02143_02413_02431_04213_04231_04321_20143_20413_20431
Counting sequence:
1, 1, 2, 6, 24, 111, 546, 2771, 14388, 76226, 411142, 2252125, 12498120, 70118395, 397026198, 2265851491, 13020160612, 75267956861, 437435210874, 2554329386598, 14979163194126, 88178846315197, 520896449682316, 3086833871923702, 18345606748612022, 109321220881407831, 653039245720478292, 3909810710867084466, 23457510166701536294, 141011174063658577813, 849205616043229793812, 5122805773804414855511, 30952205396277807479400, 187292902789687994099974, 1134901674715064669858244, 6885998480345348919496535, 41832610161439397743957250, 254432522851244821962403111, 1549218097685751689952831828, 9442990973759997952596120720, 57615639394680175349201227410, 351870981114483968654896866154, 2150892942323667109517739140002, 13159150465736648776882700153611, 80573708393092839912893496778244, 493740996717107375051273346434865, 3027821905738361981970946788340080, 18581154823614974570117903730603516, 114107225433883670724727976751481794, 701195798989733980632144564858023165, 4311611112979434893120179553967822214, 26527912083036650140212062019275357445, 163312526359359470234388805690343904902, 1005956464128374279575620771268497268971, 6199733201265174708108757680390471596146, 38228944908093871575860357881710717703386, 235846241052137749413803007504982592564254, 1455711171439351243155651535154272535493936, 8989256211427559064924056473090441734073308, 55535111257208165922511043891905441263172410, 343241889627759295296062773070737757716529004, 2122342192344144672079364659274545405037315541, 13128256688230417792455702364147378907656945044, 81239935182758714489441563870075144643733877229, 502918407724105517754258163958447953004909486676, 3114481824405362643439199017745903978847743077182, 19294319319127120330327981245269975190934750195584, 119570439163064068248773904275231528614336298557972, 741249489055615396386740292804768341061859929431516, 4596708092072747131333887320192151471622540208212349, 28514599780721413700382174746903609388664433957305994, 176938176962862351077078061039665532438234495255773407, 1098262033425795822069482369594772184767032583712879988, 6818941177766090001884488434272168440076236969454784216, 42349765921969784339837792264429642086828464186565082484, 263090317608125096894935598508024095140004549028349040537, 1634840220830455572426000502248563247220741611865896914134, 10161534636036238070335594151353527210791998063417140414433, 63176256728236603581230624519078901779119417886615750800194, 392876680069282060177532024811153645850425123102098540194734, 2443788778245828154939635023323828865436205491651696608016986, 15204548098414992707276976195718820221965161835114950012518733, 94620073610691357891459598500227286989011875379345622214945522, 588966415904967572224039653527236763509241068053406967868039610, 3666848133215637777277260445633448930295961609537649861462492938, 22834326168828866754854992382872446703038329145884793696856893357, 142224423607202557238781602507597892694662660001783092219059746732, 886030692989117513469869496983712669508985739065528888156965337084, 5520900521254555102964991893386101736464894938646314529913066081306, 34407703440275108071006980260462170512014154222026756052130812106685, 214478697808203220030435337474401213362575191877848366974071326190958, 1337191238458780585050343310143252839415014195227772562276310188071458, 8338385857269638767745492842192187483443795727908634743188079111644906, 52005328807045509089137603960809683164838465834128089166302726378996777, 324406418090214558278985278404493750735872950605455176515333489433379452, 2023975050424614440692744048620901834769581261790558431661286839767504628, 12629711812313858964350797619360161045531649677779743451740943481798106314, 78822968844226426125932023142700065861691481034928253391428993263469814573, 492018843657254777060704624073934714658686425540411342200730542844475165102, 3071700488285356957372953574374073475552260446533361470972697959259657730030, 19179744027561318693810635195685185551253292352355584430209082616263421208414
Implicit equation for the generating function in Maple syntax:
x^5*(2*x-1)*F(x)^10-3*(4*x+1)*(2*x-1)*x^4*F(x)^9+x^3*(2*x-1)*(40*x^2+45*x+3)*F(x)^8-x^2*(25*x^4+380*x^3-76*x^2-58*x-1)*F(x)^7-x^2*(125*x^4-469*x^3-474*x^2+271*x+33)*F(x)^6+x*(310*x^4-1297*x^3+68*x^2+235*x+6)*F(x)^5-x*(300*x^4-369*x^3-1056*x^2+429*x+70)*F(x)^4+(544*x^4-1160*x^3+3*x^2+200*x+4)*F(x)^3+(-240*x^4+136*x^3+501*x^2-213*x-14)*F(x)^2+(224*x^3-368*x^2+90*x+15)*F(x)-64*x^3+80*x^2-12*x-5 = 0
Implicit equation for the generating function in latex syntax:
x^{5} \left(2 x -1\right) F \! \left(x \right)^{10}-3 \left(4 x +1\right) \left(2 x -1\right) x^{4} F \! \left(x \right)^{9}+x^{3} \left(2 x -1\right) \left(40 x^{2}+45 x +3\right) F \! \left(x \right)^{8}-x^{2} \left(25 x^{4}+380 x^{3}-76 x^{2}-58 x -1\right) F \! \left(x \right)^{7}-x^{2} \left(125 x^{4}-469 x^{3}-474 x^{2}+271 x +33\right) F \! \left(x \right)^{6}+x \left(310 x^{4}-1297 x^{3}+68 x^{2}+235 x +6\right) F \! \left(x \right)^{5}-x \left(300 x^{4}-369 x^{3}-1056 x^{2}+429 x +70\right) F \! \left(x \right)^{4}+\left(544 x^{4}-1160 x^{3}+3 x^{2}+200 x +4\right) F \! \left(x \right)^{3}+\left(-240 x^{4}+136 x^{3}+501 x^{2}-213 x -14\right) F \! \left(x \right)^{2}+\left(224 x^{3}-368 x^{2}+90 x +15\right) F \! \left(x \right)-64 x^{3}+80 x^{2}-12 x -5 = 0
Recurrence in maple format:
a(0) = 1
a(1) = 1
a(2) = 2
a(3) = 6
a(4) = 24
a(5) = 111
a(6) = 546
a(7) = 2771
a(8) = 14388
a(9) = 76226
a(10) = 411142
a(11) = 2252125
a(12) = 12498120
a(13) = 70118395
a(14) = 397026198
a(15) = 2265851491
a(16) = 13020160612
a(17) = 75267956861
a(18) = 437435210874
a(19) = 2554329386598
a(20) = 14979163194126
a(21) = 88178846315197
a(22) = 520896449682316
a(23) = 3086833871923702
a(24) = 18345606748612022
a(25) = 109321220881407831
a(26) = 653039245720478292
a(27) = 3909810710867084466
a(28) = 23457510166701536294
a(29) = 141011174063658577813
a(30) = 849205616043229793812
a(31) = 5122805773804414855511
a(32) = 30952205396277807479400
a(33) = 187292902789687994099974
a(34) = 1134901674715064669858244
a(35) = 6885998480345348919496535
a(36) = 41832610161439397743957250
a(37) = 254432522851244821962403111
a(38) = 1549218097685751689952831828
a(39) = 9442990973759997952596120720
a(40) = 57615639394680175349201227410
a(41) = 351870981114483968654896866154
a(42) = 2150892942323667109517739140002
a(43) = 13159150465736648776882700153611
a(44) = 80573708393092839912893496778244
a(45) = 493740996717107375051273346434865
a(46) = 3027821905738361981970946788340080
a(47) = 18581154823614974570117903730603516
a(48) = 114107225433883670724727976751481794
a(49) = 701195798989733980632144564858023165
a(50) = 4311611112979434893120179553967822214
a(51) = 26527912083036650140212062019275357445
a(52) = 163312526359359470234388805690343904902
a(53) = 1005956464128374279575620771268497268971
a(54) = 6199733201265174708108757680390471596146
a(55) = 38228944908093871575860357881710717703386
a(56) = 235846241052137749413803007504982592564254
a(57) = 1455711171439351243155651535154272535493936
a(58) = 8989256211427559064924056473090441734073308
a(59) = 55535111257208165922511043891905441263172410
a(60) = 343241889627759295296062773070737757716529004
a(61) = 2122342192344144672079364659274545405037315541
a(62) = 13128256688230417792455702364147378907656945044
a(63) = 81239935182758714489441563870075144643733877229
a(64) = 502918407724105517754258163958447953004909486676
a(65) = 3114481824405362643439199017745903978847743077182
a(66) = 19294319319127120330327981245269975190934750195584
a(67) = 119570439163064068248773904275231528614336298557972
a(68) = 741249489055615396386740292804768341061859929431516
a(69) = 4596708092072747131333887320192151471622540208212349
a(70) = 28514599780721413700382174746903609388664433957305994
a(71) = 176938176962862351077078061039665532438234495255773407
a(72) = 1098262033425795822069482369594772184767032583712879988
a(73) = 6818941177766090001884488434272168440076236969454784216
a(74) = 42349765921969784339837792264429642086828464186565082484
a(75) = 263090317608125096894935598508024095140004549028349040537
a(76) = 1634840220830455572426000502248563247220741611865896914134
a(77) = 10161534636036238070335594151353527210791998063417140414433
a(78) = 63176256728236603581230624519078901779119417886615750800194
a(79) = 392876680069282060177532024811153645850425123102098540194734
a(80) = 2443788778245828154939635023323828865436205491651696608016986
a(n+81) = -3629222080539824282788950323056668950838056640625/166427189502976*n*(2*n+5)*(2*n+3)*(2*n+1)*(n+5)*(n+4)*(n+3)*(n+2)*(n+1)/(n+77)/(2*n+163)/(2*n+161)/(2*n+159)/(n+82)/(n+81)/(n+80)/(n+79)/(n+78)*a(n)+41699442604561034296875/332854379005952*(2*n+5)*(2*n+3)*(n+5)*(n+4)*(n+3)*(n+2)*(n+1)*(11917083041330870931895555798*n^2+111288831330857531702294848617*n+251020765094006767266812816670)/(n+77)/(2*n+163)/(2*n+161)/(2*n+159)/(n+82)/(n+81)/(n+80)/(n+79)/(n+78)*a(n+1)-3005365232761155625/998563137017856*(2*n+5)*(n+5)*(n+4)*(n+3)*(n+2)*(16092343804646853543321846083076724*n^4+331111252499196583030935458167844540*n^3+2524623403585114253772427415519108091*n^2+8427540676381900765809133716682413705*n+10351680407104872724384095966591341550)/(n+77)/(2*n+163)/(2*n+161)/(2*n+159)/(n+82)/(n+81)/(n+80)/(n+79)/(n+78)*a(n+2)-1/16360458436900552704000000000000000*(7356087237610047378576604258008455537036448139470157510749811073*n^9+3911696090948860821937737580772574872068655868291071349092666193998*n^8+924568813680309606987048719806317017288830792506711185242316214753030*n^7+127487864255803268098973089159639701989684301230014175654369978229961664*n^6+11301910336432403094359457520516250751300435907259298904029795564366200637*n^5+668009739437935704132453012600965491450654250181422735063170766951952111962*n^4+26324607435792152176319711736699336700448103106840213206199519465440900535420*n^3+666952892182674689485910623255252269521285298942398090334293602786338122097816*n^2+9857916217070385771374069527249385192158053758269269617366053151803763310417600*n+64763858117840922154221115225672624361625716049954742865829774476937427245542400)/(n+77)/(2*n+163)/(2*n+161)/(2*n+159)/(n+82)/(n+81)/(n+80)/(n+79)/(n+78)*a(n+59)+1/73622062966052487168000000000000000*(4896580361754260312321024718353708685594390028674864664249897501*n^9+2645173252799932691852117971058386262398671447683215422908510120268*n^8+635139037076048321301523816188784611294534942957743519543125070225664*n^7+88968551281512594252857770165042597918462507413184255542684206415120912*n^6+8012263169716925479249351169541564087939688554532637930411142035740429449*n^5+481082319289495388571102570083994298799490425385652414022160818344796669892*n^4+19258805553250685858351821200212808084856857819820225421691387170770982658866*n^3+495668191571159864030473566829005867254367092071572438521897286573838262987328*n^2+7442298271048155396433748269968514460703190919704742765148128285585301499818120*n+49668191635686294053714164020945194234865138026220636420119146061502584025974400)/(n+77)/(2*n+163)/(2*n+161)/(2*n+159)/(n+82)/(n+81)/(n+80)/(n+79)/(n+78)*a(n+60)-1/3272091687380110540800000000000000*(30081705274633731646436346891492847799437797803066155731980027*n^9+16504949067635214368188157921222588487041887685871469407575621954*n^8+4025100724843846143867327754702029243759203026706084065003946726338*n^7+572650615231868506846656597783562028071969801273611218011736270043816*n^6+52378261207921172608831144556078000191472184294024645441566705078159983*n^5+3194150134135497651368855566535623089677888074077147514789488354769730286*n^4+129868176398796773267170572848250666912720709253544825885603117386769843092*n^3+3394683764530003220865379185298236075683469451234666778378176494205389103144*n^2+51766362391888620952773585536376663713183337010609478418232181338947448647360*n+350871958670514116097996083003653208307275251773500857479309111737432548771200)/(n+77)/(2*n+163)/(2*n+161)/(2*n+159)/(n+82)/(n+81)/(n+80)/(n+79)/(n+78)*a(n+61)+1/981627506214033162240000000000000*(1164067428396286343323139366563397070239014139126839606366187*n^9+648554813920248688681946863625062607630826642997333394111829741*n^8+160606577546470410407398316760988011791644522442652899165440296762*n^7+23202118885981225572844582475899789555405200315866514779586654597210*n^6+2154952007027112805522409989814911501808603199205697026184897474487867*n^5+133440521688620698261510776306201250208648811148068654207154290462464589*n^4+5509070167887429442223445692381299116179452214361194903144379278185094608*n^3+146222875724858514531398896170296237191037751889720991182389902537890751340*n^2+2264130038932323385301207716461681884812269935819736897341598676905820513296*n+15582509179175208767110003197231883504777726146502852884286111268499958302720)/(n+77)/(2*n+163)/(2*n+161)/(2*n+159)/(n+82)/(n+81)/(n+80)/(n+79)/(n+78)*a(n+62)-1/490813753107016581120000000000000*(69934490113645127855644985514340024081319266546778011494599*n^9+39556933366399724334656281013473001134886394905212087877755929*n^8+9944869578176601231403819713294678605874482094929913867517917699*n^7+1458547004809126866087579382656594988258595472903409017442307193069*n^6+137525927745298134106749312674855617130069437223722820344242236660688*n^5+8645419921742679216865055839438510741557447597504852967071213650692986*n^4+362347465315839500218870020889742008482483091261020102004253088124779766*n^3+9763555298410815692860510893509469894236972225356770464384472866495447016*n^2+153474761473461050678796523580880851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463198897897021005137897231404714067926533361440225*n^3+42442832775521022417503921771416923497589720281676496169286080902297033608458202023645150*n^2+258702770188854230634013823310649098384792458973711317617715269634951518790550695911235304*n+701090038200070173665681707811847540816786215949249484557745360683503287297634595961065600)/(n+77)/(2*n+163)/(2*n+161)/(2*n+159)/(n+82)/(n+81)/(n+80)/(n+79)/(n+78)*a(n+23)-1/2300689467689140224000000000000000*(3734602352044269100943268644990602282668473625964778543786012761542425498999512*n^9+849495951682035747352638122980521505414406080025059967128848267932874480053137476*n^8+85921100706503422885590717509416491087973559577177913283723980448658515085248780406*n^7+5071685633031052438114001883273173300567953545084275553298903210886578406774340014043*n^6+192534934850666884907559105248255002805938077424438754857602862268611577076733670638269*n^5+4874822433394645375731934990649147250513687069773696675722101632844697123204494428976579*n^4+82317685905746416486858444107003672925449467439779745083630392628749781639546583455353709*n^3+893946217815767658088524959129417994031906211208016967991456958858242088393718452895615742*n^2+5665117403410647340626539975726321981431244103549511048077135568070131823041225053278063784*n+15961713780481268527222856892708692403077499329129378379608819362778735581380157209288209280)/(n+77)/(2*n+163)/(2*n+161)/(2*n+159)/(n+82)/(n+81)/(n+80)/(n+79)/(n+78)*a(n+24)+1/255632163076571136000000000000000*(349300711955473213651021606224082985513365454046410742310234427378484046592552*n^9+82488647868787293840106714393095820264810740557822564163934547098531771082575660*n^8+8661653446505952286074111039001243932206683980732661968530719310482686880868281566*n^7+530777664210074812000596341044175007441600095254373250436477399396370708386045435691*n^6+20918056814690943974610238752786351494246994236208409732181386084515372410838358174641*n^5+549813139111772033675772078145049740412965743867987450483902823847368602408519855859605*n^4+9638021694922051401058441447821980665538798751322799255446398962859951192416877688159009*n^3+108652408254742484205073158150662270513477664611401571787243269001840897816146105646294064*n^2+714769053373784256163098377955637552892061528762761383739479908252060790148376005620647492*n+2090555438485043779862413091526611676852899550447812858725556896891301372413733731536842880)/(n+77)/(2*n+163)/(2*n+161)/(2*n+159)/(n+82)/(n+81)/(n+80)/(n+79)/(n+78)*a(n+25)-1/1533792978459426816000000000000000*(1667896248831554101160214516700619432421579824186230510135433437716890736126464*n^9+408334135033394313763801787726679800704960359205258709706980316339345165976274796*n^8+44449287206359303992856142415468588571238473750833281305106159903848378176688095252*n^7+2823647639856361282944788692164597529618256409007062936553182731515815956824492289457*n^6+115357342312494170645844363743891056797537578885339303050743080851413528600038824164735*n^5+3143098851148025210063425691918178214117343829605480666922230606047179853831086729807339*n^4+57114137354344655986448532674372720739723169095804957456683834981730957026672493774522313*n^3+667424944410615362759373642617256787019401525999885349958086077522469213991612599225165448*n^2+4551258525651774841181990065505764886718558630882984743149605584865501091682151884814191316*n+13798320675728943489829446771125084034253057983465213677984951942621212900149205838378388000)/(n+77)/(2*n+163)/(2*n+161)/(2*n+159)/(n+82)/(n+81)/(n+80)/(n+79)/(n+78)*a(n+26), n >= 81
Recurrence in latex format:
a(0) = 1
a(1) = 1
a(2) = 2
a(3) = 6
a(4) = 24
a(5) = 111
a(6) = 546
a(7) = 2771
a(8) = 14388
a(9) = 76226
a(10) = 411142
a(11) = 2252125
a(12) = 12498120
a(13) = 70118395
a(14) = 397026198
a(15) = 2265851491
a(16) = 13020160612
a(17) = 75267956861
a(18) = 437435210874
a(19) = 2554329386598
a(20) = 14979163194126
a(21) = 88178846315197
a(22) = 520896449682316
a(23) = 3086833871923702
a(24) = 18345606748612022
a(25) = 109321220881407831
a(26) = 653039245720478292
a(27) = 3909810710867084466
a(28) = 23457510166701536294
a(29) = 141011174063658577813
a(30) = 849205616043229793812
a(31) = 5122805773804414855511
a(32) = 30952205396277807479400
a(33) = 187292902789687994099974
a(34) = 1134901674715064669858244
a(35) = 6885998480345348919496535
a(36) = 41832610161439397743957250
a(37) = 254432522851244821962403111
a(38) = 1549218097685751689952831828
a(39) = 9442990973759997952596120720
a(40) = 57615639394680175349201227410
a(41) = 351870981114483968654896866154
a(42) = 2150892942323667109517739140002
a(43) = 13159150465736648776882700153611
a(44) = 80573708393092839912893496778244
a(45) = 493740996717107375051273346434865
a(46) = 3027821905738361981970946788340080
a(47) = 18581154823614974570117903730603516
a(48) = 114107225433883670724727976751481794
a(49) = 701195798989733980632144564858023165
a(50) = 4311611112979434893120179553967822214
a(51) = 26527912083036650140212062019275357445
a(52) = 163312526359359470234388805690343904902
a(53) = 1005956464128374279575620771268497268971
a(54) = 6199733201265174708108757680390471596146
a(55) = 38228944908093871575860357881710717703386
a(56) = 235846241052137749413803007504982592564254
a(57) = 1455711171439351243155651535154272535493936
a(58) = 8989256211427559064924056473090441734073308
a(59) = 55535111257208165922511043891905441263172410
a(60) = 343241889627759295296062773070737757716529004
a(61) = 2122342192344144672079364659274545405037315541
a(62) = 13128256688230417792455702364147378907656945044
a(63) = 81239935182758714489441563870075144643733877229
a(64) = 502918407724105517754258163958447953004909486676
a(65) = 3114481824405362643439199017745903978847743077182
a(66) = 19294319319127120330327981245269975190934750195584
a(67) = 119570439163064068248773904275231528614336298557972
a(68) = 741249489055615396386740292804768341061859929431516
a(69) = 4596708092072747131333887320192151471622540208212349
a(70) = 28514599780721413700382174746903609388664433957305994
a(71) = 176938176962862351077078061039665532438234495255773407
a(72) = 1098262033425795822069482369594772184767032583712879988
a(73) = 6818941177766090001884488434272168440076236969454784216
a(74) = 42349765921969784339837792264429642086828464186565082484
a(75) = 263090317608125096894935598508024095140004549028349040537
a(76) = 1634840220830455572426000502248563247220741611865896914134
a(77) = 10161534636036238070335594151353527210791998063417140414433
a(78) = 63176256728236603581230624519078901779119417886615750800194
a(79) = 392876680069282060177532024811153645850425123102098540194734
a(80) = 2443788778245828154939635023323828865436205491651696608016986
a{\left(n + 81 \right)} = - \frac{3629222080539824282788950323056668950838056640625 n \left(n + 1\right) \left(n + 2\right) \left(n + 3\right) \left(n + 4\right) \left(n + 5\right) \left(2 n + 1\right) \left(2 n + 3\right) \left(2 n + 5\right) a{\left(n \right)}}{166427189502976 \left(n + 77\right) \left(n + 78\right) \left(n + 79\right) \left(n + 80\right) \left(n + 81\right) \left(n + 82\right) \left(2 n + 159\right) \left(2 n + 161\right) \left(2 n + 163\right)} + \frac{41699442604561034296875 \left(n + 1\right) \left(n + 2\right) \left(n + 3\right) \left(n + 4\right) \left(n + 5\right) \left(2 n + 3\right) \left(2 n + 5\right) \left(11917083041330870931895555798 n^{2} + 111288831330857531702294848617 n + 251020765094006767266812816670\right) a{\left(n + 1 \right)}}{332854379005952 \left(n + 77\right) \left(n + 78\right) \left(n + 79\right) \left(n + 80\right) \left(n + 81\right) \left(n + 82\right) \left(2 n + 159\right) \left(2 n + 161\right) \left(2 n + 163\right)} - \frac{3005365232761155625 \left(n + 2\right) \left(n + 3\right) \left(n + 4\right) \left(n + 5\right) \left(2 n + 5\right) \left(16092343804646853543321846083076724 n^{4} + 331111252499196583030935458167844540 n^{3} + 2524623403585114253772427415519108091 n^{2} + 8427540676381900765809133716682413705 n + 10351680407104872724384095966591341550\right) a{\left(n + 2 \right)}}{998563137017856 \left(n + 77\right) \left(n + 78\right) \left(n + 79\right) \left(n + 80\right) \left(n + 81\right) \left(n + 82\right) \left(2 n + 159\right) \left(2 n + 161\right) \left(2 n + 163\right)} + \frac{649808698975385 \left(n + 3\right) \left(n + 4\right) \left(n + 5\right) \left(6166991494796914996887732043679918126824 n^{6} + 208128280938044161792620013619131481994132 n^{5} + 2903504880211036335802204012899968056152834 n^{4} + 21401656584547110241219179570545687072219163 n^{3} + 87775971447073764961880059695265184307845597 n^{2} + 189619976586332336596883681892845513261381310 n + 168279398999963478618941304426449956716405000\right) a{\left(n + 3 \right)}}{3994252548071424 \left(n + 77\right) \left(n + 78\right) \left(n + 79\right) \left(n + 80\right) \left(n + 81\right) \left(n + 82\right) \left(2 n + 159\right) \left(2 n + 161\right) \left(2 n + 163\right)} - \frac{3512479453921 \left(n + 4\right) \left(n + 5\right) \left(8547108547810902295593005606205326333961832 n^{7} + 387863822348731929966295410042641327521855564 n^{6} + 7518345223412843297441750173430245815871495550 n^{5} + 80651575162548163771794882250705977182297725909 n^{4} + 516820145319494422477197582889035573181856376420 n^{3} + 1977284121399098762726216571823908778574389992673 n^{2} + 4179702226630490285727499818179558826583341703932 n + 3763816291969989255799639033105997575534978418988\right) a{\left(n + 4 \right)}}{3994252548071424 \left(n + 77\right) \left(n + 78\right) \left(n + 79\right) \left(n + 80\right) \left(n + 81\right) \left(n + 82\right) \left(2 n + 159\right) \left(2 n + 161\right) \left(2 n + 163\right)} + \frac{94931877133 \left(n + 5\right) \left(918315981652926271306154663694604924680439582968 n^{8} + 53246000639932563573249013142103693597582353555508 n^{7} + 1348123026724412903626043045142141194380206138489898 n^{6} + 19461464202330688237097149847576097392804306240909303 n^{5} + 175155929339341114654914972025988454894183464709976602 n^{4} + 1006164895349277764844351182900499838287190371861881797 n^{3} + 3601719375861414273318017130936146089296720322503474632 n^{2} + 7344118915897492414614695626584528929480008714649367252 n + 6529720857795748914888605622336455423264486181602274960\right) a{\left(n + 5 \right)}}{1997126274035712000 \left(n + 77\right) \left(n + 78\right) \left(n + 79\right) \left(n + 80\right) \left(n + 81\right) \left(n + 82\right) \left(2 n + 159\right) \left(2 n + 161\right) \left(2 n + 163\right)} + \frac{3 \left(10241047637561697 n^{2} + 1586064641248207082 n + 61400361468174582980\right) a{\left(n + 80 \right)}}{65010620899600 \left(n + 82\right) \left(2 n + 163\right)} - \frac{\left(559886122748238751891 n^{4} + 172337255452541588504852 n^{3} + 19891435256491249311186181 n^{2} + 1020344904721388618939836620 n + 19626182691656066605004260200\right) a{\left(n + 79 \right)}}{5200849671968000 \left(n + 81\right) \left(n + 82\right) \left(2 n + 161\right) \left(2 n + 163\right)} + \frac{\left(59277883937083237315185481 n^{6} + 27195698087951918801872289652 n^{5} + 5198510786921846586310755911965 n^{4} + 529955055538457268225376426516638 n^{3} + 30388162739690718625915891797178384 n^{2} + 929290562390782327984772885550420240 n + 11840512025339608947663081166528507200\right) a{\left(n + 78 \right)}}{3744611763816960000 \left(n + 80\right) \left(n + 81\right) \left(n + 82\right) \left(2 n + 159\right) \left(2 n + 161\right) \left(2 n + 163\right)} - \frac{\left(42340695050945489969865425163 n^{7} + 22410339356185516283929147156519 n^{6} + 5083384244229165900949832794583049 n^{5} + 640583717790236416612244530394640337 n^{4} + 48432978357998724744819223847132237568 n^{3} + 2197095316011876893771589597039128517484 n^{2} + 55370114640283395880509201759845260483560 n + 598021210631677689619473253599091655604000\right) a{\left(n + 77 \right)}}{49928156850892800000 \left(n + 79\right) \left(n + 80\right) \left(n + 81\right) \left(n + 82\right) \left(2 n + 159\right) \left(2 n + 161\right) \left(2 n + 163\right)} + \frac{\left(14137988455232771706603341403355 n^{8} + 8465919498659153690109227936032116 n^{7} + 2217852742733137483175536460741492560 n^{6} + 332007068305196921393078164413842076456 n^{5} + 31062482685235954525406801553603912992629 n^{4} + 1859941407384406942105449956672070284420880 n^{3} + 69604411815726300650628650459374382034240996 n^{2} + 1488437867337202586283047683185118920210774288 n + 13925067070150720651159709630782482754394697600\right) a{\left(n + 76 \right)}}{399425254807142400000 \left(n + 78\right) \left(n + 79\right) \left(n + 80\right) \left(n + 81\right) \left(n + 82\right) \left(2 n + 159\right) \left(2 n + 161\right) \left(2 n + 163\right)} - \frac{\left(575832360111252250909287324840213007 n^{9} + 384274600234156129104824902277674927467 n^{8} + 113972056876106089533956054583926603946522 n^{7} + 19718124330498766563625821244866042749000982 n^{6} + 2193012488348741733283522052415450896381911383 n^{5} + 162599523487095820976021470710012197978779346523 n^{4} + 8037115237561022941842688730924086548733276690448 n^{3} + 255381669979224655696452838575123630458354173176228 n^{2} + 4733586040294715464737489225774494167299877612569840 n + 38994436436328818756850927202272842765128127347968000\right) a{\left(n + 75 \right)}}{479310305768570880000000 \left(n + 77\right) \left(n + 78\right) \left(n + 79\right) \left(n + 80\right) \left(n + 81\right) \left(n + 82\right) \left(2 n + 159\right) \left(2 n + 161\right) \left(2 n + 163\right)} + \frac{\left(436597154374334671528774340823572931047 n^{9} + 287662666321095822434888872749739507308226 n^{8} + 84236418840501292030477508073815676125357934 n^{7} + 14388963728159470295650997894355808749150138940 n^{6} + 1580047610437811417767925988273145453513801798143 n^{5} + 115668806590154354677398253474819924904895178405354 n^{4} + 5645051237050115562061434607515190104352207141603276 n^{3} + 177105045311660261434372356839190054551629184046886680 n^{2} + 3241214989904447520065880821063857582101068261501340000 n + 26363278702892116276716488054849991960292144622260800000\right) a{\left(n + 74 \right)}}{12781608153828556800000000 \left(n + 77\right) \left(n + 78\right) \left(n + 79\right) \left(n + 80\right) \left(n + 81\right) \left(n + 82\right) \left(2 n + 159\right) \left(2 n + 161\right) \left(2 n + 163\right)} - \frac{\left(425140167846971023128595119652975388754587 n^{9} + 276516680920821986319017417078496929453172572 n^{8} + 79933176084239970606473342670300408802144282078 n^{7} + 13478724606230320908306340169816042976805596227408 n^{6} + 1461114841559867870174818188663375061380623779770883 n^{5} + 105591300870757909732052918215063953890125510091080388 n^{4} + 5087217573542419408641659152581857496537830415514048772 n^{3} + 157560281914534598482864305079107672691699304024001958032 n^{2} + 2846622782764199121839932438838765029212477051007223623680 n + 22857601945446689309636205908102456778145560391080584217600\right) a{\left(n + 73 \right)}}{511264326153142272000000000 \left(n + 77\right) \left(n + 78\right) \left(n + 79\right) \left(n + 80\right) \left(n + 81\right) \left(n + 82\right) \left(2 n + 159\right) \left(2 n + 161\right) \left(2 n + 163\right)} + \frac{\left(360432150722592659921674819729137138863863323 n^{9} + 231379705036020080225585276069157401078685929584 n^{8} + 66015562295177133269038637105363516817518258885462 n^{7} + 10987178798461519845305847277394864499526813985596096 n^{6} + 1175554328414699649277997015764774611475079159120882267 n^{5} + 83851396474119090898190923286423708262383556273751526896 n^{4} + 3987393941356193364634610088286836638783512883081887475828 n^{3} + 121894789277167699420170912003459015033076385212168814397024 n^{2} + 2173705870695285872019435017476320011924327395245531473622720 n + 17228081394369169085320741091274653884375402329171714985612800\right) a{\left(n + 72 \right)}}{20450573046125690880000000000 \left(n + 77\right) \left(n + 78\right) \left(n + 79\right) \left(n + 80\right) \left(n + 81\right) \left(n + 82\right) \left(2 n + 159\right) \left(2 n + 161\right) \left(2 n + 163\right)} - \frac{\left(13479078121319473630802237061940464156116529991 n^{9} + 8538805717244512819718304650075298780273758042886 n^{8} + 2404120418619685722946006592254894539420098377924260 n^{7} + 394854363264285427307904244893584282783125741403398038 n^{6} + 41690506429736989215376490936301650037999375747740117049 n^{5} + 2934616519099098912657752146385465313196807581403908994884 n^{4} + 137714506360475420826090346953283435310344206198564190101740 n^{3} + 4154589186397412790785190697491579341158339204010832638824272 n^{2} + 73113749443243996400839421292710304650107525692356446377554880 n + 571864945117957373216539655476624466358758425884420744524812800\right) a{\left(n + 71 \right)}}{40901146092251381760000000000 \left(n + 77\right) \left(n + 78\right) \left(n + 79\right) \left(n + 80\right) \left(n + 81\right) \left(n + 82\right) \left(2 n + 159\right) \left(2 n + 161\right) \left(2 n + 163\right)} + \frac{\left(898949623752600261805626109799336733926805972771 n^{9} + 561858769110743984388764090787213179899346805270739 n^{8} + 156078816538268043830332364908683648351210932567141102 n^{7} + 25292122068257505562558214206467227772016228970769046298 n^{6} + 2634807940133394072394008429655562926686402158474973235007 n^{5} + 182990910062163517669927006764522508976612080077082929288431 n^{4} + 8472803482932124375996924469513098671784236407713009203538688 n^{3} + 252201549474738416685744957211115104866720781148424651128280772 n^{2} + 4379191054201800767780725405853725711173123891705718339465842192 n + 33796089705469048440604571773060597043654540924284111190920112640\right) a{\left(n + 70 \right)}}{163604584369005527040000000000 \left(n + 77\right) \left(n + 78\right) \left(n + 79\right) \left(n + 80\right) \left(n + 81\right) \left(n + 82\right) \left(2 n + 159\right) \left(2 n + 161\right) \left(2 n + 163\right)} - \frac{94931877133 \left(810375154073136751461949467718668838643453440557428 n^{9} + 57996074683638525296241236862513840847885748428817580 n^{8} + 1841562507705176068313439898953786644126871779728416465 n^{7} + 34044939022501123236156558537737666295434426387359023750 n^{6} + 403742837060937590164752733006440276368453322107644096299 n^{5} + 3184596576750606007518531814702302527653870936922513961900 n^{4} + 16704162044217640268138399288225805642557868340641598792210 n^{3} + 56176024557052888861344685884116177978716370175515033976150 n^{2} + 109893329651594465459791560258106429586958542927291919382398 n + 95263779519750157381290467499495802044529671777087371411820\right) a{\left(n + 6 \right)}}{374461176381696000000 \left(n + 77\right) \left(n + 78\right) \left(n + 79\right) \left(n + 80\right) \left(n + 81\right) \left(n + 82\right) \left(2 n + 159\right) \left(2 n + 161\right) \left(2 n + 163\right)} - \frac{\left(9707366501062798671651114049176856764974953785436607 n^{9} + 5985012177394181950102867552133865113891730785015902710 n^{8} + 1640047835846240163205665093095694841012178211407456619486 n^{7} + 262165408789346751847845219002016443503652309396754425665428 n^{6} + 26941362546123500999529063010017426180518551697926867904972343 n^{5} + 1845795168858549482019541778085417966877837916016198919896716910 n^{4} + 84307741332122870986562565940485985591269078501308244063922521484 n^{3} + 2475582233370918474002845959492148430919514048583478896086519134792 n^{2} + 42404871725931967157407452830237674701075679694210256342755732615520 n + 322837185560660122442106020374101612393604156319454201567626397657600\right) a{\left(n + 69 \right)}}{117795300745683979468800000000000 \left(n + 77\right) \left(n + 78\right) \left(n + 79\right) \left(n + 80\right) \left(n + 81\right) \left(n + 82\right) \left(2 n + 159\right) \left(2 n + 161\right) \left(2 n + 163\right)} + \frac{94931877133 \left(42504979844326186482447302648883755479920630067435944 n^{9} + 3406415471716303495678348392553238564505124133215250700 n^{8} + 121215221327935125718533582274872928176421326467707701482 n^{7} + 2513270205121377541324753947906746965147078593881902229069 n^{6} + 33455508777630023664866024606992294216214709053855919237101 n^{5} + 296461203603843343517813406443017608435461019262886855240105 n^{4} + 1748540397967852090866148948187967293965260079461763010603513 n^{3} + 6618159149497519498632904529368552285421192505350873342980286 