02431_03412_03421_04213_04312_04321_13402_14203_14302_24103
Counting sequence:
1, 1, 2, 6, 24, 110, 533, 2633, 13156, 66480, 339904, 1757514, 9179341, 48364044, 256753628, 1372040320, 7374414515, 39839625287, 216218841272, 1178316416377, 6445379164373, 35375656826145, 194760439751590, 1075286198551029, 5952166058838587, 33026744399984541, 183661538367128105, 1023440975175263537, 5713959880110534141, 31958423025391564394, 179042735775460035065, 1004628530924164593986, 5645340998050868702170, 31766755335721172932847, 178985956489019304052053, 1009710335971357046566740, 5702657818857709249989177, 32242872699841441493197318, 182490964324380636664542286, 1033897326641385527872722868, 5863011415402299705111328970, 33277580625122844238238559009, 189039344557506057541322903721, 1074744289667723989893730791164, 6114975869147399120600454735191, 34818192430375569397066102618078, 198392721056587827687971225271137, 1131202419555893251325849730619049, 6454131876128386955284307405270693, 36847399142281026958272448055159532, 210492482608910173289286380959593608, 1203142224240572985091985592399276467, 6880792008871729430829228338773155965, 39372407071159641683256974339520047345, 225407864398515069660348214856765320647, 1291105317937305638782674156527065936130, 7398814809368012217798167067341796756559, 42419280447238278493822531525505761859905, 243309032792210027509970039229622523355774, 1396176903591238950143218114896315800798523, 8015004280030430837851137616981837164556768, 46030137465684224918208585625521046237047565, 264454148099197425127479671274285808437130059, 1519927079526567336242607469628996956457746349, 8738850031007024532883881495449390710898055458, 50262041617193263999733878983567954331435315393, 289184911362025549108464895765143520541638239043, 1664394851578195450528869284541063729349480617727, 9582483689338824977316442066474812251699112329010, 55186995026047446482298536416001919100577854010825, 317927762956642124802504040269958201936980788774904, 1832101324254539701023334713637713789999669953832399, 10560786979802625399960226587674463839715870181670775, 60892725643966523107473934181517981851787937319935865, 351199265416321870019229891594205244979452262484110614, 2026085101131456879242553804831783937885586913960655651, 11691618514003680046463250988983366631158526962922731001, 67484113316084793530850714690536073549411428084082214125, 389614947747831841612753114659221292174085064889623453385, 2249956562349816120773468422109215876034220278489252694027, 12996144168625173549313770547081515603551111312140618586148, 75085187676019876847490864218929057302531483217003859766871, 433901324011663058096781146923601046437093729866006672749912, 2507969854888870997898052791996855599594656487578084776836469, 14499266782864239718157585532535942653476045845699494013644524, 83841685433935096418532510553165600447178494415523639436278165, 484911075448985590300921599522039872761514081110593237445675315, 2805112840318755881416282626774013572734785592607471203786899654, 16230158132791207915824709129691641481162985115728913225421350745, 93924191952371966703862292738835440813838056884876847076636529675, 543641579626183574048629428782297545224877206051266266870140946234, 3147216262251830905761426976929192892896616860370441276769750622830, 18222901511595074177998418465294427805080343297285186915249241159908, 105531920569832616169340379674710423066713140030817895266264667268595, 611257123112394656728809921213448926374009757960371260343472949480029, 3541084221685955153021703301451940149571928517019843685230713042341706, 20517257734193860109706892495048959012459955410590313425595641305477759, 118897207702135314099073825951792961785033558733891549895910327917100570, 689115269551953903713149126648253471231921621081476240633479145784375828, 3994648798608978943966583748340959559327003894968963565494289281619242282, 23159571566653142259825116384402268548462251004396385442864619137619104377
Implicit equation for the generating function in Maple syntax:
x^7*(x^2+x-1)*(x-1)^2*F(x)^6-x^4*(2*x^7-x^6-2*x^5-3*x^4+12*x^3-8*x^2+4*x-1)*F(x)^5+x^3*(x^8+2*x^7-2*x^6-6*x^5+11*x^4+10*x^3-16*x^2+12*x-3)*F(x)^4-x^2*(2*x^8-2*x^7+2*x^6-7*x^5+19*x^4+x^3-18*x^2+16*x-4)*F(x)^3+x*(x^8-2*x^7+x^6-2*x^5+12*x^4-3*x^3-15*x^2+15*x-4)*F(x)^2+(3*x+1)*(x^2+x-1)*(x-1)^3*F(x)-(x^2+x-1)*(x-1)^3 = 0
Implicit equation for the generating function in latex syntax:
x^{7} \left(x^{2}+x -1\right) \left(x -1\right)^{2} F \! \left(x \right)^{6}-x^{4} \left(2 x^{7}-x^{6}-2 x^{5}-3 x^{4}+12 x^{3}-8 x^{2}+4 x -1\right) F \! \left(x \right)^{5}+x^{3} \left(x^{8}+2 x^{7}-2 x^{6}-6 x^{5}+11 x^{4}+10 x^{3}-16 x^{2}+12 x -3\right) F \! \left(x \right)^{4}-x^{2} \left(2 x^{8}-2 x^{7}+2 x^{6}-7 x^{5}+19 x^{4}+x^{3}-18 x^{2}+16 x -4\right) F \! \left(x \right)^{3}+x \left(x^{8}-2 x^{7}+x^{6}-2 x^{5}+12 x^{4}-3 x^{3}-15 x^{2}+15 x -4\right) F \! \left(x \right)^{2}+\left(3 x +1\right) \left(x^{2}+x -1\right) \left(x -1\right)^{3} F \! \left(x \right)-\left(x^{2}+x -1\right) \left(x -1\right)^{3} = 0
Recurrence in maple format:
a(0) = 1
a(1) = 1
a(2) = 2
a(3) = 6
a(4) = 24
a(5) = 110
a(6) = 533
a(7) = 2633
a(8) = 13156
a(9) = 66480
a(10) = 339904
a(11) = 1757514
a(12) = 9179341
a(13) = 48364044
a(14) = 256753628
a(15) = 1372040320
a(16) = 7374414515
a(17) = 39839625287
a(18) = 216218841272
a(19) = 1178316416377
a(20) = 6445379164373
a(21) = 35375656826145
a(22) = 194760439751590
a(23) = 1075286198551029
a(24) = 5952166058838587
a(25) = 33026744399984541
a(26) = 183661538367128105
a(27) = 1023440975175263537
a(28) = 5713959880110534141
a(29) = 31958423025391564394
a(30) = 179042735775460035065
a(31) = 1004628530924164593986
a(32) = 5645340998050868702170
a(33) = 31766755335721172932847
a(34) = 178985956489019304052053
a(35) = 1009710335971357046566740
a(36) = 5702657818857709249989177
a(37) = 32242872699841441493197318
a(38) = 182490964324380636664542286
a(39) = 1033897326641385527872722868
a(40) = 5863011415402299705111328970
a(41) = 33277580625122844238238559009
a(42) = 189039344557506057541322903721
a(43) = 1074744289667723989893730791164
a(44) = 6114975869147399120600454735191
a(45) = 34818192430375569397066102618078
a(46) = 198392721056587827687971225271137
a(47) = 1131202419555893251325849730619049
a(48) = 6454131876128386955284307405270693
a(49) = 36847399142281026958272448055159532
a(50) = 210492482608910173289286380959593608
a(51) = 1203142224240572985091985592399276467
a(52) = 6880792008871729430829228338773155965
a(53) = 39372407071159641683256974339520047345
a(54) = 225407864398515069660348214856765320647
a(55) = 1291105317937305638782674156527065936130
a(56) = 7398814809368012217798167067341796756559
a(57) = 42419280447238278493822531525505761859905
a(58) = 243309032792210027509970039229622523355774
a(59) = 1396176903591238950143218114896315800798523
a(60) = 8015004280030430837851137616981837164556768
a(61) = 46030137465684224918208585625521046237047565
a(62) = 264454148099197425127479671274285808437130059
a(63) = 1519927079526567336242607469628996956457746349
a(64) = 8738850031007024532883881495449390710898055458
a(65) = 50262041617193263999733878983567954331435315393
a(66) = 289184911362025549108464895765143520541638239043
a(67) = 1664394851578195450528869284541063729349480617727
a(68) = 9582483689338824977316442066474812251699112329010
a(69) = 55186995026047446482298536416001919100577854010825
a(70) = 317927762956642124802504040269958201936980788774904
a(71) = 1832101324254539701023334713637713789999669953832399
a(72) = 10560786979802625399960226587674463839715870181670775
a(73) = 60892725643966523107473934181517981851787937319935865
a(74) = 351199265416321870019229891594205244979452262484110614
a(75) = 2026085101131456879242553804831783937885586913960655651
a(76) = 11691618514003680046463250988983366631158526962922731001
a(77) = 67484113316084793530850714690536073549411428084082214125
a(78) = 389614947747831841612753114659221292174085064889623453385
a(79) = 2249956562349816120773468422109215876034220278489252694027
a(80) = 12996144168625173549313770547081515603551111312140618586148
a(81) = 75085187676019876847490864218929057302531483217003859766871
a(82) = 433901324011663058096781146923601046437093729866006672749912
a(83) = 2507969854888870997898052791996855599594656487578084776836469
a(84) = 14499266782864239718157585532535942653476045845699494013644524
a(85) = 83841685433935096418532510553165600447178494415523639436278165
a(86) = 484911075448985590300921599522039872761514081110593237445675315
a(87) = 2805112840318755881416282626774013572734785592607471203786899654
a(88) = 16230158132791207915824709129691641481162985115728913225421350745
a(89) = 93924191952371966703862292738835440813838056884876847076636529675
a(90) = 543641579626183574048629428782297545224877206051266266870140946234
a(91) = 3147216262251830905761426976929192892896616860370441276769750622830
a(92) = 18222901511595074177998418465294427805080343297285186915249241159908
a(93) = 105531920569832616169340379674710423066713140030817895266264667268595
a(94) = 611257123112394656728809921213448926374009757960371260343472949480029
a(95) = 3541084221685955153021703301451940149571928517019843685230713042341706
a(96) = 20517257734193860109706892495048959012459955410590313425595641305477759
a(97) = 118897207702135314099073825951792961785033558733891549895910327917100570
a(98) = 689115269551953903713149126648253471231921621081476240633479145784375828
a(99) = 3994648798608978943966583748340959559327003894968963565494289281619242282
a(100) = 23159571566653142259825116384402268548462251004396385442864619137619104377
a(101) = 134290825189210579939341578192919220713757792685761003094522258260197785918
a(102) = 778797986994169315457582888496814750983780986231455079671147141962899260967
a(103) = 4517152404987737041358673947947544696008597423497496095625523592996655558309
a(104) = 26203839822519432818156554662327769210170341124049908582740161721538529851699
a(105) = 152028235536093171906632326141772575283784515506155523335001184547910093170338
a(106) = 882148276645537937841192493559520278452530608251422399537684296508581537483019
a(107) = 5119362247580620297958957983240130881504642739263706685034204622894726304393963
a(108) = 29712966930437105569485361920430741325541843363141766159993171519255370661544878
a(109) = 172476941993697820371542860291279880664128980430939542808350623654501326506223324
a(110) = 1001313197088844172364510205374632807199584628702859468453297470541184911799735488
a(111) = 5813822157753755958592955831430461045944388870929165519380171510399566769052723996
a(112) = 33760238869509814499464816585865274878307834889389247334561851155864236616514087766
a(113) = 196065114972529568978720041263746309851007054519291290488308601914818497251535498774
a(114) = 1138794349671381265463578212053931773306980665479749040256121867073318137979355426955
a(115) = 6615148043771735630384773109183709510304646970420217244581334278544177827965742459148
a(116) = 38431052179795670855928485556284744221775266579681686661718880195821258995458888571069
a(117) = 223291710134057782197312670247289299922689697896426414244716776668529542750784425687561
a(118) = 1297507088103916345799448869822677983369232981723437653783458419246827091550761873191531
a(119) = 7540374372131027599932341265230775656040903502867751359585889923972922047057002532594301
a(120) = 43824941473332764135948206151489698395676210126537967588876083881260296626021831421226157
a(121) = 254738332730146063336749804452205979067279560111027577383256796974590821634847513432668743
a(122) = 1480849944439041328164452874982585924286863980139840409906874927406427523546713578443903530
a(123) = 8609360423368724131137917483508882847639513975071398110428440945291394282202910099387215641
a(124) = 50057956696954118396351624035666471426131986521684168061715536573173289427307130826091523488
a(125) = 291083148516766071495944692699541989692673351410674345870851540877147133652725351776972672412
a(126) = 1692786031184580038474537789408338319878254887939438205289798634589231811440029978967965585032
a(127) = 9845266632999191267273656811408102468159699274348216021128629361007224745256474239474190919854
a(128) = 57265450555431463257848077791751609318959291118621928933907805181509821762317243125440778253640
a(129) = 333117195151464443308817275706497553261056764583361382731701865562542417668630887934047447982386
a(130) = 1937938492892164540550041509866495114986968029238301146989834970922749739221095700716245163491388
a(131) = 11275113163652967539359556985197134567117583379439375905379036623850195368678568681378735377529291
a(132) = 65605347247507217084416280530272660884778083328606309705907293929381591879844639455178083256786398
a(133) = 381763510882772016845784839722449583043617588477713367304231880652187773753746678480506838754287184
a(134) = 2221702448822398816043792149225852978364022320157634016713946739698933782729155940253140052821525854
a(135) = 12930435010773809536998430367408007653880359720555157927100814172312388796318514451845481629351713245
a(136) = 75261976293970175870931093467000232911664634620238640187633719740078608692586876458941208517096578553
a(137) = 438099571282452665123354616154229856870189208888625650017776987445946188650021943828115146541986069146
a(138) = 2550376301329867101194213213405331731738557472719611416102884901476151462110325540377586807242081963613
a(139) = 14848050480452294888428240522148654068087235900818220588207963718840016972695122774432276576543410432440
a(140) = 86450570091691941362186130067518858557390644085974525654374737833540455795933152058586819959577099281493
a(141) = 503383611780246018427329051232964325717365272255221792482111646717165051274567963366569607747337575635433
a(142) = 2931315794267704509898085280393038710842562857334646226277349082638426660945651595208994260556987604808294
a(143) = 17070962863411554966348668046935128781894037248457027675053904395995446900858802096981866706633985124313733
a(144) = 99422541316054101152073856394486761591148677425608783681715134442767693294754135380330662535325051914405632
a(145) = 579085516210590480598526684487505597135552887590678600576442964100627459060255691071482553048449793296204285
a(146) = 3373114805892167948496960969351499505789560649245729562011855545947203766074918290301181774254809476529456321
a(147) = 19649418645286247597626863830302520278906286390666494427420686486945323742919831016931029804487982759674576516
a(148) = 114471676893733713923218823832252861393049316744926967257048960147529141494021056050508578967833822981938792038
a(149) = 666923072267856277493570319510222153939147782366888076322151613988276060807589385678051493312389170582520070483
a(150) = 3885817567835367374664212689014564616766372866225842294247960042972176040019661548959124060948518697401517264386
a(151) = 22642149736144553022566365159337955516970290912445296637823793641756008845647917983775865350401471332055286739598
a(152) = 131941409540896003602051958392977086357175968769757676064383511243260956678927709191614199445093277117060197412429
a(153) = 768904536987371790185045655829108831996923075979049978400899713276169499884542104880958740330292106154088806364129
a(154) = 4481167835028340972460682498644301692199105268353023690817864662378176661822603553600909961378478167874669023045393
a(155) = 26117832084921851573828436233434531710383354960963252513203903711263630715173193015238818220181896739258969374349332
a(156) = 152233356472100530257200781475906337187787205445058284420559212034262557793093033390980074496968583678672456768597481
a(157) = 887378623013734989802404416752651305099216311954285374405264548687327691471501372247583705084959996686910043671885568
a(158) = 5172901513796709614377537996578575671244836548146031842246111950064907612494794029551279764143991199850540503741500008
a(159) = 30156798800708485227577877135603474094568382081185701670941626562995653643803160576289659581583495649911585037321015573
a(160) = 175817348616064612234484577208812612809433345433197093793395260507647025538281674370261573041200902377045303925729994747
a(161) = 1025093214077875995269406289855089433919420236673362053059698190282282373642622877298339990267424776138214313516307248874
a(162) = 5977090413637959483801756576965949350464750011029275663244354462705136085268741617203908201758637567745287662599426352430
a(163) = 34853052690478949113998319804586437312286681876545267448093933101140098023554610833847047768327924544933606293033405227679
a(164) = 203243213451024302624295566410061334928172552546516931670317584218516159788827745221796014445083034328279769936279114540582
a(165) = 1185264351203925206451703552847374360759587620690937104534872760586351188008986617998307015348623680564328669958535448234117
a(166) = 6912546154220766998451415157087872959521197312705631893821738715354523349234995242555603060372221587583459483255721359641988
a(167) = 40316631128286374729201356709707322358920602447761521529544441928381876942648520398717252118000333455376083051109571481020636
a(168) = 235154621487729041854393095160188196672764378907582889806945895901333785492868773723752646885536698757277240957434954329380743
a(169) = 1371657306113896781757165656614834193106350805997603182076077961790818268005487322079476480092820210598823226655530607073268332
a(170) = 8001294870490948183185905578058870681239395761377620012244793646033487338775949690383938947906786187507906964310172756396592384
a(171) = 46676385614437405315987468729099597817420548247491842298746612520762281829735867109161458514692424923605107659654430729521709883
a(172) = 272305361773522974010225662424796167312440354370182199561117925291429135859843940669288010603515251930289340978617204986715757706
a(173) = 1588681882664325825289020292446109650302249180196045826132155792752381390009644592974205337170035071584714226706621315143634387946
a(174) = 9269135259820768690260889831854122635285003238933806529969527086044846092774676423663914032354422303119147267694413781114786017437
a(175) = 54083249525010210046224103276080501472033083740782353763696480467134018441056510156308778451523398806834978525714628750571008225281
a(176) = 315578477092743425111464945494502734449830638264783176500045065669974604087374368088766829313317319471799399345454653308514654189982
a(177) = 1841504469883266966877103112761938033449060370398781963972744713356755861593208018083578327442326249000936418163691153867571866302250
a(178) = 10746294758370474784517697841952479683109509247628456302232316122621123049519768696196500360802892937452790726379493241028770448112645
a(179) = 62714080699953234737452980672590734839534209872974231783236214988084103852167532432401941285009354467375794515607563423144782088575497
a(180) = 366008766600857821498552791750852589853930035490825591347075249049088893745926335516582305760634703526391809635156271790790338803550797
a(181) = 2136179821856779109595053776581723486895410886911912635652921334939174757075582987127693712950638728231730616967829817806982513708078745
a(182) = 12468201281270902504029755288286349654326369996205878970319919725858447576421841130982056689570150802278760141578014097528709149687313433
a(183) = 72776181035619929438785849074194881887529913566785908040377058719284242780658974941719351607306943040157106649144490498685241465373355216
a(184) = 424809254585117315435481207936953821581431273467953423877287580118569974581636542641183683382912274791041924513394598062325627254635349376
a(185) = 2479806072847316210696878384392744407489816258444915941349936049271539182398305616542208542579944096340785531613293692136853307760460710463
a(186) = 14476391086218512585606884889506175250318881967986392546916849480585179015620909777250337234275737205354072317383792502732052696257333978461
a(187) = 84512613564985182267394505927082370764825392634988413975006559049118336027302429093680593383347077437569032738516726322501304298035958004171
a(188) = 493402331414721388737346937886237476174510102794709178182504494011456788224605129683251583557214234676243986962167793088706074309054741687344
a(189) = 2880707125399625014095878878124738290474256863821396028826368423467989894814322807340423038476490479493539724174514978637027346425825001062584
a(190) = 16819577009313255575333120110931732043752920660250092087368806699585446617987355771810498124025458552346478787116965483890143575359379749485215
a(191) = 98208459134455557327141704999036140471726727877026545766130025537818479718342894283075141481770187680926781755423617621223735227024957218621191
a(192) = 573456399510516936988908172000619350563836173123215881699637795974395168935121921698020729461385073997911654927400318952221363925558201701326767
a(193) = 3348647292289677309742992562652183654851568713254481852388031663501391424022215908204601158836291746883917769259426943748914056814341426130886490
a(194) = 19554905678013031481771989084996211630217468594929178684208749916067170380983886997704061534253240704530282774795770132796730927491640797736091878
a(195) = 114198180321500383173526002979854976145647546737676745102048190866057208066135708670123205492450144877814343677393471667733726718579487999415155189
a(196) = 666929006854766706211116067607737231157512421241281551331069100919008422994410312158284090164995186181186652783472343192880476145533680387009809969
a(197) = 3895083950680668021869042172719069209280453059137057731832933773609956874813942477008141619608459741903887381305857444952343723301578450274959640111
a(198) = 22749437450213827589348313868562139590035320583076546033343958579698146719881358056369399412113741014448263243084299345430155176480748675238212963197
a(199) = 132874290393585563981466998024827965115192158543466788834559581859208285844159218082045678008231562626726044093507921322525685991687332110641879857322
a(200) = 776117627346913644834600741308756080179208653821257420998687465697034854220149591022539444350854109893236259797452652476214177571304731906009101433806
a(201) = 4533465003230716646371943352705489091594418132489914534094123691274254402608512122417727584676434201417622811568066522126490544187642884037380786820777
a(202) = 26481888904161422255436966236031189846800434273453870976106983633798033669990002100012738448549320666312559600817801191747634675416590872279957737329015
a(203) = 154697560727488586901738161992050332350010464997998003918253026120562235155571248369019909538635407491343627953371308856906895096348885749642811946132248
a(204) = 903719456126123242583943270992526509494050252350135086162283157772290125847429945545186129017949686083227854256003752834685979551031988729862881191534125
a(205) = 5279579165089762318655967047295670335079163301316625269061273893294426071379210231550110876648156633311500460836667862282238129883899292655306648671523963
a(206) = 30844684880887041839253628738937129634097631814768239232236070017679663564970189685741302983131375847860276846393071980972031192845791772253631819561217626
a(207) = 180209042184441094874307061869278453176804733488486166810152529413411371749694280139324104239004955474118419029687832888260270423608817930888196562585379223
a(208) = 1052901834663786370002597896095429480709893361763283359114176948906751742031676144480798533298374857207743013327610474030018134868330761611784009969835158430
a(209) = 6151968541968170311124225146684917795754633045523234503861604402516601048301812393700535490387094714692567647691523893017084379834835868807378404481626072322
a(210) = 35946375559951714451030630774898327281382714010852481191685218840260604808623822709433319167567209051178886095716592316152135172275096148036077312880589816504
a(211) = 210044225648473771246815987686073071326113678206223902663143751416315420777063655050606198003272089399152489020192406330082120061479285884851907073119549083259
a(212) = 1227385211886906956451599255992337776866571958076838043449379607442506682028725015998053768273733332461879250620377472840808704661807977142902736383711813194351
a(213) = 7172414673271649974726138733292905516456425271719795194893264636853379186103623199448050253435972987334711150548910687521379196456150393404032912102801564322476
a(214) = 41914484068107547854745192365613533941256496847779268810812363535335340435070323694229818810601134352299623556324282518483593158526704467158457407438727801543417
a(215) = 244949725676541323094791824027693784154019581842371012285347606498021618152591073281119159814282781116230334621785641131289486958037710198602747580865658367111321
a(216) = 1431540892000818695067990042409379276283763329754849472850828465263089697536909975821042156239029551353851201541238648019459231180055830286255849355266351771810673
a(217) = 8366511233621400574256375230633757120252463218384567300187559962627030629002651523843276044116196894563611749234661370734533226078184574119812410732123202424117974
a(218) = 48898861960251552153865689566951167764028617750854026473414842773928434715127624886475900328053312400538896542269515188215523469577070994950984831458822523446884693
a(219) = 285802940628891240440666123230441846796762045418444465390186772027788353742677869215111690542345620233247865885375342702676902330033754201451653621081211868676440811
a(220) = 1670506226711376432488991056525509499475524471443586958209797198211688902279181923439483727196321829630881667598294289254416277274646026775523647139905446986359238534
a(221) = 9764338972659378742440264256291272461043190806131376150099010352870836862305668041972748687385462212612585028535819466940654611251562397936912980922906934645692611450
a(222) = 57075643905591001233695138777575042418694713326974447943072184872745249145575606226861383938685747354044506368166807270569973546716291985003880560721370712778860493569
a(223) = 333635224698934571786893490525834308479974723429555514957187850010602435979616475505269971961417916881063248073837043967061966446235622476362034281676940271068518002398
a(224) = 1950320390653504535315467444946413099968752304050614241601890012011808086700923578338509916118657111121469067727251785117388901987237754789585858543349942052135162709568
a(225) = 11401261294042078834634465780001124251650950000169534780476529636877125503756390684286180334025956288396748331616963965229921240069272786661826395262765825557035685908063
a(226) = 66651909453227807307254409831499675998289055377409589413187165668684176923648843706527378309792544884445429836364495816076595443697820303112405018261550314794646524066085
a(227) = 389659204254467091110008223979849396637105473745140591087579864680122334625968058442758308019035809846314959618962582266642876207791268984557224217586918480194569915700484
a(228) = 2278084447569710884692994781530626491228214371175641512697434216804355653661701801378585071846405512761349505825794646360035788618865960768712097717418311651855993549333222
a(229) = 13318862209461970314609024125561730958295134927094503000258933243208823800670218452258299069630028163219256447684523675502068650598242714622081085029486845102816042887354369
a(230) = 77871179306788856627501272098479315878494971780821349280167230008399365982374579503659162113495037600704680362169689350681672236490928002644854470764288513419785152163543032
a(231) = 455300985572205582403121835820051517624028819186242715285869116290954303510869607276066397638837340510068261893978650120632440913209439544359605955024391664049972258607630344
a(232) = 2662150087196269981194547553628980161235052323054178259993695696201016785078003532801106293525771617659909694827813565086986379634271853522699148085497567419831148377315600975
a(233) = 15566052346535832285569886166777920868867955954699746691582410394915472219781241538324788296054032216769622486779926323771265902742511000671519466234911649456508783650073312591
a(234) = 91019896659451352845687189003748540104469699875483844746380394514092240633248627867783132217045520131975378973411337139359905412435146490589273201278363827578745226788922367745
a(235) = 532238136634263994893593421602587134861022804390514153745580830309440460183534137345801985952183991107213436777544281531882280869125641723554316651066883489857990379827940793091
a(236) = 3112342207906315274502876337708139700200344395013830403595345256471134305235577665351185088284854091030314827441047256298887125172926995983082207559649707027225560799238705881478
a(237) = 18200373351918789582332374760632639598646543155821721489784350202089366404172652574426715973139082320808784794480481076100518788193184889207462526592584743065204280628597757674300
a(238) = 106435071482540946802681185612027686909883305659305809910839684683501648268601607821216403791728594388463519318500246635307042301599042671224096981166025968106562639774972129529392
a(239) = 622444485993684965930683666947011092370323037381560229717929438232181037708225848079410193140730918988512884788675575620158546551966741021385472192923165743421035385754109329957002
a(240) = 3640221460426422003725837427043258818489760638065752162662089383625443997560957500318920168350448037373271411907617277788061165766442953152708229232856960039678270555924124780536826
a(241) = 21289536545021452859059832441669762334748642803435802008344441900239837205026280819950323868546847056393692210294533990277799021838957559732295327973916475576346287806313116061931940
a(242) = 124513297997037250541709603852744701506890080613530767641322983126616942474418931287576513150918090802784892311482625694438710165344064747394064582648235852419828671478151709669484107
a(243) = 728242971348247142140399519893948078127560275069019412384023644176782214510237126576434455663539537944911123098863737357061751022869205928730779391188423175291494050774535766000972784
a(244) = 4259393980029851284042284899488236145714241048671888841287436225605793700467201580841988534313985063013238606988490343525342196045323368430545082484571320081292607510215475633400747766
a(245) = 24913238199524480597144979422114171853546988257613070065992216166212660014011153402084209440679361234380787030328236783781925660221982616311445290894646787854375802325737244854154856630
a(246) = 145721393804715386820357584269204776536275502465174754397738267246228369879307110456731735410012693245251794584694673364504328744843221421828248171268532324522775847274261940192988773072
a(247) = 852367994766447686823176545804833055239006534559080656591419267725730552589009491388169943815601484851255186650158798493045171829785232990560023686695961276877864407682454745526036032089
a(248) = 4985876850070811261420739142712467257443763238038977192044574361327665633455501420512015379126136353590231360166566181018240504009955936686504200528722349325401784275718655766198416666609
a(249) = 29165301544618812114363803410996409164645660223157472697590890440252643506242497660433696521350822814615751937120135223619765657586536842859083909089553039513746922292241380702317513075785
a(250) = 170608954400284597162258378627055543262132639151049603937800772955242430124612335128491341161579496680239044428501595779740081951138615894329849882920376334027936976985551172950204248765062
a(251) = 998039006857889562794303164106959372584187596980324303498966678006386250052994708375691001735603136433193937895781540847007067067997593134210729447309933918885163120350691416801905762251947
a(252) = 5838529395936326950298158437493302317860892753702530684198130180462202447573187336412045602191851418248081092354645953930732507007995297634342261216685997252841407102899826213010041690486336
a(253) = 34156204704824176581342808983697567038467023806477721538154426521865020219194536465683620052432263988326170983582757586929155346517131574791893399611987073732085954010772507234340327074618372
a(254) = 199823170314156829686452290457338414729636299157739631803813037715456131772066664444728700047317346307026335916169000453174029203095352878442691622980231185763774408227933961516185761229621726
a(255) = 1169047356119200535322891720853372594928208350974780620539078828499430941353525979085761248481949756110606149469243445734719968872142418016939350125352000386151909399302795680219124448984007311
a(256) = 6839562249731270199711233055367996918722742491722269276495712733817380036125645974474792017291557595217115762228728821398578030840721038001086503282671168118118162207682670620429028060968519802
a(257) = 40016064596107967399270739295285382198862475976122269611745846316296824027175630521794450320196025243268191299005013106663326991817558268916331221037163649333781852748580920560100255982726955498
a(258) = 234126317471316919489425428044244310680013859270838675843691449933650332926031159719577874734861508890864888588180837741272297476589986362453724327414985309875268379298364744814405447745628366747
a(259) = 1369858811156695068277744634410429797057897849939810100972664472731100851681065376109031852281030113567063519118639959067578868139510300247189239558165665093679506944944172244816012738392121454624
a(260) = 8015138304731175050128538357829359471452692042496839828849112737474915739774343525091900085473395624744009301216193449389940873725922702073573391066417831934826960028462120886630177344487670446184
a(261) = 46898159574579834303078841889742740577430382449255044972123191936319114615002564290271287157693974541811403074143587111734947960897065316756428682861270119010524837600525586187857256407588369200776
a(262) = 274416406300653051110579243366116334288034468858944101791679025232046349141500811521266911709516163691372794107171827361688885070055097230404810059635722584000707044531854436399192235257170059486010
a(263) = 1605734603080959924714169880666873155083497183007050487526805193006294849112576103193672930378247593974801736810207544860456509570933211454310713154600822660808055426005246703555997282229138353421856
a(264) = 9396082256984010727847624895251437499254846687247301890093982880865906052236210944148587342352634894294088741484955562634115728308399404300169752977523436969453622776947953964324264452390639748800026
a(265) = 54983088756895032135326448770662444203061572452854935650860483392748624459603234649670625104578801546934934852910715106954693703998688337177346417900660070569563593679477027336131414457480530070121028
a(266) = 321751563830295549953193642354571063024658148278169054228086539222947078675123557200798214456399832722736854559943774086763824523521257062788723959032746480160932689948351421735477388882593501156674055
a(267) = 1882874355637618112871474318108721092161836519553867969200752443264562294139756524367295441873373752108313957689549336525172123878794160312799042403534475105638422248628078767102293028641558193553454882
a(268) = 11018718483055794628078045114484216648273313714199214813358405969395043470907591223642850113416882208162460694193032993672256338607266730383548702759466890848024759795101352148234741741562833383196375827
a(269) = 64483683830718109499166913012423996477546603921515664941738014599850188257204193173134455277602930673904819543966704482378747550667617058702321767336502619780339222425796674474636330501481292019123958251
a(270) = 377378827992965772822232023259793790418303332256353935751558253968694515533465835858288572956855352183897428892290223555982131604721440463521104886751732066734555673597967565567196693334071903147454517188
a(271) = 2208584886455920899467690900657342496741044387444239808931115760050247372427234912821098633550890997905441623100997597435292443370082315315260048175472174427017379108053311084975092825227365144978255608149
a(272) = 12925860615060945371366830424911233410145591326059797711344377350365408431175744949302611635402043068768629063963245426248204691329575278881836557274786857524938038184165162959126488907417433036448807133395
a(273) = 75650810361188753246502194026676057821927657852290442951134674416352688256019798789250838142475485748522201133618713119367169236119343869113580627093541019454253105902092473246498815096742040477821083411959
a(274) = 442768157645193204567028443403643168200153572454685523459684215442783376921795571255627317383187255534716251872229219143366692353750271590595003124410033023991376665204864609859938036556561694448027787780561
a(275) = 2591479591788912935372502668313782759695120834654663115616495911274501239126369550412566181680144147174936506787044007181061754311598771639613810152741809807119512152818560816542339243884834526608588059201149
a(276) = 15167980450217595254843444687650159791071521889422329070665141101810208471899952858123965351063129649244273471409196462700833093618474635977279760972933988177673732933653241418151324339711909511935389140598796
a(277) = 88780220682109096257078653199469326694502122741850331594244213294510772756609044523164716119487207816615891726718514855175729136282451079228863613274370865195849735633271000245572335186755812747291348972824450
a(278) = 519652608935986104494127997741249284752732851184305639596268104904806528829668070451688001640840744461964246305743133714577015835834845380957860180369231312845422009049756167088248595661511873208864163374139322
a(279) = 3041713990176744176916677663907735119212439971505367324128512134946843935504583553743146083441530333214849630148895900487712328290433465438209881653057737839222871878623100462895893894508263506342302528886394404
a(280) = 17804588894799424961127499576780456388013264299938477577767666066287189038617462070809182021887243049469987872654122210430983944214738220696473691964870451215741582918974299463553363917686772368380587326636019078
a(281) = 104220650157774570769274976218859343502277972826676109362143948113850238097031113800002368528357165632013954411133653442526690234186801012605137829673501393666017662022054054160935996244973952181622081109131163354
a(282) = 610075802864334499030623619723040463841370232014230764968813880937274002615831169741723821767445991864057958975769553547210074444519677783498628900524819625367502349340883823666578420732437310090522429332243482642
a(283) = 3571264022350783058598152767495832404523887577561666962652339107533145408581317420729343754246383780668617227320518872252642269548654389508699715969160799708428365286850984703435161683519489242690776027120326613567
a(284) = 20905867636816883446334679304887470147500814435914934527354263015073631554076356282481829108301525392398271893765814050180372414248611056426203337835405064845972720396331665731739270043693841476751841542380735754175
a(285) = 122383383765561265999564914595187502967769591869588417322290415554805833254212374205833002140571021086057449359320832602651741571222187596748140210141062227329715841270003637044292000084479662504773221696846488223070
a(286) = 716448015143382786672796385208683982952005382630375662224311777814905864564984220792675431356866901739674079427964482138471820880071608269014598359329652706886715818856983113637415074050933440545558954744440362526718
a(287) = 4194254914764517902433771595734199766666486940573547291201903589191439557374503158570757608984908294403832516458514792319033625351040088453314284243338677605234709850626876658653623574415374869440215949881903057603212
a(288) = 24554597340294765107377367762586484863173118248294880968417083834004861273945955943650970134109337838911498063860388296108262116592108687451973055009099673873361241639657810188009777890219545324495986567761673150111200
a(289) = 143753561591250501408933376308118770512268414570163498744396721170769793272904801194015334611818884593568387039588301460097277035872303347193472230873388456959089977283911847688945663858942571871334135464739694763965747
a(n+290) = 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045668231251988968981402076619449829812455784574416693840546*n+41771708411788230148625289628422760019606117493135745382152851115522440)/(n+293)/(n+291)/(n+290)/(n+289)/(n+288)*a(n+115), n >= 290
Recurrence in latex format:
a(0) = 1
a(1) = 1
a(2) = 2
a(3) = 6
a(4) = 24
a(5) = 110
a(6) = 533
a(7) = 2633
a(8) = 13156
a(9) = 66480
a(10) = 339904
a(11) = 1757514
a(12) = 9179341
a(13) = 48364044
a(14) = 256753628
a(15) = 1372040320
a(16) = 7374414515
a(17) = 39839625287
a(18) = 216218841272
a(19) = 1178316416377
a(20) = 6445379164373
a(21) = 35375656826145
a(22) = 194760439751590
a(23) = 1075286198551029
a(24) = 5952166058838587
a(25) = 33026744399984541
a(26) = 183661538367128105
a(27) = 1023440975175263537
a(28) = 5713959880110534141
a(29) = 31958423025391564394
a(30) = 179042735775460035065
a(31) = 1004628530924164593986
a(32) = 5645340998050868702170
a(33) = 31766755335721172932847
a(34) = 178985956489019304052053
a(35) = 1009710335971357046566740
a(36) = 5702657818857709249989177
a(37) = 32242872699841441493197318
a(38) = 182490964324380636664542286
a(39) = 1033897326641385527872722868
a(40) = 5863011415402299705111328970
a(41) = 33277580625122844238238559009
a(42) = 189039344557506057541322903721
a(43) = 1074744289667723989893730791164
a(44) = 6114975869147399120600454735191
a(45) = 34818192430375569397066102618078
a(46) = 198392721056587827687971225271137
a(47) = 1131202419555893251325849730619049
a(48) = 6454131876128386955284307405270693
a(49) = 36847399142281026958272448055159532
a(50) = 210492482608910173289286380959593608
a(51) = 1203142224240572985091985592399276467
a(52) = 6880792008871729430829228338773155965
a(53) = 39372407071159641683256974339520047345
a(54) = 225407864398515069660348214856765320647
a(55) = 1291105317937305638782674156527065936130
a(56) = 7398814809368012217798167067341796756559
a(57) = 42419280447238278493822531525505761859905
a(58) = 243309032792210027509970039229622523355774
a(59) = 1396176903591238950143218114896315800798523
a(60) = 8015004280030430837851137616981837164556768
a(61) = 46030137465684224918208585625521046237047565
a(62) = 264454148099197425127479671274285808437130059
a(63) = 1519927079526567336242607469628996956457746349
a(64) = 8738850031007024532883881495449390710898055458
a(65) = 50262041617193263999733878983567954331435315393
a(66) = 289184911362025549108464895765143520541638239043
a(67) = 1664394851578195450528869284541063729349480617727
a(68) = 9582483689338824977316442066474812251699112329010
a(69) = 55186995026047446482298536416001919100577854010825
a(70) = 317927762956642124802504040269958201936980788774904
a(71) = 1832101324254539701023334713637713789999669953832399
a(72) = 10560786979802625399960226587674463839715870181670775
a(73) = 60892725643966523107473934181517981851787937319935865
a(74) = 351199265416321870019229891594205244979452262484110614
a(75) = 2026085101131456879242553804831783937885586913960655651
a(76) = 11691618514003680046463250988983366631158526962922731001
a(77) = 67484113316084793530850714690536073549411428084082214125
a(78) = 389614947747831841612753114659221292174085064889623453385
a(79) = 2249956562349816120773468422109215876034220278489252694027
a(80) = 12996144168625173549313770547081515603551111312140618586148
a(81) = 75085187676019876847490864218929057302531483217003859766871
a(82) = 433901324011663058096781146923601046437093729866006672749912
a(83) = 2507969854888870997898052791996855599594656487578084776836469
a(84) = 14499266782864239718157585532535942653476045845699494013644524
a(85) = 83841685433935096418532510553165600447178494415523639436278165
a(86) = 484911075448985590300921599522039872761514081110593237445675315
a(87) = 2805112840318755881416282626774013572734785592607471203786899654
a(88) = 16230158132791207915824709129691641481162985115728913225421350745
a(89) = 93924191952371966703862292738835440813838056884876847076636529675
a(90) = 543641579626183574048629428782297545224877206051266266870140946234
a(91) = 3147216262251830905761426976929192892896616860370441276769750622830
a(92) = 18222901511595074177998418465294427805080343297285186915249241159908
a(93) = 105531920569832616169340379674710423066713140030817895266264667268595
a(94) = 611257123112394656728809921213448926374009757960371260343472949480029
a(95) = 3541084221685955153021703301451940149571928517019843685230713042341706
a(96) = 20517257734193860109706892495048959012459955410590313425595641305477759
a(97) = 118897207702135314099073825951792961785033558733891549895910327917100570
a(98) = 689115269551953903713149126648253471231921621081476240633479145784375828
a(99) = 3994648798608978943966583748340959559327003894968963565494289281619242282
a(100) = 23159571566653142259825116384402268548462251004396385442864619137619104377
a(101) = 134290825189210579939341578192919220713757792685761003094522258260197785918
a(102) = 778797986994169315457582888496814750983780986231455079671147141962899260967
a(103) = 4517152404987737041358673947947544696008597423497496095625523592996655558309
a(104) = 26203839822519432818156554662327769210170341124049908582740161721538529851699
a(105) = 152028235536093171906632326141772575283784515506155523335001184547910093170338
a(106) = 882148276645537937841192493559520278452530608251422399537684296508581537483019
a(107) = 5119362247580620297958957983240130881504642739263706685034204622894726304393963
a(108) = 29712966930437105569485361920430741325541843363141766159993171519255370661544878
a(109) = 172476941993697820371542860291279880664128980430939542808350623654501326506223324
a(110) = 1001313197088844172364510205374632807199584628702859468453297470541184911799735488
a(111) = 5813822157753755958592955831430461045944388870929165519380171510399566769052723996
a(112) = 33760238869509814499464816585865274878307834889389247334561851155864236616514087766
a(113) = 196065114972529568978720041263746309851007054519291290488308601914818497251535498774
a(114) = 1138794349671381265463578212053931773306980665479749040256121867073318137979355426955
a(115) = 6615148043771735630384773109183709510304646970420217244581334278544177827965742459148
a(116) = 38431052179795670855928485556284744221775266579681686661718880195821258995458888571069
a(117) = 223291710134057782197312670247289299922689697896426414244716776668529542750784425687561
a(118) = 1297507088103916345799448869822677983369232981723437653783458419246827091550761873191531
a(119) = 7540374372131027599932341265230775656040903502867751359585889923972922047057002532594301
a(120) = 43824941473332764135948206151489698395676210126537967588876083881260296626021831421226157
a(121) = 254738332730146063336749804452205979067279560111027577383256796974590821634847513432668743
a(122) = 1480849944439041328164452874982585924286863980139840409906874927406427523546713578443903530
a(123) = 8609360423368724131137917483508882847639513975071398110428440945291394282202910099387215641
a(124) = 50057956696954118396351624035666471426131986521684168061715536573173289427307130826091523488
a(125) = 291083148516766071495944692699541989692673351410674345870851540877147133652725351776972672412
a(126) = 1692786031184580038474537789408338319878254887939438205289798634589231811440029978967965585032
a(127) = 9845266632999191267273656811408102468159699274348216021128629361007224745256474239474190919854
a(128) = 57265450555431463257848077791751609318959291118621928933907805181509821762317243125440778253640
a(129) = 333117195151464443308817275706497553261056764583361382731701865562542417668630887934047447982386
a(130) = 1937938492892164540550041509866495114986968029238301146989834970922749739221095700716245163491388
a(131) = 11275113163652967539359556985197134567117583379439375905379036623850195368678568681378735377529291
a(132) = 65605347247507217084416280530272660884778083328606309705907293929381591879844639455178083256786398
a(133) = 381763510882772016845784839722449583043617588477713367304231880652187773753746678480506838754287184
a(134) = 2221702448822398816043792149225852978364022320157634016713946739698933782729155940253140052821525854
a(135) = 12930435010773809536998430367408007653880359720555157927100814172312388796318514451845481629351713245
a(136) = 75261976293970175870931093467000232911664634620238640187633719740078608692586876458941208517096578553
a(137) = 438099571282452665123354616154229856870189208888625650017776987445946188650021943828115146541986069146
a(138) = 2550376301329867101194213213405331731738557472719611416102884901476151462110325540377586807242081963613
a(139) = 14848050480452294888428240522148654068087235900818220588207963718840016972695122774432276576543410432440
a(140) = 86450570091691941362186130067518858557390644085974525654374737833540455795933152058586819959577099281493
a(141) = 503383611780246018427329051232964325717365272255221792482111646717165051274567963366569607747337575635433
a(142) = 2931315794267704509898085280393038710842562857334646226277349082638426660945651595208994260556987604808294
a(143) = 17070962863411554966348668046935128781894037248457027675053904395995446900858802096981866706633985124313733
a(144) = 99422541316054101152073856394486761591148677425608783681715134442767693294754135380330662535325051914405632
a(145) = 579085516210590480598526684487505597135552887590678600576442964100627459060255691071482553048449793296204285
a(146) = 3373114805892167948496960969351499505789560649245729562011855545947203766074918290301181774254809476529456321
a(147) = 19649418645286247597626863830302520278906286390666494427420686486945323742919831016931029804487982759674576516
a(148) = 114471676893733713923218823832252861393049316744926967257048960147529141494021056050508578967833822981938792038
a(149) = 666923072267856277493570319510222153939147782366888076322151613988276060807589385678051493312389170582520070483
a(150) = 3885817567835367374664212689014564616766372866225842294247960042972176040019661548959124060948518697401517264386
a(151) = 22642149736144553022566365159337955516970290912445296637823793641756008845647917983775865350401471332055286739598
a(152) = 131941409540896003602051958392977086357175968769757676064383511243260956678927709191614199445093277117060197412429
a(153) = 768904536987371790185045655829108831996923075979049978400899713276169499884542104880958740330292106154088806364129
a(154) = 4481167835028340972460682498644301692199105268353023690817864662378176661822603553600909961378478167874669023045393
a(155) = 26117832084921851573828436233434531710383354960963252513203903711263630715173193015238818220181896739258969374349332
a(156) = 152233356472100530257200781475906337187787205445058284420559212034262557793093033390980074496968583678672456768597481
a(157) = 887378623013734989802404416752651305099216311954285374405264548687327691471501372247583705084959996686910043671885568
a(158) = 5172901513796709614377537996578575671244836548146031842246111950064907612494794029551279764143991199850540503741500008
a(159) = 30156798800708485227577877135603474094568382081185701670941626562995653643803160576289659581583495649911585037321015573
a(160) = 175817348616064612234484577208812612809433345433197093793395260507647025538281674370261573041200902377045303925729994747
a(161) = 1025093214077875995269406289855089433919420236673362053059698190282282373642622877298339990267424776138214313516307248874
a(162) = 5977090413637959483801756576965949350464750011029275663244354462705136085268741617203908201758637567745287662599426352430
a(163) = 34853052690478949113998319804586437312286681876545267448093933101140098023554610833847047768327924544933606293033405227679
a(164) = 203243213451024302624295566410061334928172552546516931670317584218516159788827745221796014445083034328279769936279114540582
a(165) = 1185264351203925206451703552847374360759587620690937104534872760586351188008986617998307015348623680564328669958535448234117
a(166) = 6912546154220766998451415157087872959521197312705631893821738715354523349234995242555603060372221587583459483255721359641988
a(167) = 40316631128286374729201356709707322358920602447761521529544441928381876942648520398717252118000333455376083051109571481020636
a(168) = 235154621487729041854393095160188196672764378907582889806945895901333785492868773723752646885536698757277240957434954329380743
a(169) = 1371657306113896781757165656614834193106350805997603182076077961790818268005487322079476480092820210598823226655530607073268332
a(170) = 8001294870490948183185905578058870681239395761377620012244793646033487338775949690383938947906786187507906964310172756396592384
a(171) = 46676385614437405315987468729099597817420548247491842298746612520762281829735867109161458514692424923605107659654430729521709883
a(172) = 272305361773522974010225662424796167312440354370182199561117925291429135859843940669288010603515251930289340978617204986715757706
a(173) = 1588681882664325825289020292446109650302249180196045826132155792752381390009644592974205337170035071584714226706621315143634387946
a(174) = 9269135259820768690260889831854122635285003238933806529969527086044846092774676423663914032354422303119147267694413781114786017437
a(175) = 54083249525010210046224103276080501472033083740782353763696480467134018441056510156308778451523398806834978525714628750571008225281
a(176) = 315578477092743425111464945494502734449830638264783176500045065669974604087374368088766829313317319471799399345454653308514654189982
a(177) = 1841504469883266966877103112761938033449060370398781963972744713356755861593208018083578327442326249000936418163691153867571866302250
a(178) = 10746294758370474784517697841952479683109509247628456302232316122621123049519768696196500360802892937452790726379493241028770448112645
