$MaxExtraPrecision = 500;
NumDigits=400;
Clear[M0,M1,M2,M4,M5,M6,rho,a,theta,NN,C1,C2,C3,C4,C5];
(* theta[t_]:=(t/2)Log[t/(2Pi E)]-Pi/8+1/(48t) *)
theta[t_]:=N[RiemannSiegelTheta[t],NumDigits]
NN[t_]:=Floor[Sqrt[t/(2Pi)]]

C00[x_]:=Cos[2Pi(x^2-x-1/16)]/Cos[2Pi x]
C0[x_]=Normal[N[Series[C00[x],{x,1/2,350}],NumDigits]];
(* C0[x_]:=Cos[2Pi(x^2-x-1/16)]/Cos[2Pi x] *)

C1[x_]:=(-1/(96Pi^2))Derivative[3][C0][x]

C2[x_]:=(1/(18432Pi^4))Derivative[6][C0][x]+(1/(64Pi^2))Derivative[2][C0][x]

C3[x_]:=(-1/(5308416Pi^6))Derivative[9][C0][x]-(1/(3840Pi^4))Derivative[5][C0][x]-(1/(64Pi^2))Derivative[1][C0][x]

C4[x_]:=(1/(2038431744Pi^8))Derivative[12][C0][x]+(11/(5898240Pi^6))Derivative[8][C0][x]+(19/(24576Pi^4))Derivative[4][C0][x]+(1/(128Pi^2))C0[x]

C5[x_]:=(-1/(978447237120*Pi^10))Derivative[15][C0][x]-(7/(849346560Pi^8))Derivative[11][C0][x]-(901/(82575360Pi^6))Derivative[7][C0][x]-(5/(3072Pi^4))*Derivative[3][C0][x]

C6[x_]:=1/563585608581120/Pi^12*Derivative[18][C0][x]+18889/237817036800/Pi^8Derivative[10][C0][x]+17/652298158080/Pi^10*Derivative[14][C0][x]+367/7864320/Pi^6*Derivative[6][C0][x]+5/2048/Pi^4*Derivative[2][C0][x]

C7[x_]:=-5/2048/Pi^4*Derivative[1][C0][x]-407/2621440/Pi^6*Derivative[5][C0][x]-6649/11890851840/Pi^8*Derivative[9][C0][x]-2131/5707608883200/Pi^10*Derivative[13][C0][x]-1/15655155793920/Pi^12*Derivative[17][C0][x]-1/378729528966512640/Pi^14*Derivative[21][C0][x]

C8[x_]:=1/290864278246281707520/Pi^16*Derivative[24][C0][x]+11153/8766887244595200/Pi^12*Derivative[16][C0][x]+26405/8455716864/Pi^8*Derivative[8][C0][x]+427/1048576/Pi^6*Derivative[4][C0][x]+41/32768/Pi^4*Derivative[0][C0][x]+88651/22830435532800/Pi^10*Derivative[12][C0][x]+23/180347394745958400/Pi^14*Derivative[20][C0][x]

C9[x_]:=-13/60596724634642022400/Pi^16*Derivative[23][C0][x]-8503/2524863526443417600/Pi^14*Derivative[19][C0][x]-1/251306736404787395297280/Pi^18*Derivative[27][C0][x]-3781/264241152/Pi^8*Derivative[7][C0][x]-66727/3652869685248000/Pi^12*Derivative[15][C0][x]-21543701/669692775628800/Pi^10*Derivative[11][C0][x]-2603/3145728/Pi^6*Derivative[3][C0][x]

C10[x_]:=1/241254466948595899485388800/Pi^20*Derivative[30][C0][x]+29/93076569038810146406400/Pi^18*Derivative[26][C0][x]+703/96954759415427235840/Pi^16*Derivative[22][C0][x]+229787/3606947894919168000/Pi^14*Derivative[18][C0][x]+2320279/11111939388211200/Pi^12*Derivative[14][C0][x]+26988341/121762322841600/Pi^10*Derivative[10][C0][x]+32851/603979776/Pi^8*Derivative[6][C0][x]+2603/2097152/Pi^6*Derivative[2][C0][x]

C11[x_]:=-1/254764717097717269856570572800/Pi^22*Derivative[33][C0][x]-1/2513067364047873952972800/Pi^20*Derivative[29][C0][x]-6103/465382845194050732032000/Pi^18*Derivative[25][C0][x]-52889/302983623173210112000/Pi^16*Derivative[21][C0][x]-413542091/432032203413651456000/Pi^14*Derivative[17][C0][x]-13891121/6964804866539520/Pi^12*Derivative[13][C0][x]-31587481/24352464568320/Pi^10*Derivative[9][C0][x]-5377/31457280/Pi^8*Derivative[5][C0][x]-2603/2097152/Pi^6*Derivative[1][C0][x]

C12[x_]:=1/293488954096570294874769299865600/Pi^24*Derivative[36][C0][x]+1/2205755126387162509580697600/Pi^22*Derivative[32][C0][x]+229741/11258541790934475309318144000/Pi^20*Derivative[28][C0][x]+40459/103418410043122384896000/Pi^18*Derivative[24][C0][x]+8283026179/2488505491662632386560000/Pi^16*Derivative[20][C0][x]+135149833261/11232837288754937856000/Pi^14*Derivative[16][C0][x]+1681009907/102864810336583680/Pi^12*Derivative[12][C0][x]+7040165/1082331758592/Pi^10*Derivative[8][C0][x]+351937/805306368/Pi^8*Derivative[4][C0][x]+2643/4194304/Pi^6*Derivative[0][C0][x]

C13[x_]:=-1/366274214712519728003712086232268800/Pi^26*Derivative[39][C0][x]-19/40762354735634763177051291648000/Pi^24*Derivative[35][C0][x]-30073/1080820011929709629694541824000/Pi^22*Derivative[31][C0][x]-37117/50261347280957479059456000/Pi^20*Derivative[27][C0][x]-733972733/79632175733204236369920000/Pi^18*Derivative[23][C0][x]-7804440109/147048051780064641024000/Pi^16*Derivative[19][C0][x]-2927256839861/22465674577509875712000/Pi^14*Derivative[15][C0][x]-71350619/612290537717760/Pi^12*Derivative[11][C0][x]-15136141/541165879296/Pi^10*Derivative[7][C0][x]-88645/100663296/Pi^8*Derivative[3][C0][x]

C14[x_]:=1/492272544573626514436989043896169267200/Pi^28*Derivative[42][C0][x]+41/93916465310902494359926175956992000/Pi^26*Derivative[38][C0][x]+76997/2282691865195546737914872332288000/Pi^24*Derivative[34][C0][x]+12975523/10808200119297096296945418240000/Pi^22*Derivative[30][C0][x]+965416409/45868133222325640149073920000/Pi^20*Derivative[26][C0][x]+4636378387/25560945297077903032320000/Pi^18*Derivative[22][C0][x]+1890353754197/2588045711329137682022400/Pi^16*Derivative[18][C0][x]+3706405599341/2995423277001316761600/Pi^14*Derivative[14][C0][x]+227026787/311711546474496/Pi^12*Derivative[10][C0][x]+1760589/17179869184/Pi^10*Derivative[6][C0][x]+88645/67108864/Pi^8*Derivative[2][C0][x]

C15[x_]:=-1/708872464186022180789264223210483744768000/Pi^30*Derivative[45][C0][x]-1/2663812470636507112754269718052864000/Pi^28*Derivative[41][C0][x]-12091/328707628588158730259741615849472000/Pi^26*Derivative[37][C0][x]-1626689/951121610498144474131196805120000/Pi^24*Derivative[33][C0][x]-57588919/1415359539431762610314280960000/Pi^22*Derivative[29][C0][x]-266385863291/532397974901994037444608000000/Pi^20*Derivative[25][C0][x]-67005059927041/21739583975164756528988160000/Pi^18*Derivative[21][C0][x]-10813807654843/1222132697016537238732800/Pi^16*Derivative[17][C0][x]-636513428063/61131087285741158400/Pi^14*Derivative[13][C0][x]-623025521/155855773237248/Pi^12*Derivative[9][C0][x]-5423599/17179869184/Pi^10*Derivative[5][C0][x]-88645/67108864/Pi^8*Derivative[1][C0][x]


C16[x_]:=1/1088828104989730069692309846851303031963648000/Pi^32*Derivative[48][C0][x]+14791276170907/12879771808829039753859956736000000/Pi^22*Derivative[28][C0][x]+47/157527214263560484619836494046774165504000/Pi^30*Derivative[44][C0][x]+689419697/10145297178646874390732765921280000/Pi^24*Derivative[32][C0][x]+3558451/1643538142940793651298708079247360000/Pi^26*Derivative[36][C0][x]+597829/16409084819120883814566301463205642240000/Pi^28*Derivative[40][C0][x]+171428318337113/16696000492926533014262906880000/Pi^20*Derivative[24][C0][x]+101606710201727/2199838854629767029719040000/Pi^18*Derivative[20][C0][x]+39964483534567/418270013952183867801600/Pi^16*Derivative[16][C0][x]+5325890905/277076930199552/Pi^12*Derivative[8][C0][x]+1430331/2147483648/Pi^8*Derivative[0][C0][x]+27472575/34359738368/Pi^10*Derivative[4][C0][x]+1713640689847/21944492871804518400/Pi^14*Derivative[12][C0][x]

C17[x_]:=-1/1776967467343239473737849670061326548164673536000/Pi^34*Derivative[51][C0][x]-67671121804409/363887190230450078515986432000/Pi^20*Derivative[23][C0][x]-10083888217423369/360633610647213113108078788608000000/Pi^22*Derivative[27][C0][x]-1324731205785781561/2140003237783837366510682112000/Pi^18*Derivative[19][C0][x]-925260744047/412152697882529272123518615552000000/Pi^24*Derivative[31][C0][x]-1/4536783770790541957051291028547095966515200/Pi^32*Derivative[47][C0][x]-10190242393/102264595560760493858586280486502400000/Pi^26*Derivative[35][C0][x]-333233812841177/359450793240158011392000/Pi^16*Derivative[15][C0][x]-49760215/618475290624/Pi^12*Derivative[7][C0][x]-3826723197569/7314830957268172800/Pi^14*Derivative[11][C0][x]-52049/1575272142635604846198364940467741655040000/Pi^30*Derivative[43][C0][x]-110367077/68719476736/Pi^10*Derivative[3][C0][x]-1443721/586038743540031564805939337971630080000/Pi^28*Derivative[39][C0][x]

C18[x_]:=1/3070599783569117810619004229865972275228555870208000/Pi^36*Derivative[54][C0][x]+11477389391/39582418599936/Pi^12*Derivative[6][C0][x]+4161111842369/1329969264957849600/Pi^14*Derivative[10][C0][x]+331101231/137438953472/Pi^10*Derivative[2][C0][x]+3581/129622393451158341630036886529917027614720000/Pi^32*Derivative[46][C0][x]+19096146496874115577/6327561573479250325298784868761600/Pi^20*Derivative[22][C0][x]+272932782402810773/454131213407601697987951067136000000/Pi^22*Derivative[26][C0][x]+53/348424993596713622301539150992416970228367360000/Pi^34*Derivative[50][C0][x]+7656650083/58904407042998044462545697560225382400000/Pi^28*Derivative[38][C0][x]+7230580164277/1899199631842694885945173780463616000000/Pi^26*Derivative[34][C0][x]+241041370593854591/32180499816298306263318528000/Pi^18*Derivative[18][C0][x]+3113597116844989/383414179456168545484800/Pi^16*Derivative[14][C0][x]+381571/150025918346248080590320470520737300480000/Pi^30*Derivative[42][C0][x]+2011889373174119/31473478747393144416705057914880000000/Pi^24*Derivative[30][C0][x]

C19[x_]:=-1/5600774005230070886569063715275533430016885907259392000/Pi^38*Derivative[57][C0][x]-7297531331/8246337208320/Pi^12*Derivative[5][C0][x]-2720936405041/478598307224359111258183792676831232000000/Pi^28*Derivative[37][C0][x]-97283/40506997953486981759386527040599071129600000/Pi^32*Derivative[45][C0][x]-4398444466419306149239/379653694408755019517927092125696000000/Pi^22*Derivative[25][C0][x]-22034669932747/342334088800150487040/Pi^16*Derivative[13][C0][x]-2060921248178380817/25029277634898682649247744000/Pi^18*Derivative[17][C0][x]-1/10154099813389939849930569543207580275226705920000/Pi^36*Derivative[53][C0][x]-13286752784477/797981558974709760/Pi^14*Derivative[9][C0][x]-15942404346669154811/359520543947684677573794594816000/Pi^20*Derivative[21][C0][x]-331101231/137438953472/Pi^10*Derivative[1][C0][x]-19697910771119761/12261542762005245845674678812672000000/Pi^24*Derivative[29][C0][x]-8325973944093053/66471987114494321008081082316226560000000/Pi^26*Derivative[33][C0][x]-4019/187613458090538104316213388995916830122967040000/Pi^34*Derivative[49][C0][x]-1245502283/8168077776629062165473003395017919692800000/Pi^30*Derivative[41][C0][x]

