02413_02431_04213_04231_04321_20413_20431

Counting sequence:
1, 1, 2, 6, 24, 113, 580, 3135, 17574, 101328, 597530, 3588409, 21873654, 134993745, 841834258, 5296570762, 33580730028, 214331723413, 1376050874888, 8880640683475, 57580112794566, 374897792401784, 2450130035119502, 16067541744133321, 105696865568773034, 697288027510466065, 4612101131893556690, 30579675419155974198, 203205444324643839392, 1353118432761393355993, 9027578364497044912476, 60337191656874456003535, 403948715293159877598662, 2708622526316017679981744, 18189045954398904002834962, 122312924665155667222690177, 823570749826038111089314622, 5552181949649519998744615761, 37474114860594880255222802050, 253207778261915658334755501642, 1712678377742135454779531536340, 11595907334988437652055208460525, 78585522246747337240357595699200, 533051920017652752521187228027123, 3618822723523716977088180065650566, 24587754383214120330689437953706664, 167189218514148065694686319034704166, 1137681371824916026778518740332168001, 7747152360857139335547619557044869074, 52790963685777376184105471072603157153, 359965520700963497899376931129473256354, 2456035038154862423972105186139199101542, 16767555597716716094616272558104191152616, 114539775018957895893387951902366115049633, 782861044912984694585797987263327338853300, 5353598260651745494273217458693022633329087, 36629505877167331317160995086878636230404710, 250745092008833804670393967817644448361389392, 1717284549289495895633652827935781378241949706, 11766661667079488903278336543520865902013640329, 80660064700843032275705608359504739995413881286, 553161090080498763973635000413088837144421606897, 3795126229046929702865281770467770973504423049778, 26048124591455647342598623388703092015012243054506, 178853194819196127513223571125502160474348391407740, 1228518187127459349996738216188868943230393066388165, 8441624175570937357455684598174021145930539572187512, 58026328826887609301232223905606628053297125916085651, 399001178190482897235403615923772275403010847028557958, 2744535254821449104586393107195221976408691585441315128, 18884467695784749451672857980194377148587665493412724478, 129980411939024190688968639615926147100203673475845919513, 894920384596318637789155328857478052024984690106528803066, 6163401914138978472096417724702954163437145442730712528497, 42460254702243639784572954705527117579119268421780535050738, 292595259877398165003561150013045707148328383739393346924118, 2016839172878641219952241199417448445001063314548995825362544, 13905652658968260925144035779633500010235686642544559441182985, 95901317708909822026255644590992423904335193166808787720751564, 661558019747236847562683967916774563487801272568584796659120079, 4564767471536296954892211011791197840089723074957601442719017734, 31504604642798863814298900804506173166063135647737388058689216624, 217486076709047333641075617308197073374326005377911480206093896834, 1501718143298319033513320054297167556508667392558503421161010563601, 10371522761654841055104303476882112531625251431729100325465945564430, 71645912972768988580743321138105193253329796017404599112379674464881, 495031541039346869818575233487912479787102873382803131702598600796834, 3421091634706953509474635484587919233900278181704600254754983420085098, 23647478396775318664674811259833472975497297783900964506577026995325220, 163490018120782201161321008715833483540188237329385971091431477641385693, 1130529681849435689517272881858565133466768198542770553921586497338301168, 7819070570153029028082303172795171841766410021854907780149508636019535219, 54088994665892319698316642324231386732942011345227246153542998931068822598, 374232529652030431943872102903161995000643145608243964221143718196923225192, 2589711014066950335673987757335210883285796290390120974497891837269591354262, 17924067202335587585937288569696701218864879110941877852571633176678235947025, 124078265876007941064586013658428563542456927563476138312711945643709024338850, 859067342689363336108956181162966143086647079190882691709696676157740634233409, 5948802444761874352909516348147277507479603572858865685876125149923907557247298, 41200384701295792031094928215149151271846048079819584453999299044811713209013190, 285391460128434786361533510183123283448365717242898025544963603554863646964309176

Implicit equation for the generating function in Maple syntax:
2*x*(x^2+x-1)*(4*x^3-9*x^2+5*x-1)*F(x)^6+(12*x^6-64*x^5+177*x^4-200*x^3+99*x^2-22*x+1)*F(x)^5+(4*x^6+36*x^5-219*x^4+361*x^3-231*x^2+71*x-5)*F(x)^4+(32*x^5+12*x^4-204*x^3+202*x^2-104*x+10)*F(x)^3+(2*x^5+24*x^4+20*x^3-30*x^2+76*x-10)*F(x)^2+(23*x^4-28*x^3-45*x^2-26*x+5)*F(x)-x^4+25*x^3+17*x^2+3*x-1 = 0

Implicit equation for the generating function in latex syntax:
2 x \left(x^{2}+x -1\right) \left(4 x^{3}-9 x^{2}+5 x -1\right) F \! \left(x \right)^{6}+\left(12 x^{6}-64 x^{5}+177 x^{4}-200 x^{3}+99 x^{2}-22 x +1\right) F \! \left(x \right)^{5}+\left(4 x^{6}+36 x^{5}-219 x^{4}+361 x^{3}-231 x^{2}+71 x -5\right) F \! \left(x \right)^{4}+\left(32 x^{5}+12 x^{4}-204 x^{3}+202 x^{2}-104 x +10\right) F \! \left(x \right)^{3}+\left(2 x^{5}+24 x^{4}+20 x^{3}-30 x^{2}+76 x -10\right) F \! \left(x \right)^{2}+\left(23 x^{4}-28 x^{3}-45 x^{2}-26 x +5\right) F \! \left(x \right)-x^{4}+25 x^{3}+17 x^{2}+3 x -1 = 0

Recurrence in maple format:
a(0) = 1
a(1) = 1
a(2) = 2
a(3) = 6
a(4) = 24
a(5) = 113
a(6) = 580
a(7) = 3135
a(8) = 17574
a(9) = 101328
a(10) = 597530
a(11) = 3588409
a(12) = 21873654
a(13) = 134993745
a(14) = 841834258
a(15) = 5296570762
a(16) = 33580730028
a(17) = 214331723413
a(18) = 1376050874888
a(19) = 8880640683475
a(20) = 57580112794566
a(21) = 374897792401784
a(22) = 2450130035119502
a(23) = 16067541744133321
a(24) = 105696865568773034
a(25) = 697288027510466065
a(26) = 4612101131893556690
a(27) = 30579675419155974198
a(28) = 203205444324643839392
a(29) = 1353118432761393355993
a(30) = 9027578364497044912476
a(31) = 60337191656874456003535
a(32) = 403948715293159877598662
a(33) = 2708622526316017679981744
a(34) = 18189045954398904002834962
a(35) = 122312924665155667222690177
a(36) = 823570749826038111089314622
a(37) = 5552181949649519998744615761
a(38) = 37474114860594880255222802050
a(39) = 253207778261915658334755501642
a(40) = 1712678377742135454779531536340
a(41) = 11595907334988437652055208460525
a(42) = 78585522246747337240357595699200
a(43) = 533051920017652752521187228027123
a(44) = 3618822723523716977088180065650566
a(45) = 24587754383214120330689437953706664
a(46) = 167189218514148065694686319034704166
a(47) = 1137681371824916026778518740332168001
a(48) = 7747152360857139335547619557044869074
a(49) = 52790963685777376184105471072603157153
a(50) = 359965520700963497899376931129473256354
a(51) = 2456035038154862423972105186139199101542
a(52) = 16767555597716716094616272558104191152616
a(n+53) = 1662605625/68*n*(2*n+3)*(2*n+1)*(n+2)*(n+1)/(2*n+99)/(n+54)/(n+52)/(n+51)/(2*n+101)*a(n)+1/135*(17206*n^3+2623523*n^2+133283645*n+2256132040)/(n+54)/(2*n+101)/(n+52)*a(n+52)-1/5140800*(4053002766232324*n^5+975278508515649190*n^4+93425612985814725260*n^3+4455831582214396396165*n^2+105854075025229690974031*n+1002424931033180778863310)/(2*n+99)/(n+54)/(n+52)/(n+51)/(2*n+101)*a(n+46)+1/15422400*(2583528817963702*n^5+589560725672198840*n^4+53774245025486270420*n^3+2450441667289870736995*n^2+55785458223275421410463*n+507545489750764788173160)/(2*n+99)/(n+54)/(n+52)/(n+51)/(2*n+101)*a(n+47)-1/7711200*(70341969077206*n^5+15716977476876140*n^4+1399483052083173455*n^3+62045544744315326350*n^2+1368808815467856857964*n+12012677703936216467055)/(2*n+99)/(n+54)/(n+52)/(n+51)/(2*n+101)*a(n+48)-1/183600*(65080200952*n^5+17141035544180*n^4+1792801266902460*n^3+93177289163872900*n^2+2408461612564283783*n+24786107104462412070)/(2*n+99)/(n+54)/(n+52)/(n+51)/(2*n+101)*a(n+49)+1/91800*(8533767488*n^5+2115649306180*n^4+209763503766065*n^3+10397052813237260*n^2+257623443593159702*n+2552972246631728085)/(2*n+99)/(n+54)/(n+52)/(n+51)/(2*n+101)*a(n+50)-1/15300*(105319378*n^5+26284162820*n^4+2623584972455*n^3+130924904520400*n^2+3266453863479792*n+32594841428548800)/(2*n+99)/(n+54)/(n+52)/(n+51)/(2*n+101)*a(n+51)+1/493516800*(23646687607136689778584*n^5+4812194728265684969890340*n^4+391503291590295778286092445*n^3+15916438047479321829009545920*n^2+323342185659727816615321973106*n+2625798718250650828979758709145)/(2*n+99)/(n+54)/(n+52)/(n+51)/(2*n+101)*a(n+42)-1/246758400*(1275741933713329962566*n^5+263360646287514323353780*n^4+21727624234611991391866525*n^3+895437354913397020521288890*n^2+18432984071664118269360041514*n+151620072825480116077864420200)/(2*n+99)/(n+54)/(n+52)/(n+51)/(2*n+101)*a(n+43)+1/20563200*(8211457790992487337*n^5+1710242204213484251890*n^4+142237110647044974017370*n^3+5903875314121663890080810*n^2+122282127668410032032542278*n+1010887845588427688027836185)/(2*n+99)/(n+54)/(n+52)/(n+51)/(2*n+101)*a(n+44)-1/61689600*(965142544188287332*n^5+196838643179098982240*n^4+15946072104167889434555*n^3+640582751744219514549085*n^2+12739254367629593750087418*n+100106726358936588627471120)/(2*n+99)/(n+54)/(n+52)/(n+51)/(2*n+101)*a(n+45)-1/3948134400*(38756237620148130673632182*n^5+7486662977995995374150225800*n^4+578322464343972093250532618410*n^3+22330271779514567807115525912665*n^2+430979784539011255398487308180213*n+3326175847696536017245531704076560)/(2*n+99)/(n+54)/(n+52)/(n+51)/(2*n+101)*a(n+39)+1/1974067200*(4026330228951280834656358*n^5+791921235481060416172796900*n^4+62285477288028293431153433945*n^3+2448663896983176971973283435690*n^2+48117614509252443751033601805612*n+378090745207308941022865509927165)/(2*n+99)/(n+54)/(n+52)/(n+51)/(2*n+101)*a(n+40)-1/987033600*(342861693637449187332112*n^5+68633001678646780860841340*n^4+5493414702000295056456209510*n^3+219760862530574037450265855690*n^2+4393892837119380576368540503623*n+35125425664918581787609743797670)/(2*n+99)/(n+54)/(n+52)/(n+51)/(2*n+101)*a(n+41)-1/2632089600*(314019464321076849327678648*n^5+58739767740414506860826438310*n^4+4391730409094643099491978907795*n^3+164054546449074422373699570752980*n^2+3061965555842262295289364848780177*n+22843941124786256248821839917070910)/(2*n+99)/(n+54)/(n+52)/(n+51)/(2*n+101)*a(n+37)+1/1316044800*(50685681161171525547339604*n^5+9621332494173151700829465170*n^4+730255594979952310513425881125*n^3+27702215565893539955360938231755*n^2+525235361264659461785046480255671*n+3981831052898029872366412427793075)/(2*n+99)/(n+54)/(n+52)/(n+51)/(2*n+101)*a(n+38)+1/10528358400*(95069627098756523420018041913*n^5+15028262682456359412446912167980*n^4+948982962114467691718847135109375*n^3+29920049361066961987850069301897140*n^2+470952852587825177372974285761906032*n+2960366534628513389587805151552367560)/(2*n+99)/(n+54)/(n+52)/(n+51)/(2*n+101)*a(n+33)-1/15792537600*(22763156941237116438226290283*n^5+3483090295229830516078894620860*n^4+211054150167928360192323452748755*n^3+6315581004571052642028613912948960*n^2+93025045799053564729588407723618162*n+536987250031586704888343185820789820)/(2*n+99)/(n+54)/(n+52)/(n+51)/(2*n+101)*a(n+34)-1/15792537600*(3219624915780848615843035259*n^5+680756799720193689995000825320*n^4+55663370450496942486138091648225*n^3+2221554931997307812340245591771060*n^2+43538483903488523830497652431681336*n+336549126312221720245279739067322800)/(2*n+99)/(n+54)/(n+52)/(n+51)/(2*n+101)*a(n+35)+1/3158507520*(826952162575495934226198253*n^5+154231477816211532670443068330*n^4+11478992227601481327188821725506*n^3+426253306153900591464043128190516*n^2+7898398725852488032890589007417541*n+58434902493815530634737715913453606)/(2*n+99)/(n+54)/(n+52)/(n+51)/(2*n+101)*a(n+36)+1/10528358400*(833069254850913202633974996209*n^5+128106054373105516979128948405420*n^4+7876018464055751990843402813394755*n^3+241997769121296038273861929029146780*n^2+3716138339112720877019356426988040716*n+22816335615631881645560095400723361840)/(2*n+99)/(n+54)/(n+52)/(n+51)/(2*n+101)*a(n+31)-1/15792537600*(500405485679491336546665845494*n^5+78243529983018803709436470016850*n^4+4891249433862950929237583505019265*n^3+152807393130543419083404174356936680*n^2+2385721790224967384742156113100295041*n+14891324392028808573647728439757980430)/(2*n+99)/(n+54)/(n+52)/(n+51)/(2*n+101)*a(n+32)+1/15792537600*(3836072071999315254024114472967*n^5+457196315607245591023727466336490*n^4+21269706987337561073148924548708545*n^3+478015707654084365150596854680833910*n^2+5098736883624750613095364684900952688*n+19914708572856012126864911915042744400)/(2*n+99)/(n+54)/(n+52)/(n+51)/(2*n+101)*a(n+28)+1/31585075200*(3532574322385461988132065017147*n^5+566278110267602074790520763535500*n^4+35843476471339289158094945647079185*n^3+1122648050501914050565026120990098420*n^2+17431607234024834200817612505217674108*n+107495568718495025563440731181215967120)/(2*n+99)/(n+54)/(n+52)/(n+51)/(2*n+101)*a(n+29)-1/15792537600*(2172160575830286356584192195949*n^5+330447488989468486600561868620270*n^4+20080705783197592169393726398117705*n^3+609365271784223987422495561838754410*n^2+9235061163898083047539393603273515186*n+55923190473552375607667552079201648960)/(2*n+99)/(n+54)/(n+52)/(n+51)/(2*n+101)*a(n+30)-1/10528358400*(53838317987652013915168609482653*n^5+6585232270498413744779304271850440*n^4+321387577299753254076625768739164435*n^3+7823842700472624428858618784107185840*n^2+95012562190934394519684343698017798992*n+460502761886831306388495904559795093880)/(2*n+99)/(n+54)/(n+52)/(n+51)/(2*n+101)*a(n+25)+1/15792537600*(49966743046995594356963702400941*n^5+6243706317975678442965031897214740*n^4+311533882226151626838218538281590375*n^3+7758276897948853024347819107859022460*n^2+96428269131372305206749608165231069004*n+478509648443058572726296700110775595480)/(2*n+99)/(n+54)/(n+52)/(n+51)/(2*n+101)*a(n+26)-1/31585075200*(40639965623861055835335547778287*n^5+5151996357675536904556897742312360*n^4+260500461721906465701568082675846405*n^3+6565090060129464605584037758854249640*n^2+82438276244521624929729845663869475628*n+412470733540674300346655518778433789840)/(2*n+99)/(n+54)/(n+52)/(n+51)/(2*n+101)*a(n+27)-1/5264179200*(78395890156875189688859676297811*n^5+7737552632387607966005142404915370*n^4+305975942656362676156196929557912995*n^3+6064750091175580551341955394714523190*n^2+60311881197615555333143885569286750994*n+241007146470814929365268409293705965400)/(2*n+99)/(n+54)/(n+52)/(n+51)/(2*n+101)*a(n+22)+1/31585075200*(34110548523947935484772420106577*n^5+1758726249131272456987438061582680*n^4-3292763007725145775598720955612785*n^3-1688762935308099644177072724865163620*n^2-34567753352654691379013230647454862292*n-214393208170953098496438448977057548400)/(2*n+99)/(n+54)/(n+52)/(n+51)/(2*n+101)*a(n+23)+1/15792537600*(76419953745150788191433819263478*n^5+9319315011068946500514235596291340*n^4+451142169751302961085098086295801075*n^3+10846813090564036976558281362695671910*n^2+129616092099118272016176832370003089947*n+616192748353943132763639630048209721810)/(2*n+99)/(n+54)/(n+52)/(n+51)/(2*n+101)*a(n+24)-1/15792537600*(794435760584668972915548040698727*n^5+73440543565403802689837705052992060*n^4+2717333228318495920143487286473823135*n^3+50314414564014911225137181721288626920*n^2+466340763098438186494983377047740277698*n+1731416602336566148854357327435086341740)/(2*n+99)/(n+54)/(n+52)/(n+51)/(2*n+101)*a(n+20)+1/31585075200*(1080025760005264284804330931162211*n^5+104296367757889116676072938608654380*n^4+4035329887877406666810170830944477625*n^3+78226445191132436769359533267088789180*n^2+760139071607298069858638050421491367604*n+2963504889812715931602433647749325984480)/(2*n+99)/(n+54)/(n+52)/(n+51)/(2*n+101)*a(n+21)+1/15792537600*(182686103656359578563678281247588*n^5+16196169999402776440919608098166820*n^4+575093189979715735915556617449895715*n^3+10208571888032845096778691356886745390*n^2+90501816933137160591654511095847337577*n+320343672694167705245104038335174404110)/(2*n+99)/(n+54)/(n+52)/(n+51)/(2*n+101)*a(n+16)+1/31585075200*(273320227982015882063911253171717*n^5+16984601710375248379893323527414060*n^4+360045605620770220888482215276215075*n^3+2343970287795376049613885230933196260*n^2-12831479622364144013479052379947861472*n-157131302081202756199898795946287047320)/(2*n+99)/(n+54)/(n+52)/(n+51)/(2*n+101)*a(n+17)-1/15792537600*(559226880664445587906902083444869*n^5+45326285284781963378727328756998530*n^4+1457536804119486568052473107016949555*n^3+23203798255784590236618977498584848670*n^2+182455049678563490051919468536334597096*n+565040132037976421615395177424538721800)/(2*n+99)/(n+54)/(n+52)/(n+51)/(2*n+101)*a(n+18)+1/6317015040*(329605367644189515344038886911631*n^5+28829496600493772951793768938898292*n^4+1007171694633909283323315534737843365*n^3+17566293960239161320316172165026462532*n^2+152948740646351749828690982378820475812*n+531830171391782560812111243693652655184)/(2*n+99)/(n+54)/(n+52)/(n+51)/(2*n+101)*a(n+19)-1/31585075200*(9033217434338823821311019306921*n^5+623434959791146010888249917404520*n^4+18933426300173170074907718131925335*n^3+306340519699114848939697580573557280*n^2+2556205398155187621147343933885143384*n+8603818028025905872612992759858571320)/(2*n+99)/(n+54)/(n+52)/(n+51)/(2*n+101)*a(n+13)+1/5264179200*(39709710630040434187795978104843*n^5+2895924643531105059338841966272820*n^4+85253032643100591824147511763418595*n^3+1265314111860252104200932425173843720*n^2+9458648949670931183735840319525259682*n+28460809828130578087257418342991553780)/(2*n+99)/(n+54)/(n+52)/(n+51)/(2*n+101)*a(n+14)-1/10528358400*(161049500566858595277994408882601*n^5+12591077093984417800198282220502800*n^4+396614104281775378145962746145795035*n^3+6286023376154208465329837526321256920*n^2+50081329666294448690052082881555057404*n+160310869110901620042662733153561213840)/(2*n+99)/(n+54)/(n+52)/(n+51)/(2*n+101)*a(n+15)-1/2632089600*(102425693325597780624680359963*n^5+4703844354340169130506732551065*n^4+83834726036546076852376487367640*n^3+714761679576120690351504620189925*n^2+2840393549827511990290150649925817*n+3966375982894147985155701623694270)/(2*n+99)/(n+54)/(n+52)/(n+51)/(2*n+101)*a(n+10)+1/31585075200*(11691428807694720696769257076867*n^5+750734864826394053232346464638080*n^4+19059018673482938698799189966864045*n^3+239857686146580551411352386135292220*n^2+1499599584589901107541017851404702508*n+3731787378428646103474623569458791120)/(2*n+99)/(n+54)/(n+52)/(n+51)/(2*n+101)*a(n+11)-1/3158507520*(4038826587624460989708072980288*n^5+266863714185047321242962388939264*n^4+6984674835792803143693896274165501*n^3+90680313035406082818592973852352134*n^2+584701959094931901124748015349213267*n+1499274677355250035749721635570650002)/(2*n+99)/(n+54)/(n+52)/(n+51)/(2*n+101)*a(n+12)-1/987033600*(1957545448089597468742176137*n^5+73957262673706632548774747125*n^4+1118297648155825132375920880870*n^3+8459740414392102038084034869060*n^2+32019717886831047585864461956428*n+48516809842892696966508331791000)/(2*n+99)/(n+54)/(n+52)/(n+51)/(2*n+101)*a(n+7)-1/1316044800*(7824527321515378305262244073*n^5+365352837214022489362278200465*n^4+6775861942159842198128838154405*n^3+62398864682661978701604685429695*n^2+285398610604497050098743526360002*n+518810892395295212078014785638400)/(2*n+99)/(n+54)/(n+52)/(n+51)/(2*n+101)*a(n+8)+1/5264179200*(237820270274111025666472010999*n^5+11129391281947578114755580767580*n^4+208434142068617013830579862243685*n^3+1950687222132231649695211236095660*n^2+9114329684202931451725975079926636*n+16994896324065066294192536860040880)/(2*n+99)/(n+54)/(n+52)/(n+51)/(2*n+101)*a(n+9)-1/2467584*(15000093258922922696*n^5+401750899735090976005*n^4+4063163244188827486015*n^3+19501137409560852918680*n^2+44757876200681199287904*n+39569215034082985488720)/(2*n+99)/(n+54)/(n+52)/(n+51)/(2*n+101)*a(n+3)+1/9870336*(4807679872676003110937*n^5+94298178310190964683098*n^4+697269526645523714376259*n^3+2339175213895981776952838*n^2+3207648749019936418209924*n+810574348659021464127984)/(2*n+99)/(n+54)/(n+52)/(n+51)/(2*n+101)*a(n+4)+1/3290112*(49882176998890547891511*n^5+1405498875596615517950766*n^4+15808332851403615715525672*n^3+88807570034928973911959783*n^2+249436112280691415208279594*n+280496361044245506518873688)/(2*n+99)/(n+54)/(n+52)/(n+51)/(2*n+101)*a(n+5)+1/32901120*(2763470502925761847811441*n^5+91778473925919070036572724*n^4+1213433995388478866044480955*n^3+7993431923906063627494203680*n^2+26264266933700834728999332224*n+34467678105273476725080200856)/(2*n+99)/(n+54)/(n+52)/(n+51)/(2*n+101)*a(n+6)+25/51408*(2*n+3)*(n+2)*(n+1)*(378460651211*n^2+12076261762408*n+19131742321370)/(2*n+99)/(n+54)/(n+52)/(n+51)/(2*n+101)*a(n+1)-1/205632*(n+2)*(112739206974508361*n^4+1483043607846006228*n^3+7452297527770000814*n^2+16658010918635884147*n+13843725949156371030)/(2*n+99)/(n+54)/(n+52)/(n+51)/(2*n+101)*a(n+2), n >= 53