a(179) = 62714080699953234737452980672590734839534209872974231783236214988084103852167532432401941285009354467375794515607563423144782088575497
a(180) = 366008766600857821498552791750852589853930035490825591347075249049088893745926335516582305760634703526391809635156271790790338803550797
a(181) = 2136179821856779109595053776581723486895410886911912635652921334939174757075582987127693712950638728231730616967829817806982513708078745
a(182) = 12468201281270902504029755288286349654326369996205878970319919725858447576421841130982056689570150802278760141578014097528709149687313433
a(183) = 72776181035619929438785849074194881887529913566785908040377058719284242780658974941719351607306943040157106649144490498685241465373355216
a(184) = 424809254585117315435481207936953821581431273467953423877287580118569974581636542641183683382912274791041924513394598062325627254635349376
a(185) = 2479806072847316210696878384392744407489816258444915941349936049271539182398305616542208542579944096340785531613293692136853307760460710463
a(186) = 14476391086218512585606884889506175250318881967986392546916849480585179015620909777250337234275737205354072317383792502732052696257333978461
a(187) = 84512613564985182267394505927082370764825392634988413975006559049118336027302429093680593383347077437569032738516726322501304298035958004171
a(188) = 493402331414721388737346937886237476174510102794709178182504494011456788224605129683251583557214234676243986962167793088706074309054741687344
a(189) = 2880707125399625014095878878124738290474256863821396028826368423467989894814322807340423038476490479493539724174514978637027346425825001062584
a(190) = 16819577009313255575333120110931732043752920660250092087368806699585446617987355771810498124025458552346478787116965483890143575359379749485215
a(191) = 98208459134455557327141704999036140471726727877026545766130025537818479718342894283075141481770187680926781755423617621223735227024957218621191
a(192) = 573456399510516936988908172000619350563836173123215881699637795974395168935121921698020729461385073997911654927400318952221363925558201701326767
a(193) = 3348647292289677309742992562652183654851568713254481852388031663501391424022215908204601158836291746883917769259426943748914056814341426130886490
a(194) = 19554905678013031481771989084996211630217468594929178684208749916067170380983886997704061534253240704530282774795770132796730927491640797736091878
a(195) = 114198180321500383173526002979854976145647546737676745102048190866057208066135708670123205492450144877814343677393471667733726718579487999415155189
a(196) = 666929006854766706211116067607737231157512421241281551331069100919008422994410312158284090164995186181186652783472343192880476145533680387009809969
a(197) = 3895083950680668021869042172719069209280453059137057731832933773609956874813942477008141619608459741903887381305857444952343723301578450274959640111
a(198) = 22749437450213827589348313868562139590035320583076546033343958579698146719881358056369399412113741014448263243084299345430155176480748675238212963197
a(199) = 132874290393585563981466998024827965115192158543466788834559581859208285844159218082045678008231562626726044093507921322525685991687332110641879857322
a(200) = 776117627346913644834600741308756080179208653821257420998687465697034854220149591022539444350854109893236259797452652476214177571304731906009101433806
a(201) = 4533465003230716646371943352705489091594418132489914534094123691274254402608512122417727584676434201417622811568066522126490544187642884037380786820777
a(202) = 26481888904161422255436966236031189846800434273453870976106983633798033669990002100012738448549320666312559600817801191747634675416590872279957737329015
a(203) = 154697560727488586901738161992050332350010464997998003918253026120562235155571248369019909538635407491343627953371308856906895096348885749642811946132248
a(204) = 903719456126123242583943270992526509494050252350135086162283157772290125847429945545186129017949686083227854256003752834685979551031988729862881191534125
a(205) = 5279579165089762318655967047295670335079163301316625269061273893294426071379210231550110876648156633311500460836667862282238129883899292655306648671523963
a(206) = 30844684880887041839253628738937129634097631814768239232236070017679663564970189685741302983131375847860276846393071980972031192845791772253631819561217626
a(207) = 180209042184441094874307061869278453176804733488486166810152529413411371749694280139324104239004955474118419029687832888260270423608817930888196562585379223
a(208) = 1052901834663786370002597896095429480709893361763283359114176948906751742031676144480798533298374857207743013327610474030018134868330761611784009969835158430
a(209) = 6151968541968170311124225146684917795754633045523234503861604402516601048301812393700535490387094714692567647691523893017084379834835868807378404481626072322
a(210) = 35946375559951714451030630774898327281382714010852481191685218840260604808623822709433319167567209051178886095716592316152135172275096148036077312880589816504
a(211) = 210044225648473771246815987686073071326113678206223902663143751416315420777063655050606198003272089399152489020192406330082120061479285884851907073119549083259
a(212) = 1227385211886906956451599255992337776866571958076838043449379607442506682028725015998053768273733332461879250620377472840808704661807977142902736383711813194351
a(213) = 7172414673271649974726138733292905516456425271719795194893264636853379186103623199448050253435972987334711150548910687521379196456150393404032912102801564322476
a(214) = 41914484068107547854745192365613533941256496847779268810812363535335340435070323694229818810601134352299623556324282518483593158526704467158457407438727801543417
a(215) = 244949725676541323094791824027693784154019581842371012285347606498021618152591073281119159814282781116230334621785641131289486958037710198602747580865658367111321
a(216) = 1431540892000818695067990042409379276283763329754849472850828465263089697536909975821042156239029551353851201541238648019459231180055830286255849355266351771810673
a(217) = 8366511233621400574256375230633757120252463218384567300187559962627030629002651523843276044116196894563611749234661370734533226078184574119812410732123202424117974
a(218) = 48898861960251552153865689566951167764028617750854026473414842773928434715127624886475900328053312400538896542269515188215523469577070994950984831458822523446884693
a(219) = 285802940628891240440666123230441846796762045418444465390186772027788353742677869215111690542345620233247865885375342702676902330033754201451653621081211868676440811
a(220) = 1670506226711376432488991056525509499475524471443586958209797198211688902279181923439483727196321829630881667598294289254416277274646026775523647139905446986359238534
a(221) = 9764338972659378742440264256291272461043190806131376150099010352870836862305668041972748687385462212612585028535819466940654611251562397936912980922906934645692611450
a(222) = 57075643905591001233695138777575042418694713326974447943072184872745249145575606226861383938685747354044506368166807270569973546716291985003880560721370712778860493569
a(223) = 333635224698934571786893490525834308479974723429555514957187850010602435979616475505269971961417916881063248073837043967061966446235622476362034281676940271068518002398
a(224) = 1950320390653504535315467444946413099968752304050614241601890012011808086700923578338509916118657111121469067727251785117388901987237754789585858543349942052135162709568
a(225) = 11401261294042078834634465780001124251650950000169534780476529636877125503756390684286180334025956288396748331616963965229921240069272786661826395262765825557035685908063
a(226) = 66651909453227807307254409831499675998289055377409589413187165668684176923648843706527378309792544884445429836364495816076595443697820303112405018261550314794646524066085
a(227) = 389659204254467091110008223979849396637105473745140591087579864680122334625968058442758308019035809846314959618962582266642876207791268984557224217586918480194569915700484
a(228) = 2278084447569710884692994781530626491228214371175641512697434216804355653661701801378585071846405512761349505825794646360035788618865960768712097717418311651855993549333222
a(229) = 13318862209461970314609024125561730958295134927094503000258933243208823800670218452258299069630028163219256447684523675502068650598242714622081085029486845102816042887354369
a(230) = 77871179306788856627501272098479315878494971780821349280167230008399365982374579503659162113495037600704680362169689350681672236490928002644854470764288513419785152163543032
a(231) = 455300985572205582403121835820051517624028819186242715285869116290954303510869607276066397638837340510068261893978650120632440913209439544359605955024391664049972258607630344
a(232) = 2662150087196269981194547553628980161235052323054178259993695696201016785078003532801106293525771617659909694827813565086986379634271853522699148085497567419831148377315600975
a(233) = 15566052346535832285569886166777920868867955954699746691582410394915472219781241538324788296054032216769622486779926323771265902742511000671519466234911649456508783650073312591
a(234) = 91019896659451352845687189003748540104469699875483844746380394514092240633248627867783132217045520131975378973411337139359905412435146490589273201278363827578745226788922367745
a(235) = 532238136634263994893593421602587134861022804390514153745580830309440460183534137345801985952183991107213436777544281531882280869125641723554316651066883489857990379827940793091
a(236) = 3112342207906315274502876337708139700200344395013830403595345256471134305235577665351185088284854091030314827441047256298887125172926995983082207559649707027225560799238705881478
a(237) = 18200373351918789582332374760632639598646543155821721489784350202089366404172652574426715973139082320808784794480481076100518788193184889207462526592584743065204280628597757674300
a(238) = 106435071482540946802681185612027686909883305659305809910839684683501648268601607821216403791728594388463519318500246635307042301599042671224096981166025968106562639774972129529392
a(239) = 622444485993684965930683666947011092370323037381560229717929438232181037708225848079410193140730918988512884788675575620158546551966741021385472192923165743421035385754109329957002
a(240) = 3640221460426422003725837427043258818489760638065752162662089383625443997560957500318920168350448037373271411907617277788061165766442953152708229232856960039678270555924124780536826
a(241) = 21289536545021452859059832441669762334748642803435802008344441900239837205026280819950323868546847056393692210294533990277799021838957559732295327973916475576346287806313116061931940
a(242) = 124513297997037250541709603852744701506890080613530767641322983126616942474418931287576513150918090802784892311482625694438710165344064747394064582648235852419828671478151709669484107
a(243) = 728242971348247142140399519893948078127560275069019412384023644176782214510237126576434455663539537944911123098863737357061751022869205928730779391188423175291494050774535766000972784
a(244) = 4259393980029851284042284899488236145714241048671888841287436225605793700467201580841988534313985063013238606988490343525342196045323368430545082484571320081292607510215475633400747766
a(245) = 24913238199524480597144979422114171853546988257613070065992216166212660014011153402084209440679361234380787030328236783781925660221982616311445290894646787854375802325737244854154856630
a(246) = 145721393804715386820357584269204776536275502465174754397738267246228369879307110456731735410012693245251794584694673364504328744843221421828248171268532324522775847274261940192988773072
a(247) = 852367994766447686823176545804833055239006534559080656591419267725730552589009491388169943815601484851255186650158798493045171829785232990560023686695961276877864407682454745526036032089
a(248) = 4985876850070811261420739142712467257443763238038977192044574361327665633455501420512015379126136353590231360166566181018240504009955936686504200528722349325401784275718655766198416666609
a(249) = 29165301544618812114363803410996409164645660223157472697590890440252643506242497660433696521350822814615751937120135223619765657586536842859083909089553039513746922292241380702317513075785
a(250) = 170608954400284597162258378627055543262132639151049603937800772955242430124612335128491341161579496680239044428501595779740081951138615894329849882920376334027936976985551172950204248765062
a(251) = 998039006857889562794303164106959372584187596980324303498966678006386250052994708375691001735603136433193937895781540847007067067997593134210729447309933918885163120350691416801905762251947
a(252) = 5838529395936326950298158437493302317860892753702530684198130180462202447573187336412045602191851418248081092354645953930732507007995297634342261216685997252841407102899826213010041690486336
a(253) = 34156204704824176581342808983697567038467023806477721538154426521865020219194536465683620052432263988326170983582757586929155346517131574791893399611987073732085954010772507234340327074618372
a(254) = 199823170314156829686452290457338414729636299157739631803813037715456131772066664444728700047317346307026335916169000453174029203095352878442691622980231185763774408227933961516185761229621726
a(255) = 1169047356119200535322891720853372594928208350974780620539078828499430941353525979085761248481949756110606149469243445734719968872142418016939350125352000386151909399302795680219124448984007311
a(256) = 6839562249731270199711233055367996918722742491722269276495712733817380036125645974474792017291557595217115762228728821398578030840721038001086503282671168118118162207682670620429028060968519802
a(257) = 40016064596107967399270739295285382198862475976122269611745846316296824027175630521794450320196025243268191299005013106663326991817558268916331221037163649333781852748580920560100255982726955498
a(258) = 234126317471316919489425428044244310680013859270838675843691449933650332926031159719577874734861508890864888588180837741272297476589986362453724327414985309875268379298364744814405447745628366747
a(259) = 1369858811156695068277744634410429797057897849939810100972664472731100851681065376109031852281030113567063519118639959067578868139510300247189239558165665093679506944944172244816012738392121454624
a(260) = 8015138304731175050128538357829359471452692042496839828849112737474915739774343525091900085473395624744009301216193449389940873725922702073573391066417831934826960028462120886630177344487670446184
a(261) = 46898159574579834303078841889742740577430382449255044972123191936319114615002564290271287157693974541811403074143587111734947960897065316756428682861270119010524837600525586187857256407588369200776
a(262) = 274416406300653051110579243366116334288034468858944101791679025232046349141500811521266911709516163691372794107171827361688885070055097230404810059635722584000707044531854436399192235257170059486010
a(263) = 1605734603080959924714169880666873155083497183007050487526805193006294849112576103193672930378247593974801736810207544860456509570933211454310713154600822660808055426005246703555997282229138353421856
a(264) = 9396082256984010727847624895251437499254846687247301890093982880865906052236210944148587342352634894294088741484955562634115728308399404300169752977523436969453622776947953964324264452390639748800026
a(265) = 54983088756895032135326448770662444203061572452854935650860483392748624459603234649670625104578801546934934852910715106954693703998688337177346417900660070569563593679477027336131414457480530070121028
a(266) = 321751563830295549953193642354571063024658148278169054228086539222947078675123557200798214456399832722736854559943774086763824523521257062788723959032746480160932689948351421735477388882593501156674055
a(267) = 1882874355637618112871474318108721092161836519553867969200752443264562294139756524367295441873373752108313957689549336525172123878794160312799042403534475105638422248628078767102293028641558193553454882
a(268) = 11018718483055794628078045114484216648273313714199214813358405969395043470907591223642850113416882208162460694193032993672256338607266730383548702759466890848024759795101352148234741741562833383196375827
a(269) = 64483683830718109499166913012423996477546603921515664941738014599850188257204193173134455277602930673904819543966704482378747550667617058702321767336502619780339222425796674474636330501481292019123958251
a(270) = 377378827992965772822232023259793790418303332256353935751558253968694515533465835858288572956855352183897428892290223555982131604721440463521104886751732066734555673597967565567196693334071903147454517188
a(271) = 2208584886455920899467690900657342496741044387444239808931115760050247372427234912821098633550890997905441623100997597435292443370082315315260048175472174427017379108053311084975092825227365144978255608149
a(272) = 12925860615060945371366830424911233410145591326059797711344377350365408431175744949302611635402043068768629063963245426248204691329575278881836557274786857524938038184165162959126488907417433036448807133395
a(273) = 75650810361188753246502194026676057821927657852290442951134674416352688256019798789250838142475485748522201133618713119367169236119343869113580627093541019454253105902092473246498815096742040477821083411959
a(274) = 442768157645193204567028443403643168200153572454685523459684215442783376921795571255627317383187255534716251872229219143366692353750271590595003124410033023991376665204864609859938036556561694448027787780561
a(275) = 2591479591788912935372502668313782759695120834654663115616495911274501239126369550412566181680144147174936506787044007181061754311598771639613810152741809807119512152818560816542339243884834526608588059201149
a(276) = 15167980450217595254843444687650159791071521889422329070665141101810208471899952858123965351063129649244273471409196462700833093618474635977279760972933988177673732933653241418151324339711909511935389140598796
a(277) = 88780220682109096257078653199469326694502122741850331594244213294510772756609044523164716119487207816615891726718514855175729136282451079228863613274370865195849735633271000245572335186755812747291348972824450
a(278) = 519652608935986104494127997741249284752732851184305639596268104904806528829668070451688001640840744461964246305743133714577015835834845380957860180369231312845422009049756167088248595661511873208864163374139322
a(279) = 3041713990176744176916677663907735119212439971505367324128512134946843935504583553743146083441530333214849630148895900487712328290433465438209881653057737839222871878623100462895893894508263506342302528886394404
a(280) = 17804588894799424961127499576780456388013264299938477577767666066287189038617462070809182021887243049469987872654122210430983944214738220696473691964870451215741582918974299463553363917686772368380587326636019078
a(281) = 104220650157774570769274976218859343502277972826676109362143948113850238097031113800002368528357165632013954411133653442526690234186801012605137829673501393666017662022054054160935996244973952181622081109131163354
a(282) = 610075802864334499030623619723040463841370232014230764968813880937274002615831169741723821767445991864057958975769553547210074444519677783498628900524819625367502349340883823666578420732437310090522429332243482642
a(283) = 3571264022350783058598152767495832404523887577561666962652339107533145408581317420729343754246383780668617227320518872252642269548654389508699715969160799708428365286850984703435161683519489242690776027120326613567
a(284) = 20905867636816883446334679304887470147500814435914934527354263015073631554076356282481829108301525392398271893765814050180372414248611056426203337835405064845972720396331665731739270043693841476751841542380735754175
a(285) = 122383383765561265999564914595187502967769591869588417322290415554805833254212374205833002140571021086057449359320832602651741571222187596748140210141062227329715841270003637044292000084479662504773221696846488223070
a(286) = 716448015143382786672796385208683982952005382630375662224311777814905864564984220792675431356866901739674079427964482138471820880071608269014598359329652706886715818856983113637415074050933440545558954744440362526718
a(287) = 4194254914764517902433771595734199766666486940573547291201903589191439557374503158570757608984908294403832516458514792319033625351040088453314284243338677605234709850626876658653623574415374869440215949881903057603212
a(288) = 24554597340294765107377367762586484863173118248294880968417083834004861273945955943650970134109337838911498063860388296108262116592108687451973055009099673873361241639657810188009777890219545324495986567761673150111200
a(289) = 143753561591250501408933376308118770512268414570163498744396721170769793272904801194015334611818884593568387039588301460097277035872303347193472230873388456959089977283911847688945663858942571871334135464739694763965747
a{\left(n + 290 \right)} = \frac{1656815616 n \left(n + 1\right) \left(n + 2\right) \left(n + 3\right) \left(n + 4\right) a{\left(n \right)}}{5779493396375 \left(n + 288\right) \left(n + 289\right) \left(n + 290\right) \left(n + 291\right) \left(n + 293\right)} - \frac{98304 \left(n + 1\right) \left(n + 2\right) \left(n + 3\right) \left(n + 4\right) \left(1283678 n + 6530715\right) a{\left(n + 1 \right)}}{5779493396375 \left(n + 288\right) \left(n + 289\right) \left(n + 290\right) \left(n + 291\right) \left(n + 293\right)} + \frac{12288 \left(n + 2\right) \left(n + 3\right) \left(n + 4\right) \left(382392113 n^{2} + 4267788273 n + 11773860420\right) a{\left(n + 2 \right)}}{5779493396375 \left(n + 288\right) \left(n + 289\right) \left(n + 290\right) \left(n + 291\right) \left(n + 293\right)} - \frac{2048 \left(n + 3\right) \left(n + 4\right) \left(55473308372 n^{3} + 1010612023971 n^{2} + 6064699448269 n + 11992550253810\right) a{\left(n + 3 \right)}}{5779493396375 \left(n + 288\right) \left(n + 289\right) \left(n + 290\right) \left(n + 291\right) \left(n + 293\right)} + \frac{512 \left(n + 4\right) \left(3901487351843 n^{4} + 102446109838568 n^{3} + 996586889915533 n^{2} + 4257818269262548 n + 6741755231271540\right) a{\left(n + 4 \right)}}{5779493396375 \left(n + 288\right) \left(n + 289\right) \left(n + 290\right) \left(n + 291\right) \left(n + 293\right)} + \frac{\left(636408532703 n^{2} + 368542285800184 n + 53351613813406161\right) a{\left(n + 289 \right)}}{3492141025 \left(n + 291\right) \left(n + 293\right)} - \frac{\left(19090992899794823 n^{3} + 16498034565411380398 n^{2} + 4752291417096995800473 n + 456290248117143284979498\right) a{\left(n + 288 \right)}}{1155898679275 \left(n + 290\right) \left(n + 291\right) \left(n + 293\right)} + \frac{2 \left(573963258532661715 n^{4} + 659050114326292107815 n^{3} + 283777746746924051313807 n^{2} + 54306276087552913852971661 n + 3897151727804713922729581554\right) a{\left(n + 287 \right)}}{1155898679275 \left(n + 289\right) \left(n + 290\right) \left(n + 291\right) \left(n + 293\right)} - \frac{256 \left(21165957185744 n^{5} + 746760718490487 n^{4} + 10410037904808806 n^{3} + 71688067671773493 n^{2} + 243888940568895230 n + 327915915587293728\right) a{\left(n + 5 \right)}}{1155898679275 \left(n + 288\right) \left(n + 289\right) \left(n + 290\right) \left(n + 291\right) \left(n + 293\right)} + \frac{128 \left(2289387702185732 n^{5} + 92233692762492725 n^{4} + 1471291432865303695 n^{3} + 11621202652872503620 n^{2} + 45464422593092290188 n + 70489602020902991760\right) a{\left(n + 6 \right)}}{5779493396375 \left(n + 288\right) \left(n + 289\right) \left(n + 290\right) \left(n + 291\right) \left(n + 293\right)} - \frac{64 \left(40184551496258657 n^{5} + 1819499197868578730 n^{4} + 32656709449061046535 n^{3} + 290618976878396441305 n^{2} + 1282967898623250508053 n + 2248460905690198075080\right) a{\left(n + 7 \right)}}{5779493396375 \left(n + 288\right) \left(n + 289\right) \left(n + 290\right) \left(n + 291\right) \left(n + 293\right)} + \frac{32 \left(574016206801003383 n^{5} + 28848485599307207540 n^{4} + 574887610795584664335 n^{3} + 5683607603300442812665 n^{2} + 27896577779848400783067 n + 54410155536391688146200\right) a{\left(n + 8 \right)}}{5779493396375 \left(n + 288\right) \left(n + 289\right) \left(n + 290\right) \left(n + 291\right) \left(n + 293\right)} - \frac{16 \left(6558170495177825499 n^{5} + 362185551749017598830 n^{4} + 7925827994224634544590 n^{3} + 86023485310124636541875 n^{2} + 463541120301558863598736 n + 992850225424903419233760\right) a{\left(n + 9 \right)}}{5779493396375 \left(n + 288\right) \left(n + 289\right) \left(n + 290\right) \left(n + 291\right) \left(n + 293\right)} + \frac{24 \left(18683379829672924876 n^{5} + 1124318963727586016025 n^{4} + 26736892832884194544020 n^{3} + 314738107566078059323665 n^{2} + 1836927046414154824209114 n + 4257498538712848409481280\right) a{\left(n + 10 \right)}}{5779493396375 \left(n + 288\right) \left(n + 289\right) \left(n + 290\right) \left(n + 291\right) \left(n + 293\right)} - \frac{24 \left(43719787518070551559 n^{5} + 2838164721412446579120 n^{4} + 71846393800518390527515 n^{3} + 890498758304074403011750 n^{2} + 5419399891493430589114296 n + 12978103536460551792899240\right) a{\left(n + 11 \right)}}{5779493396375 \left(n + 288\right) \left(n + 289\right) \left(n + 290\right) \left(n + 291\right) \left(n + 293\right)} - \frac{\left(51550673670761827865 n^{5} + 73784071240662069129863 n^{4} + 42242274545368294094723489 n^{3} + 12092007413119828281241100977 n^{2} + 1730676719181558124608649779398 n + 99080896948004350211691226486152\right) a{\left(n + 286 \right)}}{1155898679275 \left(n + 288\right) \left(n + 289\right) \left(n + 290\right) \left(n + 291\right) \left(n + 293\right)} - \frac{4 \left(174152032701076165124 n^{5} + 12491368252639652835435 n^{4} + 368767186904301394943138 n^{3} + 5531497006329030397993161 n^{2} + 41753270028284687327753510 n + 126047673730509122489197944\right) a{\left(n + 12 \right)}}{1155898679275 \left(n + 288\right) \left(n + 289\right) \left(n + 290\right) \left(n + 291\right) \left(n + 293\right)} + \frac{\left(1845274828210175394117 n^{5} + 2631954108409738911841361 n^{4} + 1501592148639865768930476617 n^{3} + 428343426642504125000429454823 n^{2} + 61094015813071734253269377168242 n + 3485472672604135432949104358721912\right) a{\left(n + 285 \right)}}{1155898679275 \left(n + 288\right) \left(n + 289\right) \left(n + 290\right) \left(n + 291\right) \left(n + 293\right)} + \frac{4 \left(15563226008836895856404 n^{5} + 1190491211658715830171885 n^{4} + 36605414856991169684199190 n^{3} + 564055811871351857762718735 n^{2} + 4346890555522067768122512306 n + 13383181683364644409320737160\right) a{\left(n + 13 \right)}}{5779493396375 \left(n + 288\right) \left(n + 289\right) \left(n + 290\right) \left(n + 291\right) \left(n + 293\right)} - \frac{4 \left(24052446749142200591964 n^{5} + 1977617035793620775221433 n^{4} + 65065668177989015668893110 n^{3} + 1069425849918530174585820103 n^{2} + 8772872745739456412823287254 n + 28716878749688656274238762864\right) a{\left(n + 14 \right)}}{1155898679275 \left(n + 288\right) \left(n + 289\right) \left(n + 290\right) \left(n + 291\right) \left(n + 293\right)} - \frac{4 \left(68586558024310619701037 n^{5} + 97484164833180343240956285 n^{4} + 55422428830739005980921052125 n^{3} + 15754457971486088635235656029585 n^{2} + 2239173869500996981798229692805998 n + 127300058403813947825281780536210090\right) a{\left(n + 284 \right)}}{5779493396375 \left(n + 288\right) \left(n + 289\right) \left(n + 290\right) \left(n + 291\right) \left(n + 293\right)} + \frac{4 \left(141376671294692070618802 n^{5} + 12512295856400070685328291 n^{4} + 441948446471496665176730670 n^{3} + 7782686654800778266730050639 n^{2} + 68303907788433041531250020474 n + 238953799728715853332803880680\right) a{\left(n + 15 \right)}}{1155898679275 \left(n + 288\right) \left(n + 289\right) \left(n + 290\right) \left(n + 291\right) \left(n + 293\right)} + \frac{\left(6972567523439913808040507 n^{5} + 9875393210374856202182452755 n^{4} + 5594643887816896439908426180875 n^{3} + 1584735919410271761190294479505125 n^{2} + 224443878968230364928606846169899178 n + 12714961063208210825719306059007609080\right) a{\left(n + 283 \right)}}{5779493396375 \left(n + 288\right) \left(n + 289\right) \left(n + 290\right) \left(n + 291\right) \left(n + 293\right)} - \frac{2 \left(7049520834738172148250862 n^{5} + 672091248422050165643256295 n^{4} + 25510358867465471135564938240 n^{3} + 481838072406118716029445379625 n^{2} + 4528973234736706618949243850178 n + 16949296117897280736888911719440\right) a{\left(n + 16 \right)}}{5779493396375 \left(n + 288\right) \left(n + 289\right) \left(n + 290\right) \left(n + 291\right) \left(n + 293\right)} + \frac{2 \left(30484227137374733505526537 n^{5} + 3130139862909259596038420425 n^{4} + 127616968757301925329129378785 n^{3} + 2583624709878766973277184408955 n^{2} + 25985703485955292079104564501578 n + 103922765434082280473837273003040\right) a{\left(n + 17 \right)}}{5779493396375 \left(n + 288\right) \left(n + 289\right) \left(n + 290\right) \left(n + 291\right) \left(n + 293\right)} - \frac{2 \left(77324106136800250791400549 n^{5} + 109126989942897538167596426455 n^{4} + 61603555175479635017492934314335 n^{3} + 17387843751161258228446482712123745 n^{2} + 2453872771031288377860642359110868656 n + 138520709895762568205473361956888425060\right) a{\left(n + 282 \right)}}{5779493396375 \left(n + 288\right) \left(n + 289\right) \left(n + 290\right) \left(n + 291\right) \left(n + 293\right)} - \frac{2 \left(108198461588494870957046983 n^{5} + 11986979676243929336829119385 n^{4} + 525388776260763355674475090235 n^{3} + 11402423002161183760643734782195 n^{2} + 122665946434835638808355478354962 n + 523774416637491437775332853781920\right) a{\left(n + 18 \right)}}{5779493396375 \left(n + 288\right) \left(n + 289\right) \left(n + 290\right) \left(n + 291\right) \left(n + 293\right)} + \frac{2 \left(237073736322126474488416649 n^{5} + 29215344103483135466293822305 n^{4} + 1407694392369102707464137593905 n^{3} + 33300766612121897211375140339595 n^{2} + 388024034228953143089488854283746 n + 1785910118463757006359106935671400\right) a{\left(n + 19 \right)}}{5779493396375 \left(n + 288\right) \left(n + 289\right) \left(n + 290\right) \left(n + 291\right) \left(n + 293\right)} + \frac{2 \left(511722463195421806937622924 n^{5} + 47939740308166038855538880415 n^{4} + 1734347521273476059410731603470 n^{3} + 29848733235838522541911500344265 n^{2} + 237354865713192108803090769191326 n + 649498788164527808516369735811240\right) a{\left(n + 20 \right)}}{5779493396375 \left(n + 288\right) \left(n + 289\right) \left(n + 290\right) \left(n + 291\right) \left(n + 293\right)} + \frac{3 \left(1013602289141176767339963821 n^{5} + 1425377529247359587522977425980 n^{4} + 801767586440935225419080487855995 n^{3} + 225493155236365500271933449035396580 n^{2} + 31709144252507005963830193626052069584 n + 1783577411728289803557139921265308328120\right) a{\left(n + 281 \right)}}{5779493396375 \left(n + 288\right) \left(n + 289\right) \left(n + 290\right) \left(n + 291\right) \left(n + 293\right)} - \frac{\left(19805701860368918689327108763 n^{5} + 2336448613096914421156842677770 n^{4} + 110074975810337648799032838076605 n^{3} + 2589096658997943576482904514140710 n^{2} + 30406481650455690348695495630278312 n + 142642163373439750569353300922184320\right) a{\left(n + 21 \right)}}{5779493396375 \left(n + 288\right) \left(n + 289\right) \left(n + 290\right) \left(n + 291\right) \left(n + 293\right)} - \frac{\left(53656759763603979375849951736 n^{5} + 75183401023335561544686006374035 n^{4} + 42138169378967919114587903227766350 n^{3} + 11808522284838100373085952721177801885 n^{2} + 1654556652468892708990392012314488033114 n + 92730782495018616672189128350424071300320\right) a{\left(n + 280 \right)}}{5779493396375 \left(n + 288\right) \left(n + 289\right) \left(n + 290\right) \left(n + 291\right) \left(n + 293\right)} + \frac{\left(139599355084996816362738378753 n^{5} + 17540504589644904743391957107545 n^{4} + 879589483917696853370958632269885 n^{3} + 22003301053774021291762797661115375 n^{2} + 274570020704378937322637573995488362 n + 1367285693214008235981554913931479120\right) a{\left(n + 22 \right)}}{5779493396375 \left(n + 288\right) \left(n + 289\right) \left(n + 290\right) \left(n + 291\right) \left(n + 293\right)} + \frac{4 \left(214474003765841291320749329988 n^{5} + 299432116267440037039365103915895 n^{4} + 167216128978973762662514735982630935 n^{3} + 46690017457890565160172430719174222430 n^{2} + 6518324840399755008345026597188477253092 n + 364002234519298109189796672589460437372920\right) a{\left(n + 279 \right)}}{5779493396375 \left(n + 288\right) \left(n + 289\right) \left(n + 290\right) \left(n + 291\right) \left(n + 293\right)} - \frac{2 \left(340755380460085625257296263347 n^{5} + 44875920452069317628744478439660 n^{4} + 2358741545366627073485900202665675 n^{3} + 61840441502001411372421618167746030 n^{2} + 808606659803710809359068356029124468 n + 4218261782073455575813746733604550000\right) a{\left(n + 23 \right)}}{5779493396375 \left(n + 288\right) \left(n + 289\right) \left(n + 290\right) \left(n + 291\right) \left(n + 293\right)} + \frac{\left(477898747513564235323647233885 n^{5} + 65595190488424854721972003163836 n^{4} + 3595394854301821206132379981780363 n^{3} + 98329399387576643879347384921992044 n^{2} + 1341387793757066390130364656901310712 n + 7300725977024176819242859743076835976\right) a{\left(n + 24 \right)}}{1155898679275 \left(n + 288\right) \left(n + 289\right) \left(n + 290\right) \left(n + 291\right) \left(n + 293\right)} - \frac{\left(952131224860039615194914667314 n^{5} + 136103995525527176286035731776937 n^{4} + 7783322367895533880254564199144472 n^{3} + 222315767004302456738764257770148863 n^{2} + 3168972642719886489419945449103905622 n + 18023896430277192365154185619744959088\right) a{\left(n + 25 \right)}}{1155898679275 \left(n + 288\right) \left(n + 289\right) \left(n + 290\right) \left(n + 291\right) \left(n + 293\right)} - \frac{2 \left(3886894362870153727955518908729 n^{5} + 561795082277494180825026708888635 n^{4} + 32165810304194488799813746194426955 n^{3} + 914243890326363520431600763349648815 n^{2} + 12924844700087287564685885153579760806 n + 72818132844899853057034991212889142240\right) a{\left(n + 26 \right)}}{5779493396375 \left(n + 288\right) \left(n + 289\right) \left(n + 290\right) \left(n + 291\right) \left(n + 293\right)} - \frac{\left(12524606616225210423086606238742 n^{5} + 17422318741238685904879181706579525 n^{4} + 9694016607816992006934594353497338340 n^{3} + 2696916669357686117656812157252807100535 n^{2} + 375143362183404109877797059870006273121138 n + 20872908518700181944685841977280104378694520\right) a{\left(n + 278 \right)}}{5779493396375 \left(n + 288\right) \left(n + 289\right) \left(n + 290\right) \left(n + 291\right) \left(n + 293\right)} + \frac{\left(25335518471977687210717693401323 n^{5} + 3830857468833259428571310433889862 n^{4} + 230909691142378243711807574849585797 n^{3} + 6939080646293551762671244190580189070 n^{2} + 104003370410940288563510791445541173964 n + 622158486268574149802417592835240948824\right) a{\left(n + 27 \right)}}{1155898679275 \left(n + 288\right) \left(n + 289\right) \left(n + 290\right) \left(n + 291\right) \left(n + 293\right)} + \frac{\left(168002842251590617932197953529834 n^{5} + 232846405644117140112912639074843315 n^{4} + 129085736884528993490641090988007133420 n^{3} + 35781027579520495388075318894374849179385 n^{2} + 4958989586333110711643352778684569859674126 n + 274909288971430280790169858786632994434073680\right) a{\left(n + 277 \right)}}{5779493396375 \left(n + 288\right) \left(n + 289\right) \left(n + 290\right) \left(n + 291\right) \left(n + 293\right)} - \frac{\left(191219992484803040065332878062966 n^{5} + 49966146386833883683718451000886141 n^{4} + 4516345216804558463545768190258293460 n^{3} + 189673431946927865420280644925679928303 n^{2} + 3811697077789237111738162392889962893898 n + 29763095125518383695642202684102913032352\right) a{\left(n + 31 \right)}}{1155898679275 \left(n + 288\right) \left(n + 289\right) \left(n + 290\right) \left(n + 291\right) \left(n + 293\right)} - \frac{3 \left(229197714744230290223009056829773 n^{5} + 35757621753513372875931507719992160 n^{4} + 2226269671243195023698733715700976475 n^{3} + 69155315765876916038444518314025153600 n^{2} + 1071944623955407813191769949794867975392 n + 6633687181436748461743273036673538165200\right) a{\left(n + 28 \right)}}{5779493396375 \left(n + 288\right) \left(n + 289\right) \left(n + 290\right) \left(n + 291\right) \left(n + 293\right)} + \frac{\left(485312698194362928752282537425225 n^{5} + 77770864854471595060336794358820474 n^{4} + 4977278201871638181868995297501186787 n^{3} + 159019419475723503246111537375502600210 n^{2} + 2536206418543549065332226782492121446896 n + 16153932571034478139512486453188146950528\right) a{\left(n + 29 \right)}}{1155898679275 \left(n + 288\right) \left(n + 289\right) \left(n + 290\right) \left(n + 291\right) \left(n + 293\right)} - 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\frac{3 \left(231129256851231162101350574194618546883251537684044489321521380959 n^{5} + 182993320974760568384839598693181318301744254445175518648420830301090 n^{4} + 57930878973481198861823559892752360633412763693433909663667973562773925 n^{3} + 9166125028333119779743540323048764828565346002879496469152277758082083950 n^{2} + 724866741193546473316442569347084196079059438766590000335502711257718204956 n + 22919914469670651307184366870185689314039195641504846882464442889151091176280\right) a{\left(n + 159 \right)}}{5779493396375 \left(n + 288\right) \left(n + 289\right) \left(n + 290\right) \left(n + 291\right) \left(n + 293\right)} - \frac{\left(259388355842633308923761003370221234567022769870134133460429336729 n^{5} + 201304701646608969595718602952048306141513373185780614797975890347605 n^{4} + 62483286199630298022774648173940276866164564046066444309965021214004665 n^{3} + 9695906524951079975742404918605514312415128547204888017112486368611897155 n^{2} + 752186842396875790800250810007572904385236775950041518510039990746343063806 n + 23338017894678438808141313840847052246816713169463088509605473733068441704400\right) a{\left(n + 153 \right)}}{5779493396375 \left(n + 288\right) \left(n + 289\right) \left(n + 290\right) \left(n + 291\right) \left(n + 293\right)} - \frac{2 \left(289404231186149742627637746650261568523528824473573573329801400193 n^{5} + 226257783800278218659183381541222757082842528697243539278663531158305 n^{4} + 70738912484861044555798294090071897137159037441368198155523798743034475 n^{3} + 11055481584914063067532437878766541068609777627023555703327022900252166915 n^{2} + 863693243381529159667604982798839409629524448007142579154008241493566728692 n + 26983108004614510167894379616567639254926011464910198271518825787142110132360\right) a{\left(n + 156 \right)}}{5779493396375 \left(n + 288\right) \left(n + 289\right) \left(n + 290\right) \left(n + 291\right) \left(n + 293\right)} + \frac{\left(295149873871621368525746170769824968118658135682181360153366882919 n^{5} + 263424520108360222952272246795144038547789797510082201105706981284310 n^{4} + 94011336196942563808757059007106299150350942027323552332113123225459885 n^{3} + 16769913311403293767231102601625646847787177237304120941542321585686311730 n^{2} + 1495250024253180357479322548827688159658360154659271490212361234537986121196 n + 53311978961291263951777310173950712015568629382121149439953506378253149044120\right) a{\left(n + 176 \right)}}{5779493396375 \left(n + 288\right) \left(n + 289\right) \left(n + 290\right) \left(n + 291\right) \left(n + 293\right)} + \frac{\left(307526958628289367737415204003053100434994814596361218784271216522 n^{5} + 253991982792226095083692755260847907971015813452425737833176992215375 n^{4} + 83854733075033807330530534535459515386814518612039301447525044907472480 n^{3} + 13832791749318415523605154294800712978820961357870711059924168900828260305 n^{2} + 1140144884007683958652872514673647724471572819553324480250450150585060807638 n + 37563040608402953300692691815087739362670427899328031645932777808921581010080\right) a{\left(n + 166 \right)}}{5779493396375 \left(n + 288\right) \left(n + 289\right) \left(n + 290\right) \left(n + 291\right) \left(n + 293\right)} + \frac{\left(336426759068374115897007310477322717344312679808013697643035569538 n^{5} + 268473075256989877171729911300189228026375897685121154223854972666315 n^{4} + 85683511848841030431706674174590389254351537626118943328010545280640760 n^{3} + 13670651092182091562622612410873876815547849045422432270306856338947362485 n^{2} + 1090374488017620968460866426367987235223486476744808484100514313354831106862 n + 34781302449869344525066108620609917353556114144876697975872023388037632713080\right) a{\left(n + 157 \right)}}{5779493396375 \left(n + 288\right) \left(n + 289\right) \left(n + 290\right) \left(n + 291\right) \left(n + 293\right)} - \frac{\left(373652780536021001908280747760634224459582225011602534118017641271 n^{5} + 332190347568002845630148301748264865661999509600646976191451962949265 n^{4} + 118089187227423768085513303026712209298080655441474075676643288907759935 n^{3} + 20982242486220917644646070897772149252756975181175906871205889599772558095 n^{2} + 1863444157051428078210051434763471007153141691063578096055935025540826611114 n + 66175528401138941600962033852745950069698156793540458734569222950157195848720\right) a{\left(n + 175 \right)}}{5779493396375 \left(n + 288\right) \left(n + 289\right) \left(n + 290\right) \left(n + 291\right) \left(n + 293\right)} - \frac{\left(385151809441907921213107849773925549589065510708379997239771062631 n^{5} + 327730633695074558487580912366062245094981559090221963240132620590940 n^{4} + 111545465012999184272549022082791215935996963548498599863544608780657785 n^{3} + 18982270378525431952392716638009909129884318443882999434488097300319057440 n^{2} + 1615129246627901832448728164075821031732357798835918745171232779447098249604 n + 54969374419273780936880827982239656654195713876788589440829134059781864690320\right) a{\left(n + 169 \right)}}{5779493396375 \left(n + 288\right) \left(n + 289\right) \left(n + 290\right) \left(n + 291\right) \left(n + 293\right)} - \frac{\left(402773645319496544781839691097855369615887570115089532741977205794 n^{5} + 328965396943628743875478813683451376727162732160024342334277284444535 n^{4} + 107462659215967353128351359598131998467259865999645229187389105706484660 n^{3} + 17550596089552448557338284272245313347502241364959560188332983533468165825 n^{2} + 1433018646322372566702516880367088970402604331564437379447226974027186515666 n + 46797890710281600413149940714977972048170699097664855445877874888572470712560\right) a{\left(n + 161 \right)}}{5779493396375 \left(n + 288\right) \left(n + 289\right) \left(n + 290\right) \left(n + 291\right) \left(n + 293\right)} + \frac{\left(433941526501140778778839844544577922364007750827812639206346625497 n^{5} + 361654634780602796483654320691450104069482800812174118671136103766290 n^{4} + 120563822597945477848430048707166017928761103647286511062046543034857735 n^{3} + 20095985345263931682385847988525405433146927040586408891910098769442414170 n^{2} + 1674827519276764868920237517565342715234926881156082974199096822274567926268 n + 55832685534399687458809840534751022883250970942314822409659897400687191555160\right) a{\left(n + 165 \right)}}{5779493396375 \left(n + 288\right) \left(n + 289\right) \left(n + 290\right) \left(n + 291\right) \left(n + 293\right)} - \frac{\left(605573751693964382480706674836734147372091261119793659112629145739 n^{5} + 525265884216030600715444233778184478466830104781589641889191728679675 n^{4} + 182197232159966204370110683397827662679687267900948015972077557974598875 n^{3} + 31591329495756918616932822903314745203088777592038918559093978778355418365 n^{2} + 2738171069073151734262874783689719840361338663201084755645134309820020525986 n + 94910155338122888007057704883909473480043044462698140336545055413078829129840\right) a{\left(n + 172 \right)}}{5779493396375 \left(n + 288\right) \left(n + 289\right) \left(n + 290\right) \left(n + 291\right) \left(n + 293\right)} + \frac{\left(636130597002685642559554225494472737882891867269556099163108860952 n^{5} + 548529923928306611419312687997756633350374350957828079235350919709305 n^{4} + 189138939601919041485586468048926207766642364460917767999818846076086170 n^{3} + 32598724964750086091729074621622541229994156801688350112291165843826608815 n^{2} + 2808417206840993242502210457085931133875454789323595438279225739850442511638 n + 96751154346611513533444058863694723279020391439977665683694992772881013434120\right) a{\left(n + 171 \right)}}{5779493396375 \left(n + 288\right) \left(n + 289\right) \left(n + 290\right) \left(n + 291\right) \left(n + 293\right)} + \frac{\left(804311032483390509843110244357011920444540943997581210529082681823 n^{5} + 645427138010907435715047489236352402280487429703059515734533946037740 n^{4} + 207131444333788678390345476899776083418420215614795252422629724152779645 n^{3} + 33229939918982204612018763162668072735877779593749604749143457748567279560 n^{2} + 2664997581102370285165032858524649337225057718344124843923164968936469275192 n + 85474542444337425094195562670105671747819079668910628936565094396754731329040\right) a{\left(n + 160 \right)}}{5779493396375 \left(n + 288\right) \left(n + 289\right) \left(n + 290\right) \left(n + 291\right) \left(n + 293\right)} + \frac{\left(863404269888672445640057854989709781131584401188496478257128122796 n^{5} + 703053464317931789750339889142499816094338277548007398608767293061055 n^{4} + 228925309533031824625573602348332998170501592072607419662891551944992050 n^{3} + 37259685639291159264383133601579486286509434738927691681867881827359422005 n^{2} + 3031258513780251498269079869283236038028229955413789987794471772286731867654 n + 98612856738408325241122633927125549011471735125086986627470195622647719553560\right) a{\left(n + 163 \right)}}{5779493396375 \left(n + 288\right) \left(n + 289\right) \left(n + 290\right) \left(n + 291\right) \left(n + 293\right)} - \frac{\left(926022805294516616859745336377953355310741142011981698714191972763 n^{5} + 762191346149900905380348046801355718571526531540803566945560731779715 n^{4} + 250895934394203060348127014769959260374068447418322363089109605820591315 n^{3} + 41287680362849753685116351140495262764170920223147825843166929317303741105 n^{2} + 3396600870776379992057735906462322832153098021500463504591687710752712637862 n + 111752075572370593981974823673945438383561915372263438682353096895895389566360\right) a{\left(n + 164 \right)}}{5779493396375 \left(n + 288\right) \left(n + 289\right) \left(n + 290\right) \left(n + 291\right) \left(n + 293\right)}, \quad n \geq 290
Specification 1
Strategy pack name: point_and_col_placements_req_corrob
Tree: http://permpal.com/tree/24790/
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[1,x]+F[357,x]+F[5,x]
F[5,x] = F[11,x]*F[6,x]
F[6,x] = F[4,x]+F[7,x]
F[7,x] = F[327,x]+F[8,x]
F[8,x] = F[10,x]+F[12,x]+F[9,x]
F[9,x] = 0
F[10,x] = F[11,x]*F[7,x]
F[11,x] = x
F[12,x] = F[13,x]
F[13,x] = F[11,x]*F[14,x]
F[14,x] = F[15,x]+F[4,x]
F[15,x] = F[16,x]
F[16,x] = F[11,x]*F[17,x]
F[17,x] = F[18,x]+F[21,x]+F[25,x]
F[18,x] = F[1,x]+F[12,x]+F[19,x]
F[19,x] = F[20,x]
F[20,x] = F[0,x]*F[11,x]*F[4,x]
F[21,x] = F[11,x]*F[22,x]
F[22,x] = F[17,x]+F[23,x]
F[23,x] = F[24,x]
F[24,x] = F[0,x]^2*F[7,x]
F[25,x] = F[26,x]
F[26,x] = F[0,x]^2*F[11,x]*F[27,x]
F[27,x] = F[28,x]+F[4,x]
F[28,x] = F[29,x]
F[29,x] = F[11,x]*F[30,x]
F[30,x] = F[31,x]+F[325,x]+F[83,x]
F[31,x] = F[32,x]+F[74,x]
F[32,x] = F[33,x]+F[39,x]
F[33,x] = F[1,x]+F[34,x]+F[38,x]
F[34,x] = F[11,x]*F[35,x]
F[35,x] = 1/F[11,x]*F[36,x]
F[36,x] = -F[1,x]-F[37,x]+F[4,x]
F[37,x] = F[11,x]*F[32,x]
F[38,x] = F[11,x]*F[32,x]
F[39,x] = F[40,x]+F[68,x]+F[73,x]+F[9,x]
F[40,x] = F[11,x]*F[41,x]
F[41,x] = F[42,x]
F[42,x] = F[11,x]*F[43,x]
F[43,x] = F[35,x]+F[44,x]
F[44,x] = F[45,x]
F[45,x] = F[11,x]*F[33,x]*F[46,x]
F[46,x] = F[47,x]+F[50,x]+F[66,x]
F[47,x] = F[1,x]+F[48,x]
F[48,x] = F[49,x]
F[49,x] = F[11,x]*F[47,x]
F[50,x] = F[51,x]
F[51,x] = F[11,x]*F[52,x]
F[52,x] = 1/F[11,x]*F[53,x]
F[53,x] = F[54,x]
F[54,x] = F[11,x]*F[55,x]
F[55,x] = F[56,x]+F[59,x]
F[56,x] = F[57,x]+F[6,x]
F[57,x] = F[58,x]
F[58,x] = F[0,x]*F[11,x]*F[56,x]
F[59,x] = F[60,x]
F[60,x] = F[11,x]*F[61,x]*F[64,x]
F[61,x] = F[0,x]+F[62,x]
F[62,x] = F[63,x]
F[63,x] = F[0,x]*F[11,x]*F[61,x]
F[64,x] = F[28,x]+F[65,x]
F[65,x] = F[4,x]*F[47,x]
F[66,x] = F[67,x]
F[67,x] = F[11,x]*F[64,x]
F[68,x] = F[11,x]*F[69,x]
F[69,x] = 2*F[9,x]+F[70,x]+F[71,x]+F[72,x]
F[70,x] = F[40,x]
F[71,x] = F[68,x]
F[72,x] = F[11,x]*F[32,x]
F[73,x] = F[11,x]*F[31,x]
F[74,x] = F[75,x]
F[75,x] = F[11,x]*F[47,x]*F[76,x]
F[76,x] = F[77,x]+F[81,x]
F[77,x] = F[33,x]+F[78,x]
F[78,x] = F[79,x]
F[79,x] = F[11,x]*F[80,x]
F[80,x] = F[39,x]+F[77,x]
F[81,x] = F[82,x]
F[82,x] = F[11,x]*F[43,x]*F[47,x]
F[83,x] = F[84,x]
F[84,x] = F[11,x]*F[85,x]
F[85,x] = F[308,x]+F[86,x]
F[86,x] = F[0,x]*F[87,x]
F[87,x] = F[107,x]+F[129,x]+F[306,x]+F[4,x]+F[88,x]
F[88,x] = F[11,x]*F[89,x]
F[89,x] = F[90,x]+F[94,x]
F[90,x] = F[91,x]+F[92,x]
F[91,x] = F[35,x]*F[4,x]
F[92,x] = F[93,x]
F[93,x] = F[0,x]*F[11,x]*F[4,x]*F[43,x]
F[94,x] = F[95,x]
F[95,x] = F[105,x]+F[41,x]+F[96,x]
F[96,x] = F[97,x]
F[97,x] = F[11,x]*F[98,x]
F[98,x] = F[103,x]+F[99,x]
F[99,x] = F[100,x]
F[100,x] = F[47,x]^2*F[101,x]
F[101,x] = F[102,x]
F[102,x] = F[11,x]*F[17,x]
F[103,x] = F[104,x]
F[104,x] = F[41,x]*F[6,x]
F[105,x] = F[106,x]
F[106,x] = F[11,x]*F[27,x]*F[41,x]
F[107,x] = F[108,x]*F[11,x]
F[108,x] = F[109,x]+F[118,x]
F[109,x] = F[110,x]+F[111,x]
F[110,x] = F[32,x]*F[4,x]
F[111,x] = 2*F[9,x]+F[112,x]+F[114,x]+F[116,x]
F[112,x] = F[113,x]
F[113,x] = F[11,x]*F[92,x]
F[114,x] = F[115,x]
F[115,x] = F[11,x]*F[111,x]
F[116,x] = F[117,x]
F[117,x] = F[0,x]*F[11,x]*F[32,x]*F[4,x]
F[118,x] = F[119,x]
F[119,x] = 2*F[9,x]+F[120,x]+F[122,x]+F[124,x]
F[120,x] = F[121,x]
F[121,x] = F[11,x]*F[95,x]
F[122,x] = F[123,x]
F[123,x] = F[11,x]*F[119,x]
F[124,x] = F[125,x]
F[125,x] = F[11,x]*F[126,x]
F[126,x] = F[110,x]+F[127,x]
F[127,x] = F[128,x]
F[128,x] = F[47,x]^2*F[15,x]
F[129,x] = F[130,x]
F[130,x] = F[11,x]*F[131,x]
F[131,x] = F[132,x]+F[254,x]
F[132,x] = F[133,x]+F[182,x]
F[133,x] = -F[180,x]+F[134,x]
F[134,x] = F[135,x]+F[136,x]
F[135,x] = F[31,x]*F[4,x]
F[136,x] = F[137,x]
F[137,x] = 1/F[11,x]*F[138,x]
F[138,x] = F[139,x]
F[139,x] = -F[112,x]-F[114,x]-F[175,x]-F[9,x]+F[140,x]
F[140,x] = F[141,x]
F[141,x] = F[0,x]*F[11,x]*F[142,x]
F[142,x] = 1/F[11,x]*F[143,x]
F[143,x] = F[144,x]
F[144,x] = -F[166,x]-F[167,x]+F[145,x]
F[145,x] = 1/F[11,x]*F[146,x]
F[146,x] = F[147,x]
F[147,x] = F[11,x]*F[148,x]
F[148,x] = 1/F[11,x]*F[149,x]
F[149,x] = F[150,x]
F[150,x] = -F[52,x]+F[151,x]
F[151,x] = F[152,x]+F[161,x]
F[152,x] = F[153,x]+F[159,x]
F[153,x] = F[154,x]+F[6,x]
F[154,x] = F[155,x]
F[155,x] = F[11,x]*F[156,x]
F[156,x] = F[157,x]+F[17,x]
F[157,x] = F[158,x]
F[158,x] = F[0,x]*F[11,x]*F[156,x]
F[159,x] = F[160,x]
F[160,x] = F[11,x]*F[56,x]*F[61,x]
F[161,x] = F[162,x]
F[162,x] = F[11,x]*F[163,x]*F[61,x]
F[163,x] = F[164,x]+F[64,x]
F[164,x] = F[165,x]
F[165,x] = F[0,x]*F[11,x]*F[163,x]
F[166,x] = F[47,x]*F[76,x]
F[167,x] = F[168,x]
F[168,x] = F[0,x]*F[11,x]*F[169,x]
F[169,x] = 1/F[11,x]*F[170,x]
F[170,x] = F[171,x]
F[171,x] = -F[166,x]+F[172,x]
F[172,x] = F[173,x]+F[174,x]
F[173,x] = F[0,x]*F[76,x]
F[174,x] = F[11,x]*F[145,x]
F[175,x] = F[176,x]
F[176,x] = F[0,x]*F[11,x]*F[177,x]
F[177,x] = F[178,x]+F[179,x]
F[178,x] = F[33,x]*F[4,x]
F[179,x] = F[15,x]*F[47,x]
F[180,x] = F[181,x]
F[181,x] = F[4,x]*F[74,x]
F[182,x] = F[183,x]
F[183,x] = F[11,x]*F[184,x]*F[47,x]
F[184,x] = F[185,x]+F[216,x]
F[185,x] = F[186,x]*F[47,x]
F[186,x] = -F[204,x]+F[187,x]
F[187,x] = 1/F[11,x]/F[47,x]*F[188,x]
F[188,x] = F[189,x]
F[189,x] = -F[178,x]-F[197,x]+F[190,x]
F[190,x] = 1/F[11,x]*F[191,x]
F[191,x] = F[192,x]
F[192,x] = -F[28,x]+F[193,x]
F[193,x] = 1/F[11,x]*F[194,x]
F[194,x] = F[195,x]
F[195,x] = F[10,x]+F[196,x]+F[9,x]
F[196,x] = F[11,x]*F[28,x]
F[197,x] = F[198,x]
F[198,x] = F[11,x]*F[199,x]*F[47,x]
F[199,x] = F[200,x]+F[202,x]+F[32,x]
F[200,x] = F[201,x]
F[201,x] = F[0,x]*F[11,x]*F[32,x]*F[4,x]
F[202,x] = F[203,x]
F[203,x] = F[11,x]*F[126,x]
F[204,x] = F[205,x]
F[205,x] = F[0,x]^2*F[206,x]
F[206,x] = -F[213,x]+F[207,x]
F[207,x] = F[208,x]+F[35,x]
F[208,x] = F[209,x]
F[209,x] = F[11,x]*F[210,x]*F[33,x]
F[210,x] = F[211,x]+F[4,x]
F[211,x] = F[212,x]
F[212,x] = F[0,x]*F[11,x]*F[210,x]
F[213,x] = F[214,x]+F[33,x]
F[214,x] = F[215,x]
F[215,x] = F[11,x]*F[33,x]*F[61,x]
F[216,x] = 1/F[11,x]*F[217,x]
F[217,x] = F[218,x]
F[218,x] = -F[240,x]+F[219,x]
F[219,x] = 2*F[9,x]+F[220,x]+F[221,x]
F[220,x] = F[11,x]*F[137,x]
F[221,x] = F[222,x]
F[222,x] = F[0,x]*F[11,x]*F[223,x]
F[223,x] = -F[237,x]+F[224,x]
F[224,x] = F[225,x]+F[226,x]+F[227,x]
F[225,x] = F[47,x]^2*F[4,x]
F[226,x] = F[11,x]*F[199,x]
F[227,x] = F[11,x]*F[228,x]
F[228,x] = F[229,x]+F[234,x]
F[229,x] = F[230,x]+F[232,x]+F[33,x]
F[230,x] = F[231,x]
F[231,x] = F[0,x]*F[11,x]*F[33,x]*F[4,x]
F[232,x] = F[233,x]
F[233,x] = F[11,x]*F[177,x]
