Cubic couplings in the open bosonic string

The following expression is the analytical form for the cubic couplings to truncation level (6,18) in the covariant field theory of the open bosonic string, under the assumption of d=1 Lorentz-symmetry breaking.

For the general framework of the derivation, see the paper
V.A. Kostelecky and R. Potting, Phys. Lett. B 381, 89 (1996) [arXiv:hep-ph/9605088]

The notation is as follows. A field is denoted by the symbol f[], with the argument representing the associated structure of alpha_{-n}, b_{-n}, and c_{-n} coefficients in the string-field expansion. For example, the tachyon phi is f[1], the level-one vector A_mu is f[a[1]], the level-two tensor B_{mu nu} is f[a[1]^2], and the level-two vector B_mu is f[a[2]].


Return to Alan Kostelecky's main page.



V3 =  f[1]^3 + (16*f[1]*f[a[1]]^2)/9 - (5*f[1]^2*f[a[1]^2])/9 + 
  (16*f[a[1]]^2*f[a[1]^2])/9 + (179*f[1]*f[a[1]^2]^2)/81 + 
  (8321*f[a[1]^2]^3)/6561 - (160*f[1]*f[a[1]]*f[a[1]^3])/81 + 
  (12064*f[a[1]]*f[a[1]^2]*f[a[1]^3])/2187 + 
  (9392*f[1]*f[a[1]^3]^2)/2187 + 
  (532112*f[a[1]^2]*f[a[1]^3]^2)/59049 + (25*f[1]^2*f[a[1]^4])/81 - 
  (4720*f[a[1]]^2*f[a[1]^4])/2187 - 
  (10490*f[1]*f[a[1]^2]*f[a[1]^4])/2187 + 
  (261233*f[a[1]^2]^2*f[a[1]^4])/59049 + 
  (698656*f[a[1]]*f[a[1]^3]*f[a[1]^4])/59049 + 
  (532112*f[a[1]^3]^2*f[a[1]^4])/19683 + 
  (679763*f[1]*f[a[1]^4]^2)/59049 + 
  (13771723*f[a[1]^2]*f[a[1]^4]^2)/531441 + 
  (544134409*f[a[1]^4]^3)/14348907 + 
  (4000*f[1]*f[a[1]]*f[a[1]^5])/2187 - 
  (711200*f[a[1]]*f[a[1]^2]*f[a[1]^5])/59049 - 
  (879200*f[1]*f[a[1]^3]*f[a[1]^5])/59049 + 
  (8716960*f[a[1]^2]*f[a[1]^3]*f[a[1]^5])/531441 + 
  (17497760*f[a[1]]*f[a[1]^4]*f[a[1]^5])/531441 + 
  (862127840*f[a[1]^3]*f[a[1]^4]*f[a[1]^5])/4782969 + 
  (21057680*f[1]*f[a[1]^5]^2)/531441 + 
  (431510800*f[a[1]^2]*f[a[1]^5]^2)/4782969 + 
  (62497565200*f[a[1]^4]*f[a[1]^5]^2)/129140163 - 
  (625*f[1]^2*f[a[1]^6])/2187 + (182000*f[a[1]]^2*f[a[1]^6])/59049 + 
  (390250*f[1]*f[a[1]^2]*f[a[1]^6])/59049 - 
  (9763075*f[a[1]^2]^2*f[a[1]^6])/531441 - 
  (7296800*f[a[1]]*f[a[1]^3]*f[a[1]^6])/177147 + 
  (19746160*f[a[1]^3]^2*f[a[1]^6])/4782969 - 
  (3342850*f[1]*f[a[1]^4]*f[a[1]^6])/59049 + 
  (143075870*f[a[1]^2]*f[a[1]^4]*f[a[1]^6])/4782969 + 
  (41572821535*f[a[1]^4]^2*f[a[1]^6])/129140163 + 
  (545407520*f[a[1]]*f[a[1]^5]*f[a[1]^6])/4782969 + 
  (88842068000*f[a[1]^3]*f[a[1]^5]*f[a[1]^6])/129140163 + 
  (312487826000*f[a[1]^5]^2*f[a[1]^6])/129140163 + 
  (799202635*f[1]*f[a[1]^6]^2)/4782969 + 
  (48363108745*f[a[1]^2]*f[a[1]^6]^2)/129140163 + 
  (2601130632275*f[a[1]^4]*f[a[1]^6]^2)/1162261467 + 
  (474950697521125*f[a[1]^6]^3)/94143178827 - (256*f[1]*f[a[2]]^2)/81 - 
  (4352*f[a[1]^2]*f[a[2]]^2)/6561 + 
  (62720*f[a[1]^4]*f[a[2]]^2)/59049 - 
  (32000*f[a[1]^6]*f[a[2]]^2)/19683 - 
  (16384*f[a[1]]*f[a[2]]*f[a[1]*a[2]])/6561 - 
  (180224*f[a[1]^3]*f[a[2]]*f[a[1]*a[2]])/59049 + 
  (409600*f[a[1]^5]*f[a[2]]*f[a[1]*a[2]])/59049 - 
  (16384*f[1]*f[a[1]*a[2]]^2)/6561 - 
  (180224*f[a[1]^2]*f[a[1]*a[2]]^2)/177147 - 
  (6176768*f[a[1]^4]*f[a[1]*a[2]]^2)/1594323 + 
  (541081600*f[a[1]^6]*f[a[1]*a[2]]^2)/43046721 + 
  (2560*f[1]*f[a[2]]*f[a[1]^2*a[2]])/2187 - 
  (218624*f[a[1]^2]*f[a[2]]*f[a[1]^2*a[2]])/177147 - 
  (14782976*f[a[1]^4]*f[a[2]]*f[a[1]^2*a[2]])/1594323 + 
  (395302400*f[a[1]^6]*f[a[2]]*f[a[1]^2*a[2]])/14348907 - 
  (704512*f[a[1]]*f[a[1]*a[2]]*f[a[1]^2*a[2]])/177147 - 
  (3555328*f[a[1]^3]*f[a[1]*a[2]]*f[a[1]^2*a[2]])/1594323 - 
  (1076346880*f[a[1]^5]*f[a[1]*a[2]]*f[a[1]^2*a[2]])/43046721 - 
  (674560*f[1]*f[a[1]^2*a[2]]^2)/177147 - 
  (5497600*f[a[1]^2]*f[a[1]^2*a[2]]^2)/1594323 - 
  (5073152*f[a[1]^4]*f[a[1]^2*a[2]]^2)/1594323 - 
  (47544976640*f[a[1]^6]*f[a[1]^2*a[2]]^2)/1162261467 + 
  (81920*f[a[1]]*f[a[2]]*f[a[1]^3*a[2]])/59049 + 
  (901120*f[a[1]^3]*f[a[2]]*f[a[1]^3*a[2]])/531441 - 
  (1508065280*f[a[1]^5]*f[a[2]]*f[a[1]^3*a[2]])/43046721 + 
  (163840*f[1]*f[a[1]*a[2]]*f[a[1]^3*a[2]])/59049 - 
  (2195456*f[a[1]^2]*f[a[1]*a[2]]*f[a[1]^3*a[2]])/531441 - 
  (99909632*f[a[1]^4]*f[a[1]*a[2]]*f[a[1]^3*a[2]])/43046721 - 
  (12694814720*f[a[1]^6]*f[a[1]*a[2]]*f[a[1]^3*a[2]])/129140163 - 
  (13254656*f[a[1]]*f[a[1]^2*a[2]]*f[a[1]^3*a[2]])/1594323 - 
  (6176768*f[a[1]^3]*f[a[1]^2*a[2]]*f[a[1]^3*a[2]])/531441 - 
  (29069393920*f[a[1]^5]*f[a[1]^2*a[2]]*f[a[1]^3*a[2]])/1162261467 - 
  (4603904*f[1]*f[a[1]^3*a[2]]^2)/531441 - 
  (495861760*f[a[1]^2]*f[a[1]^3*a[2]]^2)/43046721 - 
  (5525782528*f[a[1]^4]*f[a[1]^3*a[2]]^2)/387420489 - 
  (89813893120*f[a[1]^6]*f[a[1]^3*a[2]]^2)/1162261467 - 
  (12800*f[1]*f[a[2]]*f[a[1]^4*a[2]])/19683 + 
  (801280*f[a[1]^2]*f[a[2]]*f[a[1]^4*a[2]])/531441 + 
  (702516736*f[a[1]^4]*f[a[2]]*f[a[1]^4*a[2]])/43046721 - 
  (61390031360*f[a[1]^6]*f[a[2]]*f[a[1]^4*a[2]])/387420489 + 
  (7454720*f[a[1]]*f[a[1]*a[2]]*f[a[1]^4*a[2]])/1594323 - 
  (148258816*f[a[1]^3]*f[a[1]*a[2]]*f[a[1]^4*a[2]])/43046721 + 
  (1933066240*f[a[1]^5]*f[a[1]*a[2]]*f[a[1]^4*a[2]])/1162261467 + 
  (13299200*f[1]*f[a[1]^2*a[2]]*f[a[1]^4*a[2]])/1594323 - 
  (469984768*f[a[1]^2]*f[a[1]^2*a[2]]*f[a[1]^4*a[2]])/43046721 - 
  (19395364352*f[a[1]^4]*f[a[1]^2*a[2]]*f[a[1]^4*a[2]])/1162261467 - 
  (47404403200*f[a[1]^6]*f[a[1]^2*a[2]]*f[a[1]^4*a[2]])/387420489 - 
  (950681600*f[a[1]]*f[a[1]^3*a[2]]*f[a[1]^4*a[2]])/43046721 - 
  (21371076608*f[a[1]^3]*f[a[1]^3*a[2]]*f[a[1]^4*a[2]])/387420489 - 
  (80281026560*f[a[1]^5]*f[a[1]^3*a[2]]*f[a[1]^4*a[2]])/1162261467 - 
  (1137572096*f[1]*f[a[1]^4*a[2]]^2)/43046721 - 
  (49277600512*f[a[1]^2]*f[a[1]^4*a[2]]^2)/1162261467 - 
  (329678707456*f[a[1]^4]*f[a[1]^4*a[2]]^2)/3486784401 - 
  (15334632275200*f[a[1]^6]*f[a[1]^4*a[2]]^2)/94143178827 + 
  (26*f[1]^2*f[a[2]^2])/81 - (6944*f[a[1]]^2*f[a[2]^2])/6561 + 
  (15604*f[1]*f[a[1]^2]*f[a[2]^2])/6561 - 
  (564322*f[a[1]^2]^2*f[a[2]^2])/177147 + 
  (110528*f[a[1]]*f[a[1]^3]*f[a[2]^2])/19683 - 
  (5465632*f[a[1]^3]^2*f[a[2]^2])/531441 - 
  (159940*f[1]*f[a[1]^4]*f[a[2]^2])/59049 + 
  (27673556*f[a[1]^2]*f[a[1]^4]*f[a[2]^2])/1594323 - 
  (1693611190*f[a[1]^4]^2*f[a[2]^2])/43046721 - 
  (14843200*f[a[1]]*f[a[1]^5]*f[a[2]^2])/1594323 + 
  (2857522880*f[a[1]^3]*f[a[1]^5]*f[a[2]^2])/43046721 - 
  (206312029280*f[a[1]^5]^2*f[a[2]^2])/1162261467 + 
  (2015500*f[1]*f[a[1]^6]*f[a[2]^2])/531441 - 
  (1662027700*f[a[1]^2]*f[a[1]^6]*f[a[2]^2])/43046721 + 
  (117352611460*f[a[1]^4]*f[a[1]^6]*f[a[2]^2])/387420489 - 
  (1080008197730*f[a[1]^6]^2*f[a[2]^2])/1162261467 + 
  (512*f[a[2]]^2*f[a[2]^2])/81 + 
  (3768320*f[a[1]*a[2]]^2*f[a[2]^2])/1594323 + 
  (461824*f[a[2]]*f[a[1]^2*a[2]]*f[a[2]^2])/1594323 + 
  (249505280*f[a[1]^2*a[2]]^2*f[a[2]^2])/129140163 + 
  (21168128*f[a[1]*a[2]]*f[a[1]^3*a[2]]*f[a[2]^2])/43046721 + 
  (1431863296*f[a[1]^3*a[2]]^2*f[a[2]^2])/387420489 - 
  (23280640*f[a[2]]*f[a[1]^4*a[2]]*f[a[2]^2])/14348907 - 
  (243258368*f[a[1]^2*a[2]]*f[a[1]^4*a[2]]*f[a[2]^2])/387420489 + 
  (54925955584*f[a[1]^4*a[2]]^2*f[a[2]^2])/3486784401 + 
  (43916*f[1]*f[a[2]^2]^2)/6561 + 
  (6838372*f[a[1]^2]*f[a[2]^2]^2)/1594323 - 
  (100576732*f[a[1]^4]*f[a[2]^2]^2)/43046721 - 
  (296998700*f[a[1]^6]*f[a[2]^2]^2)/387420489 - 
  (41325512*f[a[2]^2]^3)/4782969 + 
  (832*f[1]*f[a[1]]*f[a[1]*a[2]^2])/2187 - 
  (194752*f[a[1]]*f[a[1]^2]*f[a[1]*a[2]^2])/177147 + 
  (249664*f[1]*f[a[1]^3]*f[a[1]*a[2]^2])/59049 - 
  (7447616*f[a[1]^2]*f[a[1]^3]*f[a[1]*a[2]^2])/1594323 + 
  (18662336*f[a[1]]*f[a[1]^4]*f[a[1]*a[2]^2])/1594323 - 
  (9512000*f[a[1]^3]*f[a[1]^4]*f[a[1]*a[2]^2])/531441 - 
  (12795200*f[1]*f[a[1]^5]*f[a[1]*a[2]^2])/1594323 + 
  (1738902080*f[a[1]^2]*f[a[1]^5]*f[a[1]*a[2]^2])/43046721 - 
  (88096326080*f[a[1]^4]*f[a[1]^5]*f[a[1]*a[2]^2])/1162261467 - 
  (442734400*f[a[1]]*f[a[1]^6]*f[a[1]*a[2]^2])/14348907 + 
  (800596160*f[a[1]^3]*f[a[1]^6]*f[a[1]*a[2]^2])/4782969 - 
  (423973439680*f[a[1]^5]*f[a[1]^6]*f[a[1]*a[2]^2])/1162261467 + 
  (12156928*f[a[2]]*f[a[1]*a[2]]*f[a[1]*a[2]^2])/1594323 + 
  (695828480*f[a[1]*a[2]]*f[a[1]^2*a[2]]*f[a[1]*a[2]^2])/129140163 + 
  (86081536*f[a[2]]*f[a[1]^3*a[2]]*f[a[1]*a[2]^2])/43046721 + 
  (83394560*f[a[1]^2*a[2]]*f[a[1]^3*a[2]]*f[a[1]*a[2]^2])/14348907 + 
  (5014847488*f[a[1]*a[2]]*f[a[1]^4*a[2]]*f[a[1]*a[2]^2])/1162261467 + 
  (105855156224*f[a[1]^3*a[2]]*f[a[1]^4*a[2]]*f[a[1]*a[2]^2])/
   10460353203 + (3833216*f[a[1]]*f[a[2]^2]*f[a[1]*a[2]^2])/1594323 + 
  (654484864*f[a[1]^3]*f[a[2]^2]*f[a[1]*a[2]^2])/43046721 - 
  (4228954240*f[a[1]^5]*f[a[2]^2]*f[a[1]*a[2]^2])/387420489 + 
  (10518208*f[1]*f[a[1]*a[2]^2]^2)/1594323 + 
  (160438976*f[a[1]^2]*f[a[1]*a[2]^2]^2)/129140163 + 
  (18242720320*f[a[1]^4]*f[a[1]*a[2]^2]^2)/1162261467 - 
  (139099376320*f[a[1]^6]*f[a[1]*a[2]^2]^2)/10460353203 - 
  (1663907200*f[a[2]^2]*f[a[1]*a[2]^2]^2)/129140163 - 
  (130*f[1]^2*f[a[1]^2*a[2]^2])/2187 + 
  (74656*f[a[1]]^2*f[a[1]^2*a[2]^2])/177147 + 
  (1852*f[1]*f[a[1]^2]*f[a[1]^2*a[2]^2])/177147 - 
  (1136818*f[a[1]^2]^2*f[a[1]^2*a[2]^2])/1594323 - 
  (28864*f[a[1]]*f[a[1]^3]*f[a[1]^2*a[2]^2])/59049 - 
  (3401248*f[a[1]^3]^2*f[a[1]^2*a[2]^2])/531441 + 
  (1864244*f[1]*f[a[1]^4]*f[a[1]^2*a[2]^2])/177147 - 
  (17820452*f[a[1]^2]*f[a[1]^4]*f[a[1]^2*a[2]^2])/43046721 - 
  (40842152050*f[a[1]^4]^2*f[a[1]^2*a[2]^2])/1162261467 + 
  (1362479680*f[a[1]]*f[a[1]^5]*f[a[1]^2*a[2]^2])/43046721 + 
  (7541925440*f[a[1]^3]*f[a[1]^5]*f[a[1]^2*a[2]^2])/1162261467 - 
  (222820220000*f[a[1]^5]^2*f[a[1]^2*a[2]^2])/1162261467 - 
  (139841300*f[1]*f[a[1]^6]*f[a[1]^2*a[2]^2])/4782969 + 
  (132742235780*f[a[1]^2]*f[a[1]^6]*f[a[1]^2*a[2]^2])/1162261467 + 
  (248148333860*f[a[1]^4]*f[a[1]^6]*f[a[1]^2*a[2]^2])/3486784401 - 
  (35301409220630*f[a[1]^6]^2*f[a[1]^2*a[2]^2])/31381059609 - 
  (2079232*f[a[2]]^2*f[a[1]^2*a[2]^2])/1594323 + 
  (594116608*f[a[1]*a[2]]^2*f[a[1]^2*a[2]^2])/129140163 + 
  (1052756992*f[a[2]]*f[a[1]^2*a[2]]*f[a[1]^2*a[2]^2])/129140163 + 
  (10995200*f[a[1]^2*a[2]]^2*f[a[1]^2*a[2]^2])/1594323 + 
  (9913303040*f[a[1]*a[2]]*f[a[1]^3*a[2]]*f[a[1]^2*a[2]^2])/
   1162261467 + (115189055488*f[a[1]^3*a[2]]^2*f[a[1]^2*a[2]^2])/
   10460353203 + (11259151360*f[a[2]]*f[a[1]^4*a[2]]*f[a[1]^2*a[2]^2])/
   1162261467 + (133533246464*f[a[1]^2*a[2]]*f[a[1]^4*a[2]]*
     f[a[1]^2*a[2]^2])/10460353203 + 
  (19103171614208*f[a[1]^4*a[2]]^2*f[a[1]^2*a[2]^2])/847288609443 - 
  (3526456*f[1]*f[a[2]^2]*f[a[1]^2*a[2]^2])/1594323 - 
  (555535288*f[a[1]^2]*f[a[2]^2]*f[a[1]^2*a[2]^2])/129140163 + 
  (41454643864*f[a[1]^4]*f[a[2]^2]*f[a[1]^2*a[2]^2])/1162261467 - 
  (92508461080*f[a[1]^6]*f[a[2]^2]*f[a[1]^2*a[2]^2])/3486784401 - 
  (19552072*f[a[2]^2]^2*f[a[1]^2*a[2]^2])/129140163 + 
  (1002026368*f[a[1]]*f[a[1]*a[2]^2]*f[a[1]^2*a[2]^2])/129140163 + 
  (3760223360*f[a[1]^3]*f[a[1]*a[2]^2]*f[a[1]^2*a[2]^2])/1162261467 + 
  (845840026240*f[a[1]^5]*f[a[1]*a[2]^2]*f[a[1]^2*a[2]^2])/
   10460353203 - (1663907200*f[a[1]*a[2]^2]^2*f[a[1]^2*a[2]^2])/
   129140163 + (1502763556*f[1]*f[a[1]^2*a[2]^2]^2)/129140163 + 
  (6509263300*f[a[1]^2]*f[a[1]^2*a[2]^2]^2)/1162261467 + 
  (137815674668*f[a[1]^4]*f[a[1]^2*a[2]^2]^2)/10460353203 + 
  (92413022060060*f[a[1]^6]*f[a[1]^2*a[2]^2]^2)/847288609443 - 
  (117412590280*f[a[2]^2]*f[a[1]^2*a[2]^2]^2)/10460353203 - 
  (23385895986760*f[a[1]^2*a[2]^2]^3)/2541865828329 - 
  (13312*f[1]*f[a[2]]*f[a[2]^3])/6561 - 
  (1473536*f[a[1]^2]*f[a[2]]*f[a[2]^3])/177147 + 
  (138404864*f[a[1]^4]*f[a[2]]*f[a[2]^3])/43046721 + 
  (1587942400*f[a[1]^6]*f[a[2]]*f[a[2]^3])/387420489 + 
  (3768320*f[a[1]]*f[a[1]*a[2]]*f[a[2]^3])/531441 - 
  (211189760*f[a[1]^3]*f[a[1]*a[2]]*f[a[2]^3])/14348907 + 
  (5964267520*f[a[1]^5]*f[a[1]*a[2]]*f[a[2]^3])/1162261467 - 
  (3994624*f[1]*f[a[1]^2*a[2]]*f[a[2]^3])/531441 + 
  (779865088*f[a[1]^2]*f[a[1]^2*a[2]]*f[a[2]^3])/43046721 - 
  (37965755392*f[a[1]^4]*f[a[1]^2*a[2]]*f[a[2]^3])/1162261467 - 
  (2556707840*f[a[1]^6]*f[a[1]^2*a[2]]*f[a[2]^3])/1162261467 - 
  (706445312*f[a[1]]*f[a[1]^3*a[2]]*f[a[2]^3])/43046721 + 
  (18737102848*f[a[1]^3]*f[a[1]^3*a[2]]*f[a[2]^3])/387420489 - 
  (31328337920*f[a[1]^5]*f[a[1]^3*a[2]]*f[a[2]^3])/387420489 + 
  (40944640*f[1]*f[a[1]^4*a[2]]*f[a[2]^3])/4782969 - 
  (52466086912*f[a[1]^2]*f[a[1]^4*a[2]]*f[a[2]^3])/1162261467 + 
  (507472276480*f[a[1]^4]*f[a[1]^4*a[2]]*f[a[2]^3])/3486784401 - 
  (17061941611520*f[a[1]^6]*f[a[1]^4*a[2]]*f[a[2]^3])/94143178827 - 
  (60639232*f[a[2]]*f[a[2]^2]*f[a[2]^3])/1594323 - 
  (1237895168*f[a[1]^2*a[2]]*f[a[2]^2]*f[a[2]^3])/129140163 + 
  (83622569984*f[a[1]^4*a[2]]*f[a[2]^2]*f[a[2]^3])/10460353203 - 
  (1722351616*f[a[1]*a[2]]*f[a[1]*a[2]^2]*f[a[2]^3])/129140163 - 
  (121673285632*f[a[1]^3*a[2]]*f[a[1]*a[2]^2]*f[a[2]^3])/10460353203 + 
  (9746432*f[a[2]]*f[a[1]^2*a[2]^2]*f[a[2]^3])/1594323 - 
  (140954126336*f[a[1]^2*a[2]]*f[a[1]^2*a[2]^2]*f[a[2]^3])/
   10460353203 - (3508147374080*f[a[1]^4*a[2]]*f[a[1]^2*a[2]^2]*
     f[a[2]^3])/282429536481 - (34073600*f[1]*f[a[2]^3]^2)/1594323 - 
  (1017963520*f[a[1]^2]*f[a[2]^3]^2)/43046721 - 
  (10775260160*f[a[1]^4]*f[a[2]^3]^2)/3486784401 + 
  (7808748037120*f[a[1]^6]*f[a[2]^3]^2)/282429536481 + 
  (45685016576*f[a[2]^2]*f[a[2]^3]^2)/387420489 + 
  (10756818944*f[a[1]^2*a[2]^2]*f[a[2]^3]^2)/387420489 - 
  (32*f[1]*f[a[1]]*f[a[3]])/81 - 
  (32*f[a[1]]*f[a[1]^2]*f[a[3]])/81 + 
  (160*f[1]*f[a[1]^3]*f[a[3]])/729 - 
  (12064*f[a[1]^2]*f[a[1]^3]*f[a[3]])/19683 + 
  (9440*f[a[1]]*f[a[1]^4]*f[a[3]])/19683 - 
  (698656*f[a[1]^3]*f[a[1]^4]*f[a[3]])/531441 - 
  (4000*f[1]*f[a[1]^5]*f[a[3]])/19683 + 
  (711200*f[a[1]^2]*f[a[1]^5]*f[a[3]])/531441 - 
  (17497760*f[a[1]^4]*f[a[1]^5]*f[a[3]])/4782969 - 
  (364000*f[a[1]]*f[a[1]^6]*f[a[3]])/531441 + 
  (7296800*f[a[1]^3]*f[a[1]^6]*f[a[3]])/1594323 - 
  (545407520*f[a[1]^5]*f[a[1]^6]*f[a[3]])/43046721 + 
  (16384*f[a[2]]*f[a[1]*a[2]]*f[a[3]])/6561 + 
  (4243456*f[a[1]*a[2]]*f[a[1]^2*a[2]]*f[a[3]])/1594323 - 
  (81920*f[a[2]]*f[a[1]^3*a[2]]*f[a[3]])/59049 + 
  (6963200*f[a[1]^2*a[2]]*f[a[1]^3*a[2]]*f[a[3]])/1594323 - 
  (46120960*f[a[1]*a[2]]*f[a[1]^4*a[2]]*f[a[3]])/14348907 + 
  (1270792192*f[a[1]^3*a[2]]*f[a[1]^4*a[2]]*f[a[3]])/129140163 - 
  (27584*f[a[1]]*f[a[2]^2]*f[a[3]])/6561 + 
  (979136*f[a[1]^3]*f[a[2]^2]*f[a[3]])/531441 - 
  (17924800*f[a[1]^5]*f[a[2]^2]*f[a[3]])/14348907 - 
  (832*f[1]*f[a[1]*a[2]^2]*f[a[3]])/19683 - 
  (8193856*f[a[1]^2]*f[a[1]*a[2]^2]*f[a[3]])/1594323 + 
  (21741248*f[a[1]^4]*f[a[1]*a[2]^2]*f[a[3]])/4782969 - 
  (201947200*f[a[1]^6]*f[a[1]*a[2]^2]*f[a[3]])/43046721 - 
  (48288896*f[a[2]^2]*f[a[1]*a[2]^2]*f[a[3]])/4782969 + 
  (387136*f[a[1]]*f[a[1]^2*a[2]^2]*f[a[3]])/531441 - 
  (46664000*f[a[1]^3]*f[a[1]^2*a[2]^2]*f[a[3]])/4782969 + 
  (5512246720*f[a[1]^5]*f[a[1]^2*a[2]^2]*f[a[3]])/387420489 - 
  (4857740416*f[a[1]*a[2]^2]*f[a[1]^2*a[2]^2]*f[a[3]])/387420489 + 
  (22249472*f[a[1]*a[2]]*f[a[2]^3]*f[a[3]])/1594323 - 
  (464355328*f[a[1]^3*a[2]]*f[a[2]^3]*f[a[3]])/129140163 + 
  (10288*f[1]*f[a[3]]^2)/2187 - (49904*f[a[1]^2]*f[a[3]]^2)/59049 + 
  (241840*f[a[1]^4]*f[a[3]]^2)/531441 - 
  (5854000*f[a[1]^6]*f[a[3]]^2)/14348907 - 
  (1575712*f[a[2]^2]*f[a[3]]^2)/531441 + 
  (7918496*f[a[1]^2*a[2]^2]*f[a[3]]^2)/14348907 + 
  (32*f[1]^2*f[a[1]*a[3]])/81 - 
  (448*f[1]*f[a[1]^2]*f[a[1]*a[3]])/729 - 
  (3488*f[a[1]^2]^2*f[a[1]*a[3]])/19683 - 
  (16384*f[a[1]]*f[a[1]^3]*f[a[1]*a[3]])/19683 - 
  (278528*f[a[1]^3]^2*f[a[1]*a[3]])/531441 + 
  (11840*f[1]*f[a[1]^4]*f[a[1]*a[3]])/19683 - 
  (805696*f[a[1]^2]*f[a[1]^4]*f[a[1]*a[3]])/531441 - 
  (7653856*f[a[1]^4]^2*f[a[1]*a[3]])/4782969 + 
  (819200*f[a[1]]*f[a[1]^5]*f[a[1]*a[3]])/531441 - 
  (16629760*f[a[1]^3]*f[a[1]^5]*f[a[1]*a[3]])/4782969 - 
  (241991680*f[a[1]^5]^2*f[a[1]*a[3]])/43046721 - 
  (424000*f[1]*f[a[1]^6]*f[a[1]*a[3]])/531441 + 
  (23038400*f[a[1]^2]*f[a[1]^6]*f[a[1]*a[3]])/4782969 - 
  (413846720*f[a[1]^4]*f[a[1]^6]*f[a[1]*a[3]])/43046721 - 
  (26784637600*f[a[1]^6]^2*f[a[1]*a[3]])/1162261467 - 
  (16384*f[a[2]]^2*f[a[1]*a[3]])/6561 - 
  (262144*f[a[1]*a[2]]^2*f[a[1]*a[3]])/1594323 + 
  (5931008*f[a[2]]*f[a[1]^2*a[2]]*f[a[1]*a[3]])/1594323 + 
  (507904*f[a[1]^2*a[2]]^2*f[a[1]*a[3]])/531441 + 
  (78118912*f[a[1]*a[2]]*f[a[1]^3*a[2]]*f[a[1]*a[3]])/14348907 + 
  (421265408*f[a[1]^3*a[2]]^2*f[a[1]*a[3]])/129140163 - 
  (51937280*f[a[2]]*f[a[1]^4*a[2]]*f[a[1]*a[3]])/14348907 + 
  (4129193984*f[a[1]^2*a[2]]*f[a[1]^4*a[2]]*f[a[1]*a[3]])/387420489 + 
  (112613736448*f[a[1]^4*a[2]]^2*f[a[1]*a[3]])/10460353203 + 
  (83584*f[1]*f[a[2]^2]*f[a[1]*a[3]])/19683 - 
  (8149376*f[a[1]^2]*f[a[2]^2]*f[a[1]*a[3]])/1594323 + 
  (58447744*f[a[1]^4]*f[a[2]^2]*f[a[1]*a[3]])/14348907 - 
  (494761600*f[a[1]^6]*f[a[2]^2]*f[a[1]*a[3]])/129140163 + 
  (48288896*f[a[2]^2]^2*f[a[1]*a[3]])/4782969 + 
  (262144*f[a[1]]*f[a[1]*a[2]^2]*f[a[1]*a[3]])/1594323 - 
  (13336576*f[a[1]^3]*f[a[1]*a[2]^2]*f[a[1]*a[3]])/1594323 + 
  (4626513920*f[a[1]^5]*f[a[1]*a[2]^2]*f[a[1]*a[3]])/387420489 + 
  (946339840*f[a[1]*a[2]^2]^2*f[a[1]*a[3]])/387420489 - 
  (444544*f[1]*f[a[1]^2*a[2]^2]*f[a[1]*a[3]])/531441 - 
  (26283392*f[a[1]^2]*f[a[1]^2*a[2]^2]*f[a[1]*a[3]])/14348907 - 
  (7229123968*f[a[1]^4]*f[a[1]^2*a[2]^2]*f[a[1]*a[3]])/387420489 + 
  (147912538240*f[a[1]^6]*f[a[1]^2*a[2]^2]*f[a[1]*a[3]])/3486784401 - 
  (5117613824*f[a[2]^2]*f[a[1]^2*a[2]^2]*f[a[1]*a[3]])/387420489 - 
  (19774983808*f[a[1]^2*a[2]^2]^2*f[a[1]*a[3]])/10460353203 - 
  (23527424*f[a[2]]*f[a[2]^3]*f[a[1]*a[3]])/1594323 + 
  (1542520832*f[a[1]^2*a[2]]*f[a[2]^3]*f[a[1]*a[3]])/129140163 - 
  (24161615872*f[a[1]^4*a[2]]*f[a[2]^3]*f[a[1]*a[3]])/10460353203 - 
  (18915328000*f[a[2]^3]^2*f[a[1]*a[3]])/387420489 + 
  (327680*f[a[1]]*f[a[3]]*f[a[1]*a[3]])/59049 - 
  (1589248*f[a[1]^3]*f[a[3]]*f[a[1]*a[3]])/531441 + 
  (38502400*f[a[1]^5]*f[a[3]]*f[a[1]*a[3]])/14348907 - 
  (50462720*f[a[1]*a[2]^2]*f[a[3]]*f[a[1]*a[3]])/14348907 + 
  (168448*f[1]*f[a[1]*a[3]]^2)/59049 + 
  (488960*f[a[1]^2]*f[a[1]*a[3]]^2)/177147 - 
  (46644736*f[a[1]^4]*f[a[1]*a[3]]^2)/14348907 + 
  (1742835200*f[a[1]^6]*f[a[1]*a[3]]^2)/387420489 - 
  (124224512*f[a[2]^2]*f[a[1]*a[3]]^2)/43046721 - 
  (1813670912*f[a[1]^2*a[2]^2]*f[a[1]*a[3]]^2)/1162261467 + 
  (16384*f[a[1]*a[3]]^3)/4782969 + 
  (736*f[1]*f[a[1]]*f[a[1]^2*a[3]])/729 + 
  (3488*f[a[1]]*f[a[1]^2]*f[a[1]^2*a[3]])/19683 - 
  (27424*f[1]*f[a[1]^3]*f[a[1]^2*a[3]])/19683 - 
  (412768*f[a[1]^2]*f[a[1]^3]*f[a[1]^2*a[3]])/531441 - 
  (1208416*f[a[1]]*f[a[1]^4]*f[a[1]^2*a[3]])/531441 - 
  (1795360*f[a[1]^3]*f[a[1]^4]*f[a[1]^2*a[3]])/531441 + 
  (1095200*f[1]*f[a[1]^5]*f[a[1]^2*a[3]])/531441 - 
  (21518560*f[a[1]^2]*f[a[1]^5]*f[a[1]^2*a[3]])/4782969 - 
  (547168160*f[a[1]^4]*f[a[1]^5]*f[a[1]^2*a[3]])/43046721 + 
  (9480800*f[a[1]]*f[a[1]^6]*f[a[1]^2*a[3]])/1594323 - 
  (433519520*f[a[1]^3]*f[a[1]^6]*f[a[1]^2*a[3]])/43046721 - 
  (59390061920*f[a[1]^5]*f[a[1]^6]*f[a[1]^2*a[3]])/1162261467 - 
  (3129344*f[a[2]]*f[a[1]*a[2]]*f[a[1]^2*a[3]])/531441 - 
  (23412736*f[a[1]*a[2]]*f[a[1]^2*a[2]]*f[a[1]^2*a[3]])/14348907 + 
  (114049024*f[a[2]]*f[a[1]^3*a[2]]*f[a[1]^2*a[3]])/14348907 + 
  (1475264512*f[a[1]^2*a[2]]*f[a[1]^3*a[2]]*f[a[1]^2*a[3]])/387420489 + 
  (5500485632*f[a[1]*a[2]]*f[a[1]^4*a[2]]*f[a[1]^2*a[3]])/387420489 + 
  (70442958848*f[a[1]^3*a[2]]*f[a[1]^4*a[2]]*f[a[1]^2*a[3]])/
   3486784401 + (7954624*f[a[1]]*f[a[2]^2]*f[a[1]^2*a[3]])/1594323 - 
  (132015040*f[a[1]^3]*f[a[2]^2]*f[a[1]^2*a[3]])/14348907 + 
  (4264246720*f[a[1]^5]*f[a[2]^2]*f[a[1]^2*a[3]])/387420489 + 
  (7774400*f[1]*f[a[1]*a[2]^2]*f[a[1]^2*a[3]])/1594323 + 
  (3942080*f[a[1]^2]*f[a[1]*a[2]^2]*f[a[1]^2*a[3]])/14348907 - 
  (7021411648*f[a[1]^4]*f[a[1]*a[2]^2]*f[a[1]^2*a[3]])/387420489 + 
  (388463014720*f[a[1]^6]*f[a[1]*a[2]^2]*f[a[1]^2*a[3]])/10460353203 + 
  (792926080*f[a[2]^2]*f[a[1]*a[2]^2]*f[a[1]^2*a[3]])/43046721 + 
  (32040640*f[a[1]]*f[a[1]^2*a[2]^2]*f[a[1]^2*a[3]])/14348907 - 
  (2872476992*f[a[1]^3]*f[a[1]^2*a[2]^2]*f[a[1]^2*a[3]])/387420489 - 
  (462808153280*f[a[1]^5]*f[a[1]^2*a[2]^2]*f[a[1]^2*a[3]])/
   10460353203 + (165327488*f[a[1]*a[2]^2]*f[a[1]^2*a[2]^2]*
     f[a[1]^2*a[3]])/14348907 - 
  (1229750272*f[a[1]*a[2]]*f[a[2]^3]*f[a[1]^2*a[3]])/129140163 + 
  (93053943808*f[a[1]^3*a[2]]*f[a[2]^3]*f[a[1]^2*a[3]])/10460353203 - 
  (109024*f[1]*f[a[3]]*f[a[1]^2*a[3]])/59049 + 
  (3655456*f[a[1]^2]*f[a[3]]*f[a[1]^2*a[3]])/531441 - 
  (103792352*f[a[1]^4]*f[a[3]]*f[a[1]^2*a[3]])/14348907 + 
  (3740178400*f[a[1]^6]*f[a[3]]*f[a[1]^2*a[3]])/387420489 + 
  (144571840*f[a[2]^2]*f[a[3]]*f[a[1]^2*a[3]])/43046721 - 
  (5547146432*f[a[1]^2*a[2]^2]*f[a[3]]*f[a[1]^2*a[3]])/1162261467 + 
  (999424*f[a[1]]*f[a[1]*a[3]]*f[a[1]^2*a[3]])/177147 + 
  (122552320*f[a[1]^3]*f[a[1]*a[3]]*f[a[1]^2*a[3]])/14348907 - 
  (7000309760*f[a[1]^5]*f[a[1]*a[3]]*f[a[1]^2*a[3]])/387420489 - 
  (5627871232*f[a[1]*a[2]^2]*f[a[1]*a[3]]*f[a[1]^2*a[3]])/1162261467 - 
  (16384*f[a[3]]*f[a[1]*a[3]]*f[a[1]^2*a[3]])/1594323 + 
  (1933712*f[1]*f[a[1]^2*a[3]]^2)/531441 + 
  (86108720*f[a[1]^2]*f[a[1]^2*a[3]]^2)/14348907 + 
  (2649856304*f[a[1]^4]*f[a[1]^2*a[3]]^2)/387420489 - 
  (95719215760*f[a[1]^6]*f[a[1]^2*a[3]]^2)/3486784401 - 
  (6310916704*f[a[2]^2]*f[a[1]^2*a[3]]^2)/1162261467 - 
  (49701651808*f[a[1]^2*a[2]^2]*f[a[1]^2*a[3]]^2)/10460353203 + 
  (606208*f[a[1]*a[3]]*f[a[1]^2*a[3]]^2)/43046721 - 
  (160*f[1]^2*f[a[1]^3*a[3]])/729 + 
  (16384*f[a[1]]^2*f[a[1]^3*a[3]])/19683 + 
  (39488*f[1]*f[a[1]^2]*f[a[1]^3*a[3]])/19683 + 
  (412768*f[a[1]^2]^2*f[a[1]^3*a[3]])/531441 + 
  (278528*f[a[1]]*f[a[1]^3]*f[a[1]^3*a[3]])/531441 - 
  (2209216*f[1]*f[a[1]^4]*f[a[1]^3*a[3]])/531441 - 
  (13436864*f[a[1]^2]*f[a[1]^4]*f[a[1]^3*a[3]])/4782969 - 
  (172297888*f[a[1]^4]^2*f[a[1]^3*a[3]])/43046721 - 
  (36700160*f[a[1]]*f[a[1]^5]*f[a[1]^3*a[3]])/4782969 - 
  (626769920*f[a[1]^3]*f[a[1]^5]*f[a[1]^3*a[3]])/43046721 - 
  (27545190400*f[a[1]^5]^2*f[a[1]^3*a[3]])/1162261467 + 
  (4513600*f[1]*f[a[1]^6]*f[a[1]^3*a[3]])/531441 - 
  (670281920*f[a[1]^2]*f[a[1]^6]*f[a[1]^3*a[3]])/43046721 - 
  (71556497600*f[a[1]^4]*f[a[1]^6]*f[a[1]^3*a[3]])/1162261467 - 
  (1295326696160*f[a[1]^6]^2*f[a[1]^3*a[3]])/10460353203 + 
  (475136*f[a[2]]^2*f[a[1]^3*a[3]])/531441 - 
  (65798144*f[a[1]*a[2]]^2*f[a[1]^3*a[3]])/14348907 - 
  (50954240*f[a[2]]*f[a[1]^2*a[2]]*f[a[1]^3*a[3]])/4782969 - 
  (1999028224*f[a[1]^2*a[2]]^2*f[a[1]^3*a[3]])/387420489 - 
  (524812288*f[a[1]*a[2]]*f[a[1]^3*a[2]]*f[a[1]^3*a[3]])/129140163 - 
  (7862484992*f[a[1]^3*a[2]]^2*f[a[1]^3*a[3]])/3486784401 + 
  (2847047680*f[a[2]]*f[a[1]^4*a[2]]*f[a[1]^3*a[3]])/129140163 + 
  (146438782976*f[a[1]^2*a[2]]*f[a[1]^4*a[2]]*f[a[1]^3*a[3]])/
   10460353203 + (591912452096*f[a[1]^4*a[2]]^2*f[a[1]^3*a[3]])/
   31381059609 - (729472*f[1]*f[a[2]^2]*f[a[1]^3*a[3]])/531441 + 
  (124567424*f[a[1]^2]*f[a[2]^2]*f[a[1]^3*a[3]])/14348907 - 
  (2781427072*f[a[1]^4]*f[a[2]^2]*f[a[1]^3*a[3]])/129140163 + 
  (39800164480*f[a[1]^6]*f[a[2]^2]*f[a[1]^3*a[3]])/1162261467 + 
  (76274048*f[a[2]^2]^2*f[a[1]^3*a[3]])/43046721 + 
  (12255232*f[a[1]]*f[a[1]*a[2]^2]*f[a[1]^3*a[3]])/1594323 + 
  (229376*f[a[1]^3]*f[a[1]*a[2]^2]*f[a[1]^3*a[3]])/531441 - 
  (508579020800*f[a[1]^5]*f[a[1]*a[2]^2]*f[a[1]^3*a[3]])/10460353203 + 
  (4565172224*f[a[1]*a[2]^2]^2*f[a[1]^3*a[3]])/387420489 + 
  (41347712*f[1]*f[a[1]^2*a[2]^2]*f[a[1]^3*a[3]])/4782969 + 
  (3215051392*f[a[1]^2]*f[a[1]^2*a[2]^2]*f[a[1]^3*a[3]])/387420489 - 
  (90759011456*f[a[1]^4]*f[a[1]^2*a[2]^2]*f[a[1]^3*a[3]])/3486784401 - 
  (3897898506880*f[a[1]^6]*f[a[1]^2*a[2]^2]*f[a[1]^3*a[3]])/
   31381059609 + (227281131776*f[a[2]^2]*f[a[1]^2*a[2]^2]*
     f[a[1]^3*a[3]])/10460353203 + 
  (6365944519040*f[a[1]^2*a[2]^2]^2*f[a[1]^3*a[3]])/282429536481 - 
  (726990848*f[a[2]]*f[a[2]^3]*f[a[1]^3*a[3]])/129140163 + 
  (1745944576*f[a[1]^2*a[2]]*f[a[2]^3]*f[a[1]^3*a[3]])/3486784401 - 
  (654804058112*f[a[1]^4*a[2]]*f[a[2]^3]*f[a[1]^3*a[3]])/31381059609 - 
  (380642590720*f[a[2]^3]^2*f[a[1]^3*a[3]])/10460353203 - 
  (1736704*f[a[1]]*f[a[3]]*f[a[1]^3*a[3]])/531441 + 
  (191512576*f[a[1]^3]*f[a[3]]*f[a[1]^3*a[3]])/14348907 - 
  (8672706560*f[a[1]^5]*f[a[3]]*f[a[1]^3*a[3]])/387420489 + 
  (2301165568*f[a[1]*a[2]^2]*f[a[3]]*f[a[1]^3*a[3]])/387420489 + 
  (16384*f[a[3]]^2*f[a[1]^3*a[3]])/1594323 - 
  (1782784*f[1]*f[a[1]*a[3]]*f[a[1]^3*a[3]])/531441 + 
  (124257280*f[a[1]^2]*f[a[1]*a[3]]*f[a[1]^3*a[3]])/14348907 + 
  (7096222720*f[a[1]^4]*f[a[1]*a[3]]*f[a[1]^3*a[3]])/387420489 - 
  (71611581440*f[a[1]^6]*f[a[1]*a[3]]*f[a[1]^3*a[3]])/1162261467 + 
  (970766336*f[a[2]^2]*f[a[1]*a[3]]*f[a[1]^3*a[3]])/129140163 - 
  (7480182784*f[a[1]^2*a[2]^2]*f[a[1]*a[3]]*f[a[1]^3*a[3]])/
   1162261467 - (770048*f[a[1]*a[3]]^2*f[a[1]^3*a[3]])/43046721 + 
  (128008192*f[a[1]]*f[a[1]^2*a[3]]*f[a[1]^3*a[3]])/14348907 + 
  (10942775296*f[a[1]^3]*f[a[1]^2*a[3]]*f[a[1]^3*a[3]])/387420489 + 
  (88957173760*f[a[1]^5]*f[a[1]^2*a[3]]*f[a[1]^3*a[3]])/3486784401 - 
  (108398280704*f[a[1]*a[2]^2]*f[a[1]^2*a[3]]*f[a[1]^3*a[3]])/
   10460353203 - (1490944*f[a[3]]*f[a[1]^2*a[3]]*f[a[1]^3*a[3]])/
   43046721 + (1212416*f[a[1]^2*a[3]]^2*f[a[1]^3*a[3]])/43046721 + 
  (104285696*f[1]*f[a[1]^3*a[3]]^2)/14348907 + 
  (5609595392*f[a[1]^2]*f[a[1]^3*a[3]]^2)/387420489 + 
  (16337380864*f[a[1]^4]*f[a[1]^3*a[3]]^2)/387420489 + 
  (228096171520*f[a[1]^6]*f[a[1]^3*a[3]]^2)/31381059609 - 
  (52060939264*f[a[2]^2]*f[a[1]^3*a[3]]^2)/3486784401 - 
  (492247745536*f[a[1]^2*a[2]^2]*f[a[1]^3*a[3]]^2)/31381059609 + 
  (6471680*f[a[1]*a[3]]*f[a[1]^3*a[3]]^2)/387420489 + 
  (491405312*f[a[1]^3*a[3]]^3)/10460353203 + 
  (16384*f[a[1]]*f[a[2]]*f[a[2]*a[3]])/6561 - 
  (475136*f[a[1]^3]*f[a[2]]*f[a[2]*a[3]])/531441 + 
  (5324800*f[a[1]^5]*f[a[2]]*f[a[2]*a[3]])/14348907 - 
  (32768*f[1]*f[a[1]*a[2]]*f[a[2]*a[3]])/19683 + 
  (1736704*f[a[1]^2]*f[a[1]*a[2]]*f[a[2]*a[3]])/531441 - 
  (32866304*f[a[1]^4]*f[a[1]*a[2]]*f[a[2]*a[3]])/14348907 + 
  (190873600*f[a[1]^6]*f[a[1]*a[2]]*f[a[2]*a[3]])/129140163 - 
  (4145152*f[a[1]]*f[a[1]^2*a[2]]*f[a[2]*a[3]])/1594323 + 
  (31637504*f[a[1]^3]*f[a[1]^2*a[2]]*f[a[2]*a[3]])/4782969 - 
  (2885304320*f[a[1]^5]*f[a[1]^2*a[2]]*f[a[2]*a[3]])/387420489 + 
  (163840*f[1]*f[a[1]^3*a[2]]*f[a[2]*a[3]])/177147 - 
  (84770816*f[a[1]^2]*f[a[1]^3*a[2]]*f[a[2]*a[3]])/14348907 + 
  (787382272*f[a[1]^4]*f[a[1]^3*a[2]]*f[a[2]*a[3]])/43046721 - 
  (102729482240*f[a[1]^6]*f[a[1]^3*a[2]]*f[a[2]*a[3]])/3486784401 + 
  (37765120*f[a[1]]*f[a[1]^4*a[2]]*f[a[2]*a[3]])/14348907 - 
  (759808000*f[a[1]^3]*f[a[1]^4*a[2]]*f[a[2]*a[3]])/43046721 + 
  (224677806080*f[a[1]^5]*f[a[1]^4*a[2]]*f[a[2]*a[3]])/3486784401 - 
  (26017792*f[a[1]*a[2]]*f[a[2]^2]*f[a[2]*a[3]])/4782969 - 
  (458752*f[a[1]^3*a[2]]*f[a[2]^2]*f[a[2]*a[3]])/4782969 - 
  (2916352*f[a[2]]*f[a[1]*a[2]^2]*f[a[2]*a[3]])/4782969 - 
  (2863431680*f[a[1]^2*a[2]]*f[a[1]*a[2]^2]*f[a[2]*a[3]])/387420489 + 
  (4954750976*f[a[1]^4*a[2]]*f[a[1]*a[2]^2]*f[a[2]*a[3]])/10460353203 + 
  (781385728*f[a[1]*a[2]]*f[a[1]^2*a[2]^2]*f[a[2]*a[3]])/387420489 - 
  (18319998976*f[a[1]^3*a[2]]*f[a[1]^2*a[2]^2]*f[a[2]*a[3]])/
   1162261467 + (22249472*f[a[1]]*f[a[2]^3]*f[a[2]*a[3]])/1594323 + 
  (75726848*f[a[1]^3]*f[a[2]^3]*f[a[2]*a[3]])/43046721 - 
  (87694213120*f[a[1]^5]*f[a[2]^3]*f[a[2]*a[3]])/10460353203 + 
  (6911885312*f[a[1]*a[2]^2]*f[a[2]^3]*f[a[2]*a[3]])/387420489 - 
  (3424256*f[a[2]]*f[a[3]]*f[a[2]*a[3]])/531441 + 
  (16334848*f[a[1]^2*a[2]]*f[a[3]]*f[a[2]*a[3]])/14348907 - 
  (77742080*f[a[1]^4*a[2]]*f[a[3]]*f[a[2]*a[3]])/129140163 + 
  (854687744*f[a[2]^3]*f[a[3]]*f[a[2]*a[3]])/43046721 - 
  (90701824*f[a[1]*a[2]]*f[a[1]*a[3]]*f[a[2]*a[3]])/43046721 + 
  (428343296*f[a[1]^3*a[2]]*f[a[1]*a[3]]*f[a[2]*a[3]])/387420489 - 
  (65290240*f[a[2]]*f[a[1]^2*a[3]]*f[a[2]*a[3]])/43046721 - 
  (257343488*f[a[1]^2*a[2]]*f[a[1]^2*a[3]]*f[a[2]*a[3]])/1162261467 + 
  (1133461504*f[a[1]^4*a[2]]*f[a[1]^2*a[3]]*f[a[2]*a[3]])/3486784401 + 
  (1471184896*f[a[2]^3]*f[a[1]^2*a[3]]*f[a[2]*a[3]])/1162261467 - 
  (1425539072*f[a[1]*a[2]]*f[a[1]^3*a[3]]*f[a[2]*a[3]])/387420489 + 
  (16111894528*f[a[1]^3*a[2]]*f[a[1]^3*a[3]]*f[a[2]*a[3]])/3486784401 - 
  (3555328*f[1]*f[a[2]*a[3]]^2)/531441 - 
  (43925504*f[a[1]^2]*f[a[2]*a[3]]^2)/43046721 + 
  (680738816*f[a[1]^4]*f[a[2]*a[3]]^2)/387420489 - 
  (3101900800*f[a[1]^6]*f[a[2]*a[3]]^2)/1162261467 + 
  (87130112*f[a[2]^2]*f[a[2]*a[3]]^2)/14348907 + 
  (1412268032*f[a[1]^2*a[2]^2]*f[a[2]*a[3]]^2)/10460353203 - 
  (6553600*f[a[1]*a[3]]*f[a[2]*a[3]]^2)/14348907 + 
  (31195136*f[a[1]^3*a[3]]*f[a[2]*a[3]]^2)/387420489 - 
  (16384*f[1]*f[a[2]]*f[a[1]*a[2]*a[3]])/19683 + 
  (1392640*f[a[1]^2]*f[a[2]]*f[a[1]*a[2]*a[3]])/531441 - 
  (23773184*f[a[1]^4]*f[a[2]]*f[a[1]*a[2]*a[3]])/14348907 + 
  (27443200*f[a[1]^6]*f[a[2]]*f[a[1]*a[2]*a[3]])/43046721 + 
  (262144*f[a[1]]*f[a[1]*a[2]]*f[a[1]*a[2]*a[3]])/1594323 + 
  (65798144*f[a[1]^3]*f[a[1]*a[2]]*f[a[1]*a[2]*a[3]])/14348907 - 
  (1980497920*f[a[1]^5]*f[a[1]*a[2]]*f[a[1]*a[2]*a[3]])/387420489 - 
  (2637824*f[1]*f[a[1]^2*a[2]]*f[a[1]*a[2]*a[3]])/1594323 + 
  (9027584*f[a[1]^2]*f[a[1]^2*a[2]]*f[a[1]*a[2]*a[3]])/14348907 + 
  (4274634752*f[a[1]^4]*f[a[1]^2*a[2]]*f[a[1]*a[2]*a[3]])/387420489 - 
  (200255979520*f[a[1]^6]*f[a[1]^2*a[2]]*f[a[1]*a[2]*a[3]])/
   10460353203 - (51642368*f[a[1]]*f[a[1]^3*a[2]]*f[a[1]*a[2]*a[3]])/
   14348907 + (262144*f[a[1]^3]*f[a[1]^3*a[2]]*f[a[1]*a[2]*a[3]])/
   177147 + (13226475520*f[a[1]^5]*f[a[1]^3*a[2]]*f[a[1]*a[2]*a[3]])/
   387420489 + (27607040*f[1]*f[a[1]^4*a[2]]*f[a[1]*a[2]*a[3]])/
   14348907 - (3864936448*f[a[1]^2]*f[a[1]^4*a[2]]*f[a[1]*a[2]*a[3]])/
   387420489 + (38363316224*f[a[1]^4]*f[a[1]^4*a[2]]*
     f[a[1]*a[2]*a[3]])/10460353203 + 
  (1360136028160*f[a[1]^6]*f[a[1]^4*a[2]]*f[a[1]*a[2]*a[3]])/
   10460353203 + (28934144*f[a[2]]*f[a[2]^2]*f[a[1]*a[2]*a[3]])/
   4782969 - (1314291712*f[a[1]^2*a[2]]*f[a[2]^2]*f[a[1]*a[2]*a[3]])/
   387420489 - (40095875072*f[a[1]^4*a[2]]*f[a[2]^2]*
     f[a[1]*a[2]*a[3]])/10460353203 - 
  (261619712*f[a[1]*a[2]]*f[a[1]*a[2]^2]*f[a[1]*a[2]*a[3]])/387420489 - 
  (73016016896*f[a[1]^3*a[2]]*f[a[1]*a[2]^2]*f[a[1]*a[2]*a[3]])/
   10460353203 - (1405517824*f[a[2]]*f[a[1]^2*a[2]^2]*
     f[a[1]*a[2]*a[3]])/387420489 - 
  (43533172736*f[a[1]^2*a[2]]*f[a[1]^2*a[2]^2]*f[a[1]*a[2]*a[3]])/
   10460353203 - (5505098940416*f[a[1]^4*a[2]]*f[a[1]^2*a[2]^2]*
     f[a[1]*a[2]*a[3]])/282429536481 - 
  (21397504*f[1]*f[a[2]^3]*f[a[1]*a[2]*a[3]])/1594323 + 
  (1496940544*f[a[1]^2]*f[a[2]^3]*f[a[1]*a[2]*a[3]])/129140163 + 
  (94097932288*f[a[1]^4]*f[a[2]^3]*f[a[1]*a[2]*a[3]])/10460353203 - 
  (1076316897280*f[a[1]^6]*f[a[2]^3]*f[a[1]*a[2]*a[3]])/31381059609 - 
  (4225957888*f[a[2]^2]*f[a[2]^3]*f[a[1]*a[2]*a[3]])/129140163 + 
  (261545721856*f[a[1]^2*a[2]^2]*f[a[2]^3]*f[a[1]*a[2]*a[3]])/
   31381059609 - (235667456*f[a[1]*a[2]]*f[a[3]]*f[a[1]*a[2]*a[3]])/
   43046721 + (1128005632*f[a[1]^3*a[2]]*f[a[3]]*f[a[1]*a[2]*a[3]])/
   387420489 - (121372672*f[a[2]]*f[a[1]*a[3]]*f[a[1]*a[2]*a[3]])/
   43046721 - (4602462208*f[a[1]^2*a[2]]*f[a[1]*a[3]]*
     f[a[1]*a[2]*a[3]])/1162261467 + 
  (46643019776*f[a[1]^4*a[2]]*f[a[1]*a[3]]*f[a[1]*a[2]*a[3]])/
   10460353203 + (36975411200*f[a[2]^3]*f[a[1]*a[3]]*
     f[a[1]*a[2]*a[3]])/3486784401 - 
  (2126774272*f[a[1]*a[2]]*f[a[1]^2*a[3]]*f[a[1]*a[2]*a[3]])/
   1162261467 - (11851268096*f[a[1]^3*a[2]]*f[a[1]^2*a[3]]*
     f[a[1]*a[2]*a[3]])/3486784401 - 
  (1347682304*f[a[2]]*f[a[1]^3*a[3]]*f[a[1]*a[2]*a[3]])/387420489 - 
  (12043681792*f[a[1]^2*a[2]]*f[a[1]^3*a[3]]*f[a[1]*a[2]*a[3]])/
   10460353203 - (137029746688*f[a[1]^4*a[2]]*f[a[1]^3*a[3]]*
     f[a[1]*a[2]*a[3]])/282429536481 + 
  (353771192320*f[a[2]^3]*f[a[1]^3*a[3]]*f[a[1]*a[2]*a[3]])/
   94143178827 - (244056064*f[a[1]]*f[a[2]*a[3]]*f[a[1]*a[2]*a[3]])/
   43046721 - (1866727424*f[a[1]^3]*f[a[2]*a[3]]*f[a[1]*a[2]*a[3]])/
   387420489 + (13312983040*f[a[1]^5]*f[a[2]*a[3]]*f[a[1]*a[2]*a[3]])/
   1162261467 + (62105583616*f[a[1]*a[2]^2]*f[a[2]*a[3]]*
     f[a[1]*a[2]*a[3]])/10460353203 + 
  (6553600*f[a[3]]*f[a[2]*a[3]]*f[a[1]*a[2]*a[3]])/14348907 - 
  (385089536*f[a[1]^2*a[3]]*f[a[2]*a[3]]*f[a[1]*a[2]*a[3]])/387420489 - 
  (209846272*f[1]*f[a[1]*a[2]*a[3]]^2)/43046721 - 
  (2905997312*f[a[1]^2]*f[a[1]*a[2]*a[3]]^2)/1162261467 - 
  (64075464704*f[a[1]^4]*f[a[1]*a[2]*a[3]]^2)/10460353203 + 
  (5833289236480*f[a[1]^6]*f[a[1]*a[2]*a[3]]^2)/282429536481 + 
  (55814389760*f[a[2]^2]*f[a[1]*a[2]*a[3]]^2)/10460353203 + 
  (2627405086720*f[a[1]^2*a[2]^2]*f[a[1]*a[2]*a[3]]^2)/847288609443 - 
  (8388608*f[a[1]*a[3]]*f[a[1]*a[2]*a[3]]^2)/129140163 - 
  (23295164416*f[a[1]^3*a[3]]*f[a[1]*a[2]*a[3]]^2)/31381059609 - 
  (893*f[1]^2*f[a[3]^2])/2187 - (12752*f[a[1]]^2*f[a[3]^2])/59049 + 
  (12002*f[1]*f[a[1]^2]*f[a[3]^2])/59049 - 
  (132199*f[a[1]^2]^2*f[a[3]^2])/531441 + 
  (176672*f[a[1]]*f[a[1]^3]*f[a[3]^2])/531441 - 
  (6649840*f[a[1]^3]^2*f[a[3]^2])/14348907 - 
  (75370*f[1]*f[a[1]^4]*f[a[3]^2])/531441 + 
  (10777618*f[a[1]^2]*f[a[1]^4]*f[a[3]^2])/14348907 - 
  (472886407*f[a[1]^4]^2*f[a[3]^2])/387420489 - 
  (5645600*f[a[1]]*f[a[1]^5]*f[a[3]^2])/14348907 + 
  (850390240*f[a[1]^3]*f[a[1]^5]*f[a[3]^2])/387420489 - 
  (14605045840*f[a[1]^5]^2*f[a[3]^2])/3486784401 + 
  (2268250*f[1]*f[a[1]^6]*f[a[3]^2])/14348907 - 
  (518374850*f[a[1]^2]*f[a[1]^6]*f[a[3]^2])/387420489 + 
  (3078098170*f[a[1]^4]*f[a[1]^6]*f[a[3]^2])/387420489 - 
  (556610587295*f[a[1]^6]^2*f[a[3]^2])/31381059609 - 
  (1614592*f[a[2]]^2*f[a[3]^2])/531441 - 
  (86818816*f[a[1]*a[2]]^2*f[a[3]^2])/43046721 + 
  (7495168*f[a[2]]*f[a[1]^2*a[2]]*f[a[3]^2])/14348907 - 
  (3092889856*f[a[1]^2*a[2]]^2*f[a[3]^2])/1162261467 + 
  (440369152*f[a[1]*a[2]]*f[a[1]^3*a[2]]*f[a[3]^2])/387420489 - 
  (18431787008*f[a[1]^3*a[2]]^2*f[a[3]^2])/3486784401 + 
  (5777920*f[a[2]]*f[a[1]^4*a[2]]*f[a[3]^2])/129140163 + 
  (33109936640*f[a[1]^2*a[2]]*f[a[1]^4*a[2]]*f[a[3]^2])/10460353203 - 
  (3990047001344*f[a[1]^4*a[2]]^2*f[a[3]^2])/282429536481 + 
  (3639964*f[1]*f[a[2]^2]*f[a[3]^2])/531441 - 
  (21804836*f[a[1]^2]*f[a[2]^2]*f[a[3]^2])/43046721 - 
  (4617292*f[a[1]^4]*f[a[2]^2]*f[a[3]^2])/387420489 + 
  (566059300*f[a[1]^6]*f[a[2]^2]*f[a[3]^2])/3486784401 + 
  (621877412*f[a[2]^2]^2*f[a[3]^2])/43046721 + 
  (66183616*f[a[1]]*f[a[1]*a[2]^2]*f[a[3]^2])/14348907 - 
  (442874432*f[a[1]^3]*f[a[1]*a[2]^2]*f[a[3]^2])/387420489 + 
  (1351397440*f[a[1]^5]*f[a[1]*a[2]^2]*f[a[3]^2])/10460353203 + 
  (129303929920*f[a[1]*a[2]^2]^2*f[a[3]^2])/10460353203 - 
  (18119948*f[1]*f[a[1]^2*a[2]^2]*f[a[3]^2])/14348907 + 
  (7249261492*f[a[1]^2]*f[a[1]^2*a[2]^2]*f[a[3]^2])/1162261467 - 
  (3842484068*f[a[1]^4]*f[a[1]^2*a[2]^2]*f[a[3]^2])/1162261467 + 
  (32858405060*f[a[1]^6]*f[a[1]^2*a[2]^2]*f[a[3]^2])/31381059609 + 
  (449832536*f[a[2]^2]*f[a[1]^2*a[2]^2]*f[a[3]^2])/10460353203 + 
  (16208897646700*f[a[1]^2*a[2]^2]^2*f[a[3]^2])/847288609443 - 
  (1027677184*f[a[2]]*f[a[2]^3]*f[a[3]^2])/43046721 - 
  (23792671744*f[a[1]^2*a[2]]*f[a[2]^3]*f[a[3]^2])/3486784401 + 
  (86389310464*f[a[1]^4*a[2]]*f[a[2]^3]*f[a[3]^2])/10460353203 - 
  (771696051200*f[a[2]^3]^2*f[a[3]^2])/10460353203 - 
  (32*f[a[1]]*f[a[3]]*f[a[3]^2])/27 + 
  (1033376*f[a[1]^3]*f[a[3]]*f[a[3]^2])/1594323 - 
  (25424800*f[a[1]^5]*f[a[3]]*f[a[3]^2])/43046721 + 
  (4734016*f[a[1]*a[2]^2]*f[a[3]]*f[a[3]^2])/14348907 + 
  (10288*f[a[3]]^2*f[a[3]^2])/729 - 
  (238528*f[1]*f[a[1]*a[3]]*f[a[3]^2])/177147 - 
  (5525824*f[a[1]^2]*f[a[1]*a[3]]*f[a[3]^2])/4782969 + 