n^{2} + 14584774229165671527076835223944418007779118797189214003931400 n + 14256506544716407411947258901677822356224494037003255555046400\right) a{\left(n + 7 \right)}}{4992815685089280000000 \left(n + 77\right) \left(n + 78\right) \left(n + 79\right) \left(n + 80\right) \left(n + 81\right) \left(n + 82\right) \left(2 n + 159\right) \left(2 n + 161\right) \left(2 n + 163\right)} + \frac{\left(109937869100347432974033598900263581665500180750617321 n^{9} + 66849350949511838858357737034231745562334212575062528244 n^{8} + 18066658485979414713050246534867912004008417147304538529514 n^{7} + 2848320008305823640092355766386640452688892350176553286965176 n^{6} + 288687476620132247358983255079346835035677085056571609422327129 n^{5} + 19506970496960095061100564817381799448042664294932577855004040036 n^{4} + 878768866759317418161595624733071008783789140616026712598854551476 n^{3} + 25450036882989207966511552024122523628483794602257043189147083815344 n^{2} + 429965532445200325378784041973083245266333307630738933197168832065760 n + 3228577848207611879260747384212114764738792751972325929962718116515200\right) a{\left(n + 68 \right)}}{98162750621403316224000000000000 \left(n + 77\right) \left(n + 78\right) \left(n + 79\right) \left(n + 80\right) \left(n + 81\right) \left(n + 82\right) \left(2 n + 159\right) \left(2 n + 161\right) \left(2 n + 163\right)} - \frac{\left(6810987317895755301976901177831546788367943026186440441 n^{9} + 4083743698011352897614187692940100140027210503977087720688 n^{8} + 1088279761676556721327006235694518185494450798195704963951544 n^{7} + 169182662892461179002365876637481275186052536098422165582155702 n^{6} + 16908392220610367769145879169875013979282989763557965298262402579 n^{5} + 1126612167053338510334542734809932032813775472603561918087183518002 n^{4} + 50046357369025852172620890598721513696821745603461135255767826550876 n^{3} + 1429230904287652646647756473357162202391235877320304563562050143987208 n^{2} + 23810404811732849399469194233840723026040781786935941605632795495498560 n + 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6820787290961471232782566737924316933426001423465651409945159709392006220603597034 n^{7} + 524216020282522610167159188783811419826325225969330039686562248514123865083385554138 n^{6} + 25907823770898969352702771650563899945787922480677684787275809106706674681358025416260 n^{5} + 853864065625513508551915054021850763998259939490627798827636451932262254055464298063319 n^{4} + 18766431072934563795107944676363574663612906428950588858187024505839300706565527260920346 n^{3} + 265224400789004920744141941416630075312577114122477697403257003519033782772754397693368852 n^{2} + 2187179104051287484120790380914455170525891308108676359202843972439792544889543366023065400 n + 8018495395229044237004680548329153217218402950883305914878828412327520976833105299872044800\right) a{\left(n + 32 \right)}}{2045057304612569088000000000000000 \left(n + 77\right) \left(n + 78\right) \left(n + 79\right) \left(n + 80\right) \left(n + 81\right) \left(n + 82\right) \left(2 n + 159\right) \left(2 n + 161\right) \left(2 n + 163\right)} + \frac{\left(232918824934724932117458228635603231653906370483074195053501978644349160570216 n^{9} + 50953434707635820868105764659893108854337582168989730864934867119343311528294700 n^{8} + 4956483157112191849987364017759069636754626484230507309378380605585529511411531770 n^{7} + 281382119360468678819511822727163495635471344328120393695727221267944069407837164405 n^{6} + 10273816294690956946785997077044150504387008245770920664402281671823172527564821949365 n^{5} + 250187647835017254218212331549636030396782306581676456621054824253030483186483058048865 n^{4} + 4063411222941126145835496979687712741463198897897021005137897231404714067926533361440225 n^{3} + 42442832775521022417503921771416923497589720281676496169286080902297033608458202023645150 n^{2} + 258702770188854230634013823310649098384792458973711317617715269634951518790550695911235304 n + 701090038200070173665681707811847540816786215949249484557745360683503287297634595961065600\right) a{\left(n + 23 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1400164628010506477259969094744291889202129678207267161068393507551989618095415025870128340 n + 4543129419972115477736023536788051951210953136776665322835215986052782815006858684933351040\right) a{\left(n + 28 \right)}}{511264326153142272000000000000000 \left(n + 77\right) \left(n + 78\right) \left(n + 79\right) \left(n + 80\right) \left(n + 81\right) \left(n + 82\right) \left(2 n + 159\right) \left(2 n + 161\right) \left(2 n + 163\right)} + \frac{\left(349300711955473213651021606224082985513365454046410742310234427378484046592552 n^{9} + 82488647868787293840106714393095820264810740557822564163934547098531771082575660 n^{8} + 8661653446505952286074111039001243932206683980732661968530719310482686880868281566 n^{7} + 530777664210074812000596341044175007441600095254373250436477399396370708386045435691 n^{6} + 20918056814690943974610238752786351494246994236208409732181386084515372410838358174641 n^{5} + 549813139111772033675772078145049740412965743867987450483902823847368602408519855859605 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917190248436736897691275262346890074302292413428698910229178368860574403205516594979 n^{6} + 41420383906612549148948336728357974250268006218645867454458085656109529047185955384337 n^{5} + 1247458971640847889805104224655082112627274756265456263190789859194626006029325812044239 n^{4} + 25054891538406443045329563187874623451158002349305470626814340019860730130959440682223768 n^{3} + 323605009992278615885343290359482287412018718886344526783015762019286495222754995941206396 n^{2} + 2438896155014110193054529216606062798072793885444526140847421976337836255672627628038753216 n + 8171917986745066341925271435615850116555645181987695412573622981414330807398541393120686720\right) a{\left(n + 29 \right)}}{1022528652306284544000000000000000 \left(n + 77\right) \left(n + 78\right) \left(n + 79\right) \left(n + 80\right) \left(n + 81\right) \left(n + 82\right) \left(2 n + 159\right) \left(2 n + 161\right) \left(2 n + 163\right)} + \frac{\left(460925226861827958861070693993168904301156256855895243900993305880342531011006 n^{9} + 132637153995504000607428028656748249478622731517441384304445648696319224062093731 n^{8} + 16969132428071327925150635207809472280986371791879475805578977035955843257704501362 n^{7} + 1266808130140635570024527884085481020672561819742486490914400152910477954052212622796 n^{6} + 60815482781656747993081652917235907811451779399421539944722923074925473473904329615484 n^{5} + 1946980005082128962472803992452201899901187177900948429519371735776844222160722775703049 n^{4} + 41567168101616833395912479102207139445241785840292733146894422776827126745609737511561068 n^{3} + 570669016417273089141128902032969118183440634772460270975459473635016434281387236369766504 n^{2} + 4571544081439151324297454149897209576119755656714709528715729524277392063614337675675827800 n + 16281127722922581858984754506279548736806032525214295936327755763700828927690676892776808960\right) a{\left(n + 31 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317721185942157243813780821398063622105723677772903176420336458888682689226316518456967700 n + 792497747411301995240418835148073191517761072591076342066850736956782920186088632018869200\right) a{\left(n + 21 \right)}}{287586183461142528000000000000000 \left(n + 77\right) \left(n + 78\right) \left(n + 79\right) \left(n + 80\right) \left(n + 81\right) \left(n + 82\right) \left(2 n + 159\right) \left(2 n + 161\right) \left(2 n + 163\right)} + \frac{\left(845307938926875684813816024680232588732910056219374642325058265897229749206681 n^{9} + 257585431633397237992833299326237605041652984851899518458663299343280883316510412 n^{8} + 34895641866661177625021730486733639551019805331051307652444618752187367512167159059 n^{7} + 2758432685708863017437948802727694790335023165434324433953254491054380882204797832813 n^{6} + 140213871774698207916667317678748470758879464104128452298799516248005863134620285868094 n^{5} + 4752800690802245767134568421105690572192857800724971178782616145357793487087565687562883 n^{4} + 107432723648243857832493985377313040232988048262748178766516933338033970590589431100507126 n^{3} + 1561550254772620410210065026624964950432221949758702343296192986543818000419192589862331372 n^{2} + 13243669334000435465846736206605094551993074657816011080837824694977190087198261780029835320 n + 49933568283388516770093488141504850530720313492391102983098630573467152318222371275551233280\right) a{\left(n + 33 \right)}}{18405515741513121792000000000000000 \left(n + 77\right) \left(n + 78\right) \left(n + 79\right) \left(n + 80\right) \left(n + 81\right) \left(n + 82\right) \left(2 n + 159\right) \left(2 n + 161\right) \left(2 n + 163\right)} - \frac{\left(1667896248831554101160214516700619432421579824186230510135433437716890736126464 n^{9} + 408334135033394313763801787726679800704960359205258709706980316339345165976274796 n^{8} + 44449287206359303992856142415468588571238473750833281305106159903848378176688095252 n^{7} + 2823647639856361282944788692164597529618256409007062936553182731515815956824492289457 n^{6} + 115357342312494170645844363743891056797537578885339303050743080851413528600038824164735 n^{5} + 3143098851148025210063425691918178214117343829605480666922230606047179853831086729807339 n^{4} + 57114137354344655986448532674372720739723169095804957456683834981730957026672493774522313 n^{3} + 667424944410615362759373642617256787019401525999885349958086077522469213991612599225165448 n^{2} + 4551258525651774841181990065505764886718558630882984743149605584865501091682151884814191316 n + 13798320675728943489829446771125084034253057983465213677984951942621212900149205838378388000\right) a{\left(n + 26 \right)}}{1533792978459426816000000000000000 \left(n + 77\right) \left(n + 78\right) \left(n + 79\right) \left(n + 80\right) \left(n + 81\right) \left(n + 82\right) \left(2 n + 159\right) \left(2 n + 161\right) \left(2 n + 163\right)} - \frac{\left(2297393908034114527174172653717256629610125490934986646630227548327467656953306 n^{9} + 641504955936936398870363570542243208687186166386568575960988875517434349885495225 n^{8} + 79640204897659401196066927415060370068149075894494074139304572814254417116081880876 n^{7} + 5769379506123191471462038520441773630364512668329209061514125117341887465221674571757 n^{6} + 268772691087205096712913200606409698217315945127144585883658751139023210698862789074075 n^{5} + 8350104675021305315386657470151066263054019415118799175523492963407553775075140683352270 n^{4} + 173000197219217800510408866525062894591915995254316780469853581410844139012093097858160459 n^{3} + 2304899669507012938298784940823072429694831491895610227681374158849140618925812577059528468 n^{2} + 17918745880902013561255406235619778439646501563738927650546080139619415429093050143570128044 n + 61931429291071928907896520886943445918278284914192910326866957955400014126992190928253141760\right) a{\left(n + 30 \right)}}{9202757870756560896000000000000000 \left(n + 77\right) \left(n + 78\right) \left(n + 79\right) \left(n + 80\right) \left(n + 81\right) \left(n + 82\right) \left(2 n + 159\right) \left(2 n + 161\right) \left(2 n + 163\right)} - \frac{\left(3734602352044269100943268644990602282668473625964778543786012761542425498999512 n^{9} + 849495951682035747352638122980521505414406080025059967128848267932874480053137476 n^{8} + 85921100706503422885590717509416491087973559577177913283723980448658515085248780406 n^{7} + 5071685633031052438114001883273173300567953545084275553298903210886578406774340014043 n^{6} + 192534934850666884907559105248255002805938077424438754857602862268611577076733670638269 n^{5} + 4874822433394645375731934990649147250513687069773696675722101632844697123204494428976579 n^{4} + 82317685905746416486858444107003672925449467439779745083630392628749781639546583455353709 n^{3} + 893946217815767658088524959129417994031906211208016967991456958858242088393718452895615742 n^{2} + 5665117403410647340626539975726321981431244103549511048077135568070131823041225053278063784 n + 15961713780481268527222856892708692403077499329129378379608819362778735581380157209288209280\right) a{\left(n + 24 \right)}}{2300689467689140224000000000000000 \left(n + 77\right) \left(n + 78\right) \left(n + 79\right) \left(n + 80\right) \left(n + 81\right) \left(n + 82\right) \left(2 n + 159\right) \left(2 n + 161\right) \left(2 n + 163\right)} + \frac{\left(3765695213455176802617928422469180164619651522872373740165765979894967193846020 n^{9} + 954462499784573757290530807155975457442945536849631142065805034843259969934739584 n^{8} + 107563740770195428776013354782322529700660540830237974247071618855119894214975595349 n^{7} + 7073935601896151099345383143846438149894374177880516224457652548582431597215944279871 n^{6} + 299183517382759368614158467553015627695699834589477353567361258870624214541826153440153 n^{5} + 8438889824517148496879136115363366004383403904169470025071890581639774943703416761352121 n^{4} + 158744797533963061434779870527153135600548640972280282601520503697116430431566766794680066 n^{3} + 1920354329024761934185840394654983659495106952133565538225910908343047139411950232325765884 n^{2} + 13555908987266603554307554377040943570384853531769745066622609271105421330214186033930749832 n + 42543911082378330942118412022041337557054923727112290168578952492713711877015081416020316800\right) a{\left(n + 27 \right)}}{4601378935378280448000000000000000 \left(n + 77\right) \left(n + 78\right) \left(n + 79\right) \left(n + 80\right) \left(n + 81\right) \left(n + 82\right) \left(2 n + 159\right) \left(2 n + 161\right) \left(2 n + 163\right)}, \quad n \geq 81
Specification 1
Strategy pack name: point_and_col_placements_req_corrob
Tree: http://www.permpal.com/tree/24468/
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[30,x]*F[4,x]
F[4,x] = F[1,x]+F[251,x]+F[5,x]
F[5,x] = F[30,x]*F[6,x]
F[6,x] = F[4,x]+F[7,x]
F[7,x] = F[8,x]
F[8,x] = F[30,x]*F[9,x]
F[9,x] = 1/F[30,x]*F[10,x]
F[10,x] = F[11,x]
F[11,x] = F[12,x]+F[13,x]
F[12,x] = F[2,x]*F[4,x]
F[13,x] = F[14,x]
F[14,x] = F[15,x]*F[208,x]*F[30,x]
F[15,x] = 1/F[30,x]*F[16,x]
F[16,x] = F[17,x]
F[17,x] = 1/F[30,x]*F[18,x]
F[18,x] = -F[40,x]-F[5,x]+F[19,x]
F[19,x] = F[20,x]
F[20,x] = F[21,x]*F[30,x]
F[21,x] = F[22,x]+F[6,x]
F[22,x] = -F[7,x]+F[23,x]
F[23,x] = F[24,x]+F[51,x]
F[24,x] = F[25,x]
F[25,x] = F[26,x]*F[44,x]
F[26,x] = F[27,x]+F[28,x]
F[27,x] = F[1,x]+F[28,x]
F[28,x] = F[29,x]
F[29,x] = F[30,x]*F[31,x]
F[30,x] = x
F[31,x] = F[32,x]+F[35,x]
F[32,x] = F[1,x]+F[33,x]
F[33,x] = F[34,x]
F[34,x] = F[30,x]*F[32,x]
F[35,x] = F[36,x]+F[39,x]
F[36,x] = F[37,x]
F[37,x] = F[30,x]*F[38,x]
F[38,x] = F[1,x]+F[36,x]
F[39,x] = F[40,x]+F[41,x]+F[43,x]
F[40,x] = 0
F[41,x] = F[30,x]*F[42,x]
F[42,x] = F[33,x]+F[39,x]
F[43,x] = F[30,x]*F[35,x]
F[44,x] = F[45,x]
F[45,x] = F[30,x]*F[46,x]
F[46,x] = F[32,x]+F[47,x]
F[47,x] = F[30,x]+F[48,x]
F[48,x] = F[40,x]+F[49,x]+F[50,x]
F[49,x] = F[30,x]*F[33,x]
F[50,x] = F[30,x]*F[47,x]
F[51,x] = F[375,x]+F[377,x]+F[40,x]+F[52,x]
F[52,x] = F[53,x]
F[53,x] = F[30,x]*F[54,x]
F[54,x] = F[347,x]+F[55,x]
F[55,x] = F[40,x]+F[56,x]+F[58,x]+F[59,x]
F[56,x] = F[57,x]
F[57,x] = F[30,x]*F[55,x]
F[58,x] = F[57,x]
F[59,x] = F[30,x]*F[60,x]
F[60,x] = 1/F[26,x]/F[30,x]*F[61,x]
F[61,x] = F[62,x]
F[62,x] = F[343,x]+F[63,x]
F[63,x] = -F[327,x]+F[64,x]
F[64,x] = F[65,x]
F[65,x] = F[264,x]+F[66,x]
F[66,x] = F[261,x]+F[67,x]
F[67,x] = F[0,x]*F[68,x]
F[68,x] = F[140,x]+F[40,x]+F[69,x]
F[69,x] = F[30,x]*F[70,x]
F[70,x] = F[71,x]+F[94,x]
F[71,x] = F[72,x]+F[73,x]
F[72,x] = F[1,x]+F[44,x]
F[73,x] = F[33,x]+F[74,x]
F[74,x] = F[40,x]+F[75,x]+F[77,x]
F[75,x] = F[30,x]*F[76,x]
F[76,x] = F[44,x]+F[74,x]
F[77,x] = F[30,x]*F[78,x]
F[78,x] = F[79,x]+F[84,x]
F[79,x] = F[33,x]+F[80,x]
F[80,x] = F[40,x]+F[81,x]+F[83,x]
F[81,x] = F[30,x]*F[82,x]
F[82,x] = F[33,x]+F[80,x]
F[83,x] = F[30,x]*F[79,x]
F[84,x] = F[85,x]+F[89,x]
F[85,x] = F[40,x]+F[86,x]+F[88,x]
F[86,x] = F[30,x]*F[87,x]
F[87,x] = F[30,x]+F[85,x]
F[88,x] = F[30,x]*F[33,x]
F[89,x] = F[40,x]+F[90,x]+F[92,x]+F[93,x]
F[90,x] = F[30,x]*F[91,x]
F[91,x] = F[48,x]+F[89,x]
F[92,x] = F[30,x]*F[80,x]
F[93,x] = F[30,x]*F[84,x]
F[94,x] = F[111,x]+F[95,x]
F[95,x] = F[36,x]+F[96,x]
F[96,x] = F[40,x]+F[97,x]+F[99,x]
F[97,x] = F[30,x]*F[98,x]
F[98,x] = F[44,x]+F[96,x]
F[99,x] = F[100,x]*F[30,x]
F[100,x] = F[101,x]+F[35,x]
F[101,x] = F[102,x]+F[106,x]
F[102,x] = F[103,x]+F[105,x]+F[40,x]
F[103,x] = F[104,x]*F[30,x]
F[104,x] = F[102,x]+F[30,x]
F[105,x] = F[30,x]*F[36,x]
F[106,x] = F[107,x]+F[109,x]+F[110,x]+F[40,x]
F[107,x] = F[108,x]*F[30,x]
F[108,x] = F[106,x]+F[48,x]
F[109,x] = F[30,x]*F[39,x]
F[110,x] = F[101,x]*F[30,x]
F[111,x] = F[112,x]+F[39,x]
F[112,x] = F[113,x]+F[115,x]+F[117,x]+F[40,x]
F[113,x] = F[114,x]*F[30,x]
F[114,x] = F[112,x]+F[74,x]
F[115,x] = F[116,x]*F[30,x]
F[116,x] = F[112,x]+F[96,x]
F[117,x] = F[118,x]*F[30,x]
F[118,x] = F[119,x]+F[126,x]
F[119,x] = F[120,x]+F[39,x]
F[120,x] = F[121,x]+F[123,x]+F[125,x]+F[40,x]
F[121,x] = F[122,x]*F[30,x]
F[122,x] = F[120,x]+F[80,x]
F[123,x] = F[124,x]*F[30,x]
F[124,x] = F[120,x]+F[39,x]
F[125,x] = F[119,x]*F[30,x]
F[126,x] = F[127,x]+F[133,x]
F[127,x] = F[128,x]+F[130,x]+F[132,x]+F[40,x]
F[128,x] = F[129,x]*F[30,x]
F[129,x] = F[127,x]+F[85,x]
F[130,x] = F[131,x]*F[30,x]
F[131,x] = F[102,x]+F[127,x]
F[132,x] = F[30,x]*F[39,x]
F[133,x] = F[134,x]+F[136,x]+F[138,x]+F[139,x]+F[40,x]
F[134,x] = F[135,x]*F[30,x]
F[135,x] = F[133,x]+F[89,x]
F[136,x] = F[137,x]*F[30,x]
F[137,x] = F[106,x]+F[133,x]
F[138,x] = F[120,x]*F[30,x]
F[139,x] = F[126,x]*F[30,x]
F[140,x] = F[141,x]*F[30,x]
F[141,x] = F[142,x]+F[153,x]+F[259,x]+F[40,x]
F[142,x] = F[143,x]*F[30,x]
F[143,x] = F[144,x]+F[152,x]
F[144,x] = F[141,x]+F[145,x]
F[145,x] = F[1,x]+F[146,x]+F[151,x]
F[146,x] = F[147,x]*F[30,x]
F[147,x] = 1/F[30,x]*F[148,x]
F[148,x] = -F[1,x]-F[149,x]+F[4,x]
F[149,x] = F[150,x]*F[30,x]
F[150,x] = F[145,x]+F[55,x]
F[151,x] = F[150,x]*F[30,x]
F[152,x] = F[141,x]
F[153,x] = F[154,x]*F[30,x]
F[154,x] = -F[147,x]+F[155,x]
F[155,x] = 1/F[30,x]*F[156,x]
F[156,x] = -F[1,x]-F[157,x]-F[181,x]+F[147,x]
F[157,x] = F[158,x]*F[30,x]
F[158,x] = 1/F[30,x]*F[159,x]
F[159,x] = -F[1,x]-F[160,x]-F[163,x]+F[6,x]
F[160,x] = F[161,x]*F[30,x]
F[161,x] = F[150,x]+F[162,x]
F[162,x] = F[55,x]
F[163,x] = F[164,x]*F[30,x]
F[164,x] = F[147,x]+F[165,x]
F[165,x] = 1/F[30,x]*F[166,x]
F[166,x] = -F[167,x]-F[169,x]-F[40,x]+F[55,x]
F[167,x] = F[168,x]
F[168,x] = F[30,x]*F[55,x]
F[169,x] = F[170,x]*F[30,x]
F[170,x] = F[171,x]+F[176,x]
F[171,x] = F[172,x]+F[174,x]
F[172,x] = F[173,x]+F[32,x]
F[173,x] = F[44,x]
F[174,x] = F[175,x]+F[79,x]
F[175,x] = F[74,x]
F[176,x] = F[177,x]+F[179,x]
F[177,x] = F[178,x]+F[35,x]
F[178,x] = F[96,x]
F[179,x] = F[119,x]+F[180,x]
F[180,x] = F[112,x]
F[181,x] = F[182,x]*F[30,x]
F[182,x] = F[144,x]+F[183,x]
F[183,x] = F[184,x]
F[184,x] = F[170,x]*F[185,x]*F[30,x]
F[185,x] = 1/F[15,x]/F[30,x]*F[186,x]
F[186,x] = F[187,x]
F[187,x] = -F[252,x]+F[188,x]
F[188,x] = 1/F[30,x]*F[189,x]
F[189,x] = F[190,x]
F[190,x] = -F[213,x]+F[191,x]
F[191,x] = F[19,x]+F[192,x]
F[192,x] = F[193,x]+F[196,x]+F[212,x]+F[40,x]
F[193,x] = F[194,x]*F[30,x]
F[194,x] = F[191,x]+F[195,x]
F[195,x] = F[192,x]
F[196,x] = F[197,x]*F[30,x]
F[197,x] = -F[202,x]+F[198,x]
F[198,x] = 1/F[30,x]*F[199,x]
F[199,x] = F[200,x]
F[200,x] = -F[19,x]+F[201,x]
F[201,x] = -F[4,x]+F[6,x]
F[202,x] = F[203,x]+F[204,x]
F[203,x] = F[2,x]*F[21,x]
F[204,x] = F[205,x]
F[205,x] = F[206,x]*F[208,x]*F[30,x]
F[206,x] = 1/F[30,x]*F[207,x]
F[207,x] = F[197,x]
F[208,x] = F[209,x]+F[33,x]
F[209,x] = -F[32,x]+F[210,x]
F[210,x] = 1/F[170,x]/F[30,x]*F[211,x]
F[211,x] = F[55,x]
F[212,x] = 0
F[213,x] = F[214,x]+F[251,x]+F[40,x]
F[214,x] = F[215,x]*F[30,x]
F[215,x] = 2*F[214,x]+F[216,x]+F[40,x]
F[216,x] = F[217,x]*F[30,x]
F[217,x] = F[218,x]+F[250,x]
F[218,x] = F[191,x]+F[219,x]
F[219,x] = F[1,x]+F[220,x]+F[227,x]
F[220,x] = F[221,x]*F[30,x]
F[221,x] = F[219,x]+F[222,x]
F[222,x] = F[223,x]
F[223,x] = F[220,x]+F[224,x]+F[40,x]
F[224,x] = F[225,x]
F[225,x] = -F[196,x]-F[226,x]-F[40,x]+F[17,x]
F[226,x] = F[217,x]*F[30,x]
F[227,x] = F[228,x]*F[30,x]
F[228,x] = -F[230,x]+F[229,x]
F[229,x] = F[197,x]+F[6,x]
F[230,x] = F[231,x]+F[232,x]
F[231,x] = F[191,x]
F[232,x] = F[233,x]
F[233,x] = F[234,x]*F[30,x]
F[234,x] = F[235,x]+F[236,x]
F[235,x] = F[21,x]*F[213,x]
F[236,x] = F[237,x]
F[237,x] = 1/F[30,x]*F[238,x]
F[238,x] = -F[241,x]-F[243,x]-F[40,x]+F[239,x]
F[239,x] = F[240,x]
F[240,x] = F[15,x]*F[185,x]*F[30,x]
F[241,x] = F[242,x]
F[242,x] = F[185,x]*F[217,x]*F[30,x]
F[243,x] = F[244,x]
F[244,x] = F[245,x]*F[30,x]
F[245,x] = F[246,x]
F[246,x] = F[185,x]*F[247,x]*F[30,x]
F[247,x] = 1/F[30,x]*F[248,x]
F[248,x] = F[249,x]
F[249,x] = 1/F[30,x]*F[224,x]
F[250,x] = F[17,x]
F[251,x] = F[218,x]*F[30,x]
F[252,x] = F[2,x]*F[253,x]
F[253,x] = F[144,x]+F[254,x]
F[254,x] = F[255,x]
F[255,x] = F[256,x]*F[26,x]*F[30,x]
F[256,x] = F[257,x]+F[258,x]
F[257,x] = F[46,x]+F[78,x]
F[258,x] = F[100,x]+F[118,x]
F[259,x] = -F[153,x]-F[157,x]-F[40,x]+F[260,x]
F[260,x] = -F[145,x]+F[147,x]
F[261,x] = F[223,x]*F[262,x]
F[262,x] = F[263,x]
F[263,x] = F[0,x]*F[30,x]*F[38,x]
F[264,x] = F[265,x]
F[265,x] = F[266,x]*F[30,x]
F[266,x] = F[267,x]+F[324,x]
F[267,x] = F[268,x]
F[268,x] = F[269,x]*F[30,x]
F[269,x] = 1/F[30,x]*F[270,x]
F[270,x] = F[271,x]
F[271,x] = -F[321,x]+F[272,x]
F[272,x] = F[273,x]+F[285,x]
F[273,x] = F[274,x]
F[274,x] = F[275,x]*F[30,x]*F[32,x]
F[275,x] = F[276,x]+F[282,x]
F[276,x] = F[277,x]+F[278,x]+F[279,x]
F[277,x] = F[0,x]+F[68,x]
F[278,x] = F[276,x]*F[30,x]
F[279,x] = F[280,x]*F[30,x]
F[280,x] = 1/F[30,x]*F[281,x]
F[281,x] = F[17,x]
F[282,x] = F[283,x]*F[33,x]
F[283,x] = 1/F[30,x]*F[284,x]
F[284,x] = F[223,x]
F[285,x] = F[286,x]+F[316,x]+F[40,x]
F[286,x] = F[287,x]*F[30,x]
F[287,x] = 1/F[30,x]*F[288,x]
F[288,x] = F[289,x]
F[289,x] = -F[64,x]+F[290,x]
F[290,x] = F[291,x]+F[63,x]
F[291,x] = F[292,x]+F[312,x]+F[40,x]
F[292,x] = F[293,x]
F[293,x] = F[294,x]*F[30,x]
F[294,x] = 2*F[293,x]+F[295,x]+F[40,x]
F[295,x] = F[296,x]*F[30,x]
F[296,x] = F[297,x]+F[308,x]
F[297,x] = F[298,x]*F[301,x]
F[298,x] = F[299,x]+F[300,x]
F[299,x] = F[32,x]+F[79,x]
F[300,x] = F[119,x]+F[35,x]
F[301,x] = F[210,x]+F[302,x]
F[302,x] = F[303,x]+F[87,x]
F[303,x] = F[304,x]+F[306,x]+F[307,x]+F[40,x]
F[304,x] = F[305,x]
F[305,x] = F[30,x]*F[302,x]
F[306,x] = F[30,x]*F[303,x]
F[307,x] = F[209,x]*F[30,x]
F[308,x] = F[210,x]*F[309,x]
F[309,x] = F[310,x]+F[311,x]
F[310,x] = F[47,x]+F[84,x]
F[311,x] = F[101,x]+F[126,x]
F[312,x] = F[30,x]*F[313,x]
F[313,x] = 1/F[30,x]*F[314,x]
F[314,x] = F[315,x]
F[315,x] = -F[4,x]+F[147,x]
F[316,x] = F[317,x]
F[317,x] = F[30,x]*F[318,x]
F[318,x] = F[319,x]+F[320,x]
F[319,x] = F[209,x]*F[276,x]
F[320,x] = F[283,x]*F[303,x]
F[321,x] = F[2,x]*F[322,x]
F[322,x] = 1/F[30,x]*F[323,x]
F[323,x] = F[2,x]
F[324,x] = F[223,x]*F[325,x]
F[325,x] = F[326,x]
F[326,x] = F[0,x]*F[30,x]*F[31,x]*F[38,x]
F[327,x] = F[328,x]
F[328,x] = F[30,x]*F[329,x]
F[329,x] = F[330,x]+F[338,x]
F[330,x] = F[331,x]+F[332,x]
F[331,x] = F[210,x]*F[215,x]
F[332,x] = F[302,x]*F[333,x]
F[333,x] = 2*F[334,x]+F[335,x]+F[40,x]
F[334,x] = F[30,x]*F[333,x]
F[335,x] = F[30,x]*F[336,x]
F[336,x] = F[228,x]+F[337,x]
F[337,x] = F[249,x]
F[338,x] = F[339,x]+F[340,x]
F[339,x] = F[210,x]*F[22,x]
F[340,x] = F[302,x]*F[341,x]
F[341,x] = F[342,x]
F[342,x] = F[247,x]*F[30,x]
F[343,x] = F[344,x]
F[344,x] = F[26,x]*F[30,x]*F[345,x]
F[345,x] = F[346,x]
F[346,x] = F[296,x]*F[30,x]
F[347,x] = F[348,x]
F[348,x] = F[30,x]*F[349,x]
F[349,x] = F[350,x]+F[374,x]
F[350,x] = F[33,x]*F[351,x]
F[351,x] = F[352,x]+F[360,x]
F[352,x] = F[298,x]*F[353,x]
F[353,x] = F[354,x]+F[357,x]
F[354,x] = F[355,x]+F[356,x]
F[355,x] = F[1,x]+F[30,x]
F[356,x] = F[33,x]+F[85,x]
F[357,x] = F[358,x]+F[359,x]
F[358,x] = F[102,x]+F[36,x]
F[359,x] = F[127,x]+F[39,x]
F[360,x] = F[31,x]*F[361,x]
F[361,x] = F[362,x]+F[366,x]
F[362,x] = F[363,x]+F[364,x]
F[363,x] = F[50,x]
F[364,x] = F[365,x]+F[40,x]+F[93,x]
F[365,x] = F[30,x]*F[362,x]
F[366,x] = F[367,x]+F[370,x]
F[367,x] = F[110,x]+F[368,x]+F[40,x]
F[368,x] = F[30,x]*F[369,x]
F[369,x] = F[363,x]+F[367,x]
F[370,x] = F[139,x]+F[371,x]+F[373,x]+F[40,x]
F[371,x] = F[30,x]*F[372,x]
F[372,x] = F[364,x]+F[370,x]
F[373,x] = F[30,x]*F[366,x]
F[374,x] = F[298,x]*F[31,x]*F[47,x]
F[375,x] = F[30,x]*F[376,x]
F[376,x] = F[165,x]+F[347,x]
F[377,x] = F[30,x]*F[378,x]
F[378,x] = 1/F[30,x]*F[379,x]
F[379,x] = F[260,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_{30}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{1}\! \left(x \right)+F_{251}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{30}\! \left(x \right) F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{4}\! \left(x \right)+F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{30}\! \left(x \right) F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = \frac{F_{10}\! \left(x \right)}{F_{30}\! \left(x \right)}
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)+F_{13}\! \left(x \right)
F_{12}\! \left(x \right) = F_{2}\! \left(x \right) F_{4}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right) F_{208}\! \left(x \right) F_{30}\! \left(x \right)
F_{15}\! \left(x \right) = \frac{F_{16}\! \left(x \right)}{F_{30}\! \left(x \right)}
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = \frac{F_{18}\! \left(x \right)}{F_{30}\! \left(x \right)}
F_{18}\! \left(x \right) = -F_{40}\! \left(x \right)-F_{5}\! \left(x \right)+F_{19}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right) F_{30}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)+F_{6}\! \left(x \right)
F_{22}\! \left(x \right) = -F_{7}\! \left(x \right)+F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)+F_{51}\! \left(x \right)
F_{24}\! \left(x \right) = F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right) F_{44}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)+F_{28}\! \left(x \right)
F_{27}\! \left(x \right) = F_{1}\! \left(x \right)+F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right) F_{31}\! \left(x \right)
F_{30}\! \left(x \right) = x
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)+F_{35}\! \left(x \right)
F_{32}\! \left(x \right) = F_{1}\! \left(x \right)+F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = F_{30}\! \left(x \right) F_{32}\! \left(x \right)
F_{35}\! \left(x \right) = F_{36}\! \left(x \right)+F_{39}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{30}\! \left(x \right) F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{1}\! \left(x \right)+F_{36}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)+F_{41}\! \left(x \right)+F_{43}\! \left(x \right)
F_{40}\! \left(x \right) = 0
F_{41}\! \left(x \right) = F_{30}\! \left(x \right) F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{33}\! \left(x \right)+F_{39}\! \left(x \right)
F_{43}\! \left(x \right) = F_{30}\! \left(x \right) F_{35}\! \left(x \right)
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{30}\! \left(x \right) F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{32}\! \left(x \right)+F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{30}\! \left(x \right)+F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{40}\! \left(x \right)+F_{49}\! \left(x \right)+F_{50}\! \left(x \right)
F_{49}\! \left(x \right) = F_{30}\! \left(x \right) F_{33}\! \left(x \right)
F_{50}\! \left(x \right) = F_{30}\! \left(x \right) F_{47}\! \left(x \right)
F_{51}\! \left(x \right) = F_{375}\! \left(x \right)+F_{377}\! \left(x \right)+F_{40}\! \left(x \right)+F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{30}\! \left(x \right) F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{347}\! \left(x \right)+F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{40}\! \left(x \right)+F_{56}\! \left(x \right)+F_{58}\! \left(x \right)+F_{59}\! \left(x \right)
F_{56}\! \left(x \right) = F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = F_{30}\! \left(x \right) F_{55}\! \left(x \right)
F_{58}\! \left(x \right) = F_{57}\! \left(x \right)
F_{59}\! \left(x \right) = F_{30}\! \left(x \right) F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = \frac{F_{61}\! \left(x \right)}{F_{26}\! \left(x \right) F_{30}\! \left(x \right)}
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{343}\! \left(x \right)+F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = -F_{327}\! \left(x \right)+F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{264}\! \left(x \right)+F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{261}\! \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) = F_{140}\! \left(x \right)+F_{40}\! \left(x \right)+F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{30}\! \left(x \right) F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{71}\! \left(x \right)+F_{94}\! \left(x \right)
F_{71}\! \left(x \right) = F_{72}\! \left(x \right)+F_{73}\! \left(x \right)
F_{72}\! \left(x \right) = F_{1}\! \left(x \right)+F_{44}\! \left(x \right)
F_{73}\! \left(x \right) = F_{33}\! \left(x \right)+F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{40}\! \left(x \right)+F_{75}\! \left(x \right)+F_{77}\! \left(x \right)
F_{75}\! \left(x \right) = F_{30}\! \left(x \right) F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{44}\! \left(x \right)+F_{74}\! \left(x \right)
F_{77}\! \left(x \right) = F_{30}\! \left(x \right) F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{79}\! \left(x \right)+F_{84}\! \left(x \right)
F_{79}\! \left(x \right) = F_{33}\! \left(x \right)+F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{40}\! \left(x \right)+F_{81}\! \left(x \right)+F_{83}\! \left(x \right)
F_{81}\! \left(x \right) = F_{30}\! \left(x \right) F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{33}\! \left(x \right)+F_{80}\! \left(x \right)
F_{83}\! \left(x \right) = F_{30}\! \left(x \right) F_{79}\! \left(x \right)
F_{84}\! \left(x \right) = F_{85}\! \left(x \right)+F_{89}\! \left(x \right)
F_{85}\! \left(x \right) = F_{40}\! \left(x \right)+F_{86}\! \left(x \right)+F_{88}\! \left(x \right)
F_{86}\! \left(x \right) = F_{30}\! \left(x \right) F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{30}\! \left(x \right)+F_{85}\! \left(x \right)
F_{88}\! \left(x \right) = F_{30}\! \left(x \right) F_{33}\! \left(x \right)
F_{89}\! \left(x \right) = F_{40}\! \left(x \right)+F_{90}\! \left(x \right)+F_{92}\! \left(x \right)+F_{93}\! \left(x \right)
F_{90}\! \left(x \right) = F_{30}\! \left(x \right) F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = F_{48}\! \left(x \right)+F_{89}\! \left(x \right)
F_{92}\! \left(x \right) = F_{30}\! \left(x \right) F_{80}\! \left(x \right)
F_{93}\! \left(x \right) = F_{30}\! \left(x \right) F_{84}\! \left(x \right)
F_{94}\! \left(x \right) = F_{111}\! \left(x \right)+F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{36}\! \left(x \right)+F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{40}\! \left(x \right)+F_{97}\! \left(x \right)+F_{99}\! \left(x \right)
F_{97}\! \left(x \right) = F_{30}\! \left(x \right) F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{44}\! \left(x \right)+F_{96}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right) F_{30}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)+F_{35}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right)+F_{106}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)+F_{105}\! \left(x \right)+F_{40}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right) F_{30}\! \left(x \right)
F_{104}\! \left(x \right) = F_{102}\! \left(x \right)+F_{30}\! \left(x \right)
F_{105}\! \left(x \right) = F_{30}\! \left(x \right) F_{36}\! \left(x \right)
F_{106}\! \left(x \right) = F_{107}\! \left(x \right)+F_{109}\! \left(x \right)+F_{110}\! \left(x \right)+F_{40}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right) F_{30}\! \left(x \right)
F_{108}\! \left(x \right) = F_{106}\! \left(x \right)+F_{48}\! \left(x \right)
F_{109}\! \left(x \right) = F_{30}\! \left(x \right) F_{39}\! \left(x \right)
F_{110}\! \left(x \right) = F_{101}\! \left(x \right) F_{30}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right)+F_{39}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)+F_{115}\! \left(x \right)+F_{117}\! \left(x \right)+F_{40}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right) F_{30}\! \left(x \right)
F_{114}\! \left(x \right) = F_{112}\! \left(x \right)+F_{74}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right) F_{30}\! \left(x \right)
F_{116}\! \left(x \right) = F_{112}\! \left(x \right)+F_{96}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right) F_{30}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right)+F_{126}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)+F_{39}\! \left(x \right)
F_{120}\! \left(x \right) = F_{121}\! \left(x \right)+F_{123}\! \left(x \right)+F_{125}\! \left(x \right)+F_{40}\! \left(x \right)
F_{121}\! \left(x \right) = F_{122}\! \left(x \right) F_{30}\! \left(x \right)
F_{122}\! \left(x \right) = F_{120}\! \left(x \right)+F_{80}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right) F_{30}\! \left(x \right)
F_{124}\! \left(x \right) = F_{120}\! \left(x \right)+F_{39}\! \left(x \right)
F_{125}\! \left(x \right) = F_{119}\! \left(x \right) F_{30}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right)+F_{133}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right)+F_{130}\! \left(x \right)+F_{132}\! \left(x \right)+F_{40}\! \left(x \right)
F_{128}\! \left(x \right) = F_{129}\! \left(x \right) F_{30}\! \left(x \right)
F_{129}\! \left(x \right) = F_{127}\! \left(x \right)+F_{85}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right) F_{30}\! \left(x \right)
F_{131}\! \left(x \right) = F_{102}\! \left(x \right)+F_{127}\! \left(x \right)
F_{132}\! \left(x \right) = F_{30}\! \left(x \right) F_{39}\! \left(x \right)
F_{133}\! \left(x \right) = F_{134}\! \left(x \right)+F_{136}\! \left(x \right)+F_{138}\! \left(x \right)+F_{139}\! \left(x \right)+F_{40}\! \left(x \right)
