02341_02413_02431_03241_03421_04213_04231_04321_30241_30421
Counting sequence:
1, 1, 2, 6, 24, 110, 540, 2762, 14539, 78236, 428482, 2380853, 13389383, 76068459, 435937577, 2517138965, 14629776532, 85521335684, 502497519336, 2966045949613, 17579415924432, 104578162246995, 624221661932913, 3737393952178107, 22439771972123562, 135079216108093669, 815064057509979186, 4928905550378813701, 29867277375537968677, 181328155285882444097, 1102817552899617976007, 6718320413669708477809, 40991228005851501460835, 250468464585751400087416, 1532531820646166405940393, 9389142727155106779110544, 57593163527534475696147964, 353684165190371039743887559, 2174369877515346681538200603, 13381347627871646523916939936, 82431321244369925740793723365, 508264377225517963151182197947, 3136697406922114523242867803404, 19374166423901236476414020616243, 119763375267855785239115592240172, 740900542034661496709128157527571, 4586865437646708421565235050341960, 28417021176248301633317477728927606, 176171111330168163496800476123942396, 1092879679096529271087229141792311934, 6783911497839683684736717307146475996, 42135435479261180274913329562389720330, 261857028769954197722476962291829945270, 1628249444264282887008817471679776864735, 10129981314982773378963005571927464080540, 63054907544723210764723156890544213673606, 392684430403730039849362303067149727340042, 2446670198205902966416907244515679198089330, 15251303311737442845397109805538445003116627, 95111152426690018961648312677504447188165030, 593392995073209636922422654273105228002092335, 3703682238260223376005372486832513401727651785, 23125945660088255220365865348297812531454549704, 144455535294460952025366038332413994152813948570, 902677192723506053456726195238072113210156630412, 5642730152302931668127311608592142116329913671836, 35285785704288830036855001012786703461969596166114, 220728995050239267962150045543901652932007101761851, 1381222527630204250214007740498663963947636683905013, 8645863529380118094438336751857773752925210931005359, 54136418373459155280207656648742267749989464003130443, 339080816237133171574974985997417776413229210556141378, 2124446381055640010399896739816358403136351166000882464, 13314155778089600998377230267827617250985548559270567085, 83464807112673329058773172426962241372506571967046713563, 523373569627739487909252259412361245592158844694467178806, 3282733859501981696228991529170488309778281338308745603804, 20595485874466609787808496670328060681212982799594000161724, 129246261645871663429671706981008127783552455423854832224951, 811279928806590801852563552610121115366030967519991148985136, 5093632207520221076689115607094339439115784492290442527603161, 31987917058090215488592561074233401995522657678666271475896066, 200929349566690653151425614498355348251372165465971156216874459, 1262401309978917389788330493273359772524349580735881683286161577, 7933152885105217332723945920525214493645000041745935098012400647, 49863907798766032551876835185865211479980629641504706002381670870, 313484985963493469236427677005767098787048233701905490350209571661, 1971219791969600184465260521774463772711870082581674408656336336073, 12397645707332655754071858497492939255531098575288836828513557079736, 77987916488237413599681102243647305976307228809747053239013479868433, 490678996219144658964282766709799478615283068713228763854303723195049, 3087790741126861918317529934307835823281221993349099995123934676587686, 19434650879767694662803713348616254054304408512490551985127608646850070, 122343928454702979391655296572604916137723010041318882032704679344615864, 770305952935346430467864382027716553199503471478008730984701370511414188, 4850847843903122923349944699164164309320214100377435581389233474248118653, 30552311789319303579966392656307337432127780639560050306920391347909463190, 192460246680360041032530690435126899290266901811847103943960917856655878333, 1212570753678297176550405204894138148298618968948066493867204335674335762722, 7640835137831485591793877384611072397958345124924807563744454032455715630353, 48154945895355230029915024102878038996188197438037497962948931875634529715029
Implicit equation for the generating function in Maple syntax:
(9*x^3-18*x^2+x-3)*x^2*F(x)^7-x^2*(15*x^3-25*x^2-6*x-26)*F(x)^6+(5*x^5-2*x^4-3*x^3-88*x^2+x-1)*F(x)^5+(x^5-3*x^4-18*x^3+127*x^2-3*x+10)*F(x)^4+(-x^4+6*x^3-60*x^2+4*x-36)*F(x)^3+(2*x^3+9*x^2-18*x+54)*F(x)^2+(x^2+7*x-27)*F(x)+x = 0
Implicit equation for the generating function in latex syntax:
\left(9 x^{3}-18 x^{2}+x -3\right) x^{2} F \! \left(x \right)^{7}-x^{2} \left(15 x^{3}-25 x^{2}-6 x -26\right) F \! \left(x \right)^{6}+\left(5 x^{5}-2 x^{4}-3 x^{3}-88 x^{2}+x -1\right) F \! \left(x \right)^{5}+\left(x^{5}-3 x^{4}-18 x^{3}+127 x^{2}-3 x +10\right) F \! \left(x \right)^{4}+\left(-x^{4}+6 x^{3}-60 x^{2}+4 x -36\right) F \! \left(x \right)^{3}+\left(2 x^{3}+9 x^{2}-18 x +54\right) F \! \left(x \right)^{2}+\left(x^{2}+7 x -27\right) F \! \left(x \right)+x = 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) = 540
a(7) = 2762
a(8) = 14539
a(9) = 78236
a(10) = 428482
a(11) = 2380853
a(12) = 13389383
a(13) = 76068459
a(14) = 435937577
a(15) = 2517138965
a(16) = 14629776532
a(17) = 85521335684
a(18) = 502497519336
a(19) = 2966045949613
a(20) = 17579415924432
a(21) = 104578162246995
a(22) = 624221661932913
a(23) = 3737393952178107
a(24) = 22439771972123562
a(25) = 135079216108093669
a(26) = 815064057509979186
a(27) = 4928905550378813701
a(28) = 29867277375537968677
a(29) = 181328155285882444097
a(30) = 1102817552899617976007
a(31) = 6718320413669708477809
a(32) = 40991228005851501460835
a(33) = 250468464585751400087416
a(34) = 1532531820646166405940393
a(35) = 9389142727155106779110544
a(36) = 57593163527534475696147964
a(37) = 353684165190371039743887559
a(38) = 2174369877515346681538200603
a(39) = 13381347627871646523916939936
a(40) = 82431321244369925740793723365
a(41) = 508264377225517963151182197947
a(42) = 3136697406922114523242867803404
a(43) = 19374166423901236476414020616243
a(44) = 119763375267855785239115592240172
a(45) = 740900542034661496709128157527571
a(46) = 4586865437646708421565235050341960
a(47) = 28417021176248301633317477728927606
a(48) = 176171111330168163496800476123942396
a(49) = 1092879679096529271087229141792311934
a(50) = 6783911497839683684736717307146475996
a(51) = 42135435479261180274913329562389720330
a(52) = 261857028769954197722476962291829945270
a(53) = 1628249444264282887008817471679776864735
a(54) = 10129981314982773378963005571927464080540
a(55) = 63054907544723210764723156890544213673606
a(56) = 392684430403730039849362303067149727340042
a(57) = 2446670198205902966416907244515679198089330
a(58) = 15251303311737442845397109805538445003116627
a(59) = 95111152426690018961648312677504447188165030
a(60) = 593392995073209636922422654273105228002092335
a(61) = 3703682238260223376005372486832513401727651785
a(62) = 23125945660088255220365865348297812531454549704
a(63) = 144455535294460952025366038332413994152813948570
a(64) = 902677192723506053456726195238072113210156630412
a(65) = 5642730152302931668127311608592142116329913671836
a(66) = 35285785704288830036855001012786703461969596166114
a(67) = 220728995050239267962150045543901652932007101761851
a(68) = 1381222527630204250214007740498663963947636683905013
a(69) = 8645863529380118094438336751857773752925210931005359
a(70) = 54136418373459155280207656648742267749989464003130443
a(71) = 339080816237133171574974985997417776413229210556141378
a(72) = 2124446381055640010399896739816358403136351166000882464
a(73) = 13314155778089600998377230267827617250985548559270567085
a(74) = 83464807112673329058773172426962241372506571967046713563
a(75) = 523373569627739487909252259412361245592158844694467178806
a(76) = 3282733859501981696228991529170488309778281338308745603804
a(77) = 20595485874466609787808496670328060681212982799594000161724
a(78) = 129246261645871663429671706981008127783552455423854832224951
a(79) = 811279928806590801852563552610121115366030967519991148985136
a(80) = 5093632207520221076689115607094339439115784492290442527603161
a(81) = 31987917058090215488592561074233401995522657678666271475896066
a(82) = 200929349566690653151425614498355348251372165465971156216874459
a(83) = 1262401309978917389788330493273359772524349580735881683286161577
a(84) = 7933152885105217332723945920525214493645000041745935098012400647
a(85) = 49863907798766032551876835185865211479980629641504706002381670870
a(86) = 313484985963493469236427677005767098787048233701905490350209571661
a(87) = 1971219791969600184465260521774463772711870082581674408656336336073
a(88) = 12397645707332655754071858497492939255531098575288836828513557079736
a(89) = 77987916488237413599681102243647305976307228809747053239013479868433
a(90) = 490678996219144658964282766709799478615283068713228763854303723195049
a(n+91) = -1/12171184013430*(515132437405321867*n^4+180910225571795921844*n^3+23825598969304490996949*n^2+1394593375720412758931164*n+30611778919234258928509152)/(n+91)/(n+92)/(3*n+271)/(3*n+272)*a(n+89)-1/147188990936888948736*(n+4)*(n+5)*(32087466619041827505321025262006*n^4+923138478400298288459686211279433*n^3+9915288727330894866823806727613863*n^2+47121202169748229860009956903016858*n+83589245207191668029674990680824832)/(3*n+272)/(3*n+271)/(n+92)/(n+91)/(n+90)/(n+89)*a(n+4)+5/49062996978962982912*(n+3)*(n+4)*(n+5)*(129499105711344139595648468557*n^3+2630272169749530530833084375545*n^2+17737198503559339223730126909146*n+39709202565131954047658409437568)/(3*n+272)/(3*n+271)/(n+92)/(n+91)/(n+90)/(n+89)*a(n+3)-330596973697832246875/1774558629158094*n*(n+5)*(n+4)*(n+3)*(n+2)*(n+1)/(3*n+272)/(3*n+271)/(n+92)/(n+91)/(n+90)/(n+89)*a(n)+125/170357628399177024*(20227198098987163912193*n+119230394257462523801511)*(n+5)*(n+4)*(n+3)*(n+2)*(n+1)/(3*n+272)/(3*n+271)/(n+92)/(n+91)/(n+90)/(n+89)*a(n+1)+1/50087177010*(21754980365769*n^3+5827914091828809*n^2+520405770399729884*n+15489789408263246304)/(n+92)/(3*n+271)/(3*n+272)*a(n+90)-25/340715256798354048*(n+5)*(n+4)*(n+3)*(n+2)*(7603452826760743041105422*n^2+96293610652163918881624958*n+303788461512476442736287981)/(3*n+272)/(3*n+271)/(n+92)/(n+91)/(n+90)/(n+89)*a(n+2)+1/1287609292715904523542528*(36375148941242025396848741444609882726743020562896274535*n^6+8714791112751952755994580831446873614062528949685300399943*n^5+869907813956167147471710692429073657756560035057921378828391*n^4+46309628020014009310810445487500271547551956193206199571785201*n^3+1386704213756129986929460930628409604444333849270989243023805602*n^2+22146090332225955032614746968573202787292767796553293104658576776*n+147371060625091261533283825968556062964130409163599851987649768144)/(3*n+272)/(3*n+271)/(n+92)/(n+91)/(n+90)/(n+89)*a(n+40)-1/6438046463579522617712640*(254882269574199906044520979565906280152494238178806206363*n^6+62637748771472625154384689187655498967827221783902676632813*n^5+6413436758896121979006767535700432437666989932665840185118545*n^4+350201190244854304584561326818748378451687722701572486744301895*n^3+10755858285515456801025806119827721427406266291499407527207899012*n^2+176179299608700737476124230990821313812483132748270810530220536892*n+1202384531550065440675048961669639174096088223977983448586603670640)/(3*n+272)/(3*n+271)/(n+92)/(n+91)/(n+90)/(n+89)*a(n+41)+1/6438046463579522617712640*(341994715585959523925253931459271351056429105902491240853*n^6+86168158369125077455527414726948189852914255206196067057475*n^5+9045437771907496495891707533109929754938371146410829938243765*n^4+506382417136838678983531986312172658959941237538382581316556645*n^3+15944799769076854542520298669220012182644309003122472795115580622*n^2+267749712876459288196305962844723775316230900958126338100379426800*n+1873272062272532382010467543797440566312372959926610097671131303200)/(3*n+272)/(3*n+271)/(n+92)/(n+91)/(n+90)/(n+89)*a(n+42)-1/9657069695369283926568960*(658159438745396397838104076121336448790272753611766163984*n^6+169902198367888828770549893476328972751652347955407459992772*n^5+18273464903753692774041918285798513411479311200297008767362745*n^4+1048106496441542300599325222537751210456044651615163510167364090*n^3+33812338702613902191676668685682342867283062702388053647136129551*n^2+581708846582904977655343195541107194455049677862137183784204815298*n+4169522156734194163662288365342060809432272478170201093304007542440)/(3*n+272)/(3*n+271)/(n+92)/(n+91)/(n+90)/(n+89)*a(n+43)-1/9657069695369283926568960*(74300718647488873447929962754033396655700484558627103330*n^6+16464742789145412411409954635333001135031755835609292647913*n^5+1520405568627131779904442665975261576018549684664272060879140*n^4+74892752752118365577486028734408043073108828946711816645541435*n^3+2075608087060750829545995661257321962782880982140131464924854110*n^2+30688822263650604531402471608595686720493627649043511875458461192*n+189131836254305060725943496774495046278417934019290408973692034160)/(3*n+272)/(3*n+271)/(n+92)/(n+91)/(n+90)/(n+89)*a(n+37)+1/9657069695369283926568960*(120711527274023702045184202339861608356680843999610988758*n^6+27459665966522790314786496456352975023098636264037234998067*n^5+2602806322786951435225840553969373551452155486393158553728345*n^4+131587890327517650760071629908394029432756428538397719798717995*n^3+3742489255278922511977818038823048018099736789317000686426530697*n^2+56777103595742589326438795182993861872632190190340504695384217298*n+358977521378596008182386297353576980674654146766233003913009443240)/(3*n+272)/(3*n+271)/(n+92)/(n+91)/(n+90)/(n+89)*a(n+38)-1/19314139390738567853137920*(372002706040063365251520311850217331710638502895496924947*n^6+86856184602236096292953851341384675983317771262166807241443*n^5+8449513542939727470774603270114464132805653175106190788988345*n^4+438390565480027157253591972873578758382248103344992242532817305*n^3+12794601420404133895728416462029044218367896222795566611625942028*n^2+19916814408664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9417270028948673160576379681529207410554806439991421097*n^5+34389661116351273764454397014994806111943622502619901389127245*n^4+2565739370136304499907530511828855034966542243821865278696476935*n^3+107647883267183301097855534673297955711506338656950139452312332678*n^2+2408145351469577054600163271366457118464024994866308218946731410208*n+22440561202008100845425980772701966596541411011284487232725856849920)/(3*n+272)/(3*n+271)/(n+92)/(n+91)/(n+90)/(n+89)*a(n+55)+1/2146015487859840872570880*(1894423592509062907103228983913135075475293281*n^6+189276017498781215384895164536187291338398272803*n^5+7853644497437329260782708069301291483608758455325*n^4+173242456542145531439995719485243398177876848359365*n^3+2142925461554402746105730438071994050317558765319234*n^2+14094241153114191179998937731118922126176672791067272*n+38510733641394562537371411107696351608067763696316080)/(3*n+272)/(3*n+271)/(n+92)/(n+91)/(n+90)/(n+89)*a(n+14)-1/643804646357952261771264*(2924341803056738667993959335830517689002894618*n^6+308915051399221946783095130870140957320806889468*n^5+13559309224035511841877538118649405975878028651167*n^4+316559813425682291361487043547780926777267619668202*n^3+4146111279924597410763534603030654963770190225829283*n^2+28886375590579875368208926630555566711833689010047982*n+83642223114565623183954249022767292072191159737270064)/(3*n+272)/(3*n+271)/(n+92)/(n+91)/(n+90)/(n+89)*a(n+15)+1/3862827878147713570627584*(80938333070776131076997017395574230851824735357*n^6+9013160682538171497587417294710916036869397318139*n^5+417264440787732237423658464145725157239656035445761*n^4+10279382596949070415921195944838720672370800137840213*n^3+142125805362114419451749065977391897962153794009094778*n^2+1045716358497267448134031438178417308314193162544876856*n+3198828373072264993281600667417141166923071167056413360)/(3*n+272)/(3*n+271)/(n+92)/(n+91)/(n+90)/(n+89)*a(n+16)-1/9657069695369283926568960*(844755603731611148731317115105621238108450033605*n^6+98873630387145763197170913207819365423177789020908*n^5+4813766800183472589877302371826686979692849433001240*n^4+124774652775478654386253472749161390279758292282328530*n^3+1815973013035829030410826476256619259559062107476696635*n^2+14070154663604089699849727554513209714672928804139499042*n+45339750327515006622078324912422076837793503862208606280)/(3*n+272)/(3*n+271)/(n+92)/(n+91)/(n+90)/(n+89)*a(n+17)+1/19314139390738567853137920*(6444223090596487569658478301244912641733013577427*n^6+790383134625512485779686740039939901791448629958733*n^5+40350268840298195655370272959888356958727636554487955*n^4+1097343904008720236584017370849531462127909062868194275*n^3+16764891727800201678800147453474644853160291423758831458*n^2+136413951853091349490244234740291261481374038391918337352*n+461826360943718274496648299525303481820163244645817829840)/(3*n+272)/(3*n+271)/(n+92)/(n+91)/(n+90)/(n+89)*a(n+18)+1/294377981873777897472*(n+5)*(760723405211021812758109421644581*n^5+28770092317311473520869625541513416*n^4+433062516719026219418155983958815355*n^3+3243370360799914417617882613242590420*n^2+12085718704072937784602357672026442044*n+17923828474788768314559994300227308544)/(3*n+272)/(3*n+271)/(n+92)/(n+91)/(n+90)/(n+89)*a(n+5), n >= 91
Recurrence in latex format:
a(0) = 1
a(1) = 1
a(2) = 2
a(3) = 6
a(4) = 24
a(5) = 110
a(6) = 540
a(7) = 2762
a(8) = 14539
a(9) = 78236
a(10) = 428482
a(11) = 2380853
a(12) = 13389383
a(13) = 76068459
a(14) = 435937577
a(15) = 2517138965
a(16) = 14629776532
a(17) = 85521335684
a(18) = 502497519336
a(19) = 2966045949613
a(20) = 17579415924432
a(21) = 104578162246995
a(22) = 624221661932913
a(23) = 3737393952178107
a(24) = 22439771972123562
a(25) = 135079216108093669
a(26) = 815064057509979186
a(27) = 4928905550378813701
a(28) = 29867277375537968677
a(29) = 181328155285882444097
a(30) = 1102817552899617976007
a(31) = 6718320413669708477809
a(32) = 40991228005851501460835
a(33) = 250468464585751400087416
a(34) = 1532531820646166405940393
a(35) = 9389142727155106779110544
a(36) = 57593163527534475696147964
a(37) = 353684165190371039743887559
a(38) = 2174369877515346681538200603
a(39) = 13381347627871646523916939936
a(40) = 82431321244369925740793723365
a(41) = 508264377225517963151182197947
a(42) = 3136697406922114523242867803404
a(43) = 19374166423901236476414020616243
a(44) = 119763375267855785239115592240172
a(45) = 740900542034661496709128157527571
a(46) = 4586865437646708421565235050341960
a(47) = 28417021176248301633317477728927606
a(48) = 176171111330168163496800476123942396
a(49) = 1092879679096529271087229141792311934
a(50) = 6783911497839683684736717307146475996
a(51) = 42135435479261180274913329562389720330
a(52) = 261857028769954197722476962291829945270
a(53) = 1628249444264282887008817471679776864735
a(54) = 10129981314982773378963005571927464080540
a(55) = 63054907544723210764723156890544213673606
a(56) = 392684430403730039849362303067149727340042
a(57) = 2446670198205902966416907244515679198089330
a(58) = 15251303311737442845397109805538445003116627
a(59) = 95111152426690018961648312677504447188165030
a(60) = 593392995073209636922422654273105228002092335
a(61) = 3703682238260223376005372486832513401727651785
a(62) = 23125945660088255220365865348297812531454549704
a(63) = 144455535294460952025366038332413994152813948570
a(64) = 902677192723506053456726195238072113210156630412
a(65) = 5642730152302931668127311608592142116329913671836
a(66) = 35285785704288830036855001012786703461969596166114
a(67) = 220728995050239267962150045543901652932007101761851
a(68) = 1381222527630204250214007740498663963947636683905013
a(69) = 8645863529380118094438336751857773752925210931005359
a(70) = 54136418373459155280207656648742267749989464003130443
a(71) = 339080816237133171574974985997417776413229210556141378
a(72) = 2124446381055640010399896739816358403136351166000882464
a(73) = 13314155778089600998377230267827617250985548559270567085
a(74) = 83464807112673329058773172426962241372506571967046713563
a(75) = 523373569627739487909252259412361245592158844694467178806
a(76) = 3282733859501981696228991529170488309778281338308745603804
a(77) = 20595485874466609787808496670328060681212982799594000161724
a(78) = 129246261645871663429671706981008127783552455423854832224951
a(79) = 811279928806590801852563552610121115366030967519991148985136
a(80) = 5093632207520221076689115607094339439115784492290442527603161
a(81) = 31987917058090215488592561074233401995522657678666271475896066
a(82) = 200929349566690653151425614498355348251372165465971156216874459
a(83) = 1262401309978917389788330493273359772524349580735881683286161577
a(84) = 7933152885105217332723945920525214493645000041745935098012400647
a(85) = 49863907798766032551876835185865211479980629641504706002381670870
a(86) = 313484985963493469236427677005767098787048233701905490350209571661
a(87) = 1971219791969600184465260521774463772711870082581674408656336336073
a(88) = 12397645707332655754071858497492939255531098575288836828513557079736
a(89) = 77987916488237413599681102243647305976307228809747053239013479868433
a(90) = 490678996219144658964282766709799478615283068713228763854303723195049
a{\left(n + 91 \right)} = - \frac{330596973697832246875 n \left(n + 1\right) \left(n + 2\right) \left(n + 3\right) \left(n + 4\right) \left(n + 5\right) a{\left(n \right)}}{1774558629158094 \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right) \left(3 n + 271\right) \left(3 n + 272\right)} + \frac{125 \left(n + 1\right) \left(n + 2\right) \left(n + 3\right) \left(n + 4\right) \left(n + 5\right) \left(20227198098987163912193 n + 119230394257462523801511\right) a{\left(n + 1 \right)}}{170357628399177024 \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right) \left(3 n + 271\right) \left(3 n + 272\right)} - \frac{25 \left(n + 2\right) \left(n + 3\right) \left(n + 4\right) \left(n + 5\right) \left(7603452826760743041105422 n^{2} + 96293610652163918881624958 n + 303788461512476442736287981\right) a{\left(n + 2 \right)}}{340715256798354048 \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right) \left(3 n + 271\right) \left(3 n + 272\right)} + \frac{5 \left(n + 3\right) \left(n + 4\right) \left(n + 5\right) \left(129499105711344139595648468557 n^{3} + 2630272169749530530833084375545 n^{2} + 17737198503559339223730126909146 n + 39709202565131954047658409437568\right) a{\left(n + 3 \right)}}{49062996978962982912 \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right) \left(3 n + 271\right) \left(3 n + 272\right)} - \frac{\left(n + 4\right) \left(n + 5\right) \left(32087466619041827505321025262006 n^{4} + 923138478400298288459686211279433 n^{3} + 9915288727330894866823806727613863 n^{2} + 47121202169748229860009956903016858 n + 83589245207191668029674990680824832\right) a{\left(n + 4 \right)}}{147188990936888948736 \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right) \left(3 n + 271\right) \left(3 n + 272\right)} + \frac{\left(n + 5\right) \left(760723405211021812758109421644581 n^{5} + 28770092317311473520869625541513416 n^{4} + 433062516719026219418155983958815355 n^{3} + 3243370360799914417617882613242590420 n^{2} + 12085718704072937784602357672026442044 n + 17923828474788768314559994300227308544\right) a{\left(n + 5 \right)}}{294377981873777897472 \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right) \left(3 n + 271\right) \left(3 n + 272\right)} + \frac{\left(21754980365769 n^{3} + 5827914091828809 n^{2} + 520405770399729884 n + 15489789408263246304\right) a{\left(n + 90 \right)}}{50087177010 \left(n + 92\right) \left(3 n + 271\right) \left(3 n + 272\right)} - \frac{\left(515132437405321867 n^{4} + 180910225571795921844 n^{3} + 23825598969304490996949 n^{2} + 1394593375720412758931164 n + 30611778919234258928509152\right) a{\left(n + 89 \right)}}{12171184013430 \left(n + 91\right) \left(n + 92\right) \left(3 n + 271\right) \left(3 n + 272\right)} + \frac{\left(4462405827106720818493 n^{5} + 1935073853913146786771330 n^{4} + 335632253890005514901717675 n^{3} + 29105657617874834645907912910 n^{2} + 1261939786187900447234702341752 n + 21884530576553078479435469799360\right) a{\left(n + 88 \right)}}{657243936725220 \left(n + 90\right) \left(n + 91\right) \left(n + 92\right) \left(3 n + 271\right) \left(3 n + 272\right)} - \frac{\left(2322831794269756627337209 n^{6} + 1201513401490884922148463551 n^{5} + 258943843711829033116780968025 n^{4} + 29761756359426380508732146190425 n^{3} + 1924027301985396351603833597141566 n^{2} + 66334540197324320125769974789885304 n + 952870709231781504093536680234246080\right) a{\left(n + 87 \right)}}{7886927240702640 \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right) \left(3 n + 271\right) \left(3 n + 272\right)} + \frac{\left(2277492536530962214800938531 n^{6} + 1171773531612550130596280698621 n^{5} + 251186402509463482112614540251795 n^{4} + 28716022640687441029640470025620715 n^{3} + 1846511405085511309215821238490033114 n^{2} + 63322124613349461818553657789065666664 n + 904742095352691461719099938356671387200\right) a{\left(n + 86 \right)}}{425894070997942560 \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right) \left(3 n + 271\right) \left(3 n + 272\right)} - \frac{\left(100574538584915415889524031287 n^{6} + 52442933726549937060442909944803 n^{5} + 11385743661358202961674030957397385 n^{4} + 1317457168957104570216931521575298025 n^{3} + 85693952881224305357527719265579839128 n^{2} + 2970924993414573273051373451577825149052 n + 42890708010545635751098492789719193273200\right) a{\left(n + 85 \right)}}{2555364425987655360 \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right) \left(3 n + 271\right) \left(3 n + 272\right)} - \frac{\left(11852410857682977156021168130055 n^{6} + 5508040940315617668645944072992953 n^{5} + 1059173637424803111339645954448985195 n^{4} + 107735307250151743690378005081620410695 n^{3} + 6103037219807870764693698131646098297990 n^{2} + 182136344141082945346135551000583928172792 n + 2229904299680371305117288714717817849068480\right) a{\left(n + 84 \right)}}{45996559667777796480 \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right) \left(3 n + 271\right) \left(3 n + 272\right)} + \frac{\left(1494468428214128265060793563412165 n^{6} + 733660958336570769659619785501946576 n^{5} + 150010761702036601923193997566698495640 n^{4} + 16352065102211516642324175158947546775190 n^{3} + 1002222947527051169536060453786144435048075 n^{2} + 32746738322422428878483771535603095377964634 n + 445623028697479625220646815208980150871713240\right) a{\left(n + 83 \right)}}{137989679003333389440 \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right) \left(3 n + 271\right) \left(3 n + 272\right)} - \frac{\left(73908881175760153438410061097714858 n^{6} + 36266011736770456716483435552326033343 n^{5} + 7413628283288388568525745306902997295950 n^{4} + 808163519963548571079498905357438431288905 n^{3} + 49548269434385678550411049708530177099360092 n^{2} + 1619922751917148078154887186953220559862395772 n + 22064101005860139168249622286642192734303896720\right) a{\left(n + 82 \right)}}{413969037010000168320 \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right) \left(3 n + 271\right) \left(3 n + 272\right)} - \frac{\left(272683130830233492943043355014006791 n^{6} + 12697022585415363813882393465083925981 n^{5} + 244555105260198958750805327942516138185 n^{4} + 2494645845803249393330819226590115061335 n^{3} + 14217592314859739241385498743852264964984 n^{2} + 42933851683254070771162193413137671948724 n + 53679616494928231996838506310935513400880\right) a{\left(n + 6 \right)}}{13247009184320005386240 \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right) \left(3 n + 271\right) \left(3 n + 272\right)} + \frac{\left(4971654618186113923025707819063073185 n^{6} + 188388940424222306453470835814741525357 n^{5} + 2398116211547876702154493947128770423225 n^{4} + 6693332746306602924593623711629371350515 n^{3} - 100786262185213177196708836685987371252130 n^{2} - 866656815357373666156533527109294250190712 n - 2008792032952489046010492819115903791644160\right) a{\left(n + 7 \right)}}{79482055105920032317440 \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right) \left(3 n + 271\right) \left(3 n + 272\right)} + \frac{\left(28104076034282220256067156179015435261 n^{6} + 13533740490845495687512717443634556368929 n^{5} + 2715717700047142650435401029913102140692895 n^{4} + 290656502575393576929381748703218889779021755 n^{3} + 17499607285548226556711966763648651896293431364 n^{2} + 561960729670125694299613657329560171734088885316 n + 7519750002305822431239897081074045968617746500800\right) a{\left(n + 81 \right)}}{9935256888240004039680 \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right) \left(3 n + 271\right) \left(3 n + 272\right)} + \frac{\left(91821215166802133578190922613929397177 n^{6} + 6816376339301091635293886242942530134243 n^{5} + 202727261157367631886915513150004248984945 n^{4} + 3121807046275326552772942598126668467782605 n^{3} + 26410524988399913425454882526323469099570398 n^{2} + 116855485667642183508243842694978128578575192 n + 211853271614969394776509853735058793725543840\right) a{\left(n + 8 \right)}}{79482055105920032317440 \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right) \left(3 n + 271\right) \left(3 n + 272\right)} - \frac{\left(3121862826098550677403976198702451459821 n^{6} + 1473032940192949275799391640096253510022295 n^{5} + 289596821785601550475440593728012534974416725 n^{4} + 30364707524528201014119668590586971453638664545 n^{3} + 1790867889227953095206255989588350399132075036574 n^{2} + 56331943378586547538345450938280922132248649391720 n + 738302141184827351417114795760815419246617405870720\right) a{\left(n + 80 \right)}}{59611541329440024238080 \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right) \left(3 n + 271\right) \left(3 n + 272\right)} - \frac{\left(18332595245190196722411122558289360129695 n^{6} + 1350088374653246299746524838846489221513907 n^{5} + 40887814810917769397723831892297120970513775 n^{4} + 652709847384159627294916647013093122694834365 n^{3} + 5798703282709404308456552060302777267164665450 n^{2} + 27206622363785004122754188328691474409633728248 n + 52703836882370336877847011510448110497270814240\right) a{\left(n + 9 \right)}}{715338495953280290856960 \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right) \left(3 n + 271\right) \left(3 n + 272\right)} + \frac{\left(161507454269181484694624322304828523560598 