Ff[2] = ((-461*z^6)/207360 + (22387*z^7)/5760 - (1015183*z^8)/480 + 
       (3677571*z^9)/10)*Cf[z]^2 + ((-5*z^2)/48 + 51*z^3)*Cf[z]^2*S2[z]^2 + 
     (5*Cf[z]^2*S2[z]^3)/24 + 42*tS0[z] + ((5*z^2)/4 - 558*z^3)*Cf[z]*
      tS1[z] + S2[z]*(((23*z^4)/864 - (1145*z^5)/48 + (10791*z^6)/2)*
        Cf[z]^2 - 3*Cf[z]*tS1[z])
 
Ff[3] = -18297929/940584960 + (2101373447*z)/52254720 - 
     (113656843*z^2)/6048 + ((-136523*z^12)/6501323243520 + 
       (33337321*z^13)/1083553873920 - (19076893*z^14)/1254113280 + 
       (14801641*z^15)/5806080)*Cf[z]^4 + ((-25*z^2)/192 + (615*z^3)/8)*
      Cf[z]^4*S2[z]^5 + (5*Cf[z]^4*S2[z]^6)/16 + 
     ((5071*z^6)/103680 - (246257*z^7)/2880 + (11167013*z^8)/240 - 
       (40453281*z^9)/5)*Cf[z]^2*tS0[z] - 462*tS0[z]^2 + 
     (8575/12 + ((9403*z^8)/8957952 - (1778701*z^9)/622080 + 
         (14595613*z^10)/5760 - (74139211*z^11)/80 + 121359843*z^12)*
        Cf[z]^3 + ((-55*z^2)/2 + 12276*z^3)*Cf[z]*tS0[z])*tS1[z] + 
     ((-215*z^4)/864 + (2645*z^5)/12 - 47772*z^6)*Cf[z]^2*tS1[z]^2 - 
     20*Cf[z]*tS1[z]^3 + S2[z]^4*(((6335*z^4)/248832 - (4045*z^5)/144 + 
         (32055*z^6)/4)*Cf[z]^4 - (55*Cf[z]^3*tS1[z])/24) + 
     S2[z]^3*(((-7645*z^6)/2985984 + (167411*z^7)/41472 - (69687*z^8)/32 + 
         (810531*z^9)/2)*Cf[z]^4 - (55*Cf[z]^2*tS0[z])/12 + 
       ((185*z^2)/288 - (1513*z^3)/4)*Cf[z]^3*tS1[z]) + 
     S2[z]^2*(((6137*z^8)/107495424 - (256801*z^9)/2488320 + 
         (447673*z^10)/5760 - (2327349*z^11)/80 + (22610421*z^12)/5)*
        Cf[z]^4 + ((55*z^2)/24 - 1122*z^3)*Cf[z]^2*tS0[z] + 
       ((-497*z^4)/10368 + (2755*z^5)/48 - (35433*z^6)/2)*Cf[z]^3*tS1[z] + 
       8*Cf[z]^2*tS1[z]^2) + 
     S2[z]*(((22559*z^10)/1612431360 - (7432037*z^11)/179159040 + 
         (226814039*z^12)/4976640 - (91592837*z^13)/3840 + 
         (482074659*z^14)/80 - (2955477213*z^15)/5)*Cf[z]^4 + 
       ((-253*z^4)/432 + (12595*z^5)/24 - 118701*z^6)*Cf[z]^2*tS0[z] + 
       (((-4883*z^6)/622080 + (187271*z^7)/17280 - (2327023*z^8)/480 + 
           (6883281*z^9)/10)*Cf[z]^3 + 66*Cf[z]*tS0[z])*tS1[z] + 
       ((-5*z^2)/12 + 366*z^3)*Cf[z]^2*tS1[z]^2)
 
Ff[4] = -11770961913689/7021429103001600 + (387000138167*z)/66886041600 - 
     (428126851645*z^2)/71663616 + (4788832497749*z^3)/2488320 + 
     ((-184654967143*z^18)/20965874958697129574400 + (398157915863*z^19)/
        16177372653315686400 - (516326370001*z^20)/18723810941337600 + 
       (2020045033613*z^21)/130026464870400 - (886338799921*z^22)/
        200658124800 + (236629175659*z^23)/464486400)*Cf[z]^6 + 
     ((-25*z^2)/64 + (8535*z^3)/32)*Cf[z]^6*S2[z]^8 + 
     (1105*Cf[z]^6*S2[z]^9)/1152 + (18297929/26127360 - 
       (2101373447*z)/1451520 + (113656843*z^2)/168 + 
       ((18534379*z^12)/902961561600 - (10569656861*z^13)/150493593600 + 
         (715504529*z^14)/7257600 - (87566849759*z^15)/1209600 + 
         (337846955861*z^16)/11520 - (1244469186831*z^17)/200 + 
         (13524528460041*z^18)/25)*Cf[z]^4)*tS0[z] + 
     ((-21667*z^6)/17280 + (1052189*z^7)/480 - (47713601*z^8)/40 + 
       (1037075022*z^9)/5)*Cf[z]^2*tS0[z]^2 + 7896*tS0[z]^3 + 
     (-2101373447/26127360 + (113656843*z)/1512 + 
       ((52466941*z^14)/58511909191680 - (120853539823*z^15)/32506616217600 + 
         (952267307339*z^16)/150493593600 - (12104292974761*z^17)/
          2090188800 + (29991546481417*z^18)/9676800 - (4366746032983*z^19)/
          4480 + (46864694674017*z^20)/280 - (2124132100442766*z^21)/175)*
        Cf[z]^5 + (-25725 + ((-14935*z^8)/248832 + (2621803*z^9)/17280 - 
           (62266633*z^10)/480 + (929628357*z^11)/20 - (30053110212*z^12)/5)*
          Cf[z]^3)*tS0[z] + (705*z^2 - 314712*z^3)*Cf[z]*tS0[z]^2)*tS1[z] + 
     (((-214781*z^10)/537477120 + (35923429*z^11)/29859840 - 
         (221407387*z^12)/165888 + (8108349823*z^13)/11520 - 
         (28676179701*z^14)/160 + (177894548757*z^15)/10)*Cf[z]^4 + 
       ((365*z^4)/24 - 13515*z^5 + 2965248*z^6)*Cf[z]^2*tS0[z])*tS1[z]^2 + 
     (((409*z^6)/77760 + (8971*z^7)/1080 - (332713*z^8)/30 + 
         (14019768*z^9)/5)*Cf[z]^3 + 720*Cf[z]*tS0[z])*tS1[z]^3 + 
     ((125*z^2)/6 - 9120*z^3)*Cf[z]^2*tS1[z]^4 + 
     S2[z]^7*(((72175*z^4)/995328 - (219845*z^5)/2304 + (519951*z^6)/16)*
        Cf[z]^6 - (275*Cf[z]^5*tS1[z])/96) + 
     S2[z]^6*(((-41525*z^6)/5971968 + (142675*z^7)/10368 - (222871*z^8)/24 + 
         (8617419*z^9)/4)*Cf[z]^6 - (1595*Cf[z]^4*tS0[z])/144 + 
       ((325*z^2)/576 - (1905*z^3)/4)*Cf[z]^5*tS1[z]) + 
     S2[z]^5*(((1521605*z^8)/10319560704 - (6629501*z^9)/11943936 + 
         (38481511*z^10)/55296 - (23634827*z^11)/64 + (2903874489*z^12)/40)*
        Cf[z]^6 + ((325*z^2)/72 - (5365*z^3)/2)*Cf[z]^4*tS0[z] + 
       ((24635*z^4)/497664 - (7175*z^5)/1152 - (30837*z^6)/2)*Cf[z]^5*
        tS1[z] + (245*Cf[z]^4*tS1[z]^2)/96) + 
     S2[z]^4*(((3023297*z^10)/61917364224 - (48302075*z^11)/429981696 + 
         (1942048433*z^12)/19906560 - (1729242959*z^13)/46080 + 
         (1605519141*z^14)/320 + (4056212781*z^15)/20)*Cf[z]^6 + 
       ((-17185*z^4)/20736 + (133775*z^5)/144 - (538197*z^6)/2)*Cf[z]^4*
        tS0[z] + (((-100693*z^6)/2985984 + (1932449*z^7)/41472 - 
           (7808951*z^8)/384 + (20793771*z^9)/8)*Cf[z]^5 + 
         (155*Cf[z]^3*tS0[z])/2)*tS1[z] + ((1385*z^2)/576 - 851*z^3)*Cf[z]^4*
        tS1[z]^2) + S2[z]^3*(((-20711015*z^12)/3343537668096 + 
         (1421962061*z^13)/77396705280 - (1012898303*z^14)/44789760 + 
         (4886741683*z^15)/331776 - (10204399027*z^16)/1920 + 
         (79403482521*z^17)/80 - (361362056922*z^18)/5)*Cf[z]^6 + 
       ((16493*z^6)/248832 - (186805*z^7)/1728 + (17465525*z^8)/288 - 
         (23550531*z^9)/2)*Cf[z]^4*tS0[z] + (235*Cf[z]^2*tS0[z]^2)/2 + 
       (((142717*z^8)/26873856 - (78113303*z^9)/7464960 + 
           (88627249*z^10)/11520 - (397505033*z^11)/160 + 292881339*z^12)*
          Cf[z]^5 + ((-445*z^2)/24 + 11463*z^3)*Cf[z]^3*tS0[z])*tS1[z] + 
       ((-9851*z^4)/10368 + (65165*z^5)/72 - (415317*z^6)/2)*Cf[z]^4*
        tS1[z]^2 + (28*Cf[z]^3*tS1[z]^3)/3) + 
     S2[z]^2*(((33273913*z^14)/133741506723840 - (41038579367*z^15)/
          52010585948160 + (1564123951727*z^16)/1444738498560 - 
         (310260719213*z^17)/371589120 + (378491017957*z^18)/967680 - 
         (497307253271*z^19)/4480 + (3925209318543*z^20)/224 - 
         (81249785630091*z^21)/70)*Cf[z]^6 + 
       ((7859*z^8)/2985984 - (228539*z^9)/41472 + (5724557*z^10)/1440 - 
         1151704*z^11 + (518477733*z^12)/5)*Cf[z]^4*tS0[z] + 
       ((-235*z^2)/4 + 28764*z^3)*Cf[z]^2*tS0[z]^2 + 
       (((-703663*z^10)/2149908480 + (95572927*z^11)/119439360 - 
           (7879694521*z^12)/9953280 + (227555843*z^13)/576 - 
           (1979930271*z^14)/20 + (98851642893*z^15)/10)*Cf[z]^5 + 
         ((13*z^4)/288 - (2075*z^5)/4 + 280638*z^6)*Cf[z]^3*tS0[z])*tS1[z] + 
       (((52339*z^6)/414720 - (483099*z^7)/2560 + (179782169*z^8)/1920 - 
           (612043173*z^9)/40)*Cf[z]^4 - 252*Cf[z]^2*tS0[z])*tS1[z]^2 + 
       ((-35*z^2)/3 + 5208*z^3)*Cf[z]^3*tS1[z]^3) + 
     S2[z]*(-688662869/48384 + ((2457254069*z^16)/404434316332892160 - 
         (1535495491*z^17)/39007939461120 + (531961161493*z^18)/
          5417769369600 - (914459392541*z^19)/7166361600 + 
         (45057290167531*z^20)/464486400 - (2415998951423*z^21)/53760 + 
         (140398105404969*z^22)/11200 - (48518555206806*z^23)/25 + 
         (22491076814609094*z^24)/175)*Cf[z]^6 + 
       ((-8753*z^10)/8957952 + (2732525*z^11)/995328 - (1214630377*z^12)/
          414720 + (135753283*z^13)/90 - (15136169643*z^14)/40 + 
         37153303398*z^15)*Cf[z]^4*tS0[z] + ((1081*z^4)/72 - (53815*z^5)/4 + 
         3043062*z^6)*Cf[z]^2*tS0[z]^2 + 
       (((-16471139*z^12)/4875992432640 + (383611*z^13)/20901888 - 
           (1573294033*z^14)/52254720 + (67035884267*z^15)/2903040 - 
           (41377048299*z^16)/4480 + (261892859337*z^17)/140 - 
           (5317519952394*z^18)/35)*Cf[z]^5 + 
         ((2081*z^6)/3456 - (80717*z^7)/96 + (3085807*z^8)/8 - 57691494*z^9)*
          Cf[z]^3*tS0[z] - 1692*Cf[z]*tS0[z]^2)*tS1[z] + 
       (((-12359*z^8)/4478976 + (12503*z^9)/2160 - (2691493*z^10)/576 + 
           (33924331*z^11)/20 - (2303042031*z^12)/10)*Cf[z]^4 + 
         (-15*z^2 + 216*z^3)*Cf[z]^2*tS0[z])*tS1[z]^2 + 
       ((4195*z^4)/2592 - 1595*z^5 + 386424*z^6)*Cf[z]^3*tS1[z]^3 - 
       35*Cf[z]^2*tS1[z]^4)
 
Ff[5] = -26509532739780373/160155989267825295360 + (1523282934268199149*z)/
      1853657283192422400 - (169994554627161763*z^2)/122596381163520 + 
     (9533199401004841633*z^3)/9932577177600 - (15500624708971879*z^4)/
      65691648 + ((493973108267279*z^24)/49188674207098084807566950400 - 
       (23537309952128309*z^25)/797038702429830077900390400 + 
       (1447889591047729*z^26)/40999933252563275612160 - 
       (90456336810162949*z^27)/4270826380475341209600 + 
       (58063425459869371*z^28)/9886172177026252800 - (21599678509447*z^29)/
        282526639718400 - (3570801669885869*z^30)/10594748989440 + 
       (632502745394771*z^31)/11147673600)*Cf[z]^8 + 
     ((-5525*z^2)/3072 + (177495*z^3)/128)*Cf[z]^8*S2[z]^11 + 
     (565*Cf[z]^8*S2[z]^12)/128 + (11770961913689/167176883404800 - 
       (387000138167*z)/1592524800 + (2996887961515*z^2)/11943936 - 
       (33521827484243*z^3)/414720 + 
       ((120512925304273*z^18)/3494312493116188262400 - (72576562267607*z^19)/
          385175539364659200 + (4178139287639621*z^20)/9361905470668800 - 
         (13060100596867403*z^21)/21671077478400 + (51404060747880221*z^22)/
          100329062400 - (66183312856832203*z^23)/232243200 + 
         (41890253689616249*z^24)/403200 - (67149129024656631*z^25)/2800 + 
         (557417591125505073*z^26)/175 - (6500442219117425856*z^27)/35)*
        Cf[z]^6)*tS0[z] + (-237873077/11197440 + (27317854811*z)/622080 - 
       (1477538959*z^2)/72 + ((-101234627*z^12)/77396705280 + 
         (11678558177*z^13)/2579890176 - (2980929653*z^14)/466560 + 
         (32502838901*z^15)/6912 - (4392010426193*z^16)/2304 + 
         (16178099428803*z^17)/40 - (175818869980533*z^18)/5)*Cf[z]^4)*
      tS0[z]^2 + ((293657*z^6)/8640 - (14260519*z^7)/240 + 
       (646671571*z^8)/20 - (28111352724*z^9)/5)*Cf[z]^2*tS0[z]^3 - 
     160524*tS0[z]^4 + (4482992605/322486272 - (514836494515*z)/17915904 + 
       (139229632675*z^2)/10368 + 
       ((324439068911*z^20)/436789061639523532800 - (68513986520909*z^21)/
          12133029489986764800 + (1963533988799447*z^22)/112342865648025600 - 
         (9355643736518483*z^23)/312063515688960 + (928600660789443547*z^24)/
          28894769971200 - (2282566872526054589*z^25)/100329062400 + 
         (5041464090380216447*z^26)/464486400 - (931230494782855639*z^27)/
          268800 + (15924039257373266079*z^28)/22400 - 
         (59463155917498527459*z^29)/700 + (157491698947700580234*z^30)/35)*
        Cf[z]^7 + (2101373447/622080 - (113656843*z)/36 + 
         ((-306155113*z^14)/3250661621760 + (2106482251673*z^15)/
            5417769369600 - (9977274093251*z^16)/15049359360 + 
           (637005033375581*z^17)/1045094400 - (1587426073224473*z^18)/
            4838400 + (697708694422843*z^19)/6720 - (12559821567466689*z^20)/
            700 + (229165537381301412*z^21)/175)*Cf[z]^5)*tS0[z] + 
       (780325 + ((1934413*z^8)/746496 - (326266681*z^9)/51840 + 
           (843129131*z^10)/160 - (37294409373*z^11)/20 + 239233348692*z^12)*
          Cf[z]^3)*tS0[z]^2 + (-19110*z^2 + 8530704*z^3)*Cf[z]*tS0[z]^3)*
      tS1[z] + (-73530625/288 + ((-37763736461*z^16)/84257149236019200 + 
         (2993396166077*z^17)/1170238183833600 - (3060039962081*z^18)/
          541776936960 + (7399945487063*z^19)/1114767360 - 
         (12963252307079603*z^20)/2786918400 + (39020634932784649*z^21)/
          19353600 - (23842011020031663*z^22)/44800 + 
         (220166785974959541*z^23)/2800 - (874646286083641224*z^24)/175)*
        Cf[z]^6 + ((1392329*z^10)/29859840 - (657565363*z^11)/4976640 + 
         (58757323811*z^12)/414720 - (421621015931*z^13)/5760 + 
         (294533070309*z^14)/16 - (9070488545913*z^15)/5)*Cf[z]^4*tS0[z] + 
       ((-48815*z^4)/72 + 603395*z^5 - 133121664*z^6)*Cf[z]^2*tS0[z]^2)*
      tS1[z]^2 + (((5620147*z^12)/380936908800 - (14789409277*z^13)/
          112870195200 + (119909290033*z^14)/522547200 - 
         (2532602181863*z^15)/14515200 + (1202686008263*z^16)/17920 - 
         (8974919481741*z^17)/700 + (337440985062309*z^18)/350)*Cf[z]^5 + 
       ((-19381*z^6)/4320 + (906733*z^7)/180 - (26710997*z^8)/15 + 
         (955300464*z^9)/5)*Cf[z]^3*tS0[z] - 21840*Cf[z]*tS0[z]^2)*tS1[z]^3 + 
     (((149771*z^8)/2239488 - (45073447*z^9)/311040 + (327496973*z^10)/2880 - 
         (773218501*z^11)/20 + (24157320714*z^12)/5)*Cf[z]^4 + 
       (-1275*z^2 + 561600*z^3)*Cf[z]^2*tS0[z])*tS1[z]^4 + 
     ((-3325*z^4)/216 + (40450*z^5)/3 - 2930760*z^6)*Cf[z]^3*tS1[z]^5 - 
     200*Cf[z]^2*tS1[z]^6 + S2[z]^10*
      (((1267015*z^4)/3981312 - (567235*z^5)/1152 + (12438489*z^6)/64)*
        Cf[z]^8 + (1705*Cf[z]^7*tS1[z])/384) + 
     S2[z]^9*(((-1291525*z^6)/47775744 + (15011005*z^7)/221184 - 
         (86213695*z^8)/1536 + (62205921*z^9)/4)*Cf[z]^8 - 
       (7535*Cf[z]^6*tS0[z])/192 + ((-16675*z^2)/4608 + (130815*z^3)/64)*
        Cf[z]^7*tS1[z]) + S2[z]^8*(((-182375*z^8)/7739670528 - 
         (155964373*z^9)/71663616 + (61466479*z^10)/13824 - 
         (1183638331*z^11)/384 + (2939531517*z^12)/4)*Cf[z]^8 + 
       ((2225*z^2)/144 - (171055*z^3)/16)*Cf[z]^6*tS0[z] + 
       ((889625*z^4)/746496 - (9458755*z^5)/6912 + (6298493*z^6)/16)*Cf[z]^7*
        tS1[z] - (625*Cf[z]^6*tS1[z]^2)/36) + 
     S2[z]^7*(((26474819*z^10)/92876046336 - (840558109*z^11)/1289945088 + 
         (6106138435*z^12)/11943936 - (701969779*z^13)/6144 - 
         (12564822253*z^14)/320 + (337354482177*z^15)/20)*Cf[z]^8 + 
       ((-3897605*z^4)/1492992 + (12304435*z^5)/3456 - (9987611*z^6)/8)*
        Cf[z]^6*tS0[z] + (((-1994507*z^6)/8957952 + (47765917*z^7)/124416 - 
           (63971819*z^8)/288 + (344600391*z^9)/8)*Cf[z]^7 + 
         (14065*Cf[z]^5*tS0[z])/144)*tS1[z] + 
       ((4975*z^2)/432 - (38855*z^3)/6)*Cf[z]^6*tS1[z]^2) + 
     S2[z]^6*(((-1788525715*z^12)/53496602689536 + (78876612283*z^13)/
          743008370688 - (3714798917*z^14)/26873856 + (369630076633*z^15)/
          3981312 - (75223535629*z^16)/2304 + (407844701931*z^17)/80 - 
         132524459073*z^18)*Cf[z]^8 + ((1563149*z^6)/8957952 - 
         (24575027*z^7)/62208 + (28351795*z^8)/96 - 74117544*z^9)*Cf[z]^6*
        tS0[z] + (47515*Cf[z]^4*tS0[z]^2)/144 + 
       (((42291695*z^8)/1719926784 - (2041497815*z^9)/35831808 + 
           (919551239*z^10)/18432 - (2503243243*z^11)/128 + 
           (115750823517*z^12)/40)*Cf[z]^7 + 
         ((-4525*z^2)/864 + (31175*z^3)/3)*Cf[z]^5*tS0[z])*tS1[z] + 
       ((-437635*z^4)/165888 + (21492355*z^5)/6912 - (14584255*z^6)/16)*
        Cf[z]^6*tS1[z]^2 + (2255*Cf[z]^5*tS1[z]^3)/48) + 
     S2[z]^5*(((636471755*z^14)/427972821516288 - (26985337555*z^15)/
          4623163195392 + (42821276810993*z^16)/4334215495680 - 
         (18620122310957*z^17)/2006581248 + (120099040994057*z^18)/23224320 - 
         (90421895595881*z^19)/53760 + (319927585596957*z^20)/1120 - 
         (618939660932766*z^21)/35)*Cf[z]^8 + 
       ((70894775*z^8)/5159780352 - (109656031*z^9)/5971968 + 
         (96019549*z^10)/27648 + (131513457*z^11)/32 - (31182914169*z^12)/20)*
        Cf[z]^6*tS0[z] + ((-9425*z^2)/72 + (156845*z^3)/2)*Cf[z]^4*tS0[z]^2 + 
       (((-16722755*z^10)/13759414272 + (2153734661*z^11)/573308928 - 
           (139100197423*z^12)/29859840 + (133349431451*z^13)/46080 - 
           (72018139911*z^14)/80 + (2243408344407*z^15)/20)*Cf[z]^7 + 
         ((-2018455*z^4)/248832 + (3761555*z^5)/576 - 988965*z^6)*Cf[z]^5*
          tS0[z])*tS1[z] + (((97465*z^6)/442368 - (24138059*z^7)/55296 + 
           (324159643*z^8)/1152 - 59352378*z^9)*Cf[z]^6 + 
         (1415*Cf[z]^4*tS0[z])/48)*tS1[z]^2 + 
       ((-7555*z^2)/384 + (185577*z^3)/16)*Cf[z]^5*tS1[z]^3) + 
     S2[z]^4*(((52737978697*z^16)/970642359198941184 - (764424813067*z^17)/
          3744762188267520 + (54483097136681*z^18)/173368619827200 - 
         (1806564696569573*z^19)/7223692492800 + (1712222634067471*z^20)/
          16721510400 - (1361509024529*z^21)/96768 - (188418802866989*z^22)/
          44800 + (9501000273439911*z^23)/5600 - (51450527885623407*z^24)/
          350)*Cf[z]^8 + ((-126787717*z^10)/30958682112 + 
         (2166529015*z^11)/214990848 - (290892393031*z^12)/29859840 + 
         (105050796491*z^13)/23040 - (160168846569*z^14)/160 + 
         (753412311711*z^15)/10)*Cf[z]^6*tS0[z] + 
       ((458185*z^4)/20736 - (3647215*z^5)/144 + (14980485*z^6)/2)*Cf[z]^4*
        tS0[z]^2 + (((-787286665*z^12)/11702381838336 + (1262619989*z^13)/
            7524679680 - (75765024455*z^14)/501645312 + (3376655389223*z^15)/
            69672960 + (402670269863*z^16)/53760 - (285735564216*z^17)/35 + 
           (48951465836157*z^18)/35)*Cf[z]^7 + ((3668633*z^6)/1492992 - 
           (74387341*z^7)/20736 + (983387521*z^8)/576 - (1033868127*z^9)/4)*
          Cf[z]^5*tS0[z] - (4355*Cf[z]^3*tS0[z]^2)/2)*tS1[z] + 
       (((4345705*z^8)/214990848 - (46846423*z^9)/1658880 + 
           (278539733*z^10)/27648 + (2189905853*z^11)/1920 - 
           (32992516827*z^12)/40)*Cf[z]^6 + ((-55405*z^2)/288 + 82106*z^3)*
          Cf[z]^4*tS0[z])*tS1[z]^2 + ((1021*z^4)/1944 - (70795*z^5)/48 + 
         (2521311*z^6)/4)*Cf[z]^5*tS1[z]^3 - (1133*Cf[z]^4*tS1[z]^4)/12) + 
     S2[z]^3*(((-154900007329*z^18)/14559635387984117760 + 
         (393418774576349*z^19)/8088686326657843200 - (7328480698583339*z^20)/
          74895243765350400 + (59130426858500491*z^21)/520105859481600 - 
         (33711164068799743*z^22)/401316249600 + (5423046616850447*z^23)/
          132710400 - (84224973499075271*z^24)/6451200 + 
         (117998891350711983*z^25)/44800 - (34050013371303795*z^26)/112 + 
         (2701756093023563427*z^27)/175)*Cf[z]^8 + 
       ((4084552889*z^12)/11702381838336 - (283800669307*z^13)/270888468480 + 
         (412229346527*z^14)/313528320 - (15339707365963*z^15)/17418240 + 
         (6663372562207*z^16)/20160 - (18298120275837*z^17)/280 + 
         (182801652555456*z^18)/35)*Cf[z]^6*tS0[z] + 
       ((-276965*z^6)/248832 + (1145651*z^7)/576 - (352534741*z^8)/288 + 
         (519241827*z^9)/2)*Cf[z]^4*tS0[z]^2 - 3185*Cf[z]^2*tS0[z]^3 + 
       (((42526940377*z^14)/2808571641200640 - (5879538344101*z^15)/
            111451255603200 + (187607399917099*z^16)/2407897497600 - 
           (3164389679002819*z^17)/50164531200 + (1748237466385097*z^18)/
            58060800 - (10769636468459*z^19)/1280 + (1409215015435131*z^20)/
            1120 - (26518370994548757*z^21)/350)*Cf[z]^7 + 
         ((-255031*z^8)/839808 + (2282623603*z^9)/3732480 - 
           (531890957*z^10)/1152 + (36999620059*z^11)/240 - 
           (95181530526*z^12)/5)*Cf[z]^5*tS0[z] + 
         ((9685*z^2)/24 - 273039*z^3)*Cf[z]^3*tS0[z]^2)*tS1[z] + 
       (((-84712231*z^10)/12899450880 + (11290658579*z^11)/716636160 - 
           (98834856889*z^12)/6635520 + (190717124107*z^13)/27648 - 
           (496195098127*z^14)/320 + (532690059231*z^15)/4)*Cf[z]^6 + 
         ((302363*z^4)/5184 - (2064115*z^5)/36 + 13779105*z^6)*Cf[z]^4*
          tS0[z])*tS1[z]^2 + 
       (((2871493*z^6)/3732480 - (204558827*z^7)/207360 + 
           (765623417*z^8)/1920 - (1946443149*z^9)/40)*Cf[z]^5 - 
         (2528*Cf[z]^3*tS0[z])/3)*tS1[z]^3 + ((755*z^2)/72 - 8911*z^3)*
        Cf[z]^4*tS1[z]^4) + S2[z]^2*
      (((2496321227737*z^20)/5241468739674282393600 - (7372327400831*z^21)/
          3235474530663137280 + (41635821127109*z^22)/8559456430325760 - 
         (76358446289001811*z^23)/12482540627558400 + 
         (62263890479530927*z^24)/12383472844800 - (94499653959416639*z^25)/
          33443020800 + (42576879381900247*z^26)/38707200 - 
         (314655846060953213*z^27)/1075200 + (1138490039915745561*z^28)/
          22400 - (908010239664911832*z^29)/175 + (41385837187222126416*z^30)/
          175)*Cf[z]^8 + ((-2304186811*z^14)/468095273533440 + 
         (1376272974367*z^15)/130026464870400 - (30087578505191*z^16)/
          3611846246400 + (21300714273469*z^17)/8360755200 + 
         (34376542723*z^18)/604800 - (426241431197*z^19)/2240 + 
         (2546743130199*z^20)/80 - (249565415558589*z^21)/175)*Cf[z]^6*
        tS0[z] + ((-2170753*z^8)/8957952 + (100982479*z^9)/207360 - 
         (511770181*z^10)/1440 + (555837022*z^11)/5 - (61918858053*z^12)/5)*
        Cf[z]^4*tS0[z]^2 + ((3185*z^2)/2 - 779688*z^3)*Cf[z]^2*tS0[z]^3 + 
       (((-1804109277013*z^16)/2022171581664460800 + (10949560005679*z^17)/
            3120635156889600 - (58153060607497*z^18)/9631589990400 + 
           (1021142261199469*z^19)/171992678400 - (30487538944664023*z^20)/
            8360755200 + (13841170559762867*z^21)/9676800 - 
           (7818890748114057*z^22)/22400 + (135139851132586479*z^23)/2800 - 
           (503482833873902889*z^24)/175)*Cf[z]^7 + 
         ((11640883*z^10)/1074954240 - (58985521*z^11)/2211840 + 
           (135141747629*z^12)/4976640 - (6807033653*z^13)/480 + 
           3760799595*z^14 - 400176878733*z^15)*Cf[z]^5*tS0[z] + 
         ((49153*z^4)/864 - (151645*z^5)/4 + 3868722*z^6)*Cf[z]^3*tS0[z]^2)*
        tS1[z] + (((14194214429*z^12)/24379962163200 - (173999183227*z^13)/
            100329062400 + (664868762447*z^14)/309657600 - 
           (163979240112157*z^15)/116121600 + (83770488201227*z^16)/161280 - 
           (141472949295381*z^17)/1400 + (1416718534606371*z^18)/175)*
          Cf[z]^6 + ((-1229599*z^6)/207360 + (106254991*z^7)/11520 - 
           (4563540589*z^8)/960 + (16149309993*z^9)/20)*Cf[z]^4*tS0[z] + 
         6396*Cf[z]^2*tS0[z]^2)*tS1[z]^2 + 
       (((-7876399*z^8)/53747712 + (233846639*z^9)/829440 - 
           (1545563347*z^10)/7680 + (20162620167*z^11)/320 - 
           (29093314239*z^12)/4)*Cf[z]^5 + ((2110*z^2)/3 - 324048*z^3)*
          Cf[z]^3*tS0[z])*tS1[z]^3 + ((23525*z^4)/2592 - (119195*z^5)/16 + 
         (2887083*z^6)/2)*Cf[z]^4*tS1[z]^4 + 145*Cf[z]^3*tS1[z]^5) + 
     S2[z]*(-9598875197747/1504935936 + (15957693295247*z)/2488320 + 
       ((-133423480357*z^22)/251590499504365554892800 - 
         (131128569314921*z^23)/6988624986232376524800 + 
         (23279466265439611*z^24)/194128471839788236800 - 
         (14101605904981627*z^25)/44937146259210240 + (1925360372700179*z^26)/
          4127824281600 - (12768391642767743699*z^27)/28894769971200 + 
         (1042865749871078353*z^28)/3715891200 - (895997728375122049*z^29)/
          7372800 + (3184181325401842831*z^30)/89600 - 
         (150806776945632554511*z^31)/22400 + (104656339550040647931*z^32)/
          140 - (1294925586423479582058*z^33)/35)*Cf[z]^8 + 
       (688662869/1152 + ((-130472474389*z^16)/112342865648025600 + 
           (1724513961209*z^17)/292559545958400 - (11304094596107*z^18)/
            902961561600 + (1097977061035357*z^19)/75246796800 - 
           (21472902677033053*z^20)/2090188800 + (5442358713568261*z^21)/
            1209600 - (6735120879196137*z^22)/5600 + (31513819869049716*z^23)/
            175 - (2030139876441895236*z^24)/175)*Cf[z]^6)*tS0[z] + 
       ((6188039*z^10)/134369280 - (1891280027*z^11)/14929920 + 
         (55362314449*z^12)/414720 - (24579491651*z^13)/360 + 
         (683036439579*z^14)/40 - (8386388042526*z^15)/5)*Cf[z]^4*tS0[z]^2 + 
       ((-14651*z^4)/36 + (729365*z^5)/2 - 82486404*z^6)*Cf[z]^2*tS0[z]^3 + 
       (((28033864213*z^18)/3466579854281932800 - (2172209442559*z^19)/
            168514298472038400 - (180405722974387*z^20)/9361905470668800 + 
           (437275273267421*z^21)/6191736422400 - (2429305133453419*z^22)/
            28665446400 + (5557127329838231*z^23)/99532800 - 
           (7180477255345909*z^24)/322560 + (2409923563422705*z^25)/448 - 
           (204116272948787103*z^26)/280 + (1496052784129265028*z^27)/35)*
          Cf[z]^7 + ((539081533*z^12)/451480780800 - (9908434381*z^13)/
            2351462400 + (378129729809*z^14)/65318400 - (29440813254511*z^15)/
            7257600 + (15600023473813*z^16)/10080 - (53705654050686*z^17)/
            175 + (4343887540502208*z^18)/175)*Cf[z]^5*tS0[z] + 
         ((-1521143*z^6)/51840 + (59222891*z^7)/1440 - (760876883*z^8)/40 + 
           (14454568206*z^9)/5)*Cf[z]^3*tS0[z]^2 + 45864*Cf[z]*tS0[z]^3)*
        tS1[z] + (((-803201971*z^14)/58511909191680 + (689295056593*z^15)/
            16253308108800 - (432302643383*z^16)/7524679680 + 
           (61827506417561*z^17)/1393459200 - (204217819694347*z^18)/
            9676800 + (331391057766173*z^19)/53760 - (2850487657477587*z^20)/
            2800 + (25469495027183583*z^21)/350)*Cf[z]^6 + 
         ((-45449*z^8)/248832 + (2015521*z^9)/6480 - (262744727*z^10)/1440 + 
           (416025847*z^11)/10 - 2668064049*z^12)*Cf[z]^4*tS0[z] + 
         (1495*z^2 - 470808*z^3)*Cf[z]^2*tS0[z]^2)*tS1[z]^2 + 
       (((6662099*z^10)/806215680 - (1861220987*z^11)/89579520 + 
           (10356556661*z^12)/497664 - (119420052101*z^13)/11520 + 
           (82075627455*z^14)/32 - (2517859400841*z^15)/10)*Cf[z]^5 + 
         ((-10495*z^4)/144 + (225250*z^5)/3 - 18930960*z^6)*Cf[z]^3*tS0[z])*
        tS1[z]^3 + (((-1077769*z^6)/622080 + (41978503*z^7)/17280 - 
           (539516509*z^8)/480 + (1712069793*z^9)/10)*Cf[z]^4 + 
         2430*Cf[z]^2*tS0[z])*tS1[z]^4 + ((275*z^2)/12 - 6090*z^3)*Cf[z]^3*
        tS1[z]^5)
 
Ff[6] = -23111200900423849355533/1387701312266222010630144000 + 
     (18028800059430426960887339*z)/157401306252418700279808000 - 
     (101518128188458730905932157*z^2)/364354875584302546944000 + 
     (4728692303328582455042093*z^3)/15334801160955494400 - 
     (62519543762649999506669717*z^4)/390469474005811200 + 
     (4102106616413748368530717*z^5)/129123503308800 + 
     ((68583538896462104730493*z^30)/
        4210217571699810927146979064276844544000 - 
       (3717382291696327228561*z^31)/51565470944785064265468585443328000 + 
       (29535006963031478711419*z^32)/208887903132809866816134316032000 - 
       (53823699209262591152683*z^33)/334756255020528632718163968000 + 
       (20013984396490947940421*z^34)/172199719660765757571072000 - 
       (10536390246224117895371*z^35)/191923555863336321024000 + 
       (179924202124080803836067*z^36)/10795700017312668057600 - 
       (4665825022415259184627*z^37)/1542595452862464000 + 
       (34576149236463474256367*z^38)/128549621071872000 - 
       (40291868779694726154997*z^39)/8034351316992000)*Cf[z]^10 + 
     ((-2825*z^2)/256 + (2422095*z^3)/256)*Cf[z]^10*S2[z]^14 + 
     (82825*Cf[z]^10*S2[z]^15)/3072 + 
     (8881933843953092827/700682453046735667200 - (93918928634676943943*z)/
        1621950122793369600 + (349313221317290184113*z^2)/3754514173132800 - 
       (108767438870242307927*z^3)/1738201006080 + (6071199574786000579*z^4)/
        402361344 + ((46189146073926897337*z^24)/
          1506403147592378847231737856000 - (828856975949404390501*z^25)/
          3487044323130506590814208000 + (6570005115050162787919*z^26)/
          8071861859098394886144000 - (10222910653835076625831*z^27)/
          6228288471526539264000 + (4718515449372942723433*z^28)/
          2162600163724492800 - (44965853400585293323171*z^29)/
          22248972877824000 + (248624529938265123608027*z^30)/
          185408107315200 - (62759835413694841704367*z^31)/97542144000 + 
         (100219736506663420579397*z^32)/451584000 - 
         (84263017698430992763959*z^33)/1568000 + 
         (243080920235953173797109*z^34)/28000 - 
         (21024178307502865194393*z^35)/25 + (924380419414701651695352*z^36)/
          25)*Cf[z]^8)*tS0[z] + (-11770961913689/5224277606400 + 
       (387000138167*z)/49766400 - (2996887961515*z^2)/373248 + 
       (33521827484243*z^3)/12960 + 
       ((-1579779595069493*z^18)/545986327049404416000 + 
         (946645916780539*z^19)/60183678025728000 - (120575273614991*z^20)/
          3250661621760 + (168972797811550489*z^21)/3386105856000 - 
         (3637905820594681*z^22)/86016000 + (4541101986902617177*z^23)/
          193536000 - (137680512699860759449*z^24)/16128000 + 
         (220339900642218318369*z^25)/112000 - (1826799850395039854043*z^26)/
          7000 + (13302234201417060098862*z^27)/875)*Cf[z]^6)*tS0[z]^2 + 
     (860002663/1399680 - (98764552009*z)/77760 + (5341871621*z^2)/9 + 
       ((2878164137*z^12)/48372940800 - (1666364956963*z^13)/8062156800 + 
         (2727000818683*z^14)/9331200 - (9298784537623*z^15)/43200 + 
         (10473255631691*z^16)/120 - (462942537501132*z^17)/25 + 
         (40248996697082016*z^18)/25)*Cf[z]^4)*tS0[z]^3 + 
     ((-4069247*z^6)/4320 + (197610049*z^7)/120 - (8961020341*z^8)/10 + 
       (779086061208*z^9)/5)*Cf[z]^2*tS0[z]^4 + (17795232*tS0[z]^5)/5 + 
     (-933480275103294173/3243900245586739200 + (1072857756187261531*z)/
        5006018897510400 + (109692278586913237*z^2)/241416806400 - 
       (1408783729997125037*z^3)/3218890752 + 
       ((10361464932010369*z^26)/17933370804671176752758784000 - 
         (1286326160285643863*z^27)/217374191571771839427379200 + 
         (1085632030864361367461*z^28)/43049929915191439392768000 - 
         (18384020558973951419431*z^29)/298957846633273884672000 + 
         (101277557856302530541141*z^30)/1038048078587756544000 - 
         (6201590217702678793982803*z^31)/57669337699319808000 + 
         (136669219694320642056932059*z^32)/1601926047203328000 - 
         (183818241166826221876503133*z^33)/3708162146304000 + 
         (20190766210535645315014159*z^34)/953745408000 - 
         (26152637414330425541910613*z^35)/3973939200 + 
         (200164511480829436112140419*z^36)/137984000 - 
         (264986224171013631816413073*z^37)/1232000 + 
         (1482632296359065269781351193*z^38)/77000 - 
         (216422051975820525119862006*z^39)/275)*Cf[z]^9 + 
       (-4482992605/4478976 + (514836494515*z)/248832 - (139229632675*z^2)/
          144 + ((-384862111601*z^20)/3033257372496691200 + 
           (6344933577737*z^21)/7522959753216000 - (4215340280678083*z^22)/
            1755357275750400 + (3797526032909929991*z^23)/975198486528000 - 
           (14487285822654208589*z^24)/3611846246400 + 
           (345758587611834614773*z^25)/125411328000 - 
           (746693203482987637357*z^26)/580608000 + 
           (19360384315011232537*z^27)/48000 - (142822874647216485963*z^28)/
            1750 + (8436423265518931754067*z^29)/875 - 
           (442681016599164256990632*z^30)/875)*Cf[z]^7)*tS0[z] + 
       (-2101373447/19440 + (909254744*z)/9 + 
         ((7307640997*z^14)/1218998108160 - (8315666111087*z^15)/
            338610585600 + (14531050077181*z^16)/348364800 - 
           (27782512527607*z^17)/725760 + (345977522059387*z^18)/16800 - 
           (912573811490843*z^19)/140 + (197273848698502776*z^20)/175 - 
           (2882657177831772864*z^21)/35)*Cf[z]^5)*tS0[z]^2 + 
       (-22569400 + ((-9267299*z^8)/93312 + (1526094461*z^9)/6480 - 
           (2335288009*z^10)/12 + (341558143266*z^11)/5 - 
           (43593161699232*z^12)/5)*Cf[z]^3)*tS0[z]^3 + 
       (529620*z^2 - 236422368*z^3)*Cf[z]*tS0[z]^4)*tS1[z] + 
     (33647390341513/752467968 - (50872530388753*z)/1244160 + 
       ((-1445257480811*z^22)/3743906242624487424000 + 
         (2748616184137667*z^23)/727981769399205888000 - 
         (80620238287224757*z^24)/5777633090469888000 + 
         (32802919768160869*z^25)/1170238183833600 - 
         (183161771036884000969*z^26)/5201058594816000 + 
         (712374435559708734221*z^27)/24078974976000 - 
         (6880153995578444083739*z^28)/401316249600 + 
         (32058524701390163160599*z^29)/4644864000 - 
         (10221501637783393567763*z^30)/5376000 + 
         (38371286379915175725693*z^31)/112000 - 
         (510245983263339974106657*z^32)/14000 + 
         (217256280237177742489869*z^33)/125)*Cf[z]^8 + 
       (73530625/4 + ((35660026259*z^16)/390079394611200 - 
           (51303826541*z^17)/112870195200 + (8423436528923*z^18)/
            9029615616 - (6581390368140913*z^19)/6270566400 + 
           (41529502219638623*z^20)/58060800 - (1472692899098931943*z^21)/
            4838400 + (355482292696906243*z^22)/4480 - 
           (4068938621519327547*z^23)/350 + (128586705970844546406*z^24)/175)*
          Cf[z]^6)*tS0[z] + ((-2167133*z^10)/699840 + (2665150691*z^11)/
          311040 - (78261867407*z^12)/8640 + (37109983147*z^13)/8 - 
         (5801794742466*z^14)/5 + (570084196896576*z^15)/5)*Cf[z]^4*
        tS0[z]^2 + ((238135*z^4)/9 - 23567720*z^5 + 5215307904*z^6)*Cf[z]^2*
        tS0[z]^3)*tS1[z]^2 + 
     (((-861697457963*z^18)/15166286862483456000 - (40984492421681*z^19)/
          210642873090048000 + (206864638306447*z^20)/167176883404800 - 
         (31553603793848429*z^21)/13544423424000 + (290372722865635147*z^22)/
          125411328000 - (9679549029920192293*z^23)/6967296000 + 
         (303439934392844381831*z^24)/580608000 - (54259458607672459679*z^25)/
          448000 + (444135766503556577853*z^26)/28000 - 
         (225198322514497898343*z^27)/250)*Cf[z]^7 + 
       ((-1744164739*z^12)/84652646400 + (27948311641*z^13)/391910400 - 
         (12487548900383*z^14)/130636800 + (118279967918479*z^15)/1814400 - 
         (32494872112933*z^16)/1344 + (1630950791690097*z^17)/350 - 
         (64121530628625948*z^18)/175)*Cf[z]^5*tS0[z] + 
       ((640117*z^6)/1620 - (43743533*z^7)/90 + (980753198*z^8)/5 - 
         (129400318368*z^9)/5)*Cf[z]^3*tS0[z]^2 + 631680*Cf[z]*tS0[z]^3)*
      tS1[z]^3 + (((2592750907*z^14)/14627977297920 - (100744940515*z^15)/
          162533081088 + (70988367942407*z^16)/75246796800 - 
         (140060425988767*z^17)/174182400 + (2659230106424069*z^18)/6451200 - 
         (170142110250607*z^19)/1344 + (30114407132480547*z^20)/1400 - 
         (272537264109362589*z^21)/175)*Cf[z]^6 + 
       ((-12869*z^8)/3888 + (1109062*z^9)/135 - (1263906497*z^10)/180 + 
         (12669332696*z^11)/5 - (1655610590736*z^12)/5)*Cf[z]^4*tS0[z] + 
       (55600*z^2 - 24577920*z^3)*Cf[z]^2*tS0[z]^2)*tS1[z]^4 + 
     (((-3931379*z^10)/53747712 + (284630477*z^11)/1492992 - 
         (40129702799*z^12)/207360 + (30800210571*z^13)/320 - 
         (941973943101*z^14)/40 + (11369066207994*z^15)/5)*Cf[z]^5 + 
       (1400*z^4 - 1233000*z^5 + 269939520*z^6)*Cf[z]^3*tS0[z])*tS1[z]^5 + 
     (((66443*z^6)/7776 - (2357441*z^7)/216 + (13812349*z^8)/3 - 
         641147328*z^9)*Cf[z]^4 + 14400*Cf[z]^2*tS0[z])*tS1[z]^6 + 
     ((1250*z^2)/3 - 182400*z^3)*Cf[z]^3*tS1[z]^7 + 
     S2[z]^13*(((14671085*z^4)/7962624 - (61465075*z^5)/18432 + 
         (383385675*z^6)/256)*Cf[z]^10 + (102245*Cf[z]^9*tS1[z])/768) + 
     S2[z]^12*(((-11937625*z^6)/95551488 + (560356855*z^7)/1327104 - 
         (219410649*z^8)/512 + (4440779181*z^9)/32)*Cf[z]^10 - 
       (196075*Cf[z]^8*tS0[z])/1152 + ((-568375*z^2)/9216 + 
         (5954945*z^3)/128)*Cf[z]^9*tS1[z]) + 
     S2[z]^11*(((-99393695*z^8)/15479341056 - (1172997209*z^9)/286654464 + 
         (6664561597*z^10)/221184 - (86909752837*z^11)/3072 + 
         (258228422055*z^12)/32)*Cf[z]^10 + 
       ((152725*z^2)/2304 - (1670105*z^3)/32)*Cf[z]^8*tS0[z] + 
       ((19662545*z^4)/1492992 - (540789185*z^5)/27648 + (476085631*z^6)/64)*
        Cf[z]^9*tS1[z] + (14995*Cf[z]^8*tS1[z]^2)/144) + 
     S2[z]^10*(((6513488791*z^10)/2972033482752 - (76448168927*z^11)/
          13759414272 + (296236732243*z^12)/63700992 - (119901413161*z^13)/
          147456 - (745644986529*z^14)/1024 + (90048324971619*z^15)/320)*
        Cf[z]^10 + ((-3401305*z^4)/331776 + (19495625*z^5)/1152 - 
         (223558545*z^6)/32)*Cf[z]^8*tS0[z] + 
       (((-235320599*z^6)/143327232 + (1215482029*z^7)/331776 - 
           (5671825405*z^8)/2048 + (91310790771*z^9)/128)*Cf[z]^9 - 
         (9085*Cf[z]^7*tS0[z])/32)*tS1[z] + 
       ((-1310825*z^2)/27648 + (4293675*z^3)/128)*Cf[z]^8*tS1[z]^2) + 
     S2[z]^9*(((-2368848797965*z^12)/11555266180939776 + 
         (6667605197639*z^13)/8916100448256 - (22551124197089*z^14)/
          20639121408 + (568519298414173*z^15)/716636160 - 
         (153331754135743*z^16)/552960 + (4726626466937*z^17)/160 + 
         (78722420181849*z^18)/20)*Cf[z]^10 + 
       ((215411*z^6)/497664 - (267910009*z^7)/165888 + (7485439837*z^8)/
          4608 - (16151701935*z^9)/32)*Cf[z]^8*tS0[z] + 
       (350705*Cf[z]^6*tS0[z]^2)/288 + 
       (((41333240465*z^8)/371504185344 - (153296852293*z^9)/429981696 + 
           (140293347917*z^10)/331776 - (1027830917507*z^11)/4608 + 
           (89321399007*z^12)/2)*Cf[z]^9 + ((10925*z^2)/48 - (516465*z^3)/4)*
          Cf[z]^7*tS0[z])*tS1[z] + ((458484875*z^4)/35831808 - 
         (1340479405*z^5)/82944 + (1034154263*z^6)/192)*Cf[z]^8*tS1[z]^2 + 
       (229625*Cf[z]^7*tS1[z]^3)/10368) + 
     S2[z]^8*(((46491475645*z^14)/7703510787293184 - (50412559171183*z^15)/
          1497904875307008 + (567778806264977*z^16)/7705271992320 - 
         (13487539899039071*z^17)/160526499840 + (3338081783852017*z^18)/
          61931520 - (2720407537905893*z^19)/143360 + 
         (11121434084561445*z^20)/3584 - (121312651779650349*z^21)/1120)*
        Cf[z]^10 + ((3338678515*z^8)/30958682112 - (5690613605*z^9)/
          35831808 + (628639195*z^10)/18432 + (16208672381*z^11)/384 - 
         (71054020323*z^12)/4)*Cf[z]^8*tS0[z] + 
       ((-29425*z^2)/64 + (647025*z^3)/2)*Cf[z]^6*tS0[z]^2 + 
       (((172305835*z^10)/247669456896 + (24866644681*z^11)/3439853568 - 
           (1142504775559*z^12)/53084160 + (3073582733237*z^13)/138240 - 
           (26216529279161*z^14)/2560 + (36203375806443*z^15)/20)*Cf[z]^9 + 
         ((-108428855*z^4)/1492992 + (290723485*z^5)/3456 - 
           (195073661*z^6)/8)*Cf[z]^7*tS0[z])*tS1[z] + 
       (((-64625315*z^6)/23887872 + (3116135165*z^7)/663552 - 
           (5744935493*z^8)/2048 + (74806038735*z^9)/128)*Cf[z]^8 + 
         (310315*Cf[z]^6*tS0[z])/288)*tS1[z]^2 + 
       ((152875*z^2)/6912 - (328525*z^3)/48)*Cf[z]^7*tS1[z]^3) + 
     S2[z]^7*(((66196837194101*z^16)/93181666483098353664 - 
         (567954581057*z^17)/240734712102912 + (7437983328421*z^18)/
          2568423997440 - (80791623125957*z^19)/68797071360 - 
         (2348803052579069*z^20)/3344302080 + (15526377210565973*z^21)/
          15482880 - (8135636914843687*z^22)/17920 + (99954927966850983*z^23)/
          1120 - (1481775752488641831*z^24)/280)*Cf[z]^10 + 
       ((-2045314951*z^10)/92876046336 + (74100751877*z^11)/1289945088 - 
         (286598472641*z^12)/4976640 + (3669402201307*z^13)/138240 - 
         (1573849323153*z^14)/320 + (450492594354*z^15)/5)*Cf[z]^8*tS0[z] + 
       ((8452435*z^4)/124416 - (56360695*z^5)/576 + (286037247*z^6)/8)*
        Cf[z]^6*tS0[z]^2 + (((-2509575737887*z^12)/2246857312960512 + 
           (42359242699*z^13)/13544423424 - (44364962790053*z^14)/
            13377208320 + (51198943647011*z^15)/34836480 - 
           (8888428080467*z^16)/161280 - (183070779684981*z^17)/1120 + 
           (11048319718796187*z^18)/280)*Cf[z]^9 + 
         ((56593739*z^6)/4478976 - (1380828379*z^7)/62208 + 
           (2507073379*z^8)/192 - (10278246783*z^9)/4)*Cf[z]^7*tS0[z] - 
         (6920*Cf[z]^5*tS0[z]^2)/3)*tS1[z] + 
       (((9197524175*z^8)/20639121408 - (2953589807*z^9)/2985984 + 
           (3848381663*z^10)/4608 - (122875681139*z^11)/384 + 
           (3797528153067*z^12)/80)*Cf[z]^8 + ((-575575*z^2)/864 + 
           (4579595*z^3)/12)*Cf[z]^6*tS0[z])*tS1[z]^2 + 
       ((-52234645*z^4)/2985984 + (14503585*z^5)/864 - (122707827*z^6)/32)*
        Cf[z]^7*tS1[z]^3 + (635*Cf[z]^6*tS1[z]^4)/1152) + 
     S2[z]^6*(((-55253472707045*z^18)/559089998898590121984 + 
         (1747946693925611*z^19)/3882569436795764736 - 
         (484602366798963409*z^20)/539245755110522880 + 
         (1597546231388013257*z^21)/1560317578444800 - 
         (498737046895586263*z^22)/687970713600 + (270975206834763391*z^23)/
          836075520 - (681459104388705337*z^24)/7741440 + 
         (2304398340248917497*z^25)/179200 - (3997364554576732041*z^26)/
          5600 + (2706284872454125419*z^27)/700)*Cf[z]^10 + 
       ((81119672843*z^12)/46809527353344 - (7617852559897*z^13)/
          1300264648704 + (27466712975813*z^14)/3344302080 - 
         (210992471541347*z^15)/34836480 + (26235868337677*z^16)/10752 - 
         (69006793545327*z^17)/140 + (2493471451700421*z^18)/70)*Cf[z]^8*
        tS0[z] + ((-274237*z^6)/186624 + (257456897*z^7)/41472 - 
         (2344667351*z^8)/384 + (14331353715*z^9)/8)*Cf[z]^6*tS0[z]^2 - 
       (28060*Cf[z]^4*tS0[z]^3)/3 + 
       (((1788002300005*z^14)/13481143877763072 - (181640512257271*z^15)/
            374476218826752 + (13027881888801767*z^16)/17336861982720 - 
           (25404400138748053*z^17)/40131624960 + (28556544002414783*z^18)/
            92897280 - (2535927304757579*z^19)/30720 + 
           (44857909927913571*z^20)/4480 - (8848272331614897*z^21)/56)*
          Cf[z]^9 + ((-491500165*z^8)/429981696 + (24929902439*z^9)/8957952 - 
           (105585182287*z^10)/41472 + (16590871135*z^11)/16 - 
           (792948908151*z^12)/5)*Cf[z]^7*tS0[z] + 
         ((-4400*z^2)/9 + 10400*z^3)*Cf[z]^5*tS0[z]^2)*tS1[z] + 
       (((-6378033995*z^10)/123834728448 + (243390696325*z^11)/1719926784 - 
           (37425417723499*z^12)/238878720 + (1613469310723*z^13)/18432 - 
           (15856410759097*z^14)/640 + (45801715790727*z^15)/16)*Cf[z]^8 + 
         ((217105*z^4)/1728 - (271570015*z^5)/1728 + (386094451*z^6)/8)*
          Cf[z]^6*tS0[z])*tS1[z]^2 + 
       (((83457595*z^6)/17915904 - (3610276639*z^7)/497664 + 
           (51408547393*z^8)/13824 - (19935045085*z^9)/32)*Cf[z]^7 - 
         (33635*Cf[z]^5*tS0[z])/12)*tS1[z]^3 + 
       ((-675395*z^2)/6912 + (490217*z^3)/12)*Cf[z]^6*tS1[z]^4) + 
     S2[z]^5*(((493373772953933*z^20)/100636199801746221957120 - 
         (1488752450178541*z^21)/58238541551936471040 + 
         (324619914658587997*z^22)/5392457551105228800 - 
         (1049160348516051131*z^23)/12482540627558400 + 
         (3547598659618226861*z^24)/46231631953920 - 
         (38212091931879535841*z^25)/802632499200 + 
         (14997813767045905357*z^26)/743178240 - (6142944315585103493*z^27)/
          1075200 + (7310736639079971345*z^28)/7168 - 
         (572517056686938659757*z^29)/5600 + (3123783796046467958307*z^30)/
          700)*Cf[z]^10 + ((-815600777*z^14)/93619054706688 + 
         (1867245541537*z^15)/26005292974080 - (58462300330361*z^16)/
          309586821120 + (1211984798783359*z^17)/5016453120 - 
         (19825600165647209*z^18)/116121600 + (18220185673106909*z^19)/
          268800 - (39067814346280767*z^20)/2800 + (194166982609390197*z^21)/
          175)*Cf[z]^8*tS0[z] + ((-9857675*z^8)/8957952 + 
         (246632041*z^9)/124416 - (233355187*z^10)/192 + 
         (4106001897*z^11)/16 - (12149385291*z^12)/10)*Cf[z]^6*tS0[z]^2 + 
       ((21575*z^2)/6 - 2175060*z^3)*Cf[z]^4*tS0[z]^3 + 
       (((-13934027105113*z^16)/1941284718397882368 + (174334437016991*z^17)/
            5617143282401280 - (5111396146311601*z^18)/86684309913600 + 
           (57818283699549581*z^19)/902961561600 - (1445938472030084593*z^20)/
            33443020800 + (28552201294139603*z^21)/1548288 - 
           (214420968299436029*z^22)/44800 + (9406203352601805*z^23)/14 - 
           (5067553709103018597*z^24)/140)*Cf[z]^9 + 
         ((1603897*z^10)/429981696 - (1867751947*z^11)/35831808 + 
           (1597246690141*z^12)/14929920 - (509107568971*z^13)/5760 + 
           (2652216466539*z^14)/80 - 4713331599054*z^15)*Cf[z]^7*tS0[z] + 
         ((402185*z^4)/864 - (5096735*z^5)/12 + 88396632*z^6)*Cf[z]^5*
          tS0[z]^2)*tS1[z] + (((317709246191*z^12)/93619054706688 - 
           (128591000849*z^13)/11287019520 + (26831192210923*z^14)/
            1672151040 - (844973950974847*z^15)/69672960 + 
           (743907814311351*z^16)/143360 - (5347397929273671*z^17)/4480 + 
           (64849486959243639*z^18)/560)*Cf[z]^8 + 
         ((-35723*z^6)/41472 + (57685355*z^7)/6912 - (4816393261*z^8)/576 + 
           (8876531091*z^9)/4)*Cf[z]^6*tS0[z] - 5730*Cf[z]^4*tS0[z]^2)*
        tS1[z]^2 + (((-747694609*z^8)/1289945088 + (9458435201*z^9)/7464960 - 
           (71347259081*z^10)/69120 + (44479705517*z^11)/120 - 
           (1973179096497*z^12)/40)*Cf[z]^7 + ((10645*z^2)/12 - 572256*z^3)*
          Cf[z]^5*tS0[z])*tS1[z]^3 + ((10319519*z^4)/248832 - 
         (5977955*z^5)/144 + (80708049*z^6)/8)*Cf[z]^6*tS1[z]^4 - 
       (18907*Cf[z]^5*tS1[z]^5)/120) + 
     S2[z]^4*(((1588976998859*z^22)/86259599830068190248960 - 
         (2645936149976683*z^23)/20965874958697129574400 + 
         (187895616564672767*z^24)/582385415519364710400 - 
         (3275722246515463*z^25)/7988826001637376 + 
         (2519302580600633437*z^26)/9986032502046720 - 
         (1268753354039525341*z^27)/115579079884800 - 
         (13491267537862872529*z^28)/133772083200 + (85695557453292131*z^29)/
          1075200 - (44663785552810174203*z^30)/1433600 + 
         (87557943556718136567*z^31)/12800 - (1112394972737551927329*z^32)/
          1400 + (968784903628654457547*z^33)/25)*Cf[z]^10 + 
       ((-13592904974251*z^16)/1213302948998676480 + (63029252719273*z^17)/
          1404285820600320 - (119612711751263*z^18)/1547934105600 + 
         (3732978054477641*z^19)/50164531200 - (364487717133358957*z^20)/
          8360755200 + (76283933339435729*z^21)/4838400 - 
         (75931050357470661*z^22)/22400 + (544032886714538607*z^23)/1400 - 
         (3159512258895790407*z^24)/175)*Cf[z]^8*tS0[z] + 
       ((40643725*z^10)/214990848 - (118853809*z^11)/248832 + 
         (119108895749*z^12)/248832 - (453119542747*z^13)/1920 + 
         (902129193981*z^14)/16 - (25215615961641*z^15)/5)*Cf[z]^6*tS0[z]^2 + 
       ((-1407175*z^4)/2592 + (1927220*z^5)/3 - 195382296*z^6)*Cf[z]^4*
        tS0[z]^3 + (((-1401854877137*z^18)/58238541551936471040 + 
           (120575775358123*z^19)/2022171581664460800 + 
           (645625347132733*z^20)/11234286564802560 - 
           (11978544969373553*z^21)/32506616217600 + 
           (1382428781455939909*z^22)/2407897497600 - 
           (436494773625828371*z^23)/928972800 + (975592913207212553*z^24)/
            4300800 - (723405082755094737*z^25)/11200 + 
           (27693363182286323043*z^26)/2800 - (4215317773288244886*z^27)/7)*
          Cf[z]^9 + ((51674434091*z^12)/4179422085120 - (229517096741*z^13)/
            6449725440 + (1862052854377*z^14)/44789760 - 
           (31028669081287*z^15)/1244160 + (182470977906871*z^16)/23040 - 
           (95861450631339*z^17)/80 + (571539148563231*z^18)/10)*Cf[z]^7*
          tS0[z] + ((-1144625*z^6)/10368 + (23851043*z^7)/144 - 
           (981085955*z^8)/12 + 13101454692*z^9)*Cf[z]^5*tS0[z]^2 + 
         57500*Cf[z]^3*tS0[z]^3)*tS1[z] + 
       (((-9039891197*z^14)/2808571641200640 + (2064678735029*z^15)/
            27862813900800 - (85359999160873*z^16)/361184624640 + 
           (203982906123223*z^17)/619315200 - (114540104937471263*z^18)/
            464486400 + (22359632161014521*z^19)/215040 - 
           (131156010709386507*z^20)/5600 + (1546748605488943233*z^21)/700)*
          Cf[z]^8 + ((-48678341*z^8)/13436928 + (4032131017*z^9)/622080 - 
           (8978770643*z^10)/2160 + (32933883497*z^11)/30 - 
           (932958196119*z^12)/10)*Cf[z]^6*tS0[z] + 
         ((18355*z^2)/2 - 4176324*z^3)*Cf[z]^4*tS0[z]^2)*tS1[z]^2 + 
       (((572389543*z^10)/38698352640 - (28513367093*z^11)/537477120 + 
           (1058587305589*z^12)/14929920 - (1040827086253*z^13)/23040 + 
           (4443304493579*z^14)/320 - (33139203013611*z^15)/20)*Cf[z]^7 + 
         ((279697*z^4)/1944 - (2716015*z^5)/36 + 59190*z^6)*Cf[z]^5*tS0[z])*
        tS1[z]^3 + (((-39793877*z^6)/7464960 + (28846781*z^7)/3240 - 
           (873838051*z^8)/180 + (4308790341*z^9)/5)*Cf[z]^6 + 
         (16261*Cf[z]^4*tS0[z])/3)*tS1[z]^4 + ((36805*z^2)/144 - 116188*z^3)*
        Cf[z]^5*tS1[z]^5) + S2[z]^3*
      (((-5087026149205859*z^24)/326061287357657759141068800 + 
         (4761883455387023*z^25)/47921999905593439027200 - 
         (1141647127716522709*z^26)/3993499992132786585600 + 
         (39805112391322892693*z^27)/80886863266578432000 - 
         (30474427407261286090961*z^28)/53924575511052288000 + 
         (56967722590062566779591*z^29)/124825406275584000 - 
         (38402133230914896026881*z^30)/144473849856000 + 
         (15048441878931130619141*z^31)/133772083200 - 
         (3796690157956611188737*z^32)/110592000 + 
         (26411768054080897792873*z^33)/3584000 - 
         (23684520732929553366783*z^34)/22400 + 
         (182581100791222765432329*z^35)/2000 - 
         (3145097488101302063447919*z^36)/875)*Cf[z]^10 + 
       ((1821996468907*z^18)/1819954423498014720 - (2308988455164199*z^19)/
          505542895416115200 + (8633081008909573*z^20)/936190547066880 - 
         (175764255906018089*z^21)/16253308108800 + (50870515700983807*z^22)/
          6270566400 - (2809577897079083941*z^23)/696729600 + 
         (178163159843655463*z^24)/134400 - (48508538263624401*z^25)/175 + 
         (5838462672520876893*z^26)/175 - (308048640142761350964*z^27)/175)*
        Cf[z]^8*tS0[z] + ((-56699262973*z^12)/4875992432640 + 
         (53006099899*z^13)/1504935936 - (1044694203479*z^14)/23224320 + 
         (17938171963715*z^15)/580608 - (42918442192431*z^16)/3584 + 
         (1379904154735653*z^17)/560 - (14512953153730527*z^18)/70)*Cf[z]^6*
        tS0[z]^2 + ((118781*z^6)/31104 - (7230463*z^7)/432 + 
         (47838254*z^8)/3 - 4424571072*z^9)*Cf[z]^4*tS0[z]^3 + 
       88270*Cf[z]^2*tS0[z]^4 + 
       (((639662820206149*z^20)/20965874958697129574400 - 
           (853768485964511*z^21)/5392457551105228800 + 
           (491370216126964283*z^22)/1348114387776307200 - 
           (9182951018455825523*z^23)/18723810941337600 + 
           (148073710189100749439*z^24)/346737239654400 - 
           (16801185166706029267*z^25)/66886041600 + 
           (187482596118620044717*z^26)/1857945600 - 
           (610909689255967551*z^27)/22400 + (84829824650850139269*z^28)/
            17920 - (666517663821560550327*z^29)/1400 + 
           (7438309265452639205763*z^30)/350)*Cf[z]^9 + 
         ((-35871220571*z^14)/25076532510720 + (245732381599157*z^15)/
            48759924326400 - (227873014838933*z^16)/30098718720 + 
           (19682250969249133*z^17)/3135283200 - (7490346708436339*z^18)/
            2419200 + (608349557758093*z^19)/672 - (101169581370160959*z^20)/
            700 + (1686311253911931012*z^21)/175)*Cf[z]^7*tS0[z] + 
         ((49402333*z^8)/4478976 - (1179107617*z^9)/51840 + 
           (4229891321*z^10)/240 - (30279253169*z^11)/5 + 
           (3865265151552*z^12)/5)*Cf[z]^5*tS0[z]^2 + 
         ((-19945*z^2)/3 + 5536344*z^3)*Cf[z]^3*tS0[z]^3)*tS1[z] + 
       (((-83993524289029*z^16)/4044343163328921600 + (130075334450483*z^17)/
            1560317578444800 - (468133208444957*z^18)/3250661621760 + 
           (84056299360715701*z^19)/601974374400 - (923774210044026181*z^20)/
            11147673600 + (791115508995771823*z^21)/25804800 - 
           (76600302786422507*z^22)/11200 + (9249532174775404503*z^23)/
            11200 - (5550422099348277351*z^24)/140)*Cf[z]^8 + 
         ((64358233*z^10)/100776960 - (70195512781*z^11)/44789760 + 
           (632601332851*z^12)/414720 - (3171005956009*z^13)/4320 + 
           (347891020065*z^14)/2 - (80707796608104*z^15)/5)*Cf[z]^6*tS0[z] + 
         ((-1016981*z^4)/432 + (4743355*z^5)/2 - 587135736*z^6)*Cf[z]^4*
          tS0[z]^2)*tS1[z]^2 + (((776165407939*z^12)/146279772979200 - 
           (140234894633*z^13)/9405849600 + (213492688052041*z^14)/
            12541132800 - (583233408162151*z^15)/58060800 + 
           (6183765571347499*z^16)/1935360 - (5699013809722763*z^17)/11200 + 
           (42489145956406473*z^18)/1400)*Cf[z]^7 + 
         ((-19871267*z^6)/233280 + (1506174493*z^7)/12960 - 
           (6188571683*z^8)/120 + (36802184382*z^9)/5)*Cf[z]^5*tS0[z] + 
         42344*Cf[z]^3*tS0[z]^2)*tS1[z]^3 + 
       (((-20258879*z^8)/107495424 + (44659457*z^9)/276480 + 
           (3006983057*z^10)/69120 - (33320900833*z^11)/480 + 
           (613561817691*z^12)/40)*Cf[z]^6 + ((3370*z^2)/9 + 103808*z^3)*
          Cf[z]^4*tS0[z])*tS1[z]^4 + ((-548195*z^4)/10368 + (445055*z^5)/8 - 
         14212902*z^6)*Cf[z]^5*tS1[z]^5 + (2935*Cf[z]^4*tS1[z]^6)/6) + 
     S2[z]^2*(((956744569627969*z^26)/1304245149430631036564275200 - 
         (381887646173797999*z^27)/79703870242983007790039040 + 
         (394226054117194557977*z^28)/27674954945480211038208000 - 
         (4368915085946848872209*z^29)/170833055219013648384000 + 
         (73515224371689366248849*z^30)/2372681322486300672000 - 
         (13792002594404276163167*z^31)/514904800886784000 + 
         (649010197530009376841089*z^32)/38141096361984000 - 
         (19738141777421369226919*z^33)/2452488192000 + 
         (82772796867028374932699*z^34)/29196288000 - 
         (173752274261769913332307*z^35)/236544000 + 
         (1340519769479647011441951*z^36)/9856000 - 
         (476982660860948380161123*z^37)/28000 + 
         (71141334289489628354826*z^38)/55 - (61837769780781258527690616*
           z^39)/1375)*Cf[z]^10 + 
       ((-2799640677109*z^20)/109197265409880883200 + (332865696799397*z^21)/
          3033257372496691200 - (7708693205339809*z^22)/37447621882675200 + 
         (38640340261948907*z^23)/173368619827200 - 
         (13363242098696886707*z^24)/86684309913600 + 
         (66039727136058503*z^25)/928972800 - (1139539403692616057*z^26)/
          51609600 + (152352017757884207*z^27)/33600 - 
         (12980120532870976749*z^28)/22400 + (6922680792616947276*z^29)/175 - 
         (32321670819702861942*z^30)/35)*Cf[z]^8*tS0[z] + 
       ((-424182217*z^14)/1218998108160 + (539930964877*z^15)/338610585600 - 
         (858202379*z^16)/306180 + (111425547269041*z^17)/43545600 - 
         (2154523593330629*z^18)/1612800 + (902375044762449*z^19)/2240 - 
         (13075664273890731*z^20)/200 + (776482144113029238*z^21)/175)*
        Cf[z]^6*tS0[z]^2 + ((13600463*z^8)/1119744 - (627184927*z^9)/25920 + 
         (354054573*z^10)/20 - (28127097498*z^11)/5 + 650250452160*z^12)*
        Cf[z]^4*tS0[z]^3 + (-44135*z^2 + 21608496*z^3)*Cf[z]^2*tS0[z]^4 + 
       (((-37254285197579*z^22)/20965874958697129574400 + 
           (23120439314249591*z^23)/2329541662077458841600 - 
           (24271866058519073809*z^24)/970642359198941184000 + 
           (12060575141792684069*z^25)/320979616137216000 - 
           (389575325735706791381*z^26)/10402117189632000 + 
           (33556164232028518147*z^27)/1289945088000 - 
           (4297317018404263282207*z^28)/334430208000 + 
           (499014613955466481613*z^29)/110592000 - 
           (61771086885198727251*z^30)/56000 + (10001540663183727084519*z^31)/
            56000 - (17221382489632821676569*z^32)/1000 + 
           (655899588546454577828394*z^33)/875)*Cf[z]^9 + 
         ((1172254740413*z^16)/21064287309004800 - (62261987958991*z^17)/
            292559545958400 + (389554677602359*z^18)/1083553873920 - 
           (8794204946866751*z^19)/25082265600 + (902011183399975903*z^20)/
            4180377600 - (828794793496833487*z^21)/9676800 + 
           (1494276528573879*z^22)/70 - (4257080777118479229*z^23)/1400 + 
           (32964688250793131598*z^24)/175)*Cf[z]^7*tS0[z] + 
         ((1051099*z^10)/44789760 - (29810039*z^11)/622080 - 
           (245626411*z^12)/17280 + (14255947561*z^13)/240 - 
           (160249752081*z^14)/5 + (25915094570016*z^15)/5)*Cf[z]^5*
          tS0[z]^2 + ((-376631*z^4)/108 + 2792570*z^5 - 503338320*z^6)*
          Cf[z]^3*tS0[z]^3)*tS1[z] + 
       (((13195483738489*z^18)/8088686326657843200 - (209847251518259*z^19)/
            28085716412006400 + (1011052267102697*z^20)/66870753361920 - 
           (109879789998409313*z^21)/6191736422400 + 
           (111302175742131527*z^22)/8360755200 - (18437215011972785321*z^23)/
            2786918400 + (561499771030021249*z^24)/258048 - 
           (5108538340134181809*z^25)/11200 + (154480826814951354849*z^26)/
            2800 - (511669148010020642619*z^27)/175)*Cf[z]^8 + 
         ((-85071362057*z^12)/2031663513600 + (2367996060221*z^13)/
            18811699200 - (55034729633621*z^14)/348364800 + 
           (511554717205333*z^15)/4838400 - (6404323424347999*z^16)/161280 + 
           (22166022310763217*z^17)/2800 - (228409811012589327*z^18)/350)*
          Cf[z]^6*tS0[z] + ((341207*z^6)/2160 - (32056003*z^7)/120 + 
           (1475094327*z^8)/10 - (132863682456*z^9)/5)*Cf[z]^4*tS0[z]^2 - 
         145536*Cf[z]^2*tS0[z]^3)*tS1[z]^2 + 
       (((-79804228267*z^14)/117023818383360 + (77775511742629*z^15)/
            32506616217600 - (3220506033165641*z^16)/902961561600 + 
           (72850471555853*z^17)/24883200 - (27648420028600859*z^18)/
            19353600 + (11130033953275033*z^19)/26880 - 
           (369211871512313253*z^20)/5600 + (1554782577753035079*z^21)/350)*
          Cf[z]^7 + ((27340619*z^8)/2239488 - (186337979*z^9)/7776 + 
           (349610749*z^10)/20 - 5609160789*z^11 + (3333243410172*z^12)/5)*
          Cf[z]^5*tS0[z] + (-28780*z^2 + 13542912*z^3)*Cf[z]^3*tS0[z]^2)*
        tS1[z]^3 + (((12389347*z^10)/107495424 - (1619598485*z^11)/5971968 + 
           (312738020051*z^12)/1244160 - (2638809690119*z^13)/23040 + 
           (1637839555005*z^14)/64 - (8943759888021*z^15)/4)*Cf[z]^6 + 
         ((-25225*z^4)/27 + (2425375*z^5)/3 - 169752600*z^6)*Cf[z]^4*tS0[z])*
        tS1[z]^4 + (((-54113*z^6)/25920 + (7233073*z^7)/5760 + 
           (115004893*z^8)/480 - (1687108401*z^9)/10)*Cf[z]^5 - 
         8400*Cf[z]^3*tS0[z])*tS1[z]^5 + ((-4975*z^2)/12 + 190740*z^3)*
        Cf[z]^4*tS1[z]^6) + S2[z]*(-21856886889596015171/60072226770124800 + 
       (112084810825804020271*z)/139056080486400 - (2007847606206385327*z^2)/
        3218890752 + ((-5099788523914573*z^28)/
          774721618761794835719179468800 + (428303982139838623*z^29)/
          20495280919624202003152896000 + (332938097585805493297*z^30)/
          9298784861681350908837888000 - (7543487332758474143051*z^31)/
          23481779953740785123328000 + (12069209782092388785860003*z^32)/
          14349976638397146464256000 - (4295490293449505238137711*z^33)/
          3321753851480820940800 + (6891647369542368785679703*z^34)/
          5126163351050649600 - (44469101851425987907382741*z^35)/
          44497945755648000 + (112089191029351143939851809*z^36)/
          206009008128000 - (289138214321690057916103*z^37)/1324646400 + 
         (70590872030718198856737683*z^38)/1103872000 - 
         (91961974268408266740242667*z^39)/6899200 + 
         (2309902994866001692690804869*z^40)/1232000 - 
         (6148728432913628405829406257*z^41)/38500 + 
         (1712630386903490969068139994*z^42)/275)*Cf[z]^10 + 
       (47994375988735/188116992 - (15957693295247*z)/62208 + 
         ((-1437092259341*z^22)/1310367184918570598400 + 
           (40077812395513*z^23)/4549886058745036800 - 
           (905428592895556259*z^24)/30332573724966912000 + 
           (2690195943980822957*z^25)/46809527353344000 - 
           (3829544818663070791*z^26)/54177693696000 + 
           (1061613083775444289871*z^27)/18059231232000 - 
           (1418471188792527663803*z^28)/41803776000 + 
           (188768405594933406967*z^29)/13824000 - 
           (422008459684932751269*z^30)/112000 + (9532519729578978620247*
             z^31)/14000 - (63606350668561664965227*z^32)/875 + 
           (3045274315389094791279888*z^33)/875)*Cf[z]^8)*tS0[z] + 
       (-688662869/36 + ((944098836091*z^16)/10532143654502400 - 
           (10453581876607*z^17)/24379962163200 + (49006909216511*z^18)/
            56435097600 - (6116533311030467*z^19)/6270566400 + 
           (46495677823468289*z^20)/69672960 - (460947701283697721*z^21)/
            1612800 + (1681441886744279397*z^22)/22400 - 
           (1939475854302936003*z^23)/175 + (123517359617738345514*z^24)/175)*
          Cf[z]^6)*tS0[z]^2 + ((-31087807*z^10)/16796160 + 
         (9398476381*z^11)/1866240 - (273339851551*z^12)/51840 + 
         (322418338787*z^13)/120 - (3354298567398*z^14)/5 + 
         (329548940165664*z^15)/5)*Cf[z]^4*tS0[z]^3 + 
       ((203021*z^4)/18 - 10106915*z^5 + 2286051768*z^6)*Cf[z]^2*tS0[z]^4 + 
       (14305936756561/622080 + ((15398833606483231*z^24)/
            597779026822372558425292800 - (38284323210430613*z^25)/
            329463749350954893312000 + (2571320379130205557*z^26)/
            12812479141426023628800 - (113129003497443234659*z^27)/
            889755495932362752000 - (4407191175315442333531*z^28)/
            49430860885131264000 + (891593318154671143513*z^29)/
            3575727783936000 - (42711061933923499074389*z^30)/
            176579149824000 + (86437600056127646455999*z^31)/613122048000 - 
           (154171992513687744163633*z^32)/2838528000 + 
           (9873537288473505462609*z^33)/704000 - (263092992748600550151627*
             z^34)/112000 + (8921527922166298974170037*z^35)/38500 - 
           (98679421612941277058489394*z^36)/9625)*Cf[z]^9 + 
         ((10773180023*z^18)/7899107740876800 - (63931974644131*z^19)/
            7021429103001600 + (13882509514751411*z^20)/585119091916800 - 
           (90487749258948577*z^21)/2708884684800 + (120029269368377543*z^22)/
            4180377600 - (15332458819602103*z^23)/967680 + 
           (228296383865962471*z^24)/40320 - (508352962882106133*z^25)/400 + 
           (28572754530659769306*z^26)/175 - (1606336632158225795568*z^27)/
            175)*Cf[z]^7*tS0[z] + ((-102171709673*z^12)/1015831756800 + 
           (263004780197*z^13)/783820800 - (809867222249*z^14)/1814400 + 
           (11602209337483*z^15)/37800 - (97370798526317*z^16)/840 + 
           (4007206198436076*z^17)/175 - (324438647464693728*z^18)/175)*
          Cf[z]^5*tS0[z]^2 + ((7769059*z^6)/6480 - (303018583*z^7)/180 + 
           (3908233919*z^8)/5 - (598426607664*z^9)/5)*Cf[z]^3*tS0[z]^3 - 
         1271088*Cf[z]*tS0[z]^4)*tS1[z] + 
       (((-33433790165939*z^20)/873578123279047065600 + 
           (7079103672848563*z^21)/40443431633289216000 - 
           (11445034282926583*z^22)/32097961613721600 + 
           (6677092192139234519*z^23)/15603175784448000 - 
           (925986208122716933*z^24)/2751882854400 + 
           (20273694324612848849*z^25)/111476736000 - 
           (159466509466692256457*z^26)/2322432000 + 
           (96384333594986874421*z^27)/5376000 - (694777196911801423221*z^28)/
            224000 + (1122337825457001869277*z^29)/3500 - 
           (13108650629551751188458*z^30)/875)*Cf[z]^8 + 
         ((-1518071*z^14)/17414258688 + (328389257993*z^15)/338610585600 - 
           (4983292604557*z^16)/2351462400 + (36268315722721*z^17)/17418240 - 
           (221651768157721*z^18)/201600 + (2170335857649889*z^19)/6720 - 
           (4952331986680053*z^20)/100 + (107401623258965832*z^21)/35)*
          Cf[z]^6*tS0[z] + ((4718123*z^8)/186624 - (100312247*z^9)/2160 + 
           (1248344139*z^10)/40 - (45383548581*z^11)/5 + (4806020722608*z^12)/
            5)*Cf[z]^4*tS0[z]^2 + (-76120*z^2 + 28294848*z^3)*Cf[z]^2*
          tS0[z]^3)*tS1[z]^2 + (((13848563187493*z^16)/505542895416115200 - 
           (63807777958213*z^17)/585119091916800 + (412459380849023*z^18)/
            2167107747840 - (28593992217886363*z^19)/150493593600 + 
           (141567205337734337*z^20)/1194393600 - (228652175153408441*z^21)/
            4838400 + (1052540135515780733*z^22)/89600 - 
           (4655038698418829031*z^23)/2800 + (1434211859299673655*z^24)/14)*
          Cf[z]^7 + ((-3594241*z^10)/8398080 + (2096222411*z^11)/1866240 - 
           (182601610139*z^12)/155520 + (146313541421*z^13)/240 - 
           (1569552428007*z^14)/10 + (80027543099736*z^15)/5)*Cf[z]^5*
          tS0[z] + ((99295*z^4)/54 - 2099480*z^5 + 571224096*z^6)*Cf[z]^3*
          tS0[z]^2)*tS1[z]^3 + (((-115543846319*z^12)/12189981081600 + 
           (2153125872323*z^13)/75246796800 - (148842873259309*z^14)/
            4180377600 + (1358225914765477*z^15)/58060800 - 
           (1104860414719213*z^16)/129024 + (18549886213007571*z^17)/11200 - 
           (185131496671002621*z^18)/1400)*Cf[z]^6 + 
         ((456823*z^6)/3240 - (9049613*z^7)/45 + (1420918168*z^8)/15 - 
           (73575363456*z^9)/5)*Cf[z]^4*tS0[z] - 113280*Cf[z]^2*tS0[z]^2)*
        tS1[z]^4 + (((11047499*z^8)/8957952 - (232376479*z^9)/103680 + 
           (271502903*z^10)/180 - (8898361171*z^11)/20 + (242349115374*z^12)/
            5)*Cf[z]^5 + (-3200*z^2 + 1134720*z^3)*Cf[z]^3*tS0[z])*tS1[z]^5 + 
       ((26725*z^4)/1296 - (309875*z^5)/12 + 7360470*z^6)*Cf[z]^4*tS1[z]^6 - 
       700*Cf[z]^3*tS1[z]^7)
 
Ff[7] = -620980975021910427513900557/704996673073233300504453316608000 + 
     (25538652208114807021353725057*z)/1631936743225077084501049344000 - 
     (4962124795952256834813968479*z^2)/96862342309180738633728000 + 
     (701741748339810554885387467717*z^3)/8744517014023261126656000 - 
     (265821493726246330943560091633*z^4)/4048387506492250521600 + 
     (9443632331908977412511816287*z^5)/347083976894054400 - 
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           (42517608241*z^8)/1152 + (1494992341941*z^9)/128)*Cf[z]^11 - 
         (1742045*Cf[z]^9*tS0[z])/384)*tS1[z] + 
       ((-14362375*z^2)/6144 + (1446105655*z^3)/768)*Cf[z]^10*tS1[z]^2) + 
     S2[z]^12*(((-29960072230265*z^12)/23110532361879552 + 
         (106802333027689*z^13)/17832200896512 - (216217757030651*z^14)/
          20639121408 + (4970666668977455*z^15)/573308928 - 
         (1414099038562571*z^16)/442368 + (210484319961053*z^17)/1024 + 
         (7129833922166175*z^18)/64)*Cf[z]^12 + 
       ((-70493077*z^6)/143327232 - (9639065273*z^7)/1990656 + 
         (4641451469*z^8)/576 - (25420192521*z^9)/8)*Cf[z]^10*tS0[z] + 
       (1996765*Cf[z]^8*tS0[z]^2)/384 + 
       (((109035213805*z^8)/743008370688 - (1703030652185*z^9)/859963392 + 
           (5350822118681*z^10)/1327104 - (55503103760801*z^11)/18432 + 
           (100260339933273*z^12)/128)*Cf[z]^11 + 
         ((31233725*z^2)/13824 - (317035115*z^3)/192)*Cf[z]^9*tS0[z])*
        tS1[z] + ((33199523695*z^4)/71663616 - (122860832855*z^5)/165888 + 
         (116123492083*z^6)/384)*Cf[z]^10*tS1[z]^2 + 
       (133144165*Cf[z]^9*tS1[z]^3)/20736) + 
     S2[z]^11*(((-131236735739*z^14)/11555266180939776 - 
         (5219244913247*z^15)/46809527353344 + (2321385496761101*z^16)/
          4623163195392 - (127886421390663769*z^17)/160526499840 + 
         (38537089203776923*z^18)/61931520 - (17436845431275887*z^19)/71680 + 
         (671327646865577829*z^20)/17920 + (591246847005452451*z^21)/1120)*
        Cf[z]^12 + ((80481334805*z^8)/92876046336 - (685553077999*z^9)/
          429981696 + (240774839581*z^10)/331776 + (763755966793*z^11)/4608 - 
         (2159996889615*z^12)/16)*Cf[z]^10*tS0[z] + 
       ((-13283425*z^2)/6912 + (148927405*z^3)/96)*Cf[z]^8*tS0[z]^2 + 
       (((38050545253*z^10)/371504185344 - (133981747421*z^11)/644972544 + 
           (5207655648329*z^12)/95551488 + (17357381502259*z^13)/110592 - 
           (71607686386991*z^14)/512 + (1125880690680459*z^15)/32)*Cf[z]^11 + 
         ((-2249838145*z^4)/4478976 + (30427824185*z^5)/41472 - 
           (26129289301*z^6)/96)*Cf[z]^9*tS0[z])*tS1[z] + 
       (((-1978720817*z^6)/35831808 + (32799109691*z^7)/248832 - 
           (1970696193107*z^8)/18432 + (3785524832709*z^9)/128)*Cf[z]^10 - 
         (2543815*Cf[z]^8*tS0[z])/864)*tS1[z]^2 + 
       ((-26602025*z^2)/10368 + (47905985*z^3)/24)*Cf[z]^9*tS1[z]^3) + 
     S2[z]^10*(((8117275663894483*z^16)/838634998347885182976 - 
         (70294718015484989*z^17)/1941284718397882368 + 
         (2303256925238465881*z^18)/44937146259210240 - 
         (5777887439485989679*z^19)/208042343792640 - 
         (3318333405686133271*z^20)/481579499520 + (9387923829285196789*z^21)/
          557383680 - (5471023535926424293*z^22)/645120 + 
         (29678918181829030059*z^23)/17920 - (71131527158696824779*z^24)/
          1120)*Cf[z]^12 + ((-568229467703*z^10)/4458050224128 + 
         (23383967705797*z^11)/61917364224 - (607165086004549*z^12)/
          1433272320 + (78556789709591*z^13)/368640 - (307642700633731*z^14)/
          7680 - (63291226976433*z^15)/160)*Cf[z]^10*tS0[z] + 
       ((2207532905*z^4)/8957952 - (4650591905*z^5)/10368 + 
         (18867526447*z^6)/96)*Cf[z]^8*tS0[z]^2 + 
       (((-143067810477973*z^12)/10110857908322304 + (3038549202875875*z^13)/
            62412703137792 - (47080927698566471*z^14)/722369249280 + 
           (80098562465839811*z^15)/2006581248 - (61722959614175761*z^16)/
            7741440 - (41734454115046001*z^17)/17920 + 
           (1100144295804143061*z^18)/1120)*Cf[z]^11 + 
         ((12789636367*z^6)/214990848 - (202478371891*z^7)/1492992 + 
           (2849201724157*z^8)/27648 - (1683738683921*z^9)/64)*Cf[z]^9*
          tS0[z] + (10779785*Cf[z]^7*tS0[z]^2)/864)*tS1[z] + 
       (((788670350455*z^8)/185752092672 - (11763909863183*z^9)/859963392 + 
           (22190788319059*z^10)/1327104 - (170299105907495*z^11)/18432 + 
           (250621243055799*z^12)/128)*Cf[z]^10 + 
         ((73924825*z^2)/41472 - (652619705*z^3)/576)*Cf[z]^8*tS0[z])*
        tS1[z]^2 + ((1590173645*z^4)/3359232 - (179556910535*z^5)/248832 + 
         (20361370367*z^6)/72)*Cf[z]^9*tS1[z]^3 + (29181145*Cf[z]^8*tS1[z]^4)/
        10368) + S2[z]^9*(((-17401924748200819*z^18)/
          20127239960349244391424 + (6079970301681658873*z^19)/
          1397724997246475304960 - (20374814202205803301*z^20)/
          2156983020442091520 + (24488089055061359707*z^21)/
          2139864107581440 - (287423376915792906013*z^22)/34673723965440 + 
         (22324472288100616561*z^23)/6370099200 - (26738573066941955125*z^24)/
          37158912 - (156377610332936581*z^25)/430080 + 
         (1027829362398116702373*z^26)/44800 - (4459182719113498734531*z^27)/
          2800)*Cf[z]^12 + ((99881004428363*z^12)/13481143877763072 - 
         (979001298273647*z^13)/31206351568896 + (3816015893582341*z^14)/
          72236924928 - (4197678911586761*z^15)/92897280 + 
         (7880458972990283*z^16)/387072 - (1950455419203617*z^17)/448 + 
         (10009538630068041*z^18)/35)*Cf[z]^10*tS0[z] + 
       ((330336175*z^6)/53747712 + (25693471895*z^7)/1492992 - 
         (49437154975*z^8)/1536 + (394734644351*z^9)/32)*Cf[z]^8*tS0[z]^2 - 
       (44992345*Cf[z]^6*tS0[z]^3)/1296 + 
       (((466732806617759*z^14)/485321179599470592 - 
           (289810235052883357*z^15)/67405719388815360 + 
           (984062315153987*z^16)/122305904640 - (47955238930994867*z^17)/
            5945425920 + (7606192976408139451*z^18)/1672151040 - 
           (82324677822453509*z^19)/61440 + (2489572917352506597*z^20)/
            17920 + (2291576558107595841*z^21)/224)*Cf[z]^11 + 
         ((-134134292305*z^8)/61917364224 + (2054828830627*z^9)/214990848 - 
           (2192115758503*z^10)/165888 + (1933210506215*z^11)/256 - 
           (12561188832183*z^12)/8)*Cf[z]^9*tS0[z] + 
         ((-50929475*z^2)/5184 + (403188805*z^3)/72)*Cf[z]^7*tS0[z]^2)*
        tS1[z] + (((-760130963629*z^10)/4458050224128 + (12175174670603*z^11)/
            15479341056 - (1323801389493107*z^12)/955514880 + 
           (98299061278511*z^13)/81920 - (1597932251363057*z^14)/3072 + 
           (5854608751962735*z^15)/64)*Cf[z]^10 + 
         ((-4163658715*z^4)/5971968 + (32781471715*z^5)/41472 - 
           (22372538629*z^6)/96)*Cf[z]^8*tS0[z])*tS1[z]^2 + 
       (((-35913525919*z^6)/644972544 + (2196205070383*z^7)/17915904 - 
           (5139784088489*z^8)/55296 + (9341035708619*z^9)/384)*Cf[z]^9 - 
         (1462105*Cf[z]^7*tS0[z])/1728)*tS1[z]^3 + 
       ((-289111525*z^2)/248832 + (2844092645*z^3)/3456)*Cf[z]^8*tS1[z]^4) + 
     S2[z]^8*(((46864591045675931*z^20)/1610179196827939551313920 - 
         (1055034953665334401*z^21)/5590899988985901219840 + 
         (6924925158527093141*z^22)/12941898122652549120 - 
         (20919296856967495745*z^23)/23966478004912128 + 
         (626448416292423125243*z^24)/693474479308800 - 
         (1972658928489991141373*z^25)/3210529996800 + 
         (203424534883994736671*z^26)/743178240 - (62670656819189567093*z^27)/
          819200 + (2163879658293117021477*z^28)/179200 - 
         (19161009527698716760863*z^29)/22400 + (7819730144801388884493*z^30)/
          350)*Cf[z]^12 + ((2843857553827*z^14)/8987429251842048 - 
         (73540653342509*z^15)/138694895861760 - (4750008159049861*z^16)/
          11557907988480 + (27095762502335845*z^17)/16052649984 - 
         (17549814871469021*z^18)/10321920 + (24928777621622767*z^19)/30720 - 
         (1653563033007396831*z^20)/8960 + (1185878666176893117*z^21)/80)*
        Cf[z]^10*tS0[z] + ((-198221405795*z^8)/30958682112 + 
         (144071516179*z^9)/11943936 - (1204774544443*z^10)/165888 + 
         (409427206003*z^11)/384 + (854283349485*z^12)/4)*Cf[z]^8*tS0[z]^2 + 
       ((10777675*z^2)/864 - (26875715*z^3)/3)*Cf[z]^6*tS0[z]^3 + 
       (((-2961169661640311*z^16)/155302777471830589440 + 
           (5285225575689817*z^17)/38517553936465920 - 
           (946484671432066261*z^18)/2496508125511680 + 
           (6410213709272115349*z^19)/11557907988480 - 
           (9142991045460410819*z^20)/19110297600 + 
           (4283320206126660271*z^21)/17203200 - (381740637338559363*z^22)/
            5120 + (69214085280806313771*z^23)/6400 - 
           (1048923432643027429521*z^24)/2800)*Cf[z]^11 + 
         ((-21930891077*z^10)/41278242816 + (1793544225919*z^11)/1719926784 - 
           (1603268691223*z^12)/2949120 - (10299665417479*z^13)/69120 + 
           (54396053445259*z^14)/256 - (252856300722381*z^15)/5)*Cf[z]^9*
          tS0[z] + ((4508724655*z^4)/1492992 - (4072424435*z^5)/1152 + 
           (8272389283*z^6)/8)*Cf[z]^7*tS0[z]^2)*tS1[z] + 
       (((-65672756620073*z^12)/7489524376535040 + (47359372263559*z^13)/
            4334215495680 + (539576579904811*z^14)/26754416640 - 
           (58852707571781323*z^15)/1114767360 + (29499195634633243*z^16)/
            645120 - (330332833011216831*z^17)/17920 + 
           (1661015122550372439*z^18)/560)*Cf[z]^10 + 
         ((746619253*z^6)/3981312 - (102019271903*z^7)/331776 + 
           (522785255945*z^8)/3072 - (2053451968425*z^9)/64)*Cf[z]^8*tS0[z] - 
         (13108715*Cf[z]^6*tS0[z]^2)/288)*tS1[z]^2 + 
       (((113760802835*z^8)/20639121408 - (1053767981557*z^9)/71663616 + 
           (10231352288315*z^10)/663552 - (7720225772349*z^11)/1024 + 
           (464776053796809*z^12)/320)*Cf[z]^9 + 
         ((-2904725*z^2)/1152 + (3846325*z^3)/4)*Cf[z]^7*tS0[z])*tS1[z]^3 + 
       ((796172525*z^4)/3981312 - (3956582705*z^5)/13824 + 
         (6643122301*z^6)/64)*Cf[z]^8*tS1[z]^4 - (336665*Cf[z]^7*tS1[z]^5)/
        384) + S2[z]^7*(((27955838586955049*z^22)/
          19322150361935274615767040 - (249334890239634841*z^23)/
          38337599924474751221760 + (902617026225749839*z^24)/
          79869999842655731712 - (39276347590687185637*z^25)/
          5392457551105228800 - (237192263644468186153*z^26)/
          49930162510233600 + (3081381053223567952021*z^27)/231158159769600 - 
         (3280225853320642843847*z^28)/267544166400 + 
         (1590716641385787267053*z^29)/247726080 - 
         (2936751711208811046359*z^30)/1433600 + 
         (68792587618447311642963*z^31)/179200 - 
         (209739395267652511043829*z^32)/5600 + 
         (1073139837388570896514713*z^33)/700)*Cf[z]^12 + 
       ((-22667444290106663*z^16)/232954166207745884160 + 
         (4337781136512007*z^17)/11234286564802560 - (67670739258850453*z^18)/
          104021171896320 + (513646412608889*z^19)/859963392 - 
         (1321157418808453007*z^20)/4180377600 + (3527454078963329981*z^21)/
          38707200 - (464272746834660257*z^22)/44800 - 
         (1046415923481836781*z^23)/1400 + (128286411632889215841*z^24)/700)*
        Cf[z]^10*tS0[z] + ((85116060383*z^10)/92876046336 - 
         (3252252949183*z^11)/1289945088 + (16195522510559*z^12)/5971968 - 
         (38580914973337*z^13)/27648 + (104624401598299*z^14)/320 - 
         (237527536404213*z^15)/10)*Cf[z]^8*tS0[z]^2 + 
       ((-94636615*z^4)/62208 + (2062767085*z^5)/864 - (3696742747*z^6)/4)*
        Cf[z]^6*tS0[z]^3 + 
       (((-6496323491884637*z^18)/1863633329661967073280 + 
           (362189899078826837*z^19)/25883796245305098240 - 
           (6092413937892139513*z^20)/269622877555261440 + 
           (106219552612195684147*z^21)/6241270313779200 - 
           (4577997464321189431*z^22)/1605264998400 - 
           (176242359087207050143*z^23)/33443020800 + 
           (178089150130886692151*z^24)/38707200 - 
           (12091482222941351793*z^25)/7168 + (3224489085707508880047*z^26)/
            11200 - (393672731630568179634*z^27)/25)*Cf[z]^11 + 
         ((617352108305341*z^12)/5617143282401280 - (40695363677489*z^13)/
            120394874880 + (25394056852765487*z^14)/60197437440 - 
           (9329021106973669*z^15)/34836480 + (7013671757948747*z^16)/80640 - 
           (6606744313703487*z^17)/560 + (2510157656430027*z^18)/28)*Cf[z]^9*
          tS0[z] + ((-2144154937*z^6)/4478976 + (26845994491*z^7)/31104 - 
           (149519978033*z^8)/288 + 104117759205*z^9)*Cf[z]^7*tS0[z]^2 + 
         (127360*Cf[z]^5*tS0[z]^3)/3)*tS1[z] + 
       (((6731740501487*z^14)/2567836929097728 - (1266010474121371*z^15)/
            138694895861760 + (16145815168266049*z^16)/1238347284480 - 
           (379869697026977299*z^17)/40131624960 + (72353227063782377*z^18)/
            22118400 - (90251974708128273*z^19)/716800 - 
           (5662023261911605053*z^20)/22400 + (157290220305020867571*z^21)/
            2800)*Cf[z]^10 + ((-344125575985*z^8)/10319560704 + 
           (72451748491*z^9)/995328 - (2480927120197*z^10)/41472 + 
           (1055494760069*z^11)/48 - (122627740464171*z^12)/40)*Cf[z]^8*
          tS0[z] + ((22268075*z^2)/864 - (181589695*z^3)/12)*Cf[z]^6*
          tS0[z]^2)*tS1[z]^2 + (((-153404886559*z^10)/247669456896 + 
           (6179897488631*z^11)/3439853568 - (155692487869457*z^12)/
            71663616 + (254847958977923*z^13)/184320 - (598132508965829*z^14)/
            1280 + (676285252921683*z^15)/10)*Cf[z]^9 + 
         ((2391051875*z^4)/1492992 - (454873915*z^5)/288 + 
           (6003679321*z^6)/16)*Cf[z]^7*tS0[z])*tS1[z]^3 + 
       (((-356266609*z^6)/47775744 + (17364660679*z^7)/663552 - 
           (81672944665*z^8)/3456 + (208905631579*z^9)/32)*Cf[z]^8 - 
         (1715125*Cf[z]^6*tS0[z])/576)*tS1[z]^4 + 
       ((1961485*z^2)/4608 - (16763253*z^3)/64)*Cf[z]^7*tS1[z]^5) + 
     S2[z]^6*(((-2891285055387188867*z^24)/12520753434534057951017041920 + 
         (20348671473625151137*z^25)/14491612771451455961825280 - 
         (7414389346977889831*z^26)/1916879996223737561088 + 
         (49387383143026629228527*z^27)/7765138873591529472000 - 
         (248730210872420052014651*z^28)/35949717007368192000 + 
         (1300434657282652865821343*z^29)/249650812551168000 - 
         (227388898693819269061403*z^30)/82556485632000 + 
         (45231494464154665019851*z^31)/44590694400 - 
         (389699706129014164591727*z^32)/1548288000 + 
         (281451903665732746156939*z^33)/7168000 - 
         (43078471522480540289601*z^34)/12800 + 
         (1649301383431830116756637*z^35)/14000 + 
         (1544474982247294601092383*z^36)/1750)*Cf[z]^12 + 
       ((11083689478445303*z^18)/1397724997246475304960 - 
         (73219254842560429*z^19)/1941284718397882368 + 
         (1019989324844872499*z^20)/12839184645488640 - 
         (25190035046392330553*z^21)/260052929740800 + 
         (60145903304042381333*z^22)/802632499200 - 
         (3767458649952949073*z^23)/99532800 + (79627976892412023247*z^24)/
          6451200 - (220658813525130558747*z^25)/89600 + 
         (744531373841401419633*z^26)/2800 - (4051308787006212938529*z^27)/
          350)*Cf[z]^10*tS0[z] + ((-4620453999497*z^12)/100306130042880 + 
         (158840203218151*z^13)/928760463360 - (1124754782494159*z^14)/
          4299816960 + (782344061770109*z^15)/3732480 - 
         (352838840417861*z^16)/3840 + (102470175829048*z^17)/5 - 
         1734067124576442*z^18)*Cf[z]^8*tS0[z]^2 + 
       ((-29955623*z^6)/373248 + (233934287*z^7)/20736 + 
         (135678425083*z^8)/1728 - (140526188575*z^9)/4)*Cf[z]^6*tS0[z]^3 + 
       260265*Cf[z]^4*tS0[z]^4 + 
       (((88841849302885423*z^20)/201272399603492443914240 - 
           (633414564817628099*z^21)/279544999449295060992 + 
           (33481770589368233359*z^22)/6470949061326274560 - 
           (1547126699170429948583*z^23)/224685731296051200 + 
           (1743743016360090475577*z^24)/297203348275200 - 
           (176665056410138613097*z^25)/53508833280 + 
           (13538589804437811708457*z^26)/11147673600 - 
           (507677014960451541563*z^27)/1843200 + (5893029474789228854409*
             z^28)/179200 - (1610677172382652709523*z^29)/1400 - 
           (26524991466715088045277*z^30)/700)*Cf[z]^11 + 
         ((-65775909110999*z^14)/6740571938881536 + (34625462413017181*z^15)/
            936190547066880 - (173048209214542499*z^16)/2889476997120 + 
           (1072505370474825523*z^17)/20065812480 - (311750142042304013*z^18)/
            11059200 + (4664456057357465603*z^19)/537600 - 
           (15763156932487363713*z^20)/11200 + (61028244739788700383*z^21)/
            700)*Cf[z]^9*tS0[z] + ((38849256475*z^8)/1289945088 - 
           (733835515807*z^9)/8957952 + (3384292429549*z^10)/41472 - 
           (3409916340227*z^11)/96 + (57245977067031*z^12)/10)*Cf[z]^7*
          tS0[z]^2 + ((1243075*z^2)/36 - 10853590*z^3)*Cf[z]^5*tS0[z]^3)*
        tS1[z] + (((-11279699624885143*z^16)/38825694367957647360 + 
           (82372913789254679*z^17)/67405719388815360 - (20190840697589*z^18)/
            9029615616 + (8355157965985913489*z^19)/3611846246400 - 
           (98107894975825851803*z^20)/66886041600 + 
           (88777106724301308241*z^21)/154828800 - 
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     S2[z]^4*(((-12726411789260251721*z^28)/
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           (17489418209488801*z^15)/8709120 - (113260813962089551*z^16)/
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       (((1053615054420419*z^16)/6066514744993382400 - (900762314939539*z^17)/
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           (3124008300756825043*z^19)/1805923123200 + 
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           (33376157275577252257*z^21)/58060800 + (4292808812238119607*z^22)/
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           (8283793782457*z^14)/32 + (541473113388969*z^15)/10)*Cf[z]^7*
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          Cf[z]^5*tS0[z]^2)*tS1[z]^3 + 
       (((-70512220085291*z^12)/1170238183833600 + (57596959791893*z^13)/
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           (7611018000136511*z^15)/43545600 - (52117292578473967*z^16)/
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           (3066471660885818553*z^18)/2800)*Cf[z]^8 + 
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         202755*Cf[z]^4*tS0[z]^2)*tS1[z]^4 + 
       (((2092340381*z^8)/214990848 - (44483329*z^9)/2304 + 
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       ((-10191035*z^4)/31104 + (12848345*z^5)/48 - 51158058*z^6)*Cf[z]^6*
        tS1[z]^6 - (6110*Cf[z]^5*tS1[z]^7)/3) + 
     S2[z]^3*(((-183872371659738252097*z^30)/
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         (7250400681013932316972329748671*z^44)/269500 + 
         (11667490776046585673752168307574*z^45)/13475)*Cf[z]^12 + 
       ((777910345482853223*z^24)/358667416093423535055175680 - 
         (1128580703002124129081*z^25)/83024864836440633114624000 + 
         (5950252621539908433439*z^26)/153749749697112283545600 - 
         (3275334610289668254023*z^27)/49430860885131264000 + 
         (7517107300838296049650651*z^28)/98861721770262528000 - 
         (4701217385747707579184747*z^29)/76282192723968000 + 
         (9582248235764033711662919*z^30)/264868724736000 - 
         (904658834110111742785691*z^31)/58392576000 + 
         (757156991945594119710969*z^32)/157696000 - 
         (2955601807438346428945467*z^33)/2816000 + 
         (8599055069443461444923373*z^34)/56000 - 
         (1039673977294682428083371043*z^35)/77000 + 
         (5198954789353914842729992974*z^36)/9625)*Cf[z]^10*tS0[z] + 
       ((-10158962573461*z^18)/202217158166446080 + (4799306843316187*z^19)/
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         (5865722146446055759*z^21)/10835538739200 - 
         (20561264192355859919*z^22)/50164531200 + 
         (107971817254202273809*z^23)/522547200 - 
         (334897125119069431033*z^24)/4838400 + (1659677716960869791*z^25)/
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         (3493917818202303937512*z^27)/35)*Cf[z]^8*tS0[z]^2 + 
       ((627039848929*z^12)/2437996216320 - (8924762480021*z^13)/
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         (1089068074813067*z^15)/1451520 + (74192773262156533*z^16)/241920 - 
         (18699338892667033*z^17)/280 + (208496477095365411*z^18)/35)*Cf[z]^6*
        tS0[z]^3 + ((1710911*z^6)/2304 - (23926001*z^7)/32 + 
         (260519037*z^8)/2 + 33289667064*z^9)*Cf[z]^4*tS0[z]^4 - 
       2468340*Cf[z]^2*tS0[z]^5 + 
       (((10856090837159624387*z^26)/215200449656054121033105408000 - 
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           (9340560065552153204535383547*z^38)/53900 - 
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           (3810991143532109137*z^22)/74895243765350400 + 
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           (18332529932770694814721*z^25)/501645312000 - 
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           (2837062313186997044339*z^27)/672000 - (171558518487623458391727*
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           (267179730139753547*z^17)/783820800 + (829060158657964607*z^18)/
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           (590825480118303861*z^20)/70 - (102454902527602261662*z^21)/175)*
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           (2868485491374670907623*z^27)/3852635996160 - 
           (180598935712381587943057*z^28)/501645312000 + 
           (1612867332199140935899*z^29)/13271040 - 
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           (116224966972146277914021*z^31)/28000 - 
           (712538586121486279923891*z^32)/2000 + (11808959131983523085911773*
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           (68996310465689827*z^18)/3250661621760 - 
           (6339698866684697183*z^19)/300987187200 + 
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           (127644509945420787159*z^23)/800 + (3181102846435242461241*z^24)/
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           (330149485843*z^11)/3732480 - (13630958095861*z^12)/155520 + 
           (372198906580009*z^13)/8640 - (209499199105581*z^14)/20 + 
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         ((16890005*z^4)/216 - (242558335*z^5)/3 + 20554438464*z^6)*Cf[z]^4*
          tS0[z]^3)*tS1[z]^2 + 
       (((12713361965526629*z^18)/727981769399205888000 - 
           (404054717373789071*z^19)/5055428954161152000 + 
           (8904277075449777577*z^20)/56171432824012800 - 
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           (315332451271381427479*z^25)/112000 + (3381604088800521133521*
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         ((-12329582444321*z^12)/14627977297920 + (5170369499683*z^13)/
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           (10577756351420729*z^15)/5806080 - (67739408143995121*z^16)/
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           (1164647683623306951*z^18)/140)*Cf[z]^7*tS0[z] + 
         ((33834197*z^6)/6480 - (7910343509*z^7)/1080 + (151647954893*z^8)/
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         1696240*Cf[z]^3*tS0[z]^3)*tS1[z]^3 + 
       (((-614573322709*z^14)/401224520171520 + (3399634705902997*z^15)/
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           (2987176062968563*z^17)/1433272320 - (13499979911768317*z^18)/
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           (275164532786455041*z^20)/2800 - (571478373228142125*z^21)/56)*
          Cf[z]^8 + ((3494486297*z^8)/53747712 - (397305343061*z^9)/3732480 + 
           (710467379299*z^10)/11520 - (3464397306133*z^11)/240 + 
           (20953743649371*z^12)/20)*Cf[z]^6*tS0[z] + 
         (-66700*z^2 + 18121680*z^3)*Cf[z]^4*tS0[z]^2)*tS1[z]^4 + 
       (((-3702290233*z^10)/6449725440 + (569745372917*z^11)/358318080 - 
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         ((17922245*z^4)/5184 - (140693605*z^5)/36 + 1055657436*z^6)*Cf[z]^5*
          tS0[z])*tS1[z]^5 + (((172329737*z^6)/1866240 - (27362050751*z^7)/
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          Cf[z]^6 - (156985*Cf[z]^4*tS0[z])/3)*tS1[z]^6 + 
       ((-45325*z^2)/72 + 165125*z^3)*Cf[z]^5*tS1[z]^7) + 
     S2[z]^2*(-51604371995354168813/154506756096 + 
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         (900378722255718160170523397*z^35)/
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         (48147772465576001099604623*z^32)/57211644542976000 + 
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         (228951659261001811623006699*z^38)/67375 - 
         (4283008454250279161156783376*z^39)/13475)*Cf[z]^10*tS0[z] + 
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         (92351379992263775051*z^23)/7801587892224000 - 
         (236011972038115932649*z^24)/17336861982720 + 
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         (55914073858952647560963*z^29)/1750 - (1407666564798943317756354*
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         (401147915101669*z^15)/2708884684800 + (18162714064261789*z^16)/
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         (87033122976354349*z^18)/806400 - (108620386791739679*z^19)/3360 + 
         (527032935252472923*z^20)/100 - (12663475363091439036*z^21)/35)*
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         (5808731919*z^10)/8 + (1161321890679*z^11)/5 - 
         (136261492077168*z^12)/5)*Cf[z]^4*tS0[z]^4 + 
       (1234170*z^2 - 604249632*z^3)*Cf[z]^2*tS0[z]^5 + 
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           (3368092030236603051279314093*z^36)/82403603251200 + 
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           (155108486105672726647149091533*z^40)/2156000 + 
           (2889098421292045437324795447867*z^41)/539000 - 
           (2486370645153576202084759960164*z^42)/13475)*Cf[z]^11 + 
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           (1756310848616754431*z^23)/1941284718397882368000 + 
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           (19343916224134853329*z^25)/5944066965504000 + 
           (662393100706945103009*z^26)/208042343792640 - 
           (78832707331243966188161*z^27)/36118462464000 + 
           (536868556970869819047343*z^28)/501645312000 - 
           (62255554580905295548103*z^29)/165888000 + 
           (77409985397891713487*z^30)/840 - (52746912608079194408601*z^31)/
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           (8159814889530570273278988*z^33)/125)*Cf[z]^9*tS0[z] + 
         ((-56108230945157*z^16)/42128574618009600 + (868176697429453*z^17)/
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           (38262900861696949*z^19)/6270566400 - (15364420070265534671*z^20)/
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           (4481743091622074459*z^22)/11200 + (87300457435790036433*z^23)/
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           (22510612340352*z^14)/5 + (1713747443528592*z^15)/5)*Cf[z]^5*
          tS0[z]^3 + ((1235355*z^4)/8 - 130288635*z^5 + 26055573912*z^6)*
          Cf[z]^3*tS0[z]^4)*tS1[z] + 
       (((12202302043242851803*z^24)/3487044323130506590814208000 - 
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           (9655991046628204154657131*z^28)/76892450265759744000 - 
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           (223556390621788039662758503*z^30)/3708162146304000 - 
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           (107055857629864041946351061*z^32)/13246464000 - 
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           (102556025792794478627734941*z^34)/392000 - 
           (24947286595176360785023235079*z^35)/1078000 + 
           (62709894334359929483744236569*z^36)/67375)*Cf[z]^10 + 
         ((-3364375814937947*z^18)/20221715816644608000 + 
           (53082543768177059*z^19)/70214291030016000 - 
           (1784676395579414263*z^20)/1170238183833600 + 
           (27742762285759845667*z^21)/15479341056000 - 
           (113007471959076409061*z^22)/83607552000 + 
           (4723073274017990497201*z^23)/6967296000 - 
           (1561265981365930546753*z^24)/6912000 + 
           (2696850102814537578561*z^25)/56000 - (41664486982473350373789*
             z^26)/7000 + (283717168700904885522546*z^27)/875)*Cf[z]^8*
          tS0[z] + ((3235367548249*z^12)/2031663513600 - 
           (15249906285167*z^13)/3135283200 + (2175986610080987*z^14)/
            348364800 - (6931132383412217*z^15)/1612800 + 
           (268382104387709519*z^16)/161280 - (959239824880529649*z^17)/
            2800 + (10218358069723892079*z^18)/350)*Cf[z]^6*tS0[z]^2 + 
         ((-1454407*z^6)/864 + (68470681*z^7)/16 - (11841167801*z^8)/4 + 
           616754663964*z^9)*Cf[z]^4*tS0[z]^3 + 2954880*Cf[z]^2*tS0[z]^4)*
        tS1[z]^2 + (((-3550248627762029*z^20)/1747156246558094131200 + 
           (18350116737235981*z^21)/1733289927140966400 - 
           (5519750919332383919*z^22)/224685731296051200 + 
           (104422858167195797339*z^23)/3120635156889600 - 
           (571004055792074455391*z^24)/19263179980800 + 
           (3581187812754720682217*z^25)/200658124800 - 
           (429395146864548786359*z^26)/58060800 + 
           (426343985941895566199*z^27)/204800 - (34100974528250938827579*
             z^28)/89600 + (228123458987121570867831*z^29)/5600 - 
           (676022640454365907971123*z^30)/350)*Cf[z]^9 + 
         ((4477258062397*z^14)/58511909191680 - (4389117270479563*z^15)/
            16253308108800 + (183296142940889231*z^16)/451480780800 - 
           (88029463529351857*z^17)/261273600 + (322452662340704251*z^18)/
            1935360 - (15700652697786839*z^19)/320 + 
           (22291099996941280179*z^20)/2800 - (95997632685425154171*z^21)/
            175)*Cf[z]^7*tS0[z] + ((-1350288469*z^8)/2239488 + 
           (62725531151*z^9)/51840 - (1298496448309*z^10)/1440 + 
           (5912230327063*z^11)/20 - 35927326730520*z^12)*Cf[z]^5*tS0[z]^2 + 
         (992600*z^2 - 475574400*z^3)*Cf[z]^3*tS0[z]^3)*tS1[z]^3 + 
       (((15303449825999*z^16)/26962287755526144 - (429610889184947*z^17)/
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           (2372370840004586951*z^19)/601974374400 + 
           (26701777249694123029*z^20)/11147673600 - 
           (35634340271093766971*z^21)/38707200 + (9789999156207680307*z^22)/
            44800 - (164047374581010676983*z^23)/5600 + 
           (1189380574604513691909*z^24)/700)*Cf[z]^8 + 
         ((-802171501*z^10)/53747712 + (35630865809*z^11)/995328 - 
           (21117414744137*z^12)/622080 + (61062212938987*z^13)/3840 - 
           (588269516694783*z^14)/160 + (670673256105483*z^15)/2)*Cf[z]^6*
          tS0[z] + ((3049075*z^4)/54 - 50126780*z^5 + 10897270416*z^6)*
          Cf[z]^4*tS0[z]^2)*tS1[z]^4 + 
       (((-40024884787*z^12)/812665405440 + (983284432279*z^13)/7524679680 - 
           (38813888689609*z^14)/278691840 + (877722854247763*z^15)/
            11612160 - (1550403475848663*z^16)/71680 + 
           (1333023824239335*z^17)/448 - (38693212463121147*z^18)/280)*
          Cf[z]^7 + ((245272*z^6)/405 - (1976919359*z^7)/2880 + 
           (57432223181*z^8)/240 - (120335524497*z^9)/5)*Cf[z]^5*tS0[z] + 
         310560*Cf[z]^3*tS0[z]^2)*tS1[z]^5 + 
       (((-53270347*z^8)/8957952 + (16137071599*z^9)/1244160 - 
           (119049014881*z^10)/11520 + (71546553073*z^11)/20 - 
           (4548326441949*z^12)/10)*Cf[z]^6 + ((219625*z^2)/6 - 17169720*z^3)*
          Cf[z]^4*tS0[z])*tS1[z]^6 + ((538825*z^4)/864 - (3298375*z^5)/6 + 
         118977840*z^6)*Cf[z]^5*tS1[z]^7 + (4575*Cf[z]^4*tS1[z]^8)/2) + 
     S2[z]*(-32884317613896893608533053/728709751168605093888000 + 
       (8194901429272528603391107*z)/37485069504557875200 - 
       (2671582984502023926765785*z^2)/10412519306821632 + 
       (5576760379692171681000049*z^3)/51649401323520 + 
       ((-16324721891946638029*z^34)/1336577006888828865760945734691061760 + 
         (171764863591940360776883*z^35)/
          2165749779680972699149680588619776000 - 
         (1170279783645210475084094263*z^36)/
          6497249339042918097449041765859328000 - 
         (7899803929147552211031607*z^37)/
          5013309675187436803587223584768000 + (59992905706636864466935601*
           z^38)/60285109129238056801193164800 - 
         (918773836457042222581186228567*z^39)/
          322357875204953498173046784000 + (142516780997719269046621907921*
           z^40)/30526313939863020660326400 - 
         (8228887292069578055328355706713*z^41)/1554580802493024200294400 + 
         (72579015463534773123511407497*z^42)/16357121238352527360 - 
         (78669757759051866168586834503833*z^43)/27766718151524352000 + 
         (2039564304730160094373378667669*z^44)/1460791148544000 - 
         (9898241623385243291204362045741*z^45)/18598035456000 + 
         (5366876837585650929639781308353*z^46)/34440806400 - 
         (25671715474773878665224879807*z^47)/745472 + 
         (623596098136568040082093039837263*z^48)/112112000 - 
         (8689437300837790537081496374222791*z^49)/14014000 + 
         (37367536997481862609571642198794386*z^50)/875875 - 
         (6836896962009548634917698655194152*z^51)/5005)*Cf[z]^12 + 
       (48470419132965226883/2002407559004160 - (47886588621746138251*z)/
          927040536576 + (16927107818235832531*z^2)/536481792 + 
         ((-46876394922036787*z^28)/62766797816349118634655744000 + 
           (4998493358295625180063*z^29)/502134382530792949077245952000 - 
           (233018293239671985987463*z^30)/4649392430840675454418944000 + 
           (18082474477038187932943063*z^31)/129149789745574318178304000 - 
           (258395433448576990250306827*z^32)/1024998331314081890304000 + 
           (2619631845435963795872279629*z^33)/8304384628702052352000 - 
           (10996742809976483102531148191*z^34)/38446225132879872000 + 
           (261877127585494625570137403*z^35)/1362182012928000 - 
           (29885193620486428444448069713*z^36)/309013512192000 + 
           (20642957581632692961266053*z^37)/567705600 - 
           (477110410765693037540358001*z^38)/47308800 + 
           (3143739213864074803393433781*z^39)/1568000 - 
           (233310423180625662762440430417*z^40)/862400 + 
           (2992668391342564421268363424749*z^41)/134750 - 
           (11289802601331037025755701948684*z^42)/13475)*Cf[z]^10)*tS0[z] + 
       (-508740385480591/62705664 + (845757744648091*z)/103680 + 
         ((3616915377895469*z^22)/26207343698371411968000 - 
           (707408222423191379*z^23)/727981769399205888000 + 
           (20179269340551814889*z^24)/6740571938881536000 - 
           (752799169742612704921*z^25)/140428582060032000 + 
           (32138014495808790331*z^26)/5159780352000 - 
           (17874341156450293310143*z^27)/3611846246400 + 
           (138053273555264640557609*z^28)/50164531200 - 
           (623457678709806802715099*z^29)/580608000 + 
           (27716137051242253752161*z^30)/96000 - (357227928431912857700511*
             z^31)/7000 + (1870934682028873430799027*z^32)/350 - 
           (220243785234425895919518648*z^33)/875)*Cf[z]^8)*tS0[z]^2 + 
       (40631109271/72 + ((-105333344679893*z^16)/21064287309004800 + 
           (10523136639787*z^17)/451480780800 - (2607486604311041*z^18)/
            56435097600 + (17771562388587149*z^19)/348364800 - 
           (1199326618245768947*z^20)/34836480 + (1411420872699680215*z^21)/
            96768 - (1701588260042576585*z^22)/448 + 
           (97477924034701974222*z^23)/175 - (6175015247969379318564*z^24)/
            175)*Cf[z]^6)*tS0[z]^3 + ((28283257*z^10)/414720 - 
         (8495680291*z^11)/46080 + (738378955907*z^12)/3840 - 
         (1564211787351*z^13)/16 + 24385505980995*z^14 - 
         (11980611451041552*z^15)/5)*Cf[z]^4*tS0[z]^4 + 
       (-315399*z^4 + 282624930*z^5 - 63926056656*z^6)*Cf[z]^2*tS0[z]^5 + 
       (19431243146808080609/4256818790400 - (4539527046058586299*z)/
          689762304 + ((109959084008445416341*z^30)/
            2255989353834346561614250613145600 - (503535433058580617159*z^31)/
            1566659273496074001121007370240 + (23980243213133507254616917*
             z^32)/26110987891601233352016789504000 - 
           (15922373983716710271281977*z^33)/10989473018350687437717504000 + 
           (937410606954539797306251721*z^34)/746198785196651616141312000 - 
           (369221551578688655094326971*z^35)/1243664641994419360235520 - 
           (15920115294039727918268245321*z^36)/23133642894241431552000 + 
           (174145350860388409036198262509*z^37)/166600308909146112000 - 
           (157479568201040288766235042963*z^38)/192824431607808000 + 
           (20396466140476056085161845669*z^39)/47823519744000 - 
           (163633947355358803586865328789*z^40)/1033224192000 + 
           (15175445428474488149957459337*z^41)/358758400 - 
           (255907609779164274714909531123*z^42)/32032000 + 
           (5180768742336057001725614418771*z^43)/5096000 - 
           (137346205955506722318738068619273*z^44)/1751750 + 
           (69416478399091321863099582339852*z^45)/25025)*Cf[z]^11 + 
         (-24429280930861/20736 + ((671923552084310717*z^24)/
              1162348107710168863604736000 - (87940825358675139761*z^25)/
              8071861859098394886144000 + (11576937243105068260291*z^26)/
              224218384974955413504000 - (15291799894861763462713*z^27)/
              124565769430530785280 + (30903044277132119713954283*z^28)/
              173008013097959424000 - (17394785064147415155620479*z^29)/
              100120377950208000 + (43750887866492819123359103*z^30)/
              370816214630400 - (366806351005753748644488797*z^31)/
              6437781504000 + (582835864812724534296801983*z^32)/
              29804544000 - (16124928672192867286512653*z^33)/3449600 + 
             (58119608318511625260993099*z^34)/78400 - 
             (9463002552868924073165871501*z^35)/134750 + 
             (202917265758288288960800435028*z^36)/67375)*Cf[z]^9)*tS0[z] + 
         ((-540849497223407*z^18)/2527714477080576000 + 
           (5959484246281843*z^19)/5015306502144000 - 
           (90647568479662561*z^20)/32506616217600 + 
           (4147279884989431457*z^21)/1128701952000 - 
           (31565929960009936991*z^22)/10450944000 + 
           (1406925806621321714461*z^23)/870912000 - 
           (13656941659879969691939*z^24)/24192000 + 
           (997377764428351915089*z^25)/8000 - (55396722144551916399111*z^26)/
            3500 + (110231283675115324630764*z^27)/125)*Cf[z]^7*tS0[z]^2 + 
         ((2946077074201*z^12)/507915878400 - (2474313293903*z^13)/
            130636800 + (270755664428671*z^14)/10886400 - 
           (641505451030937*z^15)/37800 + (2144813745564457*z^16)/336 - 
           (220402133808630174*z^17)/175 + (17864217962107957872*z^18)/175)*
          Cf[z]^5*tS0[z]^3 + ((-7135909*z^6)/160 + (2507483097*z^7)/40 - 
           (291708376569*z^8)/10 + (22427305342632*z^9)/5)*Cf[z]^3*tS0[z]^4 + 
         35544096*Cf[z]*tS0[z]^5)*tS1[z] + 
       (((-668630049541875437*z^26)/8368906375513215817954099200 + 
           (331280609562365701489*z^27)/664198918691525064916992000 - 
           (182077211857862870641549*z^28)/129149789745574318178304000 + 
           (286131988711927795535393*z^29)/119583138653309553868800 - 
           (3770207269270458480866309*z^30)/1384064104783675392000 + 
           (16908559123128158963750549*z^31)/7689245026575974400 - 
           (259533513371660170667664439*z^32)/200240755900416000 + 
           (523877188347267409296353939*z^33)/927040536576000 - 
           (260829590513112418428455189*z^34)/1430618112000 + 
           (61001462525380569121890113*z^35)/1419264000 - 
           (49598031501652126290621963*z^36)/6899200 + 
           (868558560261414894533188287*z^37)/1078000 - 
           (14538458182759362747763811469*z^38)/269500 + 
           (9899239334128479489455136504*z^39)/6125)*Cf[z]^10 + 
         ((8906199425303*z^20)/6933159708563865600 - (60295012073826149*z^21)/
            20221715816644608000 - (328272332195367253*z^22)/
            561714328240128000 + (74210485940024664919*z^23)/
            7801587892224000 - (2150102750466028398253*z^24)/
            144473849856000 + (81255322062936059887*z^25)/6688604160 - 
           (786676033948895114039*z^26)/129024000 + 
           (15749464437540754544077*z^27)/8064000 - 
           (43799557222588297591809*z^28)/112000 + 
           (39182279263036866747018*z^29)/875 - (11231196572176418873628*
             z^30)/5)*Cf[z]^8*tS0[z] + ((109819813891*z^14)/1218998108160 - 
           (8798689946267*z^15)/24186470400 + (30912068335019*z^16)/
            52254720 - (5574495866073151*z^17)/10886400 + 
           (51912851607779257*z^18)/201600 - (508678461961174619*z^19)/6720 + 
           (8463527418732886359*z^20)/700 - (142038381973390761312*z^21)/175)*
          Cf[z]^6*tS0[z]^2 + ((-155581087*z^8)/93312 + (1118954359*z^9)/360 - 
           (25654587413*z^10)/12 + (3215189426982*z^11)/5 - 
           (356707605585744*z^12)/5)*Cf[z]^4*tS0[z]^3 + 
         (3150900*z^2 - 1244898720*z^3)*Cf[z]^2*tS0[z]^4)*tS1[z]^2 + 
       (((1438513007112761*z^22)/20965874958697129574400 - 
           (74111570128422821*z^23)/194128471839788236800 + 
           (233116053697789961071*z^24)/242660589799735296000 - 
           (101509495403953118351*z^25)/70214291030016000 + 
           (15055354105610833838347*z^26)/10402117189632000 - 
           (146313604279847273656159*z^27)/144473849856000 + 
           (38037858437809711599143*z^28)/75246796800 - 
           (1253962033364876536806547*z^29)/6967296000 + 
           (722125650126666399447899*z^30)/16128000 - 
           (12963951808395122784993*z^31)/1750 + (5130487722731886103694319*
             z^32)/7000 - (5740568634445820579971692*z^33)/175)*Cf[z]^9 + 
         ((-3643719763589*z^16)/1872381094133760 + (62957242690981*z^17)/
            8358844170240 - (23409950144766167*z^18)/1805923123200 + 
           (972313212942278749*z^19)/75246796800 - 
           (33995028067257424897*z^20)/4180377600 + (569723655656372023*z^21)/
            172800 - (37550044302359638711*z^22)/44800 + 
           (34101989284325096493*z^23)/280 - (1351836010123307566533*z^24)/
            175)*Cf[z]^7*tS0[z] + ((71370241*z^10)/16796160 - 
           (1897712653*z^11)/116640 + (23811392009*z^12)/1080 - 
           (249167116903*z^13)/18 + (20596148919459*z^14)/5 - 
           (2353479950395008*z^15)/5)*Cf[z]^5*tS0[z]^2 + 
         ((-389600*z^4)/27 + 30792240*z^5 - 10961707968*z^6)*Cf[z]^3*
          tS0[z]^3)*tS1[z]^3 + (((-65098594953977*z^18)/2022171581664460800 + 
           (2398972356384857*z^19)/16048980806860800 - 
           (2868958586512900361*z^20)/9361905470668800 + 
           (450834034662590861*z^21)/1238347284480 - 
           (36947351017737442243*z^22)/133772083200 + 
           (773482455263078430533*z^23)/5573836800 - 
           (335133267652108655533*z^24)/7257600 + (62806682688416810081*z^25)/
            6400 - (3384446341839322591557*z^26)/2800 + 
           (23012726569117521478227*z^27)/350)*Cf[z]^8 + 
         ((18053979113*z^12)/19349176320 - (3072991015583*z^13)/1074954240 + 
           (43116744091069*z^14)/11943936 - (399292859603701*z^15)/165888 + 
           (41209591017427321*z^16)/46080 - (28098602529775167*z^17)/160 + 
           (284859150252499953*z^18)/20)*Cf[z]^6*tS0[z] + 
         ((-91133171*z^6)/12960 + (3679410977*z^7)/360 - (49011540531*z^8)/
            10 + (3874280479848*z^9)/5)*Cf[z]^4*tS0[z]^2 + 
         4480800*Cf[z]^2*tS0[z]^3)*tS1[z]^4 + 
       (((292676550499*z^14)/39007939461120 - (10244496572911*z^15)/
            386983526400 + (5934067096981489*z^16)/150493593600 - 
           (4486709076074441*z^17)/139345920 + (28730030948360191*z^18)/
            1843200 - (160460675339191429*z^19)/35840 + 
           (282775592400871401*z^20)/400 - (6630086414598389469*z^21)/140)*
          Cf[z]^7 + ((-76572053*z^8)/497664 + (14759083997*z^9)/51840 - 
           (70400433791*z^10)/360 + (590693029603*z^11)/10 - 
           (33088026858804*z^12)/5)*Cf[z]^5*tS0[z] + 
         (229300*z^2 - 88302240*z^3)*Cf[z]^3*tS0[z]^2)*tS1[z]^5 + 
       (((-26513863*z^10)/53747712 + (680817391*z^11)/663552 - 
           (409891585051*z^12)/497664 + (725746832783*z^13)/2304 - 
           (1793899090401*z^14)/32 + (7049657060577*z^15)/2)*Cf[z]^6 + 
         ((425*z^4)/8 + (4136725*z^5)/6 - 316179540*z^6)*Cf[z]^4*tS0[z])*
        tS1[z]^6 + (((-675931*z^6)/10368 + (27687047*z^7)/288 - 
           (1117822673*z^8)/24 + 7417784502*z^9)*Cf[z]^5 + 
         73800*Cf[z]^3*tS0[z])*tS1[z]^7 + ((2375*z^2)/2 - 441000*z^3)*Cf[z]^4*
        tS1[z]^8)
 