F_{134}\! \left(x \right) = F_{135}\! \left(x \right) F_{30}\! \left(x \right)
F_{135}\! \left(x \right) = F_{133}\! \left(x \right)+F_{89}\! \left(x \right)
F_{136}\! \left(x \right) = F_{137}\! \left(x \right) F_{30}\! \left(x \right)
F_{137}\! \left(x \right) = F_{106}\! \left(x \right)+F_{133}\! \left(x \right)
F_{138}\! \left(x \right) = F_{120}\! \left(x \right) F_{30}\! \left(x \right)
F_{139}\! \left(x \right) = F_{126}\! \left(x \right) F_{30}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right) F_{30}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right)+F_{153}\! \left(x \right)+F_{259}\! \left(x \right)+F_{40}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right) F_{30}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right)+F_{152}\! \left(x \right)
F_{144}\! \left(x \right) = F_{141}\! \left(x \right)+F_{145}\! \left(x \right)
F_{145}\! \left(x \right) = F_{1}\! \left(x \right)+F_{146}\! \left(x \right)+F_{151}\! \left(x \right)
F_{146}\! \left(x \right) = F_{147}\! \left(x \right) F_{30}\! \left(x \right)
F_{147}\! \left(x \right) = \frac{F_{148}\! \left(x \right)}{F_{30}\! \left(x \right)}
F_{148}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{149}\! \left(x \right)+F_{4}\! \left(x \right)
F_{149}\! \left(x \right) = F_{150}\! \left(x \right) F_{30}\! \left(x \right)
F_{150}\! \left(x \right) = F_{145}\! \left(x \right)+F_{55}\! \left(x \right)
F_{151}\! \left(x \right) = F_{150}\! \left(x \right) F_{30}\! \left(x \right)
F_{152}\! \left(x \right) = F_{141}\! \left(x \right)
F_{153}\! \left(x \right) = F_{154}\! \left(x \right) F_{30}\! \left(x \right)
F_{154}\! \left(x \right) = -F_{147}\! \left(x \right)+F_{155}\! \left(x \right)
F_{155}\! \left(x \right) = \frac{F_{156}\! \left(x \right)}{F_{30}\! \left(x \right)}
F_{156}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{157}\! \left(x \right)-F_{181}\! \left(x \right)+F_{147}\! \left(x \right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right) F_{30}\! \left(x \right)
F_{158}\! \left(x \right) = \frac{F_{159}\! \left(x \right)}{F_{30}\! \left(x \right)}
F_{159}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{160}\! \left(x \right)-F_{163}\! \left(x \right)+F_{6}\! \left(x \right)
F_{160}\! \left(x \right) = F_{161}\! \left(x \right) F_{30}\! \left(x \right)
F_{161}\! \left(x \right) = F_{150}\! \left(x \right)+F_{162}\! \left(x \right)
F_{162}\! \left(x \right) = F_{55}\! \left(x \right)
F_{163}\! \left(x \right) = F_{164}\! \left(x \right) F_{30}\! \left(x \right)
F_{164}\! \left(x \right) = F_{147}\! \left(x \right)+F_{165}\! \left(x \right)
F_{165}\! \left(x \right) = \frac{F_{166}\! \left(x \right)}{F_{30}\! \left(x \right)}
F_{166}\! \left(x \right) = -F_{167}\! \left(x \right)-F_{169}\! \left(x \right)-F_{40}\! \left(x \right)+F_{55}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right)
F_{168}\! \left(x \right) = F_{30}\! \left(x \right) F_{55}\! \left(x \right)
F_{169}\! \left(x \right) = F_{170}\! \left(x \right) F_{30}\! \left(x \right)
F_{170}\! \left(x \right) = F_{171}\! \left(x \right)+F_{176}\! \left(x \right)
F_{171}\! \left(x \right) = F_{172}\! \left(x \right)+F_{174}\! \left(x \right)
F_{172}\! \left(x \right) = F_{173}\! \left(x \right)+F_{32}\! \left(x \right)
F_{173}\! \left(x \right) = F_{44}\! \left(x \right)
F_{174}\! \left(x \right) = F_{175}\! \left(x \right)+F_{79}\! \left(x \right)
F_{175}\! \left(x \right) = F_{74}\! \left(x \right)
F_{176}\! \left(x \right) = F_{177}\! \left(x \right)+F_{179}\! \left(x \right)
F_{177}\! \left(x \right) = F_{178}\! \left(x \right)+F_{35}\! \left(x \right)
F_{178}\! \left(x \right) = F_{96}\! \left(x \right)
F_{179}\! \left(x \right) = F_{119}\! \left(x \right)+F_{180}\! \left(x \right)
F_{180}\! \left(x \right) = F_{112}\! \left(x \right)
F_{181}\! \left(x \right) = F_{182}\! \left(x \right) F_{30}\! \left(x \right)
F_{182}\! \left(x \right) = F_{144}\! \left(x \right)+F_{183}\! \left(x \right)
F_{183}\! \left(x \right) = F_{184}\! \left(x \right)
F_{184}\! \left(x \right) = F_{170}\! \left(x \right) F_{185}\! \left(x \right) F_{30}\! \left(x \right)
F_{185}\! \left(x \right) = \frac{F_{186}\! \left(x \right)}{F_{15}\! \left(x \right) F_{30}\! \left(x \right)}
F_{186}\! \left(x \right) = F_{187}\! \left(x \right)
F_{187}\! \left(x \right) = -F_{252}\! \left(x \right)+F_{188}\! \left(x \right)
F_{188}\! \left(x \right) = \frac{F_{189}\! \left(x \right)}{F_{30}\! \left(x \right)}
F_{189}\! \left(x \right) = F_{190}\! \left(x \right)
F_{190}\! \left(x \right) = -F_{213}\! \left(x \right)+F_{191}\! \left(x \right)
F_{191}\! \left(x \right) = F_{19}\! \left(x \right)+F_{192}\! \left(x \right)
F_{192}\! \left(x \right) = F_{193}\! \left(x \right)+F_{196}\! \left(x \right)+F_{212}\! \left(x \right)+F_{40}\! \left(x \right)
F_{193}\! \left(x \right) = F_{194}\! \left(x \right) F_{30}\! \left(x \right)
F_{194}\! \left(x \right) = F_{191}\! \left(x \right)+F_{195}\! \left(x \right)
F_{195}\! \left(x \right) = F_{192}\! \left(x \right)
F_{196}\! \left(x \right) = F_{197}\! \left(x \right) F_{30}\! \left(x \right)
F_{197}\! \left(x \right) = -F_{202}\! \left(x \right)+F_{198}\! \left(x \right)
F_{198}\! \left(x \right) = \frac{F_{199}\! \left(x \right)}{F_{30}\! \left(x \right)}
F_{199}\! \left(x \right) = F_{200}\! \left(x \right)
F_{200}\! \left(x \right) = -F_{19}\! \left(x \right)+F_{201}\! \left(x \right)
F_{201}\! \left(x \right) = -F_{4}\! \left(x \right)+F_{6}\! \left(x \right)
F_{202}\! \left(x \right) = F_{203}\! \left(x \right)+F_{204}\! \left(x \right)
F_{203}\! \left(x \right) = F_{2}\! \left(x \right) F_{21}\! \left(x \right)
F_{204}\! \left(x \right) = F_{205}\! \left(x \right)
F_{205}\! \left(x \right) = F_{206}\! \left(x \right) F_{208}\! \left(x \right) F_{30}\! \left(x \right)
F_{206}\! \left(x \right) = \frac{F_{207}\! \left(x \right)}{F_{30}\! \left(x \right)}
F_{207}\! \left(x \right) = F_{197}\! \left(x \right)
F_{208}\! \left(x \right) = F_{209}\! \left(x \right)+F_{33}\! \left(x \right)
F_{209}\! \left(x \right) = -F_{32}\! \left(x \right)+F_{210}\! \left(x \right)
F_{210}\! \left(x \right) = \frac{F_{211}\! \left(x \right)}{F_{170}\! \left(x \right) F_{30}\! \left(x \right)}
F_{211}\! \left(x \right) = F_{55}\! \left(x \right)
F_{212}\! \left(x \right) = 0
F_{213}\! \left(x \right) = F_{214}\! \left(x \right)+F_{251}\! \left(x \right)+F_{40}\! \left(x \right)
F_{214}\! \left(x \right) = F_{215}\! \left(x \right) F_{30}\! \left(x \right)
F_{215}\! \left(x \right) = 2 F_{214}\! \left(x \right)+F_{216}\! \left(x \right)+F_{40}\! \left(x \right)
F_{216}\! \left(x \right) = F_{217}\! \left(x \right) F_{30}\! \left(x \right)
F_{217}\! \left(x \right) = F_{218}\! \left(x \right)+F_{250}\! \left(x \right)
F_{218}\! \left(x \right) = F_{191}\! \left(x \right)+F_{219}\! \left(x \right)
F_{219}\! \left(x \right) = F_{1}\! \left(x \right)+F_{220}\! \left(x \right)+F_{227}\! \left(x \right)
F_{220}\! \left(x \right) = F_{221}\! \left(x \right) F_{30}\! \left(x \right)
F_{221}\! \left(x \right) = F_{219}\! \left(x \right)+F_{222}\! \left(x \right)
F_{222}\! \left(x \right) = F_{223}\! \left(x \right)
F_{223}\! \left(x \right) = F_{220}\! \left(x \right)+F_{224}\! \left(x \right)+F_{40}\! \left(x \right)
F_{224}\! \left(x \right) = F_{225}\! \left(x \right)
F_{225}\! \left(x \right) = -F_{196}\! \left(x \right)-F_{226}\! \left(x \right)-F_{40}\! \left(x \right)+F_{17}\! \left(x \right)
F_{226}\! \left(x \right) = F_{217}\! \left(x \right) F_{30}\! \left(x \right)
F_{227}\! \left(x \right) = F_{228}\! \left(x \right) F_{30}\! \left(x \right)
F_{228}\! \left(x \right) = -F_{230}\! \left(x \right)+F_{229}\! \left(x \right)
F_{229}\! \left(x \right) = F_{197}\! \left(x \right)+F_{6}\! \left(x \right)
F_{230}\! \left(x \right) = F_{231}\! \left(x \right)+F_{232}\! \left(x \right)
F_{231}\! \left(x \right) = F_{191}\! \left(x \right)
F_{232}\! \left(x \right) = F_{233}\! \left(x \right)
F_{233}\! \left(x \right) = F_{234}\! \left(x \right) F_{30}\! \left(x \right)
F_{234}\! \left(x \right) = F_{235}\! \left(x \right)+F_{236}\! \left(x \right)
F_{235}\! \left(x \right) = F_{21}\! \left(x \right) F_{213}\! \left(x \right)
F_{236}\! \left(x \right) = F_{237}\! \left(x \right)
F_{237}\! \left(x \right) = \frac{F_{238}\! \left(x \right)}{F_{30}\! \left(x \right)}
F_{238}\! \left(x \right) = -F_{241}\! \left(x \right)-F_{243}\! \left(x \right)-F_{40}\! \left(x \right)+F_{239}\! \left(x \right)
F_{239}\! \left(x \right) = F_{240}\! \left(x \right)
F_{240}\! \left(x \right) = F_{15}\! \left(x \right) F_{185}\! \left(x \right) F_{30}\! \left(x \right)
F_{241}\! \left(x \right) = F_{242}\! \left(x \right)
F_{242}\! \left(x \right) = F_{185}\! \left(x \right) F_{217}\! \left(x \right) F_{30}\! \left(x \right)
F_{243}\! \left(x \right) = F_{244}\! \left(x \right)
F_{244}\! \left(x \right) = F_{245}\! \left(x \right) F_{30}\! \left(x \right)
F_{245}\! \left(x \right) = F_{246}\! \left(x \right)
F_{246}\! \left(x \right) = F_{185}\! \left(x \right) F_{247}\! \left(x \right) F_{30}\! \left(x \right)
F_{247}\! \left(x \right) = \frac{F_{248}\! \left(x \right)}{F_{30}\! \left(x \right)}
F_{248}\! \left(x \right) = F_{249}\! \left(x \right)
F_{249}\! \left(x \right) = \frac{F_{224}\! \left(x \right)}{F_{30}\! \left(x \right)}
F_{250}\! \left(x \right) = F_{17}\! \left(x \right)
F_{251}\! \left(x \right) = F_{218}\! \left(x \right) F_{30}\! \left(x \right)
F_{252}\! \left(x \right) = F_{2}\! \left(x \right) F_{253}\! \left(x \right)
F_{253}\! \left(x \right) = F_{144}\! \left(x \right)+F_{254}\! \left(x \right)
F_{254}\! \left(x \right) = F_{255}\! \left(x \right)
F_{255}\! \left(x \right) = F_{256}\! \left(x \right) F_{26}\! \left(x \right) F_{30}\! \left(x \right)
F_{256}\! \left(x \right) = F_{257}\! \left(x \right)+F_{258}\! \left(x \right)
F_{257}\! \left(x \right) = F_{46}\! \left(x \right)+F_{78}\! \left(x \right)
F_{258}\! \left(x \right) = F_{100}\! \left(x \right)+F_{118}\! \left(x \right)
F_{259}\! \left(x \right) = -F_{153}\! \left(x \right)-F_{157}\! \left(x \right)-F_{40}\! \left(x \right)+F_{260}\! \left(x \right)
F_{260}\! \left(x \right) = -F_{145}\! \left(x \right)+F_{147}\! \left(x \right)
F_{261}\! \left(x \right) = F_{223}\! \left(x \right) F_{262}\! \left(x \right)
F_{262}\! \left(x \right) = F_{263}\! \left(x \right)
F_{263}\! \left(x \right) = F_{0}\! \left(x \right) F_{30}\! \left(x \right) F_{38}\! \left(x \right)
F_{264}\! \left(x \right) = F_{265}\! \left(x \right)
F_{265}\! \left(x \right) = F_{266}\! \left(x \right) F_{30}\! \left(x \right)
F_{266}\! \left(x \right) = F_{267}\! \left(x \right)+F_{324}\! \left(x \right)
F_{267}\! \left(x \right) = F_{268}\! \left(x \right)
F_{268}\! \left(x \right) = F_{269}\! \left(x \right) F_{30}\! \left(x \right)
F_{269}\! \left(x \right) = \frac{F_{270}\! \left(x \right)}{F_{30}\! \left(x \right)}
F_{270}\! \left(x \right) = F_{271}\! \left(x \right)
F_{271}\! \left(x \right) = -F_{321}\! \left(x \right)+F_{272}\! \left(x \right)
F_{272}\! \left(x \right) = F_{273}\! \left(x \right)+F_{285}\! \left(x \right)
F_{273}\! \left(x \right) = F_{274}\! \left(x \right)
F_{274}\! \left(x \right) = F_{275}\! \left(x \right) F_{30}\! \left(x \right) F_{32}\! \left(x \right)
F_{275}\! \left(x \right) = F_{276}\! \left(x \right)+F_{282}\! \left(x \right)
F_{276}\! \left(x \right) = F_{277}\! \left(x \right)+F_{278}\! \left(x \right)+F_{279}\! \left(x \right)
F_{277}\! \left(x \right) = F_{0}\! \left(x \right)+F_{68}\! \left(x \right)
F_{278}\! \left(x \right) = F_{276}\! \left(x \right) F_{30}\! \left(x \right)
F_{279}\! \left(x \right) = F_{280}\! \left(x \right) F_{30}\! \left(x \right)
F_{280}\! \left(x \right) = \frac{F_{281}\! \left(x \right)}{F_{30}\! \left(x \right)}
F_{281}\! \left(x \right) = F_{17}\! \left(x \right)
F_{282}\! \left(x \right) = F_{283}\! \left(x \right) F_{33}\! \left(x \right)
F_{283}\! \left(x \right) = \frac{F_{284}\! \left(x \right)}{F_{30}\! \left(x \right)}
F_{284}\! \left(x \right) = F_{223}\! \left(x \right)
F_{285}\! \left(x \right) = F_{286}\! \left(x \right)+F_{316}\! \left(x \right)+F_{40}\! \left(x \right)
F_{286}\! \left(x \right) = F_{287}\! \left(x \right) F_{30}\! \left(x \right)
F_{287}\! \left(x \right) = \frac{F_{288}\! \left(x \right)}{F_{30}\! \left(x \right)}
F_{288}\! \left(x \right) = F_{289}\! \left(x \right)
F_{289}\! \left(x \right) = -F_{64}\! \left(x \right)+F_{290}\! \left(x \right)
F_{290}\! \left(x \right) = F_{291}\! \left(x \right)+F_{63}\! \left(x \right)
F_{291}\! \left(x \right) = F_{292}\! \left(x \right)+F_{312}\! \left(x \right)+F_{40}\! \left(x \right)
F_{292}\! \left(x \right) = F_{293}\! \left(x \right)
F_{293}\! \left(x \right) = F_{294}\! \left(x \right) F_{30}\! \left(x \right)
F_{294}\! \left(x \right) = 2 F_{293}\! \left(x \right)+F_{295}\! \left(x \right)+F_{40}\! \left(x \right)
F_{295}\! \left(x \right) = F_{296}\! \left(x \right) F_{30}\! \left(x \right)
F_{296}\! \left(x \right) = F_{297}\! \left(x \right)+F_{308}\! \left(x \right)
F_{297}\! \left(x \right) = F_{298}\! \left(x \right) F_{301}\! \left(x \right)
F_{298}\! \left(x \right) = F_{299}\! \left(x \right)+F_{300}\! \left(x \right)
F_{299}\! \left(x \right) = F_{32}\! \left(x \right)+F_{79}\! \left(x \right)
F_{300}\! \left(x \right) = F_{119}\! \left(x \right)+F_{35}\! \left(x \right)
F_{301}\! \left(x \right) = F_{210}\! \left(x \right)+F_{302}\! \left(x \right)
F_{302}\! \left(x \right) = F_{303}\! \left(x \right)+F_{87}\! \left(x \right)
F_{303}\! \left(x \right) = F_{304}\! \left(x \right)+F_{306}\! \left(x \right)+F_{307}\! \left(x \right)+F_{40}\! \left(x \right)
F_{304}\! \left(x \right) = F_{305}\! \left(x \right)
F_{305}\! \left(x \right) = F_{30}\! \left(x \right) F_{302}\! \left(x \right)
F_{306}\! \left(x \right) = F_{30}\! \left(x \right) F_{303}\! \left(x \right)
F_{307}\! \left(x \right) = F_{209}\! \left(x \right) F_{30}\! \left(x \right)
F_{308}\! \left(x \right) = F_{210}\! \left(x \right) F_{309}\! \left(x \right)
F_{309}\! \left(x \right) = F_{310}\! \left(x \right)+F_{311}\! \left(x \right)
F_{310}\! \left(x \right) = F_{47}\! \left(x \right)+F_{84}\! \left(x \right)
F_{311}\! \left(x \right) = F_{101}\! \left(x \right)+F_{126}\! \left(x \right)
F_{312}\! \left(x \right) = F_{30}\! \left(x \right) F_{313}\! \left(x \right)
F_{313}\! \left(x \right) = \frac{F_{314}\! \left(x \right)}{F_{30}\! \left(x \right)}
F_{314}\! \left(x \right) = F_{315}\! \left(x \right)
F_{315}\! \left(x \right) = -F_{4}\! \left(x \right)+F_{147}\! \left(x \right)
F_{316}\! \left(x \right) = F_{317}\! \left(x \right)
F_{317}\! \left(x \right) = F_{30}\! \left(x \right) F_{318}\! \left(x \right)
F_{318}\! \left(x \right) = F_{319}\! \left(x \right)+F_{320}\! \left(x \right)
F_{319}\! \left(x \right) = F_{209}\! \left(x \right) F_{276}\! \left(x \right)
F_{320}\! \left(x \right) = F_{283}\! \left(x \right) F_{303}\! \left(x \right)
F_{321}\! \left(x \right) = F_{2}\! \left(x \right) F_{322}\! \left(x \right)
F_{322}\! \left(x \right) = \frac{F_{323}\! \left(x \right)}{F_{30}\! \left(x \right)}
F_{323}\! \left(x \right) = F_{2}\! \left(x \right)
F_{324}\! \left(x \right) = F_{223}\! \left(x \right) F_{325}\! \left(x \right)
F_{325}\! \left(x \right) = F_{326}\! \left(x \right)
F_{326}\! \left(x \right) = F_{0}\! \left(x \right) F_{30}\! \left(x \right) F_{31}\! \left(x \right) F_{38}\! \left(x \right)
F_{327}\! \left(x \right) = F_{328}\! \left(x \right)
F_{328}\! \left(x \right) = F_{30}\! \left(x \right) F_{329}\! \left(x \right)
F_{329}\! \left(x \right) = F_{330}\! \left(x \right)+F_{338}\! \left(x \right)
F_{330}\! \left(x \right) = F_{331}\! \left(x \right)+F_{332}\! \left(x \right)
F_{331}\! \left(x \right) = F_{210}\! \left(x \right) F_{215}\! \left(x \right)
F_{332}\! \left(x \right) = F_{302}\! \left(x \right) F_{333}\! \left(x \right)
F_{333}\! \left(x \right) = 2 F_{334}\! \left(x \right)+F_{335}\! \left(x \right)+F_{40}\! \left(x \right)
F_{334}\! \left(x \right) = F_{30}\! \left(x \right) F_{333}\! \left(x \right)
F_{335}\! \left(x \right) = F_{30}\! \left(x \right) F_{336}\! \left(x \right)
F_{336}\! \left(x \right) = F_{228}\! \left(x \right)+F_{337}\! \left(x \right)
F_{337}\! \left(x \right) = F_{249}\! \left(x \right)
F_{338}\! \left(x \right) = F_{339}\! \left(x \right)+F_{340}\! \left(x \right)
F_{339}\! \left(x \right) = F_{210}\! \left(x \right) F_{22}\! \left(x \right)
F_{340}\! \left(x \right) = F_{302}\! \left(x \right) F_{341}\! \left(x \right)
F_{341}\! \left(x \right) = F_{342}\! \left(x \right)
F_{342}\! \left(x \right) = F_{247}\! \left(x \right) F_{30}\! \left(x \right)
F_{343}\! \left(x \right) = F_{344}\! \left(x \right)
F_{344}\! \left(x \right) = F_{26}\! \left(x \right) F_{30}\! \left(x \right) F_{345}\! \left(x \right)
F_{345}\! \left(x \right) = F_{346}\! \left(x \right)
F_{346}\! \left(x \right) = F_{296}\! \left(x \right) F_{30}\! \left(x \right)
F_{347}\! \left(x \right) = F_{348}\! \left(x \right)
F_{348}\! \left(x \right) = F_{30}\! \left(x \right) F_{349}\! \left(x \right)
F_{349}\! \left(x \right) = F_{350}\! \left(x \right)+F_{374}\! \left(x \right)
F_{350}\! \left(x \right) = F_{33}\! \left(x \right) F_{351}\! \left(x \right)
F_{351}\! \left(x \right) = F_{352}\! \left(x \right)+F_{360}\! \left(x \right)
F_{352}\! \left(x \right) = F_{298}\! \left(x \right) F_{353}\! \left(x \right)
F_{353}\! \left(x \right) = F_{354}\! \left(x \right)+F_{357}\! \left(x \right)
F_{354}\! \left(x \right) = F_{355}\! \left(x \right)+F_{356}\! \left(x \right)
F_{355}\! \left(x \right) = F_{1}\! \left(x \right)+F_{30}\! \left(x \right)
F_{356}\! \left(x \right) = F_{33}\! \left(x \right)+F_{85}\! \left(x \right)
F_{357}\! \left(x \right) = F_{358}\! \left(x \right)+F_{359}\! \left(x \right)
F_{358}\! \left(x \right) = F_{102}\! \left(x \right)+F_{36}\! \left(x \right)
F_{359}\! \left(x \right) = F_{127}\! \left(x \right)+F_{39}\! \left(x \right)
F_{360}\! \left(x \right) = F_{31}\! \left(x \right) F_{361}\! \left(x \right)
F_{361}\! \left(x \right) = F_{362}\! \left(x \right)+F_{366}\! \left(x \right)
F_{362}\! \left(x \right) = F_{363}\! \left(x \right)+F_{364}\! \left(x \right)
F_{363}\! \left(x \right) = F_{50}\! \left(x \right)
F_{364}\! \left(x \right) = F_{365}\! \left(x \right)+F_{40}\! \left(x \right)+F_{93}\! \left(x \right)
F_{365}\! \left(x \right) = F_{30}\! \left(x \right) F_{362}\! \left(x \right)
F_{366}\! \left(x \right) = F_{367}\! \left(x \right)+F_{370}\! \left(x \right)
F_{367}\! \left(x \right) = F_{110}\! \left(x \right)+F_{368}\! \left(x \right)+F_{40}\! \left(x \right)
F_{368}\! \left(x \right) = F_{30}\! \left(x \right) F_{369}\! \left(x \right)
F_{369}\! \left(x \right) = F_{363}\! \left(x \right)+F_{367}\! \left(x \right)
F_{370}\! \left(x \right) = F_{139}\! \left(x \right)+F_{371}\! \left(x \right)+F_{373}\! \left(x \right)+F_{40}\! \left(x \right)
F_{371}\! \left(x \right) = F_{30}\! \left(x \right) F_{372}\! \left(x \right)
F_{372}\! \left(x \right) = F_{364}\! \left(x \right)+F_{370}\! \left(x \right)
F_{373}\! \left(x \right) = F_{30}\! \left(x \right) F_{366}\! \left(x \right)
F_{374}\! \left(x \right) = F_{298}\! \left(x \right) F_{31}\! \left(x \right) F_{47}\! \left(x \right)
F_{375}\! \left(x \right) = F_{30}\! \left(x \right) F_{376}\! \left(x \right)
F_{376}\! \left(x \right) = F_{165}\! \left(x \right)+F_{347}\! \left(x \right)
F_{377}\! \left(x \right) = F_{30}\! \left(x \right) F_{378}\! \left(x \right)
F_{378}\! \left(x \right) = \frac{F_{379}\! \left(x \right)}{F_{30}\! \left(x \right)}
F_{379}\! \left(x \right) = F_{260}\! \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_30(x)*F_4(x))
Eq(F_4(x), F_1(x) + F_251(x) + F_5(x))
Eq(F_5(x), F_30(x)*F_6(x))
Eq(F_6(x), F_4(x) + F_7(x))
Eq(F_7(x), F_8(x))
Eq(F_8(x), F_30(x)*F_9(x))
Eq(F_9(x), F_10(x)/F_30(x))
Eq(F_10(x), F_11(x))
Eq(F_11(x), F_12(x) + F_13(x))
Eq(F_12(x), F_2(x)*F_4(x))
Eq(F_13(x), F_14(x))
Eq(F_14(x), F_15(x)*F_208(x)*F_30(x))
Eq(F_15(x), F_16(x)/F_30(x))
Eq(F_16(x), F_17(x))
Eq(F_17(x), F_18(x)/F_30(x))
Eq(F_18(x), F_19(x) - F_40(x) - F_5(x))
Eq(F_19(x), F_20(x))
Eq(F_20(x), F_21(x)*F_30(x))
Eq(F_21(x), F_22(x) + F_6(x))
Eq(F_22(x), F_23(x) - F_7(x))
Eq(F_23(x), F_24(x) + F_51(x))
Eq(F_24(x), F_25(x))
Eq(F_25(x), F_26(x)*F_44(x))
Eq(F_26(x), F_27(x) + F_28(x))
Eq(F_27(x), F_1(x) + F_28(x))
Eq(F_28(x), F_29(x))
Eq(F_29(x), F_30(x)*F_31(x))
Eq(F_30(x), x)
Eq(F_31(x), F_32(x) + F_35(x))
Eq(F_32(x), F_1(x) + F_33(x))
Eq(F_33(x), F_34(x))
Eq(F_34(x), F_30(x)*F_32(x))
Eq(F_35(x), F_36(x) + F_39(x))
Eq(F_36(x), F_37(x))
Eq(F_37(x), F_30(x)*F_38(x))
Eq(F_38(x), F_1(x) + F_36(x))
Eq(F_39(x), F_40(x) + F_41(x) + F_43(x))
Eq(F_40(x), 0)
Eq(F_41(x), F_30(x)*F_42(x))
Eq(F_42(x), F_33(x) + F_39(x))
Eq(F_43(x), F_30(x)*F_35(x))
Eq(F_44(x), F_45(x))
Eq(F_45(x), F_30(x)*F_46(x))
Eq(F_46(x), F_32(x) + F_47(x))
Eq(F_47(x), F_30(x) + F_48(x))
Eq(F_48(x), F_40(x) + F_49(x) + F_50(x))
Eq(F_49(x), F_30(x)*F_33(x))
Eq(F_50(x), F_30(x)*F_47(x))
Eq(F_51(x), F_375(x) + F_377(x) + F_40(x) + F_52(x))
Eq(F_52(x), F_53(x))
Eq(F_53(x), F_30(x)*F_54(x))
Eq(F_54(x), F_347(x) + F_55(x))
Eq(F_55(x), F_40(x) + F_56(x) + F_58(x) + F_59(x))
Eq(F_56(x), F_57(x))
Eq(F_57(x), F_30(x)*F_55(x))
Eq(F_58(x), F_57(x))
Eq(F_59(x), F_30(x)*F_60(x))
Eq(F_60(x), F_61(x)/(F_26(x)*F_30(x)))
Eq(F_61(x), F_62(x))
Eq(F_62(x), F_343(x) + F_63(x))
Eq(F_63(x), -F_327(x) + F_64(x))
Eq(F_64(x), F_65(x))
Eq(F_65(x), F_264(x) + F_66(x))
Eq(F_66(x), F_261(x) + F_67(x))
Eq(F_67(x), F_0(x)*F_68(x))
Eq(F_68(x), F_140(x) + F_40(x) + F_69(x))
Eq(F_69(x), F_30(x)*F_70(x))
Eq(F_70(x), F_71(x) + F_94(x))
Eq(F_71(x), F_72(x) + F_73(x))
Eq(F_72(x), F_1(x) + F_44(x))
Eq(F_73(x), F_33(x) + F_74(x))
Eq(F_74(x), F_40(x) + F_75(x) + F_77(x))
Eq(F_75(x), F_30(x)*F_76(x))
Eq(F_76(x), F_44(x) + F_74(x))
Eq(F_77(x), F_30(x)*F_78(x))
Eq(F_78(x), F_79(x) + F_84(x))
Eq(F_79(x), F_33(x) + F_80(x))
Eq(F_80(x), F_40(x) + F_81(x) + F_83(x))
Eq(F_81(x), F_30(x)*F_82(x))
Eq(F_82(x), F_33(x) + F_80(x))
Eq(F_83(x), F_30(x)*F_79(x))
Eq(F_84(x), F_85(x) + F_89(x))
Eq(F_85(x), F_40(x) + F_86(x) + F_88(x))
Eq(F_86(x), F_30(x)*F_87(x))
Eq(F_87(x), F_30(x) + F_85(x))
Eq(F_88(x), F_30(x)*F_33(x))
Eq(F_89(x), F_40(x) + F_90(x) + F_92(x) + F_93(x))
Eq(F_90(x), F_30(x)*F_91(x))
Eq(F_91(x), F_48(x) + F_89(x))
Eq(F_92(x), F_30(x)*F_80(x))
Eq(F_93(x), F_30(x)*F_84(x))
Eq(F_94(x), F_111(x) + F_95(x))
Eq(F_95(x), F_36(x) + F_96(x))
Eq(F_96(x), F_40(x) + F_97(x) + F_99(x))
Eq(F_97(x), F_30(x)*F_98(x))
Eq(F_98(x), F_44(x) + F_96(x))
Eq(F_99(x), F_100(x)*F_30(x))
Eq(F_100(x), F_101(x) + F_35(x))
Eq(F_101(x), F_102(x) + F_106(x))
Eq(F_102(x), F_103(x) + F_105(x) + F_40(x))
Eq(F_103(x), F_104(x)*F_30(x))
Eq(F_104(x), F_102(x) + F_30(x))
Eq(F_105(x), F_30(x)*F_36(x))
Eq(F_106(x), F_107(x) + F_109(x) + F_110(x) + F_40(x))
Eq(F_107(x), F_108(x)*F_30(x))
Eq(F_108(x), F_106(x) + F_48(x))
Eq(F_109(x), F_30(x)*F_39(x))
Eq(F_110(x), F_101(x)*F_30(x))
Eq(F_111(x), F_112(x) + F_39(x))
Eq(F_112(x), F_113(x) + F_115(x) + F_117(x) + F_40(x))
Eq(F_113(x), F_114(x)*F_30(x))
Eq(F_114(x), F_112(x) + F_74(x))
Eq(F_115(x), F_116(x)*F_30(x))
Eq(F_116(x), F_112(x) + F_96(x))
Eq(F_117(x), F_118(x)*F_30(x))
Eq(F_118(x), F_119(x) + F_126(x))
Eq(F_119(x), F_120(x) + F_39(x))
Eq(F_120(x), F_121(x) + F_123(x) + F_125(x) + F_40(x))
Eq(F_121(x), F_122(x)*F_30(x))
Eq(F_122(x), F_120(x) + F_80(x))
Eq(F_123(x), F_124(x)*F_30(x))
Eq(F_124(x), F_120(x) + F_39(x))
Eq(F_125(x), F_119(x)*F_30(x))
Eq(F_126(x), F_127(x) + F_133(x))
Eq(F_127(x), F_128(x) + F_130(x) + F_132(x) + F_40(x))
Eq(F_128(x), F_129(x)*F_30(x))
Eq(F_129(x), F_127(x) + F_85(x))
Eq(F_130(x), F_131(x)*F_30(x))
Eq(F_131(x), F_102(x) + F_127(x))
Eq(F_132(x), F_30(x)*F_39(x))
Eq(F_133(x), F_134(x) + F_136(x) + F_138(x) + F_139(x) + F_40(x))
Eq(F_134(x), F_135(x)*F_30(x))
Eq(F_135(x), F_133(x) + F_89(x))
Eq(F_136(x), F_137(x)*F_30(x))
Eq(F_137(x), F_106(x) + F_133(x))
Eq(F_138(x), F_120(x)*F_30(x))
Eq(F_139(x), F_126(x)*F_30(x))
Eq(F_140(x), F_141(x)*F_30(x))
Eq(F_141(x), F_142(x) + F_153(x) + F_259(x) + F_40(x))
Eq(F_142(x), F_143(x)*F_30(x))
Eq(F_143(x), F_144(x) + F_152(x))
Eq(F_144(x), F_141(x) + F_145(x))
Eq(F_145(x), F_1(x) + F_146(x) + F_151(x))
Eq(F_146(x), F_147(x)*F_30(x))
Eq(F_147(x), F_148(x)/F_30(x))
Eq(F_148(x), -F_1(x) - F_149(x) + F_4(x))
Eq(F_149(x), F_150(x)*F_30(x))
Eq(F_150(x), F_145(x) + F_55(x))
Eq(F_151(x), F_150(x)*F_30(x))
Eq(F_152(x), F_141(x))
Eq(F_153(x), F_154(x)*F_30(x))
Eq(F_154(x), -F_147(x) + F_155(x))
Eq(F_155(x), F_156(x)/F_30(x))
Eq(F_156(x), -F_1(x) + F_147(x) - F_157(x) - F_181(x))
Eq(F_157(x), F_158(x)*F_30(x))
Eq(F_158(x), F_159(x)/F_30(x))
Eq(F_159(x), -F_1(x) - F_160(x) - F_163(x) + F_6(x))
Eq(F_160(x), F_161(x)*F_30(x))
Eq(F_161(x), F_150(x) + F_162(x))
Eq(F_162(x), F_55(x))
Eq(F_163(x), F_164(x)*F_30(x))
Eq(F_164(x), F_147(x) + F_165(x))
Eq(F_165(x), F_166(x)/F_30(x))
Eq(F_166(x), -F_167(x) - F_169(x) - F_40(x) + F_55(x))
Eq(F_167(x), F_168(x))
Eq(F_168(x), F_30(x)*F_55(x))
Eq(F_169(x), F_170(x)*F_30(x))
Eq(F_170(x), F_171(x) + F_176(x))
Eq(F_171(x), F_172(x) + F_174(x))
Eq(F_172(x), F_173(x) + F_32(x))
Eq(F_173(x), F_44(x))
Eq(F_174(x), F_175(x) + F_79(x))
Eq(F_175(x), F_74(x))
Eq(F_176(x), F_177(x) + F_179(x))
Eq(F_177(x), F_178(x) + F_35(x))
Eq(F_178(x), F_96(x))
Eq(F_179(x), F_119(x) + F_180(x))
Eq(F_180(x), F_112(x))
Eq(F_181(x), F_182(x)*F_30(x))
Eq(F_182(x), F_144(x) + F_183(x))
Eq(F_183(x), F_184(x))
Eq(F_184(x), F_170(x)*F_185(x)*F_30(x))
Eq(F_185(x), F_186(x)/(F_15(x)*F_30(x)))
Eq(F_186(x), F_187(x))
Eq(F_187(x), F_188(x) - F_252(x))
Eq(F_188(x), F_189(x)/F_30(x))
Eq(F_189(x), F_190(x))
Eq(F_190(x), F_191(x) - F_213(x))
Eq(F_191(x), F_19(x) + F_192(x))
Eq(F_192(x), F_193(x) + F_196(x) + F_212(x) + F_40(x))
Eq(F_193(x), F_194(x)*F_30(x))
Eq(F_194(x), F_191(x) + F_195(x))
Eq(F_195(x), F_192(x))
Eq(F_196(x), F_197(x)*F_30(x))
Eq(F_197(x), F_198(x) - F_202(x))
Eq(F_198(x), F_199(x)/F_30(x))
Eq(F_199(x), F_200(x))
Eq(F_200(x), -F_19(x) + F_201(x))
Eq(F_201(x), -F_4(x) + F_6(x))
Eq(F_202(x), F_203(x) + F_204(x))
Eq(F_203(x), F_2(x)*F_21(x))
Eq(F_204(x), F_205(x))
Eq(F_205(x), F_206(x)*F_208(x)*F_30(x))
Eq(F_206(x), F_207(x)/F_30(x))
Eq(F_207(x), F_197(x))
Eq(F_208(x), F_209(x) + F_33(x))
Eq(F_209(x), F_210(x) - F_32(x))
Eq(F_210(x), F_211(x)/(F_170(x)*F_30(x)))
Eq(F_211(x), F_55(x))
Eq(F_212(x), 0)
Eq(F_213(x), F_214(x) + F_251(x) + F_40(x))
Eq(F_214(x), F_215(x)*F_30(x))
Eq(F_215(x), 2*F_214(x) + F_216(x) + F_40(x))
Eq(F_216(x), F_217(x)*F_30(x))
Eq(F_217(x), F_218(x) + F_250(x))
Eq(F_218(x), F_191(x) + F_219(x))
Eq(F_219(x), F_1(x) + F_220(x) + F_227(x))
Eq(F_220(x), F_221(x)*F_30(x))
Eq(F_221(x), F_219(x) + F_222(x))
Eq(F_222(x), F_223(x))
Eq(F_223(x), F_220(x) + F_224(x) + F_40(x))
Eq(F_224(x), F_225(x))
Eq(F_225(x), F_17(x) - F_196(x) - F_226(x) - F_40(x))
Eq(F_226(x), F_217(x)*F_30(x))
Eq(F_227(x), F_228(x)*F_30(x))
Eq(F_228(x), F_229(x) - F_230(x))
Eq(F_229(x), F_197(x) + F_6(x))
Eq(F_230(x), F_231(x) + F_232(x))
Eq(F_231(x), F_191(x))
Eq(F_232(x), F_233(x))
Eq(F_233(x), F_234(x)*F_30(x))
Eq(F_234(x), F_235(x) + F_236(x))
Eq(F_235(x), F_21(x)*F_213(x))
Eq(F_236(x), F_237(x))
Eq(F_237(x), F_238(x)/F_30(x))
Eq(F_238(x), F_239(x) - F_241(x) - F_243(x) - F_40(x))
Eq(F_239(x), F_240(x))
Eq(F_240(x), F_15(x)*F_185(x)*F_30(x))
Eq(F_241(x), F_242(x))
Eq(F_242(x), F_185(x)*F_217(x)*F_30(x))
Eq(F_243(x), F_244(x))
Eq(F_244(x), F_245(x)*F_30(x))
Eq(F_245(x), F_246(x))
Eq(F_246(x), F_185(x)*F_247(x)*F_30(x))
Eq(F_247(x), F_248(x)/F_30(x))
Eq(F_248(x), F_249(x))
Eq(F_249(x), F_224(x)/F_30(x))
Eq(F_250(x), F_17(x))
Eq(F_251(x), F_218(x)*F_30(x))
Eq(F_252(x), F_2(x)*F_253(x))
Eq(F_253(x), F_144(x) + F_254(x))
Eq(F_254(x), F_255(x))
Eq(F_255(x), F_256(x)*F_26(x)*F_30(x))
Eq(F_256(x), F_257(x) + F_258(x))
Eq(F_257(x), F_46(x) + F_78(x))
Eq(F_258(x), F_100(x) + F_118(x))
Eq(F_259(x), -F_153(x) - F_157(x) + F_260(x) - F_40(x))
Eq(F_260(x), -F_145(x) + F_147(x))
Eq(F_261(x), F_223(x)*F_262(x))
Eq(F_262(x), F_263(x))
Eq(F_263(x), F_0(x)*F_30(x)*F_38(x))
Eq(F_264(x), F_265(x))
Eq(F_265(x), F_266(x)*F_30(x))
Eq(F_266(x), F_267(x) + F_324(x))
Eq(F_267(x), F_268(x))
Eq(F_268(x), F_269(x)*F_30(x))
Eq(F_269(x), F_270(x)/F_30(x))
Eq(F_270(x), F_271(x))
Eq(F_271(x), F_272(x) - F_321(x))
Eq(F_272(x), F_273(x) + F_285(x))
Eq(F_273(x), F_274(x))
Eq(F_274(x), F_275(x)*F_30(x)*F_32(x))
Eq(F_275(x), F_276(x) + F_282(x))
Eq(F_276(x), F_277(x) + F_278(x) + F_279(x))
Eq(F_277(x), F_0(x) + F_68(x))
Eq(F_278(x), F_276(x)*F_30(x))
Eq(F_279(x), F_280(x)*F_30(x))
Eq(F_280(x), F_281(x)/F_30(x))
Eq(F_281(x), F_17(x))
Eq(F_282(x), F_283(x)*F_33(x))
Eq(F_283(x), F_284(x)/F_30(x))
Eq(F_284(x), F_223(x))
Eq(F_285(x), F_286(x) + F_316(x) + F_40(x))
Eq(F_286(x), F_287(x)*F_30(x))
Eq(F_287(x), F_288(x)/F_30(x))
Eq(F_288(x), F_289(x))
Eq(F_289(x), F_290(x) - F_64(x))
Eq(F_290(x), F_291(x) + F_63(x))
Eq(F_291(x), F_292(x) + F_312(x) + F_40(x))
Eq(F_292(x), F_293(x))
Eq(F_293(x), F_294(x)*F_30(x))
Eq(F_294(x), 2*F_293(x) + F_295(x) + F_40(x))
Eq(F_295(x), F_296(x)*F_30(x))
Eq(F_296(x), F_297(x) + F_308(x))
Eq(F_297(x), F_298(x)*F_301(x))
Eq(F_298(x), F_299(x) + F_300(x))
Eq(F_299(x), F_32(x) + F_79(x))
Eq(F_300(x), F_119(x) + F_35(x))
Eq(F_301(x), F_210(x) + F_302(x))
Eq(F_302(x), F_303(x) + F_87(x))
Eq(F_303(x), F_304(x) + F_306(x) + F_307(x) + F_40(x))
Eq(F_304(x), F_305(x))
Eq(F_305(x), F_30(x)*F_302(x))
Eq(F_306(x), F_30(x)*F_303(x))
Eq(F_307(x), F_209(x)*F_30(x))
Eq(F_308(x), F_210(x)*F_309(x))
Eq(F_309(x), F_310(x) + F_311(x))
Eq(F_310(x), F_47(x) + F_84(x))
Eq(F_311(x), F_101(x) + F_126(x))
Eq(F_312(x), F_30(x)*F_313(x))
Eq(F_313(x), F_314(x)/F_30(x))
Eq(F_314(x), F_315(x))
Eq(F_315(x), F_147(x) - F_4(x))
Eq(F_316(x), F_317(x))
Eq(F_317(x), F_30(x)*F_318(x))
Eq(F_318(x), F_319(x) + F_320(x))
Eq(F_319(x), F_209(x)*F_276(x))
Eq(F_320(x), F_283(x)*F_303(x))
Eq(F_321(x), F_2(x)*F_322(x))
Eq(F_322(x), F_323(x)/F_30(x))
Eq(F_323(x), F_2(x))
Eq(F_324(x), F_223(x)*F_325(x))
Eq(F_325(x), F_326(x))
Eq(F_326(x), F_0(x)*F_30(x)*F_31(x)*F_38(x))
Eq(F_327(x), F_328(x))
Eq(F_328(x), F_30(x)*F_329(x))
Eq(F_329(x), F_330(x) + F_338(x))
Eq(F_330(x), F_331(x) + F_332(x))
Eq(F_331(x), F_210(x)*F_215(x))
Eq(F_332(x), F_302(x)*F_333(x))
Eq(F_333(x), 2*F_334(x) + F_335(x) + F_40(x))
Eq(F_334(x), F_30(x)*F_333(x))
Eq(F_335(x), F_30(x)*F_336(x))
Eq(F_336(x), F_228(x) + F_337(x))
Eq(F_337(x), F_249(x))
Eq(F_338(x), F_339(x) + F_340(x))
Eq(F_339(x), F_210(x)*F_22(x))
Eq(F_340(x), F_302(x)*F_341(x))
Eq(F_341(x), F_342(x))
Eq(F_342(x), F_247(x)*F_30(x))
Eq(F_343(x), F_344(x))
Eq(F_344(x), F_26(x)*F_30(x)*F_345(x))
Eq(F_345(x), F_346(x))
Eq(F_346(x), F_296(x)*F_30(x))
Eq(F_347(x), F_348(x))
Eq(F_348(x), F_30(x)*F_349(x))
Eq(F_349(x), F_350(x) + F_374(x))
Eq(F_350(x), F_33(x)*F_351(x))
Eq(F_351(x), F_352(x) + F_360(x))
Eq(F_352(x), F_298(x)*F_353(x))
Eq(F_353(x), F_354(x) + F_357(x))
Eq(F_354(x), F_355(x) + F_356(x))
Eq(F_355(x), F_1(x) + F_30(x))
Eq(F_356(x), F_33(x) + F_85(x))
Eq(F_357(x), F_358(x) + F_359(x))
Eq(F_358(x), F_102(x) + F_36(x))
Eq(F_359(x), F_127(x) + F_39(x))
Eq(F_360(x), F_31(x)*F_361(x))
Eq(F_361(x), F_362(x) + F_366(x))
Eq(F_362(x), F_363(x) + F_364(x))
Eq(F_363(x), F_50(x))
Eq(F_364(x), F_365(x) + F_40(x) + F_93(x))
Eq(F_365(x), F_30(x)*F_362(x))
Eq(F_366(x), F_367(x) + F_370(x))
Eq(F_367(x), F_110(x) + F_368(x) + F_40(x))
Eq(F_368(x), F_30(x)*F_369(x))
Eq(F_369(x), F_363(x) + F_367(x))
Eq(F_370(x), F_139(x) + F_371(x) + F_373(x) + F_40(x))
Eq(F_371(x), F_30(x)*F_372(x))
Eq(F_372(x), F_364(x) + F_370(x))
Eq(F_373(x), F_30(x)*F_366(x))
Eq(F_374(x), F_298(x)*F_31(x)*F_47(x))
Eq(F_375(x), F_30(x)*F_376(x))
Eq(F_376(x), F_165(x) + F_347(x))
Eq(F_377(x), F_30(x)*F_378(x))
Eq(F_378(x), F_379(x)/F_30(x))
Eq(F_379(x), F_260(x))
Pack JSON:
{"name": "point_and_col_placements_req_corrob", "initial_strats": [{"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [], "symmetry": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RowAndColumnPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "place_row": false, "place_col": true}]], "symmetries": [], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 1, 4, 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], [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, 1, 4, 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], [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", 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{"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], "pos": [[0, 3]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0], "pos": [[1, 4]]}, {"patt": [0, 1], "pos": [[0, 0], [0, 1]]}, {"patt": [0, 1], "pos": [[0, 0], [0, 4]]}, {"patt": [0, 1], "pos": [[1, 3], [1, 3]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 0]]}, {"patt": [1, 0], "pos": [[1, 3], [1, 3]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [0, 2], [0, 4]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 2], [0, 2]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [0, 4], [0, 2]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [0, 4], [0, 4]]}, {"patt": [1, 0, 2], "pos": [[0, 2], [0, 1], [0, 4]]}, {"patt": [2, 0, 1], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 2], [0, 4], [0, 4], [0, 4]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 4]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 2], [0, 2], [0, 4], [0, 2]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 1], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 2], [0, 4], [0, 4], [0, 4]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 1], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 2], [0, 4], [0, 2], [0, 2]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 2], [0, 4], [0, 4], [0, 4]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 2], [0, 1], [0, 2], [0, 2]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 4], [0, 2], [0, 4], [0, 4]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 4]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 2], [0, 2], [0, 4], [0, 2]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {"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, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {"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, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {"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, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {"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, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {"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, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {"patt": [2, 0, 1, 4, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 1, 4, 3], "pos": [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {"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, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {"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, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 1]]}], [{"patt": [0], "pos": [[1, 3]]}]], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}]}