n^{6} + 75305180430556325304715135496687167520707317 n^{5} + 14628890858586158931652928783526252448436969255 n^{4} + 1515522335764731067164998487616404565379540703405 n^{3} + 88308326134410552596265435685859343451849561014467 n^{2} + 2744136605292756946904014648448754014139621576345918 n + 35527512649989707425499386085513623741739937260398560\right) a{\left(n + 79 \right)}}{178834623988320072714240 \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right) \left(3 n + 271\right) \left(3 n + 272\right)} + \frac{\left(678078500281086373100965400215328154687323 n^{6} + 52856833201669985491426964280692510308358163 n^{5} + 1702917218360029683665005864260984612834015185 n^{4} + 29039411913348494719854768644579677096940781585 n^{3} + 276563834900940843195694640838970919451197376812 n^{2} + 1395250404472112301794167312425070180847576900052 n + 2913965106656557830015433494657661219608118518240\right) a{\left(n + 10 \right)}}{2146015487859840872570880 \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right) \left(3 n + 271\right) \left(3 n + 272\right)} - \frac{\left(3178673919787449549085759213703996337623158 n^{6} + 264223189510760127670420833961609537395295701 n^{5} + 9096971896442109848848550996334117612334675570 n^{4} + 166094006034376459303058487519980347049267238015 n^{3} + 1696570191335169738540843184006937191508698254952 n^{2} + 9194316650619460914333120721549456184963657060964 n + 20657040660667052353337260250815600664910237495840\right) a{\left(n + 11 \right)}}{1073007743929920436285440 \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right) \left(3 n + 271\right) \left(3 n + 272\right)} - \frac{\left(13043468314280512353935665163485439199504823 n^{6} + 6032263175180331815053598976243100190089929969 n^{5} + 1162304252619439207400906664529818780665117500255 n^{4} + 119432200655192099763828001898478169341137990463735 n^{3} + 6902535369223355983657139275877210166267124367084842 n^{2} + 212744030167163922314410279595638880028833145308034936 n + 2731853616503075920482029085382772426441392055460867360\right) a{\left(n + 78 \right)}}{1073007743929920436285440 \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right) \left(3 n + 271\right) \left(3 n + 272\right)} + \frac{\left(24613180641497695213828802221214462239199165 n^{6} + 2180771122370123427713155327007992670955520557 n^{5} + 80128030214601948199260239125791201733449094610 n^{4} + 1563078434753960382495417827966419775737823067045 n^{3} + 17076329353299345138479598451179109261940010054965 n^{2} + 99075430388333479412971431328019612875510329191178 n + 238529514980262740296809006540825064752565955401920\right) a{\left(n + 12 \right)}}{1073007743929920436285440 \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right) \left(3 n + 271\right) \left(3 n + 272\right)} + \frac{\left(193392036814791929079534948848974258572483130 n^{6} + 88820437298289857403873488925521469627092829399 n^{5} + 16995291680508673745140141825534789734517285714885 n^{4} + 1734185593951916241817661121356396031109196041084995 n^{3} + 99526201287276981227577337086372589389472105261906345 n^{2} + 3046002462063897250643934555783089405164181116398453366 n + 38838632552115707422223499809499205896591636166512095880\right) a{\left(n + 77 \right)}}{1609511615894880654428160 \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right) \left(3 n + 271\right) \left(3 n + 272\right)} - 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\frac{\left(2924341803056738667993959335830517689002894618 n^{6} + 308915051399221946783095130870140957320806889468 n^{5} + 13559309224035511841877538118649405975878028651167 n^{4} + 316559813425682291361487043547780926777267619668202 n^{3} + 4146111279924597410763534603030654963770190225829283 n^{2} + 28886375590579875368208926630555566711833689010047982 n + 83642223114565623183954249022767292072191159737270064\right) a{\left(n + 15 \right)}}{643804646357952261771264 \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right) \left(3 n + 271\right) \left(3 n + 272\right)} - \frac{\left(3953081393610026050260750405301680956092092587 n^{6} + 1807794267616076345088537312385644958052963780199 n^{5} + 344387350840761457321711926668335829401280256576020 n^{4} + 34981800728207141388221803475277309950561429650459455 n^{3} + 1998294611541991320026588362806239322544927377622455953 n^{2} + 60866341208884591485618970115574523589769595621207093146 n + 772301539075527741077433537821971463253370422831550185960\right) a{\left(n + 76 \right)}}{4828534847684641963284480 \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right) \left(3 n + 271\right) \left(3 n + 272\right)} + \frac{\left(9302986026894973395818629032807577364468048291 n^{6} + 4311738445806065166013620116636045449779425097327 n^{5} + 831434721535260596336109662971474559776086232831245 n^{4} + 85389549352561739093736918680518042961502764262752765 n^{3} + 4926589415762601293701729211221727357180522206020190264 n^{2} + 151413894161105122614833378643050101728954328722439644028 n + 1936804296135526369111402790415434315362235106163903868640\right) a{\left(n + 75 \right)}}{3219023231789761308856320 \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right) \left(3 n + 271\right) \left(3 n + 272\right)} + \frac{\left(80938333070776131076997017395574230851824735357 n^{6} + 9013160682538171497587417294710916036869397318139 n^{5} + 417264440787732237423658464145725157239656035445761 n^{4} + 10279382596949070415921195944838720672370800137840213 n^{3} + 142125805362114419451749065977391897962153794009094778 n^{2} + 1045716358497267448134031438178417308314193162544876856 n + 3198828373072264993281600667417141166923071167056413360\right) a{\left(n + 16 \right)}}{3862827878147713570627584 \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right) \left(3 n + 271\right) \left(3 n + 272\right)} + \frac{\left(113447690367548934145570950468936976897734608755 n^{6} + 46120372637704928015139366824292788038814833490367 n^{5} + 7756846517384512689346391623735174885829343208118995 n^{4} + 689899973348813156815348390932783686940264025300860465 n^{3} + 34161035396244283987111857632071434702153182505345839650 n^{2} + 890684745816394845697752890901969589551027743227531114488 n + 9520165877960728122290278117964670135539267133544518791040\right) a{\left(n + 74 \right)}}{9657069695369283926568960 \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right) \left(3 n + 271\right) \left(3 n + 272\right)} - 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\frac{\left(45528355744949750768617587652242934757899375947107653637 n^{6} + 16287604858550408301775271724557951380446258020822706170523 n^{5} + 2427151582247959201819125529101764263636979139861578646894365 n^{4} + 192842587754094953997725772734904759628530473924397979493198685 n^{3} + 8615700643667711575739069171786641756844449033013262062021129558 n^{2} + 205223395633059560109310981279727142902703026321689813450778541072 n + 2036066442007234028658723319626715874027046027824120816231160958800\right) a{\left(n + 60 \right)}}{19314139390738567853137920 \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right) \left(3 n + 271\right) \left(3 n + 272\right)} - \frac{\left(74300718647488873447929962754033396655700484558627103330 n^{6} + 16464742789145412411409954635333001135031755835609292647913 n^{5} + 1520405568627131779904442665975261576018549684664272060879140 n^{4} + 74892752752118365577486028734408043073108828946711816645541435 n^{3} + 2075608087060750829545995661257321962782880982140131464924854110 n^{2} + 30688822263650604531402471608595686720493627649043511875458461192 n + 189131836254305060725943496774495046278417934019290408973692034160\right) a{\left(n + 37 \right)}}{9657069695369283926568960 \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right) \left(3 n + 271\right) \left(3 n + 272\right)} + \frac{\left(92289097161040256744272205154834499307789992503380353880 n^{6} + 31868568927973917536746095374206318781030581797866260597587 n^{5} + 4584722975623126025588340678350614428154332135221700247780385 n^{4} + 351730106280008534421809132222758612048224609146439919132299105 n^{3} + 15176552506921136099640957679415592012251286369531433595866164695 n^{2} + 349202516508443088176398939406500354483815017478251396061743507328 n + 3347414242298099792417228208239441790452797846444123746139843441380\right) a{\left(n + 57 \right)}}{4828534847684641963284480 \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right) \left(3 n + 271\right) \left(3 n + 272\right)} + \frac{\left(120711527274023702045184202339861608356680843999610988758 n^{6} + 27459665966522790314786496456352975023098636264037234998067 n^{5} + 2602806322786951435225840553969373551452155486393158553728345 n^{4} + 131587890327517650760071629908394029432756428538397719798717995 n^{3} + 3742489255278922511977818038823048018099736789317000686426530697 n^{2} + 56777103595742589326438795182993861872632190190340504695384217298 n + 358977521378596008182386297353576980674654146766233003913009443240\right) a{\left(n + 38 \right)}}{9657069695369283926568960 \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right) \left(3 n + 271\right) \left(3 n + 272\right)} - \frac{\left(127127655488031445781856576963575414712071489183184233023 n^{6} + 36811337380466862884458811640376978243606071857445477801873 n^{5} + 4439660516689289345092848802069493728301605403514888979724585 n^{4} + 285460429036821658547168309982966473384312878412869709422845155 n^{3} + 10320126388159666504070381571327221549918048523660717315267408112 n^{2} + 198899724880784724756650029331956504834344606562268588482713871412 n + 1596518992353372763790797974600869355657897815706010515900994574960\right) a{\left(n + 49 \right)}}{2146015487859840872570880 \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right) \left(3 n + 271\right) \left(3 n + 272\right)} - \frac{\left(213841040990926341933481944848889604755236995925258648795 n^{6} + 74828432121972754743161389894804870584342868962420126898887 n^{5} + 10909035882629765334267718350401080782513272112849579559194755 n^{4} + 848119492904158407232398061186138930031431077768246266616943665 n^{3} + 37085074043150937827752808865943022514525248541229337492349731450 n^{2} + 864739716069030957628981747558080111251399883412003492051502988048 n + 8400443039757396507156634474660879925106859068441062365466306195520\right) a{\left(n + 58 \right)}}{19314139390738567853137920 \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right) \left(3 n + 271\right) \left(3 n + 272\right)} - \frac{\left(237401411906423596415448820220210287196060484624353091299 n^{6} + 66804205320129657403837056914645233531551023474741072500977 n^{5} + 7832038652062484738128693778206881132479196999156708254185820 n^{4} + 489668443041364757723945593718184391765239083887454303335229610 n^{3} + 17218895545068190686056688695174818231263454877538919237506357461 n^{2} + 322891322205352664845856411785546814153435807610287742437451229653 n + 2522558443452464898596921805638404818088337914539163301173256671620\right) a{\left(n + 47 \right)}}{2414267423842320981642240 \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right) \left(3 n + 271\right) \left(3 n + 272\right)} - \frac{\left(254882269574199906044520979565906280152494238178806206363 n^{6} + 62637748771472625154384689187655498967827221783902676632813 n^{5} + 6413436758896121979006767535700432437666989932665840185118545 n^{4} + 350201190244854304584561326818748378451687722701572486744301895 n^{3} + 10755858285515456801025806119827721427406266291499407527207899012 n^{2} + 176179299608700737476124230990821313812483132748270810530220536892 n + 1202384531550065440675048961669639174096088223977983448586603670640\right) a{\left(n + 41 \right)}}{6438046463579522617712640 \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right) \left(3 n + 271\right) \left(3 n + 272\right)} + \frac{\left(277173846050633425312966722432041571787783179974145459119 n^{6} + 79598819178919904730108894066999589191251800999972156484040 n^{5} + 9502866472887443803799694855192343461715883335615069797681320 n^{4} + 603537326784025635491836925019642981668580253836772476147595710 n^{3} + 21501120903056442840624648997909612265070231059259344373559617821 n^{2} + 407253263301661078372252819192594278597878486109218351745396725070 n + 3202900947840709540089607874218576244514949607947813728921749957160\right) a{\left(n + 50 \right)}}{9657069695369283926568960 \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right) \left(3 n + 271\right) \left(3 n + 272\right)} + \frac{\left(341994715585959523925253931459271351056429105902491240853 n^{6} + 86168158369125077455527414726948189852914255206196067057475 n^{5} + 9045437771907496495891707533109929754938371146410829938243765 n^{4} + 506382417136838678983531986312172658959941237538382581316556645 n^{3} + 15944799769076854542520298669220012182644309003122472795115580622 n^{2} + 267749712876459288196305962844723775316230900958126338100379426800 n + 1873272062272532382010467543797440566312372959926610097671131303200\right) a{\left(n + 42 \right)}}{6438046463579522617712640 \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right) \left(3 n + 271\right) \left(3 n + 272\right)} - \frac{\left(372002706040063365251520311850217331710638502895496924947 n^{6} + 86856184602236096292953851341384675983317771262166807241443 n^{5} + 8449513542939727470774603270114464132805653175106190788988345 n^{4} + 438390565480027157253591972873578758382248103344992242532817305 n^{3} + 12794601420404133895728416462029044218367896222795566611625942028 n^{2} + 199168144086640330093476372587101371401172446901428661802226121132 n + 1291955233856950837912724058752180720427444170364269875604258199360\right) a{\left(n + 39 \right)}}{19314139390738567853137920 \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right) \left(3 n + 271\right) \left(3 n + 272\right)} - \frac{\left(492676164893151809297665688965405819285064836212273149561 n^{6} + 162436534916893944288295190222159200190565432888240789260241 n^{5} + 22255737126897294528595564056901675176849028615147349296570355 n^{4} + 1622372665007598788919365802820611765158874662926115000804820555 n^{3} + 66377827538086196187801240726155869968314141813974396555798761644 n^{2} + 1445482636529489447450050060329516925309355669096571056797805210604 n + 13091140823703572112576188380878252917695315999673396131531243412400\right) a{\left(n + 52 \right)}}{19314139390738567853137920 \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right) \left(3 n + 271\right) \left(3 n + 272\right)} + \frac{\left(654147888887471606909063420661045364609119975122085345237 n^{6} + 180536092428350507477834849388574865088562214847054775561357 n^{5} + 20759002104667754977565351454840811876507661893431863676562355 n^{4} + 1272943346929848116516060514848024411019518745112766900571475775 n^{3} + 43902731241088345857753423219854142478233831103205908094986078768 n^{2} + 807469256539403465638252458833666281788364518649104569656047030108 n + 6187261143687950369200825117155599492439559744526638904351485074240\right) a{\left(n + 46 \right)}}{6438046463579522617712640 \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right) \left(3 n + 271\right) \left(3 n + 272\right)} - \frac{\left(658159438745396397838104076121336448790272753611766163984 n^{6} + 169902198367888828770549893476328972751652347955407459992772 n^{5} + 18273464903753692774041918285798513411479311200297008767362745 n^{4} + 1048106496441542300599325222537751210456044651615163510167364090 n^{3} + 33812338702613902191676668685682342867283062702388053647136129551 n^{2} + 581708846582904977655343195541107194455049677862137183784204815298 n + 4169522156734194163662288365342060809432272478170201093304007542440\right) a{\left(n + 43 \right)}}{9657069695369283926568960 \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right) \left(3 n + 271\right) \left(3 n + 272\right)} + \frac{\left(731648123264671060526237183059558359593191185819687670237 n^{6} + 245769417270028948673160576379681529207410554806439991421097 n^{5} + 34389661116351273764454397014994806111943622502619901389127245 n^{4} + 2565739370136304499907530511828855034966542243821865278696476935 n^{3} + 107647883267183301097855534673297955711506338656950139452312332678 n^{2} + 2408145351469577054600163271366457118464024994866308218946731410208 n + 22440561202008100845425980772701966596541411011284487232725856849920\right) a{\left(n + 55 \right)}}{19314139390738567853137920 \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right) \left(3 n + 271\right) \left(3 n + 272\right)} + \frac{\left(760247517305745932343298590504172997839477999530540832139 n^{6} + 249650507826614077011632950840499577209988693983286382426401 n^{5} + 34128658929450154639889521594415311317841992288588656957841425 n^{4} + 2486235899084241842609452390992146634218134533990880334994975195 n^{3} + 101798396178489746940802388435138351096158866979466235004580812796 n^{2} + 2221289006763184699905950610835728429965739553698709395590974032444 n + 20180746281240125839745641182568740149651118060330108051738620399280\right) a{\left(n + 53 \right)}}{19314139390738567853137920 \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right) \left(3 n + 271\right) \left(3 n + 272\right)} + \frac{\left(802815862237377675445793409037761125186341091506893503168 n^{6} + 212153135858399825230305456615723012578361014216828074192296 n^{5} + 23358052094269324477984910552002182158230574663102736811711805 n^{4} + 1371464270749277428043205858983680710860419421724245171779352430 n^{3} + 45291229483889220679503259483337361638584428885108569051967808967 n^{2} + 797625530283068876091416045138701211650929853317177320338911910134 n + 5852304080712886374949443053458003542854303491619194465778554661040\right) a{\left(n + 44 \right)}}{9657069695369283926568960 \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right) \left(3 n + 271\right) \left(3 n + 272\right)} - \frac{\left(824212114035625307421314371241458045675714764694639387141 n^{6} + 273307113781658583572753222598102459336332670335487619282719 n^{5} + 37744905817491017730044542725076069547341480074817929183774355 n^{4} + 2778915233374430143643735529241744063797288124584135498921337845 n^{3} + 115034796036933330335505327794650840588798866062405131465749271264 n^{2} + 2538630642614116308384230391213273826945375260772486635626058065076 n + 23333451087528637728075758742196799718355895633781076256682852656160\right) a{\left(n + 54 \right)}}{19314139390738567853137920 \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right) \left(3 n + 271\right) \left(3 n + 272\right)} + \frac{\left(1619494044634060637837160036515139626464999731902355308531 n^{6} + 463493693710682225466033752635681749255138481244151306679677 n^{5} + 55263374492163412182418768824424429128030090910844305205976365 n^{4} + 3513707023456582405465117367743878445358906194265956372609207935 n^{3} + 125645685224409426019700689245993955105700097278232189872843898344 n^{2} + 2395825669233247454623667974607746378715088957680136819373305495948 n + 19031543018479865501147885546145432126839135827087253929101649571520\right) a{\left(n + 48 \right)}}{19314139390738567853137920 \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right) \left(3 n + 271\right) \left(3 n + 272\right)} - \frac{\left(1843186730798695890180903285268164489160537880272951445455 n^{6} + 498090943976794473817810359796597235032787617840339534252071 n^{5} + 56079231996435332573824842374002275661604914748491861917944155 n^{4} + 3367098007313613812516885540883773889576030997470828068854730865 n^{3} + 113707690654699220947213722392972373557096925880875543442819684870 n^{2} + 2047749720710225991570642103299960881810160728299031499427757665704 n + 15363966426452863501909677577629095210793720194851676294404442715360\right) a{\left(n + 45 \right)}}{19314139390738567853137920 \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right) \left(3 n + 271\right) \left(3 n + 272\right)}, \quad n \geq 91
Specification 1
Strategy pack name: point_placements_req_corrob
Tree: http://permpal.com/tree/24482/
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[15,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[6,x]
F[6,x] = F[15,x]*F[7,x]
F[7,x] = F[278,x]+F[8,x]
F[8,x] = F[4,x]+F[9,x]
F[9,x] = F[10,x]
F[10,x] = F[11,x]*F[15,x]
F[11,x] = F[12,x]+F[257,x]
F[12,x] = F[13,x]+F[16,x]
F[13,x] = 1/F[15,x]*F[14,x]
F[14,x] = F[5,x]
F[15,x] = x
F[16,x] = F[17,x]
F[17,x] = F[15,x]*F[18,x]
F[18,x] = F[19,x]+F[252,x]
F[19,x] = F[20,x]+F[4,x]
F[20,x] = F[21,x]
F[21,x] = F[15,x]*F[22,x]*F[4,x]
F[22,x] = F[152,x]+F[23,x]
F[23,x] = F[0,x]+F[24,x]
F[24,x] = F[25,x]
F[25,x] = F[15,x]*F[26,x]
F[26,x] = F[27,x]+F[95,x]
F[27,x] = F[23,x]+F[28,x]
F[28,x] = F[29,x]
F[29,x] = F[15,x]*F[30,x]
F[30,x] = F[31,x]+F[34,x]
F[31,x] = F[23,x]*F[32,x]
F[32,x] = 1/F[15,x]*F[33,x]
F[33,x] = F[2,x]
F[34,x] = F[35,x]
F[35,x] = F[15,x]*F[23,x]*F[36,x]
F[36,x] = F[128,x]+F[37,x]
F[37,x] = 1/F[15,x]*F[38,x]
F[38,x] = F[39,x]
F[39,x] = F[40,x]
F[40,x] = F[15,x]*F[41,x]
F[41,x] = 1/F[0,x]/F[15,x]*F[42,x]
F[42,x] = F[43,x]
F[43,x] = -F[52,x]+F[44,x]
F[44,x] = 1/F[15,x]*F[45,x]
F[45,x] = F[46,x]
F[46,x] = -F[51,x]+F[47,x]
F[47,x] = 1/F[15,x]*F[48,x]
F[48,x] = F[49,x]
F[49,x] = -F[2,x]+F[50,x]
F[50,x] = -F[0,x]+F[32,x]
F[51,x] = F[2,x]*F[32,x]
F[52,x] = 1/F[15,x]*F[53,x]
F[53,x] = F[54,x]
F[54,x] = -F[57,x]+F[55,x]
F[55,x] = 1/F[15,x]*F[56,x]
F[56,x] = F[50,x]
F[57,x] = F[249,x]+F[58,x]
F[58,x] = F[0,x]+F[59,x]
F[59,x] = -F[247,x]+F[60,x]
F[60,x] = -F[63,x]+F[61,x]
F[61,x] = 1/F[15,x]*F[62,x]
F[62,x] = F[49,x]
F[63,x] = F[242,x]+F[64,x]
F[64,x] = -F[65,x]+F[61,x]
F[65,x] = F[240,x]+F[66,x]
F[66,x] = -F[239,x]+F[67,x]
F[67,x] = -F[73,x]+F[68,x]
F[68,x] = 1/F[15,x]*F[69,x]
F[69,x] = F[70,x]
F[70,x] = -F[0,x]+F[71,x]
F[71,x] = 1/F[15,x]*F[72,x]
F[72,x] = F[2,x]
F[73,x] = F[74,x]+F[75,x]
F[74,x] = F[0,x]*F[70,x]
F[75,x] = F[224,x]+F[76,x]
F[76,x] = F[77,x]
F[77,x] = F[15,x]*F[78,x]
F[78,x] = F[79,x]+F[80,x]
F[79,x] = F[59,x]*F[71,x]
F[80,x] = F[0,x]*F[81,x]
F[81,x] = F[59,x]+F[82,x]
F[82,x] = F[83,x]
F[83,x] = F[15,x]*F[84,x]
F[84,x] = F[85,x]+F[87,x]
F[85,x] = F[59,x]*F[86,x]
F[86,x] = F[32,x]+F[39,x]
F[87,x] = F[0,x]*F[88,x]
F[88,x] = F[89,x]
F[89,x] = F[15,x]*F[90,x]
F[90,x] = 1/F[15,x]*F[91,x]
F[91,x] = F[92,x]
F[92,x] = -F[98,x]+F[93,x]
F[93,x] = 1/F[15,x]*F[94,x]
F[94,x] = F[95,x]
F[95,x] = -F[28,x]+F[96,x]
F[96,x] = 1/F[15,x]*F[97,x]
F[97,x] = F[49,x]
F[98,x] = 1/F[15,x]*F[99,x]
F[99,x] = F[100,x]
F[100,x] = -F[101,x]+F[47,x]
F[101,x] = F[102,x]
F[102,x] = F[103,x]*F[15,x]
F[103,x] = 1/F[15,x]*F[104,x]
F[104,x] = F[105,x]
F[105,x] = F[106,x]+F[108,x]
F[106,x] = F[107,x]
F[107,x] = F[0,x]*F[15,x]*F[86,x]
F[108,x] = F[109,x]
F[109,x] = F[110,x]*F[15,x]
F[110,x] = F[111,x]+F[114,x]
F[111,x] = 1/F[15,x]*F[112,x]
F[112,x] = F[113,x]
F[113,x] = -F[106,x]+F[28,x]
F[114,x] = F[115,x]
F[115,x] = F[116,x]*F[15,x]
F[116,x] = 1/F[15,x]*F[117,x]
F[117,x] = F[118,x]
F[118,x] = F[119,x]+F[132,x]
F[119,x] = F[120,x]*F[129,x]
F[120,x] = -F[126,x]+F[121,x]
F[121,x] = -F[124,x]+F[122,x]
F[122,x] = 1/F[0,x]/F[15,x]*F[123,x]
F[123,x] = F[65,x]
F[124,x] = 1/F[15,x]*F[125,x]
F[125,x] = F[60,x]
F[126,x] = F[127,x]
F[127,x] = F[128,x]*F[15,x]
F[128,x] = F[92,x]
F[129,x] = F[1,x]+F[130,x]
F[130,x] = F[131,x]
F[131,x] = F[129,x]*F[15,x]
F[132,x] = F[133,x]
F[133,x] = F[120,x]*F[134,x]*F[15,x]
F[134,x] = 1/F[15,x]/F[160,x]*F[135,x]
F[135,x] = F[136,x]
F[136,x] = -F[223,x]+F[137,x]
F[137,x] = F[138,x]+F[146,x]
F[138,x] = F[139,x]*F[15,x]
F[139,x] = F[140,x]+F[2,x]
F[140,x] = F[141,x]
F[141,x] = F[142,x]*F[15,x]
F[142,x] = F[143,x]+F[144,x]
F[143,x] = F[129,x]*F[2,x]
F[144,x] = F[145,x]
F[145,x] = F[0,x]*F[134,x]*F[15,x]
F[146,x] = -F[221,x]+F[147,x]
F[147,x] = F[148,x]
F[148,x] = -F[164,x]+F[149,x]
F[149,x] = 1/F[15,x]*F[150,x]
F[150,x] = F[151,x]
F[151,x] = -F[160,x]+F[152,x]
F[152,x] = F[153,x]
F[153,x] = F[15,x]*F[154,x]
F[154,x] = F[155,x]+F[158,x]
F[155,x] = F[156,x]+F[23,x]
F[156,x] = F[157,x]
F[157,x] = F[15,x]*F[23,x]*F[86,x]
F[158,x] = F[159,x]
F[159,x] = F[15,x]*F[37,x]
F[160,x] = F[15,x]+F[161,x]
F[161,x] = F[162,x]
F[162,x] = F[15,x]*F[163,x]
F[163,x] = F[2,x]+F[59,x]
F[164,x] = 1/F[129,x]*F[165,x]
F[165,x] = -F[179,x]+F[166,x]
F[166,x] = F[167,x]+F[171,x]
F[167,x] = F[129,x]*F[168,x]
F[168,x] = 1/F[15,x]*F[169,x]
F[169,x] = F[170,x]
F[170,x] = F[151,x]+F[24,x]
F[171,x] = F[172,x]*F[174,x]
F[172,x] = 1/F[15,x]*F[173,x]
F[173,x] = F[24,x]
F[174,x] = F[15,x]+F[175,x]
F[175,x] = F[176,x]+F[177,x]+F[178,x]
F[176,x] = 0
F[177,x] = F[15,x]*F[174,x]
F[178,x] = F[130,x]*F[15,x]
F[179,x] = F[180,x]+F[184,x]
F[180,x] = F[172,x]*F[181,x]
F[181,x] = F[182,x]+F[183,x]
F[182,x] = F[1,x]+F[15,x]
F[183,x] = F[130,x]+F[175,x]
F[184,x] = F[185,x]
F[185,x] = -F[220,x]+F[186,x]
F[186,x] = -F[197,x]+F[187,x]
F[187,x] = 1/F[15,x]*F[188,x]
F[188,x] = F[189,x]
F[189,x] = F[190,x]+F[196,x]
F[190,x] = F[191,x]*F[24,x]
F[191,x] = F[1,x]+F[192,x]
F[192,x] = F[193,x]
F[193,x] = F[15,x]*F[194,x]
F[194,x] = F[191,x]+F[195,x]
F[195,x] = F[130,x]
F[196,x] = F[129,x]*F[151,x]
F[197,x] = -F[217,x]+F[198,x]
F[198,x] = 1/F[15,x]*F[199,x]
F[199,x] = F[200,x]
F[200,x] = -F[208,x]+F[201,x]
F[201,x] = 1/F[15,x]*F[202,x]
F[202,x] = F[203,x]
F[203,x] = F[15,x]*F[204,x]
F[204,x] = F[205,x]+F[207,x]
F[205,x] = F[206,x]
F[206,x] = F[130,x]*F[154,x]
F[207,x] = F[192,x]*F[26,x]
F[208,x] = F[130,x]*F[209,x]
F[209,x] = F[210,x]+F[211,x]
F[210,x] = F[0,x]*F[129,x]
F[211,x] = F[212,x]
F[212,x] = F[0,x]*F[15,x]*F[213,x]
F[213,x] = 1/F[15,x]/F[23,x]*F[214,x]
F[214,x] = F[215,x]
F[215,x] = -F[216,x]+F[154,x]
F[216,x] = F[129,x]*F[23,x]
F[217,x] = F[181,x]*F[218,x]
F[218,x] = 1/F[15,x]*F[219,x]
F[219,x] = F[24,x]
F[220,x] = F[191,x]*F[218,x]
F[221,x] = F[15,x]*F[222,x]
F[222,x] = F[129,x]+F[139,x]
F[223,x] = F[129,x]*F[161,x]
F[224,x] = F[225,x]
F[225,x] = F[15,x]*F[226,x]
F[226,x] = F[227,x]+F[237,x]
F[227,x] = F[228,x]+F[234,x]
F[228,x] = F[154,x]*F[229,x]
F[229,x] = F[230,x]
F[230,x] = F[15,x]*F[231,x]
F[231,x] = F[232,x]+F[233,x]
F[232,x] = F[2,x]*F[71,x]
F[233,x] = F[66,x]+F[75,x]
F[234,x] = F[121,x]*F[235,x]
F[235,x] = F[236,x]
F[236,x] = F[0,x]*F[15,x]*F[22,x]
F[237,x] = F[238,x]
F[238,x] = F[121,x]*F[70,x]
F[239,x] = F[0,x]^2
F[240,x] = F[241,x]
F[241,x] = F[0,x]*F[15,x]*F[81,x]
F[242,x] = F[243,x]
F[243,x] = F[15,x]*F[244,x]
F[244,x] = F[245,x]+F[246,x]
F[245,x] = F[79,x]+F[80,x]
F[246,x] = F[247,x]*F[71,x]
F[247,x] = F[248,x]
F[248,x] = F[15,x]*F[81,x]
F[249,x] = F[250,x]+F[70,x]
F[250,x] = F[251,x]
F[251,x] = F[15,x]*F[2,x]*F[68,x]
F[252,x] = F[253,x]
F[253,x] = F[15,x]*F[19,x]*F[254,x]
F[254,x] = F[0,x]+F[255,x]
F[255,x] = F[256,x]
F[256,x] = F[0,x]*F[15,x]*F[254,x]
F[257,x] = F[258,x]
F[258,x] = F[15,x]*F[259,x]
F[259,x] = F[260,x]+F[276,x]
F[260,x] = -F[261,x]+F[13,x]
F[261,x] = F[262,x]
F[262,x] = F[15,x]*F[263,x]
F[263,x] = F[264,x]+F[274,x]
F[264,x] = F[12,x]+F[265,x]
F[265,x] = F[266,x]
F[266,x] = F[15,x]*F[267,x]
F[267,x] = F[268,x]+F[272,x]
F[268,x] = F[269,x]+F[270,x]
F[269,x] = F[12,x]*F[23,x]
F[270,x] = F[271,x]
F[271,x] = F[152,x]*F[18,x]
F[272,x] = F[273,x]
F[273,x] = F[152,x]*F[259,x]
F[274,x] = F[275,x]
F[275,x] = F[0,x]*F[15,x]*F[259,x]
F[276,x] = F[277,x]
F[277,x] = F[15,x]*F[254,x]*F[260,x]
F[278,x] = F[279,x]
F[279,x] = F[15,x]*F[280,x]
F[280,x] = F[281,x]+F[282,x]
F[281,x] = F[23,x]*F[8,x]
F[282,x] = F[283,x]
F[283,x] = F[15,x]*F[284,x]
F[284,x] = F[285,x]+F[289,x]
F[285,x] = F[286,x]+F[287,x]
F[286,x] = F[11,x]*F[154,x]
F[287,x] = F[288,x]
F[288,x] = F[121,x]*F[18,x]
F[289,x] = F[290,x]
F[290,x] = F[121,x]*F[259,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_{15}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{15}\! \left(x \right) F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{278}\! \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_{10}\! \left(x \right) = F_{11}\! \left(x \right) F_{15}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)+F_{257}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)+F_{16}\! \left(x \right)
F_{13}\! \left(x \right) = \frac{F_{14}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{14}\! \left(x \right) = F_{5}\! \left(x \right)
F_{15}\! \left(x \right) = x
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{15}\! \left(x \right) F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)+F_{252}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)+F_{4}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{15}\! \left(x \right) F_{22}\! \left(x \right) F_{4}\! \left(x \right)
F_{22}\! \left(x \right) = F_{152}\! \left(x \right)+F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{0}\! \left(x \right)+F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{15}\! \left(x \right) F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)+F_{95}\! \left(x \right)
F_{27}\! \left(x \right) = F_{23}\! \left(x \right)+F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{15}\! \left(x \right) F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = F_{31}\! \left(x \right)+F_{34}\! \left(x \right)
F_{31}\! \left(x \right) = F_{23}\! \left(x \right) F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = \frac{F_{33}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{33}\! \left(x \right) = F_{2}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{15}\! \left(x \right) F_{23}\! \left(x \right) F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = F_{128}\! \left(x \right)+F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = \frac{F_{38}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{15}\! \left(x \right) F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = \frac{F_{42}\! \left(x \right)}{F_{0}\! \left(x \right) F_{15}\! \left(x \right)}
F_{42}\! \left(x \right) = F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = -F_{52}\! \left(x \right)+F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = \frac{F_{45}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = -F_{51}\! \left(x \right)+F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = \frac{F_{48}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{48}\! \left(x \right) = F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{32}\! \left(x \right)
F_{51}\! \left(x \right) = F_{2}\! \left(x \right) F_{32}\! \left(x \right)