Recurrence in latex format:
a(0) = 1
a(1) = 1
a(2) = 2
a(3) = 6
a(4) = 24
a(5) = 113
a(6) = 580
a(7) = 3135
a(8) = 17574
a(9) = 101328
a(10) = 597530
a(11) = 3588409
a(12) = 21873654
a(13) = 134993745
a(14) = 841834258
a(15) = 5296570762
a(16) = 33580730028
a(17) = 214331723413
a(18) = 1376050874888
a(19) = 8880640683475
a(20) = 57580112794566
a(21) = 374897792401784
a(22) = 2450130035119502
a(23) = 16067541744133321
a(24) = 105696865568773034
a(25) = 697288027510466065
a(26) = 4612101131893556690
a(27) = 30579675419155974198
a(28) = 203205444324643839392
a(29) = 1353118432761393355993
a(30) = 9027578364497044912476
a(31) = 60337191656874456003535
a(32) = 403948715293159877598662
a(33) = 2708622526316017679981744
a(34) = 18189045954398904002834962
a(35) = 122312924665155667222690177
a(36) = 823570749826038111089314622
a(37) = 5552181949649519998744615761
a(38) = 37474114860594880255222802050
a(39) = 253207778261915658334755501642
a(40) = 1712678377742135454779531536340
a(41) = 11595907334988437652055208460525
a(42) = 78585522246747337240357595699200
a(43) = 533051920017652752521187228027123
a(44) = 3618822723523716977088180065650566
a(45) = 24587754383214120330689437953706664
a(46) = 167189218514148065694686319034704166
a(47) = 1137681371824916026778518740332168001
a(48) = 7747152360857139335547619557044869074
a(49) = 52790963685777376184105471072603157153
a(50) = 359965520700963497899376931129473256354
a(51) = 2456035038154862423972105186139199101542
a(52) = 16767555597716716094616272558104191152616
a{\left(n + 53 \right)} = \frac{1662605625 n \left(n + 1\right) \left(n + 2\right) \left(2 n + 1\right) \left(2 n + 3\right) a{\left(n \right)}}{68 \left(n + 51\right) \left(n + 52\right) \left(n + 54\right) \left(2 n + 99\right) \left(2 n + 101\right)} + \frac{25 \left(n + 1\right) \left(n + 2\right) \left(2 n + 3\right) \left(378460651211 n^{2} + 12076261762408 n + 19131742321370\right) a{\left(n + 1 \right)}}{51408 \left(n + 51\right) \left(n + 52\right) \left(n + 54\right) \left(2 n + 99\right) \left(2 n + 101\right)} - \frac{\left(n + 2\right) \left(112739206974508361 n^{4} + 1483043607846006228 n^{3} + 7452297527770000814 n^{2} + 16658010918635884147 n + 13843725949156371030\right) a{\left(n + 2 \right)}}{205632 \left(n + 51\right) \left(n + 52\right) \left(n + 54\right) \left(2 n + 99\right) \left(2 n + 101\right)} + \frac{\left(17206 n^{3} + 2623523 n^{2} + 133283645 n + 2256132040\right) a{\left(n + 52 \right)}}{135 \left(n + 52\right) \left(n + 54\right) \left(2 n + 101\right)} - \frac{\left(105319378 n^{5} + 26284162820 n^{4} + 2623584972455 n^{3} + 130924904520400 n^{2} + 3266453863479792 n + 32594841428548800\right) a{\left(n + 51 \right)}}{15300 \left(n + 51\right) \left(n + 52\right) \left(n + 54\right) \left(2 n + 99\right) \left(2 n + 101\right)} + \frac{\left(8533767488 n^{5} + 2115649306180 n^{4} + 209763503766065 n^{3} + 10397052813237260 n^{2} + 257623443593159702 n + 2552972246631728085\right) a{\left(n + 50 \right)}}{91800 \left(n + 51\right) \left(n + 52\right) \left(n + 54\right) \left(2 n + 99\right) \left(2 n + 101\right)} - \frac{\left(65080200952 n^{5} + 17141035544180 n^{4} + 1792801266902460 n^{3} + 93177289163872900 n^{2} + 2408461612564283783 n + 24786107104462412070\right) a{\left(n + 49 \right)}}{183600 \left(n + 51\right) \left(n + 52\right) \left(n + 54\right) \left(2 n + 99\right) \left(2 n + 101\right)} - \frac{\left(70341969077206 n^{5} + 15716977476876140 n^{4} + 1399483052083173455 n^{3} + 62045544744315326350 n^{2} + 1368808815467856857964 n + 12012677703936216467055\right) a{\left(n + 48 \right)}}{7711200 \left(n + 51\right) \left(n + 52\right) \left(n + 54\right) \left(2 n + 99\right) \left(2 n + 101\right)} + \frac{\left(2583528817963702 n^{5} + 589560725672198840 n^{4} + 53774245025486270420 n^{3} + 2450441667289870736995 n^{2} + 55785458223275421410463 n + 507545489750764788173160\right) a{\left(n + 47 \right)}}{15422400 \left(n + 51\right) \left(n + 52\right) \left(n + 54\right) \left(2 n + 99\right) \left(2 n + 101\right)} - \frac{\left(4053002766232324 n^{5} + 975278508515649190 n^{4} + 93425612985814725260 n^{3} + 4455831582214396396165 n^{2} + 105854075025229690974031 n + 1002424931033180778863310\right) a{\left(n + 46 \right)}}{5140800 \left(n + 51\right) \left(n + 52\right) \left(n + 54\right) \left(2 n + 99\right) \left(2 n + 101\right)} - \frac{\left(965142544188287332 n^{5} + 196838643179098982240 n^{4} + 15946072104167889434555 n^{3} + 640582751744219514549085 n^{2} + 12739254367629593750087418 n + 100106726358936588627471120\right) a{\left(n + 45 \right)}}{61689600 \left(n + 51\right) \left(n + 52\right) \left(n + 54\right) \left(2 n + 99\right) \left(2 n + 101\right)} + \frac{\left(8211457790992487337 n^{5} + 1710242204213484251890 n^{4} + 142237110647044974017370 n^{3} + 5903875314121663890080810 n^{2} + 122282127668410032032542278 n + 1010887845588427688027836185\right) a{\left(n + 44 \right)}}{20563200 \left(n + 51\right) \left(n + 52\right) \left(n + 54\right) \left(2 n + 99\right) \left(2 n + 101\right)} - \frac{\left(15000093258922922696 n^{5} + 401750899735090976005 n^{4} + 4063163244188827486015 n^{3} + 19501137409560852918680 n^{2} + 44757876200681199287904 n + 39569215034082985488720\right) a{\left(n + 3 \right)}}{2467584 \left(n + 51\right) \left(n + 52\right) \left(n + 54\right) \left(2 n + 99\right) \left(2 n + 101\right)} - \frac{\left(1275741933713329962566 n^{5} + 263360646287514323353780 n^{4} + 21727624234611991391866525 n^{3} + 895437354913397020521288890 n^{2} + 18432984071664118269360041514 n + 151620072825480116077864420200\right) a{\left(n + 43 \right)}}{246758400 \left(n + 51\right) \left(n + 52\right) \left(n + 54\right) \left(2 n + 99\right) \left(2 n + 101\right)} + \frac{\left(4807679872676003110937 n^{5} + 94298178310190964683098 n^{4} + 697269526645523714376259 n^{3} + 2339175213895981776952838 n^{2} + 3207648749019936418209924 n + 810574348659021464127984\right) a{\left(n + 4 \right)}}{9870336 \left(n + 51\right) \left(n + 52\right) \left(n + 54\right) \left(2 n + 99\right) \left(2 n + 101\right)} + \frac{\left(23646687607136689778584 n^{5} + 4812194728265684969890340 n^{4} + 391503291590295778286092445 n^{3} + 15916438047479321829009545920 n^{2} + 323342185659727816615321973106 n + 2625798718250650828979758709145\right) a{\left(n + 42 \right)}}{493516800 \left(n + 51\right) \left(n + 52\right) \left(n + 54\right) \left(2 n + 99\right) \left(2 n + 101\right)} + \frac{\left(49882176998890547891511 n^{5} + 1405498875596615517950766 n^{4} + 15808332851403615715525672 n^{3} + 88807570034928973911959783 n^{2} + 249436112280691415208279594 n + 280496361044245506518873688\right) a{\left(n + 5 \right)}}{3290112 \left(n + 51\right) \left(n + 52\right) \left(n + 54\right) \left(2 n + 99\right) \left(2 n + 101\right)} - \frac{\left(342861693637449187332112 n^{5} + 68633001678646780860841340 n^{4} + 5493414702000295056456209510 n^{3} + 219760862530574037450265855690 n^{2} + 4393892837119380576368540503623 n + 35125425664918581787609743797670\right) a{\left(n + 41 \right)}}{987033600 \left(n + 51\right) \left(n + 52\right) \left(n + 54\right) \left(2 n + 99\right) \left(2 n + 101\right)} + \frac{\left(2763470502925761847811441 n^{5} + 91778473925919070036572724 n^{4} + 1213433995388478866044480955 n^{3} + 7993431923906063627494203680 n^{2} + 26264266933700834728999332224 n + 34467678105273476725080200856\right) a{\left(n + 6 \right)}}{32901120 \left(n + 51\right) \left(n + 52\right) \left(n + 54\right) \left(2 n + 99\right) \left(2 n + 101\right)} + \frac{\left(4026330228951280834656358 n^{5} + 791921235481060416172796900 n^{4} + 62285477288028293431153433945 n^{3} + 2448663896983176971973283435690 n^{2} + 48117614509252443751033601805612 n + 378090745207308941022865509927165\right) a{\left(n + 40 \right)}}{1974067200 \left(n + 51\right) \left(n + 52\right) \left(n + 54\right) \left(2 n + 99\right) \left(2 n + 101\right)} - \frac{\left(38756237620148130673632182 n^{5} + 7486662977995995374150225800 n^{4} + 578322464343972093250532618410 n^{3} + 22330271779514567807115525912665 n^{2} + 430979784539011255398487308180213 n + 3326175847696536017245531704076560\right) a{\left(n + 39 \right)}}{3948134400 \left(n + 51\right) \left(n + 52\right) \left(n + 54\right) \left(2 n + 99\right) \left(2 n + 101\right)} + \frac{\left(50685681161171525547339604 n^{5} + 9621332494173151700829465170 n^{4} + 730255594979952310513425881125 n^{3} + 27702215565893539955360938231755 n^{2} + 525235361264659461785046480255671 n + 3981831052898029872366412427793075\right) a{\left(n + 38 \right)}}{1316044800 \left(n + 51\right) \left(n + 52\right) \left(n + 54\right) \left(2 n + 99\right) \left(2 n + 101\right)} - \frac{\left(314019464321076849327678648 n^{5} + 58739767740414506860826438310 n^{4} + 4391730409094643099491978907795 n^{3} + 164054546449074422373699570752980 n^{2} + 3061965555842262295289364848780177 n + 22843941124786256248821839917070910\right) a{\left(n + 37 \right)}}{2632089600 \left(n + 51\right) \left(n + 52\right) \left(n + 54\right) \left(2 n + 99\right) \left(2 n + 101\right)} + \frac{\left(826952162575495934226198253 n^{5} + 154231477816211532670443068330 n^{4} + 11478992227601481327188821725506 n^{3} + 426253306153900591464043128190516 n^{2} + 7898398725852488032890589007417541 n + 58434902493815530634737715913453606\right) a{\left(n + 36 \right)}}{3158507520 \left(n + 51\right) \left(n + 52\right) \left(n + 54\right) \left(2 n + 99\right) \left(2 n + 101\right)} - \frac{\left(1957545448089597468742176137 n^{5} + 73957262673706632548774747125 n^{4} + 1118297648155825132375920880870 n^{3} + 8459740414392102038084034869060 n^{2} + 32019717886831047585864461956428 n + 48516809842892696966508331791000\right) a{\left(n + 7 \right)}}{987033600 \left(n + 51\right) \left(n + 52\right) \left(n + 54\right) \left(2 n + 99\right) \left(2 n + 101\right)} - \frac{\left(3219624915780848615843035259 n^{5} + 680756799720193689995000825320 n^{4} + 55663370450496942486138091648225 n^{3} + 2221554931997307812340245591771060 n^{2} + 43538483903488523830497652431681336 n + 336549126312221720245279739067322800\right) a{\left(n + 35 \right)}}{15792537600 \left(n + 51\right) \left(n + 52\right) \left(n + 54\right) \left(2 n + 99\right) \left(2 n + 101\right)} - \frac{\left(7824527321515378305262244073 n^{5} + 365352837214022489362278200465 n^{4} + 6775861942159842198128838154405 n^{3} + 62398864682661978701604685429695 n^{2} + 285398610604497050098743526360002 n + 518810892395295212078014785638400\right) a{\left(n + 8 \right)}}{1316044800 \left(n + 51\right) \left(n + 52\right) \left(n + 54\right) \left(2 n + 99\right) \left(2 n + 101\right)} - \frac{\left(22763156941237116438226290283 n^{5} + 3483090295229830516078894620860 n^{4} + 211054150167928360192323452748755 n^{3} + 6315581004571052642028613912948960 n^{2} + 93025045799053564729588407723618162 n + 536987250031586704888343185820789820\right) a{\left(n + 34 \right)}}{15792537600 \left(n + 51\right) \left(n + 52\right) \left(n + 54\right) \left(2 n + 99\right) \left(2 n + 101\right)} + \frac{\left(95069627098756523420018041913 n^{5} + 15028262682456359412446912167980 n^{4} + 948982962114467691718847135109375 n^{3} + 29920049361066961987850069301897140 n^{2} + 470952852587825177372974285761906032 n + 2960366534628513389587805151552367560\right) a{\left(n + 33 \right)}}{10528358400 \left(n + 51\right) \left(n + 52\right) \left(n + 54\right) \left(2 n + 99\right) \left(2 n + 101\right)} - \frac{\left(102425693325597780624680359963 n^{5} + 4703844354340169130506732551065 n^{4} + 83834726036546076852376487367640 n^{3} + 714761679576120690351504620189925 n^{2} + 2840393549827511990290150649925817 n + 3966375982894147985155701623694270\right) a{\left(n + 10 \right)}}{2632089600 \left(n + 51\right) \left(n + 52\right) \left(n + 54\right) \left(2 n + 99\right) \left(2 n + 101\right)} + \frac{\left(237820270274111025666472010999 n^{5} + 11129391281947578114755580767580 n^{4} + 208434142068617013830579862243685 n^{3} + 1950687222132231649695211236095660 n^{2} + 9114329684202931451725975079926636 n + 16994896324065066294192536860040880\right) a{\left(n + 9 \right)}}{5264179200 \left(n + 51\right) \left(n + 52\right) \left(n + 54\right) \left(2 n + 99\right) \left(2 n + 101\right)} - \frac{\left(500405485679491336546665845494 n^{5} + 78243529983018803709436470016850 n^{4} + 4891249433862950929237583505019265 n^{3} + 152807393130543419083404174356936680 n^{2} + 2385721790224967384742156113100295041 n + 14891324392028808573647728439757980430\right) a{\left(n + 32 \right)}}{15792537600 \left(n + 51\right) \left(n + 52\right) \left(n + 54\right) \left(2 n + 99\right) \left(2 n + 101\right)} + \frac{\left(833069254850913202633974996209 n^{5} + 128106054373105516979128948405420 n^{4} + 7876018464055751990843402813394755 n^{3} + 241997769121296038273861929029146780 n^{2} + 3716138339112720877019356426988040716 n + 22816335615631881645560095400723361840\right) a{\left(n + 31 \right)}}{10528358400 \left(n + 51\right) \left(n + 52\right) \left(n + 54\right) \left(2 n + 99\right) \left(2 n + 101\right)} - \frac{\left(2172160575830286356584192195949 n^{5} + 330447488989468486600561868620270 n^{4} + 20080705783197592169393726398117705 n^{3} + 609365271784223987422495561838754410 n^{2} + 9235061163898083047539393603273515186 n + 55923190473552375607667552079201648960\right) a{\left(n + 30 \right)}}{15792537600 \left(n + 51\right) \left(n + 52\right) \left(n + 54\right) \left(2 n + 99\right) \left(2 n + 101\right)} + \frac{\left(3532574322385461988132065017147 n^{5} + 566278110267602074790520763535500 n^{4} + 35843476471339289158094945647079185 n^{3} + 1122648050501914050565026120990098420 n^{2} + 17431607234024834200817612505217674108 n + 107495568718495025563440731181215967120\right) a{\left(n + 29 \right)}}{31585075200 \left(n + 51\right) \left(n + 52\right) \left(n + 54\right) \left(2 n + 99\right) \left(2 n + 101\right)} + \frac{\left(3836072071999315254024114472967 n^{5} + 457196315607245591023727466336490 n^{4} + 21269706987337561073148924548708545 n^{3} + 478015707654084365150596854680833910 n^{2} + 5098736883624750613095364684900952688 n + 19914708572856012126864911915042744400\right) a{\left(n + 28 \right)}}{15792537600 \left(n + 51\right) \left(n + 52\right) \left(n + 54\right) \left(2 n + 99\right) \left(2 n + 101\right)} - \frac{\left(4038826587624460989708072980288 n^{5} + 266863714185047321242962388939264 n^{4} + 6984674835792803143693896274165501 n^{3} + 90680313035406082818592973852352134 n^{2} + 584701959094931901124748015349213267 n + 1499274677355250035749721635570650002\right) a{\left(n + 12 \right)}}{3158507520 \left(n + 51\right) \left(n + 52\right) \left(n + 54\right) \left(2 n + 99\right) \left(2 n + 101\right)} - \frac{\left(9033217434338823821311019306921 n^{5} + 623434959791146010888249917404520 n^{4} + 18933426300173170074907718131925335 n^{3} + 306340519699114848939697580573557280 n^{2} + 2556205398155187621147343933885143384 n + 8603818028025905872612992759858571320\right) a{\left(n + 13 \right)}}{31585075200 \left(n + 51\right) \left(n + 52\right) \left(n + 54\right) \left(2 n + 99\right) \left(2 n + 101\right)} + \frac{\left(11691428807694720696769257076867 n^{5} + 750734864826394053232346464638080 n^{4} + 19059018673482938698799189966864045 n^{3} + 239857686146580551411352386135292220 n^{2} + 1499599584589901107541017851404702508 n + 3731787378428646103474623569458791120\right) a{\left(n + 11 \right)}}{31585075200 \left(n + 51\right) \left(n + 52\right) \left(n + 54\right) \left(2 n + 99\right) \left(2 n + 101\right)} + \frac{\left(34110548523947935484772420106577 n^{5} + 1758726249131272456987438061582680 n^{4} - 3292763007725145775598720955612785 n^{3} - 1688762935308099644177072724865163620 n^{2} - 34567753352654691379013230647454862292 n - 214393208170953098496438448977057548400\right) a{\left(n + 23 \right)}}{31585075200 \left(n + 51\right) \left(n + 52\right) \left(n + 54\right) \left(2 n + 99\right) \left(2 n + 101\right)} + \frac{\left(39709710630040434187795978104843 n^{5} + 2895924643531105059338841966272820 n^{4} + 85253032643100591824147511763418595 n^{3} + 1265314111860252104200932425173843720 n^{2} + 9458648949670931183735840319525259682 n + 28460809828130578087257418342991553780\right) a{\left(n + 14 \right)}}{5264179200 \left(n + 51\right) \left(n + 52\right) \left(n + 54\right) \left(2 n + 99\right) \left(2 n + 101\right)} - \frac{\left(40639965623861055835335547778287 n^{5} + 5151996357675536904556897742312360 n^{4} + 260500461721906465701568082675846405 n^{3} + 6565090060129464605584037758854249640 n^{2} + 82438276244521624929729845663869475628 n + 412470733540674300346655518778433789840\right) a{\left(n + 27 \right)}}{31585075200 \left(n + 51\right) \left(n + 52\right) \left(n + 54\right) \left(2 n + 99\right) \left(2 n + 101\right)} + \frac{\left(49966743046995594356963702400941 n^{5} + 6243706317975678442965031897214740 n^{4} + 311533882226151626838218538281590375 n^{3} + 7758276897948853024347819107859022460 n^{2} + 96428269131372305206749608165231069004 n + 478509648443058572726296700110775595480\right) a{\left(n + 26 \right)}}{15792537600 \left(n + 51\right) \left(n + 52\right) \left(n + 54\right) \left(2 n + 99\right) \left(2 n + 101\right)} - \frac{\left(53838317987652013915168609482653 n^{5} + 6585232270498413744779304271850440 n^{4} + 321387577299753254076625768739164435 n^{3} + 7823842700472624428858618784107185840 n^{2} + 95012562190934394519684343698017798992 n + 460502761886831306388495904559795093880\right) a{\left(n + 25 \right)}}{10528358400 \left(n + 51\right) \left(n + 52\right) \left(n + 54\right) \left(2 n + 99\right) \left(2 n + 101\right)} + \frac{\left(76419953745150788191433819263478 n^{5} + 9319315011068946500514235596291340 n^{4} + 451142169751302961085098086295801075 n^{3} + 10846813090564036976558281362695671910 n^{2} + 129616092099118272016176832370003089947 n + 616192748353943132763639630048209721810\right) a{\left(n + 24 \right)}}{15792537600 \left(n + 51\right) \left(n + 52\right) \left(n + 54\right) \left(2 n + 99\right) \left(2 n + 101\right)} - \frac{\left(78395890156875189688859676297811 n^{5} + 7737552632387607966005142404915370 n^{4} + 305975942656362676156196929557912995 n^{3} + 6064750091175580551341955394714523190 n^{2} + 60311881197615555333143885569286750994 n + 241007146470814929365268409293705965400\right) a{\left(n + 22 \right)}}{5264179200 \left(n + 51\right) \left(n + 52\right) \left(n + 54\right) \left(2 n + 99\right) \left(2 n + 101\right)} - \frac{\left(161049500566858595277994408882601 n^{5} + 12591077093984417800198282220502800 n^{4} + 396614104281775378145962746145795035 n^{3} + 6286023376154208465329837526321256920 n^{2} + 50081329666294448690052082881555057404 n + 160310869110901620042662733153561213840\right) a{\left(n + 15 \right)}}{10528358400 \left(n + 51\right) \left(n + 52\right) \left(n + 54\right) \left(2 n + 99\right) \left(2 n + 101\right)} + \frac{\left(182686103656359578563678281247588 n^{5} + 16196169999402776440919608098166820 n^{4} + 575093189979715735915556617449895715 n^{3} + 10208571888032845096778691356886745390 n^{2} + 90501816933137160591654511095847337577 n + 320343672694167705245104038335174404110\right) a{\left(n + 16 \right)}}{15792537600 \left(n + 51\right) \left(n + 52\right) \left(n + 54\right) \left(2 n + 99\right) \left(2 n + 101\right)} + \frac{\left(273320227982015882063911253171717 n^{5} + 16984601710375248379893323527414060 n^{4} + 360045605620770220888482215276215075 n^{3} + 2343970287795376049613885230933196260 n^{2} - 12831479622364144013479052379947861472 n - 157131302081202756199898795946287047320\right) a{\left(n + 17 \right)}}{31585075200 \left(n + 51\right) \left(n + 52\right) \left(n + 54\right) \left(2 n + 99\right) \left(2 n + 101\right)} + \frac{\left(329605367644189515344038886911631 n^{5} + 28829496600493772951793768938898292 n^{4} + 1007171694633909283323315534737843365 n^{3} + 17566293960239161320316172165026462532 n^{2} + 152948740646351749828690982378820475812 n + 531830171391782560812111243693652655184\right) a{\left(n + 19 \right)}}{6317015040 \left(n + 51\right) \left(n + 52\right) \left(n + 54\right) \left(2 n + 99\right) \left(2 n + 101\right)} - \frac{\left(559226880664445587906902083444869 n^{5} + 45326285284781963378727328756998530 n^{4} + 1457536804119486568052473107016949555 n^{3} + 23203798255784590236618977498584848670 n^{2} + 182455049678563490051919468536334597096 n + 565040132037976421615395177424538721800\right) a{\left(n + 18 \right)}}{15792537600 \left(n + 51\right) \left(n + 52\right) \left(n + 54\right) \left(2 n + 99\right) \left(2 n + 101\right)} - \frac{\left(794435760584668972915548040698727 n^{5} + 73440543565403802689837705052992060 n^{4} + 2717333228318495920143487286473823135 n^{3} + 50314414564014911225137181721288626920 n^{2} + 466340763098438186494983377047740277698 n + 1731416602336566148854357327435086341740\right) a{\left(n + 20 \right)}}{15792537600 \left(n + 51\right) \left(n + 52\right) \left(n + 54\right) \left(2 n + 99\right) \left(2 n + 101\right)} + \frac{\left(1080025760005264284804330931162211 n^{5} + 104296367757889116676072938608654380 n^{4} + 4035329887877406666810170830944477625 n^{3} + 78226445191132436769359533267088789180 n^{2} + 760139071607298069858638050421491367604 n + 2963504889812715931602433647749325984480\right) a{\left(n + 21 \right)}}{31585075200 \left(n + 51\right) \left(n + 52\right) \left(n + 54\right) \left(2 n + 99\right) \left(2 n + 101\right)}, \quad n \geq 53

Specification 1
Strategy pack name: point_placements_req_corrob
Tree: http://permpal.com/tree/24581/
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[25,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[2,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[25,x]*F[8,x]
F[8,x] = F[42,x]+F[9,x]
F[9,x] = F[10,x]+F[34,x]
F[10,x] = F[11,x]+F[2,x]
F[11,x] = F[12,x]
F[12,x] = F[13,x]*F[25,x]
F[13,x] = F[14,x]+F[15,x]
F[14,x] = F[2,x]*F[4,x]
F[15,x] = F[144,x]+F[16,x]
F[16,x] = F[17,x]+F[19,x]
F[17,x] = F[18,x]
F[18,x] = F[0,x]*F[2,x]
F[19,x] = F[20,x]
F[20,x] = F[21,x]*F[25,x]
F[21,x] = F[22,x]+F[26,x]
F[22,x] = F[2,x]*F[23,x]
F[23,x] = 1/F[25,x]*F[24,x]
F[24,x] = F[5,x]
F[25,x] = x
F[26,x] = F[27,x]
F[27,x] = -F[131,x]+F[28,x]
F[28,x] = 1/F[25,x]*F[29,x]
F[29,x] = F[30,x]
F[30,x] = -F[129,x]+F[31,x]
F[31,x] = -F[124,x]+F[32,x]
F[32,x] = 1/F[25,x]*F[33,x]
F[33,x] = F[34,x]
F[34,x] = F[35,x]+F[6,x]
F[35,x] = F[36,x]
F[36,x] = -F[6,x]+F[37,x]
F[37,x] = -F[123,x]+F[38,x]
F[38,x] = F[39,x]
F[39,x] = F[25,x]*F[40,x]
F[40,x] = 1/F[25,x]*F[41,x]
F[41,x] = F[42,x]
F[42,x] = F[14,x]+F[43,x]
F[43,x] = F[44,x]
F[44,x] = F[122,x]*F[25,x]*F[45,x]
F[45,x] = 1/F[25,x]/F[88,x]*F[46,x]
F[46,x] = F[47,x]
F[47,x] = -F[50,x]+F[48,x]
F[48,x] = 1/F[25,x]*F[49,x]
F[49,x] = F[6,x]
F[50,x] = F[2,x]*F[51,x]
F[51,x] = F[0,x]+F[52,x]
F[52,x] = F[53,x]
F[53,x] = F[25,x]*F[54,x]
F[54,x] = F[55,x]+F[63,x]
F[55,x] = F[51,x]+F[56,x]
F[56,x] = -F[63,x]+F[57,x]
F[57,x] = 1/F[25,x]*F[58,x]
F[58,x] = F[59,x]
F[59,x] = -F[2,x]+F[60,x]
F[60,x] = -F[0,x]+F[61,x]
F[61,x] = 1/F[25,x]*F[62,x]
F[62,x] = F[2,x]
F[63,x] = F[115,x]+F[64,x]
F[64,x] = F[65,x]
F[65,x] = F[0,x]*F[25,x]*F[66,x]
F[66,x] = 1/F[25,x]/F[4,x]*F[67,x]
F[67,x] = F[68,x]
F[68,x] = -F[71,x]+F[69,x]
F[69,x] = 1/F[25,x]*F[70,x]
F[70,x] = F[59,x]
F[71,x] = F[72,x]+F[73,x]
F[72,x] = F[2,x]*F[61,x]
F[73,x] = F[74,x]
F[74,x] = F[25,x]*F[75,x]
F[75,x] = F[76,x]+F[77,x]
F[76,x] = F[2,x]*F[51,x]*F[66,x]
F[77,x] = F[78,x]+F[94,x]
F[78,x] = F[47,x]*F[79,x]
F[79,x] = 1/F[25,x]/F[84,x]*F[80,x]
F[80,x] = F[81,x]
F[81,x] = -F[55,x]+F[82,x]
F[82,x] = 1/F[25,x]*F[83,x]
F[83,x] = F[52,x]
F[84,x] = F[85,x]+F[91,x]
F[85,x] = F[51,x]+F[86,x]
F[86,x] = F[87,x]
F[87,x] = F[25,x]*F[85,x]*F[88,x]
F[88,x] = F[0,x]+F[89,x]
F[89,x] = F[90,x]
F[90,x] = F[25,x]*F[79,x]
F[91,x] = F[92,x]
F[92,x] = F[93,x]
F[93,x] = F[25,x]*F[84,x]*F[88,x]
F[94,x] = F[113,x]*F[95,x]
F[95,x] = F[96,x]
F[96,x] = F[25,x]*F[88,x]*F[97,x]
F[97,x] = 1/F[111,x]*F[98,x]
F[98,x] = -F[101,x]+F[99,x]
F[99,x] = 1/F[25,x]*F[100,x]
F[100,x] = F[47,x]
F[101,x] = F[102,x]*F[88,x]
F[102,x] = F[103,x]+F[105,x]
F[103,x] = F[0,x]*F[104,x]
F[104,x] = F[51,x]+F[92,x]
F[105,x] = -F[106,x]+F[45,x]
F[106,x] = F[107,x]+F[109,x]
F[107,x] = 1/F[25,x]*F[108,x]
F[108,x] = F[10,x]
F[109,x] = F[110,x]
F[110,x] = F[0,x]*F[92,x]
F[111,x] = F[112,x]
F[112,x] = F[88,x]^2*F[25,x]
F[113,x] = F[114,x]
F[114,x] = F[25,x]*F[79,x]*F[88,x]
F[115,x] = F[116,x]
F[116,x] = F[117,x]*F[25,x]
F[117,x] = F[118,x]+F[119,x]
F[118,x] = F[52,x]*F[66,x]
F[119,x] = F[120,x]+F[121,x]
F[120,x] = F[79,x]*F[92,x]
F[121,x] = F[113,x]*F[86,x]
F[122,x] = F[2,x]+F[89,x]
F[123,x] = F[2,x]+F[6,x]
F[124,x] = F[125,x]+F[22,x]
F[125,x] = F[126,x]
F[126,x] = F[122,x]*F[127,x]*F[25,x]
F[127,x] = 1/F[25,x]*F[128,x]
F[128,x] = F[31,x]
F[129,x] = F[130,x]
F[130,x] = F[102,x]*F[25,x]
F[131,x] = -F[142,x]+F[132,x]
F[132,x] = 1/F[25,x]*F[133,x]
F[133,x] = F[134,x]
F[134,x] = -F[139,x]+F[135,x]
F[135,x] = F[136,x]
F[136,x] = F[137,x]*F[25,x]
F[137,x] = 1/F[25,x]*F[138,x]
F[138,x] = F[124,x]
F[139,x] = F[140,x]
F[140,x] = F[141,x]+F[5,x]
F[141,x] = F[34,x]
F[142,x] = F[143,x]
F[143,x] = F[125,x]+F[31,x]
F[144,x] = F[145,x]
F[145,x] = F[122,x]*F[25,x]*F[97,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_{25}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{2}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{25}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{42}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{34}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)+F_{2}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right) F_{25}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)+F_{15}\! \left(x \right)
F_{14}\! \left(x \right) = F_{2}\! \left(x \right) F_{4}\! \left(x \right)
F_{15}\! \left(x \right) = F_{144}\! \left(x \right)+F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)+F_{19}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = F_{0}\! \left(x \right) F_{2}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right) F_{25}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)+F_{26}\! \left(x \right)
F_{22}\! \left(x \right) = F_{2}\! \left(x \right) F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = \frac{F_{24}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{24}\! \left(x \right) = F_{5}\! \left(x \right)
F_{25}\! \left(x \right) = x
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = -F_{131}\! \left(x \right)+F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = \frac{F_{29}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = -F_{129}\! \left(x \right)+F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = -F_{124}\! \left(x \right)+F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = \frac{F_{33}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)+F_{6}\! \left(x \right)
F_{35}\! \left(x \right) = F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = -F_{6}\! \left(x \right)+F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = -F_{123}\! \left(x \right)+F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{25}\! \left(x \right) F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = \frac{F_{41}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{14}\! \left(x \right)+F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{122}\! \left(x \right) F_{25}\! \left(x \right) F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = \frac{F_{46}\! \left(x \right)}{F_{25}\! \left(x \right) F_{88}\! \left(x \right)}
F_{46}\! \left(x \right) = F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = -F_{50}\! \left(x \right)+F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = \frac{F_{49}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{49}\! \left(x \right) = F_{6}\! \left(x \right)
F_{50}\! \left(x \right) = F_{2}\! \left(x \right) F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{0}\! \left(x \right)+F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{25}\! \left(x \right) F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{55}\! \left(x \right)+F_{63}\! \left(x \right)
F_{55}\! \left(x \right) = F_{51}\! \left(x \right)+F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = -F_{63}\! \left(x \right)+F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = \frac{F_{58}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{58}\! \left(x \right) = F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = \frac{F_{62}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{62}\! \left(x \right) = F_{2}\! \left(x \right)
F_{63}\! \left(x \right) = F_{115}\! \left(x \right)+F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{0}\! \left(x \right) F_{25}\! \left(x \right) F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = \frac{F_{67}\! \left(x \right)}{F_{25}\! \left(x \right) F_{4}\! \left(x \right)}
F_{67}\! \left(x \right) = F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = -F_{71}\! \left(x \right)+F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = \frac{F_{70}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{70}\! \left(x \right) = F_{59}\! \left(x \right)
F_{71}\! \left(x \right) = F_{72}\! \left(x \right)+F_{73}\! \left(x \right)
F_{72}\! \left(x \right) = F_{2}\! \left(x \right) F_{61}\! \left(x \right)
F_{73}\! \left(x \right) = F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{25}\! \left(x \right) F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{76}\! \left(x \right)+F_{77}\! \left(x \right)
F_{76}\! \left(x \right) = F_{2}\! \left(x \right) F_{51}\! \left(x \right) F_{66}\! \left(x \right)
F_{77}\! \left(x \right) = F_{78}\! \left(x \right)+F_{94}\! \left(x \right)
F_{78}\! \left(x \right) = F_{47}\! \left(x \right) F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = \frac{F_{80}\! \left(x \right)}{F_{25}\! \left(x \right) F_{84}\! \left(x \right)}
F_{80}\! \left(x \right) = F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = -F_{55}\! \left(x \right)+F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = \frac{F_{83}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{83}\! \left(x \right) = F_{52}\! \left(x \right)
F_{84}\! \left(x \right) = F_{85}\! \left(x \right)+F_{91}\! \left(x \right)
F_{85}\! \left(x \right) = F_{51}\! \left(x \right)+F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{25}\! \left(x \right) F_{85}\! \left(x \right) F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{0}\! \left(x \right)+F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{25}\! \left(x \right) F_{79}\! \left(x \right)
F_{91}\! \left(x \right) = F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{25}\! \left(x \right) F_{84}\! \left(x \right) F_{88}\! \left(x \right)
F_{94}\! \left(x \right) = F_{113}\! \left(x \right) F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{25}\! \left(x \right) F_{88}\! \left(x \right) F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = \frac{F_{98}\! \left(x \right)}{F_{111}\! \left(x \right)}
F_{98}\! \left(x \right) = -F_{101}\! \left(x \right)+F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = \frac{F_{100}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{100}\! \left(x \right) = F_{47}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right) F_{88}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)+F_{105}\! \left(x \right)
F_{103}\! \left(x \right) = F_{0}\! \left(x \right) F_{104}\! \left(x \right)
F_{104}\! \left(x \right) = F_{51}\! \left(x \right)+F_{92}\! \left(x \right)
F_{105}\! \left(x \right) = -F_{106}\! \left(x \right)+F_{45}\! \left(x \right)
F_{106}\! \left(x \right) = F_{107}\! \left(x \right)+F_{109}\! \left(x \right)
F_{107}\! \left(x \right) = \frac{F_{108}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{108}\! \left(x \right) = F_{10}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right)
F_{110}\! \left(x \right) = F_{0}\! \left(x \right) F_{92}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right)
F_{112}\! \left(x \right) = F_{88} \left(x \right)^{2} F_{25}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right)
F_{114}\! \left(x \right) = F_{25}\! \left(x \right) F_{79}\! \left(x \right) F_{88}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right)
F_{116}\! \left(x \right) = F_{117}\! \left(x \right) F_{25}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)+F_{119}\! \left(x \right)
F_{118}\! \left(x \right) = F_{52}\! \left(x \right) F_{66}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)+F_{121}\! \left(x \right)
F_{120}\! \left(x \right) = F_{79}\! \left(x \right) F_{92}\! \left(x \right)
F_{121}\! \left(x \right) = F_{113}\! \left(x \right) F_{86}\! \left(x \right)
F_{122}\! \left(x \right) = F_{2}\! \left(x \right)+F_{89}\! \left(x \right)
F_{123}\! \left(x \right) = F_{2}\! \left(x \right)+F_{6}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)+F_{22}\! \left(x \right)
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)
F_{126}\! \left(x \right) = F_{122}\! \left(x \right) F_{127}\! \left(x \right) F_{25}\! \left(x \right)
F_{127}\! \left(x \right) = \frac{F_{128}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{128}\! \left(x \right) = F_{31}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right)
F_{130}\! \left(x \right) = F_{102}\! \left(x \right) F_{25}\! \left(x \right)
F_{131}\! \left(x \right) = -F_{142}\! \left(x \right)+F_{132}\! \left(x \right)
F_{132}\! \left(x \right) = \frac{F_{133}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{133}\! \left(x \right) = F_{134}\! \left(x \right)
F_{134}\! \left(x \right) = -F_{139}\! \left(x \right)+F_{135}\! \left(x \right)
F_{135}\! \left(x \right) = F_{136}\! \left(x \right)
F_{136}\! \left(x \right) = F_{137}\! \left(x \right) F_{25}\! \left(x \right)
F_{137}\! \left(x \right) = \frac{F_{138}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{138}\! \left(x \right) = F_{124}\! \left(x \right)
F_{139}\! \left(x \right) = F_{140}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right)+F_{5}\! \left(x \right)
F_{141}\! \left(x \right) = F_{34}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right)
F_{143}\! \left(x \right) = F_{125}\! \left(x \right)+F_{31}\! \left(x \right)
F_{144}\! \left(x \right) = F_{145}\! \left(x \right)
F_{145}\! \left(x \right) = F_{122}\! \left(x \right) F_{25}\! \left(x \right) F_{97}\! \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_25(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_2(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_25(x)*F_8(x))
Eq(F_8(x), F_42(x) + F_9(x))
Eq(F_9(x), F_10(x) + F_34(x))
Eq(F_10(x), F_11(x) + F_2(x))
Eq(F_11(x), F_12(x))
Eq(F_12(x), F_13(x)*F_25(x))
Eq(F_13(x), F_14(x) + F_15(x))
Eq(F_14(x), F_2(x)*F_4(x))
Eq(F_15(x), F_144(x) + F_16(x))
Eq(F_16(x), F_17(x) + F_19(x))
Eq(F_17(x), F_18(x))
Eq(F_18(x), F_0(x)*F_2(x))
Eq(F_19(x), F_20(x))
Eq(F_20(x), F_21(x)*F_25(x))
Eq(F_21(x), F_22(x) + F_26(x))
Eq(F_22(x), F_2(x)*F_23(x))
Eq(F_23(x), F_24(x)/F_25(x))
Eq(F_24(x), F_5(x))
Eq(F_25(x), x)
Eq(F_26(x), F_27(x))
Eq(F_27(x), -F_131(x) + F_28(x))
Eq(F_28(x), F_29(x)/F_25(x))
Eq(F_29(x), F_30(x))
Eq(F_30(x), -F_129(x) + F_31(x))
Eq(F_31(x), -F_124(x) + F_32(x))
Eq(F_32(x), F_33(x)/F_25(x))
Eq(F_33(x), F_34(x))
Eq(F_34(x), F_35(x) + F_6(x))
Eq(F_35(x), F_36(x))
Eq(F_36(x), F_37(x) - F_6(x))
Eq(F_37(x), -F_123(x) + F_38(x))
Eq(F_38(x), F_39(x))
Eq(F_39(x), F_25(x)*F_40(x))
Eq(F_40(x), F_41(x)/F_25(x))
Eq(F_41(x), F_42(x))
Eq(F_42(x), F_14(x) + F_43(x))
Eq(F_43(x), F_44(x))
Eq(F_44(x), F_122(x)*F_25(x)*F_45(x))
Eq(F_45(x), F_46(x)/(F_25(x)*F_88(x)))
Eq(F_46(x), F_47(x))
Eq(F_47(x), F_48(x) - F_50(x))
Eq(F_48(x), F_49(x)/F_25(x))
Eq(F_49(x), F_6(x))
Eq(F_50(x), F_2(x)*F_51(x))
Eq(F_51(x), F_0(x) + F_52(x))
Eq(F_52(x), F_53(x))
Eq(F_53(x), F_25(x)*F_54(x))
Eq(F_54(x), F_55(x) + F_63(x))
Eq(F_55(x), F_51(x) + F_56(x))
Eq(F_56(x), F_57(x) - F_63(x))
Eq(F_57(x), F_58(x)/F_25(x))
Eq(F_58(x), F_59(x))
Eq(F_59(x), -F_2(x) + F_60(x))
Eq(F_60(x), -F_0(x) + F_61(x))
Eq(F_61(x), F_62(x)/F_25(x))
Eq(F_62(x), F_2(x))
Eq(F_63(x), F_115(x) + F_64(x))
Eq(F_64(x), F_65(x))
Eq(F_65(x), F_0(x)*F_25(x)*F_66(x))
Eq(F_66(x), F_67(x)/(F_25(x)*F_4(x)))
Eq(F_67(x), F_68(x))
Eq(F_68(x), F_69(x) - F_71(x))
Eq(F_69(x), F_70(x)/F_25(x))
Eq(F_70(x), F_59(x))
Eq(F_71(x), F_72(x) + F_73(x))
Eq(F_72(x), F_2(x)*F_61(x))
Eq(F_73(x), F_74(x))
Eq(F_74(x), F_25(x)*F_75(x))
Eq(F_75(x), F_76(x) + F_77(x))
Eq(F_76(x), F_2(x)*F_51(x)*F_66(x))
Eq(F_77(x), F_78(x) + F_94(x))
Eq(F_78(x), F_47(x)*F_79(x))
Eq(F_79(x), F_80(x)/(F_25(x)*F_84(x)))
Eq(F_80(x), F_81(x))
Eq(F_81(x), -F_55(x) + F_82(x))
Eq(F_82(x), F_83(x)/F_25(x))
Eq(F_83(x), F_52(x))
Eq(F_84(x), F_85(x) + F_91(x))
Eq(F_85(x), F_51(x) + F_86(x))
Eq(F_86(x), F_87(x))
Eq(F_87(x), F_25(x)*F_85(x)*F_88(x))
Eq(F_88(x), F_0(x) + F_89(x))
Eq(F_89(x), F_90(x))
Eq(F_90(x), F_25(x)*F_79(x))
Eq(F_91(x), F_92(x))
Eq(F_92(x), F_93(x))
Eq(F_93(x), F_25(x)*F_84(x)*F_88(x))
Eq(F_94(x), F_113(x)*F_95(x))
Eq(F_95(x), F_96(x))
Eq(F_96(x), F_25(x)*F_88(x)*F_97(x))
Eq(F_97(x), F_98(x)/F_111(x))
Eq(F_98(x), -F_101(x) + F_99(x))
Eq(F_99(x), F_100(x)/F_25(x))
Eq(F_100(x), F_47(x))
Eq(F_101(x), F_102(x)*F_88(x))
Eq(F_102(x), F_103(x) + F_105(x))
Eq(F_103(x), F_0(x)*F_104(x))
Eq(F_104(x), F_51(x) + F_92(x))
Eq(F_105(x), -F_106(x) + F_45(x))
Eq(F_106(x), F_107(x) + F_109(x))
Eq(F_107(x), F_108(x)/F_25(x))
Eq(F_108(x), F_10(x))
Eq(F_109(x), F_110(x))
Eq(F_110(x), F_0(x)*F_92(x))
Eq(F_111(x), F_112(x))
Eq(F_112(x), F_25(x)*F_88(x)**2)
Eq(F_113(x), F_114(x))
Eq(F_114(x), F_25(x)*F_79(x)*F_88(x))
Eq(F_115(x), F_116(x))
Eq(F_116(x), F_117(x)*F_25(x))
Eq(F_117(x), F_118(x) + F_119(x))
Eq(F_118(x), F_52(x)*F_66(x))
Eq(F_119(x), F_120(x) + F_121(x))
Eq(F_120(x), F_79(x)*F_92(x))
Eq(F_121(x), F_113(x)*F_86(x))
Eq(F_122(x), F_2(x) + F_89(x))
Eq(F_123(x), F_2(x) + F_6(x))
Eq(F_124(x), F_125(x) + F_22(x))
Eq(F_125(x), F_126(x))
Eq(F_126(x), F_122(x)*F_127(x)*F_25(x))
Eq(F_127(x), F_128(x)/F_25(x))