Specification 2
Strategy pack name: requirement_placements
Tree: http://www.permpal.com/tree/24648/
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[27,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[6,x]
F[6,x] = F[27,x]*F[7,x]
F[7,x] = F[298,x]+F[8,x]
F[8,x] = F[268,x]+F[9,x]
F[9,x] = F[10,x]+F[4,x]
F[10,x] = F[11,x]
F[11,x] = F[12,x]*F[27,x]
F[12,x] = F[13,x]+F[263,x]
F[13,x] = F[0,x]*F[14,x]
F[14,x] = 1/F[27,x]*F[15,x]
F[15,x] = F[16,x]
F[16,x] = F[17,x]
F[17,x] = F[18,x]*F[27,x]
F[18,x] = F[19,x]+F[20,x]
F[19,x] = F[0,x]*F[4,x]
F[20,x] = F[21,x]
F[21,x] = F[22,x]*F[27,x]*F[48,x]
F[22,x] = 1/F[27,x]/F[93,x]*F[23,x]
F[23,x] = F[24,x]
F[24,x] = -F[28,x]+F[25,x]
F[25,x] = 1/F[27,x]*F[26,x]
F[26,x] = F[5,x]
F[27,x] = x
F[28,x] = F[29,x]+F[34,x]
F[29,x] = F[30,x]
F[30,x] = F[0,x]*F[31,x]
F[31,x] = F[0,x]+F[32,x]
F[32,x] = F[33,x]
F[33,x] = F[25,x]*F[27,x]
F[34,x] = F[35,x]
F[35,x] = F[27,x]*F[36,x]*F[37,x]
F[36,x] = -F[9,x]+F[7,x]
F[37,x] = 1/F[27,x]*F[38,x]
F[38,x] = F[39,x]
F[39,x] = -F[45,x]+F[40,x]
F[40,x] = 1/F[27,x]*F[41,x]
F[41,x] = F[42,x]
F[42,x] = F[43,x]
F[43,x] = F[27,x]*F[44,x]
F[44,x] = F[16,x]+F[42,x]
F[45,x] = -F[48,x]+F[46,x]
F[46,x] = 1/F[27,x]*F[47,x]
F[47,x] = F[2,x]
F[48,x] = F[0,x]+F[49,x]
F[49,x] = F[50,x]
F[50,x] = F[27,x]*F[51,x]
F[51,x] = 1/F[134,x]*F[52,x]
F[52,x] = -F[62,x]+F[53,x]
F[53,x] = 1/F[27,x]*F[54,x]
F[54,x] = F[55,x]
F[55,x] = 1/F[27,x]*F[56,x]
F[56,x] = F[57,x]
F[57,x] = -F[60,x]+F[58,x]
F[58,x] = 1/F[27,x]*F[59,x]
F[59,x] = F[2,x]
F[60,x] = F[61,x]
F[61,x] = F[0,x]^2
F[62,x] = F[122,x]*F[63,x]
F[63,x] = F[121,x]+F[64,x]
F[64,x] = F[65,x]+F[96,x]
F[65,x] = F[0,x]+F[66,x]
F[66,x] = F[67,x]
F[67,x] = F[27,x]*F[68,x]
F[68,x] = F[69,x]+F[71,x]
F[69,x] = F[70,x]
F[70,x] = F[0,x]*F[65,x]
F[71,x] = F[72,x]
F[72,x] = F[27,x]*F[48,x]*F[73,x]
F[73,x] = F[74,x]
F[74,x] = F[27,x]*F[75,x]*F[93,x]
F[75,x] = 1/F[27,x]/F[93,x]^2*F[76,x]
F[76,x] = F[77,x]
F[77,x] = F[78,x]
F[78,x] = F[93,x]^2*F[27,x]*F[79,x]
F[79,x] = 1/F[27,x]/F[93,x]*F[80,x]
F[80,x] = F[81,x]
F[81,x] = 1/F[27,x]*F[82,x]
F[82,x] = F[83,x]
F[83,x] = -F[86,x]+F[84,x]
F[84,x] = 1/F[27,x]*F[85,x]
F[85,x] = F[42,x]
F[86,x] = F[87,x]
F[87,x] = F[27,x]*F[88,x]
F[88,x] = F[68,x]+F[89,x]
F[89,x] = F[90,x]
F[90,x] = F[27,x]*F[91,x]
F[91,x] = F[77,x]+F[92,x]
F[92,x] = F[68,x]*F[93,x]
F[93,x] = F[1,x]+F[94,x]
F[94,x] = F[95,x]
F[95,x] = F[27,x]*F[93,x]
F[96,x] = F[97,x]
F[97,x] = F[27,x]*F[98,x]
F[98,x] = -F[101,x]+F[99,x]
F[99,x] = 1/F[27,x]*F[100,x]
F[100,x] = F[36,x]
F[101,x] = 1/F[93,x]*F[102,x]
F[102,x] = F[103,x]
F[103,x] = -F[119,x]+F[104,x]
F[104,x] = 1/F[27,x]*F[105,x]
F[105,x] = F[106,x]
F[106,x] = -F[116,x]+F[107,x]
F[107,x] = F[108,x]+F[115,x]
F[108,x] = F[109,x]
F[109,x] = F[110,x]*F[93,x]
F[110,x] = 1/F[93,x]*F[111,x]
F[111,x] = F[112,x]
F[112,x] = -F[113,x]+F[91,x]
F[113,x] = F[114,x]
F[114,x] = F[27,x]*F[77,x]
F[115,x] = F[114,x]
F[116,x] = F[117,x]
F[117,x] = F[110,x]+F[118,x]
F[118,x] = F[63,x]*F[94,x]
F[119,x] = F[120,x]
F[120,x] = F[27,x]*F[75,x]*F[93,x]*F[94,x]
F[121,x] = F[96,x]
F[122,x] = F[123,x]
F[123,x] = F[124,x]*F[27,x]*F[51,x]
F[124,x] = F[125,x]+F[93,x]
F[125,x] = F[126,x]+F[129,x]
F[126,x] = F[127,x]
F[127,x] = F[128,x]*F[27,x]
F[128,x] = F[1,x]+F[126,x]
F[129,x] = F[130,x]+F[131,x]+F[133,x]
F[130,x] = 0
F[131,x] = F[132,x]*F[27,x]
F[132,x] = F[129,x]+F[94,x]
F[133,x] = F[125,x]*F[27,x]
F[134,x] = 1/F[27,x]*F[135,x]
F[135,x] = F[136,x]
F[136,x] = F[137,x]*F[27,x]
F[137,x] = F[138,x]+F[220,x]
F[138,x] = F[139,x]
F[139,x] = F[140,x]+F[216,x]
F[140,x] = F[141,x]+F[170,x]
F[141,x] = F[142,x]+F[145,x]
F[142,x] = F[1,x]+F[143,x]
F[143,x] = F[144,x]
F[144,x] = F[93,x]^2*F[27,x]
F[145,x] = F[146,x]+F[94,x]
F[146,x] = F[130,x]+F[147,x]+F[149,x]
F[147,x] = F[148,x]*F[27,x]
F[148,x] = F[143,x]+F[146,x]
F[149,x] = F[150,x]*F[27,x]
F[150,x] = F[151,x]+F[156,x]
F[151,x] = F[152,x]+F[94,x]
F[152,x] = F[130,x]+F[153,x]+F[155,x]
F[153,x] = F[154,x]*F[27,x]
F[154,x] = F[152,x]+F[94,x]
F[155,x] = F[151,x]*F[27,x]
F[156,x] = F[157,x]+F[161,x]
F[157,x] = F[130,x]+F[158,x]+F[160,x]
F[158,x] = F[159,x]*F[27,x]
F[159,x] = F[157,x]+F[27,x]
F[160,x] = F[27,x]*F[94,x]
F[161,x] = F[130,x]+F[162,x]+F[168,x]+F[169,x]
F[162,x] = F[163,x]*F[27,x]
F[163,x] = F[161,x]+F[164,x]
F[164,x] = F[130,x]+F[165,x]+F[166,x]
F[165,x] = F[27,x]*F[94,x]
F[166,x] = F[167,x]*F[27,x]
F[167,x] = F[164,x]+F[27,x]
F[168,x] = F[152,x]*F[27,x]
F[169,x] = F[156,x]*F[27,x]
F[170,x] = F[171,x]+F[187,x]
F[171,x] = F[126,x]+F[172,x]
F[172,x] = F[130,x]+F[173,x]+F[175,x]
F[173,x] = F[174,x]*F[27,x]
F[174,x] = F[143,x]+F[172,x]
F[175,x] = F[176,x]*F[27,x]
F[176,x] = F[125,x]+F[177,x]
F[177,x] = F[178,x]+F[182,x]
F[178,x] = F[130,x]+F[179,x]+F[181,x]
F[179,x] = F[180,x]*F[27,x]
F[180,x] = F[178,x]+F[27,x]
F[181,x] = F[126,x]*F[27,x]
F[182,x] = F[130,x]+F[183,x]+F[185,x]+F[186,x]
F[183,x] = F[184,x]*F[27,x]
F[184,x] = F[164,x]+F[182,x]
F[185,x] = F[129,x]*F[27,x]
F[186,x] = F[177,x]*F[27,x]
F[187,x] = F[129,x]+F[188,x]
F[188,x] = F[130,x]+F[189,x]+F[191,x]+F[193,x]
F[189,x] = F[190,x]*F[27,x]
F[190,x] = F[146,x]+F[188,x]
F[191,x] = F[192,x]*F[27,x]
F[192,x] = F[172,x]+F[188,x]
F[193,x] = F[194,x]*F[27,x]
F[194,x] = F[195,x]+F[202,x]
F[195,x] = F[129,x]+F[196,x]
F[196,x] = F[130,x]+F[197,x]+F[199,x]+F[201,x]
F[197,x] = F[198,x]*F[27,x]
F[198,x] = F[152,x]+F[196,x]
F[199,x] = F[200,x]*F[27,x]
F[200,x] = F[129,x]+F[196,x]
F[201,x] = F[195,x]*F[27,x]
F[202,x] = F[203,x]+F[209,x]
F[203,x] = F[130,x]+F[204,x]+F[206,x]+F[208,x]
F[204,x] = F[205,x]*F[27,x]
F[205,x] = F[157,x]+F[203,x]
F[206,x] = F[207,x]*F[27,x]
F[207,x] = F[178,x]+F[203,x]
F[208,x] = F[129,x]*F[27,x]
F[209,x] = F[130,x]+F[210,x]+F[212,x]+F[214,x]+F[215,x]
F[210,x] = F[211,x]*F[27,x]
F[211,x] = F[161,x]+F[209,x]
F[212,x] = F[213,x]*F[27,x]
F[213,x] = F[182,x]+F[209,x]
F[214,x] = F[196,x]*F[27,x]
F[215,x] = F[202,x]*F[27,x]
F[216,x] = F[2,x]*F[217,x]
F[217,x] = F[218,x]+F[219,x]
F[218,x] = F[151,x]+F[93,x]
F[219,x] = F[125,x]+F[195,x]
F[220,x] = F[221,x]
F[221,x] = F[124,x]*F[222,x]*F[27,x]
F[222,x] = F[220,x]+F[223,x]
F[223,x] = -F[249,x]+F[224,x]
F[224,x] = 1/F[27,x]*F[225,x]
F[225,x] = F[226,x]
F[226,x] = -F[241,x]+F[227,x]
F[227,x] = -F[237,x]+F[228,x]
F[228,x] = 1/F[27,x]*F[229,x]
F[229,x] = F[230,x]
F[230,x] = -F[231,x]+F[4,x]
F[231,x] = F[232,x]
F[232,x] = F[0,x]+F[233,x]
F[233,x] = F[2,x]+F[234,x]
F[234,x] = F[143,x]*F[235,x]
F[235,x] = F[236,x]
F[236,x] = F[124,x]*F[27,x]
F[237,x] = -F[238,x]+F[18,x]
F[238,x] = F[239,x]+F[4,x]
F[239,x] = F[240,x]
F[240,x] = F[22,x]*F[27,x]
F[241,x] = F[242,x]
F[242,x] = F[243,x]*F[27,x]
F[243,x] = F[244,x]+F[245,x]
F[244,x] = F[227,x]
F[245,x] = F[246,x]
F[246,x] = F[124,x]*F[247,x]*F[27,x]
F[247,x] = F[238,x]+F[248,x]
F[248,x] = F[239,x]
F[249,x] = F[250,x]+F[253,x]
F[250,x] = F[251,x]
F[251,x] = F[130,x]+F[155,x]+F[252,x]
F[252,x] = F[251,x]*F[27,x]
F[253,x] = F[254,x]+F[257,x]
F[254,x] = F[255,x]
F[255,x] = F[130,x]+F[133,x]+F[256,x]
F[256,x] = F[255,x]*F[27,x]
F[257,x] = F[258,x]
F[258,x] = F[130,x]+F[201,x]+F[259,x]+F[261,x]
F[259,x] = F[260,x]*F[27,x]
F[260,x] = F[251,x]+F[258,x]
F[261,x] = F[262,x]*F[27,x]
F[262,x] = F[255,x]+F[258,x]
F[263,x] = 1/F[27,x]*F[264,x]
F[264,x] = F[265,x]
F[265,x] = F[266,x]*F[27,x]*F[36,x]
F[266,x] = 1/F[27,x]/F[93,x]*F[267,x]
F[267,x] = F[39,x]
F[268,x] = F[269,x]
F[269,x] = F[27,x]*F[270,x]
F[270,x] = F[247,x]+F[271,x]
F[271,x] = F[272,x]
F[272,x] = F[27,x]*F[273,x]
F[273,x] = F[274,x]+F[296,x]
F[274,x] = F[275,x]+F[278,x]
F[275,x] = F[276,x]
F[276,x] = F[277,x]*F[4,x]
F[277,x] = F[1,x]+F[235,x]
F[278,x] = F[279,x]
F[279,x] = F[124,x]*F[27,x]*F[280,x]
F[280,x] = -F[273,x]+F[281,x]
F[281,x] = 1/F[27,x]*F[282,x]
F[282,x] = F[283,x]
F[283,x] = 1/F[124,x]/F[27,x]/F[48,x]*F[284,x]
F[284,x] = F[285,x]
F[285,x] = F[27,x]*F[286,x]*F[48,x]
F[286,x] = F[287,x]+F[295,x]
F[287,x] = F[288,x]+F[291,x]
F[288,x] = F[289,x]
F[289,x] = F[290,x]*F[66,x]
F[290,x] = F[235,x]+F[277,x]
F[291,x] = F[292,x]
F[292,x] = -F[293,x]+F[64,x]
F[293,x] = F[294,x]
F[294,x] = F[277,x]*F[65,x]
F[295,x] = F[292,x]
F[296,x] = F[297,x]
F[297,x] = -F[4,x]+F[274,x]
F[298,x] = F[299,x]
F[299,x] = F[27,x]*F[300,x]
F[300,x] = F[301,x]+F[303,x]
F[301,x] = F[302,x]
F[302,x] = F[27,x]*F[280,x]
F[303,x] = 1/F[27,x]/F[48,x]*F[304,x]
F[304,x] = F[305,x]
F[305,x] = F[27,x]*F[306,x]
F[306,x] = -F[309,x]+F[307,x]
F[307,x] = 1/F[27,x]*F[308,x]
F[308,x] = F[10,x]
F[309,x] = F[0,x]*F[7,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_{27}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{27}\! \left(x \right) F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{298}\! \left(x \right)+F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{268}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{4}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right) F_{27}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)+F_{263}\! \left(x \right)
F_{13}\! \left(x \right) = F_{0}\! \left(x \right) F_{14}\! \left(x \right)
F_{14}\! \left(x \right) = \frac{F_{15}\! \left(x \right)}{F_{27}\! \left(x \right)}
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right) F_{27}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)+F_{20}\! \left(x \right)
F_{19}\! \left(x \right) = F_{0}\! \left(x \right) F_{4}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right) F_{27}\! \left(x \right) F_{48}\! \left(x \right)
F_{22}\! \left(x \right) = \frac{F_{23}\! \left(x \right)}{F_{27}\! \left(x \right) F_{93}\! \left(x \right)}
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = -F_{28}\! \left(x \right)+F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = \frac{F_{26}\! \left(x \right)}{F_{27}\! \left(x \right)}
F_{26}\! \left(x \right) = F_{5}\! \left(x \right)
F_{27}\! \left(x \right) = x
F_{28}\! \left(x \right) = F_{29}\! \left(x \right)+F_{34}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = F_{0}\! \left(x \right) F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{0}\! \left(x \right)+F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{25}\! \left(x \right) F_{27}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{27}\! \left(x \right) F_{36}\! \left(x \right) F_{37}\! \left(x \right)
F_{36}\! \left(x \right) = -F_{9}\! \left(x \right)+F_{7}\! \left(x \right)
F_{37}\! \left(x \right) = \frac{F_{38}\! \left(x \right)}{F_{27}\! \left(x \right)}
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = -F_{45}\! \left(x \right)+F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = \frac{F_{41}\! \left(x \right)}{F_{27}\! \left(x \right)}
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{27}\! \left(x \right) F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{16}\! \left(x \right)+F_{42}\! \left(x \right)
F_{45}\! \left(x \right) = -F_{48}\! \left(x \right)+F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = \frac{F_{47}\! \left(x \right)}{F_{27}\! \left(x \right)}
F_{47}\! \left(x \right) = F_{2}\! \left(x \right)
F_{48}\! \left(x \right) = F_{0}\! \left(x \right)+F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{27}\! \left(x \right) F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = \frac{F_{52}\! \left(x \right)}{F_{134}\! \left(x \right)}
F_{52}\! \left(x \right) = -F_{62}\! \left(x \right)+F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = \frac{F_{54}\! \left(x \right)}{F_{27}\! \left(x \right)}
F_{54}\! \left(x \right) = F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = \frac{F_{56}\! \left(x \right)}{F_{27}\! \left(x \right)}
F_{56}\! \left(x \right) = F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = -F_{60}\! \left(x \right)+F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = \frac{F_{59}\! \left(x \right)}{F_{27}\! \left(x \right)}
F_{59}\! \left(x \right) = F_{2}\! \left(x \right)
F_{60}\! \left(x \right) = F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{0} \left(x \right)^{2}
F_{62}\! \left(x \right) = F_{122}\! \left(x \right) F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{121}\! \left(x \right)+F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{65}\! \left(x \right)+F_{96}\! \left(x \right)
F_{65}\! \left(x \right) = F_{0}\! \left(x \right)+F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{27}\! \left(x \right) F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{69}\! \left(x \right)+F_{71}\! \left(x \right)
F_{69}\! \left(x \right) = F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{0}\! \left(x \right) F_{65}\! \left(x \right)
F_{71}\! \left(x \right) = F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{27}\! \left(x \right) F_{48}\! \left(x \right) F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{27}\! \left(x \right) F_{75}\! \left(x \right) F_{93}\! \left(x \right)
F_{75}\! \left(x \right) = \frac{F_{76}\! \left(x \right)}{F_{27}\! \left(x \right) F_{93} \left(x \right)^{2}}
F_{76}\! \left(x \right) = F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{93} \left(x \right)^{2} F_{27}\! \left(x \right) F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = \frac{F_{80}\! \left(x \right)}{F_{27}\! \left(x \right) F_{93}\! \left(x \right)}
F_{80}\! \left(x \right) = F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = \frac{F_{82}\! \left(x \right)}{F_{27}\! \left(x \right)}
F_{82}\! \left(x \right) = F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = -F_{86}\! \left(x \right)+F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = \frac{F_{85}\! \left(x \right)}{F_{27}\! \left(x \right)}
F_{85}\! \left(x \right) = F_{42}\! \left(x \right)
F_{86}\! \left(x \right) = F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{27}\! \left(x \right) F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{68}\! \left(x \right)+F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{27}\! \left(x \right) F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = F_{77}\! \left(x \right)+F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{68}\! \left(x \right) F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{1}\! \left(x \right)+F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{27}\! \left(x \right) F_{93}\! \left(x \right)
F_{96}\! \left(x \right) = F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{27}\! \left(x \right) F_{98}\! \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_{27}\! \left(x \right)}
F_{100}\! \left(x \right) = F_{36}\! \left(x \right)
F_{101}\! \left(x \right) = \frac{F_{102}\! \left(x \right)}{F_{93}\! \left(x \right)}
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)
F_{103}\! \left(x \right) = -F_{119}\! \left(x \right)+F_{104}\! \left(x \right)
F_{104}\! \left(x \right) = \frac{F_{105}\! \left(x \right)}{F_{27}\! \left(x \right)}
F_{105}\! \left(x \right) = F_{106}\! \left(x \right)
F_{106}\! \left(x \right) = -F_{116}\! \left(x \right)+F_{107}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right)+F_{115}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right) F_{93}\! \left(x \right)
F_{110}\! \left(x \right) = \frac{F_{111}\! \left(x \right)}{F_{93}\! \left(x \right)}
F_{111}\! \left(x \right) = F_{112}\! \left(x \right)
F_{112}\! \left(x \right) = -F_{113}\! \left(x \right)+F_{91}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right)
F_{114}\! \left(x \right) = F_{27}\! \left(x \right) F_{77}\! \left(x \right)
F_{115}\! \left(x \right) = F_{114}\! \left(x \right)
F_{116}\! \left(x \right) = F_{117}\! \left(x \right)
F_{117}\! \left(x \right) = F_{110}\! \left(x \right)+F_{118}\! \left(x \right)
F_{118}\! \left(x \right) = F_{63}\! \left(x \right) F_{94}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)
F_{120}\! \left(x \right) = F_{27}\! \left(x \right) F_{75}\! \left(x \right) F_{93}\! \left(x \right) F_{94}\! \left(x \right)
F_{121}\! \left(x \right) = F_{96}\! \left(x \right)
F_{122}\! \left(x \right) = F_{123}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right) F_{27}\! \left(x \right) F_{51}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)+F_{93}\! \left(x \right)
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)+F_{129}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right) F_{27}\! \left(x \right)
F_{128}\! \left(x \right) = F_{1}\! \left(x \right)+F_{126}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right)+F_{131}\! \left(x \right)+F_{133}\! \left(x \right)
F_{130}\! \left(x \right) = 0
F_{131}\! \left(x \right) = F_{132}\! \left(x \right) F_{27}\! \left(x \right)
F_{132}\! \left(x \right) = F_{129}\! \left(x \right)+F_{94}\! \left(x \right)
F_{133}\! \left(x \right) = F_{125}\! \left(x \right) F_{27}\! \left(x \right)
F_{134}\! \left(x \right) = \frac{F_{135}\! \left(x \right)}{F_{27}\! \left(x \right)}
F_{135}\! \left(x \right) = F_{136}\! \left(x \right)
F_{136}\! \left(x \right) = F_{137}\! \left(x \right) F_{27}\! \left(x \right)
F_{137}\! \left(x \right) = F_{138}\! \left(x \right)+F_{220}\! \left(x \right)
F_{138}\! \left(x \right) = F_{139}\! \left(x \right)
F_{139}\! \left(x \right) = F_{140}\! \left(x \right)+F_{216}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right)+F_{170}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right)+F_{145}\! \left(x \right)
F_{142}\! \left(x \right) = F_{1}\! \left(x \right)+F_{143}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right)
F_{144}\! \left(x \right) = F_{93} \left(x \right)^{2} F_{27}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right)+F_{94}\! \left(x \right)
F_{146}\! \left(x \right) = F_{130}\! \left(x \right)+F_{147}\! \left(x \right)+F_{149}\! \left(x \right)
F_{147}\! \left(x \right) = F_{148}\! \left(x \right) F_{27}\! \left(x \right)
F_{148}\! \left(x \right) = F_{143}\! \left(x \right)+F_{146}\! \left(x \right)
F_{149}\! \left(x \right) = F_{150}\! \left(x \right) F_{27}\! \left(x \right)
F_{150}\! \left(x \right) = F_{151}\! \left(x \right)+F_{156}\! \left(x \right)
F_{151}\! \left(x \right) = F_{152}\! \left(x \right)+F_{94}\! \left(x \right)
F_{152}\! \left(x \right) = F_{130}\! \left(x \right)+F_{153}\! \left(x \right)+F_{155}\! \left(x \right)
F_{153}\! \left(x \right) = F_{154}\! \left(x \right) F_{27}\! \left(x \right)
F_{154}\! \left(x \right) = F_{152}\! \left(x \right)+F_{94}\! \left(x \right)
F_{155}\! \left(x \right) = F_{151}\! \left(x \right) F_{27}\! \left(x \right)
F_{156}\! \left(x \right) = F_{157}\! \left(x \right)+F_{161}\! \left(x \right)
F_{157}\! \left(x \right) = F_{130}\! \left(x \right)+F_{158}\! \left(x \right)+F_{160}\! \left(x \right)
F_{158}\! \left(x \right) = F_{159}\! \left(x \right) F_{27}\! \left(x \right)
F_{159}\! \left(x \right) = F_{157}\! \left(x \right)+F_{27}\! \left(x \right)
F_{160}\! \left(x \right) = F_{27}\! \left(x \right) F_{94}\! \left(x \right)
F_{161}\! \left(x \right) = F_{130}\! \left(x \right)+F_{162}\! \left(x \right)+F_{168}\! \left(x \right)+F_{169}\! \left(x \right)
F_{162}\! \left(x \right) = F_{163}\! \left(x \right) F_{27}\! \left(x \right)
F_{163}\! \left(x \right) = F_{161}\! \left(x \right)+F_{164}\! \left(x \right)
F_{164}\! \left(x \right) = F_{130}\! \left(x \right)+F_{165}\! \left(x \right)+F_{166}\! \left(x \right)
F_{165}\! \left(x \right) = F_{27}\! \left(x \right) F_{94}\! \left(x \right)
F_{166}\! \left(x \right) = F_{167}\! \left(x \right) F_{27}\! \left(x \right)
F_{167}\! \left(x \right) = F_{164}\! \left(x \right)+F_{27}\! \left(x \right)
F_{168}\! \left(x \right) = F_{152}\! \left(x \right) F_{27}\! \left(x \right)
F_{169}\! \left(x \right) = F_{156}\! \left(x \right) F_{27}\! \left(x \right)
F_{170}\! \left(x \right) = F_{171}\! \left(x \right)+F_{187}\! \left(x \right)
F_{171}\! \left(x \right) = F_{126}\! \left(x \right)+F_{172}\! \left(x \right)
F_{172}\! \left(x \right) = F_{130}\! \left(x \right)+F_{173}\! \left(x \right)+F_{175}\! \left(x \right)
F_{173}\! \left(x \right) = F_{174}\! \left(x \right) F_{27}\! \left(x \right)
F_{174}\! \left(x \right) = F_{143}\! \left(x \right)+F_{172}\! \left(x \right)
F_{175}\! \left(x \right) = F_{176}\! \left(x \right) F_{27}\! \left(x \right)
F_{176}\! \left(x \right) = F_{125}\! \left(x \right)+F_{177}\! \left(x \right)
F_{177}\! \left(x \right) = F_{178}\! \left(x \right)+F_{182}\! \left(x \right)
F_{178}\! \left(x \right) = F_{130}\! \left(x \right)+F_{179}\! \left(x \right)+F_{181}\! \left(x \right)
F_{179}\! \left(x \right) = F_{180}\! \left(x \right) F_{27}\! \left(x \right)
F_{180}\! \left(x \right) = F_{178}\! \left(x \right)+F_{27}\! \left(x \right)
F_{181}\! \left(x \right) = F_{126}\! \left(x \right) F_{27}\! \left(x \right)
F_{182}\! \left(x \right) = F_{130}\! \left(x \right)+F_{183}\! \left(x \right)+F_{185}\! \left(x \right)+F_{186}\! \left(x \right)
F_{183}\! \left(x \right) = F_{184}\! \left(x \right) F_{27}\! \left(x \right)
F_{184}\! \left(x \right) = F_{164}\! \left(x \right)+F_{182}\! \left(x \right)
F_{185}\! \left(x \right) = F_{129}\! \left(x \right) F_{27}\! \left(x \right)
F_{186}\! \left(x \right) = F_{177}\! \left(x \right) F_{27}\! \left(x \right)
F_{187}\! \left(x \right) = F_{129}\! \left(x \right)+F_{188}\! \left(x \right)
F_{188}\! \left(x \right) = F_{130}\! \left(x \right)+F_{189}\! \left(x \right)+F_{191}\! \left(x \right)+F_{193}\! \left(x \right)
F_{189}\! \left(x \right) = F_{190}\! \left(x \right) F_{27}\! \left(x \right)
F_{190}\! \left(x \right) = F_{146}\! \left(x \right)+F_{188}\! \left(x \right)
F_{191}\! \left(x \right) = F_{192}\! \left(x \right) F_{27}\! \left(x \right)
F_{192}\! \left(x \right) = F_{172}\! \left(x \right)+F_{188}\! \left(x \right)
F_{193}\! \left(x \right) = F_{194}\! \left(x \right) F_{27}\! \left(x \right)
F_{194}\! \left(x \right) = F_{195}\! \left(x \right)+F_{202}\! \left(x \right)
F_{195}\! \left(x \right) = F_{129}\! \left(x \right)+F_{196}\! \left(x \right)
F_{196}\! \left(x \right) = F_{130}\! \left(x \right)+F_{197}\! \left(x \right)+F_{199}\! \left(x \right)+F_{201}\! \left(x \right)
F_{197}\! \left(x \right) = F_{198}\! \left(x \right) F_{27}\! \left(x \right)
F_{198}\! \left(x \right) = F_{152}\! \left(x \right)+F_{196}\! \left(x \right)
F_{199}\! \left(x \right) = F_{200}\! \left(x \right) F_{27}\! \left(x \right)
F_{200}\! \left(x \right) = F_{129}\! \left(x \right)+F_{196}\! \left(x \right)
F_{201}\! \left(x \right) = F_{195}\! \left(x \right) F_{27}\! \left(x \right)
F_{202}\! \left(x \right) = F_{203}\! \left(x \right)+F_{209}\! \left(x \right)
F_{203}\! \left(x \right) = F_{130}\! \left(x \right)+F_{204}\! \left(x \right)+F_{206}\! \left(x \right)+F_{208}\! \left(x \right)
F_{204}\! \left(x \right) = F_{205}\! \left(x \right) F_{27}\! \left(x \right)
F_{205}\! \left(x \right) = F_{157}\! \left(x \right)+F_{203}\! \left(x \right)
F_{206}\! \left(x \right) = F_{207}\! \left(x \right) F_{27}\! \left(x \right)
F_{207}\! \left(x \right) = F_{178}\! \left(x \right)+F_{203}\! \left(x \right)
F_{208}\! \left(x \right) = F_{129}\! \left(x \right) F_{27}\! \left(x \right)
F_{209}\! \left(x \right) = F_{130}\! \left(x \right)+F_{210}\! \left(x \right)+F_{212}\! \left(x \right)+F_{214}\! \left(x \right)+F_{215}\! \left(x \right)
F_{210}\! \left(x \right) = F_{211}\! \left(x \right) F_{27}\! \left(x \right)
F_{211}\! \left(x \right) = F_{161}\! \left(x \right)+F_{209}\! \left(x \right)
F_{212}\! \left(x \right) = F_{213}\! \left(x \right) F_{27}\! \left(x \right)
F_{213}\! \left(x \right) = F_{182}\! \left(x \right)+F_{209}\! \left(x \right)
F_{214}\! \left(x \right) = F_{196}\! \left(x \right) F_{27}\! \left(x \right)
F_{215}\! \left(x \right) = F_{202}\! \left(x \right) F_{27}\! \left(x \right)
F_{216}\! \left(x \right) = F_{2}\! \left(x \right) F_{217}\! \left(x \right)
F_{217}\! \left(x \right) = F_{218}\! \left(x \right)+F_{219}\! \left(x \right)
F_{218}\! \left(x \right) = F_{151}\! \left(x \right)+F_{93}\! \left(x \right)
F_{219}\! \left(x \right) = F_{125}\! \left(x \right)+F_{195}\! \left(x \right)
F_{220}\! \left(x \right) = F_{221}\! \left(x \right)
F_{221}\! \left(x \right) = F_{124}\! \left(x \right) F_{222}\! \left(x \right) F_{27}\! \left(x \right)
F_{222}\! \left(x \right) = F_{220}\! \left(x \right)+F_{223}\! \left(x \right)
F_{223}\! \left(x \right) = -F_{249}\! \left(x \right)+F_{224}\! \left(x \right)
F_{224}\! \left(x \right) = \frac{F_{225}\! \left(x \right)}{F_{27}\! \left(x \right)}
F_{225}\! \left(x \right) = F_{226}\! \left(x \right)
F_{226}\! \left(x \right) = -F_{241}\! \left(x \right)+F_{227}\! \left(x \right)
F_{227}\! \left(x \right) = -F_{237}\! \left(x \right)+F_{228}\! \left(x \right)
F_{228}\! \left(x \right) = \frac{F_{229}\! \left(x \right)}{F_{27}\! \left(x \right)}
F_{229}\! \left(x \right) = F_{230}\! \left(x \right)
F_{230}\! \left(x \right) = -F_{231}\! \left(x \right)+F_{4}\! \left(x \right)
F_{231}\! \left(x \right) = F_{232}\! \left(x \right)
F_{232}\! \left(x \right) = F_{0}\! \left(x \right)+F_{233}\! \left(x \right)
F_{233}\! \left(x \right) = F_{2}\! \left(x \right)+F_{234}\! \left(x \right)
F_{234}\! \left(x \right) = F_{143}\! \left(x \right) F_{235}\! \left(x \right)
F_{235}\! \left(x \right) = F_{236}\! \left(x \right)
F_{236}\! \left(x \right) = F_{124}\! \left(x \right) F_{27}\! \left(x \right)
F_{237}\! \left(x \right) = -F_{238}\! \left(x \right)+F_{18}\! \left(x \right)
F_{238}\! \left(x \right) = F_{239}\! \left(x \right)+F_{4}\! \left(x \right)
F_{239}\! \left(x \right) = F_{240}\! \left(x \right)
F_{240}\! \left(x \right) = F_{22}\! \left(x \right) F_{27}\! \left(x \right)
F_{241}\! \left(x \right) = F_{242}\! \left(x \right)
F_{242}\! \left(x \right) = F_{243}\! \left(x \right) F_{27}\! \left(x \right)
F_{243}\! \left(x \right) = F_{244}\! \left(x \right)+F_{245}\! \left(x \right)
F_{244}\! \left(x \right) = F_{227}\! \left(x \right)
F_{245}\! \left(x \right) = F_{246}\! \left(x \right)
F_{246}\! \left(x \right) = F_{124}\! \left(x \right) F_{247}\! \left(x \right) F_{27}\! \left(x \right)
F_{247}\! \left(x \right) = F_{238}\! \left(x \right)+F_{248}\! \left(x \right)
F_{248}\! \left(x \right) = F_{239}\! \left(x \right)
F_{249}\! \left(x \right) = F_{250}\! \left(x \right)+F_{253}\! \left(x \right)
F_{250}\! \left(x \right) = F_{251}\! \left(x \right)
F_{251}\! \left(x \right) = F_{130}\! \left(x \right)+F_{155}\! \left(x \right)+F_{252}\! \left(x \right)
F_{252}\! \left(x \right) = F_{251}\! \left(x \right) F_{27}\! \left(x \right)
F_{253}\! \left(x \right) = F_{254}\! \left(x \right)+F_{257}\! \left(x \right)
F_{254}\! \left(x \right) = F_{255}\! \left(x \right)
F_{255}\! \left(x \right) = F_{130}\! \left(x \right)+F_{133}\! \left(x \right)+F_{256}\! \left(x \right)
F_{256}\! \left(x \right) = F_{255}\! \left(x \right) F_{27}\! \left(x \right)
F_{257}\! \left(x \right) = F_{258}\! \left(x \right)
F_{258}\! \left(x \right) = F_{130}\! \left(x \right)+F_{201}\! \left(x \right)+F_{259}\! \left(x \right)+F_{261}\! \left(x \right)
F_{259}\! \left(x \right) = F_{260}\! \left(x \right) F_{27}\! \left(x \right)
F_{260}\! \left(x \right) = F_{251}\! \left(x \right)+F_{258}\! \left(x \right)
F_{261}\! \left(x \right) = F_{262}\! \left(x \right) F_{27}\! \left(x \right)
F_{262}\! \left(x \right) = F_{255}\! \left(x \right)+F_{258}\! \left(x \right)
F_{263}\! \left(x \right) = \frac{F_{264}\! \left(x \right)}{F_{27}\! \left(x \right)}
F_{264}\! \left(x \right) = F_{265}\! \left(x \right)
F_{265}\! \left(x \right) = F_{266}\! \left(x \right) F_{27}\! \left(x \right) F_{36}\! \left(x \right)
F_{266}\! \left(x \right) = \frac{F_{267}\! \left(x \right)}{F_{27}\! \left(x \right) F_{93}\! \left(x \right)}
F_{267}\! \left(x \right) = F_{39}\! \left(x \right)
F_{268}\! \left(x \right) = F_{269}\! \left(x \right)
F_{269}\! \left(x \right) = F_{27}\! \left(x \right) F_{270}\! \left(x \right)
F_{270}\! \left(x \right) = F_{247}\! \left(x \right)+F_{271}\! \left(x \right)
F_{271}\! \left(x \right) = F_{272}\! \left(x \right)
F_{272}\! \left(x \right) = F_{27}\! \left(x \right) F_{273}\! \left(x \right)
F_{273}\! \left(x \right) = F_{274}\! \left(x \right)+F_{296}\! \left(x \right)
F_{274}\! \left(x \right) = F_{275}\! \left(x \right)+F_{278}\! \left(x \right)
F_{275}\! \left(x \right) = F_{276}\! \left(x \right)
F_{276}\! \left(x \right) = F_{277}\! \left(x \right) F_{4}\! \left(x \right)
F_{277}\! \left(x \right) = F_{1}\! \left(x \right)+F_{235}\! \left(x \right)
F_{278}\! \left(x \right) = F_{279}\! \left(x \right)
F_{279}\! \left(x \right) = F_{124}\! \left(x \right) F_{27}\! \left(x \right) F_{280}\! \left(x \right)
F_{280}\! \left(x \right) = -F_{273}\! \left(x \right)+F_{281}\! \left(x \right)
F_{281}\! \left(x \right) = \frac{F_{282}\! \left(x \right)}{F_{27}\! \left(x \right)}
F_{282}\! \left(x \right) = F_{283}\! \left(x \right)
F_{283}\! \left(x \right) = \frac{F_{284}\! \left(x \right)}{F_{124}\! \left(x \right) F_{27}\! \left(x \right) F_{48}\! \left(x \right)}
F_{284}\! \left(x \right) = F_{285}\! \left(x \right)
F_{285}\! \left(x \right) = F_{27}\! \left(x \right) F_{286}\! \left(x \right) F_{48}\! \left(x \right)
F_{286}\! \left(x \right) = F_{287}\! \left(x \right)+F_{295}\! \left(x \right)
F_{287}\! \left(x \right) = F_{288}\! \left(x \right)+F_{291}\! \left(x \right)
F_{288}\! \left(x \right) = F_{289}\! \left(x \right)
F_{289}\! \left(x \right) = F_{290}\! \left(x \right) F_{66}\! \left(x \right)
F_{290}\! \left(x \right) = F_{235}\! \left(x \right)+F_{277}\! \left(x \right)
F_{291}\! \left(x \right) = F_{292}\! \left(x \right)
F_{292}\! \left(x \right) = -F_{293}\! \left(x \right)+F_{64}\! \left(x \right)
F_{293}\! \left(x \right) = F_{294}\! \left(x \right)
F_{294}\! \left(x \right) = F_{277}\! \left(x \right) F_{65}\! \left(x \right)
F_{295}\! \left(x \right) = F_{292}\! \left(x \right)
F_{296}\! \left(x \right) = F_{297}\! \left(x \right)
F_{297}\! \left(x \right) = -F_{4}\! \left(x \right)+F_{274}\! \left(x \right)
F_{298}\! \left(x \right) = F_{299}\! \left(x \right)
F_{299}\! \left(x \right) = F_{27}\! \left(x \right) F_{300}\! \left(x \right)
F_{300}\! \left(x \right) = F_{301}\! \left(x \right)+F_{303}\! \left(x \right)
F_{301}\! \left(x \right) = F_{302}\! \left(x \right)
F_{302}\! \left(x \right) = F_{27}\! \left(x \right) F_{280}\! \left(x \right)
F_{303}\! \left(x \right) = \frac{F_{304}\! \left(x \right)}{F_{27}\! \left(x \right) F_{48}\! \left(x \right)}
F_{304}\! \left(x \right) = F_{305}\! \left(x \right)
F_{305}\! \left(x \right) = F_{27}\! \left(x \right) F_{306}\! \left(x \right)
F_{306}\! \left(x \right) = -F_{309}\! \left(x \right)+F_{307}\! \left(x \right)
F_{307}\! \left(x \right) = \frac{F_{308}\! \left(x \right)}{F_{27}\! \left(x \right)}
F_{308}\! \left(x \right) = F_{10}\! \left(x \right)
F_{309}\! \left(x \right) = F_{0}\! \left(x \right) F_{7}\! \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_27(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_6(x))
Eq(F_6(x), F_27(x)*F_7(x))
Eq(F_7(x), F_298(x) + F_8(x))
Eq(F_8(x), F_268(x) + F_9(x))
Eq(F_9(x), F_10(x) + F_4(x))
Eq(F_10(x), F_11(x))
Eq(F_11(x), F_12(x)*F_27(x))
Eq(F_12(x), F_13(x) + F_263(x))
Eq(F_13(x), F_0(x)*F_14(x))
Eq(F_14(x), F_15(x)/F_27(x))
Eq(F_15(x), F_16(x))
Eq(F_16(x), F_17(x))
Eq(F_17(x), F_18(x)*F_27(x))
Eq(F_18(x), F_19(x) + F_20(x))
Eq(F_19(x), F_0(x)*F_4(x))
Eq(F_20(x), F_21(x))
Eq(F_21(x), F_22(x)*F_27(x)*F_48(x))
Eq(F_22(x), F_23(x)/(F_27(x)*F_93(x)))
Eq(F_23(x), F_24(x))
Eq(F_24(x), F_25(x) - F_28(x))
Eq(F_25(x), F_26(x)/F_27(x))
Eq(F_26(x), F_5(x))
Eq(F_27(x), x)
Eq(F_28(x), F_29(x) + F_34(x))
Eq(F_29(x), F_30(x))
Eq(F_30(x), F_0(x)*F_31(x))
Eq(F_31(x), F_0(x) + F_32(x))
Eq(F_32(x), F_33(x))
Eq(F_33(x), F_25(x)*F_27(x))
Eq(F_34(x), F_35(x))
Eq(F_35(x), F_27(x)*F_36(x)*F_37(x))
Eq(F_36(x), F_7(x) - F_9(x))
Eq(F_37(x), F_38(x)/F_27(x))
Eq(F_38(x), F_39(x))
Eq(F_39(x), F_40(x) - F_45(x))
Eq(F_40(x), F_41(x)/F_27(x))
Eq(F_41(x), F_42(x))
Eq(F_42(x), F_43(x))
Eq(F_43(x), F_27(x)*F_44(x))
Eq(F_44(x), F_16(x) + F_42(x))
Eq(F_45(x), F_46(x) - F_48(x))
Eq(F_46(x), F_47(x)/F_27(x))
Eq(F_47(x), F_2(x))
Eq(F_48(x), F_0(x) + F_49(x))
Eq(F_49(x), F_50(x))
Eq(F_50(x), F_27(x)*F_51(x))
Eq(F_51(x), F_52(x)/F_134(x))
Eq(F_52(x), F_53(x) - F_62(x))
Eq(F_53(x), F_54(x)/F_27(x))
Eq(F_54(x), F_55(x))
Eq(F_55(x), F_56(x)/F_27(x))
Eq(F_56(x), F_57(x))
Eq(F_57(x), F_58(x) - F_60(x))
Eq(F_58(x), F_59(x)/F_27(x))
Eq(F_59(x), F_2(x))
Eq(F_60(x), F_61(x))
Eq(F_61(x), F_0(x)**2)
Eq(F_62(x), F_122(x)*F_63(x))
Eq(F_63(x), F_121(x) + F_64(x))
Eq(F_64(x), F_65(x) + F_96(x))
Eq(F_65(x), F_0(x) + F_66(x))
Eq(F_66(x), F_67(x))
Eq(F_67(x), F_27(x)*F_68(x))
Eq(F_68(x), F_69(x) + F_71(x))
Eq(F_69(x), F_70(x))
Eq(F_70(x), F_0(x)*F_65(x))
Eq(F_71(x), F_72(x))
Eq(F_72(x), F_27(x)*F_48(x)*F_73(x))
Eq(F_73(x), F_74(x))
Eq(F_74(x), F_27(x)*F_75(x)*F_93(x))
Eq(F_75(x), F_76(x)/(F_27(x)*F_93(x)**2))
Eq(F_76(x), F_77(x))
Eq(F_77(x), F_78(x))
Eq(F_78(x), F_27(x)*F_79(x)*F_93(x)**2)
Eq(F_79(x), F_80(x)/(F_27(x)*F_93(x)))
Eq(F_80(x), F_81(x))
Eq(F_81(x), F_82(x)/F_27(x))
Eq(F_82(x), F_83(x))
Eq(F_83(x), F_84(x) - F_86(x))
Eq(F_84(x), F_85(x)/F_27(x))
Eq(F_85(x), F_42(x))
Eq(F_86(x), F_87(x))
Eq(F_87(x), F_27(x)*F_88(x))