F_{52}\! \left(x \right) = \frac{F_{53}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{53}\! \left(x \right) = F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = -F_{57}\! \left(x \right)+F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = \frac{F_{56}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{56}\! \left(x \right) = F_{50}\! \left(x \right)
F_{57}\! \left(x \right) = F_{249}\! \left(x \right)+F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{0}\! \left(x \right)+F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = -F_{247}\! \left(x \right)+F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = -F_{63}\! \left(x \right)+F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = \frac{F_{62}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{62}\! \left(x \right) = F_{49}\! \left(x \right)
F_{63}\! \left(x \right) = F_{242}\! \left(x \right)+F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = -F_{65}\! \left(x \right)+F_{61}\! \left(x \right)
F_{65}\! \left(x \right) = F_{240}\! \left(x \right)+F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = -F_{239}\! \left(x \right)+F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = -F_{73}\! \left(x \right)+F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = \frac{F_{69}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{69}\! \left(x \right) = F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = \frac{F_{72}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{72}\! \left(x \right) = F_{2}\! \left(x \right)
F_{73}\! \left(x \right) = F_{74}\! \left(x \right)+F_{75}\! \left(x \right)
F_{74}\! \left(x \right) = F_{0}\! \left(x \right) F_{70}\! \left(x \right)
F_{75}\! \left(x \right) = F_{224}\! \left(x \right)+F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{15}\! \left(x \right) F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{79}\! \left(x \right)+F_{80}\! \left(x \right)
F_{79}\! \left(x \right) = F_{59}\! \left(x \right) F_{71}\! \left(x \right)
F_{80}\! \left(x \right) = F_{0}\! \left(x \right) F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{59}\! \left(x \right)+F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = F_{15}\! \left(x \right) F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{85}\! \left(x \right)+F_{87}\! \left(x \right)
F_{85}\! \left(x \right) = F_{59}\! \left(x \right) F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{32}\! \left(x \right)+F_{39}\! \left(x \right)
F_{87}\! \left(x \right) = F_{0}\! \left(x \right) F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{15}\! \left(x \right) F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = \frac{F_{91}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{91}\! \left(x \right) = F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = -F_{98}\! \left(x \right)+F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = \frac{F_{94}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{94}\! \left(x \right) = F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = -F_{28}\! \left(x \right)+F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = \frac{F_{97}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{97}\! \left(x \right) = F_{49}\! \left(x \right)
F_{98}\! \left(x \right) = \frac{F_{99}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{99}\! \left(x \right) = F_{100}\! \left(x \right)
F_{100}\! \left(x \right) = -F_{101}\! \left(x \right)+F_{47}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right) F_{15}\! \left(x \right)
F_{103}\! \left(x \right) = \frac{F_{104}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{104}\! \left(x \right) = F_{105}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x \right)+F_{108}\! \left(x \right)
F_{106}\! \left(x \right) = F_{107}\! \left(x \right)
F_{107}\! \left(x \right) = F_{0}\! \left(x \right) F_{15}\! \left(x \right) F_{86}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right) F_{15}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right)+F_{114}\! \left(x \right)
F_{111}\! \left(x \right) = \frac{F_{112}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)
F_{113}\! \left(x \right) = -F_{106}\! \left(x \right)+F_{28}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right) F_{15}\! \left(x \right)
F_{116}\! \left(x \right) = \frac{F_{117}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right)+F_{132}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right) F_{129}\! \left(x \right)
F_{120}\! \left(x \right) = -F_{126}\! \left(x \right)+F_{121}\! \left(x \right)
F_{121}\! \left(x \right) = -F_{124}\! \left(x \right)+F_{122}\! \left(x \right)
F_{122}\! \left(x \right) = \frac{F_{123}\! \left(x \right)}{F_{0}\! \left(x \right) F_{15}\! \left(x \right)}
F_{123}\! \left(x \right) = F_{65}\! \left(x \right)
F_{124}\! \left(x \right) = \frac{F_{125}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{125}\! \left(x \right) = F_{60}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right) F_{15}\! \left(x \right)
F_{128}\! \left(x \right) = F_{92}\! \left(x \right)
F_{129}\! \left(x \right) = F_{1}\! \left(x \right)+F_{130}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right)
F_{131}\! \left(x \right) = F_{129}\! \left(x \right) F_{15}\! \left(x \right)
F_{132}\! \left(x \right) = F_{133}\! \left(x \right)
F_{133}\! \left(x \right) = F_{120}\! \left(x \right) F_{134}\! \left(x \right) F_{15}\! \left(x \right)
F_{134}\! \left(x \right) = \frac{F_{135}\! \left(x \right)}{F_{15}\! \left(x \right) F_{160}\! \left(x \right)}
F_{135}\! \left(x \right) = F_{136}\! \left(x \right)
F_{136}\! \left(x \right) = -F_{223}\! \left(x \right)+F_{137}\! \left(x \right)
F_{137}\! \left(x \right) = F_{138}\! \left(x \right)+F_{146}\! \left(x \right)
F_{138}\! \left(x \right) = F_{139}\! \left(x \right) F_{15}\! \left(x \right)
F_{139}\! \left(x \right) = F_{140}\! \left(x \right)+F_{2}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right) F_{15}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right)+F_{144}\! \left(x \right)
F_{143}\! \left(x \right) = F_{129}\! \left(x \right) F_{2}\! \left(x \right)
F_{144}\! \left(x \right) = F_{145}\! \left(x \right)
F_{145}\! \left(x \right) = F_{0}\! \left(x \right) F_{134}\! \left(x \right) F_{15}\! \left(x \right)
F_{146}\! \left(x \right) = -F_{221}\! \left(x \right)+F_{147}\! \left(x \right)
F_{147}\! \left(x \right) = F_{148}\! \left(x \right)
F_{148}\! \left(x \right) = -F_{164}\! \left(x \right)+F_{149}\! \left(x \right)
F_{149}\! \left(x \right) = \frac{F_{150}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{150}\! \left(x \right) = F_{151}\! \left(x \right)
F_{151}\! \left(x \right) = -F_{160}\! \left(x \right)+F_{152}\! \left(x \right)
F_{152}\! \left(x \right) = F_{153}\! \left(x \right)
F_{153}\! \left(x \right) = F_{15}\! \left(x \right) F_{154}\! \left(x \right)
F_{154}\! \left(x \right) = F_{155}\! \left(x \right)+F_{158}\! \left(x \right)
F_{155}\! \left(x \right) = F_{156}\! \left(x \right)+F_{23}\! \left(x \right)
F_{156}\! \left(x \right) = F_{157}\! \left(x \right)
F_{157}\! \left(x \right) = F_{15}\! \left(x \right) F_{23}\! \left(x \right) F_{86}\! \left(x \right)
F_{158}\! \left(x \right) = F_{159}\! \left(x \right)
F_{159}\! \left(x \right) = F_{15}\! \left(x \right) F_{37}\! \left(x \right)
F_{160}\! \left(x \right) = F_{15}\! \left(x \right)+F_{161}\! \left(x \right)
F_{161}\! \left(x \right) = F_{162}\! \left(x \right)
F_{162}\! \left(x \right) = F_{15}\! \left(x \right) F_{163}\! \left(x \right)
F_{163}\! \left(x \right) = F_{2}\! \left(x \right)+F_{59}\! \left(x \right)
F_{164}\! \left(x \right) = \frac{F_{165}\! \left(x \right)}{F_{129}\! \left(x \right)}
F_{165}\! \left(x \right) = -F_{179}\! \left(x \right)+F_{166}\! \left(x \right)
F_{166}\! \left(x \right) = F_{167}\! \left(x \right)+F_{171}\! \left(x \right)
F_{167}\! \left(x \right) = F_{129}\! \left(x \right) F_{168}\! \left(x \right)
F_{168}\! \left(x \right) = \frac{F_{169}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{169}\! \left(x \right) = F_{170}\! \left(x \right)
F_{170}\! \left(x \right) = F_{151}\! \left(x \right)+F_{24}\! \left(x \right)
F_{171}\! \left(x \right) = F_{172}\! \left(x \right) F_{174}\! \left(x \right)
F_{172}\! \left(x \right) = \frac{F_{173}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{173}\! \left(x \right) = F_{24}\! \left(x \right)
F_{174}\! \left(x \right) = F_{15}\! \left(x \right)+F_{175}\! \left(x \right)
F_{175}\! \left(x \right) = F_{176}\! \left(x \right)+F_{177}\! \left(x \right)+F_{178}\! \left(x \right)
F_{176}\! \left(x \right) = 0
F_{177}\! \left(x \right) = F_{15}\! \left(x \right) F_{174}\! \left(x \right)
F_{178}\! \left(x \right) = F_{130}\! \left(x \right) F_{15}\! \left(x \right)
F_{179}\! \left(x \right) = F_{180}\! \left(x \right)+F_{184}\! \left(x \right)
F_{180}\! \left(x \right) = F_{172}\! \left(x \right) F_{181}\! \left(x \right)
F_{181}\! \left(x \right) = F_{182}\! \left(x \right)+F_{183}\! \left(x \right)
F_{182}\! \left(x \right) = F_{1}\! \left(x \right)+F_{15}\! \left(x \right)
F_{183}\! \left(x \right) = F_{130}\! \left(x \right)+F_{175}\! \left(x \right)
F_{184}\! \left(x \right) = F_{185}\! \left(x \right)
F_{185}\! \left(x \right) = -F_{220}\! \left(x \right)+F_{186}\! \left(x \right)
F_{186}\! \left(x \right) = -F_{197}\! \left(x \right)+F_{187}\! \left(x \right)
F_{187}\! \left(x \right) = \frac{F_{188}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{188}\! \left(x \right) = F_{189}\! \left(x \right)
F_{189}\! \left(x \right) = F_{190}\! \left(x \right)+F_{196}\! \left(x \right)
F_{190}\! \left(x \right) = F_{191}\! \left(x \right) F_{24}\! \left(x \right)
F_{191}\! \left(x \right) = F_{1}\! \left(x \right)+F_{192}\! \left(x \right)
F_{192}\! \left(x \right) = F_{193}\! \left(x \right)
F_{193}\! \left(x \right) = F_{15}\! \left(x \right) F_{194}\! \left(x \right)
F_{194}\! \left(x \right) = F_{191}\! \left(x \right)+F_{195}\! \left(x \right)
F_{195}\! \left(x \right) = F_{130}\! \left(x \right)
F_{196}\! \left(x \right) = F_{129}\! \left(x \right) F_{151}\! \left(x \right)
F_{197}\! \left(x \right) = -F_{217}\! \left(x \right)+F_{198}\! \left(x \right)
F_{198}\! \left(x \right) = \frac{F_{199}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{199}\! \left(x \right) = F_{200}\! \left(x \right)
F_{200}\! \left(x \right) = -F_{208}\! \left(x \right)+F_{201}\! \left(x \right)
F_{201}\! \left(x \right) = \frac{F_{202}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{202}\! \left(x \right) = F_{203}\! \left(x \right)
F_{203}\! \left(x \right) = F_{15}\! \left(x \right) F_{204}\! \left(x \right)
F_{204}\! \left(x \right) = F_{205}\! \left(x \right)+F_{207}\! \left(x \right)
F_{205}\! \left(x \right) = F_{206}\! \left(x \right)
F_{206}\! \left(x \right) = F_{130}\! \left(x \right) F_{154}\! \left(x \right)
F_{207}\! \left(x \right) = F_{192}\! \left(x \right) F_{26}\! \left(x \right)
F_{208}\! \left(x \right) = F_{130}\! \left(x \right) F_{209}\! \left(x \right)
F_{209}\! \left(x \right) = F_{210}\! \left(x \right)+F_{211}\! \left(x \right)
F_{210}\! \left(x \right) = F_{0}\! \left(x \right) F_{129}\! \left(x \right)
F_{211}\! \left(x \right) = F_{212}\! \left(x \right)
F_{212}\! \left(x \right) = F_{0}\! \left(x \right) F_{15}\! \left(x \right) F_{213}\! \left(x \right)
F_{213}\! \left(x \right) = \frac{F_{214}\! \left(x \right)}{F_{15}\! \left(x \right) F_{23}\! \left(x \right)}
F_{214}\! \left(x \right) = F_{215}\! \left(x \right)
F_{215}\! \left(x \right) = -F_{216}\! \left(x \right)+F_{154}\! \left(x \right)
F_{216}\! \left(x \right) = F_{129}\! \left(x \right) F_{23}\! \left(x \right)
F_{217}\! \left(x \right) = F_{181}\! \left(x \right) F_{218}\! \left(x \right)
F_{218}\! \left(x \right) = \frac{F_{219}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{219}\! \left(x \right) = F_{24}\! \left(x \right)
F_{220}\! \left(x \right) = F_{191}\! \left(x \right) F_{218}\! \left(x \right)
F_{221}\! \left(x \right) = F_{15}\! \left(x \right) F_{222}\! \left(x \right)
F_{222}\! \left(x \right) = F_{129}\! \left(x \right)+F_{139}\! \left(x \right)
F_{223}\! \left(x \right) = F_{129}\! \left(x \right) F_{161}\! \left(x \right)
F_{224}\! \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_{237}\! \left(x \right)
F_{227}\! \left(x \right) = F_{228}\! \left(x \right)+F_{234}\! \left(x \right)
F_{228}\! \left(x \right) = F_{154}\! \left(x \right) F_{229}\! \left(x \right)
F_{229}\! \left(x \right) = F_{230}\! \left(x \right)
F_{230}\! \left(x \right) = F_{15}\! \left(x \right) F_{231}\! \left(x \right)
F_{231}\! \left(x \right) = F_{232}\! \left(x \right)+F_{233}\! \left(x \right)
F_{232}\! \left(x \right) = F_{2}\! \left(x \right) F_{71}\! \left(x \right)
F_{233}\! \left(x \right) = F_{66}\! \left(x \right)+F_{75}\! \left(x \right)
F_{234}\! \left(x \right) = F_{121}\! \left(x \right) F_{235}\! \left(x \right)
F_{235}\! \left(x \right) = F_{236}\! \left(x \right)
F_{236}\! \left(x \right) = F_{0}\! \left(x \right) F_{15}\! \left(x \right) F_{22}\! \left(x \right)
F_{237}\! \left(x \right) = F_{238}\! \left(x \right)
F_{238}\! \left(x \right) = F_{121}\! \left(x \right) F_{70}\! \left(x \right)
F_{239}\! \left(x \right) = F_{0} \left(x \right)^{2}
F_{240}\! \left(x \right) = F_{241}\! \left(x \right)
F_{241}\! \left(x \right) = F_{0}\! \left(x \right) F_{15}\! \left(x \right) F_{81}\! \left(x \right)
F_{242}\! \left(x \right) = F_{243}\! \left(x \right)
F_{243}\! \left(x \right) = F_{15}\! \left(x \right) F_{244}\! \left(x \right)
F_{244}\! \left(x \right) = F_{245}\! \left(x \right)+F_{246}\! \left(x \right)
F_{245}\! \left(x \right) = F_{79}\! \left(x \right)+F_{80}\! \left(x \right)
F_{246}\! \left(x \right) = F_{247}\! \left(x \right) F_{71}\! \left(x \right)
F_{247}\! \left(x \right) = F_{248}\! \left(x \right)
F_{248}\! \left(x \right) = F_{15}\! \left(x \right) F_{81}\! \left(x \right)
F_{249}\! \left(x \right) = F_{250}\! \left(x \right)+F_{70}\! \left(x \right)
F_{250}\! \left(x \right) = F_{251}\! \left(x \right)
F_{251}\! \left(x \right) = F_{15}\! \left(x \right) F_{2}\! \left(x \right) F_{68}\! \left(x \right)
F_{252}\! \left(x \right) = F_{253}\! \left(x \right)
F_{253}\! \left(x \right) = F_{15}\! \left(x \right) F_{19}\! \left(x \right) F_{254}\! \left(x \right)
F_{254}\! \left(x \right) = F_{0}\! \left(x \right)+F_{255}\! \left(x \right)
F_{255}\! \left(x \right) = F_{256}\! \left(x \right)
F_{256}\! \left(x \right) = F_{0}\! \left(x \right) F_{15}\! \left(x \right) F_{254}\! \left(x \right)
F_{257}\! \left(x \right) = F_{258}\! \left(x \right)
F_{258}\! \left(x \right) = F_{15}\! \left(x \right) F_{259}\! \left(x \right)
F_{259}\! \left(x \right) = F_{260}\! \left(x \right)+F_{276}\! \left(x \right)
F_{260}\! \left(x \right) = -F_{261}\! \left(x \right)+F_{13}\! \left(x \right)
F_{261}\! \left(x \right) = F_{262}\! \left(x \right)
F_{262}\! \left(x \right) = F_{15}\! \left(x \right) F_{263}\! \left(x \right)
F_{263}\! \left(x \right) = F_{264}\! \left(x \right)+F_{274}\! \left(x \right)
F_{264}\! \left(x \right) = F_{12}\! \left(x \right)+F_{265}\! \left(x \right)
F_{265}\! \left(x \right) = F_{266}\! \left(x \right)
F_{266}\! \left(x \right) = F_{15}\! \left(x \right) F_{267}\! \left(x \right)
F_{267}\! \left(x \right) = F_{268}\! \left(x \right)+F_{272}\! \left(x \right)
F_{268}\! \left(x \right) = F_{269}\! \left(x \right)+F_{270}\! \left(x \right)
F_{269}\! \left(x \right) = F_{12}\! \left(x \right) F_{23}\! \left(x \right)
F_{270}\! \left(x \right) = F_{271}\! \left(x \right)
F_{271}\! \left(x \right) = F_{152}\! \left(x \right) F_{18}\! \left(x \right)
F_{272}\! \left(x \right) = F_{273}\! \left(x \right)
F_{273}\! \left(x \right) = F_{152}\! \left(x \right) F_{259}\! \left(x \right)
F_{274}\! \left(x \right) = F_{275}\! \left(x \right)
F_{275}\! \left(x \right) = F_{0}\! \left(x \right) F_{15}\! \left(x \right) F_{259}\! \left(x \right)
F_{276}\! \left(x \right) = F_{277}\! \left(x \right)
F_{277}\! \left(x \right) = F_{15}\! \left(x \right) F_{254}\! \left(x \right) F_{260}\! \left(x \right)
F_{278}\! \left(x \right) = F_{279}\! \left(x \right)
F_{279}\! \left(x \right) = F_{15}\! \left(x \right) F_{280}\! \left(x \right)
F_{280}\! \left(x \right) = F_{281}\! \left(x \right)+F_{282}\! \left(x \right)
F_{281}\! \left(x \right) = F_{23}\! \left(x \right) F_{8}\! \left(x \right)
F_{282}\! \left(x \right) = F_{283}\! \left(x \right)
F_{283}\! \left(x \right) = F_{15}\! \left(x \right) F_{284}\! \left(x \right)
F_{284}\! \left(x \right) = F_{285}\! \left(x \right)+F_{289}\! \left(x \right)
F_{285}\! \left(x \right) = F_{286}\! \left(x \right)+F_{287}\! \left(x \right)
F_{286}\! \left(x \right) = F_{11}\! \left(x \right) F_{154}\! \left(x \right)
F_{287}\! \left(x \right) = F_{288}\! \left(x \right)
F_{288}\! \left(x \right) = F_{121}\! \left(x \right) F_{18}\! \left(x \right)
F_{289}\! \left(x \right) = F_{290}\! \left(x \right)
F_{290}\! \left(x \right) = F_{121}\! \left(x \right) F_{259}\! \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_15(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_6(x))
Eq(F_6(x), F_15(x)*F_7(x))
Eq(F_7(x), F_278(x) + F_8(x))
Eq(F_8(x), F_4(x) + F_9(x))
Eq(F_9(x), F_10(x))
Eq(F_10(x), F_11(x)*F_15(x))
Eq(F_11(x), F_12(x) + F_257(x))
Eq(F_12(x), F_13(x) + F_16(x))
Eq(F_13(x), F_14(x)/F_15(x))
Eq(F_14(x), F_5(x))
Eq(F_15(x), x)
Eq(F_16(x), F_17(x))
Eq(F_17(x), F_15(x)*F_18(x))
Eq(F_18(x), F_19(x) + F_252(x))
Eq(F_19(x), F_20(x) + F_4(x))
Eq(F_20(x), F_21(x))
Eq(F_21(x), F_15(x)*F_22(x)*F_4(x))
Eq(F_22(x), F_152(x) + F_23(x))
Eq(F_23(x), F_0(x) + F_24(x))
Eq(F_24(x), F_25(x))
Eq(F_25(x), F_15(x)*F_26(x))
Eq(F_26(x), F_27(x) + F_95(x))
Eq(F_27(x), F_23(x) + F_28(x))
Eq(F_28(x), F_29(x))
Eq(F_29(x), F_15(x)*F_30(x))
Eq(F_30(x), F_31(x) + F_34(x))
Eq(F_31(x), F_23(x)*F_32(x))
Eq(F_32(x), F_33(x)/F_15(x))
Eq(F_33(x), F_2(x))
Eq(F_34(x), F_35(x))
Eq(F_35(x), F_15(x)*F_23(x)*F_36(x))
Eq(F_36(x), F_128(x) + F_37(x))
Eq(F_37(x), F_38(x)/F_15(x))
Eq(F_38(x), F_39(x))
Eq(F_39(x), F_40(x))
Eq(F_40(x), F_15(x)*F_41(x))
Eq(F_41(x), F_42(x)/(F_0(x)*F_15(x)))
Eq(F_42(x), F_43(x))
Eq(F_43(x), F_44(x) - F_52(x))
Eq(F_44(x), F_45(x)/F_15(x))
Eq(F_45(x), F_46(x))
Eq(F_46(x), F_47(x) - F_51(x))
Eq(F_47(x), F_48(x)/F_15(x))
Eq(F_48(x), F_49(x))
Eq(F_49(x), -F_2(x) + F_50(x))
Eq(F_50(x), -F_0(x) + F_32(x))
Eq(F_51(x), F_2(x)*F_32(x))
Eq(F_52(x), F_53(x)/F_15(x))
Eq(F_53(x), F_54(x))
Eq(F_54(x), F_55(x) - F_57(x))
Eq(F_55(x), F_56(x)/F_15(x))
Eq(F_56(x), F_50(x))
Eq(F_57(x), F_249(x) + F_58(x))
Eq(F_58(x), F_0(x) + F_59(x))
Eq(F_59(x), -F_247(x) + F_60(x))
Eq(F_60(x), F_61(x) - F_63(x))
Eq(F_61(x), F_62(x)/F_15(x))
Eq(F_62(x), F_49(x))
Eq(F_63(x), F_242(x) + F_64(x))
Eq(F_64(x), F_61(x) - F_65(x))
Eq(F_65(x), F_240(x) + F_66(x))
Eq(F_66(x), -F_239(x) + F_67(x))
Eq(F_67(x), F_68(x) - F_73(x))
Eq(F_68(x), F_69(x)/F_15(x))
Eq(F_69(x), F_70(x))
Eq(F_70(x), -F_0(x) + F_71(x))
Eq(F_71(x), F_72(x)/F_15(x))
Eq(F_72(x), F_2(x))
Eq(F_73(x), F_74(x) + F_75(x))
Eq(F_74(x), F_0(x)*F_70(x))
Eq(F_75(x), F_224(x) + F_76(x))
Eq(F_76(x), F_77(x))
Eq(F_77(x), F_15(x)*F_78(x))
Eq(F_78(x), F_79(x) + F_80(x))
Eq(F_79(x), F_59(x)*F_71(x))
Eq(F_80(x), F_0(x)*F_81(x))
Eq(F_81(x), F_59(x) + F_82(x))
Eq(F_82(x), F_83(x))
Eq(F_83(x), F_15(x)*F_84(x))
Eq(F_84(x), F_85(x) + F_87(x))
Eq(F_85(x), F_59(x)*F_86(x))
Eq(F_86(x), F_32(x) + F_39(x))
Eq(F_87(x), F_0(x)*F_88(x))
Eq(F_88(x), F_89(x))
Eq(F_89(x), F_15(x)*F_90(x))
Eq(F_90(x), F_91(x)/F_15(x))
Eq(F_91(x), F_92(x))
Eq(F_92(x), F_93(x) - F_98(x))
Eq(F_93(x), F_94(x)/F_15(x))
Eq(F_94(x), F_95(x))
Eq(F_95(x), -F_28(x) + F_96(x))
Eq(F_96(x), F_97(x)/F_15(x))
Eq(F_97(x), F_49(x))
Eq(F_98(x), F_99(x)/F_15(x))
Eq(F_99(x), F_100(x))
Eq(F_100(x), -F_101(x) + F_47(x))
Eq(F_101(x), F_102(x))
Eq(F_102(x), F_103(x)*F_15(x))
Eq(F_103(x), F_104(x)/F_15(x))
Eq(F_104(x), F_105(x))
Eq(F_105(x), F_106(x) + F_108(x))
Eq(F_106(x), F_107(x))
Eq(F_107(x), F_0(x)*F_15(x)*F_86(x))
Eq(F_108(x), F_109(x))
Eq(F_109(x), F_110(x)*F_15(x))
Eq(F_110(x), F_111(x) + F_114(x))
Eq(F_111(x), F_112(x)/F_15(x))
Eq(F_112(x), F_113(x))
Eq(F_113(x), -F_106(x) + F_28(x))
Eq(F_114(x), F_115(x))
Eq(F_115(x), F_116(x)*F_15(x))
Eq(F_116(x), F_117(x)/F_15(x))
Eq(F_117(x), F_118(x))
Eq(F_118(x), F_119(x) + F_132(x))
Eq(F_119(x), F_120(x)*F_129(x))
Eq(F_120(x), F_121(x) - F_126(x))
Eq(F_121(x), F_122(x) - F_124(x))
Eq(F_122(x), F_123(x)/(F_0(x)*F_15(x)))
Eq(F_123(x), F_65(x))
Eq(F_124(x), F_125(x)/F_15(x))
Eq(F_125(x), F_60(x))
Eq(F_126(x), F_127(x))
Eq(F_127(x), F_128(x)*F_15(x))
Eq(F_128(x), F_92(x))
Eq(F_129(x), F_1(x) + F_130(x))
Eq(F_130(x), F_131(x))
Eq(F_131(x), F_129(x)*F_15(x))
Eq(F_132(x), F_133(x))
Eq(F_133(x), F_120(x)*F_134(x)*F_15(x))
Eq(F_134(x), F_135(x)/(F_15(x)*F_160(x)))
Eq(F_135(x), F_136(x))
Eq(F_136(x), F_137(x) - F_223(x))
Eq(F_137(x), F_138(x) + F_146(x))
Eq(F_138(x), F_139(x)*F_15(x))
Eq(F_139(x), F_140(x) + F_2(x))
Eq(F_140(x), F_141(x))
Eq(F_141(x), F_142(x)*F_15(x))
Eq(F_142(x), F_143(x) + F_144(x))
Eq(F_143(x), F_129(x)*F_2(x))
Eq(F_144(x), F_145(x))
Eq(F_145(x), F_0(x)*F_134(x)*F_15(x))
Eq(F_146(x), F_147(x) - F_221(x))
Eq(F_147(x), F_148(x))
Eq(F_148(x), F_149(x) - F_164(x))
Eq(F_149(x), F_150(x)/F_15(x))
Eq(F_150(x), F_151(x))
Eq(F_151(x), F_152(x) - F_160(x))
Eq(F_152(x), F_153(x))
Eq(F_153(x), F_15(x)*F_154(x))
Eq(F_154(x), F_155(x) + F_158(x))
Eq(F_155(x), F_156(x) + F_23(x))
Eq(F_156(x), F_157(x))
Eq(F_157(x), F_15(x)*F_23(x)*F_86(x))
Eq(F_158(x), F_159(x))
Eq(F_159(x), F_15(x)*F_37(x))
Eq(F_160(x), F_15(x) + F_161(x))
Eq(F_161(x), F_162(x))
Eq(F_162(x), F_15(x)*F_163(x))
Eq(F_163(x), F_2(x) + F_59(x))
Eq(F_164(x), F_165(x)/F_129(x))
Eq(F_165(x), F_166(x) - F_179(x))
Eq(F_166(x), F_167(x) + F_171(x))
Eq(F_167(x), F_129(x)*F_168(x))
Eq(F_168(x), F_169(x)/F_15(x))
Eq(F_169(x), F_170(x))
Eq(F_170(x), F_151(x) + F_24(x))
Eq(F_171(x), F_172(x)*F_174(x))
Eq(F_172(x), F_173(x)/F_15(x))
Eq(F_173(x), F_24(x))
Eq(F_174(x), F_15(x) + F_175(x))
Eq(F_175(x), F_176(x) + F_177(x) + F_178(x))
Eq(F_176(x), 0)
Eq(F_177(x), F_15(x)*F_174(x))
Eq(F_178(x), F_130(x)*F_15(x))
Eq(F_179(x), F_180(x) + F_184(x))
Eq(F_180(x), F_172(x)*F_181(x))
Eq(F_181(x), F_182(x) + F_183(x))
Eq(F_182(x), F_1(x) + F_15(x))
Eq(F_183(x), F_130(x) + F_175(x))
Eq(F_184(x), F_185(x))
Eq(F_185(x), F_186(x) - F_220(x))
Eq(F_186(x), F_187(x) - F_197(x))
Eq(F_187(x), F_188(x)/F_15(x))
Eq(F_188(x), F_189(x))
Eq(F_189(x), F_190(x) + F_196(x))
Eq(F_190(x), F_191(x)*F_24(x))
Eq(F_191(x), F_1(x) + F_192(x))
Eq(F_192(x), F_193(x))
Eq(F_193(x), F_15(x)*F_194(x))
Eq(F_194(x), F_191(x) + F_195(x))
Eq(F_195(x), F_130(x))
Eq(F_196(x), F_129(x)*F_151(x))
Eq(F_197(x), F_198(x) - F_217(x))
Eq(F_198(x), F_199(x)/F_15(x))
Eq(F_199(x), F_200(x))
Eq(F_200(x), F_201(x) - F_208(x))
Eq(F_201(x), F_202(x)/F_15(x))
Eq(F_202(x), F_203(x))
Eq(F_203(x), F_15(x)*F_204(x))
Eq(F_204(x), F_205(x) + F_207(x))
Eq(F_205(x), F_206(x))
Eq(F_206(x), F_130(x)*F_154(x))
Eq(F_207(x), F_192(x)*F_26(x))
Eq(F_208(x), F_130(x)*F_209(x))
Eq(F_209(x), F_210(x) + F_211(x))
Eq(F_210(x), F_0(x)*F_129(x))
Eq(F_211(x), F_212(x))
Eq(F_212(x), F_0(x)*F_15(x)*F_213(x))
Eq(F_213(x), F_214(x)/(F_15(x)*F_23(x)))
Eq(F_214(x), F_215(x))
Eq(F_215(x), F_154(x) - F_216(x))
Eq(F_216(x), F_129(x)*F_23(x))
Eq(F_217(x), F_181(x)*F_218(x))
Eq(F_218(x), F_219(x)/F_15(x))
Eq(F_219(x), F_24(x))
Eq(F_220(x), F_191(x)*F_218(x))
Eq(F_221(x), F_15(x)*F_222(x))
Eq(F_222(x), F_129(x) + F_139(x))
Eq(F_223(x), F_129(x)*F_161(x))
Eq(F_224(x), F_225(x))
Eq(F_225(x), F_15(x)*F_226(x))
Eq(F_226(x), F_227(x) + F_237(x))
Eq(F_227(x), F_228(x) + F_234(x))
Eq(F_228(x), F_154(x)*F_229(x))
Eq(F_229(x), F_230(x))
Eq(F_230(x), F_15(x)*F_231(x))
Eq(F_231(x), F_232(x) + F_233(x))
Eq(F_232(x), F_2(x)*F_71(x))
Eq(F_233(x), F_66(x) + F_75(x))
Eq(F_234(x), F_121(x)*F_235(x))
Eq(F_235(x), F_236(x))
Eq(F_236(x), F_0(x)*F_15(x)*F_22(x))
Eq(F_237(x), F_238(x))
Eq(F_238(x), F_121(x)*F_70(x))
Eq(F_239(x), F_0(x)**2)
Eq(F_240(x), F_241(x))
Eq(F_241(x), F_0(x)*F_15(x)*F_81(x))
Eq(F_242(x), F_243(x))
Eq(F_243(x), F_15(x)*F_244(x))
Eq(F_244(x), F_245(x) + F_246(x))
Eq(F_245(x), F_79(x) + F_80(x))
Eq(F_246(x), F_247(x)*F_71(x))
Eq(F_247(x), F_248(x))
Eq(F_248(x), F_15(x)*F_81(x))
Eq(F_249(x), F_250(x) + F_70(x))
Eq(F_250(x), F_251(x))
Eq(F_251(x), F_15(x)*F_2(x)*F_68(x))
Eq(F_252(x), F_253(x))
Eq(F_253(x), F_15(x)*F_19(x)*F_254(x))
Eq(F_254(x), F_0(x) + F_255(x))
Eq(F_255(x), F_256(x))
Eq(F_256(x), F_0(x)*F_15(x)*F_254(x))
Eq(F_257(x), F_258(x))
Eq(F_258(x), F_15(x)*F_259(x))
Eq(F_259(x), F_260(x) + F_276(x))
Eq(F_260(x), F_13(x) - F_261(x))
Eq(F_261(x), F_262(x))
Eq(F_262(x), F_15(x)*F_263(x))
Eq(F_263(x), F_264(x) + F_274(x))
Eq(F_264(x), F_12(x) + F_265(x))
Eq(F_265(x), F_266(x))
Eq(F_266(x), F_15(x)*F_267(x))
Eq(F_267(x), F_268(x) + F_272(x))
Eq(F_268(x), F_269(x) + F_270(x))
Eq(F_269(x), F_12(x)*F_23(x))
Eq(F_270(x), F_271(x))
Eq(F_271(x), F_152(x)*F_18(x))
Eq(F_272(x), F_273(x))
Eq(F_273(x), F_152(x)*F_259(x))
Eq(F_274(x), F_275(x))
Eq(F_275(x), F_0(x)*F_15(x)*F_259(x))
Eq(F_276(x), F_277(x))
Eq(F_277(x), F_15(x)*F_254(x)*F_260(x))
Eq(F_278(x), F_279(x))
Eq(F_279(x), F_15(x)*F_280(x))
Eq(F_280(x), F_281(x) + F_282(x))
Eq(F_281(x), F_23(x)*F_8(x))
Eq(F_282(x), F_283(x))
Eq(F_283(x), F_15(x)*F_284(x))
Eq(F_284(x), F_285(x) + F_289(x))
Eq(F_285(x), F_286(x) + F_287(x))
Eq(F_286(x), F_11(x)*F_154(x))
Eq(F_287(x), F_288(x))
Eq(F_288(x), F_121(x)*F_18(x))
Eq(F_289(x), F_290(x))
Eq(F_290(x), F_121(x)*F_259(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, 3, 4, 1], [0, 2, 4, 1, 3], [0, 2, 4, 3, 1], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1], [0, 4, 2, 1, 3], [0, 4, 2, 3, 1], [0, 4, 3, 2, 1], [3, 0, 2, 4, 1], [3, 0, 4, 2, 1]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 2, 4, 1, 3], [0, 2, 4, 3, 1], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1], [0, 4, 2, 1, 3], [0, 4, 2, 3, 1], [0, 4, 3, 2, 1], [3, 0, 2, 4, 1], [3, 0, 4, 2, 1]], "symmetry": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 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0, 2, 4, 1], "pos": [[1, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[1, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 4]]}], [{"patt": [0], "pos": [[2, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[1, 0]]}], "indices": [0], "direction": 1, "own_col": true, "own_row": true, "include_empty": false}}, "idx": 0}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalenceRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [1, 0, 2], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 0], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [2, 1, 0], "pos": [[0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 2]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[1, 2], [1, 0]]}, {"patt": [1, 0, 2], "pos": [[1, 2], [1, 2], [1, 2]]}, {"patt": [1, 2, 0], "pos": [[1, 2], [1, 2], [1, 2]]}, {"patt": [2, 1, 0], "pos": [[1, 2], [1, 2], [1, 2]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}], "indices": [0], "direction": 2, "own_col": true, "own_row": true, "include_empty": true}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalenceRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 0]]}, {"patt": [1, 0, 2], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [1, 2, 0], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [2, 1, 0], "pos": [[0, 1], [0, 1], [0, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 0]]}, {"patt": [1, 0, 2], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [1, 2, 0], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [2, 1, 0], "pos": [[0, 1], [0, 1], [0, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementInsertionStrategy", "ignore_parent": true, "gps": [{"patt": [0], "pos": [[0, 1]]}]}}}]}, {"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/24624/
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[15,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[6,x]
F[6,x] = F[15,x]*F[7,x]
F[7,x] = F[267,x]+F[8,x]
F[8,x] = F[4,x]+F[9,x]
F[9,x] = F[10,x]
F[10,x] = F[11,x]*F[15,x]
F[11,x] = F[12,x]+F[246,x]
F[12,x] = F[13,x]+F[16,x]
F[13,x] = 1/F[15,x]*F[14,x]
F[14,x] = F[5,x]
F[15,x] = x
F[16,x] = F[17,x]
F[17,x] = F[15,x]*F[18,x]
F[18,x] = F[19,x]+F[241,x]
F[19,x] = F[20,x]+F[4,x]
F[20,x] = F[21,x]
F[21,x] = F[15,x]*F[22,x]*F[4,x]
F[22,x] = F[152,x]+F[23,x]
F[23,x] = F[0,x]+F[24,x]
F[24,x] = F[25,x]
F[25,x] = F[15,x]*F[26,x]
F[26,x] = F[27,x]+F[96,x]
F[27,x] = F[23,x]+F[28,x]
F[28,x] = F[29,x]
F[29,x] = F[15,x]*F[30,x]
F[30,x] = F[31,x]+F[34,x]
F[31,x] = F[23,x]*F[32,x]
F[32,x] = 1/F[15,x]*F[33,x]
F[33,x] = F[2,x]
F[34,x] = F[35,x]
F[35,x] = F[15,x]*F[23,x]*F[36,x]
F[36,x] = F[138,x]+F[37,x]
F[37,x] = 1/F[15,x]*F[38,x]
F[38,x] = F[39,x]
F[39,x] = F[40,x]
F[40,x] = F[15,x]*F[41,x]
F[41,x] = 1/F[0,x]/F[15,x]*F[42,x]
F[42,x] = F[43,x]
F[43,x] = -F[52,x]+F[44,x]
F[44,x] = 1/F[15,x]*F[45,x]
F[45,x] = F[46,x]
F[46,x] = -F[51,x]+F[47,x]
F[47,x] = 1/F[15,x]*F[48,x]
F[48,x] = F[49,x]
F[49,x] = -F[2,x]+F[50,x]
F[50,x] = -F[0,x]+F[32,x]
F[51,x] = F[2,x]*F[32,x]
F[52,x] = 1/F[15,x]*F[53,x]
F[53,x] = F[54,x]
F[54,x] = -F[58,x]+F[55,x]
F[55,x] = 1/F[15,x]*F[56,x]
F[56,x] = F[57,x]
F[57,x] = F[2,x]+F[49,x]
F[58,x] = F[238,x]+F[59,x]
F[59,x] = -F[234,x]+F[60,x]
F[60,x] = -F[66,x]+F[61,x]
F[61,x] = 1/F[15,x]*F[62,x]
F[62,x] = F[63,x]
F[63,x] = -F[0,x]+F[64,x]
F[64,x] = 1/F[15,x]*F[65,x]
F[65,x] = F[2,x]
F[66,x] = F[67,x]+F[68,x]
F[67,x] = F[0,x]*F[63,x]
F[68,x] = F[214,x]+F[69,x]
F[69,x] = F[70,x]
F[70,x] = F[15,x]*F[71,x]
F[71,x] = F[72,x]+F[82,x]
F[72,x] = F[64,x]*F[73,x]
F[73,x] = F[74,x]
F[74,x] = F[15,x]*F[75,x]
F[75,x] = F[76,x]+F[80,x]
F[76,x] = F[23,x]+F[77,x]
F[77,x] = F[78,x]
F[78,x] = F[15,x]*F[23,x]*F[79,x]
F[79,x] = F[32,x]+F[39,x]
F[80,x] = F[81,x]
F[81,x] = F[15,x]*F[37,x]
F[82,x] = F[0,x]*F[83,x]
F[83,x] = F[73,x]+F[84,x]
F[84,x] = F[85,x]
F[85,x] = F[15,x]*F[86,x]
F[86,x] = F[87,x]+F[88,x]
F[87,x] = F[73,x]*F[79,x]
F[88,x] = F[0,x]*F[89,x]
F[89,x] = F[90,x]
F[90,x] = F[15,x]*F[91,x]
F[91,x] = 1/F[15,x]*F[92,x]
F[92,x] = F[93,x]
F[93,x] = -F[99,x]+F[94,x]
F[94,x] = 1/F[15,x]*F[95,x]
F[95,x] = F[96,x]
F[96,x] = -F[28,x]+F[97,x]
F[97,x] = 1/F[15,x]*F[98,x]
F[98,x] = F[49,x]
F[99,x] = 1/F[15,x]*F[100,x]
F[100,x] = F[101,x]
F[101,x] = -F[102,x]+F[47,x]