  (60172864*f[a[1]^4]*f[a[1]*a[3]]*f[a[3]^2])/43046721 - 
  (2291700800*f[a[1]^6]*f[a[1]*a[3]]*f[a[3]^2])/1162261467 - 
  (1541416064*f[a[2]^2]*f[a[1]*a[3]]*f[a[3]^2])/129140163 + 
  (8944647808*f[a[1]^2*a[2]^2]*f[a[1]*a[3]]*f[a[3]^2])/3486784401 + 
  (357860864*f[a[1]*a[3]]^2*f[a[3]^2])/43046721 - 
  (6533984*f[a[1]]*f[a[1]^2*a[3]]*f[a[3]^2])/4782969 - 
  (24914528*f[a[1]^3]*f[a[1]^2*a[3]]*f[a[3]^2])/14348907 + 
  (4470041120*f[a[1]^5]*f[a[1]^2*a[3]]*f[a[3]^2])/1162261467 - 
  (50751121216*f[a[1]*a[2]^2]*f[a[1]^2*a[3]]*f[a[3]^2])/3486784401 - 
  (227900576*f[a[3]]*f[a[1]^2*a[3]]*f[a[3]^2])/43046721 + 
  (1329083152*f[a[1]^2*a[3]]^2*f[a[3]^2])/129140163 + 
  (1225408*f[1]*f[a[1]^3*a[3]]*f[a[3]^2])/1594323 - 
  (93088192*f[a[1]^2]*f[a[1]^3*a[3]]*f[a[3]^2])/43046721 - 
  (1387746112*f[a[1]^4]*f[a[1]^3*a[3]]*f[a[3]^2])/387420489 + 
  (135538795840*f[a[1]^6]*f[a[1]^3*a[3]]*f[a[3]^2])/10460353203 + 
  (6384760448*f[a[2]^2]*f[a[1]^3*a[3]]*f[a[3]^2])/1162261467 - 
  (866125510784*f[a[1]^2*a[2]^2]*f[a[1]^3*a[3]]*f[a[3]^2])/
   31381059609 - (1208259584*f[a[1]*a[3]]*f[a[1]^3*a[3]]*f[a[3]^2])/
   129140163 + (69548086784*f[a[1]^3*a[3]]^2*f[a[3]^2])/3486784401 + 
  (1040613376*f[a[1]*a[2]]*f[a[2]*a[3]]*f[a[3]^2])/129140163 - 
  (5127569408*f[a[1]^3*a[2]]*f[a[2]*a[3]]*f[a[3]^2])/1162261467 - 
  (3561537536*f[a[2]*a[3]]^2*f[a[3]^2])/387420489 + 
  (849035264*f[a[2]]*f[a[1]*a[2]*a[3]]*f[a[3]^2])/129140163 + 
  (30648549376*f[a[1]^2*a[2]]*f[a[1]*a[2]*a[3]]*f[a[3]^2])/3486784401 - 
  (322611101696*f[a[1]^4*a[2]]*f[a[1]*a[2]*a[3]]*f[a[3]^2])/
   31381059609 + (28991062016*f[a[2]^3]*f[a[1]*a[2]*a[3]]*f[a[3]^2])/
   1162261467 - (84115849216*f[a[1]*a[2]*a[3]]^2*f[a[3]^2])/10460353203 + 
  (70827779*f[1]*f[a[3]^2]^2)/4782969 - 
  (333983503*f[a[1]^2]*f[a[3]^2]^2)/129140163 + 
  (1570713419*f[a[1]^4]*f[a[3]^2]^2)/1162261467 - 
  (36827054675*f[a[1]^6]*f[a[3]^2]^2)/31381059609 - 
  (24539584946*f[a[2]^2]*f[a[3]^2]^2)/1162261467 + 
  (121334528122*f[a[1]^2*a[2]^2]*f[a[3]^2]^2)/31381059609 - 
  (2053483424*f[a[1]*a[3]]*f[a[3]^2]^2)/1162261467 + 
  (10575272480*f[a[1]^3*a[3]]*f[a[3]^2]^2)/10460353203 + 
  (2714493015689*f[a[3]^2]^3)/94143178827 + 
  (2048*f[1]*f[a[2]]*f[a[4]])/6561 + 
  (186368*f[a[1]^2]*f[a[2]]*f[a[4]])/177147 - 
  (1914880*f[a[1]^4]*f[a[2]]*f[a[4]])/1594323 + 
  (72448000*f[a[1]^6]*f[a[2]]*f[a[4]])/43046721 - 
  (65536*f[a[1]]*f[a[1]*a[2]]*f[a[4]])/177147 + 
  (3473408*f[a[1]^3]*f[a[1]*a[2]]*f[a[4]])/1594323 - 
  (165478400*f[a[1]^5]*f[a[1]*a[2]]*f[a[4]])/43046721 - 
  (10240*f[1]*f[a[1]^2*a[2]]*f[a[4]])/177147 - 
  (686080*f[a[1]^2]*f[a[1]^2*a[2]]*f[a[4]])/531441 + 
  (263329792*f[a[1]^4]*f[a[1]^2*a[2]]*f[a[4]])/43046721 - 
  (17427814400*f[a[1]^6]*f[a[1]^2*a[2]]*f[a[4]])/1162261467 + 
  (327680*f[a[1]]*f[a[1]^3*a[2]]*f[a[4]])/1594323 - 
  (186318848*f[a[1]^3]*f[a[1]^3*a[2]]*f[a[4]])/43046721 + 
  (25299189760*f[a[1]^5]*f[a[1]^3*a[2]]*f[a[4]])/1162261467 + 
  (51200*f[1]*f[a[1]^4*a[2]]*f[a[4]])/1594323 + 
  (57088000*f[a[1]^2]*f[a[1]^4*a[2]]*f[a[4]])/43046721 - 
  (19567437824*f[a[1]^4]*f[a[1]^4*a[2]]*f[a[4]])/1162261467 + 
  (327714007040*f[a[1]^6]*f[a[1]^4*a[2]]*f[a[4]])/3486784401 - 
  (4096*f[a[2]]*f[a[2]^2]*f[a[4]])/6561 - 
  (270282752*f[a[1]^2*a[2]]*f[a[2]^2]*f[a[4]])/129140163 + 
  (2777477120*f[a[1]^4*a[2]]*f[a[2]^2]*f[a[4]])/1162261467 + 
  (78774272*f[a[1]*a[2]]*f[a[1]*a[2]^2]*f[a[4]])/129140163 - 
  (640286720*f[a[1]^3*a[2]]*f[a[1]*a[2]^2]*f[a[4]])/129140163 + 
  (3362816*f[a[2]]*f[a[1]^2*a[2]^2]*f[a[4]])/14348907 + 
  (350212096*f[a[1]^2*a[2]]*f[a[1]^2*a[2]^2]*f[a[4]])/129140163 - 
  (490450890752*f[a[1]^4*a[2]]*f[a[1]^2*a[2]^2]*f[a[4]])/31381059609 + 
  (53248*f[1]*f[a[2]^3]*f[a[4]])/531441 + 
  (31313920*f[a[1]^2]*f[a[2]^3]*f[a[4]])/43046721 + 
  (252203008*f[a[1]^4]*f[a[2]^3]*f[a[4]])/129140163 - 
  (7620915200*f[a[1]^6]*f[a[2]^3]*f[a[4]])/1162261467 + 
  (242556928*f[a[2]^2]*f[a[2]^3]*f[a[4]])/129140163 + 
  (21972017152*f[a[1]^2*a[2]^2]*f[a[2]^3]*f[a[4]])/3486784401 - 
  (1507328*f[a[1]*a[2]]*f[a[3]]*f[a[4]])/1594323 + 
  (7536640*f[a[1]^3*a[2]]*f[a[3]]*f[a[4]])/14348907 - 
  (3276800*f[a[2]]*f[a[1]*a[3]]*f[a[4]])/1594323 - 
  (9568256*f[a[1]^2*a[2]]*f[a[1]*a[3]]*f[a[4]])/14348907 + 
  (368967680*f[a[1]^4*a[2]]*f[a[1]*a[3]]*f[a[4]])/387420489 - 
  (1310720*f[a[2]^3]*f[a[1]*a[3]]*f[a[4]])/129140163 - 
  (11862016*f[a[1]*a[2]]*f[a[1]^2*a[3]]*f[a[4]])/4782969 - 
  (137297920*f[a[1]^3*a[2]]*f[a[1]^2*a[3]]*f[a[4]])/387420489 + 
  (22675456*f[a[2]]*f[a[1]^3*a[3]]*f[a[4]])/14348907 - 
  (1867644928*f[a[1]^2*a[2]]*f[a[1]^3*a[3]]*f[a[4]])/387420489 + 
  (14600241152*f[a[1]^4*a[2]]*f[a[1]^3*a[3]]*f[a[4]])/10460353203 - 
  (26476544*f[a[2]^3]*f[a[1]^3*a[3]]*f[a[4]])/3486784401 + 
  (4784128*f[a[1]]*f[a[2]*a[3]]*f[a[4]])/1594323 - 
  (27066368*f[a[1]^3]*f[a[2]*a[3]]*f[a[4]])/14348907 + 
  (755302400*f[a[1]^5]*f[a[2]*a[3]]*f[a[4]])/387420489 + 
  (812253184*f[a[1]*a[2]^2]*f[a[2]*a[3]]*f[a[4]])/387420489 + 
  (237830144*f[a[3]]*f[a[2]*a[3]]*f[a[4]])/43046721 + 
  (2072969216*f[a[1]^2*a[3]]*f[a[2]*a[3]]*f[a[4]])/1162261467 + 
  (65536*f[1]*f[a[1]*a[2]*a[3]]*f[a[4]])/1594323 + 
  (18022400*f[a[1]^2]*f[a[1]*a[2]*a[3]]*f[a[4]])/4782969 - 
  (1824980992*f[a[1]^4]*f[a[1]*a[2]*a[3]]*f[a[4]])/387420489 + 
  (76007014400*f[a[1]^6]*f[a[1]*a[2]*a[3]]*f[a[4]])/10460353203 + 
  (1763311616*f[a[2]^2]*f[a[1]*a[2]*a[3]]*f[a[4]])/387420489 + 
  (72126955520*f[a[1]^2*a[2]^2]*f[a[1]*a[2]*a[3]]*f[a[4]])/
   31381059609 + (2320498688*f[a[1]*a[3]]*f[a[1]*a[2]*a[3]]*f[a[4]])/
   1162261467 + (41648390144*f[a[1]^3*a[3]]*f[a[1]*a[2]*a[3]]*f[a[4]])/
   10460353203 - (435349504*f[a[2]]*f[a[3]^2]*f[a[4]])/43046721 + 
  (2463008768*f[a[1]^2*a[2]]*f[a[3]^2]*f[a[4]])/1162261467 - 
  (13746350080*f[a[1]^4*a[2]]*f[a[3]^2]*f[a[4]])/10460353203 - 
  (7544213504*f[a[2]^3]*f[a[3]^2]*f[a[4]])/3486784401 - 
  (17294098432*f[a[1]*a[2]*a[3]]*f[a[3]^2]*f[a[4]])/3486784401 - 
  (364544*f[1]*f[a[4]]^2)/59049 + 
  (1429504*f[a[1]^2]*f[a[4]]^2)/1594323 - 
  (5181440*f[a[1]^4]*f[a[4]]^2)/14348907 + 
  (80384000*f[a[1]^6]*f[a[4]]^2)/387420489 - 
  (83206144*f[a[2]^2]*f[a[4]]^2)/129140163 + 
  (324018176*f[a[1]^2*a[2]^2]*f[a[4]]^2)/3486784401 + 
  (7602176*f[a[1]*a[3]]*f[a[4]]^2)/14348907 - 
  (50593792*f[a[1]^3*a[3]]*f[a[4]]^2)/129140163 - 
  (2506797056*f[a[3]^2]*f[a[4]]^2)/387420489 - 
  (65536*f[a[1]]*f[a[2]]*f[a[1]*a[4]])/177147 + 
  (3473408*f[a[1]^3]*f[a[2]]*f[a[1]*a[4]])/1594323 - 
  (165478400*f[a[1]^5]*f[a[2]]*f[a[1]*a[4]])/43046721 + 
  (131072*f[1]*f[a[1]*a[2]]*f[a[1]*a[4]])/177147 - 
  (917504*f[a[1]^2]*f[a[1]*a[2]]*f[a[1]*a[4]])/1594323 + 
  (225574912*f[a[1]^4]*f[a[1]*a[2]]*f[a[1]*a[4]])/43046721 - 
  (15967846400*f[a[1]^6]*f[a[1]*a[2]]*f[a[1]*a[4]])/1162261467 + 
  (458752*f[a[1]]*f[a[1]^2*a[2]]*f[a[1]*a[4]])/1594323 - 
  (56164352*f[a[1]^3]*f[a[1]^2*a[2]]*f[a[1]*a[4]])/43046721 + 
  (18742312960*f[a[1]^5]*f[a[1]^2*a[2]]*f[a[1]*a[4]])/1162261467 - 
  (655360*f[1]*f[a[1]^3*a[2]]*f[a[1]*a[4]])/1594323 - 
  (19791872*f[a[1]^2]*f[a[1]^3*a[2]]*f[a[1]*a[4]])/43046721 - 
  (4524474368*f[a[1]^4]*f[a[1]^3*a[2]]*f[a[1]*a[4]])/1162261467 + 
  (212113162240*f[a[1]^6]*f[a[1]^3*a[2]]*f[a[1]*a[4]])/3486784401 - 
  (12124160*f[a[1]]*f[a[1]^4*a[2]]*f[a[1]*a[4]])/43046721 - 
  (3944284160*f[a[1]^3]*f[a[1]^4*a[2]]*f[a[1]*a[4]])/1162261467 - 
  (151073914880*f[a[1]^5]*f[a[1]^4*a[2]]*f[a[1]*a[4]])/10460353203 + 
  (12320768*f[a[1]*a[2]]*f[a[2]^2]*f[a[1]*a[4]])/14348907 - 
  (4312530944*f[a[1]^3*a[2]]*f[a[2]^2]*f[a[1]*a[4]])/1162261467 - 
  (189661184*f[a[2]]*f[a[1]*a[2]^2]*f[a[1]*a[4]])/129140163 + 
  (59113472*f[a[1]^2*a[2]]*f[a[1]*a[2]^2]*f[a[1]*a[4]])/43046721 - 
  (12414746624*f[a[1]^4*a[2]]*f[a[1]*a[2]^2]*f[a[1]*a[4]])/1162261467 - 
  (1313079296*f[a[1]*a[2]]*f[a[1]^2*a[2]^2]*f[a[1]*a[4]])/1162261467 + 
  (104588902400*f[a[1]^3*a[2]]*f[a[1]^2*a[2]^2]*f[a[1]*a[4]])/
   31381059609 - (21889024*f[a[1]]*f[a[2]^3]*f[a[1]*a[4]])/43046721 - 
  (60686336*f[a[1]^3]*f[a[2]^3]*f[a[1]*a[4]])/129140163 + 
  (97738424320*f[a[1]^5]*f[a[2]^3]*f[a[1]*a[4]])/10460353203 - 
  (10379067392*f[a[1]*a[2]^2]*f[a[2]^3]*f[a[1]*a[4]])/3486784401 + 
  (4784128*f[a[2]]*f[a[3]]*f[a[1]*a[4]])/1594323 - 
  (25100288*f[a[1]^2*a[2]]*f[a[3]]*f[a[1]*a[4]])/14348907 + 
  (633405440*f[a[1]^4*a[2]]*f[a[3]]*f[a[1]*a[4]])/387420489 + 
  (13500416*f[a[2]^3]*f[a[3]]*f[a[1]*a[4]])/43046721 + 
  (2097152*f[a[1]*a[2]]*f[a[1]*a[3]]*f[a[1]*a[4]])/14348907 - 
  (803209216*f[a[1]^3*a[2]]*f[a[1]*a[3]]*f[a[1]*a[4]])/387420489 - 
  (46071808*f[a[2]]*f[a[1]^2*a[3]]*f[a[1]*a[4]])/14348907 - 
  (433389568*f[a[1]^2*a[2]]*f[a[1]^2*a[3]]*f[a[1]*a[4]])/387420489 - 
  (29713825792*f[a[1]^4*a[2]]*f[a[1]^2*a[3]]*f[a[1]*a[4]])/
   10460353203 + (12489195520*f[a[2]^3]*f[a[1]^2*a[3]]*f[a[1]*a[4]])/
   10460353203 - (1910505472*f[a[1]*a[2]]*f[a[1]^3*a[3]]*f[a[1]*a[4]])/
   387420489 - (38149292032*f[a[1]^3*a[2]]*f[a[1]^3*a[3]]*
     f[a[1]*a[4]])/10460353203 - 
  (4849664*f[1]*f[a[2]*a[3]]*f[a[1]*a[4]])/1594323 + 
  (59113472*f[a[1]^2]*f[a[2]*a[3]]*f[a[1]*a[4]])/14348907 - 
  (1853489152*f[a[1]^4]*f[a[2]*a[3]]*f[a[1]*a[4]])/387420489 + 
  (75540070400*f[a[1]^6]*f[a[2]*a[3]]*f[a[1]*a[4]])/10460353203 - 
  (858521600*f[a[2]^2]*f[a[2]*a[3]]*f[a[1]*a[4]])/129140163 + 
  (96745553920*f[a[1]^2*a[2]^2]*f[a[2]*a[3]]*f[a[1]*a[4]])/
   31381059609 + (2027945984*f[a[1]*a[3]]*f[a[2]*a[3]]*f[a[1]*a[4]])/
   1162261467 + (42205184000*f[a[1]^3*a[3]]*f[a[2]*a[3]]*f[a[1]*a[4]])/
   10460353203 - (1048576*f[a[1]]*f[a[1]*a[2]*a[3]]*f[a[1]*a[4]])/
   14348907 + (2565865472*f[a[1]^3]*f[a[1]*a[2]*a[3]]*f[a[1]*a[4]])/
   387420489 - (144006184960*f[a[1]^5]*f[a[1]*a[2]*a[3]]*f[a[1]*a[4]])/
   10460353203 - (5395972096*f[a[1]*a[2]^2]*f[a[1]*a[2]*a[3]]*
     f[a[1]*a[4]])/3486784401 + 
  (5579472896*f[a[3]]*f[a[1]*a[2]*a[3]]*f[a[1]*a[4]])/1162261467 + 
  (13540261888*f[a[1]^2*a[3]]*f[a[1]*a[2]*a[3]]*f[a[1]*a[4]])/
   10460353203 - (7371096064*f[a[1]*a[2]]*f[a[3]^2]*f[a[1]*a[4]])/
   1162261467 + (41586655232*f[a[1]^3*a[2]]*f[a[3]^2]*f[a[1]*a[4]])/
   10460353203 + (34256322560*f[a[2]*a[3]]*f[a[3]^2]*f[a[1]*a[4]])/
   3486784401 - (11272192*f[a[1]]*f[a[4]]*f[a[1]*a[4]])/1594323 + 
  (43778048*f[a[1]^3]*f[a[4]]*f[a[1]*a[4]])/14348907 - 
  (779878400*f[a[1]^5]*f[a[4]]*f[a[1]*a[4]])/387420489 - 
  (2570584064*f[a[1]*a[2]^2]*f[a[4]]*f[a[1]*a[4]])/3486784401 - 
  (7602176*f[a[3]]*f[a[4]]*f[a[1]*a[4]])/14348907 + 
  (187432960*f[a[1]^2*a[3]]*f[a[4]]*f[a[1]*a[4]])/129140163 - 
  (6029312*f[1]*f[a[1]*a[4]]^2)/1594323 - 
  (50069504*f[a[1]^2]*f[a[1]*a[4]]^2)/14348907 + 
  (1250164736*f[a[1]^4]*f[a[1]*a[4]]^2)/387420489 - 
  (33665843200*f[a[1]^6]*f[a[1]*a[4]]^2)/10460353203 + 
  (7380402176*f[a[2]^2]*f[a[1]*a[4]]^2)/3486784401 - 
  (7596408832*f[a[1]^2*a[2]^2]*f[a[1]*a[4]]^2)/10460353203 - 
  (4194304*f[a[1]*a[3]]*f[a[1]*a[4]]^2)/129140163 + 
  (4357881856*f[a[1]^3*a[3]]*f[a[1]*a[4]]^2)/3486784401 - 
  (38643433472*f[a[3]^2]*f[a[1]*a[4]]^2)/10460353203 - 
  (10240*f[1]*f[a[2]]*f[a[1]^2*a[4]])/177147 - 
  (686080*f[a[1]^2]*f[a[2]]*f[a[1]^2*a[4]])/531441 + 
  (263329792*f[a[1]^4]*f[a[2]]*f[a[1]^2*a[4]])/43046721 - 
  (17427814400*f[a[1]^6]*f[a[2]]*f[a[1]^2*a[4]])/1162261467 + 
  (458752*f[a[1]]*f[a[1]*a[2]]*f[a[1]^2*a[4]])/1594323 - 
  (56164352*f[a[1]^3]*f[a[1]*a[2]]*f[a[1]^2*a[4]])/43046721 + 
  (18742312960*f[a[1]^5]*f[a[1]*a[2]]*f[a[1]^2*a[4]])/1162261467 + 
  (821248*f[1]*f[a[1]^2*a[2]]*f[a[1]^2*a[4]])/531441 - 
  (4388864*f[a[1]^2]*f[a[1]^2*a[2]]*f[a[1]^2*a[4]])/43046721 - 
  (992638976*f[a[1]^4]*f[a[1]^2*a[2]]*f[a[1]^2*a[4]])/1162261467 + 
  (540318033920*f[a[1]^6]*f[a[1]^2*a[2]]*f[a[1]^2*a[4]])/10460353203 + 
  (60227584*f[a[1]]*f[a[1]^3*a[2]]*f[a[1]^2*a[4]])/43046721 - 
  (2714304512*f[a[1]^3]*f[a[1]^3*a[2]]*f[a[1]^2*a[4]])/1162261467 + 
  (44868239360*f[a[1]^5]*f[a[1]^3*a[2]]*f[a[1]^2*a[4]])/10460353203 - 
  (73656320*f[1]*f[a[1]^4*a[2]]*f[a[1]^2*a[4]])/43046721 + 
  (1359775744*f[a[1]^2]*f[a[1]^4*a[2]]*f[a[1]^2*a[4]])/1162261467 - 
  (148054452224*f[a[1]^4]*f[a[1]^4*a[2]]*f[a[1]^2*a[4]])/10460353203 + 
  (3947598018560*f[a[1]^6]*f[a[1]^4*a[2]]*f[a[1]^2*a[4]])/94143178827 - 
  (1847296*f[a[2]]*f[a[2]^2]*f[a[1]^2*a[4]])/129140163 + 
  (2279886848*f[a[1]^2*a[2]]*f[a[2]^2]*f[a[1]^2*a[4]])/1162261467 - 
  (257328984064*f[a[1]^4*a[2]]*f[a[2]^2]*f[a[1]^2*a[4]])/31381059609 - 
  (282984448*f[a[1]*a[2]]*f[a[1]*a[2]^2]*f[a[1]^2*a[4]])/1162261467 + 
  (87862411264*f[a[1]^3*a[2]]*f[a[1]*a[2]^2]*f[a[1]^2*a[4]])/
   31381059609 - (3022106624*f[a[2]]*f[a[1]^2*a[2]^2]*f[a[1]^2*a[4]])/
   1162261467 + (8777728*f[a[1]^2*a[2]]*f[a[1]^2*a[2]^2]*
     f[a[1]^2*a[4]])/43046721 + 
  (3039018708992*f[a[1]^4*a[2]]*f[a[1]^2*a[2]^2]*f[a[1]^2*a[4]])/
   847288609443 + (15978496*f[1]*f[a[2]^3]*f[a[1]^2*a[4]])/43046721 - 
  (112529408*f[a[1]^2]*f[a[2]^3]*f[a[1]^2*a[4]])/1162261467 - 
  (8315416576*f[a[1]^4]*f[a[2]^3]*f[a[1]^2*a[4]])/1162261467 + 
  (13891455365120*f[a[1]^6]*f[a[2]^3]*f[a[1]^2*a[4]])/282429536481 + 
  (4951580672*f[a[2]^2]*f[a[2]^3]*f[a[1]^2*a[4]])/10460353203 - 
  (3152015974400*f[a[1]^2*a[2]^2]*f[a[2]^3]*f[a[1]^2*a[4]])/
   847288609443 + (5832704*f[a[1]*a[2]]*f[a[3]]*f[a[1]^2*a[4]])/
   1594323 - (1659830272*f[a[1]^3*a[2]]*f[a[3]]*f[a[1]^2*a[4]])/
   387420489 + (57540608*f[a[2]]*f[a[1]*a[3]]*f[a[1]^2*a[4]])/
   14348907 + (413794304*f[a[1]^2*a[2]]*f[a[1]*a[3]]*f[a[1]^2*a[4]])/
   387420489 - (69342724096*f[a[1]^4*a[2]]*f[a[1]*a[3]]*
     f[a[1]^2*a[4]])/10460353203 - 
  (22153527296*f[a[2]^3]*f[a[1]*a[3]]*f[a[1]^2*a[4]])/10460353203 + 
  (252379136*f[a[1]*a[2]]*f[a[1]^2*a[3]]*f[a[1]^2*a[4]])/387420489 - 
  (14321778688*f[a[1]^3*a[2]]*f[a[1]^2*a[3]]*f[a[1]^2*a[4]])/
   10460353203 - (2874277888*f[a[2]]*f[a[1]^3*a[3]]*f[a[1]^2*a[4]])/
   387420489 - (39939604480*f[a[1]^2*a[2]]*f[a[1]^3*a[3]]*
     f[a[1]^2*a[4]])/10460353203 - 
  (654028439552*f[a[1]^4*a[2]]*f[a[1]^3*a[3]]*f[a[1]^2*a[4]])/
   94143178827 + (609415856128*f[a[2]^3]*f[a[1]^3*a[3]]*
     f[a[1]^2*a[4]])/94143178827 - 
  (58654720*f[a[1]]*f[a[2]*a[3]]*f[a[1]^2*a[4]])/14348907 + 
  (3345022976*f[a[1]^3]*f[a[2]*a[3]]*f[a[1]^2*a[4]])/387420489 - 
  (161361756160*f[a[1]^5]*f[a[2]*a[3]]*f[a[1]^2*a[4]])/10460353203 - 
  (191010045952*f[a[1]*a[2]^2]*f[a[2]*a[3]]*f[a[1]^2*a[4]])/
   31381059609 - (1186004992*f[a[3]]*f[a[2]*a[3]]*f[a[1]^2*a[4]])/
   1162261467 - (21692416*f[a[1]^2*a[3]]*f[a[2]*a[3]]*f[a[1]^2*a[4]])/
   387420489 - (17629184*f[1]*f[a[1]*a[2]*a[3]]*f[a[1]^2*a[4]])/
   4782969 - (51183616*f[a[1]^2]*f[a[1]*a[2]*a[3]]*f[a[1]^2*a[4]])/
   387420489 + (166496239616*f[a[1]^4]*f[a[1]*a[2]*a[3]]*
     f[a[1]^2*a[4]])/10460353203 - 
  (4625553489920*f[a[1]^6]*f[a[1]*a[2]*a[3]]*f[a[1]^2*a[4]])/
   94143178827 - (224557137920*f[a[2]^2]*f[a[1]*a[2]*a[3]]*
     f[a[1]^2*a[4]])/31381059609 - 
  (1185091551232*f[a[1]^2*a[2]^2]*f[a[1]*a[2]*a[3]]*f[a[1]^2*a[4]])/
   282429536481 + (36655071232*f[a[1]*a[3]]*f[a[1]*a[2]*a[3]]*
     f[a[1]^2*a[4]])/10460353203 + 
  (202900504576*f[a[1]^3*a[3]]*f[a[1]*a[2]*a[3]]*f[a[1]^2*a[4]])/
   282429536481 + (1255049216*f[a[2]]*f[a[3]^2]*f[a[1]^2*a[4]])/
   1162261467 - (28439308288*f[a[1]^2*a[2]]*f[a[3]^2]*f[a[1]^2*a[4]])/
   3486784401 + (2840620386304*f[a[1]^4*a[2]]*f[a[3]^2]*
     f[a[1]^2*a[4]])/282429536481 - 
  (3476794019840*f[a[2]^3]*f[a[3]^2]*f[a[1]^2*a[4]])/282429536481 + 
  (127850971136*f[a[1]*a[2]*a[3]]*f[a[3]^2]*f[a[1]^2*a[4]])/
   10460353203 + (3645440*f[1]*f[a[4]]*f[a[1]^2*a[4]])/1594323 - 
  (120807424*f[a[1]^2]*f[a[4]]*f[a[1]^2*a[4]])/14348907 + 
  (2727780352*f[a[1]^4]*f[a[4]]*f[a[1]^2*a[4]])/387420489 - 
  (70953574400*f[a[1]^6]*f[a[4]]*f[a[1]^2*a[4]])/10460353203 - 
  (16683352064*f[a[2]^2]*f[a[4]]*f[a[1]^2*a[4]])/3486784401 - 
  (4768251904*f[a[1]^2*a[2]^2]*f[a[4]]*f[a[1]^2*a[4]])/31381059609 - 
  (110624768*f[a[1]*a[3]]*f[a[4]]*f[a[1]^2*a[4]])/129140163 + 
  (10777788416*f[a[1]^3*a[3]]*f[a[4]]*f[a[1]^2*a[4]])/3486784401 + 
  (27647467520*f[a[3]^2]*f[a[4]]*f[a[1]^2*a[4]])/10460353203 - 
  (105644032*f[a[1]]*f[a[1]*a[4]]*f[a[1]^2*a[4]])/14348907 - 
  (4123787264*f[a[1]^3]*f[a[1]*a[4]]*f[a[1]^2*a[4]])/387420489 + 
  (181381365760*f[a[1]^5]*f[a[1]*a[4]]*f[a[1]^2*a[4]])/10460353203 + 
  (22025863168*f[a[1]*a[2]^2]*f[a[1]*a[4]]*f[a[1]^2*a[4]])/
   10460353203 - (64225280*f[a[3]]*f[a[1]*a[4]]*f[a[1]^2*a[4]])/
   129140163 + (476315648*f[a[1]^2*a[3]]*f[a[1]*a[4]]*f[a[1]^2*a[4]])/
   3486784401 - (69447680*f[1]*f[a[1]^2*a[4]]^2)/14348907 - 
  (2990510080*f[a[1]^2]*f[a[1]^2*a[4]]^2)/387420489 - 
  (92175634432*f[a[1]^4]*f[a[1]^2*a[4]]^2)/10460353203 + 
  (812814929920*f[a[1]^6]*f[a[1]^2*a[4]]^2)/31381059609 + 
  (206590517248*f[a[2]^2]*f[a[1]^2*a[4]]^2)/31381059609 + 
  (1226851115008*f[a[1]^2*a[2]^2]*f[a[1]^2*a[4]]^2)/847288609443 - 
  (941883392*f[a[1]*a[3]]*f[a[1]^2*a[4]]^2)/3486784401 + 
  (93404790784*f[a[1]^3*a[3]]*f[a[1]^2*a[4]]^2)/94143178827 - 
  (422158340096*f[a[3]^2]*f[a[1]^2*a[4]]^2)/94143178827 - 
  (2048*f[1]^2*f[a[2]*a[4]])/6561 + 
  (65536*f[a[1]]^2*f[a[2]*a[4]])/177147 - 
  (176128*f[1]*f[a[1]^2]*f[a[2]*a[4]])/177147 + 
  (686080*f[a[1]^2]^2*f[a[2]*a[4]])/531441 - 
  (3801088*f[a[1]]*f[a[1]^3]*f[a[2]*a[4]])/1594323 + 
  (186318848*f[a[1]^3]^2*f[a[2]*a[4]])/43046721 + 
  (1863680*f[1]*f[a[1]^4]*f[a[2]*a[4]])/1594323 - 
  (320417792*f[a[1]^2]*f[a[1]^4]*f[a[2]*a[4]])/43046721 + 
  (19567437824*f[a[1]^4]^2*f[a[2]*a[4]])/1162261467 + 
  (173670400*f[a[1]]*f[a[1]^5]*f[a[2]*a[4]])/43046721 - 
  (33312604160*f[a[1]^3]*f[a[1]^5]*f[a[2]*a[4]])/1162261467 + 
  (801831976960*f[a[1]^5]^2*f[a[2]*a[4]])/10460353203 - 
  (71168000*f[1]*f[a[1]^6]*f[a[2]*a[4]])/43046721 + 
  (19510374400*f[a[1]^2]*f[a[1]^6]*f[a[2]*a[4]])/1162261467 - 
  (458258698240*f[a[1]^4]*f[a[1]^6]*f[a[2]*a[4]])/3486784401 + 
  (37991581788160*f[a[1]^6]^2*f[a[2]*a[4]])/94143178827 + 
  (16777216*f[a[1]*a[2]]^2*f[a[2]*a[4]])/129140163 - 
  (16777216*f[a[2]]*f[a[1]^2*a[2]]*f[a[2]*a[4]])/129140163 - 
  (16777216*f[a[1]^2*a[2]]^2*f[a[2]*a[4]])/129140163 + 
  (369098752*f[a[1]*a[2]]*f[a[1]^3*a[2]]*f[a[2]*a[4]])/1162261467 - 
  (19444793344*f[a[1]^3*a[2]]^2*f[a[2]*a[4]])/10460353203 + 
  (167772160*f[a[2]]*f[a[1]^4*a[2]]*f[a[2]*a[4]])/1162261467 + 
  (31792824320*f[a[1]^2*a[2]]*f[a[1]^4*a[2]]*f[a[2]*a[4]])/
   10460353203 - (10422040133632*f[a[1]^4*a[2]]^2*f[a[2]*a[4]])/
   847288609443 - (385024*f[1]*f[a[2]^2]*f[a[2]*a[4]])/531441 - 
  (367108096*f[a[1]^2]*f[a[2]^2]*f[a[2]*a[4]])/129140163 + 
  (536485888*f[a[1]^4]*f[a[2]^2]*f[a[2]*a[4]])/1162261467 + 
  (33198284800*f[a[1]^6]*f[a[2]^2]*f[a[2]*a[4]])/10460353203 + 
  (79929344*f[a[2]^2]^2*f[a[2]*a[4]])/129140163 + 
  (127664128*f[a[1]]*f[a[1]*a[2]^2]*f[a[2]*a[4]])/129140163 - 
  (575406080*f[a[1]^3]*f[a[1]*a[2]^2]*f[a[2]*a[4]])/129140163 - 
  (14723317760*f[a[1]^5]*f[a[1]*a[2]^2]*f[a[2]*a[4]])/31381059609 - 
  (3463708672*f[a[1]*a[2]^2]^2*f[a[2]*a[4]])/3486784401 + 
  (8192*f[1]*f[a[1]^2*a[2]^2]*f[a[2]*a[4]])/531441 + 
  (3415433216*f[a[1]^2]*f[a[1]^2*a[2]^2]*f[a[2]*a[4]])/1162261467 - 
  (273908801536*f[a[1]^4]*f[a[1]^2*a[2]^2]*f[a[2]*a[4]])/31381059609 - 
  (2679819345920*f[a[1]^6]*f[a[1]^2*a[2]^2]*f[a[2]*a[4]])/
   282429536481 + (22903472128*f[a[2]^2]*f[a[1]^2*a[2]^2]*
     f[a[2]*a[4]])/10460353203 - 
  (2079627960320*f[a[1]^2*a[2]^2]^2*f[a[2]*a[4]])/847288609443 + 
  (268435456*f[a[2]]*f[a[2]^3]*f[a[2]*a[4]])/129140163 + 
  (27145535488*f[a[1]^2*a[2]]*f[a[2]^3]*f[a[2]*a[4]])/3486784401 - 
  (2837564096512*f[a[1]^4*a[2]]*f[a[2]^3]*f[a[2]*a[4]])/847288609443 - 
  (116500987904*f[a[2]^3]^2*f[a[2]*a[4]])/31381059609 - 
  (3276800*f[a[1]]*f[a[3]]*f[a[2]*a[4]])/1594323 + 
  (19529728*f[a[1]^3]*f[a[3]]*f[a[2]*a[4]])/14348907 - 
  (566886400*f[a[1]^5]*f[a[3]]*f[a[2]*a[4]])/387420489 + 
  (770441216*f[a[1]*a[2]^2]*f[a[3]]*f[a[2]*a[4]])/387420489 - 
  (237830144*f[a[3]]^2*f[a[2]*a[4]])/43046721 + 
  (3211264*f[1]*f[a[1]*a[3]]*f[a[2]*a[4]])/1594323 - 
  (44498944*f[a[1]^2]*f[a[1]*a[3]]*f[a[2]*a[4]])/14348907 + 
  (1456013312*f[a[1]^4]*f[a[1]*a[3]]*f[a[2]*a[4]])/387420489 - 
  (61146726400*f[a[1]^6]*f[a[1]*a[3]]*f[a[2]*a[4]])/10460353203 + 
  (1425670144*f[a[2]^2]*f[a[1]*a[3]]*f[a[2]*a[4]])/387420489 + 
  (22067937280*f[a[1]^2*a[2]^2]*f[a[1]*a[3]]*f[a[2]*a[4]])/
   31381059609 - (2320498688*f[a[1]*a[3]]^2*f[a[2]*a[4]])/1162261467 + 
  (44957696*f[a[1]]*f[a[1]^2*a[3]]*f[a[2]*a[4]])/14348907 - 
  (2770468864*f[a[1]^3]*f[a[1]^2*a[3]]*f[a[2]*a[4]])/387420489 + 
  (137770434560*f[a[1]^5]*f[a[1]^2*a[3]]*f[a[2]*a[4]])/10460353203 + 
  (164115513344*f[a[1]*a[2]^2]*f[a[1]^2*a[3]]*f[a[2]*a[4]])/
   31381059609 - (594411520*f[a[3]]*f[a[1]^2*a[3]]*f[a[2]*a[4]])/
   1162261467 - (581894144*f[a[1]^2*a[3]]^2*f[a[2]*a[4]])/1162261467 - 
  (22347776*f[1]*f[a[1]^3*a[3]]*f[a[2]*a[4]])/14348907 + 
  (2846425088*f[a[1]^2]*f[a[1]^3*a[3]]*f[a[2]*a[4]])/387420489 - 
  (232765456384*f[a[1]^4]*f[a[1]^3*a[3]]*f[a[2]*a[4]])/10460353203 + 
  (1760363479040*f[a[1]^6]*f[a[1]^3*a[3]]*f[a[2]*a[4]])/31381059609 - 
  (30465720320*f[a[2]^2]*f[a[1]^3*a[3]]*f[a[2]*a[4]])/10460353203 + 
  (1087887769600*f[a[1]^2*a[2]^2]*f[a[1]^3*a[3]]*f[a[2]*a[4]])/
   94143178827 - (25717374976*f[a[1]*a[3]]*f[a[1]^3*a[3]]*
     f[a[2]*a[4]])/10460353203 + 
  (993589723136*f[a[1]^3*a[3]]^2*f[a[2]*a[4]])/282429536481 + 
  (167772160*f[a[1]*a[2]]*f[a[2]*a[3]]*f[a[2]*a[4]])/387420489 + 
  (9831448576*f[a[1]^3*a[2]]*f[a[2]*a[3]]*f[a[2]*a[4]])/10460353203 + 
  (419430400*f[a[2]*a[3]]^2*f[a[2]*a[4]])/1162261467 - 
  (83886080*f[a[2]]*f[a[1]*a[2]*a[3]]*f[a[2]*a[4]])/387420489 + 
  (6325010432*f[a[1]^2*a[2]]*f[a[1]*a[2]*a[3]]*f[a[2]*a[4]])/
   10460353203 + (555275517952*f[a[1]^4*a[2]]*f[a[1]*a[2]*a[3]]*
     f[a[2]*a[4]])/282429536481 - 
  (388728094720*f[a[2]^3]*f[a[1]*a[2]*a[3]]*f[a[2]*a[4]])/31381059609 + 
  (1537598291968*f[a[1]*a[2]*a[3]]^2*f[a[2]*a[4]])/847288609443 + 
  (437178368*f[1]*f[a[3]^2]*f[a[2]*a[4]])/43046721 - 
  (1374883840*f[a[1]^2]*f[a[3]^2]*f[a[2]*a[4]])/1162261467 + 
  (2215399424*f[a[1]^4]*f[a[3]^2]*f[a[2]*a[4]])/10460353203 + 
  (76190003200*f[a[1]^6]*f[a[3]^2]*f[a[2]*a[4]])/282429536481 + 
  (73055363072*f[a[2]^2]*f[a[3]^2]*f[a[2]*a[4]])/3486784401 - 
  (533267996672*f[a[1]^2*a[2]^2]*f[a[3]^2]*f[a[2]*a[4]])/94143178827 - 
  (4727308288*f[a[1]*a[3]]*f[a[3]^2]*f[a[2]*a[4]])/1162261467 + 
  (102847152128*f[a[1]^3*a[3]]*f[a[3]^2]*f[a[2]*a[4]])/31381059609 - 
  (3247473498112*f[a[3]^2]^2*f[a[2]*a[4]])/94143178827 + 
  (1677721600*f[a[2]]*f[a[4]]*f[a[2]*a[4]])/129140163 - 
  (6576668672*f[a[1]^2*a[2]]*f[a[4]]*f[a[2]*a[4]])/3486784401 + 
  (23823646720*f[a[1]^4*a[2]]*f[a[4]]*f[a[2]*a[4]])/31381059609 + 
  (42547019776*f[a[2]^3]*f[a[4]]*f[a[2]*a[4]])/10460353203 - 
  (35097935872*f[a[1]*a[2]*a[3]]*f[a[4]]*f[a[2]*a[4]])/31381059609 + 
  (16777216000*f[a[1]*a[2]]*f[a[1]*a[4]]*f[a[2]*a[4]])/3486784401 - 
  (64558727168*f[a[1]^3*a[2]]*f[a[1]*a[4]]*f[a[2]*a[4]])/31381059609 - 
  (100529078272*f[a[2]*a[3]]*f[a[1]*a[4]]*f[a[2]*a[4]])/31381059609 + 
  (268435456*f[a[1]*a[4]]^2*f[a[2]*a[4]])/10460353203 + 
  (9529458688*f[a[2]]*f[a[1]^2*a[4]]*f[a[2]*a[4]])/3486784401 + 
  (65565360128*f[a[1]^2*a[2]]*f[a[1]^2*a[4]]*f[a[2]*a[4]])/
   31381059609 - (1586721980416*f[a[1]^4*a[2]]*f[a[1]^2*a[4]]*
     f[a[2]*a[4]])/847288609443 + 
  (1573300207616*f[a[2]^3]*f[a[1]^2*a[4]]*f[a[2]*a[4]])/94143178827 - 
  (380171714560*f[a[1]*a[2]*a[3]]*f[a[1]^2*a[4]]*f[a[2]*a[4]])/
   94143178827 - (268435456*f[a[4]]*f[a[1]^2*a[4]]*f[a[2]*a[4]])/
   10460353203 - (268435456*f[a[1]^2*a[4]]^2*f[a[2]*a[4]])/10460353203 + 
  (845152256*f[1]*f[a[2]*a[4]]^2)/129140163 + 
  (6243221504*f[a[1]^2]*f[a[2]*a[4]]^2)/3486784401 - 
  (64233668608*f[a[1]^4]*f[a[2]*a[4]]^2)/31381059609 + 
  (1948096921600*f[a[1]^6]*f[a[2]*a[4]]^2)/847288609443 - 
  (135840923648*f[a[2]^2]*f[a[2]*a[4]]^2)/10460353203 + 
  (5520672948224*f[a[1]^2*a[2]^2]*f[a[2]*a[4]]^2)/2541865828329 + 
  (106770202624*f[a[1]*a[3]]*f[a[2]*a[4]]^2)/31381059609 - 
  (527408562176*f[a[1]^3*a[3]]*f[a[2]*a[4]]^2)/282429536481 + 
  (10486550626304*f[a[3]^2]*f[a[2]*a[4]]^2)/847288609443 - 
  (4294967296*f[a[2]*a[4]]^3)/2541865828329 + 
  (2080*f[1]*f[a[1]]*f[a[5]])/6561 + 
  (2080*f[a[1]]*f[a[1]^2]*f[a[5]])/6561 - 
  (10400*f[1]*f[a[1]^3]*f[a[5]])/59049 + 
  (784160*f[a[1]^2]*f[a[1]^3]*f[a[5]])/1594323 - 
  (613600*f[a[1]]*f[a[1]^4]*f[a[5]])/1594323 + 
  (45412640*f[a[1]^3]*f[a[1]^4]*f[a[5]])/43046721 + 
  (260000*f[1]*f[a[1]^5]*f[a[5]])/1594323 - 
  (46228000*f[a[1]^2]*f[a[1]^5]*f[a[5]])/43046721 + 
  (1137354400*f[a[1]^4]*f[a[1]^5]*f[a[5]])/387420489 + 
  (23660000*f[a[1]]*f[a[1]^6]*f[a[5]])/43046721 - 
  (474292000*f[a[1]^3]*f[a[1]^6]*f[a[5]])/129140163 + 
  (35451488800*f[a[1]^5]*f[a[1]^6]*f[a[5]])/3486784401 - 
  (1884160*f[a[2]]*f[a[1]*a[2]]*f[a[5]])/1594323 - 
  (169656320*f[a[1]*a[2]]*f[a[1]^2*a[2]]*f[a[5]])/129140163 + 
  (9420800*f[a[2]]*f[a[1]^3*a[2]]*f[a[5]])/14348907 - 
  (863682560*f[a[1]^2*a[2]]*f[a[1]^3*a[2]]*f[a[5]])/387420489 + 
  (1837875200*f[a[1]*a[2]]*f[a[1]^4*a[2]]*f[a[5]])/1162261467 - 
  (53984542720*f[a[1]^3*a[2]]*f[a[1]^4*a[2]]*f[a[5]])/10460353203 + 
  (2757440*f[a[1]]*f[a[2]^2]*f[a[5]])/1594323 - 
  (24322240*f[a[1]^3]*f[a[2]^2]*f[a[5]])/43046721 + 
  (182072000*f[a[1]^5]*f[a[2]^2]*f[a[5]])/1162261467 + 
  (54080*f[1]*f[a[1]*a[2]^2]*f[a[5]])/1594323 + 
  (280942400*f[a[1]^2]*f[a[1]*a[2]^2]*f[a[5]])/129140163 - 
  (574320320*f[a[1]^4]*f[a[1]*a[2]^2]*f[a[5]])/387420489 + 
  (2640808000*f[a[1]^6]*f[a[1]*a[2]^2]*f[a[5]])/3486784401 + 
  (192049280*f[a[2]^2]*f[a[1]*a[2]^2]*f[a[5]])/43046721 - 
  (4018880*f[a[1]]*f[a[1]^2*a[2]^2]*f[a[5]])/14348907 + 
  (1625446720*f[a[1]^3]*f[a[1]^2*a[2]^2]*f[a[5]])/387420489 - 
  (152054244800*f[a[1]^5]*f[a[1]^2*a[2]^2]*f[a[5]])/31381059609 + 
  (20004575360*f[a[1]*a[2]^2]*f[a[1]^2*a[2]^2]*f[a[5]])/3486784401 - 
  (741048320*f[a[1]*a[2]]*f[a[2]^3]*f[a[5]])/129140163 + 
  (340295680*f[a[1]^3*a[2]]*f[a[2]^3]*f[a[5]])/387420489 - 
  (7520*f[1]*f[a[3]]*f[a[5]])/19683 + 
  (46240*f[a[1]^2]*f[a[3]]*f[a[5]])/1594323 + 
  (101600*f[a[1]^4]*f[a[3]]*f[a[5]])/14348907 - 
  (3620000*f[a[1]^6]*f[a[3]]*f[a[5]])/129140163 + 
  (13321280*f[a[2]^2]*f[a[3]]*f[a[5]])/4782969 - 
  (201549760*f[a[1]^2*a[2]^2]*f[a[3]]*f[a[5]])/387420489 - 
  (327680*f[a[1]]*f[a[1]*a[3]]*f[a[5]])/1594323 + 
  (573440*f[a[1]^3]*f[a[1]*a[3]]*f[a[5]])/14348907 + 
  (4096000*f[a[1]^5]*f[a[1]*a[3]]*f[a[5]])/129140163 + 
  (227409920*f[a[1]*a[2]^2]*f[a[1]*a[3]]*f[a[5]])/129140163 + 
  (20316160*f[a[3]]*f[a[1]*a[3]]*f[a[5]])/43046721 + 
  (245920*f[1]*f[a[1]^2*a[3]]*f[a[5]])/1594323 - 
  (1146400*f[a[1]^2]*f[a[1]^2*a[3]]*f[a[5]])/4782969 + 
  (1069280*f[a[1]^4]*f[a[1]^2*a[3]]*f[a[5]])/14348907 + 
  (1550108000*f[a[1]^6]*f[a[1]^2*a[3]]*f[a[5]])/10460353203 + 
  (9494080*f[a[2]^2]*f[a[1]^2*a[3]]*f[a[5]])/43046721 + 
  (67802653760*f[a[1]^2*a[2]^2]*f[a[1]^2*a[3]]*f[a[5]])/31381059609 + 
  (62013440*f[a[1]*a[3]]*f[a[1]^2*a[3]]*f[a[5]])/129140163 + 
  (3768320*f[a[1]]*f[a[1]^3*a[3]]*f[a[5]])/14348907 - 
  (58081280*f[a[1]^3]*f[a[1]^3*a[3]]*f[a[5]])/129140163 + 
  (1846476800*f[a[1]^5]*f[a[1]^3*a[3]]*f[a[5]])/10460353203 + 
  (3731947520*f[a[1]*a[2]^2]*f[a[1]^3*a[3]]*f[a[5]])/10460353203 - 
  (107970560*f[a[3]]*f[a[1]^3*a[3]]*f[a[5]])/387420489 + 
  (7949926400*f[a[1]^2*a[3]]*f[a[1]^3*a[3]]*f[a[5]])/10460353203 - 
  (4833280*f[a[2]]*f[a[2]*a[3]]*f[a[5]])/4782969 + 
  (47595520*f[a[1]^2*a[2]]*f[a[2]*a[3]]*f[a[5]])/387420489 - 
  (113459200*f[a[1]^4*a[2]]*f[a[2]*a[3]]*f[a[5]])/3486784401 - 
  (3585966080*f[a[2]^3]*f[a[2]*a[3]]*f[a[5]])/387420489 - 
  (273940480*f[a[1]*a[2]]*f[a[1]*a[2]*a[3]]*f[a[5]])/387420489 + 
  (3186360320*f[a[1]^3*a[2]]*f[a[1]*a[2]*a[3]]*f[a[5]])/10460353203 - 
  (20611072000*f[a[2]*a[3]]*f[a[1]*a[2]*a[3]]*f[a[5]])/10460353203 + 
  (308320*f[a[1]]*f[a[3]^2]*f[a[5]])/43046721 + 
  (1653280*f[a[1]^3]*f[a[3]^2]*f[a[5]])/387420489 - 
  (121204000*f[a[1]^5]*f[a[3]^2]*f[a[5]])/10460353203 - 
  (50966080*f[a[1]*a[2]^2]*f[a[3]^2]*f[a[5]])/10460353203 - 
  (7520*f[a[3]]*f[a[3]^2]*f[a[5]])/6561 + 
  (278594720*f[a[1]^2*a[3]]*f[a[3]^2]*f[a[5]])/3486784401 + 
  (50790400*f[a[1]*a[2]]*f[a[4]]*f[a[5]])/129140163 - 
  (253952000*f[a[1]^3*a[2]]*f[a[4]]*f[a[5]])/1162261467 - 
  (802488320*f[a[2]*a[3]]*f[a[4]]*f[a[5]])/387420489 + 
  (501678080*f[a[2]]*f[a[1]*a[4]]*f[a[5]])/129140163 - 
  (678625280*f[a[1]^2*a[2]]*f[a[1]*a[4]]*f[a[5]])/3486784401 - 
  (1918566400*f[a[1]^4*a[2]]*f[a[1]*a[4]]*f[a[5]])/10460353203 + 
  (15811870720*f[a[2]^3]*f[a[1]*a[4]]*f[a[5]])/10460353203 - 
  (3266314240*f[a[1]*a[2]*a[3]]*f[a[1]*a[4]]*f[a[5]])/3486784401 - 
  (918814720*f[a[4]]*f[a[1]*a[4]]*f[a[5]])/387420489 + 
  (16004218880*f[a[1]*a[2]]*f[a[1]^2*a[4]]*f[a[5]])/3486784401 - 
  (47473295360*f[a[1]^3*a[2]]*f[a[1]^2*a[4]]*f[a[5]])/31381059609 - 
  (14035517440*f[a[2]*a[3]]*f[a[1]^2*a[4]]*f[a[5]])/31381059609 - 
  (25080627200*f[a[1]*a[4]]*f[a[1]^2*a[4]]*f[a[5]])/10460353203 - 
  (184156160*f[a[1]]*f[a[2]*a[4]]*f[a[5]])/43046721 + 
  (852623360*f[a[1]^3]*f[a[2]*a[4]]*f[a[5]])/387420489 - 
  (2179072000*f[a[1]^5]*f[a[2]*a[4]]*f[a[5]])/1162261467 - 
  (43137105920*f[a[1]*a[2]^2]*f[a[2]*a[4]]*f[a[5]])/31381059609 - 
  (1687552000*f[a[3]]*f[a[2]*a[4]]*f[a[5]])/387420489 - 
  (291635200*f[a[1]^2*a[3]]*f[a[2]*a[4]]*f[a[5]])/10460353203 + 
  (4088720*f[1]*f[a[5]]^2)/531441 - 
  (181829200*f[a[1]^2]*f[a[5]]^2)/129140163 + 
  (898330000*f[a[1]^4]*f[a[5]]^2)/1162261467 - 
  (7395950000*f[a[1]^6]*f[a[5]]^2)/10460353203 + 
  (31964320*f[a[2]^2]*f[a[5]]^2)/129140163 - 
  (1382151200*f[a[1]^2*a[2]^2]*f[a[5]]^2)/31381059609 + 
  (384696320*f[a[1]*a[3]]*f[a[5]]^2)/387420489 - 
  (5701222400*f[a[1]^3*a[3]]*f[a[5]]^2)/10460353203 - 
  (3566401360*f[a[3]^2]*f[a[5]]^2)/3486784401 + 
  (707461120*f[a[2]*a[4]]*f[a[5]]^2)/387420489 - 
  (2080*f[1]^2*f[a[1]*a[5]])/6561 + 
  (29120*f[1]*f[a[1]^2]*f[a[1]*a[5]])/59049 + 
  (226720*f[a[1]^2]^2*f[a[1]*a[5]])/1594323 + 
  (1064960*f[a[1]]*f[a[1]^3]*f[a[1]*a[5]])/1594323 + 
  (18104320*f[a[1]^3]^2*f[a[1]*a[5]])/43046721 - 
  (769600*f[1]*f[a[1]^4]*f[a[1]*a[5]])/1594323 + 
  (52370240*f[a[1]^2]*f[a[1]^4]*f[a[1]*a[5]])/43046721 + 
  (497500640*f[a[1]^4]^2*f[a[1]*a[5]])/387420489 - 
  (53248000*f[a[1]]*f[a[1]^5]*f[a[1]*a[5]])/43046721 + 
  (1080934400*f[a[1]^3]*f[a[1]^5]*f[a[1]*a[5]])/387420489 + 
  (15729459200*f[a[1]^5]^2*f[a[1]*a[5]])/3486784401 + 
  (27560000*f[1]*f[a[1]^6]*f[a[1]*a[5]])/43046721 - 
  (1497496000*f[a[1]^2]*f[a[1]^6]*f[a[1]*a[5]])/387420489 + 
  (26900036800*f[a[1]^4]*f[a[1]^6]*f[a[1]*a[5]])/3486784401 + 
  (1741001444000*f[a[1]^6]^2*f[a[1]*a[5]])/94143178827 + 
  (1884160*f[a[2]]^2*f[a[1]*a[5]])/1594323 + 
  (17039360*f[a[1]*a[2]]^2*f[a[1]*a[5]])/129140163 - 
  (220364800*f[a[2]]*f[a[1]^2*a[2]]*f[a[1]*a[5]])/129140163 - 
  (154255360*f[a[1]^2*a[2]]^2*f[a[1]*a[5]])/387420489 - 
  (3064463360*f[a[1]*a[2]]*f[a[1]^3*a[2]]*f[a[1]*a[5]])/1162261467 - 
  (15973744640*f[a[1]^3*a[2]]^2*f[a[1]*a[5]])/10460353203 + 
  (1921024000*f[a[2]]*f[a[1]^4*a[2]]*f[a[1]*a[5]])/1162261467 - 
  (169393684480*f[a[1]^2*a[2]]*f[a[1]^4*a[2]]*f[a[1]*a[5]])/
   31381059609 - (4498375393280*f[a[1]^4*a[2]]^2*f[a[1]*a[5]])/
   847288609443 - (2811520*f[1]*f[a[2]^2]*f[a[1]*a[5]])/1594323 + 
  (238729600*f[a[1]^2]*f[a[2]^2]*f[a[1]*a[5]])/129140163 - 
  (1085912960*f[a[1]^4]*f[a[2]^2]*f[a[1]*a[5]])/1162261467 - 
  (936176000*f[a[1]^6]*f[a[2]^2]*f[a[1]*a[5]])/10460353203 - 
  (192049280*f[a[2]^2]^2*f[a[1]*a[5]])/43046721 - 
  (17039360*f[a[1]]*f[a[1]*a[2]^2]*f[a[1]*a[5]])/129140163 + 
  (1258455040*f[a[1]^3]*f[a[1]*a[2]^2]*f[a[1]*a[5]])/387420489 - 
  (99396812800*f[a[1]^5]*f[a[1]*a[2]^2]*f[a[1]*a[5]])/31381059609 - 
  (4448583680*f[a[1]*a[2]^2]^2*f[a[1]*a[5]])/3486784401 + 
  (1754240*f[1]*f[a[1]^2*a[2]^2]*f[a[1]*a[5]])/4782969 + 
  (851209600*f[a[1]^2]*f[a[1]^2*a[2]^2]*f[a[1]*a[5]])/1162261467 + 
  (238894386560*f[a[1]^4]*f[a[1]^2*a[2]^2]*f[a[1]*a[5]])/31381059609 - 
  (389966902400*f[a[1]^6]*f[a[1]^2*a[2]^2]*f[a[1]*a[5]])/31381059609 + 
  (58805853440*f[a[2]^2]*f[a[1]^2*a[2]^2]*f[a[1]*a[5]])/10460353203 + 
  (481656172160*f[a[1]^2*a[2]^2]^2*f[a[1]*a[5]])/847288609443 + 
  (790036480*f[a[2]]*f[a[2]^3]*f[a[1]*a[5]])/129140163 - 
  (1590886400*f[a[1]^2*a[2]]*f[a[2]^3]*f[a[1]*a[5]])/387420489 - 
  (1026812477440*f[a[1]^4*a[2]]*f[a[2]^3]*f[a[1]*a[5]])/847288609443 + 
  (659097190400*f[a[2]^3]^2*f[a[1]*a[5]])/31381059609 - 
  (327680*f[a[1]]*f[a[3]]*f[a[1]*a[5]])/1594323 + 
  (573440*f[a[1]^3]*f[a[3]]*f[a[1]*a[5]])/14348907 + 
  (4096000*f[a[1]^5]*f[a[3]]*f[a[1]*a[5]])/129140163 + 
  (598343680*f[a[1]*a[2]^2]*f[a[3]]*f[a[1]*a[5]])/387420489 - 
  (20316160*f[a[3]]^2*f[a[1]*a[5]])/43046721 - 
  (527360*f[1]*f[a[1]*a[3]]*f[a[1]*a[5]])/1594323 - 
  (2616320*f[a[1]^2]*f[a[1]*a[3]]*f[a[1]*a[5]])/14348907 + 
  (7838720*f[a[1]^4]*f[a[1]*a[3]]*f[a[1]*a[5]])/129140163 + 
  (1509248000*f[a[1]^6]*f[a[1]*a[3]]*f[a[1]*a[5]])/10460353203 + 
  (103782400*f[a[2]^2]*f[a[1]*a[3]]*f[a[1]*a[5]])/129140163 + 
  (57342576640*f[a[1]^2*a[2]^2]*f[a[1]*a[3]]*f[a[1]*a[5]])/
   31381059609 - (1064960*f[a[1]*a[3]]^2*f[a[1]*a[5]])/129140163 - 
  (4014080*f[a[1]]*f[a[1]^2*a[3]]*f[a[1]*a[5]])/14348907 - 
  (34078720*f[a[1]^3]*f[a[1]^2*a[3]]*f[a[1]*a[5]])/129140163 + 
  (1164492800*f[a[1]^5]*f[a[1]^2*a[3]]*f[a[1]*a[5]])/10460353203 + 
  (38443909120*f[a[1]*a[2]^2]*f[a[1]^2*a[3]]*f[a[1]*a[5]])/
   31381059609 + (287621120*f[a[3]]*f[a[1]^2*a[3]]*f[a[1]*a[5]])/
   387420489 + (2096250880*f[a[1]^2*a[3]]^2*f[a[1]*a[5]])/10460353203 + 
  (4766720*f[1]*f[a[1]^3*a[3]]*f[a[1]*a[5]])/14348907 - 
  (46392320*f[a[1]^2]*f[a[1]^3*a[3]]*f[a[1]*a[5]])/129140163 - 
  (5897251840*f[a[1]^4]*f[a[1]^3*a[3]]*f[a[1]*a[5]])/10460353203 + 
  (7386803200*f[a[1]^6]*f[a[1]^3*a[3]]*f[a[1]*a[5]])/31381059609 + 
  (243292160*f[a[2]^2]*f[a[1]^3*a[3]]*f[a[1]*a[5]])/387420489 + 
  (77363599360*f[a[1]^2*a[2]^2]*f[a[1]^3*a[3]]*f[a[1]*a[5]])/
   31381059609 + (10702192640*f[a[1]*a[3]]*f[a[1]^3*a[3]]*
     f[a[1]*a[5]])/10460353203 + 
  (173045923840*f[a[1]^3*a[3]]^2*f[a[1]*a[5]])/282429536481 - 
  (18350080*f[a[1]*a[2]]*f[a[2]*a[3]]*f[a[1]*a[5]])/43046721 + 
  (1009254400*f[a[1]^3*a[2]]*f[a[2]*a[3]]*f[a[1]*a[5]])/10460353203 + 
  (20611072000*f[a[2]*a[3]]^2*f[a[1]*a[5]])/10460353203 - 
  (69468160*f[a[2]]*f[a[1]*a[2]*a[3]]*f[a[1]*a[5]])/387420489 - 
  (20306984960*f[a[1]^2*a[2]]*f[a[1]*a[2]*a[3]]*f[a[1]*a[5]])/
   31381059609 + (131775856640*f[a[1]^4*a[2]]*f[a[1]*a[2]*a[3]]*
     f[a[1]*a[5]])/282429536481 + 
  (8569487360*f[a[2]^3]*f[a[1]*a[2]*a[3]]*f[a[1]*a[5]])/10460353203 + 
  (192476610560*f[a[1]*a[2]*a[3]]^2*f[a[1]*a[5]])/847288609443 + 
  (5880640*f[1]*f[a[3]^2]*f[a[1]*a[5]])/43046721 - 
  (6512320*f[a[1]^2]*f[a[3]^2]*f[a[1]*a[5]])/387420489 + 
  (252825920*f[a[1]^4]*f[a[3]^2]*f[a[1]*a[5]])/10460353203 - 
  (15310984000*f[a[1]^6]*f[a[3]^2]*f[a[1]*a[5]])/282429536481 - 
  (3449207680*f[a[2]^2]*f[a[3]^2]*f[a[1]*a[5]])/10460353203 + 
  (9273516160*f[a[1]^2*a[2]^2]*f[a[3]^2]*f[a[1]*a[5]])/94143178827 - 
  (2090470400*f[a[1]*a[3]]*f[a[3]^2]*f[a[1]*a[5]])/3486784401 + 
  (3051535360*f[a[1]^3*a[3]]*f[a[3]^2]*f[a[1]*a[5]])/31381059609 - 
  (133112228960*f[a[3]^2]^2*f[a[1]*a[5]])/94143178827 - 
  (184156160*f[a[2]]*f[a[4]]*f[a[1]*a[5]])/43046721 + 
  (4183162880*f[a[1]^2*a[2]]*f[a[4]]*f[a[1]*a[5]])/3486784401 - 
  (28019916800*f[a[1]^4*a[2]]*f[a[4]]*f[a[1]*a[5]])/31381059609 - 
  (5710807040*f[a[2]^3]*f[a[4]]*f[a[1]*a[5]])/3486784401 - 