Eq(F_128(x), F_31(x))
Eq(F_129(x), F_130(x))
Eq(F_130(x), F_102(x)*F_25(x))
Eq(F_131(x), F_132(x) - F_142(x))
Eq(F_132(x), F_133(x)/F_25(x))
Eq(F_133(x), F_134(x))
Eq(F_134(x), F_135(x) - F_139(x))
Eq(F_135(x), F_136(x))
Eq(F_136(x), F_137(x)*F_25(x))
Eq(F_137(x), F_138(x)/F_25(x))
Eq(F_138(x), F_124(x))
Eq(F_139(x), F_140(x))
Eq(F_140(x), F_141(x) + F_5(x))
Eq(F_141(x), F_34(x))
Eq(F_142(x), F_143(x))
Eq(F_143(x), F_125(x) + F_31(x))
Eq(F_144(x), F_145(x))
Eq(F_145(x), F_122(x)*F_25(x)*F_97(x))
Pack JSON:
{"name": "point_placements_req_corrob", "initial_strats": [{"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 4, 1, 3], [0, 2, 4, 3, 1], [0, 4, 2, 1, 3], [0, 4, 2, 3, 1], [0, 4, 3, 2, 1], [2, 0, 4, 1, 3], [2, 0, 4, 3, 1]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 4, 1, 3], [0, 2, 4, 3, 1], [0, 4, 2, 1, 3], [0, 4, 2, 3, 1], [0, 4, 3, 2, 1], [2, 0, 4, 1, 3], [2, 0, 4, 3, 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, 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, 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": [2, 0, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 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": [[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], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 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, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 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, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[2, 0], [2, 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{"patt": [0, 3, 2, 1], "pos": [[0, 2], [0, 3], [0, 3], [0, 3]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 2], [0, 1], [0, 2], [0, 2]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 3], [0, 1], [0, 3], [0, 3]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 3], [0, 2], [0, 3], [0, 3]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 1], [0, 1], [0, 2], [0, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 1], [0, 1], [0, 3], [0, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 2], [0, 2], [0, 3], [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, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 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, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 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, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 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, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionInferralStrategy", "gps": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 3]]}]}}, "idx": 0}]}, {"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"}}]}

Specification 2
Strategy pack name: point_placements_tracked_fusion_tracked_component_fusion_symmetries
Tree: http://permpal.com/tree/24680/
System of equations in Maple syntax:
F[0,x] = F[1,x]+F[2,x]
F[1,x] = 1
F[2,x] = F[3,x]
F[3,x] = F[4,x]*F[55,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[2,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[55,x]*F[8,x]
F[8,x] = F[18,x]+F[9,x]
F[9,x] = F[10,x]+F[5,x]
F[10,x] = F[11,x]
F[11,x] = F[12,x]*F[55,x]
F[12,x] = F[13,x]+F[14,x]
F[13,x] = F[4,x]*F[5,x]
F[14,x] = F[15,x]
F[15,x] = F[16,x]*F[55,x]*F[81,x]
F[16,x] = 1/F[55,x]*F[17,x]
F[17,x] = F[18,x]
F[18,x] = F[19,x,1]
F[20,x,k[0]] = F[19,x,k[0]]+F[203,x]
F[20,x,k[0]] = F[190,x,k[0]]+F[21,x,k[0]]
F[21,x,k[0]] = F[187,x,k[0]]+F[22,x,k[0]]
F[22,x,k[0]] = F[23,x,k[0]]+F[36,x,k[0]]
F[23,x,k[0]] = F[1,x]+F[24,x,k[0]]
F[24,x,k[0]] = F[25,x,k[0]]
F[25,x,k[0]] = F[26,x,k[0]]*F[27,x,k[0]]
F[26,x,k[0]] = k[0]*x
F[27,x,k[0]] = F[28,x,k[0]]+F[31,x,k[0]]
F[28,x,k[0]] = F[1,x]+F[29,x,k[0]]
F[29,x,k[0]] = F[30,x,k[0]]
F[30,x,k[0]] = F[26,x,k[0]]*F[28,x,k[0]]
F[31,x,k[0]] = F[26,x,k[0]]+F[32,x,k[0]]
F[32,x,k[0]] = F[33,x]+F[34,x,k[0]]+F[35,x,k[0]]
F[33,x] = 0
F[34,x,k[0]] = F[26,x,k[0]]*F[29,x,k[0]]
F[35,x,k[0]] = F[26,x,k[0]]*F[31,x,k[0]]
F[36,x,k[0]] = F[2,x]+F[37,x,k[0]]
F[37,x,k[0]] = F[38,x,k[0]]
F[38,x,k[0]] = F[26,x,k[0]]*F[39,x,k[0]]
F[39,x,k[0]] = F[40,x,k[0]]+F[46,x,k[0]]
F[40,x,k[0]] = F[41,x,1,k[0]]
F[41,x,k[0],k[1]] = (F[42,x,k[0]*k[1]]*k[0]-F[42,x,k[1]])/(-1+k[0])
F[42,x,k[0]] = F[2,x]+F[43,x,k[0]]
F[43,x,k[0]] = F[44,x,k[0]]
F[44,x,k[0]] = F[26,x,k[0]]*F[45,x,k[0]]
F[45,x,k[0]] = F[42,x,k[0]]+F[46,x,k[0]]
F[47,x,k[0]] = F[46,x,k[0]]+F[77,x,k[0]]
F[47,x,k[0]] = F[48,x,k[0]]+F[49,x,k[0]]
F[48,x,k[0]] = F[0,x]*F[28,x,k[0]]
F[49,x,k[0]] = F[50,x,k[0]]
F[50,x,k[0]] = F[28,x,k[0]]*F[51,x,k[0]]*F[55,x]
F[51,x,k[0]] = F[177,x,k[0]]+F[52,x,k[0]]
F[52,x,k[0]] = F[53,x,k[0]]+F[56,x,k[0]]
F[54,x,k[0]] = F[28,x,k[0]]*F[53,x,k[0]]*F[55,x]
F[54,x,k[0]] = F[42,x,k[0]]
F[55,x] = x
F[56,x,k[0]] = 1/(-1+k[0])*(F[57,x,k[0]]*k[0]-F[57,x,1])
F[57,x,k[0]] = F[58,x,k[0]]
F[58,x,k[0]] = F[55,x]*F[59,x,k[0]]
F[59,x,k[0]] = 1/(-1+k[0])*(F[60,x,k[0]]*k[0]-F[60,x,1])
F[60,x,k[0]] = F[61,x,k[0]]+F[62,x,k[0]]
F[61,x,k[0]] = F[28,x,k[0]]*F[4,x]
F[62,x,k[0]] = F[63,x,k[0]]
F[63,x,k[0]] = F[55,x]*F[64,x,k[0]]
F[65,x,k[0]] = F[55,x]*F[64,x,k[0]]
F[65,x,k[0]] = F[66,x,k[0]]
F[66,x,k[0]] = F[173,x,k[0]]+F[67,x,k[0]]
F[67,x,k[0]] = F[68,x,k[0]]
F[68,x,k[0]] = F[55,x]*F[69,x,k[0]]
F[70,x,k[0]] = F[26,x,k[0]]*F[69,x,k[0]]
F[70,x,k[0]] = F[71,x,k[0]]
F[72,x,k[0]] = F[165,x]+F[71,x,k[0]]
F[72,x,k[0]] = F[163,x,k[0]]+F[73,x,k[0]]
F[73,x,k[0]] = F[74,x,k[0]]
F[74,x,k[0]] = F[75,x,k[0]]+F[78,x,k[0]]
F[75,x,k[0]] = F[76,x,k[0]]
F[76,x,k[0]] = F[4,x]*F[77,x,k[0]]
F[77,x,k[0]] = F[28,x,k[0]]+F[42,x,k[0]]
F[78,x,k[0]] = F[79,x,k[0]]
F[79,x,k[0]] = F[55,x]*F[80,x,k[0]]*F[81,x]
F[80,x,k[0]] = F[59,x,k[0]]
F[81,x] = 1/F[123,x]/F[55,x]*F[82,x]
F[82,x] = F[83,x]
F[83,x] = -F[123,x]+F[84,x]
F[84,x] = F[0,x]+F[85,x]
F[85,x] = F[86,x]
F[86,x] = F[55,x]*F[87,x]
F[87,x] = 1/F[157,x]/F[55,x]*F[88,x]
F[88,x] = F[89,x]
F[89,x] = -F[95,x]+F[90,x]
F[90,x] = 1/F[55,x]*F[91,x]
F[91,x] = F[92,x]
F[92,x] = F[93,x]
F[93,x] = F[55,x]*F[94,x]
F[94,x] = F[104,x]+F[95,x]
F[95,x] = F[96,x]+F[97,x]
F[96,x] = F[0,x]+F[92,x]
F[97,x] = -F[104,x]+F[98,x]
F[98,x] = 1/F[55,x]*F[99,x]
F[99,x] = F[100,x]
F[100,x] = -F[2,x]+F[101,x]
F[101,x] = -F[0,x]+F[102,x]
F[102,x] = 1/F[55,x]*F[103,x]
F[103,x] = F[2,x]
F[104,x] = F[105,x]+F[149,x]
F[105,x] = F[106,x]
F[106,x] = F[0,x]*F[107,x]*F[55,x]
F[107,x] = 1/F[4,x]/F[55,x]*F[108,x]
F[108,x] = F[109,x]
F[109,x] = -F[112,x]+F[110,x]
F[110,x] = 1/F[55,x]*F[111,x]
F[111,x] = F[100,x]
F[112,x] = F[113,x]+F[114,x]
F[113,x] = F[102,x]*F[2,x]
F[114,x] = F[115,x]
F[115,x] = F[116,x]*F[55,x]
F[116,x] = F[117,x]+F[133,x]
F[117,x] = F[118,x]*F[4,x]
F[118,x] = F[119,x]+F[130,x]
F[119,x] = F[120,x]*F[87,x]
F[120,x] = F[121,x]
F[121,x] = F[122,x]*F[55,x]
F[122,x] = F[123,x]+F[126,x]
F[123,x] = F[1,x]+F[124,x]
F[124,x] = F[125,x]
F[125,x] = F[123,x]*F[55,x]
F[126,x] = F[127,x]+F[55,x]
F[127,x] = F[128,x]+F[129,x]+F[33,x]
F[128,x] = F[124,x]*F[55,x]
F[129,x] = F[126,x]*F[55,x]
F[130,x] = F[124,x]*F[131,x]
F[131,x] = F[132,x]
F[132,x] = F[55,x]*F[84,x]*F[87,x]
F[133,x] = F[134,x]+F[147,x]
F[134,x] = F[135,x]*F[87,x]
F[135,x] = F[136,x,1]
F[136,x,k[0]] = F[137,x,k[0]]+F[9,x]
F[137,x,k[0]] = F[138,x,k[0]]
F[138,x,k[0]] = F[139,x,k[0]]*F[26,x,k[0]]
F[139,x,k[0]] = F[140,x,k[0]]+F[142,x,k[0]]
F[140,x,k[0]] = F[141,x,1,k[0]]
F[141,x,k[0],k[1]] = (F[62,x,k[0]*k[1]]*k[0]-F[62,x,k[1]])/(-1+k[0])
F[143,x,k[0]] = F[142,x,k[0]]+F[145,x,k[0]]
F[144,x,k[0]] = F[143,x,k[0]]*F[26,x,k[0]]
F[144,x,k[0]] = F[19,x,k[0]]
F[145,x,k[0]] = F[146,x,1,k[0]]
F[146,x,k[0],k[1]] = (F[60,x,k[0]*k[1]]*k[0]-F[60,x,k[1]])/(-1+k[0])
F[147,x] = F[131,x]*F[148,x]
F[148,x] = F[62,x,1]
F[149,x] = F[150,x]
F[150,x] = F[151,x]*F[55,x]
F[151,x] = F[152,x]+F[153,x]
F[152,x] = F[107,x]*F[92,x]
F[153,x] = F[154,x]+F[162,x]
F[154,x] = F[155,x]*F[87,x]
F[155,x] = F[156,x]
F[156,x] = F[157,x]*F[55,x]*F[84,x]
F[157,x] = F[158,x]+F[161,x]
F[158,x] = F[159,x]+F[96,x]
F[159,x] = F[160,x]
F[160,x] = F[158,x]*F[55,x]*F[84,x]
F[161,x] = F[155,x]
F[162,x] = F[131,x]*F[159,x]
F[163,x,k[0]] = F[164,x,k[0]]
F[164,x,k[0]] = F[55,x]*F[80,x,k[0]]*F[84,x]
F[165,x] = 1/F[55,x]*F[166,x]
F[166,x] = F[167,x]
F[167,x] = F[168,x]+F[169,x]
F[168,x] = F[0,x]*F[2,x]
F[169,x] = F[170,x]
F[170,x] = F[171,x]*F[172,x]*F[55,x]
F[171,x] = F[60,x,1]
F[172,x] = F[124,x]+F[83,x]
F[173,x,k[0]] = F[174,x,k[0]]*F[2,x]
F[175,x,k[0]] = F[174,x,k[0]]+F[47,x,k[0]]
F[176,x,k[0]] = F[175,x,k[0]]*F[55,x]
F[176,x,k[0]] = F[42,x,k[0]]
F[177,x,k[0]] = F[178,x,k[0]]
F[178,x,k[0]] = F[179,x,k[0]]*F[55,x]
F[179,x,k[0]] = 1/(-1+k[0])*(F[180,x,k[0]]*k[0]-F[180,x,1])
F[180,x,k[0]] = F[181,x]+F[183,x,k[0]]
F[181,x] = 1/F[55,x]*F[182,x]
F[182,x] = F[9,x]
F[183,x,k[0]] = F[184,x,k[0]]
F[184,x,k[0]] = F[185,x,k[0]]*F[26,x,k[0]]
F[186,x,k[0]] = F[185,x,k[0]]*F[55,x]
F[186,x,k[0]] = F[142,x,k[0]]
F[187,x,k[0]] = F[188,x,k[0]]
F[188,x,k[0]] = F[189,x,k[0]]*F[55,x]
F[189,x,k[0]] = 1/(-1+k[0])*(F[20,x,k[0]]*k[0]-F[20,x,1])
F[190,x,k[0]] = F[191,x,k[0]]+F[192,x,k[0]]
F[191,x,k[0]] = F[23,x,k[0]]*F[5,x]
F[192,x,k[0]] = F[193,x,k[0]]
F[193,x,k[0]] = F[194,x,k[0]]*F[55,x]
F[194,x,k[0]] = F[195,x,k[0]]+F[198,x,k[0]]
F[195,x,k[0]] = F[196,x,k[0]]*F[5,x]
F[197,x,k[0]] = F[196,x,k[0]]*F[55,x]
F[197,x,k[0]] = F[36,x,k[0]]
F[198,x,k[0]] = F[199,x,k[0]]
F[199,x,k[0]] = F[200,x,k[0]]*F[55,x]*F[81,x]
F[201,x,k[0]] = F[200,x,k[0]]*F[26,x,k[0]]
F[201,x,k[0]] = F[202,x,k[0]]
F[202,x,k[0]] = -k[0]*(F[19,x,1]-F[19,x,k[0]])/(-1+k[0])
F[203,x] = F[4,x]+F[9,x]
System of equations in latex syntax:
F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)
F_{1}\! \left(x \right) = 1
F_{2}\! \left(x \right) = F_{3}\! \left(x \right)
F_{3}\! \left(x \right) = F_{4}\! \left(x \right) F_{55}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{2}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{55}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{18}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{5}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right) F_{55}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)+F_{14}\! \left(x \right)
F_{13}\! \left(x \right) = F_{4}\! \left(x \right) F_{5}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right) F_{55}\! \left(x \right) F_{81}\! \left(x \right)
F_{16}\! \left(x \right) = \frac{F_{17}\! \left(x \right)}{F_{55}\! \left(x \right)}
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x , 1\right)
F_{20}\! \left(x , y\right) = F_{19}\! \left(x , y\right)+F_{203}\! \left(x \right)
F_{20}\! \left(x , y\right) = F_{190}\! \left(x , y\right)+F_{21}\! \left(x , y\right)
F_{21}\! \left(x , y\right) = F_{187}\! \left(x , y\right)+F_{22}\! \left(x , y\right)
F_{22}\! \left(x , y\right) = F_{23}\! \left(x , y\right)+F_{36}\! \left(x , y\right)
F_{23}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{24}\! \left(x , y\right)
F_{24}\! \left(x , y\right) = F_{25}\! \left(x , y\right)
F_{25}\! \left(x , y\right) = F_{26}\! \left(x , y\right) F_{27}\! \left(x , y\right)
F_{26}\! \left(x , y\right) = y x
F_{27}\! \left(x , y\right) = F_{28}\! \left(x , y\right)+F_{31}\! \left(x , y\right)
F_{28}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{29}\! \left(x , y\right)
F_{29}\! \left(x , y\right) = F_{30}\! \left(x , y\right)
F_{30}\! \left(x , y\right) = F_{26}\! \left(x , y\right) F_{28}\! \left(x , y\right)
F_{31}\! \left(x , y\right) = F_{26}\! \left(x , y\right)+F_{32}\! \left(x , y\right)
F_{32}\! \left(x , y\right) = F_{33}\! \left(x \right)+F_{34}\! \left(x , y\right)+F_{35}\! \left(x , y\right)
F_{33}\! \left(x \right) = 0
F_{34}\! \left(x , y\right) = F_{26}\! \left(x , y\right) F_{29}\! \left(x , y\right)
F_{35}\! \left(x , y\right) = F_{26}\! \left(x , y\right) F_{31}\! \left(x , y\right)
F_{36}\! \left(x , y\right) = F_{2}\! \left(x \right)+F_{37}\! \left(x , y\right)
F_{37}\! \left(x , y\right) = F_{38}\! \left(x , y\right)
F_{38}\! \left(x , y\right) = F_{26}\! \left(x , y\right) F_{39}\! \left(x , y\right)
F_{39}\! \left(x , y\right) = F_{40}\! \left(x , y\right)+F_{46}\! \left(x , y\right)
F_{40}\! \left(x , y\right) = F_{41}\! \left(x , 1, y\right)
F_{41}\! \left(x , y , z\right) = -\frac{-F_{42}\! \left(x , y z \right) y +F_{42}\! \left(x , z\right)}{-1+y}
F_{42}\! \left(x , y\right) = F_{2}\! \left(x \right)+F_{43}\! \left(x , y\right)
F_{43}\! \left(x , y\right) = F_{44}\! \left(x , y\right)
F_{44}\! \left(x , y\right) = F_{26}\! \left(x , y\right) F_{45}\! \left(x , y\right)
F_{45}\! \left(x , y\right) = F_{42}\! \left(x , y\right)+F_{46}\! \left(x , y\right)
F_{47}\! \left(x , y\right) = F_{46}\! \left(x , y\right)+F_{77}\! \left(x , y\right)
F_{47}\! \left(x , y\right) = F_{48}\! \left(x , y\right)+F_{49}\! \left(x , y\right)
F_{48}\! \left(x , y\right) = F_{0}\! \left(x \right) F_{28}\! \left(x , y\right)
F_{49}\! \left(x , y\right) = F_{50}\! \left(x , y\right)
F_{50}\! \left(x , y\right) = F_{28}\! \left(x , y\right) F_{51}\! \left(x , y\right) F_{55}\! \left(x \right)
F_{51}\! \left(x , y\right) = F_{177}\! \left(x , y\right)+F_{52}\! \left(x , y\right)
F_{52}\! \left(x , y\right) = F_{53}\! \left(x , y\right)+F_{56}\! \left(x , y\right)
F_{54}\! \left(x , y\right) = F_{28}\! \left(x , y\right) F_{53}\! \left(x , y\right) F_{55}\! \left(x \right)
F_{54}\! \left(x , y\right) = F_{42}\! \left(x , y\right)
F_{55}\! \left(x \right) = x
F_{56}\! \left(x , y\right) = -\frac{-F_{57}\! \left(x , y\right) y +F_{57}\! \left(x , 1\right)}{-1+y}
F_{57}\! \left(x , y\right) = F_{58}\! \left(x , y\right)
F_{58}\! \left(x , y\right) = F_{55}\! \left(x \right) F_{59}\! \left(x , y\right)
F_{59}\! \left(x , y\right) = -\frac{-F_{60}\! \left(x , y\right) y +F_{60}\! \left(x , 1\right)}{-1+y}
F_{60}\! \left(x , y\right) = F_{61}\! \left(x , y\right)+F_{62}\! \left(x , y\right)
F_{61}\! \left(x , y\right) = F_{28}\! \left(x , y\right) F_{4}\! \left(x \right)
F_{62}\! \left(x , y\right) = F_{63}\! \left(x , y\right)
F_{63}\! \left(x , y\right) = F_{55}\! \left(x \right) F_{64}\! \left(x , y\right)
F_{65}\! \left(x , y\right) = F_{55}\! \left(x \right) F_{64}\! \left(x , y\right)
F_{65}\! \left(x , y\right) = F_{66}\! \left(x , y\right)
F_{66}\! \left(x , y\right) = F_{173}\! \left(x , y\right)+F_{67}\! \left(x , y\right)
F_{67}\! \left(x , y\right) = F_{68}\! \left(x , y\right)
F_{68}\! \left(x , y\right) = F_{55}\! \left(x \right) F_{69}\! \left(x , y\right)
F_{70}\! \left(x , y\right) = F_{26}\! \left(x , y\right) F_{69}\! \left(x , y\right)
F_{70}\! \left(x , y\right) = F_{71}\! \left(x , y\right)
F_{72}\! \left(x , y\right) = F_{165}\! \left(x \right)+F_{71}\! \left(x , y\right)
F_{72}\! \left(x , y\right) = F_{163}\! \left(x , y\right)+F_{73}\! \left(x , y\right)
F_{73}\! \left(x , y\right) = F_{74}\! \left(x , y\right)
F_{74}\! \left(x , y\right) = F_{75}\! \left(x , y\right)+F_{78}\! \left(x , y\right)
F_{75}\! \left(x , y\right) = F_{76}\! \left(x , y\right)
F_{76}\! \left(x , y\right) = F_{4}\! \left(x \right) F_{77}\! \left(x , y\right)
F_{77}\! \left(x , y\right) = F_{28}\! \left(x , y\right)+F_{42}\! \left(x , y\right)
F_{78}\! \left(x , y\right) = F_{79}\! \left(x , y\right)
F_{79}\! \left(x , y\right) = F_{55}\! \left(x \right) F_{80}\! \left(x , y\right) F_{81}\! \left(x \right)
F_{80}\! \left(x , y\right) = F_{59}\! \left(x , y\right)
F_{81}\! \left(x \right) = \frac{F_{82}\! \left(x \right)}{F_{123}\! \left(x \right) F_{55}\! \left(x \right)}
F_{82}\! \left(x \right) = F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = -F_{123}\! \left(x \right)+F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{0}\! \left(x \right)+F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{55}\! \left(x \right) F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = \frac{F_{88}\! \left(x \right)}{F_{157}\! \left(x \right) F_{55}\! \left(x \right)}
F_{88}\! \left(x \right) = F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = -F_{95}\! \left(x \right)+F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = \frac{F_{91}\! \left(x \right)}{F_{55}\! \left(x \right)}
F_{91}\! \left(x \right) = F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{55}\! \left(x \right) F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{104}\! \left(x \right)+F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{96}\! \left(x \right)+F_{97}\! \left(x \right)
F_{96}\! \left(x \right) = F_{0}\! \left(x \right)+F_{92}\! \left(x \right)
F_{97}\! \left(x \right) = -F_{104}\! \left(x \right)+F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = \frac{F_{99}\! \left(x \right)}{F_{55}\! \left(x \right)}
F_{99}\! \left(x \right) = F_{100}\! \left(x \right)
F_{100}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{101}\! \left(x \right)
F_{101}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{102}\! \left(x \right)
F_{102}\! \left(x \right) = \frac{F_{103}\! \left(x \right)}{F_{55}\! \left(x \right)}
F_{103}\! \left(x \right) = F_{2}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x \right)+F_{149}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x \right)
F_{106}\! \left(x \right) = F_{0}\! \left(x \right) F_{107}\! \left(x \right) F_{55}\! \left(x \right)
F_{107}\! \left(x \right) = \frac{F_{108}\! \left(x \right)}{F_{4}\! \left(x \right) F_{55}\! \left(x \right)}
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)
F_{109}\! \left(x \right) = -F_{112}\! \left(x \right)+F_{110}\! \left(x \right)
F_{110}\! \left(x \right) = \frac{F_{111}\! \left(x \right)}{F_{55}\! \left(x \right)}
F_{111}\! \left(x \right) = F_{100}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)+F_{114}\! \left(x \right)
F_{113}\! \left(x \right) = F_{102}\! \left(x \right) F_{2}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right) F_{55}\! \left(x \right)
F_{116}\! \left(x \right) = F_{117}\! \left(x \right)+F_{133}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right) F_{4}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right)+F_{130}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right) F_{87}\! \left(x \right)
F_{120}\! \left(x \right) = F_{121}\! \left(x \right)
F_{121}\! \left(x \right) = F_{122}\! \left(x \right) F_{55}\! \left(x \right)
F_{122}\! \left(x \right) = F_{123}\! \left(x \right)+F_{126}\! \left(x \right)
F_{123}\! \left(x \right) = F_{1}\! \left(x \right)+F_{124}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)
F_{125}\! \left(x \right) = F_{123}\! \left(x \right) F_{55}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right)+F_{55}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right)+F_{129}\! \left(x \right)+F_{33}\! \left(x \right)
F_{128}\! \left(x \right) = F_{124}\! \left(x \right) F_{55}\! \left(x \right)
F_{129}\! \left(x \right) = F_{126}\! \left(x \right) F_{55}\! \left(x \right)
F_{130}\! \left(x \right) = F_{124}\! \left(x \right) F_{131}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right)
F_{132}\! \left(x \right) = F_{55}\! \left(x \right) F_{84}\! \left(x \right) F_{87}\! \left(x \right)
F_{133}\! \left(x \right) = F_{134}\! \left(x \right)+F_{147}\! \left(x \right)
F_{134}\! \left(x \right) = F_{135}\! \left(x \right) F_{87}\! \left(x \right)
F_{135}\! \left(x \right) = F_{136}\! \left(x , 1\right)
F_{136}\! \left(x , y\right) = F_{137}\! \left(x , y\right)+F_{9}\! \left(x \right)
F_{137}\! \left(x , y\right) = F_{138}\! \left(x , y\right)
F_{138}\! \left(x , y\right) = F_{139}\! \left(x , y\right) F_{26}\! \left(x , y\right)
F_{139}\! \left(x , y\right) = F_{140}\! \left(x , y\right)+F_{142}\! \left(x , y\right)
F_{140}\! \left(x , y\right) = F_{141}\! \left(x , 1, y\right)
