01342_01432_03142_03412_03421_04132_04312_04321_30142_30412_30421
Counting sequence:
1, 1, 2, 6, 24, 109, 522, 2561, 12765, 64486, 329766, 1704944, 8900758, 46863539, 248584004, 1327233740, 7127315219, 38470665087, 208604032649, 1135806258088, 6207293801222, 34038332741575, 187228984771937, 1032770485798140, 5711645182760584, 31663400400960277, 175919871981562188, 979408261269289674, 5463134486431692298, 30527646047153001509, 170870675990639430051, 957897031139777554678, 5377812525712283549760, 30233623594948372187672, 170191514217565116569227, 959217539588436786710579, 5412510745427965922600746, 30574273149100783601003862, 172887882560073882443578415, 978590997529013392597962030, 5544278146143248312629569687, 31439551696835341758521056498, 178433752278876019237816988323, 1013514675517078545855530706459, 5761288535941775841496387975380, 32774115824128238856040919659610, 186573642351564466877288408115310, 1062831920726434983599803055242221, 6058452787547189921674635466062809, 34556542763744724371808511799161808, 197223891733034254218956623144540496, 1126261722234182192051519902284244818, 6435171819456319975070936515776289159, 36788576878602333884149262505909122466, 210421124467149863755455815899711870113, 1204151536060345779544952818081092858268, 6894150905794115299479300386594788436580, 39489445487706105555652810906970737722889, 226295041629785383354222459413668245025395, 1297347393050177080298253054577938858228051, 7440782046217240096618918705743276339222872, 42692938918058092950678731630540923163129766, 245054727582866757479289297995139148247977725, 1407130394737244565307788709363760592070754548, 8082854058448832819666400182022659986430737404, 46446116488769281428465511431260861471191066049, 266983064817678399236541693792944293068172991526, 1535193863981221800733594444085606885503872907573, 8830467637995767030664226541100645591068602534626, 50809051818744637246874270125104694859027287952720, 292436450300914935600035310174901416160509101718592, 1683647704723214097241701631070027424604669946309106, 9696090950176640071463399542035659238021054981808781, 55855308688998911951466794106419886045261240603670322, 321848334765878118842189302936725123969179700232798966, 1855042901224600244703876295636975883600172531502211153, 10694722033764464720157637371255430059811829478613291173, 61672987200970301152934656923721551027124868555703783297, 355735827221479317199614328894673339236114871957088010776, 2052412599602507534224652541138303741763265033853099575987, 11844141480206563303208831978840694119707945306753752186357, 68366264401415641674035231110436918688965888062134200451255, 394709023575665352699313929936258116466638925532928143151112, 2279328279790092960970455891444742746794115557477882166992081, 13165249140152053758944018542499456164729013475343889315549786, 76057405050817855494918519901859419268553250420461852257000944, 439482977523449595865862645027807160695066401145697244415861775, 2539970838363314226830794490692526891699840190956470442663217657, 14682485291303596348150461809205488451933958230821047336027781693, 84889252450353773643051172728790066485529453083094937340634534336, 490892408415640455370879117080866662306813800367786641963694792973, 2839217319356149559509898932548484878751205796306636367864493400740, 16424341493719164241554588979244484148082024782977649180306459651532, 95028234471126469938196178389583786323728302859779813221426232887697, 549909374592922880575208421295310944369018997963899794701125625077985, 3182744744535622804788621472490557317903453694277603129371597621080375, 18423970200508323788332866285078103248659249109207970104933418619577614, 106667940734684009175805452921073457800661470718720830455736688831562140, 617664254101880619996551148507485848537592562212394606420881025452897635, 3577153117059391220467518618592707304978368436384264027761747520392796414, 20719905628617229723567267464530887408781166038584096806902896031670924758
Implicit equation for the generating function in Maple syntax:
x^4*(x-1)*(x^2-x+1)*(7*x^3-20*x^2+14*x-3)*F(x)^6-2*x^3*(2*x-1)*(2*x^5-7*x^4+12*x^3-12*x^2+8*x-2)*F(x)^5-x^2*(8*x^6-40*x^5+93*x^4-116*x^3+72*x^2-20*x+2)*F(x)^4+4*x*(x^4-4*x^3+10*x^2-6*x+1)*(x-1)^2*F(x)^3+(9*x^4-16*x^3+6*x-1)*(x-1)^2*F(x)^2-6*x*(x-1)^4*F(x)+(x-1)^4 = 0
Implicit equation for the generating function in latex syntax:
x^{4} \left(x -1\right) \left(x^{2}-x +1\right) \left(7 x^{3}-20 x^{2}+14 x -3\right) F \! \left(x \right)^{6}-2 x^{3} \left(2 x -1\right) \left(2 x^{5}-7 x^{4}+12 x^{3}-12 x^{2}+8 x -2\right) F \! \left(x \right)^{5}-x^{2} \left(8 x^{6}-40 x^{5}+93 x^{4}-116 x^{3}+72 x^{2}-20 x +2\right) F \! \left(x \right)^{4}+4 x \left(x^{4}-4 x^{3}+10 x^{2}-6 x +1\right) \left(x -1\right)^{2} F \! \left(x \right)^{3}+\left(9 x^{4}-16 x^{3}+6 x -1\right) \left(x -1\right)^{2} F \! \left(x \right)^{2}-6 x \left(x -1\right)^{4} F \! \left(x \right)+\left(x -1\right)^{4} = 0
Recurrence in maple format:
a(0) = 1
a(1) = 1
a(2) = 2
a(3) = 6
a(4) = 24
a(5) = 109
a(6) = 522
a(7) = 2561
a(8) = 12765
a(9) = 64486
a(10) = 329766
a(11) = 1704944
a(12) = 8900758
a(13) = 46863539
a(14) = 248584004
a(15) = 1327233740
a(16) = 7127315219
a(17) = 38470665087
a(18) = 208604032649
a(19) = 1135806258088
a(20) = 6207293801222
a(21) = 34038332741575
a(22) = 187228984771937
a(23) = 1032770485798140
a(24) = 5711645182760584
a(25) = 31663400400960277
a(26) = 175919871981562188
a(27) = 979408261269289674
a(28) = 5463134486431692298
a(29) = 30527646047153001509
a(30) = 170870675990639430051
a(31) = 957897031139777554678
a(32) = 5377812525712283549760
a(33) = 30233623594948372187672
a(34) = 170191514217565116569227
a(35) = 959217539588436786710579
a(36) = 5412510745427965922600746
a(37) = 30574273149100783601003862
a(38) = 172887882560073882443578415
a(39) = 978590997529013392597962030
a(40) = 5544278146143248312629569687
a(41) = 31439551696835341758521056498
a(42) = 178433752278876019237816988323
a(43) = 1013514675517078545855530706459
a(44) = 5761288535941775841496387975380
a(45) = 32774115824128238856040919659610
a(46) = 186573642351564466877288408115310
a(47) = 1062831920726434983599803055242221
a(48) = 6058452787547189921674635466062809
a(49) = 34556542763744724371808511799161808
a(50) = 197223891733034254218956623144540496
a(51) = 1126261722234182192051519902284244818
a(52) = 6435171819456319975070936515776289159
a(53) = 36788576878602333884149262505909122466
a(54) = 210421124467149863755455815899711870113
a(55) = 1204151536060345779544952818081092858268
a(56) = 6894150905794115299479300386594788436580
a(57) = 39489445487706105555652810906970737722889
a(58) = 226295041629785383354222459413668245025395
a(59) = 1297347393050177080298253054577938858228051
a(60) = 7440782046217240096618918705743276339222872
a(61) = 42692938918058092950678731630540923163129766
a(62) = 245054727582866757479289297995139148247977725
a(63) = 1407130394737244565307788709363760592070754548
a(64) = 8082854058448832819666400182022659986430737404
a(65) = 46446116488769281428465511431260861471191066049
a(66) = 266983064817678399236541693792944293068172991526
a(67) = 1535193863981221800733594444085606885503872907573
a(68) = 8830467637995767030664226541100645591068602534626
a(69) = 50809051818744637246874270125104694859027287952720
a(70) = 292436450300914935600035310174901416160509101718592
a(71) = 1683647704723214097241701631070027424604669946309106
a(72) = 9696090950176640071463399542035659238021054981808781
a(73) = 55855308688998911951466794106419886045261240603670322
a(74) = 321848334765878118842189302936725123969179700232798966
a(75) = 1855042901224600244703876295636975883600172531502211153
a(76) = 10694722033764464720157637371255430059811829478613291173
a(77) = 61672987200970301152934656923721551027124868555703783297
a(78) = 355735827221479317199614328894673339236114871957088010776
a(79) = 2052412599602507534224652541138303741763265033853099575987
a(80) = 11844141480206563303208831978840694119707945306753752186357
a(81) = 68366264401415641674035231110436918688965888062134200451255
a(82) = 394709023575665352699313929936258116466638925532928143151112
a(83) = 2279328279790092960970455891444742746794115557477882166992081
a(84) = 13165249140152053758944018542499456164729013475343889315549786
a(85) = 76057405050817855494918519901859419268553250420461852257000944
a(86) = 439482977523449595865862645027807160695066401145697244415861775
a(87) = 2539970838363314226830794490692526891699840190956470442663217657
a(88) = 14682485291303596348150461809205488451933958230821047336027781693
a(89) = 84889252450353773643051172728790066485529453083094937340634534336
a(90) = 490892408415640455370879117080866662306813800367786641963694792973
a(91) = 2839217319356149559509898932548484878751205796306636367864493400740
a(92) = 16424341493719164241554588979244484148082024782977649180306459651532
a(93) = 95028234471126469938196178389583786323728302859779813221426232887697
a(94) = 549909374592922880575208421295310944369018997963899794701125625077985
a(95) = 3182744744535622804788621472490557317903453694277603129371597621080375
a(96) = 18423970200508323788332866285078103248659249109207970104933418619577614
a(97) = 106667940734684009175805452921073457800661470718720830455736688831562140
a(98) = 617664254101880619996551148507485848537592562212394606420881025452897635
a(99) = 3577153117059391220467518618592707304978368436384264027761747520392796414
a(100) = 20719905628617229723567267464530887408781166038584096806902896031670924758
a(101) = 120033345979552945774944516168552183042844008943185461201702468105112264697
a(102) = 695470481275739899763863313620983176707973871518157294510586734367417421264
a(103) = 4030110270446764602651151820930491969681577518076956352784057153499385239045
a(104) = 23356911765669294635941884832501908797670266162715069375040217714588705822808
a(105) = 135385773734037650062658964725047454346250980423662879305135433676646738804780
a(106) = 784853596121853301161359172053559007646052917440328327704864358363144788287470
a(107) = 4550521853262841467392154658877155944732630967645108681010330960936133613207253
a(108) = 26386976926387521747479295197603502992609266144594999649552216723065879962624118
a(109) = 153028714705476031245949698495534632965513751186273805005326249665531795529227652
a(110) = 887585280116574718210958078627266755808432141878889508580510825147575699732981556
a(111) = 5148730412104694386825723905099150205998524092658216856755064388172129873250213457
a(112) = 29870478152696093296253114515131595946442750826953223127344373084432988708032388988
a(113) = 173314636736574262719373670773119611087410403889246015815310848077115058826076356399
a(114) = 1005723181968386611840908292972758691839545594958998186741220073942541777287131614627
a(115) = 5836748289103464144282163329164900701761686628248520227809556026367453760855478195419
a(116) = 33877543126785889849290984206404445771398843268094940646029185287246625036029196360740
a(117) = 196652948605175552965874858704726052400999633361381736249428866461051374390658388064116
a(118) = 1141657484797830645210540477556747591258442679978259753040435435910996535323301987788577
a(119) = 6628529911001400668188802412943528696043457223199587052068903945707160013435411969004539
a(n+120) = -1/1734*(18401287*n^2+4260294567*n+246587131020)/(n+121)/(n+120)*a(n+118)-5/2601*(9511268414*n^4+4365154237554*n^3+751251405725713*n^2+57462142293455523*n+1648173683985408288)/(n+120)/(n+119)/(n+118)/(n+121)*a(n+116)+5/2601*(265327205*n^3+91735987434*n^2+10572380739130*n+406144892307768)/(n+120)/(n+119)/(n+121)*a(n+117)+1/665856*(45713482595962546399*n^5+25214321059440852833735*n^4+5562917329533935324916195*n^3+613649493314236635793820245*n^2+33845479972856445978675676226*n+746678355776027345530276825440)/(n+120)/(n+119)/(n+118)/(n+117)/(n+121)*a(n+111)-1/332928*(1465744104526173919*n^5+815669174868623082925*n^4+181560722017556765124195*n^3+20206532427323340674563955*n^2+1124407654945583648305636286*n+25026952170255309966505081440)/(n+120)/(n+119)/(n+118)/(n+117)/(n+121)*a(n+112)+1/41616*(10398468289260798*n^5+5837559481275752180*n^4+1310825017520618413365*n^3+147170124012830022924445*n^2+8261448228785391515123742*n+185500191405528859888177920)/(n+120)/(n+119)/(n+118)/(n+117)/(n+121)*a(n+113)-1/20808*(257154583860724*n^5+145617404123518120*n^4+32982467666679939515*n^3+3735200515776607091450*n^2+211497709167419935778781*n+4790142459057007920160890)/(n+120)/(n+119)/(n+118)/(n+117)/(n+121)*a(n+114)+1/10404*(5429159634529*n^5+3100689582045935*n^4+708327481601509040*n^3+80904015586213739440*n^2+4620258736181841863556*n+105538953813055210507680)/(n+120)/(n+119)/(n+118)/(n+117)/(n+121)*a(n+115)-1/21818769408*(59160318772068111413199386015130075399368803143*n^5+8911424324709309311398308513034439893613394496620*n^4+536263673783150973345811525501248490961937077325085*n^3+16116077707460730020923519901830910493862106759691870*n^2+241887389795761325149463115690442329772968738116892812*n+1450612570300225472269664478800471850150697875459190170)/(n+120)/(n+119)/(n+118)/(n+117)/(n+121)*a(n+27)+1/43637538816*(248788149943290496665130383113332267715993359783*n^5+38747136781703369175930620817226428191227430274435*n^4+2410720705750961693341899532687306207420036414549815*n^3+74901497988943304723414973376564962239506820588733045*n^2+1162242997609446745080291375494383228292499888964724822*n+7205771502731384644089314128886083806902450355125208300)/(n+120)/(n+119)/(n+118)/(n+117)/(n+121)*a(n+28)-5/43637538816*(97994820042341813830945469434216847893636359913*n^5+15774683766378442693388074545606309563664042568913*n^4+1014321069270289197578408582266961336150451526177787*n^3+32568095472703308087973547524597644808423118058985051*n^2+522207404741022087166717499593168004560312193197175388*n+3345385329308170647370134043159872899387475112101098244)/(n+120)/(n+119)/(n+118)/(n+117)/(n+121)*a(n+29)+5/21818769408*(79930196383805511300679734198199824865*n^5+5361115755148491519864842914878448530421*n^4+143705455561580107254490626897088463122046*n^3+1924276737017600183436516676842733768408805*n^2+12871452339687892268610608051711329918860321*n+34405699749810913382919266652926432840869866)/(n+120)/(n+119)/(n+118)/(n+117)/(n+121)*a(n+11)-5/21818769408*(376895887302962573038821433633623714132*n^5+26974429713960461170677428118101412991340*n^4+771645804126612878516398897742584143891385*n^3+11028868611904576319842814546278118199825196*n^2+78757302544685939427830306716328415986948795*n+224794089300211760209298876169390415112366832)/(n+120)/(n+119)/(n+118)/(n+117)/(n+121)*a(n+12)+1/87275077632*(31498696606271609717845191822732236248961*n^5+2391389717514748031999742247034618020078185*n^4+72567794631929072267269308186565794424686565*n^3+1100257227411201351846099510232998272312252175*n^2+8335083381395178800439409350918272684252226834*n+25239907210352001226023109721591621230767041040)/(n+120)/(n+119)/(n+118)/(n+117)/(n+121)*a(n+13)-1/21818769408*(28934960505665335625956703621553686845764*n^5+2314953600115808185004762380845319818419115*n^4+74010403774576744990497346356142612178492800*n^3+1181949976736284271812204242005005701183296805*n^2+9429190626553957722392410234849425915140757836*n+30062187603105002991024807321309907321705302360)/(n+120)/(n+119)/(n+118)/(n+117)/(n+121)*a(n+14)+1/43637538816*(108315693611271467301901318373087314254440563660051*n^5+30106046887762632372606186659962838762684490813185335*n^4+3349784548476714750004537187995125126756195659458885935*n^3+186516118731940980162192312918382594660606530915236057945*n^2+5197302935558617574709731172388641299649869956507063329014*n+57985278890244369178263495065273423993580063199091332210440)/(n+120)/(n+119)/(n+118)/(n+117)/(n+121)*a(n+56)-1/21818769408*(40187386433583139229018957302936994280223202518186*n^5+11450963026500970518805598754258212384595358258600535*n^4+1306697146413409304516419597296545594222181691004888760*n^3+74648475610341692650784212340474292291019680820249766875*n^2+2135015495128680819122315856559994347895662019089817078624*n+24458206175623442856898686960008629358408068259981717109120)/(n+120)/(n+119)/(n+118)/(n+117)/(n+121)*a(n+57)-1/43637538816*(64429936003515310059889691899295214605120780732229*n^5+15767490044757586496617109389586027485350138128884055*n^4+15371901713770645637998963378412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0606294901967205*n^2+34347762357573519198002565002323658900097164866877029186*n+250189628962294812870090075016714361839771579483294347360)/(n+120)/(n+119)/(n+118)/(n+117)/(n+121)*a(n+33)+1/43637538816*(2532426994736404529539027079312773575192154542131*n^5+449928821340991075733394012768832655561526445943735*n^4+31907614836691315535632427378709239194581880902585595*n^3+1129207046250292765830275488282701953221737277871816905*n^2+19945612731320089798928565311561965502337309791058444114*n+140690187590119150088377111331706252995873252637482601600)/(n+120)/(n+119)/(n+118)/(n+117)/(n+121)*a(n+32)-5/43637538816*(312968992268888867007270980919184314484295531009*n^5+53796200403580968570225880664301023201560572527471*n^4+3692267394976285194437886283873239345868562134282943*n^3+126500427289745330938490897895057420567118848051848281*n^2+2163704379768311067065069479513238556366277010115668012*n+14782412588109043432114688289483950438540074665232838076)/(n+120)/(n+119)/(n+118)/(n+117)/(n+121)*a(n+31)+1/43637538816*(904559182334698451341889877958189605630994533459*n^5+150469034852983163410537308982089245539736943038785*n^4+9996508030679289083571755096249347882899045837886425*n^3+331584350489331317300032839590543802145289297663641415*n^2+5491908345929618599983158224518117427931177252548170696*n+36338016158703337561051832209672229687460311479041000540)/(n+120)/(n+119)/(n+118)/(n+117)/(n+121)*a(n+30)+1/87275077632*(378154219770081929670843179793261863404677771083*n^5+145240832419872851784739598718475000645900600158555*n^4+22312424015817798734153389969312730109300892623834595*n^3+1713769775886451826262396867085532474697071330040866325*n^2+65812035252934682844818746086859795892674954858128089442*n+1010868499765043821932703063792902041177493093018500609520)/(n+120)/(n+119)/(n+118)/(n+117)/(n+121)*a(n+77)-5/43637538816*(18218548162376342928954064713269885390097049003*n^5+7088418115952792358549938782887045891695446951067*n^4+1103129212664336050289147650987255152181959331804217*n^3+85833044033416849675702010366986152427481581170308797*n^2+3339129466459713618062899918541287214261608843214871684*n+51957964346314388550440334856150673083759081676908349328)/(n+120)/(n+119)/(n+118)/(n+117)/(n+121)*a(n+78)+5/87275077632*(16844753265173849687361591344826979419527764727*n^5+6637904958321698065861436845130406565538327025827*n^4+1046264774500981530264004552295415124432227769206223*n^3+82452921371339679947173960694760244513945049632798693*n^2+3248807706451677979379092371404507296842511054375505106*n+51201784690831010219226388561136126580567048852464952288)/(n+120)/(n+119)/(n+118)/(n+117)/(n+121)*a(n+79), n >= 120
Recurrence in latex format:
a(0) = 1
a(1) = 1
a(2) = 2
a(3) = 6
a(4) = 24
a(5) = 109
a(6) = 522
a(7) = 2561
a(8) = 12765
a(9) = 64486
a(10) = 329766
a(11) = 1704944
a(12) = 8900758
a(13) = 46863539
a(14) = 248584004
a(15) = 1327233740
a(16) = 7127315219
a(17) = 38470665087
a(18) = 208604032649
a(19) = 1135806258088
a(20) = 6207293801222
a(21) = 34038332741575
a(22) = 187228984771937
a(23) = 1032770485798140
a(24) = 5711645182760584
a(25) = 31663400400960277
a(26) = 175919871981562188
a(27) = 979408261269289674
a(28) = 5463134486431692298
a(29) = 30527646047153001509
a(30) = 170870675990639430051
a(31) = 957897031139777554678
a(32) = 5377812525712283549760
a(33) = 30233623594948372187672
a(34) = 170191514217565116569227
a(35) = 959217539588436786710579
a(36) = 5412510745427965922600746
a(37) = 30574273149100783601003862
a(38) = 172887882560073882443578415
a(39) = 978590997529013392597962030
a(40) = 5544278146143248312629569687
a(41) = 31439551696835341758521056498
a(42) = 178433752278876019237816988323
a(43) = 1013514675517078545855530706459
a(44) = 5761288535941775841496387975380
a(45) = 32774115824128238856040919659610
a(46) = 186573642351564466877288408115310
a(47) = 1062831920726434983599803055242221
a(48) = 6058452787547189921674635466062809
a(49) = 34556542763744724371808511799161808
a(50) = 197223891733034254218956623144540496
a(51) = 1126261722234182192051519902284244818
a(52) = 6435171819456319975070936515776289159
a(53) = 36788576878602333884149262505909122466
a(54) = 210421124467149863755455815899711870113
a(55) = 1204151536060345779544952818081092858268
a(56) = 6894150905794115299479300386594788436580
a(57) = 39489445487706105555652810906970737722889
a(58) = 226295041629785383354222459413668245025395
a(59) = 1297347393050177080298253054577938858228051
a(60) = 7440782046217240096618918705743276339222872
a(61) = 42692938918058092950678731630540923163129766
a(62) = 245054727582866757479289297995139148247977725
a(63) = 1407130394737244565307788709363760592070754548
a(64) = 8082854058448832819666400182022659986430737404
a(65) = 46446116488769281428465511431260861471191066049
a(66) = 266983064817678399236541693792944293068172991526
a(67) = 1535193863981221800733594444085606885503872907573
a(68) = 8830467637995767030664226541100645591068602534626
a(69) = 50809051818744637246874270125104694859027287952720
a(70) = 292436450300914935600035310174901416160509101718592
a(71) = 1683647704723214097241701631070027424604669946309106
a(72) = 9696090950176640071463399542035659238021054981808781
a(73) = 55855308688998911951466794106419886045261240603670322
a(74) = 321848334765878118842189302936725123969179700232798966
a(75) = 1855042901224600244703876295636975883600172531502211153
a(76) = 10694722033764464720157637371255430059811829478613291173
a(77) = 61672987200970301152934656923721551027124868555703783297
a(78) = 355735827221479317199614328894673339236114871957088010776
a(79) = 2052412599602507534224652541138303741763265033853099575987
a(80) = 11844141480206563303208831978840694119707945306753752186357
a(81) = 68366264401415641674035231110436918688965888062134200451255
a(82) = 394709023575665352699313929936258116466638925532928143151112
a(83) = 2279328279790092960970455891444742746794115557477882166992081
a(84) = 13165249140152053758944018542499456164729013475343889315549786
a(85) = 76057405050817855494918519901859419268553250420461852257000944
a(86) = 439482977523449595865862645027807160695066401145697244415861775
a(87) = 2539970838363314226830794490692526891699840190956470442663217657
a(88) = 14682485291303596348150461809205488451933958230821047336027781693
a(89) = 84889252450353773643051172728790066485529453083094937340634534336
a(90) = 490892408415640455370879117080866662306813800367786641963694792973
a(91) = 2839217319356149559509898932548484878751205796306636367864493400740
a(92) = 16424341493719164241554588979244484148082024782977649180306459651532
a(93) = 95028234471126469938196178389583786323728302859779813221426232887697
a(94) = 549909374592922880575208421295310944369018997963899794701125625077985
a(95) = 3182744744535622804788621472490557317903453694277603129371597621080375
a(96) = 18423970200508323788332866285078103248659249109207970104933418619577614
a(97) = 106667940734684009175805452921073457800661470718720830455736688831562140
a(98) = 617664254101880619996551148507485848537592562212394606420881025452897635
a(99) = 3577153117059391220467518618592707304978368436384264027761747520392796414
a(100) = 20719905628617229723567267464530887408781166038584096806902896031670924758
a(101) = 120033345979552945774944516168552183042844008943185461201702468105112264697
a(102) = 695470481275739899763863313620983176707973871518157294510586734367417421264
a(103) = 4030110270446764602651151820930491969681577518076956352784057153499385239045
a(104) = 23356911765669294635941884832501908797670266162715069375040217714588705822808
a(105) = 135385773734037650062658964725047454346250980423662879305135433676646738804780
a(106) = 784853596121853301161359172053559007646052917440328327704864358363144788287470
a(107) = 4550521853262841467392154658877155944732630967645108681010330960936133613207253
a(108) = 26386976926387521747479295197603502992609266144594999649552216723065879962624118
a(109) = 153028714705476031245949698495534632965513751186273805005326249665531795529227652
a(110) = 887585280116574718210958078627266755808432141878889508580510825147575699732981556
a(111) = 5148730412104694386825723905099150205998524092658216856755064388172129873250213457
a(112) = 29870478152696093296253114515131595946442750826953223127344373084432988708032388988
a(113) = 173314636736574262719373670773119611087410403889246015815310848077115058826076356399
a(114) = 1005723181968386611840908292972758691839545594958998186741220073942541777287131614627
a(115) = 5836748289103464144282163329164900701761686628248520227809556026367453760855478195419
a(116) = 33877543126785889849290984206404445771398843268094940646029185287246625036029196360740
a(117) = 196652948605175552965874858704726052400999633361381736249428866461051374390658388064116
a(118) = 1141657484797830645210540477556747591258442679978259753040435435910996535323301987788577
a(119) = 6628529911001400668188802412943528696043457223199587052068903945707160013435411969004539
a{\left(n + 120 \right)} = - \frac{729593028722237115090046399 \left(n + 1\right) \left(n + 2\right) \left(n + 3\right) \left(n + 4\right) \left(n + 5\right) a{\left(n \right)}}{87275077632 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} + \frac{3757565 \left(n + 2\right) \left(n + 3\right) \left(n + 4\right) \left(n + 5\right) \left(4597272114978270175847 n + 26729001771514401796417\right) a{\left(n + 1 \right)}}{29091692544 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} - \frac{1715 \left(n + 3\right) \left(n + 4\right) \left(n + 5\right) \left(527937431730021286031828395 n^{2} + 6660433611395282295159319919 n + 20958280205190548034353100046\right) a{\left(n + 2 \right)}}{43637538816 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} + \frac{245 \left(n + 4\right) \left(n + 5\right) \left(84695530410226572338035409057 n^{3} + 1728325718965331476981147747626 n^{2} + 11713120640277289155922400170261 n + 26353453760474440189506245378508\right) a{\left(n + 3 \right)}}{43637538816 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} - \frac{7 \left(n + 5\right) \left(25059469893931685885496194462778 n^{4} + 731367283034088148906423327790125 n^{3} + 7967171681870042740395528664545440 n^{2} + 38380546524375378655768725930902125 n + 68963353662584869349091395044915782\right) a{\left(n + 4 \right)}}{21818769408 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} + \frac{\left(253579 n + 29484109\right) a{\left(n + 119 \right)}}{1734 \left(n + 121\right)} - \frac{\left(18401287 n^{2} + 4260294567 n + 246587131020\right) a{\left(n + 118 \right)}}{1734 \left(n + 120\right) \left(n + 121\right)} + \frac{5 \left(265327205 n^{3} + 91735987434 n^{2} + 10572380739130 n + 406144892307768\right) a{\left(n + 117 \right)}}{2601 \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} - \frac{5 \left(9511268414 n^{4} + 4365154237554 n^{3} + 751251405725713 n^{2} + 57462142293455523 n + 1648173683985408288\right) a{\left(n + 116 \right)}}{2601 \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} + \frac{\left(5429159634529 n^{5} + 3100689582045935 n^{4} + 708327481601509040 n^{3} + 80904015586213739440 n^{2} + 4620258736181841863556 n + 105538953813055210507680\right) a{\left(n + 115 \right)}}{10404 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} - \frac{\left(257154583860724 n^{5} + 145617404123518120 n^{4} + 32982467666679939515 n^{3} + 3735200515776607091450 n^{2} + 211497709167419935778781 n + 4790142459057007920160890\right) a{\left(n + 114 \right)}}{20808 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} + \frac{\left(10398468289260798 n^{5} + 5837559481275752180 n^{4} + 1310825017520618413365 n^{3} + 147170124012830022924445 n^{2} + 8261448228785391515123742 n + 185500191405528859888177920\right) a{\left(n + 113 \right)}}{41616 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} - \frac{\left(1465744104526173919 n^{5} + 815669174868623082925 n^{4} + 181560722017556765124195 n^{3} + 20206532427323340674563955 n^{2} + 1124407654945583648305636286 n + 25026952170255309966505081440\right) a{\left(n + 112 \right)}}{332928 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} + \frac{\left(45713482595962546399 n^{5} + 25214321059440852833735 n^{4} + 5562917329533935324916195 n^{3} + 613649493314236635793820245 n^{2} + 33845479972856445978675676226 n + 746678355776027345530276825440\right) a{\left(n + 111 \right)}}{665856 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} - \frac{\left(638427138512883854819 n^{5} + 348993256363902933574545 n^{4} + 76308935822532728242459045 n^{3} + 8342505861644201457558821595 n^{2} + 456016427210048255874163761456 n + 9970509891227830440462077479260\right) a{\left(n + 110 \right)}}{665856 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} + \frac{\left(8059904126429153335877 n^{5} + 4366128903574556530606995 n^{4} + 946054441497165640317818280 n^{3} + 102494061175246632905604297750 n^{2} + 5551934821792050952920471545128 n + 120293780983572640604272449825000\right) a{\left(n + 109 \right)}}{665856 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} - \frac{5 \left(74133440488184202604759 n^{5} + 39792615237441069978566573 n^{4} + 8543658393680661375814639255 n^{3} + 917167036231650215291899501939 n^{2} + 49228461112137249930375861451066 n + 1056908575309581893465143819532424\right) a{\left(n + 108 \right)}}{2663424 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} + \frac{\left(2603039692880767050363651 n^{5} + 1384373987438609249494818615 n^{4} + 294495903157194823904694166385 n^{3} + 31323362661445458374289885856775 n^{2} + 1665792445143345304552328215523694 n + 35434545565942950469571208564267480\right) a{\left(n + 107 \right)}}{1775616 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} - \frac{\left(75743865544441612954228551 n^{5} + 39908788311751849375143005185 n^{4} + 8410908296291628166384463565590 n^{3} + 886299779152641509391104099776385 n^{2} + 46696235235845356586222907005384359 n + 984094179525609143692390757874731010\right) a{\left(n + 106 \right)}}{5326848 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} + \frac{\left(1358633906365305674885814953 n^{5} + 709148142238747817678499351435 n^{4} + 148055602117331006203565192984550 n^{3} + 15455255349064253124122101845543540 n^{2} + 806661049870055928424931414419453432 n + 16840680556119734419619483125124918640\right) a{\left(n + 105 \right)}}{10653696 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} - \frac{\left(180921216603945151496237875873 n^{5} + 93541170290832537036641786942675 n^{4} + 19345035256105960672398852090986325 n^{3} + 2000321440278731009034483856961164045 n^{2} + 103417418065386082425222547119717734522 n + 2138657874226951622549823485472956494800\right) a{\left(n + 104 \right)}}{170459136 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} + \frac{5 \left(560688918790959497896460039405 n^{5} + 287130431792352441800203160444477 n^{4} + 58815254472669636593835056220545973 n^{3} + 6023714131280535530735147663773702051 n^{2} + 308462548046020842770182758026456843470 n + 6318214017028537752046557264140851954416\right) a{\left(n + 103 \right)}}{340918272 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} - \frac{\left(20275799977909265428199560061221 n^{5} + 10283567524433316813654869913458655 n^{4} + 2086234896526169254755330288092449425 n^{3} + 211614934273946431322216677319290686225 n^{2} + 10732310473584719503637815763525795866874 n + 217717848646154525618628316817278421694720\right) a{\left(n + 102 \right)}}{340918272 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} + \frac{\left(34308551716657613091645032943321 n^{5} + 17232189356032390297221615345792880 n^{4} + 3462041201942403844802873935302444805 n^{3} + 347766558633560052183845872350247843280 n^{2} + 17466557322439297156130028776794474594094 n + 350897929437800994199898826881920799517900\right) a{\left(n + 101 \right)}}{85229568 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} - \frac{\left(1742447671452346997114048954467867 n^{5} + 866627890924594204900501203759361585 n^{4} + 172408788978519115284741545528067760335 n^{3} + 17149445105994169632734303338556721398255 n^{2} + 852913076270883287106606253229936072816078 n + 16967333167770525978777427780687792544318520\right) a{\left(n + 100 \right)}}{681836544 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} + \frac{\left(9331408720970066702556813314409343 n^{5} + 363476398865553763625367512386990755 n^{4} + 5632826294887742380631705407805942215 n^{3} + 43397363068086111741590820116722401645 n^{2} + 166166239779956048051219424137028611842 n + 252878469267491292532888033761971022360\right) a{\left(n + 5 \right)}}{87275077632 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} + \frac{\left(20794159748923036389768098637491203 n^{5} + 10240246326470183773110040974306890555 n^{4} + 2017127671337818701275459368918359089195 n^{3} + 198664576349600319711782063554369429989325 n^{2} + 9782990795574590251471177629723604026830802 n + 192697952241492530288774132092075027842116280\right) a{\left(n + 99 \right)}}{1363673088 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} - \frac{\left(101615333213647521364795017123109029 n^{5} + 4441057886323199669514535771468803475 n^{4} + 77339983260970212635969409805299769345 n^{3} + 670692010990115946401904600129137279645 n^{2} + 2895633478756890483289249808076604896746 n + 4978008995354739440231155110707331019200\right) a{\left(n + 6 \right)}}{87275077632 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} - \frac{\left(116844296531466520461989184397010823 n^{5} + 56968198027264684015463780621182572205 n^{4} + 11109935722149299715060538884835417233925 n^{3} + 1083315150914692110101464214498861574143375 n^{2} + 52815620896666492175856242485781180195003252 n + 1029969457622721097754054804685619108528581060\right) a{\left(n + 98 \right)}}{1363673088 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} + \frac{\left(931110609181271320308841053991083959 n^{5} + 45103315724281582859014640106541150695 n^{4} + 871493994953277078376045455392181524015 n^{3} + 8394791812088942101458045449093680896345 n^{2} + 40306412813307786425858888828474510956346 n + 77157003305956127193743467839152879092080\right) a{\left(n + 7 \right)}}{87275077632 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} - \frac{\left(1034143353035341203918554918393762776 n^{5} + 494072742644987415915312301676037540235 n^{4} + 94418139313844515124449285456756943799555 n^{3} + 9021618861563828415631359641785621461990725 n^{2} + 431000822485682853255155878313021485022199669 n + 8236190553612219630014483598698298664192564480\right) a{\left(n + 96 \right)}}{454557696 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} + \frac{\left(1238758235753860795524707608604173801 n^{5} + 597896148511954829223375574397836319225 n^{4} + 115430135143607485963189156445046539074285 n^{3} + 11142355359669218945068625534441990674202335 n^{2} + 537773319502380035961371998239425356815161794 n + 10381880470698546436752387684755819174971872960\right) a{\left(n + 97 \right)}}{2727346176 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} + \frac{5 \left(5005520244813112560020558951442757045 n^{5} + 289519024219424801212324640396888259695 n^{4} + 6688143344932756835989522332349238914395 n^{3} + 77128144295473323355958523447776973320605 n^{2} + 443981225272845377361769552242039663938072 n + 1020502954498072800749939156046253881072828\right) a{\left(n + 9 \right)}}{43637538816 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} - \frac{\left(7319363769469321628160256039854155851 n^{5} + 389057228880134614532700340449102278465 n^{4} + 8255141825372606135227019889636123031515 n^{3} + 87391382021728285050029698521771565603855 n^{2} + 461525264725568427925447829574840425460434 n + 972620464601410558826168603030354879475240\right) a{\left(n + 8 \right)}}{87275077632 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} + \frac{\left(39217198824463383037822681875367628327 n^{5} + 18544398485727960589303397005620187363415 n^{4} + 3507546672212249861814064813195014593751535 n^{3} + 331710174611358836460229515038795707999345865 n^{2} + 15684794800457364641271511056501939612210604938 n + 296656370077955462708123064890240071832835912640\right) a{\left(n + 95 \right)}}{3636461568 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} + \frac{5 \left(79930196383805511300679734198199824865 n^{5} + 5361115755148491519864842914878448530421 n^{4} + 143705455561580107254490626897088463122046 n^{3} + 1924276737017600183436516676842733768408805 n^{2} + 12871452339687892268610608051711329918860321 n + 34405699749810913382919266652926432840869866\right) a{\left(n + 11 \right)}}{21818769408 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} - \frac{\left(150392879379354198072031910161449787453 n^{5} + 9397353993203782124767992478002687928435 n^{4} + 234610504742207010945820058730061254940935 n^{3} + 2925123210640854003556998982528484240557085 n^{2} + 18212691635185033668699150661762187609260952 n + 45300545370504319172103247620942546375883260\right) a{\left(n + 10 \right)}}{43637538816 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} - \frac{5 \left(376895887302962573038821433633623714132 n^{5} + 26974429713960461170677428118101412991340 n^{4} + 771645804126612878516398897742584143891385 n^{3} + 11028868611904576319842814546278118199825196 n^{2} + 78757302544685939427830306716328415986948795 n + 224794089300211760209298876169390415112366832\right) a{\left(n + 12 \right)}}{21818769408 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} - \frac{\left(528546046305064733809884685716734384159 n^{5} + 247342335653544679461431393900880493306965 n^{4} + 46298692698635373561781073462733505408483155 n^{3} + 4333150140585698490970506693275942462841093435 n^{2} + 202769937727139038129095674805933993668154863566 n + 3795406442062183051925097454425155297633015893680\right) a{\left(n + 94 \right)}}{10909384704 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} + \frac{\left(563331456963732146381415175630730052528 n^{5} + 260861991518909986887969425627763236142875 n^{4} + 48318376748625350644585283010115982911892980 n^{3} + 4474852098234393829170062290847487508430766565 n^{2} + 207209629341396532078301543351074421213084467592 n + 3837922015381773036851044261115321875993081877580\right) a{\left(n + 93 \right)}}{2727346176 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} - \frac{5 \left(1217021181835945087351607513164929398977 n^{5} + 557604305039524312168362328455417724376195 n^{4} + 102190111748687717315904148910646079610351445 n^{3} + 9363894040052778692320257064793615599388792861 n^{2} + 429011605208020623595390632752153669447104585826 n + 7862064144771147465665172809559992430380796841656\right) a{\left(n + 92 \right)}}{7272923136 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} - \frac{\left(28934960505665335625956703621553686845764 n^{5} + 2314953600115808185004762380845319818419115 n^{4} + 74010403774576744990497346356142612178492800 n^{3} + 1181949976736284271812204242005005701183296805 n^{2} + 9429190626553957722392410234849425915140757836 n + 30062187603105002991024807321309907321705302360\right) a{\left(n + 14 \right)}}{21818769408 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} + \frac{\left(31498696606271609717845191822732236248961 n^{5} + 2391389717514748031999742247034618020078185 n^{4} + 72567794631929072267269308186565794424686565 n^{3} + 1100257227411201351846099510232998272312252175 n^{2} + 8335083381395178800439409350918272684252226834 n + 25239907210352001226023109721591621230767041040\right) a{\left(n + 13 \right)}}{87275077632 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} + \frac{5 \left(80181436807718962455335403877973230262105 n^{5} + 17885406386794917340712986477790474963994057 n^{4} + 1121635962175601251489670566658022067934385983 n^{3} + 30770406265234208788443248400611977948597794255 n^{2} + 393039357601903927202173837161390495008421021128 n + 1920625150255274795239050874559227308899082611256\right) a{\left(n + 18 \right)}}{43637538816 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} + \frac{5 \left(120377183964796774487291326397104642658653 n^{5} + 53382396935301249348678653888636133256162673 n^{4} + 9469052398304938513412682811336980658990261381 n^{3} + 839807186136357064698459308497060039627094413915 n^{2} + 37240655342775974922164072854649975568229067929946 n + 660556142178171421310179025408486719846605208584304\right) a{\left(n + 89 \right)}}{14545846272 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} + \frac{\left(140685901078970421215978731557659974748453 n^{5} + 63768763136522186883457836185653079552678165 n^{4} + 11561659667961561454019216327670484525602800685 n^{3} + 1048086720276843007734770207841039189180798974995 n^{2} + 47504983307075229062655406975962154800422956347502 n + 861263589221004643345832382865231665318039402442200\right) a{\left(n + 91 \right)}}{43637538816 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} - \frac{5 \left(188682073154582854486427627298576453522221 n^{5} + 16158597235927100749831170655018310682322127 n^{4} + 550610011133868605306168126871653910246290633 n^{3} + 9326242758981910819060677214386480102365335825 n^{2} + 78464297033898627712314607695038171102154005474 n + 262075255314647226315278422331002694816661463416\right) a{\left(n + 16 \right)}}{87275077632 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} - \frac{\left(258115774918868663060551608930265927394309 n^{5} + 115730512143664376578439085974497482463891215 n^{4} + 20755629317611165147483979556097447689874486010 n^{3} + 1861181425406072635113317751548952053269751677215 n^{2} + 83446157282328037798393660370297545503725097395861 n + 1496507319711431565812114334629610413095118000890710\right) a{\left(n + 90 \right)}}{21818769408 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} + \frac{\left(366187846411244853248950329479462748101229 n^{5} + 30592061926393672734763314219480454350857565 n^{4} + 1020393602654807812927950398618598598456977625 n^{3} + 16985682519185421510193409909550290167431057435 n^{2} + 141105342172531022038013690721525068981359298306 n + 467977377678991063851650927474878063924735044240\right) a{\left(n + 15 \right)}}{87275077632 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} + \frac{\left(1616289158257119088616463841238010508339323 n^{5} + 131440690960229820590175562580547250619627935 n^{4} + 4123980947711817462708831734871107300704391455 n^{3} + 61268316493394132309500112623207811361293616665 n^{2} + 414953861027446480044864524104690697491965046262 n + 925262529746947458281569359750524957294998656600\right) a{\left(n + 17 \right)}}{87275077632 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} - \frac{\left(2863669945273460870510160740336922585915836 n^{5} + 349090308314862985057570224878108648291128450 n^{4} + 16744220901312916587583396798617574113069073545 n^{3} + 396314807526481034489516990858259096603874215950 n^{2} + 4639666846469323477066763475043377420728763316279 n + 21530474700594496875954295772995894638478456159260\right) a{\left(n + 19 \right)}}{10909384704 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} - \frac{\left(12051911801403199663282995365281820747406803 n^{5} + 5285343070782523052818613154688485940100189605 n^{4} + 927138769488045154530170570956789156960330913975 n^{3} + 81316872687618539755210216966691919648568522605755 n^{2} + 3565997143653375797524258993632342340726259383095782 n + 62551211672157410412976403105674966123830064832760720\right) a{\left(n + 88 \right)}}{87275077632 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} + \frac{\left(12802570493086210256680610000912931701231431 n^{5} + 5551605778704632640415813190051917504405978215 n^{4} + 962928492914669630579544115564080516569859761055 n^{3} + 83509033881169047417252322774912491312467703578025 n^{2} + 3621069810381628550125040617994705946213148016372634 n + 62805018920351497158712653091653748501280143448878640\right) a{\left(n + 87 \right)}}{29091692544 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} - \frac{5 \left(27019733839416731344438861355904894330582952 n^{5} + 3330495174125749436502315829191818666317589131 n^{4} + 163652210135363584880296514190100207765737337624 n^{3} + 4008132308364051961461028078740395247053646276941 n^{2} + 48940423291969615805881958108911017892865851397386 n + 238383290971867940167006875379603599614003661661506\right) a{\left(n + 21 \right)}}{21818769408 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} - \frac{\left(29243935275658250197941387312329910291013942 n^{5} + 12537193525469077920041664638218641639498410355 n^{4} + 2149900423406620657655804687469398298430077297085 n^{3} + 184331632084908159729032548529089180764534029503395 n^{2} + 7902143126222326107537994879782650774330835006429013 n + 135501278010185599596816496591883958799716949899995970\right) a{\left(n + 86 \right)}}{21818769408 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} - \frac{5 \left(47489013885641344275806667947288805692211346 n^{5} + 19890790287927570275068992724615872218402558199 n^{4} + 3332445056909046180463927735299665658919984668968 n^{3} + 279148939409695009732430689289874265097471591892327 n^{2} + 11691518668207867251244458749745205930151914458393930 n + 195865412827701162542992180169042524238453427489031806\right) a{\left(n + 84 \right)}}{21818769408 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} + \frac{\left(65027936160073711849562945508235689921777467 n^{5} + 7839425137689487721456926129715861615326126745 n^{4} + 375757174638644843824491425987499948250793855865 n^{3} + 8957305358285923119381267004368825874288913998315 n^{2} + 106252858545922776915840887137965757083962972775568 n + 501986965380425370454701320391957220002412388470320\right) a{\left(n + 20 \right)}}{43637538816 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} + \frac{\left(170361779769258549213534505470836241274644787 n^{5} + 72196568004639887852593373585692832006930714565 n^{4} + 12238094757041779575167989237556496165153633218215 n^{3} + 1037227271262653656860818688758783817415502361631815 n^{2} + 43953844369080799605258158703519299828537968141914058 n + 745027973713014305599793749646417759329890518054734200\right) a{\left(n + 85 \right)}}{43637538816 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} + \frac{\left(474416552309968365598346231087349171172284921 n^{5} + 60295115747333931149177165045740499195668461600 n^{4} + 3058120158997118270513616091880016592819484802605 n^{3} + 77382593535218767222831069578861438931210427717310 n^{2} + 977011668421428156333770880701081763451741036311004 n + 4924486450711009864907515131938326913545055967570900\right) a{\left(n + 22 \right)}}{21818769408 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} + \frac{\left(633805537523438575087907366552034120674130814 n^{5} + 262338348694390854918935587991227285082753400815 n^{4} + 43432876918515357599851137758246913502052085409570 n^{3} + 3595310439594620332267919019386458475763063914501545 n^{2} + 148804160591744087055366358488961491540655754076893356 n + 2463454314093560815820404126714040256836957400777034680\right) a{\left(n + 83 \right)}}{21818769408 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} - \frac{5 \left(648349889574902023558058071110273620907528081 n^{5} + 265150236032719668308281015885617507669652608239 n^{4} + 43373494580578147958538268357519629369421034280541 n^{3} + 3547451792003039559129000562819257211434116756215477 n^{2} + 145066834348018275422146739678542593689438597811840122 n + 2372843752579179879617980435749099903573111540918417636\right) a{\left(n + 82 \right)}}{43637538816 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} + \frac{\left(5580139085133771667077249007455890149558028839 n^{5} + 758843902681683627030488519529171734588992068085 n^{4} + 41216163347936078000746375381119386830645566700075 n^{3} + 1117703487876306423122932262176940687391999442369355 n^{2} + 15134020983309993773382414502179848022021069675706366 n + 81858542143950854200474223545633892459205618794250960\right) a{\left(n + 24 \right)}}{29091692544 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} - \frac{\left(5914376773836637976841370375841677108033574007 n^{5} + 777202131539473533615221605901062449922113831395 n^{4} + 40779371367435131796821813235405616477590309443795 n^{3} + 1068005815610377388773621447794222947890982382364765 n^{2} + 13962590007174676225756753374789514327723851397783198 n + 72901783112033103773865907321315641724500875571387480\right) a{\left(n + 23 \right)}}{87275077632 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} + \frac{\left(15892889204431563176545785084921762229722930863 n^{5} + 6420807770297992853553668705380747541626356003895 n^{4} + 1037587602439802161048169150263065973307044409468755 n^{3} + 83833575980988413007880088066100430513799722990217465 n^{2} + 3386640655078176809309937579866609116932171029267787822 n + 54722751545999006673364525013176641903540466053724872960\right) a{\left(n + 81 \right)}}{87275077632 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} + \frac{5 \left(16844753265173849687361591344826979419527764727 n^{5} + 6637904958321698065861436845130406565538327025827 n^{4} + 1046264774500981530264004552295415124432227769206223 n^{3} + 82452921371339679947173960694760244513945049632798693 n^{2} + 3248807706451677979379092371404507296842511054375505106 n + 51201784690831010219226388561136126580567048852464952288\right) a{\left(n + 79 \right)}}{87275077632 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} - 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\frac{5 \left(12192573739243936576203993171980512883155213300405 n^{5} + 2747724461244921489875535184087944565893299348746353 n^{4} + 247116339823438527188319476032396374922185252277166729 n^{3} + 11086149053763609768099702157668802916509468003593612039 n^{2} + 248081096597515580463800194395142104940162647520624307058 n + 2215159156381748574602530776492250034751106914617002304424\right) a{\left(n + 44 \right)}}{43637538816 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} + \frac{\left(12639615984902770534096517705746409901409316300979 n^{5} + 4471126721348521841825300054987421171372220167480895 n^{4} + 632554695156914198879266081276176394988961675564386815 n^{3} + 44738860582640500182211849520330996380610043644320942145 n^{2} + 1581885661217073256040040056165798875845645817593347926046 n + 22369489370283046269574373127300286436454911962182553518000\right) a{\left(n + 71 \right)}}{87275077632 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} - \frac{\left(17828912864397747547647190154973765007859844733963 n^{5} + 5501303072971110728121517299931872192001527789843465 n^{4} + 680755882368996751183029777961795740127623138607237095 n^{3} + 42217806594600323552059371645936923831383762415426919915 n^{2} + 1311786493989313321482783532380041413246741364299165202822 n + 16333231274824463919016481515980916525559821582575478557660\right) a{\left(n + 59 \right)}}{43637538816 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} - \frac{\left(19529733957713792171425276451153593052569870824757 n^{5} + 6808052448166661315592498724795540731178376260025955 n^{4} + 949148941294805736245278348855337166585348710502931485 n^{3} + 66151216058196330926221688621712466746899503499527778205 n^{2} + 2304783873711115390286295046160379805543647625364477546798 n + 32114283794355097124676713524857921483396082395622554150240\right) a{\left(n + 70 \right)}}{87275077632 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} - \frac{\left(20288442356597430037166695867977180471358466260761 n^{5} + 6861586199776868317884103677096205600712411025277475 n^{4} + 927998427539778406207475758347682129609149163597973225 n^{3} + 62736728669770036652358728751773394347419636992979973845 n^{2} + 2120035437485457599336612668235550432758147159090998465594 n + 28648070652441518172171217436549412484540302972843145076340\right) a{\left(n + 68 \right)}}{43637538816 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} + \frac{\left(21288949347086499399074881708053063297025017042944 n^{5} + 4504738745779859942995613267721467327594664461984675 n^{4} + 368249530459344711910454638290443988946937278367252315 n^{3} + 14279169458691856046899922402309678294371322813671015555 n^{2} + 253137470244127420061866774499705240645765256915526240301 n + 1488321696698048342900030168240593151847076397711940572730\right) a{\left(n + 50 \right)}}{21818769408 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} + \frac{\left(25581918410724177754579704084652207574969531593384 n^{5} + 6632444661797992336183760154399386204769261932301825 n^{4} + 681822215195051407922491884416683951116682431266633335 n^{3} + 34787740993675655814383132029576189403788076236942589655 n^{2} + 881851124908152114221133807053379826201610827202299952821 n + 8892580178658644477499265018055739627799248611095468403400\right) a{\left(n + 47 \right)}}{21818769408 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} - \frac{\left(27218375158849597227607147868185772494850326994297 n^{5} + 8004559662154519137795003019153728408133088404693025 n^{4} + 910400657500364860070213362989890350202376515108780585 n^{3} + 50539753375283608715685889136835865490831973367754021695 n^{2} + 1377649327631595754189582207113901973952762807126551672498 n + 14810419989163271843140210763154117017323615510830990248340\right) a{\left(n + 48 \right)}}{43637538816 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} + \frac{\left(28367575343415112686653752224488678911752512553953 n^{5} + 8374749231214864230425676001447628415648249105477745 n^{4} + 985516312059126091680719207669649373547676473079051035 n^{3} + 57758394881224781603200901055213171465589621609859115515 n^{2} + 1684971192091573262898922826321383386121140659099731317932 n + 19561434221914672829339432108854901961458847603364553672460\right) a{\left(n + 61 \right)}}{43637538816 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} + \frac{\left(28830179310391347164084375737932289340765167391533 n^{5} + 9900951420018394543543768867886704174023303170422185 n^{4} + 1359799353281340443120962908190274919351481912936801045 n^{3} + 93357079663643224149150668860774593248217779173802018175 n^{2} + 3203983031505803149603369702220953141414619236082037758062 n + 43973338806397124303285795927942185601487734879134445256840\right) a{\left(n + 69 \right)}}{87275077632 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} + \frac{\left(33540334156799091055503749171900727059184376021619 n^{5} + 7862282816246621521601415150231356431346502636623705 n^{4} + 735282173417616186827382757328839237854098840645317380 n^{3} + 34296050238983332449959353622879909718176985065048387365 n^{2} + 797920473978973193281402412387546582081553544200012125971 n + 7408366861744188655446763129026397640679706169086890779460\right) a{\left(n + 45 \right)}}{21818769408 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} - \frac{\left(34371243732381705090132069923302791710048406608551 n^{5} + 11258778245275087917283620726246905839099303744654345 n^{4} + 1474576423280974602722998522651590203709522363297612345 n^{3} + 96521502296200295218568700289370524351900727921294244035 n^{2} + 3157560851639494143951158289647131221492109031787587769524 n + 41298058446982874642224318819297957594847218631816758953000\right) a{\left(n + 66 \right)}}{43637538816 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} - \frac{\left(39585985377549869224749979328091544833872139710086 n^{5} + 9321556804238069262474625686609440685783297066859535 n^{4} + 871655563303798402916838351807161844591460536028759920 n^{3} + 40404069876304457627638983135431834413606779120064514905 n^{2} + 926708575508173117976507038941883371931454305238938525274 n + 8393093800656450755723676457740547636039199933058786940140\right) a{\left(n + 51 \right)}}{21818769408 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} - \frac{\left(40187386433583139229018957302936994280223202518186 n^{5} + 11450963026500970518805598754258212384595358258600535 n^{4} + 1306697146413409304516419597296545594222181691004888760 n^{3} + 74648475610341692650784212340474292291019680820249766875 n^{2} + 2135015495128680819122315856559994347895662019089817078624 n + 24458206175623442856898686960008629358408068259981717109120\right) a{\left(n + 57 \right)}}{21818769408 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} + \frac{\left(45799777551282884416265576201496085918697281604993 n^{5} + 14220582001984979327765867102125976689708416651990095 n^{4} + 1764305973230142887503754735021772395858864324880021895 n^{3} + 109322522667081454422586232252111569267093198350155122585 n^{2} + 3382888116425324369747167155117061738489934987993899410252 n + 41817372473040264398775093970717822585198078727353582749540\right) a{\left(n + 63 \right)}}{43637538816 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} + \frac{\left(48708745872892852302971958038989555764327435233143 n^{5} + 14275223302697759054550174281501329257279112778371875 n^{4} + 1676500198861104536200464321078652296173377011172912145 n^{3} + 98624533451078771116263236826344385983772418637287244145 n^{2} + 2906221618717169790544036451948970992592933810164925383172 n + 34318040760462297140150659735515832007034000030461076658920\right) a{\left(n + 58 \right)}}{43637538816 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} - \frac{\left(64429936003515310059889691899295214605120780732229 n^{5} + 15767490044757586496617109389586027485350138128884055 n^{4} + 1537190171377064563799896337841258687365372595357658055 n^{3} + 74655058516959486077936261160880767731661879295478640145 n^{2} + 1806739523852937265056551077907296645425041286864590861476 n + 17435791173373603716144979072574999851703094716965754796120\right) a{\left(n + 46 \right)}}{43637538816 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} + \frac{\left(67805381221333275644274441411142625564477854529263 n^{5} + 17910890873991047058008297044219825984669483207772205 n^{4} + 1892315083427756365813337099587991690345504196731460490 n^{3} + 99958371148445534958771841716591978292618561331845134555 n^{2} + 2640052240694892292151070573736747985009238337236699921817 n + 27892265633515418135283780011765894947987351774433453850570\right) a{\left(n + 54 \right)}}{21818769408 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} + \frac{\left(81843063775406483227080830728762891786525496629809 n^{5} + 26361117310186321774561492178904499302963524853256705 n^{4} + 3394460765091276162880361639535023775270019569527537465 n^{3} + 218423610661539325616961827527174361295708489993320409335 n^{2} + 7023213763966736274470022533259520379240715831720384897766 n + 90272245790368357782253983205842935310665437227698343150600\right) a{\left(n + 65 \right)}}{87275077632 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} - \frac{\left(90637392500468324024064358891192558250900603633791 n^{5} + 28682039200559182480882845477298833385576366879560565 n^{4} + 3627892242966787916745032385025611107622648745943204755 n^{3} + 229261113843414825849853896317394694454416490072110342715 n^{2} + 7237959991092966930604897783928085509945717792147464805254 n + 91322491486207066150633497164074035255679586896582070429160\right) a{\left(n + 64 \right)}}{87275077632 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} + \frac{\left(108315693611271467301901318373087314254440563660051 n^{5} + 30106046887762632372606186659962838762684490813185335 n^{4} + 3349784548476714750004537187995125126756195659458885935 n^{3} + 186516118731940980162192312918382594660606530915236057945 n^{2} + 5197302935558617574709731172388641299649869956507063329014 n + 57985278890244369178263495065273423993580063199091332210440\right) a{\left(n + 56 \right)}}{43637538816 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} + \frac{\left(109637619257458912146645805905209558282600923543961 n^{5} + 27149861871317174714446471751166826505950831138656645 n^{4} + 2682543193407207928419238834204916524301666646282666335 n^{3} + 132160939997755354681264427209462776351351525404465474595 n^{2} + 3245762419981133037280467644729706108057044765853635489924 n + 31778799810454411023013844257416162832022047443499600713300\right) a{\left(n + 52 \right)}}{43637538816 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} - \frac{\left(127955123470495994062556212662391440672493132040959 n^{5} + 34695296681788771922506253864997086610305441204994145 n^{4} + 3764582141589938417881657292412279487421328702609822405 n^{3} + 204329124798416840161122804549794345281766324057211509735 n^{2} + 5548001198370507421623243534025651913916002124172747541696 n + 60290985087933747074392116455892889386462544171633992474180\right) a{\left(n + 55 \right)}}{43637538816 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)} - \frac{\left(129370322685389559872198051760305247062448538214239 n^{5} + 33189942024435486807465670210921929333692109357385115 n^{4} + 3402988294990232006167026560228695126299989410045995235 n^{3} + 174299833264594883748013366531840494342329016040842797905 n^{2} + 4459711095368645268871193324928038044802362530544996848406 n + 45600625901215499516508144601664968077591881548114163316300\right) a{\left(n + 53 \right)}}{43637538816 \left(n + 117\right) \left(n + 118\right) \left(n + 119\right) \left(n + 120\right) \left(n + 121\right)}, \quad n \geq 120
Specification 1
Strategy pack name: point_placements_req_corrob
Tree: http://permpal.com/tree/24455/
System of equations in Maple syntax:
F[0,x] = F[1,x]+F[2,x]
F[1,x] = 1
F[2,x] = F[3,x]
F[3,x] = F[4,x]*F[5,x]
F[4,x] = x
F[5,x] = F[0,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[4,x]*F[8,x]
F[8,x] = F[370,x]+F[9,x]
F[9,x] = F[10,x]+F[267,x]
F[10,x] = F[0,x]+F[11,x]
F[11,x] = F[12,x]
F[12,x] = F[13,x]*F[4,x]
F[13,x] = F[14,x]+F[9,x]
F[14,x] = F[15,x]
F[15,x] = F[16,x]*F[4,x]
F[16,x] = 1/F[4,x]*F[17,x]
F[17,x] = F[18,x]
F[18,x] = -F[19,x]+F[9,x]
F[19,x] = F[0,x]+F[20,x]
F[20,x] = F[21,x]
F[21,x] = F[22,x]*F[4,x]
F[22,x] = F[23,x]+F[265,x]
F[23,x] = F[24,x]+F[26,x]
F[24,x] = 1/F[4,x]*F[25,x]
F[25,x] = F[2,x]
F[26,x] = F[27,x]+F[28,x]
F[27,x] = F[0,x]*F[2,x]
F[28,x] = F[29,x]
F[29,x] = F[30,x]*F[4,x]
F[30,x] = F[31,x]+F[35,x]
F[31,x] = F[32,x]*F[33,x]
F[32,x] = -F[0,x]+F[24,x]
F[33,x] = 1/F[4,x]*F[34,x]
F[34,x] = F[2,x]
F[35,x] = F[19,x]*F[36,x]
F[36,x] = F[37,x]
F[37,x] = F[38,x]*F[4,x]
F[38,x] = 1/F[0,x]/F[4,x]*F[39,x]
F[39,x] = F[40,x]
F[40,x] = F[4,x]*F[41,x]*F[47,x]
F[41,x] = F[42,x]+F[55,x]
F[42,x] = 1/F[4,x]/F[47,x]*F[43,x]
F[43,x] = F[44,x]
F[44,x] = F[45,x]+F[50,x]
F[45,x] = F[46,x]
F[46,x] = F[0,x]^2*F[4,x]*F[47,x]
F[47,x] = F[1,x]+F[48,x]
F[48,x] = F[49,x]
F[49,x] = F[4,x]*F[47,x]
F[50,x] = F[51,x]
F[51,x] = F[4,x]*F[47,x]*F[52,x]
F[52,x] = F[44,x]+F[53,x]
F[53,x] = F[54,x]
F[54,x] = F[4,x]*F[41,x]*F[47,x]
F[55,x] = F[56,x]
F[56,x] = F[4,x]*F[57,x]
F[57,x] = 1/F[4,x]/F[71,x]*F[58,x]
F[58,x] = F[59,x]
F[59,x] = -F[264,x]+F[60,x]
F[60,x] = 1/F[4,x]*F[61,x]
F[61,x] = F[62,x]
F[62,x] = F[209,x]+F[63,x]
F[63,x] = F[64,x]
F[64,x] = F[4,x]*F[65,x]
F[65,x] = F[124,x]+F[66,x]
F[66,x] = F[2,x]*F[67,x]
F[67,x] = F[102,x]+F[68,x]
F[68,x] = F[19,x]+F[69,x]
F[69,x] = F[70,x]
F[70,x] = F[0,x]*F[101,x]*F[4,x]*F[71,x]
F[71,x] = F[72,x]+F[83,x]
F[72,x] = F[1,x]+F[73,x]
F[73,x] = F[74,x]
F[74,x] = F[4,x]*F[75,x]
F[75,x] = F[72,x]+F[76,x]
F[76,x] = F[77,x]+F[80,x]
F[77,x] = F[78,x]
F[78,x] = F[4,x]*F[79,x]
F[79,x] = F[1,x]+F[77,x]
F[80,x] = F[81,x]
F[81,x] = F[4,x]*F[82,x]
F[82,x] = F[73,x]+F[80,x]
F[83,x] = F[48,x]+F[84,x]
F[84,x] = F[85,x]+F[86,x]+F[88,x]
F[85,x] = 0
F[86,x] = F[4,x]*F[87,x]
F[87,x] = F[73,x]+F[84,x]
F[88,x] = F[4,x]*F[89,x]
F[89,x] = F[83,x]+F[90,x]
F[90,x] = F[91,x]+F[96,x]
F[91,x] = F[85,x]+F[92,x]+F[94,x]
F[92,x] = F[4,x]*F[93,x]
F[93,x] = F[77,x]+F[91,x]
F[94,x] = F[4,x]*F[95,x]
F[95,x] = F[48,x]+F[91,x]
F[96,x] = 2*F[85,x]+F[97,x]+F[99,x]
F[97,x] = F[4,x]*F[98,x]
F[98,x] = F[80,x]+F[96,x]
F[99,x] = F[100,x]*F[4,x]
F[100,x] = F[84,x]+F[96,x]
F[101,x] = F[79,x]+F[95,x]
F[102,x] = F[103,x]
F[103,x] = -F[119,x]+F[104,x]
F[104,x] = 1/F[4,x]*F[105,x]
F[105,x] = F[106,x]
F[106,x] = -F[110,x]+F[107,x]
F[107,x] = 1/F[4,x]*F[108,x]
F[108,x] = F[109,x]
F[109,x] = -F[2,x]+F[32,x]
F[110,x] = F[111,x]+F[112,x]
F[111,x] = F[2,x]*F[5,x]
F[112,x] = F[113,x]
F[113,x] = F[114,x]*F[4,x]
F[114,x] = F[115,x]+F[118,x]
F[115,x] = F[106,x]*F[116,x]
F[116,x] = 1/F[4,x]*F[117,x]
F[117,x] = F[2,x]
F[118,x] = F[59,x]
F[119,x] = F[120,x]+F[123,x]
F[120,x] = 1/F[4,x]*F[121,x]
F[121,x] = F[122,x]
F[122,x] = -F[0,x]+F[33,x]
F[123,x] = F[69,x]
F[124,x] = F[125,x]
F[125,x] = F[0,x]*F[126,x]
F[126,x] = -F[151,x]+F[127,x]
F[127,x] = 1/F[4,x]*F[128,x]
F[128,x] = F[129,x]
F[129,x] = -F[143,x]+F[130,x]
F[130,x] = -F[133,x]+F[131,x]
F[131,x] = 1/F[4,x]*F[132,x]
F[132,x] = F[109,x]
F[133,x] = F[134,x]+F[148,x]
F[134,x] = -F[142,x]+F[135,x]
F[135,x] = F[136,x]+F[137,x]
F[136,x] = F[0,x]^2
F[137,x] = F[138,x]
F[138,x] = F[0,x]*F[139,x]*F[4,x]
F[139,x] = F[120,x]+F[140,x]
F[140,x] = F[141,x]
F[141,x] = F[19,x]*F[4,x]*F[47,x]
F[142,x] = F[0,x]+F[143,x]
F[143,x] = F[144,x]
F[144,x] = F[0,x]*F[145,x]*F[4,x]
F[145,x] = F[146,x]+F[33,x]
F[146,x] = F[147,x]
F[147,x] = F[0,x]*F[4,x]*F[47,x]
F[148,x] = F[149,x]
F[149,x] = F[150,x]*F[33,x]*F[4,x]
F[150,x] = F[129,x]+F[32,x]
F[151,x] = F[0,x]*F[152,x]
F[152,x] = F[153,x]
F[153,x] = F[154,x]*F[4,x]
F[154,x] = F[155,x]+F[205,x]
F[155,x] = F[156,x]*F[47,x]
F[156,x] = F[157,x]+F[176,x]
F[157,x] = F[158,x]+F[161,x]
F[158,x] = F[159,x]+F[160,x]
F[159,x] = F[1,x]+F[4,x]
F[160,x] = F[4,x]
F[161,x] = F[162,x]+F[175,x]
F[162,x] = F[163,x]+F[73,x]
F[163,x] = F[164,x]+F[174,x]+F[85,x]
F[164,x] = F[165,x]*F[4,x]
F[165,x] = F[166,x]+F[167,x]
F[166,x] = F[163,x]+F[4,x]
F[167,x] = F[168,x]+F[171,x]
F[168,x] = F[169,x]
F[169,x] = F[170,x]*F[4,x]
F[170,x] = F[168,x]+F[4,x]
F[171,x] = F[172,x]
F[172,x] = F[173,x]*F[4,x]
F[173,x] = F[163,x]+F[171,x]
F[174,x] = F[4,x]*F[77,x]
F[175,x] = F[163,x]
F[176,x] = F[177,x]+F[184,x]
F[177,x] = F[178,x]+F[183,x]
F[178,x] = F[179,x]+F[48,x]
F[179,x] = F[180,x]+F[182,x]+F[85,x]
F[180,x] = F[181,x]*F[4,x]
F[181,x] = F[179,x]+F[4,x]
F[182,x] = F[4,x]*F[48,x]
F[183,x] = F[179,x]
F[184,x] = F[185,x]+F[204,x]
F[185,x] = F[186,x]+F[84,x]
F[186,x] = F[187,x]+F[189,x]+F[203,x]+F[85,x]
F[187,x] = F[188,x]*F[4,x]
F[188,x] = F[163,x]+F[186,x]
F[189,x] = F[190,x]*F[4,x]
F[190,x] = F[191,x]+F[192,x]
F[191,x] = F[179,x]+F[186,x]
F[192,x] = F[193,x]+F[198,x]
F[193,x] = 2*F[85,x]+F[194,x]+F[196,x]
F[194,x] = F[195,x]*F[4,x]
F[195,x] = F[168,x]+F[193,x]
F[196,x] = F[197,x]*F[4,x]
F[197,x] = F[179,x]+F[193,x]
F[198,x] = 3*F[85,x]+F[199,x]+F[201,x]
F[199,x] = F[200,x]*F[4,x]
F[200,x] = F[171,x]+F[198,x]
F[201,x] = F[202,x]*F[4,x]
F[202,x] = F[186,x]+F[198,x]
F[203,x] = F[4,x]*F[91,x]
F[204,x] = F[186,x]
F[205,x] = F[181,x]*F[206,x]
F[206,x] = F[207,x]+F[208,x]
F[207,x] = F[159,x]+F[162,x]
F[208,x] = F[178,x]+F[185,x]
F[209,x] = F[210,x]
F[210,x] = F[211,x]*F[24,x]*F[4,x]
F[211,x] = -F[262,x]+F[212,x]
F[212,x] = -F[215,x]+F[213,x]
F[213,x] = 1/F[4,x]*F[214,x]
F[214,x] = F[109,x]
F[215,x] = F[216,x]+F[62,x]
F[216,x] = F[217,x]+F[218,x]
F[217,x] = F[0,x]*F[2,x]
F[218,x] = F[219,x]
F[219,x] = F[220,x]*F[4,x]
F[220,x] = F[221,x]+F[222,x]
F[221,x] = F[122,x]*F[24,x]
F[222,x] = F[0,x]*F[223,x]
F[223,x] = -F[227,x]+F[224,x]
F[224,x] = 1/F[4,x]*F[225,x]
F[225,x] = F[226,x]
F[226,x] = -F[2,x]+F[122,x]
F[227,x] = F[228,x]+F[229,x]
F[228,x] = F[2,x]*F[33,x]
F[229,x] = F[230,x]
F[230,x] = F[231,x]*F[4,x]
F[231,x] = F[232,x]+F[237,x]
F[232,x] = F[233,x]
F[233,x] = F[19,x]*F[234,x]
F[234,x] = F[235,x]
F[235,x] = F[236,x]*F[4,x]*F[47,x]
F[236,x] = F[24,x]+F[36,x]
F[237,x] = F[19,x]*F[238,x]
F[238,x] = -F[261,x]+F[239,x]
F[239,x] = 1/F[79,x]*F[240,x]
F[240,x] = -F[259,x]+F[241,x]
F[241,x] = 1/F[4,x]*F[242,x]
F[242,x] = F[243,x]
F[243,x] = F[244,x]*F[4,x]*F[79,x]
F[244,x] = 1/F[4,x]*F[245,x]
F[245,x] = F[246,x]
F[246,x] = F[247,x]+F[253,x]
F[247,x] = F[2,x]+F[248,x]
F[248,x] = F[249,x]
F[249,x] = F[250,x]*F[4,x]
F[250,x] = F[251,x]+F[252,x]
F[251,x] = F[24,x]*F[48,x]
F[252,x] = F[36,x]*F[47,x]
F[253,x] = F[254,x]
F[254,x] = F[255,x]*F[4,x]*F[77,x]
F[255,x] = F[238,x]+F[256,x]
F[256,x] = F[0,x]+F[257,x]
F[257,x] = F[258,x]
F[258,x] = F[255,x]*F[4,x]
F[259,x] = F[260,x]
F[260,x] = F[79,x]^2*F[255,x]*F[4,x]
F[261,x] = F[116,x]+F[234,x]
F[262,x] = F[263,x]
F[263,x] = F[4,x]*F[67,x]
F[264,x] = F[116,x]*F[212,x]
F[265,x] = F[266,x]
F[266,x] = F[19,x]*F[256,x]*F[4,x]
F[267,x] = F[268,x]+F[269,x]
F[268,x] = F[2,x]*F[72,x]
F[269,x] = F[270,x]
F[270,x] = F[271,x]*F[4,x]
F[271,x] = F[272,x]+F[345,x]
F[272,x] = F[2,x]*F[273,x]
F[273,x] = 1/F[4,x]*F[274,x]
F[274,x] = F[275,x]
F[275,x] = F[2,x]+F[276,x]
F[276,x] = F[277,x]
F[277,x] = F[278,x]*F[4,x]
F[278,x] = 1/F[72,x]*F[279,x]
F[279,x] = -F[337,x]+F[280,x]
F[280,x] = 1/F[4,x]*F[281,x]
F[281,x] = F[282,x]
F[282,x] = -F[344,x]+F[283,x]
F[283,x] = -F[313,x]+F[284,x]
F[284,x] = 1/F[4,x]*F[285,x]
F[285,x] = F[286,x]
F[286,x] = -F[2,x]+F[287,x]
F[287,x] = -F[288,x]+F[5,x]
F[288,x] = F[1,x]+F[289,x]
F[289,x] = F[290,x]
F[290,x] = F[291,x]*F[4,x]
F[291,x] = F[292,x]+F[72,x]
F[292,x] = F[293,x]+F[300,x]
F[293,x] = F[294,x]
F[294,x] = F[295,x]*F[4,x]
F[295,x] = F[296,x]+F[79,x]
F[296,x] = F[297,x]+F[4,x]
F[297,x] = F[298,x]+F[299,x]+F[85,x]
F[298,x] = F[4,x]*F[77,x]
F[299,x] = F[296,x]*F[4,x]
F[300,x] = F[301,x]+F[306,x]+F[85,x]
F[301,x] = F[302,x]*F[4,x]
F[302,x] = F[303,x]+F[82,x]
F[303,x] = F[304,x]+F[310,x]
F[304,x] = F[305,x]+F[306,x]+F[85,x]
F[305,x] = F[4,x]*F[73,x]
F[306,x] = F[307,x]*F[4,x]
F[307,x] = F[308,x]+F[309,x]
F[308,x] = F[304,x]+F[4,x]
F[309,x] = F[297,x]+F[310,x]
F[310,x] = 2*F[85,x]+F[311,x]+F[312,x]
F[311,x] = F[4,x]*F[80,x]
F[312,x] = F[303,x]*F[4,x]
F[313,x] = -F[314,x]+F[8,x]
F[314,x] = F[10,x]+F[315,x]
F[315,x] = F[316,x]+F[331,x]
F[316,x] = F[317,x]+F[73,x]
F[317,x] = F[318,x]+F[323,x]+F[85,x]
F[318,x] = F[319,x]*F[4,x]
F[319,x] = F[320,x]+F[321,x]
F[320,x] = F[317,x]+F[73,x]
F[321,x] = F[322,x]+F[326,x]
F[322,x] = F[305,x]+F[323,x]+F[85,x]
F[323,x] = F[324,x]*F[4,x]
F[324,x] = F[325,x]
F[325,x] = F[322,x]+F[4,x]
F[326,x] = F[327,x]+F[328,x]+F[330,x]+F[85,x]
F[327,x] = F[317,x]*F[4,x]
F[328,x] = F[329,x]*F[4,x]
F[329,x] = F[321,x]
F[330,x] = 0
F[331,x] = F[332,x]+F[333,x]
F[332,x] = F[2,x]*F[73,x]
F[333,x] = F[334,x]
F[334,x] = F[335,x]*F[4,x]
F[335,x] = F[336,x]+F[337,x]
F[336,x] = F[278,x]*F[73,x]
F[337,x] = F[338,x]+F[340,x]