  (50892636160*f[a[1]*a[2]*a[3]]*f[a[4]]*f[a[1]*a[5]])/31381059609 + 
  (918814720*f[a[4]]^2*f[a[1]*a[5]])/387420489 - 
  (136314880*f[a[1]*a[2]]*f[a[1]*a[4]]*f[a[1]*a[5]])/1162261467 + 
  (28049408000*f[a[1]^3*a[2]]*f[a[1]*a[4]]*f[a[1]*a[5]])/31381059609 - 
  (21569208320*f[a[2]*a[3]]*f[a[1]*a[4]]*f[a[1]*a[5]])/31381059609 + 
  (272629760*f[a[1]*a[4]]^2*f[a[1]*a[5]])/10460353203 + 
  (18611568640*f[a[2]]*f[a[1]^2*a[4]]*f[a[1]*a[5]])/3486784401 + 
  (18846187520*f[a[1]^2*a[2]]*f[a[1]^2*a[4]]*f[a[1]*a[5]])/
   10460353203 - (287766609920*f[a[1]^4*a[2]]*f[a[1]^2*a[4]]*
     f[a[1]*a[5]])/847288609443 - 
  (2801741332480*f[a[2]^3]*f[a[1]^2*a[4]]*f[a[1]*a[5]])/847288609443 - 
  (185907281920*f[a[1]*a[2]*a[3]]*f[a[1]^2*a[4]]*f[a[1]*a[5]])/
   282429536481 - (38317588480*f[a[4]]*f[a[1]^2*a[4]]*f[a[1]*a[5]])/
   10460353203 - (97697136640*f[a[1]^2*a[4]]^2*f[a[1]*a[5]])/
   94143178827 + (556728320*f[1]*f[a[2]*a[4]]*f[a[1]*a[5]])/129140163 - 
  (19644743680*f[a[1]^2]*f[a[2]*a[4]]*f[a[1]*a[5]])/3486784401 + 
  (169443000320*f[a[1]^4]*f[a[2]*a[4]]*f[a[1]*a[5]])/31381059609 - 
  (5689401344000*f[a[1]^6]*f[a[2]*a[4]]*f[a[1]*a[5]])/847288609443 + 
  (308411760640*f[a[2]^2]*f[a[2]*a[4]]*f[a[1]*a[5]])/31381059609 - 
  (7557323816960*f[a[1]^2*a[2]^2]*f[a[2]*a[4]]*f[a[1]*a[5]])/
   2541865828329 - (66993520640*f[a[1]*a[3]]*f[a[2]*a[4]]*
     f[a[1]*a[5]])/31381059609 - 
  (54599352320*f[a[1]^3*a[3]]*f[a[2]*a[4]]*f[a[1]*a[5]])/282429536481 - 
  (686657044480*f[a[3]^2]*f[a[2]*a[4]]*f[a[1]*a[5]])/847288609443 - 
  (12480570982400*f[a[2]*a[4]]^2*f[a[1]*a[5]])/2541865828329 + 
  (1175388160*f[a[1]]*f[a[5]]*f[a[1]*a[5]])/129140163 - 
  (5807718400*f[a[1]^3]*f[a[5]]*f[a[1]*a[5]])/1162261467 + 
  (47820800000*f[a[1]^5]*f[a[5]]*f[a[1]*a[5]])/10460353203 + 
  (9149480960*f[a[1]*a[2]^2]*f[a[5]]*f[a[1]*a[5]])/31381059609 - 
  (384696320*f[a[3]]*f[a[5]]*f[a[1]*a[5]])/387420489 + 
  (26474823680*f[a[1]^2*a[3]]*f[a[5]]*f[a[1]*a[5]])/10460353203 + 
  (594183680*f[1]*f[a[1]*a[5]]^2)/129140163 + 
  (5278430720*f[a[1]^2]*f[a[1]*a[5]]^2)/1162261467 - 
  (18999155200*f[a[1]^4]*f[a[1]*a[5]]^2)/3486784401 + 
  (6514830400000*f[a[1]^6]*f[a[1]*a[5]]^2)/847288609443 - 
  (87306429440*f[a[2]^2]*f[a[1]*a[5]]^2)/31381059609 + 
  (1731050593280*f[a[1]^2*a[2]^2]*f[a[1]*a[5]]^2)/2541865828329 + 
  (69222400*f[a[1]*a[3]]*f[a[1]*a[5]]^2)/10460353203 + 
  (587640094720*f[a[1]^3*a[3]]*f[a[1]*a[5]]^2)/282429536481 - 
  (464121064960*f[a[3]^2]*f[a[1]*a[5]]^2)/847288609443 + 
  (4646560071680*f[a[2]*a[4]]*f[a[1]*a[5]]^2)/2541865828329 - 
  (4499456000*f[a[1]*a[5]]^3)/2541865828329 - 
  (5632*f[1]*f[a[2]]*f[a[6]])/19683 - 
  (381440*f[a[1]^2]*f[a[2]]*f[a[6]])/531441 + 
  (1318400*f[a[1]^4]*f[a[2]]*f[a[6]])/1594323 - 
  (150080000*f[a[1]^6]*f[a[2]]*f[a[6]])/129140163 + 
  (114688*f[a[1]]*f[a[1]*a[2]]*f[a[6]])/531441 - 
  (2375680*f[a[1]^3]*f[a[1]*a[2]]*f[a[6]])/1594323 + 
  (342016000*f[a[1]^5]*f[a[1]*a[2]]*f[a[6]])/129140163 + 
  (28160*f[1]*f[a[1]^2*a[2]]*f[a[6]])/531441 + 
  (12130816*f[a[1]^2]*f[a[1]^2*a[2]]*f[a[6]])/14348907 - 
  (541442560*f[a[1]^4]*f[a[1]^2*a[2]]*f[a[6]])/129140163 + 
  (36041536000*f[a[1]^6]*f[a[1]^2*a[2]]*f[a[6]])/3486784401 - 
  (573440*f[a[1]]*f[a[1]^3*a[2]]*f[a[6]])/4782969 + 
  (375341056*f[a[1]^3]*f[a[1]^3*a[2]]*f[a[6]])/129140163 - 
  (52106444800*f[a[1]^5]*f[a[1]^3*a[2]]*f[a[6]])/3486784401 - 
  (140800*f[1]*f[a[1]^4*a[2]]*f[a[6]])/4782969 - 
  (111772160*f[a[1]^2]*f[a[1]^4*a[2]]*f[a[6]])/129140163 + 
  (39837392384*f[a[1]^4]*f[a[1]^4*a[2]]*f[a[6]])/3486784401 - 
  (2027674073600*f[a[1]^6]*f[a[1]^4*a[2]]*f[a[6]])/31381059609 + 
  (11264*f[a[2]]*f[a[2]^2]*f[a[6]])/19683 + 
  (541950976*f[a[1]^2*a[2]]*f[a[2]^2]*f[a[6]])/387420489 - 
  (5624796160*f[a[1]^4*a[2]]*f[a[2]^2]*f[a[6]])/3486784401 - 
  (121077760*f[a[1]*a[2]]*f[a[1]*a[2]^2]*f[a[6]])/387420489 + 
  (11611242496*f[a[1]^3*a[2]]*f[a[1]*a[2]^2]*f[a[6]])/3486784401 - 
  (24335360*f[a[2]]*f[a[1]^2*a[2]^2]*f[a[6]])/129140163 - 
  (17858696192*f[a[1]^2*a[2]]*f[a[1]^2*a[2]^2]*f[a[6]])/10460353203 + 
  (992160932864*f[a[1]^4*a[2]]*f[a[1]^2*a[2]^2]*f[a[6]])/94143178827 - 
  (146432*f[1]*f[a[2]^3]*f[a[6]])/1594323 - 
  (75889664*f[a[1]^2]*f[a[2]^3]*f[a[6]])/129140163 - 
  (4401249280*f[a[1]^4]*f[a[2]^3]*f[a[6]])/3486784401 + 
  (138764416000*f[a[1]^6]*f[a[2]^3]*f[a[6]])/31381059609 - 
  (667031552*f[a[2]^2]*f[a[2]^3]*f[a[6]])/387420489 - 
  (43154573312*f[a[1]^2*a[2]^2]*f[a[2]^3]*f[a[6]])/10460353203 + 
  (3162112*f[a[1]*a[2]]*f[a[3]]*f[a[6]])/4782969 - 
  (15810560*f[a[1]^3*a[2]]*f[a[3]]*f[a[6]])/43046721 + 
  (22773760*f[a[2]]*f[a[1]*a[3]]*f[a[6]])/43046721 + 
  (737837056*f[a[1]^2*a[2]]*f[a[1]*a[3]]*f[a[6]])/1162261467 - 
  (7947714560*f[a[1]^4*a[2]]*f[a[1]*a[3]]*f[a[6]])/10460353203 - 
  (1484062720*f[a[2]^3]*f[a[1]*a[3]]*f[a[6]])/3486784401 + 
  (763412480*f[a[1]*a[2]]*f[a[1]^2*a[3]]*f[a[6]])/1162261467 + 
  (8866512896*f[a[1]^3*a[2]]*f[a[1]^2*a[3]]*f[a[6]])/10460353203 - 
  (231833600*f[a[2]]*f[a[1]^3*a[3]]*f[a[6]])/387420489 + 
  (4741038080*f[a[1]^2*a[2]]*f[a[1]^3*a[3]]*f[a[6]])/3486784401 + 
  (114014978048*f[a[1]^4*a[2]]*f[a[1]^3*a[3]]*f[a[6]])/94143178827 - 
  (253818241024*f[a[2]^3]*f[a[1]^3*a[3]]*f[a[6]])/282429536481 - 
  (51232768*f[a[1]]*f[a[2]*a[3]]*f[a[6]])/43046721 + 
  (315146240*f[a[1]^3]*f[a[2]*a[3]]*f[a[6]])/387420489 - 
  (9353216000*f[a[1]^5]*f[a[2]*a[3]]*f[a[6]])/10460353203 - 
  (13826883584*f[a[1]*a[2]^2]*f[a[2]*a[3]]*f[a[6]])/10460353203 - 
  (106053632*f[a[3]]*f[a[2]*a[3]]*f[a[6]])/43046721 - 
  (1325449216*f[a[1]^2*a[3]]*f[a[2]*a[3]]*f[a[6]])/1162261467 - 
  (180224*f[1]*f[a[1]*a[2]*a[3]]*f[a[6]])/4782969 - 
  (1808285696*f[a[1]^2]*f[a[1]*a[2]*a[3]]*f[a[6]])/1162261467 + 
  (21898280960*f[a[1]^4]*f[a[1]*a[2]*a[3]]*f[a[6]])/10460353203 - 
  (321083392000*f[a[1]^6]*f[a[1]*a[2]*a[3]]*f[a[6]])/94143178827 - 
  (13778518016*f[a[2]^2]*f[a[1]*a[2]*a[3]]*f[a[6]])/10460353203 - 
  (167797817344*f[a[1]^2*a[2]^2]*f[a[1]*a[2]*a[3]]*f[a[6]])/
   94143178827 - (871628800*f[a[1]*a[3]]*f[a[1]*a[2]*a[3]]*f[a[6]])/
   1162261467 - (26067337216*f[a[1]^3*a[3]]*f[a[1]*a[2]*a[3]]*f[a[6]])/
   10460353203 + (175155712*f[a[2]]*f[a[3]^2]*f[a[6]])/43046721 - 
  (1075270144*f[a[1]^2*a[2]]*f[a[3]^2]*f[a[6]])/1162261467 + 
  (708200960*f[a[1]^4*a[2]]*f[a[3]^2]*f[a[6]])/1162261467 + 
  (1093747712*f[a[2]^3]*f[a[3]^2]*f[a[6]])/3486784401 + 
  (30068523008*f[a[1]*a[2]*a[3]]*f[a[3]^2]*f[a[6]])/10460353203 + 
  (182272*f[1]*f[a[4]]*f[a[6]])/531441 + 
  (4003840*f[a[1]^2]*f[a[4]]*f[a[6]])/14348907 - 
  (44595200*f[a[1]^4]*f[a[4]]*f[a[6]])/129140163 + 
  (1729280000*f[a[1]^6]*f[a[4]]*f[a[6]])/3486784401 + 
  (2682880*f[a[2]^2]*f[a[4]]*f[a[6]])/387420489 + 
  (369971200*f[a[1]^2*a[2]^2]*f[a[4]]*f[a[6]])/10460353203 - 
  (551944192*f[a[1]*a[3]]*f[a[4]]*f[a[6]])/387420489 + 
  (3231580160*f[a[1]^3*a[3]]*f[a[4]]*f[a[6]])/3486784401 + 
  (749570048*f[a[3]^2]*f[a[4]]*f[a[6]])/129140163 + 
  (458752*f[a[1]]*f[a[1]*a[4]]*f[a[6]])/14348907 + 
  (76349440*f[a[1]^3]*f[a[1]*a[4]]*f[a[6]])/129140163 - 
  (3874816000*f[a[1]^5]*f[a[1]*a[4]]*f[a[6]])/3486784401 - 
  (282984448*f[a[1]*a[2]^2]*f[a[1]*a[4]]*f[a[6]])/10460353203 + 
  (117506048*f[a[3]]*f[a[1]*a[4]]*f[a[6]])/129140163 - 
  (20132593664*f[a[1]^2*a[3]]*f[a[1]*a[4]]*f[a[6]])/10460353203 - 
  (911360*f[1]*f[a[1]^2*a[4]]*f[a[6]])/14348907 - 
  (27994112*f[a[1]^2]*f[a[1]^2*a[4]]*f[a[6]])/129140163 + 
  (5895772160*f[a[1]^4]*f[a[1]^2*a[4]]*f[a[6]])/3486784401 - 
  (410119936000*f[a[1]^6]*f[a[1]^2*a[4]]*f[a[6]])/94143178827 + 
  (640897024*f[a[2]^2]*f[a[1]^2*a[4]]*f[a[6]])/10460353203 + 
  (15659266048*f[a[1]^2*a[2]^2]*f[a[1]^2*a[4]]*f[a[6]])/282429536481 + 
  (14276231168*f[a[1]*a[3]]*f[a[1]^2*a[4]]*f[a[6]])/10460353203 - 
  (126328373248*f[a[1]^3*a[3]]*f[a[1]^2*a[4]]*f[a[6]])/31381059609 - 
  (41344362496*f[a[3]^2]*f[a[1]^2*a[4]]*f[a[6]])/31381059609 - 
  (134217728*f[a[2]]*f[a[2]*a[4]]*f[a[6]])/387420489 - 
  (989855744*f[a[1]^2*a[2]]*f[a[2]*a[4]]*f[a[6]])/3486784401 + 
  (33051115520*f[a[1]^4*a[2]]*f[a[2]*a[4]]*f[a[6]])/94143178827 - 
  (536870912*f[a[2]^3]*f[a[2]*a[4]]*f[a[6]])/31381059609 + 
  (1213613473792*f[a[1]*a[2]*a[3]]*f[a[2]*a[4]]*f[a[6]])/847288609443 + 
  (5972688896*f[a[4]]*f[a[2]*a[4]]*f[a[6]])/10460353203 + 
  (405203320832*f[a[1]^2*a[4]]*f[a[2]*a[4]]*f[a[6]])/282429536481 - 
  (107233280*f[a[1]*a[2]]*f[a[5]]*f[a[6]])/387420489 + 
  (536166400*f[a[1]^3*a[2]]*f[a[5]]*f[a[6]])/3486784401 + 
  (2925936640*f[a[2]*a[3]]*f[a[5]]*f[a[6]])/3486784401 + 
  (469565440*f[a[1]*a[4]]*f[a[5]]*f[a[6]])/387420489 - 
  (1735884800*f[a[2]]*f[a[1]*a[5]]*f[a[6]])/387420489 + 
  (5673943040*f[a[1]^2*a[2]]*f[a[1]*a[5]]*f[a[6]])/10460353203 - 
  (4447436800*f[a[1]^4*a[2]]*f[a[1]*a[5]]*f[a[6]])/31381059609 - 
  (37520343040*f[a[2]^3]*f[a[1]*a[5]]*f[a[6]])/31381059609 - 
  (138075176960*f[a[1]*a[2]*a[3]]*f[a[1]*a[5]]*f[a[6]])/847288609443 + 
  (9319874560*f[a[4]]*f[a[1]*a[5]]*f[a[6]])/10460353203 + 
  (353993359360*f[a[1]^2*a[4]]*f[a[1]*a[5]]*f[a[6]])/282429536481 - 
  (131689216*f[1]*f[a[6]]^2)/14348907 + 
  (612366080*f[a[1]^2]*f[a[6]]^2)/387420489 - 
  (2831430400*f[a[1]^4]*f[a[6]]^2)/3486784401 + 
  (65025760000*f[a[1]^6]*f[a[6]]^2)/94143178827 - 
  (3376340480*f[a[2]^2]*f[a[6]]^2)/3486784401 + 
  (15683622400*f[a[1]^2*a[2]^2]*f[a[6]]^2)/94143178827 - 
  (2912960512*f[a[1]*a[3]]*f[a[6]]^2)/3486784401 + 
  (13090242560*f[a[1]^3*a[3]]*f[a[6]]^2)/31381059609 + 
  (22161300736*f[a[3]^2]*f[a[6]]^2)/282429536481 + 
  (265080012800*f[a[2]*a[4]]*f[a[6]]^2)/282429536481 - 
  (142105886720*f[a[1]*a[5]]*f[a[6]]^2)/282429536481 + 
  (11*f[1]^2*f[b[1]*c[1]])/9 + (176*f[a[1]]^2*f[b[1]*c[1]])/243 - 
  (110*f[1]*f[a[1]^2]*f[b[1]*c[1]])/243 + 
  (1969*f[a[1]^2]^2*f[b[1]*c[1]])/2187 - 
  (1760*f[a[1]]*f[a[1]^3]*f[b[1]*c[1]])/2187 + 
  (103312*f[a[1]^3]^2*f[b[1]*c[1]])/59049 + 
  (550*f[1]*f[a[1]^4]*f[b[1]*c[1]])/2187 - 
  (115390*f[a[1]^2]*f[a[1]^4]*f[b[1]*c[1]])/59049 + 
  (7477393*f[a[1]^4]^2*f[b[1]*c[1]])/1594323 + 
  (44000*f[a[1]]*f[a[1]^5]*f[b[1]*c[1]])/59049 - 
  (9671200*f[a[1]^3]*f[a[1]^5]*f[b[1]*c[1]])/1594323 + 
  (231634480*f[a[1]^5]^2*f[b[1]*c[1]])/14348907 - 
  (13750*f[1]*f[a[1]^6]*f[b[1]*c[1]])/59049 + 
  (4292750*f[a[1]^2]*f[a[1]^6]*f[b[1]*c[1]])/1594323 - 
  (36771350*f[a[1]^4]*f[a[1]^6]*f[b[1]*c[1]])/1594323 + 
  (8791228985*f[a[1]^6]^2*f[b[1]*c[1]])/129140163 - 
  (2816*f[a[2]]^2*f[b[1]*c[1]])/2187 - 
  (180224*f[a[1]*a[2]]^2*f[b[1]*c[1]])/177147 + 
  (28160*f[a[2]]*f[a[1]^2*a[2]]*f[b[1]*c[1]])/59049 - 
  (7420160*f[a[1]^2*a[2]]^2*f[b[1]*c[1]])/4782969 + 
  (1802240*f[a[1]*a[2]]*f[a[1]^3*a[2]]*f[b[1]*c[1]])/1594323 - 
  (50642944*f[a[1]^3*a[2]]^2*f[b[1]*c[1]])/14348907 - 
  (140800*f[a[2]]*f[a[1]^4*a[2]]*f[b[1]*c[1]])/531441 + 
  (146291200*f[a[1]^2*a[2]]*f[a[1]^4*a[2]]*f[b[1]*c[1]])/43046721 - 
  (12513293056*f[a[1]^4*a[2]]^2*f[b[1]*c[1]])/1162261467 + 
  (572*f[1]*f[a[2]^2]*f[b[1]*c[1]])/2187 + 
  (171644*f[a[1]^2]*f[a[2]^2]*f[b[1]*c[1]])/177147 - 
  (1759340*f[a[1]^4]*f[a[2]^2]*f[b[1]*c[1]])/1594323 + 
  (22170500*f[a[1]^6]*f[a[2]^2]*f[b[1]*c[1]])/14348907 + 
  (483076*f[a[2]^2]^2*f[b[1]*c[1]])/177147 + 
  (9152*f[a[1]]*f[a[1]*a[2]^2]*f[b[1]*c[1]])/59049 + 
  (2746304*f[a[1]^3]*f[a[1]*a[2]^2]*f[b[1]*c[1]])/1594323 - 
  (140747200*f[a[1]^5]*f[a[1]*a[2]^2]*f[b[1]*c[1]])/43046721 + 
  (115700288*f[a[1]*a[2]^2]^2*f[b[1]*c[1]])/43046721 - 
  (2860*f[1]*f[a[1]^2*a[2]^2]*f[b[1]*c[1]])/59049 + 
  (20372*f[a[1]^2]*f[a[1]^2*a[2]^2]*f[b[1]*c[1]])/4782969 + 
  (20506684*f[a[1]^4]*f[a[1]^2*a[2]^2]*f[b[1]*c[1]])/4782969 - 
  (1538254300*f[a[1]^6]*f[a[1]^2*a[2]^2]*f[b[1]*c[1]])/129140163 - 
  (38791016*f[a[2]^2]*f[a[1]^2*a[2]^2]*f[b[1]*c[1]])/43046721 + 
  (16530399116*f[a[1]^2*a[2]^2]^2*f[b[1]*c[1]])/3486784401 - 
  (146432*f[a[2]]*f[a[2]^3]*f[b[1]*c[1]])/177147 - 
  (43940864*f[a[1]^2*a[2]]*f[a[2]^3]*f[b[1]*c[1]])/14348907 + 
  (450391040*f[a[1]^4*a[2]]*f[a[2]^3]*f[b[1]*c[1]])/129140163 - 
  (374809600*f[a[2]^3]^2*f[b[1]*c[1]])/43046721 - 
  (352*f[a[1]]*f[a[3]]*f[b[1]*c[1]])/2187 + 
  (1760*f[a[1]^3]*f[a[3]]*f[b[1]*c[1]])/19683 - 
  (44000*f[a[1]^5]*f[a[3]]*f[b[1]*c[1]])/531441 - 
  (9152*f[a[1]*a[2]^2]*f[a[3]]*f[b[1]*c[1]])/531441 + 
  (113168*f[a[3]]^2*f[b[1]*c[1]])/59049 + 
  (704*f[1]*f[a[1]*a[3]]*f[b[1]*c[1]])/2187 - 
  (4928*f[a[1]^2]*f[a[1]*a[3]]*f[b[1]*c[1]])/19683 + 
  (130240*f[a[1]^4]*f[a[1]*a[3]]*f[b[1]*c[1]])/531441 - 
  (4664000*f[a[1]^6]*f[a[1]*a[3]]*f[b[1]*c[1]])/14348907 + 
  (919424*f[a[2]^2]*f[a[1]*a[3]]*f[b[1]*c[1]])/531441 - 
  (4889984*f[a[1]^2*a[2]^2]*f[a[1]*a[3]]*f[b[1]*c[1]])/14348907 + 
  (1852928*f[a[1]*a[3]]^2*f[b[1]*c[1]])/1594323 + 
  (8096*f[a[1]]*f[a[1]^2*a[3]]*f[b[1]*c[1]])/19683 - 
  (301664*f[a[1]^3]*f[a[1]^2*a[3]]*f[b[1]*c[1]])/531441 + 
  (12047200*f[a[1]^5]*f[a[1]^2*a[3]]*f[b[1]*c[1]])/14348907 + 
  (85518400*f[a[1]*a[2]^2]*f[a[1]^2*a[3]]*f[b[1]*c[1]])/43046721 - 
  (1199264*f[a[3]]*f[a[1]^2*a[3]]*f[b[1]*c[1]])/1594323 + 
  (21270832*f[a[1]^2*a[3]]^2*f[b[1]*c[1]])/14348907 - 
  (3520*f[1]*f[a[1]^3*a[3]]*f[b[1]*c[1]])/19683 + 
  (434368*f[a[1]^2]*f[a[1]^3*a[3]]*f[b[1]*c[1]])/531441 - 
  (24301376*f[a[1]^4]*f[a[1]^3*a[3]]*f[b[1]*c[1]])/14348907 + 
  (49649600*f[a[1]^6]*f[a[1]^3*a[3]]*f[b[1]*c[1]])/14348907 - 
  (8024192*f[a[2]^2]*f[a[1]^3*a[3]]*f[b[1]*c[1]])/14348907 + 
  (454824832*f[a[1]^2*a[2]^2]*f[a[1]^3*a[3]]*f[b[1]*c[1]])/129140163 - 
  (19610624*f[a[1]*a[3]]*f[a[1]^3*a[3]]*f[b[1]*c[1]])/14348907 + 
  (1147142656*f[a[1]^3*a[3]]^2*f[b[1]*c[1]])/387420489 - 
  (360448*f[a[1]*a[2]]*f[a[2]*a[3]]*f[b[1]*c[1]])/531441 + 
  (1802240*f[a[1]^3*a[2]]*f[a[2]*a[3]]*f[b[1]*c[1]])/4782969 - 
  (39108608*f[a[2]*a[3]]^2*f[b[1]*c[1]])/14348907 - 
  (180224*f[a[2]]*f[a[1]*a[2]*a[3]]*f[b[1]*c[1]])/531441 - 
  (29016064*f[a[1]^2*a[2]]*f[a[1]*a[2]*a[3]]*f[b[1]*c[1]])/43046721 + 
  (303677440*f[a[1]^4*a[2]]*f[a[1]*a[2]*a[3]]*f[b[1]*c[1]])/387420489 - 
  (235372544*f[a[2]^3]*f[a[1]*a[2]*a[3]]*f[b[1]*c[1]])/43046721 - 
  (2308308992*f[a[1]*a[2]*a[3]]^2*f[b[1]*c[1]])/1162261467 - 
  (19646*f[1]*f[a[3]^2]*f[b[1]*c[1]])/59049 + 
  (132022*f[a[1]^2]*f[a[3]^2]*f[b[1]*c[1]])/1594323 - 
  (829070*f[a[1]^4]*f[a[3]^2]*f[b[1]*c[1]])/14348907 + 
  (24950750*f[a[1]^6]*f[a[3]^2]*f[b[1]*c[1]])/387420489 + 
  (40039604*f[a[2]^2]*f[a[3]^2]*f[b[1]*c[1]])/14348907 - 
  (199319428*f[a[1]^2*a[2]^2]*f[a[3]^2]*f[b[1]*c[1]])/387420489 - 
  (2623808*f[a[1]*a[3]]*f[a[3]^2]*f[b[1]*c[1]])/4782969 + 
  (13479488*f[a[1]^3*a[3]]*f[a[3]^2]*f[b[1]*c[1]])/43046721 + 
  (779105569*f[a[3]^2]^2*f[b[1]*c[1]])/129140163 + 
  (22528*f[a[2]]*f[a[4]]*f[b[1]*c[1]])/177147 - 
  (112640*f[a[1]^2*a[2]]*f[a[4]]*f[b[1]*c[1]])/4782969 + 
  (563200*f[a[1]^4*a[2]]*f[a[4]]*f[b[1]*c[1]])/43046721 + 
  (585728*f[a[2]^3]*f[a[4]]*f[b[1]*c[1]])/14348907 + 
  (720896*f[a[1]*a[2]*a[3]]*f[a[4]]*f[b[1]*c[1]])/43046721 - 
  (4009984*f[a[4]]^2*f[b[1]*c[1]])/1594323 + 
  (1441792*f[a[1]*a[2]]*f[a[1]*a[4]]*f[b[1]*c[1]])/4782969 - 
  (7208960*f[a[1]^3*a[2]]*f[a[1]*a[4]]*f[b[1]*c[1]])/43046721 - 
  (53346304*f[a[2]*a[3]]*f[a[1]*a[4]]*f[b[1]*c[1]])/43046721 - 
  (66322432*f[a[1]*a[4]]^2*f[b[1]*c[1]])/43046721 - 
  (112640*f[a[2]]*f[a[1]^2*a[4]]*f[b[1]*c[1]])/4782969 + 
  (9033728*f[a[1]^2*a[2]]*f[a[1]^2*a[4]]*f[b[1]*c[1]])/14348907 - 
  (810219520*f[a[1]^4*a[2]]*f[a[1]^2*a[4]]*f[b[1]*c[1]])/1162261467 + 
  (175763456*f[a[2]^3]*f[a[1]^2*a[4]]*f[b[1]*c[1]])/1162261467 - 
  (193921024*f[a[1]*a[2]*a[3]]*f[a[1]^2*a[4]]*f[b[1]*c[1]])/129140163 + 
  (40099840*f[a[4]]*f[a[1]^2*a[4]]*f[b[1]*c[1]])/43046721 - 
  (763924480*f[a[1]^2*a[4]]^2*f[b[1]*c[1]])/387420489 - 
  (45056*f[1]*f[a[2]*a[4]]*f[b[1]*c[1]])/177147 - 
  (1937408*f[a[1]^2]*f[a[2]*a[4]]*f[b[1]*c[1]])/4782969 + 
  (20500480*f[a[1]^4]*f[a[2]*a[4]]*f[b[1]*c[1]])/43046721 - 
  (782848000*f[a[1]^6]*f[a[2]*a[4]]*f[b[1]*c[1]])/1162261467 - 
  (4235264*f[a[2]^2]*f[a[2]*a[4]]*f[b[1]*c[1]])/14348907 + 
  (90112*f[a[1]^2*a[2]^2]*f[a[2]*a[4]]*f[b[1]*c[1]])/14348907 + 
  (35323904*f[a[1]*a[3]]*f[a[2]*a[4]]*f[b[1]*c[1]])/43046721 - 
  (245825536*f[a[1]^3*a[3]]*f[a[2]*a[4]]*f[b[1]*c[1]])/387420489 + 
  (4808962048*f[a[3]^2]*f[a[2]*a[4]]*f[b[1]*c[1]])/1162261467 + 
  (9296674816*f[a[2]*a[4]]^2*f[b[1]*c[1]])/3486784401 + 
  (22880*f[a[1]]*f[a[5]]*f[b[1]*c[1]])/177147 - 
  (114400*f[a[1]^3]*f[a[5]]*f[b[1]*c[1]])/1594323 + 
  (2860000*f[a[1]^5]*f[a[5]]*f[b[1]*c[1]])/43046721 + 
  (594880*f[a[1]*a[2]^2]*f[a[5]]*f[b[1]*c[1]])/43046721 - 
  (82720*f[a[3]]*f[a[5]]*f[b[1]*c[1]])/531441 + 
  (2705120*f[a[1]^2*a[3]]*f[a[5]]*f[b[1]*c[1]])/43046721 + 
  (44975920*f[a[5]]^2*f[b[1]*c[1]])/14348907 - 
  (45760*f[1]*f[a[1]*a[5]]*f[b[1]*c[1]])/177147 + 
  (320320*f[a[1]^2]*f[a[1]*a[5]]*f[b[1]*c[1]])/1594323 - 
  (8465600*f[a[1]^4]*f[a[1]*a[5]]*f[b[1]*c[1]])/43046721 + 
  (303160000*f[a[1]^6]*f[a[1]*a[5]]*f[b[1]*c[1]])/1162261467 - 
  (30926720*f[a[2]^2]*f[a[1]*a[5]]*f[b[1]*c[1]])/43046721 + 
  (19296640*f[a[1]^2*a[2]^2]*f[a[1]*a[5]]*f[b[1]*c[1]])/129140163 - 
  (5800960*f[a[1]*a[3]]*f[a[1]*a[5]]*f[b[1]*c[1]])/43046721 + 
  (52433920*f[a[1]^3*a[3]]*f[a[1]*a[5]]*f[b[1]*c[1]])/387420489 + 
  (64687040*f[a[3]^2]*f[a[1]*a[5]]*f[b[1]*c[1]])/1162261467 + 
  (6124011520*f[a[2]*a[4]]*f[a[1]*a[5]]*f[b[1]*c[1]])/3486784401 + 
  (6536020480*f[a[1]*a[5]]^2*f[b[1]*c[1]])/3486784401 - 
  (61952*f[a[2]]*f[a[6]]*f[b[1]*c[1]])/531441 + 
  (309760*f[a[1]^2*a[2]]*f[a[6]]*f[b[1]*c[1]])/14348907 - 
  (1548800*f[a[1]^4*a[2]]*f[a[6]]*f[b[1]*c[1]])/129140163 - 
  (1610752*f[a[2]^3]*f[a[6]]*f[b[1]*c[1]])/43046721 - 
  (1982464*f[a[1]*a[2]*a[3]]*f[a[6]]*f[b[1]*c[1]])/129140163 + 
  (2004992*f[a[4]]*f[a[6]]*f[b[1]*c[1]])/14348907 - 
  (10024960*f[a[1]^2*a[4]]*f[a[6]]*f[b[1]*c[1]])/387420489 - 
  (1448581376*f[a[6]]^2*f[b[1]*c[1]])/387420489 + 
  (19*f[1]*f[b[1]*c[1]]^2)/81 - (95*f[a[1]^2]*f[b[1]*c[1]]^2)/2187 + 
  (475*f[a[1]^4]*f[b[1]*c[1]]^2)/19683 - 
  (11875*f[a[1]^6]*f[b[1]*c[1]]^2)/531441 + 
  (494*f[a[2]^2]*f[b[1]*c[1]]^2)/19683 - 
  (2470*f[a[1]^2*a[2]^2]*f[b[1]*c[1]]^2)/531441 + 
  (608*f[a[1]*a[3]]*f[b[1]*c[1]]^2)/19683 - 
  (3040*f[a[1]^3*a[3]]*f[b[1]*c[1]]^2)/177147 - 
  (16967*f[a[3]^2]*f[b[1]*c[1]]^2)/531441 - 
  (38912*f[a[2]*a[4]]*f[b[1]*c[1]]^2)/1594323 - 
  (39520*f[a[1]*a[5]]*f[b[1]*c[1]]^2)/1594323 + f[b[1]*c[1]]^3/81 + 
  (352*f[1]*f[a[1]]*f[a[1]*b[1]*c[1]])/243 + 
  (352*f[a[1]]*f[a[1]^2]*f[a[1]*b[1]*c[1]])/243 - 
  (1760*f[1]*f[a[1]^3]*f[a[1]*b[1]*c[1]])/2187 + 
  (132704*f[a[1]^2]*f[a[1]^3]*f[a[1]*b[1]*c[1]])/59049 - 
  (103840*f[a[1]]*f[a[1]^4]*f[a[1]*b[1]*c[1]])/59049 + 
  (7685216*f[a[1]^3]*f[a[1]^4]*f[a[1]*b[1]*c[1]])/1594323 + 
  (44000*f[1]*f[a[1]^5]*f[a[1]*b[1]*c[1]])/59049 - 
  (7823200*f[a[1]^2]*f[a[1]^5]*f[a[1]*b[1]*c[1]])/1594323 + 
  (192475360*f[a[1]^4]*f[a[1]^5]*f[a[1]*b[1]*c[1]])/14348907 + 
  (4004000*f[a[1]]*f[a[1]^6]*f[a[1]*b[1]*c[1]])/1594323 - 
  (80264800*f[a[1]^3]*f[a[1]^6]*f[a[1]*b[1]*c[1]])/4782969 + 
  (5999482720*f[a[1]^5]*f[a[1]^6]*f[a[1]*b[1]*c[1]])/129140163 - 
  (180224*f[a[2]]*f[a[1]*a[2]]*f[a[1]*b[1]*c[1]])/177147 - 
  (7749632*f[a[1]*a[2]]*f[a[1]^2*a[2]]*f[a[1]*b[1]*c[1]])/4782969 + 
  (901120*f[a[2]]*f[a[1]^3*a[2]]*f[a[1]*b[1]*c[1]])/1594323 - 
  (145801216*f[a[1]^2*a[2]]*f[a[1]^3*a[2]]*f[a[1]*b[1]*c[1]])/
   43046721 + (82001920*f[a[1]*a[2]]*f[a[1]^4*a[2]]*f[a[1]*b[1]*c[1]])/
   43046721 - (10457497600*f[a[1]^3*a[2]]*f[a[1]^4*a[2]]*
     f[a[1]*b[1]*c[1]])/1162261467 - 
  (152768*f[a[1]]*f[a[2]^2]*f[a[1]*b[1]*c[1]])/177147 + 
  (1215808*f[a[1]^3]*f[a[2]^2]*f[a[1]*b[1]*c[1]])/531441 - 
  (163275200*f[a[1]^5]*f[a[2]^2]*f[a[1]*b[1]*c[1]])/43046721 + 
  (9152*f[1]*f[a[1]*a[2]^2]*f[a[1]*b[1]*c[1]])/59049 - 
  (2142272*f[a[1]^2]*f[a[1]*a[2]^2]*f[a[1]*b[1]*c[1]])/4782969 + 
  (205285696*f[a[1]^4]*f[a[1]*a[2]^2]*f[a[1]*b[1]*c[1]])/43046721 - 
  (4870078400*f[a[1]^6]*f[a[1]*a[2]^2]*f[a[1]*b[1]*c[1]])/387420489 + 
  (42165376*f[a[2]^2]*f[a[1]*a[2]^2]*f[a[1]*b[1]*c[1]])/43046721 + 
  (1642432*f[a[1]]*f[a[1]^2*a[2]^2]*f[a[1]*b[1]*c[1]])/4782969 - 
  (317504*f[a[1]^3]*f[a[1]^2*a[2]^2]*f[a[1]*b[1]*c[1]])/1594323 + 
  (14987276480*f[a[1]^5]*f[a[1]^2*a[2]^2]*f[a[1]*b[1]*c[1]])/
   1162261467 + (11022290048*f[a[1]*a[2]^2]*f[a[1]^2*a[2]^2]*
     f[a[1]*b[1]*c[1]])/3486784401 + 
  (41451520*f[a[1]*a[2]]*f[a[2]^3]*f[a[1]*b[1]*c[1]])/14348907 - 
  (7770898432*f[a[1]^3*a[2]]*f[a[2]^3]*f[a[1]*b[1]*c[1]])/1162261467 - 
  (352*f[1]*f[a[3]]*f[a[1]*b[1]*c[1]])/2187 - 
  (352*f[a[1]^2]*f[a[3]]*f[a[1]*b[1]*c[1]])/2187 + 
  (103840*f[a[1]^4]*f[a[3]]*f[a[1]*b[1]*c[1]])/531441 - 
  (4004000*f[a[1]^6]*f[a[3]]*f[a[1]*b[1]*c[1]])/14348907 - 
  (303424*f[a[2]^2]*f[a[3]]*f[a[1]*b[1]*c[1]])/177147 + 
  (4258496*f[a[1]^2*a[2]^2]*f[a[3]]*f[a[1]*b[1]*c[1]])/14348907 - 
  (180224*f[a[1]^3]*f[a[1]*a[3]]*f[a[1]*b[1]*c[1]])/531441 + 
  (9011200*f[a[1]^5]*f[a[1]*a[3]]*f[a[1]*b[1]*c[1]])/14348907 + 
  (2883584*f[a[1]*a[2]^2]*f[a[1]*a[3]]*f[a[1]*b[1]*c[1]])/43046721 + 
  (3604480*f[a[3]]*f[a[1]*a[3]]*f[a[1]*b[1]*c[1]])/1594323 + 
  (8096*f[1]*f[a[1]^2*a[3]]*f[a[1]*b[1]*c[1]])/19683 + 
  (38368*f[a[1]^2]*f[a[1]^2*a[3]]*f[a[1]*b[1]*c[1]])/531441 - 
  (13292576*f[a[1]^4]*f[a[1]^2*a[3]]*f[a[1]*b[1]*c[1]])/14348907 + 
  (104288800*f[a[1]^6]*f[a[1]^2*a[3]]*f[a[1]*b[1]*c[1]])/43046721 + 
  (87500864*f[a[2]^2]*f[a[1]^2*a[3]]*f[a[1]*b[1]*c[1]])/43046721 + 
  (352447040*f[a[1]^2*a[2]^2]*f[a[1]^2*a[3]]*f[a[1]*b[1]*c[1]])/
   387420489 + (10993664*f[a[1]*a[3]]*f[a[1]^2*a[3]]*
     f[a[1]*b[1]*c[1]])/4782969 + 
  (360448*f[a[1]]*f[a[1]^3*a[3]]*f[a[1]*b[1]*c[1]])/531441 + 
  (3063808*f[a[1]^3]*f[a[1]^3*a[3]]*f[a[1]*b[1]*c[1]])/14348907 - 
  (403701760*f[a[1]^5]*f[a[1]^3*a[3]]*f[a[1]*b[1]*c[1]])/129140163 + 
  (134807552*f[a[1]*a[2]^2]*f[a[1]^3*a[3]]*f[a[1]*b[1]*c[1]])/
   43046721 - (19103744*f[a[3]]*f[a[1]^3*a[3]]*f[a[1]*b[1]*c[1]])/
   14348907 + (1408090112*f[a[1]^2*a[3]]*f[a[1]^3*a[3]]*
     f[a[1]*b[1]*c[1]])/387420489 + 
  (180224*f[a[2]]*f[a[2]*a[3]]*f[a[1]*b[1]*c[1]])/177147 - 
  (45596672*f[a[1]^2*a[2]]*f[a[2]*a[3]]*f[a[1]*b[1]*c[1]])/43046721 + 
  (415416320*f[a[1]^4*a[2]]*f[a[2]*a[3]]*f[a[1]*b[1]*c[1]])/387420489 + 
  (244744192*f[a[2]^3]*f[a[2]*a[3]]*f[a[1]*b[1]*c[1]])/43046721 + 
  (2883584*f[a[1]*a[2]]*f[a[1]*a[2]*a[3]]*f[a[1]*b[1]*c[1]])/43046721 - 
  (568066048*f[a[1]^3*a[2]]*f[a[1]*a[2]*a[3]]*f[a[1]*b[1]*c[1]])/
   387420489 - (2684616704*f[a[2]*a[3]]*f[a[1]*a[2]*a[3]]*
     f[a[1]*b[1]*c[1]])/1162261467 - 
  (280544*f[a[1]]*f[a[3]^2]*f[a[1]*b[1]*c[1]])/1594323 + 
  (1943392*f[a[1]^3]*f[a[3]^2]*f[a[1]*b[1]*c[1]])/14348907 - 
  (62101600*f[a[1]^5]*f[a[3]^2]*f[a[1]*b[1]*c[1]])/387420489 + 
  (728019776*f[a[1]*a[2]^2]*f[a[3]^2]*f[a[1]*b[1]*c[1]])/387420489 - 
  (352*f[a[3]]*f[a[3]^2]*f[a[1]*b[1]*c[1]])/729 - 
  (71873824*f[a[1]^2*a[3]]*f[a[3]^2]*f[a[1]*b[1]*c[1]])/129140163 - 
  (720896*f[a[1]*a[2]]*f[a[4]]*f[a[1]*b[1]*c[1]])/4782969 + 
  (3604480*f[a[1]^3*a[2]]*f[a[4]]*f[a[1]*b[1]*c[1]])/43046721 + 
  (52625408*f[a[2]*a[3]]*f[a[4]]*f[a[1]*b[1]*c[1]])/43046721 - 
  (720896*f[a[2]]*f[a[1]*a[4]]*f[a[1]*b[1]*c[1]])/4782969 + 
  (5046272*f[a[1]^2*a[2]]*f[a[1]*a[4]]*f[a[1]*b[1]*c[1]])/43046721 - 
  (133365760*f[a[1]^4*a[2]]*f[a[1]*a[4]]*f[a[1]*b[1]*c[1]])/
   1162261467 - (240779264*f[a[2]^3]*f[a[1]*a[4]]*f[a[1]*b[1]*c[1]])/
   1162261467 - (11534336*f[a[1]*a[2]*a[3]]*f[a[1]*a[4]]*
     f[a[1]*b[1]*c[1]])/387420489 - 
  (123994112*f[a[4]]*f[a[1]*a[4]]*f[a[1]*b[1]*c[1]])/43046721 + 
  (5046272*f[a[1]*a[2]]*f[a[1]^2*a[4]]*f[a[1]*b[1]*c[1]])/43046721 + 
  (662503424*f[a[1]^3*a[2]]*f[a[1]^2*a[4]]*f[a[1]*b[1]*c[1]])/
   1162261467 - (645201920*f[a[2]*a[3]]*f[a[1]^2*a[4]]*
     f[a[1]*b[1]*c[1]])/387420489 - 
  (1162084352*f[a[1]*a[4]]*f[a[1]^2*a[4]]*f[a[1]*b[1]*c[1]])/
   387420489 + (1441792*f[a[1]]*f[a[2]*a[4]]*f[a[1]*b[1]*c[1]])/
   4782969 - (41811968*f[a[1]^3]*f[a[2]*a[4]]*f[a[1]*b[1]*c[1]])/
   43046721 + (1910374400*f[a[1]^5]*f[a[2]*a[4]]*f[a[1]*b[1]*c[1]])/
   1162261467 + (1404305408*f[a[1]*a[2]^2]*f[a[2]*a[4]]*
     f[a[1]*b[1]*c[1]])/3486784401 - 
  (36044800*f[a[3]]*f[a[2]*a[4]]*f[a[1]*b[1]*c[1]])/43046721 + 
  (494534656*f[a[1]^2*a[3]]*f[a[2]*a[4]]*f[a[1]*b[1]*c[1]])/387420489 + 
  (22880*f[1]*f[a[5]]*f[a[1]*b[1]*c[1]])/177147 + 
  (22880*f[a[1]^2]*f[a[5]]*f[a[1]*b[1]*c[1]])/177147 - 
  (6749600*f[a[1]^4]*f[a[5]]*f[a[1]*b[1]*c[1]])/43046721 + 
  (260260000*f[a[1]^6]*f[a[5]]*f[a[1]*b[1]*c[1]])/1162261467 + 
  (30331840*f[a[2]^2]*f[a[5]]*f[a[1]*b[1]*c[1]])/43046721 - 
  (44207680*f[a[1]^2*a[2]^2]*f[a[5]]*f[a[1]*b[1]*c[1]])/387420489 - 
  (3604480*f[a[1]*a[3]]*f[a[5]]*f[a[1]*b[1]*c[1]])/43046721 + 
  (41451520*f[a[1]^3*a[3]]*f[a[5]]*f[a[1]*b[1]*c[1]])/387420489 + 
  (3391520*f[a[3]^2]*f[a[5]]*f[a[1]*b[1]*c[1]])/1162261467 - 
  (2025717760*f[a[2]*a[4]]*f[a[5]]*f[a[1]*b[1]*c[1]])/1162261467 + 
  (11714560*f[a[1]^3]*f[a[1]*a[5]]*f[a[1]*b[1]*c[1]])/43046721 - 
  (585728000*f[a[1]^5]*f[a[1]*a[5]]*f[a[1]*b[1]*c[1]])/1162261467 - 
  (187432960*f[a[1]*a[2]^2]*f[a[1]*a[5]]*f[a[1]*b[1]*c[1]])/
   3486784401 - (3604480*f[a[3]]*f[a[1]*a[5]]*f[a[1]*b[1]*c[1]])/
   43046721 - (44154880*f[a[1]^2*a[3]]*f[a[1]*a[5]]*f[a[1]*b[1]*c[1]])/
   387420489 + (12929269760*f[a[5]]*f[a[1]*a[5]]*f[a[1]*b[1]*c[1]])/
   3486784401 + (1261568*f[a[1]*a[2]]*f[a[6]]*f[a[1]*b[1]*c[1]])/
   14348907 - (6307840*f[a[1]^3*a[2]]*f[a[6]]*f[a[1]*b[1]*c[1]])/
   129140163 - (563560448*f[a[2]*a[3]]*f[a[6]]*f[a[1]*b[1]*c[1]])/
   1162261467 + (5046272*f[a[1]*a[4]]*f[a[6]]*f[a[1]*b[1]*c[1]])/
   387420489 + (608*f[a[1]]*f[b[1]*c[1]]*f[a[1]*b[1]*c[1]])/2187 - 
  (3040*f[a[1]^3]*f[b[1]*c[1]]*f[a[1]*b[1]*c[1]])/19683 + 
  (76000*f[a[1]^5]*f[b[1]*c[1]]*f[a[1]*b[1]*c[1]])/531441 + 
  (15808*f[a[1]*a[2]^2]*f[b[1]*c[1]]*f[a[1]*b[1]*c[1]])/531441 - 
  (608*f[a[3]]*f[b[1]*c[1]]*f[a[1]*b[1]*c[1]])/19683 + 
  (13984*f[a[1]^2*a[3]]*f[b[1]*c[1]]*f[a[1]*b[1]*c[1]])/177147 + 
  (39520*f[a[5]]*f[b[1]*c[1]]*f[a[1]*b[1]*c[1]])/1594323 + 
  (304*f[1]*f[a[1]*b[1]*c[1]]^2)/2187 + 
  (304*f[a[1]^2]*f[a[1]*b[1]*c[1]]^2)/2187 - 
  (89680*f[a[1]^4]*f[a[1]*b[1]*c[1]]^2)/531441 + 
  (3458000*f[a[1]^6]*f[a[1]*b[1]*c[1]]^2)/14348907 - 
  (131936*f[a[2]^2]*f[a[1]*b[1]*c[1]]^2)/1594323 + 
  (1418464*f[a[1]^2*a[2]^2]*f[a[1]*b[1]*c[1]]^2)/43046721 + 
  (311296*f[a[1]^3*a[3]]*f[a[1]*b[1]*c[1]]^2)/4782969 - 
  (242288*f[a[3]^2]*f[a[1]*b[1]*c[1]]^2)/14348907 + 
  (1245184*f[a[2]*a[4]]*f[a[1]*b[1]*c[1]]^2)/43046721 + 
  (16*f[b[1]*c[1]]*f[a[1]*b[1]*c[1]]^2)/729 - 
  (55*f[1]^2*f[a[1]^2*b[1]*c[1]])/243 + 
  (176*f[a[1]]^2*f[a[1]^2*b[1]*c[1]])/243 + 
  (3938*f[1]*f[a[1]^2]*f[a[1]^2*b[1]*c[1]])/2187 + 
  (91531*f[a[1]^2]^2*f[a[1]^2*b[1]*c[1]])/59049 + 
  (132704*f[a[1]]*f[a[1]^3]*f[a[1]^2*b[1]*c[1]])/59049 + 
  (5853232*f[a[1]^3]^2*f[a[1]^2*b[1]*c[1]])/1594323 - 
  (115390*f[1]*f[a[1]^4]*f[a[1]^2*b[1]*c[1]])/59049 + 
  (5747126*f[a[1]^2]*f[a[1]^4]*f[a[1]^2*b[1]*c[1]])/1594323 + 
  (151488953*f[a[1]^4]^2*f[a[1]^2*b[1]*c[1]])/14348907 - 
  (7823200*f[a[1]]*f[a[1]^5]*f[a[1]^2*b[1]*c[1]])/1594323 + 
  (95886560*f[a[1]^3]*f[a[1]^5]*f[a[1]^2*b[1]*c[1]])/14348907 + 
  (4746618800*f[a[1]^5]^2*f[a[1]^2*b[1]*c[1]])/129140163 + 
  (4292750*f[1]*f[a[1]^6]*f[a[1]^2*b[1]*c[1]])/1594323 - 
  (214787650*f[a[1]^2]*f[a[1]^6]*f[a[1]^2*b[1]*c[1]])/14348907 + 
  (1573834570*f[a[1]^4]*f[a[1]^6]*f[a[1]^2*b[1]*c[1]])/129140163 + 
  (531994196195*f[a[1]^6]^2*f[a[1]^2*b[1]*c[1]])/3486784401 - 
  (47872*f[a[2]]^2*f[a[1]^2*b[1]*c[1]])/177147 - 
  (1982464*f[a[1]*a[2]]^2*f[a[1]^2*b[1]*c[1]])/4782969 - 
  (2404864*f[a[2]]*f[a[1]^2*a[2]]*f[a[1]^2*b[1]*c[1]])/4782969 - 
  (60473600*f[a[1]^2*a[2]]^2*f[a[1]^2*b[1]*c[1]])/43046721 - 
  (24150016*f[a[1]*a[2]]*f[a[1]^3*a[2]]*f[a[1]^2*b[1]*c[1]])/14348907 - 
  (5454479360*f[a[1]^3*a[2]]^2*f[a[1]^2*b[1]*c[1]])/1162261467 + 
  (8814080*f[a[2]]*f[a[1]^4*a[2]]*f[a[1]^2*b[1]*c[1]])/14348907 - 
  (5169832448*f[a[1]^2*a[2]]*f[a[1]^4*a[2]]*f[a[1]^2*b[1]*c[1]])/
   1162261467 - (542053605632*f[a[1]^4*a[2]]^2*f[a[1]^2*b[1]*c[1]])/
   31381059609 + (171644*f[1]*f[a[2]^2]*f[a[1]^2*b[1]*c[1]])/177147 - 
  (12415084*f[a[1]^2]*f[a[2]^2]*f[a[1]^2*b[1]*c[1]])/4782969 + 
  (304409116*f[a[1]^4]*f[a[2]^2]*f[a[1]^2*b[1]*c[1]])/43046721 - 
  (18282304700*f[a[1]^6]*f[a[2]^2]*f[a[1]^2*b[1]*c[1]])/1162261467 + 
  (75222092*f[a[2]^2]^2*f[a[1]^2*b[1]*c[1]])/43046721 - 
  (2142272*f[a[1]]*f[a[1]*a[2]^2]*f[a[1]^2*b[1]*c[1]])/4782969 - 
  (81923776*f[a[1]^3]*f[a[1]*a[2]^2]*f[a[1]^2*b[1]*c[1]])/43046721 + 
  (19127922880*f[a[1]^5]*f[a[1]*a[2]^2]*f[a[1]^2*b[1]*c[1]])/
   1162261467 + (1764828736*f[a[1]*a[2]^2]^2*f[a[1]^2*b[1]*c[1]])/
   3486784401 + (20372*f[1]*f[a[1]^2*a[2]^2]*f[a[1]^2*b[1]*c[1]])/
   4782969 - (25009996*f[a[1]^2]*f[a[1]^2*a[2]^2]*f[a[1]^2*b[1]*c[1]])/
   43046721 - (196024972*f[a[1]^4]*f[a[1]^2*a[2]^2]*
     f[a[1]^2*b[1]*c[1]])/1162261467 + 
  (1460164593580*f[a[1]^6]*f[a[1]^2*a[2]^2]*f[a[1]^2*b[1]*c[1]])/
   31381059609 - (6110888168*f[a[2]^2]*f[a[1]^2*a[2]^2]*
     f[a[1]^2*b[1]*c[1]])/3486784401 + 
  (71601896300*f[a[1]^2*a[2]^2]^2*f[a[1]^2*b[1]*c[1]])/31381059609 - 
  (16208896*f[a[2]]*f[a[2]^3]*f[a[1]^2*b[1]*c[1]])/4782969 + 
  (8578515968*f[a[1]^2*a[2]]*f[a[2]^3]*f[a[1]^2*b[1]*c[1]])/
   1162261467 - (577126956032*f[a[1]^4*a[2]]*f[a[2]^3]*
     f[a[1]^2*b[1]*c[1]])/31381059609 - 
  (11197598720*f[a[2]^3]^2*f[a[1]^2*b[1]*c[1]])/1162261467 - 
  (352*f[a[1]]*f[a[3]]*f[a[1]^2*b[1]*c[1]])/2187 - 
  (132704*f[a[1]^3]*f[a[3]]*f[a[1]^2*b[1]*c[1]])/531441 + 
  (7823200*f[a[1]^5]*f[a[3]]*f[a[1]^2*b[1]*c[1]])/14348907 - 
  (90132416*f[a[1]*a[2]^2]*f[a[3]]*f[a[1]^2*b[1]*c[1]])/43046721 - 
  (548944*f[a[3]]^2*f[a[1]^2*b[1]*c[1]])/1594323 - 
  (4928*f[1]*f[a[1]*a[3]]*f[a[1]^2*b[1]*c[1]])/19683 - 
  (76736*f[a[1]^2]*f[a[1]*a[3]]*f[a[1]^2*b[1]*c[1]])/531441 - 
  (8862656*f[a[1]^4]*f[a[1]*a[3]]*f[a[1]^2*b[1]*c[1]])/14348907 + 
  (253422400*f[a[1]^6]*f[a[1]*a[3]]*f[a[1]^2*b[1]*c[1]])/129140163 - 
  (89643136*f[a[2]^2]*f[a[1]*a[3]]*f[a[1]^2*b[1]*c[1]])/43046721 - 
  (289117312*f[a[1]^2*a[2]^2]*f[a[1]*a[3]]*f[a[1]^2*b[1]*c[1]])/
   387420489 + (5378560*f[a[1]*a[3]]^2*f[a[1]^2*b[1]*c[1]])/4782969 + 
  (38368*f[a[1]]*f[a[1]^2*a[3]]*f[a[1]^2*b[1]*c[1]])/531441 - 
  (4540448*f[a[1]^3]*f[a[1]^2*a[3]]*f[a[1]^2*b[1]*c[1]])/14348907 - 
  (236704160*f[a[1]^5]*f[a[1]^2*a[3]]*f[a[1]^2*b[1]*c[1]])/129140163 + 
  (43362880*f[a[1]*a[2]^2]*f[a[1]^2*a[3]]*f[a[1]^2*b[1]*c[1]])/
   387420489 + (40210016*f[a[3]]*f[a[1]^2*a[3]]*f[a[1]^2*b[1]*c[1]])/
   14348907 + (947195920*f[a[1]^2*a[3]]^2*f[a[1]^2*b[1]*c[1]])/
   387420489 + (434368*f[1]*f[a[1]^3*a[3]]*f[a[1]^2*b[1]*c[1]])/
   531441 + (9080896*f[a[1]^2]*f[a[1]^3*a[3]]*f[a[1]^2*b[1]*c[1]])/
   14348907 - (147805504*f[a[1]^4]*f[a[1]^3*a[3]]*f[a[1]^2*b[1]*c[1]])/
   129140163 - (7373101120*f[a[1]^6]*f[a[1]^3*a[3]]*
     f[a[1]^2*b[1]*c[1]])/1162261467 + 
  (1370241664*f[a[2]^2]*f[a[1]^3*a[3]]*f[a[1]^2*b[1]*c[1]])/387420489 + 
  (35365565312*f[a[1]^2*a[2]^2]*f[a[1]^3*a[3]]*f[a[1]^2*b[1]*c[1]])/
   10460353203 + (1366830080*f[a[1]*a[3]]*f[a[1]^3*a[3]]*
     f[a[1]^2*b[1]*c[1]])/387420489 + 
  (61705549312*f[a[1]^3*a[3]]^2*f[a[1]^2*b[1]*c[1]])/10460353203 + 
  (19103744*f[a[1]*a[2]]*f[a[2]*a[3]]*f[a[1]^2*b[1]*c[1]])/14348907 - 
  (932478976*f[a[1]^3*a[2]]*f[a[2]*a[3]]*f[a[1]^2*b[1]*c[1]])/
   387420489 - (483180544*f[a[2]*a[3]]^2*f[a[1]^2*b[1]*c[1]])/
   1162261467 + (15319040*f[a[2]]*f[a[1]*a[2]*a[3]]*
     f[a[1]^2*b[1]*c[1]])/14348907 + 
  (99303424*f[a[1]^2*a[2]]*f[a[1]*a[2]*a[3]]*f[a[1]^2*b[1]*c[1]])/
   387420489 - (42514300928*f[a[1]^4*a[2]]*f[a[1]*a[2]*a[3]]*
     f[a[1]^2*b[1]*c[1]])/10460353203 + 
  (16466345984*f[a[2]^3]*f[a[1]*a[2]*a[3]]*f[a[1]^2*b[1]*c[1]])/
   3486784401 - (31965970432*f[a[1]*a[2]*a[3]]^2*f[a[1]^2*b[1]*c[1]])/
   31381059609 + (132022*f[1]*f[a[3]^2]*f[a[1]^2*b[1]*c[1]])/1594323 - 
  (2908378*f[a[1]^2]*f[a[3]^2]*f[a[1]^2*b[1]*c[1]])/14348907 + 
  (118553798*f[a[1]^4]*f[a[3]^2]*f[a[1]^2*b[1]*c[1]])/387420489 - 
  (5702123350*f[a[1]^6]*f[a[3]^2]*f[a[1]^2*b[1]*c[1]])/10460353203 - 
  (239853196*f[a[2]^2]*f[a[3]^2]*f[a[1]^2*b[1]*c[1]])/1162261467 + 
  (79741876412*f[a[1]^2*a[2]^2]*f[a[3]^2]*f[a[1]^2*b[1]*c[1]])/
   31381059609 - (60784064*f[a[1]*a[3]]*f[a[3]^2]*f[a[1]^2*b[1]*c[1]])/
   129140163 - (1023970112*f[a[1]^3*a[3]]*f[a[3]^2]*
     f[a[1]^2*b[1]*c[1]])/1162261467 - 
  (3673818533*f[a[3]^2]^2*f[a[1]^2*b[1]*c[1]])/3486784401 + 
  (2050048*f[a[2]]*f[a[4]]*f[a[1]^2*b[1]*c[1]])/4782969 - 
  (7546880*f[a[1]^2*a[2]]*f[a[4]]*f[a[1]^2*b[1]*c[1]])/14348907 + 
  (627968000*f[a[1]^4*a[2]]*f[a[4]]*f[a[1]^2*b[1]*c[1]])/1162261467 + 
  (344453120*f[a[2]^3]*f[a[4]]*f[a[1]^2*b[1]*c[1]])/1162261467 + 
  (198246400*f[a[1]*a[2]*a[3]]*f[a[4]]*f[a[1]^2*b[1]*c[1]])/129140163 + 
  (15724544*f[a[4]]^2*f[a[1]^2*b[1]*c[1]])/43046721 - 
  (10092544*f[a[1]*a[2]]*f[a[1]*a[4]]*f[a[1]^2*b[1]*c[1]])/43046721 - 
  (217710592*f[a[1]^3*a[2]]*f[a[1]*a[4]]*f[a[1]^2*b[1]*c[1]])/
   1162261467 + (650248192*f[a[2]*a[3]]*f[a[1]*a[4]]*
     f[a[1]^2*b[1]*c[1]])/387420489 - 
  (550764544*f[a[1]*a[4]]^2*f[a[1]^2*b[1]*c[1]])/387420489 - 
  (7546880*f[a[2]]*f[a[1]^2*a[4]]*f[a[1]^2*b[1]*c[1]])/14348907 - 
  (48277504*f[a[1]^2*a[2]]*f[a[1]^2*a[4]]*f[a[1]^2*b[1]*c[1]])/
   1162261467 + (14957533184*f[a[1]^4*a[2]]*f[a[1]^2*a[4]]*
     f[a[1]^2*b[1]*c[1]])/31381059609 - 
  (1237823488*f[a[2]^3]*f[a[1]^2*a[4]]*f[a[1]^2*b[1]*c[1]])/
   31381059609 - (563019776*f[a[1]*a[2]*a[3]]*f[a[1]^2*a[4]]*
     f[a[1]^2*b[1]*c[1]])/10460353203 - 
  (1328881664*f[a[4]]*f[a[1]^2*a[4]]*f[a[1]^2*b[1]*c[1]])/387420489 - 
  (32895610880*f[a[1]^2*a[4]]^2*f[a[1]^2*b[1]*c[1]])/10460353203 - 
  (1937408*f[1]*f[a[2]*a[4]]*f[a[1]^2*b[1]*c[1]])/4782969 + 
  (15093760*f[a[1]^2]*f[a[2]*a[4]]*f[a[1]^2*b[1]*c[1]])/14348907 - 
  (3524595712*f[a[1]^4]*f[a[2]*a[4]]*f[a[1]^2*b[1]*c[1]])/1162261467 + 
  (214614118400*f[a[1]^6]*f[a[2]*a[4]]*f[a[1]^2*b[1]*c[1]])/
   31381059609 - (4038189056*f[a[2]^2]*f[a[2]*a[4]]*
     f[a[1]^2*b[1]*c[1]])/3486784401 + 
  (37569765376*f[a[1]^2*a[2]^2]*f[a[2]*a[4]]*f[a[1]^2*b[1]*c[1]])/
   31381059609 - (489488384*f[a[1]*a[3]]*f[a[2]*a[4]]*
     f[a[1]^2*b[1]*c[1]])/387420489 + 
  (31310675968*f[a[1]^3*a[3]]*f[a[2]*a[4]]*f[a[1]^2*b[1]*c[1]])/
   10460353203 - (15123722240*f[a[3]^2]*f[a[2]*a[4]]*
     f[a[1]^2*b[1]*c[1]])/31381059609 + 
  (68675436544*f[a[2]*a[4]]^2*f[a[1]^2*b[1]*c[1]])/94143178827 + 
  (22880*f[a[1]]*f[a[5]]*f[a[1]^2*b[1]*c[1]])/177147 + 
  (8625760*f[a[1]^3]*f[a[5]]*f[a[1]^2*b[1]*c[1]])/43046721 - 
  (508508000*f[a[1]^5]*f[a[5]]*f[a[1]^2*b[1]*c[1]])/1162261467 + 
  (3090366400*f[a[1]*a[2]^2]*f[a[5]]*f[a[1]^2*b[1]*c[1]])/3486784401 + 
  (508640*f[a[3]]*f[a[5]]*f[a[1]^2*b[1]*c[1]])/43046721 - 
  (12610400*f[a[1]^2*a[3]]*f[a[5]]*f[a[1]^2*b[1]*c[1]])/129140163 - 
  (2000121200*f[a[5]]^2*f[a[1]^2*b[1]*c[1]])/3486784401 + 
  (320320*f[1]*f[a[1]*a[5]]*f[a[1]^2*b[1]*c[1]])/1594323 + 
  (4987840*f[a[1]^2]*f[a[1]*a[5]]*f[a[1]^2*b[1]*c[1]])/43046721 + 
  (576072640*f[a[1]^4]*f[a[1]*a[5]]*f[a[1]^2*b[1]*c[1]])/1162261467 - 
  (16472456000*f[a[1]^6]*f[a[1]*a[5]]*f[a[1]^2*b[1]*c[1]])/
   10460353203 + (2626025600*f[a[2]^2]*f[a[1]*a[5]]*
     f[a[1]^2*b[1]*c[1]])/3486784401 + 
  (9363305600*f[a[1]^2*a[2]^2]*f[a[1]*a[5]]*f[a[1]^2*b[1]*c[1]])/
   31381059609 - (28779520*f[a[1]*a[3]]*f[a[1]*a[5]]*
     f[a[1]^2*b[1]*c[1]])/387420489 - 
  (510315520*f[a[1]^3*a[3]]*f[a[1]*a[5]]*f[a[1]^2*b[1]*c[1]])/
   3486784401 - (71635520*f[a[3]^2]*f[a[1]*a[5]]*f[a[1]^2*b[1]*c[1]])/