F[102,x] = F[103,x]
F[103,x] = F[104,x]*F[15,x]
F[104,x] = 1/F[15,x]*F[105,x]
F[105,x] = F[106,x]
F[106,x] = F[107,x]+F[109,x]
F[107,x] = F[108,x]
F[108,x] = F[0,x]*F[15,x]*F[79,x]
F[109,x] = F[110,x]
F[110,x] = F[111,x]*F[15,x]
F[111,x] = F[112,x]+F[115,x]
F[112,x] = 1/F[15,x]*F[113,x]
F[113,x] = F[114,x]
F[114,x] = -F[107,x]+F[28,x]
F[115,x] = F[116,x]
F[116,x] = F[117,x]*F[15,x]
F[117,x] = 1/F[15,x]*F[118,x]
F[118,x] = F[119,x]
F[119,x] = F[120,x]+F[142,x]
F[120,x] = F[121,x]*F[139,x]
F[121,x] = -F[136,x]+F[122,x]
F[122,x] = -F[134,x]+F[123,x]
F[123,x] = 1/F[0,x]/F[15,x]*F[124,x]
F[124,x] = F[125,x]
F[125,x] = F[126,x]+F[129,x]
F[126,x] = F[127,x]+F[73,x]
F[127,x] = F[128,x]
F[128,x] = F[15,x]*F[83,x]
F[129,x] = F[130,x]
F[130,x] = F[131,x]*F[15,x]
F[131,x] = F[132,x]+F[133,x]
F[132,x] = F[72,x]+F[82,x]
F[133,x] = F[127,x]*F[64,x]
F[134,x] = 1/F[15,x]*F[135,x]
F[135,x] = F[126,x]
F[136,x] = F[137,x]
F[137,x] = F[138,x]*F[15,x]
F[138,x] = F[93,x]
F[139,x] = F[1,x]+F[140,x]
F[140,x] = F[141,x]
F[141,x] = F[139,x]*F[15,x]
F[142,x] = F[143,x]
F[143,x] = F[121,x]*F[144,x]*F[15,x]
F[144,x] = 1/F[15,x]/F[154,x]*F[145,x]
F[145,x] = F[146,x]
F[146,x] = -F[213,x]+F[147,x]
F[147,x] = F[148,x]
F[148,x] = -F[156,x]+F[149,x]
F[149,x] = 1/F[15,x]*F[150,x]
F[150,x] = F[151,x]
F[151,x] = -F[154,x]+F[152,x]
F[152,x] = F[153,x]
F[153,x] = F[15,x]*F[75,x]
F[154,x] = F[155,x]
F[155,x] = F[15,x]*F[59,x]
F[156,x] = 1/F[139,x]*F[157,x]
F[157,x] = -F[171,x]+F[158,x]
F[158,x] = F[159,x]+F[163,x]
F[159,x] = F[139,x]*F[160,x]
F[160,x] = 1/F[15,x]*F[161,x]
F[161,x] = F[162,x]
F[162,x] = F[151,x]+F[24,x]
F[163,x] = F[164,x]*F[166,x]
F[164,x] = 1/F[15,x]*F[165,x]
F[165,x] = F[24,x]
F[166,x] = F[15,x]+F[167,x]
F[167,x] = F[168,x]+F[169,x]+F[170,x]
F[168,x] = 0
F[169,x] = F[15,x]*F[166,x]
F[170,x] = F[140,x]*F[15,x]
F[171,x] = F[172,x]+F[176,x]
F[172,x] = F[164,x]*F[173,x]
F[173,x] = F[174,x]+F[175,x]
F[174,x] = F[1,x]+F[15,x]
F[175,x] = F[140,x]+F[167,x]
F[176,x] = F[177,x]
F[177,x] = -F[212,x]+F[178,x]
F[178,x] = -F[189,x]+F[179,x]
F[179,x] = 1/F[15,x]*F[180,x]
F[180,x] = F[181,x]
F[181,x] = F[182,x]+F[188,x]
F[182,x] = F[183,x]*F[24,x]
F[183,x] = F[1,x]+F[184,x]
F[184,x] = F[185,x]
F[185,x] = F[15,x]*F[186,x]
F[186,x] = F[183,x]+F[187,x]
F[187,x] = F[140,x]
F[188,x] = F[139,x]*F[151,x]
F[189,x] = -F[209,x]+F[190,x]
F[190,x] = 1/F[15,x]*F[191,x]
F[191,x] = F[192,x]
F[192,x] = -F[200,x]+F[193,x]
F[193,x] = 1/F[15,x]*F[194,x]
F[194,x] = F[195,x]
F[195,x] = F[15,x]*F[196,x]
F[196,x] = F[197,x]+F[199,x]
F[197,x] = F[198,x]
F[198,x] = F[140,x]*F[75,x]
F[199,x] = F[184,x]*F[26,x]
F[200,x] = F[140,x]*F[201,x]
F[201,x] = F[202,x]+F[203,x]
F[202,x] = F[0,x]*F[139,x]
F[203,x] = F[204,x]
F[204,x] = F[0,x]*F[15,x]*F[205,x]
F[205,x] = 1/F[15,x]/F[23,x]*F[206,x]
F[206,x] = F[207,x]
F[207,x] = -F[208,x]+F[75,x]
F[208,x] = F[139,x]*F[23,x]
F[209,x] = F[173,x]*F[210,x]
F[210,x] = 1/F[15,x]*F[211,x]
F[211,x] = F[24,x]
F[212,x] = F[183,x]*F[210,x]
F[213,x] = F[139,x]*F[154,x]
F[214,x] = F[215,x]
F[215,x] = F[15,x]*F[216,x]
F[216,x] = F[217,x]+F[232,x]
F[217,x] = F[218,x]+F[231,x]
F[218,x] = F[219,x]*F[75,x]
F[219,x] = F[220,x]
F[220,x] = F[15,x]*F[221,x]
F[221,x] = F[222,x]+F[223,x]
F[222,x] = F[2,x]*F[23,x]
F[223,x] = F[224,x]
F[224,x] = F[15,x]*F[225,x]
F[225,x] = F[226,x]+F[227,x]
F[226,x] = F[134,x]*F[64,x]
F[227,x] = F[122,x]*F[228,x]
F[228,x] = F[0,x]+F[229,x]
F[229,x] = F[230,x]
F[230,x] = F[0,x]*F[15,x]*F[22,x]
F[231,x] = F[122,x]*F[229,x]
F[232,x] = F[233,x]
F[233,x] = F[122,x]*F[63,x]
F[234,x] = F[235,x]+F[236,x]
F[235,x] = F[0,x]*F[2,x]
F[236,x] = F[237,x]
F[237,x] = F[132,x]*F[15,x]
F[238,x] = F[239,x]+F[63,x]
F[239,x] = F[240,x]
F[240,x] = F[15,x]*F[2,x]*F[61,x]
F[241,x] = F[242,x]
F[242,x] = F[15,x]*F[19,x]*F[243,x]
F[243,x] = F[0,x]+F[244,x]
F[244,x] = F[245,x]
F[245,x] = F[0,x]*F[15,x]*F[243,x]
F[246,x] = F[247,x]
F[247,x] = F[15,x]*F[248,x]
F[248,x] = F[249,x]+F[265,x]
F[249,x] = -F[250,x]+F[13,x]
F[250,x] = F[251,x]
F[251,x] = F[15,x]*F[252,x]
F[252,x] = F[253,x]+F[263,x]
F[253,x] = F[12,x]+F[254,x]
F[254,x] = F[255,x]
F[255,x] = F[15,x]*F[256,x]
F[256,x] = F[257,x]+F[261,x]
F[257,x] = F[258,x]+F[259,x]
F[258,x] = F[12,x]*F[23,x]
F[259,x] = F[260,x]
F[260,x] = F[152,x]*F[18,x]
F[261,x] = F[262,x]
F[262,x] = F[152,x]*F[248,x]
F[263,x] = F[264,x]
F[264,x] = F[0,x]*F[15,x]*F[248,x]
F[265,x] = F[266,x]
F[266,x] = F[15,x]*F[243,x]*F[249,x]
F[267,x] = F[268,x]
F[268,x] = F[15,x]*F[269,x]
F[269,x] = F[270,x]+F[271,x]
F[270,x] = F[23,x]*F[8,x]
F[271,x] = F[272,x]
F[272,x] = F[15,x]*F[273,x]
F[273,x] = F[274,x]+F[278,x]
F[274,x] = F[275,x]+F[276,x]
F[275,x] = F[11,x]*F[75,x]
F[276,x] = F[277,x]
F[277,x] = F[122,x]*F[248,x]
F[278,x] = F[279,x]
F[279,x] = F[122,x]*F[18,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_{15}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{15}\! \left(x \right) F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{267}\! \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_{10}\! \left(x \right) = F_{11}\! \left(x \right) F_{15}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)+F_{246}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)+F_{16}\! \left(x \right)
F_{13}\! \left(x \right) = \frac{F_{14}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{14}\! \left(x \right) = F_{5}\! \left(x \right)
F_{15}\! \left(x \right) = x
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{15}\! \left(x \right) F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)+F_{241}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)+F_{4}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{15}\! \left(x \right) F_{22}\! \left(x \right) F_{4}\! \left(x \right)
F_{22}\! \left(x \right) = F_{152}\! \left(x \right)+F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{0}\! \left(x \right)+F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{15}\! \left(x \right) F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)+F_{96}\! \left(x \right)
F_{27}\! \left(x \right) = F_{23}\! \left(x \right)+F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{15}\! \left(x \right) F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = F_{31}\! \left(x \right)+F_{34}\! \left(x \right)
F_{31}\! \left(x \right) = F_{23}\! \left(x \right) F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = \frac{F_{33}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{33}\! \left(x \right) = F_{2}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{15}\! \left(x \right) F_{23}\! \left(x \right) F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = F_{138}\! \left(x \right)+F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = \frac{F_{38}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{15}\! \left(x \right) F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = \frac{F_{42}\! \left(x \right)}{F_{0}\! \left(x \right) F_{15}\! \left(x \right)}
F_{42}\! \left(x \right) = F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = -F_{52}\! \left(x \right)+F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = \frac{F_{45}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = -F_{51}\! \left(x \right)+F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = \frac{F_{48}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{48}\! \left(x \right) = F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{32}\! \left(x \right)
F_{51}\! \left(x \right) = F_{2}\! \left(x \right) F_{32}\! \left(x \right)
F_{52}\! \left(x \right) = \frac{F_{53}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{53}\! \left(x \right) = F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = -F_{58}\! \left(x \right)+F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = \frac{F_{56}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{56}\! \left(x \right) = F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = F_{2}\! \left(x \right)+F_{49}\! \left(x \right)
F_{58}\! \left(x \right) = F_{238}\! \left(x \right)+F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = -F_{234}\! \left(x \right)+F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = -F_{66}\! \left(x \right)+F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = \frac{F_{62}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = \frac{F_{65}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{65}\! \left(x \right) = F_{2}\! \left(x \right)
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)+F_{68}\! \left(x \right)
F_{67}\! \left(x \right) = F_{0}\! \left(x \right) F_{63}\! \left(x \right)
F_{68}\! \left(x \right) = F_{214}\! \left(x \right)+F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{15}\! \left(x \right) F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{72}\! \left(x \right)+F_{82}\! \left(x \right)
F_{72}\! \left(x \right) = F_{64}\! \left(x \right) F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{15}\! \left(x \right) F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{76}\! \left(x \right)+F_{80}\! \left(x \right)
F_{76}\! \left(x \right) = F_{23}\! \left(x \right)+F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{15}\! \left(x \right) F_{23}\! \left(x \right) F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{32}\! \left(x \right)+F_{39}\! \left(x \right)
F_{80}\! \left(x \right) = F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{15}\! \left(x \right) F_{37}\! \left(x \right)
F_{82}\! \left(x \right) = F_{0}\! \left(x \right) F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = F_{73}\! \left(x \right)+F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{15}\! \left(x \right) F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{87}\! \left(x \right)+F_{88}\! \left(x \right)
F_{87}\! \left(x \right) = F_{73}\! \left(x \right) F_{79}\! \left(x \right)
F_{88}\! \left(x \right) = F_{0}\! \left(x \right) F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{15}\! \left(x \right) F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = \frac{F_{92}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{92}\! \left(x \right) = F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = -F_{99}\! \left(x \right)+F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = \frac{F_{95}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{95}\! \left(x \right) = F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = -F_{28}\! \left(x \right)+F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = \frac{F_{98}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{98}\! \left(x \right) = F_{49}\! \left(x \right)
F_{99}\! \left(x \right) = \frac{F_{100}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)
F_{101}\! \left(x \right) = -F_{102}\! \left(x \right)+F_{47}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right) F_{15}\! \left(x \right)
F_{104}\! \left(x \right) = \frac{F_{105}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{105}\! \left(x \right) = F_{106}\! \left(x \right)
F_{106}\! \left(x \right) = F_{107}\! \left(x \right)+F_{109}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right)
F_{108}\! \left(x \right) = F_{0}\! \left(x \right) F_{15}\! \left(x \right) F_{79}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right) F_{15}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right)+F_{115}\! \left(x \right)
F_{112}\! \left(x \right) = \frac{F_{113}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{113}\! \left(x \right) = F_{114}\! \left(x \right)
F_{114}\! \left(x \right) = -F_{107}\! \left(x \right)+F_{28}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right)
F_{116}\! \left(x \right) = F_{117}\! \left(x \right) F_{15}\! \left(x \right)
F_{117}\! \left(x \right) = \frac{F_{118}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{118}\! \left(x \right) = F_{119}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)+F_{142}\! \left(x \right)
F_{120}\! \left(x \right) = F_{121}\! \left(x \right) F_{139}\! \left(x \right)
F_{121}\! \left(x \right) = -F_{136}\! \left(x \right)+F_{122}\! \left(x \right)
F_{122}\! \left(x \right) = -F_{134}\! \left(x \right)+F_{123}\! \left(x \right)
F_{123}\! \left(x \right) = \frac{F_{124}\! \left(x \right)}{F_{0}\! \left(x \right) F_{15}\! \left(x \right)}
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)+F_{129}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right)+F_{73}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right)
F_{128}\! \left(x \right) = F_{15}\! \left(x \right) F_{83}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right) F_{15}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right)+F_{133}\! \left(x \right)
F_{132}\! \left(x \right) = F_{72}\! \left(x \right)+F_{82}\! \left(x \right)
F_{133}\! \left(x \right) = F_{127}\! \left(x \right) F_{64}\! \left(x \right)
F_{134}\! \left(x \right) = \frac{F_{135}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{135}\! \left(x \right) = F_{126}\! \left(x \right)
F_{136}\! \left(x \right) = F_{137}\! \left(x \right)
F_{137}\! \left(x \right) = F_{138}\! \left(x \right) F_{15}\! \left(x \right)
F_{138}\! \left(x \right) = F_{93}\! \left(x \right)
F_{139}\! \left(x \right) = F_{1}\! \left(x \right)+F_{140}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right)
F_{141}\! \left(x \right) = F_{139}\! \left(x \right) F_{15}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right)
F_{143}\! \left(x \right) = F_{121}\! \left(x \right) F_{144}\! \left(x \right) F_{15}\! \left(x \right)
F_{144}\! \left(x \right) = \frac{F_{145}\! \left(x \right)}{F_{15}\! \left(x \right) F_{154}\! \left(x \right)}
F_{145}\! \left(x \right) = F_{146}\! \left(x \right)
F_{146}\! \left(x \right) = -F_{213}\! \left(x \right)+F_{147}\! \left(x \right)
F_{147}\! \left(x \right) = F_{148}\! \left(x \right)
F_{148}\! \left(x \right) = -F_{156}\! \left(x \right)+F_{149}\! \left(x \right)
F_{149}\! \left(x \right) = \frac{F_{150}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{150}\! \left(x \right) = F_{151}\! \left(x \right)
F_{151}\! \left(x \right) = -F_{154}\! \left(x \right)+F_{152}\! \left(x \right)
F_{152}\! \left(x \right) = F_{153}\! \left(x \right)
F_{153}\! \left(x \right) = F_{15}\! \left(x \right) F_{75}\! \left(x \right)
F_{154}\! \left(x \right) = F_{155}\! \left(x \right)
F_{155}\! \left(x \right) = F_{15}\! \left(x \right) F_{59}\! \left(x \right)
F_{156}\! \left(x \right) = \frac{F_{157}\! \left(x \right)}{F_{139}\! \left(x \right)}
F_{157}\! \left(x \right) = -F_{171}\! \left(x \right)+F_{158}\! \left(x \right)
F_{158}\! \left(x \right) = F_{159}\! \left(x \right)+F_{163}\! \left(x \right)
F_{159}\! \left(x \right) = F_{139}\! \left(x \right) F_{160}\! \left(x \right)
F_{160}\! \left(x \right) = \frac{F_{161}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{161}\! \left(x \right) = F_{162}\! \left(x \right)
F_{162}\! \left(x \right) = F_{151}\! \left(x \right)+F_{24}\! \left(x \right)
F_{163}\! \left(x \right) = F_{164}\! \left(x \right) F_{166}\! \left(x \right)
F_{164}\! \left(x \right) = \frac{F_{165}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{165}\! \left(x \right) = F_{24}\! \left(x \right)
F_{166}\! \left(x \right) = F_{15}\! \left(x \right)+F_{167}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right)+F_{169}\! \left(x \right)+F_{170}\! \left(x \right)
F_{168}\! \left(x \right) = 0
F_{169}\! \left(x \right) = F_{15}\! \left(x \right) F_{166}\! \left(x \right)
F_{170}\! \left(x \right) = F_{140}\! \left(x \right) F_{15}\! \left(x \right)
F_{171}\! \left(x \right) = F_{172}\! \left(x \right)+F_{176}\! \left(x \right)
F_{172}\! \left(x \right) = F_{164}\! \left(x \right) F_{173}\! \left(x \right)
F_{173}\! \left(x \right) = F_{174}\! \left(x \right)+F_{175}\! \left(x \right)
F_{174}\! \left(x \right) = F_{1}\! \left(x \right)+F_{15}\! \left(x \right)
F_{175}\! \left(x \right) = F_{140}\! \left(x \right)+F_{167}\! \left(x \right)
F_{176}\! \left(x \right) = F_{177}\! \left(x \right)
F_{177}\! \left(x \right) = -F_{212}\! \left(x \right)+F_{178}\! \left(x \right)
F_{178}\! \left(x \right) = -F_{189}\! \left(x \right)+F_{179}\! \left(x \right)
F_{179}\! \left(x \right) = \frac{F_{180}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{180}\! \left(x \right) = F_{181}\! \left(x \right)
F_{181}\! \left(x \right) = F_{182}\! \left(x \right)+F_{188}\! \left(x \right)
F_{182}\! \left(x \right) = F_{183}\! \left(x \right) F_{24}\! \left(x \right)
F_{183}\! \left(x \right) = F_{1}\! \left(x \right)+F_{184}\! \left(x \right)
F_{184}\! \left(x \right) = F_{185}\! \left(x \right)
F_{185}\! \left(x \right) = F_{15}\! \left(x \right) F_{186}\! \left(x \right)
F_{186}\! \left(x \right) = F_{183}\! \left(x \right)+F_{187}\! \left(x \right)
F_{187}\! \left(x \right) = F_{140}\! \left(x \right)
F_{188}\! \left(x \right) = F_{139}\! \left(x \right) F_{151}\! \left(x \right)
F_{189}\! \left(x \right) = -F_{209}\! \left(x \right)+F_{190}\! \left(x \right)
F_{190}\! \left(x \right) = \frac{F_{191}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{191}\! \left(x \right) = F_{192}\! \left(x \right)
F_{192}\! \left(x \right) = -F_{200}\! \left(x \right)+F_{193}\! \left(x \right)
F_{193}\! \left(x \right) = \frac{F_{194}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{194}\! \left(x \right) = F_{195}\! \left(x \right)
F_{195}\! \left(x \right) = F_{15}\! \left(x \right) F_{196}\! \left(x \right)
F_{196}\! \left(x \right) = F_{197}\! \left(x \right)+F_{199}\! \left(x \right)
F_{197}\! \left(x \right) = F_{198}\! \left(x \right)
F_{198}\! \left(x \right) = F_{140}\! \left(x \right) F_{75}\! \left(x \right)
F_{199}\! \left(x \right) = F_{184}\! \left(x \right) F_{26}\! \left(x \right)
F_{200}\! \left(x \right) = F_{140}\! \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_{0}\! \left(x \right) F_{139}\! \left(x \right)
F_{203}\! \left(x \right) = F_{204}\! \left(x \right)
F_{204}\! \left(x \right) = F_{0}\! \left(x \right) F_{15}\! \left(x \right) F_{205}\! \left(x \right)
F_{205}\! \left(x \right) = \frac{F_{206}\! \left(x \right)}{F_{15}\! \left(x \right) F_{23}\! \left(x \right)}
F_{206}\! \left(x \right) = F_{207}\! \left(x \right)
F_{207}\! \left(x \right) = -F_{208}\! \left(x \right)+F_{75}\! \left(x \right)
F_{208}\! \left(x \right) = F_{139}\! \left(x \right) F_{23}\! \left(x \right)
F_{209}\! \left(x \right) = F_{173}\! \left(x \right) F_{210}\! \left(x \right)
F_{210}\! \left(x \right) = \frac{F_{211}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{211}\! \left(x \right) = F_{24}\! \left(x \right)
F_{212}\! \left(x \right) = F_{183}\! \left(x \right) F_{210}\! \left(x \right)
F_{213}\! \left(x \right) = F_{139}\! \left(x \right) F_{154}\! \left(x \right)
F_{214}\! \left(x \right) = F_{215}\! \left(x \right)
F_{215}\! \left(x \right) = F_{15}\! \left(x \right) F_{216}\! \left(x \right)
F_{216}\! \left(x \right) = F_{217}\! \left(x \right)+F_{232}\! \left(x \right)
F_{217}\! \left(x \right) = F_{218}\! \left(x \right)+F_{231}\! \left(x \right)
F_{218}\! \left(x \right) = F_{219}\! \left(x \right) F_{75}\! \left(x \right)
F_{219}\! \left(x \right) = F_{220}\! \left(x \right)
F_{220}\! \left(x \right) = F_{15}\! \left(x \right) F_{221}\! \left(x \right)
F_{221}\! \left(x \right) = F_{222}\! \left(x \right)+F_{223}\! \left(x \right)
F_{222}\! \left(x \right) = F_{2}\! \left(x \right) F_{23}\! \left(x \right)
F_{223}\! \left(x \right) = F_{224}\! \left(x \right)
F_{224}\! \left(x \right) = F_{15}\! \left(x \right) F_{225}\! \left(x \right)
F_{225}\! \left(x \right) = F_{226}\! \left(x \right)+F_{227}\! \left(x \right)
F_{226}\! \left(x \right) = F_{134}\! \left(x \right) F_{64}\! \left(x \right)
F_{227}\! \left(x \right) = F_{122}\! \left(x \right) F_{228}\! \left(x \right)
F_{228}\! \left(x \right) = F_{0}\! \left(x \right)+F_{229}\! \left(x \right)
F_{229}\! \left(x \right) = F_{230}\! \left(x \right)
F_{230}\! \left(x \right) = F_{0}\! \left(x \right) F_{15}\! \left(x \right) F_{22}\! \left(x \right)
F_{231}\! \left(x \right) = F_{122}\! \left(x \right) F_{229}\! \left(x \right)
F_{232}\! \left(x \right) = F_{233}\! \left(x \right)
F_{233}\! \left(x \right) = F_{122}\! \left(x \right) F_{63}\! \left(x \right)
F_{234}\! \left(x \right) = F_{235}\! \left(x \right)+F_{236}\! \left(x \right)
F_{235}\! \left(x \right) = F_{0}\! \left(x \right) F_{2}\! \left(x \right)
F_{236}\! \left(x \right) = F_{237}\! \left(x \right)
F_{237}\! \left(x \right) = F_{132}\! \left(x \right) F_{15}\! \left(x \right)
F_{238}\! \left(x \right) = F_{239}\! \left(x \right)+F_{63}\! \left(x \right)
F_{239}\! \left(x \right) = F_{240}\! \left(x \right)
F_{240}\! \left(x \right) = F_{15}\! \left(x \right) F_{2}\! \left(x \right) F_{61}\! \left(x \right)
F_{241}\! \left(x \right) = F_{242}\! \left(x \right)
F_{242}\! \left(x \right) = F_{15}\! \left(x \right) F_{19}\! \left(x \right) F_{243}\! \left(x \right)
F_{243}\! \left(x \right) = F_{0}\! \left(x \right)+F_{244}\! \left(x \right)
F_{244}\! \left(x \right) = F_{245}\! \left(x \right)
F_{245}\! \left(x \right) = F_{0}\! \left(x \right) F_{15}\! \left(x \right) F_{243}\! \left(x \right)
F_{246}\! \left(x \right) = F_{247}\! \left(x \right)
F_{247}\! \left(x \right) = F_{15}\! \left(x \right) F_{248}\! \left(x \right)
F_{248}\! \left(x \right) = F_{249}\! \left(x \right)+F_{265}\! \left(x \right)
F_{249}\! \left(x \right) = -F_{250}\! \left(x \right)+F_{13}\! \left(x \right)
F_{250}\! \left(x \right) = F_{251}\! \left(x \right)
F_{251}\! \left(x \right) = F_{15}\! \left(x \right) F_{252}\! \left(x \right)
F_{252}\! \left(x \right) = F_{253}\! \left(x \right)+F_{263}\! \left(x \right)
F_{253}\! \left(x \right) = F_{12}\! \left(x \right)+F_{254}\! \left(x \right)
F_{254}\! \left(x \right) = F_{255}\! \left(x \right)
F_{255}\! \left(x \right) = F_{15}\! \left(x \right) F_{256}\! \left(x \right)
F_{256}\! \left(x \right) = F_{257}\! \left(x \right)+F_{261}\! \left(x \right)
F_{257}\! \left(x \right) = F_{258}\! \left(x \right)+F_{259}\! \left(x \right)
F_{258}\! \left(x \right) = F_{12}\! \left(x \right) F_{23}\! \left(x \right)
F_{259}\! \left(x \right) = F_{260}\! \left(x \right)
F_{260}\! \left(x \right) = F_{152}\! \left(x \right) F_{18}\! \left(x \right)
F_{261}\! \left(x \right) = F_{262}\! \left(x \right)
F_{262}\! \left(x \right) = F_{152}\! \left(x \right) F_{248}\! \left(x \right)
F_{263}\! \left(x \right) = F_{264}\! \left(x \right)
F_{264}\! \left(x \right) = F_{0}\! \left(x \right) F_{15}\! \left(x \right) F_{248}\! \left(x \right)
F_{265}\! \left(x \right) = F_{266}\! \left(x \right)
F_{266}\! \left(x \right) = F_{15}\! \left(x \right) F_{243}\! \left(x \right) F_{249}\! \left(x \right)
F_{267}\! \left(x \right) = F_{268}\! \left(x \right)
F_{268}\! \left(x \right) = F_{15}\! \left(x \right) F_{269}\! \left(x \right)
F_{269}\! \left(x \right) = F_{270}\! \left(x \right)+F_{271}\! \left(x \right)
F_{270}\! \left(x \right) = F_{23}\! \left(x \right) F_{8}\! \left(x \right)
F_{271}\! \left(x \right) = F_{272}\! \left(x \right)
F_{272}\! \left(x \right) = F_{15}\! \left(x \right) F_{273}\! \left(x \right)
F_{273}\! \left(x \right) = F_{274}\! \left(x \right)+F_{278}\! \left(x \right)
F_{274}\! \left(x \right) = F_{275}\! \left(x \right)+F_{276}\! \left(x \right)
F_{275}\! \left(x \right) = F_{11}\! \left(x \right) F_{75}\! \left(x \right)
F_{276}\! \left(x \right) = F_{277}\! \left(x \right)
F_{277}\! \left(x \right) = F_{122}\! \left(x \right) F_{248}\! \left(x \right)
F_{278}\! \left(x \right) = F_{279}\! \left(x \right)
F_{279}\! \left(x \right) = F_{122}\! \left(x \right) F_{18}\! \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_15(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_6(x))
Eq(F_6(x), F_15(x)*F_7(x))
Eq(F_7(x), F_267(x) + F_8(x))
Eq(F_8(x), F_4(x) + F_9(x))
Eq(F_9(x), F_10(x))
Eq(F_10(x), F_11(x)*F_15(x))
Eq(F_11(x), F_12(x) + F_246(x))
Eq(F_12(x), F_13(x) + F_16(x))
Eq(F_13(x), F_14(x)/F_15(x))
Eq(F_14(x), F_5(x))
Eq(F_15(x), x)
Eq(F_16(x), F_17(x))
Eq(F_17(x), F_15(x)*F_18(x))
Eq(F_18(x), F_19(x) + F_241(x))
Eq(F_19(x), F_20(x) + F_4(x))
Eq(F_20(x), F_21(x))
Eq(F_21(x), F_15(x)*F_22(x)*F_4(x))
Eq(F_22(x), F_152(x) + F_23(x))
Eq(F_23(x), F_0(x) + F_24(x))
Eq(F_24(x), F_25(x))
Eq(F_25(x), F_15(x)*F_26(x))
Eq(F_26(x), F_27(x) + F_96(x))
Eq(F_27(x), F_23(x) + F_28(x))
Eq(F_28(x), F_29(x))
Eq(F_29(x), F_15(x)*F_30(x))
Eq(F_30(x), F_31(x) + F_34(x))
Eq(F_31(x), F_23(x)*F_32(x))
Eq(F_32(x), F_33(x)/F_15(x))
Eq(F_33(x), F_2(x))
Eq(F_34(x), F_35(x))
Eq(F_35(x), F_15(x)*F_23(x)*F_36(x))
Eq(F_36(x), F_138(x) + F_37(x))
Eq(F_37(x), F_38(x)/F_15(x))
Eq(F_38(x), F_39(x))
Eq(F_39(x), F_40(x))
Eq(F_40(x), F_15(x)*F_41(x))
Eq(F_41(x), F_42(x)/(F_0(x)*F_15(x)))
Eq(F_42(x), F_43(x))
Eq(F_43(x), F_44(x) - F_52(x))
Eq(F_44(x), F_45(x)/F_15(x))
Eq(F_45(x), F_46(x))
Eq(F_46(x), F_47(x) - F_51(x))
Eq(F_47(x), F_48(x)/F_15(x))
Eq(F_48(x), F_49(x))
Eq(F_49(x), -F_2(x) + F_50(x))
Eq(F_50(x), -F_0(x) + F_32(x))
Eq(F_51(x), F_2(x)*F_32(x))
Eq(F_52(x), F_53(x)/F_15(x))
Eq(F_53(x), F_54(x))
Eq(F_54(x), F_55(x) - F_58(x))
Eq(F_55(x), F_56(x)/F_15(x))
Eq(F_56(x), F_57(x))
Eq(F_57(x), F_2(x) + F_49(x))
Eq(F_58(x), F_238(x) + F_59(x))
Eq(F_59(x), -F_234(x) + F_60(x))
Eq(F_60(x), F_61(x) - F_66(x))
Eq(F_61(x), F_62(x)/F_15(x))
Eq(F_62(x), F_63(x))
Eq(F_63(x), -F_0(x) + F_64(x))
Eq(F_64(x), F_65(x)/F_15(x))
Eq(F_65(x), F_2(x))
Eq(F_66(x), F_67(x) + F_68(x))
Eq(F_67(x), F_0(x)*F_63(x))
Eq(F_68(x), F_214(x) + F_69(x))
Eq(F_69(x), F_70(x))
Eq(F_70(x), F_15(x)*F_71(x))
Eq(F_71(x), F_72(x) + F_82(x))
Eq(F_72(x), F_64(x)*F_73(x))
Eq(F_73(x), F_74(x))
Eq(F_74(x), F_15(x)*F_75(x))
Eq(F_75(x), F_76(x) + F_80(x))
Eq(F_76(x), F_23(x) + F_77(x))
Eq(F_77(x), F_78(x))
Eq(F_78(x), F_15(x)*F_23(x)*F_79(x))
Eq(F_79(x), F_32(x) + F_39(x))
Eq(F_80(x), F_81(x))
Eq(F_81(x), F_15(x)*F_37(x))
Eq(F_82(x), F_0(x)*F_83(x))
Eq(F_83(x), F_73(x) + F_84(x))
Eq(F_84(x), F_85(x))
Eq(F_85(x), F_15(x)*F_86(x))
Eq(F_86(x), F_87(x) + F_88(x))
Eq(F_87(x), F_73(x)*F_79(x))
Eq(F_88(x), F_0(x)*F_89(x))
Eq(F_89(x), F_90(x))
Eq(F_90(x), F_15(x)*F_91(x))
Eq(F_91(x), F_92(x)/F_15(x))
Eq(F_92(x), F_93(x))
Eq(F_93(x), F_94(x) - F_99(x))
Eq(F_94(x), F_95(x)/F_15(x))
Eq(F_95(x), F_96(x))
Eq(F_96(x), -F_28(x) + F_97(x))
Eq(F_97(x), F_98(x)/F_15(x))
Eq(F_98(x), F_49(x))
Eq(F_99(x), F_100(x)/F_15(x))
Eq(F_100(x), F_101(x))
Eq(F_101(x), -F_102(x) + F_47(x))
Eq(F_102(x), F_103(x))
Eq(F_103(x), F_104(x)*F_15(x))
Eq(F_104(x), F_105(x)/F_15(x))
Eq(F_105(x), F_106(x))
Eq(F_106(x), F_107(x) + F_109(x))
Eq(F_107(x), F_108(x))
Eq(F_108(x), F_0(x)*F_15(x)*F_79(x))
Eq(F_109(x), F_110(x))
Eq(F_110(x), F_111(x)*F_15(x))
Eq(F_111(x), F_112(x) + F_115(x))
Eq(F_112(x), F_113(x)/F_15(x))
Eq(F_113(x), F_114(x))
Eq(F_114(x), -F_107(x) + F_28(x))
Eq(F_115(x), F_116(x))
Eq(F_116(x), F_117(x)*F_15(x))
Eq(F_117(x), F_118(x)/F_15(x))
Eq(F_118(x), F_119(x))
Eq(F_119(x), F_120(x) + F_142(x))
Eq(F_120(x), F_121(x)*F_139(x))
Eq(F_121(x), F_122(x) - F_136(x))
Eq(F_122(x), F_123(x) - F_134(x))
Eq(F_123(x), F_124(x)/(F_0(x)*F_15(x)))
Eq(F_124(x), F_125(x))
Eq(F_125(x), F_126(x) + F_129(x))
Eq(F_126(x), F_127(x) + F_73(x))
Eq(F_127(x), F_128(x))
Eq(F_128(x), F_15(x)*F_83(x))
Eq(F_129(x), F_130(x))
Eq(F_130(x), F_131(x)*F_15(x))
Eq(F_131(x), F_132(x) + F_133(x))
Eq(F_132(x), F_72(x) + F_82(x))
Eq(F_133(x), F_127(x)*F_64(x))
Eq(F_134(x), F_135(x)/F_15(x))
Eq(F_135(x), F_126(x))
Eq(F_136(x), F_137(x))
Eq(F_137(x), F_138(x)*F_15(x))
Eq(F_138(x), F_93(x))
Eq(F_139(x), F_1(x) + F_140(x))
Eq(F_140(x), F_141(x))
Eq(F_141(x), F_139(x)*F_15(x))
Eq(F_142(x), F_143(x))
Eq(F_143(x), F_121(x)*F_144(x)*F_15(x))
Eq(F_144(x), F_145(x)/(F_15(x)*F_154(x)))
Eq(F_145(x), F_146(x))
Eq(F_146(x), F_147(x) - F_213(x))
Eq(F_147(x), F_148(x))
Eq(F_148(x), F_149(x) - F_156(x))
Eq(F_149(x), F_150(x)/F_15(x))
Eq(F_150(x), F_151(x))
Eq(F_151(x), F_152(x) - F_154(x))
Eq(F_152(x), F_153(x))
Eq(F_153(x), F_15(x)*F_75(x))
Eq(F_154(x), F_155(x))
Eq(F_155(x), F_15(x)*F_59(x))
Eq(F_156(x), F_157(x)/F_139(x))
Eq(F_157(x), F_158(x) - F_171(x))
Eq(F_158(x), F_159(x) + F_163(x))
Eq(F_159(x), F_139(x)*F_160(x))
Eq(F_160(x), F_161(x)/F_15(x))
Eq(F_161(x), F_162(x))
Eq(F_162(x), F_151(x) + F_24(x))
Eq(F_163(x), F_164(x)*F_166(x))
Eq(F_164(x), F_165(x)/F_15(x))
Eq(F_165(x), F_24(x))
Eq(F_166(x), F_15(x) + F_167(x))
Eq(F_167(x), F_168(x) + F_169(x) + F_170(x))
Eq(F_168(x), 0)
Eq(F_169(x), F_15(x)*F_166(x))
Eq(F_170(x), F_140(x)*F_15(x))
Eq(F_171(x), F_172(x) + F_176(x))
Eq(F_172(x), F_164(x)*F_173(x))
Eq(F_173(x), F_174(x) + F_175(x))
Eq(F_174(x), F_1(x) + F_15(x))
Eq(F_175(x), F_140(x) + F_167(x))
Eq(F_176(x), F_177(x))
Eq(F_177(x), F_178(x) - F_212(x))
Eq(F_178(x), F_179(x) - F_189(x))
Eq(F_179(x), F_180(x)/F_15(x))
Eq(F_180(x), F_181(x))
Eq(F_181(x), F_182(x) + F_188(x))
Eq(F_182(x), F_183(x)*F_24(x))
Eq(F_183(x), F_1(x) + F_184(x))
Eq(F_184(x), F_185(x))
Eq(F_185(x), F_15(x)*F_186(x))
Eq(F_186(x), F_183(x) + F_187(x))
Eq(F_187(x), F_140(x))
Eq(F_188(x), F_139(x)*F_151(x))
Eq(F_189(x), F_190(x) - F_209(x))
Eq(F_190(x), F_191(x)/F_15(x))
Eq(F_191(x), F_192(x))
Eq(F_192(x), F_193(x) - F_200(x))
Eq(F_193(x), F_194(x)/F_15(x))
Eq(F_194(x), F_195(x))
Eq(F_195(x), F_15(x)*F_196(x))
Eq(F_196(x), F_197(x) + F_199(x))
Eq(F_197(x), F_198(x))
Eq(F_198(x), F_140(x)*F_75(x))
Eq(F_199(x), F_184(x)*F_26(x))
Eq(F_200(x), F_140(x)*F_201(x))
Eq(F_201(x), F_202(x) + F_203(x))
Eq(F_202(x), F_0(x)*F_139(x))
Eq(F_203(x), F_204(x))
Eq(F_204(x), F_0(x)*F_15(x)*F_205(x))
Eq(F_205(x), F_206(x)/(F_15(x)*F_23(x)))
Eq(F_206(x), F_207(x))
Eq(F_207(x), -F_208(x) + F_75(x))
Eq(F_208(x), F_139(x)*F_23(x))
Eq(F_209(x), F_173(x)*F_210(x))
Eq(F_210(x), F_211(x)/F_15(x))
Eq(F_211(x), F_24(x))
Eq(F_212(x), F_183(x)*F_210(x))
Eq(F_213(x), F_139(x)*F_154(x))
Eq(F_214(x), F_215(x))
Eq(F_215(x), F_15(x)*F_216(x))
Eq(F_216(x), F_217(x) + F_232(x))
Eq(F_217(x), F_218(x) + F_231(x))
Eq(F_218(x), F_219(x)*F_75(x))
Eq(F_219(x), F_220(x))
Eq(F_220(x), F_15(x)*F_221(x))
Eq(F_221(x), F_222(x) + F_223(x))
Eq(F_222(x), F_2(x)*F_23(x))
Eq(F_223(x), F_224(x))
Eq(F_224(x), F_15(x)*F_225(x))
Eq(F_225(x), F_226(x) + F_227(x))
Eq(F_226(x), F_134(x)*F_64(x))
Eq(F_227(x), F_122(x)*F_228(x))
Eq(F_228(x), F_0(x) + F_229(x))
Eq(F_229(x), F_230(x))
Eq(F_230(x), F_0(x)*F_15(x)*F_22(x))
Eq(F_231(x), F_122(x)*F_229(x))
Eq(F_232(x), F_233(x))
Eq(F_233(x), F_122(x)*F_63(x))
Eq(F_234(x), F_235(x) + F_236(x))
