Ff[2] = -3337/5184 + 468864*z + ((-71*z^6)/5184 + (16668*z^7)/5)*Cf[z]^2 + 
     ((-11*z^2)/24 + 116640*z^3)*Cf[z]^2*S2[z]^2 + (5*Cf[z]^2*S2[z]^3)/24 + 
     30*tS0[z] + ((55*z^2)/12 - 933120*z^3)*Cf[z]*tS1[z] + 
     S2[z]*(((221*z^4)/288 - 305856*z^5 + 31926140928*z^6)*Cf[z]^2 - 
       (5*Cf[z]*tS1[z])/2)
 
Ff[3] = -1205849/15676416 + (493156*z)/3 - 62959472640*z^2 + 
     ((-107665*z^12)/15676416 + (424765*z^13)/84 - (8974732608*z^14)/7 + 
       (799694685093888*z^15)/7)*Cf[z]^4 + ((-55*z^2)/96 + 213840*z^3)*
      Cf[z]^4*S2[z]^5 + (5*Cf[z]^4*S2[z]^6)/16 + 
     (3337/288 - 8439552*z + ((71*z^6)/288 - (300024*z^7)/5)*Cf[z]^2)*
      tS0[z] - 270*tS0[z]^2 + 
     (-240192 + ((5063*z^8)/5184 - (7172202*z^9)/5 + (3047357541888*z^10)/5 - 
         102948360685092864*z^11 + 6095079362992665526272*z^12)*Cf[z]^3 + 
       ((-165*z^2)/2 + 16796160*z^3)*Cf[z]*tS0[z])*tS1[z] + 
     ((-373*z^4)/288 + 606528*z^5 - 52242776064*z^6)*Cf[z]^2*tS1[z]^2 - 
     10*Cf[z]*tS1[z]^3 + S2[z]^4*(((563*z^4)/864 - 373464*z^5 + 
         63932903424*z^6)*Cf[z]^4 - (5*Cf[z]^3*tS1[z])/3) + 
     S2[z]^3*(((-4081*z^6)/10368 + 292680*z^7 - 80393140224*z^8 + 
         8959845066080256*z^9)*Cf[z]^4 - (15*Cf[z]^2*tS0[z])/4 + 
       ((275*z^2)/144 - 738720*z^3)*Cf[z]^3*tS1[z]) + 
     S2[z]^2*(((875*z^8)/10368 - (81486*z^9)/5 - (30911652864*z^10)/5 + 
         1253199712223232*z^11 + 76750077973801992192*z^12)*Cf[z]^4 + 
       ((33*z^2)/4 - 2099520*z^3)*Cf[z]^2*tS0[z] + 
       ((-175*z^4)/144 + 681696*z^5 - 121899810816*z^6)*Cf[z]^3*tS1[z] + 
       (35*Cf[z]^2*tS1[z]^2)/8) + 
     S2[z]*(((7385*z^10)/62208 - 250327*z^11 + 147909597696*z^12 - 
         (191018501174919168*z^13)/5 + 4582001754482549981184*z^14 - 
         206156130613871471285501952*z^15)*Cf[z]^4 + 
       ((-221*z^4)/16 + 5505408*z^5 - 574670536704*z^6)*Cf[z]^2*tS0[z] + 
       (((-529*z^6)/576 + (4266468*z^7)/5 - 215078188032*z^8 + 
           14704878664286208*z^9)*Cf[z]^3 + 45*Cf[z]*tS0[z])*tS1[z] + 
       ((11*z^2)/24 + 466560*z^3)*Cf[z]^2*tS1[z]^2)
 
Ff[4] = -129251263/6348948480 + (760676839*z)/15120 - (246465695808*z^2)/5 + 
     (64681264780148736*z^3)/5 + ((44511227*z^18)/5079158784 - 
       (2522370883*z^19)/302400 + (534757001616*z^20)/175 - 
       (12862939176880128*z^21)/25 + (5948366080293570871296*z^22)/175 + 
       (1030929276787423942017024*z^23)/175)*Cf[z]^6 + 
     ((-55*z^2)/32 + 828630*z^3)*Cf[z]^6*S2[z]^8 + (1105*Cf[z]^6*S2[z]^9)/
      1152 + (25605757/6718464 - (63155648*z)/9 + 2642199035904*z^2 + 
       ((1770875*z^12)/6718464 - (3552274*z^13)/15 + (1912152401856*z^14)/
          25 - 10253014371827712*z^15 + (2177485914402472329216*z^16)/5)*
        Cf[z]^4)*tS0[z] + (-103447/432 + 174417408*z + 
       ((-2201*z^6)/432 + (6200496*z^7)/5)*Cf[z]^2)*tS0[z]^2 + 
     3720*tS0[z]^3 + (-1055669/9 + 91620605952*z + 
       ((27409*z^14)/217728 - (223741919*z^15)/360 + (18938954733408*z^16)/
          25 - (72253095665272528896*z^17)/175 + 
         (4191973732537430873997312*z^18)/35 - 
         (135096708245885267537817501696*z^19)/7 + 
         1635714828404141759262527273828352*z^20 - 
         57010984550707479705298022130190909440*z^21)*Cf[z]^5 + 
       (6725376 + ((-7409*z^8)/144 + (355977216*z^9)/5 - 
           (148112543084544*z^10)/5 + 4955062640440246272*z^11 - 
           292563809423647945261056*z^12)*Cf[z]^3)*tS0[z] + 
       (1705*z^2 - 347120640*z^3)*Cf[z]*tS0[z]^2)*tS1[z] + 
     (((50125*z^10)/62208 + (2432845*z^11)/4 - 772645241664*z^12 + 
         (1240303896408489984*z^13)/5 - 32433589776600470126592*z^14 + 
         1518436361768673359771467776*z^15)*Cf[z]^4 + 
       ((2887*z^4)/24 - 51197184*z^5 + 4945649467392*z^6)*Cf[z]^2*tS0[z])*
      tS1[z]^2 + (((-35917*z^6)/2592 + (54533412*z^7)/5 - 2690724676608*z^8 + 
         212689118142922752*z^9)*Cf[z]^3 + 280*Cf[z]*tS0[z])*tS1[z]^3 + 
     ((253*z^2)/6 - 8398080*z^3)*Cf[z]^2*tS1[z]^4 + 
     S2[z]^7*(((10025*z^4)/6912 - 1238598*z^5 + 309868996608*z^6)*Cf[z]^6 - 
       (95*Cf[z]^5*tS1[z])/96) + 
     S2[z]^6*(((-2387*z^6)/5184 + 640395*z^7 - 319368904704*z^8 + 
         61221219558359040*z^9)*Cf[z]^6 - (1235*Cf[z]^4*tS0[z])/144 + 
       ((-55*z^2)/144 - 366120*z^3)*Cf[z]^5*tS1[z]) + 
     S2[z]^5*(((-166177*z^8)/497664 + (598479*z^9)/2 - (294749653248*z^10)/
          5 - (71473132962054144*z^11)/5 + (27904503196981124923392*z^12)/5)*
        Cf[z]^6 + ((275*z^2)/18 - 5793120*z^3)*Cf[z]^4*tS0[z] + 
       ((5665*z^4)/1728 - 1333692*z^5 + 43858132992*z^6)*Cf[z]^5*tS1[z] - 
       (55*Cf[z]^4*tS1[z]^2)/32) + 
     S2[z]^4*(((108475*z^10)/186624 - (31214757*z^11)/40 + 
         (2032691065344*z^12)/5 - 101052156885073920*z^13 + 
         11134422664425813049344*z^14 - 182504557024215180408520704*z^15)*
        Cf[z]^6 + ((-13933*z^4)/864 + 9519552*z^5 - 1682491502592*z^6)*
        Cf[z]^4*tS0[z] + (((-29945*z^6)/5184 + 4359699*z^7 - 
           1043621003520*z^8 + 68830066435424256*z^9)*Cf[z]^5 + 
         (85*Cf[z]^3*tS0[z])/2)*tS1[z] + ((275*z^2)/24 - 2478600*z^3)*Cf[z]^4*
        tS1[z]^2) + S2[z]^3*(((-595015*z^12)/1492992 + (12163033*z^13)/20 - 
         (1931813289504*z^14)/5 + (657786044871327744*z^15)/5 - 
         (126405455554338959130624*z^16)/5 + 2561898995551484655666462720*
          z^17 - 92173963483544546556977419911168*z^18)*Cf[z]^6 + 
       ((9217*z^6)/1296 - 5170092*z^7 + 1519508284416*z^8 - 
         193868344609210368*z^9)*Cf[z]^4*tS0[z] + (155*Cf[z]^2*tS0[z]^2)/2 + 
       (((70031*z^8)/13824 - (25538883*z^9)/5 + 1963721366784*z^10 - 
           333698642397757440*z^11 + 19937860702909822402560*z^12)*Cf[z]^5 + 
         ((-110*z^2)/3 + 16796160*z^3)*Cf[z]^3*tS0[z])*tS1[z] + 
       ((-29677*z^4)/1728 + 8571528*z^5 - 1020749672448*z^6)*Cf[z]^4*
        tS1[z]^2 + (235*Cf[z]^3*tS1[z]^3)/24) + 
     S2[z]^2*(((17815*z^14)/124416 - (50229877*z^15)/252 + 
         (790300617264*z^16)/7 - (174889678168756224*z^17)/5 + 
         (237826337171313691459584*z^18)/35 - (4485007233459475989393309696*
           z^19)/5 + 78154948185961591390606165278720*z^20 - 
         2791965495090571421343560952553930752*z^21)*Cf[z]^6 + 
       ((49825*z^8)/20736 - (23235468*z^9)/5 + (10659904653312*z^10)/5 - 
         357302555536785408*z^11 + 17165810122433274839040*z^12)*Cf[z]^4*
        tS0[z] + ((-341*z^2)/2 + 43390080*z^3)*Cf[z]^2*tS0[z]^2 + 
       (((-162929*z^10)/62208 + (59723059*z^11)/20 - (7152422513472*z^12)/5 + 
           (1798282918402818048*z^13)/5 - 46772646688456628502528*z^14 + 
           2414532353908360119796629504*z^15)*Cf[z]^5 + 
         ((15*z^4)/8 - 5272128*z^5 + 1903958949888*z^6)*Cf[z]^3*tS0[z])*
        tS1[z] + (((26909*z^6)/1728 - 11712681*z^7 + 2917880983296*z^8 - 
           237003324065316864*z^9)*Cf[z]^4 - (195*Cf[z]^2*tS0[z])/2)*
        tS1[z]^2 + ((-715*z^2)/24 + 6881760*z^3)*Cf[z]^3*tS1[z]^3) + 
     S2[z]*(7385499648 + ((-585265*z^16)/376233984 - (23080487*z^17)/336 + 
         (20207961234144*z^18)/175 - (1971748893368807424*z^19)/25 + 
         (5075693548583979053481984*z^20)/175 - 
         (218841721218572127375571550208*z^21)/35 + 
         (27757113338589708684623446127149056*z^22)/35 - 
         54812591654673397637771098429027516416*z^23 + 
         1601738657958483041994265882114948815912960*z^24)*Cf[z]^6 + 
       ((-38153*z^10)/5184 + (64957273*z^11)/5 - (36323069739264*z^12)/5 + 
         (9174908235281596416*z^13)/5 - 218676077769076909277184*z^14 + 
         9943161324331926303635668992*z^15)*Cf[z]^4*tS0[z] + 
       ((6851*z^4)/24 - 113778432*z^5 + 11876524425216*z^6)*Cf[z]^2*
        tS0[z]^2 + (((21419*z^12)/64512 + (12372613*z^13)/70 - 
           (14084759670336*z^14)/35 + (6715496607954665472*z^15)/35 - 
           (1412704486370204574547968*z^16)/35 + 3945574477947200069720604672*
            z^17 - 145477024344695350668273307877376*z^18)*Cf[z]^5 + 
         (67*z^6 - (275422464*z^7)/5 + 13424458530816*z^8 - 
           976660727001513984*z^9)*Cf[z]^3*tS0[z] - 930*Cf[z]*tS0[z]^2)*
        tS1[z] + (((-204295*z^8)/41472 + (18694296*z^9)/5 - 
           (6400237234176*z^10)/5 + 222341702419611648*z^11 - 
           15117893407717680218112*z^12)*Cf[z]^4 + 
         ((-209*z^2)/2 + 5598720*z^3)*Cf[z]^2*tS0[z])*tS1[z]^2 + 
       ((2075*z^4)/96 - 10733472*z^5 + 1298329731072*z^6)*Cf[z]^3*tS1[z]^3 - 
       20*Cf[z]^2*tS1[z]^4)
 
Ff[5] = -4189834171921/965446501662720 + (112622550233*z)/7348320 - 
     (1596595001350*z^2)/63 + (78875857268047872*z^3)/5 - 
     (15704430123941351129088*z^4)/5 + ((44263844099*z^24)/12538266255360 - 
       (1398812222713*z^25)/215550720 + (4144912056997*z^26)/840 - 
       (779902117013329344*z^27)/385 + (186461124548467273703424*z^28)/385 - 
       (5122063162162785993766207488*z^29)/77 + 
       (356868110125875074161871306096640*z^30)/77 - 
       (39309805830597811101552646742612115456*z^31)/385)*Cf[z]^8 + 
     ((-12155*z^2)/1536 + 4637655*z^3)*Cf[z]^8*S2[z]^11 + 
     (565*Cf[z]^8*S2[z]^12)/128 + (7125948425/5079158784 - 
       (5714447261*z)/1512 + 3360427718016*z^2 - 860398471558987776*z^3 + 
       ((-126114173*z^18)/725594112 + (5991768179*z^19)/90720 + 
         57191554272*z^20 - (1651108733895757824*z^21)/35 + 
         (487881651204913772888064*z^22)/35 - (14231767613709699778005172224*
           z^23)/7 + (5058511830003328669993149904453632*z^24)/35 - 
         4073470038113821466597682754055307264*z^25)*Cf[z]^6)*tS0[z] + 
     (-2120993051/15676416 + (694902208*z)/3 - 86399275843584*z^2 + 
       ((-128047405*z^12)/15676416 + (286795806*z^13)/35 - 
         (510323541388992*z^14)/175 + (3046160612590387200*z^15)/7 - 
         (111051781634526088790016*z^16)/5)*Cf[z]^4)*tS0[z]^2 + 
     (1117895/216 - 3769666560*z + ((23785*z^6)/216 - 26802144*z^7)*Cf[z]^2)*
      tS0[z]^3 - 60300*tS0[z]^4 + (-5718975629/136080 + (387917610624*z)/5 - 
       (155547577815662592*z^2)/5 + ((-973187867*z^20)/33861058560 - 
         (226498715629*z^21)/1814400 + (3007979816442*z^22)/7 - 
         (17497730043035025408*z^23)/35 + (10849025476075719161806848*z^24)/
          35 - (4098954237874317802203399585792*z^25)/35 + 
         (4970134767608436987595176748769083392*z^26)/175 - 
         (156093581723089859369263325824450390130688*z^27)/35 + 
         (15392374584382788078121532455489290534414974976*z^28)/35 - 
         (124045133449751363352507715691235542336272016080896*z^29)/5 + 
         (3059864600612946866437495088282773531458037902773059584*z^30)/5)*
        Cf[z]^7 + (5992726 - 4550496288768*z + ((-39571463*z^14)/1959552 + 
           (5275780649*z^15)/84 - (11706163767715392*z^16)/175 + 
           (6014324757451866882048*z^17)/175 - (338227048245097486935392256*
             z^18)/35 + (53524534921835838877149350068224*z^19)/35 - 
           128238894563719278050315959340630016*z^20 + 
           4443055762222405765532564722935165616128*z^21)*Cf[z]^5)*tS0[z] + 
       (-158526720 + ((809545*z^8)/432 - 2529317376*z^9 + 1042673821028352*
            z^10 - 173643853656301240320*z^11 + 10239733329827678084136960*
            z^12)*Cf[z]^3)*tS0[z]^2 + (-36850*z^2 + 7502284800*z^3)*Cf[z]*
        tS0[z]^3)*tS1[z] + (-28846098432 + ((451594379*z^16)/376233984 - 
         (2922523343*z^17)/2520 - (1473269637024*z^18)/5 + 
         (26340768410007232512*z^19)/35 - (67354939294141087069765632*z^20)/
          175 + (682254768125173434767930032128*z^21)/7 - 
         (476032206157063880189356073111519232*z^22)/35 + 
         1002639628450238543873109205077442166784*z^23 - 
         30596560337104421115595848950095437449134080*z^24)*Cf[z]^6 + 
       ((633191*z^10)/10368 - (1767777171*z^11)/10 + (571461397709184*z^12)/
          5 - (153943366524100411392*z^13)/5 + 3769663849585463569416192*
          z^14 - 173510719256343082317555695616*z^15)*Cf[z]^4*tS0[z] + 
       ((-123365*z^4)/24 + 2145242880*z^5 - 212105670819840*z^6)*Cf[z]^2*
        tS0[z]^2)*tS1[z]^2 + 
     (((-24082585*z^12)/1741824 + (1152033971*z^13)/56 - 
         (2242125323584992*z^14)/175 + (148151866819331948544*z^15)/35 - 
         (27251946748633937539497984*z^16)/35 + 75443940983620088090446528512*
          z^17 - 3004703668467505186489874333564928*z^18)*Cf[z]^5 + 
       ((183995*z^6)/432 - 377379288*z^7 + 99422719211520*z^8 - 
         8213467152431185920*z^9)*Cf[z]^3*tS0[z] - 6600*Cf[z]*tS0[z]^2)*
      tS1[z]^3 + (((5411627*z^8)/82944 - (362950089*z^9)/5 + 
         27442743618816*z^10 - 4357106035646791680*z^11 + 
         249580021852076205146112*z^12)*Cf[z]^4 + 
       ((-5995*z^2)/3 + 401241600*z^3)*Cf[z]^2*tS0[z])*tS1[z]^4 + 
     ((-7285*z^4)/72 + 41135040*z^5 - 4005279498240*z^6)*Cf[z]^3*tS1[z]^5 - 
     50*Cf[z]^2*tS1[z]^6 + S2[z]^10*(((15505*z^4)/3456 - (12596121*z^5)/2 + 
         2121737960448*z^6)*Cf[z]^8 + (1255*Cf[z]^7*tS1[z])/96) + 
     S2[z]^9*(((3025*z^6)/2304 + (4006197*z^7)/4 - 1777202529408*z^8 + 
         537619698705530880*z^9)*Cf[z]^8 - (1775*Cf[z]^6*tS0[z])/64 + 
       ((-68365*z^2)/2304 + 13166550*z^3)*Cf[z]^7*tS1[z]) + 
     S2[z]^8*(((-5605373*z^8)/1492992 + (32410597*z^9)/8 - 
         1235668646880*z^10 - 76258288267812864*z^11 + 
         76515407850566376751104*z^12)*Cf[z]^8 + 
       ((1705*z^2)/36 - 23562900*z^3)*Cf[z]^6*tS0[z] + 
       ((685765*z^4)/20736 - 26286300*z^5 + 5896023229440*z^6)*Cf[z]^7*
        tS1[z] - (7925*Cf[z]^6*tS1[z]^2)/1152) + 
     S2[z]^7*(((51260041*z^10)/17915904 - (71078695*z^11)/16 + 
         (13595111412192*z^12)/5 - 775406543963185152*z^13 + 
         80222778508139141529600*z^14 + (21592575406658151799710547968*z^15)/
          5)*Cf[z]^8 + ((-345265*z^4)/10368 + 31746420*z^5 - 
         8524252753920*z^6)*Cf[z]^6*tS0[z] + 
       (((-2925325*z^6)/124416 + 25951863*z^7 - 10280188265472*z^8 + 
           1551409836840714240*z^9)*Cf[z]^7 + (1675*Cf[z]^5*tS0[z])/144)*
        tS1[z] + ((28985*z^2)/1728 - 6269400*z^3)*Cf[z]^6*tS1[z]^2) + 
     S2[z]^6*(((-29256775*z^12)/26873856 + (2965536547*z^13)/1440 - 
         1693051217280*z^14 + (3781215399866499072*z^15)/5 - 
         (937096261570692343922688*z^16)/5 + (111793797087529844437105508352*
           z^17)/5 - (1985702708461455020364672849149952*z^18)/5)*Cf[z]^8 + 
       ((-20203*z^6)/7776 - 5289966*z^7 + 5821040692224*z^8 - 
         1496573729372897280*z^9)*Cf[z]^6*tS0[z] + (9475*Cf[z]^4*tS0[z]^2)/
        48 + (((579965*z^8)/62208 - (54251415*z^9)/4 + (39635253222336*z^10)/
            5 - (10949825328290168832*z^11)/5 + (1292434420002726353043456*
             z^12)/5)*Cf[z]^7 + ((8195*z^2)/108 - 7808400*z^3)*Cf[z]^5*
          tS0[z])*tS1[z] + ((-85715*z^4)/6912 + 10860660*z^5 - 
         2263383336960*z^6)*Cf[z]^6*tS1[z]^2 + (1775*Cf[z]^5*tS1[z]^3)/144) + 
     S2[z]^5*(((-4326815*z^14)/107495424 + (4672093711*z^15)/60480 + 
         (448058345256*z^16)/35 - (390814266975731712*z^17)/5 + 
         (1844848069514432255361024*z^18)/35 - (79392910327174819009253081088*
           z^19)/5 + (11220408995120314907717822280892416*z^20)/5 - 
         (378686106345879478823463555821192871936*z^21)/5)*Cf[z]^8 + 
       ((6771199*z^8)/248832 - 28466727*z^9 + 10076430689280*z^10 - 
         1111520647075332096*z^11 - 61920309350672954818560*z^12)*Cf[z]^6*
        tS0[z] + ((-2035*z^2)/6 + 131220000*z^3)*Cf[z]^4*tS0[z]^2 + 
       (((1565761*z^10)/995328 - (151022933*z^11)/120 - (2113395090048*z^12)/
            5 + (3223839881583968256*z^13)/5 - (1045256721198421358149632*
             z^14)/5 + (125875253194827670295175757824*z^15)/5)*Cf[z]^7 + 
         ((-19675*z^4)/96 + 98594280*z^5 - 9701999493120*z^6)*Cf[z]^5*tS0[z])*
        tS1[z] + (((-176471*z^6)/20736 + 2313348*z^7 + 1081667665152*z^8 - 
           314057448308736000*z^9)*Cf[z]^6 + (2125*Cf[z]^4*tS0[z])/16)*
        tS1[z]^2 + ((-3025*z^2)/576 + 5491800*z^3)*Cf[z]^5*tS1[z]^3) + 
     S2[z]^4*(((1635836165*z^16)/4514807808 - (8897193893*z^17)/10368 + 
         (20877194711682*z^18)/25 - (77144685176996587008*z^19)/175 + 
         (24065343226623227777777664*z^20)/175 - 
         (177524204959030491101754556416*z^21)/7 + 
         (88023502886720592944488119892180992*z^22)/35 - 
         88519307084442685576392143424039419904*z^23 + 
         608381404607698821007489715352437771993088*z^24)*Cf[z]^8 + 
       ((-5476937*z^10)/186624 + (476756509*z^11)/12 - (106483204786176*z^12)/
          5 + (28075770501956370432*z^13)/5 - 701422403183081781460992*z^14 + 
         26212259357414228097000013824*z^15)*Cf[z]^6*tS0[z] + 
       ((30911*z^4)/96 - 198676800*z^5 + 36706596802560*z^6)*Cf[z]^4*
        tS0[z]^2 + (((-378430679*z^12)/62705664 + (10112491309*z^13)/1008 - 
           (227966310183312*z^14)/35 + (73436774845861675008*z^15)/35 - 
           (11820387984077344940752896*z^16)/35 + 
           21430949716211555155788693504*z^17 + 
           354299463687040581453736644182016*z^18)*Cf[z]^7 + 
         ((245075*z^6)/864 - 221451378*z^7 + 56092949743104*z^8 - 
           4369100977031086080*z^9)*Cf[z]^5*tS0[z] - (1775*Cf[z]^3*tS0[z]^2)/
          2)*tS1[z] + (((14974325*z^8)/497664 - (119645257*z^9)/4 + 
           10284244678080*z^10 - 1388607467461115904*z^11 + 
           51337261378357545664512*z^12)*Cf[z]^6 + 
         ((-6875*z^2)/12 + 138510000*z^3)*Cf[z]^4*tS0[z])*tS1[z]^2 + 
       ((-3505*z^4)/96 + 11705040*z^5 - 180995420160*z^6)*Cf[z]^5*tS1[z]^3 - 
       (3475*Cf[z]^4*tS1[z]^4)/192) + 
     S2[z]^3*(((-584832485*z^18)/2257403904 + (71241160541*z^19)/108864 - 
         (17663811470232*z^20)/25 + (76028026168837582848*z^21)/175 - 
         168925260372781293895680*z^22 + (7554347768466756908002370912256*
           z^23)/175 - (252922554802705690210169439161155584*z^24)/35 + 
         (5290148313534501512837843348474711506944*z^25)/7 - 
         43061637630632721981939413990032181286666240*z^26 + 
         1039136148605711960147566622887385786069733605376*z^27)*Cf[z]^8 + 
       ((250551589*z^12)/15676416 - (4958032571*z^13)/210 + 
         (519209458111296*z^14)/35 - (178955412134809632768*z^15)/35 + 
         (35676269502854113297170432*z^16)/35 - 
         109715296872578483827784024064*z^17 + 
         4506121007325276019938167378411520*z^18)*Cf[z]^6*tS0[z] + 
       ((-8699*z^6)/144 + 38896452*z^7 - 15752990813184*z^8 + 
         3006124564320092160*z^9)*Cf[z]^4*tS0[z]^2 - 1675*Cf[z]^2*tS0[z]^3 + 
       (((159334751*z^14)/31352832 - (49007975287*z^15)/5040 + 
           (1353364619510016*z^16)/175 - (585070242536152313856*z^17)/175 + 
           (29707841903001061548883968*z^18)/35 - 
           (4392735562254658209060659134464*z^19)/35 + 
           9807512665302291067939077413142528*z^20 - 
           281544977941344859785293266321196187648*z^21)*Cf[z]^7 + 
         ((-13016137*z^8)/62208 + (1057641418*z^9)/5 - 83186768254464*z^10 + 
           14659274621576282112*z^11 - 937291295731656821833728*z^12)*Cf[z]^5*
          tS0[z] + ((1210*z^2)/3 - 289267200*z^3)*Cf[z]^3*tS0[z]^2)*tS1[z] + 
       (((-25105829*z^10)/746496 + (219203288*z^11)/5 - 22260157316352*z^12 + 
           (27415359222759309312*z^13)/5 - 649387869057956047749120*z^14 + 
           28901988408272949453778845696*z^15)*Cf[z]^6 + 
         ((215977*z^4)/288 - 389052720*z^5 + 49458913320960*z^6)*Cf[z]^4*
          tS0[z])*tS1[z]^2 + (((418625*z^6)/5184 - 55937451*z^7 + 
           12182888063232*z^8 - 783161007420211200*z^9)*Cf[z]^5 - 
         (6025*Cf[z]^3*tS0[z])/12)*tS1[z]^3 + ((-5555*z^2)/144 + 2041200*z^3)*
        Cf[z]^4*tS1[z]^4) + S2[z]^2*
      (((1300664915*z^20)/13544423424 - (2566334808329*z^21)/10886400 + 
         (42641781579368*z^22)/175 - (4991305742017406208*z^23)/35 + 
         (9329684170049435720024064*z^24)/175 - 
         (339406292818459098808156422144*z^25)/25 + 
         (427221958119618864562395663619325952*z^26)/175 - 
         (10945151516474736893084182904584166965248*z^27)/35 + 
         27544250374627276271106071024004606946443264*z^28 - 
         1440195211942587340111810954965969320343062446080*z^29 + 
         (166292754995957198797997181489168336011609830833782784*z^30)/5)*
        Cf[z]^8 + ((-8129179*z^14)/2612736 + (172070237*z^15)/105 + 
         (30989866000032*z^16)/25 - (222690794629617967104*z^17)/175 + 
         (2995587279946333223387136*z^18)/7 - 
         (2394988349937637600939021959168*z^19)/35 + 
         5076835836204309493212406509207552*z^20 - 
         144023749989288387312528309873046192128*z^21)*Cf[z]^6*tS0[z] + 
       ((-431675*z^8)/2304 + (1247590116*z^9)/5 - 103982997583872*z^10 + 
         17259972953388613632*z^11 - 934400376127976946794496*z^12)*Cf[z]^4*
        tS0[z]^2 + (3685*z^2 - 937785600*z^3)*Cf[z]^2*tS0[z]^3 + 
       (((-223322447*z^16)/94058496 + (48606532759*z^17)/10080 - 
           (146265984983736*z^18)/35 + (360253565080931414016*z^19)/175 - 
           (111459358422721957703712768*z^20)/175 + 
           (4449088498174821630074356236288*z^21)/35 - 
           (557091593252338653639705380316512256*z^22)/35 + 
           1131775568629678796271972701512107294720*z^23 - 
           33737368388415008782373272505798034670485504*z^24)*Cf[z]^7 + 
         ((578209*z^10)/7776 - (739762377*z^11)/10 + (169067571055488*z^12)/
            5 - (44707162727307608064*z^13)/5 + 1293044858715716494295040*
            z^14 - 75385272595040665086701076480*z^15)*Cf[z]^5*tS0[z] + 
         ((20105*z^4)/24 - 254664000*z^5 - 3482851737600*z^6)*Cf[z]^3*
          tS0[z]^2)*tS1[z] + (((56149799*z^12)/2612736 - (18671069147*z^13)/
            560 + (3726720039599856*z^14)/175 - (251042201875346300928*z^15)/
            35 + (46955970931168621621149696*z^16)/35 - 
           131632446868913159687928545280*z^17 + 
           5251708465014554247423598805385216*z^18)*Cf[z]^6 + 
         ((-52843*z^6)/96 + 431876502*z^7 - 112403869972992*z^8 + 
           9625777463434936320*z^9)*Cf[z]^4*tS0[z] + (3225*Cf[z]^2*tS0[z]^2)/
          2)*tS1[z]^2 + (((-215431*z^8)/2592 + (843723327*z^9)/10 - 
           30952270177920*z^10 + 4879711630696513536*z^11 - 
           276641912150326656368640*z^12)*Cf[z]^5 + 
         ((15235*z^2)/12 - 309096000*z^3)*Cf[z]^3*tS0[z])*tS1[z]^3 + 
       ((125563*z^4)/1152 - 45382680*z^5 + 4109281320960*z^6)*Cf[z]^4*
        tS1[z]^4 + 25*Cf[z]^3*tS1[z]^5) + 
     S2[z]*(15318683232/5 - (14467315497172992*z)/5 + 
       ((-1117351769*z^22)/81266540544 + (4860399007*z^23)/544320 + 
         (7682954938331*z^24)/210 - (1652236225709530752*z^25)/25 + 
         (8995716141388679563444224*z^26)/175 - 
         (4113424812398760783090259329024*z^27)/175 + 
         (1215348102537315059780725315945365504*z^28)/175 - 
         (239729940001019604711692835126853735809024*z^29)/175 + 
         (6297236895459633749653923342146324278743662592*z^30)/35 - 
         (530004355196208176613841284809548075072047475064832*z^31)/35 + 
         741318580578242897090652324986797160652705486593851392*z^32 - 
         (80464139940736821702609992192909543354137156473085853958144*z^33)/
          5)*Cf[z]^8 + (-221564989440 + ((-59949643*z^16)/26873856 + 
           (3493672001*z^17)/378 - (416301243332256*z^18)/35 + 
           (259349074383139946496*z^19)/35 - (457405530070443114126901248*
             z^20)/175 + (19328349368582595512813563674624*z^21)/35 - 
           (2431540748615905492689466708979613696*z^22)/35 + 
           4804506385572272789887157758822535135232*z^23 - 
           140928031689371233330746132040307741942611968*z^24)*Cf[z]^6)*
        tS0[z] + ((1473163*z^10)/5184 - (2351565243*z^11)/5 + 
         (1284503701549824*z^12)/5 - (321218111097023496192*z^13)/5 + 
         7633502618780323987587072*z^14 - 348773319229474951538153619456*
          z^15)*Cf[z]^4*tS0[z]^2 + ((-74035*z^4)/12 + 2459082240*z^5 - 
         256686173061120*z^6)*Cf[z]^2*tS0[z]^3 + 
       (((5752543319*z^18)/11287019520 - (330298689631*z^19)/453600 + 
           (36880015174104*z^20)/175 + (29764044051913792512*z^21)/175 - 
           (27310768553336871390806016*z^22)/175 + 
           (9795471674234151054896548282368*z^23)/175 - 
           (387185956148497885411859924930002944*z^24)/35 + 
           (44153755847065142160645370860127333122048*z^25)/35 - 
           (389435593059692824884778410531675726598373376*z^26)/5 + 
           (10186013966626128824958860229285312532518543556608*z^27)/5)*
          Cf[z]^7 + ((62047967*z^12)/2612736 - (8325623017*z^13)/105 + 
           (11811848198203008*z^14)/175 - (180001859977205710848*z^15)/7 + 
           (34921794912211208994029568*z^16)/7 - 
           480866025825571709939443826688*z^17 + 
           18250087794118006341907875681533952*z^18)*Cf[z]^5*tS0[z] + 
         ((-8135*z^6)/3 + 2153979648*z^7 - 519467336663040*z^8 + 
           38516350262905405440*z^9)*Cf[z]^3*tS0[z]^2 + 20100*Cf[z]*tS0[z]^3)*
        tS1[z] + (((-436853087*z^14)/62705664 + (17788880773*z^15)/1680 - 
           (237984223285944*z^16)/35 + (432999105596330323968*z^17)/175 - 
           563189489968484445585408*z^18 + (2823259020643787051627421106176*
             z^19)/35 - 6665062275180030478806602578132992*z^20 + 
           240196682854408481456182400842287022080*z^21)*Cf[z]^6 + 
         ((5285*z^8)/256 + (226040472*z^9)/5 - 20268947478528*z^10 + 
           1952495182256799744*z^11 + 22957633079773356883968*z^12)*Cf[z]^4*
          tS0[z] + ((9955*z^2)/2 - 643852800*z^3)*Cf[z]^2*tS0[z]^2)*
        tS1[z]^2 + (((10765975*z^10)/248832 - (1061402037*z^11)/20 + 
           (130649233684032*z^12)/5 - 6393531605989588992*z^13 + 
           772799726538290607685632*z^14 - 36700371634020098509721567232*
            z^15)*Cf[z]^5 + ((-98755*z^4)/144 + 374051520*z^5 - 
           48934066913280*z^6)*Cf[z]^3*tS0[z])*tS1[z]^3 + 
       (((-199991*z^6)/1728 + 82618470*z^7 - 18942571519488*z^8 + 
           1383422145551400960*z^9)*Cf[z]^4 + 1000*Cf[z]^2*tS0[z])*tS1[z]^4 + 
       ((1045*z^2)/12 - 11664000*z^3)*Cf[z]^3*tS1[z]^5)
 
Ff[6] = 4000780405318546279/213489184912677273600 + 
     (80406737764568393*z)/16639324176384 - (3158064279883693*z^2)/291600 + 
     (6015126791439612544*z^3)/525 - (181285708133143779213312*z^4)/35 + 
     (29002894852950830816088293376*z^5)/35 + 
     ((-784549279211573279*z^30)/42697836982535454720 + 
       (247983812118183431893*z^31)/7626356914176000 - 
       (3104693433575725886467*z^32)/122594472000 + 
       (29763576736717029419188*z^33)/2627625 - 
       (397426485829392952077855744*z^34)/125125 + 
       (9071553308423731191703420010496*z^35)/15925 - 
       (55518888218747878135659716517977653248*z^36)/875875 + 
       (3481460715731456988102175451896824490622976*z^37)/875875 - 
       (101980426576071700537425888998856349912267751424*z^38)/875875 + 
       (1964311441026007274354439156855783269743565746470912*z^39)/875875)*
      Cf[z]^10 + ((-6215*z^2)/128 + (133583175*z^3)/4)*Cf[z]^10*S2[z]^14 + 
     (82825*Cf[z]^10*S2[z]^15)/3072 + (108412082354273/211191422238720 - 
       (52284079514183*z)/29393280 + (794811617556536*z^2)/315 - 
       (7321637856636960768*z^3)/5 + (1421859135300256879607808*z^4)/5 + 
       ((-217932061243*z^24)/1097098297344 + (329341608421883*z^25)/
          943034400 - (8182242533465339*z^26)/36750 + 
         (3379379432558852444544*z^27)/67375 + (743112857018616061374038016*
           z^28)/67375 - (96230117152382352313104841310208*z^29)/9625 + 
         (192903921432467319038961021587539623936*z^30)/67375 - 
         (6035878472029279348520178688083071613272064*z^31)/13475 + 
         (7116830516224099477902176296475657410713747456*z^32)/175 - 
         (355469025157214798395563994151674183654935644602368*z^33)/175 + 
         (1093146072595520369722654495273861223044036689030807552*z^34)/25)*
        Cf[z]^8)*tS0[z] + (-1378789961275/20316635136 + (29155960835*z)/162 - 
       151831710461952*z^2 + 38349412719925395456*z^3 + 
       ((18915766651*z^18)/20316635136 + (54584386253*z^19)/10080 - 
         (1284310498125204*z^20)/175 + (3310922979572456236032*z^21)/875 - 
         (35210752513180024518475776*z^22)/35 + 
         (3656342252617994464590198472704*z^23)/25 - 
         (384722008381909618725593553328668672*z^24)/35 + 
         (1678778718712163114836513489788497559552*z^25)/5)*Cf[z]^6)*
      tS0[z]^2 + (1020875231/244944 - (20550332032*z)/3 + 
       2540741807702016*z^2 + ((28439315*z^12)/122472 - 
         (8713021944*z^13)/35 + (16294023803179008*z^14)/175 - 
         (101967937456578232320*z^15)/7 + (3971734307870109528489984*z^16)/5)*
        Cf[z]^4)*tS0[z]^3 + (-4087825/36 + 82707609600*z + 
       ((-86975*z^6)/36 + 588047040*z^7)*Cf[z]^2)*tS0[z]^4 + 
     1058400*tS0[z]^5 + (-5620585024091/235146240 + (13948063461964*z)/315 - 
       39372021337927680*z^2 + (52117771283615597985792*z^3)/5 + 
       ((-232466467769*z^26)/7313988648960 + (58769736019189*z^27)/
          1257379200 + (54207596316711841*z^28)/539000 - 
         (21139055787226473328464*z^29)/67375 + 
         (24466435280921334993964498944*z^30)/67375 - 
         (16504182479881151890460098522251264*z^31)/67375 + 
         (7329863699197733499647280513949246685184*z^32)/67375 - 
         (2256714339229012560005881378571354049286766592*z^33)/67375 + 
         (98369409823149535520971518130726993954837150826496*z^34)/13475 - 
         (2169093473885394888798672611156333844082936787943555072*z^35)/
          1925 + (21133982339396220634441769089694474808419989823570741035008*
           z^36)/175 - 
         (299699987181118290918870211148238413561177255190887853264470016*
           z^37)/35 + (180854071843252710338204078330911034657112613883829182\
1084077457408*z^38)/5 - 
         (3450004099887808487581901027333411731021192208895630393287613884242\
3296*z^39)/5)*Cf[z]^9 + (232151691043/68040 - (29304272879616*z)/5 + 
         (11307632186640826368*z^2)/5 + ((-1569244571*z^20)/302330880 + 
           (5044912836413*z^21)/151200 - (11537612534892076*z^22)/175 + 
           (8042381532728606509056*z^23)/125 - (32114852525333757154866757632*
             z^24)/875 + (463165089718846630739519905726464*z^25)/35 - 
           (545624161491442378480097327447418077184*z^26)/175 + 
           (2402313329746773910873275026595655823917056*z^27)/5 - 
           (1637382049597083993257686781665358647565028950016*z^28)/35 + 
           (13083074446667492407320528117655526959595931486388224*z^29)/5 - 
           (320830070482798945084234822548671882484323870321405853696*z^30)/
            5)*Cf[z]^7)*tS0[z] + (-210618816 + 157862619906048*z + 
         ((792426361*z^14)/653184 - (23632447182*z^15)/7 + 
           (600266632967214912*z^16)/175 - (301216706688585474736128*z^17)/
            175 + (16715883546034262691771580416*z^18)/35 - 
           (2624282385633876932431430144753664*z^19)/35 + 
           6257630862557331700518672531934150656*z^20 - 
           216248343417727850536891834313815263019008*z^21)*Cf[z]^5)*
        tS0[z]^2 + (3574056960 + ((-3159005*z^8)/54 + 77945221440*z^9 - 
           31973462886039552*z^10 + 5312127186248128266240*z^11 - 
           313043276083303301429329920*z^12)*Cf[z]^3)*tS0[z]^3 + 
       (808500*z^2 - 164602368000*z^3)*Cf[z]*tS0[z]^4)*tS1[z] + 
     (-191580285888/5 + (127112637149872128*z)/5 + 
       ((21016184699*z^22)/25395793920 - (60446780956967*z^23)/32659200 + 
         (842665506562511*z^24)/700 + (203682311381126649024*z^25)/875 - 
         (654407172252151802371620864*z^26)/875 + 
         (417561378158068005352078892335104*z^27)/875 - 
         (29157416239475263876522344374499016704*z^28)/175 + 
         (911682083557548522982237907396108079857664*z^29)/25 - 
         (180254203276036854917995539948720206225766088704*z^30)/35 + 
         (16024881003465767878502388453535182535424640710344704*z^31)/35 - 
         (116906287549746686430423674524725169899017035510487973888*z^32)/5 + 
         (2622714258912654219432969358986241562490743631916892021587968*z^33)/
          5)*Cf[z]^8 + (1615381512192 + ((-420371591*z^16)/47029248 - 
           (8311548247*z^17)/72 + (39899066048479368*z^18)/175 - 
           (29601307731647778729984*z^19)/175 + 
           (11488558093099077785275072512*z^20)/175 - 
           (73570387878857191821978195984384*z^21)/5 + 
           (13472662925508435273040020376154800128*z^22)/7 - 
           136862344186431032213078964471669297512448*z^23 + 
           4097241931719276026107974636875750026134945792*z^24)*Cf[z]^6)*
        tS0[z] + ((-310823*z^10)/54 + (57439747998*z^11)/5 - 
         (33801224547792384*z^12)/5 + (8755947945740706250752*z^13)/5 - 
         210848714619080184139087872*z^14 + 9666591792911329556895425888256*
          z^15)*Cf[z]^4*tS0[z]^2 + ((517615*z^4)/3 - 71432202240*z^5 + 
         7130094077214720*z^6)*Cf[z]^2*tS0[z]^3)*tS1[z]^2 + 
     (((-28008540163*z^18)/2821754880 + (2732754092147*z^19)/113400 - 
         (4274871275838708*z^20)/175 + (12286432131512027196672*z^21)/875 - 
         (896966718315154985719627776*z^22)/175 + 
         (43448994849836826938598821462016*z^23)/35 - 
         (7002993828479151351867646011437481984*z^24)/35 + 
         (724611953208651023132755907090672384999424*z^25)/35 - 
         (6233178086057818269294293106260937352383823872*z^26)/5 + 
         (166267563999876818044888226937156683410000394059776*z^27)/5)*
        Cf[z]^7 + ((9726623*z^12)/15552 - (25143890939*z^13)/30 + 
         (12587109732868608*z^14)/25 - 167635756075322769408*z^15 + 
         31785783591474605944995840*z^16 - 3204524367299732207623068450816*
          z^17 + 133103301044535588913998663279181824*z^18)*Cf[z]^5*tS0[z] + 
       ((-141025*z^6)/24 + 7589242944*z^7 - 2316401155031040*z^8 + 
         207609615717551308800*z^9)*Cf[z]^3*tS0[z]^2 + 148800*Cf[z]*tS0[z]^3)*
      tS1[z]^3 + (((312313735*z^14)/5225472 - (1266455241319*z^15)/10080 + 
         (3728438534419848*z^16)/35 - (8329746540416172890112*z^17)/175 + 
         (427967919971770929490427904*z^18)/35 - 
         (12747218554044405639982281129984*z^19)/7 + 
         146484554161415845559610080627785728*z^20 - 
         4932205668462687082957618350939256651776*z^21)*Cf[z]^6 + 
       ((-41898215*z^8)/10368 + (23082388512*z^9)/5 - 1772262221119488*z^10 + 
         284502201953842888704*z^11 - 16450753981341938736955392*z^12)*
        Cf[z]^4*tS0[z] + (67760*z^2 - 13660876800*z^3)*Cf[z]^2*tS0[z]^2)*
      tS1[z]^4 + (((-19871107*z^10)/124416 + (4808769557*z^11)/20 - 
         126339212870208*z^12 + (153931511279899312128*z^13)/5 - 
         3569142077184268428115968*z^14 + 159538449657588517908762329088*
          z^15)*Cf[z]^5 + ((67330*z^4)/9 - 3049436160*z^5 + 
         300918390128640*z^6)*Cf[z]^3*tS0[z])*tS1[z]^5 + 
     ((38*z^6 + 87480*z^7 - 5243908958208*z^8 + 740259239716454400*z^9)*
        Cf[z]^4 + 2800*Cf[z]^2*tS0[z])*tS1[z]^6 + 
     ((1265*z^2)/3 - 83980800*z^3)*Cf[z]^3*tS1[z]^7 + 
     S2[z]^13*(((1553765*z^4)/110592 - (84606255*z^5)/2 + 18178274016000*z^6)*
        Cf[z]^10 + (142925*Cf[z]^9*tS1[z])/768) + 
     S2[z]^12*(((1265825*z^6)/41472 - (185179239*z^7)/16 - 
         12341640328704*z^8 + 5625022877465296896*z^9)*Cf[z]^10 - 
       (114715*Cf[z]^8*tS0[z])/1152 + ((-412885*z^2)/1152 + 211306725*z^3)*
        Cf[z]^9*tS1[z]) + S2[z]^11*
      (((-386498975*z^8)/11943936 + (1490292041*z^9)/32 - 
         19248541340040*z^10 + 93724387027144704*z^11 + 
         1052172832917245587881984*z^12)*Cf[z]^10 + 
       ((190135*z^2)/1152 - 102337020*z^3)*Cf[z]^8*tS0[z] + 
       ((4661015*z^4)/20736 - (632144079*z^5)/2 + 105784998803712*z^6)*
        Cf[z]^9*tS1[z] + (827965*Cf[z]^8*tS1[z]^2)/2304) + 
     S2[z]^10*(((230539031*z^10)/22394880 - (2622217357*z^11)/96 + 
         24458457993444*z^12 - 9111240758436553728*z^13 + 
         1014407000687207026262016*z^14 + 110184075240672644529238573056*
          z^15)*Cf[z]^10 + ((-239995*z^4)/4608 + 116338032*z^5 - 
         44946796257792*z^6)*Cf[z]^8*tS0[z] + 
       (((3814945*z^6)/248832 + (1632036555*z^7)/16 - 110836190406672*z^8 + 
           30438910656593068032*z^9)*Cf[z]^9 - (4715*Cf[z]^7*tS0[z])/12)*
        tS1[z] + ((-4822675*z^2)/6912 + 364280355*z^3)*Cf[z]^8*tS1[z]^2) + 
     S2[z]^9*(((14881788829*z^12)/3869835264 - (2377993123*z^13)/1728 - 
         5067666849528*z^14 + (26809799385964455936*z^15)/5 - 
         (10397095601585980876259328*z^16)/5 + 
         (1496446815827373804257009467392*z^17)/5 + 
         2977784695582011447304655474786304*z^18)*Cf[z]^10 + 
       ((-259055*z^6)/2304 + (221442873*z^7)/4 + 17704202819904*z^8 - 
         10191402685891215360*z^9)*Cf[z]^8*tS0[z] + (183725*Cf[z]^6*tS0[z]^2)/
        288 + (((-1018089905*z^8)/8957952 + (1798920825*z^9)/16 - 
           15475778088912*z^10 - 16566017520794886144*z^11 + 
           5434213226089415360643072*z^12)*Cf[z]^9 + 
         ((188045*z^2)/192 - 410589000*z^3)*Cf[z]^7*tS0[z])*tS1[z] + 
       ((148340935*z^4)/248832 - 592758060*z^5 + 163496783162880*z^6)*Cf[z]^8*
        tS1[z]^2 + (1018075*Cf[z]^7*tS1[z]^3)/5184) + 
     S2[z]^8*(((-619400125*z^14)/107495424 + (149154981193*z^15)/13440 - 
         (286712445089898*z^16)/35 + (12733578511189705728*z^17)/5 - 
         (145793512639365099945984*z^18)/7 - (959438054776805385069788135424*
           z^19)/5 + (203098588579088440422001347057942528*z^20)/5 - 
         (3619054590876600750026776472397369311232*z^21)/5)*Cf[z]^10 + 
       ((242141651*z^8)/1492992 - 195998944*z^9 + 79869126765888*z^10 - 
         9098057831743438848*z^11 - 947424190976994450604032*z^12)*Cf[z]^8*
        tS0[z] + ((-32835*z^2)/32 + 531246600*z^3)*Cf[z]^6*tS0[z]^2 + 
       (((410605375*z^10)/4478976 - (2367385187*z^11)/16 + 
           (449813032933608*z^12)/5 - (113657508947918333952*z^13)/5 + 
           (3106641837868972558516224*z^14)/5 + 
           581602356489630673635706404864*z^15)*Cf[z]^9 + 
         ((-11916395*z^4)/10368 + 891727560*z^5 - 189901348853760*z^6)*
          Cf[z]^7*tS0[z])*tS1[z] + 
       (((-80656535*z^6)/248832 + (7042402275*z^7)/16 - 222165081085392*z^8 + 
           43102820370444779520*z^9)*Cf[z]^8 + (87575*Cf[z]^6*tS0[z])/288)*
        tS1[z]^2 + ((-14465*z^2)/54 + 155398500*z^3)*Cf[z]^7*tS1[z]^3) + 
     S2[z]^7*(((88523529905*z^16)/27088846848 - (772899218771*z^17)/96768 + 
         (585369794383119*z^18)/70 - (168846832939022790912*z^19)/35 + 
         (56767246601614946805547008*z^20)/35 - 
         (10431086846119478557153746223104*z^21)/35 + 
         (138600002907065784650178302280990720*z^22)/7 + 
         (11652956916215234001823606132765743906816*z^23)/7 - 
         (2458349416688681616411633457567868561676828672*z^24)/35)*Cf[z]^10 + 
       ((-456943715*z^10)/4478976 + (4012467247*z^11)/24 - 
         (550557826026336*z^12)/5 + 35093831910810697728*z^13 - 
         (24186871796697996598444032*z^14)/5 + 
         (481061238039018390978054586368*z^15)/5)*Cf[z]^8*tS0[z] + 
       ((1847735*z^4)/3456 - 620922240*z^5 + 184350688266240*z^6)*Cf[z]^6*
        tS0[z]^2 + (((-8715450199*z^12)/188116992 + (932008745767*z^13)/
            10080 - (2694630688032384*z^14)/35 + (1179182353874478446592*
             z^15)/35 - (273816561374330234767147008*z^16)/35 + 
           (3741004693249821302158667022336*z^17)/5 + 
           (125942237963431199351893843809140736*z^18)/5)*Cf[z]^9 + 
         ((7973125*z^6)/10368 - 871325682*z^7 + 347131892307456*z^8 - 
           50724295893767946240*z^9)*Cf[z]^7*tS0[z] + (4625*Cf[z]^5*tS0[z]^2)/
          24)*tS1[z] + (((443524909*z^8)/2985984 - (461282801*z^9)/2 + 
           149320769092128*z^10 - 49371058379106828288*z^11 + 
           7487309248351365966594048*z^12)*Cf[z]^8 + 
         ((-509575*z^2)/864 + 251391600*z^3)*Cf[z]^6*tS0[z])*tS1[z]^2 + 
       ((4517405*z^4)/41472 - 151574760*z^5 + 51416656934400*z^6)*Cf[z]^7*
        tS1[z]^3 + (10025*Cf[z]^6*tS1[z]^4)/384) + 
     S2[z]^6*(((-2748346775*z^18)/2539579392 + (77405683548913*z^19)/
          26127360 - (2568182461569117*z^20)/700 + 
         (93615973178525411904*z^21)/35 - (218536263470493497151700992*z^22)/
          175 + (2659683639705457042242234482688*z^23)/7 - 
         (12763137063162325761465223678676434944*z^24)/175 + 
         (1378319239016767742864274737646690499559424*z^25)/175 - 
         (1534052468665650060258887567858926108796780544*z^26)/5 + 
         4111898466464106457939909999769086892971659362304*z^27)*Cf[z]^10 + 
       ((7555309841*z^12)/376233984 - (18292484243*z^13)/420 + 
         (1499555339018208*z^14)/35 - (795802206559333883904*z^15)/35 + 
         (230317232888142997814771712*z^16)/35 - 
         (4628450878434700878053432623104*z^17)/5 + 
         (180482463813436433685662315820613632*z^18)/5)*Cf[z]^8*tS0[z] + 
       ((2465719*z^6)/5184 - 227169099*z^7 - 43334544616704*z^8 + 
         27137735715237396480*z^9)*Cf[z]^6*tS0[z]^2 - 
       (13000*Cf[z]^4*tS0[z]^3)/3 + 
       (((3938364095*z^14)/250822656 - (8538311516789*z^15)/241920 + 
           (1241266558562181*z^16)/35 - (710835242641547830272*z^17)/35 + 
           (49275079978623701141422080*z^18)/7 - 
           (50555121511974404537404392210432*z^19)/35 + 
           (757966653060357461314741246869110784*z^20)/5 - 
           2396343084399835147241668548406724788224*z^21)*Cf[z]^9 + 
         ((-5896685*z^8)/46656 + 267385647*z^9 - (1007388604491264*z^10)/5 + 
           (322041373868321538048*z^11)/5 - (40075963295229854858870784*z^12)/
            5)*Cf[z]^7*tS0[z] + ((-498685*z^2)/144 + 671457600*z^3)*Cf[z]^5*
          tS0[z]^2)*tS1[z] + (((-20167291*z^10)/331776 + (3213132875*z^11)/
            32 - (370349128123272*z^12)/5 + 30492917335980269568*z^13 - 
           (36370953751601430238593024*z^14)/5 + 
           (4532643203398356971274954080256*z^15)/5)*Cf[z]^8 + 
         ((86885*z^4)/10368 - 230677200*z^5 + 73383162071040*z^6)*Cf[z]^6*
          tS0[z])*tS1[z]^2 + (((3116675*z^6)/62208 + (4079807*z^7)/4 - 
           26278558239168*z^8 + 8871256294138183680*z^9)*Cf[z]^7 - 
         (5725*Cf[z]^5*tS0[z])/12)*tS1[z]^3 + ((-2915*z^2)/18 + 38843550*z^3)*
        Cf[z]^6*tS1[z]^4) + S2[z]^5*(((7153545205*z^20)/108355387392 - 
         (1393494978521*z^21)/13063680 + (89747765730271*z^22)/700 - 
         (28336161574791003456*z^23)/175 + (3630810012438047430131712*z^24)/
          25 - (2835775290488505880177966841856*z^25)/35 + 
         (986990521784178394574470965306064896*z^26)/35 - 
         (1066156557968126166650074518491294248992768*z^27)/175 + 
         (135068040211965517171162843400055943917213843456*z^28)/175 - 
         (219860871139948398296429066791526236463173554143232*z^29)/5 + 
         (4907274347664621593880193746183715130198678709485961216*z^30)/5)*
        Cf[z]^10 + ((130571683*z^14)/5225472 - (606018541631*z^15)/12096 + 
         (1358028444047148*z^16)/35 - (2555959002822591455232*z^17)/175 + 
         (438703642764244213834973184*z^18)/175 - 
         (6981303150686215301178517880832*z^19)/175 - 
         (207451235875851862422523542239182848*z^20)/5 + 
         (13353749271158887413113806109970033278976*z^21)/5)*Cf[z]^8*tS0[z] + 
       ((-43893193*z^8)/41472 + 1150076664*z^9 - 444278741916672*z^10 + 
         64758849379116908544*z^11 - 1155186015068028219162624*z^12)*Cf[z]^6*
        tS0[z]^2 + ((21395*z^2)/3 - 2827353600*z^3)*Cf[z]^4*tS0[z]^3 + 
       (((-2943167179*z^16)/4514807808 + (634381313471*z^17)/725760 - 
           (309496525463457*z^18)/175 + (408546164295388472832*z^19)/175 - 
           (277997387201241313457995776*z^20)/175 + 
           (104992543941662981524022410346496*z^21)/175 - 
           (901271115544157075231545536653819904*z^22)/7 + 
           (73375167422994707802050126711748298801152*z^23)/5 - 
           (2166486855204609814242145056569438902343958528*z^24)/5)*Cf[z]^9 + 
         ((-89383151*z^10)/248832 + (13771681133*z^11)/30 - 
           (1018294432298496*z^12)/5 + (165014129960770535424*z^13)/5 + 
           (2339472039727709319856128*z^14)/5 - 
           (2618575866158953459007468077056*z^15)/5)*Cf[z]^7*tS0[z] + 
         ((359045*z^4)/48 - 3805911360*z^5 + 443059858022400*z^6)*Cf[z]^5*
          tS0[z]^2)*tS1[z] + (((732451847*z^12)/250822656 - 
           (19989640121*z^13)/5040 + (265698542234556*z^14)/35 - 
           (236176930509614290944*z^15)/35 + (20077702427965987577659392*
             z^16)/7 - (3170459571394682122139162640384*z^17)/5 + 
           (371833999100263228488263971343695872*z^18)/5)*Cf[z]^8 + 
         ((1183061*z^6)/864 - 847178340*z^7 + 133401371046912*z^8 - 
           241127577778913280*z^9)*Cf[z]^6*tS0[z] - (20775*Cf[z]^4*tS0[z]^2)/
          4)*tS1[z]^2 + (((-5104405*z^8)/124416 + 41470082*z^9 - 
           (59868404304768*z^10)/5 - (5036832232479719424*z^11)/5 + 