F[338,x] = F[339,x]
F[339,x] = F[331,x]
F[340,x] = F[341,x]
F[341,x] = F[342,x]*F[4,x]*F[72,x]*F[79,x]
F[342,x] = -F[343,x]+F[278,x]
F[343,x] = 1/F[4,x]/F[72,x]/F[79,x]*F[339,x]
F[344,x] = F[2,x]*F[72,x]
F[345,x] = F[257,x]*F[346,x]
F[346,x] = 1/F[4,x]/F[47,x]*F[347,x]
F[347,x] = F[348,x]
F[348,x] = -F[365,x]+F[349,x]
F[349,x] = F[350,x]
F[350,x] = F[351,x]*F[4,x]*F[47,x]
F[351,x] = 1/F[4,x]/F[47,x]*F[352,x]
F[352,x] = F[353,x]
F[353,x] = F[354,x]
F[354,x] = F[355,x]*F[4,x]
F[355,x] = F[356,x]+F[360,x]
F[356,x] = F[357,x]*F[47,x]
F[357,x] = F[353,x]+F[358,x]
F[358,x] = F[342,x]+F[359,x]
F[359,x] = F[343,x]+F[75,x]
F[360,x] = 1/F[4,x]*F[361,x]
F[361,x] = F[362,x]
F[362,x] = F[363,x]*F[4,x]
F[363,x] = F[364,x]
F[364,x] = F[47,x]^2*F[351,x]*F[4,x]
F[365,x] = F[366,x]
F[366,x] = F[367,x]*F[4,x]*F[47,x]
F[367,x] = F[368,x]+F[369,x]
F[368,x] = -F[9,x]+F[358,x]
F[369,x] = -F[357,x]+F[351,x]
F[370,x] = F[371,x]
F[371,x] = F[372,x]*F[4,x]
F[372,x] = F[373,x]+F[376,x]
F[373,x] = F[16,x]+F[374,x]
F[374,x] = F[375,x]
F[375,x] = F[47,x]^2*F[351,x]*F[4,x]
F[376,x] = F[377,x]+F[379,x]
F[377,x] = F[378,x]
F[378,x] = F[16,x]*F[4,x]*F[47,x]
F[379,x] = F[380,x]
F[380,x] = F[381,x]*F[4,x]*F[47,x]
F[381,x] = F[360,x]+F[382,x]
F[382,x] = F[383,x]
F[383,x] = F[181,x]*F[351,x]
System of equations in latex syntax:
F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)
F_{1}\! \left(x \right) = 1
F_{2}\! \left(x \right) = F_{3}\! \left(x \right)
F_{3}\! \left(x \right) = F_{4}\! \left(x \right) F_{5}\! \left(x \right)
F_{4}\! \left(x \right) = x
F_{5}\! \left(x \right) = F_{0}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{4}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{370}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{267}\! \left(x \right)
F_{10}\! \left(x \right) = F_{0}\! \left(x \right)+F_{11}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right) F_{4}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)+F_{9}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right) F_{4}\! \left(x \right)
F_{16}\! \left(x \right) = \frac{F_{17}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = -F_{19}\! \left(x \right)+F_{9}\! \left(x \right)
F_{19}\! \left(x \right) = F_{0}\! \left(x \right)+F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right) F_{4}\! \left(x \right)
F_{22}\! \left(x \right) = F_{23}\! \left(x \right)+F_{265}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)+F_{26}\! \left(x \right)
F_{24}\! \left(x \right) = \frac{F_{25}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{25}\! \left(x \right) = F_{2}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)+F_{28}\! \left(x \right)
F_{27}\! \left(x \right) = F_{0}\! \left(x \right) F_{2}\! \left(x \right)
F_{28}\! \left(x \right) = F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right) F_{4}\! \left(x \right)
F_{30}\! \left(x \right) = F_{31}\! \left(x \right)+F_{35}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right) F_{33}\! \left(x \right)
F_{32}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{24}\! \left(x \right)
F_{33}\! \left(x \right) = \frac{F_{34}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{34}\! \left(x \right) = F_{2}\! \left(x \right)
F_{35}\! \left(x \right) = F_{19}\! \left(x \right) F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x \right) F_{4}\! \left(x \right)
F_{38}\! \left(x \right) = \frac{F_{39}\! \left(x \right)}{F_{0}\! \left(x \right) F_{4}\! \left(x \right)}
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{4}\! \left(x \right) F_{41}\! \left(x \right) F_{47}\! \left(x \right)
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)+F_{55}\! \left(x \right)
F_{42}\! \left(x \right) = \frac{F_{43}\! \left(x \right)}{F_{4}\! \left(x \right) F_{47}\! \left(x \right)}
F_{43}\! \left(x \right) = F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)+F_{50}\! \left(x \right)
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{0} \left(x \right)^{2} F_{4}\! \left(x \right) F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{1}\! \left(x \right)+F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{4}\! \left(x \right) F_{47}\! \left(x \right)
F_{50}\! \left(x \right) = F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{4}\! \left(x \right) F_{47}\! \left(x \right) F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{44}\! \left(x \right)+F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{4}\! \left(x \right) F_{41}\! \left(x \right) F_{47}\! \left(x \right)
F_{55}\! \left(x \right) = F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{4}\! \left(x \right) F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = \frac{F_{58}\! \left(x \right)}{F_{4}\! \left(x \right) F_{71}\! \left(x \right)}
F_{58}\! \left(x \right) = F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = -F_{264}\! \left(x \right)+F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = \frac{F_{61}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{209}\! \left(x \right)+F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{4}\! \left(x \right) F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{124}\! \left(x \right)+F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{2}\! \left(x \right) F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{102}\! \left(x \right)+F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{19}\! \left(x \right)+F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{0}\! \left(x \right) F_{101}\! \left(x \right) F_{4}\! \left(x \right) F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{72}\! \left(x \right)+F_{83}\! \left(x \right)
F_{72}\! \left(x \right) = F_{1}\! \left(x \right)+F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{4}\! \left(x \right) F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{72}\! \left(x \right)+F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{77}\! \left(x \right)+F_{80}\! \left(x \right)
F_{77}\! \left(x \right) = F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{4}\! \left(x \right) F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{1}\! \left(x \right)+F_{77}\! \left(x \right)
F_{80}\! \left(x \right) = F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{4}\! \left(x \right) F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{73}\! \left(x \right)+F_{80}\! \left(x \right)
F_{83}\! \left(x \right) = F_{48}\! \left(x \right)+F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{85}\! \left(x \right)+F_{86}\! \left(x \right)+F_{88}\! \left(x \right)
F_{85}\! \left(x \right) = 0
F_{86}\! \left(x \right) = F_{4}\! \left(x \right) F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{73}\! \left(x \right)+F_{84}\! \left(x \right)
F_{88}\! \left(x \right) = F_{4}\! \left(x \right) F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{83}\! \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_{85}\! \left(x \right)+F_{92}\! \left(x \right)+F_{94}\! \left(x \right)
F_{92}\! \left(x \right) = F_{4}\! \left(x \right) F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{77}\! \left(x \right)+F_{91}\! \left(x \right)
F_{94}\! \left(x \right) = F_{4}\! \left(x \right) F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{48}\! \left(x \right)+F_{91}\! \left(x \right)
F_{96}\! \left(x \right) = 2 F_{85}\! \left(x \right)+F_{97}\! \left(x \right)+F_{99}\! \left(x \right)
F_{97}\! \left(x \right) = F_{4}\! \left(x \right) F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{80}\! \left(x \right)+F_{96}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right) F_{4}\! \left(x \right)
F_{100}\! \left(x \right) = F_{84}\! \left(x \right)+F_{96}\! \left(x \right)
F_{101}\! \left(x \right) = F_{79}\! \left(x \right)+F_{95}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)
F_{103}\! \left(x \right) = -F_{119}\! \left(x \right)+F_{104}\! \left(x \right)
F_{104}\! \left(x \right) = \frac{F_{105}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{105}\! \left(x \right) = F_{106}\! \left(x \right)
F_{106}\! \left(x \right) = -F_{110}\! \left(x \right)+F_{107}\! \left(x \right)
F_{107}\! \left(x \right) = \frac{F_{108}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)
F_{109}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{32}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right)+F_{112}\! \left(x \right)
F_{111}\! \left(x \right) = F_{2}\! \left(x \right) F_{5}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right) F_{4}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right)+F_{118}\! \left(x \right)
F_{115}\! \left(x \right) = F_{106}\! \left(x \right) F_{116}\! \left(x \right)
F_{116}\! \left(x \right) = \frac{F_{117}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{117}\! \left(x \right) = F_{2}\! \left(x \right)
F_{118}\! \left(x \right) = F_{59}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)+F_{123}\! \left(x \right)
F_{120}\! \left(x \right) = \frac{F_{121}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{121}\! \left(x \right) = F_{122}\! \left(x \right)
F_{122}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{33}\! \left(x \right)
F_{123}\! \left(x \right) = F_{69}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)
F_{125}\! \left(x \right) = F_{0}\! \left(x \right) F_{126}\! \left(x \right)
F_{126}\! \left(x \right) = -F_{151}\! \left(x \right)+F_{127}\! \left(x \right)
F_{127}\! \left(x \right) = \frac{F_{128}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{128}\! \left(x \right) = F_{129}\! \left(x \right)
F_{129}\! \left(x \right) = -F_{143}\! \left(x \right)+F_{130}\! \left(x \right)
F_{130}\! \left(x \right) = -F_{133}\! \left(x \right)+F_{131}\! \left(x \right)
F_{131}\! \left(x \right) = \frac{F_{132}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{132}\! \left(x \right) = F_{109}\! \left(x \right)
F_{133}\! \left(x \right) = F_{134}\! \left(x \right)+F_{148}\! \left(x \right)
F_{134}\! \left(x \right) = -F_{142}\! \left(x \right)+F_{135}\! \left(x \right)
F_{135}\! \left(x \right) = F_{136}\! \left(x \right)+F_{137}\! \left(x \right)
F_{136}\! \left(x \right) = F_{0} \left(x \right)^{2}
F_{137}\! \left(x \right) = F_{138}\! \left(x \right)
F_{138}\! \left(x \right) = F_{0}\! \left(x \right) F_{139}\! \left(x \right) F_{4}\! \left(x \right)
F_{139}\! \left(x \right) = F_{120}\! \left(x \right)+F_{140}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right)
F_{141}\! \left(x \right) = F_{19}\! \left(x \right) F_{4}\! \left(x \right) F_{47}\! \left(x \right)
F_{142}\! \left(x \right) = F_{0}\! \left(x \right)+F_{143}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right)
F_{144}\! \left(x \right) = F_{0}\! \left(x \right) F_{145}\! \left(x \right) F_{4}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right)+F_{33}\! \left(x \right)
F_{146}\! \left(x \right) = F_{147}\! \left(x \right)
F_{147}\! \left(x \right) = F_{0}\! \left(x \right) F_{4}\! \left(x \right) F_{47}\! \left(x \right)
F_{148}\! \left(x \right) = F_{149}\! \left(x \right)
F_{149}\! \left(x \right) = F_{150}\! \left(x \right) F_{33}\! \left(x \right) F_{4}\! \left(x \right)
F_{150}\! \left(x \right) = F_{129}\! \left(x \right)+F_{32}\! \left(x \right)
F_{151}\! \left(x \right) = F_{0}\! \left(x \right) F_{152}\! \left(x \right)
F_{152}\! \left(x \right) = F_{153}\! \left(x \right)
F_{153}\! \left(x \right) = F_{154}\! \left(x \right) F_{4}\! \left(x \right)
F_{154}\! \left(x \right) = F_{155}\! \left(x \right)+F_{205}\! \left(x \right)
F_{155}\! \left(x \right) = F_{156}\! \left(x \right) F_{47}\! \left(x \right)
F_{156}\! \left(x \right) = F_{157}\! \left(x \right)+F_{176}\! \left(x \right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right)+F_{161}\! \left(x \right)
F_{158}\! \left(x \right) = F_{159}\! \left(x \right)+F_{160}\! \left(x \right)
F_{159}\! \left(x \right) = F_{1}\! \left(x \right)+F_{4}\! \left(x \right)
F_{160}\! \left(x \right) = F_{4}\! \left(x \right)
F_{161}\! \left(x \right) = F_{162}\! \left(x \right)+F_{175}\! \left(x \right)
F_{162}\! \left(x \right) = F_{163}\! \left(x \right)+F_{73}\! \left(x \right)
F_{163}\! \left(x \right) = F_{164}\! \left(x \right)+F_{174}\! \left(x \right)+F_{85}\! \left(x \right)
F_{164}\! \left(x \right) = F_{165}\! \left(x \right) F_{4}\! \left(x \right)
F_{165}\! \left(x \right) = F_{166}\! \left(x \right)+F_{167}\! \left(x \right)
F_{166}\! \left(x \right) = F_{163}\! \left(x \right)+F_{4}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right)+F_{171}\! \left(x \right)
F_{168}\! \left(x \right) = F_{169}\! \left(x \right)
F_{169}\! \left(x \right) = F_{170}\! \left(x \right) F_{4}\! \left(x \right)
F_{170}\! \left(x \right) = F_{168}\! \left(x \right)+F_{4}\! \left(x \right)
F_{171}\! \left(x \right) = F_{172}\! \left(x \right)
F_{172}\! \left(x \right) = F_{173}\! \left(x \right) F_{4}\! \left(x \right)
F_{173}\! \left(x \right) = F_{163}\! \left(x \right)+F_{171}\! \left(x \right)
F_{174}\! \left(x \right) = F_{4}\! \left(x \right) F_{77}\! \left(x \right)
F_{175}\! \left(x \right) = F_{163}\! \left(x \right)
F_{176}\! \left(x \right) = F_{177}\! \left(x \right)+F_{184}\! \left(x \right)
F_{177}\! \left(x \right) = F_{178}\! \left(x \right)+F_{183}\! \left(x \right)
F_{178}\! \left(x \right) = F_{179}\! \left(x \right)+F_{48}\! \left(x \right)
F_{179}\! \left(x \right) = F_{180}\! \left(x \right)+F_{182}\! \left(x \right)+F_{85}\! \left(x \right)
F_{180}\! \left(x \right) = F_{181}\! \left(x \right) F_{4}\! \left(x \right)
F_{181}\! \left(x \right) = F_{179}\! \left(x \right)+F_{4}\! \left(x \right)
F_{182}\! \left(x \right) = F_{4}\! \left(x \right) F_{48}\! \left(x \right)
F_{183}\! \left(x \right) = F_{179}\! \left(x \right)
F_{184}\! \left(x \right) = F_{185}\! \left(x \right)+F_{204}\! \left(x \right)
F_{185}\! \left(x \right) = F_{186}\! \left(x \right)+F_{84}\! \left(x \right)
F_{186}\! \left(x \right) = F_{187}\! \left(x \right)+F_{189}\! \left(x \right)+F_{203}\! \left(x \right)+F_{85}\! \left(x \right)
F_{187}\! \left(x \right) = F_{188}\! \left(x \right) F_{4}\! \left(x \right)
F_{188}\! \left(x \right) = F_{163}\! \left(x \right)+F_{186}\! \left(x \right)
F_{189}\! \left(x \right) = F_{190}\! \left(x \right) F_{4}\! \left(x \right)
F_{190}\! \left(x \right) = F_{191}\! \left(x \right)+F_{192}\! \left(x \right)
F_{191}\! \left(x \right) = F_{179}\! \left(x \right)+F_{186}\! \left(x \right)
F_{192}\! \left(x \right) = F_{193}\! \left(x \right)+F_{198}\! \left(x \right)
F_{193}\! \left(x \right) = 2 F_{85}\! \left(x \right)+F_{194}\! \left(x \right)+F_{196}\! \left(x \right)
F_{194}\! \left(x \right) = F_{195}\! \left(x \right) F_{4}\! \left(x \right)
F_{195}\! \left(x \right) = F_{168}\! \left(x \right)+F_{193}\! \left(x \right)
F_{196}\! \left(x \right) = F_{197}\! \left(x \right) F_{4}\! \left(x \right)
F_{197}\! \left(x \right) = F_{179}\! \left(x \right)+F_{193}\! \left(x \right)
F_{198}\! \left(x \right) = 3 F_{85}\! \left(x \right)+F_{199}\! \left(x \right)+F_{201}\! \left(x \right)
F_{199}\! \left(x \right) = F_{200}\! \left(x \right) F_{4}\! \left(x \right)
F_{200}\! \left(x \right) = F_{171}\! \left(x \right)+F_{198}\! \left(x \right)
F_{201}\! \left(x \right) = F_{202}\! \left(x \right) F_{4}\! \left(x \right)
F_{202}\! \left(x \right) = F_{186}\! \left(x \right)+F_{198}\! \left(x \right)
F_{203}\! \left(x \right) = F_{4}\! \left(x \right) F_{91}\! \left(x \right)
F_{204}\! \left(x \right) = F_{186}\! \left(x \right)
F_{205}\! \left(x \right) = F_{181}\! \left(x \right) F_{206}\! \left(x \right)
F_{206}\! \left(x \right) = F_{207}\! \left(x \right)+F_{208}\! \left(x \right)
F_{207}\! \left(x \right) = F_{159}\! \left(x \right)+F_{162}\! \left(x \right)
F_{208}\! \left(x \right) = F_{178}\! \left(x \right)+F_{185}\! \left(x \right)
F_{209}\! \left(x \right) = F_{210}\! \left(x \right)
F_{210}\! \left(x \right) = F_{211}\! \left(x \right) F_{24}\! \left(x \right) F_{4}\! \left(x \right)
F_{211}\! \left(x \right) = -F_{262}\! \left(x \right)+F_{212}\! \left(x \right)
F_{212}\! \left(x \right) = -F_{215}\! \left(x \right)+F_{213}\! \left(x \right)
F_{213}\! \left(x \right) = \frac{F_{214}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{214}\! \left(x \right) = F_{109}\! \left(x \right)
F_{215}\! \left(x \right) = F_{216}\! \left(x \right)+F_{62}\! \left(x \right)
F_{216}\! \left(x \right) = F_{217}\! \left(x \right)+F_{218}\! \left(x \right)
F_{217}\! \left(x \right) = F_{0}\! \left(x \right) F_{2}\! \left(x \right)
F_{218}\! \left(x \right) = F_{219}\! \left(x \right)
F_{219}\! \left(x \right) = F_{220}\! \left(x \right) F_{4}\! \left(x \right)
F_{220}\! \left(x \right) = F_{221}\! \left(x \right)+F_{222}\! \left(x \right)
F_{221}\! \left(x \right) = F_{122}\! \left(x \right) F_{24}\! \left(x \right)
F_{222}\! \left(x \right) = F_{0}\! \left(x \right) F_{223}\! \left(x \right)
F_{223}\! \left(x \right) = -F_{227}\! \left(x \right)+F_{224}\! \left(x \right)
F_{224}\! \left(x \right) = \frac{F_{225}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{225}\! \left(x \right) = F_{226}\! \left(x \right)
F_{226}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{122}\! \left(x \right)
F_{227}\! \left(x \right) = F_{228}\! \left(x \right)+F_{229}\! \left(x \right)
F_{228}\! \left(x \right) = F_{2}\! \left(x \right) F_{33}\! \left(x \right)
F_{229}\! \left(x \right) = F_{230}\! \left(x \right)
F_{230}\! \left(x \right) = F_{231}\! \left(x \right) F_{4}\! \left(x \right)
F_{231}\! \left(x \right) = F_{232}\! \left(x \right)+F_{237}\! \left(x \right)
F_{232}\! \left(x \right) = F_{233}\! \left(x \right)
F_{233}\! \left(x \right) = F_{19}\! \left(x \right) F_{234}\! \left(x \right)
F_{234}\! \left(x \right) = F_{235}\! \left(x \right)
F_{235}\! \left(x \right) = F_{236}\! \left(x \right) F_{4}\! \left(x \right) F_{47}\! \left(x \right)
F_{236}\! \left(x \right) = F_{24}\! \left(x \right)+F_{36}\! \left(x \right)
F_{237}\! \left(x \right) = F_{19}\! \left(x \right) F_{238}\! \left(x \right)
F_{238}\! \left(x \right) = -F_{261}\! \left(x \right)+F_{239}\! \left(x \right)
F_{239}\! \left(x \right) = \frac{F_{240}\! \left(x \right)}{F_{79}\! \left(x \right)}
F_{240}\! \left(x \right) = -F_{259}\! \left(x \right)+F_{241}\! \left(x \right)
F_{241}\! \left(x \right) = \frac{F_{242}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{242}\! \left(x \right) = F_{243}\! \left(x \right)
F_{243}\! \left(x \right) = F_{244}\! \left(x \right) F_{4}\! \left(x \right) F_{79}\! \left(x \right)
F_{244}\! \left(x \right) = \frac{F_{245}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{245}\! \left(x \right) = F_{246}\! \left(x \right)
F_{246}\! \left(x \right) = F_{247}\! \left(x \right)+F_{253}\! \left(x \right)
F_{247}\! \left(x \right) = F_{2}\! \left(x \right)+F_{248}\! \left(x \right)
F_{248}\! \left(x \right) = F_{249}\! \left(x \right)
F_{249}\! \left(x \right) = F_{250}\! \left(x \right) F_{4}\! \left(x \right)
F_{250}\! \left(x \right) = F_{251}\! \left(x \right)+F_{252}\! \left(x \right)
F_{251}\! \left(x \right) = F_{24}\! \left(x \right) F_{48}\! \left(x \right)
F_{252}\! \left(x \right) = F_{36}\! \left(x \right) F_{47}\! \left(x \right)
F_{253}\! \left(x \right) = F_{254}\! \left(x \right)
F_{254}\! \left(x \right) = F_{255}\! \left(x \right) F_{4}\! \left(x \right) F_{77}\! \left(x \right)
F_{255}\! \left(x \right) = F_{238}\! \left(x \right)+F_{256}\! \left(x \right)
F_{256}\! \left(x \right) = F_{0}\! \left(x \right)+F_{257}\! \left(x \right)
F_{257}\! \left(x \right) = F_{258}\! \left(x \right)
F_{258}\! \left(x \right) = F_{255}\! \left(x \right) F_{4}\! \left(x \right)
F_{259}\! \left(x \right) = F_{260}\! \left(x \right)
F_{260}\! \left(x \right) = F_{79} \left(x \right)^{2} F_{255}\! \left(x \right) F_{4}\! \left(x \right)
F_{261}\! \left(x \right) = F_{116}\! \left(x \right)+F_{234}\! \left(x \right)
F_{262}\! \left(x \right) = F_{263}\! \left(x \right)
F_{263}\! \left(x \right) = F_{4}\! \left(x \right) F_{67}\! \left(x \right)
F_{264}\! \left(x \right) = F_{116}\! \left(x \right) F_{212}\! \left(x \right)
F_{265}\! \left(x \right) = F_{266}\! \left(x \right)
F_{266}\! \left(x \right) = F_{19}\! \left(x \right) F_{256}\! \left(x \right) F_{4}\! \left(x \right)
F_{267}\! \left(x \right) = F_{268}\! \left(x \right)+F_{269}\! \left(x \right)
F_{268}\! \left(x \right) = F_{2}\! \left(x \right) F_{72}\! \left(x \right)
F_{269}\! \left(x \right) = F_{270}\! \left(x \right)
F_{270}\! \left(x \right) = F_{271}\! \left(x \right) F_{4}\! \left(x \right)
F_{271}\! \left(x \right) = F_{272}\! \left(x \right)+F_{345}\! \left(x \right)
F_{272}\! \left(x \right) = F_{2}\! \left(x \right) F_{273}\! \left(x \right)
F_{273}\! \left(x \right) = \frac{F_{274}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{274}\! \left(x \right) = F_{275}\! \left(x \right)
F_{275}\! \left(x \right) = F_{2}\! \left(x \right)+F_{276}\! \left(x \right)
F_{276}\! \left(x \right) = F_{277}\! \left(x \right)
F_{277}\! \left(x \right) = F_{278}\! \left(x \right) F_{4}\! \left(x \right)
F_{278}\! \left(x \right) = \frac{F_{279}\! \left(x \right)}{F_{72}\! \left(x \right)}
F_{279}\! \left(x \right) = -F_{337}\! \left(x \right)+F_{280}\! \left(x \right)
F_{280}\! \left(x \right) = \frac{F_{281}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{281}\! \left(x \right) = F_{282}\! \left(x \right)
F_{282}\! \left(x \right) = -F_{344}\! \left(x \right)+F_{283}\! \left(x \right)
F_{283}\! \left(x \right) = -F_{313}\! \left(x \right)+F_{284}\! \left(x \right)
F_{284}\! \left(x \right) = \frac{F_{285}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{285}\! \left(x \right) = F_{286}\! \left(x \right)
F_{286}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{287}\! \left(x \right)
F_{287}\! \left(x \right) = -F_{288}\! \left(x \right)+F_{5}\! \left(x \right)
F_{288}\! \left(x \right) = F_{1}\! \left(x \right)+F_{289}\! \left(x \right)
F_{289}\! \left(x \right) = F_{290}\! \left(x \right)
F_{290}\! \left(x \right) = F_{291}\! \left(x \right) F_{4}\! \left(x \right)
F_{291}\! \left(x \right) = F_{292}\! \left(x \right)+F_{72}\! \left(x \right)
F_{292}\! \left(x \right) = F_{293}\! \left(x \right)+F_{300}\! \left(x \right)
F_{293}\! \left(x \right) = F_{294}\! \left(x \right)
F_{294}\! \left(x \right) = F_{295}\! \left(x \right) F_{4}\! \left(x \right)
F_{295}\! \left(x \right) = F_{296}\! \left(x \right)+F_{79}\! \left(x \right)
F_{296}\! \left(x \right) = F_{297}\! \left(x \right)+F_{4}\! \left(x \right)
F_{297}\! \left(x \right) = F_{298}\! \left(x \right)+F_{299}\! \left(x \right)+F_{85}\! \left(x \right)
F_{298}\! \left(x \right) = F_{4}\! \left(x \right) F_{77}\! \left(x \right)
F_{299}\! \left(x \right) = F_{296}\! \left(x \right) F_{4}\! \left(x \right)
F_{300}\! \left(x \right) = F_{301}\! \left(x \right)+F_{306}\! \left(x \right)+F_{85}\! \left(x \right)
F_{301}\! \left(x \right) = F_{302}\! \left(x \right) F_{4}\! \left(x \right)
F_{302}\! \left(x \right) = F_{303}\! \left(x \right)+F_{82}\! \left(x \right)
F_{303}\! \left(x \right) = F_{304}\! \left(x \right)+F_{310}\! \left(x \right)
F_{304}\! \left(x \right) = F_{305}\! \left(x \right)+F_{306}\! \left(x \right)+F_{85}\! \left(x \right)
F_{305}\! \left(x \right) = F_{4}\! \left(x \right) F_{73}\! \left(x \right)
F_{306}\! \left(x \right) = F_{307}\! \left(x \right) F_{4}\! \left(x \right)
F_{307}\! \left(x \right) = F_{308}\! \left(x \right)+F_{309}\! \left(x \right)
F_{308}\! \left(x \right) = F_{304}\! \left(x \right)+F_{4}\! \left(x \right)
F_{309}\! \left(x \right) = F_{297}\! \left(x \right)+F_{310}\! \left(x \right)
F_{310}\! \left(x \right) = 2 F_{85}\! \left(x \right)+F_{311}\! \left(x \right)+F_{312}\! \left(x \right)
F_{311}\! \left(x \right) = F_{4}\! \left(x \right) F_{80}\! \left(x \right)
F_{312}\! \left(x \right) = F_{303}\! \left(x \right) F_{4}\! \left(x \right)
F_{313}\! \left(x \right) = -F_{314}\! \left(x \right)+F_{8}\! \left(x \right)
F_{314}\! \left(x \right) = F_{10}\! \left(x \right)+F_{315}\! \left(x \right)
F_{315}\! \left(x \right) = F_{316}\! \left(x \right)+F_{331}\! \left(x \right)
F_{316}\! \left(x \right) = F_{317}\! \left(x \right)+F_{73}\! \left(x \right)
F_{317}\! \left(x \right) = F_{318}\! \left(x \right)+F_{323}\! \left(x \right)+F_{85}\! \left(x \right)
F_{318}\! \left(x \right) = F_{319}\! \left(x \right) F_{4}\! \left(x \right)
F_{319}\! \left(x \right) = F_{320}\! \left(x \right)+F_{321}\! \left(x \right)
F_{320}\! \left(x \right) = F_{317}\! \left(x \right)+F_{73}\! \left(x \right)
F_{321}\! \left(x \right) = F_{322}\! \left(x \right)+F_{326}\! \left(x \right)
F_{322}\! \left(x \right) = F_{305}\! \left(x \right)+F_{323}\! \left(x \right)+F_{85}\! \left(x \right)
F_{323}\! \left(x \right) = F_{324}\! \left(x \right) F_{4}\! \left(x \right)
F_{324}\! \left(x \right) = F_{325}\! \left(x \right)
F_{325}\! \left(x \right) = F_{322}\! \left(x \right)+F_{4}\! \left(x \right)
F_{326}\! \left(x \right) = F_{327}\! \left(x \right)+F_{328}\! \left(x \right)+F_{330}\! \left(x \right)+F_{85}\! \left(x \right)
F_{327}\! \left(x \right) = F_{317}\! \left(x \right) F_{4}\! \left(x \right)
F_{328}\! \left(x \right) = F_{329}\! \left(x \right) F_{4}\! \left(x \right)
F_{329}\! \left(x \right) = F_{321}\! \left(x \right)
F_{330}\! \left(x \right) = 0
F_{331}\! \left(x \right) = F_{332}\! \left(x \right)+F_{333}\! \left(x \right)
F_{332}\! \left(x \right) = F_{2}\! \left(x \right) F_{73}\! \left(x \right)
F_{333}\! \left(x \right) = F_{334}\! \left(x \right)
F_{334}\! \left(x \right) = F_{335}\! \left(x \right) F_{4}\! \left(x \right)
F_{335}\! \left(x \right) = F_{336}\! \left(x \right)+F_{337}\! \left(x \right)
F_{336}\! \left(x \right) = F_{278}\! \left(x \right) F_{73}\! \left(x \right)
F_{337}\! \left(x \right) = F_{338}\! \left(x \right)+F_{340}\! \left(x \right)
F_{338}\! \left(x \right) = F_{339}\! \left(x \right)
F_{339}\! \left(x \right) = F_{331}\! \left(x \right)
F_{340}\! \left(x \right) = F_{341}\! \left(x \right)
F_{341}\! \left(x \right) = F_{342}\! \left(x \right) F_{4}\! \left(x \right) F_{72}\! \left(x \right) F_{79}\! \left(x \right)
F_{342}\! \left(x \right) = -F_{343}\! \left(x \right)+F_{278}\! \left(x \right)
F_{343}\! \left(x \right) = \frac{F_{339}\! \left(x \right)}{F_{4}\! \left(x \right) F_{72}\! \left(x \right) F_{79}\! \left(x \right)}
F_{344}\! \left(x \right) = F_{2}\! \left(x \right) F_{72}\! \left(x \right)
F_{345}\! \left(x \right) = F_{257}\! \left(x \right) F_{346}\! \left(x \right)
F_{346}\! \left(x \right) = \frac{F_{347}\! \left(x \right)}{F_{4}\! \left(x \right) F_{47}\! \left(x \right)}
F_{347}\! \left(x \right) = F_{348}\! \left(x \right)
F_{348}\! \left(x \right) = -F_{365}\! \left(x \right)+F_{349}\! \left(x \right)
F_{349}\! \left(x \right) = F_{350}\! \left(x \right)
F_{350}\! \left(x \right) = F_{351}\! \left(x \right) F_{4}\! \left(x \right) F_{47}\! \left(x \right)
F_{351}\! \left(x \right) = \frac{F_{352}\! \left(x \right)}{F_{4}\! \left(x \right) F_{47}\! \left(x \right)}
F_{352}\! \left(x \right) = F_{353}\! \left(x \right)
F_{353}\! \left(x \right) = F_{354}\! \left(x \right)
F_{354}\! \left(x \right) = F_{355}\! \left(x \right) F_{4}\! \left(x \right)
F_{355}\! \left(x \right) = F_{356}\! \left(x \right)+F_{360}\! \left(x \right)
F_{356}\! \left(x \right) = F_{357}\! \left(x \right) F_{47}\! \left(x \right)
F_{357}\! \left(x \right) = F_{353}\! \left(x \right)+F_{358}\! \left(x \right)
F_{358}\! \left(x \right) = F_{342}\! \left(x \right)+F_{359}\! \left(x \right)
F_{359}\! \left(x \right) = F_{343}\! \left(x \right)+F_{75}\! \left(x \right)
F_{360}\! \left(x \right) = \frac{F_{361}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{361}\! \left(x \right) = F_{362}\! \left(x \right)
F_{362}\! \left(x \right) = F_{363}\! \left(x \right) F_{4}\! \left(x \right)
F_{363}\! \left(x \right) = F_{364}\! \left(x \right)
F_{364}\! \left(x \right) = F_{47} \left(x \right)^{2} F_{351}\! \left(x \right) F_{4}\! \left(x \right)
F_{365}\! \left(x \right) = F_{366}\! \left(x \right)
F_{366}\! \left(x \right) = F_{367}\! \left(x \right) F_{4}\! \left(x \right) F_{47}\! \left(x \right)
F_{367}\! \left(x \right) = F_{368}\! \left(x \right)+F_{369}\! \left(x \right)
F_{368}\! \left(x \right) = -F_{9}\! \left(x \right)+F_{358}\! \left(x \right)
F_{369}\! \left(x \right) = -F_{357}\! \left(x \right)+F_{351}\! \left(x \right)
F_{370}\! \left(x \right) = F_{371}\! \left(x \right)
F_{371}\! \left(x \right) = F_{372}\! \left(x \right) F_{4}\! \left(x \right)
F_{372}\! \left(x \right) = F_{373}\! \left(x \right)+F_{376}\! \left(x \right)
F_{373}\! \left(x \right) = F_{16}\! \left(x \right)+F_{374}\! \left(x \right)
F_{374}\! \left(x \right) = F_{375}\! \left(x \right)
F_{375}\! \left(x \right) = F_{47} \left(x \right)^{2} F_{351}\! \left(x \right) F_{4}\! \left(x \right)
F_{376}\! \left(x \right) = F_{377}\! \left(x \right)+F_{379}\! \left(x \right)
F_{377}\! \left(x \right) = F_{378}\! \left(x \right)
F_{378}\! \left(x \right) = F_{16}\! \left(x \right) F_{4}\! \left(x \right) F_{47}\! \left(x \right)
F_{379}\! \left(x \right) = F_{380}\! \left(x \right)
F_{380}\! \left(x \right) = F_{381}\! \left(x \right) F_{4}\! \left(x \right) F_{47}\! \left(x \right)
F_{381}\! \left(x \right) = F_{360}\! \left(x \right)+F_{382}\! \left(x \right)
F_{382}\! \left(x \right) = F_{383}\! \left(x \right)
F_{383}\! \left(x \right) = F_{181}\! \left(x \right) F_{351}\! \left(x \right)
System of equations in sympy syntax:
Eq(F_0(x), F_1(x) + F_2(x))
Eq(F_1(x), 1)
Eq(F_2(x), F_3(x))
Eq(F_3(x), F_4(x)*F_5(x))
Eq(F_4(x), x)
Eq(F_5(x), F_0(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_4(x)*F_8(x))
Eq(F_8(x), F_370(x) + F_9(x))
Eq(F_9(x), F_10(x) + F_267(x))
Eq(F_10(x), F_0(x) + F_11(x))
Eq(F_11(x), F_12(x))
Eq(F_12(x), F_13(x)*F_4(x))
Eq(F_13(x), F_14(x) + F_9(x))
Eq(F_14(x), F_15(x))
Eq(F_15(x), F_16(x)*F_4(x))
Eq(F_16(x), F_17(x)/F_4(x))
Eq(F_17(x), F_18(x))
Eq(F_18(x), -F_19(x) + F_9(x))
Eq(F_19(x), F_0(x) + F_20(x))
Eq(F_20(x), F_21(x))
Eq(F_21(x), F_22(x)*F_4(x))
Eq(F_22(x), F_23(x) + F_265(x))
Eq(F_23(x), F_24(x) + F_26(x))
Eq(F_24(x), F_25(x)/F_4(x))
Eq(F_25(x), F_2(x))
Eq(F_26(x), F_27(x) + F_28(x))
Eq(F_27(x), F_0(x)*F_2(x))
Eq(F_28(x), F_29(x))
Eq(F_29(x), F_30(x)*F_4(x))
Eq(F_30(x), F_31(x) + F_35(x))
Eq(F_31(x), F_32(x)*F_33(x))
Eq(F_32(x), -F_0(x) + F_24(x))
Eq(F_33(x), F_34(x)/F_4(x))
Eq(F_34(x), F_2(x))
Eq(F_35(x), F_19(x)*F_36(x))
Eq(F_36(x), F_37(x))
Eq(F_37(x), F_38(x)*F_4(x))
Eq(F_38(x), F_39(x)/(F_0(x)*F_4(x)))
Eq(F_39(x), F_40(x))
Eq(F_40(x), F_4(x)*F_41(x)*F_47(x))
Eq(F_41(x), F_42(x) + F_55(x))
Eq(F_42(x), F_43(x)/(F_4(x)*F_47(x)))
Eq(F_43(x), F_44(x))
Eq(F_44(x), F_45(x) + F_50(x))
Eq(F_45(x), F_46(x))
Eq(F_46(x), F_0(x)**2*F_4(x)*F_47(x))
Eq(F_47(x), F_1(x) + F_48(x))
Eq(F_48(x), F_49(x))
Eq(F_49(x), F_4(x)*F_47(x))
Eq(F_50(x), F_51(x))
Eq(F_51(x), F_4(x)*F_47(x)*F_52(x))
Eq(F_52(x), F_44(x) + F_53(x))
Eq(F_53(x), F_54(x))
Eq(F_54(x), F_4(x)*F_41(x)*F_47(x))
Eq(F_55(x), F_56(x))
Eq(F_56(x), F_4(x)*F_57(x))
Eq(F_57(x), F_58(x)/(F_4(x)*F_71(x)))
Eq(F_58(x), F_59(x))
Eq(F_59(x), -F_264(x) + F_60(x))
Eq(F_60(x), F_61(x)/F_4(x))
Eq(F_61(x), F_62(x))
Eq(F_62(x), F_209(x) + F_63(x))
Eq(F_63(x), F_64(x))
Eq(F_64(x), F_4(x)*F_65(x))
Eq(F_65(x), F_124(x) + F_66(x))
Eq(F_66(x), F_2(x)*F_67(x))
Eq(F_67(x), F_102(x) + F_68(x))
Eq(F_68(x), F_19(x) + F_69(x))
Eq(F_69(x), F_70(x))
Eq(F_70(x), F_0(x)*F_101(x)*F_4(x)*F_71(x))
Eq(F_71(x), F_72(x) + F_83(x))
Eq(F_72(x), F_1(x) + F_73(x))
Eq(F_73(x), F_74(x))
Eq(F_74(x), F_4(x)*F_75(x))
Eq(F_75(x), F_72(x) + F_76(x))
Eq(F_76(x), F_77(x) + F_80(x))
Eq(F_77(x), F_78(x))
Eq(F_78(x), F_4(x)*F_79(x))
Eq(F_79(x), F_1(x) + F_77(x))
Eq(F_80(x), F_81(x))
Eq(F_81(x), F_4(x)*F_82(x))
Eq(F_82(x), F_73(x) + F_80(x))
Eq(F_83(x), F_48(x) + F_84(x))
Eq(F_84(x), F_85(x) + F_86(x) + F_88(x))
Eq(F_85(x), 0)
Eq(F_86(x), F_4(x)*F_87(x))
Eq(F_87(x), F_73(x) + F_84(x))
Eq(F_88(x), F_4(x)*F_89(x))
Eq(F_89(x), F_83(x) + F_90(x))
Eq(F_90(x), F_91(x) + F_96(x))
Eq(F_91(x), F_85(x) + F_92(x) + F_94(x))
Eq(F_92(x), F_4(x)*F_93(x))
Eq(F_93(x), F_77(x) + F_91(x))
Eq(F_94(x), F_4(x)*F_95(x))
Eq(F_95(x), F_48(x) + F_91(x))
Eq(F_96(x), 2*F_85(x) + F_97(x) + F_99(x))
Eq(F_97(x), F_4(x)*F_98(x))
Eq(F_98(x), F_80(x) + F_96(x))
Eq(F_99(x), F_100(x)*F_4(x))
Eq(F_100(x), F_84(x) + F_96(x))
Eq(F_101(x), F_79(x) + F_95(x))
Eq(F_102(x), F_103(x))
Eq(F_103(x), F_104(x) - F_119(x))
Eq(F_104(x), F_105(x)/F_4(x))
Eq(F_105(x), F_106(x))
Eq(F_106(x), F_107(x) - F_110(x))
Eq(F_107(x), F_108(x)/F_4(x))
Eq(F_108(x), F_109(x))
Eq(F_109(x), -F_2(x) + F_32(x))
Eq(F_110(x), F_111(x) + F_112(x))
Eq(F_111(x), F_2(x)*F_5(x))
Eq(F_112(x), F_113(x))
Eq(F_113(x), F_114(x)*F_4(x))
Eq(F_114(x), F_115(x) + F_118(x))
Eq(F_115(x), F_106(x)*F_116(x))
Eq(F_116(x), F_117(x)/F_4(x))
Eq(F_117(x), F_2(x))
Eq(F_118(x), F_59(x))
Eq(F_119(x), F_120(x) + F_123(x))
Eq(F_120(x), F_121(x)/F_4(x))
Eq(F_121(x), F_122(x))
Eq(F_122(x), -F_0(x) + F_33(x))
Eq(F_123(x), F_69(x))
Eq(F_124(x), F_125(x))
Eq(F_125(x), F_0(x)*F_126(x))
Eq(F_126(x), F_127(x) - F_151(x))
Eq(F_127(x), F_128(x)/F_4(x))
Eq(F_128(x), F_129(x))
Eq(F_129(x), F_130(x) - F_143(x))
Eq(F_130(x), F_131(x) - F_133(x))
Eq(F_131(x), F_132(x)/F_4(x))
Eq(F_132(x), F_109(x))
Eq(F_133(x), F_134(x) + F_148(x))
Eq(F_134(x), F_135(x) - F_142(x))
Eq(F_135(x), F_136(x) + F_137(x))
Eq(F_136(x), F_0(x)**2)
Eq(F_137(x), F_138(x))
Eq(F_138(x), F_0(x)*F_139(x)*F_4(x))
Eq(F_139(x), F_120(x) + F_140(x))
Eq(F_140(x), F_141(x))
Eq(F_141(x), F_19(x)*F_4(x)*F_47(x))
Eq(F_142(x), F_0(x) + F_143(x))
Eq(F_143(x), F_144(x))
Eq(F_144(x), F_0(x)*F_145(x)*F_4(x))
Eq(F_145(x), F_146(x) + F_33(x))
Eq(F_146(x), F_147(x))
Eq(F_147(x), F_0(x)*F_4(x)*F_47(x))
Eq(F_148(x), F_149(x))
Eq(F_149(x), F_150(x)*F_33(x)*F_4(x))
Eq(F_150(x), F_129(x) + F_32(x))
Eq(F_151(x), F_0(x)*F_152(x))
Eq(F_152(x), F_153(x))
Eq(F_153(x), F_154(x)*F_4(x))
Eq(F_154(x), F_155(x) + F_205(x))
Eq(F_155(x), F_156(x)*F_47(x))
Eq(F_156(x), F_157(x) + F_176(x))
Eq(F_157(x), F_158(x) + F_161(x))
Eq(F_158(x), F_159(x) + F_160(x))
Eq(F_159(x), F_1(x) + F_4(x))
Eq(F_160(x), F_4(x))
Eq(F_161(x), F_162(x) + F_175(x))
Eq(F_162(x), F_163(x) + F_73(x))
Eq(F_163(x), F_164(x) + F_174(x) + F_85(x))
Eq(F_164(x), F_165(x)*F_4(x))
Eq(F_165(x), F_166(x) + F_167(x))
Eq(F_166(x), F_163(x) + F_4(x))
Eq(F_167(x), F_168(x) + F_171(x))
Eq(F_168(x), F_169(x))
Eq(F_169(x), F_170(x)*F_4(x))
Eq(F_170(x), F_168(x) + F_4(x))
Eq(F_171(x), F_172(x))
Eq(F_172(x), F_173(x)*F_4(x))
Eq(F_173(x), F_163(x) + F_171(x))
Eq(F_174(x), F_4(x)*F_77(x))
Eq(F_175(x), F_163(x))
Eq(F_176(x), F_177(x) + F_184(x))
Eq(F_177(x), F_178(x) + F_183(x))
Eq(F_178(x), F_179(x) + F_48(x))
Eq(F_179(x), F_180(x) + F_182(x) + F_85(x))
Eq(F_180(x), F_181(x)*F_4(x))
Eq(F_181(x), F_179(x) + F_4(x))
Eq(F_182(x), F_4(x)*F_48(x))
Eq(F_183(x), F_179(x))
Eq(F_184(x), F_185(x) + F_204(x))
Eq(F_185(x), F_186(x) + F_84(x))
Eq(F_186(x), F_187(x) + F_189(x) + F_203(x) + F_85(x))
Eq(F_187(x), F_188(x)*F_4(x))
Eq(F_188(x), F_163(x) + F_186(x))
Eq(F_189(x), F_190(x)*F_4(x))
Eq(F_190(x), F_191(x) + F_192(x))
Eq(F_191(x), F_179(x) + F_186(x))
Eq(F_192(x), F_193(x) + F_198(x))
Eq(F_193(x), F_194(x) + F_196(x) + 2*F_85(x))
Eq(F_194(x), F_195(x)*F_4(x))
Eq(F_195(x), F_168(x) + F_193(x))
Eq(F_196(x), F_197(x)*F_4(x))
Eq(F_197(x), F_179(x) + F_193(x))
Eq(F_198(x), F_199(x) + F_201(x) + 3*F_85(x))
Eq(F_199(x), F_200(x)*F_4(x))
Eq(F_200(x), F_171(x) + F_198(x))
Eq(F_201(x), F_202(x)*F_4(x))