Eq(F_88(x), F_68(x) + F_89(x))
Eq(F_89(x), F_90(x))
Eq(F_90(x), F_27(x)*F_91(x))
Eq(F_91(x), F_77(x) + F_92(x))
Eq(F_92(x), F_68(x)*F_93(x))
Eq(F_93(x), F_1(x) + F_94(x))
Eq(F_94(x), F_95(x))
Eq(F_95(x), F_27(x)*F_93(x))
Eq(F_96(x), F_97(x))
Eq(F_97(x), F_27(x)*F_98(x))
Eq(F_98(x), -F_101(x) + F_99(x))
Eq(F_99(x), F_100(x)/F_27(x))
Eq(F_100(x), F_36(x))
Eq(F_101(x), F_102(x)/F_93(x))
Eq(F_102(x), F_103(x))
Eq(F_103(x), F_104(x) - F_119(x))
Eq(F_104(x), F_105(x)/F_27(x))
Eq(F_105(x), F_106(x))
Eq(F_106(x), F_107(x) - F_116(x))
Eq(F_107(x), F_108(x) + F_115(x))
Eq(F_108(x), F_109(x))
Eq(F_109(x), F_110(x)*F_93(x))
Eq(F_110(x), F_111(x)/F_93(x))
Eq(F_111(x), F_112(x))
Eq(F_112(x), -F_113(x) + F_91(x))
Eq(F_113(x), F_114(x))
Eq(F_114(x), F_27(x)*F_77(x))
Eq(F_115(x), F_114(x))
Eq(F_116(x), F_117(x))
Eq(F_117(x), F_110(x) + F_118(x))
Eq(F_118(x), F_63(x)*F_94(x))
Eq(F_119(x), F_120(x))
Eq(F_120(x), F_27(x)*F_75(x)*F_93(x)*F_94(x))
Eq(F_121(x), F_96(x))
Eq(F_122(x), F_123(x))
Eq(F_123(x), F_124(x)*F_27(x)*F_51(x))
Eq(F_124(x), F_125(x) + F_93(x))
Eq(F_125(x), F_126(x) + F_129(x))
Eq(F_126(x), F_127(x))
Eq(F_127(x), F_128(x)*F_27(x))
Eq(F_128(x), F_1(x) + F_126(x))
Eq(F_129(x), F_130(x) + F_131(x) + F_133(x))
Eq(F_130(x), 0)
Eq(F_131(x), F_132(x)*F_27(x))
Eq(F_132(x), F_129(x) + F_94(x))
Eq(F_133(x), F_125(x)*F_27(x))
Eq(F_134(x), F_135(x)/F_27(x))
Eq(F_135(x), F_136(x))
Eq(F_136(x), F_137(x)*F_27(x))
Eq(F_137(x), F_138(x) + F_220(x))
Eq(F_138(x), F_139(x))
Eq(F_139(x), F_140(x) + F_216(x))
Eq(F_140(x), F_141(x) + F_170(x))
Eq(F_141(x), F_142(x) + F_145(x))
Eq(F_142(x), F_1(x) + F_143(x))
Eq(F_143(x), F_144(x))
Eq(F_144(x), F_27(x)*F_93(x)**2)
Eq(F_145(x), F_146(x) + F_94(x))
Eq(F_146(x), F_130(x) + F_147(x) + F_149(x))
Eq(F_147(x), F_148(x)*F_27(x))
Eq(F_148(x), F_143(x) + F_146(x))
Eq(F_149(x), F_150(x)*F_27(x))
Eq(F_150(x), F_151(x) + F_156(x))
Eq(F_151(x), F_152(x) + F_94(x))
Eq(F_152(x), F_130(x) + F_153(x) + F_155(x))
Eq(F_153(x), F_154(x)*F_27(x))
Eq(F_154(x), F_152(x) + F_94(x))
Eq(F_155(x), F_151(x)*F_27(x))
Eq(F_156(x), F_157(x) + F_161(x))
Eq(F_157(x), F_130(x) + F_158(x) + F_160(x))
Eq(F_158(x), F_159(x)*F_27(x))
Eq(F_159(x), F_157(x) + F_27(x))
Eq(F_160(x), F_27(x)*F_94(x))
Eq(F_161(x), F_130(x) + F_162(x) + F_168(x) + F_169(x))
Eq(F_162(x), F_163(x)*F_27(x))
Eq(F_163(x), F_161(x) + F_164(x))
Eq(F_164(x), F_130(x) + F_165(x) + F_166(x))
Eq(F_165(x), F_27(x)*F_94(x))
Eq(F_166(x), F_167(x)*F_27(x))
Eq(F_167(x), F_164(x) + F_27(x))
Eq(F_168(x), F_152(x)*F_27(x))
Eq(F_169(x), F_156(x)*F_27(x))
Eq(F_170(x), F_171(x) + F_187(x))
Eq(F_171(x), F_126(x) + F_172(x))
Eq(F_172(x), F_130(x) + F_173(x) + F_175(x))
Eq(F_173(x), F_174(x)*F_27(x))
Eq(F_174(x), F_143(x) + F_172(x))
Eq(F_175(x), F_176(x)*F_27(x))
Eq(F_176(x), F_125(x) + F_177(x))
Eq(F_177(x), F_178(x) + F_182(x))
Eq(F_178(x), F_130(x) + F_179(x) + F_181(x))
Eq(F_179(x), F_180(x)*F_27(x))
Eq(F_180(x), F_178(x) + F_27(x))
Eq(F_181(x), F_126(x)*F_27(x))
Eq(F_182(x), F_130(x) + F_183(x) + F_185(x) + F_186(x))
Eq(F_183(x), F_184(x)*F_27(x))
Eq(F_184(x), F_164(x) + F_182(x))
Eq(F_185(x), F_129(x)*F_27(x))
Eq(F_186(x), F_177(x)*F_27(x))
Eq(F_187(x), F_129(x) + F_188(x))
Eq(F_188(x), F_130(x) + F_189(x) + F_191(x) + F_193(x))
Eq(F_189(x), F_190(x)*F_27(x))
Eq(F_190(x), F_146(x) + F_188(x))
Eq(F_191(x), F_192(x)*F_27(x))
Eq(F_192(x), F_172(x) + F_188(x))
Eq(F_193(x), F_194(x)*F_27(x))
Eq(F_194(x), F_195(x) + F_202(x))
Eq(F_195(x), F_129(x) + F_196(x))
Eq(F_196(x), F_130(x) + F_197(x) + F_199(x) + F_201(x))
Eq(F_197(x), F_198(x)*F_27(x))
Eq(F_198(x), F_152(x) + F_196(x))
Eq(F_199(x), F_200(x)*F_27(x))
Eq(F_200(x), F_129(x) + F_196(x))
Eq(F_201(x), F_195(x)*F_27(x))
Eq(F_202(x), F_203(x) + F_209(x))
Eq(F_203(x), F_130(x) + F_204(x) + F_206(x) + F_208(x))
Eq(F_204(x), F_205(x)*F_27(x))
Eq(F_205(x), F_157(x) + F_203(x))
Eq(F_206(x), F_207(x)*F_27(x))
Eq(F_207(x), F_178(x) + F_203(x))
Eq(F_208(x), F_129(x)*F_27(x))
Eq(F_209(x), F_130(x) + F_210(x) + F_212(x) + F_214(x) + F_215(x))
Eq(F_210(x), F_211(x)*F_27(x))
Eq(F_211(x), F_161(x) + F_209(x))
Eq(F_212(x), F_213(x)*F_27(x))
Eq(F_213(x), F_182(x) + F_209(x))
Eq(F_214(x), F_196(x)*F_27(x))
Eq(F_215(x), F_202(x)*F_27(x))
Eq(F_216(x), F_2(x)*F_217(x))
Eq(F_217(x), F_218(x) + F_219(x))
Eq(F_218(x), F_151(x) + F_93(x))
Eq(F_219(x), F_125(x) + F_195(x))
Eq(F_220(x), F_221(x))
Eq(F_221(x), F_124(x)*F_222(x)*F_27(x))
Eq(F_222(x), F_220(x) + F_223(x))
Eq(F_223(x), F_224(x) - F_249(x))
Eq(F_224(x), F_225(x)/F_27(x))
Eq(F_225(x), F_226(x))
Eq(F_226(x), F_227(x) - F_241(x))
Eq(F_227(x), F_228(x) - F_237(x))
Eq(F_228(x), F_229(x)/F_27(x))
Eq(F_229(x), F_230(x))
Eq(F_230(x), -F_231(x) + F_4(x))
Eq(F_231(x), F_232(x))
Eq(F_232(x), F_0(x) + F_233(x))
Eq(F_233(x), F_2(x) + F_234(x))
Eq(F_234(x), F_143(x)*F_235(x))
Eq(F_235(x), F_236(x))
Eq(F_236(x), F_124(x)*F_27(x))
Eq(F_237(x), F_18(x) - F_238(x))
Eq(F_238(x), F_239(x) + F_4(x))
Eq(F_239(x), F_240(x))
Eq(F_240(x), F_22(x)*F_27(x))
Eq(F_241(x), F_242(x))
Eq(F_242(x), F_243(x)*F_27(x))
Eq(F_243(x), F_244(x) + F_245(x))
Eq(F_244(x), F_227(x))
Eq(F_245(x), F_246(x))
Eq(F_246(x), F_124(x)*F_247(x)*F_27(x))
Eq(F_247(x), F_238(x) + F_248(x))
Eq(F_248(x), F_239(x))
Eq(F_249(x), F_250(x) + F_253(x))
Eq(F_250(x), F_251(x))
Eq(F_251(x), F_130(x) + F_155(x) + F_252(x))
Eq(F_252(x), F_251(x)*F_27(x))
Eq(F_253(x), F_254(x) + F_257(x))
Eq(F_254(x), F_255(x))
Eq(F_255(x), F_130(x) + F_133(x) + F_256(x))
Eq(F_256(x), F_255(x)*F_27(x))
Eq(F_257(x), F_258(x))
Eq(F_258(x), F_130(x) + F_201(x) + F_259(x) + F_261(x))
Eq(F_259(x), F_260(x)*F_27(x))
Eq(F_260(x), F_251(x) + F_258(x))
Eq(F_261(x), F_262(x)*F_27(x))
Eq(F_262(x), F_255(x) + F_258(x))
Eq(F_263(x), F_264(x)/F_27(x))
Eq(F_264(x), F_265(x))
Eq(F_265(x), F_266(x)*F_27(x)*F_36(x))
Eq(F_266(x), F_267(x)/(F_27(x)*F_93(x)))
Eq(F_267(x), F_39(x))
Eq(F_268(x), F_269(x))
Eq(F_269(x), F_27(x)*F_270(x))
Eq(F_270(x), F_247(x) + F_271(x))
Eq(F_271(x), F_272(x))
Eq(F_272(x), F_27(x)*F_273(x))
Eq(F_273(x), F_274(x) + F_296(x))
Eq(F_274(x), F_275(x) + F_278(x))
Eq(F_275(x), F_276(x))
Eq(F_276(x), F_277(x)*F_4(x))
Eq(F_277(x), F_1(x) + F_235(x))
Eq(F_278(x), F_279(x))
Eq(F_279(x), F_124(x)*F_27(x)*F_280(x))
Eq(F_280(x), -F_273(x) + F_281(x))
Eq(F_281(x), F_282(x)/F_27(x))
Eq(F_282(x), F_283(x))
Eq(F_283(x), F_284(x)/(F_124(x)*F_27(x)*F_48(x)))
Eq(F_284(x), F_285(x))
Eq(F_285(x), F_27(x)*F_286(x)*F_48(x))
Eq(F_286(x), F_287(x) + F_295(x))
Eq(F_287(x), F_288(x) + F_291(x))
Eq(F_288(x), F_289(x))
Eq(F_289(x), F_290(x)*F_66(x))
Eq(F_290(x), F_235(x) + F_277(x))
Eq(F_291(x), F_292(x))
Eq(F_292(x), -F_293(x) + F_64(x))
Eq(F_293(x), F_294(x))
Eq(F_294(x), F_277(x)*F_65(x))
Eq(F_295(x), F_292(x))
Eq(F_296(x), F_297(x))
Eq(F_297(x), F_274(x) - F_4(x))
Eq(F_298(x), F_299(x))
Eq(F_299(x), F_27(x)*F_300(x))
Eq(F_300(x), F_301(x) + F_303(x))
Eq(F_301(x), F_302(x))
Eq(F_302(x), F_27(x)*F_280(x))
Eq(F_303(x), F_304(x)/(F_27(x)*F_48(x)))
Eq(F_304(x), F_305(x))
Eq(F_305(x), F_27(x)*F_306(x))
Eq(F_306(x), F_307(x) - F_309(x))
Eq(F_307(x), F_308(x)/F_27(x))
Eq(F_308(x), F_10(x))
Eq(F_309(x), F_0(x)*F_7(x))
Pack JSON:
{"name": "requirement_placements", "initial_strats": [{"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [], "symmetry": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementInsertionFactory", "ignore_parent": false, "maxreqlen": 2, "extra_basis": [], "limited_insertion": true, "allow_factorable_insertions": true}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 1, 4, 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], [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, 1, 4, 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], [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], [0, 0], [2, 0]]}, {"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], [0, 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, 1, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[2, 0], [2, 0], [2, 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": [[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": [[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, 1, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1, 4, 3], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 1, 4, 3], "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], [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], [0, 0], [1, 0]]}, {"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], [0, 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, 1, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[1, 0], [1, 0], [1, 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": [[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": [[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, 1, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1, 4, 3], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 1, 4, 3], "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], [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, 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[{"patt": [0], "pos": [[0, 1]]}], [{"patt": [1, 0], "pos": [[0, 2], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 2], [0, 1]]}]], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [0, 1], "pos": [[0, 2], [0, 3]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 3], [0, 2]]}, {"patt": [1, 0], "pos": [[0, 3], [0, 3]]}, {"patt": [0, 2, 1], "pos": [[0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 1], "pos": [[0, 2], [0, 2], [0, 2]]}, {"patt": [2, 1, 0], "pos": [[0, 2], [0, 2], [0, 2]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 1]]}], [{"patt": [0], "pos": [[0, 2]]}], [{"patt": [1, 0], "pos": [[0, 3], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 3], [0, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementInsertionStrategy", "ignore_parent": true, "gps": [{"patt": [0], "pos": [[0, 2]]}]}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1], "pos": [[0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[1, 2], [1, 2]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}], "indices": [0], "direction": 2, "own_col": true, "own_row": true, "include_empty": false}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [2, 1, 0], "pos": [[0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[2, 0]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [2, 1]]}, {"patt": [1, 0], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[2, 1], [2, 1]]}], "requirements": [[{"patt": [0], "pos": [[1, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}], "indices": [0], "direction": 3, "own_col": true, "own_row": true, "include_empty": false}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[2, 0]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [2, 1]]}, {"patt": [1, 0], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[2, 1], [2, 1]]}], "requirements": [[{"patt": [0], "pos": [[1, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0], "pos": [[2, 0]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[2, 2], [2, 2]]}], "requirements": [[{"patt": [0], "pos": [[1, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}]}
Specification 3
Strategy pack name: point_placements_req_corrob
Tree: http://www.permpal.com/tree/25842/
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[19,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[19,x]*F[8,x]
F[8,x] = F[10,x]+F[9,x]
F[9,x] = F[2,x]*F[4,x]
F[10,x] = F[11,x]
F[11,x] = F[12,x]*F[19,x]
F[12,x] = F[13,x]+F[278,x]
F[13,x] = F[14,x]*F[195,x]
F[14,x] = F[15,x]+F[23,x]
F[15,x] = F[16,x]*F[20,x]
F[16,x] = F[0,x]+F[17,x]
F[17,x] = F[18,x]
F[18,x] = F[14,x]*F[19,x]
F[19,x] = x
F[20,x] = F[1,x]+F[21,x]
F[21,x] = F[22,x]
F[22,x] = F[19,x]*F[20,x]
F[23,x] = F[24,x]
F[24,x] = F[19,x]*F[20,x]*F[25,x]
F[25,x] = 1/F[19,x]*F[26,x]
F[26,x] = F[27,x]
F[27,x] = -F[34,x]+F[28,x]
F[28,x] = 1/F[19,x]*F[29,x]
F[29,x] = F[30,x]
F[30,x] = -F[2,x]+F[31,x]
F[31,x] = -F[0,x]+F[32,x]
F[32,x] = 1/F[19,x]*F[33,x]
F[33,x] = F[2,x]
F[34,x] = F[35,x]+F[36,x]
F[35,x] = F[2,x]*F[32,x]
F[36,x] = F[37,x]
F[37,x] = F[19,x]*F[38,x]*F[40,x]
F[38,x] = 1/F[19,x]*F[39,x]
F[39,x] = F[27,x]
F[40,x] = F[2,x]+F[41,x]
F[41,x] = F[42,x]
F[42,x] = F[19,x]*F[43,x]
F[43,x] = F[44,x]+F[45,x]
F[44,x] = F[0,x]+F[41,x]
F[45,x] = F[46,x]+F[47,x]
F[46,x] = F[2,x]*F[20,x]
F[47,x] = F[48,x]
F[48,x] = F[19,x]*F[49,x]
F[49,x] = F[140,x]+F[50,x]
F[50,x] = F[2,x]*F[51,x]
F[51,x] = F[43,x]+F[52,x]
F[52,x] = F[53,x]
F[53,x] = F[19,x]*F[54,x]
F[54,x] = F[51,x]+F[55,x]
F[55,x] = F[56,x]
F[56,x] = F[19,x]*F[57,x]*F[71,x]
F[57,x] = F[58,x]+F[59,x]
F[58,x] = F[1,x]+F[59,x]
F[59,x] = F[60,x]
F[60,x] = F[19,x]*F[61,x]
F[61,x] = F[20,x]+F[62,x]
F[62,x] = F[63,x]+F[66,x]
F[63,x] = F[64,x]
F[64,x] = F[19,x]*F[65,x]
F[65,x] = F[1,x]+F[63,x]
F[66,x] = F[67,x]+F[68,x]+F[70,x]
F[67,x] = 0
F[68,x] = F[19,x]*F[69,x]
F[69,x] = F[21,x]+F[66,x]
F[70,x] = F[19,x]*F[62,x]
F[71,x] = F[138,x]+F[72,x]
F[72,x] = -F[126,x]+F[73,x]
F[73,x] = 1/F[19,x]/F[65,x]*F[74,x]
F[74,x] = F[75,x]
F[75,x] = -F[108,x]+F[76,x]
F[76,x] = 1/F[19,x]*F[77,x]
F[77,x] = F[78,x]
F[78,x] = F[104,x]+F[79,x]
F[79,x] = F[80,x]
F[80,x] = F[19,x]*F[81,x]
F[81,x] = F[82,x]+F[83,x]
F[82,x] = F[1,x]+F[79,x]
F[83,x] = F[84,x]+F[89,x]
F[84,x] = F[85,x]
F[85,x] = F[19,x]*F[86,x]
F[86,x] = F[87,x]+F[88,x]
F[87,x] = F[1,x]+F[84,x]
F[88,x] = F[21,x]
F[89,x] = F[102,x]+F[67,x]+F[90,x]
F[90,x] = F[19,x]*F[91,x]
F[91,x] = F[92,x]+F[96,x]
F[92,x] = F[21,x]+F[93,x]
F[93,x] = F[67,x]+F[90,x]+F[94,x]
F[94,x] = F[19,x]*F[95,x]
F[95,x] = F[84,x]+F[93,x]
F[96,x] = F[97,x]
F[97,x] = F[100,x]+F[67,x]+F[98,x]
F[98,x] = F[19,x]*F[99,x]
F[99,x] = F[21,x]+F[97,x]
F[100,x] = F[101,x]*F[19,x]
F[101,x] = F[21,x]+F[97,x]
F[102,x] = F[103,x]*F[19,x]
F[103,x] = F[83,x]
F[104,x] = -F[2,x]+F[105,x]
F[105,x] = -F[82,x]+F[106,x]
F[106,x] = 1/F[19,x]*F[107,x]
F[107,x] = F[2,x]
F[108,x] = F[106,x]+F[109,x]
F[109,x] = -F[124,x]+F[110,x]
F[110,x] = F[111,x]
F[111,x] = F[112,x]*F[19,x]
F[112,x] = F[113,x]+F[122,x]
F[113,x] = 1/F[19,x]*F[114,x]
F[114,x] = F[115,x]
F[115,x] = -F[118,x]+F[116,x]
F[116,x] = 1/F[19,x]*F[117,x]
F[117,x] = F[104,x]
F[118,x] = -F[121,x]+F[119,x]
F[119,x] = 1/F[19,x]*F[120,x]
F[120,x] = F[105,x]
F[121,x] = F[106,x]+F[45,x]
F[122,x] = F[123,x]
F[123,x] = F[19,x]*F[58,x]*F[65,x]*F[73,x]
F[124,x] = F[125,x]
F[125,x] = F[19,x]*F[75,x]
F[126,x] = F[127,x]
F[127,x] = F[128,x]*F[19,x]*F[72,x]
F[128,x] = F[129,x]+F[130,x]
F[129,x] = F[101,x]+F[20,x]
F[130,x] = F[131,x]+F[62,x]
F[131,x] = F[132,x]+F[66,x]
F[132,x] = F[133,x]+F[135,x]+F[137,x]+F[67,x]
F[133,x] = F[134,x]*F[19,x]
F[134,x] = F[132,x]+F[97,x]
F[135,x] = F[136,x]*F[19,x]
F[136,x] = F[132,x]+F[66,x]
F[137,x] = F[131,x]*F[19,x]
F[138,x] = F[139,x]
F[139,x] = F[128,x]*F[19,x]*F[72,x]
F[140,x] = F[141,x]
F[141,x] = F[142,x]*F[19,x]
F[142,x] = F[143,x]+F[144,x]
F[143,x] = F[14,x]*F[72,x]
F[144,x] = F[138,x]*F[145,x]
F[145,x] = 1/F[19,x]*F[146,x]
F[146,x] = F[147,x]
F[147,x] = -F[193,x]+F[148,x]
F[148,x] = -F[192,x]+F[149,x]
F[149,x] = -F[153,x]+F[150,x]
F[150,x] = F[151,x]+F[152,x]
F[151,x] = F[0,x]*F[32,x]
F[152,x] = F[27,x]+F[36,x]
F[153,x] = F[154,x]
F[154,x] = F[155,x]*F[19,x]
F[155,x] = F[156,x]+F[177,x]
F[156,x] = F[157,x]+F[167,x]
F[157,x] = F[150,x]+F[158,x]
F[158,x] = F[159,x]
F[159,x] = F[0,x]*F[160,x]*F[57,x]
F[160,x] = F[161,x]
F[161,x] = F[162,x]*F[19,x]
F[162,x] = F[163,x]+F[20,x]
F[163,x] = F[164,x]+F[19,x]
F[164,x] = F[165,x]+F[166,x]+F[67,x]
F[165,x] = F[19,x]*F[21,x]
F[166,x] = F[163,x]*F[19,x]
F[167,x] = -F[158,x]+F[168,x]
F[168,x] = 1/F[19,x]*F[169,x]
F[169,x] = F[170,x]
F[170,x] = -F[176,x]+F[171,x]
F[171,x] = -F[174,x]+F[172,x]
F[172,x] = 1/F[19,x]*F[173,x]
F[173,x] = F[30,x]
F[174,x] = F[175,x]
F[175,x] = F[19,x]*F[38,x]
F[176,x] = F[2,x]+F[30,x]
F[177,x] = F[178,x]+F[183,x]
F[178,x] = F[179,x]*F[181,x]
F[179,x] = F[174,x]+F[180,x]
F[180,x] = F[171,x]+F[32,x]
F[181,x] = F[182,x]
F[182,x] = F[19,x]*F[44,x]*F[57,x]
F[183,x] = F[184,x]
F[184,x] = F[185,x]*F[19,x]*F[44,x]
F[185,x] = F[186,x]+F[191,x]
F[186,x] = -F[190,x]+F[187,x]
F[187,x] = 1/F[19,x]*F[188,x]
F[188,x] = F[189,x]
F[189,x] = -F[147,x]+F[27,x]
F[190,x] = F[179,x]*F[59,x]
F[191,x] = F[186,x]
F[192,x] = F[0,x]^2
F[193,x] = F[194,x]
F[194,x] = F[145,x]*F[19,x]*F[40,x]
F[195,x] = 1/F[19,x]/F[269,x]*F[196,x]
F[196,x] = F[197,x]
F[197,x] = -F[265,x]+F[198,x]
F[198,x] = 1/F[19,x]*F[199,x]
F[199,x] = F[200,x]
F[200,x] = F[19,x]*F[201,x]
F[201,x] = F[202,x]+F[223,x]
F[202,x] = F[203,x]*F[41,x]
F[203,x] = F[204,x]+F[206,x]
F[204,x] = F[20,x]+F[205,x]
F[205,x] = F[160,x]
F[206,x] = F[207,x]+F[62,x]
F[207,x] = F[208,x]
F[208,x] = F[209,x]+F[211,x]+F[67,x]
F[209,x] = F[19,x]*F[210,x]
F[210,x] = F[160,x]+F[208,x]
F[211,x] = F[19,x]*F[212,x]
F[212,x] = F[213,x]+F[62,x]
F[213,x] = F[214,x]+F[218,x]
F[214,x] = F[215,x]+F[217,x]+F[67,x]
F[215,x] = F[19,x]*F[216,x]
F[216,x] = F[19,x]+F[214,x]
F[217,x] = F[19,x]*F[63,x]
F[218,x] = F[219,x]+F[221,x]+F[222,x]+F[67,x]
F[219,x] = F[19,x]*F[220,x]
F[220,x] = F[164,x]+F[218,x]
F[221,x] = F[19,x]*F[66,x]
F[222,x] = F[19,x]*F[213,x]
F[223,x] = F[224,x]*F[44,x]
F[224,x] = F[225,x]+F[242,x]
F[225,x] = F[101,x]+F[226,x]
F[226,x] = F[227,x]
F[227,x] = F[228,x]+F[230,x]+F[67,x]
F[228,x] = F[19,x]*F[229,x]
F[229,x] = F[160,x]+F[227,x]
F[230,x] = F[19,x]*F[231,x]
F[231,x] = F[101,x]+F[232,x]
F[232,x] = F[233,x]+F[237,x]
F[233,x] = F[234,x]+F[236,x]+F[67,x]
F[234,x] = F[19,x]*F[235,x]
F[235,x] = F[19,x]+F[233,x]
F[236,x] = F[19,x]*F[21,x]
F[237,x] = F[238,x]+F[240,x]+F[241,x]+F[67,x]
F[238,x] = F[19,x]*F[239,x]
F[239,x] = F[164,x]+F[237,x]
F[240,x] = F[19,x]*F[97,x]
F[241,x] = F[19,x]*F[232,x]
F[242,x] = F[131,x]+F[243,x]
F[243,x] = F[244,x]
F[244,x] = F[245,x]+F[247,x]+F[249,x]+F[67,x]
F[245,x] = F[19,x]*F[246,x]
F[246,x] = F[227,x]+F[244,x]
F[247,x] = F[19,x]*F[248,x]
F[248,x] = F[208,x]+F[244,x]
F[249,x] = F[19,x]*F[250,x]
F[250,x] = F[131,x]+F[251,x]
F[251,x] = F[252,x]+F[258,x]
F[252,x] = F[253,x]+F[255,x]+F[257,x]+F[67,x]
F[253,x] = F[19,x]*F[254,x]
F[254,x] = F[233,x]+F[252,x]
F[255,x] = F[19,x]*F[256,x]
F[256,x] = F[214,x]+F[252,x]
F[257,x] = F[19,x]*F[66,x]
F[258,x] = F[259,x]+F[261,x]+F[263,x]+F[264,x]+F[67,x]
F[259,x] = F[19,x]*F[260,x]
F[260,x] = F[237,x]+F[258,x]
F[261,x] = F[19,x]*F[262,x]
F[262,x] = F[218,x]+F[258,x]
F[263,x] = F[132,x]*F[19,x]
F[264,x] = F[19,x]*F[251,x]
F[265,x] = F[266,x]
F[266,x] = F[19,x]*F[267,x]*F[65,x]
F[267,x] = F[268,x]+F[275,x]
F[268,x] = F[269,x]*F[272,x]
F[269,x] = F[270,x]+F[271,x]
F[270,x] = F[204,x]+F[225,x]
F[271,x] = F[206,x]+F[242,x]
F[272,x] = F[0,x]+F[273,x]
F[273,x] = F[274,x]
F[274,x] = F[0,x]*F[19,x]*F[61,x]
F[275,x] = F[128,x]*F[276,x]
F[276,x] = F[277,x]
F[277,x] = F[0,x]*F[19,x]*F[203,x]
F[278,x] = F[145,x]*F[279,x]
F[279,x] = F[280,x]
F[280,x] = F[19,x]*F[195,x]*F[61,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_{19}\! \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_{19}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{10}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{2}\! \left(x \right) F_{4}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right) F_{19}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)+F_{278}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right) F_{195}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right)+F_{23}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right) F_{20}\! \left(x \right)
F_{16}\! \left(x \right) = F_{0}\! \left(x \right)+F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = F_{14}\! \left(x \right) F_{19}\! \left(x \right)
F_{19}\! \left(x \right) = x
F_{20}\! \left(x \right) = F_{1}\! \left(x \right)+F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{19}\! \left(x \right) F_{20}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{19}\! \left(x \right) F_{20}\! \left(x \right) F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = \frac{F_{26}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = -F_{34}\! \left(x \right)+F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = \frac{F_{29}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = \frac{F_{33}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{33}\! \left(x \right) = F_{2}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)+F_{36}\! \left(x \right)
F_{35}\! \left(x \right) = F_{2}\! \left(x \right) F_{32}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{19}\! \left(x \right) F_{38}\! \left(x \right) F_{40}\! \left(x \right)
F_{38}\! \left(x \right) = \frac{F_{39}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{39}\! \left(x \right) = F_{27}\! \left(x \right)
F_{40}\! \left(x \right) = F_{2}\! \left(x \right)+F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{19}\! \left(x \right) F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{44}\! \left(x \right)+F_{45}\! \left(x \right)
F_{44}\! \left(x \right) = F_{0}\! \left(x \right)+F_{41}\! \left(x \right)
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)+F_{47}\! \left(x \right)
F_{46}\! \left(x \right) = F_{2}\! \left(x \right) F_{20}\! \left(x \right)
F_{47}\! \left(x \right) = F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{19}\! \left(x \right) F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{140}\! \left(x \right)+F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{2}\! \left(x \right) F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{43}\! \left(x \right)+F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{19}\! \left(x \right) F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{51}\! \left(x \right)+F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{19}\! \left(x \right) F_{57}\! \left(x \right) F_{71}\! \left(x \right)
F_{57}\! \left(x \right) = F_{58}\! \left(x \right)+F_{59}\! \left(x \right)
F_{58}\! \left(x \right) = F_{1}\! \left(x \right)+F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{19}\! \left(x \right) F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{20}\! \left(x \right)+F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)+F_{66}\! \left(x \right)
F_{63}\! \left(x \right) = F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{19}\! \left(x \right) F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{1}\! \left(x \right)+F_{63}\! \left(x \right)
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)+F_{68}\! \left(x \right)+F_{70}\! \left(x \right)
F_{67}\! \left(x \right) = 0
F_{68}\! \left(x \right) = F_{19}\! \left(x \right) F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{21}\! \left(x \right)+F_{66}\! \left(x \right)
F_{70}\! \left(x \right) = F_{19}\! \left(x \right) F_{62}\! \left(x \right)
F_{71}\! \left(x \right) = F_{138}\! \left(x \right)+F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = -F_{126}\! \left(x \right)+F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = \frac{F_{74}\! \left(x \right)}{F_{19}\! \left(x \right) F_{65}\! \left(x \right)}
F_{74}\! \left(x \right) = F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = -F_{108}\! \left(x \right)+F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = \frac{F_{77}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{77}\! \left(x \right) = F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{104}\! \left(x \right)+F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{19}\! \left(x \right) F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{82}\! \left(x \right)+F_{83}\! \left(x \right)
F_{82}\! \left(x \right) = F_{1}\! \left(x \right)+F_{79}\! \left(x \right)
F_{83}\! \left(x \right) = F_{84}\! \left(x \right)+F_{89}\! \left(x \right)
F_{84}\! \left(x \right) = F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{19}\! \left(x \right) F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{87}\! \left(x \right)+F_{88}\! \left(x \right)
F_{87}\! \left(x \right) = F_{1}\! \left(x \right)+F_{84}\! \left(x \right)
F_{88}\! \left(x \right) = F_{21}\! \left(x \right)
F_{89}\! \left(x \right) = F_{102}\! \left(x \right)+F_{67}\! \left(x \right)+F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{19}\! \left(x \right) F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = F_{92}\! \left(x \right)+F_{96}\! \left(x \right)
F_{92}\! \left(x \right) = F_{21}\! \left(x \right)+F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{67}\! \left(x \right)+F_{90}\! \left(x \right)+F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{19}\! \left(x \right) F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{84}\! \left(x \right)+F_{93}\! \left(x \right)
F_{96}\! \left(x \right) = F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{100}\! \left(x \right)+F_{67}\! \left(x \right)+F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{19}\! \left(x \right) F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{21}\! \left(x \right)+F_{97}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right) F_{19}\! \left(x \right)
F_{101}\! \left(x \right) = F_{21}\! \left(x \right)+F_{97}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right) F_{19}\! \left(x \right)
F_{103}\! \left(x \right) = F_{83}\! \left(x \right)
F_{104}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{105}\! \left(x \right)
F_{105}\! \left(x \right) = -F_{82}\! \left(x \right)+F_{106}\! \left(x \right)
F_{106}\! \left(x \right) = \frac{F_{107}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{107}\! \left(x \right) = F_{2}\! \left(x \right)
F_{108}\! \left(x \right) = F_{106}\! \left(x \right)+F_{109}\! \left(x \right)
F_{109}\! \left(x \right) = -F_{124}\! \left(x \right)+F_{110}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right) F_{19}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)+F_{122}\! \left(x \right)
F_{113}\! \left(x \right) = \frac{F_{114}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{114}\! \left(x \right) = F_{115}\! \left(x \right)
F_{115}\! \left(x \right) = -F_{118}\! \left(x \right)+F_{116}\! \left(x \right)
F_{116}\! \left(x \right) = \frac{F_{117}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{117}\! \left(x \right) = F_{104}\! \left(x \right)
F_{118}\! \left(x \right) = -F_{121}\! \left(x \right)+F_{119}\! \left(x \right)
F_{119}\! \left(x \right) = \frac{F_{120}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{120}\! \left(x \right) = F_{105}\! \left(x \right)
F_{121}\! \left(x \right) = F_{106}\! \left(x \right)+F_{45}\! \left(x \right)
F_{122}\! \left(x \right) = F_{123}\! \left(x \right)
F_{123}\! \left(x \right) = F_{19}\! \left(x \right) F_{58}\! \left(x \right) F_{65}\! \left(x \right) F_{73}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)
F_{125}\! \left(x \right) = F_{19}\! \left(x \right) F_{75}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right) F_{19}\! \left(x \right) F_{72}\! \left(x \right)
F_{128}\! \left(x \right) = F_{129}\! \left(x \right)+F_{130}\! \left(x \right)
F_{129}\! \left(x \right) = F_{101}\! \left(x \right)+F_{20}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right)+F_{62}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right)+F_{66}\! \left(x \right)
F_{132}\! \left(x \right) = F_{133}\! \left(x \right)+F_{135}\! \left(x \right)+F_{137}\! \left(x \right)+F_{67}\! \left(x \right)
F_{133}\! \left(x \right) = F_{134}\! \left(x \right) F_{19}\! \left(x \right)
F_{134}\! \left(x \right) = F_{132}\! \left(x \right)+F_{97}\! \left(x \right)
F_{135}\! \left(x \right) = F_{136}\! \left(x \right) F_{19}\! \left(x \right)
F_{136}\! \left(x \right) = F_{132}\! \left(x \right)+F_{66}\! \left(x \right)
F_{137}\! \left(x \right) = F_{131}\! \left(x \right) F_{19}\! \left(x \right)
F_{138}\! \left(x \right) = F_{139}\! \left(x \right)
F_{139}\! \left(x \right) = F_{128}\! \left(x \right) F_{19}\! \left(x \right) F_{72}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right) F_{19}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right)+F_{144}\! \left(x \right)
F_{143}\! \left(x \right) = F_{14}\! \left(x \right) F_{72}\! \left(x \right)
F_{144}\! \left(x \right) = F_{138}\! \left(x \right) F_{145}\! \left(x \right)
F_{145}\! \left(x \right) = \frac{F_{146}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{146}\! \left(x \right) = F_{147}\! \left(x \right)
F_{147}\! \left(x \right) = -F_{193}\! \left(x \right)+F_{148}\! \left(x \right)
F_{148}\! \left(x \right) = -F_{192}\! \left(x \right)+F_{149}\! \left(x \right)
F_{149}\! \left(x \right) = -F_{153}\! \left(x \right)+F_{150}\! \left(x \right)
F_{150}\! \left(x \right) = F_{151}\! \left(x \right)+F_{152}\! \left(x \right)
F_{151}\! \left(x \right) = F_{0}\! \left(x \right) F_{32}\! \left(x \right)
F_{152}\! \left(x \right) = F_{27}\! \left(x \right)+F_{36}\! \left(x \right)
F_{153}\! \left(x \right) = F_{154}\! \left(x \right)
F_{154}\! \left(x \right) = F_{155}\! \left(x \right) F_{19}\! \left(x \right)
F_{155}\! \left(x \right) = F_{156}\! \left(x \right)+F_{177}\! \left(x \right)
F_{156}\! \left(x \right) = F_{157}\! \left(x \right)+F_{167}\! \left(x \right)
F_{157}\! \left(x \right) = F_{150}\! \left(x \right)+F_{158}\! \left(x \right)
F_{158}\! \left(x \right) = F_{159}\! \left(x \right)
F_{159}\! \left(x \right) = F_{0}\! \left(x \right) F_{160}\! \left(x \right) F_{57}\! \left(x \right)
F_{160}\! \left(x \right) = F_{161}\! \left(x \right)
F_{161}\! \left(x \right) = F_{162}\! \left(x \right) F_{19}\! \left(x \right)
F_{162}\! \left(x \right) = F_{163}\! \left(x \right)+F_{20}\! \left(x \right)
F_{163}\! \left(x \right) = F_{164}\! \left(x \right)+F_{19}\! \left(x \right)
F_{164}\! \left(x \right) = F_{165}\! \left(x \right)+F_{166}\! \left(x \right)+F_{67}\! \left(x \right)
F_{165}\! \left(x \right) = F_{19}\! \left(x \right) F_{21}\! \left(x \right)
F_{166}\! \left(x \right) = F_{163}\! \left(x \right) F_{19}\! \left(x \right)
F_{167}\! \left(x \right) = -F_{158}\! \left(x \right)+F_{168}\! \left(x \right)
F_{168}\! \left(x \right) = \frac{F_{169}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{169}\! \left(x \right) = F_{170}\! \left(x \right)
F_{170}\! \left(x \right) = -F_{176}\! \left(x \right)+F_{171}\! \left(x \right)
F_{171}\! \left(x \right) = -F_{174}\! \left(x \right)+F_{172}\! \left(x \right)
F_{172}\! \left(x \right) = \frac{F_{173}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{173}\! \left(x \right) = F_{30}\! \left(x \right)
F_{174}\! \left(x \right) = F_{175}\! \left(x \right)
F_{175}\! \left(x \right) = F_{19}\! \left(x \right) F_{38}\! \left(x \right)
F_{176}\! \left(x \right) = F_{2}\! \left(x \right)+F_{30}\! \left(x \right)
F_{177}\! \left(x \right) = F_{178}\! \left(x \right)+F_{183}\! \left(x \right)
F_{178}\! \left(x \right) = F_{179}\! \left(x \right) F_{181}\! \left(x \right)
F_{179}\! \left(x \right) = F_{174}\! \left(x \right)+F_{180}\! \left(x \right)
F_{180}\! \left(x \right) = F_{171}\! \left(x \right)+F_{32}\! \left(x \right)
F_{181}\! \left(x \right) = F_{182}\! \left(x \right)
F_{182}\! \left(x \right) = F_{19}\! \left(x \right) F_{44}\! \left(x \right) F_{57}\! \left(x \right)
F_{183}\! \left(x \right) = F_{184}\! \left(x \right)
F_{184}\! \left(x \right) = F_{185}\! \left(x \right) F_{19}\! \left(x \right) F_{44}\! \left(x \right)
F_{185}\! \left(x \right) = F_{186}\! \left(x \right)+F_{191}\! \left(x \right)
F_{186}\! \left(x \right) = -F_{190}\! \left(x \right)+F_{187}\! \left(x \right)
F_{187}\! \left(x \right) = \frac{F_{188}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{188}\! \left(x \right) = F_{189}\! \left(x \right)
F_{189}\! \left(x \right) = -F_{147}\! \left(x \right)+F_{27}\! \left(x \right)
F_{190}\! \left(x \right) = F_{179}\! \left(x \right) F_{59}\! \left(x \right)
F_{191}\! \left(x \right) = F_{186}\! \left(x \right)
F_{192}\! \left(x \right) = F_{0} \left(x \right)^{2}
F_{193}\! \left(x \right) = F_{194}\! \left(x \right)
F_{194}\! \left(x \right) = F_{145}\! \left(x \right) F_{19}\! \left(x \right) F_{40}\! \left(x \right)
F_{195}\! \left(x \right) = \frac{F_{196}\! \left(x \right)}{F_{19}\! \left(x \right) F_{269}\! \left(x \right)}
F_{196}\! \left(x \right) = F_{197}\! \left(x \right)
F_{197}\! \left(x \right) = -F_{265}\! \left(x \right)+F_{198}\! \left(x \right)
F_{198}\! \left(x \right) = \frac{F_{199}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{199}\! \left(x \right) = F_{200}\! \left(x \right)
F_{200}\! \left(x \right) = F_{19}\! \left(x \right) F_{201}\! \left(x \right)
F_{201}\! \left(x \right) = F_{202}\! \left(x \right)+F_{223}\! \left(x \right)
F_{202}\! \left(x \right) = F_{203}\! \left(x \right) F_{41}\! \left(x \right)
F_{203}\! \left(x \right) = F_{204}\! \left(x \right)+F_{206}\! \left(x \right)
F_{204}\! \left(x \right) = F_{20}\! \left(x \right)+F_{205}\! \left(x \right)
F_{205}\! \left(x \right) = F_{160}\! \left(x \right)
F_{206}\! \left(x \right) = F_{207}\! \left(x \right)+F_{62}\! \left(x \right)
F_{207}\! \left(x \right) = F_{208}\! \left(x \right)
F_{208}\! \left(x \right) = F_{209}\! \left(x \right)+F_{211}\! \left(x \right)+F_{67}\! \left(x \right)
F_{209}\! \left(x \right) = F_{19}\! \left(x \right) F_{210}\! \left(x \right)
F_{210}\! \left(x \right) = F_{160}\! \left(x \right)+F_{208}\! \left(x \right)
F_{211}\! \left(x \right) = F_{19}\! \left(x \right) F_{212}\! \left(x \right)
F_{212}\! \left(x \right) = F_{213}\! \left(x \right)+F_{62}\! \left(x \right)
F_{213}\! \left(x \right) = F_{214}\! \left(x \right)+F_{218}\! \left(x \right)
F_{214}\! \left(x \right) = F_{215}\! \left(x \right)+F_{217}\! \left(x \right)+F_{67}\! \left(x \right)
F_{215}\! \left(x \right) = F_{19}\! \left(x \right) F_{216}\! \left(x \right)
F_{216}\! \left(x \right) = F_{19}\! \left(x \right)+F_{214}\! \left(x \right)
F_{217}\! \left(x \right) = F_{19}\! \left(x \right) F_{63}\! \left(x \right)
F_{218}\! \left(x \right) = F_{219}\! \left(x \right)+F_{221}\! \left(x \right)+F_{222}\! \left(x \right)+F_{67}\! \left(x \right)
F_{219}\! \left(x \right) = F_{19}\! \left(x \right) F_{220}\! \left(x \right)
F_{220}\! \left(x \right) = F_{164}\! \left(x \right)+F_{218}\! \left(x \right)
F_{221}\! \left(x \right) = F_{19}\! \left(x \right) F_{66}\! \left(x \right)