           (4359762166953240598413312*z^12)/5)*Cf[z]^7 + 
         ((-9295*z^2)/16 - 79509600*z^3)*Cf[z]^5*tS0[z])*tS1[z]^3 + 
       ((10685*z^4)/48 - 133858170*z^5 + 18370984757760*z^6)*Cf[z]^6*
        tS1[z]^4 - (2925*Cf[z]^5*tS1[z]^5)/32) + 
     S2[z]^4*(((25661828125*z^22)/139314069504 - (5675161058651*z^23)/
          8294400 + (147564163245459*z^24)/140 - (6390521484198434208*z^25)/
          7 + (87478271581709573724930048*z^26)/175 - 
         (31880266392333781962356601913344*z^27)/175 + 
         (7844543936535401903271417136627580928*z^28)/175 - 
         (1280758358850029657790417921898007016505344*z^29)/175 + 
         (26123989917870642222531844406021544672327892992*z^30)/35 - 
         (1412900725657413965242671934722660257886838431154176*z^31)/35 + 
         (5030721389773065782719531035957835309936032676206084096*z^32)/5 - 
         5462197885334536980732068275973664002565602819420574449664*z^33)*
        Cf[z]^10 + ((-16884119201*z^16)/564350976 + (1045925797537*z^17)/
          15120 - (470863150431948*z^18)/7 + (6339024985759784100864*z^19)/
          175 - (2068081397294139667656474624*z^20)/175 + 
         (82978763283055286278175600934912*z^21)/35 - 
         (9747469213052783330059575316640169984*z^22)/35 + 
         16434513616809662897129154567541182431232*z^23 - 
         370259334152923815756643202586456090174554112*z^24)*Cf[z]^8*tS0[z] + 
       ((116564051*z^10)/124416 - (6383522023*z^11)/5 + 
         (3489438008635776*z^12)/5 - (950842422195797164032*z^13)/5 + 
         25042322864093428960985088*z^14 - 1108603796631285404458731700224*
          z^15)*Cf[z]^6*tS0[z]^2 + ((-17492*z^4)/3 + 3847253760*z^5 - 
         755004860006400*z^6)*Cf[z]^4*tS0[z]^3 + 
       (((-18388742405*z^18)/4514807808 + (51793426725553*z^19)/4354560 - 
           (490870650056706*z^20)/35 + (44910252078400692864*z^21)/5 - 
           (605523383583479082573299712*z^22)/175 + 
           (20523028363319804005745392877568*z^23)/25 - 
           (4015874857728847988915087301471633408*z^24)/35 + 
           (39068616876911146406266833119608068636672*z^25)/5 + 
           9450544680784475453576879767753213983326208*z^26 - 
           10259291783423870514984692319141176893592240652288*z^27)*Cf[z]^9 + 
         ((5099761987*z^12)/10450944 - (203590232297*z^13)/252 + 
           (18747063988647264*z^14)/35 - (1272913360118551461888*z^15)/7 + 
           (1151329535307745580845891584*z^16)/35 - 
           2887452362394391770565630230528*z^17 + 
           77925565791909076405483391642763264*z^18)*Cf[z]^7*tS0[z] + 
         ((-2616715*z^6)/288 + 7264551888*z^7 - 1900322755928064*z^8 + 
           158325603006802821120*z^9)*Cf[z]^5*tS0[z]^2 + 
         17200*Cf[z]^3*tS0[z]^3)*tS1[z] + 
       (((7429746977*z^14)/250822656 - (15469084868981*z^15)/241920 + 
           (9318032157227013*z^16)/175 - (113362258208206887936*z^17)/5 + 
           (185148358916618885055381504*z^18)/35 - 
           (22258250909223299218050857828352*z^19)/35 + 
           26007661802788107653825854772871168*z^20 + 
           2222034196964855574241472087046557270016*z^21)*Cf[z]^8 + 
         ((-306070025*z^8)/124416 + 2504273245*z^9 - 909392536366848*z^10 + 
           137598337677323796480*z^11 - 6942941530267685643878400*z^12)*
          Cf[z]^6*tS0[z] + ((37675*z^2)/2 - 4811400000*z^3)*Cf[z]^4*tS0[z]^2)*
        tS1[z]^2 + (((-23203549*z^10)/373248 + (5059181927*z^11)/60 - 
           (199453514515776*z^12)/5 + (43884353818028998656*z^13)/5 - 
           1062200191930491318829056*z^14 + 103647122313065940714491215872*
            z^15)*Cf[z]^7 + ((1512715*z^4)/432 - 1408831920*z^5 + 
           108588383723520*z^6)*Cf[z]^5*tS0[z])*tS1[z]^3 + 
       (((-182573*z^6)/1728 + (236518695*z^7)/2 - 40172421432960*z^8 + 
           4128534486667100160*z^9)*Cf[z]^6 + (14075*Cf[z]^4*tS0[z])/24)*
        tS1[z]^4 + ((29645*z^2)/96 - 80821800*z^3)*Cf[z]^5*tS1[z]^5) + 
     S2[z]^3*(((-390404183221*z^24)/2925595459584 + (1173225130019543*z^25)/
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         (660535910035746627024*z^27)/875 - (405607674067350446980472832*
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         (332186148936194725723426288177758250991616*z^31)/25 - 
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         (564498407434104388711761050938925469826588835900616081408*z^34)/
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           z^35)/5 - 
         (61711206559308512432519580599413787032064233528088126566208372736*
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         (10925252192383*z^19)/272160 + (1480037774874264*z^20)/35 - 
         (898571286203413469184*z^21)/35 + (1746862121477737998024966144*
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         (1700090462734823896880983736075936738574336*z^25)/35 + 
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         77516222932828963766871565937805674388616346861568*z^27)*Cf[z]^8*
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         (11581408137308256*z^14)/35 + (4054613363703976476672*z^15)/35 - 
         (853755097626216159491653632*z^16)/35 + 
         2833689998529070125492222296064*z^17 - 
         128076041908512784612633511957889024*z^18)*Cf[z]^6*tS0[z]^2 + 
       ((-45851*z^6)/36 + 1162426752*z^7 - 138005420212224*z^8 - 
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       36750*Cf[z]^2*tS0[z]^4 + (((2773948170167*z^20)/812665405440 - 
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           (1753632627733615212288*z^23)/175 + (825086885176052760882511872*
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           (7889177041054486422330549973372895232*z^26)/25 - 
           (312987333491604005040707216956852700971008*z^27)/7 + 
           (139935219372546757778396222849615370447803645952*z^28)/35 - 
           (979389555168789764799363475190426136023485894361088*z^29)/5 + 
           4068122575353017167357786192591202609429607908886183936*z^30)*
          Cf[z]^9 + ((-15524537159*z^14)/47029248 + (312010726435*z^15)/504 - 
           (85616367126416928*z^16)/175 + (37217766339376706174976*z^17)/
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           (292991884218275872971334958972928*z^19)/35 - 
           689453215182063688442710625108361216*z^20 + 
           22697677843476238108096926195169672298496*z^21)*Cf[z]^7*tS0[z] + 
         ((56958427*z^8)/10368 - (27804479748*z^9)/5 + 2253299601060864*
            z^10 - 414348961240815501312*z^11 + 27998847762342140694233088*
            z^12)*Cf[z]^5*tS0[z]^2 + ((6710*z^2)/3 + 3900441600*z^3)*Cf[z]^3*
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           (656062941779*z^17)/8640 - (13022383692159459*z^18)/175 + 
           (6992839047471988405248*z^19)/175 - (2268707345553606476515835904*
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           (11068287095060316737252123817535340544*z^22)/35 + 
           20918072956626556774235382459442906791936*z^23 - 
           494542524256621960173527774503460350923374592*z^24)*Cf[z]^8 + 
         ((846190883*z^10)/373248 - (88496568629*z^11)/30 + 
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           46479886011963055886303232*z^14 - 2182443365789516497475384377344*
            z^15)*Cf[z]^6*tS0[z] + ((-43003*z^4)/2 + 11674031040*z^5 - 
           1562378265722880*z^6)*Cf[z]^4*tS0[z]^2)*tS1[z]^2 + 
       (((2251035391*z^12)/17915904 - (75988228487*z^13)/360 + 
           138061052628120*z^14 - (228750457181869707264*z^15)/5 + 
           (40917980358312973057916928*z^16)/5 - 
           758277194116029490661928468480*z^17 + 
           31283699986782518652578116612915200*z^18)*Cf[z]^7 + 
         ((-7609295*z^6)/1296 + 4204044036*z^7 - 962748010441728*z^8 + 
           68290620068053647360*z^9)*Cf[z]^5*tS0[z] + 16925*Cf[z]^3*tS0[z]^2)*
        tS1[z]^3 + (((-71233271*z^8)/497664 + (244927899*z^9)/2 - 
           31360382713728*z^10 + 2062846762252369920*z^11 + 
           83989856670477094748160*z^12)*Cf[z]^6 + 
         ((132275*z^2)/36 - 477446400*z^3)*Cf[z]^4*tS0[z])*tS1[z]^4 + 
       ((-155645*z^4)/864 + 132546240*z^5 - 20758844436480*z^6)*Cf[z]^5*
        tS1[z]^5 + 175*Cf[z]^4*tS1[z]^6) + 
     S2[z]^2*(((47228829373*z^26)/975198486528 - (610790042582213*z^27)/
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         (2417760609750225365328*z^29)/9625 + (1424990149800143355639042048*
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         (24827972944201462160166258391860117504*z^32)/1375 - 
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         (14511474609929301020020174097744011872304576944144384*z^35)/175 + 
         (53410565896655084839567824205428755481116938833902960640*z^36)/7 - 
         (16875384541979281449413742589959978436194579114660291346956288*
           z^37)/35 + 
         18519733430488870055812407601573205416605468459402581312658210816*
          z^38 - (16208018725907416720210234248544813097276211836645540597793\
63588538368*z^39)/5)*Cf[z]^10 + ((-302434472443*z^20)/67722117120 + 
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         (336065103055071991296*z^23)/175 + (28236473288424398286618624*z^24)/
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         (16555827837914966892333416217757876224*z^26)/175 - 
         (111226728670208160390352316523439101837312*z^27)/7 + 
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         (7981617766724941349890071280775983907347884002387165184*z^30)/5)*
        Cf[z]^8*tS0[z] + ((-36205009*z^14)/870912 + (141013618831*z^15)/560 - 
         (52399987535752272*z^16)/175 + (27527891246628874297344*z^17)/175 - 
         (1532264647434579936093929472*z^18)/35 + 
         (233883898013437832717307136180224*z^19)/35 - 
         523021855862039017259546010823163904*z^20 + 
         16482457865781214574436937978445196951552*z^21)*Cf[z]^6*tS0[z]^2 + 
       ((535475*z^8)/72 - (45330634944*z^9)/5 + 3664982309437440*z^10 - 
         606364057314313371648*z^11 + 34088176485346135007821824*z^12)*
        Cf[z]^4*tS0[z]^3 + (-80850*z^2 + 20575296000*z^3)*Cf[z]^2*tS0[z]^4 + 
       (((-67362524141*z^22)/45148078080 + (67869711660461*z^23)/14515200 - 
           (4411270198195613*z^24)/700 + (615416595895394289792*z^25)/125 - 
           (314138306424531676115533824*z^26)/125 + 
           (777555868280928243220355852795904*z^27)/875 - 
           (39100464414786791064588816905140174848*z^28)/175 + 
           (7006896729611241079976815935121932756713472*z^29)/175 - 
           (175183160608995355200777995162144915323871035392*z^30)/35 + 
           414172277509889027965700831250006501915536501243904*z^31 - 
           (100527586557022839694293357619302195702009404175597699072*z^32)/
            5 + 
           (2160567433528788584137704394557653200361998728848698893139968*
             z^33)/5)*Cf[z]^9 + ((22816291555*z^16)/188116992 - 
           (1696663340587*z^17)/7560 + (4466044775655288*z^18)/25 - 
           (14456460067985924775936*z^19)/175 + (868522643192639973641158656*
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           (22773319792513916910110115047002865664*z^22)/35 - 
           49206980851969706518801006537996222070784*z^23 + 
           1594271818869824478435469495646099475378733056*z^24)*Cf[z]^7*
          tS0[z] + ((-10807789*z^10)/20736 - (932813244*z^11)/5 + 
           (1049681671667712*z^12)/5 - (115760570504559722496*z^13)/5 - 
           5914416387274353672192000*z^14 + 864677269925381787783926906880*
            z^15)*Cf[z]^5*tS0[z]^2 + ((-121690*z^4)/3 + 15055580160*z^5 - 
           938976828456960*z^6)*Cf[z]^3*tS0[z]^3)*tS1[z] + 
       (((4472141729*z^18)/250822656 - (11113188597307*z^19)/241920 + 
           (8789955953343471*z^20)/175 - (778296706057909052928*z^21)/25 + 
           (2127683215562490116399628288*z^22)/175 - 
           (77888777268114671707507541409792*z^23)/25 + 
           (18361685739768421684219946038317809664*z^24)/35 - 
           (1957143713219282833260195936983134079287296*z^25)/35 + 
           3420062900427972237667069355233589783357816832*z^26 - 
           89006926522894217726637144200939308363051444469760*z^27)*Cf[z]^8 + 
         ((-12614881151*z^12)/10450944 + (765197153639*z^13)/420 - 
           (202537973612003616*z^14)/175 + (13774204522721553924096*z^15)/
            35 - (2627126881764540651097030656*z^16)/35 + 
           7563019514840686652625845747712*z^17 - 
           311908133062398991859166874429292544*z^18)*Cf[z]^6*tS0[z] + 
         ((65693*z^6)/6 - 9454967352*z^7 + 2679454708549632*z^8 - 
           248171007359770951680*z^9)*Cf[z]^4*tS0[z]^2 - 
         19500*Cf[z]^2*tS0[z]^3)*tS1[z]^2 + 
       (((-2105826613*z^14)/20901888 + (447006957087*z^15)/2240 - 
           (5647785059955708*z^16)/35 + (12223385166328755996672*z^17)/175 - 
           (123171009310443303258292224*z^18)/7 + 
           (90675467371234950208279088726016*z^19)/35 - 
           206957888030327941794993118466015232*z^20 + 
           7032230738268670871734210665564038234112*z^21)*Cf[z]^7 + 
         ((6700861*z^8)/1296 - (26508816522*z^9)/5 + 1977179602392576*z^10 - 
           318606984967794720768*z^11 + 18612073616146629081956352*z^12)*
          Cf[z]^5*tS0[z] + ((-72985*z^2)/2 + 9349862400*z^3)*Cf[z]^3*
          tS0[z]^2)*tS1[z]^3 + 
       (((1707431*z^10)/6912 - (13146468981*z^11)/40 + 162318930187968*z^12 - 
           (188678917035502977024*z^13)/5 + 4143546726063268046045184*z^14 - 
           171615662699266352480633487360*z^15)*Cf[z]^6 + 
         ((-1124797*z^4)/144 + 3388210560*z^5 - 334295719280640*z^6)*Cf[z]^4*
          tS0[z])*tS1[z]^4 + (((-15895*z^6)/192 + 14655249*z^7 + 
           8747314156800*z^8 - 1704552220883681280*z^9)*Cf[z]^5 - 
         800*Cf[z]^3*tS0[z])*tS1[z]^5 + ((-1595*z^2)/4 + 100310400*z^3)*
        Cf[z]^4*tS1[z]^6) + S2[z]*(253433364623/210 - (12400009752711168*z)/
        5 + (5003903979661194952704*z^2)/5 + 
       ((-1079942390227*z^28)/128726200221696 + (345998257064791*z^29)/
          15519651840 - (2186060884596231427*z^30)/174636000 - 
         (1449553948846016166792*z^31)/67375 + (2899554692363784907895402496*
           z^32)/67375 - (2475867357384623606024434072682496*z^33)/67375 + 
         (1308989130177202057856364820477463494656*z^34)/67375 - 
         (9667488427511122723210506189973509560598528*z^35)/1375 + 
         (122184744264115654847802876136865341631601410310144*z^36)/67375 - 
         (130170695388476802760603577150025151557712556624707584*z^37)/385 + 
         (87336778057725651965429670172975746247552874303503667822592*z^38)/
          1925 - 
         (749251317606453643795739717707562899627575527332840487037960192*
           z^39)/175 + (47282564324611564660543609413767242037418255108572462\
075493778194432*z^40)/175 - 
         (5126675943797932075785999401559223870056943419612402600639348976543\
3344*z^41)/5 + 
         (8858816048563077892622747865465692598952244148666000462870801654429\
47383296*z^42)/5)*Cf[z]^10 + (-938144053248/5 + (762750960767336448*z)/5 + 
         ((-18011624549*z^22)/101583175680 + (59664441521399*z^23)/16329600 - 
           (989511338760661*z^24)/105 + (9547591696007679664128*z^25)/875 - 
           (6356684978905560928542130176*z^26)/875 + 
           (2697084900378927426111281936990208*z^27)/875 - 
           (152991498344918423928019012084064845824*z^28)/175 + 
           (1179273031919508142572669384354118080921600*z^29)/7 - 
           (764460969274979020761040452635581296030385176576*z^30)/35 + 
           (12790421771916538233866520263320767647142208962822144*z^31)/7 - 
           (446228815170827293979631782397534573565578780262916947968*z^32)/
            5 + 
           (9682814851972589866376558649628502531882707561148870975029248*
             z^33)/5)*Cf[z]^8)*tS0[z] + 
       (5317559746560 + ((2551903565*z^16)/15676416 - (193778724857*z^17)/
            360 + (112191430308722424*z^18)/175 - (67475956117227552755712*
             z^19)/175 + (23370953959192561223940440064*z^20)/175 - 
           (978091006961179036640714975870976*z^21)/35 + 
           (122511501991534329855207796941564936192*z^22)/35 - 
           242018974778816831103622761905822688608256*z^23 + 
           7115871053770471189065471245393822900016906240*z^24)*Cf[z]^6)*
        tS0[z]^2 + ((-5914739*z^10)/648 + (73182892032*z^11)/5 - 
         (39487558405349376*z^12)/5 + (9821691026630957334528*z^13)/5 - 
         233033358352563833602572288*z^14 + 10675123576404197289066573594624*
          z^15)*Cf[z]^4*tS0[z]^3 + ((270725*z^4)/2 - 53952998400*z^5 + 
         5631771259699200*z^6)*Cf[z]^2*tS0[z]^4 + 
       (17409666770141184/5 + ((9039992631583*z^24)/26817958379520 - 
           (1985295972807691*z^25)/2155507200 + (14331214937170669*z^26)/
            15400 - (101747656454280301728*z^27)/275 - 
           (525412235672352464445997056*z^28)/9625 + 
           (175112492969320671948209356013568*z^29)/1375 - 
           (125069118768120124961791731398885769216*z^30)/1925 + 
           (36202626650824311522782045592220135757709312*z^31)/1925 - 
           (6729269490527521324986195204631832553669751996416*z^32)/1925 + 
           (14925822560041915510171384942455795742581090699706368*z^33)/35 - 
           (1160083847384753121251632752579301875139356276956785016832*z^34)/
            35 + 
           (7486671740358296289681976393172366877089910720078099309920256*
             z^35)/5 - (15027289597347269852602215703076649795334247339698314\
2880802504704*z^36)/5)*Cf[z]^9 + ((-7952350153*z^18)/940584960 - 
           (20099287487*z^19)/700 + (2847663772589568*z^20)/35 - 
           (13216766113352027676672*z^21)/175 + (6426607406940228333021954048*
             z^22)/175 - (265764864648371902176031678660608*z^23)/25 + 
           (66598162623187706231764971601262542848*z^24)/35 - 
           (7247423021752916551552004252879186231820288*z^25)/35 + 
           (62870213833545799468225948179307847292114960384*z^26)/5 - 
           (1637895713767837865843594372164783893642529694810112*z^27)/5)*
          Cf[z]^7*tS0[z] + ((-501118411*z^12)/217728 + (187620529679*z^13)/
            35 - (719041699179785088*z^14)/175 + (10473487021083812364288*
             z^15)/7 - (1993350076778003394497347584*z^16)/7 + 
           27373693764626176954802947227648*z^17 - 
           1049023487869249702401514565976195072*z^18)*Cf[z]^5*tS0[z]^2 + 
         ((533815*z^6)/6 - 69591712896*z^7 + 16702102578954240*z^8 - 
           1249230197432915066880*z^9)*Cf[z]^3*tS0[z]^3 - 
         441000*Cf[z]*tS0[z]^4)*tS1[z] + 
       (((-365732527501*z^20)/67722117120 + (24980073190993*z^21)/1814400 - 
           (205655241972849*z^22)/14 + (7783502501939544419328*z^23)/875 - 
           (3029966328983323483948843008*z^24)/875 + 
           (161616921688333976537030499237888*z^25)/175 - 
           (30419686861482378387739641265067655168*z^26)/175 + 
           (161507647391733368621781858845797449203712*z^27)/7 - 
           (14512482632710002267913472555243830584696373248*z^28)/7 + 
           (567361576394179881832819887126752918447092282687488*z^29)/5 - 
           (14023966530524418357218855552149707860344361755305050112*z^30)/5)*
          Cf[z]^8 + ((3979934269*z^14)/15676416 - (617623860253*z^15)/2520 + 
           (432234344028960*z^16)/7 + (55165629402819035136*z^17)/7 - 
           (211303765889403921767596032*z^18)/35 + 
           (33931009351477512643115237769216*z^19)/35 - 
           53019247699984719908583417688621056*z^20 + 
           204002376125071557922518629648229728256*z^21)*Cf[z]^6*tS0[z] + 
         ((4278515*z^8)/576 - (49986380232*z^9)/5 + 3770231146260480*z^10 - 
           543872856828174925824*z^11 + 26048781781183779676618752*z^12)*
          Cf[z]^4*tS0[z]^2 + (-174020*z^2 + 27097804800*z^3)*Cf[z]^2*
          tS0[z]^3)*tS1[z]^2 + 
       (((4075767527*z^16)/94058496 - (2848374257707*z^17)/30240 + 
           (15058397520291834*z^18)/175 - (7686547509936156300288*z^19)/175 + 
           (483138330535456724974436352*z^20)/35 - 
           (95995246960821807756773783764992*z^21)/35 + 
           (11784904288109794206502479211630952448*z^22)/35 - 
           23341392543914266694164079768623235727360*z^23 + 
           701293626102322138019845249095576602328170496*z^24)*Cf[z]^7 + 
         ((-137506447*z^10)/62208 + (13086201961*z^11)/5 - 
           (6431840264947968*z^12)/5 + (1602412223957066317824*z^13)/5 - 
           39845380685632020330577920*z^14 + 1955765287100733358605714063360*
            z^15)*Cf[z]^5*tS0[z] + ((118865*z^4)/12 - 7303219200*z^5 + 
           1130533674024960*z^6)*Cf[z]^3*tS0[z]^2)*tS1[z]^3 + 
       (((-1223856281*z^12)/6967296 + (12176004769*z^13)/42 - 
           (33075406760235192*z^14)/175 + (441676308715271147520*z^15)/7 - 
           (401019452072470729805266944*z^16)/35 + 
           1077294351851902655166387585024*z^17 - 
           41071069359681609259512268528287744*z^18)*Cf[z]^6 + 
         ((117659*z^6)/16 - 5391649152*z^7 + 1265088813613056*z^8 - 
           94798119829965373440*z^9)*Cf[z]^4*tS0[z] - 34800*Cf[z]^2*tS0[z]^2)*
        tS1[z]^4 + (((12193417*z^8)/41472 - (1465676352*z^9)/5 + 
           99615052039680*z^10 - 13969219087545532416*z^11 + 
           684824098182143366135808*z^12)*Cf[z]^5 + 
         ((-20900*z^2)/3 + 1082419200*z^3)*Cf[z]^3*tS0[z])*tS1[z]^5 + 
       ((103*z^4)/36 - 44737920*z^5 + 9326302986240*z^6)*Cf[z]^4*tS1[z]^6 - 
       200*Cf[z]^3*tS1[z]^7)
 
Ff[7] = 3354392900059003991759/184454655764553164390400 - 
     (2498647642020628051*z)/767968808140800 - (94157752016728313129*z^2)/
      22067004960 + (91507359890656501408*z^3)/14175 - 
     (121384685400409939009536*z^4)/25 + (60101451116346735622562512896*z^5)/
      35 - (8025656223633954925691194916732928*z^6)/35 + 
     ((-300772930315307626987*z^36)/16768605069504833126400 + 
       (28839099072056969605849*z^37)/658917237384806400 - 
       (4910907164109336524347*z^38)/100877736960 + 
       (11403479677258569475397*z^39)/350350 - 
       (2542409453240269816481782272*z^40)/175175 + 
       (158409420938045320152038682820608*z^41)/35035 - 
       (13482681097472292125567279277639991296*z^42)/13475 + 
       (5477534288898971084254231767977655206412288*z^43)/35035 - 
       (418788855338849153259341835237696373320635645952*z^44)/25025 + 
       (201330779379949086972241577206402376919701403916566528*z^45)/175175 - 
       (604558137355900213324271409600637599166926404405157691392*z^46)/
        13475 + 
       (149876892744839124058094920014049528160036620200535587526017024*z^47)/
        175175)*Cf[z]^12 + ((-4555375*z^2)/12288 + (2339075475*z^3)/8)*
      Cf[z]^12*S2[z]^17 + (19675*Cf[z]^12*S2[z]^18)/96 + 
     (-975199921744675733/42697836982535454720 - (32260560507384332153*z)/
        41598310440960 + (306337325318714203*z^2)/204120 - 
       (29578611443563008256*z^3)/21 + (4229535976005494765518848*z^4)/7 - 
       (3307687375473775449389943226368*z^5)/35 + 
       ((3537298674646966421*z^30)/42697836982535454720 - 
         (1987747490621946271*z^31)/108947955916800 - 
         (1553209268732318596229*z^32)/12259447200 + 
         (10154912851755501702856*z^33)/75075 - (1969171098712883360878712832*
           z^34)/35035 + (924373640316461388077396015972352*z^35)/175175 + 
         (177354733652272883265406838628012785664*z^36)/35035 - 
         (470654238405421239106698595236486854026985472*z^37)/175175 + 
         (3451218962791495499854572392584586191064379949056*z^38)/5005 - 
         (19218546869784770420997988560491209008735658593025523712*z^39)/
          175175 + 
         (13874671116073189781409653299537689739951255591303866482688*z^40)/
          1225 - 
         (18622547667796854275560431746933821056740274224048175084208128*
           z^41)/25 + (501067902080917793726681269904026100836046648325846159\
4656373211136*z^42)/175 - 
         (1232524612845721705054336555289637061313898142529843265503213910805\
7088*z^43)/25)*Cf[z]^10)*tS0[z] + (-161164895314898263/5068594133729280 + 
       (1971798829051903*z)/17635968 - (141714715416684344*z^2)/945 + 
       83573729126316638208*z^3 - (79983528143675676193456128*z^4)/5 + 
       ((50955331357769*z^24)/9403699691520 - (39011243948292289*z^25)/
          5658206400 - (3413754421878617*z^26)/330750 + 
         (306677117842961828064768*z^27)/67375 - 
         (237990529106625497233238949888*z^28)/67375 + 
         (13204948322144627426669629689298944*z^29)/9625 - 
         (21613054645378792091805743184339384926208*z^30)/67375 + 
         (634283910132525626455987417705294125896564736*z^31)/13475 - 
         (744101636898633223925314425498058043855657238528*z^32)/175 + 
         (37969323394528202159529785329908766804879430840745984*z^33)/175 - 
         (120176297393855719888837785419995369881107068510940430336*z^34)/25)*
        Cf[z]^8)*tS0[z]^2 + (82080821044375/30474952704 - 
       (11828466128855*z)/1701 + 5683447551731712*z^2 - 
       1423628207095793319936*z^3 + ((2393677838441*z^18)/30474952704 - 
         (15595805793331*z^19)/45360 + (63080474034388824*z^20)/175 - 
         (21815973051506156537856*z^21)/125 + (1606689741131179282195808256*
           z^22)/35 - (1183872113695288314102417633312768*z^23)/175 + 
         (2620756209344634450629449531917336576*z^24)/5 - 
         (83293288197669215745441994094438736986112*z^25)/5)*Cf[z]^6)*
      tS0[z]^3 + (-8301517547/69984 + (570358382144*z)/3 - 
       70262661406851072*z^2 + ((-109867015*z^12)/17496 + 
         (35131290964*z^13)/5 - (67641219103131648*z^14)/25 + 
         434314041083902033920*z^15 - (122392128276734164680572928*z^16)/5)*
        Cf[z]^4)*tS0[z]^4 + (45066185/18 - 1823618396160*z + 
       ((958855*z^6)/18 - 12965837184*z^7)*Cf[z]^2)*tS0[z]^5 - 
     19447200*tS0[z]^6 + (-9356235648703427843/915162829701120 + 
       (2614104768155659*z)/102060 - (1047559476491399552*z^2)/35 + 
       (122937104517916611575808*z^3)/7 - (121847321208820100870348734464*
         z^4)/35 + ((-52464943833745099*z^32)/3162802739447070720 + 
         (1099021002260097773*z^33)/18676792442880 - 
         (1090557228669954213533*z^34)/24518894400 - 
         (149043703735577828108864*z^35)/1576575 + 
         (44099647074311726969766614016*z^36)/175175 - 
         (203930622033408836097481226059776*z^37)/715 + 
         (35421462299682592175749601813706905223168*z^38)/175175 - 
         (3496258281498272418630996728358937069011075072*z^39)/35035 + 
         (899462589339827084750140570946059356511426496692224*z^40)/25025 - 
         (338691845170910292589592579982580179243106367149977894912*z^41)/
          35035 + 
         (343138533772084920804527464740942508517876274012510788870209536*
           z^42)/175175 - (52253857988459155363366656610408464668820972719706\
360512934920060928*z^43)/175175 + 
         (5360971759941883962468285495295863999918532841049359845562511636163\
46112*z^44)/15925 - 
         (4783974309801856932145875942070246018195206715272777099302401155831\
81914112*z^45)/175 + (1058150914750556471796267416211154168695092621675616177\
726664772935633984290816*z^46)/7 - (35697485527567738380499933878663637368616\
690137942832241917200330104379525832900608*z^47)/7 + 
         (5547710292941493926200741603535365206781017147645194356758861406368\
94586226840591925248*z^48)/7)*Cf[z]^11 + (625200596069309/352719360 - 
         (4266968468446888*z)/945 + (19221467813389688832*z^2)/5 - 
         (4985095498525333323251712*z^3)/5 + 
         ((-700019383127*z^26)/2844328919040 + (15528293135074183*z^27)/
            1357969536 - (42919768961815801981*z^28)/1039500 + 
           (179113355194797794254752*z^29)/2695 - 
           (838646407729452407416060870656*z^30)/13475 + 
           (510333439843883695485915699307610112*z^31)/13475 - 
           (213598461035058215273645861907296302399488*z^32)/13475 + 
           (316683758831681615492905011840684493251821961216*z^33)/67375 - 
           (13458673597106286954370246294514742289356127897387008*z^34)/
            13475 + 
           (2040706652894231625099087901023202772852782844446746083328*z^35)/
            13475 - 
           (112163374711514720000419977553333495755098595683067462942720*
             z^36)/7 + (19695182409103599324961102515135315099480916341725254\
4581617057792*z^37)/175 - 
           (23602928476241809494876520758755520760197892874092360696230336213\
8112*z^38)/5 + 
           (44783845220638585479086279925365116753108974726685729370083094250\
68310528*z^39)/5)*Cf[z]^9)*tS0[z] + (-2258362473937/13608 + 
         274589761308672*z - 104328375495158661120*z^2 + 
         ((20189521243*z^20)/35271936 - (728453460281923*z^21)/272160 + 
           (822191951761777356*z^22)/175 - (3784320831265843608419328*z^23)/
            875 + (2088687277507889618909816684544*z^24)/875 - 
           (147578834534400670391300790536896512*z^25)/175 + 
           (34310136010382459390704050224360425783296*z^26)/175 - 
           (1047926765382691358677697108993823118221901824*z^27)/35 + 
           (14486159304839906373798686778357515662557324509184*z^28)/5 - 
           161360072632229276091472671027498488110390648579817472*z^29 + 
           3945729778024310345196387998976042955108493867412243873792*z^30)*
          Cf[z]^7)*tS0[z]^2 + (19146046688/3 - 4749440156172288*z + 
         ((-17123911333*z^14)/326592 + 139045787056*z^15 - 
           (3451670073728954496*z^16)/25 + (11978511989182720528416768*z^17)/
            175 - (660087594396090578778766442496*z^18)/35 + 
           (103186391370391582981570996400553984*z^19)/35 - 
           245417287737919785553269620657079975936*z^20 + 
           8469471015697176591646858784627770206978048*z^21)*Cf[z]^5)*
        tS0[z]^3 + (-79493944320 + ((20137505*z^8)/12 - 2218939138080*z^9 + 
           907531767550992384*z^10 - 150563349539348105134080*z^11 + 
           8869071882677887460588912640*z^12)*Cf[z]^3)*tS0[z]^4 + 
       (-17826600*z^2 + 3629314252800*z^3)*Cf[z]*tS0[z]^5)*tS1[z] + 
     (-4109348843419/210 + (162085750379495424*z)/5 - 
       (67261009467698017468416*z^2)/5 + 
       ((822465716894419*z^28)/1930893003325440 - (1107215408124769189*z^29)/
          724250419200 + (17703871919099318669*z^30)/8731800 - 
         (547885671985458780240*z^31)/539 - (22312073391890951778100273152*
           z^32)/67375 + (4898316042822880759628214023749632*z^33)/6125 - 
         (37727174837507050495291726994702296154112*z^34)/67375 + 
         (2254887716290634711706839626313294496216907776*z^35)/9625 - 
         (4466479037068277141069290711641597229655723807342592*z^36)/67375 + 
         (177927170117997499523682733345034736575165677065027452928*z^37)/
          13475 - 
         (25113942936536231436316886468382618768797398869808861604216832*
           z^38)/13475 + 
         (4579589576658195691110708132079545840972650377424795108080877568*
           z^39)/25 - (209186881790682017548570807519908009468794270720822246\
0888065247281152*z^40)/175 + 
         46640539663897130650424558927588333042144131050300490774028758942325\
1456*z^41 - 
         82481459914859801967688109893468300371713756199599621131965914050296\
85985280*z^42)*Cf[z]^10 + (2329691912064 - 1743335737418317824*z + 
         ((-290865992023*z^22)/8465264640 + (63147451223621*z^23)/16329600 + 
           (58060816737533003*z^24)/350 - (244103137550205991099776*z^25)/
            875 + (38469883114306819281233608704*z^26)/175 - 
           (90164306491467790396124622577729536*z^27)/875 + 
           (780995231597160244886983278132908261376*z^28)/25 - 
           (1105113940013687186234051415995025032705212416*z^29)/175 + 
           (5941928019372991920682903504419512356637849419776*z^30)/7 - 
           (365347254446657332946549238705636804115413097978527744*z^31)/5 + 
           (18264198935890133400864658595622471174840920458013681123328*z^32)/
            5 - 
           (403939297215732111892938397071948703370247009408383935360008192*
             z^33)/5)*Cf[z]^8)*tS0[z] + 
       (-60692191100928 + ((-16185571289*z^16)/5225472 + (2416970735189*z^17)/
            168 - (3499148589163333992*z^18)/175 + 
           (327491466060559692976128*z^19)/25 - 
           (837094567291819841093726896128*z^20)/175 + 
           (36258071487030139117526691172319232*z^21)/35 - 
           (929390160839390816138183689766348783616*z^22)/7 + 
           9328818932728144103908295202217351930970112*z^23 - 
           277512562245471680725912547729902827290039943168*z^24)*Cf[z]^6)*
        tS0[z]^2 + ((61627127*z^10)/216 - (2558428889988*z^11)/5 + 
         (1451573411866850304*z^12)/5 - (369819536152612162240512*z^13)/5 + 
         8840417333416055804874719232*z^14 - 
         404655800628313565286245949505536*z^15)*Cf[z]^4*tS0[z]^3 + 
       ((-10303345*z^4)/2 + 2123859502080*z^5 - 213054399633162240*z^6)*
        Cf[z]^2*tS0[z]^4)*tS1[z]^2 + 
     (6767568100786176 + ((-44846951508935*z^24)/8045387513856 + 
         (86900097504249727*z^25)/4311014400 - (175822669640416706*z^26)/
          5775 + (10037283380482314980448*z^27)/385 - 
         (138557041881900504316368666624*z^28)/9625 + 
         (52807591747213218306148352472907776*z^29)/9625 - 
         (14422750277658327319664660522819464986624*z^30)/9625 + 
         (574454987914248842437779462386266967120019456*z^31)/1925 - 
         (83414717160412791221558345886899071207034905952256*z^32)/1925 + 
         (157427400576925329956176434311699341860267824347348992*z^33)/35 - 
         (11116200871732053657561131096474935638811578754923252154368*z^34)/
          35 + 13720579071007732941618532947129517141393564978198412468944896*
          z^35 - 
         (1367933310409716623766159785699619447470429799805317730360369348608*
           z^36)/5)*Cf[z]^9 + ((61834728547*z^18)/94058496 - 
         (10640086146283*z^19)/7560 + (43349821922484384*z^20)/35 - 
         (77311792906959940886016*z^21)/125 + (998697958091479688431140864*
           z^22)/5 - (7754156704165669470109681588371456*z^23)/175 + 
         (34186482008272947596162326308725981184*z^24)/5 - 
         707380858134506560759482977637925851758592*z^25 + 
         44064371086767647158577560794075668282930626560*z^26 - 
         1241672204471420464625283032875475455151126070951936*z^27)*Cf[z]^7*
        tS0[z] + ((-2027799311*z^12)/163296 + (716795864469*z^13)/70 - 
         (835564377086037504*z^14)/175 + (11991321606179523723264*z^15)/7 - 
         (2823593616401068426317004800*z^16)/7 + 
         50467445184445840080697131270144*z^17 - 
         2503614053853852083954286168392073216*z^18)*Cf[z]^5*tS0[z]^2 + 
       ((-3285025*z^6)/36 - 63504670464*z^7 + 35927202305802240*z^8 - 
         3947182633524186316800*z^9)*Cf[z]^3*tS0[z]^3 - 
       3309600*Cf[z]*tS0[z]^4)*tS1[z]^3 + 
     (((592602160513*z^20)/15049359360 - (5692716348258389*z^21)/43545600 + 
         (125778931264269517*z^22)/700 - (121097655733628853186048*z^23)/
          875 + (58644263011555333292997869568*z^24)/875 - 
         (3761419123714090660579303445495808*z^25)/175 + 
         (813545841528638949090726180858233880576*z^26)/175 - 
         (23535009774848409953803914730240372912422912*z^27)/35 + 
         (2186127960963039034533770674377840906607049834496*z^28)/35 - 
         (16863163984057500541267221455906653107054327405477888*z^29)/5 + 
         80664826112448172632978741638764078039048917967014199296*z^30)*
        Cf[z]^8 + ((-6437466167*z^14)/1306368 + (51203473921291*z^15)/5040 - 
         (1504928336450059152*z^16)/175 + (96511031737041512337408*z^17)/25 - 
         (6989291744247030087879229440*z^18)/7 + 
         (5243218562936351905924896799064064*z^19)/35 - 
         12141784361036390451859846796842893312*z^20 + 
         411924105045192549299901887549740368789504*z^21)*Cf[z]^6*tS0[z] + 
       ((547293545*z^8)/3456 - (940577919408*z^9)/5 + 73713058996948992*
          z^10 - 11991782630579068993536*z^11 + 700450683618858920709193728*
          z^12)*Cf[z]^4*tS0[z]^2 + (-2012560*z^2 + 406691020800*z^3)*Cf[z]^2*
        tS0[z]^3)*tS1[z]^4 + 
     (((-16746890885*z^16)/125411328 + (1549572817601*z^17)/4032 - 
         (74060974193144616*z^18)/175 + (42478515614190916767744*z^19)/175 - 
         (570221044217055953395384320*z^20)/7 + 
         (583004990256666518309496252530688*z^21)/35 - 
         (71714634848326515116690512128239468544*z^22)/35 + 
         139644015345135561566682162493556892106752*z^23 - 
         4053069820067413040222156832463705487846670336*z^24)*Cf[z]^7 + 
       ((326514991*z^10)/20736 - (233278062293*z^11)/10 + 
         12188380619650176*z^12 - (14837158843531288510464*z^13)/5 + 
         344817541975128423901691904*z^14 - 15489291941407063392749359202304*
          z^15)*Cf[z]^5*tS0[z] + (-353580*z^4 + 144240445440*z^5 - 
         14340990314741760*z^6)*Cf[z]^3*tS0[z]^2)*tS1[z]^5 + 
     (((2666255089*z^12)/62705664 - (37615934129*z^13)/210 + 
         (24494773984372296*z^14)/175 - (1629936554150862065664*z^15)/35 + 
         (268297254533831165062152192*z^16)/35 - 
         605847905866440579470812250112*z^17 + 
         17764463306877307702916407351050240*z^18)*Cf[z]^6 + 
       ((-364969*z^6)/36 + 4428046800*z^7 - 506100038823936*z^8 + 
         5035367728152576000*z^9)*Cf[z]^4*tS0[z] - 105200*Cf[z]^2*tS0[z]^2)*
      tS1[z]^6 + (((10254499*z^8)/10368 - (5482769496*z^9)/5 + 
         417308986561536*z^10 - 67026922901379219456*z^11 + 
         3896844812635697735270400*z^12)*Cf[z]^5 + 
       (-31790*z^2 + 6363878400*z^3)*Cf[z]^3*tS0[z])*tS1[z]^7 + 
     ((-136859*z^4)/72 + 765469440*z^5 - 75316668825600*z^6)*Cf[z]^4*
      tS1[z]^8 - (1000*Cf[z]^3*tS1[z]^9)/3 + 
     S2[z]^16*(((79115*z^4)/27648 - (5607551295*z^5)/16 + 
         185019551248320*z^6)*Cf[z]^12 + (1706975*Cf[z]^11*tS1[z])/768) + 
     S2[z]^15*(((548767285*z^6)/1327104 - (2144915145*z^7)/8 - 
         101505417332400*z^8 + 67748725310331064320*z^9)*Cf[z]^12 - 
       (346825*Cf[z]^10*tS0[z])/1536 + ((-75908525*z^2)/18432 + 
         (11643772275*z^3)/4)*Cf[z]^11*tS1[z]) + 
     S2[z]^14*(((-3308646325*z^8)/11943936 + (17890435795*z^9)/32 - 
         291377200299372*z^10 + 11968515192859997184*z^11 + 
         15579699493801836926730240*z^12)*Cf[z]^12 + 
       ((242605*z^2)/768 - (528579675*z^3)/2)*Cf[z]^10*tS0[z] + 
       ((190319315*z^4)/165888 - (15324217245*z^5)/4 + 1688043019783680*z^6)*
        Cf[z]^11*tS1[z] + (81517775*Cf[z]^10*tS1[z]^2)/9216) + 
     S2[z]^13*(((-920546255*z^10)/15925248 - (48647644489*z^11)/384 + 
         258314857104330*z^12 - 131307754793365168128*z^13 + 
         16458705484564096029818880*z^14 + 2235241836700338812992496861184*
          z^15)*Cf[z]^12 + ((11771975*z^4)/55296 + 164083455*z^5 - 
         129721362624000*z^6)*Cf[z]^10*tS0[z] + 
       (((1733473505*z^6)/663552 - (14647798011*z^7)/16 - 1276851122400672*
            z^8 + 566324744085290188800*z^9)*Cf[z]^11 - 
         (283975*Cf[z]^9*tS0[z])/128)*tS1[z] + 
       ((-37827845*z^2)/2304 + (20977869375*z^3)/2)*Cf[z]^10*tS1[z]^2) + 
     S2[z]^12*(((553519036291*z^12)/3869835264 - (1544808000481*z^13)/6912 + 
         81382259057058*z^14 + 35389259249654919168*z^15 - 
         29917143366611741043130368*z^16 + 5169619727620708154903422304256*
          z^17 + 170486120162692345415493656594350080*z^18)*Cf[z]^12 + 
       ((-191133385*z^6)/248832 + (5218051875*z^7)/8 - 74274308653824*z^8 - 
         30647843989321973760*z^9)*Cf[z]^10*tS0[z] + 
       (2734325*Cf[z]^8*tS0[z]^2)/1152 + 
       (((-43667329045*z^8)/17915904 + (244518200555*z^9)/64 - 
           1577626730399772*z^10 - 82802577714333345792*z^11 + 
           119652523264150920335720448*z^12)*Cf[z]^11 + 
         ((16318885*z^2)/3456 - 2595262950*z^3)*Cf[z]^9*tS0[z])*tS1[z] + 
       ((7959986665*z^4)/995328 - (58544105865*z^5)/4 + 5493855707061120*z^6)*
        Cf[z]^10*tS1[z]^2 + (82812175*Cf[z]^9*tS1[z]^3)/5184) + 
     S2[z]^11*(((-917853797501*z^14)/15479341056 + (5463861343909*z^15)/
          32256 - (12268510255101609*z^16)/70 + (400948387044312127104*z^17)/
          5 - (82093240636780007734345728*z^18)/7 - 
         (13299984197072370992921274482688*z^19)/5 + 
         (4242593570621031573045282948350214144*z^20)/5 - 
         (1150363777429847914355380254101999714304*z^21)/5)*Cf[z]^12 + 
       ((11561603405*z^8)/17915904 - (50312571827*z^9)/48 + 
         556909765688592*z^10 - 95009260166025043968*z^11 - 
         1390964911953667487170560*z^12)*Cf[z]^10*tS0[z] + 
       ((-12736405*z^2)/3456 + 2397084300*z^3)*Cf[z]^8*tS0[z]^2 + 
       (((11363478085*z^10)/23887872 - (1090056338657*z^11)/576 + 
           1971157967325144*z^12 - 769614911268988262400*z^13 + 
           69228178395795642887700480*z^14 + 15916604382362579818281210740736*
            z^15)*Cf[z]^11 + ((-48078415*z^4)/15552 + 4245253845*z^5 - 
           1330183116633600*z^6)*Cf[z]^9*tS0[z])*tS1[z] + 
       (((449833135*z^6)/124416 + (17586714999*z^7)/8 - 5125480718968512*
            z^8 + 1665546246491047280640*z^9)*Cf[z]^10 - 
         (15311725*Cf[z]^8*tS0[z])/3456)*tS1[z]^2 + 
       ((-1186037215*z^2)/41472 + 16776923625*z^3)*Cf[z]^9*tS1[z]^3) + 
     S2[z]^10*(((-1802526179275*z^16)/975198486528 - (676565998434749*z^17)/
          26127360 + (8792197710412299*z^18)/140 - 
         (2044028793702200814144*z^19)/35 + (189815191244890653599760384*
           z^20)/7 - (213357436649039279422025207119872*z^21)/35 + 
         (12520934922497729928176358401438121984*z^22)/35 + 
         68683490869206388939240085889044598226944*z^23 - 
         (6181727941725908474937051367189711947439276032*z^24)/5)*Cf[z]^12 + 
       ((-3126608693*z^10)/26873856 + (22007731967*z^11)/48 - 
         (2480760156445128*z^12)/5 + (1100497709303126304768*z^13)/5 - 
         38473513232578201939083264*z^14 + 1239765932440535079104670597120*
          z^15)*Cf[z]^10*tS0[z] + ((44924915*z^4)/124416 - 2306814180*z^5 + 
         1018232336770560*z^6)*Cf[z]^8*tS0[z]^2 + 
       (((5501935218865*z^12)/13544423424 - (804447454351*z^13)/2688 - 
           (11408311818750114*z^14)/35 + (3202558639167756754944*z^15)/7 - 
           (6640962722015853149700489216*z^16)/35 + 
           (127464651387278665376484802166784*z^17)/5 + 
           (5792269771772720458753665360180805632*z^18)/5)*Cf[z]^11 + 
         ((-27715085*z^6)/23328 - (5826739811*z^7)/8 + 1358695074708000*z^8 - 
           378244324132220436480*z^9)*Cf[z]^9*tS0[z] + 
         (603425*Cf[z]^7*tS0[z]^2)/54)*tS1[z] + 
       (((-197402297825*z^8)/35831808 + (1303605318943*z^9)/192 - 
           1707433790910372*z^10 - 756348413300276484096*z^11 + 
           320216777611318415843131392*z^12)*Cf[z]^10 + 
         ((117161165*z^2)/10368 - 4948904250*z^3)*Cf[z]^8*tS0[z])*tS1[z]^2 + 
       ((13056803555*z^4)/746496 - 23490133945*z^5 + 7740187509139200*z^6)*
        Cf[z]^9*tS1[z]^3 + (539493475*Cf[z]^8*tS1[z]^4)/41472) + 
     S2[z]^9*(((67485845332145*z^18)/5851190919168 - (210595385980999*z^19)/
          8709120 + (4489300049449057*z^20)/280 + 
         (202878732804255949824*z^21)/175 - (1283033465822994045344907264*
           z^22)/175 + (152080111679487352323513507643392*z^23)/35 - 
         (206375534192771464539246071621074550784*z^24)/175 + 
         (23964104164994229335489916481657634631450624*z^25)/175 - 
         (20467777844853852727936384331132895694682062848*z^26)/35 - 
         (1812272198274548925534581098088564860924171665801216*z^27)/35)*
        Cf[z]^12 + ((-3236757552407*z^12)/13544423424 + (19618877645*z^13)/
          63 - (2978415358240824*z^14)/35 - (1922721749317380814848*z^15)/
          35 + (1360602971873917224866021376*z^16)/35 - 
         (39107681469412678664951018029056*z^17)/5 + 
         (1862129140407327394760101050873544704*z^18)/5)*Cf[z]^10*tS0[z] + 
       ((94874255*z^6)/23328 - (10636234923*z^7)/4 - 30500922879936*z^8 + 
         208693940656147660800*z^9)*Cf[z]^8*tS0[z]^2 - 
       (5963525*Cf[z]^6*tS0[z]^3)/432 + 
       (((-51144409956289*z^14)/162533081088 + (161093714457097*z^15)/
            241920 - (3570620752718175*z^16)/7 + (4784604572960484970752*
             z^17)/35 + (960398986275923945454895104*z^18)/35 - 
           (854580843998782030004363980701696*z^19)/35 + 
           (21821724203801240556905434923455741952*z^20)/5 + 
           (21599054996153472785142268935755230347264*z^21)/5)*Cf[z]^11 + 
         ((17172239965*z^8)/4478976 - (33514928135*z^9)/8 + 