Ff[8] = 828228492315432477106919540441/
      8068824260337390169721618426757120000 + 
     (1927159579641704594261373347425477*z)/
      958795475379597288686056510586880000 - 
     (148799962583456458989827015759543*z^2)/
      16813893718076551779707781120000 + (40391601904584590748703314921800951*
       z^3)/2201819415462405590199828480000 - 
     (41548459829451409053138625964431561*z^4)/1982090523178605855375360000 + 
     (373182976823636965801924482625876717*z^5)/27529035044147303546880000 - 
     (188777402547082050815495478769669*z^6)/40460075020792627200 + 
     (42077490541299029986568766743221*z^7)/63218867219988480 + 
     ((-145606083300594019806747326566213*z^42)/
        797697859038619405582369573626644197848842093199360000 + 
       (820616795513725063256943985177049*z^43)/
        738609128739462412576268123728374257267446382592000 - 
       (303803637476847647029645430609567*z^44)/
        97144508725202863606937621492052590654914560000 + 
       (17771579166257293670058846778232471*z^45)/
        3298116036966763887889857519791908941987840000 - 
       (2304061650840722485844029833488251*z^46)/
        363548945873761451486977239835968798720000 + 
       (189805261452271133666849134101996689*z^47)/
        35345036404393474450122787206274744320000 - 
       (1583714712353467597444209077053*z^48)/
        469997782048822200336302211072000 + 
       (74986457952761704640038653830776801*z^49)/
        47347924710103569811657111633920000 - 
       (122073737597154644638614110960935429*z^50)/
        219203355139368378757671813120000 + 
       (88019736043039956147446326499026903*z^51)/
        608898208720467718771310592000 - (23721983209789907246058486339019043*
         z^52)/880929121412713713500160000 + 
       (5585257896759233810923463226784001*z^53)/1631350224838358728704000 - 
       (1703566200905656606179540600625453*z^54)/6293789447678853120000 + 
       (43836197337623785561655223031049*z^55)/4162559158517760000)*
      Cf[z]^14 + ((-98375*z^2)/128 + (6475304175*z^3)/8192)*Cf[z]^14*
      S2[z]^20 + (1282031525*Cf[z]^14*S2[z]^21)/688128 + 
     (186723497441218813947436810079/587497227561027750420377763840000 - 
       (264659644049308727003484669701*z)/113328940501741464201461760000 + 
       (531249055359227429742189953471*z^2)/80718618590983948861440000 - 
       (6876194404195882728844605492169*z^3)/728709751168605093888000 + 
       (4929733568744026416103936867957*z^4)/674731251082041753600 - 
       (94882742659778836032254063713*z^5)/32539122833817600 + 
       (81150289998362434417878743051*z^6)/172164671078400 + 
       ((123342237693369200017679354017*z^36)/
          5238184294006036763119185472610678907863040000 - 
         (11144806745038853004311940449*z^37)/
          36087579185998379375545534836658667520000 + 
         (16926424440972591844183948439603*z^38)/
          9356039048221802060326620142837432320000 - 
         (13803967158448994026210750494881*z^39)/
          2165749779680972699149680588619776000 + 
         (2007738735461250061179055212653*z^40)/
          131467911062607608485678940160000 - 
         (77155533974097142046890126038461*z^41)/
          2901220876844581483557421056000 + 
         (7059454508814882315734525879802851*z^42)/
          201473672003095936358154240000 - 
         (2785222131730306206658370308715383*z^43)/
          77729040124651210014720000 + (561682955742069810448389837048740567*
           z^44)/19432260031162802503680000 - 
         (835108994150899268955417926511052319*z^45)/
          44982083405469450240000 + (36760147115813101163581935298212233*
           z^46)/3856488632156160000 - (313965614875861028111192469664322381*
           z^47)/80343513169920000 + (59097851967785225352807545876053901*
           z^48)/46495088640000 - (4647381377587326357160849476088597*z^49)/
          14350336000 + (56741066235489134141693906666964057*z^50)/
          896896000 - (73266113673423735147945059147816301*z^51)/8008000 + 
         (2586875517106846340487641959527282987*z^52)/2802800 - 
         (2031655305852908135602799758503914718*z^53)/35035 + 
         (42758434328769038880384751557647277264*z^54)/25025)*Cf[z]^12)*
      tS0[z] + (-637351571917009861510085089/5666447025087073210073088000 + 
       (172337823092191516762798451*z)/267689296347650850816000 - 
       (866278005818337255235168333*z^2)/619651148952895488000 + 
       (369557046620198721782212513*z^3)/255580019349258240 - 
       (23384057276546290006017155741*z^4)/32539122833817600 + 
       (297629525961993676849418717*z^5)/2152058388480 + 
       ((-8625112826818966220060790427*z^30)/
          1754257321541587886311241276782018560000 + 
         (64075339588715832213076397141*z^31)/
          1353593612300607936968550367887360000 - 
         (150438242490831401237639383*z^32)/726650868968494434657239040000 + 
         (463171411416697616756264381*z^33)/845344078334668264439808000 - 
         (635579975628313422510865498487*z^34)/645748948727871590891520000 + 
         (2751017699983439735143999820953*z^35)/2159140003462533611520000 - 
         (55331108791258907668419496954553*z^36)/44982083405469450240000 + 
         (564253936359627012169671583607819*z^37)/624751158409297920000 - 
         (1472580169787440577177630825393081*z^38)/2892366474117120000 + 
         (164095415304036753917003574921613*z^39)/743921418240000 - 
         (17386746926203402330713920821747*z^40)/238436352000 + 
         (49888909114343815788915603926551*z^41)/2759680000 - 
         (561568653246801474552678017339943*z^42)/172480000 + 
         (4338179056541185480424493415149489*z^43)/10780000 - 
         (4115604669378162939390297013252983*z^44)/134750 + 
         (72332083396825865788216259473633944*z^45)/67375)*Cf[z]^10)*
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     (((-626271408202607*z^22)/1091972654098808832000 + 
         (806122800677880241*z^23)/242660589799735296000 - 
         (3912035864008948783*z^24)/449371462592102400 + 
         (7657176864245861228827*z^25)/561714328240128000 - 
         (36400862300104725211*z^26)/2568423997440 + 
         (494592118723875822735031*z^27)/48157949952000 - 
         (21237479004652480139869171*z^28)/4013162496000 + 
         (5402228653604684871837689*z^29)/2786918400 - 
         (31905131159377977111695689*z^30)/64512000 + 
         (7498935178788191880656907*z^31)/89600 - 
         (23673134380562942152533381*z^32)/2800 + 
         (676016211164658278083524819*z^33)/1750)*Cf[z]^9 + 
       ((3667775510339*z^16)/146279772979200 - (123973414328321*z^17)/
          1160950579200 + (1659814866366479*z^18)/8360755200 - 
         (164207017873723201*z^19)/783820800 + (11927424145157887237*z^20)/
          87091200 - (6864038233842737399*z^21)/120960 + 
         (162981223113538251087*z^22)/11200 - (73923056320835327166*z^23)/
          35 + (23257378397723453558532*z^24)/175)*Cf[z]^7*tS0[z] + 
       ((-1893857731*z^10)/4478976 + (147833230525*z^11)/124416 - 
         (7328366070581*z^12)/5760 + (158174228918723*z^13)/240 - 
         (1666400316802911*z^14)/10 + (82720666056271608*z^15)/5)*Cf[z]^5*
        tS0[z]^2 + ((35637100*z^4)/9 - 3505894400*z^5 + 773041155840*z^6)*
        Cf[z]^3*tS0[z]^3)*tS1[z]^5 + 
     (((239850962822467*z^18)/1263857238540288000 - (128744589337354573*z^19)/
          140428582060032000 + (1513652174030027897*z^20)/780158789222400 - 
         (255925845657513573869*z^21)/108355387392000 + 
         (1830436396181237280337*z^22)/1003290624000 - 
         (25870292218325776004879*z^23)/27869184000 + 
         (723256355751159060780443*z^24)/2322432000 - 
         (119149181051783922600587*z^25)/1792000 + 
         (918895966319059281536589*z^26)/112000 - 
         (3122762465000744579211273*z^27)/7000)*Cf[z]^8 + 
       ((-13675758029*z^12)/1763596800 + (37897476421397*z^13)/1567641600 - 
         (3992353633027019*z^14)/130636800 + (36621582300859807*z^15)/
          1814400 - (74356106253633007*z^16)/10080 + 
         (248255786707961973*z^17)/175 - (19667715297168423384*z^18)/175)*
        Cf[z]^6*tS0[z] + ((55732897*z^6)/648 - (2017700389*z^7)/18 + 
         48465865884*z^8 - 6950961039744*z^9)*Cf[z]^4*tS0[z]^2 + 
       28358400*Cf[z]^2*tS0[z]^3)*tS1[z]^6 + 
     (((-3946386841*z^14)/152374763520 + (31055333256587*z^15)/338610585600 - 
         (423390081590401*z^16)/3135283200 + (14092176290678791*z^17)/
          130636800 - (61322539635562987*z^18)/1209600 + 
         (47221733363976791*z^19)/3360 - (373023682496185977*z^20)/175 + 
         (23903305809805234296*z^21)/175)*Cf[z]^7 + 
       ((4479935*z^8)/7776 - (130589609*z^9)/144 + (18838762637*z^10)/36 - 
         130191618956*z^11 + 11636095438656*z^12)*Cf[z]^5*tS0[z] + 
       (2485000*z^2 - 1095091200*z^3)*Cf[z]^3*tS0[z]^2)*tS1[z]^7 + 
     (((-5533235*z^10)/4478976 + (128630435*z^11)/31104 - 
         (705583975*z^12)/144 + (390792805045*z^13)/144 - 
         (1439607359385*z^14)/2 + 74080120729320*z^15)*Cf[z]^6 + 
       ((393875*z^4)/6 - 57696000*z^5 + 12630729600*z^6)*Cf[z]^4*tS0[z])*
      tS1[z]^8 + (((1911305*z^6)/3888 - (34536955*z^7)/54 + 
         (828323480*z^8)/3 - 39551477760*z^9)*Cf[z]^5 + 
       288000*Cf[z]^3*tS0[z])*tS1[z]^9 + ((25000*z^2)/3 - 3648000*z^3)*
      Cf[z]^4*tS1[z]^10 + S2[z]^19*(((28038471875*z^4)/254803968 - 
         (161287703725*z^5)/589824 + (39243955155*z^6)/256)*Cf[z]^14 + 
       (586953125*Cf[z]^13*tS1[z])/24576) + 
     S2[z]^18*(((-1102052375*z^6)/764411904 + (551980389325*z^7)/21233664 - 
         (515687814685*z^8)/12288 + (18279188802405*z^9)/1024)*Cf[z]^14 - 
       (77904475*Cf[z]^12*tS0[z])/36864 + ((-739201625*z^2)/73728 + 
         (19726848225*z^3)/2048)*Cf[z]^13*tS1[z]) + 
     S2[z]^17*(((-1332525131675*z^8)/880602513408 + (6929497804675*z^9)/
          3057647616 + (18783252493885*z^10)/14155776 - (28174839511655*z^11)/
          8192 + (702585909320157*z^12)/512)*Cf[z]^14 + 
       ((6515875*z^2)/9216 - (384881725*z^3)/512)*Cf[z]^12*tS0[z] + 
       ((68543675275*z^4)/42467328 - (1024291782275*z^5)/294912 + 
         (1821354789795*z^6)/1024)*Cf[z]^13*tS1[z] + 
       (975645925*Cf[z]^12*tS1[z]^2)/8192) + 
     S2[z]^16*(((4629015868175*z^10)/23776267862016 - (461403240092905*z^11)/
          660451885056 + (154319700158897*z^12)/191102976 - 
         (12012942529439*z^13)/49152 - (135384591459871*z^14)/1024 + 
         (36554252893871985*z^15)/512)*Cf[z]^14 + 
       ((-1349762975*z^4)/47775744 + (18288089125*z^5)/110592 - 
         (7207006235*z^6)/64)*Cf[z]^12*tS0[z] + 
       (((-99649371475*z^6)/1146617856 + (13521341474255*z^7)/31850496 - 
           (77994918544595*z^8)/147456 + (202613097727335*z^9)/1024)*
          Cf[z]^13 - (113821325*Cf[z]^11*tS0[z])/4608)*tS1[z] + 
       ((-11074357225*z^2)/221184 + (277736370335*z^3)/6144)*Cf[z]^12*
        tS1[z]^2) + S2[z]^15*(((-1188134007904355*z^12)/184884258895036416 + 
         (7142162730076333*z^13)/142657607172096 - (9511096763070409*z^14)/
          82556485632 + (130503344794409291*z^15)/1146617856 - 
         (82617489624641515*z^16)/1769472 + (8592954156165169*z^17)/4096 + 
         (1541942464521315141*z^18)/640)*Cf[z]^14 + 
       ((-7247627275*z^6)/286654464 + (27207261985*z^7)/995328 + 
         (156783251225*z^8)/36864 - (2067310540815*z^9)/256)*Cf[z]^12*
        tS0[z] + (347066575*Cf[z]^10*tS0[z]^2)/13824 + 
       (((-54576136159565*z^8)/5944066965504 + (660277969363*z^9)/
            6879707136 + (208954279413583*z^10)/5308416 - 
           (207477289831555*z^11)/4608 + (7485741288867405*z^12)/512)*
          Cf[z]^13 + ((316206275*z^2)/27648 - (3655137595*z^3)/384)*Cf[z]^11*
          tS0[z])*tS1[z] + ((4986229756765*z^4)/573308928 - 
         (22118651965475*z^5)/1327104 + (12083842524845*z^6)/1536)*Cf[z]^12*
        tS1[z]^2 + (48755595955*Cf[z]^11*tS1[z]^3)/165888) + 
     S2[z]^14*(((-282961284915541*z^14)/323547453066313728 + 
         (29546574242631113*z^15)/17974858503684096 + 
         (214163505114525521*z^16)/110955916689408 - 
         (3329055902351459029*z^17)/428070666240 + (3643023697307412895*z^18)/
          445906944 - (1266226007365587911*z^19)/344064 + 
         (78256556642307081447*z^20)/143360 + (371846669516736993513*z^21)/
          8960)*Cf[z]^14 + ((9103239462995*z^8)/1486016741376 - 
         (25546168167481*z^9)/1719926784 + (31602020248207*z^10)/2654208 - 
         (28383142615513*z^11)/9216 - (8684541931197*z^12)/128)*Cf[z]^12*
        tS0[z] + ((-63428525*z^2)/6912 + (3206874655*z^3)/384)*Cf[z]^10*
        tS0[z]^2 + (((5892886364377*z^10)/2972033482752 - 
           (949341127885183*z^11)/165112971264 + (414516094730855*z^12)/
            84934656 + (122330965692973*z^13)/442368 - 
           (1093162964298405*z^14)/512 + (189353922369094773*z^15)/256)*
          Cf[z]^13 + ((-147978165835*z^4)/71663616 + (619795792025*z^5)/
            165888 - (39479585275*z^6)/24)*Cf[z]^11*tS0[z])*tS1[z] + 
       (((-51204794957*z^6)/71663616 + (117359996513*z^7)/49152 - 
           (365363343504965*z^8)/147456 + (847753130048535*z^9)/1024)*
          Cf[z]^12 - (1080251245*Cf[z]^10*tS0[z])/13824)*tS1[z]^2 + 
       ((-10036891625*z^2)/82944 + (476633865475*z^3)/4608)*Cf[z]^11*
        tS1[z]^3) + S2[z]^13*
      (((278014985582986073*z^16)/2236359995594360487936 - 
         (723254049405316295*z^17)/1294189812265254912 + 
         (4142982345562011983*z^18)/4279728215162880 - 
         (50900222706540554329*z^19)/69347447930880 + 
         (11020715465612051393*z^20)/128421199872 + 
         (87476193899449720853*z^21)/371589120 - (51908058171767824129*z^22)/
          344064 + (544237241933257782849*z^23)/17920 - 
         (10306581073027261389*z^24)/32)*Cf[z]^14 + 
       ((-2754766693909*z^10)/4458050224128 + (23446413896249*z^11)/
          10319560704 - (74677168427375*z^12)/23887872 + 
         (72965521201951*z^13)/36864 - (558063941093463*z^14)/1024 + 
         (2678963098757553*z^15)/64)*Cf[z]^12*tS0[z] + 
       ((11987979415*z^4)/11943936 - (64581278125*z^5)/27648 + 
         (76669352855*z^6)/64)*Cf[z]^10*tS0[z]^2 + 
       (((-7905619003581781*z^12)/53924575511052288 + 
           (28041220328730839*z^13)/41608468758528 - 
           (186396803022188593*z^14)/160526499840 + 
           (6101276194386369179*z^15)/6688604160 - (46790373962266801*z^16)/
            172032 - (1099591372674032097*z^17)/35840 + 
           (27858391467378462657*z^18)/1120)*Cf[z]^13 + 
         ((23835765851*z^6)/214990848 - (153310131119*z^7)/331776 + 
           (4602509979449*z^8)/9216 - (10444352484585*z^9)/64)*Cf[z]^11*
          tS0[z] + (189416005*Cf[z]^9*tS0[z]^2)/1152)*tS1[z] + 
       (((3466282109615*z^8)/495338913792 - (23314939807087*z^9)/191102976 + 
           (237829317832663*z^10)/884736 - (655016308677319*z^11)/3072 + 
           (14932765258118433*z^12)/256)*Cf[z]^12 + 
         ((1713103775*z^2)/41472 - (2916293435*z^3)/96)*Cf[z]^10*tS0[z])*
        tS1[z]^2 + ((1551750072605*z^4)/71663616 - (6285787367915*z^5)/
          165888 + (3202094845447*z^6)/192)*Cf[z]^11*tS1[z]^3 + 
       (10389987935*Cf[z]^10*tS1[z]^4)/27648) + 
     S2[z]^12*(((-63531901812323027*z^18)/10063619980174622195712 + 
         (12664628667185856661*z^19)/310605554943661178880 - 
         (1395238393369791870209*z^20)/12941898122652549120 + 
         (4569530137046519858471*z^21)/29958097506140160 - 
         (5718415118344837901917*z^22)/46231631953920 + 
         (3520091230160344715965*z^23)/64210599936 - 
         (3464457733005688685701*z^24)/371589120 - 
         (495894237121014871669*z^25)/286720 + (27795887100298208172987*z^26)/
          35840 - (14694847129310506314561*z^27)/448)*Cf[z]^14 + 
       ((1253009872739257*z^12)/121330294899867648 - (10127481371485733*z^13)/
          93619054706688 + (118819579311464581*z^14)/433421549568 - 
         (2314495070950699051*z^15)/7524679680 + (1001741227079342641*z^16)/
          5806080 - (1234571802850342991*z^17)/26880 + 
         (475366117351937739*z^18)/112)*Cf[z]^12*tS0[z] + 
       ((2122887761*z^6)/23887872 + (3015668183*z^7)/110592 - 
         (5181532189231*z^8)/27648 + (5747409458299*z^9)/64)*Cf[z]^10*
        tS0[z]^2 - (756978455*Cf[z]^8*tS0[z]^3)/5184 + 
       (((69134683417139*z^14)/30332573724966912 - (1781685500802528413*z^15)/
            67405719388815360 + (3448167698058911*z^16)/42807066624 - 
           (7736719663180904983*z^17)/68797071360 + 
           (77488644417451873151*z^18)/955514880 - (6996345783884454169*z^19)/
            245760 + (52763523414785983917*z^20)/17920 + 
           (519481910083419275823*z^21)/1120)*Cf[z]^13 + 
         ((14106184643845*z^8)/557256278016 - (19340836081577*z^9)/
            644972544 - (26142112966181*z^10)/1990656 + 
           (396826106770567*z^11)/13824 - (151926331043039*z^12)/16)*Cf[z]^11*
          tS0[z] + ((-192844825*z^2)/2304 + (1454477005*z^3)/24)*Cf[z]^9*
          tS0[z]^2)*tS1[z] + (((10800470176183*z^10)/2229025112064 - 
           (293881225452137*z^11)/30958682112 - (3916023864150673*z^12)/
            5733089280 + (60911506614722251*z^13)/4423680 - 
           (692405410555841659*z^14)/61440 + (3661070321014890543*z^15)/1280)*
          Cf[z]^12 + ((-553625871785*z^4)/53747712 + (1852254241885*z^5)/
            124416 - (790595143183*z^6)/144)*Cf[z]^10*tS0[z])*tS1[z]^2 + 
       (((-21439014091*z^6)/10077696 + (17512838671963*z^7)/2985984 - 
           (887260417934291*z^8)/165888 + (625152768148067*z^9)/384)*
          Cf[z]^11 - (1386225395*Cf[z]^9*tS0[z])/15552)*tS1[z]^3 + 
       ((-18469099925*z^2)/124416 + (833692647725*z^3)/6912)*Cf[z]^10*
        tS1[z]^4) + S2[z]^11*
      (((-5680716592886718169*z^20)/86949676628708735770951680 - 
         (25939187498002793461*z^21)/67090799867830814638080 + 
         (407155646953545666247*z^22)/133116666404426219520 - 
         (3354086609691698570569*z^23)/431396604088418304 + 
         (150263807465879091500219*z^24)/14265760717209600 - 
         (986698054386089171745719*z^25)/115579079884800 + 
         (2247585700242824618986583*z^26)/535088332800 - 
         (2598072908826546875387*z^27)/2211840 + 
         (420281195422550033770511*z^28)/2867200 - 
         (1044642600362270456919*z^29)/17920 - (807103788986362521220047*
           z^30)/2240)*Cf[z]^14 + 
       ((654111859467613*z^14)/121330294899867648 - (54105630769718293*z^15)/
          3370285969440768 + (399720768424561553*z^16)/26005292974080 - 
         (1399394672178173*z^17)/8026324992 - (8216611167047586407*z^18)/
          836075520 + (9290706231022437577*z^19)/1290240 - 
         (18766647105476038347*z^20)/8960 + (2961720190276955757*z^21)/14)*
        Cf[z]^12*tS0[z] + ((-14286665287865*z^8)/371504185344 + 
         (34005265408243*z^9)/429981696 - (33066722858569*z^10)/663552 + 
         (12577758470887*z^11)/2304 + (22198520399061*z^12)/8)*Cf[z]^10*
        tS0[z]^2 + ((32848925*z^2)/648 - (1519073515*z^3)/36)*Cf[z]^8*
        tS0[z]^3 + (((4966560423361437289*z^16)/8386349983478851829760 - 
           (26612569356006397*z^17)/14444082726174720 + 
           (15995291496025376213*z^18)/12839184645488640 + 
           (118247283389189775671*z^19)/52010585948160 - 
           (1564990204114975675879*z^20)/321052999680 + 
           (214203716679851296915*z^21)/55738368 - 
           (188880387579358394747*z^22)/129024 + (2042406829123436091357*
             z^23)/8960 - (2056576826196452867319*z^24)/2240)*Cf[z]^13 + 
         ((-3680273981423*z^10)/557256278016 + (1081739530403*z^11)/
            60466176 - (797718281079919*z^12)/44789760 + 
           (12029295806887639*z^13)/1658880 - (731160679021797*z^14)/1280 - 
           (9254403764934219*z^15)/40)*Cf[z]^11*tS0[z] + 
         ((329006239945*z^4)/17915904 - (1119082353155*z^5)/41472 + 
           (480040508399*z^6)/48)*Cf[z]^9*tS0[z]^2)*tS1[z] + 
       (((-238980366261892973*z^12)/404434316332892160 + 
           (223653527904461969*z^13)/104021171896320 - 
           (62809490881959727*z^14)/21403533312 + (32909283352405808359*z^15)/
            20065812480 - (712343947156022483*z^16)/20643840 - 
           (23449746240965143269*z^17)/71680 + (173214570944573756109*z^18)/
            1792)*Cf[z]^12 + ((85087920247*z^6)/53747712 - 
           (5051850428269*z^7)/1492992 + (16986058864825*z^8)/6912 - 
           (9722990345643*z^9)/16)*Cf[z]^10*tS0[z] + 
         (359277415*Cf[z]^8*tS0[z]^2)/3456)*tS1[z]^2 + 
       (((124010034882275*z^8)/1114512556032 - (100413198256141*z^9)/
            214990848 + (16590009672542867*z^10)/23887872 - 
           (4120793513945963*z^11)/9216 + (13701774381037589*z^12)/128)*
          Cf[z]^11 + ((582578125*z^2)/15552 - (6151403915*z^3)/216)*Cf[z]^9*
          tS0[z])*tS1[z]^3 + ((5643262395425*z^4)/214990848 - 
         (7073651894195*z^5)/165888 + (20321708924021*z^6)/1152)*Cf[z]^10*
        tS1[z]^4 + (4728199495*Cf[z]^9*tS1[z]^5)/20736) + 
     S2[z]^10*(((2232363171184893487*z^22)/65212257471531551828213760 - 
         (2608286746580779329617*z^23)/14491612771451455961825280 + 
         (17615525338646755098847*z^24)/44727199911887209758720 - 
         (25068084463756221544883*z^25)/57519547211789107200 + 
         (1072854798837473701379*z^26)/5547795834470400 + 
         (2529199000175371795387*z^27)/24766945689600 - 
         (428297598335698747638727*z^28)/2140353331200 + 
         (1920922530539248150392391*z^29)/14863564800 - 
         (380324105674415071177577*z^30)/8601600 + 
         (56597250957034822673139*z^31)/7168 - (13442185615389914661276123*
           z^32)/22400 + (12453282037890983433366027*z^33)/700)*Cf[z]^14 + 
       ((-429076466456674265*z^16)/559089998898590121984 + 
         (3250719057585371957*z^17)/970642359198941184 - 
         (138518246683723866613*z^18)/22468573129605120 + 
         (15151918296737969851*z^19)/2476694568960 - 
         (412104044304560942053*z^20)/120394874880 + 
         (68205848169166755983*z^21)/69672960 - (3556782111812503463*z^22)/
          53760 - (26924546420659206843*z^23)/896 + 
         (7047490555791482516649*z^24)/1400)*Cf[z]^12*tS0[z] + 
       ((5036981253455*z^10)/1114512556032 - (440513912966441*z^11)/
          30958682112 + (508794237740309*z^12)/29859840 - 
         (973390854637481*z^13)/103680 + (2772358421135343*z^14)/1280 - 
         (8130841701535503*z^15)/80)*Cf[z]^10*tS0[z]^2 + 
       ((-603044315*z^4)/124416 + (27117475265*z^5)/2592 - 
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          Cf[z]^10*tS0[z] + ((-829596625*z^2)/10368 + (13575372415*z^3)/288)*
          Cf[z]^8*tS0[z]^2)*tS1[z]^2 + 
       (((-3327984255053*z^10)/3343537668096 + (1391221820779145*z^11)/
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       ((-5267869375*z^2)/62208 + (113117479195*z^3)/1728)*Cf[z]^9*
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           (6648752756916737*z^14)/433421549568 - (7423109341668808567*z^15)/
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           (95628606781393319107*z^17)/107520 + (149996424848088180987*z^18)/
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           (1922536178898425*z^11)/4608 + (29130852130180067*z^12)/320)*
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         (11041932267295*z^5)/497664 + (4935854181553*z^6)/576)*Cf[z]^9*
        tS1[z]^5 + (2017490315*Cf[z]^8*tS1[z]^6)/41472) + 
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           (3677555947821478741041*z^30)/10240 + (19109057263006391415177489*
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           (2798752678274374408157*z^20)/200658124800 - 
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           (63649114924933*z^14)/640 + (42672023076737043*z^15)/40)*Cf[z]^9*
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           37525425816*z^6)*Cf[z]^7*tS0[z]^3)*tS1[z] + 
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           (23330334261463690049571*z^25)/143360 + 
           (515780656701891899864337*z^26)/22400 - 
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         ((7454745527708581*z^12)/5617143282401280 - (4878039043834613*z^13)/
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           (552551432718124271*z^15)/836075520 - (1395073703581458493*z^16)/
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           (72006029748185561829*z^18)/1120)*Cf[z]^10*tS0[z] + 
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           (10361091277285*z^8)/1152 + (3302626133307*z^9)/2)*Cf[z]^8*
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       (((1902266615987555*z^14)/53924575511052288 - 
           (105365839615695145*z^15)/748952437653504 + 
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           (40015124414385202123*z^17)/240789749760 + 
           (50866242863621192011*z^18)/1393459200 + 
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       (((-5590559989225*z^10)/990677827584 + (62985368189149*z^11)/
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           (76220634657157799*z^13)/1658880 - (317502707011931213*z^14)/
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       ((-359128445*z^2)/27648 + (128138603*z^3)/12)*Cf[z]^8*tS1[z]^6) + 
     S2[z]^7*(((271041220690563355513*z^28)/
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          3296144130048000 + (6633713338930805811831487381*z^37)/
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         (183298148237481122260339*z^25)/32354745306631372800 - 
         (381294832848402007458773*z^26)/74895243765350400 + 
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         (2737941080757997436893*z^28)/2477260800 + 
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         (1552194425067993549219*z^30)/358400 - 
         (52927701459345680054841*z^31)/6400 + (457803758913103011443481*
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         (809126929882649923*z^17)/33702859694407680 + 
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         (520721576584027495217*z^20)/20065812480 - 
         (11685724203334936247*z^21)/1228800 + (268580906878900161689*z^22)/
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         (1016436988589344256043*z^24)/140)*Cf[z]^10*tS0[z]^2 + 
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         (1084648187155431*z^14)/80 + (6060255338146221*z^15)/5)*Cf[z]^8*
        tS0[z]^3 + ((1844650265*z^4)/62208 - (7769767795*z^5)/144 + 
         22687450656*z^6)*Cf[z]^6*tS0[z]^4 + 
       (((-585218024205555339161*z^24)/68864143889937318730593730560 + 
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           (199951276306861401279301*z^26)/1844996996365347402547200 + 
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           (2371221464653337557043857*z^28)/33895447464090009600 - 
           (20011968489343796953607173*z^29)/784616839446528000 + 
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           (2341373757492333504600087588*z^33)/875)*Cf[z]^9*tS0[z] + 
         ((1341662142299693*z^16)/42128574618009600 - (4661509946844403*z^17)/
            48759924326400 + (6038956592419307*z^18)/42998169600 - 
           (1722185670371362211*z^19)/12541132800 + 
           (200039605427685950837*z^20)/2090188800 - 
           (22177119195833868923*z^21)/483840 + (313285977162621193881*z^22)/
            22400 - (1691039514505935451293*z^23)/700 + 
           (31270120102239959990718*z^24)/175)*Cf[z]^7*tS0[z]^2 + 
         ((7108807087*z^10)/8398080 - (1606776211111*z^11)/933120 + 
           (11315416669871*z^12)/8640 - (3584142713095*z^13)/8 + 
           (309261512938077*z^14)/5 - (7341074194168944*z^15)/5)*Cf[z]^5*
          tS0[z]^3 + ((-27824585*z^4)/18 + 734750320*z^5 - 14975345664*z^6)*
          Cf[z]^3*tS0[z]^4)*tS1[z]^3 + 
       (((-207061941243894214691*z^24)/2490745945093218993438720000 + 
           (12520626246286327513*z^25)/23726813224863006720000 - 
           (60934591282080564849611*z^26)/40038997316956323840000 + 
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           (72389307858200691681116610799*z^31)/110361968640000 - 
           (141189433343577376386786183281*z^32)/681246720000 + 
           (7826660005619432723593990501*z^33)/168960000 - 
           (31142714824333799486016493851*z^34)/4480000 + 
           (968226841263498305047570783143*z^35)/1540000 - 
           (9970138148761491042127140984483*z^36)/385000)*Cf[z]^10 + 
         ((9913111250831389*z^18)/2527714477080576000 - 
           (2545539938755934243*z^19)/140428582060032000 + 
           (86953783969004523961*z^20)/2340476367667200 - 
           (342621170746850189851*z^21)/7739670528000 + 
           (16939271903615771912891*z^22)/501645312000 - 
           (8505098217179939543519*z^23)/497664000 + 
           (1110202407636352369654439*z^24)/193536000 - 
           (551486947628460131039133*z^25)/448000 + 
           (4289935373135876898805491*z^26)/28000 - 
           (14743865061685091887894107*z^27)/1750)*Cf[z]^8*tS0[z] + 
         ((-1804029083623*z^12)/36279705600 + (140217222629129*z^13)/
            895795200 - (10081822078953367*z^14)/49766400 + 
           (95496159959294111*z^15)/691200 - (1207703054425879169*z^16)/
            23040 + (4198922113661680899*z^17)/400 - 
           (43368521704121963709*z^18)/50)*Cf[z]^6*tS0[z]^2 + 
         ((1762090303*z^6)/6480 - (72977604961*z^7)/180 + (993952887483*z^8)/
            5 - (160320301954128*z^9)/5)*Cf[z]^4*tS0[z]^3 - 
         162575280*Cf[z]^2*tS0[z]^4)*tS1[z]^4 + 
       (((3965667454978687*z^20)/145596353879841177600 - 
           (96902267844861887*z^21)/674057193888153600 + 
           (94713441229812417569*z^22)/280857164120064000 - 
           (1807812007986908091233*z^23)/3900793946112000 + 
           (276623171263382741743*z^24)/668860416000 - 
           (27936939287965822529399*z^25)/111476736000 + 
           (1456172482287719768410799*z^26)/13934592000 - 
           (5734164791290210403931259*z^27)/193536000 + 
           (306310488022729294655991*z^28)/56000 - 
           (16638210149456601687530817*z^29)/28000 + 
           (25273162135548476296140348*z^30)/875)*Cf[z]^9 + 
         ((-10798683660883*z^14)/9751984865280 + (2664115625102413*z^15)/
            677221171200 - (222212239039041953*z^16)/37623398400 + 
           (847630775565993089*z^17)/174182400 - (23025185101488170851*z^18)/
            9676800 + (18575745841802051479*z^19)/26880 - 
           (15464694880889251227*z^20)/140 + (1312573616896876460073*z^21)/
            175)*Cf[z]^7*tS0[z] + ((8255031883*z^8)/746496 - 
           (179161505593*z^9)/8640 + (1733272111963*z^10)/120 - 
           (22146826472646*z^11)/5 + (2522781592901496*z^12)/5)*Cf[z]^5*
          tS0[z]^2 + (-12409000*z^2 + 4970502720*z^3)*Cf[z]^3*tS0[z]^3)*
        tS1[z]^5 + (((-323850774054667*z^16)/84257149236019200 + 
           (3016755036762559*z^17)/195039697305600 - (72114703656991349*z^18)/
            2708884684800 + (91983194659503427*z^19)/3583180800 - 
           (63523820169949310891*z^20)/4180377600 + 
           (27382848124804063567*z^21)/4838400 - (116065456579181458597*z^22)/
            89600 + (466199438984203424067*z^23)/2800 - 
           (1607495236381173937599*z^24)/175)*Cf[z]^8 + 
         ((1416666325*z^10)/13436928 - (348232678699*z^11)/1492992 + 
           (126315795834667*z^12)/622080 - (83332516266173*z^13)/960 + 
           (727113421627521*z^14)/40 - (7432650370365282*z^15)/5)*Cf[z]^6*
          tS0[z] + ((-14302225*z^4)/108 + 72280525*z^5 - 5860992600*z^6)*
          Cf[z]^4*tS0[z]^2)*tS1[z]^6 + 
       (((-188847248579*z^12)/1015831756800 + (1474122747371*z^13)/
            2090188800 - (545302361891051*z^14)/522547200 + 
           (2857883409710069*z^15)/3628800 - (6521396131418461*z^16)/20160 + 
           (96666430942710249*z^17)/1400 - (1051902019226755314*z^18)/175)*
          Cf[z]^7 + ((15738595*z^6)/2592 - (671056915*z^7)/72 + 
           (28006162285*z^8)/6 - 764817651000*z^9)*Cf[z]^5*tS0[z] - 
         4779600*Cf[z]^3*tS0[z]^2)*tS1[z]^7 + 
       (((16407695*z^8)/186624 - (569179639*z^9)/3456 + (33016696409*z^10)/
            288 - 35144211134*z^11 + 4003414585884*z^12)*Cf[z]^6 + 
         (-175750*z^2 + 68896800*z^3)*Cf[z]^4*tS0[z])*tS1[z]^8 + 
       ((-195625*z^4)/324 + (874000*z^5)/3 - 10908000*z^6)*Cf[z]^5*tS1[z]^9 - 
       14000*Cf[z]^4*tS1[z]^10)
 
Ff[9] = 28988077030404355191321669662061803219/
      2570211520995583576695416309369085288775680000 + 
     (54693493492925091909126898763819874331*z)/
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     (19895159732913004040918282739981475596061*z^2)/
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      3187994955637160984881137897701376000 - 
     (422250913937286064149663371658218133570373*z^4)/
      73796179528637985761137451335680000 + 
     (437464803584943495831917896036375601627659*z^5)/
      85412244824812483519835013120000 - 
     (1080703370399980515297505517563604089188463*z^6)/
      395427059374131868147384320000 + 
     (4203514098519779778211711407205168742447*z^7)/
      5230516658387987673907200 - (68113416106269693085056134237495231*z^8)/
      678301257701523456 + ((-406902036364198427495455510004415863*z^48)/
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       (776147608758982744891745285031581668609199*z^54)/
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       (1105904276831832324456053038453209615227*z^56)/
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       (376567025695098178565230597932685396159*z^60)/
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     ((-6410157625*z^2)/786432 + (297533881875*z^3)/32768)*Cf[z]^16*
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     (16773558202408609375799764241367419/
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       (60038548337101811210637777635108153041*z^4)/
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       (57042102517077290989753950677518389289*z^5)/
        32117207551505187471360000 + (78988343699780212534746161456908092899*
         z^6)/133821698131271614464000 - (10891299474332109838717796947867189*
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       ((39710680317222235298851718071252387*z^42)/
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         (2225652250250720006569668384239613901*z^43)/
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         (235382014629306907476383635739328810397*z^44)/
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         (166683751693285246312853020796459217*z^44)/67375 - 
         (5847904242455149327815059846198561424*z^45)/67375)*Cf[z]^10)*
      tS0[z]^3 + (-1079381547472586561087/1112194369915453440 + 
       (53541609325511487756743*z)/12872620022169600 - 
       (471362770561815481231*z^2)/73574645760 + 
       (96461765293315574862497*z^3)/22992076800 - 
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         (63001789124649170367976195253598*z^36)/4375)*Cf[z]^8)*tS0[z]^4 + 
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         (40747937747871473620893*z^25)/200 + (674112626102874937242942*z^26)/
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     (-3244790047499/233280 + (372638654729957*z)/12960 - 
       (40309763252066*z^2)/3 + ((-23690572143889*z^12)/8062156800 + 
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       (181603321613*z^7)/5 + (98821961769804*z^8)/5 - 
       (17183492510071104*z^9)/5)*Cf[z]^2*tS0[z]^7 - 49061369952*tS0[z]^8 + 
     (-159855889601082420835755267483367853/
        12080822989782925837444312033394688000 + 
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         ((326820811690452508361*z^24)/18161689182971388493824000 - 
           (46673019551165438019797*z^25)/336327577462433120256000 + 
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           (3747038216382821655695549*z^27)/4054875306983424000 + 
           (1436391197016799903634763629*z^28)/1201444535402496000 - 
           (2239573824582507212210581297*z^29)/2085841207296000 + 
           (159653747897384249985362982707*z^30)/231760134144000 - 
           (1026976037570697084475109294221*z^31)/3218890752000 + 
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           (2561922303943991366667234946157*z^33)/103488000 + 
           (302019970127260370666836434579*z^34)/78400 - 
           (9686898269792441214427598512581*z^35)/26950 + 
           (1025724252772127572411201718288742*z^36)/67375)*Cf[z]^9)*
        tS0[z]^2 + ((-86374370993715671*z^18)/126385723854028800 + 
         (6260581082809591003*z^19)/1755357275750400 - 
         (78064240400274103639*z^20)/9751984865280 + 
         (230233104163924533509*z^21)/22574039040 - 
         (266694986257385808961*z^22)/32659200 + 
         (27586576855869280609439*z^23)/6451200 - 
         (1421215666254166836366121*z^24)/967680 + 
         (3581143539734161474222803*z^25)/11200 - 
         (5615648007275523913387569*z^26)/140 + (387179453112787906843686804*
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         (140675773116067*z^13)/4478976 + (626137316846455*z^14)/15552 - 
         (46412410802179825*z^15)/1728 + (949575316134815605*z^16)/96 - 
         1913838791312640834*z^17 + 152394093441214040232*z^18)*Cf[z]^5*
        tS0[z]^4 + ((-12861856321*z^6)/270 + (926726224904*z^7)/15 - 
         (133029950350944*z^8)/5 + (19016073457864704*z^9)/5)*Cf[z]^3*
        tS0[z]^5 - 14299971840*Cf[z]*tS0[z]^6)*tS1[z]^3 + 
     (-80067419749318399885/344881152 + 
       ((3981124182564855193573*z^32)/2320446192515327891946086344949760 - 
         (33820675530121724475873401*z^33)/
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         (233067228236915202499300741811*z^35)/
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           z^36)/6296052250096748011192320000 - 
         (81920793470528143675411779409591*z^37)/
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         (92443945770840051115712130485076541*z^39)/
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           z^42)/16068702633984000 + (738766868191395035989445660533051*z^43)/
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          39137280000 + (19906138759796033869704861657242613*z^45)/
          344960000 - (4090503544053973851921486696029685321*z^46)/
          560560000 + (3845665837503453128276078248624825239*z^47)/7007000 - 
         (7457949316994397850723849559339415408*z^48)/398125)*Cf[z]^12 + 
       ((-26803351151568090037*z^26)/581174053855084431802368000 + 
         (5059207589935739516971*z^27)/35874941595992866160640000 + 
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         (7129609766094487963725153299842326*z^39)/336875)*Cf[z]^10*tS0[z] + 
       ((-6280696641477779*z^20)/2022171581664460800 + 
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         (1710414364177894571*z^22)/30958682112000 + 
         (3399239643044777072209*z^23)/40633270272000 - 
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         (37549910194091967111337*z^25)/746496000 - 
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         (60741665086017148675496811*z^29)/500 - 
         (5051494652465569353520560489*z^30)/875)*Cf[z]^8*tS0[z]^2 + 
       ((1620449829365*z^14)/15237476352 - (2604345112056221*z^15)/
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         (393463709107505353*z^17)/870912 + (749733422088899243*z^18)/3584 - 
         (3173900916985861779*z^19)/56 + (58317970706707700889*z^20)/7 - 
         (3587066196386190733080*z^21)/7)*Cf[z]^6*tS0[z]^3 + 
       ((-10020680665*z^8)/15552 + (378083073469*z^9)/432 - 
         (4828512817585*z^10)/12 + 65352276041052*z^11 - 
         1265929739254944*z^12)*Cf[z]^4*tS0[z]^4 + 
       (-2534406000*z^2 + 1125564733440*z^3)*Cf[z]^2*tS0[z]^5)*tS1[z]^4 + 
     (((-4681528680737357884429*z^28)/3766007868980947118079344640000 + 
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         (1738483835606830788077007632363453*z^37)/257511260160000 - 
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         (38405605896781536070062363954855726*z^42)/336875)*Cf[z]^11 + 
       ((617604363713467*z^22)/8666449635704832000 - 
         (2334940933454610533*z^23)/5777633090469888000 + 
         (100648236039310292963*z^24)/96293884841164800 - 
         (50778780765056240565419*z^25)/31206351568896000 + 
         (628758353201058632621117*z^26)/371504185344000 - 
         (29692391316237602261684479*z^27)/24078974976000 + 
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         (551986037648562992969657879*z^29)/2322432000 + 
         (220296161495028158528690169*z^30)/3584000 - 
         (2364159763863510003720241839*z^31)/224000 + 
         (1082264483721131368391906487*z^32)/1000 - 
         (8782928743034140573158858447*z^33)/175)*Cf[z]^9*tS0[z] + 
       ((-193278960999307*z^16)/146279772979200 + (47229224928662611*z^17)/
          8126654054400 - (507006556638667493*z^18)/45148078080 + 
         (3218741450847895279*z^19)/261273600 - (8978719492564281017*z^20)/
          1075200 + (144154537363600458229*z^21)/40320 - 
         (10572474311429635970811*z^22)/11200 + (3515109435647610552018*z^23)/
          25 - (316869722308949740226244*z^24)/35)*Cf[z]^7*tS0[z]^2 + 
       ((39247582565*z^10)/2239488 - (3317552152475*z^11)/62208 + 
         (103610350365653*z^12)/1728 - (770714337662689*z^13)/24 + 
         8321264241875541*z^14 - 842040016793410896*z^15)*Cf[z]^5*tS0[z]^3 + 
       ((-510795050*z^4)/3 + 150966192000*z^5 - 33353218108800*z^6)*Cf[z]^3*
        tS0[z]^4)*tS1[z]^5 + 
     (((1136079281378103555587*z^24)/2179402701956566619258880000 - 
         (69228140538334818890747*z^25)/20179654647745987215360000 + 
         (477793933741226096612711*z^26)/46712163536449044480000 - 
         (18982292473298934950634749*z^27)/1038048078587756544000 + 
         (1574934421523286096400345381*z^28)/72086672124149760000 - 
         (24545620632706742948113730801*z^29)/1334938372669440000 + 
         (1244036281186680096190722700057*z^30)/111244864389120000 - 
         (7655261190993593032922678032913*z^31)/1545067560960000 + 
         (17037016323568209699381452767481*z^32)/10729635840000 - 
         (4459802213274138241531484687203*z^33)/12418560000 + 
         (106693274278056886450031961261*z^34)/1960000 - 
         (53550719327823728909319971029863*z^35)/10780000 + 
         (139159596994175485126699254644967*z^36)/673750)*Cf[z]^10 + 
       ((-2223034455675539*z^18)/70214291030016000 + 
         (3588575353091985623*z^19)/23404763676672000 - 
         (127118333618569735121*z^20)/390079394611200 + 
         (7202417516463222293719*z^21)/18059231232000 - 
         (155444596514487950789321*z^22)/501645312000 + 
         (736816907326865066547869*z^23)/4644864000 - 
         (62186802765779160009257219*z^24)/1161216000 + 
         (10310244104698037755722611*z^25)/896000 - 
         (80031509356113226033130277*z^26)/56000 + 
         (39112788557763874586321847*z^27)/500)*Cf[z]^8*tS0[z] + 
       ((1709497527053*z^12)/2645395200 - (3204514247508761*z^13)/
          1567641600 + (113824562772818749*z^14)/43545600 - 
         (1054205351908834057*z^15)/604800 + (719588171013905707*z^16)/1120 - 
         (21793230511903999809*z^17)/175 + (1739498195941662959352*z^18)/175)*
        Cf[z]^6*tS0[z]^2 + ((-1677180455*z^6)/324 + (61018954835*z^7)/9 - 
         2948716867720*z^8 + 425828975627520*z^9)*Cf[z]^4*tS0[z]^3 - 
       1052553600*Cf[z]^2*tS0[z]^4)*tS1[z]^6 + 
     (((-2022929562265679*z^20)/18199544234980147200 + 
         (3067638609635998589*z^21)/5055428954161152000 - 
         (17069590315187334383*z^22)/11702381838336000 + 
         (883375747014651814877*z^23)/433421549568000 - 
         (33181192817445646122383*z^24)/18059231232000 + 
         (124715731161338906897173*z^25)/111476736000 - 
         (520295986118102729333987*z^26)/1114767360 + 
         (51056915102084820309916957*z^27)/387072000 - 
         (21677836360855645038322029*z^28)/896000 + 
         (1165969238740954774361145*z^29)/448 - (436517504135881573791050109*
           z^30)/3500)*Cf[z]^9 + ((47250950027*z^14)/8465264640 - 
         (124484580126433*z^15)/6270566400 + (5130815331534157*z^16)/
          174182400 - (172581102582415847*z^17)/7257600 + 
         (2282810393017580347*z^18)/201600 - (5357678608565066947*z^19)/
          1680 + (86234676550397533962*z^20)/175 - 
         (5646990318586558208496*z^21)/175)*Cf[z]^7*tS0[z] + 
       ((-53797735*z^8)/864 + (44048259079*z^9)/432 - (247620399001*z^10)/4 + 
         16476985919292*z^11 - 1617261452845632*z^12)*Cf[z]^5*tS0[z]^2 + 
       (-123334000*z^2 + 54460569600*z^3)*Cf[z]^3*tS0[z]^3)*tS1[z]^7 + 
     (((9304345795723*z^16)/2808571641200640 - (56039575956137*z^17)/
          4875992432640 + (532593138785179*z^18)/36118462464 - 
         (3327395099363371*z^19)/418037760 + (5416331477270713*z^20)/
          19906560 + (392491886832892457*z^21)/215040 - 
         (8315218562836833251*z^22)/8960 + (13692139736813669259*z^23)/70 - 
         (551745475886850669468*z^24)/35)*Cf[z]^8 + 
       ((-1343945*z^10)/248832 - (523192865*z^11)/2592 + 
         (159314012723*z^12)/432 - (1979321647949*z^13)/8 + 
         73310283051969*z^14 - 8116997073578064*z^15)*Cf[z]^6*tS0[z] + 
       ((-29755375*z^4)/6 + 4369872000*z^5 - 959578531200*z^6)*Cf[z]^4*
        tS0[z]^2)*tS1[z]^8 + 
     (((920721841667*z^12)/304749527040 - (13569535735793*z^13)/1410877440 + 
         (20187296520163*z^14)/1632960 - (1502325781854167*z^15)/181440 + 
         (6176178618646583*z^16)/2016 - (20851932088997706*z^17)/35 + 
         (1669143377352080808*z^18)/35)*Cf[z]^7 + 
       ((-16670965*z^6)/216 + (908211245*z^7)/9 - (131449346320*z^8)/3 + 
         6318055319040*z^9)*Cf[z]^5*tS0[z] - 19104000*Cf[z]^3*tS0[z]^2)*
      tS1[z]^9 + (((-97900325*z^8)/279936 + (1143975275*z^9)/1944 - 
         (13275245275*z^10)/36 + 101923569900*z^11 - 10475999244000*z^12)*
        Cf[z]^6 + (-1110000*z^2 + 487296000*z^3)*Cf[z]^4*tS0[z])*tS1[z]^10 + 
     ((-400625*z^4)/27 + (38980000*z^5)/3 - 2835792000*z^6)*Cf[z]^5*
      tS1[z]^11 - 40000*Cf[z]^4*tS1[z]^12 + 
     S2[z]^22*(((1079213737475*z^4)/1019215872 - (916943892575*z^5)/294912 + 
         (31477733506005*z^6)/16384)*Cf[z]^16 + (32512321325*Cf[z]^15*tS1[z])/
        98304) + S2[z]^21*(((350726632375*z^6)/12230590464 + 
         (13449352845625*z^7)/56623104 - (201307886977295*z^8)/393216 + 
         (1007327625163875*z^9)/4096)*Cf[z]^16 + (1435875925*Cf[z]^14*tS0[z])/
        49152 + ((-162261728375*z^2)/1179648 + (2371660162875*z^3)/16384)*
        Cf[z]^15*tS1[z]) + S2[z]^20*(((-21710088633125*z^8)/990677827584 + 
         (797131299484135*z^9)/18345885696 + (41535665505635*z^10)/14155776 - 
         (4427706695451125*z^11)/98304 + (43109471910032721*z^12)/2048)*
        Cf[z]^16 + ((-498213625*z^2)/36864 + (53270506625*z^3)/4096)*Cf[z]^14*
        tS0[z] + ((1892798358125*z^4)/95551488 - (89795303512775*z^5)/
          1769472 + (59591408590295*z^6)/2048)*Cf[z]^15*tS1[z] + 
       (2655588125*Cf[z]^14*tS1[z]^2)/1152) + 
     S2[z]^19*(((194050325631805*z^10)/95105071448064 - 
         (12201816042211505*z^11)/1320903770112 + (1214415848712595*z^12)/
          95551488 - (2584282639965195*z^13)/524288 - 
         (30303463837934419*z^14)/16384 + (2558585746892840589*z^15)/2048)*
        Cf[z]^16 + ((1031274413575*z^4)/382205952 - (4811435873825*z^5)/
          884736 + (347367479095*z^6)/128)*Cf[z]^14*tS0[z] + 
       (((-1399117366145*z^6)/4586471424 + (318844250627095*z^7)/63700992 - 
           (2415546578264695*z^8)/294912 + (7251391067558325*z^9)/2048)*
          Cf[z]^15 + (11819133025*Cf[z]^13*tS0[z])/36864)*tS1[z] + 
       ((-845655120875*z^2)/884736 + (11703105301075*z^3)/12288)*Cf[z]^14*
        tS1[z]^2) + S2[z]^18*(((742600498365775*z^12)/30814043149172736 + 
         (70702870351765435*z^13)/190210142896128 - (51083766719404175*z^14)/
          36691771392 + (2617978900681875109*z^15)/1528823808 - 
         (14799970691160425*z^16)/18432 + (586669161504368961*z^17)/16384 + 
         (13018705844684580747*z^18)/256)*Cf[z]^16 + 
       ((-38381734885*z^6)/127401984 + (31097930393605*z^7)/31850496 - 
         (9451305983615*z^8)/9216 + (181402310355555*z^9)/512)*Cf[z]^14*
        tS0[z] + (6515534075*Cf[z]^12*tS0[z]^2)/36864 + 
       (((-250699416361325*z^8)/990677827584 + (3272206395960745*z^9)/
            9172942848 + (4853404320783005*z^10)/14155776 - 
           (35942296850113225*z^11)/49152 + (591075357712345035*z^12)/2048)*
          Cf[z]^15 + ((-541193625*z^2)/4096 + (394065370825*z^3)/3072)*
          Cf[z]^13*tS0[z])*tS1[z] + ((14161200451975*z^4)/95551488 - 
         (598569924540125*z^5)/1769472 + (740003359732365*z^6)/4096)*Cf[z]^14*
        tS1[z]^2 + (239402887075*Cf[z]^13*tS1[z]^3)/27648) + 
     S2[z]^17*(((-18838715763921235*z^14)/986049380773527552 + 
         (1953330662663391965*z^15)/31955304006549504 - 
         (8656043093944734455*z^16)/221911833378816 - 
         (35845056877114587919*z^17)/513684799488 + 
         (15905424287814087121*z^18)/132120576 - (44381721306172161955*z^19)/
          688128 + (1380605437509980695911*z^20)/143360 + 
         (11569506146602418742921*z^21)/8960)*Cf[z]^16 + 
       ((215970159885425*z^8)/11888133931008 - (1297366467565075*z^9)/
          13759414272 + (3480253513841825*z^10)/21233664 - 
         (4443984688284455*z^11)/36864 + (8331222079106673*z^12)/256)*
        Cf[z]^14*tS0[z] + ((-617788625*z^2)/9216 + (33879298325*z^3)/512)*
        Cf[z]^12*tS0[z]^2 + (((999665604388595*z^10)/31701690482688 - 
           (155163925638057365*z^11)/1320903770112 + 
           (206048992188642587*z^12)/1528823808 - (214644665280204565*z^13)/
            7077888 - (287952998576137015*z^14)/8192 + 
           (8384244233069663937*z^15)/512)*Cf[z]^15 + 
         ((13557377606975*z^4)/573308928 - (63266011010125*z^5)/1327104 + 
           (36811493504935*z^6)/1536)*Cf[z]^13*tS0[z])*tS1[z] + 
       (((-20940855517555*z^6)/3057647616 + (5037033760599935*z^7)/
            127401984 - (5205892482822215*z^8)/98304 + 
           (10628033570605365*z^9)/512)*Cf[z]^14 + 
         (160715459825*Cf[z]^12*tS0[z])/110592)*tS1[z]^2 + 
       ((-3133694855725*z^2)/884736 + (41158107322405*z^3)/12288)*Cf[z]^13*
        tS1[z]^3) + S2[z]^16*
      (((180369916510435265*z^16)/124242221977464471552 - 
         (9681194506097508509*z^17)/1150390944235782144 + 
         (2170411439023135577293*z^18)/119832390024560640 - 
         (120447186963101134961*z^19)/6849130659840 + 
         (2390011005639844419817*z^20)/428070666240 + 
         (927242081172596606891*z^21)/297271296 - 
         (3317787352344444297567*z^22)/1146880 + 
         (88164488179328696232093*z^23)/143360 + 
         (105027522155748002740239*z^24)/8960)*Cf[z]^16 + 
       ((14349200883655*z^10)/35664401793024 + (2846592739310555*z^11)/
          990677827584 - (6918339549017111*z^12)/573308928 + 
         (7238222977461509*z^13)/442368 - (30044602062640805*z^14)/3072 + 
         (570542378422593051*z^15)/256)*Cf[z]^14*tS0[z] + 
       ((367715759575*z^4)/47775744 - (2192568226325*z^5)/110592 + 
         (43950965215*z^6)/4)*Cf[z]^12*tS0[z]^2 + 
       (((-118015443339575*z^12)/124825406275584 + (2769994312635797657*z^13)/
            332867750068224 - (7723671640366928623*z^14)/385263599616 + 
           (17825365806265187575*z^15)/891813888 - (7881863569016467873*z^16)/
            1032192 - (4556346615040877541*z^17)/14336 + 
           (5755892282335805170833*z^18)/8960)*Cf[z]^15 + 
         ((-4561435093595*z^6)/1719926784 + (382338764953595*z^7)/47775744 - 
           (1808317247489915*z^8)/221184 + (1439148390762445*z^9)/512)*
          Cf[z]^13*tS0[z] + (8179291525*Cf[z]^11*tS0[z]^2)/4608)*tS1[z] + 
       (((-26075669033795*z^8)/27518828544 + (1220393394524701*z^9)/
            4586471424 + (40272779035334255*z^10)/10616832 - 
           (77150890576836733*z^11)/16384 + (1639369066263237999*z^12)/1024)*
          Cf[z]^14 + ((-171944222225*z^2)/331776 + (4726715794835*z^3)/9216)*
          Cf[z]^12*tS0[z])*tS1[z]^2 + ((1145643508945*z^4)/1990656 - 
         (526336251798475*z^5)/442368 + (912801902748505*z^6)/1536)*Cf[z]^13*
        tS1[z]^3 + (9730283985*Cf[z]^12*tS1[z]^4)/512) + 
     S2[z]^15*(((-169524458919992939*z^18)/23002559954684850733056 + 
         (3054820151050805618419*z^19)/11181799977971802439680 - 
         (61549376827741229580437*z^20)/51767592490610196480 + 
         (267568175205028656969071*z^21)/119832390024560640 - 
         (121503999490653241831319*z^22)/55477958344704 + 
         (44379793909840686528211*z^23)/40131624960 - 
         (41511878176925415949981*z^24)/212336640 - 
         (172499762005252360207033*z^25)/3440640 + 
         (211073502700589121240003*z^26)/10240 - 
         (1904383124840019075344523*z^27)/4480)*Cf[z]^16 + 
       ((-2382598390491755*z^12)/7988826001637376 + (420370088704264805*z^13)/
          499301625102336 - (178120836030587827*z^14)/288947699712 - 
         (586055611508125271*z^15)/1337720832 + (5875768610231414269*z^16)/
          6193152 - (7954147940349260003*z^17)/14336 + 
         (259852316101091926263*z^18)/2240)*Cf[z]^14*tS0[z] + 
       ((47858771425*z^6)/95551488 + (186415368085*z^7)/248832 - 
         (80837200677325*z^8)/36864 + (263677678099995*z^9)/256)*Cf[z]^12*
        tS0[z]^2 - (4424908925*Cf[z]^10*tS0[z]^3)/6912 + 
       (((-73141852408905191*z^14)/554652776685109248 + 
           (121893340326952399439*z^15)/539245755110522880 + 
           (762557993205518163937*z^16)/1664338750341120 - 
           (1190641259811021870997*z^17)/770527199232 + 
           (21154091384501007045361*z^18)/13377208320 - 
           (200940269377961940505*z^19)/294912 + (11048221357309876951431*
             z^20)/143360 + (143725567864739784126939*z^21)/8960)*Cf[z]^15 + 
         ((29344231755175*z^8)/110075314176 - (3277543194558115*z^9)/
            3439853568 + (3620236125451849*z^10)/2654208 - 
           (699779291133769*z^11)/768 + (60469631690710659*z^12)/256)*
          Cf[z]^13*tS0[z] + ((-7220274425*z^2)/9216 + (256501439395*z^3)/384)*
          Cf[z]^11*tS0[z]^2)*tS1[z] + 
       (((5974090652179417*z^10)/35664401793024 - (129260850447954821*z^11)/
            247669456896 + (2107515150802653521*z^12)/4586471424 + 
           (563753673685336897*z^13)/10616832 - (6035932176221614453*z^14)/
            24576 + (44226847085469102027*z^15)/512)*Cf[z]^14 + 
         ((760078374665*z^4)/10616832 - (103906575908125*z^5)/663552 + 
           (63346351352855*z^6)/768)*Cf[z]^12*tS0[z])*tS1[z]^2 + 
       (((-201622713601163*z^6)/5159780352 + (22243122732221371*z^7)/
            143327232 - (236530971499661197*z^8)/1327104 + 
           (196145680240162369*z^9)/3072)*Cf[z]^13 + 
         (3521899085*Cf[z]^11*tS0[z])/1024)*tS1[z]^3 + 
       ((-15085382187875*z^2)/1990656 + (188378801046155*z^3)/27648)*Cf[z]^12*
        tS1[z]^4) + S2[z]^14*
      (((-850789912156209550099*z^20)/130424514943063103656427520 + 
         (65194714611958043842427*z^21)/2415268795241909326970880 - 
         (701985177560141894039*z^22)/23007818884715642880 - 
         (252911495335037108764829*z^23)/8627932081768366080 + 
         (2273727368764224267477509*z^24)/19972065004093440 - 
         (336883961668838312828923*z^25)/2568423997440 + 
         (587999395814568737861131*z^26)/7644119040 - 
         (5598773118628554589709471*z^27)/247726080 + 
         (3002889602219715677466927*z^28)/1433600 + 
         (3057516614687266815141213*z^29)/11200 - 
         (163671149174766014587785201*z^30)/11200)*Cf[z]^16 + 
       ((22617202852533115*z^14)/485321179599470592 - 
         (26177790236112746369*z^15)/134811438777630720 + 
         (271814481615174540821*z^16)/832169375170560 - 
         (521225437904504538479*z^17)/1926317998080 + 
         (9064514590822478671*z^18)/95551488 + (30246963570255915079*z^19)/
          2580480 - (1398214105911931002939*z^20)/71680 + 
         (20023861911960513317499*z^21)/4480)*Cf[z]^14*tS0[z] + 
       ((-345714938791195*z^8)/1486016741376 + (837140793098129*z^9)/
          1719926784 - (658597459766983*z^10)/2654208 - 
         (572307233608381*z^11)/9216 + (7068584914602009*z^12)/128)*Cf[z]^12*
        tS0[z]^2 + ((1107836425*z^2)/5184 - (117777243995*z^3)/576)*Cf[z]^10*
        tS0[z]^3 + (((209112784233952771219*z^16)/12579524975218277744640 - 
           (2263519817591130388223*z^17)/29119270775968235520 + 
           (36012925682782159240513*z^18)/269622877555261440 - 
           (43065401560535133149413*z^19)/499301625102336 - 
           (32232353247271287357767*z^20)/1444738498560 + 
           (427733723612078601577547*z^21)/6688604160 - 
           (524128460869817459767093*z^22)/15482880 + 
           (59703170941866186170767*z^23)/10240 + (144710991301501034052885*
             z^24)/896)*Cf[z]^15 + ((-122791449370555*z^10)/4458050224128 + 
           (26561575221917365*z^11)/247669456896 - (203918924126646953*z^12)/
            1146617856 + (105137541493464293*z^13)/663552 - 
           (38788669809893085*z^14)/512 + (1972482940771851339*z^15)/128)*
          Cf[z]^13*tS0[z] + ((9833381444435*z^4)/71663616 - 
           (41831169922225*z^5)/165888 + (2720154013055*z^6)/24)*Cf[z]^11*
          tS0[z]^2)*tS1[z] + (((-851269272404535569*z^12)/86664496357048320 + 
           (28062433810675109123*z^13)/534966026895360 - 
           (122750584015328172827*z^14)/1238347284480 + 
           (2804345291332207695089*z^15)/34398535680 - 
           (298395578823638230381*z^16)/13271040 - 
           (88583033844471505567*z^17)/15360 + (4172647687356711154371*z^18)/
            1280)*Cf[z]^14 + ((-500524958995*z^6)/107495424 + 
           (3395072203445*z^7)/186624 - (4762494330862517*z^8)/221184 + 
           (4137192084762669*z^9)/512)*Cf[z]^12*tS0[z] + 
         (75732481445*Cf[z]^10*tS0[z]^2)/13824)*tS1[z]^2 + 
       (((-1408525063538575*z^8)/1671768834048 - (5015278319345765*z^9)/
            967458816 + (402219567149027621*z^10)/23887872 - 
           (10257082809362419501*z^11)/663552 + (7083196682366488117*z^12)/
            1536)*Cf[z]^13 + ((-139022323525*z^2)/124416 + 
           (7504425294055*z^3)/6912)*Cf[z]^11*tS0[z])*tS1[z]^3 + 
       ((405870123562475*z^4)/322486272 - (14245323795307595*z^5)/5971968 + 
         (15453656730325357*z^6)/13824)*Cf[z]^12*tS1[z]^4 + 
       (765875120365*Cf[z]^11*tS1[z]^5)/31104) + 
     S2[z]^13*(((6648060909088325459669*z^22)/12520753434534057951017041920 - 
         (17253691089983085868373*z^23)/4968552950211927758340096 + 
         (190851706455216959074481*z^24)/20127239960349244391424 - 
         (133624902987007953310679*z^25)/9706423591989411840 + 
         (12810899138688166923085507*z^26)/1198323900245606400 - 
         (2716783950860591622083453*z^27)/951050714480640 - 
         (21545144951056787678369917*z^28)/9631589990400 + 
         (433042889471088702173312453*z^29)/178362777600 - 
         (390655939966682032254443*z^30)/409600 + 
         (462556710695159657341954647*z^31)/2867200 - 
         (599017126147110795115745991*z^32)/89600 + 
         (68178251453319223963925319*z^33)/1600)*Cf[z]^16 + 
       ((-196963638686463269329*z^16)/50318099900873110978560 + 
         (609258735133152924047*z^17)/29119270775968235520 - 
         (911886004687853824487*z^18)/19258776968232960 + 
         (3667353893732239426517*z^19)/62412703137792 - 
         (123829335321313960967957*z^20)/2889476997120 + 
         (29818088660397104156839*z^21)/1672151040 - 
         (26311753189767969847951*z^22)/7741440 - 
         (193970087233339265035*z^23)/1792 + (62912886704231619681333*z^24)/
          560)*Cf[z]^14*tS0[z] + ((103646718326431*z^10)/4458050224128 - 
         (164858357509903*z^11)/1934917632 + (7960519431142225*z^12)/
          71663616 - (743331302734021*z^13)/12288 + (30410380226094893*z^14)/
          3072 + (76759897086804735*z^15)/64)*Cf[z]^12*tS0[z]^2 + 
       ((-690809290105*z^4)/53747712 + (5685311506175*z^5)/124416 - 
         (7772579105905*z^6)/288)*Cf[z]^10*tS0[z]^3 + 
       (((-901673273425022857937*z^18)/1207634397620954663485440 + 
           (89415308147669999529253*z^19)/16772699966957703659520 - 
           (115978161161194662231997*z^20)/7765138873591529472 + 
           (970745330341203885973193*z^21)/44937146259210240 - 
           (7070996349759286451858923*z^22)/416084687585280 + 
           (868787119269148729723157*z^23)/137594142720 + 
           (4228487336300155619381*z^24)/55738368 - 
           (2205615137841395615027153*z^25)/2580480 + 
           (38090507100990959094331269*z^26)/179200 - 
           (23755821660484885522532043*z^27)/5600)*Cf[z]^15 + 
         ((2163588566662020053*z^12)/1213302948998676480 - 
           (8394487651865903647*z^13)/936190547066880 + 
           (39992892341462036209*z^14)/2167107747840 - 
           (618255310824052214003*z^15)/30098718720 + 
           (31084561013467864601*z^16)/2322432 - (53083614936669669385*z^17)/
            10752 + (455739101538527011011*z^18)/560)*Cf[z]^13*tS0[z] + 
         ((-1703525740109*z^6)/214990848 + (94034476817509*z^7)/2985984 - 
           (936199043113811*z^8)/27648 + (715305676096657*z^9)/64)*Cf[z]^11*
          tS0[z]^2 - (25605253435*Cf[z]^9*tS0[z]^3)/5184)*tS1[z] + 
       (((-440463246557265571*z^14)/11647708310387294208 - 
           (158839792242064549211*z^15)/115552661809397760 + 
           (1035237511389758401919*z^16)/178322008965120 - 
           (2690808280209295890157*z^17)/288947699712 + 
           (144464205855179198180513*z^18)/20065812480 - 
           (31176925777760006001061*z^19)/12386304 + 
           (11169995872343998191591*z^20)/71680 + (723491092329869016770049*
             z^21)/8960)*Cf[z]^14 + ((738233146154725*z^8)/2229025112064 - 
           (3548941015763183*z^9)/2579890176 + (3190391408350547*z^10)/
            1327104 - (26235267240741197*z^11)/13824 + 
           (71025093265372847*z^12)/128)*Cf[z]^12*tS0[z] + 
         ((-110985251525*z^2)/41472 + (36682557155*z^3)/18)*Cf[z]^10*
          tS0[z]^2)*tS1[z]^2 + (((60204683004793085*z^10)/160489808068608 - 
           (2054531001664200943*z^11)/2229025112064 + 
           (18389358052618041643*z^12)/51597803520 + 
           (15623960822302878667*z^13)/19906560 - (458822956849297282771*
             z^14)/552960 + (299743533160995193543*z^15)/1280)*Cf[z]^13 + 
         ((40453729885015*z^4)/322486272 - (213549523293785*z^5)/746496 + 
           (32783292887657*z^6)/216)*Cf[z]^11*tS0[z])*tS1[z]^3 + 
       (((-3198857856392365*z^6)/30958682112 + (142493150923796675*z^7)/
            429981696 - (334705158778554889*z^8)/995328 + 
           (127709607135235057*z^9)/1152)*Cf[z]^12 + 
         (519752151205*Cf[z]^10*tS0[z])/124416)*tS1[z]^4 + 
       ((-28185046897775*z^2)/2985984 + (335029298968855*z^3)/41472)*Cf[z]^11*
        tS1[z]^5) + S2[z]^12*
      (((-8739688746011482823791*z^24)/540896548371871303483936210944 + 
         (192244582144603224093785*z^25)/1252075343453405795101704192 - 
         (1081267172574314711434867*z^26)/1811451596431431995228160 + 
         (288048768317868936043650917*z^27)/223635999559436048793600 - 
         (84940378196704008394141169*z^28)/49302469038676377600 + 
         (177597513591676780046549689*z^29)/119832390024560640 - 
         (106273740355179470221465037*z^30)/132090377011200 + 
         (1569072208278103919666450131*z^31)/6421059993600 - 
         (54969206879301798052835417*z^32)/2972712960 - 
         (162461614957644941444460697*z^33)/12902400 + 
         (2788334002681039601558535459*z^34)/716800 - 
         (215066091655649196326806857*z^35)/640 + 
         (60955049147886385812389928843*z^36)/5600)*Cf[z]^16 + 
       ((6882507855819638899*z^18)/75477149851309666467840 - 
         (3575351693730286043507*z^19)/4193174991739425914880 + 
         (18701306534940984439517*z^20)/6470949061326274560 - 
         (33045223765777292441431*z^21)/6419592322744320 + 
         (1140567958168811993136133*z^22)/208042343792640 - 
         (585451712939025444634637*z^23)/160526499840 + 
         (833937300456731460050399*z^24)/557383680 - 
         (447040713037642414290991*z^25)/1290240 + 
         (2959210033849301790057921*z^26)/89600 + 
         (4481663810651900734988061*z^27)/5600)*Cf[z]^14*tS0[z] + 
       ((12538699524929443*z^12)/40443431633289216 + (66135097587957197*z^13)/
          31206351568896 - (385450558355088881*z^14)/48157949952 + 
         (4911737735590003273*z^15)/501645312 - (257758653295462843*z^16)/
          48384 + (2110047821382902091*z^17)/1792 - 
         (23474679846391127583*z^18)/560)*Cf[z]^12*tS0[z]^2 + 
       ((-1841715253331*z^6)/322486272 + (24921626795761*z^7)/4478976 + 
         (5097034567411*z^8)/4608 - (153461999684831*z^9)/96)*Cf[z]^10*
        tS0[z]^3 + (41371044395*Cf[z]^8*tS0[z]^4)/10368 + 
       (((-47645291526410545267*z^20)/8694967662870873577095168 - 
           (46304204543391831051331*z^21)/603817198810477331742720 + 
           (14944888055451294374503*z^22)/29119270775968235520 - 
           (3452843143594742975922637*z^23)/2696228775552614400 + 
           (57350146523363193443242567*z^24)/33286775006822400 - 
           (39503538027464247992327893*z^25)/28894769971200 + 
           (337735636759558262964413333*z^26)/535088332800 - 
           (44915383233454541765057987*z^27)/309657600 + 
           (12251917396289600190750067*z^28)/2867200 + 
           (159813255271771107348926373*z^29)/44800 - 
           (1937125461005873903688244569*z^30)/11200)*Cf[z]^15 + 
         ((16473914431707571*z^14)/181995442349801472 - 
           (7889903355791214887*z^15)/101108579083223040 - 
           (4992959597077010693*z^16)/10402117189632 + 
           (126009916936889876483*z^17)/103195607040 - 
           (1865922063976532647777*z^18)/1433272320 + 
           (279091857878368554797*z^19)/368640 - (2170303223509224407809*
             z^20)/8960 + (4826227355437765485771*z^21)/140)*Cf[z]^13*
          tS0[z] + ((-241788968975225*z^8)/185752092672 + 
           (259857209139473*z^9)/214990848 + (976433983631039*z^10)/663552 - 
           (9787914575008373*z^11)/4608 + (10705089554706777*z^12)/16)*
          Cf[z]^11*tS0[z]^2 + ((80545566475*z^2)/31104 - (400016290105*z^3)/
            216)*Cf[z]^9*tS0[z]^3)*tS1[z] + 
       (((76660155952047633625*z^16)/1677269996695770365952 - 
           (935940698082949456145*z^17)/5823854155193647104 + 
           (18970456993990990685237*z^18)/134811438777630720 + 
           (1611118274377533830291*z^19)/9906778275840 - 
           (2499200975243490998906059*z^20)/5778953994240 + 
           (19044041600655194558119*z^21)/52254720 - 
           (362798171673101320007731*z^22)/2580480 + 
           (98795609334136586996533*z^23)/5120 + (21281927976549907940511747*
             z^24)/22400)*Cf[z]^14 + ((-298207118093875*z^10)/3343537668096 + 
           (12090668722067657*z^11)/46438023168 - (998258442739974187*z^12)/
            2866544640 + (5640622213726471081*z^13)/19906560 - 
           (1417858110035358047*z^14)/10240 + (19444312814764996617*z^15)/
            640)*Cf[z]^12*tS0[z] + ((11157011352205*z^4)/17915904 - 
           (38416241990005*z^5)/41472 + (706437625881*z^6)/2)*Cf[z]^10*
          tS0[z]^2)*tS1[z]^2 + 
       (((-3713770122212547875*z^12)/121330294899867648 + 
           (73332674806082424955*z^13)/561714328240128 - 
           (530327584130458135135*z^14)/2600529297408 + 
           (656176675018600047323*z^15)/5016453120 - 
           (5279105676167272717799*z^16)/557383680 - 
           (8283791870647388753729*z^17)/322560 + (75538738308176811667257*
             z^18)/8960)*Cf[z]^13 + ((87407616025*z^6)/241864704 + 
           (119323032299105*z^7)/6718464 - (2420742014460199*z^8)/82944 + 
           (6989738398628813*z^9)/576)*Cf[z]^11*tS0[z] + 
         (32136991135*Cf[z]^9*tS0[z]^2)/5184)*tS1[z]^3 + 
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        Cf[z]^5*tS1[z]^11)
 
Ff[10] = 24950386930815161025998282306922721525671433/
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         (2102064726730670686861641*z^26)/4000 - 
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       ((-357763847051*z^12)/846526464 + (2780559382187*z^13)/1959552 - 
         (51505453019009*z^14)/27216 + (1969913373804553*z^15)/1512 - 
         (62065851512264735*z^16)/126 + (682556752930607736*z^17)/7 - 
         (55468507397525399808*z^18)/7)*Cf[z]^7*tS0[z] + 
       ((190633085*z^6)/27 - 9264648360*z^7 + 4039503190880*z^8 - 
         585234937658880*z^9)*Cf[z]^5*tS0[z]^2 + 1006080000*Cf[z]^3*tS0[z]^3)*
      tS1[z]^9 + (((-9140519859563*z^14)/2925595459584 + 
         (9003111375244529*z^15)/812665405440 - (123936347258051837*z^16)/
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         (46045928435934093*z^18)/7168 + (3074888120688535799*z^19)/1680 - 
         (80343776729179674693*z^20)/280 + (133907400726327418626*z^21)/7)*
        Cf[z]^8 + ((44741425*z^8)/648 - (3173316005*z^9)/27 + 
         74644227230*z^10 - 20955643955040*z^11 + 2193336000714240*z^12)*
        Cf[z]^6*tS0[z] + (87960000*z^2 - 38700288000*z^3)*Cf[z]^4*tS0[z]^2)*
      tS1[z]^10 + (((545112425*z^10)/3359232 - (28323431225*z^11)/93312 + 
         (566072539315*z^12)/2592 - (2664551183165*z^13)/36 + 
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       ((7135000*z^4)/3 - 2088240000*z^5 + 457138944000*z^6)*Cf[z]^5*tS0[z])*
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         (32806399600*z^8)/3 - 1578450355200*z^9)*Cf[z]^6 + 
       5760000*Cf[z]^4*tS0[z])*tS1[z]^12 + ((500000*z^2)/3 - 72960000*z^3)*
      Cf[z]^5*tS1[z]^13 + S2[z]^25*(((23308721850575*z^4)/2038431744 - 
         (189069926127625*z^5)/4718592 + (1775696138794875*z^6)/65536)*
        Cf[z]^18 + (970491588275*Cf[z]^17*tS1[z])/196608) + 
     S2[z]^24*(((22169120494375*z^6)/24461180928 + (769203025347275*z^7)/
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       ((-4823900264375*z^2)/2359296 + (76503200947125*z^3)/32768)*Cf[z]^17*
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         (6540960225319045*z^9)/8153726976 - (4594664625818915*z^10)/
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         (5829514495402483215*z^12)/16384)*Cf[z]^18 + 
       ((-247560329125*z^2)/589824 + (3743866531925*z^3)/8192)*Cf[z]^16*
        tS0[z] + ((133571774504875*z^4)/509607936 - (631006697500775*z^5)/
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       (4341022686625*Cf[z]^16*tS1[z]^2)/98304) + 
     S2[z]^22*(((16399932776544155*z^10)/760840571584512 - 
         (1401649114641340805*z^11)/10567230160896 + 
         (10627681696788444805*z^12)/48922361856 - (3862914396689059645*z^13)/
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         (386724892727593177983*z^15)/16384)*Cf[z]^18 + 
       ((15968105069275*z^4)/254803968 - (16398495525875*z^5)/98304 + 
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       (((299350465810205*z^6)/36691771392 + (15549436379443085*z^7)/
            254803968 - (647084570184062105*z^8)/4718592 + 
           (2210311433434890855*z^9)/32768)*Cf[z]^17 + 
         (389746369675*Cf[z]^15*tS0[z])/24576)*tS1[z] + 
       ((-128742071495125*z^2)/7077888 + (1944826276180225*z^3)/98304)*
        Cf[z]^16*tS1[z]^2) + S2[z]^21*
      (((5468996802762207875*z^12)/2958148142320582656 + 
         (1830405006364974935*z^13)/2282521714753536 - 
         (94136092138624043375*z^14)/5283615080448 + 
         (1052126472232531276601*z^15)/36691771392 - 
         (438285207844446050555*z^16)/28311552 + (3447520942687494545*z^17)/
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       ((-6445328789695*z^6)/4586471424 + (2291639303819315*z^7)/127401984 - 
         (34962930710571095*z^8)/1179648 + (107277013961984205*z^9)/8192)*
        Cf[z]^16*tS0[z] + (205287612775*Cf[z]^14*tS0[z]^2)/73728 + 
       (((-517299889726468375*z^8)/95105071448064 + (1217809088885523875*z^9)/
            110075314176 + (109156263942805895*z^10)/84934656 - 
           (15112051817665176395*z^11)/1179648 + (24716615422901381481*z^12)/
            4096)*Cf[z]^17 + ((-2930683028125*z^2)/442368 + 
           (42721221961675*z^3)/6144)*Cf[z]^15*tS0[z])*tS1[z] + 
       ((23084886739392875*z^4)/9172942848 - (145461089862842125*z^5)/
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       (591877863322625*Cf[z]^15*tS1[z]^3)/2654208) + 
     S2[z]^20*(((-698206251066080825*z^14)/1972098761547055104 + 
         (1679586429017285210995*z^15)/1150390944235782144 - 
         (6034704553255416114599*z^16)/3550589334061056 - 
         (2635264832563671080327*z^17)/8218956791808 + 
         (55761457025470737296471*z^18)/28538044416 - 
         (28032013780602266166065*z^19)/22020096 + 
         (182315867115077635656789*z^20)/917504 + 
         (2026278169184176886455551*z^21)/57344)*Cf[z]^18 + 
       ((-16641817551452975*z^8)/23776267862016 + (21850530749667325*z^9)/
          27518828544 + (75995889073931995*z^10)/42467328 - 
         (900771372431900065*z^11)/294912 + (2431390025855510085*z^12)/2048)*
        Cf[z]^16*tS0[z] + ((-502671147125*z^2)/442368 + (56457285325*z^3)/48)*
        Cf[z]^14*tS0[z]^2 + (((29498585427376525*z^10)/63403380965376 - 
           (5998147919366402195*z^11)/2641807540224 + 
           (78895254885387491993*z^12)/24461180928 - 
           (8414538114213565901*z^13)/7077888 - (80512963379256257399*z^14)/
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           (7860791573175739481*z^17)/28672 + (244160452903414605184233*z^18)/
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     S2[z]^18*(((554551873819833467215*z^18)/429381119154117213683712 - 
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        Cf[z]^14*tS1[z]^4) + S2[z]^17*
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        Cf[z]^14*tS0[z]^2 + ((1115261875*z^2)/5184 - (8652569975*z^3)/24)*
        Cf[z]^12*tS0[z]^3 + 
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           (1458307554422833745415*z^17)/14336 + (368157424111348147324281*
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         ((-530239828574435*z^6)/5159780352 + (7081823226653315*z^7)/
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           (186210948088122662997590520321*z^30)/44800)*Cf[z]^17 + 
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           (684804299461122434137*z^15)/202217158166446080 + 
           (9148749860880346695061*z^16)/312063515688960 - 
           (10927071834362554659815*z^17)/192631799808 + 
           (233450226567293220317467*z^18)/5016453120 - 
           (27103162202222016296021*z^19)/1935360 - 
           (829343883468653337989*z^20)/448 + (449718940165191207742269*z^21)/
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           (12672348018828141680985413883941*z^32)/
            2989578466332738846720000 + (1419956730854003678346036054517*
             z^33)/314560023814471680000 - (512893456576700067741185576855413*
             z^34)/144173344248299520000 + (150944741516913317882298798574127*
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             z^36)/12713698787328000 + (47326857311364433498667481970190021*
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             z^38)/794787840000 + (40714049242462393098983080578370053*z^39)/
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            68992000 + (3008632100459100360236145988786303011*z^41)/
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            60 + (851805825270018174*z^14)/5 - (75439814203368651744*z^15)/5)*
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         ((-74725532140369139*z^18)/210642873090048000 + 
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           (57053836611595613969118711*z^26)/14000 + 
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         ((77611549085237*z^12)/14108774400 - (1727479286849521*z^13)/
            130636800 + (275071109443275409*z^14)/21772800 - 
           (1814700611140866227*z^15)/302400 + (4767936116377808539*z^16)/
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           (37023532739921115144*z^18)/175)*Cf[z]^7*tS0[z]^2 + 
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           1770000564120192*z^9)*Cf[z]^5*tS0[z]^3 - 11115388800*Cf[z]^3*
          tS0[z]^4)*tS1[z]^7 + 
       (((4923491438881163*z^20)/1819954423498014720 - 
           (1957784142947104163*z^21)/140428582060032000 + 
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         ((-15204596279269*z^14)/203166351360 + (16071693320656831*z^15)/
            56435097600 - (29641293665007191*z^16)/65318400 + 
           (357638978323931947*z^17)/907200 - (81547930073942172187*z^18)/
            403200 + (34393310739110203161*z^19)/560 - 
           (1791845758728028546596*z^20)/175 + (126714605200806512262528*
             z^21)/175)*Cf[z]^8*tS0[z] + ((4859920445*z^8)/5184 - 
           (14545960685*z^9)/8 + (3920762749220*z^10)/3 - 
           413029012995240*z^11 + 48462839622142560*z^12)*Cf[z]^6*tS0[z]^2 + 
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       (((-1837475923643165*z^16)/2527714477080576 + (28397826846750467*z^17)/
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           (170704537666066082303*z^22)/640 + (7031104762404193555347*z^23)/
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         ((49631969825*z^10)/3359232 - (3175187205395*z^11)/93312 + 
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         ((-183512500*z^4)/9 + 15527242000*z^5 - 2867913302400*z^6)*Cf[z]^5*
          tS0[z]^2)*tS1[z]^9 + (((60731764998917*z^12)/1218998108160 - 
           (20178857569313*z^13)/156764160 + (9514949665390957*z^14)/
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           (758058426345211639*z^16)/32256 - (2141550788008635789*z^17)/560 + 
           (18136279844554565979*z^18)/70)*Cf[z]^8 + 
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           18066678039360*z^9)*Cf[z]^6*tS0[z] - 164016000*Cf[z]^4*tS0[z]^2)*
        tS1[z]^10 + (((1760820175*z^8)/559872 - (1324586405*z^9)/216 + 
           (13273811630*z^10)/3 - 1402030766080*z^11 + 164801067788880*z^12)*
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        tS1[z]^11 + ((-15419375*z^4)/324 + 35282500*z^5 - 6291612000*z^6)*
        Cf[z]^6*tS1[z]^12 - 280000*Cf[z]^5*tS1[z]^13)
 