F_{222}\! \left(x \right) = F_{19}\! \left(x \right) F_{213}\! \left(x \right)
F_{223}\! \left(x \right) = F_{224}\! \left(x \right) F_{44}\! \left(x \right)
F_{224}\! \left(x \right) = F_{225}\! \left(x \right)+F_{242}\! \left(x \right)
F_{225}\! \left(x \right) = F_{101}\! \left(x \right)+F_{226}\! \left(x \right)
F_{226}\! \left(x \right) = F_{227}\! \left(x \right)
F_{227}\! \left(x \right) = F_{228}\! \left(x \right)+F_{230}\! \left(x \right)+F_{67}\! \left(x \right)
F_{228}\! \left(x \right) = F_{19}\! \left(x \right) F_{229}\! \left(x \right)
F_{229}\! \left(x \right) = F_{160}\! \left(x \right)+F_{227}\! \left(x \right)
F_{230}\! \left(x \right) = F_{19}\! \left(x \right) F_{231}\! \left(x \right)
F_{231}\! \left(x \right) = F_{101}\! \left(x \right)+F_{232}\! \left(x \right)
F_{232}\! \left(x \right) = F_{233}\! \left(x \right)+F_{237}\! \left(x \right)
F_{233}\! \left(x \right) = F_{234}\! \left(x \right)+F_{236}\! \left(x \right)+F_{67}\! \left(x \right)
F_{234}\! \left(x \right) = F_{19}\! \left(x \right) F_{235}\! \left(x \right)
F_{235}\! \left(x \right) = F_{19}\! \left(x \right)+F_{233}\! \left(x \right)
F_{236}\! \left(x \right) = F_{19}\! \left(x \right) F_{21}\! \left(x \right)
F_{237}\! \left(x \right) = F_{238}\! \left(x \right)+F_{240}\! \left(x \right)+F_{241}\! \left(x \right)+F_{67}\! \left(x \right)
F_{238}\! \left(x \right) = F_{19}\! \left(x \right) F_{239}\! \left(x \right)
F_{239}\! \left(x \right) = F_{164}\! \left(x \right)+F_{237}\! \left(x \right)
F_{240}\! \left(x \right) = F_{19}\! \left(x \right) F_{97}\! \left(x \right)
F_{241}\! \left(x \right) = F_{19}\! \left(x \right) F_{232}\! \left(x \right)
F_{242}\! \left(x \right) = F_{131}\! \left(x \right)+F_{243}\! \left(x \right)
F_{243}\! \left(x \right) = F_{244}\! \left(x \right)
F_{244}\! \left(x \right) = F_{245}\! \left(x \right)+F_{247}\! \left(x \right)+F_{249}\! \left(x \right)+F_{67}\! \left(x \right)
F_{245}\! \left(x \right) = F_{19}\! \left(x \right) F_{246}\! \left(x \right)
F_{246}\! \left(x \right) = F_{227}\! \left(x \right)+F_{244}\! \left(x \right)
F_{247}\! \left(x \right) = F_{19}\! \left(x \right) F_{248}\! \left(x \right)
F_{248}\! \left(x \right) = F_{208}\! \left(x \right)+F_{244}\! \left(x \right)
F_{249}\! \left(x \right) = F_{19}\! \left(x \right) F_{250}\! \left(x \right)
F_{250}\! \left(x \right) = F_{131}\! \left(x \right)+F_{251}\! \left(x \right)
F_{251}\! \left(x \right) = F_{252}\! \left(x \right)+F_{258}\! \left(x \right)
F_{252}\! \left(x \right) = F_{253}\! \left(x \right)+F_{255}\! \left(x \right)+F_{257}\! \left(x \right)+F_{67}\! \left(x \right)
F_{253}\! \left(x \right) = F_{19}\! \left(x \right) F_{254}\! \left(x \right)
F_{254}\! \left(x \right) = F_{233}\! \left(x \right)+F_{252}\! \left(x \right)
F_{255}\! \left(x \right) = F_{19}\! \left(x \right) F_{256}\! \left(x \right)
F_{256}\! \left(x \right) = F_{214}\! \left(x \right)+F_{252}\! \left(x \right)
F_{257}\! \left(x \right) = F_{19}\! \left(x \right) F_{66}\! \left(x \right)
F_{258}\! \left(x \right) = F_{259}\! \left(x \right)+F_{261}\! \left(x \right)+F_{263}\! \left(x \right)+F_{264}\! \left(x \right)+F_{67}\! \left(x \right)
F_{259}\! \left(x \right) = F_{19}\! \left(x \right) F_{260}\! \left(x \right)
F_{260}\! \left(x \right) = F_{237}\! \left(x \right)+F_{258}\! \left(x \right)
F_{261}\! \left(x \right) = F_{19}\! \left(x \right) F_{262}\! \left(x \right)
F_{262}\! \left(x \right) = F_{218}\! \left(x \right)+F_{258}\! \left(x \right)
F_{263}\! \left(x \right) = F_{132}\! \left(x \right) F_{19}\! \left(x \right)
F_{264}\! \left(x \right) = F_{19}\! \left(x \right) F_{251}\! \left(x \right)
F_{265}\! \left(x \right) = F_{266}\! \left(x \right)
F_{266}\! \left(x \right) = F_{19}\! \left(x \right) F_{267}\! \left(x \right) F_{65}\! \left(x \right)
F_{267}\! \left(x \right) = F_{268}\! \left(x \right)+F_{275}\! \left(x \right)
F_{268}\! \left(x \right) = F_{269}\! \left(x \right) F_{272}\! \left(x \right)
F_{269}\! \left(x \right) = F_{270}\! \left(x \right)+F_{271}\! \left(x \right)
F_{270}\! \left(x \right) = F_{204}\! \left(x \right)+F_{225}\! \left(x \right)
F_{271}\! \left(x \right) = F_{206}\! \left(x \right)+F_{242}\! \left(x \right)
F_{272}\! \left(x \right) = F_{0}\! \left(x \right)+F_{273}\! \left(x \right)
F_{273}\! \left(x \right) = F_{274}\! \left(x \right)
F_{274}\! \left(x \right) = F_{0}\! \left(x \right) F_{19}\! \left(x \right) F_{61}\! \left(x \right)
F_{275}\! \left(x \right) = F_{128}\! \left(x \right) F_{276}\! \left(x \right)
F_{276}\! \left(x \right) = F_{277}\! \left(x \right)
F_{277}\! \left(x \right) = F_{0}\! \left(x \right) F_{19}\! \left(x \right) F_{203}\! \left(x \right)
F_{278}\! \left(x \right) = F_{145}\! \left(x \right) F_{279}\! \left(x \right)
F_{279}\! \left(x \right) = F_{280}\! \left(x \right)
F_{280}\! \left(x \right) = F_{19}\! \left(x \right) F_{195}\! \left(x \right) F_{61}\! \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_19(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_19(x)*F_8(x))
Eq(F_8(x), F_10(x) + F_9(x))
Eq(F_9(x), F_2(x)*F_4(x))
Eq(F_10(x), F_11(x))
Eq(F_11(x), F_12(x)*F_19(x))
Eq(F_12(x), F_13(x) + F_278(x))
Eq(F_13(x), F_14(x)*F_195(x))
Eq(F_14(x), F_15(x) + F_23(x))
Eq(F_15(x), F_16(x)*F_20(x))
Eq(F_16(x), F_0(x) + F_17(x))
Eq(F_17(x), F_18(x))
Eq(F_18(x), F_14(x)*F_19(x))
Eq(F_19(x), x)
Eq(F_20(x), F_1(x) + F_21(x))
Eq(F_21(x), F_22(x))
Eq(F_22(x), F_19(x)*F_20(x))
Eq(F_23(x), F_24(x))
Eq(F_24(x), F_19(x)*F_20(x)*F_25(x))
Eq(F_25(x), F_26(x)/F_19(x))
Eq(F_26(x), F_27(x))
Eq(F_27(x), F_28(x) - F_34(x))
Eq(F_28(x), F_29(x)/F_19(x))
Eq(F_29(x), F_30(x))
Eq(F_30(x), -F_2(x) + F_31(x))
Eq(F_31(x), -F_0(x) + F_32(x))
Eq(F_32(x), F_33(x)/F_19(x))
Eq(F_33(x), F_2(x))
Eq(F_34(x), F_35(x) + F_36(x))
Eq(F_35(x), F_2(x)*F_32(x))
Eq(F_36(x), F_37(x))
Eq(F_37(x), F_19(x)*F_38(x)*F_40(x))
Eq(F_38(x), F_39(x)/F_19(x))
Eq(F_39(x), F_27(x))
Eq(F_40(x), F_2(x) + F_41(x))
Eq(F_41(x), F_42(x))
Eq(F_42(x), F_19(x)*F_43(x))
Eq(F_43(x), F_44(x) + F_45(x))
Eq(F_44(x), F_0(x) + F_41(x))
Eq(F_45(x), F_46(x) + F_47(x))
Eq(F_46(x), F_2(x)*F_20(x))
Eq(F_47(x), F_48(x))
Eq(F_48(x), F_19(x)*F_49(x))
Eq(F_49(x), F_140(x) + F_50(x))
Eq(F_50(x), F_2(x)*F_51(x))
Eq(F_51(x), F_43(x) + F_52(x))
Eq(F_52(x), F_53(x))
Eq(F_53(x), F_19(x)*F_54(x))
Eq(F_54(x), F_51(x) + F_55(x))
Eq(F_55(x), F_56(x))
Eq(F_56(x), F_19(x)*F_57(x)*F_71(x))
Eq(F_57(x), F_58(x) + F_59(x))
Eq(F_58(x), F_1(x) + F_59(x))
Eq(F_59(x), F_60(x))
Eq(F_60(x), F_19(x)*F_61(x))
Eq(F_61(x), F_20(x) + F_62(x))
Eq(F_62(x), F_63(x) + F_66(x))
Eq(F_63(x), F_64(x))
Eq(F_64(x), F_19(x)*F_65(x))
Eq(F_65(x), F_1(x) + F_63(x))
Eq(F_66(x), F_67(x) + F_68(x) + F_70(x))
Eq(F_67(x), 0)
Eq(F_68(x), F_19(x)*F_69(x))
Eq(F_69(x), F_21(x) + F_66(x))
Eq(F_70(x), F_19(x)*F_62(x))
Eq(F_71(x), F_138(x) + F_72(x))
Eq(F_72(x), -F_126(x) + F_73(x))
Eq(F_73(x), F_74(x)/(F_19(x)*F_65(x)))
Eq(F_74(x), F_75(x))
Eq(F_75(x), -F_108(x) + F_76(x))
Eq(F_76(x), F_77(x)/F_19(x))
Eq(F_77(x), F_78(x))
Eq(F_78(x), F_104(x) + F_79(x))
Eq(F_79(x), F_80(x))
Eq(F_80(x), F_19(x)*F_81(x))
Eq(F_81(x), F_82(x) + F_83(x))
Eq(F_82(x), F_1(x) + F_79(x))
Eq(F_83(x), F_84(x) + F_89(x))
Eq(F_84(x), F_85(x))
Eq(F_85(x), F_19(x)*F_86(x))
Eq(F_86(x), F_87(x) + F_88(x))
Eq(F_87(x), F_1(x) + F_84(x))
Eq(F_88(x), F_21(x))
Eq(F_89(x), F_102(x) + F_67(x) + F_90(x))
Eq(F_90(x), F_19(x)*F_91(x))
Eq(F_91(x), F_92(x) + F_96(x))
Eq(F_92(x), F_21(x) + F_93(x))
Eq(F_93(x), F_67(x) + F_90(x) + F_94(x))
Eq(F_94(x), F_19(x)*F_95(x))
Eq(F_95(x), F_84(x) + F_93(x))
Eq(F_96(x), F_97(x))
Eq(F_97(x), F_100(x) + F_67(x) + F_98(x))
Eq(F_98(x), F_19(x)*F_99(x))
Eq(F_99(x), F_21(x) + F_97(x))
Eq(F_100(x), F_101(x)*F_19(x))
Eq(F_101(x), F_21(x) + F_97(x))
Eq(F_102(x), F_103(x)*F_19(x))
Eq(F_103(x), F_83(x))
Eq(F_104(x), F_105(x) - F_2(x))
Eq(F_105(x), F_106(x) - F_82(x))
Eq(F_106(x), F_107(x)/F_19(x))
Eq(F_107(x), F_2(x))
Eq(F_108(x), F_106(x) + F_109(x))
Eq(F_109(x), F_110(x) - F_124(x))
Eq(F_110(x), F_111(x))
Eq(F_111(x), F_112(x)*F_19(x))
Eq(F_112(x), F_113(x) + F_122(x))
Eq(F_113(x), F_114(x)/F_19(x))
Eq(F_114(x), F_115(x))
Eq(F_115(x), F_116(x) - F_118(x))
Eq(F_116(x), F_117(x)/F_19(x))
Eq(F_117(x), F_104(x))
Eq(F_118(x), F_119(x) - F_121(x))
Eq(F_119(x), F_120(x)/F_19(x))
Eq(F_120(x), F_105(x))
Eq(F_121(x), F_106(x) + F_45(x))
Eq(F_122(x), F_123(x))
Eq(F_123(x), F_19(x)*F_58(x)*F_65(x)*F_73(x))
Eq(F_124(x), F_125(x))
Eq(F_125(x), F_19(x)*F_75(x))
Eq(F_126(x), F_127(x))
Eq(F_127(x), F_128(x)*F_19(x)*F_72(x))
Eq(F_128(x), F_129(x) + F_130(x))
Eq(F_129(x), F_101(x) + F_20(x))
Eq(F_130(x), F_131(x) + F_62(x))
Eq(F_131(x), F_132(x) + F_66(x))
Eq(F_132(x), F_133(x) + F_135(x) + F_137(x) + F_67(x))
Eq(F_133(x), F_134(x)*F_19(x))
Eq(F_134(x), F_132(x) + F_97(x))
Eq(F_135(x), F_136(x)*F_19(x))
Eq(F_136(x), F_132(x) + F_66(x))
Eq(F_137(x), F_131(x)*F_19(x))
Eq(F_138(x), F_139(x))
Eq(F_139(x), F_128(x)*F_19(x)*F_72(x))
Eq(F_140(x), F_141(x))
Eq(F_141(x), F_142(x)*F_19(x))
Eq(F_142(x), F_143(x) + F_144(x))
Eq(F_143(x), F_14(x)*F_72(x))
Eq(F_144(x), F_138(x)*F_145(x))
Eq(F_145(x), F_146(x)/F_19(x))
Eq(F_146(x), F_147(x))
Eq(F_147(x), F_148(x) - F_193(x))
Eq(F_148(x), F_149(x) - F_192(x))
Eq(F_149(x), F_150(x) - F_153(x))
Eq(F_150(x), F_151(x) + F_152(x))
Eq(F_151(x), F_0(x)*F_32(x))
Eq(F_152(x), F_27(x) + F_36(x))
Eq(F_153(x), F_154(x))
Eq(F_154(x), F_155(x)*F_19(x))
Eq(F_155(x), F_156(x) + F_177(x))
Eq(F_156(x), F_157(x) + F_167(x))
Eq(F_157(x), F_150(x) + F_158(x))
Eq(F_158(x), F_159(x))
Eq(F_159(x), F_0(x)*F_160(x)*F_57(x))
Eq(F_160(x), F_161(x))
Eq(F_161(x), F_162(x)*F_19(x))
Eq(F_162(x), F_163(x) + F_20(x))
Eq(F_163(x), F_164(x) + F_19(x))
Eq(F_164(x), F_165(x) + F_166(x) + F_67(x))
Eq(F_165(x), F_19(x)*F_21(x))
Eq(F_166(x), F_163(x)*F_19(x))
Eq(F_167(x), -F_158(x) + F_168(x))
Eq(F_168(x), F_169(x)/F_19(x))
Eq(F_169(x), F_170(x))
Eq(F_170(x), F_171(x) - F_176(x))
Eq(F_171(x), F_172(x) - F_174(x))
Eq(F_172(x), F_173(x)/F_19(x))
Eq(F_173(x), F_30(x))
Eq(F_174(x), F_175(x))
Eq(F_175(x), F_19(x)*F_38(x))
Eq(F_176(x), F_2(x) + F_30(x))
Eq(F_177(x), F_178(x) + F_183(x))
Eq(F_178(x), F_179(x)*F_181(x))
Eq(F_179(x), F_174(x) + F_180(x))
Eq(F_180(x), F_171(x) + F_32(x))
Eq(F_181(x), F_182(x))
Eq(F_182(x), F_19(x)*F_44(x)*F_57(x))
Eq(F_183(x), F_184(x))
Eq(F_184(x), F_185(x)*F_19(x)*F_44(x))
Eq(F_185(x), F_186(x) + F_191(x))
Eq(F_186(x), F_187(x) - F_190(x))
Eq(F_187(x), F_188(x)/F_19(x))
Eq(F_188(x), F_189(x))
Eq(F_189(x), -F_147(x) + F_27(x))
Eq(F_190(x), F_179(x)*F_59(x))
Eq(F_191(x), F_186(x))
Eq(F_192(x), F_0(x)**2)
Eq(F_193(x), F_194(x))
Eq(F_194(x), F_145(x)*F_19(x)*F_40(x))
Eq(F_195(x), F_196(x)/(F_19(x)*F_269(x)))
Eq(F_196(x), F_197(x))
Eq(F_197(x), F_198(x) - F_265(x))
Eq(F_198(x), F_199(x)/F_19(x))
Eq(F_199(x), F_200(x))
Eq(F_200(x), F_19(x)*F_201(x))
Eq(F_201(x), F_202(x) + F_223(x))
Eq(F_202(x), F_203(x)*F_41(x))
Eq(F_203(x), F_204(x) + F_206(x))
Eq(F_204(x), F_20(x) + F_205(x))
Eq(F_205(x), F_160(x))
Eq(F_206(x), F_207(x) + F_62(x))
Eq(F_207(x), F_208(x))
Eq(F_208(x), F_209(x) + F_211(x) + F_67(x))
Eq(F_209(x), F_19(x)*F_210(x))
Eq(F_210(x), F_160(x) + F_208(x))
Eq(F_211(x), F_19(x)*F_212(x))
Eq(F_212(x), F_213(x) + F_62(x))
Eq(F_213(x), F_214(x) + F_218(x))
Eq(F_214(x), F_215(x) + F_217(x) + F_67(x))
Eq(F_215(x), F_19(x)*F_216(x))
Eq(F_216(x), F_19(x) + F_214(x))
Eq(F_217(x), F_19(x)*F_63(x))
Eq(F_218(x), F_219(x) + F_221(x) + F_222(x) + F_67(x))
Eq(F_219(x), F_19(x)*F_220(x))
Eq(F_220(x), F_164(x) + F_218(x))
Eq(F_221(x), F_19(x)*F_66(x))
Eq(F_222(x), F_19(x)*F_213(x))
Eq(F_223(x), F_224(x)*F_44(x))
Eq(F_224(x), F_225(x) + F_242(x))
Eq(F_225(x), F_101(x) + F_226(x))
Eq(F_226(x), F_227(x))
Eq(F_227(x), F_228(x) + F_230(x) + F_67(x))
Eq(F_228(x), F_19(x)*F_229(x))
Eq(F_229(x), F_160(x) + F_227(x))
Eq(F_230(x), F_19(x)*F_231(x))
Eq(F_231(x), F_101(x) + F_232(x))
Eq(F_232(x), F_233(x) + F_237(x))
Eq(F_233(x), F_234(x) + F_236(x) + F_67(x))
Eq(F_234(x), F_19(x)*F_235(x))
Eq(F_235(x), F_19(x) + F_233(x))
Eq(F_236(x), F_19(x)*F_21(x))
Eq(F_237(x), F_238(x) + F_240(x) + F_241(x) + F_67(x))
Eq(F_238(x), F_19(x)*F_239(x))
Eq(F_239(x), F_164(x) + F_237(x))
Eq(F_240(x), F_19(x)*F_97(x))
Eq(F_241(x), F_19(x)*F_232(x))
Eq(F_242(x), F_131(x) + F_243(x))
Eq(F_243(x), F_244(x))
Eq(F_244(x), F_245(x) + F_247(x) + F_249(x) + F_67(x))
Eq(F_245(x), F_19(x)*F_246(x))
Eq(F_246(x), F_227(x) + F_244(x))
Eq(F_247(x), F_19(x)*F_248(x))
Eq(F_248(x), F_208(x) + F_244(x))
Eq(F_249(x), F_19(x)*F_250(x))
Eq(F_250(x), F_131(x) + F_251(x))
Eq(F_251(x), F_252(x) + F_258(x))
Eq(F_252(x), F_253(x) + F_255(x) + F_257(x) + F_67(x))
Eq(F_253(x), F_19(x)*F_254(x))
Eq(F_254(x), F_233(x) + F_252(x))
Eq(F_255(x), F_19(x)*F_256(x))
Eq(F_256(x), F_214(x) + F_252(x))
Eq(F_257(x), F_19(x)*F_66(x))
Eq(F_258(x), F_259(x) + F_261(x) + F_263(x) + F_264(x) + F_67(x))
Eq(F_259(x), F_19(x)*F_260(x))
Eq(F_260(x), F_237(x) + F_258(x))
Eq(F_261(x), F_19(x)*F_262(x))
Eq(F_262(x), F_218(x) + F_258(x))
Eq(F_263(x), F_132(x)*F_19(x))
Eq(F_264(x), F_19(x)*F_251(x))
Eq(F_265(x), F_266(x))
Eq(F_266(x), F_19(x)*F_267(x)*F_65(x))
Eq(F_267(x), F_268(x) + F_275(x))
Eq(F_268(x), F_269(x)*F_272(x))
Eq(F_269(x), F_270(x) + F_271(x))
Eq(F_270(x), F_204(x) + F_225(x))
Eq(F_271(x), F_206(x) + F_242(x))
Eq(F_272(x), F_0(x) + F_273(x))
Eq(F_273(x), F_274(x))
Eq(F_274(x), F_0(x)*F_19(x)*F_61(x))
Eq(F_275(x), F_128(x)*F_276(x))
Eq(F_276(x), F_277(x))
Eq(F_277(x), F_0(x)*F_19(x)*F_203(x))
Eq(F_278(x), F_145(x)*F_279(x))
Eq(F_279(x), F_280(x))
Eq(F_280(x), F_19(x)*F_195(x)*F_61(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, 1, 4, 3], [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, 1, 4, 3], [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, 1, 4, 3], [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, 1, 4, 3], [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, 1, 4, 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], [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, 1, 4, 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], [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": [[1, 2]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 2]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 1, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1, 4, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 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, 2], [0, 2], [0, 2], [0, 2], [0, 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, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 1, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1, 4, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"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, 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]]}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.factor", "strategy_class": "FactorStrategy", "ignore_parent": true, "workable": true, "partition": [[[0, 0], [0, 2]], [[1, 1]]]}}, "idx": 0}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 0], [1, 0], [1, 2], [1, 2]]}, {"patt": [0, 3, 1, 2], "pos": [[1, 0], [1, 2], [1, 0], [1, 2]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 2], [1, 2], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [1, 3, 0, 2], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [1, 3, 2, 0], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [3, 1, 0, 2], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [3, 1, 2, 0], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [3, 2, 1, 0], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 2], [1, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 1, 4, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 1, 4, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 2], [1, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 1], [0, 0], [0, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 1], [0, 1], [0, 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1]]}, {"patt": [2, 0, 1], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [2, 1, 0], "pos": [[0, 1], [0, 1], [0, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [1, 0], "pos": [[0, 0], [0, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 1], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [2, 1, 0], "pos": [[0, 1], [0, 1], [0, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 1], [0, 2]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 2], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 2], [0, 2]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 1], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [2, 1, 0], "pos": [[0, 1], [0, 1], [0, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 1]]}], [{"patt": [0], "pos": [[0, 2]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementInsertionStrategy", "ignore_parent": true, "gps": [{"patt": [0], "pos": [[0, 2]]}]}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalenceRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [0, 1], "pos": [[0, 2], [0, 3]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 3], [0, 2]]}, {"patt": [1, 0], "pos": [[0, 3], [0, 3]]}, {"patt": [0, 2, 1], "pos": [[0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 1], "pos": [[0, 2], [0, 2], [0, 2]]}, {"patt": [2, 1, 0], "pos": [[0, 2], [0, 2], [0, 2]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 1]]}], [{"patt": [0], "pos": [[0, 2]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 1], "pos": [[0, 2], [0, 2], [0, 2]]}, {"patt": [2, 1, 0], "pos": [[0, 2], [0, 2], [0, 2]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 1]]}], [{"patt": [0], "pos": [[0, 2]]}]], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [0, 1], "pos": [[0, 2], [0, 3]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 3], [0, 2]]}, {"patt": [1, 0], "pos": [[0, 3], [0, 3]]}, {"patt": [0, 2, 1], "pos": [[0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 1], "pos": [[0, 2], [0, 2], [0, 2]]}, {"patt": [2, 1, 0], "pos": [[0, 2], [0, 2], [0, 2]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 1]]}], [{"patt": [0], "pos": [[0, 2]]}], [{"patt": [0], "pos": [[0, 3]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementInsertionStrategy", "ignore_parent": true, "gps": [{"patt": [0], "pos": [[0, 3]]}]}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalenceRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1], "pos": [[0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[1, 2], [1, 2]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}], "indices": [0], "direction": 2, "own_col": true, "own_row": true, "include_empty": true}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}]}
Specification 4
Strategy pack name: point_placements_req_corrob
Tree: http://www.permpal.com/tree/25888/
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[19,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[19,x]*F[8,x]
F[8,x] = F[10,x]+F[9,x]
F[9,x] = F[2,x]*F[4,x]
F[10,x] = F[11,x]
F[11,x] = F[12,x]*F[19,x]
F[12,x] = F[13,x]+F[278,x]
F[13,x] = F[14,x]*F[195,x]
F[14,x] = F[15,x]+F[23,x]
F[15,x] = F[16,x]*F[20,x]
F[16,x] = F[0,x]+F[17,x]
F[17,x] = F[18,x]
F[18,x] = F[14,x]*F[19,x]
F[19,x] = x
F[20,x] = F[1,x]+F[21,x]
F[21,x] = F[22,x]
F[22,x] = F[19,x]*F[20,x]
F[23,x] = F[24,x]
F[24,x] = F[19,x]*F[20,x]*F[25,x]
F[25,x] = 1/F[19,x]*F[26,x]
F[26,x] = F[27,x]
F[27,x] = -F[34,x]+F[28,x]
F[28,x] = 1/F[19,x]*F[29,x]
F[29,x] = F[30,x]
F[30,x] = -F[2,x]+F[31,x]
F[31,x] = -F[0,x]+F[32,x]
F[32,x] = 1/F[19,x]*F[33,x]
F[33,x] = F[2,x]
F[34,x] = F[35,x]+F[36,x]
F[35,x] = F[2,x]*F[32,x]
F[36,x] = F[37,x]
F[37,x] = F[19,x]*F[38,x]*F[40,x]
F[38,x] = 1/F[19,x]*F[39,x]
F[39,x] = F[27,x]
F[40,x] = F[2,x]+F[41,x]
F[41,x] = F[42,x]
F[42,x] = F[19,x]*F[43,x]
F[43,x] = F[44,x]+F[45,x]
F[44,x] = F[0,x]+F[41,x]
F[45,x] = F[46,x]+F[47,x]
F[46,x] = F[2,x]*F[20,x]
F[47,x] = F[48,x]
F[48,x] = F[19,x]*F[49,x]
F[49,x] = F[140,x]+F[50,x]
F[50,x] = F[2,x]*F[51,x]
F[51,x] = F[43,x]+F[52,x]
F[52,x] = F[53,x]
F[53,x] = F[19,x]*F[54,x]
F[54,x] = F[51,x]+F[55,x]
F[55,x] = F[56,x]
F[56,x] = F[19,x]*F[57,x]*F[71,x]
F[57,x] = F[58,x]+F[59,x]
F[58,x] = F[1,x]+F[59,x]
F[59,x] = F[60,x]
F[60,x] = F[19,x]*F[61,x]
F[61,x] = F[20,x]+F[62,x]
F[62,x] = F[63,x]+F[66,x]
F[63,x] = F[64,x]
F[64,x] = F[19,x]*F[65,x]
F[65,x] = F[1,x]+F[63,x]
F[66,x] = F[67,x]+F[68,x]+F[70,x]
F[67,x] = 0
F[68,x] = F[19,x]*F[69,x]
F[69,x] = F[21,x]+F[66,x]
F[70,x] = F[19,x]*F[62,x]
F[71,x] = F[138,x]+F[72,x]
F[72,x] = -F[126,x]+F[73,x]
F[73,x] = 1/F[19,x]/F[65,x]*F[74,x]
F[74,x] = F[75,x]
F[75,x] = -F[108,x]+F[76,x]
F[76,x] = 1/F[19,x]*F[77,x]
F[77,x] = F[78,x]
F[78,x] = F[104,x]+F[79,x]
F[79,x] = F[80,x]
F[80,x] = F[19,x]*F[81,x]
F[81,x] = F[82,x]+F[83,x]
F[82,x] = F[1,x]+F[79,x]
F[83,x] = F[84,x]+F[89,x]
F[84,x] = F[85,x]
F[85,x] = F[19,x]*F[86,x]
F[86,x] = F[87,x]+F[88,x]
F[87,x] = F[1,x]+F[84,x]
F[88,x] = F[21,x]
F[89,x] = F[102,x]+F[67,x]+F[90,x]
F[90,x] = F[19,x]*F[91,x]
F[91,x] = F[92,x]+F[96,x]
F[92,x] = F[21,x]+F[93,x]
F[93,x] = F[67,x]+F[90,x]+F[94,x]
F[94,x] = F[19,x]*F[95,x]
F[95,x] = F[84,x]+F[93,x]
F[96,x] = F[97,x]
F[97,x] = F[100,x]+F[67,x]+F[98,x]
F[98,x] = F[19,x]*F[99,x]
F[99,x] = F[21,x]+F[97,x]
F[100,x] = F[101,x]*F[19,x]
F[101,x] = F[21,x]+F[97,x]
F[102,x] = F[103,x]*F[19,x]
F[103,x] = F[83,x]
F[104,x] = -F[2,x]+F[105,x]
F[105,x] = -F[82,x]+F[106,x]
F[106,x] = 1/F[19,x]*F[107,x]
F[107,x] = F[2,x]
F[108,x] = F[106,x]+F[109,x]
F[109,x] = -F[124,x]+F[110,x]
F[110,x] = F[111,x]
F[111,x] = F[112,x]*F[19,x]
F[112,x] = F[113,x]+F[122,x]
F[113,x] = 1/F[19,x]*F[114,x]
F[114,x] = F[115,x]
F[115,x] = -F[118,x]+F[116,x]
F[116,x] = 1/F[19,x]*F[117,x]
F[117,x] = F[104,x]
F[118,x] = -F[121,x]+F[119,x]
F[119,x] = 1/F[19,x]*F[120,x]
F[120,x] = F[105,x]
F[121,x] = F[106,x]+F[45,x]
F[122,x] = F[123,x]
F[123,x] = F[19,x]*F[58,x]*F[65,x]*F[73,x]
F[124,x] = F[125,x]
F[125,x] = F[19,x]*F[75,x]
F[126,x] = F[127,x]
F[127,x] = F[128,x]*F[19,x]*F[72,x]
F[128,x] = F[129,x]+F[130,x]
F[129,x] = F[101,x]+F[20,x]
F[130,x] = F[131,x]+F[62,x]
F[131,x] = F[132,x]+F[66,x]
F[132,x] = F[133,x]+F[135,x]+F[137,x]+F[67,x]
F[133,x] = F[134,x]*F[19,x]
F[134,x] = F[132,x]+F[97,x]
F[135,x] = F[136,x]*F[19,x]
F[136,x] = F[132,x]+F[66,x]
F[137,x] = F[131,x]*F[19,x]
F[138,x] = F[139,x]
F[139,x] = F[128,x]*F[19,x]*F[72,x]
F[140,x] = F[141,x]
F[141,x] = F[142,x]*F[19,x]
F[142,x] = F[143,x]+F[144,x]
F[143,x] = F[14,x]*F[72,x]
F[144,x] = F[138,x]*F[145,x]
F[145,x] = 1/F[19,x]*F[146,x]
F[146,x] = F[147,x]
F[147,x] = -F[193,x]+F[148,x]
F[148,x] = -F[192,x]+F[149,x]
F[149,x] = -F[153,x]+F[150,x]
F[150,x] = F[151,x]+F[152,x]
F[151,x] = F[0,x]*F[32,x]
F[152,x] = F[27,x]+F[36,x]
F[153,x] = F[154,x]
F[154,x] = F[155,x]*F[19,x]
F[155,x] = F[156,x]+F[177,x]
F[156,x] = F[157,x]+F[167,x]
F[157,x] = F[150,x]+F[158,x]
F[158,x] = F[159,x]
F[159,x] = F[0,x]*F[160,x]*F[57,x]
F[160,x] = F[161,x]
F[161,x] = F[162,x]*F[19,x]
F[162,x] = F[163,x]+F[20,x]
F[163,x] = F[164,x]+F[19,x]
F[164,x] = F[165,x]+F[166,x]+F[67,x]
F[165,x] = F[19,x]*F[21,x]
F[166,x] = F[163,x]*F[19,x]
F[167,x] = -F[158,x]+F[168,x]
F[168,x] = 1/F[19,x]*F[169,x]
F[169,x] = F[170,x]
F[170,x] = -F[176,x]+F[171,x]
F[171,x] = -F[174,x]+F[172,x]
F[172,x] = 1/F[19,x]*F[173,x]
F[173,x] = F[30,x]
F[174,x] = F[175,x]
F[175,x] = F[19,x]*F[38,x]
F[176,x] = F[2,x]+F[30,x]
F[177,x] = F[178,x]+F[183,x]
F[178,x] = F[179,x]*F[181,x]
F[179,x] = F[174,x]+F[180,x]
F[180,x] = F[171,x]+F[32,x]
F[181,x] = F[182,x]
F[182,x] = F[19,x]*F[44,x]*F[57,x]
F[183,x] = F[184,x]
F[184,x] = F[185,x]*F[19,x]*F[44,x]
F[185,x] = F[186,x]+F[191,x]
F[186,x] = -F[190,x]+F[187,x]
F[187,x] = 1/F[19,x]*F[188,x]
F[188,x] = F[189,x]
F[189,x] = -F[147,x]+F[27,x]
F[190,x] = F[179,x]*F[59,x]
F[191,x] = F[186,x]
F[192,x] = F[0,x]^2
F[193,x] = F[194,x]
F[194,x] = F[145,x]*F[19,x]*F[40,x]
F[195,x] = 1/F[19,x]/F[269,x]*F[196,x]
F[196,x] = F[197,x]
F[197,x] = -F[265,x]+F[198,x]
F[198,x] = 1/F[19,x]*F[199,x]
F[199,x] = F[200,x]
F[200,x] = F[19,x]*F[201,x]
F[201,x] = F[202,x]+F[223,x]
F[202,x] = F[203,x]*F[41,x]
F[203,x] = F[204,x]+F[206,x]
F[204,x] = F[20,x]+F[205,x]
F[205,x] = F[160,x]
F[206,x] = F[207,x]+F[62,x]
F[207,x] = F[208,x]
F[208,x] = F[209,x]+F[211,x]+F[67,x]
F[209,x] = F[19,x]*F[210,x]
F[210,x] = F[160,x]+F[208,x]
F[211,x] = F[19,x]*F[212,x]
F[212,x] = F[213,x]+F[62,x]
F[213,x] = F[214,x]+F[218,x]
F[214,x] = F[215,x]+F[217,x]+F[67,x]
F[215,x] = F[19,x]*F[216,x]
F[216,x] = F[19,x]+F[214,x]
F[217,x] = F[19,x]*F[63,x]
F[218,x] = F[219,x]+F[221,x]+F[222,x]+F[67,x]
F[219,x] = F[19,x]*F[220,x]
F[220,x] = F[164,x]+F[218,x]
F[221,x] = F[19,x]*F[66,x]
F[222,x] = F[19,x]*F[213,x]
F[223,x] = F[224,x]*F[44,x]
F[224,x] = F[225,x]+F[242,x]
F[225,x] = F[101,x]+F[226,x]
F[226,x] = F[227,x]
F[227,x] = F[228,x]+F[230,x]+F[67,x]
F[228,x] = F[19,x]*F[229,x]
F[229,x] = F[160,x]+F[227,x]
F[230,x] = F[19,x]*F[231,x]
F[231,x] = F[101,x]+F[232,x]
F[232,x] = F[233,x]+F[237,x]
F[233,x] = F[234,x]+F[236,x]+F[67,x]
F[234,x] = F[19,x]*F[235,x]
F[235,x] = F[19,x]+F[233,x]
F[236,x] = F[19,x]*F[21,x]
F[237,x] = F[238,x]+F[240,x]+F[241,x]+F[67,x]
F[238,x] = F[19,x]*F[239,x]
F[239,x] = F[164,x]+F[237,x]
F[240,x] = F[19,x]*F[97,x]
F[241,x] = F[19,x]*F[232,x]
F[242,x] = F[131,x]+F[243,x]
F[243,x] = F[244,x]
F[244,x] = F[245,x]+F[247,x]+F[249,x]+F[67,x]
F[245,x] = F[19,x]*F[246,x]
F[246,x] = F[227,x]+F[244,x]
F[247,x] = F[19,x]*F[248,x]
F[248,x] = F[208,x]+F[244,x]
F[249,x] = F[19,x]*F[250,x]
F[250,x] = F[131,x]+F[251,x]
F[251,x] = F[252,x]+F[258,x]
F[252,x] = F[253,x]+F[255,x]+F[257,x]+F[67,x]
F[253,x] = F[19,x]*F[254,x]
F[254,x] = F[233,x]+F[252,x]
F[255,x] = F[19,x]*F[256,x]
F[256,x] = F[214,x]+F[252,x]
F[257,x] = F[19,x]*F[66,x]
F[258,x] = F[259,x]+F[261,x]+F[263,x]+F[264,x]+F[67,x]
F[259,x] = F[19,x]*F[260,x]
F[260,x] = F[237,x]+F[258,x]
F[261,x] = F[19,x]*F[262,x]
F[262,x] = F[218,x]+F[258,x]
F[263,x] = F[132,x]*F[19,x]
F[264,x] = F[19,x]*F[251,x]
F[265,x] = F[266,x]
F[266,x] = F[19,x]*F[267,x]*F[65,x]
F[267,x] = F[268,x]+F[275,x]
F[268,x] = F[269,x]*F[272,x]
F[269,x] = F[270,x]+F[271,x]
F[270,x] = F[204,x]+F[225,x]
F[271,x] = F[206,x]+F[242,x]
F[272,x] = F[0,x]+F[273,x]
F[273,x] = F[274,x]
F[274,x] = F[0,x]*F[19,x]*F[61,x]
F[275,x] = F[128,x]*F[276,x]
F[276,x] = F[277,x]
F[277,x] = F[0,x]*F[19,x]*F[203,x]
F[278,x] = F[145,x]*F[279,x]
F[279,x] = F[280,x]
F[280,x] = F[19,x]*F[195,x]*F[61,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_{19}\! \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_{19}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{10}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{2}\! \left(x \right) F_{4}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right) F_{19}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)+F_{278}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right) F_{195}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right)+F_{23}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right) F_{20}\! \left(x \right)
F_{16}\! \left(x \right) = F_{0}\! \left(x \right)+F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = F_{14}\! \left(x \right) F_{19}\! \left(x \right)
F_{19}\! \left(x \right) = x
F_{20}\! \left(x \right) = F_{1}\! \left(x \right)+F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{19}\! \left(x \right) F_{20}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{19}\! \left(x \right) F_{20}\! \left(x \right) F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = \frac{F_{26}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = -F_{34}\! \left(x \right)+F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = \frac{F_{29}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = \frac{F_{33}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{33}\! \left(x \right) = F_{2}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)+F_{36}\! \left(x \right)
F_{35}\! \left(x \right) = F_{2}\! \left(x \right) F_{32}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{19}\! \left(x \right) F_{38}\! \left(x \right) F_{40}\! \left(x \right)
F_{38}\! \left(x \right) = \frac{F_{39}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{39}\! \left(x \right) = F_{27}\! \left(x \right)
F_{40}\! \left(x \right) = F_{2}\! \left(x \right)+F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{19}\! \left(x \right) F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{44}\! \left(x \right)+F_{45}\! \left(x \right)
F_{44}\! \left(x \right) = F_{0}\! \left(x \right)+F_{41}\! \left(x \right)
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)+F_{47}\! \left(x \right)
F_{46}\! \left(x \right) = F_{2}\! \left(x \right) F_{20}\! \left(x \right)
F_{47}\! \left(x \right) = F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{19}\! \left(x \right) F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{140}\! \left(x \right)+F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{2}\! \left(x \right) F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{43}\! \left(x \right)+F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{19}\! \left(x \right) F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{51}\! \left(x \right)+F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{19}\! \left(x \right) F_{57}\! \left(x \right) F_{71}\! \left(x \right)
F_{57}\! \left(x \right) = F_{58}\! \left(x \right)+F_{59}\! \left(x \right)
F_{58}\! \left(x \right) = F_{1}\! \left(x \right)+F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{19}\! \left(x \right) F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{20}\! \left(x \right)+F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)+F_{66}\! \left(x \right)
F_{63}\! \left(x \right) = F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{19}\! \left(x \right) F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{1}\! \left(x \right)+F_{63}\! \left(x \right)
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)+F_{68}\! \left(x \right)+F_{70}\! \left(x \right)
F_{67}\! \left(x \right) = 0
F_{68}\! \left(x \right) = F_{19}\! \left(x \right) F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{21}\! \left(x \right)+F_{66}\! \left(x \right)
F_{70}\! \left(x \right) = F_{19}\! \left(x \right) F_{62}\! \left(x \right)
F_{71}\! \left(x \right) = F_{138}\! \left(x \right)+F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = -F_{126}\! \left(x \right)+F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = \frac{F_{74}\! \left(x \right)}{F_{19}\! \left(x \right) F_{65}\! \left(x \right)}
F_{74}\! \left(x \right) = F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = -F_{108}\! \left(x \right)+F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = \frac{F_{77}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{77}\! \left(x \right) = F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{104}\! \left(x \right)+F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{19}\! \left(x \right) F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{82}\! \left(x \right)+F_{83}\! \left(x \right)
F_{82}\! \left(x \right) = F_{1}\! \left(x \right)+F_{79}\! \left(x \right)
F_{83}\! \left(x \right) = F_{84}\! \left(x \right)+F_{89}\! \left(x \right)
F_{84}\! \left(x \right) = F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{19}\! \left(x \right) F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{87}\! \left(x \right)+F_{88}\! \left(x \right)
F_{87}\! \left(x \right) = F_{1}\! \left(x \right)+F_{84}\! \left(x \right)
F_{88}\! \left(x \right) = F_{21}\! \left(x \right)
F_{89}\! \left(x \right) = F_{102}\! \left(x \right)+F_{67}\! \left(x \right)+F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{19}\! \left(x \right) F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = F_{92}\! \left(x \right)+F_{96}\! \left(x \right)
F_{92}\! \left(x \right) = F_{21}\! \left(x \right)+F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{67}\! \left(x \right)+F_{90}\! \left(x \right)+F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{19}\! \left(x \right) F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{84}\! \left(x \right)+F_{93}\! \left(x \right)
F_{96}\! \left(x \right) = F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{100}\! \left(x \right)+F_{67}\! \left(x \right)+F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{19}\! \left(x \right) F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{21}\! \left(x \right)+F_{97}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right) F_{19}\! \left(x \right)
F_{101}\! \left(x \right) = F_{21}\! \left(x \right)+F_{97}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right) F_{19}\! \left(x \right)
F_{103}\! \left(x \right) = F_{83}\! \left(x \right)
F_{104}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{105}\! \left(x \right)
F_{105}\! \left(x \right) = -F_{82}\! \left(x \right)+F_{106}\! \left(x \right)
F_{106}\! \left(x \right) = \frac{F_{107}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{107}\! \left(x \right) = F_{2}\! \left(x \right)
F_{108}\! \left(x \right) = F_{106}\! \left(x \right)+F_{109}\! \left(x \right)
F_{109}\! \left(x \right) = -F_{124}\! \left(x \right)+F_{110}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right) F_{19}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)+F_{122}\! \left(x \right)
F_{113}\! \left(x \right) = \frac{F_{114}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{114}\! \left(x \right) = F_{115}\! \left(x \right)
F_{115}\! \left(x \right) = -F_{118}\! \left(x \right)+F_{116}\! \left(x \right)
F_{116}\! \left(x \right) = \frac{F_{117}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{117}\! \left(x \right) = F_{104}\! \left(x \right)
F_{118}\! \left(x \right) = -F_{121}\! \left(x \right)+F_{119}\! \left(x \right)
F_{119}\! \left(x \right) = \frac{F_{120}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{120}\! \left(x \right) = F_{105}\! \left(x \right)
F_{121}\! \left(x \right) = F_{106}\! \left(x \right)+F_{45}\! \left(x \right)
F_{122}\! \left(x \right) = F_{123}\! \left(x \right)
F_{123}\! \left(x \right) = F_{19}\! \left(x \right) F_{58}\! \left(x \right) F_{65}\! \left(x \right) F_{73}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)