   10460353203 - (216092180480*f[a[2]*a[4]]*f[a[1]*a[5]]*
     f[a[1]^2*b[1]*c[1]])/94143178827 + 
  (58062737920*f[a[1]*a[5]]^2*f[a[1]^2*b[1]*c[1]])/31381059609 - 
  (4195840*f[a[2]]*f[a[6]]*f[a[1]^2*b[1]*c[1]])/14348907 + 
  (133438976*f[a[1]^2*a[2]]*f[a[6]]*f[a[1]^2*b[1]*c[1]])/387420489 - 
  (1229493760*f[a[1]^4*a[2]]*f[a[6]]*f[a[1]^2*b[1]*c[1]])/3486784401 - 
  (834786304*f[a[2]^3]*f[a[6]]*f[a[1]^2*b[1]*c[1]])/3486784401 - 
  (19891142656*f[a[1]*a[2]*a[3]]*f[a[6]]*f[a[1]^2*b[1]*c[1]])/
   31381059609 + (44042240*f[a[4]]*f[a[6]]*f[a[1]^2*b[1]*c[1]])/
   387420489 - (307935232*f[a[1]^2*a[4]]*f[a[6]]*f[a[1]^2*b[1]*c[1]])/
   3486784401 + (6736026880*f[a[6]]^2*f[a[1]^2*b[1]*c[1]])/10460353203 - 
  (190*f[1]*f[b[1]*c[1]]*f[a[1]^2*b[1]*c[1]])/2187 + 
  (6802*f[a[1]^2]*f[b[1]*c[1]]*f[a[1]^2*b[1]*c[1]])/19683 - 
  (199310*f[a[1]^4]*f[b[1]*c[1]]*f[a[1]^2*b[1]*c[1]])/531441 + 
  (7414750*f[a[1]^6]*f[b[1]*c[1]]*f[a[1]^2*b[1]*c[1]])/14348907 + 
  (296476*f[a[2]^2]*f[b[1]*c[1]]*f[a[1]^2*b[1]*c[1]])/1594323 + 
  (35188*f[a[1]^2*a[2]^2]*f[b[1]*c[1]]*f[a[1]^2*b[1]*c[1]])/43046721 - 
  (8512*f[a[1]*a[3]]*f[b[1]*c[1]]*f[a[1]^2*b[1]*c[1]])/177147 + 
  (750272*f[a[1]^3*a[3]]*f[b[1]*c[1]]*f[a[1]^2*b[1]*c[1]])/4782969 + 
  (228038*f[a[3]^2]*f[b[1]*c[1]]*f[a[1]^2*b[1]*c[1]])/14348907 - 
  (3346432*f[a[2]*a[4]]*f[b[1]*c[1]]*f[a[1]^2*b[1]*c[1]])/43046721 + 
  (553280*f[a[1]*a[5]]*f[b[1]*c[1]]*f[a[1]^2*b[1]*c[1]])/14348907 - 
  (5*f[b[1]*c[1]]^2*f[a[1]^2*b[1]*c[1]])/729 + 
  (608*f[a[1]]*f[a[1]*b[1]*c[1]]*f[a[1]^2*b[1]*c[1]])/2187 + 
  (229216*f[a[1]^3]*f[a[1]*b[1]*c[1]]*f[a[1]^2*b[1]*c[1]])/531441 - 
  (13512800*f[a[1]^5]*f[a[1]*b[1]*c[1]]*f[a[1]^2*b[1]*c[1]])/14348907 - 
  (3700288*f[a[1]*a[2]^2]*f[a[1]*b[1]*c[1]]*f[a[1]^2*b[1]*c[1]])/
   43046721 - (608*f[a[3]]*f[a[1]*b[1]*c[1]]*f[a[1]^2*b[1]*c[1]])/
   19683 + (66272*f[a[1]^2*a[3]]*f[a[1]*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[1]])/4782969 + 
  (39520*f[a[5]]*f[a[1]*b[1]*c[1]]*f[a[1]^2*b[1]*c[1]])/1594323 + 
  (16*f[a[1]*b[1]*c[1]]^2*f[a[1]^2*b[1]*c[1]])/729 + 
  (3401*f[1]*f[a[1]^2*b[1]*c[1]]^2)/19683 + 
  (158099*f[a[1]^2]*f[a[1]^2*b[1]*c[1]]^2)/531441 + 
  (4963427*f[a[1]^4]*f[a[1]^2*b[1]*c[1]]^2)/14348907 - 
  (185498425*f[a[1]^6]*f[a[1]^2*b[1]*c[1]]^2)/129140163 - 
  (10722118*f[a[2]^2]*f[a[1]^2*b[1]*c[1]]^2)/43046721 - 
  (21599542*f[a[1]^2*a[2]^2]*f[a[1]^2*b[1]*c[1]]^2)/387420489 - 
  (66272*f[a[1]*a[3]]*f[a[1]^2*b[1]*c[1]]^2)/4782969 + 
  (7842592*f[a[1]^3*a[3]]*f[a[1]^2*b[1]*c[1]]^2)/129140163 - 
  (2511781*f[a[3]^2]*f[a[1]^2*b[1]*c[1]]^2)/129140163 + 
  (13035520*f[a[2]*a[4]]*f[a[1]^2*b[1]*c[1]]^2)/129140163 + 
  (4307680*f[a[1]*a[5]]*f[a[1]^2*b[1]*c[1]]^2)/387420489 + 
  (179*f[b[1]*c[1]]*f[a[1]^2*b[1]*c[1]]^2)/6561 + 
  (8321*f[a[1]^2*b[1]*c[1]]^3)/531441 - 
  (1760*f[1]*f[a[1]]*f[a[1]^3*b[1]*c[1]])/2187 + 
  (132704*f[a[1]]*f[a[1]^2]*f[a[1]^3*b[1]*c[1]])/59049 + 
  (206624*f[1]*f[a[1]^3]*f[a[1]^3*b[1]*c[1]])/59049 + 
  (11706464*f[a[1]^2]*f[a[1]^3]*f[a[1]^3*b[1]*c[1]])/1594323 + 
  (7685216*f[a[1]]*f[a[1]^4]*f[a[1]^3*b[1]*c[1]])/1594323 + 
  (11706464*f[a[1]^3]*f[a[1]^4]*f[a[1]^3*b[1]*c[1]])/531441 - 
  (9671200*f[1]*f[a[1]^5]*f[a[1]^3*b[1]*c[1]])/1594323 + 
  (95886560*f[a[1]^2]*f[a[1]^5]*f[a[1]^3*b[1]*c[1]])/14348907 + 
  (9483406240*f[a[1]^4]*f[a[1]^5]*f[a[1]^3*b[1]*c[1]])/129140163 - 
  (80264800*f[a[1]]*f[a[1]^6]*f[a[1]^3*b[1]*c[1]])/4782969 + 
  (434415520*f[a[1]^3]*f[a[1]^6]*f[a[1]^3*b[1]*c[1]])/129140163 + 
  (977262748000*f[a[1]^5]*f[a[1]^6]*f[a[1]^3*b[1]*c[1]])/3486784401 - 
  (1982464*f[a[2]]*f[a[1]*a[2]]*f[a[1]^3*b[1]*c[1]])/1594323 - 
  (39108608*f[a[1]*a[2]]*f[a[1]^2*a[2]]*f[a[1]^3*b[1]*c[1]])/43046721 + 
  (9912320*f[a[2]]*f[a[1]^3*a[2]]*f[a[1]^3*b[1]*c[1]])/14348907 - 
  (67944448*f[a[1]^2*a[2]]*f[a[1]^3*a[2]]*f[a[1]^3*b[1]*c[1]])/
   14348907 - (1630846976*f[a[1]*a[2]]*f[a[1]^4*a[2]]*
     f[a[1]^3*b[1]*c[1]])/1162261467 - 
  (235081842688*f[a[1]^3*a[2]]*f[a[1]^4*a[2]]*f[a[1]^3*b[1]*c[1]])/
   10460353203 + (1215808*f[a[1]]*f[a[2]^2]*f[a[1]^3*b[1]*c[1]])/
   531441 - (120243904*f[a[1]^3]*f[a[2]^2]*f[a[1]^3*b[1]*c[1]])/
   14348907 + (31432751680*f[a[1]^5]*f[a[2]^2]*f[a[1]^3*b[1]*c[1]])/
   1162261467 + (2746304*f[1]*f[a[1]*a[2]^2]*f[a[1]^3*b[1]*c[1]])/
   1594323 - (81923776*f[a[1]^2]*f[a[1]*a[2]^2]*f[a[1]^3*b[1]*c[1]])/
   43046721 - (104632000*f[a[1]^4]*f[a[1]*a[2]^2]*f[a[1]^3*b[1]*c[1]])/
   14348907 + (8806557760*f[a[1]^6]*f[a[1]*a[2]^2]*
     f[a[1]^3*b[1]*c[1]])/129140163 + 
  (7199333504*f[a[2]^2]*f[a[1]*a[2]^2]*f[a[1]^3*b[1]*c[1]])/
   1162261467 - (317504*f[a[1]]*f[a[1]^2*a[2]^2]*f[a[1]^3*b[1]*c[1]])/
   1594323 - (74827456*f[a[1]^3]*f[a[1]^2*a[2]^2]*f[a[1]^3*b[1]*c[1]])/
   14348907 + (82961179840*f[a[1]^5]*f[a[1]^2*a[2]^2]*
     f[a[1]^3*b[1]*c[1]])/31381059609 + 
  (41362456960*f[a[1]*a[2]^2]*f[a[1]^2*a[2]^2]*f[a[1]^3*b[1]*c[1]])/
   31381059609 - (2323087360*f[a[1]*a[2]]*f[a[2]^3]*
     f[a[1]^3*b[1]*c[1]])/387420489 + 
  (206108131328*f[a[1]^3*a[2]]*f[a[2]^3]*f[a[1]^3*b[1]*c[1]])/
   10460353203 + (1760*f[1]*f[a[3]]*f[a[1]^3*b[1]*c[1]])/19683 - 
  (132704*f[a[1]^2]*f[a[3]]*f[a[1]^3*b[1]*c[1]])/531441 - 
  (7685216*f[a[1]^4]*f[a[3]]*f[a[1]^3*b[1]*c[1]])/14348907 + 
  (80264800*f[a[1]^6]*f[a[3]]*f[a[1]^3*b[1]*c[1]])/43046721 + 
  (10770496*f[a[2]^2]*f[a[3]]*f[a[1]^3*b[1]*c[1]])/14348907 - 
  (513304000*f[a[1]^2*a[2]^2]*f[a[3]]*f[a[1]^3*b[1]*c[1]])/129140163 - 
  (180224*f[a[1]]*f[a[1]*a[3]]*f[a[1]^3*b[1]*c[1]])/531441 - 
  (6127616*f[a[1]^3]*f[a[1]*a[3]]*f[a[1]^3*b[1]*c[1]])/14348907 - 
  (182927360*f[a[1]^5]*f[a[1]*a[3]]*f[a[1]^3*b[1]*c[1]])/129140163 - 
  (146702336*f[a[1]*a[2]^2]*f[a[1]*a[3]]*f[a[1]^3*b[1]*c[1]])/
   43046721 - (17481728*f[a[3]]*f[a[1]*a[3]]*f[a[1]^3*b[1]*c[1]])/
   14348907 - (301664*f[1]*f[a[1]^2*a[3]]*f[a[1]^3*b[1]*c[1]])/531441 - 
  (4540448*f[a[1]^2]*f[a[1]^2*a[3]]*f[a[1]^3*b[1]*c[1]])/14348907 - 
  (19748960*f[a[1]^4]*f[a[1]^2*a[3]]*f[a[1]^3*b[1]*c[1]])/14348907 - 
  (4768714720*f[a[1]^6]*f[a[1]^2*a[3]]*f[a[1]^3*b[1]*c[1]])/
   1162261467 - (1452165440*f[a[2]^2]*f[a[1]^2*a[3]]*
     f[a[1]^3*b[1]*c[1]])/387420489 - 
  (31597246912*f[a[1]^2*a[2]^2]*f[a[1]^2*a[3]]*f[a[1]^3*b[1]*c[1]])/
   10460353203 + (1348075520*f[a[1]*a[3]]*f[a[1]^2*a[3]]*
     f[a[1]^3*b[1]*c[1]])/387420489 + 
  (3063808*f[a[1]]*f[a[1]^3*a[3]]*f[a[1]^3*b[1]*c[1]])/14348907 - 
  (6894469120*f[a[1]^5]*f[a[1]^3*a[3]]*f[a[1]^3*b[1]*c[1]])/
   1162261467 + (2523136*f[a[1]*a[2]^2]*f[a[1]^3*a[3]]*
     f[a[1]^3*b[1]*c[1]])/14348907 + 
  (2106638336*f[a[3]]*f[a[1]^3*a[3]]*f[a[1]^3*b[1]*c[1]])/387420489 + 
  (120370528256*f[a[1]^2*a[3]]*f[a[1]^3*a[3]]*f[a[1]^3*b[1]*c[1]])/
   10460353203 - (5226496*f[a[2]]*f[a[2]*a[3]]*f[a[1]^3*b[1]*c[1]])/
   14348907 + (348012544*f[a[1]^2*a[2]]*f[a[2]*a[3]]*
     f[a[1]^3*b[1]*c[1]])/129140163 - 
  (8357888000*f[a[1]^4*a[2]]*f[a[2]*a[3]]*f[a[1]^3*b[1]*c[1]])/
   1162261467 + (832995328*f[a[2]^3]*f[a[2]*a[3]]*f[a[1]^3*b[1]*c[1]])/
   1162261467 + (723779584*f[a[1]*a[2]]*f[a[1]*a[2]*a[3]]*
     f[a[1]^3*b[1]*c[1]])/387420489 + 
  (2883584*f[a[1]^3*a[2]]*f[a[1]*a[2]*a[3]]*f[a[1]^3*b[1]*c[1]])/
   4782969 - (20534001664*f[a[2]*a[3]]*f[a[1]*a[2]*a[3]]*
     f[a[1]^3*b[1]*c[1]])/10460353203 + 
  (1943392*f[a[1]]*f[a[3]^2]*f[a[1]^3*b[1]*c[1]])/14348907 - 
  (146296480*f[a[1]^3]*f[a[3]^2]*f[a[1]^3*b[1]*c[1]])/387420489 + 
  (9354292640*f[a[1]^5]*f[a[3]^2]*f[a[1]^3*b[1]*c[1]])/10460353203 - 
  (4871618752*f[a[1]*a[2]^2]*f[a[3]^2]*f[a[1]^3*b[1]*c[1]])/
   10460353203 + (11367136*f[a[3]]*f[a[3]^2]*f[a[1]^3*b[1]*c[1]])/
   43046721 - (274059808*f[a[1]^2*a[3]]*f[a[3]^2]*f[a[1]^3*b[1]*c[1]])/
   387420489 + (38207488*f[a[1]*a[2]]*f[a[4]]*f[a[1]^3*b[1]*c[1]])/
   43046721 - (2049507328*f[a[1]^3*a[2]]*f[a[4]]*f[a[1]^3*b[1]*c[1]])/
   1162261467 - (297730048*f[a[2]*a[3]]*f[a[4]]*f[a[1]^3*b[1]*c[1]])/
   387420489 + (38207488*f[a[2]]*f[a[1]*a[4]]*f[a[1]^3*b[1]*c[1]])/
   43046721 - (617807872*f[a[1]^2*a[2]]*f[a[1]*a[4]]*
     f[a[1]^3*b[1]*c[1]])/1162261467 - 
  (43387125760*f[a[1]^4*a[2]]*f[a[1]*a[4]]*f[a[1]^3*b[1]*c[1]])/
   31381059609 - (667549696*f[a[2]^3]*f[a[1]*a[4]]*
     f[a[1]^3*b[1]*c[1]])/3486784401 + 
  (28224520192*f[a[1]*a[2]*a[3]]*f[a[1]*a[4]]*f[a[1]^3*b[1]*c[1]])/
   10460353203 + (481558528*f[a[4]]*f[a[1]*a[4]]*f[a[1]^3*b[1]*c[1]])/
   387420489 - (617807872*f[a[1]*a[2]]*f[a[1]^2*a[4]]*
     f[a[1]^3*b[1]*c[1]])/1162261467 - 
  (29857349632*f[a[1]^3*a[2]]*f[a[1]^2*a[4]]*f[a[1]^3*b[1]*c[1]])/
   31381059609 + (36795252736*f[a[2]*a[3]]*f[a[1]^2*a[4]]*
     f[a[1]^3*b[1]*c[1]])/10460353203 - 
  (45361659904*f[a[1]*a[4]]*f[a[1]^2*a[4]]*f[a[1]^3*b[1]*c[1]])/
   10460353203 - (41811968*f[a[1]]*f[a[2]*a[4]]*f[a[1]^3*b[1]*c[1]])/
   43046721 + (4099014656*f[a[1]^3]*f[a[2]*a[4]]*f[a[1]^3*b[1]*c[1]])/
   1162261467 - (366438645760*f[a[1]^5]*f[a[2]*a[4]]*
     f[a[1]^3*b[1]*c[1]])/31381059609 - 
  (6329466880*f[a[1]*a[2]^2]*f[a[2]*a[4]]*f[a[1]^3*b[1]*c[1]])/
   3486784401 + (214827008*f[a[3]]*f[a[2]*a[4]]*f[a[1]^3*b[1]*c[1]])/
   387420489 - (30475157504*f[a[1]^2*a[3]]*f[a[2]*a[4]]*
     f[a[1]^3*b[1]*c[1]])/10460353203 - 
  (114400*f[1]*f[a[5]]*f[a[1]^3*b[1]*c[1]])/1594323 + 
  (8625760*f[a[1]^2]*f[a[5]]*f[a[1]^3*b[1]*c[1]])/43046721 + 
  (499539040*f[a[1]^4]*f[a[5]]*f[a[1]^3*b[1]*c[1]])/1162261467 - 
  (5217212000*f[a[1]^6]*f[a[5]]*f[a[1]^3*b[1]*c[1]])/3486784401 - 
  (267544640*f[a[2]^2]*f[a[5]]*f[a[1]^3*b[1]*c[1]])/1162261467 + 
  (17879913920*f[a[1]^2*a[2]^2]*f[a[5]]*f[a[1]^3*b[1]*c[1]])/
   10460353203 + (6307840*f[a[1]*a[3]]*f[a[5]]*f[a[1]^3*b[1]*c[1]])/
   387420489 - (638894080*f[a[1]^3*a[3]]*f[a[5]]*f[a[1]^3*b[1]*c[1]])/
   3486784401 + (18186080*f[a[3]^2]*f[a[5]]*f[a[1]^3*b[1]*c[1]])/
   10460353203 + (9378856960*f[a[2]*a[4]]*f[a[5]]*f[a[1]^3*b[1]*c[1]])/
   10460353203 + (11714560*f[a[1]]*f[a[1]*a[5]]*f[a[1]^3*b[1]*c[1]])/
   43046721 + (398295040*f[a[1]^3]*f[a[1]*a[5]]*f[a[1]^3*b[1]*c[1]])/
   1162261467 + (11890278400*f[a[1]^5]*f[a[1]*a[5]]*
     f[a[1]^3*b[1]*c[1]])/10460353203 + 
  (13843005440*f[a[1]*a[2]^2]*f[a[1]*a[5]]*f[a[1]^3*b[1]*c[1]])/
   10460353203 + (6307840*f[a[3]]*f[a[1]*a[5]]*f[a[1]^3*b[1]*c[1]])/
   387420489 - (374865920*f[a[1]^2*a[3]]*f[a[1]*a[5]]*
     f[a[1]^3*b[1]*c[1]])/3486784401 - 
  (63884902400*f[a[5]]*f[a[1]*a[5]]*f[a[1]^3*b[1]*c[1]])/31381059609 - 
  (26132480*f[a[1]*a[2]]*f[a[6]]*f[a[1]^3*b[1]*c[1]])/43046721 + 
  (4128751616*f[a[1]^3*a[2]]*f[a[6]]*f[a[1]^3*b[1]*c[1]])/3486784401 + 
  (3466608640*f[a[2]*a[3]]*f[a[6]]*f[a[1]^3*b[1]*c[1]])/10460353203 + 
  (839843840*f[a[1]*a[4]]*f[a[6]]*f[a[1]^3*b[1]*c[1]])/3486784401 - 
  (3040*f[a[1]]*f[b[1]*c[1]]*f[a[1]^3*b[1]*c[1]])/19683 + 
  (356896*f[a[1]^3]*f[b[1]*c[1]]*f[a[1]^3*b[1]*c[1]])/531441 - 
  (16704800*f[a[1]^5]*f[b[1]*c[1]]*f[a[1]^3*b[1]*c[1]])/14348907 + 
  (4743616*f[a[1]*a[2]^2]*f[b[1]*c[1]]*f[a[1]^3*b[1]*c[1]])/14348907 + 
  (3040*f[a[3]]*f[b[1]*c[1]]*f[a[1]^3*b[1]*c[1]])/177147 - 
  (521056*f[a[1]^2*a[3]]*f[b[1]*c[1]]*f[a[1]^3*b[1]*c[1]])/4782969 - 
  (197600*f[a[5]]*f[b[1]*c[1]]*f[a[1]^3*b[1]*c[1]])/14348907 - 
  (3040*f[1]*f[a[1]*b[1]*c[1]]*f[a[1]^3*b[1]*c[1]])/19683 + 
  (229216*f[a[1]^2]*f[a[1]*b[1]*c[1]]*f[a[1]^3*b[1]*c[1]])/531441 + 
  (13274464*f[a[1]^4]*f[a[1]*b[1]*c[1]]*f[a[1]^3*b[1]*c[1]])/14348907 - 
  (138639200*f[a[1]^6]*f[a[1]*b[1]*c[1]]*f[a[1]^3*b[1]*c[1]])/
   43046721 + (2100032*f[a[2]^2]*f[a[1]*b[1]*c[1]]*
     f[a[1]^3*b[1]*c[1]])/4782969 - 
  (548416*f[a[1]^2*a[2]^2]*f[a[1]*b[1]*c[1]]*f[a[1]^3*b[1]*c[1]])/
   14348907 - (311296*f[a[1]*a[3]]*f[a[1]*b[1]*c[1]]*
     f[a[1]^3*b[1]*c[1]])/4782969 + 
  (5292032*f[a[1]^3*a[3]]*f[a[1]*b[1]*c[1]]*f[a[1]^3*b[1]*c[1]])/
   129140163 + (3356768*f[a[3]^2]*f[a[1]*b[1]*c[1]]*
     f[a[1]^3*b[1]*c[1]])/129140163 - 
  (72220672*f[a[2]*a[4]]*f[a[1]*b[1]*c[1]]*f[a[1]^3*b[1]*c[1]])/
   387420489 + (20234240*f[a[1]*a[5]]*f[a[1]*b[1]*c[1]]*
     f[a[1]^3*b[1]*c[1]])/387420489 - 
  (160*f[b[1]*c[1]]*f[a[1]*b[1]*c[1]]*f[a[1]^3*b[1]*c[1]])/6561 + 
  (229216*f[a[1]]*f[a[1]^2*b[1]*c[1]]*f[a[1]^3*b[1]*c[1]])/531441 + 
  (20220256*f[a[1]^3]*f[a[1]^2*b[1]*c[1]]*f[a[1]^3*b[1]*c[1]])/
   14348907 + (165622240*f[a[1]^5]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]^3*b[1]*c[1]])/129140163 - 
  (141504704*f[a[1]*a[2]^2]*f[a[1]^2*b[1]*c[1]]*f[a[1]^3*b[1]*c[1]])/
   387420489 - (229216*f[a[3]]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]^3*b[1]*c[1]])/4782969 - 
  (7842592*f[a[1]^2*a[3]]*f[a[1]^2*b[1]*c[1]]*f[a[1]^3*b[1]*c[1]])/
   129140163 + (14899040*f[a[5]]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]^3*b[1]*c[1]])/387420489 + 
  (12064*f[a[1]*b[1]*c[1]]*f[a[1]^2*b[1]*c[1]]*f[a[1]^3*b[1]*c[1]])/
   177147 + (178448*f[1]*f[a[1]^3*b[1]*c[1]]^2)/531441 + 
  (10110128*f[a[1]^2]*f[a[1]^3*b[1]*c[1]]^2)/14348907 + 
  (10110128*f[a[1]^4]*f[a[1]^3*b[1]*c[1]]^2)/4782969 + 
  (375177040*f[a[1]^6]*f[a[1]^3*b[1]*c[1]]^2)/1162261467 - 
  (103847008*f[a[2]^2]*f[a[1]^3*b[1]*c[1]]^2)/129140163 - 
  (64623712*f[a[1]^2*a[2]^2]*f[a[1]^3*b[1]*c[1]]^2)/129140163 - 
  (5292032*f[a[1]*a[3]]*f[a[1]^3*b[1]*c[1]]^2)/129140163 - 
  (126346960*f[a[3]^2]*f[a[1]^3*b[1]*c[1]]^2)/3486784401 + 
  (3540058112*f[a[2]*a[4]]*f[a[1]^3*b[1]*c[1]]^2)/10460353203 + 
  (343982080*f[a[1]*a[5]]*f[a[1]^3*b[1]*c[1]]^2)/10460353203 + 
  (9392*f[b[1]*c[1]]*f[a[1]^3*b[1]*c[1]]^2)/177147 + 
  (532112*f[a[1]^2*b[1]*c[1]]*f[a[1]^3*b[1]*c[1]]^2)/4782969 + 
  (275*f[1]^2*f[a[1]^4*b[1]*c[1]])/2187 - 
  (51920*f[a[1]]^2*f[a[1]^4*b[1]*c[1]])/59049 - 
  (115390*f[1]*f[a[1]^2]*f[a[1]^4*b[1]*c[1]])/59049 + 
  (2873563*f[a[1]^2]^2*f[a[1]^4*b[1]*c[1]])/1594323 + 
  (7685216*f[a[1]]*f[a[1]^3]*f[a[1]^4*b[1]*c[1]])/1594323 + 
  (5853232*f[a[1]^3]^2*f[a[1]^4*b[1]*c[1]])/531441 + 
  (14954786*f[1]*f[a[1]^4]*f[a[1]^4*b[1]*c[1]])/1594323 + 
  (302977906*f[a[1]^2]*f[a[1]^4]*f[a[1]^4*b[1]*c[1]])/14348907 + 
  (5985478499*f[a[1]^4]^2*f[a[1]^4*b[1]*c[1]])/129140163 + 
  (192475360*f[a[1]]*f[a[1]^5]*f[a[1]^4*b[1]*c[1]])/14348907 + 
  (9483406240*f[a[1]^3]*f[a[1]^5]*f[a[1]^4*b[1]*c[1]])/129140163 + 
  (687473217200*f[a[1]^5]^2*f[a[1]^4*b[1]*c[1]])/3486784401 - 
  (36771350*f[1]*f[a[1]^6]*f[a[1]^4*b[1]*c[1]])/1594323 + 
  (1573834570*f[a[1]^2]*f[a[1]^6]*f[a[1]^4*b[1]*c[1]])/129140163 + 
  (914602073770*f[a[1]^4]*f[a[1]^6]*f[a[1]^4*b[1]*c[1]])/3486784401 + 
  (28612436955025*f[a[1]^6]^2*f[a[1]^4*b[1]*c[1]])/31381059609 + 
  (689920*f[a[2]]^2*f[a[1]^4*b[1]*c[1]])/1594323 - 
  (67944448*f[a[1]*a[2]]^2*f[a[1]^4*b[1]*c[1]])/43046721 - 
  (162612736*f[a[2]]*f[a[1]^2*a[2]]*f[a[1]^4*b[1]*c[1]])/43046721 - 
  (55804672*f[a[1]^2*a[2]]^2*f[a[1]^4*b[1]*c[1]])/43046721 - 
  (1099005952*f[a[1]*a[2]]*f[a[1]^3*a[2]]*f[a[1]^4*b[1]*c[1]])/
   1162261467 - (60783607808*f[a[1]^3*a[2]]^2*f[a[1]^4*b[1]*c[1]])/
   10460353203 + (7727684096*f[a[2]]*f[a[1]^4*a[2]]*
     f[a[1]^4*b[1]*c[1]])/1162261467 - 
  (213349007872*f[a[1]^2*a[2]]*f[a[1]^4*a[2]]*f[a[1]^4*b[1]*c[1]])/
   31381059609 - (3626465782016*f[a[1]^4*a[2]]^2*f[a[1]^4*b[1]*c[1]])/
   94143178827 - (1759340*f[1]*f[a[2]^2]*f[a[1]^4*b[1]*c[1]])/1594323 + 
  (304409116*f[a[1]^2]*f[a[2]^2]*f[a[1]^4*b[1]*c[1]])/43046721 - 
  (37259446180*f[a[1]^4]*f[a[2]^2]*f[a[1]^4*b[1]*c[1]])/1162261467 + 
  (1290878726060*f[a[1]^6]*f[a[2]^2]*f[a[1]^4*b[1]*c[1]])/10460353203 - 
  (1106344052*f[a[2]^2]^2*f[a[1]^4*b[1]*c[1]])/1162261467 + 
  (205285696*f[a[1]]*f[a[1]*a[2]^2]*f[a[1]^4*b[1]*c[1]])/43046721 - 
  (104632000*f[a[1]^3]*f[a[1]*a[2]^2]*f[a[1]^4*b[1]*c[1]])/14348907 - 
  (969059586880*f[a[1]^5]*f[a[1]*a[2]^2]*f[a[1]^4*b[1]*c[1]])/
   31381059609 + (200669923520*f[a[1]*a[2]^2]^2*f[a[1]^4*b[1]*c[1]])/
   31381059609 + (20506684*f[1]*f[a[1]^2*a[2]^2]*f[a[1]^4*b[1]*c[1]])/
   4782969 - (196024972*f[a[1]^2]*f[a[1]^2*a[2]^2]*
     f[a[1]^4*b[1]*c[1]])/1162261467 - 
  (898527345100*f[a[1]^4]*f[a[1]^2*a[2]^2]*f[a[1]^4*b[1]*c[1]])/
   31381059609 + (2729631672460*f[a[1]^6]*f[a[1]^2*a[2]^2]*
     f[a[1]^4*b[1]*c[1]])/94143178827 + 
  (456001082504*f[a[2]^2]*f[a[1]^2*a[2]^2]*f[a[1]^4*b[1]*c[1]])/
   31381059609 + (1515972421348*f[a[1]^2*a[2]^2]^2*f[a[1]^4*b[1]*c[1]])/
   282429536481 + (1522453504*f[a[2]]*f[a[2]^3]*f[a[1]^4*b[1]*c[1]])/
   1162261467 - (417623309312*f[a[1]^2*a[2]]*f[a[2]^3]*
     f[a[1]^4*b[1]*c[1]])/31381059609 + 
  (5582195041280*f[a[1]^4*a[2]]*f[a[2]^3]*f[a[1]^4*b[1]*c[1]])/
   94143178827 - (118527861760*f[a[2]^3]^2*f[a[1]^4*b[1]*c[1]])/
   94143178827 + (103840*f[a[1]]*f[a[3]]*f[a[1]^4*b[1]*c[1]])/531441 - 
  (7685216*f[a[1]^3]*f[a[3]]*f[a[1]^4*b[1]*c[1]])/14348907 - 
  (192475360*f[a[1]^5]*f[a[3]]*f[a[1]^4*b[1]*c[1]])/129140163 + 
  (239153728*f[a[1]*a[2]^2]*f[a[3]]*f[a[1]^4*b[1]*c[1]])/129140163 + 
  (2660240*f[a[3]]^2*f[a[1]^4*b[1]*c[1]])/14348907 + 
  (130240*f[1]*f[a[1]*a[3]]*f[a[1]^4*b[1]*c[1]])/531441 - 
  (8862656*f[a[1]^2]*f[a[1]*a[3]]*f[a[1]^4*b[1]*c[1]])/14348907 - 
  (168384832*f[a[1]^4]*f[a[1]*a[3]]*f[a[1]^4*b[1]*c[1]])/129140163 - 
  (4552313920*f[a[1]^6]*f[a[1]*a[3]]*f[a[1]^4*b[1]*c[1]])/1162261467 + 
  (642925184*f[a[2]^2]*f[a[1]*a[3]]*f[a[1]^4*b[1]*c[1]])/387420489 - 
  (79520363648*f[a[1]^2*a[2]^2]*f[a[1]*a[3]]*f[a[1]^4*b[1]*c[1]])/
   10460353203 - (513092096*f[a[1]*a[3]]^2*f[a[1]^4*b[1]*c[1]])/
   387420489 - (13292576*f[a[1]]*f[a[1]^2*a[3]]*f[a[1]^4*b[1]*c[1]])/
   14348907 - (19748960*f[a[1]^3]*f[a[1]^2*a[3]]*f[a[1]^4*b[1]*c[1]])/
   14348907 - (6018849760*f[a[1]^5]*f[a[1]^2*a[3]]*
     f[a[1]^4*b[1]*c[1]])/1162261467 - 
  (77235528128*f[a[1]*a[2]^2]*f[a[1]^2*a[3]]*f[a[1]^4*b[1]*c[1]])/
   10460353203 - (1141715872*f[a[3]]*f[a[1]^2*a[3]]*
     f[a[1]^4*b[1]*c[1]])/387420489 + 
  (29148419344*f[a[1]^2*a[3]]^2*f[a[1]^4*b[1]*c[1]])/10460353203 - 
  (24301376*f[1]*f[a[1]^3*a[3]]*f[a[1]^4*b[1]*c[1]])/14348907 - 
  (147805504*f[a[1]^2]*f[a[1]^3*a[3]]*f[a[1]^4*b[1]*c[1]])/129140163 - 
  (3790553536*f[a[1]^4]*f[a[1]^3*a[3]]*f[a[1]^4*b[1]*c[1]])/
   1162261467 - (787121473600*f[a[1]^6]*f[a[1]^3*a[3]]*
     f[a[1]^4*b[1]*c[1]])/31381059609 - 
  (30595697792*f[a[2]^2]*f[a[1]^3*a[3]]*f[a[1]^4*b[1]*c[1]])/
   3486784401 - (998349126016*f[a[1]^2*a[2]^2]*f[a[1]^3*a[3]]*
     f[a[1]^4*b[1]*c[1]])/94143178827 + 
  (78058449920*f[a[1]*a[3]]*f[a[1]^3*a[3]]*f[a[1]^4*b[1]*c[1]])/
   10460353203 + (179711189504*f[a[1]^3*a[3]]^2*f[a[1]^4*b[1]*c[1]])/
   10460353203 - (361529344*f[a[1]*a[2]]*f[a[2]*a[3]]*
     f[a[1]^4*b[1]*c[1]])/387420489 + 
  (8661204992*f[a[1]^3*a[2]]*f[a[2]*a[3]]*f[a[1]^4*b[1]*c[1]])/
   1162261467 + (7488126976*f[a[2]*a[3]]^2*f[a[1]^4*b[1]*c[1]])/
   10460353203 - (261505024*f[a[2]]*f[a[1]*a[2]*a[3]]*
     f[a[1]^4*b[1]*c[1]])/387420489 + 
  (47020982272*f[a[1]^2*a[2]]*f[a[1]*a[2]*a[3]]*f[a[1]^4*b[1]*c[1]])/
   10460353203 + (421996478464*f[a[1]^4*a[2]]*f[a[1]*a[2]*a[3]]*
     f[a[1]^4*b[1]*c[1]])/282429536481 + 
  (1035077255168*f[a[2]^3]*f[a[1]*a[2]*a[3]]*f[a[1]^4*b[1]*c[1]])/
   282429536481 - (704830111744*f[a[1]*a[2]*a[3]]^2*f[a[1]^4*b[1]*c[1]])/
   282429536481 - (829070*f[1]*f[a[3]^2]*f[a[1]^4*b[1]*c[1]])/
   14348907 + (118553798*f[a[1]^2]*f[a[3]^2]*f[a[1]^4*b[1]*c[1]])/
   387420489 - (10403500954*f[a[1]^4]*f[a[3]^2]*f[a[1]^4*b[1]*c[1]])/
   10460353203 + (33859079870*f[a[1]^6]*f[a[3]^2]*f[a[1]^4*b[1]*c[1]])/
   10460353203 - (50790212*f[a[2]^2]*f[a[3]^2]*f[a[1]^4*b[1]*c[1]])/
   10460353203 - (42267324748*f[a[1]^2*a[2]^2]*f[a[3]^2]*
     f[a[1]^4*b[1]*c[1]])/31381059609 + 
  (661901504*f[a[1]*a[3]]*f[a[3]^2]*f[a[1]^4*b[1]*c[1]])/1162261467 - 
  (15265207232*f[a[1]^3*a[3]]*f[a[3]^2]*f[a[1]^4*b[1]*c[1]])/
   10460353203 + (17277847609*f[a[3]^2]^2*f[a[1]^4*b[1]*c[1]])/
   31381059609 - (21063680*f[a[2]]*f[a[4]]*f[a[1]^4*b[1]*c[1]])/
   43046721 + (2896627712*f[a[1]^2*a[2]]*f[a[4]]*f[a[1]^4*b[1]*c[1]])/
   1162261467 - (215241816064*f[a[1]^4*a[2]]*f[a[4]]*
     f[a[1]^4*b[1]*c[1]])/31381059609 + 
  (2774233088*f[a[2]^3]*f[a[4]]*f[a[1]^4*b[1]*c[1]])/3486784401 - 
  (20074790912*f[a[1]*a[2]*a[3]]*f[a[4]]*f[a[1]^4*b[1]*c[1]])/
   10460353203 - (56995840*f[a[4]]^2*f[a[1]^4*b[1]*c[1]])/387420489 + 
  (2481324032*f[a[1]*a[2]]*f[a[1]*a[4]]*f[a[1]^4*b[1]*c[1]])/
   1162261467 - (49769218048*f[a[1]^3*a[2]]*f[a[1]*a[4]]*
     f[a[1]^4*b[1]*c[1]])/31381059609 - 
  (20388380672*f[a[2]*a[3]]*f[a[1]*a[4]]*f[a[1]^4*b[1]*c[1]])/
   10460353203 + (13751812096*f[a[1]*a[4]]^2*f[a[1]^4*b[1]*c[1]])/
   10460353203 + (2896627712*f[a[2]]*f[a[1]^2*a[4]]*
     f[a[1]^4*b[1]*c[1]])/1162261467 - 
  (10919028736*f[a[1]^2*a[2]]*f[a[1]^2*a[4]]*f[a[1]^4*b[1]*c[1]])/
   31381059609 - (1628598974464*f[a[1]^4*a[2]]*f[a[1]^2*a[4]]*
     f[a[1]^4*b[1]*c[1]])/282429536481 - 
  (91469582336*f[a[2]^3]*f[a[1]^2*a[4]]*f[a[1]^4*b[1]*c[1]])/
   31381059609 + (1831458635776*f[a[1]*a[2]*a[3]]*f[a[1]^2*a[4]]*
     f[a[1]^4*b[1]*c[1]])/282429536481 + 
  (30005583872*f[a[4]]*f[a[1]^2*a[4]]*f[a[1]^4*b[1]*c[1]])/
   10460353203 - (1013931978752*f[a[1]^2*a[4]]^2*f[a[1]^4*b[1]*c[1]])/
   282429536481 + (20500480*f[1]*f[a[2]*a[4]]*f[a[1]^4*b[1]*c[1]])/
   43046721 - (3524595712*f[a[1]^2]*f[a[2]*a[4]]*f[a[1]^4*b[1]*c[1]])/
   1162261467 + (430483632128*f[a[1]^4]*f[a[2]*a[4]]*
     f[a[1]^4*b[1]*c[1]])/31381059609 - 
  (5040845680640*f[a[1]^6]*f[a[2]*a[4]]*f[a[1]^4*b[1]*c[1]])/
   94143178827 + (5901344768*f[a[2]^2]*f[a[2]*a[4]]*
     f[a[1]^4*b[1]*c[1]])/31381059609 - 
  (3012996816896*f[a[1]^2*a[2]^2]*f[a[2]*a[4]]*f[a[1]^4*b[1]*c[1]])/
   847288609443 + (16016146432*f[a[1]*a[3]]*f[a[2]*a[4]]*
     f[a[1]^4*b[1]*c[1]])/10460353203 - 
  (2560420020224*f[a[1]^3*a[3]]*f[a[2]*a[4]]*f[a[1]^4*b[1]*c[1]])/
   282429536481 + (24369393664*f[a[3]^2]*f[a[2]*a[4]]*
     f[a[1]^4*b[1]*c[1]])/282429536481 - 
  (706570354688*f[a[2]*a[4]]^2*f[a[1]^4*b[1]*c[1]])/847288609443 - 
  (6749600*f[a[1]]*f[a[5]]*f[a[1]^4*b[1]*c[1]])/43046721 + 
  (499539040*f[a[1]^3]*f[a[5]]*f[a[1]^4*b[1]*c[1]])/1162261467 + 
  (12510898400*f[a[1]^5]*f[a[5]]*f[a[1]^4*b[1]*c[1]])/10460353203 - 
  (6317523520*f[a[1]*a[2]^2]*f[a[5]]*f[a[1]^4*b[1]*c[1]])/10460353203 + 
  (1117600*f[a[3]]*f[a[5]]*f[a[1]^4*b[1]*c[1]])/387420489 + 
  (11762080*f[a[1]^2*a[3]]*f[a[5]]*f[a[1]^4*b[1]*c[1]])/387420489 + 
  (9881630000*f[a[5]]^2*f[a[1]^4*b[1]*c[1]])/31381059609 - 
  (8465600*f[1]*f[a[1]*a[5]]*f[a[1]^4*b[1]*c[1]])/43046721 + 
  (576072640*f[a[1]^2]*f[a[1]*a[5]]*f[a[1]^4*b[1]*c[1]])/1162261467 + 
  (10945014080*f[a[1]^4]*f[a[1]*a[5]]*f[a[1]^4*b[1]*c[1]])/
   10460353203 + (295900404800*f[a[1]^6]*f[a[1]*a[5]]*
     f[a[1]^4*b[1]*c[1]])/94143178827 - 
  (11945042560*f[a[2]^2]*f[a[1]*a[5]]*f[a[1]^4*b[1]*c[1]])/
   31381059609 + (2627838252160*f[a[1]^2*a[2]^2]*f[a[1]*a[5]]*
     f[a[1]^4*b[1]*c[1]])/847288609443 + 
  (86225920*f[a[1]*a[3]]*f[a[1]*a[5]]*f[a[1]^4*b[1]*c[1]])/3486784401 - 
  (64869770240*f[a[1]^3*a[3]]*f[a[1]*a[5]]*f[a[1]^4*b[1]*c[1]])/
   282429536481 + (2781085120*f[a[3]^2]*f[a[1]*a[5]]*
     f[a[1]^4*b[1]*c[1]])/282429536481 + 
  (1863873003520*f[a[2]*a[4]]*f[a[1]*a[5]]*f[a[1]^4*b[1]*c[1]])/
   847288609443 - (208990707200*f[a[1]*a[5]]^2*f[a[1]^4*b[1]*c[1]])/
   94143178827 + (14502400*f[a[2]]*f[a[6]]*f[a[1]^4*b[1]*c[1]])/
   43046721 - (5955868160*f[a[1]^2*a[2]]*f[a[6]]*f[a[1]^4*b[1]*c[1]])/
   3486784401 + (438211316224*f[a[1]^4*a[2]]*f[a[6]]*
     f[a[1]^4*b[1]*c[1]])/94143178827 - 
  (48413742080*f[a[2]^3]*f[a[6]]*f[a[1]^4*b[1]*c[1]])/94143178827 + 
  (240881090560*f[a[1]*a[2]*a[3]]*f[a[6]]*f[a[1]^4*b[1]*c[1]])/
   282429536481 - (490547200*f[a[4]]*f[a[6]]*f[a[1]^4*b[1]*c[1]])/
   3486784401 + (64853493760*f[a[1]^2*a[4]]*f[a[6]]*
     f[a[1]^4*b[1]*c[1]])/94143178827 - 
  (31145734400*f[a[6]]^2*f[a[1]^4*b[1]*c[1]])/94143178827 + 
  (950*f[1]*f[b[1]*c[1]]*f[a[1]^4*b[1]*c[1]])/19683 - 
  (199310*f[a[1]^2]*f[b[1]*c[1]]*f[a[1]^4*b[1]*c[1]])/531441 + 
  (25830994*f[a[1]^4]*f[b[1]*c[1]]*f[a[1]^4*b[1]*c[1]])/14348907 - 
  (63514150*f[a[1]^6]*f[b[1]*c[1]]*f[a[1]^4*b[1]*c[1]])/14348907 - 
  (3038860*f[a[2]^2]*f[b[1]*c[1]]*f[a[1]^4*b[1]*c[1]])/14348907 + 
  (35420636*f[a[1]^2*a[2]^2]*f[b[1]*c[1]]*f[a[1]^4*b[1]*c[1]])/
   43046721 + (224960*f[a[1]*a[3]]*f[b[1]*c[1]]*f[a[1]^4*b[1]*c[1]])/
   4782969 - (41975104*f[a[1]^3*a[3]]*f[b[1]*c[1]]*
     f[a[1]^4*b[1]*c[1]])/129140163 - 
  (1432030*f[a[3]^2]*f[b[1]*c[1]]*f[a[1]^4*b[1]*c[1]])/129140163 + 
  (35409920*f[a[2]*a[4]]*f[b[1]*c[1]]*f[a[1]^4*b[1]*c[1]])/387420489 - 
  (14622400*f[a[1]*a[5]]*f[b[1]*c[1]]*f[a[1]^4*b[1]*c[1]])/387420489 + 
  (25*f[b[1]*c[1]]^2*f[a[1]^4*b[1]*c[1]])/6561 - 
  (179360*f[a[1]]*f[a[1]*b[1]*c[1]]*f[a[1]^4*b[1]*c[1]])/531441 + 
  (13274464*f[a[1]^3]*f[a[1]*b[1]*c[1]]*f[a[1]^4*b[1]*c[1]])/14348907 + 
  (332457440*f[a[1]^5]*f[a[1]*b[1]*c[1]]*f[a[1]^4*b[1]*c[1]])/
   129140163 + (354584384*f[a[1]*a[2]^2]*f[a[1]*b[1]*c[1]]*
     f[a[1]^4*b[1]*c[1]])/387420489 + 
  (179360*f[a[3]]*f[a[1]*b[1]*c[1]]*f[a[1]^4*b[1]*c[1]])/4782969 - 
  (22959904*f[a[1]^2*a[3]]*f[a[1]*b[1]*c[1]]*f[a[1]^4*b[1]*c[1]])/
   129140163 - (11658400*f[a[5]]*f[a[1]*b[1]*c[1]]*
     f[a[1]^4*b[1]*c[1]])/387420489 - 
  (4720*f[a[1]*b[1]*c[1]]^2*f[a[1]^4*b[1]*c[1]])/177147 - 
  (199310*f[1]*f[a[1]^2*b[1]*c[1]]*f[a[1]^4*b[1]*c[1]])/531441 + 
  (9926854*f[a[1]^2]*f[a[1]^2*b[1]*c[1]]*f[a[1]^4*b[1]*c[1]])/
   14348907 + (523325474*f[a[1]^4]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]^4*b[1]*c[1]])/129140163 + 
  (2718441530*f[a[1]^6]*f[a[1]^2*b[1]*c[1]]*f[a[1]^4*b[1]*c[1]])/
   1162261467 + (525797564*f[a[2]^2]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]^4*b[1]*c[1]])/387420489 - 
  (338588588*f[a[1]^2*a[2]^2]*f[a[1]^2*b[1]*c[1]]*f[a[1]^4*b[1]*c[1]])/
   10460353203 - (15308224*f[a[1]*a[3]]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]^4*b[1]*c[1]])/129140163 - 
  (255300416*f[a[1]^3*a[3]]*f[a[1]^2*b[1]*c[1]]*f[a[1]^4*b[1]*c[1]])/
   1162261467 + (204774742*f[a[3]^2]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]^4*b[1]*c[1]])/3486784401 - 
  (6087938048*f[a[2]*a[4]]*f[a[1]^2*b[1]*c[1]]*f[a[1]^4*b[1]*c[1]])/
   10460353203 + (995034560*f[a[1]*a[5]]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]^4*b[1]*c[1]])/10460353203 - 
  (10490*f[b[1]*c[1]]*f[a[1]^2*b[1]*c[1]]*f[a[1]^4*b[1]*c[1]])/177147 + 
  (261233*f[a[1]^2*b[1]*c[1]]^2*f[a[1]^4*b[1]*c[1]])/4782969 + 
  (13274464*f[a[1]]*f[a[1]^3*b[1]*c[1]]*f[a[1]^4*b[1]*c[1]])/14348907 + 
  (20220256*f[a[1]^3]*f[a[1]^3*b[1]*c[1]]*f[a[1]^4*b[1]*c[1]])/
   4782969 + (16380428960*f[a[1]^5]*f[a[1]^3*b[1]*c[1]]*
     f[a[1]^4*b[1]*c[1]])/1162261467 - 
  (180728000*f[a[1]*a[2]^2]*f[a[1]^3*b[1]*c[1]]*f[a[1]^4*b[1]*c[1]])/
   129140163 - (13274464*f[a[3]]*f[a[1]^3*b[1]*c[1]]*
     f[a[1]^4*b[1]*c[1]])/129140163 - 
  (34111840*f[a[1]^2*a[3]]*f[a[1]^3*b[1]*c[1]]*f[a[1]^4*b[1]*c[1]])/
   129140163 + (862840160*f[a[5]]*f[a[1]^3*b[1]*c[1]]*
     f[a[1]^4*b[1]*c[1]])/10460353203 + 
  (698656*f[a[1]*b[1]*c[1]]*f[a[1]^3*b[1]*c[1]]*f[a[1]^4*b[1]*c[1]])/
   4782969 + (532112*f[a[1]^3*b[1]*c[1]]^2*f[a[1]^4*b[1]*c[1]])/1594323 + 
  (12915497*f[1]*f[a[1]^4*b[1]*c[1]]^2)/14348907 + 
  (261662737*f[a[1]^2]*f[a[1]^4*b[1]*c[1]]^2)/129140163 + 
  (10338553771*f[a[1]^4]*f[a[1]^4*b[1]*c[1]]^2)/1162261467 + 
  (789883609165*f[a[1]^6]*f[a[1]^4*b[1]*c[1]]^2)/31381059609 - 
  (32178612610*f[a[2]^2]*f[a[1]^4*b[1]*c[1]]^2)/10460353203 - 
  (776000888950*f[a[1]^2*a[2]^2]*f[a[1]^4*b[1]*c[1]]^2)/282429536481 - 
  (145423264*f[a[1]*a[3]]*f[a[1]^4*b[1]*c[1]]^2)/1162261467 - 
  (3273659872*f[a[1]^3*a[3]]*f[a[1]^4*b[1]*c[1]]^2)/10460353203 - 
  (8984841733*f[a[3]^2]*f[a[1]^4*b[1]*c[1]]^2)/94143178827 + 
  (371781318656*f[a[2]*a[4]]*f[a[1]^4*b[1]*c[1]]^2)/282429536481 + 
  (9452512160*f[a[1]*a[5]]*f[a[1]^4*b[1]*c[1]]^2)/94143178827 + 
  (679763*f[b[1]*c[1]]*f[a[1]^4*b[1]*c[1]]^2)/4782969 + 
  (13771723*f[a[1]^2*b[1]*c[1]]*f[a[1]^4*b[1]*c[1]]^2)/43046721 + 
  (544134409*f[a[1]^4*b[1]*c[1]]^3)/1162261467 - 
  (5632*f[1]*f[a[2]]*f[a[2]*b[1]*c[1]])/2187 - 
  (95744*f[a[1]^2]*f[a[2]]*f[a[2]*b[1]*c[1]])/177147 + 
  (1379840*f[a[1]^4]*f[a[2]]*f[a[2]*b[1]*c[1]])/1594323 - 
  (704000*f[a[1]^6]*f[a[2]]*f[a[2]*b[1]*c[1]])/531441 - 
  (180224*f[a[1]]*f[a[1]*a[2]]*f[a[2]*b[1]*c[1]])/177147 - 
  (1982464*f[a[1]^3]*f[a[1]*a[2]]*f[a[2]*b[1]*c[1]])/1594323 + 
  (4505600*f[a[1]^5]*f[a[1]*a[2]]*f[a[2]*b[1]*c[1]])/1594323 + 
  (28160*f[1]*f[a[1]^2*a[2]]*f[a[2]*b[1]*c[1]])/59049 - 
  (2404864*f[a[1]^2]*f[a[1]^2*a[2]]*f[a[2]*b[1]*c[1]])/4782969 - 
  (162612736*f[a[1]^4]*f[a[1]^2*a[2]]*f[a[2]*b[1]*c[1]])/43046721 + 
  (4348326400*f[a[1]^6]*f[a[1]^2*a[2]]*f[a[2]*b[1]*c[1]])/387420489 + 
  (901120*f[a[1]]*f[a[1]^3*a[2]]*f[a[2]*b[1]*c[1]])/1594323 + 
  (9912320*f[a[1]^3]*f[a[1]^3*a[2]]*f[a[2]*b[1]*c[1]])/14348907 - 
  (16588718080*f[a[1]^5]*f[a[1]^3*a[2]]*f[a[2]*b[1]*c[1]])/1162261467 - 
  (140800*f[1]*f[a[1]^4*a[2]]*f[a[2]*b[1]*c[1]])/531441 + 
  (8814080*f[a[1]^2]*f[a[1]^4*a[2]]*f[a[2]*b[1]*c[1]])/14348907 + 
  (7727684096*f[a[1]^4]*f[a[1]^4*a[2]]*f[a[2]*b[1]*c[1]])/1162261467 - 
  (675290344960*f[a[1]^6]*f[a[1]^4*a[2]]*f[a[2]*b[1]*c[1]])/
   10460353203 + (11264*f[a[2]]*f[a[2]^2]*f[a[2]*b[1]*c[1]])/2187 + 
  (5080064*f[a[1]^2*a[2]]*f[a[2]^2]*f[a[2]*b[1]*c[1]])/43046721 - 
  (256087040*f[a[1]^4*a[2]]*f[a[2]^2]*f[a[2]*b[1]*c[1]])/387420489 + 
  (133726208*f[a[1]*a[2]]*f[a[1]*a[2]^2]*f[a[2]*b[1]*c[1]])/43046721 + 
  (946896896*f[a[1]^3*a[2]]*f[a[1]*a[2]^2]*f[a[2]*b[1]*c[1]])/
   1162261467 - (45743104*f[a[2]]*f[a[1]^2*a[2]^2]*f[a[2]*b[1]*c[1]])/
   43046721 + (11580326912*f[a[1]^2*a[2]]*f[a[1]^2*a[2]^2]*
     f[a[2]*b[1]*c[1]])/3486784401 + 
  (123850664960*f[a[1]^4*a[2]]*f[a[1]^2*a[2]^2]*f[a[2]*b[1]*c[1]])/
   31381059609 - (146432*f[1]*f[a[2]^3]*f[a[2]*b[1]*c[1]])/177147 - 
  (16208896*f[a[1]^2]*f[a[2]^3]*f[a[2]*b[1]*c[1]])/4782969 + 
  (1522453504*f[a[1]^4]*f[a[2]^3]*f[a[2]*b[1]*c[1]])/1162261467 + 
  (17467366400*f[a[1]^6]*f[a[2]^3]*f[a[2]*b[1]*c[1]])/10460353203 - 
  (667031552*f[a[2]^2]*f[a[2]^3]*f[a[2]*b[1]*c[1]])/43046721 + 
  (107210752*f[a[1]^2*a[2]^2]*f[a[2]^3]*f[a[2]*b[1]*c[1]])/43046721 + 
  (180224*f[a[1]*a[2]]*f[a[3]]*f[a[2]*b[1]*c[1]])/177147 - 
  (901120*f[a[1]^3*a[2]]*f[a[3]]*f[a[2]*b[1]*c[1]])/1594323 - 
  (360448*f[a[2]]*f[a[1]*a[3]]*f[a[2]*b[1]*c[1]])/177147 + 
  (65241088*f[a[1]^2*a[2]]*f[a[1]*a[3]]*f[a[2]*b[1]*c[1]])/43046721 - 
  (571310080*f[a[1]^4*a[2]]*f[a[1]*a[3]]*f[a[2]*b[1]*c[1]])/387420489 - 
  (258801664*f[a[2]^3]*f[a[1]*a[3]]*f[a[2]*b[1]*c[1]])/43046721 - 
  (34422784*f[a[1]*a[2]]*f[a[1]^2*a[3]]*f[a[2]*b[1]*c[1]])/14348907 + 
  (1254539264*f[a[1]^3*a[2]]*f[a[1]^2*a[3]]*f[a[2]*b[1]*c[1]])/
   387420489 + (10452992*f[a[2]]*f[a[1]^3*a[3]]*f[a[2]*b[1]*c[1]])/
   14348907 - (560496640*f[a[1]^2*a[2]]*f[a[1]^3*a[3]]*
     f[a[2]*b[1]*c[1]])/129140163 + 
  (31317524480*f[a[1]^4*a[2]]*f[a[1]^3*a[3]]*f[a[2]*b[1]*c[1]])/
   3486784401 - (7996899328*f[a[2]^3]*f[a[1]^3*a[3]]*
     f[a[2]*b[1]*c[1]])/3486784401 + 
  (180224*f[a[1]]*f[a[2]*a[3]]*f[a[2]*b[1]*c[1]])/177147 - 
  (5226496*f[a[1]^3]*f[a[2]*a[3]]*f[a[2]*b[1]*c[1]])/14348907 + 
  (58572800*f[a[1]^5]*f[a[2]*a[3]]*f[a[2]*b[1]*c[1]])/387420489 - 
  (32079872*f[a[1]*a[2]^2]*f[a[2]*a[3]]*f[a[2]*b[1]*c[1]])/129140163 - 
  (37666816*f[a[3]]*f[a[2]*a[3]]*f[a[2]*b[1]*c[1]])/14348907 - 
  (718192640*f[a[1]^2*a[3]]*f[a[2]*a[3]]*f[a[2]*b[1]*c[1]])/
   1162261467 - (180224*f[1]*f[a[1]*a[2]*a[3]]*f[a[2]*b[1]*c[1]])/
   531441 + (15319040*f[a[1]^2]*f[a[1]*a[2]*a[3]]*f[a[2]*b[1]*c[1]])/
   14348907 - (261505024*f[a[1]^4]*f[a[1]*a[2]*a[3]]*
     f[a[2]*b[1]*c[1]])/387420489 + 
  (301875200*f[a[1]^6]*f[a[1]*a[2]*a[3]]*f[a[2]*b[1]*c[1]])/
   1162261467 + (318275584*f[a[2]^2]*f[a[1]*a[2]*a[3]]*
     f[a[2]*b[1]*c[1]])/129140163 - 
  (15460696064*f[a[1]^2*a[2]^2]*f[a[1]*a[2]*a[3]]*f[a[2]*b[1]*c[1]])/
   10460353203 - (1335099392*f[a[1]*a[3]]*f[a[1]*a[2]*a[3]]*
     f[a[2]*b[1]*c[1]])/1162261467 - 
  (14824505344*f[a[1]^3*a[3]]*f[a[1]*a[2]*a[3]]*f[a[2]*b[1]*c[1]])/
   10460353203 - (35521024*f[a[2]]*f[a[3]^2]*f[a[2]*b[1]*c[1]])/
   14348907 + (82446848*f[a[1]^2*a[2]]*f[a[3]^2]*f[a[2]*b[1]*c[1]])/
   387420489 + (63557120*f[a[1]^4*a[2]]*f[a[3]^2]*f[a[2]*b[1]*c[1]])/
   3486784401 - (11304449024*f[a[2]^3]*f[a[3]^2]*f[a[2]*b[1]*c[1]])/
   1162261467 + (9339387904*f[a[1]*a[2]*a[3]]*f[a[3]^2]*
     f[a[2]*b[1]*c[1]])/3486784401 + 
  (22528*f[1]*f[a[4]]*f[a[2]*b[1]*c[1]])/177147 + 
  (2050048*f[a[1]^2]*f[a[4]]*f[a[2]*b[1]*c[1]])/4782969 - 
  (21063680*f[a[1]^4]*f[a[4]]*f[a[2]*b[1]*c[1]])/43046721 + 
  (796928000*f[a[1]^6]*f[a[4]]*f[a[2]*b[1]*c[1]])/1162261467 - 
  (45056*f[a[2]^2]*f[a[4]]*f[a[2]*b[1]*c[1]])/177147 + 
  (36990976*f[a[1]^2*a[2]^2]*f[a[4]]*f[a[2]*b[1]*c[1]])/387420489 - 
  (36044800*f[a[1]*a[3]]*f[a[4]]*f[a[2]*b[1]*c[1]])/43046721 + 
  (249430016*f[a[1]^3*a[3]]*f[a[4]]*f[a[2]*b[1]*c[1]])/387420489 - 
  (4788844544*f[a[3]^2]*f[a[4]]*f[a[2]*b[1]*c[1]])/1162261467 - 
  (720896*f[a[1]]*f[a[1]*a[4]]*f[a[2]*b[1]*c[1]])/4782969 + 
  (38207488*f[a[1]^3]*f[a[1]*a[4]]*f[a[2]*b[1]*c[1]])/43046721 - 
  (1820262400*f[a[1]^5]*f[a[1]*a[4]]*f[a[2]*b[1]*c[1]])/1162261467 - 
  (2086273024*f[a[1]*a[2]^2]*f[a[1]*a[4]]*f[a[2]*b[1]*c[1]])/
   3486784401 + (52625408*f[a[3]]*f[a[1]*a[4]]*f[a[2]*b[1]*c[1]])/
   43046721 - (506789888*f[a[1]^2*a[3]]*f[a[1]*a[4]]*
     f[a[2]*b[1]*c[1]])/387420489 - 
  (112640*f[1]*f[a[1]^2*a[4]]*f[a[2]*b[1]*c[1]])/4782969 - 
  (7546880*f[a[1]^2]*f[a[1]^2*a[4]]*f[a[2]*b[1]*c[1]])/14348907 + 
  (2896627712*f[a[1]^4]*f[a[1]^2*a[4]]*f[a[2]*b[1]*c[1]])/1162261467 - 
  (191705958400*f[a[1]^6]*f[a[1]^2*a[4]]*f[a[2]*b[1]*c[1]])/
   31381059609 - (20320256*f[a[2]^2]*f[a[1]^2*a[4]]*f[a[2]*b[1]*c[1]])/
   3486784401 - (33243172864*f[a[1]^2*a[2]^2]*f[a[1]^2*a[4]]*
     f[a[2]*b[1]*c[1]])/31381059609 + 
  (632946688*f[a[1]*a[3]]*f[a[1]^2*a[4]]*f[a[2]*b[1]*c[1]])/387420489 - 
  (31617056768*f[a[1]^3*a[3]]*f[a[1]^2*a[4]]*f[a[2]*b[1]*c[1]])/
   10460353203 + (13805541376*f[a[3]^2]*f[a[1]^2*a[4]]*
     f[a[2]*b[1]*c[1]])/31381059609 - 
  (184549376*f[a[1]^2*a[2]]*f[a[2]*a[4]]*f[a[2]*b[1]*c[1]])/
   3486784401 + (1845493760*f[a[1]^4*a[2]]*f[a[2]*a[4]]*
     f[a[2]*b[1]*c[1]])/31381059609 + 
  (2952790016*f[a[2]^3]*f[a[2]*a[4]]*f[a[2]*b[1]*c[1]])/3486784401 - 
  (922746880*f[a[1]*a[2]*a[3]]*f[a[2]*a[4]]*f[a[2]*b[1]*c[1]])/
   10460353203 + (18454937600*f[a[4]]*f[a[2]*a[4]]*f[a[2]*b[1]*c[1]])/
   3486784401 + (104824045568*f[a[1]^2*a[4]]*f[a[2]*a[4]]*
     f[a[2]*b[1]*c[1]])/94143178827 - 
  (20725760*f[a[1]*a[2]]*f[a[5]]*f[a[2]*b[1]*c[1]])/43046721 + 
  (103628800*f[a[1]^3*a[2]]*f[a[5]]*f[a[2]*b[1]*c[1]])/387420489 - 
  (53166080*f[a[2]*a[3]]*f[a[5]]*f[a[2]*b[1]*c[1]])/129140163 + 
  (5518458880*f[a[1]*a[4]]*f[a[5]]*f[a[2]*b[1]*c[1]])/3486784401 + 
  (41451520*f[a[2]]*f[a[1]*a[5]]*f[a[2]*b[1]*c[1]])/43046721 - 
  (2424012800*f[a[1]^2*a[2]]*f[a[1]*a[5]]*f[a[2]*b[1]*c[1]])/
   3486784401 + (21131264000*f[a[1]^4*a[2]]*f[a[1]*a[5]]*
     f[a[2]*b[1]*c[1]])/31381059609 + 
  (8690401280*f[a[2]^3]*f[a[1]*a[5]]*f[a[2]*b[1]*c[1]])/3486784401 - 
  (764149760*f[a[1]*a[2]*a[3]]*f[a[1]*a[5]]*f[a[2]*b[1]*c[1]])/
   10460353203 - (2025717760*f[a[4]]*f[a[1]*a[5]]*f[a[2]*b[1]*c[1]])/
   1162261467 + (204727255040*f[a[1]^2*a[4]]*f[a[1]*a[5]]*
     f[a[2]*b[1]*c[1]])/94143178827 - 
  (61952*f[1]*f[a[6]]*f[a[2]*b[1]*c[1]])/531441 - 
  (4195840*f[a[1]^2]*f[a[6]]*f[a[2]*b[1]*c[1]])/14348907 + 
  (14502400*f[a[1]^4]*f[a[6]]*f[a[2]*b[1]*c[1]])/43046721 - 
  (1650880000*f[a[1]^6]*f[a[6]]*f[a[2]*b[1]*c[1]])/3486784401 + 
  (123904*f[a[2]^2]*f[a[6]]*f[a[2]*b[1]*c[1]])/531441 - 
