Ff[2] = -635/13824 + ((563*z^6)/1658880 + (301*z^7)/60)*Cf[z]^2 + 
     ((-13*z^2)/64 + 7920*z^3)*Cf[z]^2*S2[z]^2 + (5*Cf[z]^2*S2[z]^3)/24 + 
     (195*tS0[z])/4 + ((117*z^2)/32 - 108576*z^3)*Cf[z]*tS1[z] + 
     S2[z]*(((665*z^4)/4608 - 8064*z^5 + 121264128*z^6)*Cf[z]^2 - 
       (13*Cf[z]*tS1[z])/4)
 
Ff[3] = -6240491/20065812480 + z/128 + ((128909*z^12)/53508833280 + 
       (202927*z^13)/1451520 + (213623*z^14)/42 + (204383232*z^15)/7)*
      Cf[z]^4 + ((-5*z^2)/192 + 8640*z^3)*Cf[z]^4*S2[z]^5 + 
     (5*Cf[z]^4*S2[z]^6)/16 + (635/576 + ((-563*z^6)/69120 - (602*z^7)/5)*
        Cf[z]^2)*tS0[z] - 585*tS0[z]^2 + 
     (((63949*z^8)/2949120 - (5671021*z^9)/2880 + 54616560*z^10 - 
         511729975296*z^11)*Cf[z]^3 + ((-351*z^2)/4 + 2605824*z^3)*Cf[z]*
        tS0[z])*tS1[z] + ((-3187*z^4)/1024 + 197397*z^5 - 2893086720*z^6)*
      Cf[z]^2*tS1[z]^2 - (429*Cf[z]*tS1[z]^3)/16 + 
     S2[z]^4*(((173*z^4)/9216 - 24*z^5 + 79211520*z^6)*Cf[z]^4 - 
       (125*Cf[z]^3*tS1[z])/48) + 
     S2[z]^3*(((1525*z^6)/165888 - (2681*z^7)/6 + 27724032*z^8 + 
         27709931520*z^9)*Cf[z]^4 - 5*Cf[z]^2*tS0[z] + 
       ((7*z^2)/32 - 49920*z^3)*Cf[z]^3*tS1[z]) + 
     S2[z]^2*(((-10175*z^8)/1769472 + (107973*z^9)/160 - (125124624*z^10)/5 + 
         527125708800*z^11 - 3584492530827264*z^12)*Cf[z]^4 + 
       ((39*z^2)/8 - 190080*z^3)*Cf[z]^2*tS0[z] + 
       ((1241*z^4)/4608 - 20601*z^5 + 52171776*z^6)*Cf[z]^3*tS1[z] + 
       (163*Cf[z]^2*tS1[z]^2)/16) + 
     S2[z]*(((306359*z^10)/318504960 - (61157*z^11)/576 + (24458928*z^12)/5 - 
         88621350912*z^13 + 633712756654080*z^14)*Cf[z]^4 + 
       ((-665*z^4)/192 + 193536*z^5 - 2910339072*z^6)*Cf[z]^2*tS0[z] + 
       (((-218291*z^6)/829440 + (1305751*z^7)/60 - 671397120*z^8 + 
           6447049998336*z^9)*Cf[z]^3 + 78*Cf[z]*tS0[z])*tS1[z] + 
       ((117*z^2)/64 + 39168*z^3)*Cf[z]^2*tS1[z]^2)
 
Ff[4] = 203821537/61642175938560 + (108490427*z)/20065812480 + 
     ((2264708753*z^18)/133147100027289600 + (1783721069*z^19)/535088332800 + 
       (1442803177*z^20)/4147200 + (34778637653*z^21)/3150 + 
       (22575270166272*z^22)/175 + (57845218367766528*z^23)/175)*Cf[z]^6 + 
     ((1685*z^2)/3072 + 22455*z^3)*Cf[z]^6*S2[z]^8 + 
     (1105*Cf[z]^6*S2[z]^9)/1152 + (20948707/1003290624 - (5*z)/16 + 
       ((-612005717*z^12)/4815794995200 - (375824809*z^13)/87091200 - 
         (1270702493*z^14)/6300 - (10641429504*z^15)/7)*Cf[z]^4)*tS0[z] + 
     (-15875/512 + ((2815*z^6)/12288 + (13545*z^7)/4)*Cf[z]^2)*tS0[z]^2 + 
     (43875*tS0[z]^3)/4 + (-5/256 + ((1706148751*z^14)/15410543984640 - 
         (6391476349*z^15)/348364800 + (1623889439*z^16)/1680 - 
         (4861202956896*z^17)/175 + (13519424316063744*z^18)/35 - 
         (75052565092192223232*z^19)/35 + 19063621361621532672*z^20)*
        Cf[z]^5 + ((-879821*z^8)/737280 + (321494*z^9)/3 - 
         (14986747584*z^10)/5 + 28094048501760*z^11)*Cf[z]^3*tS0[z] + 
       ((78975*z^2)/32 - 73288800*z^3)*Cf[z]*tS0[z]^2)*tS1[z] + 
     (((-345007603*z^10)/7644119040 + (789237377*z^11)/138240 - 
         (1231085298*z^12)/5 + (23256214373376*z^13)/5 - 
         32984837273419776*z^14)*Cf[z]^4 + ((45559*z^4)/256 - 11071728*z^5 + 
         162878459904*z^6)*Cf[z]^2*tS0[z])*tS1[z]^2 + 
     (((2810027*z^6)/737280 - (31284183*z^7)/80 + 12195598464*z^8 - 
         120388632182784*z^9)*Cf[z]^3 + (2145*Cf[z]*tS0[z])/2)*tS1[z]^3 + 
     ((85371*z^2)/1024 - 2339469*z^3)*Cf[z]^2*tS1[z]^4 + 
     S2[z]^7*(((2755*z^4)/18432 + (62403*z^5)/4 + 163503360*z^6)*Cf[z]^6 - 
       (365*Cf[z]^5*tS1[z])/96) + 
     S2[z]^6*(((70021*z^6)/1327104 + (286735*z^7)/96 + 189934848*z^8 - 
         142570782720*z^9)*Cf[z]^6 - (1775*Cf[z]^4*tS0[z])/144 + 
       ((-6215*z^2)/2304 - 43140*z^3)*Cf[z]^5*tS1[z]) + 
     S2[z]^5*(((75815*z^8)/21233664 + (368751*z^9)/256 + (92822742*z^10)/5 + 
         1185971134464*z^11 - 7253344030556160*z^12)*Cf[z]^6 + 
       ((45*z^2)/64 - 332400*z^3)*Cf[z]^4*tS0[z] + 
       ((6617*z^4)/55296 - (177591*z^5)/2 + 650695680*z^6)*Cf[z]^5*tS1[z] + 
       (375*Cf[z]^4*tS1[z]^2)/64) + 
     S2[z]^4*(((89849*z^10)/169869312 + (551453*z^11)/2880 + 
         (171790623*z^12)/20 + 179677792512*z^13 + 1038467139895296*z^14 - 
         14511211055771811840*z^15)*Cf[z]^6 + 
       ((-9547*z^4)/27648 - 25350*z^5 - 2715448320*z^6)*Cf[z]^4*tS0[z] + 
       (((-304121*z^6)/1327104 + (87329*z^7)/12 - 1023884928*z^8 + 
           12241658511360*z^9)*Cf[z]^5 + (395*Cf[z]^3*tS0[z])/4)*tS1[z] + 
       ((6389*z^2)/512 - 198990*z^3)*Cf[z]^4*tS1[z]^2) + 
     S2[z]^3*(((13431443*z^12)/30576476160 - (6147875*z^13)/147456 + 
         (169536131*z^14)/30 - (571231325952*z^15)/5 + 
         (16473832725676032*z^16)/5 - 36007079895392845824*z^17 + 
         165248850627057690869760*z^18)*Cf[z]^6 + 
       ((-308951*z^6)/497664 + (370690*z^7)/9 - 1831580928*z^8 + 
         6574897889280*z^9)*Cf[z]^4*tS0[z] + (1125*Cf[z]^2*tS0[z]^2)/8 + 
       (((-1410593*z^8)/53084160 - (219953*z^9)/1440 - (605433888*z^10)/5 - 
           193605894144*z^11 + 24630507337678848*z^12)*Cf[z]^5 + 
         ((21*z^2)/8 + 1609920*z^3)*Cf[z]^3*tS0[z])*tS1[z] + 
       ((-138905*z^4)/55296 + (1395831*z^5)/4 - 6102252288*z^6)*Cf[z]^4*
        tS1[z]^2 + (589*Cf[z]^3*tS1[z]^3)/96) + 
     S2[z]^2*(((-6663649*z^14)/81537269760 + (6017011373*z^15)/371589120 - 
         (11795312521*z^16)/13440 + (224662572144*z^17)/5 - 
         (29407474348720128*z^18)/35 + (49367770503321747456*z^19)/5 - 
         46489359934516950466560*z^20)*Cf[z]^6 + 
       ((8796787*z^8)/26542080 - (1712222*z^9)/45 + 1455926592*z^10 - 
         29464209063936*z^11 + 202199656191492096*z^12)*Cf[z]^4*tS0[z] + 
       ((-8775*z^2)/64 + 5346000*z^3)*Cf[z]^2*tS0[z]^2 + 
       (((87496079*z^10)/3822059520 - (488561333*z^11)/138240 + 
           175084866*z^12 - (26968810042368*z^13)/5 + 79549932072075264*
            z^14 - 446754805059661332480*z^15)*Cf[z]^5 + 
         ((-7859*z^4)/384 + 1441800*z^5 - 12119113728*z^6)*Cf[z]^3*tS0[z])*
        tS1[z] + (((-177367*z^6)/2211840 + (3788097*z^7)/160 + 
           453905856*z^8 - 18754869952512*z^9)*Cf[z]^4 - 
         (1461*Cf[z]^2*tS0[z])/4)*tS1[z]^2 + ((-10677*z^2)/256 + 1159236*z^3)*
        Cf[z]^3*tS1[z]^3) + S2[z]*(((3079249363*z^16)/493137407508480 - 
         (8661891503*z^17)/8918138880 + (286390352513*z^18)/3225600 - 
         (64430314194*z^19)/25 + (11238175189246464*z^20)/175 - 
         (23870788614711410688*z^21)/35 + (112188300473786230112256*z^22)/
          35 - 31806008826230904717312*z^23)*Cf[z]^6 + 
       ((-9811387*z^10)/191102976 + (197159993*z^11)/34560 - 
         (1289529884*z^12)/5 + (23660221796352*z^13)/5 - 
         33864395217960960*z^14)*Cf[z]^4*tS0[z] + 
       ((49875*z^4)/512 - 5443200*z^5 + 81853286400*z^6)*Cf[z]^2*tS0[z]^2 + 
       (((-2552710903*z^12)/642105999360 + (31616013*z^13)/57344 - 
           (14468961683*z^14)/420 + (33955448880384*z^15)/35 - 
           (482957468772728832*z^16)/35 + 78739425096779169792*z^17)*
          Cf[z]^5 + ((1039433*z^6)/69120 - (6241828*z^7)/5 + 
           37635549696*z^8 - 363212991627264*z^9)*Cf[z]^3*tS0[z] - 
         (8775*Cf[z]*tS0[z]^2)/4)*tS1[z] + 
       (((55889879*z^8)/106168320 - (44935397*z^9)/768 + (13687659828*z^10)/
            5 - 55391339925504*z^11 + 401986461496246272*z^12)*Cf[z]^4 + 
         ((-2691*z^2)/16 + 1256256*z^3)*Cf[z]^2*tS0[z])*tS1[z]^2 + 
       ((6751*z^4)/2048 - 479304*z^5 + 10247440896*z^6)*Cf[z]^3*tS1[z]^3 - 
       (5379*Cf[z]^2*tS1[z]^4)/128)
 
Ff[5] = 9596095657961/26363125805403340800 + (76681393*z)/107017666560 + 
     z^2/64 + ((126348506791*z^24)/1349792041236651048960 + 
       (899530450229*z^25)/13561278706483200 + (115581697637731*z^26)/
        8828957491200 + (9418373010379*z^27)/7257600 + 
       (590075696037857*z^28)/11550 + (1585629616666420224*z^29)/1925 + 
       (9448983259915155406848*z^30)/1925 + (18169097359344822374105088*z^31)/
        1925)*Cf[z]^8 + ((4055*z^2)/768 + 88155*z^3)*Cf[z]^8*S2[z]^11 + 
     (565*Cf[z]^8*S2[z]^12)/128 + (2422242071/34673723965440 - 
       (110890727*z)/418037760 + ((-44988745567*z^18)/33286775006822400 - 
         (20086018871*z^19)/133772083200 - (366318337853*z^20)/21772800 - 
         (788984148656*z^21)/1575 - (1144024388803584*z^22)/175 - 
         (730813883992768512*z^23)/35 + (114506506023469056*z^24)/5)*Cf[z]^6)*
      tS0[z] + (-76363655/74317824 + (675*z)/64 + 
       ((730934509*z^12)/133772083200 + (29273221*z^13)/302400 + 
         (1179558361*z^14)/175 + (453476579328*z^15)/7)*Cf[z]^4)*tS0[z]^2 + 
     (22225/24 + ((-3941*z^6)/576 - 101136*z^7)*Cf[z]^2)*tS0[z]^3 - 
     245700*tS0[z]^4 + (-140696027/40131624960 + 
       ((1414153030693*z^20)/8521414401746534400 - (4658127348733*z^21)/
          61642175938560 + (5032722178571*z^22)/1238630400 - 
         (103801814036897*z^23)/403200 + (251059821500076*z^24)/35 - 
         (3760216150088871936*z^25)/35 + (40072113584026448560128*z^26)/35 - 
         (172040697214642164414283776*z^27)/35 + 
         (134282419019853467495920828416*z^28)/35)*Cf[z]^7 + 
       (15/16 + ((-65346136733*z^14)/6421059993600 + (211286914927*z^15)/
            130636800 - (3335628370321*z^16)/37800 + (438296955778048*z^17)/
            175 - (1225988652107759616*z^18)/35 + (6811774313777665671168*
             z^19)/35 - 1410707980759993417728*z^20)*Cf[z]^5)*tS0[z] + 
       ((8641471*z^8)/163840 - (150500035*z^9)/32 + (661229142048*z^10)/5 - 
         1239824629923840*z^11)*Cf[z]^3*tS0[z]^2 + 
       (-73710*z^2 + 2188892160*z^3)*Cf[z]*tS0[z]^3)*tS1[z] + 
     (((-18586724445713*z^16)/44382366675763200 + (66791838631013*z^17)/
          802632499200 - (113834091136537*z^18)/19353600 + 
         (23223037705816*z^19)/105 - (825581257445751552*z^20)/175 + 
         (1846348470320280109056*z^21)/35 - (8629044603812237977583616*z^22)/
          35 + 2286246205866454793846784*z^23)*Cf[z]^6 + 
       ((254159839*z^10)/63700992 - (1422638417*z^11)/2880 + 
         (107043177876*z^12)/5 - (2027136873996288*z^13)/5 + 
         2878597042991529984*z^14)*Cf[z]^4*tS0[z] + 
       ((-4122441*z^4)/512 + 495147006*z^5 - 7300826431488*z^6)*Cf[z]^2*
        tS0[z]^2)*tS1[z]^2 + 
     (((3664462110823*z^12)/38526359961600 - (2706596129161*z^13)/174182400 + 
         (5876860114859*z^14)/6300 - (945728092706688*z^15)/35 + 
         (13572266725419024384*z^16)/35 - 2215826166067683655680*z^17)*
        Cf[z]^5 + ((-199194661*z^6)/552960 + (709008253*z^7)/20 - 
         1093789661184*z^8 + 10804570884145152*z^9)*Cf[z]^3*tS0[z] - 
       (289575*Cf[z]*tS0[z]^2)/8)*tS1[z]^3 + 
     (((-1059252919*z^8)/212336640 + (17255079143*z^9)/23040 - 
         (189247396098*z^10)/5 + 793519390992384*z^11 - 5985721445743853568*
          z^12)*Cf[z]^4 + ((-356499*z^2)/64 + 158873616*z^3)*Cf[z]^2*tS0[z])*
      tS1[z]^4 + ((-3431891*z^4)/16384 + (196465635*z^5)/16 - 
       174063987072*z^6)*Cf[z]^3*tS1[z]^5 - (91443*Cf[z]^2*tS1[z]^6)/256 + 
     S2[z]^10*(((22835*z^4)/8192 + (998301*z^5)/8 + 469152000*z^6)*Cf[z]^8 + 
       (95*Cf[z]^7*tS1[z])/768) + 
     S2[z]^9*(((2580845*z^6)/2654208 + (13220743*z^7)/192 + 1084425840*z^8 - 
         1815000514560*z^9)*Cf[z]^8 - 45*Cf[z]^6*tS0[z] + 
       ((-58265*z^2)/9216 + 169125*z^3)*Cf[z]^7*tS1[z]) + 
     S2[z]^8*(((5103349*z^8)/21233664 + (4721341*z^9)/192 + 669079134*z^10 + 
         3260110270464*z^11 - 26567158655877120*z^12)*Cf[z]^8 + 
       ((-1975*z^2)/72 - 1009440*z^3)*Cf[z]^6*tS0[z] + 
       ((-1128985*z^4)/442368 - (1605811*z^5)/16 + 4353903360*z^6)*Cf[z]^7*
        tS1[z] - (39115*Cf[z]^6*tS1[z]^2)/2304) + 
     S2[z]^7*(((433489*z^10)/10616832 + (122389307*z^11)/18432 + 
         (1145285106*z^12)/5 + (17491647534336*z^13)/5 - 
         13941645101236224*z^14 - 37141145789933813760*z^15)*Cf[z]^8 + 
       ((-43585*z^4)/6912 - 820616*z^5 - 5882941440*z^6)*Cf[z]^6*tS0[z] + 
       (((-824695*z^6)/1327104 - (3306271*z^7)/48 + 725707008*z^8 + 
           36977629593600*z^9)*Cf[z]^7 + (11345*Cf[z]^5*tS0[z])/72)*tS1[z] + 
       ((35515*z^2)/2304 - 976490*z^3)*Cf[z]^6*tS1[z]^2) + 
     S2[z]^6*(((76714799*z^12)/12230590464 + (7190651789*z^13)/6635520 + 
         (35395881053*z^14)/480 + (4362185618208*z^15)/5 + 
         12622302045241344*z^16 - 162767886923530764288*z^17 + 
         562385229847745506836480*z^18)*Cf[z]^8 + 
       ((-1333145*z^6)/497664 - (1043011*z^7)/9 - 10494123264*z^8 + 
         33737000878080*z^9)*Cf[z]^6*tS0[z] + (3275*Cf[z]^4*tS0[z]^2)/8 + 
       (((-37197053*z^8)/127401984 - (886009*z^9)/768 - (5344686009*z^10)/5 + 
           31763937134592*z^11 + 9598005553397760*z^12)*Cf[z]^7 + 
         ((30395*z^2)/192 + 582160*z^3)*Cf[z]^5*tS0[z])*tS1[z] + 
       ((1328843*z^4)/165888 - (468639*z^5)/8 - 12774107520*z^6)*Cf[z]^6*
        tS1[z]^2 + (75565*Cf[z]^5*tS1[z]^3)/1152) + 
     S2[z]^5*(((141659143*z^14)/244611809280 + (62248618319*z^15)/371589120 + 
         (82021930037*z^16)/6720 + (1857315635028*z^17)/5 + 
         (57829470603669504*z^18)/35 + (69574255446413279232*z^19)/5 - 
         319526656396994203877376*z^20 + 1454155367459587050606428160*z^21)*
        Cf[z]^8 + ((-686543*z^8)/3981312 - (9872483*z^9)/144 - 
         (4033437696*z^10)/5 - 63226653179904*z^11 + 493411861958492160*z^12)*
        Cf[z]^6*tS0[z] + ((-345*z^2)/32 + 10713600*z^3)*Cf[z]^4*tS0[z]^2 + 
       (((30200141*z^10)/7644119040 - (852174109*z^11)/92160 + 
           (5060302867*z^12)/20 - (54465859945728*z^13)/5 + 
           311431096126144512*z^14 - 1522049384722055823360*z^15)*Cf[z]^7 + 
         ((-194501*z^4)/13824 + 5271402*z^5 - 61566566400*z^6)*Cf[z]^5*
          tS0[z])*tS1[z] + (((-1524911*z^6)/995328 + (54647879*z^7)/144 - 
           12940488864*z^8 + 24968997273600*z^9)*Cf[z]^6 - 
         (895*Cf[z]^4*tS0[z])/8)*tS1[z]^2 + ((-33461*z^2)/1536 + 2236530*z^3)*
        Cf[z]^5*tS1[z]^3) + S2[z]^4*(((10266120371*z^16)/493137407508480 + 
         (25068445441*z^17)/1114767360 + (4008444524183*z^18)/3225600 + 
         (17054884672722*z^19)/175 - (24896551797720576*z^20)/175 + 
         (161242161613318914048*z^21)/7 - (11208082515258548334624768*z^22)/
          35 + 2508083746016100482644180992*z^23 - 
         9104687809823888922675851034624*z^24)*Cf[z]^8 + 
       ((6872867*z^10)/477757440 - (50070653*z^11)/3456 - 106648092*z^12 - 
         17369777811456*z^13 + 69803162789216256*z^14 + 296074768094016307200*
          z^15)*Cf[z]^6*tS0[z] + ((-5927*z^4)/1536 + 1861920*z^5 + 
         74318653440*z^6)*Cf[z]^4*tS0[z]^2 + 
       (((-704645933*z^12)/171228266496 - (42741045007*z^13)/92897280 - 
           (103065481493*z^14)/2240 + (34721188033968*z^15)/35 - 
           (283556171396726784*z^16)/35 + 592653856036632920064*z^17 - 
           3948442630019903706365952*z^18)*Cf[z]^7 + 
         ((10786139*z^6)/995328 - (6419353*z^7)/18 + 54593349120*z^8 - 
           795402755112960*z^9)*Cf[z]^5*tS0[z] - (25005*Cf[z]^3*tS0[z]^2)/8)*
        tS1[z] + (((80968039*z^8)/70778880 - (1416685907*z^9)/13824 + 
           (33716100599*z^10)/5 - 200042842558464*z^11 + 1427880737088995328*
            z^12)*Cf[z]^6 + ((-50541*z^2)/64 + 18092880*z^3)*Cf[z]^4*tS0[z])*
        tS1[z]^2 + ((-2847677*z^4)/73728 + (3687843*z^5)/2 - 3349696896*z^6)*
        Cf[z]^5*tS1[z]^3 - (30463*Cf[z]^4*tS1[z]^4)/192) + 
     S2[z]^3*(((521701457*z^18)/46965467381760 - (3839379464917*z^19)/
          6421059993600 + (21278068250069*z^20)/58060800 - 
         (1736235241681*z^21)/1680 + (95803618417443072*z^22)/175 - 
         (272883114878612078592*z^23)/35 + (4277473251926679232708608*z^24)/
          35 - (34934455141442155260564996096*z^25)/35 + 
         3493771900646387059220822360064*z^26)*Cf[z]^8 + 
       ((-9435286747*z^12)/240789749760 + (21554181539*z^13)/4354560 - 
         (147328930031*z^14)/315 + (87460222184448*z^15)/7 - 
         (10497520628542734336*z^16)/35 + 3289981550766197833728*z^17 - 
         14886670607271269763121152*z^18)*Cf[z]^6*tS0[z] + 
       ((846929*z^6)/27648 - 2281865*z^7 + 89456057856*z^8 - 
         515788843253760*z^9)*Cf[z]^4*tS0[z]^2 - 4200*Cf[z]^2*tS0[z]^3 + 
       (((-5686482359*z^14)/2201506283520 + (1016399839523*z^15)/2786918400 - 
           (111683755439*z^16)/2688 + (292456948302384*z^17)/175 - 
           (312413367953571840*z^18)/7 + (29659553099891890716672*z^19)/35 - 
           8008617995460030247206912*z^20 + 32851767509573882856993718272*
            z^21)*Cf[z]^7 + ((48077747*z^8)/13271040 - (543642401*z^9)/2160 + 
           (86962536512*z^10)/5 - 212087829233664*z^11 - 125813662446256128*
            z^12)*Cf[z]^5*tS0[z] + ((-8379*z^2)/16 - 39536640*z^3)*Cf[z]^3*
          tS0[z]^2)*tS1[z] + (((65836801*z^10)/11466178560 + 
           (7568262631*z^11)/829440 - (1810017703*z^12)/6 + 
           (51730261129728*z^13)/5 - 471401541916950528*z^14 + 
           4361474321048301207552*z^15)*Cf[z]^6 + 
         ((145817*z^4)/1152 - 19531134*z^5 + 392002799616*z^6)*Cf[z]^4*
          tS0[z])*tS1[z]^2 + (((244202849*z^6)/19906560 - 
           (291402713*z^7)/180 + 59919213312*z^8 - 565002302717952*z^9)*
          Cf[z]^5 - (7309*Cf[z]^3*tS0[z])/8)*tS1[z]^3 + 
       ((-3545*z^2)/128 - 1978113*z^3)*Cf[z]^4*tS1[z]^4) + 
     S2[z]^2*(((-1168292478247*z^20)/1420235733624422400 + 
         (14724286600733*z^21)/51368479948800 - (5627797449133*z^22)/
          619315200 + (20748348696931*z^23)/9600 - (4211543736109224*z^24)/
          175 + (42736245970447245312*z^25)/35 - 
         (2523636221515817986031616*z^26)/175 + (4153350502126188718454734848*
           z^27)/35 - 420593369324641960909187579904*z^28 + 
         2834845793962220703154949849088*z^29)*Cf[z]^8 + 
       ((309257633*z^14)/42807066624 - (232590178693*z^15)/174182400 + 
         (137307400457*z^16)/1680 - (640445368674624*z^17)/175 + 
         (2538202437923438592*z^18)/35 - (5878792972428172591104*z^19)/7 + 
         3964520000831852610846720*z^20)*Cf[z]^6*tS0[z] + 
       ((-22214023*z^8)/1474560 + (136565071*z^9)/80 - 66538579680*z^10 + 
         1314920718139392*z^11 - 9074101673621716992*z^12)*Cf[z]^4*tS0[z]^2 + 
       (4095*z^2 - 159667200*z^3)*Cf[z]^2*tS0[z]^3 + 
       (((293536531007*z^16)/547930452787200 - (15814057543577*z^17)/
            133772083200 + (6506775456091*z^18)/716800 - 
           (82764056557584*z^19)/175 + (2433761911061538048*z^20)/175 - 
           (8117509241357397393408*z^21)/35 + 2238486179180849104158720*
            z^22 - 9057628789313631130421821440*z^23)*Cf[z]^7 + 
         ((-2113050293*z^10)/955514880 + (2242341451*z^11)/6912 - 
           (84243184192*z^12)/5 + 493568235786240*z^13 - 7183434235363983360*
            z^14 + 40180002758827224072192*z^15)*Cf[z]^5*tS0[z] + 
         ((271747*z^4)/256 - 72290070*z^5 + 792753371136*z^6)*Cf[z]^3*
          tS0[z]^2)*tS1[z] + (((-332680904161*z^12)/4815794995200 + 
           (17954688431203*z^13)/1393459200 - (1363635427366*z^14)/1575 + 
           (1171882422921024*z^15)/35 - (27129003006505254912*z^16)/35 + 
           9187164585709742850048*z^17 - 44397701650807927791943680*z^18)*
          Cf[z]^6 + ((633263*z^6)/13824 - (20072545*z^7)/4 + 
           83444795136*z^8 + 183736338481152*z^9)*Cf[z]^4*tS0[z] + 
         (85689*Cf[z]^2*tS0[z]^2)/8)*tS1[z]^2 + 
       (((-282330389*z^8)/212336640 + (85238303*z^9)/720 - 
           (38929347294*z^10)/5 + 266533244596224*z^11 - 2729960667611136000*
            z^12)*Cf[z]^5 + ((165759*z^2)/64 - 78775632*z^3)*Cf[z]^3*tS0[z])*
        tS1[z]^3 + ((9337589*z^4)/73728 - (29953161*z^5)/4 + 91337445504*z^6)*
        Cf[z]^4*tS1[z]^4 + (69009*Cf[z]^3*tS1[z]^5)/256) + 
     S2[z]*(((498209735449*z^22)/17042828803493068800 - (4764356029033*z^23)/
          1232843518771200 + (2268605519141*z^24)/1783627776 + 
         (2050812763753*z^25)/179200 + (513819637731987*z^26)/175 - 
         (1953256005232395264*z^27)/175 + (87247161933686608232448*z^28)/
          175 - (594488741404710687152799744*z^29)/175 + 
         12665882596245189869715849216*z^30 - 
         (32609520065088019424135608270848*z^31)/7)*Cf[z]^8 + 
       ((-39339223837*z^16)/77052719923200 + (692998750553*z^17)/8360755200 - 
         (5503273359*z^18)/800 + (39143442865712*z^19)/175 - 
         (909235517723983872*z^20)/175 + (394758827805744562176*z^21)/7 - 
         (9275633540825504393723904*z^22)/35 + 2080264434420387982344192*
          z^23)*Cf[z]^6*tS0[z] + ((23621239*z^10)/10616832 - 
         (59592409*z^11)/240 + (55423991808*z^12)/5 - (1025582634860544*z^13)/
          5 + 1468655938012446720*z^14)*Cf[z]^4*tS0[z]^2 + 
       ((-23275*z^4)/8 + 162570240*z^5 - 2444684820480*z^6)*Cf[z]^2*
        tS0[z]^3 + (((-164232579403*z^18)/3945099260067840 + 
           (5719574574481*z^19)/713451110400 - (36560900404603*z^20)/
            46448640 + (59652218159689*z^21)/1680 - (175581648651500352*z^22)/
            175 + (3066659748366255194112*z^23)/175 - 
           (5664710051381669535940608*z^24)/35 + 
           (4582453182514135779237691392*z^25)/7 - 
           5039816584844871402566713344*z^26)*Cf[z]^7 + 
         ((830667169361*z^12)/2407897497600 - (4213954942531*z^13)/87091200 + 
           (4615328363017*z^14)/1575 - (584271650174976*z^15)/7 + 
           (41519570574018871296*z^16)/35 - 6778775043750104137728*z^17)*
          Cf[z]^5*tS0[z] + ((-31338049*z^6)/46080 + (565856727*z^7)/10 - 
           1682521984512*z^8 + 16287348899708928*z^9)*Cf[z]^3*tS0[z]^2 + 
         65520*Cf[z]*tS0[z]^3)*tS1[z] + 
       (((492661752157*z^14)/38526359961600 - (9118302812191*z^15)/
            4180377600 + (50698245787789*z^16)/302400 - 
           (1157113404743168*z^17)/175 + (4970709134161330176*z^18)/35 - 
           (57188136160122479050752*z^19)/35 + 7783400124659807123668992*
            z^20)*Cf[z]^6 + ((-218106883*z^8)/4423680 + (528984481*z^9)/96 - 
           (1246839673248*z^10)/5 + 4979679723749376*z^11 - 
           36108510774995976192*z^12)*Cf[z]^4*tS0[z] + 
         ((297999*z^2)/32 - 150377472*z^3)*Cf[z]^2*tS0[z]^2)*tS1[z]^2 + 
       (((-874691287*z^10)/849346560 + (2726078527*z^11)/18432 - 
           (92822548079*z^12)/10 + 294133591097856*z^13 - 4495244321923006464*
            z^14 + 26636134677115677179904*z^15)*Cf[z]^5 + 
         ((74723*z^4)/1536 + 15316884*z^5 - 461502240768*z^6)*Cf[z]^3*tS0[z])*
        tS1[z]^3 + (((-282510937*z^6)/13271040 + (2418944237*z^7)/960 - 
           93162109392*z^8 + 1041394479169536*z^9)*Cf[z]^4 + 
         (27291*Cf[z]^2*tS0[z])/8)*tS1[z]^4 + 
       ((160935*z^2)/1024 - 1783431*z^3)*Cf[z]^3*tS1[z]^5)
 
Ff[6] = 4289066068503349811/265315123625476130183577600 + 
     (21148435284470581*z)/355413992339511705600 + (1941241*z^2)/880803840 + 
     ((-225772505526275*z^30)/2716826865924875573079834624 + 
       (15283489653720918037*z^31)/12283107575253524545536000 + 
       (1223815360029275149*z^32)/3365662806245376000 + 
       (329140686527088209941*z^33)/4017175658496000 + 
       (452591551591625930179*z^34)/58118860800 + 
       (1277967906146689670793*z^35)/3503500 + 
       (6698681754679764676588032*z^36)/875875 + 
       (65440653493486169407335432192*z^37)/875875 + 
       (4588772496583885657231583084544*z^38)/15925 + 
       (584657726946438958954970188087296*z^39)/1225)*Cf[z]^10 + 
     ((1202785*z^2)/24576 + (3595275*z^3)/8)*Cf[z]^10*S2[z]^14 + 
     (82825*Cf[z]^10*S2[z]^15)/3072 + 
     (-21668375708825887/1107251283826940313600 - (467306393161*z)/
        11557907988480 - (767*z^2)/1024 + 
       ((-4060376154088189*z^24)/404937612370995314688000 - 
         (10786369649144347*z^25)/2847868528361472000 - 
         (620963563114119919*z^26)/927040536576000 - 
         (184775445173406821*z^27)/3048192000 - (5809233634986342853*z^28)/
          2425500 - (76647764873673171456*z^29)/1925 - 
         (17410175142477852065660928*z^30)/67375 - 
         (7157786767086325180101820416*z^31)/13475 + 
         (841713939414061691141357568*z^32)/175)*Cf[z]^8)*tS0[z] + 
     (-3095183035813/184926527815680 + (21937177211*z)/2229534720 + 
       ((12905283183011*z^18)/166433875034112000 + (17693746897709*z^19)/
          4013162496000 + (61276900812877*z^20)/96768000 + 
         (529346162802757*z^21)/31500 + (43169427188851968*z^22)/175 + 
         (25523381475245555712*z^23)/25 - (8931507469830586368*z^24)/5)*
        Cf[z]^6)*tS0[z]^2 + (928046249/20901888 - (2715*z)/8 + 
       ((-17423642777*z^12)/80263249920 - (2031949429*z^13)/1451520 - 
         (22526291873*z^14)/105 - (17904334417920*z^15)/7)*Cf[z]^4)*
      tS0[z]^3 + (-7261225/256 + ((1287581*z^6)/6144 + (6195483*z^7)/2)*
        Cf[z]^2)*tS0[z]^4 + (12041055*tS0[z]^5)/2 + 
     (41500156003/69347447930880 + (193*z)/4096 + 
       ((-1319168234553871*z^26)/231392921354854465536000 + 
         (140846288741437757*z^27)/149124752030564352000 - 
         (1512120892435224313*z^28)/10787380789248000 + 
         (10687449495750071987*z^29)/1072963584000 - 
         (3003434915826750721*z^30)/38808000 + (1256006089919946914688*z^31)/
          67375 - (1222748633003682283167744*z^32)/67375 + 
         (165740868117474208209684135936*z^33)/67375 - 
         (104758705682554526444343533764608*z^34)/13475 + 
         (8241785836624034541889056002801664*z^35)/1925 + 
         (4760546100081876305558046512561258496*z^36)/35 + 
         2784840302063393251849682115297804288*z^37)*Cf[z]^9 + 
       (158698277/836075520 + ((-92387277203969*z^20)/2130353600436633600 + 
           (221511546449531*z^21)/18059231232000 - (6245597222286017*z^22)/
            6967296000 + (34750994625584197*z^23)/756000 - 
           (1139565607697604512*z^24)/875 + (3634769145018594557952*z^25)/
            175 - (35888288640499934985977856*z^26)/175 + 
           (5877789042506816201108226048*z^27)/7 - 
           (10191169600549753463988314701824*z^28)/35)*Cf[z]^7)*tS0[z] + 
       (-8685/256 + ((5453460261689*z^14)/8561413324800 - 
           (137651357729419*z^15)/1393459200 + (39490453676489*z^16)/7200 - 
           (27122128957495104*z^17)/175 + (15212489209542623232*z^18)/7 - 
           (84571107274011439005696*z^19)/7 + 71774534426505070510080*z^20)*
          Cf[z]^5)*tS0[z]^2 + ((-1639685*z^8)/768 + (757934717*z^9)/4 - 
         5346978213888*z^10 + 50136499259965440*z^11)*Cf[z]^3*tS0[z]^3 + 
       ((36123165*z^2)/16 - 67044594240*z^3)*Cf[z]*tS0[z]^4)*tS1[z] + 
     (((-8901906160591153*z^22)/4090278912838336512000 + 
         (3190992269655251*z^23)/4623163195392000 - (518777107250433737*z^24)/
          8026324992000 + (13486340765536153*z^25)/3584000 - 
         (14037641206690282*z^26)/105 + (75118614854122973952*z^27)/25 - 
         (291259997578426321207296*z^28)/7 + (59896199585314839145520037888*
           z^29)/175 - (43276337702463670489371641905152*z^30)/35 + 
         (1742370686267257031502629582143488*z^31)/5)*Cf[z]^8 + 
       ((63007568483861*z^16)/1232843518771200 - (437662531761457*z^17)/
          44590694400 + (509756897327249*z^18)/725760 - 
         (13917074262693986*z^19)/525 + (98763361230261556224*z^20)/175 - 
         (221737413796528074522624*z^21)/35 + (1036885482749637695568347136*
           z^22)/35 - 211525104412924197753323520*z^23)*Cf[z]^6*tS0[z] + 
       ((-205610472187*z^10)/849346560 + (454312446797*z^11)/15360 - 
         (6423529541814*z^12)/5 + (121891954435052544*z^13)/5 - 
         173231762793501818880*z^14)*Cf[z]^4*tS0[z]^2 + 
       ((5294535*z^4)/16 - 20198529360*z^5 + 298262954557440*z^6)*Cf[z]^2*
        tS0[z]^3)*tS1[z]^2 + 
     (((125934568463921471*z^18)/95865912019648512000 - 
         (50392249246329089*z^19)/165112971264000 + 
         (1134555532541015639*z^20)/41803776000 - (5884275188859894107*z^21)/
          4536000 + (259504797014107056*z^22)/7 - 
         (110698990132566688579584*z^23)/175 + (207967980247431752951267328*
           z^24)/35 - (838491236968877971745399635968*z^25)/35 + 
         167014479187994038565515296768*z^26)*Cf[z]^7 + 
       ((-9383110845511*z^12)/802632499200 + (215836371508019*z^13)/
          116121600 - (466801984729861*z^14)/4200 + (112891811207770368*z^15)/
          35 - (324279855169758167040*z^16)/7 + 265050633395852707627008*
          z^17)*Cf[z]^5*tS0[z] + ((3361252519*z^6)/147456 - 
         (35028811875*z^7)/16 + 67045803159168*z^8 - 662575347941769216*z^9)*
        Cf[z]^3*tS0[z]^2 + 1164735*Cf[z]*tS0[z]^3)*tS1[z]^3 + 
     (((-486037822418131*z^14)/2465687037542400 + (3547968579761549*z^15)/
          89181388800 - (557029094831869*z^16)/179200 + 
         (21693571051294353*z^17)/175 - (95280915979760057856*z^18)/35 + 
         31576988327158070378496*z^19 - 151545013794124328677146624*z^20)*
        Cf[z]^6 + ((48694149187*z^8)/70778880 - (12321063225*z^9)/128 + 
         (23585871756978*z^10)/5 - 97775450462785536*z^11 + 
         734945428775821639680*z^12)*Cf[z]^4*tS0[z] + 
       ((273571155*z^2)/1024 - 7696827765*z^3)*Cf[z]^2*tS0[z]^2)*tS1[z]^4 + 
     (((12087978649*z^10)/2038431744 - (31857219463*z^11)/24576 + 
         (7758225689059*z^12)/80 - 3297417430756608*z^13 + 
         52797169429718040576*z^14 - (1628176737003516677062656*z^15)/5)*
        Cf[z]^5 + ((82085697*z^4)/4096 - 1181299788*z^5 + 16933584252672*z^6)*
        Cf[z]^3*tS0[z])*tS1[z]^5 + 
     (((102686307019*z^6)/212336640 - (169633706891*z^7)/3840 + 
         1299057585138*z^8 - 12402901075046400*z^9)*Cf[z]^4 + 
       (229185*Cf[z]^2*tS0[z])/8)*tS1[z]^6 + 
     ((9122571*z^2)/4096 - (249946749*z^3)/4)*Cf[z]^3*tS1[z]^7 + 
     S2[z]^13*(((7838185*z^4)/196608 + (15804015*z^5)/16 + 1325918160*z^6)*
        Cf[z]^10 + (81905*Cf[z]^9*tS1[z])/768) + 
     S2[z]^12*(((845729515*z^6)/42467328 + (1391198833*z^7)/1536 + 
         6151353138*z^8 - 16401873254400*z^9)*Cf[z]^10 - 
       (236755*Cf[z]^8*tS0[z])/1152 + ((252185*z^2)/2048 + 2697765*z^3)*
        Cf[z]^9*tS1[z]) + S2[z]^11*
      (((2354862235*z^8)/339738624 + (1506261737*z^9)/3072 + 
         7461587538*z^10 - 1686535271424*z^11 - 117501536647249920*z^12)*
        Cf[z]^10 + ((-196325*z^2)/768 - 3850440*z^3)*Cf[z]^8*tS0[z] + 
       ((1117965*z^4)/16384 + (52772263*z^5)/16 + 26795767680*z^6)*Cf[z]^9*
        tS1[z] + (111775*Cf[z]^8*tS1[z]^2)/9216) + 
     S2[z]^10*(((72344901373*z^10)/40768634880 + (53977616831*z^11)/294912 + 
         (36986041683*z^12)/8 + 23435897577984*z^13 - 188962626466971648*
          z^14 + 52817443504835788800*z^15)*Cf[z]^10 + 
       ((-14620775*z^4)/110592 - 6110091*z^5 - 12655422720*z^6)*Cf[z]^8*
        tS0[z] + (((90661423*z^6)/3538944 + (113698537*z^7)/64 + 
           39261750228*z^8 + 92101487063040*z^9)*Cf[z]^9 - 
         (24155*Cf[z]^7*tS0[z])/192)*tS1[z] + 
       ((3635945*z^2)/221184 + (1125175*z^3)/8)*Cf[z]^8*tS1[z]^2) + 
     S2[z]^9*(((22618176649*z^12)/65229815808 + (263725056769*z^13)/5308416 + 
         (2452690294549*z^14)/1280 + 20481273488304*z^15 - 
         23096182074126336*z^16 - 838094062056099545088*z^17 + 
         2936228146655698542919680*z^18)*Cf[z]^10 + 
       ((-180825683*z^6)/3981312 - (965030441*z^7)/288 - 51681463920*z^8 + 
         205015053680640*z^9)*Cf[z]^8*tS0[z] + (1826285*Cf[z]^6*tS0[z]^2)/
        1152 + (((407255317*z^8)/63700992 + (267619127*z^9)/384 + 
           19760137374*z^10 + 272882050246656*z^11 - 597774267328757760*z^12)*
          Cf[z]^9 + ((816205*z^2)/2304 - 14526600*z^3)*Cf[z]^7*tS0[z])*
        tS1[z] + ((206489965*z^4)/5308416 - (84058583*z^5)/64 + 
         20936839680*z^6)*Cf[z]^8*tS1[z]^2 + (2275205*Cf[z]^7*tS1[z]^3)/
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         (60102053468857*z^15)/5945425920 + (122733956708213*z^16)/215040 + 
         (100035064794861*z^17)/10 + (1457784707900179968*z^18)/35 - 
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       ((-1460579251*z^8)/127401984 - (2627691659*z^9)/2304 - 
         34519116816*z^10 - 91876200542208*z^11 + 1759915012930928640*z^12)*
        Cf[z]^8*tS0[z] + ((3187105*z^2)/3072 + 33718635*z^3)*Cf[z]^6*
        tS0[z]^2 + (((395325715*z^10)/339738624 + (203034252821*z^11)/
            1105920 + (621921743953*z^12)/80 + (676533750291072*z^13)/5 + 
           954222261811347456*z^14 - 7114460157395022643200*z^15)*Cf[z]^9 + 
         ((657415*z^4)/4096 + 4029202*z^5 - 316147449600*z^6)*Cf[z]^7*tS0[z])*
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           38702107170*z^8 + 590915666534400*z^9)*Cf[z]^8 + 
         (778255*Cf[z]^6*tS0[z])/576)*tS1[z]^2 + 
       ((4997875*z^2)/36864 - (5666705*z^3)/4)*Cf[z]^7*tS1[z]^3) + 
     S2[z]^7*(((2731365692987*z^16)/438344362229760 + (28785034587661*z^17)/
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         (496363959996687*z^19)/140 + (870503360743244736*z^20)/35 + 
         (392551153177188630528*z^21)/7 - (86352283259413474716942336*z^22)/
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         (293729320950369719211645814702080*z^24)/7)*Cf[z]^10 + 
       ((-692526107*z^10)/382205952 - (2529337031*z^11)/7680 - 
         10074087109*z^12 - (1039957733058048*z^13)/5 + 1706418258887835648*
          z^14 - 1004228239655467745280*z^15)*Cf[z]^8*tS0[z] + 
       ((397315*z^4)/2048 + (130201671*z^5)/4 + 133357881600*z^6)*Cf[z]^6*
        tS0[z]^2 + (((155546332559*z^12)/856141332480 + (941794991267*z^13)/
            30965760 + (16420354662589*z^14)/6720 + (1395494483399568*z^15)/
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            z^17 - 11245070627763330282946560*z^18)*Cf[z]^9 + 
         ((25164649*z^6)/995328 + (372626135*z^7)/72 - 113995218816*z^8 - 
           2180476038021120*z^9)*Cf[z]^7*tS0[z] - (449275*Cf[z]^5*tS0[z]^2)/