F[234,x] = F[235,x]
F[235,x] = F[0,x]^2*F[236,x]
F[236,x] = -F[33,x]+F[35,x]
F[237,x] = F[226,x]+F[238,x]+F[9,x]
F[238,x] = F[239,x]
F[239,x] = F[0,x]^2*F[11,x]*F[236,x]
F[240,x] = 1/F[11,x]*F[241,x]
F[241,x] = F[242,x]
F[242,x] = -F[243,x]-F[250,x]-F[9,x]+F[219,x]
F[243,x] = F[244,x]
F[244,x] = F[11,x]*F[245,x]
F[245,x] = F[246,x]+F[247,x]+F[248,x]+F[9,x]
F[246,x] = F[11,x]*F[111,x]
F[247,x] = F[11,x]*F[92,x]
F[248,x] = F[249,x]
F[249,x] = F[0,x]*F[11,x]*F[4,x]*F[47,x]
F[250,x] = F[251,x]
F[251,x] = F[0,x]*F[11,x]*F[252,x]
F[252,x] = F[15,x]+F[253,x]
F[253,x] = F[0,x]*F[4,x]
F[254,x] = F[255,x]
F[255,x] = F[120,x]+F[122,x]+F[256,x]+F[296,x]+F[9,x]
F[256,x] = F[257,x]
F[257,x] = F[11,x]*F[258,x]
F[258,x] = -F[259,x]+F[255,x]
F[259,x] = F[260,x]
F[260,x] = -F[295,x]+F[261,x]
F[261,x] = 1/F[11,x]*F[262,x]
F[262,x] = F[263,x]
F[263,x] = -F[83,x]-F[9,x]+F[264,x]
F[264,x] = -F[275,x]+F[265,x]
F[265,x] = 1/F[11,x]*F[266,x]
F[266,x] = -F[2,x]-F[269,x]-F[272,x]+F[267,x]
F[267,x] = F[268,x]
F[268,x] = F[11,x]*F[87,x]
F[269,x] = F[11,x]*F[270,x]
F[270,x] = F[271,x]
F[271,x] = F[11,x]*F[89,x]
F[272,x] = F[11,x]*F[273,x]
F[273,x] = F[274,x]
F[274,x] = F[108,x]*F[11,x]
F[275,x] = F[2,x]+F[276,x]+F[280,x]+F[284,x]+F[290,x]
F[276,x] = F[11,x]*F[277,x]
F[277,x] = F[270,x]+F[278,x]
F[278,x] = F[279,x]
F[279,x] = F[2,x]*F[41,x]
F[280,x] = F[11,x]*F[281,x]
F[281,x] = F[273,x]+F[282,x]
F[282,x] = F[283,x]
F[283,x] = F[2,x]*F[69,x]
F[284,x] = F[11,x]*F[285,x]
F[285,x] = F[286,x]+F[287,x]
F[286,x] = F[2,x]*F[31,x]
F[287,x] = F[288,x]
F[288,x] = -F[289,x]+F[275,x]
F[289,x] = F[2,x]*F[32,x]
F[290,x] = F[11,x]*F[291,x]
F[291,x] = F[292,x]+F[293,x]
F[292,x] = F[2,x]*F[33,x]
F[293,x] = -F[294,x]+F[229,x]
F[294,x] = F[0,x]*F[33,x]
F[295,x] = -F[133,x]+F[132,x]
F[296,x] = F[297,x]
F[297,x] = F[11,x]*F[298,x]
F[298,x] = F[177,x]+F[299,x]
F[299,x] = F[11,x]*F[300,x]*F[47,x]
F[300,x] = -F[304,x]+F[301,x]
F[301,x] = F[228,x]+F[302,x]
F[302,x] = F[303,x]
F[303,x] = F[0,x]^2*F[2,x]*F[35,x]
F[304,x] = F[305,x]
F[305,x] = F[0,x]^3*F[236,x]
F[306,x] = F[307,x]
F[307,x] = F[11,x]*F[85,x]
F[308,x] = 1/F[11,x]*F[309,x]
F[309,x] = F[310,x]
F[310,x] = -F[322,x]-F[74,x]+F[311,x]
F[311,x] = F[312,x]
F[312,x] = F[11,x]*F[313,x]
F[313,x] = F[166,x]+F[314,x]+F[316,x]+F[318,x]
F[314,x] = F[315,x]
F[315,x] = F[0,x]^2*F[11,x]*F[169,x]
F[316,x] = F[317,x]
F[317,x] = F[0,x]*F[11,x]*F[142,x]
F[318,x] = F[319,x]
F[319,x] = F[11,x]*F[320,x]
F[320,x] = 1/F[11,x]*F[321,x]
F[321,x] = F[255,x]
F[322,x] = F[323,x]
F[323,x] = F[11,x]*F[324,x]
F[324,x] = F[140,x]+F[254,x]
F[325,x] = F[326,x]
F[326,x] = F[11,x]*F[131,x]
F[327,x] = F[328,x]
F[328,x] = F[11,x]*F[329,x]
F[329,x] = F[330,x]+F[332,x]
F[330,x] = F[2,x]*F[331,x]
F[331,x] = F[192,x]+F[27,x]
F[332,x] = F[333,x]+F[340,x]
F[333,x] = F[334,x]+F[339,x]+F[9,x]
F[334,x] = F[11,x]*F[335,x]*F[4,x]
F[335,x] = F[336,x]+F[337,x]+F[338,x]+F[9,x]
F[336,x] = F[11,x]*F[69,x]
F[337,x] = F[11,x]*F[41,x]
F[338,x] = F[11,x]*F[47,x]
F[339,x] = F[11,x]*F[331,x]
F[340,x] = F[11,x]*F[341,x]
F[341,x] = F[342,x]+F[346,x]
F[342,x] = F[343,x]+F[344,x]+F[9,x]
F[343,x] = F[11,x]*F[245,x]*F[4,x]
F[344,x] = F[345,x]
F[345,x] = F[0,x]*F[11,x]*F[331,x]*F[4,x]
F[346,x] = F[347,x]
F[347,x] = F[333,x]+F[348,x]+F[355,x]
F[348,x] = F[349,x]
F[349,x] = F[11,x]*F[350,x]
F[350,x] = F[351,x]+F[352,x]
F[351,x] = F[333,x]*F[6,x]
F[352,x] = F[353,x]
F[353,x] = F[101,x]*F[354,x]*F[47,x]
F[354,x] = F[47,x]+F[48,x]
F[355,x] = F[356,x]
F[356,x] = F[11,x]*F[27,x]*F[333,x]
F[357,x] = F[11,x]*F[27,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_{1}\! \left(x \right)+F_{357}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{11}\! \left(x \right) F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{4}\! \left(x \right)+F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{327}\! \left(x \right)+F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{10}\! \left(x \right)+F_{12}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = 0
F_{10}\! \left(x \right) = F_{11}\! \left(x \right) F_{7}\! \left(x \right)
F_{11}\! \left(x \right) = x
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)
F_{13}\! \left(x \right) = F_{11}\! \left(x \right) F_{14}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right)+F_{4}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = F_{11}\! \left(x \right) F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)+F_{21}\! \left(x \right)+F_{25}\! \left(x \right)
F_{18}\! \left(x \right) = F_{1}\! \left(x \right)+F_{12}\! \left(x \right)+F_{19}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{0}\! \left(x \right) F_{11}\! \left(x \right) F_{4}\! \left(x \right)
F_{21}\! \left(x \right) = F_{11}\! \left(x \right) F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{17}\! \left(x \right)+F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{0} \left(x \right)^{2} F_{7}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{0} \left(x \right)^{2} F_{11}\! \left(x \right) F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = F_{28}\! \left(x \right)+F_{4}\! \left(x \right)
F_{28}\! \left(x \right) = F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{11}\! \left(x \right) F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = F_{31}\! \left(x \right)+F_{325}\! \left(x \right)+F_{83}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)+F_{74}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)+F_{39}\! \left(x \right)
F_{33}\! \left(x \right) = F_{1}\! \left(x \right)+F_{34}\! \left(x \right)+F_{38}\! \left(x \right)
F_{34}\! \left(x \right) = F_{11}\! \left(x \right) F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = \frac{F_{36}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{36}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{37}\! \left(x \right)+F_{4}\! \left(x \right)
F_{37}\! \left(x \right) = F_{11}\! \left(x \right) F_{32}\! \left(x \right)
F_{38}\! \left(x \right) = F_{11}\! \left(x \right) F_{32}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)+F_{68}\! \left(x \right)+F_{73}\! \left(x \right)+F_{9}\! \left(x \right)
F_{40}\! \left(x \right) = F_{11}\! \left(x \right) F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{11}\! \left(x \right) F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{35}\! \left(x \right)+F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{11}\! \left(x \right) F_{33}\! \left(x \right) F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{47}\! \left(x \right)+F_{50}\! \left(x \right)+F_{66}\! \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_{11}\! \left(x \right) F_{47}\! \left(x \right)
F_{50}\! \left(x \right) = F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{11}\! \left(x \right) F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = \frac{F_{53}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{53}\! \left(x \right) = F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{11}\! \left(x \right) F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{56}\! \left(x \right)+F_{59}\! \left(x \right)
F_{56}\! \left(x \right) = F_{57}\! \left(x \right)+F_{6}\! \left(x \right)
F_{57}\! \left(x \right) = F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{0}\! \left(x \right) F_{11}\! \left(x \right) F_{56}\! \left(x \right)
F_{59}\! \left(x \right) = F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{11}\! \left(x \right) F_{61}\! \left(x \right) F_{64}\! \left(x \right)
F_{61}\! \left(x \right) = F_{0}\! \left(x \right)+F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{0}\! \left(x \right) F_{11}\! \left(x \right) F_{61}\! \left(x \right)
F_{64}\! \left(x \right) = F_{28}\! \left(x \right)+F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{4}\! \left(x \right) F_{47}\! \left(x \right)
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{11}\! \left(x \right) F_{64}\! \left(x \right)
F_{68}\! \left(x \right) = F_{11}\! \left(x \right) F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = 2 F_{9}\! \left(x \right)+F_{70}\! \left(x \right)+F_{71}\! \left(x \right)+F_{72}\! \left(x \right)
F_{70}\! \left(x \right) = F_{40}\! \left(x \right)
F_{71}\! \left(x \right) = F_{68}\! \left(x \right)
F_{72}\! \left(x \right) = F_{11}\! \left(x \right) F_{32}\! \left(x \right)
F_{73}\! \left(x \right) = F_{11}\! \left(x \right) F_{31}\! \left(x \right)
F_{74}\! \left(x \right) = F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{11}\! \left(x \right) F_{47}\! \left(x \right) F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{77}\! \left(x \right)+F_{81}\! \left(x \right)
F_{77}\! \left(x \right) = F_{33}\! \left(x \right)+F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{11}\! \left(x \right) F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{39}\! \left(x \right)+F_{77}\! \left(x \right)
F_{81}\! \left(x \right) = F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{11}\! \left(x \right) F_{43}\! \left(x \right) F_{47}\! \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_{308}\! \left(x \right)+F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{0}\! \left(x \right) F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{107}\! \left(x \right)+F_{129}\! \left(x \right)+F_{306}\! \left(x \right)+F_{4}\! \left(x \right)+F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{11}\! \left(x \right) F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{90}\! \left(x \right)+F_{94}\! \left(x \right)
F_{90}\! \left(x \right) = F_{91}\! \left(x \right)+F_{92}\! \left(x \right)
F_{91}\! \left(x \right) = F_{35}\! \left(x \right) F_{4}\! \left(x \right)
F_{92}\! \left(x \right) = F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{0}\! \left(x \right) F_{11}\! \left(x \right) F_{4}\! \left(x \right) F_{43}\! \left(x \right)
F_{94}\! \left(x \right) = F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{105}\! \left(x \right)+F_{41}\! \left(x \right)+F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{11}\! \left(x \right) F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{103}\! \left(x \right)+F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right)
F_{100}\! \left(x \right) = F_{47} \left(x \right)^{2} F_{101}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right)
F_{102}\! \left(x \right) = F_{11}\! \left(x \right) F_{17}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right)
F_{104}\! \left(x \right) = F_{41}\! \left(x \right) F_{6}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x \right)
F_{106}\! \left(x \right) = F_{11}\! \left(x \right) F_{27}\! \left(x \right) F_{41}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right) F_{11}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)+F_{118}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right)+F_{111}\! \left(x \right)
F_{110}\! \left(x \right) = F_{32}\! \left(x \right) F_{4}\! \left(x \right)
F_{111}\! \left(x \right) = 2 F_{9}\! \left(x \right)+F_{112}\! \left(x \right)+F_{114}\! \left(x \right)+F_{116}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)
F_{113}\! \left(x \right) = F_{11}\! \left(x \right) F_{92}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right)
F_{115}\! \left(x \right) = F_{11}\! \left(x \right) F_{111}\! \left(x \right)
F_{116}\! \left(x \right) = F_{117}\! \left(x \right)
F_{117}\! \left(x \right) = F_{0}\! \left(x \right) F_{11}\! \left(x \right) F_{32}\! \left(x \right) F_{4}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right)
F_{119}\! \left(x \right) = 2 F_{9}\! \left(x \right)+F_{120}\! \left(x \right)+F_{122}\! \left(x \right)+F_{124}\! \left(x \right)
F_{120}\! \left(x \right) = F_{121}\! \left(x \right)
F_{121}\! \left(x \right) = F_{11}\! \left(x \right) F_{95}\! \left(x \right)
F_{122}\! \left(x \right) = F_{123}\! \left(x \right)
F_{123}\! \left(x \right) = F_{11}\! \left(x \right) F_{119}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)
F_{125}\! \left(x \right) = F_{11}\! \left(x \right) F_{126}\! \left(x \right)
F_{126}\! \left(x \right) = F_{110}\! \left(x \right)+F_{127}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right)
F_{128}\! \left(x \right) = F_{47} \left(x \right)^{2} F_{15}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right)
F_{130}\! \left(x \right) = F_{11}\! \left(x \right) F_{131}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right)+F_{254}\! \left(x \right)
F_{132}\! \left(x \right) = F_{133}\! \left(x \right)+F_{182}\! \left(x \right)
F_{133}\! \left(x \right) = -F_{180}\! \left(x \right)+F_{134}\! \left(x \right)
F_{134}\! \left(x \right) = F_{135}\! \left(x \right)+F_{136}\! \left(x \right)
F_{135}\! \left(x \right) = F_{31}\! \left(x \right) F_{4}\! \left(x \right)
F_{136}\! \left(x \right) = F_{137}\! \left(x \right)
F_{137}\! \left(x \right) = \frac{F_{138}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{138}\! \left(x \right) = F_{139}\! \left(x \right)
F_{139}\! \left(x \right) = -F_{112}\! \left(x \right)-F_{114}\! \left(x \right)-F_{175}\! \left(x \right)-F_{9}\! \left(x \right)+F_{140}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right)
F_{141}\! \left(x \right) = F_{0}\! \left(x \right) F_{11}\! \left(x \right) F_{142}\! \left(x \right)
F_{142}\! \left(x \right) = \frac{F_{143}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{143}\! \left(x \right) = F_{144}\! \left(x \right)
F_{144}\! \left(x \right) = -F_{166}\! \left(x \right)-F_{167}\! \left(x \right)+F_{145}\! \left(x \right)
F_{145}\! \left(x \right) = \frac{F_{146}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{146}\! \left(x \right) = F_{147}\! \left(x \right)
F_{147}\! \left(x \right) = F_{11}\! \left(x \right) F_{148}\! \left(x \right)
F_{148}\! \left(x \right) = \frac{F_{149}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{149}\! \left(x \right) = F_{150}\! \left(x \right)
F_{150}\! \left(x \right) = -F_{52}\! \left(x \right)+F_{151}\! \left(x \right)
F_{151}\! \left(x \right) = F_{152}\! \left(x \right)+F_{161}\! \left(x \right)
F_{152}\! \left(x \right) = F_{153}\! \left(x \right)+F_{159}\! \left(x \right)
F_{153}\! \left(x \right) = F_{154}\! \left(x \right)+F_{6}\! \left(x \right)
F_{154}\! \left(x \right) = F_{155}\! \left(x \right)
F_{155}\! \left(x \right) = F_{11}\! \left(x \right) F_{156}\! \left(x \right)
F_{156}\! \left(x \right) = F_{157}\! \left(x \right)+F_{17}\! \left(x \right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right)
F_{158}\! \left(x \right) = F_{0}\! \left(x \right) F_{11}\! \left(x \right) F_{156}\! \left(x \right)
F_{159}\! \left(x \right) = F_{160}\! \left(x \right)
F_{160}\! \left(x \right) = F_{11}\! \left(x \right) F_{56}\! \left(x \right) F_{61}\! \left(x \right)
F_{161}\! \left(x \right) = F_{162}\! \left(x \right)
F_{162}\! \left(x \right) = F_{11}\! \left(x \right) F_{163}\! \left(x \right) F_{61}\! \left(x \right)
F_{163}\! \left(x \right) = F_{164}\! \left(x \right)+F_{64}\! \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_{163}\! \left(x \right)
F_{166}\! \left(x \right) = F_{47}\! \left(x \right) F_{76}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right)
F_{168}\! \left(x \right) = F_{0}\! \left(x \right) F_{11}\! \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_{171}\! \left(x \right)
F_{171}\! \left(x \right) = -F_{166}\! \left(x \right)+F_{172}\! \left(x \right)
F_{172}\! \left(x \right) = F_{173}\! \left(x \right)+F_{174}\! \left(x \right)
F_{173}\! \left(x \right) = F_{0}\! \left(x \right) F_{76}\! \left(x \right)
F_{174}\! \left(x \right) = F_{11}\! \left(x \right) F_{145}\! \left(x \right)
F_{175}\! \left(x \right) = F_{176}\! \left(x \right)
F_{176}\! \left(x \right) = F_{0}\! \left(x \right) F_{11}\! \left(x \right) F_{177}\! \left(x \right)
F_{177}\! \left(x \right) = F_{178}\! \left(x \right)+F_{179}\! \left(x \right)
F_{178}\! \left(x \right) = F_{33}\! \left(x \right) F_{4}\! \left(x \right)
F_{179}\! \left(x \right) = F_{15}\! \left(x \right) F_{47}\! \left(x \right)
F_{180}\! \left(x \right) = F_{181}\! \left(x \right)
F_{181}\! \left(x \right) = F_{4}\! \left(x \right) F_{74}\! \left(x \right)
F_{182}\! \left(x \right) = F_{183}\! \left(x \right)
F_{183}\! \left(x \right) = F_{11}\! \left(x \right) F_{184}\! \left(x \right) F_{47}\! \left(x \right)
F_{184}\! \left(x \right) = F_{185}\! \left(x \right)+F_{216}\! \left(x \right)
F_{185}\! \left(x \right) = F_{186}\! \left(x \right) F_{47}\! \left(x \right)
F_{186}\! \left(x \right) = -F_{204}\! \left(x \right)+F_{187}\! \left(x \right)
F_{187}\! \left(x \right) = \frac{F_{188}\! \left(x \right)}{F_{11}\! \left(x \right) F_{47}\! \left(x \right)}
F_{188}\! \left(x \right) = F_{189}\! \left(x \right)
F_{189}\! \left(x \right) = -F_{178}\! \left(x \right)-F_{197}\! \left(x \right)+F_{190}\! \left(x \right)
F_{190}\! \left(x \right) = \frac{F_{191}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{191}\! \left(x \right) = F_{192}\! \left(x \right)
F_{192}\! \left(x \right) = -F_{28}\! \left(x \right)+F_{193}\! \left(x \right)
F_{193}\! \left(x \right) = \frac{F_{194}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{194}\! \left(x \right) = F_{195}\! \left(x \right)
F_{195}\! \left(x \right) = F_{10}\! \left(x \right)+F_{196}\! \left(x \right)+F_{9}\! \left(x \right)
F_{196}\! \left(x \right) = F_{11}\! \left(x \right) F_{28}\! \left(x \right)
F_{197}\! \left(x \right) = F_{198}\! \left(x \right)
F_{198}\! \left(x \right) = F_{11}\! \left(x \right) F_{199}\! \left(x \right) F_{47}\! \left(x \right)
F_{199}\! \left(x \right) = F_{200}\! \left(x \right)+F_{202}\! \left(x \right)+F_{32}\! \left(x \right)
F_{200}\! \left(x \right) = F_{201}\! \left(x \right)
F_{201}\! \left(x \right) = F_{0}\! \left(x \right) F_{11}\! \left(x \right) F_{32}\! \left(x \right) F_{4}\! \left(x \right)
F_{202}\! \left(x \right) = F_{203}\! \left(x \right)
F_{203}\! \left(x \right) = F_{11}\! \left(x \right) F_{126}\! \left(x \right)
F_{204}\! \left(x \right) = F_{205}\! \left(x \right)
F_{205}\! \left(x \right) = F_{0} \left(x \right)^{2} F_{206}\! \left(x \right)
F_{206}\! \left(x \right) = -F_{213}\! \left(x \right)+F_{207}\! \left(x \right)
F_{207}\! \left(x \right) = F_{208}\! \left(x \right)+F_{35}\! \left(x \right)
F_{208}\! \left(x \right) = F_{209}\! \left(x \right)
F_{209}\! \left(x \right) = F_{11}\! \left(x \right) F_{210}\! \left(x \right) F_{33}\! \left(x \right)
F_{210}\! \left(x \right) = F_{211}\! \left(x \right)+F_{4}\! \left(x \right)
F_{211}\! \left(x \right) = F_{212}\! \left(x \right)
F_{212}\! \left(x \right) = F_{0}\! \left(x \right) F_{11}\! \left(x \right) F_{210}\! \left(x \right)
F_{213}\! \left(x \right) = F_{214}\! \left(x \right)+F_{33}\! \left(x \right)
F_{214}\! \left(x \right) = F_{215}\! \left(x \right)
F_{215}\! \left(x \right) = F_{11}\! \left(x \right) F_{33}\! \left(x \right) F_{61}\! \left(x \right)
F_{216}\! \left(x \right) = \frac{F_{217}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{217}\! \left(x \right) = F_{218}\! \left(x \right)
F_{218}\! \left(x \right) = -F_{240}\! \left(x \right)+F_{219}\! \left(x \right)
F_{219}\! \left(x \right) = 2 F_{9}\! \left(x \right)+F_{220}\! \left(x \right)+F_{221}\! \left(x \right)
F_{220}\! \left(x \right) = F_{11}\! \left(x \right) F_{137}\! \left(x \right)
F_{221}\! \left(x \right) = F_{222}\! \left(x \right)
F_{222}\! \left(x \right) = F_{0}\! \left(x \right) F_{11}\! \left(x \right) F_{223}\! \left(x \right)
F_{223}\! \left(x \right) = -F_{237}\! \left(x \right)+F_{224}\! \left(x \right)
F_{224}\! \left(x \right) = F_{225}\! \left(x \right)+F_{226}\! \left(x \right)+F_{227}\! \left(x \right)
F_{225}\! \left(x \right) = F_{47} \left(x \right)^{2} F_{4}\! \left(x \right)
F_{226}\! \left(x \right) = F_{11}\! \left(x \right) F_{199}\! \left(x \right)
F_{227}\! \left(x \right) = F_{11}\! \left(x \right) F_{228}\! \left(x \right)
F_{228}\! \left(x \right) = F_{229}\! \left(x \right)+F_{234}\! \left(x \right)
F_{229}\! \left(x \right) = F_{230}\! \left(x \right)+F_{232}\! \left(x \right)+F_{33}\! \left(x \right)
F_{230}\! \left(x \right) = F_{231}\! \left(x \right)
F_{231}\! \left(x \right) = F_{0}\! \left(x \right) F_{11}\! \left(x \right) F_{33}\! \left(x \right) F_{4}\! \left(x \right)
F_{232}\! \left(x \right) = F_{233}\! \left(x \right)
F_{233}\! \left(x \right) = F_{11}\! \left(x \right) F_{177}\! \left(x \right)
F_{234}\! \left(x \right) = F_{235}\! \left(x \right)
F_{235}\! \left(x \right) = F_{0} \left(x \right)^{2} F_{236}\! \left(x \right)
F_{236}\! \left(x \right) = -F_{33}\! \left(x \right)+F_{35}\! \left(x \right)
F_{237}\! \left(x \right) = F_{226}\! \left(x \right)+F_{238}\! \left(x \right)+F_{9}\! \left(x \right)
F_{238}\! \left(x \right) = F_{239}\! \left(x \right)
F_{239}\! \left(x \right) = F_{0} \left(x \right)^{2} F_{11}\! \left(x \right) F_{236}\! \left(x \right)
F_{240}\! \left(x \right) = \frac{F_{241}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{241}\! \left(x \right) = F_{242}\! \left(x \right)
F_{242}\! \left(x \right) = -F_{243}\! \left(x \right)-F_{250}\! \left(x \right)-F_{9}\! \left(x \right)+F_{219}\! \left(x \right)
F_{243}\! \left(x \right) = F_{244}\! \left(x \right)
F_{244}\! \left(x \right) = F_{11}\! \left(x \right) F_{245}\! \left(x \right)
F_{245}\! \left(x \right) = F_{246}\! \left(x \right)+F_{247}\! \left(x \right)+F_{248}\! \left(x \right)+F_{9}\! \left(x \right)
F_{246}\! \left(x \right) = F_{11}\! \left(x \right) F_{111}\! \left(x \right)
F_{247}\! \left(x \right) = F_{11}\! \left(x \right) F_{92}\! \left(x \right)
F_{248}\! \left(x \right) = F_{249}\! \left(x \right)
F_{249}\! \left(x \right) = F_{0}\! \left(x \right) F_{11}\! \left(x \right) F_{4}\! \left(x \right) F_{47}\! \left(x \right)
F_{250}\! \left(x \right) = F_{251}\! \left(x \right)
F_{251}\! \left(x \right) = F_{0}\! \left(x \right) F_{11}\! \left(x \right) F_{252}\! \left(x \right)
F_{252}\! \left(x \right) = F_{15}\! \left(x \right)+F_{253}\! \left(x \right)
F_{253}\! \left(x \right) = F_{0}\! \left(x \right) F_{4}\! \left(x \right)
F_{254}\! \left(x \right) = F_{255}\! \left(x \right)
F_{255}\! \left(x \right) = F_{120}\! \left(x \right)+F_{122}\! \left(x \right)+F_{256}\! \left(x \right)+F_{296}\! \left(x \right)+F_{9}\! \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_{255}\! \left(x \right)
F_{259}\! \left(x \right) = F_{260}\! \left(x \right)
F_{260}\! \left(x \right) = -F_{295}\! \left(x \right)+F_{261}\! \left(x \right)
F_{261}\! \left(x \right) = \frac{F_{262}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{262}\! \left(x \right) = F_{263}\! \left(x \right)
F_{263}\! \left(x \right) = -F_{83}\! \left(x \right)-F_{9}\! \left(x \right)+F_{264}\! \left(x \right)
F_{264}\! \left(x \right) = -F_{275}\! \left(x \right)+F_{265}\! \left(x \right)
F_{265}\! \left(x \right) = \frac{F_{266}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{266}\! \left(x \right) = -F_{2}\! \left(x \right)-F_{269}\! \left(x \right)-F_{272}\! \left(x \right)+F_{267}\! \left(x \right)
F_{267}\! \left(x \right) = F_{268}\! \left(x \right)
F_{268}\! \left(x \right) = F_{11}\! \left(x \right) F_{87}\! \left(x \right)
F_{269}\! \left(x \right) = F_{11}\! \left(x \right) F_{270}\! \left(x \right)
F_{270}\! \left(x \right) = F_{271}\! \left(x \right)
F_{271}\! \left(x \right) = F_{11}\! \left(x \right) F_{89}\! \left(x \right)
F_{272}\! \left(x \right) = F_{11}\! \left(x \right) F_{273}\! \left(x \right)
F_{273}\! \left(x \right) = F_{274}\! \left(x \right)
F_{274}\! \left(x \right) = F_{108}\! \left(x \right) F_{11}\! \left(x \right)
F_{275}\! \left(x \right) = F_{2}\! \left(x \right)+F_{276}\! \left(x \right)+F_{280}\! \left(x \right)+F_{284}\! \left(x \right)+F_{290}\! \left(x \right)
F_{276}\! \left(x \right) = F_{11}\! \left(x \right) F_{277}\! \left(x \right)
F_{277}\! \left(x \right) = F_{270}\! \left(x \right)+F_{278}\! \left(x \right)
F_{278}\! \left(x \right) = F_{279}\! \left(x \right)
F_{279}\! \left(x \right) = F_{2}\! \left(x \right) F_{41}\! \left(x \right)
F_{280}\! \left(x \right) = F_{11}\! \left(x \right) F_{281}\! \left(x \right)
F_{281}\! \left(x \right) = F_{273}\! \left(x \right)+F_{282}\! \left(x \right)
F_{282}\! \left(x \right) = F_{283}\! \left(x \right)
F_{283}\! \left(x \right) = F_{2}\! \left(x \right) F_{69}\! \left(x \right)
F_{284}\! \left(x \right) = F_{11}\! \left(x \right) F_{285}\! \left(x \right)
F_{285}\! \left(x \right) = F_{286}\! \left(x \right)+F_{287}\! \left(x \right)
F_{286}\! \left(x \right) = F_{2}\! \left(x \right) F_{31}\! \left(x \right)
F_{287}\! \left(x \right) = F_{288}\! \left(x \right)
F_{288}\! \left(x \right) = -F_{289}\! \left(x \right)+F_{275}\! \left(x \right)
F_{289}\! \left(x \right) = F_{2}\! \left(x \right) F_{32}\! \left(x \right)
F_{290}\! \left(x \right) = F_{11}\! \left(x \right) F_{291}\! \left(x \right)
F_{291}\! \left(x \right) = F_{292}\! \left(x \right)+F_{293}\! \left(x \right)
F_{292}\! \left(x \right) = F_{2}\! \left(x \right) F_{33}\! \left(x \right)
F_{293}\! \left(x \right) = -F_{294}\! \left(x \right)+F_{229}\! \left(x \right)
F_{294}\! \left(x \right) = F_{0}\! \left(x \right) F_{33}\! \left(x \right)
F_{295}\! \left(x \right) = -F_{133}\! \left(x \right)+F_{132}\! \left(x \right)
F_{296}\! \left(x \right) = F_{297}\! \left(x \right)
F_{297}\! \left(x \right) = F_{11}\! \left(x \right) F_{298}\! \left(x \right)
F_{298}\! \left(x \right) = F_{177}\! \left(x \right)+F_{299}\! \left(x \right)
F_{299}\! \left(x \right) = F_{11}\! \left(x \right) F_{300}\! \left(x \right) F_{47}\! \left(x \right)
F_{300}\! \left(x \right) = -F_{304}\! \left(x \right)+F_{301}\! \left(x \right)
F_{301}\! \left(x \right) = F_{228}\! \left(x \right)+F_{302}\! \left(x \right)
F_{302}\! \left(x \right) = F_{303}\! \left(x \right)
F_{303}\! \left(x \right) = F_{0} \left(x \right)^{2} F_{2}\! \left(x \right) F_{35}\! \left(x \right)
F_{304}\! \left(x \right) = F_{305}\! \left(x \right)
F_{305}\! \left(x \right) = F_{0} \left(x \right)^{3} F_{236}\! \left(x \right)
F_{306}\! \left(x \right) = F_{307}\! \left(x \right)
F_{307}\! \left(x \right) = F_{11}\! \left(x \right) F_{85}\! \left(x \right)
F_{308}\! \left(x \right) = \frac{F_{309}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{309}\! \left(x \right) = F_{310}\! \left(x \right)
F_{310}\! \left(x \right) = -F_{322}\! \left(x \right)-F_{74}\! \left(x \right)+F_{311}\! \left(x \right)
F_{311}\! \left(x \right) = F_{312}\! \left(x \right)
F_{312}\! \left(x \right) = F_{11}\! \left(x \right) F_{313}\! \left(x \right)
F_{313}\! \left(x \right) = F_{166}\! \left(x \right)+F_{314}\! \left(x \right)+F_{316}\! \left(x \right)+F_{318}\! \left(x \right)
F_{314}\! \left(x \right) = F_{315}\! \left(x \right)
F_{315}\! \left(x \right) = F_{0} \left(x \right)^{2} F_{11}\! \left(x \right) F_{169}\! \left(x \right)
F_{316}\! \left(x \right) = F_{317}\! \left(x \right)
F_{317}\! \left(x \right) = F_{0}\! \left(x \right) F_{11}\! \left(x \right) F_{142}\! \left(x \right)
F_{318}\! \left(x \right) = F_{319}\! \left(x \right)
F_{319}\! \left(x \right) = F_{11}\! \left(x \right) F_{320}\! \left(x \right)
F_{320}\! \left(x \right) = \frac{F_{321}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{321}\! \left(x \right) = F_{255}\! \left(x \right)
F_{322}\! \left(x \right) = F_{323}\! \left(x \right)
F_{323}\! \left(x \right) = F_{11}\! \left(x \right) F_{324}\! \left(x \right)
F_{324}\! \left(x \right) = F_{140}\! \left(x \right)+F_{254}\! \left(x \right)
F_{325}\! \left(x \right) = F_{326}\! \left(x \right)
F_{326}\! \left(x \right) = F_{11}\! \left(x \right) F_{131}\! \left(x \right)
F_{327}\! \left(x \right) = F_{328}\! \left(x \right)
F_{328}\! \left(x \right) = F_{11}\! \left(x \right) F_{329}\! \left(x \right)
F_{329}\! \left(x \right) = F_{330}\! \left(x \right)+F_{332}\! \left(x \right)
F_{330}\! \left(x \right) = F_{2}\! \left(x \right) F_{331}\! \left(x \right)
F_{331}\! \left(x \right) = F_{192}\! \left(x \right)+F_{27}\! \left(x \right)
F_{332}\! \left(x \right) = F_{333}\! \left(x \right)+F_{340}\! \left(x \right)
F_{333}\! \left(x \right) = F_{334}\! \left(x \right)+F_{339}\! \left(x \right)+F_{9}\! \left(x \right)
F_{334}\! \left(x \right) = F_{11}\! \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_{338}\! \left(x \right)+F_{9}\! \left(x \right)
F_{336}\! \left(x \right) = F_{11}\! \left(x \right) F_{69}\! \left(x \right)
F_{337}\! \left(x \right) = F_{11}\! \left(x \right) F_{41}\! \left(x \right)
F_{338}\! \left(x \right) = F_{11}\! \left(x \right) F_{47}\! \left(x \right)
F_{339}\! \left(x \right) = F_{11}\! \left(x \right) F_{331}\! \left(x \right)
F_{340}\! \left(x \right) = F_{11}\! \left(x \right) F_{341}\! \left(x \right)
F_{341}\! \left(x \right) = F_{342}\! \left(x \right)+F_{346}\! \left(x \right)
F_{342}\! \left(x \right) = F_{343}\! \left(x \right)+F_{344}\! \left(x \right)+F_{9}\! \left(x \right)
F_{343}\! \left(x \right) = F_{11}\! \left(x \right) F_{245}\! \left(x \right) F_{4}\! \left(x \right)
F_{344}\! \left(x \right) = F_{345}\! \left(x \right)
F_{345}\! \left(x \right) = F_{0}\! \left(x \right) F_{11}\! \left(x \right) F_{331}\! \left(x \right) F_{4}\! \left(x \right)
F_{346}\! \left(x \right) = F_{347}\! \left(x \right)
F_{347}\! \left(x \right) = F_{333}\! \left(x \right)+F_{348}\! \left(x \right)+F_{355}\! \left(x \right)
F_{348}\! \left(x \right) = F_{349}\! \left(x \right)
F_{349}\! \left(x \right) = F_{11}\! \left(x \right) F_{350}\! \left(x \right)
F_{350}\! \left(x \right) = F_{351}\! \left(x \right)+F_{352}\! \left(x \right)
F_{351}\! \left(x \right) = F_{333}\! \left(x \right) F_{6}\! \left(x \right)
F_{352}\! \left(x \right) = F_{353}\! \left(x \right)
F_{353}\! \left(x \right) = F_{101}\! \left(x \right) F_{354}\! \left(x \right) F_{47}\! \left(x \right)
F_{354}\! \left(x \right) = F_{47}\! \left(x \right)+F_{48}\! \left(x \right)
F_{355}\! \left(x \right) = F_{356}\! \left(x \right)
F_{356}\! \left(x \right) = F_{11}\! \left(x \right) F_{27}\! \left(x \right) F_{333}\! \left(x \right)
F_{357}\! \left(x \right) = F_{11}\! \left(x \right) F_{27}\! \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_1(x) + F_357(x) + F_5(x))
Eq(F_5(x), F_11(x)*F_6(x))
Eq(F_6(x), F_4(x) + F_7(x))
Eq(F_7(x), F_327(x) + F_8(x))
Eq(F_8(x), F_10(x) + F_12(x) + F_9(x))
Eq(F_9(x), 0)
Eq(F_10(x), F_11(x)*F_7(x))
Eq(F_11(x), x)
Eq(F_12(x), F_13(x))
Eq(F_13(x), F_11(x)*F_14(x))
Eq(F_14(x), F_15(x) + F_4(x))
Eq(F_15(x), F_16(x))
Eq(F_16(x), F_11(x)*F_17(x))
Eq(F_17(x), F_18(x) + F_21(x) + F_25(x))
Eq(F_18(x), F_1(x) + F_12(x) + F_19(x))
Eq(F_19(x), F_20(x))
Eq(F_20(x), F_0(x)*F_11(x)*F_4(x))
Eq(F_21(x), F_11(x)*F_22(x))
Eq(F_22(x), F_17(x) + F_23(x))
Eq(F_23(x), F_24(x))
Eq(F_24(x), F_0(x)**2*F_7(x))
Eq(F_25(x), F_26(x))
Eq(F_26(x), F_0(x)**2*F_11(x)*F_27(x))
Eq(F_27(x), F_28(x) + F_4(x))
Eq(F_28(x), F_29(x))
Eq(F_29(x), F_11(x)*F_30(x))
Eq(F_30(x), F_31(x) + F_325(x) + F_83(x))
Eq(F_31(x), F_32(x) + F_74(x))
Eq(F_32(x), F_33(x) + F_39(x))
Eq(F_33(x), F_1(x) + F_34(x) + F_38(x))
Eq(F_34(x), F_11(x)*F_35(x))
Eq(F_35(x), F_36(x)/F_11(x))
Eq(F_36(x), -F_1(x) - F_37(x) + F_4(x))
Eq(F_37(x), F_11(x)*F_32(x))
Eq(F_38(x), F_11(x)*F_32(x))
Eq(F_39(x), F_40(x) + F_68(x) + F_73(x) + F_9(x))
Eq(F_40(x), F_11(x)*F_41(x))
Eq(F_41(x), F_42(x))
Eq(F_42(x), F_11(x)*F_43(x))
Eq(F_43(x), F_35(x) + F_44(x))
Eq(F_44(x), F_45(x))
Eq(F_45(x), F_11(x)*F_33(x)*F_46(x))
Eq(F_46(x), F_47(x) + F_50(x) + F_66(x))
Eq(F_47(x), F_1(x) + F_48(x))
Eq(F_48(x), F_49(x))
Eq(F_49(x), F_11(x)*F_47(x))
Eq(F_50(x), F_51(x))
Eq(F_51(x), F_11(x)*F_52(x))
Eq(F_52(x), F_53(x)/F_11(x))
Eq(F_53(x), F_54(x))
Eq(F_54(x), F_11(x)*F_55(x))
Eq(F_55(x), F_56(x) + F_59(x))
Eq(F_56(x), F_57(x) + F_6(x))
Eq(F_57(x), F_58(x))
Eq(F_58(x), F_0(x)*F_11(x)*F_56(x))
Eq(F_59(x), F_60(x))
Eq(F_60(x), F_11(x)*F_61(x)*F_64(x))
Eq(F_61(x), F_0(x) + F_62(x))
Eq(F_62(x), F_63(x))
Eq(F_63(x), F_0(x)*F_11(x)*F_61(x))
Eq(F_64(x), F_28(x) + F_65(x))
Eq(F_65(x), F_4(x)*F_47(x))
Eq(F_66(x), F_67(x))
Eq(F_67(x), F_11(x)*F_64(x))
Eq(F_68(x), F_11(x)*F_69(x))
Eq(F_69(x), F_70(x) + F_71(x) + F_72(x) + 2*F_9(x))
Eq(F_70(x), F_40(x))
Eq(F_71(x), F_68(x))
Eq(F_72(x), F_11(x)*F_32(x))
Eq(F_73(x), F_11(x)*F_31(x))
Eq(F_74(x), F_75(x))
Eq(F_75(x), F_11(x)*F_47(x)*F_76(x))
Eq(F_76(x), F_77(x) + F_81(x))
Eq(F_77(x), F_33(x) + F_78(x))
Eq(F_78(x), F_79(x))
Eq(F_79(x), F_11(x)*F_80(x))
Eq(F_80(x), F_39(x) + F_77(x))
Eq(F_81(x), F_82(x))
Eq(F_82(x), F_11(x)*F_43(x)*F_47(x))
Eq(F_83(x), F_84(x))
Eq(F_84(x), F_11(x)*F_85(x))
Eq(F_85(x), F_308(x) + F_86(x))
Eq(F_86(x), F_0(x)*F_87(x))
Eq(F_87(x), F_107(x) + F_129(x) + F_306(x) + F_4(x) + F_88(x))
Eq(F_88(x), F_11(x)*F_89(x))
Eq(F_89(x), F_90(x) + F_94(x))
Eq(F_90(x), F_91(x) + F_92(x))
Eq(F_91(x), F_35(x)*F_4(x))
Eq(F_92(x), F_93(x))
Eq(F_93(x), F_0(x)*F_11(x)*F_4(x)*F_43(x))
Eq(F_94(x), F_95(x))
Eq(F_95(x), F_105(x) + F_41(x) + F_96(x))
Eq(F_96(x), F_97(x))
Eq(F_97(x), F_11(x)*F_98(x))
Eq(F_98(x), F_103(x) + F_99(x))
Eq(F_99(x), F_100(x))
Eq(F_100(x), F_101(x)*F_47(x)**2)
Eq(F_101(x), F_102(x))
Eq(F_102(x), F_11(x)*F_17(x))
Eq(F_103(x), F_104(x))
Eq(F_104(x), F_41(x)*F_6(x))
Eq(F_105(x), F_106(x))
Eq(F_106(x), F_11(x)*F_27(x)*F_41(x))
Eq(F_107(x), F_108(x)*F_11(x))
Eq(F_108(x), F_109(x) + F_118(x))
Eq(F_109(x), F_110(x) + F_111(x))
Eq(F_110(x), F_32(x)*F_4(x))
Eq(F_111(x), F_112(x) + F_114(x) + F_116(x) + 2*F_9(x))
Eq(F_112(x), F_113(x))
Eq(F_113(x), F_11(x)*F_92(x))
Eq(F_114(x), F_115(x))
Eq(F_115(x), F_11(x)*F_111(x))
Eq(F_116(x), F_117(x))
Eq(F_117(x), F_0(x)*F_11(x)*F_32(x)*F_4(x))
Eq(F_118(x), F_119(x))
Eq(F_119(x), F_120(x) + F_122(x) + F_124(x) + 2*F_9(x))
Eq(F_120(x), F_121(x))
Eq(F_121(x), F_11(x)*F_95(x))
Eq(F_122(x), F_123(x))
Eq(F_123(x), F_11(x)*F_119(x))
Eq(F_124(x), F_125(x))
Eq(F_125(x), F_11(x)*F_126(x))
Eq(F_126(x), F_110(x) + F_127(x))
Eq(F_127(x), F_128(x))
Eq(F_128(x), F_15(x)*F_47(x)**2)
Eq(F_129(x), F_130(x))
Eq(F_130(x), F_11(x)*F_131(x))
Eq(F_131(x), F_132(x) + F_254(x))
Eq(F_132(x), F_133(x) + F_182(x))
Eq(F_133(x), F_134(x) - F_180(x))
Eq(F_134(x), F_135(x) + F_136(x))
Eq(F_135(x), F_31(x)*F_4(x))
Eq(F_136(x), F_137(x))
Eq(F_137(x), F_138(x)/F_11(x))
Eq(F_138(x), F_139(x))
Eq(F_139(x), -F_112(x) - F_114(x) + F_140(x) - F_175(x) - F_9(x))
Eq(F_140(x), F_141(x))
Eq(F_141(x), F_0(x)*F_11(x)*F_142(x))
Eq(F_142(x), F_143(x)/F_11(x))
Eq(F_143(x), F_144(x))
Eq(F_144(x), F_145(x) - F_166(x) - F_167(x))
Eq(F_145(x), F_146(x)/F_11(x))
Eq(F_146(x), F_147(x))
Eq(F_147(x), F_11(x)*F_148(x))
Eq(F_148(x), F_149(x)/F_11(x))
Eq(F_149(x), F_150(x))
Eq(F_150(x), F_151(x) - F_52(x))
Eq(F_151(x), F_152(x) + F_161(x))
Eq(F_152(x), F_153(x) + F_159(x))
Eq(F_153(x), F_154(x) + F_6(x))
Eq(F_154(x), F_155(x))
Eq(F_155(x), F_11(x)*F_156(x))
Eq(F_156(x), F_157(x) + F_17(x))
Eq(F_157(x), F_158(x))
Eq(F_158(x), F_0(x)*F_11(x)*F_156(x))
Eq(F_159(x), F_160(x))
Eq(F_160(x), F_11(x)*F_56(x)*F_61(x))
Eq(F_161(x), F_162(x))
Eq(F_162(x), F_11(x)*F_163(x)*F_61(x))
Eq(F_163(x), F_164(x) + F_64(x))
Eq(F_164(x), F_165(x))
Eq(F_165(x), F_0(x)*F_11(x)*F_163(x))
Eq(F_166(x), F_47(x)*F_76(x))
Eq(F_167(x), F_168(x))
Eq(F_168(x), F_0(x)*F_11(x)*F_169(x))
Eq(F_169(x), F_170(x)/F_11(x))
Eq(F_170(x), F_171(x))
Eq(F_171(x), -F_166(x) + F_172(x))
Eq(F_172(x), F_173(x) + F_174(x))
Eq(F_173(x), F_0(x)*F_76(x))
Eq(F_174(x), F_11(x)*F_145(x))
Eq(F_175(x), F_176(x))
Eq(F_176(x), F_0(x)*F_11(x)*F_177(x))
Eq(F_177(x), F_178(x) + F_179(x))
Eq(F_178(x), F_33(x)*F_4(x))
Eq(F_179(x), F_15(x)*F_47(x))
Eq(F_180(x), F_181(x))
Eq(F_181(x), F_4(x)*F_74(x))
Eq(F_182(x), F_183(x))
Eq(F_183(x), F_11(x)*F_184(x)*F_47(x))
Eq(F_184(x), F_185(x) + F_216(x))
Eq(F_185(x), F_186(x)*F_47(x))
Eq(F_186(x), F_187(x) - F_204(x))
Eq(F_187(x), F_188(x)/(F_11(x)*F_47(x)))
Eq(F_188(x), F_189(x))
Eq(F_189(x), -F_178(x) + F_190(x) - F_197(x))
Eq(F_190(x), F_191(x)/F_11(x))
Eq(F_191(x), F_192(x))
Eq(F_192(x), F_193(x) - F_28(x))
Eq(F_193(x), F_194(x)/F_11(x))
Eq(F_194(x), F_195(x))
Eq(F_195(x), F_10(x) + F_196(x) + F_9(x))
Eq(F_196(x), F_11(x)*F_28(x))
Eq(F_197(x), F_198(x))
Eq(F_198(x), F_11(x)*F_199(x)*F_47(x))
Eq(F_199(x), F_200(x) + F_202(x) + F_32(x))
Eq(F_200(x), F_201(x))
Eq(F_201(x), F_0(x)*F_11(x)*F_32(x)*F_4(x))
Eq(F_202(x), F_203(x))
Eq(F_203(x), F_11(x)*F_126(x))
Eq(F_204(x), F_205(x))
Eq(F_205(x), F_0(x)**2*F_206(x))
Eq(F_206(x), F_207(x) - F_213(x))
Eq(F_207(x), F_208(x) + F_35(x))
Eq(F_208(x), F_209(x))
Eq(F_209(x), F_11(x)*F_210(x)*F_33(x))
Eq(F_210(x), F_211(x) + F_4(x))
Eq(F_211(x), F_212(x))
Eq(F_212(x), F_0(x)*F_11(x)*F_210(x))
Eq(F_213(x), F_214(x) + F_33(x))
Eq(F_214(x), F_215(x))
Eq(F_215(x), F_11(x)*F_33(x)*F_61(x))
Eq(F_216(x), F_217(x)/F_11(x))
Eq(F_217(x), F_218(x))
Eq(F_218(x), F_219(x) - F_240(x))
Eq(F_219(x), F_220(x) + F_221(x) + 2*F_9(x))
Eq(F_220(x), F_11(x)*F_137(x))
Eq(F_221(x), F_222(x))
Eq(F_222(x), F_0(x)*F_11(x)*F_223(x))
Eq(F_223(x), F_224(x) - F_237(x))
Eq(F_224(x), F_225(x) + F_226(x) + F_227(x))
Eq(F_225(x), F_4(x)*F_47(x)**2)
Eq(F_226(x), F_11(x)*F_199(x))
Eq(F_227(x), F_11(x)*F_228(x))
Eq(F_228(x), F_229(x) + F_234(x))
Eq(F_229(x), F_230(x) + F_232(x) + F_33(x))
Eq(F_230(x), F_231(x))
Eq(F_231(x), F_0(x)*F_11(x)*F_33(x)*F_4(x))
Eq(F_232(x), F_233(x))
Eq(F_233(x), F_11(x)*F_177(x))
Eq(F_234(x), F_235(x))
Eq(F_235(x), F_0(x)**2*F_236(x))
Eq(F_236(x), -F_33(x) + F_35(x))
Eq(F_237(x), F_226(x) + F_238(x) + F_9(x))
Eq(F_238(x), F_239(x))
Eq(F_239(x), F_0(x)**2*F_11(x)*F_236(x))
Eq(F_240(x), F_241(x)/F_11(x))
Eq(F_241(x), F_242(x))
Eq(F_242(x), F_219(x) - F_243(x) - F_250(x) - F_9(x))
Eq(F_243(x), F_244(x))
Eq(F_244(x), F_11(x)*F_245(x))
Eq(F_245(x), F_246(x) + F_247(x) + F_248(x) + F_9(x))
Eq(F_246(x), F_11(x)*F_111(x))
Eq(F_247(x), F_11(x)*F_92(x))
Eq(F_248(x), F_249(x))
Eq(F_249(x), F_0(x)*F_11(x)*F_4(x)*F_47(x))
Eq(F_250(x), F_251(x))
Eq(F_251(x), F_0(x)*F_11(x)*F_252(x))
Eq(F_252(x), F_15(x) + F_253(x))
Eq(F_253(x), F_0(x)*F_4(x))
Eq(F_254(x), F_255(x))
Eq(F_255(x), F_120(x) + F_122(x) + F_256(x) + F_296(x) + F_9(x))
Eq(F_256(x), F_257(x))
Eq(F_257(x), F_11(x)*F_258(x))
Eq(F_258(x), F_255(x) - F_259(x))
Eq(F_259(x), F_260(x))
Eq(F_260(x), F_261(x) - F_295(x))
Eq(F_261(x), F_262(x)/F_11(x))
Eq(F_262(x), F_263(x))
Eq(F_263(x), F_264(x) - F_83(x) - F_9(x))
Eq(F_264(x), F_265(x) - F_275(x))
Eq(F_265(x), F_266(x)/F_11(x))
Eq(F_266(x), -F_2(x) + F_267(x) - F_269(x) - F_272(x))
Eq(F_267(x), F_268(x))
Eq(F_268(x), F_11(x)*F_87(x))
Eq(F_269(x), F_11(x)*F_270(x))
Eq(F_270(x), F_271(x))
Eq(F_271(x), F_11(x)*F_89(x))
Eq(F_272(x), F_11(x)*F_273(x))
Eq(F_273(x), F_274(x))
Eq(F_274(x), F_108(x)*F_11(x))
Eq(F_275(x), F_2(x) + F_276(x) + F_280(x) + F_284(x) + F_290(x))
Eq(F_276(x), F_11(x)*F_277(x))
Eq(F_277(x), F_270(x) + F_278(x))
Eq(F_278(x), F_279(x))
Eq(F_279(x), F_2(x)*F_41(x))
Eq(F_280(x), F_11(x)*F_281(x))
Eq(F_281(x), F_273(x) + F_282(x))
Eq(F_282(x), F_283(x))
Eq(F_283(x), F_2(x)*F_69(x))
Eq(F_284(x), F_11(x)*F_285(x))
Eq(F_285(x), F_286(x) + F_287(x))
Eq(F_286(x), F_2(x)*F_31(x))
Eq(F_287(x), F_288(x))
Eq(F_288(x), F_275(x) - F_289(x))
Eq(F_289(x), F_2(x)*F_32(x))
Eq(F_290(x), F_11(x)*F_291(x))
Eq(F_291(x), F_292(x) + F_293(x))
Eq(F_292(x), F_2(x)*F_33(x))
Eq(F_293(x), F_229(x) - F_294(x))
Eq(F_294(x), F_0(x)*F_33(x))
Eq(F_295(x), F_132(x) - F_133(x))
Eq(F_296(x), F_297(x))
Eq(F_297(x), F_11(x)*F_298(x))
Eq(F_298(x), F_177(x) + F_299(x))
Eq(F_299(x), F_11(x)*F_300(x)*F_47(x))
Eq(F_300(x), F_301(x) - F_304(x))
Eq(F_301(x), F_228(x) + F_302(x))
Eq(F_302(x), F_303(x))
Eq(F_303(x), F_0(x)**2*F_2(x)*F_35(x))
Eq(F_304(x), F_305(x))
Eq(F_305(x), F_0(x)**3*F_236(x))
Eq(F_306(x), F_307(x))
Eq(F_307(x), F_11(x)*F_85(x))
Eq(F_308(x), F_309(x)/F_11(x))
Eq(F_309(x), F_310(x))
Eq(F_310(x), F_311(x) - F_322(x) - F_74(x))
Eq(F_311(x), F_312(x))
Eq(F_312(x), F_11(x)*F_313(x))
Eq(F_313(x), F_166(x) + F_314(x) + F_316(x) + F_318(x))
Eq(F_314(x), F_315(x))
Eq(F_315(x), F_0(x)**2*F_11(x)*F_169(x))
Eq(F_316(x), F_317(x))
Eq(F_317(x), F_0(x)*F_11(x)*F_142(x))
Eq(F_318(x), F_319(x))
Eq(F_319(x), F_11(x)*F_320(x))
Eq(F_320(x), F_321(x)/F_11(x))
Eq(F_321(x), F_255(x))
Eq(F_322(x), F_323(x))
Eq(F_323(x), F_11(x)*F_324(x))
Eq(F_324(x), F_140(x) + F_254(x))
Eq(F_325(x), F_326(x))
Eq(F_326(x), F_11(x)*F_131(x))
Eq(F_327(x), F_328(x))
Eq(F_328(x), F_11(x)*F_329(x))
Eq(F_329(x), F_330(x) + F_332(x))
Eq(F_330(x), F_2(x)*F_331(x))
Eq(F_331(x), F_192(x) + F_27(x))
Eq(F_332(x), F_333(x) + F_340(x))
Eq(F_333(x), F_334(x) + F_339(x) + F_9(x))
Eq(F_334(x), F_11(x)*F_335(x)*F_4(x))
Eq(F_335(x), F_336(x) + F_337(x) + F_338(x) + F_9(x))
Eq(F_336(x), F_11(x)*F_69(x))
Eq(F_337(x), F_11(x)*F_41(x))
Eq(F_338(x), F_11(x)*F_47(x))
Eq(F_339(x), F_11(x)*F_331(x))
Eq(F_340(x), F_11(x)*F_341(x))
Eq(F_341(x), F_342(x) + F_346(x))
Eq(F_342(x), F_343(x) + F_344(x) + F_9(x))
Eq(F_343(x), F_11(x)*F_245(x)*F_4(x))
Eq(F_344(x), F_345(x))
Eq(F_345(x), F_0(x)*F_11(x)*F_331(x)*F_4(x))
Eq(F_346(x), F_347(x))
Eq(F_347(x), F_333(x) + F_348(x) + F_355(x))
Eq(F_348(x), F_349(x))
Eq(F_349(x), F_11(x)*F_350(x))
Eq(F_350(x), F_351(x) + F_352(x))
Eq(F_351(x), F_333(x)*F_6(x))
Eq(F_352(x), F_353(x))
Eq(F_353(x), F_101(x)*F_354(x)*F_47(x))
Eq(F_354(x), F_47(x) + F_48(x))
Eq(F_355(x), F_356(x))
Eq(F_356(x), F_11(x)*F_27(x)*F_333(x))
Eq(F_357(x), F_11(x)*F_27(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:
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"pos": [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {"patt": [1, 4, 2, 0, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 4, 2, 0, 3], "pos": [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 4, 3, 0, 2], "pos": [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {"patt": [1, 4, 3, 0, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 4, 3, 0, 2], "pos": [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 4, 3, 0, 2], "pos": [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {"patt": [2, 4, 1, 0, 3], "pos": [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {"patt": [2, 4, 1, 0, 3], "pos": [[0, 4], [0, 4], [1, 1], [1, 1], [1, 4]]}, {"patt": [2, 4, 1, 0, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 4, 1, 0, 3], "pos": [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 4]]}], [{"patt": [0], "pos": [[1, 4]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[0, 2]]}, {"patt": [0, 1], "pos": [[1, 2], [1, 3]]}, {"patt": [0, 1], "pos": [[1, 3], [1, 3]]}, {"patt": [1, 0], "pos": [[1, 3], [1, 3]]}, {"patt": [0, 2, 1], "pos": [[1, 2], [1, 2], [1, 2]]}, {"patt": [1, 2, 0], "pos": [[1, 2], [1, 2], [1, 0]]}, {"patt": [1, 2, 0], "pos": [[1, 2], [1, 2], [1, 1]]}, {"patt": [1, 2, 0], "pos": [[1, 2], [1, 2], [1, 2]]}, {"patt": [2, 1, 0], "pos": [[1, 2], [1, 0], [1, 0]]}, {"patt": [2, 1, 0], "pos": [[1, 2], [1, 1], [1, 0]]}, {"patt": [2, 1, 0], "pos": [[1, 2], [1, 1], [1, 1]]}, {"patt": [2, 1, 0], "pos": [[1, 2], [1, 2], [1, 0]]}, {"patt": [2, 1, 0], "pos": [[1, 2], [1, 2], [1, 1]]}, {"patt": [2, 1, 0], "pos": [[1, 2], [1, 2], [1, 2]]}, {"patt": [2, 1, 0], "pos": [[1, 3], [1, 0], [1, 0]]}, {"patt": [2, 1, 0], "pos": [[1, 3], [1, 1], [1, 0]]}, {"patt": [2, 1, 0], "pos": [[1, 3], [1, 1], [1, 1]]}, {"patt": [2, 1, 0], "pos": [[1, 3], [1, 2], [1, 0]]}, {"patt": [2, 1, 0], "pos": [[1, 3], [1, 2], [1, 1]]}, {"patt": [2, 1, 0], "pos": [[1, 3], [1, 2], [1, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 3], [0, 3], [0, 3], [1, 3]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 3], [0, 3], [0, 3], [1, 3]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 3], [0, 3], [0, 3], [1, 3]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 3], [0, 3], [0, 3], [1, 3]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 3], [0, 3], [1, 0], [1, 3]]}, {"patt": [1, 3, 2, 0], "pos": [[1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [2, 3, 0, 1], "pos": [[1, 1], [1, 1], [1, 0], [1, 1]]}, {"patt": [2, 3, 0, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [2, 3, 0, 1], "pos": [[1, 1], [1, 2], [1, 0], [1, 1]]}, {"patt": [2, 3, 0, 1], "pos": [[1, 1], [1, 2], [1, 1], [1, 1]]}, {"patt": [2, 3, 0, 1], "pos": [[1, 1], [1, 3], [1, 0], [1, 1]]}, {"patt": [2, 3, 0, 1], "pos": [[1, 1], [1, 3], [1, 1], [1, 1]]}, {"patt": [2, 3, 1, 0], "pos": [[1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [3, 1, 0, 2], "pos": [[1, 1], [1, 0], [1, 0], [1, 1]]}, {"patt": [3, 1, 0, 2], "pos": [[1, 1], [1, 1], [1, 0], [1, 1]]}, {"patt": [3, 1, 0, 2], "pos": [[1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [3, 2, 0, 1], "pos": [[1, 1], [1, 1], [1, 0], [1, 1]]}, {"patt": [3, 2, 0, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [3, 2, 1, 0], "pos": [[1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 0], [1, 0], [1, 1], [1, 1], [1, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[1, 0], [1, 0], [1, 3], [1, 0], [1, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[1, 0], [1, 1], [1, 2], [1, 0], [1, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[1, 0], [1, 1], [1, 3], [1, 0], [1, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {"patt": [1, 3, 4, 0, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [1, 3, 4, 0, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 4, 0, 2], "pos": [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {"patt": [1, 3, 4, 0, 2], "pos": [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {"patt": [1, 3, 4, 0, 2], "pos": [[1, 0], [1, 0], [1, 3], [1, 0], [1, 0]]}, {"patt": [1, 3, 4, 0, 2], "pos": [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {"patt": [1, 3, 4, 0, 2], "pos": [[1, 0], [1, 1], [1, 2], [1, 0], [1, 0]]}, {"patt": [1, 3, 4, 0, 2], "pos": [[1, 0], [1, 1], [1, 3], [1, 0], [1, 0]]}, {"patt": [1, 4, 2, 0, 3], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [1, 4, 2, 0, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 4, 2, 0, 3], "pos": [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 4, 3, 0, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [1, 4, 3, 0, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 4, 3, 0, 2], "pos": [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 4, 3, 0, 2], "pos": [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {"patt": [2, 4, 1, 0, 3], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [2, 4, 1, 0, 3], "pos": [[0, 3], [0, 3], [1, 1], [1, 1], [1, 3]]}, {"patt": [2, 4, 1, 0, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 4, 1, 0, 3], "pos": [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 3]]}], [{"patt": [0], "pos": [[1, 3]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionInferralStrategy", "gps": [{"patt": [0], "pos": [[1, 3]]}]}}]}, {"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": "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 2
Strategy pack name: point_placements_req_corrob
Tree: http://permpal.com/tree/25243/
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[18,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[18,x]*F[8,x]
F[8,x] = F[19,x]+F[9,x]
F[9,x] = F[10,x]*F[2,x]
F[10,x] = F[0,x]+F[11,x]
F[11,x] = F[12,x]
F[12,x] = F[13,x]*F[18,x]
F[13,x] = 1/F[18,x]*F[14,x]
F[14,x] = F[15,x]
F[15,x] = -F[0,x]+F[16,x]
F[16,x] = 1/F[18,x]*F[17,x]
F[17,x] = F[2,x]
F[18,x] = x
F[19,x] = F[20,x]
F[20,x] = F[18,x]*F[21,x]
F[21,x] = F[22,x]+F[362,x]
F[22,x] = F[23,x]+F[334,x]
F[23,x] = F[24,x]+F[25,x]
F[24,x] = F[0,x]*F[13,x]
F[25,x] = F[26,x]
F[26,x] = F[0,x]*F[10,x]*F[27,x]
F[27,x] = -F[316,x]+F[28,x]
F[28,x] = 1/F[36,x]*F[29,x]
F[29,x] = -F[312,x]+F[30,x]
F[30,x] = -F[306,x]+F[31,x]
F[31,x] = 1/F[18,x]*F[32,x]
F[32,x] = F[33,x]
F[33,x] = F[18,x]*F[34,x]
F[34,x] = F[238,x]+F[35,x]
F[35,x] = F[36,x]*F[68,x]
F[36,x] = F[1,x]+F[37,x]
F[37,x] = F[38,x]
F[38,x] = F[18,x]*F[39,x]
F[39,x] = F[36,x]+F[40,x]
F[40,x] = F[41,x]+F[49,x]
F[41,x] = F[42,x]
F[42,x] = F[18,x]*F[43,x]
F[43,x] = F[44,x]+F[45,x]
F[44,x] = F[1,x]+F[41,x]
F[45,x] = F[18,x]+F[46,x]
F[46,x] = F[47,x]
F[47,x] = F[18,x]*F[48,x]
F[48,x] = F[45,x]
F[49,x] = F[50,x]+F[51,x]+F[57,x]
F[50,x] = 0
F[51,x] = F[18,x]*F[52,x]
F[52,x] = F[53,x]+F[54,x]
F[53,x] = F[37,x]+F[49,x]
F[54,x] = F[55,x]+F[65,x]
F[55,x] = F[50,x]+F[56,x]+F[57,x]
F[56,x] = F[18,x]*F[37,x]
F[57,x] = F[18,x]*F[58,x]
F[58,x] = F[59,x]+F[60,x]
F[59,x] = F[18,x]+F[55,x]
F[60,x] = F[61,x]+F[63,x]
F[61,x] = F[62,x]
F[62,x] = F[18,x]*F[41,x]
F[63,x] = F[64,x]
F[64,x] = F[18,x]*F[49,x]
F[65,x] = F[66,x]
F[66,x] = F[18,x]*F[67,x]
F[67,x] = F[54,x]
F[68,x] = F[69,x]
F[69,x] = F[18,x]*F[70,x]
F[70,x] = F[232,x]+F[71,x]
F[71,x] = F[72,x]+F[83,x]
F[72,x] = F[0,x]*F[73,x]
F[73,x] = F[74,x]+F[75,x]
F[74,x] = F[1,x]+F[18,x]
F[75,x] = F[76,x]+F[79,x]
F[76,x] = F[77,x]
F[77,x] = F[18,x]*F[78,x]
F[78,x] = F[1,x]+F[76,x]
F[79,x] = F[50,x]+F[80,x]+F[82,x]
F[80,x] = F[18,x]*F[81,x]
F[81,x] = F[18,x]+F[79,x]
F[82,x] = F[18,x]*F[76,x]
F[83,x] = F[84,x]
F[84,x] = F[230,x]+F[85,x]
F[85,x] = F[228,x]+F[86,x]
F[86,x] = F[41,x]+F[87,x]
F[87,x] = F[88,x]
F[88,x] = F[18,x]*F[89,x]
F[89,x] = F[90,x]+F[91,x]
F[90,x] = F[78,x]^2*F[2,x]
F[91,x] = 1/F[36,x]*F[92,x]
F[92,x] = F[93,x]
F[93,x] = -F[96,x]+F[94,x]
F[94,x] = 1/F[18,x]*F[95,x]
F[95,x] = F[33,x]
F[96,x] = F[2,x]*F[97,x]
F[97,x] = F[177,x]+F[98,x]
F[98,x] = F[78,x]*F[99,x]
F[99,x] = F[100,x]+F[78,x]
F[100,x] = F[101,x]+F[37,x]
F[101,x] = F[102,x]+F[165,x]+F[50,x]
F[102,x] = F[103,x]*F[18,x]
F[103,x] = F[104,x]+F[105,x]
F[104,x] = F[101,x]+F[76,x]
F[105,x] = F[106,x]+F[120,x]
F[106,x] = F[107,x]+F[112,x]+F[50,x]
F[107,x] = F[108,x]*F[18,x]
F[108,x] = F[109,x]+F[116,x]
F[109,x] = F[110,x]+F[76,x]
F[110,x] = F[111,x]+F[112,x]+F[50,x]
F[111,x] = F[109,x]*F[18,x]
F[112,x] = F[113,x]*F[18,x]
F[113,x] = F[114,x]+F[18,x]
F[114,x] = F[115,x]
F[115,x] = F[18,x]*F[76,x]
F[116,x] = F[114,x]+F[117,x]
F[117,x] = 2*F[50,x]+F[118,x]+F[119,x]
F[118,x] = F[110,x]*F[18,x]
F[119,x] = F[116,x]*F[18,x]
F[120,x] = F[121,x]+F[126,x]+F[132,x]+F[50,x]
F[121,x] = F[122,x]*F[18,x]
F[122,x] = F[123,x]+F[159,x]
F[123,x] = F[101,x]+F[124,x]
F[124,x] = F[125,x]+F[126,x]+F[132,x]+F[50,x]
F[125,x] = F[123,x]*F[18,x]
F[126,x] = F[127,x]*F[18,x]
F[127,x] = F[128,x]+F[150,x]
F[128,x] = F[129,x]+F[130,x]
F[129,x] = F[112,x]+F[115,x]+F[50,x]
F[130,x] = F[126,x]+F[131,x]+F[132,x]+F[50,x]
F[131,x] = F[101,x]*F[18,x]
F[132,x] = F[133,x]*F[18,x]
F[133,x] = F[134,x]+F[140,x]
F[134,x] = F[115,x]+F[135,x]+F[50,x]
F[135,x] = F[136,x]*F[18,x]
F[136,x] = F[137,x]
F[137,x] = F[138,x]+F[18,x]
F[138,x] = F[115,x]+F[139,x]+F[50,x]
F[139,x] = F[137,x]*F[18,x]
F[140,x] = 2*F[50,x]+F[141,x]+F[145,x]
F[141,x] = F[142,x]*F[18,x]
F[142,x] = F[143,x]
F[143,x] = F[144,x]*F[18,x]
F[144,x] = F[142,x]+F[76,x]
F[145,x] = F[146,x]*F[18,x]
F[146,x] = F[147,x]
F[147,x] = F[114,x]+F[148,x]
F[148,x] = 2*F[50,x]+F[141,x]+F[149,x]
F[149,x] = F[147,x]*F[18,x]
F[150,x] = F[151,x]+F[155,x]
F[151,x] = F[118,x]+F[152,x]+F[154,x]+F[50,x]
F[152,x] = F[153,x]*F[18,x]
F[153,x] = F[116,x]
F[154,x] = 0
F[155,x] = F[156,x]+F[157,x]+F[163,x]+F[164,x]+F[50,x]
F[156,x] = F[124,x]*F[18,x]
F[157,x] = F[158,x]*F[18,x]
F[158,x] = F[159,x]
F[159,x] = F[160,x]+F[161,x]
F[160,x] = F[131,x]
F[161,x] = 3*F[50,x]+F[156,x]+F[162,x]
F[162,x] = F[159,x]*F[18,x]
F[163,x] = 0
F[164,x] = 0
F[165,x] = F[166,x]*F[18,x]
F[166,x] = F[167,x]+F[174,x]
F[167,x] = F[168,x]
F[168,x] = F[169,x]*F[18,x]
F[169,x] = F[170,x]+F[78,x]
F[170,x] = F[171,x]+F[76,x]
F[171,x] = F[172,x]
F[172,x] = F[173,x]*F[18,x]
F[173,x] = F[171,x]+F[76,x]
F[174,x] = F[175,x]
F[175,x] = F[176,x]*F[18,x]
F[176,x] = F[144,x]+F[147,x]
F[177,x] = F[167,x]+F[178,x]
F[178,x] = F[179,x]+F[225,x]+F[50,x]
F[179,x] = F[18,x]*F[180,x]
F[180,x] = F[177,x]+F[181,x]
F[181,x] = F[182,x]+F[199,x]
F[182,x] = F[183,x]+F[189,x]+F[50,x]
F[183,x] = F[18,x]*F[184,x]
F[184,x] = F[185,x]+F[186,x]
F[185,x] = F[167,x]+F[182,x]
F[186,x] = F[187,x]+F[196,x]
F[187,x] = F[188,x]+F[189,x]+F[50,x]
F[188,x] = F[167,x]*F[18,x]
F[189,x] = F[18,x]*F[190,x]
F[190,x] = F[191,x]+F[193,x]
F[191,x] = F[18,x]+F[192,x]
F[192,x] = F[115,x]
F[193,x] = F[192,x]+F[194,x]
F[194,x] = F[195,x]
F[195,x] = F[171,x]*F[18,x]
F[196,x] = F[197,x]
F[197,x] = F[18,x]*F[198,x]
F[198,x] = F[186,x]
F[199,x] = F[200,x]+F[206,x]+F[214,x]+F[50,x]
F[200,x] = F[18,x]*F[201,x]
F[201,x] = F[202,x]+F[203,x]
F[202,x] = F[178,x]+F[199,x]
F[203,x] = F[204,x]+F[222,x]
F[204,x] = F[205,x]+F[206,x]+F[214,x]+F[50,x]
F[205,x] = F[178,x]*F[18,x]
F[206,x] = F[18,x]*F[207,x]
F[207,x] = F[208,x]+F[209,x]
F[208,x] = F[187,x]+F[204,x]
F[209,x] = F[210,x]+F[212,x]
F[210,x] = F[211,x]
F[211,x] = F[18,x]*F[182,x]
F[212,x] = F[213,x]
F[213,x] = F[18,x]*F[199,x]
F[214,x] = F[18,x]*F[215,x]
F[215,x] = F[193,x]+F[216,x]
F[216,x] = F[194,x]+F[217,x]
F[217,x] = F[218,x]
F[218,x] = F[18,x]*F[219,x]
F[219,x] = F[220,x]
F[220,x] = F[18,x]*F[221,x]
F[221,x] = F[171,x]+F[219,x]
F[222,x] = F[223,x]
F[223,x] = F[18,x]*F[224,x]
F[224,x] = F[203,x]
F[225,x] = F[18,x]*F[226,x]
F[226,x] = F[170,x]+F[227,x]
F[227,x] = F[171,x]+F[219,x]
F[228,x] = F[229,x]
F[229,x] = F[0,x]*F[18,x]*F[76,x]
F[230,x] = F[231,x]
F[231,x] = F[18,x]^2*F[0,x]
F[232,x] = F[233,x]
F[233,x] = F[18,x]*F[234,x]
F[234,x] = F[235,x]+F[70,x]
F[235,x] = F[236,x]
F[236,x] = F[0,x]*F[18,x]*F[237,x]*F[78,x]
F[237,x] = F[44,x]+F[76,x]
F[238,x] = F[239,x]*F[304,x]
F[239,x] = F[240,x]+F[41,x]
F[240,x] = F[241,x]+F[298,x]+F[50,x]
F[241,x] = F[18,x]*F[242,x]
F[242,x] = F[239,x]+F[243,x]
F[243,x] = F[244,x]+F[258,x]