Ff[11] = 667860352699236836501556543374299261966845919161313/
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303832328090488525068136527126043936061635611153783073164754944000000 + 
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         (285927094813062557964710162964503941928001*z^48)/7962500)*
        Cf[z]^13 + ((3369940927975004421631*z^26)/
          36323378365942776987648000 - (75274966884633940711993*z^27)/
          112109192487477706752000 + (464898791009573983171495781*z^28)/
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          2861236224000 - (198208004232466076249417656359124939*z^35)/
          894136320000 + (37118679427607100318591000688067101*z^36)/
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         (2747930843770210817909493551008604379*z^38)/5390000 - 
         (6540704431041460013408375704602360243*z^39)/336875)*Cf[z]^11*
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         (1806676197741159791569027973*z^27)/460800 - 
         (16266765921938994431686667247*z^28)/22400 + 
         (553090332058314097924804791897*z^29)/7000 - 
         (3357854019542453899682700879606*z^30)/875)*Cf[z]^9*tS0[z]^2 + 
       ((14311856388533*z^14)/282175488 - (28680641042439037*z^15)/
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         (40943617224200557309*z^17)/181440 + (366825151533559931053*z^18)/
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         (172262206047662048344608*z^20)/35 - (11506528043966276605132416*
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         (9287524669105*z^9)/18 - 326106201308810*z^10 + 
         91094095923204960*z^11 - 9483459756718256640*z^12)*Cf[z]^5*
        tS0[z]^4 + (-219355920000*z^2 + 97121551564800*z^3)*Cf[z]^3*tS0[z]^5)*
      tS1[z]^7 + (((848742982308871701027043*z^28)/
          7532015737961894236158689280000 - (9461654775325193754592157*z^29)/
          9510120881265017974947840000 + (2997543801226199835314957911*z^30)/
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         (777381031029125469382153*z^24)/3370285969440768000 + 
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         (620134264056543503781274982541*z^32)/4000 + 
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       ((23196326858034403*z^16)/58511909191680 - (39590338660587707*z^17)/
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         (2604362510241773327*z^19)/1075200 + (476568849695032319479*z^20)/
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         (60381489490626784124613*z^22)/560 - (2313851402815478611050744*
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         (190320508818605*z^12)/72 + 651616111285135*z^13 - 
         28786068402404040*z^14 - 7693332582209074560*z^15)*Cf[z]^6*
        tS0[z]^3 + (-15013466500*z^4 + 13273790400000*z^5 - 
         2926587708288000*z^6)*Cf[z]^4*tS0[z]^4)*tS1[z]^8 + 
     (((6823731146165417468407*z^24)/233507432352489280634880000 - 
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         (404815150627754409354180876143229*z^35)/1540000 + 
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       ((-95180473484510857*z^18)/105321436545024000 + 
         (42890607191369322131*z^19)/8776786378752000 - 
         (60751898857077439073*z^20)/5224277606400 + 
         (71292649436661079616347*z^21)/4514807808000 - 
         (1687008611369677152991243*z^22)/125411328000 + 
         (26003362802457142252834231*z^23)/3483648000 - 
         (785152895918103868724800867*z^24)/290304000 + 
         (138582545004403760054466403*z^25)/224000 - 
         (1138068160295731214366792421*z^26)/14000 + 
         (4102343805920329004928211377*z^27)/875)*Cf[z]^9*tS0[z] + 
       ((377797797334429*z^12)/12697896960 - (3244413261942533*z^13)/
          29393280 + (5320936598942653*z^14)/34020 - 
         (848232954292009189*z^15)/7560 + (5508561167850835741*z^16)/126 - 
         (310041759557060100888*z^17)/35 + (25674781547872039832064*z^18)/35)*
        Cf[z]^7*tS0[z]^2 + ((-4435366070*z^6)/9 + (1945251860080*z^7)/3 - 
         283603699522880*z^8 + 41234168150369280*z^9)*Cf[z]^5*tS0[z]^3 - 
       46238976000*Cf[z]^3*tS0[z]^4)*tS1[z]^9 + 
     (((-119905265238807439*z^20)/7799804672134348800 + 
         (153218508337292485589*z^21)/1895785857810432000 - 
         (26611672046712876171329*z^22)/140428582060032000 + 
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         (70998884524390027005818813*z^25)/501645312000 - 
         (3389514184006276339004237*z^26)/57344000 + 
         (16900509806737707364260071*z^27)/1008000 - 
         (172961310293378559904623003*z^28)/56000 + 
         (582095748155832197134490493*z^29)/1750 - 
         (1968851512500232343535802629*z^30)/125)*Cf[z]^10 + 
       ((14224751939615*z^14)/23219011584 - (99932457984254459*z^15)/
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         (17932201741223049227*z^17)/6531840 + (92119734873647061911*z^18)/
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         (8472618537954326979039*z^20)/140 - (141960525714996244396668*z^21)/
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         (1062854613805*z^9)/81 - 8409106467510*z^10 + 2385131577926880*
          z^11 - 252574364567738880*z^12)*Cf[z]^6*tS0[z]^2 + 
       (-5403600000*z^2 + 2381612544000*z^3)*Cf[z]^4*tS0[z]^3)*tS1[z]^10 + 
     (((232239968629663*z^16)/105321436545024 - (50733991848499111*z^17)/
          5851190919168 + (494890542466908569*z^18)/33861058560 - 
         (8685015654315656209*z^19)/627056640 + (80595418646490081889*z^20)/
          9953280 - (90714302503004868623*z^21)/30240 + 
         (48328880124811718287*z^22)/70 - (12717193675023415032633*z^23)/
          140 + (185455835481775066985268*z^24)/35)*Cf[z]^9 + 
       ((-8153730875*z^10)/186624 + (1343544135425*z^11)/15552 - 
         (86978229532465*z^12)/1296 + (458447118037615*z^13)/18 - 
         4683022337126340*z^14 + 329140946287391040*z^15)*Cf[z]^7*tS0[z] + 
       ((-1990805000*z^4)/9 + 194626480000*z^5 - 42707029248000*z^6)*Cf[z]^5*
        tS0[z]^2)*tS1[z]^11 + 
     (((1162761564781*z^12)/121899810816 - (59644286191429*z^13)/564350976 + 
         (4303979793438659*z^14)/20901888 - (16843598736868277*z^15)/96768 + 
         (1214284520672750099*z^16)/16128 - (922411101433519077*z^17)/56 + 
         (10189576182750545691*z^18)/7)*Cf[z]^8 + 
       ((-395032625*z^6)/108 + (43165394500*z^7)/9 - (6271900532000*z^8)/3 + 
         302948720640000*z^9)*Cf[z]^6*tS0[z] - 485760000*Cf[z]^4*tS0[z]^2)*
      tS1[z]^12 + (((-1372075375*z^8)/69984 + (32783773775*z^9)/972 - 
         (195125287975*z^10)/9 + 6170892177200*z^11 - 656123003827200*z^12)*
        Cf[z]^7 + (-28200000*z^2 + 12372480000*z^3)*Cf[z]^5*tS0[z])*
      tS1[z]^13 + ((-10356250*z^4)/27 + (1007600000*z^5)/3 - 73350720000*z^6)*
      Cf[z]^6*tS1[z]^14 - 640000*Cf[z]^5*tS1[z]^15 + 
     S2[z]^28*(((1109730072273125*z^4)/8153726976 - (680861387068375*z^5)/
          1179648 + (55629350016077175*z^6)/131072)*Cf[z]^20 + 
       (62731556256875*Cf[z]^19*tS1[z])/786432) + 
     S2[z]^27*(((1973987219253625*z^6)/97844723712 + (9343598993800075*z^7)/
          452984832 - (336835210110780875*z^8)/3145728 + 
         (4198413890189492325*z^9)/65536)*Cf[z]^20 + 
       (8564994191875*Cf[z]^18*tS0[z])/393216 + 
       ((-311249634717125*z^2)/9437184 + (5318215031744325*z^3)/131072)*
        Cf[z]^19*tS1[z]) + S2[z]^26*
      (((-21334489291410025*z^8)/3962711310336 + (2228335438643054365*z^9)/
          146767085568 - (1315751052946413005*z^10)/226492416 - 
         (8218585504949113505*z^11)/786432 + (215420931859696887645*z^12)/
          32768)*Cf[z]^20 + ((-10854995922875*z^2)/1179648 + 
         (357172795885975*z^3)/32768)*Cf[z]^18*tS0[z] + 
       ((11373903141075575*z^4)/3057647616 - (194348563788966125*z^5)/
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       (256940481013825*Cf[z]^18*tS1[z]^2)/294912) + 
     S2[z]^25*(((314349300293773565*z^10)/1521681143169024 - 
         (43243684339791489565*z^11)/21134460321792 + 
         (24470352868487251205*z^12)/6115295232 - (83309781868107162625*z^13)/
          37748736 - (56272614468654526855*z^14)/131072 + 
         (3939747985513665961155*z^15)/8192)*Cf[z]^20 + 
       ((3565415695315775*z^4)/3057647616 - (27055142774189875*z^5)/7077888 + 
         (82719208215085075*z^6)/32768)*Cf[z]^18*tS0[z] + 
       (((24562537899440465*z^6)/73383542784 + (751826298045109235*z^7)/
            1019215872 - (365407286155376155*z^8)/147456 + 
           (44918452833107014785*z^9)/32768)*Cf[z]^19 + 
         (131388880690175*Cf[z]^17*tS0[z])/294912)*tS1[z] + 
       ((-5063898659869375*z^2)/14155776 + (82814232278117975*z^3)/196608)*
        Cf[z]^18*tS1[z]^2) + S2[z]^24*
      (((102910045784788657225*z^12)/1972098761547055104 - 
         (34877457386083020025*z^13)/507227047723008 - 
         (406701795529679479615*z^14)/1761205026816 + 
         (25691299625864237947901*z^15)/48922361856 - 
         (1366271418643654927067*z^16)/4194304 + 
         (5818541107548823538025*z^17)/262144 + 
         (416775981559345911593253*z^18)/16384)*Cf[z]^20 + 
       ((1857288554283935*z^6)/36691771392 + (144470808722541815*z^7)/
          509607936 - (68607571157326705*z^8)/98304 + 
         (733182674926256475*z^9)/2048)*Cf[z]^18*tS0[z] + 
       (20593505988025*Cf[z]^16*tS0[z]^2)/294912 + 
       (((-7102349785929438125*z^8)/63403380965376 + 
           (6878181872892726305*z^9)/24461180928 - (2228388584413919245*z^10)/
            37748736 - (379332834443728648835*z^11)/1572864 + 
           (4382900867223184505175*z^12)/32768)*Cf[z]^19 + 
         ((-656638407298375*z^2)/3538944 + (10377946796839325*z^3)/49152)*
          Cf[z]^17*tS0[z])*tS1[z] + ((267901190552213425*z^4)/6115295232 - 
         (675239056880905225*z^5)/4718592 + (3081018526444339355*z^6)/32768)*
        Cf[z]^18*tS1[z]^2 + (9787117643778475*Cf[z]^17*tS1[z]^3)/1769472) + 
     S2[z]^23*(((-74229583327503039445*z^14)/11832592569282330624 + 
         (36961491532954063155805*z^15)/1150390944235782144 - 
         (172575492208263542218633*z^16)/3550589334061056 + 
         (28690248367906087816901*z^17)/2739652263936 + 
         (980799441822270241489079*z^18)/28538044416 - 
         (609000517612025321440183*z^19)/22020096 + 
         (4226272869872552386870611*z^20)/917504 + 
         (54736482908850861520399401*z^21)/57344)*Cf[z]^20 + 
       ((-421227204054595175*z^8)/15850845241344 + (2108518439602815245*z^9)/
          36691771392 + (2482384259892625*z^10)/393216 - 
         (27979340154352582625*z^11)/393216 + (283699103180075183655*z^12)/
          8192)*Cf[z]^18*tS0[z] + ((-5755534788875*z^2)/196608 + 
         (264894353230625*z^3)/8192)*Cf[z]^16*tS0[z]^2 + 
       (((2403693034491205265*z^10)/380420285792256 - 
           (232623288404272096445*z^11)/5283615080448 + 
           (1851671887735874219921*z^12)/24461180928 - 
           (508579135844072786029*z^13)/14155776 - 
           (1480515567948337934973*z^14)/131072 + (9518343952014423558099*
             z^15)/1024)*Cf[z]^19 + ((18937921876145575*z^4)/764411904 - 
           (260535186755630575*z^5)/3538944 + (378721569626123345*z^6)/8192)*
          Cf[z]^17*tS0[z])*tS1[z] + 
       (((73538172037034915*z^6)/36691771392 + (5091729217946992135*z^7)/
            509607936 - (117969774720178241875*z^8)/4718592 + 
           (419670846445209394245*z^9)/32768)*Cf[z]^18 + 
         (581187807162025*Cf[z]^16*tS0[z])/147456)*tS1[z]^2 + 
       ((-23842732448266375*z^2)/10616832 + (373178671650628375*z^3)/147456)*
        Cf[z]^17*tS1[z]^3) + S2[z]^22*
      (((-1047151981585080256385*z^16)/214690559577058606841856 - 
         (792885395635993411051385*z^17)/496968887909857886208 + 
         (14924824049178372379769849*z^18)/2300781888471564288 - 
         (101939038913015895631823219*z^19)/10651768002183168 + 
         (134677819194861386525241301*z^20)/24656870375424 + 
         (7247568737893792426009403*z^21)/28538044416 - 
         (46273437933944634839775575*z^22)/33030144 + 
         (317722068810299991943474563*z^23)/917504 + 
         (1339228739047595570026493337*z^24)/57344)*Cf[z]^20 + 
       ((754045191907260475*z^10)/380420285792256 - 
         (58483888024198677005*z^11)/5283615080448 + 
         (409328798914316239181*z^12)/24461180928 - 
         (341842729103378936911*z^13)/56623104 - (525928537335131702181*z^14)/
          131072 + (19702566605779618751847*z^15)/8192)*Cf[z]^18*tS0[z] + 
       ((3078256903527425*z^4)/764411904 - (10043076683879525*z^5)/884736 + 
         (56515881741088685*z^6)/8192)*Cf[z]^16*tS0[z]^2 + 
       (((949160622311394508705*z^12)/1294189812265254912 - 
           (2258902205781901694225*z^13)/15977652003274752 - 
           (214070395492767340850845*z^14)/36985305563136 + 
           (5175311773935227387743283*z^15)/513684799488 - 
           (2193278961740810027407541*z^16)/396361728 + 
           (164706377146348009357757*z^17)/917504 + 
           (26764003847277931417568613*z^18)/57344)*Cf[z]^19 + 
         ((5721049604240725*z^6)/18345885696 + (809325294334132625*z^7)/
            127401984 - (30424227501088010545*z^8)/2359296 + 
           (101380468410307984695*z^9)/16384)*Cf[z]^17*tS0[z] + 
         (85321667817725*Cf[z]^15*tS0[z]^2)/73728)*tS1[z] + 
       (((-46724664248850547025*z^8)/47552535724032 + 
           (472927448343547119085*z^9)/220150628352 + 
           (27093646543186719335*z^10)/339738624 - 
           (11342508183633908606615*z^11)/4718592 + 
           (38780750241017901010455*z^12)/32768)*Cf[z]^18 + 
         ((-5706468141441125*z^2)/3538944 + (86566793479264825*z^3)/49152)*
          Cf[z]^16*tS0[z])*tS1[z]^2 + ((1009305369718814075*z^4)/3439853568 - 
         (54730161867460857875*z^5)/63700992 + (39360557189668942025*z^6)/
          73728)*Cf[z]^17*tS1[z]^3 + (59991781962099925*Cf[z]^16*tS1[z]^4)/
        2654208) + S2[z]^21*(((236393991304937456211475*z^18)/
          5152573429849406564204544 - (1353727311828032608630585*z^19)/
          7951502206557726179328 + (323227716778241236431181*z^20)/
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           (1953123456942055946784979*z^24)/240734712102912000 + 
           (23579862161150176045648363*z^25)/1872381094133760 - 
           (5589647201989497970344905971*z^26)/433421549568000 + 
           (110219837348496558966927992057*z^27)/12039487488000 - 
           (659260002281086050972036052067*z^28)/143327232000 + 
           (11402983440113718485044240212347*z^29)/6967296000 - 
           (6521824722328203285702796679233*z^30)/16128000 + 
           (1480856265630755116678957256577*z^31)/22400 - 
           (22539031954077529831928385663927*z^32)/3500 + 
           (49591601885824906869598907164896*z^33)/175)*Cf[z]^10*tS0[z]^2 + 
         ((306524831610331919*z^16)/39007939461120 - 
           (1863393978433245037*z^17)/58047528960 + 
           (2125026192941450589437*z^18)/37623398400 - 
           (361471335405498916579*z^19)/6451200 + (142396236427898927063081*
             z^20)/4147200 - (447735674773689397007863*z^21)/33600 + 
           (448227446123076149795949*z^22)/140 - (76253300810394333786057528*
             z^23)/175 + (4503564849807451199432317464*z^24)/175)*Cf[z]^8*
          tS0[z]^3 + ((-8906932283975*z^10)/186624 + (2308002596460155*z^11)/
            20736 - (177673104109712383*z^12)/1728 + 
           (376444913796832851*z^13)/8 - 10672711593108540741*z^14 + 
           959991995917737413712*z^15)*Cf[z]^6*tS0[z]^4 + 
         ((142019365900*z^4)/3 - 38091048714000*z^5 + 7546346454706560*z^6)*
          Cf[z]^4*tS0[z]^5)*tS1[z]^6 + 
       (((141451231969159084007267*z^30)/42367588526035655078392627200000 - 
           (176401914887811416831669693*z^31)/
            3012806295184757694463475712000 + (32995668135122669492902155607*
             z^32)/104611329693915197724426240000 - 
           (1748831136341187873571292544287*z^33)/
            1937246846183614772674560000 + (59066545136795279209943203587461*
             z^34)/35874941595992866160640000 - 
           (2599161813073245719641973645991521*z^35)/
            1245657694305307852800000 + (269318524066083549518205918620231*
             z^36)/139804455028654080000 - 
           (42625715773973961117523800399135871*z^37)/32038520944066560000 + 
           (464937713358714345115702893443687321*z^38)/667469186334720000 - 
           (20568472104130140609876928300886205769*z^39)/74163242926080000 + 
           (286564297672089040874994707579419434913*z^40)/3433483468800000 - 
           (1979027952485313743964946317977452099*z^41)/105971712000 + 
           (1512846258901890997151130291686761209*z^42)/501760000 - 
           (16427503803536231880611859462818100153*z^43)/49280000 + 
           (983458655923531594156045326327383702667*z^44)/43120000 - 
           (9795362618857080510341447442065234437581*z^45)/13475000)*
          Cf[z]^13 + ((-464717029124120786491*z^24)/
            229314257360749854720000 + (510429520697693145525343*z^25)/
            38219042893458309120000 - (166699591119786879598765157*z^26)/
            4246560321495367680000 + (403030334954986140625353527*z^27)/
            5898000446521344000 - (64469469762250607740678053779*z^28)/
            819166728683520000 + (320205875510316900718181617283*z^29)/
            5056584744960000 - (46221851925550415594982723331993*z^30)/
            1264146186240000 + (67094883964462492187156708755883*z^31)/
            4389396480000 - (8967830613809270974320361311736319*z^32)/
            1950842880000 + (1095841377503245295719636649736341*z^33)/
            1128960000 - (2142905691555249653808603193946301*z^34)/15680000 + 
           (5639517245730264375441906442095903*z^35)/490000 - 
           (53318716404973930025900717407781553*z^36)/122500)*Cf[z]^11*
          tS0[z] + ((14737193926486709063*z^18)/210642873090048000 - 
           (1834137660224246519843*z^19)/5851190919168000 + 
           (19861848983893420827397*z^20)/32506616217600 - 
           (146582385077671904837549*z^21)/214990848000 + 
           (20096720107376345595606037*z^22)/41803776000 - 
           (36877239759913020203025517*z^23)/165888000 + 
           (6524836597942075051851334663*z^24)/96768000 - 
           (2896154839407337485902035941*z^25)/224000 + 
           (19881440503009385940299715507*z^26)/14000 - 
           (59373952019720967946954530879*z^27)/875)*Cf[z]^9*tS0[z]^2 + 
         ((-100083443657599*z^12)/156764160 + (21649140803361353*z^13)/
            13063680 - (15753196216168209*z^14)/8960 + 
           (9808852303160333167*z^15)/10080 - (33041712030353260527*z^16)/
            112 + (1614093878098840963158*z^17)/35 - 
           (100394879040711664437744*z^18)/35)*Cf[z]^7*tS0[z]^3 + 
         ((6048877225*z^6)/36 + 79612808675*z^7 - 170655415755900*z^8 + 
           45101371738046400*z^9)*Cf[z]^5*tS0[z]^4 + 459876614400*Cf[z]^3*
          tS0[z]^5)*tS1[z]^7 + 
       (((106008674364105985059439*z^26)/10461132969391519772442624000 - 
           (272141905274142223985989*z^27)/4151243241822031655731200 + 
           (5296827135099705745256130191*z^28)/26906206196994649620480000 - 
           (180991609848988249111787310119*z^29)/498263077722123141120000 + 
           (907842819257426853292020323989*z^30)/1977234435405250560000 - 
           (143339352668864007589331731717*z^31)/341744223403376640 + 
           (30702990927337413062359248500117*z^32)/107873807892480000 - 
           (239254112171030244518422559568151*z^33)/1648072065024000 + 
           (2866470578815135229853620567593547*z^34)/51502252032000 - 
           (2025269841707798406175812046970879*z^35)/127733760000 + 
           (5412007826764320580749562070126821*z^36)/1655808000 - 
           (11401012148305376153697120953477397*z^37)/24640000 + 
           (54218637182001112283567649070693287*z^38)/1347500 - 
           (531089130833026632948994113899241261*z^39)/336875)*Cf[z]^12 + 
         ((-265334781574063081*z^20)/1011085790832230400 + 
           (149105320489620081551*z^21)/105321436545024000 - 
           (2029211232335907892669*z^22)/585119091916800 + 
           (3275740696118897842159283*z^23)/650132324352000 - 
           (383898883377114962367179*z^24)/80263249920 + 
           (516742165323995818789498783*z^25)/167215104000 - 
           (19143645558575297210160773881*z^26)/13934592000 + 
           (40107167635631236620778851799*z^27)/96768000 - 
           (72663746789129468145450452607*z^28)/896000 + 
           (259465199124955559388615658503*z^29)/28000 - 
           (1630066340467324576934045392491*z^30)/3500)*Cf[z]^10*tS0[z] + 
         ((21588502811483*z^14)/5804752896 - (183870803470769753*z^15)/
            11287019520 + (1494566261673272653*z^16)/52254720 - 
           (968346607553559235*z^17)/36288 + (233272661928961563611*z^18)/
            16128 - (2569250029267317753129*z^19)/560 + 
           (27730313351992670273586*z^20)/35 - (2017340309763300721406112*
             z^21)/35)*Cf[z]^8*tS0[z]^2 + ((-45764095325*z^8)/864 + 
           (3794036303185*z^9)/36 - 77404208128770*z^10 + 24925315380179760*
            z^11 - 2974010207890224960*z^12)*Cf[z]^6*tS0[z]^3 + 
         (51048990000*z^2 - 21276393120000*z^3)*Cf[z]^4*tS0[z]^4)*tS1[z]^8 + 
       (((-31029016578036539827*z^22)/7862203109511423590400 + 
           (4869822490894903107703*z^23)/218394530819761766400 - 
           (123306019066856057527511*z^24)/2166612408926208000 + 
           (3240941818937779006212797*z^25)/37447621882675200 - 
           (150952723812647160462552191*z^26)/1733686198272000 + 
           (8785612005753521161243639993*z^27)/144473849856000 - 
           (40219785597902173530097382081*z^28)/1337720832000 + 
           (293122912919606394983422781881*z^29)/27869184000 - 
           (36588554565981298965814526263*z^30)/14336000 + 
           (183958674968858168874562419879*z^31)/448000 - 
           (2240395798915038770806689667377*z^32)/56000 + 
           (3290793319977713151466618691001*z^33)/1750)*Cf[z]^11 + 
         ((2701202071188401*z^16)/20061226008576 - (8034530699614405807*z^17)/
            14627977297920 + (291058134827534886629*z^18)/300987187200 - 
           (36177539663004144024647*z^19)/37623398400 + 
           (1236579468526856943438241*z^20)/2090188800 - 
           (1117531903176871252056923*z^21)/4838400 + 
           (125388653309224296162203*z^22)/2240 - (5403817984500755806668543*
             z^23)/700 + (81566164201396305470546916*z^24)/175)*Cf[z]^9*
          tS0[z] + ((-5014677556625*z^10)/3359232 + (324953611187555*z^11)/
            93312 - (8349905273013061*z^12)/2592 + (53196983583205991*z^13)/
            36 - 336227169566197458*z^14 + 30365692665711952608*z^15)*Cf[z]^7*
          tS0[z]^2 + ((5067835000*z^4)/3 - 1342441564000*z^5 + 
           262357099372800*z^6)*Cf[z]^5*tS0[z]^3)*tS1[z]^9 + 
       (((4438240005264430651*z^18)/7583143431241728000 - 
           (1094682749148689126747*z^19)/421285746180096000 + 
           (11845914815114505936961*z^20)/2340476367667200 - 
           (615708770943597903694877*z^21)/108355387392000 + 
           (580675574059353678099653*z^22)/143327232000 - 
           (52898505100280380267902127*z^23)/27869184000 + 
           (16640898533125195433877959*z^24)/28672000 - 
           (28071578048376687309962433*z^25)/256000 + 
           (1231468751503023734981031057*z^26)/112000 - 
           (2458649034150017997531782349*z^27)/7000)*Cf[z]^10 + 
         ((-92820107646607*z^12)/7524679680 + (3844916746154657*z^13)/
            117573120 - (3728995751053269941*z^14)/104509440 + 
           (29730417248450993033*z^15)/1451520 - (104992875932851504789*z^16)/
            16128 + (302964633090019207959*z^17)/280 - 
           (2551897068202301651649*z^18)/35)*Cf[z]^8*tS0[z] + 
         ((2137191425*z^6)/324 - (19600094225*z^7)/9 - 1949468362300*z^8 + 
           712342807272000*z^9)*Cf[z]^6*tS0[z]^2 + 10422432000*Cf[z]^4*
          tS0[z]^3)*tS1[z]^10 + (((-774137752439*z^14)/91424858112 + 
           (2120478255704399*z^15)/162533081088 + (20113041859765*z^16)/
            23514624 - (46430588317029965*z^17)/3483648 + 
           (19757672899649294579*z^18)/1935360 - (26837605105274769133*z^19)/
            8960 + (56574945968639562657*z^20)/280 + 
           (209683779049887212583*z^21)/5)*Cf[z]^9 + 
         ((-14417927525*z^8)/31104 + (302653020595*z^9)/324 - 
           (6232878279790*z^10)/9 + 224580246276080*z^11 - 
           26938227315725280*z^12)*Cf[z]^7*tS0[z] + 
         (680960000*z^2 - 280959264000*z^3)*Cf[z]^5*tS0[z]^2)*tS1[z]^11 + 
       (((-380798478275*z^10)/80621568 + (49799274181705*z^11)/4478976 - 
           (1298219204472371*z^12)/124416 + (313509245205253*z^13)/64 - 
           (9261803925984075*z^14)/8 + 111485963538516438*z^15)*Cf[z]^8 + 
         ((199735625*z^4)/18 - (26025685000*z^5)/3 + 1663411752000*z^6)*
          Cf[z]^6*tS0[z])*tS1[z]^12 + 
       (((59123575*z^6)/3888 - (127854475*z^7)/27 - (13996215050*z^8)/3 + 
           1663144581600*z^9)*Cf[z]^7 + 49680000*Cf[z]^5*tS0[z])*tS1[z]^13 + 
       ((3175000*z^2)/3 - 431760000*z^3)*Cf[z]^6*tS1[z]^14)
 
Ff[12] = 167042600195892653957850566060722992092531782684103398271/
      2603295139375589575966970322818683012782724121787566653440000000 + 
     (1533242029295547113322256381077003372285693695075598398747*z)/
      343490330889834735717864139816354008631053877180303933440000000 - 
     (4038574148941963493829084653936906934049908553014791813101*z^2)/
      795116506689432258606166990315634279238550641621073920000000 + 
     (14752771190072986374089551370082275169548417445539121549029*z^3)/
      613515823062833532875128850552186943856906359275520000000 - 
     (282480179104434350367769875108041781428602743375810140971921*z^4)/
      4260526549047455089410617017723520443450738606080000000 + 
     (3515614880921990987192454529099986262511113201709382326183*z^5)/
      30345630691221190095517215225951000309478195200000 - 
     (12125471318239828269034822800039310577560025606775504699451*z^6)/
      89527323662371884359505219212364516163584000000 + 
     (163058777369124640892621146250870524931920086754738767257149*z^7)/
      1509885418909049637015465006557734895616000000 - 
     (1422974812392393350666525057086195153439143269559895103862031*z^8)/
      24465735954544785784972812606259593216000000 + 
     (15318693438963240386290577518650333854300170136038728139207*z^9)/
      755115307239036598301630018711715840000 - 
     (16126953669792007714269389485584445089698690549364791077*z^10)/
      3891544564208599249132292407296000 + 
     (133389122159787058659628243709135411189451664148429299*z^11)/
      353893768239869310023604633600 + 
     ((-453239249151505208601080964286024537957011361377119368427*z^66)/39009\
14050084479170286730851861204273843952828232254675833901078368075597867909120\
000000 + (207978521081298642857739930264681725753685509285570945116927*z^67)/
        189627766323551070777827194187697429978525484705734602297481302420670\
341563023360000000 - 
       (21247842521944635195173677834151144698236412709694093646067*z^68)/430\
34623802548808727720405362131769693746705860960104007235226584211678822400000\
00 + (60193916394723065008848770158801581939346415390880604116911*z^69)/42693\
07916919524675369087833544818421998681137000010318178097875417825280000000 - 
       (22466412885152568609339339576664988730887091935588863565652641*z^70)/
        784024139063925056124878784246656469471980023615742635591348220948643\
840000000 + (355568139470951948149378607864376415345496802934540533596617*
         z^71)/80660919656782413181571891383400871344853911894623727941496730\
55027200000 - (27984039736623886529398975871112326459508769481501077120994849*
         z^72)/52513619568217716915085866786068275615139265556395656211911933\
9520000000 + (12611105480802640627043727618702690572187434995710000217478621*
         z^73)/24311860911211905979206419808364942414416326646479470468477747\
2000000 - (6202113898806026614788018360695299194026936892137001009824911*
         z^74)/
        150073215501308061600039628446697175397631645965922657212825600000 + 
       (141954385710803640889463557303143820859741034795721943455403561*z^75)/
        5210875538239863250001375987732540812417765484927870042112000000 - 
       (123010861327840363700962025167156983980935167038966742303344593*z^76)/
        8224235382323016493057727253365752544851271283030097920000000 + 
       (479069075161198453006577742583885076639135638078004670564716761*z^77)/
        69804466979593504184903549218382158945496901322014720000000 - 
       (2552290773027811800421528347348694076888579718541248420445075703*
         z^78)/969506485827687558123660405810863318687456962805760000000 + 
       (629846429771135934619633569335631650962912695463977538281264037*z^79)/
        748075992150993486206528090903443918740321730560000000 - 
       (3578661593122678554755633574513591589002489732382788705624899*z^80)/
        16033864715170470812039782469638287010037760000000 + 
       (4424196513365116973887152529439373167337257988532639611373219*z^81)/
        91101504063468584159316945850217539829760000000 - 
       (31713286109409199947155334774002041069418279893366952115845173*z^82)/
        3711542758141312687972171867971825696768000000 + 
       (3404329462548132582534536038885560926235733645795278373135519*z^83)/
        2863844720788049913558774589484433408000000 - 
       (38062554823726565757642061162099934465062597150281370043207*z^84)/
        301330463045880672722935036772352000000 + 
       (668403957515220290036675039694577771237330073446837725341989*z^85)/
        69054897781347654165672612593664000000 - 
       (255604140138673828461706005181180553298073408389678412452389*z^86)/
        532831001399287454982041763840000000 + 
       (43388402356643431517535557805584426845387071070157131304807*z^87)/
        3700215287495051770708623360000000)*Cf[z]^22 + 
     ((-330246128125*z^2)/16384 + (28983110952495375*z^3)/1048576)*Cf[z]^22*
      S2[z]^32 + (2239646759308375*Cf[z]^22*S2[z]^33)/46137344 + 
     (6960546849965320010275053349966644270078396011406218399/
        780659842931442581176963954128077292343304266318872576000000 - 
       (9432291734953380159893005184944208315185662484044893*z)/
        25815470996410138266433993192066048027225670182502400000 + 
       (169304742528387862975303009567963426914344310939315584791*z^2)/
        15337895576570838321878221263804673596422658981888000000 - 
       (1944141612129393219901949905015883331497560821084472253353*z^3)/
        53256581863093188617632712721544005543134232576000000 + 
       (2580896225223201819943545155709910170556599003332716631627*z^4)/
        35222607052310309932296767672978839644930048000000 - 
       (12329585296169811325085755001762516086593849126148835579*z^5)/
        127169493838596426647024459108472324096000000 + 
       (114147651361915476948012629153614157150683564933762790100911*z^6)/
        1321149741545418432388531880738018033664000000 - 
       (1209881188152137516541799065148574695463460934887438269717*z^7)/
        23524746110139217100935396736788070400000 + 
       (1323783087736418682512248015031638530591167883812711945063*z^8)/
        67421009574913981991216965956403200000 - 
       (40764900161023973008650756907296274873535022312171676597*z^9)/
        9364029107626941943224578605056000 + 
       (528484246706895953402775940335225409885179022500036733*z^10)/
        1238628188839542585082616217600 + 
       ((-15054206914651477721628074075436593536025301182438219921*z^60)/6584\
29744178996773534122202040616076314324599672689591310698966738438685982720000\
0 + (890634159474092560815696874208829828882378276311497493*z^61)/
          4652450935104610223158621357068071357306255085192318936476132300134\
8096000000 - (7267220571392250148193900347300847010681078909175820798903*
           z^62)/980030173829906320156098480308320586839975029519678294489185\
27618580480000000 + 
         (57355070075604705328489649761104336421728296222489688116837*z^63)/3\
40288254802050805609756416773722425986102440805443852253189332008960000000 - 
         (3053232181607864551307264700360619366764984305247860819357*z^64)/14\
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Ff[13] = 678942529363134236010739182713526837271633694718403104681716861/
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         (47834894780280443*z^15)/72576 + (13786336010506677179*z^16)/4032 - 
         (10924053868399125963*z^17)/7 + (1715113877810402456676*z^18)/7)*
        Cf[z]^9 + ((-426751375*z^6)/3 + (1680565082000*z^7)/9 - 
         (244591951552000*z^8)/3 + 11840879637504000*z^9)*Cf[z]^7*tS0[z] - 
       11788800000*Cf[z]^5*tS0[z]^2)*tS1[z]^15 + 
     (((-215954356325*z^8)/279936 + (312623948395*z^9)/243 - 
         (2336915400710*z^10)/3 + 196222711624840*z^11 - 
         15635759454842400*z^12)*Cf[z]^8 + 
       (-684000000*z^2 + 299980800000*z^3)*Cf[z]^6*tS0[z])*tS1[z]^16 + 
     ((-254000000*z^4)/27 + (24712000000*z^5)/3 - 1799712000000*z^6)*Cf[z]^7*
      tS1[z]^17 - (32000000*Cf[z]^6*tS1[z]^18)/3 + 
     S2[z]^34*(((349519954476492875*z^4)/14495514624 - 
         (672266374376176125*z^5)/4194304 + (287628874104205622925*z^6)/
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     S2[z]^33*(((527190272311863125*z^6)/57982058496 - 
         (8772615401182435375*z^7)/7247757312 - (551678399522736517425*z^8)/
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       ((-182059993882424375*z^2)/16777216 + (31982489929044808875*z^3)/
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     S2[z]^32*(((-36015696039498322625*z^8)/21134460321792 + 
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         (14478555929314299988275*z^11)/4194304 + 
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       ((-12754849720425625*z^2)/3145728 + (2898056062874990625*z^3)/524288)*
        Cf[z]^22*tS0[z] + ((7279473100709702375*z^4)/8153726976 - 
         (380341834284798044125*z^5)/75497472 + (2158817682834939150675*z^6)/
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         (3075971936117868745625*z^11)/5283615080448 + 
         (163519059108013080259225*z^12)/97844723712 - 
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       ((-2267957935182623125*z^2)/14155776 + (42671992568752922125*z^3)/
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       ((2152051712663981455375*z^4)/146767085568 - 
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     S2[z]^29*(((-232391142597482954496125*z^14)/126214320739011526656 + 
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       ((-75414653125461875*z^2)/3538944 + (5337661447288513625*z^3)/196608)*
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       ((-160895563768141296875*z^2)/113246208 + (8750106325146919170625*z^3)/
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     S2[z]^27*(((1673986517960077863606235*z^18)/53672639894264651710464 - 
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         (67400203673041973661025*z^9)/65536)*Cf[z]^20*tS0[z]^2 + 
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       (((9496327890679747471315*z^10)/760840571584512 - 
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       (1430226516947233614175*Cf[z]^19*tS1[z]^5)/15925248) + 
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           (250829603848194327054451867*z^23)/195039697305600 + 
           (1794817527578661826759493003*z^24)/1805923123200 - 
           (8433303867382441136218742003*z^25)/16721510400 + 
           (33316001275040391150806159081*z^26)/199065600 - 
           (683402464823834322113252493787*z^27)/19353600 + 
           (214656676890302799619588631739*z^28)/44800 - 
           (1596536283969108477884975759811*z^29)/2800 + 
           (12231433378978758166114918857663*z^30)/175)*Cf[z]^11*tS0[z] + 
         ((-66836945310215075*z^14)/60949905408 + (43650694379305574227*z^15)/
            13544423424 - (41764946680771123699*z^16)/10450944 + 
           (2367337205128290180503*z^17)/870912 - (178430993719082592758701*
             z^18)/161280 + (1860725006956305070066043*z^19)/6720 - 
           (2936211314296111281933309*z^20)/70 + (114595037356697023292044812*
             z^21)/35)*Cf[z]^9*tS0[z]^2 + ((-37105518200375*z^8)/23328 + 
           (34830333921250*z^9)/9 - (9772331019668500*z^10)/3 + 
           1158942549155244000*z^11 - 149343813147272112000*z^12)*Cf[z]^7*
          tS0[z]^3 + (3176402400000*z^2 - 1336833642240000*z^3)*Cf[z]^5*
          tS0[z]^4)*tS1[z]^11 + 
       (((-128317026413146606937*z^22)/873578123279047065600 + 
           (148329618873521907849821*z^23)/145596353879841177600 - 
           (26532965278042653308517251*z^24)/8666449635704832000 + 
           (737118875630308723315037011*z^25)/140428582060032000 - 
           (2937998936237986529650559953*z^26)/520105859481600 + 
           (282447989894606233808463360757*z^27)/72236924928000 - 
           (1437465144092449286668187628727*z^28)/859963392000 + 
           (1432285585726485485583272443979*z^29)/3981312000 + 
           (481479774783064232558938475831*z^30)/43008000 - 
           (21133943694833869600658419162713*z^31)/896000 + 
           (193311910339147135863482788099431*z^32)/56000 + 
           (70865937219467746506168343268109*z^33)/500)*Cf[z]^12 + 
         ((17222564267415197*z^16)/7801587892224 - 
           (17713512498670024669*z^17)/1462797729792 + 
           (33631358295985954679*z^18)/1289945088 - 
           (23076976471206698483041*z^19)/752467968 + 
           (294621988873931361533333*z^20)/13063680 - 
           (1195670228618268989396557*z^21)/107520 + 
           (16867372534369648959808809*z^22)/4480 - 
           (11585863828629083535823773*z^23)/14 + 
           (3188466848151814782286910682*z^24)/35)*Cf[z]^10*tS0[z] + 
         ((-661435337390725*z^10)/6718464 + (89012918513435375*z^11)/373248 - 
           (792259320109970215*z^12)/3456 + (15793810497535909745*z^13)/144 - 
           (52491962536735076775*z^14)/2 + 2533896163955390078520*z^15)*
          Cf[z]^8*tS0[z]^2 + ((3312199186250*z^4)/27 - 100628007180000*z^5 + 
           20465218044576000*z^6)*Cf[z]^6*tS0[z]^3)*tS1[z]^12 + 
       (((4468571839206098047*z^18)/84257149236019200 - 
           (3796819893439733945527*z^19)/14042858206003200 + 
           (28826861226466228712867*z^20)/46809527353344 - 
           (4454664191815869372822373*z^21)/5417769369600 + 
           (8828229066484382749332221*z^22)/12541132800 - 
           (1222084290211657692605401*z^23)/3110400 + 
           (70605423818125567339295009*z^24)/518400 - 
           (543129170911227562762971331*z^25)/22400 + 
           (101923191466080973231156443*z^26)/350 + 
           (79476205377439658299527826542*z^27)/175)*Cf[z]^11 + 
         ((-3708328300698869*z^12)/3386105856 + (134254380143129663*z^13)/
            47029248 - (15343597910963973037*z^14)/5225472 + 
           (104211020394027740653*z^15)/72576 - (1121574238974996211175*z^16)/
            4032 - (278323338231178553973*z^17)/14 + 
           (81994269635046101955348*z^18)/7)*Cf[z]^9*tS0[z] + 
         ((485407975925*z^6)/324 - (14853250913600*z^7)/9 + 
           579726732478200*z^8 - 63384119665891200*z^9)*Cf[z]^7*tS0[z]^2 + 
         378626880000*Cf[z]^5*tS0[z]^3)*tS1[z]^13 + 
       (((-192225059147725*z^14)/108355387392 + (96593009005783685*z^15)/
            18059231232 - (13892508080422443833*z^16)/1504935936 + 
           (12500113610760895975*z^17)/995328 - (5967044351254661272757*z^18)/
            483840 + (4254822993647585172441*z^19)/560 - 
           (364440287086388244990387*z^20)/140 + (13420822269013276956694668*
             z^21)/35)*Cf[z]^10 + ((-57257286325*z^8)/31104 + 
           (2851205577005*z^9)/648 - (13965622268470*z^10)/9 - 
           1062785440725640*z^11 + 518655286127671200*z^12)*Cf[z]^8*tS0[z] + 
         (26072300000*z^2 - 10891500480000*z^3)*Cf[z]^6*tS0[z]^2)*tS1[z]^14 + 
       (((-1693035733795*z^10)/4478976 + (897294573641095*z^11)/746496 - 
           (100067740921469663*z^12)/62208 + (327070968203241341*z^13)/288 - 
           (1693464119414312595*z^14)/4 + 66798698224182840108*z^15)*
          Cf[z]^9 + ((1490443750*z^4)/3 - (1209990200000*z^5)/3 + 
           81104904000000*z^6)*Cf[z]^7*tS0[z])*tS1[z]^15 + 
       (((-343583035*z^6)/108 + (310391908415*z^7)/36 - (20931394254685*z^8)/
            3 + 1835435509560720*z^9)*Cf[z]^8 + 1195200000*Cf[z]^6*tS0[z])*
        tS1[z]^16 + (27000000*z^2 - 11188800000*z^3)*Cf[z]^7*tS1[z]^17)
 
Ff[14] = 
    18554748375024671285811662132375218761023959557879054201327379038775861/1\
66528564693753612995274546458640412216948881969164085196404529351884800000000 \
+ (15715620555625814619403686878024857796962250800774458054872139843719*z)/
      15929040853014387530157115325474480813528168232434581152089505792000000\
00 + (761907017124767760051482172995077196848098745945673379265414024257757*
       z^2)/89232127000682448664306062702889452705412423894656681453834731520\
0000000 + 
     (744829668376525628074945700852405352369551706963097493376316726696553*
       z^3)/
      1032779247693083896577616466468627924831162313595563442752716800000000 \
- (246237885835176814860078311778979336755458905886480835810154462052627*z^4)/
      97579293999724480024340180127421383676413672864282260275200000000 + 
     (612689051167145019410564330770636553738340527397300779610812171556041*
       z^5)/100618379755608154907253131865396628790914772103321354240000000 - 
     (
       258478340494223735873124796755609772704593963491338815632112555952072011\
*z^6)/25620420771103928332865380799059326775464409563345715200000000 + 
     (70299224500096667767094474083579211442120120325748587401443133338221549*
       z^7)/5930652956274057484459578888671140457283428139663360000000 - 
     (11005201110437718206846110228428221235172273264134257933439815329032439*
       z^8)/1098269065976677311936959053457618603200634840678400000 + 
     (17545482490812427859602218707303367662493599332615563257106714099202313*
       z^9)/2888965346108684006568179328329173514311434240000000 - 
     (1167935342691307681677477224043962795003848841958107136311824229626291*
       z^10)/452686877595377835787036646889186733011763200000 + 
     (101541137772319680914465220117548677399717592174315717018836118008717*
       z^11)/139005324280515680868090429175156545945600000 - 
     (455756799231013439113180549369559358317380065680619241561414649143*
       z^12)/3677389531230573567938900242729009152000 + z^13*a[13, 0] + 
     ((-142727755861260521454570396273181826515797280464092441423089413581229\
7*z^78)/146641800322626293612775086901249656318106057206929963774755970626753\
728442512911792731236755046400000000 + 
       (119654197392159466269082913298166042316049449299864079221030011249503\
857*z^79)/1103207988538276514447960723215419868133899735931764773768418760502\
198188514275378070316017254400000000 - 
       (581588950609007262604307099352561389037784080225555463656806018623279\
99*z^80)/10014596845844921155119469164991102651905407915139476886060446264544\
2827570286435917784678400000000 + 
       (470276522602216569631188495583175507265143175940558745164794946974409\
3397*z^81)/236455758860227305051431910840067701503322131329682093143093870135\
0733428742874181392138240000000 - 
       (334715322225151446813264415567887023223632408967704866159668839414494\
18657*z^82)/68418911707241697063493029756964033999803857444931161210385957793\
71335152612483163750400000000 + 
       (194299923462363221054275056239244002226097712356520764881116058635354\
790083*z^83)/2111694805779064724181883634474198580240859797683060531184751783\
7565849236458281369600000000 - 
       (201690879118227314376240241265965336591319144003444980262302385836038\
2166743*z^84)/146645472623546161401519696838486012516726374839101425776718873\
871985064142071398400000000 + 
       (569129500902486720365167192761839003865316316671869321399521174103321\
9728303*z^85)/339457112554505003244258557496495399344274015831253300409071467\
296261722551091200000000 - 
       (592644002101391544717138406943446472120006440133641911089007288772359\
612497*z^86)/3492357125046347770002660056548306577615987817193963995978101515\
3936391208960000000 + 
       (154559661656659778804334795725504449913556533599949346061447143889781\
5059209*z^87)/106996235448723890012336398791308412304411391458148406739525168\
976520806400000000 - 
       (169008657777522360396018507716151331826782925889143330130443661656411\
4302909*z^88)/161942307926309306464540489623597134007745161573052253790235743\
643238400000000 + 
       (104613754276415250832420959139932972274012874711810784705787947360096\
22179983*z^89)/
        162442129864353470990665614591571199236164128121117229882180915691520\
0000000 - 
       (768933102651234087317255176784611371923854650658283270396252016977148\
169007*z^90)/
        225614069256046487487035575821626665605783511279329485947473494016000\
000 + 
       (404780913101800069550517686541597533332977811317700904840772523065557\
52896101*z^91)/
        261127394972276027184068953497253085191879063980705423550316544000000\
00 - 
       (122126646273583547672476107771549939227245580623390834868054408109378\
92509733*z^92)/
        20148718747860804566671987152565824474682026541721097496166400000000 \
+ 
       (406679594503066617290483769867138494642715163727178613117589859970002\
0444713*z^93)/
        19988808281607941038365066619608952851867089823136009420800000000 - 
       (756935735644734618175715258733239647443634993141733207880567700564309\
94302463*z^94)/
        1295570907141255437671809873493172870028422488536593203200000000 + 
       (594525970040910256493108422688098689285557463708578054875227947452956\
979157*z^95)/41652871242967317311979484101503757395461113957580800000000 - 
       (785526481898718860876334847320096685813967423816146735170817788251417\
419541*z^96)/267005584890816136615253103214767675611930217676800000000 + 
       (369299422678491273695206156947539014063375833338241027634907294514841\
588711*z^97)/730444571460566030302670526471376216951829299200000000 - 
       (138004402153486884655398797321766517204853287396465144081823689674689\
1559*z^98)/19374253197497652231214737150812930137128960000000 + 
       (691424562345055812264563303769183803805695581749464155992918630088228\
05689*z^99)/8610779198887845436095438733694635616501760000000 - 
       (432176138749029377673375697805695537127846132817665680588818657713345\
051*z^100)/619017368220025695601523948534523494400000000 + 
       (308338237212463277853871091315332768396003373540167291427715944075769\
667*z^101)/6990866742664431607172092853118566400000000 - 
       (193401445934342391624036544455043755477588616987872039361041128966560\
4431*z^102)/1068049085684843717762403074782003200000000 + 
       (452759341989650725843337823453800490028021184482242814408606095694916\
81*z^103)/1236167923246346895558336892108800000000)*Cf[z]^26 + 
     ((-98695585491875*z^2)/16384 + (77989346950470168375*z^3)/8388608)*
      Cf[z]^26*S2[z]^38 + (6320791709083309375*Cf[z]^26*S2[z]^39)/436207616 + 
     (1418293725822955641121673543056057081219856655543088250574603511/
        73847277517806164411839500167908512583789592188681391548001157120000 \
+ (4948961034272425556816645730759458174926155059866263068803409563*z)/
        2670980812999354904942111551211968771115074948954043386429440000000 + 
       (74022418414921628397456487957553834910527594754361227915121077259*
         z^2)/
        247313038240681009716862180667774886214358791569818832076800000000 - 
       (421621892881474555212111620260063666048016093138142492408196440347*
         z^3)/
        286241942408195613098220116513628340525878230983586611200000000 + 
       (2743621033487179435295418311240065971829314716769227095564537776193*
         z^4)/662597088907860215505139158596361899365458868017561600000000 - 
       (5884402446327407053532865872912957812040765567124566256439603948879*
         z^5)/766894778828541916093911063190233679821132949094400000000 + 
       (440545573121828506038427227739281765199927581122524029527102941*z^6)/
        44124014054220831929105998650795588593909760000000 - 
       (402041775789482837399105561201421955226215575137850879404115421*z^7)/
        43360812030208604960444123265247771361280000000 + 
       (155416147159053311519524740211079589322796398420203175812951772459*
         z^8)/25366075037672033901859812110169946246348800000 - 
       (4964221804480403041594168536628606885313420748144322218186145099943*
         z^9)/1761532988727224576518042507650690711552000000 + 
       (1400268274729853260025701942517045112013329970432722353655930571543*
         z^10)/1631049063636319052331520840417306214400000 - 
       (92371076978374985885549124967799175683926240677327108298256639*z^11)/
        592712172087155885637072228188160000 + 
       (13016034409893733694061740475175114543644533359823575833708043*z^12)/
        1019214052530823612867981344768000 + 
       ((-177269816476509375759383990160815472675817471512832257878153653403*
           z^72)/733828217152429567400995585365727349493068683436944426995808\
562488158650299512676983767040000000 + 
         (263355042689431022908996441820221118976244596473234963647784030107*
           z^73)/106167276787099185098523666864254535516937020173169043257495\
451748865545471573014609920000000 - 
         (283651592044075991225121606569806850845074009220865286286587918899*
           z^74)/232669903105630473588699686312194905800870085849592468239087\
11757366983447638179840000000 + 
         (2893240333231862866925376235151303609619739200157468678908598841490\
01*z^75)/75851106529420428311130877675078971991410193882293840918992520968268\
13662520934400000000 - 
         (7123876208294460669124050273358992985124943997193704913147316013181*
           z^76)/836101262449519712424282161321417239764221713870082020711998\
68792182690283520000000 + 
         (4186908219911045240339207450843194099454796204239777505201685988697\
49*z^77)/29031293835052767792509797268104765269591031731600070163611065552841\
21190400000000 - 
         (2693739191881917665524602482004487797356824839614186170417847882814\
2449*z^78)/141124345031506510102478181164398164504956404250833674406442679770\
755891200000000 + 
         (2164080620007030014415437929228001162887273951685703988170017779239\
5867*z^79)/108892241536656257795122053367591176315552781057742032721020586242\
867200000000 - 
         (1745755010693848663455292379538088734614371351928343738114752056943\
2831*z^80)/
          1120290550788644627521831824769456546456304331869773999187454590976\
00000000 + 
         (3413330167587503556773874136312845094000467710597697381828488758930\
1*z^81)/
          486034703764336312787133757101839748393162715131617901910425600000000 \
+ (150534988417803013841248179425642830353332932763455700711201019433097971*
           z^82)/405197681853531766320106996806082373573605444107991174474629\
1200000000 - 
         (1382811509235392882560867285813970668953388643347687240802798475766\
897*z^83)/9689644595900572159093467745783650271024770529824551731200000000 + 
         (3570427025103715196367344428655452863156604113324024633862648352062\
84223*z^84)/
          1579053193406019166667083632646224488611444086341778800640000000 - 
         (6536026927780654975460181983017528061593028827957011877264272324644\
18893*z^85)/2393296010728920143482407401773102592417036616754790400000000 + 
         (8633611810684165192649369016741495665388820206198976758758939380196\
817053*z^86)/31024207546486001859957132985947626197998622809784320000000 - 
         (3696009082792756312891897215763199579505649276857130738781787891891\
721339*z^87)/14961519843019869724130561818068878374806434611200000000 + 
         (2740436187126753063885813441144841788053496502053336645707358963205\
358083*z^88)/14168105911950634208456971418625831794324275200000000 - 
         (3876418659917641076922741848095868044514634483924454273926270178466\
20057289*z^89)/2886095648730684746167160844534891661806796800000000 + 
         (1108129649661589641211782397607264371749543599296777440777377741309\
984385967*z^90)/13361553929308725676699818724698572508364800000000 - 
         (1001482604786874280391436357086997452953080567269527264167369586528\
886909*z^91)/21966990756044701041501964180704460800000000 + 
         (7989504531609507290072099844508464060192742823630847291716188173478\
08055187*z^92)/35798059009850623919484682368555417600000000 - 
         (4029307036718862534721955435821359144707507591363666424076065678646\
40841541*z^93)/41432938668808592499403567556198400000000 + 
         (2408685370337102430336931050915359731960500009376807876058034098855\
19781343*z^94)/63939720167914494597845011660800000000 - 
         (1637785243338535589471607631165979876729464284958499753905936710586\
89649*z^95)/126503086751967581904568320000000 + 
         (2074702871155395913739319322776202000920727855793397544128294255187\
8005513*z^96)/52709619479986492460236800000000 - 
         (2508915888564891884362757104060459787860736627099781862904131191055\
51289603*z^97)/2379253657082723617996800000000 + 
         (1364069290834572108831063224060064634511577093542930707371601499172\
54690223*z^98)/5507531613617415782400000000 - 
         (4844491349365344032706084398053928330113631849149547681531707063859\
0253999*z^99)/9561686829196902400000000 + 
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       (((5952587939631199*z^12)/40633270272 - (49344147452288261*z^13)/
            31352832 + (99351925538421859601*z^14)/20901888 - 
           (648377105877202940239*z^15)/96768 + (26936328645444715349807*
             z^16)/5376 - (109371954737365034638059*z^17)/56 + 
           (2222045752751436255225957*z^18)/7)*Cf[z]^10 + 
         ((-164223279680*z^6)/81 + (32466617465390*z^7)/9 - 
           (6967969028396840*z^8)/3 + 539629066935550080*z^9)*Cf[z]^8*
          tS0[z] - 142118400000*Cf[z]^6*tS0[z]^2)*tS1[z]^16 + 
       (((899599315025*z^8)/11664 - (25203646414555*z^9)/108 + 
           (2421402584593415*z^10)/9 - 141125798369269760*z^11 + 
           28649230207978443840*z^12)*Cf[z]^9 + 
         (-6608000000*z^2 + 2763187200000*z^3)*Cf[z]^7*tS0[z])*tS1[z]^17 + 
       ((58334340625*z^4)/81 - 1077238413000*z^5 + 411151589121600*z^6)*
        Cf[z]^8*tS1[z]^18 - 112000000*Cf[z]^7*tS1[z]^19)
Ff[2] = ((-461*z^6)/207360 + (22387*z^7)/5760 - (1015183*z^8)/480 + 
       (3677571*z^9)/10)*Cf[z]^2 + ((-5*z^2)/48 + 51*z^3)*Cf[z]^2*S2[z]^2 + 
     (5*Cf[z]^2*S2[z]^3)/24 + 42*tS0[z] + ((5*z^2)/4 - 558*z^3)*Cf[z]*
      tS1[z] + S2[z]*(((23*z^4)/864 - (1145*z^5)/48 + (10791*z^6)/2)*
        Cf[z]^2 - 3*Cf[z]*tS1[z])
 
Ff[3] = -18297929/940584960 + (2101373447*z)/52254720 - 
     (113656843*z^2)/6048 + ((-136523*z^12)/6501323243520 + 
       (33337321*z^13)/1083553873920 - (19076893*z^14)/1254113280 + 
       (14801641*z^15)/5806080)*Cf[z]^4 + ((-25*z^2)/192 + (615*z^3)/8)*
      Cf[z]^4*S2[z]^5 + (5*Cf[z]^4*S2[z]^6)/16 + 
     ((5071*z^6)/103680 - (246257*z^7)/2880 + (11167013*z^8)/240 - 
       (40453281*z^9)/5)*Cf[z]^2*tS0[z] - 462*tS0[z]^2 + 
     (8575/12 + ((9403*z^8)/8957952 - (1778701*z^9)/622080 + 
         (14595613*z^10)/5760 - (74139211*z^11)/80 + 121359843*z^12)*
        Cf[z]^3 + ((-55*z^2)/2 + 12276*z^3)*Cf[z]*tS0[z])*tS1[z] + 
     ((-215*z^4)/864 + (2645*z^5)/12 - 47772*z^6)*Cf[z]^2*tS1[z]^2 - 
     20*Cf[z]*tS1[z]^3 + S2[z]^4*(((6335*z^4)/248832 - (4045*z^5)/144 + 
         (32055*z^6)/4)*Cf[z]^4 - (55*Cf[z]^3*tS1[z])/24) + 
     S2[z]^3*(((-7645*z^6)/2985984 + (167411*z^7)/41472 - (69687*z^8)/32 + 
         (810531*z^9)/2)*Cf[z]^4 - (55*Cf[z]^2*tS0[z])/12 + 
       ((185*z^2)/288 - (1513*z^3)/4)*Cf[z]^3*tS1[z]) + 
     S2[z]^2*(((6137*z^8)/107495424 - (256801*z^9)/2488320 + 
         (447673*z^10)/5760 - (2327349*z^11)/80 + (22610421*z^12)/5)*
        Cf[z]^4 + ((55*z^2)/24 - 1122*z^3)*Cf[z]^2*tS0[z] + 
       ((-497*z^4)/10368 + (2755*z^5)/48 - (35433*z^6)/2)*Cf[z]^3*tS1[z] + 
       8*Cf[z]^2*tS1[z]^2) + 
     S2[z]*(((22559*z^10)/1612431360 - (7432037*z^11)/179159040 + 
         (226814039*z^12)/4976640 - (91592837*z^13)/3840 + 
         (482074659*z^14)/80 - (2955477213*z^15)/5)*Cf[z]^4 + 
       ((-253*z^4)/432 + (12595*z^5)/24 - 118701*z^6)*Cf[z]^2*tS0[z] + 
       (((-4883*z^6)/622080 + (187271*z^7)/17280 - (2327023*z^8)/480 + 
           (6883281*z^9)/10)*Cf[z]^3 + 66*Cf[z]*tS0[z])*tS1[z] + 
       ((-5*z^2)/12 + 366*z^3)*Cf[z]^2*tS1[z]^2)
 
Ff[4] = -11770961913689/7021429103001600 + (387000138167*z)/66886041600 - 
     (428126851645*z^2)/71663616 + (4788832497749*z^3)/2488320 + 
     ((-184654967143*z^18)/20965874958697129574400 + (398157915863*z^19)/
        16177372653315686400 - (516326370001*z^20)/18723810941337600 + 
       (2020045033613*z^21)/130026464870400 - (886338799921*z^22)/
        200658124800 + (236629175659*z^23)/464486400)*Cf[z]^6 + 
     ((-25*z^2)/64 + (8535*z^3)/32)*Cf[z]^6*S2[z]^8 + 
     (1105*Cf[z]^6*S2[z]^9)/1152 + (18297929/26127360 - 
       (2101373447*z)/1451520 + (113656843*z^2)/168 + 
       ((18534379*z^12)/902961561600 - (10569656861*z^13)/150493593600 + 
         (715504529*z^14)/7257600 - (87566849759*z^15)/1209600 + 
         (337846955861*z^16)/11520 - (1244469186831*z^17)/200 + 
         (13524528460041*z^18)/25)*Cf[z]^4)*tS0[z] + 
     ((-21667*z^6)/17280 + (1052189*z^7)/480 - (47713601*z^8)/40 + 
       (1037075022*z^9)/5)*Cf[z]^2*tS0[z]^2 + 7896*tS0[z]^3 + 
     (-2101373447/26127360 + (113656843*z)/1512 + 
       ((52466941*z^14)/58511909191680 - (120853539823*z^15)/32506616217600 + 
         (952267307339*z^16)/150493593600 - (12104292974761*z^17)/
          2090188800 + (29991546481417*z^18)/9676800 - (4366746032983*z^19)/
          4480 + (46864694674017*z^20)/280 - (2124132100442766*z^21)/175)*
        Cf[z]^5 + (-25725 + ((-14935*z^8)/248832 + (2621803*z^9)/17280 - 
           (62266633*z^10)/480 + (929628357*z^11)/20 - (30053110212*z^12)/5)*
          Cf[z]^3)*tS0[z] + (705*z^2 - 314712*z^3)*Cf[z]*tS0[z]^2)*tS1[z] + 
     (((-214781*z^10)/537477120 + (35923429*z^11)/29859840 - 
         (221407387*z^12)/165888 + (8108349823*z^13)/11520 - 
         (28676179701*z^14)/160 + (177894548757*z^15)/10)*Cf[z]^4 + 
       ((365*z^4)/24 - 13515*z^5 + 2965248*z^6)*Cf[z]^2*tS0[z])*tS1[z]^2 + 
     (((409*z^6)/77760 + (8971*z^7)/1080 - (332713*z^8)/30 + 
         (14019768*z^9)/5)*Cf[z]^3 + 720*Cf[z]*tS0[z])*tS1[z]^3 + 
     ((125*z^2)/6 - 9120*z^3)*Cf[z]^2*tS1[z]^4 + 
     S2[z]^7*(((72175*z^4)/995328 - (219845*z^5)/2304 + (519951*z^6)/16)*
        Cf[z]^6 - (275*Cf[z]^5*tS1[z])/96) + 
     S2[z]^6*(((-41525*z^6)/5971968 + (142675*z^7)/10368 - (222871*z^8)/24 + 
         (8617419*z^9)/4)*Cf[z]^6 - (1595*Cf[z]^4*tS0[z])/144 + 
       ((325*z^2)/576 - (1905*z^3)/4)*Cf[z]^5*tS1[z]) + 
     S2[z]^5*(((1521605*z^8)/10319560704 - (6629501*z^9)/11943936 + 
         (38481511*z^10)/55296 - (23634827*z^11)/64 + (2903874489*z^12)/40)*
        Cf[z]^6 + ((325*z^2)/72 - (5365*z^3)/2)*Cf[z]^4*tS0[z] + 
       ((24635*z^4)/497664 - (7175*z^5)/1152 - (30837*z^6)/2)*Cf[z]^5*
        tS1[z] + (245*Cf[z]^4*tS1[z]^2)/96) + 
     S2[z]^4*(((3023297*z^10)/61917364224 - (48302075*z^11)/429981696 + 
         (1942048433*z^12)/19906560 - (1729242959*z^13)/46080 + 
         (1605519141*z^14)/320 + (4056212781*z^15)/20)*Cf[z]^6 + 
       ((-17185*z^4)/20736 + (133775*z^5)/144 - (538197*z^6)/2)*Cf[z]^4*
        tS0[z] + (((-100693*z^6)/2985984 + (1932449*z^7)/41472 - 
           (7808951*z^8)/384 + (20793771*z^9)/8)*Cf[z]^5 + 
         (155*Cf[z]^3*tS0[z])/2)*tS1[z] + ((1385*z^2)/576 - 851*z^3)*Cf[z]^4*
        tS1[z]^2) + S2[z]^3*(((-20711015*z^12)/3343537668096 + 
         (1421962061*z^13)/77396705280 - (1012898303*z^14)/44789760 + 
         (4886741683*z^15)/331776 - (10204399027*z^16)/1920 + 
         (79403482521*z^17)/80 - (361362056922*z^18)/5)*Cf[z]^6 + 
       ((16493*z^6)/248832 - (186805*z^7)/1728 + (17465525*z^8)/288 - 
         (23550531*z^9)/2)*Cf[z]^4*tS0[z] + (235*Cf[z]^2*tS0[z]^2)/2 + 
       (((142717*z^8)/26873856 - (78113303*z^9)/7464960 + 
           (88627249*z^10)/11520 - (397505033*z^11)/160 + 292881339*z^12)*
          Cf[z]^5 + ((-445*z^2)/24 + 11463*z^3)*Cf[z]^3*tS0[z])*tS1[z] + 
       ((-9851*z^4)/10368 + (65165*z^5)/72 - (415317*z^6)/2)*Cf[z]^4*
        tS1[z]^2 + (28*Cf[z]^3*tS1[z]^3)/3) + 
     S2[z]^2*(((33273913*z^14)/133741506723840 - (41038579367*z^15)/
          52010585948160 + (1564123951727*z^16)/1444738498560 - 
         (310260719213*z^17)/371589120 + (378491017957*z^18)/967680 - 
         (497307253271*z^19)/4480 + (3925209318543*z^20)/224 - 
         (81249785630091*z^21)/70)*Cf[z]^6 + 
       ((7859*z^8)/2985984 - (228539*z^9)/41472 + (5724557*z^10)/1440 - 
         1151704*z^11 + (518477733*z^12)/5)*Cf[z]^4*tS0[z] + 
       ((-235*z^2)/4 + 28764*z^3)*Cf[z]^2*tS0[z]^2 + 
       (((-703663*z^10)/2149908480 + (95572927*z^11)/119439360 - 
           (7879694521*z^12)/9953280 + (227555843*z^13)/576 - 
           (1979930271*z^14)/20 + (98851642893*z^15)/10)*Cf[z]^5 + 
         ((13*z^4)/288 - (2075*z^5)/4 + 280638*z^6)*Cf[z]^3*tS0[z])*tS1[z] + 
       (((52339*z^6)/414720 - (483099*z^7)/2560 + (179782169*z^8)/1920 - 
           (612043173*z^9)/40)*Cf[z]^4 - 252*Cf[z]^2*tS0[z])*tS1[z]^2 + 
       ((-35*z^2)/3 + 5208*z^3)*Cf[z]^3*tS1[z]^3) + 
     S2[z]*(-688662869/48384 + ((2457254069*z^16)/404434316332892160 - 
         (1535495491*z^17)/39007939461120 + (531961161493*z^18)/
          5417769369600 - (914459392541*z^19)/7166361600 + 
         (45057290167531*z^20)/464486400 - (2415998951423*z^21)/53760 + 
         (140398105404969*z^22)/11200 - (48518555206806*z^23)/25 + 
         (22491076814609094*z^24)/175)*Cf[z]^6 + 
       ((-8753*z^10)/8957952 + (2732525*z^11)/995328 - (1214630377*z^12)/
          414720 + (135753283*z^13)/90 - (15136169643*z^14)/40 + 
         37153303398*z^15)*Cf[z]^4*tS0[z] + ((1081*z^4)/72 - (53815*z^5)/4 + 
         3043062*z^6)*Cf[z]^2*tS0[z]^2 + 
       (((-16471139*z^12)/4875992432640 + (383611*z^13)/20901888 - 
           (1573294033*z^14)/52254720 + (67035884267*z^15)/2903040 - 
           (41377048299*z^16)/4480 + (261892859337*z^17)/140 - 
           (5317519952394*z^18)/35)*Cf[z]^5 + 
         ((2081*z^6)/3456 - (80717*z^7)/96 + (3085807*z^8)/8 - 57691494*z^9)*
          Cf[z]^3*tS0[z] - 1692*Cf[z]*tS0[z]^2)*tS1[z] + 
       (((-12359*z^8)/4478976 + (12503*z^9)/2160 - (2691493*z^10)/576 + 
           (33924331*z^11)/20 - (2303042031*z^12)/10)*Cf[z]^4 + 
         (-15*z^2 + 216*z^3)*Cf[z]^2*tS0[z])*tS1[z]^2 + 
       ((4195*z^4)/2592 - 1595*z^5 + 386424*z^6)*Cf[z]^3*tS1[z]^3 - 
       35*Cf[z]^2*tS1[z]^4)
 
Ff[5] = -26509532739780373/160155989267825295360 + (1523282934268199149*z)/
      1853657283192422400 - (169994554627161763*z^2)/122596381163520 + 
     (9533199401004841633*z^3)/9932577177600 - (15500624708971879*z^4)/
      65691648 + ((493973108267279*z^24)/49188674207098084807566950400 - 
       (23537309952128309*z^25)/797038702429830077900390400 + 
       (1447889591047729*z^26)/40999933252563275612160 - 
       (90456336810162949*z^27)/4270826380475341209600 + 
       (58063425459869371*z^28)/9886172177026252800 - (21599678509447*z^29)/
        282526639718400 - (3570801669885869*z^30)/10594748989440 + 
       (632502745394771*z^31)/11147673600)*Cf[z]^8 + 
     ((-5525*z^2)/3072 + (177495*z^3)/128)*Cf[z]^8*S2[z]^11 + 
     (565*Cf[z]^8*S2[z]^12)/128 + (11770961913689/167176883404800 - 
       (387000138167*z)/1592524800 + (2996887961515*z^2)/11943936 - 
       (33521827484243*z^3)/414720 + 
       ((120512925304273*z^18)/3494312493116188262400 - (72576562267607*z^19)/
          385175539364659200 + (4178139287639621*z^20)/9361905470668800 - 
         (13060100596867403*z^21)/21671077478400 + (51404060747880221*z^22)/
          100329062400 - (66183312856832203*z^23)/232243200 + 
         (41890253689616249*z^24)/403200 - (67149129024656631*z^25)/2800 + 
         (557417591125505073*z^26)/175 - (6500442219117425856*z^27)/35)*
        Cf[z]^6)*tS0[z] + (-237873077/11197440 + (27317854811*z)/622080 - 
       (1477538959*z^2)/72 + ((-101234627*z^12)/77396705280 + 
         (11678558177*z^13)/2579890176 - (2980929653*z^14)/466560 + 
         (32502838901*z^15)/6912 - (4392010426193*z^16)/2304 + 
         (16178099428803*z^17)/40 - (175818869980533*z^18)/5)*Cf[z]^4)*
      tS0[z]^2 + ((293657*z^6)/8640 - (14260519*z^7)/240 + 
       (646671571*z^8)/20 - (28111352724*z^9)/5)*Cf[z]^2*tS0[z]^3 - 
     160524*tS0[z]^4 + (4482992605/322486272 - (514836494515*z)/17915904 + 
       (139229632675*z^2)/10368 + 
       ((324439068911*z^20)/436789061639523532800 - (68513986520909*z^21)/
          12133029489986764800 + (1963533988799447*z^22)/112342865648025600 - 
         (9355643736518483*z^23)/312063515688960 + (928600660789443547*z^24)/
          28894769971200 - (2282566872526054589*z^25)/100329062400 + 
         (5041464090380216447*z^26)/464486400 - (931230494782855639*z^27)/
          268800 + (15924039257373266079*z^28)/22400 - 
         (59463155917498527459*z^29)/700 + (157491698947700580234*z^30)/35)*
        Cf[z]^7 + (2101373447/622080 - (113656843*z)/36 + 
         ((-306155113*z^14)/3250661621760 + (2106482251673*z^15)/
            5417769369600 - (9977274093251*z^16)/15049359360 + 
           (637005033375581*z^17)/1045094400 - (1587426073224473*z^18)/
            4838400 + (697708694422843*z^19)/6720 - (12559821567466689*z^20)/
            700 + (229165537381301412*z^21)/175)*Cf[z]^5)*tS0[z] + 
       (780325 + ((1934413*z^8)/746496 - (326266681*z^9)/51840 + 
           (843129131*z^10)/160 - (37294409373*z^11)/20 + 239233348692*z^12)*
          Cf[z]^3)*tS0[z]^2 + (-19110*z^2 + 8530704*z^3)*Cf[z]*tS0[z]^3)*
      tS1[z] + (-73530625/288 + ((-37763736461*z^16)/84257149236019200 + 
         (2993396166077*z^17)/1170238183833600 - (3060039962081*z^18)/
          541776936960 + (7399945487063*z^19)/1114767360 - 
         (12963252307079603*z^20)/2786918400 + (39020634932784649*z^21)/
          19353600 - (23842011020031663*z^22)/44800 + 
         (220166785974959541*z^23)/2800 - (874646286083641224*z^24)/175)*
        Cf[z]^6 + ((1392329*z^10)/29859840 - (657565363*z^11)/4976640 + 
         (58757323811*z^12)/414720 - (421621015931*z^13)/5760 + 
         (294533070309*z^14)/16 - (9070488545913*z^15)/5)*Cf[z]^4*tS0[z] + 
       ((-48815*z^4)/72 + 603395*z^5 - 133121664*z^6)*Cf[z]^2*tS0[z]^2)*
      tS1[z]^2 + (((5620147*z^12)/380936908800 - (14789409277*z^13)/
          112870195200 + (119909290033*z^14)/522547200 - 
         (2532602181863*z^15)/14515200 + (1202686008263*z^16)/17920 - 
         (8974919481741*z^17)/700 + (337440985062309*z^18)/350)*Cf[z]^5 + 
       ((-19381*z^6)/4320 + (906733*z^7)/180 - (26710997*z^8)/15 + 
         (955300464*z^9)/5)*Cf[z]^3*tS0[z] - 21840*Cf[z]*tS0[z]^2)*tS1[z]^3 + 
     (((149771*z^8)/2239488 - (45073447*z^9)/311040 + (327496973*z^10)/2880 - 
         (773218501*z^11)/20 + (24157320714*z^12)/5)*Cf[z]^4 + 
       (-1275*z^2 + 561600*z^3)*Cf[z]^2*tS0[z])*tS1[z]^4 + 
     ((-3325*z^4)/216 + (40450*z^5)/3 - 2930760*z^6)*Cf[z]^3*tS1[z]^5 - 
     200*Cf[z]^2*tS1[z]^6 + S2[z]^10*
      (((1267015*z^4)/3981312 - (567235*z^5)/1152 + (12438489*z^6)/64)*
        Cf[z]^8 + (1705*Cf[z]^7*tS1[z])/384) + 
     S2[z]^9*(((-1291525*z^6)/47775744 + (15011005*z^7)/221184 - 
         (86213695*z^8)/1536 + (62205921*z^9)/4)*Cf[z]^8 - 
       (7535*Cf[z]^6*tS0[z])/192 + ((-16675*z^2)/4608 + (130815*z^3)/64)*
        Cf[z]^7*tS1[z]) + S2[z]^8*(((-182375*z^8)/7739670528 - 
         (155964373*z^9)/71663616 + (61466479*z^10)/13824 - 
         (1183638331*z^11)/384 + (2939531517*z^12)/4)*Cf[z]^8 + 
       ((2225*z^2)/144 - (171055*z^3)/16)*Cf[z]^6*tS0[z] + 
       ((889625*z^4)/746496 - (9458755*z^5)/6912 + (6298493*z^6)/16)*Cf[z]^7*
        tS1[z] - (625*Cf[z]^6*tS1[z]^2)/36) + 
     S2[z]^7*(((26474819*z^10)/92876046336 - (840558109*z^11)/1289945088 + 
         (6106138435*z^12)/11943936 - (701969779*z^13)/6144 - 
         (12564822253*z^14)/320 + (337354482177*z^15)/20)*Cf[z]^8 + 
       ((-3897605*z^4)/1492992 + (12304435*z^5)/3456 - (9987611*z^6)/8)*
        Cf[z]^6*tS0[z] + (((-1994507*z^6)/8957952 + (47765917*z^7)/124416 - 
           (63971819*z^8)/288 + (344600391*z^9)/8)*Cf[z]^7 + 
         (14065*Cf[z]^5*tS0[z])/144)*tS1[z] + 
       ((4975*z^2)/432 - (38855*z^3)/6)*Cf[z]^6*tS1[z]^2) + 
     S2[z]^6*(((-1788525715*z^12)/53496602689536 + (78876612283*z^13)/
          743008370688 - (3714798917*z^14)/26873856 + (369630076633*z^15)/
          3981312 - (75223535629*z^16)/2304 + (407844701931*z^17)/80 - 
         132524459073*z^18)*Cf[z]^8 + ((1563149*z^6)/8957952 - 
         (24575027*z^7)/62208 + (28351795*z^8)/96 - 74117544*z^9)*Cf[z]^6*
        tS0[z] + (47515*Cf[z]^4*tS0[z]^2)/144 + 
       (((42291695*z^8)/1719926784 - (2041497815*z^9)/35831808 + 
           (919551239*z^10)/18432 - (2503243243*z^11)/128 + 
           (115750823517*z^12)/40)*Cf[z]^7 + 
         ((-4525*z^2)/864 + (31175*z^3)/3)*Cf[z]^5*tS0[z])*tS1[z] + 
       ((-437635*z^4)/165888 + (21492355*z^5)/6912 - (14584255*z^6)/16)*
        Cf[z]^6*tS1[z]^2 + (2255*Cf[z]^5*tS1[z]^3)/48) + 
     S2[z]^5*(((636471755*z^14)/427972821516288 - (26985337555*z^15)/
          4623163195392 + (42821276810993*z^16)/4334215495680 - 
         (18620122310957*z^17)/2006581248 + (120099040994057*z^18)/23224320 - 
         (90421895595881*z^19)/53760 + (319927585596957*z^20)/1120 - 
         (618939660932766*z^21)/35)*Cf[z]^8 + 
       ((70894775*z^8)/5159780352 - (109656031*z^9)/5971968 + 
         (96019549*z^10)/27648 + (131513457*z^11)/32 - (31182914169*z^12)/20)*
        Cf[z]^6*tS0[z] + ((-9425*z^2)/72 + (156845*z^3)/2)*Cf[z]^4*tS0[z]^2 + 
       (((-16722755*z^10)/13759414272 + (2153734661*z^11)/573308928 - 
           (139100197423*z^12)/29859840 + (133349431451*z^13)/46080 - 
           (72018139911*z^14)/80 + (2243408344407*z^15)/20)*Cf[z]^7 + 
         ((-2018455*z^4)/248832 + (3761555*z^5)/576 - 988965*z^6)*Cf[z]^5*
          tS0[z])*tS1[z] + (((97465*z^6)/442368 - (24138059*z^7)/55296 + 
           (324159643*z^8)/1152 - 59352378*z^9)*Cf[z]^6 + 
         (1415*Cf[z]^4*tS0[z])/48)*tS1[z]^2 + 
       ((-7555*z^2)/384 + (185577*z^3)/16)*Cf[z]^5*tS1[z]^3) + 
     S2[z]^4*(((52737978697*z^16)/970642359198941184 - (764424813067*z^17)/
          3744762188267520 + (54483097136681*z^18)/173368619827200 - 
         (1806564696569573*z^19)/7223692492800 + (1712222634067471*z^20)/
          16721510400 - (1361509024529*z^21)/96768 - (188418802866989*z^22)/
          44800 + (9501000273439911*z^23)/5600 - (51450527885623407*z^24)/
          350)*Cf[z]^8 + ((-126787717*z^10)/30958682112 + 
         (2166529015*z^11)/214990848 - (290892393031*z^12)/29859840 + 
         (105050796491*z^13)/23040 - (160168846569*z^14)/160 + 
         (753412311711*z^15)/10)*Cf[z]^6*tS0[z] + 
       ((458185*z^4)/20736 - (3647215*z^5)/144 + (14980485*z^6)/2)*Cf[z]^4*
        tS0[z]^2 + (((-787286665*z^12)/11702381838336 + (1262619989*z^13)/
            7524679680 - (75765024455*z^14)/501645312 + (3376655389223*z^15)/
            69672960 + (402670269863*z^16)/53760 - (285735564216*z^17)/35 + 
           (48951465836157*z^18)/35)*Cf[z]^7 + ((3668633*z^6)/1492992 - 
           (74387341*z^7)/20736 + (983387521*z^8)/576 - (1033868127*z^9)/4)*
          Cf[z]^5*tS0[z] - (4355*Cf[z]^3*tS0[z]^2)/2)*tS1[z] + 
       (((4345705*z^8)/214990848 - (46846423*z^9)/1658880 + 
           (278539733*z^10)/27648 + (2189905853*z^11)/1920 - 
           (32992516827*z^12)/40)*Cf[z]^6 + ((-55405*z^2)/288 + 82106*z^3)*
          Cf[z]^4*tS0[z])*tS1[z]^2 + ((1021*z^4)/1944 - (70795*z^5)/48 + 
         (2521311*z^6)/4)*Cf[z]^5*tS1[z]^3 - (1133*Cf[z]^4*tS1[z]^4)/12) + 
     S2[z]^3*(((-154900007329*z^18)/14559635387984117760 + 
         (393418774576349*z^19)/8088686326657843200 - (7328480698583339*z^20)/
          74895243765350400 + (59130426858500491*z^21)/520105859481600 - 
         (33711164068799743*z^22)/401316249600 + (5423046616850447*z^23)/
          132710400 - (84224973499075271*z^24)/6451200 + 
         (117998891350711983*z^25)/44800 - (34050013371303795*z^26)/112 + 
         (2701756093023563427*z^27)/175)*Cf[z]^8 + 
       ((4084552889*z^12)/11702381838336 - (283800669307*z^13)/270888468480 + 
         (412229346527*z^14)/313528320 - (15339707365963*z^15)/17418240 + 
         (6663372562207*z^16)/20160 - (18298120275837*z^17)/280 + 
         (182801652555456*z^18)/35)*Cf[z]^6*tS0[z] + 
       ((-276965*z^6)/248832 + (1145651*z^7)/576 - (352534741*z^8)/288 + 
         (519241827*z^9)/2)*Cf[z]^4*tS0[z]^2 - 3185*Cf[z]^2*tS0[z]^3 + 
       (((42526940377*z^14)/2808571641200640 - (5879538344101*z^15)/
            111451255603200 + (187607399917099*z^16)/2407897497600 - 
           (3164389679002819*z^17)/50164531200 + (1748237466385097*z^18)/
            58060800 - (10769636468459*z^19)/1280 + (1409215015435131*z^20)/
            1120 - (26518370994548757*z^21)/350)*Cf[z]^7 + 
         ((-255031*z^8)/839808 + (2282623603*z^9)/3732480 - 
           (531890957*z^10)/1152 + (36999620059*z^11)/240 - 
           (95181530526*z^12)/5)*Cf[z]^5*tS0[z] + 
         ((9685*z^2)/24 - 273039*z^3)*Cf[z]^3*tS0[z]^2)*tS1[z] + 
       (((-84712231*z^10)/12899450880 + (11290658579*z^11)/716636160 - 
           (98834856889*z^12)/6635520 + (190717124107*z^13)/27648 - 
           (496195098127*z^14)/320 + (532690059231*z^15)/4)*Cf[z]^6 + 
         ((302363*z^4)/5184 - (2064115*z^5)/36 + 13779105*z^6)*Cf[z]^4*
          tS0[z])*tS1[z]^2 + 
       (((2871493*z^6)/3732480 - (204558827*z^7)/207360 + 
           (765623417*z^8)/1920 - (1946443149*z^9)/40)*Cf[z]^5 - 
         (2528*Cf[z]^3*tS0[z])/3)*tS1[z]^3 + ((755*z^2)/72 - 8911*z^3)*
        Cf[z]^4*tS1[z]^4) + S2[z]^2*
      (((2496321227737*z^20)/5241468739674282393600 - (7372327400831*z^21)/
          3235474530663137280 + (41635821127109*z^22)/8559456430325760 - 
         (76358446289001811*z^23)/12482540627558400 + 
         (62263890479530927*z^24)/12383472844800 - (94499653959416639*z^25)/
          33443020800 + (42576879381900247*z^26)/38707200 - 
         (314655846060953213*z^27)/1075200 + (1138490039915745561*z^28)/
          22400 - (908010239664911832*z^29)/175 + (41385837187222126416*z^30)/
          175)*Cf[z]^8 + ((-2304186811*z^14)/468095273533440 + 
         (1376272974367*z^15)/130026464870400 - (30087578505191*z^16)/
          3611846246400 + (21300714273469*z^17)/8360755200 + 
         (34376542723*z^18)/604800 - (426241431197*z^19)/2240 + 
         (2546743130199*z^20)/80 - (249565415558589*z^21)/175)*Cf[z]^6*
        tS0[z] + ((-2170753*z^8)/8957952 + (100982479*z^9)/207360 - 
         (511770181*z^10)/1440 + (555837022*z^11)/5 - (61918858053*z^12)/5)*
        Cf[z]^4*tS0[z]^2 + ((3185*z^2)/2 - 779688*z^3)*Cf[z]^2*tS0[z]^3 + 
       (((-1804109277013*z^16)/2022171581664460800 + (10949560005679*z^17)/
            3120635156889600 - (58153060607497*z^18)/9631589990400 + 
           (1021142261199469*z^19)/171992678400 - (30487538944664023*z^20)/
            8360755200 + (13841170559762867*z^21)/9676800 - 
           (7818890748114057*z^22)/22400 + (135139851132586479*z^23)/2800 - 
           (503482833873902889*z^24)/175)*Cf[z]^7 + 
         ((11640883*z^10)/1074954240 - (58985521*z^11)/2211840 + 
           (135141747629*z^12)/4976640 - (6807033653*z^13)/480 + 
           3760799595*z^14 - 400176878733*z^15)*Cf[z]^5*tS0[z] + 
         ((49153*z^4)/864 - (151645*z^5)/4 + 3868722*z^6)*Cf[z]^3*tS0[z]^2)*
        tS1[z] + (((14194214429*z^12)/24379962163200 - (173999183227*z^13)/
            100329062400 + (664868762447*z^14)/309657600 - 
           (163979240112157*z^15)/116121600 + (83770488201227*z^16)/161280 - 
           (141472949295381*z^17)/1400 + (1416718534606371*z^18)/175)*
          Cf[z]^6 + ((-1229599*z^6)/207360 + (106254991*z^7)/11520 - 
           (4563540589*z^8)/960 + (16149309993*z^9)/20)*Cf[z]^4*tS0[z] + 
         6396*Cf[z]^2*tS0[z]^2)*tS1[z]^2 + 
       (((-7876399*z^8)/53747712 + (233846639*z^9)/829440 - 
           (1545563347*z^10)/7680 + (20162620167*z^11)/320 - 
           (29093314239*z^12)/4)*Cf[z]^5 + ((2110*z^2)/3 - 324048*z^3)*
          Cf[z]^3*tS0[z])*tS1[z]^3 + ((23525*z^4)/2592 - (119195*z^5)/16 + 
         (2887083*z^6)/2)*Cf[z]^4*tS1[z]^4 + 145*Cf[z]^3*tS1[z]^5) + 
     S2[z]*(-9598875197747/1504935936 + (15957693295247*z)/2488320 + 
       ((-133423480357*z^22)/251590499504365554892800 - 
         (131128569314921*z^23)/6988624986232376524800 + 
         (23279466265439611*z^24)/194128471839788236800 - 
         (14101605904981627*z^25)/44937146259210240 + (1925360372700179*z^26)/
          4127824281600 - (12768391642767743699*z^27)/28894769971200 + 
         (1042865749871078353*z^28)/3715891200 - (895997728375122049*z^29)/
          7372800 + (3184181325401842831*z^30)/89600 - 
         (150806776945632554511*z^31)/22400 + (104656339550040647931*z^32)/
          140 - (1294925586423479582058*z^33)/35)*Cf[z]^8 + 
       (688662869/1152 + ((-130472474389*z^16)/112342865648025600 + 
           (1724513961209*z^17)/292559545958400 - (11304094596107*z^18)/
            902961561600 + (1097977061035357*z^19)/75246796800 - 
           (21472902677033053*z^20)/2090188800 + (5442358713568261*z^21)/
            1209600 - (6735120879196137*z^22)/5600 + (31513819869049716*z^23)/
            175 - (2030139876441895236*z^24)/175)*Cf[z]^6)*tS0[z] + 
       ((6188039*z^10)/134369280 - (1891280027*z^11)/14929920 + 
         (55362314449*z^12)/414720 - (24579491651*z^13)/360 + 
         (683036439579*z^14)/40 - (8386388042526*z^15)/5)*Cf[z]^4*tS0[z]^2 + 
       ((-14651*z^4)/36 + (729365*z^5)/2 - 82486404*z^6)*Cf[z]^2*tS0[z]^3 + 
       (((28033864213*z^18)/3466579854281932800 - (2172209442559*z^19)/
            168514298472038400 - (180405722974387*z^20)/9361905470668800 + 
           (437275273267421*z^21)/6191736422400 - (2429305133453419*z^22)/
            28665446400 + (5557127329838231*z^23)/99532800 - 
           (7180477255345909*z^24)/322560 + (2409923563422705*z^25)/448 - 
           (204116272948787103*z^26)/280 + (1496052784129265028*z^27)/35)*
          Cf[z]^7 + ((539081533*z^12)/451480780800 - (9908434381*z^13)/
            2351462400 + (378129729809*z^14)/65318400 - (29440813254511*z^15)/
            7257600 + (15600023473813*z^16)/10080 - (53705654050686*z^17)/
            175 + (4343887540502208*z^18)/175)*Cf[z]^5*tS0[z] + 
         ((-1521143*z^6)/51840 + (59222891*z^7)/1440 - (760876883*z^8)/40 + 
           (14454568206*z^9)/5)*Cf[z]^3*tS0[z]^2 + 45864*Cf[z]*tS0[z]^3)*
        tS1[z] + (((-803201971*z^14)/58511909191680 + (689295056593*z^15)/
            16253308108800 - (432302643383*z^16)/7524679680 + 
           (61827506417561*z^17)/1393459200 - (204217819694347*z^18)/
            9676800 + (331391057766173*z^19)/53760 - (2850487657477587*z^20)/
            2800 + (25469495027183583*z^21)/350)*Cf[z]^6 + 
         ((-45449*z^8)/248832 + (2015521*z^9)/6480 - (262744727*z^10)/1440 + 
           (416025847*z^11)/10 - 2668064049*z^12)*Cf[z]^4*tS0[z] + 
         (1495*z^2 - 470808*z^3)*Cf[z]^2*tS0[z]^2)*tS1[z]^2 + 
       (((6662099*z^10)/806215680 - (1861220987*z^11)/89579520 + 
           (10356556661*z^12)/497664 - (119420052101*z^13)/11520 + 
           (82075627455*z^14)/32 - (2517859400841*z^15)/10)*Cf[z]^5 + 
         ((-10495*z^4)/144 + (225250*z^5)/3 - 18930960*z^6)*Cf[z]^3*tS0[z])*
        tS1[z]^3 + (((-1077769*z^6)/622080 + (41978503*z^7)/17280 - 
           (539516509*z^8)/480 + (1712069793*z^9)/10)*Cf[z]^4 + 
         2430*Cf[z]^2*tS0[z])*tS1[z]^4 + ((275*z^2)/12 - 6090*z^3)*Cf[z]^3*
        tS1[z]^5)
 