F_{141}\! \left(x , y , z\right) = -\frac{-F_{62}\! \left(x , y z \right) y +F_{62}\! \left(x , z\right)}{-1+y}
F_{143}\! \left(x , y\right) = F_{142}\! \left(x , y\right)+F_{145}\! \left(x , y\right)
F_{144}\! \left(x , y\right) = F_{143}\! \left(x , y\right) F_{26}\! \left(x , y\right)
F_{144}\! \left(x , y\right) = F_{19}\! \left(x , y\right)
F_{145}\! \left(x , y\right) = F_{146}\! \left(x , 1, y\right)
F_{146}\! \left(x , y , z\right) = -\frac{-F_{60}\! \left(x , y z \right) y +F_{60}\! \left(x , z\right)}{-1+y}
F_{147}\! \left(x \right) = F_{131}\! \left(x \right) F_{148}\! \left(x \right)
F_{148}\! \left(x \right) = F_{62}\! \left(x , 1\right)
F_{149}\! \left(x \right) = F_{150}\! \left(x \right)
F_{150}\! \left(x \right) = F_{151}\! \left(x \right) F_{55}\! \left(x \right)
F_{151}\! \left(x \right) = F_{152}\! \left(x \right)+F_{153}\! \left(x \right)
F_{152}\! \left(x \right) = F_{107}\! \left(x \right) F_{92}\! \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_{87}\! \left(x \right)
F_{155}\! \left(x \right) = F_{156}\! \left(x \right)
F_{156}\! \left(x \right) = F_{157}\! \left(x \right) F_{55}\! \left(x \right) F_{84}\! \left(x \right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right)+F_{161}\! \left(x \right)
F_{158}\! \left(x \right) = F_{159}\! \left(x \right)+F_{96}\! \left(x \right)
F_{159}\! \left(x \right) = F_{160}\! \left(x \right)
F_{160}\! \left(x \right) = F_{158}\! \left(x \right) F_{55}\! \left(x \right) F_{84}\! \left(x \right)
F_{161}\! \left(x \right) = F_{155}\! \left(x \right)
F_{162}\! \left(x \right) = F_{131}\! \left(x \right) F_{159}\! \left(x \right)
F_{163}\! \left(x , y\right) = F_{164}\! \left(x , y\right)
F_{164}\! \left(x , y\right) = F_{55}\! \left(x \right) F_{80}\! \left(x , y\right) F_{84}\! \left(x \right)
F_{165}\! \left(x \right) = \frac{F_{166}\! \left(x \right)}{F_{55}\! \left(x \right)}
F_{166}\! \left(x \right) = F_{167}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right)+F_{169}\! \left(x \right)
F_{168}\! \left(x \right) = F_{0}\! \left(x \right) F_{2}\! \left(x \right)
F_{169}\! \left(x \right) = F_{170}\! \left(x \right)
F_{170}\! \left(x \right) = F_{171}\! \left(x \right) F_{172}\! \left(x \right) F_{55}\! \left(x \right)
F_{171}\! \left(x \right) = F_{60}\! \left(x , 1\right)
F_{172}\! \left(x \right) = F_{124}\! \left(x \right)+F_{83}\! \left(x \right)
F_{173}\! \left(x , y\right) = F_{174}\! \left(x , y\right) F_{2}\! \left(x \right)
F_{175}\! \left(x , y\right) = F_{174}\! \left(x , y\right)+F_{47}\! \left(x , y\right)
F_{176}\! \left(x , y\right) = F_{175}\! \left(x , y\right) F_{55}\! \left(x \right)
F_{176}\! \left(x , y\right) = F_{42}\! \left(x , y\right)
F_{177}\! \left(x , y\right) = F_{178}\! \left(x , y\right)
F_{178}\! \left(x , y\right) = F_{179}\! \left(x , y\right) F_{55}\! \left(x \right)
F_{179}\! \left(x , y\right) = -\frac{-F_{180}\! \left(x , y\right) y +F_{180}\! \left(x , 1\right)}{-1+y}
F_{180}\! \left(x , y\right) = F_{181}\! \left(x \right)+F_{183}\! \left(x , y\right)
F_{181}\! \left(x \right) = \frac{F_{182}\! \left(x \right)}{F_{55}\! \left(x \right)}
F_{182}\! \left(x \right) = F_{9}\! \left(x \right)
F_{183}\! \left(x , y\right) = F_{184}\! \left(x , y\right)
F_{184}\! \left(x , y\right) = F_{185}\! \left(x , y\right) F_{26}\! \left(x , y\right)
F_{186}\! \left(x , y\right) = F_{185}\! \left(x , y\right) F_{55}\! \left(x \right)
F_{186}\! \left(x , y\right) = F_{142}\! \left(x , y\right)
F_{187}\! \left(x , y\right) = F_{188}\! \left(x , y\right)
F_{188}\! \left(x , y\right) = F_{189}\! \left(x , y\right) F_{55}\! \left(x \right)
F_{189}\! \left(x , y\right) = -\frac{-y F_{20}\! \left(x , y\right)+F_{20}\! \left(x , 1\right)}{-1+y}
F_{190}\! \left(x , y\right) = F_{191}\! \left(x , y\right)+F_{192}\! \left(x , y\right)
F_{191}\! \left(x , y\right) = F_{23}\! \left(x , y\right) F_{5}\! \left(x \right)
F_{192}\! \left(x , y\right) = F_{193}\! \left(x , y\right)
F_{193}\! \left(x , y\right) = F_{194}\! \left(x , y\right) F_{55}\! \left(x \right)
F_{194}\! \left(x , y\right) = F_{195}\! \left(x , y\right)+F_{198}\! \left(x , y\right)
F_{195}\! \left(x , y\right) = F_{196}\! \left(x , y\right) F_{5}\! \left(x \right)
F_{197}\! \left(x , y\right) = F_{196}\! \left(x , y\right) F_{55}\! \left(x \right)
F_{197}\! \left(x , y\right) = F_{36}\! \left(x , y\right)
F_{198}\! \left(x , y\right) = F_{199}\! \left(x , y\right)
F_{199}\! \left(x , y\right) = F_{200}\! \left(x , y\right) F_{55}\! \left(x \right) F_{81}\! \left(x \right)
F_{201}\! \left(x , y\right) = F_{200}\! \left(x , y\right) F_{26}\! \left(x , y\right)
F_{201}\! \left(x , y\right) = F_{202}\! \left(x , y\right)
F_{202}\! \left(x , y\right) = -\frac{y \left(F_{19}\! \left(x , 1\right)-F_{19}\! \left(x , y\right)\right)}{-1+y}
F_{203}\! \left(x \right) = F_{4}\! \left(x \right)+F_{9}\! \left(x \right)
System of equations in sympy syntax:
Eq(F_0(x), F_1(x) + F_2(x))
Eq(F_1(x), 1)
Eq(F_2(x), F_3(x))
Eq(F_3(x), F_4(x)*F_55(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_2(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_55(x)*F_8(x))
Eq(F_8(x), F_18(x) + F_9(x))
Eq(F_9(x), F_10(x) + F_5(x))
Eq(F_10(x), F_11(x))
Eq(F_11(x), F_12(x)*F_55(x))
Eq(F_12(x), F_13(x) + F_14(x))
Eq(F_13(x), F_4(x)*F_5(x))
Eq(F_14(x), F_15(x))
Eq(F_15(x), F_16(x)*F_55(x)*F_81(x))
Eq(F_16(x), F_17(x)/F_55(x))
Eq(F_17(x), F_18(x))
Eq(F_18(x), F_19(x, 1))
Eq(F_20(x, k_0), F_19(x, k_0) + F_203(x))
Eq(F_20(x, k_0), F_190(x, k_0) + F_21(x, k_0))
Eq(F_21(x, k_0), F_187(x, k_0) + F_22(x, k_0))
Eq(F_22(x, k_0), F_23(x, k_0) + F_36(x, k_0))
Eq(F_23(x, k_0), F_1(x) + F_24(x, k_0))
Eq(F_24(x, k_0), F_25(x, k_0))
Eq(F_25(x, k_0), F_26(x, k_0)*F_27(x, k_0))
Eq(F_26(x, k_0), k_0*x)
Eq(F_27(x, k_0), F_28(x, k_0) + F_31(x, k_0))
Eq(F_28(x, k_0), F_1(x) + F_29(x, k_0))
Eq(F_29(x, k_0), F_30(x, k_0))
Eq(F_30(x, k_0), F_26(x, k_0)*F_28(x, k_0))
Eq(F_31(x, k_0), F_26(x, k_0) + F_32(x, k_0))
Eq(F_32(x, k_0), F_33(x) + F_34(x, k_0) + F_35(x, k_0))
Eq(F_33(x), 0)
Eq(F_34(x, k_0), F_26(x, k_0)*F_29(x, k_0))
Eq(F_35(x, k_0), F_26(x, k_0)*F_31(x, k_0))
Eq(F_36(x, k_0), F_2(x) + F_37(x, k_0))
Eq(F_37(x, k_0), F_38(x, k_0))
Eq(F_38(x, k_0), F_26(x, k_0)*F_39(x, k_0))
Eq(F_39(x, k_0), F_40(x, k_0) + F_46(x, k_0))
Eq(F_40(x, k_0), F_41(x, 1, k_0))
Eq(F_41(x, k_0, k_1), (-k_0*k_1*F_42(x, k_0*k_1) + k_1*F_42(x, k_1))/(-k_0*k_1 + k_1))
Eq(F_42(x, k_0), F_2(x) + F_43(x, k_0))
Eq(F_43(x, k_0), F_44(x, k_0))
Eq(F_44(x, k_0), F_26(x, k_0)*F_45(x, k_0))
Eq(F_45(x, k_0), F_42(x, k_0) + F_46(x, k_0))
Eq(F_47(x, k_0), F_46(x, k_0) + F_77(x, k_0))
Eq(F_47(x, k_0), F_48(x, k_0) + F_49(x, k_0))
Eq(F_48(x, k_0), F_0(x)*F_28(x, k_0))
Eq(F_49(x, k_0), F_50(x, k_0))
Eq(F_50(x, k_0), F_28(x, k_0)*F_51(x, k_0)*F_55(x))
Eq(F_51(x, k_0), F_177(x, k_0) + F_52(x, k_0))
Eq(F_52(x, k_0), F_53(x, k_0) + F_56(x, k_0))
Eq(F_54(x, k_0), F_28(x, k_0)*F_53(x, k_0)*F_55(x))
Eq(F_54(x, k_0), F_42(x, k_0))
Eq(F_55(x), x)
Eq(F_56(x, k_0), (k_0*F_57(x, k_0) - F_57(x, 1))/(k_0 - 1))
Eq(F_57(x, k_0), F_58(x, k_0))
Eq(F_58(x, k_0), F_55(x)*F_59(x, k_0))
Eq(F_59(x, k_0), (k_0*F_60(x, k_0) - F_60(x, 1))/(k_0 - 1))
Eq(F_60(x, k_0), F_61(x, k_0) + F_62(x, k_0))
Eq(F_61(x, k_0), F_28(x, k_0)*F_4(x))
Eq(F_62(x, k_0), F_63(x, k_0))
Eq(F_63(x, k_0), F_55(x)*F_64(x, k_0))
Eq(F_65(x, k_0), F_55(x)*F_64(x, k_0))
Eq(F_65(x, k_0), F_66(x, k_0))
Eq(F_66(x, k_0), F_173(x, k_0) + F_67(x, k_0))
Eq(F_67(x, k_0), F_68(x, k_0))
Eq(F_68(x, k_0), F_55(x)*F_69(x, k_0))
Eq(F_70(x, k_0), F_26(x, k_0)*F_69(x, k_0))
Eq(F_70(x, k_0), F_71(x, k_0))
Eq(F_72(x, k_0), F_165(x) + F_71(x, k_0))
Eq(F_72(x, k_0), F_163(x, k_0) + F_73(x, k_0))
Eq(F_73(x, k_0), F_74(x, k_0))
Eq(F_74(x, k_0), F_75(x, k_0) + F_78(x, k_0))
Eq(F_75(x, k_0), F_76(x, k_0))
Eq(F_76(x, k_0), F_4(x)*F_77(x, k_0))
Eq(F_77(x, k_0), F_28(x, k_0) + F_42(x, k_0))
Eq(F_78(x, k_0), F_79(x, k_0))
Eq(F_79(x, k_0), F_55(x)*F_80(x, k_0)*F_81(x))
Eq(F_80(x, k_0), F_59(x, k_0))
Eq(F_81(x), F_82(x)/(F_123(x)*F_55(x)))
Eq(F_82(x), F_83(x))
Eq(F_83(x), -F_123(x) + F_84(x))
Eq(F_84(x), F_0(x) + F_85(x))
Eq(F_85(x), F_86(x))
Eq(F_86(x), F_55(x)*F_87(x))
Eq(F_87(x), F_88(x)/(F_157(x)*F_55(x)))
Eq(F_88(x), F_89(x))
Eq(F_89(x), F_90(x) - F_95(x))
Eq(F_90(x), F_91(x)/F_55(x))
Eq(F_91(x), F_92(x))
Eq(F_92(x), F_93(x))
Eq(F_93(x), F_55(x)*F_94(x))
Eq(F_94(x), F_104(x) + F_95(x))
Eq(F_95(x), F_96(x) + F_97(x))
Eq(F_96(x), F_0(x) + F_92(x))
Eq(F_97(x), -F_104(x) + F_98(x))
Eq(F_98(x), F_99(x)/F_55(x))
Eq(F_99(x), F_100(x))
Eq(F_100(x), F_101(x) - F_2(x))
Eq(F_101(x), -F_0(x) + F_102(x))
Eq(F_102(x), F_103(x)/F_55(x))
Eq(F_103(x), F_2(x))
Eq(F_104(x), F_105(x) + F_149(x))
Eq(F_105(x), F_106(x))
Eq(F_106(x), F_0(x)*F_107(x)*F_55(x))
Eq(F_107(x), F_108(x)/(F_4(x)*F_55(x)))
Eq(F_108(x), F_109(x))
Eq(F_109(x), F_110(x) - F_112(x))
Eq(F_110(x), F_111(x)/F_55(x))
Eq(F_111(x), F_100(x))
Eq(F_112(x), F_113(x) + F_114(x))
Eq(F_113(x), F_102(x)*F_2(x))
Eq(F_114(x), F_115(x))
Eq(F_115(x), F_116(x)*F_55(x))
Eq(F_116(x), F_117(x) + F_133(x))
Eq(F_117(x), F_118(x)*F_4(x))
Eq(F_118(x), F_119(x) + F_130(x))
Eq(F_119(x), F_120(x)*F_87(x))
Eq(F_120(x), F_121(x))
Eq(F_121(x), F_122(x)*F_55(x))
Eq(F_122(x), F_123(x) + F_126(x))
Eq(F_123(x), F_1(x) + F_124(x))
Eq(F_124(x), F_125(x))
Eq(F_125(x), F_123(x)*F_55(x))
Eq(F_126(x), F_127(x) + F_55(x))
Eq(F_127(x), F_128(x) + F_129(x) + F_33(x))
Eq(F_128(x), F_124(x)*F_55(x))
Eq(F_129(x), F_126(x)*F_55(x))
Eq(F_130(x), F_124(x)*F_131(x))
Eq(F_131(x), F_132(x))
Eq(F_132(x), F_55(x)*F_84(x)*F_87(x))
Eq(F_133(x), F_134(x) + F_147(x))
Eq(F_134(x), F_135(x)*F_87(x))
Eq(F_135(x), F_136(x, 1))
Eq(F_136(x, k_0), F_137(x, k_0) + F_9(x))
Eq(F_137(x, k_0), F_138(x, k_0))
Eq(F_138(x, k_0), F_139(x, k_0)*F_26(x, k_0))
Eq(F_139(x, k_0), F_140(x, k_0) + F_142(x, k_0))
Eq(F_140(x, k_0), F_141(x, 1, k_0))
Eq(F_141(x, k_0, k_1), (-k_0*k_1*F_62(x, k_0*k_1) + k_1*F_62(x, k_1))/(-k_0*k_1 + k_1))
Eq(F_143(x, k_0), F_142(x, k_0) + F_145(x, k_0))
Eq(F_144(x, k_0), F_143(x, k_0)*F_26(x, k_0))
Eq(F_144(x, k_0), F_19(x, k_0))
Eq(F_145(x, k_0), F_146(x, 1, k_0))
Eq(F_146(x, k_0, k_1), (-k_0*k_1*F_60(x, k_0*k_1) + k_1*F_60(x, k_1))/(-k_0*k_1 + k_1))
Eq(F_147(x), F_131(x)*F_148(x))
Eq(F_148(x), F_62(x, 1))
Eq(F_149(x), F_150(x))
Eq(F_150(x), F_151(x)*F_55(x))
Eq(F_151(x), F_152(x) + F_153(x))
Eq(F_152(x), F_107(x)*F_92(x))
Eq(F_153(x), F_154(x) + F_162(x))
Eq(F_154(x), F_155(x)*F_87(x))
Eq(F_155(x), F_156(x))
Eq(F_156(x), F_157(x)*F_55(x)*F_84(x))
Eq(F_157(x), F_158(x) + F_161(x))
Eq(F_158(x), F_159(x) + F_96(x))
Eq(F_159(x), F_160(x))
Eq(F_160(x), F_158(x)*F_55(x)*F_84(x))
Eq(F_161(x), F_155(x))
Eq(F_162(x), F_131(x)*F_159(x))
Eq(F_163(x, k_0), F_164(x, k_0))
Eq(F_164(x, k_0), F_55(x)*F_80(x, k_0)*F_84(x))
Eq(F_165(x), F_166(x)/F_55(x))
Eq(F_166(x), F_167(x))
Eq(F_167(x), F_168(x) + F_169(x))
Eq(F_168(x), F_0(x)*F_2(x))
Eq(F_169(x), F_170(x))
Eq(F_170(x), F_171(x)*F_172(x)*F_55(x))
Eq(F_171(x), F_60(x, 1))
Eq(F_172(x), F_124(x) + F_83(x))
Eq(F_173(x, k_0), F_174(x, k_0)*F_2(x))
Eq(F_175(x, k_0), F_174(x, k_0) + F_47(x, k_0))
Eq(F_176(x, k_0), F_175(x, k_0)*F_55(x))
Eq(F_176(x, k_0), F_42(x, k_0))
Eq(F_177(x, k_0), F_178(x, k_0))
Eq(F_178(x, k_0), F_179(x, k_0)*F_55(x))
Eq(F_179(x, k_0), (k_0*F_180(x, k_0) - F_180(x, 1))/(k_0 - 1))
Eq(F_180(x, k_0), F_181(x) + F_183(x, k_0))
Eq(F_181(x), F_182(x)/F_55(x))
Eq(F_182(x), F_9(x))
Eq(F_183(x, k_0), F_184(x, k_0))
Eq(F_184(x, k_0), F_185(x, k_0)*F_26(x, k_0))
Eq(F_186(x, k_0), F_185(x, k_0)*F_55(x))
Eq(F_186(x, k_0), F_142(x, k_0))
Eq(F_187(x, k_0), F_188(x, k_0))
Eq(F_188(x, k_0), F_189(x, k_0)*F_55(x))
Eq(F_189(x, k_0), (k_0*F_20(x, k_0) - F_20(x, 1))/(k_0 - 1))
Eq(F_190(x, k_0), F_191(x, k_0) + F_192(x, k_0))
Eq(F_191(x, k_0), F_23(x, k_0)*F_5(x))
Eq(F_192(x, k_0), F_193(x, k_0))
Eq(F_193(x, k_0), F_194(x, k_0)*F_55(x))
Eq(F_194(x, k_0), F_195(x, k_0) + F_198(x, k_0))
Eq(F_195(x, k_0), F_196(x, k_0)*F_5(x))
Eq(F_197(x, k_0), F_196(x, k_0)*F_55(x))
Eq(F_197(x, k_0), F_36(x, k_0))
Eq(F_198(x, k_0), F_199(x, k_0))
Eq(F_199(x, k_0), F_200(x, k_0)*F_55(x)*F_81(x))
Eq(F_201(x, k_0), F_200(x, k_0)*F_26(x, k_0))
Eq(F_201(x, k_0), F_202(x, k_0))
Eq(F_202(x, k_0), -F_19(x, 1) + (-k_0*F_19(x, k_0) + F_19(x, 1))/(1 - k_0))
Eq(F_203(x), F_4(x) + F_9(x))
Pack JSON:
{"name": "point_placements_tracked_fusion_tracked_component_fusion_symmetries", "initial_strats": [{"class_module": "tilings.strategies.rearrange_assumption", "strategy_class": "RearrangeAssumptionFactory"}, {"class_module": "tilings.strategies.assumption_insertion", "strategy_class": "AddAssumptionFactory"}, {"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionFactory", "tracked": true}, {"class_module": "tilings.strategies.fusion.component", "strategy_class": "ComponentFusionFactory", "tracked": true, "isolation_level": null}, {"class_module": "tilings.strategies.detect_components", "strategy_class": "DetectComponentsStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": true, "workable": true}, {"class_module": "tilings.strategies.monotone_sliding", "strategy_class": "MonotoneSlidingFactory"}, {"class_module": "tilings.strategies.point_jumping", "strategy_class": "AssumptionAndPointJumpingFactory"}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "ComponentVerificationStrategy", "ignore_parent": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}], [{"class_module": "tilings.strategies.requirement_placement", "strategy_class": "FusableRowAndColumnPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "place_row": true, "place_col": true}]], "symmetries": [{"class_module": "tilings.strategies.symmetry", "strategy_class": "SymmetriesFactory", "basis": null}], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 4, 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, 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": [2, 0, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 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]]}, 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[1, 2], [1, 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, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [1, 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, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}], "requirements": [[{"patt": [0], "pos": [[0, 2]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[1, 2]]}]}]}], "strategy": {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionStrategy", "row_idx": null, "col_idx": 1, "tracked": true}}, {"class_module": "tilings.strategies.fusion.fusion", "rule_class": "FusionRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [1, 0], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[1, 0], [2, 0]]}, {"patt": [1, 0], "pos": [[2, 0], [2, 0]]}, {"patt": [0, 2, 4, 1, 3], "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], [1, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [2, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [2, 0], [2, 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, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [2, 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, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [2, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [2, 0], [2, 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, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [2, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[1, 0]]}]}, {"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[2, 0]]}]}]}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [1, 0], "pos": [[1, 0], [1, 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, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [1, 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, 0], [0, 0], [0, 0], [0, 0], [1, 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, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [1, 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, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[1, 0]]}]}]}], "strategy": {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionStrategy", "row_idx": null, "col_idx": 1, "tracked": true}}]}

Specification 3
Strategy pack name: point_placements_req_corrob
Tree: http://permpal.com/tree/25540/
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[26,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[2,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[26,x]*F[8,x]
F[8,x] = F[45,x]+F[9,x]
F[9,x] = F[10,x]+F[35,x]
F[10,x] = F[11,x]+F[2,x]
F[11,x] = F[12,x]
F[12,x] = F[13,x]*F[26,x]
F[13,x] = F[14,x]+F[15,x]
F[14,x] = F[2,x]*F[4,x]
F[15,x] = F[147,x]+F[16,x]
F[16,x] = F[17,x]+F[19,x]
F[17,x] = F[18,x]
F[18,x] = F[0,x]*F[2,x]
F[19,x] = F[20,x]
F[20,x] = F[21,x]*F[26,x]
F[21,x] = F[22,x]+F[27,x]
F[22,x] = F[2,x]*F[23,x]
F[23,x] = 1/F[26,x]*F[24,x]
F[24,x] = F[25,x]
F[25,x] = F[2,x]+F[6,x]
F[26,x] = x
F[27,x] = F[28,x]
F[28,x] = -F[137,x]+F[29,x]
F[29,x] = 1/F[26,x]*F[30,x]
F[30,x] = F[31,x]
F[31,x] = -F[135,x]+F[32,x]
F[32,x] = -F[130,x]+F[33,x]
F[33,x] = 1/F[26,x]*F[34,x]
F[34,x] = F[35,x]
F[35,x] = -F[126,x]+F[36,x]
F[36,x] = -F[129,x]+F[37,x]
F[37,x] = F[124,x]+F[38,x]
F[38,x] = F[39,x]+F[5,x]
F[39,x] = F[40,x]
F[40,x] = -F[5,x]+F[41,x]
F[41,x] = F[42,x]
F[42,x] = F[26,x]*F[43,x]
F[43,x] = 1/F[26,x]*F[44,x]
F[44,x] = F[45,x]
F[45,x] = F[14,x]+F[46,x]
F[46,x] = F[47,x]
F[47,x] = F[26,x]*F[48,x]*F[50,x]
F[48,x] = 1/F[26,x]*F[49,x]
F[49,x] = F[9,x]
F[50,x] = F[2,x]+F[51,x]
F[51,x] = F[52,x]
F[52,x] = F[26,x]*F[53,x]
F[53,x] = 1/F[102,x]/F[26,x]*F[54,x]
F[54,x] = F[55,x]
F[55,x] = -F[61,x]+F[56,x]
F[56,x] = 1/F[26,x]*F[57,x]
F[57,x] = F[58,x]
F[58,x] = F[59,x]
F[59,x] = F[26,x]*F[60,x]
F[60,x] = F[61,x]+F[70,x]
F[61,x] = F[62,x]+F[63,x]
F[62,x] = F[0,x]+F[58,x]
F[63,x] = -F[70,x]+F[64,x]
F[64,x] = 1/F[26,x]*F[65,x]
F[65,x] = F[66,x]
F[66,x] = -F[2,x]+F[67,x]
F[67,x] = -F[0,x]+F[68,x]
F[68,x] = 1/F[26,x]*F[69,x]
F[69,x] = F[2,x]
F[70,x] = F[117,x]+F[71,x]
F[71,x] = F[72,x]
F[72,x] = F[0,x]*F[26,x]*F[73,x]
F[73,x] = 1/F[26,x]/F[4,x]*F[74,x]
F[74,x] = F[75,x]
F[75,x] = -F[78,x]+F[76,x]
F[76,x] = 1/F[26,x]*F[77,x]
F[77,x] = F[66,x]
F[78,x] = F[79,x]+F[80,x]
F[79,x] = F[2,x]*F[68,x]
F[80,x] = F[81,x]
F[81,x] = F[26,x]*F[82,x]
F[82,x] = F[83,x]+F[84,x]
F[83,x] = F[2,x]*F[62,x]*F[73,x]
F[84,x] = F[85,x]+F[89,x]
F[85,x] = F[53,x]*F[86,x]
F[86,x] = F[87,x]
F[87,x] = F[26,x]*F[48,x]*F[88,x]
F[88,x] = F[0,x]+F[51,x]
F[89,x] = F[115,x]*F[90,x]
F[90,x] = F[91,x]
F[91,x] = F[26,x]*F[88,x]*F[92,x]
F[92,x] = 1/F[113,x]*F[93,x]
F[93,x] = -F[96,x]+F[94,x]
F[94,x] = 1/F[26,x]*F[95,x]
F[95,x] = F[86,x]
F[96,x] = F[88,x]*F[97,x]
F[97,x] = F[107,x]+F[98,x]
F[98,x] = F[0,x]*F[99,x]
F[99,x] = F[100,x]+F[62,x]
F[100,x] = F[101,x]
F[101,x] = F[102,x]*F[26,x]*F[88,x]
F[102,x] = F[103,x]+F[106,x]
F[103,x] = F[104,x]+F[62,x]
F[104,x] = F[105,x]
F[105,x] = F[103,x]*F[26,x]*F[88,x]
F[106,x] = F[100,x]
F[107,x] = -F[108,x]+F[48,x]
F[108,x] = F[109,x]+F[111,x]
F[109,x] = 1/F[26,x]*F[110,x]
F[110,x] = F[10,x]
F[111,x] = F[112,x]
F[112,x] = F[0,x]*F[100,x]
F[113,x] = F[114,x]
F[114,x] = F[88,x]^2*F[26,x]
F[115,x] = F[116,x]
F[116,x] = F[26,x]*F[53,x]*F[88,x]
F[117,x] = F[118,x]
F[118,x] = F[119,x]*F[26,x]
F[119,x] = F[120,x]+F[121,x]
F[120,x] = F[58,x]*F[73,x]
F[121,x] = F[122,x]+F[123,x]
F[122,x] = F[100,x]*F[53,x]
F[123,x] = F[104,x]*F[115,x]
F[124,x] = F[125,x]+F[126,x]
F[125,x] = F[2,x]*F[25,x]
F[126,x] = F[127,x]
F[127,x] = F[128,x]*F[26,x]*F[50,x]
F[128,x] = F[107,x]+F[111,x]
F[129,x] = F[0,x]*F[25,x]
F[130,x] = F[131,x]+F[22,x]
F[131,x] = F[132,x]
F[132,x] = F[133,x]*F[26,x]*F[50,x]
F[133,x] = 1/F[26,x]*F[134,x]