F[244,x] = F[245,x]+F[250,x]+F[50,x]
F[245,x] = F[18,x]*F[246,x]
F[246,x] = F[247,x]+F[254,x]
F[247,x] = F[248,x]+F[41,x]
F[248,x] = F[249,x]+F[250,x]+F[50,x]
F[249,x] = F[18,x]*F[247,x]
F[250,x] = F[18,x]*F[251,x]
F[251,x] = F[252,x]
F[252,x] = F[18,x]+F[253,x]
F[253,x] = F[62,x]
F[254,x] = F[253,x]+F[255,x]
F[255,x] = 2*F[50,x]+F[256,x]+F[257,x]
F[256,x] = F[18,x]*F[248,x]
F[257,x] = F[18,x]*F[254,x]
F[258,x] = F[259,x]+F[264,x]+F[270,x]+F[50,x]
F[259,x] = F[18,x]*F[260,x]
F[260,x] = F[261,x]+F[292,x]
F[261,x] = F[240,x]+F[262,x]
F[262,x] = F[263,x]+F[264,x]+F[270,x]+F[50,x]
F[263,x] = F[18,x]*F[261,x]
F[264,x] = F[18,x]*F[265,x]
F[265,x] = F[266,x]+F[283,x]
F[266,x] = F[267,x]+F[268,x]
F[267,x] = F[250,x]+F[50,x]+F[62,x]
F[268,x] = F[264,x]+F[269,x]+F[270,x]+F[50,x]
F[269,x] = F[18,x]*F[240,x]
F[270,x] = F[18,x]*F[271,x]
F[271,x] = F[272,x]
F[272,x] = F[134,x]+F[273,x]
F[273,x] = 2*F[50,x]+F[274,x]+F[278,x]
F[274,x] = F[18,x]*F[275,x]
F[275,x] = F[276,x]
F[276,x] = F[18,x]*F[277,x]
F[277,x] = F[275,x]+F[41,x]
F[278,x] = F[18,x]*F[279,x]
F[279,x] = F[280,x]
F[280,x] = F[253,x]+F[281,x]
F[281,x] = 2*F[50,x]+F[274,x]+F[282,x]
F[282,x] = F[18,x]*F[280,x]
F[283,x] = F[284,x]+F[288,x]
F[284,x] = F[256,x]+F[285,x]+F[287,x]+F[50,x]
F[285,x] = F[18,x]*F[286,x]
F[286,x] = F[254,x]
F[287,x] = 0
F[288,x] = F[289,x]+F[290,x]+F[296,x]+F[297,x]+F[50,x]
F[289,x] = F[18,x]*F[262,x]
F[290,x] = F[18,x]*F[291,x]
F[291,x] = F[292,x]
F[292,x] = F[293,x]+F[294,x]
F[293,x] = F[269,x]
F[294,x] = 3*F[50,x]+F[289,x]+F[295,x]
F[295,x] = F[18,x]*F[292,x]
F[296,x] = 0
F[297,x] = 0
F[298,x] = F[18,x]*F[299,x]
F[299,x] = F[300,x]
F[300,x] = F[167,x]+F[301,x]
F[301,x] = F[302,x]
F[302,x] = F[18,x]*F[303,x]
F[303,x] = F[277,x]+F[280,x]
F[304,x] = 1/F[18,x]*F[305,x]
F[305,x] = F[2,x]
F[306,x] = F[18,x]*F[307,x]*F[36,x]
F[307,x] = F[308,x]+F[309,x]
F[308,x] = F[2,x]*F[78,x]
F[309,x] = F[310,x]
F[310,x] = F[0,x]*F[18,x]*F[311,x]*F[78,x]
F[311,x] = F[74,x]+F[76,x]
F[312,x] = F[2,x]*F[313,x]*F[44,x]
F[313,x] = F[314,x]+F[315,x]
F[314,x] = F[1,x]+F[167,x]
F[315,x] = F[178,x]+F[37,x]
F[316,x] = -F[325,x]+F[317,x]
F[317,x] = 1/F[36,x]*F[318,x]
F[318,x] = -F[321,x]+F[319,x]
F[319,x] = 1/F[18,x]*F[320,x]
F[320,x] = F[33,x]
F[321,x] = F[2,x]*F[322,x]
F[322,x] = F[323,x]+F[324,x]
F[323,x] = F[237,x]*F[36,x]
F[324,x] = F[177,x]*F[44,x]
F[325,x] = -F[326,x]+F[91,x]
F[326,x] = F[327,x]*F[76,x]
F[327,x] = -F[332,x]+F[328,x]
F[328,x] = F[329,x]
F[329,x] = F[0,x]*F[18,x]*F[330,x]
F[330,x] = F[331,x]+F[81,x]
F[331,x] = F[78,x]^3
F[332,x] = F[333,x]
F[333,x] = F[76,x]^2*F[0,x]*F[78,x]
F[334,x] = F[335,x]
F[335,x] = F[18,x]*F[336,x]
F[336,x] = F[337,x]+F[356,x]
F[337,x] = F[0,x]*F[338,x]
F[338,x] = F[339,x]+F[343,x]
F[339,x] = F[10,x]*F[340,x]
F[340,x] = F[0,x]+F[341,x]
F[341,x] = F[342,x]
F[342,x] = F[0,x]*F[18,x]*F[340,x]
F[343,x] = F[344,x]
F[344,x] = F[18,x]*F[345,x]
F[345,x] = F[346,x]+F[347,x]
F[346,x] = F[10,x]*F[16,x]*F[340,x]
F[347,x] = F[348,x]*F[78,x]
F[348,x] = F[349,x]
F[349,x] = F[18,x]*F[350,x]
F[350,x] = F[351,x]+F[352,x]
F[351,x] = F[16,x]*F[340,x]
F[352,x] = F[353,x]
F[353,x] = F[18,x]*F[354,x]
F[354,x] = F[347,x]+F[355,x]
F[355,x] = F[16,x]^2*F[340,x]
F[356,x] = F[357,x]
F[357,x] = F[0,x]*F[10,x]*F[358,x]
F[358,x] = F[359,x]
F[359,x] = F[0,x]*F[18,x]*F[360,x]*F[78,x]
F[360,x] = F[340,x]+F[361,x]
F[361,x] = F[0,x]*F[18,x]
F[362,x] = F[363,x]+F[508,x]
F[363,x] = F[364,x]+F[368,x]
F[364,x] = F[0,x]*F[365,x]
F[365,x] = F[366,x]
F[366,x] = F[0,x]*F[18,x]*F[367,x]
F[367,x] = F[13,x]+F[365,x]
F[368,x] = F[369,x]
F[369,x] = F[0,x]*F[370,x]*F[383,x]
F[370,x] = -F[10,x]+F[371,x]
F[371,x] = 1/F[76,x]*F[372,x]
F[372,x] = -F[380,x]+F[373,x]
F[373,x] = F[374,x]+F[375,x]
F[374,x] = F[10,x]*F[78,x]
F[375,x] = F[376,x]
F[376,x] = F[18,x]*F[377,x]
F[377,x] = F[367,x]+F[378,x]
F[378,x] = F[379,x]
F[379,x] = F[0,x]*F[371,x]*F[76,x]
F[380,x] = F[10,x]+F[381,x]
F[381,x] = F[382,x]
F[382,x] = F[18,x]*F[367,x]
F[383,x] = 1/F[76,x]*F[384,x]
F[384,x] = -F[27,x]+F[385,x]
F[385,x] = 1/F[36,x]*F[386,x]
F[386,x] = F[387,x]
F[387,x] = -F[506,x]+F[388,x]
F[388,x] = -F[391,x]+F[389,x]
F[389,x] = 1/F[18,x]*F[390,x]
F[390,x] = F[33,x]
F[391,x] = F[392,x]+F[499,x]
F[392,x] = F[2,x]*F[393,x]
F[393,x] = F[394,x]+F[81,x]
F[394,x] = F[395,x]+F[436,x]
F[395,x] = F[396,x]
F[396,x] = F[18,x]*F[397,x]
F[397,x] = F[398,x]+F[399,x]
F[398,x] = F[18,x]+F[395,x]
F[399,x] = F[400,x]+F[412,x]
F[400,x] = F[401,x]
F[401,x] = F[18,x]*F[402,x]
F[402,x] = F[403,x]+F[406,x]
F[403,x] = F[18,x]+F[404,x]
F[404,x] = F[405,x]
F[405,x] = F[18,x]*F[403,x]
F[406,x] = F[407,x]+F[409,x]
F[407,x] = F[408,x]
F[408,x] = x^2
F[409,x] = 2*F[50,x]+F[410,x]+F[411,x]
F[410,x] = F[18,x]*F[404,x]
F[411,x] = F[18,x]*F[406,x]
F[412,x] = 2*F[50,x]+F[413,x]+F[418,x]
F[413,x] = F[18,x]*F[414,x]
F[414,x] = F[415,x]+F[431,x]
F[415,x] = F[395,x]+F[416,x]
F[416,x] = 2*F[50,x]+F[417,x]+F[418,x]
F[417,x] = F[18,x]*F[415,x]
F[418,x] = F[18,x]*F[419,x]
F[419,x] = F[420,x]+F[423,x]
F[420,x] = F[407,x]+F[421,x]
F[421,x] = 2*F[50,x]+F[418,x]+F[422,x]
F[422,x] = F[18,x]*F[395,x]
F[423,x] = F[424,x]+F[427,x]
F[424,x] = 2*F[50,x]+F[410,x]+F[425,x]
F[425,x] = F[18,x]*F[426,x]
F[426,x] = F[406,x]
F[427,x] = 2*F[50,x]+F[428,x]+F[429,x]+F[435,x]
F[428,x] = F[18,x]*F[416,x]
F[429,x] = F[18,x]*F[430,x]
F[430,x] = F[431,x]
F[431,x] = F[432,x]+F[433,x]
F[432,x] = F[422,x]
F[433,x] = 3*F[50,x]+F[428,x]+F[434,x]
F[434,x] = F[18,x]*F[431,x]
F[435,x] = 0
F[436,x] = 2*F[50,x]+F[437,x]+F[494,x]
F[437,x] = F[18,x]*F[438,x]
F[438,x] = F[439,x]+F[440,x]
F[439,x] = F[436,x]+F[79,x]
F[440,x] = F[441,x]+F[455,x]
F[441,x] = 2*F[50,x]+F[442,x]+F[447,x]
F[442,x] = F[18,x]*F[443,x]
F[443,x] = F[444,x]+F[451,x]
F[444,x] = F[445,x]+F[79,x]
F[445,x] = 2*F[50,x]+F[446,x]+F[447,x]
F[446,x] = F[18,x]*F[444,x]
F[447,x] = F[18,x]*F[448,x]
F[448,x] = F[407,x]+F[449,x]
F[449,x] = F[450,x]
F[450,x] = F[18,x]*F[79,x]
F[451,x] = F[449,x]+F[452,x]
F[452,x] = 3*F[50,x]+F[453,x]+F[454,x]
F[453,x] = F[18,x]*F[445,x]
F[454,x] = F[18,x]*F[451,x]
F[455,x] = 2*F[50,x]+F[456,x]+F[461,x]+F[467,x]
F[456,x] = F[18,x]*F[457,x]
F[457,x] = F[458,x]+F[488,x]
F[458,x] = F[436,x]+F[459,x]
F[459,x] = 2*F[50,x]+F[460,x]+F[461,x]+F[467,x]
F[460,x] = F[18,x]*F[458,x]
F[461,x] = F[18,x]*F[462,x]
F[462,x] = F[463,x]+F[479,x]
F[463,x] = F[464,x]+F[465,x]
F[464,x] = 2*F[50,x]+F[447,x]+F[450,x]
F[465,x] = 2*F[50,x]+F[461,x]+F[466,x]+F[467,x]
F[466,x] = F[18,x]*F[436,x]
F[467,x] = F[18,x]*F[468,x]
F[468,x] = F[424,x]+F[469,x]
F[469,x] = 3*F[50,x]+F[470,x]+F[474,x]
F[470,x] = F[18,x]*F[471,x]
F[471,x] = F[472,x]
F[472,x] = F[18,x]*F[473,x]
F[473,x] = F[471,x]+F[79,x]
F[474,x] = F[18,x]*F[475,x]
F[475,x] = F[476,x]
F[476,x] = F[449,x]+F[477,x]
F[477,x] = 3*F[50,x]+F[470,x]+F[478,x]
F[478,x] = F[18,x]*F[476,x]
F[479,x] = F[480,x]+F[484,x]
F[480,x] = 2*F[50,x]+F[453,x]+F[481,x]+F[483,x]
F[481,x] = F[18,x]*F[482,x]
F[482,x] = F[451,x]
F[483,x] = 0
F[484,x] = 2*F[50,x]+F[485,x]+F[486,x]+F[492,x]+F[493,x]
F[485,x] = F[18,x]*F[459,x]
F[486,x] = F[18,x]*F[487,x]
F[487,x] = F[488,x]
F[488,x] = F[489,x]+F[490,x]
F[489,x] = F[466,x]
F[490,x] = 4*F[50,x]+F[485,x]+F[491,x]
F[491,x] = F[18,x]*F[488,x]
F[492,x] = 0
F[493,x] = 0
F[494,x] = F[18,x]*F[495,x]
F[495,x] = F[400,x]+F[496,x]
F[496,x] = F[497,x]
F[497,x] = F[18,x]*F[498,x]
F[498,x] = F[473,x]+F[476,x]
F[499,x] = F[500,x]
F[500,x] = F[36,x]*F[501,x]
F[501,x] = F[502,x]
F[502,x] = F[0,x]*F[18,x]*F[503,x]*F[78,x]
F[503,x] = F[504,x]+F[81,x]
F[504,x] = F[505,x]
F[505,x] = x^2
F[506,x] = F[2,x]*F[507,x]
F[507,x] = F[177,x]+F[99,x]
F[508,x] = F[509,x]
F[509,x] = F[0,x]*F[510,x]
F[510,x] = -F[518,x]+F[511,x]
F[511,x] = 1/F[18,x]*F[512,x]
F[512,x] = F[513,x]
F[513,x] = F[18,x]*F[341,x]*F[514,x]
F[514,x] = F[515,x]+F[516,x]
F[515,x] = F[2,x]*F[78,x]
F[516,x] = F[517,x]
F[517,x] = F[18,x]*F[377,x]
F[518,x] = F[519,x]
F[519,x] = F[10,x]*F[341,x]*F[76,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_{18}\! \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_{18}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{19}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right) F_{2}\! \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_{18}\! \left(x \right)
F_{13}\! \left(x \right) = \frac{F_{14}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{14}\! \left(x \right) = F_{15}\! \left(x \right)
F_{15}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = \frac{F_{17}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{17}\! \left(x \right) = F_{2}\! \left(x \right)
F_{18}\! \left(x \right) = x
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{18}\! \left(x \right) F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)+F_{362}\! \left(x \right)
F_{22}\! \left(x \right) = F_{23}\! \left(x \right)+F_{334}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)+F_{25}\! \left(x \right)
F_{24}\! \left(x \right) = F_{0}\! \left(x \right) F_{13}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{0}\! \left(x \right) F_{10}\! \left(x \right) F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = -F_{316}\! \left(x \right)+F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = \frac{F_{29}\! \left(x \right)}{F_{36}\! \left(x \right)}
F_{29}\! \left(x \right) = -F_{312}\! \left(x \right)+F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = -F_{306}\! \left(x \right)+F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = \frac{F_{32}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{18}\! \left(x \right) F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = F_{238}\! \left(x \right)+F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{36}\! \left(x \right) F_{68}\! \left(x \right)
F_{36}\! \left(x \right) = F_{1}\! \left(x \right)+F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{18}\! \left(x \right) F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{36}\! \left(x \right)+F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)+F_{49}\! \left(x \right)
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{18}\! \left(x \right) F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{44}\! \left(x \right)+F_{45}\! \left(x \right)
F_{44}\! \left(x \right) = F_{1}\! \left(x \right)+F_{41}\! \left(x \right)
F_{45}\! \left(x \right) = F_{18}\! \left(x \right)+F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{18}\! \left(x \right) F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{45}\! \left(x \right)
F_{49}\! \left(x \right) = F_{50}\! \left(x \right)+F_{51}\! \left(x \right)+F_{57}\! \left(x \right)
F_{50}\! \left(x \right) = 0
F_{51}\! \left(x \right) = F_{18}\! \left(x \right) F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{53}\! \left(x \right)+F_{54}\! \left(x \right)
F_{53}\! \left(x \right) = F_{37}\! \left(x \right)+F_{49}\! \left(x \right)
F_{54}\! \left(x \right) = F_{55}\! \left(x \right)+F_{65}\! \left(x \right)
F_{55}\! \left(x \right) = F_{50}\! \left(x \right)+F_{56}\! \left(x \right)+F_{57}\! \left(x \right)
F_{56}\! \left(x \right) = F_{18}\! \left(x \right) F_{37}\! \left(x \right)
F_{57}\! \left(x \right) = F_{18}\! \left(x \right) F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{59}\! \left(x \right)+F_{60}\! \left(x \right)
F_{59}\! \left(x \right) = F_{18}\! \left(x \right)+F_{55}\! \left(x \right)
F_{60}\! \left(x \right) = F_{61}\! \left(x \right)+F_{63}\! \left(x \right)
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{18}\! \left(x \right) F_{41}\! \left(x \right)
F_{63}\! \left(x \right) = F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{18}\! \left(x \right) F_{49}\! \left(x \right)
F_{65}\! \left(x \right) = F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{18}\! \left(x \right) F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{54}\! \left(x \right)
F_{68}\! \left(x \right) = F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{18}\! \left(x \right) F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{232}\! \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_{0}\! \left(x \right) F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{74}\! \left(x \right)+F_{75}\! \left(x \right)
F_{74}\! \left(x \right) = F_{1}\! \left(x \right)+F_{18}\! \left(x \right)
F_{75}\! \left(x \right) = F_{76}\! \left(x \right)+F_{79}\! \left(x \right)
F_{76}\! \left(x \right) = F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{18}\! \left(x \right) F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{1}\! \left(x \right)+F_{76}\! \left(x \right)
F_{79}\! \left(x \right) = F_{50}\! \left(x \right)+F_{80}\! \left(x \right)+F_{82}\! \left(x \right)
F_{80}\! \left(x \right) = F_{18}\! \left(x \right) F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{18}\! \left(x \right)+F_{79}\! \left(x \right)
F_{82}\! \left(x \right) = F_{18}\! \left(x \right) F_{76}\! \left(x \right)
F_{83}\! \left(x \right) = F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{230}\! \left(x \right)+F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{228}\! \left(x \right)+F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{41}\! \left(x \right)+F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{18}\! \left(x \right) F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{90}\! \left(x \right)+F_{91}\! \left(x \right)
F_{90}\! \left(x \right) = F_{78} \left(x \right)^{2} F_{2}\! \left(x \right)
F_{91}\! \left(x \right) = \frac{F_{92}\! \left(x \right)}{F_{36}\! \left(x \right)}
F_{92}\! \left(x \right) = F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = -F_{96}\! \left(x \right)+F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = \frac{F_{95}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{95}\! \left(x \right) = F_{33}\! \left(x \right)
F_{96}\! \left(x \right) = F_{2}\! \left(x \right) F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{177}\! \left(x \right)+F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{78}\! \left(x \right) F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right)+F_{78}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)+F_{37}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right)+F_{165}\! \left(x \right)+F_{50}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right) F_{18}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right)+F_{105}\! \left(x \right)
F_{104}\! \left(x \right) = F_{101}\! \left(x \right)+F_{76}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x \right)+F_{120}\! \left(x \right)
F_{106}\! \left(x \right) = F_{107}\! \left(x \right)+F_{112}\! \left(x \right)+F_{50}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right) F_{18}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)+F_{116}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right)+F_{76}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right)+F_{112}\! \left(x \right)+F_{50}\! \left(x \right)
F_{111}\! \left(x \right) = F_{109}\! \left(x \right) F_{18}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right) F_{18}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right)+F_{18}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right)
F_{115}\! \left(x \right) = F_{18}\! \left(x \right) F_{76}\! \left(x \right)
F_{116}\! \left(x \right) = F_{114}\! \left(x \right)+F_{117}\! \left(x \right)
F_{117}\! \left(x \right) = 2 F_{50}\! \left(x \right)+F_{118}\! \left(x \right)+F_{119}\! \left(x \right)
F_{118}\! \left(x \right) = F_{110}\! \left(x \right) F_{18}\! \left(x \right)
F_{119}\! \left(x \right) = F_{116}\! \left(x \right) F_{18}\! \left(x \right)
F_{120}\! \left(x \right) = F_{121}\! \left(x \right)+F_{126}\! \left(x \right)+F_{132}\! \left(x \right)+F_{50}\! \left(x \right)
F_{121}\! \left(x \right) = F_{122}\! \left(x \right) F_{18}\! \left(x \right)
F_{122}\! \left(x \right) = F_{123}\! \left(x \right)+F_{159}\! \left(x \right)
F_{123}\! \left(x \right) = F_{101}\! \left(x \right)+F_{124}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)+F_{126}\! \left(x \right)+F_{132}\! \left(x \right)+F_{50}\! \left(x \right)
F_{125}\! \left(x \right) = F_{123}\! \left(x \right) F_{18}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right) F_{18}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right)+F_{150}\! \left(x \right)
F_{128}\! \left(x \right) = F_{129}\! \left(x \right)+F_{130}\! \left(x \right)
F_{129}\! \left(x \right) = F_{112}\! \left(x \right)+F_{115}\! \left(x \right)+F_{50}\! \left(x \right)
F_{130}\! \left(x \right) = F_{126}\! \left(x \right)+F_{131}\! \left(x \right)+F_{132}\! \left(x \right)+F_{50}\! \left(x \right)
F_{131}\! \left(x \right) = F_{101}\! \left(x \right) F_{18}\! \left(x \right)
F_{132}\! \left(x \right) = F_{133}\! \left(x \right) F_{18}\! \left(x \right)
F_{133}\! \left(x \right) = F_{134}\! \left(x \right)+F_{140}\! \left(x \right)
F_{134}\! \left(x \right) = F_{115}\! \left(x \right)+F_{135}\! \left(x \right)+F_{50}\! \left(x \right)
F_{135}\! \left(x \right) = F_{136}\! \left(x \right) F_{18}\! \left(x \right)
F_{136}\! \left(x \right) = F_{137}\! \left(x \right)
F_{137}\! \left(x \right) = F_{138}\! \left(x \right)+F_{18}\! \left(x \right)
F_{138}\! \left(x \right) = F_{115}\! \left(x \right)+F_{139}\! \left(x \right)+F_{50}\! \left(x \right)
F_{139}\! \left(x \right) = F_{137}\! \left(x \right) F_{18}\! \left(x \right)
F_{140}\! \left(x \right) = 2 F_{50}\! \left(x \right)+F_{141}\! \left(x \right)+F_{145}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right) F_{18}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right) F_{18}\! \left(x \right)
F_{144}\! \left(x \right) = F_{142}\! \left(x \right)+F_{76}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right) F_{18}\! \left(x \right)
F_{146}\! \left(x \right) = F_{147}\! \left(x \right)
F_{147}\! \left(x \right) = F_{114}\! \left(x \right)+F_{148}\! \left(x \right)
F_{148}\! \left(x \right) = 2 F_{50}\! \left(x \right)+F_{141}\! \left(x \right)+F_{149}\! \left(x \right)
F_{149}\! \left(x \right) = F_{147}\! \left(x \right) F_{18}\! \left(x \right)
F_{150}\! \left(x \right) = F_{151}\! \left(x \right)+F_{155}\! \left(x \right)
F_{151}\! \left(x \right) = F_{118}\! \left(x \right)+F_{152}\! \left(x \right)+F_{154}\! \left(x \right)+F_{50}\! \left(x \right)
F_{152}\! \left(x \right) = F_{153}\! \left(x \right) F_{18}\! \left(x \right)
F_{153}\! \left(x \right) = F_{116}\! \left(x \right)
F_{154}\! \left(x \right) = 0
F_{155}\! \left(x \right) = F_{156}\! \left(x \right)+F_{157}\! \left(x \right)+F_{163}\! \left(x \right)+F_{164}\! \left(x \right)+F_{50}\! \left(x \right)
F_{156}\! \left(x \right) = F_{124}\! \left(x \right) F_{18}\! \left(x \right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right) F_{18}\! \left(x \right)
F_{158}\! \left(x \right) = F_{159}\! \left(x \right)
F_{159}\! \left(x \right) = F_{160}\! \left(x \right)+F_{161}\! \left(x \right)
F_{160}\! \left(x \right) = F_{131}\! \left(x \right)
F_{161}\! \left(x \right) = 3 F_{50}\! \left(x \right)+F_{156}\! \left(x \right)+F_{162}\! \left(x \right)
F_{162}\! \left(x \right) = F_{159}\! \left(x \right) F_{18}\! \left(x \right)
F_{163}\! \left(x \right) = 0
F_{164}\! \left(x \right) = 0
F_{165}\! \left(x \right) = F_{166}\! \left(x \right) F_{18}\! \left(x \right)
F_{166}\! \left(x \right) = F_{167}\! \left(x \right)+F_{174}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right)
F_{168}\! \left(x \right) = F_{169}\! \left(x \right) F_{18}\! \left(x \right)
F_{169}\! \left(x \right) = F_{170}\! \left(x \right)+F_{78}\! \left(x \right)
F_{170}\! \left(x \right) = F_{171}\! \left(x \right)+F_{76}\! \left(x \right)
F_{171}\! \left(x \right) = F_{172}\! \left(x \right)
F_{172}\! \left(x \right) = F_{173}\! \left(x \right) F_{18}\! \left(x \right)
F_{173}\! \left(x \right) = F_{171}\! \left(x \right)+F_{76}\! \left(x \right)
F_{174}\! \left(x \right) = F_{175}\! \left(x \right)
F_{175}\! \left(x \right) = F_{176}\! \left(x \right) F_{18}\! \left(x \right)
F_{176}\! \left(x \right) = F_{144}\! \left(x \right)+F_{147}\! \left(x \right)
F_{177}\! \left(x \right) = F_{167}\! \left(x \right)+F_{178}\! \left(x \right)
F_{178}\! \left(x \right) = F_{179}\! \left(x \right)+F_{225}\! \left(x \right)+F_{50}\! \left(x \right)
F_{179}\! \left(x \right) = F_{18}\! \left(x \right) F_{180}\! \left(x \right)
F_{180}\! \left(x \right) = F_{177}\! \left(x \right)+F_{181}\! \left(x \right)
F_{181}\! \left(x \right) = F_{182}\! \left(x \right)+F_{199}\! \left(x \right)
F_{182}\! \left(x \right) = F_{183}\! \left(x \right)+F_{189}\! \left(x \right)+F_{50}\! \left(x \right)
F_{183}\! \left(x \right) = F_{18}\! \left(x \right) F_{184}\! \left(x \right)
F_{184}\! \left(x \right) = F_{185}\! \left(x \right)+F_{186}\! \left(x \right)
F_{185}\! \left(x \right) = F_{167}\! \left(x \right)+F_{182}\! \left(x \right)
F_{186}\! \left(x \right) = F_{187}\! \left(x \right)+F_{196}\! \left(x \right)
F_{187}\! \left(x \right) = F_{188}\! \left(x \right)+F_{189}\! \left(x \right)+F_{50}\! \left(x \right)
F_{188}\! \left(x \right) = F_{167}\! \left(x \right) F_{18}\! \left(x \right)
F_{189}\! \left(x \right) = F_{18}\! \left(x \right) F_{190}\! \left(x \right)
F_{190}\! \left(x \right) = F_{191}\! \left(x \right)+F_{193}\! \left(x \right)
F_{191}\! \left(x \right) = F_{18}\! \left(x \right)+F_{192}\! \left(x \right)
F_{192}\! \left(x \right) = F_{115}\! \left(x \right)
F_{193}\! \left(x \right) = F_{192}\! \left(x \right)+F_{194}\! \left(x \right)
F_{194}\! \left(x \right) = F_{195}\! \left(x \right)
F_{195}\! \left(x \right) = F_{171}\! \left(x \right) F_{18}\! \left(x \right)
F_{196}\! \left(x \right) = F_{197}\! \left(x \right)
F_{197}\! \left(x \right) = F_{18}\! \left(x \right) F_{198}\! \left(x \right)
F_{198}\! \left(x \right) = F_{186}\! \left(x \right)
F_{199}\! \left(x \right) = F_{200}\! \left(x \right)+F_{206}\! \left(x \right)+F_{214}\! \left(x \right)+F_{50}\! \left(x \right)
F_{200}\! \left(x \right) = F_{18}\! \left(x \right) F_{201}\! \left(x \right)
F_{201}\! \left(x \right) = F_{202}\! \left(x \right)+F_{203}\! \left(x \right)
F_{202}\! \left(x \right) = F_{178}\! \left(x \right)+F_{199}\! \left(x \right)
F_{203}\! \left(x \right) = F_{204}\! \left(x \right)+F_{222}\! \left(x \right)
F_{204}\! \left(x \right) = F_{205}\! \left(x \right)+F_{206}\! \left(x \right)+F_{214}\! \left(x \right)+F_{50}\! \left(x \right)
F_{205}\! \left(x \right) = F_{178}\! \left(x \right) F_{18}\! \left(x \right)
F_{206}\! \left(x \right) = F_{18}\! \left(x \right) F_{207}\! \left(x \right)
F_{207}\! \left(x \right) = F_{208}\! \left(x \right)+F_{209}\! \left(x \right)
F_{208}\! \left(x \right) = F_{187}\! \left(x \right)+F_{204}\! \left(x \right)
F_{209}\! \left(x \right) = F_{210}\! \left(x \right)+F_{212}\! \left(x \right)
F_{210}\! \left(x \right) = F_{211}\! \left(x \right)
F_{211}\! \left(x \right) = F_{18}\! \left(x \right) F_{182}\! \left(x \right)
F_{212}\! \left(x \right) = F_{213}\! \left(x \right)
F_{213}\! \left(x \right) = F_{18}\! \left(x \right) F_{199}\! \left(x \right)
F_{214}\! \left(x \right) = F_{18}\! \left(x \right) F_{215}\! \left(x \right)
F_{215}\! \left(x \right) = F_{193}\! \left(x \right)+F_{216}\! \left(x \right)
F_{216}\! \left(x \right) = F_{194}\! \left(x \right)+F_{217}\! \left(x \right)
F_{217}\! \left(x \right) = F_{218}\! \left(x \right)
F_{218}\! \left(x \right) = F_{18}\! \left(x \right) F_{219}\! \left(x \right)
F_{219}\! \left(x \right) = F_{220}\! \left(x \right)
F_{220}\! \left(x \right) = F_{18}\! \left(x \right) F_{221}\! \left(x \right)
F_{221}\! \left(x \right) = F_{171}\! \left(x \right)+F_{219}\! \left(x \right)
F_{222}\! \left(x \right) = F_{223}\! \left(x \right)
F_{223}\! \left(x \right) = F_{18}\! \left(x \right) F_{224}\! \left(x \right)
F_{224}\! \left(x \right) = F_{203}\! \left(x \right)
F_{225}\! \left(x \right) = F_{18}\! \left(x \right) F_{226}\! \left(x \right)
F_{226}\! \left(x \right) = F_{170}\! \left(x \right)+F_{227}\! \left(x \right)
F_{227}\! \left(x \right) = F_{171}\! \left(x \right)+F_{219}\! \left(x \right)
F_{228}\! \left(x \right) = F_{229}\! \left(x \right)
F_{229}\! \left(x \right) = F_{0}\! \left(x \right) F_{18}\! \left(x \right) F_{76}\! \left(x \right)
F_{230}\! \left(x \right) = F_{231}\! \left(x \right)
F_{231}\! \left(x \right) = F_{18} \left(x \right)^{2} F_{0}\! \left(x \right)
F_{232}\! \left(x \right) = F_{233}\! \left(x \right)
F_{233}\! \left(x \right) = F_{18}\! \left(x \right) F_{234}\! \left(x \right)
F_{234}\! \left(x \right) = F_{235}\! \left(x \right)+F_{70}\! \left(x \right)
F_{235}\! \left(x \right) = F_{236}\! \left(x \right)
F_{236}\! \left(x \right) = F_{0}\! \left(x \right) F_{18}\! \left(x \right) F_{237}\! \left(x \right) F_{78}\! \left(x \right)
F_{237}\! \left(x \right) = F_{44}\! \left(x \right)+F_{76}\! \left(x \right)
F_{238}\! \left(x \right) = F_{239}\! \left(x \right) F_{304}\! \left(x \right)
F_{239}\! \left(x \right) = F_{240}\! \left(x \right)+F_{41}\! \left(x \right)
F_{240}\! \left(x \right) = F_{241}\! \left(x \right)+F_{298}\! \left(x \right)+F_{50}\! \left(x \right)
F_{241}\! \left(x \right) = F_{18}\! \left(x \right) F_{242}\! \left(x \right)
F_{242}\! \left(x \right) = F_{239}\! \left(x \right)+F_{243}\! \left(x \right)
F_{243}\! \left(x \right) = F_{244}\! \left(x \right)+F_{258}\! \left(x \right)
F_{244}\! \left(x \right) = F_{245}\! \left(x \right)+F_{250}\! \left(x \right)+F_{50}\! \left(x \right)
F_{245}\! \left(x \right) = F_{18}\! \left(x \right) F_{246}\! \left(x \right)
F_{246}\! \left(x \right) = F_{247}\! \left(x \right)+F_{254}\! \left(x \right)
F_{247}\! \left(x \right) = F_{248}\! \left(x \right)+F_{41}\! \left(x \right)
F_{248}\! \left(x \right) = F_{249}\! \left(x \right)+F_{250}\! \left(x \right)+F_{50}\! \left(x \right)
F_{249}\! \left(x \right) = F_{18}\! \left(x \right) F_{247}\! \left(x \right)
F_{250}\! \left(x \right) = F_{18}\! \left(x \right) F_{251}\! \left(x \right)
F_{251}\! \left(x \right) = F_{252}\! \left(x \right)
F_{252}\! \left(x \right) = F_{18}\! \left(x \right)+F_{253}\! \left(x \right)
F_{253}\! \left(x \right) = F_{62}\! \left(x \right)
F_{254}\! \left(x \right) = F_{253}\! \left(x \right)+F_{255}\! \left(x \right)
F_{255}\! \left(x \right) = 2 F_{50}\! \left(x \right)+F_{256}\! \left(x \right)+F_{257}\! \left(x \right)
F_{256}\! \left(x \right) = F_{18}\! \left(x \right) F_{248}\! \left(x \right)
F_{257}\! \left(x \right) = F_{18}\! \left(x \right) F_{254}\! \left(x \right)
F_{258}\! \left(x \right) = F_{259}\! \left(x \right)+F_{264}\! \left(x \right)+F_{270}\! \left(x \right)+F_{50}\! \left(x \right)
F_{259}\! \left(x \right) = F_{18}\! \left(x \right) F_{260}\! \left(x \right)
F_{260}\! \left(x \right) = F_{261}\! \left(x \right)+F_{292}\! \left(x \right)
F_{261}\! \left(x \right) = F_{240}\! \left(x \right)+F_{262}\! \left(x \right)
F_{262}\! \left(x \right) = F_{263}\! \left(x \right)+F_{264}\! \left(x \right)+F_{270}\! \left(x \right)+F_{50}\! \left(x \right)
F_{263}\! \left(x \right) = F_{18}\! \left(x \right) F_{261}\! \left(x \right)
F_{264}\! \left(x \right) = F_{18}\! \left(x \right) F_{265}\! \left(x \right)
F_{265}\! \left(x \right) = F_{266}\! \left(x \right)+F_{283}\! \left(x \right)
F_{266}\! \left(x \right) = F_{267}\! \left(x \right)+F_{268}\! \left(x \right)
F_{267}\! \left(x \right) = F_{250}\! \left(x \right)+F_{50}\! \left(x \right)+F_{62}\! \left(x \right)
F_{268}\! \left(x \right) = F_{264}\! \left(x \right)+F_{269}\! \left(x \right)+F_{270}\! \left(x \right)+F_{50}\! \left(x \right)
F_{269}\! \left(x \right) = F_{18}\! \left(x \right) F_{240}\! \left(x \right)
F_{270}\! \left(x \right) = F_{18}\! \left(x \right) F_{271}\! \left(x \right)
F_{271}\! \left(x \right) = F_{272}\! \left(x \right)
F_{272}\! \left(x \right) = F_{134}\! \left(x \right)+F_{273}\! \left(x \right)
F_{273}\! \left(x \right) = 2 F_{50}\! \left(x \right)+F_{274}\! \left(x \right)+F_{278}\! \left(x \right)
F_{274}\! \left(x \right) = F_{18}\! \left(x \right) F_{275}\! \left(x \right)
F_{275}\! \left(x \right) = F_{276}\! \left(x \right)
F_{276}\! \left(x \right) = F_{18}\! \left(x \right) F_{277}\! \left(x \right)
F_{277}\! \left(x \right) = F_{275}\! \left(x \right)+F_{41}\! \left(x \right)
F_{278}\! \left(x \right) = F_{18}\! \left(x \right) F_{279}\! \left(x \right)
F_{279}\! \left(x \right) = F_{280}\! \left(x \right)
F_{280}\! \left(x \right) = F_{253}\! \left(x \right)+F_{281}\! \left(x \right)
F_{281}\! \left(x \right) = 2 F_{50}\! \left(x \right)+F_{274}\! \left(x \right)+F_{282}\! \left(x \right)
F_{282}\! \left(x \right) = F_{18}\! \left(x \right) F_{280}\! \left(x \right)
F_{283}\! \left(x \right) = F_{284}\! \left(x \right)+F_{288}\! \left(x \right)
F_{284}\! \left(x \right) = F_{256}\! \left(x \right)+F_{285}\! \left(x \right)+F_{287}\! \left(x \right)+F_{50}\! \left(x \right)
F_{285}\! \left(x \right) = F_{18}\! \left(x \right) F_{286}\! \left(x \right)
F_{286}\! \left(x \right) = F_{254}\! \left(x \right)
F_{287}\! \left(x \right) = 0
F_{288}\! \left(x \right) = F_{289}\! \left(x \right)+F_{290}\! \left(x \right)+F_{296}\! \left(x \right)+F_{297}\! \left(x \right)+F_{50}\! \left(x \right)
F_{289}\! \left(x \right) = F_{18}\! \left(x \right) F_{262}\! \left(x \right)
F_{290}\! \left(x \right) = F_{18}\! \left(x \right) F_{291}\! \left(x \right)
F_{291}\! \left(x \right) = F_{292}\! \left(x \right)
F_{292}\! \left(x \right) = F_{293}\! \left(x \right)+F_{294}\! \left(x \right)
F_{293}\! \left(x \right) = F_{269}\! \left(x \right)
F_{294}\! \left(x \right) = 3 F_{50}\! \left(x \right)+F_{289}\! \left(x \right)+F_{295}\! \left(x \right)
F_{295}\! \left(x \right) = F_{18}\! \left(x \right) F_{292}\! \left(x \right)
F_{296}\! \left(x \right) = 0
F_{297}\! \left(x \right) = 0
F_{298}\! \left(x \right) = F_{18}\! \left(x \right) F_{299}\! \left(x \right)
F_{299}\! \left(x \right) = F_{300}\! \left(x \right)
F_{300}\! \left(x \right) = F_{167}\! \left(x \right)+F_{301}\! \left(x \right)
F_{301}\! \left(x \right) = F_{302}\! \left(x \right)
F_{302}\! \left(x \right) = F_{18}\! \left(x \right) F_{303}\! \left(x \right)
F_{303}\! \left(x \right) = F_{277}\! \left(x \right)+F_{280}\! \left(x \right)
F_{304}\! \left(x \right) = \frac{F_{305}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{305}\! \left(x \right) = F_{2}\! \left(x \right)
F_{306}\! \left(x \right) = F_{18}\! \left(x \right) F_{307}\! \left(x \right) F_{36}\! \left(x \right)
F_{307}\! \left(x \right) = F_{308}\! \left(x \right)+F_{309}\! \left(x \right)
F_{308}\! \left(x \right) = F_{2}\! \left(x \right) F_{78}\! \left(x \right)
F_{309}\! \left(x \right) = F_{310}\! \left(x \right)
F_{310}\! \left(x \right) = F_{0}\! \left(x \right) F_{18}\! \left(x \right) F_{311}\! \left(x \right) F_{78}\! \left(x \right)
F_{311}\! \left(x \right) = F_{74}\! \left(x \right)+F_{76}\! \left(x \right)
F_{312}\! \left(x \right) = F_{2}\! \left(x \right) F_{313}\! \left(x \right) F_{44}\! \left(x \right)
F_{313}\! \left(x \right) = F_{314}\! \left(x \right)+F_{315}\! \left(x \right)
F_{314}\! \left(x \right) = F_{1}\! \left(x \right)+F_{167}\! \left(x \right)
F_{315}\! \left(x \right) = F_{178}\! \left(x \right)+F_{37}\! \left(x \right)
F_{316}\! \left(x \right) = -F_{325}\! \left(x \right)+F_{317}\! \left(x \right)
F_{317}\! \left(x \right) = \frac{F_{318}\! \left(x \right)}{F_{36}\! \left(x \right)}
F_{318}\! \left(x \right) = -F_{321}\! \left(x \right)+F_{319}\! \left(x \right)
F_{319}\! \left(x \right) = \frac{F_{320}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{320}\! \left(x \right) = F_{33}\! \left(x \right)
F_{321}\! \left(x \right) = F_{2}\! \left(x \right) F_{322}\! \left(x \right)
F_{322}\! \left(x \right) = F_{323}\! \left(x \right)+F_{324}\! \left(x \right)
F_{323}\! \left(x \right) = F_{237}\! \left(x \right) F_{36}\! \left(x \right)
F_{324}\! \left(x \right) = F_{177}\! \left(x \right) F_{44}\! \left(x \right)
F_{325}\! \left(x \right) = -F_{326}\! \left(x \right)+F_{91}\! \left(x \right)
F_{326}\! \left(x \right) = F_{327}\! \left(x \right) F_{76}\! \left(x \right)
F_{327}\! \left(x \right) = -F_{332}\! \left(x \right)+F_{328}\! \left(x \right)
F_{328}\! \left(x \right) = F_{329}\! \left(x \right)
F_{329}\! \left(x \right) = F_{0}\! \left(x \right) F_{18}\! \left(x \right) F_{330}\! \left(x \right)
F_{330}\! \left(x \right) = F_{331}\! \left(x \right)+F_{81}\! \left(x \right)
F_{331}\! \left(x \right) = F_{78} \left(x \right)^{3}
F_{332}\! \left(x \right) = F_{333}\! \left(x \right)
F_{333}\! \left(x \right) = F_{76} \left(x \right)^{2} F_{0}\! \left(x \right) F_{78}\! \left(x \right)
F_{334}\! \left(x \right) = F_{335}\! \left(x \right)
F_{335}\! \left(x \right) = F_{18}\! \left(x \right) F_{336}\! \left(x \right)
F_{336}\! \left(x \right) = F_{337}\! \left(x \right)+F_{356}\! \left(x \right)
F_{337}\! \left(x \right) = F_{0}\! \left(x \right) F_{338}\! \left(x \right)
F_{338}\! \left(x \right) = F_{339}\! \left(x \right)+F_{343}\! \left(x \right)
F_{339}\! \left(x \right) = F_{10}\! \left(x \right) F_{340}\! \left(x \right)
F_{340}\! \left(x \right) = F_{0}\! \left(x \right)+F_{341}\! \left(x \right)
F_{341}\! \left(x \right) = F_{342}\! \left(x \right)
F_{342}\! \left(x \right) = F_{0}\! \left(x \right) F_{18}\! \left(x \right) F_{340}\! \left(x \right)
F_{343}\! \left(x \right) = F_{344}\! \left(x \right)
F_{344}\! \left(x \right) = F_{18}\! \left(x \right) F_{345}\! \left(x \right)
F_{345}\! \left(x \right) = F_{346}\! \left(x \right)+F_{347}\! \left(x \right)
F_{346}\! \left(x \right) = F_{10}\! \left(x \right) F_{16}\! \left(x \right) F_{340}\! \left(x \right)
F_{347}\! \left(x \right) = F_{348}\! \left(x \right) F_{78}\! \left(x \right)
F_{348}\! \left(x \right) = F_{349}\! \left(x \right)
F_{349}\! \left(x \right) = F_{18}\! \left(x \right) F_{350}\! \left(x \right)
F_{350}\! \left(x \right) = F_{351}\! \left(x \right)+F_{352}\! \left(x \right)
F_{351}\! \left(x \right) = F_{16}\! \left(x \right) F_{340}\! \left(x \right)
F_{352}\! \left(x \right) = F_{353}\! \left(x \right)
F_{353}\! \left(x \right) = F_{18}\! \left(x \right) F_{354}\! \left(x \right)
F_{354}\! \left(x \right) = F_{347}\! \left(x \right)+F_{355}\! \left(x \right)
F_{355}\! \left(x \right) = F_{16} \left(x \right)^{2} F_{340}\! \left(x \right)
F_{356}\! \left(x \right) = F_{357}\! \left(x \right)
F_{357}\! \left(x \right) = F_{0}\! \left(x \right) F_{10}\! \left(x \right) F_{358}\! \left(x \right)
F_{358}\! \left(x \right) = F_{359}\! \left(x \right)
F_{359}\! \left(x \right) = F_{0}\! \left(x \right) F_{18}\! \left(x \right) F_{360}\! \left(x \right) F_{78}\! \left(x \right)
F_{360}\! \left(x \right) = F_{340}\! \left(x \right)+F_{361}\! \left(x \right)
F_{361}\! \left(x \right) = F_{0}\! \left(x \right) F_{18}\! \left(x \right)
F_{362}\! \left(x \right) = F_{363}\! \left(x \right)+F_{508}\! \left(x \right)
F_{363}\! \left(x \right) = F_{364}\! \left(x \right)+F_{368}\! \left(x \right)
F_{364}\! \left(x \right) = F_{0}\! \left(x \right) F_{365}\! \left(x \right)
F_{365}\! \left(x \right) = F_{366}\! \left(x \right)
F_{366}\! \left(x \right) = F_{0}\! \left(x \right) F_{18}\! \left(x \right) F_{367}\! \left(x \right)
F_{367}\! \left(x \right) = F_{13}\! \left(x \right)+F_{365}\! \left(x \right)
F_{368}\! \left(x \right) = F_{369}\! \left(x \right)
F_{369}\! \left(x \right) = F_{0}\! \left(x \right) F_{370}\! \left(x \right) F_{383}\! \left(x \right)
F_{370}\! \left(x \right) = -F_{10}\! \left(x \right)+F_{371}\! \left(x \right)
F_{371}\! \left(x \right) = \frac{F_{372}\! \left(x \right)}{F_{76}\! \left(x \right)}
F_{372}\! \left(x \right) = -F_{380}\! \left(x \right)+F_{373}\! \left(x \right)
F_{373}\! \left(x \right) = F_{374}\! \left(x \right)+F_{375}\! \left(x \right)
F_{374}\! \left(x \right) = F_{10}\! \left(x \right) F_{78}\! \left(x \right)
F_{375}\! \left(x \right) = F_{376}\! \left(x \right)
F_{376}\! \left(x \right) = F_{18}\! \left(x \right) F_{377}\! \left(x \right)
F_{377}\! \left(x \right) = F_{367}\! \left(x \right)+F_{378}\! \left(x \right)
F_{378}\! \left(x \right) = F_{379}\! \left(x \right)
F_{379}\! \left(x \right) = F_{0}\! \left(x \right) F_{371}\! \left(x \right) F_{76}\! \left(x \right)
F_{380}\! \left(x \right) = F_{10}\! \left(x \right)+F_{381}\! \left(x \right)
F_{381}\! \left(x \right) = F_{382}\! \left(x \right)
F_{382}\! \left(x \right) = F_{18}\! \left(x \right) F_{367}\! \left(x \right)
F_{383}\! \left(x \right) = \frac{F_{384}\! \left(x \right)}{F_{76}\! \left(x \right)}
F_{384}\! \left(x \right) = -F_{27}\! \left(x \right)+F_{385}\! \left(x \right)
F_{385}\! \left(x \right) = \frac{F_{386}\! \left(x \right)}{F_{36}\! \left(x \right)}
F_{386}\! \left(x \right) = F_{387}\! \left(x \right)
F_{387}\! \left(x \right) = -F_{506}\! \left(x \right)+F_{388}\! \left(x \right)
F_{388}\! \left(x \right) = -F_{391}\! \left(x \right)+F_{389}\! \left(x \right)
F_{389}\! \left(x \right) = \frac{F_{390}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{390}\! \left(x \right) = F_{33}\! \left(x \right)
F_{391}\! \left(x \right) = F_{392}\! \left(x \right)+F_{499}\! \left(x \right)
F_{392}\! \left(x \right) = F_{2}\! \left(x \right) F_{393}\! \left(x \right)
F_{393}\! \left(x \right) = F_{394}\! \left(x \right)+F_{81}\! \left(x \right)
F_{394}\! \left(x \right) = F_{395}\! \left(x \right)+F_{436}\! \left(x \right)
F_{395}\! \left(x \right) = F_{396}\! \left(x \right)
F_{396}\! \left(x \right) = F_{18}\! \left(x \right) F_{397}\! \left(x \right)
F_{397}\! \left(x \right) = F_{398}\! \left(x \right)+F_{399}\! \left(x \right)
F_{398}\! \left(x \right) = F_{18}\! \left(x \right)+F_{395}\! \left(x \right)
F_{399}\! \left(x \right) = F_{400}\! \left(x \right)+F_{412}\! \left(x \right)
F_{400}\! \left(x \right) = F_{401}\! \left(x \right)
F_{401}\! \left(x \right) = F_{18}\! \left(x \right) F_{402}\! \left(x \right)
F_{402}\! \left(x \right) = F_{403}\! \left(x \right)+F_{406}\! \left(x \right)
F_{403}\! \left(x \right) = F_{18}\! \left(x \right)+F_{404}\! \left(x \right)
F_{404}\! \left(x \right) = F_{405}\! \left(x \right)
F_{405}\! \left(x \right) = F_{18}\! \left(x \right) F_{403}\! \left(x \right)
F_{406}\! \left(x \right) = F_{407}\! \left(x \right)+F_{409}\! \left(x \right)
F_{407}\! \left(x \right) = F_{408}\! \left(x \right)
F_{408}\! \left(x \right) = x^{2}
F_{409}\! \left(x \right) = 2 F_{50}\! \left(x \right)+F_{410}\! \left(x \right)+F_{411}\! \left(x \right)
F_{410}\! \left(x \right) = F_{18}\! \left(x \right) F_{404}\! \left(x \right)
F_{411}\! \left(x \right) = F_{18}\! \left(x \right) F_{406}\! \left(x \right)
F_{412}\! \left(x \right) = 2 F_{50}\! \left(x \right)+F_{413}\! \left(x \right)+F_{418}\! \left(x \right)
F_{413}\! \left(x \right) = F_{18}\! \left(x \right) F_{414}\! \left(x \right)
F_{414}\! \left(x \right) = F_{415}\! \left(x \right)+F_{431}\! \left(x \right)
F_{415}\! \left(x \right) = F_{395}\! \left(x \right)+F_{416}\! \left(x \right)
F_{416}\! \left(x \right) = 2 F_{50}\! \left(x \right)+F_{417}\! \left(x \right)+F_{418}\! \left(x \right)
F_{417}\! \left(x \right) = F_{18}\! \left(x \right) F_{415}\! \left(x \right)
F_{418}\! \left(x \right) = F_{18}\! \left(x \right) F_{419}\! \left(x \right)
F_{419}\! \left(x \right) = F_{420}\! \left(x \right)+F_{423}\! \left(x \right)
F_{420}\! \left(x \right) = F_{407}\! \left(x \right)+F_{421}\! \left(x \right)
F_{421}\! \left(x \right) = 2 F_{50}\! \left(x \right)+F_{418}\! \left(x \right)+F_{422}\! \left(x \right)
F_{422}\! \left(x \right) = F_{18}\! \left(x \right) F_{395}\! \left(x \right)
F_{423}\! \left(x \right) = F_{424}\! \left(x \right)+F_{427}\! \left(x \right)
F_{424}\! \left(x \right) = 2 F_{50}\! \left(x \right)+F_{410}\! \left(x \right)+F_{425}\! \left(x \right)
F_{425}\! \left(x \right) = F_{18}\! \left(x \right) F_{426}\! \left(x \right)
F_{426}\! \left(x \right) = F_{406}\! \left(x \right)
F_{427}\! \left(x \right) = 2 F_{50}\! \left(x \right)+F_{428}\! \left(x \right)+F_{429}\! \left(x \right)+F_{435}\! \left(x \right)
F_{428}\! \left(x \right) = F_{18}\! \left(x \right) F_{416}\! \left(x \right)
F_{429}\! \left(x \right) = F_{18}\! \left(x \right) F_{430}\! \left(x \right)
F_{430}\! \left(x \right) = F_{431}\! \left(x \right)
F_{431}\! \left(x \right) = F_{432}\! \left(x \right)+F_{433}\! \left(x \right)
F_{432}\! \left(x \right) = F_{422}\! \left(x \right)
F_{433}\! \left(x \right) = 3 F_{50}\! \left(x \right)+F_{428}\! \left(x \right)+F_{434}\! \left(x \right)
F_{434}\! \left(x \right) = F_{18}\! \left(x \right) F_{431}\! \left(x \right)
F_{435}\! \left(x \right) = 0
F_{436}\! \left(x \right) = 2 F_{50}\! \left(x \right)+F_{437}\! \left(x \right)+F_{494}\! \left(x \right)
F_{437}\! \left(x \right) = F_{18}\! \left(x \right) F_{438}\! \left(x \right)
F_{438}\! \left(x \right) = F_{439}\! \left(x \right)+F_{440}\! \left(x \right)
F_{439}\! \left(x \right) = F_{436}\! \left(x \right)+F_{79}\! \left(x \right)
F_{440}\! \left(x \right) = F_{441}\! \left(x \right)+F_{455}\! \left(x \right)
F_{441}\! \left(x \right) = 2 F_{50}\! \left(x \right)+F_{442}\! \left(x \right)+F_{447}\! \left(x \right)
F_{442}\! \left(x \right) = F_{18}\! \left(x \right) F_{443}\! \left(x \right)
F_{443}\! \left(x \right) = F_{444}\! \left(x \right)+F_{451}\! \left(x \right)
F_{444}\! \left(x \right) = F_{445}\! \left(x \right)+F_{79}\! \left(x \right)
F_{445}\! \left(x \right) = 2 F_{50}\! \left(x \right)+F_{446}\! \left(x \right)+F_{447}\! \left(x \right)
F_{446}\! \left(x \right) = F_{18}\! \left(x \right) F_{444}\! \left(x \right)
F_{447}\! \left(x \right) = F_{18}\! \left(x \right) F_{448}\! \left(x \right)
F_{448}\! \left(x \right) = F_{407}\! \left(x \right)+F_{449}\! \left(x \right)
F_{449}\! \left(x \right) = F_{450}\! \left(x \right)
F_{450}\! \left(x \right) = F_{18}\! \left(x \right) F_{79}\! \left(x \right)
F_{451}\! \left(x \right) = F_{449}\! \left(x \right)+F_{452}\! \left(x \right)
F_{452}\! \left(x \right) = 3 F_{50}\! \left(x \right)+F_{453}\! \left(x \right)+F_{454}\! \left(x \right)
F_{453}\! \left(x \right) = F_{18}\! \left(x \right) F_{445}\! \left(x \right)
F_{454}\! \left(x \right) = F_{18}\! \left(x \right) F_{451}\! \left(x \right)
F_{455}\! \left(x \right) = 2 F_{50}\! \left(x \right)+F_{456}\! \left(x \right)+F_{461}\! \left(x \right)+F_{467}\! \left(x \right)
F_{456}\! \left(x \right) = F_{18}\! \left(x \right) F_{457}\! \left(x \right)
F_{457}\! \left(x \right) = F_{458}\! \left(x \right)+F_{488}\! \left(x \right)
F_{458}\! \left(x \right) = F_{436}\! \left(x \right)+F_{459}\! \left(x \right)
F_{459}\! \left(x \right) = 2 F_{50}\! \left(x \right)+F_{460}\! \left(x \right)+F_{461}\! \left(x \right)+F_{467}\! \left(x \right)
F_{460}\! \left(x \right) = F_{18}\! \left(x \right) F_{458}\! \left(x \right)
F_{461}\! \left(x \right) = F_{18}\! \left(x \right) F_{462}\! \left(x \right)
F_{462}\! \left(x \right) = F_{463}\! \left(x \right)+F_{479}\! \left(x \right)
F_{463}\! \left(x \right) = F_{464}\! \left(x \right)+F_{465}\! \left(x \right)
F_{464}\! \left(x \right) = 2 F_{50}\! \left(x \right)+F_{447}\! \left(x \right)+F_{450}\! \left(x \right)
F_{465}\! \left(x \right) = 2 F_{50}\! \left(x \right)+F_{461}\! \left(x \right)+F_{466}\! \left(x \right)+F_{467}\! \left(x \right)
F_{466}\! \left(x \right) = F_{18}\! \left(x \right) F_{436}\! \left(x \right)
F_{467}\! \left(x \right) = F_{18}\! \left(x \right) F_{468}\! \left(x \right)
F_{468}\! \left(x \right) = F_{424}\! \left(x \right)+F_{469}\! \left(x \right)
F_{469}\! \left(x \right) = 3 F_{50}\! \left(x \right)+F_{470}\! \left(x \right)+F_{474}\! \left(x \right)
F_{470}\! \left(x \right) = F_{18}\! \left(x \right) F_{471}\! \left(x \right)
F_{471}\! \left(x \right) = F_{472}\! \left(x \right)
F_{472}\! \left(x \right) = F_{18}\! \left(x \right) F_{473}\! \left(x \right)
F_{473}\! \left(x \right) = F_{471}\! \left(x \right)+F_{79}\! \left(x \right)
F_{474}\! \left(x \right) = F_{18}\! \left(x \right) F_{475}\! \left(x \right)
F_{475}\! \left(x \right) = F_{476}\! \left(x \right)
F_{476}\! \left(x \right) = F_{449}\! \left(x \right)+F_{477}\! \left(x \right)
F_{477}\! \left(x \right) = 3 F_{50}\! \left(x \right)+F_{470}\! \left(x \right)+F_{478}\! \left(x \right)
F_{478}\! \left(x \right) = F_{18}\! \left(x \right) F_{476}\! \left(x \right)
F_{479}\! \left(x \right) = F_{480}\! \left(x \right)+F_{484}\! \left(x \right)
F_{480}\! \left(x \right) = 2 F_{50}\! \left(x \right)+F_{453}\! \left(x \right)+F_{481}\! \left(x \right)+F_{483}\! \left(x \right)
F_{481}\! \left(x \right) = F_{18}\! \left(x \right) F_{482}\! \left(x \right)
F_{482}\! \left(x \right) = F_{451}\! \left(x \right)
F_{483}\! \left(x \right) = 0
F_{484}\! \left(x \right) = 2 F_{50}\! \left(x \right)+F_{485}\! \left(x \right)+F_{486}\! \left(x \right)+F_{492}\! \left(x \right)+F_{493}\! \left(x \right)
F_{485}\! \left(x \right) = F_{18}\! \left(x \right) F_{459}\! \left(x \right)
F_{486}\! \left(x \right) = F_{18}\! \left(x \right) F_{487}\! \left(x \right)
F_{487}\! \left(x \right) = F_{488}\! \left(x \right)
F_{488}\! \left(x \right) = F_{489}\! \left(x \right)+F_{490}\! \left(x \right)
F_{489}\! \left(x \right) = F_{466}\! \left(x \right)
F_{490}\! \left(x \right) = 4 F_{50}\! \left(x \right)+F_{485}\! \left(x \right)+F_{491}\! \left(x \right)
F_{491}\! \left(x \right) = F_{18}\! \left(x \right) F_{488}\! \left(x \right)
F_{492}\! \left(x \right) = 0
F_{493}\! \left(x \right) = 0
F_{494}\! \left(x \right) = F_{18}\! \left(x \right) F_{495}\! \left(x \right)
F_{495}\! \left(x \right) = F_{400}\! \left(x \right)+F_{496}\! \left(x \right)
F_{496}\! \left(x \right) = F_{497}\! \left(x \right)
F_{497}\! \left(x \right) = F_{18}\! \left(x \right) F_{498}\! \left(x \right)
F_{498}\! \left(x \right) = F_{473}\! \left(x \right)+F_{476}\! \left(x \right)
F_{499}\! \left(x \right) = F_{500}\! \left(x \right)
F_{500}\! \left(x \right) = F_{36}\! \left(x \right) F_{501}\! \left(x \right)
F_{501}\! \left(x \right) = F_{502}\! \left(x \right)
F_{502}\! \left(x \right) = F_{0}\! \left(x \right) F_{18}\! \left(x \right) F_{503}\! \left(x \right) F_{78}\! \left(x \right)
F_{503}\! \left(x \right) = F_{504}\! \left(x \right)+F_{81}\! \left(x \right)
F_{504}\! \left(x \right) = F_{505}\! \left(x \right)
F_{505}\! \left(x \right) = x^{2}
F_{506}\! \left(x \right) = F_{2}\! \left(x \right) F_{507}\! \left(x \right)
F_{507}\! \left(x \right) = F_{177}\! \left(x \right)+F_{99}\! \left(x \right)
F_{508}\! \left(x \right) = F_{509}\! \left(x \right)
F_{509}\! \left(x \right) = F_{0}\! \left(x \right) F_{510}\! \left(x \right)
F_{510}\! \left(x \right) = -F_{518}\! \left(x \right)+F_{511}\! \left(x \right)
F_{511}\! \left(x \right) = \frac{F_{512}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{512}\! \left(x \right) = F_{513}\! \left(x \right)
F_{513}\! \left(x \right) = F_{18}\! \left(x \right) F_{341}\! \left(x \right) F_{514}\! \left(x \right)
F_{514}\! \left(x \right) = F_{515}\! \left(x \right)+F_{516}\! \left(x \right)
F_{515}\! \left(x \right) = F_{2}\! \left(x \right) F_{78}\! \left(x \right)
F_{516}\! \left(x \right) = F_{517}\! \left(x \right)
F_{517}\! \left(x \right) = F_{18}\! \left(x \right) F_{377}\! \left(x \right)
F_{518}\! \left(x \right) = F_{519}\! \left(x \right)
F_{519}\! \left(x \right) = F_{10}\! \left(x \right) F_{341}\! \left(x \right) F_{76}\! \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_18(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_18(x)*F_8(x))
Eq(F_8(x), F_19(x) + F_9(x))
Eq(F_9(x), F_10(x)*F_2(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_18(x))
Eq(F_13(x), F_14(x)/F_18(x))
Eq(F_14(x), F_15(x))
Eq(F_15(x), -F_0(x) + F_16(x))
Eq(F_16(x), F_17(x)/F_18(x))
Eq(F_17(x), F_2(x))
Eq(F_18(x), x)
Eq(F_19(x), F_20(x))
Eq(F_20(x), F_18(x)*F_21(x))
Eq(F_21(x), F_22(x) + F_362(x))
Eq(F_22(x), F_23(x) + F_334(x))
Eq(F_23(x), F_24(x) + F_25(x))
Eq(F_24(x), F_0(x)*F_13(x))
Eq(F_25(x), F_26(x))
Eq(F_26(x), F_0(x)*F_10(x)*F_27(x))
Eq(F_27(x), F_28(x) - F_316(x))
Eq(F_28(x), F_29(x)/F_36(x))
Eq(F_29(x), F_30(x) - F_312(x))
Eq(F_30(x), -F_306(x) + F_31(x))
Eq(F_31(x), F_32(x)/F_18(x))
Eq(F_32(x), F_33(x))
Eq(F_33(x), F_18(x)*F_34(x))
Eq(F_34(x), F_238(x) + F_35(x))
Eq(F_35(x), F_36(x)*F_68(x))
Eq(F_36(x), F_1(x) + F_37(x))
Eq(F_37(x), F_38(x))
Eq(F_38(x), F_18(x)*F_39(x))
Eq(F_39(x), F_36(x) + F_40(x))
Eq(F_40(x), F_41(x) + F_49(x))
Eq(F_41(x), F_42(x))
Eq(F_42(x), F_18(x)*F_43(x))
Eq(F_43(x), F_44(x) + F_45(x))
Eq(F_44(x), F_1(x) + F_41(x))
Eq(F_45(x), F_18(x) + F_46(x))
Eq(F_46(x), F_47(x))
Eq(F_47(x), F_18(x)*F_48(x))
Eq(F_48(x), F_45(x))
Eq(F_49(x), F_50(x) + F_51(x) + F_57(x))
Eq(F_50(x), 0)
Eq(F_51(x), F_18(x)*F_52(x))
Eq(F_52(x), F_53(x) + F_54(x))
Eq(F_53(x), F_37(x) + F_49(x))
Eq(F_54(x), F_55(x) + F_65(x))
Eq(F_55(x), F_50(x) + F_56(x) + F_57(x))
Eq(F_56(x), F_18(x)*F_37(x))
Eq(F_57(x), F_18(x)*F_58(x))
Eq(F_58(x), F_59(x) + F_60(x))
Eq(F_59(x), F_18(x) + F_55(x))
Eq(F_60(x), F_61(x) + F_63(x))
Eq(F_61(x), F_62(x))
Eq(F_62(x), F_18(x)*F_41(x))
Eq(F_63(x), F_64(x))
Eq(F_64(x), F_18(x)*F_49(x))
Eq(F_65(x), F_66(x))
Eq(F_66(x), F_18(x)*F_67(x))
Eq(F_67(x), F_54(x))
Eq(F_68(x), F_69(x))
Eq(F_69(x), F_18(x)*F_70(x))
Eq(F_70(x), F_232(x) + F_71(x))
Eq(F_71(x), F_72(x) + F_83(x))
Eq(F_72(x), F_0(x)*F_73(x))
Eq(F_73(x), F_74(x) + F_75(x))
Eq(F_74(x), F_1(x) + F_18(x))
Eq(F_75(x), F_76(x) + F_79(x))
Eq(F_76(x), F_77(x))
Eq(F_77(x), F_18(x)*F_78(x))
Eq(F_78(x), F_1(x) + F_76(x))
Eq(F_79(x), F_50(x) + F_80(x) + F_82(x))
Eq(F_80(x), F_18(x)*F_81(x))
Eq(F_81(x), F_18(x) + F_79(x))
Eq(F_82(x), F_18(x)*F_76(x))
Eq(F_83(x), F_84(x))
Eq(F_84(x), F_230(x) + F_85(x))
Eq(F_85(x), F_228(x) + F_86(x))
Eq(F_86(x), F_41(x) + F_87(x))
Eq(F_87(x), F_88(x))
Eq(F_88(x), F_18(x)*F_89(x))
Eq(F_89(x), F_90(x) + F_91(x))
Eq(F_90(x), F_2(x)*F_78(x)**2)
Eq(F_91(x), F_92(x)/F_36(x))
Eq(F_92(x), F_93(x))
Eq(F_93(x), F_94(x) - F_96(x))
Eq(F_94(x), F_95(x)/F_18(x))
Eq(F_95(x), F_33(x))
Eq(F_96(x), F_2(x)*F_97(x))
Eq(F_97(x), F_177(x) + F_98(x))
Eq(F_98(x), F_78(x)*F_99(x))
Eq(F_99(x), F_100(x) + F_78(x))
Eq(F_100(x), F_101(x) + F_37(x))
Eq(F_101(x), F_102(x) + F_165(x) + F_50(x))
Eq(F_102(x), F_103(x)*F_18(x))
Eq(F_103(x), F_104(x) + F_105(x))
Eq(F_104(x), F_101(x) + F_76(x))
Eq(F_105(x), F_106(x) + F_120(x))
Eq(F_106(x), F_107(x) + F_112(x) + F_50(x))
Eq(F_107(x), F_108(x)*F_18(x))
Eq(F_108(x), F_109(x) + F_116(x))
Eq(F_109(x), F_110(x) + F_76(x))
Eq(F_110(x), F_111(x) + F_112(x) + F_50(x))
Eq(F_111(x), F_109(x)*F_18(x))
Eq(F_112(x), F_113(x)*F_18(x))
Eq(F_113(x), F_114(x) + F_18(x))
Eq(F_114(x), F_115(x))
Eq(F_115(x), F_18(x)*F_76(x))
Eq(F_116(x), F_114(x) + F_117(x))
Eq(F_117(x), F_118(x) + F_119(x) + 2*F_50(x))
Eq(F_118(x), F_110(x)*F_18(x))
Eq(F_119(x), F_116(x)*F_18(x))
Eq(F_120(x), F_121(x) + F_126(x) + F_132(x) + F_50(x))
Eq(F_121(x), F_122(x)*F_18(x))
Eq(F_122(x), F_123(x) + F_159(x))
Eq(F_123(x), F_101(x) + F_124(x))
Eq(F_124(x), F_125(x) + F_126(x) + F_132(x) + F_50(x))
Eq(F_125(x), F_123(x)*F_18(x))
Eq(F_126(x), F_127(x)*F_18(x))
Eq(F_127(x), F_128(x) + F_150(x))
Eq(F_128(x), F_129(x) + F_130(x))
Eq(F_129(x), F_112(x) + F_115(x) + F_50(x))
Eq(F_130(x), F_126(x) + F_131(x) + F_132(x) + F_50(x))
Eq(F_131(x), F_101(x)*F_18(x))
Eq(F_132(x), F_133(x)*F_18(x))
Eq(F_133(x), F_134(x) + F_140(x))
Eq(F_134(x), F_115(x) + F_135(x) + F_50(x))
Eq(F_135(x), F_136(x)*F_18(x))
Eq(F_136(x), F_137(x))
Eq(F_137(x), F_138(x) + F_18(x))
Eq(F_138(x), F_115(x) + F_139(x) + F_50(x))
Eq(F_139(x), F_137(x)*F_18(x))
Eq(F_140(x), F_141(x) + F_145(x) + 2*F_50(x))
Eq(F_141(x), F_142(x)*F_18(x))
Eq(F_142(x), F_143(x))
Eq(F_143(x), F_144(x)*F_18(x))
Eq(F_144(x), F_142(x) + F_76(x))
Eq(F_145(x), F_146(x)*F_18(x))
Eq(F_146(x), F_147(x))
Eq(F_147(x), F_114(x) + F_148(x))
Eq(F_148(x), F_141(x) + F_149(x) + 2*F_50(x))
Eq(F_149(x), F_147(x)*F_18(x))
Eq(F_150(x), F_151(x) + F_155(x))
Eq(F_151(x), F_118(x) + F_152(x) + F_154(x) + F_50(x))
Eq(F_152(x), F_153(x)*F_18(x))
Eq(F_153(x), F_116(x))
Eq(F_154(x), 0)
Eq(F_155(x), F_156(x) + F_157(x) + F_163(x) + F_164(x) + F_50(x))
Eq(F_156(x), F_124(x)*F_18(x))
Eq(F_157(x), F_158(x)*F_18(x))
Eq(F_158(x), F_159(x))
Eq(F_159(x), F_160(x) + F_161(x))
Eq(F_160(x), F_131(x))
Eq(F_161(x), F_156(x) + F_162(x) + 3*F_50(x))
Eq(F_162(x), F_159(x)*F_18(x))
Eq(F_163(x), 0)
Eq(F_164(x), 0)
Eq(F_165(x), F_166(x)*F_18(x))
Eq(F_166(x), F_167(x) + F_174(x))
Eq(F_167(x), F_168(x))
Eq(F_168(x), F_169(x)*F_18(x))
Eq(F_169(x), F_170(x) + F_78(x))
Eq(F_170(x), F_171(x) + F_76(x))
Eq(F_171(x), F_172(x))
Eq(F_172(x), F_173(x)*F_18(x))
Eq(F_173(x), F_171(x) + F_76(x))
Eq(F_174(x), F_175(x))
Eq(F_175(x), F_176(x)*F_18(x))
Eq(F_176(x), F_144(x) + F_147(x))
Eq(F_177(x), F_167(x) + F_178(x))
Eq(F_178(x), F_179(x) + F_225(x) + F_50(x))
Eq(F_179(x), F_18(x)*F_180(x))
Eq(F_180(x), F_177(x) + F_181(x))
Eq(F_181(x), F_182(x) + F_199(x))
Eq(F_182(x), F_183(x) + F_189(x) + F_50(x))
Eq(F_183(x), F_18(x)*F_184(x))
Eq(F_184(x), F_185(x) + F_186(x))
Eq(F_185(x), F_167(x) + F_182(x))
Eq(F_186(x), F_187(x) + F_196(x))
Eq(F_187(x), F_188(x) + F_189(x) + F_50(x))
Eq(F_188(x), F_167(x)*F_18(x))
Eq(F_189(x), F_18(x)*F_190(x))
Eq(F_190(x), F_191(x) + F_193(x))
Eq(F_191(x), F_18(x) + F_192(x))
Eq(F_192(x), F_115(x))
Eq(F_193(x), F_192(x) + F_194(x))
Eq(F_194(x), F_195(x))
Eq(F_195(x), F_171(x)*F_18(x))