Ff[6] = -23111200900423849355533/1387701312266222010630144000 + 
     (18028800059430426960887339*z)/157401306252418700279808000 - 
     (101518128188458730905932157*z^2)/364354875584302546944000 + 
     (4728692303328582455042093*z^3)/15334801160955494400 - 
     (62519543762649999506669717*z^4)/390469474005811200 + 
     (4102106616413748368530717*z^5)/129123503308800 + 
     ((68583538896462104730493*z^30)/
        4210217571699810927146979064276844544000 - 
       (3717382291696327228561*z^31)/51565470944785064265468585443328000 + 
       (29535006963031478711419*z^32)/208887903132809866816134316032000 - 
       (53823699209262591152683*z^33)/334756255020528632718163968000 + 
       (20013984396490947940421*z^34)/172199719660765757571072000 - 
       (10536390246224117895371*z^35)/191923555863336321024000 + 
       (179924202124080803836067*z^36)/10795700017312668057600 - 
       (4665825022415259184627*z^37)/1542595452862464000 + 
       (34576149236463474256367*z^38)/128549621071872000 - 
       (40291868779694726154997*z^39)/8034351316992000)*Cf[z]^10 + 
     ((-2825*z^2)/256 + (2422095*z^3)/256)*Cf[z]^10*S2[z]^14 + 
     (82825*Cf[z]^10*S2[z]^15)/3072 + 
     (8881933843953092827/700682453046735667200 - (93918928634676943943*z)/
        1621950122793369600 + (349313221317290184113*z^2)/3754514173132800 - 
       (108767438870242307927*z^3)/1738201006080 + (6071199574786000579*z^4)/
        402361344 + ((46189146073926897337*z^24)/
          1506403147592378847231737856000 - (828856975949404390501*z^25)/
          3487044323130506590814208000 + (6570005115050162787919*z^26)/
          8071861859098394886144000 - (10222910653835076625831*z^27)/
          6228288471526539264000 + (4718515449372942723433*z^28)/
          2162600163724492800 - (44965853400585293323171*z^29)/
          22248972877824000 + (248624529938265123608027*z^30)/
          185408107315200 - (62759835413694841704367*z^31)/97542144000 + 
         (100219736506663420579397*z^32)/451584000 - 
         (84263017698430992763959*z^33)/1568000 + 
         (243080920235953173797109*z^34)/28000 - 
         (21024178307502865194393*z^35)/25 + (924380419414701651695352*z^36)/
          25)*Cf[z]^8)*tS0[z] + (-11770961913689/5224277606400 + 
       (387000138167*z)/49766400 - (2996887961515*z^2)/373248 + 
       (33521827484243*z^3)/12960 + 
       ((-1579779595069493*z^18)/545986327049404416000 + 
         (946645916780539*z^19)/60183678025728000 - (120575273614991*z^20)/
          3250661621760 + (168972797811550489*z^21)/3386105856000 - 
         (3637905820594681*z^22)/86016000 + (4541101986902617177*z^23)/
          193536000 - (137680512699860759449*z^24)/16128000 + 
         (220339900642218318369*z^25)/112000 - (1826799850395039854043*z^26)/
          7000 + (13302234201417060098862*z^27)/875)*Cf[z]^6)*tS0[z]^2 + 
     (860002663/1399680 - (98764552009*z)/77760 + (5341871621*z^2)/9 + 
       ((2878164137*z^12)/48372940800 - (1666364956963*z^13)/8062156800 + 
         (2727000818683*z^14)/9331200 - (9298784537623*z^15)/43200 + 
         (10473255631691*z^16)/120 - (462942537501132*z^17)/25 + 
         (40248996697082016*z^18)/25)*Cf[z]^4)*tS0[z]^3 + 
     ((-4069247*z^6)/4320 + (197610049*z^7)/120 - (8961020341*z^8)/10 + 
       (779086061208*z^9)/5)*Cf[z]^2*tS0[z]^4 + (17795232*tS0[z]^5)/5 + 
     (-933480275103294173/3243900245586739200 + (1072857756187261531*z)/
        5006018897510400 + (109692278586913237*z^2)/241416806400 - 
       (1408783729997125037*z^3)/3218890752 + 
       ((10361464932010369*z^26)/17933370804671176752758784000 - 
         (1286326160285643863*z^27)/217374191571771839427379200 + 
         (1085632030864361367461*z^28)/43049929915191439392768000 - 
         (18384020558973951419431*z^29)/298957846633273884672000 + 
         (101277557856302530541141*z^30)/1038048078587756544000 - 
         (6201590217702678793982803*z^31)/57669337699319808000 + 
         (136669219694320642056932059*z^32)/1601926047203328000 - 
         (183818241166826221876503133*z^33)/3708162146304000 + 
         (20190766210535645315014159*z^34)/953745408000 - 
         (26152637414330425541910613*z^35)/3973939200 + 
         (200164511480829436112140419*z^36)/137984000 - 
         (264986224171013631816413073*z^37)/1232000 + 
         (1482632296359065269781351193*z^38)/77000 - 
         (216422051975820525119862006*z^39)/275)*Cf[z]^9 + 
       (-4482992605/4478976 + (514836494515*z)/248832 - (139229632675*z^2)/
          144 + ((-384862111601*z^20)/3033257372496691200 + 
           (6344933577737*z^21)/7522959753216000 - (4215340280678083*z^22)/
            1755357275750400 + (3797526032909929991*z^23)/975198486528000 - 
           (14487285822654208589*z^24)/3611846246400 + 
           (345758587611834614773*z^25)/125411328000 - 
           (746693203482987637357*z^26)/580608000 + 
           (19360384315011232537*z^27)/48000 - (142822874647216485963*z^28)/
            1750 + (8436423265518931754067*z^29)/875 - 
           (442681016599164256990632*z^30)/875)*Cf[z]^7)*tS0[z] + 
       (-2101373447/19440 + (909254744*z)/9 + 
         ((7307640997*z^14)/1218998108160 - (8315666111087*z^15)/
            338610585600 + (14531050077181*z^16)/348364800 - 
           (27782512527607*z^17)/725760 + (345977522059387*z^18)/16800 - 
           (912573811490843*z^19)/140 + (197273848698502776*z^20)/175 - 
           (2882657177831772864*z^21)/35)*Cf[z]^5)*tS0[z]^2 + 
       (-22569400 + ((-9267299*z^8)/93312 + (1526094461*z^9)/6480 - 
           (2335288009*z^10)/12 + (341558143266*z^11)/5 - 
           (43593161699232*z^12)/5)*Cf[z]^3)*tS0[z]^3 + 
       (529620*z^2 - 236422368*z^3)*Cf[z]*tS0[z]^4)*tS1[z] + 
     (33647390341513/752467968 - (50872530388753*z)/1244160 + 
       ((-1445257480811*z^22)/3743906242624487424000 + 
         (2748616184137667*z^23)/727981769399205888000 - 
         (80620238287224757*z^24)/5777633090469888000 + 
         (32802919768160869*z^25)/1170238183833600 - 
         (183161771036884000969*z^26)/5201058594816000 + 
         (712374435559708734221*z^27)/24078974976000 - 
         (6880153995578444083739*z^28)/401316249600 + 
         (32058524701390163160599*z^29)/4644864000 - 
         (10221501637783393567763*z^30)/5376000 + 
         (38371286379915175725693*z^31)/112000 - 
         (510245983263339974106657*z^32)/14000 + 
         (217256280237177742489869*z^33)/125)*Cf[z]^8 + 
       (73530625/4 + ((35660026259*z^16)/390079394611200 - 
           (51303826541*z^17)/112870195200 + (8423436528923*z^18)/
            9029615616 - (6581390368140913*z^19)/6270566400 + 
           (41529502219638623*z^20)/58060800 - (1472692899098931943*z^21)/
            4838400 + (355482292696906243*z^22)/4480 - 
           (4068938621519327547*z^23)/350 + (128586705970844546406*z^24)/175)*
          Cf[z]^6)*tS0[z] + ((-2167133*z^10)/699840 + (2665150691*z^11)/
          311040 - (78261867407*z^12)/8640 + (37109983147*z^13)/8 - 
         (5801794742466*z^14)/5 + (570084196896576*z^15)/5)*Cf[z]^4*
        tS0[z]^2 + ((238135*z^4)/9 - 23567720*z^5 + 5215307904*z^6)*Cf[z]^2*
        tS0[z]^3)*tS1[z]^2 + 
     (((-861697457963*z^18)/15166286862483456000 - (40984492421681*z^19)/
          210642873090048000 + (206864638306447*z^20)/167176883404800 - 
         (31553603793848429*z^21)/13544423424000 + (290372722865635147*z^22)/
          125411328000 - (9679549029920192293*z^23)/6967296000 + 
         (303439934392844381831*z^24)/580608000 - (54259458607672459679*z^25)/
          448000 + (444135766503556577853*z^26)/28000 - 
         (225198322514497898343*z^27)/250)*Cf[z]^7 + 
       ((-1744164739*z^12)/84652646400 + (27948311641*z^13)/391910400 - 
         (12487548900383*z^14)/130636800 + (118279967918479*z^15)/1814400 - 
         (32494872112933*z^16)/1344 + (1630950791690097*z^17)/350 - 
         (64121530628625948*z^18)/175)*Cf[z]^5*tS0[z] + 
       ((640117*z^6)/1620 - (43743533*z^7)/90 + (980753198*z^8)/5 - 
         (129400318368*z^9)/5)*Cf[z]^3*tS0[z]^2 + 631680*Cf[z]*tS0[z]^3)*
      tS1[z]^3 + (((2592750907*z^14)/14627977297920 - (100744940515*z^15)/
          162533081088 + (70988367942407*z^16)/75246796800 - 
         (140060425988767*z^17)/174182400 + (2659230106424069*z^18)/6451200 - 
         (170142110250607*z^19)/1344 + (30114407132480547*z^20)/1400 - 
         (272537264109362589*z^21)/175)*Cf[z]^6 + 
       ((-12869*z^8)/3888 + (1109062*z^9)/135 - (1263906497*z^10)/180 + 
         (12669332696*z^11)/5 - (1655610590736*z^12)/5)*Cf[z]^4*tS0[z] + 
       (55600*z^2 - 24577920*z^3)*Cf[z]^2*tS0[z]^2)*tS1[z]^4 + 
     (((-3931379*z^10)/53747712 + (284630477*z^11)/1492992 - 
         (40129702799*z^12)/207360 + (30800210571*z^13)/320 - 
         (941973943101*z^14)/40 + (11369066207994*z^15)/5)*Cf[z]^5 + 
       (1400*z^4 - 1233000*z^5 + 269939520*z^6)*Cf[z]^3*tS0[z])*tS1[z]^5 + 
     (((66443*z^6)/7776 - (2357441*z^7)/216 + (13812349*z^8)/3 - 
         641147328*z^9)*Cf[z]^4 + 14400*Cf[z]^2*tS0[z])*tS1[z]^6 + 
     ((1250*z^2)/3 - 182400*z^3)*Cf[z]^3*tS1[z]^7 + 
     S2[z]^13*(((14671085*z^4)/7962624 - (61465075*z^5)/18432 + 
         (383385675*z^6)/256)*Cf[z]^10 + (102245*Cf[z]^9*tS1[z])/768) + 
     S2[z]^12*(((-11937625*z^6)/95551488 + (560356855*z^7)/1327104 - 
         (219410649*z^8)/512 + (4440779181*z^9)/32)*Cf[z]^10 - 
       (196075*Cf[z]^8*tS0[z])/1152 + ((-568375*z^2)/9216 + 
         (5954945*z^3)/128)*Cf[z]^9*tS1[z]) + 
     S2[z]^11*(((-99393695*z^8)/15479341056 - (1172997209*z^9)/286654464 + 
         (6664561597*z^10)/221184 - (86909752837*z^11)/3072 + 
         (258228422055*z^12)/32)*Cf[z]^10 + 
       ((152725*z^2)/2304 - (1670105*z^3)/32)*Cf[z]^8*tS0[z] + 
       ((19662545*z^4)/1492992 - (540789185*z^5)/27648 + (476085631*z^6)/64)*
        Cf[z]^9*tS1[z] + (14995*Cf[z]^8*tS1[z]^2)/144) + 
     S2[z]^10*(((6513488791*z^10)/2972033482752 - (76448168927*z^11)/
          13759414272 + (296236732243*z^12)/63700992 - (119901413161*z^13)/
          147456 - (745644986529*z^14)/1024 + (90048324971619*z^15)/320)*
        Cf[z]^10 + ((-3401305*z^4)/331776 + (19495625*z^5)/1152 - 
         (223558545*z^6)/32)*Cf[z]^8*tS0[z] + 
       (((-235320599*z^6)/143327232 + (1215482029*z^7)/331776 - 
           (5671825405*z^8)/2048 + (91310790771*z^9)/128)*Cf[z]^9 - 
         (9085*Cf[z]^7*tS0[z])/32)*tS1[z] + 
       ((-1310825*z^2)/27648 + (4293675*z^3)/128)*Cf[z]^8*tS1[z]^2) + 
     S2[z]^9*(((-2368848797965*z^12)/11555266180939776 + 
         (6667605197639*z^13)/8916100448256 - (22551124197089*z^14)/
          20639121408 + (568519298414173*z^15)/716636160 - 
         (153331754135743*z^16)/552960 + (4726626466937*z^17)/160 + 
         (78722420181849*z^18)/20)*Cf[z]^10 + 
       ((215411*z^6)/497664 - (267910009*z^7)/165888 + (7485439837*z^8)/
          4608 - (16151701935*z^9)/32)*Cf[z]^8*tS0[z] + 
       (350705*Cf[z]^6*tS0[z]^2)/288 + 
       (((41333240465*z^8)/371504185344 - (153296852293*z^9)/429981696 + 
           (140293347917*z^10)/331776 - (1027830917507*z^11)/4608 + 
           (89321399007*z^12)/2)*Cf[z]^9 + ((10925*z^2)/48 - (516465*z^3)/4)*
          Cf[z]^7*tS0[z])*tS1[z] + ((458484875*z^4)/35831808 - 
         (1340479405*z^5)/82944 + (1034154263*z^6)/192)*Cf[z]^8*tS1[z]^2 + 
       (229625*Cf[z]^7*tS1[z]^3)/10368) + 
     S2[z]^8*(((46491475645*z^14)/7703510787293184 - (50412559171183*z^15)/
          1497904875307008 + (567778806264977*z^16)/7705271992320 - 
         (13487539899039071*z^17)/160526499840 + (3338081783852017*z^18)/
          61931520 - (2720407537905893*z^19)/143360 + 
         (11121434084561445*z^20)/3584 - (121312651779650349*z^21)/1120)*
        Cf[z]^10 + ((3338678515*z^8)/30958682112 - (5690613605*z^9)/
          35831808 + (628639195*z^10)/18432 + (16208672381*z^11)/384 - 
         (71054020323*z^12)/4)*Cf[z]^8*tS0[z] + 
       ((-29425*z^2)/64 + (647025*z^3)/2)*Cf[z]^6*tS0[z]^2 + 
       (((172305835*z^10)/247669456896 + (24866644681*z^11)/3439853568 - 
           (1142504775559*z^12)/53084160 + (3073582733237*z^13)/138240 - 
           (26216529279161*z^14)/2560 + (36203375806443*z^15)/20)*Cf[z]^9 + 
         ((-108428855*z^4)/1492992 + (290723485*z^5)/3456 - 
           (195073661*z^6)/8)*Cf[z]^7*tS0[z])*tS1[z] + 
       (((-64625315*z^6)/23887872 + (3116135165*z^7)/663552 - 
           (5744935493*z^8)/2048 + (74806038735*z^9)/128)*Cf[z]^8 + 
         (310315*Cf[z]^6*tS0[z])/288)*tS1[z]^2 + 
       ((152875*z^2)/6912 - (328525*z^3)/48)*Cf[z]^7*tS1[z]^3) + 
     S2[z]^7*(((66196837194101*z^16)/93181666483098353664 - 
         (567954581057*z^17)/240734712102912 + (7437983328421*z^18)/
          2568423997440 - (80791623125957*z^19)/68797071360 - 
         (2348803052579069*z^20)/3344302080 + (15526377210565973*z^21)/
          15482880 - (8135636914843687*z^22)/17920 + (99954927966850983*z^23)/
          1120 - (1481775752488641831*z^24)/280)*Cf[z]^10 + 
       ((-2045314951*z^10)/92876046336 + (74100751877*z^11)/1289945088 - 
         (286598472641*z^12)/4976640 + (3669402201307*z^13)/138240 - 
         (1573849323153*z^14)/320 + (450492594354*z^15)/5)*Cf[z]^8*tS0[z] + 
       ((8452435*z^4)/124416 - (56360695*z^5)/576 + (286037247*z^6)/8)*
        Cf[z]^6*tS0[z]^2 + (((-2509575737887*z^12)/2246857312960512 + 
           (42359242699*z^13)/13544423424 - (44364962790053*z^14)/
            13377208320 + (51198943647011*z^15)/34836480 - 
           (8888428080467*z^16)/161280 - (183070779684981*z^17)/1120 + 
           (11048319718796187*z^18)/280)*Cf[z]^9 + 
         ((56593739*z^6)/4478976 - (1380828379*z^7)/62208 + 
           (2507073379*z^8)/192 - (10278246783*z^9)/4)*Cf[z]^7*tS0[z] - 
         (6920*Cf[z]^5*tS0[z]^2)/3)*tS1[z] + 
       (((9197524175*z^8)/20639121408 - (2953589807*z^9)/2985984 + 
           (3848381663*z^10)/4608 - (122875681139*z^11)/384 + 
           (3797528153067*z^12)/80)*Cf[z]^8 + ((-575575*z^2)/864 + 
           (4579595*z^3)/12)*Cf[z]^6*tS0[z])*tS1[z]^2 + 
       ((-52234645*z^4)/2985984 + (14503585*z^5)/864 - (122707827*z^6)/32)*
        Cf[z]^7*tS1[z]^3 + (635*Cf[z]^6*tS1[z]^4)/1152) + 
     S2[z]^6*(((-55253472707045*z^18)/559089998898590121984 + 
         (1747946693925611*z^19)/3882569436795764736 - 
         (484602366798963409*z^20)/539245755110522880 + 
         (1597546231388013257*z^21)/1560317578444800 - 
         (498737046895586263*z^22)/687970713600 + (270975206834763391*z^23)/
          836075520 - (681459104388705337*z^24)/7741440 + 
         (2304398340248917497*z^25)/179200 - (3997364554576732041*z^26)/
          5600 + (2706284872454125419*z^27)/700)*Cf[z]^10 + 
       ((81119672843*z^12)/46809527353344 - (7617852559897*z^13)/
          1300264648704 + (27466712975813*z^14)/3344302080 - 
         (210992471541347*z^15)/34836480 + (26235868337677*z^16)/10752 - 
         (69006793545327*z^17)/140 + (2493471451700421*z^18)/70)*Cf[z]^8*
        tS0[z] + ((-274237*z^6)/186624 + (257456897*z^7)/41472 - 
         (2344667351*z^8)/384 + (14331353715*z^9)/8)*Cf[z]^6*tS0[z]^2 - 
       (28060*Cf[z]^4*tS0[z]^3)/3 + 
       (((1788002300005*z^14)/13481143877763072 - (181640512257271*z^15)/
            374476218826752 + (13027881888801767*z^16)/17336861982720 - 
           (25404400138748053*z^17)/40131624960 + (28556544002414783*z^18)/
            92897280 - (2535927304757579*z^19)/30720 + 
           (44857909927913571*z^20)/4480 - (8848272331614897*z^21)/56)*
          Cf[z]^9 + ((-491500165*z^8)/429981696 + (24929902439*z^9)/8957952 - 
           (105585182287*z^10)/41472 + (16590871135*z^11)/16 - 
           (792948908151*z^12)/5)*Cf[z]^7*tS0[z] + 
         ((-4400*z^2)/9 + 10400*z^3)*Cf[z]^5*tS0[z]^2)*tS1[z] + 
       (((-6378033995*z^10)/123834728448 + (243390696325*z^11)/1719926784 - 
           (37425417723499*z^12)/238878720 + (1613469310723*z^13)/18432 - 
           (15856410759097*z^14)/640 + (45801715790727*z^15)/16)*Cf[z]^8 + 
         ((217105*z^4)/1728 - (271570015*z^5)/1728 + (386094451*z^6)/8)*
          Cf[z]^6*tS0[z])*tS1[z]^2 + 
       (((83457595*z^6)/17915904 - (3610276639*z^7)/497664 + 
           (51408547393*z^8)/13824 - (19935045085*z^9)/32)*Cf[z]^7 - 
         (33635*Cf[z]^5*tS0[z])/12)*tS1[z]^3 + 
       ((-675395*z^2)/6912 + (490217*z^3)/12)*Cf[z]^6*tS1[z]^4) + 
     S2[z]^5*(((493373772953933*z^20)/100636199801746221957120 - 
         (1488752450178541*z^21)/58238541551936471040 + 
         (324619914658587997*z^22)/5392457551105228800 - 
         (1049160348516051131*z^23)/12482540627558400 + 
         (3547598659618226861*z^24)/46231631953920 - 
         (38212091931879535841*z^25)/802632499200 + 
         (14997813767045905357*z^26)/743178240 - (6142944315585103493*z^27)/
          1075200 + (7310736639079971345*z^28)/7168 - 
         (572517056686938659757*z^29)/5600 + (3123783796046467958307*z^30)/
          700)*Cf[z]^10 + ((-815600777*z^14)/93619054706688 + 
         (1867245541537*z^15)/26005292974080 - (58462300330361*z^16)/
          309586821120 + (1211984798783359*z^17)/5016453120 - 
         (19825600165647209*z^18)/116121600 + (18220185673106909*z^19)/
          268800 - (39067814346280767*z^20)/2800 + (194166982609390197*z^21)/
          175)*Cf[z]^8*tS0[z] + ((-9857675*z^8)/8957952 + 
         (246632041*z^9)/124416 - (233355187*z^10)/192 + 
         (4106001897*z^11)/16 - (12149385291*z^12)/10)*Cf[z]^6*tS0[z]^2 + 
       ((21575*z^2)/6 - 2175060*z^3)*Cf[z]^4*tS0[z]^3 + 
       (((-13934027105113*z^16)/1941284718397882368 + (174334437016991*z^17)/
            5617143282401280 - (5111396146311601*z^18)/86684309913600 + 
           (57818283699549581*z^19)/902961561600 - (1445938472030084593*z^20)/
            33443020800 + (28552201294139603*z^21)/1548288 - 
           (214420968299436029*z^22)/44800 + (9406203352601805*z^23)/14 - 
           (5067553709103018597*z^24)/140)*Cf[z]^9 + 
         ((1603897*z^10)/429981696 - (1867751947*z^11)/35831808 + 
           (1597246690141*z^12)/14929920 - (509107568971*z^13)/5760 + 
           (2652216466539*z^14)/80 - 4713331599054*z^15)*Cf[z]^7*tS0[z] + 
         ((402185*z^4)/864 - (5096735*z^5)/12 + 88396632*z^6)*Cf[z]^5*
          tS0[z]^2)*tS1[z] + (((317709246191*z^12)/93619054706688 - 
           (128591000849*z^13)/11287019520 + (26831192210923*z^14)/
            1672151040 - (844973950974847*z^15)/69672960 + 
           (743907814311351*z^16)/143360 - (5347397929273671*z^17)/4480 + 
           (64849486959243639*z^18)/560)*Cf[z]^8 + 
         ((-35723*z^6)/41472 + (57685355*z^7)/6912 - (4816393261*z^8)/576 + 
           (8876531091*z^9)/4)*Cf[z]^6*tS0[z] - 5730*Cf[z]^4*tS0[z]^2)*
        tS1[z]^2 + (((-747694609*z^8)/1289945088 + (9458435201*z^9)/7464960 - 
           (71347259081*z^10)/69120 + (44479705517*z^11)/120 - 
           (1973179096497*z^12)/40)*Cf[z]^7 + ((10645*z^2)/12 - 572256*z^3)*
          Cf[z]^5*tS0[z])*tS1[z]^3 + ((10319519*z^4)/248832 - 
         (5977955*z^5)/144 + (80708049*z^6)/8)*Cf[z]^6*tS1[z]^4 - 
       (18907*Cf[z]^5*tS1[z]^5)/120) + 
     S2[z]^4*(((1588976998859*z^22)/86259599830068190248960 - 
         (2645936149976683*z^23)/20965874958697129574400 + 
         (187895616564672767*z^24)/582385415519364710400 - 
         (3275722246515463*z^25)/7988826001637376 + 
         (2519302580600633437*z^26)/9986032502046720 - 
         (1268753354039525341*z^27)/115579079884800 - 
         (13491267537862872529*z^28)/133772083200 + (85695557453292131*z^29)/
          1075200 - (44663785552810174203*z^30)/1433600 + 
         (87557943556718136567*z^31)/12800 - (1112394972737551927329*z^32)/
          1400 + (968784903628654457547*z^33)/25)*Cf[z]^10 + 
       ((-13592904974251*z^16)/1213302948998676480 + (63029252719273*z^17)/
          1404285820600320 - (119612711751263*z^18)/1547934105600 + 
         (3732978054477641*z^19)/50164531200 - (364487717133358957*z^20)/
          8360755200 + (76283933339435729*z^21)/4838400 - 
         (75931050357470661*z^22)/22400 + (544032886714538607*z^23)/1400 - 
         (3159512258895790407*z^24)/175)*Cf[z]^8*tS0[z] + 
       ((40643725*z^10)/214990848 - (118853809*z^11)/248832 + 
         (119108895749*z^12)/248832 - (453119542747*z^13)/1920 + 
         (902129193981*z^14)/16 - (25215615961641*z^15)/5)*Cf[z]^6*tS0[z]^2 + 
       ((-1407175*z^4)/2592 + (1927220*z^5)/3 - 195382296*z^6)*Cf[z]^4*
        tS0[z]^3 + (((-1401854877137*z^18)/58238541551936471040 + 
           (120575775358123*z^19)/2022171581664460800 + 
           (645625347132733*z^20)/11234286564802560 - 
           (11978544969373553*z^21)/32506616217600 + 
           (1382428781455939909*z^22)/2407897497600 - 
           (436494773625828371*z^23)/928972800 + (975592913207212553*z^24)/
            4300800 - (723405082755094737*z^25)/11200 + 
           (27693363182286323043*z^26)/2800 - (4215317773288244886*z^27)/7)*
          Cf[z]^9 + ((51674434091*z^12)/4179422085120 - (229517096741*z^13)/
            6449725440 + (1862052854377*z^14)/44789760 - 
           (31028669081287*z^15)/1244160 + (182470977906871*z^16)/23040 - 
           (95861450631339*z^17)/80 + (571539148563231*z^18)/10)*Cf[z]^7*
          tS0[z] + ((-1144625*z^6)/10368 + (23851043*z^7)/144 - 
           (981085955*z^8)/12 + 13101454692*z^9)*Cf[z]^5*tS0[z]^2 + 
         57500*Cf[z]^3*tS0[z]^3)*tS1[z] + 
       (((-9039891197*z^14)/2808571641200640 + (2064678735029*z^15)/
            27862813900800 - (85359999160873*z^16)/361184624640 + 
           (203982906123223*z^17)/619315200 - (114540104937471263*z^18)/
            464486400 + (22359632161014521*z^19)/215040 - 
           (131156010709386507*z^20)/5600 + (1546748605488943233*z^21)/700)*
          Cf[z]^8 + ((-48678341*z^8)/13436928 + (4032131017*z^9)/622080 - 
           (8978770643*z^10)/2160 + (32933883497*z^11)/30 - 
           (932958196119*z^12)/10)*Cf[z]^6*tS0[z] + 
         ((18355*z^2)/2 - 4176324*z^3)*Cf[z]^4*tS0[z]^2)*tS1[z]^2 + 
       (((572389543*z^10)/38698352640 - (28513367093*z^11)/537477120 + 
           (1058587305589*z^12)/14929920 - (1040827086253*z^13)/23040 + 
           (4443304493579*z^14)/320 - (33139203013611*z^15)/20)*Cf[z]^7 + 
         ((279697*z^4)/1944 - (2716015*z^5)/36 + 59190*z^6)*Cf[z]^5*tS0[z])*
        tS1[z]^3 + (((-39793877*z^6)/7464960 + (28846781*z^7)/3240 - 
           (873838051*z^8)/180 + (4308790341*z^9)/5)*Cf[z]^6 + 
         (16261*Cf[z]^4*tS0[z])/3)*tS1[z]^4 + ((36805*z^2)/144 - 116188*z^3)*
        Cf[z]^5*tS1[z]^5) + S2[z]^3*
      (((-5087026149205859*z^24)/326061287357657759141068800 + 
         (4761883455387023*z^25)/47921999905593439027200 - 
         (1141647127716522709*z^26)/3993499992132786585600 + 
         (39805112391322892693*z^27)/80886863266578432000 - 
         (30474427407261286090961*z^28)/53924575511052288000 + 
         (56967722590062566779591*z^29)/124825406275584000 - 
         (38402133230914896026881*z^30)/144473849856000 + 
         (15048441878931130619141*z^31)/133772083200 - 
         (3796690157956611188737*z^32)/110592000 + 
         (26411768054080897792873*z^33)/3584000 - 
         (23684520732929553366783*z^34)/22400 + 
         (182581100791222765432329*z^35)/2000 - 
         (3145097488101302063447919*z^36)/875)*Cf[z]^10 + 
       ((1821996468907*z^18)/1819954423498014720 - (2308988455164199*z^19)/
          505542895416115200 + (8633081008909573*z^20)/936190547066880 - 
         (175764255906018089*z^21)/16253308108800 + (50870515700983807*z^22)/
          6270566400 - (2809577897079083941*z^23)/696729600 + 
         (178163159843655463*z^24)/134400 - (48508538263624401*z^25)/175 + 
         (5838462672520876893*z^26)/175 - (308048640142761350964*z^27)/175)*
        Cf[z]^8*tS0[z] + ((-56699262973*z^12)/4875992432640 + 
         (53006099899*z^13)/1504935936 - (1044694203479*z^14)/23224320 + 
         (17938171963715*z^15)/580608 - (42918442192431*z^16)/3584 + 
         (1379904154735653*z^17)/560 - (14512953153730527*z^18)/70)*Cf[z]^6*
        tS0[z]^2 + ((118781*z^6)/31104 - (7230463*z^7)/432 + 
         (47838254*z^8)/3 - 4424571072*z^9)*Cf[z]^4*tS0[z]^3 + 
       88270*Cf[z]^2*tS0[z]^4 + 
       (((639662820206149*z^20)/20965874958697129574400 - 
           (853768485964511*z^21)/5392457551105228800 + 
           (491370216126964283*z^22)/1348114387776307200 - 
           (9182951018455825523*z^23)/18723810941337600 + 
           (148073710189100749439*z^24)/346737239654400 - 
           (16801185166706029267*z^25)/66886041600 + 
           (187482596118620044717*z^26)/1857945600 - 
           (610909689255967551*z^27)/22400 + (84829824650850139269*z^28)/
            17920 - (666517663821560550327*z^29)/1400 + 
           (7438309265452639205763*z^30)/350)*Cf[z]^9 + 
         ((-35871220571*z^14)/25076532510720 + (245732381599157*z^15)/
            48759924326400 - (227873014838933*z^16)/30098718720 + 
           (19682250969249133*z^17)/3135283200 - (7490346708436339*z^18)/
            2419200 + (608349557758093*z^19)/672 - (101169581370160959*z^20)/
            700 + (1686311253911931012*z^21)/175)*Cf[z]^7*tS0[z] + 
         ((49402333*z^8)/4478976 - (1179107617*z^9)/51840 + 
           (4229891321*z^10)/240 - (30279253169*z^11)/5 + 
           (3865265151552*z^12)/5)*Cf[z]^5*tS0[z]^2 + 
         ((-19945*z^2)/3 + 5536344*z^3)*Cf[z]^3*tS0[z]^3)*tS1[z] + 
       (((-83993524289029*z^16)/4044343163328921600 + (130075334450483*z^17)/
            1560317578444800 - (468133208444957*z^18)/3250661621760 + 
           (84056299360715701*z^19)/601974374400 - (923774210044026181*z^20)/
            11147673600 + (791115508995771823*z^21)/25804800 - 
           (76600302786422507*z^22)/11200 + (9249532174775404503*z^23)/
            11200 - (5550422099348277351*z^24)/140)*Cf[z]^8 + 
         ((64358233*z^10)/100776960 - (70195512781*z^11)/44789760 + 
           (632601332851*z^12)/414720 - (3171005956009*z^13)/4320 + 
           (347891020065*z^14)/2 - (80707796608104*z^15)/5)*Cf[z]^6*tS0[z] + 
         ((-1016981*z^4)/432 + (4743355*z^5)/2 - 587135736*z^6)*Cf[z]^4*
          tS0[z]^2)*tS1[z]^2 + (((776165407939*z^12)/146279772979200 - 
           (140234894633*z^13)/9405849600 + (213492688052041*z^14)/
            12541132800 - (583233408162151*z^15)/58060800 + 
           (6183765571347499*z^16)/1935360 - (5699013809722763*z^17)/11200 + 
           (42489145956406473*z^18)/1400)*Cf[z]^7 + 
         ((-19871267*z^6)/233280 + (1506174493*z^7)/12960 - 
           (6188571683*z^8)/120 + (36802184382*z^9)/5)*Cf[z]^5*tS0[z] + 
         42344*Cf[z]^3*tS0[z]^2)*tS1[z]^3 + 
       (((-20258879*z^8)/107495424 + (44659457*z^9)/276480 + 
           (3006983057*z^10)/69120 - (33320900833*z^11)/480 + 
           (613561817691*z^12)/40)*Cf[z]^6 + ((3370*z^2)/9 + 103808*z^3)*
          Cf[z]^4*tS0[z])*tS1[z]^4 + ((-548195*z^4)/10368 + (445055*z^5)/8 - 
         14212902*z^6)*Cf[z]^5*tS1[z]^5 + (2935*Cf[z]^4*tS1[z]^6)/6) + 
     S2[z]^2*(((956744569627969*z^26)/1304245149430631036564275200 - 
         (381887646173797999*z^27)/79703870242983007790039040 + 
         (394226054117194557977*z^28)/27674954945480211038208000 - 
         (4368915085946848872209*z^29)/170833055219013648384000 + 
         (73515224371689366248849*z^30)/2372681322486300672000 - 
         (13792002594404276163167*z^31)/514904800886784000 + 
         (649010197530009376841089*z^32)/38141096361984000 - 
         (19738141777421369226919*z^33)/2452488192000 + 
         (82772796867028374932699*z^34)/29196288000 - 
         (173752274261769913332307*z^35)/236544000 + 
         (1340519769479647011441951*z^36)/9856000 - 
         (476982660860948380161123*z^37)/28000 + 
         (71141334289489628354826*z^38)/55 - (61837769780781258527690616*
           z^39)/1375)*Cf[z]^10 + 
       ((-2799640677109*z^20)/109197265409880883200 + (332865696799397*z^21)/
          3033257372496691200 - (7708693205339809*z^22)/37447621882675200 + 
         (38640340261948907*z^23)/173368619827200 - 
         (13363242098696886707*z^24)/86684309913600 + 
         (66039727136058503*z^25)/928972800 - (1139539403692616057*z^26)/
          51609600 + (152352017757884207*z^27)/33600 - 
         (12980120532870976749*z^28)/22400 + (6922680792616947276*z^29)/175 - 
         (32321670819702861942*z^30)/35)*Cf[z]^8*tS0[z] + 
       ((-424182217*z^14)/1218998108160 + (539930964877*z^15)/338610585600 - 
         (858202379*z^16)/306180 + (111425547269041*z^17)/43545600 - 
         (2154523593330629*z^18)/1612800 + (902375044762449*z^19)/2240 - 
         (13075664273890731*z^20)/200 + (776482144113029238*z^21)/175)*
        Cf[z]^6*tS0[z]^2 + ((13600463*z^8)/1119744 - (627184927*z^9)/25920 + 
         (354054573*z^10)/20 - (28127097498*z^11)/5 + 650250452160*z^12)*
        Cf[z]^4*tS0[z]^3 + (-44135*z^2 + 21608496*z^3)*Cf[z]^2*tS0[z]^4 + 
       (((-37254285197579*z^22)/20965874958697129574400 + 
           (23120439314249591*z^23)/2329541662077458841600 - 
           (24271866058519073809*z^24)/970642359198941184000 + 
           (12060575141792684069*z^25)/320979616137216000 - 
           (389575325735706791381*z^26)/10402117189632000 + 
           (33556164232028518147*z^27)/1289945088000 - 
           (4297317018404263282207*z^28)/334430208000 + 
           (499014613955466481613*z^29)/110592000 - 
           (61771086885198727251*z^30)/56000 + (10001540663183727084519*z^31)/
            56000 - (17221382489632821676569*z^32)/1000 + 
           (655899588546454577828394*z^33)/875)*Cf[z]^9 + 
         ((1172254740413*z^16)/21064287309004800 - (62261987958991*z^17)/
            292559545958400 + (389554677602359*z^18)/1083553873920 - 
           (8794204946866751*z^19)/25082265600 + (902011183399975903*z^20)/
            4180377600 - (828794793496833487*z^21)/9676800 + 
           (1494276528573879*z^22)/70 - (4257080777118479229*z^23)/1400 + 
           (32964688250793131598*z^24)/175)*Cf[z]^7*tS0[z] + 
         ((1051099*z^10)/44789760 - (29810039*z^11)/622080 - 
           (245626411*z^12)/17280 + (14255947561*z^13)/240 - 
           (160249752081*z^14)/5 + (25915094570016*z^15)/5)*Cf[z]^5*
          tS0[z]^2 + ((-376631*z^4)/108 + 2792570*z^5 - 503338320*z^6)*
          Cf[z]^3*tS0[z]^3)*tS1[z] + 
       (((13195483738489*z^18)/8088686326657843200 - (209847251518259*z^19)/
            28085716412006400 + (1011052267102697*z^20)/66870753361920 - 
           (109879789998409313*z^21)/6191736422400 + 
           (111302175742131527*z^22)/8360755200 - (18437215011972785321*z^23)/
            2786918400 + (561499771030021249*z^24)/258048 - 
           (5108538340134181809*z^25)/11200 + (154480826814951354849*z^26)/
            2800 - (511669148010020642619*z^27)/175)*Cf[z]^8 + 
         ((-85071362057*z^12)/2031663513600 + (2367996060221*z^13)/
            18811699200 - (55034729633621*z^14)/348364800 + 
           (511554717205333*z^15)/4838400 - (6404323424347999*z^16)/161280 + 
           (22166022310763217*z^17)/2800 - (228409811012589327*z^18)/350)*
          Cf[z]^6*tS0[z] + ((341207*z^6)/2160 - (32056003*z^7)/120 + 
           (1475094327*z^8)/10 - (132863682456*z^9)/5)*Cf[z]^4*tS0[z]^2 - 
         145536*Cf[z]^2*tS0[z]^3)*tS1[z]^2 + 
       (((-79804228267*z^14)/117023818383360 + (77775511742629*z^15)/
            32506616217600 - (3220506033165641*z^16)/902961561600 + 
           (72850471555853*z^17)/24883200 - (27648420028600859*z^18)/
            19353600 + (11130033953275033*z^19)/26880 - 
           (369211871512313253*z^20)/5600 + (1554782577753035079*z^21)/350)*
          Cf[z]^7 + ((27340619*z^8)/2239488 - (186337979*z^9)/7776 + 
           (349610749*z^10)/20 - 5609160789*z^11 + (3333243410172*z^12)/5)*
          Cf[z]^5*tS0[z] + (-28780*z^2 + 13542912*z^3)*Cf[z]^3*tS0[z]^2)*
        tS1[z]^3 + (((12389347*z^10)/107495424 - (1619598485*z^11)/5971968 + 
           (312738020051*z^12)/1244160 - (2638809690119*z^13)/23040 + 
           (1637839555005*z^14)/64 - (8943759888021*z^15)/4)*Cf[z]^6 + 
         ((-25225*z^4)/27 + (2425375*z^5)/3 - 169752600*z^6)*Cf[z]^4*tS0[z])*
        tS1[z]^4 + (((-54113*z^6)/25920 + (7233073*z^7)/5760 + 
           (115004893*z^8)/480 - (1687108401*z^9)/10)*Cf[z]^5 - 
         8400*Cf[z]^3*tS0[z])*tS1[z]^5 + ((-4975*z^2)/12 + 190740*z^3)*
        Cf[z]^4*tS1[z]^6) + S2[z]*(-21856886889596015171/60072226770124800 + 
       (112084810825804020271*z)/139056080486400 - (2007847606206385327*z^2)/
        3218890752 + ((-5099788523914573*z^28)/
          774721618761794835719179468800 + (428303982139838623*z^29)/
          20495280919624202003152896000 + (332938097585805493297*z^30)/
          9298784861681350908837888000 - (7543487332758474143051*z^31)/
          23481779953740785123328000 + (12069209782092388785860003*z^32)/
          14349976638397146464256000 - (4295490293449505238137711*z^33)/
          3321753851480820940800 + (6891647369542368785679703*z^34)/
          5126163351050649600 - (44469101851425987907382741*z^35)/
          44497945755648000 + (112089191029351143939851809*z^36)/
          206009008128000 - (289138214321690057916103*z^37)/1324646400 + 
         (70590872030718198856737683*z^38)/1103872000 - 
         (91961974268408266740242667*z^39)/6899200 + 
         (2309902994866001692690804869*z^40)/1232000 - 
         (6148728432913628405829406257*z^41)/38500 + 
         (1712630386903490969068139994*z^42)/275)*Cf[z]^10 + 
       (47994375988735/188116992 - (15957693295247*z)/62208 + 
         ((-1437092259341*z^22)/1310367184918570598400 + 
           (40077812395513*z^23)/4549886058745036800 - 
           (905428592895556259*z^24)/30332573724966912000 + 
           (2690195943980822957*z^25)/46809527353344000 - 
           (3829544818663070791*z^26)/54177693696000 + 
           (1061613083775444289871*z^27)/18059231232000 - 
           (1418471188792527663803*z^28)/41803776000 + 
           (188768405594933406967*z^29)/13824000 - 
           (422008459684932751269*z^30)/112000 + (9532519729578978620247*
             z^31)/14000 - (63606350668561664965227*z^32)/875 + 
           (3045274315389094791279888*z^33)/875)*Cf[z]^8)*tS0[z] + 
       (-688662869/36 + ((944098836091*z^16)/10532143654502400 - 
           (10453581876607*z^17)/24379962163200 + (49006909216511*z^18)/
            56435097600 - (6116533311030467*z^19)/6270566400 + 
           (46495677823468289*z^20)/69672960 - (460947701283697721*z^21)/
            1612800 + (1681441886744279397*z^22)/22400 - 
           (1939475854302936003*z^23)/175 + (123517359617738345514*z^24)/175)*
          Cf[z]^6)*tS0[z]^2 + ((-31087807*z^10)/16796160 + 
         (9398476381*z^11)/1866240 - (273339851551*z^12)/51840 + 
         (322418338787*z^13)/120 - (3354298567398*z^14)/5 + 
         (329548940165664*z^15)/5)*Cf[z]^4*tS0[z]^3 + 
       ((203021*z^4)/18 - 10106915*z^5 + 2286051768*z^6)*Cf[z]^2*tS0[z]^4 + 
       (14305936756561/622080 + ((15398833606483231*z^24)/
            597779026822372558425292800 - (38284323210430613*z^25)/
            329463749350954893312000 + (2571320379130205557*z^26)/
            12812479141426023628800 - (113129003497443234659*z^27)/
            889755495932362752000 - (4407191175315442333531*z^28)/
            49430860885131264000 + (891593318154671143513*z^29)/
            3575727783936000 - (42711061933923499074389*z^30)/
            176579149824000 + (86437600056127646455999*z^31)/613122048000 - 
           (154171992513687744163633*z^32)/2838528000 + 
           (9873537288473505462609*z^33)/704000 - (263092992748600550151627*
             z^34)/112000 + (8921527922166298974170037*z^35)/38500 - 
           (98679421612941277058489394*z^36)/9625)*Cf[z]^9 + 
         ((10773180023*z^18)/7899107740876800 - (63931974644131*z^19)/
            7021429103001600 + (13882509514751411*z^20)/585119091916800 - 
           (90487749258948577*z^21)/2708884684800 + (120029269368377543*z^22)/
            4180377600 - (15332458819602103*z^23)/967680 + 
           (228296383865962471*z^24)/40320 - (508352962882106133*z^25)/400 + 
           (28572754530659769306*z^26)/175 - (1606336632158225795568*z^27)/
            175)*Cf[z]^7*tS0[z] + ((-102171709673*z^12)/1015831756800 + 
           (263004780197*z^13)/783820800 - (809867222249*z^14)/1814400 + 
           (11602209337483*z^15)/37800 - (97370798526317*z^16)/840 + 
           (4007206198436076*z^17)/175 - (324438647464693728*z^18)/175)*
          Cf[z]^5*tS0[z]^2 + ((7769059*z^6)/6480 - (303018583*z^7)/180 + 
           (3908233919*z^8)/5 - (598426607664*z^9)/5)*Cf[z]^3*tS0[z]^3 - 
         1271088*Cf[z]*tS0[z]^4)*tS1[z] + 
       (((-33433790165939*z^20)/873578123279047065600 + 
           (7079103672848563*z^21)/40443431633289216000 - 
           (11445034282926583*z^22)/32097961613721600 + 
           (6677092192139234519*z^23)/15603175784448000 - 
           (925986208122716933*z^24)/2751882854400 + 
           (20273694324612848849*z^25)/111476736000 - 
           (159466509466692256457*z^26)/2322432000 + 
           (96384333594986874421*z^27)/5376000 - (694777196911801423221*z^28)/
            224000 + (1122337825457001869277*z^29)/3500 - 
           (13108650629551751188458*z^30)/875)*Cf[z]^8 + 
         ((-1518071*z^14)/17414258688 + (328389257993*z^15)/338610585600 - 
           (4983292604557*z^16)/2351462400 + (36268315722721*z^17)/17418240 - 
           (221651768157721*z^18)/201600 + (2170335857649889*z^19)/6720 - 
           (4952331986680053*z^20)/100 + (107401623258965832*z^21)/35)*
          Cf[z]^6*tS0[z] + ((4718123*z^8)/186624 - (100312247*z^9)/2160 + 
           (1248344139*z^10)/40 - (45383548581*z^11)/5 + (4806020722608*z^12)/
            5)*Cf[z]^4*tS0[z]^2 + (-76120*z^2 + 28294848*z^3)*Cf[z]^2*
          tS0[z]^3)*tS1[z]^2 + (((13848563187493*z^16)/505542895416115200 - 
           (63807777958213*z^17)/585119091916800 + (412459380849023*z^18)/
            2167107747840 - (28593992217886363*z^19)/150493593600 + 
           (141567205337734337*z^20)/1194393600 - (228652175153408441*z^21)/
            4838400 + (1052540135515780733*z^22)/89600 - 
           (4655038698418829031*z^23)/2800 + (1434211859299673655*z^24)/14)*
          Cf[z]^7 + ((-3594241*z^10)/8398080 + (2096222411*z^11)/1866240 - 
           (182601610139*z^12)/155520 + (146313541421*z^13)/240 - 
           (1569552428007*z^14)/10 + (80027543099736*z^15)/5)*Cf[z]^5*
          tS0[z] + ((99295*z^4)/54 - 2099480*z^5 + 571224096*z^6)*Cf[z]^3*
          tS0[z]^2)*tS1[z]^3 + (((-115543846319*z^12)/12189981081600 + 
           (2153125872323*z^13)/75246796800 - (148842873259309*z^14)/
            4180377600 + (1358225914765477*z^15)/58060800 - 
           (1104860414719213*z^16)/129024 + (18549886213007571*z^17)/11200 - 
           (185131496671002621*z^18)/1400)*Cf[z]^6 + 
         ((456823*z^6)/3240 - (9049613*z^7)/45 + (1420918168*z^8)/15 - 
           (73575363456*z^9)/5)*Cf[z]^4*tS0[z] - 113280*Cf[z]^2*tS0[z]^2)*
        tS1[z]^4 + (((11047499*z^8)/8957952 - (232376479*z^9)/103680 + 
           (271502903*z^10)/180 - (8898361171*z^11)/20 + (242349115374*z^12)/
            5)*Cf[z]^5 + (-3200*z^2 + 1134720*z^3)*Cf[z]^3*tS0[z])*tS1[z]^5 + 
       ((26725*z^4)/1296 - (309875*z^5)/12 + 7360470*z^6)*Cf[z]^4*tS1[z]^6 - 
       700*Cf[z]^3*tS1[z]^7)
 
Ff[7] = -620980975021910427513900557/704996673073233300504453316608000 + 
     (25538652208114807021353725057*z)/1631936743225077084501049344000 - 
     (4962124795952256834813968479*z^2)/96862342309180738633728000 + 
     (701741748339810554885387467717*z^3)/8744517014023261126656000 - 
     (265821493726246330943560091633*z^4)/4048387506492250521600 + 
     (9443632331908977412511816287*z^5)/347083976894054400 - 
     (80015854382630030383964785*z^6)/17708366168064 + 
     ((-85515600804515253145714583*z^36)/
        1257164230561448823148604513426562937887129600 + 
       (4801698838504128247848695011*z^37)/
        14550511927794546564219959646140774744064000 - 
       (8124750242106680903538343051*z^38)/
        11227246857866162472391944171404918784000 + 
       (24561543393891880454174363851*z^39)/
        25988997356171672389796167063437312000 - 
       (4901554799667653568486409801*z^40)/
        6015971610224924164304668301721600 + (11267987916611384973113756863*
         z^41)/23209767014756651868459368448000 - 
       (32788282756533680134622971043*z^42)/161178937602476749086523392000 + 
       (22331769799687370970206764067*z^43)/373099392598325808070656000 - 
       (93517573705426433613659333*z^44)/7676942234533452840960 + 
       (20121895647908386488462402847*z^45)/11995222241458520064000 - 
       (4232886054053429809120444573*z^46)/27766718151524352000 + 
       (171477065504465754117689119*z^47)/21424936845312000)*Cf[z]^12 + 
     ((-2070625*z^2)/24576 + (81360075*z^3)/1024)*Cf[z]^12*S2[z]^17 + 
     (19675*Cf[z]^12*S2[z]^18)/96 + 
     (23403012094923335844377393/11332894050174146420146176000 - 
       (316770404443571742335639983*z)/26233551042069783379968000 + 
       (1616396588125229175169628489*z^2)/60725812597383757824000 - 
       (14209652220168347046730517*z^3)/511160038698516480 + 
       (905053327230333277794011857*z^4)/65078245667635200 - 
       (11574031648641943600806013*z^5)/4304116776960 + 
       ((19054504458814336310717647*z^30)/
          701702928616635154524496510712807424000 - 
         (21648045899073911008770443*z^31)/
          77348206417177596398202878164992000 + (80362014134689568269725839*
           z^32)/62666370939842960044840294809600 - 
         (21762817928012416761063433*z^33)/6199189907787567272558592000 + 
         (1671307671045882907119169463*z^34)/258299579491148636356608000 - 
         (2657272697906349897543626783*z^35)/310916160498604840058880 + 
         (25147935307744312316358870283*z^36)/2998805560364630016000 - 
         (389831564501088939357839923369*z^37)/62475115840929792000 + 
         (2057421604971169639785106558751*z^38)/578473294823424000 - 
         (2082759212412480097757012837399*z^39)/1339058552832000 + 
         (482725697560924728164341481*z^40)/931392000 - 
         (8925409370577412084982560631*z^41)/68992000 + 
         (2887479037132502177801550321*z^42)/123200 - 
         (2242076261609888290307224989*z^43)/770 + 
         (2136614489882158715202821072364*z^44)/9625 - 
         (430856634180092828442611269248*z^45)/55)*Cf[z]^10)*tS0[z] + 
     (-146758792365597725611/233560817682245222400 + 
       (1499030565125171280023*z)/540650040931123200 - 
       (605776311723454117181*z^2)/139056080486400 + 
       (2790282310013921380961*z^3)/965667225600 - (30848897451407148305*z^4)/
        44706816 + ((-1846670819279698472617*z^24)/
          502134382530792949077245952000 + (32063894386293740814421*z^25)/
          1162348107710168863604736000 - (248519763999767446173227*z^26)/
          2690620619699464962048000 + (1141375168599889939798309*z^27)/
          6228288471526539264000 - (5203516206655656863068993*z^28)/
          21626001637244928000 + (8839698226384458323835227*z^29)/
          40048151180083200 - (134713771410231348960720163*z^30)/
          927040536576000 + (563160123099608875729907*z^31)/8128512000 - 
         (32204552757053392128082871*z^32)/1354752000 + 
         (8986094793235517826175201*z^33)/1568000 - 
         (3689645560193543435108199*z^34)/4000 + 
         (77940888885903133704372768*z^35)/875 - 
         (683557306547910051670818696*z^36)/175)*Cf[z]^8)*tS0[z]^2 + 
     (694486752907651/10448555212800 - (22833008151853*z)/99532800 + 
       (176816389729385*z^2)/746496 - (1977787821570337*z^3)/25920 + 
       ((176351927461537111*z^18)/1091972654098808832000 - 
         (105126534226442273*z^19)/120367356051456000 + 
         (400049962781404769*z^20)/195039697305600 - 
         (18626665872329481473*z^21)/6772211712000 + 
         (12149684016677714107*z^22)/5225472000 - 
         (373708252853214914183*z^23)/290304000 + 
         (33936382799549041405373*z^24)/72576000 - 
         (6026937550063378784477*z^25)/56000 + (49919881751498462189679*z^26)/
          3500 - (726472951903922367657132*z^27)/875)*Cf[z]^6)*tS0[z]^3 + 
     (-201277219/11520 + (23115107917*z)/640 - (33756082371*z^2)/2 + 
       ((-932400157*z^12)/398131200 + (540806487823*z^13)/66355200 - 
         (2657358539249*z^14)/230400 + (27193598568647*z^15)/3200 - 
         (17230194748911*z^16)/5 + (18278763416173728*z^17)/25 - 
         (1589186192168657664*z^18)/25)*Cf[z]^4)*tS0[z]^4 + 
     ((2107231*z^6)/80 - (920978793*z^7)/20 + (125290840311*z^8)/5 - 
       (21785989445136*z^9)/5)*Cf[z]^2*tS0[z]^5 - 82936224*tS0[z]^6 + 
     (-11323494162927160065065351/78700653126209350139904000 + 
       (49492282401882169232421707*z)/182177437792151273472000 - 
       (290649752623490042019961*z^2)/5622760425683681280 - 
       (355389905385208946033221*z^3)/3549722490961920 + 
       (82889160917877404574149*z^4)/1291235033088 + 
       ((49005746626026179603*z^32)/121823425107054714327169533109862400 - 
         (344347978260238586635184377*z^33)/
          58475244051386262877041375892733952000 + 
         (194186356721753039304063451*z^34)/
          5639973384585866404035626532864000 - (11964396455478777670334381681*
           z^35)/104443951566404933408067158016000 + 
         (916175356589941634007889267*z^36)/3663157672783562479239168000 - 
         (30864098112868401173631427697*z^37)/79949869842498387443712000 + 
         (3420091697087455784863679312831*z^38)/7772904012465121001472000 - 
         (197333604052732172174535190933*z^39)/519024039293878272000 + 
         (1914896383970814225477951226907*z^40)/7572741314052096000 - 
         (6282209436577625540201669369741*z^41)/48206107901952000 + 
         (2763480666190248466865797883*z^42)/53137244160 - 
         (4115979957254208201761870763569*z^43)/258306048000 + 
         (13205335333530878228345350539201*z^44)/3587584000 - 
         (13914231437262132643528682472681*z^45)/22422400 + 
         (91842769853774137232769906332397*z^46)/1274000 - 
         (4520394485800809209572627222323408*z^47)/875875 + 
         (171848162997105907454852681484360*z^48)/1001)*Cf[z]^11 + 
       (1575904422284714077/60072226770124800 - (83628886391225262517*z)/
          2503009448755200 - (4804877740662047*z^2)/5364817920 + 
         (2026991246677685507*z^3)/178827264 + 
         ((-120254666477783921*z^26)/774898738473445909069824000 + 
           (2100845673975424996727*z^27)/1549797476946891818139648000 - 
           (112539162472301032297171*z^28)/21524964957595719696384000 + 
           (5335515165974281681400723*z^29)/448436769949910827008000 - 
           (3103022761347343403766623*z^30)/173008013097959424000 + 
           (547810726250820757537263989*z^31)/28834668849659904000 - 
           (779479735929263698710453571*z^32)/53397534906777600 + 
           (3062959005991865269311948263*z^33)/370816214630400 - 
           (1644952207595223354421446089*z^34)/476872704000 + 
           (139337026147265341598248501*z^35)/132464640 - 
           (15730487545385421851373182949*z^36)/68992000 + 
           (143630461632605454174232085769*z^37)/4312000 - 
           (22659774493071299208747952419*z^38)/7700 + 
           (1601631758626663282462574681364*z^39)/13475)*Cf[z]^9)*tS0[z] + 
       (650033927725/13436928 - (74651291704675*z)/746496 + 
         (20188296737875*z^2)/432 + ((12617332307129*z^20)/
            1137471514686259200 - (88393524131973647*z^21)/
            1263857238540288000 + (27697325884342957*z^22)/144473849856000 - 
           (32750593294441883149*z^23)/108355387392000 + 
           (5503533706942930526687*z^24)/18059231232000 - 
           (5167692564577878299473*z^25)/25082265600 + 
           (18358616645227194357377*z^26)/193536000 - 
           (118703996119218425762327*z^27)/4032000 + 
           (165385716549061008570867*z^28)/28000 - 
           (173235433014936432310761*z^29)/250 + (6326214744299755067243424*
             z^30)/175)*Cf[z]^7)*tS0[z]^2 + 
       (123981033373/38880 - (26823014948*z)/9 + 
         ((-92662166713*z^14)/304749527040 + (83818730615941*z^15)/
            67722117120 - (1641295166731457*z^16)/783820800 + 
           (41738888950132109*z^17)/21772800 - (51900621943675583*z^18)/
            50400 + (91187849609240021*z^19)/280 - (9852471851741484804*z^20)/
            175 + (719825419945151900064*z^21)/175)*Cf[z]^5)*tS0[z]^3 + 
       (641787300 + ((910101*z^8)/256 - (1328174907*z^9)/160 + 
           (271986981129*z^10)/40 - (11869197785271*z^11)/5 + 
           (1509495969183408*z^12)/5)*Cf[z]^3)*tS0[z]^4 + 
       (-14810040*z^2 + 6611201856*z^3)*Cf[z]*tS0[z]^5)*tS1[z] + 
     (-53357040501004838363/3754514173132800 + (72965185659738503407*z)/
        2483144294400 - (959731800680169571*z^2)/57480192 + 
       ((-94825579129328567*z^28)/451920944277713654169521356800 + 
         (1071621044186112811469*z^29)/251067191265396474538622976000 - 
         (56229738795181466105257*z^30)/2324696215420337727209472000 + 
         (763165355632333662987959*z^31)/10762482478797859848192000 - 
         (38947484656163030559551167*z^32)/298957846633273884672000 + 
         (12160210590167887019265649*z^33)/74146291327696896000 - 
         (1426311154508057876299928507*z^34)/9611556283219968000 + 
         (26442688687644171460234540573*z^35)/266987674533888000 - 
         (112891587356902958431595833*z^36)/2288988979200 + 
         (8736119296850559330565852469*z^37)/476872704000 - 
         (2075323778973233445141062059*z^38)/413952000 + 
         (9685714326414460764071891013*z^39)/9856000 - 
         (281776794171341233611848800653*z^40)/2156000 + 
         (2849416660626630724313282639097*z^41)/269500 - 
         (5296664926183579647450715665216*z^42)/13475)*Cf[z]^10 + 
       (-514207076021645/125411328 + (157800888283153*z)/41472 + 
         ((69675769723957*z^22)/485321179599470592000 - 
           (127956419954801783*z^23)/121330294899867648000 + 
           (67468325922579454541*z^24)/20221715816644608000 - 
           (26666140787474144861*z^25)/4388393189376000 + 
           (6187226078332141954229*z^26)/866843099136000 - 
           (68758196922015346136891*z^27)/12039487488000 + 
           (23708178900949601343799*z^28)/7431782400 - 
           (414120041595492571125959*z^29)/331776000 + 
           (903554695203788008297153*z^30)/2688000 - 
           (3330182960661798011639871*z^31)/56000 + 
           (6230973846573784980388377*z^32)/1000 - 
           (256702804852706302066028874*z^33)/875)*Cf[z]^8)*tS0[z] + 
       (-10661940625/12 + ((-29707896785633*z^16)/3510714551500800 + 
           (981372522283603*z^17)/24379962163200 - (18146380382877251*z^18)/
            225740390400 + (61898270763751703*z^19)/696729600 - 
           (93027301664016277*z^20)/1555200 + (122134425024552941027*z^21)/
            4838400 - (146556429876989667607*z^22)/22400 + 
           (334183322849073713361*z^23)/350 - (2106680010540086808846*z^24)/
            35)*Cf[z]^6)*tS0[z]^2 + ((899051593*z^10)/5598720 - 
         (136519019567*z^11)/311040 + (3978769074073*z^12)/8640 - 
         (5633258530825*z^13)/24 + 58546843575327*z^14 - 
         (28721276683667568*z^15)/5)*Cf[z]^4*tS0[z]^3 + 
       ((-1915785*z^4)/2 + 853634700*z^5 - 189251432640*z^6)*Cf[z]^2*
        tS0[z]^4)*tS1[z]^2 + (53789199857747/311040 + 
       ((-17809787513634223*z^24)/65382081058696998577766400 + 
         (1154260995261451591*z^25)/2421558557729518465843200 + 
         (5426914347813056771*z^26)/2491315388610615705600 - 
         (7588386610548542786893*z^27)/778536058940817408000 + 
         (388142404786561203622273*z^28)/21626001637244928000 - 
         (993649478814308701698913*z^29)/50060188975104000 + 
         (40705162772281759856843869*z^30)/2781121609728000 - 
         (72321695766572029081469813*z^31)/9656672256000 + 
         (159977202782374587775392617*z^32)/59609088000 - 
         (549191186990924997403873*z^33)/827904 + 
         (8470518650991151345875357*z^34)/78400 - 
         (1409269670966151524407632453*z^35)/134750 + 
         (30760294802225168946886288758*z^36)/67375)*Cf[z]^9 + 
       ((-13428436133017*z^18)/280857164120064000 + (10175501331904429*z^19)/
          35107145515008000 - (83792790400573787*z^20)/117023818383360 + 
         (2197923869028364781*z^21)/2257403904000 - 
         (17057553968229565333*z^22)/20901888000 + 
         (1538383841286023219891*z^23)/3483648000 - 
         (15028415296649788869259*z^24)/96768000 + 
         (7703067776820836173713*z^25)/224000 - 
         (61115476053801794506731*z^26)/14000 + 
         (30335347209962725427961*z^27)/125)*Cf[z]^7*tS0[z] + 
       ((604419451681*z^12)/253957939200 - (18337280594753*z^13)/2351462400 + 
         (147464436181091*z^14)/14515200 - (1377365253521333*z^15)/201600 + 
         (50847455778330473*z^16)/20160 - (170497836706355121*z^17)/350 + 
         (6753252353146816644*z^18)/175)*Cf[z]^5*tS0[z]^2 + 
       ((-9337651*z^6)/405 + (1314789823*z^7)/45 - (61206265876*z^8)/5 + 
         (8468659601856*z^9)/5)*Cf[z]^3*tS0[z]^3 - 17962560*Cf[z]*tS0[z]^4)*
      tS1[z]^3 + (((92521577483407*z^20)/218394530819761766400 - 
         (61148567534034473*z^21)/30332573724966912000 + 
         (404444930508450589*z^22)/93619054706688000 - 
         (21516345815953324487*z^23)/3900793946112000 + 
         (168345748411987899281*z^24)/36118462464000 - 
         (684182092018421224409*z^25)/250822656000 + 
         (7802613678851655240679*z^26)/6967296000 - 
         (12316090837099620287957*z^27)/38707200 + 
         (5355697670624966080047*z^28)/89600 - (187324437299832904803129*
           z^29)/28000 + (591605680382976622911741*z^30)/1750)*Cf[z]^8 + 
       ((-113175131*z^14)/18059231232 + (1565988516499*z^15)/75246796800 - 
         (1233878294888801*z^16)/37623398400 + (7955714759687507*z^17)/
          261273600 - (55895599846247179*z^18)/3225600 + 
         (19855406549731813*z^19)/3360 - (154829539035907569*z^20)/140 + 
         (15268906626821664966*z^21)/175)*Cf[z]^6*tS0[z] + 
       ((1274689*z^8)/46656 - (1187399753*z^9)/6480 + (6355806571*z^10)/30 - 
         (446324712588*z^11)/5 + (64197722261808*z^12)/5)*Cf[z]^4*tS0[z]^2 + 
       (-2114800*z^2 + 936910080*z^3)*Cf[z]^2*tS0[z]^3)*tS1[z]^4 + 
     (((-85781190799*z^16)/376147987660800 + (40159984166969*z^17)/
          41794220851200 - (317785977980941*z^18)/180592312320 + 
         (572498799830651*z^19)/313528320 - (408790051693747907*z^20)/
          348364800 + (1156811204525548433*z^21)/2419200 - 
         (772401445180384841*z^22)/6400 + (6039390060680047047*z^23)/350 - 
         (187335414529442796753*z^24)/175)*Cf[z]^7 + 
       ((7300783*z^10)/995328 - (4898880473*z^11)/248832 + 
         (2117917602617*z^12)/103680 - (14886828685157*z^13)/1440 + 
         (51332109193323*z^14)/20 - (1255070557065132*z^15)/5)*Cf[z]^5*
        tS0[z] + ((-739750*z^4)/9 + 72624200*z^5 - 15968318400*z^6)*Cf[z]^3*
        tS0[z]^2)*tS1[z]^5 + 
     (((20098399901*z^12)/380936908800 - (9182800442953*z^13)/56435097600 + 
         (3943785636617*z^14)/19353600 - (968336663301407*z^15)/7257600 + 
         (1949757427681729*z^16)/40320 - (6455872820393763*z^17)/700 + 
         (126788961973899546*z^18)/175)*Cf[z]^6 + 
       ((-160091*z^6)/144 + (51772453*z^7)/36 - (1848573902*z^8)/3 + 
         87433300224*z^9)*Cf[z]^4*tS0[z] - 696000*Cf[z]^2*tS0[z]^2)*
      tS1[z]^6 + (((-186265*z^8)/69984 + (58790519*z^9)/15552 - 
         (89487547*z^10)/48 + 353018947*z^11 - 16702926192*z^12)*Cf[z]^5 + 
       (-40500*z^2 + 17798400*z^3)*Cf[z]^3*tS0[z])*tS1[z]^7 + 
     ((-113375*z^4)/216 + (1379000*z^5)/3 - 100202400*z^6)*Cf[z]^4*tS1[z]^8 - 
     (8000*Cf[z]^3*tS1[z]^9)/3 + S2[z]^16*
      (((417614075*z^4)/31850496 - (63953825*z^5)/2304 + 
         (7167488865*z^6)/512)*Cf[z]^12 + (5585525*Cf[z]^11*tS1[z])/3072) + 
     S2[z]^15*(((-221320025*z^6)/382205952 + (5502823165*z^7)/1769472 - 
         (48271459985*z^8)/12288 + (375281305245*z^9)/256)*Cf[z]^12 - 
       (1175075*Cf[z]^10*tS0[z])/1536 + ((-28808675*z^2)/36864 + 
         (345827115*z^3)/512)*Cf[z]^11*tS1[z]) + 
     S2[z]^14*(((-816814565*z^8)/7739670528 + (49893722467*z^9)/573308928 + 
         (186366766811*z^10)/884736 - (902395546823*z^11)/3072 + 
         (12726636677253*z^12)/128)*Cf[z]^12 + 
       ((449275*z^2)/1536 - (33260895*z^3)/128)*Cf[z]^10*tS0[z] + 
       ((1692241115*z^4)/11943936 - (14119436675*z^5)/55296 + 
         (29353367225*z^6)/256)*Cf[z]^11*tS1[z] + (6217765*Cf[z]^10*tS1[z]^2)/
        1152) + S2[z]^13*(((12993048053*z^10)/660451885056 - 
         (4815689866397*z^11)/82556485632 + (2711586153431*z^12)/47775744 - 
         (1862632106927*z^13)/147456 - (1263627036389*z^14)/128 + 
         (280436173107543*z^15)/64)*Cf[z]^12 + 
       ((-154063985*z^4)/3981312 + (737265025*z^5)/9216 - 
         (4962117705*z^6)/128)*Cf[z]^10*tS0[z] + 
       (((-397649167*z^6)/31850496 + (151591833883*z^7)/3981312 - 
           (42517608241*z^8)/1152 + (1494992341941*z^9)/128)*Cf[z]^11 - 
         (1742045*Cf[z]^9*tS0[z])/384)*tS1[z] + 
       ((-14362375*z^2)/6144 + (1446105655*z^3)/768)*Cf[z]^10*tS1[z]^2) + 
     S2[z]^12*(((-29960072230265*z^12)/23110532361879552 + 
         (106802333027689*z^13)/17832200896512 - (216217757030651*z^14)/
          20639121408 + (4970666668977455*z^15)/573308928 - 
         (1414099038562571*z^16)/442368 + (210484319961053*z^17)/1024 + 
         (7129833922166175*z^18)/64)*Cf[z]^12 + 
       ((-70493077*z^6)/143327232 - (9639065273*z^7)/1990656 + 
         (4641451469*z^8)/576 - (25420192521*z^9)/8)*Cf[z]^10*tS0[z] + 
       (1996765*Cf[z]^8*tS0[z]^2)/384 + 
       (((109035213805*z^8)/743008370688 - (1703030652185*z^9)/859963392 + 
           (5350822118681*z^10)/1327104 - (55503103760801*z^11)/18432 + 
           (100260339933273*z^12)/128)*Cf[z]^11 + 
         ((31233725*z^2)/13824 - (317035115*z^3)/192)*Cf[z]^9*tS0[z])*
        tS1[z] + ((33199523695*z^4)/71663616 - (122860832855*z^5)/165888 + 
         (116123492083*z^6)/384)*Cf[z]^10*tS1[z]^2 + 
       (133144165*Cf[z]^9*tS1[z]^3)/20736) + 
     S2[z]^11*(((-131236735739*z^14)/11555266180939776 - 
         (5219244913247*z^15)/46809527353344 + (2321385496761101*z^16)/
          4623163195392 - (127886421390663769*z^17)/160526499840 + 
         (38537089203776923*z^18)/61931520 - (17436845431275887*z^19)/71680 + 
         (671327646865577829*z^20)/17920 + (591246847005452451*z^21)/1120)*
        Cf[z]^12 + ((80481334805*z^8)/92876046336 - (685553077999*z^9)/
          429981696 + (240774839581*z^10)/331776 + (763755966793*z^11)/4608 - 
         (2159996889615*z^12)/16)*Cf[z]^10*tS0[z] + 
       ((-13283425*z^2)/6912 + (148927405*z^3)/96)*Cf[z]^8*tS0[z]^2 + 
       (((38050545253*z^10)/371504185344 - (133981747421*z^11)/644972544 + 
           (5207655648329*z^12)/95551488 + (17357381502259*z^13)/110592 - 
           (71607686386991*z^14)/512 + (1125880690680459*z^15)/32)*Cf[z]^11 + 
         ((-2249838145*z^4)/4478976 + (30427824185*z^5)/41472 - 
           (26129289301*z^6)/96)*Cf[z]^9*tS0[z])*tS1[z] + 
       (((-1978720817*z^6)/35831808 + (32799109691*z^7)/248832 - 
           (1970696193107*z^8)/18432 + (3785524832709*z^9)/128)*Cf[z]^10 - 
         (2543815*Cf[z]^8*tS0[z])/864)*tS1[z]^2 + 
       ((-26602025*z^2)/10368 + (47905985*z^3)/24)*Cf[z]^9*tS1[z]^3) + 
     S2[z]^10*(((8117275663894483*z^16)/838634998347885182976 - 
         (70294718015484989*z^17)/1941284718397882368 + 
         (2303256925238465881*z^18)/44937146259210240 - 
         (5777887439485989679*z^19)/208042343792640 - 
         (3318333405686133271*z^20)/481579499520 + (9387923829285196789*z^21)/
          557383680 - (5471023535926424293*z^22)/645120 + 
         (29678918181829030059*z^23)/17920 - (71131527158696824779*z^24)/
          1120)*Cf[z]^12 + ((-568229467703*z^10)/4458050224128 + 
         (23383967705797*z^11)/61917364224 - (607165086004549*z^12)/
          1433272320 + (78556789709591*z^13)/368640 - (307642700633731*z^14)/
          7680 - (63291226976433*z^15)/160)*Cf[z]^10*tS0[z] + 
       ((2207532905*z^4)/8957952 - (4650591905*z^5)/10368 + 
         (18867526447*z^6)/96)*Cf[z]^8*tS0[z]^2 + 
       (((-143067810477973*z^12)/10110857908322304 + (3038549202875875*z^13)/
            62412703137792 - (47080927698566471*z^14)/722369249280 + 
           (80098562465839811*z^15)/2006581248 - (61722959614175761*z^16)/
            7741440 - (41734454115046001*z^17)/17920 + 
           (1100144295804143061*z^18)/1120)*Cf[z]^11 + 
         ((12789636367*z^6)/214990848 - (202478371891*z^7)/1492992 + 
           (2849201724157*z^8)/27648 - (1683738683921*z^9)/64)*Cf[z]^9*
          tS0[z] + (10779785*Cf[z]^7*tS0[z]^2)/864)*tS1[z] + 
       (((788670350455*z^8)/185752092672 - (11763909863183*z^9)/859963392 + 
           (22190788319059*z^10)/1327104 - (170299105907495*z^11)/18432 + 
           (250621243055799*z^12)/128)*Cf[z]^10 + 
         ((73924825*z^2)/41472 - (652619705*z^3)/576)*Cf[z]^8*tS0[z])*
        tS1[z]^2 + ((1590173645*z^4)/3359232 - (179556910535*z^5)/248832 + 
         (20361370367*z^6)/72)*Cf[z]^9*tS1[z]^3 + (29181145*Cf[z]^8*tS1[z]^4)/
        10368) + S2[z]^9*(((-17401924748200819*z^18)/
          20127239960349244391424 + (6079970301681658873*z^19)/
          1397724997246475304960 - (20374814202205803301*z^20)/
          2156983020442091520 + (24488089055061359707*z^21)/
          2139864107581440 - (287423376915792906013*z^22)/34673723965440 + 
         (22324472288100616561*z^23)/6370099200 - (26738573066941955125*z^24)/
          37158912 - (156377610332936581*z^25)/430080 + 
         (1027829362398116702373*z^26)/44800 - (4459182719113498734531*z^27)/
          2800)*Cf[z]^12 + ((99881004428363*z^12)/13481143877763072 - 
         (979001298273647*z^13)/31206351568896 + (3816015893582341*z^14)/
          72236924928 - (4197678911586761*z^15)/92897280 + 
         (7880458972990283*z^16)/387072 - (1950455419203617*z^17)/448 + 
         (10009538630068041*z^18)/35)*Cf[z]^10*tS0[z] + 
       ((330336175*z^6)/53747712 + (25693471895*z^7)/1492992 - 
         (49437154975*z^8)/1536 + (394734644351*z^9)/32)*Cf[z]^8*tS0[z]^2 - 
       (44992345*Cf[z]^6*tS0[z]^3)/1296 + 
       (((466732806617759*z^14)/485321179599470592 - 
           (289810235052883357*z^15)/67405719388815360 + 
           (984062315153987*z^16)/122305904640 - (47955238930994867*z^17)/
            5945425920 + (7606192976408139451*z^18)/1672151040 - 
           (82324677822453509*z^19)/61440 + (2489572917352506597*z^20)/
            17920 + (2291576558107595841*z^21)/224)*Cf[z]^11 + 
         ((-134134292305*z^8)/61917364224 + (2054828830627*z^9)/214990848 - 
           (2192115758503*z^10)/165888 + (1933210506215*z^11)/256 - 
           (12561188832183*z^12)/8)*Cf[z]^9*tS0[z] + 
         ((-50929475*z^2)/5184 + (403188805*z^3)/72)*Cf[z]^7*tS0[z]^2)*
        tS1[z] + (((-760130963629*z^10)/4458050224128 + (12175174670603*z^11)/
            15479341056 - (1323801389493107*z^12)/955514880 + 
           (98299061278511*z^13)/81920 - (1597932251363057*z^14)/3072 + 
           (5854608751962735*z^15)/64)*Cf[z]^10 + 
         ((-4163658715*z^4)/5971968 + (32781471715*z^5)/41472 - 
           (22372538629*z^6)/96)*Cf[z]^8*tS0[z])*tS1[z]^2 + 
       (((-35913525919*z^6)/644972544 + (2196205070383*z^7)/17915904 - 
           (5139784088489*z^8)/55296 + (9341035708619*z^9)/384)*Cf[z]^9 - 
         (1462105*Cf[z]^7*tS0[z])/1728)*tS1[z]^3 + 
       ((-289111525*z^2)/248832 + (2844092645*z^3)/3456)*Cf[z]^8*tS1[z]^4) + 
     S2[z]^8*(((46864591045675931*z^20)/1610179196827939551313920 - 
         (1055034953665334401*z^21)/5590899988985901219840 + 
         (6924925158527093141*z^22)/12941898122652549120 - 
         (20919296856967495745*z^23)/23966478004912128 + 
         (626448416292423125243*z^24)/693474479308800 - 
         (1972658928489991141373*z^25)/3210529996800 + 
         (203424534883994736671*z^26)/743178240 - (62670656819189567093*z^27)/
          819200 + (2163879658293117021477*z^28)/179200 - 
         (19161009527698716760863*z^29)/22400 + (7819730144801388884493*z^30)/
          350)*Cf[z]^12 + ((2843857553827*z^14)/8987429251842048 - 
         (73540653342509*z^15)/138694895861760 - (4750008159049861*z^16)/
          11557907988480 + (27095762502335845*z^17)/16052649984 - 
         (17549814871469021*z^18)/10321920 + (24928777621622767*z^19)/30720 - 
         (1653563033007396831*z^20)/8960 + (1185878666176893117*z^21)/80)*
        Cf[z]^10*tS0[z] + ((-198221405795*z^8)/30958682112 + 
         (144071516179*z^9)/11943936 - (1204774544443*z^10)/165888 + 
         (409427206003*z^11)/384 + (854283349485*z^12)/4)*Cf[z]^8*tS0[z]^2 + 
       ((10777675*z^2)/864 - (26875715*z^3)/3)*Cf[z]^6*tS0[z]^3 + 
       (((-2961169661640311*z^16)/155302777471830589440 + 
           (5285225575689817*z^17)/38517553936465920 - 
           (946484671432066261*z^18)/2496508125511680 + 
           (6410213709272115349*z^19)/11557907988480 - 
           (9142991045460410819*z^20)/19110297600 + 
           (4283320206126660271*z^21)/17203200 - (381740637338559363*z^22)/
            5120 + (69214085280806313771*z^23)/6400 - 
           (1048923432643027429521*z^24)/2800)*Cf[z]^11 + 
         ((-21930891077*z^10)/41278242816 + (1793544225919*z^11)/1719926784 - 
           (1603268691223*z^12)/2949120 - (10299665417479*z^13)/69120 + 
           (54396053445259*z^14)/256 - (252856300722381*z^15)/5)*Cf[z]^9*
          tS0[z] + ((4508724655*z^4)/1492992 - (4072424435*z^5)/1152 + 
           (8272389283*z^6)/8)*Cf[z]^7*tS0[z]^2)*tS1[z] + 
       (((-65672756620073*z^12)/7489524376535040 + (47359372263559*z^13)/
            4334215495680 + (539576579904811*z^14)/26754416640 - 
           (58852707571781323*z^15)/1114767360 + (29499195634633243*z^16)/
            645120 - (330332833011216831*z^17)/17920 + 
           (1661015122550372439*z^18)/560)*Cf[z]^10 + 
         ((746619253*z^6)/3981312 - (102019271903*z^7)/331776 + 
           (522785255945*z^8)/3072 - (2053451968425*z^9)/64)*Cf[z]^8*tS0[z] - 
         (13108715*Cf[z]^6*tS0[z]^2)/288)*tS1[z]^2 + 
       (((113760802835*z^8)/20639121408 - (1053767981557*z^9)/71663616 + 
           (10231352288315*z^10)/663552 - (7720225772349*z^11)/1024 + 
           (464776053796809*z^12)/320)*Cf[z]^9 + 
         ((-2904725*z^2)/1152 + (3846325*z^3)/4)*Cf[z]^7*tS0[z])*tS1[z]^3 + 
       ((796172525*z^4)/3981312 - (3956582705*z^5)/13824 + 
         (6643122301*z^6)/64)*Cf[z]^8*tS1[z]^4 - (336665*Cf[z]^7*tS1[z]^5)/
        384) + S2[z]^7*(((27955838586955049*z^22)/
          19322150361935274615767040 - (249334890239634841*z^23)/
          38337599924474751221760 + (902617026225749839*z^24)/
          79869999842655731712 - (39276347590687185637*z^25)/
          5392457551105228800 - (237192263644468186153*z^26)/
          49930162510233600 + (3081381053223567952021*z^27)/231158159769600 - 
         (3280225853320642843847*z^28)/267544166400 + 
         (1590716641385787267053*z^29)/247726080 - 
         (2936751711208811046359*z^30)/1433600 + 
         (68792587618447311642963*z^31)/179200 - 
         (209739395267652511043829*z^32)/5600 + 
         (1073139837388570896514713*z^33)/700)*Cf[z]^12 + 
       ((-22667444290106663*z^16)/232954166207745884160 + 
         (4337781136512007*z^17)/11234286564802560 - (67670739258850453*z^18)/
          104021171896320 + (513646412608889*z^19)/859963392 - 
         (1321157418808453007*z^20)/4180377600 + (3527454078963329981*z^21)/
          38707200 - (464272746834660257*z^22)/44800 - 
         (1046415923481836781*z^23)/1400 + (128286411632889215841*z^24)/700)*
        Cf[z]^10*tS0[z] + ((85116060383*z^10)/92876046336 - 
         (3252252949183*z^11)/1289945088 + (16195522510559*z^12)/5971968 - 
         (38580914973337*z^13)/27648 + (104624401598299*z^14)/320 - 
         (237527536404213*z^15)/10)*Cf[z]^8*tS0[z]^2 + 
       ((-94636615*z^4)/62208 + (2062767085*z^5)/864 - (3696742747*z^6)/4)*
        Cf[z]^6*tS0[z]^3 + 
       (((-6496323491884637*z^18)/1863633329661967073280 + 
           (362189899078826837*z^19)/25883796245305098240 - 
           (6092413937892139513*z^20)/269622877555261440 + 
           (106219552612195684147*z^21)/6241270313779200 - 
           (4577997464321189431*z^22)/1605264998400 - 
           (176242359087207050143*z^23)/33443020800 + 
           (178089150130886692151*z^24)/38707200 - 
           (12091482222941351793*z^25)/7168 + (3224489085707508880047*z^26)/
            11200 - (393672731630568179634*z^27)/25)*Cf[z]^11 + 
         ((617352108305341*z^12)/5617143282401280 - (40695363677489*z^13)/
            120394874880 + (25394056852765487*z^14)/60197437440 - 
           (9329021106973669*z^15)/34836480 + (7013671757948747*z^16)/80640 - 
           (6606744313703487*z^17)/560 + (2510157656430027*z^18)/28)*Cf[z]^9*
          tS0[z] + ((-2144154937*z^6)/4478976 + (26845994491*z^7)/31104 - 
           (149519978033*z^8)/288 + 104117759205*z^9)*Cf[z]^7*tS0[z]^2 + 
         (127360*Cf[z]^5*tS0[z]^3)/3)*tS1[z] + 
       (((6731740501487*z^14)/2567836929097728 - (1266010474121371*z^15)/
            138694895861760 + (16145815168266049*z^16)/1238347284480 - 
           (379869697026977299*z^17)/40131624960 + (72353227063782377*z^18)/
            22118400 - (90251974708128273*z^19)/716800 - 
           (5662023261911605053*z^20)/22400 + (157290220305020867571*z^21)/
            2800)*Cf[z]^10 + ((-344125575985*z^8)/10319560704 + 
           (72451748491*z^9)/995328 - (2480927120197*z^10)/41472 + 
           (1055494760069*z^11)/48 - (122627740464171*z^12)/40)*Cf[z]^8*
          tS0[z] + ((22268075*z^2)/864 - (181589695*z^3)/12)*Cf[z]^6*
          tS0[z]^2)*tS1[z]^2 + (((-153404886559*z^10)/247669456896 + 
           (6179897488631*z^11)/3439853568 - (155692487869457*z^12)/
            71663616 + (254847958977923*z^13)/184320 - (598132508965829*z^14)/
            1280 + (676285252921683*z^15)/10)*Cf[z]^9 + 
         ((2391051875*z^4)/1492992 - (454873915*z^5)/288 + 
           (6003679321*z^6)/16)*Cf[z]^7*tS0[z])*tS1[z]^3 + 
       (((-356266609*z^6)/47775744 + (17364660679*z^7)/663552 - 
           (81672944665*z^8)/3456 + (208905631579*z^9)/32)*Cf[z]^8 - 
         (1715125*Cf[z]^6*tS0[z])/576)*tS1[z]^4 + 
       ((1961485*z^2)/4608 - (16763253*z^3)/64)*Cf[z]^7*tS1[z]^5) + 
     S2[z]^6*(((-2891285055387188867*z^24)/12520753434534057951017041920 + 
         (20348671473625151137*z^25)/14491612771451455961825280 - 
         (7414389346977889831*z^26)/1916879996223737561088 + 
         (49387383143026629228527*z^27)/7765138873591529472000 - 
         (248730210872420052014651*z^28)/35949717007368192000 + 
         (1300434657282652865821343*z^29)/249650812551168000 - 
         (227388898693819269061403*z^30)/82556485632000 + 
         (45231494464154665019851*z^31)/44590694400 - 
         (389699706129014164591727*z^32)/1548288000 + 
         (281451903665732746156939*z^33)/7168000 - 
         (43078471522480540289601*z^34)/12800 + 
         (1649301383431830116756637*z^35)/14000 + 
         (1544474982247294601092383*z^36)/1750)*Cf[z]^12 + 
       ((11083689478445303*z^18)/1397724997246475304960 - 
         (73219254842560429*z^19)/1941284718397882368 + 
         (1019989324844872499*z^20)/12839184645488640 - 
         (25190035046392330553*z^21)/260052929740800 + 
         (60145903304042381333*z^22)/802632499200 - 
         (3767458649952949073*z^23)/99532800 + (79627976892412023247*z^24)/
          6451200 - (220658813525130558747*z^25)/89600 + 
         (744531373841401419633*z^26)/2800 - (4051308787006212938529*z^27)/
          350)*Cf[z]^10*tS0[z] + ((-4620453999497*z^12)/100306130042880 + 
         (158840203218151*z^13)/928760463360 - (1124754782494159*z^14)/
          4299816960 + (782344061770109*z^15)/3732480 - 
         (352838840417861*z^16)/3840 + (102470175829048*z^17)/5 - 
         1734067124576442*z^18)*Cf[z]^8*tS0[z]^2 + 
       ((-29955623*z^6)/373248 + (233934287*z^7)/20736 + 
         (135678425083*z^8)/1728 - (140526188575*z^9)/4)*Cf[z]^6*tS0[z]^3 + 
       260265*Cf[z]^4*tS0[z]^4 + 
       (((88841849302885423*z^20)/201272399603492443914240 - 
           (633414564817628099*z^21)/279544999449295060992 + 
           (33481770589368233359*z^22)/6470949061326274560 - 
           (1547126699170429948583*z^23)/224685731296051200 + 
           (1743743016360090475577*z^24)/297203348275200 - 
           (176665056410138613097*z^25)/53508833280 + 
           (13538589804437811708457*z^26)/11147673600 - 
           (507677014960451541563*z^27)/1843200 + (5893029474789228854409*
             z^28)/179200 - (1610677172382652709523*z^29)/1400 - 
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     S2[z]^4*(((-12726411789260251721*z^28)/
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         (90808453406169*z^14)/40 + (1082270445661458*z^15)/5)*Cf[z]^6*
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           (17489418209488801*z^15)/8709120 - (113260813962089551*z^16)/
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       (((1053615054420419*z^16)/6066514744993382400 - (900762314939539*z^17)/
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           (3124008300756825043*z^19)/1805923123200 + 
           (31157054659654794487*z^20)/25082265600 - 
           (33376157275577252257*z^21)/58060800 + (4292808812238119607*z^22)/
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          Cf[z]^5*tS0[z]^2)*tS1[z]^3 + 
       (((-70512220085291*z^12)/1170238183833600 + (57596959791893*z^13)/
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           (7611018000136511*z^15)/43545600 - (52117292578473967*z^16)/
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         202755*Cf[z]^4*tS0[z]^2)*tS1[z]^4 + 
       (((2092340381*z^8)/214990848 - (44483329*z^9)/2304 + 
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       ((-10191035*z^4)/31104 + (12848345*z^5)/48 - 51158058*z^6)*Cf[z]^6*
        tS1[z]^6 - (6110*Cf[z]^5*tS1[z]^7)/3) + 
     S2[z]^3*(((-183872371659738252097*z^30)/
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         (2324253112870969168598608351*z^39)/7357464576000 - 
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         (11667490776046585673752168307574*z^45)/13475)*Cf[z]^12 + 
       ((777910345482853223*z^24)/358667416093423535055175680 - 
         (1128580703002124129081*z^25)/83024864836440633114624000 + 
         (5950252621539908433439*z^26)/153749749697112283545600 - 
         (3275334610289668254023*z^27)/49430860885131264000 + 
         (7517107300838296049650651*z^28)/98861721770262528000 - 
         (4701217385747707579184747*z^29)/76282192723968000 + 
         (9582248235764033711662919*z^30)/264868724736000 - 
         (904658834110111742785691*z^31)/58392576000 + 
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           (15249906285167*z^13)/3135283200 + (2175986610080987*z^14)/
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         ((-1454407*z^6)/864 + (68470681*z^7)/16 - (11841167801*z^8)/4 + 
           616754663964*z^9)*Cf[z]^4*tS0[z]^3 + 2954880*Cf[z]^2*tS0[z]^4)*
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           (676022640454365907971123*z^30)/350)*Cf[z]^9 + 
         ((4477258062397*z^14)/58511909191680 - (4389117270479563*z^15)/
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           (88029463529351857*z^17)/261273600 + (322452662340704251*z^18)/
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           (22291099996941280179*z^20)/2800 - (95997632685425154171*z^21)/
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           (62725531151*z^9)/51840 - (1298496448309*z^10)/1440 + 
           (5912230327063*z^11)/20 - 35927326730520*z^12)*Cf[z]^5*tS0[z]^2 + 
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       (((15303449825999*z^16)/26962287755526144 - (429610889184947*z^17)/
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           (2372370840004586951*z^19)/601974374400 + 
           (26701777249694123029*z^20)/11147673600 - 
           (35634340271093766971*z^21)/38707200 + (9789999156207680307*z^22)/
            44800 - (164047374581010676983*z^23)/5600 + 
           (1189380574604513691909*z^24)/700)*Cf[z]^8 + 
         ((-802171501*z^10)/53747712 + (35630865809*z^11)/995328 - 
           (21117414744137*z^12)/622080 + (61062212938987*z^13)/3840 - 
           (588269516694783*z^14)/160 + (670673256105483*z^15)/2)*Cf[z]^6*
          tS0[z] + ((3049075*z^4)/54 - 50126780*z^5 + 10897270416*z^6)*
          Cf[z]^4*tS0[z]^2)*tS1[z]^4 + 
       (((-40024884787*z^12)/812665405440 + (983284432279*z^13)/7524679680 - 
           (38813888689609*z^14)/278691840 + (877722854247763*z^15)/
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           (1333023824239335*z^17)/448 - (38693212463121147*z^18)/280)*
          Cf[z]^7 + ((245272*z^6)/405 - (1976919359*z^7)/2880 + 
           (57432223181*z^8)/240 - (120335524497*z^9)/5)*Cf[z]^5*tS0[z] + 
         310560*Cf[z]^3*tS0[z]^2)*tS1[z]^5 + 
       (((-53270347*z^8)/8957952 + (16137071599*z^9)/1244160 - 
           (119049014881*z^10)/11520 + (71546553073*z^11)/20 - 
           (4548326441949*z^12)/10)*Cf[z]^6 + ((219625*z^2)/6 - 17169720*z^3)*
          Cf[z]^4*tS0[z])*tS1[z]^6 + ((538825*z^4)/864 - (3298375*z^5)/6 + 
         118977840*z^6)*Cf[z]^5*tS1[z]^7 + (4575*Cf[z]^4*tS1[z]^8)/2) + 
     S2[z]*(-32884317613896893608533053/728709751168605093888000 + 
       (8194901429272528603391107*z)/37485069504557875200 - 
       (2671582984502023926765785*z^2)/10412519306821632 + 
       (5576760379692171681000049*z^3)/51649401323520 + 
       ((-16324721891946638029*z^34)/1336577006888828865760945734691061760 + 
         (171764863591940360776883*z^35)/
          2165749779680972699149680588619776000 - 
         (1170279783645210475084094263*z^36)/
          6497249339042918097449041765859328000 - 
         (7899803929147552211031607*z^37)/
          5013309675187436803587223584768000 + (59992905706636864466935601*
           z^38)/60285109129238056801193164800 - 
         (918773836457042222581186228567*z^39)/
          322357875204953498173046784000 + (142516780997719269046621907921*
           z^40)/30526313939863020660326400 - 
         (8228887292069578055328355706713*z^41)/1554580802493024200294400 + 
         (72579015463534773123511407497*z^42)/16357121238352527360 - 
         (78669757759051866168586834503833*z^43)/27766718151524352000 + 
         (2039564304730160094373378667669*z^44)/1460791148544000 - 
         (9898241623385243291204362045741*z^45)/18598035456000 + 
         (5366876837585650929639781308353*z^46)/34440806400 - 
         (25671715474773878665224879807*z^47)/745472 + 
         (623596098136568040082093039837263*z^48)/112112000 - 
         (8689437300837790537081496374222791*z^49)/14014000 + 
         (37367536997481862609571642198794386*z^50)/875875 - 
         (6836896962009548634917698655194152*z^51)/5005)*Cf[z]^12 + 
       (48470419132965226883/2002407559004160 - (47886588621746138251*z)/
          927040536576 + (16927107818235832531*z^2)/536481792 + 
         ((-46876394922036787*z^28)/62766797816349118634655744000 + 
           (4998493358295625180063*z^29)/502134382530792949077245952000 - 
           (233018293239671985987463*z^30)/4649392430840675454418944000 + 
           (18082474477038187932943063*z^31)/129149789745574318178304000 - 
           (258395433448576990250306827*z^32)/1024998331314081890304000 + 
           (2619631845435963795872279629*z^33)/8304384628702052352000 - 
           (10996742809976483102531148191*z^34)/38446225132879872000 + 
           (261877127585494625570137403*z^35)/1362182012928000 - 
           (29885193620486428444448069713*z^36)/309013512192000 + 
           (20642957581632692961266053*z^37)/567705600 - 
           (477110410765693037540358001*z^38)/47308800 + 
           (3143739213864074803393433781*z^39)/1568000 - 
           (233310423180625662762440430417*z^40)/862400 + 
           (2992668391342564421268363424749*z^41)/134750 - 
           (11289802601331037025755701948684*z^42)/13475)*Cf[z]^10)*tS0[z] + 
       (-508740385480591/62705664 + (845757744648091*z)/103680 + 
         ((3616915377895469*z^22)/26207343698371411968000 - 
           (707408222423191379*z^23)/727981769399205888000 + 
           (20179269340551814889*z^24)/6740571938881536000 - 
           (752799169742612704921*z^25)/140428582060032000 + 
           (32138014495808790331*z^26)/5159780352000 - 
           (17874341156450293310143*z^27)/3611846246400 + 
           (138053273555264640557609*z^28)/50164531200 - 
           (623457678709806802715099*z^29)/580608000 + 
           (27716137051242253752161*z^30)/96000 - (357227928431912857700511*
             z^31)/7000 + (1870934682028873430799027*z^32)/350 - 
           (220243785234425895919518648*z^33)/875)*Cf[z]^8)*tS0[z]^2 + 
       (40631109271/72 + ((-105333344679893*z^16)/21064287309004800 + 
           (10523136639787*z^17)/451480780800 - (2607486604311041*z^18)/
            56435097600 + (17771562388587149*z^19)/348364800 - 
           (1199326618245768947*z^20)/34836480 + (1411420872699680215*z^21)/
            96768 - (1701588260042576585*z^22)/448 + 
           (97477924034701974222*z^23)/175 - (6175015247969379318564*z^24)/
            175)*Cf[z]^6)*tS0[z]^3 + ((28283257*z^10)/414720 - 
         (8495680291*z^11)/46080 + (738378955907*z^12)/3840 - 
         (1564211787351*z^13)/16 + 24385505980995*z^14 - 
         (11980611451041552*z^15)/5)*Cf[z]^4*tS0[z]^4 + 
       (-315399*z^4 + 282624930*z^5 - 63926056656*z^6)*Cf[z]^2*tS0[z]^5 + 
       (19431243146808080609/4256818790400 - (4539527046058586299*z)/
          689762304 + ((109959084008445416341*z^30)/
            2255989353834346561614250613145600 - (503535433058580617159*z^31)/
            1566659273496074001121007370240 + (23980243213133507254616917*
             z^32)/26110987891601233352016789504000 - 
           (15922373983716710271281977*z^33)/10989473018350687437717504000 + 
           (937410606954539797306251721*z^34)/746198785196651616141312000 - 
           (369221551578688655094326971*z^35)/1243664641994419360235520 - 
           (15920115294039727918268245321*z^36)/23133642894241431552000 + 
           (174145350860388409036198262509*z^37)/166600308909146112000 - 
           (157479568201040288766235042963*z^38)/192824431607808000 + 
           (20396466140476056085161845669*z^39)/47823519744000 - 
           (163633947355358803586865328789*z^40)/1033224192000 + 
           (15175445428474488149957459337*z^41)/358758400 - 
           (255907609779164274714909531123*z^42)/32032000 + 
           (5180768742336057001725614418771*z^43)/5096000 - 
           (137346205955506722318738068619273*z^44)/1751750 + 
           (69416478399091321863099582339852*z^45)/25025)*Cf[z]^11 + 
         (-24429280930861/20736 + ((671923552084310717*z^24)/
              1162348107710168863604736000 - (87940825358675139761*z^25)/
              8071861859098394886144000 + (11576937243105068260291*z^26)/
              224218384974955413504000 - (15291799894861763462713*z^27)/
              124565769430530785280 + (30903044277132119713954283*z^28)/
              173008013097959424000 - (17394785064147415155620479*z^29)/
              100120377950208000 + (43750887866492819123359103*z^30)/
              370816214630400 - (366806351005753748644488797*z^31)/
              6437781504000 + (582835864812724534296801983*z^32)/
              29804544000 - (16124928672192867286512653*z^33)/3449600 + 
             (58119608318511625260993099*z^34)/78400 - 
             (9463002552868924073165871501*z^35)/134750 + 
             (202917265758288288960800435028*z^36)/67375)*Cf[z]^9)*tS0[z] + 
         ((-540849497223407*z^18)/2527714477080576000 + 
           (5959484246281843*z^19)/5015306502144000 - 
           (90647568479662561*z^20)/32506616217600 + 
           (4147279884989431457*z^21)/1128701952000 - 
           (31565929960009936991*z^22)/10450944000 + 
           (1406925806621321714461*z^23)/870912000 - 
           (13656941659879969691939*z^24)/24192000 + 
           (997377764428351915089*z^25)/8000 - (55396722144551916399111*z^26)/
            3500 + (110231283675115324630764*z^27)/125)*Cf[z]^7*tS0[z]^2 + 
         ((2946077074201*z^12)/507915878400 - (2474313293903*z^13)/
            130636800 + (270755664428671*z^14)/10886400 - 
           (641505451030937*z^15)/37800 + (2144813745564457*z^16)/336 - 
           (220402133808630174*z^17)/175 + (17864217962107957872*z^18)/175)*
          Cf[z]^5*tS0[z]^3 + ((-7135909*z^6)/160 + (2507483097*z^7)/40 - 
           (291708376569*z^8)/10 + (22427305342632*z^9)/5)*Cf[z]^3*tS0[z]^4 + 
         35544096*Cf[z]*tS0[z]^5)*tS1[z] + 
       (((-668630049541875437*z^26)/8368906375513215817954099200 + 
           (331280609562365701489*z^27)/664198918691525064916992000 - 
           (182077211857862870641549*z^28)/129149789745574318178304000 + 
           (286131988711927795535393*z^29)/119583138653309553868800 - 
           (3770207269270458480866309*z^30)/1384064104783675392000 + 
           (16908559123128158963750549*z^31)/7689245026575974400 - 
           (259533513371660170667664439*z^32)/200240755900416000 + 
           (523877188347267409296353939*z^33)/927040536576000 - 
           (260829590513112418428455189*z^34)/1430618112000 + 
           (61001462525380569121890113*z^35)/1419264000 - 
           (49598031501652126290621963*z^36)/6899200 + 
           (868558560261414894533188287*z^37)/1078000 - 
           (14538458182759362747763811469*z^38)/269500 + 
           (9899239334128479489455136504*z^39)/6125)*Cf[z]^10 + 
         ((8906199425303*z^20)/6933159708563865600 - (60295012073826149*z^21)/
            20221715816644608000 - (328272332195367253*z^22)/
            561714328240128000 + (74210485940024664919*z^23)/
            7801587892224000 - (2150102750466028398253*z^24)/
            144473849856000 + (81255322062936059887*z^25)/6688604160 - 
           (786676033948895114039*z^26)/129024000 + 
           (15749464437540754544077*z^27)/8064000 - 
           (43799557222588297591809*z^28)/112000 + 
           (39182279263036866747018*z^29)/875 - (11231196572176418873628*
             z^30)/5)*Cf[z]^8*tS0[z] + ((109819813891*z^14)/1218998108160 - 
           (8798689946267*z^15)/24186470400 + (30912068335019*z^16)/
            52254720 - (5574495866073151*z^17)/10886400 + 
           (51912851607779257*z^18)/201600 - (508678461961174619*z^19)/6720 + 
           (8463527418732886359*z^20)/700 - (142038381973390761312*z^21)/175)*
          Cf[z]^6*tS0[z]^2 + ((-155581087*z^8)/93312 + (1118954359*z^9)/360 - 
           (25654587413*z^10)/12 + (3215189426982*z^11)/5 - 
           (356707605585744*z^12)/5)*Cf[z]^4*tS0[z]^3 + 
         (3150900*z^2 - 1244898720*z^3)*Cf[z]^2*tS0[z]^4)*tS1[z]^2 + 
       (((1438513007112761*z^22)/20965874958697129574400 - 
           (74111570128422821*z^23)/194128471839788236800 + 
           (233116053697789961071*z^24)/242660589799735296000 - 
           (101509495403953118351*z^25)/70214291030016000 + 
           (15055354105610833838347*z^26)/10402117189632000 - 
           (146313604279847273656159*z^27)/144473849856000 + 
           (38037858437809711599143*z^28)/75246796800 - 
           (1253962033364876536806547*z^29)/6967296000 + 
           (722125650126666399447899*z^30)/16128000 - 
           (12963951808395122784993*z^31)/1750 + (5130487722731886103694319*
             z^32)/7000 - (5740568634445820579971692*z^33)/175)*Cf[z]^9 + 
         ((-3643719763589*z^16)/1872381094133760 + (62957242690981*z^17)/
            8358844170240 - (23409950144766167*z^18)/1805923123200 + 
           (972313212942278749*z^19)/75246796800 - 
           (33995028067257424897*z^20)/4180377600 + (569723655656372023*z^21)/
            172800 - (37550044302359638711*z^22)/44800 + 
           (34101989284325096493*z^23)/280 - (1351836010123307566533*z^24)/
            175)*Cf[z]^7*tS0[z] + ((71370241*z^10)/16796160 - 
           (1897712653*z^11)/116640 + (23811392009*z^12)/1080 - 
           (249167116903*z^13)/18 + (20596148919459*z^14)/5 - 
           (2353479950395008*z^15)/5)*Cf[z]^5*tS0[z]^2 + 
         ((-389600*z^4)/27 + 30792240*z^5 - 10961707968*z^6)*Cf[z]^3*
          tS0[z]^3)*tS1[z]^3 + (((-65098594953977*z^18)/2022171581664460800 + 
           (2398972356384857*z^19)/16048980806860800 - 
           (2868958586512900361*z^20)/9361905470668800 + 
           (450834034662590861*z^21)/1238347284480 - 
           (36947351017737442243*z^22)/133772083200 + 
           (773482455263078430533*z^23)/5573836800 - 
           (335133267652108655533*z^24)/7257600 + (62806682688416810081*z^25)/
            6400 - (3384446341839322591557*z^26)/2800 + 
           (23012726569117521478227*z^27)/350)*Cf[z]^8 + 
         ((18053979113*z^12)/19349176320 - (3072991015583*z^13)/1074954240 + 
           (43116744091069*z^14)/11943936 - (399292859603701*z^15)/165888 + 
           (41209591017427321*z^16)/46080 - (28098602529775167*z^17)/160 + 
           (284859150252499953*z^18)/20)*Cf[z]^6*tS0[z] + 
         ((-91133171*z^6)/12960 + (3679410977*z^7)/360 - (49011540531*z^8)/
            10 + (3874280479848*z^9)/5)*Cf[z]^4*tS0[z]^2 + 
         4480800*Cf[z]^2*tS0[z]^3)*tS1[z]^4 + 
       (((292676550499*z^14)/39007939461120 - (10244496572911*z^15)/
            386983526400 + (5934067096981489*z^16)/150493593600 - 
           (4486709076074441*z^17)/139345920 + (28730030948360191*z^18)/
            1843200 - (160460675339191429*z^19)/35840 + 
           (282775592400871401*z^20)/400 - (6630086414598389469*z^21)/140)*
          Cf[z]^7 + ((-76572053*z^8)/497664 + (14759083997*z^9)/51840 - 
           (70400433791*z^10)/360 + (590693029603*z^11)/10 - 
           (33088026858804*z^12)/5)*Cf[z]^5*tS0[z] + 
         (229300*z^2 - 88302240*z^3)*Cf[z]^3*tS0[z]^2)*tS1[z]^5 + 
       (((-26513863*z^10)/53747712 + (680817391*z^11)/663552 - 
           (409891585051*z^12)/497664 + (725746832783*z^13)/2304 - 
           (1793899090401*z^14)/32 + (7049657060577*z^15)/2)*Cf[z]^6 + 
         ((425*z^4)/8 + (4136725*z^5)/6 - 316179540*z^6)*Cf[z]^4*tS0[z])*
        tS1[z]^6 + (((-675931*z^6)/10368 + (27687047*z^7)/288 - 
           (1117822673*z^8)/24 + 7417784502*z^9)*Cf[z]^5 + 
         73800*Cf[z]^3*tS0[z])*tS1[z]^7 + ((2375*z^2)/2 - 441000*z^3)*Cf[z]^4*
        tS1[z]^8)
 
Ff[8] = 828228492315432477106919540441/
      8068824260337390169721618426757120000 + 
     (1927159579641704594261373347425477*z)/
      958795475379597288686056510586880000 - 
     (148799962583456458989827015759543*z^2)/
      16813893718076551779707781120000 + (40391601904584590748703314921800951*
       z^3)/2201819415462405590199828480000 - 
     (41548459829451409053138625964431561*z^4)/1982090523178605855375360000 + 
     (373182976823636965801924482625876717*z^5)/27529035044147303546880000 - 
     (188777402547082050815495478769669*z^6)/40460075020792627200 + 
     (42077490541299029986568766743221*z^7)/63218867219988480 + 
     ((-145606083300594019806747326566213*z^42)/
        797697859038619405582369573626644197848842093199360000 + 
       (820616795513725063256943985177049*z^43)/
        738609128739462412576268123728374257267446382592000 - 
       (303803637476847647029645430609567*z^44)/
        97144508725202863606937621492052590654914560000 + 
       (17771579166257293670058846778232471*z^45)/
        3298116036966763887889857519791908941987840000 - 
       (2304061650840722485844029833488251*z^46)/
        363548945873761451486977239835968798720000 + 
       (189805261452271133666849134101996689*z^47)/
        35345036404393474450122787206274744320000 - 
       (1583714712353467597444209077053*z^48)/
        469997782048822200336302211072000 + 
       (74986457952761704640038653830776801*z^49)/
        47347924710103569811657111633920000 - 
       (122073737597154644638614110960935429*z^50)/
        219203355139368378757671813120000 + 
       (88019736043039956147446326499026903*z^51)/
        608898208720467718771310592000 - (23721983209789907246058486339019043*
         z^52)/880929121412713713500160000 + 
       (5585257896759233810923463226784001*z^53)/1631350224838358728704000 - 
       (1703566200905656606179540600625453*z^54)/6293789447678853120000 + 
       (43836197337623785561655223031049*z^55)/4162559158517760000)*
      Cf[z]^14 + ((-98375*z^2)/128 + (6475304175*z^3)/8192)*Cf[z]^14*
      S2[z]^20 + (1282031525*Cf[z]^14*S2[z]^21)/688128 + 
     (186723497441218813947436810079/587497227561027750420377763840000 - 
       (264659644049308727003484669701*z)/113328940501741464201461760000 + 
       (531249055359227429742189953471*z^2)/80718618590983948861440000 - 
       (6876194404195882728844605492169*z^3)/728709751168605093888000 + 
       (4929733568744026416103936867957*z^4)/674731251082041753600 - 
       (94882742659778836032254063713*z^5)/32539122833817600 + 
       (81150289998362434417878743051*z^6)/172164671078400 + 
       ((123342237693369200017679354017*z^36)/
          5238184294006036763119185472610678907863040000 - 
         (11144806745038853004311940449*z^37)/
          36087579185998379375545534836658667520000 + 
         (16926424440972591844183948439603*z^38)/
          9356039048221802060326620142837432320000 - 
         (13803967158448994026210750494881*z^39)/
          2165749779680972699149680588619776000 + 
         (2007738735461250061179055212653*z^40)/
          131467911062607608485678940160000 - 
         (77155533974097142046890126038461*z^41)/
          2901220876844581483557421056000 + 
         (7059454508814882315734525879802851*z^42)/
          201473672003095936358154240000 - 
         (2785222131730306206658370308715383*z^43)/
          77729040124651210014720000 + (561682955742069810448389837048740567*
           z^44)/19432260031162802503680000 - 
         (835108994150899268955417926511052319*z^45)/
          44982083405469450240000 + (36760147115813101163581935298212233*
           z^46)/3856488632156160000 - (313965614875861028111192469664322381*
           z^47)/80343513169920000 + (59097851967785225352807545876053901*
           z^48)/46495088640000 - (4647381377587326357160849476088597*z^49)/
          14350336000 + (56741066235489134141693906666964057*z^50)/
          896896000 - (73266113673423735147945059147816301*z^51)/8008000 + 
         (2586875517106846340487641959527282987*z^52)/2802800 - 
         (2031655305852908135602799758503914718*z^53)/35035 + 
         (42758434328769038880384751557647277264*z^54)/25025)*Cf[z]^12)*
      tS0[z] + (-637351571917009861510085089/5666447025087073210073088000 + 
       (172337823092191516762798451*z)/267689296347650850816000 - 
       (866278005818337255235168333*z^2)/619651148952895488000 + 
       (369557046620198721782212513*z^3)/255580019349258240 - 
       (23384057276546290006017155741*z^4)/32539122833817600 + 
       (297629525961993676849418717*z^5)/2152058388480 + 
       ((-8625112826818966220060790427*z^30)/
          1754257321541587886311241276782018560000 + 
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         (11332645439936998241*z^23)/243799621632000 + 
         (36315109970866956667*z^24)/401316249600 - 
         (82981104786416327941*z^25)/1119744000 + 
         (20429581235078318183563*z^26)/580608000 - 
         (165708864965533912542683*z^27)/16128000 + 
         (404519110865480810923461*z^28)/224000 - 
         (86268591053074696052961*z^29)/500 + (831512624706288113849559*z^30)/
          125)*Cf[z]^8*tS0[z] + ((-3692470097*z^14)/5441955840 + 
         (122176922718277*z^15)/48372940800 - (1094885040154261*z^16)/
          298598400 + (3421351407948941*z^17)/1244160 - 
         (797805869675848961*z^18)/691200 + (64266223200708541*z^19)/240 - 
         (1527703374519759537*z^20)/50 + 1164025499139594252*z^21)*Cf[z]^6*
        tS0[z]^2 + ((159143623*z^8)/23328 - (18608930111*z^9)/3240 - 
         (13138422151*z^10)/30 + (6976438958088*z^11)/5 - 
         (1476697385919168*z^12)/5)*Cf[z]^4*tS0[z]^3 + 
       (74839800*z^2 - 33204003840*z^3)*Cf[z]^2*tS0[z]^4)*tS1[z]^4 + 
     (((-626271408202607*z^22)/1091972654098808832000 + 
         (806122800677880241*z^23)/242660589799735296000 - 
         (3912035864008948783*z^24)/449371462592102400 + 
         (7657176864245861228827*z^25)/561714328240128000 - 
         (36400862300104725211*z^26)/2568423997440 + 
         (494592118723875822735031*z^27)/48157949952000 - 
         (21237479004652480139869171*z^28)/4013162496000 + 
         (5402228653604684871837689*z^29)/2786918400 - 
         (31905131159377977111695689*z^30)/64512000 + 
         (7498935178788191880656907*z^31)/89600 - 
         (23673134380562942152533381*z^32)/2800 + 
         (676016211164658278083524819*z^33)/1750)*Cf[z]^9 + 
       ((3667775510339*z^16)/146279772979200 - (123973414328321*z^17)/
          1160950579200 + (1659814866366479*z^18)/8360755200 - 
         (164207017873723201*z^19)/783820800 + (11927424145157887237*z^20)/
          87091200 - (6864038233842737399*z^21)/120960 + 
         (162981223113538251087*z^22)/11200 - (73923056320835327166*z^23)/
          35 + (23257378397723453558532*z^24)/175)*Cf[z]^7*tS0[z] + 
       ((-1893857731*z^10)/4478976 + (147833230525*z^11)/124416 - 
         (7328366070581*z^12)/5760 + (158174228918723*z^13)/240 - 
         (1666400316802911*z^14)/10 + (82720666056271608*z^15)/5)*Cf[z]^5*
        tS0[z]^2 + ((35637100*z^4)/9 - 3505894400*z^5 + 773041155840*z^6)*
        Cf[z]^3*tS0[z]^3)*tS1[z]^5 + 
     (((239850962822467*z^18)/1263857238540288000 - (128744589337354573*z^19)/
          140428582060032000 + (1513652174030027897*z^20)/780158789222400 - 
         (255925845657513573869*z^21)/108355387392000 + 
         (1830436396181237280337*z^22)/1003290624000 - 
         (25870292218325776004879*z^23)/27869184000 + 
         (723256355751159060780443*z^24)/2322432000 - 
         (119149181051783922600587*z^25)/1792000 + 
         (918895966319059281536589*z^26)/112000 - 
         (3122762465000744579211273*z^27)/7000)*Cf[z]^8 + 
       ((-13675758029*z^12)/1763596800 + (37897476421397*z^13)/1567641600 - 
         (3992353633027019*z^14)/130636800 + (36621582300859807*z^15)/
          1814400 - (74356106253633007*z^16)/10080 + 
         (248255786707961973*z^17)/175 - (19667715297168423384*z^18)/175)*
        Cf[z]^6*tS0[z] + ((55732897*z^6)/648 - (2017700389*z^7)/18 + 
         48465865884*z^8 - 6950961039744*z^9)*Cf[z]^4*tS0[z]^2 + 
       28358400*Cf[z]^2*tS0[z]^3)*tS1[z]^6 + 
     (((-3946386841*z^14)/152374763520 + (31055333256587*z^15)/338610585600 - 
         (423390081590401*z^16)/3135283200 + (14092176290678791*z^17)/
          130636800 - (61322539635562987*z^18)/1209600 + 
         (47221733363976791*z^19)/3360 - (373023682496185977*z^20)/175 + 
         (23903305809805234296*z^21)/175)*Cf[z]^7 + 
       ((4479935*z^8)/7776 - (130589609*z^9)/144 + (18838762637*z^10)/36 - 
         130191618956*z^11 + 11636095438656*z^12)*Cf[z]^5*tS0[z] + 
       (2485000*z^2 - 1095091200*z^3)*Cf[z]^3*tS0[z]^2)*tS1[z]^7 + 
     (((-5533235*z^10)/4478976 + (128630435*z^11)/31104 - 
         (705583975*z^12)/144 + (390792805045*z^13)/144 - 
         (1439607359385*z^14)/2 + 74080120729320*z^15)*Cf[z]^6 + 
       ((393875*z^4)/6 - 57696000*z^5 + 12630729600*z^6)*Cf[z]^4*tS0[z])*
      tS1[z]^8 + (((1911305*z^6)/3888 - (34536955*z^7)/54 + 
         (828323480*z^8)/3 - 39551477760*z^9)*Cf[z]^5 + 
       288000*Cf[z]^3*tS0[z])*tS1[z]^9 + ((25000*z^2)/3 - 3648000*z^3)*
      Cf[z]^4*tS1[z]^10 + S2[z]^19*(((28038471875*z^4)/254803968 - 
         (161287703725*z^5)/589824 + (39243955155*z^6)/256)*Cf[z]^14 + 
       (586953125*Cf[z]^13*tS1[z])/24576) + 
     S2[z]^18*(((-1102052375*z^6)/764411904 + (551980389325*z^7)/21233664 - 
         (515687814685*z^8)/12288 + (18279188802405*z^9)/1024)*Cf[z]^14 - 
       (77904475*Cf[z]^12*tS0[z])/36864 + ((-739201625*z^2)/73728 + 
         (19726848225*z^3)/2048)*Cf[z]^13*tS1[z]) + 
     S2[z]^17*(((-1332525131675*z^8)/880602513408 + (6929497804675*z^9)/
          3057647616 + (18783252493885*z^10)/14155776 - (28174839511655*z^11)/
          8192 + (702585909320157*z^12)/512)*Cf[z]^14 + 
       ((6515875*z^2)/9216 - (384881725*z^3)/512)*Cf[z]^12*tS0[z] + 
       ((68543675275*z^4)/42467328 - (1024291782275*z^5)/294912 + 
         (1821354789795*z^6)/1024)*Cf[z]^13*tS1[z] + 
       (975645925*Cf[z]^12*tS1[z]^2)/8192) + 
     S2[z]^16*(((4629015868175*z^10)/23776267862016 - (461403240092905*z^11)/
          660451885056 + (154319700158897*z^12)/191102976 - 
         (12012942529439*z^13)/49152 - (135384591459871*z^14)/1024 + 
         (36554252893871985*z^15)/512)*Cf[z]^14 + 
       ((-1349762975*z^4)/47775744 + (18288089125*z^5)/110592 - 
         (7207006235*z^6)/64)*Cf[z]^12*tS0[z] + 
       (((-99649371475*z^6)/1146617856 + (13521341474255*z^7)/31850496 - 
           (77994918544595*z^8)/147456 + (202613097727335*z^9)/1024)*
          Cf[z]^13 - (113821325*Cf[z]^11*tS0[z])/4608)*tS1[z] + 
       ((-11074357225*z^2)/221184 + (277736370335*z^3)/6144)*Cf[z]^12*
        tS1[z]^2) + S2[z]^15*(((-1188134007904355*z^12)/184884258895036416 + 
         (7142162730076333*z^13)/142657607172096 - (9511096763070409*z^14)/
          82556485632 + (130503344794409291*z^15)/1146617856 - 
         (82617489624641515*z^16)/1769472 + (8592954156165169*z^17)/4096 + 
         (1541942464521315141*z^18)/640)*Cf[z]^14 + 
       ((-7247627275*z^6)/286654464 + (27207261985*z^7)/995328 + 
         (156783251225*z^8)/36864 - (2067310540815*z^9)/256)*Cf[z]^12*
        tS0[z] + (347066575*Cf[z]^10*tS0[z]^2)/13824 + 
       (((-54576136159565*z^8)/5944066965504 + (660277969363*z^9)/
            6879707136 + (208954279413583*z^10)/5308416 - 
           (207477289831555*z^11)/4608 + (7485741288867405*z^12)/512)*
          Cf[z]^13 + ((316206275*z^2)/27648 - (3655137595*z^3)/384)*Cf[z]^11*
          tS0[z])*tS1[z] + ((4986229756765*z^4)/573308928 - 
         (22118651965475*z^5)/1327104 + (12083842524845*z^6)/1536)*Cf[z]^12*
        tS1[z]^2 + (48755595955*Cf[z]^11*tS1[z]^3)/165888) + 
     S2[z]^14*(((-282961284915541*z^14)/323547453066313728 + 
         (29546574242631113*z^15)/17974858503684096 + 
         (214163505114525521*z^16)/110955916689408 - 
         (3329055902351459029*z^17)/428070666240 + (3643023697307412895*z^18)/
          445906944 - (1266226007365587911*z^19)/344064 + 
         (78256556642307081447*z^20)/143360 + (371846669516736993513*z^21)/
          8960)*Cf[z]^14 + ((9103239462995*z^8)/1486016741376 - 
         (25546168167481*z^9)/1719926784 + (31602020248207*z^10)/2654208 - 
         (28383142615513*z^11)/9216 - (8684541931197*z^12)/128)*Cf[z]^12*
        tS0[z] + ((-63428525*z^2)/6912 + (3206874655*z^3)/384)*Cf[z]^10*
        tS0[z]^2 + (((5892886364377*z^10)/2972033482752 - 
           (949341127885183*z^11)/165112971264 + (414516094730855*z^12)/
            84934656 + (122330965692973*z^13)/442368 - 
           (1093162964298405*z^14)/512 + (189353922369094773*z^15)/256)*
          Cf[z]^13 + ((-147978165835*z^4)/71663616 + (619795792025*z^5)/
            165888 - (39479585275*z^6)/24)*Cf[z]^11*tS0[z])*tS1[z] + 
       (((-51204794957*z^6)/71663616 + (117359996513*z^7)/49152 - 
           (365363343504965*z^8)/147456 + (847753130048535*z^9)/1024)*
          Cf[z]^12 - (1080251245*Cf[z]^10*tS0[z])/13824)*tS1[z]^2 + 
       ((-10036891625*z^2)/82944 + (476633865475*z^3)/4608)*Cf[z]^11*
        tS1[z]^3) + S2[z]^13*
      (((278014985582986073*z^16)/2236359995594360487936 - 
         (723254049405316295*z^17)/1294189812265254912 + 
         (4142982345562011983*z^18)/4279728215162880 - 
         (50900222706540554329*z^19)/69347447930880 + 
         (11020715465612051393*z^20)/128421199872 + 
         (87476193899449720853*z^21)/371589120 - (51908058171767824129*z^22)/
          344064 + (544237241933257782849*z^23)/17920 - 
         (10306581073027261389*z^24)/32)*Cf[z]^14 + 
       ((-2754766693909*z^10)/4458050224128 + (23446413896249*z^11)/
          10319560704 - (74677168427375*z^12)/23887872 + 
         (72965521201951*z^13)/36864 - (558063941093463*z^14)/1024 + 
         (2678963098757553*z^15)/64)*Cf[z]^12*tS0[z] + 
       ((11987979415*z^4)/11943936 - (64581278125*z^5)/27648 + 
         (76669352855*z^6)/64)*Cf[z]^10*tS0[z]^2 + 
       (((-7905619003581781*z^12)/53924575511052288 + 
           (28041220328730839*z^13)/41608468758528 - 
           (186396803022188593*z^14)/160526499840 + 
           (6101276194386369179*z^15)/6688604160 - (46790373962266801*z^16)/
            172032 - (1099591372674032097*z^17)/35840 + 
           (27858391467378462657*z^18)/1120)*Cf[z]^13 + 
         ((23835765851*z^6)/214990848 - (153310131119*z^7)/331776 + 
           (4602509979449*z^8)/9216 - (10444352484585*z^9)/64)*Cf[z]^11*
          tS0[z] + (189416005*Cf[z]^9*tS0[z]^2)/1152)*tS1[z] + 
       (((3466282109615*z^8)/495338913792 - (23314939807087*z^9)/191102976 + 
           (237829317832663*z^10)/884736 - (655016308677319*z^11)/3072 + 
           (14932765258118433*z^12)/256)*Cf[z]^12 + 
         ((1713103775*z^2)/41472 - (2916293435*z^3)/96)*Cf[z]^10*tS0[z])*
        tS1[z]^2 + ((1551750072605*z^4)/71663616 - (6285787367915*z^5)/
          165888 + (3202094845447*z^6)/192)*Cf[z]^11*tS1[z]^3 + 
       (10389987935*Cf[z]^10*tS1[z]^4)/27648) + 
     S2[z]^12*(((-63531901812323027*z^18)/10063619980174622195712 + 
         (12664628667185856661*z^19)/310605554943661178880 - 
         (1395238393369791870209*z^20)/12941898122652549120 + 
         (4569530137046519858471*z^21)/29958097506140160 - 
         (5718415118344837901917*z^22)/46231631953920 + 
         (3520091230160344715965*z^23)/64210599936 - 
         (3464457733005688685701*z^24)/371589120 - 
         (495894237121014871669*z^25)/286720 + (27795887100298208172987*z^26)/
          35840 - (14694847129310506314561*z^27)/448)*Cf[z]^14 + 
       ((1253009872739257*z^12)/121330294899867648 - (10127481371485733*z^13)/
          93619054706688 + (118819579311464581*z^14)/433421549568 - 
         (2314495070950699051*z^15)/7524679680 + (1001741227079342641*z^16)/
          5806080 - (1234571802850342991*z^17)/26880 + 
         (475366117351937739*z^18)/112)*Cf[z]^12*tS0[z] + 
       ((2122887761*z^6)/23887872 + (3015668183*z^7)/110592 - 
         (5181532189231*z^8)/27648 + (5747409458299*z^9)/64)*Cf[z]^10*
        tS0[z]^2 - (756978455*Cf[z]^8*tS0[z]^3)/5184 + 
       (((69134683417139*z^14)/30332573724966912 - (1781685500802528413*z^15)/
            67405719388815360 + (3448167698058911*z^16)/42807066624 - 
           (7736719663180904983*z^17)/68797071360 + 
           (77488644417451873151*z^18)/955514880 - (6996345783884454169*z^19)/
            245760 + (52763523414785983917*z^20)/17920 + 
           (519481910083419275823*z^21)/1120)*Cf[z]^13 + 
         ((14106184643845*z^8)/557256278016 - (19340836081577*z^9)/
            644972544 - (26142112966181*z^10)/1990656 + 
           (396826106770567*z^11)/13824 - (151926331043039*z^12)/16)*Cf[z]^11*
          tS0[z] + ((-192844825*z^2)/2304 + (1454477005*z^3)/24)*Cf[z]^9*
          tS0[z]^2)*tS1[z] + (((10800470176183*z^10)/2229025112064 - 
           (293881225452137*z^11)/30958682112 - (3916023864150673*z^12)/
            5733089280 + (60911506614722251*z^13)/4423680 - 
           (692405410555841659*z^14)/61440 + (3661070321014890543*z^15)/1280)*
          Cf[z]^12 + ((-553625871785*z^4)/53747712 + (1852254241885*z^5)/
            124416 - (790595143183*z^6)/144)*Cf[z]^10*tS0[z])*tS1[z]^2 + 
       (((-21439014091*z^6)/10077696 + (17512838671963*z^7)/2985984 - 
           (887260417934291*z^8)/165888 + (625152768148067*z^9)/384)*
          Cf[z]^11 - (1386225395*Cf[z]^9*tS0[z])/15552)*tS1[z]^3 + 
       ((-18469099925*z^2)/124416 + (833692647725*z^3)/6912)*Cf[z]^10*
        tS1[z]^4) + S2[z]^11*
      (((-5680716592886718169*z^20)/86949676628708735770951680 - 
         (25939187498002793461*z^21)/67090799867830814638080 + 
         (407155646953545666247*z^22)/133116666404426219520 - 
         (3354086609691698570569*z^23)/431396604088418304 + 
         (150263807465879091500219*z^24)/14265760717209600 - 
         (986698054386089171745719*z^25)/115579079884800 + 
         (2247585700242824618986583*z^26)/535088332800 - 
         (2598072908826546875387*z^27)/2211840 + 
         (420281195422550033770511*z^28)/2867200 - 
         (1044642600362270456919*z^29)/17920 - (807103788986362521220047*
           z^30)/2240)*Cf[z]^14 + 
       ((654111859467613*z^14)/121330294899867648 - (54105630769718293*z^15)/
          3370285969440768 + (399720768424561553*z^16)/26005292974080 - 
         (1399394672178173*z^17)/8026324992 - (8216611167047586407*z^18)/
          836075520 + (9290706231022437577*z^19)/1290240 - 
         (18766647105476038347*z^20)/8960 + (2961720190276955757*z^21)/14)*
        Cf[z]^12*tS0[z] + ((-14286665287865*z^8)/371504185344 + 
         (34005265408243*z^9)/429981696 - (33066722858569*z^10)/663552 + 
         (12577758470887*z^11)/2304 + (22198520399061*z^12)/8)*Cf[z]^10*
        tS0[z]^2 + ((32848925*z^2)/648 - (1519073515*z^3)/36)*Cf[z]^8*
        tS0[z]^3 + (((4966560423361437289*z^16)/8386349983478851829760 - 
           (26612569356006397*z^17)/14444082726174720 + 
           (15995291496025376213*z^18)/12839184645488640 + 
           (118247283389189775671*z^19)/52010585948160 - 
           (1564990204114975675879*z^20)/321052999680 + 
           (214203716679851296915*z^21)/55738368 - 
           (188880387579358394747*z^22)/129024 + (2042406829123436091357*
             z^23)/8960 - (2056576826196452867319*z^24)/2240)*Cf[z]^13 + 
         ((-3680273981423*z^10)/557256278016 + (1081739530403*z^11)/
            60466176 - (797718281079919*z^12)/44789760 + 
           (12029295806887639*z^13)/1658880 - (731160679021797*z^14)/1280 - 
           (9254403764934219*z^15)/40)*Cf[z]^11*tS0[z] + 
         ((329006239945*z^4)/17915904 - (1119082353155*z^5)/41472 + 
           (480040508399*z^6)/48)*Cf[z]^9*tS0[z]^2)*tS1[z] + 
       (((-238980366261892973*z^12)/404434316332892160 + 
           (223653527904461969*z^13)/104021171896320 - 
           (62809490881959727*z^14)/21403533312 + (32909283352405808359*z^15)/
            20065812480 - (712343947156022483*z^16)/20643840 - 
           (23449746240965143269*z^17)/71680 + (173214570944573756109*z^18)/
            1792)*Cf[z]^12 + ((85087920247*z^6)/53747712 - 
           (5051850428269*z^7)/1492992 + (16986058864825*z^8)/6912 - 
           (9722990345643*z^9)/16)*Cf[z]^10*tS0[z] + 
         (359277415*Cf[z]^8*tS0[z]^2)/3456)*tS1[z]^2 + 
       (((124010034882275*z^8)/1114512556032 - (100413198256141*z^9)/
            214990848 + (16590009672542867*z^10)/23887872 - 
           (4120793513945963*z^11)/9216 + (13701774381037589*z^12)/128)*
          Cf[z]^11 + ((582578125*z^2)/15552 - (6151403915*z^3)/216)*Cf[z]^9*
          tS0[z])*tS1[z]^3 + ((5643262395425*z^4)/214990848 - 
         (7073651894195*z^5)/165888 + (20321708924021*z^6)/1152)*Cf[z]^10*
        tS1[z]^4 + (4728199495*Cf[z]^9*tS1[z]^5)/20736) + 
     S2[z]^10*(((2232363171184893487*z^22)/65212257471531551828213760 - 
         (2608286746580779329617*z^23)/14491612771451455961825280 + 
         (17615525338646755098847*z^24)/44727199911887209758720 - 
         (25068084463756221544883*z^25)/57519547211789107200 + 
         (1072854798837473701379*z^26)/5547795834470400 + 
         (2529199000175371795387*z^27)/24766945689600 - 
         (428297598335698747638727*z^28)/2140353331200 + 
         (1920922530539248150392391*z^29)/14863564800 - 
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     S2[z]^7*(((271041220690563355513*z^28)/
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           (2530843954081050720992456033383*z^36)/1373393387520000 - 
           (8747954600934347786185788702691*z^37)/14306181120000 + 
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           (96371462429446457350616851917*z^39)/3520000 + 
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           (691886668119753257728653890059263*z^41)/2695000 + 
           (3035387218110893519593054844858589*z^42)/336875)*Cf[z]^11 + 
         ((-174836132970954277*z^22)/26207343698371411968000 + 
           (25673752879204744207*z^23)/727981769399205888000 - 
           (5136868078605757731491*z^24)/60665147449933824000 + 
           (318080995576617925109*z^25)/2600529297408000 - 
           (1629305430779082484939*z^26)/13759414272000 + 
           (416944660659592758339119*z^27)/5159780352000 - 
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           (28178357166174743113232237*z^30)/8064000 + 
           (32654404987716723830861229*z^31)/56000 - 
           (102486650873849660195509887*z^32)/1750 + 
           (2341373757492333504600087588*z^33)/875)*Cf[z]^9*tS0[z] + 
         ((1341662142299693*z^16)/42128574618009600 - (4661509946844403*z^17)/
            48759924326400 + (6038956592419307*z^18)/42998169600 - 
           (1722185670371362211*z^19)/12541132800 + 
           (200039605427685950837*z^20)/2090188800 - 
           (22177119195833868923*z^21)/483840 + (313285977162621193881*z^22)/
            22400 - (1691039514505935451293*z^23)/700 + 
           (31270120102239959990718*z^24)/175)*Cf[z]^7*tS0[z]^2 + 
         ((7108807087*z^10)/8398080 - (1606776211111*z^11)/933120 + 
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           (309261512938077*z^14)/5 - (7341074194168944*z^15)/5)*Cf[z]^5*
          tS0[z]^3 + ((-27824585*z^4)/18 + 734750320*z^5 - 14975345664*z^6)*
          Cf[z]^3*tS0[z]^4)*tS1[z]^3 + 
       (((-207061941243894214691*z^24)/2490745945093218993438720000 + 
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           (7826660005619432723593990501*z^33)/168960000 - 
           (31142714824333799486016493851*z^34)/4480000 + 
           (968226841263498305047570783143*z^35)/1540000 - 
           (9970138148761491042127140984483*z^36)/385000)*Cf[z]^10 + 
         ((9913111250831389*z^18)/2527714477080576000 - 
           (2545539938755934243*z^19)/140428582060032000 + 
           (86953783969004523961*z^20)/2340476367667200 - 
           (342621170746850189851*z^21)/7739670528000 + 
           (16939271903615771912891*z^22)/501645312000 - 
           (8505098217179939543519*z^23)/497664000 + 
           (1110202407636352369654439*z^24)/193536000 - 
           (551486947628460131039133*z^25)/448000 + 
           (4289935373135876898805491*z^26)/28000 - 
           (14743865061685091887894107*z^27)/1750)*Cf[z]^8*tS0[z] + 
         ((-1804029083623*z^12)/36279705600 + (140217222629129*z^13)/
            895795200 - (10081822078953367*z^14)/49766400 + 
           (95496159959294111*z^15)/691200 - (1207703054425879169*z^16)/
            23040 + (4198922113661680899*z^17)/400 - 
           (43368521704121963709*z^18)/50)*Cf[z]^6*tS0[z]^2 + 
         ((1762090303*z^6)/6480 - (72977604961*z^7)/180 + (993952887483*z^8)/
            5 - (160320301954128*z^9)/5)*Cf[z]^4*tS0[z]^3 - 
         162575280*Cf[z]^2*tS0[z]^4)*tS1[z]^4 + 
       (((3965667454978687*z^20)/145596353879841177600 - 
           (96902267844861887*z^21)/674057193888153600 + 
           (94713441229812417569*z^22)/280857164120064000 - 
           (1807812007986908091233*z^23)/3900793946112000 + 
           (276623171263382741743*z^24)/668860416000 - 
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           (1456172482287719768410799*z^26)/13934592000 - 
           (5734164791290210403931259*z^27)/193536000 + 
           (306310488022729294655991*z^28)/56000 - 
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           (25273162135548476296140348*z^30)/875)*Cf[z]^9 + 
         ((-10798683660883*z^14)/9751984865280 + (2664115625102413*z^15)/
            677221171200 - (222212239039041953*z^16)/37623398400 + 
           (847630775565993089*z^17)/174182400 - (23025185101488170851*z^18)/
            9676800 + (18575745841802051479*z^19)/26880 - 
           (15464694880889251227*z^20)/140 + (1312573616896876460073*z^21)/
            175)*Cf[z]^7*tS0[z] + ((8255031883*z^8)/746496 - 
           (179161505593*z^9)/8640 + (1733272111963*z^10)/120 - 
           (22146826472646*z^11)/5 + (2522781592901496*z^12)/5)*Cf[z]^5*
          tS0[z]^2 + (-12409000*z^2 + 4970502720*z^3)*Cf[z]^3*tS0[z]^3)*
        tS1[z]^5 + (((-323850774054667*z^16)/84257149236019200 + 
           (3016755036762559*z^17)/195039697305600 - (72114703656991349*z^18)/
            2708884684800 + (91983194659503427*z^19)/3583180800 - 
           (63523820169949310891*z^20)/4180377600 + 
           (27382848124804063567*z^21)/4838400 - (116065456579181458597*z^22)/
            89600 + (466199438984203424067*z^23)/2800 - 
           (1607495236381173937599*z^24)/175)*Cf[z]^8 + 
         ((1416666325*z^10)/13436928 - (348232678699*z^11)/1492992 + 
           (126315795834667*z^12)/622080 - (83332516266173*z^13)/960 + 
           (727113421627521*z^14)/40 - (7432650370365282*z^15)/5)*Cf[z]^6*
          tS0[z] + ((-14302225*z^4)/108 + 72280525*z^5 - 5860992600*z^6)*
          Cf[z]^4*tS0[z]^2)*tS1[z]^6 + 
       (((-188847248579*z^12)/1015831756800 + (1474122747371*z^13)/
            2090188800 - (545302361891051*z^14)/522547200 + 
           (2857883409710069*z^15)/3628800 - (6521396131418461*z^16)/20160 + 
           (96666430942710249*z^17)/1400 - (1051902019226755314*z^18)/175)*
          Cf[z]^7 + ((15738595*z^6)/2592 - (671056915*z^7)/72 + 
           (28006162285*z^8)/6 - 764817651000*z^9)*Cf[z]^5*tS0[z] - 
         4779600*Cf[z]^3*tS0[z]^2)*tS1[z]^7 + 
       (((16407695*z^8)/186624 - (569179639*z^9)/3456 + (33016696409*z^10)/
            288 - 35144211134*z^11 + 4003414585884*z^12)*Cf[z]^6 + 
         (-175750*z^2 + 68896800*z^3)*Cf[z]^4*tS0[z])*tS1[z]^8 + 
       ((-195625*z^4)/324 + (874000*z^5)/3 - 10908000*z^6)*Cf[z]^5*tS1[z]^9 - 
       14000*Cf[z]^4*tS1[z]^10)
 