           1293461250978528*z^10 + 43210439708397355008*z^11 - 
           58612872774186504252555264*z^12)*Cf[z]^9*tS0[z] + 
         ((-148682215*z^2)/5184 + 11817419400*z^3)*Cf[z]^7*tS0[z]^2)*tS1[z] + 
       (((15680125151*z^10)/6718464 - (120765736739*z^11)/24 + 
           3833253436328928*z^12 - 1147874444806803618816*z^13 + 
           24711818070581219434954752*z^14 + 39695794937136692810031380299776*
            z^15)*Cf[z]^10 + ((-1756210685*z^4)/124416 + 11288895840*z^5 - 
           2494857544473600*z^6)*Cf[z]^8*tS0[z])*tS1[z]^2 + 
       (((-248503025*z^6)/139968 + (146050079259*z^7)/16 - 
           7942601727501840*z^8 + 2060492985918772346880*z^9)*Cf[z]^9 - 
         (4445825*Cf[z]^7*tS0[z])/2592)*tS1[z]^3 + 
       ((-2706146245*z^2)/124416 + 11782601550*z^3)*Cf[z]^8*tS1[z]^4) + 
     S2[z]^8*(((-23240566385255*z^20)/3900793946112 + (977513594058391*z^21)/
          52254720 - (4296306661176363*z^22)/175 + 
         (3040551604165383401472*z^23)/175 - (172305259380082520409157632*
           z^24)/25 + (31568477879033756348852578811904*z^25)/25 + 
         (15394569574754636052440895110158221312*z^26)/175 - 
         (16169669731254744561424909663358404716920832*z^27)/175 + 
         (2889553760784269613579172275614883404508133588992*z^28)/175 - 
         (23628992243456273927937847289892483174114430292066304*z^29)/35 + 
         (49947291758797729536408312533990255055373284320609304576*z^30)/5)*
        Cf[z]^12 + ((205776093595*z^14)/752467968 - (34183445481461*z^15)/
          60480 + (16607010337034076*z^16)/35 - (1402656263174875078656*z^17)/
          7 + (1410060784655850015329353728*z^18)/35 - 
         (55802542865456275229918223138816*z^19)/35 - 
         (2917448552813307110143729798716850176*z^20)/5 + 
         (223100410023225212144413342674604548685824*z^21)/5)*Cf[z]^10*
        tS0[z] + ((-7366482221*z^8)/1492992 + 6225343600*z^9 - 
         2721589549693632*z^10 + 393753591393446707200*z^11 + 
         9538577207642878151491584*z^12)*Cf[z]^8*tS0[z]^2 + 
       ((2976545*z^2)/144 - 11235639600*z^3)*Cf[z]^6*tS0[z]^3 + 
       (((5965712238163*z^16)/54177693696 - (954562184930173*z^17)/2903040 + 
           (55324895577842763*z^18)/140 - (1734831527102451091584*z^19)/7 + 
           (14681740801880895422243733504*z^20)/175 - 
           (2170105290190065486238045987405824*z^21)/175 - 
           (23487171649496828625328558871093968896*z^22)/35 + 
           (13984008124991420647235588450191822861369344*z^23)/35 - 
           (261763425195795668866530306004861425235947159552*z^24)/35)*
          Cf[z]^11 + ((-16656306665*z^10)/4478976 + (140169845407*z^11)/24 - 
           3560628274861968*z^12 + (4999253188726899560448*z^13)/5 - 
           (525276572398002376947007488*z^14)/5 - 
           2186511093565028054985168912384*z^15)*Cf[z]^9*tS0[z] + 
         ((114167255*z^4)/3456 - 25942629240*z^5 + 5489015253903360*z^6)*
          Cf[z]^7*tS0[z]^2)*tS1[z] + 
       (((-1087290293905*z^12)/3009871872 + (11482553198119*z^13)/8064 - 
           (12685840008114312*z^14)/7 + (37788161674486628100096*z^15)/35 - 
           (10923850096134466253527056384*z^16)/35 + 
           (152415048379912498702439128498176*z^17)/5 + 
           (14655924283548334628021081944916754432*z^18)/5)*Cf[z]^10 + 
         ((523456975*z^6)/41472 - (107689125111*z^7)/8 + 5218388090212896*
            z^8 - 762014522372202823680*z^9)*Cf[z]^8*tS0[z] - 
         (872725*Cf[z]^6*tS0[z]^2)/96)*tS1[z]^2 + 
       (((-4424935565*z^8)/1492992 + (63925448849*z^9)/32 + 
           1179885297097512*z^10 - 1380273307488845512704*z^11 + 
           349417240800679219295158272*z^12)*Cf[z]^9 + 
         ((-825385*z^2)/864 - 798222600*z^3)*Cf[z]^7*tS0[z])*tS1[z]^3 + 
       ((2406375035*z^4)/165888 - 15802110990*z^5 + 4635839551276800*z^6)*
        Cf[z]^8*tS1[z]^4 + (651875*Cf[z]^7*tS1[z]^5)/192) + 
     S2[z]^7*(((6048023753125*z^22)/2925595459584 - (14706931965486437*z^23)/
          1881169920 + (18435777320551441*z^24)/1440 - 
         (84402572695375929480*z^25)/7 + (1265629873258356914688989184*z^26)/
          175 - (500685003608184631141448407842816*z^27)/175 + 
         (129077043175291038766272188401846321152*z^28)/175 - 
         (20020445803012568244671683395918145637056512*z^29)/175 + 
         (1357836879395215688270570786692187696954936918016*z^30)/175 + 
         (11657193877326493733674082495057376460889884471590912*z^31)/35 - 
         (1372659450999917586981603088840880675582854667708846309376*z^32)/
          35 + 
         (35299842901137775799930670997229590264801256222028167154499584*
           z^33)/35)*Cf[z]^12 + ((-2083322660219*z^16)/13544423424 + 
         (91737292452083*z^17)/241920 - (2854501990724439*z^18)/7 + 
         (43210877560640236933632*z^19)/175 - (15802543856433539657198075904*
           z^20)/175 + (3443411563998179724211907192684544*z^21)/175 - 
         (400147214285215875633201897338088456192*z^22)/175 + 
         (3405234453799179179124807795201057063174144*z^23)/35 + 
         (6726901697045352860783566310827247965556441088*z^24)/35)*Cf[z]^10*
        tS0[z] + ((11342571091*z^10)/4478976 - (35259189387*z^11)/8 + 
         (15468339818780064*z^12)/5 - 1050473796666260963328*z^13 + 
         (786495848940687845455036416*z^14)/5 - 
         5187986020685844846828576571392*z^15)*Cf[z]^8*tS0[z]^2 + 
       ((-3477235*z^4)/576 + 10812709440*z^5 - 3707318710333440*z^6)*Cf[z]^6*
        tS0[z]^3 + (((-4938903898505*z^18)/162533081088 + 
           (1426798295271427*z^19)/13063680 - (28634327517680097*z^20)/175 + 
           (3406869030998251194624*z^21)/25 - (12157738492086226752825655296*
             z^22)/175 + (772117417334999836409045811462144*z^23)/35 - 
           (143942904158502272526057421089068285952*z^24)/35 + 
           (60094864439766674179620687444533748267220992*z^25)/175 + 
           (313477818579432707918164946241900561651292176384*z^26)/35 - 
           (17501446426718328871743533123684203188742691305291776*z^27)/35)*
          Cf[z]^11 + ((14665711511*z^12)/6718464 - (3001708611511*z^13)/720 + 
           (16787734264210176*z^14)/5 - (7196196796215182880768*z^15)/5 + 
           337981547177831329374928896*z^16 - 
           (191482501839484753626958248542208*z^17)/5 + 
           1081120442912368427559959460675846144*z^18)*Cf[z]^9*tS0[z] + 
         ((-880525*z^6)/48 + 22685786916*z^7 - 9578396927913984*z^8 + 
           1435326609935876751360*z^9)*Cf[z]^7*tS0[z]^2 - 
         (183875*Cf[z]^5*tS0[z]^3)/12)*tS1[z] + 
       (((3092548559*z^14)/322486272 - (23375365495943*z^15)/120960 + 
           (2855547420195627*z^16)/7 - (65824919474136626566656*z^17)/175 + 
           (32580861211091029497886605312*z^18)/175 - 
           (8802382285296873796211006018420736*z^19)/175 + 
           (30431511611363365515648496523959861248*z^20)/5 + 
           (331607973338121338023217552310724070473728*z^21)/5)*Cf[z]^10 + 
         ((-12840318619*z^8)/1492992 + (22648477331*z^9)/2 - 
           5891792920542144*z^10 + 1475375211164256731136*z^11 - 
           158307902183843965131816960*z^12)*Cf[z]^8*tS0[z] + 
         ((3338225*z^2)/288 - 6490724400*z^3)*Cf[z]^6*tS0[z]^2)*tS1[z]^2 + 
       (((25086266875*z^10)/17915904 - (713061537451*z^11)/288 + 
           1446140473890696*z^12 - (943484267417606959104*z^13)/5 - 
           (588554468756444988976398336*z^14)/5 + 
           39344795388743456508969826123776*z^15)*Cf[z]^9 + 
         ((135176755*z^4)/20736 - 2854235520*z^5 + 40511565296640*z^6)*
          Cf[z]^7*tS0[z])*tS1[z]^3 + 
       (((-1011367085*z^6)/248832 + 7732247302*z^7 - 4744186276469184*z^8 + 
           1036639381300074086400*z^9)*Cf[z]^8 - (149575*Cf[z]^6*tS0[z])/64)*
        tS1[z]^4 + ((-12075745*z^2)/2304 + 2578873950*z^3)*Cf[z]^7*
        tS1[z]^5) + S2[z]^6*(((-40934482639825*z^24)/70214291030016 + 
         (14303311097927921*z^25)/6270566400 - (19224010543876337*z^26)/
          4725 + (3834083243726761390416*z^27)/875 - 
         (2766462896307462787230547968*z^28)/875 + 
         (1398968421789513811151928556781568*z^29)/875 - 
         (503257271506820363683566371437906231296*z^30)/875 + 
         (25564813039000055765430761869330524244279296*z^31)/175 - 
         (4440954792222930644985253066575077604397670203392*z^32)/175 + 
         (490599788945291858322121722542857412317546838954606592*z^33)/175 - 
         (28200125039889482797207115317473951224136700407750120701952*z^34)/
          175 + 
         (23796807507904005946164116109837926351798557738923270353190912*
           z^35)/5 - 
         (267724146828781932967361867551991725662374938490399462923066933248*
           z^36)/5)*Cf[z]^12 + ((1620285328099*z^18)/40633270272 - 
         (197284658637359*z^19)/1866240 + (1331618118011379*z^20)/10 - 
         (17899791969032667506304*z^21)/175 + (8984666878443347952822091776*
           z^22)/175 - (2976686915052146993929918812782592*z^23)/175 + 
         (633058091062657208163904790302090592256*z^24)/175 - 
         (15966572978787078624603596117833342733254656*z^25)/35 + 
         (141842469007707378363746715034317450148275290112*z^26)/5 - 
         (3087584842767875482223299548527726641001314494971904*z^27)/5)*
        Cf[z]^10*tS0[z] + ((11207357981*z^12)/41803776 - 
         (1137113424733*z^13)/7560 - (11190405920479776*z^14)/35 + 
         (12720718269073139171328*z^15)/35 - (5053467399387467466437296128*
           z^16)/35 + (120476088071721175035951917826048*z^17)/5 - 
         (5600927130063697355561746802348654592*z^18)/5)*Cf[z]^8*tS0[z]^2 + 
       ((-1915891*z^6)/96 + 13110261594*z^7 - 1204253407627776*z^8 - 
         414164320224285818880*z^9)*Cf[z]^6*tS0[z]^3 + 
       (281000*Cf[z]^4*tS0[z]^4)/3 + 
       (((9658691318725*z^20)/975198486528 - (2587461081885413*z^21)/
            78382080 + (17910977127290633*z^22)/350 - 
           (8396377646667537619584*z^23)/175 + (741843968846710382043660288*
             z^24)/25 - (436237415075567332880878254686208*z^25)/35 + 
           (619573625334029867854409422961708630016*z^26)/175 - 
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414834950144*z^39)/5)*Cf[z]^12 + ((255161327515*z^20)/18059231232 - 
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           (677650620738876378683277312*z^18)/35 - 
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           563037368966586431753037257272983552*z^20 + 
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          tS0[z]^2)*tS1[z]^3 + 
       (((9123463889*z^10)/5971968 - (87460907141*z^11)/48 + 
           (3622329778531248*z^12)/5 - (185467285639101652992*z^13)/5 - 
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         ((-2346865*z^4)/216 + 7545916260*z^5 - 1156051105735680*z^6)*Cf[z]^6*
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     S2[z]^4*(((630940632518719*z^28)/9268286415962112 - 
         (24791112299156473*z^29)/62078607360 + (965915326212449683463*z^30)/
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         (3093893387538307050174541075495129634764263624814709790769938432*
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0087045523177472*z^40)/175 - 
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0352*z^41)/5 + 
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25235456*z^42)/5)*Cf[z]^12 + ((-52875236564537*z^22)/2437996216320 + 
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         (85527145598601800631744*z^25)/875 - (47245206274137673488244113408*
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         (57327404664200176659456*z^19)/35 + (19065954462916500822359015424*
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         24181886203405261449021777963923034489300713472*z^24)*Cf[z]^8*
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         (93934251906022656*z^12)/5 + (26361061865443585032192*z^13)/5 - 
         720862438029209193758588928*z^14 + 34587845473628224794946745401344*
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       (((-62849265034517*z^24)/40226937569280 + (172617946801374839*z^25)/
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           (166938165329179310985168*z^27)/9625 - 
           (22064301122425893704396095488*z^28)/1925 + 
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           (2944459106374654488677930883233121042432*z^30)/1925 + 
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           (3725083993023334270136419196961783864751711181160031715328*z^34)/
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           (9210603504834459688686702381720341025564612797793171432013824*
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5866328563712*z^36)/5)*Cf[z]^11 + ((3257242046323*z^18)/6772211712 - 
           (2898875113663621*z^19)/2177280 + (269267650375850148*z^20)/175 - 
           (173047241647777458601728*z^21)/175 + 
           (68527110087754348581443469312*z^22)/175 - 
           (17315987994110781331219519276843008*z^23)/175 + 
           (110609305874444365608939987336079343616*z^24)/7 - 
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           1182806733462914318300916677638284868623160634769408*z^27)*Cf[z]^9*
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           (863391812212166688*z^14)/35 + (299217744191544579735552*z^15)/
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           151586943851803507292150911991808*z^17 - 
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         317400*Cf[z]^3*tS0[z]^4)*tS1[z] + 
       (((2750244474029*z^20)/325066162176 - (20918821156037*z^21)/414720 + 
           (120874970648263521*z^22)/1400 - (64602399343128231538368*z^23)/
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           (2108728520692380067720217669664768*z^25)/175 + 
           (433180055879916349248581040916886716416*z^26)/175 - 
           (10703325828702688905134613021646620085714944*z^27)/35 + 
           (621937752945096811646288915134625824204545589248*z^28)/35 + 
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           (92760414821423000414208*z^17)/35 - (22601528621221876501052915712*
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           5975177864358852534382903676733751296*z^20 + 
           118178578968422374592794483313642022371328*z^21)*Cf[z]^8*tS0[z] + 
         ((4769966275*z^8)/41472 - 118649023755*z^9 + 44194034990207232*
            z^10 - 6988146859300983275520*z^11 + 385005838629232033608499200*
            z^12)*Cf[z]^6*tS0[z]^2 + ((-1562825*z^2)/3 + 138510000000*z^3)*
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       (((7895864783*z^16)/141087744 - (3982065426937*z^17)/161280 - 
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           (29506733556135189092700883255296*z^21)/5 - 
           (36796167473793749394638420456868151296*z^22)/35 + 
           106945700839986204295988981510462886641664*z^23 + 
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           134071311834397505891598336*z^14 - 4875413638902895131454385160192*
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           (25670680712461476*z^14)/35 + (8626760762058633636864*z^15)/35 - 
           (276822914460432838140100608*z^16)/7 + 
           875389300110823335757866860544*z^17 + 
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         ((-3434017*z^6)/1296 - 1420676235*z^7 + 1302745349157120*z^8 - 
           186273442373932154880*z^9)*Cf[z]^6*tS0[z] - 
         (59725*Cf[z]^4*tS0[z]^2)/8)*tS1[z]^4 + 
       (((646324955*z^8)/248832 - 2907722946*z^9 + 1258724013477120*z^10 - 
           260434859657068412928*z^11 + 24986171764766384125378560*z^12)*
          Cf[z]^7 + ((-2763365*z^2)/144 + 5436104400*z^3)*Cf[z]^5*tS0[z])*
        tS1[z]^5 + ((-8803615*z^4)/3456 + 1147840740*z^5 - 
         116527542243840*z^6)*Cf[z]^6*tS1[z]^6 - (25*Cf[z]^5*tS1[z]^7)/12) + 
     S2[z]^3*(((-34640131311157*z^30)/631928619270144 + 
         (2275407904218538603*z^31)/7821904527360 - 
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         (176084287081303423879622*z^33)/202125 - 
         (293469006993874789870397952*z^34)/385 + 
         (31871349856276397816868634267090944*z^35)/67375 - 
         (14595270274462532206489704822347076206592*z^36)/67375 + 
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         (1330840164987736882495709971494303752448185437519872*z^38)/67375 + 
         (268055882742359868431369746773339519378445926763075731456*z^39)/
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         (1634251491492675618317204758833240498198141995080630438723584*z^40)/
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         (18852483970677994475739149959202359530386664077819122437687607296*
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7690032155262976*z^42)/175 + 
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           (148621688907611716251648*z^17)/25 + (7516632583498104954748403712*
             z^18)/5 - (7804077330385292768410246381043712*z^19)/35 + 
           17968436865210383207827591564326076416*z^20 - 
           607869720168344249231018657099136941162496*z^21)*Cf[z]^7*tS0[z] + 
         ((-504359573*z^8)/2592 + (1014321874398*z^9)/5 - 77228076996739584*
            z^10 + 12732322831109311168512*z^11 - 763245014121716299824365568*
            z^12)*Cf[z]^5*tS0[z]^2 + (865205*z^2 - 236657894400*z^3)*Cf[z]^3*
          tS0[z]^3)*tS1[z]^3 + (((36538647317*z^16)/167215104 - 
           (24128865580817*z^17)/40320 + (3127582469387799*z^18)/5 - 
           (60092464763426873260032*z^19)/175 + (3879612821923035548962848768*
             z^20)/35 - (763531600541759610744525759184896*z^21)/35 + 
           (90355120848390361915096283752207220736*z^22)/35 - 
           169233968300420460581768848461970261671936*z^23 + 
           5446284815729593099318273480083293914703855616*z^24)*Cf[z]^8 + 
         ((-394208039*z^10)/15552 + (666104531641*z^11)/20 - 
           16519252137416064*z^12 + (19532414040324639916032*z^13)/5 - 
           442232323688756336129998848*z^14 + 
           19188507824796051030688137216000*z^15)*Cf[z]^6*tS0[z] + 
         ((16418191*z^4)/48 - 152588759040*z^5 + 15779117844725760*z^6)*
          Cf[z]^4*tS0[z]^2)*tS1[z]^4 + 
       (((139095311*z^12)/2322432 + (12095470277*z^13)/560 - 
           (625574139468624*z^14)/35 - (314720148239466872832*z^15)/35 + 
           (238210537845711934077272064*z^16)/35 - 
           1384657755569333143868949921792*z^17 + 
           107308892428999064127129287544274944*z^18)*Cf[z]^7 + 
         ((16877395*z^6)/864 - 10300745682*z^7 + 1425780991895040*z^8 - 
           24865588719239823360*z^9)*Cf[z]^5*tS0[z] + 7200*Cf[z]^3*tS0[z]^2)*
        tS1[z]^5 + (((-309403427*z^8)/165888 + 1992003051*z^9 - 
           777411668919168*z^10 + 131273700553112518656*z^11 - 
           8051173969178212624760832*z^12)*Cf[z]^6 + 
         ((144815*z^2)/6 - 6517843200*z^3)*Cf[z]^4*tS0[z])*tS1[z]^6 + 
       ((867905*z^4)/288 - 1354475520*z^5 + 142484915773440*z^6)*Cf[z]^5*
        tS1[z]^7 + 50*Cf[z]^4*tS1[z]^8) + 
     S2[z]*(766050206546537/1020600 - (240482503641544576*z)/175 + 
       (45846166340000782614528*z^2)/35 - (11822913629699220753377918976*z^3)/
        35 + ((-9330788051364691*z^34)/2530242191557656576 + 
         (96534250613774909059*z^35)/6101085531340800 - 
         (2460119113013021678227*z^36)/98075577600 + 
         (54707241656324925456757*z^37)/4299750 + 
         (1786205793695151836366203392*z^38)/125125 - 
         (27057437359093857619866878728667136*z^39)/875875 + 
         (24625886520465241515628038150868684505088*z^40)/875875 - 
         (261613401580140432358239717198578271142281216*z^41)/15925 + 
         (5987493221765477464144784439332956599340784374775808*z^42)/875875 - 
         (1852400594298622416496173962128075463118217247256389615616*z^43)/
          875875 + 
         (434467668180234807646525977764269979875240363737837255769718784*
           z^44)/875875 - (77721939310417986372360833544234160742654863406013\
991667754181066752*z^45)/875875 + 
         (2111366101339637467883160216297527608137561006603475844462201944097\
685504*z^46)/175175 - 
         (4287077636410374714976828229770423517827593999862135975653313011022\
7391184896*z^47)/35035 + (157598476333977485555718002980512983040358404914386\
92466652599039641270985162752*z^48)/175 - (1590059596089024955361940463821124\
15326425822923562695861955910649471489585377705984*z^49)/35 + 
         (4922905376472006842340376406908437935233588666173699365694389294001\
901809208668186476544*z^50)/35 - (1411852044377214554249890152180558782326769\
3416045709608882655391129561632704030264648531968*z^51)/7)*Cf[z]^12 + 
       (-96811777942003/945 + (943221344074702848*z)/5 - 
         (378698468146177067974656*z^2)/5 + 
         ((1983158388321511*z^28)/6758125511639040 + (9287510344495231*z^29)/
            21727512576 - (15292347565590215261*z^30)/3492720 + 
           (123521493150676101291312*z^31)/13475 - 
           (12363546350123734443976433664*z^32)/1225 + 
           (94809107410627048847290315331076096*z^33)/13475 - 
           (45319240851433061607911137728074845519872*z^34)/13475 + 
           (1406459793628128846480589912002742310406193152*z^35)/1225 - 
           (349764079442398988396337820705262536944375218307072*z^36)/1225 + 
           (700449958823573048795368137757745492565098558194616107008*z^37)/
            13475 - 
           (92531266393351439805192092295863140043708635402611434459234304*
             z^38)/13475 + (1122616423765464672460896083472924469580587121613\
46237012113358848*z^39)/175 - 
           (28153390553571491369556928496232803654691379224559658416005771480\
2688*z^40)/7 + 
           (75986310296156933097264181496419351099424461372262054438590584088\
66971648*z^41)/5 - (130913098605650997304267937685803066552272450064834443365\
246994899114997579776*z^42)/5)*Cf[z]^10)*tS0[z] + 
       (6744504626688 - 5309682203643346944*z + 
         ((2121547822129*z^22)/33861058560 - (6025748388997447*z^23)/
            16329600 + (26356043991117433*z^24)/35 - 
           (693417980068676968564224*z^25)/875 + 
           (439728299776093757831875657728*z^26)/875 - 
           (181464246497330704825300692271890432*z^27)/875 + 
           (10122530989309685845976160540714564845568*z^28)/175 - 
           (1930803927802299008505640107832927568435085312*z^29)/175 + 
           (49769782374958509803072146822048321680577709211648*z^30)/35 - 
           (830361202561217227258289665053330316701530806246440960*z^31)/7 + 
           (28949734801914711160678866294356491698891636673889471299584*z^32)/
            5 - 
           (628584686565505118913574399975390445394031428197668214513074176*
             z^33)/5)*Cf[z]^8)*tS0[z]^2 + 
       (-120531354255360 + ((-59241015595*z^16)/7838208 + 
           (3219487559283*z^17)/140 - (4622082643361088144*z^18)/175 + 
           (389897670267226766647296*z^19)/25 - 
           (935808378421081092221681270784*z^20)/175 + 
           (38946425517795426529766519819206656*z^21)/35 - 
           (4865474435791658082412205532695916183552*z^22)/35 + 
           9609214459421512776470847357069876459995136*z^23 - 
           282959881514643706958886176479780346177771274240*z^24)*Cf[z]^6)*
        tS0[z]^3 + ((114968717*z^10)/432 - (2095506318144*z^11)/5 + 
         (1122489532750344192*z^12)/5 - (278293223644443234533376*z^13)/5 + 
         6596539950661074916837687296*z^14 - 
         302661178598770161386969584631808*z^15)*Cf[z]^4*tS0[z]^4 + 
       (-2984605*z^4 + 1189608560640*z^5 - 124174809571000320*z^6)*Cf[z]^2*
        tS0[z]^5 + (11895707479412736/5 - 2484395555500188499968*z + 
         ((174427056021184843*z^30)/1054267579815690240 - 
           (115616232825163728103*z^31)/169474598092800 + 
           (281093490433247347903*z^32)/247665600 - 
           (510165227795408390491432*z^33)/525525 + 
           (32107386779906006549624352768*z^34)/79625 + 
           (1291522417760795457425457326063616*z^35)/125125 - 
           (99451066847332117127412039137439799836672*z^36)/875875 + 
           (9064904518028137143013046142953741915768487936*z^37)/125125 - 
           (23295940155653483152993573891706156622249025635090432*z^38)/
            875875 + 
           (1158744059248380549895344125493170133229924280422373523456*z^39)/
            175175 - 
           (204330183383799695504795525103054815422730614311682418877136896*
             z^40)/175175 + (257312476093908865482262467259385379334702938400\
19269111825865637888*z^41)/175175 - 
           (32417511715233764902071819788928187274338323515464662534104512934\
7072*z^42)/25 + 
           (13389142422929116180135078230466635246249760880295304553687520577\
6329670656*z^43)/175 - (95116750969383961391348026897026701893956141793093474\
7388384674520893396877312*z^44)/35 + (154154377461426151391469249212378473246\
28512565164647274655659612069195809011269632*z^45)/35)*Cf[z]^11 + 
         (-119968354249998336 + ((-1589092566953293*z^24)/93862854328320 + 
             (4448169592124663*z^25)/188606880 + (20801303462272446907*z^26)/
              808500 - (5463227298698956431732672*z^27)/67375 + 
             (5476809313516190277219883352064*z^28)/67375 - 
             (444005367037610446369436014793981952*z^29)/9625 + 
             (1138595393663186235911962157213330322751488*z^30)/67375 - 
             (56599332347495512272375680341344396210415337472*z^31)/13475 + 
             (9680355381982732319076817202658647123914665322610688*z^32)/
              13475 - 
             (14616398215301706386353510630941256708897268924392931328*z^33)/
              175 + 
             (1105743870452143056803386344350252817096858249734304263307264*z^
                34)/175 - (14051443440440207082520430094824337625507745501320\
74275470835712*z^35)/5 + 
             5586661151558857248280768379779056806137884151047493321456927899\
648*z^36)*Cf[z]^9)*tS0[z] + ((-173842096745*z^18)/188116992 + 
           (2138943030001*z^19)/420 - (1442657728982872152*z^20)/175 + 
           (5630649779622715741698048*z^21)/875 - 
           (505015112164263468698604404736*z^22)/175 + 
           (139964516676488639082903380214939648*z^23)/175 - 
           (4891832126685026549040547947498593845248*z^24)/35 + 
           (526078059889553877955149915995924616531935232*z^25)/35 - 
           909706473546922713906837473812226606065199874048*z^26 + 
           23750165035469178316905865027711179920675943468761088*z^27)*
          Cf[z]^7*tS0[z]^2 + ((4178711911*z^12)/36288 - (8490776349074*z^13)/
            35 + (31286751662530614528*z^14)/175 - 
           (447274941995475776176128*z^15)/7 + (84432054088755142124585877504*
             z^16)/7 - 1158366695197807144628203592613888*z^17 + 
           44608890820913202022252167464780562432*z^18)*Cf[z]^5*tS0[z]^3 + 
         ((-10497945*z^6)/4 + 2035661274432*z^7 - 487249028009902080*z^8 + 
           36619981827091684392960*z^9)*Cf[z]^3*tS0[z]^4 + 
         9723600*Cf[z]*tS0[z]^5)*tS1[z] + 
       (((-39030390758413*z^26)/12799480135680 + (17334639821806501*z^27)/
            1490227200 - (45299060372406671129*z^28)/2425500 + 
           (1150446346567253225796744*z^29)/67375 - 
           (19415226472221184893556955136*z^30)/1925 + 
           (277648926650528642254424111730130944*z^31)/67375 - 
           (11684851444614770198678539481497466830848*z^32)/9625 + 
           (17835595516629128023371638650774038821373739008*z^33)/67375 - 
           (584662966823754367208041828796744711784251441283072*z^34)/13475 + 
           (72279895201038781019125041725884474908156975388953673728*z^35)/
            13475 - 
           (86098389828984086705594751236158859426069008311706623934464*z^36)/
            175 + 
           (5594631028388284165730857382122597732496953458723417087912443904*
             z^37)/175 - (651706037290400012012913297964146013254639469000616\
5203298962898944*z^38)/5 + 
           (12379523517395397167277364999909857980663397610786783167574036284\
0735744*z^39)/5)*Cf[z]^10 + ((11558410382513*z^20)/33861058560 - 
           (3910063913691653*z^21)/5443200 + (99721505573504979*z^22)/175 - 
           (180207765191840799177216*z^23)/875 + 
           (2596603598529279527047790592*z^24)/125 + 
           (1773316234925592922136735077367808*z^25)/175 - 
           (766068504037858109066091933684442595328*z^26)/175 + 
           (27465463485104389905975849387253975121657856*z^27)/35 - 
           (2621939959429356324080623874146502156839563558912*z^28)/35 + 
           (18223643408806940410229114031012139755325973669609472*z^29)/5 - 
           68859452657877701939607476827812231859735391517259333632*z^30)*
          Cf[z]^8*tS0[z] + ((-327466259*z^14)/1741824 - (10612837845041*z^15)/
            840 + (592110561177893664*z^16)/35 - 8955441400667277164544*
            z^17 + (12155610655177532056402919424*z^18)/5 - 
           (12540385332461171404468681005072384*z^19)/35 + 
           27173437501770255760646547251694403584*z^20 - 
           826119249337005882775592440538139054833664*z^21)*Cf[z]^6*
          tS0[z]^2 + ((-410869135*z^8)/864 + (2810286517392*z^9)/5 - 
           208578133368852480*z^10 + 31142510999080947154944*z^11 - 
           1619021884055519416666816512*z^12)*Cf[z]^4*tS0[z]^3 + 
         (5304090*z^2 - 894563481600*z^3)*Cf[z]^2*tS0[z]^4)*tS1[z]^2 + 
       (((3955552318393*z^22)/135444234240 - (12943979708919839*z^23)/
            130636800 + (74345479878993514*z^24)/525 - 
           (20261466977443096190976*z^25)/175 + 
           (53519560560205307607075618816*z^26)/875 - 
           (3874163846166468028264783005351936*z^27)/175 + 
           (985951737610990878233971953053013639168*z^28)/175 - 
           (177023017812608645178109270701967767748214784*z^29)/175 + 
           (4403678184703522075012826314879601591087347531776*z^30)/35 - 
           (72304597416226917416132726344889595149883142607732736*z^31)/7 + 
           (2527702522732511867462483683517909873171137246809714327552*z^32)/
            5 - 
           (55506943044158996633957587597373960947550928180732649399123968*
             z^33)/5)*Cf[z]^9 + ((-50953047275*z^16)/15676416 + 
           (100425467376527*z^17)/15120 - (1014911043884738964*z^18)/175 + 
           (503775024756358712150016*z^19)/175 - 
           (22346542402678053403189051392*z^20)/25 + 
           (6222252401368046807405052850864128*z^21)/35 - 
           (110276705803706114987565001403818573824*z^22)/5 + 
           1554689313476179207700760919918523417886720*z^23 - 
           47530877367333975691852298036915510046999183360*z^24)*Cf[z]^7*
          tS0[z] + ((1233883991*z^10)/20736 - (323696144299*z^11)/5 + 
           (158942796737133312*z^12)/5 - (41548743289677929250816*z^13)/5 + 
           1103268676496347282412666880*z^14 - 
           57863438491535159133414767984640*z^15)*Cf[z]^5*tS0[z]^2 + 
         ((258635*z^4)/2 + 45405619200*z^5 - 16442310863093760*z^6)*Cf[z]^3*
          tS0[z]^3)*tS1[z]^3 + (((-667540091473*z^18)/4514807808 + 
           (38730561579863*z^19)/90720 - (87772386599777157*z^20)/175 + 
           (40550745680749258230528*z^21)/125 - (4524907138847902737595957248*
             z^22)/35 + (830332985364604481997658719780864*z^23)/25 - 
           (193581077295582643361639355635617234944*z^24)/35 + 
           (20231571733137081414361296241842536753135616*z^25)/35 - 
           34464976790204429044154224099738477172914913280*z^26 + 
           908260295933507195314396924452692860361225747300352*z^27)*
          Cf[z]^8 + ((160470513223*z^12)/10450944 - (5230808878313*z^13)/
            210 + (2832535768406137776*z^14)/175 - 
           (189861940101248671260672*z^15)/35 + 
           (34758965765871805376272269312*z^16)/35 - 
           94430209705743896086727173865472*z^17 + 
           3650274341410885034939581166511980544*z^18)*Cf[z]^6*tS0[z] + 
         ((-41731829*z^6)/144 + 219783228768*z^7 - 52884836395720704*z^8 + 
           4054954749438417960960*z^9)*Cf[z]^4*tS0[z]^2 + 
         1048800*Cf[z]^2*tS0[z]^3)*tS1[z]^4 + 
       (((39653398667*z^14)/125411328 - (837451839551*z^15)/1120 + 
           (113728274571248388*z^16)/175 - (50050209020331577614336*z^17)/
            175 + (353505864848229773213958144*z^18)/5 - 
           (348013614511935959451004160704512*z^19)/35 + 
           740406680773720156958231302665928704*z^20 - 
           22130679244806078056438660838659375235072*z^21)*Cf[z]^7 + 
         ((-653831813*z^8)/20736 + (158396840616*z^9)/5 - 10998588100654080*
            z^10 + 1599001016012163514368*z^11 - 82824139047148563845873664*
            z^12)*Cf[z]^5*tS0[z] + (343200*z^2 - 57330892800*z^3)*Cf[z]^3*
          tS0[z]^2)*tS1[z]^5 + 
       (((6508927*z^10)/27648 - (9323217391*z^11)/40 + (679028359610592*z^12)/
            5 - (223025321486902984704*z^13)/5 + 7102831780190331321974784*
            z^14 - 423607063038632130878336139264*z^15)*Cf[z]^6 + 
         ((205313*z^4)/18 - 1335709440*z^5 - 236756521451520*z^6)*Cf[z]^4*
          tS0[z])*tS1[z]^6 + (((-1700375*z^6)/864 + 1503286164*z^7 - 
           365328835255296*z^8 + 28314414388504166400*z^9)*Cf[z]^5 + 
         15600*Cf[z]^3*tS0[z])*tS1[z]^7 + ((10285*z^2)/6 - 284601600*z^3)*
        Cf[z]^4*tS1[z]^8)
 
Ff[8] = -183629475713666254180012843/2709269983869756878566195200 - 
     (35485172476817342572603153*z)/5806905829624821841920 - 
     (22945273383791148715979*z^2)/152527138283520 + 
     (440143861402443426374063*z^3)/139311900 - 
     (596197934095027254506496*z^4)/175 + (68936379923417241571490267136*z^5)/
      35 - (99979089102008284643828815601074176*z^6)/175 + 
     (11450223490437321459751571453088330940416*z^7)/175 + 
     ((183911933149456629496620847*z^42)/2709269983869756878566195200 - 
       (24878561518150061993205890233*z^43)/145172645740620546048000 + 
       (9658506867101420801387444681*z^44)/48618025327872000 - 
       (582010121813247242145860174341*z^45)/4168212048000 + 
       (590645994371766067451663586776*z^46)/8933925 - 
       (65886242362324472042712623268283392*z^47)/2977975 + 
       (11330443121548232289812759353388115689472*z^48)/2127125 - 
       (13648310434428600696230467925151945727684902912*z^49)/14889875 + 
       (1615629458007692055351564084173141312869459587760128*z^50)/14889875 - 
       (1386981307595255571082988041245623026922110481734828032*z^51)/
        175175 + 
       (662281110564567642769916317002314652828894440501467800403968*z^52)/
        2977975 + 
       (28524790565336395588654298485379718538811204467028277987939188736*
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8119779570972884992*z^54)/1145375 + 
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8091707884699648*z^38)/5 - 
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76064*z^39)*Cf[z]^10 + ((-1227887178347*z^20)/282175488 + 
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         20001832771158992445379706880*z^14 + 
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       ((40894900*z^4)/3 - 5561880422400*z^5 + 555612371995852800*z^6)*
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     (((-828179581711*z^18)/9029615616 - (4166948487917*z^19)/35840 + 
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         1774240307846714260413480960*z^16 + 
         152016652185457958641758879350784*z^17 - 
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        Cf[z]^5*tS0[z] + ((4546300*z^2)/3 - 304383744000*z^3)*Cf[z]^3*
        tS0[z]^2)*tS1[z]^7 + 
     (((-113133275*z^10)/20736 + (73791547179*z^11)/10 - 
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         99930773429499847457636352*z^14 + 4452799298242764832909012500480*
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     (((2007265*z^6)/432 - 2583375120*z^7 + 461905552650240*z^8 - 
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         2172215113937640*z^6)*Cf[z]^14 + (677615525*Cf[z]^13*tS1[z])/
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       ((-280731325*z^4)/147456 - (3197794596975*z^5)/64 + 
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       (4043037875*Cf[z]^12*tS1[z]^2)/24576) + 
     S2[z]^16*(((-187388788955*z^10)/71663616 + (544594072937*z^11)/768 + 
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         298816777802481404086075392*z^14 + 44906755810898573481873380474880*
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         2732046972077520*z^6)*Cf[z]^12*tS0[z] + 
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       ((-8285077075*z^2)/27648 + (7194151015875*z^3)/32)*Cf[z]^12*
        tS1[z]^2) + S2[z]^15*(((76528260540655*z^12)/30958682112 - 
         (72374193465745*z^13)/13824 + (12278399430502215*z^14)/4 + 
         (208202731267728830976*z^15)/5 - (2556697790885653502491557888*z^16)/
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       (183912775*Cf[z]^10*tS0[z]^2)/13824 + 
       (((-4922904246865*z^8)/143327232 + (5063534877751*z^9)/64 - 
           43146121546726092*z^10 + 1135831248688518102528*z^11 + 
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       ((24777313825*z^4)/497664 - (9111780542085*z^5)/32 + 
         136497801748038480*z^6)*Cf[z]^12*tS1[z]^2 + 
       (84288579925*Cf[z]^11*tS1[z]^3)/165888) + 
     S2[z]^14*(((-711614207401*z^14)/27088846848 + (2120110767156629*z^15)/
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         (9597774748237123267296*z^17)/5 - (13760830425767109485752737792*
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         (99001816555613661986971770363517599744*z^20)/5 + 
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       ((-146814042175*z^8)/71663616 + (140479222951*z^9)/48 - 
         457428070843632*z^10 - 793501617478994933760*z^11 + 
         294742280630952450173435904*z^12)*Cf[z]^12*tS0[z] + 
       ((-37120435*z^2)/1728 + (32117328225*z^3)/2)*Cf[z]^10*tS0[z]^2 + 
       (((-1061968859605*z^10)/71663616 - (45928890813049*z^11)/4608 + 
           (71423282116553175*z^12)/2 - 19769361040246872669696*z^13 + 
           2334513908638762545003429888*z^14 + 
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         ((2275909675*z^4)/124416 - (176669661585*z^5)/4 + 
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       (((155334570415*z^6)/663552 - (14572013476005*z^7)/128 - 
           95411050600873050*z^8 + 48284215763154979184640*z^9)*Cf[z]^12 + 
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       ((-75346677175*z^2)/82944 + (5025931723125*z^3)/8)*Cf[z]^11*
        tS1[z]^3) + S2[z]^13*(((-7842969980585003*z^16)/10402117189632 + 
         (26140298671282921*z^17)/20901888 - (167272844098655361*z^18)/560 - 
         (21823095423715503114816*z^19)/35 + (2631895578652267663132151808*
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         (315989069659654685946865451601141694464*z^22)/35 + 
         (11030213325988301054451070782934172339011584*z^23)/5 - 
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       ((38354700325*z^10)/53747712 - (2355304435567*z^11)/1152 + 
         1741500246042198*z^12 - 431717199647168775168*z^13 - 
         117283942116221737926131712*z^14 + 57908234914644249270030534967296*
          z^15)*Cf[z]^12*tS0[z] + ((-5711645*z^4)/3072 - 
         (31521312945*z^5)/2 + 8361878333558400*z^6)*Cf[z]^10*tS0[z]^2 + 
       (((376622776599185*z^12)/18059231232 - (5324649644883109*z^13)/
            145152 + (224098232972293413*z^14)/14 + 
           (155599066228152276741888*z^15)/35 - 
           (164524516858797933887430524928*z^16)/35 + 
           (4001542226611629199794399350882304*z^17)/5 + 
           (220650972075029245210625466743276961792*z^18)/5)*Cf[z]^13 + 
         ((5738645425*z^6)/746496 + (66050327445*z^7)/8 - 18471733273533024*
            z^8 + 6671755014551787110400*z^9)*Cf[z]^11*tS0[z] + 
         (126543425*Cf[z]^9*tS0[z]^2)/1152)*tS1[z] + 
       (((-8097333734945*z^8)/47775744 + (90061622662391*z^9)/288 - 
           144589060633716288*z^10 - 4948758488499608669184*z^11 + 
           10922970151280149230067384320*z^12)*Cf[z]^12 + 
         ((-1401422165*z^2)/10368 + 101443367475*z^3)*Cf[z]^10*tS0[z])*
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         343469763896899680*z^6)*Cf[z]^11*tS1[z]^3 + 
       (23952727225*Cf[z]^10*tS1[z]^4)/27648) + 
     S2[z]^12*(((436215319892225*z^18)/1462797729792 - 
         (841398592088727263*z^19)/836075520 + (206260701202917565*z^20)/
          168 - (4658540712863179881888*z^21)/7 + 
         (733442647954339824272953344*z^22)/7 + 
         (1857049642551301734369782797959168*z^23)/35 - 
         (928207148059977037421374291345221353472*z^24)/35 + 
         (117646022986809234223405557999935113276686336*z^25)/35 + 
         (3479848295773551443560414275321610325660371255296*z^26)/35 - 
         (65241396294799819550504835418290828019184024627970048*z^27)/35)*
        Cf[z]^14 + ((-60034513141103*z^12)/81266540544 + 
         (63746642439071*z^13)/36288 - (60194385680713656*z^14)/35 + 
         (30082898760755572597248*z^15)/35 - (7009524827847992713604235264*
           z^16)/35 - (8848661070369830439015526957056*z^17)/5 + 
         (42224978000015046014767088829487644672*z^18)/5)*Cf[z]^12*tS0[z] + 
       ((1732908715*z^6)/62208 - (159493505255*z^7)/8 - 
         1458385933043232*z^8 + 2342214165971772702720*z^9)*Cf[z]^10*
        tS0[z]^2 - (247737575*Cf[z]^8*tS0[z]^3)/5184 + 
       (((-735366389258755*z^14)/162533081088 + (67382325393014855*z^15)/
            3483648 - (6708145546081251123*z^16)/280 + 
           (421841807477074047356352*z^17)/35 - 
           (61581800044889806500160487424*z^18)/35 - 
           (2509594382868417134002350751481856*z^19)/5 + 
           (734988493696419131383285260368190898176*z^20)/5 + 
           (10432528113789369533378686776570214405373952*z^21)/5)*Cf[z]^13 + 
         ((2163314995*z^8)/6718464 + (23438861881*z^9)/12 + 
           2771503098946272*z^10 - 4826121789869830471680*z^11 + 
           1600064294752671727651651584*z^12)*Cf[z]^11*tS0[z] + 
         ((-95232115*z^2)/432 + 126233733150*z^3)*Cf[z]^9*tS0[z]^2)*tS1[z] + 
       (((-2075890444505*z^10)/214990848 - (443277348448507*z^11)/4608 + 
           (1457857949623783407*z^12)/10 - (329186153846718560606976*z^13)/
            5 + 6087560765451582619474919424*z^14 + 
           1617154668259207028098016665927680*z^15)*Cf[z]^12 + 
         ((18585953665*z^4)/746496 - 103802277515*z^5 + 49931950492725120*
            z^6)*Cf[z]^10*tS0[z])*tS1[z]^2 + 
       (((3585132976405*z^6)/8957952 - (2144378858585*z^7)/32 - 
           274338272352896568*z^8 + 108921193922630881566720*z^9)*Cf[z]^11 + 
         (1244236775*Cf[z]^9*tS0[z])/7776)*tS1[z]^3 + 
       ((-371676520985*z^2)/248832 + (3816132324375*z^3)/4)*Cf[z]^10*
        tS1[z]^4) + S2[z]^11*(((8084202600344915*z^20)/280857164120064 + 
         (784503976784517131*z^21)/7524679680 - (383375584462332521*z^22)/
          1008 + (78650946070309306243476*z^23)/175 - 
         (46444700797489783489443913728*z^24)/175 + 
         (14032616937004405854676137672179712*z^25)/175 - 
         (1417014857469290056343322924202711842816*z^26)/175 - 
         (12324923128113742793752650279750532797038592*z^27)/7 + 
         (16168571329322758889368129783944354811659033772032*z^28)/35 - 
         (262904218831877125319434535686557921313374216917090304*z^29)/35 + 
         (4435605513632497426834185232084120235837384443101431463936*z^30)/
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         (82308275102549*z^15)/41472 + (147629400052703151*z^16)/70 - 
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       (((-7540294535608201*z^16)/2600529297408 + (122340627665721809*z^17)/
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          Cf[z]^13 + ((-41241085915*z^10)/4478976 + (3532033580443*z^11)/
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           291489307679144858969024634028032*z^15)*Cf[z]^11*tS0[z] + 
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       (((2962600420133281*z^12)/54177693696 - (202084725165101*z^13)/2688 + 
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           (11034424833841198150927475030360064*z^17)/5 + 
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         (3534699933150938809715726311780394735606963856224223561403858944*
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         (36750093505357046870016*z^13)/5 + 1169532482947186395511259136*