F[134,x] = F[32,x]
F[135,x] = F[136,x]
F[136,x] = F[26,x]*F[97,x]
F[137,x] = -F[145,x]+F[138,x]
F[138,x] = 1/F[26,x]*F[139,x]
F[139,x] = F[140,x]
F[140,x] = -F[38,x]+F[141,x]
F[141,x] = F[142,x]
F[142,x] = F[143,x]*F[26,x]
F[143,x] = 1/F[26,x]*F[144,x]
F[144,x] = F[130,x]
F[145,x] = F[146,x]
F[146,x] = F[131,x]+F[32,x]
F[147,x] = F[148,x]
F[148,x] = F[26,x]*F[50,x]*F[92,x]
System of equations in latex syntax:
F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)
F_{1}\! \left(x \right) = 1
F_{2}\! \left(x \right) = F_{3}\! \left(x \right)
F_{3}\! \left(x \right) = F_{26}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{2}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{26}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{45}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{35}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)+F_{2}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right) F_{26}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)+F_{15}\! \left(x \right)
F_{14}\! \left(x \right) = F_{2}\! \left(x \right) F_{4}\! \left(x \right)
F_{15}\! \left(x \right) = F_{147}\! \left(x \right)+F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)+F_{19}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = F_{0}\! \left(x \right) F_{2}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right) F_{26}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)+F_{27}\! \left(x \right)
F_{22}\! \left(x \right) = F_{2}\! \left(x \right) F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = \frac{F_{24}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{24}\! \left(x \right) = F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{2}\! \left(x \right)+F_{6}\! \left(x \right)
F_{26}\! \left(x \right) = x
F_{27}\! \left(x \right) = F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = -F_{137}\! \left(x \right)+F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = \frac{F_{30}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{30}\! \left(x \right) = F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = -F_{135}\! \left(x \right)+F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = -F_{130}\! \left(x \right)+F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = \frac{F_{34}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = -F_{126}\! \left(x \right)+F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = -F_{129}\! \left(x \right)+F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{124}\! \left(x \right)+F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)+F_{5}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = -F_{5}\! \left(x \right)+F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{26}\! \left(x \right) F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = \frac{F_{44}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{14}\! \left(x \right)+F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{26}\! \left(x \right) F_{48}\! \left(x \right) F_{50}\! \left(x \right)
F_{48}\! \left(x \right) = \frac{F_{49}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{49}\! \left(x \right) = F_{9}\! \left(x \right)
F_{50}\! \left(x \right) = F_{2}\! \left(x \right)+F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{26}\! \left(x \right) F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = \frac{F_{54}\! \left(x \right)}{F_{102}\! \left(x \right) F_{26}\! \left(x \right)}
F_{54}\! \left(x \right) = F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = -F_{61}\! \left(x \right)+F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = \frac{F_{57}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{57}\! \left(x \right) = F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{26}\! \left(x \right) F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{61}\! \left(x \right)+F_{70}\! \left(x \right)
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)+F_{63}\! \left(x \right)
F_{62}\! \left(x \right) = F_{0}\! \left(x \right)+F_{58}\! \left(x \right)
F_{63}\! \left(x \right) = -F_{70}\! \left(x \right)+F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = \frac{F_{65}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{65}\! \left(x \right) = F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = \frac{F_{69}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{69}\! \left(x \right) = F_{2}\! \left(x \right)
F_{70}\! \left(x \right) = F_{117}\! \left(x \right)+F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{0}\! \left(x \right) F_{26}\! \left(x \right) F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = \frac{F_{74}\! \left(x \right)}{F_{26}\! \left(x \right) F_{4}\! \left(x \right)}
F_{74}\! \left(x \right) = F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = -F_{78}\! \left(x \right)+F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = \frac{F_{77}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{77}\! \left(x \right) = F_{66}\! \left(x \right)
F_{78}\! \left(x \right) = F_{79}\! \left(x \right)+F_{80}\! \left(x \right)
F_{79}\! \left(x \right) = F_{2}\! \left(x \right) F_{68}\! \left(x \right)
F_{80}\! \left(x \right) = F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{26}\! \left(x \right) F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{83}\! \left(x \right)+F_{84}\! \left(x \right)
F_{83}\! \left(x \right) = F_{2}\! \left(x \right) F_{62}\! \left(x \right) F_{73}\! \left(x \right)
F_{84}\! \left(x \right) = F_{85}\! \left(x \right)+F_{89}\! \left(x \right)
F_{85}\! \left(x \right) = F_{53}\! \left(x \right) F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{26}\! \left(x \right) F_{48}\! \left(x \right) F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{0}\! \left(x \right)+F_{51}\! \left(x \right)
F_{89}\! \left(x \right) = F_{115}\! \left(x \right) F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = F_{26}\! \left(x \right) F_{88}\! \left(x \right) F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = \frac{F_{93}\! \left(x \right)}{F_{113}\! \left(x \right)}
F_{93}\! \left(x \right) = -F_{96}\! \left(x \right)+F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = \frac{F_{95}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{95}\! \left(x \right) = F_{86}\! \left(x \right)
F_{96}\! \left(x \right) = F_{88}\! \left(x \right) F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{107}\! \left(x \right)+F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{0}\! \left(x \right) F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right)+F_{62}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right) F_{26}\! \left(x \right) F_{88}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)+F_{106}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right)+F_{62}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x \right)
F_{105}\! \left(x \right) = F_{103}\! \left(x \right) F_{26}\! \left(x \right) F_{88}\! \left(x \right)
F_{106}\! \left(x \right) = F_{100}\! \left(x \right)
F_{107}\! \left(x \right) = -F_{108}\! \left(x \right)+F_{48}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)+F_{111}\! \left(x \right)
F_{109}\! \left(x \right) = \frac{F_{110}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{110}\! \left(x \right) = F_{10}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right)
F_{112}\! \left(x \right) = F_{0}\! \left(x \right) F_{100}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right)
F_{114}\! \left(x \right) = F_{88} \left(x \right)^{2} F_{26}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right)
F_{116}\! \left(x \right) = F_{26}\! \left(x \right) F_{53}\! \left(x \right) F_{88}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right) F_{26}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)+F_{121}\! \left(x \right)
F_{120}\! \left(x \right) = F_{58}\! \left(x \right) F_{73}\! \left(x \right)
F_{121}\! \left(x \right) = F_{122}\! \left(x \right)+F_{123}\! \left(x \right)
F_{122}\! \left(x \right) = F_{100}\! \left(x \right) F_{53}\! \left(x \right)
F_{123}\! \left(x \right) = F_{104}\! \left(x \right) F_{115}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)+F_{126}\! \left(x \right)
F_{125}\! \left(x \right) = F_{2}\! \left(x \right) F_{25}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right) F_{26}\! \left(x \right) F_{50}\! \left(x \right)
F_{128}\! \left(x \right) = F_{107}\! \left(x \right)+F_{111}\! \left(x \right)
F_{129}\! \left(x \right) = F_{0}\! \left(x \right) F_{25}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right)+F_{22}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right)
F_{132}\! \left(x \right) = F_{133}\! \left(x \right) F_{26}\! \left(x \right) F_{50}\! \left(x \right)
F_{133}\! \left(x \right) = \frac{F_{134}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{134}\! \left(x \right) = F_{32}\! \left(x \right)
F_{135}\! \left(x \right) = F_{136}\! \left(x \right)
F_{136}\! \left(x \right) = F_{26}\! \left(x \right) F_{97}\! \left(x \right)
F_{137}\! \left(x \right) = -F_{145}\! \left(x \right)+F_{138}\! \left(x \right)
F_{138}\! \left(x \right) = \frac{F_{139}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{139}\! \left(x \right) = F_{140}\! \left(x \right)
F_{140}\! \left(x \right) = -F_{38}\! \left(x \right)+F_{141}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right) F_{26}\! \left(x \right)
F_{143}\! \left(x \right) = \frac{F_{144}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{144}\! \left(x \right) = F_{130}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right)
F_{146}\! \left(x \right) = F_{131}\! \left(x \right)+F_{32}\! \left(x \right)
F_{147}\! \left(x \right) = F_{148}\! \left(x \right)
F_{148}\! \left(x \right) = F_{26}\! \left(x \right) F_{50}\! \left(x \right) F_{92}\! \left(x \right)
System of equations in sympy syntax:
Eq(F_0(x), F_1(x) + F_2(x))
Eq(F_1(x), 1)
Eq(F_2(x), F_3(x))
Eq(F_3(x), F_26(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_2(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_26(x)*F_8(x))
Eq(F_8(x), F_45(x) + F_9(x))
Eq(F_9(x), F_10(x) + F_35(x))
Eq(F_10(x), F_11(x) + F_2(x))
Eq(F_11(x), F_12(x))
Eq(F_12(x), F_13(x)*F_26(x))
Eq(F_13(x), F_14(x) + F_15(x))
Eq(F_14(x), F_2(x)*F_4(x))
Eq(F_15(x), F_147(x) + F_16(x))
Eq(F_16(x), F_17(x) + F_19(x))
Eq(F_17(x), F_18(x))
Eq(F_18(x), F_0(x)*F_2(x))
Eq(F_19(x), F_20(x))
Eq(F_20(x), F_21(x)*F_26(x))
Eq(F_21(x), F_22(x) + F_27(x))
Eq(F_22(x), F_2(x)*F_23(x))
Eq(F_23(x), F_24(x)/F_26(x))
Eq(F_24(x), F_25(x))
Eq(F_25(x), F_2(x) + F_6(x))
Eq(F_26(x), x)
Eq(F_27(x), F_28(x))
Eq(F_28(x), -F_137(x) + F_29(x))
Eq(F_29(x), F_30(x)/F_26(x))
Eq(F_30(x), F_31(x))
Eq(F_31(x), -F_135(x) + F_32(x))
Eq(F_32(x), -F_130(x) + F_33(x))
Eq(F_33(x), F_34(x)/F_26(x))
Eq(F_34(x), F_35(x))
Eq(F_35(x), -F_126(x) + F_36(x))
Eq(F_36(x), -F_129(x) + F_37(x))
Eq(F_37(x), F_124(x) + F_38(x))
Eq(F_38(x), F_39(x) + F_5(x))
Eq(F_39(x), F_40(x))
Eq(F_40(x), F_41(x) - F_5(x))
Eq(F_41(x), F_42(x))
Eq(F_42(x), F_26(x)*F_43(x))
Eq(F_43(x), F_44(x)/F_26(x))
Eq(F_44(x), F_45(x))
Eq(F_45(x), F_14(x) + F_46(x))
Eq(F_46(x), F_47(x))
Eq(F_47(x), F_26(x)*F_48(x)*F_50(x))
Eq(F_48(x), F_49(x)/F_26(x))
Eq(F_49(x), F_9(x))
Eq(F_50(x), F_2(x) + F_51(x))
Eq(F_51(x), F_52(x))
Eq(F_52(x), F_26(x)*F_53(x))
Eq(F_53(x), F_54(x)/(F_102(x)*F_26(x)))
Eq(F_54(x), F_55(x))
Eq(F_55(x), F_56(x) - F_61(x))
Eq(F_56(x), F_57(x)/F_26(x))
Eq(F_57(x), F_58(x))
Eq(F_58(x), F_59(x))
Eq(F_59(x), F_26(x)*F_60(x))
Eq(F_60(x), F_61(x) + F_70(x))
Eq(F_61(x), F_62(x) + F_63(x))
Eq(F_62(x), F_0(x) + F_58(x))
Eq(F_63(x), F_64(x) - F_70(x))
Eq(F_64(x), F_65(x)/F_26(x))
Eq(F_65(x), F_66(x))
Eq(F_66(x), -F_2(x) + F_67(x))
Eq(F_67(x), -F_0(x) + F_68(x))
Eq(F_68(x), F_69(x)/F_26(x))
Eq(F_69(x), F_2(x))
Eq(F_70(x), F_117(x) + F_71(x))
Eq(F_71(x), F_72(x))
Eq(F_72(x), F_0(x)*F_26(x)*F_73(x))
Eq(F_73(x), F_74(x)/(F_26(x)*F_4(x)))
Eq(F_74(x), F_75(x))
Eq(F_75(x), F_76(x) - F_78(x))
Eq(F_76(x), F_77(x)/F_26(x))
Eq(F_77(x), F_66(x))
Eq(F_78(x), F_79(x) + F_80(x))
Eq(F_79(x), F_2(x)*F_68(x))
Eq(F_80(x), F_81(x))
Eq(F_81(x), F_26(x)*F_82(x))
Eq(F_82(x), F_83(x) + F_84(x))
Eq(F_83(x), F_2(x)*F_62(x)*F_73(x))
Eq(F_84(x), F_85(x) + F_89(x))
Eq(F_85(x), F_53(x)*F_86(x))
Eq(F_86(x), F_87(x))
Eq(F_87(x), F_26(x)*F_48(x)*F_88(x))
Eq(F_88(x), F_0(x) + F_51(x))
Eq(F_89(x), F_115(x)*F_90(x))
Eq(F_90(x), F_91(x))
Eq(F_91(x), F_26(x)*F_88(x)*F_92(x))
Eq(F_92(x), F_93(x)/F_113(x))
Eq(F_93(x), F_94(x) - F_96(x))
Eq(F_94(x), F_95(x)/F_26(x))
Eq(F_95(x), F_86(x))
Eq(F_96(x), F_88(x)*F_97(x))
Eq(F_97(x), F_107(x) + F_98(x))
Eq(F_98(x), F_0(x)*F_99(x))
Eq(F_99(x), F_100(x) + F_62(x))
Eq(F_100(x), F_101(x))
Eq(F_101(x), F_102(x)*F_26(x)*F_88(x))
Eq(F_102(x), F_103(x) + F_106(x))
Eq(F_103(x), F_104(x) + F_62(x))
Eq(F_104(x), F_105(x))
Eq(F_105(x), F_103(x)*F_26(x)*F_88(x))
Eq(F_106(x), F_100(x))
Eq(F_107(x), -F_108(x) + F_48(x))
Eq(F_108(x), F_109(x) + F_111(x))
Eq(F_109(x), F_110(x)/F_26(x))
Eq(F_110(x), F_10(x))
Eq(F_111(x), F_112(x))
Eq(F_112(x), F_0(x)*F_100(x))
Eq(F_113(x), F_114(x))
Eq(F_114(x), F_26(x)*F_88(x)**2)
Eq(F_115(x), F_116(x))
Eq(F_116(x), F_26(x)*F_53(x)*F_88(x))
Eq(F_117(x), F_118(x))
Eq(F_118(x), F_119(x)*F_26(x))
Eq(F_119(x), F_120(x) + F_121(x))
Eq(F_120(x), F_58(x)*F_73(x))
Eq(F_121(x), F_122(x) + F_123(x))
Eq(F_122(x), F_100(x)*F_53(x))
Eq(F_123(x), F_104(x)*F_115(x))
Eq(F_124(x), F_125(x) + F_126(x))
Eq(F_125(x), F_2(x)*F_25(x))
Eq(F_126(x), F_127(x))
Eq(F_127(x), F_128(x)*F_26(x)*F_50(x))
Eq(F_128(x), F_107(x) + F_111(x))
Eq(F_129(x), F_0(x)*F_25(x))
Eq(F_130(x), F_131(x) + F_22(x))
Eq(F_131(x), F_132(x))
Eq(F_132(x), F_133(x)*F_26(x)*F_50(x))
Eq(F_133(x), F_134(x)/F_26(x))
Eq(F_134(x), F_32(x))
Eq(F_135(x), F_136(x))
Eq(F_136(x), F_26(x)*F_97(x))
Eq(F_137(x), F_138(x) - F_145(x))
Eq(F_138(x), F_139(x)/F_26(x))
Eq(F_139(x), F_140(x))
Eq(F_140(x), F_141(x) - F_38(x))
Eq(F_141(x), F_142(x))
Eq(F_142(x), F_143(x)*F_26(x))
Eq(F_143(x), F_144(x)/F_26(x))
Eq(F_144(x), F_130(x))
Eq(F_145(x), F_146(x))
Eq(F_146(x), F_131(x) + F_32(x))
Eq(F_147(x), F_148(x))
Eq(F_148(x), F_26(x)*F_50(x)*F_92(x))
Pack JSON:
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Specification JSON:
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3, 1], "pos": [[0, 2], [0, 2], [0, 4], [0, 2]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 3], [0, 3], [0, 4], [0, 3]]}, {"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, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 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, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 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, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 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, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0], "pos": [[1, 3]]}, {"patt": [0, 1], "pos": [[0, 0], [0, 2]]}, {"patt": [0, 1], "pos": [[0, 0], [0, 3]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [0, 2], [0, 3]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 1], [0, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [0, 3], [0, 2]]}, {"patt": [1, 0, 2], "pos": [[0, 2], [0, 1], [0, 3]]}, {"patt": [2, 0, 1], "pos": [[0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 2], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 1], [0, 1], [0, 2], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 1], [0, 1], [0, 3], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 2], [0, 2], [0, 3], [0, 2]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 1], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 1], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 2], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 1], [0, 2], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 1], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 1], [0, 3], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 1], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 2], [0, 3], [0, 2], [0, 2]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 2], [0, 3], [0, 3], [0, 3]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 2], [0, 1], [0, 2], [0, 2]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 3], [0, 1], [0, 3], [0, 3]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 3], [0, 2], [0, 3], [0, 3]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 1], [0, 1], [0, 2], [0, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 1], [0, 1], [0, 3], [0, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 2], [0, 2], [0, 3], [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, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 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, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 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, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 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, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionInferralStrategy", "gps": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 3]]}]}}, "idx": 0}]}, {"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"}}]}

Specification 4
Strategy pack name: point_placements_req_corrob
Tree: http://permpal.com/tree/25639/
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[25,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[2,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[25,x]*F[8,x]
F[8,x] = F[42,x]+F[9,x]
F[9,x] = F[10,x]+F[34,x]
F[10,x] = F[11,x]+F[2,x]
F[11,x] = F[12,x]
F[12,x] = F[13,x]*F[25,x]
F[13,x] = F[14,x]+F[15,x]
F[14,x] = F[2,x]*F[4,x]
F[15,x] = F[144,x]+F[16,x]
F[16,x] = F[17,x]+F[19,x]
F[17,x] = F[18,x]
F[18,x] = F[0,x]*F[2,x]
F[19,x] = F[20,x]
F[20,x] = F[21,x]*F[25,x]
F[21,x] = F[22,x]+F[26,x]
F[22,x] = F[2,x]*F[23,x]
F[23,x] = 1/F[25,x]*F[24,x]
F[24,x] = F[5,x]
F[25,x] = x
F[26,x] = F[27,x]
F[27,x] = -F[131,x]+F[28,x]
F[28,x] = 1/F[25,x]*F[29,x]
F[29,x] = F[30,x]
F[30,x] = -F[129,x]+F[31,x]
F[31,x] = -F[124,x]+F[32,x]
F[32,x] = 1/F[25,x]*F[33,x]
F[33,x] = F[34,x]
F[34,x] = F[35,x]+F[6,x]
F[35,x] = F[36,x]
F[36,x] = -F[6,x]+F[37,x]
F[37,x] = -F[123,x]+F[38,x]
F[38,x] = F[39,x]
F[39,x] = F[25,x]*F[40,x]
F[40,x] = 1/F[25,x]*F[41,x]
F[41,x] = F[42,x]
F[42,x] = F[14,x]+F[43,x]
F[43,x] = F[44,x]
F[44,x] = F[122,x]*F[25,x]*F[45,x]
F[45,x] = 1/F[25,x]/F[88,x]*F[46,x]
F[46,x] = F[47,x]
F[47,x] = -F[50,x]+F[48,x]
F[48,x] = 1/F[25,x]*F[49,x]
F[49,x] = F[6,x]
F[50,x] = F[2,x]*F[51,x]
F[51,x] = F[0,x]+F[52,x]
F[52,x] = F[53,x]
F[53,x] = F[25,x]*F[54,x]
F[54,x] = F[55,x]+F[63,x]
F[55,x] = F[51,x]+F[56,x]
F[56,x] = -F[63,x]+F[57,x]
F[57,x] = 1/F[25,x]*F[58,x]
F[58,x] = F[59,x]
F[59,x] = -F[2,x]+F[60,x]
F[60,x] = -F[0,x]+F[61,x]
F[61,x] = 1/F[25,x]*F[62,x]
F[62,x] = F[2,x]
F[63,x] = F[115,x]+F[64,x]
F[64,x] = F[65,x]
F[65,x] = F[0,x]*F[25,x]*F[66,x]
F[66,x] = 1/F[25,x]/F[4,x]*F[67,x]
F[67,x] = F[68,x]
F[68,x] = -F[71,x]+F[69,x]
F[69,x] = 1/F[25,x]*F[70,x]
F[70,x] = F[59,x]
F[71,x] = F[72,x]+F[73,x]
F[72,x] = F[2,x]*F[61,x]
F[73,x] = F[74,x]
F[74,x] = F[25,x]*F[75,x]
F[75,x] = F[76,x]+F[77,x]
F[76,x] = F[2,x]*F[51,x]*F[66,x]
F[77,x] = F[78,x]+F[94,x]
F[78,x] = F[47,x]*F[79,x]
F[79,x] = 1/F[25,x]/F[84,x]*F[80,x]
F[80,x] = F[81,x]
F[81,x] = -F[55,x]+F[82,x]
F[82,x] = 1/F[25,x]*F[83,x]
F[83,x] = F[52,x]
F[84,x] = F[85,x]+F[91,x]
F[85,x] = F[51,x]+F[86,x]
F[86,x] = F[87,x]
F[87,x] = F[25,x]*F[85,x]*F[88,x]
F[88,x] = F[0,x]+F[89,x]
F[89,x] = F[90,x]
F[90,x] = F[25,x]*F[79,x]
F[91,x] = F[92,x]
F[92,x] = F[93,x]
F[93,x] = F[25,x]*F[84,x]*F[88,x]
F[94,x] = F[113,x]*F[95,x]
F[95,x] = F[96,x]
F[96,x] = F[25,x]*F[88,x]*F[97,x]
F[97,x] = 1/F[111,x]*F[98,x]