Ff[9] = 28988077030404355191321669662061803219/
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     (54693493492925091909126898763819874331*z)/
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     (422250913937286064149663371658218133570373*z^4)/
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     (4203514098519779778211711407205168742447*z^7)/
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      678301257701523456 + ((-406902036364198427495455510004415863*z^48)/
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     (16773558202408609375799764241367419/
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       (57042102517077290989753950677518389289*z^5)/
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         z^6)/133821698131271614464000 - (10891299474332109838717796947867189*
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         (166683751693285246312853020796459217*z^44)/67375 - 
         (5847904242455149327815059846198561424*z^45)/67375)*Cf[z]^10)*
      tS0[z]^3 + (-1079381547472586561087/1112194369915453440 + 
       (53541609325511487756743*z)/12872620022169600 - 
       (471362770561815481231*z^2)/73574645760 + 
       (96461765293315574862497*z^3)/22992076800 - 
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         (2881405689471229342725200148309*z^35)/8750 - 
         (63001789124649170367976195253598*z^36)/4375)*Cf[z]^8)*tS0[z]^4 + 
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         (2709216322086975349*z^19)/1604898080686080 + 
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         (40747937747871473620893*z^25)/200 + (674112626102874937242942*z^26)/
          25 - (39201230497401296344057824*z^27)/25)*Cf[z]^6)*tS0[z]^5 + 
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         (21793230511903999809*z^17)/175 + (1739498195941662959352*z^18)/175)*
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       1052553600*Cf[z]^2*tS0[z]^4)*tS1[z]^6 + 
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         (1165969238740954774361145*z^29)/448 - (436517504135881573791050109*
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         (124484580126433*z^15)/6270566400 + (5130815331534157*z^16)/
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         (2282810393017580347*z^18)/201600 - (5357678608565066947*z^19)/
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         (5646990318586558208496*z^21)/175)*Cf[z]^7*tS0[z] + 
       ((-53797735*z^8)/864 + (44048259079*z^9)/432 - (247620399001*z^10)/4 + 
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       (-123334000*z^2 + 54460569600*z^3)*Cf[z]^3*tS0[z]^3)*tS1[z]^7 + 
     (((9304345795723*z^16)/2808571641200640 - (56039575956137*z^17)/
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         (3327395099363371*z^19)/418037760 + (5416331477270713*z^20)/
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         (8315218562836833251*z^22)/8960 + (13692139736813669259*z^23)/70 - 
         (551745475886850669468*z^24)/35)*Cf[z]^8 + 
       ((-1343945*z^10)/248832 - (523192865*z^11)/2592 + 
         (159314012723*z^12)/432 - (1979321647949*z^13)/8 + 
         73310283051969*z^14 - 8116997073578064*z^15)*Cf[z]^6*tS0[z] + 
       ((-29755375*z^4)/6 + 4369872000*z^5 - 959578531200*z^6)*Cf[z]^4*
        tS0[z]^2)*tS1[z]^8 + 
     (((920721841667*z^12)/304749527040 - (13569535735793*z^13)/1410877440 + 
         (20187296520163*z^14)/1632960 - (1502325781854167*z^15)/181440 + 
         (6176178618646583*z^16)/2016 - (20851932088997706*z^17)/35 + 
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       ((-16670965*z^6)/216 + (908211245*z^7)/9 - (131449346320*z^8)/3 + 
         6318055319040*z^9)*Cf[z]^5*tS0[z] - 19104000*Cf[z]^3*tS0[z]^2)*
      tS1[z]^9 + (((-97900325*z^8)/279936 + (1143975275*z^9)/1944 - 
         (13275245275*z^10)/36 + 101923569900*z^11 - 10475999244000*z^12)*
        Cf[z]^6 + (-1110000*z^2 + 487296000*z^3)*Cf[z]^4*tS0[z])*tS1[z]^10 + 
     ((-400625*z^4)/27 + (38980000*z^5)/3 - 2835792000*z^6)*Cf[z]^5*
      tS1[z]^11 - 40000*Cf[z]^4*tS1[z]^12 + 
     S2[z]^22*(((1079213737475*z^4)/1019215872 - (916943892575*z^5)/294912 + 
         (31477733506005*z^6)/16384)*Cf[z]^16 + (32512321325*Cf[z]^15*tS1[z])/
        98304) + S2[z]^21*(((350726632375*z^6)/12230590464 + 
         (13449352845625*z^7)/56623104 - (201307886977295*z^8)/393216 + 
         (1007327625163875*z^9)/4096)*Cf[z]^16 + (1435875925*Cf[z]^14*tS0[z])/
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        Cf[z]^15*tS1[z]) + S2[z]^20*(((-21710088633125*z^8)/990677827584 + 
         (797131299484135*z^9)/18345885696 + (41535665505635*z^10)/14155776 - 
         (4427706695451125*z^11)/98304 + (43109471910032721*z^12)/2048)*
        Cf[z]^16 + ((-498213625*z^2)/36864 + (53270506625*z^3)/4096)*Cf[z]^14*
        tS0[z] + ((1892798358125*z^4)/95551488 - (89795303512775*z^5)/
          1769472 + (59591408590295*z^6)/2048)*Cf[z]^15*tS1[z] + 
       (2655588125*Cf[z]^14*tS1[z]^2)/1152) + 
     S2[z]^19*(((194050325631805*z^10)/95105071448064 - 
         (12201816042211505*z^11)/1320903770112 + (1214415848712595*z^12)/
          95551488 - (2584282639965195*z^13)/524288 - 
         (30303463837934419*z^14)/16384 + (2558585746892840589*z^15)/2048)*
        Cf[z]^16 + ((1031274413575*z^4)/382205952 - (4811435873825*z^5)/
          884736 + (347367479095*z^6)/128)*Cf[z]^14*tS0[z] + 
       (((-1399117366145*z^6)/4586471424 + (318844250627095*z^7)/63700992 - 
           (2415546578264695*z^8)/294912 + (7251391067558325*z^9)/2048)*
          Cf[z]^15 + (11819133025*Cf[z]^13*tS0[z])/36864)*tS1[z] + 
       ((-845655120875*z^2)/884736 + (11703105301075*z^3)/12288)*Cf[z]^14*
        tS1[z]^2) + S2[z]^18*(((742600498365775*z^12)/30814043149172736 + 
         (70702870351765435*z^13)/190210142896128 - (51083766719404175*z^14)/
          36691771392 + (2617978900681875109*z^15)/1528823808 - 
         (14799970691160425*z^16)/18432 + (586669161504368961*z^17)/16384 + 
         (13018705844684580747*z^18)/256)*Cf[z]^16 + 
       ((-38381734885*z^6)/127401984 + (31097930393605*z^7)/31850496 - 
         (9451305983615*z^8)/9216 + (181402310355555*z^9)/512)*Cf[z]^14*
        tS0[z] + (6515534075*Cf[z]^12*tS0[z]^2)/36864 + 
       (((-250699416361325*z^8)/990677827584 + (3272206395960745*z^9)/
            9172942848 + (4853404320783005*z^10)/14155776 - 
           (35942296850113225*z^11)/49152 + (591075357712345035*z^12)/2048)*
          Cf[z]^15 + ((-541193625*z^2)/4096 + (394065370825*z^3)/3072)*
          Cf[z]^13*tS0[z])*tS1[z] + ((14161200451975*z^4)/95551488 - 
         (598569924540125*z^5)/1769472 + (740003359732365*z^6)/4096)*Cf[z]^14*
        tS1[z]^2 + (239402887075*Cf[z]^13*tS1[z]^3)/27648) + 
     S2[z]^17*(((-18838715763921235*z^14)/986049380773527552 + 
         (1953330662663391965*z^15)/31955304006549504 - 
         (8656043093944734455*z^16)/221911833378816 - 
         (35845056877114587919*z^17)/513684799488 + 
         (15905424287814087121*z^18)/132120576 - (44381721306172161955*z^19)/
          688128 + (1380605437509980695911*z^20)/143360 + 
         (11569506146602418742921*z^21)/8960)*Cf[z]^16 + 
       ((215970159885425*z^8)/11888133931008 - (1297366467565075*z^9)/
          13759414272 + (3480253513841825*z^10)/21233664 - 
         (4443984688284455*z^11)/36864 + (8331222079106673*z^12)/256)*
        Cf[z]^14*tS0[z] + ((-617788625*z^2)/9216 + (33879298325*z^3)/512)*
        Cf[z]^12*tS0[z]^2 + (((999665604388595*z^10)/31701690482688 - 
           (155163925638057365*z^11)/1320903770112 + 
           (206048992188642587*z^12)/1528823808 - (214644665280204565*z^13)/
            7077888 - (287952998576137015*z^14)/8192 + 
           (8384244233069663937*z^15)/512)*Cf[z]^15 + 
         ((13557377606975*z^4)/573308928 - (63266011010125*z^5)/1327104 + 
           (36811493504935*z^6)/1536)*Cf[z]^13*tS0[z])*tS1[z] + 
       (((-20940855517555*z^6)/3057647616 + (5037033760599935*z^7)/
            127401984 - (5205892482822215*z^8)/98304 + 
           (10628033570605365*z^9)/512)*Cf[z]^14 + 
         (160715459825*Cf[z]^12*tS0[z])/110592)*tS1[z]^2 + 
       ((-3133694855725*z^2)/884736 + (41158107322405*z^3)/12288)*Cf[z]^13*
        tS1[z]^3) + S2[z]^16*
      (((180369916510435265*z^16)/124242221977464471552 - 
         (9681194506097508509*z^17)/1150390944235782144 + 
         (2170411439023135577293*z^18)/119832390024560640 - 
         (120447186963101134961*z^19)/6849130659840 + 
         (2390011005639844419817*z^20)/428070666240 + 
         (927242081172596606891*z^21)/297271296 - 
         (3317787352344444297567*z^22)/1146880 + 
         (88164488179328696232093*z^23)/143360 + 
         (105027522155748002740239*z^24)/8960)*Cf[z]^16 + 
       ((14349200883655*z^10)/35664401793024 + (2846592739310555*z^11)/
          990677827584 - (6918339549017111*z^12)/573308928 + 
         (7238222977461509*z^13)/442368 - (30044602062640805*z^14)/3072 + 
         (570542378422593051*z^15)/256)*Cf[z]^14*tS0[z] + 
       ((367715759575*z^4)/47775744 - (2192568226325*z^5)/110592 + 
         (43950965215*z^6)/4)*Cf[z]^12*tS0[z]^2 + 
       (((-118015443339575*z^12)/124825406275584 + (2769994312635797657*z^13)/
            332867750068224 - (7723671640366928623*z^14)/385263599616 + 
           (17825365806265187575*z^15)/891813888 - (7881863569016467873*z^16)/
            1032192 - (4556346615040877541*z^17)/14336 + 
           (5755892282335805170833*z^18)/8960)*Cf[z]^15 + 
         ((-4561435093595*z^6)/1719926784 + (382338764953595*z^7)/47775744 - 
           (1808317247489915*z^8)/221184 + (1439148390762445*z^9)/512)*
          Cf[z]^13*tS0[z] + (8179291525*Cf[z]^11*tS0[z]^2)/4608)*tS1[z] + 
       (((-26075669033795*z^8)/27518828544 + (1220393394524701*z^9)/
            4586471424 + (40272779035334255*z^10)/10616832 - 
           (77150890576836733*z^11)/16384 + (1639369066263237999*z^12)/1024)*
          Cf[z]^14 + ((-171944222225*z^2)/331776 + (4726715794835*z^3)/9216)*
          Cf[z]^12*tS0[z])*tS1[z]^2 + ((1145643508945*z^4)/1990656 - 
         (526336251798475*z^5)/442368 + (912801902748505*z^6)/1536)*Cf[z]^13*
        tS1[z]^3 + (9730283985*Cf[z]^12*tS1[z]^4)/512) + 
     S2[z]^15*(((-169524458919992939*z^18)/23002559954684850733056 + 
         (3054820151050805618419*z^19)/11181799977971802439680 - 
         (61549376827741229580437*z^20)/51767592490610196480 + 
         (267568175205028656969071*z^21)/119832390024560640 - 
         (121503999490653241831319*z^22)/55477958344704 + 
         (44379793909840686528211*z^23)/40131624960 - 
         (41511878176925415949981*z^24)/212336640 - 
         (172499762005252360207033*z^25)/3440640 + 
         (211073502700589121240003*z^26)/10240 - 
         (1904383124840019075344523*z^27)/4480)*Cf[z]^16 + 
       ((-2382598390491755*z^12)/7988826001637376 + (420370088704264805*z^13)/
          499301625102336 - (178120836030587827*z^14)/288947699712 - 
         (586055611508125271*z^15)/1337720832 + (5875768610231414269*z^16)/
          6193152 - (7954147940349260003*z^17)/14336 + 
         (259852316101091926263*z^18)/2240)*Cf[z]^14*tS0[z] + 
       ((47858771425*z^6)/95551488 + (186415368085*z^7)/248832 - 
         (80837200677325*z^8)/36864 + (263677678099995*z^9)/256)*Cf[z]^12*
        tS0[z]^2 - (4424908925*Cf[z]^10*tS0[z]^3)/6912 + 
       (((-73141852408905191*z^14)/554652776685109248 + 
           (121893340326952399439*z^15)/539245755110522880 + 
           (762557993205518163937*z^16)/1664338750341120 - 
           (1190641259811021870997*z^17)/770527199232 + 
           (21154091384501007045361*z^18)/13377208320 - 
           (200940269377961940505*z^19)/294912 + (11048221357309876951431*
             z^20)/143360 + (143725567864739784126939*z^21)/8960)*Cf[z]^15 + 
         ((29344231755175*z^8)/110075314176 - (3277543194558115*z^9)/
            3439853568 + (3620236125451849*z^10)/2654208 - 
           (699779291133769*z^11)/768 + (60469631690710659*z^12)/256)*
          Cf[z]^13*tS0[z] + ((-7220274425*z^2)/9216 + (256501439395*z^3)/384)*
          Cf[z]^11*tS0[z]^2)*tS1[z] + 
       (((5974090652179417*z^10)/35664401793024 - (129260850447954821*z^11)/
            247669456896 + (2107515150802653521*z^12)/4586471424 + 
           (563753673685336897*z^13)/10616832 - (6035932176221614453*z^14)/
            24576 + (44226847085469102027*z^15)/512)*Cf[z]^14 + 
         ((760078374665*z^4)/10616832 - (103906575908125*z^5)/663552 + 
           (63346351352855*z^6)/768)*Cf[z]^12*tS0[z])*tS1[z]^2 + 
       (((-201622713601163*z^6)/5159780352 + (22243122732221371*z^7)/
            143327232 - (236530971499661197*z^8)/1327104 + 
           (196145680240162369*z^9)/3072)*Cf[z]^13 + 
         (3521899085*Cf[z]^11*tS0[z])/1024)*tS1[z]^3 + 
       ((-15085382187875*z^2)/1990656 + (188378801046155*z^3)/27648)*Cf[z]^12*
        tS1[z]^4) + S2[z]^14*
      (((-850789912156209550099*z^20)/130424514943063103656427520 + 
         (65194714611958043842427*z^21)/2415268795241909326970880 - 
         (701985177560141894039*z^22)/23007818884715642880 - 
         (252911495335037108764829*z^23)/8627932081768366080 + 
         (2273727368764224267477509*z^24)/19972065004093440 - 
         (336883961668838312828923*z^25)/2568423997440 + 
         (587999395814568737861131*z^26)/7644119040 - 
         (5598773118628554589709471*z^27)/247726080 + 
         (3002889602219715677466927*z^28)/1433600 + 
         (3057516614687266815141213*z^29)/11200 - 
         (163671149174766014587785201*z^30)/11200)*Cf[z]^16 + 
       ((22617202852533115*z^14)/485321179599470592 - 
         (26177790236112746369*z^15)/134811438777630720 + 
         (271814481615174540821*z^16)/832169375170560 - 
         (521225437904504538479*z^17)/1926317998080 + 
         (9064514590822478671*z^18)/95551488 + (30246963570255915079*z^19)/
          2580480 - (1398214105911931002939*z^20)/71680 + 
         (20023861911960513317499*z^21)/4480)*Cf[z]^14*tS0[z] + 
       ((-345714938791195*z^8)/1486016741376 + (837140793098129*z^9)/
          1719926784 - (658597459766983*z^10)/2654208 - 
         (572307233608381*z^11)/9216 + (7068584914602009*z^12)/128)*Cf[z]^12*
        tS0[z]^2 + ((1107836425*z^2)/5184 - (117777243995*z^3)/576)*Cf[z]^10*
        tS0[z]^3 + (((209112784233952771219*z^16)/12579524975218277744640 - 
           (2263519817591130388223*z^17)/29119270775968235520 + 
           (36012925682782159240513*z^18)/269622877555261440 - 
           (43065401560535133149413*z^19)/499301625102336 - 
           (32232353247271287357767*z^20)/1444738498560 + 
           (427733723612078601577547*z^21)/6688604160 - 
           (524128460869817459767093*z^22)/15482880 + 
           (59703170941866186170767*z^23)/10240 + (144710991301501034052885*
             z^24)/896)*Cf[z]^15 + ((-122791449370555*z^10)/4458050224128 + 
           (26561575221917365*z^11)/247669456896 - (203918924126646953*z^12)/
            1146617856 + (105137541493464293*z^13)/663552 - 
           (38788669809893085*z^14)/512 + (1972482940771851339*z^15)/128)*
          Cf[z]^13*tS0[z] + ((9833381444435*z^4)/71663616 - 
           (41831169922225*z^5)/165888 + (2720154013055*z^6)/24)*Cf[z]^11*
          tS0[z]^2)*tS1[z] + (((-851269272404535569*z^12)/86664496357048320 + 
           (28062433810675109123*z^13)/534966026895360 - 
           (122750584015328172827*z^14)/1238347284480 + 
           (2804345291332207695089*z^15)/34398535680 - 
           (298395578823638230381*z^16)/13271040 - 
           (88583033844471505567*z^17)/15360 + (4172647687356711154371*z^18)/
            1280)*Cf[z]^14 + ((-500524958995*z^6)/107495424 + 
           (3395072203445*z^7)/186624 - (4762494330862517*z^8)/221184 + 
           (4137192084762669*z^9)/512)*Cf[z]^12*tS0[z] + 
         (75732481445*Cf[z]^10*tS0[z]^2)/13824)*tS1[z]^2 + 
       (((-1408525063538575*z^8)/1671768834048 - (5015278319345765*z^9)/
            967458816 + (402219567149027621*z^10)/23887872 - 
           (10257082809362419501*z^11)/663552 + (7083196682366488117*z^12)/
            1536)*Cf[z]^13 + ((-139022323525*z^2)/124416 + 
           (7504425294055*z^3)/6912)*Cf[z]^11*tS0[z])*tS1[z]^3 + 
       ((405870123562475*z^4)/322486272 - (14245323795307595*z^5)/5971968 + 
         (15453656730325357*z^6)/13824)*Cf[z]^12*tS1[z]^4 + 
       (765875120365*Cf[z]^11*tS1[z]^5)/31104) + 
     S2[z]^13*(((6648060909088325459669*z^22)/12520753434534057951017041920 - 
         (17253691089983085868373*z^23)/4968552950211927758340096 + 
         (190851706455216959074481*z^24)/20127239960349244391424 - 
         (133624902987007953310679*z^25)/9706423591989411840 + 
         (12810899138688166923085507*z^26)/1198323900245606400 - 
         (2716783950860591622083453*z^27)/951050714480640 - 
         (21545144951056787678369917*z^28)/9631589990400 + 
         (433042889471088702173312453*z^29)/178362777600 - 
         (390655939966682032254443*z^30)/409600 + 
         (462556710695159657341954647*z^31)/2867200 - 
         (599017126147110795115745991*z^32)/89600 + 
         (68178251453319223963925319*z^33)/1600)*Cf[z]^16 + 
       ((-196963638686463269329*z^16)/50318099900873110978560 + 
         (609258735133152924047*z^17)/29119270775968235520 - 
         (911886004687853824487*z^18)/19258776968232960 + 
         (3667353893732239426517*z^19)/62412703137792 - 
         (123829335321313960967957*z^20)/2889476997120 + 
         (29818088660397104156839*z^21)/1672151040 - 
         (26311753189767969847951*z^22)/7741440 - 
         (193970087233339265035*z^23)/1792 + (62912886704231619681333*z^24)/
          560)*Cf[z]^14*tS0[z] + ((103646718326431*z^10)/4458050224128 - 
         (164858357509903*z^11)/1934917632 + (7960519431142225*z^12)/
          71663616 - (743331302734021*z^13)/12288 + (30410380226094893*z^14)/
          3072 + (76759897086804735*z^15)/64)*Cf[z]^12*tS0[z]^2 + 
       ((-690809290105*z^4)/53747712 + (5685311506175*z^5)/124416 - 
         (7772579105905*z^6)/288)*Cf[z]^10*tS0[z]^3 + 
       (((-901673273425022857937*z^18)/1207634397620954663485440 + 
           (89415308147669999529253*z^19)/16772699966957703659520 - 
           (115978161161194662231997*z^20)/7765138873591529472 + 
           (970745330341203885973193*z^21)/44937146259210240 - 
           (7070996349759286451858923*z^22)/416084687585280 + 
           (868787119269148729723157*z^23)/137594142720 + 
           (4228487336300155619381*z^24)/55738368 - 
           (2205615137841395615027153*z^25)/2580480 + 
           (38090507100990959094331269*z^26)/179200 - 
           (23755821660484885522532043*z^27)/5600)*Cf[z]^15 + 
         ((2163588566662020053*z^12)/1213302948998676480 - 
           (8394487651865903647*z^13)/936190547066880 + 
           (39992892341462036209*z^14)/2167107747840 - 
           (618255310824052214003*z^15)/30098718720 + 
           (31084561013467864601*z^16)/2322432 - (53083614936669669385*z^17)/
            10752 + (455739101538527011011*z^18)/560)*Cf[z]^13*tS0[z] + 
         ((-1703525740109*z^6)/214990848 + (94034476817509*z^7)/2985984 - 
           (936199043113811*z^8)/27648 + (715305676096657*z^9)/64)*Cf[z]^11*
          tS0[z]^2 - (25605253435*Cf[z]^9*tS0[z]^3)/5184)*tS1[z] + 
       (((-440463246557265571*z^14)/11647708310387294208 - 
           (158839792242064549211*z^15)/115552661809397760 + 
           (1035237511389758401919*z^16)/178322008965120 - 
           (2690808280209295890157*z^17)/288947699712 + 
           (144464205855179198180513*z^18)/20065812480 - 
           (31176925777760006001061*z^19)/12386304 + 
           (11169995872343998191591*z^20)/71680 + (723491092329869016770049*
             z^21)/8960)*Cf[z]^14 + ((738233146154725*z^8)/2229025112064 - 
           (3548941015763183*z^9)/2579890176 + (3190391408350547*z^10)/
            1327104 - (26235267240741197*z^11)/13824 + 
           (71025093265372847*z^12)/128)*Cf[z]^12*tS0[z] + 
         ((-110985251525*z^2)/41472 + (36682557155*z^3)/18)*Cf[z]^10*
          tS0[z]^2)*tS1[z]^2 + (((60204683004793085*z^10)/160489808068608 - 
           (2054531001664200943*z^11)/2229025112064 + 
           (18389358052618041643*z^12)/51597803520 + 
           (15623960822302878667*z^13)/19906560 - (458822956849297282771*
             z^14)/552960 + (299743533160995193543*z^15)/1280)*Cf[z]^13 + 
         ((40453729885015*z^4)/322486272 - (213549523293785*z^5)/746496 + 
           (32783292887657*z^6)/216)*Cf[z]^11*tS0[z])*tS1[z]^3 + 
       (((-3198857856392365*z^6)/30958682112 + (142493150923796675*z^7)/
            429981696 - (334705158778554889*z^8)/995328 + 
           (127709607135235057*z^9)/1152)*Cf[z]^12 + 
         (519752151205*Cf[z]^10*tS0[z])/124416)*tS1[z]^4 + 
       ((-28185046897775*z^2)/2985984 + (335029298968855*z^3)/41472)*Cf[z]^11*
        tS1[z]^5) + S2[z]^12*
      (((-8739688746011482823791*z^24)/540896548371871303483936210944 + 
         (192244582144603224093785*z^25)/1252075343453405795101704192 - 
         (1081267172574314711434867*z^26)/1811451596431431995228160 + 
         (288048768317868936043650917*z^27)/223635999559436048793600 - 
         (84940378196704008394141169*z^28)/49302469038676377600 + 
         (177597513591676780046549689*z^29)/119832390024560640 - 
         (106273740355179470221465037*z^30)/132090377011200 + 
         (1569072208278103919666450131*z^31)/6421059993600 - 
         (54969206879301798052835417*z^32)/2972712960 - 
         (162461614957644941444460697*z^33)/12902400 + 
         (2788334002681039601558535459*z^34)/716800 - 
         (215066091655649196326806857*z^35)/640 + 
         (60955049147886385812389928843*z^36)/5600)*Cf[z]^16 + 
       ((6882507855819638899*z^18)/75477149851309666467840 - 
         (3575351693730286043507*z^19)/4193174991739425914880 + 
         (18701306534940984439517*z^20)/6470949061326274560 - 
         (33045223765777292441431*z^21)/6419592322744320 + 
         (1140567958168811993136133*z^22)/208042343792640 - 
         (585451712939025444634637*z^23)/160526499840 + 
         (833937300456731460050399*z^24)/557383680 - 
         (447040713037642414290991*z^25)/1290240 + 
         (2959210033849301790057921*z^26)/89600 + 
         (4481663810651900734988061*z^27)/5600)*Cf[z]^14*tS0[z] + 
       ((12538699524929443*z^12)/40443431633289216 + (66135097587957197*z^13)/
          31206351568896 - (385450558355088881*z^14)/48157949952 + 
         (4911737735590003273*z^15)/501645312 - (257758653295462843*z^16)/
          48384 + (2110047821382902091*z^17)/1792 - 
         (23474679846391127583*z^18)/560)*Cf[z]^12*tS0[z]^2 + 
       ((-1841715253331*z^6)/322486272 + (24921626795761*z^7)/4478976 + 
         (5097034567411*z^8)/4608 - (153461999684831*z^9)/96)*Cf[z]^10*
        tS0[z]^3 + (41371044395*Cf[z]^8*tS0[z]^4)/10368 + 
       (((-47645291526410545267*z^20)/8694967662870873577095168 - 
           (46304204543391831051331*z^21)/603817198810477331742720 + 
           (14944888055451294374503*z^22)/29119270775968235520 - 
           (3452843143594742975922637*z^23)/2696228775552614400 + 
           (57350146523363193443242567*z^24)/33286775006822400 - 
           (39503538027464247992327893*z^25)/28894769971200 + 
           (337735636759558262964413333*z^26)/535088332800 - 
           (44915383233454541765057987*z^27)/309657600 + 
           (12251917396289600190750067*z^28)/2867200 + 
           (159813255271771107348926373*z^29)/44800 - 
           (1937125461005873903688244569*z^30)/11200)*Cf[z]^15 + 
         ((16473914431707571*z^14)/181995442349801472 - 
           (7889903355791214887*z^15)/101108579083223040 - 
           (4992959597077010693*z^16)/10402117189632 + 
           (126009916936889876483*z^17)/103195607040 - 
           (1865922063976532647777*z^18)/1433272320 + 
           (279091857878368554797*z^19)/368640 - (2170303223509224407809*
             z^20)/8960 + (4826227355437765485771*z^21)/140)*Cf[z]^13*
          tS0[z] + ((-241788968975225*z^8)/185752092672 + 
           (259857209139473*z^9)/214990848 + (976433983631039*z^10)/663552 - 
           (9787914575008373*z^11)/4608 + (10705089554706777*z^12)/16)*
          Cf[z]^11*tS0[z]^2 + ((80545566475*z^2)/31104 - (400016290105*z^3)/
            216)*Cf[z]^9*tS0[z]^3)*tS1[z] + 
       (((76660155952047633625*z^16)/1677269996695770365952 - 
           (935940698082949456145*z^17)/5823854155193647104 + 
           (18970456993990990685237*z^18)/134811438777630720 + 
           (1611118274377533830291*z^19)/9906778275840 - 
           (2499200975243490998906059*z^20)/5778953994240 + 
           (19044041600655194558119*z^21)/52254720 - 
           (362798171673101320007731*z^22)/2580480 + 
           (98795609334136586996533*z^23)/5120 + (21281927976549907940511747*
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         ((-242701887922115*z^10)/61917364224 + (8838674371350439*z^11)/
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           (800886089144320717*z^13)/138240 - (506252308730663127*z^14)/320 + 
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           (141719007292595*z^8)/2304 - (74289962002335*z^9)/16)*Cf[z]^8*
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           (12187356389757344269*z^15)/1872381094133760 + 
           (180922171678018097881*z^16)/17336861982720 - 
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           (45016927449622390937*z^18)/24883200 + (5809110731962683200557*
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           (498372991066552712470497*z^21)/2800)*Cf[z]^11 + 
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           (26620450162610881*z^11)/25798901760 - (246831173653490815*z^12)/
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           (2427891583468886969*z^14)/3840 + (1122552247723637067*z^15)/10)*
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           (3375354736603223*z^8)/69120 + (2098134968269799*z^9)/160)*
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       ((-440395505*z^2)/1728 + (566365682*z^3)/3)*Cf[z]^8*tS1[z]^8) + 
     S2[z]^6*(((-13483848863692526532572703473*z^36)/
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         (9068608815699560491405713881*z^37)/
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         (103372799594394885767469889509049*z^38)/
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           (3196365943654652457*z^17)/700 + (81093681382808534364*z^18)/175)*
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         1980000*Cf[z]^4*tS0[z])*tS1[z]^10 + ((115000*z^2)/3 - 15204000*z^3)*
        Cf[z]^5*tS1[z]^11)
 
Ff[10] = 24950386930815161025998282306922721525671433/
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00 + (21577865340210987983867705674528717264332685403*z^55)/
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         (2102064726730670686861641*z^26)/4000 - 
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       ((-357763847051*z^12)/846526464 + (2780559382187*z^13)/1959552 - 
         (51505453019009*z^14)/27216 + (1969913373804553*z^15)/1512 - 
         (62065851512264735*z^16)/126 + (682556752930607736*z^17)/7 - 
         (55468507397525399808*z^18)/7)*Cf[z]^7*tS0[z] + 
       ((190633085*z^6)/27 - 9264648360*z^7 + 4039503190880*z^8 - 
         585234937658880*z^9)*Cf[z]^5*tS0[z]^2 + 1006080000*Cf[z]^3*tS0[z]^3)*
      tS1[z]^9 + (((-9140519859563*z^14)/2925595459584 + 
         (9003111375244529*z^15)/812665405440 - (123936347258051837*z^16)/
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         (46045928435934093*z^18)/7168 + (3074888120688535799*z^19)/1680 - 
         (80343776729179674693*z^20)/280 + (133907400726327418626*z^21)/7)*
        Cf[z]^8 + ((44741425*z^8)/648 - (3173316005*z^9)/27 + 
         74644227230*z^10 - 20955643955040*z^11 + 2193336000714240*z^12)*
        Cf[z]^6*tS0[z] + (87960000*z^2 - 38700288000*z^3)*Cf[z]^4*tS0[z]^2)*
      tS1[z]^10 + (((545112425*z^10)/3359232 - (28323431225*z^11)/93312 + 
         (566072539315*z^12)/2592 - (2664551183165*z^13)/36 + 
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       ((7135000*z^4)/3 - 2088240000*z^5 + 457138944000*z^6)*Cf[z]^5*tS0[z])*
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         (32806399600*z^8)/3 - 1578450355200*z^9)*Cf[z]^6 + 
       5760000*Cf[z]^4*tS0[z])*tS1[z]^12 + ((500000*z^2)/3 - 72960000*z^3)*
      Cf[z]^5*tS1[z]^13 + S2[z]^25*(((23308721850575*z^4)/2038431744 - 
         (189069926127625*z^5)/4718592 + (1775696138794875*z^6)/65536)*
        Cf[z]^18 + (970491588275*Cf[z]^17*tS1[z])/196608) + 
     S2[z]^24*(((22169120494375*z^6)/24461180928 + (769203025347275*z^7)/
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       ((-4823900264375*z^2)/2359296 + (76503200947125*z^3)/32768)*Cf[z]^17*
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         (6540960225319045*z^9)/8153726976 - (4594664625818915*z^10)/
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         (5829514495402483215*z^12)/16384)*Cf[z]^18 + 
       ((-247560329125*z^2)/589824 + (3743866531925*z^3)/8192)*Cf[z]^16*
        tS0[z] + ((133571774504875*z^4)/509607936 - (631006697500775*z^5)/
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       (4341022686625*Cf[z]^16*tS1[z]^2)/98304) + 
     S2[z]^22*(((16399932776544155*z^10)/760840571584512 - 
         (1401649114641340805*z^11)/10567230160896 + 
         (10627681696788444805*z^12)/48922361856 - (3862914396689059645*z^13)/
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         (386724892727593177983*z^15)/16384)*Cf[z]^18 + 
       ((15968105069275*z^4)/254803968 - (16398495525875*z^5)/98304 + 
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       (((299350465810205*z^6)/36691771392 + (15549436379443085*z^7)/
            254803968 - (647084570184062105*z^8)/4718592 + 
           (2210311433434890855*z^9)/32768)*Cf[z]^17 + 
         (389746369675*Cf[z]^15*tS0[z])/24576)*tS1[z] + 
       ((-128742071495125*z^2)/7077888 + (1944826276180225*z^3)/98304)*
        Cf[z]^16*tS1[z]^2) + S2[z]^21*
      (((5468996802762207875*z^12)/2958148142320582656 + 
         (1830405006364974935*z^13)/2282521714753536 - 
         (94136092138624043375*z^14)/5283615080448 + 
         (1052126472232531276601*z^15)/36691771392 - 
         (438285207844446050555*z^16)/28311552 + (3447520942687494545*z^17)/
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       ((-6445328789695*z^6)/4586471424 + (2291639303819315*z^7)/127401984 - 
         (34962930710571095*z^8)/1179648 + (107277013961984205*z^9)/8192)*
        Cf[z]^16*tS0[z] + (205287612775*Cf[z]^14*tS0[z]^2)/73728 + 
       (((-517299889726468375*z^8)/95105071448064 + (1217809088885523875*z^9)/
            110075314176 + (109156263942805895*z^10)/84934656 - 
           (15112051817665176395*z^11)/1179648 + (24716615422901381481*z^12)/
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           (42721221961675*z^3)/6144)*Cf[z]^15*tS0[z])*tS1[z] + 
       ((23084886739392875*z^4)/9172942848 - (145461089862842125*z^5)/
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       (591877863322625*Cf[z]^15*tS1[z]^3)/2654208) + 
     S2[z]^20*(((-698206251066080825*z^14)/1972098761547055104 + 
         (1679586429017285210995*z^15)/1150390944235782144 - 
         (6034704553255416114599*z^16)/3550589334061056 - 
         (2635264832563671080327*z^17)/8218956791808 + 
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         (28032013780602266166065*z^19)/22020096 + 
         (182315867115077635656789*z^20)/917504 + 
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       ((-16641817551452975*z^8)/23776267862016 + (21850530749667325*z^9)/
          27518828544 + (75995889073931995*z^10)/42467328 - 
         (900771372431900065*z^11)/294912 + (2431390025855510085*z^12)/2048)*
        Cf[z]^16*tS0[z] + ((-502671147125*z^2)/442368 + (56457285325*z^3)/48)*
        Cf[z]^14*tS0[z]^2 + (((29498585427376525*z^10)/63403380965376 - 
           (5998147919366402195*z^11)/2641807540224 + 
           (78895254885387491993*z^12)/24461180928 - 
           (8414538114213565901*z^13)/7077888 - (80512963379256257399*z^14)/
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         ((1154583489232075*z^4)/1146617856 - (6601259646464525*z^5)/
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       (((-75551305964225*z^6)/6115295232 + (108128831323177525*z^7)/
            169869312 - (594260855032827465*z^8)/524288 + 
           (16760635512133513875*z^9)/32768)*Cf[z]^16 + 
         (23868374100025*Cf[z]^14*tS0[z])/221184)*tS1[z]^2 + 
       ((-160612978680875*z^2)/1769472 + (108403294879775*z^3)/1152)*Cf[z]^15*
        tS1[z]^3) + S2[z]^19*
      (((2824909218391314259295*z^16)/214690559577058606841856 - 
         (1891478716367277064595*z^17)/15530277747183058944 + 
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         (1318058103254027388353171*z^21)/35672555520 - 
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         (1139453406572778408211737*z^23)/81920 + 
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       ((6221960437281365*z^10)/71328803586048 - (333959931465028555*z^11)/
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         (3621540327918371*z^13)/2359296 - (4769329468315174357*z^14)/24576 + 
         (79522777626716702781*z^15)/1024)*Cf[z]^16*tS0[z] + 
       ((45105317975375*z^4)/286654464 - (530711776935725*z^5)/1327104 + 
         (1392754997473595*z^6)/6144)*Cf[z]^14*tS0[z]^2 + 
       (((57277351104840990035*z^12)/5176759249061019648 + 
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           (6342535104272815446337*z^14)/18492652781568 + 
           (7094697787461333317963*z^15)/16052649984 - 
           (5083239705527335883467*z^16)/24772608 + 
           (7860791573175739481*z^17)/28672 + (244160452903414605184233*z^18)/
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           (427531546998955*z^7)/1492992 - (92579887831237415*z^8)/221184 + 
           (89261020151530255*z^9)/512)*Cf[z]^15*tS0[z] + 
         (499688147875*Cf[z]^13*tS0[z]^2)/13824)*tS1[z] + 
       (((-1667411137745720275*z^8)/47552535724032 + (11859438674680685*z^9)/
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           (30919907610686300095*z^11)/294912 + (177208387148791917051*z^12)/
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           (406852705356125*z^3)/9216)*Cf[z]^14*tS0[z])*tS1[z]^2 + 
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       (1855080815162225*Cf[z]^14*tS1[z]^4)/2654208) + 
     S2[z]^18*(((554551873819833467215*z^18)/429381119154117213683712 - 
         (2692935548556535002245*z^19)/1277919997482491707392 - 
         (111127011897285253999115*z^20)/11832592569282330624 + 
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         (17382145864411016194198979*z^25)/13762560 + 
         (31674251133927426696142869*z^26)/57344 - 
         (15316266389963743167857037*z^27)/35840)*Cf[z]^18 + 
       ((-446420232050467835*z^12)/161773726533156864 + 
         (947449806607847215*z^13)/36985305563136 - 
         (10806192938302501333*z^14)/171228266496 + 
         (981413440562845543055*z^15)/16052649984 - 
         (147373853440074223205*z^16)/8257536 - (194984323738760959833*z^17)/
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       ((-67950664565*z^6)/107495424 + (3381753380629085*z^7)/95551488 - 
         (53356609114092095*z^8)/884736 + (53585434297078355*z^9)/2048)*
        Cf[z]^14*tS0[z]^2 - (9744595525*Cf[z]^12*tS0[z]^3)/7776 + 
       (((-47666072727347603315*z^14)/10353518498122039296 + 
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           (29096619075295591417757*z^16)/2662942000545792 - 
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           (6986345339100644335213487*z^18)/214035333120 - 
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           (1273841796296090905361559*z^20)/573440 + 
           (18610635875993493755983929*z^21)/35840)*Cf[z]^17 + 
         ((-20115669005784275*z^8)/2972033482752 + (1575587005269905*z^9)/
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           (95065303732751455*z^11)/2304 + (7553868407130078531*z^12)/512)*
          Cf[z]^15*tS0[z] + ((-1253802179875*z^2)/82944 + (4191531863225*z^3)/
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       (((358826027141931265*z^10)/95105071448064 - 
           (61058401864681444105*z^11)/3962711310336 + 
           (689104795040610201505*z^12)/36691771392 - 
           (46071539269135108609*z^13)/10616832 - (1065084816144800719417*
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         ((956955665343125*z^4)/143327232 - (2266885816796125*z^5)/147456 + 
           (51054878814743195*z^6)/6144)*Cf[z]^14*tS0[z])*tS1[z]^2 + 
       (((-5866745442488285*z^6)/13759414272 + (3994294328807485435*z^7)/
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           (52848274351130931635*z^9)/24576)*Cf[z]^15 + 
         (33104032567375*Cf[z]^13*tS0[z])/82944)*tS1[z]^3 + 
       ((-1481494104248375*z^2)/5308416 + (1907016653187625*z^3)/6912)*
        Cf[z]^14*tS1[z]^4) + S2[z]^17*
      (((-8243984780821959993025*z^20)/52169805977225241462571008 + 
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         (200412568888990498167274039*z^26)/122305904640 - 
         (262607173269106061943842347*z^27)/495452160 + 
         (172849538274265052014963161*z^28)/4587520 + 
         (842648740528590049555934451*z^29)/71680 - 
         (5711716660747060010116397277*z^30)/17920)*Cf[z]^18 + 
       ((-586290190374891995*z^14)/2588379624530509824 + 
         (9246378903981955*z^15)/427972821516288 + 
         (301839461476671194183*z^16)/110955916689408 - 
         (4897472470848994282831*z^17)/770527199232 + 
         (105004316986001102453179*z^18)/17836277760 - 
         (30075933267735043028383*z^19)/13762560 + 
         (400926637466493931131*z^20)/57344 + (2386245092114231379940257*
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       ((-2574297343773925*z^8)/1114512556032 + (38876471819976355*z^9)/
          10319560704 + (86597779070705*z^10)/62208 - 
         (265862608566445175*z^11)/55296 + (509225364023846581*z^12)/256)*
        Cf[z]^14*tS0[z]^2 + ((1115261875*z^2)/5184 - (8652569975*z^3)/24)*
        Cf[z]^12*tS0[z]^3 + 
       (((11323244756924398541555*z^16)/40254479920698488782848 - 
           (42951895165087599685297*z^17)/23295416620774588416 + 
           (9160662315868303139681333*z^18)/2156983020442091520 - 
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           (26951184792290323145513179*z^20)/23115815976960 + 
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           (21538500194007371222276611*z^22)/24772608 + 
           (48103438197462536693848459*z^23)/286720 + 
           (16257812609534217040829493*z^24)/1792)*Cf[z]^17 + 
         ((11425903473543445*z^10)/11888133931008 - 
           (1640781803286145945*z^11)/495338913792 + 
           (6535404813294488273*z^12)/2293235712 + (6261423474876522917*z^13)/
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           (231002399657244006945*z^15)/256)*Cf[z]^15*tS0[z] + 
         ((255395564200525*z^4)/107495424 - (5164631327996525*z^5)/995328 + 
           (3082036281475025*z^6)/1152)*Cf[z]^13*tS0[z]^2)*tS1[z] + 
       (((-48766191081434949065*z^12)/970642359198941184 + 
           (332372719269213551603*z^13)/374476218826752 - 
           (4355570993005370355907*z^14)/1733686198272 + 
           (130060126346365637579947*z^15)/48157949952 - 
           (311814288212057199559433*z^16)/297271296 - 
           (29835221973236569459625*z^17)/344064 + 
           (7860635463453129313248891*z^18)/71680)*Cf[z]^16 + 
         ((-398497958551805*z^6)/1146617856 + (43791999340229315*z^7)/
            23887872 - (1071620549217680525*z^8)/442368 + 
           (975961908004958805*z^9)/1024)*Cf[z]^14*tS0[z] + 
         (941390791075*Cf[z]^12*tS0[z]^2)/5184)*tS1[z]^2 + 
       (((-2980715254662915805*z^8)/26748301344768 + 
           (2989262983148636591*z^9)/30958682112 + 
           (59931947592575173771*z^10)/191102976 - 
           (620827541708073906869*z^11)/1327104 + (524802240814475605829*
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       ((54701774041708475*z^4)/1289945088 - (565850772794965175*z^5)/
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       (700371003391885*Cf[z]^13*tS1[z]^5)/497664) + 
     S2[z]^16*(((45868329383215853039083*z^22)/
          10016602747627246360813633536 - (2159844516042755099755273*z^23)/
          43474838314354367885475840 + (1204855903400324034299352901*z^24)/
          6440716787311758205255680 - (1745897473875830490377975641*z^25)/
          4969688879098578862080 + (13748680732878134115366271741*z^26)/
          38346364807859404800 - (47269205525409053133098505419*z^27)/
          266294200054579200 - (257935944218720793830419423*z^28)/
          616421759385600 + (9831322420687701352534507897*z^29)/
          203843174400 - (8537564024578636599307287767*z^30)/367001600 + 
         (86193318487892970969276622473*z^31)/22937600 + 
         (12939073286971124481707133297*z^32)/1433600 - 
         (82069640400298700403031130379*z^33)/17920)*Cf[z]^18 + 
       ((104143977038832243055*z^16)/4472719991188720975872 - 
         (143730693840626822719*z^17)/1294189812265254912 + 
         (25476845878770282678229*z^18)/179748585036840960 + 
         (12081808081999277641379*z^19)/138694895861760 - 
         (49008310243668066035657*z^20)/128421199872 + 
         (831795304763784108959677*z^21)/2229534720 - 
         (12486614506935457782779*z^22)/81920 + 
         (595495397195209157784957*z^23)/35840 + 
         (14590353678228749919718449*z^24)/4480)*Cf[z]^16*tS0[z] + 
       ((25930676166934315*z^10)/106993205379072 - (155837178356176505*z^11)/
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         (223128605062119595*z^13)/589824 - (2198558920043695031*z^14)/
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       ((376091824675*z^4)/3359232 - (765621884125*z^5)/15552 - 
         (4005168248935*z^6)/144)*Cf[z]^12*tS0[z]^3 + 
       (((4035019316390213746913*z^18)/966107518096763730788352 + 
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           (7261571447688684368458351*z^20)/31060555494366117888 + 
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           (486496873095654281530303873*z^23)/1926317998080 - 
           (16138347143457427399680391*z^24)/557383680 - 
           (57384128779022399830587749*z^25)/2580480 + 
           (1938742903125387576753193911*z^26)/286720 + 
           (173615738222099545604703*z^27)/560)*Cf[z]^17 + 
         ((-3850445370861845915*z^12)/107849151022104576 + 
           (33528392490140151923*z^13)/124825406275584 - 
           (341471193429446330113*z^14)/577895399424 + 
           (670462316542878929779*z^15)/1337720832 - 
           (1022401881656315355641*z^16)/12386304 - 
           (1458307554422833745415*z^17)/14336 + (368157424111348147324281*
             z^18)/8960)*Cf[z]^15*tS0[z] + 
         ((-530239828574435*z^6)/5159780352 + (7081823226653315*z^7)/
            11943936 - (170974674242054795*z^8)/221184 + 
           (150795986613089055*z^9)/512)*Cf[z]^13*tS0[z]^2 - 
         (14358986425*Cf[z]^11*tS0[z]^3)/648)*tS1[z] + 
       (((-138565923760280037487*z^14)/6655833320221310976 + 
           (82427846508558249883517*z^15)/1617737265331568640 + 
           (45517252577575005401225*z^16)/1997206500409344 - 
           (2101231261797986596166701*z^17)/11557907988480 + 
           (27155073514915198065183413*z^18)/128421199872 - 
           (46853923501578758483679433*z^19)/495452160 + 
           (10151531150891007393270651*z^20)/1146880 + 
           (229276472557707080688314493*z^21)/71680)*Cf[z]^16 + 
         ((-24651039587802575*z^8)/990677827584 - (47856195158359031*z^9)/
            1719926784 + (3229870198355114749*z^10)/15925248 - 
           (8259297859914721367*z^11)/36864 + (9521697724172923557*z^12)/128)*
          Cf[z]^14*tS0[z] + ((-76785305152325*z^2)/995328 + 
           (319157120076095*z^3)/4608)*Cf[z]^12*tS0[z]^2)*tS1[z]^2 + 
       (((9771255567599949527*z^10)/641959232274432 - 
           (472874766061571995777*z^11)/8916100448256 + 
           (2194563024011699316407*z^12)/41278242816 - 
           (1001729470267720579*z^13)/15925248 - (5527733769081963460165*
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         ((3425369169456955*z^4)/143327232 - (8493583365399125*z^5)/165888 + 
           (30331339233671525*z^6)/1152)*Cf[z]^13*tS0[z])*tS1[z]^3 + 
       (((-275447869025567503*z^6)/123834728448 + (4800242075688965927*z^7)/
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           (202287692526519126473*z^9)/36864)*Cf[z]^14 + 
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       ((-6527081891871125*z^2)/11943936 + (85482303203500705*z^3)/165888)*
        Cf[z]^13*tS1[z]^5) + S2[z]^15*
      (((19809563246799568259456861*z^24)/64907585804624556418072345313280 - 
         (629674422784612940117909*z^25)/834716895635603863401136128 - 
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         (172535644406343784677911221187*z^30)/8321693751705600 + 
         (366526055097267531510368983789*z^31)/51368479948800 - 
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         (1013107625812991366728862639473*z^33)/2477260800 + 
         (42983836853788861002450969291*z^34)/358400 - 
         (2451021283850470939003781695797*z^35)/358400 + 
         (3178618294804718278495507985007*z^36)/22400)*Cf[z]^18 + 
       ((-8781094112074338077*z^18)/8625959983006819024896 + 
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         (49387721103131085265333*z^20)/2156983020442091520 + 
         (248934629345881815111619*z^21)/8559456430325760 - 
         (162135006539035826594635*z^22)/13869489586176 - 
         (1220654099438767482246781*z^23)/107017666560 + 
         (14812768453977644716937963*z^24)/928972800 - 
         (62473921372828067981907317*z^25)/8601600 + 
         (25453648327773260056010499*z^26)/22400 + 
         (438417099452068156462082553*z^27)/11200)*Cf[z]^16*tS0[z] + 
       ((8920932946491421145*z^12)/2911927077596823552 + 
         (72615721338117642899*z^13)/2246857312960512 - 
         (150674864104268311013*z^14)/1300264648704 + 
         (4821037469180891296367*z^15)/36118462464 - 
         (6489158260878796460285*z^16)/111476736 + 
         (229901615223982220893*z^17)/129024 + (32047464514812970031869*z^18)/
          8960)*Cf[z]^14*tS0[z]^2 + ((-7951162822675*z^6)/161243136 + 
         (11677531647235*z^7)/139968 - (817823385781265*z^8)/20736 + 
         (167560789233185*z^9)/48)*Cf[z]^12*tS0[z]^3 + 
       (4508408075*Cf[z]^10*tS0[z]^4)/243 + 
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           (2021634401994654299276234371*z^27)/4032000 + 
           (656228532251468816826756849*z^28)/7000 - 
           (515932139408484245706669033*z^29)/50 + 
           (444401710963842276079006012128*z^30)/875)*Cf[z]^9*tS0[z]^2 + 
         ((-3151878624894469*z^14)/609499054080 + (798427719398407321*z^15)/
            42326323200 - (22750199357060973017*z^16)/783820800 + 
           (88818239623822171181*z^17)/3628800 - (2467143130449203895079*
             z^18)/201600 + (2034276232243958411179*z^19)/560 - 
           (2966674694346271646316*z^20)/5 + (7204621257308252888046576*z^21)/
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           (3872419692115*z^9)/72 + 38368816252596*z^10 - 12046279321839960*
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         (-24265670400*z^2 + 10098329978880*z^3)*Cf[z]^3*tS0[z]^5)*tS1[z]^5 + 
       (((-90274378880423051419139*z^28)/2054186110353243882588733440000 + 
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           (456268412615901984463620319*z^30)/352226699306111776849920000 + 
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           (12672348018828141680985413883941*z^32)/
            2989578466332738846720000 + (1419956730854003678346036054517*
             z^33)/314560023814471680000 - (512893456576700067741185576855413*
             z^34)/144173344248299520000 + (150944741516913317882298798574127*
             z^35)/71514555678720000 - (12059206180344445480498510425294611*
             z^36)/12713698787328000 + (47326857311364433498667481970190021*
             z^37)/147149291520000 - (64443484072865644240959909119768789*
             z^38)/794787840000 + (40714049242462393098983080578370053*z^39)/
            2759680000 - (126514282646453411912888063460730293*z^40)/
            68992000 + (3008632100459100360236145988786303011*z^41)/
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           (1475024332191210341351*z^23)/60665147449933824000 + 
           (107584960849842798212953*z^24)/1685142984720384000 - 
           (929118618924617116590163*z^25)/9361905470668800 + 
           (44036330628340093993393631*z^26)/433421549568000 - 
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           (32775008225983491072637*z^21)/201600 - 
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             z^23)/175 - (7611906527372599935115356*z^24)/25)*Cf[z]^8*
          tS0[z]^2 + ((673268339827*z^10)/839808 - (172435782960589*z^11)/
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            60 + (851805825270018174*z^14)/5 - (75439814203368651744*z^15)/5)*
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           127273182776640*z^6)*Cf[z]^4*tS0[z]^4)*tS1[z]^6 + 
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         ((-74725532140369139*z^18)/210642873090048000 + 
           (9186707427719204759*z^19)/5851190919168000 - 
           (13870708245559691047*z^20)/4643802316800 + 
           (1612273187314882377973*z^21)/501645312000 - 
           (90115778980847518530881*z^22)/41803776000 + 
           (360928119168443625423509*z^23)/387072000 - 
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           (9847761190559305745417313*z^25)/224000 - 
           (57053836611595613969118711*z^26)/14000 + 
           (132573626253787194382161267*z^27)/875)*Cf[z]^9*tS0[z] + 
         ((77611549085237*z^12)/14108774400 - (1727479286849521*z^13)/
            130636800 + (275071109443275409*z^14)/21772800 - 
           (1814700611140866227*z^15)/302400 + (4767936116377808539*z^16)/
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           (37023532739921115144*z^18)/175)*Cf[z]^7*tS0[z]^2 + 
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           1770000564120192*z^9)*Cf[z]^5*tS0[z]^3 - 11115388800*Cf[z]^3*
          tS0[z]^4)*tS1[z]^7 + 
       (((4923491438881163*z^20)/1819954423498014720 - 
           (1957784142947104163*z^21)/140428582060032000 + 
           (63126461081168974529*z^22)/1950396973056000 - 
           (11562813232797709886389*z^23)/260052929740800 + 
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           (3620678028215243947222723317*z^29)/56000 + 
           (23474082891287273725963521513*z^30)/7000)*Cf[z]^10 + 
         ((-15204596279269*z^14)/203166351360 + (16071693320656831*z^15)/
            56435097600 - (29641293665007191*z^16)/65318400 + 
           (357638978323931947*z^17)/907200 - (81547930073942172187*z^18)/
            403200 + (34393310739110203161*z^19)/560 - 
           (1791845758728028546596*z^20)/175 + (126714605200806512262528*
             z^21)/175)*Cf[z]^8*tS0[z] + ((4859920445*z^8)/5184 - 
           (14545960685*z^9)/8 + (3920762749220*z^10)/3 - 
           413029012995240*z^11 + 48462839622142560*z^12)*Cf[z]^6*tS0[z]^2 + 
         (-944548000*z^2 + 388616025600*z^3)*Cf[z]^4*tS0[z]^3)*tS1[z]^8 + 
       (((-1837475923643165*z^16)/2527714477080576 + (28397826846750467*z^17)/
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           (12422517732494023071163*z^20)/4180377600 + 
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           (170704537666066082303*z^22)/640 + (7031104762404193555347*z^23)/
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         ((49631969825*z^10)/3359232 - (3175187205395*z^11)/93312 + 
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         ((-183512500*z^4)/9 + 15527242000*z^5 - 2867913302400*z^6)*Cf[z]^5*
          tS0[z]^2)*tS1[z]^9 + (((60731764998917*z^12)/1218998108160 - 
           (20178857569313*z^13)/156764160 + (9514949665390957*z^14)/
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           (758058426345211639*z^16)/32256 - (2141550788008635789*z^17)/560 + 
           (18136279844554565979*z^18)/70)*Cf[z]^8 + 
         ((17025415*z^6)/324 - (1257792355*z^7)/9 + 92522177260*z^8 - 
           18066678039360*z^9)*Cf[z]^6*tS0[z] - 164016000*Cf[z]^4*tS0[z]^2)*
        tS1[z]^10 + (((1760820175*z^8)/559872 - (1324586405*z^9)/216 + 
           (13273811630*z^10)/3 - 1402030766080*z^11 + 164801067788880*z^12)*
          Cf[z]^7 + (-6800000*z^2 + 2761632000*z^3)*Cf[z]^5*tS0[z])*
        tS1[z]^11 + ((-15419375*z^4)/324 + 35282500*z^5 - 6291612000*z^6)*
        Cf[z]^6*tS1[z]^12 - 280000*Cf[z]^5*tS1[z]^13)
 
Ff[11] = 667860352699236836501556543374299261966845919161313/
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303832328090488525068136527126043936061635611153783073164754944000000 + 
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31861268875904650572038138230034800697412329266606979940352000000 + 
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     (12515866394227945339529291100142943179588822769/
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         28786068402404040*z^14 - 7693332582209074560*z^15)*Cf[z]^6*
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         (310041759557060100888*z^17)/35 + (25674781547872039832064*z^18)/35)*
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         283603699522880*z^8 + 41234168150369280*z^9)*Cf[z]^5*tS0[z]^3 - 
       46238976000*Cf[z]^3*tS0[z]^4)*tS1[z]^9 + 
     (((-119905265238807439*z^20)/7799804672134348800 + 
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         (1968851512500232343535802629*z^30)/125)*Cf[z]^10 + 
       ((14224751939615*z^14)/23219011584 - (99932457984254459*z^15)/
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         (17932201741223049227*z^17)/6531840 + (92119734873647061911*z^18)/
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         (8472618537954326979039*z^20)/140 - (141960525714996244396668*z^21)/
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         (1062854613805*z^9)/81 - 8409106467510*z^10 + 2385131577926880*
          z^11 - 252574364567738880*z^12)*Cf[z]^6*tS0[z]^2 + 
       (-5403600000*z^2 + 2381612544000*z^3)*Cf[z]^4*tS0[z]^3)*tS1[z]^10 + 
     (((232239968629663*z^16)/105321436545024 - (50733991848499111*z^17)/
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         (8685015654315656209*z^19)/627056640 + (80595418646490081889*z^20)/
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         (48328880124811718287*z^22)/70 - (12717193675023415032633*z^23)/
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       ((-8153730875*z^10)/186624 + (1343544135425*z^11)/15552 - 
         (86978229532465*z^12)/1296 + (458447118037615*z^13)/18 - 
         4683022337126340*z^14 + 329140946287391040*z^15)*Cf[z]^7*tS0[z] + 
       ((-1990805000*z^4)/9 + 194626480000*z^5 - 42707029248000*z^6)*Cf[z]^5*
        tS0[z]^2)*tS1[z]^11 + 
     (((1162761564781*z^12)/121899810816 - (59644286191429*z^13)/564350976 + 
         (4303979793438659*z^14)/20901888 - (16843598736868277*z^15)/96768 + 
         (1214284520672750099*z^16)/16128 - (922411101433519077*z^17)/56 + 
         (10189576182750545691*z^18)/7)*Cf[z]^8 + 
       ((-395032625*z^6)/108 + (43165394500*z^7)/9 - (6271900532000*z^8)/3 + 
         302948720640000*z^9)*Cf[z]^6*tS0[z] - 485760000*Cf[z]^4*tS0[z]^2)*
      tS1[z]^12 + (((-1372075375*z^8)/69984 + (32783773775*z^9)/972 - 
         (195125287975*z^10)/9 + 6170892177200*z^11 - 656123003827200*z^12)*
        Cf[z]^7 + (-28200000*z^2 + 12372480000*z^3)*Cf[z]^5*tS0[z])*
      tS1[z]^13 + ((-10356250*z^4)/27 + (1007600000*z^5)/3 - 73350720000*z^6)*
      Cf[z]^6*tS1[z]^14 - 640000*Cf[z]^5*tS1[z]^15 + 
     S2[z]^28*(((1109730072273125*z^4)/8153726976 - (680861387068375*z^5)/
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       (62731556256875*Cf[z]^19*tS1[z])/786432) + 
     S2[z]^27*(((1973987219253625*z^6)/97844723712 + (9343598993800075*z^7)/
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         (4198413890189492325*z^9)/65536)*Cf[z]^20 + 
       (8564994191875*Cf[z]^18*tS0[z])/393216 + 
       ((-311249634717125*z^2)/9437184 + (5318215031744325*z^3)/131072)*
        Cf[z]^19*tS1[z]) + S2[z]^26*
      (((-21334489291410025*z^8)/3962711310336 + (2228335438643054365*z^9)/
          146767085568 - (1315751052946413005*z^10)/226492416 - 
         (8218585504949113505*z^11)/786432 + (215420931859696887645*z^12)/
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         (357172795885975*z^3)/32768)*Cf[z]^18*tS0[z] + 
       ((11373903141075575*z^4)/3057647616 - (194348563788966125*z^5)/
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       (256940481013825*Cf[z]^18*tS1[z]^2)/294912) + 
     S2[z]^25*(((314349300293773565*z^10)/1521681143169024 - 
         (43243684339791489565*z^11)/21134460321792 + 
         (24470352868487251205*z^12)/6115295232 - (83309781868107162625*z^13)/
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         (3939747985513665961155*z^15)/8192)*Cf[z]^20 + 
       ((3565415695315775*z^4)/3057647616 - (27055142774189875*z^5)/7077888 + 
         (82719208215085075*z^6)/32768)*Cf[z]^18*tS0[z] + 
       (((24562537899440465*z^6)/73383542784 + (751826298045109235*z^7)/
            1019215872 - (365407286155376155*z^8)/147456 + 
           (44918452833107014785*z^9)/32768)*Cf[z]^19 + 
         (131388880690175*Cf[z]^17*tS0[z])/294912)*tS1[z] + 
       ((-5063898659869375*z^2)/14155776 + (82814232278117975*z^3)/196608)*
        Cf[z]^18*tS1[z]^2) + S2[z]^24*
      (((102910045784788657225*z^12)/1972098761547055104 - 
         (34877457386083020025*z^13)/507227047723008 - 
         (406701795529679479615*z^14)/1761205026816 + 
         (25691299625864237947901*z^15)/48922361856 - 
         (1366271418643654927067*z^16)/4194304 + 
         (5818541107548823538025*z^17)/262144 + 
         (416775981559345911593253*z^18)/16384)*Cf[z]^20 + 
       ((1857288554283935*z^6)/36691771392 + (144470808722541815*z^7)/
          509607936 - (68607571157326705*z^8)/98304 + 
         (733182674926256475*z^9)/2048)*Cf[z]^18*tS0[z] + 
       (20593505988025*Cf[z]^16*tS0[z]^2)/294912 + 
       (((-7102349785929438125*z^8)/63403380965376 + 
           (6878181872892726305*z^9)/24461180928 - (2228388584413919245*z^10)/
            37748736 - (379332834443728648835*z^11)/1572864 + 
           (4382900867223184505175*z^12)/32768)*Cf[z]^19 + 
         ((-656638407298375*z^2)/3538944 + (10377946796839325*z^3)/49152)*
          Cf[z]^17*tS0[z])*tS1[z] + ((267901190552213425*z^4)/6115295232 - 
         (675239056880905225*z^5)/4718592 + (3081018526444339355*z^6)/32768)*
        Cf[z]^18*tS1[z]^2 + (9787117643778475*Cf[z]^17*tS1[z]^3)/1769472) + 
     S2[z]^23*(((-74229583327503039445*z^14)/11832592569282330624 + 
         (36961491532954063155805*z^15)/1150390944235782144 - 
         (172575492208263542218633*z^16)/3550589334061056 + 
         (28690248367906087816901*z^17)/2739652263936 + 
         (980799441822270241489079*z^18)/28538044416 - 
         (609000517612025321440183*z^19)/22020096 + 
         (4226272869872552386870611*z^20)/917504 + 
         (54736482908850861520399401*z^21)/57344)*Cf[z]^20 + 
       ((-421227204054595175*z^8)/15850845241344 + (2108518439602815245*z^9)/
          36691771392 + (2482384259892625*z^10)/393216 - 
         (27979340154352582625*z^11)/393216 + (283699103180075183655*z^12)/
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         (264894353230625*z^3)/8192)*Cf[z]^16*tS0[z]^2 + 
       (((2403693034491205265*z^10)/380420285792256 - 
           (232623288404272096445*z^11)/5283615080448 + 
           (1851671887735874219921*z^12)/24461180928 - 
           (508579135844072786029*z^13)/14155776 - 
           (1480515567948337934973*z^14)/131072 + (9518343952014423558099*
             z^15)/1024)*Cf[z]^19 + ((18937921876145575*z^4)/764411904 - 
           (260535186755630575*z^5)/3538944 + (378721569626123345*z^6)/8192)*
          Cf[z]^17*tS0[z])*tS1[z] + 
       (((73538172037034915*z^6)/36691771392 + (5091729217946992135*z^7)/
            509607936 - (117969774720178241875*z^8)/4718592 + 
           (419670846445209394245*z^9)/32768)*Cf[z]^18 + 
         (581187807162025*Cf[z]^16*tS0[z])/147456)*tS1[z]^2 + 
       ((-23842732448266375*z^2)/10616832 + (373178671650628375*z^3)/147456)*
        Cf[z]^17*tS1[z]^3) + S2[z]^22*
      (((-1047151981585080256385*z^16)/214690559577058606841856 - 
         (792885395635993411051385*z^17)/496968887909857886208 + 
         (14924824049178372379769849*z^18)/2300781888471564288 - 
         (101939038913015895631823219*z^19)/10651768002183168 + 
         (134677819194861386525241301*z^20)/24656870375424 + 
         (7247568737893792426009403*z^21)/28538044416 - 
         (46273437933944634839775575*z^22)/33030144 + 
         (317722068810299991943474563*z^23)/917504 + 
         (1339228739047595570026493337*z^24)/57344)*Cf[z]^20 + 
       ((754045191907260475*z^10)/380420285792256 - 
         (58483888024198677005*z^11)/5283615080448 + 
         (409328798914316239181*z^12)/24461180928 - 
         (341842729103378936911*z^13)/56623104 - (525928537335131702181*z^14)/
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       ((3078256903527425*z^4)/764411904 - (10043076683879525*z^5)/884736 + 
         (56515881741088685*z^6)/8192)*Cf[z]^16*tS0[z]^2 + 
       (((949160622311394508705*z^12)/1294189812265254912 - 
           (2258902205781901694225*z^13)/15977652003274752 - 
           (214070395492767340850845*z^14)/36985305563136 + 
           (5175311773935227387743283*z^15)/513684799488 - 
           (2193278961740810027407541*z^16)/396361728 + 
           (164706377146348009357757*z^17)/917504 + 
           (26764003847277931417568613*z^18)/57344)*Cf[z]^19 + 
         ((5721049604240725*z^6)/18345885696 + (809325294334132625*z^7)/
            127401984 - (30424227501088010545*z^8)/2359296 + 
           (101380468410307984695*z^9)/16384)*Cf[z]^17*tS0[z] + 
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           (149446863766257661232382478193313347*z^35)/250300944875520000 + 
           (5409686830739600695673768720486165509*z^36)/20226338979840000 - 
           (46642416436077160969234352304789274033*z^37)/515022520320000 + 
           (27216094241348443641767001693161583737*z^38)/1192181760000 - 
           (5734093533575395967401262446318031731*z^39)/1379840000 + 
           (89093719994276592933460600016965540959*z^40)/172480000 - 
           (423152188494092986421648089437534802809*z^41)/10780000 + 
           (185567439574287101554376678230724013213*z^42)/134750)*Cf[z]^12*
          tS0[z] + ((-166165546277137027571*z^22)/311992186885373952000 + 
           (188145409081094634461867*z^23)/60665147449933824000 - 
           (1953123456942055946784979*z^24)/240734712102912000 + 
           (23579862161150176045648363*z^25)/1872381094133760 - 
           (5589647201989497970344905971*z^26)/433421549568000 + 
           (110219837348496558966927992057*z^27)/12039487488000 - 
           (659260002281086050972036052067*z^28)/143327232000 + 
           (11402983440113718485044240212347*z^29)/6967296000 - 
           (6521824722328203285702796679233*z^30)/16128000 + 
           (1480856265630755116678957256577*z^31)/22400 - 
           (22539031954077529831928385663927*z^32)/3500 + 
           (49591601885824906869598907164896*z^33)/175)*Cf[z]^10*tS0[z]^2 + 
         ((306524831610331919*z^16)/39007939461120 - 
           (1863393978433245037*z^17)/58047528960 + 
           (2125026192941450589437*z^18)/37623398400 - 
           (361471335405498916579*z^19)/6451200 + (142396236427898927063081*
             z^20)/4147200 - (447735674773689397007863*z^21)/33600 + 
           (448227446123076149795949*z^22)/140 - (76253300810394333786057528*
             z^23)/175 + (4503564849807451199432317464*z^24)/175)*Cf[z]^8*
          tS0[z]^3 + ((-8906932283975*z^10)/186624 + (2308002596460155*z^11)/
            20736 - (177673104109712383*z^12)/1728 + 
           (376444913796832851*z^13)/8 - 10672711593108540741*z^14 + 
           959991995917737413712*z^15)*Cf[z]^6*tS0[z]^4 + 
         ((142019365900*z^4)/3 - 38091048714000*z^5 + 7546346454706560*z^6)*
          Cf[z]^4*tS0[z]^5)*tS1[z]^6 + 
       (((141451231969159084007267*z^30)/42367588526035655078392627200000 - 
           (176401914887811416831669693*z^31)/
            3012806295184757694463475712000 + (32995668135122669492902155607*
             z^32)/104611329693915197724426240000 - 
           (1748831136341187873571292544287*z^33)/
            1937246846183614772674560000 + (59066545136795279209943203587461*
             z^34)/35874941595992866160640000 - 
           (2599161813073245719641973645991521*z^35)/
            1245657694305307852800000 + (269318524066083549518205918620231*
             z^36)/139804455028654080000 - 
           (42625715773973961117523800399135871*z^37)/32038520944066560000 + 
           (464937713358714345115702893443687321*z^38)/667469186334720000 - 
           (20568472104130140609876928300886205769*z^39)/74163242926080000 + 
           (286564297672089040874994707579419434913*z^40)/3433483468800000 - 
           (1979027952485313743964946317977452099*z^41)/105971712000 + 
           (1512846258901890997151130291686761209*z^42)/501760000 - 
           (16427503803536231880611859462818100153*z^43)/49280000 + 
           (983458655923531594156045326327383702667*z^44)/43120000 - 
           (9795362618857080510341447442065234437581*z^45)/13475000)*
          Cf[z]^13 + ((-464717029124120786491*z^24)/
            229314257360749854720000 + (510429520697693145525343*z^25)/
            38219042893458309120000 - (166699591119786879598765157*z^26)/
            4246560321495367680000 + (403030334954986140625353527*z^27)/
            5898000446521344000 - (64469469762250607740678053779*z^28)/
            819166728683520000 + (320205875510316900718181617283*z^29)/
            5056584744960000 - (46221851925550415594982723331993*z^30)/
            1264146186240000 + (67094883964462492187156708755883*z^31)/
            4389396480000 - (8967830613809270974320361311736319*z^32)/
            1950842880000 + (1095841377503245295719636649736341*z^33)/
            1128960000 - (2142905691555249653808603193946301*z^34)/15680000 + 
           (5639517245730264375441906442095903*z^35)/490000 - 
           (53318716404973930025900717407781553*z^36)/122500)*Cf[z]^11*
          tS0[z] + ((14737193926486709063*z^18)/210642873090048000 - 
           (1834137660224246519843*z^19)/5851190919168000 + 
           (19861848983893420827397*z^20)/32506616217600 - 
           (146582385077671904837549*z^21)/214990848000 + 
           (20096720107376345595606037*z^22)/41803776000 - 
           (36877239759913020203025517*z^23)/165888000 + 
           (6524836597942075051851334663*z^24)/96768000 - 
           (2896154839407337485902035941*z^25)/224000 + 
           (19881440503009385940299715507*z^26)/14000 - 
           (59373952019720967946954530879*z^27)/875)*Cf[z]^9*tS0[z]^2 + 
         ((-100083443657599*z^12)/156764160 + (21649140803361353*z^13)/
            13063680 - (15753196216168209*z^14)/8960 + 
           (9808852303160333167*z^15)/10080 - (33041712030353260527*z^16)/
            112 + (1614093878098840963158*z^17)/35 - 
           (100394879040711664437744*z^18)/35)*Cf[z]^7*tS0[z]^3 + 
         ((6048877225*z^6)/36 + 79612808675*z^7 - 170655415755900*z^8 + 
           45101371738046400*z^9)*Cf[z]^5*tS0[z]^4 + 459876614400*Cf[z]^3*
          tS0[z]^5)*tS1[z]^7 + 
       (((106008674364105985059439*z^26)/10461132969391519772442624000 - 
           (272141905274142223985989*z^27)/4151243241822031655731200 + 
           (5296827135099705745256130191*z^28)/26906206196994649620480000 - 
           (180991609848988249111787310119*z^29)/498263077722123141120000 + 
           (907842819257426853292020323989*z^30)/1977234435405250560000 - 
           (143339352668864007589331731717*z^31)/341744223403376640 + 
           (30702990927337413062359248500117*z^32)/107873807892480000 - 
           (239254112171030244518422559568151*z^33)/1648072065024000 + 
           (2866470578815135229853620567593547*z^34)/51502252032000 - 
           (2025269841707798406175812046970879*z^35)/127733760000 + 
           (5412007826764320580749562070126821*z^36)/1655808000 - 
           (11401012148305376153697120953477397*z^37)/24640000 + 
           (54218637182001112283567649070693287*z^38)/1347500 - 
           (531089130833026632948994113899241261*z^39)/336875)*Cf[z]^12 + 
         ((-265334781574063081*z^20)/1011085790832230400 + 
           (149105320489620081551*z^21)/105321436545024000 - 
           (2029211232335907892669*z^22)/585119091916800 + 
           (3275740696118897842159283*z^23)/650132324352000 - 
           (383898883377114962367179*z^24)/80263249920 + 
           (516742165323995818789498783*z^25)/167215104000 - 
           (19143645558575297210160773881*z^26)/13934592000 + 
           (40107167635631236620778851799*z^27)/96768000 - 
           (72663746789129468145450452607*z^28)/896000 + 
           (259465199124955559388615658503*z^29)/28000 - 
           (1630066340467324576934045392491*z^30)/3500)*Cf[z]^10*tS0[z] + 
         ((21588502811483*z^14)/5804752896 - (183870803470769753*z^15)/
            11287019520 + (1494566261673272653*z^16)/52254720 - 
           (968346607553559235*z^17)/36288 + (233272661928961563611*z^18)/
            16128 - (2569250029267317753129*z^19)/560 + 
           (27730313351992670273586*z^20)/35 - (2017340309763300721406112*
             z^21)/35)*Cf[z]^8*tS0[z]^2 + ((-45764095325*z^8)/864 + 
           (3794036303185*z^9)/36 - 77404208128770*z^10 + 24925315380179760*
            z^11 - 2974010207890224960*z^12)*Cf[z]^6*tS0[z]^3 + 
         (51048990000*z^2 - 21276393120000*z^3)*Cf[z]^4*tS0[z]^4)*tS1[z]^8 + 
       (((-31029016578036539827*z^22)/7862203109511423590400 + 
           (4869822490894903107703*z^23)/218394530819761766400 - 
           (123306019066856057527511*z^24)/2166612408926208000 + 
           (3240941818937779006212797*z^25)/37447621882675200 - 
           (150952723812647160462552191*z^26)/1733686198272000 + 
           (8785612005753521161243639993*z^27)/144473849856000 - 
           (40219785597902173530097382081*z^28)/1337720832000 + 
           (293122912919606394983422781881*z^29)/27869184000 - 
           (36588554565981298965814526263*z^30)/14336000 + 
           (183958674968858168874562419879*z^31)/448000 - 
           (2240395798915038770806689667377*z^32)/56000 + 
           (3290793319977713151466618691001*z^33)/1750)*Cf[z]^11 + 
         ((2701202071188401*z^16)/20061226008576 - (8034530699614405807*z^17)/
            14627977297920 + (291058134827534886629*z^18)/300987187200 - 
           (36177539663004144024647*z^19)/37623398400 + 
           (1236579468526856943438241*z^20)/2090188800 - 
           (1117531903176871252056923*z^21)/4838400 + 
           (125388653309224296162203*z^22)/2240 - (5403817984500755806668543*
             z^23)/700 + (81566164201396305470546916*z^24)/175)*Cf[z]^9*
          tS0[z] + ((-5014677556625*z^10)/3359232 + (324953611187555*z^11)/
            93312 - (8349905273013061*z^12)/2592 + (53196983583205991*z^13)/
            36 - 336227169566197458*z^14 + 30365692665711952608*z^15)*Cf[z]^7*
          tS0[z]^2 + ((5067835000*z^4)/3 - 1342441564000*z^5 + 
           262357099372800*z^6)*Cf[z]^5*tS0[z]^3)*tS1[z]^9 + 
       (((4438240005264430651*z^18)/7583143431241728000 - 
           (1094682749148689126747*z^19)/421285746180096000 + 
           (11845914815114505936961*z^20)/2340476367667200 - 
           (615708770943597903694877*z^21)/108355387392000 + 
           (580675574059353678099653*z^22)/143327232000 - 
           (52898505100280380267902127*z^23)/27869184000 + 
           (16640898533125195433877959*z^24)/28672000 - 
           (28071578048376687309962433*z^25)/256000 + 
           (1231468751503023734981031057*z^26)/112000 - 
           (2458649034150017997531782349*z^27)/7000)*Cf[z]^10 + 
         ((-92820107646607*z^12)/7524679680 + (3844916746154657*z^13)/
            117573120 - (3728995751053269941*z^14)/104509440 + 
           (29730417248450993033*z^15)/1451520 - (104992875932851504789*z^16)/
            16128 + (302964633090019207959*z^17)/280 - 
           (2551897068202301651649*z^18)/35)*Cf[z]^8*tS0[z] + 
         ((2137191425*z^6)/324 - (19600094225*z^7)/9 - 1949468362300*z^8 + 
           712342807272000*z^9)*Cf[z]^6*tS0[z]^2 + 10422432000*Cf[z]^4*
          tS0[z]^3)*tS1[z]^10 + (((-774137752439*z^14)/91424858112 + 
           (2120478255704399*z^15)/162533081088 + (20113041859765*z^16)/
            23514624 - (46430588317029965*z^17)/3483648 + 
           (19757672899649294579*z^18)/1935360 - (26837605105274769133*z^19)/
            8960 + (56574945968639562657*z^20)/280 + 
           (209683779049887212583*z^21)/5)*Cf[z]^9 + 
         ((-14417927525*z^8)/31104 + (302653020595*z^9)/324 - 
           (6232878279790*z^10)/9 + 224580246276080*z^11 - 
           26938227315725280*z^12)*Cf[z]^7*tS0[z] + 
         (680960000*z^2 - 280959264000*z^3)*Cf[z]^5*tS0[z]^2)*tS1[z]^11 + 
       (((-380798478275*z^10)/80621568 + (49799274181705*z^11)/4478976 - 
           (1298219204472371*z^12)/124416 + (313509245205253*z^13)/64 - 
           (9261803925984075*z^14)/8 + 111485963538516438*z^15)*Cf[z]^8 + 
         ((199735625*z^4)/18 - (26025685000*z^5)/3 + 1663411752000*z^6)*
          Cf[z]^6*tS0[z])*tS1[z]^12 + 
       (((59123575*z^6)/3888 - (127854475*z^7)/27 - (13996215050*z^8)/3 + 
           1663144581600*z^9)*Cf[z]^7 + 49680000*Cf[z]^5*tS0[z])*tS1[z]^13 + 
       ((3175000*z^2)/3 - 431760000*z^3)*Cf[z]^6*tS1[z]^14)
 
Ff[12] = 167042600195892653957850566060722992092531782684103398271/
      2603295139375589575966970322818683012782724121787566653440000000 + 
     (1533242029295547113322256381077003372285693695075598398747*z)/
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     (4038574148941963493829084653936906934049908553014791813101*z^2)/
      795116506689432258606166990315634279238550641621073920000000 + 
     (14752771190072986374089551370082275169548417445539121549029*z^3)/
      613515823062833532875128850552186943856906359275520000000 - 
     (282480179104434350367769875108041781428602743375810140971921*z^4)/
      4260526549047455089410617017723520443450738606080000000 + 
     (3515614880921990987192454529099986262511113201709382326183*z^5)/
      30345630691221190095517215225951000309478195200000 - 
     (12125471318239828269034822800039310577560025606775504699451*z^6)/
      89527323662371884359505219212364516163584000000 + 
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      1509885418909049637015465006557734895616000000 - 
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      24465735954544785784972812606259593216000000 + 
     (15318693438963240386290577518650333854300170136038728139207*z^9)/
      755115307239036598301630018711715840000 - 
     (16126953669792007714269389485584445089698690549364791077*z^10)/
      3891544564208599249132292407296000 + 
     (133389122159787058659628243709135411189451664148429299*z^11)/
      353893768239869310023604633600 + 
     ((-453239249151505208601080964286024537957011361377119368427*z^66)/39009\
14050084479170286730851861204273843952828232254675833901078368075597867909120\
000000 + (207978521081298642857739930264681725753685509285570945116927*z^67)/
        189627766323551070777827194187697429978525484705734602297481302420670\
341563023360000000 - 
       (21247842521944635195173677834151144698236412709694093646067*z^68)/430\
34623802548808727720405362131769693746705860960104007235226584211678822400000\
00 + (60193916394723065008848770158801581939346415390880604116911*z^69)/42693\
07916919524675369087833544818421998681137000010318178097875417825280000000 - 
       (22466412885152568609339339576664988730887091935588863565652641*z^70)/
        784024139063925056124878784246656469471980023615742635591348220948643\
840000000 + (355568139470951948149378607864376415345496802934540533596617*
         z^71)/80660919656782413181571891383400871344853911894623727941496730\
55027200000 - (27984039736623886529398975871112326459508769481501077120994849*
         z^72)/52513619568217716915085866786068275615139265556395656211911933\
9520000000 + (12611105480802640627043727618702690572187434995710000217478621*
         z^73)/24311860911211905979206419808364942414416326646479470468477747\
2000000 - (6202113898806026614788018360695299194026936892137001009824911*
         z^74)/
        150073215501308061600039628446697175397631645965922657212825600000 + 
       (141954385710803640889463557303143820859741034795721943455403561*z^75)/
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       (123010861327840363700962025167156983980935167038966742303344593*z^76)/
        8224235382323016493057727253365752544851271283030097920000000 + 
       (479069075161198453006577742583885076639135638078004670564716761*z^77)/
        69804466979593504184903549218382158945496901322014720000000 - 
       (2552290773027811800421528347348694076888579718541248420445075703*
         z^78)/969506485827687558123660405810863318687456962805760000000 + 
       (629846429771135934619633569335631650962912695463977538281264037*z^79)/
        748075992150993486206528090903443918740321730560000000 - 
       (3578661593122678554755633574513591589002489732382788705624899*z^80)/
        16033864715170470812039782469638287010037760000000 + 
       (4424196513365116973887152529439373167337257988532639611373219*z^81)/
        91101504063468584159316945850217539829760000000 - 
       (31713286109409199947155334774002041069418279893366952115845173*z^82)/
        3711542758141312687972171867971825696768000000 + 
       (3404329462548132582534536038885560926235733645795278373135519*z^83)/
        2863844720788049913558774589484433408000000 - 
       (38062554823726565757642061162099934465062597150281370043207*z^84)/
        301330463045880672722935036772352000000 + 
       (668403957515220290036675039694577771237330073446837725341989*z^85)/
        69054897781347654165672612593664000000 - 
       (255604140138673828461706005181180553298073408389678412452389*z^86)/
        532831001399287454982041763840000000 + 
       (43388402356643431517535557805584426845387071070157131304807*z^87)/
        3700215287495051770708623360000000)*Cf[z]^22 + 
     ((-330246128125*z^2)/16384 + (28983110952495375*z^3)/1048576)*Cf[z]^22*
      S2[z]^32 + (2239646759308375*Cf[z]^22*S2[z]^33)/46137344 + 
     (6960546849965320010275053349966644270078396011406218399/
        780659842931442581176963954128077292343304266318872576000000 - 
       (9432291734953380159893005184944208315185662484044893*z)/
        25815470996410138266433993192066048027225670182502400000 + 
       (169304742528387862975303009567963426914344310939315584791*z^2)/
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       (1944141612129393219901949905015883331497560821084472253353*z^3)/
        53256581863093188617632712721544005543134232576000000 + 
       (2580896225223201819943545155709910170556599003332716631627*z^4)/
        35222607052310309932296767672978839644930048000000 - 
       (12329585296169811325085755001762516086593849126148835579*z^5)/
        127169493838596426647024459108472324096000000 + 
       (114147651361915476948012629153614157150683564933762790100911*z^6)/
        1321149741545418432388531880738018033664000000 - 
       (1209881188152137516541799065148574695463460934887438269717*z^7)/
        23524746110139217100935396736788070400000 + 
       (1323783087736418682512248015031638530591167883812711945063*z^8)/
        67421009574913981991216965956403200000 - 
       (40764900161023973008650756907296274873535022312171676597*z^9)/
        9364029107626941943224578605056000 + 
       (528484246706895953402775940335225409885179022500036733*z^10)/
        1238628188839542585082616217600 + 
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         ((163886703790911527*z^12)/101583175680 - (342478353423214343*z^13)/
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         305523360000*z^6)*Cf[z]^7*tS1[z]^15 - 5600000*Cf[z]^6*tS1[z]^16)
 
Ff[13] = 678942529363134236010739182713526837271633694718403104681716861/
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      tS1[z]^13 + (((1114306454741405*z^16)/7522959753216 - 
         (498046455242955961*z^17)/835884417024 + (11604759838190304881*z^18)/
          11287019520 - (1262691833695292308171*z^19)/1254113280 + 
         (8696758292502864525629*z^20)/13934592 - 
         (20902055792255713601599*z^21)/80640 + 
         (16584871087722110658327*z^22)/224 - (491261908139120271347892*z^23)/
          35 + (48679804798763709357987552*z^24)/35)*Cf[z]^10 + 
       ((-1044325392875*z^10)/248832 + (1107160082769955*z^11)/124416 - 
         (78175392952943123*z^12)/10368 + (460721372270921603*z^13)/144 - 
         (1366976885625180045*z^14)/2 + 59460918958185608808*z^15)*Cf[z]^8*
        tS0[z] + ((-74844125000*z^4)/9 + 7310224000000*z^5 - 
         1603350478080000*z^6)*Cf[z]^6*tS0[z]^2)*tS1[z]^14 + 
     (((-118914112316081*z^12)/15237476352 + (8701746128336557*z^13)/
          564350976 - (4136122556332223*z^14)/435456 - 
         (47834894780280443*z^15)/72576 + (13786336010506677179*z^16)/4032 - 
         (10924053868399125963*z^17)/7 + (1715113877810402456676*z^18)/7)*
        Cf[z]^9 + ((-426751375*z^6)/3 + (1680565082000*z^7)/9 - 
         (244591951552000*z^8)/3 + 11840879637504000*z^9)*Cf[z]^7*tS0[z] - 
       11788800000*Cf[z]^5*tS0[z]^2)*tS1[z]^15 + 
     (((-215954356325*z^8)/279936 + (312623948395*z^9)/243 - 
         (2336915400710*z^10)/3 + 196222711624840*z^11 - 
         15635759454842400*z^12)*Cf[z]^8 + 
       (-684000000*z^2 + 299980800000*z^3)*Cf[z]^6*tS0[z])*tS1[z]^16 + 
     ((-254000000*z^4)/27 + (24712000000*z^5)/3 - 1799712000000*z^6)*Cf[z]^7*
      tS1[z]^17 - (32000000*Cf[z]^6*tS1[z]^18)/3 + 
     S2[z]^34*(((349519954476492875*z^4)/14495514624 - 
         (672266374376176125*z^5)/4194304 + (287628874104205622925*z^6)/
          2097152)*Cf[z]^24 + (110190971805795375*Cf[z]^23*tS1[z])/4194304) + 
     S2[z]^33*(((527190272311863125*z^6)/57982058496 - 
         (8772615401182435375*z^7)/7247757312 - (551678399522736517425*z^8)/
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       (60918743101011125*Cf[z]^22*tS0[z])/6291456 + 
       ((-182059993882424375*z^2)/16777216 + (31982489929044808875*z^3)/
          2097152)*Cf[z]^23*tS1[z]) + 
     S2[z]^32*(((-36015696039498322625*z^8)/21134460321792 + 
         (4929954891383910000125*z^9)/782757789696 - 
         (906952641843986665075*z^10)/226492416 - 
         (14478555929314299988275*z^11)/4194304 + 
         (5837929326900204677415*z^12)/2048)*Cf[z]^24 + 
       ((-12754849720425625*z^2)/3145728 + (2898056062874990625*z^3)/524288)*
        Cf[z]^22*tS0[z] + ((7279473100709702375*z^4)/8153726976 - 
         (380341834284798044125*z^5)/75497472 + (2158817682834939150675*z^6)/
          524288)*Cf[z]^23*tS1[z] + (307477464007226125*Cf[z]^22*tS1[z]^2)/
        786432) + S2[z]^31*(((-84468888736533650375*z^10)/3043362286338048 - 
         (3075971936117868745625*z^11)/5283615080448 + 
         (163519059108013080259225*z^12)/97844723712 - 
         (79258015382393367982175*z^13)/67108864 - 
         (63557199640982474773295*z^14)/524288 + 
         (32351577584735456561093175*z^15)/131072)*Cf[z]^24 + 
       ((2028538708268580875*z^4)/5435817984 - (7822632165232139875*z^5)/
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       (((71766074844506799875*z^6)/293534171136 + (2855495441916996625*z^7)/
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           (44861211329777922136125*z^9)/65536)*Cf[z]^23 + 
         (145138979751763625*Cf[z]^21*tS0[z])/524288)*tS1[z] + 
       ((-2267957935182623125*z^2)/14155776 + (42671992568752922125*z^3)/
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     S2[z]^30*(((1448840640891977767603375*z^12)/47330370277129322496 - 
         (6143657936671569912151375*z^13)/73040694872113152 - 
         (967370684591286798155375*z^14)/42268920643584 + 
         (260014191830584557999067295*z^15)/1174136684544 - 
         (5045663905301794452908935*z^16)/28311552 + 
         (18148591132831390398649825*z^17)/1048576 + 
         (259759618132370360609193273*z^18)/16384)*Cf[z]^24 + 
       ((23187084875997902125*z^6)/293534171136 + (86015136938375856625*z^7)/
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         (15705017935107657989325*z^9)/65536)*Cf[z]^22*tS0[z] + 
       (79734255439506625*Cf[z]^20*tS0[z]^2)/1572864 + 
       (((-76335533939546659278875*z^8)/1521681143169024 + 
           (600827035524037124433875*z^9)/3522410053632 - 
           (508747079992858838355725*z^10)/5435817984 - 
           (3954463255621332471100925*z^11)/37748736 + 
           (20474112655345299313007625*z^12)/262144)*Cf[z]^23 + 
         ((-3250962534747378125*z^2)/28311552 + (14837339513069211125*z^3)/
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       ((2152051712663981455375*z^4)/146767085568 - 
         (48726673351304244502375*z^5)/679477248 + 
         (88020058398448904978675*z^6)/1572864)*Cf[z]^22*tS1[z]^2 + 
       (148763087889531515125*Cf[z]^21*tS1[z]^3)/42467328) + 
     S2[z]^29*(((-232391142597482954496125*z^14)/126214320739011526656 + 
         (578617467918107620061120275*z^15)/36812510215545028608 - 
         (238626380353086361312061375*z^16)/7101178668122112 + 
         (636416381666628180732213485*z^17)/32875827167232 + 
         (5877255293649820023569128765*z^18)/456608710656 - 
         (5788727344541008132869808705*z^19)/352321536 + 
         (11564939822268802998820042845*z^20)/3670016 + 
         (347344218981795340019191588821*z^21)/458752)*Cf[z]^24 + 
       ((-27406674728655158565625*z^8)/1521681143169024 + 
         (100460482704526358223125*z^9)/1761205026816 - 
         (71893632602795848314625*z^10)/2717908992 - 
         (370486230711758672234125*z^11)/9437184 + 
         (3520994352063396182778165*z^12)/131072)*Cf[z]^22*tS0[z] + 
       ((-75414653125461875*z^2)/3538944 + (5337661447288513625*z^3)/196608)*
        Cf[z]^20*tS0[z]^2 + (((467968541760641015125*z^10)/4057816381784064 - 
           (3012373858864648556993275*z^11)/169075682574336 + 
           (548441758288805015689895*z^12)/12230590464 - 
           (26387082591998031098757935*z^13)/905969664 - 
           (4526281986512794755144425*z^14)/1048576 + 
           (844611261632807859515963745*z^15)/131072)*Cf[z]^23 + 
         ((847379837516409685625*z^4)/73383542784 - 
           (8635906669647331275625*z^5)/169869312 + 
           (938819828289866871275*z^6)/24576)*Cf[z]^21*tS0[z])*tS1[z] + 
       (((1131301063960099139875*z^6)/391378894848 + 
           (9461369708773241003875*z^7)/5435817984 - 
           (14543905833406916951875*z^8)/1048576 + 
           (2325416347850588723378625*z^9)/262144)*Cf[z]^22 + 
         (50361087082852664375*Cf[z]^20*tS0[z])/14155776)*tS1[z]^2 + 
       ((-160895563768141296875*z^2)/113246208 + (8750106325146919170625*z^3)/
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     S2[z]^28*(((-388701786888269565605141575*z^16)/
          1717524476616468854734848 + (9027293686203996613621615*z^17)/
          70995555415693983744 + (45197207412789894484264264159*z^18)/
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          12173449145352192 + (127192182277422165046050177095*z^20)/
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         (491537423197623100495098548825*z^22)/528482304 + 
         (1967703171721232273937461276349*z^23)/7340032 + 
         (12042075749378080356142799606703*z^24)/458752)*Cf[z]^24 + 
       ((2660916572498692173125*z^10)/9130086859014144 - 
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         (8926648850019900850380065*z^12)/587068342272 - 
         (1376180123204388550564055*z^13)/150994944 - 
         (5806482194435489333934865*z^14)/3145728 + 
         (142752460852620057433634865*z^15)/65536)*Cf[z]^22*tS0[z] + 
       ((42732976179397565125*z^4)/18345885696 - (396045264043799078375*z^5)/
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       (((30850950922506364914977675*z^12)/41414073992488157184 - 
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           (95288154485907498869397275*z^14)/73970611126272 + 
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           (13801161538019473764606303895*z^16)/3170893824 + 
           (2415811251724447148057515*z^17)/7168 + 
           (90271900967299742256979808511*z^18)/229376)*Cf[z]^23 + 
         ((766255900310997368375*z^6)/440301256704 + 
           (11476182793522601965475*z^7)/6115295232 - 
           (553627548755005659772375*z^8)/56623104 + 
           (778732761652149822479675*z^9)/131072)*Cf[z]^21*tS0[z] + 
         (2200411877269299625*Cf[z]^19*tS0[z]^2)/1769472)*tS1[z] + 
       (((-250206884421048780705025*z^8)/380420285792256 + 
           (903825763949599671830015*z^9)/440301256704 - 
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           (53887507148961385593200695*z^11)/37748736 + 
           (252566236580272733391280995*z^12)/262144)*Cf[z]^22 + 
         ((-123874610059865525875*z^2)/84934656 + (1089472131874973658475*
             z^3)/589824)*Cf[z]^20*tS0[z])*tS1[z]^2 + 
       ((7815634083869466738125*z^4)/55037657088 - 
         (155772163590333416179625*z^5)/254803968 + 
         (537044989649177655206075*z^6)/1179648)*Cf[z]^21*tS1[z]^3 + 
       (447385184291544089375*Cf[z]^20*tS1[z]^4)/21233664) + 
     S2[z]^27*(((1673986517960077863606235*z^18)/53672639894264651710464 - 
         (52734876247024048126237864523*z^19)/286254079436078142455808 + 
         (119381573507890859881870833139*z^20)/378642962217034579968 - 
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         (1623420900973155152224970423123*z^24)/10871635968 - 
         (4356538687835586361382222356121*z^25)/176160768 + 
         (269884007848800279911677340115531*z^26)/18350080 + 
         (701483690528946052655008591874871*z^27)/1146880)*Cf[z]^24 + 
       ((3234844161589969208901475*z^12)/13804691330829385728 - 
         (15156364939633016823438305*z^13)/31955304006549504 - 
         (23206759710991179841370845*z^14)/36985305563136 + 
         (700934402216317765652244595*z^15)/342456532992 - 
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         (140889125751006902456609425*z^17)/1835008 + 
         (938359512254570100735680793*z^18)/7168)*Cf[z]^22*tS0[z] + 
       ((58598933640932363125*z^6)/220150628352 + (345558462820223691025*z^7)/
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         (67400203673041973661025*z^9)/65536)*Cf[z]^20*tS0[z]^2 + 
       (381826187047068125*Cf[z]^18*tS0[z]^3)/2654208 + 
       (((-9130831519112995226393905*z^14)/165656295969952628736 + 
           (10879958148366596407622228509*z^15)/27609382661658771456 - 
           (64915769295111242932078901213*z^16)/85214144017465344 + 
           (70553777417455472112774113213*z^17)/197254963003392 + 
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           (29622189023058798938590684613*z^19)/75497472 + 
           (505654011531565839765767759097*z^20)/7340032 + 
           (8174849778094206387870283341033*z^21)/458752)*Cf[z]^23 + 
         ((-28337681512957280333225*z^8)/63403380965376 + 
           (142731816557696080720805*z^9)/110075314176 - 
           (155840314142268252618005*z^10)/339738624 - 
           (1598868918095752124027425*z^11)/1572864 + 
           (10370643694426411437903735*z^12)/16384)*Cf[z]^21*tS0[z] + 
         ((-10971119263022187125*z^2)/21233664 + (186855556852609464325*z^3)/
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       (((9496327890679747471315*z^10)/760840571584512 - 
           (30433810617907596374192905*z^11)/126806761930752 + 
           (628586830385375124395633635*z^12)/1174136684544 - 
           (286807066778678564092923455*z^13)/905969664 - 
           (411139607894013563799720995*z^14)/6291456 + 
           (9899512683071987533304783205*z^15)/131072)*Cf[z]^22 + 
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           (26315649262688009568125*z^5)/42467328 + 
           (43692610150284989767925*z^6)/98304)*Cf[z]^20*tS0[z])*tS1[z]^2 + 
       (((4317663585017830895555*z^6)/220150628352 + 
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           (38813623726860963332225195*z^8)/339738624 + 
           (53948948189160399113741455*z^9)/786432)*Cf[z]^21 + 
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       ((-179113437939384395125*z^2)/21233664 + (9379966400226905726425*z^3)/
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     S2[z]^26*(((1555103376448575468202103767*z^20)/
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         (4189112534010195642418777202671*z^22)/95418026478692714151936 + 
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         (169155387344271249027822239860639*z^27)/12683575296 + 
         (50777209562322879534802580465287*z^28)/73400320 + 
         (499956501795956108571095655016995*z^29)/917504 + 
         (588961838575071910305009375459687*z^30)/81920)*Cf[z]^24 + 
       ((-1689769969863234014064385*z^14)/82828147984976314368 + 
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         (8259607027229543280176800759*z^17)/98627481501696 + 
         (1301342484472325679662117551*z^18)/9512681472 - 
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         (73392853194177060875573252463*z^20)/3670016 + 
         (1342200382671323209288639689009*z^21)/229376)*Cf[z]^22*tS0[z] + 
       ((-2506946054748119111075*z^8)/31701690482688 + 
         (1949480055946972380265*z^9)/9172942848 - 
         (3042219992196790925945*z^10)/56623104 - 
         (145775672916717145991705*z^11)/786432 + 
         (3516580940483190610107495*z^12)/32768)*Cf[z]^20*tS0[z]^2 + 
       ((-161418481003830125*z^2)/2654208 + (5308890063068042575*z^3)/73728)*
        Cf[z]^18*tS0[z]^3 + (((-5136114587278067610715986427*z^16)/
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            2981813327459147317248 + (263252020392719757635230630661*z^18)/
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            295882444505088 - (1391179242600635001335657170585*z^21)/
            342456532992 - (17302238623111093745690109855091*z^22)/
            792723456 + (21151124179536247856996747960905*z^23)/3670016 + 
           (668829593012360734686354868900233*z^24)/1146880)*Cf[z]^23 + 
         ((167366969284554334555*z^10)/11888133931008 - 
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           (11206731230129987727318115*z^12)/32614907904 - 
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           (10040069001360409214817235*z^14)/196608 + 
           (1595267204886825253222303665*z^15)/32768)*Cf[z]^21*tS0[z] + 
         ((92401597739904916225*z^4)/1528823808 - (383710361529676129375*z^5)/
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        tS1[z] + (((488342982466147656327202439*z^12)/62121110988732235776 - 
           (1457111669041388866809984407*z^13)/95865912019648512 - 
           (20447906166358563174014423017*z^14)/887647333515264 + 
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           (112027393978556757161387813249*z^16)/2378170368 + 
           (28576853562762827377338885943*z^17)/11010048 + 
           (2006206850201264454733319838561*z^18)/458752)*Cf[z]^22 + 
         ((592992950184762233735*z^6)/36691771392 + 
           (63399215110071370029535*z^7)/2038431744 - 
           (722713758460503307838075*z^8)/6291456 + 
           (8598920610465606907168735*z^9)/131072)*Cf[z]^20*tS0[z] + 
         (3978357664224306325*Cf[z]^18*tS0[z]^2)/294912)*tS1[z]^2 + 
       (((-4335560506750805441770225*z^8)/855945643032576 + 
           (57225449247186819207743405*z^9)/3962711310336 - 
           (58834485572842624106501795*z^10)/12230590464 - 
           (1961352772742796467668960295*z^11)/169869312 + 
           (2779978667133564411101017025*z^12)/393216)*Cf[z]^21 + 
         ((-58208215086654773375*z^2)/5308416 + (1971580359905366749675*z^3)/
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       ((149720341826849214840125*z^4)/165112971264 - 
         (664586987316115439209175*z^5)/191102976 + 
         (2185232933870511666279335*z^6)/884736)*Cf[z]^20*tS1[z]^4 + 
       (1430226516947233614175*Cf[z]^19*tS1[z]^5)/15925248) + 
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           (72645720190970820729419735435571923*z^33)/2317601341440000 - 
           (3742253423196328294510493989826968249*z^34)/294298583040000 + 
           (105608532494093583373766319054699542311*z^35)/28612362240000 - 
           (5848077909539267096353348969213513169*z^36)/8279040000 + 
           (51714538646523829524052212029644217313*z^37)/689920000 - 
           (23925483424126451566643581345907924973*z^38)/8624000 + 
           (434944249437409641832074286227082967871*z^39)/5390000)*Cf[z]^13 + 
         ((63629466725981972441*z^20)/606651474499338240 - 
           (25383468605504250396181*z^21)/50554289541611520 + 
           (7424722883035593946197353*z^22)/7021429103001600 - 
           (250829603848194327054451867*z^23)/195039697305600 + 
           (1794817527578661826759493003*z^24)/1805923123200 - 
           (8433303867382441136218742003*z^25)/16721510400 + 
           (33316001275040391150806159081*z^26)/199065600 - 
           (683402464823834322113252493787*z^27)/19353600 + 
           (214656676890302799619588631739*z^28)/44800 - 
           (1596536283969108477884975759811*z^29)/2800 + 
           (12231433378978758166114918857663*z^30)/175)*Cf[z]^11*tS0[z] + 
         ((-66836945310215075*z^14)/60949905408 + (43650694379305574227*z^15)/
            13544423424 - (41764946680771123699*z^16)/10450944 + 
           (2367337205128290180503*z^17)/870912 - (178430993719082592758701*
             z^18)/161280 + (1860725006956305070066043*z^19)/6720 - 
           (2936211314296111281933309*z^20)/70 + (114595037356697023292044812*
             z^21)/35)*Cf[z]^9*tS0[z]^2 + ((-37105518200375*z^8)/23328 + 
           (34830333921250*z^9)/9 - (9772331019668500*z^10)/3 + 
           1158942549155244000*z^11 - 149343813147272112000*z^12)*Cf[z]^7*
          tS0[z]^3 + (3176402400000*z^2 - 1336833642240000*z^3)*Cf[z]^5*
          tS0[z]^4)*tS1[z]^11 + 
       (((-128317026413146606937*z^22)/873578123279047065600 + 
           (148329618873521907849821*z^23)/145596353879841177600 - 
           (26532965278042653308517251*z^24)/8666449635704832000 + 
           (737118875630308723315037011*z^25)/140428582060032000 - 
           (2937998936237986529650559953*z^26)/520105859481600 + 
           (282447989894606233808463360757*z^27)/72236924928000 - 
           (1437465144092449286668187628727*z^28)/859963392000 + 
           (1432285585726485485583272443979*z^29)/3981312000 + 
           (481479774783064232558938475831*z^30)/43008000 - 
           (21133943694833869600658419162713*z^31)/896000 + 
           (193311910339147135863482788099431*z^32)/56000 + 
           (70865937219467746506168343268109*z^33)/500)*Cf[z]^12 + 
         ((17222564267415197*z^16)/7801587892224 - 
           (17713512498670024669*z^17)/1462797729792 + 
           (33631358295985954679*z^18)/1289945088 - 
           (23076976471206698483041*z^19)/752467968 + 
           (294621988873931361533333*z^20)/13063680 - 
           (1195670228618268989396557*z^21)/107520 + 
           (16867372534369648959808809*z^22)/4480 - 
           (11585863828629083535823773*z^23)/14 + 
           (3188466848151814782286910682*z^24)/35)*Cf[z]^10*tS0[z] + 
         ((-661435337390725*z^10)/6718464 + (89012918513435375*z^11)/373248 - 
           (792259320109970215*z^12)/3456 + (15793810497535909745*z^13)/144 - 
           (52491962536735076775*z^14)/2 + 2533896163955390078520*z^15)*
          Cf[z]^8*tS0[z]^2 + ((3312199186250*z^4)/27 - 100628007180000*z^5 + 
           20465218044576000*z^6)*Cf[z]^6*tS0[z]^3)*tS1[z]^12 + 
       (((4468571839206098047*z^18)/84257149236019200 - 
           (3796819893439733945527*z^19)/14042858206003200 + 
           (28826861226466228712867*z^20)/46809527353344 - 
           (4454664191815869372822373*z^21)/5417769369600 + 
           (8828229066484382749332221*z^22)/12541132800 - 
           (1222084290211657692605401*z^23)/3110400 + 
           (70605423818125567339295009*z^24)/518400 - 
           (543129170911227562762971331*z^25)/22400 + 
           (101923191466080973231156443*z^26)/350 + 
           (79476205377439658299527826542*z^27)/175)*Cf[z]^11 + 
         ((-3708328300698869*z^12)/3386105856 + (134254380143129663*z^13)/
            47029248 - (15343597910963973037*z^14)/5225472 + 
           (104211020394027740653*z^15)/72576 - (1121574238974996211175*z^16)/
            4032 - (278323338231178553973*z^17)/14 + 
           (81994269635046101955348*z^18)/7)*Cf[z]^9*tS0[z] + 
         ((485407975925*z^6)/324 - (14853250913600*z^7)/9 + 
           579726732478200*z^8 - 63384119665891200*z^9)*Cf[z]^7*tS0[z]^2 + 
         378626880000*Cf[z]^5*tS0[z]^3)*tS1[z]^13 + 
       (((-192225059147725*z^14)/108355387392 + (96593009005783685*z^15)/
            18059231232 - (13892508080422443833*z^16)/1504935936 + 
           (12500113610760895975*z^17)/995328 - (5967044351254661272757*z^18)/
            483840 + (4254822993647585172441*z^19)/560 - 
           (364440287086388244990387*z^20)/140 + (13420822269013276956694668*
             z^21)/35)*Cf[z]^10 + ((-57257286325*z^8)/31104 + 
           (2851205577005*z^9)/648 - (13965622268470*z^10)/9 - 
           1062785440725640*z^11 + 518655286127671200*z^12)*Cf[z]^8*tS0[z] + 
         (26072300000*z^2 - 10891500480000*z^3)*Cf[z]^6*tS0[z]^2)*tS1[z]^14 + 
       (((-1693035733795*z^10)/4478976 + (897294573641095*z^11)/746496 - 
           (100067740921469663*z^12)/62208 + (327070968203241341*z^13)/288 - 
           (1693464119414312595*z^14)/4 + 66798698224182840108*z^15)*
          Cf[z]^9 + ((1490443750*z^4)/3 - (1209990200000*z^5)/3 + 
           81104904000000*z^6)*Cf[z]^7*tS0[z])*tS1[z]^15 + 
       (((-343583035*z^6)/108 + (310391908415*z^7)/36 - (20931394254685*z^8)/
            3 + 1835435509560720*z^9)*Cf[z]^8 + 1195200000*Cf[z]^6*tS0[z])*
        tS1[z]^16 + (27000000*z^2 - 11188800000*z^3)*Cf[z]^7*tS1[z]^17)
 