Eq(F_202(x), F_186(x) + F_198(x))
Eq(F_203(x), F_4(x)*F_91(x))
Eq(F_204(x), F_186(x))
Eq(F_205(x), F_181(x)*F_206(x))
Eq(F_206(x), F_207(x) + F_208(x))
Eq(F_207(x), F_159(x) + F_162(x))
Eq(F_208(x), F_178(x) + F_185(x))
Eq(F_209(x), F_210(x))
Eq(F_210(x), F_211(x)*F_24(x)*F_4(x))
Eq(F_211(x), F_212(x) - F_262(x))
Eq(F_212(x), F_213(x) - F_215(x))
Eq(F_213(x), F_214(x)/F_4(x))
Eq(F_214(x), F_109(x))
Eq(F_215(x), F_216(x) + F_62(x))
Eq(F_216(x), F_217(x) + F_218(x))
Eq(F_217(x), F_0(x)*F_2(x))
Eq(F_218(x), F_219(x))
Eq(F_219(x), F_220(x)*F_4(x))
Eq(F_220(x), F_221(x) + F_222(x))
Eq(F_221(x), F_122(x)*F_24(x))
Eq(F_222(x), F_0(x)*F_223(x))
Eq(F_223(x), F_224(x) - F_227(x))
Eq(F_224(x), F_225(x)/F_4(x))
Eq(F_225(x), F_226(x))
Eq(F_226(x), F_122(x) - F_2(x))
Eq(F_227(x), F_228(x) + F_229(x))
Eq(F_228(x), F_2(x)*F_33(x))
Eq(F_229(x), F_230(x))
Eq(F_230(x), F_231(x)*F_4(x))
Eq(F_231(x), F_232(x) + F_237(x))
Eq(F_232(x), F_233(x))
Eq(F_233(x), F_19(x)*F_234(x))
Eq(F_234(x), F_235(x))
Eq(F_235(x), F_236(x)*F_4(x)*F_47(x))
Eq(F_236(x), F_24(x) + F_36(x))
Eq(F_237(x), F_19(x)*F_238(x))
Eq(F_238(x), F_239(x) - F_261(x))
Eq(F_239(x), F_240(x)/F_79(x))
Eq(F_240(x), F_241(x) - F_259(x))
Eq(F_241(x), F_242(x)/F_4(x))
Eq(F_242(x), F_243(x))
Eq(F_243(x), F_244(x)*F_4(x)*F_79(x))
Eq(F_244(x), F_245(x)/F_4(x))
Eq(F_245(x), F_246(x))
Eq(F_246(x), F_247(x) + F_253(x))
Eq(F_247(x), F_2(x) + F_248(x))
Eq(F_248(x), F_249(x))
Eq(F_249(x), F_250(x)*F_4(x))
Eq(F_250(x), F_251(x) + F_252(x))
Eq(F_251(x), F_24(x)*F_48(x))
Eq(F_252(x), F_36(x)*F_47(x))
Eq(F_253(x), F_254(x))
Eq(F_254(x), F_255(x)*F_4(x)*F_77(x))
Eq(F_255(x), F_238(x) + F_256(x))
Eq(F_256(x), F_0(x) + F_257(x))
Eq(F_257(x), F_258(x))
Eq(F_258(x), F_255(x)*F_4(x))
Eq(F_259(x), F_260(x))
Eq(F_260(x), F_255(x)*F_4(x)*F_79(x)**2)
Eq(F_261(x), F_116(x) + F_234(x))
Eq(F_262(x), F_263(x))
Eq(F_263(x), F_4(x)*F_67(x))
Eq(F_264(x), F_116(x)*F_212(x))
Eq(F_265(x), F_266(x))
Eq(F_266(x), F_19(x)*F_256(x)*F_4(x))
Eq(F_267(x), F_268(x) + F_269(x))
Eq(F_268(x), F_2(x)*F_72(x))
Eq(F_269(x), F_270(x))
Eq(F_270(x), F_271(x)*F_4(x))
Eq(F_271(x), F_272(x) + F_345(x))
Eq(F_272(x), F_2(x)*F_273(x))
Eq(F_273(x), F_274(x)/F_4(x))
Eq(F_274(x), F_275(x))
Eq(F_275(x), F_2(x) + F_276(x))
Eq(F_276(x), F_277(x))
Eq(F_277(x), F_278(x)*F_4(x))
Eq(F_278(x), F_279(x)/F_72(x))
Eq(F_279(x), F_280(x) - F_337(x))
Eq(F_280(x), F_281(x)/F_4(x))
Eq(F_281(x), F_282(x))
Eq(F_282(x), F_283(x) - F_344(x))
Eq(F_283(x), F_284(x) - F_313(x))
Eq(F_284(x), F_285(x)/F_4(x))
Eq(F_285(x), F_286(x))
Eq(F_286(x), -F_2(x) + F_287(x))
Eq(F_287(x), -F_288(x) + F_5(x))
Eq(F_288(x), F_1(x) + F_289(x))
Eq(F_289(x), F_290(x))
Eq(F_290(x), F_291(x)*F_4(x))
Eq(F_291(x), F_292(x) + F_72(x))
Eq(F_292(x), F_293(x) + F_300(x))
Eq(F_293(x), F_294(x))
Eq(F_294(x), F_295(x)*F_4(x))
Eq(F_295(x), F_296(x) + F_79(x))
Eq(F_296(x), F_297(x) + F_4(x))
Eq(F_297(x), F_298(x) + F_299(x) + F_85(x))
Eq(F_298(x), F_4(x)*F_77(x))
Eq(F_299(x), F_296(x)*F_4(x))
Eq(F_300(x), F_301(x) + F_306(x) + F_85(x))
Eq(F_301(x), F_302(x)*F_4(x))
Eq(F_302(x), F_303(x) + F_82(x))
Eq(F_303(x), F_304(x) + F_310(x))
Eq(F_304(x), F_305(x) + F_306(x) + F_85(x))
Eq(F_305(x), F_4(x)*F_73(x))
Eq(F_306(x), F_307(x)*F_4(x))
Eq(F_307(x), F_308(x) + F_309(x))
Eq(F_308(x), F_304(x) + F_4(x))
Eq(F_309(x), F_297(x) + F_310(x))
Eq(F_310(x), F_311(x) + F_312(x) + 2*F_85(x))
Eq(F_311(x), F_4(x)*F_80(x))
Eq(F_312(x), F_303(x)*F_4(x))
Eq(F_313(x), -F_314(x) + F_8(x))
Eq(F_314(x), F_10(x) + F_315(x))
Eq(F_315(x), F_316(x) + F_331(x))
Eq(F_316(x), F_317(x) + F_73(x))
Eq(F_317(x), F_318(x) + F_323(x) + F_85(x))
Eq(F_318(x), F_319(x)*F_4(x))
Eq(F_319(x), F_320(x) + F_321(x))
Eq(F_320(x), F_317(x) + F_73(x))
Eq(F_321(x), F_322(x) + F_326(x))
Eq(F_322(x), F_305(x) + F_323(x) + F_85(x))
Eq(F_323(x), F_324(x)*F_4(x))
Eq(F_324(x), F_325(x))
Eq(F_325(x), F_322(x) + F_4(x))
Eq(F_326(x), F_327(x) + F_328(x) + F_330(x) + F_85(x))
Eq(F_327(x), F_317(x)*F_4(x))
Eq(F_328(x), F_329(x)*F_4(x))
Eq(F_329(x), F_321(x))
Eq(F_330(x), 0)
Eq(F_331(x), F_332(x) + F_333(x))
Eq(F_332(x), F_2(x)*F_73(x))
Eq(F_333(x), F_334(x))
Eq(F_334(x), F_335(x)*F_4(x))
Eq(F_335(x), F_336(x) + F_337(x))
Eq(F_336(x), F_278(x)*F_73(x))
Eq(F_337(x), F_338(x) + F_340(x))
Eq(F_338(x), F_339(x))
Eq(F_339(x), F_331(x))
Eq(F_340(x), F_341(x))
Eq(F_341(x), F_342(x)*F_4(x)*F_72(x)*F_79(x))
Eq(F_342(x), F_278(x) - F_343(x))
Eq(F_343(x), F_339(x)/(F_4(x)*F_72(x)*F_79(x)))
Eq(F_344(x), F_2(x)*F_72(x))
Eq(F_345(x), F_257(x)*F_346(x))
Eq(F_346(x), F_347(x)/(F_4(x)*F_47(x)))
Eq(F_347(x), F_348(x))
Eq(F_348(x), F_349(x) - F_365(x))
Eq(F_349(x), F_350(x))
Eq(F_350(x), F_351(x)*F_4(x)*F_47(x))
Eq(F_351(x), F_352(x)/(F_4(x)*F_47(x)))
Eq(F_352(x), F_353(x))
Eq(F_353(x), F_354(x))
Eq(F_354(x), F_355(x)*F_4(x))
Eq(F_355(x), F_356(x) + F_360(x))
Eq(F_356(x), F_357(x)*F_47(x))
Eq(F_357(x), F_353(x) + F_358(x))
Eq(F_358(x), F_342(x) + F_359(x))
Eq(F_359(x), F_343(x) + F_75(x))
Eq(F_360(x), F_361(x)/F_4(x))
Eq(F_361(x), F_362(x))
Eq(F_362(x), F_363(x)*F_4(x))
Eq(F_363(x), F_364(x))
Eq(F_364(x), F_351(x)*F_4(x)*F_47(x)**2)
Eq(F_365(x), F_366(x))
Eq(F_366(x), F_367(x)*F_4(x)*F_47(x))
Eq(F_367(x), F_368(x) + F_369(x))
Eq(F_368(x), F_358(x) - F_9(x))
Eq(F_369(x), F_351(x) - F_357(x))
Eq(F_370(x), F_371(x))
Eq(F_371(x), F_372(x)*F_4(x))
Eq(F_372(x), F_373(x) + F_376(x))
Eq(F_373(x), F_16(x) + F_374(x))
Eq(F_374(x), F_375(x))
Eq(F_375(x), F_351(x)*F_4(x)*F_47(x)**2)
Eq(F_376(x), F_377(x) + F_379(x))
Eq(F_377(x), F_378(x))
Eq(F_378(x), F_16(x)*F_4(x)*F_47(x))
Eq(F_379(x), F_380(x))
Eq(F_380(x), F_381(x)*F_4(x)*F_47(x))
Eq(F_381(x), F_360(x) + F_382(x))
Eq(F_382(x), F_383(x))
Eq(F_383(x), F_181(x)*F_351(x))
Pack JSON:
{"name": "point_placements_req_corrob", "initial_strats": [{"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 3, 1, 4, 2], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [0, 4, 1, 3, 2], [0, 4, 3, 1, 2], [0, 4, 3, 2, 1], [3, 0, 1, 4, 2], [3, 0, 4, 1, 2], [3, 0, 4, 2, 1]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 3, 1, 4, 2], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [0, 4, 1, 3, 2], [0, 4, 3, 1, 2], [0, 4, 3, 2, 1], [3, 0, 1, 4, 2], [3, 0, 4, 1, 2], [3, 0, 4, 2, 1]], "symmetry": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"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, 1, 3, 2], "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": [3, 0, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 2], [0, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 2], [0, 0], [0, 2]]}, {"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, 0], [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": [2, 0, 1, 3], "pos": [[0, 2], [0, 0], [0, 0], [0, 2]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 2], [0, 0], [0, 2], [0, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"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, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 1, 3, 2], "pos": [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 1, 3, 2], "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": [3, 0, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [3, 0, 1, 4, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 1], [0, 0], [0, 1]]}, {"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, 0], [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": [2, 0, 1, 3], "pos": [[0, 1], [0, 0], [0, 0], [0, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 1], [0, 0], [0, 1], [0, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": 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{"patt": [1, 2, 0], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 0], "pos": [[0, 0], [0, 1], [0, 0]]}, {"patt": [1, 2, 0], "pos": [[0, 0], [0, 2], [0, 0]]}, {"patt": [2, 1, 0], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [2, 1, 0], "pos": [[0, 1], [0, 0], [0, 0]]}, {"patt": [2, 1, 0], "pos": [[0, 2], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 2, 0], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 0], "pos": [[0, 0], [0, 1], [0, 0]]}, {"patt": [2, 1, 0], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [2, 1, 0], "pos": [[0, 1], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 2]]}, {"patt": [0, 1], "pos": [[0, 2], [0, 2]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 2], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 2], [0, 2]]}, {"patt": [1, 2, 0], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 0], "pos": [[0, 0], [0, 1], [0, 0]]}, {"patt": [1, 2, 0], "pos": [[0, 0], [0, 2], [0, 0]]}, {"patt": [2, 1, 0], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [2, 1, 0], "pos": [[0, 1], [0, 0], [0, 0]]}, {"patt": [2, 1, 0], "pos": [[0, 2], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 1]]}], [{"patt": [0], "pos": [[0, 2]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementInsertionStrategy", "ignore_parent": true, "gps": [{"patt": [0], "pos": [[0, 2]]}]}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalenceRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 2]]}, {"patt": [0, 1], "pos": [[0, 2], [0, 2]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 2], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 2], [0, 2]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 2]]}, {"patt": [0, 1], "pos": [[0, 2], [0, 2]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 2], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 2], [0, 2]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 1]]}], [{"patt": [0], "pos": [[0, 2]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementInsertionStrategy", "ignore_parent": true, "gps": [{"patt": [0], "pos": [[0, 2]]}]}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalenceRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [0, 1], "pos": [[0, 2], [0, 2]]}, {"patt": [0, 1], "pos": [[0, 2], [0, 3]]}, {"patt": [0, 1], "pos": [[0, 3], [0, 3]]}, {"patt": [1, 0], "pos": [[0, 2], [0, 2]]}, {"patt": [1, 0], "pos": [[0, 3], [0, 2]]}, {"patt": [1, 0], "pos": [[0, 3], [0, 3]]}, {"patt": [1, 2, 0], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [1, 2, 0], "pos": [[0, 1], [0, 2], [0, 1]]}, {"patt": [1, 2, 0], "pos": [[0, 1], [0, 3], [0, 1]]}, {"patt": [2, 1, 0], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [2, 1, 0], "pos": [[0, 2], [0, 1], [0, 1]]}, {"patt": [2, 1, 0], "pos": [[0, 3], [0, 1], [0, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 1]]}], [{"patt": [0], "pos": [[0, 2]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [0, 1], "pos": [[0, 2], [0, 2]]}, {"patt": [1, 0], "pos": [[0, 2], [0, 2]]}, {"patt": [1, 2, 0], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [1, 2, 0], "pos": [[0, 1], [0, 2], [0, 1]]}, {"patt": [2, 1, 0], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [2, 1, 0], "pos": [[0, 2], [0, 1], [0, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 1]]}], [{"patt": [0], "pos": [[0, 2]]}]], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [0, 1], "pos": [[0, 2], [0, 2]]}, {"patt": [0, 1], "pos": [[0, 2], [0, 3]]}, {"patt": [0, 1], "pos": [[0, 3], [0, 3]]}, {"patt": [1, 0], "pos": [[0, 2], [0, 2]]}, {"patt": [1, 0], "pos": [[0, 3], [0, 2]]}, {"patt": [1, 0], "pos": [[0, 3], [0, 3]]}, {"patt": [1, 2, 0], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [1, 2, 0], "pos": [[0, 1], [0, 2], [0, 1]]}, {"patt": [1, 2, 0], "pos": [[0, 1], [0, 3], [0, 1]]}, {"patt": [2, 1, 0], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [2, 1, 0], "pos": [[0, 2], [0, 1], [0, 1]]}, {"patt": [2, 1, 0], "pos": [[0, 3], [0, 1], [0, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 1]]}], [{"patt": [0], "pos": [[0, 2]]}], [{"patt": [0], "pos": [[0, 3]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementInsertionStrategy", "ignore_parent": true, "gps": [{"patt": [0], "pos": [[0, 3]]}]}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "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": [[1, 0]]}, {"patt": [0], "pos": [[2, 0]]}, {"patt": [0], "pos": [[3, 1]]}, {"patt": [0], "pos": [[4, 0]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [1, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [2, 1]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1], "pos": [[1, 1], [2, 1]]}, {"patt": [0, 1], "pos": [[2, 1], [2, 1]]}, {"patt": [0, 1], "pos": [[3, 0], [3, 0]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [2, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [2, 1]]}, {"patt": [1, 0], "pos": [[2, 1], [2, 1]]}, {"patt": [1, 0], "pos": [[3, 0], [3, 0]]}, {"patt": [1, 2, 0], "pos": [[0, 1], [4, 1], [4, 1]]}, {"patt": [1, 2, 0], "pos": [[1, 1], [4, 1], [4, 1]]}, {"patt": [1, 2, 0], "pos": [[2, 1], [4, 1], [4, 1]]}, {"patt": [1, 2, 0], "pos": [[4, 1], [4, 1], [4, 1]]}, {"patt": [2, 1, 0], "pos": [[0, 1], [4, 1], [4, 1]]}, {"patt": [2, 1, 0], "pos": [[1, 1], [4, 1], [4, 1]]}, {"patt": [2, 1, 0], "pos": [[2, 1], [4, 1], [4, 1]]}, {"patt": [2, 1, 0], "pos": [[4, 1], [4, 1], [4, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}], [{"patt": [0], "pos": [[1, 1]]}], [{"patt": [0], "pos": [[3, 0]]}]], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}]}
Specification 2
Strategy pack name: requirement_placements
Tree: http://permpal.com/tree/24520/
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[117,x]+F[8,x]
F[8,x] = F[100,x]+F[9,x]
F[9,x] = F[10,x]+F[87,x]
F[10,x] = F[0,x]+F[11,x]
F[11,x] = F[12,x]
F[12,x] = F[13,x]*F[17,x]
F[13,x] = F[14,x]+F[18,x]
F[14,x] = F[0,x]*F[15,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[19,x] = F[10,x]*F[17,x]*F[20,x]
F[20,x] = 1/F[17,x]*F[21,x]
F[21,x] = F[22,x]
F[22,x] = -F[0,x]+F[23,x]
F[23,x] = F[24,x]+F[44,x]
F[24,x] = F[25,x]+F[28,x]
F[25,x] = F[1,x]+F[26,x]
F[26,x] = F[27,x]
F[27,x] = F[17,x]*F[25,x]
F[28,x] = F[26,x]+F[29,x]
F[29,x] = F[30,x]+F[31,x]+F[43,x]
F[30,x] = 0
F[31,x] = F[17,x]*F[32,x]
F[32,x] = F[33,x]+F[36,x]
F[33,x] = F[34,x]
F[34,x] = F[17,x]*F[35,x]
F[35,x] = F[1,x]+F[17,x]
F[36,x] = F[30,x]+F[31,x]+F[37,x]
F[37,x] = F[17,x]*F[38,x]
F[38,x] = F[26,x]+F[39,x]
F[39,x] = F[30,x]+F[40,x]+F[42,x]
F[40,x] = F[17,x]*F[41,x]
F[41,x] = F[17,x]+F[39,x]
F[42,x] = F[17,x]*F[26,x]
F[43,x] = F[17,x]*F[28,x]
F[44,x] = F[45,x]
F[45,x] = F[17,x]*F[25,x]*F[46,x]
F[46,x] = F[47,x]+F[59,x]
F[47,x] = F[48,x]
F[48,x] = F[17,x]*F[49,x]*F[55,x]
F[49,x] = -F[52,x]+F[50,x]
F[50,x] = 1/F[17,x]*F[51,x]
F[51,x] = F[52,x]
F[52,x] = F[53,x]
F[53,x] = F[17,x]*F[54,x]
F[54,x] = F[5,x]+F[52,x]
F[55,x] = F[25,x]+F[56,x]
F[56,x] = F[26,x]+F[57,x]
F[57,x] = F[30,x]+F[40,x]+F[58,x]
F[58,x] = F[17,x]*F[56,x]
F[59,x] = F[60,x]
F[60,x] = F[17,x]*F[61,x]
F[61,x] = 1/F[0,x]/F[17,x]*F[62,x]
F[62,x] = F[63,x]
F[63,x] = -F[80,x]+F[64,x]
F[64,x] = 1/F[17,x]*F[65,x]
F[65,x] = F[66,x]
F[66,x] = -F[67,x]+F[50,x]
F[67,x] = F[68,x]
F[68,x] = F[17,x]*F[25,x]*F[69,x]
F[69,x] = F[70,x]+F[76,x]
F[70,x] = F[71,x]+F[75,x]
F[71,x] = F[0,x]+F[72,x]
F[72,x] = -F[52,x]+F[73,x]
F[73,x] = 1/F[17,x]*F[74,x]
F[74,x] = F[52,x]
F[75,x] = F[72,x]
F[76,x] = F[77,x]
F[77,x] = F[17,x]*F[78,x]
F[78,x] = F[79,x]
F[79,x] = F[10,x]*F[17,x]*F[25,x]
F[80,x] = F[81,x]
F[81,x] = F[17,x]*F[82,x]
F[82,x] = F[83,x]+F[86,x]
F[83,x] = F[52,x]*F[84,x]
F[84,x] = F[4,x]+F[85,x]
F[85,x] = F[10,x]*F[26,x]
F[86,x] = F[4,x]*F[49,x]
F[87,x] = -F[91,x]+F[88,x]
F[88,x] = -F[98,x]+F[89,x]
F[89,x] = 1/F[17,x]*F[90,x]
F[90,x] = F[91,x]
F[91,x] = -F[92,x]+F[10,x]
F[92,x] = F[0,x]+F[93,x]
F[93,x] = F[94,x]
F[94,x] = F[17,x]*F[95,x]
F[95,x] = F[92,x]+F[96,x]
F[96,x] = F[97,x]
F[97,x] = F[10,x]*F[17,x]
F[98,x] = F[99,x]
F[99,x] = F[17,x]*F[25,x]*F[96,x]
F[100,x] = F[101,x]
F[101,x] = F[102,x]*F[17,x]
F[102,x] = -F[115,x]+F[103,x]
F[103,x] = 1/F[17,x]*F[104,x]
F[104,x] = F[105,x]
F[105,x] = F[106,x]
F[106,x] = F[107,x]*F[17,x]
F[107,x] = F[108,x]+F[112,x]
F[108,x] = F[109,x]+F[110,x]
F[109,x] = F[10,x]*F[15,x]
F[110,x] = F[111,x]
F[111,x] = F[10,x]*F[17,x]*F[20,x]*F[25,x]
F[112,x] = F[113,x]
F[113,x] = F[114,x]*F[17,x]*F[20,x]
F[114,x] = F[10,x]+F[105,x]
F[115,x] = F[116,x]
F[116,x] = F[25,x]^2*F[10,x]*F[17,x]
F[117,x] = F[118,x]
F[118,x] = F[119,x]*F[17,x]
F[119,x] = F[120,x]+F[142,x]
F[120,x] = -F[139,x]+F[121,x]
F[121,x] = -F[128,x]+F[122,x]
F[122,x] = 1/F[17,x]*F[123,x]
F[123,x] = F[124,x]
F[124,x] = 1/F[0,x]/F[17,x]*F[125,x]
F[125,x] = F[126,x]
F[126,x] = F[0,x]*F[127,x]*F[17,x]
F[127,x] = -F[10,x]+F[9,x]
F[128,x] = F[129,x]
F[129,x] = F[10,x]*F[130,x]*F[17,x]*F[25,x]
F[130,x] = F[131,x]+F[134,x]
F[131,x] = F[1,x]+F[132,x]
F[132,x] = F[133,x]
F[133,x] = F[131,x]*F[17,x]
F[134,x] = F[135,x]+F[26,x]
F[135,x] = F[136,x]+F[138,x]+F[30,x]
F[136,x] = F[137,x]*F[17,x]
F[137,x] = F[132,x]+F[135,x]
F[138,x] = F[134,x]*F[17,x]
F[139,x] = -F[140,x]+F[102,x]
F[140,x] = F[141,x]
F[141,x] = F[114,x]*F[17,x]*F[25,x]
F[142,x] = -F[190,x]+F[143,x]
F[143,x] = 1/F[17,x]*F[144,x]
F[144,x] = F[145,x]
F[145,x] = F[146,x]*F[17,x]
F[146,x] = F[147,x]+F[186,x]
F[147,x] = F[148,x]+F[170,x]
F[148,x] = F[149,x]
F[149,x] = F[150,x]
F[150,x] = F[114,x]*F[151,x]*F[17,x]
F[151,x] = 1/F[10,x]/F[17,x]*F[152,x]
F[152,x] = F[153,x]
F[153,x] = -F[159,x]+F[154,x]
F[154,x] = 1/F[17,x]*F[155,x]
F[155,x] = F[156,x]
F[156,x] = -F[157,x]+F[4,x]
F[157,x] = F[158,x]
F[158,x] = F[0,x]^2
F[159,x] = -F[162,x]+F[160,x]
F[160,x] = 1/F[17,x]*F[161,x]
F[161,x] = F[5,x]
F[162,x] = F[10,x]+F[163,x]
F[163,x] = -F[91,x]+F[164,x]
F[164,x] = -F[167,x]+F[165,x]
F[165,x] = 1/F[17,x]*F[166,x]
F[166,x] = F[91,x]
F[167,x] = F[168,x]
F[168,x] = F[10,x]*F[169,x]*F[17,x]
F[169,x] = F[2,x]+F[22,x]
F[170,x] = -F[178,x]+F[171,x]
F[171,x] = -F[176,x]+F[172,x]
F[172,x] = 1/F[17,x]*F[173,x]
F[173,x] = F[174,x]
F[174,x] = 1/F[0,x]/F[17,x]*F[175,x]
F[175,x] = F[126,x]
F[176,x] = F[177,x]
F[177,x] = F[10,x]*F[130,x]*F[17,x]*F[23,x]
F[178,x] = -F[184,x]+F[179,x]
F[179,x] = -F[182,x]+F[180,x]
F[180,x] = 1/F[17,x]*F[181,x]
F[181,x] = F[105,x]
F[182,x] = F[183,x]
F[183,x] = F[10,x]*F[17,x]*F[23,x]*F[25,x]
F[184,x] = F[185,x]
F[185,x] = F[114,x]*F[17,x]*F[23,x]
F[186,x] = F[187,x]
F[187,x] = F[17,x]*F[188,x]
F[188,x] = F[189,x]
F[189,x] = F[10,x]*F[130,x]*F[17,x]*F[23,x]*F[25,x]
F[190,x] = F[120,x]+F[191,x]
F[191,x] = -F[140,x]+F[192,x]
F[192,x] = 1/F[17,x]*F[193,x]
F[193,x] = F[194,x]
F[194,x] = F[17,x]*F[195,x]
F[195,x] = F[149,x]+F[196,x]
F[196,x] = F[184,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_{117}\! \left(x \right)+F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{100}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{87}\! \left(x \right)
F_{10}\! \left(x \right) = F_{0}\! \left(x \right)+F_{11}\! \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_{14}\! \left(x \right)+F_{18}\! \left(x \right)
F_{14}\! \left(x \right) = F_{0}\! \left(x \right) F_{15}\! \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_{19}\! \left(x \right) = F_{10}\! \left(x \right) F_{17}\! \left(x \right) F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = \frac{F_{21}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)+F_{44}\! \left(x \right)
F_{24}\! \left(x \right) = F_{25}\! \left(x \right)+F_{28}\! \left(x \right)
F_{25}\! \left(x \right) = F_{1}\! \left(x \right)+F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = F_{17}\! \left(x \right) F_{25}\! \left(x \right)
F_{28}\! \left(x \right) = F_{26}\! \left(x \right)+F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)+F_{31}\! \left(x \right)+F_{43}\! \left(x \right)
F_{30}\! \left(x \right) = 0
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_{36}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = F_{17}\! \left(x \right) F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{1}\! \left(x \right)+F_{17}\! \left(x \right)
F_{36}\! \left(x \right) = F_{30}\! \left(x \right)+F_{31}\! \left(x \right)+F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{17}\! \left(x \right) F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{26}\! \left(x \right)+F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{30}\! \left(x \right)+F_{40}\! \left(x \right)+F_{42}\! \left(x \right)
F_{40}\! \left(x \right) = F_{17}\! \left(x \right) F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{17}\! \left(x \right)+F_{39}\! \left(x \right)
F_{42}\! \left(x \right) = F_{17}\! \left(x \right) F_{26}\! \left(x \right)
F_{43}\! \left(x \right) = F_{17}\! \left(x \right) F_{28}\! \left(x \right)
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{17}\! \left(x \right) F_{25}\! \left(x \right) F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{47}\! \left(x \right)+F_{59}\! \left(x \right)
F_{47}\! \left(x \right) = F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{17}\! \left(x \right) F_{49}\! \left(x \right) F_{55}\! \left(x \right)
F_{49}\! \left(x \right) = -F_{52}\! \left(x \right)+F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = \frac{F_{51}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{51}\! \left(x \right) = F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{17}\! \left(x \right) F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{5}\! \left(x \right)+F_{52}\! \left(x \right)
F_{55}\! \left(x \right) = F_{25}\! \left(x \right)+F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{26}\! \left(x \right)+F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = F_{30}\! \left(x \right)+F_{40}\! \left(x \right)+F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{17}\! \left(x \right) F_{56}\! \left(x \right)
F_{59}\! \left(x \right) = F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{17}\! \left(x \right) F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = \frac{F_{62}\! \left(x \right)}{F_{0}\! \left(x \right) F_{17}\! \left(x \right)}
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = -F_{80}\! \left(x \right)+F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = \frac{F_{65}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{65}\! \left(x \right) = F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = -F_{67}\! \left(x \right)+F_{50}\! \left(x \right)
F_{67}\! \left(x \right) = F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{17}\! \left(x \right) F_{25}\! \left(x \right) F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{70}\! \left(x \right)+F_{76}\! \left(x \right)
F_{70}\! \left(x \right) = F_{71}\! \left(x \right)+F_{75}\! \left(x \right)
F_{71}\! \left(x \right) = F_{0}\! \left(x \right)+F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = -F_{52}\! \left(x \right)+F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = \frac{F_{74}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{74}\! \left(x \right) = F_{52}\! \left(x \right)
F_{75}\! \left(x \right) = F_{72}\! \left(x \right)
F_{76}\! \left(x \right) = F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{17}\! \left(x \right) F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{10}\! \left(x \right) F_{17}\! \left(x \right) F_{25}\! \left(x \right)
F_{80}\! \left(x \right) = F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{17}\! \left(x \right) F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{83}\! \left(x \right)+F_{86}\! \left(x \right)
F_{83}\! \left(x \right) = F_{52}\! \left(x \right) F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{4}\! \left(x \right)+F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{10}\! \left(x \right) F_{26}\! \left(x \right)
F_{86}\! \left(x \right) = F_{4}\! \left(x \right) F_{49}\! \left(x \right)
F_{87}\! \left(x \right) = -F_{91}\! \left(x \right)+F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = -F_{98}\! \left(x \right)+F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = \frac{F_{90}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{90}\! \left(x \right) = F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = -F_{92}\! \left(x \right)+F_{10}\! \left(x \right)
F_{92}\! \left(x \right) = F_{0}\! \left(x \right)+F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{17}\! \left(x \right) F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{92}\! \left(x \right)+F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{10}\! \left(x \right) F_{17}\! \left(x \right)
F_{98}\! \left(x \right) = F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{17}\! \left(x \right) F_{25}\! \left(x \right) F_{96}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right) F_{17}\! \left(x \right)
F_{102}\! \left(x \right) = -F_{115}\! \left(x \right)+F_{103}\! \left(x \right)
F_{103}\! \left(x \right) = \frac{F_{104}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{104}\! \left(x \right) = F_{105}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x \right)
F_{106}\! \left(x \right) = F_{107}\! \left(x \right) F_{17}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right)+F_{112}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)+F_{110}\! \left(x \right)
F_{109}\! \left(x \right) = F_{10}\! \left(x \right) F_{15}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right)
F_{111}\! \left(x \right) = F_{10}\! \left(x \right) F_{17}\! \left(x \right) F_{20}\! \left(x \right) F_{25}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right) F_{17}\! \left(x \right) F_{20}\! \left(x \right)
F_{114}\! \left(x \right) = F_{10}\! \left(x \right)+F_{105}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right)
F_{116}\! \left(x \right) = F_{25} \left(x \right)^{2} F_{10}\! \left(x \right) F_{17}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right) F_{17}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)+F_{142}\! \left(x \right)
F_{120}\! \left(x \right) = -F_{139}\! \left(x \right)+F_{121}\! \left(x \right)
F_{121}\! \left(x \right) = -F_{128}\! \left(x \right)+F_{122}\! \left(x \right)
F_{122}\! \left(x \right) = \frac{F_{123}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{123}\! \left(x \right) = F_{124}\! \left(x \right)
F_{124}\! \left(x \right) = \frac{F_{125}\! \left(x \right)}{F_{0}\! \left(x \right) F_{17}\! \left(x \right)}
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)
F_{126}\! \left(x \right) = F_{0}\! \left(x \right) F_{127}\! \left(x \right) F_{17}\! \left(x \right)
F_{127}\! \left(x \right) = -F_{10}\! \left(x \right)+F_{9}\! \left(x \right)
F_{128}\! \left(x \right) = F_{129}\! \left(x \right)
F_{129}\! \left(x \right) = F_{10}\! \left(x \right) F_{130}\! \left(x \right) F_{17}\! \left(x \right) F_{25}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right)+F_{134}\! \left(x \right)
F_{131}\! \left(x \right) = F_{1}\! \left(x \right)+F_{132}\! \left(x \right)
F_{132}\! \left(x \right) = F_{133}\! \left(x \right)
F_{133}\! \left(x \right) = F_{131}\! \left(x \right) F_{17}\! \left(x \right)
F_{134}\! \left(x \right) = F_{135}\! \left(x \right)+F_{26}\! \left(x \right)
F_{135}\! \left(x \right) = F_{136}\! \left(x \right)+F_{138}\! \left(x \right)+F_{30}\! \left(x \right)
F_{136}\! \left(x \right) = F_{137}\! \left(x \right) F_{17}\! \left(x \right)
F_{137}\! \left(x \right) = F_{132}\! \left(x \right)+F_{135}\! \left(x \right)
F_{138}\! \left(x \right) = F_{134}\! \left(x \right) F_{17}\! \left(x \right)
F_{139}\! \left(x \right) = -F_{140}\! \left(x \right)+F_{102}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right)
F_{141}\! \left(x \right) = F_{114}\! \left(x \right) F_{17}\! \left(x \right) F_{25}\! \left(x \right)
F_{142}\! \left(x \right) = -F_{190}\! \left(x \right)+F_{143}\! \left(x \right)
F_{143}\! \left(x \right) = \frac{F_{144}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{144}\! \left(x \right) = F_{145}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right) F_{17}\! \left(x \right)
F_{146}\! \left(x \right) = F_{147}\! \left(x \right)+F_{186}\! \left(x \right)
F_{147}\! \left(x \right) = F_{148}\! \left(x \right)+F_{170}\! \left(x \right)
F_{148}\! \left(x \right) = F_{149}\! \left(x \right)
F_{149}\! \left(x \right) = F_{150}\! \left(x \right)
F_{150}\! \left(x \right) = F_{114}\! \left(x \right) F_{151}\! \left(x \right) F_{17}\! \left(x \right)
F_{151}\! \left(x \right) = \frac{F_{152}\! \left(x \right)}{F_{10}\! \left(x \right) F_{17}\! \left(x \right)}
F_{152}\! \left(x \right) = F_{153}\! \left(x \right)
F_{153}\! \left(x \right) = -F_{159}\! \left(x \right)+F_{154}\! \left(x \right)
F_{154}\! \left(x \right) = \frac{F_{155}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{155}\! \left(x \right) = F_{156}\! \left(x \right)
F_{156}\! \left(x \right) = -F_{157}\! \left(x \right)+F_{4}\! \left(x \right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right)
F_{158}\! \left(x \right) = F_{0} \left(x \right)^{2}
F_{159}\! \left(x \right) = -F_{162}\! \left(x \right)+F_{160}\! \left(x \right)
F_{160}\! \left(x \right) = \frac{F_{161}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{161}\! \left(x \right) = F_{5}\! \left(x \right)
F_{162}\! \left(x \right) = F_{10}\! \left(x \right)+F_{163}\! \left(x \right)
F_{163}\! \left(x \right) = -F_{91}\! \left(x \right)+F_{164}\! \left(x \right)
F_{164}\! \left(x \right) = -F_{167}\! \left(x \right)+F_{165}\! \left(x \right)
F_{165}\! \left(x \right) = \frac{F_{166}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{166}\! \left(x \right) = F_{91}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right)
F_{168}\! \left(x \right) = F_{10}\! \left(x \right) F_{169}\! \left(x \right) F_{17}\! \left(x \right)
F_{169}\! \left(x \right) = F_{2}\! \left(x \right)+F_{22}\! \left(x \right)
F_{170}\! \left(x \right) = -F_{178}\! \left(x \right)+F_{171}\! \left(x \right)
F_{171}\! \left(x \right) = -F_{176}\! \left(x \right)+F_{172}\! \left(x \right)
F_{172}\! \left(x \right) = \frac{F_{173}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{173}\! \left(x \right) = F_{174}\! \left(x \right)
F_{174}\! \left(x \right) = \frac{F_{175}\! \left(x \right)}{F_{0}\! \left(x \right) F_{17}\! \left(x \right)}
F_{175}\! \left(x \right) = F_{126}\! \left(x \right)
F_{176}\! \left(x \right) = F_{177}\! \left(x \right)
F_{177}\! \left(x \right) = F_{10}\! \left(x \right) F_{130}\! \left(x \right) F_{17}\! \left(x \right) F_{23}\! \left(x \right)
F_{178}\! \left(x \right) = -F_{184}\! \left(x \right)+F_{179}\! \left(x \right)
F_{179}\! \left(x \right) = -F_{182}\! \left(x \right)+F_{180}\! \left(x \right)
F_{180}\! \left(x \right) = \frac{F_{181}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{181}\! \left(x \right) = F_{105}\! \left(x \right)
F_{182}\! \left(x \right) = F_{183}\! \left(x \right)
F_{183}\! \left(x \right) = F_{10}\! \left(x \right) F_{17}\! \left(x \right) F_{23}\! \left(x \right) F_{25}\! \left(x \right)
F_{184}\! \left(x \right) = F_{185}\! \left(x \right)
F_{185}\! \left(x \right) = F_{114}\! \left(x \right) F_{17}\! \left(x \right) F_{23}\! \left(x \right)
F_{186}\! \left(x \right) = F_{187}\! \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_{189}\! \left(x \right) = F_{10}\! \left(x \right) F_{130}\! \left(x \right) F_{17}\! \left(x \right) F_{23}\! \left(x \right) F_{25}\! \left(x \right)
F_{190}\! \left(x \right) = F_{120}\! \left(x \right)+F_{191}\! \left(x \right)
F_{191}\! \left(x \right) = -F_{140}\! \left(x \right)+F_{192}\! \left(x \right)
F_{192}\! \left(x \right) = \frac{F_{193}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{193}\! \left(x \right) = F_{194}\! \left(x \right)
F_{194}\! \left(x \right) = F_{17}\! \left(x \right) F_{195}\! \left(x \right)
F_{195}\! \left(x \right) = F_{149}\! \left(x \right)+F_{196}\! \left(x \right)
F_{196}\! \left(x \right) = F_{184}\! \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_117(x) + F_8(x))
Eq(F_8(x), F_100(x) + F_9(x))
Eq(F_9(x), F_10(x) + F_87(x))
Eq(F_10(x), F_0(x) + F_11(x))
Eq(F_11(x), F_12(x))
Eq(F_12(x), F_13(x)*F_17(x))
Eq(F_13(x), F_14(x) + F_18(x))
Eq(F_14(x), F_0(x)*F_15(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))
Eq(F_19(x), F_10(x)*F_17(x)*F_20(x))
Eq(F_20(x), F_21(x)/F_17(x))
Eq(F_21(x), F_22(x))
Eq(F_22(x), -F_0(x) + F_23(x))
Eq(F_23(x), F_24(x) + F_44(x))
Eq(F_24(x), F_25(x) + F_28(x))
Eq(F_25(x), F_1(x) + F_26(x))
Eq(F_26(x), F_27(x))
Eq(F_27(x), F_17(x)*F_25(x))
Eq(F_28(x), F_26(x) + F_29(x))
Eq(F_29(x), F_30(x) + F_31(x) + F_43(x))
Eq(F_30(x), 0)
Eq(F_31(x), F_17(x)*F_32(x))
Eq(F_32(x), F_33(x) + F_36(x))
Eq(F_33(x), F_34(x))
Eq(F_34(x), F_17(x)*F_35(x))
Eq(F_35(x), F_1(x) + F_17(x))
Eq(F_36(x), F_30(x) + F_31(x) + F_37(x))
Eq(F_37(x), F_17(x)*F_38(x))
Eq(F_38(x), F_26(x) + F_39(x))
Eq(F_39(x), F_30(x) + F_40(x) + F_42(x))
Eq(F_40(x), F_17(x)*F_41(x))
Eq(F_41(x), F_17(x) + F_39(x))
Eq(F_42(x), F_17(x)*F_26(x))
Eq(F_43(x), F_17(x)*F_28(x))
Eq(F_44(x), F_45(x))
Eq(F_45(x), F_17(x)*F_25(x)*F_46(x))
Eq(F_46(x), F_47(x) + F_59(x))
Eq(F_47(x), F_48(x))
Eq(F_48(x), F_17(x)*F_49(x)*F_55(x))
Eq(F_49(x), F_50(x) - F_52(x))
Eq(F_50(x), F_51(x)/F_17(x))
Eq(F_51(x), F_52(x))
Eq(F_52(x), F_53(x))
Eq(F_53(x), F_17(x)*F_54(x))
Eq(F_54(x), F_5(x) + F_52(x))
Eq(F_55(x), F_25(x) + F_56(x))
Eq(F_56(x), F_26(x) + F_57(x))
Eq(F_57(x), F_30(x) + F_40(x) + F_58(x))
Eq(F_58(x), F_17(x)*F_56(x))
Eq(F_59(x), F_60(x))
Eq(F_60(x), F_17(x)*F_61(x))
Eq(F_61(x), F_62(x)/(F_0(x)*F_17(x)))
Eq(F_62(x), F_63(x))
Eq(F_63(x), F_64(x) - F_80(x))
Eq(F_64(x), F_65(x)/F_17(x))
Eq(F_65(x), F_66(x))
Eq(F_66(x), F_50(x) - F_67(x))
Eq(F_67(x), F_68(x))
Eq(F_68(x), F_17(x)*F_25(x)*F_69(x))
Eq(F_69(x), F_70(x) + F_76(x))
Eq(F_70(x), F_71(x) + F_75(x))
Eq(F_71(x), F_0(x) + F_72(x))
Eq(F_72(x), -F_52(x) + F_73(x))
Eq(F_73(x), F_74(x)/F_17(x))
Eq(F_74(x), F_52(x))
Eq(F_75(x), F_72(x))
Eq(F_76(x), F_77(x))
Eq(F_77(x), F_17(x)*F_78(x))
Eq(F_78(x), F_79(x))
Eq(F_79(x), F_10(x)*F_17(x)*F_25(x))
Eq(F_80(x), F_81(x))
Eq(F_81(x), F_17(x)*F_82(x))
Eq(F_82(x), F_83(x) + F_86(x))
Eq(F_83(x), F_52(x)*F_84(x))
Eq(F_84(x), F_4(x) + F_85(x))
Eq(F_85(x), F_10(x)*F_26(x))
Eq(F_86(x), F_4(x)*F_49(x))
Eq(F_87(x), F_88(x) - F_91(x))
Eq(F_88(x), F_89(x) - F_98(x))
Eq(F_89(x), F_90(x)/F_17(x))
Eq(F_90(x), F_91(x))
Eq(F_91(x), F_10(x) - F_92(x))
Eq(F_92(x), F_0(x) + F_93(x))
Eq(F_93(x), F_94(x))
Eq(F_94(x), F_17(x)*F_95(x))
Eq(F_95(x), F_92(x) + F_96(x))
Eq(F_96(x), F_97(x))
Eq(F_97(x), F_10(x)*F_17(x))
Eq(F_98(x), F_99(x))
Eq(F_99(x), F_17(x)*F_25(x)*F_96(x))
Eq(F_100(x), F_101(x))
Eq(F_101(x), F_102(x)*F_17(x))
Eq(F_102(x), F_103(x) - F_115(x))
Eq(F_103(x), F_104(x)/F_17(x))
Eq(F_104(x), F_105(x))
Eq(F_105(x), F_106(x))
Eq(F_106(x), F_107(x)*F_17(x))
Eq(F_107(x), F_108(x) + F_112(x))
Eq(F_108(x), F_109(x) + F_110(x))
Eq(F_109(x), F_10(x)*F_15(x))
Eq(F_110(x), F_111(x))
Eq(F_111(x), F_10(x)*F_17(x)*F_20(x)*F_25(x))
Eq(F_112(x), F_113(x))
Eq(F_113(x), F_114(x)*F_17(x)*F_20(x))
Eq(F_114(x), F_10(x) + F_105(x))
Eq(F_115(x), F_116(x))
Eq(F_116(x), F_10(x)*F_17(x)*F_25(x)**2)
Eq(F_117(x), F_118(x))
Eq(F_118(x), F_119(x)*F_17(x))
Eq(F_119(x), F_120(x) + F_142(x))
Eq(F_120(x), F_121(x) - F_139(x))
Eq(F_121(x), F_122(x) - F_128(x))
Eq(F_122(x), F_123(x)/F_17(x))
Eq(F_123(x), F_124(x))
Eq(F_124(x), F_125(x)/(F_0(x)*F_17(x)))
Eq(F_125(x), F_126(x))
Eq(F_126(x), F_0(x)*F_127(x)*F_17(x))
Eq(F_127(x), -F_10(x) + F_9(x))
Eq(F_128(x), F_129(x))
Eq(F_129(x), F_10(x)*F_130(x)*F_17(x)*F_25(x))
Eq(F_130(x), F_131(x) + F_134(x))
Eq(F_131(x), F_1(x) + F_132(x))
Eq(F_132(x), F_133(x))
Eq(F_133(x), F_131(x)*F_17(x))
Eq(F_134(x), F_135(x) + F_26(x))
Eq(F_135(x), F_136(x) + F_138(x) + F_30(x))
Eq(F_136(x), F_137(x)*F_17(x))
Eq(F_137(x), F_132(x) + F_135(x))
Eq(F_138(x), F_134(x)*F_17(x))
Eq(F_139(x), F_102(x) - F_140(x))
Eq(F_140(x), F_141(x))
Eq(F_141(x), F_114(x)*F_17(x)*F_25(x))
Eq(F_142(x), F_143(x) - F_190(x))