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           (1484783534094486211*z^19)/313528320 + (15027347239931897897*z^20)/
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           (72290403912564149902692470784*z^22)/175 + 
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           (125661701938597124594688*z^15)/35 + (7037659952391814214801817600*
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           59655536648156160*z^8 + 17804849281309552803840*z^9)*Cf[z]^9*
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       (((-3317580709095647*z^14)/162533081088 + (813843259200583*z^15)/
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           (152350328452235705989056*z^17)/7 - (25683886157602701147560460288*
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           (1939408165595456954234955631271841103872*z^20)/5 + 
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           14353663159039392*z^10 - 4136095306390076743680*z^11 + 
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         ((4593645755*z^4)/93312 - 149139630245*z^5 + 66547406807400960*z^6)*
          Cf[z]^9*tS0[z])*tS1[z]^3 + 
       (((2245213463905*z^6)/8957952 + (4690749407303*z^7)/24 - 
           401218686155973024*z^8 + 128697486930265675161600*z^9)*Cf[z]^10 + 
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       ((-161809510115*z^2)/124416 + 767188676700*z^3)*Cf[z]^9*tS1[z]^5) + 
     S2[z]^9*(((132849432796039495*z^24)/10110857908322304 - 
         (17596523763203749*z^25)/322486272 + (10309947461668179439*z^26)/
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         (61098939632251326433119516847351024776193826507121286447104*z^34)/
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8598879428608*z^36)/35)*Cf[z]^14 + ((-303917377363561*z^18)/1462797729792 + 
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         (453961103450528304576*z^21)/7 + (16630041004989416035649961984*
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         (831518768788655566713053841845410332672*z^24)/35 - 
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         (154303477550842773602006216907684338261151051870633984*z^27)/35)*
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         (5567772355459*z^13)/336 + (48652869456607986*z^14)/7 + 
         (17907477435277668117504*z^15)/35 - (37706849070707972604859121664*
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       (((-4897793665101761*z^20)/20061226008576 + (977978201718313109*z^21)/
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           (339664356954722161203624*z^23)/175 - 
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           (1348462801097728869019112763630411906963237785101664256*z^29)/
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           (1782303319382711*z^15)/217728 + (27404690591178462*z^16)/5 - 
           (48434350529219802144768*z^17)/35 - (3604241105936480747571904512*
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           (146383216974372999876672964418907144192*z^20)/5 + 
           (25024481853010613547006874266796377325436928*z^21)/5)*Cf[z]^11*
          tS0[z] + ((-191887592365*z^8)/1119744 + 189308160705*z^9 - 
           59714556266384640*z^10 - 1642185343907468771328*z^11 + 
           2768506175336884550189973504*z^12)*Cf[z]^9*tS0[z]^2 + 
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       (((-8479657674833249*z^16)/7801587892224 - (130604540119085*z^17)/
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           (224146154262936724570638669355941888*z^21)/175 - 
           (1561820506203654129906825431288263999488*z^22)/35 + 
           (277202457132574790552924723149668976447979520*z^23)/7 - 
           (7198503988882330977308145078101171048771487793152*z^24)/35)*
          Cf[z]^12 + ((-213992184805*z^10)/6718464 + (1931680089073*z^11)/
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           781017040637359321037930496*z^14 + 
           393092036801242713704544287588352*z^15)*Cf[z]^10*tS0[z] + 
         ((4836031565*z^4)/7776 - 513200333250*z^5 + 118595418530342400*z^6)*
          Cf[z]^8*tS0[z]^2)*tS1[z]^2 + 
       (((1345414802190665*z^12)/27088846848 - (214971520587661*z^13)/6048 - 
           (555846072708679533*z^14)/14 + (1899151920945234614907648*z^15)/
            35 - (152384638981990249021016014848*z^16)/7 + 
           2548548364958980379312133469372416*z^17 + 
           244630486784755832444708506516743782400*z^18)*Cf[z]^11 + 
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           31915054057587840*z^8 + 15686684830868697907200*z^9)*Cf[z]^9*
          tS0[z] + (8145875*Cf[z]^7*tS0[z]^2)/96)*tS1[z]^3 + 
       (((-1180288429375*z^8)/3359232 + (3824199786224*z^9)/9 - 
           93992291340723288*z^10 - 58012741930370345091072*z^11 + 
           22749427291116620364461899776*z^12)*Cf[z]^10 + 
         ((-656215175*z^2)/3888 + 104988921750*z^3)*Cf[z]^8*tS0[z])*
        tS1[z]^4 + ((532422637175*z^4)/746496 - (3868118434365*z^5)/4 + 
         320950280897746560*z^6)*Cf[z]^9*tS1[z]^5 + 
       (4914277775*Cf[z]^8*tS1[z]^6)/13824) + 
     S2[z]^8*(((-31014399602855*z^26)/93619054706688 + 
         (249610705876031935363*z^27)/29797731532800 - 
         (3953758808150844297823*z^28)/159667200 + 
         (187499928730587069669489*z^29)/5500 - 
         (52979678802734277241104810048*z^30)/1925 + 
         (19291152839768634516476451285860352*z^31)/1375 - 
         (43175999086096485573564193722971776352256*z^32)/9625 + 
         (7512525300847565289001637382886839336277377024*z^33)/9625 - 
         (97873181500549376800389379695702579254378153115648*z^34)/9625 - 
         (23654578067085069575568177404250666661006762649422135296*z^35)/
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           z^36)/25 - 
         (63837880844978957305105960390504232020816843868123395694744567808*
           z^37)/175 + (80891560339109868322840245194049921442687280836925371\
994307167256576*z^38)/7 - 
         (9667872565413690142069420243121192072623287833248655253698197959632\
48640*z^39)/7)*Cf[z]^14 + ((551043999129067*z^20)/1950396973056 - 
         (8970308596581317*z^21)/10450944 + (9467371392222529913*z^22)/8400 - 
         (145802667938815416936384*z^23)/175 + (13125268482149371420764684288*
           z^24)/35 - (17818570010520012000142144070221824*z^25)/175 + 
         (2522321992513181873542483345856186548224*z^26)/175 - 
         (35582848049835484547191272198862340175691776*z^27)/175 - 
         (42687219629593801874392786616893046997238683795456*z^28)/175 + 
         (1192892599374194638047741789908581513042393440259670016*z^29)/35 - 
         (29647264555652605512873691639883353283343379952231616872448*z^30)/
          35)*Cf[z]^12*tS0[z] + ((-6470502850687*z^14)/564350976 + 
         (581113550700181*z^15)/24192 - (723327244913039454*z^16)/35 + 
         (63901691782366046169600*z^17)/7 - (14340014305386051246535213056*
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         (45608015598031943877103432460327190528*z^20)/5 - 
         (3353054849298540938767967845266790595690496*z^21)/5)*Cf[z]^10*
        tS0[z]^2 + ((15950878595*z^8)/124416 - 169258230842*z^9 + 
         78633253694624256*z^10 - 13179847368352687718400*z^11 + 
         199449572381936937578004480*z^12)*Cf[z]^8*tS0[z]^3 + 
       ((-1208900*z^2)/3 + 232295364000*z^3)*Cf[z]^6*tS0[z]^4 + 
       (((-20839153753871*z^22)/243799621632 + (9218239229789231*z^23)/
            209018880 + (2776993322140851193*z^24)/10080 - 
           (91289940359133560611932*z^25)/175 + 
           (15373367628741325938354674688*z^26)/35 - 
           (36898593414186808946894039101734912*z^27)/175 + 
           (10304524058466370188606663868045835894784*z^28)/175 - 
           (200701145762457418478372604571099481556123648*z^29)/25 - 
           (19452268092537200567816449705000902042600521859072*z^30)/175 + 
           (29812031189299148849047451872621338975538463876679991296*z^31)/
            175 - 
           (269183775083170287685582967981687423608815534344751783346176*
             z^32)/35 + 
           (4262850868662775619800488068010885082333882521190917649993826304*
             z^33)/35)*Cf[z]^13 + ((-310757137231865*z^16)/54177693696 + 
           (14980140344246683*z^17)/1088640 - (70089594888872586*z^18)/5 + 
           (1369219532749228765230336*z^19)/175 - 
           (89400577263869857230504198144*z^20)/35 + 
           (83007579521511149543270716123643904*z^21)/175 - 
           (300616945809430117118723030815957057536*z^22)/7 + 
           (24538988901483757706724972130719760769875968*z^23)/35 + 
           (12690644506981204739917000711898579973244150874112*z^24)/35)*
          Cf[z]^11*tS0[z] + ((114636275705*z^10)/746496 - 
           (11702686913375*z^11)/48 + (751350833274735216*z^12)/5 - 
           (212858030378999755948032*z^13)/5 + (22268460651816796077850361856*
             z^14)/5 + 129934069756598614187154320916480*z^15)*Cf[z]^9*
          tS0[z]^2 + ((-2453620*z^4)/3 + 657654487200*z^5 - 
           139290399011635200*z^6)*Cf[z]^7*tS0[z]^3)*tS1[z] + 
       (((1744023775585471*z^18)/650132324352 - (258926523550114547*z^19)/
            52254720 + (12867371367242865267*z^20)/5600 + 
           (271426671001581638512464*z^21)/175 - 
           (401966088071638602815806058496*z^22)/175 + 
           (28361664187002627987443777770881024*z^23)/25 - 
           (46551551752439206378519094228776887779328*z^24)/175 + 
           (146171649480610274147993344869313278910660608*z^25)/7 + 
           (72667457698319208982254655463174480035747071000576*z^26)/35 - 
           (1561404620855351591119529542229020143897569307748466688*z^27)/35)*
          Cf[z]^12 + ((30447291375457*z^12)/752467968 - 
           (427236021612497*z^13)/6048 + (347276523076549254*z^14)/7 - 
           (123066010596725285649408*z^15)/7 + 
           (114099796763909952917124022272*z^16)/35 - 
           (1828621037802423574772032022249472*z^17)/5 + 
           (267686775841644950121343693912264409088*z^18)/5)*Cf[z]^10*
          tS0[z] + ((-5373300985*z^6)/10368 + 570121778355*z^7 - 
           228921554760480000*z^8 + 35114465067512610816000*z^9)*Cf[z]^8*
          tS0[z]^2 + (2711375*Cf[z]^6*tS0[z]^3)/12)*tS1[z]^2 + 
       (((-86440516977529*z^14)/3009871872 + (17378700879803749*z^15)/
            290304 - (3096133922485404189*z^16)/70 + 
           (345492513462501826736256*z^17)/35 + 
           (141159045281690097516895469568*z^18)/35 - 
           (13359607907714029975408860601516032*z^19)/5 + 
           (2151363595806224620010890545011493961728*z^20)/5 + 
           (53613356254996398406152814198305351127793664*z^21)/5)*Cf[z]^11 + 
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         ((2123136395*z^4)/20736 - 117183883050*z^5 + 39341247205075200*z^6)*
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62749442557083648*z^40)/175 + 
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154757981221702074368*z^42)/35)*Cf[z]^14 + 
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         4327212415794963584800260096*z^14 + 
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       ((207235*z^4)/108 - 169286392800*z^5 + 72166776101683200*z^6)*Cf[z]^6*
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           (12746118947800536343*z^26)/831600 + (649749873160868547785742*
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           (232560576511721171320364008264846073081900832061061377032192*
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           (8853501672831311512625573895962365699551713679654578449551458304*
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7192693023834112*z^36)/7)*Cf[z]^13 + ((23587694585801*z^18)/6772211712 - 
           (123954845747927209*z^19)/13063680 + (573904649072763119*z^20)/
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           (89600467208566571887838625792*z^22)/25 - 
           (36281851053996672018380070649331712*z^23)/35 + 
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           (1955348040328539758825472*z^15)/35 - 
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           (211028563664762478780024*z^23)/175 - 
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           (51461749107978609721383919758349458850531168069443850862592*z^30)/
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       (((288467338300207*z^16)/72236924928 - (32928081094235023*z^17)/
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           (67120231565670635872512*z^19)/5 + (152928323122378548587673305088*
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           (1084279709943530996624689480081537499136*z^22)/7 + 
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           (3508828591477941247901213844352070603449678430208*z^24)/35)*
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          Cf[z]^7*tS0[z]^2)*tS1[z]^3 + 
       (((2320708694579*z^12)/1504935936 + (443139461102183*z^13)/12096 - 
           (2287971928912049199*z^14)/35 + (1540843848756738478047744*z^15)/
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           (5673556307153731874873868929728512*z^17)/5 + 
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       ((1418792045*z^4)/4608 - (674934931845*z^5)/2 + 100265179551932160*
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     S2[z]^6*(((-3334124737551095*z^30)/15166286862483456 + 
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         (3227391975438792624118237900802736726474749991235205726208*z^39)/
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         (544606221125227194405178004464906397907875723357627747452059648*
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         (829055404803039179393515710116367558279110468236046080520195407872*
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526235557829279744*z^42)/175 + 
         (1076374399464713339129776220351121638094977981132225630957160685386\
65926656*z^43)/35 - (37888047475351792654361512151531383552623160796345978428\
9794808750333583425536*z^44)/5 + (1961544462446561392238211785943055647289321\
6858456114754452168891385906772477739008*z^45)/25)*Cf[z]^14 + 
       ((191699051072057633*z^24)/3861786006650880 - 
         (25933735074803403437*z^25)/155196518400 + 
         (37919470128062085787*z^26)/142560 - (364838660506052944589232*z^27)/
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         (879638847022107097746278191664726016*z^29)/9625 + 
         (63812247744274495793821281142389067481088*z^30)/1925 - 
         (83577963504495596409940977906999777050329350144*z^31)/9625 + 
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         (2659444562252192629671998003351662215374414105735799068688384*z^34)/
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         (3040340598342635363609898547370296148662059325944265120231194624*
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9002543833088*z^36)/5)*Cf[z]^12*tS0[z] + ((-2952123133535*z^18)/5804752896 + 
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         (355242446748699135685632*z^21)/175 - (44027580392266279121057415168*
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         (814444404266767422824553370032279650304*z^24)/7 + 
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         (144806886719178596608350715073339883791801399321296896*z^27)/5)*
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         (38469256211696777183232*z^15)/35 + (13678214524382286612051001344*
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         28233973565758293365523810829322944512*z^18)*Cf[z]^8*tS0[z]^3 + 
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       2013125*Cf[z]^4*tS0[z]^5 + 
       (((1390800827876687*z^26)/210642873090048 - 
           (137996555407919509429*z^27)/6518253772800 + 
           (4895984641760587780847*z^28)/139708800 - 
           (2770116352120330952736834*z^29)/67375 + 
           (2498431932617603084928913471488*z^30)/67375 - 
           (343571876892088401112544230436634624*z^31)/13475 + 
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           (328360304373880602662361748788933551316032028672*z^33)/67375 + 
           (87444991310020339642221440005082237186532682714054656*z^34)/
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           (2287677943081599949742103556060545852423251159011729342464*z^35)/
            9625 + 
           (4883284876377199665284063171775106567485960805823413827403776*
             z^36)/175 - (396031747275969357208154444682779077582998487442260\
93174502719488*z^37)/25 + 
           (22518478497429567008413113527919256155592687810822187997309650652\
3648*z^38)/5 - 
           (23462087604114501320619505664507994866928880545104821921879274262\
59484672*z^39)/5)*Cf[z]^13 + ((-1165741537200187*z^20)/975198486528 + 
           (264079185545124619*z^21)/78382080 - (18704217371602283039*z^22)/
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           (346622798384372368440696250368*z^24)/175 + 
           (131291972326841331355850953092759552*z^25)/175 - 
           (34350257240716074836543476441441659518976*z^26)/175 + 
           (6024778922987794382358882644310103425074331648*z^27)/175 - 
           (659640185116182482140183033793663947132855067344896*z^28)/175 + 
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           (23807840028765776046880285833522358455319161099993904840704*z^30)/
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           (43160763931633*z^15)/2268 + (923654597691562272*z^16)/35 - 
           (3480286797267434435579904*z^17)/175 + 
           (1467106419197095510031655763968*z^18)/175 - 
           (344831093250704952326260848888643584*z^19)/175 + 
           (1168871418327658122106693630182851346432*z^20)/5 - 
           (43173925265134580239780233564111569864884224*z^21)/5)*Cf[z]^9*
          tS0[z]^2 + ((6684376795*z^8)/15552 - 355091048728*z^9 + 
           59018877403858944*z^10 + 14818125532801425997824*z^11 - 
           4033492503445876153748815872*z^12)*Cf[z]^7*tS0[z]^3 + 
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       (((-723297512740553*z^22)/5851190919168 + (398110389174881287*z^23)/
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           (6746064137214891146388*z^25)/125 + (52998152132930307595896241152*
             z^26)/875 - (9022139011577678005583728798334976*z^27)/875 - 
           (9893934937019648493513374399015958872064*z^28)/875 + 
           (6916259482336463864367897052947459779869016064*z^29)/875 - 
           (409418543144716682209954649275132868373150525554688*z^30)/175 + 
           (61668505438954271246799559212698673547247800243628015616*z^31)/
            175 - 
           (68658042763665653089162654097337262410081028621331601555456*z^32)/
            5 + 
           (911320136170107103807859791483140324083273992270571992327913472*
             z^33)/5)*Cf[z]^12 + ((592855966010899*z^16)/54177693696 - 
           (1283073989022547*z^17)/51840 + (4479200256028062909*z^18)/175 - 
           (547229773464047102121984*z^19)/35 + 
           (1064549880468344627484115009536*z^20)/175 - 
           (266719930385478827970194730463002624*z^21)/175 + 
           (5923276315076696631811544662977527414784*z^22)/25 - 
           (101155573537217109923750589491550318898446336*z^23)/5 + 
           (4736859261334524167328295001270219230773308817408*z^24)/5)*
          Cf[z]^10*tS0[z] + ((-25439626855*z^10)/746496 + 
           (4155429739757*z^11)/48 - 86914861844772816*z^12 + 
           40309277846971678212096*z^13 - 9144487112043365469605855232*z^14 + 
           909240201602331739223566929887232*z^15)*Cf[z]^8*tS0[z]^2 + 
         ((-46350805*z^4)/36 + 425864649600*z^5 - 9266578528665600*z^6)*
          Cf[z]^6*tS0[z]^3)*tS1[z]^2 + 
       (((35668603032745*z^18)/20316635136 - (43073541775633067*z^19)/
            17418240 + (4478353002390589*z^20)/20 + 
           (297857923814263738896288*z^21)/175 - 
           (261348224530981706925022273536*z^22)/175 + 
           (4064211405725741843640021940174848*z^23)/7 - 
           (18134607228574657039974515413756661465088*z^24)/175 + 
           (154013858267514223709665640754185600212402176*z^25)/175 + 
           (12223094752780092433472930799367104386278078021632*z^26)/5 - 
           (233688766832437171363812215272953770961166701881720832*z^27)/5)*
          Cf[z]^11 + ((-109675968259*z^12)/2322432 + (241935416601839*z^13)/
            3024 - (2050491401173828584*z^14)/35 + 
           (817860384777051203088384*z^15)/35 - 
           (183477902696786339421885038592*z^16)/35 + 
           (2915515427078303334565512134787072*z^17)/5 - 
           5325875736565630982107951906833825792*z^18)*Cf[z]^9*tS0[z] + 
         ((3935790425*z^6)/31104 - 154934406810*z^7 + 47226470901373440*z^8 - 
           2048431977275011891200*z^9)*Cf[z]^7*tS0[z]^2 - 
         (469250*Cf[z]^5*tS0[z]^3)/3)*tS1[z]^3 + 
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314782653215932416*z^45)/79625 + 
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87126992186854592502300672*z^47)/175175 + (1415637251915640314152598001491143\
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           (4014435234026390233898241*z^33)/250250 - 
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62176*z^47)/875875 - 
           (34396211139695112499000823117384957637221272355634363879578900755\
5567550464*z^48)/875875 + (33909548467350839849521674356117646461649824326582\
82627776015087486203076804608*z^49)/67375 - (42169693019207687910283619215266\
13967918956023098286895108791458244489300352771817472*z^50)/875875 + 
           (58427264787668432572546086097775860299336124313725533574099079735\
964250963132142321664*z^51)/175 - (277962520504765360629521999341902953003869\
5611675357950060208459587495379468684206974959616*z^52)/175 + 
           (16255115193206597160638522410206077359270613700195015234643056751\
393370199621313560780245827584*z^53)/35 - (2205341787421043360407490379623205\
77584016596194763674124317625228079335996967086333682254545420288*z^54)/35)*
          Cf[z]^13 + (-852872494347730944/5 + (643441670182909526409216*z)/
            5 + ((-888450070873466117*z^30)/65891723738480640 + 
             (459042351780306378541*z^31)/10592162380800 - 
             (135397496647886822445937*z^32)/3405402000 - 
             (56695370843045797135493048*z^33)/2627625 + 
             (353867779345180088679199266392064*z^34)/4379375 - 
             (34228637457752737491331592191732088832*z^35)/398125 + 
             (237351954855330986974188432680613828479680512*z^36)/4379375 - 
             (101676138458552704393720403934972805327881517400064*z^37)/
              4379375 + 
             (6242718486057941985632906889008709542326522985356197888*z^38)/
              875875 - 
             (280974775526299466513740561402635620781603591088743672446976*z^
                39)/175175 + (46592284407025505845114842489625507561566903291\
915305030246203392*z^40)/175175 - 
             (563963843203718870631375999240345068956310513242785439983787735\
5675648*z^41)/175175 + 
             (484822180709627422041597413955330192550938540712241207816958345\
461366784*z^42)/175 - 
             (281305398518858787001432429039697761772177370084855513777160740\
72027848245248*z^43)/175 + (3951307123805331157846548069635108417348450035900\
2318588268386303795509694824448*z^44)/7 - (3175306530199253492664273897461852\
212007107736788460911037237570935918829606163972096*z^45)/35)*Cf[z]^11)*
          tS0[z] + (4860459736015306752 + ((3991496496123277*z^24)/
              46931427164160 + (17595981550240181999*z^25)/7544275200 - 
             (19441396843638588710723*z^26)/2425500 + 
             (760931582314482315687593088*z^27)/67375 - 
             (606822294382114184337605477105664*z^28)/67375 + 
             (44153875651631798658625127529257631744*z^29)/9625 - 
             (106529738615646345680862999863653978041483264*z^30)/67375 + 
             (1020315096603945678758869309386482904742131400704*z^31)/2695 - 
             (852250765436601217949298044577367725720367774209933312*z^32)/
              13475 + 
             (1268202469633346607680350886705329635148462899685390024704*z^
                33)/175 - (13592392919109030217310036717010274843258365754323\
620107124736*z^34)/25 + 
             (120437339887806521866206894468018433571578318965792444926285316\
096*z^35)/5 - 
             (239151315253595576470296442818639381788217727725974034444370608\
0755712*z^36)/5)*Cf[z]^9)*tS0[z]^2 + ((997937514935*z^18)/11757312 - 
           (316936626833938*z^19)/945 + (84326576078125276992*z^20)/175 - 
           (44400182375814551367892992*z^21)/125 + 
           (27008282397860880210376978857984*z^22)/175 - 
           (7348352949107835801610950752889470976*z^23)/175 + 
           (50825093297167626531337170507927826464768*z^24)/7 - 
           (27187242570477470276110270858812419346555469824*z^25)/35 + 
           46958085759233637786248667313353702492320997310464*z^26 - 
           1228107282291739791490544070695387829674646555982823424*z^27)*
          Cf[z]^7*tS0[z]^3 + ((-491835105665*z^12)/108864 + 
           (63589849792816*z^13)/7 - (229630380863169881088*z^14)/35 + 
           (16250226616193026533359616*z^15)/7 - 
           (3053949997189190162505686581248*z^16)/7 + 
           41880569208230275782050686477271040*z^17 - 
           1617537867247665780530987076399031910400*z^18)*Cf[z]^5*tS0[z]^4 + 
         (72691300*z^6 - 56089569899520*z^7 + 13402894647774412800*z^8 - 
           1010348853731540965785600*z^9)*Cf[z]^3*tS0[z]^5 - 
         214740000*Cf[z]*tS0[z]^6)*tS1[z] + (-2333154461851267891200 + 
         ((-17613186210060119*z^32)/12750023641006080 + 
           (37890798480592936235239*z^33)/5084237942784000 - 
           (125266705837756481986919*z^34)/7429968000 + 
           (1716775422909130160053132987*z^35)/78828750 - 
           (7270669121519134184749837601472*z^36)/398125 + 
           (46649174606462641303405871150684848128*z^37)/4379375 - 
           (1793001357581118046647215876952505863634944*z^38)/398125 + 
           (6199707139144562349249423018676405713531366801408*z^39)/4379375 - 
           (133746141636848236576435660376435442881211850542809088*z^40)/
            398125 + 
           (53169696005076755703671225045419228452572830095538636455936*z^41)/
            875875 - 
           (7353073840967119454643823862585405915451209403057875541729214464*
             z^42)/875875 + (781802935908735887500991151778010513831852883324\
535277797905832869888*z^43)/875875 - 
           (64064482464240357152033524022553478916869675695291549790349639141\
711413248*z^44)/875875 + 
           (81286931047715994522686712901259669955224185350147152316416044659\
7007671296*z^45)/175 - (38742866614781790765911357106635693536665096395666308\
361184791620946950317146112*z^46)/175 + (247205561864302159625603198697363656\
237543929044123954659204764045699056028920840192*z^47)/35 - 
           (38772445644082412065377692738755843774276169298488097968920290924\
03435745395293514891264*z^48)/35)*Cf[z]^12 + 
         ((14538741860641769*z^26)/51197920542720 - 
           (11490743741607963487*z^27)/12070840320 + 
           (18831059622173406919849*z^28)/14553000 - 
           (62493428255749950440210112*z^29)/67375 + 
           (700368260827240110739183017984*z^30)/1925 - 
           (3852178045720114985909618887417135104*z^31)/67375 - 
           (204346627088767947959531175454667981193216*z^32)/13475 + 
           (753767386736865814557193343054294297415807664128*z^33)/67375 - 
           (1219664419941862068796710602872150740258979055665152*z^34)/385 + 
           (1451194370575243946454265546129013044506216394661396742144*z^35)/
            2695 - 
           (10269459217624695747207426583409738503928201180579426721595392*
             z^36)/175 + (704198288335353993836860410290852137373392104066561\
595267438608384*z^37)/175 - 
           (79121984025679580561619005606396660301510248204544808818192180628\
6848*z^38)/5 + 
           (13629538434758770373927245448051558966716874955804467632811184408\
823332864*z^39)/5)*Cf[z]^10*tS0[z] + ((-125315102693*z^20)/13436928 + 
           (2523594202218401*z^21)/362880 + (5136067407114718107*z^22)/350 - 
           (21539644582692250185414912*z^23)/875 + 
           (2039768174839946789868254429184*z^24)/125 - 
           (1072998924760292402958446298333708288*z^25)/175 + 
           (251060400557025724635582616753631504891904*z^26)/175 - 
           (7474065904569796388343158148220032860288974848*z^27)/35 + 
           (689232974530477494498095814757825151079433415688192*z^28)/35 - 
           1025878841981615336742338571492573305525965418297032704*z^29 + 
           23087591375735479052694071650230497221535770962991257747456*z^30)*
          Cf[z]^8*tS0[z]^2 + ((-140926881173*z^14)/326592 + 
           (9696250684978*z^15)/7 - (242817861685703703552*z^16)/175 + 
           (4644083508346399819825152*z^17)/7 - 
           (6065121000954372914184022130688*z^18)/35 + 
           (889153933968185080650437617961140224*z^19)/35 - 
           1963517113967452765569077820674883452928*z^20 + 
           62231184749240013958166567730784440372166656*z^21)*Cf[z]^6*
          tS0[z]^3 + ((1959921325*z^8)/96 - 23098371764256*z^9 + 
           8521363912489574400*z^10 - 1288663604464074841128960*z^11 + 
           68917716492656780456000225280*z^12)*Cf[z]^4*tS0[z]^4 + 
         (-149813400*z^2 + 26396845056000*z^3)*Cf[z]^2*tS0[z]^5)*tS1[z]^2 + 
       (((79381360039884179*z^28)/5406500409311232 - 
           (26748174174548770697*z^29)/362125209600 + 
           (10728786743689184860499*z^30)/69854400 - 
           (1116666840898275746611582*z^31)/6125 + 
           (47616798749315432390810924341248*z^32)/336875 - 
           (5179250046601553573588849496979144704*z^33)/67375 + 
           (2058189844623072164539511367158033824088064*z^34)/67375 - 
           (87327860957441986131229450422517923021657735168*z^35)/9625 + 
           (136984404461205674601864329202389505103092917402075136*z^36)/
            67375 - 
           (4624076406312079031931599424542770298398941933586247319552*z^37)/
            13475 + 
           (52725972446469746141815735896373995444879111432370950978404352*
             z^38)/1225 - (68102382622661030953728150343870977786084020027302\
4191397546164224*z^39)/175 + 
           (42105243066842151357443557747293432267459246915334981680918321029\
971968*z^40)/175 - 
           (45419922678555140940554073538597149114167966474675452298467937964\
653543424*z^41)/5 + (78756550755947998190586812276120960861235604359735442728\
8399035572061810458624*z^42)/5)*Cf[z]^11 + 
         ((-313463857700323*z^22)/101583175680 + (158298128603749087*z^23)/
            16329600 - (2275567818285948869*z^24)/175 + 
           (8826093603884919932742528*z^25)/875 - 
           (4472260985506871584837783093248*z^26)/875 + 
           (1570258877465887897770101237574795264*z^27)/875 - 
           448098683875610499184674548819806912512*z^28 + 
           (13959556418057049038402810702505866501195563008*z^29)/175 - 
           (49615152010395768517934805256470914899326636392448*z^30)/5 + 
           (28722658792468462192048316961184425233021835787383078912*z^31)/
            35 - 
           (202597679264133601176572197464785940610181890168091043692544*
             z^32)/5 + 
           903539545032345996322275225656623733280444765543260348227780608*
            z^33)*Cf[z]^9*tS0[z] + ((3106110414985*z^16)/23514624 - 
           (1837194354663701*z^17)/7560 + (33940616409431134416*z^18)/175 - 
           (15853417974815940693614592*z^19)/175 + 
           (4800269784549278139890084610048*z^20)/175 - 
           (192348262969645579767263863328735232*z^21)/35 + 
           (24602387985471040447237748755392859471872*z^22)/35 - 
           51751470033785490744863601630436372173029376*z^23 + 
           1661322473304638473357334791062588433225960390656*z^24)*Cf[z]^7*
          tS0[z]^2 + ((-89405285*z^10)/144 + 312078694224*z^11 - 
           154155371049824256*z^12 + 68134709629358941667328*z^13 - 
           13730825935658412664348999680*z^14 + 
           948315828339775041717804371804160*z^15)*Cf[z]^5*tS0[z]^3 + 
         ((-94034075*z^4)/6 + 3647755814400*z^5 - 38137226526720000*z^6)*
          Cf[z]^3*tS0[z]^4)*tS1[z]^3 + 
       (((-4869479585616059*z^24)/61298190581760 + (6563928638020253683*z^25)/
            17244057600 - (31244128920396443111*z^26)/44000 + 
           (1006122293957383178020704*z^27)/1375 - 
           (23035344539886667300668640206336*z^28)/48125 + 
           (292779599809370722736453235909328896*z^29)/1375 - 
           (642067617758305654842056473861728466108416*z^30)/9625 + 
           (28724923264606020219819846655244086888970059776*z^31)/1925 - 
           (4572682156972743781255236745593512006421566101389312*z^32)/1925 + 
           (6585386267858480729302427094845958713691285351435337728*z^33)/
            25 - 
           (3380496472097671829922426836384516512397629136283426229321728*
             z^34)/175 + 
           (4260709618417922786294296441773465925668075241623138888755183616*
             z^35)/5 - (85151702763550085431654263443792105473875163788052021\
815461749456896*z^36)/5)*Cf[z]^10 + ((40919914846705*z^18)/2257403904 - 
           (35686441169269013*z^19)/725760 + (9759779800966363821*z^20)/175 - 
           (30950777099059765226572032*z^21)/875 + 
           (2442956840788729820910470627328*z^22)/175 - 
           (625645983867867659287760638895456256*z^23)/175 + 
           (4174294127414556833426263371407985475584*z^24)/7 - 
           (2191808865770802765774793059574161893612322816*z^25)/35 + 
           3764519726496539949915990212401952848490514087936*z^26 - 
           98743639532141392148999707975978394349266943344640000*z^27)*
          Cf[z]^8*tS0[z] + ((-4039429271525*z^12)/5225472 + 
           (260560817604139*z^13)/210 - (5656426831539453600*z^14)/7 + 
           (9556727137525857869807616*z^15)/35 - 
           (353825756788997620638658068480*z^16)/7 + 
           4867731735029571537536618858545152*z^17 - 
           190789883352871657683382316640698892288*z^18)*Cf[z]^6*tS0[z]^2 + 
         ((80767550*z^6)/9 - 7131351723840*z^7 + 1770201407534284800*z^8 - 
           139107301568164764057600*z^9)*Cf[z]^4*tS0[z]^3 - 
         29328000*Cf[z]^2*tS0[z]^4)*tS1[z]^4 + 
       (((20003469543721*z^20)/180592312320 - (1157116938432653*z^21)/
            1555200 + (52543207484907103*z^22)/40 - 
           (995236593411268736044416*z^23)/875 + 
           (509311303890083060612975566848*z^24)/875 - 
           (33324366981426602980123062665478144*z^25)/175 + 
           (7179932354074126010439057906545241096192*z^26)/175 - 
           (202927824163733322546189090918109515104649216*z^27)/35 + 
           (3621345608452930869193021734636755580196434739200*z^28)/7 - 
           (129082486021678730344372610491304768491104255269142528*z^29)/5 + 
           594977549131806376004675465065420249415436732473070845952*z^30)*
          Cf[z]^9 + ((-813022392209*z^14)/15676416 + (3107836693201*z^15)/
            28 - (16193759989822955424*z^16)/175 + 
           (1403079367159922007638016*z^17)/35 - 
           (346694940882165661508164386816*z^18)/35 + 
           (49344478352968197519295754746724352*z^19)/35 - 
           107685231184598856071564146074269515776*z^20 + 
           3423926030332902061329326875435959507222528*z^21)*Cf[z]^7*tS0[z] + 
         ((243179755*z^8)/128 - 1930007698632*z^9 + 680460164462223360*z^10 - 
           101019630804358909132800*z^11 + 5382300041043719079969423360*z^12)*
          Cf[z]^5*tS0[z]^2 + (-13567400*z^2 + 2366019072000*z^3)*Cf[z]^3*
          tS0[z]^3)*tS1[z]^5 + (((6522908201939*z^16)/6019743744 - 
           (15657216502111*z^17)/10080 + (169379148045661272*z^18)/175 - 
           (12903282598641480635904*z^19)/35 + (707942268214107185885478912*
             z^20)/7 - (726997530950289598606586866040832*z^21)/35 + 
           2985863371406220938225584344152408064*z^22 - 
           256546032978722558651374358119014205489152*z^23 + 
           13488024629524884316881896428606361380526751744*z^24)*Cf[z]^8 + 
         ((481135223*z^10)/15552 - (443860621569*z^11)/10 + 
           18741506975111808*z^12 - 3032952406684558295040*z^13 + 
           138043883509797704083439616*z^14 + 4765987375440982875473707008000*
            z^15)*Cf[z]^6*tS0[z] + ((-10185335*z^4)/9 + 302270745600*z^5 - 
           12589348080844800*z^6)*Cf[z]^4*tS0[z]^2)*tS1[z]^6 + 
       (((-130002364637*z^12)/20901888 + (7849586065141*z^13)/840 - 
           (204535391233365432*z^14)/35 + (67363997155693545443328*z^15)/35 - 
           (12216134332874333516560072704*z^16)/35 + 
           32699375199288839950636444286976*z^17 - 
           1165846263213782543518720548132618240*z^18)*Cf[z]^7 + 
         ((15520625*z^6)/108 - 118149989040*z^7 + 30150255385497600*z^8 - 
           2424607799886898790400*z^9)*Cf[z]^5*tS0[z] - 
         760000*Cf[z]^3*tS0[z]^2)*tS1[z]^7 + 
       (((5176613*z^8)/432 - 11582143428*z^9 + 3986719499575296*z^10 - 
           585450710251854888960*z^11 + 31101508975448633785712640*z^12)*
          Cf[z]^6 + ((-528550*z^2)/3 + 30513024000*z^3)*Cf[z]^4*tS0[z])*
        tS1[z]^8 + ((-408025*z^4)/72 + 1598486400*z^5 - 84797765222400*z^6)*
        Cf[z]^5*tS1[z]^9 - 2000*Cf[z]^4*tS1[z]^10)
 
Ff[9] = 833462324527155704101216316138189/
      9339828971593245072893958684672000 + 
     (37386779532088591840572487615441*z)/1317006242158909593747456000 + 
     (2105015740551919934441589582737*z^2)/838019178971464089600 + 
     (9538411285737134058805949671*z^3)/9930152232000 - 
     (427394480008750846779989027764*z^4)/212837625 + 
     (2027217313965098373337285165056*z^5)/1225 - 
     (948790654341622247253842134346760192*z^6)/1225 + 
     (4758008068363919704613216696806888439808*z^7)/25 - 
     (3338326076277934038210969384965527740283355136*z^8)/175 + 
     ((-166625085425454674014543853199427*z^48)/
        1867965794318649014578791736934400 + 
       (661307996774955417811303522227109*z^49)/
        2780346511224364697911296000 - (1769765889692383427778616364760109*
         z^50)/6094684937974284288000 + (2132727447276664372866214015977737*
         z^51)/9978699642912000 - (269040727926658386552930258878717447*z^52)/
        2566537974000 + (70420789683915403805516700282853261536*z^53)/
        1980353375 - (16393833254094564637003136050749267399057408*z^54)/
        1980353375 + (2408314089469605287389562770452129781179048001536*z^55)/
        1980353375 - (10684631113796543492767721807147442982920984182390784*
         z^56)/152334875 - 
       (1426809072827181929172157247791585535385540647534746140672*z^57)/
        116491375 + 
       (6569410314551240534912918086713227644353867236392583295330680832*
         z^58)/1980353375 - 
       (12609347297944426119553960274729838346268345760753603639839519932416*
         z^59)/40415375 + (98412618504641440328328407758512469852386632628982\
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         1130707407055017717664862089297271331961700352*z^23 - 
         33037777882101696166443569420362843989928279277568*z^24)*Cf[z]^7*
        tS0[z]^2 + ((26253976765*z^10)/648 - 60324899592882*z^11 + 
         31663542381461733888*z^12 - 7749854817240743108149248*z^13 + 
         906479063263074640119484907520*z^14 - 
         41055259301843418506416509293690880*z^15)*Cf[z]^5*tS0[z]^3 + 
       (-467105250*z^4 + 190575856512000*z^5 - 19099332015685632000*z^6)*
        Cf[z]^3*tS0[z]^4)*tS1[z]^5 + 
     (((-750621764479968961*z^24)/3003611338506240 + 
         (43692214478649855127*z^25)/120708403200 + 
         (1546873487705677572431*z^26)/9702000 - 
         (48376245539319212224414728*z^27)/67375 + 
         (48442965185520235054137177027072*z^28)/67375 - 
         (765023334205790932087054360145559552*z^29)/1925 + 
         (9520717306034243590630733175139977199091712*z^30)/67375 - 
         (91997237912082964247970788619836808527635021824*z^31)/2695 + 
         (76679907464962832832455399503606729174144322302377984*z^32)/13475 - 
         (113068219843791486916579866891560493307215665264634888192*z^33)/
          175 + 
         (8408398440144569126548963047110180861716532552423806227972096*z^34)/
          175 - 
         (10354979262392181849324114954406899806718756522305243121708957696*
           z^35)/5 + (1992268915493360510642106847656386440054259979598742694\
49330781847552*z^36)/5)*Cf[z]^10 + ((-83191944304895*z^18)/4514807808 + 
         (128195142516904123*z^19)/1451520 - (9143681330881410147*z^20)/70 + 
         (83061446184691712376087168*z^21)/875 - 
         (1400804809410932870748395175936*z^22)/35 + 
         (1836281755747492180445878746813038592*z^23)/175 - 
         (8711309565728795576799286082790160859136*z^24)/5 + 
         (893322051078675317099425780994394932140572672*z^25)/5 - 
         10336821051417345528905606601107872378227058016256*z^26 + 
         259645898030646474076617571433218226763890048234422272*z^27)*Cf[z]^8*
        tS0[z] + ((1405205597399*z^12)/580608 - (316393656469857*z^13)/70 + 
         (104306311180559071008*z^14)/35 - (33608507774786087962558464*z^15)/
          35 + (1151000616745831105313969799168*z^16)/7 - 
         14396210759666430140319579494154240*z^17 + 
         507300909053425154535315222543470690304*z^18)*Cf[z]^6*tS0[z]^2 + 
       ((-854015065*z^6)/18 + 25707474567360*z^7 - 4501358561561886720*z^8 + 
         250726984092052409548800*z^9)*Cf[z]^4*tS0[z]^3 - 
       96540000*Cf[z]^2*tS0[z]^4)*tS1[z]^6 + 
     (((1277302329887713*z^20)/541776936960 - (2146013046194161*z^21)/
          358400 + (9392662344818092013*z^22)/1400 - 
         (3880172972849807020519584*z^23)/875 + 
         (1683899346920039708092832047104*z^24)/875 - 
         (100253879208739552540036598140502016*z^25)/175 + 
         (2952869082475989520247449665833552314368*z^26)/25 - 
         (580199449556232865061477979484110338786328576*z^27)/35 + 
         (52924825424185106100602798879308771537517379846144*z^28)/35 - 
         (394095785676125195126910301117543788665403317396963328*z^29)/5 + 
         1947410790887887029138118197453233403184479560057726435328*z^30)*
        Cf[z]^9 + ((-4155318904939*z^14)/31352832 + (387015051233177*z^15)/
          1680 - (31757728247153040096*z^16)/175 + 
         (2805839551100293109968896*z^17)/35 - 
         (734509523138248118721699643392*z^18)/35 + 
         (16155775496657035443844859950006272*z^19)/5 - 
         270616372206163068899632110226246729728*z^20 + 
         9555158908657542380850838239269365821210624*z^21)*Cf[z]^7*tS0[z] + 
       ((757772065*z^8)/288 - 3771543767904*z^9 + 1618166751339294720*z^10 - 
         279250958072518693355520*z^11 + 17060078166722817279739822080*z^12)*
        Cf[z]^5*tS0[z]^2 + (-58561800*z^2 + 11789784576000*z^3)*Cf[z]^3*
        tS0[z]^3)*tS1[z]^7 + 
     (((-222186034609075*z^16)/24078974976 + (1015425492891721*z^17)/48384 - 
         (7027352024123596401*z^18)/350 + (73902768143277180701952*z^19)/7 - 
         (586938489993571295786482630656*z^20)/175 + 
         (23189650993437727798990805303033856*z^21)/35 - 
         (2790297334692189172605555756086543253504*z^22)/35 + 
         5355468132801836278790163491611657749135360*z^23 - 
         144264541452529366506314996879967352677570969600*z^24)*Cf[z]^8 + 
       ((18663779449*z^10)/31104 - (4141850211341*z^11)/5 + 
         418536796980886272*z^12 - 100203419952023178313728*z^13 + 
         11560991816251075320392712192*z^14 - 
         519004158495504212573188238868480*z^15)*Cf[z]^6*tS0[z] + 
       ((-66913105*z^4)/6 + 4514639846400*z^5 - 449324444093644800*z^6)*
        Cf[z]^4*tS0[z]^2)*tS1[z]^8 + 
     (((26135777615*z^12)/1741824 - (349580864085*z^13)/14 + 
         (549105126253661088*z^14)/35 - (173520764203254692511744*z^15)/35 + 
         (29721227430169083059877445632*z^16)/35 - 
         76091128944224744821299779469312*z^17 + 
         2946504204384853096281709267434602496*z^18)*Cf[z]^7 + 
       ((-136007915*z^6)/216 + 358466870880*z^7 - 66399812953251840*z^8 + 
         3977302558253462323200*z^9)*Cf[z]^5*tS0[z] - 