C20[x_]:=1/10753486090041736102212602333329024185632420941938032640000/Pi^40*Derivative[60][C0][x]+1039499/497749990852448031859341644274881386040524800000/Pi^34*Derivative[48][C0][x]+332727711/274877906944/Pi^10*Derivative[0][C0][x]+66540631045322715923177/1836916435027320286435538442540967526400000/Pi^24*Derivative[28][C0][x]+361888761444289010497/1786605620747082444790245139415040000/Pi^22*Derivative[24][C0][x]+117753804989/52776558133248/Pi^12*Derivative[4][C0][x]+22411/1447420773399584153153739367613589624686861352960000/Pi^36*Derivative[52][C0][x]+2431103703048530417/2944620898223374429323264000/Pi^18*Derivative[16][C0][x]+59/982591930742117699398081353557111128073137878466560000/Pi^38*Derivative[56][C0][x]+311274631265011/674134821021834805248/Pi^16*Derivative[12][C0][x]+13899745416281/177329235327713280/Pi^14*Derivative[8][C0][x]+232544268738862214941/391314877766187404161953300480000/Pi^20*Derivative[20][C0][x]+1259995823308801/5890440704299804446254569756022538240000000/Pi^28*Derivative[36][C0][x]+50407933481/310517644756330427282621697065001235041484800000/Pi^32*Derivative[44][C0][x]+713214794639/94247051268796871140073116096360611840000000/Pi^30*Derivative[40][C0][x]+391261681973226653/107621312471086043536893180892938240000000/Pi^26*Derivative[32][C0][x]

C21[x_]:=-1/21679027957524139982060606303991312758234960618947073802240000/Pi^42*Derivative[63][C0][x]-5570357192224960859/736155224555843607330816000/Pi^18*Derivative[15][C0][x]-57365288739959/177329235327713280/Pi^14*Derivative[7][C0][x]-720737/68781435151948238957865694748997778965119651492659200000/Pi^38*Derivative[55][C0][x]-31/896123840836811341851050194444085348802701745161502720000/Pi^40*Derivative[59][C0][x]-2826980539/17885816337964632611479009750944071138389524480000/Pi^34*Derivative[47][C0][x]-52545964533487/17555594297443614720/Pi^16*Derivative[11][C0][x]-320760053834488133/45200951237856138285495135975034060800000000/Pi^28*Derivative[35][C0][x]-1600403017033/176430479975187742774216873332387065364480000000/Pi^32*Derivative[43][C0][x]-1247450971385734382249/1682157907534176086479430808187699200000/Pi^24*Derivative[27][C0][x]-1859981/1105668646346904561436884239149269852191352422400000/Pi^36*Derivative[51][C0][x]-29521633175/6597069766656/Pi^12*Derivative[3][C0][x]-2372610902945641/7351269998966155948925703055516127723520000000/Pi^30*Derivative[39][C0][x]-3496099209332973179/478881843420159410687705088000/Pi^20*Derivative[19][C0][x]-79369059386761906652327/24510975358319622312736345596887040000/Pi^22*Derivative[23][C0][x]-24554570255053941128141/259329379062680511026193662476371886080000000/Pi^26*Derivative[31][C0][x]

C22[x_]:=1/45786107046290983642112000514029652545392236827216219870330880000/Pi^44*Derivative[66][C0][x]+8923641924017551/510708197743814246400/Pi^16*Derivative[10][C0][x]+178780629527369598426119/846451093260589187989496114322877836165120000000/Pi^28*Derivative[34][C0][x]+58546154066959/50665495807918080/Pi^14*Derivative[6][C0][x]+371648912001524687/4505269974281762876864593920/Pi^20*Derivative[18][C0][x]+6226130829602878619/98154029940779147644108800/Pi^18*Derivative[14][C0][x]+5052758613658422313/416571966608082170439123173145913904332800000000/Pi^30*Derivative[38][C0][x]+901291339909/91254164989615472507545968117061587440762880000000/Pi^34*Derivative[46][C0][x]+4299496135453373/9880106878610513595356144906613675660410880000000/Pi^32*Derivative[42][C0][x]+1795576438925412427419077/801563535284648852262780411290604011520000000/Pi^26*Derivative[30][C0][x]+173559167/137562870303896477915731389497995557930239302985318400000/Pi^38*Derivative[54][C0][x]+98393/14759686790253363277546709084961405744985675802660044800000/Pi^40*Derivative[58][C0][x]+1/52940239212513162349354349948696734452344226175694929920000/Pi^42*Derivative[62][C0][x]+4054567999/28617306140743412178366415601510513821423239168000000/Pi^36*Derivative[50][C0][x]+26935428344847779307178517/1937347492321582947598680755977951641600000/Pi^24*Derivative[26][C0][x]+1927963565373552964655693/40496394070267202081912223160074240000/Pi^22*Derivative[22][C0][x]+29521633175/4398046511104/Pi^12*Derivative[2][C0][x]



C23[x_]:=-1/101095724358210491881783297134977472820226058914493413473690583040000/Pi^46*Derivative[69][C0][x]-16708436736713011/908884290781270190048996014136539427635200000000/Pi^32*Derivative[41][C0][x]-1/102018955094231246974402853195253236509340991147986229657600000/Pi^44*Derivative[65][C0][x]-6393582275993950525820483/26611916103318447082399460933763072000000/Pi^24*Derivative[25][C0][x]-317/79236213295044371279461280350845441367817838519543398400000/Pi^42*Derivative[61][C0][x]-10355736799087201/19562611619648816918805166915095077807613542400000000/Pi^34*Derivative[45][C0][x]-58671347491/5961938779321544203826336583648023712796508160000000/Pi^36*Derivative[49][C0][x]-55516729/62728668858576793929573513611085974416189122161305190400000/Pi^40*Derivative[57][C0][x]-2379888642367406984047693/3681490370024291098355656650915840000/Pi^22*Derivative[21][C0][x]-137606044329296535697/160187376863351568955185561600/Pi^20*Derivative[17][C0][x]-194716891331086771/400628693635833255690240/Pi^18*Derivative[13][C0][x]-1166683125310783/12767704943595356160/Pi^16*Derivative[9][C0][x]-498338963144256922749337/1218889574295248430704874404624944084077772800000000/Pi^30*Derivative[37][C0][x]-16116157136302318668877/2821503644201963959964987047742926120550400000/Pi^28*Derivative[33][C0][x]-2535011291/21555435517704576311581841659230073179952027533312000000/Pi^38*Derivative[53][C0][x]-59254673263159/16888498602639360/Pi^14*Derivative[5][C0][x]-29521633175/4398046511104/Pi^12*Derivative[1][C0][x]-1067352653787880246015129651/21969520562926750625769039772789971615744000000/Pi^26*Derivative[29][C0][x]

C24[x_]:=1/232924548921316973295628716598988097377800839738992824643383103324160000/Pi^48*Derivative[72][C0][x]+17600474787275881/30048171447780582787284736381586039512494401126400000000/Pi^36*Derivative[48][C0][x]+29906515332217/3311698729538248542415755673099893061283538775572480000000/Pi^38*Derivative[52][C0][x]+2850501313973601136131433/350618130478503914129110157230080000/Pi^22*Derivative[20][C0][x]+63047/27749155785630899177037576069108880330540749592252254466867200000/Pi^44*Derivative[64][C0][x]+59608932861259/6755399441055744/Pi^14*Derivative[4][C0][x]+2750355471252921343639748617/715328304857199857574897509899551375360000/Pi^24*Derivative[24][C0][x]+71/14651554254813114765475840164489488814525515784709190358505881600000/Pi^46*Derivative[68][C0][x]+1243965269762721062261/150764589989036770781351116800/Pi^20*Derivative[16][C0][x]+7380599397870353881/295612797808026566773055855605881175759493529600000000/Pi^34*Derivative[44][C0][x]+236905536669/70368744177664/Pi^12*Derivative[0][C0][x]+7715641629694279/18158513697557839872/Pi^16*Derivative[8][C0][x]+2348127652966480395644863/187521472968499758569980677634606782165811200000000/Pi^30*Derivative[36][C0][x]+3343469/5735192581355592587846721244442146232337291169033617408000000/Pi^42*Derivative[60][C0][x]+1465686354344956301/431446285453974275358720/Pi^18*Derivative[12][C0][x]+1231772013781/13558196497152036863374485748922442189604385702232981504000000/Pi^40*Derivative[56][C0][x]+3258927892402502276558891/4680535965293753973906717713759785282858647552000000000/Pi^32*Derivative[40][C0][x]+3187594286639813290092587771/22496789056436992640787496727336930934521856000000/Pi^28*Derivative[32][C0][x]+170940002795745517863577819709/175756164503414005006152318182319772925952000000/Pi^26*Derivative[28][C0][x]

C25[x_]:=-1/559018917411160735909508919837571433706722015373582779144119447977984000000/Pi^50*Derivative[75][C0][x]-35881/29303108509626229530951680328978977629051031569418380717011763200000/Pi^46*Derivative[67][C0][x]-540842726701/8243383470268438412931687335344844851279466506957652754432000000/Pi^42*Derivative[59][C0][x]-6209949290716067759/287630856969316183572480/Pi^18*Derivative[11][C0][x]-344335682002028021413/4711393437157399086917222400/Pi^20*Derivative[15][C0][x]-1141117/3153313157458056724663360916944190946652357908210483462144000000/Pi^44*Derivative[63][C0][x]-1119787815006901/1886100607799150427263411145182631403245802409164800000000/Pi^38*Derivative[51][C0][x]-301950454612171/39342980906914392683899177396426729568048440653801062400000000/Pi^40*Derivative[55][C0][x]-119454771259187/6755399441055744/Pi^14*Derivative[3][C0][x]-6555425528424660011704057/114635946291217925893413062483902464000/Pi^24*Derivative[23][C0][x]-986808553534757/567453553048682496/Pi^16*Derivative[7][C0][x]-133501322508785301719137/5572066625349707111793711563999744384355532800000000/Pi^32*Derivative[39][C0][x]-474174306125424327494051/449331452668200381495044900520939387154430164992000000000/Pi^34*Derivative[43][C0][x]-1074386516772452307087397919/330835133182896950599816128343190160801792000000/Pi^28*Derivative[31][C0][x]-21000134954581655704977408377/59675693076022338373457359739883227321047449600000000/Pi^30*Derivative[35][C0][x]-15709547934584968495671703099/869541939410829956740394895150623490048000000/Pi^26*Derivative[27][C0][x]-37/16175315897313678701085327541596395651236169426318946155790493286400000/Pi^48*Derivative[71][C0][x]-6652636059315683884892531/70123626095700782825822031446016000/Pi^22*Derivative[19][C0][x]-522027710642412343/17027297153742330246128017282898755723746827304960000000/Pi^36*Derivative[47][C0][x]

C26[x_]:=1/1395311217858257196830134263914578298531978150372462616743722142153048064000000/Pi^52*Derivative[78][C0][x]+43235242747462842252629741/54563562536781072278786995415678976000/Pi^24*Derivative[22][C0][x]+1084175587765885729019413/1054490617980462899636421525504000/Pi^22*Derivative[18][C0][x]+599374695670830162781/1005097266593578471875674112/Pi^20*Derivative[14][C0][x]+62229283/293031085096262295309516803289789776290510315694183807170117632000000/Pi^46*Derivative[66][C0][x]+32527575402239947/5358199255674484968405596767974149153331653229522474290380800000000/Pi^42*Derivative[58][C0][x]+16241870591/365245298374970809680665531166048510333613285231354460504064000000/Pi^44*Derivative[62][C0][x]+38186883220231513/68850216587100187196823560443746776744084771144151859200000000/Pi^40*Derivative[54][C0][x]+27202058218265349031146177239/87010694391986883260572328689536073728000000/Pi^26*Derivative[26][C0][x]+2671307733179081/432345564227567616/Pi^16*Derivative[6][C0][x]+2843569/4529088451247830036303891711646990782346127439369304923621338120192000000/Pi^48*Derivative[70][C0][x]+1298830030826815555/10459303889793315766272/Pi^18*Derivative[10][C0][x]+119454771259187/4503599627370496/Pi^14*Derivative[2][C0][x]+43709068264642835880601/1078827017210565141644765667517261433744130048000000000/Pi^34*Derivative[42][C0][x]+60654023606831564624891610337/877067799471227783266569073190523623178240000000/Pi^28*Derivative[30][C0][x]+32941730883941613360052037371/43539385668265898077274489666218802653436219228160000000/Pi^32*Derivative[38][C0][x]+1/967998125387291317592223237813976508583068424889320829686786922905600000/Pi^50*Derivative[74][C0][x]+1401724333754931317/40865513168981592590707241478957013736992385531904000000000/Pi^38*Derivative[50][C0][x]+4831360595529430712929/3361232684894589866768128087013780350661711364096000000000/Pi^36*Derivative[46][C0][x]+592392137156092873670302384583/64790752482538538805467990574730361091422945280000000/Pi^30*Derivative[34][C0][x]

C27[x_]:=-1/3616646676688602654183708012066586949794887365765423102599727792460700581888000000/Pi^54*Derivative[81][C0][x]-7717820112184509053/16074597767023454905216790303922447459994959688567422871142400000000/Pi^42*Derivative[57][C0][x]-11417257837/402199528563497268071885808436966359614425923501820911802122240000000/Pi^46*Derivative[65][C0][x]-23736797597230454281189/13378740311321973697388463056495465420356891755675648000000000/Pi^38*Derivative[49][C0][x]-627183678406362379/140220042772541639491584/Pi^20*Derivative[13][C0][x]-62980240325458502542080256028537/285079310923169570744059158528813588802260959232000000/Pi^30*Derivative[33][C0][x]-6718540003721120579/10459303889793315766272/Pi^18*Derivative[9][C0][x]-421124794911081/22517998136852480/Pi^16*Derivative[5][C0][x]-652945473682111180562107/63089182272335387157734621184000/Pi^22*Derivative[17][C0][x]-3185297/26958859828856131168475545902660659418726949043864910259650822144000000/Pi^48*Derivative[69][C0][x]-101494386318628954529648212577/20079391013535434598593614312969863168000000/Pi^26*Derivative[25][C0][x]-120264431390840893713489636311/5442423208533237259659311208277350331679527403520000000/Pi^32*Derivative[37][C0][x]-4282265175313636199720991737/2999842840301573838816998331069620852676945248256000000000/Pi^34*Derivative[41][C0][x]-1/2236075669644642943638035679350285734826888061494331116576477791911936000000/Pi^52*Derivative[77][C0][x]-119454771259187/4503599627370496/Pi^14*Derivative[1][C0][x]-72819059599427740742997700681/52989512884720011905688548171927468900352000000/Pi^28*Derivative[29][C0][x]-42151/137302891995723689521633769784666667927966810793511559789783724064768000000/Pi^50*Derivative[73][C0][x]-44118465157833370100491/4305836690086890173515387895808000/Pi^24*Derivative[21][C0][x]-256456456145249933/7285737204984146793314662480819764734823785306259456000000000/Pi^40*Derivative[53][C0][x]-108225460466237/24111896650535182357825185455883671189992439532851134306713600000000/Pi^44*Derivative[61][C0][x]-707065642302326707602919/11554237354325152667015440299109869955399632814080000000000/Pi^36*Derivative[45][C0][x]