Eq(F_143(x), F_144(x)/F_17(x))
Eq(F_144(x), F_145(x))
Eq(F_145(x), F_146(x)*F_17(x))
Eq(F_146(x), F_147(x) + F_186(x))
Eq(F_147(x), F_148(x) + F_170(x))
Eq(F_148(x), F_149(x))
Eq(F_149(x), F_150(x))
Eq(F_150(x), F_114(x)*F_151(x)*F_17(x))
Eq(F_151(x), F_152(x)/(F_10(x)*F_17(x)))
Eq(F_152(x), F_153(x))
Eq(F_153(x), F_154(x) - F_159(x))
Eq(F_154(x), F_155(x)/F_17(x))
Eq(F_155(x), F_156(x))
Eq(F_156(x), -F_157(x) + F_4(x))
Eq(F_157(x), F_158(x))
Eq(F_158(x), F_0(x)**2)
Eq(F_159(x), F_160(x) - F_162(x))
Eq(F_160(x), F_161(x)/F_17(x))
Eq(F_161(x), F_5(x))
Eq(F_162(x), F_10(x) + F_163(x))
Eq(F_163(x), F_164(x) - F_91(x))
Eq(F_164(x), F_165(x) - F_167(x))
Eq(F_165(x), F_166(x)/F_17(x))
Eq(F_166(x), F_91(x))
Eq(F_167(x), F_168(x))
Eq(F_168(x), F_10(x)*F_169(x)*F_17(x))
Eq(F_169(x), F_2(x) + F_22(x))
Eq(F_170(x), F_171(x) - F_178(x))
Eq(F_171(x), F_172(x) - F_176(x))
Eq(F_172(x), F_173(x)/F_17(x))
Eq(F_173(x), F_174(x))
Eq(F_174(x), F_175(x)/(F_0(x)*F_17(x)))
Eq(F_175(x), F_126(x))
Eq(F_176(x), F_177(x))
Eq(F_177(x), F_10(x)*F_130(x)*F_17(x)*F_23(x))
Eq(F_178(x), F_179(x) - F_184(x))
Eq(F_179(x), F_180(x) - F_182(x))
Eq(F_180(x), F_181(x)/F_17(x))
Eq(F_181(x), F_105(x))
Eq(F_182(x), F_183(x))
Eq(F_183(x), F_10(x)*F_17(x)*F_23(x)*F_25(x))
Eq(F_184(x), F_185(x))
Eq(F_185(x), F_114(x)*F_17(x)*F_23(x))
Eq(F_186(x), F_187(x))
Eq(F_187(x), F_17(x)*F_188(x))
Eq(F_188(x), F_189(x))
Eq(F_189(x), F_10(x)*F_130(x)*F_17(x)*F_23(x)*F_25(x))
Eq(F_190(x), F_120(x) + F_191(x))
Eq(F_191(x), -F_140(x) + F_192(x))
Eq(F_192(x), F_193(x)/F_17(x))
Eq(F_193(x), F_194(x))
Eq(F_194(x), F_17(x)*F_195(x))
Eq(F_195(x), F_149(x) + F_196(x))
Eq(F_196(x), F_184(x))
Pack JSON:
{"name": "requirement_placements", "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": [], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [], "symmetry": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementInsertionFactory", "ignore_parent": false, "maxreqlen": 2, "extra_basis": [], "limited_insertion": true, "allow_factorable_insertions": true}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"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, 1, 3, 2], "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": [3, 0, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "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, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[2, 0]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [2, 3, 0, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [2, 3, 1, 0], "pos": [[0, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [2, 3, 1, 0], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [3, 0, 2, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [3, 2, 0, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [3, 2, 1, 0], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [0, 4, 1, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 1, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [0, 4, 1, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [0, 4, 1, 3, 2], "pos": [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [0, 4, 3, 1, 2], 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{"patt": [0, 1, 3, 4, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [2, 2], [3, 2]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 4, 1, 3, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 1, 3, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {"patt": [0, 4, 1, 3, 2], "pos": [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {"patt": [0, 4, 1, 3, 2], "pos": [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [0, 4, 1, 3, 2], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [2, 2], [3, 2]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 2], [0, 2], [2, 2], [2, 2], [3, 2]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [3, 0, 1, 4, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [3, 0, 1, 4, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {"patt": [3, 0, 1, 4, 2], "pos": [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {"patt": [3, 0, 1, 4, 2], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [2, 2], [3, 2]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}], "indices": [0], "direction": 3, "own_col": true, "own_row": true, "include_empty": false}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalenceRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}], "indices": [0], "direction": 2, "own_col": true, "own_row": true, "include_empty": true}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalenceRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}], "indices": [0], "direction": 2, "own_col": true, "own_row": true, "include_empty": true}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalenceRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [2, 1, 0], "pos": [[0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[1, 0], [1, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}], "indices": [0], "direction": 2, "own_col": true, "own_row": true, "include_empty": true}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}]}
Specification 3
Strategy pack name: point_and_row_placements_req_corrob
Tree: http://permpal.com/tree/24533/
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[32,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[262,x]+F[6,x]+F[7,x]
F[6,x] = 0
F[7,x] = -F[1,x]-F[260,x]+F[8,x]
F[8,x] = F[0,x]+F[9,x]
F[9,x] = F[10,x]
F[10,x] = F[11,x]*F[32,x]
F[11,x] = F[12,x]+F[255,x]
F[12,x] = F[116,x]+F[13,x]
F[13,x] = F[0,x]+F[14,x]
F[14,x] = F[15,x]+F[2,x]
F[15,x] = F[16,x]
F[16,x] = F[17,x]*F[32,x]
F[17,x] = F[109,x]+F[18,x]
F[18,x] = F[19,x]
F[19,x] = F[20,x]*F[32,x]
F[20,x] = F[108,x]+F[21,x]
F[21,x] = F[22,x]+F[84,x]+F[88,x]
F[22,x] = F[1,x]+F[107,x]+F[23,x]
F[23,x] = F[24,x]*F[32,x]
F[24,x] = 1/F[32,x]*F[25,x]
F[25,x] = -F[1,x]-F[26,x]+F[4,x]
F[26,x] = F[27,x]*F[32,x]
F[27,x] = F[1,x]+F[106,x]+F[28,x]+F[36,x]
F[28,x] = F[29,x]*F[32,x]
F[29,x] = 1/F[32,x]*F[30,x]
F[30,x] = -F[1,x]-F[33,x]-F[57,x]+F[31,x]
F[31,x] = 1/F[32,x]*F[7,x]
F[32,x] = x
F[33,x] = F[32,x]*F[34,x]
F[34,x] = F[35,x]+F[41,x]
F[35,x] = F[1,x]+F[28,x]+F[36,x]+F[37,x]
F[36,x] = F[32,x]*F[34,x]
F[37,x] = F[32,x]*F[38,x]
F[38,x] = F[1,x]+F[39,x]
F[39,x] = F[40,x]
F[40,x] = F[32,x]*F[38,x]
F[41,x] = F[42,x]+F[43,x]
F[42,x] = -F[22,x]+F[27,x]
F[43,x] = F[44,x]
F[44,x] = F[32,x]*F[45,x]
F[45,x] = F[43,x]+F[46,x]
F[46,x] = F[37,x]+F[47,x]+F[56,x]+F[6,x]
F[47,x] = F[32,x]*F[48,x]
F[48,x] = F[49,x]
F[49,x] = -F[29,x]+F[50,x]
F[50,x] = 1/F[32,x]*F[51,x]
F[51,x] = -F[1,x]-F[37,x]-F[52,x]-F[55,x]+F[34,x]
F[52,x] = F[32,x]*F[53,x]
F[53,x] = F[34,x]+F[54,x]
F[54,x] = F[45,x]
F[55,x] = F[32,x]*F[53,x]
F[56,x] = F[32,x]*F[45,x]
F[57,x] = F[32,x]*F[58,x]
F[58,x] = F[59,x]+F[69,x]
F[59,x] = F[1,x]+F[60,x]+F[61,x]+F[65,x]
F[60,x] = F[32,x]*F[58,x]
F[61,x] = F[62,x]
F[62,x] = F[32,x]*F[63,x]
F[63,x] = F[24,x]+F[64,x]
F[64,x] = F[39,x]*F[59,x]
F[65,x] = F[66,x]
F[66,x] = F[32,x]*F[67,x]
F[67,x] = F[27,x]+F[68,x]
F[68,x] = F[35,x]*F[39,x]
F[69,x] = F[70,x]
F[70,x] = F[32,x]*F[71,x]
F[71,x] = F[103,x]+F[72,x]
F[72,x] = F[101,x]+F[73,x]
F[73,x] = 1/F[32,x]*F[74,x]
F[74,x] = -F[24,x]-F[98,x]+F[75,x]
F[75,x] = F[76,x]+F[77,x]
F[76,x] = F[0,x]*F[24,x]
F[77,x] = F[78,x]+F[9,x]+F[95,x]+F[97,x]
F[78,x] = F[79,x]
F[79,x] = F[0,x]*F[32,x]*F[80,x]
F[80,x] = F[81,x]+F[93,x]
F[81,x] = F[82,x]
F[82,x] = F[32,x]*F[83,x]*F[90,x]
F[83,x] = F[38,x]+F[84,x]+F[88,x]
F[84,x] = F[85,x]
F[85,x] = F[32,x]*F[86,x]
F[86,x] = 1/F[32,x]*F[87,x]
F[87,x] = F[48,x]
F[88,x] = F[89,x]
F[89,x] = F[32,x]*F[83,x]*F[90,x]
F[90,x] = F[1,x]+F[91,x]
F[91,x] = F[92,x]
F[92,x] = F[32,x]*F[90,x]
F[93,x] = F[94,x]
F[94,x] = F[32,x]*F[86,x]
F[95,x] = F[96,x]
F[96,x] = F[0,x]*F[32,x]*F[81,x]
F[97,x] = F[32,x]*F[77,x]
F[98,x] = F[99,x]
F[99,x] = F[100,x]*F[32,x]*F[90,x]
F[100,x] = F[20,x]+F[46,x]
F[101,x] = F[102,x]
F[102,x] = F[32,x]*F[35,x]*F[86,x]
F[103,x] = F[104,x]
F[104,x] = F[105,x]
F[105,x] = F[32,x]*F[59,x]*F[86,x]
F[106,x] = F[32,x]*F[34,x]
F[107,x] = F[27,x]*F[32,x]
F[108,x] = F[83,x]*F[91,x]
F[109,x] = F[110,x]+F[112,x]+F[6,x]
F[110,x] = F[111,x]
F[111,x] = F[32,x]*F[42,x]
F[112,x] = F[113,x]*F[32,x]
F[113,x] = 1/F[32,x]*F[114,x]
F[114,x] = F[115,x]
F[115,x] = -F[4,x]+F[24,x]
F[116,x] = F[117,x]
F[117,x] = F[118,x]*F[32,x]
F[118,x] = F[119,x]+F[138,x]
F[119,x] = F[120,x]+F[59,x]
F[120,x] = F[121,x]*F[32,x]
F[121,x] = -F[132,x]+F[122,x]
F[122,x] = -F[125,x]+F[123,x]
F[123,x] = 1/F[32,x]*F[124,x]
F[124,x] = F[69,x]
F[125,x] = F[126,x]
F[126,x] = F[127,x]+F[130,x]+F[131,x]+F[6,x]
F[127,x] = F[128,x]*F[32,x]
F[128,x] = F[129,x]
F[129,x] = F[32,x]*F[59,x]*F[83,x]*F[90,x]
F[130,x] = F[104,x]*F[32,x]
F[131,x] = F[32,x]*F[4,x]*F[59,x]
F[132,x] = F[133,x]+F[136,x]+F[137,x]+F[6,x]
F[133,x] = F[134,x]*F[32,x]
F[134,x] = F[135,x]
F[135,x] = F[32,x]*F[35,x]*F[83,x]*F[90,x]
F[136,x] = F[101,x]*F[32,x]
F[137,x] = F[32,x]*F[35,x]*F[4,x]
F[138,x] = F[139,x]
F[139,x] = F[140,x]*F[32,x]
F[140,x] = 1/F[0,x]/F[32,x]*F[141,x]
F[141,x] = F[142,x]
F[142,x] = F[143,x]+F[251,x]+F[6,x]
F[143,x] = -F[231,x]-F[6,x]+F[144,x]
F[144,x] = -F[147,x]+F[145,x]
F[145,x] = 1/F[32,x]*F[146,x]
F[146,x] = F[15,x]
F[147,x] = F[148,x]+F[149,x]
F[148,x] = F[0,x]*F[2,x]
F[149,x] = F[150,x]
F[150,x] = F[151,x]*F[32,x]
F[151,x] = F[152,x]+F[153,x]
F[152,x] = F[22,x]*F[5,x]
F[153,x] = F[0,x]*F[154,x]
F[154,x] = F[155,x]
F[155,x] = F[156,x]*F[32,x]
F[156,x] = F[157,x]+F[171,x]
F[157,x] = -F[161,x]+F[158,x]
F[158,x] = 1/F[32,x]*F[159,x]
F[159,x] = F[160,x]
F[160,x] = -F[8,x]+F[31,x]
F[161,x] = F[162,x]
F[162,x] = F[163,x]*F[165,x]*F[32,x]*F[8,x]
F[163,x] = F[0,x]+F[164,x]
F[164,x] = F[32,x]*F[83,x]
F[165,x] = F[166,x]+F[90,x]
F[166,x] = F[167,x]+F[39,x]
F[167,x] = F[168,x]+F[170,x]+F[6,x]
F[168,x] = F[169,x]*F[32,x]
F[169,x] = F[167,x]+F[91,x]
F[170,x] = F[166,x]*F[32,x]
F[171,x] = F[172,x]
F[172,x] = F[173,x]*F[32,x]
F[173,x] = F[174,x]+F[227,x]
F[174,x] = F[175,x]*F[38,x]
F[175,x] = F[176,x]+F[225,x]
F[176,x] = F[177,x]+F[8,x]
F[177,x] = F[178,x]+F[221,x]+F[223,x]+F[6,x]
F[178,x] = -F[1,x]-F[179,x]-F[215,x]+F[31,x]
F[179,x] = F[180,x]*F[32,x]
F[180,x] = F[181,x]+F[31,x]
F[181,x] = F[182,x]
F[182,x] = F[183,x]*F[32,x]
F[183,x] = 1/F[32,x]*F[184,x]
F[184,x] = -F[187,x]-F[199,x]-F[214,x]-F[8,x]+F[185,x]
F[185,x] = 1/F[32,x]*F[186,x]
F[186,x] = F[154,x]
F[187,x] = F[188,x]*F[32,x]
F[188,x] = F[189,x]+F[193,x]
F[189,x] = F[190,x]+F[191,x]
F[190,x] = F[24,x]*F[8,x]
F[191,x] = F[192,x]
F[192,x] = F[176,x]*F[32,x]*F[86,x]
F[193,x] = F[194,x]
F[194,x] = F[195,x]+F[196,x]+F[48,x]
F[195,x] = F[194,x]*F[32,x]
F[196,x] = F[197,x]
F[197,x] = F[198,x]*F[32,x]
F[198,x] = F[101,x]+F[103,x]
F[199,x] = F[200,x]*F[32,x]
F[200,x] = F[201,x]+F[212,x]
F[201,x] = F[202,x]+F[206,x]+F[210,x]+F[211,x]+F[8,x]
F[202,x] = F[203,x]*F[32,x]
F[203,x] = F[189,x]+F[204,x]
F[204,x] = F[205,x]
F[205,x] = F[48,x]*F[8,x]
F[206,x] = F[207,x]*F[32,x]
F[207,x] = F[201,x]+F[208,x]
F[208,x] = F[209,x]
F[209,x] = F[45,x]*F[8,x]
F[210,x] = F[207,x]*F[32,x]
F[211,x] = F[176,x]*F[32,x]*F[38,x]
F[212,x] = F[213,x]
F[213,x] = F[32,x]*F[38,x]*F[8,x]*F[83,x]*F[90,x]
F[214,x] = F[176,x]*F[32,x]*F[38,x]
F[215,x] = F[216,x]
F[216,x] = F[217,x]*F[32,x]
F[217,x] = F[218,x]+F[220,x]
F[218,x] = F[219,x]+F[4,x]
F[219,x] = F[39,x]*F[8,x]
F[220,x] = F[38,x]*F[39,x]*F[8,x]
F[221,x] = F[222,x]
F[222,x] = F[176,x]*F[32,x]*F[39,x]
F[223,x] = F[224,x]
F[224,x] = F[32,x]*F[38,x]*F[39,x]*F[8,x]
F[225,x] = F[226,x]
F[226,x] = F[165,x]*F[32,x]*F[38,x]*F[8,x]
F[227,x] = F[228,x]
F[228,x] = F[165,x]*F[229,x]*F[32,x]*F[8,x]
F[229,x] = F[230,x]+F[93,x]
F[230,x] = F[4,x]+F[81,x]
F[231,x] = F[232,x]
F[232,x] = F[233,x]*F[32,x]
F[233,x] = F[234,x]+F[240,x]
F[234,x] = F[235,x]+F[239,x]
F[235,x] = F[236,x]+F[237,x]
F[236,x] = F[0,x]*F[8,x]
F[237,x] = F[238,x]
F[238,x] = F[0,x]*F[140,x]*F[32,x]*F[38,x]
F[239,x] = F[0,x]*F[160,x]
F[240,x] = 2*F[6,x]+F[241,x]+F[243,x]
F[241,x] = F[242,x]
F[242,x] = F[235,x]*F[32,x]*F[38,x]
F[243,x] = F[244,x]
F[244,x] = F[245,x]*F[32,x]*F[38,x]
F[245,x] = 2*F[6,x]+F[246,x]+F[250,x]
F[246,x] = F[247,x]
F[247,x] = F[38,x]^2*F[248,x]*F[32,x]
F[248,x] = F[142,x]+F[249,x]
F[249,x] = F[0,x]^2
F[250,x] = F[244,x]
F[251,x] = F[252,x]
F[252,x] = F[253,x]*F[32,x]
F[253,x] = F[245,x]+F[254,x]
F[254,x] = F[248,x]*F[38,x]
F[255,x] = F[256,x]+F[259,x]+F[6,x]
F[256,x] = F[257,x]*F[32,x]
F[257,x] = F[258,x]
F[258,x] = F[229,x]*F[32,x]*F[8,x]
F[259,x] = F[32,x]*F[38,x]*F[8,x]
F[260,x] = F[261,x]
F[261,x] = F[218,x]*F[32,x]
F[262,x] = F[154,x]*F[32,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_{32}\! \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_{262}\! \left(x \right)+F_{6}\! \left(x \right)+F_{7}\! \left(x \right)
F_{6}\! \left(x \right) = 0
F_{7}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{260}\! \left(x \right)+F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{0}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right) F_{32}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)+F_{255}\! \left(x \right)
F_{12}\! \left(x \right) = F_{116}\! \left(x \right)+F_{13}\! \left(x \right)
F_{13}\! \left(x \right) = F_{0}\! \left(x \right)+F_{14}\! \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_{16}\! \left(x \right) = F_{17}\! \left(x \right) F_{32}\! \left(x \right)
F_{17}\! \left(x \right) = F_{109}\! \left(x \right)+F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right) F_{32}\! \left(x \right)
F_{20}\! \left(x \right) = F_{108}\! \left(x \right)+F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)+F_{84}\! \left(x \right)+F_{88}\! \left(x \right)
F_{22}\! \left(x \right) = F_{1}\! \left(x \right)+F_{107}\! \left(x \right)+F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right) F_{32}\! \left(x \right)
F_{24}\! \left(x \right) = \frac{F_{25}\! \left(x \right)}{F_{32}\! \left(x \right)}
F_{25}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{26}\! \left(x \right)+F_{4}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right) F_{32}\! \left(x \right)
F_{27}\! \left(x \right) = F_{1}\! \left(x \right)+F_{106}\! \left(x \right)+F_{28}\! \left(x \right)+F_{36}\! \left(x \right)
F_{28}\! \left(x \right) = F_{29}\! \left(x \right) F_{32}\! \left(x \right)
F_{29}\! \left(x \right) = \frac{F_{30}\! \left(x \right)}{F_{32}\! \left(x \right)}
F_{30}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{33}\! \left(x \right)-F_{57}\! \left(x \right)+F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = \frac{F_{7}\! \left(x \right)}{F_{32}\! \left(x \right)}
F_{32}\! \left(x \right) = x
F_{33}\! \left(x \right) = F_{32}\! \left(x \right) F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)+F_{41}\! \left(x \right)
F_{35}\! \left(x \right) = F_{1}\! \left(x \right)+F_{28}\! \left(x \right)+F_{36}\! \left(x \right)+F_{37}\! \left(x \right)
F_{36}\! \left(x \right) = F_{32}\! \left(x \right) F_{34}\! \left(x \right)
F_{37}\! \left(x \right) = F_{32}\! \left(x \right) F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{1}\! \left(x \right)+F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{32}\! \left(x \right) F_{38}\! \left(x \right)
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)+F_{43}\! \left(x \right)
F_{42}\! \left(x \right) = -F_{22}\! \left(x \right)+F_{27}\! \left(x \right)
F_{43}\! \left(x \right) = F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{32}\! \left(x \right) F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{43}\! \left(x \right)+F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{37}\! \left(x \right)+F_{47}\! \left(x \right)+F_{56}\! \left(x \right)+F_{6}\! \left(x \right)
F_{47}\! \left(x \right) = F_{32}\! \left(x \right) F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = -F_{29}\! \left(x \right)+F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = \frac{F_{51}\! \left(x \right)}{F_{32}\! \left(x \right)}
F_{51}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{37}\! \left(x \right)-F_{52}\! \left(x \right)-F_{55}\! \left(x \right)+F_{34}\! \left(x \right)
F_{52}\! \left(x \right) = F_{32}\! \left(x \right) F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{34}\! \left(x \right)+F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{45}\! \left(x \right)
F_{55}\! \left(x \right) = F_{32}\! \left(x \right) F_{53}\! \left(x \right)
F_{56}\! \left(x \right) = F_{32}\! \left(x \right) F_{45}\! \left(x \right)
F_{57}\! \left(x \right) = F_{32}\! \left(x \right) F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{59}\! \left(x \right)+F_{69}\! \left(x \right)
F_{59}\! \left(x \right) = F_{1}\! \left(x \right)+F_{60}\! \left(x \right)+F_{61}\! \left(x \right)+F_{65}\! \left(x \right)
F_{60}\! \left(x \right) = F_{32}\! \left(x \right) F_{58}\! \left(x \right)
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{32}\! \left(x \right) F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{24}\! \left(x \right)+F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{39}\! \left(x \right) F_{59}\! \left(x \right)
F_{65}\! \left(x \right) = F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{32}\! \left(x \right) F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{27}\! \left(x \right)+F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{35}\! \left(x \right) F_{39}\! \left(x \right)
F_{69}\! \left(x \right) = F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{32}\! \left(x \right) F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{103}\! \left(x \right)+F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{101}\! \left(x \right)+F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = \frac{F_{74}\! \left(x \right)}{F_{32}\! \left(x \right)}
F_{74}\! \left(x \right) = -F_{24}\! \left(x \right)-F_{98}\! \left(x \right)+F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{76}\! \left(x \right)+F_{77}\! \left(x \right)
F_{76}\! \left(x \right) = F_{0}\! \left(x \right) F_{24}\! \left(x \right)
F_{77}\! \left(x \right) = F_{78}\! \left(x \right)+F_{9}\! \left(x \right)+F_{95}\! \left(x \right)+F_{97}\! \left(x \right)
F_{78}\! \left(x \right) = F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{0}\! \left(x \right) F_{32}\! \left(x \right) F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{81}\! \left(x \right)+F_{93}\! \left(x \right)
F_{81}\! \left(x \right) = F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{32}\! \left(x \right) F_{83}\! \left(x \right) F_{90}\! \left(x \right)
F_{83}\! \left(x \right) = F_{38}\! \left(x \right)+F_{84}\! \left(x \right)+F_{88}\! \left(x \right)
F_{84}\! \left(x \right) = F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{32}\! \left(x \right) F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = \frac{F_{87}\! \left(x \right)}{F_{32}\! \left(x \right)}
F_{87}\! \left(x \right) = F_{48}\! \left(x \right)
F_{88}\! \left(x \right) = F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{32}\! \left(x \right) F_{83}\! \left(x \right) F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{1}\! \left(x \right)+F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{32}\! \left(x \right) F_{90}\! \left(x \right)
F_{93}\! \left(x \right) = F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{32}\! \left(x \right) F_{86}\! \left(x \right)
F_{95}\! \left(x \right) = F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{0}\! \left(x \right) F_{32}\! \left(x \right) F_{81}\! \left(x \right)
F_{97}\! \left(x \right) = F_{32}\! \left(x \right) F_{77}\! \left(x \right)
F_{98}\! \left(x \right) = F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right) F_{32}\! \left(x \right) F_{90}\! \left(x \right)
F_{100}\! \left(x \right) = F_{20}\! \left(x \right)+F_{46}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right)
F_{102}\! \left(x \right) = F_{32}\! \left(x \right) F_{35}\! \left(x \right) F_{86}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x \right)
F_{105}\! \left(x \right) = F_{32}\! \left(x \right) F_{59}\! \left(x \right) F_{86}\! \left(x \right)
F_{106}\! \left(x \right) = F_{32}\! \left(x \right) F_{34}\! \left(x \right)
F_{107}\! \left(x \right) = F_{27}\! \left(x \right) F_{32}\! \left(x \right)
F_{108}\! \left(x \right) = F_{83}\! \left(x \right) F_{91}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right)+F_{112}\! \left(x \right)+F_{6}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right)
F_{111}\! \left(x \right) = F_{32}\! \left(x \right) F_{42}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right) F_{32}\! \left(x \right)
F_{113}\! \left(x \right) = \frac{F_{114}\! \left(x \right)}{F_{32}\! \left(x \right)}
F_{114}\! \left(x \right) = F_{115}\! \left(x \right)
F_{115}\! \left(x \right) = -F_{4}\! \left(x \right)+F_{24}\! \left(x \right)
F_{116}\! \left(x \right) = F_{117}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right) F_{32}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right)+F_{138}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)+F_{59}\! \left(x \right)
F_{120}\! \left(x \right) = F_{121}\! \left(x \right) F_{32}\! \left(x \right)
F_{121}\! \left(x \right) = -F_{132}\! \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_{32}\! \left(x \right)}
F_{124}\! \left(x \right) = F_{69}\! \left(x \right)
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right)+F_{130}\! \left(x \right)+F_{131}\! \left(x \right)+F_{6}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right) F_{32}\! \left(x \right)
F_{128}\! \left(x \right) = F_{129}\! \left(x \right)
F_{129}\! \left(x \right) = F_{32}\! \left(x \right) F_{59}\! \left(x \right) F_{83}\! \left(x \right) F_{90}\! \left(x \right)
F_{130}\! \left(x \right) = F_{104}\! \left(x \right) F_{32}\! \left(x \right)
F_{131}\! \left(x \right) = F_{32}\! \left(x \right) F_{4}\! \left(x \right) F_{59}\! \left(x \right)
F_{132}\! \left(x \right) = F_{133}\! \left(x \right)+F_{136}\! \left(x \right)+F_{137}\! \left(x \right)+F_{6}\! \left(x \right)
F_{133}\! \left(x \right) = F_{134}\! \left(x \right) F_{32}\! \left(x \right)
F_{134}\! \left(x \right) = F_{135}\! \left(x \right)
F_{135}\! \left(x \right) = F_{32}\! \left(x \right) F_{35}\! \left(x \right) F_{83}\! \left(x \right) F_{90}\! \left(x \right)
F_{136}\! \left(x \right) = F_{101}\! \left(x \right) F_{32}\! \left(x \right)
F_{137}\! \left(x \right) = F_{32}\! \left(x \right) F_{35}\! \left(x \right) F_{4}\! \left(x \right)
F_{138}\! \left(x \right) = F_{139}\! \left(x \right)
F_{139}\! \left(x \right) = F_{140}\! \left(x \right) F_{32}\! \left(x \right)
F_{140}\! \left(x \right) = \frac{F_{141}\! \left(x \right)}{F_{0}\! \left(x \right) F_{32}\! \left(x \right)}
F_{141}\! \left(x \right) = F_{142}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right)+F_{251}\! \left(x \right)+F_{6}\! \left(x \right)
F_{143}\! \left(x \right) = -F_{231}\! \left(x \right)-F_{6}\! \left(x \right)+F_{144}\! \left(x \right)
F_{144}\! \left(x \right) = -F_{147}\! \left(x \right)+F_{145}\! \left(x \right)
F_{145}\! \left(x \right) = \frac{F_{146}\! \left(x \right)}{F_{32}\! \left(x \right)}
F_{146}\! \left(x \right) = F_{15}\! \left(x \right)
F_{147}\! \left(x \right) = F_{148}\! \left(x \right)+F_{149}\! \left(x \right)
F_{148}\! \left(x \right) = F_{0}\! \left(x \right) F_{2}\! \left(x \right)
F_{149}\! \left(x \right) = F_{150}\! \left(x \right)
F_{150}\! \left(x \right) = F_{151}\! \left(x \right) F_{32}\! \left(x \right)
F_{151}\! \left(x \right) = F_{152}\! \left(x \right)+F_{153}\! \left(x \right)
F_{152}\! \left(x \right) = F_{22}\! \left(x \right) F_{5}\! \left(x \right)
F_{153}\! \left(x \right) = F_{0}\! \left(x \right) F_{154}\! \left(x \right)
F_{154}\! \left(x \right) = F_{155}\! \left(x \right)
F_{155}\! \left(x \right) = F_{156}\! \left(x \right) F_{32}\! \left(x \right)
F_{156}\! \left(x \right) = F_{157}\! \left(x \right)+F_{171}\! \left(x \right)
F_{157}\! \left(x \right) = -F_{161}\! \left(x \right)+F_{158}\! \left(x \right)
F_{158}\! \left(x \right) = \frac{F_{159}\! \left(x \right)}{F_{32}\! \left(x \right)}
F_{159}\! \left(x \right) = F_{160}\! \left(x \right)
F_{160}\! \left(x \right) = -F_{8}\! \left(x \right)+F_{31}\! \left(x \right)
F_{161}\! \left(x \right) = F_{162}\! \left(x \right)
F_{162}\! \left(x \right) = F_{163}\! \left(x \right) F_{165}\! \left(x \right) F_{32}\! \left(x \right) F_{8}\! \left(x \right)
F_{163}\! \left(x \right) = F_{0}\! \left(x \right)+F_{164}\! \left(x \right)
F_{164}\! \left(x \right) = F_{32}\! \left(x \right) F_{83}\! \left(x \right)
F_{165}\! \left(x \right) = F_{166}\! \left(x \right)+F_{90}\! \left(x \right)
F_{166}\! \left(x \right) = F_{167}\! \left(x \right)+F_{39}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right)+F_{170}\! \left(x \right)+F_{6}\! \left(x \right)
F_{168}\! \left(x \right) = F_{169}\! \left(x \right) F_{32}\! \left(x \right)
F_{169}\! \left(x \right) = F_{167}\! \left(x \right)+F_{91}\! \left(x \right)
F_{170}\! \left(x \right) = F_{166}\! \left(x \right) F_{32}\! \left(x \right)
F_{171}\! \left(x \right) = F_{172}\! \left(x \right)
F_{172}\! \left(x \right) = F_{173}\! \left(x \right) F_{32}\! \left(x \right)
F_{173}\! \left(x \right) = F_{174}\! \left(x \right)+F_{227}\! \left(x \right)
F_{174}\! \left(x \right) = F_{175}\! \left(x \right) F_{38}\! \left(x \right)
F_{175}\! \left(x \right) = F_{176}\! \left(x \right)+F_{225}\! \left(x \right)
F_{176}\! \left(x \right) = F_{177}\! \left(x \right)+F_{8}\! \left(x \right)
F_{177}\! \left(x \right) = F_{178}\! \left(x \right)+F_{221}\! \left(x \right)+F_{223}\! \left(x \right)+F_{6}\! \left(x \right)
F_{178}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{179}\! \left(x \right)-F_{215}\! \left(x \right)+F_{31}\! \left(x \right)
F_{179}\! \left(x \right) = F_{180}\! \left(x \right) F_{32}\! \left(x \right)
F_{180}\! \left(x \right) = F_{181}\! \left(x \right)+F_{31}\! \left(x \right)
F_{181}\! \left(x \right) = F_{182}\! \left(x \right)
F_{182}\! \left(x \right) = F_{183}\! \left(x \right) F_{32}\! \left(x \right)
F_{183}\! \left(x \right) = \frac{F_{184}\! \left(x \right)}{F_{32}\! \left(x \right)}
F_{184}\! \left(x \right) = -F_{187}\! \left(x \right)-F_{199}\! \left(x \right)-F_{214}\! \left(x \right)-F_{8}\! \left(x \right)+F_{185}\! \left(x \right)
F_{185}\! \left(x \right) = \frac{F_{186}\! \left(x \right)}{F_{32}\! \left(x \right)}
F_{186}\! \left(x \right) = F_{154}\! \left(x \right)
F_{187}\! \left(x \right) = F_{188}\! \left(x \right) F_{32}\! \left(x \right)
F_{188}\! \left(x \right) = F_{189}\! \left(x \right)+F_{193}\! \left(x \right)
F_{189}\! \left(x \right) = F_{190}\! \left(x \right)+F_{191}\! \left(x \right)
F_{190}\! \left(x \right) = F_{24}\! \left(x \right) F_{8}\! \left(x \right)
F_{191}\! \left(x \right) = F_{192}\! \left(x \right)
F_{192}\! \left(x \right) = F_{176}\! \left(x \right) F_{32}\! \left(x \right) F_{86}\! \left(x \right)
F_{193}\! \left(x \right) = F_{194}\! \left(x \right)
F_{194}\! \left(x \right) = F_{195}\! \left(x \right)+F_{196}\! \left(x \right)+F_{48}\! \left(x \right)
F_{195}\! \left(x \right) = F_{194}\! \left(x \right) F_{32}\! \left(x \right)
F_{196}\! \left(x \right) = F_{197}\! \left(x \right)
F_{197}\! \left(x \right) = F_{198}\! \left(x \right) F_{32}\! \left(x \right)
F_{198}\! \left(x \right) = F_{101}\! \left(x \right)+F_{103}\! \left(x \right)
F_{199}\! \left(x \right) = F_{200}\! \left(x \right) F_{32}\! \left(x \right)
F_{200}\! \left(x \right) = F_{201}\! \left(x \right)+F_{212}\! \left(x \right)
F_{201}\! \left(x \right) = F_{202}\! \left(x \right)+F_{206}\! \left(x \right)+F_{210}\! \left(x \right)+F_{211}\! \left(x \right)+F_{8}\! \left(x \right)
F_{202}\! \left(x \right) = F_{203}\! \left(x \right) F_{32}\! \left(x \right)
F_{203}\! \left(x \right) = F_{189}\! \left(x \right)+F_{204}\! \left(x \right)
F_{204}\! \left(x \right) = F_{205}\! \left(x \right)
F_{205}\! \left(x \right) = F_{48}\! \left(x \right) F_{8}\! \left(x \right)
F_{206}\! \left(x \right) = F_{207}\! \left(x \right) F_{32}\! \left(x \right)
F_{207}\! \left(x \right) = F_{201}\! \left(x \right)+F_{208}\! \left(x \right)
F_{208}\! \left(x \right) = F_{209}\! \left(x \right)
F_{209}\! \left(x \right) = F_{45}\! \left(x \right) F_{8}\! \left(x \right)
F_{210}\! \left(x \right) = F_{207}\! \left(x \right) F_{32}\! \left(x \right)
F_{211}\! \left(x \right) = F_{176}\! \left(x \right) F_{32}\! \left(x \right) F_{38}\! \left(x \right)
F_{212}\! \left(x \right) = F_{213}\! \left(x \right)
F_{213}\! \left(x \right) = F_{32}\! \left(x \right) F_{38}\! \left(x \right) F_{8}\! \left(x \right) F_{83}\! \left(x \right) F_{90}\! \left(x \right)
F_{214}\! \left(x \right) = F_{176}\! \left(x \right) F_{32}\! \left(x \right) F_{38}\! \left(x \right)
F_{215}\! \left(x \right) = F_{216}\! \left(x \right)
F_{216}\! \left(x \right) = F_{217}\! \left(x \right) F_{32}\! \left(x \right)
F_{217}\! \left(x \right) = F_{218}\! \left(x \right)+F_{220}\! \left(x \right)
F_{218}\! \left(x \right) = F_{219}\! \left(x \right)+F_{4}\! \left(x \right)
F_{219}\! \left(x \right) = F_{39}\! \left(x \right) F_{8}\! \left(x \right)
F_{220}\! \left(x \right) = F_{38}\! \left(x \right) F_{39}\! \left(x \right) F_{8}\! \left(x \right)
F_{221}\! \left(x \right) = F_{222}\! \left(x \right)
F_{222}\! \left(x \right) = F_{176}\! \left(x \right) F_{32}\! \left(x \right) F_{39}\! \left(x \right)
F_{223}\! \left(x \right) = F_{224}\! \left(x \right)
F_{224}\! \left(x \right) = F_{32}\! \left(x \right) F_{38}\! \left(x \right) F_{39}\! \left(x \right) F_{8}\! \left(x \right)
F_{225}\! \left(x \right) = F_{226}\! \left(x \right)
F_{226}\! \left(x \right) = F_{165}\! \left(x \right) F_{32}\! \left(x \right) F_{38}\! \left(x \right) F_{8}\! \left(x \right)
F_{227}\! \left(x \right) = F_{228}\! \left(x \right)
F_{228}\! \left(x \right) = F_{165}\! \left(x \right) F_{229}\! \left(x \right) F_{32}\! \left(x \right) F_{8}\! \left(x \right)
F_{229}\! \left(x \right) = F_{230}\! \left(x \right)+F_{93}\! \left(x \right)
F_{230}\! \left(x \right) = F_{4}\! \left(x \right)+F_{81}\! \left(x \right)
F_{231}\! \left(x \right) = F_{232}\! \left(x \right)
F_{232}\! \left(x \right) = F_{233}\! \left(x \right) F_{32}\! \left(x \right)
F_{233}\! \left(x \right) = F_{234}\! \left(x \right)+F_{240}\! \left(x \right)
F_{234}\! \left(x \right) = F_{235}\! \left(x \right)+F_{239}\! \left(x \right)
F_{235}\! \left(x \right) = F_{236}\! \left(x \right)+F_{237}\! \left(x \right)
F_{236}\! \left(x \right) = F_{0}\! \left(x \right) F_{8}\! \left(x \right)
F_{237}\! \left(x \right) = F_{238}\! \left(x \right)
F_{238}\! \left(x \right) = F_{0}\! \left(x \right) F_{140}\! \left(x \right) F_{32}\! \left(x \right) F_{38}\! \left(x \right)
F_{239}\! \left(x \right) = F_{0}\! \left(x \right) F_{160}\! \left(x \right)
F_{240}\! \left(x \right) = 2 F_{6}\! \left(x \right)+F_{241}\! \left(x \right)+F_{243}\! \left(x \right)
F_{241}\! \left(x \right) = F_{242}\! \left(x \right)
F_{242}\! \left(x \right) = F_{235}\! \left(x \right) F_{32}\! \left(x \right) F_{38}\! \left(x \right)
F_{243}\! \left(x \right) = F_{244}\! \left(x \right)
F_{244}\! \left(x \right) = F_{245}\! \left(x \right) F_{32}\! \left(x \right) F_{38}\! \left(x \right)
F_{245}\! \left(x \right) = 2 F_{6}\! \left(x \right)+F_{246}\! \left(x \right)+F_{250}\! \left(x \right)
F_{246}\! \left(x \right) = F_{247}\! \left(x \right)
F_{247}\! \left(x \right) = F_{38} \left(x \right)^{2} F_{248}\! \left(x \right) F_{32}\! \left(x \right)
F_{248}\! \left(x \right) = F_{142}\! \left(x \right)+F_{249}\! \left(x \right)
F_{249}\! \left(x \right) = F_{0} \left(x \right)^{2}
F_{250}\! \left(x \right) = F_{244}\! \left(x \right)
F_{251}\! \left(x \right) = F_{252}\! \left(x \right)
F_{252}\! \left(x \right) = F_{253}\! \left(x \right) F_{32}\! \left(x \right)
F_{253}\! \left(x \right) = F_{245}\! \left(x \right)+F_{254}\! \left(x \right)
F_{254}\! \left(x \right) = F_{248}\! \left(x \right) F_{38}\! \left(x \right)
F_{255}\! \left(x \right) = F_{256}\! \left(x \right)+F_{259}\! \left(x \right)+F_{6}\! \left(x \right)
F_{256}\! \left(x \right) = F_{257}\! \left(x \right) F_{32}\! \left(x \right)
F_{257}\! \left(x \right) = F_{258}\! \left(x \right)
F_{258}\! \left(x \right) = F_{229}\! \left(x \right) F_{32}\! \left(x \right) F_{8}\! \left(x \right)
F_{259}\! \left(x \right) = F_{32}\! \left(x \right) F_{38}\! \left(x \right) F_{8}\! \left(x \right)
F_{260}\! \left(x \right) = F_{261}\! \left(x \right)
F_{261}\! \left(x \right) = F_{218}\! \left(x \right) F_{32}\! \left(x \right)
F_{262}\! \left(x \right) = F_{154}\! \left(x \right) F_{32}\! \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_32(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_262(x) + F_6(x) + F_7(x))
Eq(F_6(x), 0)
Eq(F_7(x), -F_1(x) - F_260(x) + F_8(x))
Eq(F_8(x), F_0(x) + F_9(x))
Eq(F_9(x), F_10(x))
Eq(F_10(x), F_11(x)*F_32(x))
Eq(F_11(x), F_12(x) + F_255(x))
Eq(F_12(x), F_116(x) + F_13(x))
Eq(F_13(x), F_0(x) + F_14(x))
Eq(F_14(x), F_15(x) + F_2(x))
Eq(F_15(x), F_16(x))
Eq(F_16(x), F_17(x)*F_32(x))
Eq(F_17(x), F_109(x) + F_18(x))
Eq(F_18(x), F_19(x))
Eq(F_19(x), F_20(x)*F_32(x))
Eq(F_20(x), F_108(x) + F_21(x))
Eq(F_21(x), F_22(x) + F_84(x) + F_88(x))
Eq(F_22(x), F_1(x) + F_107(x) + F_23(x))
Eq(F_23(x), F_24(x)*F_32(x))
Eq(F_24(x), F_25(x)/F_32(x))
Eq(F_25(x), -F_1(x) - F_26(x) + F_4(x))
Eq(F_26(x), F_27(x)*F_32(x))
Eq(F_27(x), F_1(x) + F_106(x) + F_28(x) + F_36(x))
Eq(F_28(x), F_29(x)*F_32(x))
Eq(F_29(x), F_30(x)/F_32(x))
Eq(F_30(x), -F_1(x) + F_31(x) - F_33(x) - F_57(x))
Eq(F_31(x), F_7(x)/F_32(x))
Eq(F_32(x), x)
Eq(F_33(x), F_32(x)*F_34(x))
Eq(F_34(x), F_35(x) + F_41(x))
Eq(F_35(x), F_1(x) + F_28(x) + F_36(x) + F_37(x))
Eq(F_36(x), F_32(x)*F_34(x))
Eq(F_37(x), F_32(x)*F_38(x))
Eq(F_38(x), F_1(x) + F_39(x))
Eq(F_39(x), F_40(x))
Eq(F_40(x), F_32(x)*F_38(x))
Eq(F_41(x), F_42(x) + F_43(x))
Eq(F_42(x), -F_22(x) + F_27(x))
Eq(F_43(x), F_44(x))
Eq(F_44(x), F_32(x)*F_45(x))
Eq(F_45(x), F_43(x) + F_46(x))
Eq(F_46(x), F_37(x) + F_47(x) + F_56(x) + F_6(x))
Eq(F_47(x), F_32(x)*F_48(x))
Eq(F_48(x), F_49(x))
Eq(F_49(x), -F_29(x) + F_50(x))
Eq(F_50(x), F_51(x)/F_32(x))
Eq(F_51(x), -F_1(x) + F_34(x) - F_37(x) - F_52(x) - F_55(x))
Eq(F_52(x), F_32(x)*F_53(x))
Eq(F_53(x), F_34(x) + F_54(x))
Eq(F_54(x), F_45(x))
Eq(F_55(x), F_32(x)*F_53(x))
Eq(F_56(x), F_32(x)*F_45(x))
Eq(F_57(x), F_32(x)*F_58(x))
Eq(F_58(x), F_59(x) + F_69(x))
Eq(F_59(x), F_1(x) + F_60(x) + F_61(x) + F_65(x))
Eq(F_60(x), F_32(x)*F_58(x))
Eq(F_61(x), F_62(x))
Eq(F_62(x), F_32(x)*F_63(x))
Eq(F_63(x), F_24(x) + F_64(x))
Eq(F_64(x), F_39(x)*F_59(x))
Eq(F_65(x), F_66(x))
Eq(F_66(x), F_32(x)*F_67(x))
Eq(F_67(x), F_27(x) + F_68(x))
Eq(F_68(x), F_35(x)*F_39(x))
Eq(F_69(x), F_70(x))
Eq(F_70(x), F_32(x)*F_71(x))
Eq(F_71(x), F_103(x) + F_72(x))
Eq(F_72(x), F_101(x) + F_73(x))
Eq(F_73(x), F_74(x)/F_32(x))
Eq(F_74(x), -F_24(x) + F_75(x) - F_98(x))
Eq(F_75(x), F_76(x) + F_77(x))
Eq(F_76(x), F_0(x)*F_24(x))
Eq(F_77(x), F_78(x) + F_9(x) + F_95(x) + F_97(x))
Eq(F_78(x), F_79(x))
Eq(F_79(x), F_0(x)*F_32(x)*F_80(x))
Eq(F_80(x), F_81(x) + F_93(x))
Eq(F_81(x), F_82(x))
Eq(F_82(x), F_32(x)*F_83(x)*F_90(x))
Eq(F_83(x), F_38(x) + F_84(x) + F_88(x))
Eq(F_84(x), F_85(x))
Eq(F_85(x), F_32(x)*F_86(x))
Eq(F_86(x), F_87(x)/F_32(x))
Eq(F_87(x), F_48(x))
Eq(F_88(x), F_89(x))
Eq(F_89(x), F_32(x)*F_83(x)*F_90(x))
Eq(F_90(x), F_1(x) + F_91(x))
Eq(F_91(x), F_92(x))
Eq(F_92(x), F_32(x)*F_90(x))
Eq(F_93(x), F_94(x))
Eq(F_94(x), F_32(x)*F_86(x))