       1444000*Cf[z]^3*tS0[z]^2)*tS1[z]^9 + 
     (((3651197*z^8)/1152 - 6488034492*z^9 + 3143640528036864*z^10 - 
         580764928194301132800*z^11 + 37164072512724105638707200*z^12)*
        Cf[z]^6 + ((-1307900*z^2)/3 + 87153408000*z^3)*Cf[z]^4*tS0[z])*
      tS1[z]^10 + ((-83695*z^4)/3 + 11195884800*z^5 - 1105805426688000*z^6)*
      Cf[z]^5*tS1[z]^11 - 2500*Cf[z]^4*tS1[z]^12 + 
     S2[z]^22*(((-18022643875*z^4)/884736 - (20006105328945*z^5)/512 + 
         28847184897981060*z^6)*Cf[z]^16 + (9089603975*Cf[z]^15*tS1[z])/
        24576) + S2[z]^21*(((542753616625*z^6)/7077888 - 
         (75290863920165*z^7)/1024 - (20214011065444785*z^8)/2 + 
         13896420378515998715520*z^9)*Cf[z]^16 + (3999938975*Cf[z]^14*tS0[z])/
        49152 + ((-396867258425*z^2)/589824 + (79402628012175*z^3)/128)*
        Cf[z]^15*tS1[z]) + S2[z]^20*(((-6984111172465*z^8)/382205952 + 
         (212061813559055*z^9)/2048 - (613590027559557111*z^10)/8 + 
         6235733305920874905504*z^11 + 4380489707670297325770375168*z^12)*
        Cf[z]^16 + ((-2841321175*z^2)/18432 + (8477692670475*z^3)/64)*
        Cf[z]^14*tS0[z] + ((-1226928746875*z^4)/5308416 - 
         (22738508565885*z^5)/32 + 467472312577438380*z^6)*Cf[z]^15*tS1[z] + 
       (866193649175*Cf[z]^14*tS1[z]^2)/294912) + 
     S2[z]^19*(((-136574052521045*z^10)/2293235712 + (43965205855925*z^11)/
          1024 + (79731981098187759*z^12)/2 - 38250430398763633981152*z^13 + 
         5825993324775957136053190656*z^14 + 
         935732521127086401934471068647424*z^15)*Cf[z]^16 + 
       ((-11593553125*z^4)/663552 - (10646021754585*z^5)/64 + 
         96893546706084240*z^6)*Cf[z]^14*tS0[z] + 
       (((18371349438125*z^6)/15925248 - (253088988430215*z^7)/256 - 
           209109269735706645*z^8 + 208077122733328475412480*z^9)*Cf[z]^15 + 
         (42670410475*Cf[z]^13*tS0[z])/36864)*tS1[z] + 
       ((-2347465527275*z^2)/442368 + (18218243354625*z^3)/4)*Cf[z]^14*
        tS1[z]^2) + S2[z]^18*(((387985400614985*z^12)/10319560704 - 
         (3891843433461437*z^13)/36864 + (153937535832983475*z^14)/2 - 
         6854156420021395040160*z^15 - 9869465209762968170782629888*z^16 + 
         2208079392869846070741244160507904*z^17 + 
         133991914797922238902422175587854450688*z^18)*Cf[z]^16 + 
       ((207921780695*z^6)/995328 - (4838829156825*z^7)/32 - 
         59277027151367280*z^8 + 41994451476998482037760*z^9)*Cf[z]^14*
        tS0[z] + (7260921425*Cf[z]^12*tS0[z]^2)/36864 + 
       (((-19655783577455*z^8)/47775744 + (783447011128645*z^9)/512 - 
           (2029465584127220409*z^10)/2 + 60758978156107194783744*z^11 + 
           60328184961690431340784386048*z^12)*Cf[z]^15 + 
         ((-6540936325*z^2)/3072 + (27669729762675*z^3)/16)*Cf[z]^13*tS0[z])*
        tS1[z] + ((-2004895044175*z^4)/2654208 - (172164293858745*z^5)/32 + 
         3160800699235832160*z^6)*Cf[z]^14*tS1[z]^2 + 
       (1421935373275*Cf[z]^13*tS1[z]^3)/110592) + 
     S2[z]^17*(((2765227342675*z^14)/161243136 + (40856579727675379*z^15)/
          4644864 - (1544472660854722869*z^16)/28 + 
         (221769612885468073243104*z^17)/5 - (380541671794594014051003383808*
           z^18)/35 - 872743557128751200488256500137984*z^19 + 
         (2476057732856497764161483481560609980416*z^20)/5 + 
         (59051992448793245380799637325584365512556544*z^21)/5)*Cf[z]^16 + 
       ((-28337648647565*z^8)/286654464 + (107664450296065*z^9)/384 - 
         164139865420092561*z^10 + 1836387525102771220992*z^11 + 
         11962231594442613493610840064*z^12)*Cf[z]^14*tS0[z] + 
       ((-101628725*z^2)/288 + (2243352370275*z^3)/8)*Cf[z]^12*tS0[z]^2 + 
       (((-250205073026005*z^10)/382205952 + (348320168206171*z^11)/1152 + 
           (1259533459075964895*z^12)/2 - 484428230311290503469120*z^13 + 
           66569099934948017801981313024*z^14 + 
           11783742764839315489237440663650304*z^15)*Cf[z]^15 + 
         ((105364924925*z^4)/1990656 - (68997394646355*z^5)/32 + 
           1155370013209513440*z^6)*Cf[z]^13*tS0[z])*tS1[z] + 
       (((37159534199855*z^6)/5308416 - (1336190220757935*z^7)/256 - 
           1702250611141289220*z^8 + 1290055016518858712839680*z^9)*
          Cf[z]^14 + (743424805775*Cf[z]^12*tS0[z])/110592)*tS1[z]^2 + 
       ((-10122532933975*z^2)/442368 + (584938146948975*z^3)/32)*Cf[z]^13*
        tS1[z]^3) + S2[z]^16*(((-28469198069980123*z^16)/1300264648704 + 
         (4219828898328292639*z^17)/83607552 - (18385679902882713727*z^18)/
          560 - (105040645737567537126996*z^19)/35 + 
         (395166571224422188427241624576*z^20)/35 - 
         (140712139580581293069915183315419136*z^21)/35 + 
         (8518793955496785986156481043150141390848*z^22)/35 + 
         (345707620560005515357255942220498784032391168*z^23)/5 + 
         (2130935019187498635115380440159277315027917340672*z^24)/5)*
        Cf[z]^16 + ((-4567562101925*z^10)/53747712 + (1864038972113*z^11)/
          384 + (249320308694928039*z^12)/2 - 78764339968522500099456*z^13 + 
         8638169894090281340934193152*z^14 + 
         2344177759897619243598422879502336*z^15)*Cf[z]^14*tS0[z] + 
       ((-2511494365*z^4)/331776 - (2638084966515*z^5)/8 + 
         176920963042427280*z^6)*Cf[z]^12*tS0[z]^2 + 
       (((1351273328920355*z^12)/2675441664 - (695719278984105883*z^13)/
            580608 + (5341965099959766609*z^14)/7 - 
           (419415049896622812785376*z^15)/35 - 
           (4218598761054418998580795564032*z^16)/35 + 
           (120847352005658181801112525483278336*z^17)/5 + 
           (7644457562901923307846200906176285114368*z^18)/5)*Cf[z]^15 + 
         ((6499052133835*z^6)/2985984 - (86412067340915*z^7)/64 - 
           757014020670536460*z^8 + 454948512565270210191360*z^9)*Cf[z]^13*
          tS0[z] + (9956876275*Cf[z]^11*tS0[z]^2)/4608)*tS1[z] + 
       (((-207987510461675*z^8)/63700992 + (41837148091053035*z^9)/4608 - 
           5363059876252679034*z^10 + 175396144913878646815488*z^11 + 
           341308263880028126496506904576*z^12)*Cf[z]^14 + 
         ((-494510565725*z^2)/41472 + (146111959585575*z^3)/16)*Cf[z]^12*
          tS0[z])*tS1[z]^2 + ((3172423771025*z^4)/3981312 - 
         (88122692866065*z^5)/4 + 11577454048954668960*z^6)*Cf[z]^13*
        tS1[z]^3 + (4992806272775*Cf[z]^12*tS1[z]^4)/147456) + 
     S2[z]^15*(((81978074842348849*z^18)/53496602689536 - 
         (19270349695331679689*z^19)/1003290624 + (47769794380078629335*z^20)/
          1344 - (910735882391646583146648*z^21)/35 + 
         (36810175352755065069093654528*z^22)/5 + 
         (19314644248254722765471340957794304*z^23)/35 - 
         (25281692587957982025241351730094831304704*z^24)/35 + 
         (3386187108082925831649062760763738590623563776*z^25)/35 + 
         (189960408480400233560334772740540993918367231377408*z^26)/35 - 
         (819715170298665633345764708259766821241996236583600128*z^27)/35)*
        Cf[z]^16 + ((8429392980310265*z^12)/108355387392 - 
         (867781245144071*z^13)/5376 + (1197188409650878305*z^14)/14 + 
         (431484594205699495740672*z^15)/35 - (707074373646659615044250566656*
           z^16)/35 + (16993804688680711898876112795598848*z^17)/5 + 
         (1599568694718086122126924528867275177984*z^18)/5)*Cf[z]^14*tS0[z] + 
       ((25162593895*z^6)/62208 - (8662565357355*z^7)/32 - 
         91941635022695640*z^8 + 64508397402850063441920*z^9)*Cf[z]^12*
        tS0[z]^2 - (473101775*Cf[z]^10*tS0[z]^3)/6912 + 
       (((16161391534413655*z^14)/185752092672 + (116032519021823563*z^15)/
            435456 - (22984739016537095262*z^16)/35 + 
           (15632858049849704062837152*z^17)/35 - 
           (664578120699806946655102083072*z^18)/7 - 
           (416787828761172111432648879142600704*z^19)/35 + 
           (25183873968772287735997935285671062142976*z^20)/5 + 
           (597229004784299939870083227313273516666650624*z^21)/5)*Cf[z]^15 + 
         ((-84241597026125*z^8)/71663616 + (266708303384747*z^9)/96 - 
           1473699914467009704*z^10 - 28450701351099150160896*z^11 + 
           117131138295232195882399039488*z^12)*Cf[z]^13*tS0[z] + 
         ((-4583465425*z^2)/1152 + 2825704728900*z^3)*Cf[z]^11*tS0[z]^2)*
        tS1[z] + (((-750304162207975*z^10)/286654464 + (239115953834195*z^11)/
            2304 + 3870334723108051314*z^12 - 2448552502468331449522560*
            z^13 + 296878540913808940234550771712*z^14 + 
           60488151518189442616878678260318208*z^15)*Cf[z]^14 + 
         ((437434485455*z^4)/248832 - (179500927083585*z^5)/16 + 
           5514660598556201760*z^6)*Cf[z]^12*tS0[z])*tS1[z]^2 + 
       (((392829484083535*z^6)/17915904 - (5169284638483945*z^7)/384 - 
           7193293936973282070*z^8 + 4291307189739334643742720*z^9)*
          Cf[z]^13 + (1695631065425*Cf[z]^11*tS0[z])/82944)*tS1[z]^3 + 
       ((-58499186448725*z^2)/995328 + (349383156614475*z^3)/8)*Cf[z]^12*
        tS1[z]^4) + S2[z]^14*(((1141471538754735325*z^20)/210642873090048 - 
         (909966292011254446693*z^21)/90296156160 + 
         (15233530027450254185*z^22)/6048 + (51617700226319556234240*z^23)/
          7 - (1344484154367857929050198388224*z^24)/175 + 
         (21577607083765548309763328664010752*z^25)/7 - 
         (15389186079205989380073118524416219676672*z^26)/35 - 
         (8028612894936343366097093227349837349484756992*z^27)/175 + 
         (108333097372221367114797395004195004399506016960512*z^28)/7 + 
         (3116004266070018573080660492012190566859482614135259136*z^29)/35 - 
         (312456769491057622726252254726793782600076220600921603702784*z^30)/
          175)*Cf[z]^16 + ((202411703358259*z^14)/40633270272 + 
         (77531428486731179*z^15)/1741824 - (11843681465863080363*z^16)/140 + 
         (353208263586349212274752*z^17)/7 - (270820377673084782716925100032*
           z^18)/35 - (93332832603388716692628020939194368*z^19)/35 + 
         (3683763153757593415150694562948257415168*z^20)/5 + 
         (147707603850485804199850636171972959824510976*z^21)/5)*Cf[z]^14*
        tS0[z] + ((-18057556074475*z^8)/71663616 + (12719751591635*z^9)/24 - 
         282832324600519008*z^10 + 13393899067180539488256*z^11 + 
         14761873892226549902733213696*z^12)*Cf[z]^12*tS0[z]^2 + 
       ((116875385*z^2)/5184 - 67693752225*z^3)*Cf[z]^10*tS0[z]^3 + 
       (((-4670611429725870985*z^16)/23404763676672 + 
           (49273807689619886981*z^17)/125411328 - 
           (209626984651126112739*z^18)/1120 - (3230975942365888302899472*
             z^19)/35 + (4040541481961452948537645633536*z^20)/35 - 
           (177510227586234626794328356448894976*z^21)/5 + 
           (59765816710566134180186213013483675451392*z^22)/35 + 
           (22566706583293296326334869859911366690381758464*z^23)/35 + 
           (114774115145055169797009966622073582585433343131648*z^24)/35)*
          Cf[z]^15 + ((-62686213125605*z^10)/107495424 - 
           (545963544980081*z^11)/2304 + 1177217294833838799*z^12 - 
           657594891324368130788352*z^13 + 62588447092571382671965028352*
            z^14 + 20672896381577187962594472134443008*z^15)*Cf[z]^13*
          tS0[z] + ((122913930685*z^4)/124416 - (14632515943725*z^5)/4 + 
           1633549053520080000*z^6)*Cf[z]^11*tS0[z]^2)*tS1[z] + 
       (((235628742978207685*z^12)/92876046336 - (284091177179645215*z^13)/
            55296 + (109733734721866892151*z^14)/40 + 
           (1473390490942648203748992*z^15)/5 - 
           583853732864892148007765311488*z^16 + 
           104143811895885697796027446047277056*z^17 + 
           7064547083430817903906156362485169389568*z^18)*Cf[z]^14 + 
         ((8705697319285*z^6)/995328 - (274329448235665*z^7)/64 - 
           3798726801407604900*z^8 + 1949346012035327116492800*z^9)*Cf[z]^12*
          tS0[z] + (120033582125*Cf[z]^10*tS0[z]^2)/13824)*tS1[z]^2 + 
       (((-4042302408786475*z^8)/322486272 + (191832583569820853*z^9)/6912 - 
           14435636946049069389*z^10 - 69481525286892472289280*z^11 + 
           1025613912934870266854351831040*z^12)*Cf[z]^13 + 
         ((-4332965571275*z^2)/124416 + (99937755605625*z^3)/4)*Cf[z]^11*
          tS0[z])*tS1[z]^3 + ((395204422101145*z^4)/35831808 - 
         (2546927323641275*z^5)/48 + 24959525938124108400*z^6)*Cf[z]^12*
        tS1[z]^4 + (13658395088825*Cf[z]^11*tS1[z]^5)/248832) + 
     S2[z]^13*(((-39334803110128372165*z^22)/20221715816644608 + 
         (30682696227621878371*z^23)/4013162496 - 
         (15921553241014140118013*z^24)/1451520 + 
         (2535873882300311945188131*z^25)/350 - 
         (290613590190612980819064974592*z^26)/175 - 
         (16351928698340459039317780552482816*z^27)/25 + 
         (92848748421010468847263070563418366803968*z^28)/175 - 
         (22392173806883976370361664461661424292645044224*z^29)/175 + 
         (1309014667050760687938216988002004103167743124045824*z^30)/175 + 
         (211833136432976604301260666220339982906742103036064169984*z^31)/
          175 - 
         (4177795764114829935394406500445189766349002992533269211250688*z^32)/
          175 + 
         (47899582900267209512722654112428003864968284511767088938826596352*
           z^33)/175)*Cf[z]^16 + ((-1096035348742666111*z^16)/
          46809527353344 + (1294282600435921423*z^17)/31352832 - 
         (4443463259249444869*z^18)/280 - (422110626221618936794944*z^19)/
          35 + (59918275798918458969771859968*z^20)/5 - 
         (15597527308683029515634750766710784*z^21)/5 - 
         (2399667584135752125412100723429282414592*z^22)/35 + 
         (3676621769067091959293796128319818619225636864*z^23)/35 + 
         (54558049901105025591832816701989631387855432450048*z^24)/35)*
        Cf[z]^14*tS0[z] + ((-4930559318095*z^10)/53747712 - 
         (8919051690059*z^11)/128 + 222396732590404734*z^12 - 
         121361350057057976361984*z^13 + 15683091573416516144649732096*z^14 + 
         2122018452052360219756359730593792*z^15)*Cf[z]^12*tS0[z]^2 + 
       ((119705639215*z^4)/373248 - 100144821055*z^5 - 21456973528300800*z^6)*
        Cf[z]^10*tS0[z]^3 + (((24035891153013528673*z^18)/561714328240128 - 
           (1546159351572686918447*z^19)/7524679680 + 
           (335342299159066367383*z^20)/1120 - (6556435132777460414376192*
             z^21)/35 + (7155715551748030343108693846016*z^22)/175 + 
           (1679197259657710506226425670465486848*z^23)/175 - 
           (1090597239663535928823569179094020987551744*z^24)/175 + 
           (131373517290702834373171982928857677705242476544*z^25)/175 + 
           (8006994580067267861180091931748546276243846234898432*z^26)/175 - 
           (50214010632516422017316286611098316126189762392375689216*z^27)/
            175)*Cf[z]^15 + ((53333223951566045*z^12)/81266540544 - 
           (9635576260679443*z^13)/8064 + (3804495635079190677*z^14)/7 + 
           (4777159744923364617739776*z^15)/35 - 
           (5328101044894317692955836940288*z^16)/35 + 
           (118147095186237002470804252098822144*z^17)/5 + 
           (12740739318175271365571450365879907254272*z^18)/5)*Cf[z]^13*
          tS0[z] + ((2101975941875*z^6)/746496 - (9222606858341*z^7)/8 - 
           1165347729127414944*z^8 + 543945150498977321287680*z^9)*Cf[z]^11*
          tS0[z]^2 - (6246523825*Cf[z]^9*tS0[z]^3)/5184)*tS1[z] + 
       (((-161750216741635481*z^14)/1950396973056 + 
           (2086861844514513581*z^15)/1161216 - (326363841665281800965*z^16)/
            112 + (59056473853719703389850272*z^17)/35 - 
           (10277345435704393650024335634432*z^18)/35 - 
           (2166947434636712685526957947441119232*z^19)/35 + 
           20088399179610570911372105186365742776320*z^20 + 
           (2441321269119295107074724048506126830625882112*z^21)/5)*
          Cf[z]^14 + ((-1173509231800885*z^8)/214990848 + 
           (772825627918763*z^9)/72 - 5044503481388983728*z^10 - 
           301402870778425153001472*z^11 + 447011756050699188620652183552*
            z^12)*Cf[z]^12*tS0[z] + ((-84713639615*z^2)/5184 + 
           10334562061275*z^3)*Cf[z]^10*tS0[z]^2)*tS1[z]^2 + 
       (((-33487777436768225*z^10)/7739670528 - (18869933086138093*z^11)/
            4608 + (23908780973305378845*z^12)/2 - 6314746690183872144026880*
            z^13 + 649248615769878850273087389696*z^14 + 
           163252114685562764384287283912638464*z^15)*Cf[z]^13 + 
         ((41420443591075*z^4)/4478976 - (90689395995775*z^5)/3 + 
           13481604438269976000*z^6)*Cf[z]^11*tS0[z])*tS1[z]^3 + 
       (((2013214794585485*z^6)/53747712 - (9407292512056835*z^7)/576 - 
           17295727935087843660*z^8 + 8299382947849898707046400*z^9)*
          Cf[z]^12 + (4298962650625*Cf[z]^10*tS0[z])/124416)*tS1[z]^4 + 
       ((-137043197844575*z^2)/1492992 + (253509893900175*z^3)/4)*Cf[z]^11*
        tS1[z]^5) + S2[z]^12*
      (((-48003241108295140105*z^24)/121330294899867648 - 
         (356650934453032486829*z^25)/3250661621760 + 
         (891642782037352316101*z^26)/387072 - (1043252011703838594038517*
           z^27)/280 + (493472360406192992999117296128*z^28)/175 - 
         (197358879948638644818603772141142016*z^29)/175 + 
         (33307871693549578368257978331557177327616*z^30)/175 + 
         (3948430197086223697233014597353309818813677568*z^31)/175 - 
         (2681420643884840378375819862075386615072024243994624*z^32)/175 + 
         (354726200759009887346706273469590418081722083723848974336*z^33)/
          175 + 
         (1065352712568821107196669935769254129770439556479979341479936*z^34)/
          175 - 
         (48533744910998305447655764766789310723083666873400187233169833984*
           z^35)/35 + (620208180680648423317218081630943361062538229687662268\
6991885579321344*z^36)/175)*Cf[z]^16 + 
       ((80882250751961335*z^18)/17553572757504 - (3444673897575145847*z^19)/
          179159040 + (898989893702336293*z^20)/35 - 
         (513851969267028811832832*z^21)/35 + (434070197073719657612277424128*
           z^22)/175 + (193514790297203511231019578502938624*z^23)/175 - 
         (92341188015516906998981990136165099896832*z^24)/175 + 
         (6518136844879299220837550718994923258686472192*z^25)/175 + 
         (1842612066046727999502882988607002295263598368260096*z^26)/175 - 
         (2427552327141270546005322052006931291146659770230898688*z^27)/175)*
        Cf[z]^14*tS0[z] + ((672601192875197*z^12)/3869835264 - 
         (167070201954727*z^13)/576 + 139104809007322248*z^14 + 
         (49633919888861946475008*z^15)/5 - (119985417818116113566585585664*
           z^16)/5 + (22761026046629739072778902945398784*z^17)/5 + 
         (874674805180521381877707196396524797952*z^18)/5)*Cf[z]^12*
        tS0[z]^2 + ((-165586616525*z^6)/279936 + (2419277460755*z^7)/4 - 
         156554701524570816*z^8 + 3325280505303298867200*z^9)*Cf[z]^10*
        tS0[z]^3 + (401007875*Cf[z]^8*tS0[z]^4)/384 + 
       (((1765121414308052819*z^20)/62412703137792 - 
           (36047857800600765001*z^21)/1074954240 - 
           (401799354491435471549*z^22)/13440 + (1953652973401792389514644*
             z^23)/25 - (10239781265180112448574407305216*z^24)/175 + 
           (3498602143794176938153707838229446656*z^25)/175 - 
           (387757552444407334395062713547996723675136*z^26)/175 - 
           (78894200350909982994131976625575603553601323008*z^27)/175 + 
           (4008343869656375676576290944818889891137363181043712*z^28)/35 + 
           (96107659193786724776051739035154500518736261612606324736*z^29)/
            175 - 
           (93579361786130812379057694680129104590468828368669899751424*z^30)/
            5)*Cf[z]^15 + ((-9980631152548745*z^14)/243799621632 + 
           (238848461104114553*z^15)/580608 - (84151759700455722347*z^16)/
            140 + (11191392804569672528836992*z^17)/35 - 
           (1471763962100718686550681944064*z^18)/35 - 
           (89546843113304710464180561094115328*z^19)/5 + 
           (22869866320914045392837871452674867593216*z^20)/5 + 
           (1087501518073289653500746390147389592816320512*z^21)/5)*Cf[z]^13*
          tS0[z] + ((-5981035112125*z^8)/2239488 + (8321520356269*z^9)/2 - 
           1765445461076914848*z^10 - 31306593005887907414016*z^11 + 
           112737878635165523519893143552*z^12)*Cf[z]^11*tS0[z]^2 + 
         ((20734962215*z^2)/7776 - 1426856892300*z^3)*Cf[z]^9*tS0[z]^3)*
        tS1[z] + (((-19484641555916019247*z^16)/31206351568896 + 
           (123877114162562608273*z^17)/125411328 - 
           (547167908776922545601*z^18)/3360 - (3960119413800665756584992*
             z^19)/7 + (76794424770964896190986198994944*z^20)/175 - 
           (20315488430495029343591899470863794176*z^21)/175 + 
           (623097446785287471903001048181197120733184*z^22)/175 + 
           (58711800367280394665939307110959678253225213952*z^23)/25 + 
           (255885192076757074063274561710597814765034135355392*z^24)/25)*
          Cf[z]^14 + ((-123046719453745*z^10)/107495424 - 
           (14231629692769393*z^11)/6912 + (21763169624452180167*z^12)/5 - 
           (10540624914383630084255232*z^13)/5 + 
           166154908786549535227386396672*z^14 + 
           69714207235362985815288101222744064*z^15)*Cf[z]^12*tS0[z] + 
         ((2067868087955*z^4)/248832 - 14705349826185*z^5 + 
           5437025576404433280*z^6)*Cf[z]^10*tS0[z]^2)*tS1[z]^2 + 
       (((490058814517577015*z^12)/81266540544 - (17977548881387841203*z^13)/
            1741824 + (577534348118231957583*z^14)/140 + 
           (56158558068988311138716544*z^15)/35 - 
           (50101653434254818915522757165056*z^16)/35 + 
           (1123327740102562017632147583415615488*z^17)/5 + 
           (85071763288779396254664552354930222956544*z^18)/5)*Cf[z]^13 + 
         ((221040513741985*z^6)/13436928 - (222735323229679*z^7)/48 - 
           9778449296425648176*z^8 + 4223159756207419066859520*z^9)*Cf[z]^11*
          tS0[z] + (40479241525*Cf[z]^9*tS0[z]^2)/2592)*tS1[z]^3 + 
       (((-7339251958253665*z^8)/286654464 + (17874671211825541*z^9)/384 - 
           20769303159505821420*z^10 - 1336645988877787634889216*z^11 + 
           1768370270554399527005267165184*z^12)*Cf[z]^12 + 
         ((-20983675248085*z^2)/373248 + (74962582865475*z^3)/2)*Cf[z]^10*
          tS0[z])*tS1[z]^4 + ((43251295713245*z^4)/1492992 - 
         (459266381098895*z^5)/6 + 32208104542044726720*z^6)*Cf[z]^11*
        tS1[z]^5 + (13374302656525*Cf[z]^10*tS1[z]^6)/248832) + 
     S2[z]^11*(((848476716500954845*z^26)/2246857312960512 - 
         (124161910065301841358649*z^27)/107271833518080 + 
         (1917221256521280474479483*z^28)/1437004800 - 
         (1685576283836730931253809*z^29)/3080 - 
         (2468716832363981322320311139136*z^30)/9625 + 
         (4095954999026061675761703756038602752*z^31)/9625 - 
         (2214379255003548335282091750428325766496256*z^32)/9625 + 
         (616058963558730642845036955518393842929946853376*z^33)/9625 - 
         (74449330454467264483185095604836720526020269836337152*z^34)/9625 - 
         (346216674785322417971530295000371857864530974028033163264*z^35)/
          875 + 
         (33813016129385420162055253334024273865431839273545170788810752*
           z^36)/175 - (13637188253338827110898392884959596017321316795211765\
98574822064128*z^37)/175 + 
         (3849205239405723462248647675136848862796139303944584021542897465688\
064*z^38)/25 - 
         (4550616983535622450724949524429618088519817150740803190797613066563\
1449088*z^39)/175)*Cf[z]^16 + ((549148056204858143*z^20)/140428582060032 - 
         (1760461371986880727*z^21)/250822656 + (1085826643280132476*z^22)/
          315 + (212031339205648647835512*z^23)/175 - 
         (64187560073306752625606750208*z^24)/35 + 
         (101144121838826049104166822494601216*z^25)/175 + 
         (7256730061704830470362726767187223117824*z^26)/175 - 
         (10352784165396143068980689485893904276213727232*z^27)/175 + 
         (1471451990317568899443243773292978557061134372831232*z^28)/175 + 
         (124115799658011965963175703840535556302819648606205640704*z^29)/
          175 - 
         (1930039275484487372581222657311273660441727052103377397743616*z^30)/
          175)*Cf[z]^14*tS0[z] + ((-70517266952267*z^14)/967458816 + 
         (60883324781143357*z^15)/290304 - (3137426446933168569*z^16)/14 + 
         (555728545386785215931904*z^17)/5 - (798444919711001192304574660608*
           z^18)/35 - (2077391245905770462839042939551744*z^19)/5 + 
         (3088157178407400658291413817537459126272*z^20)/5 + 
         (33583853781567779841521281475281465620037632*z^21)/5)*Cf[z]^12*
        tS0[z]^2 + ((205440690155*z^8)/559872 - (2805793330097*z^9)/4 + 
         428477344562592000*z^10 - 94673150846963848544256*z^11 + 
         4946464124990226917146755072*z^12)*Cf[z]^10*tS0[z]^3 + 
       ((-95363125*z^2)/72 + 1004269509000*z^3)*Cf[z]^8*tS0[z]^4 + 
       (((-12857824380066978299*z^22)/842571492360192 + 
           (1296023072326379297909*z^23)/27088846848 - 
           (41245099110093198260249*z^24)/725760 + 
           (5040174827610783642658266*z^25)/175 - 
           (52457256275455905151428481536*z^26)/175 - 
           (1236499466200434487534891479057432576*z^27)/175 + 
           (628464100830876025033162579264576262504448*z^28)/175 - 
           (18468576461828836923595639827135528658916081664*z^29)/25 + 
           (1103958559331408208974168755321641789884635709177856*z^30)/35 + 
           (1507396852376540464007083408262725245329875534982097666048*z^31)/
            175 - 
           (6852152524178729356298408663376488221711789767530642650693632*
             z^32)/35 + (3617226545082592879824138277342712532560357223128788\
79371922767872*z^33)/175)*Cf[z]^15 + ((-581580050072666423*z^16)/
            3900793946112 + (6235587401136710509*z^17)/26127360 - 
           (5639327296408264867*z^18)/70 - (2401513793810645074500096*z^19)/
            35 + (10911964211629932788409393414144*z^20)/175 - 
           (2669100749057316142757028663253794816*z^21)/175 - 
           (15420323829376091797807808101544538144768*z^22)/25 + 
           (100939857042515989133593157174655176151121526784*z^23)/175 + 
           (2040577410889172799164645637970331106601723446165504*z^24)/175)*
          Cf[z]^13*tS0[z] + ((2594190331775*z^10)/4478976 - 
           (615918825925303*z^11)/288 + 2183358251100972888*z^12 - 
           854816509674362546270208*z^13 + 86496991594325532848374677504*
            z^14 + 14218917360729146600992944666181632*z^15)*Cf[z]^11*
          tS0[z]^2 + ((-39543262255*z^4)/31104 + 2245538774850*z^5 - 
           724232428530693120*z^6)*Cf[z]^9*tS0[z]^3)*tS1[z] + 
       (((10219629017483956087*z^18)/46809527353344 - 
           (136718390943516608759*z^19)/188116992 + 
           (2909818906771205789021*z^20)/3360 - (78174514217447851297412088*
             z^21)/175 + (9090033821630494679533569048576*z^22)/175 + 
           (8090868773166551097022656529739808768*z^23)/175 - 
           (3473308869701559761610568581582628577083392*z^24)/175 + 
           (368904963007293131743027242204753385797218992128*z^25)/175 + 
           (26648729664219586794509300109748215542479818281975808*z^26)/175 - 
           (213696052720016014065599674371758221982951035747732291584*z^27)/
            175)*Cf[z]^14 + ((8173309776119963*z^12)/3869835264 - 
           (711341984050271*z^13)/216 + (11782494401841000747*z^14)/10 + 
           541084943673470170863360*z^15 - 434345909337318021308989341696*
            z^16 + (306766544611244704584303961222152192*z^17)/5 + 
           (37851039878431611610098329882342316834816*z^18)/5)*Cf[z]^12*
          tS0[z] + ((143932080515*z^6)/41472 + (19701255620293*z^7)/8 - 
           5197314232215447264*z^8 + 1654618778980243677020160*z^9)*Cf[z]^10*
          tS0[z]^2 - (4899059125*Cf[z]^8*tS0[z]^3)/1728)*tS1[z]^2 + 
       (((-23385049393703425*z^14)/20316635136 + (51866128777577337329*z^15)/
            10450944 - (1703484736837411224593*z^16)/280 + 
           (20775398900694552663208704*z^17)/7 - 
           (12662443559830035573234232049664*z^18)/35 - 
           (5488338836513456291549314791417839616*z^19)/35 + 
           (199563114174875147725109135631387834974208*z^20)/5 + 
           (5197802953985796791040796029143587056619880448*z^21)/5)*
          Cf[z]^13 + ((-84137261054455*z^8)/6718464 + (968395837406963*z^9)/
            48 - 7969649135039915904*z^10 - 1049600891843948318330880*z^11 + 
           849053438163250129725359652864*z^12)*Cf[z]^11*tS0[z] + 
         ((-294407521045*z^2)/10368 + 16475599176300*z^3)*Cf[z]^9*tS0[z]^2)*
        tS1[z]^3 + (((-211644955956275*z^10)/161243136 - 
           (137528392528384547*z^11)/10368 + (99470958391114895214*z^12)/5 - 
           (44038931268754372170783744*z^13)/5 + 
           703875521978605452925114122240*z^14 + 
           249357679676294732651004848775364608*z^15)*Cf[z]^12 + 
         ((15980149569775*z^4)/746496 - (89357591383685*z^5)/2 + 
           17816056735595166720*z^6)*Cf[z]^10*tS0[z])*tS1[z]^4 + 
       (((297076844405785*z^6)/8957952 - (1226154177176899*z^7)/288 - 
           24173017274329188696*z^8 + 9454254776545584492011520*z^9)*
          Cf[z]^11 + (329330494525*Cf[z]^9*tS0[z])/10368)*tS1[z]^5 + 
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        tS1[z]^6) + S2[z]^10*
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933035423694848*z^35)/35 + 
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68215706615021568*z^41)/875 - 
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984*z^42)/7 + 
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012372992*z^43)/35 - 
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3801026560*z^44)/7 - (2201711309225173841104282226235443440019462743673827899\
08972429360657542781790584832*z^45)/25)*Cf[z]^16 + 
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796593446486016*z^36)/35)*Cf[z]^14*tS0[z] + 
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           (38217525455731989423872571809700604490744248850798302099144704*
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748250390659072*z^37)/175 + 
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37728*z^38)/5 + 
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           (136683854083457351011*z^22)/6300 + (5635805359760382967973136*
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           (186147031649025247743903561141977088*z^25)/25 - 
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           (159300450033375021046816228666681851808208168057309233152*z^29)/
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           (2352589994803619346736180412462501885657687686484802102362112*
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         ((-3803788619831845*z^14)/6772211712 + (424077553998592429*z^15)/
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           (2161991622020366517350400*z^17)/7 - 
           (325883894019041003859905347584*z^18)/35 - 
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           (122341459908526968092102579415648565752496128*z^21)/5)*Cf[z]^11*
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           (18623627659208804228957067588864*z^26)/875 - 
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           (2975402336020093900388937400768058037975441475633152*z^30)/175 + 
           (113416834947545371051725021724514120532423080328290107392*z^31)/
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           (18901612923801319658781305460917012458428262036658500732452864*
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62850398257152*z^33)/35)*Cf[z]^14 + ((-814070869001033197*z^16)/
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           (1074961489732552416*z^18)/7 - (53822343802983047246223936*z^19)/
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           (1340301619394666880257573709190004736*z^21)/35 - 
           (2314578833141686414181696312597079392256*z^22)/35 + 
           (7083167547623999059731527020248300407419305984*z^23)/7 + 
           (1134003249857085971069774418151539577597650247090176*z^24)/35)*
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           (1010578850722211*z^11)/144 + 4904032813033881168*z^12 - 
           1413715550135137517297664*z^13 + 54927535067540889675522637824*
            z^14 + 37953868466638744004920113755062272*z^15)*Cf[z]^10*
          tS0[z]^2 + ((-119243511455*z^4)/7776 + 10873211238900*z^5 - 
           2032338494667340800*z^6)*Cf[z]^8*tS0[z]^3)*tS1[z]^2 + 
       (((19172585932951782811*z^18)/46809527353344 - 
           (1000952619095641960537*z^19)/940584960 + 
           (10328967325372801381841*z^20)/10080 - (66617955868840871682736656*
             z^21)/175 - (8548852744955143926577393348608*z^22)/175 + 
           (15872235168175130639712669012540260352*z^23)/175 - 
           (5042762600821399004576213219743302609272832*z^24)/175 + 
           (455262493505966925279487489676649934793761357824*z^25)/175 + 
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           (80640483768325516393490437356891713398940132209613340672*z^27)/
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           (161381645126424173*z^13)/54432 + (860765327671497183*z^14)/7 + 
           (44034260593797714809691648*z^15)/35 - 
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           (384745746634533269368998544218783744*z^17)/5 + 
           (52497507187400328324184260394961099292672*z^18)/5)*Cf[z]^11*
          tS0[z] + ((-1615157958565*z^6)/373248 + (66820312398365*z^7)/6 - 
           8391681349500458880*z^8 + 2069832153299893154611200*z^9)*Cf[z]^9*
          tS0[z]^2 + (16425875*Cf[z]^7*tS0[z]^3)/144)*tS1[z]^3 + 
       (((-61855018455461831*z^14)/27088846848 + (10995582696683943905*z^15)/
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           (83852322945606359685194112*z^17)/35 - 
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119488*z^40)/1225 + 
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         (184832129244947473080890725077830365604580528488448*z^24)/35)*
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420288*z^36)/5)*Cf[z]^10*tS0[z] + ((-127506592267043*z^18)/107495424 + 
           (745547479736113793*z^19)/241920 - (596364246677849159619*z^20)/
            175 + (1865975983894503107790619392*z^21)/875 - 
           (146498471982500072231291559542784*z^22)/175 + 
           (37523046149293867896342500302770929664*z^23)/175 - 
           (1256465610875283786877284548162716447014912*z^24)/35 + 
           (132775304471411159835575337186835171016039202816*z^25)/35 - 
           229798211457144975227155475394707313519388967043072*z^26 + 
           6098225020613723873798161826092046290425535694735671296*z^27)*
          Cf[z]^8*tS0[z]^2 + ((25183694049827*z^12)/870912 - 
           (1613442738085677*z^13)/35 + (1059461016298212223296*z^14)/35 - 
           (363135323684486169250725888*z^15)/35 + 
           (13664187260026446926022627557376*z^16)/7 - 
           191120136089124720289976010449879040*z^17 + 
           7614542869663768425616314621264540991488*z^18)*Cf[z]^6*tS0[z]^3 + 
         ((-700225550*z^6)/3 + 199046290312800*z^7 - 51520721001001574400*
            z^8 + 4169362476957054271488000*z^9)*Cf[z]^4*tS0[z]^4 + 
         783648000*Cf[z]^2*tS0[z]^5)*tS1[z]^4 + 
       (((-7519230735972407*z^26)/46809527353344 - (5834227919657850091*z^27)/
            120708403200 + (2500576605203105331131*z^28)/2425500 - 
           (124121372301864542524605012*z^29)/67375 + 
           (11571907402720961254571948345088*z^30)/6875 - 
           (326579078449389924294434622531329458176*z^31)/336875 + 
           (25697290933794369151914841935008659849347072*z^32)/67375 - 
           (7162778236895351400034257018376724195021772816384*z^33)/67375 + 
           (286363562105764166885852148256250547742110424510758912*z^34)/
            13475 - 
           (40791216276212007559957981236357688960695109308070873792512*z^35)/
            13475 + 
           (52696433886407792412520060553039023831757854043095032139874304*
             z^36)/175 - (678262570628411293393091802584992840231631069677009\
067681595260928*z^37)/35 + 
           (37993054793623082790195438854248326226594134294285212735681493687\
33696*z^38)/5 - 
           (68731308718936009139353501495473716384799101067000899453193015598\
491107328*z^39)/5)*Cf[z]^11 + ((-12264043921551469*z^20)/270888468480 + 
           (947286999575236153*z^21)/5443200 - (35940304597772659927*z^22)/
            140 + (178643476769981198454321408*z^23)/875 - 
           (17468525805640886345209885016064*z^24)/175 + 
           (5575688445370586629460500116072824832*z^25)/175 - 
           (1188595424178808611681162644907324000436224*z^26)/175 + 
           (33655280532364393464636889436538696994991898624*z^27)/35 - 
           (434592005299045487850015306978164544383882379657216*z^28)/5 + 
           (22848719891753387199580730287181970531021765660867821568*z^29)/
            5 - 104646971361003868291323309319358156678199401730397282762752*
            z^30)*Cf[z]^9*tS0[z] + ((21332522943695*z^14)/5225472 - 
           (3529610946804277*z^15)/420 + (1206451311145355500704*z^16)/175 - 
           (104012405587144675181887488*z^17)/35 + 
           735486586144777648296412839936*z^18 - 
           (3686049914096430155404783991459414016*z^19)/35 + 
           8120012155241148398297453469856016891904*z^20 - 
           260552682978142487679261430989627097085902848*z^21)*Cf[z]^7*
          tS0[z]^2 + ((-149275308245*z^8)/1728 + 88999293983184*z^9 - 
           31812613733130485760*z^10 + 4796450438019220289617920*z^11 - 
           260354169793619833978859028480*z^12)*Cf[z]^5*tS0[z]^3 + 
         (472675500*z^2 - 84795413760000*z^3)*Cf[z]^3*tS0[z]^4)*tS1[z]^5 + 
       (((5038384089683783*z^22)/2167107747840 - (564065528091409709*z^23)/
            104509440 + (29864096375130370459*z^24)/5600 - 
           (371133128949164499014064*z^25)/125 + 
           (904998988377779661758089930752*z^26)/875 - 
           (41180375661829425842092850615943168*z^27)/175 + 
           (6136920503598231781312824023481292161024*z^28)/175 - 
           (593240055703141937069682978054778711374299136*z^29)/175 + 
           (9165683117020319254298420301870209937909825404928*z^30)/35 - 
           (117157711370320640189700096507746360241870997410545664*z^31)/7 + 
           (29917226423707528620410791738271560133052067004895970983936*z^32)/
            5 - 
           194937781625246950270947938304280336306529802543791081923805184*
            z^33)*Cf[z]^10 + ((-4252108565485*z^16)/334430208 - 
           (60633253962119*z^17)/945 + (19192858736747408784*z^18)/175 - 
           (11958157122062934655024128*z^19)/175 + 
           (547911748035925047115691065344*z^20)/25 - 
           (27505122284369107445278383129231360*z^21)/7 + 
           (2713861231851911397101225988825991348224*z^22)/7 - 
           18448244022132084654315402771849980575481856*z^23 + 
           420581425356167169318648390164165507722852171776*z^24)*Cf[z]^8*
          tS0[z] + ((-8444918551*z^10)/1728 + (64771449019719*z^11)/10 - 
           2960163797882419584*z^12 + 610071388737770283466752*z^13 - 
           57009452679416661999410479104*z^14 + 
           1887142884272906608867133808967680*z^15)*Cf[z]^6*tS0[z]^2 + 
         ((202275410*z^4)/3 - 21304311552000*z^5 + 1454875403039539200*z^6)*
          Cf[z]^4*tS0[z]^3)*tS1[z]^6 + 
       (((-451432566866851*z^18)/36118462464 + (83728712676048529*z^19)/
            2903040 - (4087964131128705033*z^20)/140 + 
           (14945437070570462128081344*z^21)/875 - 
           (1110995050564931102538706501632*z^22)/175 + 
           (54053411705408483042278318427602944*z^23)/35 - 
           (8507285431833267874591738069875538526208*z^24)/35 + 
           (823645116974482085338730380751613257828007936*z^25)/35 - 
           1145378770684669119154486499639403943354687291392*z^26 + 
           42652799815864972096382564097619444390268026264485888*z^27)*
          Cf[z]^9 + ((5591246028563*z^12)/10450944 - (22586822723081*z^13)/
            28 + (18111983114150750736*z^14)/35 - (6190132703464180474011648*
             z^15)/35 + (1176694981134753398388075528192*z^16)/35 - 
           3362342386566107131342262988963840*z^17 + 
           140704019774274115267934870339598680064*z^18)*Cf[z]^7*tS0[z] + 
         ((-195261685*z^6)/36 + 5145773069520*z^7 - 1420229144020561920*z^8 + 
           120176958967653806899200*z^9)*Cf[z]^5*tS0[z]^2 + 
         29808000*Cf[z]^3*tS0[z]^3)*tS1[z]^7 + 
       (((596366341465*z^14)/17915904 - (417515478551821*z^15)/6720 + 
           (8407416896008155864*z^16)/175 - (700675980318801225133056*z^17)/
            35 + (169967948290426899298220507136*z^18)/35 - 
           (23709130694262720129862122426335232*z^19)/35 + 
           47917038020890788892323189383271284736*z^20 - 
           359923764710945270356584126582198884106240*z^21)*Cf[z]^8 + 
         ((-1748450075*z^8)/1296 + 1335645267672*z^9 - 469011161151037440*
            z^10 + 70217328119918548746240*z^11 - 
           3807894130437493489705943040*z^12)*Cf[z]^6*tS0[z] + 
         (10778350*z^2 - 1920081024000*z^3)*Cf[z]^4*tS0[z]^2)*tS1[z]^8 + 
       (((-489288095*z^10)/13824 + (174240938513*z^11)/4 - 
           20243215585001664*z^12 + 4677642360091894284288*z^13 - 
           583168573328009060381884416*z^14 + 
           39951588430532346416311635542016*z^15)*Cf[z]^7 + 
         ((9982165*z^4)/12 - 265352889600*z^5 + 18815042307686400*z^6)*
          Cf[z]^5*tS0[z])*tS1[z]^9 + 
       (((-8838521*z^6)/864 + 12182741640*z^7 - 3698546075965440*z^8 + 
           329554787194581811200*z^9)*Cf[z]^6 + 212000*Cf[z]^4*tS0[z])*
        tS1[z]^10 + (25575*z^2 - 4525632000*z^3)*Cf[z]^5*tS1[z]^11)
 
Ff[10] = 163988997257685380605624602473875847/
      110957168182527751465980229173903360 + 
     (2637012495693706461350003006066414071*z)/
      54881473657866290492432449536000 - 
     (564785648088778739414752605602933329*z^2)/86885828475761396809728000 - 
     (358723992986188543589668275816317*z^3)/615828320819712000 - 
     (2400299309815651047271794747857*z^4)/2652284250 + 
     (5409920420276348525629873061182976*z^5)/4729725 - 
     (7296033326679386105085522848205766656*z^6)/9625 + 
     (20054102115392109775555847700536627331858432*z^7)/67375 - 
     (122104824487993657711958833910880716203304681472*z^8)/1925 + 
     (2175951085107353769444153532614991688707544300126208*z^9)/385 + 
     ((-20498476128060898761617320350243376267*z^54)/
        13869646022815968933247528646737920000 + 
       (87695365738316417064499709179653361693541*z^55)/
        17836478938806544410040546099200000 - 
       (52616820960069741652471407663679314307949*z^56)/
        6826743665952681177907200000 + 
       (86053183898921501596650015077434742751581*z^57)/
        11380507368748277760000 - (178339963901777351219599115441457216183541*
         z^58)/34301780022510000 + 
       (2606090012390784596233815563190133501706741*z^59)/980274920625 - 
       (570005585473913841502120079410721311184742606336*z^60)/544597178125 + 
       (176438437914715506274033817201166904637641272851103744*z^61)/
        544597178125 - 
       (8691721711636164864581903479388036209161464376774289784832*z^62)/
        108919435625 + 
       (244674638766300622471775014550011663944808032163701674043506688*z^63)/
        15559919375 - 
       (53986687292056226421758255355821333398741616379680981103856249208832*
         z^64)/21783887125 + (24168555693962360259877849147998385709611549909\
495727484627312774104481792*z^65)/77799596875 - 
       (166775570448360818124912907335279103732623903612416233782240907903516\
17367474176*z^66)/544597178125 + (3629500335931774359736522754868663233300024\
5481733144719037293201258283097808437248*z^67)/15559919375 - 
       (857757287806630775748077823729281989762181233037012526890646349213049\
672074447967748096*z^68)/6407025625 + (60677317102386135171024111715714204165\
7674076711757890608874854992336109361211929686645407744*z^69)/108919435625 - 
       (483760568373016034182705377064549846044710314173484326680816108588609\
5163523219654472265719873536*z^70)/32035128125 + 
       (118435774216986836207155077148365365920003084550228714355789512232762\
6237863737056872595003557541838848*z^71)/544597178125)*Cf[z]^18 + 
     ((-888007175*z^2)/2048 + (484414632491625*z^3)/1024)*Cf[z]^18*S2[z]^26 + 
     (1683480621875*Cf[z]^18*S2[z]^27)/7077888 + 
     (1150102803876633824112152410287011/122307284151816304525992316108800 + 