C28[x_]:=1/9721546266938963934445807136434985721048657239177457299788068306134363164114944000000/Pi^56*Derivative[84][C0][x]+93983695088296530793/2820104871407623667581893035775867975437712226064460152832000000000/Pi^42*Derivative[56][C0][x]+65205677/1043501979167500040364416650363466676252547762030687854402356302892236800000/Pi^50*Derivative[72][C0][x]+1735612284888792033383587/868226731243550805065721698514329723919480847376326852608000000000/Pi^40*Derivative[52][C0][x]+122925371953698092389662720737/1606351281082834767887489145037589053440000/Pi^26*Derivative[24][C0][x]+356976880825630333105881170416561/71578355123566385727945589587321160824810110976000000/Pi^30*Derivative[32][C0][x]+58342327937613909463837312730333/1253934307246057864625505302387101516418963113771008000000000/Pi^34*Derivative[40][C0][x]+21653308853298053025311957/174967332168610140384117349416960000/Pi^24*Derivative[20][C0][x]+119707878153867/9007199254740992/Pi^14*Derivative[0][C0][x]+575584114204761698362988249617/240755386991243110008097018058323491152440917844033536000000000/Pi^36*Derivative[44][C0][x]+262891061/15354143406213509742533745950155066640719137009473022878621368320000000/Pi^48*Derivative[68][C0][x]+8453/58927170588282355220578822608760471129555638326438843542721297104502784000000/Pi^52*Derivative[76][C0][x]+531021559591844845242021233149399/884184447417092084030805020913981838500550913556480000000/Pi^32*Derivative[36][C0][x]+145689622764989/46782155690806787496782507191878718670941120575738116583299481600000000/Pi^46*Derivative[64][C0][x]+398656455767036787762485307139/15592316435044049480294561301164864412057600000/Pi^28*Derivative[28][C0][x]+628575899409810607/1624380405930791232527170388606899953852122242213129048031232000000000/Pi^44*Derivative[60][C0][x]+34441687605146342191/11621448766437017518080/Pi^18*Derivative[8][C0][x]+9331226021645596384683391/96489337592983533300064714752000/Pi^22*Derivative[16][C0][x]+27071441645568371/576460752303423488/Pi^16*Derivative[4][C0][x]+83/446499589714642302985642964452665055530233008119188037357991085488975380480000000/Pi^54*Derivative[80][C0][x]+173942536966154879028419/2087918656028639352533613682286207088411039529697280000000000/Pi^38*Derivative[48][C0][x]+150930679268573608729/4908899958942996199636992/Pi^20*Derivative[12][C0][x]

C29[x_]:=-1/27064784807158075593497127067835000247399461753870041122609982164278067048896004096000000/Pi^58*Derivative[87][C0][x]-4223/65799939536894655176831594761445376604455390670196131821177633651006898176000000/Pi^54*Derivative[79][C0][x]-7438336511495950357992119875356553/487335579936028824093002182579782387594601892413440000000/Pi^32*Derivative[35][C0][x]-70101590084343261077/5810724383218508759040/Pi^18*Derivative[7][C0][x]-43/578663468270176424669393281930653911967181978522467696415956446793712093102080000000/Pi^56*Derivative[83][C0][x]-19778934083/9720967416271540259071689806104668814741012067685842406919372800000000/Pi^48*Derivative[67][C0][x]-8600622867892774619655233/83483339542649115871704009472531704223027004555416043520000000000/Pi^40*Derivative[51][C0][x]-40415209744606430177459839/48244668796491766650032357376000/Pi^22*Derivative[15][C0][x]-11041334311994784714802411/127778631852519483487653393585642138222041078169600000000/Pi^36*Derivative[43][C0][x]-1980427862672812379/67682516913782968021965432858620831410505093425547043667968000000000/Pi^44*Derivative[59][C0][x]-85361012547967175775401369/41258134268693534256723095113400948480653729867323052035932160000000000/Pi^42*Derivative[55][C0][x]-56729186509/5797233217597222446468981390908148201403043122392710302235312793845760000000/Pi^50*Derivative[71][C0][x]-7891906234738727/27064057011210538221279136391995952950131226779352629428355072000000000/Pi^46*Derivative[63][C0][x]-205516949459797733745354013909/460268816049040819206945869312811230822400000/Pi^28*Derivative[27][C0][x]-3826564414851549892808789/2739873058684279670850189262848000/Pi^24*Derivative[19][C0][x]-1244264706847560594937720000163/346687757267390078411659706003985827259514921695408291840000000000/Pi^38*Derivative[47][C0][x]-3131329698206406293/16233134784864405422080/Pi^20*Derivative[11][C0][x]-3279507092933414882445475525804031489/31065006123627811405928385880897383797967588163584000000/Pi^30*Derivative[31][C0][x]-6777836067904915/72057594037927936/Pi^16*Derivative[3][C0][x]-7789232656469248259027789686016299/5517310951882654604352223330503246672243437700592435200000000/Pi^34*Derivative[39][C0][x]-290867973013402837018949000077/267725213513805794647914857506264842240000/Pi^26*Derivative[23][C0][x]-758243/24080814903865385546871153469926154067366486816092796640054376220590080000000/Pi^52*Derivative[75][C0][x]

C30[x_]:=1/77946580244615257709271725955364800712510449851145718433116748633120833100820491796480000000/Pi^60*Derivative[90][C0][x]+8104490724292579123983914934389/1664101234883472376375966588819131970845671624137959800832000000000000/Pi^40*Derivative[50][C0][x]+1390994215437029607487522729/94482359371049475807423368685158400/Pi^24*Derivative[18][C0][x]+43184933489263960671744199/6432622506198902220004314316800/Pi^22*Derivative[14][C0][x]+4275441283558177658092058289192324263/106668011736397989017476317723062768996706462211453747200000000/Pi^34*Derivative[38][C0][x]+52501/1906185542537051751852119046359801121774246517485775941134915354143992777277440000000/Pi^56*Derivative[82][C0][x]+89/3110894805420468459022658283659195430735570316536786335932181857962996212516782080000000/Pi^58*Derivative[86][C0][x]+11787960670408067/57159288407676656723341536059895452630677150957992753352685912064000000000/Pi^48*Derivative[66][C0][x]+15668233246820804718043103/7921561779589158577290834261772982108285516134526025990898974720000000000/Pi^44*Derivative[58][C0][x]+8288652816841601935897981175496197957/22762407752300672259560260544239585058820985416843264000000/Pi^32*Derivative[34][C0][x]+20333508203714745/144115188075855872/Pi^16*Derivative[2][C0][x]+191396548363901891/7996949690736202990902992682372430542041217192433866082615296000000000/Pi^46*Derivative[62][C0][x]+2042839299954379225667/1859431802629922802892800/Pi^20*Derivative[10][C0][x]+4731810079626491/3768201591438194590204837904090296330911978029555261696452953315999744000000000/Pi^50*Derivative[70][C0][x]+6403999238868411324778942494943/442328613631505225940033242836437565440000/Pi^26*Derivative[22][C0][x]+5111330127896258240345491/43868297999674145940162780556513501840142190183224935710720000000000/Pi^42*Derivative[54][C0][x]+21565403367285423819917715398019371/7415265919330287788249388156196363527495180269596232908800000000/Pi^36*Derivative[42][C0][x]+17741854913/3339206333336000129166133281163093364008152838498201134087540169255157760000000/Pi^52*Derivative[74][C0][x]+7015117/463036611555925351244370481654615613142463860271750557260138903470048542720000000/Pi^54*Derivative[78][C0][x]+382881586257777105154102919401901707/182199449405441709125679682585908409372243918848000000/Pi^30*Derivative[30][C0][x]+24503680642261220462328928364237/3341210664652296317205977421678185231155200000/Pi^28*Derivative[26][C0][x]+70914930412491850877/1660206966633859645440/Pi^18*Derivative[6][C0][x]+2024147265909651476218784651389/14150520704791431771904477796081054173857751905935032320000000000/Pi^38*Derivative[46][C0][x]

C31[x_]:=-1/231969022807975006942792656443165646920431098757009658056955443932167599308041783586324480000000/Pi^62*Derivative[93][C0][x]-21323496925929546505631008024291577/232730207424868339674493784123046041447359553915899084800000000/Pi^36*Derivative[41][C0][x]-4797424688130674917/261980071868518009981982040274520824557270275224133452866477096960000000000/Pi^48*Derivative[65][C0][x]-26835330446957024385827508655768109099/3280464646655096884466037549022763729065377310074470400000/Pi^32*Derivative[33][C0][x]-333698836492731157860791/190117482710139805854980022282551570598852387228624623781575393280000000000/Pi^46*Derivative[61][C0][x]-240100111704883225654363399/1980390444897289644322708565443245527071379033631506497724743680000000000/Pi^44*Derivative[57][C0][x]-272633317731183337550774401703/1280077872987286443366128145245486131419747403183046000640000000000/Pi^40*Derivative[49][C0][x]-160219382134037470819170365219/26625619758135558022015465421106111533530745986207356813312000000000000/Pi^42*Derivative[53][C0][x]-1147/101003078098067157760475918300623228270635399887557997919876034349447928977817600000000/Pi^58*Derivative[85][C0][x]-9440979106238427993571/1673488622366930522603520/Pi^20*Derivative[9][C0][x]-9122365315521952638367319/183789214462825777714408980480/Pi^22*Derivative[13][C0][x]-1811488624811888149/13188705570033681065716932664316037158191923103443415937585336605999104000000000/Pi^50*Derivative[69][C0][x]-21854886725935590228563120669929/120635076444955970710918157137210245120000/Pi^26*Derivative[21][C0][x]-10483153299503/14279500767555263710249912057605333464508548322525202218137507302735872000000000/Pi^52*Derivative[73][C0][x]-20333508203714745/144115188075855872/Pi^16*Derivative[1][C0][x]-141740246212400382277189245126491443/26694957309589036037697797362306908698982648970546438471680000000000/Pi^38*Derivative[45][C0][x]-1/94138381937941132499120441975078261730085084361287099556904285788793276691812188160000000/Pi^60*Derivative[89][C0][x]-760274507952410744751377663/5249019965058304211523520482508800/Pi^24*Derivative[17][C0][x]-11301665497/4113902202669952159132676202392931024458044297029783797195849488522354360320000000/Pi^54*Derivative[77][C0][x]-5267610055071868668857810294492619581/133612929563990586692165100562999500206312207155200000/Pi^30*Derivative[29][C0][x]-8071477/1157326936540352849338786563861307823934363957044935392831912893587424186204160000000/Pi^56*Derivative[81][C0][x]-30049277612346862788520683030502440035297/28107021092540870106105009720027039630632152792718062387200000000/Pi^34*Derivative[37][C0][x]-71402934609381004757/553402322211286548480/Pi^18*Derivative[5][C0][x]-1384862804248368162665497613376791/12208269736229544235944917502285676806144000000/Pi^28*Derivative[25][C0][x]

C32[x_]:=19428624560566316497/1476996012454364809731145291787698495976697580754532746633403967733760000000000/Pi^50*Derivative[68][C0][x]+793679289672776683641217993902358429/4300854233211566917184645130593890845947204556365815087104000000000/Pi^38*Derivative[44][C0][x]+1670336951389/1232195987743704070703419176140730700445673427846360842936100838802215578003046400000000/Pi^56*Derivative[80][C0][x]+38765993643622540231798412250535021/23439877893560724933014241604388499467796480000/Pi^28*Derivative[24][C0][x]+1438530914301931469153696016317/675826758795271544598981272477368320000/Pi^26*Derivative[20][C0][x]+13122240485368376943050611103/9880508169521513809926626790604800/Pi^24*Derivative[16][C0][x]+71646936707825581697/221360928884514619392/Pi^18*Derivative[4][C0][x]+726975141265535345809337/500606491616185271645570252958855792754006743056858437934571092705280000000000/Pi^48*Derivative[64][C0][x]+4340059682464273/50226078732822481281672417948072974566073042694766331107763000892928819200000000/Pi^52*Derivative[72][C0][x]+755499406027659830457224731691570452076807/28107021092540870106105009720027039630632152792718062387200000000/Pi^34*Derivative[36][C0][x]+95729/31108948054204684590226582836591954307355703165367863359321818579629962125167820800000/Pi^58*Derivative[84][C0][x]+289648717822474943955220322918329/42512381550461817698127477204848337314465603255289672817824497664000000000000/Pi^44*Derivative[56][C0][x]+60031/13324201751216283369106277941088000121796658094212943321900298911644586854841109708800000000/Pi^60*Derivative[88][C0][x]+21126495331688058664259329/181064269247752196052361925983382448189383225932023451220547993600000000000/Pi^46*Derivative[60][C0][x]+231931215096720748366445293927/806836962367744182485317133972912470713052908672950206464000000000000/Pi^42*Derivative[52][C0][x]+9537768396196443470084443/28275263763511658109909073920/Pi^22*Derivative[12][C0][x]+13061235998384220987554656280218772801/75291281113834032851291519862814014222766414862745600000/Pi^32*Derivative[32][C0][x]+107243898379/263088983838593949570665046394667962012763556972585543897806195153436672000000000/Pi^54*Derivative[76][C0][x]+1/262556901876598762810178445323334065557929936340701367353656416448407016760658498682880000000/Pi^62*Derivative[92][C0][x]+4184688374526463137101602155206807/482393581500338345340044902923569550136909986103050935205888000000000/Pi^40*Derivative[48][C0][x]+22528617230123604719870499450699175843927/8302381615027457015957172101915679398586728209541335351296000000000/Pi^36*Derivative[40][C0][x]+15405458895340885009693/595018176841575296925696/Pi^20*Derivative[8][C0][x]+1/712608838066099221328259040593404867339564335381533669550967123759618865074304359177188802560000000/Pi^64*Derivative[96][C0][x]+32171092406853470045436127420006141597/46073423987582960928332793297586034553900761088000000/Pi^30*Derivative[28][C0][x]+651674591268443283/9223372036854775808/Pi^16*Derivative[0][C0][x]