Eq(F_235(x), F_0(x)*F_2(x))
Eq(F_236(x), F_237(x))
Eq(F_237(x), F_132(x)*F_15(x))
Eq(F_238(x), F_239(x) + F_63(x))
Eq(F_239(x), F_240(x))
Eq(F_240(x), F_15(x)*F_2(x)*F_61(x))
Eq(F_241(x), F_242(x))
Eq(F_242(x), F_15(x)*F_19(x)*F_243(x))
Eq(F_243(x), F_0(x) + F_244(x))
Eq(F_244(x), F_245(x))
Eq(F_245(x), F_0(x)*F_15(x)*F_243(x))
Eq(F_246(x), F_247(x))
Eq(F_247(x), F_15(x)*F_248(x))
Eq(F_248(x), F_249(x) + F_265(x))
Eq(F_249(x), F_13(x) - F_250(x))
Eq(F_250(x), F_251(x))
Eq(F_251(x), F_15(x)*F_252(x))
Eq(F_252(x), F_253(x) + F_263(x))
Eq(F_253(x), F_12(x) + F_254(x))
Eq(F_254(x), F_255(x))
Eq(F_255(x), F_15(x)*F_256(x))
Eq(F_256(x), F_257(x) + F_261(x))
Eq(F_257(x), F_258(x) + F_259(x))
Eq(F_258(x), F_12(x)*F_23(x))
Eq(F_259(x), F_260(x))
Eq(F_260(x), F_152(x)*F_18(x))
Eq(F_261(x), F_262(x))
Eq(F_262(x), F_152(x)*F_248(x))
Eq(F_263(x), F_264(x))
Eq(F_264(x), F_0(x)*F_15(x)*F_248(x))
Eq(F_265(x), F_266(x))
Eq(F_266(x), F_15(x)*F_243(x)*F_249(x))
Eq(F_267(x), F_268(x))
Eq(F_268(x), F_15(x)*F_269(x))
Eq(F_269(x), F_270(x) + F_271(x))
Eq(F_270(x), F_23(x)*F_8(x))
Eq(F_271(x), F_272(x))
Eq(F_272(x), F_15(x)*F_273(x))
Eq(F_273(x), F_274(x) + F_278(x))
Eq(F_274(x), F_275(x) + F_276(x))
Eq(F_275(x), F_11(x)*F_75(x))
Eq(F_276(x), F_277(x))
Eq(F_277(x), F_122(x)*F_248(x))
Eq(F_278(x), F_279(x))
Eq(F_279(x), F_122(x)*F_18(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, 3, 4, 1], [0, 2, 4, 1, 3], [0, 2, 4, 3, 1], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1], [0, 4, 2, 1, 3], [0, 4, 2, 3, 1], [0, 4, 3, 2, 1], [3, 0, 2, 4, 1], [3, 0, 4, 2, 1]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 2, 4, 1, 3], [0, 2, 4, 3, 1], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1], [0, 4, 2, 1, 3], [0, 4, 2, 3, 1], [0, 4, 3, 2, 1], [3, 0, 2, 4, 1], [3, 0, 4, 2, 1]], "symmetry": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": 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{"patt": [0, 4, 3, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[1, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[1, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 4]]}], [{"patt": [0], "pos": [[2, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[1, 0]]}], "indices": [0], "direction": 1, "own_col": true, "own_row": true, "include_empty": false}}, "idx": 0}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalenceRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [1, 0, 2], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 0], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [2, 1, 0], "pos": [[0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 2]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[1, 2], [1, 0]]}, {"patt": [1, 0, 2], "pos": [[1, 2], [1, 2], [1, 2]]}, {"patt": [1, 2, 0], "pos": [[1, 2], [1, 2], [1, 2]]}, {"patt": [2, 1, 0], "pos": [[1, 2], [1, 2], [1, 2]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}], "indices": [0], "direction": 2, "own_col": true, "own_row": true, "include_empty": true}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalenceRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 0]]}, {"patt": [1, 0, 2], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [1, 2, 0], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [2, 1, 0], "pos": [[0, 1], [0, 1], [0, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 0]]}, {"patt": [1, 0, 2], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [1, 2, 0], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [2, 1, 0], "pos": [[0, 1], [0, 1], [0, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementInsertionStrategy", "ignore_parent": true, "gps": [{"patt": [0], "pos": [[0, 1]]}]}}}]}, {"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 3
Strategy pack name: point_placements_tracked_fusion_tracked_component_fusion_symmetries
Tree: http://permpal.com/tree/24703/
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[24,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[6,x,1]
F[6,x,k[0]] = F[7,x,k[0]]
F[7,x,k[0]] = F[17,x,k[0]]*F[8,x,k[0]]
F[8,x,k[0]] = F[294,x,k[0]]+F[9,x,k[0]]
F[9,x,k[0]] = F[10,x,k[0]]+F[11,x,k[0]]
F[10,x,k[0]] = F[0,x]+F[6,x,k[0]]
F[11,x,k[0]] = F[12,x,k[0]]
F[12,x,k[0]] = F[13,x,k[0]]*F[17,x,k[0]]
F[13,x,k[0]] = F[14,x,k[0]]+F[273,x,k[0]]
F[14,x,k[0]] = F[15,x,k[0]]+F[18,x,k[0]]
F[16,x,k[0]] = F[15,x,k[0]]*F[17,x,k[0]]
F[16,x,k[0]] = F[6,x,k[0]]
F[17,x,k[0]] = k[0]*x
F[18,x,k[0]] = F[19,x,k[0]]
F[19,x,k[0]] = F[17,x,k[0]]*F[20,x,k[0]]
F[20,x,k[0]] = F[21,x,k[0]]+F[268,x,k[0]]
F[21,x,k[0]] = F[10,x,k[0]]+F[22,x,k[0]]
F[22,x,k[0]] = F[23,x,k[0]]
F[23,x,k[0]] = F[10,x,k[0]]*F[24,x]*F[25,x]
F[24,x] = x
F[25,x] = F[181,x]+F[26,x]
F[26,x] = F[0,x]+F[27,x]
F[27,x] = F[28,x]
F[28,x] = F[24,x]*F[29,x]
F[29,x] = F[131,x]+F[30,x]
F[30,x] = F[26,x]+F[31,x]
F[31,x] = F[32,x]
F[32,x] = F[24,x]*F[33,x]
F[33,x] = F[258,x]+F[34,x]
F[34,x] = F[26,x]*F[35,x]
F[35,x] = F[0,x]+F[36,x]
F[36,x] = F[37,x]
F[37,x] = F[24,x]*F[38,x]
F[38,x] = F[110,x]+F[39,x]
F[39,x] = F[35,x]+F[40,x]
F[40,x] = F[41,x]+F[42,x]
F[41,x] = F[0,x]*F[2,x]
F[42,x] = F[43,x]
F[43,x] = F[24,x]*F[44,x]
F[44,x] = F[45,x]+F[46,x]
F[45,x] = F[26,x]*F[36,x]
F[46,x] = F[47,x]
F[47,x] = F[24,x]*F[48,x]
F[48,x] = F[251,x]+F[49,x]
F[49,x] = F[38,x]*F[50,x]
F[50,x] = F[156,x]+F[51,x]
F[51,x] = F[52,x]+F[56,x]
F[52,x] = F[26,x]*F[53,x]
F[53,x] = F[1,x]+F[54,x]
F[54,x] = F[55,x]
F[55,x] = F[24,x]*F[53,x]
F[56,x] = F[57,x]
F[57,x] = F[24,x]*F[26,x]*F[58,x]
F[58,x] = 1/F[24,x]/F[35,x]*F[59,x]
F[59,x] = F[60,x]
F[60,x] = -F[250,x]+F[61,x]
F[61,x] = 1/F[24,x]*F[62,x]
F[62,x] = F[63,x]
F[63,x] = F[64,x]
F[64,x] = F[24,x]*F[65,x]
F[65,x] = F[66,x]+F[67,x]
F[66,x] = F[2,x]*F[35,x]
F[67,x] = F[0,x]*F[68,x]
F[68,x] = F[69,x]
F[69,x] = F[24,x]*F[70,x]
F[70,x] = 1/F[0,x]/F[24,x]*F[71,x]
F[71,x] = F[72,x]
F[72,x] = -F[80,x]+F[73,x]
F[73,x] = 1/F[24,x]*F[74,x]
F[74,x] = F[75,x]
F[75,x] = -F[66,x]+F[76,x]
F[76,x] = 1/F[24,x]*F[77,x]
F[77,x] = F[78,x]
F[78,x] = -F[2,x]+F[79,x]
F[79,x] = -F[0,x]+F[35,x]
F[80,x] = 1/F[24,x]*F[81,x]
F[81,x] = F[82,x]
F[82,x] = -F[85,x]+F[83,x]
F[83,x] = 1/F[24,x]*F[84,x]
F[84,x] = F[79,x]
F[85,x] = F[235,x]+F[86,x]
F[86,x] = F[0,x]+F[87,x]
F[87,x] = -F[220,x]+F[88,x]
F[88,x] = -F[234,x]+F[89,x]
F[89,x] = -F[96,x]+F[90,x]
F[90,x] = 1/F[24,x]*F[91,x]
F[91,x] = F[92,x]
F[92,x] = -F[2,x]+F[93,x]
F[93,x] = -F[0,x]+F[94,x]
F[94,x] = 1/F[24,x]*F[95,x]
F[95,x] = F[2,x]
F[96,x] = F[97,x]
F[97,x] = F[24,x]*F[98,x]
F[98,x] = F[224,x]+F[99,x]
F[99,x] = F[100,x]+F[101,x]
F[100,x] = F[26,x]^2
F[101,x] = F[102,x]
F[102,x] = F[103,x]*F[24,x]
F[103,x] = F[104,x]+F[222,x]
F[104,x] = F[105,x]*F[50,x]
F[105,x] = F[106,x]+F[26,x]
F[106,x] = F[107,x]
F[107,x] = F[108,x]*F[24,x]
F[108,x] = 1/F[0,x]/F[24,x]*F[109,x]
F[109,x] = F[110,x]
F[110,x] = F[111,x]+F[88,x]
F[111,x] = F[112,x]
F[112,x] = F[113,x]*F[24,x]
F[113,x] = F[114,x]+F[219,x]
F[114,x] = F[115,x]+F[116,x]
F[115,x] = F[87,x]*F[94,x]
F[116,x] = F[0,x]*F[117,x]
F[117,x] = F[118,x]+F[87,x]
F[118,x] = F[119,x]
F[119,x] = F[120,x]*F[24,x]
F[120,x] = F[121,x]+F[123,x]
F[121,x] = F[122,x]*F[87,x]
F[122,x] = F[35,x]+F[68,x]
F[123,x] = F[0,x]*F[124,x]
F[124,x] = F[125,x]
F[125,x] = F[126,x]*F[24,x]
F[126,x] = 1/F[24,x]*F[127,x]
F[127,x] = F[128,x]
F[128,x] = -F[134,x]+F[129,x]
F[129,x] = 1/F[24,x]*F[130,x]
F[130,x] = F[131,x]
F[131,x] = -F[31,x]+F[132,x]
F[132,x] = 1/F[24,x]*F[133,x]
F[133,x] = F[78,x]
F[134,x] = 1/F[24,x]*F[135,x]
F[135,x] = F[136,x]
F[136,x] = -F[137,x]+F[76,x]
F[137,x] = F[138,x]
F[138,x] = F[139,x]*F[24,x]
F[139,x] = 1/F[24,x]*F[140,x]
F[140,x] = F[141,x]
F[141,x] = F[142,x]+F[143,x]
F[142,x] = F[2,x]+F[63,x]
F[143,x] = F[144,x]
F[144,x] = F[145,x]*F[24,x]
F[145,x] = F[146,x]+F[149,x]
F[146,x] = 1/F[24,x]*F[147,x]
F[147,x] = F[148,x]
F[148,x] = -F[142,x]+F[31,x]
F[149,x] = F[150,x]
F[150,x] = F[151,x]*F[24,x]
F[151,x] = 1/F[24,x]*F[152,x]
F[152,x] = F[153,x]
F[153,x] = F[154,x]+F[162,x]
F[154,x] = F[155,x]*F[53,x]
F[155,x] = -F[159,x]+F[156,x]
F[156,x] = -F[157,x]+F[108,x]
F[157,x] = 1/F[24,x]*F[158,x]
F[158,x] = F[88,x]
F[159,x] = F[160,x]
F[160,x] = F[161,x]*F[24,x]
F[161,x] = F[128,x]
F[162,x] = F[163,x]
F[163,x] = F[155,x]*F[164,x]*F[24,x]
F[164,x] = 1/F[183,x]/F[24,x]*F[165,x]
F[165,x] = F[166,x]
F[166,x] = -F[218,x]+F[167,x]
F[167,x] = F[168,x]+F[176,x]
F[168,x] = F[169,x]*F[24,x]
F[169,x] = F[170,x]+F[2,x]
F[170,x] = F[171,x]
F[171,x] = F[172,x]*F[24,x]
F[172,x] = F[173,x]+F[174,x]
F[173,x] = F[2,x]*F[53,x]
F[174,x] = F[175,x]
F[175,x] = F[0,x]*F[164,x]*F[24,x]
F[176,x] = -F[216,x]+F[177,x]
F[177,x] = -F[187,x]+F[178,x]
F[178,x] = 1/F[24,x]*F[179,x]
F[179,x] = F[180,x]
F[180,x] = -F[183,x]+F[181,x]
F[181,x] = F[182,x]
F[182,x] = F[24,x]*F[51,x]
F[183,x] = F[184,x]+F[24,x]
F[184,x] = F[185,x]
F[185,x] = F[186,x]*F[24,x]
F[186,x] = F[2,x]+F[87,x]
F[188,x,k[0]] = F[187,x]+F[213,x,k[0]]
F[189,x,k[0]] = F[17,x,k[0]]*F[188,x,k[0]]*F[201,x,k[0]]
F[189,x,k[0]] = F[190,x,k[0]]
F[191,x,k[0]] = F[190,x,k[0]]+F[208,x,k[0]]
F[192,x,k[0]] = F[191,x,k[0]]*F[24,x]
F[192,x,k[0]] = F[193,x,k[0]]
F[193,x,k[0]] = F[17,x,k[0]]*F[194,x,k[0]]
F[194,x,k[0]] = F[195,x,k[0]]+F[207,x,k[0]]
F[195,x,k[0]] = F[196,x,k[0]]*F[27,x]
F[196,x,k[0]] = F[197,x,k[0]]+F[198,x,k[0]]
F[197,x,k[0]] = F[1,x]+F[17,x,k[0]]
F[198,x,k[0]] = F[199,x,k[0]]+F[202,x,k[0]]
F[199,x,k[0]] = F[200,x,k[0]]
F[200,x,k[0]] = F[17,x,k[0]]*F[201,x,k[0]]
F[201,x,k[0]] = F[1,x]+F[199,x,k[0]]
F[202,x,k[0]] = F[203,x]+F[204,x,k[0]]+F[206,x,k[0]]
F[203,x] = 0
F[204,x,k[0]] = F[17,x,k[0]]*F[205,x,k[0]]
F[205,x,k[0]] = F[17,x,k[0]]+F[202,x,k[0]]
F[206,x,k[0]] = F[17,x,k[0]]*F[199,x,k[0]]
F[207,x,k[0]] = F[181,x]*F[201,x,k[0]]
F[208,x,k[0]] = F[199,x,k[0]]*F[209,x]
F[209,x] = F[210,x]+F[211,x]
F[210,x] = F[0,x]*F[53,x]
F[211,x] = F[212,x]
F[212,x] = F[0,x]*F[24,x]*F[58,x]
F[213,x,k[0]] = F[201,x,k[0]]*F[214,x]
F[214,x] = 1/F[24,x]*F[215,x]
F[215,x] = F[27,x]
F[216,x] = F[217,x]*F[24,x]
F[217,x] = F[169,x]+F[53,x]
F[218,x] = F[184,x]*F[53,x]
F[219,x] = F[220,x]*F[94,x]
F[220,x] = F[221,x]
F[221,x] = F[117,x]*F[24,x]
F[222,x] = F[223,x]
F[223,x] = F[156,x]*F[25,x]
F[224,x] = F[225,x]
F[225,x] = F[226,x]*F[24,x]
F[226,x] = F[227,x]+F[229,x]
F[227,x] = F[228,x]*F[50,x]
F[228,x] = F[26,x]+F[96,x]
F[229,x] = F[230,x]
F[230,x] = F[156,x]*F[231,x]
F[231,x] = F[232,x]+F[26,x]
F[232,x] = F[233,x]
F[233,x] = F[24,x]*F[25,x]*F[26,x]
F[234,x] = F[220,x]
F[235,x] = F[236,x]+F[237,x]
F[236,x] = F[2,x]+F[92,x]
F[237,x] = F[238,x]
F[238,x] = F[2,x]*F[239,x]*F[24,x]
F[239,x] = F[240,x]+F[241,x]
F[240,x] = F[0,x]*F[94,x]
F[241,x] = F[242,x]
F[242,x] = F[24,x]*F[243,x]
F[243,x] = F[244,x]+F[245,x]
F[244,x] = F[50,x]*F[94,x]
F[245,x] = F[246,x]
F[246,x] = F[156,x]*F[247,x]
F[247,x] = F[0,x]+F[248,x]
F[248,x] = F[249,x]
F[249,x] = F[0,x]*F[24,x]*F[25,x]
F[250,x] = F[35,x]*F[54,x]
F[251,x] = F[252,x]
F[252,x] = F[156,x]*F[253,x]
F[253,x] = F[254,x]+F[255,x]
F[254,x] = F[2,x]+F[35,x]
F[255,x] = F[256,x]+F[63,x]
F[256,x] = F[257,x]
F[257,x] = F[24,x]*F[25,x]*F[35,x]
F[258,x] = F[259,x]
F[259,x] = F[24,x]*F[26,x]*F[260,x]
F[260,x] = F[161,x]+F[261,x]
F[261,x] = 1/F[24,x]*F[262,x]
F[262,x] = F[263,x]
F[263,x] = -F[266,x]+F[264,x]
F[264,x] = F[265,x]+F[56,x]
F[265,x] = F[26,x]*F[54,x]
F[266,x] = F[267,x]
F[267,x] = F[122,x]*F[24,x]*F[26,x]
F[268,x,k[0]] = F[269,x,k[0]]
F[269,x,k[0]] = F[17,x,k[0]]*F[21,x,k[0]]*F[270,x,k[0]]
F[270,x,k[0]] = F[0,x]+F[271,x,k[0]]
F[271,x,k[0]] = F[272,x,k[0]]
F[272,x,k[0]] = F[0,x]*F[17,x,k[0]]*F[270,x,k[0]]
F[273,x,k[0]] = F[274,x,k[0]]
F[274,x,k[0]] = F[17,x,k[0]]*F[275,x,k[0]]
F[275,x,k[0]] = F[276,x,k[0]]+F[292,x,k[0]]
F[15,x,k[0]] = F[276,x,k[0]]+F[277,x,k[0]]
F[277,x,k[0]] = F[278,x,k[0]]
F[278,x,k[0]] = F[17,x,k[0]]*F[279,x,k[0]]
F[279,x,k[0]] = F[280,x,k[0]]+F[290,x,k[0]]
F[280,x,k[0]] = F[14,x,k[0]]+F[281,x,k[0]]
F[281,x,k[0]] = F[282,x,k[0]]
F[282,x,k[0]] = F[24,x]*F[283,x,k[0]]
F[283,x,k[0]] = F[284,x,k[0]]+F[288,x,k[0]]
F[284,x,k[0]] = F[285,x,k[0]]+F[286,x,k[0]]
F[285,x,k[0]] = F[14,x,k[0]]*F[26,x]
F[286,x,k[0]] = F[287,x,k[0]]
F[287,x,k[0]] = F[181,x]*F[20,x,k[0]]
F[288,x,k[0]] = F[289,x,k[0]]
F[289,x,k[0]] = F[181,x]*F[275,x,k[0]]
F[290,x,k[0]] = F[291,x,k[0]]
F[291,x,k[0]] = F[0,x]*F[17,x,k[0]]*F[275,x,k[0]]
F[292,x,k[0]] = F[293,x,k[0]]
F[293,x,k[0]] = F[17,x,k[0]]*F[270,x,k[0]]*F[276,x,k[0]]
F[294,x,k[0]] = F[295,x,k[0]]
F[295,x,k[0]] = F[24,x]*F[296,x,k[0]]
F[296,x,k[0]] = F[297,x,k[0]]+F[298,x,k[0]]
F[297,x,k[0]] = F[26,x]*F[9,x,k[0]]
F[298,x,k[0]] = F[299,x,k[0]]
F[299,x,k[0]] = F[24,x]*F[300,x,k[0]]
F[300,x,k[0]] = F[301,x,k[0]]+F[305,x,k[0]]
F[301,x,k[0]] = F[302,x,k[0]]+F[303,x,k[0]]
F[302,x,k[0]] = F[13,x,k[0]]*F[51,x]
F[303,x,k[0]] = F[304,x,k[0]]
F[304,x,k[0]] = F[156,x]*F[20,x,k[0]]
F[305,x,k[0]] = F[306,x,k[0]]
F[306,x,k[0]] = F[156,x]*F[275,x,k[0]]
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_{24}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{6}\! \left(x , 1\right)
F_{6}\! \left(x , y\right) = F_{7}\! \left(x , y\right)
F_{7}\! \left(x , y\right) = F_{17}\! \left(x , y\right) F_{8}\! \left(x , y\right)
F_{8}\! \left(x , y\right) = F_{294}\! \left(x , y\right)+F_{9}\! \left(x , y\right)
F_{9}\! \left(x , y\right) = F_{10}\! \left(x , y\right)+F_{11}\! \left(x , y\right)
F_{10}\! \left(x , y\right) = F_{0}\! \left(x \right)+F_{6}\! \left(x , y\right)
F_{11}\! \left(x , y\right) = F_{12}\! \left(x , y\right)
F_{12}\! \left(x , y\right) = F_{13}\! \left(x , y\right) F_{17}\! \left(x , y\right)
F_{13}\! \left(x , y\right) = F_{14}\! \left(x , y\right)+F_{273}\! \left(x , y\right)
F_{14}\! \left(x , y\right) = F_{15}\! \left(x , y\right)+F_{18}\! \left(x , y\right)
F_{16}\! \left(x , y\right) = F_{15}\! \left(x , y\right) F_{17}\! \left(x , y\right)
F_{16}\! \left(x , y\right) = F_{6}\! \left(x , y\right)
F_{17}\! \left(x , y\right) = y x
F_{18}\! \left(x , y\right) = F_{19}\! \left(x , y\right)
F_{19}\! \left(x , y\right) = F_{17}\! \left(x , y\right) F_{20}\! \left(x , y\right)
F_{20}\! \left(x , y\right) = F_{21}\! \left(x , y\right)+F_{268}\! \left(x , y\right)
F_{21}\! \left(x , y\right) = F_{10}\! \left(x , y\right)+F_{22}\! \left(x , y\right)
F_{22}\! \left(x , y\right) = F_{23}\! \left(x , y\right)
F_{23}\! \left(x , y\right) = F_{10}\! \left(x , y\right) F_{24}\! \left(x \right) F_{25}\! \left(x \right)
F_{24}\! \left(x \right) = x
F_{25}\! \left(x \right) = F_{181}\! \left(x \right)+F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{0}\! \left(x \right)+F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = F_{24}\! \left(x \right) F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{131}\! \left(x \right)+F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = F_{26}\! \left(x \right)+F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{24}\! \left(x \right) F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{258}\! \left(x \right)+F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = F_{26}\! \left(x \right) F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{0}\! \left(x \right)+F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{24}\! \left(x \right) F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{110}\! \left(x \right)+F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{35}\! \left(x \right)+F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)+F_{42}\! \left(x \right)
F_{41}\! \left(x \right) = F_{0}\! \left(x \right) F_{2}\! \left(x \right)
F_{42}\! \left(x \right) = F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{24}\! \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_{26}\! \left(x \right) F_{36}\! \left(x \right)
F_{46}\! \left(x \right) = F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{24}\! \left(x \right) F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{251}\! \left(x \right)+F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{38}\! \left(x \right) F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{156}\! \left(x \right)+F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{52}\! \left(x \right)+F_{56}\! \left(x \right)
F_{52}\! \left(x \right) = F_{26}\! \left(x \right) F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{1}\! \left(x \right)+F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{24}\! \left(x \right) F_{53}\! \left(x \right)
F_{56}\! \left(x \right) = F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = F_{24}\! \left(x \right) F_{26}\! \left(x \right) F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = \frac{F_{59}\! \left(x \right)}{F_{24}\! \left(x \right) F_{35}\! \left(x \right)}
F_{59}\! \left(x \right) = F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = -F_{250}\! \left(x \right)+F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = \frac{F_{62}\! \left(x \right)}{F_{24}\! \left(x \right)}
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{24}\! \left(x \right) F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{66}\! \left(x \right)+F_{67}\! \left(x \right)
F_{66}\! \left(x \right) = F_{2}\! \left(x \right) F_{35}\! \left(x \right)
F_{67}\! \left(x \right) = F_{0}\! \left(x \right) F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{24}\! \left(x \right) F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = \frac{F_{71}\! \left(x \right)}{F_{0}\! \left(x \right) F_{24}\! \left(x \right)}
F_{71}\! \left(x \right) = F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = -F_{80}\! \left(x \right)+F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = \frac{F_{74}\! \left(x \right)}{F_{24}\! \left(x \right)}
F_{74}\! \left(x \right) = F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = -F_{66}\! \left(x \right)+F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = \frac{F_{77}\! \left(x \right)}{F_{24}\! \left(x \right)}
F_{77}\! \left(x \right) = F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{35}\! \left(x \right)
F_{80}\! \left(x \right) = \frac{F_{81}\! \left(x \right)}{F_{24}\! \left(x \right)}
F_{81}\! \left(x \right) = F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = -F_{85}\! \left(x \right)+F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = \frac{F_{84}\! \left(x \right)}{F_{24}\! \left(x \right)}
F_{84}\! \left(x \right) = F_{79}\! \left(x \right)
F_{85}\! \left(x \right) = F_{235}\! \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_{220}\! \left(x \right)+F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = -F_{234}\! \left(x \right)+F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = -F_{96}\! \left(x \right)+F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = \frac{F_{91}\! \left(x \right)}{F_{24}\! \left(x \right)}
F_{91}\! \left(x \right) = F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = \frac{F_{95}\! \left(x \right)}{F_{24}\! \left(x \right)}
F_{95}\! \left(x \right) = F_{2}\! \left(x \right)
F_{96}\! \left(x \right) = F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{24}\! \left(x \right) F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{224}\! \left(x \right)+F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right)+F_{101}\! \left(x \right)
F_{100}\! \left(x \right) = F_{26} \left(x \right)^{2}
F_{101}\! \left(x \right) = F_{102}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right) F_{24}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right)+F_{222}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x \right) F_{50}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x \right)+F_{26}\! \left(x \right)
F_{106}\! \left(x \right) = F_{107}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right) F_{24}\! \left(x \right)
F_{108}\! \left(x \right) = \frac{F_{109}\! \left(x \right)}{F_{0}\! \left(x \right) F_{24}\! \left(x \right)}
F_{109}\! \left(x \right) = F_{110}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right)+F_{88}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right) F_{24}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right)+F_{219}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right)+F_{116}\! \left(x \right)
F_{115}\! \left(x \right) = F_{87}\! \left(x \right) F_{94}\! \left(x \right)
F_{116}\! \left(x \right) = F_{0}\! \left(x \right) F_{117}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)+F_{87}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right) F_{24}\! \left(x \right)
F_{120}\! \left(x \right) = F_{121}\! \left(x \right)+F_{123}\! \left(x \right)
F_{121}\! \left(x \right) = F_{122}\! \left(x \right) F_{87}\! \left(x \right)
F_{122}\! \left(x \right) = F_{35}\! \left(x \right)+F_{68}\! \left(x \right)
F_{123}\! \left(x \right) = F_{0}\! \left(x \right) F_{124}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)
F_{125}\! \left(x \right) = F_{126}\! \left(x \right) F_{24}\! \left(x \right)
F_{126}\! \left(x \right) = \frac{F_{127}\! \left(x \right)}{F_{24}\! \left(x \right)}
F_{127}\! \left(x \right) = F_{128}\! \left(x \right)
F_{128}\! \left(x \right) = -F_{134}\! \left(x \right)+F_{129}\! \left(x \right)
F_{129}\! \left(x \right) = \frac{F_{130}\! \left(x \right)}{F_{24}\! \left(x \right)}
F_{130}\! \left(x \right) = F_{131}\! \left(x \right)
F_{131}\! \left(x \right) = -F_{31}\! \left(x \right)+F_{132}\! \left(x \right)
F_{132}\! \left(x \right) = \frac{F_{133}\! \left(x \right)}{F_{24}\! \left(x \right)}
F_{133}\! \left(x \right) = F_{78}\! \left(x \right)
F_{134}\! \left(x \right) = \frac{F_{135}\! \left(x \right)}{F_{24}\! \left(x \right)}
F_{135}\! \left(x \right) = F_{136}\! \left(x \right)
F_{136}\! \left(x \right) = -F_{137}\! \left(x \right)+F_{76}\! \left(x \right)
F_{137}\! \left(x \right) = F_{138}\! \left(x \right)
F_{138}\! \left(x \right) = F_{139}\! \left(x \right) F_{24}\! \left(x \right)
F_{139}\! \left(x \right) = \frac{F_{140}\! \left(x \right)}{F_{24}\! \left(x \right)}
F_{140}\! \left(x \right) = F_{141}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right)+F_{143}\! \left(x \right)
F_{142}\! \left(x \right) = F_{2}\! \left(x \right)+F_{63}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right)
F_{144}\! \left(x \right) = F_{145}\! \left(x \right) F_{24}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right)+F_{149}\! \left(x \right)
F_{146}\! \left(x \right) = \frac{F_{147}\! \left(x \right)}{F_{24}\! \left(x \right)}
F_{147}\! \left(x \right) = F_{148}\! \left(x \right)
F_{148}\! \left(x \right) = -F_{142}\! \left(x \right)+F_{31}\! \left(x \right)
F_{149}\! \left(x \right) = F_{150}\! \left(x \right)
F_{150}\! \left(x \right) = F_{151}\! \left(x \right) F_{24}\! \left(x \right)
F_{151}\! \left(x \right) = \frac{F_{152}\! \left(x \right)}{F_{24}\! \left(x \right)}
F_{152}\! \left(x \right) = F_{153}\! \left(x \right)
F_{153}\! \left(x \right) = F_{154}\! \left(x \right)+F_{162}\! \left(x \right)
F_{154}\! \left(x \right) = F_{155}\! \left(x \right) F_{53}\! \left(x \right)
F_{155}\! \left(x \right) = -F_{159}\! \left(x \right)+F_{156}\! \left(x \right)
F_{156}\! \left(x \right) = -F_{157}\! \left(x \right)+F_{108}\! \left(x \right)
F_{157}\! \left(x \right) = \frac{F_{158}\! \left(x \right)}{F_{24}\! \left(x \right)}
F_{158}\! \left(x \right) = F_{88}\! \left(x \right)
F_{159}\! \left(x \right) = F_{160}\! \left(x \right)
F_{160}\! \left(x \right) = F_{161}\! \left(x \right) F_{24}\! \left(x \right)
F_{161}\! \left(x \right) = F_{128}\! \left(x \right)
F_{162}\! \left(x \right) = F_{163}\! \left(x \right)
F_{163}\! \left(x \right) = F_{155}\! \left(x \right) F_{164}\! \left(x \right) F_{24}\! \left(x \right)
F_{164}\! \left(x \right) = \frac{F_{165}\! \left(x \right)}{F_{183}\! \left(x \right) F_{24}\! \left(x \right)}
F_{165}\! \left(x \right) = F_{166}\! \left(x \right)
F_{166}\! \left(x \right) = -F_{218}\! \left(x \right)+F_{167}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right)+F_{176}\! \left(x \right)
F_{168}\! \left(x \right) = F_{169}\! \left(x \right) F_{24}\! \left(x \right)
F_{169}\! \left(x \right) = F_{170}\! \left(x \right)+F_{2}\! \left(x \right)
F_{170}\! \left(x \right) = F_{171}\! \left(x \right)
F_{171}\! \left(x \right) = F_{172}\! \left(x \right) F_{24}\! \left(x \right)
F_{172}\! \left(x \right) = F_{173}\! \left(x \right)+F_{174}\! \left(x \right)
F_{173}\! \left(x \right) = F_{2}\! \left(x \right) F_{53}\! \left(x \right)
F_{174}\! \left(x \right) = F_{175}\! \left(x \right)
F_{175}\! \left(x \right) = F_{0}\! \left(x \right) F_{164}\! \left(x \right) F_{24}\! \left(x \right)
F_{176}\! \left(x \right) = -F_{216}\! \left(x \right)+F_{177}\! \left(x \right)
F_{177}\! \left(x \right) = -F_{187}\! \left(x \right)+F_{178}\! \left(x \right)
F_{178}\! \left(x \right) = \frac{F_{179}\! \left(x \right)}{F_{24}\! \left(x \right)}
F_{179}\! \left(x \right) = F_{180}\! \left(x \right)
F_{180}\! \left(x \right) = -F_{183}\! \left(x \right)+F_{181}\! \left(x \right)
F_{181}\! \left(x \right) = F_{182}\! \left(x \right)
F_{182}\! \left(x \right) = F_{24}\! \left(x \right) F_{51}\! \left(x \right)
F_{183}\! \left(x \right) = F_{184}\! \left(x \right)+F_{24}\! \left(x \right)
F_{184}\! \left(x \right) = F_{185}\! \left(x \right)
F_{185}\! \left(x \right) = F_{186}\! \left(x \right) F_{24}\! \left(x \right)
F_{186}\! \left(x \right) = F_{2}\! \left(x \right)+F_{87}\! \left(x \right)
F_{188}\! \left(x , y\right) = F_{187}\! \left(x \right)+F_{213}\! \left(x , y\right)
F_{189}\! \left(x , y\right) = F_{17}\! \left(x , y\right) F_{188}\! \left(x , y\right) F_{201}\! \left(x , y\right)
F_{189}\! \left(x , y\right) = F_{190}\! \left(x , y\right)
F_{191}\! \left(x , y\right) = F_{190}\! \left(x , y\right)+F_{208}\! \left(x , y\right)
F_{192}\! \left(x , y\right) = F_{191}\! \left(x , y\right) F_{24}\! \left(x \right)
F_{192}\! \left(x , y\right) = F_{193}\! \left(x , y\right)
F_{193}\! \left(x , y\right) = F_{17}\! \left(x , y\right) F_{194}\! \left(x , y\right)
F_{194}\! \left(x , y\right) = F_{195}\! \left(x , y\right)+F_{207}\! \left(x , y\right)
F_{195}\! \left(x , y\right) = F_{196}\! \left(x , y\right) F_{27}\! \left(x \right)
F_{196}\! \left(x , y\right) = F_{197}\! \left(x , y\right)+F_{198}\! \left(x , y\right)
F_{197}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{17}\! \left(x , y\right)
F_{198}\! \left(x , y\right) = F_{199}\! \left(x , y\right)+F_{202}\! \left(x , y\right)
F_{199}\! \left(x , y\right) = F_{200}\! \left(x , y\right)
F_{200}\! \left(x , y\right) = F_{17}\! \left(x , y\right) F_{201}\! \left(x , y\right)
F_{201}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{199}\! \left(x , y\right)
F_{202}\! \left(x , y\right) = F_{203}\! \left(x \right)+F_{204}\! \left(x , y\right)+F_{206}\! \left(x , y\right)
F_{203}\! \left(x \right) = 0
F_{204}\! \left(x , y\right) = F_{17}\! \left(x , y\right) F_{205}\! \left(x , y\right)
F_{205}\! \left(x , y\right) = F_{17}\! \left(x , y\right)+F_{202}\! \left(x , y\right)
F_{206}\! \left(x , y\right) = F_{17}\! \left(x , y\right) F_{199}\! \left(x , y\right)
F_{207}\! \left(x , y\right) = F_{181}\! \left(x \right) F_{201}\! \left(x , y\right)
F_{208}\! \left(x , y\right) = F_{199}\! \left(x , y\right) F_{209}\! \left(x \right)
F_{209}\! \left(x \right) = F_{210}\! \left(x \right)+F_{211}\! \left(x \right)
F_{210}\! \left(x \right) = F_{0}\! \left(x \right) F_{53}\! \left(x \right)
F_{211}\! \left(x \right) = F_{212}\! \left(x \right)
F_{212}\! \left(x \right) = F_{0}\! \left(x \right) F_{24}\! \left(x \right) F_{58}\! \left(x \right)
F_{213}\! \left(x , y\right) = F_{201}\! \left(x , y\right) F_{214}\! \left(x \right)
F_{214}\! \left(x \right) = \frac{F_{215}\! \left(x \right)}{F_{24}\! \left(x \right)}
F_{215}\! \left(x \right) = F_{27}\! \left(x \right)
F_{216}\! \left(x \right) = F_{217}\! \left(x \right) F_{24}\! \left(x \right)
F_{217}\! \left(x \right) = F_{169}\! \left(x \right)+F_{53}\! \left(x \right)
F_{218}\! \left(x \right) = F_{184}\! \left(x \right) F_{53}\! \left(x \right)
F_{219}\! \left(x \right) = F_{220}\! \left(x \right) F_{94}\! \left(x \right)
F_{220}\! \left(x \right) = F_{221}\! \left(x \right)
F_{221}\! \left(x \right) = F_{117}\! \left(x \right) F_{24}\! \left(x \right)
F_{222}\! \left(x \right) = F_{223}\! \left(x \right)
F_{223}\! \left(x \right) = F_{156}\! \left(x \right) F_{25}\! \left(x \right)
F_{224}\! \left(x \right) = F_{225}\! \left(x \right)
F_{225}\! \left(x \right) = F_{226}\! \left(x \right) F_{24}\! \left(x \right)
F_{226}\! \left(x \right) = F_{227}\! \left(x \right)+F_{229}\! \left(x \right)
F_{227}\! \left(x \right) = F_{228}\! \left(x \right) F_{50}\! \left(x \right)
F_{228}\! \left(x \right) = F_{26}\! \left(x \right)+F_{96}\! \left(x \right)
F_{229}\! \left(x \right) = F_{230}\! \left(x \right)
F_{230}\! \left(x \right) = F_{156}\! \left(x \right) F_{231}\! \left(x \right)
F_{231}\! \left(x \right) = F_{232}\! \left(x \right)+F_{26}\! \left(x \right)
F_{232}\! \left(x \right) = F_{233}\! \left(x \right)
F_{233}\! \left(x \right) = F_{24}\! \left(x \right) F_{25}\! \left(x \right) F_{26}\! \left(x \right)
F_{234}\! \left(x \right) = F_{220}\! \left(x \right)
F_{235}\! \left(x \right) = F_{236}\! \left(x \right)+F_{237}\! \left(x \right)
F_{236}\! \left(x \right) = F_{2}\! \left(x \right)+F_{92}\! \left(x \right)
F_{237}\! \left(x \right) = F_{238}\! \left(x \right)
F_{238}\! \left(x \right) = F_{2}\! \left(x \right) F_{239}\! \left(x \right) F_{24}\! \left(x \right)
F_{239}\! \left(x \right) = F_{240}\! \left(x \right)+F_{241}\! \left(x \right)
F_{240}\! \left(x \right) = F_{0}\! \left(x \right) F_{94}\! \left(x \right)
F_{241}\! \left(x \right) = F_{242}\! \left(x \right)
F_{242}\! \left(x \right) = F_{24}\! \left(x \right) F_{243}\! \left(x \right)
F_{243}\! \left(x \right) = F_{244}\! \left(x \right)+F_{245}\! \left(x \right)
F_{244}\! \left(x \right) = F_{50}\! \left(x \right) F_{94}\! \left(x \right)
F_{245}\! \left(x \right) = F_{246}\! \left(x \right)
F_{246}\! \left(x \right) = F_{156}\! \left(x \right) F_{247}\! \left(x \right)
F_{247}\! \left(x \right) = F_{0}\! \left(x \right)+F_{248}\! \left(x \right)
F_{248}\! \left(x \right) = F_{249}\! \left(x \right)
F_{249}\! \left(x \right) = F_{0}\! \left(x \right) F_{24}\! \left(x \right) F_{25}\! \left(x \right)
F_{250}\! \left(x \right) = F_{35}\! \left(x \right) F_{54}\! \left(x \right)
F_{251}\! \left(x \right) = F_{252}\! \left(x \right)
F_{252}\! \left(x \right) = F_{156}\! \left(x \right) F_{253}\! \left(x \right)
F_{253}\! \left(x \right) = F_{254}\! \left(x \right)+F_{255}\! \left(x \right)