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           (95210746487*z^10)/20 - 230523299688960*z^11 + 5689512277640478720*
            z^12)*Cf[z]^8 + ((-53615*z^2)/64 + 67631120*z^3)*Cf[z]^6*tS0[z])*
        tS1[z]^2 + ((-6149593*z^4)/110592 + (124538777*z^5)/16 - 
         126246110400*z^6)*Cf[z]^7*tS1[z]^3 - (74775*Cf[z]^6*tS1[z]^4)/
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         (1976203504719809*z^19)/10273695989760 + (3193451236156781*z^20)/
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         (3733061953875609447825408*z^24)/35 - 
         (181095706708912703650129772544*z^25)/35 + 
         41287371963458377062211525804032*z^26 - 
         122521822630227134650100159506022400*z^27)*Cf[z]^10 + 
       ((-589983286397*z^12)/1926317998080 - (167535135437*z^13)/3483648 - 
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         (30882777136070787072*z^16)/35 + 14325044730319312257024*z^17 - 
         59109802124400848818667520*z^18)*Cf[z]^8*tS0[z] + 
       ((44600519*z^6)/442368 + (313227767*z^7)/96 + 430142844096*z^8 - 
         2263875725721600*z^9)*Cf[z]^6*tS0[z]^2 - (155275*Cf[z]^4*tS0[z]^3)/
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            159252480 + (8220763348759*z^16)/26880 + (103296945220974*z^17)/
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             z^19)/35 - 48613716387501779806322688*z^20 + 
           155336549487824415065584435200*z^21)*Cf[z]^9 + 
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         ((-1759145*z^2)/256 + 38950500*z^3)*Cf[z]^5*tS0[z]^2)*tS1[z] + 
       (((235594677709*z^10)/183458856960 - (58923338635*z^11)/1327104 + 
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         ((-20234023*z^4)/27648 + (82962201*z^5)/4 + 666781344000*z^6)*
          Cf[z]^6*tS0[z])*tS1[z]^2 + 
       (((-167715257*z^6)/11943936 + (1151114851*z^7)/3456 + 
           91405815864*z^8 - 1911980304875520*z^9)*Cf[z]^7 - 
         (225215*Cf[z]^5*tS0[z])/48)*tS1[z]^3 + 
       ((-11751077*z^2)/24576 + (81778545*z^3)/8)*Cf[z]^6*tS1[z]^4) + 
     S2[z]^5*(((34132794279433*z^20)/757459057933025280 + 
         (1822199835145337*z^21)/102736959897600 + (38764309305273037*z^22)/
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         (611155746670459059*z^24)/175 + (3191139815207179935744*z^25)/175 + 
         (24827052502768804892246016*z^26)/175 - 
         (13657760653745135564674301952*z^27)/5 + 
         (949754493061804390185059846455296*z^28)/35 - 
         176407741491086057669874349095518208*z^29 + 
         (2745878571603041579500425810859731714048*z^30)/5)*Cf[z]^10 + 
       ((-235553069411*z^14)/7705271992320 - (4031689151587*z^15)/557383680 - 
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         (4483319964035715072*z^18)/35 + (12673808713756377612288*z^19)/35 + 
         13707625441602929556455424*z^20 - 83799933990541726843215544320*
          z^21)*Cf[z]^8*tS0[z] + ((167798275*z^8)/21233664 + 
         (578290843*z^9)/256 + (174173881734*z^10)/5 + 2359568030736384*
          z^11 - 22392183544652759040*z^12)*Cf[z]^6*tS0[z]^2 + 
       ((-1725*z^2)/16 - 327009600*z^3)*Cf[z]^4*tS0[z]^3 + 
       (((1586498750681*z^16)/986274815016960 + (7733684506231*z^17)/
            22295347200 + (39930609502513*z^18)/552960 + 
           (383373708859559*z^19)/175 + (15700381526451644928*z^20)/175 - 
           (1554427945585410048000*z^21)/7 + (364292915013596258179743744*
             z^22)/35 - 118401492789660885898418454528*z^23 + 
           447347556952426975713806864351232*z^24)*Cf[z]^9 + 
         ((-1369511389*z^10)/1911029760 + (9026018683*z^11)/13824 - 
           (117381798371*z^12)/5 + (4566472225007616*z^13)/5 - 
           26742077176641748992*z^14 + 153280606312855335075840*z^15)*Cf[z]^7*
          tS0[z] + ((14105377*z^4)/18432 - (453635595*z^5)/2 + 
           3391648174080*z^6)*Cf[z]^5*tS0[z]^2)*tS1[z] + 
       (((-3367580042221*z^12)/30821087969280 + (11469295986067*z^13)/
            222953472 - (78073425025019*z^14)/26880 + (4307279486382108*z^15)/
            35 - (126079692371163426816*z^16)/35 + 52681283552344660770816*
            z^17 - 217359762143595913996664832*z^18)*Cf[z]^8 + 
         ((185049167*z^6)/995328 - (638968513*z^7)/18 + 1321285258656*z^8 - 
           6993939298222080*z^9)*Cf[z]^6*tS0[z] - (173865*Cf[z]^4*tS0[z]^2)/
          64)*tS1[z]^2 + (((3408589777*z^8)/424673280 - (195251914793*z^9)/
            138240 + (793242714163*z^10)/10 - 1030627014561792*z^11 - 
           2132358261099724800*z^12)*Cf[z]^7 + 
         ((18519*z^2)/64 - 127089360*z^3)*Cf[z]^5*tS0[z])*tS1[z]^3 + 
       ((61211093*z^4)/589824 - (566382273*z^5)/32 + 356466164688*z^6)*
        Cf[z]^6*tS1[z]^4 - (6509*Cf[z]^5*tS1[z]^5)/60) + 
     S2[z]^4*(((147298436372383*z^22)/90895086951963033600 + 
         (15101819829858599*z^23)/9862748150169600 + (25027833743200201*z^24)/
          118908518400 + (267240363038855833*z^25)/12902400 + 
         (141602638357689039*z^26)/280 + (2015589488312726745984*z^27)/175 - 
         (10391705488295623156432896*z^28)/175 + 
         (237073746439624362991181365248*z^29)/175 - 
         (527534736809526342595578144227328*z^30)/35 + 
         (3308782299477488619486729309511483392*z^31)/35 - 
         265978003052844485819542505703100907520*z^32)*Cf[z]^10 + 
       ((158999904277*z^16)/98627481501696 - (15469956465983*z^17)/
          9555148800 - (3285215405323*z^18)/483840 - (1306156778149567*z^19)/
          175 + (3428914952494416384*z^20)/35 - 
         (105294547082376256684032*z^21)/35 + (1468239626869816529189339136*
           z^22)/35 - 322842753695273127559072579584*z^23 + 
         1123532588711467472942564332535808*z^24)*Cf[z]^8*tS0[z] + 
       ((-7530816029*z^10)/2548039680 + (2195211569*z^11)/2560 - 
         (308340870261*z^12)/20 + 1184267403926784*z^13 - 
         10332621965018529792*z^14 + 22800914235340200345600*z^15)*Cf[z]^6*
        tS0[z]^2 + ((1541185*z^4)/2304 - 95252040*z^5 - 1782922752000*z^6)*
        Cf[z]^4*tS0[z]^3 + (((89228187378739*z^18)/355058933406105600 - 
           (93281506589*z^19)/4586471424 + (42135649251763*z^20)/3628800 + 
           (42440984464903*z^21)/672 + (4855980087710612496*z^22)/175 - 
           (48870347020765723754496*z^23)/175 + (41399114873093731255320576*
             z^24)/5 - (717860069942576907301813223424*z^25)/7 + 
           741339146864742712255116327518208*z^26 - 
           2478027897088734660994347631846096896*z^27)*Cf[z]^9 + 
         ((-112379877943*z^12)/1926317998080 + (1399486588561*z^13)/
            17418240 - (4135011179581*z^14)/5040 + (2089851955910016*z^15)/
            35 - (82461201130931355648*z^16)/35 - 13777299019329089568768*
            z^17 + 200945887574702660857626624*z^18)*Cf[z]^7*tS0[z] + 
         ((-401247163*z^6)/1327104 + (130448147*z^7)/24 - 1956331070208*z^8 + 
           34802754544926720*z^9)*Cf[z]^5*tS0[z]^2 + 93300*Cf[z]^3*tS0[z]^3)*
        tS1[z] + (((33368787632051*z^14)/1232843518771200 - 
           (100504586092361*z^15)/66886041600 + (3702563116017299*z^16)/
            9676800 - (3178589401822724*z^17)/175 + 
           (16012252705005370368*z^18)/35 - (324038325495382819209216*z^19)/
            35 + 139182132862170513612472320*z^20 - 
           677502751624534888856112070656*z^21)*Cf[z]^8 + 
         ((-4653161821*z^8)/53084160 + (296139099503*z^9)/34560 - 
           (2811910402352*z^10)/5 + 17335379602575360*z^11 - 
           140396023469920223232*z^12)*Cf[z]^6*tS0[z] + 
         ((18191637*z^2)/512 - 978653070*z^3)*Cf[z]^4*tS0[z]^2)*tS1[z]^2 + 
       (((-38466241*z^10)/8388608 + (175272063727*z^11)/276480 - 
           (2002341563605*z^12)/48 + (7956174252026304*z^13)/5 - 
           26981966000230170624*z^14 + 144150209954199719903232*z^15)*
          Cf[z]^7 + ((17186845*z^4)/4608 - (417318489*z^5)/2 + 
           1572301518336*z^6)*Cf[z]^5*tS0[z])*tS1[z]^3 + 
       (((6763549739*z^6)/70778880 - (59110379051*z^7)/7680 + 
           68913726750*z^8 + 1405332584663040*z^9)*Cf[z]^6 + 
         (1385217*Cf[z]^4*tS0[z])/128)*tS1[z]^4 + 
       ((146999*z^2)/128 - (64142967*z^3)/2)*Cf[z]^5*tS1[z]^5) + 
     S2[z]^3*(((4527458877645917*z^24)/19633338781624015257600 + 
         (1939096506357599*z^25)/59176488901017600 + (1296803233409231*z^26)/
          61152952320 + (786450901686613183*z^27)/580608000 + 
         (8114660051875993453*z^28)/84000 + (780702359048412964992*z^29)/
          875 + (22371521943465414336577536*z^30)/875 - 
         (39502370054483992712520400896*z^31)/175 + 
         (88569519151094260504297079832576*z^32)/35 - 
         (563819836878777750448696188362293248*z^33)/35 + 
         (1590244863751372141549194432336743104512*z^34)/35 - 
         227272577582618965658496830216997961728*z^35)*Cf[z]^10 + 
       ((-50855096251861*z^18)/44382366675763200 + (99700123305143*z^19)/
          601974374400 - (1793816299940087*z^20)/58060800 + 
         (10138619590635931*z^21)/12600 - (9277396163426564736*z^22)/175 + 
         (171947676421688988008448*z^23)/175 - (503725178536839994851459072*
           z^24)/35 + (4102752338747114608626386337792*z^25)/35 - 
         410510138838809955697653461286912*z^26)*Cf[z]^8*tS0[z] + 
       ((1551884084783*z^12)/642105999360 - (5285040191071*z^13)/15482880 + 
         (3884080459503*z^14)/140 - (5864884799802624*z^15)/7 + 
         (130382453772454330368*z^16)/7 - 203856068931410366300160*z^17 + 
         915098870723012318390648832*z^18)*Cf[z]^6*tS0[z]^2 + 
       ((-54976555*z^6)/41472 + (314223920*z^7)/3 - 3849119861760*z^8 + 
         26917140824064000*z^9)*Cf[z]^4*tS0[z]^3 + (514575*Cf[z]^2*tS0[z]^4)/
        4 + (((-68705641163339*z^20)/946823822416281600 + 
           (134221214551049*z^21)/6849130659840 - (6388622286373157*z^22)/
            3715891200 + (14818887288502921*z^23)/80640 - 
           (105939562395674652*z^24)/25 + (7137868212312863182848*z^25)/35 - 
           (22636417366364451086794752*z^26)/7 + 
           (206451970013828914835292684288*z^27)/5 - 
           (10351381777438687924399979423072256*z^28)/35 + 
           929371489559260111280826427423850496*z^29)*Cf[z]^9 + 
         ((930718286467*z^14)/2751882854400 - (9402284794025*z^15)/
            167215104 + (57399874259389*z^16)/10800 - 
           (40030914506284832*z^17)/175 + (42634335678535729152*z^18)/7 - 
           (3792868571257977817792512*z^19)/35 + 1010491307290782269964288000*
            z^20 - 4047203108241794161989736464384*z^21)*Cf[z]^7*tS0[z] + 
         ((-4855809037*z^8)/17694720 + (36417112541*z^9)/1440 - 
           1353065989632*z^10 + 21747625009643520*z^11 - 76533869637789548544*
            z^12)*Cf[z]^5*tS0[z]^2 + (32130*z^2 + 752544000*z^3)*Cf[z]^3*
          tS0[z]^3)*tS1[z] + (((1752029942080717*z^16)/177529466703052800 - 
           (410143814354893*z^17)/229323571200 + (49026723985610257*z^18)/
            232243200 - (2012591035775697*z^19)/175 + 
           (69148717558579424448*z^20)/175 - (46553513610207281283072*z^21)/
            5 + (5008391442247763918309031936*z^22)/35 - 
           1202388824710173459469150715904*z^23 + 
           4468304301794672645097307452211200*z^24)*Cf[z]^8 + 
         ((-1881509827*z^10)/191102976 + (23702078603*z^11)/34560 - 
           (799891532078*z^12)/15 + 1413115758153216*z^13 + 
           6383610111351324672*z^14 - 213154842859146968039424*z^15)*Cf[z]^6*
          tS0[z] + ((-21600449*z^4)/6144 + (2956955247*z^5)/4 - 
           16986005938944*z^6)*Cf[z]^4*tS0[z]^2)*tS1[z]^2 + 
       (((8882903874641*z^12)/28894769971200 - (630970302948323*z^13)/
            8360755200 + (829215337056161*z^14)/151200 - 
           (7101026458041312*z^15)/35 + (198354495850418110464*z^16)/35 - 
           94375292122035998687232*z^17 + 567234829452695659836604416*z^18)*
          Cf[z]^7 + ((-216864691*z^6)/207360 + (16701663463*z^7)/120 - 
           5384447398656*z^8 + 55968932562075648*z^9)*Cf[z]^5*tS0[z] + 
         (1833639*Cf[z]^3*tS0[z]^2)/32)*tS1[z]^3 + 
       (((-230507423911*z^8)/5096079360 + (148950454253*z^9)/23040 - 
           (6861220764597*z^10)/20 + 7030769979041280*z^11 - 
           45944886985079390208*z^12)*Cf[z]^6 + 
         ((1574631*z^2)/256 + 24456168*z^3)*Cf[z]^4*tS0[z])*tS1[z]^4 + 
       ((-661351*z^4)/49152 + (38362041*z^5)/2 - 500363310528*z^6)*Cf[z]^5*
        tS1[z]^5 + (2000551*Cf[z]^4*tS1[z]^6)/3072) + 
     S2[z]^2*(((-15411212715559*z^26)/3490371338955380490240 + 
         (43309921633573519*z^27)/8927196039924940800 + 
         (355773868369003009*z^28)/706316599296000 + (93715582158080837*z^29)/
          709632000 + (40656733458862954403*z^30)/7392000 + 
         (2115742355667625558788*z^31)/9625 + (2069444882631144355725312*
           z^32)/1925 + (20246127184228984399809478656*z^33)/875 - 
         (300176835091857362205515723046912*z^34)/1925 + 
         (176988488760182743533324066518728704*z^35)/175 - 
         (103200869123576166110975136138371530752*z^36)/35 + 
         435598309384968397745884244996115136512*z^37)*Cf[z]^10 + 
       ((14283605680241*z^20)/142023573362442240 - (76877881213589*z^21)/
          2751882854400 + (5168426318588209*z^22)/2786918400 - 
         (4660937766387793*z^23)/25200 + (713951974980318672*z^24)/175 - 
         125085579081190539264*z^25 + (286015057681373112236507136*z^26)/
          175 - (464615472271894888721644781568*z^27)/35 + 
         (1647192205909061224653933540016128*z^28)/35 - 
         261365596473483608751819617992704*z^29)*Cf[z]^8*tS0[z] + 
       ((-1245798490763*z^14)/2853804441600 + (9645236280247*z^15)/
          123863040 - (339287334535651*z^16)/67200 + (37029049396126272*z^17)/
          175 - (30209289801140551680*z^18)/7 + 
         (1736197828336075797430272*z^19)/35 - 234516499207214377237217280*
          z^20)*Cf[z]^6*tS0[z]^2 + ((274699507*z^8)/442368 - 
         (418680583*z^9)/6 + 2752125069312*z^10 - 53566142195957760*z^11 + 
         370991390686885969920*z^12)*Cf[z]^4*tS0[z]^3 + 
       ((-4013685*z^2)/32 + 4890520800*z^3)*Cf[z]^2*tS0[z]^4 + 
       (((559997892364973*z^22)/68171315213972275200 - 
           (8149405859217103*z^23)/3698530556313600 + 
           (717502651360550029*z^24)/2675441664000 - (66865022467694453*z^25)/
            4608000 + (3255651526267800529*z^26)/3500 - 
           (15648694065687093209856*z^27)/875 + (76946363974278996736868352*
             z^28)/175 - (173626709094983676207569043456*z^29)/35 + 
           (1241075771825355005318751464718336*z^30)/35 - 
           (558512044035760576770033182715150336*z^31)/5 + 
           615729772745040456515412326130647040*z^32)*Cf[z]^9 + 
         ((-244259521312897*z^16)/3698530556313600 + (159370037341*z^17)/
            11468800 - (40197685678551*z^18)/35840 + (9779366626846114*z^19)/
            175 - (285818773206517890048*z^20)/175 + 
           (192442782159796155973632*z^21)/7 - (9231160488715726841073106944*
             z^22)/35 + 1068633297042979078048780910592*z^23)*Cf[z]^7*
          tS0[z] + ((180146905267*z^10)/1274019840 - (932354778121*z^11)/
            46080 + (5365876916382*z^12)/5 - (153465263371404288*z^13)/5 + 
           442141697099745460224*z^14 - 2467314996898065769562112*z^15)*
          Cf[z]^5*tS0[z]^2 + ((-94355*z^4)/2 + 3155909040*z^5 - 
           38984350187520*z^6)*Cf[z]^3*tS0[z]^3)*tS1[z] + 
       (((-1423603313639747*z^18)/608672457267609600 + 
           (17805273352064981*z^19)/30821087969280 - 
           (103273603252658891*z^20)/1857945600 + (133953082614601609*z^21)/
            40320 - (21599420837018891208*z^22)/175 + 
           (100613768570418676359168*z^23)/35 - (1441052979904403953831378944*
             z^24)/35 + (2382899911908269453268674936832*z^25)/7 - 
           1213535775174475565433263140896768*z^26)*Cf[z]^8 + 
         ((46318648042771*z^12)/4815794995200 - (1185904115674769*z^13)/
            696729600 + (2926997386910701*z^14)/25200 - 
           (154136578799393856*z^15)/35 + (686803245807933259776*z^16)/7 - 
           1144962162697511708393472*z^17 + 5462050164226841593396592640*
            z^18)*Cf[z]^6*tS0[z] + ((-3180630509*z^6)/737280 + 
           (68096628777*z^7)/160 - 9917870817600*z^8 + 49078146684911616*z^9)*
          Cf[z]^4*tS0[z]^2 - 287910*Cf[z]^2*tS0[z]^3)*tS1[z]^2 + 
       (((27140862775477*z^14)/154105439846400 - (370256056916737*z^15)/
            9555148800 + (4044619038986287*z^16)/1209600 - 
           (28422953931287138*z^17)/175 + (175152319660644562944*z^18)/35 - 
           (654143508011033133318144*z^19)/7 + 942981439333023182424637440*
            z^20 - 4024748486724877606631069712384*z^21)*Cf[z]^7 + 
         ((-10320653*z^8)/983040 + (241500373*z^9)/60 + (180020164896*z^10)/
            5 - 10865676454871040*z^11 + 161821187926520758272*z^12)*Cf[z]^5*
          tS0[z] + ((-28864413*z^2)/256 + 3652768548*z^3)*Cf[z]^3*tS0[z]^2)*
        tS1[z]^3 + (((98895809251*z^10)/13589544960 - (492295157447*z^11)/
            491520 + (10049724068727*z^12)/160 - (11494424245403232*z^13)/5 + 
           42510876325834457088*z^14 - 292443246000566276456448*z^15)*
          Cf[z]^6 + ((-144264305*z^4)/12288 + (2907724581*z^5)/4 - 
           9734615023104*z^6)*Cf[z]^4*tS0[z])*tS1[z]^4 + 
       (((-17558806693*z^6)/53084160 + (57710289619*z^7)/1920 - 
           778398441516*z^8 + 5767460956753920*z^9)*Cf[z]^5 - 
         (1177743*Cf[z]^3*tS0[z])/64)*tS1[z]^5 + 
       ((-15956991*z^2)/8192 + (470304621*z^3)/8)*Cf[z]^4*tS1[z]^6) + 
     S2[z]*(513/32768 + ((313480928367749*z^28)/41465611506789920224051200 + 
         (12454134670349371*z^29)/170428288034930688000 + 
         (345296491495475687*z^30)/14063548288204800 + 
         (74204964708718660547*z^31)/17167417344000 + 
         (7640848510307953033*z^32)/22579200 + (823207239367999833408*z^33)/
          67375 + (2620041381796111539208704*z^34)/13475 + 
         (12151494707197255442321375232*z^35)/9625 + 
         (229195774631556564830778260717568*z^36)/67375 - 
         (257096432920754262106821630099456*z^37)/55 + 
         (84833177151479476687729186948264230912*z^38)/1925 - 
         (4973864720661853310013180438467064102912*z^39)/35 - 
         4646265971552938589568793774709274574848*z^40)*Cf[z]^10 + 
       ((-85884120147139*z^22)/25564243205239603200 + (1180553701674547*z^23)/
          1849265278156800 - (73349134350497573*z^24)/668860416000 + 
         (53807720630272351*z^25)/24192000 - (206464758471337333*z^26)/875 + 
         (2349791600884558783488*z^27)/875 - (9560388204323030034284544*z^28)/
          175 + (2856796506475021104505159680*z^29)/7 - 
         (51789419813571400521941080080384*z^30)/35 + 
         (12107010966034824351519392051232768*z^31)/35)*Cf[z]^8*tS0[z] + 
       ((73654177266227*z^16)/2465687037542400 - (24557202756143*z^17)/
          4954521600 + (1256971539134953*z^18)/3225600 - 
         (2355462426894426*z^19)/175 + (52778612149063064064*z^20)/175 - 
         (116046472518724337270784*z^21)/35 + (109086564148527991036575744*
           z^22)/7 - 98425966170544836855201792*z^23)*Cf[z]^6*tS0[z]^2 + 
       ((-1415336903*z^10)/15925248 + (5730034853*z^11)/576 - 
         440277629712*z^12 + 8194828065030144*z^13 - 58696621072633036800*
          z^14)*Cf[z]^4*tS0[z]^3 + ((22812825*z^4)/256 - 4979439360*z^5 + 
         74879386398720*z^6)*Cf[z]^2*tS0[z]^4 + 
       (((-2627738607374977*z^24)/8998613608244340326400 + 
           (91350038796313093*z^25)/1220515083583488000 - 
           (102450512737642679*z^26)/10701766656000 + 
           (2402037269615455061*z^27)/3193344000 - (95311053757846497*z^28)/
            5500 + (10208539314416301988608*z^29)/9625 - 
           (110430720805661896578564096*z^30)/9625 + 
           (360159085445986336369633394688*z^31)/1925 - 
           (2383708410854295543009168530079744*z^32)/1925 + 
           (28085327402493593441235086163836928*z^33)/7 - 
           (3893004493836673773880781732736663552*z^34)/5)*Cf[z]^9 + 
         ((91270276900351*z^18)/19021014289612800 - (11849272261991*z^19)/
            12541132800 + (15364304474549581*z^20)/174182400 - 
           (6456006167022397*z^21)/1575 + (20247666887625967872*z^22)/175 - 
           (350821901792886940237824*z^23)/175 + (652120673168273391728197632*
             z^24)/35 - (2637469933660692686786468511744*z^25)/35 + 
           467833166185779836909474807808*z^26)*Cf[z]^7*tS0[z] + 
         ((-66396617980513*z^12)/3210529996800 + (338655834188633*z^13)/
            116121600 - (91140476109974*z^14)/525 + (173884693261734144*z^15)/
            35 - (2472139158616915181568*z^16)/35 + 404000773326222498201600*
            z^17)*Cf[z]^5*tS0[z]^2 + ((4023725*z^6)/144 - 2328349380*z^7 + 
           68619064412160*z^8 - 665571281527111680*z^9)*Cf[z]^3*tS0[z]^3 - 
         (4013685*Cf[z]*tS0[z]^4)/2)*tS1[z] + 
       (((765630668869015*z^20)/4090278912838336512 - 
           (264014818719424853*z^21)/6164217593856000 + 
           (3136609669253904397*z^22)/668860416000 - 
           (6547143335806001539*z^23)/24192000 + (8463609642731063127*z^24)/
            875 - (5529988513516411671552*z^25)/25 + 
           (554204325933593318824869888*z^26)/175 - 
           (891214452748011823497480241152*z^27)/35 + 
           (451593204863893461778559146131456*z^28)/5 - 
           553367526965630458100989405691904*z^29)*Cf[z]^8 + 
         ((-1104298909711*z^14)/713451110400 + (15859168288159*z^15)/
            59719680 - (12071448542200769*z^16)/604800 + 
           (136970577653179904*z^17)/175 - (590186732580832002048*z^18)/35 + 
           (1355784557812062502256640*z^19)/7 - 923713966381986470682427392*
            z^20)*Cf[z]^6*tS0[z] + ((36629834879*z^8)/11796480 - 
           (89015492111*z^9)/256 + (77259691370196*z^10)/5 - 
           305690180931440640*z^11 + 2215532531801395298304*z^12)*Cf[z]^4*
          tS0[z]^2 + ((-854685*z^2)/2 + 8630634240*z^3)*Cf[z]^2*tS0[z]^3)*
        tS1[z]^2 + (((-1075660694852683*z^16)/29588244450508800 + 
           (3980586674326853*z^17)/535088332800 - (79270947073432363*z^18)/
            116121600 + (36186178968777569*z^19)/1050 - 
           (177736212076706296704*z^20)/175 + (619431517662627079913472*z^21)/
            35 - (5982231773935077561835978752*z^22)/35 + 
           701671464216912756446676910080*z^23)*Cf[z]^7 + 
         ((43991913277*z^10)/318504960 - (455972032589*z^11)/23040 + 
           1200883761078*z^12 - (184577947202525184*z^13)/5 + 
           556289006699538284544*z^14 - 3273272165077320789393408*z^15)*
          Cf[z]^5*tS0[z] + ((-34133353*z^4)/2048 + 138820392*z^5 + 
           9913426942464*z^6)*Cf[z]^3*tS0[z]^2)*tS1[z]^3 + 
       (((7072793160061*z^12)/3805072588800 - (23254526952553*z^13)/
            68812800 + (912834961382117*z^14)/33600 - (8337728322827496*z^15)/
            7 + (1006619377331140374528*z^16)/35 - 358137492347021281984512*
            z^17 + 1810933722127998620604039168*z^18)*Cf[z]^6 + 
         ((1000872041*z^6)/737280 - (28320436803*z^7)/160 + 
           7027205379408*z^8 - 83265991513030656*z^9)*Cf[z]^4*tS0[z] - 
         (23263515*Cf[z]^2*tS0[z]^2)/128)*tS1[z]^4 + 
       (((6435246347*z^8)/84934656 - (94166349743*z^9)/9216 + 
           (2617708923372*z^10)/5 - 11494958312604672*z^11 + 
           90261202026051403776*z^12)*Cf[z]^5 + 
         ((-4941513*z^2)/256 + 343982808*z^3)*Cf[z]^3*tS0[z])*tS1[z]^5 + 
       ((-183384053*z^4)/589824 + (126064125*z^5)/64 + 183048623712*z^6)*
        Cf[z]^4*tS1[z]^6 - (573459*Cf[z]^3*tS1[z]^7)/512)
 
Ff[7] = 1097686050826596243767/1528215112082742509857406976000 + 
     (417904468668285187*z)/127555347896863524126720 + 
     (2240600016033161*z^2)/4613547015945584640 + (352069*z^3)/1572864 + 
     ((-472543405414989531241*z^36)/9389353648636369980563908460544000 + 
       (180128215777650287687*z^37)/5224667049855529948230451200 + 
       (12081980354702649732611*z^38)/1754729653607646363648000 + 
       (1675370006817549018359749*z^39)/444267490424389632000 + 
       (5420621009754011506133627*z^40)/8034351316992000 + 
       (1871589734228861547444289*z^41)/26417664000 + 
       (38058215036074651331102141*z^42)/10510500 + 
       (85077950857626881368027084032*z^43)/875875 + 
       (102628819624644693108314279903232*z^44)/79625 + 
       (1514677759567957559533236563447119872*z^45)/175175 + 
       (4320474671869489376269408405142982623232*z^46)/175175 + 
       (30259722473429254720113661526278351299280896*z^47)/875875)*Cf[z]^12 + 
     ((766375*z^2)/1536 + (21908475*z^3)/8)*Cf[z]^12*S2[z]^17 + 
     (19675*Cf[z]^12*S2[z]^18)/96 + 
     (-1134073829136731939/921233068144014340915200 - (263358981990503141*z)/
        74970139009115750400 - (5837678803*z^2)/53508833280 + 
       ((-1913980486241547959*z^30)/84900839560152361658744832000 - 
         (233854678177625418691*z^31)/3070776893813381136384000 - 
         (2927398804060136281679*z^32)/166600308909146112000 - 
         (5252793587088876452893*z^33)/1506440871936000 - 
         (7421715625095093678061*z^34)/24216192000 - 
         (112040431300014494918033*z^35)/7882875 - 
         (267067692088193681294297088*z^36)/875875 - 
         (2731725641803792954164441513984*z^37)/875875 - 
         (11186767874915769566365270960766976*z^38)/875875 - 
         (19116306874110766229632949774450688*z^39)/875 + 
         (257354011276726203515796980081098752*z^40)/1225 + 
         (16727269534663980060798896805249024*z^41)/5)*Cf[z]^10)*tS0[z] + 
     (30759538485494773/55362564191347015680 + (141319072985*z)/82556485632 + 
       (1735*z^2)/64 + ((2835635268993281*z^24)/3796290115978081075200 + 
         (564978389737705759*z^25)/3844622513287987200 + 
         (2941495017331189897*z^26)/111244864389120 + 
         (9661382485177949119*z^27)/4572288000 + (61962508442538961853*z^28)/
          727650 + (13913389980856176050176*z^29)/9625 + 
         (690213098055031528754774016*z^30)/67375 + 
         (317331258374064810424660918272*z^31)/13475 - 
         (65704818072347896224644333568*z^32)/175)*Cf[z]^8)*tS0[z]^2 + 
     (5800150307213/4623163195392 - (55898605933*z)/167215104 + 
       ((-1923808289003903*z^18)/499301625102336000 - (507327514276081*z^19)/
          6019743744000 - (175773643894829*z^20)/7776000 - 
         (11901882580149274*z^21)/23625 - (292473073096363008*z^22)/35 - 
         (1596676773994998792192*z^23)/35 + 93780828433221156864*z^24)*
        Cf[z]^6)*tS0[z]^3 + (-2384796139505/1337720832 + (1373325*z)/128 + 
       ((1323136836493*z^12)/160526499840 - (148419169*z^13)/11340 + 
         (1407784927897*z^14)/210 + (676789620065280*z^15)/7)*Cf[z]^4)*
      tS0[z]^4 + (7026275/8 + ((-1245919*z^6)/192 - 95920272*z^7)*Cf[z]^2)*
      tS0[z]^5 - 155352600*tS0[z]^6 + 
     (6602724444648226603/57577066759000896307200 + (18012571501*z)/
        1284211998720 + ((-157015384177081153249*z^32)/
          1671893455953769583433744384000 + (945998512673200384481*z^33)/
          36282410068441180196044800 - (9734572135905184792883*z^34)/
          3411974326459312373760 + (315104117862437791378613*z^35)/
          440741557960704000 + (720609041362383595430633*z^36)/
          13948526592000 + (235756160563777293743137*z^37)/41184000 + 
         (139830295688038296062965596*z^38)/875875 + 
         (2818628660115878090955737739264*z^39)/875875 + 
         (15917626738022632386847878426918912*z^40)/875875 + 
         (17928064016744704820009161722307805184*z^41)/175175 - 
         (971472948538551971771740233427448758272*z^42)/875875 - 
         (640063414672451867695873529761271384113152*z^43)/1925 + 
         (93635838416370500035101556680107620192185483264*z^44)/35035 + 
         (699414733710418456509871858689814532783603712*z^45)/7)*Cf[z]^11 + 
       (-21373652345/1155790798848 - (3875*z)/2048 + 
         ((2023276371222460453*z^26)/6184501716211564806144000 - 
           (6420507774107862349*z^27)/246055840850431180800 + 
           (606382337108008713251*z^28)/88995891511296000 - 
           (116822942144312241773*z^29)/402361344000 + 
           (168422282223693269027*z^30)/58212000 - 
           (51008409586170154815936*z^31)/67375 - 
           (190359790249165850033750016*z^32)/67375 - 
           (578761159672145611944502493184*z^33)/6125 - 
           (85210170094783880143651121135616*z^34)/13475 + 
           (1940371632661997364996468429255868416*z^35)/1225 - 
           (377370452242491357727096450173917724672*z^36)/35 - 
           183538381157865511504718111911345913856*z^37)*Cf[z]^9)*tS0[z] + 
       (-5174721583/668860416 + ((47538266952078277*z^20)/
            10651768002183168000 - (3820625760575669341*z^21)/
            3467372396544000 + (3660077351191234963*z^22)/41803776000 - 
           (924616152767312911*z^23)/216000 + (45424460544698428528*z^24)/
            375 - (345939463081808904830976*z^25)/175 + 
           (666251937747429156754292736*z^26)/35 - 
           (2685737026164355374640860758016*z^27)/35 + 
           (525672629174095638923684616339456*z^28)/35)*Cf[z]^7)*tS0[z]^2 + 
       (35925/32 + ((-214626177504589*z^14)/6421059993600 + 
           (889172650937629*z^15)/174182400 - (3605514013076191*z^16)/12600 + 
           (1412989741047885312*z^17)/175 - (793533171146791256064*z^18)/7 + 
           (4413246697420871518126080*z^19)/7 - 3125480722237850281574400*
            z^20)*Cf[z]^5)*tS0[z]^3 + ((16148708087*z^8)/196608 - 
         (465018018285*z^9)/64 + 205540091962416*z^10 - 1927474893394329600*
          z^11)*Cf[z]^3*tS0[z]^4 + (-69908670*z^2 + 2076007864320*z^3)*Cf[z]*
        tS0[z]^5)*tS1[z] + 
     (8965/65536 + ((10285616964598629029*z^28)/
          1243968345203697606721536000 + (98149203606045770117*z^29)/
          157475738144275955712000 + (6681145836148426007447*z^30)/
          34174422340337664000 + (1049115106194172382861*z^31)/
          41201801625600 + (2084321919992743659301*z^32)/894136320 + 
         (14297124813748869658267*z^33)/134750 + 
         (143955863431518104580794112*z^34)/67375 + 
         (319945973669079432468811481088*z^35)/13475 + 
         (290219571424110812263791948988416*z^36)/6125 + 
         (371122418605532101751705328685154304*z^37)/539 - 
         (51166260321361624346833703865698343714816*z^38)/13475 + 
         (84241040801567256179124001767495705821184*z^39)/7 + 
         126667356806130210025127747174861113393152*z^40)*Cf[z]^10 + 
       ((457490519088207643*z^22)/1150390944235782144000 - 
         (3135927131748959371*z^23)/27738979172352000 + 
         (16687311252466206557*z^24)/1504935936000 - 
         (34576659625152653527*z^25)/54432000 + (59522691076538913308*z^26)/
          2625 - (445293950954718161928192*z^27)/875 + 
         (1241259546686253472791134208*z^28)/175 - 
         (10113656743636876528490121265152*z^29)/175 + 
         (1440728708623886912671225498042368*z^30)/7 - 
         (1242109162719081770599764711564115968*z^31)/35)*Cf[z]^8*tS0[z] + 
       ((-976463181023857*z^16)/246568703754240 + (8298887547970207*z^17)/
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         (354870335386792538*z^19)/175 - (1078666489371029105664*z^20)/25 + 
         (16992422853564354791473152*z^21)/35 - 
         (79496321604440408983634706432*z^22)/35 + 
         13003361909458872583745175552*z^23)*Cf[z]^6*tS0[z]^2 + 
       ((987915495769*z^10)/79626240 - (8656064851751*z^11)/5760 + 
         (326703654912252*z^12)/5 - (6209239259803041792*z^13)/5 + 
         8829583018435238952960*z^14)*Cf[z]^4*tS0[z]^3 + 
       ((-13171695495*z^4)/1024 + 781194940785*z^5 - 11547182990868480*z^6)*
        Cf[z]^2*tS0[z]^4)*tS1[z]^2 + 
     (((4610249048598778681031*z^24)/408177113269963277205504000 - 
         (26844951422794812135203*z^25)/7381675225512935424000 + 
         (1754383554150271382599*z^26)/4045267795968000 - 
         (11305397274765204366659*z^27)/402361344000 + 
         (441734493133775071321673*z^28)/349272000 - 
         (66223067823553350470496*z^29)/1925 + (44559720114809167077922013184*
           z^30)/67375 - (106557678431149010639185986453504*z^31)/13475 + 
         (757531572836965176733301919184846848*z^32)/13475 - 
         (1252327090520191889103926140851978240*z^33)/7 + 
         (931356574424569979730713278085326700544*z^34)/35)*Cf[z]^9 + 
       ((-692233821476935631*z^18)/3423782572130304000 + 
         (13185291138291118901*z^19)/288947699712000 - 
         (42408908682575872403*z^20)/10450944000 + 
         (220780576620495172199*z^21)/1134000 - (194900789395493058624*z^22)/
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         (31332456237264621067013455872*z^24)/35 + 
         (126422822888959507891078916210688*z^25)/35 - 
         20289362875303248167438250934272*z^26)*Cf[z]^7*tS0[z] + 
       ((242318230374049*z^12)/267544166400 - (2739897109084763*z^13)/
          19353600 + (11811514445909259*z^14)/1400 - 
         (8577136350118162944*z^15)/35 + (123279369281383936425984*z^16)/35 - 
         20170269815676164716363776*z^17)*Cf[z]^5*tS0[z]^2 + 
       ((-4921681983*z^6)/4096 + (454534807761*z^7)/4 - 
         3461512305153024*z^8 + 34218376018702368768*z^9)*Cf[z]^3*tS0[z]^3 - 
       (589156425*Cf[z]*tS0[z]^4)/16)*tS1[z]^3 + 
     (((-1627184324134426207*z^20)/438244169232678912000 + 
         (9427149324319285063*z^21)/9510507144806400 - 
         (426679303701850547567*z^22)/4013162496000 + 
         (302760329222946294473*z^23)/48384000 - (713189886416610016003*z^24)/