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       (6348293642284528755166777813*z^3)/22067004960 + 
       (378607539150243114213341436128*z^4)/868725 - 
       (406205575693100788027541160394752*z^5)/1225 + 
       (181334684719088911802004544247555948544*z^6)/1225 - 
       (6197679913752268182480169736637587933626368*z^7)/175 + 
       (611718217591771230890821765955997069772477956096*z^8)/175 + 
       ((-732149811834527315605274242302451*z^48)/
          77831908096610375607449655705600 + 
         (3711645851689642088926759483288291679*z^49)/
          137627152305606052546609152000 - 
         (65930577100397783043454282161915025891*z^50)/
          1843642193737220997120000 + 
         (142828023992746506231452155691664757651*z^51)/4939456323241440000 - 
         (32112210585499676672070035884458354898*z^52)/2035955604375 + 
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         (3124473985351724799539873151493841654365667328*z^54)/1980353375 + 
         (3780865498599187769637203631157460352717051232518144*z^55)/
          15559919375 + 
         (417476762973148580446662137865075352340787813043515949056*z^56)/
          108919435625 - 
         (1714530095314008284938798808696442305649745478213668474774880256*
           z^57)/108919435625 + (13198262092135347046125571553118724735161190\
2351112812017322194632704*z^58)/21783887125 - 
         (3642859863111144191558266773161277325749018250698989417997925994568\
5090304*z^59)/21783887125 + (431455941380352324557699192131516246653276868808\
54170624952743860254484310523904*z^60)/108919435625 - 
         (8993385580743655140143282773866920496982789923599505565840458159742\
067815399085309952*z^61)/108919435625 + (941891359227621014402760522297152686\
20483493649505799327533277279042551528130676948729856*z^62)/6407025625 - 
         (4697774471028472762543638704739566103486851547084264377709607926136\
7273947345838460948600324096*z^63)/21783887125 + 
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9005443980732633215559303954432*z^64)/104229125 - 
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15752508434828106108557219617308672*z^65)/6131125 + 
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058462960428177698349867871292352364544*z^66)/875875 - 
         (5810020931624445431874745847962560300939543225128644432842924760749\
568807574690109180451947458104459209474048*z^67)/67375 + 
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657527668891387556109493451092268611488710656*z^68)/875 - 
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76861677457095639911862988815973097465172042186752*z^69)/6125 + 
         (9491445385159177225166455754420912687334135307411959861798819618298\
5315951126482694034452615594817157134820298775855104*z^70)/125)*Cf[z]^16)*
      tS0[z] + (-1535931228202588162144135675073/
        8534200449189734167483514880 + (1485708305055933046934228853697*z)/
        914587668165909440102400 - (372212442945320189207103367033*z^2)/
        10295581834137600 + (149343436125666193480347609623*z^3)/2298646350 - 
       (394028398006965581840913677312*z^4)/6615 + 
       (38201183491568436379767555061972992*z^5)/1225 - 
       (1498463383785334868107695303927552540672*z^6)/175 + 
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       ((99484457176871018797991276729*z^42)/554168860336995725161267200 - 
         (1203100406807756086908251485511*z^43)/2605662872267548262400 + 
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         (1498678271949538799538990665166587*z^45)/3721617900000 + 
         (4745660777382915579364759061695148936*z^46)/23451553125 - 
         (189869900870047695633162451347162287348736*z^47)/2605728125 + 
         (47260660925104230181910620173546014761592291328*z^48)/2605728125 - 
         (1104288916461672447050754970541832948289256011333632*z^49)/
          521145625 - 
         (1746130057857248106749018356523133123961916865699907633152*z^50)/
          2605728125 + 
         (80083902732681329502852880782388119429425601986019632917512192*
           z^51)/153278125 - (50325091846315863324701592480910460623392326150\
0683739022978371813376*z^52)/2605728125 + 
         (1300883529197852637691208178619789152872237421976279236915565273544\
73873408*z^53)/2605728125 - (388653629689224687456630508442693994509804348580\
070705571424349495139934142464*z^54)/40088125 + (6820094457223682059710431324\
8378139437151773711080981539215019538151804333857964032*z^55)/47376875 - 
         (4999676733272915749074847159968220544288502957648399197320393384926\
437556729141371338752*z^56)/30655625 + (6081233691543252389987782531389518579\
1715971266701774169349783612092386189850610058880090112*z^57)/4379375 - 
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9530349749155746590442389504*z^58)/67375 + (225692844741544077741039678619618\
043811538659302331694331325567225790479359818423875292717004095488*z^59)/
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33826501293162068181883701136348653681639424*z^60)/6125 + 
         (1045360402037128541838907998980059586496047290690593208636746618042\
1883709218791910093652659403305955360768*z^61)/875)*Cf[z]^14)*tS0[z]^2 + 
     (5060863281577776248842639/24209673569097602826240 - 
       (38103183819461864758561*z)/21599122728960 + 
       (1310414680265832244484789*z^2)/275837562 - 
       (47867216466836510460653056*z^3)/8505 + 
       (126293884138454775321016664064*z^4)/35 - 
       (40989135140145832716138918086443008*z^5)/35 + 
       (5247695053916970475157970293477307580416*z^6)/35 + 
       ((1049723119006628229836921*z^36)/24209673569097602826240 - 
         (41623397856502888374112319*z^37)/216207218516889600 + 
         (49072355222827726814892397*z^38)/165502537200 - 
         (935959539688884772277278332848*z^39)/2483105625 + 
         (72431184399581523183649605034472448*z^40)/153278125 - 
         (10074982767788399811412080796202675994624*z^41)/21896875 + 
         (3713597570996241942749067775624369089886027776*z^42)/11790625 - 
         (23420027347333742447367257040709314925116582273220608*z^43)/
          153278125 + 
         (8256463043914656093343733062920511162198759497904819273728*z^44)/
          153278125 - 
         (7837270554662242620855479225139090918607949323581762186510336*z^45)/
          557375 + 
         (6465938425897952964693660224079205384469065466888103435900140126208*
           z^46)/2358125 - (1222822087132438573442115805924043733207689136226\
6518216487882429959241728*z^47)/30655625 + 
         (1308814275879819674095693753962614325494424615162149779967126797592\
165351424*z^48)/30625 - (2007846512239846563835979411030264055704498828732760\
6207776932351293585572757504*z^49)/6125 + (1492461558128250515544475479024382\
52397940658135121978486614453202457936112778215424*z^50)/875 - 
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         (95096101795951824*z^16)/175 - (13581399190303760154624*z^17)/7 + 
         (34049609287470297478034620416*z^18)/35 - 
         (949754492956687885001836348833792*z^19)/5 + 
         11103752232880163669538838389807120384*z^20 + 
         2280551408695559412626571052633268573700096*z^21)*Cf[z]^8 + 
       ((6606193*z^8)/24 + 260176155936*z^9 - 224192696062943232*z^10 + 
         49733339704289604403200*z^11 - 3492270816245210375258112000*z^12)*
        Cf[z]^6*tS0[z] + ((80515600*z^2)/3 - 5379996672000*z^3)*Cf[z]^4*
        tS0[z]^2)*tS1[z]^10 + 
     (((-2975994941*z^10)/31104 + (663689199668*z^11)/5 - 
         68618959875597312*z^12 + 17292314875531717509120*z^13 - 
         2224882179405422359631364096*z^14 + 
         134123204974992587224168311816192*z^15)*Cf[z]^7 + 
       ((31480480*z^4)/9 - 1407630182400*z^5 + 139662354677760000*z^6)*
        Cf[z]^5*tS0[z])*tS1[z]^11 + 
     (((73949827*z^6)/648 - 66608269920*z^7 + 12736421976268800*z^8 - 
         796139784763342848000*z^9)*Cf[z]^6 + 280000*Cf[z]^4*tS0[z])*
      tS1[z]^12 + ((126500*z^2)/3 - 8398080000*z^3)*Cf[z]^5*tS1[z]^13 + 
     S2[z]^25*(((-10566121955275*z^4)/28311552 - (128748973731525*z^5)/256 + 
         427167987944563125*z^6)*Cf[z]^18 + (1063490157875*Cf[z]^17*tS1[z])/
        196608) + S2[z]^24*(((12269739472375*z^6)/10616832 - 
         (5133132687923595*z^7)/4096 - 117070946814095415*z^8 + 
         230835831601051270393920*z^9)*Cf[z]^18 + 
       (474499217075*Cf[z]^16*tS0[z])/294912 + 
       ((-2896410627275*z^2)/294912 + (2580129862077375*z^3)/256)*Cf[z]^17*
        tS1[z]) + S2[z]^23*(((-12493725656125*z^8)/169869312 + 
         (13170082779815385*z^9)/8192 - (43906161840323141745*z^10)/32 + 
         128938521402680398059600*z^11 + 82701216675608449873400709120*z^12)*
        Cf[z]^18 + ((-883089046675*z^2)/294912 + (186251479414425*z^3)/64)*
        Cf[z]^16*tS0[z] + ((-11216137784075*z^4)/1769472 - 
         (5645405966460705*z^5)/512 + 8496910932648777765*z^6)*Cf[z]^17*
        tS1[z] + (10545068038225*Cf[z]^16*tS1[z]^2)/196608) + 
     S2[z]^22*(((-703826990943755*z^10)/573308928 + (58042138736427325*z^11)/
          49152 + (36011631402647191377*z^12)/64 - 739795186669741756457220*
          z^13 + 120629831551060736893938600960*z^14 + 
         20500609352926791338432166302318592*z^15)*Cf[z]^18 + 
       ((-5016847135325*z^4)/3538944 - (215533804391055*z^5)/64 + 
         2377894915117219770*z^6)*Cf[z]^16*tS0[z] + 
       (((1406854636998725*z^6)/63700992 - (90477905589322665*z^7)/4096 - 
           (47244767869273489605*z^8)/16 + 4270152917188504367136000*z^9)*
          Cf[z]^17 + (182531440675*Cf[z]^15*tS0[z])/6144)*tS1[z] + 
       ((-170871878326325*z^2)/1769472 + (23839589677768425*z^3)/256)*
        Cf[z]^16*tS1[z]^2) + S2[z]^21*
      (((270856504207788965*z^12)/495338913792 - (233232476928330385*z^13)/
          110592 + (115329429022610833929*z^14)/64 - 251799796983634803231984*
          z^15 - 209078292642788784458725337088*z^16 + 
         50613578520940919778709884770451456*z^17 + 
         3540726557580532783036545484094554767360*z^18)*Cf[z]^18 + 
       ((371816892325*z^6)/62208 - (5640832011727755*z^7)/1024 - 
         (4139812946832657255*z^8)/4 + 1156978377526056749406720*z^9)*
        Cf[z]^16*tS0[z] + (351593081875*Cf[z]^14*tS0[z]^2)/73728 + 
       (((-1086119109643375*z^8)/286654464 + (122788671185895645*z^9)/4096 - 
           (373484148201563330061*z^10)/16 + 1867777118311036756970592*z^11 + 
           1416116537835296636980981039104*z^12)*Cf[z]^17 + 
         ((-24076697705225*z^2)/442368 + (1596570853695525*z^3)/32)*Cf[z]^15*
          tS0[z])*tS1[z] + ((-2743586059027025*z^4)/63700992 - 
         (13343515473420705*z^5)/128 + 72883395669080040210*z^6)*Cf[z]^16*
        tS1[z]^2 + (403791288497425*Cf[z]^15*tS1[z]^3)/1327104) + 
     S2[z]^20*(((51935479183918015*z^14)/82556485632 - 
         (11865070834491738575*z^15)/37158912 - (443738562954104964087*z^16)/
          448 + 1044275215182333032519694*z^17 - 
         (2021244409343520792311292859392*z^18)/7 - 
         20152475126500973895162653354164224*z^19 + 
         13012935798371861892854734926066499977216*z^20 + 
         412782602668821655428064982588640653469548544*z^21)*Cf[z]^18 + 
       ((-899722235839315*z^8)/573308928 + (6246511078916585*z^9)/768 - 
         (23363416221595169751*z^10)/4 + 364264123226974872527808*z^11 + 
         371526400233689995570611879936*z^12)*Cf[z]^16*tS0[z] + 
       ((-1950990347075*z^2)/221184 + (247241222305875*z^3)/32)*Cf[z]^14*
        tS0[z]^2 + (((-21733272059912185*z^10)/1146617856 + 
           (379907853004663295*z^11)/24576 + (180561085640096140971*z^12)/
            16 - 11953512990282623247563976*z^13 + 
           1817939725903403801824113709056*z^14 + 
           323006103112956266980055525584011264*z^15)*Cf[z]^17 + 
         ((-129493356981325*z^4)/7962624 - (1867017457263315*z^5)/32 + 
           37696589470069983720*z^6)*Cf[z]^15*tS0[z])*tS1[z] + 
       (((11394179562806375*z^6)/63700992 - (669150851130292305*z^7)/4096 - 
           (488075324918623713585*z^8)/16 + 33857949991243114247443200*z^9)*
          Cf[z]^16 + (51546007421275*Cf[z]^14*tS0[z])/221184)*tS1[z]^2 + 
       ((-239043802822825*z^2)/442368 + (31306289971898025*z^3)/64)*Cf[z]^15*
        tS1[z]^3) + S2[z]^19*
      (((-124924917160875456725*z^16)/249650812551168 + 
         (485979009604547573189*z^17)/334430208 - 
         (2168323266141319742067*z^18)/1792 + (4723313890185428578715106*
           z^19)/35 + (1844414462452442265465000067584*z^20)/7 - 
         (780404604810638811346347455125389312*z^21)/7 + 
         (231785814712779645163940647528364028985344*z^22)/35 + 
         (10903533958133453843439396114656001376710033408*z^23)/5 + 
         (145127935669371440487703190159374408817689768230912*z^24)/5)*
        Cf[z]^18 + ((-7573106958343315*z^10)/1719926784 + 
         (2264614408776505*z^11)/768 + (13078605583093762161*z^12)/4 - 
         2945224305256111857794880*z^13 + 412210122757715393149224517632*
          z^14 + 82287713063370435000314180092821504*z^15)*Cf[z]^16*tS0[z] + 
       ((-14197221119375*z^4)/7962624 - (36911964496575*z^5)/4 + 
         5612161184897085000*z^6)*Cf[z]^14*tS0[z]^2 + 
       (((8827584294535090475*z^12)/866843099136 - 
           (150767231852624948255*z^13)/4644864 + (5643668169352016844813*
             z^14)/224 - (18085997348432041698780840*z^15)/7 - 
           (22498031875833482971387949236224*z^16)/7 + 
           721576115461933651836447821905526784*z^17 + 
           50895208252319930552242488262590644355072*z^18)*Cf[z]^17 + 
         ((65880249456025*z^6)/746496 - (2364549032737885*z^7)/32 - 
           18605886136185332700*z^8 + 16881067289964484716595200*z^9)*
          Cf[z]^15*tS0[z] + (3836199542875*Cf[z]^13*tS0[z]^2)/55296)*tS1[z] + 
       (((-27894895967941405*z^8)/573308928 + (1086731412339492905*z^9)/
            4608 - (1337055860345580933345*z^10)/8 + 
           10656582099922469471811840*z^11 + 10326921175703166522925674332160*
            z^12)*Cf[z]^16 + ((-277548081307475*z^2)/663552 + 
           (5774564636899875*z^3)/16)*Cf[z]^14*tS0[z])*tS1[z]^2 + 
       ((-13573328407751575*z^4)/95551488 - (35633868373419575*z^5)/64 + 
         353008632622164619950*z^6)*Cf[z]^15*tS1[z]^3 + 
       (2890689440451125*Cf[z]^14*tS1[z]^4)/2654208) + 
     S2[z]^18*(((-5903428487346014659*z^18)/46809527353344 - 
         (906707384090236534793*z^19)/4013162496 + 
         (9459255887548529675365*z^20)/10752 - (57480455500426300887383373*
           z^21)/70 + (9961291943320409733422424060288*z^22)/35 + 
         (7232166794883258482979796192198656*z^23)/7 - 
         (763174768710532225572080514162192405233664*z^24)/35 + 
         (20786559471532391887452406870687831402651582464*z^25)/7 + 
         (8095626344773003490952968758251855967619850927341568*z^26)/35 + 
         (26083335023254722971000286791454395908501454800293986304*z^27)/35)*
        Cf[z]^18 + ((1191596091382171045*z^12)/433421549568 - 
         (1486186303198366277*z^13)/193536 + (306410238598120301121*z^14)/
          56 - (2355543541055633133150720*z^15)/7 - 
         (5486428386930028397533725818880*z^16)/7 + 
         162792192561492119840032069747998720*z^17 + 
         12704656448865297691645675206172100001792*z^18)*Cf[z]^16*tS0[z] + 
       ((78500266639115*z^6)/5971968 - (2622584715592535*z^7)/256 - 
         2922249403220907645*z^8 + 2403399464974198470297600*z^9)*Cf[z]^14*
        tS0[z]^2 + (20804996875*Cf[z]^12*tS0[z]^3)/3888 + 
       (((6152312895385101485*z^14)/866843099136 - 
           (29167512475007852623*z^15)/55738368 - (14294516308293948113589*
             z^16)/896 + (71423824793317049655957744*z^17)/5 - 
           (18082421157026140800910537678848*z^18)/5 - 
           (11232094962817631278072310517940617216*z^19)/35 + 
           (859187601494385886658353410631457700839424*z^20)/5 + 
           (26655176674726166146354126309603854040556371968*z^21)/5)*
          Cf[z]^17 + ((-4442935972179935*z^8)/143327232 + 
           (14828585410283705*z^9)/128 - 76014353207977876467*z^10 + 
           3445994951880865397512704*z^11 + 4962441757395059202369292075008*
            z^12)*Cf[z]^15*tS0[z] + ((-42095592267575*z^2)/331776 + 
           (414099681463125*z^3)/4)*Cf[z]^13*tS0[z]^2)*tS1[z] + 
       (((-409412329637739305*z^10)/3439853568 + (2785775957051951855*z^11)/
            36864 + (743072401798345369215*z^12)/8 - 
           81056087512500617229675456*z^13 + 11380901690509651986029177499648*
            z^14 + 2152717329360126963891248356537663488*z^15)*Cf[z]^16 + 
         ((-453925690966975*z^4)/7962624 - (6792560059992075*z^5)/16 + 
           250302540921168724200*z^6)*Cf[z]^14*tS0[z])*tS1[z]^2 + 
       (((114577610881576625*z^6)/143327232 - (2015860104854019215*z^7)/
            3072 - (686403889241753490075*z^8)/4 + 
           150492231670516010955302400*z^9)*Cf[z]^15 + 
         (83878346010625*Cf[z]^13*tS0[z])/82944)*tS1[z]^3 + 
       ((-2516106320103475*z^2)/1327104 + (205941946980134625*z^3)/128)*
        Cf[z]^14*tS1[z]^4) + S2[z]^17*
      (((5854386037037730891143*z^20)/26962287755526144 - 
         (9946595572523628094427*z^21)/18059231232 + 
         (3649739827845985024189*z^22)/8960 + (3284829154735220626090839*
           z^23)/70 - (7454181085077197192384203650432*z^24)/35 + 
         (3798479018797789293669545567302975488*z^25)/35 - 
         (88732515708806092176203184092260469833728*z^26)/5 - 
         (54297343872555346218432144467185613210048790528*z^27)/35 + 
         (3915711551069382134038369985856423600937022018027520*z^28)/7 + 
         (89301298976093154281293838059864574044626091185555898368*z^29)/7 - 
         (1087564369065230890903163008478409472245933728242894576287744*z^30)/
          35)*Cf[z]^18 + ((280251136728329945*z^14)/216710774784 + 
         (7405703164909111585*z^15)/13934592 - (866533347515938941267*z^16)/
          224 + (21689273985962944599080064*z^17)/7 - 
         (25128307343828202458621460185088*z^18)/35 - 
         (602603452062167497783746310960054272*z^19)/7 + 
         (189396541200198370506380858146252696584192*z^20)/5 + 
         (6684622695570504350907480123183858807736369152*z^21)/5)*Cf[z]^16*
        tS0[z] + ((-2469976891910405*z^8)/429981696 + (20011858132495925*z^9)/
          1152 - 10654514872690591530*z^10 + 441258199328420775360000*z^11 + 
         669964492649992605574071582720*z^12)*Cf[z]^14*tS0[z]^2 + 
       ((-13665454825*z^2)/1296 + 7780771368000*z^3)*Cf[z]^12*tS0[z]^3 + 
       (((-1290454417550096932055*z^16)/187238109413376 + 
           (8845205950617104010605*z^17)/501645312 - 
           (8284986046780874024851*z^18)/640 + (925385022036686446802532*
             z^19)/5 + (17847538070130045419376696625152*z^20)/5 - 
           (9441198058705437325289040948851638272*z^21)/7 + 
           (2512677149551235686489328029370886930825216*z^22)/35 + 
           (920845824645887074071439143055941126083353509888*z^23)/35 + 
           (11306926360304165958063764592335230381820800955056128*z^24)/35)*
          Cf[z]^17 + ((-42243968246238475*z^10)/859963392 + 
           (157633911241544333*z^11)/6912 + 47198817122013584703*z^12 - 
           36103852053962364755395584*z^13 + 4654835911911343930083553443840*
            z^14 + 999866672588693139423038951689027584*z^15)*Cf[z]^15*
          tS0[z] + ((-6574456642675*z^4)/2985984 - 126606842161450*z^5 + 
           68961348140037703200*z^6)*Cf[z]^13*tS0[z]^2)*tS1[z] + 
       (((196702570220039990905*z^12)/2600529297408 - 
           (26362214726058267991*z^13)/129024 + (31933594782840297430911*
             z^14)/224 - (269575901622011905736510736*z^15)/35 - 
           (722782160403959468148953061353472*z^16)/35 + 
           (21358995117523588478509555888523575296*z^17)/5 + 
           (1536243114386366607452836790928717410992128*z^18)/5)*Cf[z]^16 + 
         ((6351187194830345*z^6)/11943936 - (50574654377060705*z^7)/128 - 
           137590873632985128570*z^8 + 102347722081003653033062400*z^9)*
          Cf[z]^14*tS0[z] + (33953311171375*Cf[z]^12*tS0[z]^2)/82944)*
        tS1[z]^2 + (((-377064390849141535*z^8)/1289945088 + 
           (14091952490597586475*z^9)/13824 - 654561838343667764169*z^10 + 
           28815441507538431175519488*z^11 + 41890227642936585067297568587776*
            z^12)*Cf[z]^15 + ((-586787109999475*z^2)/331776 + 
           (11459354091872625*z^3)/8)*Cf[z]^13*tS0[z])*tS1[z]^3 + 
       ((-26211737725522925*z^4)/143327232 - (709907976474329275*z^5)/384 + 
         1061838736767747366750*z^6)*Cf[z]^14*tS1[z]^4 + 
       (5092317296273875*Cf[z]^13*tS1[z]^5)/1990656) + 
     S2[z]^16*(((-104719268868251379325*z^22)/5055428954161152 + 
         (10232962782346659031657*z^23)/48157949952 - 
         (210676570323083578418239*z^24)/483840 + 
         (66097242562484403137209122*z^25)/175 - 
         (24898200726896498596972814612352*z^26)/175 + 
         (182845342015386978016858605073883136*z^27)/175 + 
         (120593316965437035851915694269318672941056*z^28)/7 - 
         (875873719477104021983107037140724886320789323776*z^29)/175 + 
         (46451741301543079901778812368232275806291262496047104*z^30)/175 + 
         (10082582629678094740327008051069144380154758402125382811648*z^31)/
          175 - 
         (13077141018964215773877907775266962670313864431827789526597632*
           z^32)/175 + 
         (99225280220003758607771284757815389034870950955577980024812208128*
           z^33)/35)*Cf[z]^18 + ((-47928611244517296007*z^16)/
          31206351568896 + (15989387250925854643*z^17)/4478976 - 
         (659518732890003905507*z^18)/280 - (5828740734058878877899624*z^19)/
          35 + (26730905694817197458249926705152*z^20)/35 - 
         (9301726265192243708220352084561625088*z^21)/35 + 
         (54905990892464623584401048138516237647872*z^22)/5 + 
         (39944760370092981916687006859942186948556226560*z^23)/7 + 
         (3076353137061269175915168505599355934397689053052928*z^24)/35)*
        Cf[z]^16*tS0[z] + ((-7930747943150545*z^10)/1289945088 + 
         (10876082722066393*z^11)/6912 + 7257340329258839454*z^12 - 
         4968100555497548830338048*z^13 + 628798892938120978285167378432*
          z^14 + 126204800318852875110502526028349440*z^15)*Cf[z]^14*
        tS0[z]^2 + ((595485374245*z^4)/186624 - 11113371458300*z^5 + 
         5071822555462272000*z^6)*Cf[z]^12*tS0[z]^3 + 
       (((-141548665671932681845*z^18)/280857164120064 - 
           (13799853777154976159897*z^19)/3009871872 + 
           (898011394554944165425157*z^20)/80640 - 
           (318158978586857770071147867*z^21)/35 + 
           (19693135337489543665375255254528*z^22)/7 + 
           (4473986422124153075541207713046724608*z^23)/35 - 
           (8730672974144927149771114116856993290387456*z^24)/35 + 
           (1122317394980197318283800101843559415546929741824*z^25)/35 + 
           (17524118712342690230698464378133624864982742123675648*z^26)/7 + 
           (34554340401576050079854882566991038609113365524613431296*z^27)/7)*
          Cf[z]^17 + ((1295152651632735715*z^12)/36118462464 - 
           (9405120649449048893*z^13)/108864 + (1544008743834385683741*z^14)/
            28 - (14872546291983078385317888*z^15)/35 - 
           (314869654503582817598883041918976*z^16)/35 + 
           (8667060205173465190427053429377466368*z^17)/5 + 
           (696978081426200880954400619501803435720704*z^18)/5)*Cf[z]^15*
          tS0[z] + ((637295262857705*z^6)/4478976 - (5991001998423245*z^7)/
            64 - 41637562423429914180*z^8 + 26945789218003081580544000*z^9)*
          Cf[z]^13*tS0[z]^2 + (8381856125*Cf[z]^11*tS0[z]^3)/162)*tS1[z] + 
       (((32017169139590538445*z^14)/1114512556032 + 
           (1210741242055372060087*z^15)/55738368 - 
           (463355579858556262919169*z^16)/4480 + 
           (2783546041166799761440588464*z^17)/35 - 
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7786883244032*z^37)/35 + 
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19232*z^38)/175 + 
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214885376*z^39)/175)*Cf[z]^18 + ((151360342289667236329*z^20)/
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433112942215168*z^33)/25)*Cf[z]^17 + ((-12079099628103213815*z^16)/
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           233673826377625237620*z^8 + 119413976805583215353856000*z^9)*
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           1244616697899201096540*z^8 + 716934423103240360373452800*z^9)*
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       ((-9670605212260025*z^2)/1492992 + (19224241449992625*z^3)/4)*Cf[z]^12*
        tS1[z]^6) + S2[z]^13*
      (((423746675185787793650375*z^28)/96093593560695177216 - 
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         (822248461436636398940679849148764132574356202252070113247232*z^37)/
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435616175259648*z^39)/875 - 
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190144*z^40)/125 + 
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3044781056*z^41)/175 - (61645049299557846611938221520696028064290265231593641\
4859131330320312780625805312*z^42)/175)*Cf[z]^18 + 
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         (92416388587709581979123418*z^25)/175 - 
         (28556147201317565922003751312896*z^26)/175 - 
         (2174296738576241943047496599083155456*z^27)/175 + 
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         (215513068180161511179121664387293628211388219392*z^29)/35 + 
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         (109190230710518463017940792014711383491572783544662734103642112*
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81255386464256*z^33)/175)*Cf[z]^16*tS0[z] + 
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         (37813816929331529984857567186944*z^20)/35 - 
         (10998273990235300622106769865419259904*z^21)/35 + 
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         (524805072376867*z^11)/108 + 5297669131175919936*z^12 - 
         1986155971634957964115968*z^13 + 43869920960890365615884206080*
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         4395301203267072000*z^6)*Cf[z]^10*tS0[z]^4 + 
       (((-59081962608785571575495*z^24)/190661891985506304 + 
           (34752718349703296073034447*z^25)/71514555678720 + 
           (391891800121331317196303861*z^26)/1916006400 - 
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87491966762186794141959061504*z^45)/67375 + (15203552783836617348860129379931\
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           (2239271457894674207292050320097617311449088*z^35)/21896875 + 
           (29867639322173257933799847330449349283984441344*z^36)/625625 - 
           (6660039656302913214422936604504994399849419261345792*z^37)/
            398125 + 
           (3904308095099712825754201715436568768240629154589806952448*z^38)/
            875875 - 
           (793980939261287983773301463645029548257743595384912694063661056*
             z^39)/875875 + (122539982323021230079838791471792212103107721862\
417442172834041298944*z^40)/875875 - 
           (18325958585217926241931319241938064101625589123332556748564725887\
5068416*z^41)/11375 + 
           (23529322824220706475783037044841506505834651420205028556474407082\
6102358016*z^42)/175 - (19155198103702860029892600484485920232667307934404606\
30396351979838746535133184*z^43)/25 + (93500353919701899838667095772449659031\
017963913502621829221140703599044347742388224*z^44)/35 - 
           (15043029181036124383304981016724865136463317986048449236483356279\
99098193559801821134848*z^45)/35)*Cf[z]^12*tS0[z] + 
         ((-117785225267576225209*z^24)/93862854328320 + 
           (289094907336561565121251*z^25)/60354201600 - 
           (10128045925058758571647523*z^26)/1293600 + 
           (19974853378345613115412299312*z^27)/2695 - 
           (12356552616380595961115096720166912*z^28)/2695 + 
           (18935710086742822983506561501391721857024*z^29)/9625 - 
           (40633715778901744860439085672544792078968684544*z^30)/67375 + 
           (1798194231668365753661399379444040584352993212628992*z^31)/
            13475 - 
           (285511593561400876236371441569267015442166733499988443136*z^32)/
            13475 + 
           (82510204328130096658861420457676826583029411401060398923776*z^33)/
            35 - 
           (1221441507128408974496278603018513619119035279858929266939920384*
             z^34)/7 + (38705635553262282473036648610798653751335610250389719\
683438705901568*z^35)/5 - 
           155453993624680303668164603906081047754928917714804063281317061733\
646336*z^36)*Cf[z]^10*tS0[z]^2 + ((651233901353081*z^18)/11757312 - 
           (130813137980659801*z^19)/945 + (26179955142838818861888*z^20)/
            175 - (81065213762472550327433306112*z^21)/875 + 
           (1271121514518572339248891233828864*z^22)/35 - 
           (1635557848616081707360599692135758823424*z^23)/175 + 
           (55240353626204536949045492128861627103576064*z^24)/35 - 
           (843057061769450574980247604802915063631798337536*z^25)/5 + 
           10341380062717277616966623045483717966138349402980352*z^26 - 
           277267593593851033971129188058286947216112987931412529152*z^27)*
          Cf[z]^8*tS0[z]^3 + ((-94021253984653*z^12)/108864 + 
           (47998318517115944*z^13)/35 - (32091038318296908294912*z^14)/35 + 
           (11278125819004821866533748736*z^15)/35 - 
           (435384444157065618812721684283392*z^16)/7 + 
           6237528646004753025738458134940221440*z^17 - 
           254019470334516166592799162236996048388096*z^18)*Cf[z]^6*
          tS0[z]^4 + ((15261827270*z^6)/3 - 4896620843489280*z^7 + 
           1347538812626911887360*z^8 - 113306345796461901801062400*z^9)*
          Cf[z]^4*tS0[z]^5 - 20309184000*Cf[z]^2*tS0[z]^6)*tS1[z]^4 + 
       (((-139339613422326012383*z^32)/389268029470408704 + 
           (1388822669494446697079623*z^33)/1355796784742400 - 
           (364247646931258798904557157*z^34)/435891456000 - 
           (180723232102652021989596857231*z^35)/315315000 + 
           (743041478469617782569972639353952*z^36)/398125 - 
           (43654240405347658013343942085263254802432*z^37)/21896875 + 
           (4089972883993946282444546221776960198219399168*z^38)/3128125 - 
           (34038063802368746521204634746543136163374938718208*z^39)/56875 + 
           (881632564710735035923873134355811052210457548866992472064*z^40)/
            4379375 - 
           (44634887926402389139489268946386107972413684571128841736552448*
             z^41)/875875 + (171143373378162699006454401247353172050425574258\
2875937277248274432*z^42)/175175 - 
           (24669573460675775918967163057613599805776164667282742223867728362\
2617088*z^43)/175175 + (13285328604342880042646929869419429161188291463796811\
3798131974336484462297088*z^44)/875875 - (20181899862381332220682843870374538\
87109493261989886187573867352564802967830528*z^45)/175 + 
           (10474967020389326048415161590390223887240128562870523319117465150\
6486986100543848448*z^46)/175 - (66955128767929048575522027918404494436963744\
8125500357271849544383526026745855346737152*z^47)/35 + 
           (99801729758390778868228276356154079212342837579337790003883771159\
61134978987282354805932032*z^48)/35)*Cf[z]^13 + 
         ((-32188544401571033*z^26)/1671768834048 + 
           (28354701054210756041353*z^27)/181062604800 - 
           (99981860812703279103772*z^28)/259875 + 
           (32875354563992428875048432768*z^29)/67375 - 
           (11724613079845926189021304463705088*z^30)/30625 + 
           (9742826586835669028436664330490346995712*z^31)/48125 - 
           (5085826429653065010446928421061366561151909888*z^32)/67375 + 
           (1367794223944580364920605281060790362549756924788736*z^33)/
            67375 - (7636160478860591749228965479102650209097880782497644544*
             z^34)/1925 + 
           (7537973717082010583242497199193885139756512920321293268549632*
             z^35)/13475 - 
           (9703143114165026749801828254741617582868184705505963865337233408*
             z^36)/175 + (129743653553189171697410878670053260607214957993060\
736545512155512832*z^37)/35 - 
           (73841205733728555854632925304126265155275785974346800330135434474\
9727744*z^38)/5 + 
           267212589272478095471210449066828354591343015123197533406190080845\
0679504896*z^39)*Cf[z]^11*tS0[z] + ((8757019409196787*z^20)/1693052928 - 
           (5412161586734293907*z^21)/311040 + (4204076696911696959057*z^22)/
            175 - (16120611737830619614542369024*z^23)/875 + 
           (1544391037283169233707598475362304*z^24)/175 - 
           (487515537579151144882200525215518162944*z^25)/175 + 
           (14768650146241883148061048051761760526401536*z^26)/25 - 
           (2921379146306430723549150722770009350504714338304*z^27)/35 + 
           (264141827820080845356890707244140369989993712532324352*z^28)/35 - 
           393874396016125383263723375610779454035319168416392151040*z^29 + 
           9145296259926536026763460480119796673880930010522546390171648*
            z^30)*Cf[z]^9*tS0[z]^2 + ((-24521023622843*z^14)/108864 + 
           (47815319687924968*z^15)/105 - (65019654030813046228224*z^16)/
            175 + (5609866368079430499305521152*z^17)/35 - 
           (1394534967967464273840774655770624*z^18)/35 + 
           (40223818777855618711142579364880711680*z^19)/7 - 
           447384469375057780859905942142270627119104*z^20 + 
           14568166923754126705614267501212541025052000256*z^21)*Cf[z]^7*
          tS0[z]^3 + ((1429257848785*z^8)/432 - 3467833485815808*z^9 + 
           1256729133360069918720*z^10 - 192006278802194182585712640*z^11 + 
           10572361026789124986054754959360*z^12)*Cf[z]^5*tS0[z]^4 + 
         (-15172080000*z^2 + 2776445558784000*z^3)*Cf[z]^3*tS0[z]^5)*
        tS1[z]^5 + (((34878969681023898503*z^28)/10813000818622464 - 
           (10665658030937061307811*z^29)/965667225600 + 
           (15438316826876524895361151*z^30)/931392000 - 
           (978486884642746212574634602*z^31)/67375 + 
           (22403957741637291418056184387008*z^32)/2695 - 
           (220898500399134194060207034473367601152*z^33)/67375 + 
           (43656809423696728383592189434363685191548928*z^34)/48125 - 
           (11570286897529657210171128664838288673610999529472*z^35)/67375 + 
           (1293435279554422539107373794271458538222343858478383104*z^36)/
            67375 - 
           (4134026802077219492349426838509566299556066602885444534272*z^37)/
            13475 - 
           (3395099754071084336173756562025301801980353673043910197222834176*
             z^38)/13475 + (9896298956922795975554044555218084470549109609836\
726662107374813184*z^39)/175 - 
           (35941411250240095484114988126823972380586511156788022800872182964\
7613952*z^40)/175 + 
           (44904493627425116656178672870069282955247328052887455737453326361\
151143936*z^41)/5 + (42334364503799267252930601267453688956620811023059479769\
54943269627139746430976*z^42)/5)*Cf[z]^12 + 
         ((-208728058622518229*z^22)/1625330810880 + 
           (38705203981415218409*z^23)/261273600 + 
           (308714249619729485117*z^24)/4200 - (39688295643927806600702592*
             z^25)/175 + (22506408931976448248745631531008*z^26)/125 - 
           (68424531020724897502858210908252930048*z^27)/875 + 
           (742759167071834543085374538180141407797248*z^28)/35 - 
           (93480457746640804521747918649427926723074195456*z^29)/25 + 
           (2995012065347011715010141722063776619327113459138560*z^30)/7 - 
           (1035582547223788768225178320642092030525238839669405253632*z^31)/
            35 + 
           1453599522168964407286608873970529424938846544874173609541632*
            z^32 - 
           26178870348731762054753855350257864659303024665729677390665220096*
            z^33)*Cf[z]^10*tS0[z] + ((-2710769034977669*z^16)/376233984 + 
           (15762041531747407*z^17)/720 - (4122973826547181722576*z^18)/175 + 
           (89919752639823738014220288*z^19)/7 - 
           (141177798282403740269611535302656*z^20)/35 + 
           (26648230726647214878986160998757433344*z^21)/35 - 
           (595626230834516740119037633503848508162048*z^22)/7 + 
           5163704799938044304213842597080645170500730880*z^23 - 
           120567846724490253382144322433012203141035708121088*z^24)*Cf[z]^8*
          tS0[z]^2 + ((77723983337*z^10)/216 - (2353761675968072*z^11)/5 + 
           220000313643561068544*z^12 - 47677671282539375049572352*z^13 + 
           4856809674309788985892949458944*z^14 - 
           186448978046384297591447300320788480*z^15)*Cf[z]^6*tS0[z]^3 + 
         ((-9430370120*z^4)/3 + 1068747747840000*z^5 - 84067812127958630400*
            z^6)*Cf[z]^4*tS0[z]^4)*tS1[z]^6 + 
       (((-12662340515523596189*z^24)/750902834626560 + 
           (4537480018879359855827*z^25)/80472268800 - 
           (86657741549103221851993*z^26)/1034880 + 
           (4977838783749674387938021956*z^27)/67375 - 
           (14619521575806986058822656126673408*z^28)/336875 + 
           (172309376538354747792613264548097425408*z^29)/9625 - 
           (356898011424269209004337393849738385485201408*z^30)/67375 + 
           (15087009670929055901107965337932019241566938857472*z^31)/13475 - 
           (2221740280076056341493008225408823878247533691413725184*z^32)/
            13475 + 
           (570154333229939174802178317804967365287628574785521319936*z^33)/
            35 - 
           (29065569716934172059132349458640650680958485467944452414767104*
             z^34)/35 + (2129024397170802273471884224100110210041056164436756\
98607645786112*z^35)/5 - 
           975176525388376576354259961038374600723306070299665227668232324775\
936*z^36)*Cf[z]^11 + ((10987233577595857*z^18)/9029615616 - 
           (1960912090193889187*z^19)/725760 + (18731423153213928543*z^20)/
            7 - (1367034109473790206626625792*z^21)/875 + 
           (14819615961897422417024092667904*z^22)/25 - 
           (26506800187862180500804501928430010368*z^23)/175 + 
           (130452805391303756636887695249098642817024*z^24)/5 - 
           (14602703771101523488438801703864012365979713536*z^25)/5 + 
           201328975605369069038265987424192941931040115523584*z^26 - 
           4576883267605770482333539705596013449925425464799657984*z^27)*
          Cf[z]^9*tS0[z] + ((-14215759181641*z^12)/653184 + 
           (687894901946237*z^13)/21 - (769148899137448071552*z^14)/35 + 
           (55593091329562450781208576*z^15)/7 - 
           (11086858818383750173346827862016*z^16)/7 + 
           163077616547642109592193771193237504*z^17 - 
           6593451202436048546594201824511731433472*z^18)*Cf[z]^7*tS0[z]^2 + 
         ((931146590*z^6)/9 - 149445228683520*z^7 + 48115437917555589120*
            z^8 - 4417276283350414471987200*z^9)*Cf[z]^5*tS0[z]^3 - 
         1031616000*Cf[z]^3*tS0[z]^4)*tS1[z]^7 + 
       (((21242839984316467*z^20)/433421549568 - (23849799180546593*z^21)/
            161280 + (1075979290250305062303*z^22)/5600 - 
           (125737997556583004590724976*z^23)/875 + 
           (60467969898591600297532341860352*z^24)/875 - 
           (3919768074958725735541262698627989504*z^25)/175 + 
           (860439076198926891238447455413337851953152*z^26)/175 - 
           (24622228996247058525246321097725929842305662976*z^27)/35 + 
           (2089356303696254986444135852192668006376252932882432*z^28)/35 - 
           840019417072425017495137039347237205562454421700345856*z^29 + 
           34240578050140031552709888459447520501914198699681786101760*z^30)*
          Cf[z]^10 + ((-18212225843843*z^14)/4478976 + 
           (18959914319910773*z^15)/2520 - (1011590851754197654992*z^16)/
            175 + (83689019735902955247550464*z^17)/35 - 
           577374936374039238487714037760*z^18 + 
           (2881068879157721490999995117655293952*z^19)/35 - 
           6600358104521288198402786550940214231040*z^20 + 
           301984133037057806385329580180556997015371776*z^21)*Cf[z]^8*
          tS0[z] + ((111651979175*z^8)/1296 - 87792646721568*z^9 + 
           31493195736610037760*z^10 - 4802458156411913722920960*z^11 + 
           265101883641910565787150581760*z^12)*Cf[z]^6*tS0[z]^2 + 
         (-512485600*z^2 + 93158221824000*z^3)*Cf[z]^4*tS0[z]^3)*tS1[z]^8 + 
       (((-315047063993761*z^16)/6019743744 + (4204740460908571*z^17)/30240 - 
           (25878413558597307786*z^18)/175 + (3073747442763678940698624*z^19)/
            35 - (5860281646893466562330862157824*z^20)/175 + 
           (301665459340163215146526515576963072*z^21)/35 - 
           (7228474823367400174055146977946194935808*z^22)/5 + 
           142228304850153129068032990621023404178800640*z^23 + 
           2420317410296165810215095030150892867306804740096*z^24)*Cf[z]^9 + 
         ((56489208695*z^10)/10368 - 6571107720892*z^11 + 2902797592743536640*
            z^12 - 585090146906191986425856*z^13 + 
           49960155663013379966547001344*z^14 - 
           497373120715009456827438653767680*z^15)*Cf[z]^7*tS0[z] + 
         ((-200579390*z^4)/3 + 22705192166400*z^5 - 1800291480934809600*z^6)*
          Cf[z]^5*tS0[z]^2)*tS1[z]^9 + 
       (((-250022331691*z^12)/2612736 + (16734718397818*z^13)/105 - 
           (3900902979147501888*z^14)/35 + (1295537792159594219470848*z^15)/
            35 - (28676354231476508367381331968*z^16)/7 - 
           781813668479364260045943044308992*z^17 + 
           291076560981667953058089393142074703872*z^18)*Cf[z]^8 + 
         ((-336947*z^6)/4 - 703473952320*z^7 + 300067747127377920*z^8 - 
           30698763320037054873600*z^9)*Cf[z]^6*tS0[z] - 
         13288000*Cf[z]^4*tS0[z]^2)*tS1[z]^10 + 
       (((378645085*z^8)/1296 - 334675177356*z^9 + 150326830835997696*z^10 - 
           33942413919547921268736*z^11 + 3810412289264095205196300288*z^12)*
          Cf[z]^7 + ((-9897800*z^2)/3 + 596077056000*z^3)*Cf[z]^5*tS0[z])*
        tS1[z]^11 + ((-2685365*z^4)/18 + 50608281600*z^5 - 
         4039140556800000*z^6)*Cf[z]^6*tS1[z]^12 - 20000*Cf[z]^5*tS1[z]^13)
 
Ff[11] = 1091605051416943980703264703304787724568571/
      153120892091888297023052716259986636800000 + 
     (10545807310178446583602995999690949868813*z)/
      1363255805661398655832022046474240000 - 
     (1676105095981927308114034347761838037717*z^2)/
      287765863911721746233819136000 + 
     (45558181648593717820919866773174696217*z^3)/20950479474286602240000 - 
     (16466017810006952839514738832878534611*z^4)/336781112948280000 + 
     (136622051156731330060249719988815488*z^5)/212837625 - 
     (526894354736982601482266870321848221696*z^6)/875875 + 
     (22403031810967215917168201304968109666336768*z^7)/67375 - 
     (1081816377246664738309075261789329316593474207744*z^8)/9625 + 
     (40702633280243998918364307059280112703698840389156864*z^9)/1925 - 
     (3264102203038610160173425152437075554090350938329662357504*z^10)/1925 + 
     ((-43664182660829360411453489065363682140969*z^60)/
        6124835683675531880922108650399465472000 + 
       (67347950350274191815627966873896062310330677*z^61)/
        2531760781942597503688040943452160000 - 
       (447663769727761245733298710982512919312708057*z^62)/
        9496273509086817625716031488000 + 
       (273891145997274154010012601264423905299691423*z^63)/
        5192298423178295869440000 - 
       (8765809274375328434774667978762185826682527721*z^64)/
        209736914648405760000 + 
       (72815460213867340748356618083302705899426512163*z^65)/
        2922003483399000 - (4151002089533167060198053471325196087421396494432*
         z^66)/357878145625 + 
       (308785141679287211270658950016972985739760915285221376*z^67)/
        71575629125 - 
       (3260747396220655569076757225380524823482144089280202904961024*z^68)/
        2505147019375 + 
       (115051453410966762749583791541789845868406390710709015856635969536*
         z^69)/357878145625 - 
       (45751813374669900289158112031477199407664037151886110930898882920448*
         z^70)/700740425 + (2732434015308386647255927377094509032559910951066\
1773634754101750094360477696*z^71)/2505147019375 - 
       (748129144193884142025070113092670997718906984964825390786639254971583\
893195456512*z^72)/501029403875 + (416127406273355454362035790968076573538607\
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          z^10 - 1916161165382582167142400*z^11 + 