F_{254}\! \left(x \right) = F_{2}\! \left(x \right)+F_{35}\! \left(x \right)
F_{255}\! \left(x \right) = F_{256}\! \left(x \right)+F_{63}\! \left(x \right)
F_{256}\! \left(x \right) = F_{257}\! \left(x \right)
F_{257}\! \left(x \right) = F_{24}\! \left(x \right) F_{25}\! \left(x \right) F_{35}\! \left(x \right)
F_{258}\! \left(x \right) = F_{259}\! \left(x \right)
F_{259}\! \left(x \right) = F_{24}\! \left(x \right) F_{26}\! \left(x \right) F_{260}\! \left(x \right)
F_{260}\! \left(x \right) = F_{161}\! \left(x \right)+F_{261}\! \left(x \right)
F_{261}\! \left(x \right) = \frac{F_{262}\! \left(x \right)}{F_{24}\! \left(x \right)}
F_{262}\! \left(x \right) = F_{263}\! \left(x \right)
F_{263}\! \left(x \right) = -F_{266}\! \left(x \right)+F_{264}\! \left(x \right)
F_{264}\! \left(x \right) = F_{265}\! \left(x \right)+F_{56}\! \left(x \right)
F_{265}\! \left(x \right) = F_{26}\! \left(x \right) F_{54}\! \left(x \right)
F_{266}\! \left(x \right) = F_{267}\! \left(x \right)
F_{267}\! \left(x \right) = F_{122}\! \left(x \right) F_{24}\! \left(x \right) F_{26}\! \left(x \right)
F_{268}\! \left(x , y\right) = F_{269}\! \left(x , y\right)
F_{269}\! \left(x , y\right) = F_{17}\! \left(x , y\right) F_{21}\! \left(x , y\right) F_{270}\! \left(x , y\right)
F_{270}\! \left(x , y\right) = F_{0}\! \left(x \right)+F_{271}\! \left(x , y\right)
F_{271}\! \left(x , y\right) = F_{272}\! \left(x , y\right)
F_{272}\! \left(x , y\right) = F_{0}\! \left(x \right) F_{17}\! \left(x , y\right) F_{270}\! \left(x , y\right)
F_{273}\! \left(x , y\right) = F_{274}\! \left(x , y\right)
F_{274}\! \left(x , y\right) = F_{17}\! \left(x , y\right) F_{275}\! \left(x , y\right)
F_{275}\! \left(x , y\right) = F_{276}\! \left(x , y\right)+F_{292}\! \left(x , y\right)
F_{15}\! \left(x , y\right) = F_{276}\! \left(x , y\right)+F_{277}\! \left(x , y\right)
F_{277}\! \left(x , y\right) = F_{278}\! \left(x , y\right)
F_{278}\! \left(x , y\right) = F_{17}\! \left(x , y\right) F_{279}\! \left(x , y\right)
F_{279}\! \left(x , y\right) = F_{280}\! \left(x , y\right)+F_{290}\! \left(x , y\right)
F_{280}\! \left(x , y\right) = F_{14}\! \left(x , y\right)+F_{281}\! \left(x , y\right)
F_{281}\! \left(x , y\right) = F_{282}\! \left(x , y\right)
F_{282}\! \left(x , y\right) = F_{24}\! \left(x \right) F_{283}\! \left(x , y\right)
F_{283}\! \left(x , y\right) = F_{284}\! \left(x , y\right)+F_{288}\! \left(x , y\right)
F_{284}\! \left(x , y\right) = F_{285}\! \left(x , y\right)+F_{286}\! \left(x , y\right)
F_{285}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{26}\! \left(x \right)
F_{286}\! \left(x , y\right) = F_{287}\! \left(x , y\right)
F_{287}\! \left(x , y\right) = F_{181}\! \left(x \right) F_{20}\! \left(x , y\right)
F_{288}\! \left(x , y\right) = F_{289}\! \left(x , y\right)
F_{289}\! \left(x , y\right) = F_{181}\! \left(x \right) F_{275}\! \left(x , y\right)
F_{290}\! \left(x , y\right) = F_{291}\! \left(x , y\right)
F_{291}\! \left(x , y\right) = F_{0}\! \left(x \right) F_{17}\! \left(x , y\right) F_{275}\! \left(x , y\right)
F_{292}\! \left(x , y\right) = F_{293}\! \left(x , y\right)
F_{293}\! \left(x , y\right) = F_{17}\! \left(x , y\right) F_{270}\! \left(x , y\right) F_{276}\! \left(x , y\right)
F_{294}\! \left(x , y\right) = F_{295}\! \left(x , y\right)
F_{295}\! \left(x , y\right) = F_{24}\! \left(x \right) F_{296}\! \left(x , y\right)
F_{296}\! \left(x , y\right) = F_{297}\! \left(x , y\right)+F_{298}\! \left(x , y\right)
F_{297}\! \left(x , y\right) = F_{26}\! \left(x \right) F_{9}\! \left(x , y\right)
F_{298}\! \left(x , y\right) = F_{299}\! \left(x , y\right)
F_{299}\! \left(x , y\right) = F_{24}\! \left(x \right) F_{300}\! \left(x , y\right)
F_{300}\! \left(x , y\right) = F_{301}\! \left(x , y\right)+F_{305}\! \left(x , y\right)
F_{301}\! \left(x , y\right) = F_{302}\! \left(x , y\right)+F_{303}\! \left(x , y\right)
F_{302}\! \left(x , y\right) = F_{13}\! \left(x , y\right) F_{51}\! \left(x \right)
F_{303}\! \left(x , y\right) = F_{304}\! \left(x , y\right)
F_{304}\! \left(x , y\right) = F_{156}\! \left(x \right) F_{20}\! \left(x , y\right)
F_{305}\! \left(x , y\right) = F_{306}\! \left(x , y\right)
F_{306}\! \left(x , y\right) = F_{156}\! \left(x \right) F_{275}\! \left(x , y\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_24(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_6(x, 1))
Eq(F_6(x, k_0), F_7(x, k_0))
Eq(F_7(x, k_0), F_17(x, k_0)*F_8(x, k_0))
Eq(F_8(x, k_0), F_294(x, k_0) + F_9(x, k_0))
Eq(F_9(x, k_0), F_10(x, k_0) + F_11(x, k_0))
Eq(F_10(x, k_0), F_0(x) + F_6(x, k_0))
Eq(F_11(x, k_0), F_12(x, k_0))
Eq(F_12(x, k_0), F_13(x, k_0)*F_17(x, k_0))
Eq(F_13(x, k_0), F_14(x, k_0) + F_273(x, k_0))
Eq(F_14(x, k_0), F_15(x, k_0) + F_18(x, k_0))
Eq(F_16(x, k_0), F_15(x, k_0)*F_17(x, k_0))
Eq(F_16(x, k_0), F_6(x, k_0))
Eq(F_17(x, k_0), k_0*x)
Eq(F_18(x, k_0), F_19(x, k_0))
Eq(F_19(x, k_0), F_17(x, k_0)*F_20(x, k_0))
Eq(F_20(x, k_0), F_21(x, k_0) + F_268(x, k_0))
Eq(F_21(x, k_0), F_10(x, k_0) + F_22(x, k_0))
Eq(F_22(x, k_0), F_23(x, k_0))
Eq(F_23(x, k_0), F_10(x, k_0)*F_24(x)*F_25(x))
Eq(F_24(x), x)
Eq(F_25(x), F_181(x) + F_26(x))
Eq(F_26(x), F_0(x) + F_27(x))
Eq(F_27(x), F_28(x))
Eq(F_28(x), F_24(x)*F_29(x))
Eq(F_29(x), F_131(x) + F_30(x))
Eq(F_30(x), F_26(x) + F_31(x))
Eq(F_31(x), F_32(x))
Eq(F_32(x), F_24(x)*F_33(x))
Eq(F_33(x), F_258(x) + F_34(x))
Eq(F_34(x), F_26(x)*F_35(x))
Eq(F_35(x), F_0(x) + F_36(x))
Eq(F_36(x), F_37(x))
Eq(F_37(x), F_24(x)*F_38(x))
Eq(F_38(x), F_110(x) + F_39(x))
Eq(F_39(x), F_35(x) + F_40(x))
Eq(F_40(x), F_41(x) + F_42(x))
Eq(F_41(x), F_0(x)*F_2(x))
Eq(F_42(x), F_43(x))
Eq(F_43(x), F_24(x)*F_44(x))
Eq(F_44(x), F_45(x) + F_46(x))
Eq(F_45(x), F_26(x)*F_36(x))
Eq(F_46(x), F_47(x))
Eq(F_47(x), F_24(x)*F_48(x))
Eq(F_48(x), F_251(x) + F_49(x))
Eq(F_49(x), F_38(x)*F_50(x))
Eq(F_50(x), F_156(x) + F_51(x))
Eq(F_51(x), F_52(x) + F_56(x))
Eq(F_52(x), F_26(x)*F_53(x))
Eq(F_53(x), F_1(x) + F_54(x))
Eq(F_54(x), F_55(x))
Eq(F_55(x), F_24(x)*F_53(x))
Eq(F_56(x), F_57(x))
Eq(F_57(x), F_24(x)*F_26(x)*F_58(x))
Eq(F_58(x), F_59(x)/(F_24(x)*F_35(x)))
Eq(F_59(x), F_60(x))
Eq(F_60(x), -F_250(x) + F_61(x))
Eq(F_61(x), F_62(x)/F_24(x))
Eq(F_62(x), F_63(x))
Eq(F_63(x), F_64(x))
Eq(F_64(x), F_24(x)*F_65(x))
Eq(F_65(x), F_66(x) + F_67(x))
Eq(F_66(x), F_2(x)*F_35(x))
Eq(F_67(x), F_0(x)*F_68(x))
Eq(F_68(x), F_69(x))
Eq(F_69(x), F_24(x)*F_70(x))
Eq(F_70(x), F_71(x)/(F_0(x)*F_24(x)))
Eq(F_71(x), F_72(x))
Eq(F_72(x), F_73(x) - F_80(x))
Eq(F_73(x), F_74(x)/F_24(x))
Eq(F_74(x), F_75(x))
Eq(F_75(x), -F_66(x) + F_76(x))
Eq(F_76(x), F_77(x)/F_24(x))
Eq(F_77(x), F_78(x))
Eq(F_78(x), -F_2(x) + F_79(x))
Eq(F_79(x), -F_0(x) + F_35(x))
Eq(F_80(x), F_81(x)/F_24(x))
Eq(F_81(x), F_82(x))
Eq(F_82(x), F_83(x) - F_85(x))
Eq(F_83(x), F_84(x)/F_24(x))
Eq(F_84(x), F_79(x))
Eq(F_85(x), F_235(x) + F_86(x))
Eq(F_86(x), F_0(x) + F_87(x))
Eq(F_87(x), -F_220(x) + F_88(x))
Eq(F_88(x), -F_234(x) + F_89(x))
Eq(F_89(x), F_90(x) - F_96(x))
Eq(F_90(x), F_91(x)/F_24(x))
Eq(F_91(x), F_92(x))
Eq(F_92(x), -F_2(x) + F_93(x))
Eq(F_93(x), -F_0(x) + F_94(x))
Eq(F_94(x), F_95(x)/F_24(x))
Eq(F_95(x), F_2(x))
Eq(F_96(x), F_97(x))
Eq(F_97(x), F_24(x)*F_98(x))
Eq(F_98(x), F_224(x) + F_99(x))
Eq(F_99(x), F_100(x) + F_101(x))
Eq(F_100(x), F_26(x)**2)
Eq(F_101(x), F_102(x))
Eq(F_102(x), F_103(x)*F_24(x))
Eq(F_103(x), F_104(x) + F_222(x))
Eq(F_104(x), F_105(x)*F_50(x))
Eq(F_105(x), F_106(x) + F_26(x))
Eq(F_106(x), F_107(x))
Eq(F_107(x), F_108(x)*F_24(x))
Eq(F_108(x), F_109(x)/(F_0(x)*F_24(x)))
Eq(F_109(x), F_110(x))
Eq(F_110(x), F_111(x) + F_88(x))
Eq(F_111(x), F_112(x))
Eq(F_112(x), F_113(x)*F_24(x))
Eq(F_113(x), F_114(x) + F_219(x))
Eq(F_114(x), F_115(x) + F_116(x))
Eq(F_115(x), F_87(x)*F_94(x))
Eq(F_116(x), F_0(x)*F_117(x))
Eq(F_117(x), F_118(x) + F_87(x))
Eq(F_118(x), F_119(x))
Eq(F_119(x), F_120(x)*F_24(x))
Eq(F_120(x), F_121(x) + F_123(x))
Eq(F_121(x), F_122(x)*F_87(x))
Eq(F_122(x), F_35(x) + F_68(x))
Eq(F_123(x), F_0(x)*F_124(x))
Eq(F_124(x), F_125(x))
Eq(F_125(x), F_126(x)*F_24(x))
Eq(F_126(x), F_127(x)/F_24(x))
Eq(F_127(x), F_128(x))
Eq(F_128(x), F_129(x) - F_134(x))
Eq(F_129(x), F_130(x)/F_24(x))
Eq(F_130(x), F_131(x))
Eq(F_131(x), F_132(x) - F_31(x))
Eq(F_132(x), F_133(x)/F_24(x))
Eq(F_133(x), F_78(x))
Eq(F_134(x), F_135(x)/F_24(x))
Eq(F_135(x), F_136(x))
Eq(F_136(x), -F_137(x) + F_76(x))
Eq(F_137(x), F_138(x))
Eq(F_138(x), F_139(x)*F_24(x))
Eq(F_139(x), F_140(x)/F_24(x))
Eq(F_140(x), F_141(x))
Eq(F_141(x), F_142(x) + F_143(x))
Eq(F_142(x), F_2(x) + F_63(x))
Eq(F_143(x), F_144(x))
Eq(F_144(x), F_145(x)*F_24(x))
Eq(F_145(x), F_146(x) + F_149(x))
Eq(F_146(x), F_147(x)/F_24(x))
Eq(F_147(x), F_148(x))
Eq(F_148(x), -F_142(x) + F_31(x))
Eq(F_149(x), F_150(x))
Eq(F_150(x), F_151(x)*F_24(x))
Eq(F_151(x), F_152(x)/F_24(x))
Eq(F_152(x), F_153(x))
Eq(F_153(x), F_154(x) + F_162(x))
Eq(F_154(x), F_155(x)*F_53(x))
Eq(F_155(x), F_156(x) - F_159(x))
Eq(F_156(x), F_108(x) - F_157(x))
Eq(F_157(x), F_158(x)/F_24(x))
Eq(F_158(x), F_88(x))
Eq(F_159(x), F_160(x))
Eq(F_160(x), F_161(x)*F_24(x))
Eq(F_161(x), F_128(x))
Eq(F_162(x), F_163(x))
Eq(F_163(x), F_155(x)*F_164(x)*F_24(x))
Eq(F_164(x), F_165(x)/(F_183(x)*F_24(x)))
Eq(F_165(x), F_166(x))
Eq(F_166(x), F_167(x) - F_218(x))
Eq(F_167(x), F_168(x) + F_176(x))
Eq(F_168(x), F_169(x)*F_24(x))
Eq(F_169(x), F_170(x) + F_2(x))
Eq(F_170(x), F_171(x))
Eq(F_171(x), F_172(x)*F_24(x))
Eq(F_172(x), F_173(x) + F_174(x))
Eq(F_173(x), F_2(x)*F_53(x))
Eq(F_174(x), F_175(x))
Eq(F_175(x), F_0(x)*F_164(x)*F_24(x))
Eq(F_176(x), F_177(x) - F_216(x))
Eq(F_177(x), F_178(x) - F_187(x))
Eq(F_178(x), F_179(x)/F_24(x))
Eq(F_179(x), F_180(x))
Eq(F_180(x), F_181(x) - F_183(x))
Eq(F_181(x), F_182(x))
Eq(F_182(x), F_24(x)*F_51(x))
Eq(F_183(x), F_184(x) + F_24(x))
Eq(F_184(x), F_185(x))
Eq(F_185(x), F_186(x)*F_24(x))
Eq(F_186(x), F_2(x) + F_87(x))
Eq(F_188(x, k_0), F_187(x) + F_213(x, k_0))
Eq(F_189(x, k_0), F_17(x, k_0)*F_188(x, k_0)*F_201(x, k_0))
Eq(F_189(x, k_0), F_190(x, k_0))
Eq(F_191(x, k_0), F_190(x, k_0) + F_208(x, k_0))
Eq(F_192(x, k_0), F_191(x, k_0)*F_24(x))
Eq(F_192(x, k_0), F_193(x, k_0))
Eq(F_193(x, k_0), F_17(x, k_0)*F_194(x, k_0))
Eq(F_194(x, k_0), F_195(x, k_0) + F_207(x, k_0))
Eq(F_195(x, k_0), F_196(x, k_0)*F_27(x))
Eq(F_196(x, k_0), F_197(x, k_0) + F_198(x, k_0))
Eq(F_197(x, k_0), F_1(x) + F_17(x, k_0))
Eq(F_198(x, k_0), F_199(x, k_0) + F_202(x, k_0))
Eq(F_199(x, k_0), F_200(x, k_0))
Eq(F_200(x, k_0), F_17(x, k_0)*F_201(x, k_0))
Eq(F_201(x, k_0), F_1(x) + F_199(x, k_0))
Eq(F_202(x, k_0), F_203(x) + F_204(x, k_0) + F_206(x, k_0))
Eq(F_203(x), 0)
Eq(F_204(x, k_0), F_17(x, k_0)*F_205(x, k_0))
Eq(F_205(x, k_0), F_17(x, k_0) + F_202(x, k_0))
Eq(F_206(x, k_0), F_17(x, k_0)*F_199(x, k_0))
Eq(F_207(x, k_0), F_181(x)*F_201(x, k_0))
Eq(F_208(x, k_0), F_199(x, k_0)*F_209(x))
Eq(F_209(x), F_210(x) + F_211(x))
Eq(F_210(x), F_0(x)*F_53(x))
Eq(F_211(x), F_212(x))
Eq(F_212(x), F_0(x)*F_24(x)*F_58(x))
Eq(F_213(x, k_0), F_201(x, k_0)*F_214(x))
Eq(F_214(x), F_215(x)/F_24(x))
Eq(F_215(x), F_27(x))
Eq(F_216(x), F_217(x)*F_24(x))
Eq(F_217(x), F_169(x) + F_53(x))
Eq(F_218(x), F_184(x)*F_53(x))
Eq(F_219(x), F_220(x)*F_94(x))
Eq(F_220(x), F_221(x))
Eq(F_221(x), F_117(x)*F_24(x))
Eq(F_222(x), F_223(x))
Eq(F_223(x), F_156(x)*F_25(x))
Eq(F_224(x), F_225(x))
Eq(F_225(x), F_226(x)*F_24(x))
Eq(F_226(x), F_227(x) + F_229(x))
Eq(F_227(x), F_228(x)*F_50(x))
Eq(F_228(x), F_26(x) + F_96(x))
Eq(F_229(x), F_230(x))
Eq(F_230(x), F_156(x)*F_231(x))
Eq(F_231(x), F_232(x) + F_26(x))
Eq(F_232(x), F_233(x))
Eq(F_233(x), F_24(x)*F_25(x)*F_26(x))
Eq(F_234(x), F_220(x))
Eq(F_235(x), F_236(x) + F_237(x))
Eq(F_236(x), F_2(x) + F_92(x))
Eq(F_237(x), F_238(x))
Eq(F_238(x), F_2(x)*F_239(x)*F_24(x))
Eq(F_239(x), F_240(x) + F_241(x))
Eq(F_240(x), F_0(x)*F_94(x))
Eq(F_241(x), F_242(x))
Eq(F_242(x), F_24(x)*F_243(x))
Eq(F_243(x), F_244(x) + F_245(x))
Eq(F_244(x), F_50(x)*F_94(x))
Eq(F_245(x), F_246(x))
Eq(F_246(x), F_156(x)*F_247(x))
Eq(F_247(x), F_0(x) + F_248(x))
Eq(F_248(x), F_249(x))
Eq(F_249(x), F_0(x)*F_24(x)*F_25(x))
Eq(F_250(x), F_35(x)*F_54(x))
Eq(F_251(x), F_252(x))
Eq(F_252(x), F_156(x)*F_253(x))
Eq(F_253(x), F_254(x) + F_255(x))
Eq(F_254(x), F_2(x) + F_35(x))
Eq(F_255(x), F_256(x) + F_63(x))
Eq(F_256(x), F_257(x))
Eq(F_257(x), F_24(x)*F_25(x)*F_35(x))
Eq(F_258(x), F_259(x))
Eq(F_259(x), F_24(x)*F_26(x)*F_260(x))
Eq(F_260(x), F_161(x) + F_261(x))
Eq(F_261(x), F_262(x)/F_24(x))
Eq(F_262(x), F_263(x))
Eq(F_263(x), F_264(x) - F_266(x))
Eq(F_264(x), F_265(x) + F_56(x))
Eq(F_265(x), F_26(x)*F_54(x))
Eq(F_266(x), F_267(x))
Eq(F_267(x), F_122(x)*F_24(x)*F_26(x))
Eq(F_268(x, k_0), F_269(x, k_0))
Eq(F_269(x, k_0), F_17(x, k_0)*F_21(x, k_0)*F_270(x, k_0))
Eq(F_270(x, k_0), F_0(x) + F_271(x, k_0))
Eq(F_271(x, k_0), F_272(x, k_0))
Eq(F_272(x, k_0), F_0(x)*F_17(x, k_0)*F_270(x, k_0))
Eq(F_273(x, k_0), F_274(x, k_0))
Eq(F_274(x, k_0), F_17(x, k_0)*F_275(x, k_0))
Eq(F_275(x, k_0), F_276(x, k_0) + F_292(x, k_0))
Eq(F_15(x, k_0), F_276(x, k_0) + F_277(x, k_0))
Eq(F_277(x, k_0), F_278(x, k_0))
Eq(F_278(x, k_0), F_17(x, k_0)*F_279(x, k_0))
Eq(F_279(x, k_0), F_280(x, k_0) + F_290(x, k_0))
Eq(F_280(x, k_0), F_14(x, k_0) + F_281(x, k_0))
Eq(F_281(x, k_0), F_282(x, k_0))
Eq(F_282(x, k_0), F_24(x)*F_283(x, k_0))
Eq(F_283(x, k_0), F_284(x, k_0) + F_288(x, k_0))
Eq(F_284(x, k_0), F_285(x, k_0) + F_286(x, k_0))
Eq(F_285(x, k_0), F_14(x, k_0)*F_26(x))
Eq(F_286(x, k_0), F_287(x, k_0))
Eq(F_287(x, k_0), F_181(x)*F_20(x, k_0))
Eq(F_288(x, k_0), F_289(x, k_0))
Eq(F_289(x, k_0), F_181(x)*F_275(x, k_0))
Eq(F_290(x, k_0), F_291(x, k_0))
Eq(F_291(x, k_0), F_0(x)*F_17(x, k_0)*F_275(x, k_0))
Eq(F_292(x, k_0), F_293(x, k_0))
Eq(F_293(x, k_0), F_17(x, k_0)*F_270(x, k_0)*F_276(x, k_0))
Eq(F_294(x, k_0), F_295(x, k_0))
Eq(F_295(x, k_0), F_24(x)*F_296(x, k_0))
Eq(F_296(x, k_0), F_297(x, k_0) + F_298(x, k_0))
Eq(F_297(x, k_0), F_26(x)*F_9(x, k_0))
Eq(F_298(x, k_0), F_299(x, k_0))
Eq(F_299(x, k_0), F_24(x)*F_300(x, k_0))
Eq(F_300(x, k_0), F_301(x, k_0) + F_305(x, k_0))
Eq(F_301(x, k_0), F_302(x, k_0) + F_303(x, k_0))
Eq(F_302(x, k_0), F_13(x, k_0)*F_51(x))
Eq(F_303(x, k_0), F_304(x, k_0))
Eq(F_304(x, k_0), F_156(x)*F_20(x, k_0))
Eq(F_305(x, k_0), F_306(x, k_0))
Eq(F_306(x, k_0), F_156(x)*F_275(x, k_0))
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, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, 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1]]}, {"patt": [0], "pos": [[3, 2]]}, {"patt": [0], "pos": [[3, 4]]}, {"patt": [0, 1], "pos": [[0, 0], [0, 2]]}, {"patt": [0, 1], "pos": [[0, 0], [0, 4]]}, {"patt": [0, 1], "pos": [[0, 0], [3, 0]]}, {"patt": [0, 1], "pos": [[0, 4], [0, 4]]}, {"patt": [0, 1], "pos": [[2, 1], [2, 1]]}, {"patt": [1, 0], "pos": [[0, 4], [0, 4]]}, {"patt": [1, 0], "pos": [[1, 3], [1, 3]]}, {"patt": [1, 0], "pos": [[1, 3], [3, 3]]}, {"patt": [1, 0], "pos": [[2, 1], [2, 1]]}, {"patt": [1, 0], "pos": [[3, 3], [3, 3]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [1, 3], [1, 3]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [1, 3], [3, 0]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [3, 3], [3, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[1, 0], [1, 3], [1, 3], [1, 3]]}, {"patt": [0, 2, 1, 3], "pos": [[1, 0], [1, 0], [3, 0], [3, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[1, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 2], [0, 2], [0, 4], [0, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [3, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 3], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [3, 0], [3, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[3, 0], [3, 0], [3, 3], [3, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 2], [0, 4], [0, 2], [0, 2]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [3, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 0], [3, 0], [3, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 3], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[3, 0], [3, 3], [3, 0], [3, 0]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 0], [1, 0], [1, 0], [3, 0]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 0], [1, 0], [3, 0], [3, 0]]}, {"patt": [3, 0, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [3, 0]]}, {"patt": [3, 0, 2, 1], "pos": [[1, 0], [1, 0], [3, 0], [3, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[3, 0], [3, 3], [3, 3], [3, 3], [3, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [3, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"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, 0], [1, 0], [1, 0], [3, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[1, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[1, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 4]]}], [{"patt": [0], "pos": [[2, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[1, 0]]}], "indices": [0], "direction": 1, "own_col": true, "own_row": true, "include_empty": false}}, "idx": 0}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalenceRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}], "indices": [0], "direction": 2, "own_col": true, "own_row": true, "include_empty": true}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalenceRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}]}, "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": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 1]]}]}]}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}], "indices": [0], "direction": 2, "own_col": true, "own_row": true, "include_empty": true}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}]}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}]}
Specification 4
Strategy pack name: point_placements_req_corrob
Tree: http://permpal.com/tree/25008/
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[15,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[6,x]
F[6,x] = F[15,x]*F[7,x]
F[7,x] = F[267,x]+F[8,x]
F[8,x] = F[4,x]+F[9,x]
F[9,x] = F[10,x]
F[10,x] = F[11,x]*F[15,x]
F[11,x] = F[12,x]+F[246,x]
F[12,x] = F[13,x]+F[16,x]
F[13,x] = 1/F[15,x]*F[14,x]
F[14,x] = F[5,x]
F[15,x] = x
F[16,x] = F[17,x]
F[17,x] = F[15,x]*F[18,x]
F[18,x] = F[19,x]+F[241,x]
F[19,x] = F[20,x]+F[4,x]
F[20,x] = F[21,x]
F[21,x] = F[15,x]*F[22,x]*F[4,x]
F[22,x] = F[152,x]+F[23,x]
F[23,x] = F[0,x]+F[24,x]
F[24,x] = F[25,x]
F[25,x] = F[15,x]*F[26,x]
F[26,x] = F[27,x]+F[96,x]
F[27,x] = F[23,x]+F[28,x]
F[28,x] = F[29,x]
F[29,x] = F[15,x]*F[30,x]
F[30,x] = F[31,x]+F[34,x]
F[31,x] = F[23,x]*F[32,x]
F[32,x] = 1/F[15,x]*F[33,x]
F[33,x] = F[2,x]
F[34,x] = F[35,x]
F[35,x] = F[15,x]*F[23,x]*F[36,x]
F[36,x] = F[138,x]+F[37,x]
F[37,x] = 1/F[15,x]*F[38,x]
F[38,x] = F[39,x]
F[39,x] = F[40,x]
F[40,x] = F[15,x]*F[41,x]
F[41,x] = 1/F[0,x]/F[15,x]*F[42,x]
F[42,x] = F[43,x]
F[43,x] = -F[52,x]+F[44,x]
F[44,x] = 1/F[15,x]*F[45,x]
F[45,x] = F[46,x]
F[46,x] = -F[51,x]+F[47,x]
F[47,x] = 1/F[15,x]*F[48,x]
F[48,x] = F[49,x]
F[49,x] = -F[2,x]+F[50,x]
F[50,x] = -F[0,x]+F[32,x]
F[51,x] = F[2,x]*F[32,x]
F[52,x] = 1/F[15,x]*F[53,x]
F[53,x] = F[54,x]
F[54,x] = -F[58,x]+F[55,x]
F[55,x] = 1/F[15,x]*F[56,x]
F[56,x] = F[57,x]
F[57,x] = F[2,x]+F[49,x]
F[58,x] = F[238,x]+F[59,x]
F[59,x] = -F[234,x]+F[60,x]
F[60,x] = -F[66,x]+F[61,x]
F[61,x] = 1/F[15,x]*F[62,x]
F[62,x] = F[63,x]
F[63,x] = -F[0,x]+F[64,x]
F[64,x] = 1/F[15,x]*F[65,x]
F[65,x] = F[2,x]
F[66,x] = F[67,x]+F[68,x]
F[67,x] = F[0,x]*F[63,x]
F[68,x] = F[214,x]+F[69,x]
F[69,x] = F[70,x]
F[70,x] = F[15,x]*F[71,x]
F[71,x] = F[72,x]+F[82,x]
F[72,x] = F[64,x]*F[73,x]
F[73,x] = F[74,x]
F[74,x] = F[15,x]*F[75,x]
F[75,x] = F[76,x]+F[80,x]
F[76,x] = F[23,x]+F[77,x]
F[77,x] = F[78,x]
F[78,x] = F[15,x]*F[23,x]*F[79,x]
F[79,x] = F[32,x]+F[39,x]
F[80,x] = F[81,x]
F[81,x] = F[15,x]*F[37,x]
F[82,x] = F[0,x]*F[83,x]
F[83,x] = F[73,x]+F[84,x]
F[84,x] = F[85,x]
F[85,x] = F[15,x]*F[86,x]
F[86,x] = F[87,x]+F[88,x]
F[87,x] = F[73,x]*F[79,x]
F[88,x] = F[0,x]*F[89,x]
F[89,x] = F[90,x]
F[90,x] = F[15,x]*F[91,x]
F[91,x] = 1/F[15,x]*F[92,x]
F[92,x] = F[93,x]
F[93,x] = -F[99,x]+F[94,x]
F[94,x] = 1/F[15,x]*F[95,x]
F[95,x] = F[96,x]
F[96,x] = -F[28,x]+F[97,x]
F[97,x] = 1/F[15,x]*F[98,x]
F[98,x] = F[49,x]
F[99,x] = 1/F[15,x]*F[100,x]
F[100,x] = F[101,x]
F[101,x] = -F[102,x]+F[47,x]
F[102,x] = F[103,x]
F[103,x] = F[104,x]*F[15,x]
F[104,x] = 1/F[15,x]*F[105,x]
F[105,x] = F[106,x]
F[106,x] = F[107,x]+F[109,x]
F[107,x] = F[108,x]
F[108,x] = F[0,x]*F[15,x]*F[79,x]
F[109,x] = F[110,x]
F[110,x] = F[111,x]*F[15,x]
F[111,x] = F[112,x]+F[115,x]
F[112,x] = 1/F[15,x]*F[113,x]
F[113,x] = F[114,x]
F[114,x] = -F[107,x]+F[28,x]
F[115,x] = F[116,x]
F[116,x] = F[117,x]*F[15,x]
F[117,x] = 1/F[15,x]*F[118,x]
F[118,x] = F[119,x]
F[119,x] = F[120,x]+F[142,x]
F[120,x] = F[121,x]*F[139,x]
F[121,x] = -F[136,x]+F[122,x]
F[122,x] = -F[134,x]+F[123,x]
F[123,x] = 1/F[0,x]/F[15,x]*F[124,x]
F[124,x] = F[125,x]
F[125,x] = F[126,x]+F[129,x]
F[126,x] = F[127,x]+F[73,x]
F[127,x] = F[128,x]
F[128,x] = F[15,x]*F[83,x]
F[129,x] = F[130,x]
F[130,x] = F[131,x]*F[15,x]
F[131,x] = F[132,x]+F[133,x]
F[132,x] = F[72,x]+F[82,x]
F[133,x] = F[127,x]*F[64,x]
F[134,x] = 1/F[15,x]*F[135,x]
F[135,x] = F[126,x]
F[136,x] = F[137,x]
F[137,x] = F[138,x]*F[15,x]
F[138,x] = F[93,x]
F[139,x] = F[1,x]+F[140,x]
F[140,x] = F[141,x]
F[141,x] = F[139,x]*F[15,x]
F[142,x] = F[143,x]
F[143,x] = F[121,x]*F[144,x]*F[15,x]
F[144,x] = 1/F[15,x]/F[154,x]*F[145,x]
F[145,x] = F[146,x]
F[146,x] = -F[213,x]+F[147,x]
F[147,x] = F[148,x]
F[148,x] = -F[156,x]+F[149,x]
F[149,x] = 1/F[15,x]*F[150,x]
F[150,x] = F[151,x]
F[151,x] = -F[154,x]+F[152,x]
F[152,x] = F[153,x]
F[153,x] = F[15,x]*F[75,x]
F[154,x] = F[155,x]
F[155,x] = F[15,x]*F[59,x]
F[156,x] = 1/F[139,x]*F[157,x]
F[157,x] = -F[171,x]+F[158,x]
F[158,x] = F[159,x]+F[163,x]
F[159,x] = F[139,x]*F[160,x]
F[160,x] = 1/F[15,x]*F[161,x]
F[161,x] = F[162,x]
F[162,x] = F[151,x]+F[24,x]
F[163,x] = F[164,x]*F[166,x]
F[164,x] = 1/F[15,x]*F[165,x]
F[165,x] = F[24,x]
F[166,x] = F[15,x]+F[167,x]
F[167,x] = F[168,x]+F[169,x]+F[170,x]
F[168,x] = 0
F[169,x] = F[15,x]*F[166,x]
F[170,x] = F[140,x]*F[15,x]
F[171,x] = F[172,x]+F[176,x]
F[172,x] = F[164,x]*F[173,x]
F[173,x] = F[174,x]+F[175,x]
F[174,x] = F[1,x]+F[15,x]
F[175,x] = F[140,x]+F[167,x]
F[176,x] = F[177,x]
F[177,x] = -F[212,x]+F[178,x]
F[178,x] = -F[189,x]+F[179,x]
F[179,x] = 1/F[15,x]*F[180,x]
F[180,x] = F[181,x]
F[181,x] = F[182,x]+F[188,x]
F[182,x] = F[183,x]*F[24,x]
F[183,x] = F[1,x]+F[184,x]
F[184,x] = F[185,x]
F[185,x] = F[15,x]*F[186,x]
F[186,x] = F[183,x]+F[187,x]
F[187,x] = F[140,x]
F[188,x] = F[139,x]*F[151,x]
F[189,x] = -F[209,x]+F[190,x]
F[190,x] = 1/F[15,x]*F[191,x]
F[191,x] = F[192,x]
F[192,x] = -F[200,x]+F[193,x]
F[193,x] = 1/F[15,x]*F[194,x]
F[194,x] = F[195,x]
F[195,x] = F[15,x]*F[196,x]
F[196,x] = F[197,x]+F[199,x]
F[197,x] = F[198,x]
F[198,x] = F[140,x]*F[75,x]
F[199,x] = F[184,x]*F[26,x]
F[200,x] = F[140,x]*F[201,x]
F[201,x] = F[202,x]+F[203,x]
F[202,x] = F[0,x]*F[139,x]
F[203,x] = F[204,x]
F[204,x] = F[0,x]*F[15,x]*F[205,x]
F[205,x] = 1/F[15,x]/F[23,x]*F[206,x]
F[206,x] = F[207,x]
F[207,x] = -F[208,x]+F[75,x]
F[208,x] = F[139,x]*F[23,x]
F[209,x] = F[173,x]*F[210,x]
F[210,x] = 1/F[15,x]*F[211,x]
F[211,x] = F[24,x]
F[212,x] = F[183,x]*F[210,x]
F[213,x] = F[139,x]*F[154,x]
F[214,x] = F[215,x]
F[215,x] = F[15,x]*F[216,x]
F[216,x] = F[217,x]+F[232,x]
F[217,x] = F[218,x]+F[231,x]
F[218,x] = F[219,x]*F[75,x]
F[219,x] = F[220,x]
F[220,x] = F[15,x]*F[221,x]
F[221,x] = F[222,x]+F[223,x]
F[222,x] = F[2,x]*F[23,x]
F[223,x] = F[224,x]
F[224,x] = F[15,x]*F[225,x]
F[225,x] = F[226,x]+F[227,x]
F[226,x] = F[134,x]*F[64,x]
F[227,x] = F[122,x]*F[228,x]
F[228,x] = F[0,x]+F[229,x]
F[229,x] = F[230,x]
F[230,x] = F[0,x]*F[15,x]*F[22,x]
F[231,x] = F[122,x]*F[229,x]
F[232,x] = F[233,x]
F[233,x] = F[122,x]*F[63,x]
F[234,x] = F[235,x]+F[236,x]
F[235,x] = F[0,x]*F[2,x]
F[236,x] = F[237,x]
F[237,x] = F[132,x]*F[15,x]
F[238,x] = F[239,x]+F[63,x]
F[239,x] = F[240,x]
F[240,x] = F[15,x]*F[2,x]*F[61,x]
F[241,x] = F[242,x]
F[242,x] = F[15,x]*F[19,x]*F[243,x]
F[243,x] = F[0,x]+F[244,x]
F[244,x] = F[245,x]
F[245,x] = F[0,x]*F[15,x]*F[243,x]
F[246,x] = F[247,x]
F[247,x] = F[15,x]*F[248,x]
F[248,x] = F[249,x]+F[265,x]
F[249,x] = -F[250,x]+F[13,x]
F[250,x] = F[251,x]
F[251,x] = F[15,x]*F[252,x]
F[252,x] = F[253,x]+F[263,x]
F[253,x] = F[12,x]+F[254,x]
F[254,x] = F[255,x]
F[255,x] = F[15,x]*F[256,x]
F[256,x] = F[257,x]+F[261,x]
F[257,x] = F[258,x]+F[259,x]
F[258,x] = F[12,x]*F[23,x]
F[259,x] = F[260,x]
F[260,x] = F[152,x]*F[18,x]
F[261,x] = F[262,x]
F[262,x] = F[152,x]*F[248,x]
F[263,x] = F[264,x]
F[264,x] = F[0,x]*F[15,x]*F[248,x]
F[265,x] = F[266,x]
F[266,x] = F[15,x]*F[243,x]*F[249,x]
F[267,x] = F[268,x]
F[268,x] = F[15,x]*F[269,x]
F[269,x] = F[270,x]+F[271,x]
F[270,x] = F[23,x]*F[8,x]
F[271,x] = F[272,x]
F[272,x] = F[15,x]*F[273,x]
F[273,x] = F[274,x]+F[278,x]
F[274,x] = F[275,x]+F[276,x]
F[275,x] = F[11,x]*F[75,x]
F[276,x] = F[277,x]
F[277,x] = F[122,x]*F[248,x]
F[278,x] = F[279,x]
F[279,x] = F[122,x]*F[18,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_{15}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{15}\! \left(x \right) F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{267}\! \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_{10}\! \left(x \right) = F_{11}\! \left(x \right) F_{15}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)+F_{246}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)+F_{16}\! \left(x \right)
F_{13}\! \left(x \right) = \frac{F_{14}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{14}\! \left(x \right) = F_{5}\! \left(x \right)
F_{15}\! \left(x \right) = x
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{15}\! \left(x \right) F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)+F_{241}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)+F_{4}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{15}\! \left(x \right) F_{22}\! \left(x \right) F_{4}\! \left(x \right)
F_{22}\! \left(x \right) = F_{152}\! \left(x \right)+F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{0}\! \left(x \right)+F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{15}\! \left(x \right) F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)+F_{96}\! \left(x \right)
F_{27}\! \left(x \right) = F_{23}\! \left(x \right)+F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{15}\! \left(x \right) F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = F_{31}\! \left(x \right)+F_{34}\! \left(x \right)
F_{31}\! \left(x \right) = F_{23}\! \left(x \right) F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = \frac{F_{33}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{33}\! \left(x \right) = F_{2}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{15}\! \left(x \right) F_{23}\! \left(x \right) F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = F_{138}\! \left(x \right)+F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = \frac{F_{38}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{15}\! \left(x \right) F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = \frac{F_{42}\! \left(x \right)}{F_{0}\! \left(x \right) F_{15}\! \left(x \right)}
F_{42}\! \left(x \right) = F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = -F_{52}\! \left(x \right)+F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = \frac{F_{45}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = -F_{51}\! \left(x \right)+F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = \frac{F_{48}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{48}\! \left(x \right) = F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{32}\! \left(x \right)
F_{51}\! \left(x \right) = F_{2}\! \left(x \right) F_{32}\! \left(x \right)
F_{52}\! \left(x \right) = \frac{F_{53}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{53}\! \left(x \right) = F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = -F_{58}\! \left(x \right)+F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = \frac{F_{56}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{56}\! \left(x \right) = F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = F_{2}\! \left(x \right)+F_{49}\! \left(x \right)
F_{58}\! \left(x \right) = F_{238}\! \left(x \right)+F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = -F_{234}\! \left(x \right)+F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = -F_{66}\! \left(x \right)+F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = \frac{F_{62}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = \frac{F_{65}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{65}\! \left(x \right) = F_{2}\! \left(x \right)
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)+F_{68}\! \left(x \right)
F_{67}\! \left(x \right) = F_{0}\! \left(x \right) F_{63}\! \left(x \right)
F_{68}\! \left(x \right) = F_{214}\! \left(x \right)+F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{15}\! \left(x \right) F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{72}\! \left(x \right)+F_{82}\! \left(x \right)
F_{72}\! \left(x \right) = F_{64}\! \left(x \right) F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{15}\! \left(x \right) F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{76}\! \left(x \right)+F_{80}\! \left(x \right)
F_{76}\! \left(x \right) = F_{23}\! \left(x \right)+F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{15}\! \left(x \right) F_{23}\! \left(x \right) F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{32}\! \left(x \right)+F_{39}\! \left(x \right)
F_{80}\! \left(x \right) = F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{15}\! \left(x \right) F_{37}\! \left(x \right)
F_{82}\! \left(x \right) = F_{0}\! \left(x \right) F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = F_{73}\! \left(x \right)+F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{15}\! \left(x \right) F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{87}\! \left(x \right)+F_{88}\! \left(x \right)
F_{87}\! \left(x \right) = F_{73}\! \left(x \right) F_{79}\! \left(x \right)