          3150 + (911823245309740028465664*z^25)/175 - 
         (2604275950961990621273260032*z^26)/35 + 
         (21122985304583040688317989388288*z^27)/35 - 
         (10705676799372447205099372221038592*z^28)/5 + 
         11836702512614610384075534888861696*z^29)*Cf[z]^8 + 
       ((76542153230819*z^14)/2446118092800 - (34124287848222613*z^15)/
          5573836800 + (47643943144328011*z^16)/100800 - 
         (3289134955172532792*z^17)/175 + (14440237496231039778816*z^18)/35 - 
         (167464746416377021926998016*z^19)/35 + 
         22979534196078770682995933184*z^20)*Cf[z]^6*tS0[z] + 
       ((-126494286587*z^8)/2211840 + (2953053863539*z^9)/384 - 
         (1847629400293296*z^10)/5 + 7597921893157380096*z^11 - 
         56976039029661002366976*z^12)*Cf[z]^4*tS0[z]^2 + 
       ((-1435551975*z^2)/128 + 325214109000*z^3)*Cf[z]^2*tS0[z]^3)*
      tS1[z]^4 + (((140021072542786633*z^16)/355058933406105600 - 
         (246075621033855733*z^17)/2568423997440 + (54234509388828119*z^18)/
          5806080 - (1351211733215039323*z^19)/2800 + 
         (2541879079958186309664*z^20)/175 - (9026814972551264917880832*z^21)/
          35 + (88114734569039908989088825344*z^22)/35 - 
         10446019135082153574520024203264*z^23)*Cf[z]^7 + 
       ((-5965880888053*z^10)/5096079360 + (10368345438511*z^11)/46080 - 
         (31674064739781*z^12)/2 + (2614531252787592192*z^13)/5 - 
         8254703564789197307904*z^14 + 50540544174541738201841664*z^15)*
        Cf[z]^5*tS0[z] + ((-5162039229*z^4)/4096 + (298084547097*z^5)/4 - 
         1076029591002624*z^6)*Cf[z]^3*tS0[z]^2)*tS1[z]^5 + 
     (((-2711008774165021*z^12)/616421759385600 + (2507272928788361*z^13)/
          1393459200 - (41098830671225401*z^14)/201600 + 
         (363497445625204404*z^15)/35 - (9471929621272453748736*z^16)/35 + 
         3547496873976003412623360*z^17 - 18658689220242052261494128640*z^18)*
        Cf[z]^6 + ((-405324831443*z^6)/6635520 + (2672087063953*z^7)/480 - 
         164330146884096*z^8 + 1580707460747722752*z^9)*Cf[z]^4*tS0[z] - 
       (98670825*Cf[z]^2*tS0[z]^2)/64)*tS1[z]^6 + 
     (((-26591287343*z^8)/25165824 + (12298295118533*z^9)/92160 - 
         (243826265302557*z^10)/40 + 120234813245178624*z^11 - 
         869871112169664282624*z^12)*Cf[z]^5 + 
       ((-243893511*z^2)/1024 + 6751428489*z^3)*Cf[z]^3*tS0[z])*tS1[z]^7 + 
     ((-10699111097*z^4)/1179648 + (66938653953*z^5)/128 - 7384269460176*z^6)*
      Cf[z]^4*tS1[z]^8 - (3258841*Cf[z]^3*tS1[z]^9)/512 + 
     S2[z]^16*(((36311045*z^4)/65536 + (540635595*z^5)/64 - 226605600*z^6)*
        Cf[z]^12 + (9928675*Cf[z]^11*tS1[z])/6144) + 
     S2[z]^15*(((999165295*z^6)/2654208 + (8511042985*z^7)/768 + 
         30699764910*z^8 - 142443642009600*z^9)*Cf[z]^12 - 
       (99325*Cf[z]^10*tS0[z])/96 + ((28874515*z^2)/9216 + (114505575*z^3)/4)*
        Cf[z]^11*tS1[z]) + S2[z]^14*
      (((10009393015*z^8)/56623104 + (104827176001*z^9)/12288 + 
         68866892460*z^10 - 206196387022080*z^11 - 469660716493701120*z^12)*
        Cf[z]^12 + ((-497695*z^2)/256 - 15535350*z^3)*Cf[z]^10*tS0[z] + 
       ((91318835*z^4)/32768 + (8153533675*z^5)/128 + 140615430840*z^6)*
        Cf[z]^11*tS1[z] + (72834265*Cf[z]^10*tS1[z]^2)/18432) + 
     S2[z]^13*(((124766364007*z^10)/2038431744 + (326367601127*z^11)/73728 + 
         (2219040778107*z^12)/32 + 17364145242528*z^13 - 
         1738992780753076224*z^14 + 2294795014317130383360*z^15)*Cf[z]^12 + 
       ((-175577435*z^4)/110592 - 38619705*z^5 + 4973633280*z^6)*Cf[z]^10*
        tS0[z] + (((1807879711*z^6)/1179648 + (95623707379*z^7)/1536 + 
           455963173596*z^8 - 377425354291200*z^9)*Cf[z]^11 - 
         (627335*Cf[z]^9*tS0[z])/128)*tS1[z] + 
       ((1319654075*z^2)/221184 + (321429385*z^3)/4)*Cf[z]^10*tS1[z]^2) + 
     S2[z]^12*(((4765331910449*z^12)/293534171136 + (35372579886041*z^13)/
          21233664 + (16448898425519*z^14)/384 + 205814668779144*z^15 - 
         1494511569887256576*z^16 - 2166751452623221555200*z^17 + 
         16649755685736522354524160*z^18)*Cf[z]^12 + 
       ((-2080629007*z^6)/2654208 - (586454407*z^7)/16 - 201296825280*z^8 + 
         1257280772014080*z^9)*Cf[z]^10*tS0[z] + (2072375*Cf[z]^8*tS0[z]^2)/
        288 + (((298199988307*z^8)/509607936 + (2725210820405*z^9)/73728 + 
           (4247335392855*z^10)/8 + 997498900227456*z^11 - 
           6960478046675927040*z^12)*Cf[z]^11 + 
         ((-140875135*z^2)/27648 - 138585405*z^3)*Cf[z]^9*tS0[z])*tS1[z] + 
       ((15278609875*z^4)/3538944 + (7978173759*z^5)/64 + 684357602760*z^6)*
        Cf[z]^10*tS1[z]^2 + (584245385*Cf[z]^9*tS1[z]^3)/165888) + 
     S2[z]^11*(((1984192205575*z^14)/587068342272 + (281659246797307*z^15)/
          594542592 + (790184307274475*z^16)/43008 + (1958486491000773*z^17)/
          10 - (1738264439935420416*z^18)/7 - 6315852158436916592640*z^19 + 
         21140182644129408019857408*z^20 + 5426068017150950183157104640*z^21)*
        Cf[z]^12 + ((-479322451*z^8)/1769472 - (5026166729*z^9)/256 - 
         301422502884*z^10 + 924982479286272*z^11 + 6202043737225297920*z^12)*
        Cf[z]^10*tS0[z] + ((16148485*z^2)/1728 + 124583100*z^3)*Cf[z]^8*
        tS0[z]^2 + (((167397982225*z^10)/1019215872 + (1114780270517*z^11)/
            73728 + (2823129458063*z^12)/8 + 2128048084106496*z^13 - 
           5398987625122627584*z^14 - 27920129090989515079680*z^15)*
          Cf[z]^11 + ((-788194565*z^4)/331776 - (3905071477*z^5)/24 - 
           1448970307200*z^6)*Cf[z]^9*tS0[z])*tS1[z] + 
       (((41476201027*z^6)/21233664 + (72431894213*z^7)/768 + 
           1058839973874*z^8 + 3592707138201600*z^9)*Cf[z]^10 + 
         (727525*Cf[z]^8*tS0[z])/1728)*tS1[z]^2 + 
       ((1514844365*z^2)/331776 + (734238265*z^3)/12)*Cf[z]^9*tS1[z]^3) + 
     S2[z]^10*(((73689075075241*z^16)/131503308668928 + 
         (14914167289036291*z^17)/142690222080 + (497919198913657*z^18)/
          86016 + (59604593954912973*z^19)/560 + (12616832948662790784*z^20)/
          35 - (114650072270861939048448*z^21)/35 - 
         (55476309155113683080183808*z^22)/7 + 114719014753565549233119952896*
          z^23 - 275525425027437996708845196410880*z^24)*Cf[z]^12 + 
       ((-205330457*z^10)/2985984 - (1006475183899*z^11)/138240 - 
         (938003275653*z^12)/5 - 791994495508992*z^13 + 14989232378405191680*
          z^14 - 23550396963021253509120*z^15)*Cf[z]^10*tS0[z] + 
       ((786387115*z^4)/165888 + (1351742075*z^5)/6 + 82428318720*z^6)*
        Cf[z]^8*tS0[z]^2 + (((24086346067667*z^12)/684913065984 + 
           (6676819460304457*z^13)/1486356480 + (8589149268633467*z^14)/
            53760 + (59701075282997712*z^15)/35 + (24376173154238988288*z^16)/
            7 - 57807206211626339401728*z^17 + 46767650077709429762949120*
            z^18)*Cf[z]^11 + ((-6642908185*z^6)/7962624 - (40808732117*z^7)/
            576 - 2358447240864*z^8 - 2855577552076800*z^9)*Cf[z]^9*tS0[z] + 
         (15968035*Cf[z]^7*tS0[z]^2)/1728)*tS1[z] + 
       (((3701882919845*z^8)/6115295232 + (2530064925989*z^9)/55296 + 
           (3162117282937*z^10)/4 + 6004577980546560*z^11 + 
           8866894503438581760*z^12)*Cf[z]^10 + 
         ((14612705*z^2)/13824 - (23176000*z^3)/3)*Cf[z]^8*tS0[z])*tS1[z]^2 + 
       ((42154211255*z^4)/15925248 + (52411927259*z^5)/576 + 
         289873357920*z^6)*Cf[z]^9*tS1[z]^3 + (165997645*Cf[z]^8*tS1[z]^4)/
        165888) + S2[z]^9*(((1765221581497931*z^18)/23670595560407040 + 
         (10367438720188651*z^19)/570760888320 + (514928434794098993*z^20)/
          371589120 + (2644266332238726113*z^21)/67200 + 
         (12139361509721986584*z^22)/35 - (59724494335113307471872*z^23)/
          175 - (70409933807317607793033216*z^24)/7 + 
         (177593868257249912472245108736*z^25)/5 + 
         (706825680759959225439298944761856*z^26)/7 - 
         (4756583049358847729611788634061537280*z^27)/7)*Cf[z]^12 + 
       ((-1139914020625*z^12)/85614133248 - (91327080437093*z^13)/46448640 - 
         (387930822277549*z^14)/5040 - (29238080450401344*z^15)/35 + 
         (26699273559240671232*z^16)/7 + 55787865749169006182400*z^17 - 
         285644515212793390080983040*z^18)*Cf[z]^10*tS0[z] + 
       ((9483122677*z^6)/5971968 + (53698551545*z^7)/432 + 
         1815010001280*z^8 - 11558672586178560*z^9)*Cf[z]^8*tS0[z]^2 - 
       (21996025*Cf[z]^6*tS0[z]^3)/432 + 
       (((720105103063057*z^14)/123284351877120 + (3598927617216719*z^15)/
            3567255552 + (2369622172270393*z^16)/46080 + 
           (12679406754519381*z^17)/14 + (154350457442969020416*z^18)/35 - 
           (254721302019789141049344*z^19)/35 - 254394535853602575394799616*
            z^20 + 940551705764193572685474693120*z^21)*Cf[z]^11 + 
         ((-22732757659*z^8)/127401984 - (356134893847*z^9)/13824 - 
           966913226760*z^10 - 18882945409222656*z^11 + 76434546032356884480*
            z^12)*Cf[z]^9*tS0[z] + ((-33343565*z^2)/2304 + 
           (2302987900*z^3)/3)*Cf[z]^7*tS0[z]^2)*tS1[z] + 
       (((10261515539185*z^10)/73383542784 + (48782997201047*z^11)/3317760 + 
           (207648620127293*z^12)/480 + (16190525718402624*z^13)/5 + 
           37826645657384779776*z^14 - 100267527427143751434240*z^15)*
          Cf[z]^10 + ((-144192595*z^4)/62208 + 170212192*z^5 - 
           2426714810880*z^6)*Cf[z]^8*tS0[z])*tS1[z]^2 + 
       (((485711807191*z^6)/573308928 + (1346821224469*z^7)/20736 + 
           398827298448*z^8 + 1504652529991680*z^9)*Cf[z]^9 - 
         (38627495*Cf[z]^7*tS0[z])/10368)*tS1[z]^3 + 
       ((46188295*z^2)/663552 + (366334625*z^3)/9)*Cf[z]^8*tS1[z]^4) + 
     S2[z]^8*(((2275096775215507*z^20)/284047146724884480 + 
         (41084212220949659*z^21)/16437913583616 + (1913297830707130687*z^22)/
          7431782400 + (2834315050326482839*z^23)/268800 + 
         (4200904283010973713*z^24)/25 + (98392648034380545709056*z^25)/175 - 
         (82193079169974750872076288*z^26)/35 - 
         (950508893644733163247880896512*z^27)/35 + 
         (10737140461745706905157242776977408*z^28)/35 - 
         (10201218511521134192612401088770867200*z^29)/7 + 
         3072398418758771019027371880475609006080*z^30)*Cf[z]^12 + 
       ((-63564481006699*z^14)/30821087969280 - (435117566165591*z^15)/
          1114767360 - (313885729576333*z^16)/13440 - 
         (13440870286311336*z^17)/35 - (67440157650754412544*z^18)/35 + 
         (1657573426851443808141312*z^19)/35 - 142182363576944554892328960*
          z^20 - 208033907686848236298877009920*z^21)*Cf[z]^10*tS0[z] + 
       ((9952442725*z^8)/23887872 + (67669336445*z^9)/1728 + 
         1382043715952*z^10 - 231487822577664*z^11 - 72757721754689863680*
          z^12)*Cf[z]^8*tS0[z]^2 + ((-13786975*z^2)/384 - 1016027400*z^3)*
        Cf[z]^6*tS0[z]^3 + (((8958326160004043*z^16)/11835297780203520 + 
           (49868902022079253*z^17)/285380444160 + (271046415693259577*z^18)/
            22118400 + (371295870248980869*z^19)/1120 + 
           (511077015132258347712*z^20)/175 + (39010182159253147582464*z^21)/
            5 - (4308131911360265585109762048*z^22)/35 - 
           (219786060645014298531477848064*z^23)/7 + 
           (14079333955268116228658750061281280*z^24)/7)*Cf[z]^11 + 
         ((-207110526841*z^10)/9172942848 - (75452007547*z^11)/11520 - 
           (3714310982143*z^12)/12 - (45679869841860864*z^13)/5 - 
           55283524419116335104*z^14 + 644302900324266871357440*z^15)*Cf[z]^9*
          tS0[z] + ((-854806045*z^4)/110592 - (321310611*z^5)/4 + 
           15030680924160*z^6)*Cf[z]^7*tS0[z]^2)*tS1[z] + 
       (((2983096862485919*z^12)/123284351877120 + (2617619893337231*z^13)/
            743178240 + (23684065183651069*z^14)/161280 + 
           (74631467683697508*z^15)/35 + (360937101367133558784*z^16)/35 + 
           189660433856847037857792*z^17 - 1191605264659828003370434560*z^18)*
          Cf[z]^10 + ((-2468624855*z^6)/3981312 - (7344695639*z^7)/288 + 
           3622999893120*z^8 - 60285322871930880*z^9)*Cf[z]^8*tS0[z] - 
         (13166785*Cf[z]^6*tS0[z]^2)/192)*tS1[z]^2 + 
       (((52176373613*z^8)/226492416 + (2028326392627*z^9)/110592 + 
           (7084517552943*z^10)/10 - 5956449016764672*z^11 + 
           58980812334411939840*z^12)*Cf[z]^9 + 
         ((-14412025*z^2)/1024 + 222365495*z^3)*Cf[z]^7*tS0[z])*tS1[z]^3 + 
       ((-1343628755*z^4)/3538944 + (3570235615*z^5)/128 + 380336896800*z^6)*
        Cf[z]^8*tS1[z]^4 - (9360035*Cf[z]^7*tS1[z]^5)/6144) + 
     S2[z]^7*(((391252783569497*z^22)/568094293449768960 + 
         (150279477591100427*z^23)/547930452787200 + 
         (4416007379385287507*z^24)/118908518400 + 
         (27651098850632778733*z^25)/12902400 + (2609800848855024501*z^26)/
          50 + (16679422403259174160128*z^27)/35 - 
         (16678450338454886298550272*z^28)/175 - 
         (263562643328419901712698966016*z^29)/175 - 
         (2408908133743904499092148801503232*z^30)/35 + 
         (4123303557310678298578741405906108416*z^31)/5 - 
         (30430555324455651468551872359156777222144*z^32)/7 + 
         9780625055158110946365775693682915483320320*z^33)*Cf[z]^12 + 
       ((-2497148350069*z^16)/10567230160896 - (95029995076811*z^17)/
          1486356480 - (181211100775999*z^18)/38400 - 
         (26631291393254143*z^19)/175 - (111756511039720928256*z^20)/175 - 
         (225506556726448723329024*z^21)/35 + (9084714608547603363315843072*
           z^22)/35 - (14440003191242495083987737772032*z^23)/7 + 
         (42179091967522697240174798548500480*z^24)/7)*Cf[z]^10*tS0[z] + 
       ((2829832285*z^10)/47775744 + (863350020749*z^11)/69120 + 
         (4758458643796*z^12)/15 + 9617407937639424*z^13 - 
         114011722271976062976*z^14 + 246090044966688270581760*z^15)*Cf[z]^8*
        tS0[z]^2 + ((-18205295*z^4)/3456 - 1174606410*z^5 - 
         1639204300800*z^6)*Cf[z]^6*tS0[z]^3 + 
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           (1288920858282956503429*z^23)/72576000 + 
           (2185456517737722099412*z^24)/2625 - (4234325510285019924231168*
             z^25)/175 + (2375752827997940826947715072*z^26)/5 - 
           (207108591885740552827436871450624*z^27)/35 + 
           (1505663159867480275891643386800635904*z^28)/35 - 
           137506119525058149678254427068379955200*z^29)*Cf[z]^9 + 
         ((-510848744832967*z^14)/15410543984640 + (23113762332099071*z^15)/
            3344302080 - (356905755813761081*z^16)/604800 + 
           (705028969860419312*z^17)/25 - (5864472395108813242368*z^18)/7 + 
           (529082096783554913778008064*z^19)/35 - 
           149378001552483606756694425600*z^20 + 
           625758628842909083443158337978368*z^21)*Cf[z]^7*tS0[z] + 
         ((43592331683*z^8)/4423680 - (104313381763*z^9)/80 + 
           (227869552256472*z^10)/5 - 294789380546838528*z^11 - 
           3244581069605528666112*z^12)*Cf[z]^5*tS0[z]^2 + 
         ((268630551*z^2)/64 - 143303915664*z^3)*Cf[z]^3*tS0[z]^3)*tS1[z]^3 + 
       (((-44402336621893927*z^16)/118352977802035200 + 
           (209782895141873293*z^17)/2140353331200 - 
           (974277472770254381*z^18)/92897280 + (2675643606175292699*z^19)/
            4200 - (4354479221854007087712*z^20)/175 + 
           (22332399021760066747564032*z^21)/35 - 
           (50682725407289324092608479232*z^22)/5 + 
           90058797673753637709928319680512*z^23 - 
           345913932339867130974825166449672192*z^24)*Cf[z]^8 + 
         ((-80374556087*z^10)/159252480 + (3119448440461*z^11)/46080 - 
           (22265591771271*z^12)/5 + (912536351531486208*z^13)/5 - 
           3754652628896921419776*z^14 + 28144075562766584619466752*z^15)*
          Cf[z]^6*tS0[z] + ((4296667859*z^4)/6144 - 44740726920*z^5 + 
           634331568121344*z^6)*Cf[z]^4*tS0[z]^2)*tS1[z]^4 + 
       (((-716594525838437*z^12)/25684239974400 + (11976205760233957*z^13)/
            2477260800 - (32249405920734243*z^14)/89600 + 
           (540945416784036042*z^15)/35 - (2736457405182939727872*z^16)/7 + 
           5227804441114986267279360*z^17 - 28064964286505316762431520768*
            z^18)*Cf[z]^7 + ((187340328079*z^6)/4423680 - (1260537098009*z^7)/
            320 + 108796234184352*z^8 - 902695264941883392*z^9)*Cf[z]^5*
          tS0[z] + (52448751*Cf[z]^3*tS0[z]^2)/64)*tS1[z]^5 + 
       (((2565872772661*z^8)/3397386240 - (8534085803479*z^9)/92160 + 
           (148666178624367*z^10)/40 - 56787517555322112*z^11 + 
           266254680737887027200*z^12)*Cf[z]^6 + 
         ((95328501*z^2)/512 - 5908108824*z^3)*Cf[z]^4*tS0[z])*tS1[z]^6 + 
       ((1793190299*z^4)/196608 - (2224205721*z^5)/4 + 7703998634736*z^6)*
        Cf[z]^5*tS1[z]^7 + (12971527*Cf[z]^4*tS1[z]^8)/2048) + 
     S2[z]*(754355129/366917713920 + 
       ((-928856361574507363*z^34)/557297818651256527811248128000 + 
         (7638625351738932171191*z^35)/3144475539264902283657216000 + 
         (1937591442113253639319*z^36)/2527388389969861017600 + 
         (3437817376406243258184997*z^37)/12340763622899712000 + 
         (6091698545429978443037393*z^38)/148784283648000 + 
         (2261121021564371423408101*z^39)/672672000 + 
         (23345690690840106200392959*z^40)/175175 + 
         (339959494627502102038786010112*z^41)/125125 + 
         (22530556756230837713730237568647168*z^42)/875875 + 
         (102140526206278845622568908525009895424*z^43)/875875 + 
         (141407660213863200525554398041175429742592*z^44)/875875 + 
         (16644921223031269724019345650588198595723264*z^45)/175175 + 
         (95255669791026181199624311884734461795104718848*z^46)/175175 - 
         (463070847449901286347423515766377701714021878595584*z^47)/175175 - 
         (4272257002044131207649488509221460535745460568064*z^48)/35)*
        Cf[z]^12 + (-2565/4096 + ((-1540719936091547173*z^28)/
            272118075513308851470336000 - (191739616827711397*z^29)/
            121509057210089472000 - (489513729476756031737*z^30)/
            355983566045184000 - (494924606781676282229*z^31)/3218890752000 - 
           (373213025335941441967*z^32)/25872000 - 
           (29760802722305243956536*z^33)/67375 - 
           (118421701221227801030664192*z^34)/13475 - 
           (225897012650817319975149109248*z^35)/6125 - 
           (21053909867954740634955708138258432*z^36)/67375 + 
           (19368002412095716101674391073355464704*z^37)/13475 - 
           (85170517407325958910882215241887256674304*z^38)/13475 + 
           (59408721264351171082882371256351759269888*z^39)/5 + 
           266282204408360601041760349174670076936192*z^40)*Cf[z]^10)*
        tS0[z] + ((50420662243430957*z^22)/191731824039297024000 - 
         (775391409961818659*z^23)/13869489586176000 + 
         (927281028456462859*z^24)/125411328000 - (119111752177868383*z^25)/
          432000 + (40258094219165685808*z^26)/2625 - 
         (219251654657682851708928*z^27)/875 + (726658869435138016089735168*
           z^28)/175 - (1125531796168916714621818109952*z^29)/35 + 
         (4024288969088929426834741587345408*z^30)/35 - 
         (617331542893661515269760598931406848*z^31)/35)*Cf[z]^8*tS0[z]^2 + 
       ((-278210325142367*z^16)/184926527815680 + (4222481468455849*z^17)/
          16721510400 - (931143155047157*z^18)/48384 + 
         (17178201241843328*z^19)/25 - (2642830397700139708416*z^20)/175 + 
         (1171196770100431451848704*z^21)/7 - (5505931846877102390252666880*
           z^22)/7 + 4095103151399294559615713280*z^23)*Cf[z]^6*tS0[z]^3 + 
       ((215788694075*z^10)/63700992 - (109432122343*z^11)/288 + 
         16714125329856*z^12 - 312392426387816448*z^13 + 
         2238115012489720627200*z^14)*Cf[z]^4*tS0[z]^4 + 
       ((-22074675*z^4)/8 + 154186260480*z^5 - 2318608931880960*z^6)*Cf[z]^2*
        tS0[z]^5 + (((-4181186736631053803*z^30)/
            8707778416425883247050752000 + (2460357358283013767573*z^31)/
            5459158922334899798016000 + (11084513294415737246029*z^32)/
            177706996169755852800 + (56193832137709886056363*z^33)/
            1648072065024000 + (69873095996164638308161*z^34)/20756736000 + 
           (2984031731049405893115943*z^35)/14014000 + 
           (176524703108481029552330112*z^36)/35035 + 
           (12289224593199749171423689506816*z^37)/175175 + 
           (19471968381260616160794801881481216*z^38)/79625 + 
           (187704762442044519228457817459820331008*z^39)/125125 - 
           (960573460735387837266969754547595019026432*z^40)/175175 + 
           (3535986637176919786400166875175905079494443008*z^41)/175175 - 
           (960556988293165274599917521036780006585401344*z^42)/35 - 
           300138161725813426169367920603305516336152576*z^43)*Cf[z]^11 + 
         ((11479498008935199629*z^24)/257687571508815200256000 - 
           (21229222392258196843*z^25)/1864059400382054400 + 
           (125273765947897521173*z^26)/84276412416000 - 
           (98875534792422582647*z^27)/1016064000 + 
           (271756188704946444409*z^28)/73500 - (114054762115710478346496*
             z^29)/875 + (12240761676969999759038742528*z^30)/6125 - 
           (6645104107501006765861116051456*z^31)/245 + 
           (45505994163330856532820254194139136*z^32)/245 - 
           (4156024837452294578209432920127438848*z^33)/7 + 
           (2777610502922587687449230401483692834816*z^34)/35)*Cf[z]^9*
          tS0[z] + ((-716796780777992647*z^18)/1997206500409344000 + 
           (1718807010371978851*z^19)/24078974976000 - 
           (5650296313414226083*z^20)/870912000 + (28853752115586881989*z^21)/
            94500 - (302249272330964521728*z^22)/35 + 
           (5208748336871166287020032*z^23)/35 - 
           (48616937027093186917190074368*z^24)/35 + 
           (28092382852166756446544804708352*z^25)/5 - 
           28819422125666565411554665168896*z^26)*Cf[z]^7*tS0[z]^2 + 
         ((843785987305571*z^12)/802632499200 - (4315854547759261*z^13)/
            29030400 + (4598037688379557*z^14)/525 - 
           (8789400232257871872*z^15)/35 + (125037556851650043838464*z^16)/
            35 - 20447311733432514678620160*z^17)*Cf[z]^5*tS0[z]^3 + 
         ((-6672246017*z^6)/6144 + (362318695173*z^7)/4 - 2653476225419520*
            z^8 + 25772158824826798080*z^9)*Cf[z]^3*tS0[z]^4 + 
         62141040*Cf[z]*tS0[z]^5)*tS1[z] + 
       (((1020713044525220028953*z^26)/544236151026617702940672000 - 
           (38065222903983910391*z^27)/74562376015282176000 + 
           (62301220061033325446947*z^28)/711967132090368000 - 
           (9670238431142903913967*z^29)/2145927168000 + 
           (184601692159741778466793*z^30)/465696000 - 
           (13308465961124564646936*z^31)/1925 + 
           (19930800570674556632190160896*z^32)/67375 - 
           (47458412416484444595887070511104*z^33)/13475 + 
           (576018507196350200361038048095371264*z^34)/13475 - 
           (3515897984379156001730944709002971316224*z^35)/13475 + 
           (26362121539187876721013764129147970387968*z^36)/35 - 
           (3121917631069261201113707504469387755126784*z^37)/35)*Cf[z]^10 + 
         ((-31780524192465173*z^20)/1141260857376768000 + 
           (11158119097917781061*z^21)/1733686198272000 - 
           (4770628554508708979*z^22)/6967296000 + 
           (10027531797232462283*z^23)/252000 - (3731119534186139485216*z^24)/
            2625 + (5693536743022055964377088*z^25)/175 - 
           (2325035473103471797887565824*z^26)/5 + 
           (131194130263250464762038199517184*z^27)/35 - 
           (465517316517576752827453683032653824*z^28)/35 + 
           67389779344560684489139661391790080*z^29)*Cf[z]^8*tS0[z] + 
         ((84745974958139*z^14)/713451110400 - (569127328376471*z^15)/
            27869184 + (5454752832113101*z^16)/3600 - 
           (10350053882016091584*z^17)/175 + 1275678036121228443648*z^18 - 
           (512408712021627875943776256*z^19)/35 + 
           69875495673122845426213453824*z^20)*Cf[z]^6*tS0[z]^2 + 
         ((-45129670787*z^8)/276480 + (877989049873*z^9)/48 - 
           (4019650160799168*z^10)/5 + 15798011178817290240*z^11 - 
           114462944698875103936512*z^12)*Cf[z]^4*tS0[z]^3 + 
         ((1137891105*z^2)/64 - 399636011520*z^3)*Cf[z]^2*tS0[z]^4)*
        tS1[z]^2 + (((-12761097154964337173*z^22)/18406255107772514304000 + 
           (123553378156918113589*z^23)/665735500136448000 - 
           (29883736822469050607*z^24)/1337720832000 + 
           (695782904455391415793*z^25)/435456000 - 
           (212964604083689526601*z^26)/3150 + (1742695483132152532606464*
             z^27)/875 - (6625722737352812633827835904*z^28)/175 + 
           (81413776397643336835623957823488*z^29)/175 - 
           (16505755896711804417443801591709696*z^30)/5 + 
           (365383511093669633689891876266716430336*z^31)/35 - 
           52376974448985653780005896471013490688*z^32)*Cf[z]^9 + 
         ((3605959022090789*z^16)/634033809653760 - (466660046150141653*z^17)/
            401316249600 + (609351069632234833*z^18)/5806080 - 
           (392567898469527334*z^19)/75 + (26893938092261423030784*z^20)/
            175 - (93629344017234759389282304*z^21)/35 + 
           25783349480274287379766837248*z^22 - 
           105868200968485876829966246608896*z^23)*Cf[z]^7*tS0[z] + 
         ((-40047278999*z^10)/3538944 + (3104374994281*z^11)/1920 - 
           (481438911373092*z^12)/5 + 2905568937977389056*z^13 - 
           43350526365654570762240*z^14 + 253903700063942055347355648*z^15)*
          Cf[z]^5*tS0[z]^2 + ((686948541*z^4)/512 - 44564407956*z^5 + 
           138569050073088*z^6)*Cf[z]^3*tS0[z]^3)*tS1[z]^3 + 
       (((18135921654752790467*z^18)/191731824039297024000 - 
           (13142148337105114469*z^19)/577895399424000 + 
           (102530235897226208149*z^20)/41803776000 - 
           (1368752629198945061549*z^21)/9072000 + 
           (997939396988277108936*z^22)/175 - (3383661488428131841032192*
             z^23)/25 + (69562375928842123332909268992*z^24)/35 - 
           (82901547645092295640877893681152*z^25)/5 + 
           60006434283517753421734376128905216*z^26)*Cf[z]^8 + 
         ((-2173530338527151*z^12)/6421059993600 + (14035810121574601*z^13)/
            232243200 - (19623651045592687*z^14)/4200 + 
           (1374329761116973632*z^15)/7 - (32203596332212224196608*z^16)/7 + 
           56290597510829146776797184*z^17 - 281288487659646279662539112448*
            z^18)*Cf[z]^6*tS0[z] + ((-42837292243*z^6)/1105920 + 
           (546330773663*z^7)/80 - 314486377206912*z^8 + 4070220944801071104*
            z^9)*Cf[z]^4*tS0[z]^2 + (129999375*Cf[z]^2*tS0[z]^3)/16)*
        tS1[z]^4 + (((-437488820009779*z^14)/154105439846400 + 
           (19622882137449811*z^15)/29727129600 - (13627996687775207*z^16)/
            201600 + (684382591245848193*z^17)/175 - 
           (4668873375891539552256*z^18)/35 + (92322836698196844410830848*
             z^19)/35 - 28028857019559968811553652736*z^20 + 
           124506528043175074954800965615616*z^21)*Cf[z]^7 + 
         ((-563283009863*z^8)/70778880 + (1667801952709*z^9)/1536 - 
           56484930095910*z^10 + 1265401405965920256*z^11 - 
           10172340848100548542464*z^12)*Cf[z]^5*tS0[z] + 
         ((357815961*z^2)/256 - 29266294356*z^3)*Cf[z]^3*tS0[z]^2)*tS1[z]^5 + 
       (((-27471801943609*z^10)/122305904640 + (19791912586427*z^11)/552960 - 
           (46885151396441*z^12)/20 + 76076091418822272*z^13 - 
           1201451641776847945728*z^14 + 7362904960198282957553664*z^15)*
          Cf[z]^6 + ((138955835*z^4)/2304 - 1848213468*z^5 + 
           3839934657024*z^6)*Cf[z]^4*tS0[z])*tS1[z]^6 + 
       (((1670578565*z^6)/21233664 + (20329786403*z^7)/384 - 
           3282202690200*z^8 + 46473156617048064*z^9)*Cf[z]^5 + 
         (17412399*Cf[z]^3*tS0[z])/128)*tS1[z]^7 + 
       ((62987169*z^2)/8192 - (1163870163*z^3)/8)*Cf[z]^4*tS1[z]^8)
 
Ff[8] = 109872458587614280387807349/957714072160909738017518662975488000 + 
     (12638947535721641435908991*z)/62351176572975894402182204620800 + 
     (693337762949064085987*z^2)/5527398408864086045491200 + 
     (8676117949*z^3)/225485783040 + 
     ((-188189010957695263649685151*z^42)/
        29420976296783147151898173326606991360000 + 
       (8785228587809573992675024577*z^43)/
        3192380240536365793391728876584960000 - 
       (936509334485536367343784303*z^44)/4123755064350257566281891840000 + 
       (1682352572280295160280883621*z^45)/9667260591634718392320000 + 
       (5809285415540674901120275113919*z^46)/151050946744292474880000 + 
       (15175735347830408255455084032227*z^47)/1821119631851520000 + 
       (53653566590379483161475558347*z^48)/63334656000 + 
       (14748832268288895475130064122563*z^49)/297797500 + 
       (23119480548339869483914222402983072*z^50)/14889875 + 
       (289996574453734899250699906245041553408*z^51)/10635625 + 
       (2702557350743013004426134015469153501052928*z^52)/10635625 + 
       (94652036536412262115059411219953897726155948032*z^53)/74449375 + 
       (212638994700443069948191225975397866182787467313152*z^54)/74449375 + 
       (257235063774925783773256231241729407216304027747745792*z^55)/
        74449375)*Cf[z]^14 + ((4476026425*z^2)/786432 + (4780948275*z^3)/256)*
      Cf[z]^14*S2[z]^20 + (1282031525*Cf[z]^14*S2[z]^21)/688128 + 
     (-38434693045365654401977/714490182272451043569696768000 - 
       (4438589975838470284271*z)/22109593635456344181964800 - 
       (598965854026084847*z^2)/41009306808405196800 - (351557*z^3)/65536 + 
       ((9485864912515965835267*z^36)/5748583866512063253406474567680000 - 
         (2593441339333182812832143*z^37)/1698016791203047233174896640000 - 
         (69667576188835180499771*z^38)/239281316401042685952000 - 
         (71761989817553166302501011*z^39)/605819305124167680000 - 
         (8480488284723400969031882761*z^40)/482061079019520000 - 
         (3686939398609515455326491773*z^41)/2179457280000 - 
         (3299806402661590807343469796*z^42)/39414375 - 
         (10055126311397030081772659645184*z^43)/4379375 - 
         (2532646575244545696517276026077184*z^44)/79625 - 
         (90258639346998160924456281880305598464*z^45)/398125 - 
         (272171089193795489581678304209643784634368*z^46)/398125 - 
         (877793470857783096806612782444780331263328256*z^47)/875875 + 
         (5134327552084328798448717194758249107236585472*z^48)/875875 + 
         (5308273008340446924406412769079543952572416*z^49)/35)*Cf[z]^12)*
      tS0[z] + (50259043354324088724239/795945370876428390550732800 + 
       (1624407746900369496017*z)/9596177793166816051200 + 
       (978186195773*z^2)/214035333120 + 
       ((37101069335443890390923*z^30)/10188100747218283399049379840000 + 
         (1326891450816783809393273*z^31)/368493227257605736366080000 + 
         (133255323482869521050599*z^32)/181745791537250304000 + 
         (3404898722127571351168523*z^33)/25824700661760000 + 
         (32031933153507530007059569*z^34)/2905943040000 + 
         (478997594397644424545814323*z^35)/945945000 + 
         (48401294779515297029396873728*z^36)/4379375 + 
         (512204758496921878041092605083648*z^37)/4379375 + 
         (8052745168168484361694236333047808*z^38)/15925 + 
         (5500376439851090559052354135976312832*z^39)/6125 - 
         (20270733903042268526781392544130400256*z^40)/1225 - 
         220460185195141674707560460237930496*z^41)*Cf[z]^10)*tS0[z]^2 + 
     (-8312826797354993/36908376127564677120 - (10831952587675*z)/
        165112971264 - (458655*z^2)/512 + 
       ((-52533056862954979463*z^24)/1138887034793424322560000 - 
         (317765770096803609997*z^25)/72086672124149760000 - 
         (13721021627037881527727*z^26)/13905608048640000 - 
         (2258022768464618691857*z^27)/34292160000 - 
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         42509127230668800*z^12)*Cf[z]^14 + ((-1717818325*z^2)/147456 - 
         (762949125*z^3)/16)*Cf[z]^12*tS0[z] + 
       ((976693420295*z^4)/14155776 + (479248444935*z^5)/512 + 
         197286799500*z^6)*Cf[z]^13*tS1[z] + (1216124425*Cf[z]^12*tS1[z]^2)/
        12288) + S2[z]^16*(((491779823250505*z^10)/260919263232 + 
         (916078818482009*z^11)/9437184 + (901329203123535*z^12)/1024 - 
         2887999244028999*z^13 - 11603574604173219840*z^14 + 
         29836282203238721126400*z^15)*Cf[z]^14 + 
       ((-92960157785*z^4)/7077888 - (23567954525*z^5)/128 + 
         399588711300*z^6)*Cf[z]^12*tS0[z] + 
       (((17333810872225*z^6)/339738624 + (2699126671745*z^7)/2048 + 
           (14107379723595*z^8)/4 - 11645991371865600*z^9)*Cf[z]^13 - 
         (97680175*Cf[z]^11*tS0[z])/2304)*tS1[z] + 
       ((191267891095*z^2)/884736 + (49393751775*z^3)/32)*Cf[z]^12*
        tS1[z]^2) + S2[z]^15*(((1522442153391281*z^12)/2348273369088 + 
         (1369632473784589*z^13)/28311552 + (2467405812895291*z^14)/3072 + 
         (2814122510042247*z^15)/10 - 23643410583769422336*z^16 + 
         38427159084285335961600*z^17 + 64388942811716407032545280*z^18)*
        Cf[z]^14 + ((-94371671815*z^6)/10616832 - (604970204555*z^7)/2304 - 
         131251542750*z^8 + 6814260235008000*z^9)*Cf[z]^12*tS0[z] + 
       (1002644825*Cf[z]^10*tS0[z]^2)/27648 + 
       (((5921297007223*z^8)/226492416 + (81434858364049*z^9)/73728 + 
           (126749266109661*z^10)/16 - 16109342405199360*z^11 - 
           48249418051221258240*z^12)*Cf[z]^13 + 
         ((-45351365*z^2)/576 - (1681507475*z^3)/2)*Cf[z]^11*tS0[z])*tS1[z] + 
       ((2313909088955*z^4)/10616832 + (1995383170245*z^5)/512 + 
         6114112204770*z^6)*Cf[z]^12*tS1[z]^2 + 
       (70798405265*Cf[z]^11*tS1[z]^3)/331776) + 