         167802587639053127946495590400*z^12)*Cf[z]^6*tS0[z]^2 + 
       ((-3847492000*z^2)/3 + 257623234560000*z^3)*Cf[z]^4*tS0[z]^3)*
      tS1[z]^10 + (((-199489439996779*z^16)/1504935936 + 
         (2389461742213949*z^17)/7560 - (59410606789937087064*z^18)/175 + 
         (1495307501974313043628032*z^19)/7 - 
         (3055514466856331488280496832512*z^20)/35 + 
         (833162526309034014239005016605065216*z^21)/35 - 
         (144974535583832663688571674933836692586496*z^22)/35 + 
         416398326708396351623434185672300270515650560*z^23 + 
         5887372898448775622074412261504198756633055068160*z^24)*Cf[z]^9 + 
       ((167493411325*z^10)/15552 - 15412868805816*z^11 + 
         7820107249632417792*z^12 - 1810504156967315361497088*z^13 + 
         185092017530902402519284056064*z^14 - 
         4225824043570269212098715197636608*z^15)*Cf[z]^7*tS0[z] + 
       ((-763621600*z^4)/3 + 102640773888000*z^5 - 10218895969222656000*z^6)*
        Cf[z]^5*tS0[z]^2)*tS1[z]^11 + 
     (((413395598789*z^12)/1306368 - (67726783191693*z^13)/140 + 
         (1979599695548522976*z^14)/7 - (640803672985003234246656*z^15)/7 + 
         (156570692807126675638758408192*z^16)/7 - 
         4807458237220963496380198620758016*z^17 + 
         795973435475272962568567156254286282752*z^18)*Cf[z]^8 + 
       ((-1892357105*z^6)/108 + 10302427166400*z^7 - 1990531784359526400*
          z^8 + 126177709001545875456000*z^9)*Cf[z]^6*tS0[z] - 
       18360000*Cf[z]^4*tS0[z]^2)*tS1[z]^12 + 
     (((-10114625*z^8)/144 - 100901669640*z^9 + 119412906828834816*z^10 - 
         42768609458789702172672*z^11 + 6346483131429273942230040576*z^12)*
        Cf[z]^7 + ((-16621000*z^2)/3 + 1106680320000*z^3)*Cf[z]^5*tS0[z])*
      tS1[z]^13 + ((-6621925*z^4)/18 + 147370752000*z^5 - 
       14584441651200000*z^6)*Cf[z]^6*tS1[z]^14 - 20000*Cf[z]^5*tS1[z]^15 + 
     S2[z]^28*(((-48155810157925*z^4)/7077888 - (29645254306018125*z^5)/
          4096 + (27901281853780873875*z^6)/4)*Cf[z]^20 + 
       (16945499530625*Cf[z]^19*tS1[z])/196608) + 
     S2[z]^27*(((2132757668339375*z^6)/113246208 - (92758699425786975*z^7)/
          4096 - (23328704575962077625*z^8)/16 + 4181853296979266427126000*
          z^9)*Cf[z]^20 + (11931955435625*Cf[z]^18*tS0[z])/393216 + 
       ((-737944378188875*z^2)/4718592 + (180899342029693125*z^3)/1024)*
        Cf[z]^19*tS1[z]) + S2[z]^26*(((5874167292990125*z^8)/3057647616 + 
         (13898028385519315*z^9)/512 - (1682187250048648902765*z^10)/64 + 
         2732241505426800643186380*z^11 + 1679793147471674159650909347840*
          z^12)*Cf[z]^20 + ((-33087849420725*z^2)/589824 + 
         (30968124361491375*z^3)/512)*Cf[z]^18*tS0[z] + 
       ((-6282683688172975*z^4)/42467328 - (190559453273632125*z^5)/1024 + 
         164887796013302514375*z^6)*Cf[z]^19*tS1[z] + 
       (2418278977300625*Cf[z]^18*tS1[z]^2)/2359296) + 
     S2[z]^25*(((-115938273566670725*z^10)/4586471424 + 
         (471542656811664395*z^11)/16384 + (1089433381939181338365*z^12)/
          128 - 15366691633610887185868200*z^13 + 
         2643848869298591783313566853120*z^14 + 
         474086258290830706493058062997258240*z^15)*Cf[z]^20 + 
       ((-1899574264397575*z^4)/42467328 - (8498445056575425*z^5)/128 + 
         54790907330240790750*z^6)*Cf[z]^18*tS0[z] + 
       (((221950232845725575*z^6)/509607936 - (2011400905961447655*z^7)/
            4096 - (352318175317118877165*z^8)/8 + 92485669546569002863996800*
            z^9)*Cf[z]^19 + (201843344322875*Cf[z]^17*tS0[z])/294912)*
        tS1[z] + ((-1630602762708425*z^2)/884736 + (1008911465007528375*z^3)/
          512)*Cf[z]^18*tS1[z]^2) + 
     S2[z]^24*(((2499922004686391305*z^12)/330225942528 - 
         (6405297805800067555*z^13)/147456 + (5420380508741526287481*z^14)/
          128 - 7276512458418452010255852*z^15 - 
         4782054299317175416418062868736*z^16 + 
         1224265741249058173376694767858614272*z^17 + 
         95577526969847987732959437473953886502912*z^18)*Cf[z]^20 + 
       ((9205380881425825*z^6)/63700992 - (314886391586290845*z^7)/2048 - 
         17763782998176409500*z^8 + 29764141034836665981064320*z^9)*Cf[z]^18*
        tS0[z] + (35462524870475*Cf[z]^16*tS0[z]^2)/294912 + 
       (((-691738352720725*z^8)/1528823808 + (10010343960886493355*z^9)/
            16384 - (34986907177758301802895*z^10)/64 + 
           51394686525531570958015320*z^11 + 34605702651958255104033523138560*
            z^12)*Cf[z]^19 + ((-1105991588371175*z^2)/884736 + 
           (163391323677960375*z^3)/128)*Cf[z]^17*tS0[z])*tS1[z] + 
       ((-117039846083927225*z^4)/84934656 - (2163022868394515925*z^5)/1024 + 
         (3438281779726522483575*z^6)/2)*Cf[z]^18*tS1[z]^2 + 
       (1581097290717125*Cf[z]^17*tS1[z]^3)/221184) + 
     S2[z]^23*(((35819342018063049385*z^14)/1981355655168 - 
         (15069436956174305765*z^15)/917504 - (66072747453824834490609*z^16)/
          3584 + (51010744402605575855976291*z^17)/2 - 
         (53909864865547305033727009560960*z^18)/7 - 
         524304663162354383869885601915338752*z^19 + 
         356607175882589621237796252247669465939968*z^20 + 
         13637435902852476333011454998599356647120830464*z^21)*Cf[z]^20 + 
       ((-9013234622783075*z^8)/764411904 + (828864731112359935*z^9)/4096 - 
         (2712995034200426659455*z^10)/16 + 14342421848523322197733920*z^11 + 
         10763479450365901132431843164160*z^12)*Cf[z]^18*tS0[z] + 
       ((-65790155896025*z^2)/294912 + (13912131979660275*z^3)/64)*Cf[z]^16*
        tS0[z]^2 + (((-56191336106566475*z^10)/113246208 + 
           (1179024137961272695*z^11)/2304 + (6668140030629822220833*z^12)/
            32 - 303006533203263582168806808*z^13 + 
           49583091242502189910601467047936*z^14 + 
           9048193952065632922497255398229147648*z^15)*Cf[z]^19 + 
         ((-1013681375225275*z^4)/1327104 - (363262631666098365*z^5)/256 + 
           1078023011962972471290*z^6)*Cf[z]^17*tS0[z])*tS1[z] + 
       (((280104924791440825*z^6)/63700992 - (9471952689774856335*z^7)/2048 - 
           557397751342634353665*z^8 + 897730820521601324666811840*z^9)*
          Cf[z]^18 + (1987997349151775*Cf[z]^16*tS0[z])/294912)*tS1[z]^2 + 
       ((-134728408853750525*z^2)/10616832 + (3283297790942716875*z^3)/256)*
        Cf[z]^17*tS1[z]^3) + S2[z]^22*
      (((-660029462767830819025*z^16)/62412703137792 + 
         (51688096570327244204683*z^17)/1337720832 - 
         (134815127941187857573387*z^18)/3584 + (14796566103335610963953709*
           z^19)/2 + (46406370547300808640643043777280*z^20)/7 - 
         (22378044033865641265563447431441989632*z^21)/7 + 
         (1266622949583464663071097890071251043483648*z^22)/7 + 
         69843002477762030707728986018981616105711206400*z^23 + 
         1318331652123485218209213172638869834220502347939840*z^24)*
        Cf[z]^20 + ((-85726389558396655*z^10)/573308928 + 
         (3447330859075421855*z^11)/24576 + (2358472296281304964887*z^12)/
          32 - 92008334009713168814707800*z^13 + 
         14382745733259633139389905651712*z^14 + 
         2714936197254999259927587887190638592*z^15)*Cf[z]^18*tS0[z] + 
       ((-383392486893625*z^4)/3538944 - (999502124063265*z^5)/4 + 
         177478479968142170610*z^6)*Cf[z]^16*tS0[z]^2 + 
       (((80876365589855778455*z^12)/433421549568 - 
           (975233644522466481115*z^13)/1161216 + (5299557032194495974180*
             z^14)/7 - (785316037399980716116926396*z^15)/7 - 
           (624498634035288187639072462209024*z^16)/7 + 
           21661971893182061590253131126242017280*z^17 + 
           1677521777067395285934338667576315825094656*z^18)*Cf[z]^19 + 
         ((14503766374472975*z^6)/5308416 - (5535862510775757435*z^7)/2048 - 
           (3260017018283693406615*z^8)/8 + 543662079872887889435865600*z^9)*
          Cf[z]^17*tS0[z] + (41020433424575*Cf[z]^15*tS0[z]^2)/18432)*
        tS1[z] + (((-1980225157564453975*z^8)/4586471424 + 
           (881961367439576879765*z^9)/147456 - (315898241800264018214193*
             z^10)/64 + 409203903488383761570670824*z^11 + 
           311252358213531853229635475079168*z^12)*Cf[z]^18 + 
         ((-10724298170828275*z^2)/884736 + (1497779127107219025*z^3)/128)*
          Cf[z]^16*tS0[z])*tS1[z]^2 + ((-1360809294632733625*z^4)/191102976 - 
         (3566915808279488005*z^5)/256 + 10402878036931030371555*z^6)*
        Cf[z]^17*tS1[z]^3 + (344288640122554525*Cf[z]^16*tS1[z]^4)/
        10616832) + S2[z]^21*
      (((-20897707092524621857975*z^18)/2995809750614016 + 
         (3388818807691557411637*z^19)/2675441664 + 
         (225055580503914263578987*z^20)/10752 - 
         (692046734690404653588876231*z^21)/28 + 
         (48603784006025951000792747354496*z^22)/5 - 
         (7407612879747497705758050351358230528*z^23)/35 - 
         (24428328779737959259823472101819074190770176*z^24)/35 + 
         (469998749448047554201838326395504668655073886208*z^25)/5 + 
         (64377994255683266938670102566117588595214498851192832*z^26)/7 + 
         (2700924389880519994256842171694618673293870656059800027136*z^27)/
          35)*Cf[z]^20 + ((38507953141461325195*z^12)/577895399424 - 
         (131820433090302037855*z^13)/516096 + (6044263837718146605927*z^14)/
          28 - (193055771194192654189041384*z^15)/7 - 
         (185264524993733235301466890377216*z^16)/7 + 
         6148819199888923301585865318711951360*z^17 + 
         485170794975312378801977565627001683836928*z^18)*Cf[z]^18*tS0[z] + 
       ((21434840338384375*z^6)/47775744 - (425802827620645015*z^7)/1024 - 
         (301665472280112144915*z^8)/4 + 86252810494230682508828160*z^9)*
        Cf[z]^16*tS0[z]^2 + (26074896739625*Cf[z]^14*tS0[z]^3)/110592 + 
       (((5995895795330609310785*z^14)/20804234379264 - 
           (25154544305902693081*z^15)/124416 - (96030669664729789285095*
             z^16)/256 + (3081447611835645199702540581*z^17)/7 - 
           (874296465980009825318910586507008*z^18)/7 - 
           (67398154766743290291231048529802625024*z^19)/7 + 
           5860674554731490181224792989159891478249472*z^20 + 
           217654416299289377214704684377184324228348903424*z^21)*Cf[z]^19 + 
         ((-45375377572058375*z^8)/95551488 + (22729942344867742495*z^9)/
            6144 - (22882772764076760765873*z^10)/8 + 
           208679988068299971807440832*z^11 + 
           181609842317829392439676681519104*z^12)*Cf[z]^17*tS0[z] + 
         ((-5401035229912025*z^2)/1327104 + (119559693939157575*z^3)/32)*
          Cf[z]^15*tS0[z]^2)*tS1[z] + 
       (((-28579633490463819695*z^10)/6879707136 + 
           (93136258890900887095*z^11)/24576 + 2161378480117980931326*z^12 - 
           2585899408026930132153030156*z^13 + 
           400100512203058063562541114246144*z^14 + 
           74964502354777986032602440623777120256*z^15)*Cf[z]^18 + 
         ((-55928690433190975*z^4)/10616832 - (840256583136425415*z^5)/64 + 
           9160401808752806881260*z^6)*Cf[z]^16*tS0[z])*tS1[z]^2 + 
       (((7290388005096853825*z^6)/286654464 - (101487558754631433245*z^7)/
            4096 - (63248078700944796144105*z^8)/16 + 
           5028569586847209885700101120*z^9)*Cf[z]^17 + 
         (8413574893780175*Cf[z]^15*tS0[z])/221184)*tS1[z]^3 + 
       ((-1802361892644007475*z^2)/31850496 + (3454822835321531925*z^3)/64)*
        Cf[z]^16*tS1[z]^4) + S2[z]^20*
      (((112971938433569811991271*z^20)/16851429847203840 - 
         (2999036225896914309216997*z^21)/144473849856 + 
         (704422153440665679868727*z^22)/35840 - 
         (827580114082971774537664257*z^23)/280 - 
         (210677590508639405271585018645312*z^24)/35 + 
         (131565666251223527229914053045579481088*z^25)/35 - 
         (23021620465936234433081504167550327300554752*z^26)/35 - 
         (2113393554594373482433373669206185189263454240768*z^27)/35 + 
         (727796670415240224456129398543222698344784577528070144*z^28)/35 + 
         (26620449347136719466145442617924981923786820741066597072896*z^29)/
          35 + 
         (74181084669484107118258104969225681449240611408140563021561856*
           z^30)/35)*Cf[z]^20 + ((3530063063639290075*z^14)/46438023168 - 
         (718868689893567895169*z^15)/18579456 - 
         (13287676539262922971599*z^16)/112 + (621972807734416658701174236*
           z^17)/5 - (1174487370016418859157231368167424*z^18)/35 - 
         (14450925334502592312099705106417188864*z^19)/5 + 
         1607552715195524215168145581353052516909056*z^20 + 
         60805071085917380462624454249952317108136181760*z^21)*Cf[z]^18*
        tS0[z] + ((-197218043699580925*z^8)/1719926784 + 
         (700415378974063855*z^9)/1152 - (1756192041734503119003*z^10)/4 + 
         28337122140524224336511424*z^11 + 27649514871943624568404823113728*
          z^12)*Cf[z]^16*tS0[z]^2 + ((-49005095783875*z^2)/110592 + 
         (6131007834847875*z^3)/16)*Cf[z]^14*tS0[z]^3 + 
       (((-18237042238576140772645*z^16)/93619054706688 + 
           (627393149288458308693739*z^17)/1003290624 - 
           (2002606880655441058968491*z^18)/3584 + 
           (581810482191235279962343680*z^19)/7 + 
           (3905928748304725193004105935110656*z^20)/35 - 
           (1727156665512280229040938323175705837568*z^21)/35 + 
           (18537975001475406733930524889063640807768064*z^22)/7 + 
           (7375857548676399701100608820584815288957739728896*z^23)/7 + 
           (655776240661017903616223681660770048830113081261555712*z^24)/35)*
          Cf[z]^19 + ((-330685647149533195*z^10)/143327232 + 
           (206592318999860278025*z^11)/110592 + (11196258946075494958275*
             z^12)/8 - 1464111660271729958625281328*z^13 + 
           215905971039745779949070439604224*z^14 + 
           42056692669056538006241214460543893504*z^15)*Cf[z]^17*tS0[z] + 
         ((-29855542388362975*z^4)/23887872 - (139212082035359095*z^5)/32 + 
           2821363034309047008360*z^6)*Cf[z]^15*tS0[z]^2)*tS1[z] + 
       (((19530778545556623873685*z^12)/10402117189632 - 
           (21444569716425185469575*z^13)/3096576 + 
           (5149184979813183984977103*z^14)/896 - 
           (4835956931722137047778281844*z^15)/7 - 
           (5026197198362123269480304666866176*z^16)/7 + 
           164491098743213363825880646281784197120*z^17 + 
           12700843965959687142497068133765234653396992*z^18)*Cf[z]^18 + 
         ((2099707201757621725*z^6)/95551488 - (40999458416168360215*z^7)/
            2048 - (31601375129885262255135*z^8)/8 + 
           4262544852573134832531264000*z^9)*Cf[z]^16*tS0[z] + 
         (11604050723133475*Cf[z]^14*tS0[z]^2)/663552)*tS1[z]^2 + 
       (((-12430093830834588125*z^8)/2579890176 + (7389463414680312567595*
             z^9)/221184 - (811534181159465363333475*z^10)/32 + 
           1779655502113203637345489920*z^11 + 
           1605532770993677488219190967828480*z^12)*Cf[z]^17 + 
         ((-16685935496447525*z^2)/248832 + (1954222429392399075*z^3)/32)*
          Cf[z]^15*tS0[z])*tS1[z]^3 + 
       ((-25094264519630928475*z^4)/1146617856 - (45432094963432750475*z^5)/
          768 + 40452061947082051160475*z^6)*Cf[z]^16*tS1[z]^4 + 
       (399443976353100875*Cf[z]^15*tS1[z]^5)/3981312) + 
     S2[z]^19*(((330537158242690134490919*z^22)/323547453066313728 + 
         (95669323459653326053579*z^23)/24078974976 - 
         (1818496882753698284601227*z^24)/129024 + 
         (424009423971947720217662595*z^25)/28 - 
         (1199030540123909285180544609308592*z^26)/175 + 
         (102035617494237685010524481569410269184*z^27)/175 + 
         (15228466684455861091172348983061280775471104*z^28)/25 - 
         (34746744191539197245869953343470863642074187563008*z^29)/175 + 
         (1552325156931303376532359188200380051913924610386558976*z^30)/175 + 
         (468211992801043950441341553552714545127504100738209637466112*z^31)/
          175 + 
         (1057544284077439442276121211860222872392125211239185075360759808*
           z^32)/35 + 
         (693565080132851223811869704629379338618036302634926534043071676416*
           z^33)/7)*Cf[z]^20 + ((-22104268168100007638965*z^16)/
          374476218826752 + (86329993127046646486993*z^17)/501645312 - 
         (128465330347745123171909*z^18)/896 + (555948756821962725950121588*
           z^19)/35 + (1090277061017560617661197590117376*z^20)/35 - 
         (454363514955055360354040770958535426048*z^21)/35 + 
         (4587741833463832210627624854918676227293184*z^22)/7 + 
         (9729742390084097201689765002087213328111906062336*z^23)/35 + 
         (178948493157278322062584048499015855383616143352659968*z^24)/35)*
        Cf[z]^18*tS0[z] + ((-1729977323565590185*z^10)/5159780352 + 
         (1059937544300931145*z^11)/4608 + (961573355986794438213*z^12)/4 - 
         220290647496559921062279360*z^13 + 31154201362166229880566959702016*
          z^14 + 6109248812230480828762582589324132352*z^15)*Cf[z]^16*
        tS0[z]^2 + ((-251814613970675*z^4)/3981312 - (1893359085618525*z^5)/
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       (((915216550320829212415*z^14)/487599243264 - 
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29544031338496*z^35)/175 + 
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866816*z^36)/175)*Cf[z]^20 + ((-9116584557597364683299*z^18)/
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           (524484923063341533715*z^11)/55296 + (44426803714228722952647*
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           1351229163661606646261042029633536*z^14 + 
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           (36907851995517130199191*z^13)/1161216 + 
           (2700393779325697709240761*z^14)/112 - 
           (14435549718848425584009630648*z^15)/7 - 
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           18762197495449565632193971200*z^9)*Cf[z]^15*tS0[z] + 
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         (21651948857119620725*z^5)/128 + 105721083141007272998400*z^6)*
        Cf[z]^15*tS1[z]^5 + (5155476579905294875*Cf[z]^14*tS1[z]^6)/
        23887872) + S2[z]^17*
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         (11669401311337646350902799692562824240813284935312498663039696896*
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532462993178624*z^37)/175 + 
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2880*z^38)/7 + (4424942688883169801503037209205354482061397881696301442942456\
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         10826178333957333617126400*z^11 + 34149884666314159119789100892160*
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           (51517287380872363049891676801*z^25)/280 - 
           (2664948583780692908610755092849056*z^26)/35 + 
           (670606950260395507891490306369994645504*z^27)/175 + 
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           (18322620900128277147615938150432936634684450563929669632*z^30)/
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           (5418613659490248536395086652847548038639619686586373596250112*
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02347210866688*z^32)/175 + 
           (17687095624750787579103056869842066013235164517493406736929463363\
1744*z^33)/175)*Cf[z]^19 + ((-227511353146868900344775*z^16)/
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           355277379640954677433029633245184*z^14 + 
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       (((-90904502433746487198179*z^18)/280857164120064 - 
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           (155402709261875753214699821349*z^21)/70 + 
           (130253355808030351900829861508423168*z^22)/175 + 
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           (1349825721110301600956591275147871043839242725752832*z^25)/175 + 
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           (160294313719119684414240349654164299663355279678143402606592*
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           (1927253886773679448264115*z^14)/112 - 
           (34254226866572034900100505856*z^15)/35 - 
           (86934027256161001210007050162655232*z^16)/35 + 
           (2546036067437035923812935095537490722816*z^17)/5 + 
           (202784794698627231102268991251795471560081408*z^18)/5)*Cf[z]^16*
          tS0[z] + ((159995633379290825*z^6)/3981312 - 
           (3828132437175411205*z^7)/128 - 10265144591948128444170*z^8 + 
           7676169965128089565010841600*z^9)*Cf[z]^14*tS0[z]^2 + 
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       (((49495703681362137976355*z^14)/7801587892224 + 
           (6524492503908048411127*z^15)/167215104 - 
           (13470716077290384626518823*z^16)/896 + 
           (458501632202791522674296492508*z^17)/35 - 
           (111859303709257935156326761580491776*z^18)/35 - 
           341397979239422699091653625621514027008*z^19 + 
           (805046798876157435254953865160118443712708608*z^20)/5 + 
           (28505596521948947930849237487505826833819244691456*z^21)/5)*
          Cf[z]^17 + ((-32792452277894074955*z^8)/967458816 + 
           (2546792170161725076655*z^9)/20736 - 79650635685296626880334*
            z^10 + 3355658407668914926563184128*z^11 + 
           5236195090029517394045965552582656*z^12)*Cf[z]^15*tS0[z] + 
         ((-397462333742741575*z^2)/2985984 + (861158671640918125*z^3)/8)*
          Cf[z]^13*tS0[z]^2)*tS1[z]^3 + 
       (((-3369890853762995619605*z^10)/61917364224 + 
           (5417220579352840457605*z^11)/165888 + (89723254199490096892065*
             z^12)/2 - 37823514318151536736337006592*z^13 + 
           5098002843168036229286938969718784*z^14 + 
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         ((-5699018251235540225*z^4)/214990848 - (129958589096622559975*z^5)/
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       (((191806145856357124825*z^6)/859963392 - (275908403773424852705*z^7)/
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           42844221900648790102207641600*z^9)*Cf[z]^15 + 
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       ((-2135855238963560125*z^2)/5971968 + (19349802901467812125*z^3)/64)*
        Cf[z]^14*tS1[z]^6) + S2[z]^16*
      (((193385302924886248105036925*z^28)/384374374242780708864 - 
         (6349839668899076909122809869*z^29)/5149048008867840 + 
         (2597135486083956516666663857*z^30)/3941498880 + 
         (359888954202661314850354960747*z^31)/369600 - 
         (3317155690324226201943549602218713*z^32)/1925 + 
         (11198151425571229591408793399576794301952*z^33)/9625 - 
         (3758071013254364023023382642322539010894856192*z^34)/9625 + 
         (16645525629618774569907591278704646370747538735104*z^35)/385 + 
         (17786297874652768358010742524925901208364371540682211328*z^36)/
          1375 - 
         (45041890153466264621229559938127491179666513605065604287430656*
           z^37)/9625 + 
         (680905973887344991002265935537573358320610223174064883436001165312*
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           (72431994249211885413361002210213391484408857203548773950587320623\
245033472*z^38)/5 - (13116250039213686474418528617739160181074198231241712889\
22376110523103185993728*z^39)/5)*Cf[z]^11*tS0[z]^2 + 
         ((-100751379460236325*z^20)/282175488 + (137211107506833372731*z^21)/
            120960 - (265548239453803875072702*z^22)/175 + 
           (1000474195715885202472612597248*z^23)/875 - 
           (94958749954936015522164776977956864*z^24)/175 + 
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           (6329470172217633180518826956802903674984595456*z^26)/175 + 
           (179422056773465630061597788763096969978613201895424*z^27)/35 - 
           (16318523269303659091019359500419169179176785460699594752*z^28)/
            35 + 24702245896689413684602505736830610785054971177554910642176*
            z^29 - 
           574744357162256689406342456387812861970404227400708843376738304*
            z^30)*Cf[z]^9*tS0[z]^3 + ((4345588335074515*z^14)/435456 - 
           (140149789887268698*z^15)/7 + (114424017765843214121472*z^16)/7 - 
           (49574293027422745885919281152*z^17)/7 + 
           (12398189915168798282708005857263616*z^18)/7 - 
           257238392914349309651898575623601258496*z^19 + 
           20181119162533267030455487579860664728944640*z^20 - 
           661501625424431273905117747721959950711175249920*z^21)*Cf[z]^7*
          tS0[z]^4 + ((-8106365100175*z^8)/72 + 120517857110741760*z^9 - 
           44319955919587902259200*z^10 + 6856489898208421060018176000*z^11 - 
           382180799054627312107954529894400*z^12)*Cf[z]^5*tS0[z]^5 + 
         (459863712000*z^2 - 85395977256960000*z^3)*Cf[z]^3*tS0[z]^6)*
        tS1[z]^5 + (((51387803900389789691*z^34)/156187789602324480 - 
           (23762854370306477123085277*z^35)/6778983923712000 + 
           (3795031782855984113917923781*z^36)/392302310400 - 
           (12906315273406596249078915811153*z^37)/945945000 + 
           (52718145060398440008294375446099304*z^38)/4379375 - 
           (160133070248664131744331347669655499057152*z^39)/21896875 + 
           (353822053758335096570268456188200748579632447488*z^40)/
            109484375 - 
           (117597681372483658854640769780177133069920424425422848*z^41)/
            109484375 + 
           (1193505274187302493332293228510224071696147361625437896704*z^42)/
            4379375 - 
           (44759644451602231270384042036255587894563379540851971395158016*
             z^43)/875875 + (485218838665798732083901291060942653829102872209\
7029574285267566592*z^44)/875875 + 
           (80170877525823642056509805852322220647561750830030933659994855099\
5968*z^45)/5005 - (1114177288732531604990271025227715172392704597595087541068\
12873707847749206016*z^46)/875875 + (3186605508749097918167977765190285050520\
4562007302842761037322600345629234919636992*z^47)/875875 - 
           (10868389010469527809120347540332397967139309350718475616255413915\
0302615689708437504*z^48)/35 + (257993534967993071613913878157056608033748254\
32888355354572038638612159719412339860045824*z^49)/175 - 
           (18778269784872760476657342951232470558949356670608882684700779243\
353352010871856119081336832*z^50)/5 + (31039867539089140041411754153106346691\
5539312671597470185597314108410264640044811562666787078144*z^51)/7)*
          Cf[z]^14 + ((-2192240341333715486293*z^28)/9010834015518720 + 
           (2571342806069463699446093*z^29)/4345502515200 - 
           (1510808723146384759527319*z^30)/3725568 - 
           (15027575748913244781867905914*z^31)/67375 + 
           (4069384136000889281220821761178496*z^32)/6875 - 
           (33600397167162420471115100417012794785792*z^33)/67375 + 
           (7677894387908770112348938359397262377718120448*z^34)/30625 - 
           (5719719282304437770150242436435110494058445078003712*z^35)/
            67375 + 
           (1357135241844549250358521422284420848474677590660443275264*z^36)/
            67375 - 
           (9133085146496661757268192509570636807677617460660052036681728*
             z^37)/2695 + (49733552134036802036906918737328166871634778732287\
2791509577498624*z^38)/1225 - 
           (11064025657481729118684874748729708000589813509204401107965780856\
66816*z^39)/35 + 
           (33350621378736330204865000338562405770338477054736018556701885308\
4287729664*z^40)/175 - (33523596550727900517878473836648049860856224491564525\
8963516952549471715065856*z^41)/5 + (5381190023129046184532022040013676147322\
369510470217639016295694710028081670651904*z^42)/5)*Cf[z]^12*tS0[z] + 
         ((-51793327886291725*z^22)/36118462464 + (90588569480171399321*z^23)/
            3483648 - (249132206906427677198327*z^24)/4200 + 
           (54301714290812953888216818624*z^25)/875 - 
           (33179021180745416198208877558874112*z^26)/875 + 
           (13059694066672255090102737690844049965056*z^27)/875 - 
           (27706121287629912694555628586896283798601728*z^28)/7 + 
           (17922245681916691039377791036731226324099854761984*z^29)/25 - 
           (3059440461940020371066337674175925878501598254172471296*z^30)/
            35 + (48458400621238871071277361849867823387321994481453854883840*
             z^31)/7 - 
           293502371795045986312672915803660414738310091773161748675166208*
            z^32 + 5770623379308535426582090305041237064320823259018092896884\
478705664*z^33)*Cf[z]^10*tS0[z]^2 + ((48342862620531265*z^16)/62705664 - 
           (5040933262674846041*z^17)/2520 + (353118232745727470591328*z^18)/
            175 - (5354628333107341532229107712*z^19)/5 + 
           (1669869380994638867839990326362112*z^20)/5 - 
           (2221056889759020458821981273720570773504*z^21)/35 + 
           (50636974956414955625841575858348645588926464*z^22)/7 - 
           454368132024748309015223824128241252915677757440*z^23 + 
           12516092951504032892053137234710112654159368241020928*z^24)*
          Cf[z]^8*tS0[z]^3 + ((-25076153938865*z^10)/1296 + 
           25288927214619204*z^11 - 11972420562768231859200*z^12 + 
           2656520149364918925262848000*z^13 - 
           280358986283737923484119528898560*z^14 + 
           11328195956190860422974830735366553600*z^15)*Cf[z]^6*tS0[z]^4 + 
         (126468407600*z^4 - 44792631770112000*z^5 + 3769974134053797888000*
            z^6)*Cf[z]^4*tS0[z]^5)*tS1[z]^6 + 
       (((712498818948339685487*z^30)/281138021284184064 + 
           (205413335834800372043851*z^31)/32280875827200 - 
           (505808496464961097546060733*z^32)/13621608000 + 
           (22950111047995681104503591303*z^33)/341250 - 
           (12383623465493002439609303269401888*z^34)/175175 + 
           (1104843675616612287173445781184542503800832*z^35)/21896875 - 
           (114499683170014509468206754640517283604702691328*z^36)/4379375 + 
           (44391424588955598445487462090367938474812655102066688*z^37)/
            4379375 - 
           (2592036016226464251269705771278941796216340201220115267584*z^38)/
            875875 + 
           (50924220045824575621293440037010258450060952536217364084031488*
             z^39)/79625 - (1247299557206373483921119097603111036524716850667\
4748955402832969728*z^40)/125125 + 
           (90051942622805418222818965138334148983624412994979094269300979792\
6617088*z^41)/79625 - 
           (11998000008150005300976040750168950387082590738209457826268974475\
8102818816*z^42)/175 + (60983467427151440746869517621036914798920460128058198\
69795870715423121184129024*z^43)/175 - (4194408459056980180910734855404335545\
7302680853785438765267346087484846039812276224*z^44)/35 + 
           (72370685059274609612668904697072379474721438124623431596430741292\
5005511000262373801984*z^45)/35)*Cf[z]^13 + 
         ((4053416491230659711*z^24)/1986515435520 - 
           (105355284232827477689383*z^25)/17244057600 + 
           (9006275771699783306197661*z^26)/1108800 - 
           (12351195828317723767039790136*z^27)/1925 + 
           (163062237809534804094360001299987456*z^28)/48125 - 
           (12251829847107576886125015041712561586176*z^29)/9625 + 
           (681040510120267623722228448912981546548330496*z^30)/1925 - 
           (144700862663481775086330765715952935567847243907072*z^31)/1925 + 
           (23942892663291090357099392357664537407965799089975590912*z^32)/
            1925 - 
           (7737530769290251249721868756979135885590674561866125017088*z^33)/
            5 + 
           (5525335605188144638029047106486349654518896975620988055135977472*
             z^34)/35 - (3252416812212194267030158859773806812454146164727156\
4039964342616064*z^35)/5 + 
           131230799428514589822642690137306171749435241588664684651097398467\
100672*z^36)*Cf[z]^11*tS0[z] + ((-69809210088492359*z^18)/1003290624 + 
           (6959154588368598611*z^19)/48384 - (3384701318575107087231*z^20)/
            25 + (1927384306049115813110420736*z^21)/25 - 
           (5087402143417101598689067291312128*z^22)/175 + 
           (1292594792145649679249986822679121887232*z^23)/175 - 
           (43222661958450399128567832370390275754819584*z^24)/35 + 
           (4497364886994813509114842037062981535740295380992*z^25)/35 - 
           6764664999390914711464126734124819793241151352340480*z^26 + 
           261885851657143370064483541343730250579470789240139284480*z^27)*
          Cf[z]^9*tS0[z]^2 + ((36265070250155*z^12)/108864 - 
           (3506864253240942*z^13)/7 + (3026087174434735911168*z^14)/7 - 
           (1394565720851614784489127936*z^15)/7 + 
           (335248648254425630878357801402368*z^16)/7 - 
           5728426085821271921094966156114001920*z^17 + 
           277543229659514441146524043505903421358080*z^18)*Cf[z]^7*
          tS0[z]^3 + ((17421892625*z^6)/9 + 2312505601372800*z^7 - 
           1192209192845763379200*z^8 + 128563151992100367630336000*z^9)*
          Cf[z]^5*tS0[z]^4 + 32924160000*Cf[z]^3*tS0[z]^5)*tS1[z]^7 + 
       (((-44786829230949461387*z^26)/1092222304911360 + 
           (10398531663292129542901*z^27)/120708403200 - 
           (143195454727010465809669*z^28)/2661120 - 
           (1895692222730571840492800763*z^29)/67375 + 
           (25240361305271876272652073307886592*z^30)/336875 - 
           (22119638684052485788134161726849934163968*z^31)/336875 + 
           (2380382425165724939841855912642956211932626944*z^32)/67375 - 
           (124782897747792529784482085543804932955707212300288*z^33)/9625 + 
           (4010114146090900419558323788737738846422295751616888832*z^34)/
            1225 - 
           (7474090552488667839284038939762281202402543853531687427244032*
             z^35)/13475 + 
           (2203569546685869760345042170555448379097204526757680872324857856*
             z^36)/35 - (7744955944276457345113993736753000516549223067287715\
6936358628950016*z^37)/35 + 
           707936300683408123337863604263142439172423076380453790430563732155\
26912*z^38 - 
           (58843895810339470651166730210630551367948663895099933223722417659\
11142334464*z^39)/5)*Cf[z]^12 + ((-621194977695714073*z^20)/72236924928 + 
           (33575529533351782841*z^21)/1451520 - (75682921631094823206479*
             z^22)/2800 + (15816392331400259518413181536*z^23)/875 - 
           (190921912690557896862178801471488*z^24)/25 + 
           (371345005552157102533136099040911425536*z^25)/175 - 
           (69185215010226344081335053272485279781879808*z^26)/175 + 
           (1778054276185912940426155059990419071808103776256*z^27)/35 - 
           (163505510890495380427306105260183441749093773020758016*z^28)/35 + 
           501927897760339739069756244295275079552361527665556979712*z^29 - 
           9459713719735060295997827647268869274438551682208486289047552*
            z^30)*Cf[z]^10*tS0[z] + ((3238190247501533*z^14)/10450944 - 
           (486620291003541341*z^15)/840 + 454018182989309096976*z^16 - 
           (6743049665639385368262721536*z^17)/35 + 
           (334300270666146440273320580481024*z^18)/7 - 
           (48111858213043572894174516157649780736*z^19)/7 + 
           519989572801374052204357868823025608032256*z^20 - 
           10464643526404996932743852699679273856039649280*z^21)*Cf[z]^8*
          tS0[z]^2 + ((-880675674665*z^8)/216 + 4311474626871360*z^9 - 
           1585245586131473448960*z^10 + 246440488978269403191705600*z^11 - 
           13836849224306718171417123225600*z^12)*Cf[z]^6*tS0[z]^3 + 
         (20934078000*z^2 - 3863419130880000*z^3)*Cf[z]^4*tS0[z]^4)*
        tS1[z]^8 + (((116786199442223683*z^22)/481579499520 - 
           (80422681458790880477*z^23)/116121600 + 
           (30170085791997502839017*z^24)/33600 - 
           (594375933841105816484118648*z^25)/875 + 
           (55158492255752280970264922606592*z^26)/175 - 
           (2031771613203662638514144193983545344*z^27)/25 + 
           (27787417352979097120859912900337154916352*z^28)/7 + 
           (31570433653174295039695500178007766518980411392*z^29)/7 - 
           (7674837363076997147956662568524129799477868925812736*z^30)/5 + 
           (8585364514082135519141157429786960926846934064222923915264*z^31)/
            35 - 
           1868678196740695673820941617036576384684309556154016481673216*
            z^32 + 
           13175865169988967809385512011979261557385839995153994964143177728*
            z^33)*Cf[z]^11 + ((56337858863788049*z^16)/3009871872 - 
           (10157599213728041*z^17)/252 + (1238859759399866208468*z^18)/35 - 
           (570532002949034085875355648*z^19)/35 + 
           (142948177164504853428327702331392*z^20)/35 - 
           (16402110240043422259834474357938192384*z^21)/35 - 
           (230734736682011353734879495840988353527808*z^22)/35 + 
           7269070384566761371931679829500074932819722240*z^23 + 
           531762595631725367844289614575129752835502272151552*z^24)*Cf[z]^9*
          tS0[z] + ((-15550797043655*z^10)/31104 + 625048975467612*z^11 - 
           294214477555893473280*z^12 + 67379197929056464530309120*z^13 - 
           7829499951815481188547727196160*z^14 + 
           425465098550562088345048647834009600*z^15)*Cf[z]^7*tS0[z]^2 + 
         ((35675095100*z^4)/9 - 1397964075264000*z^5 + 117653355444436992000*
            z^6)*Cf[z]^5*tS0[z]^3)*tS1[z]^9 + 
       (((-8745800599501969*z^18)/12039487488 + (12776661474950973059*z^19)/
            5806080 - (4072153032844708504191*z^20)/1400 + 
           (379086563942080834234461984*z^21)/175 - 
           (170593957591868283500814549295104*z^22)/175 + 
           (45302653428196536671001329473727496192*z^23)/175 - 
           (168061963277290723042674748374841886244864*z^24)/5 - 
           (17472829483659863241722929287289733306445201408*z^25)/35 + 
           862775123517280692517484317132533275464408171020288*z^26 + 
           1551957481313854532606837025096933344997244489728786432*z^27)*
          Cf[z]^10 + ((-17476765657243*z^12)/1306368 + 
           (2206396817409154*z^13)/105 - (85970315211216066432*z^14)/7 + 
           (22001996515193446470451200*z^15)/7 - 
           (573825851951365661411141222400*z^16)/7 - 
           148706449999041150685496831845072896*z^17 + 
           38398804246836817670668296113550778171392*z^18)*Cf[z]^8*tS0[z] + 
         ((11763254815*z^6)/108 - 11012082062400*z^7 - 9392906696782233600*
            z^8 + 1416251699955203309568000*z^9)*Cf[z]^6*tS0[z]^2 + 
         643600000*Cf[z]^4*tS0[z]^3)*tS1[z]^10 + 
       (((2219525282255*z^14)/2612736 - (9394629299956199*z^15)/3360 + 
           (126491012042102196624*z^16)/35 - (86296758028190623064936448*
             z^17)/35 + (33621106794681546587993600950272*z^18)/35 - 
           (7222273152786404153315552281497698304*z^19)/35 + 
           18272183391347577845133094321012718174208*z^20 + 
           1765043320307451993176912865599165954997092352*z^21)*Cf[z]^9 + 
         ((-11545923955*z^8)/648 + 14373468718200*z^9 - 1649506143934420992*
            z^10 - 1091020431551091138625536*z^11 + 
           301740466236668638989373145088*z^12)*Cf[z]^7*tS0[z] + 
         (245201000*z^2 - 44996912640000*z^3)*Cf[z]^5*tS0[z]^2)*tS1[z]^11 + 
       (((5436480683*z^10)/6912 - 629161152416*z^11 - 435040568119931904*
            z^12 + 707878960480314456145920*z^13 - 
           322145693517755598638539603968*z^14 + 
           61743272377206452153310029983776768*z^15)*Cf[z]^8 + 
         ((214509725*z^4)/9 - 8375457024000*z^5 + 705004653477888000*z^6)*
          Cf[z]^6*tS0[z])*tS1[z]^12 + 
       (((-258712195*z^6)/108 + 3305441596320*z^7 - 1563647446726041600*z^8 + 
           288387476312612143104000*z^9)*Cf[z]^7 + 2680000*Cf[z]^5*tS0[z])*
        tS1[z]^13 + ((1020250*z^2)/3 - 62052480000*z^3)*Cf[z]^6*tS1[z]^14)
 
Ff[12] = 1048577325267122764284832783060670164624600037627/
      16252618976774044377939670630354005597880320000 + 
     (58303977137357555796055472193719260390607301221*z)/
      29858573957918217919495279670697394176000 + 
     (536682423672755676482946994118909602063190471*z^2)/
      4666468802365262181276857873203200 + 
     (3160979450650347372526372422706995782975176097*z^3)/
      535814043481461063950991360000 - 
     (538188755900266798751437022486643976847363*z^4)/872936644761941760000 + 
     (8056813620979908174812512912413320287729*z^5)/38979295480125 - 
     (982510973254545325009407447446179889088512*z^6)/2483105625 + 
     (9138704259844545874010127493618331057066606592*z^7)/30655625 - 
     (123605612865039927006761788512406454213508518117376*z^8)/875875 + 
     (5238094487156808664322046929206180326281487824436854784*z^9)/125125 - 
     (8634649806003983213733402485603192866040256251167550472192*z^10)/1225 + 
     (64299184102272821447992468154028288411772721229786716380638216192*z^11)/
      125125 + ((-1048577308630520026993841546018470296370347764273*z^66)/
        16252618976774044377939670630354005597880320000 + 
       (1373918804573720715811563062569022747601787103930047*z^67)/
        5225250442635688135911673942372043980800000 - 
       (1431202954548763554426050013440755291764326391219439*z^68)/
        2799881281419157308766114723921920000 + 
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         2590819798194169627943174468944721779630832777794627666182144*z^30)*
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         (113349446511633994661*z^23)/38707200 + 
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          z^32 + 
         (884290707293711486163382227065058440111388301172579558773059747840*
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     (((-6379444545242191*z^18)/9029615616 + (538486001507142037*z^19)/
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         2853613756949550033424854020421518215999914705822941184*z^27)*
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         112001211504920034432*z^14 + 34993253290323768242798592*z^15 - 
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         50466390581716299552941290228285440*z^17 + 
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       ((82025393585*z^6)/54 - 898004888035200*z^7 + 174831016013210419200*
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       922720000*Cf[z]^4*tS0[z]^3)*tS1[z]^12 + 
     (((-3961085658991*z^14)/2985984 - (1187165449427719*z^15)/1260 + 
         (166780572675120829584*z^16)/35 - (32314936873221633932697600*z^17)/
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         (17132212251075163684946748626631131136*z^19)/35 + 
         44697640458904906297088843141772749045760*z^20 + 
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       ((23598832615*z^8)/324 - 70947091410720*z^9 + 32355754140704808960*
          z^10 - 8442100626436756089077760*z^11 + 
         1142464305219577546274431303680*z^12)*Cf[z]^7*tS0[z] + 
       (418286000*z^2 - 83745653760000*z^3)*Cf[z]^5*tS0[z]^2)*tS1[z]^13 + 
     (((124206216943*z^10)/31104 - 3766457442788*z^11 - 
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         716732587945265557847691755520*z^14 + 
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       ((505751650*z^4)/9 - 22564334592000*z^5 + 2240692665384960000*z^6)*
        Cf[z]^6*tS0[z])*tS1[z]^14 + 
     (((-725479405*z^6)/216 + 5572651969440*z^7 - 2884094664960614400*z^8 + 
         558318133197297156096000*z^9)*Cf[z]^7 + 2800000*Cf[z]^5*tS0[z])*
      tS1[z]^15 + ((1265000*z^2)/3 - 83980800000*z^3)*Cf[z]^6*tS1[z]^16 + 
     S2[z]^31*(((-9725693386924375*z^4)/75497472 - (1886720224011950475*z^5)/
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       (1563302688908375*Cf[z]^21*tS1[z])/1048576) + 
     S2[z]^30*(((28155737260039675*z^6)/84934656 - (14296665248854663275*z^7)/
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          z^9)*Cf[z]^22 + (920775822028375*Cf[z]^20*tS0[z])/1572864 + 
       ((-6382086101909375*z^2)/2359296 + (13656173607381913875*z^3)/4096)*
        Cf[z]^21*tS1[z]) + S2[z]^29*(((4261871850076829375*z^8)/48922361856 + 
         (32518783388747886725*z^9)/65536 - (34462919777943487424085*z^10)/
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         36546542001735148355988328335360*z^12)*Cf[z]^22 + 
       ((-1272637395899375*z^2)/1179648 + (1306167403887838125*z^3)/1024)*
        Cf[z]^20*tS0[z] + ((-572645290623059125*z^4)/169869312 - 
         (27863455997082061575*z^5)/8192 + (6829576049470704821325*z^6)/2)*
        Cf[z]^21*tS1[z] + (195181629370372625*Cf[z]^20*tS1[z]^2)/9437184) + 
     S2[z]^28*(((-9850657290295093475*z^10)/18345885696 + 
         (181171939795308608665*z^11)/262144 + (34924447868722203674205*z^12)/