C33[x_]:=-58052457738874725241/6522414390998474999772737608534476558233096516612016609133111921512284160000000000/Pi^52*Derivative[71][C0][x]-14533224220620712844996457607484661067/4176807546033991449536589698271917149306566475776000000/Pi^32*Derivative[31][C0][x]-1258578894331645634293423859252747611/98408290626069022449369160196408188227929637165022390782001152000000000000/Pi^42*Derivative[51][C0][x]-582924058725927220784512309/51460980049591217760034514534400/Pi^24*Derivative[15][C0][x]-3223737449946111643546550483377/453465403204926055446693090185048931354299768056423176723461308416000000000000/Pi^46*Derivative[59][C0][x]-5252308301896391/101997575272808731218165525679163579118794486703217780095764863351793909760000000000/Pi^54*Derivative[75][C0][x]-2688147865019443840543118155925387/7591496705439610303237049500865774520440286295587441574611517440000000000000/Pi^44*Derivative[55][C0][x]-573827168253873096859/885443715538058477568/Pi^18*Derivative[3][C0][x]-165938713001401/770122492339815044189636985087956687778545892403975526835063024251384736251904000000000/Pi^56*Derivative[79][C0][x]-19911218352377811817621/17705661177161921186622274209913215406878554280747835278527988120944640000000000/Pi^50*Derivative[67][C0][x]-19021386489028511585270141138276138963123/3153461121255646282234863281840668488089289462545787201257472000000000/Pi^38*Derivative[43][C0][x]-25647044249294755222068912940478721673/2193972570837283853730133014170763550185750528000000/Pi^30*Derivative[27][C0][x]-19768782442683226765605071/9425087921170552703303024640/Pi^22*Derivative[11][C0][x]-33033137415814961854487974351250320632157/435746115819764048353031703485636589553154368761641513779200000000/Pi^36*Derivative[39][C0][x]-58440927031692401462059179613963/2570162049732535628619982632060142485504000/Pi^28*Derivative[23][C0][x]-10387976898513786381766507/99552427310036843793153175304317913331762704585170712089261296844800000000000/Pi^48*Derivative[63][C0][x]-1/2257544798993402333167924640599906619731739814488698665137463848070472564555396209873334126510080000000/Pi^66*Derivative[99][C0][x]-1/757449870393387777772384184304214357291203587777990720185976959778506446720136436200243200000000/Pi^64*Derivative[95][C0][x]-488048036849946372234773966531/20794669501392970603045577614688256000/Pi^26*Derivative[19][C0][x]-488137490795761304837/4648579506574807007232/Pi^20*Derivative[7][C0][x]-2042871316223/3193852000231680951263262504556773975555185524977767304890373374175342778183896268800000000/Pi^58*Derivative[83][C0][x]-601459/349200679495876354537537332280034307192046815333132818580363033876381332291675803248230400000000/Pi^62*Derivative[91][C0][x]-18816311/14434551897150973649865134436178666798613046268730688598725323820948302426077868851200000000/Pi^60*Derivative[87][C0][x]-127661992065810698488751500838302558628081521/199872149991401742976746735786858948484495308748217332531200000000/Pi^34*Derivative[35][C0][x]-655780098649330206689144336592624391/1981833630663890035438684476177664901812471859573367592137523200000000/Pi^40*Derivative[47][C0][x]

C34[x_]:=20031072756655091158007576581315123/67941675053799202704389106099676810051584000/Pi^28*Derivative[22][C0][x]+1013947454095099421720144564567179206823/1902560285437334434021137097130558305739972985190432888452022272000000000000/Pi^42*Derivative[50][C0][x]+79681921526392568589288769833452989339878511/39770923809198194093409386844570624222078484708008917949480960000000/Pi^36*Derivative[38][C0][x]+8641476517632227561464431463896926715502699/601119248094441332260892438456718642058632507513435586560000000/Pi^34*Derivative[34][C0][x]+4066223366415988757755459/342730469860747371029200896/Pi^22*Derivative[10][C0][x]+30088554703703377733185410591139909673/162516486728687692868898741790426929643388928000000/Pi^30*Derivative[26][C0][x]+64199547488298346335179/737250848928504279083548564515343179335289352036399014446705619763200000000000/Pi^50*Derivative[66][C0][x]+5383366319589928014067989779489/783588216738112223811885659839764553380229999201499249378141140942848000000000000/Pi^48*Derivative[62][C0][x]+573827168253873096859/590295810358705651712/Pi^18*Derivative[2][C0][x]+59099482837/204406528014827580880848800291633534435531873598577107512983895947221937803769361203200000000/Pi^60*Derivative[86][C0][x]+17043730872418848187532073937443193/994441673695013279488362039879493270513815280825489422639169536000000000000/Pi^44*Derivative[54][C0][x]+5448460754255564926442397466268329/13603962096147781663400792705551467940628993041692695301703839252480000000000000/Pi^46*Derivative[58][C0][x]+63055425990111320115995/170005193383307227693056/Pi^20*Derivative[6][C0][x]+140582475473208563263684697/1568334630082779969829623300096/Pi^24*Derivative[14][C0][x]+723049375502861040124760587/883917598268113331969201400708592263171749239931260490869719327603344749363200000000000/Pi^52*Derivative[70][C0][x]+12214639394651196289/2146806108122926628496626778580490570024150624896298038206098552452043243520000000000/Pi^54*Derivative[74][C0][x]+897712471071676891/30804899693592601767585479403518267511141835696159021073402520970055389450076160000000000/Pi^56*Derivative[78][C0][x]+1320461/2078442444359456062207422201730764196407062644862806536190320777632221689800054380933467340800000000/Pi^64*Derivative[94][C0][x]+15257594285581032635794325305471406568887737/81989989152646803338106445327857380690321526026190467232694272000000000/Pi^38*Derivative[42][C0][x]+204143101105369/1878736470724518206625448532092219985620697367633980767582572573044319281284644864000000000/Pi^58*Derivative[82][C0][x]+12113885319710728438917586598911218311111/183240589116329947463540709343542171711513884098560000000/Pi^32*Derivative[30][C0][x]+101/228034828181151750825042892989889557548660587322090774256309479603078036823777394936700416819200000000/Pi^66*Derivative[98][C0][x]+1/7368626223914465215460106026918095206804398754491112443008682000102022450708813229026562588928901120000000/Pi^68*Derivative[102][C0][x]+264890567/498858113565537649339339046114334724560066879047332597971947191251973331845251147497472000000000/Pi^62*Derivative[90][C0][x]+496052823670161802057099591705739521481687/41777052934394801947047468757825176130206906799806588842258989056000000000/Pi^40*Derivative[46][C0][x]+6904231575426192971005193381543/28455863528221959772588685156941824000/Pi^26*Derivative[18][C0][x]

C35[x_]:=-72271/319248759453612451155060050185845380568124822250927083958833271444309251553288352911380583546880000000/Pi^66*Derivative[97][C0][x]-2506863649495564747/159692600011584047563163125227838698777759276248888365244518668708767138909194813440000000000/Pi^58*Derivative[81][C0][x]-5193126203502680757397315/85682617465186842757300224/Pi^22*Derivative[9][C0][x]-67641947/324756631931165009719909719020431905688603538259813521279737621505034639031258497020854272000000000/Pi^64*Derivative[93][C0][x]-32480040738193531328807153698199890613/27267944808977670753503081747550918409451470848000000/Pi^32*Derivative[29][C0][x]-132250516381/2524784189906467155148824114274129624944810691682029490031915710810547650738257920000000000/Pi^60*Derivative[85][C0][x]-2968814239008846860594112422896529716574837/7379099023738212300429580079507164262128937342357142050942484480000000000/Pi^40*Derivative[45][C0][x]-25598328724391099823512915102839/61217829432665017485303567174981605732830468687617128857667276636160000000000000/Pi^48*Derivative[61][C0][x]-168944182755851906508196902301390829/217435461192838221030987096814920949227425484021763758680231116800000000000/Pi^44*Derivative[53][C0][x]-34695701437734048699527153204842387963/12501268209899053297607595522340533049491456000000/Pi^30*Derivative[25][C0][x]-2368703184292200802767669420643/383497291956534923653816981756873004948441976079792573813302017214382080000000000000/Pi^50*Derivative[65][C0][x]-1074408746966137028023746643/15784242826216309499450025012653433270924093570201080194102130850059727667200000000000/Pi^52*Derivative[69][C0][x]-623396421989875628613309585662806485474131933/114700681103502690864353794664341497756448201275534963363545088000000000/Pi^38*Derivative[41][C0][x]-1069359736321188795172836344612499698494682117/21298376303083769731602132165447689550507820100210038954524672000000/Pi^36*Derivative[37][C0][x]-142734315450589890562229711/254568268301216639607130003404074571793463781100203021370479166349763287816601600000000000/Pi^54*Derivative[73][C0][x]-39624826431914777483819/35417748621522339102720/Pi^20*Derivative[5][C0][x]-571666686833105488546640162105210977/27207924192295563326801585411102935881257986083385390603407678504960000000000000/Pi^46*Derivative[57][C0][x]-68749154555015990935915352828487119190242891/223946386544987947312881496679954003904196424367750512640000000/Pi^34*Derivative[33][C0][x]-1/6946291689210468717439768124922789599174584044580611277346042609447607890939680645764105004646400000000/Pi^68*Derivative[101][C0][x]-3158826909015585109907098526306958023249303/151168659233379344891470225412930483474225607374069379933835603476480000000000/Pi^42*Derivative[49][C0][x]-252967494949065357814116523222199/70187680840701655686352382334376869888000/Pi^28*Derivative[21][C0][x]-37592347258145629403/10910068641480713126019857288746053076862733475722986630163392843561283763568640000000000/Pi^56*Derivative[77][C0][x]-126228632737057419992700423397231/53749964442197035126000849740890112000/Pi^26*Derivative[17][C0][x]-573827168253873096859/590295810358705651712/Pi^18*Derivative[1][C0][x]-9309015697/74226231390427824152906486088509707808937487317187652258627891258747722805960074120396800000000/Pi^62*Derivative[89][C0][x]-64300361583939738698818933/98020914380173748114351456256/Pi^24*Derivative[13][C0][x]-1/24758584112352603123945956250444799894862779815090137808509171520342795434381612449529250298801107763200000000/Pi^70*Derivative[105][C0][x]