Eq(F_95(x), F_96(x))
Eq(F_96(x), F_0(x)*F_32(x)*F_81(x))
Eq(F_97(x), F_32(x)*F_77(x))
Eq(F_98(x), F_99(x))
Eq(F_99(x), F_100(x)*F_32(x)*F_90(x))
Eq(F_100(x), F_20(x) + F_46(x))
Eq(F_101(x), F_102(x))
Eq(F_102(x), F_32(x)*F_35(x)*F_86(x))
Eq(F_103(x), F_104(x))
Eq(F_104(x), F_105(x))
Eq(F_105(x), F_32(x)*F_59(x)*F_86(x))
Eq(F_106(x), F_32(x)*F_34(x))
Eq(F_107(x), F_27(x)*F_32(x))
Eq(F_108(x), F_83(x)*F_91(x))
Eq(F_109(x), F_110(x) + F_112(x) + F_6(x))
Eq(F_110(x), F_111(x))
Eq(F_111(x), F_32(x)*F_42(x))
Eq(F_112(x), F_113(x)*F_32(x))
Eq(F_113(x), F_114(x)/F_32(x))
Eq(F_114(x), F_115(x))
Eq(F_115(x), F_24(x) - F_4(x))
Eq(F_116(x), F_117(x))
Eq(F_117(x), F_118(x)*F_32(x))
Eq(F_118(x), F_119(x) + F_138(x))
Eq(F_119(x), F_120(x) + F_59(x))
Eq(F_120(x), F_121(x)*F_32(x))
Eq(F_121(x), F_122(x) - F_132(x))
Eq(F_122(x), F_123(x) - F_125(x))
Eq(F_123(x), F_124(x)/F_32(x))
Eq(F_124(x), F_69(x))
Eq(F_125(x), F_126(x))
Eq(F_126(x), F_127(x) + F_130(x) + F_131(x) + F_6(x))
Eq(F_127(x), F_128(x)*F_32(x))
Eq(F_128(x), F_129(x))
Eq(F_129(x), F_32(x)*F_59(x)*F_83(x)*F_90(x))
Eq(F_130(x), F_104(x)*F_32(x))
Eq(F_131(x), F_32(x)*F_4(x)*F_59(x))
Eq(F_132(x), F_133(x) + F_136(x) + F_137(x) + F_6(x))
Eq(F_133(x), F_134(x)*F_32(x))
Eq(F_134(x), F_135(x))
Eq(F_135(x), F_32(x)*F_35(x)*F_83(x)*F_90(x))
Eq(F_136(x), F_101(x)*F_32(x))
Eq(F_137(x), F_32(x)*F_35(x)*F_4(x))
Eq(F_138(x), F_139(x))
Eq(F_139(x), F_140(x)*F_32(x))
Eq(F_140(x), F_141(x)/(F_0(x)*F_32(x)))
Eq(F_141(x), F_142(x))
Eq(F_142(x), F_143(x) + F_251(x) + F_6(x))
Eq(F_143(x), F_144(x) - F_231(x) - F_6(x))
Eq(F_144(x), F_145(x) - F_147(x))
Eq(F_145(x), F_146(x)/F_32(x))
Eq(F_146(x), F_15(x))
Eq(F_147(x), F_148(x) + F_149(x))
Eq(F_148(x), F_0(x)*F_2(x))
Eq(F_149(x), F_150(x))
Eq(F_150(x), F_151(x)*F_32(x))
Eq(F_151(x), F_152(x) + F_153(x))
Eq(F_152(x), F_22(x)*F_5(x))
Eq(F_153(x), F_0(x)*F_154(x))
Eq(F_154(x), F_155(x))
Eq(F_155(x), F_156(x)*F_32(x))
Eq(F_156(x), F_157(x) + F_171(x))
Eq(F_157(x), F_158(x) - F_161(x))
Eq(F_158(x), F_159(x)/F_32(x))
Eq(F_159(x), F_160(x))
Eq(F_160(x), F_31(x) - F_8(x))
Eq(F_161(x), F_162(x))
Eq(F_162(x), F_163(x)*F_165(x)*F_32(x)*F_8(x))
Eq(F_163(x), F_0(x) + F_164(x))
Eq(F_164(x), F_32(x)*F_83(x))
Eq(F_165(x), F_166(x) + F_90(x))
Eq(F_166(x), F_167(x) + F_39(x))
Eq(F_167(x), F_168(x) + F_170(x) + F_6(x))
Eq(F_168(x), F_169(x)*F_32(x))
Eq(F_169(x), F_167(x) + F_91(x))
Eq(F_170(x), F_166(x)*F_32(x))
Eq(F_171(x), F_172(x))
Eq(F_172(x), F_173(x)*F_32(x))
Eq(F_173(x), F_174(x) + F_227(x))
Eq(F_174(x), F_175(x)*F_38(x))
Eq(F_175(x), F_176(x) + F_225(x))
Eq(F_176(x), F_177(x) + F_8(x))
Eq(F_177(x), F_178(x) + F_221(x) + F_223(x) + F_6(x))
Eq(F_178(x), -F_1(x) - F_179(x) - F_215(x) + F_31(x))
Eq(F_179(x), F_180(x)*F_32(x))
Eq(F_180(x), F_181(x) + F_31(x))
Eq(F_181(x), F_182(x))
Eq(F_182(x), F_183(x)*F_32(x))
Eq(F_183(x), F_184(x)/F_32(x))
Eq(F_184(x), F_185(x) - F_187(x) - F_199(x) - F_214(x) - F_8(x))
Eq(F_185(x), F_186(x)/F_32(x))
Eq(F_186(x), F_154(x))
Eq(F_187(x), F_188(x)*F_32(x))
Eq(F_188(x), F_189(x) + F_193(x))
Eq(F_189(x), F_190(x) + F_191(x))
Eq(F_190(x), F_24(x)*F_8(x))
Eq(F_191(x), F_192(x))
Eq(F_192(x), F_176(x)*F_32(x)*F_86(x))
Eq(F_193(x), F_194(x))
Eq(F_194(x), F_195(x) + F_196(x) + F_48(x))
Eq(F_195(x), F_194(x)*F_32(x))
Eq(F_196(x), F_197(x))
Eq(F_197(x), F_198(x)*F_32(x))
Eq(F_198(x), F_101(x) + F_103(x))
Eq(F_199(x), F_200(x)*F_32(x))
Eq(F_200(x), F_201(x) + F_212(x))
Eq(F_201(x), F_202(x) + F_206(x) + F_210(x) + F_211(x) + F_8(x))
Eq(F_202(x), F_203(x)*F_32(x))
Eq(F_203(x), F_189(x) + F_204(x))
Eq(F_204(x), F_205(x))
Eq(F_205(x), F_48(x)*F_8(x))
Eq(F_206(x), F_207(x)*F_32(x))
Eq(F_207(x), F_201(x) + F_208(x))
Eq(F_208(x), F_209(x))
Eq(F_209(x), F_45(x)*F_8(x))
Eq(F_210(x), F_207(x)*F_32(x))
Eq(F_211(x), F_176(x)*F_32(x)*F_38(x))
Eq(F_212(x), F_213(x))
Eq(F_213(x), F_32(x)*F_38(x)*F_8(x)*F_83(x)*F_90(x))
Eq(F_214(x), F_176(x)*F_32(x)*F_38(x))
Eq(F_215(x), F_216(x))
Eq(F_216(x), F_217(x)*F_32(x))
Eq(F_217(x), F_218(x) + F_220(x))
Eq(F_218(x), F_219(x) + F_4(x))
Eq(F_219(x), F_39(x)*F_8(x))
Eq(F_220(x), F_38(x)*F_39(x)*F_8(x))
Eq(F_221(x), F_222(x))
Eq(F_222(x), F_176(x)*F_32(x)*F_39(x))
Eq(F_223(x), F_224(x))
Eq(F_224(x), F_32(x)*F_38(x)*F_39(x)*F_8(x))
Eq(F_225(x), F_226(x))
Eq(F_226(x), F_165(x)*F_32(x)*F_38(x)*F_8(x))
Eq(F_227(x), F_228(x))
Eq(F_228(x), F_165(x)*F_229(x)*F_32(x)*F_8(x))
Eq(F_229(x), F_230(x) + F_93(x))
Eq(F_230(x), F_4(x) + F_81(x))
Eq(F_231(x), F_232(x))
Eq(F_232(x), F_233(x)*F_32(x))
Eq(F_233(x), F_234(x) + F_240(x))
Eq(F_234(x), F_235(x) + F_239(x))
Eq(F_235(x), F_236(x) + F_237(x))
Eq(F_236(x), F_0(x)*F_8(x))
Eq(F_237(x), F_238(x))
Eq(F_238(x), F_0(x)*F_140(x)*F_32(x)*F_38(x))
Eq(F_239(x), F_0(x)*F_160(x))
Eq(F_240(x), F_241(x) + F_243(x) + 2*F_6(x))
Eq(F_241(x), F_242(x))
Eq(F_242(x), F_235(x)*F_32(x)*F_38(x))
Eq(F_243(x), F_244(x))
Eq(F_244(x), F_245(x)*F_32(x)*F_38(x))
Eq(F_245(x), F_246(x) + F_250(x) + 2*F_6(x))
Eq(F_246(x), F_247(x))
Eq(F_247(x), F_248(x)*F_32(x)*F_38(x)**2)
Eq(F_248(x), F_142(x) + F_249(x))
Eq(F_249(x), F_0(x)**2)
Eq(F_250(x), F_244(x))
Eq(F_251(x), F_252(x))
Eq(F_252(x), F_253(x)*F_32(x))
Eq(F_253(x), F_245(x) + F_254(x))
Eq(F_254(x), F_248(x)*F_38(x))
Eq(F_255(x), F_256(x) + F_259(x) + F_6(x))
Eq(F_256(x), F_257(x)*F_32(x))
Eq(F_257(x), F_258(x))
Eq(F_258(x), F_229(x)*F_32(x)*F_8(x))
Eq(F_259(x), F_32(x)*F_38(x)*F_8(x))
Eq(F_260(x), F_261(x))
Eq(F_261(x), F_218(x)*F_32(x))
Eq(F_262(x), F_154(x)*F_32(x))
Pack JSON:
{"name": "point_and_row_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": [], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [], "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}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RowAndColumnPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "place_row": true, "place_col": false}]], "symmetries": [], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"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, 1, 3, 2], "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": [3, 0, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "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, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [3, 0, 1, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 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": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"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, 0], [0, 0], [1, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 4, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 1, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"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, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 1, 4, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 1, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], "requirements": [], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[2, 0]]}, {"patt": [0], "pos": [[3, 0]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[1, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[2, 1], [2, 1], [3, 1]]}, {"patt": [0, 2, 1], "pos": [[2, 1], [3, 1], [3, 1]]}, {"patt": [0, 2, 1], "pos": [[3, 1], [3, 1], [3, 1]]}, {"patt": [2, 0, 1], "pos": [[0, 1], [2, 1], [3, 1]]}, {"patt": [2, 0, 1], "pos": [[0, 1], [3, 1], [3, 1]]}, {"patt": [2, 0, 1], "pos": [[2, 1], [2, 1], [3, 1]]}, {"patt": [2, 0, 1], "pos": [[2, 1], [3, 1], [3, 1]]}, {"patt": [2, 0, 1], "pos": [[3, 1], [3, 1], [3, 1]]}, {"patt": [2, 1, 0], "pos": [[0, 1], [3, 1], [3, 1]]}, {"patt": [2, 1, 0], "pos": [[2, 1], [3, 1], [3, 1]]}, {"patt": [2, 1, 0], "pos": [[3, 1], [3, 1], [3, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [3, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [0, 1], [2, 1], [3, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [0, 1], [3, 1], [3, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 1], [0, 1], [0, 1], [3, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [2, 3, 0, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [2, 3, 1, 0], "pos": [[0, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [2, 3, 1, 0], "pos": [[0, 1], [2, 1], [2, 1], [3, 1]]}, {"patt": [2, 3, 1, 0], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [2, 3, 1, 0], "pos": [[2, 1], [2, 1], [2, 1], [3, 1]]}, {"patt": [3, 0, 1, 2], "pos": [[0, 1], [0, 1], [0, 1], [3, 1]]}, {"patt": [3, 0, 2, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [3, 2, 0, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [3, 2, 1, 0], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [3, 2, 1, 0], "pos": [[2, 1], [2, 1], [2, 1], [3, 1]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 1], [0, 1], 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4, 2], "pos": [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 4], [0, 4], [0, 4], [0, 4], [4, 4]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 4], [0, 4], [0, 4], [4, 4], [4, 4]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 4], [0, 4], [0, 4], [0, 4], [4, 4]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 4], [0, 4], [0, 4], [4, 4], [4, 4]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {"patt": [0, 4, 1, 3, 2], "pos": [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {"patt": [0, 4, 1, 3, 2], "pos": [[0, 4], [0, 4], [0, 4], [0, 4], [4, 4]]}, {"patt": [0, 4, 1, 3, 2], "pos": [[0, 4], [0, 4], [0, 4], [4, 4], [4, 4]]}, {"patt": [0, 4, 1, 3, 2], "pos": [[0, 4], [0, 4], [4, 4], [4, 4], [4, 4]]}, {"patt": [0, 4, 1, 3, 2], "pos": [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 4], [0, 4], [0, 4], [0, 4], [4, 4]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 4], [0, 4], [0, 4], [4, 4], [4, 4]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 4], [0, 4], [4, 4], [4, 4], [4, 4]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 4], [0, 4], [0, 4], [0, 4], [4, 4]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 4], [0, 4], [0, 4], [4, 4], [4, 4]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {"patt": [3, 0, 1, 4, 2], "pos": [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {"patt": [3, 0, 1, 4, 2], "pos": [[0, 4], [0, 4], [0, 4], [0, 4], [4, 4]]}, {"patt": [3, 0, 1, 4, 2], "pos": [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 4], [0, 4], [0, 4], [0, 4], [4, 4]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 4], [0, 4], [0, 4], [4, 4], [4, 4]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 4], [0, 4], [0, 4], [0, 4], [4, 4]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 4], [0, 4], [0, 4], [4, 4], [4, 4]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}], "requirements": [[{"patt": [0], "pos": [[1, 4]]}], [{"patt": [0], "pos": [[3, 3]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionInferralStrategy", "gps": [{"patt": [0], "pos": [[2, 4]]}]}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalenceRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}], "indices": [0], "direction": 2, "own_col": true, "own_row": true, "include_empty": true}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalenceRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}], "indices": [0], "direction": 2, "own_col": true, "own_row": true, "include_empty": true}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}]}
Specification 4
Strategy pack name: point_placements_req_corrob
Tree: http://permpal.com/tree/24975/
System of equations in Maple syntax:
F[0,x] = F[1,x]+F[2,x]
F[1,x] = 1
F[2,x] = F[3,x]
F[3,x] = F[4,x]*F[5,x]
F[4,x] = x
F[5,x] = F[0,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[4,x]*F[8,x]
F[8,x] = F[370,x]+F[9,x]
F[9,x] = F[10,x]+F[267,x]
F[10,x] = F[0,x]+F[11,x]
F[11,x] = F[12,x]
F[12,x] = F[13,x]*F[4,x]
F[13,x] = F[14,x]+F[9,x]
F[14,x] = F[15,x]
F[15,x] = F[16,x]*F[4,x]
F[16,x] = 1/F[4,x]*F[17,x]
F[17,x] = F[18,x]
F[18,x] = -F[19,x]+F[9,x]
F[19,x] = F[0,x]+F[20,x]
F[20,x] = F[21,x]
F[21,x] = F[22,x]*F[4,x]
F[22,x] = F[23,x]+F[265,x]
F[23,x] = F[24,x]+F[26,x]
F[24,x] = 1/F[4,x]*F[25,x]
F[25,x] = F[2,x]
F[26,x] = F[27,x]+F[28,x]
F[27,x] = F[0,x]*F[2,x]
F[28,x] = F[29,x]
F[29,x] = F[30,x]*F[4,x]
F[30,x] = F[31,x]+F[35,x]
F[31,x] = F[32,x]*F[33,x]
F[32,x] = -F[0,x]+F[24,x]
F[33,x] = 1/F[4,x]*F[34,x]
F[34,x] = F[2,x]
F[35,x] = F[19,x]*F[36,x]
F[36,x] = F[37,x]
F[37,x] = F[38,x]*F[4,x]
F[38,x] = 1/F[0,x]/F[4,x]*F[39,x]
F[39,x] = F[40,x]
F[40,x] = F[4,x]*F[41,x]*F[47,x]
F[41,x] = F[42,x]+F[55,x]
F[42,x] = 1/F[4,x]/F[47,x]*F[43,x]
F[43,x] = F[44,x]
F[44,x] = F[45,x]+F[50,x]
F[45,x] = F[46,x]
F[46,x] = F[0,x]^2*F[4,x]*F[47,x]
F[47,x] = F[1,x]+F[48,x]
F[48,x] = F[49,x]
F[49,x] = F[4,x]*F[47,x]
F[50,x] = F[51,x]
F[51,x] = F[4,x]*F[47,x]*F[52,x]
F[52,x] = F[44,x]+F[53,x]
F[53,x] = F[54,x]
F[54,x] = F[4,x]*F[41,x]*F[47,x]
F[55,x] = F[56,x]
F[56,x] = F[4,x]*F[57,x]
F[57,x] = 1/F[4,x]/F[71,x]*F[58,x]
F[58,x] = F[59,x]
F[59,x] = -F[264,x]+F[60,x]
F[60,x] = 1/F[4,x]*F[61,x]
F[61,x] = F[62,x]
F[62,x] = F[209,x]+F[63,x]
F[63,x] = F[64,x]
F[64,x] = F[4,x]*F[65,x]
F[65,x] = F[124,x]+F[66,x]
F[66,x] = F[2,x]*F[67,x]
F[67,x] = F[102,x]+F[68,x]
F[68,x] = F[19,x]+F[69,x]
F[69,x] = F[70,x]
F[70,x] = F[0,x]*F[101,x]*F[4,x]*F[71,x]
F[71,x] = F[72,x]+F[83,x]
F[72,x] = F[1,x]+F[73,x]
F[73,x] = F[74,x]
F[74,x] = F[4,x]*F[75,x]
F[75,x] = F[72,x]+F[76,x]
F[76,x] = F[77,x]+F[80,x]
F[77,x] = F[78,x]
F[78,x] = F[4,x]*F[79,x]
F[79,x] = F[1,x]+F[77,x]
F[80,x] = F[81,x]
F[81,x] = F[4,x]*F[82,x]
F[82,x] = F[73,x]+F[80,x]
F[83,x] = F[48,x]+F[84,x]
F[84,x] = F[85,x]+F[86,x]+F[88,x]
F[85,x] = 0
F[86,x] = F[4,x]*F[87,x]
F[87,x] = F[73,x]+F[84,x]
F[88,x] = F[4,x]*F[89,x]
F[89,x] = F[83,x]+F[90,x]
F[90,x] = F[91,x]+F[96,x]
F[91,x] = F[85,x]+F[92,x]+F[94,x]
F[92,x] = F[4,x]*F[93,x]
F[93,x] = F[77,x]+F[91,x]
F[94,x] = F[4,x]*F[95,x]
F[95,x] = F[48,x]+F[91,x]
F[96,x] = 2*F[85,x]+F[97,x]+F[99,x]
F[97,x] = F[4,x]*F[98,x]
F[98,x] = F[80,x]+F[96,x]
F[99,x] = F[100,x]*F[4,x]
F[100,x] = F[84,x]+F[96,x]
F[101,x] = F[79,x]+F[95,x]
F[102,x] = F[103,x]
F[103,x] = -F[119,x]+F[104,x]
F[104,x] = 1/F[4,x]*F[105,x]
F[105,x] = F[106,x]
F[106,x] = -F[110,x]+F[107,x]
F[107,x] = 1/F[4,x]*F[108,x]
F[108,x] = F[109,x]
F[109,x] = -F[2,x]+F[32,x]
F[110,x] = F[111,x]+F[112,x]
F[111,x] = F[2,x]*F[5,x]
F[112,x] = F[113,x]
F[113,x] = F[114,x]*F[4,x]
F[114,x] = F[115,x]+F[118,x]
F[115,x] = F[106,x]*F[116,x]
F[116,x] = 1/F[4,x]*F[117,x]
F[117,x] = F[2,x]
F[118,x] = F[59,x]
F[119,x] = F[120,x]+F[123,x]
F[120,x] = 1/F[4,x]*F[121,x]
F[121,x] = F[122,x]
F[122,x] = -F[0,x]+F[33,x]
F[123,x] = F[69,x]
F[124,x] = F[125,x]
F[125,x] = F[0,x]*F[126,x]
F[126,x] = -F[151,x]+F[127,x]
F[127,x] = 1/F[4,x]*F[128,x]
F[128,x] = F[129,x]
F[129,x] = -F[143,x]+F[130,x]
F[130,x] = -F[133,x]+F[131,x]
F[131,x] = 1/F[4,x]*F[132,x]
F[132,x] = F[109,x]
F[133,x] = F[134,x]+F[148,x]
F[134,x] = -F[142,x]+F[135,x]
F[135,x] = F[136,x]+F[137,x]
F[136,x] = F[0,x]^2
F[137,x] = F[138,x]
F[138,x] = F[0,x]*F[139,x]*F[4,x]
F[139,x] = F[120,x]+F[140,x]
F[140,x] = F[141,x]
F[141,x] = F[19,x]*F[4,x]*F[47,x]
F[142,x] = F[0,x]+F[143,x]
F[143,x] = F[144,x]
F[144,x] = F[0,x]*F[145,x]*F[4,x]
F[145,x] = F[146,x]+F[33,x]
F[146,x] = F[147,x]
F[147,x] = F[0,x]*F[4,x]*F[47,x]
F[148,x] = F[149,x]
F[149,x] = F[150,x]*F[33,x]*F[4,x]
F[150,x] = F[129,x]+F[32,x]
F[151,x] = F[0,x]*F[152,x]
F[152,x] = F[153,x]
F[153,x] = F[154,x]*F[4,x]
F[154,x] = F[155,x]+F[205,x]
F[155,x] = F[156,x]*F[47,x]
F[156,x] = F[157,x]+F[176,x]
F[157,x] = F[158,x]+F[161,x]
F[158,x] = F[159,x]+F[160,x]
F[159,x] = F[1,x]+F[4,x]
F[160,x] = F[4,x]
F[161,x] = F[162,x]+F[175,x]
F[162,x] = F[163,x]+F[73,x]
F[163,x] = F[164,x]+F[174,x]+F[85,x]
F[164,x] = F[165,x]*F[4,x]
F[165,x] = F[166,x]+F[167,x]
F[166,x] = F[163,x]+F[4,x]
F[167,x] = F[168,x]+F[171,x]
F[168,x] = F[169,x]
F[169,x] = F[170,x]*F[4,x]
F[170,x] = F[168,x]+F[4,x]
F[171,x] = F[172,x]
F[172,x] = F[173,x]*F[4,x]
F[173,x] = F[163,x]+F[171,x]
F[174,x] = F[4,x]*F[77,x]
F[175,x] = F[163,x]
F[176,x] = F[177,x]+F[184,x]
F[177,x] = F[178,x]+F[183,x]
F[178,x] = F[179,x]+F[48,x]
F[179,x] = F[180,x]+F[182,x]+F[85,x]
F[180,x] = F[181,x]*F[4,x]
F[181,x] = F[179,x]+F[4,x]
F[182,x] = F[4,x]*F[48,x]
F[183,x] = F[179,x]
F[184,x] = F[185,x]+F[204,x]
F[185,x] = F[186,x]+F[84,x]
F[186,x] = F[187,x]+F[189,x]+F[203,x]+F[85,x]
F[187,x] = F[188,x]*F[4,x]
F[188,x] = F[163,x]+F[186,x]
F[189,x] = F[190,x]*F[4,x]
F[190,x] = F[191,x]+F[192,x]
F[191,x] = F[179,x]+F[186,x]
F[192,x] = F[193,x]+F[198,x]
F[193,x] = 2*F[85,x]+F[194,x]+F[196,x]
F[194,x] = F[195,x]*F[4,x]
F[195,x] = F[168,x]+F[193,x]
F[196,x] = F[197,x]*F[4,x]
F[197,x] = F[179,x]+F[193,x]
F[198,x] = 3*F[85,x]+F[199,x]+F[201,x]
F[199,x] = F[200,x]*F[4,x]
F[200,x] = F[171,x]+F[198,x]
F[201,x] = F[202,x]*F[4,x]
F[202,x] = F[186,x]+F[198,x]
F[203,x] = F[4,x]*F[91,x]
F[204,x] = F[186,x]
F[205,x] = F[181,x]*F[206,x]
F[206,x] = F[207,x]+F[208,x]
F[207,x] = F[159,x]+F[162,x]
F[208,x] = F[178,x]+F[185,x]
F[209,x] = F[210,x]
F[210,x] = F[211,x]*F[24,x]*F[4,x]
F[211,x] = -F[262,x]+F[212,x]
F[212,x] = -F[215,x]+F[213,x]
F[213,x] = 1/F[4,x]*F[214,x]
F[214,x] = F[109,x]
F[215,x] = F[216,x]+F[62,x]
F[216,x] = F[217,x]+F[218,x]
F[217,x] = F[0,x]*F[2,x]
F[218,x] = F[219,x]
F[219,x] = F[220,x]*F[4,x]
F[220,x] = F[221,x]+F[222,x]
F[221,x] = F[122,x]*F[24,x]
F[222,x] = F[0,x]*F[223,x]
F[223,x] = -F[227,x]+F[224,x]
F[224,x] = 1/F[4,x]*F[225,x]
F[225,x] = F[226,x]
F[226,x] = -F[2,x]+F[122,x]
F[227,x] = F[228,x]+F[229,x]
F[228,x] = F[2,x]*F[33,x]
F[229,x] = F[230,x]
F[230,x] = F[231,x]*F[4,x]
F[231,x] = F[232,x]+F[237,x]
F[232,x] = F[233,x]
F[233,x] = F[19,x]*F[234,x]
F[234,x] = F[235,x]
F[235,x] = F[236,x]*F[4,x]*F[47,x]
F[236,x] = F[24,x]+F[36,x]
F[237,x] = F[19,x]*F[238,x]
F[238,x] = -F[261,x]+F[239,x]
F[239,x] = 1/F[79,x]*F[240,x]
F[240,x] = -F[259,x]+F[241,x]
F[241,x] = 1/F[4,x]*F[242,x]
F[242,x] = F[243,x]
F[243,x] = F[244,x]*F[4,x]*F[79,x]
F[244,x] = 1/F[4,x]*F[245,x]
F[245,x] = F[246,x]
F[246,x] = F[247,x]+F[253,x]
F[247,x] = F[2,x]+F[248,x]
F[248,x] = F[249,x]
F[249,x] = F[250,x]*F[4,x]
F[250,x] = F[251,x]+F[252,x]
F[251,x] = F[24,x]*F[48,x]
F[252,x] = F[36,x]*F[47,x]
F[253,x] = F[254,x]
F[254,x] = F[255,x]*F[4,x]*F[77,x]
F[255,x] = F[238,x]+F[256,x]
F[256,x] = F[0,x]+F[257,x]
F[257,x] = F[258,x]
F[258,x] = F[255,x]*F[4,x]
F[259,x] = F[260,x]
F[260,x] = F[79,x]^2*F[255,x]*F[4,x]
F[261,x] = F[116,x]+F[234,x]
F[262,x] = F[263,x]
F[263,x] = F[4,x]*F[67,x]
F[264,x] = F[116,x]*F[212,x]
F[265,x] = F[266,x]
F[266,x] = F[19,x]*F[256,x]*F[4,x]
F[267,x] = F[268,x]+F[269,x]
F[268,x] = F[2,x]*F[72,x]
F[269,x] = F[270,x]
F[270,x] = F[271,x]*F[4,x]
F[271,x] = F[272,x]+F[345,x]
F[272,x] = F[2,x]*F[273,x]
F[273,x] = 1/F[4,x]*F[274,x]
F[274,x] = F[275,x]
F[275,x] = F[2,x]+F[276,x]
F[276,x] = F[277,x]
F[277,x] = F[278,x]*F[4,x]
F[278,x] = 1/F[72,x]*F[279,x]
F[279,x] = -F[337,x]+F[280,x]
F[280,x] = 1/F[4,x]*F[281,x]
F[281,x] = F[282,x]
F[282,x] = -F[344,x]+F[283,x]
F[283,x] = -F[313,x]+F[284,x]
F[284,x] = 1/F[4,x]*F[285,x]
F[285,x] = F[286,x]
F[286,x] = -F[2,x]+F[287,x]
F[287,x] = -F[288,x]+F[5,x]
F[288,x] = F[1,x]+F[289,x]
F[289,x] = F[290,x]
F[290,x] = F[291,x]*F[4,x]
F[291,x] = F[292,x]+F[72,x]
F[292,x] = F[293,x]+F[300,x]
F[293,x] = F[294,x]
F[294,x] = F[295,x]*F[4,x]
F[295,x] = F[296,x]+F[79,x]
F[296,x] = F[297,x]+F[4,x]
F[297,x] = F[298,x]+F[299,x]+F[85,x]
F[298,x] = F[4,x]*F[77,x]
F[299,x] = F[296,x]*F[4,x]
F[300,x] = F[301,x]+F[306,x]+F[85,x]
F[301,x] = F[302,x]*F[4,x]
F[302,x] = F[303,x]+F[82,x]
F[303,x] = F[304,x]+F[310,x]
F[304,x] = F[305,x]+F[306,x]+F[85,x]
F[305,x] = F[4,x]*F[73,x]
F[306,x] = F[307,x]*F[4,x]
F[307,x] = F[308,x]+F[309,x]
F[308,x] = F[304,x]+F[4,x]
F[309,x] = F[297,x]+F[310,x]
F[310,x] = 2*F[85,x]+F[311,x]+F[312,x]
F[311,x] = F[4,x]*F[80,x]
F[312,x] = F[303,x]*F[4,x]
F[313,x] = -F[314,x]+F[8,x]
F[314,x] = F[10,x]+F[315,x]
F[315,x] = F[316,x]+F[331,x]
F[316,x] = F[317,x]+F[73,x]
F[317,x] = F[318,x]+F[323,x]+F[85,x]
F[318,x] = F[319,x]*F[4,x]
F[319,x] = F[320,x]+F[321,x]
F[320,x] = F[317,x]+F[73,x]
F[321,x] = F[322,x]+F[326,x]
F[322,x] = F[305,x]+F[323,x]+F[85,x]
F[323,x] = F[324,x]*F[4,x]
F[324,x] = F[325,x]
F[325,x] = F[322,x]+F[4,x]
F[326,x] = F[327,x]+F[328,x]+F[330,x]+F[85,x]
F[327,x] = F[317,x]*F[4,x]
F[328,x] = F[329,x]*F[4,x]
F[329,x] = F[321,x]
F[330,x] = 0
F[331,x] = F[332,x]+F[333,x]
F[332,x] = F[2,x]*F[73,x]
F[333,x] = F[334,x]
F[334,x] = F[335,x]*F[4,x]
F[335,x] = F[336,x]+F[337,x]
F[336,x] = F[278,x]*F[73,x]
F[337,x] = F[338,x]+F[340,x]
F[338,x] = F[339,x]
F[339,x] = F[331,x]
F[340,x] = F[341,x]
F[341,x] = F[342,x]*F[4,x]*F[72,x]*F[79,x]
F[342,x] = -F[343,x]+F[278,x]
F[343,x] = 1/F[4,x]/F[72,x]/F[79,x]*F[339,x]
F[344,x] = F[2,x]*F[72,x]
F[345,x] = F[257,x]*F[346,x]
F[346,x] = 1/F[4,x]/F[47,x]*F[347,x]
F[347,x] = F[348,x]
F[348,x] = -F[365,x]+F[349,x]
F[349,x] = F[350,x]
F[350,x] = F[351,x]*F[4,x]*F[47,x]
F[351,x] = 1/F[4,x]/F[47,x]*F[352,x]
F[352,x] = F[353,x]
F[353,x] = F[354,x]
F[354,x] = F[355,x]*F[4,x]
F[355,x] = F[356,x]+F[360,x]
F[356,x] = F[357,x]*F[47,x]
F[357,x] = F[353,x]+F[358,x]
F[358,x] = F[342,x]+F[359,x]
F[359,x] = F[343,x]+F[75,x]
F[360,x] = 1/F[4,x]*F[361,x]
F[361,x] = F[362,x]
F[362,x] = F[363,x]*F[4,x]
F[363,x] = F[364,x]
F[364,x] = F[47,x]^2*F[351,x]*F[4,x]
F[365,x] = F[366,x]
F[366,x] = F[367,x]*F[4,x]*F[47,x]
F[367,x] = F[368,x]+F[369,x]
F[368,x] = -F[9,x]+F[358,x]
F[369,x] = -F[357,x]+F[351,x]
F[370,x] = F[371,x]
F[371,x] = F[372,x]*F[4,x]
F[372,x] = F[373,x]+F[376,x]
F[373,x] = F[16,x]+F[374,x]
F[374,x] = F[375,x]
F[375,x] = F[47,x]^2*F[351,x]*F[4,x]
F[376,x] = F[377,x]+F[379,x]
F[377,x] = F[378,x]
F[378,x] = F[16,x]*F[4,x]*F[47,x]
F[379,x] = F[380,x]
F[380,x] = F[381,x]*F[4,x]*F[47,x]
F[381,x] = F[360,x]+F[382,x]
F[382,x] = F[383,x]
F[383,x] = F[181,x]*F[351,x]
System of equations in latex syntax:
F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)
F_{1}\! \left(x \right) = 1
F_{2}\! \left(x \right) = F_{3}\! \left(x \right)
F_{3}\! \left(x \right) = F_{4}\! \left(x \right) F_{5}\! \left(x \right)
F_{4}\! \left(x \right) = x
F_{5}\! \left(x \right) = F_{0}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{4}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{370}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{267}\! \left(x \right)
F_{10}\! \left(x \right) = F_{0}\! \left(x \right)+F_{11}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right) F_{4}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)+F_{9}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right) F_{4}\! \left(x \right)
F_{16}\! \left(x \right) = \frac{F_{17}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = -F_{19}\! \left(x \right)+F_{9}\! \left(x \right)
F_{19}\! \left(x \right) = F_{0}\! \left(x \right)+F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right) F_{4}\! \left(x \right)
F_{22}\! \left(x \right) = F_{23}\! \left(x \right)+F_{265}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)+F_{26}\! \left(x \right)
F_{24}\! \left(x \right) = \frac{F_{25}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{25}\! \left(x \right) = F_{2}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)+F_{28}\! \left(x \right)
F_{27}\! \left(x \right) = F_{0}\! \left(x \right) F_{2}\! \left(x \right)
F_{28}\! \left(x \right) = F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right) F_{4}\! \left(x \right)
F_{30}\! \left(x \right) = F_{31}\! \left(x \right)+F_{35}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right) F_{33}\! \left(x \right)
F_{32}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{24}\! \left(x \right)
F_{33}\! \left(x \right) = \frac{F_{34}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{34}\! \left(x \right) = F_{2}\! \left(x \right)
F_{35}\! \left(x \right) = F_{19}\! \left(x \right) F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x \right) F_{4}\! \left(x \right)
F_{38}\! \left(x \right) = \frac{F_{39}\! \left(x \right)}{F_{0}\! \left(x \right) F_{4}\! \left(x \right)}
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{4}\! \left(x \right) F_{41}\! \left(x \right) F_{47}\! \left(x \right)
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)+F_{55}\! \left(x \right)
F_{42}\! \left(x \right) = \frac{F_{43}\! \left(x \right)}{F_{4}\! \left(x \right) F_{47}\! \left(x \right)}
F_{43}\! \left(x \right) = F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)+F_{50}\! \left(x \right)
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{0} \left(x \right)^{2} F_{4}\! \left(x \right) F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{1}\! \left(x \right)+F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{4}\! \left(x \right) F_{47}\! \left(x \right)
F_{50}\! \left(x \right) = F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{4}\! \left(x \right) F_{47}\! \left(x \right) F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{44}\! \left(x \right)+F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{4}\! \left(x \right) F_{41}\! \left(x \right) F_{47}\! \left(x \right)
F_{55}\! \left(x \right) = F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{4}\! \left(x \right) F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = \frac{F_{58}\! \left(x \right)}{F_{4}\! \left(x \right) F_{71}\! \left(x \right)}
F_{58}\! \left(x \right) = F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = -F_{264}\! \left(x \right)+F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = \frac{F_{61}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{209}\! \left(x \right)+F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{4}\! \left(x \right) F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{124}\! \left(x \right)+F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{2}\! \left(x \right) F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{102}\! \left(x \right)+F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{19}\! \left(x \right)+F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{0}\! \left(x \right) F_{101}\! \left(x \right) F_{4}\! \left(x \right) F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{72}\! \left(x \right)+F_{83}\! \left(x \right)
F_{72}\! \left(x \right) = F_{1}\! \left(x \right)+F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{4}\! \left(x \right) F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{72}\! \left(x \right)+F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{77}\! \left(x \right)+F_{80}\! \left(x \right)
F_{77}\! \left(x \right) = F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{4}\! \left(x \right) F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{1}\! \left(x \right)+F_{77}\! \left(x \right)
F_{80}\! \left(x \right) = F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{4}\! \left(x \right) F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{73}\! \left(x \right)+F_{80}\! \left(x \right)
F_{83}\! \left(x \right) = F_{48}\! \left(x \right)+F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{85}\! \left(x \right)+F_{86}\! \left(x \right)+F_{88}\! \left(x \right)
F_{85}\! \left(x \right) = 0
F_{86}\! \left(x \right) = F_{4}\! \left(x \right) F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{73}\! \left(x \right)+F_{84}\! \left(x \right)
F_{88}\! \left(x \right) = F_{4}\! \left(x \right) F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{83}\! \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_{85}\! \left(x \right)+F_{92}\! \left(x \right)+F_{94}\! \left(x \right)
F_{92}\! \left(x \right) = F_{4}\! \left(x \right) F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{77}\! \left(x \right)+F_{91}\! \left(x \right)
F_{94}\! \left(x \right) = F_{4}\! \left(x \right) F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{48}\! \left(x \right)+F_{91}\! \left(x \right)
F_{96}\! \left(x \right) = 2 F_{85}\! \left(x \right)+F_{97}\! \left(x \right)+F_{99}\! \left(x \right)
F_{97}\! \left(x \right) = F_{4}\! \left(x \right) F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{80}\! \left(x \right)+F_{96}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right) F_{4}\! \left(x \right)
F_{100}\! \left(x \right) = F_{84}\! \left(x \right)+F_{96}\! \left(x \right)
F_{101}\! \left(x \right) = F_{79}\! \left(x \right)+F_{95}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)
F_{103}\! \left(x \right) = -F_{119}\! \left(x \right)+F_{104}\! \left(x \right)
F_{104}\! \left(x \right) = \frac{F_{105}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{105}\! \left(x \right) = F_{106}\! \left(x \right)
F_{106}\! \left(x \right) = -F_{110}\! \left(x \right)+F_{107}\! \left(x \right)
F_{107}\! \left(x \right) = \frac{F_{108}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)
F_{109}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{32}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right)+F_{112}\! \left(x \right)
F_{111}\! \left(x \right) = F_{2}\! \left(x \right) F_{5}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right) F_{4}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right)+F_{118}\! \left(x \right)
F_{115}\! \left(x \right) = F_{106}\! \left(x \right) F_{116}\! \left(x \right)
F_{116}\! \left(x \right) = \frac{F_{117}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{117}\! \left(x \right) = F_{2}\! \left(x \right)
F_{118}\! \left(x \right) = F_{59}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)+F_{123}\! \left(x \right)
F_{120}\! \left(x \right) = \frac{F_{121}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{121}\! \left(x \right) = F_{122}\! \left(x \right)
F_{122}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{33}\! \left(x \right)
F_{123}\! \left(x \right) = F_{69}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)
F_{125}\! \left(x \right) = F_{0}\! \left(x \right) F_{126}\! \left(x \right)
F_{126}\! \left(x \right) = -F_{151}\! \left(x \right)+F_{127}\! \left(x \right)
F_{127}\! \left(x \right) = \frac{F_{128}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{128}\! \left(x \right) = F_{129}\! \left(x \right)
F_{129}\! \left(x \right) = -F_{143}\! \left(x \right)+F_{130}\! \left(x \right)
F_{130}\! \left(x \right) = -F_{133}\! \left(x \right)+F_{131}\! \left(x \right)
F_{131}\! \left(x \right) = \frac{F_{132}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{132}\! \left(x \right) = F_{109}\! \left(x \right)
F_{133}\! \left(x \right) = F_{134}\! \left(x \right)+F_{148}\! \left(x \right)
F_{134}\! \left(x \right) = -F_{142}\! \left(x \right)+F_{135}\! \left(x \right)
F_{135}\! \left(x \right) = F_{136}\! \left(x \right)+F_{137}\! \left(x \right)
F_{136}\! \left(x \right) = F_{0} \left(x \right)^{2}
F_{137}\! \left(x \right) = F_{138}\! \left(x \right)
F_{138}\! \left(x \right) = F_{0}\! \left(x \right) F_{139}\! \left(x \right) F_{4}\! \left(x \right)
F_{139}\! \left(x \right) = F_{120}\! \left(x \right)+F_{140}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right)
F_{141}\! \left(x \right) = F_{19}\! \left(x \right) F_{4}\! \left(x \right) F_{47}\! \left(x \right)
F_{142}\! \left(x \right) = F_{0}\! \left(x \right)+F_{143}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right)
F_{144}\! \left(x \right) = F_{0}\! \left(x \right) F_{145}\! \left(x \right) F_{4}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right)+F_{33}\! \left(x \right)
F_{146}\! \left(x \right) = F_{147}\! \left(x \right)
F_{147}\! \left(x \right) = F_{0}\! \left(x \right) F_{4}\! \left(x \right) F_{47}\! \left(x \right)
F_{148}\! \left(x \right) = F_{149}\! \left(x \right)
F_{149}\! \left(x \right) = F_{150}\! \left(x \right) F_{33}\! \left(x \right) F_{4}\! \left(x \right)
F_{150}\! \left(x \right) = F_{129}\! \left(x \right)+F_{32}\! \left(x \right)
F_{151}\! \left(x \right) = F_{0}\! \left(x \right) F_{152}\! \left(x \right)
F_{152}\! \left(x \right) = F_{153}\! \left(x \right)
F_{153}\! \left(x \right) = F_{154}\! \left(x \right) F_{4}\! \left(x \right)
F_{154}\! \left(x \right) = F_{155}\! \left(x \right)+F_{205}\! \left(x \right)
F_{155}\! \left(x \right) = F_{156}\! \left(x \right) F_{47}\! \left(x \right)
F_{156}\! \left(x \right) = F_{157}\! \left(x \right)+F_{176}\! \left(x \right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right)+F_{161}\! \left(x \right)
F_{158}\! \left(x \right) = F_{159}\! \left(x \right)+F_{160}\! \left(x \right)
F_{159}\! \left(x \right) = F_{1}\! \left(x \right)+F_{4}\! \left(x \right)
F_{160}\! \left(x \right) = F_{4}\! \left(x \right)
F_{161}\! \left(x \right) = F_{162}\! \left(x \right)+F_{175}\! \left(x \right)
F_{162}\! \left(x \right) = F_{163}\! \left(x \right)+F_{73}\! \left(x \right)
F_{163}\! \left(x \right) = F_{164}\! \left(x \right)+F_{174}\! \left(x \right)+F_{85}\! \left(x \right)
F_{164}\! \left(x \right) = F_{165}\! \left(x \right) F_{4}\! \left(x \right)
F_{165}\! \left(x \right) = F_{166}\! \left(x \right)+F_{167}\! \left(x \right)
F_{166}\! \left(x \right) = F_{163}\! \left(x \right)+F_{4}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right)+F_{171}\! \left(x \right)
F_{168}\! \left(x \right) = F_{169}\! \left(x \right)
F_{169}\! \left(x \right) = F_{170}\! \left(x \right) F_{4}\! \left(x \right)
F_{170}\! \left(x \right) = F_{168}\! \left(x \right)+F_{4}\! \left(x \right)
F_{171}\! \left(x \right) = F_{172}\! \left(x \right)
F_{172}\! \left(x \right) = F_{173}\! \left(x \right) F_{4}\! \left(x \right)
F_{173}\! \left(x \right) = F_{163}\! \left(x \right)+F_{171}\! \left(x \right)
F_{174}\! \left(x \right) = F_{4}\! \left(x \right) F_{77}\! \left(x \right)
F_{175}\! \left(x \right) = F_{163}\! \left(x \right)
F_{176}\! \left(x \right) = F_{177}\! \left(x \right)+F_{184}\! \left(x \right)
F_{177}\! \left(x \right) = F_{178}\! \left(x \right)+F_{183}\! \left(x \right)
F_{178}\! \left(x \right) = F_{179}\! \left(x \right)+F_{48}\! \left(x \right)
F_{179}\! \left(x \right) = F_{180}\! \left(x \right)+F_{182}\! \left(x \right)+F_{85}\! \left(x \right)
F_{180}\! \left(x \right) = F_{181}\! \left(x \right) F_{4}\! \left(x \right)
F_{181}\! \left(x \right) = F_{179}\! \left(x \right)+F_{4}\! \left(x \right)
F_{182}\! \left(x \right) = F_{4}\! \left(x \right) F_{48}\! \left(x \right)
F_{183}\! \left(x \right) = F_{179}\! \left(x \right)
F_{184}\! \left(x \right) = F_{185}\! \left(x \right)+F_{204}\! \left(x \right)
F_{185}\! \left(x \right) = F_{186}\! \left(x \right)+F_{84}\! \left(x \right)
F_{186}\! \left(x \right) = F_{187}\! \left(x \right)+F_{189}\! \left(x \right)+F_{203}\! \left(x \right)+F_{85}\! \left(x \right)
F_{187}\! \left(x \right) = F_{188}\! \left(x \right) F_{4}\! \left(x \right)
F_{188}\! \left(x \right) = F_{163}\! \left(x \right)+F_{186}\! \left(x \right)
F_{189}\! \left(x \right) = F_{190}\! \left(x \right) F_{4}\! \left(x \right)
F_{190}\! \left(x \right) = F_{191}\! \left(x \right)+F_{192}\! \left(x \right)
F_{191}\! \left(x \right) = F_{179}\! \left(x \right)+F_{186}\! \left(x \right)
F_{192}\! \left(x \right) = F_{193}\! \left(x \right)+F_{198}\! \left(x \right)
F_{193}\! \left(x \right) = 2 F_{85}\! \left(x \right)+F_{194}\! \left(x \right)+F_{196}\! \left(x \right)
F_{194}\! \left(x \right) = F_{195}\! \left(x \right) F_{4}\! \left(x \right)
F_{195}\! \left(x \right) = F_{168}\! \left(x \right)+F_{193}\! \left(x \right)
F_{196}\! \left(x \right) = F_{197}\! \left(x \right) F_{4}\! \left(x \right)
F_{197}\! \left(x \right) = F_{179}\! \left(x \right)+F_{193}\! \left(x \right)
F_{198}\! \left(x \right) = 3 F_{85}\! \left(x \right)+F_{199}\! \left(x \right)+F_{201}\! \left(x \right)
F_{199}\! \left(x \right) = F_{200}\! \left(x \right) F_{4}\! \left(x \right)