Eq(F_196(x), F_197(x))
Eq(F_197(x), F_18(x)*F_198(x))
Eq(F_198(x), F_186(x))
Eq(F_199(x), F_200(x) + F_206(x) + F_214(x) + F_50(x))
Eq(F_200(x), F_18(x)*F_201(x))
Eq(F_201(x), F_202(x) + F_203(x))
Eq(F_202(x), F_178(x) + F_199(x))
Eq(F_203(x), F_204(x) + F_222(x))
Eq(F_204(x), F_205(x) + F_206(x) + F_214(x) + F_50(x))
Eq(F_205(x), F_178(x)*F_18(x))
Eq(F_206(x), F_18(x)*F_207(x))
Eq(F_207(x), F_208(x) + F_209(x))
Eq(F_208(x), F_187(x) + F_204(x))
Eq(F_209(x), F_210(x) + F_212(x))
Eq(F_210(x), F_211(x))
Eq(F_211(x), F_18(x)*F_182(x))
Eq(F_212(x), F_213(x))
Eq(F_213(x), F_18(x)*F_199(x))
Eq(F_214(x), F_18(x)*F_215(x))
Eq(F_215(x), F_193(x) + F_216(x))
Eq(F_216(x), F_194(x) + F_217(x))
Eq(F_217(x), F_218(x))
Eq(F_218(x), F_18(x)*F_219(x))
Eq(F_219(x), F_220(x))
Eq(F_220(x), F_18(x)*F_221(x))
Eq(F_221(x), F_171(x) + F_219(x))
Eq(F_222(x), F_223(x))
Eq(F_223(x), F_18(x)*F_224(x))
Eq(F_224(x), F_203(x))
Eq(F_225(x), F_18(x)*F_226(x))
Eq(F_226(x), F_170(x) + F_227(x))
Eq(F_227(x), F_171(x) + F_219(x))
Eq(F_228(x), F_229(x))
Eq(F_229(x), F_0(x)*F_18(x)*F_76(x))
Eq(F_230(x), F_231(x))
Eq(F_231(x), F_0(x)*F_18(x)**2)
Eq(F_232(x), F_233(x))
Eq(F_233(x), F_18(x)*F_234(x))
Eq(F_234(x), F_235(x) + F_70(x))
Eq(F_235(x), F_236(x))
Eq(F_236(x), F_0(x)*F_18(x)*F_237(x)*F_78(x))
Eq(F_237(x), F_44(x) + F_76(x))
Eq(F_238(x), F_239(x)*F_304(x))
Eq(F_239(x), F_240(x) + F_41(x))
Eq(F_240(x), F_241(x) + F_298(x) + F_50(x))
Eq(F_241(x), F_18(x)*F_242(x))
Eq(F_242(x), F_239(x) + F_243(x))
Eq(F_243(x), F_244(x) + F_258(x))
Eq(F_244(x), F_245(x) + F_250(x) + F_50(x))
Eq(F_245(x), F_18(x)*F_246(x))
Eq(F_246(x), F_247(x) + F_254(x))
Eq(F_247(x), F_248(x) + F_41(x))
Eq(F_248(x), F_249(x) + F_250(x) + F_50(x))
Eq(F_249(x), F_18(x)*F_247(x))
Eq(F_250(x), F_18(x)*F_251(x))
Eq(F_251(x), F_252(x))
Eq(F_252(x), F_18(x) + F_253(x))
Eq(F_253(x), F_62(x))
Eq(F_254(x), F_253(x) + F_255(x))
Eq(F_255(x), F_256(x) + F_257(x) + 2*F_50(x))
Eq(F_256(x), F_18(x)*F_248(x))
Eq(F_257(x), F_18(x)*F_254(x))
Eq(F_258(x), F_259(x) + F_264(x) + F_270(x) + F_50(x))
Eq(F_259(x), F_18(x)*F_260(x))
Eq(F_260(x), F_261(x) + F_292(x))
Eq(F_261(x), F_240(x) + F_262(x))
Eq(F_262(x), F_263(x) + F_264(x) + F_270(x) + F_50(x))
Eq(F_263(x), F_18(x)*F_261(x))
Eq(F_264(x), F_18(x)*F_265(x))
Eq(F_265(x), F_266(x) + F_283(x))
Eq(F_266(x), F_267(x) + F_268(x))
Eq(F_267(x), F_250(x) + F_50(x) + F_62(x))
Eq(F_268(x), F_264(x) + F_269(x) + F_270(x) + F_50(x))
Eq(F_269(x), F_18(x)*F_240(x))
Eq(F_270(x), F_18(x)*F_271(x))
Eq(F_271(x), F_272(x))
Eq(F_272(x), F_134(x) + F_273(x))
Eq(F_273(x), F_274(x) + F_278(x) + 2*F_50(x))
Eq(F_274(x), F_18(x)*F_275(x))
Eq(F_275(x), F_276(x))
Eq(F_276(x), F_18(x)*F_277(x))
Eq(F_277(x), F_275(x) + F_41(x))
Eq(F_278(x), F_18(x)*F_279(x))
Eq(F_279(x), F_280(x))
Eq(F_280(x), F_253(x) + F_281(x))
Eq(F_281(x), F_274(x) + F_282(x) + 2*F_50(x))
Eq(F_282(x), F_18(x)*F_280(x))
Eq(F_283(x), F_284(x) + F_288(x))
Eq(F_284(x), F_256(x) + F_285(x) + F_287(x) + F_50(x))
Eq(F_285(x), F_18(x)*F_286(x))
Eq(F_286(x), F_254(x))
Eq(F_287(x), 0)
Eq(F_288(x), F_289(x) + F_290(x) + F_296(x) + F_297(x) + F_50(x))
Eq(F_289(x), F_18(x)*F_262(x))
Eq(F_290(x), F_18(x)*F_291(x))
Eq(F_291(x), F_292(x))
Eq(F_292(x), F_293(x) + F_294(x))
Eq(F_293(x), F_269(x))
Eq(F_294(x), F_289(x) + F_295(x) + 3*F_50(x))
Eq(F_295(x), F_18(x)*F_292(x))
Eq(F_296(x), 0)
Eq(F_297(x), 0)
Eq(F_298(x), F_18(x)*F_299(x))
Eq(F_299(x), F_300(x))
Eq(F_300(x), F_167(x) + F_301(x))
Eq(F_301(x), F_302(x))
Eq(F_302(x), F_18(x)*F_303(x))
Eq(F_303(x), F_277(x) + F_280(x))
Eq(F_304(x), F_305(x)/F_18(x))
Eq(F_305(x), F_2(x))
Eq(F_306(x), F_18(x)*F_307(x)*F_36(x))
Eq(F_307(x), F_308(x) + F_309(x))
Eq(F_308(x), F_2(x)*F_78(x))
Eq(F_309(x), F_310(x))
Eq(F_310(x), F_0(x)*F_18(x)*F_311(x)*F_78(x))
Eq(F_311(x), F_74(x) + F_76(x))
Eq(F_312(x), F_2(x)*F_313(x)*F_44(x))
Eq(F_313(x), F_314(x) + F_315(x))
Eq(F_314(x), F_1(x) + F_167(x))
Eq(F_315(x), F_178(x) + F_37(x))
Eq(F_316(x), F_317(x) - F_325(x))
Eq(F_317(x), F_318(x)/F_36(x))
Eq(F_318(x), F_319(x) - F_321(x))
Eq(F_319(x), F_320(x)/F_18(x))
Eq(F_320(x), F_33(x))
Eq(F_321(x), F_2(x)*F_322(x))
Eq(F_322(x), F_323(x) + F_324(x))
Eq(F_323(x), F_237(x)*F_36(x))
Eq(F_324(x), F_177(x)*F_44(x))
Eq(F_325(x), -F_326(x) + F_91(x))
Eq(F_326(x), F_327(x)*F_76(x))
Eq(F_327(x), F_328(x) - F_332(x))
Eq(F_328(x), F_329(x))
Eq(F_329(x), F_0(x)*F_18(x)*F_330(x))
Eq(F_330(x), F_331(x) + F_81(x))
Eq(F_331(x), F_78(x)**3)
Eq(F_332(x), F_333(x))
Eq(F_333(x), F_0(x)*F_76(x)**2*F_78(x))
Eq(F_334(x), F_335(x))
Eq(F_335(x), F_18(x)*F_336(x))
Eq(F_336(x), F_337(x) + F_356(x))
Eq(F_337(x), F_0(x)*F_338(x))
Eq(F_338(x), F_339(x) + F_343(x))
Eq(F_339(x), F_10(x)*F_340(x))
Eq(F_340(x), F_0(x) + F_341(x))
Eq(F_341(x), F_342(x))
Eq(F_342(x), F_0(x)*F_18(x)*F_340(x))
Eq(F_343(x), F_344(x))
Eq(F_344(x), F_18(x)*F_345(x))
Eq(F_345(x), F_346(x) + F_347(x))
Eq(F_346(x), F_10(x)*F_16(x)*F_340(x))
Eq(F_347(x), F_348(x)*F_78(x))
Eq(F_348(x), F_349(x))
Eq(F_349(x), F_18(x)*F_350(x))
Eq(F_350(x), F_351(x) + F_352(x))
Eq(F_351(x), F_16(x)*F_340(x))
Eq(F_352(x), F_353(x))
Eq(F_353(x), F_18(x)*F_354(x))
Eq(F_354(x), F_347(x) + F_355(x))
Eq(F_355(x), F_16(x)**2*F_340(x))
Eq(F_356(x), F_357(x))
Eq(F_357(x), F_0(x)*F_10(x)*F_358(x))
Eq(F_358(x), F_359(x))
Eq(F_359(x), F_0(x)*F_18(x)*F_360(x)*F_78(x))
Eq(F_360(x), F_340(x) + F_361(x))
Eq(F_361(x), F_0(x)*F_18(x))
Eq(F_362(x), F_363(x) + F_508(x))
Eq(F_363(x), F_364(x) + F_368(x))
Eq(F_364(x), F_0(x)*F_365(x))
Eq(F_365(x), F_366(x))
Eq(F_366(x), F_0(x)*F_18(x)*F_367(x))
Eq(F_367(x), F_13(x) + F_365(x))
Eq(F_368(x), F_369(x))
Eq(F_369(x), F_0(x)*F_370(x)*F_383(x))
Eq(F_370(x), -F_10(x) + F_371(x))
Eq(F_371(x), F_372(x)/F_76(x))
Eq(F_372(x), F_373(x) - F_380(x))
Eq(F_373(x), F_374(x) + F_375(x))
Eq(F_374(x), F_10(x)*F_78(x))
Eq(F_375(x), F_376(x))
Eq(F_376(x), F_18(x)*F_377(x))
Eq(F_377(x), F_367(x) + F_378(x))
Eq(F_378(x), F_379(x))
Eq(F_379(x), F_0(x)*F_371(x)*F_76(x))
Eq(F_380(x), F_10(x) + F_381(x))
Eq(F_381(x), F_382(x))
Eq(F_382(x), F_18(x)*F_367(x))
Eq(F_383(x), F_384(x)/F_76(x))
Eq(F_384(x), -F_27(x) + F_385(x))
Eq(F_385(x), F_386(x)/F_36(x))
Eq(F_386(x), F_387(x))
Eq(F_387(x), F_388(x) - F_506(x))
Eq(F_388(x), F_389(x) - F_391(x))
Eq(F_389(x), F_390(x)/F_18(x))
Eq(F_390(x), F_33(x))
Eq(F_391(x), F_392(x) + F_499(x))
Eq(F_392(x), F_2(x)*F_393(x))
Eq(F_393(x), F_394(x) + F_81(x))
Eq(F_394(x), F_395(x) + F_436(x))
Eq(F_395(x), F_396(x))
Eq(F_396(x), F_18(x)*F_397(x))
Eq(F_397(x), F_398(x) + F_399(x))
Eq(F_398(x), F_18(x) + F_395(x))
Eq(F_399(x), F_400(x) + F_412(x))
Eq(F_400(x), F_401(x))
Eq(F_401(x), F_18(x)*F_402(x))
Eq(F_402(x), F_403(x) + F_406(x))
Eq(F_403(x), F_18(x) + F_404(x))
Eq(F_404(x), F_405(x))
Eq(F_405(x), F_18(x)*F_403(x))
Eq(F_406(x), F_407(x) + F_409(x))
Eq(F_407(x), F_408(x))
Eq(F_408(x), x**2)
Eq(F_409(x), F_410(x) + F_411(x) + 2*F_50(x))
Eq(F_410(x), F_18(x)*F_404(x))
Eq(F_411(x), F_18(x)*F_406(x))
Eq(F_412(x), F_413(x) + F_418(x) + 2*F_50(x))
Eq(F_413(x), F_18(x)*F_414(x))
Eq(F_414(x), F_415(x) + F_431(x))
Eq(F_415(x), F_395(x) + F_416(x))
Eq(F_416(x), F_417(x) + F_418(x) + 2*F_50(x))
Eq(F_417(x), F_18(x)*F_415(x))
Eq(F_418(x), F_18(x)*F_419(x))
Eq(F_419(x), F_420(x) + F_423(x))
Eq(F_420(x), F_407(x) + F_421(x))
Eq(F_421(x), F_418(x) + F_422(x) + 2*F_50(x))
Eq(F_422(x), F_18(x)*F_395(x))
Eq(F_423(x), F_424(x) + F_427(x))
Eq(F_424(x), F_410(x) + F_425(x) + 2*F_50(x))
Eq(F_425(x), F_18(x)*F_426(x))
Eq(F_426(x), F_406(x))
Eq(F_427(x), F_428(x) + F_429(x) + F_435(x) + 2*F_50(x))
Eq(F_428(x), F_18(x)*F_416(x))
Eq(F_429(x), F_18(x)*F_430(x))
Eq(F_430(x), F_431(x))
Eq(F_431(x), F_432(x) + F_433(x))
Eq(F_432(x), F_422(x))
Eq(F_433(x), F_428(x) + F_434(x) + 3*F_50(x))
Eq(F_434(x), F_18(x)*F_431(x))
Eq(F_435(x), 0)
Eq(F_436(x), F_437(x) + F_494(x) + 2*F_50(x))
Eq(F_437(x), F_18(x)*F_438(x))
Eq(F_438(x), F_439(x) + F_440(x))
Eq(F_439(x), F_436(x) + F_79(x))
Eq(F_440(x), F_441(x) + F_455(x))
Eq(F_441(x), F_442(x) + F_447(x) + 2*F_50(x))
Eq(F_442(x), F_18(x)*F_443(x))
Eq(F_443(x), F_444(x) + F_451(x))
Eq(F_444(x), F_445(x) + F_79(x))
Eq(F_445(x), F_446(x) + F_447(x) + 2*F_50(x))
Eq(F_446(x), F_18(x)*F_444(x))
Eq(F_447(x), F_18(x)*F_448(x))
Eq(F_448(x), F_407(x) + F_449(x))
Eq(F_449(x), F_450(x))
Eq(F_450(x), F_18(x)*F_79(x))
Eq(F_451(x), F_449(x) + F_452(x))
Eq(F_452(x), F_453(x) + F_454(x) + 3*F_50(x))
Eq(F_453(x), F_18(x)*F_445(x))
Eq(F_454(x), F_18(x)*F_451(x))
Eq(F_455(x), F_456(x) + F_461(x) + F_467(x) + 2*F_50(x))
Eq(F_456(x), F_18(x)*F_457(x))
Eq(F_457(x), F_458(x) + F_488(x))
Eq(F_458(x), F_436(x) + F_459(x))
Eq(F_459(x), F_460(x) + F_461(x) + F_467(x) + 2*F_50(x))
Eq(F_460(x), F_18(x)*F_458(x))
Eq(F_461(x), F_18(x)*F_462(x))
Eq(F_462(x), F_463(x) + F_479(x))
Eq(F_463(x), F_464(x) + F_465(x))
Eq(F_464(x), F_447(x) + F_450(x) + 2*F_50(x))
Eq(F_465(x), F_461(x) + F_466(x) + F_467(x) + 2*F_50(x))
Eq(F_466(x), F_18(x)*F_436(x))
Eq(F_467(x), F_18(x)*F_468(x))
Eq(F_468(x), F_424(x) + F_469(x))
Eq(F_469(x), F_470(x) + F_474(x) + 3*F_50(x))
Eq(F_470(x), F_18(x)*F_471(x))
Eq(F_471(x), F_472(x))
Eq(F_472(x), F_18(x)*F_473(x))
Eq(F_473(x), F_471(x) + F_79(x))
Eq(F_474(x), F_18(x)*F_475(x))
Eq(F_475(x), F_476(x))
Eq(F_476(x), F_449(x) + F_477(x))
Eq(F_477(x), F_470(x) + F_478(x) + 3*F_50(x))
Eq(F_478(x), F_18(x)*F_476(x))
Eq(F_479(x), F_480(x) + F_484(x))
Eq(F_480(x), F_453(x) + F_481(x) + F_483(x) + 2*F_50(x))
Eq(F_481(x), F_18(x)*F_482(x))
Eq(F_482(x), F_451(x))
Eq(F_483(x), 0)
Eq(F_484(x), F_485(x) + F_486(x) + F_492(x) + F_493(x) + 2*F_50(x))
Eq(F_485(x), F_18(x)*F_459(x))
Eq(F_486(x), F_18(x)*F_487(x))
Eq(F_487(x), F_488(x))
Eq(F_488(x), F_489(x) + F_490(x))
Eq(F_489(x), F_466(x))
Eq(F_490(x), F_485(x) + F_491(x) + 4*F_50(x))
Eq(F_491(x), F_18(x)*F_488(x))
Eq(F_492(x), 0)
Eq(F_493(x), 0)
Eq(F_494(x), F_18(x)*F_495(x))
Eq(F_495(x), F_400(x) + F_496(x))
Eq(F_496(x), F_497(x))
Eq(F_497(x), F_18(x)*F_498(x))
Eq(F_498(x), F_473(x) + F_476(x))
Eq(F_499(x), F_500(x))
Eq(F_500(x), F_36(x)*F_501(x))
Eq(F_501(x), F_502(x))
Eq(F_502(x), F_0(x)*F_18(x)*F_503(x)*F_78(x))
Eq(F_503(x), F_504(x) + F_81(x))
Eq(F_504(x), F_505(x))
Eq(F_505(x), x**2)
Eq(F_506(x), F_2(x)*F_507(x))
Eq(F_507(x), F_177(x) + F_99(x))
Eq(F_508(x), F_509(x))
Eq(F_509(x), F_0(x)*F_510(x))
Eq(F_510(x), F_511(x) - F_518(x))
Eq(F_511(x), F_512(x)/F_18(x))
Eq(F_512(x), F_513(x))
Eq(F_513(x), F_18(x)*F_341(x)*F_514(x))
Eq(F_514(x), F_515(x) + F_516(x))
Eq(F_515(x), F_2(x)*F_78(x))
Eq(F_516(x), F_517(x))
Eq(F_517(x), F_18(x)*F_377(x))
Eq(F_518(x), F_519(x))
Eq(F_519(x), F_10(x)*F_341(x)*F_76(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, 2, 4, 3, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [0, 4, 2, 1, 3], [0, 4, 3, 1, 2], [0, 4, 3, 2, 1], [1, 3, 4, 0, 2], [1, 4, 2, 0, 3], [1, 4, 3, 0, 2], [2, 4, 1, 0, 3]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 4, 3, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [0, 4, 2, 1, 3], [0, 4, 3, 1, 2], [0, 4, 3, 2, 1], [1, 3, 4, 0, 2], [1, 4, 2, 0, 3], [1, 4, 3, 0, 2], [2, 4, 1, 0, 3]], "symmetry": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 4, 3, 1], "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, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 4, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 4, 2, 0, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 4, 3, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 4, 1, 0, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": 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"pos": [[4, 1], [4, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [3, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [4, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [3, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [4, 1]]}, {"patt": [1, 0], "pos": [[2, 0], [2, 0]]}, {"patt": [1, 0], "pos": [[3, 1], [3, 1]]}, {"patt": [1, 0], "pos": [[4, 1], [4, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}], [{"patt": [0], "pos": [[1, 1]]}], [{"patt": [0], "pos": [[2, 0]]}], [{"patt": [0], "pos": [[4, 1]]}]], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[2, 0]]}, {"patt": [0], "pos": [[3, 1]]}, {"patt": [0], "pos": [[4, 0]]}, {"patt": [0], "pos": [[5, 0]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [1, 1]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1], "pos": [[3, 0], [3, 0]]}, {"patt": [0, 1], "pos": [[5, 1], [5, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [5, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [5, 1]]}, {"patt": [1, 0], "pos": [[2, 1], [5, 1]]}, {"patt": [1, 0], "pos": [[3, 0], [3, 0]]}, {"patt": [1, 0], "pos": [[4, 1], [5, 1]]}, {"patt": [1, 0], "pos": [[5, 1], [5, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[1, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[2, 1], [2, 1], [2, 1]]}, {"patt": [1, 2, 0], "pos": [[0, 1], [2, 1], [2, 1]]}, {"patt": [1, 2, 0], "pos": [[0, 1], [2, 1], [4, 1]]}, {"patt": [1, 2, 0], "pos": [[1, 1], [2, 1], [2, 1]]}, {"patt": [1, 2, 0], "pos": [[1, 1], [2, 1], [4, 1]]}, {"patt": [1, 2, 0], "pos": [[2, 1], [2, 1], [2, 1]]}, {"patt": [1, 2, 0], "pos": [[2, 1], [2, 1], [4, 1]]}, {"patt": [2, 0, 1], "pos": [[0, 1], [2, 1], [4, 1]]}, {"patt": [2, 0, 1], "pos": [[1, 1], [2, 1], [4, 1]]}, {"patt": [2, 0, 1], "pos": [[2, 1], [2, 1], [4, 1]]}, {"patt": [2, 1, 0], "pos": [[0, 1], [2, 1], [2, 1]]}, {"patt": [2, 1, 0], "pos": [[0, 1], [2, 1], [4, 1]]}, {"patt": [2, 1, 0], "pos": [[1, 1], [2, 1], [2, 1]]}, {"patt": [2, 1, 0], "pos": [[1, 1], [2, 1], [4, 1]]}, {"patt": [2, 1, 0], "pos": [[2, 1], [2, 1], [2, 1]]}, {"patt": [2, 1, 0], "pos": [[2, 1], [2, 1], [4, 1]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 1], [4, 1], [4, 1], [4, 1]]}, {"patt": [1, 3, 2, 0], "pos": [[1, 1], [4, 1], [4, 1], [4, 1]]}, {"patt": [1, 3, 2, 0], "pos": [[2, 1], [4, 1], [4, 1], [4, 1]]}, {"patt": [1, 3, 2, 0], "pos": [[4, 1], [4, 1], [4, 1], [4, 1]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 1], [4, 1], [4, 1], [4, 1]]}, {"patt": [2, 3, 0, 1], "pos": [[1, 1], [4, 1], [4, 1], [4, 1]]}, {"patt": [2, 3, 0, 1], "pos": [[2, 1], [4, 1], [4, 1], [4, 1]]}, {"patt": [2, 3, 0, 1], "pos": [[4, 1], [4, 1], [4, 1], [4, 1]]}, {"patt": [2, 3, 1, 0], "pos": [[0, 1], [4, 1], [4, 1], [4, 1]]}, {"patt": [2, 3, 1, 0], "pos": [[1, 1], [4, 1], [4, 1], [4, 1]]}, {"patt": [2, 3, 1, 0], "pos": [[2, 1], [4, 1], [4, 1], [4, 1]]}, {"patt": [2, 3, 1, 0], "pos": [[4, 1], [4, 1], [4, 1], [4, 1]]}, {"patt": [3, 1, 0, 2], "pos": [[0, 1], [4, 1], [4, 1], [4, 1]]}, {"patt": [3, 1, 0, 2], "pos": [[1, 1], [4, 1], [4, 1], [4, 1]]}, {"patt": [3, 1, 0, 2], "pos": [[2, 1], [4, 1], [4, 1], [4, 1]]}, {"patt": [3, 1, 0, 2], "pos": [[4, 1], [4, 1], [4, 1], [4, 1]]}, {"patt": [3, 2, 0, 1], "pos": [[0, 1], [4, 1], [4, 1], [4, 1]]}, {"patt": [3, 2, 0, 1], "pos": [[1, 1], [4, 1], [4, 1], [4, 1]]}, {"patt": [3, 2, 0, 1], "pos": [[2, 1], [4, 1], [4, 1], [4, 1]]}, {"patt": [3, 2, 0, 1], "pos": [[4, 1], [4, 1], [4, 1], [4, 1]]}, {"patt": [3, 2, 1, 0], "pos": [[0, 1], [4, 1], [4, 1], [4, 1]]}, {"patt": [3, 2, 1, 0], "pos": [[1, 1], [4, 1], [4, 1], [4, 1]]}, {"patt": [3, 2, 1, 0], "pos": [[2, 1], [4, 1], [4, 1], [4, 1]]}, {"patt": [3, 2, 1, 0], "pos": [[4, 1], [4, 1], [4, 1], [4, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}], [{"patt": [0], "pos": [[1, 1]]}], [{"patt": [0], "pos": [[3, 0]]}], [{"patt": [0], "pos": [[5, 1]]}]], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}]}
Specification 3
Strategy pack name: point_and_row_and_col_placements_req_corrob
Tree: http://permpal.com/tree/25343/
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[12,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[129,x]+F[6,x]+F[7,x]
F[6,x] = 0
F[7,x] = F[12,x]*F[8,x]
F[8,x] = F[4,x]+F[9,x]
F[9,x] = F[10,x]+F[98,x]
F[10,x] = F[11,x]+F[13,x]+F[6,x]
F[11,x] = F[12,x]*F[9,x]
F[12,x] = x
F[13,x] = F[14,x]
F[14,x] = F[12,x]*F[15,x]
F[15,x] = F[16,x]+F[4,x]
F[16,x] = F[17,x]
F[17,x] = F[12,x]*F[18,x]
F[18,x] = F[19,x]+F[94,x]
F[19,x] = F[0,x]*F[20,x]
F[20,x] = F[0,x]+F[21,x]
F[21,x] = F[22,x]
F[22,x] = F[12,x]*F[23,x]
F[23,x] = F[20,x]+F[24,x]+F[92,x]
F[24,x] = F[25,x]
F[25,x] = F[12,x]*F[26,x]
F[26,x] = F[27,x]+F[73,x]
F[27,x] = F[28,x]+F[72,x]
F[28,x] = F[29,x]+F[70,x]
F[29,x] = F[30,x]+F[33,x]
F[30,x] = F[1,x]+F[13,x]+F[31,x]
F[31,x] = F[32,x]
F[32,x] = F[0,x]*F[12,x]*F[4,x]
F[33,x] = F[34,x]
F[34,x] = F[12,x]*F[35,x]
F[35,x] = F[29,x]+F[36,x]+F[68,x]
F[36,x] = F[37,x]
F[37,x] = F[12,x]*F[38,x]
F[38,x] = F[39,x]+F[50,x]
F[39,x] = F[0,x]*F[40,x]
F[40,x] = 1/F[12,x]*F[41,x]
F[41,x] = F[42,x]
F[42,x] = -F[45,x]-F[48,x]+F[43,x]
F[43,x] = 1/F[12,x]*F[44,x]
F[44,x] = F[5,x]
F[45,x] = F[0,x]+F[46,x]
F[46,x] = F[47,x]
F[47,x] = F[12,x]*F[43,x]
F[48,x] = F[49,x]
F[49,x] = F[12,x]*F[26,x]
F[50,x] = F[51,x]
F[51,x] = F[52,x]+F[58,x]
F[52,x] = F[53,x]*F[55,x]
F[53,x] = F[54,x]
F[54,x] = F[12,x]*F[18,x]
F[55,x] = F[1,x]+F[56,x]
F[56,x] = F[57,x]
F[57,x] = F[12,x]*F[55,x]
F[58,x] = F[20,x]*F[59,x]*F[61,x]
F[59,x] = F[60,x]
F[60,x] = F[0,x]^2*F[12,x]
F[61,x] = F[6,x]+F[62,x]+F[67,x]
F[62,x] = F[12,x]*F[63,x]
F[63,x] = F[20,x]+F[64,x]
F[64,x] = F[65,x]
F[65,x] = F[12,x]*F[20,x]*F[66,x]
F[66,x] = F[55,x]+F[61,x]
F[67,x] = F[12,x]*F[61,x]
F[68,x] = F[69,x]
F[69,x] = F[0,x]*F[12,x]*F[26,x]
F[70,x] = F[71,x]
F[71,x] = F[0,x]*F[12,x]*F[27,x]
F[72,x] = -F[29,x]+F[43,x]
F[73,x] = F[74,x]
F[74,x] = F[12,x]*F[75,x]
F[75,x] = F[76,x]+F[82,x]+F[90,x]
F[76,x] = F[0,x]*F[77,x]
F[77,x] = F[45,x]+F[78,x]
F[78,x] = F[12,x]*F[79,x]
F[79,x] = F[43,x]+F[80,x]
F[80,x] = F[81,x]
F[81,x] = F[0,x]*F[12,x]*F[79,x]
F[82,x] = F[83,x]
F[83,x] = F[12,x]*F[84,x]
F[84,x] = F[52,x]+F[85,x]
F[85,x] = F[0,x]*F[86,x]
F[86,x] = 1/F[12,x]*F[87,x]
F[87,x] = -F[77,x]-F[89,x]+F[88,x]
F[88,x] = F[74,x]+F[76,x]
F[89,x] = F[12,x]*F[88,x]
F[90,x] = F[91,x]
F[91,x] = F[0,x]*F[12,x]*F[88,x]
F[92,x] = F[93,x]
F[93,x] = F[12,x]*F[40,x]
F[94,x] = F[95,x]
F[95,x] = F[12,x]*F[96,x]
F[96,x] = F[52,x]+F[97,x]
F[97,x] = F[20,x]^2*F[0,x]
F[98,x] = F[99,x]
F[99,x] = F[100,x]*F[12,x]
F[100,x] = F[101,x]+F[102,x]
F[101,x] = F[2,x]*F[23,x]
F[102,x] = F[103,x]+F[111,x]
F[103,x] = F[104,x]
F[104,x] = F[105,x]*F[12,x]
F[105,x] = F[106,x]+F[23,x]
F[106,x] = F[107,x]
F[107,x] = F[108,x]*F[12,x]*F[20,x]
F[108,x] = F[109,x]+F[66,x]
F[109,x] = F[110,x]
F[110,x] = F[12,x]*F[79,x]
F[111,x] = F[112,x]*F[12,x]
F[112,x] = F[113,x]+F[115,x]
F[113,x] = F[114,x]
F[114,x] = F[0,x]*F[105,x]*F[12,x]*F[4,x]
F[115,x] = F[116,x]
F[116,x] = F[117,x]+F[128,x]+F[6,x]
F[117,x] = F[118,x]
F[118,x] = F[119,x]*F[12,x]*F[127,x]*F[55,x]
F[119,x] = F[120,x]
F[120,x] = F[12,x]*F[121,x]
F[121,x] = F[122,x]+F[123,x]
F[122,x] = F[0,x]*F[45,x]
F[123,x] = F[124,x]
F[124,x] = F[12,x]*F[125,x]
F[125,x] = F[126,x]+F[52,x]
F[126,x] = F[0,x]*F[20,x]*F[45,x]
F[127,x] = F[55,x]+F[56,x]
F[128,x] = F[105,x]*F[12,x]*F[4,x]
F[129,x] = F[12,x]*F[130,x]
F[130,x] = F[131,x]
F[131,x] = F[12,x]*F[132,x]
F[132,x] = F[133,x]+F[139,x]+F[230,x]
F[133,x] = F[134,x]+F[29,x]
F[134,x] = F[135,x]+F[137,x]+F[6,x]
F[135,x] = -F[136,x]-F[6,x]+F[72,x]
F[136,x] = F[12,x]*F[132,x]
F[137,x] = F[138,x]
F[138,x] = F[12,x]*F[121,x]
F[139,x] = F[140,x]
F[140,x] = F[12,x]*F[141,x]
F[141,x] = F[142,x]+F[150,x]
F[142,x] = F[143,x]+F[39,x]
F[143,x] = F[144,x]
F[144,x] = F[145,x]+F[149,x]
F[145,x] = F[146,x]*F[55,x]
F[146,x] = F[147,x]+F[53,x]
F[147,x] = F[148,x]
F[148,x] = F[12,x]*F[51,x]
F[149,x] = F[59,x]*F[61,x]*F[63,x]
F[150,x] = F[151,x]
F[151,x] = F[152,x]
F[152,x] = F[12,x]*F[153,x]
F[153,x] = F[154,x]+F[156,x]
F[154,x] = F[0,x]*F[155,x]
F[155,x] = F[52,x]+F[85,x]
F[156,x] = F[157,x]*F[55,x]
F[157,x] = -F[228,x]+F[158,x]
F[158,x] = 1/F[12,x]*F[159,x]
F[159,x] = F[160,x]
F[160,x] = -F[30,x]+F[161,x]
F[161,x] = F[1,x]+F[162,x]+F[164,x]+F[166,x]
F[162,x] = F[163,x]
F[163,x] = F[0,x]^2*F[12,x]*F[4,x]
F[164,x] = F[165,x]
F[165,x] = F[0,x]*F[12,x]*F[15,x]
F[166,x] = -F[1,x]-F[164,x]-F[219,x]+F[167,x]
F[167,x] = F[168,x]+F[169,x]
F[168,x] = F[0,x]+F[10,x]
F[169,x] = F[170,x]
F[170,x] = F[12,x]*F[171,x]
F[171,x] = F[172,x]+F[175,x]
F[172,x] = F[0,x]*F[173,x]
F[173,x] = 1/F[12,x]*F[174,x]
F[174,x] = F[10,x]
F[175,x] = F[176,x]+F[177,x]
F[176,x] = F[53,x]
F[177,x] = F[178,x]
F[178,x] = F[12,x]*F[179,x]
F[179,x] = F[180,x]+F[218,x]
F[180,x] = F[181,x]
F[181,x] = F[182,x]*F[20,x]
F[182,x] = 1/F[12,x]/F[20,x]*F[183,x]
F[183,x] = F[184,x]
F[184,x] = -F[134,x]+F[185,x]
F[185,x] = F[186,x]+F[200,x]+F[6,x]
F[186,x] = F[187,x]
F[187,x] = -F[189,x]-2*F[6,x]+F[188,x]
F[188,x] = 1/F[12,x]*F[135,x]
F[189,x] = F[190,x]
F[190,x] = F[12,x]*F[191,x]
F[191,x] = F[192,x]+F[193,x]
F[192,x] = F[0,x]*F[43,x]
F[193,x] = F[194,x]
F[194,x] = F[12,x]*F[195,x]
F[195,x] = F[196,x]+F[197,x]
F[196,x] = F[0,x]*F[43,x]*F[45,x]
F[197,x] = F[198,x]
F[198,x] = F[55,x]^2*F[199,x]
F[199,x] = F[138,x]
F[200,x] = -F[187,x]-F[207,x]-F[6,x]+F[201,x]
F[201,x] = F[134,x]+F[202,x]+F[206,x]
F[202,x] = F[203,x]
F[203,x] = F[12,x]*F[204,x]
F[204,x] = F[205,x]
F[205,x] = F[0,x]^2*F[12,x]*F[86,x]
F[206,x] = F[12,x]*F[201,x]
F[207,x] = -F[187,x]-F[211,x]-F[6,x]+F[208,x]
F[208,x] = F[134,x]+F[206,x]+F[209,x]
F[209,x] = F[210,x]
F[210,x] = F[12,x]*F[151,x]
F[211,x] = F[212,x]
F[212,x] = F[12,x]*F[213,x]
F[213,x] = F[121,x]+F[214,x]
F[214,x] = F[215,x]
F[215,x] = F[12,x]*F[216,x]
F[216,x] = F[156,x]+F[217,x]
F[217,x] = F[0,x]*F[125,x]
F[218,x] = F[51,x]
F[219,x] = -F[1,x]-F[220,x]-F[223,x]+F[8,x]
F[220,x] = F[221,x]
F[221,x] = F[0,x]*F[12,x]*F[222,x]
F[222,x] = F[130,x]+F[4,x]
F[223,x] = F[224,x]
F[224,x] = F[12,x]*F[225,x]
F[225,x] = F[15,x]+F[226,x]
F[226,x] = F[227,x]
F[227,x] = F[12,x]*F[191,x]
F[228,x] = F[0,x]*F[229,x]
F[229,x] = F[19,x]+F[53,x]
F[230,x] = F[231,x]
F[231,x] = F[12,x]*F[232,x]
F[232,x] = F[201,x]+F[233,x]
F[233,x] = F[234,x]+F[242,x]+F[244,x]+F[28,x]
F[234,x] = F[235,x]
F[235,x] = F[12,x]*F[236,x]
F[236,x] = F[143,x]+F[237,x]
F[237,x] = F[0,x]*F[238,x]
F[238,x] = 1/F[12,x]*F[239,x]
F[239,x] = F[240,x]
F[240,x] = -F[241,x]-F[48,x]-F[77,x]+F[26,x]
F[241,x] = F[89,x]
F[242,x] = F[243,x]
F[243,x] = F[12,x]*F[233,x]
F[244,x] = F[91,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_{12}\! \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_{129}\! \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_{12}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{4}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{98}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)+F_{13}\! \left(x \right)+F_{6}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right) F_{9}\! \left(x \right)
F_{12}\! \left(x \right) = x
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)
F_{14}\! \left(x \right) = F_{12}\! \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) = F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{12}\! \left(x \right) F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)+F_{94}\! \left(x \right)
F_{19}\! \left(x \right) = F_{0}\! \left(x \right) F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{0}\! \left(x \right)+F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{12}\! \left(x \right) F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{20}\! \left(x \right)+F_{24}\! \left(x \right)+F_{92}\! \left(x \right)
F_{24}\! \left(x \right) = F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{12}\! \left(x \right) F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)+F_{73}\! \left(x \right)
F_{27}\! \left(x \right) = F_{28}\! \left(x \right)+F_{72}\! \left(x \right)
F_{28}\! \left(x \right) = F_{29}\! \left(x \right)+F_{70}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)+F_{33}\! \left(x \right)
F_{30}\! \left(x \right) = F_{1}\! \left(x \right)+F_{13}\! \left(x \right)+F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{0}\! \left(x \right) F_{12}\! \left(x \right) F_{4}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = F_{12}\! \left(x \right) F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{29}\! \left(x \right)+F_{36}\! \left(x \right)+F_{68}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{12}\! \left(x \right) F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)+F_{50}\! \left(x \right)
F_{39}\! \left(x \right) = F_{0}\! \left(x \right) F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = \frac{F_{41}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = -F_{45}\! \left(x \right)-F_{48}\! \left(x \right)+F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = \frac{F_{44}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{44}\! \left(x \right) = F_{5}\! \left(x \right)
F_{45}\! \left(x \right) = F_{0}\! \left(x \right)+F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{12}\! \left(x \right) F_{43}\! \left(x \right)
F_{48}\! \left(x \right) = F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{12}\! \left(x \right) F_{26}\! \left(x \right)
F_{50}\! \left(x \right) = F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{52}\! \left(x \right)+F_{58}\! \left(x \right)
F_{52}\! \left(x \right) = F_{53}\! \left(x \right) F_{55}\! \left(x \right)
F_{53}\! \left(x \right) = F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{12}\! \left(x \right) F_{18}\! \left(x \right)
F_{55}\! \left(x \right) = F_{1}\! \left(x \right)+F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = F_{12}\! \left(x \right) F_{55}\! \left(x \right)
F_{58}\! \left(x \right) = F_{20}\! \left(x \right) F_{59}\! \left(x \right) F_{61}\! \left(x \right)
F_{59}\! \left(x \right) = F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{0} \left(x \right)^{2} F_{12}\! \left(x \right)
F_{61}\! \left(x \right) = F_{6}\! \left(x \right)+F_{62}\! \left(x \right)+F_{67}\! \left(x \right)
F_{62}\! \left(x \right) = F_{12}\! \left(x \right) F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{20}\! \left(x \right)+F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{12}\! \left(x \right) F_{20}\! \left(x \right) F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{55}\! \left(x \right)+F_{61}\! \left(x \right)
F_{67}\! \left(x \right) = F_{12}\! \left(x \right) F_{61}\! \left(x \right)
F_{68}\! \left(x \right) = F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{0}\! \left(x \right) F_{12}\! \left(x \right) F_{26}\! \left(x \right)
F_{70}\! \left(x \right) = F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{0}\! \left(x \right) F_{12}\! \left(x \right) F_{27}\! \left(x \right)
F_{72}\! \left(x \right) = -F_{29}\! \left(x \right)+F_{43}\! \left(x \right)
F_{73}\! \left(x \right) = F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{12}\! \left(x \right) F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{76}\! \left(x \right)+F_{82}\! \left(x \right)+F_{90}\! \left(x \right)
F_{76}\! \left(x \right) = F_{0}\! \left(x \right) F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{45}\! \left(x \right)+F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{12}\! \left(x \right) F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{43}\! \left(x \right)+F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{0}\! \left(x \right) F_{12}\! \left(x \right) F_{79}\! \left(x \right)
F_{82}\! \left(x \right) = F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = F_{12}\! \left(x \right) F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{52}\! \left(x \right)+F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{0}\! \left(x \right) F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = \frac{F_{87}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{87}\! \left(x \right) = -F_{77}\! \left(x \right)-F_{89}\! \left(x \right)+F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{74}\! \left(x \right)+F_{76}\! \left(x \right)
F_{89}\! \left(x \right) = F_{12}\! \left(x \right) F_{88}\! \left(x \right)
F_{90}\! \left(x \right) = F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = F_{0}\! \left(x \right) F_{12}\! \left(x \right) F_{88}\! \left(x \right)
F_{92}\! \left(x \right) = F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{12}\! \left(x \right) F_{40}\! \left(x \right)
F_{94}\! \left(x \right) = F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{12}\! \left(x \right) F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{52}\! \left(x \right)+F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{20} \left(x \right)^{2} F_{0}\! \left(x \right)
F_{98}\! \left(x \right) = F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right) F_{12}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)+F_{102}\! \left(x \right)
F_{101}\! \left(x \right) = F_{2}\! \left(x \right) F_{23}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)+F_{111}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x \right) F_{12}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x \right)+F_{23}\! \left(x \right)
F_{106}\! \left(x \right) = F_{107}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right) F_{12}\! \left(x \right) F_{20}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)+F_{66}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right)
F_{110}\! \left(x \right) = F_{12}\! \left(x \right) F_{79}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right) F_{12}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)+F_{115}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right)
F_{114}\! \left(x \right) = F_{0}\! \left(x \right) F_{105}\! \left(x \right) F_{12}\! \left(x \right) F_{4}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right)
F_{116}\! \left(x \right) = F_{117}\! \left(x \right)+F_{128}\! \left(x \right)+F_{6}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right) F_{12}\! \left(x \right) F_{127}\! \left(x \right) F_{55}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)
F_{120}\! \left(x \right) = F_{12}\! \left(x \right) F_{121}\! \left(x \right)
F_{121}\! \left(x \right) = F_{122}\! \left(x \right)+F_{123}\! \left(x \right)
F_{122}\! \left(x \right) = F_{0}\! \left(x \right) F_{45}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right)
F_{124}\! \left(x \right) = F_{12}\! \left(x \right) F_{125}\! \left(x \right)
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)+F_{52}\! \left(x \right)
F_{126}\! \left(x \right) = F_{0}\! \left(x \right) F_{20}\! \left(x \right) F_{45}\! \left(x \right)
F_{127}\! \left(x \right) = F_{55}\! \left(x \right)+F_{56}\! \left(x \right)
F_{128}\! \left(x \right) = F_{105}\! \left(x \right) F_{12}\! \left(x \right) F_{4}\! \left(x \right)
F_{129}\! \left(x \right) = F_{12}\! \left(x \right) F_{130}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right)
F_{131}\! \left(x \right) = F_{12}\! \left(x \right) F_{132}\! \left(x \right)
F_{132}\! \left(x \right) = F_{133}\! \left(x \right)+F_{139}\! \left(x \right)+F_{230}\! \left(x \right)
F_{133}\! \left(x \right) = F_{134}\! \left(x \right)+F_{29}\! \left(x \right)
F_{134}\! \left(x \right) = F_{135}\! \left(x \right)+F_{137}\! \left(x \right)+F_{6}\! \left(x \right)
F_{135}\! \left(x \right) = -F_{136}\! \left(x \right)-F_{6}\! \left(x \right)+F_{72}\! \left(x \right)
F_{136}\! \left(x \right) = F_{12}\! \left(x \right) F_{132}\! \left(x \right)
F_{137}\! \left(x \right) = F_{138}\! \left(x \right)
F_{138}\! \left(x \right) = F_{12}\! \left(x \right) F_{121}\! \left(x \right)
F_{139}\! \left(x \right) = F_{140}\! \left(x \right)
F_{140}\! \left(x \right) = F_{12}\! \left(x \right) F_{141}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right)+F_{150}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right)+F_{39}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right)
F_{144}\! \left(x \right) = F_{145}\! \left(x \right)+F_{149}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right) F_{55}\! \left(x \right)
F_{146}\! \left(x \right) = F_{147}\! \left(x \right)+F_{53}\! \left(x \right)
F_{147}\! \left(x \right) = F_{148}\! \left(x \right)
F_{148}\! \left(x \right) = F_{12}\! \left(x \right) F_{51}\! \left(x \right)
F_{149}\! \left(x \right) = F_{59}\! \left(x \right) F_{61}\! \left(x \right) F_{63}\! \left(x \right)
F_{150}\! \left(x \right) = F_{151}\! \left(x \right)
F_{151}\! \left(x \right) = F_{152}\! \left(x \right)
F_{152}\! \left(x \right) = F_{12}\! \left(x \right) F_{153}\! \left(x \right)
F_{153}\! \left(x \right) = F_{154}\! \left(x \right)+F_{156}\! \left(x \right)
F_{154}\! \left(x \right) = F_{0}\! \left(x \right) F_{155}\! \left(x \right)
F_{155}\! \left(x \right) = F_{52}\! \left(x \right)+F_{85}\! \left(x \right)
F_{156}\! \left(x \right) = F_{157}\! \left(x \right) F_{55}\! \left(x \right)
F_{157}\! \left(x \right) = -F_{228}\! \left(x \right)+F_{158}\! \left(x \right)
F_{158}\! \left(x \right) = \frac{F_{159}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{159}\! \left(x \right) = F_{160}\! \left(x \right)
F_{160}\! \left(x \right) = -F_{30}\! \left(x \right)+F_{161}\! \left(x \right)
F_{161}\! \left(x \right) = F_{1}\! \left(x \right)+F_{162}\! \left(x \right)+F_{164}\! \left(x \right)+F_{166}\! \left(x \right)
F_{162}\! \left(x \right) = F_{163}\! \left(x \right)
F_{163}\! \left(x \right) = F_{0} \left(x \right)^{2} F_{12}\! \left(x \right) F_{4}\! \left(x \right)
F_{164}\! \left(x \right) = F_{165}\! \left(x \right)
F_{165}\! \left(x \right) = F_{0}\! \left(x \right) F_{12}\! \left(x \right) F_{15}\! \left(x \right)
F_{166}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{164}\! \left(x \right)-F_{219}\! \left(x \right)+F_{167}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right)+F_{169}\! \left(x \right)
F_{168}\! \left(x \right) = F_{0}\! \left(x \right)+F_{10}\! \left(x \right)
F_{169}\! \left(x \right) = F_{170}\! \left(x \right)
F_{170}\! \left(x \right) = F_{12}\! \left(x \right) F_{171}\! \left(x \right)
F_{171}\! \left(x \right) = F_{172}\! \left(x \right)+F_{175}\! \left(x \right)
F_{172}\! \left(x \right) = F_{0}\! \left(x \right) F_{173}\! \left(x \right)
F_{173}\! \left(x \right) = \frac{F_{174}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{174}\! \left(x \right) = F_{10}\! \left(x \right)
F_{175}\! \left(x \right) = F_{176}\! \left(x \right)+F_{177}\! \left(x \right)
F_{176}\! \left(x \right) = F_{53}\! \left(x \right)
F_{177}\! \left(x \right) = F_{178}\! \left(x \right)
F_{178}\! \left(x \right) = F_{12}\! \left(x \right) F_{179}\! \left(x \right)
F_{179}\! \left(x \right) = F_{180}\! \left(x \right)+F_{218}\! \left(x \right)
F_{180}\! \left(x \right) = F_{181}\! \left(x \right)
F_{181}\! \left(x \right) = F_{182}\! \left(x \right) F_{20}\! \left(x \right)
F_{182}\! \left(x \right) = \frac{F_{183}\! \left(x \right)}{F_{12}\! \left(x \right) F_{20}\! \left(x \right)}
F_{183}\! \left(x \right) = F_{184}\! \left(x \right)
F_{184}\! \left(x \right) = -F_{134}\! \left(x \right)+F_{185}\! \left(x \right)
F_{185}\! \left(x \right) = F_{186}\! \left(x \right)+F_{200}\! \left(x \right)+F_{6}\! \left(x \right)
F_{186}\! \left(x \right) = F_{187}\! \left(x \right)
F_{187}\! \left(x \right) = -F_{189}\! \left(x \right)-2 F_{6}\! \left(x \right)+F_{188}\! \left(x \right)
F_{188}\! \left(x \right) = \frac{F_{135}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{189}\! \left(x \right) = F_{190}\! \left(x \right)
F_{190}\! \left(x \right) = F_{12}\! \left(x \right) F_{191}\! \left(x \right)
F_{191}\! \left(x \right) = F_{192}\! \left(x \right)+F_{193}\! \left(x \right)
F_{192}\! \left(x \right) = F_{0}\! \left(x \right) F_{43}\! \left(x \right)
F_{193}\! \left(x \right) = F_{194}\! \left(x \right)
F_{194}\! \left(x \right) = F_{12}\! \left(x \right) F_{195}\! \left(x \right)
F_{195}\! \left(x \right) = F_{196}\! \left(x \right)+F_{197}\! \left(x \right)
F_{196}\! \left(x \right) = F_{0}\! \left(x \right) F_{43}\! \left(x \right) F_{45}\! \left(x \right)
F_{197}\! \left(x \right) = F_{198}\! \left(x \right)
F_{198}\! \left(x \right) = F_{55} \left(x \right)^{2} F_{199}\! \left(x \right)
F_{199}\! \left(x \right) = F_{138}\! \left(x \right)
F_{200}\! \left(x \right) = -F_{187}\! \left(x \right)-F_{207}\! \left(x \right)-F_{6}\! \left(x \right)+F_{201}\! \left(x \right)
F_{201}\! \left(x \right) = F_{134}\! \left(x \right)+F_{202}\! \left(x \right)+F_{206}\! \left(x \right)
F_{202}\! \left(x \right) = F_{203}\! \left(x \right)
F_{203}\! \left(x \right) = F_{12}\! \left(x \right) F_{204}\! \left(x \right)
F_{204}\! \left(x \right) = F_{205}\! \left(x \right)
F_{205}\! \left(x \right) = F_{0} \left(x \right)^{2} F_{12}\! \left(x \right) F_{86}\! \left(x \right)
F_{206}\! \left(x \right) = F_{12}\! \left(x \right) F_{201}\! \left(x \right)
F_{207}\! \left(x \right) = -F_{187}\! \left(x \right)-F_{211}\! \left(x \right)-F_{6}\! \left(x \right)+F_{208}\! \left(x \right)
F_{208}\! \left(x \right) = F_{134}\! \left(x \right)+F_{206}\! \left(x \right)+F_{209}\! \left(x \right)
F_{209}\! \left(x \right) = F_{210}\! \left(x \right)
F_{210}\! \left(x \right) = F_{12}\! \left(x \right) F_{151}\! \left(x \right)
F_{211}\! \left(x \right) = F_{212}\! \left(x \right)
F_{212}\! \left(x \right) = F_{12}\! \left(x \right) F_{213}\! \left(x \right)
F_{213}\! \left(x \right) = F_{121}\! \left(x \right)+F_{214}\! \left(x \right)
F_{214}\! \left(x \right) = F_{215}\! \left(x \right)
F_{215}\! \left(x \right) = F_{12}\! \left(x \right) F_{216}\! \left(x \right)
F_{216}\! \left(x \right) = F_{156}\! \left(x \right)+F_{217}\! \left(x \right)
F_{217}\! \left(x \right) = F_{0}\! \left(x \right) F_{125}\! \left(x \right)
F_{218}\! \left(x \right) = F_{51}\! \left(x \right)
F_{219}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{220}\! \left(x \right)-F_{223}\! \left(x \right)+F_{8}\! \left(x \right)
F_{220}\! \left(x \right) = F_{221}\! \left(x \right)
F_{221}\! \left(x \right) = F_{0}\! \left(x \right) F_{12}\! \left(x \right) F_{222}\! \left(x \right)
F_{222}\! \left(x \right) = F_{130}\! \left(x \right)+F_{4}\! \left(x \right)
F_{223}\! \left(x \right) = F_{224}\! \left(x \right)
F_{224}\! \left(x \right) = F_{12}\! \left(x \right) F_{225}\! \left(x \right)
F_{225}\! \left(x \right) = F_{15}\! \left(x \right)+F_{226}\! \left(x \right)
F_{226}\! \left(x \right) = F_{227}\! \left(x \right)
F_{227}\! \left(x \right) = F_{12}\! \left(x \right) F_{191}\! \left(x \right)
F_{228}\! \left(x \right) = F_{0}\! \left(x \right) F_{229}\! \left(x \right)
F_{229}\! \left(x \right) = F_{19}\! \left(x \right)+F_{53}\! \left(x \right)
F_{230}\! \left(x \right) = F_{231}\! \left(x \right)
F_{231}\! \left(x \right) = F_{12}\! \left(x \right) F_{232}\! \left(x \right)
F_{232}\! \left(x \right) = F_{201}\! \left(x \right)+F_{233}\! \left(x \right)
F_{233}\! \left(x \right) = F_{234}\! \left(x \right)+F_{242}\! \left(x \right)+F_{244}\! \left(x \right)+F_{28}\! \left(x \right)
F_{234}\! \left(x \right) = F_{235}\! \left(x \right)
F_{235}\! \left(x \right) = F_{12}\! \left(x \right) F_{236}\! \left(x \right)
F_{236}\! \left(x \right) = F_{143}\! \left(x \right)+F_{237}\! \left(x \right)
F_{237}\! \left(x \right) = F_{0}\! \left(x \right) F_{238}\! \left(x \right)
F_{238}\! \left(x \right) = \frac{F_{239}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{239}\! \left(x \right) = F_{240}\! \left(x \right)
F_{240}\! \left(x \right) = -F_{241}\! \left(x \right)-F_{48}\! \left(x \right)-F_{77}\! \left(x \right)+F_{26}\! \left(x \right)
F_{241}\! \left(x \right) = F_{89}\! \left(x \right)
F_{242}\! \left(x \right) = F_{243}\! \left(x \right)
F_{243}\! \left(x \right) = F_{12}\! \left(x \right) F_{233}\! \left(x \right)
F_{244}\! \left(x \right) = F_{91}\! \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_12(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_129(x) + F_6(x) + F_7(x))
Eq(F_6(x), 0)
Eq(F_7(x), F_12(x)*F_8(x))
Eq(F_8(x), F_4(x) + F_9(x))
Eq(F_9(x), F_10(x) + F_98(x))
Eq(F_10(x), F_11(x) + F_13(x) + F_6(x))
Eq(F_11(x), F_12(x)*F_9(x))
Eq(F_12(x), x)
Eq(F_13(x), F_14(x))
Eq(F_14(x), F_12(x)*F_15(x))
Eq(F_15(x), F_16(x) + F_4(x))
Eq(F_16(x), F_17(x))
Eq(F_17(x), F_12(x)*F_18(x))
Eq(F_18(x), F_19(x) + F_94(x))
Eq(F_19(x), F_0(x)*F_20(x))
Eq(F_20(x), F_0(x) + F_21(x))
Eq(F_21(x), F_22(x))
Eq(F_22(x), F_12(x)*F_23(x))
Eq(F_23(x), F_20(x) + F_24(x) + F_92(x))
Eq(F_24(x), F_25(x))
Eq(F_25(x), F_12(x)*F_26(x))
Eq(F_26(x), F_27(x) + F_73(x))
Eq(F_27(x), F_28(x) + F_72(x))
Eq(F_28(x), F_29(x) + F_70(x))
Eq(F_29(x), F_30(x) + F_33(x))
Eq(F_30(x), F_1(x) + F_13(x) + F_31(x))
Eq(F_31(x), F_32(x))
Eq(F_32(x), F_0(x)*F_12(x)*F_4(x))
Eq(F_33(x), F_34(x))
Eq(F_34(x), F_12(x)*F_35(x))
Eq(F_35(x), F_29(x) + F_36(x) + F_68(x))
Eq(F_36(x), F_37(x))
Eq(F_37(x), F_12(x)*F_38(x))
Eq(F_38(x), F_39(x) + F_50(x))
Eq(F_39(x), F_0(x)*F_40(x))
Eq(F_40(x), F_41(x)/F_12(x))
Eq(F_41(x), F_42(x))
Eq(F_42(x), F_43(x) - F_45(x) - F_48(x))
Eq(F_43(x), F_44(x)/F_12(x))
Eq(F_44(x), F_5(x))
Eq(F_45(x), F_0(x) + F_46(x))
Eq(F_46(x), F_47(x))
Eq(F_47(x), F_12(x)*F_43(x))
Eq(F_48(x), F_49(x))
Eq(F_49(x), F_12(x)*F_26(x))
Eq(F_50(x), F_51(x))
Eq(F_51(x), F_52(x) + F_58(x))
Eq(F_52(x), F_53(x)*F_55(x))
Eq(F_53(x), F_54(x))
Eq(F_54(x), F_12(x)*F_18(x))
Eq(F_55(x), F_1(x) + F_56(x))
Eq(F_56(x), F_57(x))
Eq(F_57(x), F_12(x)*F_55(x))
Eq(F_58(x), F_20(x)*F_59(x)*F_61(x))
Eq(F_59(x), F_60(x))
Eq(F_60(x), F_0(x)**2*F_12(x))
Eq(F_61(x), F_6(x) + F_62(x) + F_67(x))
Eq(F_62(x), F_12(x)*F_63(x))
Eq(F_63(x), F_20(x) + F_64(x))
Eq(F_64(x), F_65(x))
Eq(F_65(x), F_12(x)*F_20(x)*F_66(x))
Eq(F_66(x), F_55(x) + F_61(x))
Eq(F_67(x), F_12(x)*F_61(x))
Eq(F_68(x), F_69(x))
Eq(F_69(x), F_0(x)*F_12(x)*F_26(x))
Eq(F_70(x), F_71(x))
Eq(F_71(x), F_0(x)*F_12(x)*F_27(x))
Eq(F_72(x), -F_29(x) + F_43(x))
Eq(F_73(x), F_74(x))
Eq(F_74(x), F_12(x)*F_75(x))
Eq(F_75(x), F_76(x) + F_82(x) + F_90(x))
Eq(F_76(x), F_0(x)*F_77(x))
Eq(F_77(x), F_45(x) + F_78(x))
Eq(F_78(x), F_12(x)*F_79(x))
Eq(F_79(x), F_43(x) + F_80(x))
Eq(F_80(x), F_81(x))
Eq(F_81(x), F_0(x)*F_12(x)*F_79(x))
Eq(F_82(x), F_83(x))
Eq(F_83(x), F_12(x)*F_84(x))
Eq(F_84(x), F_52(x) + F_85(x))
Eq(F_85(x), F_0(x)*F_86(x))
Eq(F_86(x), F_87(x)/F_12(x))
Eq(F_87(x), -F_77(x) + F_88(x) - F_89(x))
Eq(F_88(x), F_74(x) + F_76(x))
Eq(F_89(x), F_12(x)*F_88(x))
Eq(F_90(x), F_91(x))
Eq(F_91(x), F_0(x)*F_12(x)*F_88(x))
Eq(F_92(x), F_93(x))
Eq(F_93(x), F_12(x)*F_40(x))
Eq(F_94(x), F_95(x))
Eq(F_95(x), F_12(x)*F_96(x))
Eq(F_96(x), F_52(x) + F_97(x))
Eq(F_97(x), F_0(x)*F_20(x)**2)
Eq(F_98(x), F_99(x))
Eq(F_99(x), F_100(x)*F_12(x))
Eq(F_100(x), F_101(x) + F_102(x))
Eq(F_101(x), F_2(x)*F_23(x))
Eq(F_102(x), F_103(x) + F_111(x))
Eq(F_103(x), F_104(x))
Eq(F_104(x), F_105(x)*F_12(x))
Eq(F_105(x), F_106(x) + F_23(x))
Eq(F_106(x), F_107(x))
Eq(F_107(x), F_108(x)*F_12(x)*F_20(x))
Eq(F_108(x), F_109(x) + F_66(x))
Eq(F_109(x), F_110(x))
Eq(F_110(x), F_12(x)*F_79(x))
Eq(F_111(x), F_112(x)*F_12(x))
Eq(F_112(x), F_113(x) + F_115(x))
Eq(F_113(x), F_114(x))
Eq(F_114(x), F_0(x)*F_105(x)*F_12(x)*F_4(x))
Eq(F_115(x), F_116(x))
Eq(F_116(x), F_117(x) + F_128(x) + F_6(x))
Eq(F_117(x), F_118(x))
Eq(F_118(x), F_119(x)*F_12(x)*F_127(x)*F_55(x))
Eq(F_119(x), F_120(x))
Eq(F_120(x), F_12(x)*F_121(x))
Eq(F_121(x), F_122(x) + F_123(x))
Eq(F_122(x), F_0(x)*F_45(x))
Eq(F_123(x), F_124(x))
Eq(F_124(x), F_12(x)*F_125(x))
Eq(F_125(x), F_126(x) + F_52(x))
Eq(F_126(x), F_0(x)*F_20(x)*F_45(x))
Eq(F_127(x), F_55(x) + F_56(x))
Eq(F_128(x), F_105(x)*F_12(x)*F_4(x))
Eq(F_129(x), F_12(x)*F_130(x))
Eq(F_130(x), F_131(x))
Eq(F_131(x), F_12(x)*F_132(x))
Eq(F_132(x), F_133(x) + F_139(x) + F_230(x))
Eq(F_133(x), F_134(x) + F_29(x))
Eq(F_134(x), F_135(x) + F_137(x) + F_6(x))
Eq(F_135(x), -F_136(x) - F_6(x) + F_72(x))
Eq(F_136(x), F_12(x)*F_132(x))
Eq(F_137(x), F_138(x))
Eq(F_138(x), F_12(x)*F_121(x))
Eq(F_139(x), F_140(x))
Eq(F_140(x), F_12(x)*F_141(x))
Eq(F_141(x), F_142(x) + F_150(x))
Eq(F_142(x), F_143(x) + F_39(x))
Eq(F_143(x), F_144(x))
Eq(F_144(x), F_145(x) + F_149(x))
Eq(F_145(x), F_146(x)*F_55(x))
Eq(F_146(x), F_147(x) + F_53(x))
Eq(F_147(x), F_148(x))
Eq(F_148(x), F_12(x)*F_51(x))
Eq(F_149(x), F_59(x)*F_61(x)*F_63(x))
Eq(F_150(x), F_151(x))
Eq(F_151(x), F_152(x))
Eq(F_152(x), F_12(x)*F_153(x))
Eq(F_153(x), F_154(x) + F_156(x))
Eq(F_154(x), F_0(x)*F_155(x))
Eq(F_155(x), F_52(x) + F_85(x))
Eq(F_156(x), F_157(x)*F_55(x))
Eq(F_157(x), F_158(x) - F_228(x))
Eq(F_158(x), F_159(x)/F_12(x))
Eq(F_159(x), F_160(x))
Eq(F_160(x), F_161(x) - F_30(x))
Eq(F_161(x), F_1(x) + F_162(x) + F_164(x) + F_166(x))
Eq(F_162(x), F_163(x))
Eq(F_163(x), F_0(x)**2*F_12(x)*F_4(x))
Eq(F_164(x), F_165(x))
Eq(F_165(x), F_0(x)*F_12(x)*F_15(x))
Eq(F_166(x), -F_1(x) - F_164(x) + F_167(x) - F_219(x))
Eq(F_167(x), F_168(x) + F_169(x))
Eq(F_168(x), F_0(x) + F_10(x))
Eq(F_169(x), F_170(x))
Eq(F_170(x), F_12(x)*F_171(x))
Eq(F_171(x), F_172(x) + F_175(x))
Eq(F_172(x), F_0(x)*F_173(x))
Eq(F_173(x), F_174(x)/F_12(x))
Eq(F_174(x), F_10(x))
Eq(F_175(x), F_176(x) + F_177(x))
Eq(F_176(x), F_53(x))
Eq(F_177(x), F_178(x))
Eq(F_178(x), F_12(x)*F_179(x))
Eq(F_179(x), F_180(x) + F_218(x))
Eq(F_180(x), F_181(x))
Eq(F_181(x), F_182(x)*F_20(x))
Eq(F_182(x), F_183(x)/(F_12(x)*F_20(x)))
Eq(F_183(x), F_184(x))
Eq(F_184(x), -F_134(x) + F_185(x))
Eq(F_185(x), F_186(x) + F_200(x) + F_6(x))
Eq(F_186(x), F_187(x))
Eq(F_187(x), F_188(x) - F_189(x) - 2*F_6(x))
Eq(F_188(x), F_135(x)/F_12(x))
Eq(F_189(x), F_190(x))
Eq(F_190(x), F_12(x)*F_191(x))
Eq(F_191(x), F_192(x) + F_193(x))
Eq(F_192(x), F_0(x)*F_43(x))
Eq(F_193(x), F_194(x))
Eq(F_194(x), F_12(x)*F_195(x))
Eq(F_195(x), F_196(x) + F_197(x))
Eq(F_196(x), F_0(x)*F_43(x)*F_45(x))
Eq(F_197(x), F_198(x))
Eq(F_198(x), F_199(x)*F_55(x)**2)
Eq(F_199(x), F_138(x))
Eq(F_200(x), -F_187(x) + F_201(x) - F_207(x) - F_6(x))
Eq(F_201(x), F_134(x) + F_202(x) + F_206(x))
Eq(F_202(x), F_203(x))
Eq(F_203(x), F_12(x)*F_204(x))
Eq(F_204(x), F_205(x))
Eq(F_205(x), F_0(x)**2*F_12(x)*F_86(x))
Eq(F_206(x), F_12(x)*F_201(x))
Eq(F_207(x), -F_187(x) + F_208(x) - F_211(x) - F_6(x))
Eq(F_208(x), F_134(x) + F_206(x) + F_209(x))
Eq(F_209(x), F_210(x))
Eq(F_210(x), F_12(x)*F_151(x))
Eq(F_211(x), F_212(x))
Eq(F_212(x), F_12(x)*F_213(x))
Eq(F_213(x), F_121(x) + F_214(x))
Eq(F_214(x), F_215(x))
Eq(F_215(x), F_12(x)*F_216(x))
Eq(F_216(x), F_156(x) + F_217(x))
Eq(F_217(x), F_0(x)*F_125(x))
Eq(F_218(x), F_51(x))
Eq(F_219(x), -F_1(x) - F_220(x) - F_223(x) + F_8(x))
Eq(F_220(x), F_221(x))
Eq(F_221(x), F_0(x)*F_12(x)*F_222(x))
Eq(F_222(x), F_130(x) + F_4(x))
Eq(F_223(x), F_224(x))
Eq(F_224(x), F_12(x)*F_225(x))
Eq(F_225(x), F_15(x) + F_226(x))
Eq(F_226(x), F_227(x))
Eq(F_227(x), F_12(x)*F_191(x))
Eq(F_228(x), F_0(x)*F_229(x))
Eq(F_229(x), F_19(x) + F_53(x))
Eq(F_230(x), F_231(x))
Eq(F_231(x), F_12(x)*F_232(x))
Eq(F_232(x), F_201(x) + F_233(x))
Eq(F_233(x), F_234(x) + F_242(x) + F_244(x) + F_28(x))
Eq(F_234(x), F_235(x))
Eq(F_235(x), F_12(x)*F_236(x))
Eq(F_236(x), F_143(x) + F_237(x))
Eq(F_237(x), F_0(x)*F_238(x))
Eq(F_238(x), F_239(x)/F_12(x))
Eq(F_239(x), F_240(x))
Eq(F_240(x), -F_241(x) + F_26(x) - F_48(x) - F_77(x))
Eq(F_241(x), F_89(x))
Eq(F_242(x), F_243(x))
Eq(F_243(x), F_12(x)*F_233(x))
Eq(F_244(x), F_91(x))
Pack JSON:
{"name": "point_and_row_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": true, "place_col": true}]], "symmetries": [], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 4, 3, 1], "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, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 4, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 4, 2, 0, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 4, 3, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 4, 1, 0, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0], "pos": [[2, 0]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[1, 0], [1, 0]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [0, 2], [0, 2]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [0, 2], [0, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [0, 2], [0, 2]]}, {"patt": [0, 2, 1], "pos": [[2, 2], [2, 2], [2, 2]]}, {"patt": [1, 2, 0], "pos": [[0, 1], [0, 2], [0, 1]]}, {"patt": [1, 2, 0], "pos": [[2, 2], [2, 2], [2, 1]]}, {"patt": [1, 2, 0], "pos": [[2, 2], [2, 2], [2, 2]]}, {"patt": [2, 1, 0], "pos": [[2, 2], [2, 1], [2, 1]]}, {"patt": [2, 1, 0], "pos": [[2, 2], [2, 2], [2, 1]]}, {"patt": [2, 1, 0], "pos": [[2, 2], [2, 2], [2, 2]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [0, 2], [2, 2], [2, 2]]}, {"patt": [0, 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1], "pos": [[3, 1], [3, 2], [3, 1], [3, 1]]}, {"patt": [2, 3, 1, 0], "pos": [[0, 3], [0, 4], [3, 1], [3, 1]]}, {"patt": [2, 3, 1, 0], "pos": [[0, 3], [0, 4], [3, 2], [3, 1]]}, {"patt": [2, 3, 1, 0], "pos": [[0, 3], [0, 4], [3, 2], [3, 2]]}, {"patt": [2, 3, 1, 0], "pos": [[1, 1], [1, 2], [3, 1], [3, 1]]}, {"patt": [2, 3, 1, 0], "pos": [[3, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [3, 1, 0, 2], "pos": [[3, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [3, 2, 0, 1], "pos": [[3, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [3, 2, 1, 0], "pos": [[3, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[1, 1], [1, 1], [3, 2], [3, 1], [3, 1]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[1, 2], [1, 2], [3, 2], [3, 2], [3, 2]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[1, 2], [1, 2], [3, 2], [3, 2], [3, 2]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[1, 2], [1, 2], [3, 2], [3, 2], [3, 2]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [1, 3, 4, 0, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [1, 3, 4, 0, 2], "pos": [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {"patt": [1, 3, 4, 0, 2], "pos": [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {"patt": [1, 3, 4, 0, 2], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [1, 3, 4, 0, 2], "pos": [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [1, 3, 4, 0, 2], "pos": [[1, 1], [1, 1], [3, 2], [3, 1], [3, 1]]}, {"patt": [1, 3, 4, 0, 2], "pos": [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {"patt": [1, 3, 4, 0, 2], "pos": [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [1, 3, 4, 0, 2], "pos": [[1, 2], [1, 2], [3, 2], [3, 1], [3, 2]]}, {"patt": [1, 3, 4, 0, 2], "pos": [[1, 2], [1, 2], [3, 2], [3, 2], [3, 2]]}, {"patt": [1, 4, 2, 0, 3], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [1, 4, 2, 0, 3], "pos": [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {"patt": [1, 4, 2, 0, 3], "pos": [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {"patt": [1, 4, 2, 0, 3], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [1, 4, 2, 0, 3], "pos": [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [1, 4, 2, 0, 3], "pos": [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {"patt": [1, 4, 2, 0, 3], "pos": [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [1, 4, 2, 0, 3], "pos": [[1, 2], [1, 2], [3, 2], [3, 1], [3, 2]]}, {"patt": [1, 4, 2, 0, 3], "pos": [[1, 2], [1, 2], [3, 2], [3, 2], [3, 2]]}, {"patt": [1, 4, 3, 0, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [1, 4, 3, 0, 2], "pos": [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {"patt": [1, 4, 3, 0, 2], "pos": [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {"patt": [1, 4, 3, 0, 2], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [1, 4, 3, 0, 2], "pos": [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [1, 4, 3, 0, 2], "pos": [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {"patt": [1, 4, 3, 0, 2], "pos": [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [1, 4, 3, 0, 2], "pos": [[1, 2], [1, 2], [3, 2], [3, 1], [3, 2]]}, {"patt": [1, 4, 3, 0, 2], "pos": [[1, 2], [1, 2], [3, 2], [3, 2], [3, 2]]}, {"patt": [2, 4, 1, 0, 3], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [2, 4, 1, 0, 3], "pos": [[0, 4], [0, 4], [0, 3], [0, 3], [0, 4]]}, {"patt": [2, 4, 1, 0, 3], "pos": [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {"patt": [2, 4, 1, 0, 3], "pos": [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {"patt": [2, 4, 1, 0, 3], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [2, 4, 1, 0, 3], "pos": [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [2, 4, 1, 0, 3], "pos": [[1, 2], [1, 2], [1, 1], [1, 1], [1, 2]]}, {"patt": [2, 4, 1, 0, 3], "pos": [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {"patt": [2, 4, 1, 0, 3], "pos": [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [2, 4, 1, 0, 3], "pos": [[1, 2], [1, 2], [3, 1], [3, 1], [3, 2]]}, {"patt": [2, 4, 1, 0, 3], "pos": [[1, 2], [1, 2], [3, 2], [3, 1], [3, 2]]}, {"patt": [2, 4, 1, 0, 3], "pos": [[1, 2], [1, 2], [3, 2], [3, 2], [3, 2]]}], "requirements": [[{"patt": [0], "pos": [[2, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[1, 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": [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": "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_tracked_fusion_tracked_component_fusion_symmetries
Tree: http://permpal.com/tree/25456/
System of equations in Maple syntax:
F[0,x] = F[1,x]+F[2,x]
F[1,x] = 1
F[2,x] = F[3,x]
F[3,x] = F[20,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = -F[564,x]+F[6,x]
F[6,x] = -F[562,x]+F[7,x]
F[7,x] = F[8,x]
F[8,x] = F[20,x]*F[9,x]
F[9,x] = F[10,x]+F[508,x]
F[10,x] = F[11,x]+F[506,x]
F[11,x] = F[12,x]+F[197,x]
F[12,x] = F[13,x]
F[13,x] = F[14,x,1]
F[14,x,k[0]] = F[130,x,k[0]]+F[15,x,k[0]]
F[15,x,k[0]] = F[126,x,k[0]]*F[16,x]
F[16,x] = F[17,x]+F[21,x]
F[17,x] = F[1,x]+F[18,x]
F[18,x] = F[19,x]
F[19,x] = F[17,x]*F[20,x]