     S2[z]^14*(((23169626634541313*z^14)/131503308668928 + 
         (21692851961185663*z^15)/1189085184 + (52103686211108347*z^16)/
          107520 + (194509635946058313*z^17)/80 - 
         (122665623668368585344*z^18)/7 - 25479052600624263069696*z^19 + 
         272817854305499605817622528*z^20 - (1963967682546627070859264655360*
           z^21)/7)*Cf[z]^14 + ((-4206415760485*z^8)/1019215872 - 
         (1266813964607*z^9)/6144 - (11110903054191*z^10)/8 + 
         13403804087888640*z^11 + 11746116172431360000*z^12)*Cf[z]^12*
        tS0[z] + ((5176075835*z^2)/73728 + (3928550675*z^3)/8)*Cf[z]^10*
        tS0[z]^2 + (((483700850994457*z^10)/48922361856 + 
           (555104788339483*z^11)/884736 + (1101110292512169*z^12)/128 + 
           4933220481867600*z^13 - 147313719654382411776*z^14 + 
           53069145086535244185600*z^15)*Cf[z]^13 + 
         ((-2404244215*z^4)/36864 - (178401921085*z^5)/96 - 
           4137134703840*z^6)*Cf[z]^11*tS0[z])*tS1[z] + 
       (((34496880372289*z^6)/254803968 + (162228703418461*z^7)/36864 + 
           22783768786017*z^8 - 15488614458236160*z^9)*Cf[z]^12 - 
         (726841415*Cf[z]^10*tS0[z])/6912)*tS1[z]^2 + 
       ((340021919875*z^2)/884736 + (349033947425*z^3)/96)*Cf[z]^11*
        tS1[z]^3) + S2[z]^13*(((485924373684080327*z^16)/12624317632217088 + 
         (437101595047036643*z^17)/81537269760 + (2903685498716562001*z^18)/
          13762560 + (2093100259361908389*z^19)/896 - 
         (20962557655004144358*z^20)/7 - (2255122322961508006944768*z^21)/
          35 + (1368043037047086563614261248*z^22)/7 + 
         379754880735006807976147156992*z^23 - 
         1750655801177013859117041419550720*z^24)*Cf[z]^14 + 
       ((-17257514747251*z^10)/12230590464 - (3925451173883*z^11)/36864 - 
         (26386256362555*z^12)/16 + 5498457076093248*z^13 + 
         89086600637356179456*z^14 - 229851271825398347857920*z^15)*Cf[z]^12*
        tS0[z] + ((305621915515*z^4)/5308416 + (21914091255*z^5)/16 - 
         1837359301680*z^6)*Cf[z]^10*tS0[z]^2 + 
       (((23561356614513335*z^12)/8218956791808 + (12021487606659193*z^13)/
            46448640 + (125531589367748789*z^14)/21504 + 
           (886770613529981577*z^15)/35 - (880353077839721026560*z^16)/7 - 
           340370408385056200458240*z^17 + 1046376136489332436956610560*z^18)*
          Cf[z]^13 + ((-132952219607*z^6)/3981312 - (322523034157*z^7)/192 - 
           16256947926984*z^8 + 34126613560074240*z^9)*Cf[z]^11*tS0[z] + 
         (453999805*Cf[z]^9*tS0[z]^2)/2304)*tS1[z] + 
       (((177868046704327*z^8)/3057647616 + (2659561575489811*z^9)/884736 + 
           (1023932788327049*z^10)/32 + 30435283030606560*z^11 - 
           192840803335384104960*z^12)*Cf[z]^12 + 
         ((-11312007725*z^2)/82944 - (16313173565*z^3)/6)*Cf[z]^10*tS0[z])*
        tS1[z]^2 + ((2268249629045*z^4)/7077888 + (925202101691*z^5)/128 + 
         20683347414060*z^6)*Cf[z]^11*tS1[z]^3 + 
       (100860245365*Cf[z]^10*tS1[z]^4)/442368) + 
     S2[z]^12*(((230171588686644023*z^18)/33664847019245568 + 
         (205706924634153855239*z^19)/164379135836160 + 
         (206511439958477306899*z^20)/2972712960 + 
         (70491035050226213197*z^21)/53760 + (671499926242820266527*z^22)/
          140 - 39751782557333368916736*z^23 - (207978931158452334689255424*
           z^24)/5 + (5993206213808935932588969689088*z^25)/7 - 
         (12330611650298483565188898499854336*z^26)/7 - 
         (9517216638002852614849795521112965120*z^27)/7)*Cf[z]^14 + 
       ((-4556780747461253*z^12)/12328435187712 - (4418387862199015*z^13)/
          111476736 - (56276613644119931*z^14)/53760 - 
         (115916955069693468*z^15)/35 + (641251508123432226816*z^16)/7 + 
         17832586535202421997568*z^17 - 1279865722675062480348119040*z^18)*
        Cf[z]^12*tS0[z] + ((10744678395083*z^6)/382205952 + 
         (18639542867593*z^7)/13824 + 5703320076810*z^8 - 
         60090285741742080*z^9)*Cf[z]^10*tS0[z]^2 - 
       (594205075*Cf[z]^8*tS0[z]^3)/2592 + 
       (((4769400953001187*z^14)/7305739370496 + (35573644236596029*z^15)/
            440401920 + (7111367259738228569*z^16)/2580480 + 
           (7302437385030729279*z^17)/280 - (115394367406590878976*z^18)/7 - 
           552088353647793240539136*z^19 + 267302354907567115412176896*z^20 + 
           4434267379723329176517444894720*z^21)*Cf[z]^13 + 
         ((-1521409894561*z^8)/127401984 - (16791598731721*z^9)/18432 - 
           17706134265476*z^10 - 40086687033110016*z^11 + 
           530462778959887073280*z^12)*Cf[z]^11*tS0[z] + 
         ((395583895*z^2)/2048 + 5875199155*z^3)*Cf[z]^9*tS0[z]^2)*tS1[z] + 
       (((674368737733891*z^10)/36691771392 + (148632902653761689*z^11)/
            106168320 + (8192642704805649*z^12)/320 + 94567131357772248*
            z^13 - 160091104389668093952*z^14 - 956303161180961888010240*
            z^15)*Cf[z]^12 + ((-182334587185*z^4)/1990656 - 
           (78891070175*z^5)/24 - 34569487608960*z^6)*Cf[z]^10*tS0[z])*
        tS1[z]^2 + (((753407593620641*z^6)/4586471424 + 
           (1091679826776643*z^7)/165888 + 48253372848926*z^8 + 
           45249083032596480*z^9)*Cf[z]^11 - (11219650435*Cf[z]^9*tS0[z])/
          124416)*tS1[z]^3 + ((10458861288095*z^2)/31850496 + 
         (1566593859655*z^3)/384)*Cf[z]^10*tS1[z]^4) + 
     S2[z]^11*(((3615547413342039097*z^20)/3635803478078521344 + 
         (154479264358237456903*z^21)/657516543344640 + 
         (23504152998090258751*z^22)/1321205760 + 
         (315020038500848741981*z^23)/614400 + (13455431796358243763541*z^24)/
          2800 - (671330344615763002681536*z^25)/175 - 
         (2659172675421874656253575168*z^26)/25 + 
         (9283082596190460685133864239104*z^27)/35 + 
         (12643125684924316209752457282060288*z^28)/7 - 
         (86536218906190578474435733049453838336*z^29)/7 + 
         (163366999889780736486460092314904271257600*z^30)/7)*Cf[z]^14 + 
       ((-209055243416351*z^14)/2739652263936 - (98997051760908479*z^15)/
          8918138880 - (13816993106800019*z^16)/30720 - 
         (313176272482358013*z^17)/70 + (137066650242690226176*z^18)/5 + 
         (2805342014357315735519232*z^19)/7 - 2358287255776488615315505152*
          z^20 + 1798902825175052995341267763200*z^21)*Cf[z]^12*tS0[z] + 
       ((29550184244419*z^8)/3057647616 + (19736934493175*z^9)/27648 + 
         (22202720247637*z^10)/2 - 63931903458435072*z^11 - 
         203421159175221411840*z^12)*Cf[z]^10*tS0[z]^2 + 
       ((-538780045*z^2)/1728 - (10812997400*z^3)/3)*Cf[z]^8*tS0[z]^3 + 
       (((267229571167443049*z^16)/2254342434324480 + 
           (3352037153457670543*z^17)/171228266496 + 
           (8467761668906794679*z^18)/8847360 + (3495087379414566315*z^19)/
            224 + (1782081080386006770648*z^20)/35 - 
           (10562784447841440865910784*z^21)/35 - 
           (9242136706331741333074477056*z^22)/7 + 
           (49544732647496144264491538841600*z^23)/7 - 
           (6564996249342666508792262169722880*z^24)/7)*Cf[z]^13 + 
         ((-7135473617411*z^10)/2293235712 - (1151841351246547*z^11)/
            3317760 - (411258386614723*z^12)/40 - 97800117288804864*z^13 + 
           478064401433115623424*z^14 + 1954349533436610305064960*z^15)*
          Cf[z]^11*tS0[z] + ((99418752815*z^4)/1327104 + (337009037269*z^5)/
            48 + 59594769803520*z^6)*Cf[z]^9*tS0[z]^2)*tS1[z] + 
       (((60652073809137191*z^12)/13698261319680 + (8442746070106575289*z^13)/
            17836277760 + (8712241614585516223*z^14)/645120 + 
           (731189525520287403*z^15)/7 + (471222483750034827264*z^16)/7 - 
           1039251652856316528427008*z^17 - 3601852339996867144313733120*
            z^18)*Cf[z]^12 + ((-161041715245*z^6)/3981312 - 
           (534593771041*z^7)/256 - 40010975488662*z^8 - 268601996230502400*
            z^9)*Cf[z]^10*tS0[z] - (941231945*Cf[z]^8*tS0[z]^2)/27648)*
        tS1[z]^2 + (((2130819008710787*z^8)/36691771392 + 
           (1203883391332097*z^9)/331776 + (407250388968195*z^10)/8 + 
           128245756260448512*z^11 + 164290853359369912320*z^12)*Cf[z]^11 + 
         ((-11029210165*z^2)/82944 - (10352807390*z^3)/9)*Cf[z]^9*tS0[z])*
        tS1[z]^3 + ((83550796920145*z^4)/382205952 + (14641931360395*z^5)/
          2304 + 25519745666610*z^6)*Cf[z]^10*tS1[z]^4 + 
       (1037562265*Cf[z]^9*tS1[z]^5)/10368) + 
     S2[z]^10*(((10369100209729976053*z^22)/87259283473884512256 + 
         (7047416967471517775*z^23)/197254963003392 + 
         (3426931501238034142529*z^24)/951268147200 + 
         (15406532206876530224641*z^25)/103219200 + 
         (11000026133504344134741*z^26)/4480 + (360058308401096119069344*
           z^27)/35 - (8378407363704771083854454784*z^28)/175 - 
         (18772675562864376406830370258944*z^29)/175 + 
         (7853154784226499394658043571470336*z^30)/7 - 
         (26546979812775704576550984286740676608*z^31)/35 - 
         (135297387468926353922878936011838876286976*z^32)/7 + 
         (464390757289016201842602287894753589382348800*z^33)/7)*Cf[z]^14 + 
       ((-298558427266249309*z^16)/23670595560407040 - 
         (24626015911362847*z^17)/10192158720 - (4331473707121104679*z^18)/
          30965760 - (1457064174829286503*z^19)/560 - 
         (73211213615052656016*z^20)/25 + (7298379107675339538235392*z^21)/
          35 + (2979421780281253581601898496*z^22)/7 - 
         (80836933121884869018764816941056*z^23)/7 + 
         (251516469748244392016967049433579520*z^24)/7)*Cf[z]^12*tS0[z] + 
       ((59707343855803*z^10)/24461180928 + (3487521052884779*z^11)/
          13271040 + (554703366396203*z^12)/80 + 23584490756231616*z^13 - 
         791619131450334412800*z^14 + 2087271464267514202030080*z^15)*
        Cf[z]^10*tS0[z]^2 + ((-1209368395*z^4)/7776 - (22665179045*z^5)/3 + 
         9877031823360*z^6)*Cf[z]^8*tS0[z]^3 + 
       (((1311846372307245949*z^18)/75745905793302528 + 
           (51251465192296045853*z^19)/13698261319680 + 
           (1880528770662741372611*z^20)/7431782400 + 
           (142583565605561583259*z^21)/22400 + (1808271197952213579831*z^22)/
            35 - (843131703740322706357248*z^23)/35 - 
           (31769926193300348153194610688*z^24)/35 - 
           (86625521304195255425802757472256*z^25)/35 + 
           (284853457489933865846714736530423808*z^26)/7 - 
           (721740655759058397402200722774708715520*z^27)/7)*Cf[z]^13 + 
         ((-22816091737399*z^12)/36691771392 - (15055274321094113*z^13)/
            159252480 - (550598646186147*z^14)/128 - 
           (308209507710066264*z^15)/5 - 265113499063359504384*z^16 + 
           5795642120463432680472576*z^17 - 10496470007687404107061002240*
            z^18)*Cf[z]^11*tS0[z] + ((2379575553095*z^6)/95551488 + 
           (2190546618137*z^7)/864 + 113794648920204*z^8 - 
           20746725108756480*z^9)*Cf[z]^9*tS0[z]^2 - 
         (403278035*Cf[z]^7*tS0[z]^3)/864)*tS1[z] + 
       (((491361432000975005*z^14)/591764889010176 + 
           (51706872066945449219*z^15)/428070666240 + 
           (3895056781838532895*z^16)/774144 + (38358793331394882179*z^17)/
            560 + (1400624654917854625920*z^18)/7 + 
           (1017676334772318980210688*z^19)/35 - 8416364391342277014142844928*
            z^20 + 8749438332499967638323823902720*z^21)*Cf[z]^12 + 
         ((-6583422006221*z^8)/573308928 - (172213489686913*z^9)/165888 - 
           (214077688892101*z^10)/12 - 430369145272654848*z^11 - 
           468251384212035993600*z^12)*Cf[z]^10*tS0[z] + 
         ((-8768535095*z^2)/73728 + (35805794095*z^3)/24)*Cf[z]^8*tS0[z]^2)*
        tS1[z]^2 + (((13243686584193401*z^10)/880602513408 + 
           (43305660830891381*z^11)/31850496 + (45619032184404511*z^12)/
            1440 + (877443265520748288*z^13)/5 + 232687699215641763840*z^14 + 
           1064264192317276406415360*z^15)*Cf[z]^11 + 
         ((-119064286615*z^4)/1492992 - (698998390627*z^5)/288 + 
           2821983070240*z^6)*Cf[z]^9*tS0[z])*tS1[z]^3 + 
       (((830645615426701*z^6)/9172942848 + (1465687168809373*z^7)/331776 + 
           (191601539422223*z^8)/4 + 35718679617880320*z^9)*Cf[z]^10 - 
         (10034420555*Cf[z]^8*tS0[z])/165888)*tS1[z]^4 + 
       ((573098645*z^2)/5184 + (260746885585*z^3)/144)*Cf[z]^9*tS1[z]^5) + 
     S2[z]^9*(((732970452981570518597*z^24)/62826684101196848824320 + 
         (25074064650798014566523*z^25)/5680942934497689600 + 
         (79724477983723919477123*z^26)/136982613196800 + 
         (82737590116028156616427*z^27)/2477260800 + 
         (303676239649288904736603*z^28)/358400 + 
         (288093136842710090133219*z^29)/35 + (1400220290041917289831512576*
           z^30)/175 - (21321702405717625809913704873984*z^31)/175 - 
         (8425236583013099718480255365677056*z^32)/175 + 
         (155531878201173756331166237515239653376*z^33)/35 - 
         (1096826869209996874978324434742109207003136*z^34)/35 + 
         (839669872321531694101052549346401407186501632*z^35)/7 - 
         221597698201008713299340132019774295444574699520*z^36)*Cf[z]^14 + 
       ((-286238971915213691*z^18)/170428288034930688 - 
         (158865178862467891*z^19)/380507258880 - (2283816112792709869*z^20)/
          69672960 - (49297287629551226171*z^21)/50400 - 
         (1261131368430842062284*z^22)/175 + (1042193597302604308819968*z^23)/
          25 + (28400602555160475652400873472*z^24)/35 - 
         (39071075491948712343973625069568*z^25)/7 + 
         (21115173812889876297033259117707264*z^26)/7 + 
         (345555931143820648169099225671359528960*z^27)/7)*Cf[z]^12*tS0[z] + 
       ((4107755616653263*z^12)/8806025134080 + (17020531217313509*z^13)/
          238878720 + (31933739750978899*z^14)/11520 + 
         (162203285849246736*z^15)/5 - 268082472686311673856*z^16 - 
         2323190784723209259319296*z^17 + 16617830917091169395665797120*z^18)*
        Cf[z]^10*tS0[z]^2 + ((-224798692273*z^6)/4478976 - 
         (5511343672615*z^7)/1296 - 56413695501280*z^8 + 
         506556023901880320*z^9)*Cf[z]^8*tS0[z]^3 + 
       (1816722425*Cf[z]^6*tS0[z]^4)/1152 + 
       (((55742986221958974679*z^20)/27268526085588910080 + 
           (186989142890824478731*z^21)/328758271672320 + 
           (1028498405298630316159*z^22)/19818086400 + 
           (12240001902964230979951*z^23)/6451200 + 
           (37921087707841481855673*z^24)/1400 + (2448820384840319999197824*
             z^25)/25 - (62356077535340505806358183936*z^26)/175 - 
           (81055846763064481803734429466624*z^27)/35 + 
           (300026008738708910186769175724163072*z^28)/35 + 
           (343306877708723334285560973467955757056*z^29)/7 - 
           (1855107011804621329703953334347629676462080*z^30)/7)*Cf[z]^13 + 
         ((-634987455834241*z^14)/6604518850560 - (6199235240955031*z^15)/
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           (145085933813670558*z^17)/5 - (1107897039814555680768*z^18)/5 + 
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           (364170602275572779135361613498956033225129984*z^42)/875875 - 
           (316346503959269374765957386519742692540838576128*z^43)/175175 + 
           (35454815121891577868048539539152007924182025240576*z^44)/7007 - 
           (124473125536387366453702983999097166472988927721472*z^45)/35 - 
           26320760243610728119492880967643565292443909750784*z^46)*
          Cf[z]^12 + ((-4931517144047555729281*z^26)/
            14577754045355831328768000 + (2923433835655067557728247*z^27)/
            29526700902051741696000 - (3331035458058647623621121*z^28)/
            237322377363456000 + (40594187762177931906564703*z^29)/
            38626689024000 - (499258524171760827274811*z^30)/9072000 + 
           (118911037300732218490596744*z^31)/67375 - 
           (3080999053224562605667934220288*z^32)/67375 + 
           (9193944427840482192061567070109696*z^33)/13475 - 
           (102230339366472718876298507870118346752*z^34)/13475 + 
           (633828575650157704651781295775687372701696*z^35)/13475 - 
           (4719072286319974732659516770432477898473472*z^36)/35 + 
           (410318033839745131496522458201616354868461568*z^37)/35)*Cf[z]^10*
          tS0[z] + ((432493146057121622251*z^20)/170428288034930688000 - 
           (32645480326546136464991*z^21)/55477958344704000 + 
           (41242156449659176115843*z^22)/668860416000 - 
           (86696626212169739841293*z^23)/24192000 + 
           (336504748769139080087399*z^24)/2625 - 
           (513374034036726875410818048*z^25)/175 + 
           (7330722985627776361034356359168*z^26)/175 - 
           (1691375145803892221119662743617536*z^27)/5 + 
           (42023370758988546739835242737486004224*z^28)/35 - 
           5151102623512246889556481482222993408*z^29)*Cf[z]^8*tS0[z]^2 + 
         ((-23577298589407103*z^14)/3210529996800 + (440092894452041087*z^15)/
            348364800 - (9371833817982601547*z^16)/100800 + 
           (632832566389208116608*z^17)/175 - (390120714775990838919168*z^18)/
            5 + (31326369590887234767226404864*z^19)/35 - 
           4274095807808537133913567395840*z^20)*Cf[z]^6*tS0[z]^3 + 
         ((18204380579251*z^8)/2359296 - (221400018269735*z^9)/256 + 
           37738191071072484*z^10 - 737952727036587724800*z^11 + 
           5345648592866576412180480*z^12)*Cf[z]^4*tS0[z]^4 + 
         ((-11145589065*z^2)/16 + 16657762518720*z^3)*Cf[z]^2*tS0[z]^5)*
        tS1[z]^2 + (((-6776570887393033159186339*z^28)/
            783700057478329492234567680000 + (45176220148242177096949309*
             z^29)/14172816432984836014080000 - (372732197730303192189431833*
             z^30)/1025232670210129920000 + (2707905500529936150838201*z^31)/
            47297986560000 - (629069955207277559863173779*z^32)/
            670602240000 + (616487627826615505276678073*z^33)/4042500 - 
           (539457051192277919123571723648*z^34)/336875 + 
           (4435445513891660496704005020844032*z^35)/67375 - 
           (9957430516929871076303792921427050496*z^36)/13475 + 
           (101646888018526558495679349848534371270656*z^37)/13475 - 
           (568011775740348887796330395515272433250598912*z^38)/13475 + 
           (3855332767713907369534472673834123259897970688*z^39)/35 - 
           (43889424685891051014390539949142386515436896256*z^40)/5)*
          Cf[z]^11 + ((876396988948334824699*z^22)/6902345665414692864000 - 
           (78015333381345769417*z^23)/2311581597696000 + 
           (73448295116832867161759*z^24)/18059231232000 - 
           (13169136663993823681*z^25)/46656 + (6431959576466519700784*z^26)/
            525 - (62027345402809598916281344*z^27)/175 + 
           (1186963869985732852373901017088*z^28)/175 - 
           (2911754092761035193565031637712896*z^29)/35 + 
           (20687179719475084116255304199203454976*z^30)/35 - 
           (13089711683038801817072725223161536184320*z^31)/7 + 
           7946175918387470385827302816766433951744*z^32)*Cf[z]^9*tS0[z] + 
         ((-15809959495792979273*z^16)/29588244450508800 + 
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           (377046497522416794487*z^18)/38707200 + 
           (168633363572867195761*z^19)/350 - (2467759430250995881961088*
             z^20)/175 + (8581700560655822124557795328*z^21)/35 - 
           (16519729128066034877781472444416*z^22)/7 + 
           9691039805039624483879449622740992*z^23)*Cf[z]^7*tS0[z]^2 + 
         ((116493803364557*z^10)/159252480 - (1201082771758693*z^11)/11520 + 
           (30685330656478188*z^12)/5 - (914743283743714111488*z^13)/5 + 
           2709880966797032127725568*z^14 - 15820850178452455473543118848*
            z^15)*Cf[z]^5*tS0[z]^3 + ((-160940436385*z^4)/2048 + 
           3309211522440*z^5 - 28124385246328320*z^6)*Cf[z]^3*tS0[z]^4)*
        tS1[z]^3 + (((37534278018538602677903657*z^24)/
            16327084530798531088220160000 - (100220365087400265097471861*
             z^25)/147633504510258708480000 + (15804181174030035503144669*
             z^26)/161810711838720000 - (52472963293199689864923197*z^27)/
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           (130356229689873342411827068*z^29)/9625 + 
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           (14965223515827882871938113366654976*z^31)/2695 + 
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           (1904112887196755967977117802204248408064*z^33)/5 + 
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           4586416969955029982043576380818490935738368*z^35)*Cf[z]^10 + 
         ((-140364542353736270809*z^18)/7669272961571880960 + 
           (2021173505467692113969*z^19)/462316319539200 - 
           (194052810490817482583*z^20)/418037760 + 
           (127724917985564281757*z^21)/4536 - (184456600485044424677208*
             z^22)/175 + (4358182430208345855748005888*z^23)/175 - 
           (12758830167061456600410963836928*z^24)/35 + 
           (21230822131581951140049696979943424*z^25)/7 - 
           10966196659853491410902694082495119360*z^26)*Cf[z]^8*tS0[z] + 
         ((3587330486538676883*z^12)/102736959897600 - 
           (11453951133732350399*z^13)/1857945600 + 
           (31334889137290820401*z^14)/67200 - (668895449785410345336*z^15)/
            35 + (3074717774440979162025984*z^16)/7 - 
           5308930662702980785206460416*z^17 + 
           26313279000694522390324935917568*z^18)*Cf[z]^6*tS0[z]^2 + 
         ((-39445320491*z^6)/73728 - (1970349216279*z^7)/16 + 
           9479116185515424*z^8 - 147140606615669342208*z^9)*Cf[z]^4*
          tS0[z]^3 - (42376259475*Cf[z]^2*tS0[z]^4)/128)*tS1[z]^4 + 
       (((-99475517340811387507*z^20)/438244169232678912000 + 
           (21168518952158327472073*z^21)/332867750068224000 - 
           (905356816042596425819*z^22)/114661785600 + 
           (8443344760634795084237*z^23)/14515200 - 
           (211085553857387387596757*z^24)/7875 + (20425733720468494422280704*
             z^25)/25 - (2853276708358670062608566452224*z^26)/175 + 
           (7257752513691614156925403624636416*z^27)/35 - 
           (10687638878652523803140591669458501632*z^28)/7 + 
           4954554643269836494236290926283285594112*z^29)*Cf[z]^9 + 
         ((36540669606311743*z^14)/51368479948800 - (48562941987932707*z^15)/
            309657600 + (2032870478768220479*z^16)/134400 - 
           (144103676690176268238*z^17)/175 + (937002621765526478125056*z^18)/
            35 - (3587364367425826282656497664*z^19)/7 + 
           5330971007142835965711077081088*z^20 - 
           23318698090298433514335390658461696*z^21)*Cf[z]^7*tS0[z] + 
         ((69210973671481*z^8)/141557760 - (209997288843155*z^9)/3072 + 
           (18257061315864492*z^10)/5 - 84006051154015841280*z^11 + 
           693070752979943169196032*z^12)*Cf[z]^5*tS0[z]^2 + 
         ((-10205203005*z^2)/128 + 1815818893200*z^3)*Cf[z]^3*tS0[z]^3)*
        tS1[z]^5 + (((3804527286774114893*z^16)/1420235733624422400 - 
           (47839843748492350627*z^17)/51368479948800 + 
           (24374355731578830713*z^18)/185794560 - 
           (57211749851817242051*z^19)/5600 + (2387371995953270130888*z^20)/
            5 - (475454145421984073819480064*z^21)/35 + 
           (8075306541878827372453300273152*z^22)/35 - 
           2158785676615491546632359400964096*z^23 + 
           8602008368341203043013711461437407232*z^24)*Cf[z]^8 + 
         ((195568156320775*z^10)/6115295232 - (11243170218317767*z^11)/
            2211840 + (53185758446695127*z^12)/160 - 
           (54110825430456125376*z^13)/5 + 172326784379995578138624*z^14 - 
           1068437279947919929525665792*z^15)*Cf[z]^6*tS0[z] + 
         ((-1167257306881*z^4)/196608 + (15154002222579*z^5)/64 - 
           1872969388634592*z^6)*Cf[z]^4*tS0[z]^2)*tS1[z]^6 + 
       (((739813700175808253*z^12)/1232843518771200 - 
           (78598375649526127*z^13)/696729600 + (3653972017700143343*z^14)/
            403200 - (13621457396638748268*z^15)/35 + 
           (324269886340905074924544*z^16)/35 - 115079112750063321253675008*
            z^17 + 582396217219647716551575994368*z^18)*Cf[z]^7 + 
         ((-338022052933*z^6)/3317760 + (1137218998397*z^7)/960 + 
           198809427157056*z^8 - 4003437399407050752*z^9)*Cf[z]^5*tS0[z] - 
         (5134146885*Cf[z]^3*tS0[z]^2)/512)*tS1[z]^7 + 
       (((134242999653961*z^8)/54358179840 - (30848027787419*z^9)/65536 + 
           (3754585890230733*z^10)/128 - 729955892393649216*z^11 + 
           6291147312222548262912*z^12)*Cf[z]^6 + 
         ((-19687161177*z^2)/16384 + (411563290383*z^3)/16)*Cf[z]^4*tS0[z])*
        tS1[z]^8 + ((-15817244705*z^4)/524288 + (554054674293*z^5)/512 - 
         6552739757052*z^6)*Cf[z]^5*tS1[z]^9 - (245222771*Cf[z]^4*tS1[z]^10)/
        8192)
 
Ff[9] = 1386485530475207919485755958131159/
      19809511102827802766712438827971069870080000 + 
     (4367006252934818919215151151*z)/1791224600588451494385890374346342400 + 
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     ((-572972184356458169537866063013*z^48)/
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       (30514750390689976752428366219291*z^49)/
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       (60453788563581136585035075421543*z^50)/
        655226191344655324878240649052160000 + 
       (9693079427397767812396801991617159*z^51)/
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       (20673933165297519809697559980907747*z^52)/
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       (2452534850606960458904193286427952659*z^53)/
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         z^54)/3633133665543782400 + (181533727138585588739190795462035025427*
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         z^58)/761674375 + 
       (16705874613108177539339562156263702546580498284544*z^59)/1980353375 + 
       (585252040729293813596195800991391973963690020534484992*z^60)/
        9901766875 + 
       (41897035090377514240923817663465895460057631345927520256*z^61)/
        180032125 + 
       (606336203127942183094326261370101580294785324703733400993792*z^62)/
        1414538125 + 
       (909745216000060924142751820471542973936218293115351370756521984*z^63)/
        1980353375)*Cf[z]^16 + ((3561643975*z^2)/49152 + 
       (33576401475*z^3)/256)*Cf[z]^16*S2[z]^23 + 
     (80727925*Cf[z]^16*S2[z]^24)/4096 + 
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         (627339647718062019068624563*z^43)/
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         (23406173177987561945585049311*z^44)/
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           z^47)/28120229609472000 - (391126033121795112110772021619*z^48)/
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         (806553070763634797189977820847474732957696*z^52)/2786875 - 
         (90030230129687527205121474527432480347077476352*z^53)/30655625 - 
         (541678011185226122310024440262365202226750685184*z^54)/56875 - 
         (9345773389703875216811687725345524167488022356426752*z^55)/625625 + 
         (902172575958952417184293319246307212750550097729683456*z^56)/
          6131125 + (90387499527219703969458477316575334848124774112034816*
           z^57)/13475 + 
         (13127070054623830181916340764661541068003419025833984*z^58)/5)*
        Cf[z]^14)*tS0[z] + (101950429696145535969069563/
        28883265618363833436304991846400 + (3978140077741037673167*z)/
        345462400554005377843200 + (2762096554615974887*z^2)/
        3844622513287987200 + (68530655*z^3)/262144 + 
       ((-2085683892291650471937377*z^36)/
          27385614808522745776644733009920000 + (137745649142913304366480291*
           z^37)/1620834209784726904394219520000 + 
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         (3430826082175248030211487534065152*z^43)/30655625 + 
         (9486689501368258451621813296847388672*z^44)/6131125 + 
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         (382069829044429346653120126129224185719321264128*z^48)/875875 - 
         (46745692003300735121077588220538149815713792*z^49)/5)*Cf[z]^12)*
      tS0[z]^2 + (-23010404193405653657/9276752574317347209216 - 
       (3830880910514821565*z)/527262516108066816 - (260507324375*z^2)/
        1528823808 + ((-295404180392596834730273*z^30)/
          881662564663120678763888640000 - (4483900355715430623205733*z^31)/
          31888836974215881031680000 - (201584407725653532786979*z^32)/
          7208667212414976000 - (924066917637827150996747*z^33)/
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         (432851181575319842408357056*z^35)/27286875 - 
         (357806735427223710767548802048*z^36)/1010625 - 
         (119152744296021019092779239735296*z^37)/30625 - 
         (1208495496848463192040861083541438464*z^38)/67375 - 
         (206889208230237545606212946086223413248*z^39)/6125 + 
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         10955316090858990441069477476387782656*z^41)*Cf[z]^10)*tS0[z]^3 + 
     (-4356482896954383659/3690837612756467712 + (57883034764615*z)/
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       ((3830644569025418580713*z^24)/1518516046391232430080000 + 
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         (6286460500868427194213276319744*z^32)/7)*Cf[z]^8)*tS0[z]^4 + 
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         (66441943433926824*z^21)/175 - (288328061040444324864*z^22)/35 - 
         (2780760383359970247180288*z^23)/35 + 169523790492083303743488*z^24)*
        Cf[z]^6)*tS0[z]^5 + (-187878827368985/74317824 + (674437725*z)/64 + 
       ((97421121607457*z^12)/8918138880 - (5258134191209*z^13)/40320 + 
         (224809084031559*z^14)/35 + (891790482322114560*z^15)/7)*Cf[z]^4)*
      tS0[z]^6 + (13628798625/16 + ((-805565735*z^6)/128 - 93027818520*z^7)*
        Cf[z]^2)*tS0[z]^7 - 113000983875*tS0[z]^8 + 
     (10939312358528798371745701033/13093747080324937824458262970368000 + 
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       (260679237371353*z^2)/328758271672320 + 
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         (13792480011858397185095218127827*z^45)/
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         (159073932287299776272943214200349*z^46)/
          62074060232651557093728061489152000 + 
         (4664280837555144614028239673062741*z^47)/
          2245155535035140230531252224000 + 
         (25937832826230194276904820126441969*z^48)/
          31232688065281397882880000 + (171893844094382947870258813099796429*
           z^49)/863853453602979840000 + 
         (14047573486305458925611176585285129477*z^50)/531159892623360000 + 
         (37698032260340351005529445527999382989*z^51)/19211512320000 + 
         (170413400703869334818608336465732175733*z^52)/2084582500 + 
         (1002773758676666464925711028189884810840832*z^53)/521145625 + 
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        Cf[z]^11 + ((-26424527624285471582791*z^22)/12270836738515009536000 + 
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         (2292440796424485957674801*z^24)/28894769971200 + 
         (484984553565508338730019*z^25)/87091200 - 
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         (6282379164182601601632617984*z^27)/875 - 
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         150819910237186952041523591726096179003392*z^32)*Cf[z]^9*tS0[z] + 
       ((172877311299694565233*z^16)/19725496300339200 - 
         (477470740779790235003*z^17)/237817036800 + 
         (733587421543174744433*z^18)/3870720 - (1928435403198975714511*z^19)/
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         (178505072785100968018351423488*z^21)/35 + 
         (1739157389818950096609167429074944*z^22)/35 - 
         206142162769169297165507955857031168*z^23)*Cf[z]^7*tS0[z]^2 + 
       ((-16973577175028351*z^10)/1698693120 + (3317123555152021*z^11)/1920 - 
         (572207435729517996*z^12)/5 + (18275862822006765413376*z^13)/5 - 
         56707556688659667992444928*z^14 + 344147143441322135441066950656*
          z^15)*Cf[z]^5*tS0[z]^3 + ((-25206992406765*z^4)/8192 + 
         (1459845234500445*z^5)/8 - 2657384534080523520*z^6)*Cf[z]^3*
        tS0[z]^4)*tS1[z]^5 + 
     (((-30565904874119499978455077*z^24)/1272240353049236188692480000 + 
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         (563134579707975166176004048896*z^30)/125 + 
         (526051622526596241545911741710336*z^31)/7 - 
         (142524906298272942336383250524754935808*z^32)/175 + 
         (182256084784843725593892501893484889767936*z^33)/35 - 
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         57683993263578164267975330367758298255458304*z^35)*Cf[z]^10 + 
       ((11394566137685195146067*z^18)/63910608013099008000 - 
         (38018277274652515644701*z^19)/770527199232000 + 
         (4412124235446917164723*z^20)/774144000 - 
         (273542504116155233407901*z^21)/756000 + 
         (97644545504722814179896*z^22)/7 - (59035715913525729154347147264*
           z^23)/175 + (176019283708835318030766893432832*z^24)/35 - 
         (1484527163753571227861445468821127168*z^25)/35 + 
         155269936706430162713809969137693229056*z^26)*Cf[z]^8*tS0[z] + 
       ((-3324718851190047697*z^12)/14676708556800 + 
         (7314345598157841503*z^13)/132710400 - (24450864080259880327*z^14)/
          4800 + (1174742718893750535912*z^15)/5 - 
         (29037587008580598028161024*z^16)/5 + 73898378402290663637951447040*
          z^17 - 381756044734550301025238419243008*z^18)*Cf[z]^6*tS0[z]^2 + 