  (267688960*f[a[1]^2*a[2]^2]*f[a[6]]*f[a[2]*b[1]*c[1]])/3486784401 + 
  (250511360*f[a[1]*a[3]]*f[a[6]]*f[a[2]*b[1]*c[1]])/1162261467 - 
  (2550169600*f[a[1]^3*a[3]]*f[a[6]]*f[a[2]*b[1]*c[1]])/10460353203 + 
  (1926712832*f[a[3]^2]*f[a[6]]*f[a[2]*b[1]*c[1]])/1162261467 - 
  (1476395008*f[a[2]*a[4]]*f[a[6]]*f[a[2]*b[1]*c[1]])/10460353203 - 
  (19094732800*f[a[1]*a[5]]*f[a[6]]*f[a[2]*b[1]*c[1]])/10460353203 - 
  (9728*f[a[2]]*f[b[1]*c[1]]*f[a[2]*b[1]*c[1]])/19683 + 
  (48640*f[a[1]^2*a[2]]*f[b[1]*c[1]]*f[a[2]*b[1]*c[1]])/531441 - 
  (243200*f[a[1]^4*a[2]]*f[b[1]*c[1]]*f[a[2]*b[1]*c[1]])/4782969 - 
  (252928*f[a[2]^3]*f[b[1]*c[1]]*f[a[2]*b[1]*c[1]])/1594323 - 
  (311296*f[a[1]*a[2]*a[3]]*f[b[1]*c[1]]*f[a[2]*b[1]*c[1]])/4782969 + 
  (38912*f[a[4]]*f[b[1]*c[1]]*f[a[2]*b[1]*c[1]])/1594323 - 
  (194560*f[a[1]^2*a[4]]*f[b[1]*c[1]]*f[a[2]*b[1]*c[1]])/43046721 - 
  (107008*f[a[6]]*f[b[1]*c[1]]*f[a[2]*b[1]*c[1]])/4782969 - 
  (311296*f[a[1]*a[2]]*f[a[1]*b[1]*c[1]]*f[a[2]*b[1]*c[1]])/1594323 + 
  (1556480*f[a[1]^3*a[2]]*f[a[1]*b[1]*c[1]]*f[a[2]*b[1]*c[1]])/
   14348907 + (311296*f[a[2]*a[3]]*f[a[1]*b[1]*c[1]]*
     f[a[2]*b[1]*c[1]])/1594323 - 
  (1245184*f[a[1]*a[4]]*f[a[1]*b[1]*c[1]]*f[a[2]*b[1]*c[1]])/43046721 - 
  (165376*f[a[2]]*f[a[1]^2*b[1]*c[1]]*f[a[2]*b[1]*c[1]])/1594323 - 
  (4153856*f[a[1]^2*a[2]]*f[a[1]^2*b[1]*c[1]]*f[a[2]*b[1]*c[1]])/
   43046721 + (15224320*f[a[1]^4*a[2]]*f[a[1]^2*b[1]*c[1]]*
     f[a[2]*b[1]*c[1]])/129140163 - 
  (27997184*f[a[2]^3]*f[a[1]^2*b[1]*c[1]]*f[a[2]*b[1]*c[1]])/43046721 + 
  (26460160*f[a[1]*a[2]*a[3]]*f[a[1]^2*b[1]*c[1]]*f[a[2]*b[1]*c[1]])/
   129140163 + (3540992*f[a[4]]*f[a[1]^2*b[1]*c[1]]*f[a[2]*b[1]*c[1]])/
   43046721 - (13035520*f[a[1]^2*a[4]]*f[a[1]^2*b[1]*c[1]]*
     f[a[2]*b[1]*c[1]])/129140163 - 
  (7247360*f[a[6]]*f[a[1]^2*b[1]*c[1]]*f[a[2]*b[1]*c[1]])/129140163 - 
  (3424256*f[a[1]*a[2]]*f[a[1]^3*b[1]*c[1]]*f[a[2]*b[1]*c[1]])/
   14348907 + (17121280*f[a[1]^3*a[2]]*f[a[1]^3*b[1]*c[1]]*
     f[a[2]*b[1]*c[1]])/129140163 - 
  (9027584*f[a[2]*a[3]]*f[a[1]^3*b[1]*c[1]]*f[a[2]*b[1]*c[1]])/
   129140163 + (65994752*f[a[1]*a[4]]*f[a[1]^3*b[1]*c[1]]*
     f[a[2]*b[1]*c[1]])/387420489 + 
  (2383360*f[a[2]]*f[a[1]^4*b[1]*c[1]]*f[a[2]*b[1]*c[1]])/14348907 - 
  (280876544*f[a[1]^2*a[2]]*f[a[1]^4*b[1]*c[1]]*f[a[2]*b[1]*c[1]])/
   387420489 + (13347817984*f[a[1]^4*a[2]]*f[a[1]^4*b[1]*c[1]]*
     f[a[2]*b[1]*c[1]])/10460353203 + 
  (2629692416*f[a[2]^3]*f[a[1]^4*b[1]*c[1]]*f[a[2]*b[1]*c[1]])/
   10460353203 - (451690496*f[a[1]*a[2]*a[3]]*f[a[1]^4*b[1]*c[1]]*
     f[a[2]*b[1]*c[1]])/3486784401 - 
  (36382720*f[a[4]]*f[a[1]^4*b[1]*c[1]]*f[a[2]*b[1]*c[1]])/387420489 + 
  (5003266048*f[a[1]^2*a[4]]*f[a[1]^4*b[1]*c[1]]*f[a[2]*b[1]*c[1]])/
   10460353203 + (25049600*f[a[6]]*f[a[1]^4*b[1]*c[1]]*
     f[a[2]*b[1]*c[1]])/387420489 - 
  (4864*f[1]*f[a[2]*b[1]*c[1]]^2)/19683 - 
  (82688*f[a[1]^2]*f[a[2]*b[1]*c[1]]^2)/1594323 + 
  (1191680*f[a[1]^4]*f[a[2]*b[1]*c[1]]^2)/14348907 - 
  (608000*f[a[1]^6]*f[a[2]*b[1]*c[1]]^2)/4782969 + 
  (9728*f[a[2]^2]*f[a[2]*b[1]*c[1]]^2)/19683 - 
  (39505408*f[a[1]^2*a[2]^2]*f[a[2]*b[1]*c[1]]^2)/387420489 - 
  (311296*f[a[1]*a[3]]*f[a[2]*b[1]*c[1]]^2)/1594323 + 
  (9027584*f[a[1]^3*a[3]]*f[a[2]*b[1]*c[1]]^2)/129140163 - 
  (30677248*f[a[3]^2]*f[a[2]*b[1]*c[1]]^2)/129140163 + 
  (35799040*f[a[1]*a[5]]*f[a[2]*b[1]*c[1]]^2)/387420489 - 
  (256*f[b[1]*c[1]]*f[a[2]*b[1]*c[1]]^2)/6561 - 
  (4352*f[a[1]^2*b[1]*c[1]]*f[a[2]*b[1]*c[1]]^2)/531441 + 
  (62720*f[a[1]^4*b[1]*c[1]]*f[a[2]*b[1]*c[1]]^2)/4782969 - 
  (180224*f[a[1]]*f[a[2]]*f[a[1]*a[2]*b[1]*c[1]])/177147 - 
  (1982464*f[a[1]^3]*f[a[2]]*f[a[1]*a[2]*b[1]*c[1]])/1594323 + 
  (4505600*f[a[1]^5]*f[a[2]]*f[a[1]*a[2]*b[1]*c[1]])/1594323 - 
  (360448*f[1]*f[a[1]*a[2]]*f[a[1]*a[2]*b[1]*c[1]])/177147 - 
  (3964928*f[a[1]^2]*f[a[1]*a[2]]*f[a[1]*a[2]*b[1]*c[1]])/4782969 - 
  (135888896*f[a[1]^4]*f[a[1]*a[2]]*f[a[1]*a[2]*b[1]*c[1]])/43046721 + 
  (11903795200*f[a[1]^6]*f[a[1]*a[2]]*f[a[1]*a[2]*b[1]*c[1]])/
   1162261467 - (7749632*f[a[1]]*f[a[1]^2*a[2]]*
     f[a[1]*a[2]*b[1]*c[1]])/4782969 - 
  (39108608*f[a[1]^3]*f[a[1]^2*a[2]]*f[a[1]*a[2]*b[1]*c[1]])/43046721 - 
  (11839815680*f[a[1]^5]*f[a[1]^2*a[2]]*f[a[1]*a[2]*b[1]*c[1]])/
   1162261467 + (1802240*f[1]*f[a[1]^3*a[2]]*f[a[1]*a[2]*b[1]*c[1]])/
   1594323 - (24150016*f[a[1]^2]*f[a[1]^3*a[2]]*
     f[a[1]*a[2]*b[1]*c[1]])/14348907 - 
  (1099005952*f[a[1]^4]*f[a[1]^3*a[2]]*f[a[1]*a[2]*b[1]*c[1]])/
   1162261467 - (139642961920*f[a[1]^6]*f[a[1]^3*a[2]]*
     f[a[1]*a[2]*b[1]*c[1]])/3486784401 + 
  (82001920*f[a[1]]*f[a[1]^4*a[2]]*f[a[1]*a[2]*b[1]*c[1]])/43046721 - 
  (1630846976*f[a[1]^3]*f[a[1]^4*a[2]]*f[a[1]*a[2]*b[1]*c[1]])/
   1162261467 + (21263728640*f[a[1]^5]*f[a[1]^4*a[2]]*
     f[a[1]*a[2]*b[1]*c[1]])/31381059609 + 
  (82903040*f[a[1]*a[2]]*f[a[2]^2]*f[a[1]*a[2]*b[1]*c[1]])/43046721 + 
  (232849408*f[a[1]^3*a[2]]*f[a[2]^2]*f[a[1]*a[2]*b[1]*c[1]])/
   1162261467 + (133726208*f[a[2]]*f[a[1]*a[2]^2]*
     f[a[1]*a[2]*b[1]*c[1]])/43046721 + 
  (7654113280*f[a[1]^2*a[2]]*f[a[1]*a[2]^2]*f[a[1]*a[2]*b[1]*c[1]])/
   3486784401 + (55163322368*f[a[1]^4*a[2]]*f[a[1]*a[2]^2]*
     f[a[1]*a[2]*b[1]*c[1]])/31381059609 + 
  (13070565376*f[a[1]*a[2]]*f[a[1]^2*a[2]^2]*f[a[1]*a[2]*b[1]*c[1]])/
   3486784401 + (109046333440*f[a[1]^3*a[2]]*f[a[1]^2*a[2]^2]*
     f[a[1]*a[2]*b[1]*c[1]])/31381059609 + 
  (41451520*f[a[1]]*f[a[2]^3]*f[a[1]*a[2]*b[1]*c[1]])/14348907 - 
  (2323087360*f[a[1]^3]*f[a[2]^3]*f[a[1]*a[2]*b[1]*c[1]])/387420489 + 
  (65606942720*f[a[1]^5]*f[a[2]^3]*f[a[1]*a[2]*b[1]*c[1]])/
   31381059609 - (18945867776*f[a[1]*a[2]^2]*f[a[2]^3]*
     f[a[1]*a[2]*b[1]*c[1]])/3486784401 + 
  (180224*f[a[2]]*f[a[3]]*f[a[1]*a[2]*b[1]*c[1]])/177147 + 
  (46678016*f[a[1]^2*a[2]]*f[a[3]]*f[a[1]*a[2]*b[1]*c[1]])/43046721 - 
  (507330560*f[a[1]^4*a[2]]*f[a[3]]*f[a[1]*a[2]*b[1]*c[1]])/387420489 + 
  (244744192*f[a[2]^3]*f[a[3]]*f[a[1]*a[2]*b[1]*c[1]])/43046721 - 
  (5767168*f[a[1]*a[2]]*f[a[1]*a[3]]*f[a[1]*a[2]*b[1]*c[1]])/43046721 + 
  (859308032*f[a[1]^3*a[2]]*f[a[1]*a[3]]*f[a[1]*a[2]*b[1]*c[1]])/
   387420489 - (34422784*f[a[2]]*f[a[1]^2*a[3]]*
     f[a[1]*a[2]*b[1]*c[1]])/14348907 - 
  (257540096*f[a[1]^2*a[2]]*f[a[1]^2*a[3]]*f[a[1]*a[2]*b[1]*c[1]])/
   387420489 + (60505341952*f[a[1]^4*a[2]]*f[a[1]^2*a[3]]*
     f[a[1]*a[2]*b[1]*c[1]])/10460353203 - 
  (13527252992*f[a[2]^3]*f[a[1]^2*a[3]]*f[a[1]*a[2]*b[1]*c[1]])/
   3486784401 - (1447559168*f[a[1]*a[2]]*f[a[1]^3*a[3]]*
     f[a[1]*a[2]*b[1]*c[1]])/387420489 - 
  (5772935168*f[a[1]^3*a[2]]*f[a[1]^3*a[3]]*f[a[1]*a[2]*b[1]*c[1]])/
   3486784401 - (360448*f[1]*f[a[2]*a[3]]*f[a[1]*a[2]*b[1]*c[1]])/
   531441 + (19103744*f[a[1]^2]*f[a[2]*a[3]]*f[a[1]*a[2]*b[1]*c[1]])/
   14348907 - (361529344*f[a[1]^4]*f[a[2]*a[3]]*
     f[a[1]*a[2]*b[1]*c[1]])/387420489 + 
  (2099609600*f[a[1]^6]*f[a[2]*a[3]]*f[a[1]*a[2]*b[1]*c[1]])/
   3486784401 - (286195712*f[a[2]^2]*f[a[2]*a[3]]*
     f[a[1]*a[2]*b[1]*c[1]])/129140163 + 
  (8595243008*f[a[1]^2*a[2]^2]*f[a[2]*a[3]]*f[a[1]*a[2]*b[1]*c[1]])/
   10460353203 - (997720064*f[a[1]*a[3]]*f[a[2]*a[3]]*
     f[a[1]*a[2]*b[1]*c[1]])/1162261467 - 
  (15680929792*f[a[1]^3*a[3]]*f[a[2]*a[3]]*f[a[1]*a[2]*b[1]*c[1]])/
   10460353203 + (2883584*f[a[1]]*f[a[1]*a[2]*a[3]]*
     f[a[1]*a[2]*b[1]*c[1]])/43046721 + 
  (723779584*f[a[1]^3]*f[a[1]*a[2]*a[3]]*f[a[1]*a[2]*b[1]*c[1]])/
   387420489 - (21785477120*f[a[1]^5]*f[a[1]*a[2]*a[3]]*
     f[a[1]*a[2]*b[1]*c[1]])/10460353203 - 
  (2877816832*f[a[1]*a[2]^2]*f[a[1]*a[2]*a[3]]*f[a[1]*a[2]*b[1]*c[1]])/
   10460353203 - (2592342016*f[a[3]]*f[a[1]*a[2]*a[3]]*
     f[a[1]*a[2]*b[1]*c[1]])/1162261467 - 
  (23394516992*f[a[1]^2*a[3]]*f[a[1]*a[2]*a[3]]*
     f[a[1]*a[2]*b[1]*c[1]])/31381059609 - 
  (1910013952*f[a[1]*a[2]]*f[a[3]^2]*f[a[1]*a[2]*b[1]*c[1]])/
   1162261467 + (4844060672*f[a[1]^3*a[2]]*f[a[3]^2]*
     f[a[1]*a[2]*b[1]*c[1]])/10460353203 + 
  (11446747136*f[a[2]*a[3]]*f[a[3]^2]*f[a[1]*a[2]*b[1]*c[1]])/
   3486784401 - (720896*f[a[1]]*f[a[4]]*f[a[1]*a[2]*b[1]*c[1]])/
   4782969 + (38207488*f[a[1]^3]*f[a[4]]*f[a[1]*a[2]*b[1]*c[1]])/
   43046721 - (1820262400*f[a[1]^5]*f[a[4]]*f[a[1]*a[2]*b[1]*c[1]])/
   1162261467 + (866516992*f[a[1]*a[2]^2]*f[a[4]]*
     f[a[1]*a[2]*b[1]*c[1]])/3486784401 - 
  (16580608*f[a[3]]*f[a[4]]*f[a[1]*a[2]*b[1]*c[1]])/43046721 - 
  (130482176*f[a[1]^2*a[3]]*f[a[4]]*f[a[1]*a[2]*b[1]*c[1]])/129140163 + 
  (1441792*f[1]*f[a[1]*a[4]]*f[a[1]*a[2]*b[1]*c[1]])/4782969 - 
  (10092544*f[a[1]^2]*f[a[1]*a[4]]*f[a[1]*a[2]*b[1]*c[1]])/43046721 + 
  (2481324032*f[a[1]^4]*f[a[1]*a[4]]*f[a[1]*a[2]*b[1]*c[1]])/
   1162261467 - (175646310400*f[a[1]^6]*f[a[1]*a[4]]*
     f[a[1]*a[2]*b[1]*c[1]])/31381059609 + 
  (135528448*f[a[2]^2]*f[a[1]*a[4]]*f[a[1]*a[2]*b[1]*c[1]])/387420489 - 
  (14443872256*f[a[1]^2*a[2]^2]*f[a[1]*a[4]]*f[a[1]*a[2]*b[1]*c[1]])/
   31381059609 + (23068672*f[a[1]*a[3]]*f[a[1]*a[4]]*
     f[a[1]*a[2]*b[1]*c[1]])/387420489 - 
  (21015560192*f[a[1]^3*a[3]]*f[a[1]*a[4]]*f[a[1]*a[2]*b[1]*c[1]])/
   10460353203 - (81082056704*f[a[3]^2]*f[a[1]*a[4]]*
     f[a[1]*a[2]*b[1]*c[1]])/31381059609 + 
  (5046272*f[a[1]]*f[a[1]^2*a[4]]*f[a[1]*a[2]*b[1]*c[1]])/43046721 - 
  (617807872*f[a[1]^3]*f[a[1]^2*a[4]]*f[a[1]*a[2]*b[1]*c[1]])/
   1162261467 + (206165442560*f[a[1]^5]*f[a[1]^2*a[4]]*
     f[a[1]*a[2]*b[1]*c[1]])/31381059609 - 
  (3112828928*f[a[1]*a[2]^2]*f[a[1]^2*a[4]]*f[a[1]*a[2]*b[1]*c[1]])/
   31381059609 + (64159744*f[a[3]]*f[a[1]^2*a[4]]*
     f[a[1]*a[2]*b[1]*c[1]])/43046721 + 
  (2776170496*f[a[1]^2*a[3]]*f[a[1]^2*a[4]]*f[a[1]*a[2]*b[1]*c[1]])/
   10460353203 + (369098752*f[a[1]*a[2]]*f[a[2]*a[4]]*
     f[a[1]*a[2]*b[1]*c[1]])/3486784401 + 
  (4060086272*f[a[1]^3*a[2]]*f[a[2]*a[4]]*f[a[1]*a[2]*b[1]*c[1]])/
   31381059609 + (1845493760*f[a[2]*a[3]]*f[a[2]*a[4]]*
     f[a[1]*a[2]*b[1]*c[1]])/10460353203 + 
  (184549376000*f[a[1]*a[4]]*f[a[2]*a[4]]*f[a[1]*a[2]*b[1]*c[1]])/
   94143178827 - (20725760*f[a[2]]*f[a[5]]*f[a[1]*a[2]*b[1]*c[1]])/
   43046721 - (1866219520*f[a[1]^2*a[2]]*f[a[5]]*
     f[a[1]*a[2]*b[1]*c[1]])/3486784401 + 
  (20216627200*f[a[1]^4*a[2]]*f[a[5]]*f[a[1]*a[2]*b[1]*c[1]])/
   31381059609 - (8151531520*f[a[2]^3]*f[a[5]]*f[a[1]*a[2]*b[1]*c[1]])/
   3486784401 - (3013345280*f[a[1]*a[2]*a[3]]*f[a[5]]*
     f[a[1]*a[2]*b[1]*c[1]])/10460353203 + 
  (558694400*f[a[4]]*f[a[5]]*f[a[1]*a[2]*b[1]*c[1]])/3486784401 + 
  (176046407680*f[a[1]^2*a[4]]*f[a[5]]*f[a[1]*a[2]*b[1]*c[1]])/
   94143178827 + (374865920*f[a[1]*a[2]]*f[a[1]*a[5]]*
     f[a[1]*a[2]*b[1]*c[1]])/3486784401 - 
  (33709096960*f[a[1]^3*a[2]]*f[a[1]*a[5]]*f[a[1]*a[2]*b[1]*c[1]])/
   31381059609 - (201850880*f[a[2]*a[3]]*f[a[1]*a[5]]*
     f[a[1]*a[2]*b[1]*c[1]])/1162261467 - 
  (1499463680*f[a[1]*a[4]]*f[a[1]*a[5]]*f[a[1]*a[2]*b[1]*c[1]])/
   31381059609 + (1261568*f[a[1]]*f[a[6]]*f[a[1]*a[2]*b[1]*c[1]])/
   14348907 - (26132480*f[a[1]^3]*f[a[6]]*f[a[1]*a[2]*b[1]*c[1]])/
   43046721 + (3762176000*f[a[1]^5]*f[a[6]]*f[a[1]*a[2]*b[1]*c[1]])/
   3486784401 - (1331855360*f[a[1]*a[2]^2]*f[a[6]]*
     f[a[1]*a[2]*b[1]*c[1]])/10460353203 + 
  (34783232*f[a[3]]*f[a[6]]*f[a[1]*a[2]*b[1]*c[1]])/129140163 + 
  (8397537280*f[a[1]^2*a[3]]*f[a[6]]*f[a[1]*a[2]*b[1]*c[1]])/
   31381059609 - (1179566080*f[a[5]]*f[a[6]]*f[a[1]*a[2]*b[1]*c[1]])/
   10460353203 - (622592*f[a[1]*a[2]]*f[b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[1]])/1594323 + 
  (3112960*f[a[1]^3*a[2]]*f[b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[1]])/
   14348907 - (622592*f[a[2]*a[3]]*f[b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[1]])/4782969 + 
  (2490368*f[a[1]*a[4]]*f[b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[1]])/43046721 - 
  (311296*f[a[2]]*f[a[1]*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[1]])/1594323 - 
  (13385728*f[a[1]^2*a[2]]*f[a[1]*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[1]])/
   43046721 + (141639680*f[a[1]^4*a[2]]*f[a[1]*b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[1]])/387420489 + 
  (71598080*f[a[2]^3]*f[a[1]*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[1]])/
   129140163 + (4980736*f[a[1]*a[2]*a[3]]*f[a[1]*b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[1]])/387420489 - 
  (1245184*f[a[4]]*f[a[1]*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[1]])/43046721 + 
  (8716288*f[a[1]^2*a[4]]*f[a[1]*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[1]])/
   387420489 + (2179072*f[a[6]]*f[a[1]*b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[1]])/129140163 - 
  (6848512*f[a[1]*a[2]]*f[a[1]^2*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[1]])/
   43046721 - (41713664*f[a[1]^3*a[2]]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[1]])/129140163 + 
  (32997376*f[a[2]*a[3]]*f[a[1]^2*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[1]])/
   129140163 - (17432576*f[a[1]*a[4]]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[1]])/387420489 - 
  (3424256*f[a[2]]*f[a[1]^3*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[1]])/
   14348907 - (67551232*f[a[1]^2*a[2]]*f[a[1]^3*b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[1]])/387420489 - 
  (2816917504*f[a[1]^4*a[2]]*f[a[1]^3*b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[1]])/10460353203 - 
  (4012605440*f[a[2]^3]*f[a[1]^3*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[1]])/
   3486784401 + (1250164736*f[a[1]*a[2]*a[3]]*f[a[1]^3*b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[1]])/3486784401 + 
  (65994752*f[a[4]]*f[a[1]^3*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[1]])/
   387420489 - (1067122688*f[a[1]^2*a[4]]*f[a[1]^3*b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[1]])/10460353203 - 
  (45137920*f[a[6]]*f[a[1]^3*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[1]])/
   387420489 - (234717184*f[a[1]*a[2]]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[1]])/387420489 - 
  (1898283008*f[a[1]^3*a[2]]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[1]])/10460353203 - 
  (624459776*f[a[2]*a[3]]*f[a[1]^4*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[1]])/
   3486784401 + (4285923328*f[a[1]*a[4]]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[1]])/10460353203 - 
  (311296*f[a[1]]*f[a[2]*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[1]])/1594323 - 
  (3424256*f[a[1]^3]*f[a[2]*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[1]])/
   14348907 + (7782400*f[a[1]^5]*f[a[2]*b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[1]])/14348907 + 
  (230981632*f[a[1]*a[2]^2]*f[a[2]*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[1]])/
   387420489 + (311296*f[a[3]]*f[a[2]*b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[1]])/1594323 - 
  (59457536*f[a[1]^2*a[3]]*f[a[2]*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[1]])/
   129140163 - (35799040*f[a[5]]*f[a[2]*b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[1]])/387420489 - 
  (16384*f[a[1]*b[1]*c[1]]*f[a[2]*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[1]])/
   531441 - (180224*f[a[1]^3*b[1]*c[1]]*f[a[2]*b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[1]])/4782969 - 
  (311296*f[1]*f[a[1]*a[2]*b[1]*c[1]]^2)/1594323 - 
  (3424256*f[a[1]^2]*f[a[1]*a[2]*b[1]*c[1]]^2)/43046721 - 
  (117358592*f[a[1]^4]*f[a[1]*a[2]*b[1]*c[1]]^2)/387420489 + 
  (10280550400*f[a[1]^6]*f[a[1]*a[2]*b[1]*c[1]]^2)/10460353203 + 
  (71598080*f[a[2]^2]*f[a[1]*a[2]*b[1]*c[1]]^2)/387420489 + 
  (11288215552*f[a[1]^2*a[2]^2]*f[a[1]*a[2]*b[1]*c[1]]^2)/31381059609 - 
  (4980736*f[a[1]*a[3]]*f[a[1]*a[2]*b[1]*c[1]]^2)/387420489 - 
  (1250164736*f[a[1]^3*a[3]]*f[a[1]*a[2]*b[1]*c[1]]^2)/3486784401 - 
  (1649557504*f[a[3]^2]*f[a[1]*a[2]*b[1]*c[1]]^2)/10460353203 + 
  (318767104*f[a[2]*a[4]]*f[a[1]*a[2]*b[1]*c[1]]^2)/31381059609 + 
  (323747840*f[a[1]*a[5]]*f[a[1]*a[2]*b[1]*c[1]]^2)/31381059609 - 
  (16384*f[b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[1]]^2)/531441 - 
  (180224*f[a[1]^2*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[1]]^2)/14348907 - 
  (6176768*f[a[1]^4*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[1]]^2)/129140163 + 
  (28160*f[1]*f[a[2]]*f[a[1]^2*a[2]*b[1]*c[1]])/59049 - 
  (2404864*f[a[1]^2]*f[a[2]]*f[a[1]^2*a[2]*b[1]*c[1]])/4782969 - 
  (162612736*f[a[1]^4]*f[a[2]]*f[a[1]^2*a[2]*b[1]*c[1]])/43046721 + 
  (4348326400*f[a[1]^6]*f[a[2]]*f[a[1]^2*a[2]*b[1]*c[1]])/387420489 - 
  (7749632*f[a[1]]*f[a[1]*a[2]]*f[a[1]^2*a[2]*b[1]*c[1]])/4782969 - 
  (39108608*f[a[1]^3]*f[a[1]*a[2]]*f[a[1]^2*a[2]*b[1]*c[1]])/43046721 - 
  (11839815680*f[a[1]^5]*f[a[1]*a[2]]*f[a[1]^2*a[2]*b[1]*c[1]])/
   1162261467 - (14840320*f[1]*f[a[1]^2*a[2]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/4782969 - 
  (120947200*f[a[1]^2]*f[a[1]^2*a[2]]*f[a[1]^2*a[2]*b[1]*c[1]])/
   43046721 - (111609344*f[a[1]^4]*f[a[1]^2*a[2]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/43046721 - 
  (1045989486080*f[a[1]^6]*f[a[1]^2*a[2]]*f[a[1]^2*a[2]*b[1]*c[1]])/
   31381059609 - (145801216*f[a[1]]*f[a[1]^3*a[2]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/43046721 - 
  (67944448*f[a[1]^3]*f[a[1]^3*a[2]]*f[a[1]^2*a[2]*b[1]*c[1]])/
   14348907 - (319763333120*f[a[1]^5]*f[a[1]^3*a[2]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/31381059609 + 
  (146291200*f[1]*f[a[1]^4*a[2]]*f[a[1]^2*a[2]*b[1]*c[1]])/43046721 - 
  (5169832448*f[a[1]^2]*f[a[1]^4*a[2]]*f[a[1]^2*a[2]*b[1]*c[1]])/
   1162261467 - (213349007872*f[a[1]^4]*f[a[1]^4*a[2]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/31381059609 - 
  (521448435200*f[a[1]^6]*f[a[1]^4*a[2]]*f[a[1]^2*a[2]*b[1]*c[1]])/
   10460353203 + (5080064*f[a[2]]*f[a[2]^2]*f[a[1]^2*a[2]*b[1]*c[1]])/
   43046721 + (5489116160*f[a[1]^2*a[2]]*f[a[2]^2]*
     f[a[1]^2*a[2]*b[1]*c[1]])/3486784401 - 
  (2675842048*f[a[1]^4*a[2]]*f[a[2]^2]*f[a[1]^2*a[2]*b[1]*c[1]])/
   10460353203 + (7654113280*f[a[1]*a[2]]*f[a[1]*a[2]^2]*
     f[a[1]^2*a[2]*b[1]*c[1]])/3486784401 + 
  (917340160*f[a[1]^3*a[2]]*f[a[1]*a[2]^2]*f[a[1]^2*a[2]*b[1]*c[1]])/
   387420489 + (11580326912*f[a[2]]*f[a[1]^2*a[2]^2]*
     f[a[1]^2*a[2]*b[1]*c[1]])/3486784401 + 
  (241894400*f[a[1]^2*a[2]]*f[a[1]^2*a[2]^2]*f[a[1]^2*a[2]*b[1]*c[1]])/
   43046721 + (1468865711104*f[a[1]^4*a[2]]*f[a[1]^2*a[2]^2]*
     f[a[1]^2*a[2]*b[1]*c[1]])/282429536481 - 
  (43940864*f[1]*f[a[2]^3]*f[a[1]^2*a[2]*b[1]*c[1]])/14348907 + 
  (8578515968*f[a[1]^2]*f[a[2]^3]*f[a[1]^2*a[2]*b[1]*c[1]])/
   1162261467 - (417623309312*f[a[1]^4]*f[a[2]^3]*
     f[a[1]^2*a[2]*b[1]*c[1]])/31381059609 - 
  (28123786240*f[a[1]^6]*f[a[2]^3]*f[a[1]^2*a[2]*b[1]*c[1]])/
   31381059609 - (13616846848*f[a[2]^2]*f[a[2]^3]*
     f[a[1]^2*a[2]*b[1]*c[1]])/3486784401 - 
  (1550495389696*f[a[1]^2*a[2]^2]*f[a[2]^3]*f[a[1]^2*a[2]*b[1]*c[1]])/
   282429536481 + (46678016*f[a[1]*a[2]]*f[a[3]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/43046721 + 
  (76595200*f[a[1]^3*a[2]]*f[a[3]]*f[a[1]^2*a[2]*b[1]*c[1]])/43046721 + 
  (65241088*f[a[2]]*f[a[1]*a[3]]*f[a[1]^2*a[2]*b[1]*c[1]])/43046721 + 
  (11173888*f[a[1]^2*a[2]]*f[a[1]*a[3]]*f[a[1]^2*a[2]*b[1]*c[1]])/
   14348907 + (45421133824*f[a[1]^4*a[2]]*f[a[1]*a[3]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/10460353203 + 
  (16967729152*f[a[2]^3]*f[a[1]*a[3]]*f[a[1]^2*a[2]*b[1]*c[1]])/
   3486784401 - (257540096*f[a[1]*a[2]]*f[a[1]^2*a[3]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/387420489 + 
  (16227909632*f[a[1]^3*a[2]]*f[a[1]^2*a[3]]*f[a[1]^2*a[2]*b[1]*c[1]])/
   10460353203 - (560496640*f[a[2]]*f[a[1]^3*a[3]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/129140163 - 
  (43978620928*f[a[1]^2*a[2]]*f[a[1]^3*a[3]]*f[a[1]^2*a[2]*b[1]*c[1]])/
   10460353203 + (1610826612736*f[a[1]^4*a[2]]*f[a[1]^3*a[3]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/282429536481 + 
  (19205390336*f[a[2]^3]*f[a[1]^3*a[3]]*f[a[1]^2*a[2]*b[1]*c[1]])/
   94143178827 - (45596672*f[a[1]]*f[a[2]*a[3]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/43046721 + 
  (348012544*f[a[1]^3]*f[a[2]*a[3]]*f[a[1]^2*a[2]*b[1]*c[1]])/
   129140163 - (31738347520*f[a[1]^5]*f[a[2]*a[3]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/10460353203 - 
  (31497748480*f[a[1]*a[2]^2]*f[a[2]*a[3]]*f[a[1]^2*a[2]*b[1]*c[1]])/
   10460353203 + (179683328*f[a[3]]*f[a[2]*a[3]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/387420489 - 
  (2830778368*f[a[1]^2*a[3]]*f[a[2]*a[3]]*f[a[1]^2*a[2]*b[1]*c[1]])/
   31381059609 - (29016064*f[1]*f[a[1]*a[2]*a[3]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/43046721 + 
  (99303424*f[a[1]^2]*f[a[1]*a[2]*a[3]]*f[a[1]^2*a[2]*b[1]*c[1]])/
   387420489 + (47020982272*f[a[1]^4]*f[a[1]*a[2]*a[3]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/10460353203 - 
  (2202815774720*f[a[1]^6]*f[a[1]*a[2]*a[3]]*f[a[1]^2*a[2]*b[1]*c[1]])/
   282429536481 - (14457208832*f[a[2]^2]*f[a[1]*a[2]*a[3]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/10460353203 - 
  (478864900096*f[a[1]^2*a[2]^2]*f[a[1]*a[2]*a[3]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/282429536481 - 
  (50627084288*f[a[1]*a[3]]*f[a[1]*a[2]*a[3]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/31381059609 - 
  (132480499712*f[a[1]^3*a[3]]*f[a[1]*a[2]*a[3]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/282429536481 + 
  (82446848*f[a[2]]*f[a[3]^2]*f[a[1]^2*a[2]*b[1]*c[1]])/387420489 - 
  (68043576832*f[a[1]^2*a[2]]*f[a[3]^2]*f[a[1]^2*a[2]*b[1]*c[1]])/
   31381059609 + (364209303040*f[a[1]^4*a[2]]*f[a[3]^2]*
     f[a[1]^2*a[2]*b[1]*c[1]])/282429536481 - 
  (261719389184*f[a[2]^3]*f[a[3]^2]*f[a[1]^2*a[2]*b[1]*c[1]])/
   94143178827 + (337134043136*f[a[1]*a[2]*a[3]]*f[a[3]^2]*
     f[a[1]^2*a[2]*b[1]*c[1]])/94143178827 - 
  (112640*f[1]*f[a[4]]*f[a[1]^2*a[2]*b[1]*c[1]])/4782969 - 
  (7546880*f[a[1]^2]*f[a[4]]*f[a[1]^2*a[2]*b[1]*c[1]])/14348907 + 
  (2896627712*f[a[1]^4]*f[a[4]]*f[a[1]^2*a[2]*b[1]*c[1]])/1162261467 - 
  (191705958400*f[a[1]^6]*f[a[4]]*f[a[1]^2*a[2]*b[1]*c[1]])/
   31381059609 - (2973110272*f[a[2]^2]*f[a[4]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/3486784401 + 
  (3852333056*f[a[1]^2*a[2]^2]*f[a[4]]*f[a[1]^2*a[2]*b[1]*c[1]])/
   3486784401 - (105250816*f[a[1]*a[3]]*f[a[4]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/387420489 - 
  (20544094208*f[a[1]^3*a[3]]*f[a[4]]*f[a[1]^2*a[2]*b[1]*c[1]])/
   10460353203 + (27093096448*f[a[3]^2]*f[a[4]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/31381059609 + 
  (5046272*f[a[1]]*f[a[1]*a[4]]*f[a[1]^2*a[2]*b[1]*c[1]])/43046721 - 
  (617807872*f[a[1]^3]*f[a[1]*a[4]]*f[a[1]^2*a[2]*b[1]*c[1]])/
   1162261467 + (206165442560*f[a[1]^5]*f[a[1]*a[4]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/31381059609 + 
  (650248192*f[a[1]*a[2]^2]*f[a[1]*a[4]]*f[a[1]^2*a[2]*b[1]*c[1]])/
   1162261467 - (276103168*f[a[3]]*f[a[1]*a[4]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/387420489 - 
  (4767285248*f[a[1]^2*a[3]]*f[a[1]*a[4]]*f[a[1]^2*a[2]*b[1]*c[1]])/
   10460353203 + (9033728*f[1]*f[a[1]^2*a[4]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/14348907 - 
  (48277504*f[a[1]^2]*f[a[1]^2*a[4]]*f[a[1]^2*a[2]*b[1]*c[1]])/
   1162261467 - (10919028736*f[a[1]^4]*f[a[1]^2*a[4]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/31381059609 + 
  (5943498373120*f[a[1]^6]*f[a[1]^2*a[4]]*f[a[1]^2*a[2]*b[1]*c[1]])/
   282429536481 + (25078755328*f[a[2]^2]*f[a[1]^2*a[4]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/31381059609 + 
  (96555008*f[a[1]^2*a[2]^2]*f[a[1]^2*a[4]]*f[a[1]^2*a[2]*b[1]*c[1]])/
   1162261467 + (4551737344*f[a[1]*a[3]]*f[a[1]^2*a[4]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/10460353203 - 
  (439335649280*f[a[1]^3*a[3]]*f[a[1]^2*a[4]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/282429536481 - 
  (312832391168*f[a[3]^2]*f[a[1]^2*a[4]]*f[a[1]^2*a[2]*b[1]*c[1]])/
   94143178827 - (184549376*f[a[2]]*f[a[2]*a[4]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/3486784401 - 
  (369098752*f[a[1]^2*a[2]]*f[a[2]*a[4]]*f[a[1]^2*a[2]*b[1]*c[1]])/
   3486784401 + (349721067520*f[a[1]^4*a[2]]*f[a[2]*a[4]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/282429536481 + 
  (298600890368*f[a[2]^3]*f[a[2]*a[4]]*f[a[1]^2*a[2]*b[1]*c[1]])/
   94143178827 + (69575114752*f[a[1]*a[2]*a[3]]*f[a[2]*a[4]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/282429536481 - 
  (72343355392*f[a[4]]*f[a[2]*a[4]]*f[a[1]^2*a[2]*b[1]*c[1]])/
   94143178827 + (721218961408*f[a[1]^2*a[4]]*f[a[2]*a[4]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/847288609443 - 
  (1866219520*f[a[1]*a[2]]*f[a[5]]*f[a[1]^2*a[2]*b[1]*c[1]])/
   3486784401 - (9500508160*f[a[1]^3*a[2]]*f[a[5]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/10460353203 + 
  (523550720*f[a[2]*a[3]]*f[a[5]]*f[a[1]^2*a[2]*b[1]*c[1]])/
   10460353203 - (7464878080*f[a[1]*a[4]]*f[a[5]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/94143178827 - 
  (2424012800*f[a[2]]*f[a[1]*a[5]]*f[a[1]^2*a[2]*b[1]*c[1]])/
   3486784401 - (3393617920*f[a[1]^2*a[2]]*f[a[1]*a[5]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/10460353203 - 
  (1863330529280*f[a[1]^4*a[2]]*f[a[1]*a[5]]*f[a[1]^2*a[2]*b[1]*c[1]])/
   847288609443 - (17499750400*f[a[2]^3]*f[a[1]*a[5]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/10460353203 - 
  (223376834560*f[a[1]*a[2]*a[3]]*f[a[1]*a[5]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/847288609443 + 
  (46014791680*f[a[4]]*f[a[1]*a[5]]*f[a[1]^2*a[2]*b[1]*c[1]])/
   94143178827 + (207308062720*f[a[1]^2*a[4]]*f[a[1]*a[5]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/282429536481 + 
  (309760*f[1]*f[a[6]]*f[a[1]^2*a[2]*b[1]*c[1]])/14348907 + 
  (133438976*f[a[1]^2]*f[a[6]]*f[a[1]^2*a[2]*b[1]*c[1]])/387420489 - 
  (5955868160*f[a[1]^4]*f[a[6]]*f[a[1]^2*a[2]*b[1]*c[1]])/3486784401 + 
  (396456896000*f[a[1]^6]*f[a[6]]*f[a[1]^2*a[2]*b[1]*c[1]])/
   94143178827 + (5961460736*f[a[2]^2]*f[a[6]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/10460353203 - 
  (196445658112*f[a[1]^2*a[2]^2]*f[a[6]]*f[a[1]^2*a[2]*b[1]*c[1]])/
   282429536481 + (8116207616*f[a[1]*a[3]]*f[a[6]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/31381059609 + 
  (52151418880*f[a[1]^3*a[3]]*f[a[6]]*f[a[1]^2*a[2]*b[1]*c[1]])/
   94143178827 - (11827971584*f[a[3]^2]*f[a[6]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/31381059609 - 
  (10888413184*f[a[2]*a[4]]*f[a[6]]*f[a[1]^2*a[2]*b[1]*c[1]])/
   94143178827 + (62413373440*f[a[1]*a[5]]*f[a[6]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/282429536481 + 
  (48640*f[a[2]]*f[b[1]*c[1]]*f[a[1]^2*a[2]*b[1]*c[1]])/531441 - 
  (25633280*f[a[1]^2*a[2]]*f[b[1]*c[1]]*f[a[1]^2*a[2]*b[1]*c[1]])/
   43046721 + (252684800*f[a[1]^4*a[2]]*f[b[1]*c[1]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/387420489 - 
  (75897856*f[a[2]^3]*f[b[1]*c[1]]*f[a[1]^2*a[2]*b[1]*c[1]])/
   129140163 - (50118656*f[a[1]*a[2]*a[3]]*f[b[1]*c[1]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/387420489 - 
  (194560*f[a[4]]*f[b[1]*c[1]]*f[a[1]^2*a[2]*b[1]*c[1]])/43046721 + 
  (15603712*f[a[1]^2*a[4]]*f[b[1]*c[1]]*f[a[1]^2*a[2]*b[1]*c[1]])/
   129140163 + (535040*f[a[6]]*f[b[1]*c[1]]*f[a[1]^2*a[2]*b[1]*c[1]])/
   129140163 - (13385728*f[a[1]*a[2]]*f[a[1]*b[1]*c[1]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/43046721 - 
  (251838464*f[a[1]^3*a[2]]*f[a[1]*b[1]*c[1]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/387420489 - 
  (78757888*f[a[2]*a[3]]*f[a[1]*b[1]*c[1]]*f[a[1]^2*a[2]*b[1]*c[1]])/
   387420489 + (8716288*f[a[1]*a[4]]*f[a[1]*b[1]*c[1]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/387420489 - 
  (4153856*f[a[2]]*f[a[1]^2*b[1]*c[1]]*f[a[1]^2*a[2]*b[1]*c[1]])/
   43046721 - (208908800*f[a[1]^2*a[2]]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/387420489 - 
  (8929710592*f[a[1]^4*a[2]]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/10460353203 + 
  (14817436672*f[a[2]^3]*f[a[1]^2*b[1]*c[1]]*f[a[1]^2*a[2]*b[1]*c[1]])/
   10460353203 + (171524096*f[a[1]*a[2]*a[3]]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/3486784401 - 
  (13035520*f[a[4]]*f[a[1]^2*b[1]*c[1]]*f[a[1]^2*a[2]*b[1]*c[1]])/
   129140163 - (83388416*f[a[1]^2*a[4]]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/10460353203 + 
  (230485504*f[a[6]]*f[a[1]^2*b[1]*c[1]]*f[a[1]^2*a[2]*b[1]*c[1]])/
   3486784401 - (67551232*f[a[1]*a[2]]*f[a[1]^3*b[1]*c[1]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/387420489 - 
  (117358592*f[a[1]^3*a[2]]*f[a[1]^3*b[1]*c[1]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/129140163 + 
  (601112576*f[a[2]*a[3]]*f[a[1]^3*b[1]*c[1]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/1162261467 - 
  (1067122688*f[a[1]*a[4]]*f[a[1]^3*b[1]*c[1]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/10460353203 - 
  (280876544*f[a[2]]*f[a[1]^4*b[1]*c[1]]*f[a[1]^2*a[2]*b[1]*c[1]])/
   387420489 - (192779776*f[a[1]^2*a[2]]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/387420489 - 
  (368511922688*f[a[1]^4*a[2]]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/282429536481 - 
  (721349352448*f[a[2]^3]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/282429536481 + 
  (81218060288*f[a[1]*a[2]*a[3]]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/94143178827 + 
  (5003266048*f[a[4]]*f[a[1]^4*b[1]*c[1]]*f[a[1]^2*a[2]*b[1]*c[1]])/
   10460353203 - (18860140544*f[a[1]^2*a[4]]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/282429536481 - 
  (10287408640*f[a[6]]*f[a[1]^4*b[1]*c[1]]*f[a[1]^2*a[2]*b[1]*c[1]])/
   31381059609 + (48640*f[1]*f[a[2]*b[1]*c[1]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/531441 - 
  (4153856*f[a[1]^2]*f[a[2]*b[1]*c[1]]*f[a[1]^2*a[2]*b[1]*c[1]])/
   43046721 - (280876544*f[a[1]^4]*f[a[2]*b[1]*c[1]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/387420489 + 
  (7510745600*f[a[1]^6]*f[a[2]*b[1]*c[1]]*f[a[1]^2*a[2]*b[1]*c[1]])/
   3486784401 + (8774656*f[a[2]^2]*f[a[2]*b[1]*c[1]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/387420489 + 
  (20002382848*f[a[1]^2*a[2]^2]*f[a[2]*b[1]*c[1]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/31381059609 + 
  (112689152*f[a[1]*a[3]]*f[a[2]*b[1]*c[1]]*f[a[1]^2*a[2]*b[1]*c[1]])/
   387420489 - (968130560*f[a[1]^3*a[3]]*f[a[2]*b[1]*c[1]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/1162261467 + 
  (142408192*f[a[3]^2]*f[a[2]*b[1]*c[1]]*f[a[1]^2*a[2]*b[1]*c[1]])/
   3486784401 - (318767104*f[a[2]*a[4]]*f[a[2]*b[1]*c[1]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/31381059609 - 
  (4186931200*f[a[1]*a[5]]*f[a[2]*b[1]*c[1]]*f[a[1]^2*a[2]*b[1]*c[1]])/
   31381059609 + (2560*f[b[1]*c[1]]*f[a[2]*b[1]*c[1]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/177147 - 
  (218624*f[a[1]^2*b[1]*c[1]]*f[a[2]*b[1]*c[1]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/14348907 - 
  (14782976*f[a[1]^4*b[1]*c[1]]*f[a[2]*b[1]*c[1]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/129140163 - 
  (13385728*f[a[1]]*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]^2*a[2]*b[1]*c[1]])/
   43046721 - (67551232*f[a[1]^3]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/387420489 - 
  (20450590720*f[a[1]^5]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/10460353203 + 
  (13220741120*f[a[1]*a[2]^2]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/31381059609 + 
  (80625664*f[a[3]]*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]^2*a[2]*b[1]*c[1]])/
   387420489 - (444841984*f[a[1]^2*a[3]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/3486784401 - 
  (3223470080*f[a[5]]*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]^2*a[2]*b[1]*c[1]])/
   31381059609 - (704512*f[a[1]*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/14348907 - 
  (3555328*f[a[1]^3*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[1]^2*a[2]*b[1]*c[1]])/129140163 - 
  (12816640*f[1]*f[a[1]^2*a[2]*b[1]*c[1]]^2)/43046721 - 
  (104454400*f[a[1]^2]*f[a[1]^2*a[2]*b[1]*c[1]]^2)/387420489 - 
  (96389888*f[a[1]^4]*f[a[1]^2*a[2]*b[1]*c[1]]^2)/387420489 - 
  (903354556160*f[a[1]^6]*f[a[1]^2*a[2]*b[1]*c[1]]^2)/282429536481 + 
  (4740600320*f[a[2]^2]*f[a[1]^2*a[2]*b[1]*c[1]]^2)/31381059609 + 
  (208908800*f[a[1]^2*a[2]^2]*f[a[1]^2*a[2]*b[1]*c[1]]^2)/387420489 + 
  (9650176*f[a[1]*a[3]]*f[a[1]^2*a[2]*b[1]*c[1]]^2)/129140163 - 
  (37981536256*f[a[1]^3*a[3]]*f[a[1]^2*a[2]*b[1]*c[1]]^2)/94143178827 - 
  (58764907264*f[a[3]^2]*f[a[1]^2*a[2]*b[1]*c[1]]^2)/282429536481 - 
  (318767104*f[a[2]*a[4]]*f[a[1]^2*a[2]*b[1]*c[1]]^2)/31381059609 - 
  (2930851840*f[a[1]*a[5]]*f[a[1]^2*a[2]*b[1]*c[1]]^2)/94143178827 - 
  (674560*f[b[1]*c[1]]*f[a[1]^2*a[2]*b[1]*c[1]]^2)/14348907 - 
  (5497600*f[a[1]^2*b[1]*c[1]]*f[a[1]^2*a[2]*b[1]*c[1]]^2)/129140163 - 
  (5073152*f[a[1]^4*b[1]*c[1]]*f[a[1]^2*a[2]*b[1]*c[1]]^2)/129140163 + 
  (286*f[1]^2*f[a[2]^2*b[1]*c[1]])/2187 - 
  (76384*f[a[1]]^2*f[a[2]^2*b[1]*c[1]])/177147 + 
  (171644*f[1]*f[a[1]^2]*f[a[2]^2*b[1]*c[1]])/177147 - 
  (6207542*f[a[1]^2]^2*f[a[2]^2*b[1]*c[1]])/4782969 + 
  (1215808*f[a[1]]*f[a[1]^3]*f[a[2]^2*b[1]*c[1]])/531441 - 
  (60121952*f[a[1]^3]^2*f[a[2]^2*b[1]*c[1]])/14348907 - 
  (1759340*f[1]*f[a[1]^4]*f[a[2]^2*b[1]*c[1]])/1594323 + 
  (304409116*f[a[1]^2]*f[a[1]^4]*f[a[2]^2*b[1]*c[1]])/43046721 - 
  (18629723090*f[a[1]^4]^2*f[a[2]^2*b[1]*c[1]])/1162261467 - 
  (163275200*f[a[1]]*f[a[1]^5]*f[a[2]^2*b[1]*c[1]])/43046721 + 
  (31432751680*f[a[1]^3]*f[a[1]^5]*f[a[2]^2*b[1]*c[1]])/1162261467 - 
  (2269432322080*f[a[1]^5]^2*f[a[2]^2*b[1]*c[1]])/31381059609 + 
  (22170500*f[1]*f[a[1]^6]*f[a[2]^2*b[1]*c[1]])/14348907 - 
  (18282304700*f[a[1]^2]*f[a[1]^6]*f[a[2]^2*b[1]*c[1]])/1162261467 + 
  (1290878726060*f[a[1]^4]*f[a[1]^6]*f[a[2]^2*b[1]*c[1]])/10460353203 - 
  (11880090175030*f[a[1]^6]^2*f[a[2]^2*b[1]*c[1]])/31381059609 + 
  (5632*f[a[2]]^2*f[a[2]^2*b[1]*c[1]])/2187 + 
  (41451520*f[a[1]*a[2]]^2*f[a[2]^2*b[1]*c[1]])/43046721 + 
  (5080064*f[a[2]]*f[a[1]^2*a[2]]*f[a[2]^2*b[1]*c[1]])/43046721 + 
  (2744558080*f[a[1]^2*a[2]]^2*f[a[2]^2*b[1]*c[1]])/3486784401 + 
  (232849408*f[a[1]*a[2]]*f[a[1]^3*a[2]]*f[a[2]^2*b[1]*c[1]])/
   1162261467 + (15750496256*f[a[1]^3*a[2]]^2*f[a[2]^2*b[1]*c[1]])/
   10460353203 - (256087040*f[a[2]]*f[a[1]^4*a[2]]*
     f[a[2]^2*b[1]*c[1]])/387420489 - 
  (2675842048*f[a[1]^2*a[2]]*f[a[1]^4*a[2]]*f[a[2]^2*b[1]*c[1]])/
   10460353203 + (604185511424*f[a[1]^4*a[2]]^2*f[a[2]^2*b[1]*c[1]])/
   94143178827 + (966152*f[1]*f[a[2]^2]*f[a[2]^2*b[1]*c[1]])/177147 + 
  (150444184*f[a[1]^2]*f[a[2]^2]*f[a[2]^2*b[1]*c[1]])/43046721 - 
  (2212688104*f[a[1]^4]*f[a[2]^2]*f[a[2]^2*b[1]*c[1]])/1162261467 - 
  (6533971400*f[a[1]^6]*f[a[2]^2]*f[a[2]^2*b[1]*c[1]])/10460353203 - 
  (454580632*f[a[2]^2]^2*f[a[2]^2*b[1]*c[1]])/43046721 + 
  (42165376*f[a[1]]*f[a[1]*a[2]^2]*f[a[2]^2*b[1]*c[1]])/43046721 + 
  (7199333504*f[a[1]^3]*f[a[1]*a[2]^2]*f[a[2]^2*b[1]*c[1]])/
   1162261467 - (46518496640*f[a[1]^5]*f[a[1]*a[2]^2]*
     f[a[2]^2*b[1]*c[1]])/10460353203 - 
  (18302979200*f[a[1]*a[2]^2]^2*f[a[2]^2*b[1]*c[1]])/3486784401 - 
  (38791016*f[1]*f[a[1]^2*a[2]^2]*f[a[2]^2*b[1]*c[1]])/43046721 - 
  (6110888168*f[a[1]^2]*f[a[1]^2*a[2]^2]*f[a[2]^2*b[1]*c[1]])/
   3486784401 + (456001082504*f[a[1]^4]*f[a[1]^2*a[2]^2]*
     f[a[2]^2*b[1]*c[1]])/31381059609 - 
  (1017593071880*f[a[1]^6]*f[a[1]^2*a[2]^2]*f[a[2]^2*b[1]*c[1]])/