Ff[14] = 
    18554748375024671285811662132375218761023959557879054201327379038775861/1\
66528564693753612995274546458640412216948881969164085196404529351884800000000 \
+ (15715620555625814619403686878024857796962250800774458054872139843719*z)/
      15929040853014387530157115325474480813528168232434581152089505792000000\
00 + (761907017124767760051482172995077196848098745945673379265414024257757*
       z^2)/89232127000682448664306062702889452705412423894656681453834731520\
0000000 + 
     (744829668376525628074945700852405352369551706963097493376316726696553*
       z^3)/
      1032779247693083896577616466468627924831162313595563442752716800000000 \
- (246237885835176814860078311778979336755458905886480835810154462052627*z^4)/
      97579293999724480024340180127421383676413672864282260275200000000 + 
     (612689051167145019410564330770636553738340527397300779610812171556041*
       z^5)/100618379755608154907253131865396628790914772103321354240000000 - 
     (
       258478340494223735873124796755609772704593963491338815632112555952072011\
*z^6)/25620420771103928332865380799059326775464409563345715200000000 + 
     (70299224500096667767094474083579211442120120325748587401443133338221549*
       z^7)/5930652956274057484459578888671140457283428139663360000000 - 
     (11005201110437718206846110228428221235172273264134257933439815329032439*
       z^8)/1098269065976677311936959053457618603200634840678400000 + 
     (17545482490812427859602218707303367662493599332615563257106714099202313*
       z^9)/2888965346108684006568179328329173514311434240000000 - 
     (1167935342691307681677477224043962795003848841958107136311824229626291*
       z^10)/452686877595377835787036646889186733011763200000 + 
     (101541137772319680914465220117548677399717592174315717018836118008717*
       z^11)/139005324280515680868090429175156545945600000 - 
     (455756799231013439113180549369559358317380065680619241561414649143*
       z^12)/3677389531230573567938900242729009152000 + z^13*a[13, 0] + 
     ((-142727755861260521454570396273181826515797280464092441423089413581229\
7*z^78)/146641800322626293612775086901249656318106057206929963774755970626753\
728442512911792731236755046400000000 + 
       (119654197392159466269082913298166042316049449299864079221030011249503\
857*z^79)/1103207988538276514447960723215419868133899735931764773768418760502\
198188514275378070316017254400000000 - 
       (581588950609007262604307099352561389037784080225555463656806018623279\
99*z^80)/10014596845844921155119469164991102651905407915139476886060446264544\
2827570286435917784678400000000 + 
       (470276522602216569631188495583175507265143175940558745164794946974409\
3397*z^81)/236455758860227305051431910840067701503322131329682093143093870135\
0733428742874181392138240000000 - 
       (334715322225151446813264415567887023223632408967704866159668839414494\
18657*z^82)/68418911707241697063493029756964033999803857444931161210385957793\
71335152612483163750400000000 + 
       (194299923462363221054275056239244002226097712356520764881116058635354\
790083*z^83)/2111694805779064724181883634474198580240859797683060531184751783\
7565849236458281369600000000 - 
       (201690879118227314376240241265965336591319144003444980262302385836038\
2166743*z^84)/146645472623546161401519696838486012516726374839101425776718873\
871985064142071398400000000 + 
       (569129500902486720365167192761839003865316316671869321399521174103321\
9728303*z^85)/339457112554505003244258557496495399344274015831253300409071467\
296261722551091200000000 - 
       (592644002101391544717138406943446472120006440133641911089007288772359\
612497*z^86)/3492357125046347770002660056548306577615987817193963995978101515\
3936391208960000000 + 
       (154559661656659778804334795725504449913556533599949346061447143889781\
5059209*z^87)/106996235448723890012336398791308412304411391458148406739525168\
976520806400000000 - 
       (169008657777522360396018507716151331826782925889143330130443661656411\
4302909*z^88)/161942307926309306464540489623597134007745161573052253790235743\
643238400000000 + 
       (104613754276415250832420959139932972274012874711810784705787947360096\
22179983*z^89)/
        162442129864353470990665614591571199236164128121117229882180915691520\
0000000 - 
       (768933102651234087317255176784611371923854650658283270396252016977148\
169007*z^90)/
        225614069256046487487035575821626665605783511279329485947473494016000\
000 + 
       (404780913101800069550517686541597533332977811317700904840772523065557\
52896101*z^91)/
        261127394972276027184068953497253085191879063980705423550316544000000\
00 - 
       (122126646273583547672476107771549939227245580623390834868054408109378\
92509733*z^92)/
        20148718747860804566671987152565824474682026541721097496166400000000 \
+ 
       (406679594503066617290483769867138494642715163727178613117589859970002\
0444713*z^93)/
        19988808281607941038365066619608952851867089823136009420800000000 - 
       (756935735644734618175715258733239647443634993141733207880567700564309\
94302463*z^94)/
        1295570907141255437671809873493172870028422488536593203200000000 + 
       (594525970040910256493108422688098689285557463708578054875227947452956\
979157*z^95)/41652871242967317311979484101503757395461113957580800000000 - 
       (785526481898718860876334847320096685813967423816146735170817788251417\
419541*z^96)/267005584890816136615253103214767675611930217676800000000 + 
       (369299422678491273695206156947539014063375833338241027634907294514841\
588711*z^97)/730444571460566030302670526471376216951829299200000000 - 
       (138004402153486884655398797321766517204853287396465144081823689674689\
1559*z^98)/19374253197497652231214737150812930137128960000000 + 
       (691424562345055812264563303769183803805695581749464155992918630088228\
05689*z^99)/8610779198887845436095438733694635616501760000000 - 
       (432176138749029377673375697805695537127846132817665680588818657713345\
051*z^100)/619017368220025695601523948534523494400000000 + 
       (308338237212463277853871091315332768396003373540167291427715944075769\
667*z^101)/6990866742664431607172092853118566400000000 - 
       (193401445934342391624036544455043755477588616987872039361041128966560\
4431*z^102)/1068049085684843717762403074782003200000000 + 
       (452759341989650725843337823453800490028021184482242814408606095694916\
81*z^103)/1236167923246346895558336892108800000000)*Cf[z]^26 + 
     ((-98695585491875*z^2)/16384 + (77989346950470168375*z^3)/8388608)*
      Cf[z]^26*S2[z]^38 + (6320791709083309375*Cf[z]^26*S2[z]^39)/436207616 + 
     (1418293725822955641121673543056057081219856655543088250574603511/
        73847277517806164411839500167908512583789592188681391548001157120000 \
+ (4948961034272425556816645730759458174926155059866263068803409563*z)/
        2670980812999354904942111551211968771115074948954043386429440000000 + 
       (74022418414921628397456487957553834910527594754361227915121077259*
         z^2)/
        247313038240681009716862180667774886214358791569818832076800000000 - 
       (421621892881474555212111620260063666048016093138142492408196440347*
         z^3)/
        286241942408195613098220116513628340525878230983586611200000000 + 
       (2743621033487179435295418311240065971829314716769227095564537776193*
         z^4)/662597088907860215505139158596361899365458868017561600000000 - 
       (5884402446327407053532865872912957812040765567124566256439603948879*
         z^5)/766894778828541916093911063190233679821132949094400000000 + 
       (440545573121828506038427227739281765199927581122524029527102941*z^6)/
        44124014054220831929105998650795588593909760000000 - 
       (402041775789482837399105561201421955226215575137850879404115421*z^7)/
        43360812030208604960444123265247771361280000000 + 
       (155416147159053311519524740211079589322796398420203175812951772459*
         z^8)/25366075037672033901859812110169946246348800000 - 
       (4964221804480403041594168536628606885313420748144322218186145099943*
         z^9)/1761532988727224576518042507650690711552000000 + 
       (1400268274729853260025701942517045112013329970432722353655930571543*
         z^10)/1631049063636319052331520840417306214400000 - 
       (92371076978374985885549124967799175683926240677327108298256639*z^11)/
        592712172087155885637072228188160000 + 
       (13016034409893733694061740475175114543644533359823575833708043*z^12)/
        1019214052530823612867981344768000 + 
       ((-177269816476509375759383990160815472675817471512832257878153653403*
           z^72)/733828217152429567400995585365727349493068683436944426995808\
562488158650299512676983767040000000 + 
         (263355042689431022908996441820221118976244596473234963647784030107*
           z^73)/106167276787099185098523666864254535516937020173169043257495\
451748865545471573014609920000000 - 
         (283651592044075991225121606569806850845074009220865286286587918899*
           z^74)/232669903105630473588699686312194905800870085849592468239087\
11757366983447638179840000000 + 
         (2893240333231862866925376235151303609619739200157468678908598841490\
01*z^75)/75851106529420428311130877675078971991410193882293840918992520968268\
13662520934400000000 - 
         (7123876208294460669124050273358992985124943997193704913147316013181*
           z^76)/836101262449519712424282161321417239764221713870082020711998\
68792182690283520000000 + 
         (4186908219911045240339207450843194099454796204239777505201685988697\
49*z^77)/29031293835052767792509797268104765269591031731600070163611065552841\
21190400000000 - 
         (2693739191881917665524602482004487797356824839614186170417847882814\
2449*z^78)/141124345031506510102478181164398164504956404250833674406442679770\
755891200000000 + 
         (2164080620007030014415437929228001162887273951685703988170017779239\
5867*z^79)/108892241536656257795122053367591176315552781057742032721020586242\
867200000000 - 
         (1745755010693848663455292379538088734614371351928343738114752056943\
2831*z^80)/
          1120290550788644627521831824769456546456304331869773999187454590976\
00000000 + 
         (3413330167587503556773874136312845094000467710597697381828488758930\
1*z^81)/
          486034703764336312787133757101839748393162715131617901910425600000000 \
+ (150534988417803013841248179425642830353332932763455700711201019433097971*
           z^82)/405197681853531766320106996806082373573605444107991174474629\
1200000000 - 
         (1382811509235392882560867285813970668953388643347687240802798475766\
897*z^83)/9689644595900572159093467745783650271024770529824551731200000000 + 
         (3570427025103715196367344428655452863156604113324024633862648352062\
84223*z^84)/
          1579053193406019166667083632646224488611444086341778800640000000 - 
         (6536026927780654975460181983017528061593028827957011877264272324644\
18893*z^85)/2393296010728920143482407401773102592417036616754790400000000 + 
         (8633611810684165192649369016741495665388820206198976758758939380196\
817053*z^86)/31024207546486001859957132985947626197998622809784320000000 - 
         (3696009082792756312891897215763199579505649276857130738781787891891\
721339*z^87)/14961519843019869724130561818068878374806434611200000000 + 
         (2740436187126753063885813441144841788053496502053336645707358963205\
358083*z^88)/14168105911950634208456971418625831794324275200000000 - 
         (3876418659917641076922741848095868044514634483924454273926270178466\
20057289*z^89)/2886095648730684746167160844534891661806796800000000 + 
         (1108129649661589641211782397607264371749543599296777440777377741309\
984385967*z^90)/13361553929308725676699818724698572508364800000000 - 
         (1001482604786874280391436357086997452953080567269527264167369586528\
886909*z^91)/21966990756044701041501964180704460800000000 + 
         (7989504531609507290072099844508464060192742823630847291716188173478\
08055187*z^92)/35798059009850623919484682368555417600000000 - 
         (4029307036718862534721955435821359144707507591363666424076065678646\
40841541*z^93)/41432938668808592499403567556198400000000 + 
         (2408685370337102430336931050915359731960500009376807876058034098855\
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           (130154100611954178499687386*z^23)/35 + 
           (29902709791708489632339491796*z^24)/35)*Cf[z]^11 + 
         ((-7601259649895*z^10)/419904 + (2693576585587345*z^11)/23328 - 
           (441011058392151209*z^12)/1944 + (1829808232132218173*z^13)/9 - 
           88213050945066259320*z^14 + 15319983189882596266368*z^15)*Cf[z]^9*
          tS0[z] + ((-1835078675000*z^4)/27 + 56018645600000*z^5 - 
           11464629615360000*z^6)*Cf[z]^7*tS0[z]^2)*tS1[z]^15 + 
       (((5952587939631199*z^12)/40633270272 - (49344147452288261*z^13)/
            31352832 + (99351925538421859601*z^14)/20901888 - 
           (648377105877202940239*z^15)/96768 + (26936328645444715349807*
             z^16)/5376 - (109371954737365034638059*z^17)/56 + 
           (2222045752751436255225957*z^18)/7)*Cf[z]^10 + 
         ((-164223279680*z^6)/81 + (32466617465390*z^7)/9 - 
           (6967969028396840*z^8)/3 + 539629066935550080*z^9)*Cf[z]^8*
          tS0[z] - 142118400000*Cf[z]^6*tS0[z]^2)*tS1[z]^16 + 
       (((899599315025*z^8)/11664 - (25203646414555*z^9)/108 + 
           (2421402584593415*z^10)/9 - 141125798369269760*z^11 + 
           28649230207978443840*z^12)*Cf[z]^9 + 
         (-6608000000*z^2 + 2763187200000*z^3)*Cf[z]^7*tS0[z])*tS1[z]^17 + 
       ((58334340625*z^4)/81 - 1077238413000*z^5 + 411151589121600*z^6)*
        Cf[z]^8*tS1[z]^18 - 112000000*Cf[z]^7*tS1[z]^19)
Ff[2] = ((-461*z^6)/207360 + (22387*z^7)/5760 - (1015183*z^8)/480 + 
       (3677571*z^9)/10)*Cf[z]^2 + ((-5*z^2)/48 + 51*z^3)*Cf[z]^2*S2[z]^2 + 
     (5*Cf[z]^2*S2[z]^3)/24 + 42*tS0[z] + ((5*z^2)/4 - 558*z^3)*Cf[z]*
      tS1[z] + S2[z]*(((23*z^4)/864 - (1145*z^5)/48 + (10791*z^6)/2)*
        Cf[z]^2 - 3*Cf[z]*tS1[z])
 
Ff[3] = -18297929/940584960 + (2101373447*z)/52254720 - 
     (113656843*z^2)/6048 + ((-136523*z^12)/6501323243520 + 
       (33337321*z^13)/1083553873920 - (19076893*z^14)/1254113280 + 
       (14801641*z^15)/5806080)*Cf[z]^4 + ((-25*z^2)/192 + (615*z^3)/8)*
      Cf[z]^4*S2[z]^5 + (5*Cf[z]^4*S2[z]^6)/16 + 
     ((5071*z^6)/103680 - (246257*z^7)/2880 + (11167013*z^8)/240 - 
       (40453281*z^9)/5)*Cf[z]^2*tS0[z] - 462*tS0[z]^2 + 
     (8575/12 + ((9403*z^8)/8957952 - (1778701*z^9)/622080 + 
         (14595613*z^10)/5760 - (74139211*z^11)/80 + 121359843*z^12)*
        Cf[z]^3 + ((-55*z^2)/2 + 12276*z^3)*Cf[z]*tS0[z])*tS1[z] + 
     ((-215*z^4)/864 + (2645*z^5)/12 - 47772*z^6)*Cf[z]^2*tS1[z]^2 - 
     20*Cf[z]*tS1[z]^3 + S2[z]^4*(((6335*z^4)/248832 - (4045*z^5)/144 + 
         (32055*z^6)/4)*Cf[z]^4 - (55*Cf[z]^3*tS1[z])/24) + 
     S2[z]^3*(((-7645*z^6)/2985984 + (167411*z^7)/41472 - (69687*z^8)/32 + 
         (810531*z^9)/2)*Cf[z]^4 - (55*Cf[z]^2*tS0[z])/12 + 
       ((185*z^2)/288 - (1513*z^3)/4)*Cf[z]^3*tS1[z]) + 
     S2[z]^2*(((6137*z^8)/107495424 - (256801*z^9)/2488320 + 
         (447673*z^10)/5760 - (2327349*z^11)/80 + (22610421*z^12)/5)*
        Cf[z]^4 + ((55*z^2)/24 - 1122*z^3)*Cf[z]^2*tS0[z] + 
       ((-497*z^4)/10368 + (2755*z^5)/48 - (35433*z^6)/2)*Cf[z]^3*tS1[z] + 
       8*Cf[z]^2*tS1[z]^2) + 
     S2[z]*(((22559*z^10)/1612431360 - (7432037*z^11)/179159040 + 
         (226814039*z^12)/4976640 - (91592837*z^13)/3840 + 
         (482074659*z^14)/80 - (2955477213*z^15)/5)*Cf[z]^4 + 
       ((-253*z^4)/432 + (12595*z^5)/24 - 118701*z^6)*Cf[z]^2*tS0[z] + 
       (((-4883*z^6)/622080 + (187271*z^7)/17280 - (2327023*z^8)/480 + 
           (6883281*z^9)/10)*Cf[z]^3 + 66*Cf[z]*tS0[z])*tS1[z] + 
       ((-5*z^2)/12 + 366*z^3)*Cf[z]^2*tS1[z]^2)
 
Ff[4] = -11770961913689/7021429103001600 + (387000138167*z)/66886041600 - 
     (428126851645*z^2)/71663616 + (4788832497749*z^3)/2488320 + 
     ((-184654967143*z^18)/20965874958697129574400 + (398157915863*z^19)/
        16177372653315686400 - (516326370001*z^20)/18723810941337600 + 
       (2020045033613*z^21)/130026464870400 - (886338799921*z^22)/
        200658124800 + (236629175659*z^23)/464486400)*Cf[z]^6 + 
     ((-25*z^2)/64 + (8535*z^3)/32)*Cf[z]^6*S2[z]^8 + 
     (1105*Cf[z]^6*S2[z]^9)/1152 + (18297929/26127360 - 
       (2101373447*z)/1451520 + (113656843*z^2)/168 + 
       ((18534379*z^12)/902961561600 - (10569656861*z^13)/150493593600 + 
         (715504529*z^14)/7257600 - (87566849759*z^15)/1209600 + 
         (337846955861*z^16)/11520 - (1244469186831*z^17)/200 + 
         (13524528460041*z^18)/25)*Cf[z]^4)*tS0[z] + 
     ((-21667*z^6)/17280 + (1052189*z^7)/480 - (47713601*z^8)/40 + 
       (1037075022*z^9)/5)*Cf[z]^2*tS0[z]^2 + 7896*tS0[z]^3 + 
     (-2101373447/26127360 + (113656843*z)/1512 + 
       ((52466941*z^14)/58511909191680 - (120853539823*z^15)/32506616217600 + 
         (952267307339*z^16)/150493593600 - (12104292974761*z^17)/
          2090188800 + (29991546481417*z^18)/9676800 - (4366746032983*z^19)/
          4480 + (46864694674017*z^20)/280 - (2124132100442766*z^21)/175)*
        Cf[z]^5 + (-25725 + ((-14935*z^8)/248832 + (2621803*z^9)/17280 - 
           (62266633*z^10)/480 + (929628357*z^11)/20 - (30053110212*z^12)/5)*
          Cf[z]^3)*tS0[z] + (705*z^2 - 314712*z^3)*Cf[z]*tS0[z]^2)*tS1[z] + 
     (((-214781*z^10)/537477120 + (35923429*z^11)/29859840 - 
         (221407387*z^12)/165888 + (8108349823*z^13)/11520 - 
         (28676179701*z^14)/160 + (177894548757*z^15)/10)*Cf[z]^4 + 
       ((365*z^4)/24 - 13515*z^5 + 2965248*z^6)*Cf[z]^2*tS0[z])*tS1[z]^2 + 
     (((409*z^6)/77760 + (8971*z^7)/1080 - (332713*z^8)/30 + 
         (14019768*z^9)/5)*Cf[z]^3 + 720*Cf[z]*tS0[z])*tS1[z]^3 + 
     ((125*z^2)/6 - 9120*z^3)*Cf[z]^2*tS1[z]^4 + 
     S2[z]^7*(((72175*z^4)/995328 - (219845*z^5)/2304 + (519951*z^6)/16)*
        Cf[z]^6 - (275*Cf[z]^5*tS1[z])/96) + 
     S2[z]^6*(((-41525*z^6)/5971968 + (142675*z^7)/10368 - (222871*z^8)/24 + 
         (8617419*z^9)/4)*Cf[z]^6 - (1595*Cf[z]^4*tS0[z])/144 + 
       ((325*z^2)/576 - (1905*z^3)/4)*Cf[z]^5*tS1[z]) + 
     S2[z]^5*(((1521605*z^8)/10319560704 - (6629501*z^9)/11943936 + 
         (38481511*z^10)/55296 - (23634827*z^11)/64 + (2903874489*z^12)/40)*
        Cf[z]^6 + ((325*z^2)/72 - (5365*z^3)/2)*Cf[z]^4*tS0[z] + 
       ((24635*z^4)/497664 - (7175*z^5)/1152 - (30837*z^6)/2)*Cf[z]^5*
        tS1[z] + (245*Cf[z]^4*tS1[z]^2)/96) + 
     S2[z]^4*(((3023297*z^10)/61917364224 - (48302075*z^11)/429981696 + 
         (1942048433*z^12)/19906560 - (1729242959*z^13)/46080 + 
         (1605519141*z^14)/320 + (4056212781*z^15)/20)*Cf[z]^6 + 
       ((-17185*z^4)/20736 + (133775*z^5)/144 - (538197*z^6)/2)*Cf[z]^4*
        tS0[z] + (((-100693*z^6)/2985984 + (1932449*z^7)/41472 - 
           (7808951*z^8)/384 + (20793771*z^9)/8)*Cf[z]^5 + 
         (155*Cf[z]^3*tS0[z])/2)*tS1[z] + ((1385*z^2)/576 - 851*z^3)*Cf[z]^4*
        tS1[z]^2) + S2[z]^3*(((-20711015*z^12)/3343537668096 + 
         (1421962061*z^13)/77396705280 - (1012898303*z^14)/44789760 + 
         (4886741683*z^15)/331776 - (10204399027*z^16)/1920 + 
         (79403482521*z^17)/80 - (361362056922*z^18)/5)*Cf[z]^6 + 
       ((16493*z^6)/248832 - (186805*z^7)/1728 + (17465525*z^8)/288 - 
         (23550531*z^9)/2)*Cf[z]^4*tS0[z] + (235*Cf[z]^2*tS0[z]^2)/2 + 
       (((142717*z^8)/26873856 - (78113303*z^9)/7464960 + 
           (88627249*z^10)/11520 - (397505033*z^11)/160 + 292881339*z^12)*
          Cf[z]^5 + ((-445*z^2)/24 + 11463*z^3)*Cf[z]^3*tS0[z])*tS1[z] + 
       ((-9851*z^4)/10368 + (65165*z^5)/72 - (415317*z^6)/2)*Cf[z]^4*
        tS1[z]^2 + (28*Cf[z]^3*tS1[z]^3)/3) + 
     S2[z]^2*(((33273913*z^14)/133741506723840 - (41038579367*z^15)/
          52010585948160 + (1564123951727*z^16)/1444738498560 - 
         (310260719213*z^17)/371589120 + (378491017957*z^18)/967680 - 
         (497307253271*z^19)/4480 + (3925209318543*z^20)/224 - 
         (81249785630091*z^21)/70)*Cf[z]^6 + 
       ((7859*z^8)/2985984 - (228539*z^9)/41472 + (5724557*z^10)/1440 - 
         1151704*z^11 + (518477733*z^12)/5)*Cf[z]^4*tS0[z] + 
       ((-235*z^2)/4 + 28764*z^3)*Cf[z]^2*tS0[z]^2 + 
       (((-703663*z^10)/2149908480 + (95572927*z^11)/119439360 - 
           (7879694521*z^12)/9953280 + (227555843*z^13)/576 - 
           (1979930271*z^14)/20 + (98851642893*z^15)/10)*Cf[z]^5 + 
         ((13*z^4)/288 - (2075*z^5)/4 + 280638*z^6)*Cf[z]^3*tS0[z])*tS1[z] + 
       (((52339*z^6)/414720 - (483099*z^7)/2560 + (179782169*z^8)/1920 - 
           (612043173*z^9)/40)*Cf[z]^4 - 252*Cf[z]^2*tS0[z])*tS1[z]^2 + 
       ((-35*z^2)/3 + 5208*z^3)*Cf[z]^3*tS1[z]^3) + 
     S2[z]*(-688662869/48384 + ((2457254069*z^16)/404434316332892160 - 
         (1535495491*z^17)/39007939461120 + (531961161493*z^18)/
          5417769369600 - (914459392541*z^19)/7166361600 + 
         (45057290167531*z^20)/464486400 - (2415998951423*z^21)/53760 + 
         (140398105404969*z^22)/11200 - (48518555206806*z^23)/25 + 
         (22491076814609094*z^24)/175)*Cf[z]^6 + 
       ((-8753*z^10)/8957952 + (2732525*z^11)/995328 - (1214630377*z^12)/
          414720 + (135753283*z^13)/90 - (15136169643*z^14)/40 + 
         37153303398*z^15)*Cf[z]^4*tS0[z] + ((1081*z^4)/72 - (53815*z^5)/4 + 
         3043062*z^6)*Cf[z]^2*tS0[z]^2 + 
       (((-16471139*z^12)/4875992432640 + (383611*z^13)/20901888 - 
           (1573294033*z^14)/52254720 + (67035884267*z^15)/2903040 - 
           (41377048299*z^16)/4480 + (261892859337*z^17)/140 - 
           (5317519952394*z^18)/35)*Cf[z]^5 + 
         ((2081*z^6)/3456 - (80717*z^7)/96 + (3085807*z^8)/8 - 57691494*z^9)*
          Cf[z]^3*tS0[z] - 1692*Cf[z]*tS0[z]^2)*tS1[z] + 
       (((-12359*z^8)/4478976 + (12503*z^9)/2160 - (2691493*z^10)/576 + 
           (33924331*z^11)/20 - (2303042031*z^12)/10)*Cf[z]^4 + 
         (-15*z^2 + 216*z^3)*Cf[z]^2*tS0[z])*tS1[z]^2 + 
       ((4195*z^4)/2592 - 1595*z^5 + 386424*z^6)*Cf[z]^3*tS1[z]^3 - 
       35*Cf[z]^2*tS1[z]^4)
 
Ff[5] = -26509532739780373/160155989267825295360 + (1523282934268199149*z)/
      1853657283192422400 - (169994554627161763*z^2)/122596381163520 + 
     (9533199401004841633*z^3)/9932577177600 - (15500624708971879*z^4)/
      65691648 + ((493973108267279*z^24)/49188674207098084807566950400 - 
       (23537309952128309*z^25)/797038702429830077900390400 + 
       (1447889591047729*z^26)/40999933252563275612160 - 
       (90456336810162949*z^27)/4270826380475341209600 + 
       (58063425459869371*z^28)/9886172177026252800 - (21599678509447*z^29)/
        282526639718400 - (3570801669885869*z^30)/10594748989440 + 
       (632502745394771*z^31)/11147673600)*Cf[z]^8 + 
     ((-5525*z^2)/3072 + (177495*z^3)/128)*Cf[z]^8*S2[z]^11 + 
     (565*Cf[z]^8*S2[z]^12)/128 + (11770961913689/167176883404800 - 
       (387000138167*z)/1592524800 + (2996887961515*z^2)/11943936 - 
       (33521827484243*z^3)/414720 + 
       ((120512925304273*z^18)/3494312493116188262400 - (72576562267607*z^19)/
          385175539364659200 + (4178139287639621*z^20)/9361905470668800 - 
         (13060100596867403*z^21)/21671077478400 + (51404060747880221*z^22)/
          100329062400 - (66183312856832203*z^23)/232243200 + 
         (41890253689616249*z^24)/403200 - (67149129024656631*z^25)/2800 + 
         (557417591125505073*z^26)/175 - (6500442219117425856*z^27)/35)*
        Cf[z]^6)*tS0[z] + (-237873077/11197440 + (27317854811*z)/622080 - 
       (1477538959*z^2)/72 + ((-101234627*z^12)/77396705280 + 
         (11678558177*z^13)/2579890176 - (2980929653*z^14)/466560 + 
         (32502838901*z^15)/6912 - (4392010426193*z^16)/2304 + 
         (16178099428803*z^17)/40 - (175818869980533*z^18)/5)*Cf[z]^4)*
      tS0[z]^2 + ((293657*z^6)/8640 - (14260519*z^7)/240 + 
       (646671571*z^8)/20 - (28111352724*z^9)/5)*Cf[z]^2*tS0[z]^3 - 
     160524*tS0[z]^4 + (4482992605/322486272 - (514836494515*z)/17915904 + 
       (139229632675*z^2)/10368 + 
       ((324439068911*z^20)/436789061639523532800 - (68513986520909*z^21)/
          12133029489986764800 + (1963533988799447*z^22)/112342865648025600 - 
         (9355643736518483*z^23)/312063515688960 + (928600660789443547*z^24)/
          28894769971200 - (2282566872526054589*z^25)/100329062400 + 
         (5041464090380216447*z^26)/464486400 - (931230494782855639*z^27)/
          268800 + (15924039257373266079*z^28)/22400 - 
         (59463155917498527459*z^29)/700 + (157491698947700580234*z^30)/35)*
        Cf[z]^7 + (2101373447/622080 - (113656843*z)/36 + 
         ((-306155113*z^14)/3250661621760 + (2106482251673*z^15)/
            5417769369600 - (9977274093251*z^16)/15049359360 + 
           (637005033375581*z^17)/1045094400 - (1587426073224473*z^18)/
            4838400 + (697708694422843*z^19)/6720 - (12559821567466689*z^20)/
            700 + (229165537381301412*z^21)/175)*Cf[z]^5)*tS0[z] + 
       (780325 + ((1934413*z^8)/746496 - (326266681*z^9)/51840 + 
           (843129131*z^10)/160 - (37294409373*z^11)/20 + 239233348692*z^12)*
          Cf[z]^3)*tS0[z]^2 + (-19110*z^2 + 8530704*z^3)*Cf[z]*tS0[z]^3)*
      tS1[z] + (-73530625/288 + ((-37763736461*z^16)/84257149236019200 + 
         (2993396166077*z^17)/1170238183833600 - (3060039962081*z^18)/
          541776936960 + (7399945487063*z^19)/1114767360 - 
         (12963252307079603*z^20)/2786918400 + (39020634932784649*z^21)/
          19353600 - (23842011020031663*z^22)/44800 + 
         (220166785974959541*z^23)/2800 - (874646286083641224*z^24)/175)*
        Cf[z]^6 + ((1392329*z^10)/29859840 - (657565363*z^11)/4976640 + 
         (58757323811*z^12)/414720 - (421621015931*z^13)/5760 + 
         (294533070309*z^14)/16 - (9070488545913*z^15)/5)*Cf[z]^4*tS0[z] + 
       ((-48815*z^4)/72 + 603395*z^5 - 133121664*z^6)*Cf[z]^2*tS0[z]^2)*
      tS1[z]^2 + (((5620147*z^12)/380936908800 - (14789409277*z^13)/
          112870195200 + (119909290033*z^14)/522547200 - 
         (2532602181863*z^15)/14515200 + (1202686008263*z^16)/17920 - 
         (8974919481741*z^17)/700 + (337440985062309*z^18)/350)*Cf[z]^5 + 
       ((-19381*z^6)/4320 + (906733*z^7)/180 - (26710997*z^8)/15 + 
         (955300464*z^9)/5)*Cf[z]^3*tS0[z] - 21840*Cf[z]*tS0[z]^2)*tS1[z]^3 + 
     (((149771*z^8)/2239488 - (45073447*z^9)/311040 + (327496973*z^10)/2880 - 
         (773218501*z^11)/20 + (24157320714*z^12)/5)*Cf[z]^4 + 
       (-1275*z^2 + 561600*z^3)*Cf[z]^2*tS0[z])*tS1[z]^4 + 
     ((-3325*z^4)/216 + (40450*z^5)/3 - 2930760*z^6)*Cf[z]^3*tS1[z]^5 - 
     200*Cf[z]^2*tS1[z]^6 + S2[z]^10*
      (((1267015*z^4)/3981312 - (567235*z^5)/1152 + (12438489*z^6)/64)*
        Cf[z]^8 + (1705*Cf[z]^7*tS1[z])/384) + 
     S2[z]^9*(((-1291525*z^6)/47775744 + (15011005*z^7)/221184 - 
         (86213695*z^8)/1536 + (62205921*z^9)/4)*Cf[z]^8 - 
       (7535*Cf[z]^6*tS0[z])/192 + ((-16675*z^2)/4608 + (130815*z^3)/64)*
        Cf[z]^7*tS1[z]) + S2[z]^8*(((-182375*z^8)/7739670528 - 
         (155964373*z^9)/71663616 + (61466479*z^10)/13824 - 
         (1183638331*z^11)/384 + (2939531517*z^12)/4)*Cf[z]^8 + 
       ((2225*z^2)/144 - (171055*z^3)/16)*Cf[z]^6*tS0[z] + 
       ((889625*z^4)/746496 - (9458755*z^5)/6912 + (6298493*z^6)/16)*Cf[z]^7*
        tS1[z] - (625*Cf[z]^6*tS1[z]^2)/36) + 
     S2[z]^7*(((26474819*z^10)/92876046336 - (840558109*z^11)/1289945088 + 
         (6106138435*z^12)/11943936 - (701969779*z^13)/6144 - 
         (12564822253*z^14)/320 + (337354482177*z^15)/20)*Cf[z]^8 + 
       ((-3897605*z^4)/1492992 + (12304435*z^5)/3456 - (9987611*z^6)/8)*
        Cf[z]^6*tS0[z] + (((-1994507*z^6)/8957952 + (47765917*z^7)/124416 - 
           (63971819*z^8)/288 + (344600391*z^9)/8)*Cf[z]^7 + 
         (14065*Cf[z]^5*tS0[z])/144)*tS1[z] + 
       ((4975*z^2)/432 - (38855*z^3)/6)*Cf[z]^6*tS1[z]^2) + 
     S2[z]^6*(((-1788525715*z^12)/53496602689536 + (78876612283*z^13)/
          743008370688 - (3714798917*z^14)/26873856 + (369630076633*z^15)/
          3981312 - (75223535629*z^16)/2304 + (407844701931*z^17)/80 - 
         132524459073*z^18)*Cf[z]^8 + ((1563149*z^6)/8957952 - 
         (24575027*z^7)/62208 + (28351795*z^8)/96 - 74117544*z^9)*Cf[z]^6*
        tS0[z] + (47515*Cf[z]^4*tS0[z]^2)/144 + 
       (((42291695*z^8)/1719926784 - (2041497815*z^9)/35831808 + 
           (919551239*z^10)/18432 - (2503243243*z^11)/128 + 
           (115750823517*z^12)/40)*Cf[z]^7 + 
         ((-4525*z^2)/864 + (31175*z^3)/3)*Cf[z]^5*tS0[z])*tS1[z] + 
       ((-437635*z^4)/165888 + (21492355*z^5)/6912 - (14584255*z^6)/16)*
        Cf[z]^6*tS1[z]^2 + (2255*Cf[z]^5*tS1[z]^3)/48) + 
     S2[z]^5*(((636471755*z^14)/427972821516288 - (26985337555*z^15)/
          4623163195392 + (42821276810993*z^16)/4334215495680 - 
         (18620122310957*z^17)/2006581248 + (120099040994057*z^18)/23224320 - 
         (90421895595881*z^19)/53760 + (319927585596957*z^20)/1120 - 
         (618939660932766*z^21)/35)*Cf[z]^8 + 
       ((70894775*z^8)/5159780352 - (109656031*z^9)/5971968 + 
         (96019549*z^10)/27648 + (131513457*z^11)/32 - (31182914169*z^12)/20)*
        Cf[z]^6*tS0[z] + ((-9425*z^2)/72 + (156845*z^3)/2)*Cf[z]^4*tS0[z]^2 + 
       (((-16722755*z^10)/13759414272 + (2153734661*z^11)/573308928 - 
           (139100197423*z^12)/29859840 + (133349431451*z^13)/46080 - 
           (72018139911*z^14)/80 + (2243408344407*z^15)/20)*Cf[z]^7 + 
         ((-2018455*z^4)/248832 + (3761555*z^5)/576 - 988965*z^6)*Cf[z]^5*
          tS0[z])*tS1[z] + (((97465*z^6)/442368 - (24138059*z^7)/55296 + 
           (324159643*z^8)/1152 - 59352378*z^9)*Cf[z]^6 + 
         (1415*Cf[z]^4*tS0[z])/48)*tS1[z]^2 + 
       ((-7555*z^2)/384 + (185577*z^3)/16)*Cf[z]^5*tS1[z]^3) + 
     S2[z]^4*(((52737978697*z^16)/970642359198941184 - (764424813067*z^17)/
          3744762188267520 + (54483097136681*z^18)/173368619827200 - 
         (1806564696569573*z^19)/7223692492800 + (1712222634067471*z^20)/
          16721510400 - (1361509024529*z^21)/96768 - (188418802866989*z^22)/
          44800 + (9501000273439911*z^23)/5600 - (51450527885623407*z^24)/
          350)*Cf[z]^8 + ((-126787717*z^10)/30958682112 + 
         (2166529015*z^11)/214990848 - (290892393031*z^12)/29859840 + 
         (105050796491*z^13)/23040 - (160168846569*z^14)/160 + 
         (753412311711*z^15)/10)*Cf[z]^6*tS0[z] + 
       ((458185*z^4)/20736 - (3647215*z^5)/144 + (14980485*z^6)/2)*Cf[z]^4*
        tS0[z]^2 + (((-787286665*z^12)/11702381838336 + (1262619989*z^13)/
            7524679680 - (75765024455*z^14)/501645312 + (3376655389223*z^15)/
            69672960 + (402670269863*z^16)/53760 - (285735564216*z^17)/35 + 
           (48951465836157*z^18)/35)*Cf[z]^7 + ((3668633*z^6)/1492992 - 
           (74387341*z^7)/20736 + (983387521*z^8)/576 - (1033868127*z^9)/4)*
          Cf[z]^5*tS0[z] - (4355*Cf[z]^3*tS0[z]^2)/2)*tS1[z] + 
       (((4345705*z^8)/214990848 - (46846423*z^9)/1658880 + 
           (278539733*z^10)/27648 + (2189905853*z^11)/1920 - 
           (32992516827*z^12)/40)*Cf[z]^6 + ((-55405*z^2)/288 + 82106*z^3)*
          Cf[z]^4*tS0[z])*tS1[z]^2 + ((1021*z^4)/1944 - (70795*z^5)/48 + 
         (2521311*z^6)/4)*Cf[z]^5*tS1[z]^3 - (1133*Cf[z]^4*tS1[z]^4)/12) + 
     S2[z]^3*(((-154900007329*z^18)/14559635387984117760 + 
         (393418774576349*z^19)/8088686326657843200 - (7328480698583339*z^20)/
          74895243765350400 + (59130426858500491*z^21)/520105859481600 - 
         (33711164068799743*z^22)/401316249600 + (5423046616850447*z^23)/
          132710400 - (84224973499075271*z^24)/6451200 + 
         (117998891350711983*z^25)/44800 - (34050013371303795*z^26)/112 + 
         (2701756093023563427*z^27)/175)*Cf[z]^8 + 
       ((4084552889*z^12)/11702381838336 - (283800669307*z^13)/270888468480 + 
         (412229346527*z^14)/313528320 - (15339707365963*z^15)/17418240 + 
         (6663372562207*z^16)/20160 - (18298120275837*z^17)/280 + 
         (182801652555456*z^18)/35)*Cf[z]^6*tS0[z] + 
       ((-276965*z^6)/248832 + (1145651*z^7)/576 - (352534741*z^8)/288 + 
         (519241827*z^9)/2)*Cf[z]^4*tS0[z]^2 - 3185*Cf[z]^2*tS0[z]^3 + 
       (((42526940377*z^14)/2808571641200640 - (5879538344101*z^15)/
            111451255603200 + (187607399917099*z^16)/2407897497600 - 
           (3164389679002819*z^17)/50164531200 + (1748237466385097*z^18)/
            58060800 - (10769636468459*z^19)/1280 + (1409215015435131*z^20)/
            1120 - (26518370994548757*z^21)/350)*Cf[z]^7 + 
         ((-255031*z^8)/839808 + (2282623603*z^9)/3732480 - 
           (531890957*z^10)/1152 + (36999620059*z^11)/240 - 
           (95181530526*z^12)/5)*Cf[z]^5*tS0[z] + 
         ((9685*z^2)/24 - 273039*z^3)*Cf[z]^3*tS0[z]^2)*tS1[z] + 
       (((-84712231*z^10)/12899450880 + (11290658579*z^11)/716636160 - 
           (98834856889*z^12)/6635520 + (190717124107*z^13)/27648 - 
           (496195098127*z^14)/320 + (532690059231*z^15)/4)*Cf[z]^6 + 
         ((302363*z^4)/5184 - (2064115*z^5)/36 + 13779105*z^6)*Cf[z]^4*
          tS0[z])*tS1[z]^2 + 
       (((2871493*z^6)/3732480 - (204558827*z^7)/207360 + 
           (765623417*z^8)/1920 - (1946443149*z^9)/40)*Cf[z]^5 - 
         (2528*Cf[z]^3*tS0[z])/3)*tS1[z]^3 + ((755*z^2)/72 - 8911*z^3)*
        Cf[z]^4*tS1[z]^4) + S2[z]^2*
      (((2496321227737*z^20)/5241468739674282393600 - (7372327400831*z^21)/
          3235474530663137280 + (41635821127109*z^22)/8559456430325760 - 
         (76358446289001811*z^23)/12482540627558400 + 
         (62263890479530927*z^24)/12383472844800 - (94499653959416639*z^25)/
          33443020800 + (42576879381900247*z^26)/38707200 - 
         (314655846060953213*z^27)/1075200 + (1138490039915745561*z^28)/
          22400 - (908010239664911832*z^29)/175 + (41385837187222126416*z^30)/
          175)*Cf[z]^8 + ((-2304186811*z^14)/468095273533440 + 
         (1376272974367*z^15)/130026464870400 - (30087578505191*z^16)/
          3611846246400 + (21300714273469*z^17)/8360755200 + 
         (34376542723*z^18)/604800 - (426241431197*z^19)/2240 + 
         (2546743130199*z^20)/80 - (249565415558589*z^21)/175)*Cf[z]^6*
        tS0[z] + ((-2170753*z^8)/8957952 + (100982479*z^9)/207360 - 
         (511770181*z^10)/1440 + (555837022*z^11)/5 - (61918858053*z^12)/5)*
        Cf[z]^4*tS0[z]^2 + ((3185*z^2)/2 - 779688*z^3)*Cf[z]^2*tS0[z]^3 + 
       (((-1804109277013*z^16)/2022171581664460800 + (10949560005679*z^17)/
            3120635156889600 - (58153060607497*z^18)/9631589990400 + 
           (1021142261199469*z^19)/171992678400 - (30487538944664023*z^20)/
            8360755200 + (13841170559762867*z^21)/9676800 - 
           (7818890748114057*z^22)/22400 + (135139851132586479*z^23)/2800 - 
           (503482833873902889*z^24)/175)*Cf[z]^7 + 
         ((11640883*z^10)/1074954240 - (58985521*z^11)/2211840 + 
           (135141747629*z^12)/4976640 - (6807033653*z^13)/480 + 
           3760799595*z^14 - 400176878733*z^15)*Cf[z]^5*tS0[z] + 
         ((49153*z^4)/864 - (151645*z^5)/4 + 3868722*z^6)*Cf[z]^3*tS0[z]^2)*
        tS1[z] + (((14194214429*z^12)/24379962163200 - (173999183227*z^13)/
            100329062400 + (664868762447*z^14)/309657600 - 
           (163979240112157*z^15)/116121600 + (83770488201227*z^16)/161280 - 
           (141472949295381*z^17)/1400 + (1416718534606371*z^18)/175)*
          Cf[z]^6 + ((-1229599*z^6)/207360 + (106254991*z^7)/11520 - 
           (4563540589*z^8)/960 + (16149309993*z^9)/20)*Cf[z]^4*tS0[z] + 
         6396*Cf[z]^2*tS0[z]^2)*tS1[z]^2 + 
       (((-7876399*z^8)/53747712 + (233846639*z^9)/829440 - 
           (1545563347*z^10)/7680 + (20162620167*z^11)/320 - 
           (29093314239*z^12)/4)*Cf[z]^5 + ((2110*z^2)/3 - 324048*z^3)*
          Cf[z]^3*tS0[z])*tS1[z]^3 + ((23525*z^4)/2592 - (119195*z^5)/16 + 
         (2887083*z^6)/2)*Cf[z]^4*tS1[z]^4 + 145*Cf[z]^3*tS1[z]^5) + 
     S2[z]*(-9598875197747/1504935936 + (15957693295247*z)/2488320 + 
       ((-133423480357*z^22)/251590499504365554892800 - 
         (131128569314921*z^23)/6988624986232376524800 + 
         (23279466265439611*z^24)/194128471839788236800 - 
         (14101605904981627*z^25)/44937146259210240 + (1925360372700179*z^26)/
          4127824281600 - (12768391642767743699*z^27)/28894769971200 + 
         (1042865749871078353*z^28)/3715891200 - (895997728375122049*z^29)/
          7372800 + (3184181325401842831*z^30)/89600 - 
         (150806776945632554511*z^31)/22400 + (104656339550040647931*z^32)/
          140 - (1294925586423479582058*z^33)/35)*Cf[z]^8 + 
       (688662869/1152 + ((-130472474389*z^16)/112342865648025600 + 
           (1724513961209*z^17)/292559545958400 - (11304094596107*z^18)/
            902961561600 + (1097977061035357*z^19)/75246796800 - 
           (21472902677033053*z^20)/2090188800 + (5442358713568261*z^21)/
            1209600 - (6735120879196137*z^22)/5600 + (31513819869049716*z^23)/
            175 - (2030139876441895236*z^24)/175)*Cf[z]^6)*tS0[z] + 
       ((6188039*z^10)/134369280 - (1891280027*z^11)/14929920 + 
         (55362314449*z^12)/414720 - (24579491651*z^13)/360 + 
         (683036439579*z^14)/40 - (8386388042526*z^15)/5)*Cf[z]^4*tS0[z]^2 + 
       ((-14651*z^4)/36 + (729365*z^5)/2 - 82486404*z^6)*Cf[z]^2*tS0[z]^3 + 
       (((28033864213*z^18)/3466579854281932800 - (2172209442559*z^19)/
            168514298472038400 - (180405722974387*z^20)/9361905470668800 + 
           (437275273267421*z^21)/6191736422400 - (2429305133453419*z^22)/
            28665446400 + (5557127329838231*z^23)/99532800 - 
           (7180477255345909*z^24)/322560 + (2409923563422705*z^25)/448 - 
           (204116272948787103*z^26)/280 + (1496052784129265028*z^27)/35)*
          Cf[z]^7 + ((539081533*z^12)/451480780800 - (9908434381*z^13)/
            2351462400 + (378129729809*z^14)/65318400 - (29440813254511*z^15)/
            7257600 + (15600023473813*z^16)/10080 - (53705654050686*z^17)/
            175 + (4343887540502208*z^18)/175)*Cf[z]^5*tS0[z] + 
         ((-1521143*z^6)/51840 + (59222891*z^7)/1440 - (760876883*z^8)/40 + 
           (14454568206*z^9)/5)*Cf[z]^3*tS0[z]^2 + 45864*Cf[z]*tS0[z]^3)*
        tS1[z] + (((-803201971*z^14)/58511909191680 + (689295056593*z^15)/
            16253308108800 - (432302643383*z^16)/7524679680 + 
           (61827506417561*z^17)/1393459200 - (204217819694347*z^18)/
            9676800 + (331391057766173*z^19)/53760 - (2850487657477587*z^20)/
            2800 + (25469495027183583*z^21)/350)*Cf[z]^6 + 
         ((-45449*z^8)/248832 + (2015521*z^9)/6480 - (262744727*z^10)/1440 + 
           (416025847*z^11)/10 - 2668064049*z^12)*Cf[z]^4*tS0[z] + 
         (1495*z^2 - 470808*z^3)*Cf[z]^2*tS0[z]^2)*tS1[z]^2 + 
       (((6662099*z^10)/806215680 - (1861220987*z^11)/89579520 + 
           (10356556661*z^12)/497664 - (119420052101*z^13)/11520 + 
           (82075627455*z^14)/32 - (2517859400841*z^15)/10)*Cf[z]^5 + 
         ((-10495*z^4)/144 + (225250*z^5)/3 - 18930960*z^6)*Cf[z]^3*tS0[z])*
        tS1[z]^3 + (((-1077769*z^6)/622080 + (41978503*z^7)/17280 - 
           (539516509*z^8)/480 + (1712069793*z^9)/10)*Cf[z]^4 + 
         2430*Cf[z]^2*tS0[z])*tS1[z]^4 + ((275*z^2)/12 - 6090*z^3)*Cf[z]^3*
        tS1[z]^5)
 
Ff[6] = -23111200900423849355533/1387701312266222010630144000 + 
     (18028800059430426960887339*z)/157401306252418700279808000 - 
     (101518128188458730905932157*z^2)/364354875584302546944000 + 
     (4728692303328582455042093*z^3)/15334801160955494400 - 
     (62519543762649999506669717*z^4)/390469474005811200 + 
     (4102106616413748368530717*z^5)/129123503308800 + 
     ((68583538896462104730493*z^30)/
        4210217571699810927146979064276844544000 - 
       (3717382291696327228561*z^31)/51565470944785064265468585443328000 + 
       (29535006963031478711419*z^32)/208887903132809866816134316032000 - 
       (53823699209262591152683*z^33)/334756255020528632718163968000 + 
       (20013984396490947940421*z^34)/172199719660765757571072000 - 
       (10536390246224117895371*z^35)/191923555863336321024000 + 
       (179924202124080803836067*z^36)/10795700017312668057600 - 
       (4665825022415259184627*z^37)/1542595452862464000 + 
       (34576149236463474256367*z^38)/128549621071872000 - 
       (40291868779694726154997*z^39)/8034351316992000)*Cf[z]^10 + 
     ((-2825*z^2)/256 + (2422095*z^3)/256)*Cf[z]^10*S2[z]^14 + 
     (82825*Cf[z]^10*S2[z]^15)/3072 + 
     (8881933843953092827/700682453046735667200 - (93918928634676943943*z)/
        1621950122793369600 + (349313221317290184113*z^2)/3754514173132800 - 
       (108767438870242307927*z^3)/1738201006080 + (6071199574786000579*z^4)/
        402361344 + ((46189146073926897337*z^24)/
          1506403147592378847231737856000 - (828856975949404390501*z^25)/
          3487044323130506590814208000 + (6570005115050162787919*z^26)/
          8071861859098394886144000 - (10222910653835076625831*z^27)/
          6228288471526539264000 + (4718515449372942723433*z^28)/
          2162600163724492800 - (44965853400585293323171*z^29)/
          22248972877824000 + (248624529938265123608027*z^30)/
          185408107315200 - (62759835413694841704367*z^31)/97542144000 + 
         (100219736506663420579397*z^32)/451584000 - 
         (84263017698430992763959*z^33)/1568000 + 
         (243080920235953173797109*z^34)/28000 - 
         (21024178307502865194393*z^35)/25 + (924380419414701651695352*z^36)/
          25)*Cf[z]^8)*tS0[z] + (-11770961913689/5224277606400 + 
       (387000138167*z)/49766400 - (2996887961515*z^2)/373248 + 
       (33521827484243*z^3)/12960 + 
       ((-1579779595069493*z^18)/545986327049404416000 + 
         (946645916780539*z^19)/60183678025728000 - (120575273614991*z^20)/
          3250661621760 + (168972797811550489*z^21)/3386105856000 - 
         (3637905820594681*z^22)/86016000 + (4541101986902617177*z^23)/
          193536000 - (137680512699860759449*z^24)/16128000 + 
         (220339900642218318369*z^25)/112000 - (1826799850395039854043*z^26)/
          7000 + (13302234201417060098862*z^27)/875)*Cf[z]^6)*tS0[z]^2 + 
     (860002663/1399680 - (98764552009*z)/77760 + (5341871621*z^2)/9 + 
       ((2878164137*z^12)/48372940800 - (1666364956963*z^13)/8062156800 + 
         (2727000818683*z^14)/9331200 - (9298784537623*z^15)/43200 + 
         (10473255631691*z^16)/120 - (462942537501132*z^17)/25 + 
         (40248996697082016*z^18)/25)*Cf[z]^4)*tS0[z]^3 + 
     ((-4069247*z^6)/4320 + (197610049*z^7)/120 - (8961020341*z^8)/10 + 
       (779086061208*z^9)/5)*Cf[z]^2*tS0[z]^4 + (17795232*tS0[z]^5)/5 + 
     (-933480275103294173/3243900245586739200 + (1072857756187261531*z)/
        5006018897510400 + (109692278586913237*z^2)/241416806400 - 
       (1408783729997125037*z^3)/3218890752 + 
       ((10361464932010369*z^26)/17933370804671176752758784000 - 
         (1286326160285643863*z^27)/217374191571771839427379200 + 
         (1085632030864361367461*z^28)/43049929915191439392768000 - 
         (18384020558973951419431*z^29)/298957846633273884672000 + 
         (101277557856302530541141*z^30)/1038048078587756544000 - 
         (6201590217702678793982803*z^31)/57669337699319808000 + 
         (136669219694320642056932059*z^32)/1601926047203328000 - 
         (183818241166826221876503133*z^33)/3708162146304000 + 
         (20190766210535645315014159*z^34)/953745408000 - 
         (26152637414330425541910613*z^35)/3973939200 + 
         (200164511480829436112140419*z^36)/137984000 - 
         (264986224171013631816413073*z^37)/1232000 + 
         (1482632296359065269781351193*z^38)/77000 - 
         (216422051975820525119862006*z^39)/275)*Cf[z]^9 + 
       (-4482992605/4478976 + (514836494515*z)/248832 - (139229632675*z^2)/
          144 + ((-384862111601*z^20)/3033257372496691200 + 
           (6344933577737*z^21)/7522959753216000 - (4215340280678083*z^22)/
            1755357275750400 + (3797526032909929991*z^23)/975198486528000 - 
           (14487285822654208589*z^24)/3611846246400 + 
           (345758587611834614773*z^25)/125411328000 - 
           (746693203482987637357*z^26)/580608000 + 
           (19360384315011232537*z^27)/48000 - (142822874647216485963*z^28)/
            1750 + (8436423265518931754067*z^29)/875 - 
           (442681016599164256990632*z^30)/875)*Cf[z]^7)*tS0[z] + 
       (-2101373447/19440 + (909254744*z)/9 + 
         ((7307640997*z^14)/1218998108160 - (8315666111087*z^15)/
            338610585600 + (14531050077181*z^16)/348364800 - 
           (27782512527607*z^17)/725760 + (345977522059387*z^18)/16800 - 
           (912573811490843*z^19)/140 + (197273848698502776*z^20)/175 - 
           (2882657177831772864*z^21)/35)*Cf[z]^5)*tS0[z]^2 + 
       (-22569400 + ((-9267299*z^8)/93312 + (1526094461*z^9)/6480 - 
           (2335288009*z^10)/12 + (341558143266*z^11)/5 - 
           (43593161699232*z^12)/5)*Cf[z]^3)*tS0[z]^3 + 
       (529620*z^2 - 236422368*z^3)*Cf[z]*tS0[z]^4)*tS1[z] + 
     (33647390341513/752467968 - (50872530388753*z)/1244160 + 
       ((-1445257480811*z^22)/3743906242624487424000 + 
         (2748616184137667*z^23)/727981769399205888000 - 
         (80620238287224757*z^24)/5777633090469888000 + 
         (32802919768160869*z^25)/1170238183833600 - 
         (183161771036884000969*z^26)/5201058594816000 + 
         (712374435559708734221*z^27)/24078974976000 - 
         (6880153995578444083739*z^28)/401316249600 + 
         (32058524701390163160599*z^29)/4644864000 - 
         (10221501637783393567763*z^30)/5376000 + 
         (38371286379915175725693*z^31)/112000 - 
         (510245983263339974106657*z^32)/14000 + 
         (217256280237177742489869*z^33)/125)*Cf[z]^8 + 
       (73530625/4 + ((35660026259*z^16)/390079394611200 - 
           (51303826541*z^17)/112870195200 + (8423436528923*z^18)/
            9029615616 - (6581390368140913*z^19)/6270566400 + 
           (41529502219638623*z^20)/58060800 - (1472692899098931943*z^21)/
            4838400 + (355482292696906243*z^22)/4480 - 
           (4068938621519327547*z^23)/350 + (128586705970844546406*z^24)/175)*
          Cf[z]^6)*tS0[z] + ((-2167133*z^10)/699840 + (2665150691*z^11)/
          311040 - (78261867407*z^12)/8640 + (37109983147*z^13)/8 - 
         (5801794742466*z^14)/5 + (570084196896576*z^15)/5)*Cf[z]^4*
        tS0[z]^2 + ((238135*z^4)/9 - 23567720*z^5 + 5215307904*z^6)*Cf[z]^2*
        tS0[z]^3)*tS1[z]^2 + 
     (((-861697457963*z^18)/15166286862483456000 - (40984492421681*z^19)/
          210642873090048000 + (206864638306447*z^20)/167176883404800 - 
         (31553603793848429*z^21)/13544423424000 + (290372722865635147*z^22)/
          125411328000 - (9679549029920192293*z^23)/6967296000 + 
         (303439934392844381831*z^24)/580608000 - (54259458607672459679*z^25)/
          448000 + (444135766503556577853*z^26)/28000 - 
         (225198322514497898343*z^27)/250)*Cf[z]^7 + 
       ((-1744164739*z^12)/84652646400 + (27948311641*z^13)/391910400 - 
         (12487548900383*z^14)/130636800 + (118279967918479*z^15)/1814400 - 
         (32494872112933*z^16)/1344 + (1630950791690097*z^17)/350 - 
         (64121530628625948*z^18)/175)*Cf[z]^5*tS0[z] + 
       ((640117*z^6)/1620 - (43743533*z^7)/90 + (980753198*z^8)/5 - 
         (129400318368*z^9)/5)*Cf[z]^3*tS0[z]^2 + 631680*Cf[z]*tS0[z]^3)*
      tS1[z]^3 + (((2592750907*z^14)/14627977297920 - (100744940515*z^15)/
          162533081088 + (70988367942407*z^16)/75246796800 - 
         (140060425988767*z^17)/174182400 + (2659230106424069*z^18)/6451200 - 
         (170142110250607*z^19)/1344 + (30114407132480547*z^20)/1400 - 
         (272537264109362589*z^21)/175)*Cf[z]^6 + 
       ((-12869*z^8)/3888 + (1109062*z^9)/135 - (1263906497*z^10)/180 + 
         (12669332696*z^11)/5 - (1655610590736*z^12)/5)*Cf[z]^4*tS0[z] + 
       (55600*z^2 - 24577920*z^3)*Cf[z]^2*tS0[z]^2)*tS1[z]^4 + 
     (((-3931379*z^10)/53747712 + (284630477*z^11)/1492992 - 
         (40129702799*z^12)/207360 + (30800210571*z^13)/320 - 
         (941973943101*z^14)/40 + (11369066207994*z^15)/5)*Cf[z]^5 + 
       (1400*z^4 - 1233000*z^5 + 269939520*z^6)*Cf[z]^3*tS0[z])*tS1[z]^5 + 
     (((66443*z^6)/7776 - (2357441*z^7)/216 + (13812349*z^8)/3 - 
         641147328*z^9)*Cf[z]^4 + 14400*Cf[z]^2*tS0[z])*tS1[z]^6 + 
     ((1250*z^2)/3 - 182400*z^3)*Cf[z]^3*tS1[z]^7 + 
     S2[z]^13*(((14671085*z^4)/7962624 - (61465075*z^5)/18432 + 
         (383385675*z^6)/256)*Cf[z]^10 + (102245*Cf[z]^9*tS1[z])/768) + 
     S2[z]^12*(((-11937625*z^6)/95551488 + (560356855*z^7)/1327104 - 
         (219410649*z^8)/512 + (4440779181*z^9)/32)*Cf[z]^10 - 
       (196075*Cf[z]^8*tS0[z])/1152 + ((-568375*z^2)/9216 + 
         (5954945*z^3)/128)*Cf[z]^9*tS1[z]) + 
     S2[z]^11*(((-99393695*z^8)/15479341056 - (1172997209*z^9)/286654464 + 
         (6664561597*z^10)/221184 - (86909752837*z^11)/3072 + 
         (258228422055*z^12)/32)*Cf[z]^10 + 
       ((152725*z^2)/2304 - (1670105*z^3)/32)*Cf[z]^8*tS0[z] + 
       ((19662545*z^4)/1492992 - (540789185*z^5)/27648 + (476085631*z^6)/64)*
        Cf[z]^9*tS1[z] + (14995*Cf[z]^8*tS1[z]^2)/144) + 
     S2[z]^10*(((6513488791*z^10)/2972033482752 - (76448168927*z^11)/
          13759414272 + (296236732243*z^12)/63700992 - (119901413161*z^13)/
          147456 - (745644986529*z^14)/1024 + (90048324971619*z^15)/320)*
        Cf[z]^10 + ((-3401305*z^4)/331776 + (19495625*z^5)/1152 - 
         (223558545*z^6)/32)*Cf[z]^8*tS0[z] + 
       (((-235320599*z^6)/143327232 + (1215482029*z^7)/331776 - 
           (5671825405*z^8)/2048 + (91310790771*z^9)/128)*Cf[z]^9 - 
         (9085*Cf[z]^7*tS0[z])/32)*tS1[z] + 
       ((-1310825*z^2)/27648 + (4293675*z^3)/128)*Cf[z]^8*tS1[z]^2) + 
     S2[z]^9*(((-2368848797965*z^12)/11555266180939776 + 
         (6667605197639*z^13)/8916100448256 - (22551124197089*z^14)/
          20639121408 + (568519298414173*z^15)/716636160 - 
         (153331754135743*z^16)/552960 + (4726626466937*z^17)/160 + 
         (78722420181849*z^18)/20)*Cf[z]^10 + 
       ((215411*z^6)/497664 - (267910009*z^7)/165888 + (7485439837*z^8)/
          4608 - (16151701935*z^9)/32)*Cf[z]^8*tS0[z] + 
       (350705*Cf[z]^6*tS0[z]^2)/288 + 
       (((41333240465*z^8)/371504185344 - (153296852293*z^9)/429981696 + 
           (140293347917*z^10)/331776 - (1027830917507*z^11)/4608 + 
           (89321399007*z^12)/2)*Cf[z]^9 + ((10925*z^2)/48 - (516465*z^3)/4)*
          Cf[z]^7*tS0[z])*tS1[z] + ((458484875*z^4)/35831808 - 
         (1340479405*z^5)/82944 + (1034154263*z^6)/192)*Cf[z]^8*tS1[z]^2 + 
       (229625*Cf[z]^7*tS1[z]^3)/10368) + 
     S2[z]^8*(((46491475645*z^14)/7703510787293184 - (50412559171183*z^15)/
          1497904875307008 + (567778806264977*z^16)/7705271992320 - 
         (13487539899039071*z^17)/160526499840 + (3338081783852017*z^18)/
          61931520 - (2720407537905893*z^19)/143360 + 
         (11121434084561445*z^20)/3584 - (121312651779650349*z^21)/1120)*
        Cf[z]^10 + ((3338678515*z^8)/30958682112 - (5690613605*z^9)/
          35831808 + (628639195*z^10)/18432 + (16208672381*z^11)/384 - 
         (71054020323*z^12)/4)*Cf[z]^8*tS0[z] + 
       ((-29425*z^2)/64 + (647025*z^3)/2)*Cf[z]^6*tS0[z]^2 + 
       (((172305835*z^10)/247669456896 + (24866644681*z^11)/3439853568 - 
           (1142504775559*z^12)/53084160 + (3073582733237*z^13)/138240 - 
           (26216529279161*z^14)/2560 + (36203375806443*z^15)/20)*Cf[z]^9 + 
         ((-108428855*z^4)/1492992 + (290723485*z^5)/3456 - 
           (195073661*z^6)/8)*Cf[z]^7*tS0[z])*tS1[z] + 
       (((-64625315*z^6)/23887872 + (3116135165*z^7)/663552 - 
           (5744935493*z^8)/2048 + (74806038735*z^9)/128)*Cf[z]^8 + 
         (310315*Cf[z]^6*tS0[z])/288)*tS1[z]^2 + 
       ((152875*z^2)/6912 - (328525*z^3)/48)*Cf[z]^7*tS1[z]^3) + 
     S2[z]^7*(((66196837194101*z^16)/93181666483098353664 - 
         (567954581057*z^17)/240734712102912 + (7437983328421*z^18)/
          2568423997440 - (80791623125957*z^19)/68797071360 - 
         (2348803052579069*z^20)/3344302080 + (15526377210565973*z^21)/
          15482880 - (8135636914843687*z^22)/17920 + (99954927966850983*z^23)/
          1120 - (1481775752488641831*z^24)/280)*Cf[z]^10 + 
       ((-2045314951*z^10)/92876046336 + (74100751877*z^11)/1289945088 - 
         (286598472641*z^12)/4976640 + (3669402201307*z^13)/138240 - 
         (1573849323153*z^14)/320 + (450492594354*z^15)/5)*Cf[z]^8*tS0[z] + 
       ((8452435*z^4)/124416 - (56360695*z^5)/576 + (286037247*z^6)/8)*
        Cf[z]^6*tS0[z]^2 + (((-2509575737887*z^12)/2246857312960512 + 
           (42359242699*z^13)/13544423424 - (44364962790053*z^14)/
            13377208320 + (51198943647011*z^15)/34836480 - 
           (8888428080467*z^16)/161280 - (183070779684981*z^17)/1120 + 
           (11048319718796187*z^18)/280)*Cf[z]^9 + 
         ((56593739*z^6)/4478976 - (1380828379*z^7)/62208 + 
           (2507073379*z^8)/192 - (10278246783*z^9)/4)*Cf[z]^7*tS0[z] - 
         (6920*Cf[z]^5*tS0[z]^2)/3)*tS1[z] + 
       (((9197524175*z^8)/20639121408 - (2953589807*z^9)/2985984 + 
           (3848381663*z^10)/4608 - (122875681139*z^11)/384 + 
           (3797528153067*z^12)/80)*Cf[z]^8 + ((-575575*z^2)/864 + 
           (4579595*z^3)/12)*Cf[z]^6*tS0[z])*tS1[z]^2 + 
       ((-52234645*z^4)/2985984 + (14503585*z^5)/864 - (122707827*z^6)/32)*
        Cf[z]^7*tS1[z]^3 + (635*Cf[z]^6*tS1[z]^4)/1152) + 
     S2[z]^6*(((-55253472707045*z^18)/559089998898590121984 + 
         (1747946693925611*z^19)/3882569436795764736 - 
         (484602366798963409*z^20)/539245755110522880 + 
         (1597546231388013257*z^21)/1560317578444800 - 
         (498737046895586263*z^22)/687970713600 + (270975206834763391*z^23)/
          836075520 - (681459104388705337*z^24)/7741440 + 
         (2304398340248917497*z^25)/179200 - (3997364554576732041*z^26)/
          5600 + (2706284872454125419*z^27)/700)*Cf[z]^10 + 
       ((81119672843*z^12)/46809527353344 - (7617852559897*z^13)/
          1300264648704 + (27466712975813*z^14)/3344302080 - 
         (210992471541347*z^15)/34836480 + (26235868337677*z^16)/10752 - 
         (69006793545327*z^17)/140 + (2493471451700421*z^18)/70)*Cf[z]^8*
        tS0[z] + ((-274237*z^6)/186624 + (257456897*z^7)/41472 - 
         (2344667351*z^8)/384 + (14331353715*z^9)/8)*Cf[z]^6*tS0[z]^2 - 
       (28060*Cf[z]^4*tS0[z]^3)/3 + 
       (((1788002300005*z^14)/13481143877763072 - (181640512257271*z^15)/
            374476218826752 + (13027881888801767*z^16)/17336861982720 - 
           (25404400138748053*z^17)/40131624960 + (28556544002414783*z^18)/
            92897280 - (2535927304757579*z^19)/30720 + 
           (44857909927913571*z^20)/4480 - (8848272331614897*z^21)/56)*
          Cf[z]^9 + ((-491500165*z^8)/429981696 + (24929902439*z^9)/8957952 - 
           (105585182287*z^10)/41472 + (16590871135*z^11)/16 - 
           (792948908151*z^12)/5)*Cf[z]^7*tS0[z] + 
         ((-4400*z^2)/9 + 10400*z^3)*Cf[z]^5*tS0[z]^2)*tS1[z] + 
       (((-6378033995*z^10)/123834728448 + (243390696325*z^11)/1719926784 - 
           (37425417723499*z^12)/238878720 + (1613469310723*z^13)/18432 - 
           (15856410759097*z^14)/640 + (45801715790727*z^15)/16)*Cf[z]^8 + 
         ((217105*z^4)/1728 - (271570015*z^5)/1728 + (386094451*z^6)/8)*
          Cf[z]^6*tS0[z])*tS1[z]^2 + 
       (((83457595*z^6)/17915904 - (3610276639*z^7)/497664 + 
           (51408547393*z^8)/13824 - (19935045085*z^9)/32)*Cf[z]^7 - 
         (33635*Cf[z]^5*tS0[z])/12)*tS1[z]^3 + 
       ((-675395*z^2)/6912 + (490217*z^3)/12)*Cf[z]^6*tS1[z]^4) + 
     S2[z]^5*(((493373772953933*z^20)/100636199801746221957120 - 
         (1488752450178541*z^21)/58238541551936471040 + 
         (324619914658587997*z^22)/5392457551105228800 - 
         (1049160348516051131*z^23)/12482540627558400 + 
         (3547598659618226861*z^24)/46231631953920 - 
         (38212091931879535841*z^25)/802632499200 + 
         (14997813767045905357*z^26)/743178240 - (6142944315585103493*z^27)/
          1075200 + (7310736639079971345*z^28)/7168 - 
         (572517056686938659757*z^29)/5600 + (3123783796046467958307*z^30)/
          700)*Cf[z]^10 + ((-815600777*z^14)/93619054706688 + 
         (1867245541537*z^15)/26005292974080 - (58462300330361*z^16)/
          309586821120 + (1211984798783359*z^17)/5016453120 - 
         (19825600165647209*z^18)/116121600 + (18220185673106909*z^19)/
          268800 - (39067814346280767*z^20)/2800 + (194166982609390197*z^21)/
          175)*Cf[z]^8*tS0[z] + ((-9857675*z^8)/8957952 + 
         (246632041*z^9)/124416 - (233355187*z^10)/192 + 
         (4106001897*z^11)/16 - (12149385291*z^12)/10)*Cf[z]^6*tS0[z]^2 + 
       ((21575*z^2)/6 - 2175060*z^3)*Cf[z]^4*tS0[z]^3 + 
       (((-13934027105113*z^16)/1941284718397882368 + (174334437016991*z^17)/
            5617143282401280 - (5111396146311601*z^18)/86684309913600 + 
           (57818283699549581*z^19)/902961561600 - (1445938472030084593*z^20)/
            33443020800 + (28552201294139603*z^21)/1548288 - 
           (214420968299436029*z^22)/44800 + (9406203352601805*z^23)/14 - 
           (5067553709103018597*z^24)/140)*Cf[z]^9 + 
         ((1603897*z^10)/429981696 - (1867751947*z^11)/35831808 + 
           (1597246690141*z^12)/14929920 - (509107568971*z^13)/5760 + 
           (2652216466539*z^14)/80 - 4713331599054*z^15)*Cf[z]^7*tS0[z] + 
         ((402185*z^4)/864 - (5096735*z^5)/12 + 88396632*z^6)*Cf[z]^5*
          tS0[z]^2)*tS1[z] + (((317709246191*z^12)/93619054706688 - 
           (128591000849*z^13)/11287019520 + (26831192210923*z^14)/
            1672151040 - (844973950974847*z^15)/69672960 + 
           (743907814311351*z^16)/143360 - (5347397929273671*z^17)/4480 + 
           (64849486959243639*z^18)/560)*Cf[z]^8 + 
         ((-35723*z^6)/41472 + (57685355*z^7)/6912 - (4816393261*z^8)/576 + 
           (8876531091*z^9)/4)*Cf[z]^6*tS0[z] - 5730*Cf[z]^4*tS0[z]^2)*
        tS1[z]^2 + (((-747694609*z^8)/1289945088 + (9458435201*z^9)/7464960 - 
           (71347259081*z^10)/69120 + (44479705517*z^11)/120 - 
           (1973179096497*z^12)/40)*Cf[z]^7 + ((10645*z^2)/12 - 572256*z^3)*
          Cf[z]^5*tS0[z])*tS1[z]^3 + ((10319519*z^4)/248832 - 
         (5977955*z^5)/144 + (80708049*z^6)/8)*Cf[z]^6*tS1[z]^4 - 
       (18907*Cf[z]^5*tS1[z]^5)/120) + 
     S2[z]^4*(((1588976998859*z^22)/86259599830068190248960 - 
         (2645936149976683*z^23)/20965874958697129574400 + 
         (187895616564672767*z^24)/582385415519364710400 - 
         (3275722246515463*z^25)/7988826001637376 + 
         (2519302580600633437*z^26)/9986032502046720 - 
         (1268753354039525341*z^27)/115579079884800 - 
         (13491267537862872529*z^28)/133772083200 + (85695557453292131*z^29)/
          1075200 - (44663785552810174203*z^30)/1433600 + 
         (87557943556718136567*z^31)/12800 - (1112394972737551927329*z^32)/
          1400 + (968784903628654457547*z^33)/25)*Cf[z]^10 + 
       ((-13592904974251*z^16)/1213302948998676480 + (63029252719273*z^17)/
          1404285820600320 - (119612711751263*z^18)/1547934105600 + 
         (3732978054477641*z^19)/50164531200 - (364487717133358957*z^20)/
          8360755200 + (76283933339435729*z^21)/4838400 - 
         (75931050357470661*z^22)/22400 + (544032886714538607*z^23)/1400 - 
         (3159512258895790407*z^24)/175)*Cf[z]^8*tS0[z] + 
       ((40643725*z^10)/214990848 - (118853809*z^11)/248832 + 
         (119108895749*z^12)/248832 - (453119542747*z^13)/1920 + 
         (902129193981*z^14)/16 - (25215615961641*z^15)/5)*Cf[z]^6*tS0[z]^2 + 
       ((-1407175*z^4)/2592 + (1927220*z^5)/3 - 195382296*z^6)*Cf[z]^4*
        tS0[z]^3 + (((-1401854877137*z^18)/58238541551936471040 + 
           (120575775358123*z^19)/2022171581664460800 + 
           (645625347132733*z^20)/11234286564802560 - 
           (11978544969373553*z^21)/32506616217600 + 
           (1382428781455939909*z^22)/2407897497600 - 
           (436494773625828371*z^23)/928972800 + (975592913207212553*z^24)/
            4300800 - (723405082755094737*z^25)/11200 + 
           (27693363182286323043*z^26)/2800 - (4215317773288244886*z^27)/7)*
          Cf[z]^9 + ((51674434091*z^12)/4179422085120 - (229517096741*z^13)/
            6449725440 + (1862052854377*z^14)/44789760 - 
           (31028669081287*z^15)/1244160 + (182470977906871*z^16)/23040 - 
           (95861450631339*z^17)/80 + (571539148563231*z^18)/10)*Cf[z]^7*
          tS0[z] + ((-1144625*z^6)/10368 + (23851043*z^7)/144 - 
           (981085955*z^8)/12 + 13101454692*z^9)*Cf[z]^5*tS0[z]^2 + 
         57500*Cf[z]^3*tS0[z]^3)*tS1[z] + 
       (((-9039891197*z^14)/2808571641200640 + (2064678735029*z^15)/
            27862813900800 - (85359999160873*z^16)/361184624640 + 
           (203982906123223*z^17)/619315200 - (114540104937471263*z^18)/
            464486400 + (22359632161014521*z^19)/215040 - 
           (131156010709386507*z^20)/5600 + (1546748605488943233*z^21)/700)*
          Cf[z]^8 + ((-48678341*z^8)/13436928 + (4032131017*z^9)/622080 - 
           (8978770643*z^10)/2160 + (32933883497*z^11)/30 - 
           (932958196119*z^12)/10)*Cf[z]^6*tS0[z] + 
         ((18355*z^2)/2 - 4176324*z^3)*Cf[z]^4*tS0[z]^2)*tS1[z]^2 + 
       (((572389543*z^10)/38698352640 - (28513367093*z^11)/537477120 + 
           (1058587305589*z^12)/14929920 - (1040827086253*z^13)/23040 + 
           (4443304493579*z^14)/320 - (33139203013611*z^15)/20)*Cf[z]^7 + 
         ((279697*z^4)/1944 - (2716015*z^5)/36 + 59190*z^6)*Cf[z]^5*tS0[z])*
        tS1[z]^3 + (((-39793877*z^6)/7464960 + (28846781*z^7)/3240 - 
           (873838051*z^8)/180 + (4308790341*z^9)/5)*Cf[z]^6 + 
         (16261*Cf[z]^4*tS0[z])/3)*tS1[z]^4 + ((36805*z^2)/144 - 116188*z^3)*
        Cf[z]^5*tS1[z]^5) + S2[z]^3*
      (((-5087026149205859*z^24)/326061287357657759141068800 + 
         (4761883455387023*z^25)/47921999905593439027200 - 
         (1141647127716522709*z^26)/3993499992132786585600 + 
         (39805112391322892693*z^27)/80886863266578432000 - 
         (30474427407261286090961*z^28)/53924575511052288000 + 
         (56967722590062566779591*z^29)/124825406275584000 - 
         (38402133230914896026881*z^30)/144473849856000 + 
         (15048441878931130619141*z^31)/133772083200 - 
         (3796690157956611188737*z^32)/110592000 + 
         (26411768054080897792873*z^33)/3584000 - 
         (23684520732929553366783*z^34)/22400 + 
         (182581100791222765432329*z^35)/2000 - 
         (3145097488101302063447919*z^36)/875)*Cf[z]^10 + 
       ((1821996468907*z^18)/1819954423498014720 - (2308988455164199*z^19)/
          505542895416115200 + (8633081008909573*z^20)/936190547066880 - 
         (175764255906018089*z^21)/16253308108800 + (50870515700983807*z^22)/
          6270566400 - (2809577897079083941*z^23)/696729600 + 
         (178163159843655463*z^24)/134400 - (48508538263624401*z^25)/175 + 
         (5838462672520876893*z^26)/175 - (308048640142761350964*z^27)/175)*
        Cf[z]^8*tS0[z] + ((-56699262973*z^12)/4875992432640 + 
         (53006099899*z^13)/1504935936 - (1044694203479*z^14)/23224320 + 
         (17938171963715*z^15)/580608 - (42918442192431*z^16)/3584 + 
         (1379904154735653*z^17)/560 - (14512953153730527*z^18)/70)*Cf[z]^6*
        tS0[z]^2 + ((118781*z^6)/31104 - (7230463*z^7)/432 + 
         (47838254*z^8)/3 - 4424571072*z^9)*Cf[z]^4*tS0[z]^3 + 
       88270*Cf[z]^2*tS0[z]^4 + 
       (((639662820206149*z^20)/20965874958697129574400 - 
           (853768485964511*z^21)/5392457551105228800 + 
           (491370216126964283*z^22)/1348114387776307200 - 
           (9182951018455825523*z^23)/18723810941337600 + 
           (148073710189100749439*z^24)/346737239654400 - 
           (16801185166706029267*z^25)/66886041600 + 
           (187482596118620044717*z^26)/1857945600 - 
           (610909689255967551*z^27)/22400 + (84829824650850139269*z^28)/
            17920 - (666517663821560550327*z^29)/1400 + 
           (7438309265452639205763*z^30)/350)*Cf[z]^9 + 
         ((-35871220571*z^14)/25076532510720 + (245732381599157*z^15)/
            48759924326400 - (227873014838933*z^16)/30098718720 + 
           (19682250969249133*z^17)/3135283200 - (7490346708436339*z^18)/
            2419200 + (608349557758093*z^19)/672 - (101169581370160959*z^20)/
            700 + (1686311253911931012*z^21)/175)*Cf[z]^7*tS0[z] + 
         ((49402333*z^8)/4478976 - (1179107617*z^9)/51840 + 
           (4229891321*z^10)/240 - (30279253169*z^11)/5 + 
           (3865265151552*z^12)/5)*Cf[z]^5*tS0[z]^2 + 
         ((-19945*z^2)/3 + 5536344*z^3)*Cf[z]^3*tS0[z]^3)*tS1[z] + 
       (((-83993524289029*z^16)/4044343163328921600 + (130075334450483*z^17)/
            1560317578444800 - (468133208444957*z^18)/3250661621760 + 
           (84056299360715701*z^19)/601974374400 - (923774210044026181*z^20)/
            11147673600 + (791115508995771823*z^21)/25804800 - 
           (76600302786422507*z^22)/11200 + (9249532174775404503*z^23)/
            11200 - (5550422099348277351*z^24)/140)*Cf[z]^8 + 
         ((64358233*z^10)/100776960 - (70195512781*z^11)/44789760 + 
           (632601332851*z^12)/414720 - (3171005956009*z^13)/4320 + 
           (347891020065*z^14)/2 - (80707796608104*z^15)/5)*Cf[z]^6*tS0[z] + 
         ((-1016981*z^4)/432 + (4743355*z^5)/2 - 587135736*z^6)*Cf[z]^4*
          tS0[z]^2)*tS1[z]^2 + (((776165407939*z^12)/146279772979200 - 
           (140234894633*z^13)/9405849600 + (213492688052041*z^14)/
            12541132800 - (583233408162151*z^15)/58060800 + 
           (6183765571347499*z^16)/1935360 - (5699013809722763*z^17)/11200 + 
           (42489145956406473*z^18)/1400)*Cf[z]^7 + 
         ((-19871267*z^6)/233280 + (1506174493*z^7)/12960 - 
           (6188571683*z^8)/120 + (36802184382*z^9)/5)*Cf[z]^5*tS0[z] + 
         42344*Cf[z]^3*tS0[z]^2)*tS1[z]^3 + 
       (((-20258879*z^8)/107495424 + (44659457*z^9)/276480 + 
           (3006983057*z^10)/69120 - (33320900833*z^11)/480 + 
           (613561817691*z^12)/40)*Cf[z]^6 + ((3370*z^2)/9 + 103808*z^3)*
          Cf[z]^4*tS0[z])*tS1[z]^4 + ((-548195*z^4)/10368 + (445055*z^5)/8 - 
         14212902*z^6)*Cf[z]^5*tS1[z]^5 + (2935*Cf[z]^4*tS1[z]^6)/6) + 
     S2[z]^2*(((956744569627969*z^26)/1304245149430631036564275200 - 
         (381887646173797999*z^27)/79703870242983007790039040 + 
         (394226054117194557977*z^28)/27674954945480211038208000 - 
         (4368915085946848872209*z^29)/170833055219013648384000 + 
         (73515224371689366248849*z^30)/2372681322486300672000 - 
         (13792002594404276163167*z^31)/514904800886784000 + 
         (649010197530009376841089*z^32)/38141096361984000 - 
         (19738141777421369226919*z^33)/2452488192000 + 
         (82772796867028374932699*z^34)/29196288000 - 
         (173752274261769913332307*z^35)/236544000 + 
         (1340519769479647011441951*z^36)/9856000 - 
         (476982660860948380161123*z^37)/28000 + 
         (71141334289489628354826*z^38)/55 - (61837769780781258527690616*
           z^39)/1375)*Cf[z]^10 + 
       ((-2799640677109*z^20)/109197265409880883200 + (332865696799397*z^21)/
          3033257372496691200 - (7708693205339809*z^22)/37447621882675200 + 
         (38640340261948907*z^23)/173368619827200 - 
         (13363242098696886707*z^24)/86684309913600 + 
         (66039727136058503*z^25)/928972800 - (1139539403692616057*z^26)/
          51609600 + (152352017757884207*z^27)/33600 - 
         (12980120532870976749*z^28)/22400 + (6922680792616947276*z^29)/175 - 
         (32321670819702861942*z^30)/35)*Cf[z]^8*tS0[z] + 
       ((-424182217*z^14)/1218998108160 + (539930964877*z^15)/338610585600 - 
         (858202379*z^16)/306180 + (111425547269041*z^17)/43545600 - 
         (2154523593330629*z^18)/1612800 + (902375044762449*z^19)/2240 - 
         (13075664273890731*z^20)/200 + (776482144113029238*z^21)/175)*
        Cf[z]^6*tS0[z]^2 + ((13600463*z^8)/1119744 - (627184927*z^9)/25920 + 
         (354054573*z^10)/20 - (28127097498*z^11)/5 + 650250452160*z^12)*
        Cf[z]^4*tS0[z]^3 + (-44135*z^2 + 21608496*z^3)*Cf[z]^2*tS0[z]^4 + 
       (((-37254285197579*z^22)/20965874958697129574400 + 
           (23120439314249591*z^23)/2329541662077458841600 - 
           (24271866058519073809*z^24)/970642359198941184000 + 
           (12060575141792684069*z^25)/320979616137216000 - 
           (389575325735706791381*z^26)/10402117189632000 + 
           (33556164232028518147*z^27)/1289945088000 - 
           (4297317018404263282207*z^28)/334430208000 + 
           (499014613955466481613*z^29)/110592000 - 
           (61771086885198727251*z^30)/56000 + (10001540663183727084519*z^31)/
            56000 - (17221382489632821676569*z^32)/1000 + 
           (655899588546454577828394*z^33)/875)*Cf[z]^9 + 
         ((1172254740413*z^16)/21064287309004800 - (62261987958991*z^17)/
            292559545958400 + (389554677602359*z^18)/1083553873920 - 
           (8794204946866751*z^19)/25082265600 + (902011183399975903*z^20)/
            4180377600 - (828794793496833487*z^21)/9676800 + 
           (1494276528573879*z^22)/70 - (4257080777118479229*z^23)/1400 + 
           (32964688250793131598*z^24)/175)*Cf[z]^7*tS0[z] + 
         ((1051099*z^10)/44789760 - (29810039*z^11)/622080 - 
           (245626411*z^12)/17280 + (14255947561*z^13)/240 - 
           (160249752081*z^14)/5 + (25915094570016*z^15)/5)*Cf[z]^5*
          tS0[z]^2 + ((-376631*z^4)/108 + 2792570*z^5 - 503338320*z^6)*
          Cf[z]^3*tS0[z]^3)*tS1[z] + 
       (((13195483738489*z^18)/8088686326657843200 - (209847251518259*z^19)/
            28085716412006400 + (1011052267102697*z^20)/66870753361920 - 
           (109879789998409313*z^21)/6191736422400 + 
           (111302175742131527*z^22)/8360755200 - (18437215011972785321*z^23)/
            2786918400 + (561499771030021249*z^24)/258048 - 
           (5108538340134181809*z^25)/11200 + (154480826814951354849*z^26)/
            2800 - (511669148010020642619*z^27)/175)*Cf[z]^8 + 
         ((-85071362057*z^12)/2031663513600 + (2367996060221*z^13)/
            18811699200 - (55034729633621*z^14)/348364800 + 
           (511554717205333*z^15)/4838400 - (6404323424347999*z^16)/161280 + 
           (22166022310763217*z^17)/2800 - (228409811012589327*z^18)/350)*
          Cf[z]^6*tS0[z] + ((341207*z^6)/2160 - (32056003*z^7)/120 + 
           (1475094327*z^8)/10 - (132863682456*z^9)/5)*Cf[z]^4*tS0[z]^2 - 
         145536*Cf[z]^2*tS0[z]^3)*tS1[z]^2 + 
       (((-79804228267*z^14)/117023818383360 + (77775511742629*z^15)/
            32506616217600 - (3220506033165641*z^16)/902961561600 + 
           (72850471555853*z^17)/24883200 - (27648420028600859*z^18)/
            19353600 + (11130033953275033*z^19)/26880 - 
           (369211871512313253*z^20)/5600 + (1554782577753035079*z^21)/350)*
          Cf[z]^7 + ((27340619*z^8)/2239488 - (186337979*z^9)/7776 + 
           (349610749*z^10)/20 - 5609160789*z^11 + (3333243410172*z^12)/5)*
          Cf[z]^5*tS0[z] + (-28780*z^2 + 13542912*z^3)*Cf[z]^3*tS0[z]^2)*
        tS1[z]^3 + (((12389347*z^10)/107495424 - (1619598485*z^11)/5971968 + 
           (312738020051*z^12)/1244160 - (2638809690119*z^13)/23040 + 
           (1637839555005*z^14)/64 - (8943759888021*z^15)/4)*Cf[z]^6 + 
         ((-25225*z^4)/27 + (2425375*z^5)/3 - 169752600*z^6)*Cf[z]^4*tS0[z])*
        tS1[z]^4 + (((-54113*z^6)/25920 + (7233073*z^7)/5760 + 
           (115004893*z^8)/480 - (1687108401*z^9)/10)*Cf[z]^5 - 
         8400*Cf[z]^3*tS0[z])*tS1[z]^5 + ((-4975*z^2)/12 + 190740*z^3)*
        Cf[z]^4*tS1[z]^6) + S2[z]*(-21856886889596015171/60072226770124800 + 
       (112084810825804020271*z)/139056080486400 - (2007847606206385327*z^2)/
        3218890752 + ((-5099788523914573*z^28)/
          774721618761794835719179468800 + (428303982139838623*z^29)/
          20495280919624202003152896000 + (332938097585805493297*z^30)/
          9298784861681350908837888000 - (7543487332758474143051*z^31)/
          23481779953740785123328000 + (12069209782092388785860003*z^32)/
          14349976638397146464256000 - (4295490293449505238137711*z^33)/
          3321753851480820940800 + (6891647369542368785679703*z^34)/
          5126163351050649600 - (44469101851425987907382741*z^35)/
          44497945755648000 + (112089191029351143939851809*z^36)/
          206009008128000 - (289138214321690057916103*z^37)/1324646400 + 
         (70590872030718198856737683*z^38)/1103872000 - 
         (91961974268408266740242667*z^39)/6899200 + 
         (2309902994866001692690804869*z^40)/1232000 - 
         (6148728432913628405829406257*z^41)/38500 + 
         (1712630386903490969068139994*z^42)/275)*Cf[z]^10 + 
       (47994375988735/188116992 - (15957693295247*z)/62208 + 
         ((-1437092259341*z^22)/1310367184918570598400 + 
           (40077812395513*z^23)/4549886058745036800 - 
           (905428592895556259*z^24)/30332573724966912000 + 
           (2690195943980822957*z^25)/46809527353344000 - 
           (3829544818663070791*z^26)/54177693696000 + 
           (1061613083775444289871*z^27)/18059231232000 - 
           (1418471188792527663803*z^28)/41803776000 + 
           (188768405594933406967*z^29)/13824000 - 
           (422008459684932751269*z^30)/112000 + (9532519729578978620247*
             z^31)/14000 - (63606350668561664965227*z^32)/875 + 
           (3045274315389094791279888*z^33)/875)*Cf[z]^8)*tS0[z] + 
       (-688662869/36 + ((944098836091*z^16)/10532143654502400 - 
           (10453581876607*z^17)/24379962163200 + (49006909216511*z^18)/
            56435097600 - (6116533311030467*z^19)/6270566400 + 
           (46495677823468289*z^20)/69672960 - (460947701283697721*z^21)/
            1612800 + (1681441886744279397*z^22)/22400 - 
           (1939475854302936003*z^23)/175 + (123517359617738345514*z^24)/175)*
          Cf[z]^6)*tS0[z]^2 + ((-31087807*z^10)/16796160 + 
         (9398476381*z^11)/1866240 - (273339851551*z^12)/51840 + 
         (322418338787*z^13)/120 - (3354298567398*z^14)/5 + 
         (329548940165664*z^15)/5)*Cf[z]^4*tS0[z]^3 + 
       ((203021*z^4)/18 - 10106915*z^5 + 2286051768*z^6)*Cf[z]^2*tS0[z]^4 + 
       (14305936756561/622080 + ((15398833606483231*z^24)/
            597779026822372558425292800 - (38284323210430613*z^25)/
            329463749350954893312000 + (2571320379130205557*z^26)/
            12812479141426023628800 - (113129003497443234659*z^27)/
            889755495932362752000 - (4407191175315442333531*z^28)/
            49430860885131264000 + (891593318154671143513*z^29)/
            3575727783936000 - (42711061933923499074389*z^30)/
            176579149824000 + (86437600056127646455999*z^31)/613122048000 - 
           (154171992513687744163633*z^32)/2838528000 + 
           (9873537288473505462609*z^33)/704000 - (263092992748600550151627*
             z^34)/112000 + (8921527922166298974170037*z^35)/38500 - 
           (98679421612941277058489394*z^36)/9625)*Cf[z]^9 + 
         ((10773180023*z^18)/7899107740876800 - (63931974644131*z^19)/
            7021429103001600 + (13882509514751411*z^20)/585119091916800 - 
           (90487749258948577*z^21)/2708884684800 + (120029269368377543*z^22)/
            4180377600 - (15332458819602103*z^23)/967680 + 
           (228296383865962471*z^24)/40320 - (508352962882106133*z^25)/400 + 
           (28572754530659769306*z^26)/175 - (1606336632158225795568*z^27)/
            175)*Cf[z]^7*tS0[z] + ((-102171709673*z^12)/1015831756800 + 
           (263004780197*z^13)/783820800 - (809867222249*z^14)/1814400 + 
           (11602209337483*z^15)/37800 - (97370798526317*z^16)/840 + 
           (4007206198436076*z^17)/175 - (324438647464693728*z^18)/175)*
          Cf[z]^5*tS0[z]^2 + ((7769059*z^6)/6480 - (303018583*z^7)/180 + 
           (3908233919*z^8)/5 - (598426607664*z^9)/5)*Cf[z]^3*tS0[z]^3 - 
         1271088*Cf[z]*tS0[z]^4)*tS1[z] + 
       (((-33433790165939*z^20)/873578123279047065600 + 
           (7079103672848563*z^21)/40443431633289216000 - 
           (11445034282926583*z^22)/32097961613721600 + 
           (6677092192139234519*z^23)/15603175784448000 - 
           (925986208122716933*z^24)/2751882854400 + 
           (20273694324612848849*z^25)/111476736000 - 
           (159466509466692256457*z^26)/2322432000 + 
           (96384333594986874421*z^27)/5376000 - (694777196911801423221*z^28)/
            224000 + (1122337825457001869277*z^29)/3500 - 
           (13108650629551751188458*z^30)/875)*Cf[z]^8 + 
         ((-1518071*z^14)/17414258688 + (328389257993*z^15)/338610585600 - 
           (4983292604557*z^16)/2351462400 + (36268315722721*z^17)/17418240 - 
           (221651768157721*z^18)/201600 + (2170335857649889*z^19)/6720 - 
           (4952331986680053*z^20)/100 + (107401623258965832*z^21)/35)*
          Cf[z]^6*tS0[z] + ((4718123*z^8)/186624 - (100312247*z^9)/2160 + 
           (1248344139*z^10)/40 - (45383548581*z^11)/5 + (4806020722608*z^12)/
            5)*Cf[z]^4*tS0[z]^2 + (-76120*z^2 + 28294848*z^3)*Cf[z]^2*
          tS0[z]^3)*tS1[z]^2 + (((13848563187493*z^16)/505542895416115200 - 
           (63807777958213*z^17)/585119091916800 + (412459380849023*z^18)/
            2167107747840 - (28593992217886363*z^19)/150493593600 + 
           (141567205337734337*z^20)/1194393600 - (228652175153408441*z^21)/
            4838400 + (1052540135515780733*z^22)/89600 - 
           (4655038698418829031*z^23)/2800 + (1434211859299673655*z^24)/14)*
          Cf[z]^7 + ((-3594241*z^10)/8398080 + (2096222411*z^11)/1866240 - 
           (182601610139*z^12)/155520 + (146313541421*z^13)/240 - 
           (1569552428007*z^14)/10 + (80027543099736*z^15)/5)*Cf[z]^5*
          tS0[z] + ((99295*z^4)/54 - 2099480*z^5 + 571224096*z^6)*Cf[z]^3*
          tS0[z]^2)*tS1[z]^3 + (((-115543846319*z^12)/12189981081600 + 
           (2153125872323*z^13)/75246796800 - (148842873259309*z^14)/
            4180377600 + (1358225914765477*z^15)/58060800 - 
           (1104860414719213*z^16)/129024 + (18549886213007571*z^17)/11200 - 
           (185131496671002621*z^18)/1400)*Cf[z]^6 + 
         ((456823*z^6)/3240 - (9049613*z^7)/45 + (1420918168*z^8)/15 - 
           (73575363456*z^9)/5)*Cf[z]^4*tS0[z] - 113280*Cf[z]^2*tS0[z]^2)*
        tS1[z]^4 + (((11047499*z^8)/8957952 - (232376479*z^9)/103680 + 
           (271502903*z^10)/180 - (8898361171*z^11)/20 + (242349115374*z^12)/
            5)*Cf[z]^5 + (-3200*z^2 + 1134720*z^3)*Cf[z]^3*tS0[z])*tS1[z]^5 + 
       ((26725*z^4)/1296 - (309875*z^5)/12 + 7360470*z^6)*Cf[z]^4*tS1[z]^6 - 
       700*Cf[z]^3*tS1[z]^7)
 