       ((-177088172209075*z^6)/589824 + (54495153354453*z^7)/2 - 
         807256472443905168*z^8 + 7833078250169186451456*z^9)*Cf[z]^4*
        tS0[z]^3 - (369590460525*Cf[z]^2*tS0[z]^4)/128)*tS1[z]^6 + 
     (((10670285157657434164507*z^20)/8180557825676673024000 - 
         (19895404260741591467269*z^21)/44382366675763200 + 
         (686887058399420186522177*z^22)/10701766656000 - 
         (975735620595350997559129*z^23)/193536000 + 
         (10287486775428693820881077*z^24)/42000 - 
         (1343560858166619903624357888*z^25)/175 + 
         (5501787461461523043595006967808*z^26)/35 - 
         (71293662677183840771767781182930944*z^27)/35 + 
         (532618802592937442262906250765422034944*z^28)/35 - 
         50047214656872446768096122575757913358336*z^29)*Cf[z]^9 + 
       ((-96097767182324611*z^14)/164379135836160 + 
         (150303096279684963259*z^15)/267544166400 - 
         (173831504131801091053*z^16)/1935360 + (2193587688535013442529*z^17)/
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         (168994118936411125144746983424*z^19)/35 - 
         53055726529422713360050022252544*z^20 + 
         241788654765605809022920948073889792*z^21)*Cf[z]^7*tS0[z] + 
       ((-3001118382069629*z^8)/188743680 + (6073052164376485*z^9)/3072 - 
         (1798214582658261609*z^10)/20 + 1779403927143516857856*z^11 - 
         12977803637245039375024128*z^12)*Cf[z]^5*tS0[z]^2 + 
       ((-905952528585*z^2)/1024 + 25413246424215*z^3)*Cf[z]^3*tS0[z]^3)*
      tS1[z]^7 + (((48310637933758815317*z^16)/1136188586899537920 - 
         (536748520864581931951*z^17)/102736959897600 - 
         (33628354069180747153*z^18)/928972800 + (119307135896056270443*z^19)/
          3200 - (456962211910816895570958*z^20)/175 + 
         (3078647657440430910540853248*z^21)/35 - 
         (57207647465856710060653959708672*z^22)/35 + 
         16174368028059392745970960007430144*z^23 - 
         66942910866107517607626192165298765824*z^24)*Cf[z]^8 + 
       ((-2165193710056181*z^10)/5096079360 + (101155120138361377*z^11)/
          1474560 - (34363394260543403*z^12)/8 + (654907626934583380128*z^13)/
          5 - 1954085994737264793157632*z^14 + 11458601901106501480838332416*
          z^15)*Cf[z]^6*tS0[z] + ((-6587324284849*z^4)/65536 + 
         (374580224189577*z^5)/64 - 83816423589644064*z^6)*Cf[z]^4*tS0[z]^2)*
      tS1[z]^8 + (((-85263960480591330197*z^12)/19725496300339200 + 
         (633514729704128455357*z^13)/713451110400 - 
         (1879815837117029418713*z^14)/25804800 + 
         (1723132979649258154137*z^15)/560 - (2486634891898995392351616*z^16)/
          35 + 855142037549744421463916544*z^17 - 
         4212195521660903041977456525312*z^18)*Cf[z]^7 + 
       ((-58833289902413*z^6)/11796480 + (567126181542777*z^7)/1280 - 
         12876540192383616*z^8 + 122771910979151290368*z^9)*Cf[z]^5*tS0[z] - 
       (14479536825*Cf[z]^3*tS0[z]^2)/256)*tS1[z]^9 + 
     (((-121428497140587*z^8)/1342177280 + (64583358451241633*z^9)/5898240 - 
         (622406304859704159*z^10)/1280 + 9420563642593000608*z^11 - 
         67387385137976191991808*z^12)*Cf[z]^6 + 
       ((-71706396177*z^2)/8192 + (1979429684823*z^3)/8)*Cf[z]^4*tS0[z])*
      tS1[z]^10 + ((-527242338437*z^4)/1572864 + (19644989159457*z^5)/1024 - 
       270410750760861*z^6)*Cf[z]^5*tS1[z]^11 - 
     (4180904387*Cf[z]^4*tS1[z]^12)/32768 + 
     S2[z]^22*(((781841965975*z^4)/6291456 + (1547408033745*z^5)/2048 - 
         1505315651850*z^6)*Cf[z]^16 + (61178548075*Cf[z]^15*tS1[z])/
        196608) + S2[z]^21*(((90002425925425*z^6)/679477248 + 
         (85490262976265*z^7)/49152 - (44028875065905*z^8)/16 - 
         9682032952944000*z^9)*Cf[z]^16 + (9615275*Cf[z]^14*tS0[z])/3072 + 
       ((2384369018525*z^2)/2359296 + (738626704275*z^3)/256)*Cf[z]^15*
        tS1[z]) + S2[z]^20*(((357473678095055*z^8)/3623878656 + 
         (452356012765855*z^9)/196608 + (172023881284989*z^10)/128 - 
         45135712956337920*z^11 + 44286033877578547200*z^12)*Cf[z]^16 + 
       ((359583875*z^2)/73728 + (1222418925*z^3)/8)*Cf[z]^14*tS0[z] + 
       ((172747088521825*z^4)/113246208 + (52605061857085*z^5)/4096 - 
         (26228893904325*z^6)/2)*Cf[z]^15*tS1[z] + 
       (1189617262825*Cf[z]^14*tS1[z]^2)/589824) + 
     S2[z]^19*(((3567740111528935*z^10)/65229815808 + 
         (19140894194799665*z^11)/9437184 + (4610579370170007*z^12)/512 - 
         71798350826966877*z^13 + 1433286940586987520*z^14 + 
         282498547815640675123200*z^15)*Cf[z]^16 + 
       ((802649225*z^4)/221184 + (8312995355*z^5)/32 + 3048911258400*z^6)*
        Cf[z]^14*tS0[z] + (((969015220301275*z^6)/679477248 + 
           (298392330737965*z^7)/12288 + (8722681017255*z^8)/8 - 
           167334612899212800*z^9)*Cf[z]^15 - (187660025*Cf[z]^13*tS0[z])/
          9216)*tS1[z] + ((6739091060875*z^2)/1179648 + (2979874674625*z^3)/
          128)*Cf[z]^14*tS1[z]^2) + 
     S2[z]^18*(((441263654991597265*z^12)/18786186952704 + 
         (292138956036032011*z^13)/226492416 + (106627142542590631*z^14)/
          8192 - (371772031163373459*z^15)/8 - 231006410105813892864*z^16 + 
         970022135725835900682240*z^17 - 478300304393160359097139200*z^18)*
        Cf[z]^16 + ((81266680165*z^6)/31850496 + (341793945425*z^7)/2304 + 
         7170167663460*z^8 + 20011262483865600*z^9)*Cf[z]^14*tS0[z] + 
       (511421525*Cf[z]^12*tS0[z]^2)/2304 + 
       (((60560911149788185*z^8)/65229815808 + (31839864064488815*z^9)/
            1179648 + (20012412556115001*z^10)/256 - 519880126759638480*
            z^11 + 57055758024438374400*z^12)*Cf[z]^15 + 
         ((-8140822375*z^2)/221184 - (5515909525*z^3)/8)*Cf[z]^13*tS0[z])*
        tS1[z] + ((1273179996256435*z^4)/169869312 + (170525435353615*z^5)/
          2048 - 10474406545500*z^6)*Cf[z]^14*tS1[z]^2 + 
       (3073005552025*Cf[z]^13*tS1[z]^3)/442368) + 
     S2[z]^17*(((602790082926634771*z^14)/75144747810816 + 
         (23633236322762844367*z^15)/38050725888 + 
         (15166371868478818681*z^16)/1376256 + (1801548189173194623*z^17)/
          320 - (13274792616220075514736*z^18)/35 + 824082042719210495016960*
          z^19 + 1443276916614920535854284800*z^20 - 
         4048674257441969571522989260800*z^21)*Cf[z]^16 + 
       ((2064279178105*z^8)/1019215872 + (31313991275*z^9)/1536 + 
         (24619357101969*z^10)/4 + 79085385065640960*z^11 - 
         76049557261752729600*z^12)*Cf[z]^14*tS0[z] + 
       ((5217643775*z^2)/9216 + (9192714975*z^3)/4)*Cf[z]^12*tS0[z]^2 + 
       (((350989598750568689*z^10)/782757789696 + (190566336452619905*z^11)/
            9437184 + (155905077293207377*z^12)/1024 - 519284667749339871*
            z^13 - 1387234553336357529600*z^14 + 3238007591193800343552000*
            z^15)*Cf[z]^15 + ((7890926525*z^4)/5308416 - (562895357245*z^5)/
            192 + 9216680659200*z^6)*Cf[z]^13*tS0[z])*tS1[z] + 
       (((4125474380183335*z^6)/679477248 + (4801751678435225*z^7)/36864 + 
           (1759245008960835*z^8)/8 - 886996707840000000*z^9)*Cf[z]^14 - 
         (2925810875*Cf[z]^12*tS0[z])/13824)*tS1[z]^2 + 
       ((29911038600215*z^2)/1769472 + (5953525231575*z^3)/64)*Cf[z]^13*
        tS1[z]^3) + S2[z]^16*(((18674203209034216087*z^16)/8416211754811392 + 
         (13343254986601889761*z^17)/57076088832 + 
         (89069217896245110011*z^18)/13762560 + (78849792771954552891*z^19)/
          2240 - (8913578454224884917126*z^20)/35 - 
         (1465100544602995810394112*z^21)/5 + (30984357430218295686765477888*
           z^22)/7 - 7070576409065638985247164989440*z^23 - 
         3707664356850210387712165785108480*z^24)*Cf[z]^16 + 
       ((32167931723693*z^10)/24461180928 - (8700362817071*z^11)/884736 + 
         (74451114330367*z^12)/32 + 98909485893840096*z^13 + 
         219803087845862277120*z^14 - 1457617648040663423385600*z^15)*
        Cf[z]^14*tS0[z] + ((565898342125*z^4)/884736 + (283997298895*z^5)/
          32 - 19136715436800*z^6)*Cf[z]^12*tS0[z]^2 + 
       (((14645638865784893023*z^12)/87668872445952 + 
           (11566653731158812415*z^13)/1056964608 + 
           (53193845012194512443*z^14)/344064 - (19135311068550359961*z^15)/
            560 - (23657017728060521862912*z^16)/7 + 
           5122033445327496713994240*z^17 + 5543712766258279014476021760*
            z^18)*Cf[z]^15 + ((5593896329435*z^6)/127401984 - 
           (881079090575*z^7)/256 - 19598013234420*z^8 + 316625545477785600*
            z^9)*Cf[z]^13*tS0[z] + (19038897425*Cf[z]^11*tS0[z]^2)/9216)*
        tS1[z] + (((667924798222674397*z^8)/195689447424 + 
           (429444426329855821*z^9)/3538944 + (164989421218703191*z^10)/256 - 
           1734374527054649280*z^11 - 2024655875181539942400*z^12)*Cf[z]^14 + 
         ((-16868668525*z^2)/110592 - (33992159750*z^3)/3)*Cf[z]^12*tS0[z])*
        tS1[z]^2 + ((4840422329502125*z^4)/254803968 + (829757806617635*z^5)/
          3072 + 205333723410570*z^6)*Cf[z]^13*tS1[z]^3 + 
       (4047020393935*Cf[z]^12*tS1[z]^4)/294912) + 
     S2[z]^15*(((57209747705006024447*z^18)/113618858689953792 + 
         (11554572586713331816519*z^19)/164379135836160 + 
         (1403082502033595748319*z^20)/495452160 + 
         (3548941893531125906467*z^21)/107520 - (1265119195045754603088*z^22)/
          35 - (31948538758430558004884736*z^23)/35 + 
         (113211868572266395923706281984*z^24)/35 + 
         (16416770437426166890195083853824*z^25)/7 - 
         (184092780644088769168006024217493504*z^26)/7 + 
         (161151288734240929663746762761746513920*z^27)/7)*Cf[z]^16 + 
       ((316762771940899*z^12)/513684799488 - (8350659614639*z^13)/18579456 + 
         (20702185579249*z^14)/112 + (2058226345891172568*z^15)/35 + 
         (4429180795276465790976*z^16)/7 - 2183807714888442980597760*z^17 - 
         3546027135051778743368417280*z^18)*Cf[z]^14*tS0[z] + 
       ((1724330176615*z^6)/3981312 + (14694808418165*z^7)/1152 + 
         4157810995860*z^8 - 306907981779456000*z^9)*Cf[z]^12*tS0[z]^2 - 
       (3845952625*Cf[z]^10*tS0[z]^3)/3456 + 
       (((19433635839902231711*z^14)/394509926006784 + 
           (40072565269098860873*z^15)/8918138880 + 
           (66437521667199152593*z^16)/645120 + (22304884993199359389*z^17)/
            56 - 3011180218519608134784*z^18 - (13551115781156505916538880*
             z^19)/7 + 24387720321264561980530753536*z^20 - 
           9330308262563757619724125470720*z^21)*Cf[z]^15 + 
         ((17388291530617*z^8)/382205952 - (47581639559563*z^9)/27648 - 
           (110489496099451*z^10)/2 + 391864853619717120*z^11 + 
           2249338094815079301120*z^12)*Cf[z]^13*tS0[z] + 
         ((53363367025*z^2)/13824 + (80711110675*z^3)/2)*Cf[z]^11*tS0[z]^2)*
        tS1[z] + (((416179037539341133*z^10)/293534171136 + 
           (812409664982748671*z^11)/10616832 + (106052272886372729*z^12)/
            128 - 461924927953860528*z^13 - 9173805427334743769088*z^14 + 
           5899187470839724376064000*z^15)*Cf[z]^14 + 
         ((1292484172085*z^4)/7962624 - (1893849705455*z^5)/96 - 
           139534496198400*z^6)*Cf[z]^12*tS0[z])*tS1[z]^2 + 
       (((15066103712727809*z^6)/1146617856 + (57843554928194405*z^7)/
            165888 + (2358569485834883*z^8)/2 - 1763280311154140160*z^9)*
          Cf[z]^13 - (44655393775*Cf[z]^11*tS0[z])/82944)*tS1[z]^3 + 
       ((112051484812645*z^2)/3981312 + (78032592831635*z^3)/384)*Cf[z]^12*
        tS1[z]^4) + S2[z]^14*
      (((491261539838382154621*z^20)/5194004968683601920 + 
         (22537275157052330344961*z^21)/1315033086689280 + 
         (22835488608074474310931*z^22)/23781703680 + 
         (1074262317189956710315*z^23)/57344 + (424143903128150786154633*
           z^24)/5600 - (99862855096178493154793952*z^25)/175 - 
         (50340603005014489605226561536*z^26)/175 + 
         (332371786317195526096958162731008*z^27)/35 - 
         (128168393043308190347740333700284416*z^28)/7 - 
         (324120097789092577516045932204279201792*z^29)/7 + 
         (1084229984174849405124045629665772631490560*z^30)/7)*Cf[z]^16 + 
       ((862969074758593*z^14)/4109478395904 + (9641803823237617*z^15)/
          2229534720 - (15579823557008413*z^16)/80640 + 
         (660417965669793288*z^17)/35 + (19346695539000064118784*z^18)/35 + 
         (4645691894073654880763904*z^19)/7 - 18502209009155170362338574336*
          z^20 + 29836570808202330295697764515840*z^21)*Cf[z]^14*tS0[z] + 
       ((51247115995475*z^8)/254803968 + (185020337234335*z^9)/18432 + 
         66393414415131*z^10 - 673338071129448960*z^11 - 
         103553257960400486400*z^12)*Cf[z]^12*tS0[z]^2 + 
       ((-185476884475*z^2)/82944 - 12948225125*z^3)*Cf[z]^10*tS0[z]^3 + 
       (((210978250772985512441*z^16)/18034739474595840 + 
           (985945778245249609891*z^17)/684913065984 + 
           (12220260644984523157321*z^18)/247726080 + 
           (2036987670130321344413*z^19)/4480 - (28066352673777304991967*
             z^20)/35 - (308148609974401638185324544*z^21)/35 + 
           (152812868314040956245006876672*z^22)/7 + 
           (276941755886395236604249167101952*z^23)/7 - 
           (659193054324005276961211212229509120*z^24)/7)*Cf[z]^15 + 
         ((237119737862705*z^10)/9172942848 - (166828561431013*z^11)/663552 - 
           (1124700540844313*z^12)/24 - 85972129998154848*z^13 + 
           6022575477199761113088*z^14 - 1816303241211765388738560*z^15)*
          Cf[z]^13*tS0[z] + ((4231867775515*z^4)/1327104 + 
           (17563256681425*z^5)/192 + 170630454438000*z^6)*Cf[z]^11*tS0[z]^2)*
        tS1[z] + (((31852865185413013057*z^12)/70448201072640 + 
           (89181433099388312861*z^13)/2548039680 + 
           (1653872309119982851*z^14)/2560 + (33904235498023129341*z^15)/20 - 
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           23053765633598054152305377280*z^18)*Cf[z]^14 + 
         ((52902086781575*z^6)/191102976 - (8968383997367*z^7)/768 - 
           360930964834446*z^8 - 183856574567208960*z^9)*Cf[z]^12*tS0[z] + 
         (142964927875*Cf[z]^10*tS0[z]^2)/27648)*tS1[z]^2 + 
       (((38423251923827405*z^8)/6115295232 + (22396024167619087*z^9)/82944 + 
           (135896718794773197*z^10)/64 - 1208988175929679584*z^11 - 
           7393862077239290019840*z^12)*Cf[z]^13 + 
         ((-463129469765*z^2)/1990656 - (226201954475*z^3)/8)*Cf[z]^11*
          tS0[z])*tS1[z]^3 + ((6775190919318625*z^4)/254803968 + 
         (3293622412079273*z^5)/6912 + 805195519687705*z^6)*Cf[z]^12*
        tS1[z]^4 + (123758411661085*Cf[z]^11*tS1[z]^5)/7962624) + 
     S2[z]^13*(((6453493808064969704417*z^22)/436296417369422561280 + 
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         (294947293684606187320811*z^24)/1141521776640 + 
         (130589102388196493960903*z^25)/17203200 + 
         (48034008602754166797321*z^26)/640 - (5046180342315909998921172*
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         (169697951612771835490767036481536*z^29)/35 + 
         (64250709048325413420129784329928704*z^30)/7 - 
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         (634075068330221220266857094662325482291200*z^32)/7 + 
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       ((314026130595146689*z^16)/5917648890101760 + (38555157904330199*z^17)/
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         (103301746818686981*z^19)/40 + (1284378916661358633792*z^20)/5 + 
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         (89502855286037664434648776704*z^22)/7 - 
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         (1286436036627621*z^12)/16 - 298089607866076224*z^13 - 
         4168746070801847746560*z^14 + 14900046476543810076672000*z^15)*
        Cf[z]^12*tS0[z]^2 + ((-3674748646315*z^4)/1990656 - 
         (765272124125*z^5)/18 + 120444812073600*z^6)*Cf[z]^10*tS0[z]^3 + 
       (((2057738244707986319971*z^18)/908950869519630336 + 
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           (10322066561489946935197*z^21)/35840 + (543863685571166306434797*
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           (424309278175120950028625150528716800*z^26)/7 - 
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         ((4247464213165759*z^12)/428070666240 + (8944468212575863*z^13)/
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           (11085672093843239184*z^15)/35 + (25078478452541964877824*z^16)/
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           105238148371315408460505415680*z^18)*Cf[z]^13*tS0[z] + 
         ((25965526455005*z^6)/15925248 + (21110099587525*z^7)/256 + 
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       (((671381846894722830611*z^14)/5917648890101760 + 
           (216001875513364507277*z^15)/17836277760 + 
           (891420964193148446893*z^16)/2580480 + (195489878009164960737*
             z^17)/80 - 4747497466517095684608*z^18 - 
           (186079154896469634521628672*z^19)/7 + 
           13167141495985519625691463680*z^20 + 
           121041466998006885361327338946560*z^21)*Cf[z]^14 + 
         ((870163277873141*z^8)/4586471424 - (359380887053765*z^9)/165888 - 
           305305686256403*z^10 - 2589580145288779776*z^11 + 
           10057739277281730232320*z^12)*Cf[z]^12*tS0[z] + 
         ((718840481395*z^2)/110592 + (834271673425*z^3)/6)*Cf[z]^10*
          tS0[z]^2)*tS1[z]^2 + (((486464595618569551*z^10)/220150628352 + 
           (22585771976399521609*z^11)/159252480 + (7830155590397707297*z^12)/
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           3266134469450146806497280*z^15)*Cf[z]^13 + 
         ((14062130195785*z^4)/47775744 - (13464142984411*z^5)/432 - 
           458027138170000*z^6)*Cf[z]^11*tS0[z])*tS1[z]^3 + 
       (((141415046114529785*z^6)/9172942848 + (110872120428577621*z^7)/
            221184 + (63025575441317567*z^8)/24 - 877726301046174720*z^9)*
          Cf[z]^12 - (208366612495*Cf[z]^10*tS0[z])/248832)*tS1[z]^4 + 
       ((834537995458525*z^2)/31850496 + (847375888774655*z^3)/3456)*Cf[z]^11*
        tS1[z]^5) + S2[z]^12*
      (((121385073634171379249881*z^24)/62826684101196848824320 + 
         (91467038892854524999627*z^25)/162312655271362560 + 
         (306889638511027384279445*z^26)/5479304527872 + 
         (60289161862747136168179*z^27)/25804800 + 
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         (32670992586190062738050757*z^29)/175 - 
         (25387821237277359081366280704*z^30)/35 - 
         (288909765046973017515013454168064*z^31)/175 + 
         (2470639934817507917504341618345377792*z^32)/175 - 
         (201556155517422790533903001973887598592*z^33)/35 - 
         (1813482108915686898973262102233915469070336*z^34)/7 + 
         (8288579238112979143056522492412188968261517312*z^35)/7 - 
         (13007298713507941879610812477201929692205149061120*z^36)/7)*
        Cf[z]^16 + ((4315115079550835467*z^18)/426070720087326720 + 
         (2249274158732197829*z^19)/2201506283520 - (83887908908268547*z^20)/
          10321920 - (989864342982943793*z^21)/2016 + 
         (1845882242411843598792*z^22)/25 + (259430070260254412703965184*
           z^23)/175 + (66145705502737770843413151744*z^24)/35 - 
         (563887584886598695127196660400128*z^25)/7 + 
         (1851190487671277797363814886260342784*z^26)/7 - 
         (366549686393448802580187179424594001920*z^27)/7)*Cf[z]^14*tS0[z] + 
       ((55605268350509441*z^12)/3082108796928 + (430276331324807081*z^13)/
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         (5700337670304662736*z^15)/35 - (34033501014470822707200*z^16)/7 + 
         5172047318057047031808000*z^17 + 64220424811317504545233305600*z^18)*
        Cf[z]^12*tS0[z]^2 + ((-127294258519295*z^6)/143327232 - 
         (228211244230115*z^7)/5184 - 114681160326480*z^8 + 
         2392349794884403200*z^9)*Cf[z]^10*tS0[z]^3 + 
       (12164586875*Cf[z]^8*tS0[z]^4)/1728 + 
       (((11209092909030174704929*z^20)/31164029812101611520 + 
           (594839645571934107315343*z^21)/7890198520135680 + 
           (6397261194168353509993*z^22)/1274019840 + 
           (1078985609322440836209971*z^23)/8601600 + 
           (1564023558332196629186133*z^24)/1600 - 
           (29784840269579845203080016*z^25)/25 - 
           (2830996738763077414165470314496*z^26)/175 + 
           (950218624712108712035889463689216*z^27)/35 + 
           (1407372779485270185012831009695072256*z^28)/7 - 
           (3948450489334345351562446407018183917568*z^29)/7 - 
           (3266473896011093733853495776886507217879040*z^30)/7)*Cf[z]^15 + 
         ((42781839402651169*z^14)/15410543984640 + (27962265225865031*z^15)/
            185794560 - (1332668175156573407*z^16)/241920 - 
           (15453206769356413509*z^17)/70 + (2304044253424811759616*z^18)/
            35 + 33747572459484733705814016*z^19 - 
           12602309302104389690540949504*z^20 - 
           492492636553369251439071933235200*z^21)*Cf[z]^13*tS0[z] + 
         ((448667685821909*z^8)/764411904 + (1628222090967533*z^9)/36864 + 
           (3561882723613547*z^10)/4 + 1507037089305496320*z^11 - 
           30915472341744593141760*z^12)*Cf[z]^11*tS0[z]^2 + 
         ((-181789024715*z^2)/27648 - (1969668014125*z^3)/9)*Cf[z]^9*
          tS0[z]^3)*tS1[z] + 
       (((8620635901605435999937*z^16)/378729528966512640 + 
           (11150540821829351409169*z^17)/3424565329920 + 
           (100338480567591612100873*z^18)/743178240 + 
           (9460892861918689115051*z^19)/5376 + (523596678694375055099229*
             z^20)/175 - (192053989954657929568923648*z^21)/7 - 
           (124292776415834018600221409280*z^22)/7 - 
           (44530156191015885842350621065216*z^23)/7 + 
           (5543594949323628215244227987908853760*z^24)/7)*Cf[z]^14 + 
         ((991667237710175*z^10)/12230590464 + (26358875030486287*z^11)/
            19906560 - (67956426530401439*z^12)/480 - 2864419237981351968*
            z^13 - 5086605377552921690112*z^14 + 110492955210517085065052160*
            z^15)*Cf[z]^12*tS0[z] + ((69482221380155*z^4)/15925248 + 
           (5047320416245*z^5)/32 + 1894237240737360*z^6)*Cf[z]^10*tS0[z]^2)*
        tS1[z]^2 + (((46995887630419539019*z^12)/79254226206720 + 
           (154718796821860531667*z^13)/2866544640 + 
           (692045857448990176541*z^14)/552960 + (65570452280238217817*z^15)/
            10 - 11815848966395100492288*z^16 - 18219527366873375061835776*
            z^17 - 61667327204195148748805898240*z^18)*Cf[z]^13 + 
         ((1411841981572697*z^6)/3439853568 - (1992173658477127*z^7)/124416 - 
           520039952437620*z^8 - 4556701101462405120*z^9)*Cf[z]^11*tS0[z] + 
         (346790013005*Cf[z]^9*tS0[z]^2)/82944)*tS1[z]^3 + 
       (((2710255163542158889*z^8)/440301256704 + (5055075191300249237*z^9)/
            15925248 + (1962825224314201637*z^10)/576 + 3441491451777550416*
            z^11 - 9367082472747181178880*z^12)*Cf[z]^12 + 
         ((-30455553535*z^2)/73728 - (7675855889915*z^3)/216)*Cf[z]^10*
          tS0[z])*tS1[z]^4 + ((93361476688541555*z^4)/4586471424 + 
         (25114778026820099*z^5)/55296 + (3819673287587990*z^6)/3)*Cf[z]^11*
        tS1[z]^5 + (75135407287385*Cf[z]^10*tS1[z]^6)/7962624) + 
     S2[z]^11*(((981841045231023100909*z^26)/4653828451940507320320 + 
         (8524477865206521196843301*z^27)/111093995163510374400 + 
         (5098338660297264484189309*z^28)/516620141199360 + 
         (16370060743935731755026773*z^29)/29066526720 + 
         (1726867478954335128377270261*z^30)/118272000 + 
         (23188758131063304886735055853*z^31)/154000 + 
         (2258513148453996801856463296128*z^32)/9625 - 
         (2155739896076083931782000037265408*z^33)/875 + 
         (5447405026509933802897501034561667072*z^34)/1925 + 
         (3636441614961892877038121315689612443648*z^35)/175 - 
         (519056716184215820227776727809986628943872*z^36)/7 - 
         (9040949921088255609916788941527700240735404032*z^37)/35 + 
         (17945425628576373267626995288469037351342251704320*z^38)/7 - 
         (42723765774790982106851964737730078251585136607887360*z^39)/7)*
        Cf[z]^16 + ((1239601249769297729*z^20)/852141440174653440 + 
         (14932475109385507939*z^21)/61642175938560 + 
         (1779918540578349013*z^22)/445906944 - (218035053674906994377*z^23)/
          806400 + (1794576388002639129222*z^24)/175 + 
         (106252908482992504386023424*z^25)/175 + 
         (138321478814377585709043154944*z^26)/35 - 
         (645875773087446399686112587022336*z^27)/35 - 
         (1451558990621633859358529488655745024*z^28)/7 + 
         (12044739786903654065703897799260333146112*z^29)/7 - 
         (27445507076998046728920012719501077842493440*z^30)/7)*Cf[z]^14*
        tS0[z] + ((7658782920828709*z^14)/2054739197952 + 
         (482306394876472763*z^15)/891813888 + (783688690971892119*z^16)/
          35840 + (7609387680728769381*z^17)/35 - 
         (47991197663513202733056*z^18)/35 - (151633298671578776900468736*
           z^19)/7 + 171953481787934559189168291840*z^20 - 
         263069766582660443165730589900800*z^21)*Cf[z]^12*tS0[z]^2 + 
       ((-115935501421087*z^8)/382205952 - (158656186844101*z^9)/6912 - 
         (1088848890102340*z^10)/3 + 3317604653348720640*z^11 + 
         4127289062519639900160*z^12)*Cf[z]^10*tS0[z]^3 + 
       ((11570211625*z^2)/1152 + 98525551250*z^3)*Cf[z]^8*tS0[z]^4 + 
       (((12331654796365766515207*z^22)/261777850421653536768 + 
           (212771846087157508144657*z^23)/16907568257433600 + 
           (1064301036554350733424313*z^24)/951268147200 + 
           (6268760058791138876579819*z^25)/154828800 + 
           (12784723561576900025734897*z^26)/22400 + 
           (47415178396268875323961776*z^27)/25 - 
           (1660892079731658649308917047296*z^28)/175 - 
           (2506635359483732383961842427363328*z^29)/175 + 
           (2405589465103447473305549563603451904*z^30)/35 + 
           (26513703798811090317715777720857095307264*z^31)/35 - 
           (36594753827963129545921341555592789084864512*z^32)/7 + 
           (71097134261872222676490424301650732613181112320*z^33)/7)*
          Cf[z]^15 + ((390022947309917111*z^16)/657516543344640 + 
           (18155346034145564999*z^17)/321052999680 - 
           (8727143047719623609*z^18)/23224320 - (12854491729826033411*z^19)/
            140 - (123388121292602439468096*z^20)/175 + 
           (68928162011961293990264832*z^21)/7 + 
           (1100589717057269054578347737088*z^22)/7 - 
           (7053425125337600461341384914239488*z^23)/7 + 
           (6550109002422747438738635919363932160*z^24)/7)*Cf[z]^13*tS0[z] + 
         ((78208756094533*z^10)/509607936 + (1873567341018403*z^11)/110592 + 
           (1992504613822275*z^12)/4 + 5243331535247113344*z^13 - 
           35326588714796824657920*z^14 - 80014214420029177457541120*z^15)*
          Cf[z]^11*tS0[z]^2 + ((-1929449837365*z^4)/995328 - 
           (2181091121275*z^5)/8 - 2071850223857280*z^6)*Cf[z]^9*tS0[z]^3)*
        tS1[z] + (((25143504954269745970789*z^18)/6817131521397227520 + 
           (853115383800572768225533*z^19)/1232843518771200 + 
           (892683785269769491469539*z^20)/22295347200 + 
           (223947396664647187636927*z^21)/268800 + 
           (1749183024752798052325833*z^22)/350 - 
           (1333418356686682728070691328*z^23)/175 - 
           (1584279694005804234547299090432*z^24)/35 - 
           (995372858715610502068287892881408*z^25)/7 + 
           (7593344642033966083168129463057645568*z^26)/7 - 
           (74776358421624402734424528341497282560*z^27)/7)*Cf[z]^14 + 
         ((2217658691793890683*z^12)/92463263907840 + 
           (4069765151881042849*z^13)/3344302080 - (2410126488432735049*z^14)/
            60480 - (53724558839991394808*z^15)/35 - 
           (112183268700109570375680*z^16)/7 + 89159006532515336646819840*
            z^17 + 405807610577607525888625213440*z^18)*Cf[z]^12*tS0[z] + 
         ((192584823057563*z^6)/95551488 + (318810445442719*z^7)/3456 + 
           2158881376483500*z^8 + 14697646156516700160*z^9)*Cf[z]^10*
          tS0[z]^2 + (5149548385*Cf[z]^8*tS0[z]^3)/3456)*tS1[z]^2 + 
       (((1640905706779672027*z^14)/13209037701120 + 
           (3312390645040486898591*z^15)/214035333120 + 
           (3117946723896963347713*z^16)/5806080 + 
           (220446073106221143729*z^17)/40 + (182283497086865315346432*z^18)/
            35 - (205062618700006387675693056*z^19)/5 + 
           22755574198617198343074349056*z^20 - 
           562231415792628522347543585095680*z^21)*Cf[z]^13 + 
         ((2148958104629567*z^8)/9172942848 - (40856993180969*z^9)/20736 - 
           (3367282406601850*z^10)/9 - 3988867280783711232*z^11 - 
           37520165251945349775360*z^12)*Cf[z]^11*tS0[z] + 
         ((370259611595*z^2)/55296 + (237433015345*z^3)/6)*Cf[z]^9*tS0[z]^2)*
        tS1[z]^3 + (((527368084536665321*z^10)/293534171136 + 
           (86935000651557994523*z^11)/637009920 + 
           (86420347498948752089*z^12)/34560 + (47806571980113196996*z^13)/
            5 - 15153851816498045251584*z^14 + 16046688516248606028595200*
            z^15)*Cf[z]^12 + ((2415796277935*z^4)/5971968 - 
           (2943516455833*z^5)/64 - 315134472002960*z^6)*Cf[z]^10*tS0[z])*
        tS1[z]^4 + (((266688166240633655*z^6)/27518828544 + 
           (189633789264967559*z^7)/497664 + (33864739652477575*z^8)/12 + 
           1833455428892121600*z^9)*Cf[z]^11 - (2571890185*Cf[z]^9*tS0[z])/
          82944)*tS1[z]^5 + ((67694242298735*z^2)/5308416 + 
         (2708492434595*z^3)/18)*Cf[z]^10*tS1[z]^6) + 
     S2[z]^10*(((2552297880130880818934731*z^28)/
          132689956821727744716963840 + (207445242964074722652027683*z^29)/
          23996302955318240870400 + (319450216060820186476903529*z^30)/
          225016772611276800 + (39585056940705319187884850293*z^31)/
          366238236672000 + (28949237960434964427621560827*z^32)/7225344000 + 
         (592705298039026308524218693719*z^33)/8624000 + 
         (2631089992791934468936103475384*z^34)/6125 - 
         (2495962489628599622736009952518144*z^35)/9625 - 
         (60199474157891155142716922355215499264*z^36)/13475 + 
         (933291956449180960081428733540039655424*z^37)/77 + 
         (76397295762696418894201166769892647266942976*z^38)/1925 - 
         (3709709221908084912492624627861335820346589184*z^39)/7 + 
         (99101222769668657894284872229812796721748995211264*z^40)/35 - 
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           (33238114058684903982177536850033870069515157504*z^37)/35)*
          Cf[z]^10*tS0[z]^2 + ((-3872802064593298582573*z^20)/
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           (153778645736521423096859*z^23)/604800 - 
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           (36449746700026568065029070848*z^25)/175 - 
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         ((15238584205238297*z^14)/38220595200 - (23893770730970754917*z^15)/
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           (34075842527137659809088*z^17)/175 + (147041266398360714999300096*
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         ((-33416617017211*z^8)/98304 + (1219258152585015*z^9)/32 - 
           1654319832811666848*z^10 + 32229906139908485775360*z^11 - 
           233435250129726423076700160*z^12)*Cf[z]^4*tS0[z]^5 + 
         ((838888545105*z^2)/32 - 652428065802240*z^3)*Cf[z]^2*tS0[z]^6)*
        tS1[z]^2 + (((-366256549748186241971132839*z^34)/
            7222579729720284600433775738880000 + 
           (121893090653483268430438872397*z^35)/
            2037620149443656679809875968000 + 
           (1270938743873138945070619230031*z^36)/
            122831075752535245455360000 + (69971468952914690526842213666549*
             z^37)/13328024712731688960000 + 
           (17567630576290155282022294277239*z^38)/26781171056640000 + 
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           (243995369058714670492140661327695744*z^41)/4379375 + 
           (2362408828036745280789366558192878419968*z^42)/4379375 + 
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           (243877130460449400293558541797863662054014976*z^44)/125125 + 
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           (67351198779286864942766431012762766225368078765522944*z^46)/
            175175 + 
           (162486261744978346969299328522687438555616426578698829824*z^47)/
            175175 - 
           (13659494946340340742429837227195419628786771373884178432*z^48)/
            35 - 3658459971990739136924120767085052340379113726301700096*
            z^49)*Cf[z]^13 + ((1126100665636112211707154349*z^28)/
            587775043108747119175925760000 - (3336244530667943716299979649*
             z^29)/5314806162369313505280000 + (75088284604261318445443595287*
             z^30)/768924502657597440000 - (29160180014632449954257585701*
             z^31)/3476402012160000 + (84496564522261490243120636371*z^32)/
            167650560000 - (181018208317453009344057547792*z^33)/9095625 + 
           (190543548303270183441991198199296*z^34)/336875 - 
           (114458426139371074738181914365001728*z^35)/9625 + 
           (10997322026928328618800966194356870447104*z^36)/67375 - 
           (21254635560372023187075490349256737241956352*z^37)/13475 + 
           (23945464130614909278495339126220324599490412544*z^38)/2695 - 
           (809492754011770861653349915783961007637477195776*z^39)/35 + 
           (49768587965770354602504742134093950421363308101632*z^40)/35)*
          Cf[z]^11*tS0[z] + ((-3595855515615014524931*z^22)/