   94143178827 - (430145584*f[a[2]^2]*f[a[1]^2*a[2]^2]*
     f[a[2]^2*b[1]*c[1]])/3486784401 - 
  (1291538493080*f[a[1]^2*a[2]^2]^2*f[a[2]^2*b[1]*c[1]])/282429536481 - 
  (667031552*f[a[2]]*f[a[2]^3]*f[a[2]^2*b[1]*c[1]])/43046721 - 
  (13616846848*f[a[1]^2*a[2]]*f[a[2]^3]*f[a[2]^2*b[1]*c[1]])/
   3486784401 + (919848269824*f[a[1]^4*a[2]]*f[a[2]^3]*
     f[a[2]^2*b[1]*c[1]])/282429536481 + 
  (502535182336*f[a[2]^3]^2*f[a[2]^2*b[1]*c[1]])/10460353203 - 
  (303424*f[a[1]]*f[a[3]]*f[a[2]^2*b[1]*c[1]])/177147 + 
  (10770496*f[a[1]^3]*f[a[3]]*f[a[2]^2*b[1]*c[1]])/14348907 - 
  (197172800*f[a[1]^5]*f[a[3]]*f[a[2]^2*b[1]*c[1]])/387420489 - 
  (531177856*f[a[1]*a[2]^2]*f[a[3]]*f[a[2]^2*b[1]*c[1]])/129140163 - 
  (17332832*f[a[3]]^2*f[a[2]^2*b[1]*c[1]])/14348907 + 
  (919424*f[1]*f[a[1]*a[3]]*f[a[2]^2*b[1]*c[1]])/531441 - 
  (89643136*f[a[1]^2]*f[a[1]*a[3]]*f[a[2]^2*b[1]*c[1]])/43046721 + 
  (642925184*f[a[1]^4]*f[a[1]*a[3]]*f[a[2]^2*b[1]*c[1]])/387420489 - 
  (5442377600*f[a[1]^6]*f[a[1]*a[3]]*f[a[2]^2*b[1]*c[1]])/3486784401 + 
  (1062355712*f[a[2]^2]*f[a[1]*a[3]]*f[a[2]^2*b[1]*c[1]])/129140163 - 
  (56293752064*f[a[1]^2*a[2]^2]*f[a[1]*a[3]]*f[a[2]^2*b[1]*c[1]])/
   10460353203 - (1366469632*f[a[1]*a[3]]^2*f[a[2]^2*b[1]*c[1]])/
   1162261467 + (87500864*f[a[1]]*f[a[1]^2*a[3]]*f[a[2]^2*b[1]*c[1]])/
   43046721 - (1452165440*f[a[1]^3]*f[a[1]^2*a[3]]*
     f[a[2]^2*b[1]*c[1]])/387420489 + 
  (46906713920*f[a[1]^5]*f[a[1]^2*a[3]]*f[a[2]^2*b[1]*c[1]])/
   10460353203 + (8722186880*f[a[1]*a[2]^2]*f[a[1]^2*a[3]]*
     f[a[2]^2*b[1]*c[1]])/1162261467 + 
  (1590290240*f[a[3]]*f[a[1]^2*a[3]]*f[a[2]^2*b[1]*c[1]])/1162261467 - 
  (69420083744*f[a[1]^2*a[3]]^2*f[a[2]^2*b[1]*c[1]])/31381059609 - 
  (8024192*f[1]*f[a[1]^3*a[3]]*f[a[2]^2*b[1]*c[1]])/14348907 + 
  (1370241664*f[a[1]^2]*f[a[1]^3*a[3]]*f[a[2]^2*b[1]*c[1]])/387420489 - 
  (30595697792*f[a[1]^4]*f[a[1]^3*a[3]]*f[a[2]^2*b[1]*c[1]])/
   3486784401 + (437801809280*f[a[1]^6]*f[a[1]^3*a[3]]*
     f[a[2]^2*b[1]*c[1]])/31381059609 + 
  (1678029056*f[a[2]^2]*f[a[1]^3*a[3]]*f[a[2]^2*b[1]*c[1]])/
   1162261467 + (2500092449536*f[a[1]^2*a[2]^2]*f[a[1]^3*a[3]]*
     f[a[2]^2*b[1]*c[1]])/282429536481 + 
  (10678429696*f[a[1]*a[3]]*f[a[1]^3*a[3]]*f[a[2]^2*b[1]*c[1]])/
   3486784401 - (572670331904*f[a[1]^3*a[3]]^2*f[a[2]^2*b[1]*c[1]])/
   94143178827 - (286195712*f[a[1]*a[2]]*f[a[2]*a[3]]*
     f[a[2]^2*b[1]*c[1]])/129140163 - 
  (5046272*f[a[1]^3*a[2]]*f[a[2]*a[3]]*f[a[2]^2*b[1]*c[1]])/129140163 + 
  (958431232*f[a[2]*a[3]]^2*f[a[2]^2*b[1]*c[1]])/387420489 + 
  (318275584*f[a[2]]*f[a[1]*a[2]*a[3]]*f[a[2]^2*b[1]*c[1]])/129140163 - 
  (14457208832*f[a[1]^2*a[2]]*f[a[1]*a[2]*a[3]]*f[a[2]^2*b[1]*c[1]])/
   10460353203 - (441054625792*f[a[1]^4*a[2]]*f[a[1]*a[2]*a[3]]*
     f[a[2]^2*b[1]*c[1]])/282429536481 - 
  (46485536768*f[a[2]^3]*f[a[1]*a[2]*a[3]]*f[a[2]^2*b[1]*c[1]])/
   3486784401 + (613958287360*f[a[1]*a[2]*a[3]]^2*f[a[2]^2*b[1]*c[1]])/
   282429536481 + (40039604*f[1]*f[a[3]^2]*f[a[2]^2*b[1]*c[1]])/
   14348907 - (239853196*f[a[1]^2]*f[a[3]^2]*f[a[2]^2*b[1]*c[1]])/
   1162261467 - (50790212*f[a[1]^4]*f[a[3]^2]*f[a[2]^2*b[1]*c[1]])/
   10460353203 + (6226652300*f[a[1]^6]*f[a[3]^2]*f[a[2]^2*b[1]*c[1]])/
   94143178827 + (13681303064*f[a[2]^2]*f[a[3]^2]*f[a[2]^2*b[1]*c[1]])/
   1162261467 + (4948157896*f[a[1]^2*a[2]^2]*f[a[3]^2]*
     f[a[2]^2*b[1]*c[1]])/282429536481 - 
  (16955576704*f[a[1]*a[3]]*f[a[3]^2]*f[a[2]^2*b[1]*c[1]])/3486784401 + 
  (70232364928*f[a[1]^3*a[3]]*f[a[3]^2]*f[a[2]^2*b[1]*c[1]])/
   31381059609 - (269935434406*f[a[3]^2]^2*f[a[2]^2*b[1]*c[1]])/
   31381059609 - (45056*f[a[2]]*f[a[4]]*f[a[2]^2*b[1]*c[1]])/177147 - 
  (2973110272*f[a[1]^2*a[2]]*f[a[4]]*f[a[2]^2*b[1]*c[1]])/3486784401 + 
  (30552248320*f[a[1]^4*a[2]]*f[a[4]]*f[a[2]^2*b[1]*c[1]])/
   31381059609 + (2668126208*f[a[2]^3]*f[a[4]]*f[a[2]^2*b[1]*c[1]])/
   3486784401 + (19396427776*f[a[1]*a[2]*a[3]]*f[a[4]]*
     f[a[2]^2*b[1]*c[1]])/10460353203 - 
  (915267584*f[a[4]]^2*f[a[2]^2*b[1]*c[1]])/3486784401 + 
  (135528448*f[a[1]*a[2]]*f[a[1]*a[4]]*f[a[2]^2*b[1]*c[1]])/387420489 - 
  (47437840384*f[a[1]^3*a[2]]*f[a[1]*a[4]]*f[a[2]^2*b[1]*c[1]])/
   31381059609 - (9443737600*f[a[2]*a[3]]*f[a[1]*a[4]]*
     f[a[2]^2*b[1]*c[1]])/3486784401 + 
  (81184423936*f[a[1]*a[4]]^2*f[a[2]^2*b[1]*c[1]])/94143178827 - 
  (20320256*f[a[2]]*f[a[1]^2*a[4]]*f[a[2]^2*b[1]*c[1]])/3486784401 + 
  (25078755328*f[a[1]^2*a[2]]*f[a[1]^2*a[4]]*f[a[2]^2*b[1]*c[1]])/
   31381059609 - (2830618824704*f[a[1]^4*a[2]]*f[a[1]^2*a[4]]*
     f[a[2]^2*b[1]*c[1]])/847288609443 + 
  (54467387392*f[a[2]^3]*f[a[1]^2*a[4]]*f[a[2]^2*b[1]*c[1]])/
   282429536481 - (2470128517120*f[a[1]*a[2]*a[3]]*f[a[1]^2*a[4]]*
     f[a[2]^2*b[1]*c[1]])/847288609443 - 
  (183516872704*f[a[4]]*f[a[1]^2*a[4]]*f[a[2]^2*b[1]*c[1]])/
   94143178827 + (2272495689728*f[a[1]^2*a[4]]^2*f[a[2]^2*b[1]*c[1]])/
   847288609443 - (4235264*f[1]*f[a[2]*a[4]]*f[a[2]^2*b[1]*c[1]])/
   14348907 - (4038189056*f[a[1]^2]*f[a[2]*a[4]]*f[a[2]^2*b[1]*c[1]])/
   3486784401 + (5901344768*f[a[1]^4]*f[a[2]*a[4]]*
     f[a[2]^2*b[1]*c[1]])/31381059609 + 
  (365181132800*f[a[1]^6]*f[a[2]*a[4]]*f[a[2]^2*b[1]*c[1]])/
   282429536481 + (1758445568*f[a[2]^2]*f[a[2]*a[4]]*
     f[a[2]^2*b[1]*c[1]])/3486784401 + 
  (251938193408*f[a[1]^2*a[2]^2]*f[a[2]*a[4]]*f[a[2]^2*b[1]*c[1]])/
   282429536481 + (15682371584*f[a[1]*a[3]]*f[a[2]*a[4]]*
     f[a[2]^2*b[1]*c[1]])/10460353203 - 
  (335122923520*f[a[1]^3*a[3]]*f[a[2]*a[4]]*f[a[2]^2*b[1]*c[1]])/
   282429536481 + (803608993792*f[a[3]^2]*f[a[2]*a[4]]*
     f[a[2]^2*b[1]*c[1]])/94143178827 - 
  (1494250160128*f[a[2]*a[4]]^2*f[a[2]^2*b[1]*c[1]])/282429536481 + 
  (30331840*f[a[1]]*f[a[5]]*f[a[2]^2*b[1]*c[1]])/43046721 - 
  (267544640*f[a[1]^3]*f[a[5]]*f[a[2]^2*b[1]*c[1]])/1162261467 + 
  (2002792000*f[a[1]^5]*f[a[5]]*f[a[2]^2*b[1]*c[1]])/31381059609 + 
  (2112542080*f[a[1]*a[2]^2]*f[a[5]]*f[a[2]^2*b[1]*c[1]])/1162261467 + 
  (146534080*f[a[3]]*f[a[5]]*f[a[2]^2*b[1]*c[1]])/129140163 + 
  (104434880*f[a[1]^2*a[3]]*f[a[5]]*f[a[2]^2*b[1]*c[1]])/1162261467 + 
  (351607520*f[a[5]]^2*f[a[2]^2*b[1]*c[1]])/3486784401 - 
  (30926720*f[1]*f[a[1]*a[5]]*f[a[2]^2*b[1]*c[1]])/43046721 + 
  (2626025600*f[a[1]^2]*f[a[1]*a[5]]*f[a[2]^2*b[1]*c[1]])/3486784401 - 
  (11945042560*f[a[1]^4]*f[a[1]*a[5]]*f[a[2]^2*b[1]*c[1]])/
   31381059609 - (10297936000*f[a[1]^6]*f[a[1]*a[5]]*
     f[a[2]^2*b[1]*c[1]])/282429536481 - 
  (4225084160*f[a[2]^2]*f[a[1]*a[5]]*f[a[2]^2*b[1]*c[1]])/1162261467 + 
  (646864387840*f[a[1]^2*a[2]^2]*f[a[1]*a[5]]*f[a[2]^2*b[1]*c[1]])/
   282429536481 + (1141606400*f[a[1]*a[3]]*f[a[1]*a[5]]*
     f[a[2]^2*b[1]*c[1]])/3486784401 + 
  (2676213760*f[a[1]^3*a[3]]*f[a[1]*a[5]]*f[a[2]^2*b[1]*c[1]])/
   10460353203 - (37941284480*f[a[3]^2]*f[a[1]*a[5]]*
     f[a[2]^2*b[1]*c[1]])/282429536481 + 
  (3392529367040*f[a[2]*a[4]]*f[a[1]*a[5]]*f[a[2]^2*b[1]*c[1]])/
   847288609443 - (960370723840*f[a[1]*a[5]]^2*f[a[2]^2*b[1]*c[1]])/
   847288609443 + (123904*f[a[2]]*f[a[6]]*f[a[2]^2*b[1]*c[1]])/531441 + 
  (5961460736*f[a[1]^2*a[2]]*f[a[6]]*f[a[2]^2*b[1]*c[1]])/10460353203 - 
  (61872757760*f[a[1]^4*a[2]]*f[a[6]]*f[a[2]^2*b[1]*c[1]])/
   94143178827 - (7337347072*f[a[2]^3]*f[a[6]]*f[a[2]^2*b[1]*c[1]])/
   10460353203 - (151563698176*f[a[1]*a[2]*a[3]]*f[a[6]]*
     f[a[2]^2*b[1]*c[1]])/282429536481 + 
  (29511680*f[a[4]]*f[a[6]]*f[a[2]^2*b[1]*c[1]])/10460353203 + 
  (7049867264*f[a[1]^2*a[4]]*f[a[6]]*f[a[2]^2*b[1]*c[1]])/
   282429536481 - (37139745280*f[a[6]]^2*f[a[2]^2*b[1]*c[1]])/
   94143178827 + (988*f[1]*f[b[1]*c[1]]*f[a[2]^2*b[1]*c[1]])/19683 + 
  (296476*f[a[1]^2]*f[b[1]*c[1]]*f[a[2]^2*b[1]*c[1]])/1594323 - 
  (3038860*f[a[1]^4]*f[b[1]*c[1]]*f[a[2]^2*b[1]*c[1]])/14348907 + 
  (38294500*f[a[1]^6]*f[b[1]*c[1]]*f[a[2]^2*b[1]*c[1]])/129140163 + 
  (1668808*f[a[2]^2]*f[b[1]*c[1]]*f[a[2]^2*b[1]*c[1]])/1594323 - 
  (67002664*f[a[1]^2*a[2]^2]*f[b[1]*c[1]]*f[a[2]^2*b[1]*c[1]])/
   387420489 + (1588096*f[a[1]*a[3]]*f[b[1]*c[1]]*f[a[2]^2*b[1]*c[1]])/
   4782969 - (13859968*f[a[1]^3*a[3]]*f[b[1]*c[1]]*
     f[a[2]^2*b[1]*c[1]])/129140163 + 
  (69159316*f[a[3]^2]*f[b[1]*c[1]]*f[a[2]^2*b[1]*c[1]])/129140163 - 
  (7315456*f[a[2]*a[4]]*f[b[1]*c[1]]*f[a[2]^2*b[1]*c[1]])/129140163 - 
  (53418880*f[a[1]*a[5]]*f[b[1]*c[1]]*f[a[2]^2*b[1]*c[1]])/387420489 + 
  (26*f[b[1]*c[1]]^2*f[a[2]^2*b[1]*c[1]])/6561 - 
  (263872*f[a[1]]*f[a[1]*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]])/1594323 + 
  (2100032*f[a[1]^3]*f[a[1]*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]])/4782969 - 
  (282020800*f[a[1]^5]*f[a[1]*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]])/
   387420489 + (72831104*f[a[1]*a[2]^2]*f[a[1]*b[1]*c[1]]*
     f[a[2]^2*b[1]*c[1]])/387420489 - 
  (524096*f[a[3]]*f[a[1]*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]])/1594323 + 
  (151137856*f[a[1]^2*a[3]]*f[a[1]*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]])/
   387420489 + (52391360*f[a[5]]*f[a[1]*b[1]*c[1]]*
     f[a[2]^2*b[1]*c[1]])/387420489 - 
  (6944*f[a[1]*b[1]*c[1]]^2*f[a[2]^2*b[1]*c[1]])/531441 + 
  (296476*f[1]*f[a[1]^2*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]])/1594323 - 
  (21444236*f[a[1]^2]*f[a[1]^2*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]])/
   43046721 + (525797564*f[a[1]^4]*f[a[1]^2*b[1]*c[1]]*
     f[a[2]^2*b[1]*c[1]])/387420489 - 
  (31578526300*f[a[1]^6]*f[a[1]^2*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]])/
   10460353203 + (259858136*f[a[2]^2]*f[a[1]^2*b[1]*c[1]]*
     f[a[2]^2*b[1]*c[1]])/387420489 - 
  (10555170472*f[a[1]^2*a[2]^2]*f[a[1]^2*b[1]*c[1]]*
     f[a[2]^2*b[1]*c[1]])/31381059609 - 
  (154838144*f[a[1]*a[3]]*f[a[1]^2*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]])/
   387420489 + (2366781056*f[a[1]^3*a[3]]*f[a[1]^2*b[1]*c[1]]*
     f[a[2]^2*b[1]*c[1]])/3486784401 - 
  (414291884*f[a[3]^2]*f[a[1]^2*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]])/
   10460353203 - (6975053824*f[a[2]*a[4]]*f[a[1]^2*b[1]*c[1]]*
     f[a[2]^2*b[1]*c[1]])/31381059609 + 
  (4535862400*f[a[1]*a[5]]*f[a[1]^2*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]])/
   31381059609 + (15604*f[b[1]*c[1]]*f[a[1]^2*b[1]*c[1]]*
     f[a[2]^2*b[1]*c[1]])/531441 - 
  (564322*f[a[1]^2*b[1]*c[1]]^2*f[a[2]^2*b[1]*c[1]])/14348907 + 
  (2100032*f[a[1]]*f[a[1]^3*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]])/4782969 - 
  (207694016*f[a[1]^3]*f[a[1]^3*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]])/
   129140163 + (54292934720*f[a[1]^5]*f[a[1]^3*b[1]*c[1]]*
     f[a[2]^2*b[1]*c[1]])/10460353203 + 
  (12435212416*f[a[1]*a[2]^2]*f[a[1]^3*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]])/
   10460353203 + (18603584*f[a[3]]*f[a[1]^3*b[1]*c[1]]*
     f[a[2]^2*b[1]*c[1]])/129140163 - 
  (2508285760*f[a[1]^2*a[3]]*f[a[1]^3*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]])/
   3486784401 - (462122560*f[a[5]]*f[a[1]^3*b[1]*c[1]]*
     f[a[2]^2*b[1]*c[1]])/10460353203 + 
  (110528*f[a[1]*b[1]*c[1]]*f[a[1]^3*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]])/
   1594323 - (5465632*f[a[1]^3*b[1]*c[1]]^2*f[a[2]^2*b[1]*c[1]])/
   43046721 - (3038860*f[1]*f[a[1]^4*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]])/
   14348907 + (525797564*f[a[1]^2]*f[a[1]^4*b[1]*c[1]]*
     f[a[2]^2*b[1]*c[1]])/387420489 - 
  (64357225220*f[a[1]^4]*f[a[1]^4*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]])/
   10460353203 + (2229699617740*f[a[1]^6]*f[a[1]^4*b[1]*c[1]]*
     f[a[2]^2*b[1]*c[1]])/94143178827 - 
  (3821915816*f[a[2]^2]*f[a[1]^4*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]])/
   10460353203 + (787638233416*f[a[1]^2*a[2]^2]*f[a[1]^4*b[1]*c[1]]*
     f[a[2]^2*b[1]*c[1]])/282429536481 + 
  (1110507136*f[a[1]*a[3]]*f[a[1]^4*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]])/
   3486784401 - (52847114368*f[a[1]^3*a[3]]*f[a[1]^4*b[1]*c[1]]*
     f[a[2]^2*b[1]*c[1]])/31381059609 - 
  (87728548*f[a[3]^2]*f[a[1]^4*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]])/
   94143178827 + (10193231872*f[a[2]*a[4]]*f[a[1]^4*b[1]*c[1]]*
     f[a[2]^2*b[1]*c[1]])/282429536481 - 
  (20632346240*f[a[1]*a[5]]*f[a[1]^4*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]])/
   282429536481 - (159940*f[b[1]*c[1]]*f[a[1]^4*b[1]*c[1]]*
     f[a[2]^2*b[1]*c[1]])/4782969 + 
  (27673556*f[a[1]^2*b[1]*c[1]]*f[a[1]^4*b[1]*c[1]]*
     f[a[2]^2*b[1]*c[1]])/129140163 - 
  (1693611190*f[a[1]^4*b[1]*c[1]]^2*f[a[2]^2*b[1]*c[1]])/3486784401 + 
  (19456*f[a[2]]*f[a[2]*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]])/19683 + 
  (8774656*f[a[1]^2*a[2]]*f[a[2]*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]])/
   387420489 - (442332160*f[a[1]^4*a[2]]*f[a[2]*b[1]*c[1]]*
     f[a[2]^2*b[1]*c[1]])/3486784401 - 
  (1152145408*f[a[2]^3]*f[a[2]*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]])/
   387420489 + (549748736*f[a[1]*a[2]*a[3]]*f[a[2]*b[1]*c[1]]*
     f[a[2]^2*b[1]*c[1]])/1162261467 - 
  (77824*f[a[4]]*f[a[2]*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]])/1594323 - 
  (35098624*f[a[1]^2*a[4]]*f[a[2]*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]])/
   31381059609 + (214016*f[a[6]]*f[a[2]*b[1]*c[1]]*
     f[a[2]^2*b[1]*c[1]])/4782969 + 
  (512*f[a[2]*b[1]*c[1]]^2*f[a[2]^2*b[1]*c[1]])/6561 + 
  (143196160*f[a[1]*a[2]]*f[a[1]*a[2]*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]])/
   387420489 + (402194432*f[a[1]^3*a[2]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[2]^2*b[1]*c[1]])/10460353203 - 
  (494338048*f[a[2]*a[3]]*f[a[1]*a[2]*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]])/
   1162261467 + (234094592*f[a[1]*a[4]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[2]^2*b[1]*c[1]])/3486784401 + 
  (3768320*f[a[1]*a[2]*b[1]*c[1]]^2*f[a[2]^2*b[1]*c[1]])/129140163 + 
  (8774656*f[a[2]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]])/
   387420489 + (9481200640*f[a[1]^2*a[2]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[2]^2*b[1]*c[1]])/31381059609 - 
  (4621908992*f[a[1]^4*a[2]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[2]^2*b[1]*c[1]])/94143178827 - 
  (23520008192*f[a[2]^3]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]])/
   31381059609 - (24971542528*f[a[1]*a[2]*a[3]]*
     f[a[1]^2*a[2]*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]])/94143178827 - 
  (5135372288*f[a[4]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]])/
   31381059609 + (43317850112*f[a[1]^2*a[4]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[2]^2*b[1]*c[1]])/282429536481 + 
  (10297068544*f[a[6]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]])/
   94143178827 + (461824*f[a[2]*b[1]*c[1]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[2]^2*b[1]*c[1]])/129140163 + 
  (249505280*f[a[1]^2*a[2]*b[1]*c[1]]^2*f[a[2]^2*b[1]*c[1]])/
   10460353203 + (834404*f[1]*f[a[2]^2*b[1]*c[1]]^2)/1594323 + 
  (129929068*f[a[1]^2]*f[a[2]^2*b[1]*c[1]]^2)/387420489 - 
  (1910957908*f[a[1]^4]*f[a[2]^2*b[1]*c[1]]^2)/10460353203 - 
  (5642975300*f[a[1]^6]*f[a[2]^2*b[1]*c[1]]^2)/94143178827 - 
  (785184728*f[a[2]^2]*f[a[2]^2*b[1]*c[1]]^2)/387420489 - 
  (371489368*f[a[1]^2*a[2]^2]*f[a[2]^2*b[1]*c[1]]^2)/31381059609 + 
  (917489024*f[a[1]*a[3]]*f[a[2]^2*b[1]*c[1]]^2)/1162261467 + 
  (1449206912*f[a[1]^3*a[3]]*f[a[2]^2*b[1]*c[1]]^2)/10460353203 + 
  (11815670828*f[a[3]^2]*f[a[2]^2*b[1]*c[1]]^2)/10460353203 + 
  (1518657536*f[a[2]*a[4]]*f[a[2]^2*b[1]*c[1]]^2)/31381059609 - 
  (3648936320*f[a[1]*a[5]]*f[a[2]^2*b[1]*c[1]]^2)/10460353203 + 
  (43916*f[b[1]*c[1]]*f[a[2]^2*b[1]*c[1]]^2)/531441 + 
  (6838372*f[a[1]^2*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]]^2)/129140163 - 
  (100576732*f[a[1]^4*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]]^2)/3486784401 - 
  (41325512*f[a[2]^2*b[1]*c[1]]^3)/387420489 - 
  (352*f[1]*f[a[1]]*f[a[3]*b[1]*c[1]])/2187 - 
  (352*f[a[1]]*f[a[1]^2]*f[a[3]*b[1]*c[1]])/2187 + 
  (1760*f[1]*f[a[1]^3]*f[a[3]*b[1]*c[1]])/19683 - 
  (132704*f[a[1]^2]*f[a[1]^3]*f[a[3]*b[1]*c[1]])/531441 + 
  (103840*f[a[1]]*f[a[1]^4]*f[a[3]*b[1]*c[1]])/531441 - 
  (7685216*f[a[1]^3]*f[a[1]^4]*f[a[3]*b[1]*c[1]])/14348907 - 
  (44000*f[1]*f[a[1]^5]*f[a[3]*b[1]*c[1]])/531441 + 
  (7823200*f[a[1]^2]*f[a[1]^5]*f[a[3]*b[1]*c[1]])/14348907 - 
  (192475360*f[a[1]^4]*f[a[1]^5]*f[a[3]*b[1]*c[1]])/129140163 - 
  (4004000*f[a[1]]*f[a[1]^6]*f[a[3]*b[1]*c[1]])/14348907 + 
  (80264800*f[a[1]^3]*f[a[1]^6]*f[a[3]*b[1]*c[1]])/43046721 - 
  (5999482720*f[a[1]^5]*f[a[1]^6]*f[a[3]*b[1]*c[1]])/1162261467 + 
  (180224*f[a[2]]*f[a[1]*a[2]]*f[a[3]*b[1]*c[1]])/177147 + 
  (46678016*f[a[1]*a[2]]*f[a[1]^2*a[2]]*f[a[3]*b[1]*c[1]])/43046721 - 
  (901120*f[a[2]]*f[a[1]^3*a[2]]*f[a[3]*b[1]*c[1]])/1594323 + 
  (76595200*f[a[1]^2*a[2]]*f[a[1]^3*a[2]]*f[a[3]*b[1]*c[1]])/43046721 - 
  (507330560*f[a[1]*a[2]]*f[a[1]^4*a[2]]*f[a[3]*b[1]*c[1]])/387420489 + 
  (13978714112*f[a[1]^3*a[2]]*f[a[1]^4*a[2]]*f[a[3]*b[1]*c[1]])/
   3486784401 - (303424*f[a[1]]*f[a[2]^2]*f[a[3]*b[1]*c[1]])/177147 + 
  (10770496*f[a[1]^3]*f[a[2]^2]*f[a[3]*b[1]*c[1]])/14348907 - 
  (197172800*f[a[1]^5]*f[a[2]^2]*f[a[3]*b[1]*c[1]])/387420489 - 
  (9152*f[1]*f[a[1]*a[2]^2]*f[a[3]*b[1]*c[1]])/531441 - 
  (90132416*f[a[1]^2]*f[a[1]*a[2]^2]*f[a[3]*b[1]*c[1]])/43046721 + 
  (239153728*f[a[1]^4]*f[a[1]*a[2]^2]*f[a[3]*b[1]*c[1]])/129140163 - 
  (2221419200*f[a[1]^6]*f[a[1]*a[2]^2]*f[a[3]*b[1]*c[1]])/1162261467 - 
  (531177856*f[a[2]^2]*f[a[1]*a[2]^2]*f[a[3]*b[1]*c[1]])/129140163 + 
  (4258496*f[a[1]]*f[a[1]^2*a[2]^2]*f[a[3]*b[1]*c[1]])/14348907 - 
  (513304000*f[a[1]^3]*f[a[1]^2*a[2]^2]*f[a[3]*b[1]*c[1]])/129140163 + 
  (60634713920*f[a[1]^5]*f[a[1]^2*a[2]^2]*f[a[3]*b[1]*c[1]])/
   10460353203 - (53435144576*f[a[1]*a[2]^2]*f[a[1]^2*a[2]^2]*
     f[a[3]*b[1]*c[1]])/10460353203 + 
  (244744192*f[a[1]*a[2]]*f[a[2]^3]*f[a[3]*b[1]*c[1]])/43046721 - 
  (5107908608*f[a[1]^3*a[2]]*f[a[2]^3]*f[a[3]*b[1]*c[1]])/3486784401 + 
  (226336*f[1]*f[a[3]]*f[a[3]*b[1]*c[1]])/59049 - 
  (1097888*f[a[1]^2]*f[a[3]]*f[a[3]*b[1]*c[1]])/1594323 + 
  (5320480*f[a[1]^4]*f[a[3]]*f[a[3]*b[1]*c[1]])/14348907 - 
  (128788000*f[a[1]^6]*f[a[3]]*f[a[3]*b[1]*c[1]])/387420489 - 
  (34665664*f[a[2]^2]*f[a[3]]*f[a[3]*b[1]*c[1]])/14348907 + 
  (174206912*f[a[1]^2*a[2]^2]*f[a[3]]*f[a[3]*b[1]*c[1]])/387420489 + 
  (3604480*f[a[1]]*f[a[1]*a[3]]*f[a[3]*b[1]*c[1]])/1594323 - 
  (17481728*f[a[1]^3]*f[a[1]*a[3]]*f[a[3]*b[1]*c[1]])/14348907 + 
  (423526400*f[a[1]^5]*f[a[1]*a[3]]*f[a[3]*b[1]*c[1]])/387420489 - 
  (555089920*f[a[1]*a[2]^2]*f[a[1]*a[3]]*f[a[3]*b[1]*c[1]])/387420489 - 
  (1199264*f[1]*f[a[1]^2*a[3]]*f[a[3]*b[1]*c[1]])/1594323 + 
  (40210016*f[a[1]^2]*f[a[1]^2*a[3]]*f[a[3]*b[1]*c[1]])/14348907 - 
  (1141715872*f[a[1]^4]*f[a[1]^2*a[3]]*f[a[3]*b[1]*c[1]])/387420489 + 
  (41141962400*f[a[1]^6]*f[a[1]^2*a[3]]*f[a[3]*b[1]*c[1]])/
   10460353203 + (1590290240*f[a[2]^2]*f[a[1]^2*a[3]]*
     f[a[3]*b[1]*c[1]])/1162261467 - 
  (61018610752*f[a[1]^2*a[2]^2]*f[a[1]^2*a[3]]*f[a[3]*b[1]*c[1]])/
   31381059609 - (180224*f[a[1]*a[3]]*f[a[1]^2*a[3]]*
     f[a[3]*b[1]*c[1]])/43046721 - 
  (19103744*f[a[1]]*f[a[1]^3*a[3]]*f[a[3]*b[1]*c[1]])/14348907 + 
  (2106638336*f[a[1]^3]*f[a[1]^3*a[3]]*f[a[3]*b[1]*c[1]])/387420489 - 
  (95399772160*f[a[1]^5]*f[a[1]^3*a[3]]*f[a[3]*b[1]*c[1]])/
   10460353203 + (25312821248*f[a[1]*a[2]^2]*f[a[1]^3*a[3]]*
     f[a[3]*b[1]*c[1]])/10460353203 + 
  (360448*f[a[3]]*f[a[1]^3*a[3]]*f[a[3]*b[1]*c[1]])/43046721 - 
  (16400384*f[a[1]^2*a[3]]*f[a[1]^3*a[3]]*f[a[3]*b[1]*c[1]])/
   1162261467 - (37666816*f[a[2]]*f[a[2]*a[3]]*f[a[3]*b[1]*c[1]])/
   14348907 + (179683328*f[a[1]^2*a[2]]*f[a[2]*a[3]]*
     f[a[3]*b[1]*c[1]])/387420489 - 
  (855162880*f[a[1]^4*a[2]]*f[a[2]*a[3]]*f[a[3]*b[1]*c[1]])/
   3486784401 + (9401565184*f[a[2]^3]*f[a[2]*a[3]]*f[a[3]*b[1]*c[1]])/
   1162261467 - (2592342016*f[a[1]*a[2]]*f[a[1]*a[2]*a[3]]*
     f[a[3]*b[1]*c[1]])/1162261467 + 
  (12408061952*f[a[1]^3*a[2]]*f[a[1]*a[2]*a[3]]*f[a[3]*b[1]*c[1]])/
   10460353203 + (72089600*f[a[2]*a[3]]*f[a[1]*a[2]*a[3]]*
     f[a[3]*b[1]*c[1]])/387420489 - 
  (352*f[a[1]]*f[a[3]^2]*f[a[3]*b[1]*c[1]])/729 + 
  (11367136*f[a[1]^3]*f[a[3]^2]*f[a[3]*b[1]*c[1]])/43046721 - 
  (279672800*f[a[1]^5]*f[a[3]^2]*f[a[3]*b[1]*c[1]])/1162261467 + 
  (52074176*f[a[1]*a[2]^2]*f[a[3]^2]*f[a[3]*b[1]*c[1]])/387420489 + 
  (226336*f[a[3]]*f[a[3]^2]*f[a[3]*b[1]*c[1]])/19683 - 
  (2506906336*f[a[1]^2*a[3]]*f[a[3]^2]*f[a[3]*b[1]*c[1]])/1162261467 - 
  (16580608*f[a[1]*a[2]]*f[a[4]]*f[a[3]*b[1]*c[1]])/43046721 + 
  (82903040*f[a[1]^3*a[2]]*f[a[4]]*f[a[3]*b[1]*c[1]])/387420489 + 
  (2616131584*f[a[2]*a[3]]*f[a[4]]*f[a[3]*b[1]*c[1]])/1162261467 + 
  (52625408*f[a[2]]*f[a[1]*a[4]]*f[a[3]*b[1]*c[1]])/43046721 - 
  (276103168*f[a[1]^2*a[2]]*f[a[1]*a[4]]*f[a[3]*b[1]*c[1]])/387420489 + 
  (6967459840*f[a[1]^4*a[2]]*f[a[1]*a[4]]*f[a[3]*b[1]*c[1]])/
   10460353203 + (148504576*f[a[2]^3]*f[a[1]*a[4]]*f[a[3]*b[1]*c[1]])/
   1162261467 + (61374201856*f[a[1]*a[2]*a[3]]*f[a[1]*a[4]]*
     f[a[3]*b[1]*c[1]])/31381059609 - 
  (83623936*f[a[4]]*f[a[1]*a[4]]*f[a[3]*b[1]*c[1]])/387420489 + 
  (64159744*f[a[1]*a[2]]*f[a[1]^2*a[4]]*f[a[3]*b[1]*c[1]])/43046721 - 
  (18258132992*f[a[1]^3*a[2]]*f[a[1]^2*a[4]]*f[a[3]*b[1]*c[1]])/
   10460353203 - (13046054912*f[a[2]*a[3]]*f[a[1]^2*a[4]]*
     f[a[3]*b[1]*c[1]])/31381059609 - 
  (706478080*f[a[1]*a[4]]*f[a[1]^2*a[4]]*f[a[3]*b[1]*c[1]])/
   3486784401 - (36044800*f[a[1]]*f[a[2]*a[4]]*f[a[3]*b[1]*c[1]])/
   43046721 + (214827008*f[a[1]^3]*f[a[2]*a[4]]*f[a[3]*b[1]*c[1]])/
   387420489 - (6235750400*f[a[1]^5]*f[a[2]*a[4]]*f[a[3]*b[1]*c[1]])/
   10460353203 + (8474853376*f[a[1]*a[2]^2]*f[a[2]*a[4]]*
     f[a[3]*b[1]*c[1]])/10460353203 - 
  (5232263168*f[a[3]]*f[a[2]*a[4]]*f[a[3]*b[1]*c[1]])/1162261467 - 
  (6538526720*f[a[1]^2*a[3]]*f[a[2]*a[4]]*f[a[3]*b[1]*c[1]])/
   31381059609 - (82720*f[1]*f[a[5]]*f[a[3]*b[1]*c[1]])/531441 + 
  (508640*f[a[1]^2]*f[a[5]]*f[a[3]*b[1]*c[1]])/43046721 + 
  (1117600*f[a[1]^4]*f[a[5]]*f[a[3]*b[1]*c[1]])/387420489 - 
  (39820000*f[a[1]^6]*f[a[5]]*f[a[3]*b[1]*c[1]])/3486784401 + 
  (146534080*f[a[2]^2]*f[a[5]]*f[a[3]*b[1]*c[1]])/129140163 - 
  (2217047360*f[a[1]^2*a[2]^2]*f[a[5]]*f[a[3]*b[1]*c[1]])/10460353203 + 
  (223477760*f[a[1]*a[3]]*f[a[5]]*f[a[3]*b[1]*c[1]])/1162261467 - 
  (1187676160*f[a[1]^3*a[3]]*f[a[5]]*f[a[3]*b[1]*c[1]])/10460353203 - 
  (82720*f[a[3]^2]*f[a[5]]*f[a[3]*b[1]*c[1]])/177147 - 
  (18563072000*f[a[2]*a[4]]*f[a[5]]*f[a[3]*b[1]*c[1]])/10460353203 - 
  (3604480*f[a[1]]*f[a[1]*a[5]]*f[a[3]*b[1]*c[1]])/43046721 + 
  (6307840*f[a[1]^3]*f[a[1]*a[5]]*f[a[3]*b[1]*c[1]])/387420489 + 
  (45056000*f[a[1]^5]*f[a[1]*a[5]]*f[a[3]*b[1]*c[1]])/3486784401 + 
  (6581780480*f[a[1]*a[2]^2]*f[a[1]*a[5]]*f[a[3]*b[1]*c[1]])/
   10460353203 - (446955520*f[a[3]]*f[a[1]*a[5]]*f[a[3]*b[1]*c[1]])/
   1162261467 + (3163832320*f[a[1]^2*a[3]]*f[a[1]*a[5]]*
     f[a[3]*b[1]*c[1]])/10460353203 - 
  (4231659520*f[a[5]]*f[a[1]*a[5]]*f[a[3]*b[1]*c[1]])/10460353203 + 
  (34783232*f[a[1]*a[2]]*f[a[6]]*f[a[3]*b[1]*c[1]])/129140163 - 
  (173916160*f[a[1]^3*a[2]]*f[a[6]]*f[a[3]*b[1]*c[1]])/1162261467 - 
  (1166589952*f[a[2]*a[3]]*f[a[6]]*f[a[3]*b[1]*c[1]])/1162261467 + 
  (1292566528*f[a[1]*a[4]]*f[a[6]]*f[a[3]*b[1]*c[1]])/3486784401 - 
  (608*f[a[1]]*f[b[1]*c[1]]*f[a[3]*b[1]*c[1]])/19683 + 
  (3040*f[a[1]^3]*f[b[1]*c[1]]*f[a[3]*b[1]*c[1]])/177147 - 
  (76000*f[a[1]^5]*f[b[1]*c[1]]*f[a[3]*b[1]*c[1]])/4782969 - 
  (15808*f[a[1]*a[2]^2]*f[b[1]*c[1]]*f[a[3]*b[1]*c[1]])/4782969 + 
  (390944*f[a[3]]*f[b[1]*c[1]]*f[a[3]*b[1]*c[1]])/531441 - 
  (2071456*f[a[1]^2*a[3]]*f[b[1]*c[1]]*f[a[3]*b[1]*c[1]])/14348907 - 
  (142880*f[a[5]]*f[b[1]*c[1]]*f[a[3]*b[1]*c[1]])/4782969 - 
  (608*f[1]*f[a[1]*b[1]*c[1]]*f[a[3]*b[1]*c[1]])/19683 - 
  (608*f[a[1]^2]*f[a[1]*b[1]*c[1]]*f[a[3]*b[1]*c[1]])/19683 + 
  (179360*f[a[1]^4]*f[a[1]*b[1]*c[1]]*f[a[3]*b[1]*c[1]])/4782969 - 
  (6916000*f[a[1]^6]*f[a[1]*b[1]*c[1]]*f[a[3]*b[1]*c[1]])/129140163 - 
  (524096*f[a[2]^2]*f[a[1]*b[1]*c[1]]*f[a[3]*b[1]*c[1]])/1594323 + 
  (7355584*f[a[1]^2*a[2]^2]*f[a[1]*b[1]*c[1]]*f[a[3]*b[1]*c[1]])/
   129140163 + (6225920*f[a[1]*a[3]]*f[a[1]*b[1]*c[1]]*
     f[a[3]*b[1]*c[1]])/14348907 - 
  (32997376*f[a[1]^3*a[3]]*f[a[1]*b[1]*c[1]]*f[a[3]*b[1]*c[1]])/
   129140163 - (608*f[a[3]^2]*f[a[1]*b[1]*c[1]]*f[a[3]*b[1]*c[1]])/
   6561 - (62259200*f[a[2]*a[4]]*f[a[1]*b[1]*c[1]]*f[a[3]*b[1]*c[1]])/
   387420489 - (6225920*f[a[1]*a[5]]*f[a[1]*b[1]*c[1]]*
     f[a[3]*b[1]*c[1]])/387420489 - 
  (32*f[b[1]*c[1]]*f[a[1]*b[1]*c[1]]*f[a[3]*b[1]*c[1]])/6561 - 
  (608*f[a[1]]*f[a[1]^2*b[1]*c[1]]*f[a[3]*b[1]*c[1]])/19683 - 
  (229216*f[a[1]^3]*f[a[1]^2*b[1]*c[1]]*f[a[3]*b[1]*c[1]])/4782969 + 
  (13512800*f[a[1]^5]*f[a[1]^2*b[1]*c[1]]*f[a[3]*b[1]*c[1]])/
   129140163 - (155683264*f[a[1]*a[2]^2]*f[a[1]^2*b[1]*c[1]]*
     f[a[3]*b[1]*c[1]])/387420489 - 
  (1896352*f[a[3]]*f[a[1]^2*b[1]*c[1]]*f[a[3]*b[1]*c[1]])/14348907 + 
  (69453664*f[a[1]^2*a[3]]*f[a[1]^2*b[1]*c[1]]*f[a[3]*b[1]*c[1]])/
   129140163 + (878560*f[a[5]]*f[a[1]^2*b[1]*c[1]]*f[a[3]*b[1]*c[1]])/
   387420489 - (32*f[a[1]*b[1]*c[1]]*f[a[1]^2*b[1]*c[1]]*
     f[a[3]*b[1]*c[1]])/6561 + 
  (3040*f[1]*f[a[1]^3*b[1]*c[1]]*f[a[3]*b[1]*c[1]])/177147 - 
  (229216*f[a[1]^2]*f[a[1]^3*b[1]*c[1]]*f[a[3]*b[1]*c[1]])/4782969 - 
  (13274464*f[a[1]^4]*f[a[1]^3*b[1]*c[1]]*f[a[3]*b[1]*c[1]])/
   129140163 + (138639200*f[a[1]^6]*f[a[1]^3*b[1]*c[1]]*
     f[a[3]*b[1]*c[1]])/387420489 + 
  (18603584*f[a[2]^2]*f[a[1]^3*b[1]*c[1]]*f[a[3]*b[1]*c[1]])/
   129140163 - (886616000*f[a[1]^2*a[2]^2]*f[a[1]^3*b[1]*c[1]]*
     f[a[3]*b[1]*c[1]])/1162261467 - 
  (30195712*f[a[1]*a[3]]*f[a[1]^3*b[1]*c[1]]*f[a[3]*b[1]*c[1]])/
   129140163 + (3638738944*f[a[1]^3*a[3]]*f[a[1]^3*b[1]*c[1]]*
     f[a[3]*b[1]*c[1]])/3486784401 + 
  (19634144*f[a[3]^2]*f[a[1]^3*b[1]*c[1]]*f[a[3]*b[1]*c[1]])/
   387420489 + (371064832*f[a[2]*a[4]]*f[a[1]^3*b[1]*c[1]]*
     f[a[3]*b[1]*c[1]])/3486784401 + 
  (10895360*f[a[1]*a[5]]*f[a[1]^3*b[1]*c[1]]*f[a[3]*b[1]*c[1]])/
   3486784401 + (160*f[b[1]*c[1]]*f[a[1]^3*b[1]*c[1]]*
     f[a[3]*b[1]*c[1]])/59049 - 
  (12064*f[a[1]^2*b[1]*c[1]]*f[a[1]^3*b[1]*c[1]]*f[a[3]*b[1]*c[1]])/
   1594323 + (179360*f[a[1]]*f[a[1]^4*b[1]*c[1]]*f[a[3]*b[1]*c[1]])/
   4782969 - (13274464*f[a[1]^3]*f[a[1]^4*b[1]*c[1]]*
     f[a[3]*b[1]*c[1]])/129140163 - 
  (332457440*f[a[1]^5]*f[a[1]^4*b[1]*c[1]]*f[a[3]*b[1]*c[1]])/
   1162261467 + (413083712*f[a[1]*a[2]^2]*f[a[1]^4*b[1]*c[1]]*
     f[a[3]*b[1]*c[1]])/1162261467 + 
  (9189920*f[a[3]]*f[a[1]^4*b[1]*c[1]]*f[a[3]*b[1]*c[1]])/129140163 - 
  (1972054688*f[a[1]^2*a[3]]*f[a[1]^4*b[1]*c[1]]*f[a[3]*b[1]*c[1]])/
   3486784401 + (1930400*f[a[5]]*f[a[1]^4*b[1]*c[1]]*
     f[a[3]*b[1]*c[1]])/3486784401 + 
  (9440*f[a[1]*b[1]*c[1]]*f[a[1]^4*b[1]*c[1]]*f[a[3]*b[1]*c[1]])/
   1594323 - (698656*f[a[1]^3*b[1]*c[1]]*f[a[1]^4*b[1]*c[1]]*
     f[a[3]*b[1]*c[1]])/43046721 + 
  (311296*f[a[1]*a[2]]*f[a[2]*b[1]*c[1]]*f[a[3]*b[1]*c[1]])/1594323 - 
  (1556480*f[a[1]^3*a[2]]*f[a[2]*b[1]*c[1]]*f[a[3]*b[1]*c[1]])/
   14348907 - (65060864*f[a[2]*a[3]]*f[a[2]*b[1]*c[1]]*
     f[a[3]*b[1]*c[1]])/129140163 + 
  (90898432*f[a[1]*a[4]]*f[a[2]*b[1]*c[1]]*f[a[3]*b[1]*c[1]])/
   387420489 + (311296*f[a[2]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[3]*b[1]*c[1]])/1594323 + 
  (80625664*f[a[1]^2*a[2]]*f[a[1]*a[2]*b[1]*c[1]]*f[a[3]*b[1]*c[1]])/
   387420489 - (876298240*f[a[1]^4*a[2]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[3]*b[1]*c[1]])/3486784401 + 
  (422739968*f[a[2]^3]*f[a[1]*a[2]*b[1]*c[1]]*f[a[3]*b[1]*c[1]])/
   387420489 - (4477681664*f[a[1]*a[2]*a[3]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[3]*b[1]*c[1]])/10460353203 - 
  (28639232*f[a[4]]*f[a[1]*a[2]*b[1]*c[1]]*f[a[3]*b[1]*c[1]])/
   387420489 + (110821376*f[a[1]^2*a[4]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[3]*b[1]*c[1]])/387420489 + 
  (60080128*f[a[6]]*f[a[1]*a[2]*b[1]*c[1]]*f[a[3]*b[1]*c[1]])/
   1162261467 + (16384*f[a[2]*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[3]*b[1]*c[1]])/531441 + 
  (80625664*f[a[1]*a[2]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[3]*b[1]*c[1]])/
   387420489 + (132300800*f[a[1]^3*a[2]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[3]*b[1]*c[1]])/387420489 + 
  (310362112*f[a[2]*a[3]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[3]*b[1]*c[1]])/
   3486784401 - (476905472*f[a[1]*a[4]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[3]*b[1]*c[1]])/3486784401 + 
  (4243456*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[3]*b[1]*c[1]])/129140163 - 
  (524096*f[a[1]]*f[a[2]^2*b[1]*c[1]]*f[a[3]*b[1]*c[1]])/1594323 + 
  (18603584*f[a[1]^3]*f[a[2]^2*b[1]*c[1]]*f[a[3]*b[1]*c[1]])/
   129140163 - (340571200*f[a[1]^5]*f[a[2]^2*b[1]*c[1]]*
     f[a[3]*b[1]*c[1]])/3486784401 - 
  (917489024*f[a[1]*a[2]^2]*f[a[2]^2*b[1]*c[1]]*f[a[3]*b[1]*c[1]])/
   1162261467 - (59877056*f[a[3]]*f[a[2]^2*b[1]*c[1]]*
     f[a[3]*b[1]*c[1]])/129140163 + 
  (2746864960*f[a[1]^2*a[3]]*f[a[2]^2*b[1]*c[1]]*f[a[3]*b[1]*c[1]])/
   10460353203 + (253104320*f[a[5]]*f[a[2]^2*b[1]*c[1]]*
     f[a[3]*b[1]*c[1]])/1162261467 - 
  (27584*f[a[1]*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]]*f[a[3]*b[1]*c[1]])/
   531441 + (979136*f[a[1]^3*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]]*
     f[a[3]*b[1]*c[1]])/43046721 + 
  (195472*f[1]*f[a[3]*b[1]*c[1]]^2)/531441 - 
  (948176*f[a[1]^2]*f[a[3]*b[1]*c[1]]^2)/14348907 + 
  (4594960*f[a[1]^4]*f[a[3]*b[1]*c[1]]^2)/129140163 - 
  (111226000*f[a[1]^6]*f[a[3]*b[1]*c[1]]^2)/3486784401 - 
  (29938528*f[a[2]^2]*f[a[3]*b[1]*c[1]]^2)/129140163 + 
  (150451424*f[a[1]^2*a[2]^2]*f[a[3]*b[1]*c[1]]^2)/3486784401 + 
  (311296*f[a[1]^3*a[3]]*f[a[3]*b[1]*c[1]]^2)/387420489 + 
  (195472*f[a[3]^2]*f[a[3]*b[1]*c[1]]^2)/177147 - 
  (4518772736*f[a[2]*a[4]]*f[a[3]*b[1]*c[1]]^2)/10460353203 - 
  (386007040*f[a[1]*a[5]]*f[a[3]*b[1]*c[1]]^2)/10460353203 + 
  (10288*f[b[1]*c[1]]*f[a[3]*b[1]*c[1]]^2)/177147 - 
  (49904*f[a[1]^2*b[1]*c[1]]*f[a[3]*b[1]*c[1]]^2)/4782969 + 
  (241840*f[a[1]^4*b[1]*c[1]]*f[a[3]*b[1]*c[1]]^2)/43046721 - 
  (1575712*f[a[2]^2*b[1]*c[1]]*f[a[3]*b[1]*c[1]]^2)/43046721 + 
  (352*f[1]^2*f[a[1]*a[3]*b[1]*c[1]])/2187 - 
  (4928*f[1]*f[a[1]^2]*f[a[1]*a[3]*b[1]*c[1]])/19683 - 
  (38368*f[a[1]^2]^2*f[a[1]*a[3]*b[1]*c[1]])/531441 - 
  (180224*f[a[1]]*f[a[1]^3]*f[a[1]*a[3]*b[1]*c[1]])/531441 - 
  (3063808*f[a[1]^3]^2*f[a[1]*a[3]*b[1]*c[1]])/14348907 + 
  (130240*f[1]*f[a[1]^4]*f[a[1]*a[3]*b[1]*c[1]])/531441 - 
  (8862656*f[a[1]^2]*f[a[1]^4]*f[a[1]*a[3]*b[1]*c[1]])/14348907 - 
  (84192416*f[a[1]^4]^2*f[a[1]*a[3]*b[1]*c[1]])/129140163 + 
  (9011200*f[a[1]]*f[a[1]^5]*f[a[1]*a[3]*b[1]*c[1]])/14348907 - 
  (182927360*f[a[1]^3]*f[a[1]^5]*f[a[1]*a[3]*b[1]*c[1]])/129140163 - 
  (2661908480*f[a[1]^5]^2*f[a[1]*a[3]*b[1]*c[1]])/1162261467 - 
  (4664000*f[1]*f[a[1]^6]*f[a[1]*a[3]*b[1]*c[1]])/14348907 + 
  (253422400*f[a[1]^2]*f[a[1]^6]*f[a[1]*a[3]*b[1]*c[1]])/129140163 - 
  (4552313920*f[a[1]^4]*f[a[1]^6]*f[a[1]*a[3]*b[1]*c[1]])/1162261467 - 
  (294631013600*f[a[1]^6]^2*f[a[1]*a[3]*b[1]*c[1]])/31381059609 - 
  (180224*f[a[2]]^2*f[a[1]*a[3]*b[1]*c[1]])/177147 - 
  (2883584*f[a[1]*a[2]]^2*f[a[1]*a[3]*b[1]*c[1]])/43046721 + 
  (65241088*f[a[2]]*f[a[1]^2*a[2]]*f[a[1]*a[3]*b[1]*c[1]])/43046721 + 
  (5586944*f[a[1]^2*a[2]]^2*f[a[1]*a[3]*b[1]*c[1]])/14348907 + 
  (859308032*f[a[1]*a[2]]*f[a[1]^3*a[2]]*f[a[1]*a[3]*b[1]*c[1]])/
   387420489 + (4633919488*f[a[1]^3*a[2]]^2*f[a[1]*a[3]*b[1]*c[1]])/
   3486784401 - (571310080*f[a[2]]*f[a[1]^4*a[2]]*
     f[a[1]*a[3]*b[1]*c[1]])/387420489 + 
  (45421133824*f[a[1]^2*a[2]]*f[a[1]^4*a[2]]*f[a[1]*a[3]*b[1]*c[1]])/
   10460353203 + (1238751100928*f[a[1]^4*a[2]]^2*f[a[1]*a[3]*b[1]*c[1]])/
   282429536481 + (919424*f[1]*f[a[2]^2]*f[a[1]*a[3]*b[1]*c[1]])/
   531441 - (89643136*f[a[1]^2]*f[a[2]^2]*f[a[1]*a[3]*b[1]*c[1]])/
   43046721 + (642925184*f[a[1]^4]*f[a[2]^2]*f[a[1]*a[3]*b[1]*c[1]])/
   387420489 - (5442377600*f[a[1]^6]*f[a[2]^2]*f[a[1]*a[3]*b[1]*c[1]])/
   3486784401 + (531177856*f[a[2]^2]^2*f[a[1]*a[3]*b[1]*c[1]])/
   129140163 + (2883584*f[a[1]]*f[a[1]*a[2]^2]*f[a[1]*a[3]*b[1]*c[1]])/
   43046721 - (146702336*f[a[1]^3]*f[a[1]*a[2]^2]*
     f[a[1]*a[3]*b[1]*c[1]])/43046721 + 
  (50891653120*f[a[1]^5]*f[a[1]*a[2]^2]*f[a[1]*a[3]*b[1]*c[1]])/
   10460353203 + (10409738240*f[a[1]*a[2]^2]^2*f[a[1]*a[3]*b[1]*c[1]])/
   10460353203 - (4889984*f[1]*f[a[1]^2*a[2]^2]*
     f[a[1]*a[3]*b[1]*c[1]])/14348907 - 
  (289117312*f[a[1]^2]*f[a[1]^2*a[2]^2]*f[a[1]*a[3]*b[1]*c[1]])/
   387420489 - (79520363648*f[a[1]^4]*f[a[1]^2*a[2]^2]*
     f[a[1]*a[3]*b[1]*c[1]])/10460353203 + 
  (1627037920640*f[a[1]^6]*f[a[1]^2*a[2]^2]*f[a[1]*a[3]*b[1]*c[1]])/
   94143178827 - (56293752064*f[a[2]^2]*f[a[1]^2*a[2]^2]*
     f[a[1]*a[3]*b[1]*c[1]])/10460353203 - 
  (217524821888*f[a[1]^2*a[2]^2]^2*f[a[1]*a[3]*b[1]*c[1]])/282429536481 - 
  (258801664*f[a[2]]*f[a[2]^3]*f[a[1]*a[3]*b[1]*c[1]])/43046721 + 
  (16967729152*f[a[1]^2*a[2]]*f[a[2]^3]*f[a[1]*a[3]*b[1]*c[1]])/
   3486784401 - (265777774592*f[a[1]^4*a[2]]*f[a[2]^3]*
     f[a[1]*a[3]*b[1]*c[1]])/282429536481 - 
  (208068608000*f[a[2]^3]^2*f[a[1]*a[3]*b[1]*c[1]])/10460353203 + 
  (3604480*f[a[1]]*f[a[3]]*f[a[1]*a[3]*b[1]*c[1]])/1594323 - 
  (17481728*f[a[1]^3]*f[a[3]]*f[a[1]*a[3]*b[1]*c[1]])/14348907 + 
  (423526400*f[a[1]^5]*f[a[3]]*f[a[1]*a[3]*b[1]*c[1]])/387420489 - 
  (555089920*f[a[1]*a[2]^2]*f[a[3]]*f[a[1]*a[3]*b[1]*c[1]])/387420489 + 
  (3705856*f[1]*f[a[1]*a[3]]*f[a[1]*a[3]*b[1]*c[1]])/1594323 + 
  (10757120*f[a[1]^2]*f[a[1]*a[3]]*f[a[1]*a[3]*b[1]*c[1]])/4782969 - 
  (1026184192*f[a[1]^4]*f[a[1]*a[3]]*f[a[1]*a[3]*b[1]*c[1]])/
   387420489 + (38342374400*f[a[1]^6]*f[a[1]*a[3]]*
     f[a[1]*a[3]*b[1]*c[1]])/10460353203 - 
  (2732939264*f[a[2]^2]*f[a[1]*a[3]]*f[a[1]*a[3]*b[1]*c[1]])/
   1162261467 - (39900760064*f[a[1]^2*a[2]^2]*f[a[1]*a[3]]*
     f[a[1]*a[3]*b[1]*c[1]])/31381059609 + 
  (180224*f[a[1]*a[3]]^2*f[a[1]*a[3]*b[1]*c[1]])/43046721 + 
  (10993664*f[a[1]]*f[a[1]^2*a[3]]*f[a[1]*a[3]*b[1]*c[1]])/4782969 + 
  (1348075520*f[a[1]^3]*f[a[1]^2*a[3]]*f[a[1]*a[3]*b[1]*c[1]])/
   387420489 - (77003407360*f[a[1]^5]*f[a[1]^2*a[3]]*
     f[a[1]*a[3]*b[1]*c[1]])/10460353203 - 
  (61906583552*f[a[1]*a[2]^2]*f[a[1]^2*a[3]]*f[a[1]*a[3]*b[1]*c[1]])/
   31381059609 - (180224*f[a[3]]*f[a[1]^2*a[3]]*
     f[a[1]*a[3]*b[1]*c[1]])/43046721 + 
  (6668288*f[a[1]^2*a[3]]^2*f[a[1]*a[3]*b[1]*c[1]])/1162261467 - 
  (19610624*f[1]*f[a[1]^3*a[3]]*f[a[1]*a[3]*b[1]*c[1]])/14348907 + 
  (1366830080*f[a[1]^2]*f[a[1]^3*a[3]]*f[a[1]*a[3]*b[1]*c[1]])/
   387420489 + (78058449920*f[a[1]^4]*f[a[1]^3*a[3]]*
     f[a[1]*a[3]*b[1]*c[1]])/10460353203 - 
  (787727395840*f[a[1]^6]*f[a[1]^3*a[3]]*f[a[1]*a[3]*b[1]*c[1]])/
   31381059609 + (10678429696*f[a[2]^2]*f[a[1]^3*a[3]]*
     f[a[1]*a[3]*b[1]*c[1]])/3486784401 - 
  (82282010624*f[a[1]^2*a[2]^2]*f[a[1]^3*a[3]]*f[a[1]*a[3]*b[1]*c[1]])/
   31381059609 - (16941056*f[a[1]*a[3]]*f[a[1]^3*a[3]]*
     f[a[1]*a[3]*b[1]*c[1]])/1162261467 + 
  (71188480*f[a[1]^3*a[3]]^2*f[a[1]*a[3]*b[1]*c[1]])/10460353203 - 
  (997720064*f[a[1]*a[2]]*f[a[2]*a[3]]*f[a[1]*a[3]*b[1]*c[1]])/
   1162261467 + (4711776256*f[a[1]^3*a[2]]*f[a[2]*a[3]]*