Ff[7] = -620980975021910427513900557/704996673073233300504453316608000 + 
     (25538652208114807021353725057*z)/1631936743225077084501049344000 - 
     (4962124795952256834813968479*z^2)/96862342309180738633728000 + 
     (701741748339810554885387467717*z^3)/8744517014023261126656000 - 
     (265821493726246330943560091633*z^4)/4048387506492250521600 + 
     (9443632331908977412511816287*z^5)/347083976894054400 - 
     (80015854382630030383964785*z^6)/17708366168064 + 
     ((-85515600804515253145714583*z^36)/
        1257164230561448823148604513426562937887129600 + 
       (4801698838504128247848695011*z^37)/
        14550511927794546564219959646140774744064000 - 
       (8124750242106680903538343051*z^38)/
        11227246857866162472391944171404918784000 + 
       (24561543393891880454174363851*z^39)/
        25988997356171672389796167063437312000 - 
       (4901554799667653568486409801*z^40)/
        6015971610224924164304668301721600 + (11267987916611384973113756863*
         z^41)/23209767014756651868459368448000 - 
       (32788282756533680134622971043*z^42)/161178937602476749086523392000 + 
       (22331769799687370970206764067*z^43)/373099392598325808070656000 - 
       (93517573705426433613659333*z^44)/7676942234533452840960 + 
       (20121895647908386488462402847*z^45)/11995222241458520064000 - 
       (4232886054053429809120444573*z^46)/27766718151524352000 + 
       (171477065504465754117689119*z^47)/21424936845312000)*Cf[z]^12 + 
     ((-2070625*z^2)/24576 + (81360075*z^3)/1024)*Cf[z]^12*S2[z]^17 + 
     (19675*Cf[z]^12*S2[z]^18)/96 + 
     (23403012094923335844377393/11332894050174146420146176000 - 
       (316770404443571742335639983*z)/26233551042069783379968000 + 
       (1616396588125229175169628489*z^2)/60725812597383757824000 - 
       (14209652220168347046730517*z^3)/511160038698516480 + 
       (905053327230333277794011857*z^4)/65078245667635200 - 
       (11574031648641943600806013*z^5)/4304116776960 + 
       ((19054504458814336310717647*z^30)/
          701702928616635154524496510712807424000 - 
         (21648045899073911008770443*z^31)/
          77348206417177596398202878164992000 + (80362014134689568269725839*
           z^32)/62666370939842960044840294809600 - 
         (21762817928012416761063433*z^33)/6199189907787567272558592000 + 
         (1671307671045882907119169463*z^34)/258299579491148636356608000 - 
         (2657272697906349897543626783*z^35)/310916160498604840058880 + 
         (25147935307744312316358870283*z^36)/2998805560364630016000 - 
         (389831564501088939357839923369*z^37)/62475115840929792000 + 
         (2057421604971169639785106558751*z^38)/578473294823424000 - 
         (2082759212412480097757012837399*z^39)/1339058552832000 + 
         (482725697560924728164341481*z^40)/931392000 - 
         (8925409370577412084982560631*z^41)/68992000 + 
         (2887479037132502177801550321*z^42)/123200 - 
         (2242076261609888290307224989*z^43)/770 + 
         (2136614489882158715202821072364*z^44)/9625 - 
         (430856634180092828442611269248*z^45)/55)*Cf[z]^10)*tS0[z] + 
     (-146758792365597725611/233560817682245222400 + 
       (1499030565125171280023*z)/540650040931123200 - 
       (605776311723454117181*z^2)/139056080486400 + 
       (2790282310013921380961*z^3)/965667225600 - (30848897451407148305*z^4)/
        44706816 + ((-1846670819279698472617*z^24)/
          502134382530792949077245952000 + (32063894386293740814421*z^25)/
          1162348107710168863604736000 - (248519763999767446173227*z^26)/
          2690620619699464962048000 + (1141375168599889939798309*z^27)/
          6228288471526539264000 - (5203516206655656863068993*z^28)/
          21626001637244928000 + (8839698226384458323835227*z^29)/
          40048151180083200 - (134713771410231348960720163*z^30)/
          927040536576000 + (563160123099608875729907*z^31)/8128512000 - 
         (32204552757053392128082871*z^32)/1354752000 + 
         (8986094793235517826175201*z^33)/1568000 - 
         (3689645560193543435108199*z^34)/4000 + 
         (77940888885903133704372768*z^35)/875 - 
         (683557306547910051670818696*z^36)/175)*Cf[z]^8)*tS0[z]^2 + 
     (694486752907651/10448555212800 - (22833008151853*z)/99532800 + 
       (176816389729385*z^2)/746496 - (1977787821570337*z^3)/25920 + 
       ((176351927461537111*z^18)/1091972654098808832000 - 
         (105126534226442273*z^19)/120367356051456000 + 
         (400049962781404769*z^20)/195039697305600 - 
         (18626665872329481473*z^21)/6772211712000 + 
         (12149684016677714107*z^22)/5225472000 - 
         (373708252853214914183*z^23)/290304000 + 
         (33936382799549041405373*z^24)/72576000 - 
         (6026937550063378784477*z^25)/56000 + (49919881751498462189679*z^26)/
          3500 - (726472951903922367657132*z^27)/875)*Cf[z]^6)*tS0[z]^3 + 
     (-201277219/11520 + (23115107917*z)/640 - (33756082371*z^2)/2 + 
       ((-932400157*z^12)/398131200 + (540806487823*z^13)/66355200 - 
         (2657358539249*z^14)/230400 + (27193598568647*z^15)/3200 - 
         (17230194748911*z^16)/5 + (18278763416173728*z^17)/25 - 
         (1589186192168657664*z^18)/25)*Cf[z]^4)*tS0[z]^4 + 
     ((2107231*z^6)/80 - (920978793*z^7)/20 + (125290840311*z^8)/5 - 
       (21785989445136*z^9)/5)*Cf[z]^2*tS0[z]^5 - 82936224*tS0[z]^6 + 
     (-11323494162927160065065351/78700653126209350139904000 + 
       (49492282401882169232421707*z)/182177437792151273472000 - 
       (290649752623490042019961*z^2)/5622760425683681280 - 
       (355389905385208946033221*z^3)/3549722490961920 + 
       (82889160917877404574149*z^4)/1291235033088 + 
       ((49005746626026179603*z^32)/121823425107054714327169533109862400 - 
         (344347978260238586635184377*z^33)/
          58475244051386262877041375892733952000 + 
         (194186356721753039304063451*z^34)/
          5639973384585866404035626532864000 - (11964396455478777670334381681*
           z^35)/104443951566404933408067158016000 + 
         (916175356589941634007889267*z^36)/3663157672783562479239168000 - 
         (30864098112868401173631427697*z^37)/79949869842498387443712000 + 
         (3420091697087455784863679312831*z^38)/7772904012465121001472000 - 
         (197333604052732172174535190933*z^39)/519024039293878272000 + 
         (1914896383970814225477951226907*z^40)/7572741314052096000 - 
         (6282209436577625540201669369741*z^41)/48206107901952000 + 
         (2763480666190248466865797883*z^42)/53137244160 - 
         (4115979957254208201761870763569*z^43)/258306048000 + 
         (13205335333530878228345350539201*z^44)/3587584000 - 
         (13914231437262132643528682472681*z^45)/22422400 + 
         (91842769853774137232769906332397*z^46)/1274000 - 
         (4520394485800809209572627222323408*z^47)/875875 + 
         (171848162997105907454852681484360*z^48)/1001)*Cf[z]^11 + 
       (1575904422284714077/60072226770124800 - (83628886391225262517*z)/
          2503009448755200 - (4804877740662047*z^2)/5364817920 + 
         (2026991246677685507*z^3)/178827264 + 
         ((-120254666477783921*z^26)/774898738473445909069824000 + 
           (2100845673975424996727*z^27)/1549797476946891818139648000 - 
           (112539162472301032297171*z^28)/21524964957595719696384000 + 
           (5335515165974281681400723*z^29)/448436769949910827008000 - 
           (3103022761347343403766623*z^30)/173008013097959424000 + 
           (547810726250820757537263989*z^31)/28834668849659904000 - 
           (779479735929263698710453571*z^32)/53397534906777600 + 
           (3062959005991865269311948263*z^33)/370816214630400 - 
           (1644952207595223354421446089*z^34)/476872704000 + 
           (139337026147265341598248501*z^35)/132464640 - 
           (15730487545385421851373182949*z^36)/68992000 + 
           (143630461632605454174232085769*z^37)/4312000 - 
           (22659774493071299208747952419*z^38)/7700 + 
           (1601631758626663282462574681364*z^39)/13475)*Cf[z]^9)*tS0[z] + 
       (650033927725/13436928 - (74651291704675*z)/746496 + 
         (20188296737875*z^2)/432 + ((12617332307129*z^20)/
            1137471514686259200 - (88393524131973647*z^21)/
            1263857238540288000 + (27697325884342957*z^22)/144473849856000 - 
           (32750593294441883149*z^23)/108355387392000 + 
           (5503533706942930526687*z^24)/18059231232000 - 
           (5167692564577878299473*z^25)/25082265600 + 
           (18358616645227194357377*z^26)/193536000 - 
           (118703996119218425762327*z^27)/4032000 + 
           (165385716549061008570867*z^28)/28000 - 
           (173235433014936432310761*z^29)/250 + (6326214744299755067243424*
             z^30)/175)*Cf[z]^7)*tS0[z]^2 + 
       (123981033373/38880 - (26823014948*z)/9 + 
         ((-92662166713*z^14)/304749527040 + (83818730615941*z^15)/
            67722117120 - (1641295166731457*z^16)/783820800 + 
           (41738888950132109*z^17)/21772800 - (51900621943675583*z^18)/
            50400 + (91187849609240021*z^19)/280 - (9852471851741484804*z^20)/
            175 + (719825419945151900064*z^21)/175)*Cf[z]^5)*tS0[z]^3 + 
       (641787300 + ((910101*z^8)/256 - (1328174907*z^9)/160 + 
           (271986981129*z^10)/40 - (11869197785271*z^11)/5 + 
           (1509495969183408*z^12)/5)*Cf[z]^3)*tS0[z]^4 + 
       (-14810040*z^2 + 6611201856*z^3)*Cf[z]*tS0[z]^5)*tS1[z] + 
     (-53357040501004838363/3754514173132800 + (72965185659738503407*z)/
        2483144294400 - (959731800680169571*z^2)/57480192 + 
       ((-94825579129328567*z^28)/451920944277713654169521356800 + 
         (1071621044186112811469*z^29)/251067191265396474538622976000 - 
         (56229738795181466105257*z^30)/2324696215420337727209472000 + 
         (763165355632333662987959*z^31)/10762482478797859848192000 - 
         (38947484656163030559551167*z^32)/298957846633273884672000 + 
         (12160210590167887019265649*z^33)/74146291327696896000 - 
         (1426311154508057876299928507*z^34)/9611556283219968000 + 
         (26442688687644171460234540573*z^35)/266987674533888000 - 
         (112891587356902958431595833*z^36)/2288988979200 + 
         (8736119296850559330565852469*z^37)/476872704000 - 
         (2075323778973233445141062059*z^38)/413952000 + 
         (9685714326414460764071891013*z^39)/9856000 - 
         (281776794171341233611848800653*z^40)/2156000 + 
         (2849416660626630724313282639097*z^41)/269500 - 
         (5296664926183579647450715665216*z^42)/13475)*Cf[z]^10 + 
       (-514207076021645/125411328 + (157800888283153*z)/41472 + 
         ((69675769723957*z^22)/485321179599470592000 - 
           (127956419954801783*z^23)/121330294899867648000 + 
           (67468325922579454541*z^24)/20221715816644608000 - 
           (26666140787474144861*z^25)/4388393189376000 + 
           (6187226078332141954229*z^26)/866843099136000 - 
           (68758196922015346136891*z^27)/12039487488000 + 
           (23708178900949601343799*z^28)/7431782400 - 
           (414120041595492571125959*z^29)/331776000 + 
           (903554695203788008297153*z^30)/2688000 - 
           (3330182960661798011639871*z^31)/56000 + 
           (6230973846573784980388377*z^32)/1000 - 
           (256702804852706302066028874*z^33)/875)*Cf[z]^8)*tS0[z] + 
       (-10661940625/12 + ((-29707896785633*z^16)/3510714551500800 + 
           (981372522283603*z^17)/24379962163200 - (18146380382877251*z^18)/
            225740390400 + (61898270763751703*z^19)/696729600 - 
           (93027301664016277*z^20)/1555200 + (122134425024552941027*z^21)/
            4838400 - (146556429876989667607*z^22)/22400 + 
           (334183322849073713361*z^23)/350 - (2106680010540086808846*z^24)/
            35)*Cf[z]^6)*tS0[z]^2 + ((899051593*z^10)/5598720 - 
         (136519019567*z^11)/311040 + (3978769074073*z^12)/8640 - 
         (5633258530825*z^13)/24 + 58546843575327*z^14 - 
         (28721276683667568*z^15)/5)*Cf[z]^4*tS0[z]^3 + 
       ((-1915785*z^4)/2 + 853634700*z^5 - 189251432640*z^6)*Cf[z]^2*
        tS0[z]^4)*tS1[z]^2 + (53789199857747/311040 + 
       ((-17809787513634223*z^24)/65382081058696998577766400 + 
         (1154260995261451591*z^25)/2421558557729518465843200 + 
         (5426914347813056771*z^26)/2491315388610615705600 - 
         (7588386610548542786893*z^27)/778536058940817408000 + 
         (388142404786561203622273*z^28)/21626001637244928000 - 
         (993649478814308701698913*z^29)/50060188975104000 + 
         (40705162772281759856843869*z^30)/2781121609728000 - 
         (72321695766572029081469813*z^31)/9656672256000 + 
         (159977202782374587775392617*z^32)/59609088000 - 
         (549191186990924997403873*z^33)/827904 + 
         (8470518650991151345875357*z^34)/78400 - 
         (1409269670966151524407632453*z^35)/134750 + 
         (30760294802225168946886288758*z^36)/67375)*Cf[z]^9 + 
       ((-13428436133017*z^18)/280857164120064000 + (10175501331904429*z^19)/
          35107145515008000 - (83792790400573787*z^20)/117023818383360 + 
         (2197923869028364781*z^21)/2257403904000 - 
         (17057553968229565333*z^22)/20901888000 + 
         (1538383841286023219891*z^23)/3483648000 - 
         (15028415296649788869259*z^24)/96768000 + 
         (7703067776820836173713*z^25)/224000 - 
         (61115476053801794506731*z^26)/14000 + 
         (30335347209962725427961*z^27)/125)*Cf[z]^7*tS0[z] + 
       ((604419451681*z^12)/253957939200 - (18337280594753*z^13)/2351462400 + 
         (147464436181091*z^14)/14515200 - (1377365253521333*z^15)/201600 + 
         (50847455778330473*z^16)/20160 - (170497836706355121*z^17)/350 + 
         (6753252353146816644*z^18)/175)*Cf[z]^5*tS0[z]^2 + 
       ((-9337651*z^6)/405 + (1314789823*z^7)/45 - (61206265876*z^8)/5 + 
         (8468659601856*z^9)/5)*Cf[z]^3*tS0[z]^3 - 17962560*Cf[z]*tS0[z]^4)*
      tS1[z]^3 + (((92521577483407*z^20)/218394530819761766400 - 
         (61148567534034473*z^21)/30332573724966912000 + 
         (404444930508450589*z^22)/93619054706688000 - 
         (21516345815953324487*z^23)/3900793946112000 + 
         (168345748411987899281*z^24)/36118462464000 - 
         (684182092018421224409*z^25)/250822656000 + 
         (7802613678851655240679*z^26)/6967296000 - 
         (12316090837099620287957*z^27)/38707200 + 
         (5355697670624966080047*z^28)/89600 - (187324437299832904803129*
           z^29)/28000 + (591605680382976622911741*z^30)/1750)*Cf[z]^8 + 
       ((-113175131*z^14)/18059231232 + (1565988516499*z^15)/75246796800 - 
         (1233878294888801*z^16)/37623398400 + (7955714759687507*z^17)/
          261273600 - (55895599846247179*z^18)/3225600 + 
         (19855406549731813*z^19)/3360 - (154829539035907569*z^20)/140 + 
         (15268906626821664966*z^21)/175)*Cf[z]^6*tS0[z] + 
       ((1274689*z^8)/46656 - (1187399753*z^9)/6480 + (6355806571*z^10)/30 - 
         (446324712588*z^11)/5 + (64197722261808*z^12)/5)*Cf[z]^4*tS0[z]^2 + 
       (-2114800*z^2 + 936910080*z^3)*Cf[z]^2*tS0[z]^3)*tS1[z]^4 + 
     (((-85781190799*z^16)/376147987660800 + (40159984166969*z^17)/
          41794220851200 - (317785977980941*z^18)/180592312320 + 
         (572498799830651*z^19)/313528320 - (408790051693747907*z^20)/
          348364800 + (1156811204525548433*z^21)/2419200 - 
         (772401445180384841*z^22)/6400 + (6039390060680047047*z^23)/350 - 
         (187335414529442796753*z^24)/175)*Cf[z]^7 + 
       ((7300783*z^10)/995328 - (4898880473*z^11)/248832 + 
         (2117917602617*z^12)/103680 - (14886828685157*z^13)/1440 + 
         (51332109193323*z^14)/20 - (1255070557065132*z^15)/5)*Cf[z]^5*
        tS0[z] + ((-739750*z^4)/9 + 72624200*z^5 - 15968318400*z^6)*Cf[z]^3*
        tS0[z]^2)*tS1[z]^5 + 
     (((20098399901*z^12)/380936908800 - (9182800442953*z^13)/56435097600 + 
         (3943785636617*z^14)/19353600 - (968336663301407*z^15)/7257600 + 
         (1949757427681729*z^16)/40320 - (6455872820393763*z^17)/700 + 
         (126788961973899546*z^18)/175)*Cf[z]^6 + 
       ((-160091*z^6)/144 + (51772453*z^7)/36 - (1848573902*z^8)/3 + 
         87433300224*z^9)*Cf[z]^4*tS0[z] - 696000*Cf[z]^2*tS0[z]^2)*
      tS1[z]^6 + (((-186265*z^8)/69984 + (58790519*z^9)/15552 - 
         (89487547*z^10)/48 + 353018947*z^11 - 16702926192*z^12)*Cf[z]^5 + 
       (-40500*z^2 + 17798400*z^3)*Cf[z]^3*tS0[z])*tS1[z]^7 + 
     ((-113375*z^4)/216 + (1379000*z^5)/3 - 100202400*z^6)*Cf[z]^4*tS1[z]^8 - 
     (8000*Cf[z]^3*tS1[z]^9)/3 + S2[z]^16*
      (((417614075*z^4)/31850496 - (63953825*z^5)/2304 + 
         (7167488865*z^6)/512)*Cf[z]^12 + (5585525*Cf[z]^11*tS1[z])/3072) + 
     S2[z]^15*(((-221320025*z^6)/382205952 + (5502823165*z^7)/1769472 - 
         (48271459985*z^8)/12288 + (375281305245*z^9)/256)*Cf[z]^12 - 
       (1175075*Cf[z]^10*tS0[z])/1536 + ((-28808675*z^2)/36864 + 
         (345827115*z^3)/512)*Cf[z]^11*tS1[z]) + 
     S2[z]^14*(((-816814565*z^8)/7739670528 + (49893722467*z^9)/573308928 + 
         (186366766811*z^10)/884736 - (902395546823*z^11)/3072 + 
         (12726636677253*z^12)/128)*Cf[z]^12 + 
       ((449275*z^2)/1536 - (33260895*z^3)/128)*Cf[z]^10*tS0[z] + 
       ((1692241115*z^4)/11943936 - (14119436675*z^5)/55296 + 
         (29353367225*z^6)/256)*Cf[z]^11*tS1[z] + (6217765*Cf[z]^10*tS1[z]^2)/
        1152) + S2[z]^13*(((12993048053*z^10)/660451885056 - 
         (4815689866397*z^11)/82556485632 + (2711586153431*z^12)/47775744 - 
         (1862632106927*z^13)/147456 - (1263627036389*z^14)/128 + 
         (280436173107543*z^15)/64)*Cf[z]^12 + 
       ((-154063985*z^4)/3981312 + (737265025*z^5)/9216 - 
         (4962117705*z^6)/128)*Cf[z]^10*tS0[z] + 
       (((-397649167*z^6)/31850496 + (151591833883*z^7)/3981312 - 
           (42517608241*z^8)/1152 + (1494992341941*z^9)/128)*Cf[z]^11 - 
         (1742045*Cf[z]^9*tS0[z])/384)*tS1[z] + 
       ((-14362375*z^2)/6144 + (1446105655*z^3)/768)*Cf[z]^10*tS1[z]^2) + 
     S2[z]^12*(((-29960072230265*z^12)/23110532361879552 + 
         (106802333027689*z^13)/17832200896512 - (216217757030651*z^14)/
          20639121408 + (4970666668977455*z^15)/573308928 - 
         (1414099038562571*z^16)/442368 + (210484319961053*z^17)/1024 + 
         (7129833922166175*z^18)/64)*Cf[z]^12 + 
       ((-70493077*z^6)/143327232 - (9639065273*z^7)/1990656 + 
         (4641451469*z^8)/576 - (25420192521*z^9)/8)*Cf[z]^10*tS0[z] + 
       (1996765*Cf[z]^8*tS0[z]^2)/384 + 
       (((109035213805*z^8)/743008370688 - (1703030652185*z^9)/859963392 + 
           (5350822118681*z^10)/1327104 - (55503103760801*z^11)/18432 + 
           (100260339933273*z^12)/128)*Cf[z]^11 + 
         ((31233725*z^2)/13824 - (317035115*z^3)/192)*Cf[z]^9*tS0[z])*
        tS1[z] + ((33199523695*z^4)/71663616 - (122860832855*z^5)/165888 + 
         (116123492083*z^6)/384)*Cf[z]^10*tS1[z]^2 + 
       (133144165*Cf[z]^9*tS1[z]^3)/20736) + 
     S2[z]^11*(((-131236735739*z^14)/11555266180939776 - 
         (5219244913247*z^15)/46809527353344 + (2321385496761101*z^16)/
          4623163195392 - (127886421390663769*z^17)/160526499840 + 
         (38537089203776923*z^18)/61931520 - (17436845431275887*z^19)/71680 + 
         (671327646865577829*z^20)/17920 + (591246847005452451*z^21)/1120)*
        Cf[z]^12 + ((80481334805*z^8)/92876046336 - (685553077999*z^9)/
          429981696 + (240774839581*z^10)/331776 + (763755966793*z^11)/4608 - 
         (2159996889615*z^12)/16)*Cf[z]^10*tS0[z] + 
       ((-13283425*z^2)/6912 + (148927405*z^3)/96)*Cf[z]^8*tS0[z]^2 + 
       (((38050545253*z^10)/371504185344 - (133981747421*z^11)/644972544 + 
           (5207655648329*z^12)/95551488 + (17357381502259*z^13)/110592 - 
           (71607686386991*z^14)/512 + (1125880690680459*z^15)/32)*Cf[z]^11 + 
         ((-2249838145*z^4)/4478976 + (30427824185*z^5)/41472 - 
           (26129289301*z^6)/96)*Cf[z]^9*tS0[z])*tS1[z] + 
       (((-1978720817*z^6)/35831808 + (32799109691*z^7)/248832 - 
           (1970696193107*z^8)/18432 + (3785524832709*z^9)/128)*Cf[z]^10 - 
         (2543815*Cf[z]^8*tS0[z])/864)*tS1[z]^2 + 
       ((-26602025*z^2)/10368 + (47905985*z^3)/24)*Cf[z]^9*tS1[z]^3) + 
     S2[z]^10*(((8117275663894483*z^16)/838634998347885182976 - 
         (70294718015484989*z^17)/1941284718397882368 + 
         (2303256925238465881*z^18)/44937146259210240 - 
         (5777887439485989679*z^19)/208042343792640 - 
         (3318333405686133271*z^20)/481579499520 + (9387923829285196789*z^21)/
          557383680 - (5471023535926424293*z^22)/645120 + 
         (29678918181829030059*z^23)/17920 - (71131527158696824779*z^24)/
          1120)*Cf[z]^12 + ((-568229467703*z^10)/4458050224128 + 
         (23383967705797*z^11)/61917364224 - (607165086004549*z^12)/
          1433272320 + (78556789709591*z^13)/368640 - (307642700633731*z^14)/
          7680 - (63291226976433*z^15)/160)*Cf[z]^10*tS0[z] + 
       ((2207532905*z^4)/8957952 - (4650591905*z^5)/10368 + 
         (18867526447*z^6)/96)*Cf[z]^8*tS0[z]^2 + 
       (((-143067810477973*z^12)/10110857908322304 + (3038549202875875*z^13)/
            62412703137792 - (47080927698566471*z^14)/722369249280 + 
           (80098562465839811*z^15)/2006581248 - (61722959614175761*z^16)/
            7741440 - (41734454115046001*z^17)/17920 + 
           (1100144295804143061*z^18)/1120)*Cf[z]^11 + 
         ((12789636367*z^6)/214990848 - (202478371891*z^7)/1492992 + 
           (2849201724157*z^8)/27648 - (1683738683921*z^9)/64)*Cf[z]^9*
          tS0[z] + (10779785*Cf[z]^7*tS0[z]^2)/864)*tS1[z] + 
       (((788670350455*z^8)/185752092672 - (11763909863183*z^9)/859963392 + 
           (22190788319059*z^10)/1327104 - (170299105907495*z^11)/18432 + 
           (250621243055799*z^12)/128)*Cf[z]^10 + 
         ((73924825*z^2)/41472 - (652619705*z^3)/576)*Cf[z]^8*tS0[z])*
        tS1[z]^2 + ((1590173645*z^4)/3359232 - (179556910535*z^5)/248832 + 
         (20361370367*z^6)/72)*Cf[z]^9*tS1[z]^3 + (29181145*Cf[z]^8*tS1[z]^4)/
        10368) + S2[z]^9*(((-17401924748200819*z^18)/
          20127239960349244391424 + (6079970301681658873*z^19)/
          1397724997246475304960 - (20374814202205803301*z^20)/
          2156983020442091520 + (24488089055061359707*z^21)/
          2139864107581440 - (287423376915792906013*z^22)/34673723965440 + 
         (22324472288100616561*z^23)/6370099200 - (26738573066941955125*z^24)/
          37158912 - (156377610332936581*z^25)/430080 + 
         (1027829362398116702373*z^26)/44800 - (4459182719113498734531*z^27)/
          2800)*Cf[z]^12 + ((99881004428363*z^12)/13481143877763072 - 
         (979001298273647*z^13)/31206351568896 + (3816015893582341*z^14)/
          72236924928 - (4197678911586761*z^15)/92897280 + 
         (7880458972990283*z^16)/387072 - (1950455419203617*z^17)/448 + 
         (10009538630068041*z^18)/35)*Cf[z]^10*tS0[z] + 
       ((330336175*z^6)/53747712 + (25693471895*z^7)/1492992 - 
         (49437154975*z^8)/1536 + (394734644351*z^9)/32)*Cf[z]^8*tS0[z]^2 - 
       (44992345*Cf[z]^6*tS0[z]^3)/1296 + 
       (((466732806617759*z^14)/485321179599470592 - 
           (289810235052883357*z^15)/67405719388815360 + 
           (984062315153987*z^16)/122305904640 - (47955238930994867*z^17)/
            5945425920 + (7606192976408139451*z^18)/1672151040 - 
           (82324677822453509*z^19)/61440 + (2489572917352506597*z^20)/
            17920 + (2291576558107595841*z^21)/224)*Cf[z]^11 + 
         ((-134134292305*z^8)/61917364224 + (2054828830627*z^9)/214990848 - 
           (2192115758503*z^10)/165888 + (1933210506215*z^11)/256 - 
           (12561188832183*z^12)/8)*Cf[z]^9*tS0[z] + 
         ((-50929475*z^2)/5184 + (403188805*z^3)/72)*Cf[z]^7*tS0[z]^2)*
        tS1[z] + (((-760130963629*z^10)/4458050224128 + (12175174670603*z^11)/
            15479341056 - (1323801389493107*z^12)/955514880 + 
           (98299061278511*z^13)/81920 - (1597932251363057*z^14)/3072 + 
           (5854608751962735*z^15)/64)*Cf[z]^10 + 
         ((-4163658715*z^4)/5971968 + (32781471715*z^5)/41472 - 
           (22372538629*z^6)/96)*Cf[z]^8*tS0[z])*tS1[z]^2 + 
       (((-35913525919*z^6)/644972544 + (2196205070383*z^7)/17915904 - 
           (5139784088489*z^8)/55296 + (9341035708619*z^9)/384)*Cf[z]^9 - 
         (1462105*Cf[z]^7*tS0[z])/1728)*tS1[z]^3 + 
       ((-289111525*z^2)/248832 + (2844092645*z^3)/3456)*Cf[z]^8*tS1[z]^4) + 
     S2[z]^8*(((46864591045675931*z^20)/1610179196827939551313920 - 
         (1055034953665334401*z^21)/5590899988985901219840 + 
         (6924925158527093141*z^22)/12941898122652549120 - 
         (20919296856967495745*z^23)/23966478004912128 + 
         (626448416292423125243*z^24)/693474479308800 - 
         (1972658928489991141373*z^25)/3210529996800 + 
         (203424534883994736671*z^26)/743178240 - (62670656819189567093*z^27)/
          819200 + (2163879658293117021477*z^28)/179200 - 
         (19161009527698716760863*z^29)/22400 + (7819730144801388884493*z^30)/
          350)*Cf[z]^12 + ((2843857553827*z^14)/8987429251842048 - 
         (73540653342509*z^15)/138694895861760 - (4750008159049861*z^16)/
          11557907988480 + (27095762502335845*z^17)/16052649984 - 
         (17549814871469021*z^18)/10321920 + (24928777621622767*z^19)/30720 - 
         (1653563033007396831*z^20)/8960 + (1185878666176893117*z^21)/80)*
        Cf[z]^10*tS0[z] + ((-198221405795*z^8)/30958682112 + 
         (144071516179*z^9)/11943936 - (1204774544443*z^10)/165888 + 
         (409427206003*z^11)/384 + (854283349485*z^12)/4)*Cf[z]^8*tS0[z]^2 + 
       ((10777675*z^2)/864 - (26875715*z^3)/3)*Cf[z]^6*tS0[z]^3 + 
       (((-2961169661640311*z^16)/155302777471830589440 + 
           (5285225575689817*z^17)/38517553936465920 - 
           (946484671432066261*z^18)/2496508125511680 + 
           (6410213709272115349*z^19)/11557907988480 - 
           (9142991045460410819*z^20)/19110297600 + 
           (4283320206126660271*z^21)/17203200 - (381740637338559363*z^22)/
            5120 + (69214085280806313771*z^23)/6400 - 
           (1048923432643027429521*z^24)/2800)*Cf[z]^11 + 
         ((-21930891077*z^10)/41278242816 + (1793544225919*z^11)/1719926784 - 
           (1603268691223*z^12)/2949120 - (10299665417479*z^13)/69120 + 
           (54396053445259*z^14)/256 - (252856300722381*z^15)/5)*Cf[z]^9*
          tS0[z] + ((4508724655*z^4)/1492992 - (4072424435*z^5)/1152 + 
           (8272389283*z^6)/8)*Cf[z]^7*tS0[z]^2)*tS1[z] + 
       (((-65672756620073*z^12)/7489524376535040 + (47359372263559*z^13)/
            4334215495680 + (539576579904811*z^14)/26754416640 - 
           (58852707571781323*z^15)/1114767360 + (29499195634633243*z^16)/
            645120 - (330332833011216831*z^17)/17920 + 
           (1661015122550372439*z^18)/560)*Cf[z]^10 + 
         ((746619253*z^6)/3981312 - (102019271903*z^7)/331776 + 
           (522785255945*z^8)/3072 - (2053451968425*z^9)/64)*Cf[z]^8*tS0[z] - 
         (13108715*Cf[z]^6*tS0[z]^2)/288)*tS1[z]^2 + 
       (((113760802835*z^8)/20639121408 - (1053767981557*z^9)/71663616 + 
           (10231352288315*z^10)/663552 - (7720225772349*z^11)/1024 + 
           (464776053796809*z^12)/320)*Cf[z]^9 + 
         ((-2904725*z^2)/1152 + (3846325*z^3)/4)*Cf[z]^7*tS0[z])*tS1[z]^3 + 
       ((796172525*z^4)/3981312 - (3956582705*z^5)/13824 + 
         (6643122301*z^6)/64)*Cf[z]^8*tS1[z]^4 - (336665*Cf[z]^7*tS1[z]^5)/
        384) + S2[z]^7*(((27955838586955049*z^22)/
          19322150361935274615767040 - (249334890239634841*z^23)/
          38337599924474751221760 + (902617026225749839*z^24)/
          79869999842655731712 - (39276347590687185637*z^25)/
          5392457551105228800 - (237192263644468186153*z^26)/
          49930162510233600 + (3081381053223567952021*z^27)/231158159769600 - 
         (3280225853320642843847*z^28)/267544166400 + 
         (1590716641385787267053*z^29)/247726080 - 
         (2936751711208811046359*z^30)/1433600 + 
         (68792587618447311642963*z^31)/179200 - 
         (209739395267652511043829*z^32)/5600 + 
         (1073139837388570896514713*z^33)/700)*Cf[z]^12 + 
       ((-22667444290106663*z^16)/232954166207745884160 + 
         (4337781136512007*z^17)/11234286564802560 - (67670739258850453*z^18)/
          104021171896320 + (513646412608889*z^19)/859963392 - 
         (1321157418808453007*z^20)/4180377600 + (3527454078963329981*z^21)/
          38707200 - (464272746834660257*z^22)/44800 - 
         (1046415923481836781*z^23)/1400 + (128286411632889215841*z^24)/700)*
        Cf[z]^10*tS0[z] + ((85116060383*z^10)/92876046336 - 
         (3252252949183*z^11)/1289945088 + (16195522510559*z^12)/5971968 - 
         (38580914973337*z^13)/27648 + (104624401598299*z^14)/320 - 
         (237527536404213*z^15)/10)*Cf[z]^8*tS0[z]^2 + 
       ((-94636615*z^4)/62208 + (2062767085*z^5)/864 - (3696742747*z^6)/4)*
        Cf[z]^6*tS0[z]^3 + 
       (((-6496323491884637*z^18)/1863633329661967073280 + 
           (362189899078826837*z^19)/25883796245305098240 - 
           (6092413937892139513*z^20)/269622877555261440 + 
           (106219552612195684147*z^21)/6241270313779200 - 
           (4577997464321189431*z^22)/1605264998400 - 
           (176242359087207050143*z^23)/33443020800 + 
           (178089150130886692151*z^24)/38707200 - 
           (12091482222941351793*z^25)/7168 + (3224489085707508880047*z^26)/
            11200 - (393672731630568179634*z^27)/25)*Cf[z]^11 + 
         ((617352108305341*z^12)/5617143282401280 - (40695363677489*z^13)/
            120394874880 + (25394056852765487*z^14)/60197437440 - 
           (9329021106973669*z^15)/34836480 + (7013671757948747*z^16)/80640 - 
           (6606744313703487*z^17)/560 + (2510157656430027*z^18)/28)*Cf[z]^9*
          tS0[z] + ((-2144154937*z^6)/4478976 + (26845994491*z^7)/31104 - 
           (149519978033*z^8)/288 + 104117759205*z^9)*Cf[z]^7*tS0[z]^2 + 
         (127360*Cf[z]^5*tS0[z]^3)/3)*tS1[z] + 
       (((6731740501487*z^14)/2567836929097728 - (1266010474121371*z^15)/
            138694895861760 + (16145815168266049*z^16)/1238347284480 - 
           (379869697026977299*z^17)/40131624960 + (72353227063782377*z^18)/
            22118400 - (90251974708128273*z^19)/716800 - 
           (5662023261911605053*z^20)/22400 + (157290220305020867571*z^21)/
            2800)*Cf[z]^10 + ((-344125575985*z^8)/10319560704 + 
           (72451748491*z^9)/995328 - (2480927120197*z^10)/41472 + 
           (1055494760069*z^11)/48 - (122627740464171*z^12)/40)*Cf[z]^8*
          tS0[z] + ((22268075*z^2)/864 - (181589695*z^3)/12)*Cf[z]^6*
          tS0[z]^2)*tS1[z]^2 + (((-153404886559*z^10)/247669456896 + 
           (6179897488631*z^11)/3439853568 - (155692487869457*z^12)/
            71663616 + (254847958977923*z^13)/184320 - (598132508965829*z^14)/
            1280 + (676285252921683*z^15)/10)*Cf[z]^9 + 
         ((2391051875*z^4)/1492992 - (454873915*z^5)/288 + 
           (6003679321*z^6)/16)*Cf[z]^7*tS0[z])*tS1[z]^3 + 
       (((-356266609*z^6)/47775744 + (17364660679*z^7)/663552 - 
           (81672944665*z^8)/3456 + (208905631579*z^9)/32)*Cf[z]^8 - 
         (1715125*Cf[z]^6*tS0[z])/576)*tS1[z]^4 + 
       ((1961485*z^2)/4608 - (16763253*z^3)/64)*Cf[z]^7*tS1[z]^5) + 
     S2[z]^6*(((-2891285055387188867*z^24)/12520753434534057951017041920 + 
         (20348671473625151137*z^25)/14491612771451455961825280 - 
         (7414389346977889831*z^26)/1916879996223737561088 + 
         (49387383143026629228527*z^27)/7765138873591529472000 - 
         (248730210872420052014651*z^28)/35949717007368192000 + 
         (1300434657282652865821343*z^29)/249650812551168000 - 
         (227388898693819269061403*z^30)/82556485632000 + 
         (45231494464154665019851*z^31)/44590694400 - 
         (389699706129014164591727*z^32)/1548288000 + 
         (281451903665732746156939*z^33)/7168000 - 
         (43078471522480540289601*z^34)/12800 + 
         (1649301383431830116756637*z^35)/14000 + 
         (1544474982247294601092383*z^36)/1750)*Cf[z]^12 + 
       ((11083689478445303*z^18)/1397724997246475304960 - 
         (73219254842560429*z^19)/1941284718397882368 + 
         (1019989324844872499*z^20)/12839184645488640 - 
         (25190035046392330553*z^21)/260052929740800 + 
         (60145903304042381333*z^22)/802632499200 - 
         (3767458649952949073*z^23)/99532800 + (79627976892412023247*z^24)/
          6451200 - (220658813525130558747*z^25)/89600 + 
         (744531373841401419633*z^26)/2800 - (4051308787006212938529*z^27)/
          350)*Cf[z]^10*tS0[z] + ((-4620453999497*z^12)/100306130042880 + 
         (158840203218151*z^13)/928760463360 - (1124754782494159*z^14)/
          4299816960 + (782344061770109*z^15)/3732480 - 
         (352838840417861*z^16)/3840 + (102470175829048*z^17)/5 - 
         1734067124576442*z^18)*Cf[z]^8*tS0[z]^2 + 
       ((-29955623*z^6)/373248 + (233934287*z^7)/20736 + 
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       ((20190869*z^4)/497664 - (6039085*z^5)/3456 - (160079853*z^6)/16)*
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           (5480111563153*z^14)/16 + (472603336796142*z^15)/5)*Cf[z]^7*
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           (31184162745025002525027*z^27)/700)*Cf[z]^10 + 
         ((-34169997224317*z^12)/234047636766720 + (12143983453969*z^13)/
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           (23106696472433443*z^15)/34836480 - (193092099452562361*z^16)/
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       (((-1166384226589*z^14)/200612260085760 + (302272907212747*z^15)/
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           (316540731373737331*z^17)/10032906240 - (8036505430405776221*z^18)/
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           (6224516330007530061*z^20)/5600 + (33468277809038429403*z^21)/350)*
          Cf[z]^9 + ((21642688327*z^8)/644972544 - (294487379053*z^9)/
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       (((-15347219*z^6)/311040 + (5948053*z^7)/90 - (6790685329*z^8)/240 + 
           (75785178717*z^9)/20)*Cf[z]^7 + (236897*Cf[z]^5*tS0[z])/12)*
        tS1[z]^5 + ((-13505*z^2)/72 + (759259*z^3)/4)*Cf[z]^6*tS1[z]^6) + 
     S2[z]^4*(((-12726411789260251721*z^28)/
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         (90808453406169*z^14)/40 + (1082270445661458*z^15)/5)*Cf[z]^6*
        tS0[z]^3 + ((2409995*z^4)/192 - 15563145*z^5 + 4918206924*z^6)*
        Cf[z]^4*tS0[z]^4 + 
       (((3376445899552288807*z^24)/14346696643736941402207027200 - 
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           (21841951707864705887794463*z^31)/7357464576000 + 
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           (540055423848045326218639*z^33)/1971200 + 
           (10126915915345751594206539*z^34)/224000 - 
           (666808818057316034478618309*z^35)/154000 + 
           (1763050673667968654750885772*z^36)/9625)*Cf[z]^11 + 
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           (6356567987463439*z^19)/40443431633289216 + 
           (8628231092782858913*z^20)/28085716412006400 - 
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           (142012765239361124273*z^23)/1393459200 + 
           (59403356034983779181*z^24)/2150400 - (47967989954147204397*z^25)/
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         ((-2828435254301*z^12)/3250661621760 + (116537878487803*z^13)/
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           (17489418209488801*z^15)/8709120 - (113260813962089551*z^16)/
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           (2669443957*z^7)/432 + (37484968405*z^8)/12 - 516743300772*z^9)*
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       (((-90086841355751*z^20)/327591796229642649600 + 
           (80111675180870161*z^21)/53924575511052288000 - 
           (39663630067504673*z^22)/10532143654502400 + 
           (60599781827350054739*z^23)/10402117189632000 - 
           (417088428175510558373*z^24)/69347447930880 + 
           (1432915029313728021763*z^25)/334430208000 - 
           (19650291928252948467287*z^26)/9289728000 + 
           (5085305798198386624567*z^27)/7168000 - 
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           (533689296979413599388639*z^29)/28000 - 
           (1748680365308280466398939*z^30)/1750)*Cf[z]^10 + 
         ((-3446150272147*z^14)/200612260085760 + (1086741753443459*z^15)/
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           (47733414095240669*z^17)/928972800 - (70561570464587513*z^18)/
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           (201945122112398229*z^20)/2800 - (12641235334345611387*z^21)/350)*
          Cf[z]^8*tS0[z] + ((64530701*z^8)/248832 - (303444312947*z^9)/
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           (106051613799627*z^12)/10)*Cf[z]^6*tS0[z]^2 + 
         ((-2128975*z^2)/6 + 166952760*z^3)*Cf[z]^4*tS0[z]^3)*tS1[z]^2 + 
       (((1053615054420419*z^16)/6066514744993382400 - (900762314939539*z^17)/
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           (3124008300756825043*z^19)/1805923123200 + 
           (31157054659654794487*z^20)/25082265600 - 
           (33376157275577252257*z^21)/58060800 + (4292808812238119607*z^22)/
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           (752589561826506972249*z^24)/350)*Cf[z]^9 + 
         ((42767161991*z^10)/19349176320 - (1047568371781*z^11)/268738560 + 
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           (8283793782457*z^14)/32 + (541473113388969*z^15)/10)*Cf[z]^7*
          tS0[z] + ((-3127295*z^4)/216 + (402222275*z^5)/36 - 1885549530*z^6)*
          Cf[z]^5*tS0[z]^2)*tS1[z]^3 + 
       (((-70512220085291*z^12)/1170238183833600 + (57596959791893*z^13)/
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           (7611018000136511*z^15)/43545600 - (52117292578473967*z^16)/
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           (3066471660885818553*z^18)/2800)*Cf[z]^8 + 
         ((949729751*z^6)/3732480 - (3197356007*z^7)/6480 + 
           (107503896287*z^8)/360 - (286451056416*z^9)/5)*Cf[z]^6*tS0[z] - 
         202755*Cf[z]^4*tS0[z]^2)*tS1[z]^4 + 
       (((2092340381*z^8)/214990848 - (44483329*z^9)/2304 + 
           (979660105379*z^10)/69120 - (145598439763*z^11)/32 + 
           (21473937612441*z^12)/40)*Cf[z]^7 + 
         ((-1665175*z^2)/72 + 10842500*z^3)*Cf[z]^5*tS0[z])*tS1[z]^5 + 
       ((-10191035*z^4)/31104 + (12848345*z^5)/48 - 51158058*z^6)*Cf[z]^6*
        tS1[z]^6 - (6110*Cf[z]^5*tS1[z]^7)/3) + 
     S2[z]^3*(((-183872371659738252097*z^30)/
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         (63568263309460138300040227*z^32)/96409801445912246222831222784000 + 
         (342832605350295382637148959*z^33)/223170836680352421812109312000 - 
         (2523695838150929004219713789*z^34)/1033198317964594545426432000 + 
         (5765207059494757439548489657*z^35)/2049996662628163780608000 - 
         (30207220858198522407101304707*z^36)/12456576943053078528000 + 
         (122725397008064260613345943541*z^37)/76892450265759744000 - 
         (71993024581207341662372465833*z^38)/88995891511296000 + 
         (2324253112870969168598608351*z^39)/7357464576000 - 
         (44981437000064974737997613521*z^40)/476872704000 + 
         (5840248251619817273954867861*z^41)/275968000 - 
         (2384868114849800035982406339*z^42)/689920 + 
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       (((15303449825999*z^16)/26962287755526144 - (429610889184947*z^17)/
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           (588269516694783*z^14)/160 + (670673256105483*z^15)/2)*Cf[z]^6*
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       (((-40024884787*z^12)/812665405440 + (983284432279*z^13)/7524679680 - 
           (38813888689609*z^14)/278691840 + (877722854247763*z^15)/
            11612160 - (1550403475848663*z^16)/71680 + 
           (1333023824239335*z^17)/448 - (38693212463121147*z^18)/280)*
          Cf[z]^7 + ((245272*z^6)/405 - (1976919359*z^7)/2880 + 
           (57432223181*z^8)/240 - (120335524497*z^9)/5)*Cf[z]^5*tS0[z] + 
         310560*Cf[z]^3*tS0[z]^2)*tS1[z]^5 + 
       (((-53270347*z^8)/8957952 + (16137071599*z^9)/1244160 - 
           (119049014881*z^10)/11520 + (71546553073*z^11)/20 - 
           (4548326441949*z^12)/10)*Cf[z]^6 + ((219625*z^2)/6 - 17169720*z^3)*
          Cf[z]^4*tS0[z])*tS1[z]^6 + ((538825*z^4)/864 - (3298375*z^5)/6 + 
         118977840*z^6)*Cf[z]^5*tS1[z]^7 + (4575*Cf[z]^4*tS1[z]^8)/2) + 
     S2[z]*(-32884317613896893608533053/728709751168605093888000 + 
       (8194901429272528603391107*z)/37485069504557875200 - 
       (2671582984502023926765785*z^2)/10412519306821632 + 
       (5576760379692171681000049*z^3)/51649401323520 + 
       ((-16324721891946638029*z^34)/1336577006888828865760945734691061760 + 
         (171764863591940360776883*z^35)/
          2165749779680972699149680588619776000 - 
         (1170279783645210475084094263*z^36)/
          6497249339042918097449041765859328000 - 
         (7899803929147552211031607*z^37)/
          5013309675187436803587223584768000 + (59992905706636864466935601*
           z^38)/60285109129238056801193164800 - 
         (918773836457042222581186228567*z^39)/
          322357875204953498173046784000 + (142516780997719269046621907921*
           z^40)/30526313939863020660326400 - 
         (8228887292069578055328355706713*z^41)/1554580802493024200294400 + 
         (72579015463534773123511407497*z^42)/16357121238352527360 - 
         (78669757759051866168586834503833*z^43)/27766718151524352000 + 
         (2039564304730160094373378667669*z^44)/1460791148544000 - 
         (9898241623385243291204362045741*z^45)/18598035456000 + 
         (5366876837585650929639781308353*z^46)/34440806400 - 
         (25671715474773878665224879807*z^47)/745472 + 
         (623596098136568040082093039837263*z^48)/112112000 - 
         (8689437300837790537081496374222791*z^49)/14014000 + 
         (37367536997481862609571642198794386*z^50)/875875 - 
         (6836896962009548634917698655194152*z^51)/5005)*Cf[z]^12 + 
       (48470419132965226883/2002407559004160 - (47886588621746138251*z)/
          927040536576 + (16927107818235832531*z^2)/536481792 + 
         ((-46876394922036787*z^28)/62766797816349118634655744000 + 
           (4998493358295625180063*z^29)/502134382530792949077245952000 - 
           (233018293239671985987463*z^30)/4649392430840675454418944000 + 
           (18082474477038187932943063*z^31)/129149789745574318178304000 - 
           (258395433448576990250306827*z^32)/1024998331314081890304000 + 
           (2619631845435963795872279629*z^33)/8304384628702052352000 - 
           (10996742809976483102531148191*z^34)/38446225132879872000 + 
           (261877127585494625570137403*z^35)/1362182012928000 - 
           (29885193620486428444448069713*z^36)/309013512192000 + 
           (20642957581632692961266053*z^37)/567705600 - 
           (477110410765693037540358001*z^38)/47308800 + 
           (3143739213864074803393433781*z^39)/1568000 - 
           (233310423180625662762440430417*z^40)/862400 + 
           (2992668391342564421268363424749*z^41)/134750 - 
           (11289802601331037025755701948684*z^42)/13475)*Cf[z]^10)*tS0[z] + 
       (-508740385480591/62705664 + (845757744648091*z)/103680 + 
         ((3616915377895469*z^22)/26207343698371411968000 - 
           (707408222423191379*z^23)/727981769399205888000 + 
           (20179269340551814889*z^24)/6740571938881536000 - 
           (752799169742612704921*z^25)/140428582060032000 + 
           (32138014495808790331*z^26)/5159780352000 - 
           (17874341156450293310143*z^27)/3611846246400 + 
           (138053273555264640557609*z^28)/50164531200 - 
           (623457678709806802715099*z^29)/580608000 + 
           (27716137051242253752161*z^30)/96000 - (357227928431912857700511*
             z^31)/7000 + (1870934682028873430799027*z^32)/350 - 
           (220243785234425895919518648*z^33)/875)*Cf[z]^8)*tS0[z]^2 + 
       (40631109271/72 + ((-105333344679893*z^16)/21064287309004800 + 
           (10523136639787*z^17)/451480780800 - (2607486604311041*z^18)/
            56435097600 + (17771562388587149*z^19)/348364800 - 
           (1199326618245768947*z^20)/34836480 + (1411420872699680215*z^21)/
            96768 - (1701588260042576585*z^22)/448 + 
           (97477924034701974222*z^23)/175 - (6175015247969379318564*z^24)/
            175)*Cf[z]^6)*tS0[z]^3 + ((28283257*z^10)/414720 - 
         (8495680291*z^11)/46080 + (738378955907*z^12)/3840 - 
         (1564211787351*z^13)/16 + 24385505980995*z^14 - 
         (11980611451041552*z^15)/5)*Cf[z]^4*tS0[z]^4 + 
       (-315399*z^4 + 282624930*z^5 - 63926056656*z^6)*Cf[z]^2*tS0[z]^5 + 
       (19431243146808080609/4256818790400 - (4539527046058586299*z)/
          689762304 + ((109959084008445416341*z^30)/
            2255989353834346561614250613145600 - (503535433058580617159*z^31)/
            1566659273496074001121007370240 + (23980243213133507254616917*
             z^32)/26110987891601233352016789504000 - 
           (15922373983716710271281977*z^33)/10989473018350687437717504000 + 
           (937410606954539797306251721*z^34)/746198785196651616141312000 - 
           (369221551578688655094326971*z^35)/1243664641994419360235520 - 
           (15920115294039727918268245321*z^36)/23133642894241431552000 + 
           (174145350860388409036198262509*z^37)/166600308909146112000 - 
           (157479568201040288766235042963*z^38)/192824431607808000 + 
           (20396466140476056085161845669*z^39)/47823519744000 - 
           (163633947355358803586865328789*z^40)/1033224192000 + 
           (15175445428474488149957459337*z^41)/358758400 - 
           (255907609779164274714909531123*z^42)/32032000 + 
           (5180768742336057001725614418771*z^43)/5096000 - 
           (137346205955506722318738068619273*z^44)/1751750 + 
           (69416478399091321863099582339852*z^45)/25025)*Cf[z]^11 + 
         (-24429280930861/20736 + ((671923552084310717*z^24)/
              1162348107710168863604736000 - (87940825358675139761*z^25)/
              8071861859098394886144000 + (11576937243105068260291*z^26)/
              224218384974955413504000 - (15291799894861763462713*z^27)/
              124565769430530785280 + (30903044277132119713954283*z^28)/
              173008013097959424000 - (17394785064147415155620479*z^29)/
              100120377950208000 + (43750887866492819123359103*z^30)/
              370816214630400 - (366806351005753748644488797*z^31)/
              6437781504000 + (582835864812724534296801983*z^32)/
              29804544000 - (16124928672192867286512653*z^33)/3449600 + 
             (58119608318511625260993099*z^34)/78400 - 
             (9463002552868924073165871501*z^35)/134750 + 
             (202917265758288288960800435028*z^36)/67375)*Cf[z]^9)*tS0[z] + 
         ((-540849497223407*z^18)/2527714477080576000 + 
           (5959484246281843*z^19)/5015306502144000 - 
           (90647568479662561*z^20)/32506616217600 + 
           (4147279884989431457*z^21)/1128701952000 - 
           (31565929960009936991*z^22)/10450944000 + 
           (1406925806621321714461*z^23)/870912000 - 
           (13656941659879969691939*z^24)/24192000 + 
           (997377764428351915089*z^25)/8000 - (55396722144551916399111*z^26)/
            3500 + (110231283675115324630764*z^27)/125)*Cf[z]^7*tS0[z]^2 + 
         ((2946077074201*z^12)/507915878400 - (2474313293903*z^13)/
            130636800 + (270755664428671*z^14)/10886400 - 
           (641505451030937*z^15)/37800 + (2144813745564457*z^16)/336 - 
           (220402133808630174*z^17)/175 + (17864217962107957872*z^18)/175)*
          Cf[z]^5*tS0[z]^3 + ((-7135909*z^6)/160 + (2507483097*z^7)/40 - 
           (291708376569*z^8)/10 + (22427305342632*z^9)/5)*Cf[z]^3*tS0[z]^4 + 
         35544096*Cf[z]*tS0[z]^5)*tS1[z] + 
       (((-668630049541875437*z^26)/8368906375513215817954099200 + 
           (331280609562365701489*z^27)/664198918691525064916992000 - 
           (182077211857862870641549*z^28)/129149789745574318178304000 + 
           (286131988711927795535393*z^29)/119583138653309553868800 - 
           (3770207269270458480866309*z^30)/1384064104783675392000 + 
           (16908559123128158963750549*z^31)/7689245026575974400 - 
           (259533513371660170667664439*z^32)/200240755900416000 + 
           (523877188347267409296353939*z^33)/927040536576000 - 
           (260829590513112418428455189*z^34)/1430618112000 + 
           (61001462525380569121890113*z^35)/1419264000 - 
           (49598031501652126290621963*z^36)/6899200 + 
           (868558560261414894533188287*z^37)/1078000 - 
           (14538458182759362747763811469*z^38)/269500 + 
           (9899239334128479489455136504*z^39)/6125)*Cf[z]^10 + 
         ((8906199425303*z^20)/6933159708563865600 - (60295012073826149*z^21)/
            20221715816644608000 - (328272332195367253*z^22)/
            561714328240128000 + (74210485940024664919*z^23)/
            7801587892224000 - (2150102750466028398253*z^24)/
            144473849856000 + (81255322062936059887*z^25)/6688604160 - 
           (786676033948895114039*z^26)/129024000 + 
           (15749464437540754544077*z^27)/8064000 - 
           (43799557222588297591809*z^28)/112000 + 
           (39182279263036866747018*z^29)/875 - (11231196572176418873628*
             z^30)/5)*Cf[z]^8*tS0[z] + ((109819813891*z^14)/1218998108160 - 
           (8798689946267*z^15)/24186470400 + (30912068335019*z^16)/
            52254720 - (5574495866073151*z^17)/10886400 + 
           (51912851607779257*z^18)/201600 - (508678461961174619*z^19)/6720 + 
           (8463527418732886359*z^20)/700 - (142038381973390761312*z^21)/175)*
          Cf[z]^6*tS0[z]^2 + ((-155581087*z^8)/93312 + (1118954359*z^9)/360 - 
           (25654587413*z^10)/12 + (3215189426982*z^11)/5 - 
           (356707605585744*z^12)/5)*Cf[z]^4*tS0[z]^3 + 
         (3150900*z^2 - 1244898720*z^3)*Cf[z]^2*tS0[z]^4)*tS1[z]^2 + 
       (((1438513007112761*z^22)/20965874958697129574400 - 
           (74111570128422821*z^23)/194128471839788236800 + 
           (233116053697789961071*z^24)/242660589799735296000 - 
           (101509495403953118351*z^25)/70214291030016000 + 
           (15055354105610833838347*z^26)/10402117189632000 - 
           (146313604279847273656159*z^27)/144473849856000 + 
           (38037858437809711599143*z^28)/75246796800 - 
           (1253962033364876536806547*z^29)/6967296000 + 
           (722125650126666399447899*z^30)/16128000 - 
           (12963951808395122784993*z^31)/1750 + (5130487722731886103694319*
             z^32)/7000 - (5740568634445820579971692*z^33)/175)*Cf[z]^9 + 
         ((-3643719763589*z^16)/1872381094133760 + (62957242690981*z^17)/
            8358844170240 - (23409950144766167*z^18)/1805923123200 + 
           (972313212942278749*z^19)/75246796800 - 
           (33995028067257424897*z^20)/4180377600 + (569723655656372023*z^21)/
            172800 - (37550044302359638711*z^22)/44800 + 
           (34101989284325096493*z^23)/280 - (1351836010123307566533*z^24)/
            175)*Cf[z]^7*tS0[z] + ((71370241*z^10)/16796160 - 
           (1897712653*z^11)/116640 + (23811392009*z^12)/1080 - 
           (249167116903*z^13)/18 + (20596148919459*z^14)/5 - 
           (2353479950395008*z^15)/5)*Cf[z]^5*tS0[z]^2 + 
         ((-389600*z^4)/27 + 30792240*z^5 - 10961707968*z^6)*Cf[z]^3*
          tS0[z]^3)*tS1[z]^3 + (((-65098594953977*z^18)/2022171581664460800 + 
           (2398972356384857*z^19)/16048980806860800 - 
           (2868958586512900361*z^20)/9361905470668800 + 
           (450834034662590861*z^21)/1238347284480 - 
           (36947351017737442243*z^22)/133772083200 + 
           (773482455263078430533*z^23)/5573836800 - 
           (335133267652108655533*z^24)/7257600 + (62806682688416810081*z^25)/
            6400 - (3384446341839322591557*z^26)/2800 + 
           (23012726569117521478227*z^27)/350)*Cf[z]^8 + 
         ((18053979113*z^12)/19349176320 - (3072991015583*z^13)/1074954240 + 
           (43116744091069*z^14)/11943936 - (399292859603701*z^15)/165888 + 
           (41209591017427321*z^16)/46080 - (28098602529775167*z^17)/160 + 
           (284859150252499953*z^18)/20)*Cf[z]^6*tS0[z] + 
         ((-91133171*z^6)/12960 + (3679410977*z^7)/360 - (49011540531*z^8)/
            10 + (3874280479848*z^9)/5)*Cf[z]^4*tS0[z]^2 + 
         4480800*Cf[z]^2*tS0[z]^3)*tS1[z]^4 + 
       (((292676550499*z^14)/39007939461120 - (10244496572911*z^15)/
            386983526400 + (5934067096981489*z^16)/150493593600 - 
           (4486709076074441*z^17)/139345920 + (28730030948360191*z^18)/
            1843200 - (160460675339191429*z^19)/35840 + 
           (282775592400871401*z^20)/400 - (6630086414598389469*z^21)/140)*
          Cf[z]^7 + ((-76572053*z^8)/497664 + (14759083997*z^9)/51840 - 
           (70400433791*z^10)/360 + (590693029603*z^11)/10 - 
           (33088026858804*z^12)/5)*Cf[z]^5*tS0[z] + 
         (229300*z^2 - 88302240*z^3)*Cf[z]^3*tS0[z]^2)*tS1[z]^5 + 
       (((-26513863*z^10)/53747712 + (680817391*z^11)/663552 - 
           (409891585051*z^12)/497664 + (725746832783*z^13)/2304 - 
           (1793899090401*z^14)/32 + (7049657060577*z^15)/2)*Cf[z]^6 + 
         ((425*z^4)/8 + (4136725*z^5)/6 - 316179540*z^6)*Cf[z]^4*tS0[z])*
        tS1[z]^6 + (((-675931*z^6)/10368 + (27687047*z^7)/288 - 
           (1117822673*z^8)/24 + 7417784502*z^9)*Cf[z]^5 + 
         73800*Cf[z]^3*tS0[z])*tS1[z]^7 + ((2375*z^2)/2 - 441000*z^3)*Cf[z]^4*
        tS1[z]^8)
 
Ff[8] = 828228492315432477106919540441/
      8068824260337390169721618426757120000 + 
     (1927159579641704594261373347425477*z)/
      958795475379597288686056510586880000 - 
     (148799962583456458989827015759543*z^2)/
      16813893718076551779707781120000 + (40391601904584590748703314921800951*
       z^3)/2201819415462405590199828480000 - 
     (41548459829451409053138625964431561*z^4)/1982090523178605855375360000 + 
     (373182976823636965801924482625876717*z^5)/27529035044147303546880000 - 
     (188777402547082050815495478769669*z^6)/40460075020792627200 + 
     (42077490541299029986568766743221*z^7)/63218867219988480 + 
     ((-145606083300594019806747326566213*z^42)/
        797697859038619405582369573626644197848842093199360000 + 
       (820616795513725063256943985177049*z^43)/
        738609128739462412576268123728374257267446382592000 - 
       (303803637476847647029645430609567*z^44)/
        97144508725202863606937621492052590654914560000 + 
       (17771579166257293670058846778232471*z^45)/
        3298116036966763887889857519791908941987840000 - 
       (2304061650840722485844029833488251*z^46)/
        363548945873761451486977239835968798720000 + 
       (189805261452271133666849134101996689*z^47)/
        35345036404393474450122787206274744320000 - 
       (1583714712353467597444209077053*z^48)/
        469997782048822200336302211072000 + 
       (74986457952761704640038653830776801*z^49)/
        47347924710103569811657111633920000 - 
       (122073737597154644638614110960935429*z^50)/
        219203355139368378757671813120000 + 
       (88019736043039956147446326499026903*z^51)/
        608898208720467718771310592000 - (23721983209789907246058486339019043*
         z^52)/880929121412713713500160000 + 
       (5585257896759233810923463226784001*z^53)/1631350224838358728704000 - 
       (1703566200905656606179540600625453*z^54)/6293789447678853120000 + 
       (43836197337623785561655223031049*z^55)/4162559158517760000)*
      Cf[z]^14 + ((-98375*z^2)/128 + (6475304175*z^3)/8192)*Cf[z]^14*
      S2[z]^20 + (1282031525*Cf[z]^14*S2[z]^21)/688128 + 
     (186723497441218813947436810079/587497227561027750420377763840000 - 
       (264659644049308727003484669701*z)/113328940501741464201461760000 + 
       (531249055359227429742189953471*z^2)/80718618590983948861440000 - 
       (6876194404195882728844605492169*z^3)/728709751168605093888000 + 
       (4929733568744026416103936867957*z^4)/674731251082041753600 - 
       (94882742659778836032254063713*z^5)/32539122833817600 + 
       (81150289998362434417878743051*z^6)/172164671078400 + 
       ((123342237693369200017679354017*z^36)/
          5238184294006036763119185472610678907863040000 - 
         (11144806745038853004311940449*z^37)/
          36087579185998379375545534836658667520000 + 
         (16926424440972591844183948439603*z^38)/
          9356039048221802060326620142837432320000 - 
         (13803967158448994026210750494881*z^39)/
          2165749779680972699149680588619776000 + 
         (2007738735461250061179055212653*z^40)/
          131467911062607608485678940160000 - 
         (77155533974097142046890126038461*z^41)/
          2901220876844581483557421056000 + 
         (7059454508814882315734525879802851*z^42)/
          201473672003095936358154240000 - 
         (2785222131730306206658370308715383*z^43)/
          77729040124651210014720000 + (561682955742069810448389837048740567*
           z^44)/19432260031162802503680000 - 
         (835108994150899268955417926511052319*z^45)/
          44982083405469450240000 + (36760147115813101163581935298212233*
           z^46)/3856488632156160000 - (313965614875861028111192469664322381*
           z^47)/80343513169920000 + (59097851967785225352807545876053901*
           z^48)/46495088640000 - (4647381377587326357160849476088597*z^49)/
          14350336000 + (56741066235489134141693906666964057*z^50)/
          896896000 - (73266113673423735147945059147816301*z^51)/8008000 + 
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         (2031655305852908135602799758503914718*z^53)/35035 + 
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         (428004909181894484877189494263*z^32)/32038520944066560000 - 
         (1291478888622988104088033149589*z^33)/222489728778240000 + 
         (971954225660546213798526997691*z^34)/515022520320000 - 
         (45299367248855533164327298109*z^35)/99348480000 + 
         (221042795262594866871499177479*z^36)/2759680000 - 
         (1682465549631549691827003441507*z^37)/172480000 + 
         (8005006305528022874493275186889*z^38)/10780000 - 
         (819688165184485882748461307877*z^39)/30625)*Cf[z]^10 + 
       ((-93307102924043*z^20)/6066514744993382400 + (3850172698553821*z^21)/
          93619054706688000 - (9762152837374979*z^22)/438839318937600 - 
         (11332645439936998241*z^23)/243799621632000 + 
         (36315109970866956667*z^24)/401316249600 - 
         (82981104786416327941*z^25)/1119744000 + 
         (20429581235078318183563*z^26)/580608000 - 
         (165708864965533912542683*z^27)/16128000 + 
         (404519110865480810923461*z^28)/224000 - 
         (86268591053074696052961*z^29)/500 + (831512624706288113849559*z^30)/
          125)*Cf[z]^8*tS0[z] + ((-3692470097*z^14)/5441955840 + 
         (122176922718277*z^15)/48372940800 - (1094885040154261*z^16)/
          298598400 + (3421351407948941*z^17)/1244160 - 
         (797805869675848961*z^18)/691200 + (64266223200708541*z^19)/240 - 
         (1527703374519759537*z^20)/50 + 1164025499139594252*z^21)*Cf[z]^6*
        tS0[z]^2 + ((159143623*z^8)/23328 - (18608930111*z^9)/3240 - 
         (13138422151*z^10)/30 + (6976438958088*z^11)/5 - 
         (1476697385919168*z^12)/5)*Cf[z]^4*tS0[z]^3 + 
       (74839800*z^2 - 33204003840*z^3)*Cf[z]^2*tS0[z]^4)*tS1[z]^4 + 
     (((-626271408202607*z^22)/1091972654098808832000 + 
         (806122800677880241*z^23)/242660589799735296000 - 
         (3912035864008948783*z^24)/449371462592102400 + 
         (7657176864245861228827*z^25)/561714328240128000 - 
         (36400862300104725211*z^26)/2568423997440 + 
         (494592118723875822735031*z^27)/48157949952000 - 
         (21237479004652480139869171*z^28)/4013162496000 + 
         (5402228653604684871837689*z^29)/2786918400 - 
         (31905131159377977111695689*z^30)/64512000 + 
         (7498935178788191880656907*z^31)/89600 - 
         (23673134380562942152533381*z^32)/2800 + 
         (676016211164658278083524819*z^33)/1750)*Cf[z]^9 + 
       ((3667775510339*z^16)/146279772979200 - (123973414328321*z^17)/
          1160950579200 + (1659814866366479*z^18)/8360755200 - 
         (164207017873723201*z^19)/783820800 + (11927424145157887237*z^20)/
          87091200 - (6864038233842737399*z^21)/120960 + 
         (162981223113538251087*z^22)/11200 - (73923056320835327166*z^23)/
          35 + (23257378397723453558532*z^24)/175)*Cf[z]^7*tS0[z] + 
       ((-1893857731*z^10)/4478976 + (147833230525*z^11)/124416 - 
         (7328366070581*z^12)/5760 + (158174228918723*z^13)/240 - 
         (1666400316802911*z^14)/10 + (82720666056271608*z^15)/5)*Cf[z]^5*
        tS0[z]^2 + ((35637100*z^4)/9 - 3505894400*z^5 + 773041155840*z^6)*
        Cf[z]^3*tS0[z]^3)*tS1[z]^5 + 
     (((239850962822467*z^18)/1263857238540288000 - (128744589337354573*z^19)/
          140428582060032000 + (1513652174030027897*z^20)/780158789222400 - 
         (255925845657513573869*z^21)/108355387392000 + 
         (1830436396181237280337*z^22)/1003290624000 - 
         (25870292218325776004879*z^23)/27869184000 + 
         (723256355751159060780443*z^24)/2322432000 - 
         (119149181051783922600587*z^25)/1792000 + 
         (918895966319059281536589*z^26)/112000 - 
         (3122762465000744579211273*z^27)/7000)*Cf[z]^8 + 
       ((-13675758029*z^12)/1763596800 + (37897476421397*z^13)/1567641600 - 
         (3992353633027019*z^14)/130636800 + (36621582300859807*z^15)/
          1814400 - (74356106253633007*z^16)/10080 + 
         (248255786707961973*z^17)/175 - (19667715297168423384*z^18)/175)*
        Cf[z]^6*tS0[z] + ((55732897*z^6)/648 - (2017700389*z^7)/18 + 
         48465865884*z^8 - 6950961039744*z^9)*Cf[z]^4*tS0[z]^2 + 
       28358400*Cf[z]^2*tS0[z]^3)*tS1[z]^6 + 
     (((-3946386841*z^14)/152374763520 + (31055333256587*z^15)/338610585600 - 
         (423390081590401*z^16)/3135283200 + (14092176290678791*z^17)/
          130636800 - (61322539635562987*z^18)/1209600 + 
         (47221733363976791*z^19)/3360 - (373023682496185977*z^20)/175 + 
         (23903305809805234296*z^21)/175)*Cf[z]^7 + 
       ((4479935*z^8)/7776 - (130589609*z^9)/144 + (18838762637*z^10)/36 - 
         130191618956*z^11 + 11636095438656*z^12)*Cf[z]^5*tS0[z] + 
       (2485000*z^2 - 1095091200*z^3)*Cf[z]^3*tS0[z]^2)*tS1[z]^7 + 
     (((-5533235*z^10)/4478976 + (128630435*z^11)/31104 - 
         (705583975*z^12)/144 + (390792805045*z^13)/144 - 
         (1439607359385*z^14)/2 + 74080120729320*z^15)*Cf[z]^6 + 
       ((393875*z^4)/6 - 57696000*z^5 + 12630729600*z^6)*Cf[z]^4*tS0[z])*
      tS1[z]^8 + (((1911305*z^6)/3888 - (34536955*z^7)/54 + 
         (828323480*z^8)/3 - 39551477760*z^9)*Cf[z]^5 + 
       288000*Cf[z]^3*tS0[z])*tS1[z]^9 + ((25000*z^2)/3 - 3648000*z^3)*
      Cf[z]^4*tS1[z]^10 + S2[z]^19*(((28038471875*z^4)/254803968 - 
         (161287703725*z^5)/589824 + (39243955155*z^6)/256)*Cf[z]^14 + 
       (586953125*Cf[z]^13*tS1[z])/24576) + 
     S2[z]^18*(((-1102052375*z^6)/764411904 + (551980389325*z^7)/21233664 - 
         (515687814685*z^8)/12288 + (18279188802405*z^9)/1024)*Cf[z]^14 - 
       (77904475*Cf[z]^12*tS0[z])/36864 + ((-739201625*z^2)/73728 + 
         (19726848225*z^3)/2048)*Cf[z]^13*tS1[z]) + 
     S2[z]^17*(((-1332525131675*z^8)/880602513408 + (6929497804675*z^9)/
          3057647616 + (18783252493885*z^10)/14155776 - (28174839511655*z^11)/
          8192 + (702585909320157*z^12)/512)*Cf[z]^14 + 
       ((6515875*z^2)/9216 - (384881725*z^3)/512)*Cf[z]^12*tS0[z] + 
       ((68543675275*z^4)/42467328 - (1024291782275*z^5)/294912 + 
         (1821354789795*z^6)/1024)*Cf[z]^13*tS1[z] + 
       (975645925*Cf[z]^12*tS1[z]^2)/8192) + 
     S2[z]^16*(((4629015868175*z^10)/23776267862016 - (461403240092905*z^11)/
          660451885056 + (154319700158897*z^12)/191102976 - 
         (12012942529439*z^13)/49152 - (135384591459871*z^14)/1024 + 
         (36554252893871985*z^15)/512)*Cf[z]^14 + 
       ((-1349762975*z^4)/47775744 + (18288089125*z^5)/110592 - 
         (7207006235*z^6)/64)*Cf[z]^12*tS0[z] + 
       (((-99649371475*z^6)/1146617856 + (13521341474255*z^7)/31850496 - 
           (77994918544595*z^8)/147456 + (202613097727335*z^9)/1024)*
          Cf[z]^13 - (113821325*Cf[z]^11*tS0[z])/4608)*tS1[z] + 
       ((-11074357225*z^2)/221184 + (277736370335*z^3)/6144)*Cf[z]^12*
        tS1[z]^2) + S2[z]^15*(((-1188134007904355*z^12)/184884258895036416 + 
         (7142162730076333*z^13)/142657607172096 - (9511096763070409*z^14)/
          82556485632 + (130503344794409291*z^15)/1146617856 - 
         (82617489624641515*z^16)/1769472 + (8592954156165169*z^17)/4096 + 
         (1541942464521315141*z^18)/640)*Cf[z]^14 + 
       ((-7247627275*z^6)/286654464 + (27207261985*z^7)/995328 + 
         (156783251225*z^8)/36864 - (2067310540815*z^9)/256)*Cf[z]^12*
        tS0[z] + (347066575*Cf[z]^10*tS0[z]^2)/13824 + 
       (((-54576136159565*z^8)/5944066965504 + (660277969363*z^9)/
            6879707136 + (208954279413583*z^10)/5308416 - 
           (207477289831555*z^11)/4608 + (7485741288867405*z^12)/512)*
          Cf[z]^13 + ((316206275*z^2)/27648 - (3655137595*z^3)/384)*Cf[z]^11*
          tS0[z])*tS1[z] + ((4986229756765*z^4)/573308928 - 
         (22118651965475*z^5)/1327104 + (12083842524845*z^6)/1536)*Cf[z]^12*
        tS1[z]^2 + (48755595955*Cf[z]^11*tS1[z]^3)/165888) + 
     S2[z]^14*(((-282961284915541*z^14)/323547453066313728 + 
         (29546574242631113*z^15)/17974858503684096 + 
         (214163505114525521*z^16)/110955916689408 - 
         (3329055902351459029*z^17)/428070666240 + (3643023697307412895*z^18)/
          445906944 - (1266226007365587911*z^19)/344064 + 
         (78256556642307081447*z^20)/143360 + (371846669516736993513*z^21)/
          8960)*Cf[z]^14 + ((9103239462995*z^8)/1486016741376 - 
         (25546168167481*z^9)/1719926784 + (31602020248207*z^10)/2654208 - 
         (28383142615513*z^11)/9216 - (8684541931197*z^12)/128)*Cf[z]^12*
        tS0[z] + ((-63428525*z^2)/6912 + (3206874655*z^3)/384)*Cf[z]^10*
        tS0[z]^2 + (((5892886364377*z^10)/2972033482752 - 
           (949341127885183*z^11)/165112971264 + (414516094730855*z^12)/
            84934656 + (122330965692973*z^13)/442368 - 
           (1093162964298405*z^14)/512 + (189353922369094773*z^15)/256)*
          Cf[z]^13 + ((-147978165835*z^4)/71663616 + (619795792025*z^5)/
            165888 - (39479585275*z^6)/24)*Cf[z]^11*tS0[z])*tS1[z] + 
       (((-51204794957*z^6)/71663616 + (117359996513*z^7)/49152 - 
           (365363343504965*z^8)/147456 + (847753130048535*z^9)/1024)*
          Cf[z]^12 - (1080251245*Cf[z]^10*tS0[z])/13824)*tS1[z]^2 + 
       ((-10036891625*z^2)/82944 + (476633865475*z^3)/4608)*Cf[z]^11*
        tS1[z]^3) + S2[z]^13*
      (((278014985582986073*z^16)/2236359995594360487936 - 
         (723254049405316295*z^17)/1294189812265254912 + 
         (4142982345562011983*z^18)/4279728215162880 - 
         (50900222706540554329*z^19)/69347447930880 + 
         (11020715465612051393*z^20)/128421199872 + 
         (87476193899449720853*z^21)/371589120 - (51908058171767824129*z^22)/
          344064 + (544237241933257782849*z^23)/17920 - 
         (10306581073027261389*z^24)/32)*Cf[z]^14 + 
       ((-2754766693909*z^10)/4458050224128 + (23446413896249*z^11)/
          10319560704 - (74677168427375*z^12)/23887872 + 
         (72965521201951*z^13)/36864 - (558063941093463*z^14)/1024 + 
         (2678963098757553*z^15)/64)*Cf[z]^12*tS0[z] + 
       ((11987979415*z^4)/11943936 - (64581278125*z^5)/27648 + 
         (76669352855*z^6)/64)*Cf[z]^10*tS0[z]^2 + 
       (((-7905619003581781*z^12)/53924575511052288 + 
           (28041220328730839*z^13)/41608468758528 - 
           (186396803022188593*z^14)/160526499840 + 
           (6101276194386369179*z^15)/6688604160 - (46790373962266801*z^16)/
            172032 - (1099591372674032097*z^17)/35840 + 
           (27858391467378462657*z^18)/1120)*Cf[z]^13 + 
         ((23835765851*z^6)/214990848 - (153310131119*z^7)/331776 + 
           (4602509979449*z^8)/9216 - (10444352484585*z^9)/64)*Cf[z]^11*
          tS0[z] + (189416005*Cf[z]^9*tS0[z]^2)/1152)*tS1[z] + 
       (((3466282109615*z^8)/495338913792 - (23314939807087*z^9)/191102976 + 
           (237829317832663*z^10)/884736 - (655016308677319*z^11)/3072 + 
           (14932765258118433*z^12)/256)*Cf[z]^12 + 
         ((1713103775*z^2)/41472 - (2916293435*z^3)/96)*Cf[z]^10*tS0[z])*
        tS1[z]^2 + ((1551750072605*z^4)/71663616 - (6285787367915*z^5)/
          165888 + (3202094845447*z^6)/192)*Cf[z]^11*tS1[z]^3 + 
       (10389987935*Cf[z]^10*tS1[z]^4)/27648) + 
     S2[z]^12*(((-63531901812323027*z^18)/10063619980174622195712 + 
         (12664628667185856661*z^19)/310605554943661178880 - 
         (1395238393369791870209*z^20)/12941898122652549120 + 
         (4569530137046519858471*z^21)/29958097506140160 - 
         (5718415118344837901917*z^22)/46231631953920 + 
         (3520091230160344715965*z^23)/64210599936 - 
         (3464457733005688685701*z^24)/371589120 - 
         (495894237121014871669*z^25)/286720 + (27795887100298208172987*z^26)/
          35840 - (14694847129310506314561*z^27)/448)*Cf[z]^14 + 
       ((1253009872739257*z^12)/121330294899867648 - (10127481371485733*z^13)/
          93619054706688 + (118819579311464581*z^14)/433421549568 - 
         (2314495070950699051*z^15)/7524679680 + (1001741227079342641*z^16)/
          5806080 - (1234571802850342991*z^17)/26880 + 
         (475366117351937739*z^18)/112)*Cf[z]^12*tS0[z] + 
       ((2122887761*z^6)/23887872 + (3015668183*z^7)/110592 - 
         (5181532189231*z^8)/27648 + (5747409458299*z^9)/64)*Cf[z]^10*
        tS0[z]^2 - (756978455*Cf[z]^8*tS0[z]^3)/5184 + 
       (((69134683417139*z^14)/30332573724966912 - (1781685500802528413*z^15)/
            67405719388815360 + (3448167698058911*z^16)/42807066624 - 
           (7736719663180904983*z^17)/68797071360 + 
           (77488644417451873151*z^18)/955514880 - (6996345783884454169*z^19)/
            245760 + (52763523414785983917*z^20)/17920 + 
           (519481910083419275823*z^21)/1120)*Cf[z]^13 + 
         ((14106184643845*z^8)/557256278016 - (19340836081577*z^9)/
            644972544 - (26142112966181*z^10)/1990656 + 
           (396826106770567*z^11)/13824 - (151926331043039*z^12)/16)*Cf[z]^11*
          tS0[z] + ((-192844825*z^2)/2304 + (1454477005*z^3)/24)*Cf[z]^9*
          tS0[z]^2)*tS1[z] + (((10800470176183*z^10)/2229025112064 - 
           (293881225452137*z^11)/30958682112 - (3916023864150673*z^12)/
            5733089280 + (60911506614722251*z^13)/4423680 - 
           (692405410555841659*z^14)/61440 + (3661070321014890543*z^15)/1280)*
          Cf[z]^12 + ((-553625871785*z^4)/53747712 + (1852254241885*z^5)/
            124416 - (790595143183*z^6)/144)*Cf[z]^10*tS0[z])*tS1[z]^2 + 
       (((-21439014091*z^6)/10077696 + (17512838671963*z^7)/2985984 - 
           (887260417934291*z^8)/165888 + (625152768148067*z^9)/384)*
          Cf[z]^11 - (1386225395*Cf[z]^9*tS0[z])/15552)*tS1[z]^3 + 
       ((-18469099925*z^2)/124416 + (833692647725*z^3)/6912)*Cf[z]^10*
        tS1[z]^4) + S2[z]^11*
      (((-5680716592886718169*z^20)/86949676628708735770951680 - 
         (25939187498002793461*z^21)/67090799867830814638080 + 
         (407155646953545666247*z^22)/133116666404426219520 - 
         (3354086609691698570569*z^23)/431396604088418304 + 
         (150263807465879091500219*z^24)/14265760717209600 - 
         (986698054386089171745719*z^25)/115579079884800 + 
         (2247585700242824618986583*z^26)/535088332800 - 
         (2598072908826546875387*z^27)/2211840 + 
         (420281195422550033770511*z^28)/2867200 - 
         (1044642600362270456919*z^29)/17920 - (807103788986362521220047*
           z^30)/2240)*Cf[z]^14 + 
       ((654111859467613*z^14)/121330294899867648 - (54105630769718293*z^15)/
          3370285969440768 + (399720768424561553*z^16)/26005292974080 - 
         (1399394672178173*z^17)/8026324992 - (8216611167047586407*z^18)/
          836075520 + (9290706231022437577*z^19)/1290240 - 
         (18766647105476038347*z^20)/8960 + (2961720190276955757*z^21)/14)*
        Cf[z]^12*tS0[z] + ((-14286665287865*z^8)/371504185344 + 
         (34005265408243*z^9)/429981696 - (33066722858569*z^10)/663552 + 
         (12577758470887*z^11)/2304 + (22198520399061*z^12)/8)*Cf[z]^10*
        tS0[z]^2 + ((32848925*z^2)/648 - (1519073515*z^3)/36)*Cf[z]^8*
        tS0[z]^3 + (((4966560423361437289*z^16)/8386349983478851829760 - 
           (26612569356006397*z^17)/14444082726174720 + 
           (15995291496025376213*z^18)/12839184645488640 + 
           (118247283389189775671*z^19)/52010585948160 - 
           (1564990204114975675879*z^20)/321052999680 + 
           (214203716679851296915*z^21)/55738368 - 
           (188880387579358394747*z^22)/129024 + (2042406829123436091357*
             z^23)/8960 - (2056576826196452867319*z^24)/2240)*Cf[z]^13 + 
         ((-3680273981423*z^10)/557256278016 + (1081739530403*z^11)/
            60466176 - (797718281079919*z^12)/44789760 + 
           (12029295806887639*z^13)/1658880 - (731160679021797*z^14)/1280 - 
           (9254403764934219*z^15)/40)*Cf[z]^11*tS0[z] + 
         ((329006239945*z^4)/17915904 - (1119082353155*z^5)/41472 + 
           (480040508399*z^6)/48)*Cf[z]^9*tS0[z]^2)*tS1[z] + 
       (((-238980366261892973*z^12)/404434316332892160 + 
           (223653527904461969*z^13)/104021171896320 - 
           (62809490881959727*z^14)/21403533312 + (32909283352405808359*z^15)/
            20065812480 - (712343947156022483*z^16)/20643840 - 
           (23449746240965143269*z^17)/71680 + (173214570944573756109*z^18)/
            1792)*Cf[z]^12 + ((85087920247*z^6)/53747712 - 
           (5051850428269*z^7)/1492992 + (16986058864825*z^8)/6912 - 
           (9722990345643*z^9)/16)*Cf[z]^10*tS0[z] + 
         (359277415*Cf[z]^8*tS0[z]^2)/3456)*tS1[z]^2 + 
       (((124010034882275*z^8)/1114512556032 - (100413198256141*z^9)/
            214990848 + (16590009672542867*z^10)/23887872 - 
           (4120793513945963*z^11)/9216 + (13701774381037589*z^12)/128)*
          Cf[z]^11 + ((582578125*z^2)/15552 - (6151403915*z^3)/216)*Cf[z]^9*
          tS0[z])*tS1[z]^3 + ((5643262395425*z^4)/214990848 - 
         (7073651894195*z^5)/165888 + (20321708924021*z^6)/1152)*Cf[z]^10*
        tS1[z]^4 + (4728199495*Cf[z]^9*tS1[z]^5)/20736) + 
     S2[z]^10*(((2232363171184893487*z^22)/65212257471531551828213760 - 
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           (2024294481439424603*z^17)/8960 + (11844438924942142803*z^18)/
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           (6887912668615*z^7)/1492992 - (8366230872245*z^8)/2304 + 
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       (((4740122489287259*z^14)/121330294899867648 - 
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           (356338527117584085553*z^18)/1672151040 - 
           (7818663824763350921*z^19)/143360 - (680442608116028931*z^20)/
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         ((-18842762989055*z^8)/123834728448 + (189923117083259*z^9)/
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           (1103852758270589*z^11)/4608 - (1446081489699357*z^12)/32)*
          Cf[z]^10*tS0[z] + ((-829596625*z^2)/10368 + (13575372415*z^3)/288)*
          Cf[z]^8*tS0[z]^2)*tS1[z]^2 + 
       (((-3327984255053*z^10)/3343537668096 + (1391221820779145*z^11)/
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           (153571380030427271*z^13)/3317760 - (8777000782075981*z^14)/360 + 
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           (202608120851189*z^8)/36864 + (1191217653038273*z^9)/768)*
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       ((-5267869375*z^2)/62208 + (113117479195*z^3)/1728)*Cf[z]^9*
        tS1[z]^5) + S2[z]^9*(((-4737305127353976931631*z^24)/
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           (13688093922324641119*z^18)/52254720 + (46003332121982072443*z^19)/
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         ((-759107001625*z^8)/30958682112 - (14989122929851*z^9)/107495424 + 
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           (5697592235729*z^13)/162 + (54308391256008331*z^14)/3840 - 
           (90447838483101159*z^15)/40)*Cf[z]^10*tS0[z] + 
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           (689673121060802759*z^13)/936190547066880 - 
           (6648752756916737*z^14)/433421549568 - (7423109341668808567*z^15)/
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           (95628606781393319107*z^17)/107520 + (149996424848088180987*z^18)/
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       (((244574138468935*z^8)/1486016741376 - (2922661424045321*z^9)/
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           (1922536178898425*z^11)/4608 + (29130852130180067*z^12)/320)*
          Cf[z]^10 + ((176433925*z^2)/5184 - (6301171535*z^3)/288)*Cf[z]^8*
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         (11041932267295*z^5)/497664 + (4935854181553*z^6)/576)*Cf[z]^9*
        tS1[z]^5 + (2017490315*Cf[z]^8*tS1[z]^6)/41472) + 
     S2[z]^8*(((101208140953782418193*z^26)/1201992329715269563297636024320 - 
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         (159589274306877975316354421589*z^38)/616000 - 
         (107601938943042345141839645691*z^39)/19250)*Cf[z]^14 + 
       ((415385774106703133*z^20)/1207634397620954663485440 + 
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         (40355735004634883759*z^22)/4313966040884183040 + 
         (9151319636872076441*z^23)/369853055631360 - 
         (15917037344459576059787*z^24)/462316319539200 + 
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         (751471706859758917898067*z^29)/5600 - 
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       ((-9616108184735*z^14)/249650812551168 + (7432395900642329*z^15)/
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         (176414568324002839*z^17)/2508226560 - (8004566206328639*z^18)/
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         (2370913851221053137*z^20)/560 - (17157697352434719297*z^21)/40)*
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         (267178595621*z^9)/497664 + (2619715888469*z^10)/6912 - 
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           (3677555947821478741041*z^30)/10240 + (19109057263006391415177489*
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           (65315580537628146217890591*z^33)/700)*Cf[z]^13 + 
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           (87060049571770024069*z^19)/8668430991360 + 
           (2798752678274374408157*z^20)/200658124800 - 
           (54231772827337634131*z^21)/5734400 + (3788828598911058646333*
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           (36180313996353392814129*z^24)/700)*Cf[z]^11*tS0[z] + 
         ((67186236667*z^10)/1719926784 - (8687750984983*z^11)/95551488 + 
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           (63649114924933*z^14)/640 + (42672023076737043*z^15)/40)*Cf[z]^9*
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           37525425816*z^6)*Cf[z]^7*tS0[z]^3)*tS1[z] + 
       (((-34970347993544771*z^18)/3727266659323934146560 - 
           (870846403045621519*z^19)/12941898122652549120 + 
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           (509430742814963852479*z^22)/343985356800 - 
           (39055914087098812142249*z^23)/33443020800 + 
           (35229294137915509824103*z^24)/61931520 - 
           (23330334261463690049571*z^25)/143360 + 
           (515780656701891899864337*z^26)/22400 - 
           (1145170006400256529293981*z^27)/1400)*Cf[z]^12 + 
         ((7454745527708581*z^12)/5617143282401280 - (4878039043834613*z^13)/
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           (552551432718124271*z^15)/836075520 - (1395073703581458493*z^16)/
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           (72006029748185561829*z^18)/1120)*Cf[z]^10*tS0[z] + 
         ((-3365599001*z^6)/331776 + (456266548171*z^7)/27648 - 
           (10361091277285*z^8)/1152 + (3302626133307*z^9)/2)*Cf[z]^8*
          tS0[z]^2 + (19626665*Cf[z]^6*tS0[z]^3)/12)*tS1[z]^2 + 
       (((1902266615987555*z^14)/53924575511052288 - 
           (105365839615695145*z^15)/748952437653504 + 
           (23261178441836276701*z^16)/104021171896320 - 
           (40015124414385202123*z^17)/240789749760 + 
           (50866242863621192011*z^18)/1393459200 + 
           (50886231278292751913*z^19)/1843200 - (224729055335037835839*z^20)/
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         ((-4431881671045*z^8)/15479341056 + (3721488409829*z^9)/5971968 - 
           (9738165917311*z^10)/18432 + (483663759962563*z^11)/2304 - 
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         ((1330275*z^2)/8 - (557616145*z^3)/8)*Cf[z]^7*tS0[z]^2)*tS1[z]^3 + 
       (((-5590559989225*z^10)/990677827584 + (62985368189149*z^11)/
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           (76220634657157799*z^13)/1658880 - (317502707011931213*z^14)/
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           (81983204045*z^6)/32)*Cf[z]^8*tS0[z])*tS1[z]^4 + 
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         (23356435*Cf[z]^7*tS0[z])/288)*tS1[z]^5 + 
       ((-359128445*z^2)/27648 + (128138603*z^3)/12)*Cf[z]^8*tS1[z]^6) + 
     S2[z]^7*(((271041220690563355513*z^28)/
          101997634835838588656970828349440 - (52491315735014191416121*z^29)/
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          18597569723362701817675776000 + (10007526882489998280639331*z^32)/
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          3296144130048000 + (6633713338930805811831487381*z^37)/
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         (403991127023727073423600697661*z^39)/275968000 - 
         (1251523791026323243398668924523*z^40)/6899200 + 
         (5643150873121507833179989774299*z^41)/431200 - 
         (113242303362005691277466615443857*z^42)/269500)*Cf[z]^14 + 
       ((-628140111266729837*z^22)/2070230395921636565975040 + 
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         (18715701328339872509537*z^24)/4659083324154917683200 + 
         (183298148237481122260339*z^25)/32354745306631372800 - 
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         (-117715920*z^2 + 47981179008*z^3)*Cf[z]^2*tS0[z]^5)*tS1[z]^2 + 
       (((6397008454970470920229*z^28)/45192094427771365416952135680000 - 
           (430722765006657564533419*z^29)/418445318775660790897704960000 + 
           (7992594042598529835998287*z^30)/2324696215420337727209472000 - 
           (2142431845402631456285543*z^31)/305752343147666472960000 + 
           (874715372811150119732051887*z^32)/89687353989982165401600 - 
           (8156441575934923392614368933*z^33)/830438462870205235200 + 
           (193692159832273406321329430501*z^34)/26213335317872640000 - 
           (16909703130226835058393432322403*z^35)/4004815118008320000 + 
           (2530843954081050720992456033383*z^36)/1373393387520000 - 
           (8747954600934347786185788702691*z^37)/14306181120000 + 
           (30178112768667618219532150127347*z^38)/198696960000 - 
           (96371462429446457350616851917*z^39)/3520000 + 
           (291895349132025715133490123736323*z^40)/86240000 - 
           (691886668119753257728653890059263*z^41)/2695000 + 
           (3035387218110893519593054844858589*z^42)/336875)*Cf[z]^11 + 
         ((-174836132970954277*z^22)/26207343698371411968000 + 
           (25673752879204744207*z^23)/727981769399205888000 - 
           (5136868078605757731491*z^24)/60665147449933824000 + 
           (318080995576617925109*z^25)/2600529297408000 - 
           (1629305430779082484939*z^26)/13759414272000 + 
           (416944660659592758339119*z^27)/5159780352000 - 
           (19910823993009171982201399*z^28)/501645312000 + 
           (6109479444192949450877351*z^29)/435456000 - 
           (28178357166174743113232237*z^30)/8064000 + 
           (32654404987716723830861229*z^31)/56000 - 
           (102486650873849660195509887*z^32)/1750 + 
           (2341373757492333504600087588*z^33)/875)*Cf[z]^9*tS0[z] + 
         ((1341662142299693*z^16)/42128574618009600 - (4661509946844403*z^17)/
            48759924326400 + (6038956592419307*z^18)/42998169600 - 
           (1722185670371362211*z^19)/12541132800 + 
           (200039605427685950837*z^20)/2090188800 - 
           (22177119195833868923*z^21)/483840 + (313285977162621193881*z^22)/
            22400 - (1691039514505935451293*z^23)/700 + 
           (31270120102239959990718*z^24)/175)*Cf[z]^7*tS0[z]^2 + 
         ((7108807087*z^10)/8398080 - (1606776211111*z^11)/933120 + 
           (11315416669871*z^12)/8640 - (3584142713095*z^13)/8 + 
           (309261512938077*z^14)/5 - (7341074194168944*z^15)/5)*Cf[z]^5*
          tS0[z]^3 + ((-27824585*z^4)/18 + 734750320*z^5 - 14975345664*z^6)*
          Cf[z]^3*tS0[z]^4)*tS1[z]^3 + 
       (((-207061941243894214691*z^24)/2490745945093218993438720000 + 
           (12520626246286327513*z^25)/23726813224863006720000 - 
           (60934591282080564849611*z^26)/40038997316956323840000 + 
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           (1495535540864865426901567387*z^30)/993257717760000 + 
           (72389307858200691681116610799*z^31)/110361968640000 - 
           (141189433343577376386786183281*z^32)/681246720000 + 
           (7826660005619432723593990501*z^33)/168960000 - 
           (31142714824333799486016493851*z^34)/4480000 + 
           (968226841263498305047570783143*z^35)/1540000 - 
           (9970138148761491042127140984483*z^36)/385000)*Cf[z]^10 + 
         ((9913111250831389*z^18)/2527714477080576000 - 
           (2545539938755934243*z^19)/140428582060032000 + 
           (86953783969004523961*z^20)/2340476367667200 - 
           (342621170746850189851*z^21)/7739670528000 + 
           (16939271903615771912891*z^22)/501645312000 - 
           (8505098217179939543519*z^23)/497664000 + 
           (1110202407636352369654439*z^24)/193536000 - 
           (551486947628460131039133*z^25)/448000 + 
           (4289935373135876898805491*z^26)/28000 - 
           (14743865061685091887894107*z^27)/1750)*Cf[z]^8*tS0[z] + 
         ((-1804029083623*z^12)/36279705600 + (140217222629129*z^13)/
            895795200 - (10081822078953367*z^14)/49766400 + 
           (95496159959294111*z^15)/691200 - (1207703054425879169*z^16)/
            23040 + (4198922113661680899*z^17)/400 - 
           (43368521704121963709*z^18)/50)*Cf[z]^6*tS0[z]^2 + 
         ((1762090303*z^6)/6480 - (72977604961*z^7)/180 + (993952887483*z^8)/
            5 - (160320301954128*z^9)/5)*Cf[z]^4*tS0[z]^3 - 
         162575280*Cf[z]^2*tS0[z]^4)*tS1[z]^4 + 
       (((3965667454978687*z^20)/145596353879841177600 - 
           (96902267844861887*z^21)/674057193888153600 + 
           (94713441229812417569*z^22)/280857164120064000 - 
           (1807812007986908091233*z^23)/3900793946112000 + 
           (276623171263382741743*z^24)/668860416000 - 
           (27936939287965822529399*z^25)/111476736000 + 
           (1456172482287719768410799*z^26)/13934592000 - 
           (5734164791290210403931259*z^27)/193536000 + 
           (306310488022729294655991*z^28)/56000 - 
           (16638210149456601687530817*z^29)/28000 + 
           (25273162135548476296140348*z^30)/875)*Cf[z]^9 + 
         ((-10798683660883*z^14)/9751984865280 + (2664115625102413*z^15)/
            677221171200 - (222212239039041953*z^16)/37623398400 + 
           (847630775565993089*z^17)/174182400 - (23025185101488170851*z^18)/
            9676800 + (18575745841802051479*z^19)/26880 - 
           (15464694880889251227*z^20)/140 + (1312573616896876460073*z^21)/
            175)*Cf[z]^7*tS0[z] + ((8255031883*z^8)/746496 - 
           (179161505593*z^9)/8640 + (1733272111963*z^10)/120 - 
           (22146826472646*z^11)/5 + (2522781592901496*z^12)/5)*Cf[z]^5*
          tS0[z]^2 + (-12409000*z^2 + 4970502720*z^3)*Cf[z]^3*tS0[z]^3)*
        tS1[z]^5 + (((-323850774054667*z^16)/84257149236019200 + 
           (3016755036762559*z^17)/195039697305600 - (72114703656991349*z^18)/
            2708884684800 + (91983194659503427*z^19)/3583180800 - 
           (63523820169949310891*z^20)/4180377600 + 
           (27382848124804063567*z^21)/4838400 - (116065456579181458597*z^22)/
            89600 + (466199438984203424067*z^23)/2800 - 
           (1607495236381173937599*z^24)/175)*Cf[z]^8 + 
         ((1416666325*z^10)/13436928 - (348232678699*z^11)/1492992 + 
           (126315795834667*z^12)/622080 - (83332516266173*z^13)/960 + 
           (727113421627521*z^14)/40 - (7432650370365282*z^15)/5)*Cf[z]^6*
          tS0[z] + ((-14302225*z^4)/108 + 72280525*z^5 - 5860992600*z^6)*
          Cf[z]^4*tS0[z]^2)*tS1[z]^6 + 
       (((-188847248579*z^12)/1015831756800 + (1474122747371*z^13)/
            2090188800 - (545302361891051*z^14)/522547200 + 
           (2857883409710069*z^15)/3628800 - (6521396131418461*z^16)/20160 + 
           (96666430942710249*z^17)/1400 - (1051902019226755314*z^18)/175)*
          Cf[z]^7 + ((15738595*z^6)/2592 - (671056915*z^7)/72 + 
           (28006162285*z^8)/6 - 764817651000*z^9)*Cf[z]^5*tS0[z] - 
         4779600*Cf[z]^3*tS0[z]^2)*tS1[z]^7 + 
       (((16407695*z^8)/186624 - (569179639*z^9)/3456 + (33016696409*z^10)/
            288 - 35144211134*z^11 + 4003414585884*z^12)*Cf[z]^6 + 
         (-175750*z^2 + 68896800*z^3)*Cf[z]^4*tS0[z])*tS1[z]^8 + 
       ((-195625*z^4)/324 + (874000*z^5)/3 - 10908000*z^6)*Cf[z]^5*tS1[z]^9 - 
       14000*Cf[z]^4*tS1[z]^10)
 
Ff[9] = 28988077030404355191321669662061803219/
      2570211520995583576695416309369085288775680000 + 
     (54693493492925091909126898763819874331*z)/
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     (19895159732913004040918282739981475596061*z^2)/
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      3187994955637160984881137897701376000 - 
     (422250913937286064149663371658218133570373*z^4)/
      73796179528637985761137451335680000 + 
     (437464803584943495831917896036375601627659*z^5)/
      85412244824812483519835013120000 - 
     (1080703370399980515297505517563604089188463*z^6)/
      395427059374131868147384320000 + 
     (4203514098519779778211711407205168742447*z^7)/
      5230516658387987673907200 - (68113416106269693085056134237495231*z^8)/
      678301257701523456 + ((-406902036364198427495455510004415863*z^48)/
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       (48734359146074051268130162925942739695773*z^52)/
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       (776147608758982744891745285031581668609199*z^54)/
        73108238819429932848225175022053981547397120000 + 
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       (1105904276831832324456053038453209615227*z^56)/
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       (67094805511238964823799067877799794002047*z^58)/
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       (376567025695098178565230597932685396159*z^60)/
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       (1217777324629272219849650983938025889357*z^62)/
        6696591972330299719680000 + (93652935424287242800567282250010604457*
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     ((-6410157625*z^2)/786432 + (297533881875*z^3)/32768)*Cf[z]^16*
      S2[z]^23 + (80727925*Cf[z]^16*S2[z]^24)/4096 + 
     (16773558202408609375799764241367419/
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       (12923245147221321534861453544699299451*z)/
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       (146632011993733252427995142180428489399*z^3)/
        53944575678828936959895797760000 + 
       (60038548337101811210637777635108153041*z^4)/
        20811950493375361481441280000 - 
       (57042102517077290989753950677518389289*z^5)/
        32117207551505187471360000 + (78988343699780212534746161456908092899*
         z^6)/133821698131271614464000 - (10891299474332109838717796947867189*
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       ((39710680317222235298851718071252387*z^42)/
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         (2225652250250720006569668384239613901*z^43)/
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         (188165192032800336890990261220213496498757*z^55)/
          18731516213329920000 + (7161018805592699873201362126890477269083*
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         (54046292007410013412489632126969083547456*z^63)/143)*Cf[z]^14)*
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        4112480592927194252942644346880000 + 
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         z^5)/455547719673446400 - (701716022714170388892895693386953*z^6)/
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         (4904789371730544692023283251400587*z^40)/
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         (9218967995337170799824353289948383513*z^42)/
          1410315704021671554507079680000 + 
         (3562278959229220043233421837310935599*z^43)/
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         (235382014629306907476383635739328810397*z^44)/
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           z^45)/1153386753986396160000 - 
         (135005103400161614895767995896333374437*z^46)/
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           z^48)/13561067520000 + (790826076884798179056160791058263351*z^49)/
          14350336000 - (67123138292209672078106019258851849199*z^50)/
          6278272000 + (603022283087756044512840268822117952661*z^51)/
          392392000 - (2160905581610329861964979353087447182587*z^52)/
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         (7078651640523997293763217648956947093072*z^54)/25025)*Cf[z]^12)*
      tS0[z]^2 + (486129155490345413126629/98120294806702566408192 - 
       (158811869301903213457543927*z)/5678257801313805926400 + 
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         (2835842879202052987572665985923*z^31)/
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         (3526420731571906572649228183691*z^32)/
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           z^33)/13948177292522026363256832000 + 
         (26969279120495456442417057194321*z^34)/
          322874474363935795445760000 - (1041274355391866802625640023333351*
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         (989970411222440616925937683562191*z^36)/9639017872600596480000 - 
         (23411399040886899575585327928972337*z^37)/312375579204648960000 + 
         (1841860533473863169947600990060651*z^38)/43823734456320000 - 
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         (2135290058092978325113064492905207*z^40)/357654528000 - 
         (6106904759767046372804988590674759*z^41)/4139520000 + 
         (22849040604866669579262542854621509*z^42)/86240000 - 
         (176076797979436426975485262240018287*z^43)/5390000 + 
         (166683751693285246312853020796459217*z^44)/67375 - 
         (5847904242455149327815059846198561424*z^45)/67375)*Cf[z]^10)*
      tS0[z]^3 + (-1079381547472586561087/1112194369915453440 + 
       (53541609325511487756743*z)/12872620022169600 - 
       (471362770561815481231*z^2)/73574645760 + 
       (96461765293315574862497*z^3)/22992076800 - 
       (1056783453308714950097*z^4)/1064448 + 
       ((-911520767896106263219517*z^24)/59777902682237255842529280000 + 
         (15420598422873573776576633*z^25)/138374774727401055191040000 - 
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         (5021021326581887093842110259*z^29)/5959546306560000 - 
         (1445847915251530609744461257*z^30)/2627665920000 + 
         (4539233796600747281866303337*z^31)/17418240000 - 
         (1032589934106116143064449006159*z^32)/11612160000 + 
         (143397851040039929465925811231*z^33)/6720000 - 
         (957951400725425515133954224413*z^34)/280000 + 
         (2881405689471229342725200148309*z^35)/8750 - 
         (63001789124649170367976195253598*z^36)/4375)*Cf[z]^8)*tS0[z]^4 + 
     (187946948875872263/3482851737600 - (6179231206112489*z)/33177600 + 
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         (21793230511903999809*z^17)/175 + (1739498195941662959352*z^18)/175)*
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       1052553600*Cf[z]^2*tS0[z]^4)*tS1[z]^6 + 
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         (124484580126433*z^15)/6270566400 + (5130815331534157*z^16)/
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         (2282810393017580347*z^18)/201600 - (5357678608565066947*z^19)/
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         (5646990318586558208496*z^21)/175)*Cf[z]^7*tS0[z] + 
       ((-53797735*z^8)/864 + (44048259079*z^9)/432 - (247620399001*z^10)/4 + 
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       (-123334000*z^2 + 54460569600*z^3)*Cf[z]^3*tS0[z]^3)*tS1[z]^7 + 
     (((9304345795723*z^16)/2808571641200640 - (56039575956137*z^17)/
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         (3327395099363371*z^19)/418037760 + (5416331477270713*z^20)/
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         (8315218562836833251*z^22)/8960 + (13692139736813669259*z^23)/70 - 
         (551745475886850669468*z^24)/35)*Cf[z]^8 + 
       ((-1343945*z^10)/248832 - (523192865*z^11)/2592 + 
         (159314012723*z^12)/432 - (1979321647949*z^13)/8 + 
         73310283051969*z^14 - 8116997073578064*z^15)*Cf[z]^6*tS0[z] + 
       ((-29755375*z^4)/6 + 4369872000*z^5 - 959578531200*z^6)*Cf[z]^4*
        tS0[z]^2)*tS1[z]^8 + 
     (((920721841667*z^12)/304749527040 - (13569535735793*z^13)/1410877440 + 
         (20187296520163*z^14)/1632960 - (1502325781854167*z^15)/181440 + 
         (6176178618646583*z^16)/2016 - (20851932088997706*z^17)/35 + 
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       ((-16670965*z^6)/216 + (908211245*z^7)/9 - (131449346320*z^8)/3 + 
         6318055319040*z^9)*Cf[z]^5*tS0[z] - 19104000*Cf[z]^3*tS0[z]^2)*
      tS1[z]^9 + (((-97900325*z^8)/279936 + (1143975275*z^9)/1944 - 
         (13275245275*z^10)/36 + 101923569900*z^11 - 10475999244000*z^12)*
        Cf[z]^6 + (-1110000*z^2 + 487296000*z^3)*Cf[z]^4*tS0[z])*tS1[z]^10 + 
     ((-400625*z^4)/27 + (38980000*z^5)/3 - 2835792000*z^6)*Cf[z]^5*
      tS1[z]^11 - 40000*Cf[z]^4*tS1[z]^12 + 
     S2[z]^22*(((1079213737475*z^4)/1019215872 - (916943892575*z^5)/294912 + 
         (31477733506005*z^6)/16384)*Cf[z]^16 + (32512321325*Cf[z]^15*tS1[z])/
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         (13449352845625*z^7)/56623104 - (201307886977295*z^8)/393216 + 
         (1007327625163875*z^9)/4096)*Cf[z]^16 + (1435875925*Cf[z]^14*tS0[z])/
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        Cf[z]^15*tS1[z]) + S2[z]^20*(((-21710088633125*z^8)/990677827584 + 
         (797131299484135*z^9)/18345885696 + (41535665505635*z^10)/14155776 - 
         (4427706695451125*z^11)/98304 + (43109471910032721*z^12)/2048)*
        Cf[z]^16 + ((-498213625*z^2)/36864 + (53270506625*z^3)/4096)*Cf[z]^14*
        tS0[z] + ((1892798358125*z^4)/95551488 - (89795303512775*z^5)/
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       (2655588125*Cf[z]^14*tS1[z]^2)/1152) + 
     S2[z]^19*(((194050325631805*z^10)/95105071448064 - 
         (12201816042211505*z^11)/1320903770112 + (1214415848712595*z^12)/
          95551488 - (2584282639965195*z^13)/524288 - 
         (30303463837934419*z^14)/16384 + (2558585746892840589*z^15)/2048)*
        Cf[z]^16 + ((1031274413575*z^4)/382205952 - (4811435873825*z^5)/
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       (((-1399117366145*z^6)/4586471424 + (318844250627095*z^7)/63700992 - 
           (2415546578264695*z^8)/294912 + (7251391067558325*z^9)/2048)*
          Cf[z]^15 + (11819133025*Cf[z]^13*tS0[z])/36864)*tS1[z] + 
       ((-845655120875*z^2)/884736 + (11703105301075*z^3)/12288)*Cf[z]^14*
        tS1[z]^2) + S2[z]^18*(((742600498365775*z^12)/30814043149172736 + 
         (70702870351765435*z^13)/190210142896128 - (51083766719404175*z^14)/
          36691771392 + (2617978900681875109*z^15)/1528823808 - 
         (14799970691160425*z^16)/18432 + (586669161504368961*z^17)/16384 + 
         (13018705844684580747*z^18)/256)*Cf[z]^16 + 
       ((-38381734885*z^6)/127401984 + (31097930393605*z^7)/31850496 - 
         (9451305983615*z^8)/9216 + (181402310355555*z^9)/512)*Cf[z]^14*
        tS0[z] + (6515534075*Cf[z]^12*tS0[z]^2)/36864 + 
       (((-250699416361325*z^8)/990677827584 + (3272206395960745*z^9)/
            9172942848 + (4853404320783005*z^10)/14155776 - 
           (35942296850113225*z^11)/49152 + (591075357712345035*z^12)/2048)*
          Cf[z]^15 + ((-541193625*z^2)/4096 + (394065370825*z^3)/3072)*
          Cf[z]^13*tS0[z])*tS1[z] + ((14161200451975*z^4)/95551488 - 
         (598569924540125*z^5)/1769472 + (740003359732365*z^6)/4096)*Cf[z]^14*
        tS1[z]^2 + (239402887075*Cf[z]^13*tS1[z]^3)/27648) + 
     S2[z]^17*(((-18838715763921235*z^14)/986049380773527552 + 
         (1953330662663391965*z^15)/31955304006549504 - 
         (8656043093944734455*z^16)/221911833378816 - 
         (35845056877114587919*z^17)/513684799488 + 
         (15905424287814087121*z^18)/132120576 - (44381721306172161955*z^19)/
          688128 + (1380605437509980695911*z^20)/143360 + 
         (11569506146602418742921*z^21)/8960)*Cf[z]^16 + 
       ((215970159885425*z^8)/11888133931008 - (1297366467565075*z^9)/
          13759414272 + (3480253513841825*z^10)/21233664 - 
         (4443984688284455*z^11)/36864 + (8331222079106673*z^12)/256)*
        Cf[z]^14*tS0[z] + ((-617788625*z^2)/9216 + (33879298325*z^3)/512)*
        Cf[z]^12*tS0[z]^2 + (((999665604388595*z^10)/31701690482688 - 
           (155163925638057365*z^11)/1320903770112 + 
           (206048992188642587*z^12)/1528823808 - (214644665280204565*z^13)/
            7077888 - (287952998576137015*z^14)/8192 + 
           (8384244233069663937*z^15)/512)*Cf[z]^15 + 
         ((13557377606975*z^4)/573308928 - (63266011010125*z^5)/1327104 + 
           (36811493504935*z^6)/1536)*Cf[z]^13*tS0[z])*tS1[z] + 
       (((-20940855517555*z^6)/3057647616 + (5037033760599935*z^7)/
            127401984 - (5205892482822215*z^8)/98304 + 
           (10628033570605365*z^9)/512)*Cf[z]^14 + 
         (160715459825*Cf[z]^12*tS0[z])/110592)*tS1[z]^2 + 
       ((-3133694855725*z^2)/884736 + (41158107322405*z^3)/12288)*Cf[z]^13*
        tS1[z]^3) + S2[z]^16*
      (((180369916510435265*z^16)/124242221977464471552 - 
         (9681194506097508509*z^17)/1150390944235782144 + 
         (2170411439023135577293*z^18)/119832390024560640 - 
         (120447186963101134961*z^19)/6849130659840 + 
         (2390011005639844419817*z^20)/428070666240 + 
         (927242081172596606891*z^21)/297271296 - 
         (3317787352344444297567*z^22)/1146880 + 
         (88164488179328696232093*z^23)/143360 + 
         (105027522155748002740239*z^24)/8960)*Cf[z]^16 + 
       ((14349200883655*z^10)/35664401793024 + (2846592739310555*z^11)/
          990677827584 - (6918339549017111*z^12)/573308928 + 
         (7238222977461509*z^13)/442368 - (30044602062640805*z^14)/3072 + 
         (570542378422593051*z^15)/256)*Cf[z]^14*tS0[z] + 
       ((367715759575*z^4)/47775744 - (2192568226325*z^5)/110592 + 
         (43950965215*z^6)/4)*Cf[z]^12*tS0[z]^2 + 
       (((-118015443339575*z^12)/124825406275584 + (2769994312635797657*z^13)/
            332867750068224 - (7723671640366928623*z^14)/385263599616 + 
           (17825365806265187575*z^15)/891813888 - (7881863569016467873*z^16)/
            1032192 - (4556346615040877541*z^17)/14336 + 
           (5755892282335805170833*z^18)/8960)*Cf[z]^15 + 
         ((-4561435093595*z^6)/1719926784 + (382338764953595*z^7)/47775744 - 
           (1808317247489915*z^8)/221184 + (1439148390762445*z^9)/512)*
          Cf[z]^13*tS0[z] + (8179291525*Cf[z]^11*tS0[z]^2)/4608)*tS1[z] + 
       (((-26075669033795*z^8)/27518828544 + (1220393394524701*z^9)/
            4586471424 + (40272779035334255*z^10)/10616832 - 
           (77150890576836733*z^11)/16384 + (1639369066263237999*z^12)/1024)*
          Cf[z]^14 + ((-171944222225*z^2)/331776 + (4726715794835*z^3)/9216)*
          Cf[z]^12*tS0[z])*tS1[z]^2 + ((1145643508945*z^4)/1990656 - 
         (526336251798475*z^5)/442368 + (912801902748505*z^6)/1536)*Cf[z]^13*
        tS1[z]^3 + (9730283985*Cf[z]^12*tS1[z]^4)/512) + 
     S2[z]^15*(((-169524458919992939*z^18)/23002559954684850733056 + 
         (3054820151050805618419*z^19)/11181799977971802439680 - 
         (61549376827741229580437*z^20)/51767592490610196480 + 
         (267568175205028656969071*z^21)/119832390024560640 - 
         (121503999490653241831319*z^22)/55477958344704 + 
         (44379793909840686528211*z^23)/40131624960 - 
         (41511878176925415949981*z^24)/212336640 - 
         (172499762005252360207033*z^25)/3440640 + 
         (211073502700589121240003*z^26)/10240 - 
         (1904383124840019075344523*z^27)/4480)*Cf[z]^16 + 
       ((-2382598390491755*z^12)/7988826001637376 + (420370088704264805*z^13)/
          499301625102336 - (178120836030587827*z^14)/288947699712 - 
         (586055611508125271*z^15)/1337720832 + (5875768610231414269*z^16)/
          6193152 - (7954147940349260003*z^17)/14336 + 
         (259852316101091926263*z^18)/2240)*Cf[z]^14*tS0[z] + 
       ((47858771425*z^6)/95551488 + (186415368085*z^7)/248832 - 
         (80837200677325*z^8)/36864 + (263677678099995*z^9)/256)*Cf[z]^12*
        tS0[z]^2 - (4424908925*Cf[z]^10*tS0[z]^3)/6912 + 
       (((-73141852408905191*z^14)/554652776685109248 + 
           (121893340326952399439*z^15)/539245755110522880 + 
           (762557993205518163937*z^16)/1664338750341120 - 
           (1190641259811021870997*z^17)/770527199232 + 
           (21154091384501007045361*z^18)/13377208320 - 
           (200940269377961940505*z^19)/294912 + (11048221357309876951431*
             z^20)/143360 + (143725567864739784126939*z^21)/8960)*Cf[z]^15 + 
         ((29344231755175*z^8)/110075314176 - (3277543194558115*z^9)/
            3439853568 + (3620236125451849*z^10)/2654208 - 
           (699779291133769*z^11)/768 + (60469631690710659*z^12)/256)*
          Cf[z]^13*tS0[z] + ((-7220274425*z^2)/9216 + (256501439395*z^3)/384)*
          Cf[z]^11*tS0[z]^2)*tS1[z] + 
       (((5974090652179417*z^10)/35664401793024 - (129260850447954821*z^11)/
            247669456896 + (2107515150802653521*z^12)/4586471424 + 
           (563753673685336897*z^13)/10616832 - (6035932176221614453*z^14)/
            24576 + (44226847085469102027*z^15)/512)*Cf[z]^14 + 
         ((760078374665*z^4)/10616832 - (103906575908125*z^5)/663552 + 
           (63346351352855*z^6)/768)*Cf[z]^12*tS0[z])*tS1[z]^2 + 
       (((-201622713601163*z^6)/5159780352 + (22243122732221371*z^7)/
            143327232 - (236530971499661197*z^8)/1327104 + 
           (196145680240162369*z^9)/3072)*Cf[z]^13 + 
         (3521899085*Cf[z]^11*tS0[z])/1024)*tS1[z]^3 + 
       ((-15085382187875*z^2)/1990656 + (188378801046155*z^3)/27648)*Cf[z]^12*
        tS1[z]^4) + S2[z]^14*
      (((-850789912156209550099*z^20)/130424514943063103656427520 + 
         (65194714611958043842427*z^21)/2415268795241909326970880 - 
         (701985177560141894039*z^22)/23007818884715642880 - 
         (252911495335037108764829*z^23)/8627932081768366080 + 
         (2273727368764224267477509*z^24)/19972065004093440 - 
         (336883961668838312828923*z^25)/2568423997440 + 
         (587999395814568737861131*z^26)/7644119040 - 
         (5598773118628554589709471*z^27)/247726080 + 
         (3002889602219715677466927*z^28)/1433600 + 
         (3057516614687266815141213*z^29)/11200 - 
         (163671149174766014587785201*z^30)/11200)*Cf[z]^16 + 
       ((22617202852533115*z^14)/485321179599470592 - 
         (26177790236112746369*z^15)/134811438777630720 + 
         (271814481615174540821*z^16)/832169375170560 - 
         (521225437904504538479*z^17)/1926317998080 + 
         (9064514590822478671*z^18)/95551488 + (30246963570255915079*z^19)/
          2580480 - (1398214105911931002939*z^20)/71680 + 
         (20023861911960513317499*z^21)/4480)*Cf[z]^14*tS0[z] + 
       ((-345714938791195*z^8)/1486016741376 + (837140793098129*z^9)/
          1719926784 - (658597459766983*z^10)/2654208 - 
         (572307233608381*z^11)/9216 + (7068584914602009*z^12)/128)*Cf[z]^12*
        tS0[z]^2 + ((1107836425*z^2)/5184 - (117777243995*z^3)/576)*Cf[z]^10*
        tS0[z]^3 + (((209112784233952771219*z^16)/12579524975218277744640 - 
           (2263519817591130388223*z^17)/29119270775968235520 + 
           (36012925682782159240513*z^18)/269622877555261440 - 
           (43065401560535133149413*z^19)/499301625102336 - 
           (32232353247271287357767*z^20)/1444738498560 + 
           (427733723612078601577547*z^21)/6688604160 - 
           (524128460869817459767093*z^22)/15482880 + 
           (59703170941866186170767*z^23)/10240 + (144710991301501034052885*
             z^24)/896)*Cf[z]^15 + ((-122791449370555*z^10)/4458050224128 + 
           (26561575221917365*z^11)/247669456896 - (203918924126646953*z^12)/
            1146617856 + (105137541493464293*z^13)/663552 - 
           (38788669809893085*z^14)/512 + (1972482940771851339*z^15)/128)*
          Cf[z]^13*tS0[z] + ((9833381444435*z^4)/71663616 - 
           (41831169922225*z^5)/165888 + (2720154013055*z^6)/24)*Cf[z]^11*
          tS0[z]^2)*tS1[z] + (((-851269272404535569*z^12)/86664496357048320 + 
           (28062433810675109123*z^13)/534966026895360 - 
           (122750584015328172827*z^14)/1238347284480 + 
           (2804345291332207695089*z^15)/34398535680 - 
           (298395578823638230381*z^16)/13271040 - 
           (88583033844471505567*z^17)/15360 + (4172647687356711154371*z^18)/
            1280)*Cf[z]^14 + ((-500524958995*z^6)/107495424 + 
           (3395072203445*z^7)/186624 - (4762494330862517*z^8)/221184 + 
           (4137192084762669*z^9)/512)*Cf[z]^12*tS0[z] + 
         (75732481445*Cf[z]^10*tS0[z]^2)/13824)*tS1[z]^2 + 
       (((-1408525063538575*z^8)/1671768834048 - (5015278319345765*z^9)/
            967458816 + (402219567149027621*z^10)/23887872 - 
           (10257082809362419501*z^11)/663552 + (7083196682366488117*z^12)/
            1536)*Cf[z]^13 + ((-139022323525*z^2)/124416 + 
           (7504425294055*z^3)/6912)*Cf[z]^11*tS0[z])*tS1[z]^3 + 
       ((405870123562475*z^4)/322486272 - (14245323795307595*z^5)/5971968 + 
         (15453656730325357*z^6)/13824)*Cf[z]^12*tS1[z]^4 + 
       (765875120365*Cf[z]^11*tS1[z]^5)/31104) + 
     S2[z]^13*(((6648060909088325459669*z^22)/12520753434534057951017041920 - 
         (17253691089983085868373*z^23)/4968552950211927758340096 + 
         (190851706455216959074481*z^24)/20127239960349244391424 - 
         (133624902987007953310679*z^25)/9706423591989411840 + 
         (12810899138688166923085507*z^26)/1198323900245606400 - 
         (2716783950860591622083453*z^27)/951050714480640 - 
         (21545144951056787678369917*z^28)/9631589990400 + 
         (433042889471088702173312453*z^29)/178362777600 - 
         (390655939966682032254443*z^30)/409600 + 
         (462556710695159657341954647*z^31)/2867200 - 
         (599017126147110795115745991*z^32)/89600 + 
         (68178251453319223963925319*z^33)/1600)*Cf[z]^16 + 
       ((-196963638686463269329*z^16)/50318099900873110978560 + 
         (609258735133152924047*z^17)/29119270775968235520 - 
         (911886004687853824487*z^18)/19258776968232960 + 
         (3667353893732239426517*z^19)/62412703137792 - 
         (123829335321313960967957*z^20)/2889476997120 + 
         (29818088660397104156839*z^21)/1672151040 - 
         (26311753189767969847951*z^22)/7741440 - 
         (193970087233339265035*z^23)/1792 + (62912886704231619681333*z^24)/
          560)*Cf[z]^14*tS0[z] + ((103646718326431*z^10)/4458050224128 - 
         (164858357509903*z^11)/1934917632 + (7960519431142225*z^12)/
          71663616 - (743331302734021*z^13)/12288 + (30410380226094893*z^14)/
          3072 + (76759897086804735*z^15)/64)*Cf[z]^12*tS0[z]^2 + 
       ((-690809290105*z^4)/53747712 + (5685311506175*z^5)/124416 - 
         (7772579105905*z^6)/288)*Cf[z]^10*tS0[z]^3 + 
       (((-901673273425022857937*z^18)/1207634397620954663485440 + 
           (89415308147669999529253*z^19)/16772699966957703659520 - 
           (115978161161194662231997*z^20)/7765138873591529472 + 
           (970745330341203885973193*z^21)/44937146259210240 - 
           (7070996349759286451858923*z^22)/416084687585280 + 
           (868787119269148729723157*z^23)/137594142720 + 
           (4228487336300155619381*z^24)/55738368 - 
           (2205615137841395615027153*z^25)/2580480 + 
           (38090507100990959094331269*z^26)/179200 - 
           (23755821660484885522532043*z^27)/5600)*Cf[z]^15 + 
         ((2163588566662020053*z^12)/1213302948998676480 - 
           (8394487651865903647*z^13)/936190547066880 + 
           (39992892341462036209*z^14)/2167107747840 - 
           (618255310824052214003*z^15)/30098718720 + 
           (31084561013467864601*z^16)/2322432 - (53083614936669669385*z^17)/
            10752 + (455739101538527011011*z^18)/560)*Cf[z]^13*tS0[z] + 
         ((-1703525740109*z^6)/214990848 + (94034476817509*z^7)/2985984 - 
           (936199043113811*z^8)/27648 + (715305676096657*z^9)/64)*Cf[z]^11*
          tS0[z]^2 - (25605253435*Cf[z]^9*tS0[z]^3)/5184)*tS1[z] + 
       (((-440463246557265571*z^14)/11647708310387294208 - 
           (158839792242064549211*z^15)/115552661809397760 + 
           (1035237511389758401919*z^16)/178322008965120 - 
           (2690808280209295890157*z^17)/288947699712 + 
           (144464205855179198180513*z^18)/20065812480 - 
           (31176925777760006001061*z^19)/12386304 + 
           (11169995872343998191591*z^20)/71680 + (723491092329869016770049*
             z^21)/8960)*Cf[z]^14 + ((738233146154725*z^8)/2229025112064 - 
           (3548941015763183*z^9)/2579890176 + (3190391408350547*z^10)/
            1327104 - (26235267240741197*z^11)/13824 + 
           (71025093265372847*z^12)/128)*Cf[z]^12*tS0[z] + 
         ((-110985251525*z^2)/41472 + (36682557155*z^3)/18)*Cf[z]^10*
          tS0[z]^2)*tS1[z]^2 + (((60204683004793085*z^10)/160489808068608 - 
           (2054531001664200943*z^11)/2229025112064 + 
           (18389358052618041643*z^12)/51597803520 + 
           (15623960822302878667*z^13)/19906560 - (458822956849297282771*
             z^14)/552960 + (299743533160995193543*z^15)/1280)*Cf[z]^13 + 
         ((40453729885015*z^4)/322486272 - (213549523293785*z^5)/746496 + 
           (32783292887657*z^6)/216)*Cf[z]^11*tS0[z])*tS1[z]^3 + 
       (((-3198857856392365*z^6)/30958682112 + (142493150923796675*z^7)/
            429981696 - (334705158778554889*z^8)/995328 + 
           (127709607135235057*z^9)/1152)*Cf[z]^12 + 
         (519752151205*Cf[z]^10*tS0[z])/124416)*tS1[z]^4 + 
       ((-28185046897775*z^2)/2985984 + (335029298968855*z^3)/41472)*Cf[z]^11*
        tS1[z]^5) + S2[z]^12*
      (((-8739688746011482823791*z^24)/540896548371871303483936210944 + 
         (192244582144603224093785*z^25)/1252075343453405795101704192 - 
         (1081267172574314711434867*z^26)/1811451596431431995228160 + 
         (288048768317868936043650917*z^27)/223635999559436048793600 - 
         (84940378196704008394141169*z^28)/49302469038676377600 + 
         (177597513591676780046549689*z^29)/119832390024560640 - 
         (106273740355179470221465037*z^30)/132090377011200 + 
         (1569072208278103919666450131*z^31)/6421059993600 - 
         (54969206879301798052835417*z^32)/2972712960 - 
         (162461614957644941444460697*z^33)/12902400 + 
         (2788334002681039601558535459*z^34)/716800 - 
         (215066091655649196326806857*z^35)/640 + 
         (60955049147886385812389928843*z^36)/5600)*Cf[z]^16 + 
       ((6882507855819638899*z^18)/75477149851309666467840 - 
         (3575351693730286043507*z^19)/4193174991739425914880 + 
         (18701306534940984439517*z^20)/6470949061326274560 - 
         (33045223765777292441431*z^21)/6419592322744320 + 
         (1140567958168811993136133*z^22)/208042343792640 - 
         (585451712939025444634637*z^23)/160526499840 + 
         (833937300456731460050399*z^24)/557383680 - 
         (447040713037642414290991*z^25)/1290240 + 
         (2959210033849301790057921*z^26)/89600 + 
         (4481663810651900734988061*z^27)/5600)*Cf[z]^14*tS0[z] + 
       ((12538699524929443*z^12)/40443431633289216 + (66135097587957197*z^13)/
          31206351568896 - (385450558355088881*z^14)/48157949952 + 
         (4911737735590003273*z^15)/501645312 - (257758653295462843*z^16)/
          48384 + (2110047821382902091*z^17)/1792 - 
         (23474679846391127583*z^18)/560)*Cf[z]^12*tS0[z]^2 + 
       ((-1841715253331*z^6)/322486272 + (24921626795761*z^7)/4478976 + 
         (5097034567411*z^8)/4608 - (153461999684831*z^9)/96)*Cf[z]^10*
        tS0[z]^3 + (41371044395*Cf[z]^8*tS0[z]^4)/10368 + 
       (((-47645291526410545267*z^20)/8694967662870873577095168 - 
           (46304204543391831051331*z^21)/603817198810477331742720 + 
           (14944888055451294374503*z^22)/29119270775968235520 - 
           (3452843143594742975922637*z^23)/2696228775552614400 + 
           (57350146523363193443242567*z^24)/33286775006822400 - 
           (39503538027464247992327893*z^25)/28894769971200 + 
           (337735636759558262964413333*z^26)/535088332800 - 
           (44915383233454541765057987*z^27)/309657600 + 
           (12251917396289600190750067*z^28)/2867200 + 
           (159813255271771107348926373*z^29)/44800 - 
           (1937125461005873903688244569*z^30)/11200)*Cf[z]^15 + 
         ((16473914431707571*z^14)/181995442349801472 - 
           (7889903355791214887*z^15)/101108579083223040 - 
           (4992959597077010693*z^16)/10402117189632 + 
           (126009916936889876483*z^17)/103195607040 - 
           (1865922063976532647777*z^18)/1433272320 + 
           (279091857878368554797*z^19)/368640 - (2170303223509224407809*
             z^20)/8960 + (4826227355437765485771*z^21)/140)*Cf[z]^13*
          tS0[z] + ((-241788968975225*z^8)/185752092672 + 
           (259857209139473*z^9)/214990848 + (976433983631039*z^10)/663552 - 
           (9787914575008373*z^11)/4608 + (10705089554706777*z^12)/16)*
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           (1439634493828107037483*z^15)/30098718720 + 
           (5177736357679116427687*z^16)/92897280 - 
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         (1697113973020975*z^5)/995328 + (544170319399471*z^6)/768)*Cf[z]^10*
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     S2[z]^9*(((-14691918189988400103442421*z^30)/
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           (1112701498915964799841*z^21)/806400 + (14528346319369787265761*
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           (86314247554451157*z^14)/40 + (931770311075252874*z^15)/5)*Cf[z]^6*
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           1580264629200*z^6)*Cf[z]^4*tS0[z]^3)*tS1[z]^6 + 
       (((279345528813461*z^18)/5055428954161152000 - 
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           (16213559685336143109121059*z^27)/7000)*Cf[z]^9 + 
         ((-962024565037*z^12)/56435097600 + (65946427387051*z^13)/
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           (3196365943654652457*z^17)/700 + (81093681382808534364*z^18)/175)*
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           (516754507147*z^8)/2 + 44268584719896*z^9)*Cf[z]^5*tS0[z]^2 + 
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       (((426217566061*z^14)/696570347520 - (5999985367660211*z^15)/
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           (7731632224716367*z^17)/2721600 + (13673914673850689171*z^18)/
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           (2019892395*z^8)/2 + 175194691560*z^9)*Cf[z]^6 + 
         1980000*Cf[z]^4*tS0[z])*tS1[z]^10 + ((115000*z^2)/3 - 15204000*z^3)*
        Cf[z]^5*tS1[z]^11)
 