            262946501539607347200 + (44736299979122803132601*z^23)/
            12328435187712000 - (5220503618149567408547773*z^24)/
            12039487488000 + (13017161332763822708329627*z^25)/435456000 - 
           (2274065943645894458271397*z^26)/1750 + 
           (6565048835217828715757148672*z^27)/175 - 
           (25131312133526980405081356632064*z^28)/35 + 
           (1540708347242488891952290876555788288*z^29)/175 - 
           (438206094135562351302946646023666139136*z^30)/7 + 
           (6933951612179112871630753266312538459471872*z^31)/35 - 
           727955137910847244871316178504382976884736*z^32)*Cf[z]^9*
          tS0[z]^2 + ((41255426271520789189*z^16)/1056723016089600 - 
           (151981313754774007819*z^17)/19110297600 + 
           (975171784174193363467*z^18)/1382400 - (6070245747685903632066*
             z^19)/175 + (177200804457766483291823616*z^20)/175 - 
           (123116390749557968348428369920*z^21)/7 + 
           (1183829433943937970008721778016256*z^22)/7 - 
           694498800443291248095070040289705984*z^23)*Cf[z]^7*tS0[z]^3 + 
         ((-5804305972445489*z^10)/141557760 + (29861818815651863*z^11)/
            5120 - (1703190480808745223*z^12)/5 + (50343561441567227593728*
             z^13)/5 - 148336258671155825646501888*z^14 + 
           864002833142855280466379931648*z^15)*Cf[z]^5*tS0[z]^4 + 
         ((2019246044205*z^4)/512 - 183763812789180*z^5 + 1926656819871713280*
            z^6)*Cf[z]^3*tS0[z]^5)*tS1[z]^3 + 
       (((627792677954385891082533697*z^30)/
            16121829753839920983111106560000 - 
           (1136556027617021838179745970553*z^31)/
            106126049450190452073431040000 + 
           (12778813183308958002709799790601*z^32)/
            3838471117266726420480000 - (16951603035698827845036526471*z^33)/
            1067950698135552000 + (22662779333492038874597219353889*z^34)/
            627683696640000 + (12329641857871665844565065733*z^35)/33696000 + 
           (660516564661806094955756164088356*z^36)/13138125 - 
           (1114516909143279304082445032960385024*z^37)/4379375 + 
           (10729693729403428494544303414158563475456*z^38)/875875 - 
           (15794107464059229008256727343539346642829312*z^39)/125125 + 
           (198018158191350753182747018936780410153460563968*z^40)/175175 - 
           (1016111829973361472303507041851322579704124327067648*z^41)/
            175175 + (485764866956657563633905790606800120596955050016768*
             z^42)/35 - (5585413082254977334733192716754600836717372652912640*
             z^43)/7)*Cf[z]^12 + ((-1519569123350951790627370403*z^24)/
            3061328349524724579041280000 + (16531003772550131166874818881*
             z^25)/110725128382694031360000 - (1230753126748915153352900567*
             z^26)/60679016939520000 + (921148075343281355761857299*z^27)/
            565820640000 - (219906710936503395714331638949*z^28)/2619540000 + 
           (84843775162308231873700717472*z^29)/28875 - 
           (4795529189031578567046904932335616*z^30)/67375 + 
           (15798400824142075288883810181020909568*z^31)/13475 - 
           (170223168647159280039179269099960903139328*z^32)/13475 + 
           (401239721811323677841335712100807503511552*z^33)/5 - 
           (8027061207214751549848541526461397917025435648*z^34)/35 + 
           836130398133920549271451795400385428409286656*z^35)*Cf[z]^10*
          tS0[z] + ((13080298112809004873617*z^18)/6391060801309900800 - 
           (374648380152574109371*z^19)/770527199232 + 
           (35612000222809944789229*z^20)/696729600 - 
           (185660012165052268145093*z^21)/60480 + 
           (19975086123973438414916304*z^22)/175 - 
           (470202213726321313098093723648*z^23)/175 + 
           (1373135965146494913368500457177088*z^24)/35 - 
           (1628851542193786103862976585270296576*z^25)/5 + 
           1176990005584888427465250160523272519680*z^26)*Cf[z]^8*tS0[z]^2 + 
         ((-1292142853887259519*z^12)/475634073600 + 
           (4606403499551309411*z^13)/9676800 - (6214498283611335982*z^14)/
            175 + (50126053507243053429888*z^15)/35 - 
           (227373128740345472633438208*z^16)/7 + 
           389100128268909823829798289408*z^17 - 
           1917206439705128903453995092148224*z^18)*Cf[z]^6*tS0[z]^3 + 
         ((21826205931365*z^6)/147456 - (171750465409611*z^7)/32 - 
           112898824937678304*z^8 + 3728111744116495024128*z^9)*Cf[z]^4*
          tS0[z]^4 + (102059878635*Cf[z]^2*tS0[z]^5)/8)*tS1[z]^4 + 
       (((-26518007267341988691529451*z^26)/3958081098375401475932160000 + 
           (104047504244324322797104548703*z^27)/42518449298954508042240000 - 
           (123483946113132910009181719699*z^28)/384462251328798720000 + 
           (15848653156564777958772076951*z^29)/421382062080000 - 
           (241646164972765073745369697331*z^30)/143700480000 + 
           (472979248948201795560676936331*z^31)/5197500 - 
           (31000952929241348799854690769408*z^32)/13475 + 
           (689952367149945798127475637292105728*z^33)/13475 - 
           (9855834484915121492983867247943600832512*z^34)/13475 + 
           (95117796504284464410714000883637885910122496*z^35)/13475 - 
           40585532665861209279454331960690066935775232*z^36 + 
           (3706986952877655711003809292327223663948103417856*z^37)/35 - 
           383548681881258170087423053358207349486715404288*z^38)*Cf[z]^11 + 
         ((9038629717995528323893*z^20)/170428288034930688000 - 
           (2429069282392690717149619*z^21)/166433875034112000 + 
           (3605313858555898742125111*z^22)/2006581248000 - 
           (9366243723239266286672251*z^23)/72576000 + 
           (46504508248549916043518089*z^24)/7875 - 
           (31127139526467877533780544512*z^25)/175 + 
           (123597935572729993913759324700672*z^26)/35 - 
           (1564714383666196693524212965743525888*z^27)/35 + 
           (11480819251546339794647046105278630068224*z^28)/35 - 
           1062250676087931923064721658465245590454272*z^29)*Cf[z]^9*tS0[z] + 
         ((-2365266799230506971*z^14)/25684239974400 + 
           (881543398467336490301*z^15)/44590694400 - 
           (1490137166669605670903*z^16)/806400 + (3403743692046280295322*
             z^17)/35 - (15353523138532160764698624*z^18)/5 + 
           (402712362795901454017461485568*z^19)/7 - 
           589544629214848502837359587360768*z^20 + 
           2550480721520984281339363375328526336*z^21)*Cf[z]^7*tS0[z]^2 + 
         ((-514284751613533*z^8)/23592960 + (1637739539332095*z^9)/512 - 
           (894915066216284406*z^10)/5 + 4282120987063712557056*z^11 - 
           36508708496999948595757056*z^12)*Cf[z]^5*tS0[z]^3 + 
         ((2034087167385*z^2)/512 - 95292653190930*z^3)*Cf[z]^3*tS0[z]^4)*
        tS1[z]^5 + (((448958121979835786003081*z^22)/
            883500245173080686592000 - (843843636823821834451621*z^23)/
            5325884001091584000 + (13794872989198914748942477*z^24)/
            577895399424000 - (20251784259596524072993127*z^25)/10450944000 + 
           (3524038018289334980612831*z^26)/31500 - 
           (3579185074797257909433449312*z^27)/875 + 
           (2635338058712508458615356882944*z^28)/25 - 
           (318669902527883542207709543443464192*z^29)/175 + 
           (716734398823479718862953282106246037504*z^30)/35 - 
           (4735418554967734494065205802094401677164544*z^31)/35 + 
           398870278810620027461338832343627283744948224*z^32)*Cf[z]^10 + 
         ((-68682516548215974377*z^16)/59176488901017600 + 
           (3498422044340824987*z^17)/10701766656 - 
           (1028565619687577574737*z^18)/25804800 + 
           (1944802661294150758059*z^19)/700 - (598089635540662642807104*
             z^20)/5 + (112699599880721286312942501888*z^21)/35 - 
           (369088841494402526683320293523456*z^22)/7 + 
           481279402451934856646428043117592576*z^23 - 
           1883411689033180893013544504011895341056*z^24)*Cf[z]^8*tS0[z] + 
         ((-54308659310986099*z^10)/20384317440 + (243966732722825*z^11)/
            576 - (222041651390683995*z^12)/8 + (4543718900259417951744*z^13)/
            5 - 14602687377995110048137216*z^14 + 
           91569417079455509626453229568*z^15)*Cf[z]^6*tS0[z]^2 + 
         ((3512705345917*z^4)/8192 - (153412183842381*z^5)/8 + 
           192739944414594816*z^6)*Cf[z]^4*tS0[z]^3)*tS1[z]^6 + 
       (((1871688274721648291353*z^18)/511284864104792064000 + 
           (238311456051994828211*z^19)/6164217593856000 - 
           (13029459305812537715009*z^20)/111476736000 + 
           (54391485425832339363553*z^21)/3024000 - 
           (219658477413064455381843*z^22)/175 + 
           (9026054974055814321470671872*z^23)/175 - 
           (9015816709173069187632215359488*z^24)/7 + 
           (680674546079813061626857153848410112*z^25)/35 - 
           163981034242304353410307930381539606528*z^26 + 
           595564054396557320787596424054893784858624*z^27)*Cf[z]^9 + 
         ((-6642100698531156281*z^12)/61642175938560 + 
           (4483892657799709201*z^13)/222953472 - (16157779844407487131*z^14)/
            10080 + (2397053975152881083976*z^15)/35 - 
           (57021250800630412967768064*z^16)/35 + 
           20300796591985969124522065920*z^17 - 
           103341444959668134734971879292928*z^18)*Cf[z]^7*tS0[z] + 
         ((283504721936167*z^6)/17694720 - (15837337172063*z^7)/20 + 
           4119200168331096*z^8 + 135654378954284630016*z^9)*Cf[z]^5*
          tS0[z]^2 + (74766796065*Cf[z]^3*tS0[z]^3)/128)*tS1[z]^7 + 
       (((-58388385181348515733*z^14)/39450992600678400 + 
           (929233318244485982701*z^15)/2853804441600 - 
           (3228713734620360894101*z^16)/103219200 + 
           (18818116812860116029303*z^17)/11200 - (1880066497440279156525072*
             z^18)/35 + (35494927097143320819497926656*z^19)/35 - 
           10437931617807269928723806158848*z^20 + 
           45213311579469607131013042510233600*z^21)*Cf[z]^8 + 
         ((-505667583299*z^8)/3932160 + (1598284535313811*z^9)/36864 - 
           (16451236722440076*z^10)/5 + 90508155171467938560*z^11 - 
           830698726554535249575936*z^12)*Cf[z]^6*tS0[z] + 
         ((446668964001*z^2)/4096 - (10015788592539*z^3)/4)*Cf[z]^4*tS0[z]^2)*
        tS1[z]^8 + (((-55398114284442727*z^10)/3913788948480 + 
           (364664797967264227*z^11)/141557760 - (950348769554656049*z^12)/
            5120 + (32284993483184764743*z^13)/5 - 107837911359016684683264*
            z^14 + 693488112849548506463993856*z^15)*Cf[z]^7 + 
         ((588010698389*z^4)/98304 - (502932365577*z^5)/2 + 
           2295260030296224*z^6)*Cf[z]^5*tS0[z])*tS1[z]^9 + 
       (((275715852160187*z^6)/3397386240 - (222775955214523*z^7)/61440 + 
           (41405442604533*z^8)/8 + 841461508258474752*z^9)*Cf[z]^6 + 
         (4952513193*Cf[z]^4*tS0[z])/1024)*tS1[z]^10 + 
       ((9792014373*z^2)/32768 - (104115361167*z^3)/16)*Cf[z]^5*tS1[z]^11)
 
Ff[10] = 356627852292765707079126988485826492363/
      6024626992680813999834720595873185537447690240000 + 
     (1507464227833152305849585309960981*z)/
      233053071797974150196616927387894939648000 + 
     (30246767357449233825495662058929*z^2)/
      11941497337256343295905935828975616000 + 
     (103890337739773216973003915179*z^3)/971801541117866479159011704832000 + 
     (590826744559*z^4)/225485783040 + 
     ((-118185424872053957668191210757279951931*z^54)/
        522569057548671828917428564814750850946992124723200000 + 
       (609196222066240376897075279344526290957*z^55)/
        5409317165145512008830276629291300145856512000000 - 
       (142875856379693963189950480302634253947*z^56)/
        5425574158259715665952986669347818700800000 + 
       (93675741050084817287637445026610958981189*z^57)/
        23352261459523515778660496732218982400000 - 
       (272232779469309925961107599397349395804087*z^58)/
        844627512280219754725857086668800000 + 
       (2206870090136302186991462698803942174103651*z^59)/
        30549316850413040897202585600000 + 
       (36649885177940713332474529175470492978766413*z^60)/
        3314813026303498361241600000 + 
       (263484245037642664135940701857500129427113*z^61)/
        103803819015536640000 + (65789147505832390321882054713875661416881261*
         z^62)/240912364492800000 + 
       (2222049367668073499910556708211472432589855271*z^63)/
        117632990475000 + (422435602202751360363482732164889136097933072416*
         z^64)/544597178125 + 
       (54045746530023187090232647316692153496136392518434816*z^65)/
        2722985890625 + 
       (167686141402073469696239762625320212352048042674439061504*z^66)/
        544597178125 + 
       (144932549838978132938252937723681068055894955218808181096448*z^67)/
        49508834375 + 
       (5091135015306294883986386423119755537681131184819192006180864*z^68)/
        314978125 + 
       (28331488312366336049398282799599253549857001720068895199027919847424*
         z^69)/544597178125 + (3146550545846341356323342433750139101587106232\
8207083995425283629907968*z^70)/388997984375 + 
       (854394524579411030518981839083238366712045180094681065671313726303843\
1232*z^71)/108919435625)*Cf[z]^18 + ((6433433624575*z^2)/6291456 + 
       (1588416931125*z^3)/2048)*Cf[z]^18*S2[z]^26 + 
     (1683480621875*Cf[z]^18*S2[z]^27)/7077888 + 
     (358294681506718892587289089622837/
        184873830993585263377124004899051274240000 - 
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         6192454952283978173689871990784*z^17 + 
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         6699568587399002808584145488314368*z^20 - 
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          z^14 - 1259716111206468996020092010496*z^15)*Cf[z]^6*tS0[z]^2 + 
       ((212943157733055*z^4)/32768 - (6073174567559835*z^5)/16 + 
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         1093397937665631043879888533226820468736*z^26 - 
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         188083168608870038603995545600*z^17 + 
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         (5018681347738255629*z^8)/4 - 12020522715708659559936*z^9)*Cf[z]^5*
        tS0[z]^2 + (106115330295*Cf[z]^3*tS0[z]^3)/32)*tS1[z]^9 + 
     (((4991779887972460890079*z^14)/631215881610854400 - 
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         (128149326920077128825311*z^16)/619315200 - 
         (101943767072057144790697*z^17)/8960 + (12703979899285188620389002*
           z^18)/35 - (236687796792320758524832223232*z^19)/35 + 
         68505212300407877343485211181056*z^20 - 
         292367682854028939027768895309086720*z^21)*Cf[z]^8 + 
       ((53141058671569549*z^8)/3019898880 - (139414045061780515*z^9)/65536 + 
         (30275573343067360269*z^10)/320 - 1839304923060813139728*z^11 + 
         13220286904740896666320896*z^12)*Cf[z]^6*tS0[z] + 
       ((50259761856135*z^2)/65536 - (1395727523277345*z^3)/64)*Cf[z]^4*
        tS0[z]^2)*tS1[z]^10 + 
     (((3883331568184389799*z^10)/15655155793920 - 
         (21746491605990094981*z^11)/566231040 + (47637223166313214741*z^12)/
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         1008914521290201099251712*z^14 - 5812058882474222167724654592*z^15)*
        Cf[z]^7 + ((92119282937171*z^4)/1572864 - (862344709601697*z^5)/256 + 
         47777431015796634*z^6)*Cf[z]^5*tS0[z])*tS1[z]^11 + 
     (((1666163392969613*z^6)/1132462080 - (21078508512727051*z^7)/163840 + 
         (59087494683554931*z^8)/16 - 34868297092661348832*z^9)*Cf[z]^6 + 
       (10478715665*Cf[z]^4*tS0[z])/512)*tS1[z]^12 + 
     ((417097134289*z^2)/262144 - (11428007115591*z^3)/256)*Cf[z]^5*
      tS1[z]^13 + S2[z]^25*(((312017637134375*z^4)/150994944 + 
         (14931624190125*z^5)/2048 - (378018560178675*z^6)/16)*Cf[z]^18 + 
       (923992303475*Cf[z]^17*tS1[z])/196608) + 
     S2[z]^24*(((28418609809896475*z^6)/10871635968 + (8816486652514765*z^7)/
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        Cf[z]^18 + (195503508275*Cf[z]^16*tS0[z])/294912 + 
       ((86041439045975*z^2)/4718592 + (1693759264125*z^3)/64)*Cf[z]^17*
        tS1[z]) + S2[z]^23*(((101145622356046525*z^8)/43486543872 + 
         (29652903527824105*z^9)/786432 - (18511765551784395*z^10)/256 - 
         510433489002896640*z^11 + 948130819868539238400*z^12)*Cf[z]^18 + 
       ((234832013725*z^2)/98304 + (362724888975*z^3)/64)*Cf[z]^16*tS0[z] + 
       ((3752683478409125*z^4)/113246208 + (691673322953865*z^5)/4096 - 
         (723949000163325*z^6)/2)*Cf[z]^17*tS1[z] + 
       (31267516688725*Cf[z]^16*tS1[z]^2)/786432) + 
     S2[z]^22*(((539484202971316385*z^10)/347892350976 + 
         (522567246778568765*z^11)/12582912 + (39026666748766041*z^12)/1024 - 
         1301002155039494871*z^13 + 2260066515893399704320*z^14 + 
         1318079396496804603494400*z^15)*Cf[z]^18 + 
       ((28651799430625*z^4)/7077888 + (14168910607845*z^5)/512 - 
         21699350539200*z^6)*Cf[z]^16*tS0[z] + 
       (((34032309791647565*z^6)/905969664 + (5182180559700875*z^7)/12288 - 
           (52263740360869155*z^8)/64 - 1762032184050445200*z^9)*Cf[z]^17 + 
         (485266481225*Cf[z]^15*tS0[z])/49152)*tS1[z] + 
       ((7808947544974925*z^2)/56623104 + (634740454073475*z^3)/2048)*
        Cf[z]^16*tS1[z]^2) + S2[z]^21*
      (((60552444556096777105*z^12)/75144747810816 + 
         (618956306091568355*z^13)/18874368 + (16870775186746389577*z^14)/
          98304 - (24516327372649101297*z^15)/16 + 88514493686329317408*
          z^16 + 13633593296515610299269120*z^17 - 
         18311270952175373670521241600*z^18)*Cf[z]^18 + 
       ((68367817407515*z^6)/15925248 + (4341569793269285*z^7)/73728 - 
         (37222100000055*z^8)/16 - 201833834957755200*z^9)*Cf[z]^16*tS0[z] + 
       (724690336225*Cf[z]^14*tS0[z]^2)/294912 + 
       (((1946861014333754525*z^8)/65229815808 + (118421232951530815*z^9)/
            196608 - (9595427078552673*z^10)/128 - 9658376826679697400*z^11 + 
           11021381526118427136000*z^12)*Cf[z]^17 + 
         ((56731644773725*z^2)/1769472 + (1466236989675*z^3)/16)*Cf[z]^15*
          tS0[z])*tS1[z] + ((303338613930737975*z^4)/1358954496 + 
         (25195605838763905*z^5)/16384 - (16216494003926325*z^6)/8)*Cf[z]^16*
        tS1[z]^2 + (1999682180159525*Cf[z]^15*tS1[z]^3)/10616832) + 
     S2[z]^20*(((67154292157924655215*z^14)/200385994162176 + 
         (2980682456974004399137*z^15)/152202903552 + 
         (1206653415578868929719*z^16)/5505024 - (208817266336038142119*z^17)/
          256 - (34745096385172714034412*z^18)/7 + 27771206278694566300397568*
          z^19 - 31451819115295464720087121920*z^20 - 
         17065448748983594782489470566400*z^21)*Cf[z]^18 + 
       ((17382773514960905*z^8)/5435817984 + (44210741600701715*z^9)/589824 + 
         (9776894849703123*z^10)/64 - 722181136531006800*z^11 + 
         46732430866658918400*z^12)*Cf[z]^16*tS0[z] + 
       ((53975410788425*z^2)/7077888 + (5516260297275*z^3)/256)*Cf[z]^14*
        tS0[z]^2 + (((27715729006935691775*z^10)/1565515579392 + 
           (32431014782071968917*z^11)/56623104 + (7539937075739102059*z^12)/
            4096 - 17806953630027084804*z^13 + 10570188287884132051200*z^14 + 
           43109815354830884988518400*z^15)*Cf[z]^17 + 
         ((4143183541287425*z^4)/84934656 + (298509536389475*z^5)/768 - 
           193809411839925*z^6)*Cf[z]^15*tS0[z])*tS1[z] + 
       (((7322702872885974925*z^6)/32614907904 + (628893971759247545*z^7)/
            196608 - (260101699239807135*z^8)/128 - 17069461641653497200*z^9)*
          Cf[z]^16 + (27232861680125*Cf[z]^14*tS0[z])/442368)*tS1[z]^2 + 
       ((49057320626479375*z^2)/84934656 + (5625558188043325*z^3)/3072)*
        Cf[z]^15*tS1[z]^3) + S2[z]^19*
      (((22956491603628223733713*z^16)/201989082115473408 + 
         (16724116360349544992731*z^17)/1826434842624 + 
         (821714418287989681469*z^18)/4718592 + (987742332555836425359*z^19)/
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         (666468215343614170132844544*z^21)/35 + 
         (184367542949437116982241525760*z^22)/7 - 
         165255723217887677008909959168000*z^23 + 
         150213561094870694189211970437120000*z^24)*Cf[z]^18 + 
       ((174146917677033115*z^10)/97844723712 + (38341342516014989*z^11)/
          589824 + (184469204521915699*z^12)/512 - 903659102530384176*z^13 - 
         585717400315102832640*z^14 - 2747005076509301617459200*z^15)*
        Cf[z]^16*tS0[z] + ((921992680139125*z^4)/84934656 + 
         (303966845298095*z^5)/3072 - 180059937315300*z^6)*Cf[z]^14*
        tS0[z]^2 + (((238261579422912581761*z^12)/29222957481984 + 
           (3738638930421253372679*z^13)/9512681472 + 
           (1105856321946594213181*z^14)/344064 - (1616993154578327848983*
             z^15)/112 - (257627700800166494583936*z^16)/7 + 
           195966319265204678779207680*z^17 - 146138759454500056697772441600*
            z^18)*Cf[z]^17 + ((23556530618647915*z^6)/509607936 + 
           (13443219863196565*z^7)/18432 + 286459198417920*z^8 - 
           1928011044281241600*z^9)*Cf[z]^15*tS0[z] + 
         (6751804472875*Cf[z]^13*tS0[z]^2)/221184)*tS1[z] + 
       (((41141894275454409355*z^8)/260919263232 + (55119901035694791955*z^9)/
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            z^11 + 35629478664759255398400*z^12)*Cf[z]^16 + 
         ((157652045658775*z^2)/884736 + (1834672150375*z^3)/3)*Cf[z]^14*
          tS0[z])*tS1[z]^2 + ((838981909057791875*z^4)/1019215872 + 
         (271918659544341025*z^5)/36864 - 4388903370322275*z^6)*Cf[z]^15*
        tS1[z]^3 + (5821516932628925*Cf[z]^14*tS1[z]^4)/10616832) + 
     S2[z]^18*(((1389951705346399584855647*z^18)/43629641736942256128 + 
         (1805739589981282104537371*z^19)/526013234675712 + 
         (2366771880933192201328369*z^20)/23781703680 + 
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           1116122982124902890285322731520*z^20 - 
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         ((637001950736224633*z^8)/18345885696 + (1027602365993914187*z^9)/
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       (((12502328337456055834594193*z^16)/4544754347598151680 + 
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           (404875076012624550617783*z^14)/5806080 + 
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           (835443592126822635001*z^9)/31850496 + (681986708795187689179*
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         35230722552560639060407520428032*z^33 + 
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         (39971441957682546926928182319066232582569984*z^36)/35 + 
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         (110805506078980652006621*z^21)/197254963003392 + 
         (2731920517871951262855643*z^22)/89181388800 + 
         (95857499844849926590147*z^23)/161280 + 
         (4776712970035863865693203*z^24)/1400 + 
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         (90889289003121192671698354176*z^26)/175 - 
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         (6181031570693795617193986244053303296*z^28)/7 + 
         7515384223981615488799501345517878640640*z^29 - 
         (170977455250151604176122805469993756021227520*z^30)/7)*Cf[z]^16*
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           (8116262373094193*z^5)/768 + 33440144817092970*z^6)*Cf[z]^10*
          tS0[z]^2)*tS1[z]^4 + 
       (((3064873210897947049654273*z^12)/53258840010915840 + 
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           (8431317883860389320204219*z^14)/69672960 + 
           (271932323851136941280831*z^15)/420 - (5650570611096101871697536*
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           5047055484352835655130782105600*z^18)*Cf[z]^13 + 
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        tS1[z]^5 + (((469727624182121479409*z^8)/1174136684544 + 
           (3910532603346241552441*z^9)/191102976 + 
           (7448283763689306428329*z^10)/34560 + 225845154245190897732*z^11 - 
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         ((21830747332595*z^2)/55296 + (557918732069735*z^3)/144)*Cf[z]^10*
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         (11910918247801565*z^5)/576 + (108676209036169185*z^6)/2)*Cf[z]^11*
        tS1[z]^7 + (6868551628544765*Cf[z]^10*tS1[z]^8)/21233664) + 
     S2[z]^10*(((374861890408835057335996699541*z^34)/
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         (1306735029300547844219812021851547*z^35)/
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           (583372461929735075179268795803435008*z^30)/67375 - 
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           89449933767171089281408929379150782458216054784*z^35)*Cf[z]^10*
          tS0[z]^2 + ((-92312227168032948646477*z^18)/532588400109158400 + 
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           24419103721062071235466399580160*z^17 + 
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           9694965931016189760*z^8 - 21762321886022692700160*z^9)*Cf[z]^4*
          tS0[z]^5 - (15163860646935*Cf[z]^2*tS0[z]^6)/32)*tS1[z]^4 + 
       (((-277580384344937464633366838959*z^32)/
            2708467398645106725162665902080000 + 
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             z^36)/1807729046323200000 + 
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            175175 + 
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             z^46)/35)*Cf[z]^13 + ((170720042710391870960759755507*z^26)/
            97962507184791186529320960000 - (1532917484577691445822646626453*
             z^27)/2657403081184656752640000 + 
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           (23604200581609682382184625001087369216*z^33)/1925 + 
           (2395044256038792437979826409600478628282368*z^34)/13475 - 
           (23050522147245867519444881453187046097723326464*z^35)/13475 + 
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           81757550521675543665532181062565945689506261762048*z^38)*Cf[z]^11*
          tS0[z] + ((-98454931105762146058279*z^20)/14202357336244224000 + 
           (69927911037665813364756113*z^21)/36985305563136000 - 
           (14656170143298499534184567*z^22)/63700992000 + 
           (13178721601512952831699057*z^23)/806400 - 
           (129598998171860765913931712*z^24)/175 + 
           (3878104965968443039766133806592*z^25)/175 - 
           (76639734216346172861685093254037504*z^26)/175 + 
           (193375710683627661062474456602270236672*z^27)/35 - 
           (1415082872795531756278106600885868438749184*z^28)/35 + 
           130719708049507941554559296148114658987868160*z^29)*Cf[z]^9*
          tS0[z]^2 + ((6117228913129984961*z^14)/713451110400 - 
           (3365290007562078639601*z^15)/1857945600 + 
           (697514673956532886277*z^16)/4200 - (1497145929204615193363392*
             z^17)/175 + (1854504074015234005262745600*z^18)/7 - 
           (34221315547005263693886926094336*z^19)/7 + 
           49547928999721035551046035312738304*z^20 - 
           212599319277152721357017497238023176192*z^21)*Cf[z]^7*tS0[z]^3 + 
         ((1651619442566345*z^8)/2359296 - (29456318894549677*z^9)/256 + 
           7059459802657365432*z^10 - 180297712946663195258880*z^11 + 
           1611780450245621000228044800*z^12)*Cf[z]^5*tS0[z]^4 + 
         ((-11620399574745*z^2)/64 + 4510898921430720*z^3)*Cf[z]^3*tS0[z]^5)*
        tS1[z]^5 + (((679130528383841167512821123179*z^28)/
            32243659507679841966222213120000 - 
           (45368071063819223242064307770527*z^29)/
            8163542265399265544110080000 + (257198833201012484175259227033269*
             z^30)/147633504510258708480000 - 
           (2744585790132027184249729611571*z^31)/53397534906777600 + 
           (2769609289619003279494842918644387*z^32)/193133445120000 - 
           (219214151473998657592345518170663*z^33)/997920000 + 
           (1683054695207353995454475305404832*z^34)/91875 - 
           (23189051137740119540574210383358025728*z^35)/67375 + 
           (469450030489802579206864982377222392250368*z^36)/67375 - 
           (1198114371138374385808283843123961275747401728*z^37)/13475 + 
           (10462131857780323073240852839872228210173691297792*z^38)/13475 - 
           (28580997906502197461598080822762509926518061268992*z^39)/7 + 
           (343626767796662783639482168852615527406886415482486784*z^40)/35 - 
           31089633359716359109686756138447917267207276873121792*z^41)*
          Cf[z]^12 + ((-3078841765460271791533589*z^22)/
            22087506129327017164800 + (234480453661316685046235699*z^23)/
            5325884001091584000 - (1020513309910609107870417293*z^24)/
            165112971264000 + (10883258201083695795697763059*z^25)/
            20901888000 - (14217550650821856347389301233*z^26)/504000 + 
           (913167192066148642522255036928*z^27)/875 - 
           (4621115534012765606668065531346944*z^28)/175 + 
           (15879791153679650513012488824523063296*z^29)/35 - 
           (177559214317194729991700073186246820626432*z^30)/35 + 
           (1168063201781636521729652299542366047201918976*z^31)/35 - 
           98087607095191226009060840214681654359161307136*z^32)*Cf[z]^10*
          tS0[z] + ((4499946945425070111781*z^16)/22543424343244800 - 
           (898027454614269000754987*z^17)/17122826649600 + 
           (466710216340078629472669*z^18)/77414400 - 
           (636902965581283077555951*z^19)/1600 + 
           (2866378535005183212979856088*z^20)/175 - 
           (14910337238945698119301121138688*z^21)/35 + 
           (238197625702415535378265524249034752*z^22)/35 - 
           61027576568803292090829849582624571392*z^23 + 
           235653850655264752614992472563008652967936*z^24)*Cf[z]^8*
          tS0[z]^2 + ((142794775807171129*z^10)/849346560 - 
           (823427246042553301*z^11)/30720 + (35332540218902911509*z^12)/20 - 
           (291722845669147376552448*z^13)/5 + 947796365695883069278126080*
            z^14 - 6015669258596489778667802591232*z^15)*Cf[z]^6*tS0[z]^3 + 
         ((-424321779669825*z^4)/16384 + (19759703477833665*z^5)/16 - 
           13798023516844352640*z^6)*Cf[z]^4*tS0[z]^4)*tS1[z]^6 + 
       (((-20207049086131377556339007113*z^24)/
            21769446041064708117626880000 + (41080874087096110462000545277*
             z^25)/98422336340172472320000 - (33447977444013728946698226313*
             z^26)/647242847354880000 + (912835496082111582609005323283*z^27)/
            128755630080000 - (6625589259480536246406775267969*z^28)/
            18627840000 + (180957883199356220269460752108*z^29)/9625 - 
           (7507362354414902572666150188693504*z^30)/13475 + 
           (169081803387085903651627266086101057536*z^31)/13475 - 
           (2583941897482503359943554268757627993325568*z^32)/13475 + 
           (67823946799087534363708957979748125028384768*z^33)/35 - 
           (407394700333885025062853394406220182426144997376*z^34)/35 + 
           31505185520342696584657143179324506607984635281408*z^35)*
          Cf[z]^11 + ((11071521166344306955547*z^18)/14202357336244224000 - 
           (106012926302708892080599*z^19)/256842399744000 + 
           (693205766139637934814637*z^20)/9289728000 - 
           (298574029694097324800519*z^21)/42000 + 
           (72053724913721302646154924*z^22)/175 - 
           (2641471014860974436486502334464*z^23)/175 + 
           (2470614205695818712223782468059136*z^24)/7 - 
           (178881568268397195679402261083095826432*z^25)/35 + 
           41901798897206047675273266970524251062272*z^26 - 
           149154201503938651463435286830247711464226816*z^27)*Cf[z]^9*
          tS0[z] + ((1522057473510817972327*z^12)/136982613196800 - 
           (2554906512334570672073*z^13)/1238630400 + 
           (14652293637666432789479*z^14)/89600 - (243802471149896421985164*
             z^15)/35 + (5801230458063864539532868608*z^16)/35 - 
           2072217322668956170911429427200*z^17 + 
           10605876814187293073328306244288512*z^18)*Cf[z]^7*tS0[z]^2 + 
         ((-227078662404331*z^6)/147456 + (386909704456887*z^7)/4 - 
           1609684213847882112*z^8 + 4056614608212478328832*z^9)*Cf[z]^5*
          tS0[z]^3 - (3794832668835*Cf[z]^3*tS0[z]^4)/128)*tS1[z]^7 + 
       (((-782350795379063303353547*z^20)/26177785042165353676800 + 
           (77477765663990308127188067*z^21)/10651768002183168000 - 
           (211627827083525224370605013*z^22)/513684799488000 + 
           (59189298019621965880689959*z^23)/4644864000 + 
           (3440503917114734887055957371*z^24)/2016000 - 
           (22399326497078188196426741232*z^25)/175 + 
           (176510086249978761434302391267328*z^26)/35 - 
           (576785839530246771871692023949950976*z^27)/5 + 
           (55683043738683647752212107216505765101568*z^28)/35 - 
           12309468636716211482304031677371623151763456*z^29 + 
           41272092287088345242835293369601487682307883008*z^30)*Cf[z]^10 + 
         ((795843786817822627201*z^14)/2465687037542400 - 
           (33405621937963570397401*z^15)/475634073600 + 
           (688721763607731666315071*z^16)/103219200 - 
           (3972954697920034776386139*z^17)/11200 + 
           (394332668890547296442339088*z^18)/35 - 
           (7423309497132672516357661310976*z^19)/35 + 
           2183565363579600754316546037252096*z^20 - 
           9481205272480545478332352931139944448*z^21)*Cf[z]^8*tS0[z] + 