     f[a[1]*a[3]*b[1]*c[1]])/10460353203 - 
  (72089600*f[a[2]*a[3]]^2*f[a[1]*a[3]*b[1]*c[1]])/387420489 - 
  (1335099392*f[a[2]]*f[a[1]*a[2]*a[3]]*f[a[1]*a[3]*b[1]*c[1]])/
   1162261467 - (50627084288*f[a[1]^2*a[2]]*f[a[1]*a[2]*a[3]]*
     f[a[1]*a[3]*b[1]*c[1]])/31381059609 + 
  (513073217536*f[a[1]^4*a[2]]*f[a[1]*a[2]*a[3]]*
     f[a[1]*a[3]*b[1]*c[1]])/282429536481 + 
  (406729523200*f[a[2]^3]*f[a[1]*a[2]*a[3]]*f[a[1]*a[3]*b[1]*c[1]])/
   94143178827 - (92274688*f[a[1]*a[2]*a[3]]^2*f[a[1]*a[3]*b[1]*c[1]])/
   3486784401 - (2623808*f[1]*f[a[3]^2]*f[a[1]*a[3]*b[1]*c[1]])/
   4782969 - (60784064*f[a[1]^2]*f[a[3]^2]*f[a[1]*a[3]*b[1]*c[1]])/
   129140163 + (661901504*f[a[1]^4]*f[a[3]^2]*f[a[1]*a[3]*b[1]*c[1]])/
   1162261467 - (25208708800*f[a[1]^6]*f[a[3]^2]*
     f[a[1]*a[3]*b[1]*c[1]])/31381059609 - 
  (16955576704*f[a[2]^2]*f[a[3]^2]*f[a[1]*a[3]*b[1]*c[1]])/3486784401 + 
  (98391125888*f[a[1]^2*a[2]^2]*f[a[3]^2]*f[a[1]*a[3]*b[1]*c[1]])/
   94143178827 + (7872939008*f[a[1]*a[3]]*f[a[3]^2]*
     f[a[1]*a[3]*b[1]*c[1]])/1162261467 - 
  (13290855424*f[a[1]^3*a[3]]*f[a[3]^2]*f[a[1]*a[3]*b[1]*c[1]])/
   3486784401 - (22588317664*f[a[3]^2]^2*f[a[1]*a[3]*b[1]*c[1]])/
   31381059609 - (36044800*f[a[2]]*f[a[4]]*f[a[1]*a[3]*b[1]*c[1]])/
   43046721 - (105250816*f[a[1]^2*a[2]]*f[a[4]]*
     f[a[1]*a[3]*b[1]*c[1]])/387420489 + 
  (4058644480*f[a[1]^4*a[2]]*f[a[4]]*f[a[1]*a[3]*b[1]*c[1]])/
   10460353203 - (14417920*f[a[2]^3]*f[a[4]]*f[a[1]*a[3]*b[1]*c[1]])/
   3486784401 + (25525485568*f[a[1]*a[2]*a[3]]*f[a[4]]*
     f[a[1]*a[3]*b[1]*c[1]])/31381059609 + 
  (83623936*f[a[4]]^2*f[a[1]*a[3]*b[1]*c[1]])/387420489 + 
  (23068672*f[a[1]*a[2]]*f[a[1]*a[4]]*f[a[1]*a[3]*b[1]*c[1]])/
   387420489 - (8835301376*f[a[1]^3*a[2]]*f[a[1]*a[4]]*
     f[a[1]*a[3]*b[1]*c[1]])/10460353203 + 
  (22307405824*f[a[2]*a[3]]*f[a[1]*a[4]]*f[a[1]*a[3]*b[1]*c[1]])/
   31381059609 - (46137344*f[a[1]*a[4]]^2*f[a[1]*a[3]*b[1]*c[1]])/
   3486784401 + (632946688*f[a[2]]*f[a[1]^2*a[4]]*
     f[a[1]*a[3]*b[1]*c[1]])/387420489 + 
  (4551737344*f[a[1]^2*a[2]]*f[a[1]^2*a[4]]*f[a[1]*a[3]*b[1]*c[1]])/
   10460353203 - (762769965056*f[a[1]^4*a[2]]*f[a[1]^2*a[4]]*
     f[a[1]*a[3]*b[1]*c[1]])/282429536481 - 
  (243688800256*f[a[2]^3]*f[a[1]^2*a[4]]*f[a[1]*a[3]*b[1]*c[1]])/
   282429536481 + (403205783552*f[a[1]*a[2]*a[3]]*f[a[1]^2*a[4]]*
     f[a[1]*a[3]*b[1]*c[1]])/282429536481 - 
  (1216872448*f[a[4]]*f[a[1]^2*a[4]]*f[a[1]*a[3]*b[1]*c[1]])/
   3486784401 - (10360717312*f[a[1]^2*a[4]]^2*f[a[1]*a[3]*b[1]*c[1]])/
   94143178827 + (35323904*f[1]*f[a[2]*a[4]]*f[a[1]*a[3]*b[1]*c[1]])/
   43046721 - (489488384*f[a[1]^2]*f[a[2]*a[4]]*
     f[a[1]*a[3]*b[1]*c[1]])/387420489 + 
  (16016146432*f[a[1]^4]*f[a[2]*a[4]]*f[a[1]*a[3]*b[1]*c[1]])/
   10460353203 - (672613990400*f[a[1]^6]*f[a[2]*a[4]]*
     f[a[1]*a[3]*b[1]*c[1]])/282429536481 + 
  (15682371584*f[a[2]^2]*f[a[2]*a[4]]*f[a[1]*a[3]*b[1]*c[1]])/
   10460353203 + (242747310080*f[a[1]^2*a[2]^2]*f[a[2]*a[4]]*
     f[a[1]*a[3]*b[1]*c[1]])/847288609443 - 
  (51050971136*f[a[1]*a[3]]*f[a[2]*a[4]]*f[a[1]*a[3]*b[1]*c[1]])/
   31381059609 - (282891124736*f[a[1]^3*a[3]]*f[a[2]*a[4]]*
     f[a[1]*a[3]*b[1]*c[1]])/282429536481 - 
  (52000391168*f[a[3]^2]*f[a[2]*a[4]]*f[a[1]*a[3]*b[1]*c[1]])/
   31381059609 + (1174472228864*f[a[2]*a[4]]^2*f[a[1]*a[3]*b[1]*c[1]])/
   847288609443 - (3604480*f[a[1]]*f[a[5]]*f[a[1]*a[3]*b[1]*c[1]])/
   43046721 + (6307840*f[a[1]^3]*f[a[5]]*f[a[1]*a[3]*b[1]*c[1]])/
   387420489 + (45056000*f[a[1]^5]*f[a[5]]*f[a[1]*a[3]*b[1]*c[1]])/
   3486784401 + (2501509120*f[a[1]*a[2]^2]*f[a[5]]*
     f[a[1]*a[3]*b[1]*c[1]])/3486784401 + 
  (223477760*f[a[3]]*f[a[5]]*f[a[1]*a[3]*b[1]*c[1]])/1162261467 + 
  (682147840*f[a[1]^2*a[3]]*f[a[5]]*f[a[1]*a[3]*b[1]*c[1]])/
   3486784401 + (4231659520*f[a[5]]^2*f[a[1]*a[3]*b[1]*c[1]])/
   10460353203 - (5800960*f[1]*f[a[1]*a[5]]*f[a[1]*a[3]*b[1]*c[1]])/
   43046721 - (28779520*f[a[1]^2]*f[a[1]*a[5]]*f[a[1]*a[3]*b[1]*c[1]])/
   387420489 + (86225920*f[a[1]^4]*f[a[1]*a[5]]*
     f[a[1]*a[3]*b[1]*c[1]])/3486784401 + 
  (16601728000*f[a[1]^6]*f[a[1]*a[5]]*f[a[1]*a[3]*b[1]*c[1]])/
   282429536481 + (1141606400*f[a[2]^2]*f[a[1]*a[5]]*
     f[a[1]*a[3]*b[1]*c[1]])/3486784401 + 
  (630768343040*f[a[1]^2*a[2]^2]*f[a[1]*a[5]]*f[a[1]*a[3]*b[1]*c[1]])/
   847288609443 - (23429120*f[a[1]*a[3]]*f[a[1]*a[5]]*
     f[a[1]*a[3]*b[1]*c[1]])/3486784401 + 
  (117724119040*f[a[1]^3*a[3]]*f[a[1]*a[5]]*f[a[1]*a[3]*b[1]*c[1]])/
   282429536481 - (22995174400*f[a[3]^2]*f[a[1]*a[5]]*
     f[a[1]*a[3]*b[1]*c[1]])/94143178827 - 
  (736928727040*f[a[2]*a[4]]*f[a[1]*a[5]]*f[a[1]*a[3]*b[1]*c[1]])/
   847288609443 + (761446400*f[a[1]*a[5]]^2*f[a[1]*a[3]*b[1]*c[1]])/
   282429536481 + (250511360*f[a[2]]*f[a[6]]*f[a[1]*a[3]*b[1]*c[1]])/
   1162261467 + (8116207616*f[a[1]^2*a[2]]*f[a[6]]*
     f[a[1]*a[3]*b[1]*c[1]])/31381059609 - 
  (87424860160*f[a[1]^4*a[2]]*f[a[6]]*f[a[1]*a[3]*b[1]*c[1]])/
   282429536481 - (16324689920*f[a[2]^3]*f[a[6]]*
     f[a[1]*a[3]*b[1]*c[1]])/94143178827 - 
  (9587916800*f[a[1]*a[2]*a[3]]*f[a[6]]*f[a[1]*a[3]*b[1]*c[1]])/
   31381059609 - (6071386112*f[a[4]]*f[a[6]]*f[a[1]*a[3]*b[1]*c[1]])/
   10460353203 + (157038542848*f[a[1]^2*a[4]]*f[a[6]]*
     f[a[1]*a[3]*b[1]*c[1]])/282429536481 - 
  (32042565632*f[a[6]]^2*f[a[1]*a[3]*b[1]*c[1]])/94143178827 + 
  (1216*f[1]*f[b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]])/19683 - 
  (8512*f[a[1]^2]*f[b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]])/177147 + 
  (224960*f[a[1]^4]*f[b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]])/4782969 - 
  (8056000*f[a[1]^6]*f[b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]])/129140163 + 
  (1588096*f[a[2]^2]*f[b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]])/4782969 - 
  (8446336*f[a[1]^2*a[2]^2]*f[b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]])/
   129140163 + (6401024*f[a[1]*a[3]]*f[b[1]*c[1]]*
     f[a[1]*a[3]*b[1]*c[1]])/14348907 - 
  (33872896*f[a[1]^3*a[3]]*f[b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]])/
   129140163 - (4532032*f[a[3]^2]*f[b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]])/
   43046721 + (61014016*f[a[2]*a[4]]*f[b[1]*c[1]]*
     f[a[1]*a[3]*b[1]*c[1]])/387420489 - 
  (10019840*f[a[1]*a[5]]*f[b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]])/
   387420489 + (32*f[b[1]*c[1]]^2*f[a[1]*a[3]*b[1]*c[1]])/6561 - 
  (311296*f[a[1]^3]*f[a[1]*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]])/4782969 + 
  (15564800*f[a[1]^5]*f[a[1]*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]])/
   129140163 + (4980736*f[a[1]*a[2]^2]*f[a[1]*b[1]*c[1]]*
     f[a[1]*a[3]*b[1]*c[1]])/387420489 + 
  (6225920*f[a[3]]*f[a[1]*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]])/14348907 + 
  (18989056*f[a[1]^2*a[3]]*f[a[1]*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]])/
   43046721 - (6225920*f[a[5]]*f[a[1]*b[1]*c[1]]*
     f[a[1]*a[3]*b[1]*c[1]])/387420489 - 
  (8512*f[1]*f[a[1]^2*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]])/177147 - 
  (132544*f[a[1]^2]*f[a[1]^2*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]])/
   4782969 - (15308224*f[a[1]^4]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]*a[3]*b[1]*c[1]])/129140163 + 
  (437729600*f[a[1]^6]*f[a[1]^2*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]])/
   1162261467 - (154838144*f[a[2]^2]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]*a[3]*b[1]*c[1]])/387420489 - 
  (499384448*f[a[1]^2*a[2]^2]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]*a[3]*b[1]*c[1]])/3486784401 + 
  (18580480*f[a[1]*a[3]]*f[a[1]^2*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]])/
   43046721 + (2360888320*f[a[1]^3*a[3]]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]*a[3]*b[1]*c[1]])/3486784401 - 
  (104990656*f[a[3]^2]*f[a[1]^2*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]])/
   1162261467 - (845479936*f[a[2]*a[4]]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]*a[3]*b[1]*c[1]])/3486784401 - 
  (49710080*f[a[1]*a[5]]*f[a[1]^2*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]])/
   3486784401 - (448*f[b[1]*c[1]]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]*a[3]*b[1]*c[1]])/59049 - 
  (3488*f[a[1]^2*b[1]*c[1]]^2*f[a[1]*a[3]*b[1]*c[1]])/1594323 - 
  (311296*f[a[1]]*f[a[1]^3*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]])/4782969 - 
  (10584064*f[a[1]^3]*f[a[1]^3*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]])/
   129140163 - (315965440*f[a[1]^5]*f[a[1]^3*b[1]*c[1]]*
     f[a[1]*a[3]*b[1]*c[1]])/1162261467 - 
  (253394944*f[a[1]*a[2]^2]*f[a[1]^3*b[1]*c[1]]*
     f[a[1]*a[3]*b[1]*c[1]])/387420489 - 
  (30195712*f[a[3]]*f[a[1]^3*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]])/
   129140163 + (2328494080*f[a[1]^2*a[3]]*f[a[1]^3*b[1]*c[1]]*
     f[a[1]*a[3]*b[1]*c[1]])/3486784401 + 
  (10895360*f[a[5]]*f[a[1]^3*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]])/
   3486784401 - (16384*f[a[1]*b[1]*c[1]]*f[a[1]^3*b[1]*c[1]]*
     f[a[1]*a[3]*b[1]*c[1]])/1594323 - 
  (278528*f[a[1]^3*b[1]*c[1]]^2*f[a[1]*a[3]*b[1]*c[1]])/43046721 + 
  (224960*f[1]*f[a[1]^4*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]])/4782969 - 
  (15308224*f[a[1]^2]*f[a[1]^4*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]])/
   129140163 - (290846528*f[a[1]^4]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]*a[3]*b[1]*c[1]])/1162261467 - 
  (7863087680*f[a[1]^6]*f[a[1]^4*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]])/
   10460353203 + (1110507136*f[a[2]^2]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]*a[3]*b[1]*c[1]])/3486784401 - 
  (137353355392*f[a[1]^2*a[2]^2]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]*a[3]*b[1]*c[1]])/94143178827 - 
  (1772499968*f[a[1]*a[3]]*f[a[1]^4*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]])/
   3486784401 + (134828231680*f[a[1]^3*a[3]]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]*a[3]*b[1]*c[1]])/94143178827 + 
  (1143284416*f[a[3]^2]*f[a[1]^4*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]])/
   10460353203 + (27664252928*f[a[2]*a[4]]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]*a[3]*b[1]*c[1]])/94143178827 + 
  (148935680*f[a[1]*a[5]]*f[a[1]^4*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]])/
   31381059609 + (11840*f[b[1]*c[1]]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]*a[3]*b[1]*c[1]])/1594323 - 
  (805696*f[a[1]^2*b[1]*c[1]]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]*a[3]*b[1]*c[1]])/43046721 - 
  (7653856*f[a[1]^4*b[1]*c[1]]^2*f[a[1]*a[3]*b[1]*c[1]])/387420489 - 
  (622592*f[a[2]]*f[a[2]*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]])/1594323 + 
  (112689152*f[a[1]^2*a[2]]*f[a[2]*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]])/
   387420489 - (986808320*f[a[1]^4*a[2]]*f[a[2]*b[1]*c[1]]*
     f[a[1]*a[3]*b[1]*c[1]])/3486784401 - 
  (447021056*f[a[2]^3]*f[a[2]*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]])/
   387420489 - (2306080768*f[a[1]*a[2]*a[3]]*f[a[2]*b[1]*c[1]]*
     f[a[1]*a[3]*b[1]*c[1]])/10460353203 - 
  (62259200*f[a[4]]*f[a[2]*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]])/
   387420489 + (1093271552*f[a[1]^2*a[4]]*f[a[2]*b[1]*c[1]]*
     f[a[1]*a[3]*b[1]*c[1]])/3486784401 + 
  (432701440*f[a[6]]*f[a[2]*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]])/
   10460353203 - (16384*f[a[2]*b[1]*c[1]]^2*f[a[1]*a[3]*b[1]*c[1]])/
   531441 - (9961472*f[a[1]*a[2]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[1]*a[3]*b[1]*c[1]])/387420489 + 
  (1484259328*f[a[1]^3*a[2]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[1]*a[3]*b[1]*c[1]])/3486784401 - 
  (1723334656*f[a[2]*a[3]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[1]*a[3]*b[1]*c[1]])/10460353203 + 
  (39845888*f[a[1]*a[4]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[1]*a[3]*b[1]*c[1]])/3486784401 - 
  (262144*f[a[1]*a[2]*b[1]*c[1]]^2*f[a[1]*a[3]*b[1]*c[1]])/129140163 + 
  (112689152*f[a[2]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]])/
   387420489 + (19300352*f[a[1]^2*a[2]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*a[3]*b[1]*c[1]])/129140163 + 
  (78454685696*f[a[1]^4*a[2]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*a[3]*b[1]*c[1]])/94143178827 + 
  (29307895808*f[a[2]^3]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*a[3]*b[1]*c[1]])/31381059609 - 
  (87446781952*f[a[1]*a[2]*a[3]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*a[3]*b[1]*c[1]])/282429536481 - 
  (181796864*f[a[4]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]])/
   3486784401 + (7862091776*f[a[1]^2*a[4]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*a[3]*b[1]*c[1]])/94143178827 + 
  (14018904064*f[a[6]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*a[3]*b[1]*c[1]])/282429536481 + 
  (5931008*f[a[2]*b[1]*c[1]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*a[3]*b[1]*c[1]])/129140163 + 
  (507904*f[a[1]^2*a[2]*b[1]*c[1]]^2*f[a[1]*a[3]*b[1]*c[1]])/43046721 + 
  (1588096*f[1]*f[a[2]^2*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]])/4782969 - 
  (154838144*f[a[1]^2]*f[a[2]^2*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]])/
   387420489 + (1110507136*f[a[1]^4]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]*a[3]*b[1]*c[1]])/3486784401 - 
  (9400470400*f[a[1]^6]*f[a[2]^2*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]])/
   31381059609 + (1834978048*f[a[2]^2]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]*a[3]*b[1]*c[1]])/1162261467 - 
  (97234662656*f[a[1]^2*a[2]^2]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]*a[3]*b[1]*c[1]])/94143178827 - 
  (4720531456*f[a[1]*a[3]]*f[a[2]^2*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]])/
   10460353203 + (18444560384*f[a[1]^3*a[3]]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]*a[3]*b[1]*c[1]])/31381059609 - 
  (29286905216*f[a[3]^2]*f[a[2]^2*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]])/
   31381059609 + (27087732736*f[a[2]*a[4]]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]*a[3]*b[1]*c[1]])/94143178827 + 
  (1971865600*f[a[1]*a[5]]*f[a[2]^2*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]])/
   31381059609 + (83584*f[b[1]*c[1]]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]*a[3]*b[1]*c[1]])/1594323 - 
  (8149376*f[a[1]^2*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]*a[3]*b[1]*c[1]])/129140163 + 
  (58447744*f[a[1]^4*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]*a[3]*b[1]*c[1]])/1162261467 + 
  (48288896*f[a[2]^2*b[1]*c[1]]^2*f[a[1]*a[3]*b[1]*c[1]])/387420489 + 
  (6225920*f[a[1]]*f[a[3]*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]])/14348907 - 
  (30195712*f[a[1]^3]*f[a[3]*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]])/
   129140163 + (731545600*f[a[1]^5]*f[a[3]*b[1]*c[1]]*
     f[a[1]*a[3]*b[1]*c[1]])/3486784401 - 
  (958791680*f[a[1]*a[2]^2]*f[a[3]*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]])/
   3486784401 - (311296*f[a[1]^2*a[3]]*f[a[3]*b[1]*c[1]]*
     f[a[1]*a[3]*b[1]*c[1]])/387420489 + 
  (386007040*f[a[5]]*f[a[3]*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]])/
   10460353203 + (327680*f[a[1]*b[1]*c[1]]*f[a[3]*b[1]*c[1]]*
     f[a[1]*a[3]*b[1]*c[1]])/4782969 - 
  (1589248*f[a[1]^3*b[1]*c[1]]*f[a[3]*b[1]*c[1]]*
     f[a[1]*a[3]*b[1]*c[1]])/43046721 + 
  (3200512*f[1]*f[a[1]*a[3]*b[1]*c[1]]^2)/14348907 + 
  (9290240*f[a[1]^2]*f[a[1]*a[3]*b[1]*c[1]]^2)/43046721 - 
  (886249984*f[a[1]^4]*f[a[1]*a[3]*b[1]*c[1]]^2)/3486784401 + 
  (33113868800*f[a[1]^6]*f[a[1]*a[3]*b[1]*c[1]]^2)/94143178827 - 
  (2360265728*f[a[2]^2]*f[a[1]*a[3]*b[1]*c[1]]^2)/10460353203 - 
  (34459747328*f[a[1]^2*a[2]^2]*f[a[1]*a[3]*b[1]*c[1]]^2)/282429536481 + 
  (311296*f[a[1]*a[3]]*f[a[1]*a[3]*b[1]*c[1]]^2)/387420489 - 
  (14630912*f[a[1]^3*a[3]]*f[a[1]*a[3]*b[1]*c[1]]^2)/10460353203 + 
  (6799356416*f[a[3]^2]*f[a[1]*a[3]*b[1]*c[1]]^2)/10460353203 - 
  (44089475072*f[a[2]*a[4]]*f[a[1]*a[3]*b[1]*c[1]]^2)/282429536481 - 
  (20234240*f[a[1]*a[5]]*f[a[1]*a[3]*b[1]*c[1]]^2)/31381059609 + 
  (168448*f[b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]]^2)/4782969 + 
  (488960*f[a[1]^2*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]]^2)/14348907 - 
  (46644736*f[a[1]^4*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]]^2)/1162261467 - 
  (124224512*f[a[2]^2*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]]^2)/3486784401 + 
  (16384*f[a[1]*a[3]*b[1]*c[1]]^3)/387420489 + 
  (22528*f[1]*f[a[2]]*f[a[4]*b[1]*c[1]])/177147 + 
  (2050048*f[a[1]^2]*f[a[2]]*f[a[4]*b[1]*c[1]])/4782969 - 
  (21063680*f[a[1]^4]*f[a[2]]*f[a[4]*b[1]*c[1]])/43046721 + 
  (796928000*f[a[1]^6]*f[a[2]]*f[a[4]*b[1]*c[1]])/1162261467 - 
  (720896*f[a[1]]*f[a[1]*a[2]]*f[a[4]*b[1]*c[1]])/4782969 + 
  (38207488*f[a[1]^3]*f[a[1]*a[2]]*f[a[4]*b[1]*c[1]])/43046721 - 
  (1820262400*f[a[1]^5]*f[a[1]*a[2]]*f[a[4]*b[1]*c[1]])/1162261467 - 
  (112640*f[1]*f[a[1]^2*a[2]]*f[a[4]*b[1]*c[1]])/4782969 - 
  (7546880*f[a[1]^2]*f[a[1]^2*a[2]]*f[a[4]*b[1]*c[1]])/14348907 + 
  (2896627712*f[a[1]^4]*f[a[1]^2*a[2]]*f[a[4]*b[1]*c[1]])/1162261467 - 
  (191705958400*f[a[1]^6]*f[a[1]^2*a[2]]*f[a[4]*b[1]*c[1]])/
   31381059609 + (3604480*f[a[1]]*f[a[1]^3*a[2]]*f[a[4]*b[1]*c[1]])/
   43046721 - (2049507328*f[a[1]^3]*f[a[1]^3*a[2]]*f[a[4]*b[1]*c[1]])/
   1162261467 + (278291087360*f[a[1]^5]*f[a[1]^3*a[2]]*
     f[a[4]*b[1]*c[1]])/31381059609 + 
  (563200*f[1]*f[a[1]^4*a[2]]*f[a[4]*b[1]*c[1]])/43046721 + 
  (627968000*f[a[1]^2]*f[a[1]^4*a[2]]*f[a[4]*b[1]*c[1]])/1162261467 - 
  (215241816064*f[a[1]^4]*f[a[1]^4*a[2]]*f[a[4]*b[1]*c[1]])/
   31381059609 + (3604854077440*f[a[1]^6]*f[a[1]^4*a[2]]*
     f[a[4]*b[1]*c[1]])/94143178827 - 
  (45056*f[a[2]]*f[a[2]^2]*f[a[4]*b[1]*c[1]])/177147 - 
  (2973110272*f[a[1]^2*a[2]]*f[a[2]^2]*f[a[4]*b[1]*c[1]])/3486784401 + 
  (30552248320*f[a[1]^4*a[2]]*f[a[2]^2]*f[a[4]*b[1]*c[1]])/
   31381059609 + (866516992*f[a[1]*a[2]]*f[a[1]*a[2]^2]*
     f[a[4]*b[1]*c[1]])/3486784401 - 
  (7043153920*f[a[1]^3*a[2]]*f[a[1]*a[2]^2]*f[a[4]*b[1]*c[1]])/
   3486784401 + (36990976*f[a[2]]*f[a[1]^2*a[2]^2]*f[a[4]*b[1]*c[1]])/
   387420489 + (3852333056*f[a[1]^2*a[2]]*f[a[1]^2*a[2]^2]*
     f[a[4]*b[1]*c[1]])/3486784401 - 
  (5394959798272*f[a[1]^4*a[2]]*f[a[1]^2*a[2]^2]*f[a[4]*b[1]*c[1]])/
   847288609443 + (585728*f[1]*f[a[2]^3]*f[a[4]*b[1]*c[1]])/14348907 + 
  (344453120*f[a[1]^2]*f[a[2]^3]*f[a[4]*b[1]*c[1]])/1162261467 + 
  (2774233088*f[a[1]^4]*f[a[2]^3]*f[a[4]*b[1]*c[1]])/3486784401 - 
  (83830067200*f[a[1]^6]*f[a[2]^3]*f[a[4]*b[1]*c[1]])/31381059609 + 
  (2668126208*f[a[2]^2]*f[a[2]^3]*f[a[4]*b[1]*c[1]])/3486784401 + 
  (241692188672*f[a[1]^2*a[2]^2]*f[a[2]^3]*f[a[4]*b[1]*c[1]])/
   94143178827 - (16580608*f[a[1]*a[2]]*f[a[3]]*f[a[4]*b[1]*c[1]])/
   43046721 + (82903040*f[a[1]^3*a[2]]*f[a[3]]*f[a[4]*b[1]*c[1]])/
   387420489 - (36044800*f[a[2]]*f[a[1]*a[3]]*f[a[4]*b[1]*c[1]])/
   43046721 - (105250816*f[a[1]^2*a[2]]*f[a[1]*a[3]]*
     f[a[4]*b[1]*c[1]])/387420489 + 
  (4058644480*f[a[1]^4*a[2]]*f[a[1]*a[3]]*f[a[4]*b[1]*c[1]])/
   10460353203 - (14417920*f[a[2]^3]*f[a[1]*a[3]]*f[a[4]*b[1]*c[1]])/
   3486784401 - (130482176*f[a[1]*a[2]]*f[a[1]^2*a[3]]*
     f[a[4]*b[1]*c[1]])/129140163 - 
  (1510277120*f[a[1]^3*a[2]]*f[a[1]^2*a[3]]*f[a[4]*b[1]*c[1]])/
   10460353203 + (249430016*f[a[2]]*f[a[1]^3*a[3]]*f[a[4]*b[1]*c[1]])/
   387420489 - (20544094208*f[a[1]^2*a[2]]*f[a[1]^3*a[3]]*
     f[a[4]*b[1]*c[1]])/10460353203 + 
  (160602652672*f[a[1]^4*a[2]]*f[a[1]^3*a[3]]*f[a[4]*b[1]*c[1]])/
   282429536481 - (291241984*f[a[2]^3]*f[a[1]^3*a[3]]*
     f[a[4]*b[1]*c[1]])/94143178827 + 
  (52625408*f[a[1]]*f[a[2]*a[3]]*f[a[4]*b[1]*c[1]])/43046721 - 
  (297730048*f[a[1]^3]*f[a[2]*a[3]]*f[a[4]*b[1]*c[1]])/387420489 + 
  (8308326400*f[a[1]^5]*f[a[2]*a[3]]*f[a[4]*b[1]*c[1]])/10460353203 + 
  (8934785024*f[a[1]*a[2]^2]*f[a[2]*a[3]]*f[a[4]*b[1]*c[1]])/
   10460353203 + (2616131584*f[a[3]]*f[a[2]*a[3]]*f[a[4]*b[1]*c[1]])/
   1162261467 + (22802661376*f[a[1]^2*a[3]]*f[a[2]*a[3]]*
     f[a[4]*b[1]*c[1]])/31381059609 + 
  (720896*f[1]*f[a[1]*a[2]*a[3]]*f[a[4]*b[1]*c[1]])/43046721 + 
  (198246400*f[a[1]^2]*f[a[1]*a[2]*a[3]]*f[a[4]*b[1]*c[1]])/129140163 - 
  (20074790912*f[a[1]^4]*f[a[1]*a[2]*a[3]]*f[a[4]*b[1]*c[1]])/
   10460353203 + (836077158400*f[a[1]^6]*f[a[1]*a[2]*a[3]]*
     f[a[4]*b[1]*c[1]])/282429536481 + 
  (19396427776*f[a[2]^2]*f[a[1]*a[2]*a[3]]*f[a[4]*b[1]*c[1]])/
   10460353203 + (793396510720*f[a[1]^2*a[2]^2]*f[a[1]*a[2]*a[3]]*
     f[a[4]*b[1]*c[1]])/847288609443 + 
  (25525485568*f[a[1]*a[3]]*f[a[1]*a[2]*a[3]]*f[a[4]*b[1]*c[1]])/
   31381059609 + (458132291584*f[a[1]^3*a[3]]*f[a[1]*a[2]*a[3]]*
     f[a[4]*b[1]*c[1]])/282429536481 - 
  (4788844544*f[a[2]]*f[a[3]^2]*f[a[4]*b[1]*c[1]])/1162261467 + 
  (27093096448*f[a[1]^2*a[2]]*f[a[3]^2]*f[a[4]*b[1]*c[1]])/
   31381059609 - (151209850880*f[a[1]^4*a[2]]*f[a[3]^2]*
     f[a[4]*b[1]*c[1]])/282429536481 - 
  (82986348544*f[a[2]^3]*f[a[3]^2]*f[a[4]*b[1]*c[1]])/94143178827 - 
  (190235082752*f[a[1]*a[2]*a[3]]*f[a[3]^2]*f[a[4]*b[1]*c[1]])/
   94143178827 - (8019968*f[1]*f[a[4]]*f[a[4]*b[1]*c[1]])/1594323 + 
  (31449088*f[a[1]^2]*f[a[4]]*f[a[4]*b[1]*c[1]])/43046721 - 
  (113991680*f[a[1]^4]*f[a[4]]*f[a[4]*b[1]*c[1]])/387420489 + 
  (1768448000*f[a[1]^6]*f[a[4]]*f[a[4]*b[1]*c[1]])/10460353203 - 
  (1830535168*f[a[2]^2]*f[a[4]]*f[a[4]*b[1]*c[1]])/3486784401 + 
  (7128399872*f[a[1]^2*a[2]^2]*f[a[4]]*f[a[4]*b[1]*c[1]])/94143178827 + 
  (167247872*f[a[1]*a[3]]*f[a[4]]*f[a[4]*b[1]*c[1]])/387420489 - 
  (1113063424*f[a[1]^3*a[3]]*f[a[4]]*f[a[4]*b[1]*c[1]])/3486784401 - 
  (55149535232*f[a[3]^2]*f[a[4]]*f[a[4]*b[1]*c[1]])/10460353203 - 
  (123994112*f[a[1]]*f[a[1]*a[4]]*f[a[4]*b[1]*c[1]])/43046721 + 
  (481558528*f[a[1]^3]*f[a[1]*a[4]]*f[a[4]*b[1]*c[1]])/387420489 - 
  (8578662400*f[a[1]^5]*f[a[1]*a[4]]*f[a[4]*b[1]*c[1]])/10460353203 - 
  (28276424704*f[a[1]*a[2]^2]*f[a[1]*a[4]]*f[a[4]*b[1]*c[1]])/
   94143178827 - (83623936*f[a[3]]*f[a[1]*a[4]]*f[a[4]*b[1]*c[1]])/
   387420489 + (2061762560*f[a[1]^2*a[3]]*f[a[1]*a[4]]*
     f[a[4]*b[1]*c[1]])/3486784401 + 
  (40099840*f[1]*f[a[1]^2*a[4]]*f[a[4]*b[1]*c[1]])/43046721 - 
  (1328881664*f[a[1]^2]*f[a[1]^2*a[4]]*f[a[4]*b[1]*c[1]])/387420489 + 
  (30005583872*f[a[1]^4]*f[a[1]^2*a[4]]*f[a[4]*b[1]*c[1]])/
   10460353203 - (780489318400*f[a[1]^6]*f[a[1]^2*a[4]]*
     f[a[4]*b[1]*c[1]])/282429536481 - 
  (183516872704*f[a[2]^2]*f[a[1]^2*a[4]]*f[a[4]*b[1]*c[1]])/
   94143178827 - (52450770944*f[a[1]^2*a[2]^2]*f[a[1]^2*a[4]]*
     f[a[4]*b[1]*c[1]])/847288609443 - 
  (1216872448*f[a[1]*a[3]]*f[a[1]^2*a[4]]*f[a[4]*b[1]*c[1]])/
   3486784401 + (118555672576*f[a[1]^3*a[3]]*f[a[1]^2*a[4]]*
     f[a[4]*b[1]*c[1]])/94143178827 + 
  (304122142720*f[a[3]^2]*f[a[1]^2*a[4]]*f[a[4]*b[1]*c[1]])/
   282429536481 + (18454937600*f[a[2]]*f[a[2]*a[4]]*f[a[4]*b[1]*c[1]])/
   3486784401 - (72343355392*f[a[1]^2*a[2]]*f[a[2]*a[4]]*
     f[a[4]*b[1]*c[1]])/94143178827 + 
  (262060113920*f[a[1]^4*a[2]]*f[a[2]*a[4]]*f[a[4]*b[1]*c[1]])/
   847288609443 + (468017217536*f[a[2]^3]*f[a[2]*a[4]]*
     f[a[4]*b[1]*c[1]])/282429536481 - 
  (386077294592*f[a[1]*a[2]*a[3]]*f[a[2]*a[4]]*f[a[4]*b[1]*c[1]])/
   847288609443 - (2952790016*f[a[1]^2*a[4]]*f[a[2]*a[4]]*
     f[a[4]*b[1]*c[1]])/282429536481 + 
  (558694400*f[a[1]*a[2]]*f[a[5]]*f[a[4]*b[1]*c[1]])/3486784401 - 
  (2793472000*f[a[1]^3*a[2]]*f[a[5]]*f[a[4]*b[1]*c[1]])/31381059609 - 
  (8827371520*f[a[2]*a[3]]*f[a[5]]*f[a[4]*b[1]*c[1]])/10460353203 - 
  (10106961920*f[a[1]*a[4]]*f[a[5]]*f[a[4]*b[1]*c[1]])/10460353203 - 
  (2025717760*f[a[2]]*f[a[1]*a[5]]*f[a[4]*b[1]*c[1]])/1162261467 + 
  (46014791680*f[a[1]^2*a[2]]*f[a[1]*a[5]]*f[a[4]*b[1]*c[1]])/
   94143178827 - (308219084800*f[a[1]^4*a[2]]*f[a[1]*a[5]]*
     f[a[4]*b[1]*c[1]])/847288609443 - 
  (62818877440*f[a[2]^3]*f[a[1]*a[5]]*f[a[4]*b[1]*c[1]])/94143178827 - 
  (559818997760*f[a[1]*a[2]*a[3]]*f[a[1]*a[5]]*f[a[4]*b[1]*c[1]])/
   847288609443 + (20213923840*f[a[4]]*f[a[1]*a[5]]*f[a[4]*b[1]*c[1]])/
   10460353203 - (421493473280*f[a[1]^2*a[4]]*f[a[1]*a[5]]*
     f[a[4]*b[1]*c[1]])/282429536481 + 
  (2004992*f[1]*f[a[6]]*f[a[4]*b[1]*c[1]])/14348907 + 
  (44042240*f[a[1]^2]*f[a[6]]*f[a[4]*b[1]*c[1]])/387420489 - 
  (490547200*f[a[1]^4]*f[a[6]]*f[a[4]*b[1]*c[1]])/3486784401 + 
  (19022080000*f[a[1]^6]*f[a[6]]*f[a[4]*b[1]*c[1]])/94143178827 + 
  (29511680*f[a[2]^2]*f[a[6]]*f[a[4]*b[1]*c[1]])/10460353203 + 
  (4069683200*f[a[1]^2*a[2]^2]*f[a[6]]*f[a[4]*b[1]*c[1]])/
   282429536481 - (6071386112*f[a[1]*a[3]]*f[a[6]]*f[a[4]*b[1]*c[1]])/
   10460353203 + (35547381760*f[a[1]^3*a[3]]*f[a[6]]*
     f[a[4]*b[1]*c[1]])/94143178827 + 
  (8245270528*f[a[3]^2]*f[a[6]]*f[a[4]*b[1]*c[1]])/3486784401 + 
  (65699577856*f[a[2]*a[4]]*f[a[6]]*f[a[4]*b[1]*c[1]])/282429536481 + 
  (102518620160*f[a[1]*a[5]]*f[a[6]]*f[a[4]*b[1]*c[1]])/282429536481 + 
  (38912*f[a[2]]*f[b[1]*c[1]]*f[a[4]*b[1]*c[1]])/1594323 - 
  (194560*f[a[1]^2*a[2]]*f[b[1]*c[1]]*f[a[4]*b[1]*c[1]])/43046721 + 
  (972800*f[a[1]^4*a[2]]*f[b[1]*c[1]]*f[a[4]*b[1]*c[1]])/387420489 + 
  (1011712*f[a[2]^3]*f[b[1]*c[1]]*f[a[4]*b[1]*c[1]])/129140163 + 
  (1245184*f[a[1]*a[2]*a[3]]*f[b[1]*c[1]]*f[a[4]*b[1]*c[1]])/
   387420489 - (13852672*f[a[4]]*f[b[1]*c[1]]*f[a[4]*b[1]*c[1]])/
   14348907 + (69263360*f[a[1]^2*a[4]]*f[b[1]*c[1]]*f[a[4]*b[1]*c[1]])/
   387420489 + (3463168*f[a[6]]*f[b[1]*c[1]]*f[a[4]*b[1]*c[1]])/
   129140163 - (1245184*f[a[1]*a[2]]*f[a[1]*b[1]*c[1]]*
     f[a[4]*b[1]*c[1]])/43046721 + 
  (6225920*f[a[1]^3*a[2]]*f[a[1]*b[1]*c[1]]*f[a[4]*b[1]*c[1]])/
   387420489 + (90898432*f[a[2]*a[3]]*f[a[1]*b[1]*c[1]]*
     f[a[4]*b[1]*c[1]])/387420489 - 
  (214171648*f[a[1]*a[4]]*f[a[1]*b[1]*c[1]]*f[a[4]*b[1]*c[1]])/
   387420489 + (3540992*f[a[2]]*f[a[1]^2*b[1]*c[1]]*f[a[4]*b[1]*c[1]])/
   43046721 - (13035520*f[a[1]^2*a[2]]*f[a[1]^2*b[1]*c[1]]*
     f[a[4]*b[1]*c[1]])/129140163 + 
  (1084672000*f[a[1]^4*a[2]]*f[a[1]^2*b[1]*c[1]]*f[a[4]*b[1]*c[1]])/
   10460353203 + (594964480*f[a[2]^3]*f[a[1]^2*b[1]*c[1]]*
     f[a[4]*b[1]*c[1]])/10460353203 + 
  (342425600*f[a[1]*a[2]*a[3]]*f[a[1]^2*b[1]*c[1]]*f[a[4]*b[1]*c[1]])/
   1162261467 + (54321152*f[a[4]]*f[a[1]^2*b[1]*c[1]]*
     f[a[4]*b[1]*c[1]])/387420489 - 
  (2295341056*f[a[1]^2*a[4]]*f[a[1]^2*b[1]*c[1]]*f[a[4]*b[1]*c[1]])/
   3486784401 + (76072960*f[a[6]]*f[a[1]^2*b[1]*c[1]]*
     f[a[4]*b[1]*c[1]])/3486784401 + 
  (65994752*f[a[1]*a[2]]*f[a[1]^3*b[1]*c[1]]*f[a[4]*b[1]*c[1]])/
   387420489 - (3540058112*f[a[1]^3*a[2]]*f[a[1]^3*b[1]*c[1]]*
     f[a[4]*b[1]*c[1]])/10460353203 - 
  (514260992*f[a[2]*a[3]]*f[a[1]^3*b[1]*c[1]]*f[a[4]*b[1]*c[1]])/
   3486784401 + (831782912*f[a[1]*a[4]]*f[a[1]^3*b[1]*c[1]]*
     f[a[4]*b[1]*c[1]])/3486784401 - 
  (36382720*f[a[2]]*f[a[1]^4*b[1]*c[1]]*f[a[4]*b[1]*c[1]])/387420489 + 
  (5003266048*f[a[1]^2*a[2]]*f[a[1]^4*b[1]*c[1]]*f[a[4]*b[1]*c[1]])/
   10460353203 - (371781318656*f[a[1]^4*a[2]]*f[a[1]^4*b[1]*c[1]]*
     f[a[4]*b[1]*c[1]])/282429536481 + 
  (4791857152*f[a[2]^3]*f[a[1]^4*b[1]*c[1]]*f[a[4]*b[1]*c[1]])/
   31381059609 - (34674638848*f[a[1]*a[2]*a[3]]*f[a[1]^4*b[1]*c[1]]*
     f[a[4]*b[1]*c[1]])/94143178827 - 
  (196894720*f[a[4]]*f[a[1]^4*b[1]*c[1]]*f[a[4]*b[1]*c[1]])/
   3486784401 + (51827826688*f[a[1]^2*a[4]]*f[a[1]^4*b[1]*c[1]]*
     f[a[4]*b[1]*c[1]])/94143178827 - 
  (847308800*f[a[6]]*f[a[1]^4*b[1]*c[1]]*f[a[4]*b[1]*c[1]])/
   31381059609 + (38912*f[1]*f[a[2]*b[1]*c[1]]*f[a[4]*b[1]*c[1]])/
   1594323 + (3540992*f[a[1]^2]*f[a[2]*b[1]*c[1]]*f[a[4]*b[1]*c[1]])/
   43046721 - (36382720*f[a[1]^4]*f[a[2]*b[1]*c[1]]*f[a[4]*b[1]*c[1]])/
   387420489 + (1376512000*f[a[1]^6]*f[a[2]*b[1]*c[1]]*
     f[a[4]*b[1]*c[1]])/10460353203 - 
  (77824*f[a[2]^2]*f[a[2]*b[1]*c[1]]*f[a[4]*b[1]*c[1]])/1594323 + 
  (63893504*f[a[1]^2*a[2]^2]*f[a[2]*b[1]*c[1]]*f[a[4]*b[1]*c[1]])/
   3486784401 - (62259200*f[a[1]*a[3]]*f[a[2]*b[1]*c[1]]*
     f[a[4]*b[1]*c[1]])/387420489 + 
  (430833664*f[a[1]^3*a[3]]*f[a[2]*b[1]*c[1]]*f[a[4]*b[1]*c[1]])/
   3486784401 - (8271640576*f[a[3]^2]*f[a[2]*b[1]*c[1]]*
     f[a[4]*b[1]*c[1]])/10460353203 + 
  (31876710400*f[a[2]*a[4]]*f[a[2]*b[1]*c[1]]*f[a[4]*b[1]*c[1]])/
   31381059609 - (3498967040*f[a[1]*a[5]]*f[a[2]*b[1]*c[1]]*
     f[a[4]*b[1]*c[1]])/10460353203 + 
  (2048*f[b[1]*c[1]]*f[a[2]*b[1]*c[1]]*f[a[4]*b[1]*c[1]])/531441 + 
  (186368*f[a[1]^2*b[1]*c[1]]*f[a[2]*b[1]*c[1]]*f[a[4]*b[1]*c[1]])/
   14348907 - (1914880*f[a[1]^4*b[1]*c[1]]*f[a[2]*b[1]*c[1]]*
     f[a[4]*b[1]*c[1]])/129140163 - 
  (1245184*f[a[1]]*f[a[1]*a[2]*b[1]*c[1]]*f[a[4]*b[1]*c[1]])/43046721 + 
  (65994752*f[a[1]^3]*f[a[1]*a[2]*b[1]*c[1]]*f[a[4]*b[1]*c[1]])/
   387420489 - (3144089600*f[a[1]^5]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[4]*b[1]*c[1]])/10460353203 + 
  (1496711168*f[a[1]*a[2]^2]*f[a[1]*a[2]*b[1]*c[1]]*f[a[4]*b[1]*c[1]])/
   31381059609 - (28639232*f[a[3]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[4]*b[1]*c[1]])/387420489 - 
  (225378304*f[a[1]^2*a[3]]*f[a[1]*a[2]*b[1]*c[1]]*f[a[4]*b[1]*c[1]])/
   1162261467 + (965017600*f[a[5]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[4]*b[1]*c[1]])/31381059609 - 
  (65536*f[a[1]*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[1]]*f[a[4]*b[1]*c[1]])/
   14348907 + (3473408*f[a[1]^3*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[4]*b[1]*c[1]])/129140163 - 
  (194560*f[1]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[4]*b[1]*c[1]])/43046721 - 
  (13035520*f[a[1]^2]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[4]*b[1]*c[1]])/
   129140163 + (5003266048*f[a[1]^4]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[4]*b[1]*c[1]])/10460353203 - 
  (331128473600*f[a[1]^6]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[4]*b[1]*c[1]])/
   282429536481 - (5135372288*f[a[2]^2]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[4]*b[1]*c[1]])/31381059609 + 
  (6654029824*f[a[1]^2*a[2]^2]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[4]*b[1]*c[1]])/31381059609 - 
  (181796864*f[a[1]*a[3]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[4]*b[1]*c[1]])/
   3486784401 - (35485253632*f[a[1]^3*a[3]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[4]*b[1]*c[1]])/94143178827 + 
  (46797166592*f[a[3]^2]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[4]*b[1]*c[1]])/
   282429536481 - (124956704768*f[a[2]*a[4]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[4]*b[1]*c[1]])/847288609443 + 
  (79480094720*f[a[1]*a[5]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[4]*b[1]*c[1]])/847288609443 - 
  (10240*f[b[1]*c[1]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[4]*b[1]*c[1]])/
   14348907 - (686080*f[a[1]^2*b[1]*c[1]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[4]*b[1]*c[1]])/43046721 + 
  (263329792*f[a[1]^4*b[1]*c[1]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[4]*b[1]*c[1]])/3486784401 - 
  (77824*f[a[2]]*f[a[2]^2*b[1]*c[1]]*f[a[4]*b[1]*c[1]])/1594323 - 
  (5135372288*f[a[1]^2*a[2]]*f[a[2]^2*b[1]*c[1]]*f[a[4]*b[1]*c[1]])/
   31381059609 + (52772065280*f[a[1]^4*a[2]]*f[a[2]^2*b[1]*c[1]]*
     f[a[4]*b[1]*c[1]])/282429536481 + 
  (4608581632*f[a[2]^3]*f[a[2]^2*b[1]*c[1]]*f[a[4]*b[1]*c[1]])/
   31381059609 + (33502920704*f[a[1]*a[2]*a[3]]*f[a[2]^2*b[1]*c[1]]*
     f[a[4]*b[1]*c[1]])/94143178827 - 
  (3161833472*f[a[4]]*f[a[2]^2*b[1]*c[1]]*f[a[4]*b[1]*c[1]])/
   31381059609 - (316983689216*f[a[1]^2*a[4]]*f[a[2]^2*b[1]*c[1]]*
     f[a[4]*b[1]*c[1]])/847288609443 + 
  (50974720*f[a[6]]*f[a[2]^2*b[1]*c[1]]*f[a[4]*b[1]*c[1]])/
   94143178827 - (4096*f[a[2]*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]]*
     f[a[4]*b[1]*c[1]])/531441 - 
  (270282752*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]]*
     f[a[4]*b[1]*c[1]])/10460353203 - 
  (28639232*f[a[1]*a[2]]*f[a[3]*b[1]*c[1]]*f[a[4]*b[1]*c[1]])/
   387420489 + (143196160*f[a[1]^3*a[2]]*f[a[3]*b[1]*c[1]]*
     f[a[4]*b[1]*c[1]])/3486784401 + 
  (4518772736*f[a[2]*a[3]]*f[a[3]*b[1]*c[1]]*f[a[4]*b[1]*c[1]])/
   10460353203 - (144441344*f[a[1]*a[4]]*f[a[3]*b[1]*c[1]]*
     f[a[4]*b[1]*c[1]])/3486784401 - 
  (1507328*f[a[1]*a[2]*b[1]*c[1]]*f[a[3]*b[1]*c[1]]*f[a[4]*b[1]*c[1]])/
   129140163 - (62259200*f[a[2]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[4]*b[1]*c[1]])/387420489 - 
  (181796864*f[a[1]^2*a[2]]*f[a[1]*a[3]*b[1]*c[1]]*f[a[4]*b[1]*c[1]])/
   3486784401 + (7010385920*f[a[1]^4*a[2]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[4]*b[1]*c[1]])/94143178827 - 
  (24903680*f[a[2]^3]*f[a[1]*a[3]*b[1]*c[1]]*f[a[4]*b[1]*c[1]])/
   31381059609 + (44089475072*f[a[1]*a[2]*a[3]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[4]*b[1]*c[1]])/282429536481 + 
  (288882688*f[a[4]]*f[a[1]*a[3]*b[1]*c[1]]*f[a[4]*b[1]*c[1]])/
   3486784401 - (2101870592*f[a[1]^2*a[4]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[4]*b[1]*c[1]])/31381059609 - 
  (10486939648*f[a[6]]*f[a[1]*a[3]*b[1]*c[1]]*f[a[4]*b[1]*c[1]])/
   94143178827 - (3276800*f[a[2]*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[4]*b[1]*c[1]])/129140163 - 
  (9568256*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[4]*b[1]*c[1]])/1162261467 - 
  (6926336*f[1]*f[a[4]*b[1]*c[1]]^2)/14348907 + 
  (27160576*f[a[1]^2]*f[a[4]*b[1]*c[1]]^2)/387420489 - 
  (98447360*f[a[1]^4]*f[a[4]*b[1]*c[1]]^2)/3486784401 + 
  (1527296000*f[a[1]^6]*f[a[4]*b[1]*c[1]]^2)/94143178827 - 
  (1580916736*f[a[2]^2]*f[a[4]*b[1]*c[1]]^2)/31381059609 + 
  (6156345344*f[a[1]^2*a[2]^2]*f[a[4]*b[1]*c[1]]^2)/847288609443 + 
  (144441344*f[a[1]*a[3]]*f[a[4]*b[1]*c[1]]^2)/3486784401 - 
  (961282048*f[a[1]^3*a[3]]*f[a[4]*b[1]*c[1]]^2)/31381059609 - 
  (47629144064*f[a[3]^2]*f[a[4]*b[1]*c[1]]^2)/94143178827 + 
  (17457479680*f[a[1]*a[5]]*f[a[4]*b[1]*c[1]]^2)/94143178827 - 
  (364544*f[b[1]*c[1]]*f[a[4]*b[1]*c[1]]^2)/4782969 + 
  (1429504*f[a[1]^2*b[1]*c[1]]*f[a[4]*b[1]*c[1]]^2)/129140163 - 
  (5181440*f[a[1]^4*b[1]*c[1]]*f[a[4]*b[1]*c[1]]^2)/1162261467 - 
  (83206144*f[a[2]^2*b[1]*c[1]]*f[a[4]*b[1]*c[1]]^2)/10460353203 + 
  (7602176*f[a[1]*a[3]*b[1]*c[1]]*f[a[4]*b[1]*c[1]]^2)/1162261467 + 
  (81920*f[a[2]]*f[a[1]*b[1]*c[1]]*f[b[2]*c[1]])/177147 - 
  (409600*f[a[1]^2*a[2]]*f[a[1]*b[1]*c[1]]*f[b[2]*c[1]])/4782969 + 
  (2048000*f[a[1]^4*a[2]]*f[a[1]*b[1]*c[1]]*f[b[2]*c[1]])/43046721 + 
  (2129920*f[a[2]^3]*f[a[1]*b[1]*c[1]]*f[b[2]*c[1]])/14348907 + 
  (2621440*f[a[1]*a[2]*a[3]]*f[a[1]*b[1]*c[1]]*f[b[2]*c[1]])/43046721 - 
  (327680*f[a[4]]*f[a[1]*b[1]*c[1]]*f[b[2]*c[1]])/1594323 + 
  (1638400*f[a[1]^2*a[4]]*f[a[1]*b[1]*c[1]]*f[b[2]*c[1]])/43046721 + 
  (2048000*f[a[6]]*f[a[1]*b[1]*c[1]]*f[b[2]*c[1]])/14348907 + 
  (2621440*f[a[1]*a[2]]*f[a[1]^2*b[1]*c[1]]*f[b[2]*c[1]])/4782969 - 
  (13107200*f[a[1]^3*a[2]]*f[a[1]^2*b[1]*c[1]]*f[b[2]*c[1]])/43046721 - 
  (2621440*f[a[2]*a[3]]*f[a[1]^2*b[1]*c[1]]*f[b[2]*c[1]])/43046721 - 
  (10485760*f[a[1]*a[4]]*f[a[1]^2*b[1]*c[1]]*f[b[2]*c[1]])/43046721 - 
  (409600*f[a[2]]*f[a[1]^3*b[1]*c[1]]*f[b[2]*c[1]])/1594323 + 
  (14663680*f[a[1]^2*a[2]]*f[a[1]^3*b[1]*c[1]]*f[b[2]*c[1]])/14348907 - 
  (429670400*f[a[1]^4*a[2]]*f[a[1]^3*b[1]*c[1]]*f[b[2]*c[1]])/
   387420489 + (575242240*f[a[2]^3]*f[a[1]^3*b[1]*c[1]]*f[b[2]*c[1]])/