F[20,x] = x
F[21,x] = F[22,x]+F[54,x]
F[22,x] = F[23,x]
F[23,x] = F[20,x]*F[24,x]
F[24,x] = F[25,x]+F[26,x]
F[25,x] = F[1,x]+F[22,x]
F[26,x] = F[27,x]+F[35,x]
F[27,x] = F[28,x]
F[28,x] = F[20,x]*F[29,x]
F[29,x] = F[30,x]+F[31,x]
F[30,x] = F[1,x]+F[27,x]
F[31,x] = F[20,x]+F[32,x]
F[32,x] = F[33,x]
F[33,x] = F[20,x]*F[34,x]
F[34,x] = F[31,x]
F[35,x] = F[36,x]+F[37,x]+F[43,x]
F[36,x] = 0
F[37,x] = F[20,x]*F[38,x]
F[38,x] = F[39,x]+F[40,x]
F[39,x] = F[22,x]+F[35,x]
F[40,x] = F[41,x]+F[51,x]
F[41,x] = F[36,x]+F[42,x]+F[43,x]
F[42,x] = F[20,x]*F[22,x]
F[43,x] = F[20,x]*F[44,x]
F[44,x] = F[45,x]+F[46,x]
F[45,x] = F[20,x]+F[41,x]
F[46,x] = F[47,x]+F[49,x]
F[47,x] = F[48,x]
F[48,x] = F[20,x]*F[27,x]
F[49,x] = F[50,x]
F[50,x] = F[20,x]*F[35,x]
F[51,x] = F[52,x]
F[52,x] = F[20,x]*F[53,x]
F[53,x] = F[40,x]
F[54,x] = F[118,x]+F[36,x]+F[55,x]
F[55,x] = F[20,x]*F[56,x]
F[56,x] = F[57,x]+F[58,x]
F[57,x] = F[18,x]+F[54,x]
F[58,x] = F[59,x]+F[73,x]
F[59,x] = F[36,x]+F[60,x]+F[65,x]
F[60,x] = F[20,x]*F[61,x]
F[61,x] = F[62,x]+F[69,x]
F[62,x] = F[18,x]+F[63,x]
F[63,x] = F[36,x]+F[64,x]+F[65,x]
F[64,x] = F[20,x]*F[62,x]
F[65,x] = F[20,x]*F[66,x]
F[66,x] = F[20,x]+F[67,x]
F[67,x] = F[68,x]
F[68,x] = F[18,x]*F[20,x]
F[69,x] = F[67,x]+F[70,x]
F[70,x] = 2*F[36,x]+F[71,x]+F[72,x]
F[71,x] = F[20,x]*F[63,x]
F[72,x] = F[20,x]*F[69,x]
F[73,x] = F[36,x]+F[74,x]+F[79,x]+F[85,x]
F[74,x] = F[20,x]*F[75,x]
F[75,x] = F[112,x]+F[76,x]
F[76,x] = F[54,x]+F[77,x]
F[77,x] = F[36,x]+F[78,x]+F[79,x]+F[85,x]
F[78,x] = F[20,x]*F[76,x]
F[79,x] = F[20,x]*F[80,x]
F[80,x] = F[103,x]+F[81,x]
F[81,x] = F[82,x]+F[83,x]
F[82,x] = F[36,x]+F[65,x]+F[68,x]
F[83,x] = F[36,x]+F[79,x]+F[84,x]+F[85,x]
F[84,x] = F[20,x]*F[54,x]
F[85,x] = F[20,x]*F[86,x]
F[86,x] = F[87,x]+F[93,x]
F[87,x] = F[36,x]+F[68,x]+F[88,x]
F[88,x] = F[20,x]*F[89,x]
F[89,x] = F[90,x]
F[90,x] = F[20,x]+F[91,x]
F[91,x] = F[36,x]+F[68,x]+F[92,x]
F[92,x] = F[20,x]*F[90,x]
F[93,x] = 2*F[36,x]+F[94,x]+F[98,x]
F[94,x] = F[20,x]*F[95,x]
F[95,x] = F[96,x]
F[96,x] = F[20,x]*F[97,x]
F[97,x] = F[18,x]+F[95,x]
F[98,x] = F[20,x]*F[99,x]
F[99,x] = F[100,x]
F[100,x] = F[101,x]+F[67,x]
F[101,x] = 2*F[36,x]+F[102,x]+F[94,x]
F[102,x] = F[100,x]*F[20,x]
F[103,x] = F[104,x]+F[108,x]
F[104,x] = F[105,x]+F[107,x]+F[36,x]+F[71,x]
F[105,x] = F[106,x]*F[20,x]
F[106,x] = F[69,x]
F[107,x] = 0
F[108,x] = F[109,x]+F[110,x]+F[116,x]+F[117,x]+F[36,x]
F[109,x] = F[20,x]*F[77,x]
F[110,x] = F[111,x]*F[20,x]
F[111,x] = F[112,x]
F[112,x] = F[113,x]+F[114,x]
F[113,x] = F[84,x]
F[114,x] = 3*F[36,x]+F[109,x]+F[115,x]
F[115,x] = F[112,x]*F[20,x]
F[116,x] = 0
F[117,x] = 0
F[118,x] = F[119,x]*F[20,x]
F[119,x] = F[120,x]+F[123,x]
F[120,x] = F[121,x]
F[121,x] = F[122,x]*F[20,x]
F[122,x] = F[17,x]+F[90,x]
F[123,x] = F[124,x]
F[124,x] = F[125,x]*F[20,x]
F[125,x] = F[100,x]+F[97,x]
F[126,x,k[0]] = F[1,x]+F[127,x,k[0]]
F[127,x,k[0]] = F[128,x,k[0]]
F[128,x,k[0]] = F[126,x,k[0]]*F[129,x,k[0]]
F[129,x,k[0]] = k[0]*x
F[130,x,k[0]] = F[131,x,k[0]]+F[138,x,k[0]]
F[131,x,k[0]] = F[132,x,k[0]]
F[132,x,k[0]] = F[129,x,k[0]]*F[133,x,k[0]]
F[133,x,k[0]] = F[126,x,k[0]]+F[134,x,k[0]]
F[134,x,k[0]] = F[127,x,k[0]]+F[135,x,k[0]]
F[135,x,k[0]] = F[136,x,k[0]]
F[136,x,k[0]] = F[129,x,k[0]]*F[137,x,k[0]]
F[137,x,k[0]] = F[127,x,k[0]]+F[135,x,k[0]]
F[138,x,k[0]] = F[139,x,k[0]]+F[193,x,k[0]]+F[36,x]
F[139,x,k[0]] = F[140,x,k[0]]*F[20,x]
F[140,x,k[0]] = F[130,x,k[0]]+F[141,x,k[0]]
F[141,x,k[0]] = F[142,x,k[0]]+F[160,x,k[0]]
F[142,x,k[0]] = F[143,x,k[0]]+F[149,x,k[0]]+F[36,x]
F[143,x,k[0]] = F[144,x,k[0]]*F[20,x]
F[144,x,k[0]] = F[145,x,k[0]]+F[146,x,k[0]]
F[145,x,k[0]] = F[131,x,k[0]]+F[142,x,k[0]]
F[146,x,k[0]] = F[147,x,k[0]]+F[157,x,k[0]]
F[147,x,k[0]] = F[148,x,k[0]]+F[149,x,k[0]]+F[36,x]
F[148,x,k[0]] = F[131,x,k[0]]*F[20,x]
F[149,x,k[0]] = F[129,x,k[0]]*F[150,x,k[0]]
F[150,x,k[0]] = F[151,x,k[0]]+F[154,x,k[0]]
F[151,x,k[0]] = F[152,x,k[0]]+F[20,x]
F[152,x,k[0]] = F[153,x,k[0]]
F[153,x,k[0]] = F[127,x,k[0]]*F[20,x]
F[154,x,k[0]] = F[152,x,k[0]]+F[155,x,k[0]]
F[155,x,k[0]] = F[156,x,k[0]]
F[156,x,k[0]] = F[135,x,k[0]]*F[20,x]
F[157,x,k[0]] = F[158,x,k[0]]
F[158,x,k[0]] = F[159,x,k[0]]*F[20,x]
F[159,x,k[0]] = F[146,x,k[0]]
F[160,x,k[0]] = F[161,x,k[0]]+F[167,x,k[0]]+F[175,x,k[0]]+F[36,x]
F[161,x,k[0]] = F[162,x,k[0]]*F[20,x]
F[162,x,k[0]] = F[163,x,k[0]]+F[164,x,k[0]]
F[163,x,k[0]] = F[138,x,k[0]]+F[160,x,k[0]]
F[164,x,k[0]] = F[165,x,k[0]]+F[190,x,k[0]]
F[165,x,k[0]] = F[166,x,k[0]]+F[167,x,k[0]]+F[175,x,k[0]]+F[36,x]
F[166,x,k[0]] = F[138,x,k[0]]*F[20,x]
F[167,x,k[0]] = F[168,x,k[0]]*F[20,x]
F[168,x,k[0]] = F[169,x,k[0]]+F[170,x,k[0]]
F[169,x,k[0]] = F[147,x,k[0]]+F[165,x,k[0]]
F[170,x,k[0]] = F[171,x,k[0]]+F[173,x,k[0]]
F[171,x,k[0]] = F[172,x,k[0]]
F[172,x,k[0]] = F[142,x,k[0]]*F[20,x]
F[173,x,k[0]] = F[174,x,k[0]]
F[174,x,k[0]] = F[160,x,k[0]]*F[20,x]
F[175,x,k[0]] = F[129,x,k[0]]*F[176,x,k[0]]
F[176,x,k[0]] = F[177,x,k[0]]+F[184,x,k[0]]
F[177,x,k[0]] = F[178,x]+F[179,x,k[0]]
F[178,x] = F[68,x]
F[179,x,k[0]] = F[180,x,k[0]]
F[180,x,k[0]] = F[181,x,k[0]]*F[20,x]
F[181,x,k[0]] = F[182,x,k[0]]
F[182,x,k[0]] = F[183,x,k[0]]*F[20,x]
F[183,x,k[0]] = F[127,x,k[0]]+F[181,x,k[0]]
F[184,x,k[0]] = F[179,x,k[0]]+F[185,x,k[0]]
F[185,x,k[0]] = F[186,x,k[0]]
F[186,x,k[0]] = F[187,x,k[0]]*F[20,x]
F[187,x,k[0]] = F[188,x,k[0]]
F[188,x,k[0]] = F[189,x,k[0]]*F[20,x]
F[189,x,k[0]] = F[135,x,k[0]]+F[187,x,k[0]]
F[190,x,k[0]] = F[191,x,k[0]]
F[191,x,k[0]] = F[192,x,k[0]]*F[20,x]
F[192,x,k[0]] = F[164,x,k[0]]
F[193,x,k[0]] = F[129,x,k[0]]*F[194,x,k[0]]
F[194,x,k[0]] = F[195,x,k[0]]+F[196,x,k[0]]
F[195,x,k[0]] = F[18,x]+F[181,x,k[0]]
F[196,x,k[0]] = F[181,x,k[0]]+F[187,x,k[0]]
F[197,x] = F[198,x]+F[487,x]
F[198,x] = F[199,x]
F[199,x] = F[20,x]*F[200,x]
F[200,x] = -F[421,x]+F[201,x]
F[201,x] = 1/F[20,x]*F[202,x]
F[202,x] = F[203,x]
F[203,x] = F[204,x]+F[272,x]
F[204,x] = F[205,x]*F[207,x]
F[205,x] = 1/F[20,x]*F[206,x]
F[206,x] = F[2,x]
F[207,x] = F[208,x]+F[27,x]
F[208,x] = F[209,x]+F[266,x]+F[36,x]
F[209,x] = F[20,x]*F[210,x]
F[210,x] = F[207,x]+F[211,x]
F[211,x] = F[212,x]+F[226,x]
F[212,x] = F[213,x]+F[218,x]+F[36,x]
F[213,x] = F[20,x]*F[214,x]
F[214,x] = F[215,x]+F[222,x]
F[215,x] = F[216,x]+F[27,x]
F[216,x] = F[217,x]+F[218,x]+F[36,x]
F[217,x] = F[20,x]*F[215,x]
F[218,x] = F[20,x]*F[219,x]
F[219,x] = F[220,x]
F[220,x] = F[20,x]+F[221,x]
F[221,x] = F[48,x]
F[222,x] = F[221,x]+F[223,x]
F[223,x] = 2*F[36,x]+F[224,x]+F[225,x]
F[224,x] = F[20,x]*F[216,x]
F[225,x] = F[20,x]*F[222,x]
F[226,x] = F[227,x]+F[232,x]+F[238,x]+F[36,x]
F[227,x] = F[20,x]*F[228,x]
F[228,x] = F[229,x]+F[260,x]
F[229,x] = F[208,x]+F[230,x]
F[230,x] = F[231,x]+F[232,x]+F[238,x]+F[36,x]
F[231,x] = F[20,x]*F[229,x]
F[232,x] = F[20,x]*F[233,x]
F[233,x] = F[234,x]+F[251,x]
F[234,x] = F[235,x]+F[236,x]
F[235,x] = F[218,x]+F[36,x]+F[48,x]
F[236,x] = F[232,x]+F[237,x]+F[238,x]+F[36,x]
F[237,x] = F[20,x]*F[208,x]
F[238,x] = F[20,x]*F[239,x]
F[239,x] = F[240,x]
F[240,x] = F[241,x]+F[87,x]
F[241,x] = 2*F[36,x]+F[242,x]+F[246,x]
F[242,x] = F[20,x]*F[243,x]
F[243,x] = F[244,x]
F[244,x] = F[20,x]*F[245,x]
F[245,x] = F[243,x]+F[27,x]
F[246,x] = F[20,x]*F[247,x]
F[247,x] = F[248,x]
F[248,x] = F[221,x]+F[249,x]
F[249,x] = 2*F[36,x]+F[242,x]+F[250,x]
F[250,x] = F[20,x]*F[248,x]
F[251,x] = F[252,x]+F[256,x]
F[252,x] = F[224,x]+F[253,x]+F[255,x]+F[36,x]
F[253,x] = F[20,x]*F[254,x]
F[254,x] = F[222,x]
F[255,x] = 0
F[256,x] = F[257,x]+F[258,x]+F[264,x]+F[265,x]+F[36,x]
F[257,x] = F[20,x]*F[230,x]
F[258,x] = F[20,x]*F[259,x]
F[259,x] = F[260,x]
F[260,x] = F[261,x]+F[262,x]
F[261,x] = F[237,x]
F[262,x] = 3*F[36,x]+F[257,x]+F[263,x]
F[263,x] = F[20,x]*F[260,x]
F[264,x] = 0
F[265,x] = 0
F[266,x] = F[20,x]*F[267,x]
F[267,x] = F[268,x]
F[268,x] = F[120,x]+F[269,x]
F[269,x] = F[270,x]
F[270,x] = F[20,x]*F[271,x]
F[271,x] = F[245,x]+F[248,x]
F[272,x] = F[273,x]
F[273,x] = F[20,x]*F[274,x]
F[274,x] = F[275,x]+F[280,x]
F[275,x] = F[0,x]*F[276,x]
F[276,x] = F[277,x]
F[277,x] = F[20,x]*F[278,x]
F[278,x] = 1/F[20,x]*F[279,x]
F[279,x] = F[197,x]
F[280,x] = F[281,x]
F[281,x] = F[282,x]+F[361,x]
F[282,x] = F[283,x]+F[321,x]
F[283,x] = F[284,x]*F[298,x]
F[284,x] = F[285,x]+F[294,x]
F[285,x] = F[286,x]
F[286,x] = F[20,x]*F[287,x]
F[287,x] = F[288,x]+F[289,x]
F[288,x] = F[0,x]*F[25,x]
F[289,x] = F[290,x]
F[290,x] = F[20,x]*F[291,x]
F[291,x] = F[292,x]+F[293,x]
F[292,x] = F[0,x]*F[205,x]*F[25,x]
F[293,x] = F[17,x]*F[284,x]
F[294,x] = F[295,x]*F[297,x]
F[295,x] = F[296,x]
F[296,x] = F[0,x]^2*F[20,x]
F[297,x] = -F[25,x]+F[205,x]
F[298,x] = F[299,x]+F[304,x]
F[299,x] = F[20,x]+F[300,x]
F[300,x] = F[301,x]+F[303,x]+F[36,x]
F[301,x] = F[20,x]*F[302,x]
F[302,x] = F[299,x]
F[303,x] = F[18,x]*F[20,x]
F[304,x] = F[305,x]+F[308,x]
F[305,x] = F[303,x]+F[306,x]+F[36,x]
F[306,x] = F[20,x]*F[307,x]
F[307,x] = F[90,x]
F[308,x] = F[309,x]+F[311,x]+F[320,x]+F[36,x]
F[309,x] = F[20,x]*F[310,x]
F[310,x] = F[300,x]+F[308,x]
F[311,x] = F[20,x]*F[312,x]
F[312,x] = F[313,x]
F[313,x] = F[314,x]+F[317,x]
F[314,x] = F[315,x]
F[315,x] = F[20,x]*F[316,x]
F[316,x] = F[20,x]+F[314,x]
F[317,x] = F[318,x]
F[318,x] = F[20,x]*F[319,x]
F[319,x] = F[300,x]+F[317,x]
F[320,x] = 0
F[321,x] = F[322,x]
F[322,x] = F[307,x]*F[323,x]
F[323,x] = -F[284,x]+F[324,x]
F[324,x] = 1/F[17,x]*F[325,x]
F[325,x] = F[326,x]
F[326,x] = -F[358,x]+F[327,x]
F[327,x] = 1/F[20,x]*F[328,x]
F[328,x] = F[329,x]
F[329,x] = F[20,x]*F[330,x]
F[330,x] = F[331,x]+F[334,x]
F[331,x] = F[2,x]*F[332,x]
F[332,x] = 1/F[20,x]*F[333,x]
F[333,x] = F[297,x]
F[334,x] = F[335,x]
F[335,x] = F[17,x]*F[336,x]
F[336,x] = F[337,x]+F[352,x]
F[337,x] = F[17,x]*F[338,x]
F[338,x] = F[339,x]
F[339,x] = F[20,x]*F[340,x]
F[340,x] = F[341,x]+F[347,x]
F[341,x] = F[0,x]+F[342,x]
F[342,x] = F[2,x]+F[343,x]
F[343,x] = F[344,x]
F[344,x] = F[20,x]*F[345,x]
F[345,x] = F[284,x]+F[346,x]
F[346,x] = F[2,x]*F[205,x]
F[347,x] = F[348,x]
F[348,x] = F[20,x]*F[349,x]
F[349,x] = F[287,x]+F[350,x]
F[350,x] = F[351,x]
F[351,x] = F[0,x]^2*F[297,x]
F[352,x] = F[295,x]*F[353,x]
F[353,x] = -F[357,x]+F[354,x]
F[354,x] = F[355,x]+F[4,x]
F[355,x] = F[356,x]
F[356,x] = F[0,x]*F[20,x]*F[354,x]
F[357,x] = F[0,x]*F[17,x]
F[358,x] = F[2,x]*F[359,x]
F[359,x] = 1/F[20,x]*F[360,x]
F[360,x] = F[297,x]
F[361,x] = F[362,x]
F[362,x] = F[17,x]*F[20,x]*F[363,x]
F[363,x] = 1/F[17,x]*F[364,x]
F[364,x] = -F[381,x]+F[365,x]
F[365,x] = F[366,x]+F[376,x]
F[366,x] = F[367,x]
F[367,x] = F[20,x]*F[368,x]
F[368,x] = F[369,x]+F[370,x]
F[369,x] = F[17,x]*F[285,x]
F[370,x] = F[25,x]*F[295,x]*F[371,x]
F[371,x] = F[2,x]+F[372,x]
F[372,x] = F[373,x]
F[373,x] = F[20,x]*F[374,x]
F[374,x] = F[355,x]+F[375,x]
F[375,x] = F[18,x]*F[354,x]
F[376,x] = F[295,x]*F[377,x]*F[378,x]
F[377,x] = F[17,x]+F[371,x]
F[378,x] = F[379,x]
F[379,x] = F[20,x]*F[380,x]
F[380,x] = F[297,x]+F[346,x]
F[381,x] = F[295,x]*F[371,x]*F[382,x]
F[382,x] = F[378,x]+F[383,x]
F[383,x] = F[20,x]+F[384,x]
F[384,x] = F[385,x]
F[385,x] = F[20,x]*F[386,x]
F[386,x] = F[383,x]+F[387,x]
F[387,x] = F[388,x]+F[397,x]
F[388,x] = F[389,x]
F[389,x] = F[20,x]*F[390,x]
F[390,x] = F[316,x]+F[391,x]
F[391,x] = F[392,x]+F[394,x]
F[392,x] = F[393,x]
F[393,x] = x^2
F[394,x] = 2*F[36,x]+F[395,x]+F[396,x]
F[395,x] = F[20,x]*F[314,x]
F[396,x] = F[20,x]*F[391,x]
F[397,x] = 2*F[36,x]+F[398,x]+F[403,x]
F[398,x] = F[20,x]*F[399,x]
F[399,x] = F[400,x]+F[416,x]
F[400,x] = F[384,x]+F[401,x]
F[401,x] = 2*F[36,x]+F[402,x]+F[403,x]
F[402,x] = F[20,x]*F[400,x]
F[403,x] = F[20,x]*F[404,x]
F[404,x] = F[405,x]+F[408,x]
F[405,x] = F[392,x]+F[406,x]
F[406,x] = 2*F[36,x]+F[403,x]+F[407,x]
F[407,x] = F[20,x]*F[384,x]
F[408,x] = F[409,x]+F[412,x]
F[409,x] = 2*F[36,x]+F[395,x]+F[410,x]
F[410,x] = F[20,x]*F[411,x]
F[411,x] = F[391,x]
F[412,x] = 2*F[36,x]+F[413,x]+F[414,x]+F[420,x]
F[413,x] = F[20,x]*F[401,x]
F[414,x] = F[20,x]*F[415,x]
F[415,x] = F[416,x]
F[416,x] = F[417,x]+F[418,x]
F[417,x] = F[407,x]
F[418,x] = 3*F[36,x]+F[413,x]+F[419,x]
F[419,x] = F[20,x]*F[416,x]
F[420,x] = 0
F[421,x] = F[205,x]*F[422,x]
F[422,x] = F[307,x]+F[423,x]
F[423,x] = F[384,x]+F[424,x]
F[424,x] = 2*F[36,x]+F[425,x]+F[482,x]
F[425,x] = F[20,x]*F[426,x]
F[426,x] = F[427,x]+F[428,x]
F[427,x] = F[305,x]+F[424,x]
F[428,x] = F[429,x]+F[443,x]
F[429,x] = 2*F[36,x]+F[430,x]+F[435,x]
F[430,x] = F[20,x]*F[431,x]
F[431,x] = F[432,x]+F[439,x]
F[432,x] = F[305,x]+F[433,x]
F[433,x] = 2*F[36,x]+F[434,x]+F[435,x]
F[434,x] = F[20,x]*F[432,x]
F[435,x] = F[20,x]*F[436,x]
F[436,x] = F[392,x]+F[437,x]
F[437,x] = F[438,x]
F[438,x] = F[20,x]*F[305,x]
F[439,x] = F[437,x]+F[440,x]
F[440,x] = 3*F[36,x]+F[441,x]+F[442,x]
F[441,x] = F[20,x]*F[433,x]
F[442,x] = F[20,x]*F[439,x]
F[443,x] = 2*F[36,x]+F[444,x]+F[449,x]+F[455,x]
F[444,x] = F[20,x]*F[445,x]
F[445,x] = F[446,x]+F[476,x]
F[446,x] = F[424,x]+F[447,x]
F[447,x] = 2*F[36,x]+F[448,x]+F[449,x]+F[455,x]
F[448,x] = F[20,x]*F[446,x]
F[449,x] = F[20,x]*F[450,x]
F[450,x] = F[451,x]+F[467,x]
F[451,x] = F[452,x]+F[453,x]
F[452,x] = 2*F[36,x]+F[435,x]+F[438,x]
F[453,x] = 2*F[36,x]+F[449,x]+F[454,x]+F[455,x]
F[454,x] = F[20,x]*F[424,x]
F[455,x] = F[20,x]*F[456,x]
F[456,x] = F[409,x]+F[457,x]
F[457,x] = 3*F[36,x]+F[458,x]+F[462,x]
F[458,x] = F[20,x]*F[459,x]
F[459,x] = F[460,x]
F[460,x] = F[20,x]*F[461,x]
F[461,x] = F[305,x]+F[459,x]
F[462,x] = F[20,x]*F[463,x]
F[463,x] = F[464,x]
F[464,x] = F[437,x]+F[465,x]
F[465,x] = 3*F[36,x]+F[458,x]+F[466,x]
F[466,x] = F[20,x]*F[464,x]
F[467,x] = F[468,x]+F[472,x]
F[468,x] = 2*F[36,x]+F[441,x]+F[469,x]+F[471,x]
F[469,x] = F[20,x]*F[470,x]
F[470,x] = F[439,x]
F[471,x] = 0
F[472,x] = 2*F[36,x]+F[473,x]+F[474,x]+F[480,x]+F[481,x]
F[473,x] = F[20,x]*F[447,x]
F[474,x] = F[20,x]*F[475,x]
F[475,x] = F[476,x]
F[476,x] = F[477,x]+F[478,x]
F[477,x] = F[454,x]
F[478,x] = 4*F[36,x]+F[473,x]+F[479,x]
F[479,x] = F[20,x]*F[476,x]
F[480,x] = 0
F[481,x] = 0
F[482,x] = F[20,x]*F[483,x]
F[483,x] = F[388,x]+F[484,x]
F[484,x] = F[485,x]
F[485,x] = F[20,x]*F[486,x]
F[486,x] = F[461,x]+F[464,x]
F[487,x] = F[488,x]
F[488,x] = F[489,x]+F[505,x]
F[489,x] = F[490,x]
F[490,x] = F[20,x]*F[491,x]
F[491,x] = F[492,x]+F[493,x]
F[492,x] = F[25,x]*F[371,x]
F[493,x] = F[494,x]
F[494,x] = F[20,x]*F[495,x]
F[495,x] = F[496,x]+F[497,x]
F[496,x] = F[205,x]*F[25,x]*F[377,x]
F[497,x] = F[17,x]*F[498,x]
F[498,x] = F[499,x]
F[499,x] = F[20,x]*F[500,x]
F[500,x] = F[501,x]+F[503,x]
F[501,x] = F[493,x]+F[502,x]
F[502,x] = F[25,x]*F[377,x]
F[503,x] = F[504,x]
F[504,x] = F[0,x]*F[297,x]*F[377,x]
F[505,x] = F[372,x]*F[57,x]
F[506,x] = F[507,x]
F[507,x] = F[17,x]*F[18,x]*F[25,x]*F[377,x]
F[508,x] = F[509,x]+F[540,x]
F[509,x] = F[377,x]*F[510,x]
F[510,x] = -F[538,x]+F[511,x]
F[511,x] = F[512,x]+F[522,x]
F[512,x] = F[513,x]+F[516,x]
F[513,x] = -F[25,x]+F[514,x]
F[514,x] = 1/F[20,x]*F[515,x]
F[515,x] = F[2,x]
F[516,x] = F[517,x]
F[517,x] = F[20,x]*F[518,x]
F[518,x] = F[519,x,1]
F[519,x,k[0]] = F[512,x]+F[520,x,k[0]]
F[520,x,k[0]] = F[521,x,k[0]]
F[521,x,k[0]] = F[126,x,k[0]]^2*F[129,x,k[0]]*F[511,x]
F[522,x] = -F[537,x]+F[523,x]
F[523,x] = 1/F[17,x]/F[20,x]*F[524,x]
F[524,x] = F[525,x]
F[525,x] = F[526,x]+F[527,x]
F[526,x] = F[17,x]*F[2,x]
F[527,x] = F[528,x]
F[528,x] = F[17,x]*F[20,x]*F[529,x]
F[529,x] = F[530,x]+F[531,x]
F[530,x] = F[17,x]*F[2,x]
F[531,x] = F[532,x]
F[532,x] = F[5,x]+F[533,x]
F[533,x] = F[534,x]
F[534,x] = F[0,x]*F[20,x]*F[535,x]
F[535,x] = F[522,x]+F[536,x]
F[536,x] = F[516,x]+F[57,x]
F[537,x] = F[514,x]+F[536,x]
F[538,x] = F[539,x]
F[539,x] = F[17,x]*F[18,x]*F[25,x]
F[540,x] = F[541,x]
F[541,x] = F[542,x]
F[542,x] = F[20,x]*F[543,x]
F[543,x] = F[544,x]+F[551,x]
F[544,x] = F[545,x]+F[547,x]
F[545,x] = F[546,x]
F[546,x] = F[17,x]*F[18,x]*F[287,x]
F[547,x] = F[548,x]
F[548,x] = F[0,x]*F[549,x]
F[549,x] = F[541,x]+F[550,x]
F[550,x] = F[0,x]*F[510,x]
F[551,x] = F[552,x]
F[552,x] = F[20,x]*F[553,x]
F[553,x] = F[554,x]+F[560,x]
F[554,x] = F[555,x]
F[555,x] = F[17,x]*F[18,x]*F[556,x]
F[556,x] = F[557,x]+F[558,x]
F[557,x] = F[17,x]*F[287,x]
F[558,x] = F[559,x]
F[559,x] = F[0,x]^2*F[25,x]*F[371,x]
F[560,x] = F[561,x]
F[561,x] = F[0,x]^2*F[377,x]*F[510,x]
F[562,x] = F[563,x]
F[563,x] = F[20,x]*F[377,x]*F[535,x]
F[564,x] = F[565,x]
F[565,x] = F[20,x]*F[566,x]
F[566,x] = F[499,x]
System of equations in latex syntax:
F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)
F_{1}\! \left(x \right) = 1
F_{2}\! \left(x \right) = F_{3}\! \left(x \right)
F_{3}\! \left(x \right) = F_{20}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = -F_{564}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = -F_{562}\! \left(x \right)+F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{20}\! \left(x \right) F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{508}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)+F_{506}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)+F_{197}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x , 1\right)
F_{14}\! \left(x , y\right) = F_{130}\! \left(x , y\right)+F_{15}\! \left(x , y\right)
F_{15}\! \left(x , y\right) = F_{126}\! \left(x , y\right) F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)+F_{21}\! \left(x \right)
F_{17}\! \left(x \right) = F_{1}\! \left(x \right)+F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)
F_{19}\! \left(x \right) = F_{17}\! \left(x \right) F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = x
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)+F_{54}\! \left(x \right)
F_{22}\! \left(x \right) = F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{20}\! \left(x \right) F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{25}\! \left(x \right)+F_{26}\! \left(x \right)
F_{25}\! \left(x \right) = F_{1}\! \left(x \right)+F_{22}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)+F_{35}\! \left(x \right)
F_{27}\! \left(x \right) = F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = F_{20}\! \left(x \right) F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)+F_{31}\! \left(x \right)
F_{30}\! \left(x \right) = F_{1}\! \left(x \right)+F_{27}\! \left(x \right)
F_{31}\! \left(x \right) = F_{20}\! \left(x \right)+F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{20}\! \left(x \right) F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = F_{31}\! \left(x \right)
F_{35}\! \left(x \right) = F_{36}\! \left(x \right)+F_{37}\! \left(x \right)+F_{43}\! \left(x \right)
F_{36}\! \left(x \right) = 0
F_{37}\! \left(x \right) = F_{20}\! \left(x \right) F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)+F_{40}\! \left(x \right)
F_{39}\! \left(x \right) = F_{22}\! \left(x \right)+F_{35}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)+F_{51}\! \left(x \right)
F_{41}\! \left(x \right) = F_{36}\! \left(x \right)+F_{42}\! \left(x \right)+F_{43}\! \left(x \right)
F_{42}\! \left(x \right) = F_{20}\! \left(x \right) F_{22}\! \left(x \right)
F_{43}\! \left(x \right) = F_{20}\! \left(x \right) F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)+F_{46}\! \left(x \right)
F_{45}\! \left(x \right) = F_{20}\! \left(x \right)+F_{41}\! \left(x \right)
F_{46}\! \left(x \right) = F_{47}\! \left(x \right)+F_{49}\! \left(x \right)
F_{47}\! \left(x \right) = F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{20}\! \left(x \right) F_{27}\! \left(x \right)
F_{49}\! \left(x \right) = F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{20}\! \left(x \right) F_{35}\! \left(x \right)
F_{51}\! \left(x \right) = F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{20}\! \left(x \right) F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{40}\! \left(x \right)
F_{54}\! \left(x \right) = F_{118}\! \left(x \right)+F_{36}\! \left(x \right)+F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{20}\! \left(x \right) F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{57}\! \left(x \right)+F_{58}\! \left(x \right)
F_{57}\! \left(x \right) = F_{18}\! \left(x \right)+F_{54}\! \left(x \right)
F_{58}\! \left(x \right) = F_{59}\! \left(x \right)+F_{73}\! \left(x \right)
F_{59}\! \left(x \right) = F_{36}\! \left(x \right)+F_{60}\! \left(x \right)+F_{65}\! \left(x \right)
F_{60}\! \left(x \right) = F_{20}\! \left(x \right) F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)+F_{69}\! \left(x \right)
F_{62}\! \left(x \right) = F_{18}\! \left(x \right)+F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{36}\! \left(x \right)+F_{64}\! \left(x \right)+F_{65}\! \left(x \right)
F_{64}\! \left(x \right) = F_{20}\! \left(x \right) F_{62}\! \left(x \right)
F_{65}\! \left(x \right) = F_{20}\! \left(x \right) F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{20}\! \left(x \right)+F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{18}\! \left(x \right) F_{20}\! \left(x \right)
F_{69}\! \left(x \right) = F_{67}\! \left(x \right)+F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = 2 F_{36}\! \left(x \right)+F_{71}\! \left(x \right)+F_{72}\! \left(x \right)
F_{71}\! \left(x \right) = F_{20}\! \left(x \right) F_{63}\! \left(x \right)
F_{72}\! \left(x \right) = F_{20}\! \left(x \right) F_{69}\! \left(x \right)
F_{73}\! \left(x \right) = F_{36}\! \left(x \right)+F_{74}\! \left(x \right)+F_{79}\! \left(x \right)+F_{85}\! \left(x \right)
F_{74}\! \left(x \right) = F_{20}\! \left(x \right) F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{112}\! \left(x \right)+F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{54}\! \left(x \right)+F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{36}\! \left(x \right)+F_{78}\! \left(x \right)+F_{79}\! \left(x \right)+F_{85}\! \left(x \right)
F_{78}\! \left(x \right) = F_{20}\! \left(x \right) F_{76}\! \left(x \right)
F_{79}\! \left(x \right) = F_{20}\! \left(x \right) F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{103}\! \left(x \right)+F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{82}\! \left(x \right)+F_{83}\! \left(x \right)
F_{82}\! \left(x \right) = F_{36}\! \left(x \right)+F_{65}\! \left(x \right)+F_{68}\! \left(x \right)
F_{83}\! \left(x \right) = F_{36}\! \left(x \right)+F_{79}\! \left(x \right)+F_{84}\! \left(x \right)+F_{85}\! \left(x \right)
F_{84}\! \left(x \right) = F_{20}\! \left(x \right) F_{54}\! \left(x \right)
F_{85}\! \left(x \right) = F_{20}\! \left(x \right) F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{87}\! \left(x \right)+F_{93}\! \left(x \right)
F_{87}\! \left(x \right) = F_{36}\! \left(x \right)+F_{68}\! \left(x \right)+F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{20}\! \left(x \right) F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{20}\! \left(x \right)+F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = F_{36}\! \left(x \right)+F_{68}\! \left(x \right)+F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{20}\! \left(x \right) F_{90}\! \left(x \right)
F_{93}\! \left(x \right) = 2 F_{36}\! \left(x \right)+F_{94}\! \left(x \right)+F_{98}\! \left(x \right)
F_{94}\! \left(x \right) = F_{20}\! \left(x \right) F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{20}\! \left(x \right) F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{18}\! \left(x \right)+F_{95}\! \left(x \right)
F_{98}\! \left(x \right) = F_{20}\! \left(x \right) F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)+F_{67}\! \left(x \right)
F_{101}\! \left(x \right) = 2 F_{36}\! \left(x \right)+F_{102}\! \left(x \right)+F_{94}\! \left(x \right)
F_{102}\! \left(x \right) = F_{100}\! \left(x \right) F_{20}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right)+F_{108}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x \right)+F_{107}\! \left(x \right)+F_{36}\! \left(x \right)+F_{71}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x \right) F_{20}\! \left(x \right)
F_{106}\! \left(x \right) = F_{69}\! \left(x \right)
F_{107}\! \left(x \right) = 0
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)+F_{110}\! \left(x \right)+F_{116}\! \left(x \right)+F_{117}\! \left(x \right)+F_{36}\! \left(x \right)
F_{109}\! \left(x \right) = F_{20}\! \left(x \right) F_{77}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right) F_{20}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)+F_{114}\! \left(x \right)
F_{113}\! \left(x \right) = F_{84}\! \left(x \right)
F_{114}\! \left(x \right) = 3 F_{36}\! \left(x \right)+F_{109}\! \left(x \right)+F_{115}\! \left(x \right)
F_{115}\! \left(x \right) = F_{112}\! \left(x \right) F_{20}\! \left(x \right)
F_{116}\! \left(x \right) = 0
F_{117}\! \left(x \right) = 0
F_{118}\! \left(x \right) = F_{119}\! \left(x \right) F_{20}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)+F_{123}\! \left(x \right)
F_{120}\! \left(x \right) = F_{121}\! \left(x \right)
F_{121}\! \left(x \right) = F_{122}\! \left(x \right) F_{20}\! \left(x \right)
F_{122}\! \left(x \right) = F_{17}\! \left(x \right)+F_{90}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right) F_{20}\! \left(x \right)
F_{125}\! \left(x \right) = F_{100}\! \left(x \right)+F_{97}\! \left(x \right)
F_{126}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{127}\! \left(x , y\right)
F_{127}\! \left(x , y\right) = F_{128}\! \left(x , y\right)
F_{128}\! \left(x , y\right) = F_{126}\! \left(x , y\right) F_{129}\! \left(x , y\right)
F_{129}\! \left(x , y\right) = y x
F_{130}\! \left(x , y\right) = F_{131}\! \left(x , y\right)+F_{138}\! \left(x , y\right)
F_{131}\! \left(x , y\right) = F_{132}\! \left(x , y\right)
F_{132}\! \left(x , y\right) = F_{129}\! \left(x , y\right) F_{133}\! \left(x , y\right)
F_{133}\! \left(x , y\right) = F_{126}\! \left(x , y\right)+F_{134}\! \left(x , y\right)
F_{134}\! \left(x , y\right) = F_{127}\! \left(x , y\right)+F_{135}\! \left(x , y\right)
F_{135}\! \left(x , y\right) = F_{136}\! \left(x , y\right)
F_{136}\! \left(x , y\right) = F_{129}\! \left(x , y\right) F_{137}\! \left(x , y\right)
F_{137}\! \left(x , y\right) = F_{127}\! \left(x , y\right)+F_{135}\! \left(x , y\right)
F_{138}\! \left(x , y\right) = F_{139}\! \left(x , y\right)+F_{193}\! \left(x , y\right)+F_{36}\! \left(x \right)
F_{139}\! \left(x , y\right) = F_{140}\! \left(x , y\right) F_{20}\! \left(x \right)
F_{140}\! \left(x , y\right) = F_{130}\! \left(x , y\right)+F_{141}\! \left(x , y\right)
F_{141}\! \left(x , y\right) = F_{142}\! \left(x , y\right)+F_{160}\! \left(x , y\right)
F_{142}\! \left(x , y\right) = F_{143}\! \left(x , y\right)+F_{149}\! \left(x , y\right)+F_{36}\! \left(x \right)
F_{143}\! \left(x , y\right) = F_{144}\! \left(x , y\right) F_{20}\! \left(x \right)
F_{144}\! \left(x , y\right) = F_{145}\! \left(x , y\right)+F_{146}\! \left(x , y\right)
F_{145}\! \left(x , y\right) = F_{131}\! \left(x , y\right)+F_{142}\! \left(x , y\right)
F_{146}\! \left(x , y\right) = F_{147}\! \left(x , y\right)+F_{157}\! \left(x , y\right)
F_{147}\! \left(x , y\right) = F_{148}\! \left(x , y\right)+F_{149}\! \left(x , y\right)+F_{36}\! \left(x \right)
F_{148}\! \left(x , y\right) = F_{131}\! \left(x , y\right) F_{20}\! \left(x \right)
F_{149}\! \left(x , y\right) = F_{129}\! \left(x , y\right) F_{150}\! \left(x , y\right)
F_{150}\! \left(x , y\right) = F_{151}\! \left(x , y\right)+F_{154}\! \left(x , y\right)
F_{151}\! \left(x , y\right) = F_{152}\! \left(x , y\right)+F_{20}\! \left(x \right)
F_{152}\! \left(x , y\right) = F_{153}\! \left(x , y\right)
F_{153}\! \left(x , y\right) = F_{127}\! \left(x , y\right) F_{20}\! \left(x \right)
F_{154}\! \left(x , y\right) = F_{152}\! \left(x , y\right)+F_{155}\! \left(x , y\right)
F_{155}\! \left(x , y\right) = F_{156}\! \left(x , y\right)
F_{156}\! \left(x , y\right) = F_{135}\! \left(x , y\right) F_{20}\! \left(x \right)
F_{157}\! \left(x , y\right) = F_{158}\! \left(x , y\right)
F_{158}\! \left(x , y\right) = F_{159}\! \left(x , y\right) F_{20}\! \left(x \right)
F_{159}\! \left(x , y\right) = F_{146}\! \left(x , y\right)
F_{160}\! \left(x , y\right) = F_{161}\! \left(x , y\right)+F_{167}\! \left(x , y\right)+F_{175}\! \left(x , y\right)+F_{36}\! \left(x \right)
F_{161}\! \left(x , y\right) = F_{162}\! \left(x , y\right) F_{20}\! \left(x \right)
F_{162}\! \left(x , y\right) = F_{163}\! \left(x , y\right)+F_{164}\! \left(x , y\right)
F_{163}\! \left(x , y\right) = F_{138}\! \left(x , y\right)+F_{160}\! \left(x , y\right)
F_{164}\! \left(x , y\right) = F_{165}\! \left(x , y\right)+F_{190}\! \left(x , y\right)
F_{165}\! \left(x , y\right) = F_{166}\! \left(x , y\right)+F_{167}\! \left(x , y\right)+F_{175}\! \left(x , y\right)+F_{36}\! \left(x \right)
F_{166}\! \left(x , y\right) = F_{138}\! \left(x , y\right) F_{20}\! \left(x \right)
F_{167}\! \left(x , y\right) = F_{168}\! \left(x , y\right) F_{20}\! \left(x \right)
F_{168}\! \left(x , y\right) = F_{169}\! \left(x , y\right)+F_{170}\! \left(x , y\right)
F_{169}\! \left(x , y\right) = F_{147}\! \left(x , y\right)+F_{165}\! \left(x , y\right)
F_{170}\! \left(x , y\right) = F_{171}\! \left(x , y\right)+F_{173}\! \left(x , y\right)
F_{171}\! \left(x , y\right) = F_{172}\! \left(x , y\right)
F_{172}\! \left(x , y\right) = F_{142}\! \left(x , y\right) F_{20}\! \left(x \right)
F_{173}\! \left(x , y\right) = F_{174}\! \left(x , y\right)
F_{174}\! \left(x , y\right) = F_{160}\! \left(x , y\right) F_{20}\! \left(x \right)
F_{175}\! \left(x , y\right) = F_{129}\! \left(x , y\right) F_{176}\! \left(x , y\right)
F_{176}\! \left(x , y\right) = F_{177}\! \left(x , y\right)+F_{184}\! \left(x , y\right)
F_{177}\! \left(x , y\right) = F_{178}\! \left(x \right)+F_{179}\! \left(x , y\right)
F_{178}\! \left(x \right) = F_{68}\! \left(x \right)
F_{179}\! \left(x , y\right) = F_{180}\! \left(x , y\right)
F_{180}\! \left(x , y\right) = F_{181}\! \left(x , y\right) F_{20}\! \left(x \right)
F_{181}\! \left(x , y\right) = F_{182}\! \left(x , y\right)
F_{182}\! \left(x , y\right) = F_{183}\! \left(x , y\right) F_{20}\! \left(x \right)
F_{183}\! \left(x , y\right) = F_{127}\! \left(x , y\right)+F_{181}\! \left(x , y\right)
F_{184}\! \left(x , y\right) = F_{179}\! \left(x , y\right)+F_{185}\! \left(x , y\right)
F_{185}\! \left(x , y\right) = F_{186}\! \left(x , y\right)
F_{186}\! \left(x , y\right) = F_{187}\! \left(x , y\right) F_{20}\! \left(x \right)
F_{187}\! \left(x , y\right) = F_{188}\! \left(x , y\right)
F_{188}\! \left(x , y\right) = F_{189}\! \left(x , y\right) F_{20}\! \left(x \right)
F_{189}\! \left(x , y\right) = F_{135}\! \left(x , y\right)+F_{187}\! \left(x , y\right)
F_{190}\! \left(x , y\right) = F_{191}\! \left(x , y\right)
F_{191}\! \left(x , y\right) = F_{192}\! \left(x , y\right) F_{20}\! \left(x \right)
F_{192}\! \left(x , y\right) = F_{164}\! \left(x , y\right)
F_{193}\! \left(x , y\right) = F_{129}\! \left(x , y\right) F_{194}\! \left(x , y\right)
F_{194}\! \left(x , y\right) = F_{195}\! \left(x , y\right)+F_{196}\! \left(x , y\right)
F_{195}\! \left(x , y\right) = F_{18}\! \left(x \right)+F_{181}\! \left(x , y\right)
F_{196}\! \left(x , y\right) = F_{181}\! \left(x , y\right)+F_{187}\! \left(x , y\right)
F_{197}\! \left(x \right) = F_{198}\! \left(x \right)+F_{487}\! \left(x \right)
F_{198}\! \left(x \right) = F_{199}\! \left(x \right)
F_{199}\! \left(x \right) = F_{20}\! \left(x \right) F_{200}\! \left(x \right)
F_{200}\! \left(x \right) = -F_{421}\! \left(x \right)+F_{201}\! \left(x \right)
F_{201}\! \left(x \right) = \frac{F_{202}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{202}\! \left(x \right) = F_{203}\! \left(x \right)
F_{203}\! \left(x \right) = F_{204}\! \left(x \right)+F_{272}\! \left(x \right)
F_{204}\! \left(x \right) = F_{205}\! \left(x \right) F_{207}\! \left(x \right)
F_{205}\! \left(x \right) = \frac{F_{206}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{206}\! \left(x \right) = F_{2}\! \left(x \right)
F_{207}\! \left(x \right) = F_{208}\! \left(x \right)+F_{27}\! \left(x \right)
F_{208}\! \left(x \right) = F_{209}\! \left(x \right)+F_{266}\! \left(x \right)+F_{36}\! \left(x \right)
F_{209}\! \left(x \right) = F_{20}\! \left(x \right) F_{210}\! \left(x \right)
F_{210}\! \left(x \right) = F_{207}\! \left(x \right)+F_{211}\! \left(x \right)
F_{211}\! \left(x \right) = F_{212}\! \left(x \right)+F_{226}\! \left(x \right)
F_{212}\! \left(x \right) = F_{213}\! \left(x \right)+F_{218}\! \left(x \right)+F_{36}\! \left(x \right)
F_{213}\! \left(x \right) = F_{20}\! \left(x \right) F_{214}\! \left(x \right)
F_{214}\! \left(x \right) = F_{215}\! \left(x \right)+F_{222}\! \left(x \right)
F_{215}\! \left(x \right) = F_{216}\! \left(x \right)+F_{27}\! \left(x \right)
F_{216}\! \left(x \right) = F_{217}\! \left(x \right)+F_{218}\! \left(x \right)+F_{36}\! \left(x \right)
F_{217}\! \left(x \right) = F_{20}\! \left(x \right) F_{215}\! \left(x \right)
F_{218}\! \left(x \right) = F_{20}\! \left(x \right) F_{219}\! \left(x \right)
F_{219}\! \left(x \right) = F_{220}\! \left(x \right)
F_{220}\! \left(x \right) = F_{20}\! \left(x \right)+F_{221}\! \left(x \right)
F_{221}\! \left(x \right) = F_{48}\! \left(x \right)
F_{222}\! \left(x \right) = F_{221}\! \left(x \right)+F_{223}\! \left(x \right)
F_{223}\! \left(x \right) = 2 F_{36}\! \left(x \right)+F_{224}\! \left(x \right)+F_{225}\! \left(x \right)
F_{224}\! \left(x \right) = F_{20}\! \left(x \right) F_{216}\! \left(x \right)
F_{225}\! \left(x \right) = F_{20}\! \left(x \right) F_{222}\! \left(x \right)
F_{226}\! \left(x \right) = F_{227}\! \left(x \right)+F_{232}\! \left(x \right)+F_{238}\! \left(x \right)+F_{36}\! \left(x \right)
F_{227}\! \left(x \right) = F_{20}\! \left(x \right) F_{228}\! \left(x \right)
F_{228}\! \left(x \right) = F_{229}\! \left(x \right)+F_{260}\! \left(x \right)
F_{229}\! \left(x \right) = F_{208}\! \left(x \right)+F_{230}\! \left(x \right)
F_{230}\! \left(x \right) = F_{231}\! \left(x \right)+F_{232}\! \left(x \right)+F_{238}\! \left(x \right)+F_{36}\! \left(x \right)
F_{231}\! \left(x \right) = F_{20}\! \left(x \right) F_{229}\! \left(x \right)
F_{232}\! \left(x \right) = F_{20}\! \left(x \right) F_{233}\! \left(x \right)
F_{233}\! \left(x \right) = F_{234}\! \left(x \right)+F_{251}\! \left(x \right)
F_{234}\! \left(x \right) = F_{235}\! \left(x \right)+F_{236}\! \left(x \right)
F_{235}\! \left(x \right) = F_{218}\! \left(x \right)+F_{36}\! \left(x \right)+F_{48}\! \left(x \right)
F_{236}\! \left(x \right) = F_{232}\! \left(x \right)+F_{237}\! \left(x \right)+F_{238}\! \left(x \right)+F_{36}\! \left(x \right)
F_{237}\! \left(x \right) = F_{20}\! \left(x \right) F_{208}\! \left(x \right)
F_{238}\! \left(x \right) = F_{20}\! \left(x \right) F_{239}\! \left(x \right)
F_{239}\! \left(x \right) = F_{240}\! \left(x \right)
F_{240}\! \left(x \right) = F_{241}\! \left(x \right)+F_{87}\! \left(x \right)
F_{241}\! \left(x \right) = 2 F_{36}\! \left(x \right)+F_{242}\! \left(x \right)+F_{246}\! \left(x \right)
F_{242}\! \left(x \right) = F_{20}\! \left(x \right) F_{243}\! \left(x \right)
F_{243}\! \left(x \right) = F_{244}\! \left(x \right)
F_{244}\! \left(x \right) = F_{20}\! \left(x \right) F_{245}\! \left(x \right)
F_{245}\! \left(x \right) = F_{243}\! \left(x \right)+F_{27}\! \left(x \right)
F_{246}\! \left(x \right) = F_{20}\! \left(x \right) F_{247}\! \left(x \right)
F_{247}\! \left(x \right) = F_{248}\! \left(x \right)
F_{248}\! \left(x \right) = F_{221}\! \left(x \right)+F_{249}\! \left(x \right)
F_{249}\! \left(x \right) = 2 F_{36}\! \left(x \right)+F_{242}\! \left(x \right)+F_{250}\! \left(x \right)
F_{250}\! \left(x \right) = F_{20}\! \left(x \right) F_{248}\! \left(x \right)
F_{251}\! \left(x \right) = F_{252}\! \left(x \right)+F_{256}\! \left(x \right)
F_{252}\! \left(x \right) = F_{224}\! \left(x \right)+F_{253}\! \left(x \right)+F_{255}\! \left(x \right)+F_{36}\! \left(x \right)
F_{253}\! \left(x \right) = F_{20}\! \left(x \right) F_{254}\! \left(x \right)
F_{254}\! \left(x \right) = F_{222}\! \left(x \right)
F_{255}\! \left(x \right) = 0
F_{256}\! \left(x \right) = F_{257}\! \left(x \right)+F_{258}\! \left(x \right)+F_{264}\! \left(x \right)+F_{265}\! \left(x \right)+F_{36}\! \left(x \right)
F_{257}\! \left(x \right) = F_{20}\! \left(x \right) F_{230}\! \left(x \right)
F_{258}\! \left(x \right) = F_{20}\! \left(x \right) F_{259}\! \left(x \right)
F_{259}\! \left(x \right) = F_{260}\! \left(x \right)
F_{260}\! \left(x \right) = F_{261}\! \left(x \right)+F_{262}\! \left(x \right)
F_{261}\! \left(x \right) = F_{237}\! \left(x \right)
F_{262}\! \left(x \right) = 3 F_{36}\! \left(x \right)+F_{257}\! \left(x \right)+F_{263}\! \left(x \right)
F_{263}\! \left(x \right) = F_{20}\! \left(x \right) F_{260}\! \left(x \right)
F_{264}\! \left(x \right) = 0
F_{265}\! \left(x \right) = 0
F_{266}\! \left(x \right) = F_{20}\! \left(x \right) F_{267}\! \left(x \right)
F_{267}\! \left(x \right) = F_{268}\! \left(x \right)
F_{268}\! \left(x \right) = F_{120}\! \left(x \right)+F_{269}\! \left(x \right)
F_{269}\! \left(x \right) = F_{270}\! \left(x \right)
F_{270}\! \left(x \right) = F_{20}\! \left(x \right) F_{271}\! \left(x \right)
F_{271}\! \left(x \right) = F_{245}\! \left(x \right)+F_{248}\! \left(x \right)
F_{272}\! \left(x \right) = F_{273}\! \left(x \right)
F_{273}\! \left(x \right) = F_{20}\! \left(x \right) F_{274}\! \left(x \right)
F_{274}\! \left(x \right) = F_{275}\! \left(x \right)+F_{280}\! \left(x \right)
F_{275}\! \left(x \right) = F_{0}\! \left(x \right) F_{276}\! \left(x \right)
F_{276}\! \left(x \right) = F_{277}\! \left(x \right)
F_{277}\! \left(x \right) = F_{20}\! \left(x \right) F_{278}\! \left(x \right)
F_{278}\! \left(x \right) = \frac{F_{279}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{279}\! \left(x \right) = F_{197}\! \left(x \right)
F_{280}\! \left(x \right) = F_{281}\! \left(x \right)
F_{281}\! \left(x \right) = F_{282}\! \left(x \right)+F_{361}\! \left(x \right)
F_{282}\! \left(x \right) = F_{283}\! \left(x \right)+F_{321}\! \left(x \right)
F_{283}\! \left(x \right) = F_{284}\! \left(x \right) F_{298}\! \left(x \right)
F_{284}\! \left(x \right) = F_{285}\! \left(x \right)+F_{294}\! \left(x \right)
F_{285}\! \left(x \right) = F_{286}\! \left(x \right)
F_{286}\! \left(x \right) = F_{20}\! \left(x \right) F_{287}\! \left(x \right)
F_{287}\! \left(x \right) = F_{288}\! \left(x \right)+F_{289}\! \left(x \right)
F_{288}\! \left(x \right) = F_{0}\! \left(x \right) F_{25}\! \left(x \right)
F_{289}\! \left(x \right) = F_{290}\! \left(x \right)
F_{290}\! \left(x \right) = F_{20}\! \left(x \right) F_{291}\! \left(x \right)
F_{291}\! \left(x \right) = F_{292}\! \left(x \right)+F_{293}\! \left(x \right)
F_{292}\! \left(x \right) = F_{0}\! \left(x \right) F_{205}\! \left(x \right) F_{25}\! \left(x \right)
F_{293}\! \left(x \right) = F_{17}\! \left(x \right) F_{284}\! \left(x \right)
F_{294}\! \left(x \right) = F_{295}\! \left(x \right) F_{297}\! \left(x \right)
F_{295}\! \left(x \right) = F_{296}\! \left(x \right)
F_{296}\! \left(x \right) = F_{0} \left(x \right)^{2} F_{20}\! \left(x \right)
F_{297}\! \left(x \right) = -F_{25}\! \left(x \right)+F_{205}\! \left(x \right)
F_{298}\! \left(x \right) = F_{299}\! \left(x \right)+F_{304}\! \left(x \right)
F_{299}\! \left(x \right) = F_{20}\! \left(x \right)+F_{300}\! \left(x \right)
F_{300}\! \left(x \right) = F_{301}\! \left(x \right)+F_{303}\! \left(x \right)+F_{36}\! \left(x \right)
F_{301}\! \left(x \right) = F_{20}\! \left(x \right) F_{302}\! \left(x \right)
F_{302}\! \left(x \right) = F_{299}\! \left(x \right)
F_{303}\! \left(x \right) = F_{18}\! \left(x \right) F_{20}\! \left(x \right)
F_{304}\! \left(x \right) = F_{305}\! \left(x \right)+F_{308}\! \left(x \right)
F_{305}\! \left(x \right) = F_{303}\! \left(x \right)+F_{306}\! \left(x \right)+F_{36}\! \left(x \right)
F_{306}\! \left(x \right) = F_{20}\! \left(x \right) F_{307}\! \left(x \right)
F_{307}\! \left(x \right) = F_{90}\! \left(x \right)
F_{308}\! \left(x \right) = F_{309}\! \left(x \right)+F_{311}\! \left(x \right)+F_{320}\! \left(x \right)+F_{36}\! \left(x \right)
F_{309}\! \left(x \right) = F_{20}\! \left(x \right) F_{310}\! \left(x \right)
F_{310}\! \left(x \right) = F_{300}\! \left(x \right)+F_{308}\! \left(x \right)
F_{311}\! \left(x \right) = F_{20}\! \left(x \right) F_{312}\! \left(x \right)
F_{312}\! \left(x \right) = F_{313}\! \left(x \right)
F_{313}\! \left(x \right) = F_{314}\! \left(x \right)+F_{317}\! \left(x \right)
F_{314}\! \left(x \right) = F_{315}\! \left(x \right)
F_{315}\! \left(x \right) = F_{20}\! \left(x \right) F_{316}\! \left(x \right)
F_{316}\! \left(x \right) = F_{20}\! \left(x \right)+F_{314}\! \left(x \right)
F_{317}\! \left(x \right) = F_{318}\! \left(x \right)
F_{318}\! \left(x \right) = F_{20}\! \left(x \right) F_{319}\! \left(x \right)
F_{319}\! \left(x \right) = F_{300}\! \left(x \right)+F_{317}\! \left(x \right)
F_{320}\! \left(x \right) = 0
F_{321}\! \left(x \right) = F_{322}\! \left(x \right)
F_{322}\! \left(x \right) = F_{307}\! \left(x \right) F_{323}\! \left(x \right)
F_{323}\! \left(x \right) = -F_{284}\! \left(x \right)+F_{324}\! \left(x \right)
F_{324}\! \left(x \right) = \frac{F_{325}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{325}\! \left(x \right) = F_{326}\! \left(x \right)
F_{326}\! \left(x \right) = -F_{358}\! \left(x \right)+F_{327}\! \left(x \right)
F_{327}\! \left(x \right) = \frac{F_{328}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{328}\! \left(x \right) = F_{329}\! \left(x \right)
F_{329}\! \left(x \right) = F_{20}\! \left(x \right) F_{330}\! \left(x \right)
F_{330}\! \left(x \right) = F_{331}\! \left(x \right)+F_{334}\! \left(x \right)
F_{331}\! \left(x \right) = F_{2}\! \left(x \right) F_{332}\! \left(x \right)
F_{332}\! \left(x \right) = \frac{F_{333}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{333}\! \left(x \right) = F_{297}\! \left(x \right)
F_{334}\! \left(x \right) = F_{335}\! \left(x \right)
F_{335}\! \left(x \right) = F_{17}\! \left(x \right) F_{336}\! \left(x \right)
F_{336}\! \left(x \right) = F_{337}\! \left(x \right)+F_{352}\! \left(x \right)
F_{337}\! \left(x \right) = F_{17}\! \left(x \right) F_{338}\! \left(x \right)
F_{338}\! \left(x \right) = F_{339}\! \left(x \right)
F_{339}\! \left(x \right) = F_{20}\! \left(x \right) F_{340}\! \left(x \right)
F_{340}\! \left(x \right) = F_{341}\! \left(x \right)+F_{347}\! \left(x \right)
F_{341}\! \left(x \right) = F_{0}\! \left(x \right)+F_{342}\! \left(x \right)
F_{342}\! \left(x \right) = F_{2}\! \left(x \right)+F_{343}\! \left(x \right)
F_{343}\! \left(x \right) = F_{344}\! \left(x \right)
F_{344}\! \left(x \right) = F_{20}\! \left(x \right) F_{345}\! \left(x \right)
F_{345}\! \left(x \right) = F_{284}\! \left(x \right)+F_{346}\! \left(x \right)
F_{346}\! \left(x \right) = F_{2}\! \left(x \right) F_{205}\! \left(x \right)
F_{347}\! \left(x \right) = F_{348}\! \left(x \right)
F_{348}\! \left(x \right) = F_{20}\! \left(x \right) F_{349}\! \left(x \right)
F_{349}\! \left(x \right) = F_{287}\! \left(x \right)+F_{350}\! \left(x \right)
F_{350}\! \left(x \right) = F_{351}\! \left(x \right)
F_{351}\! \left(x \right) = F_{0} \left(x \right)^{2} F_{297}\! \left(x \right)
F_{352}\! \left(x \right) = F_{295}\! \left(x \right) F_{353}\! \left(x \right)
F_{353}\! \left(x \right) = -F_{357}\! \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_{356}\! \left(x \right) = F_{0}\! \left(x \right) F_{20}\! \left(x \right) F_{354}\! \left(x \right)
F_{357}\! \left(x \right) = F_{0}\! \left(x \right) F_{17}\! \left(x \right)
F_{358}\! \left(x \right) = F_{2}\! \left(x \right) F_{359}\! \left(x \right)
F_{359}\! \left(x \right) = \frac{F_{360}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{360}\! \left(x \right) = F_{297}\! \left(x \right)
F_{361}\! \left(x \right) = F_{362}\! \left(x \right)
F_{362}\! \left(x \right) = F_{17}\! \left(x \right) F_{20}\! \left(x \right) F_{363}\! \left(x \right)
F_{363}\! \left(x \right) = \frac{F_{364}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{364}\! \left(x \right) = -F_{381}\! \left(x \right)+F_{365}\! \left(x \right)
F_{365}\! \left(x \right) = F_{366}\! \left(x \right)+F_{376}\! \left(x \right)
F_{366}\! \left(x \right) = F_{367}\! \left(x \right)
F_{367}\! \left(x \right) = F_{20}\! \left(x \right) F_{368}\! \left(x \right)
F_{368}\! \left(x \right) = F_{369}\! \left(x \right)+F_{370}\! \left(x \right)
F_{369}\! \left(x \right) = F_{17}\! \left(x \right) F_{285}\! \left(x \right)
F_{370}\! \left(x \right) = F_{25}\! \left(x \right) F_{295}\! \left(x \right) F_{371}\! \left(x \right)
F_{371}\! \left(x \right) = F_{2}\! \left(x \right)+F_{372}\! \left(x \right)
F_{372}\! \left(x \right) = F_{373}\! \left(x \right)
F_{373}\! \left(x \right) = F_{20}\! \left(x \right) F_{374}\! \left(x \right)
F_{374}\! \left(x \right) = F_{355}\! \left(x \right)+F_{375}\! \left(x \right)
F_{375}\! \left(x \right) = F_{18}\! \left(x \right) F_{354}\! \left(x \right)
F_{376}\! \left(x \right) = F_{295}\! \left(x \right) F_{377}\! \left(x \right) F_{378}\! \left(x \right)
F_{377}\! \left(x \right) = F_{17}\! \left(x \right)+F_{371}\! \left(x \right)
F_{378}\! \left(x \right) = F_{379}\! \left(x \right)
F_{379}\! \left(x \right) = F_{20}\! \left(x \right) F_{380}\! \left(x \right)
F_{380}\! \left(x \right) = F_{297}\! \left(x \right)+F_{346}\! \left(x \right)
F_{381}\! \left(x \right) = F_{295}\! \left(x \right) F_{371}\! \left(x \right) F_{382}\! \left(x \right)
F_{382}\! \left(x \right) = F_{378}\! \left(x \right)+F_{383}\! \left(x \right)
F_{383}\! \left(x \right) = F_{20}\! \left(x \right)+F_{384}\! \left(x \right)
F_{384}\! \left(x \right) = F_{385}\! \left(x \right)
F_{385}\! \left(x \right) = F_{20}\! \left(x \right) F_{386}\! \left(x \right)
F_{386}\! \left(x \right) = F_{383}\! \left(x \right)+F_{387}\! \left(x \right)
F_{387}\! \left(x \right) = F_{388}\! \left(x \right)+F_{397}\! \left(x \right)
F_{388}\! \left(x \right) = F_{389}\! \left(x \right)
F_{389}\! \left(x \right) = F_{20}\! \left(x \right) F_{390}\! \left(x \right)
F_{390}\! \left(x \right) = F_{316}\! \left(x \right)+F_{391}\! \left(x \right)
F_{391}\! \left(x \right) = F_{392}\! \left(x \right)+F_{394}\! \left(x \right)
F_{392}\! \left(x \right) = F_{393}\! \left(x \right)
F_{393}\! \left(x \right) = x^{2}
F_{394}\! \left(x \right) = 2 F_{36}\! \left(x \right)+F_{395}\! \left(x \right)+F_{396}\! \left(x \right)
F_{395}\! \left(x \right) = F_{20}\! \left(x \right) F_{314}\! \left(x \right)
F_{396}\! \left(x \right) = F_{20}\! \left(x \right) F_{391}\! \left(x \right)
F_{397}\! \left(x \right) = 2 F_{36}\! \left(x \right)+F_{398}\! \left(x \right)+F_{403}\! \left(x \right)
F_{398}\! \left(x \right) = F_{20}\! \left(x \right) F_{399}\! \left(x \right)
F_{399}\! \left(x \right) = F_{400}\! \left(x \right)+F_{416}\! \left(x \right)
F_{400}\! \left(x \right) = F_{384}\! \left(x \right)+F_{401}\! \left(x \right)
F_{401}\! \left(x \right) = 2 F_{36}\! \left(x \right)+F_{402}\! \left(x \right)+F_{403}\! \left(x \right)
F_{402}\! \left(x \right) = F_{20}\! \left(x \right) F_{400}\! \left(x \right)
F_{403}\! \left(x \right) = F_{20}\! \left(x \right) F_{404}\! \left(x \right)
F_{404}\! \left(x \right) = F_{405}\! \left(x \right)+F_{408}\! \left(x \right)
F_{405}\! \left(x \right) = F_{392}\! \left(x \right)+F_{406}\! \left(x \right)
F_{406}\! \left(x \right) = 2 F_{36}\! \left(x \right)+F_{403}\! \left(x \right)+F_{407}\! \left(x \right)
F_{407}\! \left(x \right) = F_{20}\! \left(x \right) F_{384}\! \left(x \right)
F_{408}\! \left(x \right) = F_{409}\! \left(x \right)+F_{412}\! \left(x \right)
F_{409}\! \left(x \right) = 2 F_{36}\! \left(x \right)+F_{395}\! \left(x \right)+F_{410}\! \left(x \right)
F_{410}\! \left(x \right) = F_{20}\! \left(x \right) F_{411}\! \left(x \right)
F_{411}\! \left(x \right) = F_{391}\! \left(x \right)
F_{412}\! \left(x \right) = 2 F_{36}\! \left(x \right)+F_{413}\! \left(x \right)+F_{414}\! \left(x \right)+F_{420}\! \left(x \right)
F_{413}\! \left(x \right) = F_{20}\! \left(x \right) F_{401}\! \left(x \right)
F_{414}\! \left(x \right) = F_{20}\! \left(x \right) F_{415}\! \left(x \right)
F_{415}\! \left(x \right) = F_{416}\! \left(x \right)
F_{416}\! \left(x \right) = F_{417}\! \left(x \right)+F_{418}\! \left(x \right)
F_{417}\! \left(x \right) = F_{407}\! \left(x \right)
F_{418}\! \left(x \right) = 3 F_{36}\! \left(x \right)+F_{413}\! \left(x \right)+F_{419}\! \left(x \right)
F_{419}\! \left(x \right) = F_{20}\! \left(x \right) F_{416}\! \left(x \right)
F_{420}\! \left(x \right) = 0
F_{421}\! \left(x \right) = F_{205}\! \left(x \right) F_{422}\! \left(x \right)
F_{422}\! \left(x \right) = F_{307}\! \left(x \right)+F_{423}\! \left(x \right)
F_{423}\! \left(x \right) = F_{384}\! \left(x \right)+F_{424}\! \left(x \right)
F_{424}\! \left(x \right) = 2 F_{36}\! \left(x \right)+F_{425}\! \left(x \right)+F_{482}\! \left(x \right)
F_{425}\! \left(x \right) = F_{20}\! \left(x \right) F_{426}\! \left(x \right)
F_{426}\! \left(x \right) = F_{427}\! \left(x \right)+F_{428}\! \left(x \right)
F_{427}\! \left(x \right) = F_{305}\! \left(x \right)+F_{424}\! \left(x \right)
F_{428}\! \left(x \right) = F_{429}\! \left(x \right)+F_{443}\! \left(x \right)
F_{429}\! \left(x \right) = 2 F_{36}\! \left(x \right)+F_{430}\! \left(x \right)+F_{435}\! \left(x \right)
F_{430}\! \left(x \right) = F_{20}\! \left(x \right) F_{431}\! \left(x \right)
F_{431}\! \left(x \right) = F_{432}\! \left(x \right)+F_{439}\! \left(x \right)
F_{432}\! \left(x \right) = F_{305}\! \left(x \right)+F_{433}\! \left(x \right)
F_{433}\! \left(x \right) = 2 F_{36}\! \left(x \right)+F_{434}\! \left(x \right)+F_{435}\! \left(x \right)
F_{434}\! \left(x \right) = F_{20}\! \left(x \right) F_{432}\! \left(x \right)
F_{435}\! \left(x \right) = F_{20}\! \left(x \right) F_{436}\! \left(x \right)
F_{436}\! \left(x \right) = F_{392}\! \left(x \right)+F_{437}\! \left(x \right)
F_{437}\! \left(x \right) = F_{438}\! \left(x \right)
F_{438}\! \left(x \right) = F_{20}\! \left(x \right) F_{305}\! \left(x \right)
F_{439}\! \left(x \right) = F_{437}\! \left(x \right)+F_{440}\! \left(x \right)
F_{440}\! \left(x \right) = 3 F_{36}\! \left(x \right)+F_{441}\! \left(x \right)+F_{442}\! \left(x \right)
F_{441}\! \left(x \right) = F_{20}\! \left(x \right) F_{433}\! \left(x \right)
F_{442}\! \left(x \right) = F_{20}\! \left(x \right) F_{439}\! \left(x \right)
F_{443}\! \left(x \right) = 2 F_{36}\! \left(x \right)+F_{444}\! \left(x \right)+F_{449}\! \left(x \right)+F_{455}\! \left(x \right)
F_{444}\! \left(x \right) = F_{20}\! \left(x \right) F_{445}\! \left(x \right)
F_{445}\! \left(x \right) = F_{446}\! \left(x \right)+F_{476}\! \left(x \right)
F_{446}\! \left(x \right) = F_{424}\! \left(x \right)+F_{447}\! \left(x \right)
F_{447}\! \left(x \right) = 2 F_{36}\! \left(x \right)+F_{448}\! \left(x \right)+F_{449}\! \left(x \right)+F_{455}\! \left(x \right)
F_{448}\! \left(x \right) = F_{20}\! \left(x \right) F_{446}\! \left(x \right)
F_{449}\! \left(x \right) = F_{20}\! \left(x \right) F_{450}\! \left(x \right)
F_{450}\! \left(x \right) = F_{451}\! \left(x \right)+F_{467}\! \left(x \right)
F_{451}\! \left(x \right) = F_{452}\! \left(x \right)+F_{453}\! \left(x \right)
F_{452}\! \left(x \right) = 2 F_{36}\! \left(x \right)+F_{435}\! \left(x \right)+F_{438}\! \left(x \right)
F_{453}\! \left(x \right) = 2 F_{36}\! \left(x \right)+F_{449}\! \left(x \right)+F_{454}\! \left(x \right)+F_{455}\! \left(x \right)
F_{454}\! \left(x \right) = F_{20}\! \left(x \right) F_{424}\! \left(x \right)
F_{455}\! \left(x \right) = F_{20}\! \left(x \right) F_{456}\! \left(x \right)
F_{456}\! \left(x \right) = F_{409}\! \left(x \right)+F_{457}\! \left(x \right)
F_{457}\! \left(x \right) = 3 F_{36}\! \left(x \right)+F_{458}\! \left(x \right)+F_{462}\! \left(x \right)
F_{458}\! \left(x \right) = F_{20}\! \left(x \right) F_{459}\! \left(x \right)
F_{459}\! \left(x \right) = F_{460}\! \left(x \right)
F_{460}\! \left(x \right) = F_{20}\! \left(x \right) F_{461}\! \left(x \right)
F_{461}\! \left(x \right) = F_{305}\! \left(x \right)+F_{459}\! \left(x \right)
F_{462}\! \left(x \right) = F_{20}\! \left(x \right) F_{463}\! \left(x \right)
F_{463}\! \left(x \right) = F_{464}\! \left(x \right)
F_{464}\! \left(x \right) = F_{437}\! \left(x \right)+F_{465}\! \left(x \right)
F_{465}\! \left(x \right) = 3 F_{36}\! \left(x \right)+F_{458}\! \left(x \right)+F_{466}\! \left(x \right)
F_{466}\! \left(x \right) = F_{20}\! \left(x \right) F_{464}\! \left(x \right)
F_{467}\! \left(x \right) = F_{468}\! \left(x \right)+F_{472}\! \left(x \right)
F_{468}\! \left(x \right) = 2 F_{36}\! \left(x \right)+F_{441}\! \left(x \right)+F_{469}\! \left(x \right)+F_{471}\! \left(x \right)
F_{469}\! \left(x \right) = F_{20}\! \left(x \right) F_{470}\! \left(x \right)
F_{470}\! \left(x \right) = F_{439}\! \left(x \right)
F_{471}\! \left(x \right) = 0
F_{472}\! \left(x \right) = 2 F_{36}\! \left(x \right)+F_{473}\! \left(x \right)+F_{474}\! \left(x \right)+F_{480}\! \left(x \right)+F_{481}\! \left(x \right)
F_{473}\! \left(x \right) = F_{20}\! \left(x \right) F_{447}\! \left(x \right)
F_{474}\! \left(x \right) = F_{20}\! \left(x \right) F_{475}\! \left(x \right)
F_{475}\! \left(x \right) = F_{476}\! \left(x \right)
F_{476}\! \left(x \right) = F_{477}\! \left(x \right)+F_{478}\! \left(x \right)
F_{477}\! \left(x \right) = F_{454}\! \left(x \right)
F_{478}\! \left(x \right) = 4 F_{36}\! \left(x \right)+F_{473}\! \left(x \right)+F_{479}\! \left(x \right)
F_{479}\! \left(x \right) = F_{20}\! \left(x \right) F_{476}\! \left(x \right)
F_{480}\! \left(x \right) = 0
F_{481}\! \left(x \right) = 0