Ff[10] = 24950386930815161025998282306922721525671433/
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00 + (21577865340210987983867705674528717264332685403*z^55)/
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0 - (111111065907390431363289811194566074430778607177*z^56)/
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     (((132265666192204411*z^22)/4367890616395235328000 - 
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         (3521784972066291969524689797*z^32)/11200 - 
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       ((-8744939529211*z^16)/3900793946112 + (73239275092723*z^17)/
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         (1087248828844270207*z^19)/87091200 - (8108863999394516219*z^20)/
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         (243372539969162263887*z^22)/560 + (7968106610051174416584*z^23)/
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       ((573400705*z^10)/31104 - (12534377825*z^11)/576 + 
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       ((880865000*z^4)/3 - 259220928000*z^5 + 57052373760000*z^6)*Cf[z]^4*
        tS0[z]^3)*tS1[z]^8 + (((19972631199529171*z^18)/1895785857810432000 - 
         (2680644608651942431*z^19)/52660718272512000 + 
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         (11108857839961142003920729*z^24)/580608000 - 
         (1870924320170068405277401*z^25)/448000 + 
         (2102064726730670686861641*z^26)/4000 - 
         (7250944163326714265009157*z^27)/250)*Cf[z]^9 + 
       ((-357763847051*z^12)/846526464 + (2780559382187*z^13)/1959552 - 
         (51505453019009*z^14)/27216 + (1969913373804553*z^15)/1512 - 
         (62065851512264735*z^16)/126 + (682556752930607736*z^17)/7 - 
         (55468507397525399808*z^18)/7)*Cf[z]^7*tS0[z] + 
       ((190633085*z^6)/27 - 9264648360*z^7 + 4039503190880*z^8 - 
         585234937658880*z^9)*Cf[z]^5*tS0[z]^2 + 1006080000*Cf[z]^3*tS0[z]^3)*
      tS1[z]^9 + (((-9140519859563*z^14)/2925595459584 + 
         (9003111375244529*z^15)/812665405440 - (123936347258051837*z^16)/
          7524679680 + (174690063796410823*z^17)/13063680 - 
         (46045928435934093*z^18)/7168 + (3074888120688535799*z^19)/1680 - 
         (80343776729179674693*z^20)/280 + (133907400726327418626*z^21)/7)*
        Cf[z]^8 + ((44741425*z^8)/648 - (3173316005*z^9)/27 + 
         74644227230*z^10 - 20955643955040*z^11 + 2193336000714240*z^12)*
        Cf[z]^6*tS0[z] + (87960000*z^2 - 38700288000*z^3)*Cf[z]^4*tS0[z]^2)*
      tS1[z]^10 + (((545112425*z^10)/3359232 - (28323431225*z^11)/93312 + 
         (566072539315*z^12)/2592 - (2664551183165*z^13)/36 + 
         11309799956070*z^14 - 549777215293920*z^15)*Cf[z]^7 + 
       ((7135000*z^4)/3 - 2088240000*z^5 + 457138944000*z^6)*Cf[z]^5*tS0[z])*
      tS1[z]^11 + (((37441175*z^6)/1944 - (679742050*z^7)/27 + 
         (32806399600*z^8)/3 - 1578450355200*z^9)*Cf[z]^6 + 
       5760000*Cf[z]^4*tS0[z])*tS1[z]^12 + ((500000*z^2)/3 - 72960000*z^3)*
      Cf[z]^5*tS1[z]^13 + S2[z]^25*(((23308721850575*z^4)/2038431744 - 
         (189069926127625*z^5)/4718592 + (1775696138794875*z^6)/65536)*
        Cf[z]^18 + (970491588275*Cf[z]^17*tS1[z])/196608) + 
     S2[z]^24*(((22169120494375*z^6)/24461180928 + (769203025347275*z^7)/
          339738624 - (2761838892510415*z^8)/393216 + (30960683444830905*z^9)/
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       ((-4823900264375*z^2)/2359296 + (76503200947125*z^3)/32768)*Cf[z]^17*
        tS1[z]) + S2[z]^23*(((-3520697890850375*z^8)/10567230160896 + 
         (6540960225319045*z^9)/8153726976 - (4594664625818915*z^10)/
          28311552 - (171474404850707395*z^11)/262144 + 
         (5829514495402483215*z^12)/16384)*Cf[z]^18 + 
       ((-247560329125*z^2)/589824 + (3743866531925*z^3)/8192)*Cf[z]^16*
        tS0[z] + ((133571774504875*z^4)/509607936 - (631006697500775*z^5)/
          786432 + (8336703527290935*z^6)/16384)*Cf[z]^17*tS1[z] + 
       (4341022686625*Cf[z]^16*tS1[z]^2)/98304) + 
     S2[z]^22*(((16399932776544155*z^10)/760840571584512 - 
         (1401649114641340805*z^11)/10567230160896 + 
         (10627681696788444805*z^12)/48922361856 - (3862914396689059645*z^13)/
          37748736 - (7180260755374773917*z^14)/262144 + 
         (386724892727593177983*z^15)/16384)*Cf[z]^18 + 
       ((15968105069275*z^4)/254803968 - (16398495525875*z^5)/98304 + 
         (809418987821775*z^6)/8192)*Cf[z]^16*tS0[z] + 
       (((299350465810205*z^6)/36691771392 + (15549436379443085*z^7)/
            254803968 - (647084570184062105*z^8)/4718592 + 
           (2210311433434890855*z^9)/32768)*Cf[z]^17 + 
         (389746369675*Cf[z]^15*tS0[z])/24576)*tS1[z] + 
       ((-128742071495125*z^2)/7077888 + (1944826276180225*z^3)/98304)*
        Cf[z]^16*tS1[z]^2) + S2[z]^21*
      (((5468996802762207875*z^12)/2958148142320582656 + 
         (1830405006364974935*z^13)/2282521714753536 - 
         (94136092138624043375*z^14)/5283615080448 + 
         (1052126472232531276601*z^15)/36691771392 - 
         (438285207844446050555*z^16)/28311552 + (3447520942687494545*z^17)/
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       ((-6445328789695*z^6)/4586471424 + (2291639303819315*z^7)/127401984 - 
         (34962930710571095*z^8)/1179648 + (107277013961984205*z^9)/8192)*
        Cf[z]^16*tS0[z] + (205287612775*Cf[z]^14*tS0[z]^2)/73728 + 
       (((-517299889726468375*z^8)/95105071448064 + (1217809088885523875*z^9)/
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           (15112051817665176395*z^11)/1179648 + (24716615422901381481*z^12)/
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           (42721221961675*z^3)/6144)*Cf[z]^15*tS0[z])*tS1[z] + 
       ((23084886739392875*z^4)/9172942848 - (145461089862842125*z^5)/
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       (591877863322625*Cf[z]^15*tS1[z]^3)/2654208) + 
     S2[z]^20*(((-698206251066080825*z^14)/1972098761547055104 + 
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         (6034704553255416114599*z^16)/3550589334061056 - 
         (2635264832563671080327*z^17)/8218956791808 + 
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         (182315867115077635656789*z^20)/917504 + 
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       ((-16641817551452975*z^8)/23776267862016 + (21850530749667325*z^9)/
          27518828544 + (75995889073931995*z^10)/42467328 - 
         (900771372431900065*z^11)/294912 + (2431390025855510085*z^12)/2048)*
        Cf[z]^16*tS0[z] + ((-502671147125*z^2)/442368 + (56457285325*z^3)/48)*
        Cf[z]^14*tS0[z]^2 + (((29498585427376525*z^10)/63403380965376 - 
           (5998147919366402195*z^11)/2641807540224 + 
           (78895254885387491993*z^12)/24461180928 - 
           (8414538114213565901*z^13)/7077888 - (80512963379256257399*z^14)/
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         ((1154583489232075*z^4)/1146617856 - (6601259646464525*z^5)/
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       (((-75551305964225*z^6)/6115295232 + (108128831323177525*z^7)/
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           (16760635512133513875*z^9)/32768)*Cf[z]^16 + 
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       ((-160612978680875*z^2)/1769472 + (108403294879775*z^3)/1152)*Cf[z]^15*
        tS1[z]^3) + S2[z]^19*
      (((2824909218391314259295*z^16)/214690559577058606841856 - 
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       ((6221960437281365*z^10)/71328803586048 - (333959931465028555*z^11)/
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         (3621540327918371*z^13)/2359296 - (4769329468315174357*z^14)/24576 + 
         (79522777626716702781*z^15)/1024)*Cf[z]^16*tS0[z] + 
       ((45105317975375*z^4)/286654464 - (530711776935725*z^5)/1327104 + 
         (1392754997473595*z^6)/6144)*Cf[z]^14*tS0[z]^2 + 
       (((57277351104840990035*z^12)/5176759249061019648 + 
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           (6342535104272815446337*z^14)/18492652781568 + 
           (7094697787461333317963*z^15)/16052649984 - 
           (5083239705527335883467*z^16)/24772608 + 
           (7860791573175739481*z^17)/28672 + (244160452903414605184233*z^18)/
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           (427531546998955*z^7)/1492992 - (92579887831237415*z^8)/221184 + 
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         (499688147875*Cf[z]^13*tS0[z]^2)/13824)*tS1[z] + 
       (((-1667411137745720275*z^8)/47552535724032 + (11859438674680685*z^9)/
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           (30919907610686300095*z^11)/294912 + (177208387148791917051*z^12)/
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           (406852705356125*z^3)/9216)*Cf[z]^14*tS0[z])*tS1[z]^2 + 
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         (1345930846613857735*z^6)/73728)*Cf[z]^15*tS1[z]^3 + 
       (1855080815162225*Cf[z]^14*tS1[z]^4)/2654208) + 
     S2[z]^18*(((554551873819833467215*z^18)/429381119154117213683712 - 
         (2692935548556535002245*z^19)/1277919997482491707392 - 
         (111127011897285253999115*z^20)/11832592569282330624 + 
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         (31674251133927426696142869*z^26)/57344 - 
         (15316266389963743167857037*z^27)/35840)*Cf[z]^18 + 
       ((-446420232050467835*z^12)/161773726533156864 + 
         (947449806607847215*z^13)/36985305563136 - 
         (10806192938302501333*z^14)/171228266496 + 
         (981413440562845543055*z^15)/16052649984 - 
         (147373853440074223205*z^16)/8257536 - (194984323738760959833*z^17)/
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       ((-67950664565*z^6)/107495424 + (3381753380629085*z^7)/95551488 - 
         (53356609114092095*z^8)/884736 + (53585434297078355*z^9)/2048)*
        Cf[z]^14*tS0[z]^2 - (9744595525*Cf[z]^12*tS0[z]^3)/7776 + 
       (((-47666072727347603315*z^14)/10353518498122039296 + 
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           (29096619075295591417757*z^16)/2662942000545792 - 
           (12387984071168670681781*z^17)/684913065984 + 
           (6986345339100644335213487*z^18)/214035333120 - 
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           (1273841796296090905361559*z^20)/573440 + 
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         ((-20115669005784275*z^8)/2972033482752 + (1575587005269905*z^9)/
            764411904 + (333063910139849735*z^10)/10616832 - 
           (95065303732751455*z^11)/2304 + (7553868407130078531*z^12)/512)*
          Cf[z]^15*tS0[z] + ((-1253802179875*z^2)/82944 + (4191531863225*z^3)/
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       (((358826027141931265*z^10)/95105071448064 - 
           (61058401864681444105*z^11)/3962711310336 + 
           (689104795040610201505*z^12)/36691771392 - 
           (46071539269135108609*z^13)/10616832 - (1065084816144800719417*
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         ((956955665343125*z^4)/143327232 - (2266885816796125*z^5)/147456 + 
           (51054878814743195*z^6)/6144)*Cf[z]^14*tS0[z])*tS1[z]^2 + 
       (((-5866745442488285*z^6)/13759414272 + (3994294328807485435*z^7)/
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           (52848274351130931635*z^9)/24576)*Cf[z]^15 + 
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       ((-1481494104248375*z^2)/5308416 + (1907016653187625*z^3)/6912)*
        Cf[z]^14*tS1[z]^4) + S2[z]^17*
      (((-8243984780821959993025*z^20)/52169805977225241462571008 + 
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         (262607173269106061943842347*z^27)/495452160 + 
         (172849538274265052014963161*z^28)/4587520 + 
         (842648740528590049555934451*z^29)/71680 - 
         (5711716660747060010116397277*z^30)/17920)*Cf[z]^18 + 
       ((-586290190374891995*z^14)/2588379624530509824 + 
         (9246378903981955*z^15)/427972821516288 + 
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         (4897472470848994282831*z^17)/770527199232 + 
         (105004316986001102453179*z^18)/17836277760 - 
         (30075933267735043028383*z^19)/13762560 + 
         (400926637466493931131*z^20)/57344 + (2386245092114231379940257*
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       ((-2574297343773925*z^8)/1114512556032 + (38876471819976355*z^9)/
          10319560704 + (86597779070705*z^10)/62208 - 
         (265862608566445175*z^11)/55296 + (509225364023846581*z^12)/256)*
        Cf[z]^14*tS0[z]^2 + ((1115261875*z^2)/5184 - (8652569975*z^3)/24)*
        Cf[z]^12*tS0[z]^3 + 
       (((11323244756924398541555*z^16)/40254479920698488782848 - 
           (42951895165087599685297*z^17)/23295416620774588416 + 
           (9160662315868303139681333*z^18)/2156983020442091520 - 
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           (26951184792290323145513179*z^20)/23115815976960 + 
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           (21538500194007371222276611*z^22)/24772608 + 
           (48103438197462536693848459*z^23)/286720 + 
           (16257812609534217040829493*z^24)/1792)*Cf[z]^17 + 
         ((11425903473543445*z^10)/11888133931008 - 
           (1640781803286145945*z^11)/495338913792 + 
           (6535404813294488273*z^12)/2293235712 + (6261423474876522917*z^13)/
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           (231002399657244006945*z^15)/256)*Cf[z]^15*tS0[z] + 
         ((255395564200525*z^4)/107495424 - (5164631327996525*z^5)/995328 + 
           (3082036281475025*z^6)/1152)*Cf[z]^13*tS0[z]^2)*tS1[z] + 
       (((-48766191081434949065*z^12)/970642359198941184 + 
           (332372719269213551603*z^13)/374476218826752 - 
           (4355570993005370355907*z^14)/1733686198272 + 
           (130060126346365637579947*z^15)/48157949952 - 
           (311814288212057199559433*z^16)/297271296 - 
           (29835221973236569459625*z^17)/344064 + 
           (7860635463453129313248891*z^18)/71680)*Cf[z]^16 + 
         ((-398497958551805*z^6)/1146617856 + (43791999340229315*z^7)/
            23887872 - (1071620549217680525*z^8)/442368 + 
           (975961908004958805*z^9)/1024)*Cf[z]^14*tS0[z] + 
         (941390791075*Cf[z]^12*tS0[z]^2)/5184)*tS1[z]^2 + 
       (((-2980715254662915805*z^8)/26748301344768 + 
           (2989262983148636591*z^9)/30958682112 + 
           (59931947592575173771*z^10)/191102976 - 
           (620827541708073906869*z^11)/1327104 + (524802240814475605829*
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       ((54701774041708475*z^4)/1289945088 - (565850772794965175*z^5)/
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       (700371003391885*Cf[z]^13*tS1[z]^5)/497664) + 
     S2[z]^16*(((45868329383215853039083*z^22)/
          10016602747627246360813633536 - (2159844516042755099755273*z^23)/
          43474838314354367885475840 + (1204855903400324034299352901*z^24)/
          6440716787311758205255680 - (1745897473875830490377975641*z^25)/
          4969688879098578862080 + (13748680732878134115366271741*z^26)/
          38346364807859404800 - (47269205525409053133098505419*z^27)/
          266294200054579200 - (257935944218720793830419423*z^28)/
          616421759385600 + (9831322420687701352534507897*z^29)/
          203843174400 - (8537564024578636599307287767*z^30)/367001600 + 
         (86193318487892970969276622473*z^31)/22937600 + 
         (12939073286971124481707133297*z^32)/1433600 - 
         (82069640400298700403031130379*z^33)/17920)*Cf[z]^18 + 
       ((104143977038832243055*z^16)/4472719991188720975872 - 
         (143730693840626822719*z^17)/1294189812265254912 + 
         (25476845878770282678229*z^18)/179748585036840960 + 
         (12081808081999277641379*z^19)/138694895861760 - 
         (49008310243668066035657*z^20)/128421199872 + 
         (831795304763784108959677*z^21)/2229534720 - 
         (12486614506935457782779*z^22)/81920 + 
         (595495397195209157784957*z^23)/35840 + 
         (14590353678228749919718449*z^24)/4480)*Cf[z]^16*tS0[z] + 
       ((25930676166934315*z^10)/106993205379072 - (155837178356176505*z^11)/
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         (223128605062119595*z^13)/589824 - (2198558920043695031*z^14)/
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       ((376091824675*z^4)/3359232 - (765621884125*z^5)/15552 - 
         (4005168248935*z^6)/144)*Cf[z]^12*tS0[z]^3 + 
       (((4035019316390213746913*z^18)/966107518096763730788352 + 
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           (486496873095654281530303873*z^23)/1926317998080 - 
           (16138347143457427399680391*z^24)/557383680 - 
           (57384128779022399830587749*z^25)/2580480 + 
           (1938742903125387576753193911*z^26)/286720 + 
           (173615738222099545604703*z^27)/560)*Cf[z]^17 + 
         ((-3850445370861845915*z^12)/107849151022104576 + 
           (33528392490140151923*z^13)/124825406275584 - 
           (341471193429446330113*z^14)/577895399424 + 
           (670462316542878929779*z^15)/1337720832 - 
           (1022401881656315355641*z^16)/12386304 - 
           (1458307554422833745415*z^17)/14336 + (368157424111348147324281*
             z^18)/8960)*Cf[z]^15*tS0[z] + 
         ((-530239828574435*z^6)/5159780352 + (7081823226653315*z^7)/
            11943936 - (170974674242054795*z^8)/221184 + 
           (150795986613089055*z^9)/512)*Cf[z]^13*tS0[z]^2 - 
         (14358986425*Cf[z]^11*tS0[z]^3)/648)*tS1[z] + 
       (((-138565923760280037487*z^14)/6655833320221310976 + 
           (82427846508558249883517*z^15)/1617737265331568640 + 
           (45517252577575005401225*z^16)/1997206500409344 - 
           (2101231261797986596166701*z^17)/11557907988480 + 
           (27155073514915198065183413*z^18)/128421199872 - 
           (46853923501578758483679433*z^19)/495452160 + 
           (10151531150891007393270651*z^20)/1146880 + 
           (229276472557707080688314493*z^21)/71680)*Cf[z]^16 + 
         ((-24651039587802575*z^8)/990677827584 - (47856195158359031*z^9)/
            1719926784 + (3229870198355114749*z^10)/15925248 - 
           (8259297859914721367*z^11)/36864 + (9521697724172923557*z^12)/128)*
          Cf[z]^14*tS0[z] + ((-76785305152325*z^2)/995328 + 
           (319157120076095*z^3)/4608)*Cf[z]^12*tS0[z]^2)*tS1[z]^2 + 
       (((9771255567599949527*z^10)/641959232274432 - 
           (472874766061571995777*z^11)/8916100448256 + 
           (2194563024011699316407*z^12)/41278242816 - 
           (1001729470267720579*z^13)/15925248 - (5527733769081963460165*
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         ((3425369169456955*z^4)/143327232 - (8493583365399125*z^5)/165888 + 
           (30331339233671525*z^6)/1152)*Cf[z]^13*tS0[z])*tS1[z]^3 + 
       (((-275447869025567503*z^6)/123834728448 + (4800242075688965927*z^7)/
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           (202287692526519126473*z^9)/36864)*Cf[z]^14 + 
         (47919568221385*Cf[z]^12*tS0[z])/55296)*tS1[z]^4 + 
       ((-6527081891871125*z^2)/11943936 + (85482303203500705*z^3)/165888)*
        Cf[z]^13*tS1[z]^5) + S2[z]^15*
      (((19809563246799568259456861*z^24)/64907585804624556418072345313280 - 
         (629674422784612940117909*z^25)/834716895635603863401136128 - 
         (59005560951509149022913079*z^26)/23186580434322329538920448 + 
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         (120363383109772588557615375911*z^28)/4141407399248815718400 + 
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         (172535644406343784677911221187*z^30)/8321693751705600 + 
         (366526055097267531510368983789*z^31)/51368479948800 - 
         (35385302369294094386524976707*z^32)/59454259200 - 
         (1013107625812991366728862639473*z^33)/2477260800 + 
         (42983836853788861002450969291*z^34)/358400 - 
         (2451021283850470939003781695797*z^35)/358400 + 
         (3178618294804718278495507985007*z^36)/22400)*Cf[z]^18 + 
       ((-8781094112074338077*z^18)/8625959983006819024896 + 
         (11278213610773732004521*z^19)/1397724997246475304960 - 
         (49387721103131085265333*z^20)/2156983020442091520 + 
         (248934629345881815111619*z^21)/8559456430325760 - 
         (162135006539035826594635*z^22)/13869489586176 - 
         (1220654099438767482246781*z^23)/107017666560 + 
         (14812768453977644716937963*z^24)/928972800 - 
         (62473921372828067981907317*z^25)/8601600 + 
         (25453648327773260056010499*z^26)/22400 + 
         (438417099452068156462082553*z^27)/11200)*Cf[z]^16*tS0[z] + 
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            62282884715265392640000 - (1552184883740240128077406229429*z^30)/
            1730080130979594240000 + (1922128345288228095433455120263*z^31)/
            2288465781719040000 - (772237794936503579751966954438101*z^32)/
            1334938372669440000 + (35741024071947884184726289626781*z^33)/
            120394874880000 - (18646809345885428186434625330887*z^34)/
            164229120000 + (28587577033583904773019701247941303*z^35)/
            894136320000 - (6668886336210312965002889337524503*z^36)/
            1034880000 + (2372959912151936059110139462380243*z^37)/2695000 - 
           (9852202066054041858836050718681061*z^38)/134750 + 
           (939022840128076879212652036495953006*z^39)/336875)*Cf[z]^11*
          tS0[z] + ((903435335328833351*z^20)/2022171581664460800 - 
           (7828856024671877431*z^21)/3343537668096000 + 
           (64192419217679793889529*z^22)/11702381838336000 - 
           (87774098077688764702979*z^23)/11609505792000 + 
           (6810501303079687325447203*z^24)/1003290624000 - 
           (19268969388103195547021251*z^25)/4644864000 + 
           (25370128363857048829971913*z^26)/14515200 - 
           (2021634401994654299276234371*z^27)/4032000 + 
           (656228532251468816826756849*z^28)/7000 - 
           (515932139408484245706669033*z^29)/50 + 
           (444401710963842276079006012128*z^30)/875)*Cf[z]^9*tS0[z]^2 + 
         ((-3151878624894469*z^14)/609499054080 + (798427719398407321*z^15)/
            42326323200 - (22750199357060973017*z^16)/783820800 + 
           (88818239623822171181*z^17)/3628800 - (2467143130449203895079*
             z^18)/201600 + (2034276232243958411179*z^19)/560 - 
           (2966674694346271646316*z^20)/5 + (7204621257308252888046576*z^21)/
            175)*Cf[z]^7*tS0[z]^3 + ((870079267955*z^8)/31104 - 
           (3872419692115*z^9)/72 + 38368816252596*z^10 - 12046279321839960*
            z^11 + 1405231347019845312*z^12)*Cf[z]^5*tS0[z]^4 + 
         (-24265670400*z^2 + 10098329978880*z^3)*Cf[z]^3*tS0[z]^5)*tS1[z]^5 + 
       (((-90274378880423051419139*z^28)/2054186110353243882588733440000 + 
           (96625652062309953679073*z^29)/272425337744570827407360000 - 
           (456268412615901984463620319*z^30)/352226699306111776849920000 + 
           (4383557733916529040108486419*z^31)/1537497496971122835456000 - 
           (12672348018828141680985413883941*z^32)/
            2989578466332738846720000 + (1419956730854003678346036054517*
             z^33)/314560023814471680000 - (512893456576700067741185576855413*
             z^34)/144173344248299520000 + (150944741516913317882298798574127*
             z^35)/71514555678720000 - (12059206180344445480498510425294611*
             z^36)/12713698787328000 + (47326857311364433498667481970190021*
             z^37)/147149291520000 - (64443484072865644240959909119768789*
             z^38)/794787840000 + (40714049242462393098983080578370053*z^39)/
            2759680000 - (126514282646453411912888063460730293*z^40)/
            68992000 + (3008632100459100360236145988786303011*z^41)/
            21560000 - (6602179969807157345231992557176989551*z^42)/1347500)*
          Cf[z]^12 + ((9058235478364180841*z^22)/2183945308197617664000 - 
           (1475024332191210341351*z^23)/60665147449933824000 + 
           (107584960849842798212953*z^24)/1685142984720384000 - 
           (929118618924617116590163*z^25)/9361905470668800 + 
           (44036330628340093993393631*z^26)/433421549568000 - 
           (41277772072820486848180393*z^27)/573308928000 + 
           (36188397616701964084907426281*z^28)/1003290624000 - 
           (89070849496820436903572555147*z^29)/6967296000 + 
           (50698463107251511212279547267*z^30)/16128000 - 
           (57229596370044473022044250111*z^31)/112000 + 
           (1730163880118804489220231387*z^32)/35 - 
           (1886401641651883611176435255676*z^33)/875)*Cf[z]^10*tS0[z] + 
         ((-116733739076170799*z^16)/1170238183833600 + 
           (1644094743816285247*z^17)/4063327027200 - 
           (159511295818644158917*z^18)/225740390400 + 
           (2180522122437592976351*z^19)/3135283200 - 
           (73616049030888601521379*z^20)/174182400 + 
           (32775008225983491072637*z^21)/201600 - 
           (108337617851610134140899*z^22)/2800 + (912186550272612735385182*
             z^23)/175 - (7611906527372599935115356*z^24)/25)*Cf[z]^8*
          tS0[z]^2 + ((673268339827*z^10)/839808 - (172435782960589*z^11)/
            93312 + (21855629733306943*z^12)/12960 - (45707739601911211*z^13)/
            60 + (851805825270018174*z^14)/5 - (75439814203368651744*z^15)/5)*
          Cf[z]^6*tS0[z]^3 + ((-7830280150*z^4)/9 + 674505406200*z^5 - 
           127273182776640*z^6)*Cf[z]^4*tS0[z]^4)*tS1[z]^6 + 
       (((103931165712771667813*z^24)/68106334436142706851840000 - 
           (3805728186332955246703*z^25)/280272981218694266880000 + 
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           (11427874444115681281980559*z^27)/129756009823469568000 + 
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           (28340961951734749025634972997*z^29)/333734593167360000 + 
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           (1807809579053065862955377499799*z^31)/96566722560000 + 
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           (22480385144734710187725249518033*z^33)/24837120000 + 
           (3050481525031376852266055756403*z^34)/31360000 - 
           (56344176465293977818421404935619*z^35)/10780000 + 
           (297900321428261772146808432536229*z^36)/2695000)*Cf[z]^11 + 
         ((-74725532140369139*z^18)/210642873090048000 + 
           (9186707427719204759*z^19)/5851190919168000 - 
           (13870708245559691047*z^20)/4643802316800 + 
           (1612273187314882377973*z^21)/501645312000 - 
           (90115778980847518530881*z^22)/41803776000 + 
           (360928119168443625423509*z^23)/387072000 - 
           (25036656536666115144254459*z^24)/96768000 + 
           (9847761190559305745417313*z^25)/224000 - 
           (57053836611595613969118711*z^26)/14000 + 
           (132573626253787194382161267*z^27)/875)*Cf[z]^9*tS0[z] + 
         ((77611549085237*z^12)/14108774400 - (1727479286849521*z^13)/
            130636800 + (275071109443275409*z^14)/21772800 - 
           (1814700611140866227*z^15)/302400 + (4767936116377808539*z^16)/
            3360 - (23509846002502545993*z^17)/175 + 
           (37023532739921115144*z^18)/175)*Cf[z]^7*tS0[z]^2 + 
         ((1161663109*z^6)/162 - (138611176466*z^7)/9 + 9424399207592*z^8 - 
           1770000564120192*z^9)*Cf[z]^5*tS0[z]^3 - 11115388800*Cf[z]^3*
          tS0[z]^4)*tS1[z]^7 + 
       (((4923491438881163*z^20)/1819954423498014720 - 
           (1957784142947104163*z^21)/140428582060032000 + 
           (63126461081168974529*z^22)/1950396973056000 - 
           (11562813232797709886389*z^23)/260052929740800 + 
           (160358296641293194832557*z^24)/4013162496000 - 
           (2733381800786719600845263*z^25)/111476736000 + 
           (289875695858695501431628459*z^26)/27869184000 - 
           (583261196932602880525793329*z^27)/193536000 + 
           (1025276581197192556782371397*z^28)/1792000 - 
           (3620678028215243947222723317*z^29)/56000 + 
           (23474082891287273725963521513*z^30)/7000)*Cf[z]^10 + 
         ((-15204596279269*z^14)/203166351360 + (16071693320656831*z^15)/
            56435097600 - (29641293665007191*z^16)/65318400 + 
           (357638978323931947*z^17)/907200 - (81547930073942172187*z^18)/
            403200 + (34393310739110203161*z^19)/560 - 
           (1791845758728028546596*z^20)/175 + (126714605200806512262528*
             z^21)/175)*Cf[z]^8*tS0[z] + ((4859920445*z^8)/5184 - 
           (14545960685*z^9)/8 + (3920762749220*z^10)/3 - 
           413029012995240*z^11 + 48462839622142560*z^12)*Cf[z]^6*tS0[z]^2 + 
         (-944548000*z^2 + 388616025600*z^3)*Cf[z]^4*tS0[z]^3)*tS1[z]^8 + 
       (((-1837475923643165*z^16)/2527714477080576 + (28397826846750467*z^17)/
            9751984865280 - (27297636923034073583*z^18)/5417769369600 + 
           (370434045643547120621*z^19)/75246796800 - 
           (12422517732494023071163*z^20)/4180377600 + 
           (10974990585080340962009*z^21)/9676800 - 
           (170704537666066082303*z^22)/640 + (7031104762404193555347*z^23)/
            200 - (343326930919798253758614*z^24)/175)*Cf[z]^9 + 
         ((49631969825*z^10)/3359232 - (3175187205395*z^11)/93312 + 
           (80552982691093*z^12)/2592 - (506573283126943*z^13)/36 + 
           3158929965321954*z^14 - 281281638088345824*z^15)*Cf[z]^7*tS0[z] + 
         ((-183512500*z^4)/9 + 15527242000*z^5 - 2867913302400*z^6)*Cf[z]^5*
          tS0[z]^2)*tS1[z]^9 + (((60731764998917*z^12)/1218998108160 - 
           (20178857569313*z^13)/156764160 + (9514949665390957*z^14)/
            69672960 - (220938871025387363*z^15)/2903040 + 
           (758058426345211639*z^16)/32256 - (2141550788008635789*z^17)/560 + 
           (18136279844554565979*z^18)/70)*Cf[z]^8 + 
         ((17025415*z^6)/324 - (1257792355*z^7)/9 + 92522177260*z^8 - 
           18066678039360*z^9)*Cf[z]^6*tS0[z] - 164016000*Cf[z]^4*tS0[z]^2)*
        tS1[z]^10 + (((1760820175*z^8)/559872 - (1324586405*z^9)/216 + 
           (13273811630*z^10)/3 - 1402030766080*z^11 + 164801067788880*z^12)*
          Cf[z]^7 + (-6800000*z^2 + 2761632000*z^3)*Cf[z]^5*tS0[z])*
        tS1[z]^11 + ((-15419375*z^4)/324 + 35282500*z^5 - 6291612000*z^6)*
        Cf[z]^6*tS1[z]^12 - 280000*Cf[z]^5*tS1[z]^13)
 
Ff[11] = 667860352699236836501556543374299261966845919161313/
      10485052835465040772828575696469902583365502966431744000000 + 
     (10438973925922251219080184644994458109665823318893*z)/
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      260105405924753057961576130508151431224098816000000 - 
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     (6476005293052559589470494616123865246682474699*z^10)/
      2700654519535022207139840 + 
     ((-667163127881055353386446345337280316887650575346657*z^60)/40197176079\
303832328090488525068136527126043936061635611153783073164754944000000 + 
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0836881785268970856544570858450040681538551491809058401078476800000 - 
       (40894881440690788488048310698314365936066158125548777*z^62)/717970823\
31861268875904650572038138230034800697412329266606979940352000000 + 
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9684542911462521530426102491805716669895427450308365647872000000 - 
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       (683123198295190290498265831623188324150436523763509681*z^72)/
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       (1272316890653999492666764223835020336452529631859461017*z^74)/
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       (1025185259753528947763717132012486497954083452031007*z^79)/
        135539021519965266326323200000)*Cf[z]^20 + 
     ((-8417403109375*z^2)/6291456 + (450817645783125*z^3)/262144)*Cf[z]^20*
      S2[z]^29 + (13209845125*Cf[z]^20*S2[z]^30)/4096 + 
     (12515866394227945339529291100142943179588822769/
        3517529802558051789059506071011105268171465031680000 - 
       (59251563646738544166971091868037311547103078451*z)/
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47405712421634165466118891531308896167364782219434393600000 + 
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5248624334309338345986386322989140963350381440322764800000 + 
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- (2404133949621365270174222945109436786501436735923*z^57)/
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         (816258866337721926305380459489028583710949707048445747*z^75)/
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         (89638024265225629904321591747004308961108896671052667*z^76)/
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         (1496439135942446849240859251899749449739028580406401379*z^77)/
          372772400000 + 
         (71492423219516511573061199699680509633179640066230757993*z^78)/
          198035337500 - 
         (1151254255709527054829406249417501919937829973954392752016*z^79)/
          49508834375 + 
         (270285950541497922307058923784757558794280963492212987328*z^80)/
          282907625 - 
         (1788746408804898558260018376370070525323781374173800448*z^81)/
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         (31208277752027138898017*z^20)/16253308108800 + 
         (363818794180237816023283*z^21)/150493593600 - 
         (8528619787881352664957*z^22)/4423680 + 
         (117366364295888033345367139*z^23)/116121600 - 
         (374913625628409139258704839*z^24)/1075200 + 
         (1711905169765958093355198669*z^25)/22400 - 
         (13533347361486088957833730107*z^26)/1400 + 
         (13454051167034352642916133586*z^27)/25)*Cf[z]^8*tS0[z]^3 + 
       ((10404973558001*z^12)/5038848 - (2548036441334849*z^13)/373248 + 
         (93412238450070301*z^14)/10368 - (886471848884329841*z^15)/144 + 
         (9258277992582736561*z^16)/4 - 456283365259588728696*z^17 + 
         36969171895562802592320*z^18)*Cf[z]^6*tS0[z]^4 + 
       ((-112828577294*z^6)/9 + 16518928159112*z^7 - 7235982212124096*z^8 + 
         1053666036213774336*z^9)*Cf[z]^4*tS0[z]^5 - 1243188172800*Cf[z]^2*
        tS0[z]^6)*tS1[z]^6 + 
     (((-104991348384957234597648709*z^32)/
          126899401153181994090801596989440000 + 
         (54945043877889104489589332807*z^33)/
          7049966730732333005044533166080000 - 
         (2746877727403126517535196205909*z^34)/
          81596837161253854225052467200000 + 
         (201363258904167963475922063073307*z^35)/
          2266578810034829284029235200000 - (16357260123099758452709859216823*
           z^36)/101754379799543402201088000 + 
         (30881288536399880057578379926425977*z^37)/
          145741950233721018777600000 - (1805928907748861475312504218547767*
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         (3028698280374845726064036576855894377*z^39)/
          18742534752278937600000 - (14900087603880040511191247536067247331*
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         (7844030717560574582029013787575743624441*z^41)/
          173541988447027200000 - (26536699272559130991581757071162058707527*
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         (34698972324292267937638457047934070831643*z^43)/7439214182400000 - 
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         (1605589949143490791402246166962017822875799*z^47)/1401400000 - 
         (285927094813062557964710162964503941928001*z^48)/7962500)*
        Cf[z]^13 + ((3369940927975004421631*z^26)/
          36323378365942776987648000 - (75274966884633940711993*z^27)/
          112109192487477706752000 + (464898791009573983171495781*z^28)/
          210204735914020700160000 - (102638722450835872030723392989*z^29)/
          23356081768224522240000 + (636022001909257069734019720973*z^30)/
          108130008186224640000 - (6734083845607793966697128318501*z^31)/
          1201444535402496000 + (326634560005567661294145008697713*z^32)/
          83433648291840000 - (806846346807903055389182303247431*z^33)/
          397303087104000 + (2240076098452419127191050735294923*z^34)/
          2861236224000 - (198208004232466076249417656359124939*z^35)/
          894136320000 + (37118679427607100318591000688067101*z^36)/
          827904000 - (529262111891488789062203504074596891*z^37)/86240000 + 
         (2747930843770210817909493551008604379*z^38)/5390000 - 
         (6540704431041460013408375704602360243*z^39)/336875)*Cf[z]^11*
        tS0[z] + ((-1243955058229401191*z^20)/379157171562086400 + 
         (3735020973104840401399*z^21)/210642873090048000 - 
         (27587449967926284622657*z^22)/650132324352000 + 
         (3210725184719379791482147*z^23)/54177693696000 - 
         (80597624294292600186423673*z^24)/1504935936000 + 
         (1369678416342024989829803863*z^25)/41803776000 - 
         (15977586900193868792317676753*z^26)/1161216000 + 
         (1806676197741159791569027973*z^27)/460800 - 
         (16266765921938994431686667247*z^28)/22400 + 
         (553090332058314097924804791897*z^29)/7000 - 
         (3357854019542453899682700879606*z^30)/875)*Cf[z]^9*tS0[z]^2 + 
       ((14311856388533*z^14)/282175488 - (28680641042439037*z^15)/
          156764160 + (359754095542099399*z^16)/1306368 - 
         (40943617224200557309*z^17)/181440 + (366825151533559931053*z^18)/
          3360 - (218919876170134195062*z^19)/7 + 
         (172262206047662048344608*z^20)/35 - (11506528043966276605132416*
           z^21)/35)*Cf[z]^7*tS0[z]^3 + ((-98695354625*z^8)/324 + 
         (9287524669105*z^9)/18 - 326106201308810*z^10 + 
         91094095923204960*z^11 - 9483459756718256640*z^12)*Cf[z]^5*
        tS0[z]^4 + (-219355920000*z^2 + 97121551564800*z^3)*Cf[z]^3*tS0[z]^5)*
      tS1[z]^7 + (((848742982308871701027043*z^28)/
          7532015737961894236158689280000 - (9461654775325193754592157*z^29)/
          9510120881265017974947840000 + (2997543801226199835314957911*z^30)/
          774898738473445909069824000 - (159728679177652888513499940983*z^31)/
          17937470797996433080320000 + (1946788059614503730035023930139*z^32)/
          142360879349178040320000 - (103142063602714886637472822028621*z^33)/
          6920320523918376960000 + (764794050337455927688863956510443*z^34)/
          64077041888133120000 - (29480174188565840424696961808311*z^35)/
          4120180162560000 + (2422287344619328855275406381715953*z^36)/
          749123665920000 - (25703709142930677779894368240540519*z^37)/
          23410114560000 + (164561566932254772679343480264922859*z^38)/
          596090880000 - (34407144207391379956571552346203173*z^39)/
          689920000 + (95955050274754891778742283817278941*z^40)/15680000 - 
         (2460709924892569669074368280108075837*z^41)/5390000 + 
         (5280777283987041042663990090946531926*z^42)/336875)*Cf[z]^12 + 
       ((-3513782387467877137*z^22)/242660589799735296000 + 
         (3512138652874200181667*z^23)/40443431633289216000 - 
         (777381031029125469382153*z^24)/3370285969440768000 + 
         (1682194615575251464413673*z^25)/4680952735334400 - 
         (26435501634781978278399031*z^26)/72236924928000 + 
         (257176601179935811149424567*z^27)/1003290624000 - 
         (10555492602053039042497302241*z^28)/83607552000 + 
         (610141937359501287312266104021*z^29)/13934592000 - 
         (676829788122264421498640325781*z^30)/64512000 + 
         (741737486909284549693080902613*z^31)/448000 - 
         (620134264056543503781274982541*z^32)/4000 + 
         (11440848225010198268743052564853*z^33)/1750)*Cf[z]^10*tS0[z] + 
       ((23196326858034403*z^16)/58511909191680 - (39590338660587707*z^17)/
          25395793920 + (437124478776561509*z^18)/167961600 - 
         (2604362510241773327*z^19)/1075200 + (476568849695032319479*z^20)/
          345600 - (14184350478385951120427*z^21)/28800 + 
         (60381489490626784124613*z^22)/560 - (2313851402815478611050744*
           z^23)/175 + (121483672828999209026230752*z^24)/175)*Cf[z]^8*
        tS0[z]^2 + ((-13097506655*z^10)/5184 + (3712300178785*z^11)/864 - 
         (190320508818605*z^12)/72 + 651616111285135*z^13 - 
         28786068402404040*z^14 - 7693332582209074560*z^15)*Cf[z]^6*
        tS0[z]^3 + (-15013466500*z^4 + 13273790400000*z^5 - 
         2926587708288000*z^6)*Cf[z]^4*tS0[z]^4)*tS1[z]^8 + 
     (((6823731146165417468407*z^24)/233507432352489280634880000 - 
         (758717489488035094640279*z^25)/4324211710231282974720000 + 
         (9839699458414393648676279*z^26)/20019498658478161920000 - 
         (7854911198415326052272761*z^27)/9268286415962112000 + 
         (30828104461061416359312838549*z^28)/30894288053207040000 - 
         (30083253800210624686942932599*z^29)/35757277839360000 + 
         (343400486658525229232676902339*z^30)/662171811840000 - 
         (2157804864340344013683382632371*z^31)/9196830720000 + 
         (26264076708481367848745849945689*z^32)/340623360000 - 
         (21190633739118290138579367423281*z^33)/1182720000 + 
         (1563944636656181922028823854791*z^34)/560000 - 
         (404815150627754409354180876143229*z^35)/1540000 + 
         (2203529432880585987061470749151837*z^36)/192500)*Cf[z]^11 + 
       ((-95180473484510857*z^18)/105321436545024000 + 
         (42890607191369322131*z^19)/8776786378752000 - 
         (60751898857077439073*z^20)/5224277606400 + 
         (71292649436661079616347*z^21)/4514807808000 - 
         (1687008611369677152991243*z^22)/125411328000 + 
         (26003362802457142252834231*z^23)/3483648000 - 
         (785152895918103868724800867*z^24)/290304000 + 
         (138582545004403760054466403*z^25)/224000 - 
         (1138068160295731214366792421*z^26)/14000 + 
         (4102343805920329004928211377*z^27)/875)*Cf[z]^9*tS0[z] + 
       ((377797797334429*z^12)/12697896960 - (3244413261942533*z^13)/
          29393280 + (5320936598942653*z^14)/34020 - 
         (848232954292009189*z^15)/7560 + (5508561167850835741*z^16)/126 - 
         (310041759557060100888*z^17)/35 + (25674781547872039832064*z^18)/35)*
        Cf[z]^7*tS0[z]^2 + ((-4435366070*z^6)/9 + (1945251860080*z^7)/3 - 
         283603699522880*z^8 + 41234168150369280*z^9)*Cf[z]^5*tS0[z]^3 - 
       46238976000*Cf[z]^3*tS0[z]^4)*tS1[z]^9 + 
     (((-119905265238807439*z^20)/7799804672134348800 + 
         (153218508337292485589*z^21)/1895785857810432000 - 
         (26611672046712876171329*z^22)/140428582060032000 + 
         (50855464808453711024081*z^23)/195039697305600 - 
         (8419832641460127330776729*z^24)/36118462464000 + 
         (70998884524390027005818813*z^25)/501645312000 - 
         (3389514184006276339004237*z^26)/57344000 + 
         (16900509806737707364260071*z^27)/1008000 - 
         (172961310293378559904623003*z^28)/56000 + 
         (582095748155832197134490493*z^29)/1750 - 
         (1968851512500232343535802629*z^30)/125)*Cf[z]^10 + 
       ((14224751939615*z^14)/23219011584 - (99932457984254459*z^15)/
          45148078080 + (1795203492810555089*z^16)/537477120 - 
         (17932201741223049227*z^17)/6531840 + (92119734873647061911*z^18)/
          69120 - (64371262032941378425*z^19)/168 + 
         (8472618537954326979039*z^20)/140 - (141960525714996244396668*z^21)/
          35)*Cf[z]^8*tS0[z] + ((-44602517975*z^8)/5832 + 
         (1062854613805*z^9)/81 - 8409106467510*z^10 + 2385131577926880*
          z^11 - 252574364567738880*z^12)*Cf[z]^6*tS0[z]^2 + 
       (-5403600000*z^2 + 2381612544000*z^3)*Cf[z]^4*tS0[z]^3)*tS1[z]^10 + 
     (((232239968629663*z^16)/105321436545024 - (50733991848499111*z^17)/
          5851190919168 + (494890542466908569*z^18)/33861058560 - 
         (8685015654315656209*z^19)/627056640 + (80595418646490081889*z^20)/
          9953280 - (90714302503004868623*z^21)/30240 + 
         (48328880124811718287*z^22)/70 - (12717193675023415032633*z^23)/
          140 + (185455835481775066985268*z^24)/35)*Cf[z]^9 + 
       ((-8153730875*z^10)/186624 + (1343544135425*z^11)/15552 - 
         (86978229532465*z^12)/1296 + (458447118037615*z^13)/18 - 
         4683022337126340*z^14 + 329140946287391040*z^15)*Cf[z]^7*tS0[z] + 
       ((-1990805000*z^4)/9 + 194626480000*z^5 - 42707029248000*z^6)*Cf[z]^5*
        tS0[z]^2)*tS1[z]^11 + 
     (((1162761564781*z^12)/121899810816 - (59644286191429*z^13)/564350976 + 
         (4303979793438659*z^14)/20901888 - (16843598736868277*z^15)/96768 + 
         (1214284520672750099*z^16)/16128 - (922411101433519077*z^17)/56 + 
         (10189576182750545691*z^18)/7)*Cf[z]^8 + 
       ((-395032625*z^6)/108 + (43165394500*z^7)/9 - (6271900532000*z^8)/3 + 
         302948720640000*z^9)*Cf[z]^6*tS0[z] - 485760000*Cf[z]^4*tS0[z]^2)*
      tS1[z]^12 + (((-1372075375*z^8)/69984 + (32783773775*z^9)/972 - 
         (195125287975*z^10)/9 + 6170892177200*z^11 - 656123003827200*z^12)*
        Cf[z]^7 + (-28200000*z^2 + 12372480000*z^3)*Cf[z]^5*tS0[z])*
      tS1[z]^13 + ((-10356250*z^4)/27 + (1007600000*z^5)/3 - 73350720000*z^6)*
      Cf[z]^6*tS1[z]^14 - 640000*Cf[z]^5*tS1[z]^15 + 
     S2[z]^28*(((1109730072273125*z^4)/8153726976 - (680861387068375*z^5)/
          1179648 + (55629350016077175*z^6)/131072)*Cf[z]^20 + 
       (62731556256875*Cf[z]^19*tS1[z])/786432) + 
     S2[z]^27*(((1973987219253625*z^6)/97844723712 + (9343598993800075*z^7)/
          452984832 - (336835210110780875*z^8)/3145728 + 
         (4198413890189492325*z^9)/65536)*Cf[z]^20 + 
       (8564994191875*Cf[z]^18*tS0[z])/393216 + 
       ((-311249634717125*z^2)/9437184 + (5318215031744325*z^3)/131072)*
        Cf[z]^19*tS1[z]) + S2[z]^26*
      (((-21334489291410025*z^8)/3962711310336 + (2228335438643054365*z^9)/
          146767085568 - (1315751052946413005*z^10)/226492416 - 
         (8218585504949113505*z^11)/786432 + (215420931859696887645*z^12)/
          32768)*Cf[z]^20 + ((-10854995922875*z^2)/1179648 + 
         (357172795885975*z^3)/32768)*Cf[z]^18*tS0[z] + 
       ((11373903141075575*z^4)/3057647616 - (194348563788966125*z^5)/
          14155776 + (625306470988738925*z^6)/65536)*Cf[z]^19*tS1[z] + 
       (256940481013825*Cf[z]^18*tS1[z]^2)/294912) + 
     S2[z]^25*(((314349300293773565*z^10)/1521681143169024 - 
         (43243684339791489565*z^11)/21134460321792 + 
         (24470352868487251205*z^12)/6115295232 - (83309781868107162625*z^13)/
          37748736 - (56272614468654526855*z^14)/131072 + 
         (3939747985513665961155*z^15)/8192)*Cf[z]^20 + 
       ((3565415695315775*z^4)/3057647616 - (27055142774189875*z^5)/7077888 + 
         (82719208215085075*z^6)/32768)*Cf[z]^18*tS0[z] + 
       (((24562537899440465*z^6)/73383542784 + (751826298045109235*z^7)/
            1019215872 - (365407286155376155*z^8)/147456 + 
           (44918452833107014785*z^9)/32768)*Cf[z]^19 + 
         (131388880690175*Cf[z]^17*tS0[z])/294912)*tS1[z] + 
       ((-5063898659869375*z^2)/14155776 + (82814232278117975*z^3)/196608)*
        Cf[z]^18*tS1[z]^2) + S2[z]^24*
      (((102910045784788657225*z^12)/1972098761547055104 - 
         (34877457386083020025*z^13)/507227047723008 - 
         (406701795529679479615*z^14)/1761205026816 + 
         (25691299625864237947901*z^15)/48922361856 - 
         (1366271418643654927067*z^16)/4194304 + 
         (5818541107548823538025*z^17)/262144 + 
         (416775981559345911593253*z^18)/16384)*Cf[z]^20 + 
       ((1857288554283935*z^6)/36691771392 + (144470808722541815*z^7)/
          509607936 - (68607571157326705*z^8)/98304 + 
         (733182674926256475*z^9)/2048)*Cf[z]^18*tS0[z] + 
       (20593505988025*Cf[z]^16*tS0[z]^2)/294912 + 
       (((-7102349785929438125*z^8)/63403380965376 + 
           (6878181872892726305*z^9)/24461180928 - (2228388584413919245*z^10)/
            37748736 - (379332834443728648835*z^11)/1572864 + 
           (4382900867223184505175*z^12)/32768)*Cf[z]^19 + 
         ((-656638407298375*z^2)/3538944 + (10377946796839325*z^3)/49152)*
          Cf[z]^17*tS0[z])*tS1[z] + ((267901190552213425*z^4)/6115295232 - 
         (675239056880905225*z^5)/4718592 + (3081018526444339355*z^6)/32768)*
        Cf[z]^18*tS1[z]^2 + (9787117643778475*Cf[z]^17*tS1[z]^3)/1769472) + 
     S2[z]^23*(((-74229583327503039445*z^14)/11832592569282330624 + 
         (36961491532954063155805*z^15)/1150390944235782144 - 
         (172575492208263542218633*z^16)/3550589334061056 + 
         (28690248367906087816901*z^17)/2739652263936 + 
         (980799441822270241489079*z^18)/28538044416 - 
         (609000517612025321440183*z^19)/22020096 + 
         (4226272869872552386870611*z^20)/917504 + 
         (54736482908850861520399401*z^21)/57344)*Cf[z]^20 + 
       ((-421227204054595175*z^8)/15850845241344 + (2108518439602815245*z^9)/
          36691771392 + (2482384259892625*z^10)/393216 - 
         (27979340154352582625*z^11)/393216 + (283699103180075183655*z^12)/
          8192)*Cf[z]^18*tS0[z] + ((-5755534788875*z^2)/196608 + 
         (264894353230625*z^3)/8192)*Cf[z]^16*tS0[z]^2 + 
       (((2403693034491205265*z^10)/380420285792256 - 
           (232623288404272096445*z^11)/5283615080448 + 
           (1851671887735874219921*z^12)/24461180928 - 
           (508579135844072786029*z^13)/14155776 - 
           (1480515567948337934973*z^14)/131072 + (9518343952014423558099*
             z^15)/1024)*Cf[z]^19 + ((18937921876145575*z^4)/764411904 - 
           (260535186755630575*z^5)/3538944 + (378721569626123345*z^6)/8192)*
          Cf[z]^17*tS0[z])*tS1[z] + 
       (((73538172037034915*z^6)/36691771392 + (5091729217946992135*z^7)/
            509607936 - (117969774720178241875*z^8)/4718592 + 
           (419670846445209394245*z^9)/32768)*Cf[z]^18 + 
         (581187807162025*Cf[z]^16*tS0[z])/147456)*tS1[z]^2 + 
       ((-23842732448266375*z^2)/10616832 + (373178671650628375*z^3)/147456)*
        Cf[z]^17*tS1[z]^3) + S2[z]^22*
      (((-1047151981585080256385*z^16)/214690559577058606841856 - 
         (792885395635993411051385*z^17)/496968887909857886208 + 
         (14924824049178372379769849*z^18)/2300781888471564288 - 
         (101939038913015895631823219*z^19)/10651768002183168 + 
         (134677819194861386525241301*z^20)/24656870375424 + 
         (7247568737893792426009403*z^21)/28538044416 - 
         (46273437933944634839775575*z^22)/33030144 + 
         (317722068810299991943474563*z^23)/917504 + 
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           (44098481107554888512155248331081616917531*z^42)/
            1799283336218778009600000 + 
           (215174583434181537761613607716915647761249*z^43)/
            16660030890914611200000 - 
           (39623302780433424845262525691804551015733*z^44)/
            7345692632678400000 + 
           (1903429089510056312652340485978444245053657*z^45)/
            1071246842265600000 - 
           (5658324324985481166626965498396131957486437*z^46)/
            12398690304000000 + (102802790935243168370274183618606200713963*
             z^47)/1148026880000 - 
           (4654295429986261271034345930834186826556247*z^48)/358758400000 + 
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           (1053398827080976429368542499684907895079948441*z^51)/437937500)*
          Cf[z]^14 + ((17854232914020472677674587*z^28)/
            1255335956326982372693114880000 - (1441592264849723587725409301*
             z^29)/13076416211739399715553280000 + 
           (68825829555642672244913463853*z^30)/176113349653055888424960000 - 
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           (1839287147598661887172882851333119*z^32)/
            1494789233166369423360000 - (448032249810904346513119892608613*
             z^33)/346016026195918848000 + 
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           (423152188494092986421648089437534802809*z^41)/10780000 + 
           (185567439574287101554376678230724013213*z^42)/134750)*Cf[z]^12*
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           (6521824722328203285702796679233*z^30)/16128000 + 
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           (22539031954077529831928385663927*z^32)/3500 + 
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           (1863393978433245037*z^17)/58047528960 + 
           (2125026192941450589437*z^18)/37623398400 - 
           (361471335405498916579*z^19)/6451200 + (142396236427898927063081*
             z^20)/4147200 - (447735674773689397007863*z^21)/33600 + 
           (448227446123076149795949*z^22)/140 - (76253300810394333786057528*
             z^23)/175 + (4503564849807451199432317464*z^24)/175)*Cf[z]^8*
          tS0[z]^3 + ((-8906932283975*z^10)/186624 + (2308002596460155*z^11)/
            20736 - (177673104109712383*z^12)/1728 + 
           (376444913796832851*z^13)/8 - 10672711593108540741*z^14 + 
           959991995917737413712*z^15)*Cf[z]^6*tS0[z]^4 + 
         ((142019365900*z^4)/3 - 38091048714000*z^5 + 7546346454706560*z^6)*
          Cf[z]^4*tS0[z]^5)*tS1[z]^6 + 
       (((141451231969159084007267*z^30)/42367588526035655078392627200000 - 
           (176401914887811416831669693*z^31)/
            3012806295184757694463475712000 + (32995668135122669492902155607*
             z^32)/104611329693915197724426240000 - 
           (1748831136341187873571292544287*z^33)/
            1937246846183614772674560000 + (59066545136795279209943203587461*
             z^34)/35874941595992866160640000 - 
           (2599161813073245719641973645991521*z^35)/
            1245657694305307852800000 + (269318524066083549518205918620231*
             z^36)/139804455028654080000 - 
           (42625715773973961117523800399135871*z^37)/32038520944066560000 + 
           (464937713358714345115702893443687321*z^38)/667469186334720000 - 
           (20568472104130140609876928300886205769*z^39)/74163242926080000 + 
           (286564297672089040874994707579419434913*z^40)/3433483468800000 - 
           (1979027952485313743964946317977452099*z^41)/105971712000 + 
           (1512846258901890997151130291686761209*z^42)/501760000 - 
           (16427503803536231880611859462818100153*z^43)/49280000 + 
           (983458655923531594156045326327383702667*z^44)/43120000 - 
           (9795362618857080510341447442065234437581*z^45)/13475000)*
          Cf[z]^13 + ((-464717029124120786491*z^24)/
            229314257360749854720000 + (510429520697693145525343*z^25)/
            38219042893458309120000 - (166699591119786879598765157*z^26)/
            4246560321495367680000 + (403030334954986140625353527*z^27)/
            5898000446521344000 - (64469469762250607740678053779*z^28)/
            819166728683520000 + (320205875510316900718181617283*z^29)/
            5056584744960000 - (46221851925550415594982723331993*z^30)/
            1264146186240000 + (67094883964462492187156708755883*z^31)/
            4389396480000 - (8967830613809270974320361311736319*z^32)/
            1950842880000 + (1095841377503245295719636649736341*z^33)/
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           (5639517245730264375441906442095903*z^35)/490000 - 
           (53318716404973930025900717407781553*z^36)/122500)*Cf[z]^11*
          tS0[z] + ((14737193926486709063*z^18)/210642873090048000 - 
           (1834137660224246519843*z^19)/5851190919168000 + 
           (19861848983893420827397*z^20)/32506616217600 - 
           (146582385077671904837549*z^21)/214990848000 + 
           (20096720107376345595606037*z^22)/41803776000 - 
           (36877239759913020203025517*z^23)/165888000 + 
           (6524836597942075051851334663*z^24)/96768000 - 
           (2896154839407337485902035941*z^25)/224000 + 
           (19881440503009385940299715507*z^26)/14000 - 
           (59373952019720967946954530879*z^27)/875)*Cf[z]^9*tS0[z]^2 + 
         ((-100083443657599*z^12)/156764160 + (21649140803361353*z^13)/
            13063680 - (15753196216168209*z^14)/8960 + 
           (9808852303160333167*z^15)/10080 - (33041712030353260527*z^16)/
            112 + (1614093878098840963158*z^17)/35 - 
           (100394879040711664437744*z^18)/35)*Cf[z]^7*tS0[z]^3 + 
         ((6048877225*z^6)/36 + 79612808675*z^7 - 170655415755900*z^8 + 
           45101371738046400*z^9)*Cf[z]^5*tS0[z]^4 + 459876614400*Cf[z]^3*
          tS0[z]^5)*tS1[z]^7 + 
       (((106008674364105985059439*z^26)/10461132969391519772442624000 - 
           (272141905274142223985989*z^27)/4151243241822031655731200 + 
           (5296827135099705745256130191*z^28)/26906206196994649620480000 - 
           (180991609848988249111787310119*z^29)/498263077722123141120000 + 
           (907842819257426853292020323989*z^30)/1977234435405250560000 - 
           (143339352668864007589331731717*z^31)/341744223403376640 + 
           (30702990927337413062359248500117*z^32)/107873807892480000 - 
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           (2025269841707798406175812046970879*z^35)/127733760000 + 
           (5412007826764320580749562070126821*z^36)/1655808000 - 
           (11401012148305376153697120953477397*z^37)/24640000 + 
           (54218637182001112283567649070693287*z^38)/1347500 - 
           (531089130833026632948994113899241261*z^39)/336875)*Cf[z]^12 + 
         ((-265334781574063081*z^20)/1011085790832230400 + 
           (149105320489620081551*z^21)/105321436545024000 - 
           (2029211232335907892669*z^22)/585119091916800 + 
           (3275740696118897842159283*z^23)/650132324352000 - 
           (383898883377114962367179*z^24)/80263249920 + 
           (516742165323995818789498783*z^25)/167215104000 - 
           (19143645558575297210160773881*z^26)/13934592000 + 
           (40107167635631236620778851799*z^27)/96768000 - 
           (72663746789129468145450452607*z^28)/896000 + 
           (259465199124955559388615658503*z^29)/28000 - 
           (1630066340467324576934045392491*z^30)/3500)*Cf[z]^10*tS0[z] + 
         ((21588502811483*z^14)/5804752896 - (183870803470769753*z^15)/
            11287019520 + (1494566261673272653*z^16)/52254720 - 
           (968346607553559235*z^17)/36288 + (233272661928961563611*z^18)/
            16128 - (2569250029267317753129*z^19)/560 + 
           (27730313351992670273586*z^20)/35 - (2017340309763300721406112*
             z^21)/35)*Cf[z]^8*tS0[z]^2 + ((-45764095325*z^8)/864 + 
           (3794036303185*z^9)/36 - 77404208128770*z^10 + 24925315380179760*
            z^11 - 2974010207890224960*z^12)*Cf[z]^6*tS0[z]^3 + 
         (51048990000*z^2 - 21276393120000*z^3)*Cf[z]^4*tS0[z]^4)*tS1[z]^8 + 
       (((-31029016578036539827*z^22)/7862203109511423590400 + 
           (4869822490894903107703*z^23)/218394530819761766400 - 
           (123306019066856057527511*z^24)/2166612408926208000 + 
           (3240941818937779006212797*z^25)/37447621882675200 - 
           (150952723812647160462552191*z^26)/1733686198272000 + 
           (8785612005753521161243639993*z^27)/144473849856000 - 
           (40219785597902173530097382081*z^28)/1337720832000 + 
           (293122912919606394983422781881*z^29)/27869184000 - 
           (36588554565981298965814526263*z^30)/14336000 + 
           (183958674968858168874562419879*z^31)/448000 - 
           (2240395798915038770806689667377*z^32)/56000 + 
           (3290793319977713151466618691001*z^33)/1750)*Cf[z]^11 + 
         ((2701202071188401*z^16)/20061226008576 - (8034530699614405807*z^17)/
            14627977297920 + (291058134827534886629*z^18)/300987187200 - 
           (36177539663004144024647*z^19)/37623398400 + 
           (1236579468526856943438241*z^20)/2090188800 - 
           (1117531903176871252056923*z^21)/4838400 + 
           (125388653309224296162203*z^22)/2240 - (5403817984500755806668543*
             z^23)/700 + (81566164201396305470546916*z^24)/175)*Cf[z]^9*
          tS0[z] + ((-5014677556625*z^10)/3359232 + (324953611187555*z^11)/
            93312 - (8349905273013061*z^12)/2592 + (53196983583205991*z^13)/
            36 - 336227169566197458*z^14 + 30365692665711952608*z^15)*Cf[z]^7*
          tS0[z]^2 + ((5067835000*z^4)/3 - 1342441564000*z^5 + 
           262357099372800*z^6)*Cf[z]^5*tS0[z]^3)*tS1[z]^9 + 
       (((4438240005264430651*z^18)/7583143431241728000 - 
           (1094682749148689126747*z^19)/421285746180096000 + 
           (11845914815114505936961*z^20)/2340476367667200 - 
           (615708770943597903694877*z^21)/108355387392000 + 
           (580675574059353678099653*z^22)/143327232000 - 
           (52898505100280380267902127*z^23)/27869184000 + 
           (16640898533125195433877959*z^24)/28672000 - 
           (28071578048376687309962433*z^25)/256000 + 
           (1231468751503023734981031057*z^26)/112000 - 
           (2458649034150017997531782349*z^27)/7000)*Cf[z]^10 + 
         ((-92820107646607*z^12)/7524679680 + (3844916746154657*z^13)/
            117573120 - (3728995751053269941*z^14)/104509440 + 
           (29730417248450993033*z^15)/1451520 - (104992875932851504789*z^16)/
            16128 + (302964633090019207959*z^17)/280 - 
           (2551897068202301651649*z^18)/35)*Cf[z]^8*tS0[z] + 
         ((2137191425*z^6)/324 - (19600094225*z^7)/9 - 1949468362300*z^8 + 
           712342807272000*z^9)*Cf[z]^6*tS0[z]^2 + 10422432000*Cf[z]^4*
          tS0[z]^3)*tS1[z]^10 + (((-774137752439*z^14)/91424858112 + 
           (2120478255704399*z^15)/162533081088 + (20113041859765*z^16)/
            23514624 - (46430588317029965*z^17)/3483648 + 
           (19757672899649294579*z^18)/1935360 - (26837605105274769133*z^19)/
            8960 + (56574945968639562657*z^20)/280 + 
           (209683779049887212583*z^21)/5)*Cf[z]^9 + 
         ((-14417927525*z^8)/31104 + (302653020595*z^9)/324 - 
           (6232878279790*z^10)/9 + 224580246276080*z^11 - 
           26938227315725280*z^12)*Cf[z]^7*tS0[z] + 
         (680960000*z^2 - 280959264000*z^3)*Cf[z]^5*tS0[z]^2)*tS1[z]^11 + 
       (((-380798478275*z^10)/80621568 + (49799274181705*z^11)/4478976 - 
           (1298219204472371*z^12)/124416 + (313509245205253*z^13)/64 - 
           (9261803925984075*z^14)/8 + 111485963538516438*z^15)*Cf[z]^8 + 
         ((199735625*z^4)/18 - (26025685000*z^5)/3 + 1663411752000*z^6)*
          Cf[z]^6*tS0[z])*tS1[z]^12 + 
       (((59123575*z^6)/3888 - (127854475*z^7)/27 - (13996215050*z^8)/3 + 
           1663144581600*z^9)*Cf[z]^7 + 49680000*Cf[z]^5*tS0[z])*tS1[z]^13 + 
       ((3175000*z^2)/3 - 431760000*z^3)*Cf[z]^6*tS1[z]^14)
 
Ff[12] = 167042600195892653957850566060722992092531782684103398271/
      2603295139375589575966970322818683012782724121787566653440000000 + 
     (1533242029295547113322256381077003372285693695075598398747*z)/
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     (14752771190072986374089551370082275169548417445539121549029*z^3)/
      613515823062833532875128850552186943856906359275520000000 - 
     (282480179104434350367769875108041781428602743375810140971921*z^4)/
      4260526549047455089410617017723520443450738606080000000 + 
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      30345630691221190095517215225951000309478195200000 - 
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      89527323662371884359505219212364516163584000000 + 
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      755115307239036598301630018711715840000 - 
     (16126953669792007714269389485584445089698690549364791077*z^10)/
      3891544564208599249132292407296000 + 
     (133389122159787058659628243709135411189451664148429299*z^11)/
      353893768239869310023604633600 + 
     ((-453239249151505208601080964286024537957011361377119368427*z^66)/39009\
14050084479170286730851861204273843952828232254675833901078368075597867909120\
000000 + (207978521081298642857739930264681725753685509285570945116927*z^67)/
        189627766323551070777827194187697429978525484705734602297481302420670\
341563023360000000 - 
       (21247842521944635195173677834151144698236412709694093646067*z^68)/430\
34623802548808727720405362131769693746705860960104007235226584211678822400000\
00 + (60193916394723065008848770158801581939346415390880604116911*z^69)/42693\
07916919524675369087833544818421998681137000010318178097875417825280000000 - 
       (22466412885152568609339339576664988730887091935588863565652641*z^70)/
        784024139063925056124878784246656469471980023615742635591348220948643\
840000000 + (355568139470951948149378607864376415345496802934540533596617*
         z^71)/80660919656782413181571891383400871344853911894623727941496730\
55027200000 - (27984039736623886529398975871112326459508769481501077120994849*
         z^72)/52513619568217716915085866786068275615139265556395656211911933\
9520000000 + (12611105480802640627043727618702690572187434995710000217478621*
         z^73)/24311860911211905979206419808364942414416326646479470468477747\
2000000 - (6202113898806026614788018360695299194026936892137001009824911*
         z^74)/
        150073215501308061600039628446697175397631645965922657212825600000 + 
       (141954385710803640889463557303143820859741034795721943455403561*z^75)/
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       (123010861327840363700962025167156983980935167038966742303344593*z^76)/
        8224235382323016493057727253365752544851271283030097920000000 + 
       (479069075161198453006577742583885076639135638078004670564716761*z^77)/
        69804466979593504184903549218382158945496901322014720000000 - 
       (2552290773027811800421528347348694076888579718541248420445075703*
         z^78)/969506485827687558123660405810863318687456962805760000000 + 
       (629846429771135934619633569335631650962912695463977538281264037*z^79)/
        748075992150993486206528090903443918740321730560000000 - 
       (3578661593122678554755633574513591589002489732382788705624899*z^80)/
        16033864715170470812039782469638287010037760000000 + 
       (4424196513365116973887152529439373167337257988532639611373219*z^81)/
        91101504063468584159316945850217539829760000000 - 
       (31713286109409199947155334774002041069418279893366952115845173*z^82)/
        3711542758141312687972171867971825696768000000 + 
       (3404329462548132582534536038885560926235733645795278373135519*z^83)/
        2863844720788049913558774589484433408000000 - 
       (38062554823726565757642061162099934465062597150281370043207*z^84)/
        301330463045880672722935036772352000000 + 
       (668403957515220290036675039694577771237330073446837725341989*z^85)/
        69054897781347654165672612593664000000 - 
       (255604140138673828461706005181180553298073408389678412452389*z^86)/
        532831001399287454982041763840000000 + 
       (43388402356643431517535557805584426845387071070157131304807*z^87)/
        3700215287495051770708623360000000)*Cf[z]^22 + 
     ((-330246128125*z^2)/16384 + (28983110952495375*z^3)/1048576)*Cf[z]^22*
      S2[z]^32 + (2239646759308375*Cf[z]^22*S2[z]^33)/46137344 + 
     (6960546849965320010275053349966644270078396011406218399/
        780659842931442581176963954128077292343304266318872576000000 - 
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           26046482928959097216*z^14 - 2380237720480792175616*z^15)*Cf[z]^7*
          tS0[z]^3 + ((-1009160395000*z^4)/9 + 91331214392000*z^5 - 
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           (83595216667673139656521799*z^22)/83607552000 + 
           (157362163839047231189787389*z^23)/331776000 - 
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           (103029371191755248919979008879*z^26)/28000 + 
           (370627237475458046002426403763*z^27)/1750)*Cf[z]^10*tS0[z] + 
         ((163886703790911527*z^12)/101583175680 - (342478353423214343*z^13)/
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           (698842011746704469113*z^15)/241920 + (2560611863328838280957*
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         563263488000*Cf[z]^4*tS0[z]^4)*tS1[z]^10 + 
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           (29609428670121577139*z^17)/4354560 + (129581630156779090429*z^18)/
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           (16939922963325493388211*z^20)/70 + (156291816152579611013676*
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           (2019834186455*z^9)/27 + 57891058925730*z^10 - 19418337891444240*
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         (-50941760000*z^2 + 21257625600000*z^3)*Cf[z]^5*tS0[z]^3)*
        tS1[z]^11 + (((-42506977460112793*z^16)/1263857238540288 + 
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         ((-37127114375*z^4)/27 + 1107061010000*z^5 - 220193619696000*z^6)*
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          tS0[z]^2)*tS1[z]^13 + 
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         305523360000*z^6)*Cf[z]^7*tS1[z]^15 - 5600000*Cf[z]^6*tS1[z]^16)
 
Ff[13] = 678942529363134236010739182713526837271633694718403104681716861/
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       ((564850843471115*z^14)/27088846848 - (6235663977334157*z^15)/
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         (655201347140664121627*z^17)/5225472 + (5069152459134405698363*z^18)/
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         (95698586972954808428112*z^20)/35 - (5521192409442911710340952*z^21)/
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         (76771834534825*z^9)/81 - (1845614888022700*z^10)/3 + 
         177002562615451200*z^11 - 19045208081421619200*z^12)*Cf[z]^7*
        tS0[z]^2 + (-200909600000*z^2 + 88443371520000*z^3)*Cf[z]^5*tS0[z]^3)*
      tS1[z]^13 + (((1114306454741405*z^16)/7522959753216 - 
         (498046455242955961*z^17)/835884417024 + (11604759838190304881*z^18)/
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         (8696758292502864525629*z^20)/13934592 - 
         (20902055792255713601599*z^21)/80640 + 
         (16584871087722110658327*z^22)/224 - (491261908139120271347892*z^23)/
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       ((-1044325392875*z^10)/248832 + (1107160082769955*z^11)/124416 - 
         (78175392952943123*z^12)/10368 + (460721372270921603*z^13)/144 - 
         (1366976885625180045*z^14)/2 + 59460918958185608808*z^15)*Cf[z]^8*
        tS0[z] + ((-74844125000*z^4)/9 + 7310224000000*z^5 - 
         1603350478080000*z^6)*Cf[z]^6*tS0[z]^2)*tS1[z]^14 + 
     (((-118914112316081*z^12)/15237476352 + (8701746128336557*z^13)/
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         (47834894780280443*z^15)/72576 + (13786336010506677179*z^16)/4032 - 
         (10924053868399125963*z^17)/7 + (1715113877810402456676*z^18)/7)*
        Cf[z]^9 + ((-426751375*z^6)/3 + (1680565082000*z^7)/9 - 
         (244591951552000*z^8)/3 + 11840879637504000*z^9)*Cf[z]^7*tS0[z] - 
       11788800000*Cf[z]^5*tS0[z]^2)*tS1[z]^15 + 
     (((-215954356325*z^8)/279936 + (312623948395*z^9)/243 - 
         (2336915400710*z^10)/3 + 196222711624840*z^11 - 
         15635759454842400*z^12)*Cf[z]^8 + 
       (-684000000*z^2 + 299980800000*z^3)*Cf[z]^6*tS0[z])*tS1[z]^16 + 
     ((-254000000*z^4)/27 + (24712000000*z^5)/3 - 1799712000000*z^6)*Cf[z]^7*
      tS1[z]^17 - (32000000*Cf[z]^6*tS1[z]^18)/3 + 
     S2[z]^34*(((349519954476492875*z^4)/14495514624 - 
         (672266374376176125*z^5)/4194304 + (287628874104205622925*z^6)/
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     S2[z]^33*(((527190272311863125*z^6)/57982058496 - 
         (8772615401182435375*z^7)/7247757312 - (551678399522736517425*z^8)/
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       (60918743101011125*Cf[z]^22*tS0[z])/6291456 + 
       ((-182059993882424375*z^2)/16777216 + (31982489929044808875*z^3)/
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     S2[z]^32*(((-36015696039498322625*z^8)/21134460321792 + 
         (4929954891383910000125*z^9)/782757789696 - 
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         (14478555929314299988275*z^11)/4194304 + 
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       ((-12754849720425625*z^2)/3145728 + (2898056062874990625*z^3)/524288)*
        Cf[z]^22*tS0[z] + ((7279473100709702375*z^4)/8153726976 - 
         (380341834284798044125*z^5)/75497472 + (2158817682834939150675*z^6)/
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         (3075971936117868745625*z^11)/5283615080448 + 
         (163519059108013080259225*z^12)/97844723712 - 
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       ((2028538708268580875*z^4)/5435817984 - (7822632165232139875*z^5)/
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       (((71766074844506799875*z^6)/293534171136 + (2855495441916996625*z^7)/
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           (44861211329777922136125*z^9)/65536)*Cf[z]^23 + 
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       ((-2267957935182623125*z^2)/14155776 + (42671992568752922125*z^3)/
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     S2[z]^30*(((1448840640891977767603375*z^12)/47330370277129322496 - 
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       ((2152051712663981455375*z^4)/146767085568 - 
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     S2[z]^29*(((-232391142597482954496125*z^14)/126214320739011526656 + 
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       ((-75414653125461875*z^2)/3538944 + (5337661447288513625*z^3)/196608)*
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         ((847379837516409685625*z^4)/73383542784 - 
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       ((-160895563768141296875*z^2)/113246208 + (8750106325146919170625*z^3)/
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     S2[z]^28*(((-388701786888269565605141575*z^16)/
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           (90271900967299742256979808511*z^18)/229376)*Cf[z]^23 + 
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           (11476182793522601965475*z^7)/6115295232 - 
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       ((7815634083869466738125*z^4)/55037657088 - 
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       (447385184291544089375*Cf[z]^20*tS1[z]^4)/21233664) + 
     S2[z]^27*(((1673986517960077863606235*z^18)/53672639894264651710464 - 
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         (701483690528946052655008591874871*z^27)/1146880)*Cf[z]^24 + 
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       ((58598933640932363125*z^6)/220150628352 + (345558462820223691025*z^7)/
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         (67400203673041973661025*z^9)/65536)*Cf[z]^20*tS0[z]^2 + 
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       (((-9130831519112995226393905*z^14)/165656295969952628736 + 
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         ((-10971119263022187125*z^2)/21233664 + (186855556852609464325*z^3)/
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       (((9496327890679747471315*z^10)/760840571584512 - 
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       ((-179113437939384395125*z^2)/21233664 + (9379966400226905726425*z^3)/
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     S2[z]^26*(((1555103376448575468202103767*z^20)/
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         (588961838575071910305009375459687*z^30)/81920)*Cf[z]^24 + 
       ((-1689769969863234014064385*z^14)/82828147984976314368 + 
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         (1342200382671323209288639689009*z^21)/229376)*Cf[z]^22*tS0[z] + 
       ((-2506946054748119111075*z^8)/31701690482688 + 
         (1949480055946972380265*z^9)/9172942848 - 
         (3042219992196790925945*z^10)/56623104 - 
         (145775672916717145991705*z^11)/786432 + 
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       ((-161418481003830125*z^2)/2654208 + (5308890063068042575*z^3)/73728)*
        Cf[z]^18*tS0[z]^3 + (((-5136114587278067610715986427*z^16)/
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           (668829593012360734686354868900233*z^24)/1146880)*Cf[z]^23 + 
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         ((92401597739904916225*z^4)/1528823808 - (383710361529676129375*z^5)/
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           (1457111669041388866809984407*z^13)/95865912019648512 - 
           (20447906166358563174014423017*z^14)/887647333515264 + 
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           (2006206850201264454733319838561*z^18)/458752)*Cf[z]^22 + 
         ((592992950184762233735*z^6)/36691771392 + 
           (63399215110071370029535*z^7)/2038431744 - 
           (722713758460503307838075*z^8)/6291456 + 
           (8598920610465606907168735*z^9)/131072)*Cf[z]^20*tS0[z] + 
         (3978357664224306325*Cf[z]^18*tS0[z]^2)/294912)*tS1[z]^2 + 
       (((-4335560506750805441770225*z^8)/855945643032576 + 
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           (8195072980736204440999956*z^18)/7)*Cf[z]^8*tS0[z]^3 + 
         ((1145872913425*z^6)/9 - 141179183649400*z^7 + 49965324531175200*
            z^8 - 5515119894172147200*z^9)*Cf[z]^6*tS0[z]^4 + 
         27281104128000*Cf[z]^4*tS0[z]^5)*tS1[z]^10 + 
       (((-52535614772740949594243*z^26)/33209945934576253245849600 + 
           (3449954111335168971075218933*z^27)/322874474363935795445760000 - 
           (2684327950671910605262310020663*z^28)/
            80718618590983948861440000 + (23726692298014037265970360845473*
             z^29)/373697308291592355840000 - 
           (865937484942308446600553766598939*z^30)/10380480785877565440000 + 
           (3843236896856766250031597596253263*z^31)/48057781416099840000 - 
           (230586173133148953375138887641681213*z^32)/4004815118008320000 + 
           (72645720190970820729419735435571923*z^33)/2317601341440000 - 
           (3742253423196328294510493989826968249*z^34)/294298583040000 + 
           (105608532494093583373766319054699542311*z^35)/28612362240000 - 
           (5848077909539267096353348969213513169*z^36)/8279040000 + 
           (51714538646523829524052212029644217313*z^37)/689920000 - 
           (23925483424126451566643581345907924973*z^38)/8624000 + 
           (434944249437409641832074286227082967871*z^39)/5390000)*Cf[z]^13 + 
         ((63629466725981972441*z^20)/606651474499338240 - 
           (25383468605504250396181*z^21)/50554289541611520 + 
           (7424722883035593946197353*z^22)/7021429103001600 - 
           (250829603848194327054451867*z^23)/195039697305600 + 
           (1794817527578661826759493003*z^24)/1805923123200 - 
           (8433303867382441136218742003*z^25)/16721510400 + 
           (33316001275040391150806159081*z^26)/199065600 - 
           (683402464823834322113252493787*z^27)/19353600 + 
           (214656676890302799619588631739*z^28)/44800 - 
           (1596536283969108477884975759811*z^29)/2800 + 
           (12231433378978758166114918857663*z^30)/175)*Cf[z]^11*tS0[z] + 
         ((-66836945310215075*z^14)/60949905408 + (43650694379305574227*z^15)/
            13544423424 - (41764946680771123699*z^16)/10450944 + 
           (2367337205128290180503*z^17)/870912 - (178430993719082592758701*
             z^18)/161280 + (1860725006956305070066043*z^19)/6720 - 
           (2936211314296111281933309*z^20)/70 + (114595037356697023292044812*
             z^21)/35)*Cf[z]^9*tS0[z]^2 + ((-37105518200375*z^8)/23328 + 
           (34830333921250*z^9)/9 - (9772331019668500*z^10)/3 + 
           1158942549155244000*z^11 - 149343813147272112000*z^12)*Cf[z]^7*
          tS0[z]^3 + (3176402400000*z^2 - 1336833642240000*z^3)*Cf[z]^5*
          tS0[z]^4)*tS1[z]^11 + 
       (((-128317026413146606937*z^22)/873578123279047065600 + 
           (148329618873521907849821*z^23)/145596353879841177600 - 
           (26532965278042653308517251*z^24)/8666449635704832000 + 
           (737118875630308723315037011*z^25)/140428582060032000 - 
           (2937998936237986529650559953*z^26)/520105859481600 + 
           (282447989894606233808463360757*z^27)/72236924928000 - 
           (1437465144092449286668187628727*z^28)/859963392000 + 
           (1432285585726485485583272443979*z^29)/3981312000 + 
           (481479774783064232558938475831*z^30)/43008000 - 
           (21133943694833869600658419162713*z^31)/896000 + 
           (193311910339147135863482788099431*z^32)/56000 + 
           (70865937219467746506168343268109*z^33)/500)*Cf[z]^12 + 
         ((17222564267415197*z^16)/7801587892224 - 
           (17713512498670024669*z^17)/1462797729792 + 
           (33631358295985954679*z^18)/1289945088 - 
           (23076976471206698483041*z^19)/752467968 + 
           (294621988873931361533333*z^20)/13063680 - 
           (1195670228618268989396557*z^21)/107520 + 
           (16867372534369648959808809*z^22)/4480 - 
           (11585863828629083535823773*z^23)/14 + 
           (3188466848151814782286910682*z^24)/35)*Cf[z]^10*tS0[z] + 
         ((-661435337390725*z^10)/6718464 + (89012918513435375*z^11)/373248 - 
           (792259320109970215*z^12)/3456 + (15793810497535909745*z^13)/144 - 
           (52491962536735076775*z^14)/2 + 2533896163955390078520*z^15)*
          Cf[z]^8*tS0[z]^2 + ((3312199186250*z^4)/27 - 100628007180000*z^5 + 
           20465218044576000*z^6)*Cf[z]^6*tS0[z]^3)*tS1[z]^12 + 
       (((4468571839206098047*z^18)/84257149236019200 - 
           (3796819893439733945527*z^19)/14042858206003200 + 
           (28826861226466228712867*z^20)/46809527353344 - 
           (4454664191815869372822373*z^21)/5417769369600 + 
           (8828229066484382749332221*z^22)/12541132800 - 
           (1222084290211657692605401*z^23)/3110400 + 
           (70605423818125567339295009*z^24)/518400 - 
           (543129170911227562762971331*z^25)/22400 + 
           (101923191466080973231156443*z^26)/350 + 
           (79476205377439658299527826542*z^27)/175)*Cf[z]^11 + 
         ((-3708328300698869*z^12)/3386105856 + (134254380143129663*z^13)/
            47029248 - (15343597910963973037*z^14)/5225472 + 
           (104211020394027740653*z^15)/72576 - (1121574238974996211175*z^16)/
            4032 - (278323338231178553973*z^17)/14 + 
           (81994269635046101955348*z^18)/7)*Cf[z]^9*tS0[z] + 
         ((485407975925*z^6)/324 - (14853250913600*z^7)/9 + 
           579726732478200*z^8 - 63384119665891200*z^9)*Cf[z]^7*tS0[z]^2 + 
         378626880000*Cf[z]^5*tS0[z]^3)*tS1[z]^13 + 
       (((-192225059147725*z^14)/108355387392 + (96593009005783685*z^15)/
            18059231232 - (13892508080422443833*z^16)/1504935936 + 
           (12500113610760895975*z^17)/995328 - (5967044351254661272757*z^18)/
            483840 + (4254822993647585172441*z^19)/560 - 
           (364440287086388244990387*z^20)/140 + (13420822269013276956694668*
             z^21)/35)*Cf[z]^10 + ((-57257286325*z^8)/31104 + 
           (2851205577005*z^9)/648 - (13965622268470*z^10)/9 - 
           1062785440725640*z^11 + 518655286127671200*z^12)*Cf[z]^8*tS0[z] + 
         (26072300000*z^2 - 10891500480000*z^3)*Cf[z]^6*tS0[z]^2)*tS1[z]^14 + 
       (((-1693035733795*z^10)/4478976 + (897294573641095*z^11)/746496 - 
           (100067740921469663*z^12)/62208 + (327070968203241341*z^13)/288 - 
           (1693464119414312595*z^14)/4 + 66798698224182840108*z^15)*
          Cf[z]^9 + ((1490443750*z^4)/3 - (1209990200000*z^5)/3 + 
           81104904000000*z^6)*Cf[z]^7*tS0[z])*tS1[z]^15 + 
       (((-343583035*z^6)/108 + (310391908415*z^7)/36 - (20931394254685*z^8)/
            3 + 1835435509560720*z^9)*Cf[z]^8 + 1195200000*Cf[z]^6*tS0[z])*
        tS1[z]^16 + (27000000*z^2 - 11188800000*z^3)*Cf[z]^7*tS1[z]^17)
 
Ff[14] = 
    18554748375024671285811662132375218761023959557879054201327379038775861/1\
66528564693753612995274546458640412216948881969164085196404529351884800000000 \
+ (15715620555625814619403686878024857796962250800774458054872139843719*z)/
      15929040853014387530157115325474480813528168232434581152089505792000000\
00 + (761907017124767760051482172995077196848098745945673379265414024257757*
       z^2)/89232127000682448664306062702889452705412423894656681453834731520\
0000000 + 
     (744829668376525628074945700852405352369551706963097493376316726696553*
       z^3)/
      1032779247693083896577616466468627924831162313595563442752716800000000 \
- (246237885835176814860078311778979336755458905886480835810154462052627*z^4)/
      97579293999724480024340180127421383676413672864282260275200000000 + 
     (612689051167145019410564330770636553738340527397300779610812171556041*
       z^5)/100618379755608154907253131865396628790914772103321354240000000 - 
     (
       258478340494223735873124796755609772704593963491338815632112555952072011\
*z^6)/25620420771103928332865380799059326775464409563345715200000000 + 
     (70299224500096667767094474083579211442120120325748587401443133338221549*
       z^7)/5930652956274057484459578888671140457283428139663360000000 - 
     (11005201110437718206846110228428221235172273264134257933439815329032439*
       z^8)/1098269065976677311936959053457618603200634840678400000 + 
     (17545482490812427859602218707303367662493599332615563257106714099202313*
       z^9)/2888965346108684006568179328329173514311434240000000 - 
     (1167935342691307681677477224043962795003848841958107136311824229626291*
       z^10)/452686877595377835787036646889186733011763200000 + 
     (101541137772319680914465220117548677399717592174315717018836118008717*
       z^11)/139005324280515680868090429175156545945600000 - 
     (455756799231013439113180549369559358317380065680619241561414649143*
       z^12)/3677389531230573567938900242729009152000 + 
     (1159990867075087152296503095178973121310766413793570312973194231*z^13)/
      121606796667677697352476859878604800 + 
     ((-142727755861260521454570396273181826515797280464092441423089413581229\
7*z^78)/146641800322626293612775086901249656318106057206929963774755970626753\
728442512911792731236755046400000000 + 
       (119654197392159466269082913298166042316049449299864079221030011249503\
857*z^79)/1103207988538276514447960723215419868133899735931764773768418760502\
198188514275378070316017254400000000 - 
       (581588950609007262604307099352561389037784080225555463656806018623279\
99*z^80)/10014596845844921155119469164991102651905407915139476886060446264544\
2827570286435917784678400000000 + 
       (470276522602216569631188495583175507265143175940558745164794946974409\
3397*z^81)/236455758860227305051431910840067701503322131329682093143093870135\
0733428742874181392138240000000 - 
       (334715322225151446813264415567887023223632408967704866159668839414494\
18657*z^82)/68418911707241697063493029756964033999803857444931161210385957793\
71335152612483163750400000000 + 
       (194299923462363221054275056239244002226097712356520764881116058635354\
790083*z^83)/2111694805779064724181883634474198580240859797683060531184751783\
7565849236458281369600000000 - 
       (201690879118227314376240241265965336591319144003444980262302385836038\
2166743*z^84)/146645472623546161401519696838486012516726374839101425776718873\
871985064142071398400000000 + 
       (569129500902486720365167192761839003865316316671869321399521174103321\
9728303*z^85)/339457112554505003244258557496495399344274015831253300409071467\
296261722551091200000000 - 
       (592644002101391544717138406943446472120006440133641911089007288772359\
612497*z^86)/3492357125046347770002660056548306577615987817193963995978101515\
3936391208960000000 + 
       (154559661656659778804334795725504449913556533599949346061447143889781\
5059209*z^87)/106996235448723890012336398791308412304411391458148406739525168\
976520806400000000 - 
       (169008657777522360396018507716151331826782925889143330130443661656411\
4302909*z^88)/161942307926309306464540489623597134007745161573052253790235743\
643238400000000 + 
       (104613754276415250832420959139932972274012874711810784705787947360096\
22179983*z^89)/
        162442129864353470990665614591571199236164128121117229882180915691520\
0000000 - 
       (768933102651234087317255176784611371923854650658283270396252016977148\
169007*z^90)/
        225614069256046487487035575821626665605783511279329485947473494016000\
000 + 
       (404780913101800069550517686541597533332977811317700904840772523065557\
52896101*z^91)/
        261127394972276027184068953497253085191879063980705423550316544000000\
00 - 
       (122126646273583547672476107771549939227245580623390834868054408109378\
92509733*z^92)/
        20148718747860804566671987152565824474682026541721097496166400000000 \
+ 
       (406679594503066617290483769867138494642715163727178613117589859970002\
0444713*z^93)/
        19988808281607941038365066619608952851867089823136009420800000000 - 
       (756935735644734618175715258733239647443634993141733207880567700564309\
94302463*z^94)/
        1295570907141255437671809873493172870028422488536593203200000000 + 
       (594525970040910256493108422688098689285557463708578054875227947452956\
979157*z^95)/41652871242967317311979484101503757395461113957580800000000 - 
       (785526481898718860876334847320096685813967423816146735170817788251417\
419541*z^96)/267005584890816136615253103214767675611930217676800000000 + 
       (369299422678491273695206156947539014063375833338241027634907294514841\
588711*z^97)/730444571460566030302670526471376216951829299200000000 - 
       (138004402153486884655398797321766517204853287396465144081823689674689\
1559*z^98)/19374253197497652231214737150812930137128960000000 + 
       (691424562345055812264563303769183803805695581749464155992918630088228\
05689*z^99)/8610779198887845436095438733694635616501760000000 - 
       (432176138749029377673375697805695537127846132817665680588818657713345\
051*z^100)/619017368220025695601523948534523494400000000 + 
       (308338237212463277853871091315332768396003373540167291427715944075769\
667*z^101)/6990866742664431607172092853118566400000000 - 
       (193401445934342391624036544455043755477588616987872039361041128966560\
4431*z^102)/1068049085684843717762403074782003200000000 + 
       (452759341989650725843337823453800490028021184482242814408606095694916\
81*z^103)/1236167923246346895558336892108800000000)*Cf[z]^26 + 
     ((-98695585491875*z^2)/16384 + (77989346950470168375*z^3)/8388608)*
      Cf[z]^26*S2[z]^38 + (6320791709083309375*Cf[z]^26*S2[z]^39)/436207616 + 
     (1418293725822955641121673543056057081219856655543088250574603511/
        73847277517806164411839500167908512583789592188681391548001157120000 \
+ (4948961034272425556816645730759458174926155059866263068803409563*z)/
        2670980812999354904942111551211968771115074948954043386429440000000 + 
       (74022418414921628397456487957553834910527594754361227915121077259*
         z^2)/
        247313038240681009716862180667774886214358791569818832076800000000 - 
       (421621892881474555212111620260063666048016093138142492408196440347*
         z^3)/
        286241942408195613098220116513628340525878230983586611200000000 + 
       (2743621033487179435295418311240065971829314716769227095564537776193*
         z^4)/662597088907860215505139158596361899365458868017561600000000 - 
       (5884402446327407053532865872912957812040765567124566256439603948879*
         z^5)/766894778828541916093911063190233679821132949094400000000 + 
       (440545573121828506038427227739281765199927581122524029527102941*z^6)/
        44124014054220831929105998650795588593909760000000 - 
       (402041775789482837399105561201421955226215575137850879404115421*z^7)/
        43360812030208604960444123265247771361280000000 + 
       (155416147159053311519524740211079589322796398420203175812951772459*
         z^8)/25366075037672033901859812110169946246348800000 - 
       (4964221804480403041594168536628606885313420748144322218186145099943*
         z^9)/1761532988727224576518042507650690711552000000 + 
       (1400268274729853260025701942517045112013329970432722353655930571543*
         z^10)/1631049063636319052331520840417306214400000 - 
       (92371076978374985885549124967799175683926240677327108298256639*z^11)/
        592712172087155885637072228188160000 + 
       (13016034409893733694061740475175114543644533359823575833708043*z^12)/
        1019214052530823612867981344768000 + 
       ((-177269816476509375759383990160815472675817471512832257878153653403*
           z^72)/733828217152429567400995585365727349493068683436944426995808\
562488158650299512676983767040000000 + 
         (263355042689431022908996441820221118976244596473234963647784030107*
           z^73)/106167276787099185098523666864254535516937020173169043257495\
451748865545471573014609920000000 - 
         (283651592044075991225121606569806850845074009220865286286587918899*
           z^74)/232669903105630473588699686312194905800870085849592468239087\
11757366983447638179840000000 + 
         (2893240333231862866925376235151303609619739200157468678908598841490\
01*z^75)/75851106529420428311130877675078971991410193882293840918992520968268\
13662520934400000000 - 
         (7123876208294460669124050273358992985124943997193704913147316013181*
           z^76)/836101262449519712424282161321417239764221713870082020711998\
68792182690283520000000 + 
         (4186908219911045240339207450843194099454796204239777505201685988697\
49*z^77)/29031293835052767792509797268104765269591031731600070163611065552841\
21190400000000 - 
         (2693739191881917665524602482004487797356824839614186170417847882814\
2449*z^78)/141124345031506510102478181164398164504956404250833674406442679770\
755891200000000 + 
         (2164080620007030014415437929228001162887273951685703988170017779239\
5867*z^79)/108892241536656257795122053367591176315552781057742032721020586242\
867200000000 - 
         (1745755010693848663455292379538088734614371351928343738114752056943\
2831*z^80)/
          1120290550788644627521831824769456546456304331869773999187454590976\
00000000 + 
         (3413330167587503556773874136312845094000467710597697381828488758930\
1*z^81)/
          486034703764336312787133757101839748393162715131617901910425600000000 \
+ (150534988417803013841248179425642830353332932763455700711201019433097971*
           z^82)/405197681853531766320106996806082373573605444107991174474629\
1200000000 - 
         (1382811509235392882560867285813970668953388643347687240802798475766\
897*z^83)/9689644595900572159093467745783650271024770529824551731200000000 + 
         (3570427025103715196367344428655452863156604113324024633862648352062\
84223*z^84)/
          1579053193406019166667083632646224488611444086341778800640000000 - 
         (6536026927780654975460181983017528061593028827957011877264272324644\
18893*z^85)/2393296010728920143482407401773102592417036616754790400000000 + 
         (8633611810684165192649369016741495665388820206198976758758939380196\
817053*z^86)/31024207546486001859957132985947626197998622809784320000000 - 
         (3696009082792756312891897215763199579505649276857130738781787891891\
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           (728989495098441690785881770263*z^26)/1393459200 + 
           (255686074196628949316535252497*z^27)/967680 - 
           (881495873346311564408786191371*z^28)/12800 + 
           (17735626410670784445191111843379*z^29)/2800 + 
           (6496981618761670143884131363887*z^30)/14)*Cf[z]^12 + 
         ((96722083453192075*z^14)/60949905408 - (16826301495071360465*z^15)/
            3386105856 + (569550889080674660387*z^16)/94058496 - 
           (81863986316055639725*z^17)/27216 - (22810145563081298182289*z^18)/
            60480 + (499746547329865573029767*z^19)/420 - 
           (2752812840975443586272214*z^20)/5 + (3168885132664908274619697888*
             z^21)/35)*Cf[z]^10*tS0[z] + ((8414922072275*z^8)/11664 - 
           (147064947766955*z^9)/54 + (9148482493212080*z^10)/3 - 
           1415651978745549120*z^11 + 245438583179851641600*z^12)*Cf[z]^8*
          tS0[z]^2 + (-2247802400000*z^2 + 946306275840000*z^3)*Cf[z]^6*
          tS0[z]^3)*tS1[z]^14 + (((-62915557524925813*z^16)/7522959753216 + 
           (589990468978841213*z^17)/11609505792 - 
           (16612998012637610611091*z^18)/135444234240 + 
           (36460129331195499896479*z^19)/235146240 - 
           (28001112827207544484039*z^20)/258048 + 
           (1989369218221115549682761*z^21)/53760 - 
           (997845599987773781624579*z^22)/2240 - 
           (130154100611954178499687386*z^23)/35 + 
           (29902709791708489632339491796*z^24)/35)*Cf[z]^11 + 
         ((-7601259649895*z^10)/419904 + (2693576585587345*z^11)/23328 - 
           (441011058392151209*z^12)/1944 + (1829808232132218173*z^13)/9 - 
           88213050945066259320*z^14 + 15319983189882596266368*z^15)*Cf[z]^9*
          tS0[z] + ((-1835078675000*z^4)/27 + 56018645600000*z^5 - 
           11464629615360000*z^6)*Cf[z]^7*tS0[z]^2)*tS1[z]^15 + 
       (((5952587939631199*z^12)/40633270272 - (49344147452288261*z^13)/
            31352832 + (99351925538421859601*z^14)/20901888 - 
           (648377105877202940239*z^15)/96768 + (26936328645444715349807*
             z^16)/5376 - (109371954737365034638059*z^17)/56 + 
           (2222045752751436255225957*z^18)/7)*Cf[z]^10 + 
         ((-164223279680*z^6)/81 + (32466617465390*z^7)/9 - 
           (6967969028396840*z^8)/3 + 539629066935550080*z^9)*Cf[z]^8*
          tS0[z] - 142118400000*Cf[z]^6*tS0[z]^2)*tS1[z]^16 + 
       (((899599315025*z^8)/11664 - (25203646414555*z^9)/108 + 
           (2421402584593415*z^10)/9 - 141125798369269760*z^11 + 
           28649230207978443840*z^12)*Cf[z]^9 + 
         (-6608000000*z^2 + 2763187200000*z^3)*Cf[z]^7*tS0[z])*tS1[z]^17 + 
       ((58334340625*z^4)/81 - 1077238413000*z^5 + 411151589121600*z^6)*
        Cf[z]^8*tS1[z]^18 - 112000000*Cf[z]^7*tS1[z]^19)