F[98,x] = -F[101,x]+F[99,x]
F[99,x] = 1/F[25,x]*F[100,x]
F[100,x] = F[47,x]
F[101,x] = F[102,x]*F[88,x]
F[102,x] = F[103,x]+F[105,x]
F[103,x] = F[0,x]*F[104,x]
F[104,x] = F[51,x]+F[92,x]
F[105,x] = -F[106,x]+F[45,x]
F[106,x] = F[107,x]+F[109,x]
F[107,x] = 1/F[25,x]*F[108,x]
F[108,x] = F[10,x]
F[109,x] = F[110,x]
F[110,x] = F[0,x]*F[92,x]
F[111,x] = F[112,x]
F[112,x] = F[88,x]^2*F[25,x]
F[113,x] = F[114,x]
F[114,x] = F[25,x]*F[79,x]*F[88,x]
F[115,x] = F[116,x]
F[116,x] = F[117,x]*F[25,x]
F[117,x] = F[118,x]+F[119,x]
F[118,x] = F[52,x]*F[66,x]
F[119,x] = F[120,x]+F[121,x]
F[120,x] = F[79,x]*F[92,x]
F[121,x] = F[113,x]*F[86,x]
F[122,x] = F[2,x]+F[89,x]
F[123,x] = F[2,x]+F[6,x]
F[124,x] = F[125,x]+F[22,x]
F[125,x] = F[126,x]
F[126,x] = F[122,x]*F[127,x]*F[25,x]
F[127,x] = 1/F[25,x]*F[128,x]
F[128,x] = F[31,x]
F[129,x] = F[130,x]
F[130,x] = F[102,x]*F[25,x]
F[131,x] = -F[142,x]+F[132,x]
F[132,x] = 1/F[25,x]*F[133,x]
F[133,x] = F[134,x]
F[134,x] = -F[139,x]+F[135,x]
F[135,x] = F[136,x]
F[136,x] = F[137,x]*F[25,x]
F[137,x] = 1/F[25,x]*F[138,x]
F[138,x] = F[124,x]
F[139,x] = F[140,x]
F[140,x] = F[141,x]+F[5,x]
F[141,x] = F[34,x]
F[142,x] = F[143,x]
F[143,x] = F[125,x]+F[31,x]
F[144,x] = F[145,x]
F[145,x] = F[122,x]*F[25,x]*F[97,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_{25}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{2}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{25}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{42}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{34}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)+F_{2}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right) F_{25}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)+F_{15}\! \left(x \right)
F_{14}\! \left(x \right) = F_{2}\! \left(x \right) F_{4}\! \left(x \right)
F_{15}\! \left(x \right) = F_{144}\! \left(x \right)+F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)+F_{19}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = F_{0}\! \left(x \right) F_{2}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right) F_{25}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)+F_{26}\! \left(x \right)
F_{22}\! \left(x \right) = F_{2}\! \left(x \right) F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = \frac{F_{24}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{24}\! \left(x \right) = F_{5}\! \left(x \right)
F_{25}\! \left(x \right) = x
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = -F_{131}\! \left(x \right)+F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = \frac{F_{29}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = -F_{129}\! \left(x \right)+F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = -F_{124}\! \left(x \right)+F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = \frac{F_{33}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)+F_{6}\! \left(x \right)
F_{35}\! \left(x \right) = F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = -F_{6}\! \left(x \right)+F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = -F_{123}\! \left(x \right)+F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{25}\! \left(x \right) F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = \frac{F_{41}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{14}\! \left(x \right)+F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{122}\! \left(x \right) F_{25}\! \left(x \right) F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = \frac{F_{46}\! \left(x \right)}{F_{25}\! \left(x \right) F_{88}\! \left(x \right)}
F_{46}\! \left(x \right) = F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = -F_{50}\! \left(x \right)+F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = \frac{F_{49}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{49}\! \left(x \right) = F_{6}\! \left(x \right)
F_{50}\! \left(x \right) = F_{2}\! \left(x \right) F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{0}\! \left(x \right)+F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{25}\! \left(x \right) F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{55}\! \left(x \right)+F_{63}\! \left(x \right)
F_{55}\! \left(x \right) = F_{51}\! \left(x \right)+F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = -F_{63}\! \left(x \right)+F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = \frac{F_{58}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{58}\! \left(x \right) = F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = \frac{F_{62}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{62}\! \left(x \right) = F_{2}\! \left(x \right)
F_{63}\! \left(x \right) = F_{115}\! \left(x \right)+F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{0}\! \left(x \right) F_{25}\! \left(x \right) F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = \frac{F_{67}\! \left(x \right)}{F_{25}\! \left(x \right) F_{4}\! \left(x \right)}
F_{67}\! \left(x \right) = F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = -F_{71}\! \left(x \right)+F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = \frac{F_{70}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{70}\! \left(x \right) = F_{59}\! \left(x \right)
F_{71}\! \left(x \right) = F_{72}\! \left(x \right)+F_{73}\! \left(x \right)
F_{72}\! \left(x \right) = F_{2}\! \left(x \right) F_{61}\! \left(x \right)
F_{73}\! \left(x \right) = F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{25}\! \left(x \right) F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{76}\! \left(x \right)+F_{77}\! \left(x \right)
F_{76}\! \left(x \right) = F_{2}\! \left(x \right) F_{51}\! \left(x \right) F_{66}\! \left(x \right)
F_{77}\! \left(x \right) = F_{78}\! \left(x \right)+F_{94}\! \left(x \right)
F_{78}\! \left(x \right) = F_{47}\! \left(x \right) F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = \frac{F_{80}\! \left(x \right)}{F_{25}\! \left(x \right) F_{84}\! \left(x \right)}
F_{80}\! \left(x \right) = F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = -F_{55}\! \left(x \right)+F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = \frac{F_{83}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{83}\! \left(x \right) = F_{52}\! \left(x \right)
F_{84}\! \left(x \right) = F_{85}\! \left(x \right)+F_{91}\! \left(x \right)
F_{85}\! \left(x \right) = F_{51}\! \left(x \right)+F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{25}\! \left(x \right) F_{85}\! \left(x \right) F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{0}\! \left(x \right)+F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{25}\! \left(x \right) F_{79}\! \left(x \right)
F_{91}\! \left(x \right) = F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{25}\! \left(x \right) F_{84}\! \left(x \right) F_{88}\! \left(x \right)
F_{94}\! \left(x \right) = F_{113}\! \left(x \right) F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{25}\! \left(x \right) F_{88}\! \left(x \right) F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = \frac{F_{98}\! \left(x \right)}{F_{111}\! \left(x \right)}
F_{98}\! \left(x \right) = -F_{101}\! \left(x \right)+F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = \frac{F_{100}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{100}\! \left(x \right) = F_{47}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right) F_{88}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)+F_{105}\! \left(x \right)
F_{103}\! \left(x \right) = F_{0}\! \left(x \right) F_{104}\! \left(x \right)
F_{104}\! \left(x \right) = F_{51}\! \left(x \right)+F_{92}\! \left(x \right)
F_{105}\! \left(x \right) = -F_{106}\! \left(x \right)+F_{45}\! \left(x \right)
F_{106}\! \left(x \right) = F_{107}\! \left(x \right)+F_{109}\! \left(x \right)
F_{107}\! \left(x \right) = \frac{F_{108}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{108}\! \left(x \right) = F_{10}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right)
F_{110}\! \left(x \right) = F_{0}\! \left(x \right) F_{92}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right)
F_{112}\! \left(x \right) = F_{88} \left(x \right)^{2} F_{25}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right)
F_{114}\! \left(x \right) = F_{25}\! \left(x \right) F_{79}\! \left(x \right) F_{88}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right)
F_{116}\! \left(x \right) = F_{117}\! \left(x \right) F_{25}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)+F_{119}\! \left(x \right)
F_{118}\! \left(x \right) = F_{52}\! \left(x \right) F_{66}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)+F_{121}\! \left(x \right)
F_{120}\! \left(x \right) = F_{79}\! \left(x \right) F_{92}\! \left(x \right)
F_{121}\! \left(x \right) = F_{113}\! \left(x \right) F_{86}\! \left(x \right)
F_{122}\! \left(x \right) = F_{2}\! \left(x \right)+F_{89}\! \left(x \right)
F_{123}\! \left(x \right) = F_{2}\! \left(x \right)+F_{6}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)+F_{22}\! \left(x \right)
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)
F_{126}\! \left(x \right) = F_{122}\! \left(x \right) F_{127}\! \left(x \right) F_{25}\! \left(x \right)
F_{127}\! \left(x \right) = \frac{F_{128}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{128}\! \left(x \right) = F_{31}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right)
F_{130}\! \left(x \right) = F_{102}\! \left(x \right) F_{25}\! \left(x \right)
F_{131}\! \left(x \right) = -F_{142}\! \left(x \right)+F_{132}\! \left(x \right)
F_{132}\! \left(x \right) = \frac{F_{133}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{133}\! \left(x \right) = F_{134}\! \left(x \right)
F_{134}\! \left(x \right) = -F_{139}\! \left(x \right)+F_{135}\! \left(x \right)
F_{135}\! \left(x \right) = F_{136}\! \left(x \right)
F_{136}\! \left(x \right) = F_{137}\! \left(x \right) F_{25}\! \left(x \right)
F_{137}\! \left(x \right) = \frac{F_{138}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{138}\! \left(x \right) = F_{124}\! \left(x \right)
F_{139}\! \left(x \right) = F_{140}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right)+F_{5}\! \left(x \right)
F_{141}\! \left(x \right) = F_{34}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right)
F_{143}\! \left(x \right) = F_{125}\! \left(x \right)+F_{31}\! \left(x \right)
F_{144}\! \left(x \right) = F_{145}\! \left(x \right)
F_{145}\! \left(x \right) = F_{122}\! \left(x \right) F_{25}\! \left(x \right) F_{97}\! \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_25(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_2(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_25(x)*F_8(x))
Eq(F_8(x), F_42(x) + F_9(x))
Eq(F_9(x), F_10(x) + F_34(x))
Eq(F_10(x), F_11(x) + F_2(x))
Eq(F_11(x), F_12(x))
Eq(F_12(x), F_13(x)*F_25(x))
Eq(F_13(x), F_14(x) + F_15(x))
Eq(F_14(x), F_2(x)*F_4(x))
Eq(F_15(x), F_144(x) + F_16(x))
Eq(F_16(x), F_17(x) + F_19(x))
Eq(F_17(x), F_18(x))
Eq(F_18(x), F_0(x)*F_2(x))
Eq(F_19(x), F_20(x))
Eq(F_20(x), F_21(x)*F_25(x))
Eq(F_21(x), F_22(x) + F_26(x))
Eq(F_22(x), F_2(x)*F_23(x))
Eq(F_23(x), F_24(x)/F_25(x))
Eq(F_24(x), F_5(x))
Eq(F_25(x), x)
Eq(F_26(x), F_27(x))
Eq(F_27(x), -F_131(x) + F_28(x))
Eq(F_28(x), F_29(x)/F_25(x))
Eq(F_29(x), F_30(x))
Eq(F_30(x), -F_129(x) + F_31(x))
Eq(F_31(x), -F_124(x) + F_32(x))
Eq(F_32(x), F_33(x)/F_25(x))
Eq(F_33(x), F_34(x))
Eq(F_34(x), F_35(x) + F_6(x))
Eq(F_35(x), F_36(x))
Eq(F_36(x), F_37(x) - F_6(x))
Eq(F_37(x), -F_123(x) + F_38(x))
Eq(F_38(x), F_39(x))
Eq(F_39(x), F_25(x)*F_40(x))
Eq(F_40(x), F_41(x)/F_25(x))
Eq(F_41(x), F_42(x))
Eq(F_42(x), F_14(x) + F_43(x))
Eq(F_43(x), F_44(x))
Eq(F_44(x), F_122(x)*F_25(x)*F_45(x))
Eq(F_45(x), F_46(x)/(F_25(x)*F_88(x)))
Eq(F_46(x), F_47(x))
Eq(F_47(x), F_48(x) - F_50(x))
Eq(F_48(x), F_49(x)/F_25(x))
Eq(F_49(x), F_6(x))
Eq(F_50(x), F_2(x)*F_51(x))
Eq(F_51(x), F_0(x) + F_52(x))
Eq(F_52(x), F_53(x))
Eq(F_53(x), F_25(x)*F_54(x))
Eq(F_54(x), F_55(x) + F_63(x))
Eq(F_55(x), F_51(x) + F_56(x))
Eq(F_56(x), F_57(x) - F_63(x))
Eq(F_57(x), F_58(x)/F_25(x))
Eq(F_58(x), F_59(x))
Eq(F_59(x), -F_2(x) + F_60(x))
Eq(F_60(x), -F_0(x) + F_61(x))
Eq(F_61(x), F_62(x)/F_25(x))
Eq(F_62(x), F_2(x))
Eq(F_63(x), F_115(x) + F_64(x))
Eq(F_64(x), F_65(x))
Eq(F_65(x), F_0(x)*F_25(x)*F_66(x))
Eq(F_66(x), F_67(x)/(F_25(x)*F_4(x)))
Eq(F_67(x), F_68(x))
Eq(F_68(x), F_69(x) - F_71(x))
Eq(F_69(x), F_70(x)/F_25(x))
Eq(F_70(x), F_59(x))
Eq(F_71(x), F_72(x) + F_73(x))
Eq(F_72(x), F_2(x)*F_61(x))
Eq(F_73(x), F_74(x))
Eq(F_74(x), F_25(x)*F_75(x))
Eq(F_75(x), F_76(x) + F_77(x))
Eq(F_76(x), F_2(x)*F_51(x)*F_66(x))
Eq(F_77(x), F_78(x) + F_94(x))
Eq(F_78(x), F_47(x)*F_79(x))
Eq(F_79(x), F_80(x)/(F_25(x)*F_84(x)))
Eq(F_80(x), F_81(x))
Eq(F_81(x), -F_55(x) + F_82(x))
Eq(F_82(x), F_83(x)/F_25(x))
Eq(F_83(x), F_52(x))
Eq(F_84(x), F_85(x) + F_91(x))
Eq(F_85(x), F_51(x) + F_86(x))
Eq(F_86(x), F_87(x))
Eq(F_87(x), F_25(x)*F_85(x)*F_88(x))
Eq(F_88(x), F_0(x) + F_89(x))
Eq(F_89(x), F_90(x))
Eq(F_90(x), F_25(x)*F_79(x))
Eq(F_91(x), F_92(x))
Eq(F_92(x), F_93(x))
Eq(F_93(x), F_25(x)*F_84(x)*F_88(x))
Eq(F_94(x), F_113(x)*F_95(x))
Eq(F_95(x), F_96(x))
Eq(F_96(x), F_25(x)*F_88(x)*F_97(x))
Eq(F_97(x), F_98(x)/F_111(x))
Eq(F_98(x), -F_101(x) + F_99(x))
Eq(F_99(x), F_100(x)/F_25(x))
Eq(F_100(x), F_47(x))
Eq(F_101(x), F_102(x)*F_88(x))
Eq(F_102(x), F_103(x) + F_105(x))
Eq(F_103(x), F_0(x)*F_104(x))
Eq(F_104(x), F_51(x) + F_92(x))
Eq(F_105(x), -F_106(x) + F_45(x))
Eq(F_106(x), F_107(x) + F_109(x))
Eq(F_107(x), F_108(x)/F_25(x))
Eq(F_108(x), F_10(x))
Eq(F_109(x), F_110(x))
Eq(F_110(x), F_0(x)*F_92(x))
Eq(F_111(x), F_112(x))
Eq(F_112(x), F_25(x)*F_88(x)**2)
Eq(F_113(x), F_114(x))
Eq(F_114(x), F_25(x)*F_79(x)*F_88(x))
Eq(F_115(x), F_116(x))
Eq(F_116(x), F_117(x)*F_25(x))
Eq(F_117(x), F_118(x) + F_119(x))
Eq(F_118(x), F_52(x)*F_66(x))
Eq(F_119(x), F_120(x) + F_121(x))
Eq(F_120(x), F_79(x)*F_92(x))
Eq(F_121(x), F_113(x)*F_86(x))
Eq(F_122(x), F_2(x) + F_89(x))
Eq(F_123(x), F_2(x) + F_6(x))
Eq(F_124(x), F_125(x) + F_22(x))
Eq(F_125(x), F_126(x))
Eq(F_126(x), F_122(x)*F_127(x)*F_25(x))
Eq(F_127(x), F_128(x)/F_25(x))
Eq(F_128(x), F_31(x))
Eq(F_129(x), F_130(x))
Eq(F_130(x), F_102(x)*F_25(x))
Eq(F_131(x), F_132(x) - F_142(x))
Eq(F_132(x), F_133(x)/F_25(x))
Eq(F_133(x), F_134(x))
Eq(F_134(x), F_135(x) - F_139(x))
Eq(F_135(x), F_136(x))
Eq(F_136(x), F_137(x)*F_25(x))
Eq(F_137(x), F_138(x)/F_25(x))
Eq(F_138(x), F_124(x))
Eq(F_139(x), F_140(x))
Eq(F_140(x), F_141(x) + F_5(x))
Eq(F_141(x), F_34(x))
Eq(F_142(x), F_143(x))
Eq(F_143(x), F_125(x) + F_31(x))
Eq(F_144(x), F_145(x))
Eq(F_145(x), F_122(x)*F_25(x)*F_97(x))
Pack JSON:
{"name": "point_placements_req_corrob", "initial_strats": [{"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 4, 1, 3], [0, 2, 4, 3, 1], [0, 4, 2, 1, 3], [0, 4, 2, 3, 1], [0, 4, 3, 2, 1], [2, 0, 4, 1, 3], [2, 0, 4, 3, 1]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 4, 1, 3], [0, 2, 4, 3, 1], [0, 4, 2, 1, 3], [0, 4, 2, 3, 1], [0, 4, 3, 2, 1], [2, 0, 4, 1, 3], [2, 0, 4, 3, 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, 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, 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": [2, 0, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 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": [[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], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 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, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 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, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 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, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 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, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [1, 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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], [2, 0]], [[1, 1]]]}}, "idx": 0}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 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, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 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, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 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, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 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, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], "requirements": [], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": 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"pos": [[0, 3], [0, 3], [0, 4], [0, 3]]}, {"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, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 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, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 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, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 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, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0], "pos": [[1, 3]]}, {"patt": [0, 1], "pos": [[0, 0], [0, 2]]}, {"patt": [0, 1], "pos": [[0, 0], [0, 3]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [0, 2], [0, 3]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 1], [0, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [0, 3], [0, 2]]}, {"patt": [1, 0, 2], "pos": [[0, 2], [0, 1], [0, 3]]}, {"patt": [2, 0, 1], "pos": [[0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 2], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 1], [0, 1], [0, 2], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 1], [0, 1], [0, 3], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 2], [0, 2], [0, 3], [0, 2]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 1], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 1], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 2], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 1], [0, 2], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 1], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 1], [0, 3], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 1], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 2], [0, 3], [0, 2], [0, 2]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 2], [0, 3], [0, 3], [0, 3]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 2], [0, 1], [0, 2], [0, 2]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 3], [0, 1], [0, 3], [0, 3]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 3], [0, 2], [0, 3], [0, 3]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 1], [0, 1], [0, 2], [0, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 1], [0, 1], [0, 3], [0, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 2], [0, 2], [0, 3], [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, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 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, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 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, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 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, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionInferralStrategy", "gps": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 3]]}]}}, "idx": 0}]}, {"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"}}]}

Specification 5
Strategy pack name: point_placements_req_corrob
Tree: http://permpal.com/tree/25829/
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[26,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[2,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[26,x]*F[8,x]
F[8,x] = F[45,x]+F[9,x]
F[9,x] = F[10,x]+F[35,x]