C36[x_]:=5092265497083796080675044381/101827307320486655842852001361629828717385512440081208548191666539905315126640640000000000/Pi^54*Derivative[72][C0][x]+5211266710563074071776890649288439704179117514071/403584898925335740053788347075594679273856589422487117811262838276096000000000/Pi^40*Derivative[44][C0][x]+244196491753214333695174312836461621/5882396108554043524189532995643013857280000/Pi^28*Derivative[20][C0][x]+1986729764550170088331840953594737/383030959249515777186653940307056647374424670636879546043545041961449391390720000000000000/Pi^52*Derivative[68][C0][x]+134330478296633827068751608955231/6323525228493768838353041145987072000/Pi^26*Derivative[16][C0][x]+135375466819988622274451740525789/334330972474927882159737881531632876108898132992639679734673553468948480000000000000/Pi^50*Derivative[64][C0][x]+2081561003/39811704998396267788571057801642777694445499270368502717502117546392300879893079431053312000000000/Pi^64*Derivative[92][C0][x]+107/2357960391652628868947233928613790466177407601437155981762778240032647184226820233288500028457248358400000000/Pi^70*Derivative[104][C0][x]+3713717567299773539859808897545302051/156717643347622444762377131967952910676045999840299849875628228188569600000000000000/Pi^48*Derivative[60][C0][x]+38106919/483710241596382501750090985130068758436552760986253157513383744612589775080739928653606944768000000000/Pi^66*Derivative[96][C0][x]+118167275082067123914515185297074760229/3000304370375772791425822925361727931877949440000/Pi^30*Derivative[24][C0][x]+1263357545833352392668781499678407218051619/38112825600658065136273705316229746136532031919765370940894309724979200000000000/Pi^44*Derivative[52][C0][x]+9609975564955351270995222412792349937991/471791861632849519906127803367280993831943793541120000/Pi^32*Derivative[28][C0][x]+1600333066253083217103024857/361923376172949223806836146176/Pi^24*Derivative[12][C0][x]+674592212444998081745007853/1857330085525676602573620504836128075805111746907081243919015997687872947909925273600000000000/Pi^56*Derivative[76][C0][x]+152157170517578362965314072900499929006474691375809/1010054197797444695751499515814191229243282860432360887379378044928000000000/Pi^38*Derivative[40][C0][x]+635718704415398059031681/226673591177742970257408/Pi^20*Derivative[4][C0][x]+543062991165441197975264547426848867477/526019867717714224318163984614656760370987730945450884999215117762560000000000000/Pi^46*Derivative[56][C0][x]+3462463560699428827/429253708831137919849782480612430422314616934557011925777266181489166069387915658526720000000000/Pi^60*Derivative[84][C0][x]+28179017585679034214740644699369374006469977/4524169425151271662886494882423313210185786350863646720000000/Pi^34*Derivative[32][C0][x]+12821047068101/530187367074484458235046329203640770063839195122768944704484937562483734328286243717120000000000/Pi^62*Derivative[88][C0][x]+52763383390097017901133349/190405816589304095016222720/Pi^22*Derivative[8][C0][x]+7890109/101138006994904424525923023898875816563981943689093700198158380393557170892081750202325368867651584000000000/Pi^68*Derivative[100][C0][x]+8468632852448908644457591425289990571576252419/7084698978156763320283453526968046420127341405475272833105920000000/Pi^36*Derivative[36][C0][x]+51091659792682350487/25781331435868269787025385839252211578555628644170011482970725242630972093602201600000000000/Pi^58*Derivative[80][C0][x]+15822993286518584210763882232399149801059161/20446181200833220717613820003829733259018909680846518774564399349760000000000/Pi^42*Derivative[48][C0][x]+1/85565666692290596396357224801537228436645767040951516266207696774304701021222852625573089032656628429619200000000/Pi^72*Derivative[108][C0][x]+574500350360052002939/1180591620717411303424/Pi^18*Derivative[0][C0][x]

C37[x_]:=-178247949148142198247889135931402839024441598365853/44891297679886430922288867369519610188590349352549372772416801996800000000/Pi^38*Derivative[39][C0][x]-58906022727732669757/54295484003938576171475462577465157584438153924622044183136347360980827229126236569600000000000/Pi^60*Derivative[83][C0][x]-19152096288028928709049963/552908456038841570187431681601609929687161153520802942343122171257404426027008000000000000/Pi^56*Derivative[75][C0][x]-66187263733149827309173327251652991/147059902713851088104738324891075346432000/Pi^28*Derivative[19][C0][x]-141611993748085355706570372054581/790440653561721104794130143248384000/Pi^26*Derivative[15][C0][x]-4734003724725413603/1195042325385887968861794426025006295723893545806721201363909049265838337175957193338388480000000000/Pi^62*Derivative[87][C0][x]-150145779541674000668430828513341/36770972087953514609918778269477438147944768381140436420180324028299141573509120000000000000/Pi^54*Derivative[71][C0][x]-529078489923261006741646007453521675367/1000101456791924263808607641787242643959316480000/Pi^30*Derivative[23][C0][x]-159073301191439527758655/28334198897217871282176/Pi^20*Derivative[3][C0][x]-232283638369565146015543550129998100677147512311/590222974712941596126093630110553483523031375835257840277340909731840000000/Pi^40*Derivative[43][C0][x]-21393839/743661816139003121514139881609381004146926056537453677927635149952626256559424633840627712262144000000000/Pi^68*Derivative[99][C0][x]-16242961463/774192317898971993541812291015057139825699524858950159512161813467240248475787451945587834880000000000/Pi^66*Derivative[95][C0][x]-10629206108291/992510751163434905816006728269215521559506973269823464486795803116969550662551848238448640000000000/Pi^64*Derivative[91][C0][x]-44723333821757181038914167801005239599413299/936786968556864442383996453427881484348966632841681255402395309378109440000000000000/Pi^46*Derivative[55][C0][x]-1/303929248091016198399860862495060235406965764529459785777569738942330298027383572526035612243996344182007398400000000/Pi^74*Derivative[111][C0][x]-95268963374058333122690796191030945903/75746860951350848301815613784510573493422233256144927439886976957808640000000000000/Pi^48*Derivative[59][C0][x]-9114960463148322442631170496460070480409517383/336626778932887146066099765535762439552834204207523928473600000000/Pi^36*Derivative[35][C0][x]-39751422554098205504989801/178303688210464953847067568464268295277290727703079799416225535778035802999352826265600000000000/Pi^58*Derivative[79][C0][x]-5261192316183483072697709213681762696300460966007/193720751484161155225818406596285446051451162922793816549406162372526080000000000/Pi^42*Derivative[47][C0][x]-1/72024971963207572724206418183112145148691723098444037261117589877360859445473781671357819051057768038400000000/Pi^72*Derivative[107][C0][x]-1365297298538707428193868196330533594541671701/1021900136417644371466338723791410068285765105848709008352728679501004800000000000/Pi^44*Derivative[51][C0][x]-146940970568395210646711634682571/402343444589827497044804559146067906905908267475713808869270002060345999360000000000000/Pi^52*Derivative[67][C0][x]-29130038133862479092257364206084073223433891/242366219204532410511776511558391779117095697367695360000000/Pi^34*Derivative[31][C0][x]-27318995443681921279127254464839024071/82596614431521274493369713474664039536404725760000/Pi^32*Derivative[27][C0][x]-16478201113041705332140448711/603205626954915373011393576960/Pi^24*Derivative[11][C0][x]-410919562312433130391538396370797969/16628566788884570981102752528810161469626775562002341965750868843587174400000000000000/Pi^50*Derivative[63][C0][x]-853749914807783257303608799/761623266357216380064890880/Pi^22*Derivative[7][C0][x]-4296233/165057227415684020826306375002965332632418532100600918723394476802285302895877416330195001992007385088000000000/Pi^70*Derivative[103][C0][x]

C38[x_]:=326252732067540966969392297102841472769155377831803/28579217722942435180842428405353116044273098198338800687113349313331200000000/Pi^40*Derivative[42][C0][x]+6411079864491567583/3441721897111357350321967946952018131684813411923357059928058061885614411066756716814558822400000000000/Pi^64*Derivative[90][C0][x]+584675791459106861681351602344910187807/86965344068862979461618055807586316866027520000/Pi^30*Derivative[22][C0][x]+2325683687025540809245863638911182592006266819171989/45563120749074703709112489231446336911301313519441105652420329390018134016000000000000/Pi^44*Derivative[50][C0][x]+213558481653351522431860946222373864615460203203/365480502841420330014622602581684934371648564568168836628480000000/Pi^36*Derivative[34][C0][x]+2655180310412042612961635291273102213095007/1202810020866165808991446707485815280978142418698240000000/Pi^34*Derivative[30][C0][x]+39324031540839015867994287827948851831330703/625923580910954545823291070322373292582605545399497747609664449914077603430400000000000/Pi^48*Derivative[58][C0][x]+148038492182171620786105147051871/105392087141562813972550685766451200/Pi^26*Derivative[14][C0][x]+9027248577995656871669736050844383861/377153246319855688534173317182140177082234010729408248661802662800915641139200000000000000/Pi^52*Derivative[66][C0][x]+159073301191439527758655/18889465931478580854784/Pi^20*Derivative[2][C0][x]+202117231917333442890616791174839473763/39623067240518142261369597998427899036864348160000/Pi^32*Derivative[26][C0][x]+860112846855440838413954999/217606647530633251447111680/Pi^22*Derivative[6][C0][x]+31600632372958238926995819156008577823/22374457388706712113767073610193892478057028900276655489935845501383475200000000000000/Pi^50*Derivative[62][C0][x]+113253667729199516181151291072725023/367709720879535146099187782694774381479447683811404364201803240282991415735091200000000000000/Pi^54*Derivative[70][C0][x]+337247771494104155958541453411/2193475007108783174586885734400/Pi^24*Derivative[10][C0][x]+543665916966901630754053/4182472034764933578023521605967270781527036798247808507573362793997002727369434621542400000000000/Pi^60*Derivative[82][C0][x]+40446320313002167066563523591/1783036882104649538470675684642682952772907277030797994162255357780358029993528262656000000000000/Pi^58*Derivative[78][C0][x]+5821266608432303639720485294967/1925461811151020401392110571201727670292380598866990125274896967300027776940113920000000000000/Pi^56*Derivative[74][C0][x]+1290946754919722352785394907300159/281454359260959020296149904097751859200/Pi^28*Derivative[18][C0][x]+264936601447773509646485406117092938572233379041177/292557869588325009932868614043369857302191552169117192339919510521774080000000000/Pi^42*Derivative[46][C0][x]+266723/31690987663811331998650824000569343865424358163315376394891739546038778156008463935397440382465417936896000000000/Pi^72*Derivative[106][C0][x]+5100233039841963637005485306744317231250327202841/51158173994172570851611244865549413320330882453047718259164446720000000/Pi^38*Derivative[38][C0][x]+478867729/47159207833052577378944678572275809323548152028743119635255564800652943684536404665770000569144967168000000000/Pi^70*Derivative[102][C0][x]+5170025425296905684629587887319498529510538369/2478376751901318559850994125910956628768845056710974268678617765863489536000000000000/Pi^46*Derivative[54][C0][x]+825529789445201/181161002388359446488784076097523370719213688816994337325845864351334218143334263755267553361920000000000/Pi^66*Derivative[94][C0][x]+1595725231013/196657235823425269911516990914480754429964890506571083718641295209694498956825625393410439464878080000000000/Pi^68*Derivative[98][C0][x]+113/27381013341532990846834311936491913099726645453104485205186462967777504326791312840183388490450121097478144000000000/Pi^74*Derivative[110][C0][x]+1322968160160645134783/2335140176041390283982816694531621497391516123990144876228328027301063417470261182385356800000000000/Pi^62*Derivative[86][C0][x]+1/1108733897036027091762692426381979738764611109003469298516574407661620927203895272574977913466098663575962989363200000000/Pi^76*Derivative[114][C0][x]

C39[x_]:=-27965491203693711781/33288334188861048292314073982919919369655515320122709483624177574557662583837670965030412930252800000000000/Pi^66*Derivative[93][C0][x]-309171188626375636649445527138590141089122106093113393/10751501707370944115032921566093842255855539542215056818492042011675197440000000000/Pi^42*Derivative[45][C0][x]-9535237817280340050762198289/12185972261715462081038254080/Pi^24*Derivative[9][C0][x]-2403768785245532997310198256517815728352888058238781/1296796513627510797874740078125780358244729692476400699338117067254362275840000000000/Pi^44*Derivative[49][C0][x]-1063/402661960904896924218151646124881074995980080192713017723330337761433887158695777061520418977207663198208000000000/Pi^74*Derivative[109][C0][x]-212879121938250418675927036490018944669/2635313456632211498836910782048070208061440000/Pi^30*Derivative[21][C0][x]-126001508138916819880427386057110888076825897475309/1458019863970390518691599655406282781161642032622115380877450540480580288512000000000000/Pi^46*Derivative[53][C0][x]-142763045333012281415697725963471/67606815113134628333679786376035061959306067587417757278652182315838575303921279959040000000000000/Pi^58*Derivative[77][C0][x]-159073301191439527758655/18889465931478580854784/Pi^20*Derivative[1][C0][x]-1749587247533384792132129550573032669171/1191104239087801819376390163638671866069365933506227755006734735266149302272000000000000000/Pi^52*Derivative[65][C0][x]-1/838425511975217099034098931020855821812319350426095960765709624668497373868644338002856861362748535674503168000000000/Pi^76*Derivative[113][C0][x]-7607024071475414293537687269616818135335703579542003/24094383772913589833199406631785798050312492961586499713486254453555200000000/Pi^40*Derivative[41][C0][x]-30164007070538424018208880885389768116913305119/10171258189803011369628479892738566004467340112741838398657047311103761055744000000000000/Pi^48*Derivative[57][C0][x]-603545810288399024214238994504519/13759990897202440992256217533667868672/Pi^28*Derivative[17][C0][x]-15265259/4401526064418240555368170000079075536864494189349357832623852714727608077223397768805200053120196935680000000000/Pi^72*Derivative[105][C0][x]-32011620630221634350585177/443676633447864153956735171961008084504388063558127526483382325187202049319349624653217792000000000000/Pi^62*Derivative[85][C0][x]-51700012717477151139769917032492478534861258337/4299770621663768588407324736255116874960571347860809842688000000/Pi^36*Derivative[33][C0][x]-48669987738733/26087184343923760294384906958043365383566771189647184574921804466592127412640133980758527684116480000000000/Pi^68*Derivative[97][C0][x]-19980220946367224657/70663372283687288593566974756261241834108487925962644950213752478327832111273990562617753600000000000/Pi^64*Derivative[89][C0][x]-4457839194015669632941042245164920325460529/58680335710401988670933537842722496179619269881202913838406042179444775321600000000000000/Pi^50*Derivative[61][C0][x]-57861372331165357989233580749151791499718716204937/24232819260397533561289537041576037888577786425127866543814737920000000/Pi^38*Derivative[37][C0][x]-612145086182045029744973755169702988259/28313648507724206249637459267497627373917471653478136043538849501790339011602022400000000000000/Pi^54*Derivative[69][C0][x]-774727436680805302950903509/55019423790657757187095135411831359685563995976950338105578165325793904925514586390528000000000000/Pi^60*Derivative[81][C0][x]-40247367560212957074450244816357027851416141/1042435351417343701125920479821039910181056762871808000000/Pi^34*Derivative[29][C0][x]-7472443122509969708515306388795228627821/100010145679192426380860764178724264395931648000000/Pi^32*Derivative[25][C0][x]-52776611021/17426856589891223918312890271806294546409196451043837572605751698582158676789470804092986635656888320000000000/Pi^70*Derivative[101][C0][x]-339592875014141404619509429100279/1393426310701396343112711597580197656132643854443216538027885963177651680680345600000000000000/Pi^56*Derivative[73][C0][x]-8777318880675676534824061773323/860343568502553583449393353195520/Pi^26*Derivative[13][C0][x]-1/4151099710502885431559520444374132141934703992108989053646054582285108751451383900520717308017073396428405432175820800000000/Pi^78*Derivative[117][C0][x]-863930606084035387080162719/72535549176877750482370560/Pi^22*Derivative[5][C0][x]