F_{200}\! \left(x \right) = F_{171}\! \left(x \right)+F_{198}\! \left(x \right)
F_{201}\! \left(x \right) = F_{202}\! \left(x \right) F_{4}\! \left(x \right)
F_{202}\! \left(x \right) = F_{186}\! \left(x \right)+F_{198}\! \left(x \right)
F_{203}\! \left(x \right) = F_{4}\! \left(x \right) F_{91}\! \left(x \right)
F_{204}\! \left(x \right) = F_{186}\! \left(x \right)
F_{205}\! \left(x \right) = F_{181}\! \left(x \right) F_{206}\! \left(x \right)
F_{206}\! \left(x \right) = F_{207}\! \left(x \right)+F_{208}\! \left(x \right)
F_{207}\! \left(x \right) = F_{159}\! \left(x \right)+F_{162}\! \left(x \right)
F_{208}\! \left(x \right) = F_{178}\! \left(x \right)+F_{185}\! \left(x \right)
F_{209}\! \left(x \right) = F_{210}\! \left(x \right)
F_{210}\! \left(x \right) = F_{211}\! \left(x \right) F_{24}\! \left(x \right) F_{4}\! \left(x \right)
F_{211}\! \left(x \right) = -F_{262}\! \left(x \right)+F_{212}\! \left(x \right)
F_{212}\! \left(x \right) = -F_{215}\! \left(x \right)+F_{213}\! \left(x \right)
F_{213}\! \left(x \right) = \frac{F_{214}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{214}\! \left(x \right) = F_{109}\! \left(x \right)
F_{215}\! \left(x \right) = F_{216}\! \left(x \right)+F_{62}\! \left(x \right)
F_{216}\! \left(x \right) = F_{217}\! \left(x \right)+F_{218}\! \left(x \right)
F_{217}\! \left(x \right) = F_{0}\! \left(x \right) F_{2}\! \left(x \right)
F_{218}\! \left(x \right) = F_{219}\! \left(x \right)
F_{219}\! \left(x \right) = F_{220}\! \left(x \right) F_{4}\! \left(x \right)
F_{220}\! \left(x \right) = F_{221}\! \left(x \right)+F_{222}\! \left(x \right)
F_{221}\! \left(x \right) = F_{122}\! \left(x \right) F_{24}\! \left(x \right)
F_{222}\! \left(x \right) = F_{0}\! \left(x \right) F_{223}\! \left(x \right)
F_{223}\! \left(x \right) = -F_{227}\! \left(x \right)+F_{224}\! \left(x \right)
F_{224}\! \left(x \right) = \frac{F_{225}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{225}\! \left(x \right) = F_{226}\! \left(x \right)
F_{226}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{122}\! \left(x \right)
F_{227}\! \left(x \right) = F_{228}\! \left(x \right)+F_{229}\! \left(x \right)
F_{228}\! \left(x \right) = F_{2}\! \left(x \right) F_{33}\! \left(x \right)
F_{229}\! \left(x \right) = F_{230}\! \left(x \right)
F_{230}\! \left(x \right) = F_{231}\! \left(x \right) F_{4}\! \left(x \right)
F_{231}\! \left(x \right) = F_{232}\! \left(x \right)+F_{237}\! \left(x \right)
F_{232}\! \left(x \right) = F_{233}\! \left(x \right)
F_{233}\! \left(x \right) = F_{19}\! \left(x \right) F_{234}\! \left(x \right)
F_{234}\! \left(x \right) = F_{235}\! \left(x \right)
F_{235}\! \left(x \right) = F_{236}\! \left(x \right) F_{4}\! \left(x \right) F_{47}\! \left(x \right)
F_{236}\! \left(x \right) = F_{24}\! \left(x \right)+F_{36}\! \left(x \right)
F_{237}\! \left(x \right) = F_{19}\! \left(x \right) F_{238}\! \left(x \right)
F_{238}\! \left(x \right) = -F_{261}\! \left(x \right)+F_{239}\! \left(x \right)
F_{239}\! \left(x \right) = \frac{F_{240}\! \left(x \right)}{F_{79}\! \left(x \right)}
F_{240}\! \left(x \right) = -F_{259}\! \left(x \right)+F_{241}\! \left(x \right)
F_{241}\! \left(x \right) = \frac{F_{242}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{242}\! \left(x \right) = F_{243}\! \left(x \right)
F_{243}\! \left(x \right) = F_{244}\! \left(x \right) F_{4}\! \left(x \right) F_{79}\! \left(x \right)
F_{244}\! \left(x \right) = \frac{F_{245}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{245}\! \left(x \right) = F_{246}\! \left(x \right)
F_{246}\! \left(x \right) = F_{247}\! \left(x \right)+F_{253}\! \left(x \right)
F_{247}\! \left(x \right) = F_{2}\! \left(x \right)+F_{248}\! \left(x \right)
F_{248}\! \left(x \right) = F_{249}\! \left(x \right)
F_{249}\! \left(x \right) = F_{250}\! \left(x \right) F_{4}\! \left(x \right)
F_{250}\! \left(x \right) = F_{251}\! \left(x \right)+F_{252}\! \left(x \right)
F_{251}\! \left(x \right) = F_{24}\! \left(x \right) F_{48}\! \left(x \right)
F_{252}\! \left(x \right) = F_{36}\! \left(x \right) F_{47}\! \left(x \right)
F_{253}\! \left(x \right) = F_{254}\! \left(x \right)
F_{254}\! \left(x \right) = F_{255}\! \left(x \right) F_{4}\! \left(x \right) F_{77}\! \left(x \right)
F_{255}\! \left(x \right) = F_{238}\! \left(x \right)+F_{256}\! \left(x \right)
F_{256}\! \left(x \right) = F_{0}\! \left(x \right)+F_{257}\! \left(x \right)
F_{257}\! \left(x \right) = F_{258}\! \left(x \right)
F_{258}\! \left(x \right) = F_{255}\! \left(x \right) F_{4}\! \left(x \right)
F_{259}\! \left(x \right) = F_{260}\! \left(x \right)
F_{260}\! \left(x \right) = F_{79} \left(x \right)^{2} F_{255}\! \left(x \right) F_{4}\! \left(x \right)
F_{261}\! \left(x \right) = F_{116}\! \left(x \right)+F_{234}\! \left(x \right)
F_{262}\! \left(x \right) = F_{263}\! \left(x \right)
F_{263}\! \left(x \right) = F_{4}\! \left(x \right) F_{67}\! \left(x \right)
F_{264}\! \left(x \right) = F_{116}\! \left(x \right) F_{212}\! \left(x \right)
F_{265}\! \left(x \right) = F_{266}\! \left(x \right)
F_{266}\! \left(x \right) = F_{19}\! \left(x \right) F_{256}\! \left(x \right) F_{4}\! \left(x \right)
F_{267}\! \left(x \right) = F_{268}\! \left(x \right)+F_{269}\! \left(x \right)
F_{268}\! \left(x \right) = F_{2}\! \left(x \right) F_{72}\! \left(x \right)
F_{269}\! \left(x \right) = F_{270}\! \left(x \right)
F_{270}\! \left(x \right) = F_{271}\! \left(x \right) F_{4}\! \left(x \right)
F_{271}\! \left(x \right) = F_{272}\! \left(x \right)+F_{345}\! \left(x \right)
F_{272}\! \left(x \right) = F_{2}\! \left(x \right) F_{273}\! \left(x \right)
F_{273}\! \left(x \right) = \frac{F_{274}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{274}\! \left(x \right) = F_{275}\! \left(x \right)
F_{275}\! \left(x \right) = F_{2}\! \left(x \right)+F_{276}\! \left(x \right)
F_{276}\! \left(x \right) = F_{277}\! \left(x \right)
F_{277}\! \left(x \right) = F_{278}\! \left(x \right) F_{4}\! \left(x \right)
F_{278}\! \left(x \right) = \frac{F_{279}\! \left(x \right)}{F_{72}\! \left(x \right)}
F_{279}\! \left(x \right) = -F_{337}\! \left(x \right)+F_{280}\! \left(x \right)
F_{280}\! \left(x \right) = \frac{F_{281}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{281}\! \left(x \right) = F_{282}\! \left(x \right)
F_{282}\! \left(x \right) = -F_{344}\! \left(x \right)+F_{283}\! \left(x \right)
F_{283}\! \left(x \right) = -F_{313}\! \left(x \right)+F_{284}\! \left(x \right)
F_{284}\! \left(x \right) = \frac{F_{285}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{285}\! \left(x \right) = F_{286}\! \left(x \right)
F_{286}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{287}\! \left(x \right)
F_{287}\! \left(x \right) = -F_{288}\! \left(x \right)+F_{5}\! \left(x \right)
F_{288}\! \left(x \right) = F_{1}\! \left(x \right)+F_{289}\! \left(x \right)
F_{289}\! \left(x \right) = F_{290}\! \left(x \right)
F_{290}\! \left(x \right) = F_{291}\! \left(x \right) F_{4}\! \left(x \right)
F_{291}\! \left(x \right) = F_{292}\! \left(x \right)+F_{72}\! \left(x \right)
F_{292}\! \left(x \right) = F_{293}\! \left(x \right)+F_{300}\! \left(x \right)
F_{293}\! \left(x \right) = F_{294}\! \left(x \right)
F_{294}\! \left(x \right) = F_{295}\! \left(x \right) F_{4}\! \left(x \right)
F_{295}\! \left(x \right) = F_{296}\! \left(x \right)+F_{79}\! \left(x \right)
F_{296}\! \left(x \right) = F_{297}\! \left(x \right)+F_{4}\! \left(x \right)
F_{297}\! \left(x \right) = F_{298}\! \left(x \right)+F_{299}\! \left(x \right)+F_{85}\! \left(x \right)
F_{298}\! \left(x \right) = F_{4}\! \left(x \right) F_{77}\! \left(x \right)
F_{299}\! \left(x \right) = F_{296}\! \left(x \right) F_{4}\! \left(x \right)
F_{300}\! \left(x \right) = F_{301}\! \left(x \right)+F_{306}\! \left(x \right)+F_{85}\! \left(x \right)
F_{301}\! \left(x \right) = F_{302}\! \left(x \right) F_{4}\! \left(x \right)
F_{302}\! \left(x \right) = F_{303}\! \left(x \right)+F_{82}\! \left(x \right)
F_{303}\! \left(x \right) = F_{304}\! \left(x \right)+F_{310}\! \left(x \right)
F_{304}\! \left(x \right) = F_{305}\! \left(x \right)+F_{306}\! \left(x \right)+F_{85}\! \left(x \right)
F_{305}\! \left(x \right) = F_{4}\! \left(x \right) F_{73}\! \left(x \right)
F_{306}\! \left(x \right) = F_{307}\! \left(x \right) F_{4}\! \left(x \right)
F_{307}\! \left(x \right) = F_{308}\! \left(x \right)+F_{309}\! \left(x \right)
F_{308}\! \left(x \right) = F_{304}\! \left(x \right)+F_{4}\! \left(x \right)
F_{309}\! \left(x \right) = F_{297}\! \left(x \right)+F_{310}\! \left(x \right)
F_{310}\! \left(x \right) = 2 F_{85}\! \left(x \right)+F_{311}\! \left(x \right)+F_{312}\! \left(x \right)
F_{311}\! \left(x \right) = F_{4}\! \left(x \right) F_{80}\! \left(x \right)
F_{312}\! \left(x \right) = F_{303}\! \left(x \right) F_{4}\! \left(x \right)
F_{313}\! \left(x \right) = -F_{314}\! \left(x \right)+F_{8}\! \left(x \right)
F_{314}\! \left(x \right) = F_{10}\! \left(x \right)+F_{315}\! \left(x \right)
F_{315}\! \left(x \right) = F_{316}\! \left(x \right)+F_{331}\! \left(x \right)
F_{316}\! \left(x \right) = F_{317}\! \left(x \right)+F_{73}\! \left(x \right)
F_{317}\! \left(x \right) = F_{318}\! \left(x \right)+F_{323}\! \left(x \right)+F_{85}\! \left(x \right)
F_{318}\! \left(x \right) = F_{319}\! \left(x \right) F_{4}\! \left(x \right)
F_{319}\! \left(x \right) = F_{320}\! \left(x \right)+F_{321}\! \left(x \right)
F_{320}\! \left(x \right) = F_{317}\! \left(x \right)+F_{73}\! \left(x \right)
F_{321}\! \left(x \right) = F_{322}\! \left(x \right)+F_{326}\! \left(x \right)
F_{322}\! \left(x \right) = F_{305}\! \left(x \right)+F_{323}\! \left(x \right)+F_{85}\! \left(x \right)
F_{323}\! \left(x \right) = F_{324}\! \left(x \right) F_{4}\! \left(x \right)
F_{324}\! \left(x \right) = F_{325}\! \left(x \right)
F_{325}\! \left(x \right) = F_{322}\! \left(x \right)+F_{4}\! \left(x \right)
F_{326}\! \left(x \right) = F_{327}\! \left(x \right)+F_{328}\! \left(x \right)+F_{330}\! \left(x \right)+F_{85}\! \left(x \right)
F_{327}\! \left(x \right) = F_{317}\! \left(x \right) F_{4}\! \left(x \right)
F_{328}\! \left(x \right) = F_{329}\! \left(x \right) F_{4}\! \left(x \right)
F_{329}\! \left(x \right) = F_{321}\! \left(x \right)
F_{330}\! \left(x \right) = 0
F_{331}\! \left(x \right) = F_{332}\! \left(x \right)+F_{333}\! \left(x \right)
F_{332}\! \left(x \right) = F_{2}\! \left(x \right) F_{73}\! \left(x \right)
F_{333}\! \left(x \right) = F_{334}\! \left(x \right)
F_{334}\! \left(x \right) = F_{335}\! \left(x \right) F_{4}\! \left(x \right)
F_{335}\! \left(x \right) = F_{336}\! \left(x \right)+F_{337}\! \left(x \right)
F_{336}\! \left(x \right) = F_{278}\! \left(x \right) F_{73}\! \left(x \right)
F_{337}\! \left(x \right) = F_{338}\! \left(x \right)+F_{340}\! \left(x \right)
F_{338}\! \left(x \right) = F_{339}\! \left(x \right)
F_{339}\! \left(x \right) = F_{331}\! \left(x \right)
F_{340}\! \left(x \right) = F_{341}\! \left(x \right)
F_{341}\! \left(x \right) = F_{342}\! \left(x \right) F_{4}\! \left(x \right) F_{72}\! \left(x \right) F_{79}\! \left(x \right)
F_{342}\! \left(x \right) = -F_{343}\! \left(x \right)+F_{278}\! \left(x \right)
F_{343}\! \left(x \right) = \frac{F_{339}\! \left(x \right)}{F_{4}\! \left(x \right) F_{72}\! \left(x \right) F_{79}\! \left(x \right)}
F_{344}\! \left(x \right) = F_{2}\! \left(x \right) F_{72}\! \left(x \right)
F_{345}\! \left(x \right) = F_{257}\! \left(x \right) F_{346}\! \left(x \right)
F_{346}\! \left(x \right) = \frac{F_{347}\! \left(x \right)}{F_{4}\! \left(x \right) F_{47}\! \left(x \right)}
F_{347}\! \left(x \right) = F_{348}\! \left(x \right)
F_{348}\! \left(x \right) = -F_{365}\! \left(x \right)+F_{349}\! \left(x \right)
F_{349}\! \left(x \right) = F_{350}\! \left(x \right)
F_{350}\! \left(x \right) = F_{351}\! \left(x \right) F_{4}\! \left(x \right) F_{47}\! \left(x \right)
F_{351}\! \left(x \right) = \frac{F_{352}\! \left(x \right)}{F_{4}\! \left(x \right) F_{47}\! \left(x \right)}
F_{352}\! \left(x \right) = F_{353}\! \left(x \right)
F_{353}\! \left(x \right) = F_{354}\! \left(x \right)
F_{354}\! \left(x \right) = F_{355}\! \left(x \right) F_{4}\! \left(x \right)
F_{355}\! \left(x \right) = F_{356}\! \left(x \right)+F_{360}\! \left(x \right)
F_{356}\! \left(x \right) = F_{357}\! \left(x \right) F_{47}\! \left(x \right)
F_{357}\! \left(x \right) = F_{353}\! \left(x \right)+F_{358}\! \left(x \right)
F_{358}\! \left(x \right) = F_{342}\! \left(x \right)+F_{359}\! \left(x \right)
F_{359}\! \left(x \right) = F_{343}\! \left(x \right)+F_{75}\! \left(x \right)
F_{360}\! \left(x \right) = \frac{F_{361}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{361}\! \left(x \right) = F_{362}\! \left(x \right)
F_{362}\! \left(x \right) = F_{363}\! \left(x \right) F_{4}\! \left(x \right)
F_{363}\! \left(x \right) = F_{364}\! \left(x \right)
F_{364}\! \left(x \right) = F_{47} \left(x \right)^{2} F_{351}\! \left(x \right) F_{4}\! \left(x \right)
F_{365}\! \left(x \right) = F_{366}\! \left(x \right)
F_{366}\! \left(x \right) = F_{367}\! \left(x \right) F_{4}\! \left(x \right) F_{47}\! \left(x \right)
F_{367}\! \left(x \right) = F_{368}\! \left(x \right)+F_{369}\! \left(x \right)
F_{368}\! \left(x \right) = -F_{9}\! \left(x \right)+F_{358}\! \left(x \right)
F_{369}\! \left(x \right) = -F_{357}\! \left(x \right)+F_{351}\! \left(x \right)
F_{370}\! \left(x \right) = F_{371}\! \left(x \right)
F_{371}\! \left(x \right) = F_{372}\! \left(x \right) F_{4}\! \left(x \right)
F_{372}\! \left(x \right) = F_{373}\! \left(x \right)+F_{376}\! \left(x \right)
F_{373}\! \left(x \right) = F_{16}\! \left(x \right)+F_{374}\! \left(x \right)
F_{374}\! \left(x \right) = F_{375}\! \left(x \right)
F_{375}\! \left(x \right) = F_{47} \left(x \right)^{2} F_{351}\! \left(x \right) F_{4}\! \left(x \right)
F_{376}\! \left(x \right) = F_{377}\! \left(x \right)+F_{379}\! \left(x \right)
F_{377}\! \left(x \right) = F_{378}\! \left(x \right)
F_{378}\! \left(x \right) = F_{16}\! \left(x \right) F_{4}\! \left(x \right) F_{47}\! \left(x \right)
F_{379}\! \left(x \right) = F_{380}\! \left(x \right)
F_{380}\! \left(x \right) = F_{381}\! \left(x \right) F_{4}\! \left(x \right) F_{47}\! \left(x \right)
F_{381}\! \left(x \right) = F_{360}\! \left(x \right)+F_{382}\! \left(x \right)
F_{382}\! \left(x \right) = F_{383}\! \left(x \right)
F_{383}\! \left(x \right) = F_{181}\! \left(x \right) F_{351}\! \left(x \right)
System of equations in sympy syntax:
Eq(F_0(x), F_1(x) + F_2(x))
Eq(F_1(x), 1)
Eq(F_2(x), F_3(x))
Eq(F_3(x), F_4(x)*F_5(x))
Eq(F_4(x), x)
Eq(F_5(x), F_0(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_4(x)*F_8(x))
Eq(F_8(x), F_370(x) + F_9(x))
Eq(F_9(x), F_10(x) + F_267(x))
Eq(F_10(x), F_0(x) + F_11(x))
Eq(F_11(x), F_12(x))
Eq(F_12(x), F_13(x)*F_4(x))
Eq(F_13(x), F_14(x) + F_9(x))
Eq(F_14(x), F_15(x))
Eq(F_15(x), F_16(x)*F_4(x))
Eq(F_16(x), F_17(x)/F_4(x))
Eq(F_17(x), F_18(x))
Eq(F_18(x), -F_19(x) + F_9(x))
Eq(F_19(x), F_0(x) + F_20(x))
Eq(F_20(x), F_21(x))
Eq(F_21(x), F_22(x)*F_4(x))
Eq(F_22(x), F_23(x) + F_265(x))
Eq(F_23(x), F_24(x) + F_26(x))
Eq(F_24(x), F_25(x)/F_4(x))
Eq(F_25(x), F_2(x))
Eq(F_26(x), F_27(x) + F_28(x))
Eq(F_27(x), F_0(x)*F_2(x))
Eq(F_28(x), F_29(x))
Eq(F_29(x), F_30(x)*F_4(x))
Eq(F_30(x), F_31(x) + F_35(x))
Eq(F_31(x), F_32(x)*F_33(x))
Eq(F_32(x), -F_0(x) + F_24(x))
Eq(F_33(x), F_34(x)/F_4(x))
Eq(F_34(x), F_2(x))
Eq(F_35(x), F_19(x)*F_36(x))
Eq(F_36(x), F_37(x))
Eq(F_37(x), F_38(x)*F_4(x))
Eq(F_38(x), F_39(x)/(F_0(x)*F_4(x)))
Eq(F_39(x), F_40(x))
Eq(F_40(x), F_4(x)*F_41(x)*F_47(x))
Eq(F_41(x), F_42(x) + F_55(x))
Eq(F_42(x), F_43(x)/(F_4(x)*F_47(x)))
Eq(F_43(x), F_44(x))
Eq(F_44(x), F_45(x) + F_50(x))
Eq(F_45(x), F_46(x))
Eq(F_46(x), F_0(x)**2*F_4(x)*F_47(x))
Eq(F_47(x), F_1(x) + F_48(x))
Eq(F_48(x), F_49(x))
Eq(F_49(x), F_4(x)*F_47(x))
Eq(F_50(x), F_51(x))
Eq(F_51(x), F_4(x)*F_47(x)*F_52(x))
Eq(F_52(x), F_44(x) + F_53(x))
Eq(F_53(x), F_54(x))
Eq(F_54(x), F_4(x)*F_41(x)*F_47(x))
Eq(F_55(x), F_56(x))
Eq(F_56(x), F_4(x)*F_57(x))
Eq(F_57(x), F_58(x)/(F_4(x)*F_71(x)))
Eq(F_58(x), F_59(x))
Eq(F_59(x), -F_264(x) + F_60(x))
Eq(F_60(x), F_61(x)/F_4(x))
Eq(F_61(x), F_62(x))
Eq(F_62(x), F_209(x) + F_63(x))
Eq(F_63(x), F_64(x))
Eq(F_64(x), F_4(x)*F_65(x))
Eq(F_65(x), F_124(x) + F_66(x))
Eq(F_66(x), F_2(x)*F_67(x))
Eq(F_67(x), F_102(x) + F_68(x))
Eq(F_68(x), F_19(x) + F_69(x))
Eq(F_69(x), F_70(x))
Eq(F_70(x), F_0(x)*F_101(x)*F_4(x)*F_71(x))
Eq(F_71(x), F_72(x) + F_83(x))
Eq(F_72(x), F_1(x) + F_73(x))
Eq(F_73(x), F_74(x))
Eq(F_74(x), F_4(x)*F_75(x))
Eq(F_75(x), F_72(x) + F_76(x))
Eq(F_76(x), F_77(x) + F_80(x))
Eq(F_77(x), F_78(x))
Eq(F_78(x), F_4(x)*F_79(x))
Eq(F_79(x), F_1(x) + F_77(x))
Eq(F_80(x), F_81(x))
Eq(F_81(x), F_4(x)*F_82(x))
Eq(F_82(x), F_73(x) + F_80(x))
Eq(F_83(x), F_48(x) + F_84(x))
Eq(F_84(x), F_85(x) + F_86(x) + F_88(x))
Eq(F_85(x), 0)
Eq(F_86(x), F_4(x)*F_87(x))
Eq(F_87(x), F_73(x) + F_84(x))
Eq(F_88(x), F_4(x)*F_89(x))
Eq(F_89(x), F_83(x) + F_90(x))
Eq(F_90(x), F_91(x) + F_96(x))
Eq(F_91(x), F_85(x) + F_92(x) + F_94(x))
Eq(F_92(x), F_4(x)*F_93(x))
Eq(F_93(x), F_77(x) + F_91(x))
Eq(F_94(x), F_4(x)*F_95(x))
Eq(F_95(x), F_48(x) + F_91(x))
Eq(F_96(x), 2*F_85(x) + F_97(x) + F_99(x))
Eq(F_97(x), F_4(x)*F_98(x))
Eq(F_98(x), F_80(x) + F_96(x))
Eq(F_99(x), F_100(x)*F_4(x))
Eq(F_100(x), F_84(x) + F_96(x))
Eq(F_101(x), F_79(x) + F_95(x))
Eq(F_102(x), F_103(x))
Eq(F_103(x), F_104(x) - F_119(x))
Eq(F_104(x), F_105(x)/F_4(x))
Eq(F_105(x), F_106(x))
Eq(F_106(x), F_107(x) - F_110(x))
Eq(F_107(x), F_108(x)/F_4(x))
Eq(F_108(x), F_109(x))
Eq(F_109(x), -F_2(x) + F_32(x))
Eq(F_110(x), F_111(x) + F_112(x))
Eq(F_111(x), F_2(x)*F_5(x))
Eq(F_112(x), F_113(x))
Eq(F_113(x), F_114(x)*F_4(x))
Eq(F_114(x), F_115(x) + F_118(x))
Eq(F_115(x), F_106(x)*F_116(x))
Eq(F_116(x), F_117(x)/F_4(x))
Eq(F_117(x), F_2(x))
Eq(F_118(x), F_59(x))
Eq(F_119(x), F_120(x) + F_123(x))
Eq(F_120(x), F_121(x)/F_4(x))
Eq(F_121(x), F_122(x))
Eq(F_122(x), -F_0(x) + F_33(x))
Eq(F_123(x), F_69(x))
Eq(F_124(x), F_125(x))
Eq(F_125(x), F_0(x)*F_126(x))
Eq(F_126(x), F_127(x) - F_151(x))
Eq(F_127(x), F_128(x)/F_4(x))
Eq(F_128(x), F_129(x))
Eq(F_129(x), F_130(x) - F_143(x))
Eq(F_130(x), F_131(x) - F_133(x))
Eq(F_131(x), F_132(x)/F_4(x))
Eq(F_132(x), F_109(x))
Eq(F_133(x), F_134(x) + F_148(x))
Eq(F_134(x), F_135(x) - F_142(x))
Eq(F_135(x), F_136(x) + F_137(x))
Eq(F_136(x), F_0(x)**2)
Eq(F_137(x), F_138(x))
Eq(F_138(x), F_0(x)*F_139(x)*F_4(x))
Eq(F_139(x), F_120(x) + F_140(x))
Eq(F_140(x), F_141(x))
Eq(F_141(x), F_19(x)*F_4(x)*F_47(x))
Eq(F_142(x), F_0(x) + F_143(x))
Eq(F_143(x), F_144(x))
Eq(F_144(x), F_0(x)*F_145(x)*F_4(x))
Eq(F_145(x), F_146(x) + F_33(x))
Eq(F_146(x), F_147(x))
Eq(F_147(x), F_0(x)*F_4(x)*F_47(x))
Eq(F_148(x), F_149(x))
Eq(F_149(x), F_150(x)*F_33(x)*F_4(x))
Eq(F_150(x), F_129(x) + F_32(x))
Eq(F_151(x), F_0(x)*F_152(x))
Eq(F_152(x), F_153(x))
Eq(F_153(x), F_154(x)*F_4(x))
Eq(F_154(x), F_155(x) + F_205(x))
Eq(F_155(x), F_156(x)*F_47(x))
Eq(F_156(x), F_157(x) + F_176(x))
Eq(F_157(x), F_158(x) + F_161(x))
Eq(F_158(x), F_159(x) + F_160(x))
Eq(F_159(x), F_1(x) + F_4(x))
Eq(F_160(x), F_4(x))
Eq(F_161(x), F_162(x) + F_175(x))
Eq(F_162(x), F_163(x) + F_73(x))
Eq(F_163(x), F_164(x) + F_174(x) + F_85(x))
Eq(F_164(x), F_165(x)*F_4(x))
Eq(F_165(x), F_166(x) + F_167(x))
Eq(F_166(x), F_163(x) + F_4(x))
Eq(F_167(x), F_168(x) + F_171(x))
Eq(F_168(x), F_169(x))
Eq(F_169(x), F_170(x)*F_4(x))
Eq(F_170(x), F_168(x) + F_4(x))
Eq(F_171(x), F_172(x))
Eq(F_172(x), F_173(x)*F_4(x))
Eq(F_173(x), F_163(x) + F_171(x))
Eq(F_174(x), F_4(x)*F_77(x))
Eq(F_175(x), F_163(x))
Eq(F_176(x), F_177(x) + F_184(x))
Eq(F_177(x), F_178(x) + F_183(x))
Eq(F_178(x), F_179(x) + F_48(x))
Eq(F_179(x), F_180(x) + F_182(x) + F_85(x))
Eq(F_180(x), F_181(x)*F_4(x))
Eq(F_181(x), F_179(x) + F_4(x))
Eq(F_182(x), F_4(x)*F_48(x))
Eq(F_183(x), F_179(x))
Eq(F_184(x), F_185(x) + F_204(x))
Eq(F_185(x), F_186(x) + F_84(x))
Eq(F_186(x), F_187(x) + F_189(x) + F_203(x) + F_85(x))
Eq(F_187(x), F_188(x)*F_4(x))
Eq(F_188(x), F_163(x) + F_186(x))
Eq(F_189(x), F_190(x)*F_4(x))
Eq(F_190(x), F_191(x) + F_192(x))
Eq(F_191(x), F_179(x) + F_186(x))
Eq(F_192(x), F_193(x) + F_198(x))
Eq(F_193(x), F_194(x) + F_196(x) + 2*F_85(x))
Eq(F_194(x), F_195(x)*F_4(x))
Eq(F_195(x), F_168(x) + F_193(x))
Eq(F_196(x), F_197(x)*F_4(x))
Eq(F_197(x), F_179(x) + F_193(x))
Eq(F_198(x), F_199(x) + F_201(x) + 3*F_85(x))
Eq(F_199(x), F_200(x)*F_4(x))
Eq(F_200(x), F_171(x) + F_198(x))
Eq(F_201(x), F_202(x)*F_4(x))
Eq(F_202(x), F_186(x) + F_198(x))
Eq(F_203(x), F_4(x)*F_91(x))
Eq(F_204(x), F_186(x))
Eq(F_205(x), F_181(x)*F_206(x))
Eq(F_206(x), F_207(x) + F_208(x))
Eq(F_207(x), F_159(x) + F_162(x))
Eq(F_208(x), F_178(x) + F_185(x))
Eq(F_209(x), F_210(x))
Eq(F_210(x), F_211(x)*F_24(x)*F_4(x))
Eq(F_211(x), F_212(x) - F_262(x))
Eq(F_212(x), F_213(x) - F_215(x))
Eq(F_213(x), F_214(x)/F_4(x))
Eq(F_214(x), F_109(x))
Eq(F_215(x), F_216(x) + F_62(x))
Eq(F_216(x), F_217(x) + F_218(x))
Eq(F_217(x), F_0(x)*F_2(x))
Eq(F_218(x), F_219(x))
Eq(F_219(x), F_220(x)*F_4(x))
Eq(F_220(x), F_221(x) + F_222(x))
Eq(F_221(x), F_122(x)*F_24(x))
Eq(F_222(x), F_0(x)*F_223(x))
Eq(F_223(x), F_224(x) - F_227(x))
Eq(F_224(x), F_225(x)/F_4(x))
Eq(F_225(x), F_226(x))
Eq(F_226(x), F_122(x) - F_2(x))
Eq(F_227(x), F_228(x) + F_229(x))
Eq(F_228(x), F_2(x)*F_33(x))
Eq(F_229(x), F_230(x))
Eq(F_230(x), F_231(x)*F_4(x))
Eq(F_231(x), F_232(x) + F_237(x))
Eq(F_232(x), F_233(x))
Eq(F_233(x), F_19(x)*F_234(x))
Eq(F_234(x), F_235(x))
Eq(F_235(x), F_236(x)*F_4(x)*F_47(x))
Eq(F_236(x), F_24(x) + F_36(x))
Eq(F_237(x), F_19(x)*F_238(x))
Eq(F_238(x), F_239(x) - F_261(x))
Eq(F_239(x), F_240(x)/F_79(x))
Eq(F_240(x), F_241(x) - F_259(x))
Eq(F_241(x), F_242(x)/F_4(x))
Eq(F_242(x), F_243(x))
Eq(F_243(x), F_244(x)*F_4(x)*F_79(x))
Eq(F_244(x), F_245(x)/F_4(x))
Eq(F_245(x), F_246(x))
Eq(F_246(x), F_247(x) + F_253(x))
Eq(F_247(x), F_2(x) + F_248(x))
Eq(F_248(x), F_249(x))
Eq(F_249(x), F_250(x)*F_4(x))
Eq(F_250(x), F_251(x) + F_252(x))
Eq(F_251(x), F_24(x)*F_48(x))
Eq(F_252(x), F_36(x)*F_47(x))
Eq(F_253(x), F_254(x))
Eq(F_254(x), F_255(x)*F_4(x)*F_77(x))
Eq(F_255(x), F_238(x) + F_256(x))
Eq(F_256(x), F_0(x) + F_257(x))
Eq(F_257(x), F_258(x))
Eq(F_258(x), F_255(x)*F_4(x))
Eq(F_259(x), F_260(x))
Eq(F_260(x), F_255(x)*F_4(x)*F_79(x)**2)
Eq(F_261(x), F_116(x) + F_234(x))
Eq(F_262(x), F_263(x))
Eq(F_263(x), F_4(x)*F_67(x))
Eq(F_264(x), F_116(x)*F_212(x))
Eq(F_265(x), F_266(x))
Eq(F_266(x), F_19(x)*F_256(x)*F_4(x))
Eq(F_267(x), F_268(x) + F_269(x))
Eq(F_268(x), F_2(x)*F_72(x))
Eq(F_269(x), F_270(x))
Eq(F_270(x), F_271(x)*F_4(x))
Eq(F_271(x), F_272(x) + F_345(x))
Eq(F_272(x), F_2(x)*F_273(x))
Eq(F_273(x), F_274(x)/F_4(x))
Eq(F_274(x), F_275(x))
Eq(F_275(x), F_2(x) + F_276(x))
Eq(F_276(x), F_277(x))
Eq(F_277(x), F_278(x)*F_4(x))
Eq(F_278(x), F_279(x)/F_72(x))
Eq(F_279(x), F_280(x) - F_337(x))
Eq(F_280(x), F_281(x)/F_4(x))
Eq(F_281(x), F_282(x))
Eq(F_282(x), F_283(x) - F_344(x))
Eq(F_283(x), F_284(x) - F_313(x))
Eq(F_284(x), F_285(x)/F_4(x))
Eq(F_285(x), F_286(x))
Eq(F_286(x), -F_2(x) + F_287(x))
Eq(F_287(x), -F_288(x) + F_5(x))
Eq(F_288(x), F_1(x) + F_289(x))
Eq(F_289(x), F_290(x))
Eq(F_290(x), F_291(x)*F_4(x))
Eq(F_291(x), F_292(x) + F_72(x))
Eq(F_292(x), F_293(x) + F_300(x))
Eq(F_293(x), F_294(x))
Eq(F_294(x), F_295(x)*F_4(x))
Eq(F_295(x), F_296(x) + F_79(x))
Eq(F_296(x), F_297(x) + F_4(x))
Eq(F_297(x), F_298(x) + F_299(x) + F_85(x))
Eq(F_298(x), F_4(x)*F_77(x))
Eq(F_299(x), F_296(x)*F_4(x))
Eq(F_300(x), F_301(x) + F_306(x) + F_85(x))
Eq(F_301(x), F_302(x)*F_4(x))
Eq(F_302(x), F_303(x) + F_82(x))
Eq(F_303(x), F_304(x) + F_310(x))
Eq(F_304(x), F_305(x) + F_306(x) + F_85(x))
Eq(F_305(x), F_4(x)*F_73(x))
Eq(F_306(x), F_307(x)*F_4(x))
Eq(F_307(x), F_308(x) + F_309(x))
Eq(F_308(x), F_304(x) + F_4(x))
Eq(F_309(x), F_297(x) + F_310(x))
Eq(F_310(x), F_311(x) + F_312(x) + 2*F_85(x))
Eq(F_311(x), F_4(x)*F_80(x))
Eq(F_312(x), F_303(x)*F_4(x))
Eq(F_313(x), -F_314(x) + F_8(x))
Eq(F_314(x), F_10(x) + F_315(x))
Eq(F_315(x), F_316(x) + F_331(x))
Eq(F_316(x), F_317(x) + F_73(x))
Eq(F_317(x), F_318(x) + F_323(x) + F_85(x))
Eq(F_318(x), F_319(x)*F_4(x))
Eq(F_319(x), F_320(x) + F_321(x))
Eq(F_320(x), F_317(x) + F_73(x))
Eq(F_321(x), F_322(x) + F_326(x))
Eq(F_322(x), F_305(x) + F_323(x) + F_85(x))
Eq(F_323(x), F_324(x)*F_4(x))
Eq(F_324(x), F_325(x))
Eq(F_325(x), F_322(x) + F_4(x))
Eq(F_326(x), F_327(x) + F_328(x) + F_330(x) + F_85(x))
Eq(F_327(x), F_317(x)*F_4(x))
Eq(F_328(x), F_329(x)*F_4(x))
Eq(F_329(x), F_321(x))
Eq(F_330(x), 0)
Eq(F_331(x), F_332(x) + F_333(x))
Eq(F_332(x), F_2(x)*F_73(x))
Eq(F_333(x), F_334(x))
Eq(F_334(x), F_335(x)*F_4(x))
Eq(F_335(x), F_336(x) + F_337(x))
Eq(F_336(x), F_278(x)*F_73(x))
Eq(F_337(x), F_338(x) + F_340(x))
Eq(F_338(x), F_339(x))
Eq(F_339(x), F_331(x))
Eq(F_340(x), F_341(x))
Eq(F_341(x), F_342(x)*F_4(x)*F_72(x)*F_79(x))
Eq(F_342(x), F_278(x) - F_343(x))
Eq(F_343(x), F_339(x)/(F_4(x)*F_72(x)*F_79(x)))
Eq(F_344(x), F_2(x)*F_72(x))
Eq(F_345(x), F_257(x)*F_346(x))
Eq(F_346(x), F_347(x)/(F_4(x)*F_47(x)))
Eq(F_347(x), F_348(x))
Eq(F_348(x), F_349(x) - F_365(x))
Eq(F_349(x), F_350(x))
Eq(F_350(x), F_351(x)*F_4(x)*F_47(x))
Eq(F_351(x), F_352(x)/(F_4(x)*F_47(x)))
Eq(F_352(x), F_353(x))
Eq(F_353(x), F_354(x))
Eq(F_354(x), F_355(x)*F_4(x))
Eq(F_355(x), F_356(x) + F_360(x))
Eq(F_356(x), F_357(x)*F_47(x))
Eq(F_357(x), F_353(x) + F_358(x))
Eq(F_358(x), F_342(x) + F_359(x))
Eq(F_359(x), F_343(x) + F_75(x))
Eq(F_360(x), F_361(x)/F_4(x))
Eq(F_361(x), F_362(x))
Eq(F_362(x), F_363(x)*F_4(x))
Eq(F_363(x), F_364(x))
Eq(F_364(x), F_351(x)*F_4(x)*F_47(x)**2)
Eq(F_365(x), F_366(x))
Eq(F_366(x), F_367(x)*F_4(x)*F_47(x))
Eq(F_367(x), F_368(x) + F_369(x))
Eq(F_368(x), F_358(x) - F_9(x))
Eq(F_369(x), F_351(x) - F_357(x))
Eq(F_370(x), F_371(x))
Eq(F_371(x), F_372(x)*F_4(x))
Eq(F_372(x), F_373(x) + F_376(x))
Eq(F_373(x), F_16(x) + F_374(x))
Eq(F_374(x), F_375(x))
Eq(F_375(x), F_351(x)*F_4(x)*F_47(x)**2)
Eq(F_376(x), F_377(x) + F_379(x))
Eq(F_377(x), F_378(x))
Eq(F_378(x), F_16(x)*F_4(x)*F_47(x))
Eq(F_379(x), F_380(x))
Eq(F_380(x), F_381(x)*F_4(x)*F_47(x))
Eq(F_381(x), F_360(x) + F_382(x))
Eq(F_382(x), F_383(x))
Eq(F_383(x), F_181(x)*F_351(x))
Pack JSON:
{"name": "point_placements_req_corrob", "initial_strats": [{"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 3, 1, 4, 2], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [0, 4, 1, 3, 2], [0, 4, 3, 1, 2], [0, 4, 3, 2, 1], [3, 0, 1, 4, 2], [3, 0, 4, 1, 2], [3, 0, 4, 2, 1]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 3, 1, 4, 2], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [0, 4, 1, 3, 2], [0, 4, 3, 1, 2], [0, 4, 3, 2, 1], [3, 0, 1, 4, 2], [3, 0, 4, 1, 2], [3, 0, 4, 2, 1]], "symmetry": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"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, 1, 3, 2], "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": [3, 0, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 2], [0, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 2], [0, 0], [0, 2]]}, {"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, 0], [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": [2, 0, 1, 3], "pos": [[0, 2], [0, 0], [0, 0], [0, 2]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 2], [0, 0], [0, 2], [0, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"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, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 1, 3, 2], "pos": [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 1, 3, 2], "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": [3, 0, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [3, 0, 1, 4, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 1], [0, 0], [0, 1]]}, {"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, 0], [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": [2, 0, 1, 3], "pos": [[0, 1], [0, 0], [0, 0], [0, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 1], [0, 0], [0, 1], [0, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": 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[[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.factor", "strategy_class": "FactorStrategy", "ignore_parent": true, "workable": true, "partition": [[[0, 0], [0, 2]], [[1, 1]]]}}, "idx": 0}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], 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{"patt": [1, 2, 0], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 0], "pos": [[0, 0], [0, 1], [0, 0]]}, {"patt": [1, 2, 0], "pos": [[0, 0], [0, 2], [0, 0]]}, {"patt": [2, 1, 0], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [2, 1, 0], "pos": [[0, 1], [0, 0], [0, 0]]}, {"patt": [2, 1, 0], "pos": [[0, 2], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 2, 0], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 0], "pos": [[0, 0], [0, 1], [0, 0]]}, {"patt": [2, 1, 0], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [2, 1, 0], "pos": [[0, 1], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 2]]}, {"patt": [0, 1], "pos": [[0, 2], [0, 2]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 2], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 2], [0, 2]]}, {"patt": [1, 2, 0], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 0], "pos": [[0, 0], [0, 1], [0, 0]]}, {"patt": [1, 2, 0], "pos": [[0, 0], [0, 2], [0, 0]]}, {"patt": [2, 1, 0], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [2, 1, 0], "pos": [[0, 1], [0, 0], [0, 0]]}, {"patt": [2, 1, 0], "pos": [[0, 2], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 1]]}], [{"patt": [0], "pos": [[0, 2]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementInsertionStrategy", "ignore_parent": true, "gps": [{"patt": [0], "pos": [[0, 2]]}]}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalenceRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 2]]}, {"patt": [0, 1], "pos": [[0, 2], [0, 2]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 2], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 2], [0, 2]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 2]]}, {"patt": [0, 1], "pos": [[0, 2], [0, 2]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 2], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 2], [0, 2]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 1]]}], [{"patt": [0], "pos": [[0, 2]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementInsertionStrategy", "ignore_parent": true, "gps": [{"patt": [0], "pos": [[0, 2]]}]}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalenceRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [0, 1], "pos": [[0, 2], [0, 2]]}, {"patt": [0, 1], "pos": [[0, 2], [0, 3]]}, {"patt": [0, 1], "pos": [[0, 3], [0, 3]]}, {"patt": [1, 0], "pos": [[0, 2], [0, 2]]}, {"patt": [1, 0], "pos": [[0, 3], [0, 2]]}, {"patt": [1, 0], "pos": [[0, 3], [0, 3]]}, {"patt": [1, 2, 0], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [1, 2, 0], "pos": [[0, 1], [0, 2], [0, 1]]}, {"patt": [1, 2, 0], "pos": [[0, 1], [0, 3], [0, 1]]}, {"patt": [2, 1, 0], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [2, 1, 0], "pos": [[0, 2], [0, 1], [0, 1]]}, {"patt": [2, 1, 0], "pos": [[0, 3], [0, 1], [0, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 1]]}], [{"patt": [0], "pos": [[0, 2]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [0, 1], "pos": [[0, 2], [0, 2]]}, {"patt": [1, 0], "pos": [[0, 2], [0, 2]]}, {"patt": [1, 2, 0], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [1, 2, 0], "pos": [[0, 1], [0, 2], [0, 1]]}, {"patt": [2, 1, 0], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [2, 1, 0], "pos": [[0, 2], [0, 1], [0, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 1]]}], [{"patt": [0], "pos": [[0, 2]]}]], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [0, 1], "pos": [[0, 2], [0, 2]]}, {"patt": [0, 1], "pos": [[0, 2], [0, 3]]}, {"patt": [0, 1], "pos": [[0, 3], [0, 3]]}, {"patt": [1, 0], "pos": [[0, 2], [0, 2]]}, {"patt": [1, 0], "pos": [[0, 3], [0, 2]]}, {"patt": [1, 0], "pos": [[0, 3], [0, 3]]}, {"patt": [1, 2, 0], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [1, 2, 0], "pos": [[0, 1], [0, 2], [0, 1]]}, {"patt": [1, 2, 0], "pos": [[0, 1], [0, 3], [0, 1]]}, {"patt": [2, 1, 0], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [2, 1, 0], "pos": [[0, 2], [0, 1], [0, 1]]}, {"patt": [2, 1, 0], "pos": [[0, 3], [0, 1], [0, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 1]]}], [{"patt": [0], "pos": [[0, 2]]}], [{"patt": [0], "pos": [[0, 3]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementInsertionStrategy", "ignore_parent": true, "gps": [{"patt": [0], "pos": [[0, 3]]}]}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "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": [[1, 0]]}, {"patt": [0], "pos": [[2, 0]]}, {"patt": [0], "pos": [[3, 1]]}, {"patt": [0], "pos": [[4, 0]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [1, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [2, 1]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1], "pos": [[1, 1], [2, 1]]}, {"patt": [0, 1], "pos": [[2, 1], [2, 1]]}, {"patt": [0, 1], "pos": [[3, 0], [3, 0]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [2, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [2, 1]]}, {"patt": [1, 0], "pos": [[2, 1], [2, 1]]}, {"patt": [1, 0], "pos": [[3, 0], [3, 0]]}, {"patt": [1, 2, 0], "pos": [[0, 1], [4, 1], [4, 1]]}, {"patt": [1, 2, 0], "pos": [[1, 1], [4, 1], [4, 1]]}, {"patt": [1, 2, 0], "pos": [[2, 1], [4, 1], [4, 1]]}, {"patt": [1, 2, 0], "pos": [[4, 1], [4, 1], [4, 1]]}, {"patt": [2, 1, 0], "pos": [[0, 1], [4, 1], [4, 1]]}, {"patt": [2, 1, 0], "pos": [[1, 1], [4, 1], [4, 1]]}, {"patt": [2, 1, 0], "pos": [[2, 1], [4, 1], [4, 1]]}, {"patt": [2, 1, 0], "pos": [[4, 1], [4, 1], [4, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}], [{"patt": [0], "pos": [[1, 1]]}], [{"patt": [0], "pos": [[3, 0]]}]], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}]}
Specification 5
Strategy pack name: point_and_col_placements_req_corrob
Tree: http://permpal.com/tree/25512/
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[11,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[2,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[11,x]*F[8,x]
F[8,x] = F[260,x]+F[9,x]
F[9,x] = F[10,x]
F[10,x] = F[11,x]*F[12,x]
F[11,x] = x
F[12,x] = 1/F[11,x]*F[13,x]
F[13,x] = F[14,x]
F[14,x] = F[15,x]+F[204,x]
F[15,x] = F[16,x]
F[16,x] = -F[203,x]+F[17,x]
F[17,x] = F[18,x]+F[33,x]
F[18,x] = F[19,x]+F[198,x]
F[19,x] = F[1,x]+F[197,x]+F[20,x]
F[20,x] = F[11,x]*F[21,x]
F[21,x] = 1/F[11,x]*F[22,x]
F[22,x] = -F[1,x]-F[25,x]+F[23,x]
F[23,x] = 1/F[11,x]*F[24,x]
F[24,x] = F[2,x]
F[25,x] = F[11,x]*F[26,x]
F[26,x] = F[19,x]+F[27,x]
F[27,x] = F[28,x]
F[28,x] = F[11,x]*F[29,x]
F[29,x] = F[30,x]+F[70,x]
F[30,x] = F[31,x]+F[33,x]
F[31,x] = 1/F[11,x]*F[32,x]
F[32,x] = F[5,x]
F[33,x] = F[34,x]
F[34,x] = F[35,x]
F[35,x] = F[0,x]*F[11,x]*F[36,x]*F[69,x]
F[36,x] = F[37,x]+F[48,x]
F[37,x] = F[1,x]+F[38,x]
F[38,x] = F[39,x]
F[39,x] = F[11,x]*F[40,x]
F[40,x] = F[37,x]+F[41,x]
F[41,x] = F[42,x]+F[45,x]
F[42,x] = F[43,x]
F[43,x] = F[11,x]*F[44,x]
F[44,x] = F[1,x]+F[42,x]
F[45,x] = F[46,x]
F[46,x] = F[11,x]*F[47,x]
F[47,x] = F[38,x]+F[45,x]
F[48,x] = F[49,x]+F[52,x]
F[49,x] = F[50,x]
F[50,x] = F[11,x]*F[51,x]
F[51,x] = F[1,x]+F[49,x]
F[52,x] = F[53,x]+F[54,x]+F[56,x]
F[53,x] = 0
F[54,x] = F[11,x]*F[55,x]
F[55,x] = F[38,x]+F[52,x]
F[56,x] = F[11,x]*F[57,x]
F[57,x] = F[48,x]+F[58,x]
F[58,x] = F[59,x]+F[64,x]
F[59,x] = F[53,x]+F[60,x]+F[62,x]
F[60,x] = F[11,x]*F[61,x]
F[61,x] = F[42,x]+F[59,x]