         ((-91153183138671007*z^8)/6039797760 - (55835288389587027*z^9)/
            65536 + (107860716568204463133*z^10)/640 - 5859206405517978203904*
            z^11 + 60082943487013459692453888*z^12)*Cf[z]^6*tS0[z]^2 + 
         ((-15524247706695*z^2)/2048 + (364279524465825*z^3)/2)*Cf[z]^4*
          tS0[z]^3)*tS1[z]^8 + 
       (((19312570140187178892463*z^16)/5680942934497689600 - 
           (88461470667808459358491*z^17)/102736959897600 + 
           (1460216231340810044288671*z^18)/14863564800 - 
           (1706992406041853423503379*z^19)/268800 + 
           (45041795843810312616424938*z^20)/175 - 
           (230060572640348843468557522944*z^21)/35 + 
           (516433975249618477940191943196672*z^22)/5 - 
           911644725216896174072766410375823360*z^23 + 
           3465101305749143615622971721565322870784*z^24)*Cf[z]^9 + 
         ((1929879688808186671*z^10)/978447237120 - 
           (6727409205157442381*z^11)/17694720 + (7344262231228300199*z^12)/
            256 - 1034947422835247383128*z^13 + 17803469433287958127607808*
            z^14 - 117404563691750153700104994816*z^15)*Cf[z]^7*tS0[z] + 
         ((-345852911021363*z^4)/524288 + (15427247320466901*z^5)/512 - 
           318697290682040376*z^6)*Cf[z]^5*tS0[z]^2)*tS1[z]^9 + 
       (((4425601788079404257191*z^12)/78901985201356800 - 
           (32032648497454911893351*z^13)/2853804441600 + 
           (97841827259299504668439*z^14)/103219200 - 
           (94593061288064649656943*z^15)/2240 + (36288092920428362524832352*
             z^16)/35 - 13241891312392662319104589824*z^17 + 
           68773063136562454721051095990272*z^18)*Cf[z]^8 + 
         ((-1978110855985999*z^6)/94371840 + (25479627789375987*z^7)/20480 - 
           (37504369109076795*z^8)/2 + 21504708785508906240*z^9)*Cf[z]^6*
          tS0[z] - (3722103240495*Cf[z]^4*tS0[z]^2)/8192)*tS1[z]^10 + 
       (((-27372605422908659*z^8)/217432719360 + (1890097088201377*z^9)/
            2359296 + (1544920581664361697*z^10)/2560 - 23670966674852071200*
            z^11 + 250190442584052815978496*z^12)*Cf[z]^7 + 
         ((-1898294568873*z^2)/32768 + (42859933138917*z^3)/32)*Cf[z]^5*
          tS0[z])*tS1[z]^11 + ((-5289669792293*z^4)/3145728 + 
         (298091642321223*z^5)/4096 - (2840472406776609*z^6)/4)*Cf[z]^6*
        tS1[z]^12 - (26221797481*Cf[z]^5*tS1[z]^13)/32768)
 
Ff[11] = 11049929858569564977075448194775355677941607/
      173509257389207443195239953161147743478493478912000000 + 
     (18288205979073213425551330704031746202123*z)/
      4330200650989335062381205428283852105040527360000 + 
     (397112747688282517676678889402801857*z^2)/
      438708535453031696426667281466796277760000 + 
     (12575125262259349422391542681979*z^3)/
      149268716715704291198824197862195200 + (103536016420062121991*z^4)/
      842462796656620339200 + (20011654269721*z^5)/10737418240 + 
     ((-15242174985907347306805521740959097735857273*z^60)/
        251073947445080905859130862193747045646672593838208450560000 + 
       (83740468030044212894240069569776334011391529*z^61)/
        2494804658138347803500788386356136541151085723648000000 - 
       (10326568428549239535238963948352372625370261*z^62)/
        1171877188053501816669667464430454348709888000000 + 
       (62164561550511977779292946805816858995167276359*z^63)/
        42427989917590976507752355754299942240256000000 - 
       (151073200650583508752500975050809874949524209183*z^64)/
        895170022615068104848652374735060992000000 + 
       (559998553464284976307152068104816774350285346813*z^65)/
        32377387970741757264491188322304000000 - 
       (7057955082561058335606871818673079747701879981*z^66)/
        234211429186499980211886489600000 + 
       (31812191813143441540884089275304723957488747613*z^67)/
        85567564090887163084800000 + 
       (104267565223724809495751465395460456996653091893301*z^68)/
        1838365634765153894400000 + 
       (465744569970896593013513472366823004374437370365377*z^69)/
        66491812600012800000 + 
       (6005658104667932064185004646590537010241952120331019*z^70)/
        12024705693000000 + 
       (1452793441504935265579384300131669388642326492359662704*z^71)/
        62628675484375 + 
       (6066938786490808443413850494052698490796281028299458445312*z^72)/
        8946953640625 + 
       (72894423316838429954480526768039776400291461129879366016172032*z^73)/
        5693515953125 + 
       (9540885477622819243454424389279359885084179805612082500196408229888*
         z^74)/62628675484375 + (71750450539304242697322131871030044501146044\
875095867264013129232678912*z^75)/62628675484375 + 
       (323129782057240053455455429540955647456990255109117763508821406886966\
329344*z^76)/62628675484375 + (8747500700051775140221195381361857829211486685\
73967120604019573550569471606784*z^77)/62628675484375 + 
       (117412525293322726498812774567729680179315527260841676681146957345927\
9674565722112*z^78)/62628675484375 + (104771401682658799707860974460915136939\
3662893213488172747491003369630133388153192448*z^79)/62628675484375)*
      Cf[z]^20 + ((6242426453125*z^2)/393216 - (996239806875*z^3)/2048)*
      Cf[z]^20*S2[z]^29 + (13209845125*Cf[z]^20*S2[z]^30)/4096 + 
     (2289490701442448142751282587197517544793/
        564808780563826312484505055863111144135720960000 + 
       (1172165668112068784081497692452408563*z)/
        2553569790598896450396525317668145725440000 + 
       (937204714650507950131366111836733*z^2)/
        8956123002942257471929451871731712000 + 
       (19868190517440360249460137163*z^3)/26994487253274068865528102912000 + 
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         99851120526276613749097857024*z^17 - 
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     (((-1203647537300356087*z^8)/217432719360 + (15496721592973353743*z^9)/
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       (120412670648125*Cf[z]^19*tS1[z])/1572864) + 
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       ((3257132046543175*z^2)/9437184 + (40943075602875*z^3)/256)*Cf[z]^19*
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         (1938324155608147885*z^9)/3145728 - (1360907186668352055*z^10)/512 - 
         4037830778054229525*z^11 + 15692302099879762636800*z^12)*Cf[z]^20 + 
       ((44042725775875*z^2)/589824 + (9187428065625*z^3)/128)*Cf[z]^18*
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     S2[z]^25*(((955897257282557635*z^10)/21743271936 + 
         (21196627145201435965*z^11)/25165824 - (14195316721530050145*z^12)/
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       ((4250947931374325*z^4)/28311552 + (18361770099875*z^5)/32 - 
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       (((5321199055734802285*z^6)/5435817984 + (2742668794858247365*z^7)/
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        Cf[z]^18*tS1[z]^2) + S2[z]^24*
      (((1350197684842452676715*z^12)/50096498540544 + 
         (275993107777148360095*z^13)/339738624 + (27202303772258697289*z^14)/
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       (((53418087202507961455*z^8)/57982058496 + (240722390784126837985*z^9)/
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           (265203491714153635725*z^11)/2 + 296556637663216707840000*z^12)*
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       ((17146083035459692625*z^4)/2717908992 + (416467615485534825*z^5)/
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       (68258027720093375*Cf[z]^17*tS1[z]^3)/14155776) + 
     S2[z]^23*(((1999352017366646477605*z^14)/150289495621632 + 
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         (19823554445644003006933*z^16)/5505024 - 
         (8736368616765269767827*z^17)/256 - (13227211901184733647432*z^18)/
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         1322625348741396870563459235840*z^20 + 
         808923163843519272893531396505600*z^21)*Cf[z]^20 + 
       ((686631762392888435*z^8)/4076863488 + (1625175396988174075*z^9)/
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         48419229108965492736000*z^12)*Cf[z]^18*tS0[z] + 
       ((3626467701425*z^2)/18432 + (5850529003275*z^3)/16)*Cf[z]^16*
        tS0[z]^2 + (((113296286837030306005*z^10)/173946175488 + 
           (285612329651166840383*z^11)/18874368 - (4582253909954325321*z^12)/
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            z^14 - 1240730309399511092428800*z^15)*Cf[z]^19 + 
         ((33797405426883775*z^4)/14155776 + (24709375901163605*z^5)/2048 - 
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       (((20660797510049841155*z^6)/2717908992 + (41640360345020165585*z^7)/
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            z^9)*Cf[z]^18 + (416375696442025*Cf[z]^16*tS0[z])/147456)*
        tS1[z]^2 + ((756906111239015425*z^2)/42467328 + (474009920489125*z^3)/
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      (((136034428970306827298605*z^16)/25248635264434176 + 
         (1221174489675671238348845*z^17)/3652869685248 + 
         (949465777149191462329*z^18)/229376 - (31327724123968634495907*z^19)/
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         (5504195210787547393557920256*z^21)/7 - 
         (9466350908844628957074101895168*z^22)/7 - 
         646390703104681739984929114030080*z^23 + 
         2921880717549521726616654822191923200*z^24)*Cf[z]^20 + 
       ((10994423306943476035*z^10)/97844723712 + (42503886770202780031*z^11)/
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          z^13 + 118408696473389158563840*z^14 + 15343079169109007322316800*
          z^15)*Cf[z]^18*tS0[z] + ((3579901277980825*z^4)/10616832 + 
         (264326237812105*z^5)/128 - 3809910277042200*z^6)*Cf[z]^16*
        tS0[z]^2 + (((189232919925866873771545*z^12)/526013234675712 + 
           (488196392469131277933889*z^13)/38050725888 + 
           (21688448236523828494079*z^14)/458752 - 
           (62775764003926693102959*z^15)/112 + (3908954973151389793247712*
             z^16)/7 + 3163815365125821576413921280*z^17 - 
           5516856780969276035012807884800*z^18)*Cf[z]^19 + 
         ((922271439952363915*z^6)/339738624 + (4394622273134325145*z^7)/
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          Cf[z]^17*tS0[z] + (31045135987825*Cf[z]^15*tS0[z]^2)/36864)*
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           (779338057214735255975*z^9)/7077888 - (123091370196003503711*z^10)/
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           (1334356317594275*z^3)/64)*Cf[z]^16*tS0[z])*tS1[z]^2 + 
       ((20953519803327344675*z^4)/679477248 + (24923868241881993755*z^5)/
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       (790635432416110525*Cf[z]^16*tS1[z]^4)/42467328) + 
     S2[z]^21*(((1650064540327409483730395*z^18)/908950869519630336 + 
         (80147947890336599104479097*z^19)/526013234675712 + 
         (29566625372748051945217181*z^20)/9512681472 + 
         (6377824972110186052198603*z^21)/1720320 - 
         (81376009621898961549676167*z^22)/560 + 
         (15598658838802488051505825728*z^23)/35 + 
         (4464349993066671065379950493696*z^24)/7 - 
         (44304519623495049469978868208107520*z^25)/7 + 
         (91065455246572006111825881231796469760*z^26)/7 - 
         (61028761468727072798831632893206121676800*z^27)/7)*Cf[z]^20 + 
       ((5768693805514313314805*z^12)/98627481501696 + 
         (16844124441024099666767*z^13)/7134511104 + 
         (107297885907040839433*z^14)/8064 - (2388422961182482809483*z^15)/
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          z^17 - 783900675510877004444467200000*z^18)*Cf[z]^18*tS0[z] + 
       ((45788889042038395*z^6)/127401984 + (87043499673246815*z^7)/18432 - 
         (27292787360587545*z^8)/4 - 23321751204659731200*z^9)*Cf[z]^16*
        tS0[z]^2 + (3050824222775*Cf[z]^14*tS0[z]^3)/110592 + 
       (((1006105223270066468877565*z^14)/6312158816108544 + 
           (3753199205131702437555275*z^15)/456608710656 + 
           (611246386863024155222195*z^16)/8257536 - 
           (689224782975313379884737*z^17)/1792 - (7594541486318859771718080*
             z^18)/7 + (61744779265192446059924262912*z^19)/7 - 
           14937274989813384872884583792640*z^20 + 
           4055210505569426037232641874329600*z^21)*Cf[z]^19 + 
         ((105998086684859588375*z^8)/48922361856 + 
           (150511246509754254335*z^9)/3538944 + (65326914277588711*z^10)/
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          Cf[z]^17*tS0[z] + ((3633646505357125*z^2)/1327104 + 
           (61876897791025*z^3)/8)*Cf[z]^15*tS0[z]^2)*tS1[z] + 
       (((12774220556046774303805*z^10)/3131031158784 + 
           (1429219162998341312269*z^11)/12582912 + 
           (4991502543137877112331*z^12)/24576 - (6425007715553571398817*
             z^13)/2 + 4182218089687658085298560*z^14 + 
           3774822624679291629797376000*z^15)*Cf[z]^18 + 
         ((42556095815112175*z^4)/2654208 + (26672873793073815*z^5)/256 - 
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       (((813369906789377911825*z^6)/24461180928 + 
           (172881746458723950655*z^7)/442368 - (35553775199591291405*z^8)/
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         (11707157672318975*Cf[z]^15*tS0[z])/884736)*tS1[z]^3 + 
       ((31307952673139639675*z^2)/509607936 + (2718944096310070975*z^3)/
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     S2[z]^20*(((99698860067980336519411903*z^20)/193909518830854471680 + 
         (239177115896632559571605395*z^21)/4208105877405696 + 
         (14623780896721917444285425*z^22)/8455716864 + 
         (13175037153222743960508197*z^23)/1146880 - 
         (11098519336228650405343623*z^24)/140 - 
         (3919185048883097090823215328*z^25)/35 + 
         (75747051914353162507846895468544*z^26)/35 - 
         (266220895149766641171904443998797824*z^27)/35 + 
         (74968101751627866147056022031335161856*z^28)/7 - 
         2078785895540818445490910540660463370240*z^29 - 
         (36068472315930620244020535846416480521420800*z^30)/7)*Cf[z]^20 + 
       ((2748300489836003704693*z^14)/112717121716224 + 
         (80430017687788688035663*z^15)/57076088832 + 
         (165727171199661828445709*z^16)/10321920 - 
         (774759215777119584171*z^17)/20 - (1781598847603696036258176*z^18)/
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         2287429825299376336533203189760*z^20 + 
         1999421619803010133355481425510400*z^21)*Cf[z]^18*tS0[z] + 
       ((1637521068905265025*z^8)/6115295232 + (2756700471542325565*z^9)/
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          z^11 + 136776873432999761510400*z^12)*Cf[z]^16*tS0[z]^2 + 
       ((65367105150725*z^2)/884736 + (17467739171575*z^3)/32)*Cf[z]^14*
        tS0[z]^3 + (((7772112054387687654779147*z^16)/134659388076982272 + 
           (30129518779349011917585599*z^17)/7305739370496 + 
           (87270272479565779051541759*z^18)/1321205760 - 
           (6732865832422776377314673*z^19)/143360 - 
           (316183571489889491685966891*z^20)/140 + 
           (301159019494833778444009879296*z^21)/35 - 
           (27296531865225506269472894484480*z^22)/7 - 
           (216582208425474914663137189067489280*z^23)/7 + 
           (311522719752626633477603148522376396800*z^24)/7)*Cf[z]^19 + 
         ((1517403430773039394675*z^10)/1174136684544 + 
           (3449089630700819863703*z^11)/84934656 + 
           (394569607105756544803*z^12)/3072 - 1035135227045493470961*z^13 + 
           1070634391545279859799040*z^14 + 1046533581977424318273945600*
            z^15)*Cf[z]^17*tS0[z] + ((263631016260669725*z^4)/63700992 + 
           (19870294080870425*z^5)/576 - 35615638026068100*z^6)*Cf[z]^15*
          tS0[z]^2)*tS1[z] + 
       (((6350886371411154437411465*z^12)/3156079408054272 + 
           (4813651295655461217938527*z^13)/57076088832 + 
           (267467744259773223559145*z^14)/516096 - 
           (1474199438115974066947227*z^15)/448 - (14014101745048921248007872*
             z^16)/7 + 29431303900139253289035939840*z^17 - 
           33889441665135661870413879705600*z^18)*Cf[z]^18 + 
         ((49719764945450870995*z^6)/3057647616 + (48503245414184080855*z^7)/
            221184 - (1325077945893752385*z^8)/8 - 898752591156399552000*z^9)*
          Cf[z]^16*tS0[z] + (225562851661825*Cf[z]^14*tS0[z]^2)/41472)*
        tS1[z]^2 + (((19645465191230460838025*z^8)/782757789696 + 
           (14795047715159457970165*z^9)/28311552 + 
           (180182935648977468911*z^10)/768 - 7679990275432004309625*z^11 + 
           7450489014312502447948800*z^12)*Cf[z]^17 + 
         ((2612484995362022725*z^2)/63700992 + (90171461199568525*z^3)/768)*
          Cf[z]^15*tS0[z])*tS1[z]^3 + 
       ((2311601275832826506375*z^4)/24461180928 + 
         (598329335606283279775*z^5)/884736 - (11680942436574040175*z^6)/16)*
        Cf[z]^16*tS1[z]^4 + (3059803676170532375*Cf[z]^15*tS1[z]^5)/
        63700992) + S2[z]^19*(((28702750018853765265850067*z^22)/
          232691422597025366016 + (317197034459415060524927941*z^23)/
          18034739474595840 + (13744367600422875240084039679*z^24)/
          18264348426240 + (6543442318976469161753092333*z^25)/660602880 - 
         (199094991605769133050017571*z^26)/44800 - 
         (11168575113240196012113810732*z^27)/35 + 
         (243949649791739657862697161117696*z^28)/175 - 
         (43377379482634427332506005910061056*z^29)/35 - 
         (288031958861503612298088117721494454272*z^30)/35 + 
         (215015638099620352600329213812311465132032*z^31)/7 - 
         (301189928228949513516712655263353061716787200*z^32)/7 + 
         (192422400526565489264213832329123139933123379200*z^33)/7)*
        Cf[z]^20 + ((52331438628141681536267*z^16)/6312158816108544 + 
         (904035455934831301238827*z^17)/1369826131968 + 
         (3106448549965580157362267*z^18)/247726080 + 
         (89446468231392346779461*z^19)/4480 - (12597329785915324626759864*
           z^20)/35 + (4750027645982394852141133824*z^21)/5 - 
         1029956445729153565670516981760*z^22 - 
         (8020574182318714288669566393384960*z^23)/7 + 
         (52262273865563854899955192305392025600*z^24)/7)*Cf[z]^18*tS0[z] + 
       ((1817350484156758685*z^10)/12230590464 + (1214140824451269659*z^11)/
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          z^13 + 60921050991668130078720*z^14 + 801076848707235905903001600*
          z^15)*Cf[z]^16*tS0[z]^2 + ((1024524644744125*z^4)/10616832 + 
         (563744947663835*z^5)/384 + 5500568376576000*z^6)*Cf[z]^14*
        tS0[z]^3 + (((17985600545087826497081045*z^18)/1038800993736720384 + 
           (1091842867288573855954128809*z^19)/657516543344640 + 
           (197199724647396160253732419*z^20)/4756340736 + 
           (4195367403046682905195915*z^21)/24576 - 
           (247243584246218621924669253*z^22)/140 + 
           (9112737137868228231002889216*z^23)/7 + 
           (761259890802285236906807489593344*z^24)/35 - 
           (573574551788335674221340240396681216*z^25)/7 + 
           117517905156467328689448125123411312640*z^26 - 
           (465007398330535816733950552266642554880000*z^27)/7)*Cf[z]^19 + 
         ((59062536593125722916745*z^12)/98627481501696 + 
           (400283075851712463695743*z^13)/14269022208 + 
           (114174566376849329238919*z^14)/516096 - 
           (47853676195215755264595*z^15)/56 - (8213454374713688992569984*
             z^16)/7 + 8882946541429035468250152960*z^17 - 
           13254915276354117063759888384000*z^18)*Cf[z]^17*tS0[z] + 
         ((1481511061332363215*z^6)/382205952 + (150546602968170505*z^7)/
            2304 + (2666042935883735*z^8)/2 - 449607904044160320000*z^9)*
          Cf[z]^15*tS0[z]^2 + (343927301725*Cf[z]^13*tS0[z]^3)/1728)*tS1[z] + 
       (((1668175158674800234593347*z^14)/2104052938702848 + 
           (1031065519144794332515583*z^15)/21743271936 + 
           (285363561064545199023643153*z^16)/495452160 - 
           (22823984241334155433826687*z^17)/17920 - 
           (434954664574920297759078882*z^18)/35 + 
           (362590916885646271502886623232*z^19)/7 - 
           50867984207155023463484667985920*z^20 - 
           18046197757471443612722279114342400*z^21)*Cf[z]^18 + 
         ((563838462852759882685*z^8)/48922361856 + 
           (79815325306428123215*z^9)/294912 + (69824807673052760599*z^10)/
            192 - 3828993181372394352000*z^11 + 3632674495893612915916800*
            z^12)*Cf[z]^16*tS0[z] + ((2561816855432875*z^2)/165888 + 
           (17800323985997375*z^3)/288)*Cf[z]^14*tS0[z]^2)*tS1[z]^2 + 
       (((66311096259970307128805*z^10)/4696546738176 + 
           (119041099046870378355577*z^11)/254803968 + 
           (10969097973189274042475*z^12)/6144 - (25380925728147816561027*
             z^13)/2 + 4408285636355929494497280*z^14 + 
           28913617483849408946857574400*z^15)*Cf[z]^17 + 
         ((15073914622624748375*z^4)/254803968 + (13454530819606192795*z^5)/
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       (((13239573187512885881725*z^6)/146767085568 + 
           (3494107330360636701295*z^7)/2654208 - (9675959964586627375*z^8)/
            24 - 6494632519262338681200*z^9)*Cf[z]^16 + 
         (152135114253341575*Cf[z]^14*tS0[z])/3981312)*tS1[z]^4 + 
       ((17813682500775168805*z^2)/127401984 + (394634265372751775*z^3)/864)*
        Cf[z]^15*tS1[z]^5) + S2[z]^18*
      (((6335358618859248163272820421*z^24)/251306736404787395297280 + 
         (165779263603969469808725337703*z^25)/36358034780785213440 + 
         (57809169102491302391430331879*z^26)/219172181114880 + 
         (264628392805109084876489147131*z^27)/47563407360 + 
         (5992960944573472279560815779*z^28)/215040 - 
         (17413612844590954947176448363*z^29)/100 - 
         (19481847060918813130490332684032*z^30)/175 + 
         (591184402381914453786413734268239872*z^31)/175 - 
         (91129837578749356683226894274962391040*z^32)/7 + 
         (854662899225957191613217446155285855993856*z^33)/35 - 
         (203722303734257106269284595872504526451769344*z^34)/7 + 
         (411200758969943379404749210977605582952522055680*z^35)/7 - 
         (720629443526880311076210859330373644453630464491520*z^36)/7)*
        Cf[z]^20 + ((3176654078869011369626737*z^18)/1363426304279445504 + 
         (3398743270895901835043857*z^19)/13698261319680 + 
         (7951951132410682599158909*z^20)/1114767360 + 
         (1484579315294892539530889*z^21)/32256 - 
         (6952114417812804983545044*z^22)/35 - (4937880892795213634892661248*
           z^23)/35 + (76198497728130541781895648116736*z^24)/35 - 
         10582779674228237648735917169442816*z^25 + 
         (255430697968595827615797834310263767040*z^26)/7 - 
         (318830193908478440009912360203977542860800*z^27)/7)*Cf[z]^18*
        tS0[z] + ((1575051214893037910815*z^12)/24656870375424 + 
         (9341163224655188397881*z^13)/2675441664 + 
         (1139478679260070751615*z^14)/32256 - (822844735219911720585*z^15)/
          7 - (3902318497792820834408448*z^16)/7 + 
         3002245008300520632531025920*z^17 - 2158137603183227535273177907200*
          z^18)*Cf[z]^16*tS0[z]^2 + ((62880932158577635*z^6)/764411904 + 
         (1077402873012505*z^7)/576 + 16801182796211685*z^8 + 
         18072515251325952000*z^9)*Cf[z]^14*tS0[z]^3 + 
       (213236165575*Cf[z]^12*tS0[z]^4)/1024 + 
       (((7583782166557135520752452727*z^20)/1745185669477690245120 + 
           (2552588779648953621599662939*z^21)/4675673197117440 + 
           (18028866261291136266013113505*z^22)/913217421312 + 
           (2886777972273559318436577221*z^23)/14745600 - 
           (1085921949288401559098478429*z^24)/2240 - 
           (108255379959409632946598527128*z^25)/25 + 
           (876457483430910265617994762592256*z^26)/35 - 
           (1686734604601766454885553393587191808*z^27)/35 + 
           (100804473618470852190292307966315986944*z^28)/7 + 
           (419388793928297039810513532720171775426560*z^29)/7 - 
           (425333106193487216573207952377472631009443840*z^30)/7)*Cf[z]^19 + 
         ((523623437185802853264973*z^14)/2367059556040704 + 
           (5035469832836743552643449*z^15)/342456532992 + 
           (121396902358612185497249*z^16)/573440 - 
           (6040214208950720321753*z^17)/70 - (141918632715807457013790144*
             z^18)/35 + (105086444762274059913377366016*z^19)/7 - 
           25070419671073700494417330176000*z^20 + 
           5201894536377035370298309450137600*z^21)*Cf[z]^17*tS0[z] + 
         ((30934471216336851965*z^8)/12230590464 + (3016965624809689295*z^9)/
            41472 + (19968751796934617861*z^10)/96 - 1412033655375466741440*
            z^11 + 229954301479408619520000*z^12)*Cf[z]^15*tS0[z]^2 + 
         ((22455986958475*z^2)/41472 + (6087837607075*z^3)/3)*Cf[z]^13*
          tS0[z]^3)*tS1[z] + 
       (((4620273481907325115647210559*z^16)/18179017390392606720 + 
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           251223229641137518649030787072*z^17 - 
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           (2025229325302653522641*z^7)/995328 + (186302232135923901739*z^8)/
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           (143158382140191500268031*z^10)/13824 - 37370475888171154603043*
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         ((15706900993399967885*z^2)/95551488 + (8311345446622870885*z^3)/
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           (79783668766112545405231484647*z^21)/504000 + 
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           632281291327869920998517743900371474469355520*z^26 - 
           2190204765349751162624173682424618398745165299712*z^27)*Cf[z]^9*
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           (422650600089094790096599*z^13)/41287680 + 
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           (5741143138913896957968993715200*z^16)/7 - 
           10336496605995733656478732165054464*z^17 + 
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         ((-359963403521488459*z^6)/49152 + (34532366454870714927*z^7)/64 - 
           12389880501386746505280*z^8 + 86846029769719677961912320*z^9)*
          Cf[z]^5*tS0[z]^5 - (30684470111948835*Cf[z]^3*tS0[z]^6)/512)*
        tS1[z]^7 + (((10437422120216887894810274574755431199*z^32)/
            20801029621594419649249274127974400000 + 
           (290968422232511325791189541786015413711*z^33)/
            978057671732955206308740464640000 + 
           (9928273956384633713796954421505293747019*z^34)/
            70750699633460301382287360000 + 
           (7076860913566710459355532681773325935469*z^35)/
            319872593105560535040000 + 
           (10231826019401542785066629187978302894701*z^36)/
            4207078507806720000 + (469538051500775004926625249644701604385601*
             z^37)/4184557977600000 + 
           (685110049965498181413505353366963640619*z^38)/186278400 + 
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           (259491496171629591734098595222489288828562432*z^40)/398125 - 
           (5255473057430999819259442650911461471471647326208*z^41)/875875 + 
           (90662513916957829974931383559983380737619957737586688*z^42)/
            875875 - 
           (193057416254866829511436312513383566451399928109359693824*z^43)/
            175175 + 
           (1421169927546197355070509548956515156873576037694210775711744*
             z^44)/175175 - 
           (182775057422507928670710258404473231732857496386301725769728*
             z^45)/5 + 
           (2667363874202943072127354710846732983014770635580542274886434816*
             z^46)/35 - 
           192447738541174811801095120436835356782396039358331809924382720*
            z^47)*Cf[z]^14 + ((-3410513638301136011067237577322801*z^26)/
            6269600459826635937876541440000 + 
           (1073746769453511246513952744699967*z^27)/
            2799568678120461434880000 - (49037835983565665839517045168002951*
             z^28)/1640372272336207872000 + 
           (831016923058738814900243293665238589*z^29)/98884323901440000 - 
           (100365315350878773179566691522251841*z^30)/325140480000 + 
           (10004318171861311403699075901516982337*z^31)/388080000 - 
           (54808703753256451060294549053666168408*z^32)/67375 + 
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           (121918726479827067410741912815504906619191296*z^34)/275 + 
           (81607499763585555010598317355636244753648942317568*z^35)/13475 - 
           (1935476901476228556762444195224335844884417093828608*z^36)/35 + 
           (10619194371878016559765392487567917553466996071996588032*z^37)/
            35 - 756983449193907434951766245103563324965135680519077363712*
            z^38)*Cf[z]^12*tS0[z] + ((-266771752358004108439895149*z^20)/
            2908642782462817075200 - (14841393128850391190173046791*z^21)/
            236705955604070400 + (433817772378476932853572552451*z^22)/
            19025362944000 - (1467108847854075611545686837517*z^23)/
            516096000 + (47722653090226300233113976935171*z^24)/224000 - 
           (1729799268065563860427665656980656*z^25)/175 + 
           (52906357471801202169782110109950906368*z^26)/175 - 
           (30306245157011743376548223588341867610112*z^27)/5 + 
           (385148540612421702311219787973824267159601152*z^28)/5 - 
           564373533890366967347939785478302973031912308736*z^29 + 
           1820448314833426193312807643649856346826254915207168*z^30)*
          Cf[z]^10*tS0[z]^2 + ((592153707258484565911147*z^14)/
            164379135836160 - (36726802689886821513786863*z^15)/47563407360 + 
           (82828269406205574758950161*z^16)/1146880 - 
           (606232695728026535333412483*z^17)/160 + 
           (4175638279038140927930814925152*z^18)/35 - 
           (15667694938596529319344688138452992*z^19)/7 + 
           23069469781816199020985089280660471808*z^20 - 
           100612234321944399012226931606083728310272*z^21)*Cf[z]^8*
          tS0[z]^3 + ((-411988924164339370825*z^8)/1207959552 + 
           (1866529245723688776847*z^9)/65536 - (84139937628084449595729*
             z^10)/128 + 624039222359454477736896*z^11 + 
           82346162510717850093352058880*z^12)*Cf[z]^6*tS0[z]^4 + 
         ((-390218537163745485*z^2)/16384 + (9679410003954781755*z^3)/16)*
          Cf[z]^4*tS0[z]^5)*tS1[z]^8 + 
       (((797889003701177662315924330791373*z^28)/
            51589855212287747145955540992000 + 
           (878033634635885009414645355463582279*z^29)/
            65308338123194124352880640000 + 
           (14315921514850495187655812215519399*z^30)/
            4820685861559468032000 + (577967729695387471764653158742617573*
             z^31)/1294485694709760000 + 
           (220652551285972736759555740584678721*z^32)/10032906240000 + 
           (28804962242068122759828114853866613589*z^33)/27941760000 + 
           (564494713397594237395648889299419383*z^34)/288750 + 
           (2614632890756068267755769317459659595264*z^35)/6125 - 
           (109428668163602635735232303083227108438441984*z^36)/13475 + 
           (1998643118628614558065441923953552120465055547392*z^37)/13475 - 
           (25092078595983695057748899351428241968160394241376256*z^38)/
            13475 + (551701038857158483133419486315841290778094304443236352*
             z^39)/35 - 
           (2822446576875058102101955199975996835101272496940647448576*z^40)/
            35 + 188556870884611985687181170328729825486453271679022403682304*
            z^41)*Cf[z]^13 + ((-16816816374281662711163930821*z^22)/
            706800196138464549273600 + (105422185731569321959915256621*z^23)/
            12173449145352192000 - (509991212772435272640703252751*z^24)/
            1155790798848000 + (3505698303412309200787850867411*z^25)/
            66886041600 + (2285257896501466686565164253633*z^26)/4032000 - 
           (73358507110250482714882906164604*z^27)/875 + 
           (964251454962970857754187866303893504*z^28)/175 - 
           (30717076537234737048893073328404846084096*z^29)/175 + 
           (120995423739233713138672072296107418480279552*z^30)/35 - 
           (210609889642782974534753671886995724508202008576*z^31)/5 + 
           293221004988860976695417544133359599622256022519808*z^32 - 
           896141681486288278803785552017860762184271962683998208*z^33)*
          Cf[z]^11*tS0[z] + ((118946805875973572826577421*z^16)/
            946823822416281600 - (106888616792587695705663223*z^17)/
            3424565329920 + (17060756746042083125035027133*z^18)/4954521600 - 
           (558379994469268764017726121*z^19)/2560 + 
           (60530792632219667096302448358*z^20)/7 - 
           (7626795725815913877955825687289856*z^21)/35 + 
           (118890321488355741229486854211655172096*z^22)/35 - 
           29889095212627074668355950098347171250176*z^23 + 
           113637238896241558868250696179075224021499904*z^24)*Cf[z]^9*
          tS0[z]^2 + ((109643505748990261355*z^10)/32614907904 - 
           (3726590741911312775051*z^11)/2949120 + 
           (83212469303499192709083*z^12)/640 - 5589227898566003706000192*
            z^13 + 107645655375263395882057383936*z^14 - 
           769309380922301233124083425607680*z^15)*Cf[z]^7*tS0[z]^3 + 
         ((-1937918382479640775*z^4)/524288 + (94195723106369379375*z^5)/