C40[x_]:=3889067995812374514691016278896081964488341/2736986022413339937464954395858103979478688926502886484208755451839732771121528832000000000000000/Pi^54*Derivative[68][C0][x]+95191/118400263604152397289684927302423465619409271747128681763783689605359976970667687384055612422009010603077664768000000000/Pi^76*Derivative[112][C0][x]+35060728862437411019038787314697713/193162328894670366667656532502957319883731621678336449367577663759538786582632228454400000000000000/Pi^58*Derivative[76][C0][x]+17036674394605615231798614441788063101776617/26486560653072253749115946855707003162495090163712000000/Pi^34*Derivative[28][C0][x]+92747785894408914029229331381/25996740824992985772881608704/Pi^24*Derivative[8][C0][x]+173079607981607972917/1281045118756395746393524069518140643540789497322209533042696137560792900792847552700661052211200000000000/Pi^66*Derivative[92][C0][x]+1076721833197/985941838429685884402470080017712920257646698414256154507743008098984209298041100212364811898924113592320000000000/Pi^72*Derivative[104][C0][x]+84280376368301207866729599578033426400802398199642039/634903497885090373707369219544598274753523992957495875295371102555511570114281472000000000000/Pi^48*Derivative[56][C0][x]+1/2981469302954022431630769549934735431972063486395883827943729499594274762228962077512545649656735902053009719296000000000/Pi^78*Derivative[116][C0][x]+238487191504041927139263511093078827799/13046929232359314239832941230462906693901170937922725088862701850424988216546211921920000000000000/Pi^56*Derivative[72][C0][x]+3383511752052875431/9296523875289194577635348661411817482143794823946996684881224864458285405231756836779402592885145600000000000/Pi^68*Derivative[96][C0][x]+7369352373653670737505161099/887353266895728307913470343922016169008776127116255052966764650374404098638699249306435584000000000000/Pi^62*Derivative[84][C0][x]+319437745029177585631537243/8361325060127625754320651019159330202992233882094829151401292508635615728218931018695471792128000000000000/Pi^64*Derivative[88][C0][x]+91754371595346278681872787502995623061719313/1081595947814129455182646969517061049582742382450332107869500169451526098727731200000000000000/Pi^52*Derivative[64][C0][x]+108374957709061237/147256938184580842109743922796763188917157710011320427488518601853019240818871028294585737071300706304000000000000/Pi^70*Derivative[100][C0][x]+4236198609932401351081453210703/3036376257712713132179302686362276466944272509189288747953501521553451803123482047283200000000000000/Pi^60*Derivative[80][C0][x]+157084721/136905066707664954234171559682459565498633227265522426025932314838887521633956564200916942452250605487390720000000000/Pi^74*Derivative[108][C0][x]+33388854247517503059184365171262294357845453441910909/9808497266709899853016215863642265982360137310366958016811939999596631031808000000000000/Pi^46*Derivative[52][C0][x]+1857459557277711257645656061347580674592804401/481005313409403493342036487538375535186632832917840633631072188111310867660800000000000000/Pi^50*Derivative[60][C0][x]+643798381248083841615754629279698222410438240686493/11788939099652854164951666668874829243091896098710853994288250880000000/Pi^38*Derivative[36][C0][x]+865839485698332661413266579/29014219670751100192948224/Pi^22*Derivative[4][C0][x]+55635926730845635099768764821569460946151869302261851/6672874184158602377093777446411173024162075155372500314041826567782400000000/Pi^40*Derivative[40][C0][x]+63329209252551243073819347674483/926523843002750012945500534210560/Pi^26*Derivative[12][C0][x]+230080177531469790866032847833397736169/250982233964972523698753407814101924577280000/Pi^30*Derivative[20][C0][x]+1780079074996608288756684677600249829134828874392627/27755137180708857412925323572302759168057325608138365165048363915853955072000000000/Pi^44*Derivative[48][C0][x]+37861785429608701098812358798945007974823522313/160364405469977383250622833986204825173354642344459108352000000/Pi^36*Derivative[32][C0][x]+532094777691015417269989149114869425181801/512051945877465223070007112595068233707170037760000/Pi^32*Derivative[24][C0][x]+1/15940222888331080057188558506396667425029263329698517966000849595974817605573314177999554462785561842285076859555151872000000000/Pi^80*Derivative[120][C0][x]+34138150269916905714290562021771816515620750334006311691/39183250666862996330342203040875336221340188553850429294059886442549608448000000000/Pi^42*Derivative[44][C0][x]+25432098286995285419188696860859241/64752898339776192904735141334907617280/Pi^28*Derivative[16][C0][x]+1273763466372486745059607/302231454903657293676544/Pi^20*Derivative[0][C0][x]

C41[x_]:=-9419929/25594041944506627233672493683794546139533959118270297749690083279354130360200721896929314715283902667958517760000000000/Pi^76*Derivative[111][C0][x]-22153908246159765035943507490445693/6745093577060020094243243889052876800/Pi^28*Derivative[15][C0][x]-61/664175953680461669049523271099861142709552638737438248583368733165617400232221424083314769282731743428544869148131328000000000/Pi^80*Derivative[119][C0][x]-640113503279609963928619181/137243971946539311623950079859938500806690707660647448192192932591241167256118817226062036992000000000000/Pi^64*Derivative[87][C0][x]-3900567724171135278776774915/270799383593676935134183424/Pi^24*Derivative[7][C0][x]-20596002818134370007823214050111146735514858349/4653431408727022281826109021921122159048237389459750912000000/Pi^36*Derivative[31][C0][x]-4467261329143487801/29451387636916168421948784559352637783431542002264085497703720370603848163774205658917147414260141260800000000000/Pi^70*Derivative[99][C0][x]-34958560099742798385887880073201287683/2408663858281719551969158381008536620412523865462656939482344957001536286131608354816000000000000000/Pi^58*Derivative[75][C0][x]-54432599766840440718717680346307028492131150789318049/258573874636145842112383876048432954686280412270684387169120779501568000000/Pi^40*Derivative[39][C0][x]-2367381169606940551546221545119494508191669019/511299902603043015177251294680792496166387308067429723720127352831630519398563840000000000000/Pi^52*Derivative[63][C0][x]-107651798755465745682968372885599049856819143327093/578280225777691421972556404898305828997517109335100607479654894168207881698017280000000000000/Pi^50*Derivative[59][C0][x]-457623888135273847699/7391368897445065416742390304778953525343918503733368962894511265534436100248037961214916177166336000000000000/Pi^68*Derivative[95][C0][x]-108158876591/283951249467749534707911383045101321034202249143305772498229986332507452277835836861161065826890144714588160000000000/Pi^74*Derivative[107][C0][x]-4100197128569/14639578649929089566465770102602188371881175849078638990086644628662731543396534976654722398901239808000000000000/Pi^72*Derivative[103][C0][x]-312744552726860788069029558256020477596252885920339/261976424436730092554481481530551760957597691082463422095294464000000/Pi^38*Derivative[35][C0][x]-55079041584492082628169621751/2848736893285722605000063084831660437480266052565236671199025962862188821067102673793622021465178112000000000000/Pi^66*Derivative[91][C0][x]-14631082467519623474001068424109607555921/1066774887244719214729181484573058820223270912000/Pi^32*Derivative[23][C0][x]-30911939987567835363671547180241562173315773947529697768613/1225367111763715521603428895096465060012820442047686152468781903294278664192000000000/Pi^42*Derivative[43][C0][x]-37891252336835274664733175704953154201/3861265137922654210750052427909260378112000/Pi^30*Derivative[19][C0][x]-5909027/24835639293607006855484310350956346148327288841677712286771266731620308769367254105679505261640610064101570961735680000000000/Pi^78*Derivative[115][C0][x]-26096809273687238705448420497261115708334082569/296962983431847383214947551950604281773437748525563183536649966524611005666685878272000000000000000/Pi^54*Derivative[67][C0][x]-5521280068890100126233789231403039/43268361672406162133555063280662439653955883255947364658337396682136688194509619173785600000000000000/Pi^60*Derivative[79][C0][x]-23907104218694609031232730322234862271859080433047867143/11284776192056542943138554475772096831745974303508923636689247295454287233024000000000/Pi^44*Derivative[47][C0][x]-1176362528685759200844490911662291/1345819121458521267002096688281724522996643792792986830332926386401179549602027194781427302400000000000000/Pi^62*Derivative[83][C0][x]-248206712006699686129123967453769002778344182308541242157/1942082458808560170897210741001168664507307187452657687328764119920132944297984000000000000/Pi^46*Derivative[51][C0][x]-1732952734863037809571592765/29014219670751100192948224/Pi^22*Derivative[3][C0][x]-519154625116155147984500741132299/1235365124003666683927334045614080/Pi^26*Derivative[11][C0][x]-17770135839791961543273445771029176471592870204886153/3144601282628553200253354723060363054974350468439085910517339204668281229148160000000000000/Pi^48*Derivative[55][C0][x]-84307507641224231491431824190860839980347/65687664537920158499158905500594495507488534236069275621010130844153586506916691968000000000000000/Pi^56*Derivative[71][C0][x]-1/62740717288471131105094166281177282984915180465693366714179344009756882095536564604606246365523971411234062519209077768192000000000/Pi^82*Derivative[123][C0][x]-1467718056739606768229441171038225358919108217/143784186402392234638057997216695160024973346603008000000/Pi^34*Derivative[27][C0][x]

C42[x_]:=522715595593635851090414454351397147093/5283836504525737341026387532928461570048000/Pi^30*Derivative[18][C0][x]+158850827843691593377030790629/16955681988836620944960375480918042923882543544868288666976602530955747862991395114419638271760740122624000000000000/Pi^68*Derivative[94][C0][x]+191/2789357697207620514674543893266354486338509079607066184748140050192330579487663283036524656884775811972110263255040000000000/Pi^80*Derivative[118][C0][x]+13443107477874915183892461557116973/158331661348061325529658433915497002705487505034469038862697221929550535247297317033109094400000000000000/Pi^62*Derivative[82][C0][x]+539604734192768168176728285669711046976601417326017279/106081589594316242917901077353203263461038117854639748582203396718592000000/Pi^40*Derivative[38][C0][x]+44832366748504496220937138796237/86132423773345361088134188050030369471785202738751157141307288729675491174529740466011347353600000000000000/Pi^64*Derivative[86][C0][x]+1239971727478972810495529262441533372897/114228474815152268032585367060948840686443531795701042698010727240840856833505394618793984000000000000000/Pi^60*Derivative[78][C0][x]+782365102519911504572314500107/313048010251178308241765174157325322800029236545630403428464391523317452864516777339958463897272320000000000000/Pi^66*Derivative[90][C0][x]+157032738846721/1525357951686257831075557016357982303076293073910320265486359430711816892401597470741774320557674331111424000000000000/Pi^74*Derivative[106][C0][x]+11950473461949867793793811199391459479020866706960352146357239/178570298463102735532224486024617660265548297378725207626970649203268641175371776000000000/Pi^44*Derivative[46][C0][x]+8389205678332132130476676981470603103992123846283240523581/1830468524394275103604267594966618741259760797369171613344352388890240246349824000000000000/Pi^46*Derivative[50][C0][x]+127392971628113017775480704360329071544241/742104269387630758072474076224736570590101504000/Pi^32*Derivative[22][C0][x]+529264896657206730627090141711979/224611840727939397077697099202560/Pi^26*Derivative[10][C0][x]+1732952734863037809571592765/19342813113834066795298816/Pi^22*Derivative[2][C0][x]+3471543913037/26986726749414915778639897844606429551090581758579780618231777901041508264485517935284747696187639353674458726400000000000/Pi^76*Derivative[110][C0][x]+119636295343332335259883623895002747285361209240173747161/171152610065467633438568181450724919339733283336502011658465242446299136000000000/Pi^42*Derivative[42][C0][x]+1/40806970594127564946402709776375468608074914124028205992962174965695533070267684295678859424731038316249796760461188792320000000/Pi^82*Derivative[122][C0][x]+944165056779486307/15504730523692640924071102064794678987922669854095157268468539240266283936541775366242833735507274366976000000000000/Pi^72*Derivative[102][C0][x]+38502169579398581466493682466027638880512744508008858641/4510354448975682014817150935644826143849034445970050698098316312554354194091855577088000000000000/Pi^50*Derivative[58][C0][x]+8540261485124288066649678365044254125807/7862045667291846502964265884330894423337848461293694079522459296879473418801873158144000000000000000/Pi^58*Derivative[74][C0][x]+169215231737045637537539569563384854435406683737/1995591248662014415204447549108060773517501670091784593366287775045385958080129101987840000000000000000/Pi^56*Derivative[70][C0][x]+145921547/1273622527877282402845349248766992110170630197009113450603654704185656859967551492598948987776441541748798510858240000000000/Pi^78*Derivative[114][C0][x]+1078788702532713827087911994007826859203951301752427/4500977412699225295451626713325398230868059322381755374401646216270457407825552343040000000000000/Pi^52*Derivative[62][C0][x]+13503941379524810061423036034069004804678100650553334393/58875762961775297812462809832456481618747838945933201468493059635473503995559936000000000000/Pi^48*Derivative[54][C0][x]+282573828875184777881499386645/5570730176784211237046059008/Pi^24*Derivative[6][C0][x]+15159862657995733438711/556303988697305403525699263898883158131484682264988281623292495889183798649068329112879451158247112704000000000000/Pi^70*Derivative[98][C0][x]+132632428896559230287628957527487683998426151851/25822868124508468105647613213096024502038065089179407264056518828227043971016163328000000000000000/Pi^54*Derivative[66][C0][x]+1868214069297602466540806187796945581319116095433311/74850406981922883586994709008729074559313626023560977741512704000000/Pi^38*Derivative[34][C0][x]+1/252970572107115600615739678445706804995178007637675654591571115047339748609203428485772385345792652730095740077451001561350144000000000/Pi^84*Derivative[126][C0][x]+951531583661720589148889943884771475646556748839/12008855248327799436970603927538379765285773908283228160000000/Pi^36*Derivative[30][C0][x]+7862636585405943779509349244629381098517513/50960193656704672917971999722379996464637018112000000/Pi^34*Derivative[26][C0][x]+183980276095788137211346569558285431/7194766482197354767192793481656401920/Pi^28*Derivative[14][C0][x]