F[62,x] = F[11,x]*F[63,x]
F[63,x] = F[49,x]+F[59,x]
F[64,x] = 2*F[53,x]+F[65,x]+F[67,x]
F[65,x] = F[11,x]*F[66,x]
F[66,x] = F[45,x]+F[64,x]
F[67,x] = F[11,x]*F[68,x]
F[68,x] = F[52,x]+F[64,x]
F[69,x] = F[44,x]+F[63,x]
F[70,x] = F[71,x]
F[71,x] = F[111,x]+F[53,x]+F[72,x]+F[74,x]
F[72,x] = F[73,x]
F[73,x] = F[11,x]*F[71,x]
F[74,x] = F[75,x]
F[75,x] = F[0,x]*F[11,x]*F[76,x]
F[76,x] = F[77,x]+F[89,x]
F[77,x] = F[78,x]+F[82,x]
F[78,x] = F[11,x]+F[79,x]
F[79,x] = F[53,x]+F[80,x]+F[81,x]
F[80,x] = F[11,x]*F[77,x]
F[81,x] = F[11,x]*F[42,x]
F[82,x] = F[83,x]+F[86,x]
F[83,x] = F[84,x]
F[84,x] = F[11,x]*F[85,x]
F[85,x] = F[11,x]+F[83,x]
F[86,x] = F[87,x]
F[87,x] = F[11,x]*F[88,x]
F[88,x] = F[79,x]+F[86,x]
F[89,x] = F[100,x]+F[90,x]
F[90,x] = F[91,x]+F[95,x]
F[91,x] = F[53,x]+F[92,x]+F[94,x]
F[92,x] = F[11,x]*F[93,x]
F[93,x] = F[11,x]+F[91,x]
F[94,x] = F[11,x]*F[49,x]
F[95,x] = F[53,x]+F[96,x]+F[98,x]+F[99,x]
F[96,x] = F[11,x]*F[97,x]
F[97,x] = F[79,x]+F[95,x]
F[98,x] = F[11,x]*F[89,x]
F[99,x] = F[11,x]*F[59,x]
F[100,x] = F[101,x]+F[106,x]
F[101,x] = 2*F[53,x]+F[102,x]+F[104,x]
F[102,x] = F[103,x]*F[11,x]
F[103,x] = F[101,x]+F[83,x]
F[104,x] = F[105,x]*F[11,x]
F[105,x] = F[101,x]+F[91,x]
F[106,x] = 3*F[53,x]+F[107,x]+F[109,x]
F[107,x] = F[108,x]*F[11,x]
F[108,x] = F[106,x]+F[86,x]
F[109,x] = F[11,x]*F[110,x]
F[110,x] = F[106,x]+F[95,x]
F[111,x] = F[11,x]*F[112,x]
F[112,x] = F[113,x]+F[195,x]
F[113,x] = F[0,x]+F[114,x]
F[114,x] = F[115,x]
F[115,x] = F[11,x]*F[116,x]
F[116,x] = F[117,x]+F[193,x]
F[117,x] = F[118,x]+F[23,x]
F[118,x] = F[119,x]
F[119,x] = F[11,x]*F[120,x]
F[120,x] = F[121,x]+F[122,x]
F[121,x] = F[23,x]*F[4,x]
F[122,x] = F[113,x]*F[123,x]
F[123,x] = F[124,x]+F[126,x]+F[189,x]+F[53,x]
F[124,x] = F[11,x]*F[125,x]
F[125,x] = F[123,x]+F[23,x]
F[126,x] = -F[186,x]-F[189,x]-F[53,x]+F[127,x]
F[127,x] = -F[134,x]+F[128,x]
F[128,x] = 1/F[11,x]*F[129,x]
F[129,x] = F[130,x]
F[130,x] = F[131,x]+F[132,x]+F[53,x]
F[131,x] = F[11,x]*F[27,x]
F[132,x] = F[11,x]*F[133,x]
F[133,x] = -F[19,x]+F[21,x]
F[134,x] = F[135,x]+F[155,x]
F[135,x] = -F[146,x]+F[136,x]
F[136,x] = F[137,x]+F[138,x]
F[137,x] = F[0,x]^2
F[138,x] = F[139,x]
F[139,x] = F[0,x]*F[11,x]*F[140,x]
F[140,x] = F[141,x]+F[31,x]
F[141,x] = F[142,x]
F[142,x] = F[143,x]+F[145,x]+F[53,x]
F[143,x] = F[144,x]
F[144,x] = F[11,x]*F[142,x]
F[145,x] = F[11,x]*F[113,x]
F[146,x] = F[1,x]+F[147,x]+F[153,x]
F[147,x] = F[11,x]*F[148,x]
F[148,x] = F[149,x]+F[23,x]
F[149,x] = F[150,x]
F[150,x] = F[11,x]*F[151,x]*F[23,x]
F[151,x] = F[152,x]+F[23,x]
F[152,x] = F[0,x]*F[49,x]
F[153,x] = F[154,x]
F[154,x] = F[11,x]*F[151,x]
F[155,x] = F[156,x]
F[156,x] = F[11,x]*F[157,x]*F[4,x]
F[157,x] = F[158,x]+F[159,x]
F[158,x] = F[130,x]+F[2,x]
F[159,x] = F[126,x]+F[160,x]+F[162,x]+F[53,x]
F[160,x] = F[161,x]
F[161,x] = F[11,x]*F[157,x]
F[162,x] = F[163,x]
F[163,x] = F[11,x]*F[164,x]
F[164,x] = F[165,x]
F[165,x] = F[0,x]*F[11,x]*F[166,x]
F[166,x] = F[167,x]+F[180,x]
F[167,x] = F[168,x]+F[178,x]
F[168,x] = -F[19,x]+F[169,x]
F[169,x] = 1/F[11,x]*F[170,x]
F[170,x] = -F[1,x]-F[174,x]+F[171,x]
F[171,x] = F[0,x]+F[172,x]
F[172,x] = F[173,x]
F[173,x] = F[11,x]*F[125,x]*F[51,x]
F[174,x] = F[11,x]*F[175,x]
F[175,x] = F[176,x]+F[19,x]
F[176,x] = F[177,x]
F[177,x] = F[78,x]+F[90,x]
F[178,x] = F[179,x]*F[49,x]
F[179,x] = F[40,x]+F[57,x]
F[180,x] = F[181,x]
F[181,x] = F[11,x]*F[182,x]*F[51,x]
F[182,x] = F[183,x]+F[185,x]+F[53,x]
F[183,x] = F[11,x]*F[184,x]
F[184,x] = F[0,x]+F[182,x]
F[185,x] = F[11,x]*F[123,x]
F[186,x] = F[11,x]*F[187,x]
F[187,x] = F[148,x]+F[188,x]
F[188,x] = F[157,x]
F[189,x] = F[190,x]
F[190,x] = F[11,x]*F[191,x]
F[191,x] = F[164,x]+F[192,x]
F[192,x] = F[152,x]
F[193,x] = F[194,x]
F[194,x] = F[11,x]*F[113,x]*F[184,x]
F[195,x] = F[196,x]
F[196,x] = F[0,x]*F[11,x]*F[51,x]*F[69,x]
F[197,x] = F[11,x]*F[26,x]
F[198,x] = F[199,x]
F[199,x] = F[11,x]*F[200,x]
F[200,x] = F[201,x]+F[202,x]
F[201,x] = F[19,x]*F[4,x]
F[202,x] = F[113,x]*F[168,x]
F[203,x] = F[113,x]+F[34,x]
F[204,x] = F[205,x]+F[207,x]+F[211,x]+F[53,x]
F[205,x] = F[206,x]
F[206,x] = F[11,x]*F[204,x]
F[207,x] = F[208,x]
F[208,x] = F[11,x]*F[209,x]
F[209,x] = F[210,x]
F[210,x] = F[11,x]*F[113,x]*F[76,x]
F[211,x] = F[212,x]
F[212,x] = F[11,x]*F[213,x]
F[213,x] = F[214,x]+F[256,x]
F[214,x] = F[215,x]+F[217,x]
F[215,x] = F[216,x]
F[216,x] = F[11,x]*F[113,x]
F[217,x] = F[11,x]*F[218,x]
F[218,x] = F[219,x]+F[253,x]
F[219,x] = F[220,x]+F[221,x]
F[220,x] = F[11,x]*F[23,x]
F[221,x] = F[222,x]
F[222,x] = F[11,x]*F[223,x]
F[223,x] = F[224,x]+F[248,x]
F[224,x] = F[225,x]+F[247,x]
F[225,x] = F[226,x]*F[23,x]
F[226,x] = F[215,x]+F[227,x]
F[227,x] = F[228,x]
F[228,x] = F[11,x]*F[229,x]
F[229,x] = -F[246,x]+F[230,x]
F[230,x] = 1/F[11,x]*F[231,x]
F[231,x] = F[232,x]
F[232,x] = -F[233,x]+F[26,x]
F[233,x] = F[0,x]+F[234,x]
F[234,x] = F[235,x]
F[235,x] = F[11,x]*F[236,x]
F[236,x] = F[203,x]+F[237,x]
F[237,x] = F[238,x]+F[240,x]+F[242,x]
F[238,x] = F[239,x]
F[239,x] = F[11,x]*F[112,x]
F[240,x] = F[241,x]
F[241,x] = F[11,x]*F[237,x]
F[242,x] = F[243,x]
F[243,x] = F[11,x]*F[179,x]*F[244,x]
F[244,x] = F[245,x]
F[245,x] = F[0,x]*F[11,x]*F[69,x]
F[246,x] = F[14,x]+F[31,x]
F[247,x] = F[123,x]*F[214,x]
F[248,x] = F[249,x]+F[252,x]
F[249,x] = F[23,x]*F[250,x]
F[250,x] = F[143,x]+F[251,x]+F[53,x]
F[251,x] = F[11,x]*F[4,x]
F[252,x] = F[123,x]*F[142,x]
F[253,x] = F[254,x]
F[254,x] = F[11,x]*F[184,x]*F[255,x]
F[255,x] = F[142,x]+F[214,x]
F[256,x] = F[257,x]
F[257,x] = F[11,x]*F[258,x]
F[258,x] = F[259,x]
F[259,x] = F[11,x]*F[113,x]*F[51,x]*F[69,x]
F[260,x] = F[261,x]+F[263,x]+F[53,x]
F[261,x] = F[262,x]
F[262,x] = F[11,x]*F[113,x]*F[172,x]
F[263,x] = F[264,x]
F[264,x] = F[11,x]*F[120,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_{11}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{2}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{11}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{260}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right) F_{12}\! \left(x \right)
F_{11}\! \left(x \right) = x
F_{12}\! \left(x \right) = \frac{F_{13}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right)+F_{204}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = -F_{203}\! \left(x \right)+F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)+F_{33}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)+F_{198}\! \left(x \right)
F_{19}\! \left(x \right) = F_{1}\! \left(x \right)+F_{197}\! \left(x \right)+F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{11}\! \left(x \right) F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = \frac{F_{22}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{22}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{25}\! \left(x \right)+F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = \frac{F_{24}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{24}\! \left(x \right) = F_{2}\! \left(x \right)
F_{25}\! \left(x \right) = F_{11}\! \left(x \right) F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{19}\! \left(x \right)+F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = F_{11}\! \left(x \right) F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)+F_{70}\! \left(x \right)
F_{30}\! \left(x \right) = F_{31}\! \left(x \right)+F_{33}\! \left(x \right)
F_{31}\! \left(x \right) = \frac{F_{32}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{32}\! \left(x \right) = F_{5}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{0}\! \left(x \right) F_{11}\! \left(x \right) F_{36}\! \left(x \right) F_{69}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)+F_{48}\! \left(x \right)
F_{37}\! \left(x \right) = F_{1}\! \left(x \right)+F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{11}\! \left(x \right) F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{37}\! \left(x \right)+F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)+F_{45}\! \left(x \right)
F_{42}\! \left(x \right) = F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{11}\! \left(x \right) F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{1}\! \left(x \right)+F_{42}\! \left(x \right)
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{11}\! \left(x \right) F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{38}\! \left(x \right)+F_{45}\! \left(x \right)
F_{48}\! \left(x \right) = F_{49}\! \left(x \right)+F_{52}\! \left(x \right)
F_{49}\! \left(x \right) = F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{11}\! \left(x \right) F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{1}\! \left(x \right)+F_{49}\! \left(x \right)
F_{52}\! \left(x \right) = F_{53}\! \left(x \right)+F_{54}\! \left(x \right)+F_{56}\! \left(x \right)
F_{53}\! \left(x \right) = 0
F_{54}\! \left(x \right) = F_{11}\! \left(x \right) F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{38}\! \left(x \right)+F_{52}\! \left(x \right)
F_{56}\! \left(x \right) = F_{11}\! \left(x \right) F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = F_{48}\! \left(x \right)+F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{59}\! \left(x \right)+F_{64}\! \left(x \right)
F_{59}\! \left(x \right) = F_{53}\! \left(x \right)+F_{60}\! \left(x \right)+F_{62}\! \left(x \right)
F_{60}\! \left(x \right) = F_{11}\! \left(x \right) F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{42}\! \left(x \right)+F_{59}\! \left(x \right)
F_{62}\! \left(x \right) = F_{11}\! \left(x \right) F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{49}\! \left(x \right)+F_{59}\! \left(x \right)
F_{64}\! \left(x \right) = 2 F_{53}\! \left(x \right)+F_{65}\! \left(x \right)+F_{67}\! \left(x \right)
F_{65}\! \left(x \right) = F_{11}\! \left(x \right) F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{45}\! \left(x \right)+F_{64}\! \left(x \right)
F_{67}\! \left(x \right) = F_{11}\! \left(x \right) F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{52}\! \left(x \right)+F_{64}\! \left(x \right)
F_{69}\! \left(x \right) = F_{44}\! \left(x \right)+F_{63}\! \left(x \right)
F_{70}\! \left(x \right) = F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{111}\! \left(x \right)+F_{53}\! \left(x \right)+F_{72}\! \left(x \right)+F_{74}\! \left(x \right)
F_{72}\! \left(x \right) = F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{11}\! \left(x \right) F_{71}\! \left(x \right)
F_{74}\! \left(x \right) = F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{0}\! \left(x \right) F_{11}\! \left(x \right) F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{77}\! \left(x \right)+F_{89}\! \left(x \right)
F_{77}\! \left(x \right) = F_{78}\! \left(x \right)+F_{82}\! \left(x \right)
F_{78}\! \left(x \right) = F_{11}\! \left(x \right)+F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{53}\! \left(x \right)+F_{80}\! \left(x \right)+F_{81}\! \left(x \right)
F_{80}\! \left(x \right) = F_{11}\! \left(x \right) F_{77}\! \left(x \right)
F_{81}\! \left(x \right) = F_{11}\! \left(x \right) F_{42}\! \left(x \right)
F_{82}\! \left(x \right) = F_{83}\! \left(x \right)+F_{86}\! \left(x \right)
F_{83}\! \left(x \right) = F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{11}\! \left(x \right) F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{11}\! \left(x \right)+F_{83}\! \left(x \right)
F_{86}\! \left(x \right) = F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{11}\! \left(x \right) F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{79}\! \left(x \right)+F_{86}\! \left(x \right)
F_{89}\! \left(x \right) = F_{100}\! \left(x \right)+F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{91}\! \left(x \right)+F_{95}\! \left(x \right)
F_{91}\! \left(x \right) = F_{53}\! \left(x \right)+F_{92}\! \left(x \right)+F_{94}\! \left(x \right)
F_{92}\! \left(x \right) = F_{11}\! \left(x \right) F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{11}\! \left(x \right)+F_{91}\! \left(x \right)
F_{94}\! \left(x \right) = F_{11}\! \left(x \right) F_{49}\! \left(x \right)
F_{95}\! \left(x \right) = F_{53}\! \left(x \right)+F_{96}\! \left(x \right)+F_{98}\! \left(x \right)+F_{99}\! \left(x \right)
F_{96}\! \left(x \right) = F_{11}\! \left(x \right) F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{79}\! \left(x \right)+F_{95}\! \left(x \right)
F_{98}\! \left(x \right) = F_{11}\! \left(x \right) F_{89}\! \left(x \right)
F_{99}\! \left(x \right) = F_{11}\! \left(x \right) F_{59}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)+F_{106}\! \left(x \right)
F_{101}\! \left(x \right) = 2 F_{53}\! \left(x \right)+F_{102}\! \left(x \right)+F_{104}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right) F_{11}\! \left(x \right)
F_{103}\! \left(x \right) = F_{101}\! \left(x \right)+F_{83}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x \right) F_{11}\! \left(x \right)
F_{105}\! \left(x \right) = F_{101}\! \left(x \right)+F_{91}\! \left(x \right)
F_{106}\! \left(x \right) = 3 F_{53}\! \left(x \right)+F_{107}\! \left(x \right)+F_{109}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right) F_{11}\! \left(x \right)
F_{108}\! \left(x \right) = F_{106}\! \left(x \right)+F_{86}\! \left(x \right)
F_{109}\! \left(x \right) = F_{11}\! \left(x \right) F_{110}\! \left(x \right)
F_{110}\! \left(x \right) = F_{106}\! \left(x \right)+F_{95}\! \left(x \right)
F_{111}\! \left(x \right) = F_{11}\! \left(x \right) F_{112}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)+F_{195}\! \left(x \right)
F_{113}\! \left(x \right) = F_{0}\! \left(x \right)+F_{114}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right)
F_{115}\! \left(x \right) = F_{11}\! \left(x \right) F_{116}\! \left(x \right)
F_{116}\! \left(x \right) = F_{117}\! \left(x \right)+F_{193}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)+F_{23}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right)
F_{119}\! \left(x \right) = F_{11}\! \left(x \right) F_{120}\! \left(x \right)
F_{120}\! \left(x \right) = F_{121}\! \left(x \right)+F_{122}\! \left(x \right)
F_{121}\! \left(x \right) = F_{23}\! \left(x \right) F_{4}\! \left(x \right)
F_{122}\! \left(x \right) = F_{113}\! \left(x \right) F_{123}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right)+F_{126}\! \left(x \right)+F_{189}\! \left(x \right)+F_{53}\! \left(x \right)
F_{124}\! \left(x \right) = F_{11}\! \left(x \right) F_{125}\! \left(x \right)
F_{125}\! \left(x \right) = F_{123}\! \left(x \right)+F_{23}\! \left(x \right)
F_{126}\! \left(x \right) = -F_{186}\! \left(x \right)-F_{189}\! \left(x \right)-F_{53}\! \left(x \right)+F_{127}\! \left(x \right)
F_{127}\! \left(x \right) = -F_{134}\! \left(x \right)+F_{128}\! \left(x \right)
F_{128}\! \left(x \right) = \frac{F_{129}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{129}\! \left(x \right) = F_{130}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right)+F_{132}\! \left(x \right)+F_{53}\! \left(x \right)
F_{131}\! \left(x \right) = F_{11}\! \left(x \right) F_{27}\! \left(x \right)
F_{132}\! \left(x \right) = F_{11}\! \left(x \right) F_{133}\! \left(x \right)
F_{133}\! \left(x \right) = -F_{19}\! \left(x \right)+F_{21}\! \left(x \right)
F_{134}\! \left(x \right) = F_{135}\! \left(x \right)+F_{155}\! \left(x \right)
F_{135}\! \left(x \right) = -F_{146}\! \left(x \right)+F_{136}\! \left(x \right)
F_{136}\! \left(x \right) = F_{137}\! \left(x \right)+F_{138}\! \left(x \right)
F_{137}\! \left(x \right) = F_{0} \left(x \right)^{2}
F_{138}\! \left(x \right) = F_{139}\! \left(x \right)
F_{139}\! \left(x \right) = F_{0}\! \left(x \right) F_{11}\! \left(x \right) F_{140}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right)+F_{31}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right)+F_{145}\! \left(x \right)+F_{53}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right)
F_{144}\! \left(x \right) = F_{11}\! \left(x \right) F_{142}\! \left(x \right)
F_{145}\! \left(x \right) = F_{11}\! \left(x \right) F_{113}\! \left(x \right)
F_{146}\! \left(x \right) = F_{1}\! \left(x \right)+F_{147}\! \left(x \right)+F_{153}\! \left(x \right)
F_{147}\! \left(x \right) = F_{11}\! \left(x \right) F_{148}\! \left(x \right)
F_{148}\! \left(x \right) = F_{149}\! \left(x \right)+F_{23}\! \left(x \right)
F_{149}\! \left(x \right) = F_{150}\! \left(x \right)
F_{150}\! \left(x \right) = F_{11}\! \left(x \right) F_{151}\! \left(x \right) F_{23}\! \left(x \right)
F_{151}\! \left(x \right) = F_{152}\! \left(x \right)+F_{23}\! \left(x \right)
F_{152}\! \left(x \right) = F_{0}\! \left(x \right) F_{49}\! \left(x \right)
F_{153}\! \left(x \right) = F_{154}\! \left(x \right)
F_{154}\! \left(x \right) = F_{11}\! \left(x \right) F_{151}\! \left(x \right)
F_{155}\! \left(x \right) = F_{156}\! \left(x \right)
F_{156}\! \left(x \right) = F_{11}\! \left(x \right) F_{157}\! \left(x \right) F_{4}\! \left(x \right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right)+F_{159}\! \left(x \right)
F_{158}\! \left(x \right) = F_{130}\! \left(x \right)+F_{2}\! \left(x \right)
F_{159}\! \left(x \right) = F_{126}\! \left(x \right)+F_{160}\! \left(x \right)+F_{162}\! \left(x \right)+F_{53}\! \left(x \right)
F_{160}\! \left(x \right) = F_{161}\! \left(x \right)
F_{161}\! \left(x \right) = F_{11}\! \left(x \right) F_{157}\! \left(x \right)
F_{162}\! \left(x \right) = F_{163}\! \left(x \right)
F_{163}\! \left(x \right) = F_{11}\! \left(x \right) F_{164}\! \left(x \right)
F_{164}\! \left(x \right) = F_{165}\! \left(x \right)
F_{165}\! \left(x \right) = F_{0}\! \left(x \right) F_{11}\! \left(x \right) F_{166}\! \left(x \right)
F_{166}\! \left(x \right) = F_{167}\! \left(x \right)+F_{180}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right)+F_{178}\! \left(x \right)
F_{168}\! \left(x \right) = -F_{19}\! \left(x \right)+F_{169}\! \left(x \right)
F_{169}\! \left(x \right) = \frac{F_{170}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{170}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{174}\! \left(x \right)+F_{171}\! \left(x \right)
F_{171}\! \left(x \right) = F_{0}\! \left(x \right)+F_{172}\! \left(x \right)
F_{172}\! \left(x \right) = F_{173}\! \left(x \right)
F_{173}\! \left(x \right) = F_{11}\! \left(x \right) F_{125}\! \left(x \right) F_{51}\! \left(x \right)
F_{174}\! \left(x \right) = F_{11}\! \left(x \right) F_{175}\! \left(x \right)
F_{175}\! \left(x \right) = F_{176}\! \left(x \right)+F_{19}\! \left(x \right)
F_{176}\! \left(x \right) = F_{177}\! \left(x \right)
F_{177}\! \left(x \right) = F_{78}\! \left(x \right)+F_{90}\! \left(x \right)
F_{178}\! \left(x \right) = F_{179}\! \left(x \right) F_{49}\! \left(x \right)
F_{179}\! \left(x \right) = F_{40}\! \left(x \right)+F_{57}\! \left(x \right)
F_{180}\! \left(x \right) = F_{181}\! \left(x \right)
F_{181}\! \left(x \right) = F_{11}\! \left(x \right) F_{182}\! \left(x \right) F_{51}\! \left(x \right)
F_{182}\! \left(x \right) = F_{183}\! \left(x \right)+F_{185}\! \left(x \right)+F_{53}\! \left(x \right)
F_{183}\! \left(x \right) = F_{11}\! \left(x \right) F_{184}\! \left(x \right)
F_{184}\! \left(x \right) = F_{0}\! \left(x \right)+F_{182}\! \left(x \right)
F_{185}\! \left(x \right) = F_{11}\! \left(x \right) F_{123}\! \left(x \right)
F_{186}\! \left(x \right) = F_{11}\! \left(x \right) F_{187}\! \left(x \right)
F_{187}\! \left(x \right) = F_{148}\! \left(x \right)+F_{188}\! \left(x \right)
F_{188}\! \left(x \right) = F_{157}\! \left(x \right)
F_{189}\! \left(x \right) = F_{190}\! \left(x \right)
F_{190}\! \left(x \right) = F_{11}\! \left(x \right) F_{191}\! \left(x \right)
F_{191}\! \left(x \right) = F_{164}\! \left(x \right)+F_{192}\! \left(x \right)
F_{192}\! \left(x \right) = F_{152}\! \left(x \right)
F_{193}\! \left(x \right) = F_{194}\! \left(x \right)
F_{194}\! \left(x \right) = F_{11}\! \left(x \right) F_{113}\! \left(x \right) F_{184}\! \left(x \right)
F_{195}\! \left(x \right) = F_{196}\! \left(x \right)
F_{196}\! \left(x \right) = F_{0}\! \left(x \right) F_{11}\! \left(x \right) F_{51}\! \left(x \right) F_{69}\! \left(x \right)
F_{197}\! \left(x \right) = F_{11}\! \left(x \right) F_{26}\! \left(x \right)
F_{198}\! \left(x \right) = F_{199}\! \left(x \right)
F_{199}\! \left(x \right) = F_{11}\! \left(x \right) F_{200}\! \left(x \right)
F_{200}\! \left(x \right) = F_{201}\! \left(x \right)+F_{202}\! \left(x \right)
F_{201}\! \left(x \right) = F_{19}\! \left(x \right) F_{4}\! \left(x \right)
F_{202}\! \left(x \right) = F_{113}\! \left(x \right) F_{168}\! \left(x \right)
F_{203}\! \left(x \right) = F_{113}\! \left(x \right)+F_{34}\! \left(x \right)
F_{204}\! \left(x \right) = F_{205}\! \left(x \right)+F_{207}\! \left(x \right)+F_{211}\! \left(x \right)+F_{53}\! \left(x \right)
F_{205}\! \left(x \right) = F_{206}\! \left(x \right)
F_{206}\! \left(x \right) = F_{11}\! \left(x \right) F_{204}\! \left(x \right)
F_{207}\! \left(x \right) = F_{208}\! \left(x \right)
F_{208}\! \left(x \right) = F_{11}\! \left(x \right) F_{209}\! \left(x \right)
F_{209}\! \left(x \right) = F_{210}\! \left(x \right)
F_{210}\! \left(x \right) = F_{11}\! \left(x \right) F_{113}\! \left(x \right) F_{76}\! \left(x \right)
F_{211}\! \left(x \right) = F_{212}\! \left(x \right)
F_{212}\! \left(x \right) = F_{11}\! \left(x \right) F_{213}\! \left(x \right)
F_{213}\! \left(x \right) = F_{214}\! \left(x \right)+F_{256}\! \left(x \right)
F_{214}\! \left(x \right) = F_{215}\! \left(x \right)+F_{217}\! \left(x \right)
F_{215}\! \left(x \right) = F_{216}\! \left(x \right)
F_{216}\! \left(x \right) = F_{11}\! \left(x \right) F_{113}\! \left(x \right)
F_{217}\! \left(x \right) = F_{11}\! \left(x \right) F_{218}\! \left(x \right)
F_{218}\! \left(x \right) = F_{219}\! \left(x \right)+F_{253}\! \left(x \right)
F_{219}\! \left(x \right) = F_{220}\! \left(x \right)+F_{221}\! \left(x \right)
F_{220}\! \left(x \right) = F_{11}\! \left(x \right) F_{23}\! \left(x \right)
F_{221}\! \left(x \right) = F_{222}\! \left(x \right)
F_{222}\! \left(x \right) = F_{11}\! \left(x \right) F_{223}\! \left(x \right)
F_{223}\! \left(x \right) = F_{224}\! \left(x \right)+F_{248}\! \left(x \right)
F_{224}\! \left(x \right) = F_{225}\! \left(x \right)+F_{247}\! \left(x \right)
F_{225}\! \left(x \right) = F_{226}\! \left(x \right) F_{23}\! \left(x \right)
F_{226}\! \left(x \right) = F_{215}\! \left(x \right)+F_{227}\! \left(x \right)
F_{227}\! \left(x \right) = F_{228}\! \left(x \right)
F_{228}\! \left(x \right) = F_{11}\! \left(x \right) F_{229}\! \left(x \right)
F_{229}\! \left(x \right) = -F_{246}\! \left(x \right)+F_{230}\! \left(x \right)
F_{230}\! \left(x \right) = \frac{F_{231}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{231}\! \left(x \right) = F_{232}\! \left(x \right)
F_{232}\! \left(x \right) = -F_{233}\! \left(x \right)+F_{26}\! \left(x \right)
F_{233}\! \left(x \right) = F_{0}\! \left(x \right)+F_{234}\! \left(x \right)
F_{234}\! \left(x \right) = F_{235}\! \left(x \right)
F_{235}\! \left(x \right) = F_{11}\! \left(x \right) F_{236}\! \left(x \right)
F_{236}\! \left(x \right) = F_{203}\! \left(x \right)+F_{237}\! \left(x \right)
F_{237}\! \left(x \right) = F_{238}\! \left(x \right)+F_{240}\! \left(x \right)+F_{242}\! \left(x \right)
F_{238}\! \left(x \right) = F_{239}\! \left(x \right)
F_{239}\! \left(x \right) = F_{11}\! \left(x \right) F_{112}\! \left(x \right)
F_{240}\! \left(x \right) = F_{241}\! \left(x \right)
F_{241}\! \left(x \right) = F_{11}\! \left(x \right) F_{237}\! \left(x \right)
F_{242}\! \left(x \right) = F_{243}\! \left(x \right)
F_{243}\! \left(x \right) = F_{11}\! \left(x \right) F_{179}\! \left(x \right) F_{244}\! \left(x \right)
F_{244}\! \left(x \right) = F_{245}\! \left(x \right)
F_{245}\! \left(x \right) = F_{0}\! \left(x \right) F_{11}\! \left(x \right) F_{69}\! \left(x \right)
F_{246}\! \left(x \right) = F_{14}\! \left(x \right)+F_{31}\! \left(x \right)
F_{247}\! \left(x \right) = F_{123}\! \left(x \right) F_{214}\! \left(x \right)
F_{248}\! \left(x \right) = F_{249}\! \left(x \right)+F_{252}\! \left(x \right)
F_{249}\! \left(x \right) = F_{23}\! \left(x \right) F_{250}\! \left(x \right)
F_{250}\! \left(x \right) = F_{143}\! \left(x \right)+F_{251}\! \left(x \right)+F_{53}\! \left(x \right)
F_{251}\! \left(x \right) = F_{11}\! \left(x \right) F_{4}\! \left(x \right)
F_{252}\! \left(x \right) = F_{123}\! \left(x \right) F_{142}\! \left(x \right)
F_{253}\! \left(x \right) = F_{254}\! \left(x \right)
F_{254}\! \left(x \right) = F_{11}\! \left(x \right) F_{184}\! \left(x \right) F_{255}\! \left(x \right)
F_{255}\! \left(x \right) = F_{142}\! \left(x \right)+F_{214}\! \left(x \right)
F_{256}\! \left(x \right) = F_{257}\! \left(x \right)
F_{257}\! \left(x \right) = F_{11}\! \left(x \right) F_{258}\! \left(x \right)
F_{258}\! \left(x \right) = F_{259}\! \left(x \right)
F_{259}\! \left(x \right) = F_{11}\! \left(x \right) F_{113}\! \left(x \right) F_{51}\! \left(x \right) F_{69}\! \left(x \right)
F_{260}\! \left(x \right) = F_{261}\! \left(x \right)+F_{263}\! \left(x \right)+F_{53}\! \left(x \right)
F_{261}\! \left(x \right) = F_{262}\! \left(x \right)
F_{262}\! \left(x \right) = F_{11}\! \left(x \right) F_{113}\! \left(x \right) F_{172}\! \left(x \right)
F_{263}\! \left(x \right) = F_{264}\! \left(x \right)
F_{264}\! \left(x \right) = F_{11}\! \left(x \right) F_{120}\! \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_11(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_2(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_11(x)*F_8(x))
Eq(F_8(x), F_260(x) + F_9(x))
Eq(F_9(x), F_10(x))
Eq(F_10(x), F_11(x)*F_12(x))
Eq(F_11(x), x)
Eq(F_12(x), F_13(x)/F_11(x))
Eq(F_13(x), F_14(x))
Eq(F_14(x), F_15(x) + F_204(x))
Eq(F_15(x), F_16(x))
Eq(F_16(x), F_17(x) - F_203(x))
Eq(F_17(x), F_18(x) + F_33(x))
Eq(F_18(x), F_19(x) + F_198(x))
Eq(F_19(x), F_1(x) + F_197(x) + F_20(x))
Eq(F_20(x), F_11(x)*F_21(x))
Eq(F_21(x), F_22(x)/F_11(x))
Eq(F_22(x), -F_1(x) + F_23(x) - F_25(x))
Eq(F_23(x), F_24(x)/F_11(x))
Eq(F_24(x), F_2(x))
Eq(F_25(x), F_11(x)*F_26(x))
Eq(F_26(x), F_19(x) + F_27(x))
Eq(F_27(x), F_28(x))
Eq(F_28(x), F_11(x)*F_29(x))
Eq(F_29(x), F_30(x) + F_70(x))
Eq(F_30(x), F_31(x) + F_33(x))
Eq(F_31(x), F_32(x)/F_11(x))
Eq(F_32(x), F_5(x))
Eq(F_33(x), F_34(x))
Eq(F_34(x), F_35(x))
Eq(F_35(x), F_0(x)*F_11(x)*F_36(x)*F_69(x))
Eq(F_36(x), F_37(x) + F_48(x))
Eq(F_37(x), F_1(x) + F_38(x))
Eq(F_38(x), F_39(x))
Eq(F_39(x), F_11(x)*F_40(x))
Eq(F_40(x), F_37(x) + F_41(x))
Eq(F_41(x), F_42(x) + F_45(x))
Eq(F_42(x), F_43(x))
Eq(F_43(x), F_11(x)*F_44(x))
Eq(F_44(x), F_1(x) + F_42(x))
Eq(F_45(x), F_46(x))
Eq(F_46(x), F_11(x)*F_47(x))
Eq(F_47(x), F_38(x) + F_45(x))
Eq(F_48(x), F_49(x) + F_52(x))
Eq(F_49(x), F_50(x))
Eq(F_50(x), F_11(x)*F_51(x))
Eq(F_51(x), F_1(x) + F_49(x))
Eq(F_52(x), F_53(x) + F_54(x) + F_56(x))
Eq(F_53(x), 0)
Eq(F_54(x), F_11(x)*F_55(x))
Eq(F_55(x), F_38(x) + F_52(x))
Eq(F_56(x), F_11(x)*F_57(x))
Eq(F_57(x), F_48(x) + F_58(x))
Eq(F_58(x), F_59(x) + F_64(x))
Eq(F_59(x), F_53(x) + F_60(x) + F_62(x))
Eq(F_60(x), F_11(x)*F_61(x))
Eq(F_61(x), F_42(x) + F_59(x))
Eq(F_62(x), F_11(x)*F_63(x))
Eq(F_63(x), F_49(x) + F_59(x))
Eq(F_64(x), 2*F_53(x) + F_65(x) + F_67(x))
Eq(F_65(x), F_11(x)*F_66(x))
Eq(F_66(x), F_45(x) + F_64(x))
Eq(F_67(x), F_11(x)*F_68(x))
Eq(F_68(x), F_52(x) + F_64(x))
Eq(F_69(x), F_44(x) + F_63(x))
Eq(F_70(x), F_71(x))
Eq(F_71(x), F_111(x) + F_53(x) + F_72(x) + F_74(x))
Eq(F_72(x), F_73(x))
Eq(F_73(x), F_11(x)*F_71(x))
Eq(F_74(x), F_75(x))
Eq(F_75(x), F_0(x)*F_11(x)*F_76(x))
Eq(F_76(x), F_77(x) + F_89(x))
Eq(F_77(x), F_78(x) + F_82(x))
Eq(F_78(x), F_11(x) + F_79(x))
Eq(F_79(x), F_53(x) + F_80(x) + F_81(x))
Eq(F_80(x), F_11(x)*F_77(x))
Eq(F_81(x), F_11(x)*F_42(x))
Eq(F_82(x), F_83(x) + F_86(x))
Eq(F_83(x), F_84(x))
Eq(F_84(x), F_11(x)*F_85(x))
Eq(F_85(x), F_11(x) + F_83(x))
Eq(F_86(x), F_87(x))
Eq(F_87(x), F_11(x)*F_88(x))
Eq(F_88(x), F_79(x) + F_86(x))
Eq(F_89(x), F_100(x) + F_90(x))
Eq(F_90(x), F_91(x) + F_95(x))
Eq(F_91(x), F_53(x) + F_92(x) + F_94(x))
Eq(F_92(x), F_11(x)*F_93(x))
Eq(F_93(x), F_11(x) + F_91(x))
Eq(F_94(x), F_11(x)*F_49(x))
Eq(F_95(x), F_53(x) + F_96(x) + F_98(x) + F_99(x))
Eq(F_96(x), F_11(x)*F_97(x))
Eq(F_97(x), F_79(x) + F_95(x))
Eq(F_98(x), F_11(x)*F_89(x))
Eq(F_99(x), F_11(x)*F_59(x))
Eq(F_100(x), F_101(x) + F_106(x))
Eq(F_101(x), F_102(x) + F_104(x) + 2*F_53(x))
Eq(F_102(x), F_103(x)*F_11(x))
Eq(F_103(x), F_101(x) + F_83(x))
Eq(F_104(x), F_105(x)*F_11(x))
Eq(F_105(x), F_101(x) + F_91(x))
Eq(F_106(x), F_107(x) + F_109(x) + 3*F_53(x))
Eq(F_107(x), F_108(x)*F_11(x))
Eq(F_108(x), F_106(x) + F_86(x))
Eq(F_109(x), F_11(x)*F_110(x))
Eq(F_110(x), F_106(x) + F_95(x))
Eq(F_111(x), F_11(x)*F_112(x))
Eq(F_112(x), F_113(x) + F_195(x))
Eq(F_113(x), F_0(x) + F_114(x))
Eq(F_114(x), F_115(x))
Eq(F_115(x), F_11(x)*F_116(x))
Eq(F_116(x), F_117(x) + F_193(x))
Eq(F_117(x), F_118(x) + F_23(x))
Eq(F_118(x), F_119(x))
Eq(F_119(x), F_11(x)*F_120(x))
Eq(F_120(x), F_121(x) + F_122(x))
Eq(F_121(x), F_23(x)*F_4(x))
Eq(F_122(x), F_113(x)*F_123(x))
Eq(F_123(x), F_124(x) + F_126(x) + F_189(x) + F_53(x))
Eq(F_124(x), F_11(x)*F_125(x))
Eq(F_125(x), F_123(x) + F_23(x))
Eq(F_126(x), F_127(x) - F_186(x) - F_189(x) - F_53(x))
Eq(F_127(x), F_128(x) - F_134(x))
Eq(F_128(x), F_129(x)/F_11(x))
Eq(F_129(x), F_130(x))
Eq(F_130(x), F_131(x) + F_132(x) + F_53(x))
Eq(F_131(x), F_11(x)*F_27(x))
Eq(F_132(x), F_11(x)*F_133(x))
Eq(F_133(x), -F_19(x) + F_21(x))
Eq(F_134(x), F_135(x) + F_155(x))
Eq(F_135(x), F_136(x) - F_146(x))
Eq(F_136(x), F_137(x) + F_138(x))
Eq(F_137(x), F_0(x)**2)
Eq(F_138(x), F_139(x))
Eq(F_139(x), F_0(x)*F_11(x)*F_140(x))
Eq(F_140(x), F_141(x) + F_31(x))
Eq(F_141(x), F_142(x))
Eq(F_142(x), F_143(x) + F_145(x) + F_53(x))
Eq(F_143(x), F_144(x))
Eq(F_144(x), F_11(x)*F_142(x))
Eq(F_145(x), F_11(x)*F_113(x))
Eq(F_146(x), F_1(x) + F_147(x) + F_153(x))
Eq(F_147(x), F_11(x)*F_148(x))
Eq(F_148(x), F_149(x) + F_23(x))
Eq(F_149(x), F_150(x))
Eq(F_150(x), F_11(x)*F_151(x)*F_23(x))
Eq(F_151(x), F_152(x) + F_23(x))
Eq(F_152(x), F_0(x)*F_49(x))
Eq(F_153(x), F_154(x))
Eq(F_154(x), F_11(x)*F_151(x))
Eq(F_155(x), F_156(x))
Eq(F_156(x), F_11(x)*F_157(x)*F_4(x))
Eq(F_157(x), F_158(x) + F_159(x))
Eq(F_158(x), F_130(x) + F_2(x))
Eq(F_159(x), F_126(x) + F_160(x) + F_162(x) + F_53(x))
Eq(F_160(x), F_161(x))
Eq(F_161(x), F_11(x)*F_157(x))
Eq(F_162(x), F_163(x))
Eq(F_163(x), F_11(x)*F_164(x))
Eq(F_164(x), F_165(x))
Eq(F_165(x), F_0(x)*F_11(x)*F_166(x))
Eq(F_166(x), F_167(x) + F_180(x))
Eq(F_167(x), F_168(x) + F_178(x))
Eq(F_168(x), F_169(x) - F_19(x))
Eq(F_169(x), F_170(x)/F_11(x))
Eq(F_170(x), -F_1(x) + F_171(x) - F_174(x))
Eq(F_171(x), F_0(x) + F_172(x))
Eq(F_172(x), F_173(x))
Eq(F_173(x), F_11(x)*F_125(x)*F_51(x))
Eq(F_174(x), F_11(x)*F_175(x))
Eq(F_175(x), F_176(x) + F_19(x))
Eq(F_176(x), F_177(x))
Eq(F_177(x), F_78(x) + F_90(x))
Eq(F_178(x), F_179(x)*F_49(x))
Eq(F_179(x), F_40(x) + F_57(x))
Eq(F_180(x), F_181(x))
Eq(F_181(x), F_11(x)*F_182(x)*F_51(x))
Eq(F_182(x), F_183(x) + F_185(x) + F_53(x))
Eq(F_183(x), F_11(x)*F_184(x))
Eq(F_184(x), F_0(x) + F_182(x))
Eq(F_185(x), F_11(x)*F_123(x))
Eq(F_186(x), F_11(x)*F_187(x))
Eq(F_187(x), F_148(x) + F_188(x))
Eq(F_188(x), F_157(x))
Eq(F_189(x), F_190(x))
Eq(F_190(x), F_11(x)*F_191(x))
Eq(F_191(x), F_164(x) + F_192(x))
Eq(F_192(x), F_152(x))
Eq(F_193(x), F_194(x))
Eq(F_194(x), F_11(x)*F_113(x)*F_184(x))
Eq(F_195(x), F_196(x))
Eq(F_196(x), F_0(x)*F_11(x)*F_51(x)*F_69(x))
Eq(F_197(x), F_11(x)*F_26(x))
Eq(F_198(x), F_199(x))
Eq(F_199(x), F_11(x)*F_200(x))
Eq(F_200(x), F_201(x) + F_202(x))
Eq(F_201(x), F_19(x)*F_4(x))
Eq(F_202(x), F_113(x)*F_168(x))
Eq(F_203(x), F_113(x) + F_34(x))
Eq(F_204(x), F_205(x) + F_207(x) + F_211(x) + F_53(x))
Eq(F_205(x), F_206(x))
Eq(F_206(x), F_11(x)*F_204(x))
Eq(F_207(x), F_208(x))
Eq(F_208(x), F_11(x)*F_209(x))
Eq(F_209(x), F_210(x))
Eq(F_210(x), F_11(x)*F_113(x)*F_76(x))
Eq(F_211(x), F_212(x))
Eq(F_212(x), F_11(x)*F_213(x))
Eq(F_213(x), F_214(x) + F_256(x))
Eq(F_214(x), F_215(x) + F_217(x))
Eq(F_215(x), F_216(x))
Eq(F_216(x), F_11(x)*F_113(x))
Eq(F_217(x), F_11(x)*F_218(x))
Eq(F_218(x), F_219(x) + F_253(x))
Eq(F_219(x), F_220(x) + F_221(x))
Eq(F_220(x), F_11(x)*F_23(x))
Eq(F_221(x), F_222(x))
Eq(F_222(x), F_11(x)*F_223(x))
Eq(F_223(x), F_224(x) + F_248(x))
Eq(F_224(x), F_225(x) + F_247(x))
Eq(F_225(x), F_226(x)*F_23(x))
Eq(F_226(x), F_215(x) + F_227(x))
Eq(F_227(x), F_228(x))
Eq(F_228(x), F_11(x)*F_229(x))
Eq(F_229(x), F_230(x) - F_246(x))
Eq(F_230(x), F_231(x)/F_11(x))
Eq(F_231(x), F_232(x))
Eq(F_232(x), -F_233(x) + F_26(x))
Eq(F_233(x), F_0(x) + F_234(x))
Eq(F_234(x), F_235(x))
Eq(F_235(x), F_11(x)*F_236(x))
Eq(F_236(x), F_203(x) + F_237(x))
Eq(F_237(x), F_238(x) + F_240(x) + F_242(x))
Eq(F_238(x), F_239(x))
Eq(F_239(x), F_11(x)*F_112(x))
Eq(F_240(x), F_241(x))
Eq(F_241(x), F_11(x)*F_237(x))
Eq(F_242(x), F_243(x))
Eq(F_243(x), F_11(x)*F_179(x)*F_244(x))
Eq(F_244(x), F_245(x))
Eq(F_245(x), F_0(x)*F_11(x)*F_69(x))
Eq(F_246(x), F_14(x) + F_31(x))
Eq(F_247(x), F_123(x)*F_214(x))
Eq(F_248(x), F_249(x) + F_252(x))
Eq(F_249(x), F_23(x)*F_250(x))
Eq(F_250(x), F_143(x) + F_251(x) + F_53(x))
Eq(F_251(x), F_11(x)*F_4(x))
Eq(F_252(x), F_123(x)*F_142(x))
Eq(F_253(x), F_254(x))
Eq(F_254(x), F_11(x)*F_184(x)*F_255(x))
Eq(F_255(x), F_142(x) + F_214(x))
Eq(F_256(x), F_257(x))
Eq(F_257(x), F_11(x)*F_258(x))
Eq(F_258(x), F_259(x))
Eq(F_259(x), F_11(x)*F_113(x)*F_51(x)*F_69(x))
Eq(F_260(x), F_261(x) + F_263(x) + F_53(x))
Eq(F_261(x), F_262(x))
Eq(F_262(x), F_11(x)*F_113(x)*F_172(x))
Eq(F_263(x), F_264(x))
Eq(F_264(x), F_11(x)*F_120(x))
Pack JSON:
{"name": "point_and_col_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": [], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [], "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}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RowAndColumnPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "place_row": false, "place_col": true}]], "symmetries": [], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"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, 1, 3, 2], "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": [3, 0, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 2], [0, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 2], [0, 0], [0, 2]]}, {"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, 0], [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": [2, 0, 1, 3], "pos": [[0, 2], [0, 0], [0, 0], [0, 2]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 2], [0, 0], [0, 2], [0, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"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, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 1, 3, 2], "pos": [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 1, 3, 2], "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": [3, 0, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [3, 0, 1, 4, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 1], [0, 0], [0, 1]]}, {"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, 0], [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": [2, 0, 1, 3], "pos": [[0, 1], [0, 0], [0, 0], [0, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 1], [0, 0], [0, 1], [0, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"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, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 1, 3, 2], "pos": [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 1, 3, 2], "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": [3, 0, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [3, 0, 1, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": 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