            512 - 2206487605036892129100*z^6)*Cf[z]^5*tS0[z]^4)*tS1[z]^9 + 
       (((670842624217787801689202713598449*z^24)/
            6269600459826635937876541440000 + 
           (86603581341675556923710481366830117*z^25)/
            226765062927757376225280000 + (7491813608946552924188653300702997*
             z^26)/248541253384273920000 + 
           (1585148925493984078619047139464234373*z^27)/296652971704320000 + 
           (811974406718930719990518305075315629*z^28)/10729635840000 + 
           (17505584500082890373039922617940317*z^29)/3696000 - 
           (489773402364382708535594558115077304*z^30)/67375 - 
           (8090096077852829004628397227629775527936*z^31)/13475 + 
           (496242711769476637653907032210379967733694464*z^32)/13475 - 
           (28213439298799138740651694586158346552620351488*z^33)/35 + 
           (69410990629936123375545928846106890661265408000000*z^34)/7 - 
           67393260262915267165836838488745447992291121466179584*z^35 + 
           198396175600285493563767859500615212231181597032413396992*z^36)*
          Cf[z]^12 + ((9080998235934318034675273001*z^18)/
            4090278912838336512000 - (60630938628761469356113053401*z^19)/
            98627481501696000 + (593007494091965314613004537961*z^20)/
            7134511104000 - (2366499841703563773248740504159*z^21)/
            387072000 + (843468598772501062467165060537*z^22)/2800 - 
           (241226973072616047790799881411776*z^23)/25 + 
           (7158443295738302498674868005090197504*z^24)/35 - 
           (96174542071306854070291296541874583502848*z^25)/35 + 
           21241618599405052316339349948128804789551104*z^26 - 
           72043896492180219173004549318386532709715410944*z^27)*Cf[z]^10*
          tS0[z] + ((5697563018521377304250599*z^12)/5260132346757120 - 
           (42525709379065912627959767*z^13)/190253629440 + 
           (26831510520413890433564087*z^14)/1376256 - 
           (2010211282152394755263815869*z^15)/2240 + 
           (159092776237354297907585851872*z^16)/7 - 
           299016414869601895643938109128704*z^17 + 
           1597363808558277193738141748957282304*z^18)*Cf[z]^8*tS0[z]^2 + 
         ((-7751844229471499771*z^6)/28311552 + (40044294706923457417*z^7)/
            2048 - 433976356871199898857*z^8 + 2905287542881011409098240*z^9)*
          Cf[z]^6*tS0[z]^3 - (16228943669567745*Cf[z]^4*tS0[z]^4)/8192)*
        tS1[z]^10 + (((11237758715284360835450898739*z^20)/
            523555700843307073536000 - (2955858713861296862592312299*z^21)/
            1893647644832563200 + (248996847380395153560313871803*z^22)/
            228304355328000 - (2541591854863154483645834677*z^23)/55296000 + 
           (3806301042134667313263493769543*z^24)/896000 - 
           (26412380343118486330806596895954*z^25)/175 + 
           (740505042191620404473190019995368448*z^26)/175 - 
           (2726279664866501676245991847487160188928*z^27)/35 + 
           (6488172621215888743196832240422267350155264*z^28)/7 - 
           6432452301734309655181056696783048217668354048*z^29 + 
           19807367045550759333806588583894614521669987860480*z^30)*
          Cf[z]^11 + ((97978887152071983658439*z^14)/2254342434324480 - 
           (8309354339334430829986177*z^15)/856141332480 + 
           (2980358165037606340360157*z^16)/3096576 - 
           (5862152155743817015187293*z^17)/112 + 
           (59642245184482699522898644944*z^18)/35 - 
           (229059999349955335478339767074816*z^19)/7 + 
           343212270392251656789659192974639104*z^20 - 
           1516017289789162117516732452661798895616*z^21)*Cf[z]^9*tS0[z] + 
         ((-43396228062382463569*z^8)/4831838208 + 
           (194707584496080679443*z^9)/262144 - (9161755191792221604777*z^10)/
            512 + 60982091087169512609568*z^11 + 1542150315522391483177943040*
            z^12)*Cf[z]^7*tS0[z]^2 + ((-8607433084817355*z^2)/16384 + 
           (208352415307262535*z^3)/16)*Cf[z]^5*tS0[z]^3)*tS1[z]^11 + 
       (((92169132138907309531026707*z^16)/145432139123140853760 - 
           (118241229293794829574862247*z^17)/939309347635200 + 
           (1201158810513165592878730183*z^18)/67947724800 - 
           (8709213022510321619692469591*z^19)/8601600 + 
           (479053064678580986893262311239*z^20)/11200 - 
           (37699558406052810930300794654592*z^21)/35 + 
           (118409599131690694079526210733473792*z^22)/7 - 
           149342702230059633644739414694305988608*z^23 + 
           568442849902400427073731406622932057718784*z^24)*Cf[z]^10 + 
         ((-315882580002616999481*z^10)/6262062317568 - 
           (3662354590604306694251*z^11)/1132462080 + 
           (36701391264386479084493*z^12)/40960 - (377963634153460051561851*
             z^13)/8 + 986066200326175731295100928*z^14 - 
           7318013563328036066089670541312*z^15)*Cf[z]^8*tS0[z] + 
         ((-412764395892852565*z^4)/8388608 + (608539011134157441*z^5)/256 - 
           (220225409318003299875*z^6)/8)*Cf[z]^6*tS0[z]^2)*tS1[z]^12 + 
       (((80673147427017671336857*z^12)/31560794080542720 - 
           (588247942186892412774173*z^13)/1141521776640 + 
           (2300313112044291144753583*z^14)/41287680 - 
           (2328875674077670148367999*z^15)/896 + 
           (483276900918637463321507328*z^16)/7 - 
           925654020079895157737561702400*z^17 + 
           5005787782826366893127495942406144*z^18)*Cf[z]^9 + 
         ((-2519290837875622037*z^6)/1358954496 + (12510255142939759303*z^7)/
            98304 - 2682342110104881525*z^8 + 16475167177507408753440*z^9)*
          Cf[z]^7*tS0[z] - (603330963882075*Cf[z]^5*tS0[z]^2)/32768)*
        tS1[z]^13 + (((-7357208450278678729*z^8)/347892350976 + 
           (7086513151436575609*z^9)/4194304 - (145211556504549367701*z^10)/
            4096 + (807273001969265655*z^11)/4 + 4740721517677225053150720*
            z^12)*Cf[z]^8 + ((-1278322419443655*z^2)/524288 + 
           (30129031683341145*z^3)/512)*Cf[z]^6*tS0[z])*tS1[z]^14 + 
       ((-7670846813410795*z^4)/100663296 + (58151838912422301*z^5)/16384 - 
         (1262307845350997181*z^6)/32)*Cf[z]^7*tS1[z]^15 - 
       (5595364589407*Cf[z]^6*tS1[z]^16)/262144)
 
Ff[13] = 83244259421107872349710451839466704485367293766569871427/
      624599797483470833017083085015161947293297995098734140063744000000 + 
     (94178133394703158923091647001173637128033467534369*z)/
      8185195111781427608269527646405248109951842771586252800000 + 
     (405098585456524844864752041658634514529908105547*z^2)/
      972736274238244228413313987409684536876304066150400000 + 
     (35115844355145254006939134267297997216178787*z^3)/
      1894462784807834089791777374874185295955230720000 + 
     (6092688634485290357793519753893110999*z^4)/
      27990518538018949381388928114417991680000 + 
     (29931783525151642000961*z^5)/2156704759440948068352 + 
     (3976697001054617*z^6)/6442450944 + 
     ((-1300652155645955026420379521006800478573683329432775893*z^72)/
        163735089311506978050430228238214613511254309627162562412870107136000\
000 + (3397176165892442471153665331745071507520522560282534573*z^73)/
        644585732046433996482230364379466700960783216912173100957696000000 - 
       (435007596456495058360570573618531391564381005231689072731*z^74)/
        259633286562526845831601232495806604020990977719056465920000000 + 
       (1016969702907796318324690657664204380332354291329124633011*z^75)/
        2994127155658501182723192554697850245981469692395520000000 - 
       (4846121089267819527732362457029070453566290707792709021333*z^76)/
        98320033494588254983657467502242318361621954560000000 + 
       (134009434671815960188407216762774965211632293997944947343321*z^77)/
        24569663252277683668580227832262784733675520000000 - 
       (6943543308559583327670434266687365522721876582984220737374751*z^78)/
        14662884970434815557420925898160299048960000000 + 
       (389061915921679305849379193695397131196279271370741624611533*z^79)/
        10713972019409090585704356863016960000000 - 
       (7518050887499551431121903627640169800737056732610442482081*z^80)/
        8413121074725591394453291008000000 + 
       (334075661771033837171456666025293538576251694012532505935973*z^81)/
        792903275891796808008990720000 + 
       (5307253527056185333745128383078886209377820885621556555556491*z^82)/
        92939595979793891328000000 + 
       (463981195320382251979719182460708504864438506959072590501525431*z^83)/
        60507549466011648000000 + 
       (4992978178566627583878787875839978523775746784428204106384651489*
         z^84)/8206861635472500000 + 
       (957132511237622302602539152036863014506930098012906748271220317592*
         z^85)/28496047345390625 + (35277092645273483461893822131859420502391\
939003563399632315581351804928*z^86)/28496047345390625 + 
       (893509080473003411321953744882517613611924563445134424759008486930841\
075712*z^87)/28496047345390625 + (1532716186735105984637799206835317639358172\
1889956266958444014054402066571329536*z^88)/28496047345390625 + 
       (716171046189007141729681283266108144417888110071275631291249601681331\
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           (257710366594795623719584485723292205325356834298085697912832*
             z^43)/175175 - 
           (2780450739186159133373670799487981812913207644425088545155186688*
             z^44)/175175 + 
           (4084675726018050255240262749019082302444704412508734301921083392*
             z^45)/35 - (1833901299795681000307716454183702871890427381548731\
1749932214386688*z^46)/35 + 
           108509202639687152465940608387320626423980535898184241284094480718\
2336*z^47)*Cf[z]^15 + ((55588906592206954698658004224944533*z^26)/
            27864890932562826390562406400 + 
           (652992461389693618733623392630682901251*z^27)/
            453530125855514752450560000 + 
           (73635432762724290255476660342893812767*z^28)/
            298249504061128704000 + (1968058711140434347695805514254487936477*
             z^29)/74163242926080000 + 
           (21067744982346648523736084497531303990771*z^30)/21459271680000 + 
           (2666933268788366921611673082151233837299*z^31)/97020000 + 
           (1010910044856452990155344589260226608804*z^32)/9625 + 
           (106972121607639362560069549324534934027771904*z^33)/67375 + 
           (453151363116407867222659221117571650477405241344*z^34)/13475 - 
           (19402756602076290551999029513501129274970898597675008*z^35)/
            13475 + (965156530244142713201045252853495884504304972868878336*
             z^36)/35 - 
           (1528050740864063176924212656320864364110174722328281219072*z^37)/
            5 + 1900321680356820968356044777550533789622936663288985105203200*
            z^38 - 
           5170784753995415613395945837680658807597426863317827553910063104*
            z^39)*Cf[z]^13*tS0[z] + ((196765084323598730627116915100221*z^20)/
            174518566947769024512000 - (2131123367659057820916836869016827*
             z^21)/9468238224162816000 + (12166083009982604823367578828227179*
             z^22)/228304355328000 - (145877145359487744294553739912173*z^23)/
            43008000 + (29113545245805536622797914230652223*z^24)/128000 - 
           (210476816791501828172248079212575006*z^25)/25 + 
           (39696725960015141435193706339608434666496*z^26)/175 - 
           (20540249891118591565191263426451408030793728*z^27)/5 + 
           (337921604562084851542918179354813714602253090816*z^28)/7 - 
           332238567418595577296340521030304608172198158401536*z^29 + 
           1017609210402119390527108929552165956344211874741485568*z^30)*
          Cf[z]^11*tS0[z]^2 + ((72930310778804652377925253*z^14)/
            146114787409920 - (4007433065593845964685398103*z^15)/
            35672555520 + (8286315802997506145013661387*z^16)/737280 - 
           (49606845351542356796114009757*z^17)/80 + 
           (717321761889949678794149025045504*z^18)/35 - 
           (2801340645032082631173878901216706560*z^19)/7 + 
           4270376367295475821800704055436678004736*z^20 - 
           19193736385886905170589455999697479914225664*z^21)*Cf[z]^9*
          tS0[z]^3 + ((-233000794513459308609341*z^8)/2415919104 + 
           (1236713616445219772736083*z^9)/131072 - 
           (82737514936905819632149761*z^10)/256 + 
           4458643641697894954204032576*z^11 - 
           19322468200153492182004743290880*z^12)*Cf[z]^7*tS0[z]^4 + 
         ((-36014041291611480525*z^2)/16384 + (906814335417999997905*z^3)/16)*
          Cf[z]^5*tS0[z]^5)*tS1[z]^11 + 
       (((10167175744623508133387973184160774235023*z^28)/
            57780637837762276803470205911040000 + 
           (114443630369999443192014736652735507170139*z^29)/
            1044933409971105989646090240000 + 
           (915966233389750681893729998218772831627431*z^30)/
            37794177154626229370880000 + 
           (3584228035279657805465069047844284384816471*z^31)/
            1366976893613506560000 + 
           (3387244388355541066655288664988737971844791*z^32)/
            24721080975360000 + (6785805881304657146684057315957446139667821*
             z^33)/1788272640000 + 
           (2848915466518447751183082837831369328663093*z^34)/64680000 + 
           (22623737912812495815723228428306773976218896*z^35)/67375 - 
           (7511419679945744667732098198342218432088334336*z^36)/9625 + 
           (93538323744679019979857500388239684695199995396096*z^37)/13475 + 
           (2295577727915344240202824539991608011318556858299449344*z^38)/
            13475 - (23983996440164667859170385995400079780599586139345518592*
             z^39)/5 + 
           (2005951471416162548951800449074744060307056094507374877868032*
             z^40)/35 - 
           358004309585807626612680805125596170899999187768710495788335104*
            z^41 + 9540338729106509408086855310745009855725722025947467069404\
98280448*z^42)*Cf[z]^14 + ((137941923763180158127323146392487*z^22)/
            2513067364047873952972800 + (40869803656751930413858141685970173*
             z^23)/2726852608558891008000 + 
           (1902729779510977489865393718865954481*z^24)/591764889010176000 + 
           (603692012147644442194002869772847927*z^25)/7134511104000 + 
           (1080251202541311401756876831261775833*z^26)/129024000 - 
           (608476739834404092034248659058371611*z^27)/3500 + 
           (1270773249091917537532623845903718325344*z^28)/175 - 
           (5831360272345210395019157622928017580720128*z^29)/35 + 
           (94018042789779166247450622540895428195158851584*z^30)/35 - 
           (142167165998994487717932178893605668055027332153344*z^31)/5 + 
           178081821989348543327217837421669638169555668786216960*z^32 - 
           500698627359984092906733067097559446318851329403593424896*z^33)*
          Cf[z]^12*tS0[z] + ((389866848077238495996003028147*z^16)/
            16159126569237872640 - (11479284379680954837491736645199*z^17)/
            2191721811148800 + (106302777441430530787982874594283*z^18)/
            158544691200 - (115213885243029139114321009288461*z^19)/2867200 + 
           (3724501086969812681136665124995379*z^20)/2240 - 
           (1477781619480417271401775525931842176*z^21)/35 + 
           (23333839177013791479778656355362283585536*z^22)/35 - 
           5934345804709074072833619969670923807621120*z^23 + 
           22805873241290343886588403311877919806834343936*z^24)*Cf[z]^10*
          tS0[z]^2 + ((-1531416226950268506119051*z^10)/521838526464 + 
           (28724203044236748081574339*z^11)/94371840 - 
           (94887982893612810598457001*z^12)/10240 + 
           (14049246098495548228590027*z^13)/2 + 
           3763995121144307687070039211008*z^14 - 
           43442485642664822617214060923453440*z^15)*Cf[z]^8*tS0[z]^3 + 
         ((-749199453873072653715*z^4)/2097152 + (37288811509445585543535*
             z^5)/2048 - 226222809944162250151125*z^6)*Cf[z]^6*tS0[z]^4)*
        tS1[z]^12 + (((100789848051860247595244032076357026277*z^24)/
            25078401839306543751506165760000 + 
           (1618115487593358387280208594417654071501*z^25)/
            907060251711029504901120000 + 
           (70922429338226613489633117023819024839*z^26)/
            248541253384273920000 + 
           (22811327548467680110006584013985309403049*z^27)/
            1186611886817280000 + (14224503747342615437924744955054818908141*
             z^28)/21459271680000 + (104483682756329686534028731249549201927*
             z^29)/14784000 + (8992338044792839174782889199024868824616*z^30)/
            67375 - (31738071899179901408881536987550113199122432*z^31)/
            13475 + (692362139316962949664267267187736497541473107968*z^32)/
            13475 - (5272016584373552922864254762164297048909802373120*z^33)/
            7 + (255758243483685911710534252518616647189230618079657984*z^34)/
            35 - 42245219385561137774511235316977167551707185322943053824*
            z^35 + 
           110319423124205453232624677372470005658370916958014718083072*z^36)*
          Cf[z]^13 + ((1560430831072358332582511123567*z^18)/
            1570667102529921220608 + (421037456119950193783625911789*z^19)/
            47341191120814080 + (263611894266763947012041601040819*z^20)/
            8561413324800 - (401695163731318549114058634798353*z^21)/
            464486400 + (222074810770462980352417260055023*z^22)/3200 - 
           (349736929219175819860220984956720944*z^23)/175 + 
           (1488766083697052885519907686407376142336*z^24)/35 - 
           (19894180997690815144321896861930613880389632*z^25)/35 + 
           4377867798455210652521386954687233759205392384*z^26 - 
           14809949708181742815060983560210091405701678104576*z^27)*Cf[z]^11*
          tS0[z] + ((13162083014875031603199545*z^12)/1052026469351424 - 
           (137091928006810768727759189*z^13)/25367150592 + 
           (13366788289557485976558222671*z^14)/13762560 - 
           (245803030679862621123682925637*z^15)/4480 + 
           (11558919327521861402637727861656*z^16)/7 - 
           24103915453251519039137762006630400*z^17 + 
           138811433258879867602632026442719821824*z^18)*Cf[z]^9*tS0[z]^2 + 
         ((-1094699064087087204379*z^6)/37748736 + 
           (17764239000398148276279*z^7)/8192 - 52027202316181779795591*z^8 + 
           397260063828123372653362560*z^9)*Cf[z]^7*tS0[z]^3 - 
         (1819645280591369715*Cf[z]^5*tS0[z]^4)/16384)*tS1[z]^13 + 
       (((119478149450235765906838628664643*z^20)/2010453891238299162378240 + 
           (17964627367391323715101665663907133*z^21)/
            1090741043423556403200 + (965867691555496693885294484301289*z^22)/
            469654673817600 + (1667640867911157836169067269687763*z^23)/
            26424115200 + (119534233691494869320434971740509237*z^24)/
            51609600 - (150846535071136917527156815753153557*z^25)/5600 + 
           (168395148252369007153172213796468189504*z^26)/175 - 
           (597291091455622831538208933697341890494464*z^27)/35 + 
           (6959063276671533825439387893953722707810975744*z^28)/35 - 
           1356597389739003708168271309798041146997073772544*z^29 + 
           4118191259717033191076382777036263872332643549839360*z^30)*
          Cf[z]^12 + ((1783040082922661744657109757*z^14)/
            315607940805427200 - (5675340360763370458426057081*z^15)/
            45660871065600 + (346382610813894320299702128089*z^16)/
            3303014400 - (338021313657858025641178726887*z^17)/89600 + 
           (5336955919129285032025945373802*z^18)/35 - 
           (20957539626983750732245709163786240*z^19)/7 + 
           32546806085372876004466776129497726976*z^20 - 
           148053953706844344843479257619754381213696*z^21)*Cf[z]^10*tS0[z] + 
         ((-34190945826018087445633*z^8)/28991029248 + 
           (710485770329550349668325*z^9)/6291456 - 
           (3800261101882622391029925*z^10)/1024 + 
           (97894522077883556373207279*z^11)/2 - 
           191075789660174114707053573120*z^12)*Cf[z]^8*tS0[z]^2 + 
         ((-3956985750946299795*z^2)/131072 + (97789492884660924285*z^3)/128)*
          Cf[z]^6*tS0[z]^3)*tS1[z]^14 + 
       (((1413892509577773633296385809911*z^16)/2908642782462817075200 + 
           (2189338511159818148583335582731*z^17)/26300661733785600 + 
           (2140169690856058982768843336051*z^18)/271790899200 + 
           (607325421191086922192235474927*z^19)/11468800 + 
           (238800012427064305293059607086511*z^20)/44800 - 
           (3642803185328910614184198109595424*z^21)/35 + 
           (59164615857478225999629946329204129792*z^22)/35 - 
           15146919101619481497017593440294225838080*z^23 + 
           58396692810456979692577700896496422540541952*z^24)*Cf[z]^11 + 
         ((-42049561774849354975601*z^10)/3131031158784 + 
           (813881640076789934897183*z^11)/283115520 - 
           (309131511129604957391359*z^12)/8192 + (14155135588121250090946779*
             z^13)/40 + 22728081243474323212745056896*z^14 - 
           261582127495494387394460600107008*z^15)*Cf[z]^9*tS0[z] + 
         ((-49579821990926775385*z^4)/16777216 + (602602811247070325097*z^5)/
            4096 - (28568949460301900750715*z^6)/16)*Cf[z]^7*tS0[z]^2)*
        tS1[z]^15 + (((15148222028086725597606043*z^12)/9017369737297920 + 
           (62608432520259155173702427*z^13)/260919263232 + 
           (513009500152360623632273737*z^14)/47185920 + 
           (85929127309892542663965429*z^15)/5120 + 
           (16590338839940929841035934451*z^16)/5 - 
           45020885409182870888164549023744*z^17 + 
           260819150158058418298349928377745408*z^18)*Cf[z]^10 + 
         ((-6387175811841825856421*z^6)/54358179840 + 
           (8845198750833619118719*z^7)/983040 - (51402161444429957039757*
             z^8)/256 + 1503321283249827878085444*z^9)*Cf[z]^8*tS0[z] - 
         (181663243193893935*Cf[z]^6*tS0[z]^2)/262144)*tS1[z]^16 + 
       (((3300446181999284539393*z^8)/3478923509760 + 
           (2342113314935926606711*z^9)/6291456 - (17962676018952986807361*
             z^10)/40960 + (317411587366800085799361*z^11)/4 - 
           166070749916508703944867072*z^12)*Cf[z]^9 + 
         ((-12451986507865323*z^2)/131072 + (1187169987300173343*z^3)/512)*
          Cf[z]^7*tS0[z])*tS1[z]^17 + ((-951721795598313473*z^4)/402653184 + 
         (23399337331205126325*z^5)/131072 - (49711878591862864797*z^6)/32)*
        Cf[z]^8*tS1[z]^18 - (663977031544427*Cf[z]^7*tS1[z]^19)/1048576)
 
Ff[15] = 
    3801909887896954614324718185171546850473736314264265113982327623239101/68\
85547208101846881512846001270362591086905923257552490177960261462261760000000 \
+ (3267973596440167745040970588886100619215026104104936368734983884959*z)/
      62260807364925554122475821047366559887576912645196329663790873313280000\
000 + (704124822252448056398413199143707834073010883451134666691734809*z^2)/
      450381997720815640353557733270880786223791324111663264350339072000000 - 
     (5287910016417863645352541049463650853087266821831305167*z^3)/
      431748161546695353714767916185513559105801665785941196800000 + 
     (30775399788323800602958548731355249671189683964591831*z^4)/
      37196185430962583772426123662659733970432352793395200000 + 
     (72330755810832988807995461435092715200439*z^5)/
      398990067222716069589685058453341470720000 + 
     (818367647730572346617737661*z^6)/627405020928275801702400 + 
     (24365473407461077875229*z^7)/61572651155456 + 
     ((-172813761507335664605529258656144991117479809279661913381623366122393*
         z^84)/84014772937106643730958126645853925519261596688124641279311649\
269795521015316480000000 + 
       (887001647193788927030245999144923588448964425988955105293720183994218\
09*z^85)/55710027386439831756398256239414133675243390936618143209420099221628\
492185600000000 - 
       (399098062909045287172835127956710591398378670020894246853874325776770\
217*z^86)/6716583162909894839457737297383069742867885674264340182462878474829\
82400000000 + 
       (565913180806295086033835047247679557267450520267757023904061582591672\
099*z^87)/
        397525045153284495706542216937918427016328460834773921784024530944000\
0000 - 
       (324171259622346271845647465064819195978206840637705672322234716306025\
68731*z^88)/
        131799029968597169559340168858419617367730428638072468762787840000000\
0 + 
       (
         7408411471134751579287769573319122461821701801489866229008878985887742611\
*z^89)/2270017463910197061689473256627873149659157790420946124800000000 - 
       (115627918828246743593200182610688181912815058736584925802232180261690\
3113*z^90)/3343610753544195804006223570400689853263983830630400000000 + 
       (562252915354194190015938263455985337289352932769278517119002851441661\
1302671*z^91)/187086437924365990624914202235599942238114257305600000000 - 
       (130633471663159687366075371275147675187121952269914503639330762427887\
030821*z^92)/60148674744202028878894740945087429989105664000000 + 
       (619291564973644193873226959421863751719548434623062455833755445339421\
0812611*z^93)/44499197105973328656852761707717381324800000000 - 
       (845038803512892880150488704819570002618013209110741570494718898666507\
51047811*z^94)/17704396996734180238186500968782233600000000 + 
       (613755770986962176668894619047016668468039523517582923461738235475431\
150653151*z^95)/640350007115674921809407587123200000000 + 
       (440510538530012312164860571543305805676738138505159928867601955064699\
4784251*z^96)/40490922288519897101107200000000 + 
       (265482289564430230473731269348529074752834830587735974913193096447032\
6556239*z^97)/165553916865048391680000000 + (14913830327400831247697852052998\
94691338432162178871727604643007179365615722209*z^98)/
        1082102062842500700000000 + (8603656944255898620414044097749345302399\
54583617979781790346861655481480938908052*z^99)/9862909426949876171875 + 
       (164721330522703804003470873237379400267110199890278712683151923121939\
9444818912513024*z^100)/428822148997820703125 + 
       (120004898139299415953963617265595511201354238026061756397680471538812\
3412383894281506521088*z^101)/9862909426949876171875 + 
       (415981397722033785800875493975324748953463612347154957135806207555593\
502610037528284673081344*z^102)/151737068106921171875 + 
       (436642527600391390445242230230374402446722632937596252171973360961487\
646337791646614157064339980288*z^103)/9862909426949876171875 + 
       (499250741284083223345298791660201592413902021135244368250898183989760\
3989358113349492498090664621244416*z^104)/9862909426949876171875 + 
       (403083763142783065222479425267330663071891911210898674912264155828557\
80986236270624274060181887743382519808*z^105)/9862909426949876171875 + 
       (449085755402739641706302387070153994414695143259187324470194695005678\
40390057463620168026272328755412323008512*z^106)/1972581885389975234375 + 
       (171188117344764229222559436755008530151462875311561513007893802257203\
058432518423538611420689746725600174566014976*z^107)/1972581885389975234375 + 
       (211709608421950016730640221797726238890320573121872601933735654161325\
8579958176120396282839915091481476026030423539712*z^108)/
        9862909426949876171875 + (3449933120884147748314550794916705480218264\
36188892813467231604486894320225849968172682753165754720786989786673835304550\
4*z^109)/9862909426949876171875 + (130780022115416236770960393053716754593122\
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32*z^44 + 
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       ((632762052723030045*z^2)/16777216 + (4073326268115552489*z^3)/16384)*
        Cf[z]^8*tS1[z]^20)
 
Ff[16] = 
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87/10153152491178659337603582199633225862313107998198656599916813083141792700\
8256000000 + 
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61*z)/49286022121150061888723529272251016441464168713843533613905399766256189\
440000000 + 
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0 + (1563680837972414078524043278527612298743297448109064494343752470721*z^3)/
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00000000 + (10793029643283122221663360687198356248068013043706660568875681555\
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616000000 + 
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53*z)/
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9200000 + 
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504000000 - (1452632871285097567072715059358064885454634299968560677570693*
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5029146214400*z^41 + 
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112*z^42)*Cf[z]^15 + ((5377838151957367879323306201549690643*z^22)/
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             z^29)/630784000 + 
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            z^35 + 
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           (11317782793132214137862044008771695083241472*z^27)/5 + 
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           178438777624792183227054827445766084074982789349376*z^29 + 
           541845511827892882949174538873555658564018124724633600*z^30)*
          Cf[z]^13 + ((11419914820828930872342402103727*z^14)/
            360694789491916800 + (4521226208941286636260689106958147*z^15)/
            876688724459520 + (4824107632501546666996596769342757*z^16)/
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           (1354203284119785685778430597993794592*z^19)/7 + 
           2135268894701132963212891140219787149312*z^20 - 
           10246708836751644342254539386080145237344256*z^21)*Cf[z]^11*
          tS0[z] + ((97599071488568272622744927*z^8)/1546188226560 + 
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           (225525974170336059042992873205*z^11)/32 - 
           29841031477770960863862291207744*z^12)*Cf[z]^9*tS0[z]^2 + 
         ((-202808166945405720615*z^2)/131072 + (9946561171847604500385*z^3)/
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       (((98757365604716831166873756330119053*z^16)/31025523012936715468800 + 
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           1108062629910578898144412733115490633777152*z^23 + 
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         ((17950172663752240422945965017*z^10)/222651104624640 + 
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           (105683756743970634775958336835*z^12)/524288 + 
           (4174310911918876795772259051573*z^13)/2560 - 
           826656094883808306281154257784*z^14 - 
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         ((-526832727102794654396827*z^4)/4831838208 + 
           (2540247672982279387509207*z^5)/262144 - 
           (43070433129021301045237503*z^6)/512)*Cf[z]^8*tS0[z]^2)*
        tS1[z]^18 + (((162955997475610809776704815781321*z^12)/
            13465938807698227200 + (356337563063737518715888962469187*z^13)/
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           (675266814374874840835352302459689*z^16)/1120 - 
           2783493387825226732641045885801984*z^17 + 
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           (374288878862775054144587817*z^9)/2)*Cf[z]^9*tS0[z] - 
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       (((461935896009170457652203559*z^8)/22265110462464 + 
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           52859832760219372295957017686*z^12)*Cf[z]^10 + 
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             z^3)/65536)*Cf[z]^8*tS0[z])*tS1[z]^20 + 
       ((106814483639734644474197*z^4)/9663676416 + 
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       (17804278015178053949*Cf[z]^8*tS1[z]^22)/33554432)
 
Ff[17] = 30068684899380109311816308515090070153579929547343778203109877415493\
88180201231/73462809748981353867350450910449665746628044471695501546590221953\
2939168422297600000000 + 
     (64262574251419965371972127925596693700255395418921220351458167296958583\
049*z)/1547825488102233348571482737475651756012924306715747336635045612493996\
03200000000 + 
     (37080258830212408315694514909433845185868046749889959083241676937010264\
533*z^2)/24386313028694041038691329587832534176766125144870498402713609259345\
51040000000 + 
     (1660100521562889724609785810394776913176589772316352972335297649499*
       z^3)/19091517409879769482000161576573440080966946518187907725188399104\
000000 + (76296838643982936040866035460861838451906455288345497029314330201*
       z^4)/
      59816359072295827234456886450038854420347285233580277296529408000000 - 
     (115396775777790886934786714531857325031036244568777698763*z^5)/
      385650050548220068552514050134456121805442633761921433600000 + 
     (82550599100104682707937183565625838458780017779*z^6)/
      312808212702609398558313085827419713044480000 - 
     (5973628258537516495534501866083*z^7)/2523960769905749510848512 + 
     z^8*a[8, 0] + ((-1589568326607634395699377197540617109752273333209757807\
00126967353172594591811*z^96)/16679852647099325908160646274151211464658195644\
8750658054748052060843901821779800563384320000000 + 
       (610324253112690776878585385320387818625104503453865490421048945270204\
6074083756839*z^97)/723951937808130464763916938982257442042456408197702508918\
1773092918572127681414955008000000000 - (157647854575129698070299624562599339\
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