F_{125}\! \left(x \right) = F_{19}\! \left(x \right) F_{75}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right) F_{19}\! \left(x \right) F_{72}\! \left(x \right)
F_{128}\! \left(x \right) = F_{129}\! \left(x \right)+F_{130}\! \left(x \right)
F_{129}\! \left(x \right) = F_{101}\! \left(x \right)+F_{20}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right)+F_{62}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right)+F_{66}\! \left(x \right)
F_{132}\! \left(x \right) = F_{133}\! \left(x \right)+F_{135}\! \left(x \right)+F_{137}\! \left(x \right)+F_{67}\! \left(x \right)
F_{133}\! \left(x \right) = F_{134}\! \left(x \right) F_{19}\! \left(x \right)
F_{134}\! \left(x \right) = F_{132}\! \left(x \right)+F_{97}\! \left(x \right)
F_{135}\! \left(x \right) = F_{136}\! \left(x \right) F_{19}\! \left(x \right)
F_{136}\! \left(x \right) = F_{132}\! \left(x \right)+F_{66}\! \left(x \right)
F_{137}\! \left(x \right) = F_{131}\! \left(x \right) F_{19}\! \left(x \right)
F_{138}\! \left(x \right) = F_{139}\! \left(x \right)
F_{139}\! \left(x \right) = F_{128}\! \left(x \right) F_{19}\! \left(x \right) F_{72}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right) F_{19}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right)+F_{144}\! \left(x \right)
F_{143}\! \left(x \right) = F_{14}\! \left(x \right) F_{72}\! \left(x \right)
F_{144}\! \left(x \right) = F_{138}\! \left(x \right) F_{145}\! \left(x \right)
F_{145}\! \left(x \right) = \frac{F_{146}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{146}\! \left(x \right) = F_{147}\! \left(x \right)
F_{147}\! \left(x \right) = -F_{193}\! \left(x \right)+F_{148}\! \left(x \right)
F_{148}\! \left(x \right) = -F_{192}\! \left(x \right)+F_{149}\! \left(x \right)
F_{149}\! \left(x \right) = -F_{153}\! \left(x \right)+F_{150}\! \left(x \right)
F_{150}\! \left(x \right) = F_{151}\! \left(x \right)+F_{152}\! \left(x \right)
F_{151}\! \left(x \right) = F_{0}\! \left(x \right) F_{32}\! \left(x \right)
F_{152}\! \left(x \right) = F_{27}\! \left(x \right)+F_{36}\! \left(x \right)
F_{153}\! \left(x \right) = F_{154}\! \left(x \right)
F_{154}\! \left(x \right) = F_{155}\! \left(x \right) F_{19}\! \left(x \right)
F_{155}\! \left(x \right) = F_{156}\! \left(x \right)+F_{177}\! \left(x \right)
F_{156}\! \left(x \right) = F_{157}\! \left(x \right)+F_{167}\! \left(x \right)
F_{157}\! \left(x \right) = F_{150}\! \left(x \right)+F_{158}\! \left(x \right)
F_{158}\! \left(x \right) = F_{159}\! \left(x \right)
F_{159}\! \left(x \right) = F_{0}\! \left(x \right) F_{160}\! \left(x \right) F_{57}\! \left(x \right)
F_{160}\! \left(x \right) = F_{161}\! \left(x \right)
F_{161}\! \left(x \right) = F_{162}\! \left(x \right) F_{19}\! \left(x \right)
F_{162}\! \left(x \right) = F_{163}\! \left(x \right)+F_{20}\! \left(x \right)
F_{163}\! \left(x \right) = F_{164}\! \left(x \right)+F_{19}\! \left(x \right)
F_{164}\! \left(x \right) = F_{165}\! \left(x \right)+F_{166}\! \left(x \right)+F_{67}\! \left(x \right)
F_{165}\! \left(x \right) = F_{19}\! \left(x \right) F_{21}\! \left(x \right)
F_{166}\! \left(x \right) = F_{163}\! \left(x \right) F_{19}\! \left(x \right)
F_{167}\! \left(x \right) = -F_{158}\! \left(x \right)+F_{168}\! \left(x \right)
F_{168}\! \left(x \right) = \frac{F_{169}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{169}\! \left(x \right) = F_{170}\! \left(x \right)
F_{170}\! \left(x \right) = -F_{176}\! \left(x \right)+F_{171}\! \left(x \right)
F_{171}\! \left(x \right) = -F_{174}\! \left(x \right)+F_{172}\! \left(x \right)
F_{172}\! \left(x \right) = \frac{F_{173}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{173}\! \left(x \right) = F_{30}\! \left(x \right)
F_{174}\! \left(x \right) = F_{175}\! \left(x \right)
F_{175}\! \left(x \right) = F_{19}\! \left(x \right) F_{38}\! \left(x \right)
F_{176}\! \left(x \right) = F_{2}\! \left(x \right)+F_{30}\! \left(x \right)
F_{177}\! \left(x \right) = F_{178}\! \left(x \right)+F_{183}\! \left(x \right)
F_{178}\! \left(x \right) = F_{179}\! \left(x \right) F_{181}\! \left(x \right)
F_{179}\! \left(x \right) = F_{174}\! \left(x \right)+F_{180}\! \left(x \right)
F_{180}\! \left(x \right) = F_{171}\! \left(x \right)+F_{32}\! \left(x \right)
F_{181}\! \left(x \right) = F_{182}\! \left(x \right)
F_{182}\! \left(x \right) = F_{19}\! \left(x \right) F_{44}\! \left(x \right) F_{57}\! \left(x \right)
F_{183}\! \left(x \right) = F_{184}\! \left(x \right)
F_{184}\! \left(x \right) = F_{185}\! \left(x \right) F_{19}\! \left(x \right) F_{44}\! \left(x \right)
F_{185}\! \left(x \right) = F_{186}\! \left(x \right)+F_{191}\! \left(x \right)
F_{186}\! \left(x \right) = -F_{190}\! \left(x \right)+F_{187}\! \left(x \right)
F_{187}\! \left(x \right) = \frac{F_{188}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{188}\! \left(x \right) = F_{189}\! \left(x \right)
F_{189}\! \left(x \right) = -F_{147}\! \left(x \right)+F_{27}\! \left(x \right)
F_{190}\! \left(x \right) = F_{179}\! \left(x \right) F_{59}\! \left(x \right)
F_{191}\! \left(x \right) = F_{186}\! \left(x \right)
F_{192}\! \left(x \right) = F_{0} \left(x \right)^{2}
F_{193}\! \left(x \right) = F_{194}\! \left(x \right)
F_{194}\! \left(x \right) = F_{145}\! \left(x \right) F_{19}\! \left(x \right) F_{40}\! \left(x \right)
F_{195}\! \left(x \right) = \frac{F_{196}\! \left(x \right)}{F_{19}\! \left(x \right) F_{269}\! \left(x \right)}
F_{196}\! \left(x \right) = F_{197}\! \left(x \right)
F_{197}\! \left(x \right) = -F_{265}\! \left(x \right)+F_{198}\! \left(x \right)
F_{198}\! \left(x \right) = \frac{F_{199}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{199}\! \left(x \right) = F_{200}\! \left(x \right)
F_{200}\! \left(x \right) = F_{19}\! \left(x \right) F_{201}\! \left(x \right)
F_{201}\! \left(x \right) = F_{202}\! \left(x \right)+F_{223}\! \left(x \right)
F_{202}\! \left(x \right) = F_{203}\! \left(x \right) F_{41}\! \left(x \right)
F_{203}\! \left(x \right) = F_{204}\! \left(x \right)+F_{206}\! \left(x \right)
F_{204}\! \left(x \right) = F_{20}\! \left(x \right)+F_{205}\! \left(x \right)
F_{205}\! \left(x \right) = F_{160}\! \left(x \right)
F_{206}\! \left(x \right) = F_{207}\! \left(x \right)+F_{62}\! \left(x \right)
F_{207}\! \left(x \right) = F_{208}\! \left(x \right)
F_{208}\! \left(x \right) = F_{209}\! \left(x \right)+F_{211}\! \left(x \right)+F_{67}\! \left(x \right)
F_{209}\! \left(x \right) = F_{19}\! \left(x \right) F_{210}\! \left(x \right)
F_{210}\! \left(x \right) = F_{160}\! \left(x \right)+F_{208}\! \left(x \right)
F_{211}\! \left(x \right) = F_{19}\! \left(x \right) F_{212}\! \left(x \right)
F_{212}\! \left(x \right) = F_{213}\! \left(x \right)+F_{62}\! \left(x \right)
F_{213}\! \left(x \right) = F_{214}\! \left(x \right)+F_{218}\! \left(x \right)
F_{214}\! \left(x \right) = F_{215}\! \left(x \right)+F_{217}\! \left(x \right)+F_{67}\! \left(x \right)
F_{215}\! \left(x \right) = F_{19}\! \left(x \right) F_{216}\! \left(x \right)
F_{216}\! \left(x \right) = F_{19}\! \left(x \right)+F_{214}\! \left(x \right)
F_{217}\! \left(x \right) = F_{19}\! \left(x \right) F_{63}\! \left(x \right)
F_{218}\! \left(x \right) = F_{219}\! \left(x \right)+F_{221}\! \left(x \right)+F_{222}\! \left(x \right)+F_{67}\! \left(x \right)
F_{219}\! \left(x \right) = F_{19}\! \left(x \right) F_{220}\! \left(x \right)
F_{220}\! \left(x \right) = F_{164}\! \left(x \right)+F_{218}\! \left(x \right)
F_{221}\! \left(x \right) = F_{19}\! \left(x \right) F_{66}\! \left(x \right)
F_{222}\! \left(x \right) = F_{19}\! \left(x \right) F_{213}\! \left(x \right)
F_{223}\! \left(x \right) = F_{224}\! \left(x \right) F_{44}\! \left(x \right)
F_{224}\! \left(x \right) = F_{225}\! \left(x \right)+F_{242}\! \left(x \right)
F_{225}\! \left(x \right) = F_{101}\! \left(x \right)+F_{226}\! \left(x \right)
F_{226}\! \left(x \right) = F_{227}\! \left(x \right)
F_{227}\! \left(x \right) = F_{228}\! \left(x \right)+F_{230}\! \left(x \right)+F_{67}\! \left(x \right)
F_{228}\! \left(x \right) = F_{19}\! \left(x \right) F_{229}\! \left(x \right)
F_{229}\! \left(x \right) = F_{160}\! \left(x \right)+F_{227}\! \left(x \right)
F_{230}\! \left(x \right) = F_{19}\! \left(x \right) F_{231}\! \left(x \right)
F_{231}\! \left(x \right) = F_{101}\! \left(x \right)+F_{232}\! \left(x \right)
F_{232}\! \left(x \right) = F_{233}\! \left(x \right)+F_{237}\! \left(x \right)
F_{233}\! \left(x \right) = F_{234}\! \left(x \right)+F_{236}\! \left(x \right)+F_{67}\! \left(x \right)
F_{234}\! \left(x \right) = F_{19}\! \left(x \right) F_{235}\! \left(x \right)
F_{235}\! \left(x \right) = F_{19}\! \left(x \right)+F_{233}\! \left(x \right)
F_{236}\! \left(x \right) = F_{19}\! \left(x \right) F_{21}\! \left(x \right)
F_{237}\! \left(x \right) = F_{238}\! \left(x \right)+F_{240}\! \left(x \right)+F_{241}\! \left(x \right)+F_{67}\! \left(x \right)
F_{238}\! \left(x \right) = F_{19}\! \left(x \right) F_{239}\! \left(x \right)
F_{239}\! \left(x \right) = F_{164}\! \left(x \right)+F_{237}\! \left(x \right)
F_{240}\! \left(x \right) = F_{19}\! \left(x \right) F_{97}\! \left(x \right)
F_{241}\! \left(x \right) = F_{19}\! \left(x \right) F_{232}\! \left(x \right)
F_{242}\! \left(x \right) = F_{131}\! \left(x \right)+F_{243}\! \left(x \right)
F_{243}\! \left(x \right) = F_{244}\! \left(x \right)
F_{244}\! \left(x \right) = F_{245}\! \left(x \right)+F_{247}\! \left(x \right)+F_{249}\! \left(x \right)+F_{67}\! \left(x \right)
F_{245}\! \left(x \right) = F_{19}\! \left(x \right) F_{246}\! \left(x \right)
F_{246}\! \left(x \right) = F_{227}\! \left(x \right)+F_{244}\! \left(x \right)
F_{247}\! \left(x \right) = F_{19}\! \left(x \right) F_{248}\! \left(x \right)
F_{248}\! \left(x \right) = F_{208}\! \left(x \right)+F_{244}\! \left(x \right)
F_{249}\! \left(x \right) = F_{19}\! \left(x \right) F_{250}\! \left(x \right)
F_{250}\! \left(x \right) = F_{131}\! \left(x \right)+F_{251}\! \left(x \right)
F_{251}\! \left(x \right) = F_{252}\! \left(x \right)+F_{258}\! \left(x \right)
F_{252}\! \left(x \right) = F_{253}\! \left(x \right)+F_{255}\! \left(x \right)+F_{257}\! \left(x \right)+F_{67}\! \left(x \right)
F_{253}\! \left(x \right) = F_{19}\! \left(x \right) F_{254}\! \left(x \right)
F_{254}\! \left(x \right) = F_{233}\! \left(x \right)+F_{252}\! \left(x \right)
F_{255}\! \left(x \right) = F_{19}\! \left(x \right) F_{256}\! \left(x \right)
F_{256}\! \left(x \right) = F_{214}\! \left(x \right)+F_{252}\! \left(x \right)
F_{257}\! \left(x \right) = F_{19}\! \left(x \right) F_{66}\! \left(x \right)
F_{258}\! \left(x \right) = F_{259}\! \left(x \right)+F_{261}\! \left(x \right)+F_{263}\! \left(x \right)+F_{264}\! \left(x \right)+F_{67}\! \left(x \right)
F_{259}\! \left(x \right) = F_{19}\! \left(x \right) F_{260}\! \left(x \right)
F_{260}\! \left(x \right) = F_{237}\! \left(x \right)+F_{258}\! \left(x \right)
F_{261}\! \left(x \right) = F_{19}\! \left(x \right) F_{262}\! \left(x \right)
F_{262}\! \left(x \right) = F_{218}\! \left(x \right)+F_{258}\! \left(x \right)
F_{263}\! \left(x \right) = F_{132}\! \left(x \right) F_{19}\! \left(x \right)
F_{264}\! \left(x \right) = F_{19}\! \left(x \right) F_{251}\! \left(x \right)
F_{265}\! \left(x \right) = F_{266}\! \left(x \right)
F_{266}\! \left(x \right) = F_{19}\! \left(x \right) F_{267}\! \left(x \right) F_{65}\! \left(x \right)
F_{267}\! \left(x \right) = F_{268}\! \left(x \right)+F_{275}\! \left(x \right)
F_{268}\! \left(x \right) = F_{269}\! \left(x \right) F_{272}\! \left(x \right)
F_{269}\! \left(x \right) = F_{270}\! \left(x \right)+F_{271}\! \left(x \right)
F_{270}\! \left(x \right) = F_{204}\! \left(x \right)+F_{225}\! \left(x \right)
F_{271}\! \left(x \right) = F_{206}\! \left(x \right)+F_{242}\! \left(x \right)
F_{272}\! \left(x \right) = F_{0}\! \left(x \right)+F_{273}\! \left(x \right)
F_{273}\! \left(x \right) = F_{274}\! \left(x \right)
F_{274}\! \left(x \right) = F_{0}\! \left(x \right) F_{19}\! \left(x \right) F_{61}\! \left(x \right)
F_{275}\! \left(x \right) = F_{128}\! \left(x \right) F_{276}\! \left(x \right)
F_{276}\! \left(x \right) = F_{277}\! \left(x \right)
F_{277}\! \left(x \right) = F_{0}\! \left(x \right) F_{19}\! \left(x \right) F_{203}\! \left(x \right)
F_{278}\! \left(x \right) = F_{145}\! \left(x \right) F_{279}\! \left(x \right)
F_{279}\! \left(x \right) = F_{280}\! \left(x \right)
F_{280}\! \left(x \right) = F_{19}\! \left(x \right) F_{195}\! \left(x \right) F_{61}\! \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_19(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_19(x)*F_8(x))
Eq(F_8(x), F_10(x) + F_9(x))
Eq(F_9(x), F_2(x)*F_4(x))
Eq(F_10(x), F_11(x))
Eq(F_11(x), F_12(x)*F_19(x))
Eq(F_12(x), F_13(x) + F_278(x))
Eq(F_13(x), F_14(x)*F_195(x))
Eq(F_14(x), F_15(x) + F_23(x))
Eq(F_15(x), F_16(x)*F_20(x))
Eq(F_16(x), F_0(x) + F_17(x))
Eq(F_17(x), F_18(x))
Eq(F_18(x), F_14(x)*F_19(x))
Eq(F_19(x), x)
Eq(F_20(x), F_1(x) + F_21(x))
Eq(F_21(x), F_22(x))
Eq(F_22(x), F_19(x)*F_20(x))
Eq(F_23(x), F_24(x))
Eq(F_24(x), F_19(x)*F_20(x)*F_25(x))
Eq(F_25(x), F_26(x)/F_19(x))
Eq(F_26(x), F_27(x))
Eq(F_27(x), F_28(x) - F_34(x))
Eq(F_28(x), F_29(x)/F_19(x))
Eq(F_29(x), F_30(x))
Eq(F_30(x), -F_2(x) + F_31(x))
Eq(F_31(x), -F_0(x) + F_32(x))
Eq(F_32(x), F_33(x)/F_19(x))
Eq(F_33(x), F_2(x))
Eq(F_34(x), F_35(x) + F_36(x))
Eq(F_35(x), F_2(x)*F_32(x))
Eq(F_36(x), F_37(x))
Eq(F_37(x), F_19(x)*F_38(x)*F_40(x))
Eq(F_38(x), F_39(x)/F_19(x))
Eq(F_39(x), F_27(x))
Eq(F_40(x), F_2(x) + F_41(x))
Eq(F_41(x), F_42(x))
Eq(F_42(x), F_19(x)*F_43(x))
Eq(F_43(x), F_44(x) + F_45(x))
Eq(F_44(x), F_0(x) + F_41(x))
Eq(F_45(x), F_46(x) + F_47(x))
Eq(F_46(x), F_2(x)*F_20(x))
Eq(F_47(x), F_48(x))
Eq(F_48(x), F_19(x)*F_49(x))
Eq(F_49(x), F_140(x) + F_50(x))
Eq(F_50(x), F_2(x)*F_51(x))
Eq(F_51(x), F_43(x) + F_52(x))
Eq(F_52(x), F_53(x))
Eq(F_53(x), F_19(x)*F_54(x))
Eq(F_54(x), F_51(x) + F_55(x))
Eq(F_55(x), F_56(x))
Eq(F_56(x), F_19(x)*F_57(x)*F_71(x))
Eq(F_57(x), F_58(x) + F_59(x))
Eq(F_58(x), F_1(x) + F_59(x))
Eq(F_59(x), F_60(x))
Eq(F_60(x), F_19(x)*F_61(x))
Eq(F_61(x), F_20(x) + F_62(x))
Eq(F_62(x), F_63(x) + F_66(x))
Eq(F_63(x), F_64(x))
Eq(F_64(x), F_19(x)*F_65(x))
Eq(F_65(x), F_1(x) + F_63(x))
Eq(F_66(x), F_67(x) + F_68(x) + F_70(x))
Eq(F_67(x), 0)
Eq(F_68(x), F_19(x)*F_69(x))
Eq(F_69(x), F_21(x) + F_66(x))
Eq(F_70(x), F_19(x)*F_62(x))
Eq(F_71(x), F_138(x) + F_72(x))
Eq(F_72(x), -F_126(x) + F_73(x))
Eq(F_73(x), F_74(x)/(F_19(x)*F_65(x)))
Eq(F_74(x), F_75(x))
Eq(F_75(x), -F_108(x) + F_76(x))
Eq(F_76(x), F_77(x)/F_19(x))
Eq(F_77(x), F_78(x))
Eq(F_78(x), F_104(x) + F_79(x))
Eq(F_79(x), F_80(x))
Eq(F_80(x), F_19(x)*F_81(x))
Eq(F_81(x), F_82(x) + F_83(x))
Eq(F_82(x), F_1(x) + F_79(x))
Eq(F_83(x), F_84(x) + F_89(x))
Eq(F_84(x), F_85(x))
Eq(F_85(x), F_19(x)*F_86(x))
Eq(F_86(x), F_87(x) + F_88(x))
Eq(F_87(x), F_1(x) + F_84(x))
Eq(F_88(x), F_21(x))
Eq(F_89(x), F_102(x) + F_67(x) + F_90(x))
Eq(F_90(x), F_19(x)*F_91(x))
Eq(F_91(x), F_92(x) + F_96(x))
Eq(F_92(x), F_21(x) + F_93(x))
Eq(F_93(x), F_67(x) + F_90(x) + F_94(x))
Eq(F_94(x), F_19(x)*F_95(x))
Eq(F_95(x), F_84(x) + F_93(x))
Eq(F_96(x), F_97(x))
Eq(F_97(x), F_100(x) + F_67(x) + F_98(x))
Eq(F_98(x), F_19(x)*F_99(x))
Eq(F_99(x), F_21(x) + F_97(x))
Eq(F_100(x), F_101(x)*F_19(x))
Eq(F_101(x), F_21(x) + F_97(x))
Eq(F_102(x), F_103(x)*F_19(x))
Eq(F_103(x), F_83(x))
Eq(F_104(x), F_105(x) - F_2(x))
Eq(F_105(x), F_106(x) - F_82(x))
Eq(F_106(x), F_107(x)/F_19(x))
Eq(F_107(x), F_2(x))
Eq(F_108(x), F_106(x) + F_109(x))
Eq(F_109(x), F_110(x) - F_124(x))
Eq(F_110(x), F_111(x))
Eq(F_111(x), F_112(x)*F_19(x))
Eq(F_112(x), F_113(x) + F_122(x))
Eq(F_113(x), F_114(x)/F_19(x))
Eq(F_114(x), F_115(x))
Eq(F_115(x), F_116(x) - F_118(x))
Eq(F_116(x), F_117(x)/F_19(x))
Eq(F_117(x), F_104(x))
Eq(F_118(x), F_119(x) - F_121(x))
Eq(F_119(x), F_120(x)/F_19(x))
Eq(F_120(x), F_105(x))
Eq(F_121(x), F_106(x) + F_45(x))
Eq(F_122(x), F_123(x))
Eq(F_123(x), F_19(x)*F_58(x)*F_65(x)*F_73(x))
Eq(F_124(x), F_125(x))
Eq(F_125(x), F_19(x)*F_75(x))
Eq(F_126(x), F_127(x))
Eq(F_127(x), F_128(x)*F_19(x)*F_72(x))
Eq(F_128(x), F_129(x) + F_130(x))
Eq(F_129(x), F_101(x) + F_20(x))
Eq(F_130(x), F_131(x) + F_62(x))
Eq(F_131(x), F_132(x) + F_66(x))
Eq(F_132(x), F_133(x) + F_135(x) + F_137(x) + F_67(x))
Eq(F_133(x), F_134(x)*F_19(x))
Eq(F_134(x), F_132(x) + F_97(x))
Eq(F_135(x), F_136(x)*F_19(x))
Eq(F_136(x), F_132(x) + F_66(x))
Eq(F_137(x), F_131(x)*F_19(x))
Eq(F_138(x), F_139(x))
Eq(F_139(x), F_128(x)*F_19(x)*F_72(x))
Eq(F_140(x), F_141(x))
Eq(F_141(x), F_142(x)*F_19(x))
Eq(F_142(x), F_143(x) + F_144(x))
Eq(F_143(x), F_14(x)*F_72(x))
Eq(F_144(x), F_138(x)*F_145(x))
Eq(F_145(x), F_146(x)/F_19(x))
Eq(F_146(x), F_147(x))
Eq(F_147(x), F_148(x) - F_193(x))
Eq(F_148(x), F_149(x) - F_192(x))
Eq(F_149(x), F_150(x) - F_153(x))
Eq(F_150(x), F_151(x) + F_152(x))
Eq(F_151(x), F_0(x)*F_32(x))
Eq(F_152(x), F_27(x) + F_36(x))
Eq(F_153(x), F_154(x))
Eq(F_154(x), F_155(x)*F_19(x))
Eq(F_155(x), F_156(x) + F_177(x))
Eq(F_156(x), F_157(x) + F_167(x))
Eq(F_157(x), F_150(x) + F_158(x))
Eq(F_158(x), F_159(x))
Eq(F_159(x), F_0(x)*F_160(x)*F_57(x))
Eq(F_160(x), F_161(x))
Eq(F_161(x), F_162(x)*F_19(x))
Eq(F_162(x), F_163(x) + F_20(x))
Eq(F_163(x), F_164(x) + F_19(x))
Eq(F_164(x), F_165(x) + F_166(x) + F_67(x))
Eq(F_165(x), F_19(x)*F_21(x))
Eq(F_166(x), F_163(x)*F_19(x))
Eq(F_167(x), -F_158(x) + F_168(x))
Eq(F_168(x), F_169(x)/F_19(x))
Eq(F_169(x), F_170(x))
Eq(F_170(x), F_171(x) - F_176(x))
Eq(F_171(x), F_172(x) - F_174(x))
Eq(F_172(x), F_173(x)/F_19(x))
Eq(F_173(x), F_30(x))
Eq(F_174(x), F_175(x))
Eq(F_175(x), F_19(x)*F_38(x))
Eq(F_176(x), F_2(x) + F_30(x))
Eq(F_177(x), F_178(x) + F_183(x))
Eq(F_178(x), F_179(x)*F_181(x))
Eq(F_179(x), F_174(x) + F_180(x))
Eq(F_180(x), F_171(x) + F_32(x))
Eq(F_181(x), F_182(x))
Eq(F_182(x), F_19(x)*F_44(x)*F_57(x))
Eq(F_183(x), F_184(x))
Eq(F_184(x), F_185(x)*F_19(x)*F_44(x))
Eq(F_185(x), F_186(x) + F_191(x))
Eq(F_186(x), F_187(x) - F_190(x))
Eq(F_187(x), F_188(x)/F_19(x))
Eq(F_188(x), F_189(x))
Eq(F_189(x), -F_147(x) + F_27(x))
Eq(F_190(x), F_179(x)*F_59(x))
Eq(F_191(x), F_186(x))
Eq(F_192(x), F_0(x)**2)
Eq(F_193(x), F_194(x))
Eq(F_194(x), F_145(x)*F_19(x)*F_40(x))
Eq(F_195(x), F_196(x)/(F_19(x)*F_269(x)))
Eq(F_196(x), F_197(x))
Eq(F_197(x), F_198(x) - F_265(x))
Eq(F_198(x), F_199(x)/F_19(x))
Eq(F_199(x), F_200(x))
Eq(F_200(x), F_19(x)*F_201(x))
Eq(F_201(x), F_202(x) + F_223(x))
Eq(F_202(x), F_203(x)*F_41(x))
Eq(F_203(x), F_204(x) + F_206(x))
Eq(F_204(x), F_20(x) + F_205(x))
Eq(F_205(x), F_160(x))
Eq(F_206(x), F_207(x) + F_62(x))
Eq(F_207(x), F_208(x))
Eq(F_208(x), F_209(x) + F_211(x) + F_67(x))
Eq(F_209(x), F_19(x)*F_210(x))
Eq(F_210(x), F_160(x) + F_208(x))
Eq(F_211(x), F_19(x)*F_212(x))
Eq(F_212(x), F_213(x) + F_62(x))
Eq(F_213(x), F_214(x) + F_218(x))
Eq(F_214(x), F_215(x) + F_217(x) + F_67(x))
Eq(F_215(x), F_19(x)*F_216(x))
Eq(F_216(x), F_19(x) + F_214(x))
Eq(F_217(x), F_19(x)*F_63(x))
Eq(F_218(x), F_219(x) + F_221(x) + F_222(x) + F_67(x))
Eq(F_219(x), F_19(x)*F_220(x))
Eq(F_220(x), F_164(x) + F_218(x))
Eq(F_221(x), F_19(x)*F_66(x))
Eq(F_222(x), F_19(x)*F_213(x))
Eq(F_223(x), F_224(x)*F_44(x))
Eq(F_224(x), F_225(x) + F_242(x))
Eq(F_225(x), F_101(x) + F_226(x))
Eq(F_226(x), F_227(x))
Eq(F_227(x), F_228(x) + F_230(x) + F_67(x))
Eq(F_228(x), F_19(x)*F_229(x))
Eq(F_229(x), F_160(x) + F_227(x))
Eq(F_230(x), F_19(x)*F_231(x))
Eq(F_231(x), F_101(x) + F_232(x))
Eq(F_232(x), F_233(x) + F_237(x))
Eq(F_233(x), F_234(x) + F_236(x) + F_67(x))
Eq(F_234(x), F_19(x)*F_235(x))
Eq(F_235(x), F_19(x) + F_233(x))
Eq(F_236(x), F_19(x)*F_21(x))
Eq(F_237(x), F_238(x) + F_240(x) + F_241(x) + F_67(x))
Eq(F_238(x), F_19(x)*F_239(x))
Eq(F_239(x), F_164(x) + F_237(x))
Eq(F_240(x), F_19(x)*F_97(x))
Eq(F_241(x), F_19(x)*F_232(x))
Eq(F_242(x), F_131(x) + F_243(x))
Eq(F_243(x), F_244(x))
Eq(F_244(x), F_245(x) + F_247(x) + F_249(x) + F_67(x))
Eq(F_245(x), F_19(x)*F_246(x))
Eq(F_246(x), F_227(x) + F_244(x))
Eq(F_247(x), F_19(x)*F_248(x))
Eq(F_248(x), F_208(x) + F_244(x))
Eq(F_249(x), F_19(x)*F_250(x))
Eq(F_250(x), F_131(x) + F_251(x))
Eq(F_251(x), F_252(x) + F_258(x))
Eq(F_252(x), F_253(x) + F_255(x) + F_257(x) + F_67(x))
Eq(F_253(x), F_19(x)*F_254(x))
Eq(F_254(x), F_233(x) + F_252(x))
Eq(F_255(x), F_19(x)*F_256(x))
Eq(F_256(x), F_214(x) + F_252(x))
Eq(F_257(x), F_19(x)*F_66(x))
Eq(F_258(x), F_259(x) + F_261(x) + F_263(x) + F_264(x) + F_67(x))
Eq(F_259(x), F_19(x)*F_260(x))
Eq(F_260(x), F_237(x) + F_258(x))
Eq(F_261(x), F_19(x)*F_262(x))
Eq(F_262(x), F_218(x) + F_258(x))
Eq(F_263(x), F_132(x)*F_19(x))
Eq(F_264(x), F_19(x)*F_251(x))
Eq(F_265(x), F_266(x))
Eq(F_266(x), F_19(x)*F_267(x)*F_65(x))
Eq(F_267(x), F_268(x) + F_275(x))
Eq(F_268(x), F_269(x)*F_272(x))
Eq(F_269(x), F_270(x) + F_271(x))
Eq(F_270(x), F_204(x) + F_225(x))
Eq(F_271(x), F_206(x) + F_242(x))
Eq(F_272(x), F_0(x) + F_273(x))
Eq(F_273(x), F_274(x))
Eq(F_274(x), F_0(x)*F_19(x)*F_61(x))
Eq(F_275(x), F_128(x)*F_276(x))
Eq(F_276(x), F_277(x))
Eq(F_277(x), F_0(x)*F_19(x)*F_203(x))
Eq(F_278(x), F_145(x)*F_279(x))
Eq(F_279(x), F_280(x))
Eq(F_280(x), F_19(x)*F_195(x)*F_61(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, 1, 4, 3], [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, 1, 4, 3], [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, 1, 4, 3], [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, 1, 4, 3], [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, 1, 4, 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], [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, 1, 4, 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], [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": [[1, 2]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 2]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 1, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1, 4, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 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, 2], [0, 2], [0, 2], [0, 2], [0, 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, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 1, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1, 4, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"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, 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]]}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.factor", "strategy_class": "FactorStrategy", "ignore_parent": true, "workable": true, "partition": [[[0, 0], [0, 2]], [[1, 1]]]}}, "idx": 0}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 0], [1, 0], [1, 2], [1, 2]]}, {"patt": [0, 3, 1, 2], "pos": [[1, 0], [1, 2], [1, 0], [1, 2]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 2], [1, 2], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [1, 3, 0, 2], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [1, 3, 2, 0], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [3, 1, 0, 2], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [3, 1, 2, 0], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [3, 2, 1, 0], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 2], [1, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 1, 4, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 1, 4, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 2], [1, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 1], [0, 0], [0, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 1], [0, 1], [0, 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1]]}, {"patt": [2, 0, 1], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [2, 1, 0], "pos": [[0, 1], [0, 1], [0, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [1, 0], "pos": [[0, 0], [0, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 1], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [2, 1, 0], "pos": [[0, 1], [0, 1], [0, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 1], [0, 2]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 2], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 2], [0, 2]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 1], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [2, 1, 0], "pos": [[0, 1], [0, 1], [0, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 1]]}], [{"patt": [0], "pos": [[0, 2]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementInsertionStrategy", "ignore_parent": true, "gps": [{"patt": [0], "pos": [[0, 2]]}]}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalenceRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [0, 1], "pos": [[0, 2], [0, 3]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 3], [0, 2]]}, {"patt": [1, 0], "pos": [[0, 3], [0, 3]]}, {"patt": [0, 2, 1], "pos": [[0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 1], "pos": [[0, 2], [0, 2], [0, 2]]}, {"patt": [2, 1, 0], "pos": [[0, 2], [0, 2], [0, 2]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 1]]}], [{"patt": [0], "pos": [[0, 2]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 1], "pos": [[0, 2], [0, 2], [0, 2]]}, {"patt": [2, 1, 0], "pos": [[0, 2], [0, 2], [0, 2]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 1]]}], [{"patt": [0], "pos": [[0, 2]]}]], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [0, 1], "pos": [[0, 2], [0, 3]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 3], [0, 2]]}, {"patt": [1, 0], "pos": [[0, 3], [0, 3]]}, {"patt": [0, 2, 1], "pos": [[0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 1], "pos": [[0, 2], [0, 2], [0, 2]]}, {"patt": [2, 1, 0], "pos": [[0, 2], [0, 2], [0, 2]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 1]]}], [{"patt": [0], "pos": [[0, 2]]}], [{"patt": [0], "pos": [[0, 3]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementInsertionStrategy", "ignore_parent": true, "gps": [{"patt": [0], "pos": [[0, 3]]}]}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalenceRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1], "pos": [[0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[1, 2], [1, 2]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}], "indices": [0], "direction": 2, "own_col": true, "own_row": true, "include_empty": true}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}]}
Specification 5
Strategy pack name: requirement_placements
Tree: http://www.permpal.com/tree/25891/
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[27,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[6,x]
F[6,x] = F[27,x]*F[7,x]
F[7,x] = F[298,x]+F[8,x]
F[8,x] = F[268,x]+F[9,x]
F[9,x] = F[10,x]+F[4,x]
F[10,x] = F[11,x]
F[11,x] = F[12,x]*F[27,x]
F[12,x] = F[13,x]+F[263,x]
F[13,x] = F[0,x]*F[14,x]
F[14,x] = 1/F[27,x]*F[15,x]
F[15,x] = F[16,x]
F[16,x] = F[17,x]
F[17,x] = F[18,x]*F[27,x]
F[18,x] = F[19,x]+F[20,x]
F[19,x] = F[0,x]*F[4,x]
F[20,x] = F[21,x]
F[21,x] = F[22,x]*F[27,x]*F[48,x]
F[22,x] = 1/F[27,x]/F[93,x]*F[23,x]
F[23,x] = F[24,x]
F[24,x] = -F[28,x]+F[25,x]
F[25,x] = 1/F[27,x]*F[26,x]
F[26,x] = F[5,x]
F[27,x] = x
F[28,x] = F[29,x]+F[34,x]
F[29,x] = F[30,x]
F[30,x] = F[0,x]*F[31,x]
F[31,x] = F[0,x]+F[32,x]
F[32,x] = F[33,x]
F[33,x] = F[25,x]*F[27,x]
F[34,x] = F[35,x]
F[35,x] = F[27,x]*F[36,x]*F[37,x]
F[36,x] = -F[9,x]+F[7,x]
F[37,x] = 1/F[27,x]*F[38,x]
F[38,x] = F[39,x]
F[39,x] = -F[45,x]+F[40,x]
F[40,x] = 1/F[27,x]*F[41,x]
F[41,x] = F[42,x]
F[42,x] = F[43,x]
F[43,x] = F[27,x]*F[44,x]
F[44,x] = F[16,x]+F[42,x]
F[45,x] = -F[48,x]+F[46,x]
F[46,x] = 1/F[27,x]*F[47,x]
F[47,x] = F[2,x]
F[48,x] = F[0,x]+F[49,x]
F[49,x] = F[50,x]
F[50,x] = F[27,x]*F[51,x]
F[51,x] = 1/F[134,x]*F[52,x]
F[52,x] = -F[62,x]+F[53,x]
F[53,x] = 1/F[27,x]*F[54,x]
F[54,x] = F[55,x]
F[55,x] = 1/F[27,x]*F[56,x]
F[56,x] = F[57,x]
F[57,x] = -F[60,x]+F[58,x]
F[58,x] = 1/F[27,x]*F[59,x]
F[59,x] = F[2,x]
F[60,x] = F[61,x]
F[61,x] = F[0,x]^2
F[62,x] = F[122,x]*F[63,x]
F[63,x] = F[121,x]+F[64,x]
F[64,x] = F[65,x]+F[96,x]
F[65,x] = F[0,x]+F[66,x]
F[66,x] = F[67,x]
F[67,x] = F[27,x]*F[68,x]
F[68,x] = F[69,x]+F[71,x]
F[69,x] = F[70,x]
F[70,x] = F[0,x]*F[65,x]
F[71,x] = F[72,x]
F[72,x] = F[27,x]*F[48,x]*F[73,x]
F[73,x] = F[74,x]
F[74,x] = F[27,x]*F[75,x]*F[93,x]
F[75,x] = 1/F[27,x]/F[93,x]^2*F[76,x]
F[76,x] = F[77,x]
F[77,x] = F[78,x]
F[78,x] = F[93,x]^2*F[27,x]*F[79,x]
F[79,x] = 1/F[27,x]/F[93,x]*F[80,x]
F[80,x] = F[81,x]
F[81,x] = 1/F[27,x]*F[82,x]
F[82,x] = F[83,x]
F[83,x] = -F[86,x]+F[84,x]
F[84,x] = 1/F[27,x]*F[85,x]
F[85,x] = F[42,x]
F[86,x] = F[87,x]
F[87,x] = F[27,x]*F[88,x]
F[88,x] = F[68,x]+F[89,x]
F[89,x] = F[90,x]
F[90,x] = F[27,x]*F[91,x]
F[91,x] = F[77,x]+F[92,x]
F[92,x] = F[68,x]*F[93,x]
F[93,x] = F[1,x]+F[94,x]
F[94,x] = F[95,x]
F[95,x] = F[27,x]*F[93,x]
F[96,x] = F[97,x]
F[97,x] = F[27,x]*F[98,x]
F[98,x] = -F[101,x]+F[99,x]
F[99,x] = 1/F[27,x]*F[100,x]
F[100,x] = F[36,x]
F[101,x] = 1/F[93,x]*F[102,x]
F[102,x] = F[103,x]
F[103,x] = -F[119,x]+F[104,x]
F[104,x] = 1/F[27,x]*F[105,x]
F[105,x] = F[106,x]
F[106,x] = -F[116,x]+F[107,x]
F[107,x] = F[108,x]+F[115,x]
F[108,x] = F[109,x]
F[109,x] = F[110,x]*F[93,x]
F[110,x] = 1/F[93,x]*F[111,x]
F[111,x] = F[112,x]
F[112,x] = -F[113,x]+F[91,x]
F[113,x] = F[114,x]
F[114,x] = F[27,x]*F[77,x]
F[115,x] = F[114,x]
F[116,x] = F[117,x]
F[117,x] = F[110,x]+F[118,x]
F[118,x] = F[63,x]*F[94,x]
F[119,x] = F[120,x]
F[120,x] = F[27,x]*F[75,x]*F[93,x]*F[94,x]
F[121,x] = F[96,x]
F[122,x] = F[123,x]
F[123,x] = F[124,x]*F[27,x]*F[51,x]
F[124,x] = F[125,x]+F[93,x]
F[125,x] = F[126,x]+F[129,x]
F[126,x] = F[127,x]
F[127,x] = F[128,x]*F[27,x]
F[128,x] = F[1,x]+F[126,x]
F[129,x] = F[130,x]+F[131,x]+F[133,x]
F[130,x] = 0
F[131,x] = F[132,x]*F[27,x]
F[132,x] = F[129,x]+F[94,x]
F[133,x] = F[125,x]*F[27,x]
F[134,x] = 1/F[27,x]*F[135,x]
F[135,x] = F[136,x]
F[136,x] = F[137,x]*F[27,x]
F[137,x] = F[138,x]+F[220,x]
F[138,x] = F[139,x]
F[139,x] = F[140,x]+F[216,x]
F[140,x] = F[141,x]+F[170,x]
F[141,x] = F[142,x]+F[145,x]
F[142,x] = F[1,x]+F[143,x]
F[143,x] = F[144,x]
F[144,x] = F[93,x]^2*F[27,x]
F[145,x] = F[146,x]+F[94,x]
F[146,x] = F[130,x]+F[147,x]+F[149,x]
F[147,x] = F[148,x]*F[27,x]
F[148,x] = F[143,x]+F[146,x]
F[149,x] = F[150,x]*F[27,x]
F[150,x] = F[151,x]+F[156,x]
F[151,x] = F[152,x]+F[94,x]
F[152,x] = F[130,x]+F[153,x]+F[155,x]
F[153,x] = F[154,x]*F[27,x]
F[154,x] = F[152,x]+F[94,x]
F[155,x] = F[151,x]*F[27,x]
F[156,x] = F[157,x]+F[161,x]
F[157,x] = F[130,x]+F[158,x]+F[160,x]
F[158,x] = F[159,x]*F[27,x]
F[159,x] = F[157,x]+F[27,x]
F[160,x] = F[27,x]*F[94,x]
F[161,x] = F[130,x]+F[162,x]+F[168,x]+F[169,x]
F[162,x] = F[163,x]*F[27,x]
F[163,x] = F[161,x]+F[164,x]
F[164,x] = F[130,x]+F[165,x]+F[166,x]
F[165,x] = F[27,x]*F[94,x]
F[166,x] = F[167,x]*F[27,x]
F[167,x] = F[164,x]+F[27,x]
F[168,x] = F[152,x]*F[27,x]
F[169,x] = F[156,x]*F[27,x]
F[170,x] = F[171,x]+F[187,x]
F[171,x] = F[126,x]+F[172,x]
F[172,x] = F[130,x]+F[173,x]+F[175,x]
F[173,x] = F[174,x]*F[27,x]
F[174,x] = F[143,x]+F[172,x]
F[175,x] = F[176,x]*F[27,x]
F[176,x] = F[125,x]+F[177,x]
F[177,x] = F[178,x]+F[182,x]
F[178,x] = F[130,x]+F[179,x]+F[181,x]
F[179,x] = F[180,x]*F[27,x]
F[180,x] = F[178,x]+F[27,x]
F[181,x] = F[126,x]*F[27,x]
F[182,x] = F[130,x]+F[183,x]+F[185,x]+F[186,x]
F[183,x] = F[184,x]*F[27,x]
F[184,x] = F[164,x]+F[182,x]
F[185,x] = F[129,x]*F[27,x]
F[186,x] = F[177,x]*F[27,x]
F[187,x] = F[129,x]+F[188,x]
F[188,x] = F[130,x]+F[189,x]+F[191,x]+F[193,x]
F[189,x] = F[190,x]*F[27,x]
F[190,x] = F[146,x]+F[188,x]
F[191,x] = F[192,x]*F[27,x]
F[192,x] = F[172,x]+F[188,x]
F[193,x] = F[194,x]*F[27,x]
F[194,x] = F[195,x]+F[202,x]
F[195,x] = F[129,x]+F[196,x]
F[196,x] = F[130,x]+F[197,x]+F[199,x]+F[201,x]
F[197,x] = F[198,x]*F[27,x]
F[198,x] = F[152,x]+F[196,x]
F[199,x] = F[200,x]*F[27,x]
F[200,x] = F[129,x]+F[196,x]
F[201,x] = F[195,x]*F[27,x]
F[202,x] = F[203,x]+F[209,x]
F[203,x] = F[130,x]+F[204,x]+F[206,x]+F[208,x]
F[204,x] = F[205,x]*F[27,x]
F[205,x] = F[157,x]+F[203,x]
F[206,x] = F[207,x]*F[27,x]
F[207,x] = F[178,x]+F[203,x]
F[208,x] = F[129,x]*F[27,x]
F[209,x] = F[130,x]+F[210,x]+F[212,x]+F[214,x]+F[215,x]
F[210,x] = F[211,x]*F[27,x]
F[211,x] = F[161,x]+F[209,x]
F[212,x] = F[213,x]*F[27,x]
F[213,x] = F[182,x]+F[209,x]
F[214,x] = F[196,x]*F[27,x]
F[215,x] = F[202,x]*F[27,x]
F[216,x] = F[2,x]*F[217,x]
F[217,x] = F[218,x]+F[219,x]
F[218,x] = F[151,x]+F[93,x]
F[219,x] = F[125,x]+F[195,x]
F[220,x] = F[221,x]
F[221,x] = F[124,x]*F[222,x]*F[27,x]
F[222,x] = F[220,x]+F[223,x]
F[223,x] = -F[249,x]+F[224,x]
F[224,x] = 1/F[27,x]*F[225,x]
F[225,x] = F[226,x]
F[226,x] = -F[241,x]+F[227,x]
F[227,x] = -F[237,x]+F[228,x]
F[228,x] = 1/F[27,x]*F[229,x]
F[229,x] = F[230,x]
F[230,x] = -F[231,x]+F[4,x]
F[231,x] = F[232,x]
F[232,x] = F[0,x]+F[233,x]
F[233,x] = F[2,x]+F[234,x]
F[234,x] = F[143,x]*F[235,x]
F[235,x] = F[236,x]
F[236,x] = F[124,x]*F[27,x]
F[237,x] = -F[238,x]+F[18,x]
F[238,x] = F[239,x]+F[4,x]
F[239,x] = F[240,x]
F[240,x] = F[22,x]*F[27,x]
F[241,x] = F[242,x]
F[242,x] = F[243,x]*F[27,x]
F[243,x] = F[244,x]+F[245,x]
F[244,x] = F[227,x]
F[245,x] = F[246,x]
F[246,x] = F[124,x]*F[247,x]*F[27,x]
F[247,x] = F[238,x]+F[248,x]
F[248,x] = F[239,x]
F[249,x] = F[250,x]+F[253,x]
F[250,x] = F[251,x]
F[251,x] = F[130,x]+F[155,x]+F[252,x]
F[252,x] = F[251,x]*F[27,x]
F[253,x] = F[254,x]+F[257,x]
F[254,x] = F[255,x]
F[255,x] = F[130,x]+F[133,x]+F[256,x]
F[256,x] = F[255,x]*F[27,x]
F[257,x] = F[258,x]
F[258,x] = F[130,x]+F[201,x]+F[259,x]+F[261,x]
F[259,x] = F[260,x]*F[27,x]
F[260,x] = F[251,x]+F[258,x]
F[261,x] = F[262,x]*F[27,x]
F[262,x] = F[255,x]+F[258,x]
F[263,x] = 1/F[27,x]*F[264,x]
F[264,x] = F[265,x]
F[265,x] = F[266,x]*F[27,x]*F[36,x]
F[266,x] = 1/F[27,x]/F[93,x]*F[267,x]
F[267,x] = F[39,x]
F[268,x] = F[269,x]
F[269,x] = F[27,x]*F[270,x]
F[270,x] = F[247,x]+F[271,x]
F[271,x] = F[272,x]
F[272,x] = F[27,x]*F[273,x]
F[273,x] = F[274,x]+F[296,x]
F[274,x] = F[275,x]+F[278,x]
F[275,x] = F[276,x]
F[276,x] = F[277,x]*F[4,x]
F[277,x] = F[1,x]+F[235,x]
F[278,x] = F[279,x]
F[279,x] = F[124,x]*F[27,x]*F[280,x]
F[280,x] = -F[273,x]+F[281,x]
F[281,x] = 1/F[27,x]*F[282,x]
F[282,x] = F[283,x]
F[283,x] = 1/F[124,x]/F[27,x]/F[48,x]*F[284,x]
F[284,x] = F[285,x]
F[285,x] = F[27,x]*F[286,x]*F[48,x]
F[286,x] = F[287,x]+F[295,x]
F[287,x] = F[288,x]+F[291,x]
F[288,x] = F[289,x]