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         61242880305894315079355420394240*z^14 + 
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       ((-101668665047930725*z^4)/84934656 - (688664699718040125*z^5)/512 + 
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       (((4581576619756357475*z^6)/509607936 - (367268202203131495875*z^7)/
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           2116800549726310796955379200*z^9)*Cf[z]^21 + 
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       ((-131574489270186875*z^2)/3538944 + (178663660962783915375*z^3)/4096)*
        Cf[z]^20*tS1[z]^2) + S2[z]^27*
      (((10109706813952978625*z^12)/110075314176 - 
         (1104454780148389899245*z^13)/1179648 + 
         (1048907937375740600754885*z^14)/1024 - 
         (399144615092922487336983693*z^15)/2 - 
         116903839022578775974038687318528*z^16 + 
         31142069099325009454264421045222965248*z^17 + 
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       ((143761829102628775*z^6)/42467328 - (32978631801070472325*z^7)/8192 - 
         (9825418793640962804625*z^8)/32 + 763949822957043783122664000*z^9)*
        Cf[z]^20*tS0[z] + (5299259359461875*Cf[z]^18*tS0[z]^2)/1769472 + 
       (((5948808806952162325*z^8)/4076863488 + (428850904004548357205*z^9)/
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           1384799286497481931942940220*z^11 + 
           883427774250839648789338979696640*z^12)*Cf[z]^21 + 
         ((-16744834989447125*z^2)/589824 + (4088015342239753125*z^3)/128)*
          Cf[z]^19*tS0[z])*tS1[z] + ((-245268575286866075*z^4)/6291456 - 
         (184739699715731786475*z^5)/4096 + (336014157815245124260425*z^6)/8)*
        Cf[z]^20*tS1[z]^2 + (404027790993277625*Cf[z]^19*tS1[z]^3)/2359296) + 
     S2[z]^26*(((40296898276587399305*z^14)/82556485632 - 
         (14004592528566130548185*z^15)/24772608 - 
         (5117120056868224669164729*z^16)/14336 + 
         (5204440968134994229279146327*z^17)/8 - 
         (1470759060764014359927643585406304*z^18)/7 - 
         14889406471685002943038821924137705472*z^19 + 
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       ((5445906294325482025*z^8)/18345885696 + (60294933550602604385*z^9)/
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         462027118393447424471527560*z^11 + 308485214304185686391292957327360*
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       (((-77870439688526246425*z^10)/6115295232 + 
           (5999592750396744317975*z^11)/393216 + (2035866018159419055935805*
             z^12)/512 - 7960144188431548308074630895*z^13 + 
           1376572747542698536904223804810240*z^14 + 
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         ((-1660933692866647025*z^4)/63700992 - (17442440218820794125*z^5)/
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       (((18449569876352122075*z^6)/169869312 - (4189338613539075993375*z^7)/
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           24390083240828720729523777600*z^9)*Cf[z]^20 + 
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       ((-2152788243399066625*z^2)/7077888 + (347377425608440114875*z^3)/
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     S2[z]^25*(((-287293767018597788340085*z^16)/1331471000272896 + 
         (12135017225729624579095*z^17)/11943936 - 
         (2292038453838706203733247*z^18)/2048 + 
         (15485215962291253464724343757*z^19)/56 + 
         (6244702711688333705445436908035376*z^20)/35 - 
         (3314783928588345453789054914529414610944*z^21)/35 + 
         (174273478021128976113828682342815298146533376*z^22)/35 + 
         (11416470667802081576166319560786671798787105619968*z^23)/5 + 
         (268846786218684636479268134038790930437694570436231168*z^24)/5)*
        Cf[z]^22 + ((-20522948657573065825*z^10)/4586471424 + 
         (1483590806720115083975*z^11)/294912 + 
         (204760515432985208473905*z^12)/128 - 2754402617446602592174071120*
          z^13 + 462342903391806028874078723850240*z^14 + 
         87884546014593143936563619992185077760*z^15)*Cf[z]^20*tS0[z] + 
       ((-92935741838107225*z^4)/21233664 - (210586190780389725*z^5)/32 + 
         5411194639212359637000*z^6)*Cf[z]^18*tS0[z]^2 + 
       (((1577772177209084869975*z^12)/513684799488 - 
           (202150154975451664441405*z^13)/9289728 + 
           (79752741153052575479415507*z^14)/3584 - 
           (27720843314740720825424074524*z^15)/7 - 
           (18042339322073146785535009781872128*z^16)/7 + 
           661059531903058159245722262669487767552*z^17 + 
           55676787736229818062254750821295979478646784*z^18)*Cf[z]^21 + 
         ((619181339546322025*z^6)/7962624 - (178395449510495520875*z^7)/
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           16776505086215709448334707200*z^9)*Cf[z]^19*tS0[z] + 
         (9950163822334625*Cf[z]^17*tS0[z]^2)/147456)*tS1[z] + 
       (((88307024360734290875*z^8)/12230590464 + (11301449484674721208235*
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           13919419821556087191579622140*z^11 + 
           9494591421651974659669278812405760*z^12)*Cf[z]^20 + 
         ((-146768684061046025*z^2)/442368 + (45385179664238839125*z^3)/128)*
          Cf[z]^18*tS0[z])*tS1[z]^2 + 
       ((-66634276096004375875*z^4)/254803968 - (363030368443002971925*z^5)/
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       (1111377276969428375*Cf[z]^18*tS1[z]^4)/1179648) + 
     S2[z]^24*(((-398914407703992922363675*z^18)/1497904875307008 + 
         (1522271750387338342790953*z^19)/7134511104 + 
         (85576176305029869344768081*z^20)/172032 - 
         (833512558073305647832050929013*z^21)/1120 + 
         (11232053947483002991378083725357112*z^22)/35 - 
         (356107759574474361734825746571335673856*z^23)/35 - 
         (813230802566176604855080398759782949042782208*z^24)/35 + 
         (106430725675809360498313288505384451876778628087808*z^25)/35 + 
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         (155308299581090511634717884280948562953145165841399810097152*z^27)/
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         (4457182764620828053885*z^13)/580608 + 
         (3328931624262022613239743*z^14)/448 - (8584356575468250152157551490*
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         216314188088801575411124842373303500800*z^17 + 
         18030307922293535182185935918782456912674816*z^18)*Cf[z]^20*tS0[z] + 
       ((150910291587193925*z^6)/10616832 - (30895131645640919265*z^7)/2048 - 
         (14332695197330581169895*z^8)/8 + 2941695584523413920551225600*z^9)*
        Cf[z]^18*tS0[z]^2 + (5422750873655375*Cf[z]^16*tS0[z]^3)/663552 + 
       (((205366474945237186944985*z^14)/20804234379264 - 
           (2246861613152194937291695*z^15)/222953472 - 
           (3947589785540562567265875*z^16)/448 + 
           (379962466221273262469788924575*z^17)/28 - 
           (29277213006608638800083751963062592*z^18)/7 - 
           (2194668366498470407863883300062396383232*z^19)/7 + 
           201364481711582605391453949639447477051457536*z^20 + 
           8582427792034824637870174307055256039200890290176*z^21)*Cf[z]^21 + 
         ((-1501112687292552175*z^8)/3439853568 + (167609711661735356045*z^9)/
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           8726539929378734756473374240*z^11 + 
           6303934503472884358731405150781440*z^12)*Cf[z]^19*tS0[z] + 
         ((-18181600209275525*z^2)/147456 + (8055187504577069625*z^3)/64)*
          Cf[z]^17*tS0[z]^2)*tS1[z] + 
       (((-7290576473869756622975*z^10)/55037657088 + 
           (57513598950059433140945*z^11)/393216 + 
           (25649111532798266684718429*z^12)/512 - 
           82130425164798872836458183156*z^13 + 
           13626354594082254614298383080817664*z^14 + 
           2601800754473073050837024803813714821120*z^15)*Cf[z]^20 + 
         ((-46623263386448307275*z^4)/191102976 - (97701687579290714675*z^5)/
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       (((1766468464620097410775*z^6)/2293235712 - 
           (6985210880997241058975*z^7)/8192 - (2880535039323524747474985*
             z^8)/32 + 165559111032385735547131094400*z^9)*Cf[z]^19 + 
         (318947111315697625*Cf[z]^17*tS0[z])/248832)*tS1[z]^3 + 
       ((-104974117696276146725*z^2)/63700992 + (446663093042824903875*z^3)/
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     S2[z]^23*(((13479983442278097764510755*z^20)/71899434014736384 - 
         (44864768734046478616338529*z^21)/64210599936 + 
         (339737080987500515619822101*z^22)/442368 - 
         (447691941260870606081218365921*z^23)/2240 - 
         (1242720705259634089791450315550104*z^24)/7 + 
         (654758860136957354399424252396532697088*z^25)/5 - 
         23659715373814048559031572470378389171339264*z^26 - 
         (12429681915842647627125007290934705175177862316032*z^27)/5 + 
         (27413109382767547464897112656889651962871338377404219392*z^28)/35 + 
         (190644555206615756571650428844216518667062593083821472612352*z^29)/
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         (8397653634543588716715480580843647069928537602418124963903963136*
           z^30)/35)*Cf[z]^22 + ((16506918076130617948235*z^14)/
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         (416938113143716971549225*z^16)/128 + (31282417683060041663897844942*
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         (716989916042459630501151394779857289216*z^19)/7 + 
         63581926981519787072055172818215809660747776*z^20 + 
         2662678325015935620670413919782966302046966251520*z^21)*Cf[z]^20*
        tS0[z] + ((-673758576520513825*z^8)/573308928 + 
         (122258507635774500265*z^9)/6144 - (133132803062548995280935*z^10)/
          8 + 1383739827888068647003008000*z^11 + 
         1065337962969014957237939073515520*z^12)*Cf[z]^18*tS0[z]^2 + 
       ((-1684092927363275*z^2)/110592 + (118277928925255125*z^3)/8)*Cf[z]^16*
        tS0[z]^3 + (((-1671976771847204074260935*z^16)/332867750068224 + 
           (27369450110191601480913301*z^17)/1337720832 - 
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           (7878587375357732625676684638426367819589346656256*z^38)/
            21896875 + 
           (623709181983735112304786592401190377695302656062390272*z^39)/
            4379375 - 
           (32232970242481752283699526562530687718056621091188209876992*z^40)/
            875875 + 
           (4697398220477871991116493364630788130729837655459652895646941184*
             z^41)/875875 - (100515545333462183204401390622490964644208423843\
712204325612272222208*z^42)/875875 - 
           (19963586211674214457078793062296867459940540785335754354883968903\
363428352*z^43)/175175 + (281429012052507263108457351345192717786578452405784\
04542412437230073991288324096*z^44)/875875 - (1029084672884090477087715144381\
9791101163625484459893257311298649566185355476992*z^45)/5 + 
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700075415127577329664*z^46)/175 - (865686918021232312407181121474493770878109\
34459495854812981752048285406180081402040549376*z^47)/35 + 
           (12572044444713107925918700189187038495516442563044545137981154043\
68740038624556839671162732544*z^48)/35)*Cf[z]^14 + 
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           (3998959015859078826008705911922197129854601544040802418688*z^34)/
            13475 + 
           (278029769398895767421892292737963708941544803485403449971965952*
             z^35)/13475 + 
           (251892518805613962875984827441904199921347088502675469582204928*
             z^36)/175 + (144254008653382474907965810157601529764287418141902\
1909580299123032064*z^37)/5 - 
           (63720698639915302853836612275057887261600627908591195379720185297\
200218112*z^38)/5 + 272197854310864079154866442887327441755246133079738176124\
495117704335737225216*z^39)*Cf[z]^12*tS0[z] + 
         ((7463306875024763767*z^20)/12039487488 - 
           (371827200880004680877*z^21)/207360 + (3199908947246413238269383*
             z^22)/1400 - (1490217242256773430738401606976*z^23)/875 + 
           (28855528046110495568280863958884352*z^24)/35 - 
           (47420105628327630408196615169246534565888*z^25)/175 + 
           (10624845962591059122592205546226217495522443264*z^26)/175 - 
           (313136316421286489764995424478425609816001105362944*z^27)/35 + 
           (28096119316510803053200902646413938795527293932874498048*z^28)/
            35 - 17454693788746927067321229320780977528836051612647269859328*
            z^29 + 
           636628105537602773032816741691147872828562227606516401319182336*
            z^30)*Cf[z]^10*tS0[z]^2 + ((-19226945239630565*z^14)/1306368 + 
           (192867344847638835*z^15)/7 - 21712617732880494967680*z^16 + 
           (64722959176968743099755069440*z^17)/7 - 
           2299352785974249309014112237256704*z^18 + 
           (2366201150860341097969770992352626737152*z^19)/7 - 
           28083306485772471830053193258993390777794560*z^20 + 
           1379649097087423219503149780525368713365044592640*z^21)*Cf[z]^8*
          tS0[z]^3 + ((5666396655775*z^8)/36 - 175005759968064000*z^9 + 
           66323760526369286553600*z^10 - 10536479295649787390459904000*
            z^11 + 602091582659249928524311560192000*z^12)*Cf[z]^6*tS0[z]^4 + 
         (-772265208000*z^2 + 144206320619520000*z^3)*Cf[z]^4*tS0[z]^5)*
        tS1[z]^8 + (((-785030002460396425736897*z^28)/432520032744898560 + 
           (3297602139131035784343263*z^29)/695280402432 - 
           (13166002014498004977097094417*z^30)/2794176000 + 
           (179465853294366697252071554301*z^31)/134750 + 
           (109199202943483668580466110399708992*z^32)/67375 - 
           (711891584045908807974563088673934144126976*z^33)/336875 + 
           (417738280830821090263081936187868235391645515776*z^34)/336875 - 
           (29867933758566764774585717957431354882669912346591232*z^35)/
            67375 + 
           (1335872105227380026962623389995041387689306788934920962048*z^36)/
            13475 - 
           (171341652532436211873605102030280049626233086757442084403150848*
             z^37)/13475 + (7430989880367939639010625089081816954457516438000\
209028567575560192*z^38)/13475 + 
           (26642104162995076835484706068492881086738281002444075495909162206\
887936*z^39)/175 - 
           (10023912970107683160680785293781609454053308221314372396949435179\
40228554752*z^40)/175 + 15929447292072801999257228592085652367336385660025252\
3349096218965328768532480*z^41 - 12383067421727881870923536099608032566134435\
56489606311298886768258942412531957760*z^42)*Cf[z]^13 + 
         ((6771214989224856907*z^22)/81266540544 - 
           (1192408514230878440857*z^23)/4354560 + 
           (823431305980116070746751*z^24)/2100 - 
           (282100073192532444603892036032*z^25)/875 + 
           (146426417106432608811084810673176576*z^26)/875 - 
           (48992273200952371102417665360997713444864*z^27)/875 + 
           (2007829349961448666616001534616393998844035072*z^28)/175 - 
           (28500747043250812299015295069064899800365575176192*z^29)/25 - 
           (176153068313958222867990936090751914768417065350987776*z^30)/5 + 
           (904543541161883897004373025005493930716045568868169279340544*
             z^31)/35 + 
           310832751140984759241689193267507311679201127657728223135924224*
            z^32 - 5166759781941620047792186519700742076894389073839922670829\
393936384*z^33)*Cf[z]^11*tS0[z] + ((-601632574761347603*z^16)/501645312 + 
           (136542420299514253*z^17)/48 - (98777868997389837828984*z^18)/35 + 
           (7885064337769641337555746816*z^19)/5 - 
           (19676274664155003518325354297556992*z^20)/35 + 
           (942675345058705711810147374233926238208*z^21)/7 - 
           (742677889992627183651128037703614515304726528*z^22)/35 + 
           2021962672983051448197580533375247800508920889344*z^23 + 
           16455397890519646125667369999446681918687240089763840*z^24)*
          Cf[z]^9*tS0[z]^2 + ((117865167025735*z^10)/3888 - 
           37765781638139984*z^11 + 17338233549509558046720*z^12 - 
           3687591590673557035029626880*z^13 + 
           348026592599514857486965612216320*z^14 - 
           7320529652141117028428396033180958720*z^15)*Cf[z]^7*tS0[z]^3 + 
         (-194738421500*z^4 + 70431147371520000*z^5 - 6151275862875832320000*
            z^6)*Cf[z]^5*tS0[z]^4)*tS1[z]^9 + 
       (((48589607233129627537871*z^24)/4805778141609984 - 
           (6196302704297861969546647*z^25)/241416806400 + 
           (45132783749475287285571441*z^26)/1724800 - 
           (768818407556850888939524250786*z^27)/67375 - 
           (403263916012112375671903541663726976*z^28)/336875 + 
           (40315167424451268761142347366078902173696*z^29)/9625 - 
           (161512131130015368443459698929274702814748082176*z^30)/67375 + 
           (9802612467267152668156507593964517272696725914517504*z^31)/
            13475 - 
           (336115387487970208230435949090112270947737283147277008896*z^32)/
            2695 + 
           (341049526433393424086163725232301329409138995496979087228928*
             z^33)/35 + (2604532076615145100510973418010772185017507130784742\
4217022726144*z^34)/35 - 
           (60436781688643084333480413957916366493051872588054469803621025316\
864*z^35)/5 + 
           185338254441627008373133227612132210334551236854953622109909024105\
299968*z^36)*Cf[z]^12 + ((-469030165492672355*z^18)/4514807808 + 
           (532804664854428007943*z^19)/1451520 - (180483578207958018790659*
             z^20)/350 + (68756081223577795238993353344*z^21)/175 - 
           (31284808548806270133916785684283392*z^22)/175 + 
           (8434710099663808848832799544603882553344*z^23)/175 - 
           (45973347064700563308724026600468468291600384*z^24)/7 + 
           (133012487747978458475905792034706124440122425344*z^25)/7 + 
           144904116929279473965610064460238029522789789861937152*z^26 + 
           332587260785611476760350779295798459621871552651497308160*z^27)*
          Cf[z]^10*tS0[z] + ((4092751840753*z^12)/27216 + 
           (985886839098442*z^13)/35 - (1832759815789302467328*z^14)/7 + 
           (945617765842927449294372864*z^15)/7 - 
           (19342633182006523454945960656896*z^16)/7 - 
           12621155438119163292851753891502489600*z^17 + 
           3604413991632807051808864497560871543767040*z^18)*Cf[z]^8*
          tS0[z]^2 + ((-106720859360*z^6)/9 + 4145016886502400*z^7 - 
           190407271530509107200*z^8 - 31346845238489304268800000*z^9)*
          Cf[z]^6*tS0[z]^3 - 26661600000*Cf[z]^4*tS0[z]^4)*tS1[z]^10 + 
       (((-5301914075016091445*z^20)/144473849856 + 
           (1567856613726967099451*z^21)/17418240 - 
           (509697893976664104236877*z^22)/5600 + 
           (7886782734911019061553364624*z^23)/175 - 
           (1256263009610820236136763884619776*z^24)/175 - 
           (682021941361544479079226186949988450304*z^25)/175 + 
           (90179714733797290016499044411097838251933696*z^26)/35 - 
           (22744790724924104732400377004219896650893757513728*z^27)/35 + 
           (2499001870994017287546512388898687648540682770528075776*z^28)/
            35 + 2986966173726157828264096540928175623250430476861302636544*
            z^29 - 
           14014209870770015459520070639305961297164719194312203055398912*
            z^30)*Cf[z]^11 + ((-165389959935451*z^14)/1306368 + 
           (2322854575172133*z^15)/280 + (1765426202021334016800*z^16)/7 - 
           (1375881559296271201988591616*z^17)/5 + 
           (4608149719802703165232411412791296*z^18)/35 - 
           (1104307264054750085730918888598734372864*z^19)/35 + 
           2982341659198244613282869223574584472633344*z^20 + 
           312381215886532195057271291776381756264125825024*z^21)*Cf[z]^9*
          tS0[z] + ((288426422725*z^8)/108 - 3416233411783440*z^9 + 
           1657539139390444523520*z^10 - 396127825832810218751262720*z^11 + 
           46226461710973319595466225090560*z^12)*Cf[z]^7*tS0[z]^2 + 
         ((-41387632000*z^2)/3 + 2562661048320000*z^3)*Cf[z]^5*tS0[z]^3)*
        tS1[z]^11 + (((492212708450545*z^16)/5971968 - 
           (11937542273750728049*z^17)/60480 + (34011358956552932147628*z^18)/
            175 - (678802296379458583663073280*z^19)/7 + 
           (766972863573912574768044977946624*z^20)/35 + 
           824969336583072126113944542583455744*z^21 - 
           (56386225072850654045472184230570366049714176*z^22)/35 + 
           310960222452789535568881642176745468596087422976*z^23 + 
           6146445567941467847761595594210517377528111887810560*z^24)*
          Cf[z]^10 + ((9274962629003*z^10)/15552 - 678919118700960*z^11 + 
           194220299592478273536*z^12 + 61564365752526049207910400*z^13 - 
           49557801475546849846147657236480*z^14 + 
           10629290323936043532748102419590676480*z^15)*Cf[z]^8*tS0[z] + 
         (-2125948050*z^4 + 765432426240000*z^5 - 66693325284900864000*z^6)*
          Cf[z]^6*tS0[z]^2)*tS1[z]^12 + 
       (((-161715768354001*z^12)/1741824 + (8150621746268921*z^13)/35 - 
           (1582165364472609686496*z^14)/7 + (752041500469450157291323392*
             z^15)/7 - (166840786103572848454453325463552*z^16)/7 + 
           708800618432720844527404135143702528*z^17 + 
           625634065335965186487882203818864970563584*z^18)*Cf[z]^9 + 
         ((-30565227955*z^6)/54 + 643394468851200*z^7 - 284173774603680153600*
            z^8 + 51613352035300424024064000*z^9)*Cf[z]^7*tS0[z] - 
         205440000*Cf[z]^5*tS0[z]^2)*tS1[z]^13 + 
       (((225823739*z^8)/432 - 73661956366440*z^9 + 96736949608032921600*
            z^10 - 47368988553850777805783040*z^11 + 
           9280904269022494508894304337920*z^12)*Cf[z]^8 + 
         ((-159269000*z^2)/3 + 9810823680000*z^3)*Cf[z]^6*tS0[z])*tS1[z]^14 + 
       ((463810775*z^4)/6 - 71872557120000*z^5 + 19182175320607948800*z^6)*
        Cf[z]^7*tS1[z]^15 - 200000*Cf[z]^6*tS1[z]^16)
 
Ff[13] = 133890133112370832881296808035969167499188870594761481/
      168507153551193292110478505095510330038823157760000 + 
     (537446510933364981247366841012353840995803389263563*z)/
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      1116506504836685499126426056062402560000 - 
     (573111236079384347632889914698555099276801090247*z^3)/
      211343695759296294441886679040000 - 
     (2198717845621746189464071779370214559413130260213*z^4)/
      1532148000151236702474240000 + 
     (8149288145157680460775311170655134908894361*z^5)/30310300165345200 - 
     (350339754909326130242233726911945208407706144*z^6)/1856156927625 + 
     (2461352581225140090086597751957702204016689152*z^7)/11036025 - 
     (449356207512740589307106565566594999363177545728*z^8)/3185 + 
     (51114164361816452745145412455500166558041376834398978048*z^9)/875875 - 
     (13506687132000877486027075994445622114625696075843735509794816*z^10)/
      875875 + 
     (2058148797467327333513596560288927142914825858301137719545332498432*
       z^11)/875875 - (275088629081976148136762818254319814792150090354880679\
10485684216922112*z^12)/175175 + 
     ((-2732451698555606539157013995945264202125806812573613*z^72)/
        3438921501044761063479153165214496531404554240000 + 
       (1914581755858597563751273916360808897280848837143835253*z^73)/
        541753965892468145931322354345133519929344000 - 
       (27314608002132266667293421998841667834112267559996179393*z^74)/
        3628646140719227872160884682202808320000 + 
       (17275499646595792452447273083206531304225160949016618897*z^75)/
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       (1378289578284253553188382188559580014344810331310664956877*z^76)/
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       (2137980974220049598760655260250245591362956783375587789404*z^78)/
        498566844354954375 + 
       (1390853152416164160072307457057548417756369747184400420246368*z^79)/
        683905136289375 - 
       (181467374051243371405846888234753289893498543400036481974485106688*
         z^80)/227968378763125 + (5933525527628325129312987783399571432693021\
3346282693785846230395387904*z^81)/227968378763125 - 
       (233445961234809799461574224088995672405497744865993481155376702734967\
0330368*z^82)/32566911251875 + (381066824075032862821725207091174013005065932\
4539096012555719296527093630578458624*z^83)/227968378763125 - 
       (754508489370350516004876031911073675947325153804292797081113063083275\
078789898277224448*z^84)/227968378763125 + (253814587980792728747003200402149\
27327015093775406476635920289531558805417743988712861073408*z^85)/
        45593675752625 - (819056148538540996969963267668455185063700489211488\
94144596395630372796480172139673989505089536*z^86)/1031531125625 + 
       (218027196906026672187693778206543637432034149171627785003544925372070\
1109304131235797722075126057402368*z^87)/227968378763125 - 
       (220223328241627494586949910261156468296783076181714221161626313507882\
455366853486820631455267202140519530496*z^88)/227968378763125 + 
       (369154026218165664315516783123162522686395181444175949476895547936354\
7543794813228552111190162102503710037901312*z^89)/45593675752625 - 
       (126405465290771712868602784144119086108385020512122777686676896605138\
0093945150494829637891769125938127397318297649152*z^90)/227968378763125 + 
       (691522977350788597213869331335886565990366102823809192819832634181062\
36769278789956391073576856476608046216436587931107328*z^91)/227968378763125 - 
       (833527657077075771506021669608768578659374629417501135500347288428654\
94461192028888267874800924803764840601269426400874463232*z^92)/
        6513382250375 + (8972799506354404484392910267043718719358393702452445\
77179417989274554926649622534910135326598977921815366269928153705778473787719\
68*z^93)/227968378763125 - (1804652380501558775317472077793051188941076054578\
78518310963242612995946328182796643320179054258885628714919853575682926914189\
8020257792*z^94)/227968378763125 + (18372344301270720587246703264652661731171\
46617365050988295097601342432945148515043650224114420282261159984301788128636\
1064947008878353055744*z^95)/227968378763125)*Cf[z]^24 + 
     ((-24636114352392125*z^2)/16777216 + (67104200267553202875*z^3)/32768)*
      Cf[z]^24*S2[z]^35 + (19739117098375*Cf[z]^24*S2[z]^36)/24576 + 
     (21215970595333886851858060090362770278358144457151/
        1393081626580632375251971768316057622675456000 + 
       (32377150197658822429899941498736895644862980476153*z)/
        41802003541085505087293391538976351846400 + 
       (139518926303778882844475234642977471228734922469*z^2)/
        8749629004434866589894108512256000 + 
       (169618710754134761033563330096990485112870487341*z^3)/
        468837288046278430957117440000 + 
       (26278400731109537471828248080468667705342337*z^4)/
        436468322380970880000 - (7428535601594390104567937408012324178424766*
         z^5)/83527061743125 + (2773941653466477945992580496641027320705024*
         z^6)/23648625 - (2527627611971351904443291555905986776442913947648*
         z^7)/30655625 + 
       (32884882656580621987486534999729531056171180544229376*z^8)/875875 - 
       (9505506573564829945208676860696382577952771967022585085952*z^9)/
        875875 + 
       (121036849765164919350804430646478356745467058253047770577371136*z^10)/
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6889664937984*z^35 + 
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         (549015985165129062525*z^5)/8192 + (2410749810788467822301025*z^6)/
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         (26633213045575483574425*z^11)/1572864 + 
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          tS0[z]^2 + ((133672020025*z^8)/162 - 22119932384494560*z^9 + 
           35810582351955449241600*z^10 - 16820168379477787554946744320*
            z^11 + 3006901618397004409985279207669760*z^12)*Cf[z]^7*
          tS0[z]^3 + (652976368000*z^2 - 122480913162240000*z^3)*Cf[z]^5*
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       (((-356843162709681011047*z^22)/2600529297408 - 
           (52521467308549619769029*z^23)/83607552 + 
           (5426764390436712047797223*z^24)/2400 - 
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           (4392033847716199460699861671942972157426224683024384*z^29)/175 - 
           (42142252213538904761253567192396224335746264089782910976*z^30)/
            35 + 
           (24565386308570345815968092920815584521755023671927278453915648*
             z^31)/35 + 
           1325023760557440905303253212548751819215303672230764881612111872*
            z^32 + 5316745824268678770056618369698574085778951416593643087125\
2064796672*z^33)*Cf[z]^12 + ((226674976853184449*z^16)/10450944 - 
           (1570520639848565599493*z^17)/30240 + (8997727948456828883261976*
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           33285368557815040*z^11 + 452272410651386105856*z^12 + 
           13055780994219224066264924160*z^13 - 
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           1372648937371795719326481732126690508800*z^15)*Cf[z]^8*tS0[z]^2 + 
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          Cf[z]^11 + ((-60089652055586743*z^12)/2612736 + 
           (5989922686348809206*z^13)/105 - (386160262419747554345664*z^14)/
            7 + (184140176365269747866397671424*z^15)/7 - 
           (41460832888857781066148662153838592*z^16)/7 + 
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           35288518758568589721600*z^8 + 6570546317395936646529024000*z^9)*
          Cf[z]^7*tS0[z]^2 + 11853440000*Cf[z]^5*tS0[z]^3)*tS1[z]^13 + 
       (((-689128259723942237*z^14)/125411328 + (4449085873000008479*z^15)/
            504 - (147094067806861903482312*z^16)/35 - 
           (3525239748628337128009961472*z^17)/5 + 
           (49810685313603639664485006058192896*z^18)/35 - 
           (18704108576533361016489443513696400703488*z^19)/35 + 
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         ((-1139164731703*z^8)/648 - 15195523121324880*z^9 + 
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            z^11 + 2214778540884434815812404741406720*z^12)*Cf[z]^8*tS0[z] + 
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         ((178962926825*z^4)/9 - 17818590211200000*z^5 + 
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          Cf[z]^8 + 32400000*Cf[z]^6*tS0[z])*tS1[z]^16 + 
       ((-4966441700*z^2)/3 + 843969155328000*z^3)*Cf[z]^7*tS1[z]^17)
 
Ff[14] = 2435517609156195816789685457142915214631882743483096106802713/
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58071178070522029146112*z^99)/826385373016328125 - 
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Ff[15] = 126490881789703297105289715354221676830599583899761227125775779627/
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62978560*z^36)*Cf[z]^13 + ((263015632580669030791*z^18)/107495424 - 
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     (((3419601435832837331*z^16)/10450944 - (41066779573131466571149*z^17)/
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           (722478079548513355141630925*z^9)/262144 - 
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           (812674538044206576692793239878245*z^11)/2 + 
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         (26146518321029843765819057511994694282669529046492966536905490432*
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           282550742358065864202175615681272630212139417600*z^20 + 
           13919217122945459895991560017597003980498831021178880*z^21)*
          Cf[z]^11 + ((-53429443941671795*z^8)/432 + 105719550451645710720*
            z^9 + 13906325848127841397555200*z^10 - 
           38183673374134307723792351232000*z^11 + 
           10819243964608901933222719032341299200*z^12)*Cf[z]^9*tS0[z] + 
         (-103288532512000*z^2 + 52596568317911040000*z^3)*Cf[z]^7*tS0[z]^2)*
        tS1[z]^17 + (((377398199344535179*z^10)/20736 - 43352271275759393935*
            z^11 + 34672647696267338020719360*z^12 - 
           10339445260185614459617373061120*z^13 - 
           119579295858559389076675729230397440*z^14 + 
           489661219515529864516238547565784806195200*z^15)*Cf[z]^10 + 
         ((869736158780000*z^4)/9 - 108552428871413760000*z^5 + 
           32894448067785769353216000*z^6)*Cf[z]^8*tS0[z])*tS1[z]^18 + 
       (((-98680730823875*z^6)/216 + 13593669414603631200*z^7 - 
           13459622633248824658944000*z^8 + 3701219665814489660167028736000*
            z^9)*Cf[z]^9 + 7061754320000*Cf[z]^7*tS0[z])*tS1[z]^19 + 
       ((-23327278502000*z^2)/3 + 4322615288242176000*z^3)*Cf[z]^8*tS1[z]^20)
 
Ff[16] = 
    3129807655105591236363693644781977926047021115299864502211860392430967569/
      1284675400016099599269485089899724119239240441017659461468160000000 + 
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9*z)/2372250659521129364484118294106275412755799062763431526400000 + 
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3*z^2)/317784778420933181756381587323478680763969138851840000000 + 
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       z^3)/51241897446997450642896955752649500068413440000000 + 
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671213825130496*z^11)/28663009375 - 
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26016*z^12)/521145625 + (3826171568836977678925284811306315965692181734622076\
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1919*z^90)/
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(574791878667860965354960201362528071338160111479980441665467201707978678607*
         z^91)/
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652206791*z^92)/20656010597360656814164803176026114249657994025369600000000 + 
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38606893553*z^95)/635585473194932783283214682113966080000000 - 
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91783516239*z^97)/289666602679833601382160000000 - 
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933046437947*z^98)/19556965844510370463687500 + 
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31127305818368*z^99)/1156341105228606171875 - 
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484519307058851479552*z^100)/33533892051629578984375 + 
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236171164829259929747456*z^101)/216347690655674703125 - 
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424624093703720718149732528396955627899838267392*z^105)/
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70053219302142894075248667894423399499219040866962665572810640604821040836640\
768*z^106)/33533892051629578984375 + (330624331917056540925562843277385446546\
76473462949484265367916305861869316866192998008914017638106134897730761913533\
88098650112*z^107)/33533892051629578984375 - (4353295701137794898347826743285\
92860082759714956052785477411431658614606064431460612329995509308528933562156\
327460147585045680357376*z^108)/33533892051629578984375 + 
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2337431393621975986226608331881250808834405254820380716000396443648*z^109)/
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81103275724665312944841754808952057619368051769450010197495470305991144609464\
585719014276202496*z^110)/63631673722257265625 + 
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25031158172846796010912282821937252143442533784190267504368115789583168516915\
2*z^111)/33533892051629578984375 - (62232260325829453474551147166236623345234\
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500825788779087538418729900572672*z^112)/6706778410325915796875 + 
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14049767399474587349886575821322258008858455408477220572301631182218457392394\
17857200928845621585235713443538419397635170369536*z^114)/
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82838590876739146321356304567973865967297027653166840377899596340862170245517\
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27377439371825325801472*z^116)/491699296944715234375 + 
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2839876847272966864897048576*z^117)/8824708434639362890625 - 
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97943836769311370135598576832729074582995905678202381211050270188919285789925\
3627807971490021614011176301101056*z^118)/167669460258147894921875 + 
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84927355090797964849937290884823186664177427936482659141176357623949721112076\
23769617541743134757087462562325331968*z^119)/167669460258147894921875)*
      Cf[z]^30 + ((-357148864120159375*z^2)/32768 + 
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     (38362676768845045751875*Cf[z]^30*S2[z]^45)/6442450944 + 
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661*z)/133850948670897056155787924580649220337783801284395008000000 + 
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33*z^2)/1434445180372267834317000220557369045115138473984000000 + 
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       (35314359504844690383265319672470873204650665272909942040297472*z^9)/
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32845259395989174747136*z^11)/4379375 + 
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26040064*z^12)/30655625 - (28468864055038762217421241974157640885719699432465\
128014482395763458261834006528*z^13)/336875 + 
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81233*z^84)/
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6659*z^85)/57392568678028066270383296707250330305198439792640000000 - 
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537242308608*z^29)/7 + 
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5872*z^30)/35)*Cf[z]^30 + ((1054957914966987491193185636875*z^14)/
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Ff[17] = 82917078914540515213835307039515773678400955187660100002761394407298\
88458650827/
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0 + (649009054812455332659020544207464257671846368657534582982108676991624129\
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499569803264*z^27)/7)*Cf[z]^32 + ((-98799487281450541952997940694375*z^12)/
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3677109796864*z^29)/7 + 
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           (32126363466308849631180904422071979658958738596991701352448*z^23)/
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           (1317787491302936264245343921885445870506185836962401778619383808*
             z^24)/7)*Cf[z]^31 + ((-1556091366501782756629239801875*z^10)/
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           (6040364796313589441391494075393175*z^12)/16384 - 
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           637991312921998383005365442814708723834750*z^14 + 
           146483616585528172763010517593895853528507904000*z^15)*Cf[z]^29*
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           (1168154134496608040863240753125*z^5)/262144 + 
           (3098872987723659159093812741431875*z^6)/512)*Cf[z]^27*tS0[z]^2)*
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            1056964608 + (2887677619984927046141415473244329925*z^14)/
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           (48434787510702795077727151788562466508541275*z^16)/28 + 
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           (108050345747504709049042297741875*z^7)/2097152 - 
           (5228186120325635785035718003000875*z^8)/8192 + 
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32*z^29 + 
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1613201855217664*z^31)/35 + 
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567296*z^32 + 
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       ((-96291550990162000*z^2)/3 + 19400433565038935040000*z^3)*Cf[z]^9*
        tS1[z]^23)
 
Ff[18] = 22319788402944767709286288967889460597146406293834310598695370627248\
11419130730380189539/24846924108684609060984210848902654009489143294812512812\
48947204354211840000000 + (39050255211646326735186888912278426722944027901421\
69112275805574509400749823569378358031*z)/
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0000 + (193990947415792779296296373323445814192476529818344631071932035205482\
034286616944320709*z^2)/
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25904749688059*z^3)/
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52173524409247*z^4)/
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478829687*z^5)/8208378168511538236122914038372011387912192000000 + 
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417*z^6)/179236378010770232585298258032640000000 + 
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928976269312*z^24)/7)*Cf[z]^33 + ((-657421594562265677711796322422125*z^10)/
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           (15887871584036732451587790774623418114975*z^13)/128 + 
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           (19761027419262546136708147322625*z^5)/131072 + 
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           2425605549804075245901745108226828967893419817974824960*z^18)*
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           (16073581249563266560376206265795875*z^7)/8388608 - 
           (198169173184746838603198515206061375*z^8)/32768 + 
           (6632163843451320799014121860517746147375*z^9)/16)*Cf[z]^30*
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         tS1[z]^5)/130459631616) + S2[z]^40*
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         (12001621071179597739745585465666141039087006424444491036901769216*
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095322594312192*z^31)/7 + 
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29249792*z^32)/7 + (658753362920231067275986616420139571404209511306313297604\
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       ((812936910361709699587838518236378325*z^16)/3067709184628752384 + 
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         (602023492402857802918812317369314552070304555041044203307008*z^23)/
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         (25835705960296861442283569034552974852182523132996581764951441408*
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       ((-159375880756990819378235766608375*z^10)/4696546738176 + 
         (9092622831901478159077630379066875*z^11)/150994944 + 
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Ff[20] = 52754404600843776900728569730668129725623720263601223133883497450421\
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           (1220054694994455509757190060558935120990848476847800320*z^19)/7 + 
           52431601216909440572262523562101541244965398480531174195200*z^20 + 
           2206417919208977949871775255000859812997555758374632182041804800*
            z^21)*Cf[z]^14 + ((-2485025093838459989912748250*z^8)/81 + 
           57495072731309300392336266489600*z^9 - 
           26070481556440367717285223010512076800*z^10 - 
           1790810172086214243429167488243253379072000*z^11 + 
           2319199651970059970437116935926498061960871936000*z^12)*Cf[z]^12*
          tS0[z] + (-65724580248008954587040000*z^2 + 
           43106287577416304420310220800000*z^3)*Cf[z]^10*tS0[z]^2)*
        tS1[z]^26 + (((-5677942410543971993764831375*z^10)/3888 - 
           1027482990261836088180872748400*z^11 + 
           3528882862848426594295188318620160000*z^12 - 
           1889302743887427167346811873090002065817600*z^13 + 
           178263656050115922245265272289787439818054041600*z^14 + 
           56257339753245264761770886383568516874262649241600000*z^15)*
          Cf[z]^13 + ((55355373695509025489938000*z^4)/9 - 
           17848552844163705753846067200000*z^5 + 
           7730051612980520034773096115732480000*z^6)*Cf[z]^11*tS0[z])*
        tS1[z]^27 + (((45970854928402922662748875*z^6)/27 - 
           764372932409211950413999584000*z^7 - 
           786782085023355304820203399421952000*z^8 + 
           384792183018911926273865019652980080640000*z^9)*Cf[z]^12 + 
         2794224890457147600000000*Cf[z]^10*tS0[z])*tS1[z]^28 + 
       (-717625993305407327240000*z^2 + 504869499840016435998412800000*z^3)*
        Cf[z]^11*tS1[z]^29)