F_{482}\! \left(x \right) = F_{20}\! \left(x \right) F_{483}\! \left(x \right)
F_{483}\! \left(x \right) = F_{388}\! \left(x \right)+F_{484}\! \left(x \right)
F_{484}\! \left(x \right) = F_{485}\! \left(x \right)
F_{485}\! \left(x \right) = F_{20}\! \left(x \right) F_{486}\! \left(x \right)
F_{486}\! \left(x \right) = F_{461}\! \left(x \right)+F_{464}\! \left(x \right)
F_{487}\! \left(x \right) = F_{488}\! \left(x \right)
F_{488}\! \left(x \right) = F_{489}\! \left(x \right)+F_{505}\! \left(x \right)
F_{489}\! \left(x \right) = F_{490}\! \left(x \right)
F_{490}\! \left(x \right) = F_{20}\! \left(x \right) F_{491}\! \left(x \right)
F_{491}\! \left(x \right) = F_{492}\! \left(x \right)+F_{493}\! \left(x \right)
F_{492}\! \left(x \right) = F_{25}\! \left(x \right) F_{371}\! \left(x \right)
F_{493}\! \left(x \right) = F_{494}\! \left(x \right)
F_{494}\! \left(x \right) = F_{20}\! \left(x \right) F_{495}\! \left(x \right)
F_{495}\! \left(x \right) = F_{496}\! \left(x \right)+F_{497}\! \left(x \right)
F_{496}\! \left(x \right) = F_{205}\! \left(x \right) F_{25}\! \left(x \right) F_{377}\! \left(x \right)
F_{497}\! \left(x \right) = F_{17}\! \left(x \right) F_{498}\! \left(x \right)
F_{498}\! \left(x \right) = F_{499}\! \left(x \right)
F_{499}\! \left(x \right) = F_{20}\! \left(x \right) F_{500}\! \left(x \right)
F_{500}\! \left(x \right) = F_{501}\! \left(x \right)+F_{503}\! \left(x \right)
F_{501}\! \left(x \right) = F_{493}\! \left(x \right)+F_{502}\! \left(x \right)
F_{502}\! \left(x \right) = F_{25}\! \left(x \right) F_{377}\! \left(x \right)
F_{503}\! \left(x \right) = F_{504}\! \left(x \right)
F_{504}\! \left(x \right) = F_{0}\! \left(x \right) F_{297}\! \left(x \right) F_{377}\! \left(x \right)
F_{505}\! \left(x \right) = F_{372}\! \left(x \right) F_{57}\! \left(x \right)
F_{506}\! \left(x \right) = F_{507}\! \left(x \right)
F_{507}\! \left(x \right) = F_{17}\! \left(x \right) F_{18}\! \left(x \right) F_{25}\! \left(x \right) F_{377}\! \left(x \right)
F_{508}\! \left(x \right) = F_{509}\! \left(x \right)+F_{540}\! \left(x \right)
F_{509}\! \left(x \right) = F_{377}\! \left(x \right) F_{510}\! \left(x \right)
F_{510}\! \left(x \right) = -F_{538}\! \left(x \right)+F_{511}\! \left(x \right)
F_{511}\! \left(x \right) = F_{512}\! \left(x \right)+F_{522}\! \left(x \right)
F_{512}\! \left(x \right) = F_{513}\! \left(x \right)+F_{516}\! \left(x \right)
F_{513}\! \left(x \right) = -F_{25}\! \left(x \right)+F_{514}\! \left(x \right)
F_{514}\! \left(x \right) = \frac{F_{515}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{515}\! \left(x \right) = F_{2}\! \left(x \right)
F_{516}\! \left(x \right) = F_{517}\! \left(x \right)
F_{517}\! \left(x \right) = F_{20}\! \left(x \right) F_{518}\! \left(x \right)
F_{518}\! \left(x \right) = F_{519}\! \left(x , 1\right)
F_{519}\! \left(x , y\right) = F_{512}\! \left(x \right)+F_{520}\! \left(x , y\right)
F_{520}\! \left(x , y\right) = F_{521}\! \left(x , y\right)
F_{521}\! \left(x , y\right) = F_{126}\! \left(x , y\right)^{2} F_{129}\! \left(x , y\right) F_{511}\! \left(x \right)
F_{522}\! \left(x \right) = -F_{537}\! \left(x \right)+F_{523}\! \left(x \right)
F_{523}\! \left(x \right) = \frac{F_{524}\! \left(x \right)}{F_{17}\! \left(x \right) F_{20}\! \left(x \right)}
F_{524}\! \left(x \right) = F_{525}\! \left(x \right)
F_{525}\! \left(x \right) = F_{526}\! \left(x \right)+F_{527}\! \left(x \right)
F_{526}\! \left(x \right) = F_{17}\! \left(x \right) F_{2}\! \left(x \right)
F_{527}\! \left(x \right) = F_{528}\! \left(x \right)
F_{528}\! \left(x \right) = F_{17}\! \left(x \right) F_{20}\! \left(x \right) F_{529}\! \left(x \right)
F_{529}\! \left(x \right) = F_{530}\! \left(x \right)+F_{531}\! \left(x \right)
F_{530}\! \left(x \right) = F_{17}\! \left(x \right) F_{2}\! \left(x \right)
F_{531}\! \left(x \right) = F_{532}\! \left(x \right)
F_{532}\! \left(x \right) = F_{5}\! \left(x \right)+F_{533}\! \left(x \right)
F_{533}\! \left(x \right) = F_{534}\! \left(x \right)
F_{534}\! \left(x \right) = F_{0}\! \left(x \right) F_{20}\! \left(x \right) F_{535}\! \left(x \right)
F_{535}\! \left(x \right) = F_{522}\! \left(x \right)+F_{536}\! \left(x \right)
F_{536}\! \left(x \right) = F_{516}\! \left(x \right)+F_{57}\! \left(x \right)
F_{537}\! \left(x \right) = F_{514}\! \left(x \right)+F_{536}\! \left(x \right)
F_{538}\! \left(x \right) = F_{539}\! \left(x \right)
F_{539}\! \left(x \right) = F_{17}\! \left(x \right) F_{18}\! \left(x \right) F_{25}\! \left(x \right)
F_{540}\! \left(x \right) = F_{541}\! \left(x \right)
F_{541}\! \left(x \right) = F_{542}\! \left(x \right)
F_{542}\! \left(x \right) = F_{20}\! \left(x \right) F_{543}\! \left(x \right)
F_{543}\! \left(x \right) = F_{544}\! \left(x \right)+F_{551}\! \left(x \right)
F_{544}\! \left(x \right) = F_{545}\! \left(x \right)+F_{547}\! \left(x \right)
F_{545}\! \left(x \right) = F_{546}\! \left(x \right)
F_{546}\! \left(x \right) = F_{17}\! \left(x \right) F_{18}\! \left(x \right) F_{287}\! \left(x \right)
F_{547}\! \left(x \right) = F_{548}\! \left(x \right)
F_{548}\! \left(x \right) = F_{0}\! \left(x \right) F_{549}\! \left(x \right)
F_{549}\! \left(x \right) = F_{541}\! \left(x \right)+F_{550}\! \left(x \right)
F_{550}\! \left(x \right) = F_{0}\! \left(x \right) F_{510}\! \left(x \right)
F_{551}\! \left(x \right) = F_{552}\! \left(x \right)
F_{552}\! \left(x \right) = F_{20}\! \left(x \right) F_{553}\! \left(x \right)
F_{553}\! \left(x \right) = F_{554}\! \left(x \right)+F_{560}\! \left(x \right)
F_{554}\! \left(x \right) = F_{555}\! \left(x \right)
F_{555}\! \left(x \right) = F_{17}\! \left(x \right) F_{18}\! \left(x \right) F_{556}\! \left(x \right)
F_{556}\! \left(x \right) = F_{557}\! \left(x \right)+F_{558}\! \left(x \right)
F_{557}\! \left(x \right) = F_{17}\! \left(x \right) F_{287}\! \left(x \right)
F_{558}\! \left(x \right) = F_{559}\! \left(x \right)
F_{559}\! \left(x \right) = F_{0} \left(x \right)^{2} F_{25}\! \left(x \right) F_{371}\! \left(x \right)
F_{560}\! \left(x \right) = F_{561}\! \left(x \right)
F_{561}\! \left(x \right) = F_{0} \left(x \right)^{2} F_{377}\! \left(x \right) F_{510}\! \left(x \right)
F_{562}\! \left(x \right) = F_{563}\! \left(x \right)
F_{563}\! \left(x \right) = F_{20}\! \left(x \right) F_{377}\! \left(x \right) F_{535}\! \left(x \right)
F_{564}\! \left(x \right) = F_{565}\! \left(x \right)
F_{565}\! \left(x \right) = F_{20}\! \left(x \right) F_{566}\! \left(x \right)
F_{566}\! \left(x \right) = F_{499}\! \left(x \right)
System of equations in sympy syntax:
Eq(F_0(x), F_1(x) + F_2(x))
Eq(F_1(x), 1)
Eq(F_2(x), F_3(x))
Eq(F_3(x), F_20(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), -F_564(x) + F_6(x))
Eq(F_6(x), -F_562(x) + F_7(x))
Eq(F_7(x), F_8(x))
Eq(F_8(x), F_20(x)*F_9(x))
Eq(F_9(x), F_10(x) + F_508(x))
Eq(F_10(x), F_11(x) + F_506(x))
Eq(F_11(x), F_12(x) + F_197(x))
Eq(F_12(x), F_13(x))
Eq(F_13(x), F_14(x, 1))
Eq(F_14(x, k_0), F_130(x, k_0) + F_15(x, k_0))
Eq(F_15(x, k_0), F_126(x, k_0)*F_16(x))
Eq(F_16(x), F_17(x) + F_21(x))
Eq(F_17(x), F_1(x) + F_18(x))
Eq(F_18(x), F_19(x))
Eq(F_19(x), F_17(x)*F_20(x))
Eq(F_20(x), x)
Eq(F_21(x), F_22(x) + F_54(x))
Eq(F_22(x), F_23(x))
Eq(F_23(x), F_20(x)*F_24(x))
Eq(F_24(x), F_25(x) + F_26(x))
Eq(F_25(x), F_1(x) + F_22(x))
Eq(F_26(x), F_27(x) + F_35(x))
Eq(F_27(x), F_28(x))
Eq(F_28(x), F_20(x)*F_29(x))
Eq(F_29(x), F_30(x) + F_31(x))
Eq(F_30(x), F_1(x) + F_27(x))
Eq(F_31(x), F_20(x) + F_32(x))
Eq(F_32(x), F_33(x))
Eq(F_33(x), F_20(x)*F_34(x))
Eq(F_34(x), F_31(x))
Eq(F_35(x), F_36(x) + F_37(x) + F_43(x))
Eq(F_36(x), 0)
Eq(F_37(x), F_20(x)*F_38(x))
Eq(F_38(x), F_39(x) + F_40(x))
Eq(F_39(x), F_22(x) + F_35(x))
Eq(F_40(x), F_41(x) + F_51(x))
Eq(F_41(x), F_36(x) + F_42(x) + F_43(x))
Eq(F_42(x), F_20(x)*F_22(x))
Eq(F_43(x), F_20(x)*F_44(x))
Eq(F_44(x), F_45(x) + F_46(x))
Eq(F_45(x), F_20(x) + F_41(x))
Eq(F_46(x), F_47(x) + F_49(x))
Eq(F_47(x), F_48(x))
Eq(F_48(x), F_20(x)*F_27(x))
Eq(F_49(x), F_50(x))
Eq(F_50(x), F_20(x)*F_35(x))
Eq(F_51(x), F_52(x))
Eq(F_52(x), F_20(x)*F_53(x))
Eq(F_53(x), F_40(x))
Eq(F_54(x), F_118(x) + F_36(x) + F_55(x))
Eq(F_55(x), F_20(x)*F_56(x))
Eq(F_56(x), F_57(x) + F_58(x))
Eq(F_57(x), F_18(x) + F_54(x))
Eq(F_58(x), F_59(x) + F_73(x))
Eq(F_59(x), F_36(x) + F_60(x) + F_65(x))
Eq(F_60(x), F_20(x)*F_61(x))
Eq(F_61(x), F_62(x) + F_69(x))
Eq(F_62(x), F_18(x) + F_63(x))
Eq(F_63(x), F_36(x) + F_64(x) + F_65(x))
Eq(F_64(x), F_20(x)*F_62(x))
Eq(F_65(x), F_20(x)*F_66(x))
Eq(F_66(x), F_20(x) + F_67(x))
Eq(F_67(x), F_68(x))
Eq(F_68(x), F_18(x)*F_20(x))
Eq(F_69(x), F_67(x) + F_70(x))
Eq(F_70(x), 2*F_36(x) + F_71(x) + F_72(x))
Eq(F_71(x), F_20(x)*F_63(x))
Eq(F_72(x), F_20(x)*F_69(x))
Eq(F_73(x), F_36(x) + F_74(x) + F_79(x) + F_85(x))
Eq(F_74(x), F_20(x)*F_75(x))
Eq(F_75(x), F_112(x) + F_76(x))
Eq(F_76(x), F_54(x) + F_77(x))
Eq(F_77(x), F_36(x) + F_78(x) + F_79(x) + F_85(x))
Eq(F_78(x), F_20(x)*F_76(x))
Eq(F_79(x), F_20(x)*F_80(x))
Eq(F_80(x), F_103(x) + F_81(x))
Eq(F_81(x), F_82(x) + F_83(x))
Eq(F_82(x), F_36(x) + F_65(x) + F_68(x))
Eq(F_83(x), F_36(x) + F_79(x) + F_84(x) + F_85(x))
Eq(F_84(x), F_20(x)*F_54(x))
Eq(F_85(x), F_20(x)*F_86(x))
Eq(F_86(x), F_87(x) + F_93(x))
Eq(F_87(x), F_36(x) + F_68(x) + F_88(x))
Eq(F_88(x), F_20(x)*F_89(x))
Eq(F_89(x), F_90(x))
Eq(F_90(x), F_20(x) + F_91(x))
Eq(F_91(x), F_36(x) + F_68(x) + F_92(x))
Eq(F_92(x), F_20(x)*F_90(x))
Eq(F_93(x), 2*F_36(x) + F_94(x) + F_98(x))
Eq(F_94(x), F_20(x)*F_95(x))
Eq(F_95(x), F_96(x))
Eq(F_96(x), F_20(x)*F_97(x))
Eq(F_97(x), F_18(x) + F_95(x))
Eq(F_98(x), F_20(x)*F_99(x))
Eq(F_99(x), F_100(x))
Eq(F_100(x), F_101(x) + F_67(x))
Eq(F_101(x), F_102(x) + 2*F_36(x) + F_94(x))
Eq(F_102(x), F_100(x)*F_20(x))
Eq(F_103(x), F_104(x) + F_108(x))
Eq(F_104(x), F_105(x) + F_107(x) + F_36(x) + F_71(x))
Eq(F_105(x), F_106(x)*F_20(x))
Eq(F_106(x), F_69(x))
Eq(F_107(x), 0)
Eq(F_108(x), F_109(x) + F_110(x) + F_116(x) + F_117(x) + F_36(x))
Eq(F_109(x), F_20(x)*F_77(x))
Eq(F_110(x), F_111(x)*F_20(x))
Eq(F_111(x), F_112(x))
Eq(F_112(x), F_113(x) + F_114(x))
Eq(F_113(x), F_84(x))
Eq(F_114(x), F_109(x) + F_115(x) + 3*F_36(x))
Eq(F_115(x), F_112(x)*F_20(x))
Eq(F_116(x), 0)
Eq(F_117(x), 0)
Eq(F_118(x), F_119(x)*F_20(x))
Eq(F_119(x), F_120(x) + F_123(x))
Eq(F_120(x), F_121(x))
Eq(F_121(x), F_122(x)*F_20(x))
Eq(F_122(x), F_17(x) + F_90(x))
Eq(F_123(x), F_124(x))
Eq(F_124(x), F_125(x)*F_20(x))
Eq(F_125(x), F_100(x) + F_97(x))
Eq(F_126(x, k_0), F_1(x) + F_127(x, k_0))
Eq(F_127(x, k_0), F_128(x, k_0))
Eq(F_128(x, k_0), F_126(x, k_0)*F_129(x, k_0))
Eq(F_129(x, k_0), k_0*x)
Eq(F_130(x, k_0), F_131(x, k_0) + F_138(x, k_0))
Eq(F_131(x, k_0), F_132(x, k_0))
Eq(F_132(x, k_0), F_129(x, k_0)*F_133(x, k_0))
Eq(F_133(x, k_0), F_126(x, k_0) + F_134(x, k_0))
Eq(F_134(x, k_0), F_127(x, k_0) + F_135(x, k_0))
Eq(F_135(x, k_0), F_136(x, k_0))
Eq(F_136(x, k_0), F_129(x, k_0)*F_137(x, k_0))
Eq(F_137(x, k_0), F_127(x, k_0) + F_135(x, k_0))
Eq(F_138(x, k_0), F_139(x, k_0) + F_193(x, k_0) + F_36(x))
Eq(F_139(x, k_0), F_140(x, k_0)*F_20(x))
Eq(F_140(x, k_0), F_130(x, k_0) + F_141(x, k_0))
Eq(F_141(x, k_0), F_142(x, k_0) + F_160(x, k_0))
Eq(F_142(x, k_0), F_143(x, k_0) + F_149(x, k_0) + F_36(x))
Eq(F_143(x, k_0), F_144(x, k_0)*F_20(x))
Eq(F_144(x, k_0), F_145(x, k_0) + F_146(x, k_0))
Eq(F_145(x, k_0), F_131(x, k_0) + F_142(x, k_0))
Eq(F_146(x, k_0), F_147(x, k_0) + F_157(x, k_0))
Eq(F_147(x, k_0), F_148(x, k_0) + F_149(x, k_0) + F_36(x))
Eq(F_148(x, k_0), F_131(x, k_0)*F_20(x))
Eq(F_149(x, k_0), F_129(x, k_0)*F_150(x, k_0))
Eq(F_150(x, k_0), F_151(x, k_0) + F_154(x, k_0))
Eq(F_151(x, k_0), F_152(x, k_0) + F_20(x))
Eq(F_152(x, k_0), F_153(x, k_0))
Eq(F_153(x, k_0), F_127(x, k_0)*F_20(x))
Eq(F_154(x, k_0), F_152(x, k_0) + F_155(x, k_0))
Eq(F_155(x, k_0), F_156(x, k_0))
Eq(F_156(x, k_0), F_135(x, k_0)*F_20(x))
Eq(F_157(x, k_0), F_158(x, k_0))
Eq(F_158(x, k_0), F_159(x, k_0)*F_20(x))
Eq(F_159(x, k_0), F_146(x, k_0))
Eq(F_160(x, k_0), F_161(x, k_0) + F_167(x, k_0) + F_175(x, k_0) + F_36(x))
Eq(F_161(x, k_0), F_162(x, k_0)*F_20(x))
Eq(F_162(x, k_0), F_163(x, k_0) + F_164(x, k_0))
Eq(F_163(x, k_0), F_138(x, k_0) + F_160(x, k_0))
Eq(F_164(x, k_0), F_165(x, k_0) + F_190(x, k_0))
Eq(F_165(x, k_0), F_166(x, k_0) + F_167(x, k_0) + F_175(x, k_0) + F_36(x))
Eq(F_166(x, k_0), F_138(x, k_0)*F_20(x))
Eq(F_167(x, k_0), F_168(x, k_0)*F_20(x))
Eq(F_168(x, k_0), F_169(x, k_0) + F_170(x, k_0))
Eq(F_169(x, k_0), F_147(x, k_0) + F_165(x, k_0))
Eq(F_170(x, k_0), F_171(x, k_0) + F_173(x, k_0))
Eq(F_171(x, k_0), F_172(x, k_0))
Eq(F_172(x, k_0), F_142(x, k_0)*F_20(x))
Eq(F_173(x, k_0), F_174(x, k_0))
Eq(F_174(x, k_0), F_160(x, k_0)*F_20(x))
Eq(F_175(x, k_0), F_129(x, k_0)*F_176(x, k_0))
Eq(F_176(x, k_0), F_177(x, k_0) + F_184(x, k_0))
Eq(F_177(x, k_0), F_178(x) + F_179(x, k_0))
Eq(F_178(x), F_68(x))
Eq(F_179(x, k_0), F_180(x, k_0))
Eq(F_180(x, k_0), F_181(x, k_0)*F_20(x))
Eq(F_181(x, k_0), F_182(x, k_0))
Eq(F_182(x, k_0), F_183(x, k_0)*F_20(x))
Eq(F_183(x, k_0), F_127(x, k_0) + F_181(x, k_0))
Eq(F_184(x, k_0), F_179(x, k_0) + F_185(x, k_0))
Eq(F_185(x, k_0), F_186(x, k_0))
Eq(F_186(x, k_0), F_187(x, k_0)*F_20(x))
Eq(F_187(x, k_0), F_188(x, k_0))
Eq(F_188(x, k_0), F_189(x, k_0)*F_20(x))
Eq(F_189(x, k_0), F_135(x, k_0) + F_187(x, k_0))
Eq(F_190(x, k_0), F_191(x, k_0))
Eq(F_191(x, k_0), F_192(x, k_0)*F_20(x))
Eq(F_192(x, k_0), F_164(x, k_0))
Eq(F_193(x, k_0), F_129(x, k_0)*F_194(x, k_0))
Eq(F_194(x, k_0), F_195(x, k_0) + F_196(x, k_0))
Eq(F_195(x, k_0), F_18(x) + F_181(x, k_0))
Eq(F_196(x, k_0), F_181(x, k_0) + F_187(x, k_0))
Eq(F_197(x), F_198(x) + F_487(x))
Eq(F_198(x), F_199(x))
Eq(F_199(x), F_20(x)*F_200(x))
Eq(F_200(x), F_201(x) - F_421(x))
Eq(F_201(x), F_202(x)/F_20(x))
Eq(F_202(x), F_203(x))
Eq(F_203(x), F_204(x) + F_272(x))
Eq(F_204(x), F_205(x)*F_207(x))
Eq(F_205(x), F_206(x)/F_20(x))
Eq(F_206(x), F_2(x))
Eq(F_207(x), F_208(x) + F_27(x))
Eq(F_208(x), F_209(x) + F_266(x) + F_36(x))
Eq(F_209(x), F_20(x)*F_210(x))
Eq(F_210(x), F_207(x) + F_211(x))
Eq(F_211(x), F_212(x) + F_226(x))
Eq(F_212(x), F_213(x) + F_218(x) + F_36(x))
Eq(F_213(x), F_20(x)*F_214(x))
Eq(F_214(x), F_215(x) + F_222(x))
Eq(F_215(x), F_216(x) + F_27(x))
Eq(F_216(x), F_217(x) + F_218(x) + F_36(x))
Eq(F_217(x), F_20(x)*F_215(x))
Eq(F_218(x), F_20(x)*F_219(x))
Eq(F_219(x), F_220(x))
Eq(F_220(x), F_20(x) + F_221(x))
Eq(F_221(x), F_48(x))
Eq(F_222(x), F_221(x) + F_223(x))
Eq(F_223(x), F_224(x) + F_225(x) + 2*F_36(x))
Eq(F_224(x), F_20(x)*F_216(x))
Eq(F_225(x), F_20(x)*F_222(x))
Eq(F_226(x), F_227(x) + F_232(x) + F_238(x) + F_36(x))
Eq(F_227(x), F_20(x)*F_228(x))
Eq(F_228(x), F_229(x) + F_260(x))
Eq(F_229(x), F_208(x) + F_230(x))
Eq(F_230(x), F_231(x) + F_232(x) + F_238(x) + F_36(x))
Eq(F_231(x), F_20(x)*F_229(x))
Eq(F_232(x), F_20(x)*F_233(x))
Eq(F_233(x), F_234(x) + F_251(x))
Eq(F_234(x), F_235(x) + F_236(x))
Eq(F_235(x), F_218(x) + F_36(x) + F_48(x))
Eq(F_236(x), F_232(x) + F_237(x) + F_238(x) + F_36(x))
Eq(F_237(x), F_20(x)*F_208(x))
Eq(F_238(x), F_20(x)*F_239(x))
Eq(F_239(x), F_240(x))
Eq(F_240(x), F_241(x) + F_87(x))
Eq(F_241(x), F_242(x) + F_246(x) + 2*F_36(x))
Eq(F_242(x), F_20(x)*F_243(x))
Eq(F_243(x), F_244(x))
Eq(F_244(x), F_20(x)*F_245(x))
Eq(F_245(x), F_243(x) + F_27(x))
Eq(F_246(x), F_20(x)*F_247(x))
Eq(F_247(x), F_248(x))
Eq(F_248(x), F_221(x) + F_249(x))
Eq(F_249(x), F_242(x) + F_250(x) + 2*F_36(x))
Eq(F_250(x), F_20(x)*F_248(x))
Eq(F_251(x), F_252(x) + F_256(x))
Eq(F_252(x), F_224(x) + F_253(x) + F_255(x) + F_36(x))
Eq(F_253(x), F_20(x)*F_254(x))
Eq(F_254(x), F_222(x))
Eq(F_255(x), 0)
Eq(F_256(x), F_257(x) + F_258(x) + F_264(x) + F_265(x) + F_36(x))
Eq(F_257(x), F_20(x)*F_230(x))
Eq(F_258(x), F_20(x)*F_259(x))
Eq(F_259(x), F_260(x))
Eq(F_260(x), F_261(x) + F_262(x))
Eq(F_261(x), F_237(x))
Eq(F_262(x), F_257(x) + F_263(x) + 3*F_36(x))
Eq(F_263(x), F_20(x)*F_260(x))
Eq(F_264(x), 0)
Eq(F_265(x), 0)
Eq(F_266(x), F_20(x)*F_267(x))
Eq(F_267(x), F_268(x))
Eq(F_268(x), F_120(x) + F_269(x))
Eq(F_269(x), F_270(x))
Eq(F_270(x), F_20(x)*F_271(x))
Eq(F_271(x), F_245(x) + F_248(x))
Eq(F_272(x), F_273(x))
Eq(F_273(x), F_20(x)*F_274(x))
Eq(F_274(x), F_275(x) + F_280(x))
Eq(F_275(x), F_0(x)*F_276(x))
Eq(F_276(x), F_277(x))
Eq(F_277(x), F_20(x)*F_278(x))
Eq(F_278(x), F_279(x)/F_20(x))
Eq(F_279(x), F_197(x))
Eq(F_280(x), F_281(x))
Eq(F_281(x), F_282(x) + F_361(x))
Eq(F_282(x), F_283(x) + F_321(x))
Eq(F_283(x), F_284(x)*F_298(x))
Eq(F_284(x), F_285(x) + F_294(x))
Eq(F_285(x), F_286(x))
Eq(F_286(x), F_20(x)*F_287(x))
Eq(F_287(x), F_288(x) + F_289(x))
Eq(F_288(x), F_0(x)*F_25(x))
Eq(F_289(x), F_290(x))
Eq(F_290(x), F_20(x)*F_291(x))
Eq(F_291(x), F_292(x) + F_293(x))
Eq(F_292(x), F_0(x)*F_205(x)*F_25(x))
Eq(F_293(x), F_17(x)*F_284(x))
Eq(F_294(x), F_295(x)*F_297(x))
Eq(F_295(x), F_296(x))
Eq(F_296(x), F_0(x)**2*F_20(x))
Eq(F_297(x), F_205(x) - F_25(x))
Eq(F_298(x), F_299(x) + F_304(x))
Eq(F_299(x), F_20(x) + F_300(x))
Eq(F_300(x), F_301(x) + F_303(x) + F_36(x))
Eq(F_301(x), F_20(x)*F_302(x))
Eq(F_302(x), F_299(x))
Eq(F_303(x), F_18(x)*F_20(x))
Eq(F_304(x), F_305(x) + F_308(x))
Eq(F_305(x), F_303(x) + F_306(x) + F_36(x))
Eq(F_306(x), F_20(x)*F_307(x))
Eq(F_307(x), F_90(x))
Eq(F_308(x), F_309(x) + F_311(x) + F_320(x) + F_36(x))
Eq(F_309(x), F_20(x)*F_310(x))
Eq(F_310(x), F_300(x) + F_308(x))
Eq(F_311(x), F_20(x)*F_312(x))
Eq(F_312(x), F_313(x))
Eq(F_313(x), F_314(x) + F_317(x))
Eq(F_314(x), F_315(x))
Eq(F_315(x), F_20(x)*F_316(x))
Eq(F_316(x), F_20(x) + F_314(x))
Eq(F_317(x), F_318(x))
Eq(F_318(x), F_20(x)*F_319(x))
Eq(F_319(x), F_300(x) + F_317(x))
Eq(F_320(x), 0)
Eq(F_321(x), F_322(x))
Eq(F_322(x), F_307(x)*F_323(x))
Eq(F_323(x), -F_284(x) + F_324(x))
Eq(F_324(x), F_325(x)/F_17(x))
Eq(F_325(x), F_326(x))
Eq(F_326(x), F_327(x) - F_358(x))
Eq(F_327(x), F_328(x)/F_20(x))
Eq(F_328(x), F_329(x))
Eq(F_329(x), F_20(x)*F_330(x))
Eq(F_330(x), F_331(x) + F_334(x))
Eq(F_331(x), F_2(x)*F_332(x))
Eq(F_332(x), F_333(x)/F_20(x))
Eq(F_333(x), F_297(x))
Eq(F_334(x), F_335(x))
Eq(F_335(x), F_17(x)*F_336(x))
Eq(F_336(x), F_337(x) + F_352(x))
Eq(F_337(x), F_17(x)*F_338(x))
Eq(F_338(x), F_339(x))
Eq(F_339(x), F_20(x)*F_340(x))
Eq(F_340(x), F_341(x) + F_347(x))
Eq(F_341(x), F_0(x) + F_342(x))
Eq(F_342(x), F_2(x) + F_343(x))
Eq(F_343(x), F_344(x))
Eq(F_344(x), F_20(x)*F_345(x))
Eq(F_345(x), F_284(x) + F_346(x))
Eq(F_346(x), F_2(x)*F_205(x))
Eq(F_347(x), F_348(x))
Eq(F_348(x), F_20(x)*F_349(x))
Eq(F_349(x), F_287(x) + F_350(x))
Eq(F_350(x), F_351(x))
Eq(F_351(x), F_0(x)**2*F_297(x))
Eq(F_352(x), F_295(x)*F_353(x))
Eq(F_353(x), F_354(x) - F_357(x))
Eq(F_354(x), F_355(x) + F_4(x))
Eq(F_355(x), F_356(x))
Eq(F_356(x), F_0(x)*F_20(x)*F_354(x))
Eq(F_357(x), F_0(x)*F_17(x))
Eq(F_358(x), F_2(x)*F_359(x))
Eq(F_359(x), F_360(x)/F_20(x))
Eq(F_360(x), F_297(x))
Eq(F_361(x), F_362(x))
Eq(F_362(x), F_17(x)*F_20(x)*F_363(x))
Eq(F_363(x), F_364(x)/F_17(x))
Eq(F_364(x), F_365(x) - F_381(x))
Eq(F_365(x), F_366(x) + F_376(x))
Eq(F_366(x), F_367(x))
Eq(F_367(x), F_20(x)*F_368(x))
Eq(F_368(x), F_369(x) + F_370(x))
Eq(F_369(x), F_17(x)*F_285(x))
Eq(F_370(x), F_25(x)*F_295(x)*F_371(x))
Eq(F_371(x), F_2(x) + F_372(x))
Eq(F_372(x), F_373(x))
Eq(F_373(x), F_20(x)*F_374(x))
Eq(F_374(x), F_355(x) + F_375(x))
Eq(F_375(x), F_18(x)*F_354(x))
Eq(F_376(x), F_295(x)*F_377(x)*F_378(x))
Eq(F_377(x), F_17(x) + F_371(x))
Eq(F_378(x), F_379(x))
Eq(F_379(x), F_20(x)*F_380(x))
Eq(F_380(x), F_297(x) + F_346(x))
Eq(F_381(x), F_295(x)*F_371(x)*F_382(x))
Eq(F_382(x), F_378(x) + F_383(x))
Eq(F_383(x), F_20(x) + F_384(x))
Eq(F_384(x), F_385(x))
Eq(F_385(x), F_20(x)*F_386(x))
Eq(F_386(x), F_383(x) + F_387(x))
Eq(F_387(x), F_388(x) + F_397(x))
Eq(F_388(x), F_389(x))
Eq(F_389(x), F_20(x)*F_390(x))
Eq(F_390(x), F_316(x) + F_391(x))
Eq(F_391(x), F_392(x) + F_394(x))
Eq(F_392(x), F_393(x))
Eq(F_393(x), x**2)
Eq(F_394(x), 2*F_36(x) + F_395(x) + F_396(x))
Eq(F_395(x), F_20(x)*F_314(x))
Eq(F_396(x), F_20(x)*F_391(x))
Eq(F_397(x), 2*F_36(x) + F_398(x) + F_403(x))
Eq(F_398(x), F_20(x)*F_399(x))
Eq(F_399(x), F_400(x) + F_416(x))
Eq(F_400(x), F_384(x) + F_401(x))
Eq(F_401(x), 2*F_36(x) + F_402(x) + F_403(x))
Eq(F_402(x), F_20(x)*F_400(x))
Eq(F_403(x), F_20(x)*F_404(x))
Eq(F_404(x), F_405(x) + F_408(x))
Eq(F_405(x), F_392(x) + F_406(x))
Eq(F_406(x), 2*F_36(x) + F_403(x) + F_407(x))
Eq(F_407(x), F_20(x)*F_384(x))
Eq(F_408(x), F_409(x) + F_412(x))
Eq(F_409(x), 2*F_36(x) + F_395(x) + F_410(x))
Eq(F_410(x), F_20(x)*F_411(x))
Eq(F_411(x), F_391(x))
Eq(F_412(x), 2*F_36(x) + F_413(x) + F_414(x) + F_420(x))
Eq(F_413(x), F_20(x)*F_401(x))
Eq(F_414(x), F_20(x)*F_415(x))
Eq(F_415(x), F_416(x))
Eq(F_416(x), F_417(x) + F_418(x))
Eq(F_417(x), F_407(x))
Eq(F_418(x), 3*F_36(x) + F_413(x) + F_419(x))
Eq(F_419(x), F_20(x)*F_416(x))
Eq(F_420(x), 0)
Eq(F_421(x), F_205(x)*F_422(x))
Eq(F_422(x), F_307(x) + F_423(x))
Eq(F_423(x), F_384(x) + F_424(x))
Eq(F_424(x), 2*F_36(x) + F_425(x) + F_482(x))
Eq(F_425(x), F_20(x)*F_426(x))
Eq(F_426(x), F_427(x) + F_428(x))
Eq(F_427(x), F_305(x) + F_424(x))
Eq(F_428(x), F_429(x) + F_443(x))
Eq(F_429(x), 2*F_36(x) + F_430(x) + F_435(x))
Eq(F_430(x), F_20(x)*F_431(x))
Eq(F_431(x), F_432(x) + F_439(x))
Eq(F_432(x), F_305(x) + F_433(x))
Eq(F_433(x), 2*F_36(x) + F_434(x) + F_435(x))
Eq(F_434(x), F_20(x)*F_432(x))
Eq(F_435(x), F_20(x)*F_436(x))
Eq(F_436(x), F_392(x) + F_437(x))
Eq(F_437(x), F_438(x))
Eq(F_438(x), F_20(x)*F_305(x))
Eq(F_439(x), F_437(x) + F_440(x))
Eq(F_440(x), 3*F_36(x) + F_441(x) + F_442(x))
Eq(F_441(x), F_20(x)*F_433(x))
Eq(F_442(x), F_20(x)*F_439(x))
Eq(F_443(x), 2*F_36(x) + F_444(x) + F_449(x) + F_455(x))
Eq(F_444(x), F_20(x)*F_445(x))
Eq(F_445(x), F_446(x) + F_476(x))
Eq(F_446(x), F_424(x) + F_447(x))
Eq(F_447(x), 2*F_36(x) + F_448(x) + F_449(x) + F_455(x))
Eq(F_448(x), F_20(x)*F_446(x))
Eq(F_449(x), F_20(x)*F_450(x))
Eq(F_450(x), F_451(x) + F_467(x))
Eq(F_451(x), F_452(x) + F_453(x))
Eq(F_452(x), 2*F_36(x) + F_435(x) + F_438(x))
Eq(F_453(x), 2*F_36(x) + F_449(x) + F_454(x) + F_455(x))
Eq(F_454(x), F_20(x)*F_424(x))
Eq(F_455(x), F_20(x)*F_456(x))
Eq(F_456(x), F_409(x) + F_457(x))
Eq(F_457(x), 3*F_36(x) + F_458(x) + F_462(x))
Eq(F_458(x), F_20(x)*F_459(x))
Eq(F_459(x), F_460(x))
Eq(F_460(x), F_20(x)*F_461(x))
Eq(F_461(x), F_305(x) + F_459(x))
Eq(F_462(x), F_20(x)*F_463(x))
Eq(F_463(x), F_464(x))
Eq(F_464(x), F_437(x) + F_465(x))
Eq(F_465(x), 3*F_36(x) + F_458(x) + F_466(x))
Eq(F_466(x), F_20(x)*F_464(x))
Eq(F_467(x), F_468(x) + F_472(x))
Eq(F_468(x), 2*F_36(x) + F_441(x) + F_469(x) + F_471(x))
Eq(F_469(x), F_20(x)*F_470(x))
Eq(F_470(x), F_439(x))
Eq(F_471(x), 0)
Eq(F_472(x), 2*F_36(x) + F_473(x) + F_474(x) + F_480(x) + F_481(x))
Eq(F_473(x), F_20(x)*F_447(x))
Eq(F_474(x), F_20(x)*F_475(x))
Eq(F_475(x), F_476(x))
Eq(F_476(x), F_477(x) + F_478(x))
Eq(F_477(x), F_454(x))
Eq(F_478(x), 4*F_36(x) + F_473(x) + F_479(x))
Eq(F_479(x), F_20(x)*F_476(x))
Eq(F_480(x), 0)
Eq(F_481(x), 0)
Eq(F_482(x), F_20(x)*F_483(x))
Eq(F_483(x), F_388(x) + F_484(x))
Eq(F_484(x), F_485(x))
Eq(F_485(x), F_20(x)*F_486(x))
Eq(F_486(x), F_461(x) + F_464(x))
Eq(F_487(x), F_488(x))
Eq(F_488(x), F_489(x) + F_505(x))
Eq(F_489(x), F_490(x))
Eq(F_490(x), F_20(x)*F_491(x))
Eq(F_491(x), F_492(x) + F_493(x))
Eq(F_492(x), F_25(x)*F_371(x))
Eq(F_493(x), F_494(x))
Eq(F_494(x), F_20(x)*F_495(x))
Eq(F_495(x), F_496(x) + F_497(x))
Eq(F_496(x), F_205(x)*F_25(x)*F_377(x))
Eq(F_497(x), F_17(x)*F_498(x))
Eq(F_498(x), F_499(x))
Eq(F_499(x), F_20(x)*F_500(x))
Eq(F_500(x), F_501(x) + F_503(x))
Eq(F_501(x), F_493(x) + F_502(x))
Eq(F_502(x), F_25(x)*F_377(x))
Eq(F_503(x), F_504(x))
Eq(F_504(x), F_0(x)*F_297(x)*F_377(x))
Eq(F_505(x), F_372(x)*F_57(x))
Eq(F_506(x), F_507(x))
Eq(F_507(x), F_17(x)*F_18(x)*F_25(x)*F_377(x))
Eq(F_508(x), F_509(x) + F_540(x))
Eq(F_509(x), F_377(x)*F_510(x))
Eq(F_510(x), F_511(x) - F_538(x))
Eq(F_511(x), F_512(x) + F_522(x))
Eq(F_512(x), F_513(x) + F_516(x))
Eq(F_513(x), -F_25(x) + F_514(x))
Eq(F_514(x), F_515(x)/F_20(x))
Eq(F_515(x), F_2(x))
Eq(F_516(x), F_517(x))
Eq(F_517(x), F_20(x)*F_518(x))
Eq(F_518(x), F_519(x, 1))
Eq(F_519(x, k_0), F_512(x) + F_520(x, k_0))
Eq(F_520(x, k_0), F_521(x, k_0))
Eq(F_521(x, k_0), F_126(x, k_0)**2*F_129(x, k_0)*F_511(x))
Eq(F_522(x), F_523(x) - F_537(x))
Eq(F_523(x), F_524(x)/(F_17(x)*F_20(x)))
Eq(F_524(x), F_525(x))
Eq(F_525(x), F_526(x) + F_527(x))
Eq(F_526(x), F_17(x)*F_2(x))
Eq(F_527(x), F_528(x))
Eq(F_528(x), F_17(x)*F_20(x)*F_529(x))
Eq(F_529(x), F_530(x) + F_531(x))
Eq(F_530(x), F_17(x)*F_2(x))
Eq(F_531(x), F_532(x))
Eq(F_532(x), F_5(x) + F_533(x))
Eq(F_533(x), F_534(x))
Eq(F_534(x), F_0(x)*F_20(x)*F_535(x))
Eq(F_535(x), F_522(x) + F_536(x))
Eq(F_536(x), F_516(x) + F_57(x))
Eq(F_537(x), F_514(x) + F_536(x))
Eq(F_538(x), F_539(x))
Eq(F_539(x), F_17(x)*F_18(x)*F_25(x))
Eq(F_540(x), F_541(x))
Eq(F_541(x), F_542(x))
Eq(F_542(x), F_20(x)*F_543(x))
Eq(F_543(x), F_544(x) + F_551(x))
Eq(F_544(x), F_545(x) + F_547(x))
Eq(F_545(x), F_546(x))
Eq(F_546(x), F_17(x)*F_18(x)*F_287(x))
Eq(F_547(x), F_548(x))
Eq(F_548(x), F_0(x)*F_549(x))
Eq(F_549(x), F_541(x) + F_550(x))
Eq(F_550(x), F_0(x)*F_510(x))
Eq(F_551(x), F_552(x))
Eq(F_552(x), F_20(x)*F_553(x))
Eq(F_553(x), F_554(x) + F_560(x))
Eq(F_554(x), F_555(x))
Eq(F_555(x), F_17(x)*F_18(x)*F_556(x))
Eq(F_556(x), F_557(x) + F_558(x))
Eq(F_557(x), F_17(x)*F_287(x))
Eq(F_558(x), F_559(x))
Eq(F_559(x), F_0(x)**2*F_25(x)*F_371(x))
Eq(F_560(x), F_561(x))
Eq(F_561(x), F_0(x)**2*F_377(x)*F_510(x))
Eq(F_562(x), F_563(x))
Eq(F_563(x), F_20(x)*F_377(x)*F_535(x))
Eq(F_564(x), F_565(x))
Eq(F_565(x), F_20(x)*F_566(x))
Eq(F_566(x), F_499(x))
Pack JSON:
{"name": "point_placements_tracked_fusion_tracked_component_fusion_symmetries", "initial_strats": [{"class_module": "tilings.strategies.rearrange_assumption", "strategy_class": "RearrangeAssumptionFactory"}, {"class_module": "tilings.strategies.assumption_insertion", "strategy_class": "AddAssumptionFactory"}, {"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionFactory", "tracked": true}, {"class_module": "tilings.strategies.fusion.component", "strategy_class": "ComponentFusionFactory", "tracked": true, "isolation_level": null}, {"class_module": "tilings.strategies.detect_components", "strategy_class": "DetectComponentsStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": true, "workable": true}, {"class_module": "tilings.strategies.monotone_sliding", "strategy_class": "MonotoneSlidingFactory"}, {"class_module": "tilings.strategies.point_jumping", "strategy_class": "AssumptionAndPointJumpingFactory"}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "ComponentVerificationStrategy", "ignore_parent": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}], [{"class_module": "tilings.strategies.requirement_placement", "strategy_class": "FusableRowAndColumnPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "place_row": true, "place_col": true}]], "symmetries": [{"class_module": "tilings.strategies.symmetry", "strategy_class": "SymmetriesFactory", "basis": null}], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 4, 3, 1], "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, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 4, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 4, 2, 0, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 4, 3, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 4, 1, 0, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 3, 2, 0], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [2, 3, 0, 1], "pos": [[1, 2], [1, 2], [1, 0], [1, 2]]}, {"patt": [2, 3, 0, 1], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [2, 3, 1, 0], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [3, 1, 0, 2], "pos": [[1, 2], [1, 0], [1, 0], [1, 2]]}, {"patt": [3, 1, 0, 2], "pos": [[1, 2], [1, 2], [1, 0], [1, 2]]}, {"patt": [3, 1, 0, 2], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [3, 2, 0, 1], "pos": [[1, 2], [1, 2], [1, 0], [1, 2]]}, {"patt": [3, 2, 0, 1], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [3, 2, 1, 0], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 0], [1, 0], [1, 2], [1, 2], [1, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[1, 0], [1, 2], [1, 2], [1, 0], [1, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[1, 0], [1, 2], [1, 2], [1, 0], [1, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[1, 0], [1, 2], [1, 2], [1, 0], [1, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[1, 0], [1, 2], [1, 2], [1, 0], [1, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {"patt": [1, 3, 4, 0, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 4, 0, 2], "pos": [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {"patt": [1, 3, 4, 0, 2], "pos": [[1, 0], [1, 2], [1, 2], [1, 0], [1, 0]]}, {"patt": [1, 4, 2, 0, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 4, 2, 0, 3], "pos": [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 4, 3, 0, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 4, 3, 0, 2], 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[1, 1]]}, {"patt": [1, 0], "pos": [[3, 0], [3, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[1, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[2, 1], [2, 1], [2, 1]]}, {"patt": [1, 0, 2], "pos": [[5, 1], [5, 1], [5, 1]]}, {"patt": [1, 2, 0], "pos": [[0, 1], [2, 1], [2, 1]]}, {"patt": [1, 2, 0], "pos": [[0, 1], [2, 1], [4, 1]]}, {"patt": [1, 2, 0], "pos": [[0, 1], [2, 1], [5, 1]]}, {"patt": [1, 2, 0], "pos": [[0, 1], [5, 1], [5, 1]]}, {"patt": [1, 2, 0], "pos": [[1, 1], [2, 1], [2, 1]]}, {"patt": [1, 2, 0], "pos": [[1, 1], [2, 1], [4, 1]]}, {"patt": [1, 2, 0], "pos": [[1, 1], [2, 1], [5, 1]]}, {"patt": [1, 2, 0], "pos": [[1, 1], [5, 1], [5, 1]]}, {"patt": [1, 2, 0], "pos": [[2, 1], [2, 1], [2, 1]]}, {"patt": [1, 2, 0], "pos": [[2, 1], [2, 1], [4, 1]]}, {"patt": [1, 2, 0], "pos": [[2, 1], [2, 1], [5, 1]]}, {"patt": [1, 2, 0], "pos": [[2, 1], [5, 1], [5, 1]]}, {"patt": [1, 2, 0], "pos": [[4, 1], [5, 1], [5, 1]]}, {"patt": [2, 0, 1], "pos": [[0, 1], [2, 1], [4, 1]]}, {"patt": [2, 0, 1], "pos": [[0, 1], [2, 1], [5, 1]]}, {"patt": [2, 0, 1], "pos": [[0, 1], [5, 1], [5, 1]]}, {"patt": [2, 0, 1], "pos": [[1, 1], [2, 1], [4, 1]]}, {"patt": [2, 0, 1], "pos": [[1, 1], [2, 1], [5, 1]]}, {"patt": [2, 0, 1], "pos": [[1, 1], [5, 1], [5, 1]]}, {"patt": [2, 0, 1], "pos": [[2, 1], [2, 1], [4, 1]]}, {"patt": [2, 0, 1], "pos": [[2, 1], [2, 1], [5, 1]]}, {"patt": [2, 0, 1], "pos": [[2, 1], [5, 1], [5, 1]]}, {"patt": [2, 0, 1], "pos": [[4, 1], [5, 1], [5, 1]]}, {"patt": [2, 0, 1], "pos": [[5, 1], [5, 1], [5, 1]]}, {"patt": [2, 1, 0], "pos": [[0, 1], [2, 1], [2, 1]]}, {"patt": [2, 1, 0], "pos": [[0, 1], [2, 1], [4, 1]]}, {"patt": [2, 1, 0], "pos": [[0, 1], [2, 1], [5, 1]]}, {"patt": [2, 1, 0], "pos": [[0, 1], [5, 1], [5, 1]]}, {"patt": [2, 1, 0], "pos": [[1, 1], [2, 1], [2, 1]]}, {"patt": [2, 1, 0], "pos": [[1, 1], [2, 1], [4, 1]]}, {"patt": [2, 1, 0], "pos": [[1, 1], [2, 1], [5, 1]]}, {"patt": [2, 1, 0], "pos": [[1, 1], [5, 1], [5, 1]]}, {"patt": [2, 1, 0], "pos": [[2, 1], [2, 1], [2, 1]]}, {"patt": [2, 1, 0], "pos": [[2, 1], [2, 1], [4, 1]]}, {"patt": [2, 1, 0], "pos": [[2, 1], [2, 1], [5, 1]]}, {"patt": [2, 1, 0], "pos": [[2, 1], [5, 1], [5, 1]]}, {"patt": [2, 1, 0], "pos": [[4, 1], [5, 1], [5, 1]]}, {"patt": [2, 1, 0], "pos": [[5, 1], [5, 1], [5, 1]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 1], [4, 1], [4, 1], [4, 1]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 1], [4, 1], [4, 1], [5, 1]]}, {"patt": [1, 3, 2, 0], "pos": [[1, 1], [4, 1], [4, 1], [4, 1]]}, {"patt": [1, 3, 2, 0], "pos": [[1, 1], [4, 1], [4, 1], [5, 1]]}, {"patt": [1, 3, 2, 0], "pos": [[2, 1], [4, 1], [4, 1], [4, 1]]}, {"patt": [1, 3, 2, 0], "pos": [[2, 1], [4, 1], [4, 1], [5, 1]]}, {"patt": [1, 3, 2, 0], "pos": [[4, 1], [4, 1], [4, 1], [4, 1]]}, {"patt": [1, 3, 2, 0], "pos": [[4, 1], [4, 1], [4, 1], [5, 1]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 1], [4, 1], [4, 1], [4, 1]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 1], [4, 1], [4, 1], [5, 1]]}, {"patt": [2, 3, 0, 1], "pos": [[1, 1], [4, 1], [4, 1], [4, 1]]}, {"patt": [2, 3, 0, 1], "pos": [[1, 1], [4, 1], [4, 1], [5, 1]]}, {"patt": [2, 3, 0, 1], "pos": [[2, 1], [4, 1], [4, 1], [4, 1]]}, {"patt": [2, 3, 0, 1], "pos": [[2, 1], [4, 1], [4, 1], [5, 1]]}, {"patt": [2, 3, 0, 1], "pos": [[4, 1], [4, 1], [4, 1], [4, 1]]}, {"patt": [2, 3, 0, 1], "pos": [[4, 1], [4, 1], [4, 1], [5, 1]]}, {"patt": [2, 3, 1, 0], "pos": [[0, 1], [4, 1], [4, 1], [4, 1]]}, {"patt": [2, 3, 1, 0], "pos": [[0, 1], [4, 1], [4, 1], [5, 1]]}, {"patt": [2, 3, 1, 0], "pos": [[1, 1], [4, 1], [4, 1], [4, 1]]}, {"patt": [2, 3, 1, 0], "pos": [[1, 1], [4, 1], [4, 1], [5, 1]]}, {"patt": [2, 3, 1, 0], "pos": [[2, 1], [4, 1], [4, 1], [4, 1]]}, {"patt": [2, 3, 1, 0], "pos": [[2, 1], [4, 1], [4, 1], [5, 1]]}, {"patt": [2, 3, 1, 0], "pos": [[4, 1], [4, 1], [4, 1], [4, 1]]}, {"patt": [2, 3, 1, 0], "pos": [[4, 1], [4, 1], [4, 1], [5, 1]]}, {"patt": [3, 1, 0, 2], "pos": [[0, 1], [4, 1], [4, 1], [4, 1]]}, {"patt": [3, 1, 0, 2], "pos": [[0, 1], [4, 1], [4, 1], [5, 1]]}, {"patt": [3, 1, 0, 2], "pos": [[1, 1], [4, 1], [4, 1], [4, 1]]}, {"patt": [3, 1, 0, 2], "pos": [[1, 1], [4, 1], [4, 1], [5, 1]]}, {"patt": [3, 1, 0, 2], "pos": [[2, 1], [4, 1], [4, 1], [4, 1]]}, {"patt": [3, 1, 0, 2], "pos": [[2, 1], [4, 1], [4, 1], [5, 1]]}, {"patt": [3, 1, 0, 2], "pos": [[4, 1], [4, 1], [4, 1], [4, 1]]}, {"patt": [3, 1, 0, 2], "pos": [[4, 1], [4, 1], [4, 1], [5, 1]]}, {"patt": [3, 2, 0, 1], "pos": [[0, 1], [4, 1], [4, 1], [4, 1]]}, {"patt": [3, 2, 0, 1], "pos": [[0, 1], [4, 1], [4, 1], [5, 1]]}, {"patt": [3, 2, 0, 1], "pos": [[1, 1], [4, 1], [4, 1], [4, 1]]}, {"patt": [3, 2, 0, 1], "pos": [[1, 1], [4, 1], [4, 1], [5, 1]]}, {"patt": [3, 2, 0, 1], "pos": [[2, 1], [4, 1], [4, 1], [4, 1]]}, {"patt": [3, 2, 0, 1], "pos": [[2, 1], [4, 1], [4, 1], [5, 1]]}, {"patt": [3, 2, 0, 1], "pos": [[4, 1], [4, 1], [4, 1], [4, 1]]}, {"patt": [3, 2, 0, 1], "pos": [[4, 1], [4, 1], [4, 1], [5, 1]]}, {"patt": [3, 2, 1, 0], "pos": [[0, 1], [4, 1], [4, 1], [4, 1]]}, {"patt": [3, 2, 1, 0], "pos": [[0, 1], [4, 1], [4, 1], [5, 1]]}, {"patt": [3, 2, 1, 0], "pos": [[1, 1], [4, 1], [4, 1], [4, 1]]}, {"patt": [3, 2, 1, 0], "pos": [[1, 1], [4, 1], [4, 1], [5, 1]]}, {"patt": [3, 2, 1, 0], "pos": [[2, 1], [4, 1], [4, 1], [4, 1]]}, {"patt": [3, 2, 1, 0], "pos": [[2, 1], [4, 1], [4, 1], [5, 1]]}, {"patt": [3, 2, 1, 0], "pos": [[4, 1], [4, 1], [4, 1], [4, 1]]}, {"patt": [3, 2, 1, 0], "pos": [[4, 1], [4, 1], [4, 1], [5, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}], [{"patt": [0], "pos": [[1, 1]]}], [{"patt": [0], "pos": [[3, 0]]}], [{"patt": [0], "pos": [[5, 1]]}]], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[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], [4, 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": [[0, 1], [4, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [2, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [4, 1]]}, {"patt": [1, 0], "pos": [[2, 1], [2, 1]]}, {"patt": [1, 0], "pos": [[2, 1], [4, 1]]}, {"patt": [1, 0], "pos": [[3, 0], [3, 0]]}, {"patt": [1, 0, 2], "pos": [[4, 1], [4, 1], [4, 1]]}, {"patt": [2, 0, 1], "pos": [[4, 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_placements_req_corrob
Tree: http://permpal.com/tree/25759/
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[18,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[18,x]*F[8,x]
F[8,x] = F[19,x]+F[9,x]
F[9,x] = F[10,x]*F[2,x]
F[10,x] = F[0,x]+F[11,x]
F[11,x] = F[12,x]
F[12,x] = F[13,x]*F[18,x]
F[13,x] = 1/F[18,x]*F[14,x]
F[14,x] = F[15,x]
F[15,x] = -F[0,x]+F[16,x]
F[16,x] = 1/F[18,x]*F[17,x]
F[17,x] = F[2,x]
F[18,x] = x
F[19,x] = F[20,x]
F[20,x] = F[18,x]*F[21,x]
F[21,x] = F[22,x]+F[362,x]
F[22,x] = F[23,x]+F[334,x]
F[23,x] = F[24,x]+F[25,x]
F[24,x] = F[0,x]*F[13,x]
F[25,x] = F[26,x]
F[26,x] = F[0,x]*F[10,x]*F[27,x]
F[27,x] = -F[316,x]+F[28,x]
F[28,x] = 1/F[36,x]*F[29,x]
F[29,x] = -F[312,x]+F[30,x]
F[30,x] = -F[306,x]+F[31,x]
F[31,x] = 1/F[18,x]*F[32,x]
F[32,x] = F[33,x]
F[33,x] = F[18,x]*F[34,x]
F[34,x] = F[238,x]+F[35,x]
F[35,x] = F[36,x]*F[68,x]
F[36,x] = F[1,x]+F[37,x]
F[37,x] = F[38,x]
F[38,x] = F[18,x]*F[39,x]
F[39,x] = F[36,x]+F[40,x]
F[40,x] = F[41,x]+F[49,x]
F[41,x] = F[42,x]
F[42,x] = F[18,x]*F[43,x]
F[43,x] = F[44,x]+F[45,x]
F[44,x] = F[1,x]+F[41,x]
F[45,x] = F[18,x]+F[46,x]
F[46,x] = F[47,x]
F[47,x] = F[18,x]*F[48,x]
F[48,x] = F[45,x]
F[49,x] = F[50,x]+F[51,x]+F[57,x]
F[50,x] = 0
F[51,x] = F[18,x]*F[52,x]
F[52,x] = F[53,x]+F[54,x]
F[53,x] = F[37,x]+F[49,x]
F[54,x] = F[55,x]+F[65,x]
F[55,x] = F[50,x]+F[56,x]+F[57,x]
F[56,x] = F[18,x]*F[37,x]
F[57,x] = F[18,x]*F[58,x]
F[58,x] = F[59,x]+F[60,x]
F[59,x] = F[18,x]+F[55,x]
F[60,x] = F[61,x]+F[63,x]
F[61,x] = F[62,x]
F[62,x] = F[18,x]*F[41,x]
F[63,x] = F[64,x]
F[64,x] = F[18,x]*F[49,x]
F[65,x] = F[66,x]
F[66,x] = F[18,x]*F[67,x]
F[67,x] = F[54,x]
F[68,x] = F[69,x]
F[69,x] = F[18,x]*F[70,x]
F[70,x] = F[232,x]+F[71,x]
F[71,x] = F[72,x]+F[83,x]
F[72,x] = F[0,x]*F[73,x]
F[73,x] = F[74,x]+F[75,x]
F[74,x] = F[1,x]+F[18,x]
F[75,x] = F[76,x]+F[79,x]
F[76,x] = F[77,x]
F[77,x] = F[18,x]*F[78,x]
F[78,x] = F[1,x]+F[76,x]
F[79,x] = F[50,x]+F[80,x]+F[82,x]
F[80,x] = F[18,x]*F[81,x]
F[81,x] = F[18,x]+F[79,x]
F[82,x] = F[18,x]*F[76,x]
F[83,x] = F[84,x]
F[84,x] = F[230,x]+F[85,x]
F[85,x] = F[228,x]+F[86,x]
F[86,x] = F[41,x]+F[87,x]
F[87,x] = F[88,x]
F[88,x] = F[18,x]*F[89,x]
F[89,x] = F[90,x]+F[91,x]
F[90,x] = F[78,x]^2*F[2,x]
F[91,x] = 1/F[36,x]*F[92,x]
F[92,x] = F[93,x]
F[93,x] = -F[96,x]+F[94,x]
F[94,x] = 1/F[18,x]*F[95,x]
F[95,x] = F[33,x]
F[96,x] = F[2,x]*F[97,x]
F[97,x] = F[177,x]+F[98,x]
F[98,x] = F[78,x]*F[99,x]
F[99,x] = F[100,x]+F[78,x]
F[100,x] = F[101,x]+F[37,x]
F[101,x] = F[102,x]+F[165,x]+F[50,x]
F[102,x] = F[103,x]*F[18,x]
F[103,x] = F[104,x]+F[105,x]
F[104,x] = F[101,x]+F[76,x]
F[105,x] = F[106,x]+F[120,x]
F[106,x] = F[107,x]+F[112,x]+F[50,x]
F[107,x] = F[108,x]*F[18,x]
F[108,x] = F[109,x]+F[116,x]
F[109,x] = F[110,x]+F[76,x]
F[110,x] = F[111,x]+F[112,x]+F[50,x]
F[111,x] = F[109,x]*F[18,x]
F[112,x] = F[113,x]*F[18,x]
F[113,x] = F[114,x]+F[18,x]
F[114,x] = F[115,x]
F[115,x] = F[18,x]*F[76,x]
F[116,x] = F[114,x]+F[117,x]
F[117,x] = 2*F[50,x]+F[118,x]+F[119,x]
F[118,x] = F[110,x]*F[18,x]
F[119,x] = F[116,x]*F[18,x]
F[120,x] = F[121,x]+F[126,x]+F[132,x]+F[50,x]
F[121,x] = F[122,x]*F[18,x]
F[122,x] = F[123,x]+F[159,x]
F[123,x] = F[101,x]+F[124,x]
F[124,x] = F[125,x]+F[126,x]+F[132,x]+F[50,x]
F[125,x] = F[123,x]*F[18,x]
F[126,x] = F[127,x]*F[18,x]
F[127,x] = F[128,x]+F[150,x]
F[128,x] = F[129,x]+F[130,x]
F[129,x] = F[112,x]+F[115,x]+F[50,x]
F[130,x] = F[126,x]+F[131,x]+F[132,x]+F[50,x]
F[131,x] = F[101,x]*F[18,x]
F[132,x] = F[133,x]*F[18,x]
F[133,x] = F[134,x]+F[140,x]
F[134,x] = F[115,x]+F[135,x]+F[50,x]
F[135,x] = F[136,x]*F[18,x]
F[136,x] = F[137,x]
F[137,x] = F[138,x]+F[18,x]
F[138,x] = F[115,x]+F[139,x]+F[50,x]
F[139,x] = F[137,x]*F[18,x]
F[140,x] = 2*F[50,x]+F[141,x]+F[145,x]
F[141,x] = F[142,x]*F[18,x]
F[142,x] = F[143,x]
F[143,x] = F[144,x]*F[18,x]
F[144,x] = F[142,x]+F[76,x]
F[145,x] = F[146,x]*F[18,x]
F[146,x] = F[147,x]
F[147,x] = F[114,x]+F[148,x]
F[148,x] = 2*F[50,x]+F[141,x]+F[149,x]
F[149,x] = F[147,x]*F[18,x]
F[150,x] = F[151,x]+F[155,x]
F[151,x] = F[118,x]+F[152,x]+F[154,x]+F[50,x]
F[152,x] = F[153,x]*F[18,x]
F[153,x] = F[116,x]
F[154,x] = 0
F[155,x] = F[156,x]+F[157,x]+F[163,x]+F[164,x]+F[50,x]
F[156,x] = F[124,x]*F[18,x]
F[157,x] = F[158,x]*F[18,x]
F[158,x] = F[159,x]
F[159,x] = F[160,x]+F[161,x]
F[160,x] = F[131,x]
F[161,x] = 3*F[50,x]+F[156,x]+F[162,x]
F[162,x] = F[159,x]*F[18,x]
F[163,x] = 0
F[164,x] = 0
F[165,x] = F[166,x]*F[18,x]
F[166,x] = F[167,x]+F[174,x]
F[167,x] = F[168,x]
F[168,x] = F[169,x]*F[18,x]
F[169,x] = F[170,x]+F[78,x]
F[170,x] = F[171,x]+F[76,x]
F[171,x] = F[172,x]
F[172,x] = F[173,x]*F[18,x]
F[173,x] = F[171,x]+F[76,x]
F[174,x] = F[175,x]
F[175,x] = F[176,x]*F[18,x]
F[176,x] = F[144,x]+F[147,x]
F[177,x] = F[167,x]+F[178,x]
F[178,x] = F[179,x]+F[225,x]+F[50,x]
F[179,x] = F[18,x]*F[180,x]
F[180,x] = F[177,x]+F[181,x]
F[181,x] = F[182,x]+F[199,x]
F[182,x] = F[183,x]+F[189,x]+F[50,x]
F[183,x] = F[18,x]*F[184,x]
F[184,x] = F[185,x]+F[186,x]
F[185,x] = F[167,x]+F[182,x]
F[186,x] = F[187,x]+F[196,x]
F[187,x] = F[188,x]+F[189,x]+F[50,x]
F[188,x] = F[167,x]*F[18,x]
F[189,x] = F[18,x]*F[190,x]
F[190,x] = F[191,x]+F[193,x]
F[191,x] = F[18,x]+F[192,x]
F[192,x] = F[115,x]
F[193,x] = F[192,x]+F[194,x]
F[194,x] = F[195,x]
F[195,x] = F[171,x]*F[18,x]
F[196,x] = F[197,x]
F[197,x] = F[18,x]*F[198,x]
F[198,x] = F[186,x]
F[199,x] = F[200,x]+F[206,x]+F[214,x]+F[50,x]
F[200,x] = F[18,x]*F[201,x]
F[201,x] = F[202,x]+F[203,x]
F[202,x] = F[178,x]+F[199,x]
F[203,x] = F[204,x]+F[222,x]
F[204,x] = F[205,x]+F[206,x]+F[214,x]+F[50,x]
F[205,x] = F[178,x]*F[18,x]
F[206,x] = F[18,x]*F[207,x]
F[207,x] = F[208,x]+F[209,x]
F[208,x] = F[187,x]+F[204,x]
F[209,x] = F[210,x]+F[212,x]
F[210,x] = F[211,x]
F[211,x] = F[18,x]*F[182,x]
F[212,x] = F[213,x]
F[213,x] = F[18,x]*F[199,x]
F[214,x] = F[18,x]*F[215,x]
F[215,x] = F[193,x]+F[216,x]
F[216,x] = F[194,x]+F[217,x]
F[217,x] = F[218,x]
F[218,x] = F[18,x]*F[219,x]
F[219,x] = F[220,x]
F[220,x] = F[18,x]*F[221,x]
F[221,x] = F[171,x]+F[219,x]
F[222,x] = F[223,x]
F[223,x] = F[18,x]*F[224,x]
F[224,x] = F[203,x]
F[225,x] = F[18,x]*F[226,x]
F[226,x] = F[170,x]+F[227,x]
F[227,x] = F[171,x]+F[219,x]
F[228,x] = F[229,x]
F[229,x] = F[0,x]*F[18,x]*F[76,x]
F[230,x] = F[231,x]
F[231,x] = F[18,x]^2*F[0,x]
F[232,x] = F[233,x]
F[233,x] = F[18,x]*F[234,x]
F[234,x] = F[235,x]+F[70,x]
F[235,x] = F[236,x]
F[236,x] = F[0,x]*F[18,x]*F[237,x]*F[78,x]
F[237,x] = F[44,x]+F[76,x]
F[238,x] = F[239,x]*F[304,x]
F[239,x] = F[240,x]+F[41,x]
F[240,x] = F[241,x]+F[298,x]+F[50,x]
F[241,x] = F[18,x]*F[242,x]
F[242,x] = F[239,x]+F[243,x]
F[243,x] = F[244,x]+F[258,x]
F[244,x] = F[245,x]+F[250,x]+F[50,x]
F[245,x] = F[18,x]*F[246,x]
F[246,x] = F[247,x]+F[254,x]
F[247,x] = F[248,x]+F[41,x]
F[248,x] = F[249,x]+F[250,x]+F[50,x]
F[249,x] = F[18,x]*F[247,x]
F[250,x] = F[18,x]*F[251,x]
F[251,x] = F[252,x]
F[252,x] = F[18,x]+F[253,x]
F[253,x] = F[62,x]
F[254,x] = F[253,x]+F[255,x]
F[255,x] = 2*F[50,x]+F[256,x]+F[257,x]
F[256,x] = F[18,x]*F[248,x]
F[257,x] = F[18,x]*F[254,x]
F[258,x] = F[259,x]+F[264,x]+F[270,x]+F[50,x]
F[259,x] = F[18,x]*F[260,x]
F[260,x] = F[261,x]+F[292,x]
F[261,x] = F[240,x]+F[262,x]
F[262,x] = F[263,x]+F[264,x]+F[270,x]+F[50,x]
F[263,x] = F[18,x]*F[261,x]
F[264,x] = F[18,x]*F[265,x]
F[265,x] = F[266,x]+F[283,x]
F[266,x] = F[267,x]+F[268,x]
F[267,x] = F[250,x]+F[50,x]+F[62,x]
F[268,x] = F[264,x]+F[269,x]+F[270,x]+F[50,x]
F[269,x] = F[18,x]*F[240,x]
F[270,x] = F[18,x]*F[271,x]
F[271,x] = F[272,x]
F[272,x] = F[134,x]+F[273,x]
F[273,x] = 2*F[50,x]+F[274,x]+F[278,x]
F[274,x] = F[18,x]*F[275,x]
F[275,x] = F[276,x]
F[276,x] = F[18,x]*F[277,x]
F[277,x] = F[275,x]+F[41,x]
F[278,x] = F[18,x]*F[279,x]
F[279,x] = F[280,x]
F[280,x] = F[253,x]+F[281,x]
F[281,x] = 2*F[50,x]+F[274,x]+F[282,x]
F[282,x] = F[18,x]*F[280,x]
F[283,x] = F[284,x]+F[288,x]
F[284,x] = F[256,x]+F[285,x]+F[287,x]+F[50,x]
F[285,x] = F[18,x]*F[286,x]
F[286,x] = F[254,x]
F[287,x] = 0
F[288,x] = F[289,x]+F[290,x]+F[296,x]+F[297,x]+F[50,x]
F[289,x] = F[18,x]*F[262,x]
F[290,x] = F[18,x]*F[291,x]
F[291,x] = F[292,x]
F[292,x] = F[293,x]+F[294,x]
F[293,x] = F[269,x]
F[294,x] = 3*F[50,x]+F[289,x]+F[295,x]
F[295,x] = F[18,x]*F[292,x]
F[296,x] = 0
F[297,x] = 0
F[298,x] = F[18,x]*F[299,x]
F[299,x] = F[300,x]
F[300,x] = F[167,x]+F[301,x]
F[301,x] = F[302,x]
F[302,x] = F[18,x]*F[303,x]
F[303,x] = F[277,x]+F[280,x]
F[304,x] = 1/F[18,x]*F[305,x]
F[305,x] = F[2,x]
F[306,x] = F[18,x]*F[307,x]*F[36,x]
F[307,x] = F[308,x]+F[309,x]
F[308,x] = F[2,x]*F[78,x]
F[309,x] = F[310,x]
F[310,x] = F[0,x]*F[18,x]*F[311,x]*F[78,x]
F[311,x] = F[74,x]+F[76,x]
F[312,x] = F[2,x]*F[313,x]*F[44,x]
F[313,x] = F[314,x]+F[315,x]
F[314,x] = F[1,x]+F[167,x]
F[315,x] = F[178,x]+F[37,x]
F[316,x] = -F[325,x]+F[317,x]
F[317,x] = 1/F[36,x]*F[318,x]
F[318,x] = -F[321,x]+F[319,x]
F[319,x] = 1/F[18,x]*F[320,x]
F[320,x] = F[33,x]
F[321,x] = F[2,x]*F[322,x]
F[322,x] = F[323,x]+F[324,x]
F[323,x] = F[237,x]*F[36,x]
F[324,x] = F[177,x]*F[44,x]
F[325,x] = -F[326,x]+F[91,x]
F[326,x] = F[327,x]*F[76,x]
F[327,x] = -F[332,x]+F[328,x]
F[328,x] = F[329,x]
F[329,x] = F[0,x]*F[18,x]*F[330,x]
F[330,x] = F[331,x]+F[81,x]
F[331,x] = F[78,x]^3
F[332,x] = F[333,x]
F[333,x] = F[76,x]^2*F[0,x]*F[78,x]
F[334,x] = F[335,x]
F[335,x] = F[18,x]*F[336,x]
F[336,x] = F[337,x]+F[356,x]
F[337,x] = F[0,x]*F[338,x]
F[338,x] = F[339,x]+F[343,x]
F[339,x] = F[10,x]*F[340,x]
F[340,x] = F[0,x]+F[341,x]
F[341,x] = F[342,x]
F[342,x] = F[0,x]*F[18,x]*F[340,x]
F[343,x] = F[344,x]
F[344,x] = F[18,x]*F[345,x]
F[345,x] = F[346,x]+F[347,x]
F[346,x] = F[10,x]*F[16,x]*F[340,x]
F[347,x] = F[348,x]*F[78,x]
F[348,x] = F[349,x]
F[349,x] = F[18,x]*F[350,x]
F[350,x] = F[351,x]+F[352,x]
F[351,x] = F[16,x]*F[340,x]
F[352,x] = F[353,x]
F[353,x] = F[18,x]*F[354,x]
F[354,x] = F[347,x]+F[355,x]
F[355,x] = F[16,x]^2*F[340,x]
F[356,x] = F[357,x]
F[357,x] = F[0,x]*F[10,x]*F[358,x]
F[358,x] = F[359,x]
F[359,x] = F[0,x]*F[18,x]*F[360,x]*F[78,x]
F[360,x] = F[340,x]+F[361,x]
F[361,x] = F[0,x]*F[18,x]
F[362,x] = F[363,x]+F[508,x]
F[363,x] = F[364,x]+F[368,x]
F[364,x] = F[0,x]*F[365,x]
F[365,x] = F[366,x]
F[366,x] = F[0,x]*F[18,x]*F[367,x]
F[367,x] = F[13,x]+F[365,x]
F[368,x] = F[369,x]
F[369,x] = F[0,x]*F[370,x]*F[383,x]
F[370,x] = -F[10,x]+F[371,x]
F[371,x] = 1/F[76,x]*F[372,x]
F[372,x] = -F[380,x]+F[373,x]
F[373,x] = F[374,x]+F[375,x]
F[374,x] = F[10,x]*F[78,x]
F[375,x] = F[376,x]
F[376,x] = F[18,x]*F[377,x]
F[377,x] = F[367,x]+F[378,x]
F[378,x] = F[379,x]
F[379,x] = F[0,x]*F[371,x]*F[76,x]
F[380,x] = F[10,x]+F[381,x]
F[381,x] = F[382,x]
F[382,x] = F[18,x]*F[367,x]
F[383,x] = 1/F[76,x]*F[384,x]
F[384,x] = -F[27,x]+F[385,x]
F[385,x] = 1/F[36,x]*F[386,x]
F[386,x] = F[387,x]
F[387,x] = -F[506,x]+F[388,x]
F[388,x] = -F[391,x]+F[389,x]
F[389,x] = 1/F[18,x]*F[390,x]
F[390,x] = F[33,x]
F[391,x] = F[392,x]+F[499,x]
F[392,x] = F[2,x]*F[393,x]
F[393,x] = F[394,x]+F[81,x]
F[394,x] = F[395,x]+F[436,x]
F[395,x] = F[396,x]
F[396,x] = F[18,x]*F[397,x]
F[397,x] = F[398,x]+F[399,x]
F[398,x] = F[18,x]+F[395,x]
F[399,x] = F[400,x]+F[412,x]
F[400,x] = F[401,x]
F[401,x] = F[18,x]*F[402,x]
F[402,x] = F[403,x]+F[406,x]
F[403,x] = F[18,x]+F[404,x]
F[404,x] = F[405,x]
F[405,x] = F[18,x]*F[403,x]
F[406,x] = F[407,x]+F[409,x]
F[407,x] = F[408,x]
F[408,x] = x^2
F[409,x] = 2*F[50,x]+F[410,x]+F[411,x]
F[410,x] = F[18,x]*F[404,x]
F[411,x] = F[18,x]*F[406,x]
F[412,x] = 2*F[50,x]+F[413,x]+F[418,x]
F[413,x] = F[18,x]*F[414,x]
F[414,x] = F[415,x]+F[431,x]
F[415,x] = F[395,x]+F[416,x]
F[416,x] = 2*F[50,x]+F[417,x]+F[418,x]
F[417,x] = F[18,x]*F[415,x]
F[418,x] = F[18,x]*F[419,x]
F[419,x] = F[420,x]+F[423,x]
F[420,x] = F[407,x]+F[421,x]
F[421,x] = 2*F[50,x]+F[418,x]+F[422,x]
F[422,x] = F[18,x]*F[395,x]
F[423,x] = F[424,x]+F[427,x]
F[424,x] = 2*F[50,x]+F[410,x]+F[425,x]
F[425,x] = F[18,x]*F[426,x]
F[426,x] = F[406,x]
F[427,x] = 2*F[50,x]+F[428,x]+F[429,x]+F[435,x]
F[428,x] = F[18,x]*F[416,x]
F[429,x] = F[18,x]*F[430,x]
F[430,x] = F[431,x]
F[431,x] = F[432,x]+F[433,x]
F[432,x] = F[422,x]
F[433,x] = 3*F[50,x]+F[428,x]+F[434,x]
F[434,x] = F[18,x]*F[431,x]
F[435,x] = 0
F[436,x] = 2*F[50,x]+F[437,x]+F[494,x]
F[437,x] = F[18,x]*F[438,x]
F[438,x] = F[439,x]+F[440,x]
F[439,x] = F[436,x]+F[79,x]
F[440,x] = F[441,x]+F[455,x]
F[441,x] = 2*F[50,x]+F[442,x]+F[447,x]
F[442,x] = F[18,x]*F[443,x]
F[443,x] = F[444,x]+F[451,x]
F[444,x] = F[445,x]+F[79,x]
F[445,x] = 2*F[50,x]+F[446,x]+F[447,x]
F[446,x] = F[18,x]*F[444,x]
F[447,x] = F[18,x]*F[448,x]
F[448,x] = F[407,x]+F[449,x]
F[449,x] = F[450,x]
F[450,x] = F[18,x]*F[79,x]
F[451,x] = F[449,x]+F[452,x]
F[452,x] = 3*F[50,x]+F[453,x]+F[454,x]
F[453,x] = F[18,x]*F[445,x]
F[454,x] = F[18,x]*F[451,x]
F[455,x] = 2*F[50,x]+F[456,x]+F[461,x]+F[467,x]
F[456,x] = F[18,x]*F[457,x]
F[457,x] = F[458,x]+F[488,x]
F[458,x] = F[436,x]+F[459,x]
F[459,x] = 2*F[50,x]+F[460,x]+F[461,x]+F[467,x]
F[460,x] = F[18,x]*F[458,x]
F[461,x] = F[18,x]*F[462,x]
F[462,x] = F[463,x]+F[479,x]
F[463,x] = F[464,x]+F[465,x]
F[464,x] = 2*F[50,x]+F[447,x]+F[450,x]
F[465,x] = 2*F[50,x]+F[461,x]+F[466,x]+F[467,x]
F[466,x] = F[18,x]*F[436,x]
F[467,x] = F[18,x]*F[468,x]
F[468,x] = F[424,x]+F[469,x]
F[469,x] = 3*F[50,x]+F[470,x]+F[474,x]
F[470,x] = F[18,x]*F[471,x]
F[471,x] = F[472,x]
F[472,x] = F[18,x]*F[473,x]
F[473,x] = F[471,x]+F[79,x]
F[474,x] = F[18,x]*F[475,x]
F[475,x] = F[476,x]
F[476,x] = F[449,x]+F[477,x]
F[477,x] = 3*F[50,x]+F[470,x]+F[478,x]
F[478,x] = F[18,x]*F[476,x]
F[479,x] = F[480,x]+F[484,x]
F[480,x] = 2*F[50,x]+F[453,x]+F[481,x]+F[483,x]
F[481,x] = F[18,x]*F[482,x]
F[482,x] = F[451,x]
F[483,x] = 0
F[484,x] = 2*F[50,x]+F[485,x]+F[486,x]+F[492,x]+F[493,x]
F[485,x] = F[18,x]*F[459,x]
F[486,x] = F[18,x]*F[487,x]
F[487,x] = F[488,x]
F[488,x] = F[489,x]+F[490,x]
F[489,x] = F[466,x]
F[490,x] = 4*F[50,x]+F[485,x]+F[491,x]
F[491,x] = F[18,x]*F[488,x]
F[492,x] = 0
F[493,x] = 0
F[494,x] = F[18,x]*F[495,x]
F[495,x] = F[400,x]+F[496,x]
F[496,x] = F[497,x]
F[497,x] = F[18,x]*F[498,x]
F[498,x] = F[473,x]+F[476,x]
F[499,x] = F[500,x]
F[500,x] = F[36,x]*F[501,x]
F[501,x] = F[502,x]
F[502,x] = F[0,x]*F[18,x]*F[503,x]*F[78,x]
F[503,x] = F[504,x]+F[81,x]
F[504,x] = F[505,x]
F[505,x] = x^2
F[506,x] = F[2,x]*F[507,x]
F[507,x] = F[177,x]+F[99,x]
F[508,x] = F[509,x]
F[509,x] = F[0,x]*F[510,x]
F[510,x] = -F[518,x]+F[511,x]
F[511,x] = 1/F[18,x]*F[512,x]
F[512,x] = F[513,x]
F[513,x] = F[18,x]*F[341,x]*F[514,x]
F[514,x] = F[515,x]+F[516,x]
F[515,x] = F[2,x]*F[78,x]
F[516,x] = F[517,x]
F[517,x] = F[18,x]*F[377,x]
F[518,x] = F[519,x]
F[519,x] = F[10,x]*F[341,x]*F[76,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_{18}\! \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_{18}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{19}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right) F_{2}\! \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_{18}\! \left(x \right)
F_{13}\! \left(x \right) = \frac{F_{14}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{14}\! \left(x \right) = F_{15}\! \left(x \right)
F_{15}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = \frac{F_{17}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{17}\! \left(x \right) = F_{2}\! \left(x \right)
F_{18}\! \left(x \right) = x
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{18}\! \left(x \right) F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)+F_{362}\! \left(x \right)
F_{22}\! \left(x \right) = F_{23}\! \left(x \right)+F_{334}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)+F_{25}\! \left(x \right)
F_{24}\! \left(x \right) = F_{0}\! \left(x \right) F_{13}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{0}\! \left(x \right) F_{10}\! \left(x \right) F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = -F_{316}\! \left(x \right)+F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = \frac{F_{29}\! \left(x \right)}{F_{36}\! \left(x \right)}
F_{29}\! \left(x \right) = -F_{312}\! \left(x \right)+F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = -F_{306}\! \left(x \right)+F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = \frac{F_{32}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{18}\! \left(x \right) F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = F_{238}\! \left(x \right)+F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{36}\! \left(x \right) F_{68}\! \left(x \right)
F_{36}\! \left(x \right) = F_{1}\! \left(x \right)+F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{18}\! \left(x \right) F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{36}\! \left(x \right)+F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)+F_{49}\! \left(x \right)
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{18}\! \left(x \right) F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{44}\! \left(x \right)+F_{45}\! \left(x \right)
F_{44}\! \left(x \right) = F_{1}\! \left(x \right)+F_{41}\! \left(x \right)
F_{45}\! \left(x \right) = F_{18}\! \left(x \right)+F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{18}\! \left(x \right) F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{45}\! \left(x \right)
F_{49}\! \left(x \right) = F_{50}\! \left(x \right)+F_{51}\! \left(x \right)+F_{57}\! \left(x \right)
F_{50}\! \left(x \right) = 0
F_{51}\! \left(x \right) = F_{18}\! \left(x \right) F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{53}\! \left(x \right)+F_{54}\! \left(x \right)
F_{53}\! \left(x \right) = F_{37}\! \left(x \right)+F_{49}\! \left(x \right)
F_{54}\! \left(x \right) = F_{55}\! \left(x \right)+F_{65}\! \left(x \right)
F_{55}\! \left(x \right) = F_{50}\! \left(x \right)+F_{56}\! \left(x \right)+F_{57}\! \left(x \right)
F_{56}\! \left(x \right) = F_{18}\! \left(x \right) F_{37}\! \left(x \right)
F_{57}\! \left(x \right) = F_{18}\! \left(x \right) F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{59}\! \left(x \right)+F_{60}\! \left(x \right)
F_{59}\! \left(x \right) = F_{18}\! \left(x \right)+F_{55}\! \left(x \right)
F_{60}\! \left(x \right) = F_{61}\! \left(x \right)+F_{63}\! \left(x \right)
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{18}\! \left(x \right) F_{41}\! \left(x \right)