F_{88}\! \left(x \right) = F_{0}\! \left(x \right) F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{15}\! \left(x \right) F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = \frac{F_{92}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{92}\! \left(x \right) = F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = -F_{99}\! \left(x \right)+F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = \frac{F_{95}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{95}\! \left(x \right) = F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = -F_{28}\! \left(x \right)+F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = \frac{F_{98}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{98}\! \left(x \right) = F_{49}\! \left(x \right)
F_{99}\! \left(x \right) = \frac{F_{100}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)
F_{101}\! \left(x \right) = -F_{102}\! \left(x \right)+F_{47}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right) F_{15}\! \left(x \right)
F_{104}\! \left(x \right) = \frac{F_{105}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{105}\! \left(x \right) = F_{106}\! \left(x \right)
F_{106}\! \left(x \right) = F_{107}\! \left(x \right)+F_{109}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right)
F_{108}\! \left(x \right) = F_{0}\! \left(x \right) F_{15}\! \left(x \right) F_{79}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right) F_{15}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right)+F_{115}\! \left(x \right)
F_{112}\! \left(x \right) = \frac{F_{113}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{113}\! \left(x \right) = F_{114}\! \left(x \right)
F_{114}\! \left(x \right) = -F_{107}\! \left(x \right)+F_{28}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right)
F_{116}\! \left(x \right) = F_{117}\! \left(x \right) F_{15}\! \left(x \right)
F_{117}\! \left(x \right) = \frac{F_{118}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{118}\! \left(x \right) = F_{119}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)+F_{142}\! \left(x \right)
F_{120}\! \left(x \right) = F_{121}\! \left(x \right) F_{139}\! \left(x \right)
F_{121}\! \left(x \right) = -F_{136}\! \left(x \right)+F_{122}\! \left(x \right)
F_{122}\! \left(x \right) = -F_{134}\! \left(x \right)+F_{123}\! \left(x \right)
F_{123}\! \left(x \right) = \frac{F_{124}\! \left(x \right)}{F_{0}\! \left(x \right) F_{15}\! \left(x \right)}
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)+F_{129}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right)+F_{73}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right)
F_{128}\! \left(x \right) = F_{15}\! \left(x \right) F_{83}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right) F_{15}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right)+F_{133}\! \left(x \right)
F_{132}\! \left(x \right) = F_{72}\! \left(x \right)+F_{82}\! \left(x \right)
F_{133}\! \left(x \right) = F_{127}\! \left(x \right) F_{64}\! \left(x \right)
F_{134}\! \left(x \right) = \frac{F_{135}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{135}\! \left(x \right) = F_{126}\! \left(x \right)
F_{136}\! \left(x \right) = F_{137}\! \left(x \right)
F_{137}\! \left(x \right) = F_{138}\! \left(x \right) F_{15}\! \left(x \right)
F_{138}\! \left(x \right) = F_{93}\! \left(x \right)
F_{139}\! \left(x \right) = F_{1}\! \left(x \right)+F_{140}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right)
F_{141}\! \left(x \right) = F_{139}\! \left(x \right) F_{15}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right)
F_{143}\! \left(x \right) = F_{121}\! \left(x \right) F_{144}\! \left(x \right) F_{15}\! \left(x \right)
F_{144}\! \left(x \right) = \frac{F_{145}\! \left(x \right)}{F_{15}\! \left(x \right) F_{154}\! \left(x \right)}
F_{145}\! \left(x \right) = F_{146}\! \left(x \right)
F_{146}\! \left(x \right) = -F_{213}\! \left(x \right)+F_{147}\! \left(x \right)
F_{147}\! \left(x \right) = F_{148}\! \left(x \right)
F_{148}\! \left(x \right) = -F_{156}\! \left(x \right)+F_{149}\! \left(x \right)
F_{149}\! \left(x \right) = \frac{F_{150}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{150}\! \left(x \right) = F_{151}\! \left(x \right)
F_{151}\! \left(x \right) = -F_{154}\! \left(x \right)+F_{152}\! \left(x \right)
F_{152}\! \left(x \right) = F_{153}\! \left(x \right)
F_{153}\! \left(x \right) = F_{15}\! \left(x \right) F_{75}\! \left(x \right)
F_{154}\! \left(x \right) = F_{155}\! \left(x \right)
F_{155}\! \left(x \right) = F_{15}\! \left(x \right) F_{59}\! \left(x \right)
F_{156}\! \left(x \right) = \frac{F_{157}\! \left(x \right)}{F_{139}\! \left(x \right)}
F_{157}\! \left(x \right) = -F_{171}\! \left(x \right)+F_{158}\! \left(x \right)
F_{158}\! \left(x \right) = F_{159}\! \left(x \right)+F_{163}\! \left(x \right)
F_{159}\! \left(x \right) = F_{139}\! \left(x \right) F_{160}\! \left(x \right)
F_{160}\! \left(x \right) = \frac{F_{161}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{161}\! \left(x \right) = F_{162}\! \left(x \right)
F_{162}\! \left(x \right) = F_{151}\! \left(x \right)+F_{24}\! \left(x \right)
F_{163}\! \left(x \right) = F_{164}\! \left(x \right) F_{166}\! \left(x \right)
F_{164}\! \left(x \right) = \frac{F_{165}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{165}\! \left(x \right) = F_{24}\! \left(x \right)
F_{166}\! \left(x \right) = F_{15}\! \left(x \right)+F_{167}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right)+F_{169}\! \left(x \right)+F_{170}\! \left(x \right)
F_{168}\! \left(x \right) = 0
F_{169}\! \left(x \right) = F_{15}\! \left(x \right) F_{166}\! \left(x \right)
F_{170}\! \left(x \right) = F_{140}\! \left(x \right) F_{15}\! \left(x \right)
F_{171}\! \left(x \right) = F_{172}\! \left(x \right)+F_{176}\! \left(x \right)
F_{172}\! \left(x \right) = F_{164}\! \left(x \right) F_{173}\! \left(x \right)
F_{173}\! \left(x \right) = F_{174}\! \left(x \right)+F_{175}\! \left(x \right)
F_{174}\! \left(x \right) = F_{1}\! \left(x \right)+F_{15}\! \left(x \right)
F_{175}\! \left(x \right) = F_{140}\! \left(x \right)+F_{167}\! \left(x \right)
F_{176}\! \left(x \right) = F_{177}\! \left(x \right)
F_{177}\! \left(x \right) = -F_{212}\! \left(x \right)+F_{178}\! \left(x \right)
F_{178}\! \left(x \right) = -F_{189}\! \left(x \right)+F_{179}\! \left(x \right)
F_{179}\! \left(x \right) = \frac{F_{180}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{180}\! \left(x \right) = F_{181}\! \left(x \right)
F_{181}\! \left(x \right) = F_{182}\! \left(x \right)+F_{188}\! \left(x \right)
F_{182}\! \left(x \right) = F_{183}\! \left(x \right) F_{24}\! \left(x \right)
F_{183}\! \left(x \right) = F_{1}\! \left(x \right)+F_{184}\! \left(x \right)
F_{184}\! \left(x \right) = F_{185}\! \left(x \right)
F_{185}\! \left(x \right) = F_{15}\! \left(x \right) F_{186}\! \left(x \right)
F_{186}\! \left(x \right) = F_{183}\! \left(x \right)+F_{187}\! \left(x \right)
F_{187}\! \left(x \right) = F_{140}\! \left(x \right)
F_{188}\! \left(x \right) = F_{139}\! \left(x \right) F_{151}\! \left(x \right)
F_{189}\! \left(x \right) = -F_{209}\! \left(x \right)+F_{190}\! \left(x \right)
F_{190}\! \left(x \right) = \frac{F_{191}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{191}\! \left(x \right) = F_{192}\! \left(x \right)
F_{192}\! \left(x \right) = -F_{200}\! \left(x \right)+F_{193}\! \left(x \right)
F_{193}\! \left(x \right) = \frac{F_{194}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{194}\! \left(x \right) = F_{195}\! \left(x \right)
F_{195}\! \left(x \right) = F_{15}\! \left(x \right) F_{196}\! \left(x \right)
F_{196}\! \left(x \right) = F_{197}\! \left(x \right)+F_{199}\! \left(x \right)
F_{197}\! \left(x \right) = F_{198}\! \left(x \right)
F_{198}\! \left(x \right) = F_{140}\! \left(x \right) F_{75}\! \left(x \right)
F_{199}\! \left(x \right) = F_{184}\! \left(x \right) F_{26}\! \left(x \right)
F_{200}\! \left(x \right) = F_{140}\! \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_{0}\! \left(x \right) F_{139}\! \left(x \right)
F_{203}\! \left(x \right) = F_{204}\! \left(x \right)
F_{204}\! \left(x \right) = F_{0}\! \left(x \right) F_{15}\! \left(x \right) F_{205}\! \left(x \right)
F_{205}\! \left(x \right) = \frac{F_{206}\! \left(x \right)}{F_{15}\! \left(x \right) F_{23}\! \left(x \right)}
F_{206}\! \left(x \right) = F_{207}\! \left(x \right)
F_{207}\! \left(x \right) = -F_{208}\! \left(x \right)+F_{75}\! \left(x \right)
F_{208}\! \left(x \right) = F_{139}\! \left(x \right) F_{23}\! \left(x \right)
F_{209}\! \left(x \right) = F_{173}\! \left(x \right) F_{210}\! \left(x \right)
F_{210}\! \left(x \right) = \frac{F_{211}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{211}\! \left(x \right) = F_{24}\! \left(x \right)
F_{212}\! \left(x \right) = F_{183}\! \left(x \right) F_{210}\! \left(x \right)
F_{213}\! \left(x \right) = F_{139}\! \left(x \right) F_{154}\! \left(x \right)
F_{214}\! \left(x \right) = F_{215}\! \left(x \right)
F_{215}\! \left(x \right) = F_{15}\! \left(x \right) F_{216}\! \left(x \right)
F_{216}\! \left(x \right) = F_{217}\! \left(x \right)+F_{232}\! \left(x \right)
F_{217}\! \left(x \right) = F_{218}\! \left(x \right)+F_{231}\! \left(x \right)
F_{218}\! \left(x \right) = F_{219}\! \left(x \right) F_{75}\! \left(x \right)
F_{219}\! \left(x \right) = F_{220}\! \left(x \right)
F_{220}\! \left(x \right) = F_{15}\! \left(x \right) F_{221}\! \left(x \right)
F_{221}\! \left(x \right) = F_{222}\! \left(x \right)+F_{223}\! \left(x \right)
F_{222}\! \left(x \right) = F_{2}\! \left(x \right) F_{23}\! \left(x \right)
F_{223}\! \left(x \right) = F_{224}\! \left(x \right)
F_{224}\! \left(x \right) = F_{15}\! \left(x \right) F_{225}\! \left(x \right)
F_{225}\! \left(x \right) = F_{226}\! \left(x \right)+F_{227}\! \left(x \right)
F_{226}\! \left(x \right) = F_{134}\! \left(x \right) F_{64}\! \left(x \right)
F_{227}\! \left(x \right) = F_{122}\! \left(x \right) F_{228}\! \left(x \right)
F_{228}\! \left(x \right) = F_{0}\! \left(x \right)+F_{229}\! \left(x \right)
F_{229}\! \left(x \right) = F_{230}\! \left(x \right)
F_{230}\! \left(x \right) = F_{0}\! \left(x \right) F_{15}\! \left(x \right) F_{22}\! \left(x \right)
F_{231}\! \left(x \right) = F_{122}\! \left(x \right) F_{229}\! \left(x \right)
F_{232}\! \left(x \right) = F_{233}\! \left(x \right)
F_{233}\! \left(x \right) = F_{122}\! \left(x \right) F_{63}\! \left(x \right)
F_{234}\! \left(x \right) = F_{235}\! \left(x \right)+F_{236}\! \left(x \right)
F_{235}\! \left(x \right) = F_{0}\! \left(x \right) F_{2}\! \left(x \right)
F_{236}\! \left(x \right) = F_{237}\! \left(x \right)
F_{237}\! \left(x \right) = F_{132}\! \left(x \right) F_{15}\! \left(x \right)
F_{238}\! \left(x \right) = F_{239}\! \left(x \right)+F_{63}\! \left(x \right)
F_{239}\! \left(x \right) = F_{240}\! \left(x \right)
F_{240}\! \left(x \right) = F_{15}\! \left(x \right) F_{2}\! \left(x \right) F_{61}\! \left(x \right)
F_{241}\! \left(x \right) = F_{242}\! \left(x \right)
F_{242}\! \left(x \right) = F_{15}\! \left(x \right) F_{19}\! \left(x \right) F_{243}\! \left(x \right)
F_{243}\! \left(x \right) = F_{0}\! \left(x \right)+F_{244}\! \left(x \right)
F_{244}\! \left(x \right) = F_{245}\! \left(x \right)
F_{245}\! \left(x \right) = F_{0}\! \left(x \right) F_{15}\! \left(x \right) F_{243}\! \left(x \right)
F_{246}\! \left(x \right) = F_{247}\! \left(x \right)
F_{247}\! \left(x \right) = F_{15}\! \left(x \right) F_{248}\! \left(x \right)
F_{248}\! \left(x \right) = F_{249}\! \left(x \right)+F_{265}\! \left(x \right)
F_{249}\! \left(x \right) = -F_{250}\! \left(x \right)+F_{13}\! \left(x \right)
F_{250}\! \left(x \right) = F_{251}\! \left(x \right)
F_{251}\! \left(x \right) = F_{15}\! \left(x \right) F_{252}\! \left(x \right)
F_{252}\! \left(x \right) = F_{253}\! \left(x \right)+F_{263}\! \left(x \right)
F_{253}\! \left(x \right) = F_{12}\! \left(x \right)+F_{254}\! \left(x \right)
F_{254}\! \left(x \right) = F_{255}\! \left(x \right)
F_{255}\! \left(x \right) = F_{15}\! \left(x \right) F_{256}\! \left(x \right)
F_{256}\! \left(x \right) = F_{257}\! \left(x \right)+F_{261}\! \left(x \right)
F_{257}\! \left(x \right) = F_{258}\! \left(x \right)+F_{259}\! \left(x \right)
F_{258}\! \left(x \right) = F_{12}\! \left(x \right) F_{23}\! \left(x \right)
F_{259}\! \left(x \right) = F_{260}\! \left(x \right)
F_{260}\! \left(x \right) = F_{152}\! \left(x \right) F_{18}\! \left(x \right)
F_{261}\! \left(x \right) = F_{262}\! \left(x \right)
F_{262}\! \left(x \right) = F_{152}\! \left(x \right) F_{248}\! \left(x \right)
F_{263}\! \left(x \right) = F_{264}\! \left(x \right)
F_{264}\! \left(x \right) = F_{0}\! \left(x \right) F_{15}\! \left(x \right) F_{248}\! \left(x \right)
F_{265}\! \left(x \right) = F_{266}\! \left(x \right)
F_{266}\! \left(x \right) = F_{15}\! \left(x \right) F_{243}\! \left(x \right) F_{249}\! \left(x \right)
F_{267}\! \left(x \right) = F_{268}\! \left(x \right)
F_{268}\! \left(x \right) = F_{15}\! \left(x \right) F_{269}\! \left(x \right)
F_{269}\! \left(x \right) = F_{270}\! \left(x \right)+F_{271}\! \left(x \right)
F_{270}\! \left(x \right) = F_{23}\! \left(x \right) F_{8}\! \left(x \right)
F_{271}\! \left(x \right) = F_{272}\! \left(x \right)
F_{272}\! \left(x \right) = F_{15}\! \left(x \right) F_{273}\! \left(x \right)
F_{273}\! \left(x \right) = F_{274}\! \left(x \right)+F_{278}\! \left(x \right)
F_{274}\! \left(x \right) = F_{275}\! \left(x \right)+F_{276}\! \left(x \right)
F_{275}\! \left(x \right) = F_{11}\! \left(x \right) F_{75}\! \left(x \right)
F_{276}\! \left(x \right) = F_{277}\! \left(x \right)
F_{277}\! \left(x \right) = F_{122}\! \left(x \right) F_{248}\! \left(x \right)
F_{278}\! \left(x \right) = F_{279}\! \left(x \right)
F_{279}\! \left(x \right) = F_{122}\! \left(x \right) F_{18}\! \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_15(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_6(x))
Eq(F_6(x), F_15(x)*F_7(x))
Eq(F_7(x), F_267(x) + F_8(x))
Eq(F_8(x), F_4(x) + F_9(x))
Eq(F_9(x), F_10(x))
Eq(F_10(x), F_11(x)*F_15(x))
Eq(F_11(x), F_12(x) + F_246(x))
Eq(F_12(x), F_13(x) + F_16(x))
Eq(F_13(x), F_14(x)/F_15(x))
Eq(F_14(x), F_5(x))
Eq(F_15(x), x)
Eq(F_16(x), F_17(x))
Eq(F_17(x), F_15(x)*F_18(x))
Eq(F_18(x), F_19(x) + F_241(x))
Eq(F_19(x), F_20(x) + F_4(x))
Eq(F_20(x), F_21(x))
Eq(F_21(x), F_15(x)*F_22(x)*F_4(x))
Eq(F_22(x), F_152(x) + F_23(x))
Eq(F_23(x), F_0(x) + F_24(x))
Eq(F_24(x), F_25(x))
Eq(F_25(x), F_15(x)*F_26(x))
Eq(F_26(x), F_27(x) + F_96(x))
Eq(F_27(x), F_23(x) + F_28(x))
Eq(F_28(x), F_29(x))
Eq(F_29(x), F_15(x)*F_30(x))
Eq(F_30(x), F_31(x) + F_34(x))
Eq(F_31(x), F_23(x)*F_32(x))
Eq(F_32(x), F_33(x)/F_15(x))
Eq(F_33(x), F_2(x))
Eq(F_34(x), F_35(x))
Eq(F_35(x), F_15(x)*F_23(x)*F_36(x))
Eq(F_36(x), F_138(x) + F_37(x))
Eq(F_37(x), F_38(x)/F_15(x))
Eq(F_38(x), F_39(x))
Eq(F_39(x), F_40(x))
Eq(F_40(x), F_15(x)*F_41(x))
Eq(F_41(x), F_42(x)/(F_0(x)*F_15(x)))
Eq(F_42(x), F_43(x))
Eq(F_43(x), F_44(x) - F_52(x))
Eq(F_44(x), F_45(x)/F_15(x))
Eq(F_45(x), F_46(x))
Eq(F_46(x), F_47(x) - F_51(x))
Eq(F_47(x), F_48(x)/F_15(x))
Eq(F_48(x), F_49(x))
Eq(F_49(x), -F_2(x) + F_50(x))
Eq(F_50(x), -F_0(x) + F_32(x))
Eq(F_51(x), F_2(x)*F_32(x))
Eq(F_52(x), F_53(x)/F_15(x))
Eq(F_53(x), F_54(x))
Eq(F_54(x), F_55(x) - F_58(x))
Eq(F_55(x), F_56(x)/F_15(x))
Eq(F_56(x), F_57(x))
Eq(F_57(x), F_2(x) + F_49(x))
Eq(F_58(x), F_238(x) + F_59(x))
Eq(F_59(x), -F_234(x) + F_60(x))
Eq(F_60(x), F_61(x) - F_66(x))
Eq(F_61(x), F_62(x)/F_15(x))
Eq(F_62(x), F_63(x))
Eq(F_63(x), -F_0(x) + F_64(x))
Eq(F_64(x), F_65(x)/F_15(x))
Eq(F_65(x), F_2(x))
Eq(F_66(x), F_67(x) + F_68(x))
Eq(F_67(x), F_0(x)*F_63(x))
Eq(F_68(x), F_214(x) + F_69(x))
Eq(F_69(x), F_70(x))
Eq(F_70(x), F_15(x)*F_71(x))
Eq(F_71(x), F_72(x) + F_82(x))
Eq(F_72(x), F_64(x)*F_73(x))
Eq(F_73(x), F_74(x))
Eq(F_74(x), F_15(x)*F_75(x))
Eq(F_75(x), F_76(x) + F_80(x))
Eq(F_76(x), F_23(x) + F_77(x))
Eq(F_77(x), F_78(x))
Eq(F_78(x), F_15(x)*F_23(x)*F_79(x))
Eq(F_79(x), F_32(x) + F_39(x))
Eq(F_80(x), F_81(x))
Eq(F_81(x), F_15(x)*F_37(x))
Eq(F_82(x), F_0(x)*F_83(x))
Eq(F_83(x), F_73(x) + F_84(x))
Eq(F_84(x), F_85(x))
Eq(F_85(x), F_15(x)*F_86(x))
Eq(F_86(x), F_87(x) + F_88(x))
Eq(F_87(x), F_73(x)*F_79(x))
Eq(F_88(x), F_0(x)*F_89(x))
Eq(F_89(x), F_90(x))
Eq(F_90(x), F_15(x)*F_91(x))
Eq(F_91(x), F_92(x)/F_15(x))
Eq(F_92(x), F_93(x))
Eq(F_93(x), F_94(x) - F_99(x))
Eq(F_94(x), F_95(x)/F_15(x))
Eq(F_95(x), F_96(x))
Eq(F_96(x), -F_28(x) + F_97(x))
Eq(F_97(x), F_98(x)/F_15(x))
Eq(F_98(x), F_49(x))
Eq(F_99(x), F_100(x)/F_15(x))
Eq(F_100(x), F_101(x))
Eq(F_101(x), -F_102(x) + F_47(x))
Eq(F_102(x), F_103(x))
Eq(F_103(x), F_104(x)*F_15(x))
Eq(F_104(x), F_105(x)/F_15(x))
Eq(F_105(x), F_106(x))
Eq(F_106(x), F_107(x) + F_109(x))
Eq(F_107(x), F_108(x))
Eq(F_108(x), F_0(x)*F_15(x)*F_79(x))
Eq(F_109(x), F_110(x))
Eq(F_110(x), F_111(x)*F_15(x))
Eq(F_111(x), F_112(x) + F_115(x))
Eq(F_112(x), F_113(x)/F_15(x))
Eq(F_113(x), F_114(x))
Eq(F_114(x), -F_107(x) + F_28(x))
Eq(F_115(x), F_116(x))
Eq(F_116(x), F_117(x)*F_15(x))
Eq(F_117(x), F_118(x)/F_15(x))
Eq(F_118(x), F_119(x))
Eq(F_119(x), F_120(x) + F_142(x))
Eq(F_120(x), F_121(x)*F_139(x))
Eq(F_121(x), F_122(x) - F_136(x))
Eq(F_122(x), F_123(x) - F_134(x))
Eq(F_123(x), F_124(x)/(F_0(x)*F_15(x)))
Eq(F_124(x), F_125(x))
Eq(F_125(x), F_126(x) + F_129(x))
Eq(F_126(x), F_127(x) + F_73(x))
Eq(F_127(x), F_128(x))
Eq(F_128(x), F_15(x)*F_83(x))
Eq(F_129(x), F_130(x))
Eq(F_130(x), F_131(x)*F_15(x))
Eq(F_131(x), F_132(x) + F_133(x))
Eq(F_132(x), F_72(x) + F_82(x))
Eq(F_133(x), F_127(x)*F_64(x))
Eq(F_134(x), F_135(x)/F_15(x))
Eq(F_135(x), F_126(x))
Eq(F_136(x), F_137(x))
Eq(F_137(x), F_138(x)*F_15(x))
Eq(F_138(x), F_93(x))
Eq(F_139(x), F_1(x) + F_140(x))
Eq(F_140(x), F_141(x))
Eq(F_141(x), F_139(x)*F_15(x))
Eq(F_142(x), F_143(x))
Eq(F_143(x), F_121(x)*F_144(x)*F_15(x))
Eq(F_144(x), F_145(x)/(F_15(x)*F_154(x)))
Eq(F_145(x), F_146(x))
Eq(F_146(x), F_147(x) - F_213(x))
Eq(F_147(x), F_148(x))
Eq(F_148(x), F_149(x) - F_156(x))
Eq(F_149(x), F_150(x)/F_15(x))
Eq(F_150(x), F_151(x))
Eq(F_151(x), F_152(x) - F_154(x))
Eq(F_152(x), F_153(x))
Eq(F_153(x), F_15(x)*F_75(x))
Eq(F_154(x), F_155(x))
Eq(F_155(x), F_15(x)*F_59(x))
Eq(F_156(x), F_157(x)/F_139(x))
Eq(F_157(x), F_158(x) - F_171(x))
Eq(F_158(x), F_159(x) + F_163(x))
Eq(F_159(x), F_139(x)*F_160(x))
Eq(F_160(x), F_161(x)/F_15(x))
Eq(F_161(x), F_162(x))
Eq(F_162(x), F_151(x) + F_24(x))
Eq(F_163(x), F_164(x)*F_166(x))
Eq(F_164(x), F_165(x)/F_15(x))
Eq(F_165(x), F_24(x))
Eq(F_166(x), F_15(x) + F_167(x))
Eq(F_167(x), F_168(x) + F_169(x) + F_170(x))
Eq(F_168(x), 0)
Eq(F_169(x), F_15(x)*F_166(x))
Eq(F_170(x), F_140(x)*F_15(x))
Eq(F_171(x), F_172(x) + F_176(x))
Eq(F_172(x), F_164(x)*F_173(x))
Eq(F_173(x), F_174(x) + F_175(x))
Eq(F_174(x), F_1(x) + F_15(x))
Eq(F_175(x), F_140(x) + F_167(x))
Eq(F_176(x), F_177(x))
Eq(F_177(x), F_178(x) - F_212(x))
Eq(F_178(x), F_179(x) - F_189(x))
Eq(F_179(x), F_180(x)/F_15(x))
Eq(F_180(x), F_181(x))
Eq(F_181(x), F_182(x) + F_188(x))
Eq(F_182(x), F_183(x)*F_24(x))
Eq(F_183(x), F_1(x) + F_184(x))
Eq(F_184(x), F_185(x))
Eq(F_185(x), F_15(x)*F_186(x))
Eq(F_186(x), F_183(x) + F_187(x))
Eq(F_187(x), F_140(x))
Eq(F_188(x), F_139(x)*F_151(x))
Eq(F_189(x), F_190(x) - F_209(x))
Eq(F_190(x), F_191(x)/F_15(x))
Eq(F_191(x), F_192(x))
Eq(F_192(x), F_193(x) - F_200(x))
Eq(F_193(x), F_194(x)/F_15(x))
Eq(F_194(x), F_195(x))
Eq(F_195(x), F_15(x)*F_196(x))
Eq(F_196(x), F_197(x) + F_199(x))
Eq(F_197(x), F_198(x))
Eq(F_198(x), F_140(x)*F_75(x))
Eq(F_199(x), F_184(x)*F_26(x))
Eq(F_200(x), F_140(x)*F_201(x))
Eq(F_201(x), F_202(x) + F_203(x))
Eq(F_202(x), F_0(x)*F_139(x))
Eq(F_203(x), F_204(x))
Eq(F_204(x), F_0(x)*F_15(x)*F_205(x))
Eq(F_205(x), F_206(x)/(F_15(x)*F_23(x)))
Eq(F_206(x), F_207(x))
Eq(F_207(x), -F_208(x) + F_75(x))
Eq(F_208(x), F_139(x)*F_23(x))
Eq(F_209(x), F_173(x)*F_210(x))
Eq(F_210(x), F_211(x)/F_15(x))
Eq(F_211(x), F_24(x))
Eq(F_212(x), F_183(x)*F_210(x))
Eq(F_213(x), F_139(x)*F_154(x))
Eq(F_214(x), F_215(x))
Eq(F_215(x), F_15(x)*F_216(x))
Eq(F_216(x), F_217(x) + F_232(x))
Eq(F_217(x), F_218(x) + F_231(x))
Eq(F_218(x), F_219(x)*F_75(x))
Eq(F_219(x), F_220(x))
Eq(F_220(x), F_15(x)*F_221(x))
Eq(F_221(x), F_222(x) + F_223(x))
Eq(F_222(x), F_2(x)*F_23(x))
Eq(F_223(x), F_224(x))
Eq(F_224(x), F_15(x)*F_225(x))
Eq(F_225(x), F_226(x) + F_227(x))
Eq(F_226(x), F_134(x)*F_64(x))
Eq(F_227(x), F_122(x)*F_228(x))
Eq(F_228(x), F_0(x) + F_229(x))
Eq(F_229(x), F_230(x))
Eq(F_230(x), F_0(x)*F_15(x)*F_22(x))
Eq(F_231(x), F_122(x)*F_229(x))
Eq(F_232(x), F_233(x))
Eq(F_233(x), F_122(x)*F_63(x))
Eq(F_234(x), F_235(x) + F_236(x))
Eq(F_235(x), F_0(x)*F_2(x))
Eq(F_236(x), F_237(x))
Eq(F_237(x), F_132(x)*F_15(x))
Eq(F_238(x), F_239(x) + F_63(x))
Eq(F_239(x), F_240(x))
Eq(F_240(x), F_15(x)*F_2(x)*F_61(x))
Eq(F_241(x), F_242(x))
Eq(F_242(x), F_15(x)*F_19(x)*F_243(x))
Eq(F_243(x), F_0(x) + F_244(x))
Eq(F_244(x), F_245(x))
Eq(F_245(x), F_0(x)*F_15(x)*F_243(x))
Eq(F_246(x), F_247(x))
Eq(F_247(x), F_15(x)*F_248(x))
Eq(F_248(x), F_249(x) + F_265(x))
Eq(F_249(x), F_13(x) - F_250(x))
Eq(F_250(x), F_251(x))
Eq(F_251(x), F_15(x)*F_252(x))
Eq(F_252(x), F_253(x) + F_263(x))
Eq(F_253(x), F_12(x) + F_254(x))
Eq(F_254(x), F_255(x))
Eq(F_255(x), F_15(x)*F_256(x))
Eq(F_256(x), F_257(x) + F_261(x))
Eq(F_257(x), F_258(x) + F_259(x))
Eq(F_258(x), F_12(x)*F_23(x))
Eq(F_259(x), F_260(x))
Eq(F_260(x), F_152(x)*F_18(x))
Eq(F_261(x), F_262(x))
Eq(F_262(x), F_152(x)*F_248(x))
Eq(F_263(x), F_264(x))
Eq(F_264(x), F_0(x)*F_15(x)*F_248(x))
Eq(F_265(x), F_266(x))
Eq(F_266(x), F_15(x)*F_243(x)*F_249(x))
Eq(F_267(x), F_268(x))
Eq(F_268(x), F_15(x)*F_269(x))
Eq(F_269(x), F_270(x) + F_271(x))
Eq(F_270(x), F_23(x)*F_8(x))
Eq(F_271(x), F_272(x))
Eq(F_272(x), F_15(x)*F_273(x))
Eq(F_273(x), F_274(x) + F_278(x))
Eq(F_274(x), F_275(x) + F_276(x))
Eq(F_275(x), F_11(x)*F_75(x))
Eq(F_276(x), F_277(x))
Eq(F_277(x), F_122(x)*F_248(x))
Eq(F_278(x), F_279(x))
Eq(F_279(x), F_122(x)*F_18(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, 3, 4, 1], [0, 2, 4, 1, 3], [0, 2, 4, 3, 1], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1], [0, 4, 2, 1, 3], [0, 4, 2, 3, 1], [0, 4, 3, 2, 1], [3, 0, 2, 4, 1], [3, 0, 4, 2, 1]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 2, 4, 1, 3], [0, 2, 4, 3, 1], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1], [0, 4, 2, 1, 3], [0, 4, 2, 3, 1], [0, 4, 3, 2, 1], [3, 0, 2, 4, 1], [3, 0, 4, 2, 1]], "symmetry": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], 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[0, 2]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"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, 0], [1, 0], [1, 0], [3, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[1, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[1, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 4]]}], [{"patt": [0], "pos": [[2, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[1, 0]]}], "indices": [0], "direction": 1, "own_col": true, "own_row": true, "include_empty": false}}, "idx": 0}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalenceRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [1, 0, 2], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 0], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [2, 1, 0], "pos": [[0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 2]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[1, 2], [1, 0]]}, {"patt": [1, 0, 2], "pos": [[1, 2], [1, 2], [1, 2]]}, {"patt": [1, 2, 0], "pos": [[1, 2], [1, 2], [1, 2]]}, {"patt": [2, 1, 0], "pos": [[1, 2], [1, 2], [1, 2]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}], "indices": [0], "direction": 2, "own_col": true, "own_row": true, "include_empty": true}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalenceRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 0]]}, {"patt": [1, 0, 2], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [1, 2, 0], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [2, 1, 0], "pos": [[0, 1], [0, 1], [0, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 0]]}, {"patt": [1, 0, 2], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [1, 2, 0], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [2, 1, 0], "pos": [[0, 1], [0, 1], [0, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementInsertionStrategy", "ignore_parent": true, "gps": [{"patt": [0], "pos": [[0, 1]]}]}}}]}, {"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 5
Strategy pack name: point_placements_req_corrob
Tree: http://permpal.com/tree/25198/
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[15,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[6,x]
F[6,x] = F[15,x]*F[7,x]
F[7,x] = F[278,x]+F[8,x]
F[8,x] = F[4,x]+F[9,x]
F[9,x] = F[10,x]
F[10,x] = F[11,x]*F[15,x]
F[11,x] = F[12,x]+F[257,x]
F[12,x] = F[13,x]+F[16,x]
F[13,x] = 1/F[15,x]*F[14,x]
F[14,x] = F[5,x]
F[15,x] = x
F[16,x] = F[17,x]
F[17,x] = F[15,x]*F[18,x]
F[18,x] = F[19,x]+F[252,x]
F[19,x] = F[20,x]+F[4,x]
F[20,x] = F[21,x]
F[21,x] = F[15,x]*F[22,x]*F[4,x]
F[22,x] = F[152,x]+F[23,x]
F[23,x] = F[0,x]+F[24,x]
F[24,x] = F[25,x]
F[25,x] = F[15,x]*F[26,x]
F[26,x] = F[27,x]+F[95,x]
F[27,x] = F[23,x]+F[28,x]
F[28,x] = F[29,x]
F[29,x] = F[15,x]*F[30,x]
F[30,x] = F[31,x]+F[34,x]
F[31,x] = F[23,x]*F[32,x]
F[32,x] = 1/F[15,x]*F[33,x]
F[33,x] = F[2,x]
F[34,x] = F[35,x]
F[35,x] = F[15,x]*F[23,x]*F[36,x]
F[36,x] = F[128,x]+F[37,x]
F[37,x] = 1/F[15,x]*F[38,x]
F[38,x] = F[39,x]
F[39,x] = F[40,x]
F[40,x] = F[15,x]*F[41,x]
F[41,x] = 1/F[0,x]/F[15,x]*F[42,x]
F[42,x] = F[43,x]
F[43,x] = -F[52,x]+F[44,x]
F[44,x] = 1/F[15,x]*F[45,x]
F[45,x] = F[46,x]
F[46,x] = -F[51,x]+F[47,x]
F[47,x] = 1/F[15,x]*F[48,x]
F[48,x] = F[49,x]
F[49,x] = -F[2,x]+F[50,x]
F[50,x] = -F[0,x]+F[32,x]
F[51,x] = F[2,x]*F[32,x]
F[52,x] = 1/F[15,x]*F[53,x]
F[53,x] = F[54,x]
F[54,x] = -F[57,x]+F[55,x]
F[55,x] = 1/F[15,x]*F[56,x]
F[56,x] = F[50,x]
F[57,x] = F[249,x]+F[58,x]
F[58,x] = F[0,x]+F[59,x]
F[59,x] = -F[247,x]+F[60,x]
F[60,x] = -F[63,x]+F[61,x]
F[61,x] = 1/F[15,x]*F[62,x]
F[62,x] = F[49,x]
F[63,x] = F[242,x]+F[64,x]
F[64,x] = -F[65,x]+F[61,x]
F[65,x] = F[240,x]+F[66,x]
F[66,x] = -F[239,x]+F[67,x]
F[67,x] = -F[73,x]+F[68,x]
F[68,x] = 1/F[15,x]*F[69,x]
F[69,x] = F[70,x]
F[70,x] = -F[0,x]+F[71,x]
F[71,x] = 1/F[15,x]*F[72,x]
F[72,x] = F[2,x]
F[73,x] = F[74,x]+F[75,x]
F[74,x] = F[0,x]*F[70,x]
F[75,x] = F[224,x]+F[76,x]
F[76,x] = F[77,x]
F[77,x] = F[15,x]*F[78,x]
F[78,x] = F[79,x]+F[80,x]
F[79,x] = F[59,x]*F[71,x]
F[80,x] = F[0,x]*F[81,x]
F[81,x] = F[59,x]+F[82,x]
F[82,x] = F[83,x]
F[83,x] = F[15,x]*F[84,x]
F[84,x] = F[85,x]+F[87,x]
F[85,x] = F[59,x]*F[86,x]
F[86,x] = F[32,x]+F[39,x]
F[87,x] = F[0,x]*F[88,x]
F[88,x] = F[89,x]
F[89,x] = F[15,x]*F[90,x]
F[90,x] = 1/F[15,x]*F[91,x]
F[91,x] = F[92,x]
F[92,x] = -F[98,x]+F[93,x]
F[93,x] = 1/F[15,x]*F[94,x]
F[94,x] = F[95,x]
F[95,x] = -F[28,x]+F[96,x]
F[96,x] = 1/F[15,x]*F[97,x]
F[97,x] = F[49,x]
F[98,x] = 1/F[15,x]*F[99,x]
F[99,x] = F[100,x]
F[100,x] = -F[101,x]+F[47,x]
F[101,x] = F[102,x]
F[102,x] = F[103,x]*F[15,x]
F[103,x] = 1/F[15,x]*F[104,x]
F[104,x] = F[105,x]
F[105,x] = F[106,x]+F[108,x]
F[106,x] = F[107,x]
F[107,x] = F[0,x]*F[15,x]*F[86,x]
F[108,x] = F[109,x]
F[109,x] = F[110,x]*F[15,x]
F[110,x] = F[111,x]+F[114,x]
F[111,x] = 1/F[15,x]*F[112,x]
F[112,x] = F[113,x]
F[113,x] = -F[106,x]+F[28,x]
F[114,x] = F[115,x]
F[115,x] = F[116,x]*F[15,x]
F[116,x] = 1/F[15,x]*F[117,x]
F[117,x] = F[118,x]
F[118,x] = F[119,x]+F[132,x]
F[119,x] = F[120,x]*F[129,x]
F[120,x] = -F[126,x]+F[121,x]
F[121,x] = -F[124,x]+F[122,x]
F[122,x] = 1/F[0,x]/F[15,x]*F[123,x]
F[123,x] = F[65,x]
F[124,x] = 1/F[15,x]*F[125,x]
F[125,x] = F[60,x]
F[126,x] = F[127,x]
F[127,x] = F[128,x]*F[15,x]
F[128,x] = F[92,x]
F[129,x] = F[1,x]+F[130,x]
F[130,x] = F[131,x]
F[131,x] = F[129,x]*F[15,x]
F[132,x] = F[133,x]
F[133,x] = F[120,x]*F[134,x]*F[15,x]
F[134,x] = 1/F[15,x]/F[160,x]*F[135,x]
F[135,x] = F[136,x]
F[136,x] = -F[223,x]+F[137,x]
F[137,x] = F[138,x]+F[146,x]
F[138,x] = F[139,x]*F[15,x]
F[139,x] = F[140,x]+F[2,x]
F[140,x] = F[141,x]
F[141,x] = F[142,x]*F[15,x]
F[142,x] = F[143,x]+F[144,x]
F[143,x] = F[129,x]*F[2,x]
F[144,x] = F[145,x]
F[145,x] = F[0,x]*F[134,x]*F[15,x]
F[146,x] = -F[221,x]+F[147,x]
F[147,x] = F[148,x]
F[148,x] = -F[164,x]+F[149,x]
F[149,x] = 1/F[15,x]*F[150,x]
F[150,x] = F[151,x]
F[151,x] = -F[160,x]+F[152,x]
F[152,x] = F[153,x]
F[153,x] = F[15,x]*F[154,x]
F[154,x] = F[155,x]+F[158,x]
F[155,x] = F[156,x]+F[23,x]
F[156,x] = F[157,x]
F[157,x] = F[15,x]*F[23,x]*F[86,x]
F[158,x] = F[159,x]
F[159,x] = F[15,x]*F[37,x]
F[160,x] = F[15,x]+F[161,x]
F[161,x] = F[162,x]
F[162,x] = F[15,x]*F[163,x]
F[163,x] = F[2,x]+F[59,x]
F[164,x] = 1/F[129,x]*F[165,x]
F[165,x] = -F[179,x]+F[166,x]
F[166,x] = F[167,x]+F[171,x]
F[167,x] = F[129,x]*F[168,x]
F[168,x] = 1/F[15,x]*F[169,x]
F[169,x] = F[170,x]
F[170,x] = F[151,x]+F[24,x]
F[171,x] = F[172,x]*F[174,x]
F[172,x] = 1/F[15,x]*F[173,x]
F[173,x] = F[24,x]
F[174,x] = F[15,x]+F[175,x]
F[175,x] = F[176,x]+F[177,x]+F[178,x]
F[176,x] = 0
F[177,x] = F[15,x]*F[174,x]
F[178,x] = F[130,x]*F[15,x]
F[179,x] = F[180,x]+F[184,x]
F[180,x] = F[172,x]*F[181,x]
F[181,x] = F[182,x]+F[183,x]
F[182,x] = F[1,x]+F[15,x]
F[183,x] = F[130,x]+F[175,x]
F[184,x] = F[185,x]
F[185,x] = -F[220,x]+F[186,x]
F[186,x] = -F[197,x]+F[187,x]
F[187,x] = 1/F[15,x]*F[188,x]
F[188,x] = F[189,x]
F[189,x] = F[190,x]+F[196,x]
F[190,x] = F[191,x]*F[24,x]
F[191,x] = F[1,x]+F[192,x]
F[192,x] = F[193,x]
F[193,x] = F[15,x]*F[194,x]
F[194,x] = F[191,x]+F[195,x]
F[195,x] = F[130,x]
F[196,x] = F[129,x]*F[151,x]
F[197,x] = -F[217,x]+F[198,x]
F[198,x] = 1/F[15,x]*F[199,x]
F[199,x] = F[200,x]
F[200,x] = -F[208,x]+F[201,x]
F[201,x] = 1/F[15,x]*F[202,x]
F[202,x] = F[203,x]
F[203,x] = F[15,x]*F[204,x]
F[204,x] = F[205,x]+F[207,x]
F[205,x] = F[206,x]
F[206,x] = F[130,x]*F[154,x]
F[207,x] = F[192,x]*F[26,x]
F[208,x] = F[130,x]*F[209,x]
F[209,x] = F[210,x]+F[211,x]
F[210,x] = F[0,x]*F[129,x]
F[211,x] = F[212,x]
F[212,x] = F[0,x]*F[15,x]*F[213,x]
F[213,x] = 1/F[15,x]/F[23,x]*F[214,x]
F[214,x] = F[215,x]
F[215,x] = -F[216,x]+F[154,x]
F[216,x] = F[129,x]*F[23,x]
F[217,x] = F[181,x]*F[218,x]
F[218,x] = 1/F[15,x]*F[219,x]
F[219,x] = F[24,x]
F[220,x] = F[191,x]*F[218,x]
F[221,x] = F[15,x]*F[222,x]
F[222,x] = F[129,x]+F[139,x]
F[223,x] = F[129,x]*F[161,x]
F[224,x] = F[225,x]
F[225,x] = F[15,x]*F[226,x]
F[226,x] = F[227,x]+F[237,x]
F[227,x] = F[228,x]+F[234,x]
F[228,x] = F[154,x]*F[229,x]
F[229,x] = F[230,x]
F[230,x] = F[15,x]*F[231,x]
F[231,x] = F[232,x]+F[233,x]
F[232,x] = F[2,x]*F[71,x]
F[233,x] = F[66,x]+F[75,x]
F[234,x] = F[121,x]*F[235,x]
F[235,x] = F[236,x]
F[236,x] = F[0,x]*F[15,x]*F[22,x]
F[237,x] = F[238,x]
F[238,x] = F[121,x]*F[70,x]
F[239,x] = F[0,x]^2
F[240,x] = F[241,x]