F[10,x] = F[11,x]+F[2,x]
F[11,x] = F[12,x]
F[12,x] = F[13,x]*F[26,x]
F[13,x] = F[14,x]+F[15,x]
F[14,x] = F[2,x]*F[4,x]
F[15,x] = F[147,x]+F[16,x]
F[16,x] = F[17,x]+F[19,x]
F[17,x] = F[18,x]
F[18,x] = F[0,x]*F[2,x]
F[19,x] = F[20,x]
F[20,x] = F[21,x]*F[26,x]
F[21,x] = F[22,x]+F[27,x]
F[22,x] = F[2,x]*F[23,x]
F[23,x] = 1/F[26,x]*F[24,x]
F[24,x] = F[25,x]
F[25,x] = F[2,x]+F[6,x]
F[26,x] = x
F[27,x] = F[28,x]
F[28,x] = -F[137,x]+F[29,x]
F[29,x] = 1/F[26,x]*F[30,x]
F[30,x] = F[31,x]
F[31,x] = -F[135,x]+F[32,x]
F[32,x] = -F[130,x]+F[33,x]
F[33,x] = 1/F[26,x]*F[34,x]
F[34,x] = F[35,x]
F[35,x] = -F[126,x]+F[36,x]
F[36,x] = -F[129,x]+F[37,x]
F[37,x] = F[124,x]+F[38,x]
F[38,x] = F[39,x]+F[5,x]
F[39,x] = F[40,x]
F[40,x] = -F[5,x]+F[41,x]
F[41,x] = F[42,x]
F[42,x] = F[26,x]*F[43,x]
F[43,x] = 1/F[26,x]*F[44,x]
F[44,x] = F[45,x]
F[45,x] = F[14,x]+F[46,x]
F[46,x] = F[47,x]
F[47,x] = F[26,x]*F[48,x]*F[50,x]
F[48,x] = 1/F[26,x]*F[49,x]
F[49,x] = F[9,x]
F[50,x] = F[2,x]+F[51,x]
F[51,x] = F[52,x]
F[52,x] = F[26,x]*F[53,x]
F[53,x] = 1/F[102,x]/F[26,x]*F[54,x]
F[54,x] = F[55,x]
F[55,x] = -F[61,x]+F[56,x]
F[56,x] = 1/F[26,x]*F[57,x]
F[57,x] = F[58,x]
F[58,x] = F[59,x]
F[59,x] = F[26,x]*F[60,x]
F[60,x] = F[61,x]+F[70,x]
F[61,x] = F[62,x]+F[63,x]
F[62,x] = F[0,x]+F[58,x]
F[63,x] = -F[70,x]+F[64,x]
F[64,x] = 1/F[26,x]*F[65,x]
F[65,x] = F[66,x]
F[66,x] = -F[2,x]+F[67,x]
F[67,x] = -F[0,x]+F[68,x]
F[68,x] = 1/F[26,x]*F[69,x]
F[69,x] = F[2,x]
F[70,x] = F[117,x]+F[71,x]
F[71,x] = F[72,x]
F[72,x] = F[0,x]*F[26,x]*F[73,x]
F[73,x] = 1/F[26,x]/F[4,x]*F[74,x]
F[74,x] = F[75,x]
F[75,x] = -F[78,x]+F[76,x]
F[76,x] = 1/F[26,x]*F[77,x]
F[77,x] = F[66,x]
F[78,x] = F[79,x]+F[80,x]
F[79,x] = F[2,x]*F[68,x]
F[80,x] = F[81,x]
F[81,x] = F[26,x]*F[82,x]
F[82,x] = F[83,x]+F[84,x]
F[83,x] = F[2,x]*F[62,x]*F[73,x]
F[84,x] = F[85,x]+F[89,x]
F[85,x] = F[53,x]*F[86,x]
F[86,x] = F[87,x]
F[87,x] = F[26,x]*F[48,x]*F[88,x]
F[88,x] = F[0,x]+F[51,x]
F[89,x] = F[115,x]*F[90,x]
F[90,x] = F[91,x]
F[91,x] = F[26,x]*F[88,x]*F[92,x]
F[92,x] = 1/F[113,x]*F[93,x]
F[93,x] = -F[96,x]+F[94,x]
F[94,x] = 1/F[26,x]*F[95,x]
F[95,x] = F[86,x]
F[96,x] = F[88,x]*F[97,x]
F[97,x] = F[107,x]+F[98,x]
F[98,x] = F[0,x]*F[99,x]
F[99,x] = F[100,x]+F[62,x]
F[100,x] = F[101,x]
F[101,x] = F[102,x]*F[26,x]*F[88,x]
F[102,x] = F[103,x]+F[106,x]
F[103,x] = F[104,x]+F[62,x]
F[104,x] = F[105,x]
F[105,x] = F[103,x]*F[26,x]*F[88,x]
F[106,x] = F[100,x]
F[107,x] = -F[108,x]+F[48,x]
F[108,x] = F[109,x]+F[111,x]
F[109,x] = 1/F[26,x]*F[110,x]
F[110,x] = F[10,x]
F[111,x] = F[112,x]
F[112,x] = F[0,x]*F[100,x]
F[113,x] = F[114,x]
F[114,x] = F[88,x]^2*F[26,x]
F[115,x] = F[116,x]
F[116,x] = F[26,x]*F[53,x]*F[88,x]
F[117,x] = F[118,x]
F[118,x] = F[119,x]*F[26,x]
F[119,x] = F[120,x]+F[121,x]
F[120,x] = F[58,x]*F[73,x]
F[121,x] = F[122,x]+F[123,x]
F[122,x] = F[100,x]*F[53,x]
F[123,x] = F[104,x]*F[115,x]
F[124,x] = F[125,x]+F[126,x]
F[125,x] = F[2,x]*F[25,x]
F[126,x] = F[127,x]
F[127,x] = F[128,x]*F[26,x]*F[50,x]
F[128,x] = F[107,x]+F[111,x]
F[129,x] = F[0,x]*F[25,x]
F[130,x] = F[131,x]+F[22,x]
F[131,x] = F[132,x]
F[132,x] = F[133,x]*F[26,x]*F[50,x]
F[133,x] = 1/F[26,x]*F[134,x]
F[134,x] = F[32,x]
F[135,x] = F[136,x]
F[136,x] = F[26,x]*F[97,x]
F[137,x] = -F[145,x]+F[138,x]
F[138,x] = 1/F[26,x]*F[139,x]
F[139,x] = F[140,x]
F[140,x] = -F[38,x]+F[141,x]
F[141,x] = F[142,x]
F[142,x] = F[143,x]*F[26,x]
F[143,x] = 1/F[26,x]*F[144,x]
F[144,x] = F[130,x]
F[145,x] = F[146,x]
F[146,x] = F[131,x]+F[32,x]
F[147,x] = F[148,x]
F[148,x] = F[26,x]*F[50,x]*F[92,x]
System of equations in latex syntax:
F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)
F_{1}\! \left(x \right) = 1
F_{2}\! \left(x \right) = F_{3}\! \left(x \right)
F_{3}\! \left(x \right) = F_{26}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{2}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{26}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{45}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{35}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)+F_{2}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right) F_{26}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)+F_{15}\! \left(x \right)
F_{14}\! \left(x \right) = F_{2}\! \left(x \right) F_{4}\! \left(x \right)
F_{15}\! \left(x \right) = F_{147}\! \left(x \right)+F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)+F_{19}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = F_{0}\! \left(x \right) F_{2}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right) F_{26}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)+F_{27}\! \left(x \right)
F_{22}\! \left(x \right) = F_{2}\! \left(x \right) F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = \frac{F_{24}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{24}\! \left(x \right) = F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{2}\! \left(x \right)+F_{6}\! \left(x \right)
F_{26}\! \left(x \right) = x
F_{27}\! \left(x \right) = F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = -F_{137}\! \left(x \right)+F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = \frac{F_{30}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{30}\! \left(x \right) = F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = -F_{135}\! \left(x \right)+F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = -F_{130}\! \left(x \right)+F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = \frac{F_{34}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = -F_{126}\! \left(x \right)+F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = -F_{129}\! \left(x \right)+F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{124}\! \left(x \right)+F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)+F_{5}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = -F_{5}\! \left(x \right)+F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{26}\! \left(x \right) F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = \frac{F_{44}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{14}\! \left(x \right)+F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{26}\! \left(x \right) F_{48}\! \left(x \right) F_{50}\! \left(x \right)
F_{48}\! \left(x \right) = \frac{F_{49}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{49}\! \left(x \right) = F_{9}\! \left(x \right)
F_{50}\! \left(x \right) = F_{2}\! \left(x \right)+F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{26}\! \left(x \right) F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = \frac{F_{54}\! \left(x \right)}{F_{102}\! \left(x \right) F_{26}\! \left(x \right)}
F_{54}\! \left(x \right) = F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = -F_{61}\! \left(x \right)+F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = \frac{F_{57}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{57}\! \left(x \right) = F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{26}\! \left(x \right) F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{61}\! \left(x \right)+F_{70}\! \left(x \right)
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)+F_{63}\! \left(x \right)
F_{62}\! \left(x \right) = F_{0}\! \left(x \right)+F_{58}\! \left(x \right)
F_{63}\! \left(x \right) = -F_{70}\! \left(x \right)+F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = \frac{F_{65}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{65}\! \left(x \right) = F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = \frac{F_{69}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{69}\! \left(x \right) = F_{2}\! \left(x \right)
F_{70}\! \left(x \right) = F_{117}\! \left(x \right)+F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{0}\! \left(x \right) F_{26}\! \left(x \right) F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = \frac{F_{74}\! \left(x \right)}{F_{26}\! \left(x \right) F_{4}\! \left(x \right)}
F_{74}\! \left(x \right) = F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = -F_{78}\! \left(x \right)+F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = \frac{F_{77}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{77}\! \left(x \right) = F_{66}\! \left(x \right)
F_{78}\! \left(x \right) = F_{79}\! \left(x \right)+F_{80}\! \left(x \right)
F_{79}\! \left(x \right) = F_{2}\! \left(x \right) F_{68}\! \left(x \right)
F_{80}\! \left(x \right) = F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{26}\! \left(x \right) F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{83}\! \left(x \right)+F_{84}\! \left(x \right)
F_{83}\! \left(x \right) = F_{2}\! \left(x \right) F_{62}\! \left(x \right) F_{73}\! \left(x \right)
F_{84}\! \left(x \right) = F_{85}\! \left(x \right)+F_{89}\! \left(x \right)
F_{85}\! \left(x \right) = F_{53}\! \left(x \right) F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{26}\! \left(x \right) F_{48}\! \left(x \right) F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{0}\! \left(x \right)+F_{51}\! \left(x \right)
F_{89}\! \left(x \right) = F_{115}\! \left(x \right) F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = F_{26}\! \left(x \right) F_{88}\! \left(x \right) F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = \frac{F_{93}\! \left(x \right)}{F_{113}\! \left(x \right)}
F_{93}\! \left(x \right) = -F_{96}\! \left(x \right)+F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = \frac{F_{95}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{95}\! \left(x \right) = F_{86}\! \left(x \right)
F_{96}\! \left(x \right) = F_{88}\! \left(x \right) F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{107}\! \left(x \right)+F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{0}\! \left(x \right) F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right)+F_{62}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right) F_{26}\! \left(x \right) F_{88}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)+F_{106}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right)+F_{62}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x \right)
F_{105}\! \left(x \right) = F_{103}\! \left(x \right) F_{26}\! \left(x \right) F_{88}\! \left(x \right)
F_{106}\! \left(x \right) = F_{100}\! \left(x \right)
F_{107}\! \left(x \right) = -F_{108}\! \left(x \right)+F_{48}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)+F_{111}\! \left(x \right)
F_{109}\! \left(x \right) = \frac{F_{110}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{110}\! \left(x \right) = F_{10}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right)
F_{112}\! \left(x \right) = F_{0}\! \left(x \right) F_{100}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right)
F_{114}\! \left(x \right) = F_{88} \left(x \right)^{2} F_{26}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right)
F_{116}\! \left(x \right) = F_{26}\! \left(x \right) F_{53}\! \left(x \right) F_{88}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right) F_{26}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)+F_{121}\! \left(x \right)
F_{120}\! \left(x \right) = F_{58}\! \left(x \right) F_{73}\! \left(x \right)
F_{121}\! \left(x \right) = F_{122}\! \left(x \right)+F_{123}\! \left(x \right)
F_{122}\! \left(x \right) = F_{100}\! \left(x \right) F_{53}\! \left(x \right)
F_{123}\! \left(x \right) = F_{104}\! \left(x \right) F_{115}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)+F_{126}\! \left(x \right)
F_{125}\! \left(x \right) = F_{2}\! \left(x \right) F_{25}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right) F_{26}\! \left(x \right) F_{50}\! \left(x \right)
F_{128}\! \left(x \right) = F_{107}\! \left(x \right)+F_{111}\! \left(x \right)
F_{129}\! \left(x \right) = F_{0}\! \left(x \right) F_{25}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right)+F_{22}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right)
F_{132}\! \left(x \right) = F_{133}\! \left(x \right) F_{26}\! \left(x \right) F_{50}\! \left(x \right)
F_{133}\! \left(x \right) = \frac{F_{134}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{134}\! \left(x \right) = F_{32}\! \left(x \right)
F_{135}\! \left(x \right) = F_{136}\! \left(x \right)
F_{136}\! \left(x \right) = F_{26}\! \left(x \right) F_{97}\! \left(x \right)
F_{137}\! \left(x \right) = -F_{145}\! \left(x \right)+F_{138}\! \left(x \right)
F_{138}\! \left(x \right) = \frac{F_{139}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{139}\! \left(x \right) = F_{140}\! \left(x \right)
F_{140}\! \left(x \right) = -F_{38}\! \left(x \right)+F_{141}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right) F_{26}\! \left(x \right)
F_{143}\! \left(x \right) = \frac{F_{144}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{144}\! \left(x \right) = F_{130}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right)
F_{146}\! \left(x \right) = F_{131}\! \left(x \right)+F_{32}\! \left(x \right)
F_{147}\! \left(x \right) = F_{148}\! \left(x \right)
F_{148}\! \left(x \right) = F_{26}\! \left(x \right) F_{50}\! \left(x \right) F_{92}\! \left(x \right)
System of equations in sympy syntax:
Eq(F_0(x), F_1(x) + F_2(x))
Eq(F_1(x), 1)
Eq(F_2(x), F_3(x))
Eq(F_3(x), F_26(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_2(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_26(x)*F_8(x))
Eq(F_8(x), F_45(x) + F_9(x))
Eq(F_9(x), F_10(x) + F_35(x))
Eq(F_10(x), F_11(x) + F_2(x))
Eq(F_11(x), F_12(x))
Eq(F_12(x), F_13(x)*F_26(x))
Eq(F_13(x), F_14(x) + F_15(x))
Eq(F_14(x), F_2(x)*F_4(x))
Eq(F_15(x), F_147(x) + F_16(x))
Eq(F_16(x), F_17(x) + F_19(x))
Eq(F_17(x), F_18(x))
Eq(F_18(x), F_0(x)*F_2(x))
Eq(F_19(x), F_20(x))
Eq(F_20(x), F_21(x)*F_26(x))
Eq(F_21(x), F_22(x) + F_27(x))
Eq(F_22(x), F_2(x)*F_23(x))
Eq(F_23(x), F_24(x)/F_26(x))
Eq(F_24(x), F_25(x))
Eq(F_25(x), F_2(x) + F_6(x))
Eq(F_26(x), x)
Eq(F_27(x), F_28(x))
Eq(F_28(x), -F_137(x) + F_29(x))
Eq(F_29(x), F_30(x)/F_26(x))
Eq(F_30(x), F_31(x))
Eq(F_31(x), -F_135(x) + F_32(x))
Eq(F_32(x), -F_130(x) + F_33(x))
Eq(F_33(x), F_34(x)/F_26(x))
Eq(F_34(x), F_35(x))
Eq(F_35(x), -F_126(x) + F_36(x))
Eq(F_36(x), -F_129(x) + F_37(x))
Eq(F_37(x), F_124(x) + F_38(x))
Eq(F_38(x), F_39(x) + F_5(x))
Eq(F_39(x), F_40(x))
Eq(F_40(x), F_41(x) - F_5(x))
Eq(F_41(x), F_42(x))
Eq(F_42(x), F_26(x)*F_43(x))
Eq(F_43(x), F_44(x)/F_26(x))
Eq(F_44(x), F_45(x))
Eq(F_45(x), F_14(x) + F_46(x))
Eq(F_46(x), F_47(x))
Eq(F_47(x), F_26(x)*F_48(x)*F_50(x))
Eq(F_48(x), F_49(x)/F_26(x))
Eq(F_49(x), F_9(x))
Eq(F_50(x), F_2(x) + F_51(x))
Eq(F_51(x), F_52(x))
Eq(F_52(x), F_26(x)*F_53(x))
Eq(F_53(x), F_54(x)/(F_102(x)*F_26(x)))
Eq(F_54(x), F_55(x))
Eq(F_55(x), F_56(x) - F_61(x))
Eq(F_56(x), F_57(x)/F_26(x))
Eq(F_57(x), F_58(x))
Eq(F_58(x), F_59(x))
Eq(F_59(x), F_26(x)*F_60(x))
Eq(F_60(x), F_61(x) + F_70(x))
Eq(F_61(x), F_62(x) + F_63(x))
Eq(F_62(x), F_0(x) + F_58(x))
Eq(F_63(x), F_64(x) - F_70(x))
Eq(F_64(x), F_65(x)/F_26(x))
Eq(F_65(x), F_66(x))
Eq(F_66(x), -F_2(x) + F_67(x))
Eq(F_67(x), -F_0(x) + F_68(x))
Eq(F_68(x), F_69(x)/F_26(x))
Eq(F_69(x), F_2(x))
Eq(F_70(x), F_117(x) + F_71(x))
Eq(F_71(x), F_72(x))
Eq(F_72(x), F_0(x)*F_26(x)*F_73(x))
Eq(F_73(x), F_74(x)/(F_26(x)*F_4(x)))
Eq(F_74(x), F_75(x))
Eq(F_75(x), F_76(x) - F_78(x))
Eq(F_76(x), F_77(x)/F_26(x))
Eq(F_77(x), F_66(x))
Eq(F_78(x), F_79(x) + F_80(x))
Eq(F_79(x), F_2(x)*F_68(x))
Eq(F_80(x), F_81(x))
Eq(F_81(x), F_26(x)*F_82(x))
Eq(F_82(x), F_83(x) + F_84(x))
Eq(F_83(x), F_2(x)*F_62(x)*F_73(x))
Eq(F_84(x), F_85(x) + F_89(x))
Eq(F_85(x), F_53(x)*F_86(x))
Eq(F_86(x), F_87(x))
Eq(F_87(x), F_26(x)*F_48(x)*F_88(x))
Eq(F_88(x), F_0(x) + F_51(x))
Eq(F_89(x), F_115(x)*F_90(x))
Eq(F_90(x), F_91(x))
Eq(F_91(x), F_26(x)*F_88(x)*F_92(x))
Eq(F_92(x), F_93(x)/F_113(x))
Eq(F_93(x), F_94(x) - F_96(x))
Eq(F_94(x), F_95(x)/F_26(x))
Eq(F_95(x), F_86(x))
Eq(F_96(x), F_88(x)*F_97(x))
Eq(F_97(x), F_107(x) + F_98(x))
Eq(F_98(x), F_0(x)*F_99(x))
Eq(F_99(x), F_100(x) + F_62(x))
Eq(F_100(x), F_101(x))
Eq(F_101(x), F_102(x)*F_26(x)*F_88(x))
Eq(F_102(x), F_103(x) + F_106(x))
Eq(F_103(x), F_104(x) + F_62(x))
Eq(F_104(x), F_105(x))
Eq(F_105(x), F_103(x)*F_26(x)*F_88(x))
Eq(F_106(x), F_100(x))
Eq(F_107(x), -F_108(x) + F_48(x))
Eq(F_108(x), F_109(x) + F_111(x))
Eq(F_109(x), F_110(x)/F_26(x))
Eq(F_110(x), F_10(x))
Eq(F_111(x), F_112(x))
Eq(F_112(x), F_0(x)*F_100(x))
Eq(F_113(x), F_114(x))
Eq(F_114(x), F_26(x)*F_88(x)**2)
Eq(F_115(x), F_116(x))
Eq(F_116(x), F_26(x)*F_53(x)*F_88(x))
Eq(F_117(x), F_118(x))
Eq(F_118(x), F_119(x)*F_26(x))
Eq(F_119(x), F_120(x) + F_121(x))
Eq(F_120(x), F_58(x)*F_73(x))
Eq(F_121(x), F_122(x) + F_123(x))
Eq(F_122(x), F_100(x)*F_53(x))
Eq(F_123(x), F_104(x)*F_115(x))
Eq(F_124(x), F_125(x) + F_126(x))
Eq(F_125(x), F_2(x)*F_25(x))
Eq(F_126(x), F_127(x))
Eq(F_127(x), F_128(x)*F_26(x)*F_50(x))
Eq(F_128(x), F_107(x) + F_111(x))
Eq(F_129(x), F_0(x)*F_25(x))
Eq(F_130(x), F_131(x) + F_22(x))
Eq(F_131(x), F_132(x))
Eq(F_132(x), F_133(x)*F_26(x)*F_50(x))
Eq(F_133(x), F_134(x)/F_26(x))
Eq(F_134(x), F_32(x))
Eq(F_135(x), F_136(x))
Eq(F_136(x), F_26(x)*F_97(x))
Eq(F_137(x), F_138(x) - F_145(x))
Eq(F_138(x), F_139(x)/F_26(x))
Eq(F_139(x), F_140(x))
Eq(F_140(x), F_141(x) - F_38(x))
Eq(F_141(x), F_142(x))
Eq(F_142(x), F_143(x)*F_26(x))
Eq(F_143(x), F_144(x)/F_26(x))
Eq(F_144(x), F_130(x))
Eq(F_145(x), F_146(x))
Eq(F_146(x), F_131(x) + F_32(x))
Eq(F_147(x), F_148(x))
Eq(F_148(x), F_26(x)*F_50(x)*F_92(x))
Pack JSON:
{"name": "point_placements_req_corrob", "initial_strats": [{"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 4, 1, 3], [0, 2, 4, 3, 1], [0, 4, 2, 1, 3], [0, 4, 2, 3, 1], [0, 4, 3, 2, 1], [2, 0, 4, 1, 3], [2, 0, 4, 3, 1]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 4, 1, 3], [0, 2, 4, 3, 1], [0, 4, 2, 1, 3], [0, 4, 2, 3, 1], [0, 4, 3, 2, 1], [2, 0, 4, 1, 3], [2, 0, 4, 3, 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, 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, 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": [2, 0, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 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": [[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], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 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, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 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, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 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, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 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, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 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, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 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, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 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, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 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, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], "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], [2, 0]], [[1, 1]]]}}, "idx": 0}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 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, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 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, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 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, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 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, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], "requirements": [], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": 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