F_{63}\! \left(x \right) = F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{18}\! \left(x \right) F_{49}\! \left(x \right)
F_{65}\! \left(x \right) = F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{18}\! \left(x \right) F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{54}\! \left(x \right)
F_{68}\! \left(x \right) = F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{18}\! \left(x \right) F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{232}\! \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_{0}\! \left(x \right) F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{74}\! \left(x \right)+F_{75}\! \left(x \right)
F_{74}\! \left(x \right) = F_{1}\! \left(x \right)+F_{18}\! \left(x \right)
F_{75}\! \left(x \right) = F_{76}\! \left(x \right)+F_{79}\! \left(x \right)
F_{76}\! \left(x \right) = F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{18}\! \left(x \right) F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{1}\! \left(x \right)+F_{76}\! \left(x \right)
F_{79}\! \left(x \right) = F_{50}\! \left(x \right)+F_{80}\! \left(x \right)+F_{82}\! \left(x \right)
F_{80}\! \left(x \right) = F_{18}\! \left(x \right) F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{18}\! \left(x \right)+F_{79}\! \left(x \right)
F_{82}\! \left(x \right) = F_{18}\! \left(x \right) F_{76}\! \left(x \right)
F_{83}\! \left(x \right) = F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{230}\! \left(x \right)+F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{228}\! \left(x \right)+F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{41}\! \left(x \right)+F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{18}\! \left(x \right) F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{90}\! \left(x \right)+F_{91}\! \left(x \right)
F_{90}\! \left(x \right) = F_{78} \left(x \right)^{2} F_{2}\! \left(x \right)
F_{91}\! \left(x \right) = \frac{F_{92}\! \left(x \right)}{F_{36}\! \left(x \right)}
F_{92}\! \left(x \right) = F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = -F_{96}\! \left(x \right)+F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = \frac{F_{95}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{95}\! \left(x \right) = F_{33}\! \left(x \right)
F_{96}\! \left(x \right) = F_{2}\! \left(x \right) F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{177}\! \left(x \right)+F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{78}\! \left(x \right) F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right)+F_{78}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)+F_{37}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right)+F_{165}\! \left(x \right)+F_{50}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right) F_{18}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right)+F_{105}\! \left(x \right)
F_{104}\! \left(x \right) = F_{101}\! \left(x \right)+F_{76}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x \right)+F_{120}\! \left(x \right)
F_{106}\! \left(x \right) = F_{107}\! \left(x \right)+F_{112}\! \left(x \right)+F_{50}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right) F_{18}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)+F_{116}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right)+F_{76}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right)+F_{112}\! \left(x \right)+F_{50}\! \left(x \right)
F_{111}\! \left(x \right) = F_{109}\! \left(x \right) F_{18}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right) F_{18}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right)+F_{18}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right)
F_{115}\! \left(x \right) = F_{18}\! \left(x \right) F_{76}\! \left(x \right)
F_{116}\! \left(x \right) = F_{114}\! \left(x \right)+F_{117}\! \left(x \right)
F_{117}\! \left(x \right) = 2 F_{50}\! \left(x \right)+F_{118}\! \left(x \right)+F_{119}\! \left(x \right)
F_{118}\! \left(x \right) = F_{110}\! \left(x \right) F_{18}\! \left(x \right)
F_{119}\! \left(x \right) = F_{116}\! \left(x \right) F_{18}\! \left(x \right)
F_{120}\! \left(x \right) = F_{121}\! \left(x \right)+F_{126}\! \left(x \right)+F_{132}\! \left(x \right)+F_{50}\! \left(x \right)
F_{121}\! \left(x \right) = F_{122}\! \left(x \right) F_{18}\! \left(x \right)
F_{122}\! \left(x \right) = F_{123}\! \left(x \right)+F_{159}\! \left(x \right)
F_{123}\! \left(x \right) = F_{101}\! \left(x \right)+F_{124}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)+F_{126}\! \left(x \right)+F_{132}\! \left(x \right)+F_{50}\! \left(x \right)
F_{125}\! \left(x \right) = F_{123}\! \left(x \right) F_{18}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right) F_{18}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right)+F_{150}\! \left(x \right)
F_{128}\! \left(x \right) = F_{129}\! \left(x \right)+F_{130}\! \left(x \right)
F_{129}\! \left(x \right) = F_{112}\! \left(x \right)+F_{115}\! \left(x \right)+F_{50}\! \left(x \right)
F_{130}\! \left(x \right) = F_{126}\! \left(x \right)+F_{131}\! \left(x \right)+F_{132}\! \left(x \right)+F_{50}\! \left(x \right)
F_{131}\! \left(x \right) = F_{101}\! \left(x \right) F_{18}\! \left(x \right)
F_{132}\! \left(x \right) = F_{133}\! \left(x \right) F_{18}\! \left(x \right)
F_{133}\! \left(x \right) = F_{134}\! \left(x \right)+F_{140}\! \left(x \right)
F_{134}\! \left(x \right) = F_{115}\! \left(x \right)+F_{135}\! \left(x \right)+F_{50}\! \left(x \right)
F_{135}\! \left(x \right) = F_{136}\! \left(x \right) F_{18}\! \left(x \right)
F_{136}\! \left(x \right) = F_{137}\! \left(x \right)
F_{137}\! \left(x \right) = F_{138}\! \left(x \right)+F_{18}\! \left(x \right)
F_{138}\! \left(x \right) = F_{115}\! \left(x \right)+F_{139}\! \left(x \right)+F_{50}\! \left(x \right)
F_{139}\! \left(x \right) = F_{137}\! \left(x \right) F_{18}\! \left(x \right)
F_{140}\! \left(x \right) = 2 F_{50}\! \left(x \right)+F_{141}\! \left(x \right)+F_{145}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right) F_{18}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right) F_{18}\! \left(x \right)
F_{144}\! \left(x \right) = F_{142}\! \left(x \right)+F_{76}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right) F_{18}\! \left(x \right)
F_{146}\! \left(x \right) = F_{147}\! \left(x \right)
F_{147}\! \left(x \right) = F_{114}\! \left(x \right)+F_{148}\! \left(x \right)
F_{148}\! \left(x \right) = 2 F_{50}\! \left(x \right)+F_{141}\! \left(x \right)+F_{149}\! \left(x \right)
F_{149}\! \left(x \right) = F_{147}\! \left(x \right) F_{18}\! \left(x \right)
F_{150}\! \left(x \right) = F_{151}\! \left(x \right)+F_{155}\! \left(x \right)
F_{151}\! \left(x \right) = F_{118}\! \left(x \right)+F_{152}\! \left(x \right)+F_{154}\! \left(x \right)+F_{50}\! \left(x \right)
F_{152}\! \left(x \right) = F_{153}\! \left(x \right) F_{18}\! \left(x \right)
F_{153}\! \left(x \right) = F_{116}\! \left(x \right)
F_{154}\! \left(x \right) = 0
F_{155}\! \left(x \right) = F_{156}\! \left(x \right)+F_{157}\! \left(x \right)+F_{163}\! \left(x \right)+F_{164}\! \left(x \right)+F_{50}\! \left(x \right)
F_{156}\! \left(x \right) = F_{124}\! \left(x \right) F_{18}\! \left(x \right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right) F_{18}\! \left(x \right)
F_{158}\! \left(x \right) = F_{159}\! \left(x \right)
F_{159}\! \left(x \right) = F_{160}\! \left(x \right)+F_{161}\! \left(x \right)
F_{160}\! \left(x \right) = F_{131}\! \left(x \right)
F_{161}\! \left(x \right) = 3 F_{50}\! \left(x \right)+F_{156}\! \left(x \right)+F_{162}\! \left(x \right)
F_{162}\! \left(x \right) = F_{159}\! \left(x \right) F_{18}\! \left(x \right)
F_{163}\! \left(x \right) = 0
F_{164}\! \left(x \right) = 0
F_{165}\! \left(x \right) = F_{166}\! \left(x \right) F_{18}\! \left(x \right)
F_{166}\! \left(x \right) = F_{167}\! \left(x \right)+F_{174}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right)
F_{168}\! \left(x \right) = F_{169}\! \left(x \right) F_{18}\! \left(x \right)
F_{169}\! \left(x \right) = F_{170}\! \left(x \right)+F_{78}\! \left(x \right)
F_{170}\! \left(x \right) = F_{171}\! \left(x \right)+F_{76}\! \left(x \right)
F_{171}\! \left(x \right) = F_{172}\! \left(x \right)
F_{172}\! \left(x \right) = F_{173}\! \left(x \right) F_{18}\! \left(x \right)
F_{173}\! \left(x \right) = F_{171}\! \left(x \right)+F_{76}\! \left(x \right)
F_{174}\! \left(x \right) = F_{175}\! \left(x \right)
F_{175}\! \left(x \right) = F_{176}\! \left(x \right) F_{18}\! \left(x \right)
F_{176}\! \left(x \right) = F_{144}\! \left(x \right)+F_{147}\! \left(x \right)
F_{177}\! \left(x \right) = F_{167}\! \left(x \right)+F_{178}\! \left(x \right)
F_{178}\! \left(x \right) = F_{179}\! \left(x \right)+F_{225}\! \left(x \right)+F_{50}\! \left(x \right)
F_{179}\! \left(x \right) = F_{18}\! \left(x \right) F_{180}\! \left(x \right)
F_{180}\! \left(x \right) = F_{177}\! \left(x \right)+F_{181}\! \left(x \right)
F_{181}\! \left(x \right) = F_{182}\! \left(x \right)+F_{199}\! \left(x \right)
F_{182}\! \left(x \right) = F_{183}\! \left(x \right)+F_{189}\! \left(x \right)+F_{50}\! \left(x \right)
F_{183}\! \left(x \right) = F_{18}\! \left(x \right) F_{184}\! \left(x \right)
F_{184}\! \left(x \right) = F_{185}\! \left(x \right)+F_{186}\! \left(x \right)
F_{185}\! \left(x \right) = F_{167}\! \left(x \right)+F_{182}\! \left(x \right)
F_{186}\! \left(x \right) = F_{187}\! \left(x \right)+F_{196}\! \left(x \right)
F_{187}\! \left(x \right) = F_{188}\! \left(x \right)+F_{189}\! \left(x \right)+F_{50}\! \left(x \right)
F_{188}\! \left(x \right) = F_{167}\! \left(x \right) F_{18}\! \left(x \right)
F_{189}\! \left(x \right) = F_{18}\! \left(x \right) F_{190}\! \left(x \right)
F_{190}\! \left(x \right) = F_{191}\! \left(x \right)+F_{193}\! \left(x \right)
F_{191}\! \left(x \right) = F_{18}\! \left(x \right)+F_{192}\! \left(x \right)
F_{192}\! \left(x \right) = F_{115}\! \left(x \right)
F_{193}\! \left(x \right) = F_{192}\! \left(x \right)+F_{194}\! \left(x \right)
F_{194}\! \left(x \right) = F_{195}\! \left(x \right)
F_{195}\! \left(x \right) = F_{171}\! \left(x \right) F_{18}\! \left(x \right)
F_{196}\! \left(x \right) = F_{197}\! \left(x \right)
F_{197}\! \left(x \right) = F_{18}\! \left(x \right) F_{198}\! \left(x \right)
F_{198}\! \left(x \right) = F_{186}\! \left(x \right)
F_{199}\! \left(x \right) = F_{200}\! \left(x \right)+F_{206}\! \left(x \right)+F_{214}\! \left(x \right)+F_{50}\! \left(x \right)
F_{200}\! \left(x \right) = F_{18}\! \left(x \right) F_{201}\! \left(x \right)
F_{201}\! \left(x \right) = F_{202}\! \left(x \right)+F_{203}\! \left(x \right)
F_{202}\! \left(x \right) = F_{178}\! \left(x \right)+F_{199}\! \left(x \right)
F_{203}\! \left(x \right) = F_{204}\! \left(x \right)+F_{222}\! \left(x \right)
F_{204}\! \left(x \right) = F_{205}\! \left(x \right)+F_{206}\! \left(x \right)+F_{214}\! \left(x \right)+F_{50}\! \left(x \right)
F_{205}\! \left(x \right) = F_{178}\! \left(x \right) F_{18}\! \left(x \right)
F_{206}\! \left(x \right) = F_{18}\! \left(x \right) F_{207}\! \left(x \right)
F_{207}\! \left(x \right) = F_{208}\! \left(x \right)+F_{209}\! \left(x \right)
F_{208}\! \left(x \right) = F_{187}\! \left(x \right)+F_{204}\! \left(x \right)
F_{209}\! \left(x \right) = F_{210}\! \left(x \right)+F_{212}\! \left(x \right)
F_{210}\! \left(x \right) = F_{211}\! \left(x \right)
F_{211}\! \left(x \right) = F_{18}\! \left(x \right) F_{182}\! \left(x \right)
F_{212}\! \left(x \right) = F_{213}\! \left(x \right)
F_{213}\! \left(x \right) = F_{18}\! \left(x \right) F_{199}\! \left(x \right)
F_{214}\! \left(x \right) = F_{18}\! \left(x \right) F_{215}\! \left(x \right)
F_{215}\! \left(x \right) = F_{193}\! \left(x \right)+F_{216}\! \left(x \right)
F_{216}\! \left(x \right) = F_{194}\! \left(x \right)+F_{217}\! \left(x \right)
F_{217}\! \left(x \right) = F_{218}\! \left(x \right)
F_{218}\! \left(x \right) = F_{18}\! \left(x \right) F_{219}\! \left(x \right)
F_{219}\! \left(x \right) = F_{220}\! \left(x \right)
F_{220}\! \left(x \right) = F_{18}\! \left(x \right) F_{221}\! \left(x \right)
F_{221}\! \left(x \right) = F_{171}\! \left(x \right)+F_{219}\! \left(x \right)
F_{222}\! \left(x \right) = F_{223}\! \left(x \right)
F_{223}\! \left(x \right) = F_{18}\! \left(x \right) F_{224}\! \left(x \right)
F_{224}\! \left(x \right) = F_{203}\! \left(x \right)
F_{225}\! \left(x \right) = F_{18}\! \left(x \right) F_{226}\! \left(x \right)
F_{226}\! \left(x \right) = F_{170}\! \left(x \right)+F_{227}\! \left(x \right)
F_{227}\! \left(x \right) = F_{171}\! \left(x \right)+F_{219}\! \left(x \right)
F_{228}\! \left(x \right) = F_{229}\! \left(x \right)
F_{229}\! \left(x \right) = F_{0}\! \left(x \right) F_{18}\! \left(x \right) F_{76}\! \left(x \right)
F_{230}\! \left(x \right) = F_{231}\! \left(x \right)
F_{231}\! \left(x \right) = F_{18} \left(x \right)^{2} F_{0}\! \left(x \right)
F_{232}\! \left(x \right) = F_{233}\! \left(x \right)
F_{233}\! \left(x \right) = F_{18}\! \left(x \right) F_{234}\! \left(x \right)
F_{234}\! \left(x \right) = F_{235}\! \left(x \right)+F_{70}\! \left(x \right)
F_{235}\! \left(x \right) = F_{236}\! \left(x \right)
F_{236}\! \left(x \right) = F_{0}\! \left(x \right) F_{18}\! \left(x \right) F_{237}\! \left(x \right) F_{78}\! \left(x \right)
F_{237}\! \left(x \right) = F_{44}\! \left(x \right)+F_{76}\! \left(x \right)
F_{238}\! \left(x \right) = F_{239}\! \left(x \right) F_{304}\! \left(x \right)
F_{239}\! \left(x \right) = F_{240}\! \left(x \right)+F_{41}\! \left(x \right)
F_{240}\! \left(x \right) = F_{241}\! \left(x \right)+F_{298}\! \left(x \right)+F_{50}\! \left(x \right)
F_{241}\! \left(x \right) = F_{18}\! \left(x \right) F_{242}\! \left(x \right)
F_{242}\! \left(x \right) = F_{239}\! \left(x \right)+F_{243}\! \left(x \right)
F_{243}\! \left(x \right) = F_{244}\! \left(x \right)+F_{258}\! \left(x \right)
F_{244}\! \left(x \right) = F_{245}\! \left(x \right)+F_{250}\! \left(x \right)+F_{50}\! \left(x \right)
F_{245}\! \left(x \right) = F_{18}\! \left(x \right) F_{246}\! \left(x \right)
F_{246}\! \left(x \right) = F_{247}\! \left(x \right)+F_{254}\! \left(x \right)
F_{247}\! \left(x \right) = F_{248}\! \left(x \right)+F_{41}\! \left(x \right)
F_{248}\! \left(x \right) = F_{249}\! \left(x \right)+F_{250}\! \left(x \right)+F_{50}\! \left(x \right)
F_{249}\! \left(x \right) = F_{18}\! \left(x \right) F_{247}\! \left(x \right)
F_{250}\! \left(x \right) = F_{18}\! \left(x \right) F_{251}\! \left(x \right)
F_{251}\! \left(x \right) = F_{252}\! \left(x \right)
F_{252}\! \left(x \right) = F_{18}\! \left(x \right)+F_{253}\! \left(x \right)
F_{253}\! \left(x \right) = F_{62}\! \left(x \right)
F_{254}\! \left(x \right) = F_{253}\! \left(x \right)+F_{255}\! \left(x \right)
F_{255}\! \left(x \right) = 2 F_{50}\! \left(x \right)+F_{256}\! \left(x \right)+F_{257}\! \left(x \right)
F_{256}\! \left(x \right) = F_{18}\! \left(x \right) F_{248}\! \left(x \right)
F_{257}\! \left(x \right) = F_{18}\! \left(x \right) F_{254}\! \left(x \right)
F_{258}\! \left(x \right) = F_{259}\! \left(x \right)+F_{264}\! \left(x \right)+F_{270}\! \left(x \right)+F_{50}\! \left(x \right)
F_{259}\! \left(x \right) = F_{18}\! \left(x \right) F_{260}\! \left(x \right)
F_{260}\! \left(x \right) = F_{261}\! \left(x \right)+F_{292}\! \left(x \right)
F_{261}\! \left(x \right) = F_{240}\! \left(x \right)+F_{262}\! \left(x \right)
F_{262}\! \left(x \right) = F_{263}\! \left(x \right)+F_{264}\! \left(x \right)+F_{270}\! \left(x \right)+F_{50}\! \left(x \right)
F_{263}\! \left(x \right) = F_{18}\! \left(x \right) F_{261}\! \left(x \right)
F_{264}\! \left(x \right) = F_{18}\! \left(x \right) F_{265}\! \left(x \right)
F_{265}\! \left(x \right) = F_{266}\! \left(x \right)+F_{283}\! \left(x \right)
F_{266}\! \left(x \right) = F_{267}\! \left(x \right)+F_{268}\! \left(x \right)
F_{267}\! \left(x \right) = F_{250}\! \left(x \right)+F_{50}\! \left(x \right)+F_{62}\! \left(x \right)
F_{268}\! \left(x \right) = F_{264}\! \left(x \right)+F_{269}\! \left(x \right)+F_{270}\! \left(x \right)+F_{50}\! \left(x \right)
F_{269}\! \left(x \right) = F_{18}\! \left(x \right) F_{240}\! \left(x \right)
F_{270}\! \left(x \right) = F_{18}\! \left(x \right) F_{271}\! \left(x \right)
F_{271}\! \left(x \right) = F_{272}\! \left(x \right)
F_{272}\! \left(x \right) = F_{134}\! \left(x \right)+F_{273}\! \left(x \right)
F_{273}\! \left(x \right) = 2 F_{50}\! \left(x \right)+F_{274}\! \left(x \right)+F_{278}\! \left(x \right)
F_{274}\! \left(x \right) = F_{18}\! \left(x \right) F_{275}\! \left(x \right)
F_{275}\! \left(x \right) = F_{276}\! \left(x \right)
F_{276}\! \left(x \right) = F_{18}\! \left(x \right) F_{277}\! \left(x \right)
F_{277}\! \left(x \right) = F_{275}\! \left(x \right)+F_{41}\! \left(x \right)
F_{278}\! \left(x \right) = F_{18}\! \left(x \right) F_{279}\! \left(x \right)
F_{279}\! \left(x \right) = F_{280}\! \left(x \right)
F_{280}\! \left(x \right) = F_{253}\! \left(x \right)+F_{281}\! \left(x \right)
F_{281}\! \left(x \right) = 2 F_{50}\! \left(x \right)+F_{274}\! \left(x \right)+F_{282}\! \left(x \right)
F_{282}\! \left(x \right) = F_{18}\! \left(x \right) F_{280}\! \left(x \right)
F_{283}\! \left(x \right) = F_{284}\! \left(x \right)+F_{288}\! \left(x \right)
F_{284}\! \left(x \right) = F_{256}\! \left(x \right)+F_{285}\! \left(x \right)+F_{287}\! \left(x \right)+F_{50}\! \left(x \right)
F_{285}\! \left(x \right) = F_{18}\! \left(x \right) F_{286}\! \left(x \right)
F_{286}\! \left(x \right) = F_{254}\! \left(x \right)
F_{287}\! \left(x \right) = 0
F_{288}\! \left(x \right) = F_{289}\! \left(x \right)+F_{290}\! \left(x \right)+F_{296}\! \left(x \right)+F_{297}\! \left(x \right)+F_{50}\! \left(x \right)
F_{289}\! \left(x \right) = F_{18}\! \left(x \right) F_{262}\! \left(x \right)
F_{290}\! \left(x \right) = F_{18}\! \left(x \right) F_{291}\! \left(x \right)
F_{291}\! \left(x \right) = F_{292}\! \left(x \right)
F_{292}\! \left(x \right) = F_{293}\! \left(x \right)+F_{294}\! \left(x \right)
F_{293}\! \left(x \right) = F_{269}\! \left(x \right)
F_{294}\! \left(x \right) = 3 F_{50}\! \left(x \right)+F_{289}\! \left(x \right)+F_{295}\! \left(x \right)
F_{295}\! \left(x \right) = F_{18}\! \left(x \right) F_{292}\! \left(x \right)
F_{296}\! \left(x \right) = 0
F_{297}\! \left(x \right) = 0
F_{298}\! \left(x \right) = F_{18}\! \left(x \right) F_{299}\! \left(x \right)
F_{299}\! \left(x \right) = F_{300}\! \left(x \right)
F_{300}\! \left(x \right) = F_{167}\! \left(x \right)+F_{301}\! \left(x \right)
F_{301}\! \left(x \right) = F_{302}\! \left(x \right)
F_{302}\! \left(x \right) = F_{18}\! \left(x \right) F_{303}\! \left(x \right)
F_{303}\! \left(x \right) = F_{277}\! \left(x \right)+F_{280}\! \left(x \right)
F_{304}\! \left(x \right) = \frac{F_{305}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{305}\! \left(x \right) = F_{2}\! \left(x \right)
F_{306}\! \left(x \right) = F_{18}\! \left(x \right) F_{307}\! \left(x \right) F_{36}\! \left(x \right)
F_{307}\! \left(x \right) = F_{308}\! \left(x \right)+F_{309}\! \left(x \right)
F_{308}\! \left(x \right) = F_{2}\! \left(x \right) F_{78}\! \left(x \right)
F_{309}\! \left(x \right) = F_{310}\! \left(x \right)
F_{310}\! \left(x \right) = F_{0}\! \left(x \right) F_{18}\! \left(x \right) F_{311}\! \left(x \right) F_{78}\! \left(x \right)
F_{311}\! \left(x \right) = F_{74}\! \left(x \right)+F_{76}\! \left(x \right)
F_{312}\! \left(x \right) = F_{2}\! \left(x \right) F_{313}\! \left(x \right) F_{44}\! \left(x \right)
F_{313}\! \left(x \right) = F_{314}\! \left(x \right)+F_{315}\! \left(x \right)
F_{314}\! \left(x \right) = F_{1}\! \left(x \right)+F_{167}\! \left(x \right)
F_{315}\! \left(x \right) = F_{178}\! \left(x \right)+F_{37}\! \left(x \right)
F_{316}\! \left(x \right) = -F_{325}\! \left(x \right)+F_{317}\! \left(x \right)
F_{317}\! \left(x \right) = \frac{F_{318}\! \left(x \right)}{F_{36}\! \left(x \right)}
F_{318}\! \left(x \right) = -F_{321}\! \left(x \right)+F_{319}\! \left(x \right)
F_{319}\! \left(x \right) = \frac{F_{320}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{320}\! \left(x \right) = F_{33}\! \left(x \right)
F_{321}\! \left(x \right) = F_{2}\! \left(x \right) F_{322}\! \left(x \right)
F_{322}\! \left(x \right) = F_{323}\! \left(x \right)+F_{324}\! \left(x \right)
F_{323}\! \left(x \right) = F_{237}\! \left(x \right) F_{36}\! \left(x \right)
F_{324}\! \left(x \right) = F_{177}\! \left(x \right) F_{44}\! \left(x \right)
F_{325}\! \left(x \right) = -F_{326}\! \left(x \right)+F_{91}\! \left(x \right)
F_{326}\! \left(x \right) = F_{327}\! \left(x \right) F_{76}\! \left(x \right)
F_{327}\! \left(x \right) = -F_{332}\! \left(x \right)+F_{328}\! \left(x \right)
F_{328}\! \left(x \right) = F_{329}\! \left(x \right)
F_{329}\! \left(x \right) = F_{0}\! \left(x \right) F_{18}\! \left(x \right) F_{330}\! \left(x \right)
F_{330}\! \left(x \right) = F_{331}\! \left(x \right)+F_{81}\! \left(x \right)
F_{331}\! \left(x \right) = F_{78} \left(x \right)^{3}
F_{332}\! \left(x \right) = F_{333}\! \left(x \right)
F_{333}\! \left(x \right) = F_{76} \left(x \right)^{2} F_{0}\! \left(x \right) F_{78}\! \left(x \right)
F_{334}\! \left(x \right) = F_{335}\! \left(x \right)
F_{335}\! \left(x \right) = F_{18}\! \left(x \right) F_{336}\! \left(x \right)
F_{336}\! \left(x \right) = F_{337}\! \left(x \right)+F_{356}\! \left(x \right)
F_{337}\! \left(x \right) = F_{0}\! \left(x \right) F_{338}\! \left(x \right)
F_{338}\! \left(x \right) = F_{339}\! \left(x \right)+F_{343}\! \left(x \right)
F_{339}\! \left(x \right) = F_{10}\! \left(x \right) F_{340}\! \left(x \right)
F_{340}\! \left(x \right) = F_{0}\! \left(x \right)+F_{341}\! \left(x \right)
F_{341}\! \left(x \right) = F_{342}\! \left(x \right)
F_{342}\! \left(x \right) = F_{0}\! \left(x \right) F_{18}\! \left(x \right) F_{340}\! \left(x \right)
F_{343}\! \left(x \right) = F_{344}\! \left(x \right)
F_{344}\! \left(x \right) = F_{18}\! \left(x \right) F_{345}\! \left(x \right)
F_{345}\! \left(x \right) = F_{346}\! \left(x \right)+F_{347}\! \left(x \right)
F_{346}\! \left(x \right) = F_{10}\! \left(x \right) F_{16}\! \left(x \right) F_{340}\! \left(x \right)
F_{347}\! \left(x \right) = F_{348}\! \left(x \right) F_{78}\! \left(x \right)
F_{348}\! \left(x \right) = F_{349}\! \left(x \right)
F_{349}\! \left(x \right) = F_{18}\! \left(x \right) F_{350}\! \left(x \right)
F_{350}\! \left(x \right) = F_{351}\! \left(x \right)+F_{352}\! \left(x \right)
F_{351}\! \left(x \right) = F_{16}\! \left(x \right) F_{340}\! \left(x \right)
F_{352}\! \left(x \right) = F_{353}\! \left(x \right)
F_{353}\! \left(x \right) = F_{18}\! \left(x \right) F_{354}\! \left(x \right)
F_{354}\! \left(x \right) = F_{347}\! \left(x \right)+F_{355}\! \left(x \right)
F_{355}\! \left(x \right) = F_{16} \left(x \right)^{2} F_{340}\! \left(x \right)
F_{356}\! \left(x \right) = F_{357}\! \left(x \right)
F_{357}\! \left(x \right) = F_{0}\! \left(x \right) F_{10}\! \left(x \right) F_{358}\! \left(x \right)
F_{358}\! \left(x \right) = F_{359}\! \left(x \right)
F_{359}\! \left(x \right) = F_{0}\! \left(x \right) F_{18}\! \left(x \right) F_{360}\! \left(x \right) F_{78}\! \left(x \right)
F_{360}\! \left(x \right) = F_{340}\! \left(x \right)+F_{361}\! \left(x \right)
F_{361}\! \left(x \right) = F_{0}\! \left(x \right) F_{18}\! \left(x \right)
F_{362}\! \left(x \right) = F_{363}\! \left(x \right)+F_{508}\! \left(x \right)
F_{363}\! \left(x \right) = F_{364}\! \left(x \right)+F_{368}\! \left(x \right)
F_{364}\! \left(x \right) = F_{0}\! \left(x \right) F_{365}\! \left(x \right)
F_{365}\! \left(x \right) = F_{366}\! \left(x \right)
F_{366}\! \left(x \right) = F_{0}\! \left(x \right) F_{18}\! \left(x \right) F_{367}\! \left(x \right)
F_{367}\! \left(x \right) = F_{13}\! \left(x \right)+F_{365}\! \left(x \right)
F_{368}\! \left(x \right) = F_{369}\! \left(x \right)
F_{369}\! \left(x \right) = F_{0}\! \left(x \right) F_{370}\! \left(x \right) F_{383}\! \left(x \right)
F_{370}\! \left(x \right) = -F_{10}\! \left(x \right)+F_{371}\! \left(x \right)
F_{371}\! \left(x \right) = \frac{F_{372}\! \left(x \right)}{F_{76}\! \left(x \right)}
F_{372}\! \left(x \right) = -F_{380}\! \left(x \right)+F_{373}\! \left(x \right)
F_{373}\! \left(x \right) = F_{374}\! \left(x \right)+F_{375}\! \left(x \right)
F_{374}\! \left(x \right) = F_{10}\! \left(x \right) F_{78}\! \left(x \right)
F_{375}\! \left(x \right) = F_{376}\! \left(x \right)
F_{376}\! \left(x \right) = F_{18}\! \left(x \right) F_{377}\! \left(x \right)
F_{377}\! \left(x \right) = F_{367}\! \left(x \right)+F_{378}\! \left(x \right)
F_{378}\! \left(x \right) = F_{379}\! \left(x \right)
F_{379}\! \left(x \right) = F_{0}\! \left(x \right) F_{371}\! \left(x \right) F_{76}\! \left(x \right)
F_{380}\! \left(x \right) = F_{10}\! \left(x \right)+F_{381}\! \left(x \right)
F_{381}\! \left(x \right) = F_{382}\! \left(x \right)
F_{382}\! \left(x \right) = F_{18}\! \left(x \right) F_{367}\! \left(x \right)
F_{383}\! \left(x \right) = \frac{F_{384}\! \left(x \right)}{F_{76}\! \left(x \right)}
F_{384}\! \left(x \right) = -F_{27}\! \left(x \right)+F_{385}\! \left(x \right)
F_{385}\! \left(x \right) = \frac{F_{386}\! \left(x \right)}{F_{36}\! \left(x \right)}
F_{386}\! \left(x \right) = F_{387}\! \left(x \right)
F_{387}\! \left(x \right) = -F_{506}\! \left(x \right)+F_{388}\! \left(x \right)
F_{388}\! \left(x \right) = -F_{391}\! \left(x \right)+F_{389}\! \left(x \right)
F_{389}\! \left(x \right) = \frac{F_{390}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{390}\! \left(x \right) = F_{33}\! \left(x \right)
F_{391}\! \left(x \right) = F_{392}\! \left(x \right)+F_{499}\! \left(x \right)
F_{392}\! \left(x \right) = F_{2}\! \left(x \right) F_{393}\! \left(x \right)
F_{393}\! \left(x \right) = F_{394}\! \left(x \right)+F_{81}\! \left(x \right)
F_{394}\! \left(x \right) = F_{395}\! \left(x \right)+F_{436}\! \left(x \right)
F_{395}\! \left(x \right) = F_{396}\! \left(x \right)
F_{396}\! \left(x \right) = F_{18}\! \left(x \right) F_{397}\! \left(x \right)
F_{397}\! \left(x \right) = F_{398}\! \left(x \right)+F_{399}\! \left(x \right)
F_{398}\! \left(x \right) = F_{18}\! \left(x \right)+F_{395}\! \left(x \right)
F_{399}\! \left(x \right) = F_{400}\! \left(x \right)+F_{412}\! \left(x \right)
F_{400}\! \left(x \right) = F_{401}\! \left(x \right)
F_{401}\! \left(x \right) = F_{18}\! \left(x \right) F_{402}\! \left(x \right)
F_{402}\! \left(x \right) = F_{403}\! \left(x \right)+F_{406}\! \left(x \right)
F_{403}\! \left(x \right) = F_{18}\! \left(x \right)+F_{404}\! \left(x \right)
F_{404}\! \left(x \right) = F_{405}\! \left(x \right)
F_{405}\! \left(x \right) = F_{18}\! \left(x \right) F_{403}\! \left(x \right)
F_{406}\! \left(x \right) = F_{407}\! \left(x \right)+F_{409}\! \left(x \right)
F_{407}\! \left(x \right) = F_{408}\! \left(x \right)
F_{408}\! \left(x \right) = x^{2}
F_{409}\! \left(x \right) = 2 F_{50}\! \left(x \right)+F_{410}\! \left(x \right)+F_{411}\! \left(x \right)
F_{410}\! \left(x \right) = F_{18}\! \left(x \right) F_{404}\! \left(x \right)
F_{411}\! \left(x \right) = F_{18}\! \left(x \right) F_{406}\! \left(x \right)
F_{412}\! \left(x \right) = 2 F_{50}\! \left(x \right)+F_{413}\! \left(x \right)+F_{418}\! \left(x \right)
F_{413}\! \left(x \right) = F_{18}\! \left(x \right) F_{414}\! \left(x \right)
F_{414}\! \left(x \right) = F_{415}\! \left(x \right)+F_{431}\! \left(x \right)
F_{415}\! \left(x \right) = F_{395}\! \left(x \right)+F_{416}\! \left(x \right)
F_{416}\! \left(x \right) = 2 F_{50}\! \left(x \right)+F_{417}\! \left(x \right)+F_{418}\! \left(x \right)
F_{417}\! \left(x \right) = F_{18}\! \left(x \right) F_{415}\! \left(x \right)
F_{418}\! \left(x \right) = F_{18}\! \left(x \right) F_{419}\! \left(x \right)
F_{419}\! \left(x \right) = F_{420}\! \left(x \right)+F_{423}\! \left(x \right)
F_{420}\! \left(x \right) = F_{407}\! \left(x \right)+F_{421}\! \left(x \right)
F_{421}\! \left(x \right) = 2 F_{50}\! \left(x \right)+F_{418}\! \left(x \right)+F_{422}\! \left(x \right)
F_{422}\! \left(x \right) = F_{18}\! \left(x \right) F_{395}\! \left(x \right)
F_{423}\! \left(x \right) = F_{424}\! \left(x \right)+F_{427}\! \left(x \right)
F_{424}\! \left(x \right) = 2 F_{50}\! \left(x \right)+F_{410}\! \left(x \right)+F_{425}\! \left(x \right)
F_{425}\! \left(x \right) = F_{18}\! \left(x \right) F_{426}\! \left(x \right)
F_{426}\! \left(x \right) = F_{406}\! \left(x \right)
F_{427}\! \left(x \right) = 2 F_{50}\! \left(x \right)+F_{428}\! \left(x \right)+F_{429}\! \left(x \right)+F_{435}\! \left(x \right)
F_{428}\! \left(x \right) = F_{18}\! \left(x \right) F_{416}\! \left(x \right)
F_{429}\! \left(x \right) = F_{18}\! \left(x \right) F_{430}\! \left(x \right)
F_{430}\! \left(x \right) = F_{431}\! \left(x \right)
F_{431}\! \left(x \right) = F_{432}\! \left(x \right)+F_{433}\! \left(x \right)
F_{432}\! \left(x \right) = F_{422}\! \left(x \right)
F_{433}\! \left(x \right) = 3 F_{50}\! \left(x \right)+F_{428}\! \left(x \right)+F_{434}\! \left(x \right)
F_{434}\! \left(x \right) = F_{18}\! \left(x \right) F_{431}\! \left(x \right)
F_{435}\! \left(x \right) = 0
F_{436}\! \left(x \right) = 2 F_{50}\! \left(x \right)+F_{437}\! \left(x \right)+F_{494}\! \left(x \right)
F_{437}\! \left(x \right) = F_{18}\! \left(x \right) F_{438}\! \left(x \right)
F_{438}\! \left(x \right) = F_{439}\! \left(x \right)+F_{440}\! \left(x \right)
F_{439}\! \left(x \right) = F_{436}\! \left(x \right)+F_{79}\! \left(x \right)
F_{440}\! \left(x \right) = F_{441}\! \left(x \right)+F_{455}\! \left(x \right)
F_{441}\! \left(x \right) = 2 F_{50}\! \left(x \right)+F_{442}\! \left(x \right)+F_{447}\! \left(x \right)
F_{442}\! \left(x \right) = F_{18}\! \left(x \right) F_{443}\! \left(x \right)
F_{443}\! \left(x \right) = F_{444}\! \left(x \right)+F_{451}\! \left(x \right)
F_{444}\! \left(x \right) = F_{445}\! \left(x \right)+F_{79}\! \left(x \right)
F_{445}\! \left(x \right) = 2 F_{50}\! \left(x \right)+F_{446}\! \left(x \right)+F_{447}\! \left(x \right)
F_{446}\! \left(x \right) = F_{18}\! \left(x \right) F_{444}\! \left(x \right)
F_{447}\! \left(x \right) = F_{18}\! \left(x \right) F_{448}\! \left(x \right)
F_{448}\! \left(x \right) = F_{407}\! \left(x \right)+F_{449}\! \left(x \right)
F_{449}\! \left(x \right) = F_{450}\! \left(x \right)
F_{450}\! \left(x \right) = F_{18}\! \left(x \right) F_{79}\! \left(x \right)
F_{451}\! \left(x \right) = F_{449}\! \left(x \right)+F_{452}\! \left(x \right)
F_{452}\! \left(x \right) = 3 F_{50}\! \left(x \right)+F_{453}\! \left(x \right)+F_{454}\! \left(x \right)
F_{453}\! \left(x \right) = F_{18}\! \left(x \right) F_{445}\! \left(x \right)
F_{454}\! \left(x \right) = F_{18}\! \left(x \right) F_{451}\! \left(x \right)
F_{455}\! \left(x \right) = 2 F_{50}\! \left(x \right)+F_{456}\! \left(x \right)+F_{461}\! \left(x \right)+F_{467}\! \left(x \right)
F_{456}\! \left(x \right) = F_{18}\! \left(x \right) F_{457}\! \left(x \right)
F_{457}\! \left(x \right) = F_{458}\! \left(x \right)+F_{488}\! \left(x \right)
F_{458}\! \left(x \right) = F_{436}\! \left(x \right)+F_{459}\! \left(x \right)
F_{459}\! \left(x \right) = 2 F_{50}\! \left(x \right)+F_{460}\! \left(x \right)+F_{461}\! \left(x \right)+F_{467}\! \left(x \right)
F_{460}\! \left(x \right) = F_{18}\! \left(x \right) F_{458}\! \left(x \right)
F_{461}\! \left(x \right) = F_{18}\! \left(x \right) F_{462}\! \left(x \right)
F_{462}\! \left(x \right) = F_{463}\! \left(x \right)+F_{479}\! \left(x \right)
F_{463}\! \left(x \right) = F_{464}\! \left(x \right)+F_{465}\! \left(x \right)
F_{464}\! \left(x \right) = 2 F_{50}\! \left(x \right)+F_{447}\! \left(x \right)+F_{450}\! \left(x \right)
F_{465}\! \left(x \right) = 2 F_{50}\! \left(x \right)+F_{461}\! \left(x \right)+F_{466}\! \left(x \right)+F_{467}\! \left(x \right)
F_{466}\! \left(x \right) = F_{18}\! \left(x \right) F_{436}\! \left(x \right)
F_{467}\! \left(x \right) = F_{18}\! \left(x \right) F_{468}\! \left(x \right)
F_{468}\! \left(x \right) = F_{424}\! \left(x \right)+F_{469}\! \left(x \right)
F_{469}\! \left(x \right) = 3 F_{50}\! \left(x \right)+F_{470}\! \left(x \right)+F_{474}\! \left(x \right)
F_{470}\! \left(x \right) = F_{18}\! \left(x \right) F_{471}\! \left(x \right)
F_{471}\! \left(x \right) = F_{472}\! \left(x \right)
F_{472}\! \left(x \right) = F_{18}\! \left(x \right) F_{473}\! \left(x \right)
F_{473}\! \left(x \right) = F_{471}\! \left(x \right)+F_{79}\! \left(x \right)
F_{474}\! \left(x \right) = F_{18}\! \left(x \right) F_{475}\! \left(x \right)
F_{475}\! \left(x \right) = F_{476}\! \left(x \right)
F_{476}\! \left(x \right) = F_{449}\! \left(x \right)+F_{477}\! \left(x \right)
F_{477}\! \left(x \right) = 3 F_{50}\! \left(x \right)+F_{470}\! \left(x \right)+F_{478}\! \left(x \right)
F_{478}\! \left(x \right) = F_{18}\! \left(x \right) F_{476}\! \left(x \right)
F_{479}\! \left(x \right) = F_{480}\! \left(x \right)+F_{484}\! \left(x \right)
F_{480}\! \left(x \right) = 2 F_{50}\! \left(x \right)+F_{453}\! \left(x \right)+F_{481}\! \left(x \right)+F_{483}\! \left(x \right)
F_{481}\! \left(x \right) = F_{18}\! \left(x \right) F_{482}\! \left(x \right)
F_{482}\! \left(x \right) = F_{451}\! \left(x \right)
F_{483}\! \left(x \right) = 0
F_{484}\! \left(x \right) = 2 F_{50}\! \left(x \right)+F_{485}\! \left(x \right)+F_{486}\! \left(x \right)+F_{492}\! \left(x \right)+F_{493}\! \left(x \right)
F_{485}\! \left(x \right) = F_{18}\! \left(x \right) F_{459}\! \left(x \right)
F_{486}\! \left(x \right) = F_{18}\! \left(x \right) F_{487}\! \left(x \right)
F_{487}\! \left(x \right) = F_{488}\! \left(x \right)
F_{488}\! \left(x \right) = F_{489}\! \left(x \right)+F_{490}\! \left(x \right)
F_{489}\! \left(x \right) = F_{466}\! \left(x \right)
F_{490}\! \left(x \right) = 4 F_{50}\! \left(x \right)+F_{485}\! \left(x \right)+F_{491}\! \left(x \right)
F_{491}\! \left(x \right) = F_{18}\! \left(x \right) F_{488}\! \left(x \right)
F_{492}\! \left(x \right) = 0
F_{493}\! \left(x \right) = 0
F_{494}\! \left(x \right) = F_{18}\! \left(x \right) F_{495}\! \left(x \right)
F_{495}\! \left(x \right) = F_{400}\! \left(x \right)+F_{496}\! \left(x \right)
F_{496}\! \left(x \right) = F_{497}\! \left(x \right)
F_{497}\! \left(x \right) = F_{18}\! \left(x \right) F_{498}\! \left(x \right)
F_{498}\! \left(x \right) = F_{473}\! \left(x \right)+F_{476}\! \left(x \right)
F_{499}\! \left(x \right) = F_{500}\! \left(x \right)
F_{500}\! \left(x \right) = F_{36}\! \left(x \right) F_{501}\! \left(x \right)
F_{501}\! \left(x \right) = F_{502}\! \left(x \right)
F_{502}\! \left(x \right) = F_{0}\! \left(x \right) F_{18}\! \left(x \right) F_{503}\! \left(x \right) F_{78}\! \left(x \right)
F_{503}\! \left(x \right) = F_{504}\! \left(x \right)+F_{81}\! \left(x \right)
F_{504}\! \left(x \right) = F_{505}\! \left(x \right)
F_{505}\! \left(x \right) = x^{2}
F_{506}\! \left(x \right) = F_{2}\! \left(x \right) F_{507}\! \left(x \right)
F_{507}\! \left(x \right) = F_{177}\! \left(x \right)+F_{99}\! \left(x \right)
F_{508}\! \left(x \right) = F_{509}\! \left(x \right)
F_{509}\! \left(x \right) = F_{0}\! \left(x \right) F_{510}\! \left(x \right)
F_{510}\! \left(x \right) = -F_{518}\! \left(x \right)+F_{511}\! \left(x \right)
F_{511}\! \left(x \right) = \frac{F_{512}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{512}\! \left(x \right) = F_{513}\! \left(x \right)
F_{513}\! \left(x \right) = F_{18}\! \left(x \right) F_{341}\! \left(x \right) F_{514}\! \left(x \right)
F_{514}\! \left(x \right) = F_{515}\! \left(x \right)+F_{516}\! \left(x \right)
F_{515}\! \left(x \right) = F_{2}\! \left(x \right) F_{78}\! \left(x \right)
F_{516}\! \left(x \right) = F_{517}\! \left(x \right)
F_{517}\! \left(x \right) = F_{18}\! \left(x \right) F_{377}\! \left(x \right)
F_{518}\! \left(x \right) = F_{519}\! \left(x \right)
F_{519}\! \left(x \right) = F_{10}\! \left(x \right) F_{341}\! \left(x \right) F_{76}\! \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_18(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_18(x)*F_8(x))
Eq(F_8(x), F_19(x) + F_9(x))
Eq(F_9(x), F_10(x)*F_2(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_18(x))
Eq(F_13(x), F_14(x)/F_18(x))
Eq(F_14(x), F_15(x))
Eq(F_15(x), -F_0(x) + F_16(x))
Eq(F_16(x), F_17(x)/F_18(x))
Eq(F_17(x), F_2(x))
Eq(F_18(x), x)
Eq(F_19(x), F_20(x))
Eq(F_20(x), F_18(x)*F_21(x))
Eq(F_21(x), F_22(x) + F_362(x))
Eq(F_22(x), F_23(x) + F_334(x))
Eq(F_23(x), F_24(x) + F_25(x))
Eq(F_24(x), F_0(x)*F_13(x))
Eq(F_25(x), F_26(x))
Eq(F_26(x), F_0(x)*F_10(x)*F_27(x))
Eq(F_27(x), F_28(x) - F_316(x))
Eq(F_28(x), F_29(x)/F_36(x))
Eq(F_29(x), F_30(x) - F_312(x))
Eq(F_30(x), -F_306(x) + F_31(x))
Eq(F_31(x), F_32(x)/F_18(x))
Eq(F_32(x), F_33(x))
Eq(F_33(x), F_18(x)*F_34(x))
Eq(F_34(x), F_238(x) + F_35(x))
Eq(F_35(x), F_36(x)*F_68(x))
Eq(F_36(x), F_1(x) + F_37(x))
Eq(F_37(x), F_38(x))
Eq(F_38(x), F_18(x)*F_39(x))
Eq(F_39(x), F_36(x) + F_40(x))
Eq(F_40(x), F_41(x) + F_49(x))
Eq(F_41(x), F_42(x))
Eq(F_42(x), F_18(x)*F_43(x))
Eq(F_43(x), F_44(x) + F_45(x))
Eq(F_44(x), F_1(x) + F_41(x))
Eq(F_45(x), F_18(x) + F_46(x))
Eq(F_46(x), F_47(x))
Eq(F_47(x), F_18(x)*F_48(x))
Eq(F_48(x), F_45(x))
Eq(F_49(x), F_50(x) + F_51(x) + F_57(x))
Eq(F_50(x), 0)
Eq(F_51(x), F_18(x)*F_52(x))
Eq(F_52(x), F_53(x) + F_54(x))
Eq(F_53(x), F_37(x) + F_49(x))
Eq(F_54(x), F_55(x) + F_65(x))
Eq(F_55(x), F_50(x) + F_56(x) + F_57(x))
Eq(F_56(x), F_18(x)*F_37(x))
Eq(F_57(x), F_18(x)*F_58(x))
Eq(F_58(x), F_59(x) + F_60(x))
Eq(F_59(x), F_18(x) + F_55(x))
Eq(F_60(x), F_61(x) + F_63(x))
Eq(F_61(x), F_62(x))
Eq(F_62(x), F_18(x)*F_41(x))
Eq(F_63(x), F_64(x))
Eq(F_64(x), F_18(x)*F_49(x))
Eq(F_65(x), F_66(x))
Eq(F_66(x), F_18(x)*F_67(x))
Eq(F_67(x), F_54(x))
Eq(F_68(x), F_69(x))
Eq(F_69(x), F_18(x)*F_70(x))
Eq(F_70(x), F_232(x) + F_71(x))
Eq(F_71(x), F_72(x) + F_83(x))
Eq(F_72(x), F_0(x)*F_73(x))
Eq(F_73(x), F_74(x) + F_75(x))
Eq(F_74(x), F_1(x) + F_18(x))
Eq(F_75(x), F_76(x) + F_79(x))
Eq(F_76(x), F_77(x))
Eq(F_77(x), F_18(x)*F_78(x))
Eq(F_78(x), F_1(x) + F_76(x))
Eq(F_79(x), F_50(x) + F_80(x) + F_82(x))
Eq(F_80(x), F_18(x)*F_81(x))
Eq(F_81(x), F_18(x) + F_79(x))
Eq(F_82(x), F_18(x)*F_76(x))
Eq(F_83(x), F_84(x))
Eq(F_84(x), F_230(x) + F_85(x))
Eq(F_85(x), F_228(x) + F_86(x))
Eq(F_86(x), F_41(x) + F_87(x))
Eq(F_87(x), F_88(x))
Eq(F_88(x), F_18(x)*F_89(x))
Eq(F_89(x), F_90(x) + F_91(x))
Eq(F_90(x), F_2(x)*F_78(x)**2)
Eq(F_91(x), F_92(x)/F_36(x))
Eq(F_92(x), F_93(x))
Eq(F_93(x), F_94(x) - F_96(x))
Eq(F_94(x), F_95(x)/F_18(x))
Eq(F_95(x), F_33(x))
Eq(F_96(x), F_2(x)*F_97(x))
Eq(F_97(x), F_177(x) + F_98(x))
Eq(F_98(x), F_78(x)*F_99(x))
Eq(F_99(x), F_100(x) + F_78(x))
Eq(F_100(x), F_101(x) + F_37(x))
Eq(F_101(x), F_102(x) + F_165(x) + F_50(x))
Eq(F_102(x), F_103(x)*F_18(x))
Eq(F_103(x), F_104(x) + F_105(x))
Eq(F_104(x), F_101(x) + F_76(x))
Eq(F_105(x), F_106(x) + F_120(x))
Eq(F_106(x), F_107(x) + F_112(x) + F_50(x))
Eq(F_107(x), F_108(x)*F_18(x))
Eq(F_108(x), F_109(x) + F_116(x))
Eq(F_109(x), F_110(x) + F_76(x))
Eq(F_110(x), F_111(x) + F_112(x) + F_50(x))
Eq(F_111(x), F_109(x)*F_18(x))
Eq(F_112(x), F_113(x)*F_18(x))
Eq(F_113(x), F_114(x) + F_18(x))
Eq(F_114(x), F_115(x))
Eq(F_115(x), F_18(x)*F_76(x))
Eq(F_116(x), F_114(x) + F_117(x))
Eq(F_117(x), F_118(x) + F_119(x) + 2*F_50(x))
Eq(F_118(x), F_110(x)*F_18(x))
Eq(F_119(x), F_116(x)*F_18(x))
Eq(F_120(x), F_121(x) + F_126(x) + F_132(x) + F_50(x))
Eq(F_121(x), F_122(x)*F_18(x))
Eq(F_122(x), F_123(x) + F_159(x))
Eq(F_123(x), F_101(x) + F_124(x))
Eq(F_124(x), F_125(x) + F_126(x) + F_132(x) + F_50(x))
Eq(F_125(x), F_123(x)*F_18(x))
Eq(F_126(x), F_127(x)*F_18(x))
Eq(F_127(x), F_128(x) + F_150(x))
Eq(F_128(x), F_129(x) + F_130(x))
Eq(F_129(x), F_112(x) + F_115(x) + F_50(x))
Eq(F_130(x), F_126(x) + F_131(x) + F_132(x) + F_50(x))
Eq(F_131(x), F_101(x)*F_18(x))
Eq(F_132(x), F_133(x)*F_18(x))
Eq(F_133(x), F_134(x) + F_140(x))
Eq(F_134(x), F_115(x) + F_135(x) + F_50(x))
Eq(F_135(x), F_136(x)*F_18(x))
Eq(F_136(x), F_137(x))
Eq(F_137(x), F_138(x) + F_18(x))
Eq(F_138(x), F_115(x) + F_139(x) + F_50(x))
Eq(F_139(x), F_137(x)*F_18(x))
Eq(F_140(x), F_141(x) + F_145(x) + 2*F_50(x))
Eq(F_141(x), F_142(x)*F_18(x))
Eq(F_142(x), F_143(x))
Eq(F_143(x), F_144(x)*F_18(x))
Eq(F_144(x), F_142(x) + F_76(x))
Eq(F_145(x), F_146(x)*F_18(x))
Eq(F_146(x), F_147(x))
Eq(F_147(x), F_114(x) + F_148(x))
Eq(F_148(x), F_141(x) + F_149(x) + 2*F_50(x))
Eq(F_149(x), F_147(x)*F_18(x))
Eq(F_150(x), F_151(x) + F_155(x))
Eq(F_151(x), F_118(x) + F_152(x) + F_154(x) + F_50(x))
Eq(F_152(x), F_153(x)*F_18(x))
Eq(F_153(x), F_116(x))
Eq(F_154(x), 0)
Eq(F_155(x), F_156(x) + F_157(x) + F_163(x) + F_164(x) + F_50(x))
Eq(F_156(x), F_124(x)*F_18(x))
Eq(F_157(x), F_158(x)*F_18(x))
Eq(F_158(x), F_159(x))
Eq(F_159(x), F_160(x) + F_161(x))
Eq(F_160(x), F_131(x))
Eq(F_161(x), F_156(x) + F_162(x) + 3*F_50(x))
Eq(F_162(x), F_159(x)*F_18(x))
Eq(F_163(x), 0)
Eq(F_164(x), 0)
Eq(F_165(x), F_166(x)*F_18(x))
Eq(F_166(x), F_167(x) + F_174(x))
Eq(F_167(x), F_168(x))
Eq(F_168(x), F_169(x)*F_18(x))
Eq(F_169(x), F_170(x) + F_78(x))
Eq(F_170(x), F_171(x) + F_76(x))
Eq(F_171(x), F_172(x))
Eq(F_172(x), F_173(x)*F_18(x))
Eq(F_173(x), F_171(x) + F_76(x))
Eq(F_174(x), F_175(x))
Eq(F_175(x), F_176(x)*F_18(x))
Eq(F_176(x), F_144(x) + F_147(x))
Eq(F_177(x), F_167(x) + F_178(x))
Eq(F_178(x), F_179(x) + F_225(x) + F_50(x))
Eq(F_179(x), F_18(x)*F_180(x))
Eq(F_180(x), F_177(x) + F_181(x))
Eq(F_181(x), F_182(x) + F_199(x))
Eq(F_182(x), F_183(x) + F_189(x) + F_50(x))
Eq(F_183(x), F_18(x)*F_184(x))
Eq(F_184(x), F_185(x) + F_186(x))
Eq(F_185(x), F_167(x) + F_182(x))
Eq(F_186(x), F_187(x) + F_196(x))
Eq(F_187(x), F_188(x) + F_189(x) + F_50(x))
Eq(F_188(x), F_167(x)*F_18(x))
Eq(F_189(x), F_18(x)*F_190(x))
Eq(F_190(x), F_191(x) + F_193(x))
Eq(F_191(x), F_18(x) + F_192(x))
Eq(F_192(x), F_115(x))
Eq(F_193(x), F_192(x) + F_194(x))
Eq(F_194(x), F_195(x))
Eq(F_195(x), F_171(x)*F_18(x))
Eq(F_196(x), F_197(x))
Eq(F_197(x), F_18(x)*F_198(x))
Eq(F_198(x), F_186(x))
Eq(F_199(x), F_200(x) + F_206(x) + F_214(x) + F_50(x))
Eq(F_200(x), F_18(x)*F_201(x))
Eq(F_201(x), F_202(x) + F_203(x))
Eq(F_202(x), F_178(x) + F_199(x))
Eq(F_203(x), F_204(x) + F_222(x))
Eq(F_204(x), F_205(x) + F_206(x) + F_214(x) + F_50(x))
Eq(F_205(x), F_178(x)*F_18(x))
Eq(F_206(x), F_18(x)*F_207(x))
Eq(F_207(x), F_208(x) + F_209(x))
Eq(F_208(x), F_187(x) + F_204(x))
Eq(F_209(x), F_210(x) + F_212(x))
Eq(F_210(x), F_211(x))
Eq(F_211(x), F_18(x)*F_182(x))
Eq(F_212(x), F_213(x))
Eq(F_213(x), F_18(x)*F_199(x))
Eq(F_214(x), F_18(x)*F_215(x))
Eq(F_215(x), F_193(x) + F_216(x))
Eq(F_216(x), F_194(x) + F_217(x))
Eq(F_217(x), F_218(x))
Eq(F_218(x), F_18(x)*F_219(x))
Eq(F_219(x), F_220(x))
Eq(F_220(x), F_18(x)*F_221(x))
Eq(F_221(x), F_171(x) + F_219(x))
Eq(F_222(x), F_223(x))
Eq(F_223(x), F_18(x)*F_224(x))
Eq(F_224(x), F_203(x))
Eq(F_225(x), F_18(x)*F_226(x))
Eq(F_226(x), F_170(x) + F_227(x))
Eq(F_227(x), F_171(x) + F_219(x))
Eq(F_228(x), F_229(x))
Eq(F_229(x), F_0(x)*F_18(x)*F_76(x))
Eq(F_230(x), F_231(x))
Eq(F_231(x), F_0(x)*F_18(x)**2)
Eq(F_232(x), F_233(x))
Eq(F_233(x), F_18(x)*F_234(x))
Eq(F_234(x), F_235(x) + F_70(x))
Eq(F_235(x), F_236(x))
Eq(F_236(x), F_0(x)*F_18(x)*F_237(x)*F_78(x))
Eq(F_237(x), F_44(x) + F_76(x))
Eq(F_238(x), F_239(x)*F_304(x))
Eq(F_239(x), F_240(x) + F_41(x))
Eq(F_240(x), F_241(x) + F_298(x) + F_50(x))
Eq(F_241(x), F_18(x)*F_242(x))
Eq(F_242(x), F_239(x) + F_243(x))
Eq(F_243(x), F_244(x) + F_258(x))
Eq(F_244(x), F_245(x) + F_250(x) + F_50(x))
Eq(F_245(x), F_18(x)*F_246(x))
Eq(F_246(x), F_247(x) + F_254(x))
Eq(F_247(x), F_248(x) + F_41(x))
Eq(F_248(x), F_249(x) + F_250(x) + F_50(x))
Eq(F_249(x), F_18(x)*F_247(x))
Eq(F_250(x), F_18(x)*F_251(x))
Eq(F_251(x), F_252(x))
Eq(F_252(x), F_18(x) + F_253(x))
Eq(F_253(x), F_62(x))
Eq(F_254(x), F_253(x) + F_255(x))
Eq(F_255(x), F_256(x) + F_257(x) + 2*F_50(x))
Eq(F_256(x), F_18(x)*F_248(x))
Eq(F_257(x), F_18(x)*F_254(x))
Eq(F_258(x), F_259(x) + F_264(x) + F_270(x) + F_50(x))
Eq(F_259(x), F_18(x)*F_260(x))
Eq(F_260(x), F_261(x) + F_292(x))
Eq(F_261(x), F_240(x) + F_262(x))
Eq(F_262(x), F_263(x) + F_264(x) + F_270(x) + F_50(x))
Eq(F_263(x), F_18(x)*F_261(x))
Eq(F_264(x), F_18(x)*F_265(x))
Eq(F_265(x), F_266(x) + F_283(x))
Eq(F_266(x), F_267(x) + F_268(x))
Eq(F_267(x), F_250(x) + F_50(x) + F_62(x))
Eq(F_268(x), F_264(x) + F_269(x) + F_270(x) + F_50(x))
Eq(F_269(x), F_18(x)*F_240(x))
Eq(F_270(x), F_18(x)*F_271(x))
Eq(F_271(x), F_272(x))
Eq(F_272(x), F_134(x) + F_273(x))
Eq(F_273(x), F_274(x) + F_278(x) + 2*F_50(x))
Eq(F_274(x), F_18(x)*F_275(x))
Eq(F_275(x), F_276(x))
Eq(F_276(x), F_18(x)*F_277(x))
Eq(F_277(x), F_275(x) + F_41(x))
Eq(F_278(x), F_18(x)*F_279(x))
Eq(F_279(x), F_280(x))
Eq(F_280(x), F_253(x) + F_281(x))
Eq(F_281(x), F_274(x) + F_282(x) + 2*F_50(x))
Eq(F_282(x), F_18(x)*F_280(x))
Eq(F_283(x), F_284(x) + F_288(x))
Eq(F_284(x), F_256(x) + F_285(x) + F_287(x) + F_50(x))
Eq(F_285(x), F_18(x)*F_286(x))
Eq(F_286(x), F_254(x))
Eq(F_287(x), 0)
Eq(F_288(x), F_289(x) + F_290(x) + F_296(x) + F_297(x) + F_50(x))
Eq(F_289(x), F_18(x)*F_262(x))
Eq(F_290(x), F_18(x)*F_291(x))
Eq(F_291(x), F_292(x))
Eq(F_292(x), F_293(x) + F_294(x))
Eq(F_293(x), F_269(x))
Eq(F_294(x), F_289(x) + F_295(x) + 3*F_50(x))
Eq(F_295(x), F_18(x)*F_292(x))
Eq(F_296(x), 0)
Eq(F_297(x), 0)
Eq(F_298(x), F_18(x)*F_299(x))
Eq(F_299(x), F_300(x))
Eq(F_300(x), F_167(x) + F_301(x))
Eq(F_301(x), F_302(x))
Eq(F_302(x), F_18(x)*F_303(x))
Eq(F_303(x), F_277(x) + F_280(x))
Eq(F_304(x), F_305(x)/F_18(x))
Eq(F_305(x), F_2(x))
Eq(F_306(x), F_18(x)*F_307(x)*F_36(x))
Eq(F_307(x), F_308(x) + F_309(x))
Eq(F_308(x), F_2(x)*F_78(x))
Eq(F_309(x), F_310(x))
Eq(F_310(x), F_0(x)*F_18(x)*F_311(x)*F_78(x))
Eq(F_311(x), F_74(x) + F_76(x))
Eq(F_312(x), F_2(x)*F_313(x)*F_44(x))
Eq(F_313(x), F_314(x) + F_315(x))
Eq(F_314(x), F_1(x) + F_167(x))
Eq(F_315(x), F_178(x) + F_37(x))
Eq(F_316(x), F_317(x) - F_325(x))
Eq(F_317(x), F_318(x)/F_36(x))
Eq(F_318(x), F_319(x) - F_321(x))
Eq(F_319(x), F_320(x)/F_18(x))
Eq(F_320(x), F_33(x))
Eq(F_321(x), F_2(x)*F_322(x))
Eq(F_322(x), F_323(x) + F_324(x))
Eq(F_323(x), F_237(x)*F_36(x))
Eq(F_324(x), F_177(x)*F_44(x))
Eq(F_325(x), -F_326(x) + F_91(x))
Eq(F_326(x), F_327(x)*F_76(x))
Eq(F_327(x), F_328(x) - F_332(x))
Eq(F_328(x), F_329(x))
Eq(F_329(x), F_0(x)*F_18(x)*F_330(x))
Eq(F_330(x), F_331(x) + F_81(x))
Eq(F_331(x), F_78(x)**3)
Eq(F_332(x), F_333(x))
Eq(F_333(x), F_0(x)*F_76(x)**2*F_78(x))
Eq(F_334(x), F_335(x))
Eq(F_335(x), F_18(x)*F_336(x))
Eq(F_336(x), F_337(x) + F_356(x))
Eq(F_337(x), F_0(x)*F_338(x))
Eq(F_338(x), F_339(x) + F_343(x))
Eq(F_339(x), F_10(x)*F_340(x))
Eq(F_340(x), F_0(x) + F_341(x))
Eq(F_341(x), F_342(x))
Eq(F_342(x), F_0(x)*F_18(x)*F_340(x))
Eq(F_343(x), F_344(x))
Eq(F_344(x), F_18(x)*F_345(x))
Eq(F_345(x), F_346(x) + F_347(x))
Eq(F_346(x), F_10(x)*F_16(x)*F_340(x))
Eq(F_347(x), F_348(x)*F_78(x))
Eq(F_348(x), F_349(x))
Eq(F_349(x), F_18(x)*F_350(x))
Eq(F_350(x), F_351(x) + F_352(x))
Eq(F_351(x), F_16(x)*F_340(x))
Eq(F_352(x), F_353(x))
Eq(F_353(x), F_18(x)*F_354(x))
Eq(F_354(x), F_347(x) + F_355(x))
Eq(F_355(x), F_16(x)**2*F_340(x))
Eq(F_356(x), F_357(x))
Eq(F_357(x), F_0(x)*F_10(x)*F_358(x))
Eq(F_358(x), F_359(x))
Eq(F_359(x), F_0(x)*F_18(x)*F_360(x)*F_78(x))
Eq(F_360(x), F_340(x) + F_361(x))
Eq(F_361(x), F_0(x)*F_18(x))
Eq(F_362(x), F_363(x) + F_508(x))
Eq(F_363(x), F_364(x) + F_368(x))
Eq(F_364(x), F_0(x)*F_365(x))
Eq(F_365(x), F_366(x))
Eq(F_366(x), F_0(x)*F_18(x)*F_367(x))
Eq(F_367(x), F_13(x) + F_365(x))
Eq(F_368(x), F_369(x))
Eq(F_369(x), F_0(x)*F_370(x)*F_383(x))
Eq(F_370(x), -F_10(x) + F_371(x))
Eq(F_371(x), F_372(x)/F_76(x))
Eq(F_372(x), F_373(x) - F_380(x))
Eq(F_373(x), F_374(x) + F_375(x))
Eq(F_374(x), F_10(x)*F_78(x))
Eq(F_375(x), F_376(x))
Eq(F_376(x), F_18(x)*F_377(x))
Eq(F_377(x), F_367(x) + F_378(x))
Eq(F_378(x), F_379(x))
Eq(F_379(x), F_0(x)*F_371(x)*F_76(x))
Eq(F_380(x), F_10(x) + F_381(x))
Eq(F_381(x), F_382(x))
Eq(F_382(x), F_18(x)*F_367(x))
Eq(F_383(x), F_384(x)/F_76(x))
Eq(F_384(x), -F_27(x) + F_385(x))
Eq(F_385(x), F_386(x)/F_36(x))
Eq(F_386(x), F_387(x))
Eq(F_387(x), F_388(x) - F_506(x))
Eq(F_388(x), F_389(x) - F_391(x))
Eq(F_389(x), F_390(x)/F_18(x))
Eq(F_390(x), F_33(x))
Eq(F_391(x), F_392(x) + F_499(x))
Eq(F_392(x), F_2(x)*F_393(x))
Eq(F_393(x), F_394(x) + F_81(x))
Eq(F_394(x), F_395(x) + F_436(x))
Eq(F_395(x), F_396(x))
Eq(F_396(x), F_18(x)*F_397(x))
Eq(F_397(x), F_398(x) + F_399(x))
Eq(F_398(x), F_18(x) + F_395(x))
Eq(F_399(x), F_400(x) + F_412(x))
Eq(F_400(x), F_401(x))
Eq(F_401(x), F_18(x)*F_402(x))
Eq(F_402(x), F_403(x) + F_406(x))
Eq(F_403(x), F_18(x) + F_404(x))
Eq(F_404(x), F_405(x))
Eq(F_405(x), F_18(x)*F_403(x))
Eq(F_406(x), F_407(x) + F_409(x))
Eq(F_407(x), F_408(x))
Eq(F_408(x), x**2)
Eq(F_409(x), F_410(x) + F_411(x) + 2*F_50(x))
Eq(F_410(x), F_18(x)*F_404(x))
Eq(F_411(x), F_18(x)*F_406(x))
Eq(F_412(x), F_413(x) + F_418(x) + 2*F_50(x))
Eq(F_413(x), F_18(x)*F_414(x))
Eq(F_414(x), F_415(x) + F_431(x))
Eq(F_415(x), F_395(x) + F_416(x))
Eq(F_416(x), F_417(x) + F_418(x) + 2*F_50(x))
Eq(F_417(x), F_18(x)*F_415(x))
Eq(F_418(x), F_18(x)*F_419(x))
Eq(F_419(x), F_420(x) + F_423(x))
Eq(F_420(x), F_407(x) + F_421(x))
Eq(F_421(x), F_418(x) + F_422(x) + 2*F_50(x))
Eq(F_422(x), F_18(x)*F_395(x))
Eq(F_423(x), F_424(x) + F_427(x))
Eq(F_424(x), F_410(x) + F_425(x) + 2*F_50(x))
Eq(F_425(x), F_18(x)*F_426(x))
Eq(F_426(x), F_406(x))
Eq(F_427(x), F_428(x) + F_429(x) + F_435(x) + 2*F_50(x))
Eq(F_428(x), F_18(x)*F_416(x))
Eq(F_429(x), F_18(x)*F_430(x))
Eq(F_430(x), F_431(x))
Eq(F_431(x), F_432(x) + F_433(x))
Eq(F_432(x), F_422(x))
Eq(F_433(x), F_428(x) + F_434(x) + 3*F_50(x))
Eq(F_434(x), F_18(x)*F_431(x))
Eq(F_435(x), 0)
Eq(F_436(x), F_437(x) + F_494(x) + 2*F_50(x))
Eq(F_437(x), F_18(x)*F_438(x))
Eq(F_438(x), F_439(x) + F_440(x))
Eq(F_439(x), F_436(x) + F_79(x))
Eq(F_440(x), F_441(x) + F_455(x))
Eq(F_441(x), F_442(x) + F_447(x) + 2*F_50(x))
Eq(F_442(x), F_18(x)*F_443(x))
Eq(F_443(x), F_444(x) + F_451(x))
Eq(F_444(x), F_445(x) + F_79(x))
Eq(F_445(x), F_446(x) + F_447(x) + 2*F_50(x))
Eq(F_446(x), F_18(x)*F_444(x))
Eq(F_447(x), F_18(x)*F_448(x))
Eq(F_448(x), F_407(x) + F_449(x))
Eq(F_449(x), F_450(x))
Eq(F_450(x), F_18(x)*F_79(x))
Eq(F_451(x), F_449(x) + F_452(x))
Eq(F_452(x), F_453(x) + F_454(x) + 3*F_50(x))
Eq(F_453(x), F_18(x)*F_445(x))
Eq(F_454(x), F_18(x)*F_451(x))
Eq(F_455(x), F_456(x) + F_461(x) + F_467(x) + 2*F_50(x))
Eq(F_456(x), F_18(x)*F_457(x))
Eq(F_457(x), F_458(x) + F_488(x))
Eq(F_458(x), F_436(x) + F_459(x))
Eq(F_459(x), F_460(x) + F_461(x) + F_467(x) + 2*F_50(x))
Eq(F_460(x), F_18(x)*F_458(x))
Eq(F_461(x), F_18(x)*F_462(x))
Eq(F_462(x), F_463(x) + F_479(x))
Eq(F_463(x), F_464(x) + F_465(x))
Eq(F_464(x), F_447(x) + F_450(x) + 2*F_50(x))
Eq(F_465(x), F_461(x) + F_466(x) + F_467(x) + 2*F_50(x))
Eq(F_466(x), F_18(x)*F_436(x))
Eq(F_467(x), F_18(x)*F_468(x))
Eq(F_468(x), F_424(x) + F_469(x))
Eq(F_469(x), F_470(x) + F_474(x) + 3*F_50(x))
Eq(F_470(x), F_18(x)*F_471(x))
Eq(F_471(x), F_472(x))
Eq(F_472(x), F_18(x)*F_473(x))
Eq(F_473(x), F_471(x) + F_79(x))
Eq(F_474(x), F_18(x)*F_475(x))
Eq(F_475(x), F_476(x))
Eq(F_476(x), F_449(x) + F_477(x))
Eq(F_477(x), F_470(x) + F_478(x) + 3*F_50(x))
Eq(F_478(x), F_18(x)*F_476(x))
Eq(F_479(x), F_480(x) + F_484(x))
Eq(F_480(x), F_453(x) + F_481(x) + F_483(x) + 2*F_50(x))
Eq(F_481(x), F_18(x)*F_482(x))
Eq(F_482(x), F_451(x))
Eq(F_483(x), 0)
Eq(F_484(x), F_485(x) + F_486(x) + F_492(x) + F_493(x) + 2*F_50(x))
Eq(F_485(x), F_18(x)*F_459(x))
Eq(F_486(x), F_18(x)*F_487(x))
Eq(F_487(x), F_488(x))
Eq(F_488(x), F_489(x) + F_490(x))
Eq(F_489(x), F_466(x))
Eq(F_490(x), F_485(x) + F_491(x) + 4*F_50(x))
Eq(F_491(x), F_18(x)*F_488(x))
Eq(F_492(x), 0)
Eq(F_493(x), 0)
Eq(F_494(x), F_18(x)*F_495(x))
Eq(F_495(x), F_400(x) + F_496(x))
Eq(F_496(x), F_497(x))
Eq(F_497(x), F_18(x)*F_498(x))
Eq(F_498(x), F_473(x) + F_476(x))
Eq(F_499(x), F_500(x))
Eq(F_500(x), F_36(x)*F_501(x))
Eq(F_501(x), F_502(x))
Eq(F_502(x), F_0(x)*F_18(x)*F_503(x)*F_78(x))
Eq(F_503(x), F_504(x) + F_81(x))
Eq(F_504(x), F_505(x))
Eq(F_505(x), x**2)
Eq(F_506(x), F_2(x)*F_507(x))
Eq(F_507(x), F_177(x) + F_99(x))
Eq(F_508(x), F_509(x))
Eq(F_509(x), F_0(x)*F_510(x))
Eq(F_510(x), F_511(x) - F_518(x))
Eq(F_511(x), F_512(x)/F_18(x))
Eq(F_512(x), F_513(x))
Eq(F_513(x), F_18(x)*F_341(x)*F_514(x))
Eq(F_514(x), F_515(x) + F_516(x))
Eq(F_515(x), F_2(x)*F_78(x))
Eq(F_516(x), F_517(x))
Eq(F_517(x), F_18(x)*F_377(x))
Eq(F_518(x), F_519(x))
Eq(F_519(x), F_10(x)*F_341(x)*F_76(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, 2, 4, 3, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [0, 4, 2, 1, 3], [0, 4, 3, 1, 2], [0, 4, 3, 2, 1], [1, 3, 4, 0, 2], [1, 4, 2, 0, 3], [1, 4, 3, 0, 2], [2, 4, 1, 0, 3]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 4, 3, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [0, 4, 2, 1, 3], [0, 4, 3, 1, 2], [0, 4, 3, 2, 1], [1, 3, 4, 0, 2], [1, 4, 2, 0, 3], [1, 4, 3, 0, 2], [2, 4, 1, 0, 3]], "symmetry": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 4, 3, 1], "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, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 4, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 4, 2, 0, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 4, 3, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 4, 1, 0, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": 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