F[241,x] = F[0,x]*F[15,x]*F[81,x]
F[242,x] = F[243,x]
F[243,x] = F[15,x]*F[244,x]
F[244,x] = F[245,x]+F[246,x]
F[245,x] = F[79,x]+F[80,x]
F[246,x] = F[247,x]*F[71,x]
F[247,x] = F[248,x]
F[248,x] = F[15,x]*F[81,x]
F[249,x] = F[250,x]+F[70,x]
F[250,x] = F[251,x]
F[251,x] = F[15,x]*F[2,x]*F[68,x]
F[252,x] = F[253,x]
F[253,x] = F[15,x]*F[19,x]*F[254,x]
F[254,x] = F[0,x]+F[255,x]
F[255,x] = F[256,x]
F[256,x] = F[0,x]*F[15,x]*F[254,x]
F[257,x] = F[258,x]
F[258,x] = F[15,x]*F[259,x]
F[259,x] = F[260,x]+F[276,x]
F[260,x] = -F[261,x]+F[13,x]
F[261,x] = F[262,x]
F[262,x] = F[15,x]*F[263,x]
F[263,x] = F[264,x]+F[274,x]
F[264,x] = F[12,x]+F[265,x]
F[265,x] = F[266,x]
F[266,x] = F[15,x]*F[267,x]
F[267,x] = F[268,x]+F[272,x]
F[268,x] = F[269,x]+F[270,x]
F[269,x] = F[12,x]*F[23,x]
F[270,x] = F[271,x]
F[271,x] = F[152,x]*F[18,x]
F[272,x] = F[273,x]
F[273,x] = F[152,x]*F[259,x]
F[274,x] = F[275,x]
F[275,x] = F[0,x]*F[15,x]*F[259,x]
F[276,x] = F[277,x]
F[277,x] = F[15,x]*F[254,x]*F[260,x]
F[278,x] = F[279,x]
F[279,x] = F[15,x]*F[280,x]
F[280,x] = F[281,x]+F[282,x]
F[281,x] = F[23,x]*F[8,x]
F[282,x] = F[283,x]
F[283,x] = F[15,x]*F[284,x]
F[284,x] = F[285,x]+F[289,x]
F[285,x] = F[286,x]+F[287,x]
F[286,x] = F[11,x]*F[154,x]
F[287,x] = F[288,x]
F[288,x] = F[121,x]*F[18,x]
F[289,x] = F[290,x]
F[290,x] = F[121,x]*F[259,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_{15}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{15}\! \left(x \right) F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{278}\! \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_{10}\! \left(x \right) = F_{11}\! \left(x \right) F_{15}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)+F_{257}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)+F_{16}\! \left(x \right)
F_{13}\! \left(x \right) = \frac{F_{14}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{14}\! \left(x \right) = F_{5}\! \left(x \right)
F_{15}\! \left(x \right) = x
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{15}\! \left(x \right) F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)+F_{252}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)+F_{4}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{15}\! \left(x \right) F_{22}\! \left(x \right) F_{4}\! \left(x \right)
F_{22}\! \left(x \right) = F_{152}\! \left(x \right)+F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{0}\! \left(x \right)+F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{15}\! \left(x \right) F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)+F_{95}\! \left(x \right)
F_{27}\! \left(x \right) = F_{23}\! \left(x \right)+F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{15}\! \left(x \right) F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = F_{31}\! \left(x \right)+F_{34}\! \left(x \right)
F_{31}\! \left(x \right) = F_{23}\! \left(x \right) F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = \frac{F_{33}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{33}\! \left(x \right) = F_{2}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{15}\! \left(x \right) F_{23}\! \left(x \right) F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = F_{128}\! \left(x \right)+F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = \frac{F_{38}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{15}\! \left(x \right) F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = \frac{F_{42}\! \left(x \right)}{F_{0}\! \left(x \right) F_{15}\! \left(x \right)}
F_{42}\! \left(x \right) = F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = -F_{52}\! \left(x \right)+F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = \frac{F_{45}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = -F_{51}\! \left(x \right)+F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = \frac{F_{48}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{48}\! \left(x \right) = F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{32}\! \left(x \right)
F_{51}\! \left(x \right) = F_{2}\! \left(x \right) F_{32}\! \left(x \right)
F_{52}\! \left(x \right) = \frac{F_{53}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{53}\! \left(x \right) = F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = -F_{57}\! \left(x \right)+F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = \frac{F_{56}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{56}\! \left(x \right) = F_{50}\! \left(x \right)
F_{57}\! \left(x \right) = F_{249}\! \left(x \right)+F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{0}\! \left(x \right)+F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = -F_{247}\! \left(x \right)+F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = -F_{63}\! \left(x \right)+F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = \frac{F_{62}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{62}\! \left(x \right) = F_{49}\! \left(x \right)
F_{63}\! \left(x \right) = F_{242}\! \left(x \right)+F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = -F_{65}\! \left(x \right)+F_{61}\! \left(x \right)
F_{65}\! \left(x \right) = F_{240}\! \left(x \right)+F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = -F_{239}\! \left(x \right)+F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = -F_{73}\! \left(x \right)+F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = \frac{F_{69}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{69}\! \left(x \right) = F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = \frac{F_{72}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{72}\! \left(x \right) = F_{2}\! \left(x \right)
F_{73}\! \left(x \right) = F_{74}\! \left(x \right)+F_{75}\! \left(x \right)
F_{74}\! \left(x \right) = F_{0}\! \left(x \right) F_{70}\! \left(x \right)
F_{75}\! \left(x \right) = F_{224}\! \left(x \right)+F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{15}\! \left(x \right) F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{79}\! \left(x \right)+F_{80}\! \left(x \right)
F_{79}\! \left(x \right) = F_{59}\! \left(x \right) F_{71}\! \left(x \right)
F_{80}\! \left(x \right) = F_{0}\! \left(x \right) F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{59}\! \left(x \right)+F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = F_{15}\! \left(x \right) F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{85}\! \left(x \right)+F_{87}\! \left(x \right)
F_{85}\! \left(x \right) = F_{59}\! \left(x \right) F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{32}\! \left(x \right)+F_{39}\! \left(x \right)
F_{87}\! \left(x \right) = F_{0}\! \left(x \right) F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{15}\! \left(x \right) F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = \frac{F_{91}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{91}\! \left(x \right) = F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = -F_{98}\! \left(x \right)+F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = \frac{F_{94}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{94}\! \left(x \right) = F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = -F_{28}\! \left(x \right)+F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = \frac{F_{97}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{97}\! \left(x \right) = F_{49}\! \left(x \right)
F_{98}\! \left(x \right) = \frac{F_{99}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{99}\! \left(x \right) = F_{100}\! \left(x \right)
F_{100}\! \left(x \right) = -F_{101}\! \left(x \right)+F_{47}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right) F_{15}\! \left(x \right)
F_{103}\! \left(x \right) = \frac{F_{104}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{104}\! \left(x \right) = F_{105}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x \right)+F_{108}\! \left(x \right)
F_{106}\! \left(x \right) = F_{107}\! \left(x \right)
F_{107}\! \left(x \right) = F_{0}\! \left(x \right) F_{15}\! \left(x \right) F_{86}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right) F_{15}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right)+F_{114}\! \left(x \right)
F_{111}\! \left(x \right) = \frac{F_{112}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)
F_{113}\! \left(x \right) = -F_{106}\! \left(x \right)+F_{28}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right) F_{15}\! \left(x \right)
F_{116}\! \left(x \right) = \frac{F_{117}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right)+F_{132}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right) F_{129}\! \left(x \right)
F_{120}\! \left(x \right) = -F_{126}\! \left(x \right)+F_{121}\! \left(x \right)
F_{121}\! \left(x \right) = -F_{124}\! \left(x \right)+F_{122}\! \left(x \right)
F_{122}\! \left(x \right) = \frac{F_{123}\! \left(x \right)}{F_{0}\! \left(x \right) F_{15}\! \left(x \right)}
F_{123}\! \left(x \right) = F_{65}\! \left(x \right)
F_{124}\! \left(x \right) = \frac{F_{125}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{125}\! \left(x \right) = F_{60}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right) F_{15}\! \left(x \right)
F_{128}\! \left(x \right) = F_{92}\! \left(x \right)
F_{129}\! \left(x \right) = F_{1}\! \left(x \right)+F_{130}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right)
F_{131}\! \left(x \right) = F_{129}\! \left(x \right) F_{15}\! \left(x \right)
F_{132}\! \left(x \right) = F_{133}\! \left(x \right)
F_{133}\! \left(x \right) = F_{120}\! \left(x \right) F_{134}\! \left(x \right) F_{15}\! \left(x \right)
F_{134}\! \left(x \right) = \frac{F_{135}\! \left(x \right)}{F_{15}\! \left(x \right) F_{160}\! \left(x \right)}
F_{135}\! \left(x \right) = F_{136}\! \left(x \right)
F_{136}\! \left(x \right) = -F_{223}\! \left(x \right)+F_{137}\! \left(x \right)
F_{137}\! \left(x \right) = F_{138}\! \left(x \right)+F_{146}\! \left(x \right)
F_{138}\! \left(x \right) = F_{139}\! \left(x \right) F_{15}\! \left(x \right)
F_{139}\! \left(x \right) = F_{140}\! \left(x \right)+F_{2}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right) F_{15}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right)+F_{144}\! \left(x \right)
F_{143}\! \left(x \right) = F_{129}\! \left(x \right) F_{2}\! \left(x \right)
F_{144}\! \left(x \right) = F_{145}\! \left(x \right)
F_{145}\! \left(x \right) = F_{0}\! \left(x \right) F_{134}\! \left(x \right) F_{15}\! \left(x \right)
F_{146}\! \left(x \right) = -F_{221}\! \left(x \right)+F_{147}\! \left(x \right)
F_{147}\! \left(x \right) = F_{148}\! \left(x \right)
F_{148}\! \left(x \right) = -F_{164}\! \left(x \right)+F_{149}\! \left(x \right)
F_{149}\! \left(x \right) = \frac{F_{150}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{150}\! \left(x \right) = F_{151}\! \left(x \right)
F_{151}\! \left(x \right) = -F_{160}\! \left(x \right)+F_{152}\! \left(x \right)
F_{152}\! \left(x \right) = F_{153}\! \left(x \right)
F_{153}\! \left(x \right) = F_{15}\! \left(x \right) F_{154}\! \left(x \right)
F_{154}\! \left(x \right) = F_{155}\! \left(x \right)+F_{158}\! \left(x \right)
F_{155}\! \left(x \right) = F_{156}\! \left(x \right)+F_{23}\! \left(x \right)
F_{156}\! \left(x \right) = F_{157}\! \left(x \right)
F_{157}\! \left(x \right) = F_{15}\! \left(x \right) F_{23}\! \left(x \right) F_{86}\! \left(x \right)
F_{158}\! \left(x \right) = F_{159}\! \left(x \right)
F_{159}\! \left(x \right) = F_{15}\! \left(x \right) F_{37}\! \left(x \right)
F_{160}\! \left(x \right) = F_{15}\! \left(x \right)+F_{161}\! \left(x \right)
F_{161}\! \left(x \right) = F_{162}\! \left(x \right)
F_{162}\! \left(x \right) = F_{15}\! \left(x \right) F_{163}\! \left(x \right)
F_{163}\! \left(x \right) = F_{2}\! \left(x \right)+F_{59}\! \left(x \right)
F_{164}\! \left(x \right) = \frac{F_{165}\! \left(x \right)}{F_{129}\! \left(x \right)}
F_{165}\! \left(x \right) = -F_{179}\! \left(x \right)+F_{166}\! \left(x \right)
F_{166}\! \left(x \right) = F_{167}\! \left(x \right)+F_{171}\! \left(x \right)
F_{167}\! \left(x \right) = F_{129}\! \left(x \right) F_{168}\! \left(x \right)
F_{168}\! \left(x \right) = \frac{F_{169}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{169}\! \left(x \right) = F_{170}\! \left(x \right)
F_{170}\! \left(x \right) = F_{151}\! \left(x \right)+F_{24}\! \left(x \right)
F_{171}\! \left(x \right) = F_{172}\! \left(x \right) F_{174}\! \left(x \right)
F_{172}\! \left(x \right) = \frac{F_{173}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{173}\! \left(x \right) = F_{24}\! \left(x \right)
F_{174}\! \left(x \right) = F_{15}\! \left(x \right)+F_{175}\! \left(x \right)
F_{175}\! \left(x \right) = F_{176}\! \left(x \right)+F_{177}\! \left(x \right)+F_{178}\! \left(x \right)
F_{176}\! \left(x \right) = 0
F_{177}\! \left(x \right) = F_{15}\! \left(x \right) F_{174}\! \left(x \right)
F_{178}\! \left(x \right) = F_{130}\! \left(x \right) F_{15}\! \left(x \right)
F_{179}\! \left(x \right) = F_{180}\! \left(x \right)+F_{184}\! \left(x \right)
F_{180}\! \left(x \right) = F_{172}\! \left(x \right) F_{181}\! \left(x \right)
F_{181}\! \left(x \right) = F_{182}\! \left(x \right)+F_{183}\! \left(x \right)
F_{182}\! \left(x \right) = F_{1}\! \left(x \right)+F_{15}\! \left(x \right)
F_{183}\! \left(x \right) = F_{130}\! \left(x \right)+F_{175}\! \left(x \right)
F_{184}\! \left(x \right) = F_{185}\! \left(x \right)
F_{185}\! \left(x \right) = -F_{220}\! \left(x \right)+F_{186}\! \left(x \right)
F_{186}\! \left(x \right) = -F_{197}\! \left(x \right)+F_{187}\! \left(x \right)
F_{187}\! \left(x \right) = \frac{F_{188}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{188}\! \left(x \right) = F_{189}\! \left(x \right)
F_{189}\! \left(x \right) = F_{190}\! \left(x \right)+F_{196}\! \left(x \right)
F_{190}\! \left(x \right) = F_{191}\! \left(x \right) F_{24}\! \left(x \right)
F_{191}\! \left(x \right) = F_{1}\! \left(x \right)+F_{192}\! \left(x \right)
F_{192}\! \left(x \right) = F_{193}\! \left(x \right)
F_{193}\! \left(x \right) = F_{15}\! \left(x \right) F_{194}\! \left(x \right)
F_{194}\! \left(x \right) = F_{191}\! \left(x \right)+F_{195}\! \left(x \right)
F_{195}\! \left(x \right) = F_{130}\! \left(x \right)
F_{196}\! \left(x \right) = F_{129}\! \left(x \right) F_{151}\! \left(x \right)
F_{197}\! \left(x \right) = -F_{217}\! \left(x \right)+F_{198}\! \left(x \right)
F_{198}\! \left(x \right) = \frac{F_{199}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{199}\! \left(x \right) = F_{200}\! \left(x \right)
F_{200}\! \left(x \right) = -F_{208}\! \left(x \right)+F_{201}\! \left(x \right)
F_{201}\! \left(x \right) = \frac{F_{202}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{202}\! \left(x \right) = F_{203}\! \left(x \right)
F_{203}\! \left(x \right) = F_{15}\! \left(x \right) F_{204}\! \left(x \right)
F_{204}\! \left(x \right) = F_{205}\! \left(x \right)+F_{207}\! \left(x \right)
F_{205}\! \left(x \right) = F_{206}\! \left(x \right)
F_{206}\! \left(x \right) = F_{130}\! \left(x \right) F_{154}\! \left(x \right)
F_{207}\! \left(x \right) = F_{192}\! \left(x \right) F_{26}\! \left(x \right)
F_{208}\! \left(x \right) = F_{130}\! \left(x \right) F_{209}\! \left(x \right)
F_{209}\! \left(x \right) = F_{210}\! \left(x \right)+F_{211}\! \left(x \right)
F_{210}\! \left(x \right) = F_{0}\! \left(x \right) F_{129}\! \left(x \right)
F_{211}\! \left(x \right) = F_{212}\! \left(x \right)
F_{212}\! \left(x \right) = F_{0}\! \left(x \right) F_{15}\! \left(x \right) F_{213}\! \left(x \right)
F_{213}\! \left(x \right) = \frac{F_{214}\! \left(x \right)}{F_{15}\! \left(x \right) F_{23}\! \left(x \right)}
F_{214}\! \left(x \right) = F_{215}\! \left(x \right)
F_{215}\! \left(x \right) = -F_{216}\! \left(x \right)+F_{154}\! \left(x \right)
F_{216}\! \left(x \right) = F_{129}\! \left(x \right) F_{23}\! \left(x \right)
F_{217}\! \left(x \right) = F_{181}\! \left(x \right) F_{218}\! \left(x \right)
F_{218}\! \left(x \right) = \frac{F_{219}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{219}\! \left(x \right) = F_{24}\! \left(x \right)
F_{220}\! \left(x \right) = F_{191}\! \left(x \right) F_{218}\! \left(x \right)
F_{221}\! \left(x \right) = F_{15}\! \left(x \right) F_{222}\! \left(x \right)
F_{222}\! \left(x \right) = F_{129}\! \left(x \right)+F_{139}\! \left(x \right)
F_{223}\! \left(x \right) = F_{129}\! \left(x \right) F_{161}\! \left(x \right)
F_{224}\! \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_{237}\! \left(x \right)
F_{227}\! \left(x \right) = F_{228}\! \left(x \right)+F_{234}\! \left(x \right)
F_{228}\! \left(x \right) = F_{154}\! \left(x \right) F_{229}\! \left(x \right)
F_{229}\! \left(x \right) = F_{230}\! \left(x \right)
F_{230}\! \left(x \right) = F_{15}\! \left(x \right) F_{231}\! \left(x \right)
F_{231}\! \left(x \right) = F_{232}\! \left(x \right)+F_{233}\! \left(x \right)
F_{232}\! \left(x \right) = F_{2}\! \left(x \right) F_{71}\! \left(x \right)
F_{233}\! \left(x \right) = F_{66}\! \left(x \right)+F_{75}\! \left(x \right)
F_{234}\! \left(x \right) = F_{121}\! \left(x \right) F_{235}\! \left(x \right)
F_{235}\! \left(x \right) = F_{236}\! \left(x \right)
F_{236}\! \left(x \right) = F_{0}\! \left(x \right) F_{15}\! \left(x \right) F_{22}\! \left(x \right)
F_{237}\! \left(x \right) = F_{238}\! \left(x \right)
F_{238}\! \left(x \right) = F_{121}\! \left(x \right) F_{70}\! \left(x \right)
F_{239}\! \left(x \right) = F_{0} \left(x \right)^{2}
F_{240}\! \left(x \right) = F_{241}\! \left(x \right)
F_{241}\! \left(x \right) = F_{0}\! \left(x \right) F_{15}\! \left(x \right) F_{81}\! \left(x \right)
F_{242}\! \left(x \right) = F_{243}\! \left(x \right)
F_{243}\! \left(x \right) = F_{15}\! \left(x \right) F_{244}\! \left(x \right)
F_{244}\! \left(x \right) = F_{245}\! \left(x \right)+F_{246}\! \left(x \right)
F_{245}\! \left(x \right) = F_{79}\! \left(x \right)+F_{80}\! \left(x \right)
F_{246}\! \left(x \right) = F_{247}\! \left(x \right) F_{71}\! \left(x \right)
F_{247}\! \left(x \right) = F_{248}\! \left(x \right)
F_{248}\! \left(x \right) = F_{15}\! \left(x \right) F_{81}\! \left(x \right)
F_{249}\! \left(x \right) = F_{250}\! \left(x \right)+F_{70}\! \left(x \right)
F_{250}\! \left(x \right) = F_{251}\! \left(x \right)
F_{251}\! \left(x \right) = F_{15}\! \left(x \right) F_{2}\! \left(x \right) F_{68}\! \left(x \right)
F_{252}\! \left(x \right) = F_{253}\! \left(x \right)
F_{253}\! \left(x \right) = F_{15}\! \left(x \right) F_{19}\! \left(x \right) F_{254}\! \left(x \right)
F_{254}\! \left(x \right) = F_{0}\! \left(x \right)+F_{255}\! \left(x \right)
F_{255}\! \left(x \right) = F_{256}\! \left(x \right)
F_{256}\! \left(x \right) = F_{0}\! \left(x \right) F_{15}\! \left(x \right) F_{254}\! \left(x \right)
F_{257}\! \left(x \right) = F_{258}\! \left(x \right)
F_{258}\! \left(x \right) = F_{15}\! \left(x \right) F_{259}\! \left(x \right)
F_{259}\! \left(x \right) = F_{260}\! \left(x \right)+F_{276}\! \left(x \right)
F_{260}\! \left(x \right) = -F_{261}\! \left(x \right)+F_{13}\! \left(x \right)
F_{261}\! \left(x \right) = F_{262}\! \left(x \right)
F_{262}\! \left(x \right) = F_{15}\! \left(x \right) F_{263}\! \left(x \right)
F_{263}\! \left(x \right) = F_{264}\! \left(x \right)+F_{274}\! \left(x \right)
F_{264}\! \left(x \right) = F_{12}\! \left(x \right)+F_{265}\! \left(x \right)
F_{265}\! \left(x \right) = F_{266}\! \left(x \right)
F_{266}\! \left(x \right) = F_{15}\! \left(x \right) F_{267}\! \left(x \right)
F_{267}\! \left(x \right) = F_{268}\! \left(x \right)+F_{272}\! \left(x \right)
F_{268}\! \left(x \right) = F_{269}\! \left(x \right)+F_{270}\! \left(x \right)
F_{269}\! \left(x \right) = F_{12}\! \left(x \right) F_{23}\! \left(x \right)
F_{270}\! \left(x \right) = F_{271}\! \left(x \right)
F_{271}\! \left(x \right) = F_{152}\! \left(x \right) F_{18}\! \left(x \right)
F_{272}\! \left(x \right) = F_{273}\! \left(x \right)
F_{273}\! \left(x \right) = F_{152}\! \left(x \right) F_{259}\! \left(x \right)
F_{274}\! \left(x \right) = F_{275}\! \left(x \right)
F_{275}\! \left(x \right) = F_{0}\! \left(x \right) F_{15}\! \left(x \right) F_{259}\! \left(x \right)
F_{276}\! \left(x \right) = F_{277}\! \left(x \right)
F_{277}\! \left(x \right) = F_{15}\! \left(x \right) F_{254}\! \left(x \right) F_{260}\! \left(x \right)
F_{278}\! \left(x \right) = F_{279}\! \left(x \right)
F_{279}\! \left(x \right) = F_{15}\! \left(x \right) F_{280}\! \left(x \right)
F_{280}\! \left(x \right) = F_{281}\! \left(x \right)+F_{282}\! \left(x \right)
F_{281}\! \left(x \right) = F_{23}\! \left(x \right) F_{8}\! \left(x \right)
F_{282}\! \left(x \right) = F_{283}\! \left(x \right)
F_{283}\! \left(x \right) = F_{15}\! \left(x \right) F_{284}\! \left(x \right)
F_{284}\! \left(x \right) = F_{285}\! \left(x \right)+F_{289}\! \left(x \right)
F_{285}\! \left(x \right) = F_{286}\! \left(x \right)+F_{287}\! \left(x \right)
F_{286}\! \left(x \right) = F_{11}\! \left(x \right) F_{154}\! \left(x \right)
F_{287}\! \left(x \right) = F_{288}\! \left(x \right)
F_{288}\! \left(x \right) = F_{121}\! \left(x \right) F_{18}\! \left(x \right)
F_{289}\! \left(x \right) = F_{290}\! \left(x \right)
F_{290}\! \left(x \right) = F_{121}\! \left(x \right) F_{259}\! \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_15(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_6(x))
Eq(F_6(x), F_15(x)*F_7(x))
Eq(F_7(x), F_278(x) + F_8(x))
Eq(F_8(x), F_4(x) + F_9(x))
Eq(F_9(x), F_10(x))
Eq(F_10(x), F_11(x)*F_15(x))
Eq(F_11(x), F_12(x) + F_257(x))
Eq(F_12(x), F_13(x) + F_16(x))
Eq(F_13(x), F_14(x)/F_15(x))
Eq(F_14(x), F_5(x))
Eq(F_15(x), x)
Eq(F_16(x), F_17(x))
Eq(F_17(x), F_15(x)*F_18(x))
Eq(F_18(x), F_19(x) + F_252(x))
Eq(F_19(x), F_20(x) + F_4(x))
Eq(F_20(x), F_21(x))
Eq(F_21(x), F_15(x)*F_22(x)*F_4(x))
Eq(F_22(x), F_152(x) + F_23(x))
Eq(F_23(x), F_0(x) + F_24(x))
Eq(F_24(x), F_25(x))
Eq(F_25(x), F_15(x)*F_26(x))
Eq(F_26(x), F_27(x) + F_95(x))
Eq(F_27(x), F_23(x) + F_28(x))
Eq(F_28(x), F_29(x))
Eq(F_29(x), F_15(x)*F_30(x))
Eq(F_30(x), F_31(x) + F_34(x))
Eq(F_31(x), F_23(x)*F_32(x))
Eq(F_32(x), F_33(x)/F_15(x))
Eq(F_33(x), F_2(x))
Eq(F_34(x), F_35(x))
Eq(F_35(x), F_15(x)*F_23(x)*F_36(x))
Eq(F_36(x), F_128(x) + F_37(x))
Eq(F_37(x), F_38(x)/F_15(x))
Eq(F_38(x), F_39(x))
Eq(F_39(x), F_40(x))
Eq(F_40(x), F_15(x)*F_41(x))
Eq(F_41(x), F_42(x)/(F_0(x)*F_15(x)))
Eq(F_42(x), F_43(x))
Eq(F_43(x), F_44(x) - F_52(x))
Eq(F_44(x), F_45(x)/F_15(x))
Eq(F_45(x), F_46(x))
Eq(F_46(x), F_47(x) - F_51(x))
Eq(F_47(x), F_48(x)/F_15(x))
Eq(F_48(x), F_49(x))
Eq(F_49(x), -F_2(x) + F_50(x))
Eq(F_50(x), -F_0(x) + F_32(x))
Eq(F_51(x), F_2(x)*F_32(x))
Eq(F_52(x), F_53(x)/F_15(x))
Eq(F_53(x), F_54(x))
Eq(F_54(x), F_55(x) - F_57(x))
Eq(F_55(x), F_56(x)/F_15(x))
Eq(F_56(x), F_50(x))
Eq(F_57(x), F_249(x) + F_58(x))
Eq(F_58(x), F_0(x) + F_59(x))
Eq(F_59(x), -F_247(x) + F_60(x))
Eq(F_60(x), F_61(x) - F_63(x))
Eq(F_61(x), F_62(x)/F_15(x))
Eq(F_62(x), F_49(x))
Eq(F_63(x), F_242(x) + F_64(x))
Eq(F_64(x), F_61(x) - F_65(x))
Eq(F_65(x), F_240(x) + F_66(x))
Eq(F_66(x), -F_239(x) + F_67(x))
Eq(F_67(x), F_68(x) - F_73(x))
Eq(F_68(x), F_69(x)/F_15(x))
Eq(F_69(x), F_70(x))
Eq(F_70(x), -F_0(x) + F_71(x))
Eq(F_71(x), F_72(x)/F_15(x))
Eq(F_72(x), F_2(x))
Eq(F_73(x), F_74(x) + F_75(x))
Eq(F_74(x), F_0(x)*F_70(x))
Eq(F_75(x), F_224(x) + F_76(x))
Eq(F_76(x), F_77(x))
Eq(F_77(x), F_15(x)*F_78(x))
Eq(F_78(x), F_79(x) + F_80(x))
Eq(F_79(x), F_59(x)*F_71(x))
Eq(F_80(x), F_0(x)*F_81(x))
Eq(F_81(x), F_59(x) + F_82(x))
Eq(F_82(x), F_83(x))
Eq(F_83(x), F_15(x)*F_84(x))
Eq(F_84(x), F_85(x) + F_87(x))
Eq(F_85(x), F_59(x)*F_86(x))
Eq(F_86(x), F_32(x) + F_39(x))
Eq(F_87(x), F_0(x)*F_88(x))
Eq(F_88(x), F_89(x))
Eq(F_89(x), F_15(x)*F_90(x))
Eq(F_90(x), F_91(x)/F_15(x))
Eq(F_91(x), F_92(x))
Eq(F_92(x), F_93(x) - F_98(x))
Eq(F_93(x), F_94(x)/F_15(x))
Eq(F_94(x), F_95(x))
Eq(F_95(x), -F_28(x) + F_96(x))
Eq(F_96(x), F_97(x)/F_15(x))
Eq(F_97(x), F_49(x))
Eq(F_98(x), F_99(x)/F_15(x))
Eq(F_99(x), F_100(x))
Eq(F_100(x), -F_101(x) + F_47(x))
Eq(F_101(x), F_102(x))
Eq(F_102(x), F_103(x)*F_15(x))
Eq(F_103(x), F_104(x)/F_15(x))
Eq(F_104(x), F_105(x))
Eq(F_105(x), F_106(x) + F_108(x))
Eq(F_106(x), F_107(x))
Eq(F_107(x), F_0(x)*F_15(x)*F_86(x))
Eq(F_108(x), F_109(x))
Eq(F_109(x), F_110(x)*F_15(x))
Eq(F_110(x), F_111(x) + F_114(x))
Eq(F_111(x), F_112(x)/F_15(x))
Eq(F_112(x), F_113(x))
Eq(F_113(x), -F_106(x) + F_28(x))
Eq(F_114(x), F_115(x))
Eq(F_115(x), F_116(x)*F_15(x))
Eq(F_116(x), F_117(x)/F_15(x))
Eq(F_117(x), F_118(x))
Eq(F_118(x), F_119(x) + F_132(x))
Eq(F_119(x), F_120(x)*F_129(x))
Eq(F_120(x), F_121(x) - F_126(x))
Eq(F_121(x), F_122(x) - F_124(x))
Eq(F_122(x), F_123(x)/(F_0(x)*F_15(x)))
Eq(F_123(x), F_65(x))
Eq(F_124(x), F_125(x)/F_15(x))
Eq(F_125(x), F_60(x))
Eq(F_126(x), F_127(x))
Eq(F_127(x), F_128(x)*F_15(x))
Eq(F_128(x), F_92(x))
Eq(F_129(x), F_1(x) + F_130(x))
Eq(F_130(x), F_131(x))
Eq(F_131(x), F_129(x)*F_15(x))
Eq(F_132(x), F_133(x))
Eq(F_133(x), F_120(x)*F_134(x)*F_15(x))
Eq(F_134(x), F_135(x)/(F_15(x)*F_160(x)))
Eq(F_135(x), F_136(x))
Eq(F_136(x), F_137(x) - F_223(x))
Eq(F_137(x), F_138(x) + F_146(x))
Eq(F_138(x), F_139(x)*F_15(x))
Eq(F_139(x), F_140(x) + F_2(x))
Eq(F_140(x), F_141(x))
Eq(F_141(x), F_142(x)*F_15(x))
Eq(F_142(x), F_143(x) + F_144(x))
Eq(F_143(x), F_129(x)*F_2(x))
Eq(F_144(x), F_145(x))
Eq(F_145(x), F_0(x)*F_134(x)*F_15(x))
Eq(F_146(x), F_147(x) - F_221(x))
Eq(F_147(x), F_148(x))
Eq(F_148(x), F_149(x) - F_164(x))
Eq(F_149(x), F_150(x)/F_15(x))
Eq(F_150(x), F_151(x))
Eq(F_151(x), F_152(x) - F_160(x))
Eq(F_152(x), F_153(x))
Eq(F_153(x), F_15(x)*F_154(x))
Eq(F_154(x), F_155(x) + F_158(x))
Eq(F_155(x), F_156(x) + F_23(x))
Eq(F_156(x), F_157(x))
Eq(F_157(x), F_15(x)*F_23(x)*F_86(x))
Eq(F_158(x), F_159(x))
Eq(F_159(x), F_15(x)*F_37(x))
Eq(F_160(x), F_15(x) + F_161(x))
Eq(F_161(x), F_162(x))
Eq(F_162(x), F_15(x)*F_163(x))
Eq(F_163(x), F_2(x) + F_59(x))
Eq(F_164(x), F_165(x)/F_129(x))
Eq(F_165(x), F_166(x) - F_179(x))
Eq(F_166(x), F_167(x) + F_171(x))
Eq(F_167(x), F_129(x)*F_168(x))
Eq(F_168(x), F_169(x)/F_15(x))
Eq(F_169(x), F_170(x))
Eq(F_170(x), F_151(x) + F_24(x))
Eq(F_171(x), F_172(x)*F_174(x))
Eq(F_172(x), F_173(x)/F_15(x))
Eq(F_173(x), F_24(x))
Eq(F_174(x), F_15(x) + F_175(x))
Eq(F_175(x), F_176(x) + F_177(x) + F_178(x))
Eq(F_176(x), 0)
Eq(F_177(x), F_15(x)*F_174(x))
Eq(F_178(x), F_130(x)*F_15(x))
Eq(F_179(x), F_180(x) + F_184(x))
Eq(F_180(x), F_172(x)*F_181(x))
Eq(F_181(x), F_182(x) + F_183(x))
Eq(F_182(x), F_1(x) + F_15(x))
Eq(F_183(x), F_130(x) + F_175(x))
Eq(F_184(x), F_185(x))
Eq(F_185(x), F_186(x) - F_220(x))
Eq(F_186(x), F_187(x) - F_197(x))
Eq(F_187(x), F_188(x)/F_15(x))
Eq(F_188(x), F_189(x))
Eq(F_189(x), F_190(x) + F_196(x))
Eq(F_190(x), F_191(x)*F_24(x))
Eq(F_191(x), F_1(x) + F_192(x))
Eq(F_192(x), F_193(x))
Eq(F_193(x), F_15(x)*F_194(x))
Eq(F_194(x), F_191(x) + F_195(x))
Eq(F_195(x), F_130(x))
Eq(F_196(x), F_129(x)*F_151(x))
Eq(F_197(x), F_198(x) - F_217(x))
Eq(F_198(x), F_199(x)/F_15(x))
Eq(F_199(x), F_200(x))
Eq(F_200(x), F_201(x) - F_208(x))
Eq(F_201(x), F_202(x)/F_15(x))
Eq(F_202(x), F_203(x))
Eq(F_203(x), F_15(x)*F_204(x))
Eq(F_204(x), F_205(x) + F_207(x))
Eq(F_205(x), F_206(x))
Eq(F_206(x), F_130(x)*F_154(x))
Eq(F_207(x), F_192(x)*F_26(x))
Eq(F_208(x), F_130(x)*F_209(x))
Eq(F_209(x), F_210(x) + F_211(x))
Eq(F_210(x), F_0(x)*F_129(x))
Eq(F_211(x), F_212(x))
Eq(F_212(x), F_0(x)*F_15(x)*F_213(x))
Eq(F_213(x), F_214(x)/(F_15(x)*F_23(x)))
Eq(F_214(x), F_215(x))
Eq(F_215(x), F_154(x) - F_216(x))
Eq(F_216(x), F_129(x)*F_23(x))
Eq(F_217(x), F_181(x)*F_218(x))
Eq(F_218(x), F_219(x)/F_15(x))
Eq(F_219(x), F_24(x))
Eq(F_220(x), F_191(x)*F_218(x))
Eq(F_221(x), F_15(x)*F_222(x))
Eq(F_222(x), F_129(x) + F_139(x))
Eq(F_223(x), F_129(x)*F_161(x))
Eq(F_224(x), F_225(x))
Eq(F_225(x), F_15(x)*F_226(x))
Eq(F_226(x), F_227(x) + F_237(x))
Eq(F_227(x), F_228(x) + F_234(x))
Eq(F_228(x), F_154(x)*F_229(x))
Eq(F_229(x), F_230(x))
Eq(F_230(x), F_15(x)*F_231(x))
Eq(F_231(x), F_232(x) + F_233(x))
Eq(F_232(x), F_2(x)*F_71(x))
Eq(F_233(x), F_66(x) + F_75(x))
Eq(F_234(x), F_121(x)*F_235(x))
Eq(F_235(x), F_236(x))
Eq(F_236(x), F_0(x)*F_15(x)*F_22(x))
Eq(F_237(x), F_238(x))
Eq(F_238(x), F_121(x)*F_70(x))
Eq(F_239(x), F_0(x)**2)
Eq(F_240(x), F_241(x))
Eq(F_241(x), F_0(x)*F_15(x)*F_81(x))
Eq(F_242(x), F_243(x))
Eq(F_243(x), F_15(x)*F_244(x))
Eq(F_244(x), F_245(x) + F_246(x))
Eq(F_245(x), F_79(x) + F_80(x))
Eq(F_246(x), F_247(x)*F_71(x))
Eq(F_247(x), F_248(x))
Eq(F_248(x), F_15(x)*F_81(x))
Eq(F_249(x), F_250(x) + F_70(x))
Eq(F_250(x), F_251(x))
Eq(F_251(x), F_15(x)*F_2(x)*F_68(x))
Eq(F_252(x), F_253(x))
Eq(F_253(x), F_15(x)*F_19(x)*F_254(x))
Eq(F_254(x), F_0(x) + F_255(x))
Eq(F_255(x), F_256(x))
Eq(F_256(x), F_0(x)*F_15(x)*F_254(x))
Eq(F_257(x), F_258(x))
Eq(F_258(x), F_15(x)*F_259(x))
Eq(F_259(x), F_260(x) + F_276(x))
Eq(F_260(x), F_13(x) - F_261(x))
Eq(F_261(x), F_262(x))
Eq(F_262(x), F_15(x)*F_263(x))
Eq(F_263(x), F_264(x) + F_274(x))
Eq(F_264(x), F_12(x) + F_265(x))
Eq(F_265(x), F_266(x))
Eq(F_266(x), F_15(x)*F_267(x))
Eq(F_267(x), F_268(x) + F_272(x))
Eq(F_268(x), F_269(x) + F_270(x))
Eq(F_269(x), F_12(x)*F_23(x))
Eq(F_270(x), F_271(x))
Eq(F_271(x), F_152(x)*F_18(x))
Eq(F_272(x), F_273(x))
Eq(F_273(x), F_152(x)*F_259(x))
Eq(F_274(x), F_275(x))
Eq(F_275(x), F_0(x)*F_15(x)*F_259(x))
Eq(F_276(x), F_277(x))
Eq(F_277(x), F_15(x)*F_254(x)*F_260(x))
Eq(F_278(x), F_279(x))
Eq(F_279(x), F_15(x)*F_280(x))
Eq(F_280(x), F_281(x) + F_282(x))
Eq(F_281(x), F_23(x)*F_8(x))
Eq(F_282(x), F_283(x))
Eq(F_283(x), F_15(x)*F_284(x))
Eq(F_284(x), F_285(x) + F_289(x))
Eq(F_285(x), F_286(x) + F_287(x))
Eq(F_286(x), F_11(x)*F_154(x))
Eq(F_287(x), F_288(x))
Eq(F_288(x), F_121(x)*F_18(x))
Eq(F_289(x), F_290(x))
Eq(F_290(x), F_121(x)*F_259(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, 3, 4, 1], [0, 2, 4, 1, 3], [0, 2, 4, 3, 1], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1], [0, 4, 2, 1, 3], [0, 4, 2, 3, 1], [0, 4, 3, 2, 1], [3, 0, 2, 4, 1], [3, 0, 4, 2, 1]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 2, 4, 1, 3], [0, 2, 4, 3, 1], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1], [0, 4, 2, 1, 3], [0, 4, 2, 3, 1], [0, 4, 3, 2, 1], [3, 0, 2, 4, 1], [3, 0, 4, 2, 1]], "symmetry": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.factor", "strategy_class": "FactorStrategy", "ignore_parent": true, "workable": true, "partition": [[[0, 0], [0, 2]], [[1, 1]]]}}, "idx": 0}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 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