C43[x_]:=-179058987955237301469257374846013/14974122715195959805179806613504/Pi^26*Derivative[9][C0][x]-59641515369478573084740387421748785422073/69013036867487828603020325932656591248059633793236046630048147708008017670242842582188032000000000000000/Pi^60*Derivative[77][C0][x]-29144023142428512463881245452409/543765301599402532122059267992615968887532845572923971851687428848961434182637250416738304000000000000000/Pi^64*Derivative[85][C0][x]-20540694392453660111524971109403706831240804104322371/174476298674862241641284666699347472797760062260920639115466113024000000/Pi^40*Derivative[37][C0][x]-78616091001143438810302348540734280249/83870420706757735571847421157594628096000/Pi^30*Derivative[17][C0][x]-2947386300043635357044031840345386598541738387/2175517255131847724088877523104778942986553244254208000000/Pi^36*Derivative[29][C0][x]-685782498193688675863971674865936802991713425249653492543/338716582617919409852685915439201566218816763263216331409770789965471416320000000000/Pi^44*Derivative[45][C0][x]-152323250438497064123/6459890925391301914604983964276055053528101168010206324334732189064544539320765288591414247561750792256880640000000000000/Pi^74*Derivative[105][C0][x]-8862925016128206267726323197/58028439341502200385896448/Pi^24*Derivative[5][C0][x]-351692716619584962775512632924120858378112067853/4597842236917281212631047153144972022184323847891471703115927033704569247416617450979983360000000000000000/Pi^58*Derivative[73][C0][x]-10992929175724759275466503881568691188318002993151059/22014825582918495172645502649626198399798125301047346394562560000000/Pi^38*Derivative[33][C0][x]-756884925935880852548188096675230564269/98693402240291559580153757140659798353087211471485700891081268336086500304148660950638002176000000000000000/Pi^62*Derivative[81][C0][x]-4672323865198111226841577858170311/15826316073809570027778128249064780208223700292029092617772366460345493450372792632186789008139878400000000000000/Pi^66*Derivative[89][C0][x]-13768084569692991895276148576986536066993078337923877/1166470978183366038314780414390903313064405460164668283990943873936470912265135063040000000000000/Pi^52*Derivative[61][C0][x]-66498265240551146666472337811/51947555112857294561765856252812631506993086840895492239511649911016384384164813463295460391423836160000000000000/Pi^68*Derivative[93][C0][x]-1417288470015753335829159197/325549094185663122143239209233626424138544836061471142405950768594350358969434786196857054817806210354380800000000000/Pi^70*Derivative[97][C0][x]-46392001087/1101802912803698630410677208552207330637629269039946905240911208097694682246581146047487630078833275681053763174400000000000/Pi^78*Derivative[113][C0][x]-883529450282256963526095584694654039685421233593599907809/47613884003175206294940020403585127936617529950756198732054240379797504000000000/Pi^42*Derivative[41][C0][x]-805281979/23246158378816158416733314488495139994834342355810338700417905660796609008127749842916016924895611019999070420184596480000000000/Pi^80*Derivative[117][C0][x]-22091/1151809653866503849293624872720275323615017737371763878833609777257535207628523347055451677310956726668341037593662586880000000000/Pi^82*Derivative[121][C0][x]-2372527374487717640603057013963965/12847797289638133512844274074386432/Pi^28*Derivative[13][C0][x]-7056039365471603932831227552931243407410969053941647/24781852107567499273780721198073957318191197210290135473176122696642047845439511724032000000000000000/Pi^54*Derivative[65][C0][x]-3160185253826486986484738339722433624098130185047390072291923/20095566602163523156545071345928264925577492604534052073618897939047265265285857280000000000/Pi^46*Derivative[49][C0][x]-1/156851793221177827762735415702943207462287951164233416785448360024392205238841411511515615913809928528085156298022694420480000000000/Pi^84*Derivative[125][C0][x]-4151068797470830731856710145144383637707424492544108917/466668898526892114325483606628852250518971983505107488237241488156632678190284800000000000/Pi^48*Derivative[53][C0][x]-5804762704492401304330163982516779585266016069/1096478708056051876485960191817615809625000917632848677673784491783179097846224781312000000000000000/Pi^56*Derivative[69][C0][x]-386382490726438207/33489872229269221616931728261471226910925499266788592204746705438144844065830200414822174317218889728000000000000/Pi^72*Derivative[101][C0][x]-259870478170948316349659623449256395474458971/117040444771992050987430197164587024847353151488000000/Pi^34*Derivative[25][C0][x]-1732952734863037809571592765/19342813113834066795298816/Pi^22*Derivative[1][C0][x]-63108716886209604295128023434285669733/31003687725084841162787185671153767153664000/Pi^32*Derivative[21][C0][x]-336745691148520177021616860989139945866269963611099389019/902070889795136402963430187128965228769806889194010139619663262510870838818371115417600000000000/Pi^50*Derivative[57][C0][x]-52097427992429/1423812693759715524035384220697579481185785563561433230669696074324430224993148267689536201503406297068863488000000000000/Pi^76*Derivative[109][C0][x]-1/1044262521658173199341773392623877691020094815528325102154005562915418482258791752789268406707432070469835215039717734445253394432000000000/Pi^86*Derivative[129][C0][x]

C44[x_]:=1/4410964891484123594019650810443259366868880500791645231498519497754727669061136363781869749932193065664583948327767710296750338080768000000000/Pi^88*Derivative[132][C0][x]+384715005829327191197902776629977025003990005391216931354629/24656604321067061681000425114858382919708054971302943816270795841963802927702143821414400000000000/Pi^50*Derivative[56][C0][x]+10143076380103425020032755887733012252888787154372617/32355186111640127051848109596205358674630427077754800873778745792735857667005826506896179200000000000000/Pi^56*Derivative[68][C0][x]+365717557321258342895318428077484196910108532092850855403/774209495986588720242927161033904519294593982939125182635028298858496000000000/Pi^42*Derivative[40][C0][x]+84232690895216217998934266307542369544784676004706601087/151927728807601920499104031516457301687546423443201707725416970528146667590462503649280000000000000/Pi^52*Derivative[60][C0][x]+981398290657453335654408879337565394608970842145623/102633219500785525280398613751171088110946971100453829345280000000/Pi^38*Derivative[32][C0][x]+488583986069224839980119803597254304192264949859/22085251031407447240405708372484376579835906038222028800000/Pi^36*Derivative[28][C0][x]+82174882062875015271206934061680227749/9867108318442086537864402489128779776000/Pi^30*Derivative[16][C0][x]+46654877875766305868165118522471845902561726256200781662891859/9022499290767296111101868767559629150259282393872431543257464380796731343597731840000000000/Pi^46*Derivative[48][C0][x]+2171214239804406463320216288213963085425844091399/33545856960548483727356120029345715873856826794216177545933803637908537229151640922349958594560000000000000000/Pi^60*Derivative[76][C0][x]+90434147945312118021998997900499/565902929408445840021604974476680723882719518134416785425771419343204041108066819949286317894297190400000000000000/Pi^68*Derivative[92][C0][x]+11127217835873510687922807938593289/9035813478426819173868500447920128/Pi^28*Derivative[12][C0][x]+131/80950583074276992197036697102626177598456962444056209469302756815148719554945097115447163310653648873630636824784320499632046080000000000/Pi^86*Derivative[128][C0][x]+7881180777496417589468504716915860437406899669568134741/3017968409511130666227626667231956286231525401269978622537792225280000000/Pi^40*Derivative[36][C0][x]+1992808925646294219614558566570946874255057917/65542649072315548552960910412168733914517764833280000/Pi^34*Derivative[24][C0][x]+10666761339023294299815147224520479384799836884016881884293333/181612304564559100465013461504823453105058019200330747650109991561930985177088000000000/Pi^44*Derivative[44][C0][x]+929067963120401709033262682677/1479768609934832373378360041971029200629749254824868829117958039065228904406521755440259340080937319792640000000000000/Pi^70*Derivative[96][C0][x]+133395376397480880519810700103028646077103/5841041081366633278807352036400917517434880000/Pi^32*Derivative[20][C0][x]+11539350903681151101838482663477566333787698439124437219213097519/34943778853170107146453093662007741313788190340172172469774429248250508624500271507046400000000000/Pi^48*Derivative[52][C0][x]+46802904557582043030374219099821900351970479444429/9195684473834562425262094306289944044368647695782943406231854067409138494833234901959966720000000000000000/Pi^58*Derivative[72][C0][x]+55949382152989020111663869800713989/1739155612506546156898695411985140682222384647475724463491468841796208071469537651888658132762624000000000000000/Pi^66*Derivative[88][C0][x]+3635444621/357060992698616193281023710543285350320655498585246802438419030949835914364842237587190019966396585267185721654035401932800000000000/Pi^82*Derivative[120][C0][x]+578889520200484844651/123045541436024798373428265986210572448154307962099168082566327410753229320395529306503128524985729376321536000000000000/Pi^74*Derivative[104][C0][x]+93631934618360014205431695486253636477251428416062166489/6235113990263982817283229453435407661256905218108998085051112470475139237912581149766451200000000000000/Pi^54*Derivative[64][C0][x]+6787711327714041047/769840794419046186788787054501311940172176470229078381272442567083002273375605684047307849640462439242751016960000000000000/Pi^76*Derivative[108][C0][x]+229031344999659869788968048861406002663151/353346748761537682447464068775201747190065325021368558745846516265001050471643354020802723840000000000000000/Pi^62*Derivative[80][C0][x]+181044283158850019673228071242141/3327582825599102178928845914112/Pi^26*Derivative[8][C0][x]+2941193/562156826904701334701643729879348455544840016972612565759046922327421663576007618857271967435094783844657200172113336803000320000000000/Pi^84*Derivative[124][C0][x]+2273436285972767/180599868750867123332532742445296592891472275838286949250358054544709084872591779156479494147704410839894464659456000000000000/Pi^78*Derivative[112][C0][x]+18218257912441298725022867653/9375813912547097917725289225928441015190091278570368901291382135517290338319721842469483178752818858206167040000000000000/Pi^72*Derivative[100][C0][x]+59181453148867538693099200581866613883/11534255009647987484845795617134501651004279323276241912835932577713065774676156549361519558656000000000000000/Pi^64*Derivative[84][C0][x]+14865387073/1111878541348129273530108393454579821203332994883377389499966408843287591328111090009435402492527153267249981371187200000000000/Pi^80*Derivative[116][C0][x]+2841334863365615119101138201335/7427640235712281649394745344/Pi^24*Derivative[4][C0][x]+1734250462582028438243189365/38685626227668133590597632/Pi^22*Derivative[0][C0][x]