F[289,x] = F[290,x]*F[66,x]
F[290,x] = F[235,x]+F[277,x]
F[291,x] = F[292,x]
F[292,x] = -F[293,x]+F[64,x]
F[293,x] = F[294,x]
F[294,x] = F[277,x]*F[65,x]
F[295,x] = F[292,x]
F[296,x] = F[297,x]
F[297,x] = -F[4,x]+F[274,x]
F[298,x] = F[299,x]
F[299,x] = F[27,x]*F[300,x]
F[300,x] = F[301,x]+F[303,x]
F[301,x] = F[302,x]
F[302,x] = F[27,x]*F[280,x]
F[303,x] = 1/F[27,x]/F[48,x]*F[304,x]
F[304,x] = F[305,x]
F[305,x] = F[27,x]*F[306,x]
F[306,x] = -F[309,x]+F[307,x]
F[307,x] = 1/F[27,x]*F[308,x]
F[308,x] = F[10,x]
F[309,x] = F[0,x]*F[7,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_{27}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{27}\! \left(x \right) F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{298}\! \left(x \right)+F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{268}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{4}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right) F_{27}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)+F_{263}\! \left(x \right)
F_{13}\! \left(x \right) = F_{0}\! \left(x \right) F_{14}\! \left(x \right)
F_{14}\! \left(x \right) = \frac{F_{15}\! \left(x \right)}{F_{27}\! \left(x \right)}
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right) F_{27}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)+F_{20}\! \left(x \right)
F_{19}\! \left(x \right) = F_{0}\! \left(x \right) F_{4}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right) F_{27}\! \left(x \right) F_{48}\! \left(x \right)
F_{22}\! \left(x \right) = \frac{F_{23}\! \left(x \right)}{F_{27}\! \left(x \right) F_{93}\! \left(x \right)}
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = -F_{28}\! \left(x \right)+F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = \frac{F_{26}\! \left(x \right)}{F_{27}\! \left(x \right)}
F_{26}\! \left(x \right) = F_{5}\! \left(x \right)
F_{27}\! \left(x \right) = x
F_{28}\! \left(x \right) = F_{29}\! \left(x \right)+F_{34}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = F_{0}\! \left(x \right) F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{0}\! \left(x \right)+F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{25}\! \left(x \right) F_{27}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{27}\! \left(x \right) F_{36}\! \left(x \right) F_{37}\! \left(x \right)
F_{36}\! \left(x \right) = -F_{9}\! \left(x \right)+F_{7}\! \left(x \right)
F_{37}\! \left(x \right) = \frac{F_{38}\! \left(x \right)}{F_{27}\! \left(x \right)}
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = -F_{45}\! \left(x \right)+F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = \frac{F_{41}\! \left(x \right)}{F_{27}\! \left(x \right)}
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{27}\! \left(x \right) F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{16}\! \left(x \right)+F_{42}\! \left(x \right)
F_{45}\! \left(x \right) = -F_{48}\! \left(x \right)+F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = \frac{F_{47}\! \left(x \right)}{F_{27}\! \left(x \right)}
F_{47}\! \left(x \right) = F_{2}\! \left(x \right)
F_{48}\! \left(x \right) = F_{0}\! \left(x \right)+F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{27}\! \left(x \right) F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = \frac{F_{52}\! \left(x \right)}{F_{134}\! \left(x \right)}
F_{52}\! \left(x \right) = -F_{62}\! \left(x \right)+F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = \frac{F_{54}\! \left(x \right)}{F_{27}\! \left(x \right)}
F_{54}\! \left(x \right) = F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = \frac{F_{56}\! \left(x \right)}{F_{27}\! \left(x \right)}
F_{56}\! \left(x \right) = F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = -F_{60}\! \left(x \right)+F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = \frac{F_{59}\! \left(x \right)}{F_{27}\! \left(x \right)}
F_{59}\! \left(x \right) = F_{2}\! \left(x \right)
F_{60}\! \left(x \right) = F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{0} \left(x \right)^{2}
F_{62}\! \left(x \right) = F_{122}\! \left(x \right) F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{121}\! \left(x \right)+F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{65}\! \left(x \right)+F_{96}\! \left(x \right)
F_{65}\! \left(x \right) = F_{0}\! \left(x \right)+F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{27}\! \left(x \right) F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{69}\! \left(x \right)+F_{71}\! \left(x \right)
F_{69}\! \left(x \right) = F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{0}\! \left(x \right) F_{65}\! \left(x \right)
F_{71}\! \left(x \right) = F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{27}\! \left(x \right) F_{48}\! \left(x \right) F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{27}\! \left(x \right) F_{75}\! \left(x \right) F_{93}\! \left(x \right)
F_{75}\! \left(x \right) = \frac{F_{76}\! \left(x \right)}{F_{27}\! \left(x \right) F_{93} \left(x \right)^{2}}
F_{76}\! \left(x \right) = F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{93} \left(x \right)^{2} F_{27}\! \left(x \right) F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = \frac{F_{80}\! \left(x \right)}{F_{27}\! \left(x \right) F_{93}\! \left(x \right)}
F_{80}\! \left(x \right) = F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = \frac{F_{82}\! \left(x \right)}{F_{27}\! \left(x \right)}
F_{82}\! \left(x \right) = F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = -F_{86}\! \left(x \right)+F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = \frac{F_{85}\! \left(x \right)}{F_{27}\! \left(x \right)}
F_{85}\! \left(x \right) = F_{42}\! \left(x \right)
F_{86}\! \left(x \right) = F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{27}\! \left(x \right) F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{68}\! \left(x \right)+F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{27}\! \left(x \right) F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = F_{77}\! \left(x \right)+F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{68}\! \left(x \right) F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{1}\! \left(x \right)+F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{27}\! \left(x \right) F_{93}\! \left(x \right)
F_{96}\! \left(x \right) = F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{27}\! \left(x \right) F_{98}\! \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_{27}\! \left(x \right)}
F_{100}\! \left(x \right) = F_{36}\! \left(x \right)
F_{101}\! \left(x \right) = \frac{F_{102}\! \left(x \right)}{F_{93}\! \left(x \right)}
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)
F_{103}\! \left(x \right) = -F_{119}\! \left(x \right)+F_{104}\! \left(x \right)
F_{104}\! \left(x \right) = \frac{F_{105}\! \left(x \right)}{F_{27}\! \left(x \right)}
F_{105}\! \left(x \right) = F_{106}\! \left(x \right)
F_{106}\! \left(x \right) = -F_{116}\! \left(x \right)+F_{107}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right)+F_{115}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right) F_{93}\! \left(x \right)
F_{110}\! \left(x \right) = \frac{F_{111}\! \left(x \right)}{F_{93}\! \left(x \right)}
F_{111}\! \left(x \right) = F_{112}\! \left(x \right)
F_{112}\! \left(x \right) = -F_{113}\! \left(x \right)+F_{91}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right)
F_{114}\! \left(x \right) = F_{27}\! \left(x \right) F_{77}\! \left(x \right)
F_{115}\! \left(x \right) = F_{114}\! \left(x \right)
F_{116}\! \left(x \right) = F_{117}\! \left(x \right)
F_{117}\! \left(x \right) = F_{110}\! \left(x \right)+F_{118}\! \left(x \right)
F_{118}\! \left(x \right) = F_{63}\! \left(x \right) F_{94}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)
F_{120}\! \left(x \right) = F_{27}\! \left(x \right) F_{75}\! \left(x \right) F_{93}\! \left(x \right) F_{94}\! \left(x \right)
F_{121}\! \left(x \right) = F_{96}\! \left(x \right)
F_{122}\! \left(x \right) = F_{123}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right) F_{27}\! \left(x \right) F_{51}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)+F_{93}\! \left(x \right)
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)+F_{129}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right) F_{27}\! \left(x \right)
F_{128}\! \left(x \right) = F_{1}\! \left(x \right)+F_{126}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right)+F_{131}\! \left(x \right)+F_{133}\! \left(x \right)
F_{130}\! \left(x \right) = 0
F_{131}\! \left(x \right) = F_{132}\! \left(x \right) F_{27}\! \left(x \right)
F_{132}\! \left(x \right) = F_{129}\! \left(x \right)+F_{94}\! \left(x \right)
F_{133}\! \left(x \right) = F_{125}\! \left(x \right) F_{27}\! \left(x \right)
F_{134}\! \left(x \right) = \frac{F_{135}\! \left(x \right)}{F_{27}\! \left(x \right)}
F_{135}\! \left(x \right) = F_{136}\! \left(x \right)
F_{136}\! \left(x \right) = F_{137}\! \left(x \right) F_{27}\! \left(x \right)
F_{137}\! \left(x \right) = F_{138}\! \left(x \right)+F_{220}\! \left(x \right)
F_{138}\! \left(x \right) = F_{139}\! \left(x \right)
F_{139}\! \left(x \right) = F_{140}\! \left(x \right)+F_{216}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right)+F_{170}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right)+F_{145}\! \left(x \right)
F_{142}\! \left(x \right) = F_{1}\! \left(x \right)+F_{143}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right)
F_{144}\! \left(x \right) = F_{93} \left(x \right)^{2} F_{27}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right)+F_{94}\! \left(x \right)
F_{146}\! \left(x \right) = F_{130}\! \left(x \right)+F_{147}\! \left(x \right)+F_{149}\! \left(x \right)
F_{147}\! \left(x \right) = F_{148}\! \left(x \right) F_{27}\! \left(x \right)
F_{148}\! \left(x \right) = F_{143}\! \left(x \right)+F_{146}\! \left(x \right)
F_{149}\! \left(x \right) = F_{150}\! \left(x \right) F_{27}\! \left(x \right)
F_{150}\! \left(x \right) = F_{151}\! \left(x \right)+F_{156}\! \left(x \right)
F_{151}\! \left(x \right) = F_{152}\! \left(x \right)+F_{94}\! \left(x \right)
F_{152}\! \left(x \right) = F_{130}\! \left(x \right)+F_{153}\! \left(x \right)+F_{155}\! \left(x \right)
F_{153}\! \left(x \right) = F_{154}\! \left(x \right) F_{27}\! \left(x \right)
F_{154}\! \left(x \right) = F_{152}\! \left(x \right)+F_{94}\! \left(x \right)
F_{155}\! \left(x \right) = F_{151}\! \left(x \right) F_{27}\! \left(x \right)
F_{156}\! \left(x \right) = F_{157}\! \left(x \right)+F_{161}\! \left(x \right)
F_{157}\! \left(x \right) = F_{130}\! \left(x \right)+F_{158}\! \left(x \right)+F_{160}\! \left(x \right)
F_{158}\! \left(x \right) = F_{159}\! \left(x \right) F_{27}\! \left(x \right)
F_{159}\! \left(x \right) = F_{157}\! \left(x \right)+F_{27}\! \left(x \right)
F_{160}\! \left(x \right) = F_{27}\! \left(x \right) F_{94}\! \left(x \right)
F_{161}\! \left(x \right) = F_{130}\! \left(x \right)+F_{162}\! \left(x \right)+F_{168}\! \left(x \right)+F_{169}\! \left(x \right)
F_{162}\! \left(x \right) = F_{163}\! \left(x \right) F_{27}\! \left(x \right)
F_{163}\! \left(x \right) = F_{161}\! \left(x \right)+F_{164}\! \left(x \right)
F_{164}\! \left(x \right) = F_{130}\! \left(x \right)+F_{165}\! \left(x \right)+F_{166}\! \left(x \right)
F_{165}\! \left(x \right) = F_{27}\! \left(x \right) F_{94}\! \left(x \right)
F_{166}\! \left(x \right) = F_{167}\! \left(x \right) F_{27}\! \left(x \right)
F_{167}\! \left(x \right) = F_{164}\! \left(x \right)+F_{27}\! \left(x \right)
F_{168}\! \left(x \right) = F_{152}\! \left(x \right) F_{27}\! \left(x \right)
F_{169}\! \left(x \right) = F_{156}\! \left(x \right) F_{27}\! \left(x \right)
F_{170}\! \left(x \right) = F_{171}\! \left(x \right)+F_{187}\! \left(x \right)
F_{171}\! \left(x \right) = F_{126}\! \left(x \right)+F_{172}\! \left(x \right)
F_{172}\! \left(x \right) = F_{130}\! \left(x \right)+F_{173}\! \left(x \right)+F_{175}\! \left(x \right)
F_{173}\! \left(x \right) = F_{174}\! \left(x \right) F_{27}\! \left(x \right)
F_{174}\! \left(x \right) = F_{143}\! \left(x \right)+F_{172}\! \left(x \right)
F_{175}\! \left(x \right) = F_{176}\! \left(x \right) F_{27}\! \left(x \right)
F_{176}\! \left(x \right) = F_{125}\! \left(x \right)+F_{177}\! \left(x \right)
F_{177}\! \left(x \right) = F_{178}\! \left(x \right)+F_{182}\! \left(x \right)
F_{178}\! \left(x \right) = F_{130}\! \left(x \right)+F_{179}\! \left(x \right)+F_{181}\! \left(x \right)
F_{179}\! \left(x \right) = F_{180}\! \left(x \right) F_{27}\! \left(x \right)
F_{180}\! \left(x \right) = F_{178}\! \left(x \right)+F_{27}\! \left(x \right)
F_{181}\! \left(x \right) = F_{126}\! \left(x \right) F_{27}\! \left(x \right)
F_{182}\! \left(x \right) = F_{130}\! \left(x \right)+F_{183}\! \left(x \right)+F_{185}\! \left(x \right)+F_{186}\! \left(x \right)
F_{183}\! \left(x \right) = F_{184}\! \left(x \right) F_{27}\! \left(x \right)
F_{184}\! \left(x \right) = F_{164}\! \left(x \right)+F_{182}\! \left(x \right)
F_{185}\! \left(x \right) = F_{129}\! \left(x \right) F_{27}\! \left(x \right)
F_{186}\! \left(x \right) = F_{177}\! \left(x \right) F_{27}\! \left(x \right)
F_{187}\! \left(x \right) = F_{129}\! \left(x \right)+F_{188}\! \left(x \right)
F_{188}\! \left(x \right) = F_{130}\! \left(x \right)+F_{189}\! \left(x \right)+F_{191}\! \left(x \right)+F_{193}\! \left(x \right)
F_{189}\! \left(x \right) = F_{190}\! \left(x \right) F_{27}\! \left(x \right)
F_{190}\! \left(x \right) = F_{146}\! \left(x \right)+F_{188}\! \left(x \right)
F_{191}\! \left(x \right) = F_{192}\! \left(x \right) F_{27}\! \left(x \right)
F_{192}\! \left(x \right) = F_{172}\! \left(x \right)+F_{188}\! \left(x \right)
F_{193}\! \left(x \right) = F_{194}\! \left(x \right) F_{27}\! \left(x \right)
F_{194}\! \left(x \right) = F_{195}\! \left(x \right)+F_{202}\! \left(x \right)
F_{195}\! \left(x \right) = F_{129}\! \left(x \right)+F_{196}\! \left(x \right)
F_{196}\! \left(x \right) = F_{130}\! \left(x \right)+F_{197}\! \left(x \right)+F_{199}\! \left(x \right)+F_{201}\! \left(x \right)
F_{197}\! \left(x \right) = F_{198}\! \left(x \right) F_{27}\! \left(x \right)
F_{198}\! \left(x \right) = F_{152}\! \left(x \right)+F_{196}\! \left(x \right)
F_{199}\! \left(x \right) = F_{200}\! \left(x \right) F_{27}\! \left(x \right)
F_{200}\! \left(x \right) = F_{129}\! \left(x \right)+F_{196}\! \left(x \right)
F_{201}\! \left(x \right) = F_{195}\! \left(x \right) F_{27}\! \left(x \right)
F_{202}\! \left(x \right) = F_{203}\! \left(x \right)+F_{209}\! \left(x \right)
F_{203}\! \left(x \right) = F_{130}\! \left(x \right)+F_{204}\! \left(x \right)+F_{206}\! \left(x \right)+F_{208}\! \left(x \right)
F_{204}\! \left(x \right) = F_{205}\! \left(x \right) F_{27}\! \left(x \right)
F_{205}\! \left(x \right) = F_{157}\! \left(x \right)+F_{203}\! \left(x \right)
F_{206}\! \left(x \right) = F_{207}\! \left(x \right) F_{27}\! \left(x \right)
F_{207}\! \left(x \right) = F_{178}\! \left(x \right)+F_{203}\! \left(x \right)
F_{208}\! \left(x \right) = F_{129}\! \left(x \right) F_{27}\! \left(x \right)
F_{209}\! \left(x \right) = F_{130}\! \left(x \right)+F_{210}\! \left(x \right)+F_{212}\! \left(x \right)+F_{214}\! \left(x \right)+F_{215}\! \left(x \right)
F_{210}\! \left(x \right) = F_{211}\! \left(x \right) F_{27}\! \left(x \right)
F_{211}\! \left(x \right) = F_{161}\! \left(x \right)+F_{209}\! \left(x \right)
F_{212}\! \left(x \right) = F_{213}\! \left(x \right) F_{27}\! \left(x \right)
F_{213}\! \left(x \right) = F_{182}\! \left(x \right)+F_{209}\! \left(x \right)
F_{214}\! \left(x \right) = F_{196}\! \left(x \right) F_{27}\! \left(x \right)
F_{215}\! \left(x \right) = F_{202}\! \left(x \right) F_{27}\! \left(x \right)
F_{216}\! \left(x \right) = F_{2}\! \left(x \right) F_{217}\! \left(x \right)
F_{217}\! \left(x \right) = F_{218}\! \left(x \right)+F_{219}\! \left(x \right)
F_{218}\! \left(x \right) = F_{151}\! \left(x \right)+F_{93}\! \left(x \right)
F_{219}\! \left(x \right) = F_{125}\! \left(x \right)+F_{195}\! \left(x \right)
F_{220}\! \left(x \right) = F_{221}\! \left(x \right)
F_{221}\! \left(x \right) = F_{124}\! \left(x \right) F_{222}\! \left(x \right) F_{27}\! \left(x \right)
F_{222}\! \left(x \right) = F_{220}\! \left(x \right)+F_{223}\! \left(x \right)
F_{223}\! \left(x \right) = -F_{249}\! \left(x \right)+F_{224}\! \left(x \right)
F_{224}\! \left(x \right) = \frac{F_{225}\! \left(x \right)}{F_{27}\! \left(x \right)}
F_{225}\! \left(x \right) = F_{226}\! \left(x \right)
F_{226}\! \left(x \right) = -F_{241}\! \left(x \right)+F_{227}\! \left(x \right)
F_{227}\! \left(x \right) = -F_{237}\! \left(x \right)+F_{228}\! \left(x \right)
F_{228}\! \left(x \right) = \frac{F_{229}\! \left(x \right)}{F_{27}\! \left(x \right)}
F_{229}\! \left(x \right) = F_{230}\! \left(x \right)
F_{230}\! \left(x \right) = -F_{231}\! \left(x \right)+F_{4}\! \left(x \right)
F_{231}\! \left(x \right) = F_{232}\! \left(x \right)
F_{232}\! \left(x \right) = F_{0}\! \left(x \right)+F_{233}\! \left(x \right)
F_{233}\! \left(x \right) = F_{2}\! \left(x \right)+F_{234}\! \left(x \right)
F_{234}\! \left(x \right) = F_{143}\! \left(x \right) F_{235}\! \left(x \right)
F_{235}\! \left(x \right) = F_{236}\! \left(x \right)
F_{236}\! \left(x \right) = F_{124}\! \left(x \right) F_{27}\! \left(x \right)
F_{237}\! \left(x \right) = -F_{238}\! \left(x \right)+F_{18}\! \left(x \right)
F_{238}\! \left(x \right) = F_{239}\! \left(x \right)+F_{4}\! \left(x \right)
F_{239}\! \left(x \right) = F_{240}\! \left(x \right)
F_{240}\! \left(x \right) = F_{22}\! \left(x \right) F_{27}\! \left(x \right)
F_{241}\! \left(x \right) = F_{242}\! \left(x \right)
F_{242}\! \left(x \right) = F_{243}\! \left(x \right) F_{27}\! \left(x \right)
F_{243}\! \left(x \right) = F_{244}\! \left(x \right)+F_{245}\! \left(x \right)
F_{244}\! \left(x \right) = F_{227}\! \left(x \right)
F_{245}\! \left(x \right) = F_{246}\! \left(x \right)
F_{246}\! \left(x \right) = F_{124}\! \left(x \right) F_{247}\! \left(x \right) F_{27}\! \left(x \right)
F_{247}\! \left(x \right) = F_{238}\! \left(x \right)+F_{248}\! \left(x \right)
F_{248}\! \left(x \right) = F_{239}\! \left(x \right)
F_{249}\! \left(x \right) = F_{250}\! \left(x \right)+F_{253}\! \left(x \right)
F_{250}\! \left(x \right) = F_{251}\! \left(x \right)
F_{251}\! \left(x \right) = F_{130}\! \left(x \right)+F_{155}\! \left(x \right)+F_{252}\! \left(x \right)
F_{252}\! \left(x \right) = F_{251}\! \left(x \right) F_{27}\! \left(x \right)
F_{253}\! \left(x \right) = F_{254}\! \left(x \right)+F_{257}\! \left(x \right)
F_{254}\! \left(x \right) = F_{255}\! \left(x \right)
F_{255}\! \left(x \right) = F_{130}\! \left(x \right)+F_{133}\! \left(x \right)+F_{256}\! \left(x \right)
F_{256}\! \left(x \right) = F_{255}\! \left(x \right) F_{27}\! \left(x \right)
F_{257}\! \left(x \right) = F_{258}\! \left(x \right)
F_{258}\! \left(x \right) = F_{130}\! \left(x \right)+F_{201}\! \left(x \right)+F_{259}\! \left(x \right)+F_{261}\! \left(x \right)
F_{259}\! \left(x \right) = F_{260}\! \left(x \right) F_{27}\! \left(x \right)
F_{260}\! \left(x \right) = F_{251}\! \left(x \right)+F_{258}\! \left(x \right)
F_{261}\! \left(x \right) = F_{262}\! \left(x \right) F_{27}\! \left(x \right)
F_{262}\! \left(x \right) = F_{255}\! \left(x \right)+F_{258}\! \left(x \right)
F_{263}\! \left(x \right) = \frac{F_{264}\! \left(x \right)}{F_{27}\! \left(x \right)}
F_{264}\! \left(x \right) = F_{265}\! \left(x \right)
F_{265}\! \left(x \right) = F_{266}\! \left(x \right) F_{27}\! \left(x \right) F_{36}\! \left(x \right)
F_{266}\! \left(x \right) = \frac{F_{267}\! \left(x \right)}{F_{27}\! \left(x \right) F_{93}\! \left(x \right)}
F_{267}\! \left(x \right) = F_{39}\! \left(x \right)
F_{268}\! \left(x \right) = F_{269}\! \left(x \right)
F_{269}\! \left(x \right) = F_{27}\! \left(x \right) F_{270}\! \left(x \right)
F_{270}\! \left(x \right) = F_{247}\! \left(x \right)+F_{271}\! \left(x \right)
F_{271}\! \left(x \right) = F_{272}\! \left(x \right)
F_{272}\! \left(x \right) = F_{27}\! \left(x \right) F_{273}\! \left(x \right)
F_{273}\! \left(x \right) = F_{274}\! \left(x \right)+F_{296}\! \left(x \right)
F_{274}\! \left(x \right) = F_{275}\! \left(x \right)+F_{278}\! \left(x \right)
F_{275}\! \left(x \right) = F_{276}\! \left(x \right)
F_{276}\! \left(x \right) = F_{277}\! \left(x \right) F_{4}\! \left(x \right)
F_{277}\! \left(x \right) = F_{1}\! \left(x \right)+F_{235}\! \left(x \right)
F_{278}\! \left(x \right) = F_{279}\! \left(x \right)
F_{279}\! \left(x \right) = F_{124}\! \left(x \right) F_{27}\! \left(x \right) F_{280}\! \left(x \right)
F_{280}\! \left(x \right) = -F_{273}\! \left(x \right)+F_{281}\! \left(x \right)
F_{281}\! \left(x \right) = \frac{F_{282}\! \left(x \right)}{F_{27}\! \left(x \right)}
F_{282}\! \left(x \right) = F_{283}\! \left(x \right)
F_{283}\! \left(x \right) = \frac{F_{284}\! \left(x \right)}{F_{124}\! \left(x \right) F_{27}\! \left(x \right) F_{48}\! \left(x \right)}
F_{284}\! \left(x \right) = F_{285}\! \left(x \right)
F_{285}\! \left(x \right) = F_{27}\! \left(x \right) F_{286}\! \left(x \right) F_{48}\! \left(x \right)
F_{286}\! \left(x \right) = F_{287}\! \left(x \right)+F_{295}\! \left(x \right)
F_{287}\! \left(x \right) = F_{288}\! \left(x \right)+F_{291}\! \left(x \right)
F_{288}\! \left(x \right) = F_{289}\! \left(x \right)
F_{289}\! \left(x \right) = F_{290}\! \left(x \right) F_{66}\! \left(x \right)
F_{290}\! \left(x \right) = F_{235}\! \left(x \right)+F_{277}\! \left(x \right)
F_{291}\! \left(x \right) = F_{292}\! \left(x \right)
F_{292}\! \left(x \right) = -F_{293}\! \left(x \right)+F_{64}\! \left(x \right)
F_{293}\! \left(x \right) = F_{294}\! \left(x \right)
F_{294}\! \left(x \right) = F_{277}\! \left(x \right) F_{65}\! \left(x \right)
F_{295}\! \left(x \right) = F_{292}\! \left(x \right)
F_{296}\! \left(x \right) = F_{297}\! \left(x \right)
F_{297}\! \left(x \right) = -F_{4}\! \left(x \right)+F_{274}\! \left(x \right)
F_{298}\! \left(x \right) = F_{299}\! \left(x \right)
F_{299}\! \left(x \right) = F_{27}\! \left(x \right) F_{300}\! \left(x \right)
F_{300}\! \left(x \right) = F_{301}\! \left(x \right)+F_{303}\! \left(x \right)
F_{301}\! \left(x \right) = F_{302}\! \left(x \right)
F_{302}\! \left(x \right) = F_{27}\! \left(x \right) F_{280}\! \left(x \right)
F_{303}\! \left(x \right) = \frac{F_{304}\! \left(x \right)}{F_{27}\! \left(x \right) F_{48}\! \left(x \right)}
F_{304}\! \left(x \right) = F_{305}\! \left(x \right)
F_{305}\! \left(x \right) = F_{27}\! \left(x \right) F_{306}\! \left(x \right)
F_{306}\! \left(x \right) = -F_{309}\! \left(x \right)+F_{307}\! \left(x \right)
F_{307}\! \left(x \right) = \frac{F_{308}\! \left(x \right)}{F_{27}\! \left(x \right)}
F_{308}\! \left(x \right) = F_{10}\! \left(x \right)
F_{309}\! \left(x \right) = F_{0}\! \left(x \right) F_{7}\! \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_27(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_6(x))
Eq(F_6(x), F_27(x)*F_7(x))
Eq(F_7(x), F_298(x) + F_8(x))
Eq(F_8(x), F_268(x) + F_9(x))
Eq(F_9(x), F_10(x) + F_4(x))
Eq(F_10(x), F_11(x))
Eq(F_11(x), F_12(x)*F_27(x))
Eq(F_12(x), F_13(x) + F_263(x))
Eq(F_13(x), F_0(x)*F_14(x))
Eq(F_14(x), F_15(x)/F_27(x))
Eq(F_15(x), F_16(x))
Eq(F_16(x), F_17(x))
Eq(F_17(x), F_18(x)*F_27(x))
Eq(F_18(x), F_19(x) + F_20(x))
Eq(F_19(x), F_0(x)*F_4(x))
Eq(F_20(x), F_21(x))
Eq(F_21(x), F_22(x)*F_27(x)*F_48(x))
Eq(F_22(x), F_23(x)/(F_27(x)*F_93(x)))
Eq(F_23(x), F_24(x))
Eq(F_24(x), F_25(x) - F_28(x))
Eq(F_25(x), F_26(x)/F_27(x))
Eq(F_26(x), F_5(x))
Eq(F_27(x), x)
Eq(F_28(x), F_29(x) + F_34(x))
Eq(F_29(x), F_30(x))
Eq(F_30(x), F_0(x)*F_31(x))
Eq(F_31(x), F_0(x) + F_32(x))
Eq(F_32(x), F_33(x))
Eq(F_33(x), F_25(x)*F_27(x))
Eq(F_34(x), F_35(x))
Eq(F_35(x), F_27(x)*F_36(x)*F_37(x))
Eq(F_36(x), F_7(x) - F_9(x))
Eq(F_37(x), F_38(x)/F_27(x))
Eq(F_38(x), F_39(x))
Eq(F_39(x), F_40(x) - F_45(x))
Eq(F_40(x), F_41(x)/F_27(x))
Eq(F_41(x), F_42(x))
Eq(F_42(x), F_43(x))
Eq(F_43(x), F_27(x)*F_44(x))
Eq(F_44(x), F_16(x) + F_42(x))
Eq(F_45(x), F_46(x) - F_48(x))
Eq(F_46(x), F_47(x)/F_27(x))
Eq(F_47(x), F_2(x))
Eq(F_48(x), F_0(x) + F_49(x))
Eq(F_49(x), F_50(x))
Eq(F_50(x), F_27(x)*F_51(x))
Eq(F_51(x), F_52(x)/F_134(x))
Eq(F_52(x), F_53(x) - F_62(x))
Eq(F_53(x), F_54(x)/F_27(x))
Eq(F_54(x), F_55(x))
Eq(F_55(x), F_56(x)/F_27(x))
Eq(F_56(x), F_57(x))
Eq(F_57(x), F_58(x) - F_60(x))
Eq(F_58(x), F_59(x)/F_27(x))
Eq(F_59(x), F_2(x))
Eq(F_60(x), F_61(x))
Eq(F_61(x), F_0(x)**2)
Eq(F_62(x), F_122(x)*F_63(x))
Eq(F_63(x), F_121(x) + F_64(x))
Eq(F_64(x), F_65(x) + F_96(x))
Eq(F_65(x), F_0(x) + F_66(x))
Eq(F_66(x), F_67(x))
Eq(F_67(x), F_27(x)*F_68(x))
Eq(F_68(x), F_69(x) + F_71(x))
Eq(F_69(x), F_70(x))
Eq(F_70(x), F_0(x)*F_65(x))
Eq(F_71(x), F_72(x))
Eq(F_72(x), F_27(x)*F_48(x)*F_73(x))
Eq(F_73(x), F_74(x))
Eq(F_74(x), F_27(x)*F_75(x)*F_93(x))
Eq(F_75(x), F_76(x)/(F_27(x)*F_93(x)**2))
Eq(F_76(x), F_77(x))
Eq(F_77(x), F_78(x))
Eq(F_78(x), F_27(x)*F_79(x)*F_93(x)**2)
Eq(F_79(x), F_80(x)/(F_27(x)*F_93(x)))
Eq(F_80(x), F_81(x))
Eq(F_81(x), F_82(x)/F_27(x))
Eq(F_82(x), F_83(x))
Eq(F_83(x), F_84(x) - F_86(x))
Eq(F_84(x), F_85(x)/F_27(x))
Eq(F_85(x), F_42(x))
Eq(F_86(x), F_87(x))
Eq(F_87(x), F_27(x)*F_88(x))
Eq(F_88(x), F_68(x) + F_89(x))
Eq(F_89(x), F_90(x))
Eq(F_90(x), F_27(x)*F_91(x))
Eq(F_91(x), F_77(x) + F_92(x))
Eq(F_92(x), F_68(x)*F_93(x))
Eq(F_93(x), F_1(x) + F_94(x))
Eq(F_94(x), F_95(x))
Eq(F_95(x), F_27(x)*F_93(x))
Eq(F_96(x), F_97(x))
Eq(F_97(x), F_27(x)*F_98(x))
Eq(F_98(x), -F_101(x) + F_99(x))
Eq(F_99(x), F_100(x)/F_27(x))
Eq(F_100(x), F_36(x))
Eq(F_101(x), F_102(x)/F_93(x))
Eq(F_102(x), F_103(x))
Eq(F_103(x), F_104(x) - F_119(x))
Eq(F_104(x), F_105(x)/F_27(x))
Eq(F_105(x), F_106(x))
Eq(F_106(x), F_107(x) - F_116(x))
Eq(F_107(x), F_108(x) + F_115(x))
Eq(F_108(x), F_109(x))
Eq(F_109(x), F_110(x)*F_93(x))
Eq(F_110(x), F_111(x)/F_93(x))
Eq(F_111(x), F_112(x))
Eq(F_112(x), -F_113(x) + F_91(x))
Eq(F_113(x), F_114(x))
Eq(F_114(x), F_27(x)*F_77(x))
Eq(F_115(x), F_114(x))
Eq(F_116(x), F_117(x))
Eq(F_117(x), F_110(x) + F_118(x))
Eq(F_118(x), F_63(x)*F_94(x))
Eq(F_119(x), F_120(x))
Eq(F_120(x), F_27(x)*F_75(x)*F_93(x)*F_94(x))
Eq(F_121(x), F_96(x))
Eq(F_122(x), F_123(x))
Eq(F_123(x), F_124(x)*F_27(x)*F_51(x))
Eq(F_124(x), F_125(x) + F_93(x))
Eq(F_125(x), F_126(x) + F_129(x))
Eq(F_126(x), F_127(x))
Eq(F_127(x), F_128(x)*F_27(x))
Eq(F_128(x), F_1(x) + F_126(x))
Eq(F_129(x), F_130(x) + F_131(x) + F_133(x))
Eq(F_130(x), 0)
Eq(F_131(x), F_132(x)*F_27(x))
Eq(F_132(x), F_129(x) + F_94(x))
Eq(F_133(x), F_125(x)*F_27(x))
Eq(F_134(x), F_135(x)/F_27(x))
Eq(F_135(x), F_136(x))
Eq(F_136(x), F_137(x)*F_27(x))
Eq(F_137(x), F_138(x) + F_220(x))
Eq(F_138(x), F_139(x))
Eq(F_139(x), F_140(x) + F_216(x))
Eq(F_140(x), F_141(x) + F_170(x))
Eq(F_141(x), F_142(x) + F_145(x))
Eq(F_142(x), F_1(x) + F_143(x))
Eq(F_143(x), F_144(x))
Eq(F_144(x), F_27(x)*F_93(x)**2)
Eq(F_145(x), F_146(x) + F_94(x))
Eq(F_146(x), F_130(x) + F_147(x) + F_149(x))
Eq(F_147(x), F_148(x)*F_27(x))
Eq(F_148(x), F_143(x) + F_146(x))
Eq(F_149(x), F_150(x)*F_27(x))
Eq(F_150(x), F_151(x) + F_156(x))
Eq(F_151(x), F_152(x) + F_94(x))
Eq(F_152(x), F_130(x) + F_153(x) + F_155(x))
Eq(F_153(x), F_154(x)*F_27(x))
Eq(F_154(x), F_152(x) + F_94(x))
Eq(F_155(x), F_151(x)*F_27(x))
Eq(F_156(x), F_157(x) + F_161(x))
Eq(F_157(x), F_130(x) + F_158(x) + F_160(x))
Eq(F_158(x), F_159(x)*F_27(x))
Eq(F_159(x), F_157(x) + F_27(x))
Eq(F_160(x), F_27(x)*F_94(x))
Eq(F_161(x), F_130(x) + F_162(x) + F_168(x) + F_169(x))
Eq(F_162(x), F_163(x)*F_27(x))
Eq(F_163(x), F_161(x) + F_164(x))
Eq(F_164(x), F_130(x) + F_165(x) + F_166(x))
Eq(F_165(x), F_27(x)*F_94(x))
Eq(F_166(x), F_167(x)*F_27(x))
Eq(F_167(x), F_164(x) + F_27(x))
Eq(F_168(x), F_152(x)*F_27(x))
Eq(F_169(x), F_156(x)*F_27(x))
Eq(F_170(x), F_171(x) + F_187(x))
Eq(F_171(x), F_126(x) + F_172(x))
Eq(F_172(x), F_130(x) + F_173(x) + F_175(x))
Eq(F_173(x), F_174(x)*F_27(x))
Eq(F_174(x), F_143(x) + F_172(x))
Eq(F_175(x), F_176(x)*F_27(x))
Eq(F_176(x), F_125(x) + F_177(x))
Eq(F_177(x), F_178(x) + F_182(x))
Eq(F_178(x), F_130(x) + F_179(x) + F_181(x))
Eq(F_179(x), F_180(x)*F_27(x))
Eq(F_180(x), F_178(x) + F_27(x))
Eq(F_181(x), F_126(x)*F_27(x))
Eq(F_182(x), F_130(x) + F_183(x) + F_185(x) + F_186(x))
Eq(F_183(x), F_184(x)*F_27(x))
Eq(F_184(x), F_164(x) + F_182(x))
Eq(F_185(x), F_129(x)*F_27(x))
Eq(F_186(x), F_177(x)*F_27(x))
Eq(F_187(x), F_129(x) + F_188(x))
Eq(F_188(x), F_130(x) + F_189(x) + F_191(x) + F_193(x))
Eq(F_189(x), F_190(x)*F_27(x))
Eq(F_190(x), F_146(x) + F_188(x))
Eq(F_191(x), F_192(x)*F_27(x))
Eq(F_192(x), F_172(x) + F_188(x))
Eq(F_193(x), F_194(x)*F_27(x))
Eq(F_194(x), F_195(x) + F_202(x))
Eq(F_195(x), F_129(x) + F_196(x))
Eq(F_196(x), F_130(x) + F_197(x) + F_199(x) + F_201(x))
Eq(F_197(x), F_198(x)*F_27(x))
Eq(F_198(x), F_152(x) + F_196(x))
Eq(F_199(x), F_200(x)*F_27(x))
Eq(F_200(x), F_129(x) + F_196(x))
Eq(F_201(x), F_195(x)*F_27(x))
Eq(F_202(x), F_203(x) + F_209(x))
Eq(F_203(x), F_130(x) + F_204(x) + F_206(x) + F_208(x))
Eq(F_204(x), F_205(x)*F_27(x))
Eq(F_205(x), F_157(x) + F_203(x))
Eq(F_206(x), F_207(x)*F_27(x))
Eq(F_207(x), F_178(x) + F_203(x))
Eq(F_208(x), F_129(x)*F_27(x))
Eq(F_209(x), F_130(x) + F_210(x) + F_212(x) + F_214(x) + F_215(x))
Eq(F_210(x), F_211(x)*F_27(x))
Eq(F_211(x), F_161(x) + F_209(x))
Eq(F_212(x), F_213(x)*F_27(x))
Eq(F_213(x), F_182(x) + F_209(x))
Eq(F_214(x), F_196(x)*F_27(x))
Eq(F_215(x), F_202(x)*F_27(x))
Eq(F_216(x), F_2(x)*F_217(x))
Eq(F_217(x), F_218(x) + F_219(x))
Eq(F_218(x), F_151(x) + F_93(x))
Eq(F_219(x), F_125(x) + F_195(x))
Eq(F_220(x), F_221(x))
Eq(F_221(x), F_124(x)*F_222(x)*F_27(x))
Eq(F_222(x), F_220(x) + F_223(x))
Eq(F_223(x), F_224(x) - F_249(x))
Eq(F_224(x), F_225(x)/F_27(x))
Eq(F_225(x), F_226(x))
Eq(F_226(x), F_227(x) - F_241(x))
Eq(F_227(x), F_228(x) - F_237(x))
Eq(F_228(x), F_229(x)/F_27(x))
Eq(F_229(x), F_230(x))
Eq(F_230(x), -F_231(x) + F_4(x))
Eq(F_231(x), F_232(x))
Eq(F_232(x), F_0(x) + F_233(x))
Eq(F_233(x), F_2(x) + F_234(x))
Eq(F_234(x), F_143(x)*F_235(x))
Eq(F_235(x), F_236(x))
Eq(F_236(x), F_124(x)*F_27(x))
Eq(F_237(x), F_18(x) - F_238(x))
Eq(F_238(x), F_239(x) + F_4(x))
Eq(F_239(x), F_240(x))
Eq(F_240(x), F_22(x)*F_27(x))
Eq(F_241(x), F_242(x))
Eq(F_242(x), F_243(x)*F_27(x))
Eq(F_243(x), F_244(x) + F_245(x))
Eq(F_244(x), F_227(x))
Eq(F_245(x), F_246(x))
Eq(F_246(x), F_124(x)*F_247(x)*F_27(x))
Eq(F_247(x), F_238(x) + F_248(x))
Eq(F_248(x), F_239(x))
Eq(F_249(x), F_250(x) + F_253(x))
Eq(F_250(x), F_251(x))
Eq(F_251(x), F_130(x) + F_155(x) + F_252(x))
Eq(F_252(x), F_251(x)*F_27(x))
Eq(F_253(x), F_254(x) + F_257(x))
Eq(F_254(x), F_255(x))
Eq(F_255(x), F_130(x) + F_133(x) + F_256(x))
Eq(F_256(x), F_255(x)*F_27(x))
Eq(F_257(x), F_258(x))
Eq(F_258(x), F_130(x) + F_201(x) + F_259(x) + F_261(x))
Eq(F_259(x), F_260(x)*F_27(x))
Eq(F_260(x), F_251(x) + F_258(x))
Eq(F_261(x), F_262(x)*F_27(x))
Eq(F_262(x), F_255(x) + F_258(x))
Eq(F_263(x), F_264(x)/F_27(x))
Eq(F_264(x), F_265(x))
Eq(F_265(x), F_266(x)*F_27(x)*F_36(x))
Eq(F_266(x), F_267(x)/(F_27(x)*F_93(x)))
Eq(F_267(x), F_39(x))
Eq(F_268(x), F_269(x))
Eq(F_269(x), F_27(x)*F_270(x))
Eq(F_270(x), F_247(x) + F_271(x))
Eq(F_271(x), F_272(x))
Eq(F_272(x), F_27(x)*F_273(x))
Eq(F_273(x), F_274(x) + F_296(x))
Eq(F_274(x), F_275(x) + F_278(x))
Eq(F_275(x), F_276(x))
Eq(F_276(x), F_277(x)*F_4(x))
Eq(F_277(x), F_1(x) + F_235(x))
Eq(F_278(x), F_279(x))
Eq(F_279(x), F_124(x)*F_27(x)*F_280(x))
Eq(F_280(x), -F_273(x) + F_281(x))
Eq(F_281(x), F_282(x)/F_27(x))
Eq(F_282(x), F_283(x))
Eq(F_283(x), F_284(x)/(F_124(x)*F_27(x)*F_48(x)))
Eq(F_284(x), F_285(x))
Eq(F_285(x), F_27(x)*F_286(x)*F_48(x))
Eq(F_286(x), F_287(x) + F_295(x))
Eq(F_287(x), F_288(x) + F_291(x))
Eq(F_288(x), F_289(x))
Eq(F_289(x), F_290(x)*F_66(x))
Eq(F_290(x), F_235(x) + F_277(x))
Eq(F_291(x), F_292(x))
Eq(F_292(x), -F_293(x) + F_64(x))
Eq(F_293(x), F_294(x))
Eq(F_294(x), F_277(x)*F_65(x))
Eq(F_295(x), F_292(x))
Eq(F_296(x), F_297(x))
Eq(F_297(x), F_274(x) - F_4(x))
Eq(F_298(x), F_299(x))
Eq(F_299(x), F_27(x)*F_300(x))
Eq(F_300(x), F_301(x) + F_303(x))
Eq(F_301(x), F_302(x))
Eq(F_302(x), F_27(x)*F_280(x))
Eq(F_303(x), F_304(x)/(F_27(x)*F_48(x)))
Eq(F_304(x), F_305(x))
Eq(F_305(x), F_27(x)*F_306(x))
Eq(F_306(x), F_307(x) - F_309(x))
Eq(F_307(x), F_308(x)/F_27(x))
Eq(F_308(x), F_10(x))
Eq(F_309(x), F_0(x)*F_7(x))
Pack JSON:
{"name": "requirement_placements", "initial_strats": [{"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [], "symmetry": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementInsertionFactory", "ignore_parent": false, "maxreqlen": 2, "extra_basis": [], "limited_insertion": true, "allow_factorable_insertions": true}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 1, 4, 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], [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, 1, 4, 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], [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], [0, 0], [2, 0]]}, {"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], [0, 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, 1, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[2, 0], [2, 0], [2, 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": [[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": [[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, 1, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1, 4, 3], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 1, 4, 3], "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], [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], [0, 0], [1, 0]]}, {"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], [0, 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, 1, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[1, 0], [1, 0], [1, 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": [[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": [[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, 1, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1, 4, 3], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 1, 4, 3], "pos": [[1, 0], [1, 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