C45[x_]:=-25890581618276370931211377/31037177089811082762125095368590701291663750439405359121516299483091719740644596444036909833112779668544552960000000000000/Pi^74*Derivative[103][C0][x]-2780198960170693112153/872297366066688205696133146010782543665811092298925964879229403450944879934618293325795956733412304356690264305172480000000000000/Pi^78*Derivative[111][C0][x]-97209902441351801692086270469585914422957/401571574343956037918005452502563079323648000/Pi^32*Derivative[19][C0][x]-238442225360442941/56823942703772831685348102082988119987372836869758605712132658281947266464312277393794708038633715826664394360451235840000000000000/Pi^80*Derivative[115][C0][x]-8040934475619487426167405078024149725302230016541420324339/696788546387929848218634444930514067365134584645212664371525468972646400000000/Pi^42*Derivative[39][C0][x]-495506179179863748104802089731230281802042067301/108184523221583087356024638897528753463160561126858157720374753734225158762743940023058432000000000000000000/Pi^60*Derivative[75][C0][x]-6589223735495053087595549500896789183142035617088637222962611089/40386425396767896878265507816695482863065359286857550717438173894994892680866037760000000000/Pi^46*Derivative[47][C0][x]-2605152761093/632038998569964296152616683030643033900930422783080546845017595014652078300985110211807621549713495760305760169212090777600000000000/Pi^82*Derivative[119][C0][x]-1019/732584462210651513095354724910644141162506447457522257640748930453834566108100426384137224530802252250051011988998375562280960000000000/Pi^86*Derivative[127][C0][x]-58471402302091521642726585735321597300993717653175671/333557963377552957161295494691306036360577656076474945372160000000/Pi^38*Derivative[31][C0][x]-236922426152349762294948449225/309485009821345068724781056/Pi^24*Derivative[3][C0][x]-190259/65354913842157428234473089876226336442619979651763923660603483343496752182850588129798173297420803553368815124176122675200000000000/Pi^84*Derivative[123][C0][x]-15325374326971150276013541553495533505647169227919334447211357253/24539828144374041747775138090915387200461302536428300035916466175520160145363343379529728000000000000/Pi^50*Derivative[55][C0][x]-227609236985188808243681901163352080957475503/574935518178206566254043073790953806267699691520000/Pi^34*Derivative[23][C0][x]-682713477079612358984679860553741554467/9867108318442086537864402489128779776000/Pi^30*Derivative[15][C0][x]-1012046978313772503666489484534700481758340921979339067677/618823444747713985501613266678558856157346392259543231736779308852156825600000000/Pi^44*Derivative[43][C0][x]-11075859570020522669895287309713847264299/24101967704997517707995443849087445492543403222510192217611425530496913758486830884787385794560000000000000000/Pi^64*Derivative[83][C0][x]-77565477050306982290350684902040117091040613151119781/3115449796073823544849250737886911403372130822852677282421792937083987582945067008000000000000/Pi^52*Derivative[59][C0][x]-379990464907358562168593406615664196069/116614960543859989678365155519424696271122002151793314025691121286756267529062682552955287428399104000000000000000/Pi^66*Derivative[87][C0][x]-73721144333316622567731818908419239/891384424555982358249345453853977113712682289215932889921055675913102173368690486015203840572564623589376000000000000000/Pi^70*Derivative[95][C0][x]-755176409106373862724451511551698555229473819077731021/42755067361810167889942144823557081105761635781318844011779056940400954774257699312684236800000000000000/Pi^56*Derivative[67][C0][x]-19879980849886056248129677052833073/2635445597874488925711645963976704/Pi^28*Derivative[11][C0][x]-40721306203865711092906893353/137879616360986734084195429793065309046913107037799542666049737287018975563525321212786517334600277326561280000000000000/Pi^72*Derivative[99][C0][x]-4991684270918348680217149496593897/271308275551021200476196484269681946426692005006213016304669139320208459149247873694630668710969344000000000000000/Pi^68*Derivative[91][C0][x]-67/167082003465307711894683742819820430563215170484532016344640890066466957161406680446282945073189131275173634406354837511240543109120000000000/Pi^88*Derivative[131][C0][x]-11640810405311723781067531885397041652479430674902175561/209581139549384074043585185224441408766078152865970737676235571200000000/Pi^40*Derivative[35][C0][x]-24942600288431094271409208966627208678360420632485941/77652446667936304924435463030892860819113024986611522097068989902566058400813983616550830080000000000000000/Pi^58*Derivative[71][C0][x]-952171410746400313171419386415528692456397735707/2760656378925930905050713546560547072479488254777753600000/Pi^36*Derivative[27][C0][x]-223949852626902126074098942998379010068790383/4346021954403042426216177493680416631430843957145415714452962414627826685558107325972464271360000000000000000/Pi^62*Derivative[79][C0][x]-402842676299715430005035621279731162849798728058980468410314788557/34271783105993758932098226476199900134676878987476553768432613301168768074029112439603200000000000/Pi^48*Derivative[51][C0][x]-1/19055368331211413926164891501114880464873563763419907400073604230300423530344109091537677319707074043671002656775956508481961460508917760000000000/Pi^90*Derivative[135][C0][x]-5995765783105628044884515043226473132915661144703384717897/7935599623972341767451382940735973387054243004865997562792324962422904484616012372430028800000000000000/Pi^54*Derivative[63][C0][x]-17384381450923444787/9396204982387348239425431220765170986949965335287572835395974093184792057193840419769329814635273879646371840000000000000/Pi^76*Derivative[107][C0][x]-364929901181065654465557280685617/1663791412799551089464422957056/Pi^26*Derivative[7][C0][x]

C46[x_]:=1311952661/1619011661485539843940733942052523551969139248881124189386055136302974391098901942308943266213072977472612736495686409992640921600000000000/Pi^86*Derivative[126][C0][x]+22067678052450764061892837051005230094579889089038837/7173289535001138863683774079382925513130702281214514954240000000/Pi^38*Derivative[30][C0][x]+424073958790023249852422162958207948856631979920530397/374252034909614417934973545043645372796568130117804888707563520000000/Pi^40*Derivative[34][C0][x]+59605378562198690436885847/172815002036068108819512531012313024791983762446609039588602755521854695515909113000397513950771957194456070881280000000000000/Pi^76*Derivative[106][C0][x]+12561719672605792704824459430972544538831/6381170640960018635200141310022919379955795957746130143485818156811302959190309989297713328081998970880000000000000000/Pi^68*Derivative[90][C0][x]+47379234143001908957545152967577090803596077079587/12241295171568569500508899940533173511863543812626254262375844134535045164322002301489107697664000000000000000000/Pi^62*Derivative[78][C0][x]+110834795504090916414459082648431590511821254146204428267/5746281053427286564408224264286071700614363849009252635183105252789888321660234787624761425920000000000000000/Pi^58*Derivative[70][C0][x]+2558270872072910077386558494043709711/254681264158852102356955843958279175346480654061695111406015907403743478105340138861486811592161321025536000000000000000/Pi^70*Derivative[94][C0][x]+2098948719115137057391186798325723414131437026479/408986130211249022970476080971932899626590852559667200000/Pi^36*Derivative[26][C0][x]+3131066619592844187373195080670184192862313396833305257469544517/633157844966126042884341667898921343877844378517363617070699254792753076743700480000000000/Pi^46*Derivative[46][C0][x]+18092793136206756004768960028586043/441376035064351685600518001571485088726784998786499822546173252578445539318560004864791459584562525196255232000000000000000/Pi^72*Derivative[98][C0][x]+137/1411508765274919550086288259341842997398041760253326474079526239281512854099563636410198319978301781012666863464885667294960108185845760000000000/Pi^90*Derivative[134][C0][x]+4934058190186397751628170504888288850669/9209301097212614102006775656520194457600/Pi^30*Derivative[14][C0][x]+366825280590284452563916868279417/475368975085586025561263702016/Pi^26*Derivative[6][C0][x]+357784674993963800793489691606269093127166929/73068728062782105410212832120589446950409994240000/Pi^34*Derivative[22][C0][x]+202084177609490153371486786054501283/4791719268862707137657538116321280/Pi^28*Derivative[10][C0][x]+34317198872750623477593708073/257165181601291828600465075911180096416642503640787261292563624288474249279626656250591538617220174396512010240000000000000/Pi^74*Derivative[102][C0][x]+507498028974396287120314072294980418398420742725141586651837910644619/1263352004691534642987150309318741416729265343067763158522613980513672234885779046793216000000000000/Pi^48*Derivative[50][C0][x]+126853/351751586242753077673018405936464064343610885230593718620296610666246225602961432518490410680398171105628704013378605286822196019200000000000/Pi^88*Derivative[130][C0][x]+19313824399/15640858417944716448790087516064979612268358195805299932591368751295923431021711527374865941283576641748366544987435206443008000000000/Pi^84*Derivative[122][C0][x]+272921763525486106321/244780060877790659567653362819025747637913758823575532298417604906849763230883656465577203858729852791785083398866862080000000000000/Pi^80*Derivative[114][C0][x]+120008306054477961579878890518524552862641/388716535146199965594550518398082320903740007172644380085637070955854225096875608509850958094663680000000000000000/Pi^66*Derivative[86][C0][x]+478016100009846567994651596143859974224566954994557580976224547921/446350026152390570541932431708041794711750539574587063693277419973301088851984780061590316646400000000000/Pi^52*Derivative[58][C0][x]+36757774791304138649988920285031312748589514726445276371389/135784434680724790934913379012100177230128790853938878185220347799797760000000/Pi^42*Derivative[38][C0][x]+327320268566820539558511446183853975149777/135266214515858875930275520842968616193228800/Pi^32*Derivative[18][C0][x]+710767278457049286884845347675/618970019642690137449562112/Pi^24*Derivative[2][C0][x]+24437088409044740082314949314144852066660563970176626474563/672293684683295977668934668220517328366950989986769024292164658223486413555334193663180800000000000000/Pi^54*Derivative[62][C0][x]+11337332266480054594317508332521148876467423831/292887111551129835187560633654110637625387435959943855828414043046598495993131968911936312175493120000000000000000/Pi^64*Derivative[82][C0][x]+25624383876796343977748812065899160322365718738860142489/26988705967519461856453012513420894997517811958578078667660853978481762111930786039568793600000000000000/Pi^56*Derivative[66][C0][x]+1679748982570971504363960580568280581403018220598636549579017/38395836060160486356239632453451047168088376152289798657528539442268707225600000000/Pi^44*Derivative[42][C0][x]+1467757679230109/1082003008177624828124314274373591970668653026015899401328542518029805801105582538143000060504232076567229459557683036160000000000000/Pi^82*Derivative[118][C0][x]+1295362911753730560750606740485247484143472190607308904116890576931/54026760399511845659695056811323126780728519970152512551162822820874049544911577673210265600000000000/Pi^50*Derivative[54][C0][x]+147843513882606895616247134516066744202389309362237/480944185814315178886826093610691267008700025723529427181846647138473652030847898528314818560000000000000000/Pi^60*Derivative[74][C0][x]+1/84148506550629603897944160868923312132881657579262311078725036281006670309999585748230383043826438976851147732322623941456341809607380828160000000000/Pi^92*Derivative[138][C0][x]+55206285128247570374677/78585348294296234747399382523493922852775774080984321160290937247832872066181828227549185291298405797900023811276800000000000000/Pi^78*Derivative[110][C0][x]


a[t_]:=Sqrt[t/(2Pi)]
rho[t_]:=a[t]-NN[t]
CaseC[m_,x_]:=Switch[m,0,C0[x],1,C1[x],2,C2[x],3,C3[x],4,C4[x],5,C5[x],6,C6[x],7,C7[x],8,C8[x],9,C9[x],10,C10[x],11,C11[x],12,C12[x],13,C13[x],14,C14[x],15,C15[x],16,C16[x],17,C17[x],18,C18[x],19,C19[x],20,C20[x],21,C21[x],22,C22[x],23,C23[x],24,C24[x],25,C25[x],26,C26[x],27,C27[x],28,C28[x],29,C29[x],30,C30[x],31,C31[x],32,C32[x],33,C33[x],34,C34[x],35,C35[x],36,C36[x],37,C37[x],38,C38[x],39,C39[x],40,C40[x],41,C41[x],42,C42[x],43,C43[x],44,C44[x],45,C45[x],46,C46[x]]
RSM[m_,t_]:=2Sum[Cos[t Log[n]-theta[t]]/Sqrt[n],{n,1,NN[t]}]+((-1)^(NN[t]+1)/a[t]^(1/2))Sum[CaseC[j,rho[t]]/a[t]^j,{j,0,m-1}]

n=1/1;
out=Table[{m,Log[Abs[RSM[m,2Pi n^2]-N[RiemannSiegelZ[2Pi n^2],50]]]},{m,0,46}];
ListPlot[out,Joined->True]

b[n_,ω_]:=Module[{},If[n<0,0,If[n==0,1,(π I (2n-1)b[n-1,ω]-b[n-3,ω])/(4π^2 ω^(-1)n)]]]
Ψ[x_]:=Cos[2Pi(x^2-x-1/16)]/Cos[2Pi x]
Φ[x_]:=Cos[(x^2+3)π/8]/Cos[π x]
Clear[Ψ,t,ω]
c[n_]:=(n!/2^n)Sum[((2π I)^j/j!)Derivative[n-2j][Ψ][x]/(n-2j)!,{j,0,Floor[n/2]}]
thetaPoly[ω_]=Normal[Series[RiemannSiegelTheta[t]-((t/2)Log[t/(2Pi)]-t/2-Pi/8),{t,Infinity,31}]]/.t->2Pi/ω^2;

Timing[
B={0,0,b[0,ω]};
For[n=1,n<190,n++,{
val=Expand[(π I (2n-1)B[[(n-1)+3]]-B[[(n-3)+3]])/(4π^2 ω^(-1)n)];
B=Append[B,val];
}
]]

Cj[J_]:=Expand[Simplify[Coefficient[Series[Exp[-I thetaPoly[ω]]Sum[B[[n+3]]c[n],{n,0,3J+2}],{ω,0,J}],ω,J]]]

For[j=1,j<5,j++,{
Print["C",j,"[x_]:=",Cj[j]];
}]

Cj[47]

out=Table[{n,Exponent[b[n,ω],ω,Min]},{n,0,30}];
out1=Table[{n,Floor[n/3]},{n,0,30}];
ListPlot[{out,out1},Joined->True]

out2=Table[J,For[J=1,J<48,J++,{
Cj=Expand[Simplify[Coefficient[Series[Exp[-I thetaPoly[ω]]Sum[B[[n+3]]c[n],{n,0,K}],{ω,0,J}],ω,J]]]
}
],{J,0,47}];

For[J=1,J<48,J++,{
Cj=Expand[Simplify[Coefficient[Series[Exp[-I thetaPoly[ω]]Sum[B[[n+3]]c[n],{n,0,K}],{ω,0,J}],ω,J]]]}]
Do[Print[Expand[Simplify[Coefficient[Series[Exp[-I thetaPoly[ω]]Sum[B[[n+3]]c[n],{n,0,K}],{ω,0,J}],ω,J]]]],{J,49}]