   1162261467 - (18350080*f[a[1]*a[2]*a[3]]*f[a[1]^3*b[1]*c[1]]*
     f[b[2]*c[1]])/129140163 + 
  (1638400*f[a[4]]*f[a[1]^3*b[1]*c[1]]*f[b[2]*c[1]])/14348907 - 
  (58654720*f[a[1]^2*a[4]]*f[a[1]^3*b[1]*c[1]]*f[b[2]*c[1]])/
   129140163 - (10240000*f[a[6]]*f[a[1]^3*b[1]*c[1]]*f[b[2]*c[1]])/
   129140163 - (26214400*f[a[1]*a[2]]*f[a[1]^4*b[1]*c[1]]*
     f[b[2]*c[1]])/43046721 + 
  (3077570560*f[a[1]^3*a[2]]*f[a[1]^4*b[1]*c[1]]*f[b[2]*c[1]])/
   1162261467 + (26214400*f[a[2]*a[3]]*f[a[1]^4*b[1]*c[1]]*
     f[b[2]*c[1]])/387420489 + 
  (104857600*f[a[1]*a[4]]*f[a[1]^4*b[1]*c[1]]*f[b[2]*c[1]])/387420489 - 
  (81920*f[a[1]]*f[a[2]*b[1]*c[1]]*f[b[2]*c[1]])/177147 + 
  (409600*f[a[1]^3]*f[a[2]*b[1]*c[1]]*f[b[2]*c[1]])/1594323 - 
  (10240000*f[a[1]^5]*f[a[2]*b[1]*c[1]]*f[b[2]*c[1]])/43046721 - 
  (2129920*f[a[1]*a[2]^2]*f[a[2]*b[1]*c[1]]*f[b[2]*c[1]])/43046721 - 
  (409600*f[a[3]]*f[a[2]*b[1]*c[1]]*f[b[2]*c[1]])/531441 + 
  (901120*f[a[1]^2*a[3]]*f[a[2]*b[1]*c[1]]*f[b[2]*c[1]])/43046721 + 
  (4505600*f[a[5]]*f[a[2]*b[1]*c[1]]*f[b[2]*c[1]])/14348907 - 
  (2621440*f[a[1]^2]*f[a[1]*a[2]*b[1]*c[1]]*f[b[2]*c[1]])/4782969 + 
  (26214400*f[a[1]^4]*f[a[1]*a[2]*b[1]*c[1]]*f[b[2]*c[1]])/43046721 - 
  (327680000*f[a[1]^6]*f[a[1]*a[2]*b[1]*c[1]]*f[b[2]*c[1]])/387420489 - 
  (41943040*f[a[2]^2]*f[a[1]*a[2]*b[1]*c[1]]*f[b[2]*c[1]])/43046721 + 
  (5242880*f[a[1]^2*a[2]^2]*f[a[1]*a[2]*b[1]*c[1]]*f[b[2]*c[1]])/
   43046721 - (18350080*f[a[1]*a[3]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[b[2]*c[1]])/43046721 + 
  (2621440*f[a[1]^3*a[3]]*f[a[1]*a[2]*b[1]*c[1]]*f[b[2]*c[1]])/
   129140163 + (13107200*f[a[3]^2]*f[a[1]*a[2]*b[1]*c[1]]*
     f[b[2]*c[1]])/129140163 + 
  (838860800*f[a[2]*a[4]]*f[a[1]*a[2]*b[1]*c[1]]*f[b[2]*c[1]])/
   3486784401 + (563609600*f[a[1]*a[5]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[b[2]*c[1]])/3486784401 + 
  (409600*f[a[1]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[2]*c[1]])/4782969 - 
  (14663680*f[a[1]^3]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[2]*c[1]])/14348907 + 
  (2148352000*f[a[1]^5]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[2]*c[1]])/
   1162261467 - (4665671680*f[a[1]*a[2]^2]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[b[2]*c[1]])/3486784401 + 
  (2048000*f[a[3]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[2]*c[1]])/14348907 - 
  (183255040*f[a[1]^2*a[3]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[2]*c[1]])/
   387420489 - (22528000*f[a[5]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[b[2]*c[1]])/387420489 + 
  (41943040*f[a[1]*a[2]]*f[a[2]^2*b[1]*c[1]]*f[b[2]*c[1]])/43046721 - 
  (209715200*f[a[1]^3*a[2]]*f[a[2]^2*b[1]*c[1]]*f[b[2]*c[1]])/
   387420489 + (209715200*f[a[2]*a[3]]*f[a[2]^2*b[1]*c[1]]*
     f[b[2]*c[1]])/129140163 - 
  (167772160*f[a[1]*a[4]]*f[a[2]^2*b[1]*c[1]]*f[b[2]*c[1]])/
   3486784401 + (409600*f[a[2]]*f[a[3]*b[1]*c[1]]*f[b[2]*c[1]])/
   531441 - (2048000*f[a[1]^2*a[2]]*f[a[3]*b[1]*c[1]]*f[b[2]*c[1]])/
   14348907 + (10240000*f[a[1]^4*a[2]]*f[a[3]*b[1]*c[1]]*f[b[2]*c[1]])/
   129140163 + (10649600*f[a[2]^3]*f[a[3]*b[1]*c[1]]*f[b[2]*c[1]])/
   43046721 + (13107200*f[a[1]*a[2]*a[3]]*f[a[3]*b[1]*c[1]]*
     f[b[2]*c[1]])/129140163 + 
  (16056320*f[a[4]]*f[a[3]*b[1]*c[1]]*f[b[2]*c[1]])/14348907 - 
  (80281600*f[a[1]^2*a[4]]*f[a[3]*b[1]*c[1]]*f[b[2]*c[1]])/387420489 - 
  (520437760*f[a[6]]*f[a[3]*b[1]*c[1]]*f[b[2]*c[1]])/1162261467 + 
  (18350080*f[a[1]*a[2]]*f[a[1]*a[3]*b[1]*c[1]]*f[b[2]*c[1]])/
   43046721 - (91750400*f[a[1]^3*a[2]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[b[2]*c[1]])/387420489 + 
  (783810560*f[a[2]*a[3]]*f[a[1]*a[3]*b[1]*c[1]]*f[b[2]*c[1]])/
   1162261467 + (262144000*f[a[1]*a[4]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[b[2]*c[1]])/387420489 + 
  (327680*f[a[1]]*f[a[4]*b[1]*c[1]]*f[b[2]*c[1]])/1594323 - 
  (1638400*f[a[1]^3]*f[a[4]*b[1]*c[1]]*f[b[2]*c[1]])/14348907 + 
  (40960000*f[a[1]^5]*f[a[4]*b[1]*c[1]]*f[b[2]*c[1]])/387420489 + 
  (8519680*f[a[1]*a[2]^2]*f[a[4]*b[1]*c[1]]*f[b[2]*c[1]])/387420489 - 
  (16056320*f[a[3]]*f[a[4]*b[1]*c[1]]*f[b[2]*c[1]])/14348907 + 
  (33751040*f[a[1]^2*a[3]]*f[a[4]*b[1]*c[1]]*f[b[2]*c[1]])/129140163 - 
  (4995481600*f[a[5]]*f[a[4]*b[1]*c[1]]*f[b[2]*c[1]])/3486784401 + 
  (6400*f[1]*f[b[2]*c[1]]^2)/6561 - 
  (32000*f[a[1]^2]*f[b[2]*c[1]]^2)/177147 + 
  (160000*f[a[1]^4]*f[b[2]*c[1]]^2)/1594323 - 
  (4000000*f[a[1]^6]*f[b[2]*c[1]]^2)/43046721 + 
  (166400*f[a[2]^2]*f[b[2]*c[1]]^2)/1594323 - 
  (832000*f[a[1]^2*a[2]^2]*f[b[2]*c[1]]^2)/43046721 + 
  (204800*f[a[1]*a[3]]*f[b[2]*c[1]]^2)/1594323 - 
  (1024000*f[a[1]^3*a[3]]*f[b[2]*c[1]]^2)/14348907 - 
  (5715200*f[a[3]^2]*f[b[2]*c[1]]^2)/43046721 - 
  (13107200*f[a[2]*a[4]]*f[b[2]*c[1]]^2)/129140163 - 
  (13312000*f[a[1]*a[5]]*f[b[2]*c[1]]^2)/129140163 + 
  (6400*f[b[1]*c[1]]*f[b[2]*c[1]]^2)/6561 - 
  (32000*f[a[1]^2*b[1]*c[1]]*f[b[2]*c[1]]^2)/177147 + 
  (160000*f[a[1]^4*b[1]*c[1]]*f[b[2]*c[1]]^2)/1594323 + 
  (166400*f[a[2]^2*b[1]*c[1]]*f[b[2]*c[1]]^2)/1594323 + 
  (204800*f[a[1]*a[3]*b[1]*c[1]]*f[b[2]*c[1]]^2)/1594323 - 
  (81920*f[a[2]]*f[b[1]*c[1]]*f[a[1]*b[2]*c[1]])/177147 + 
  (409600*f[a[1]^2*a[2]]*f[b[1]*c[1]]*f[a[1]*b[2]*c[1]])/4782969 - 
  (2048000*f[a[1]^4*a[2]]*f[b[1]*c[1]]*f[a[1]*b[2]*c[1]])/43046721 - 
  (2129920*f[a[2]^3]*f[b[1]*c[1]]*f[a[1]*b[2]*c[1]])/14348907 - 
  (2621440*f[a[1]*a[2]*a[3]]*f[b[1]*c[1]]*f[a[1]*b[2]*c[1]])/43046721 + 
  (327680*f[a[4]]*f[b[1]*c[1]]*f[a[1]*b[2]*c[1]])/1594323 - 
  (1638400*f[a[1]^2*a[4]]*f[b[1]*c[1]]*f[a[1]*b[2]*c[1]])/43046721 - 
  (2048000*f[a[6]]*f[b[1]*c[1]]*f[a[1]*b[2]*c[1]])/14348907 + 
  (3031040*f[a[2]]*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[2]*c[1]])/4782969 + 
  (8929280*f[a[1]^2*a[2]]*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[2]*c[1]])/
   43046721 - (343654400*f[a[1]^4*a[2]]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]*b[2]*c[1]])/1162261467 - 
  (434667520*f[a[2]^3]*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[2]*c[1]])/
   1162261467 + (18350080*f[a[1]*a[2]*a[3]]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]*b[2]*c[1]])/387420489 - 
  (12124160*f[a[4]]*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[2]*c[1]])/43046721 - 
  (35717120*f[a[1]^2*a[4]]*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[2]*c[1]])/
   387420489 + (75776000*f[a[6]]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]*b[2]*c[1]])/387420489 + 
  (41943040*f[a[1]*a[2]]*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[2]*c[1]])/
   43046721 + (713031680*f[a[1]^3*a[2]]*f[a[1]^3*b[1]*c[1]]*
     f[a[1]*b[2]*c[1]])/1162261467 - 
  (41943040*f[a[2]*a[3]]*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[2]*c[1]])/
   387420489 - (167772160*f[a[1]*a[4]]*f[a[1]^3*b[1]*c[1]]*
     f[a[1]*b[2]*c[1]])/387420489 - 
  (9420800*f[a[2]]*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[2]*c[1]])/14348907 + 
  (802078720*f[a[1]^2*a[2]]*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[2]*c[1]])/
   387420489 + (19593871360*f[a[1]^4*a[2]]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]*b[2]*c[1]])/10460353203 + 
  (56468930560*f[a[2]^3]*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[2]*c[1]])/
   31381059609 - (1056440320*f[a[1]*a[2]*a[3]]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]*b[2]*c[1]])/3486784401 + 
  (37683200*f[a[4]]*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[2]*c[1]])/129140163 - 
  (3208314880*f[a[1]^2*a[4]]*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[2]*c[1]])/
   3486784401 - (235520000*f[a[6]]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]*b[2]*c[1]])/1162261467 + 
  (81920*f[1]*f[a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[1]])/177147 - 
  (3031040*f[a[1]^2]*f[a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[1]])/4782969 + 
  (9420800*f[a[1]^4]*f[a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[1]])/14348907 - 
  (1034240000*f[a[1]^6]*f[a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[1]])/
   1162261467 + (44072960*f[a[2]^2]*f[a[2]*b[1]*c[1]]*
     f[a[1]*b[2]*c[1]])/43046721 - 
  (96174080*f[a[1]^2*a[2]^2]*f[a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[1]])/
   387420489 - (5242880*f[a[1]*a[3]]*f[a[2]*b[1]*c[1]]*
     f[a[1]*b[2]*c[1]])/14348907 - 
  (5242880*f[a[1]^3*a[3]]*f[a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[1]])/
   387420489 + (44810240*f[a[3]^2]*f[a[2]*b[1]*c[1]]*
     f[a[1]*b[2]*c[1]])/1162261467 - 
  (335544320*f[a[2]*a[4]]*f[a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[1]])/
   1162261467 + (131072000*f[a[1]*a[5]]*f[a[2]*b[1]*c[1]]*
     f[a[1]*b[2]*c[1]])/1162261467 - 
  (41943040*f[a[1]^3]*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[1]])/
   43046721 + (2097152000*f[a[1]^5]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[1]*b[2]*c[1]])/1162261467 + 
  (671088640*f[a[1]*a[2]^2]*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[1]])/
   3486784401 - (20971520*f[a[3]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[1]*b[2]*c[1]])/43046721 - 
  (146800640*f[a[1]^2*a[3]]*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[1]])/
   387420489 + (734003200*f[a[5]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[1]*b[2]*c[1]])/3486784401 - 
  (409600*f[1]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[1]])/4782969 - 
  (8929280*f[a[1]^2]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[1]])/
   43046721 - (802078720*f[a[1]^4]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*b[2]*c[1]])/387420489 + 
  (190769152000*f[a[1]^6]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[1]])/
   31381059609 - (4016537600*f[a[2]^2]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*b[2]*c[1]])/3486784401 - 
  (2790686720*f[a[1]^2*a[2]^2]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*b[2]*c[1]])/10460353203 - 
  (183500800*f[a[1]*a[3]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[1]])/
   387420489 - (6223298560*f[a[1]^3*a[3]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*b[2]*c[1]])/10460353203 + 
  (3676651520*f[a[3]^2]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[1]])/
   31381059609 + (23823646720*f[a[2]*a[4]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*b[2]*c[1]])/94143178827 + 
  (6265241600*f[a[1]*a[5]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[1]])/
   31381059609 - (44072960*f[a[2]]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]*b[2]*c[1]])/43046721 + 
  (4016537600*f[a[1]^2*a[2]]*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[2]*c[1]])/
   3486784401 - (36859904000*f[a[1]^4*a[2]]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]*b[2]*c[1]])/31381059609 - 
  (11883315200*f[a[2]^3]*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[2]*c[1]])/
   3486784401 + (4629463040*f[a[1]*a[2]*a[3]]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]*b[2]*c[1]])/10460353203 + 
  (244449280*f[a[4]]*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[2]*c[1]])/
   3486784401 + (1462108160*f[a[1]^2*a[4]]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]*b[2]*c[1]])/94143178827 - 
  (621117440*f[a[6]]*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[2]*c[1]])/
   10460353203 + (20971520*f[a[1]*a[2]]*f[a[3]*b[1]*c[1]]*
     f[a[1]*b[2]*c[1]])/43046721 - 
  (104857600*f[a[1]^3*a[2]]*f[a[3]*b[1]*c[1]]*f[a[1]*b[2]*c[1]])/
   387420489 - (901775360*f[a[2]*a[3]]*f[a[3]*b[1]*c[1]]*
     f[a[1]*b[2]*c[1]])/1162261467 + 
  (83886080*f[a[1]*a[4]]*f[a[3]*b[1]*c[1]]*f[a[1]*b[2]*c[1]])/
   129140163 + (5242880*f[a[2]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]*b[2]*c[1]])/14348907 + 
  (183500800*f[a[1]^2*a[2]]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*b[2]*c[1]])/
   387420489 - (655360000*f[a[1]^4*a[2]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]*b[2]*c[1]])/1162261467 - 
  (2946498560*f[a[2]^3]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*b[2]*c[1]])/
   3486784401 - (41943040*f[a[1]*a[2]*a[3]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]*b[2]*c[1]])/3486784401 + 
  (272629760*f[a[4]]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*b[2]*c[1]])/
   387420489 + (2285895680*f[a[1]^2*a[4]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]*b[2]*c[1]])/3486784401 - 
  (9211740160*f[a[6]]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*b[2]*c[1]])/
   31381059609 - (327680*f[1]*f[a[4]*b[1]*c[1]]*f[a[1]*b[2]*c[1]])/
   1594323 + (12124160*f[a[1]^2]*f[a[4]*b[1]*c[1]]*f[a[1]*b[2]*c[1]])/
   43046721 - (37683200*f[a[1]^4]*f[a[4]*b[1]*c[1]]*f[a[1]*b[2]*c[1]])/
   129140163 + (4136960000*f[a[1]^6]*f[a[4]*b[1]*c[1]]*
     f[a[1]*b[2]*c[1]])/10460353203 - 
  (244449280*f[a[2]^2]*f[a[4]*b[1]*c[1]]*f[a[1]*b[2]*c[1]])/
   3486784401 + (3675914240*f[a[1]^2*a[2]^2]*f[a[4]*b[1]*c[1]]*
     f[a[1]*b[2]*c[1]])/94143178827 - 
  (272629760*f[a[1]*a[3]]*f[a[4]*b[1]*c[1]]*f[a[1]*b[2]*c[1]])/
   387420489 + (20971520*f[a[1]^3*a[3]]*f[a[4]*b[1]*c[1]]*
     f[a[1]*b[2]*c[1]])/43046721 + 
  (1834024960*f[a[3]^2]*f[a[4]*b[1]*c[1]]*f[a[1]*b[2]*c[1]])/
   10460353203 + (30870077440*f[a[2]*a[4]]*f[a[4]*b[1]*c[1]]*
     f[a[1]*b[2]*c[1]])/31381059609 - 
  (76860620800*f[a[1]*a[5]]*f[a[4]*b[1]*c[1]]*f[a[1]*b[2]*c[1]])/
   94143178827 + (204800*f[a[1]]*f[b[2]*c[1]]*f[a[1]*b[2]*c[1]])/
   177147 - (1024000*f[a[1]^3]*f[b[2]*c[1]]*f[a[1]*b[2]*c[1]])/
   1594323 + (25600000*f[a[1]^5]*f[b[2]*c[1]]*f[a[1]*b[2]*c[1]])/
   43046721 + (5324800*f[a[1]*a[2]^2]*f[b[2]*c[1]]*f[a[1]*b[2]*c[1]])/
   43046721 - (204800*f[a[3]]*f[b[2]*c[1]]*f[a[1]*b[2]*c[1]])/1594323 + 
  (4710400*f[a[1]^2*a[3]]*f[b[2]*c[1]]*f[a[1]*b[2]*c[1]])/14348907 + 
  (13312000*f[a[5]]*f[b[2]*c[1]]*f[a[1]*b[2]*c[1]])/129140163 + 
  (204800*f[a[1]*b[1]*c[1]]*f[b[2]*c[1]]*f[a[1]*b[2]*c[1]])/177147 - 
  (1024000*f[a[1]^3*b[1]*c[1]]*f[b[2]*c[1]]*f[a[1]*b[2]*c[1]])/
   1594323 - (204800*f[a[3]*b[1]*c[1]]*f[b[2]*c[1]]*f[a[1]*b[2]*c[1]])/
   1594323 + (102400*f[1]*f[a[1]*b[2]*c[1]]^2)/177147 + 
  (102400*f[a[1]^2]*f[a[1]*b[2]*c[1]]^2)/177147 - 
  (30208000*f[a[1]^4]*f[a[1]*b[2]*c[1]]^2)/43046721 + 
  (1164800000*f[a[1]^6]*f[a[1]*b[2]*c[1]]^2)/1162261467 - 
  (44441600*f[a[2]^2]*f[a[1]*b[2]*c[1]]^2)/129140163 + 
  (477798400*f[a[1]^2*a[2]^2]*f[a[1]*b[2]*c[1]]^2)/3486784401 + 
  (104857600*f[a[1]^3*a[3]]*f[a[1]*b[2]*c[1]]^2)/387420489 - 
  (81612800*f[a[3]^2]*f[a[1]*b[2]*c[1]]^2)/1162261467 + 
  (419430400*f[a[2]*a[4]]*f[a[1]*b[2]*c[1]]^2)/3486784401 + 
  (102400*f[b[1]*c[1]]*f[a[1]*b[2]*c[1]]^2)/177147 + 
  (102400*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[2]*c[1]]^2)/177147 - 
  (30208000*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[2]*c[1]]^2)/43046721 - 
  (44441600*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[2]*c[1]]^2)/129140163 - 
  (2621440*f[a[1]*a[2]]*f[b[1]*c[1]]*f[a[1]^2*b[2]*c[1]])/4782969 + 
  (13107200*f[a[1]^3*a[2]]*f[b[1]*c[1]]*f[a[1]^2*b[2]*c[1]])/43046721 + 
  (2621440*f[a[2]*a[3]]*f[b[1]*c[1]]*f[a[1]^2*b[2]*c[1]])/43046721 + 
  (10485760*f[a[1]*a[4]]*f[b[1]*c[1]]*f[a[1]^2*b[2]*c[1]])/43046721 - 
  (3031040*f[a[2]]*f[a[1]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]])/4782969 - 
  (8929280*f[a[1]^2*a[2]]*f[a[1]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]])/
   43046721 + (343654400*f[a[1]^4*a[2]]*f[a[1]*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[1]])/1162261467 + 
  (434667520*f[a[2]^3]*f[a[1]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]])/
   1162261467 - (18350080*f[a[1]*a[2]*a[3]]*f[a[1]*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[1]])/387420489 + 
  (12124160*f[a[4]]*f[a[1]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]])/43046721 + 
  (35717120*f[a[1]^2*a[4]]*f[a[1]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]])/
   387420489 - (75776000*f[a[6]]*f[a[1]*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[1]])/387420489 + 
  (57098240*f[a[2]]*f[a[1]^3*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]])/43046721 + 
  (1056686080*f[a[1]^2*a[2]]*f[a[1]^3*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]])/
   1162261467 + (6966722560*f[a[1]^4*a[2]]*f[a[1]^3*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[1]])/31381059609 - 
  (64485294080*f[a[2]^3]*f[a[1]^3*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]])/
   31381059609 + (484966400*f[a[1]*a[2]*a[3]]*f[a[1]^3*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[1]])/10460353203 - 
  (228392960*f[a[4]]*f[a[1]^3*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]])/
   387420489 - (4226744320*f[a[1]^2*a[4]]*f[a[1]^3*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[1]])/10460353203 + 
  (1427456000*f[a[6]]*f[a[1]^3*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]])/
   3486784401 + (2749890560*f[a[1]*a[2]]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[1]])/1162261467 + 
  (117128560640*f[a[1]^3*a[2]]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[1]])/31381059609 - 
  (2749890560*f[a[2]*a[3]]*f[a[1]^4*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]])/
   10460353203 - (10999562240*f[a[1]*a[4]]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[1]])/10460353203 + 
  (3031040*f[a[1]]*f[a[2]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]])/4782969 - 
  (57098240*f[a[1]^3]*f[a[2]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]])/43046721 + 
  (825344000*f[a[1]^5]*f[a[2]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]])/
   387420489 + (3591864320*f[a[1]*a[2]^2]*f[a[2]*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[1]])/3486784401 + 
  (3522560*f[a[3]]*f[a[2]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]])/43046721 - 
  (122961920*f[a[1]^2*a[3]]*f[a[2]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]])/
   387420489 - (32358400*f[a[5]]*f[a[2]*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[1]])/3486784401 + 
  (2621440*f[1]*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]])/4782969 - 
  (2749890560*f[a[1]^4]*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]])/
   1162261467 + (204603392000*f[a[1]^6]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[1]])/31381059609 + 
  (3517972480*f[a[2]^2]*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]])/
   3486784401 + (23110615040*f[a[1]^2*a[2]^2]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[1]])/31381059609 - 
  (18350080*f[a[1]*a[3]]*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]])/
   43046721 - (5156372480*f[a[1]^3*a[3]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[1]])/10460353203 + 
  (1095761920*f[a[3]^2]*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]])/
   31381059609 - (20300431360*f[a[2]*a[4]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[1]])/94143178827 + 
  (563609600*f[a[1]*a[5]]*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]])/
   3486784401 + (8929280*f[a[1]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[1]])/43046721 - 
  (1056686080*f[a[1]^3]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]])/
   1162261467 - (55087513600*f[a[1]^5]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[1]])/10460353203 + 
  (10091724800*f[a[1]*a[2]^2]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[1]])/31381059609 - 
  (81182720*f[a[3]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]])/
   129140163 - (3122544640*f[a[1]^2*a[3]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[1]])/3486784401 + 
  (108544000*f[a[5]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]])/
   387420489 - (3517972480*f[a[1]*a[2]]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[1]])/3486784401 + 
  (6726615040*f[a[1]^3*a[2]]*f[a[2]^2*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]])/
   3486784401 + (4975493120*f[a[2]*a[3]]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[1]])/10460353203 - 
  (7444889600*f[a[1]*a[4]]*f[a[2]^2*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]])/
   94143178827 - (3522560*f[a[2]]*f[a[3]*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[1]])/43046721 + 
  (81182720*f[a[1]^2*a[2]]*f[a[3]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]])/
   129140163 - (7218380800*f[a[1]^4*a[2]]*f[a[3]*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[1]])/10460353203 + 
  (3263856640*f[a[2]^3]*f[a[3]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]])/
   3486784401 - (29320806400*f[a[1]*a[2]*a[3]]*f[a[3]*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[1]])/31381059609 - 
  (90767360*f[a[4]]*f[a[3]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]])/387420489 + 
  (2779709440*f[a[1]^2*a[4]]*f[a[3]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]])/
   3486784401 + (3192012800*f[a[6]]*f[a[3]*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[1]])/31381059609 + 
  (18350080*f[a[1]*a[2]]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]])/
   43046721 + (8260157440*f[a[1]^3*a[2]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[1]])/10460353203 - 
  (32524206080*f[a[2]*a[3]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[1]])/31381059609 + 
  (262144000*f[a[1]*a[4]]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]])/
   387420489 - (12124160*f[a[1]]*f[a[4]*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[1]])/43046721 + 
  (228392960*f[a[1]^3]*f[a[4]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]])/
   387420489 - (3301376000*f[a[1]^5]*f[a[4]*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[1]])/3486784401 - 
  (152698880*f[a[1]*a[2]^2]*f[a[4]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]])/
   94143178827 + (90767360*f[a[3]]*f[a[4]*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[1]])/387420489 - 
  (3262054400*f[a[1]^2*a[3]]*f[a[4]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]])/
   3486784401 + (22932684800*f[a[5]]*f[a[4]*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[1]])/94143178827 - 
  (64000*f[1]*f[b[2]*c[1]]*f[a[1]^2*b[2]*c[1]])/177147 + 
  (2291200*f[a[1]^2]*f[b[2]*c[1]]*f[a[1]^2*b[2]*c[1]])/1594323 - 
  (67136000*f[a[1]^4]*f[b[2]*c[1]]*f[a[1]^2*b[2]*c[1]])/43046721 + 
  (2497600000*f[a[1]^6]*f[b[2]*c[1]]*f[a[1]^2*b[2]*c[1]])/1162261467 + 
  (99865600*f[a[2]^2]*f[b[2]*c[1]]*f[a[1]^2*b[2]*c[1]])/129140163 + 
  (11852800*f[a[1]^2*a[2]^2]*f[b[2]*c[1]]*f[a[1]^2*b[2]*c[1]])/
   3486784401 - (2867200*f[a[1]*a[3]]*f[b[2]*c[1]]*
     f[a[1]^2*b[2]*c[1]])/14348907 + 
  (252723200*f[a[1]^3*a[3]]*f[b[2]*c[1]]*f[a[1]^2*b[2]*c[1]])/
   387420489 + (76812800*f[a[3]^2]*f[b[2]*c[1]]*f[a[1]^2*b[2]*c[1]])/
   1162261467 - (1127219200*f[a[2]*a[4]]*f[b[2]*c[1]]*
     f[a[1]^2*b[2]*c[1]])/3486784401 + 
  (186368000*f[a[1]*a[5]]*f[b[2]*c[1]]*f[a[1]^2*b[2]*c[1]])/
   1162261467 - (64000*f[b[1]*c[1]]*f[b[2]*c[1]]*f[a[1]^2*b[2]*c[1]])/
   177147 + (2291200*f[a[1]^2*b[1]*c[1]]*f[b[2]*c[1]]*
     f[a[1]^2*b[2]*c[1]])/1594323 - 
  (67136000*f[a[1]^4*b[1]*c[1]]*f[b[2]*c[1]]*f[a[1]^2*b[2]*c[1]])/
   43046721 + (99865600*f[a[2]^2*b[1]*c[1]]*f[b[2]*c[1]]*
     f[a[1]^2*b[2]*c[1]])/129140163 - 
  (2867200*f[a[1]*a[3]*b[1]*c[1]]*f[b[2]*c[1]]*f[a[1]^2*b[2]*c[1]])/
   14348907 + (204800*f[a[1]]*f[a[1]*b[2]*c[1]]*f[a[1]^2*b[2]*c[1]])/
   177147 + (77209600*f[a[1]^3]*f[a[1]*b[2]*c[1]]*f[a[1]^2*b[2]*c[1]])/
   43046721 - (4551680000*f[a[1]^5]*f[a[1]*b[2]*c[1]]*
     f[a[1]^2*b[2]*c[1]])/1162261467 - 
  (1246412800*f[a[1]*a[2]^2]*f[a[1]*b[2]*c[1]]*f[a[1]^2*b[2]*c[1]])/
   3486784401 - (204800*f[a[3]]*f[a[1]*b[2]*c[1]]*f[a[1]^2*b[2]*c[1]])/
   1594323 + (22323200*f[a[1]^2*a[3]]*f[a[1]*b[2]*c[1]]*
     f[a[1]^2*b[2]*c[1]])/387420489 + 
  (13312000*f[a[5]]*f[a[1]*b[2]*c[1]]*f[a[1]^2*b[2]*c[1]])/129140163 + 
  (204800*f[a[1]*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*f[a[1]^2*b[2]*c[1]])/
   177147 + (77209600*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*
     f[a[1]^2*b[2]*c[1]])/43046721 - 
  (204800*f[a[3]*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*f[a[1]^2*b[2]*c[1]])/
   1594323 + (1145600*f[1]*f[a[1]^2*b[2]*c[1]]^2)/1594323 + 
  (53254400*f[a[1]^2]*f[a[1]^2*b[2]*c[1]]^2)/43046721 + 
  (1671891200*f[a[1]^4]*f[a[1]^2*b[2]*c[1]]^2)/1162261467 - 
  (62483680000*f[a[1]^6]*f[a[1]^2*b[2]*c[1]]^2)/10460353203 - 
  (3611660800*f[a[2]^2]*f[a[1]^2*b[2]*c[1]]^2)/3486784401 - 
  (7275635200*f[a[1]^2*a[2]^2]*f[a[1]^2*b[2]*c[1]]^2)/31381059609 - 
  (22323200*f[a[1]*a[3]]*f[a[1]^2*b[2]*c[1]]^2)/387420489 + 
  (2641715200*f[a[1]^3*a[3]]*f[a[1]^2*b[2]*c[1]]^2)/10460353203 - 
  (846073600*f[a[3]^2]*f[a[1]^2*b[2]*c[1]]^2)/10460353203 + 
  (4390912000*f[a[2]*a[4]]*f[a[1]^2*b[2]*c[1]]^2)/10460353203 + 
  (1451008000*f[a[1]*a[5]]*f[a[1]^2*b[2]*c[1]]^2)/31381059609 + 
  (1145600*f[b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]^2)/1594323 + 
  (53254400*f[a[1]^2*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]^2)/43046721 + 
  (1671891200*f[a[1]^4*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]^2)/1162261467 - 
  (3611660800*f[a[2]^2*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]^2)/3486784401 - 
  (22323200*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]^2)/387420489 + 
  (409600*f[a[2]]*f[b[1]*c[1]]*f[a[1]^3*b[2]*c[1]])/1594323 - 
  (14663680*f[a[1]^2*a[2]]*f[b[1]*c[1]]*f[a[1]^3*b[2]*c[1]])/14348907 + 
  (429670400*f[a[1]^4*a[2]]*f[b[1]*c[1]]*f[a[1]^3*b[2]*c[1]])/
   387420489 - (575242240*f[a[2]^3]*f[b[1]*c[1]]*f[a[1]^3*b[2]*c[1]])/
   1162261467 + (18350080*f[a[1]*a[2]*a[3]]*f[b[1]*c[1]]*
     f[a[1]^3*b[2]*c[1]])/129140163 - 
  (1638400*f[a[4]]*f[b[1]*c[1]]*f[a[1]^3*b[2]*c[1]])/14348907 + 
  (58654720*f[a[1]^2*a[4]]*f[b[1]*c[1]]*f[a[1]^3*b[2]*c[1]])/
   129140163 + (10240000*f[a[6]]*f[b[1]*c[1]]*f[a[1]^3*b[2]*c[1]])/
   129140163 - (41943040*f[a[1]*a[2]]*f[a[1]*b[1]*c[1]]*
     f[a[1]^3*b[2]*c[1]])/43046721 - 
  (713031680*f[a[1]^3*a[2]]*f[a[1]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]])/
   1162261467 + (41943040*f[a[2]*a[3]]*f[a[1]*b[1]*c[1]]*
     f[a[1]^3*b[2]*c[1]])/387420489 + 
  (167772160*f[a[1]*a[4]]*f[a[1]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]])/
   387420489 - (57098240*f[a[2]]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]^3*b[2]*c[1]])/43046721 - 
  (1056686080*f[a[1]^2*a[2]]*f[a[1]^2*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]])/
   1162261467 - (6966722560*f[a[1]^4*a[2]]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]^3*b[2]*c[1]])/31381059609 + 
  (64485294080*f[a[2]^3]*f[a[1]^2*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]])/
   31381059609 - (484966400*f[a[1]*a[2]*a[3]]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]^3*b[2]*c[1]])/10460353203 + 
  (228392960*f[a[4]]*f[a[1]^2*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]])/
   387420489 + (4226744320*f[a[1]^2*a[4]]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]^3*b[2]*c[1]])/10460353203 - 
  (1427456000*f[a[6]]*f[a[1]^2*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]])/
   3486784401 + (4366581760*f[a[2]]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]^3*b[2]*c[1]])/1162261467 + 
  (110161838080*f[a[1]^2*a[2]]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]^3*b[2]*c[1]])/31381059609 + 
  (441082593280*f[a[1]^4*a[2]]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]^3*b[2]*c[1]])/94143178827 - 
  (899141632000*f[a[2]^3]*f[a[1]^4*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]])/
   94143178827 + (7735869440*f[a[1]*a[2]*a[3]]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]^3*b[2]*c[1]])/282429536481 - 
  (17466327040*f[a[4]]*f[a[1]^4*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]])/
   10460353203 - (440647352320*f[a[1]^2*a[4]]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]^3*b[2]*c[1]])/282429536481 + 
  (109164544000*f[a[6]]*f[a[1]^4*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]])/
   94143178827 - (409600*f[1]*f[a[2]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]])/
   1594323 + (57098240*f[a[1]^2]*f[a[2]*b[1]*c[1]]*
     f[a[1]^3*b[2]*c[1]])/43046721 - 
  (4366581760*f[a[1]^4]*f[a[2]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]])/
   1162261467 + (88008704000*f[a[1]^6]*f[a[2]*b[1]*c[1]]*
     f[a[1]^3*b[2]*c[1]])/10460353203 + 
  (9994240*f[a[2]^2]*f[a[2]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]])/
   1162261467 + (47193620480*f[a[1]^2*a[2]^2]*f[a[2]*b[1]*c[1]]*
     f[a[1]^3*b[2]*c[1]])/31381059609 + 
  (36700160*f[a[1]*a[3]]*f[a[2]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]])/
   387420489 - (1106247680*f[a[1]^3*a[3]]*f[a[2]*b[1]*c[1]]*
     f[a[1]^3*b[2]*c[1]])/3486784401 - 
  (98222080*f[a[3]^2]*f[a[2]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]])/
   10460353203 - (335544320*f[a[2]*a[4]]*f[a[2]*b[1]*c[1]]*
     f[a[1]^3*b[2]*c[1]])/3486784401 + 
  (760217600*f[a[1]*a[5]]*f[a[2]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]])/
   31381059609 + (41943040*f[a[1]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[1]^3*b[2]*c[1]])/43046721 - 
  (230477004800*f[a[1]^5]*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]])/
   31381059609 + (42865786880*f[a[1]*a[2]^2]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[1]^3*b[2]*c[1]])/31381059609 + 
  (20971520*f[a[3]]*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]])/
   129140163 - (5641338880*f[a[1]^2*a[3]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[1]^3*b[2]*c[1]])/10460353203 - 
  (104857600*f[a[5]]*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]])/
   3486784401 + (14663680*f[1]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]^3*b[2]*c[1]])/14348907 + 
  (1056686080*f[a[1]^2]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]])/
   1162261467 - (110161838080*f[a[1]^4]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]^3*b[2]*c[1]])/31381059609 - 
  (1513884467200*f[a[1]^6]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]^3*b[2]*c[1]])/94143178827 + 
  (41473638400*f[a[2]^2]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]])/
   31381059609 + (1953794129920*f[a[1]^2*a[2]^2]*
     f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]])/847288609443 - 
  (7775191040*f[a[1]*a[3]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]^3*b[2]*c[1]])/10460353203 - 
  (167232143360*f[a[1]^3*a[3]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]^3*b[2]*c[1]])/94143178827 + 
  (3994501120*f[a[3]^2]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]])/
   94143178827 - (78852915200*f[a[2]*a[4]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]^3*b[2]*c[1]])/847288609443 + 
  (268199526400*f[a[1]*a[5]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]^3*b[2]*c[1]])/847288609443 - 
  (9994240*f[a[2]]*f[a[2]^2*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]])/
   1162261467 - (41473638400*f[a[1]^2*a[2]]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]^3*b[2]*c[1]])/31381059609 + 
  (367393669120*f[a[1]^4*a[2]]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]^3*b[2]*c[1]])/94143178827 - 
  (565836185600*f[a[2]^3]*f[a[2]^2*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]])/
   282429536481 + (277426995200*f[a[1]*a[2]*a[3]]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]^3*b[2]*c[1]])/282429536481 + 
  (6830817280*f[a[4]]*f[a[2]^2*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]])/
   31381059609 - (437813903360*f[a[1]^2*a[4]]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]^3*b[2]*c[1]])/847288609443 - 
  (4557209600*f[a[6]]*f[a[2]^2*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]])/
   31381059609 - (20971520*f[a[1]*a[2]]*f[a[3]*b[1]*c[1]]*
     f[a[1]^3*b[2]*c[1]])/129140163 + 
  (482344960*f[a[1]^3*a[2]]*f[a[3]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]])/
   387420489 + (4383047680*f[a[2]*a[3]]*f[a[3]*b[1]*c[1]]*
     f[a[1]^3*b[2]*c[1]])/10460353203 - 
  (1426063360*f[a[1]*a[4]]*f[a[3]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]])/
   3486784401 - (36700160*f[a[2]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]^3*b[2]*c[1]])/387420489 + 
  (7775191040*f[a[1]^2*a[2]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]^3*b[2]*c[1]])/10460353203 + 
  (499641221120*f[a[1]^4*a[2]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]^3*b[2]*c[1]])/282429536481 + 
  (571903836160*f[a[2]^3]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]])/
   282429536481 - (455795015680*f[a[1]*a[2]*a[3]]*
     f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]])/282429536481 - 
  (1530920960*f[a[4]]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]])/
   3486784401 + (95399444480*f[a[1]^2*a[4]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]^3*b[2]*c[1]])/94143178827 + 
  (55495884800*f[a[6]]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]])/
   282429536481 + (1638400*f[1]*f[a[4]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]])/
   14348907 - (228392960*f[a[1]^2]*f[a[4]*b[1]*c[1]]*
     f[a[1]^3*b[2]*c[1]])/387420489 + 
  (17466327040*f[a[1]^4]*f[a[4]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]])/
   10460353203 - (352034816000*f[a[1]^6]*f[a[4]*b[1]*c[1]]*
     f[a[1]^3*b[2]*c[1]])/94143178827 - 
  (6830817280*f[a[2]^2]*f[a[4]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]])/
   31381059609 + (51475251200*f[a[1]^2*a[2]^2]*f[a[4]*b[1]*c[1]]*
     f[a[1]^3*b[2]*c[1]])/282429536481 + 
  (1530920960*f[a[1]*a[3]]*f[a[4]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]])/
   3486784401 - (183689543680*f[a[1]^3*a[3]]*f[a[4]*b[1]*c[1]]*
     f[a[1]^3*b[2]*c[1]])/94143178827 - 
  (9673441280*f[a[3]^2]*f[a[4]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]])/
   94143178827 - (122138132480*f[a[2]*a[4]]*f[a[4]*b[1]*c[1]]*
     f[a[1]^3*b[2]*c[1]])/282429536481 + 
  (351587532800*f[a[1]*a[5]]*f[a[4]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]])/
   847288609443 - (1024000*f[a[1]]*f[b[2]*c[1]]*f[a[1]^3*b[2]*c[1]])/
   1594323 + (120217600*f[a[1]^3]*f[b[2]*c[1]]*f[a[1]^3*b[2]*c[1]])/
   43046721 - (5626880000*f[a[1]^5]*f[b[2]*c[1]]*f[a[1]^3*b[2]*c[1]])/
   1162261467 + (1597849600*f[a[1]*a[2]^2]*f[b[2]*c[1]]*
     f[a[1]^3*b[2]*c[1]])/1162261467 + 
  (1024000*f[a[3]]*f[b[2]*c[1]]*f[a[1]^3*b[2]*c[1]])/14348907 - 
  (175513600*f[a[1]^2*a[3]]*f[b[2]*c[1]]*f[a[1]^3*b[2]*c[1]])/
   387420489 - (66560000*f[a[5]]*f[b[2]*c[1]]*f[a[1]^3*b[2]*c[1]])/
   1162261467 - (1024000*f[a[1]*b[1]*c[1]]*f[b[2]*c[1]]*
     f[a[1]^3*b[2]*c[1]])/1594323 + 
  (120217600*f[a[1]^3*b[1]*c[1]]*f[b[2]*c[1]]*f[a[1]^3*b[2]*c[1]])/
   43046721 + (1024000*f[a[3]*b[1]*c[1]]*f[b[2]*c[1]]*
     f[a[1]^3*b[2]*c[1]])/14348907 - 
  (1024000*f[1]*f[a[1]*b[2]*c[1]]*f[a[1]^3*b[2]*c[1]])/1594323 + 
  (77209600*f[a[1]^2]*f[a[1]*b[2]*c[1]]*f[a[1]^3*b[2]*c[1]])/43046721 + 
  (4471398400*f[a[1]^4]*f[a[1]*b[2]*c[1]]*f[a[1]^3*b[2]*c[1]])/
   1162261467 - (46699520000*f[a[1]^6]*f[a[1]*b[2]*c[1]]*
     f[a[1]^3*b[2]*c[1]])/3486784401 + 
  (707379200*f[a[2]^2]*f[a[1]*b[2]*c[1]]*f[a[1]^3*b[2]*c[1]])/
   387420489 - (184729600*f[a[1]^2*a[2]^2]*f[a[1]*b[2]*c[1]]*
     f[a[1]^3*b[2]*c[1]])/1162261467 - 
  (104857600*f[a[1]*a[3]]*f[a[1]*b[2]*c[1]]*f[a[1]^3*b[2]*c[1]])/
   387420489 + (1782579200*f[a[1]^3*a[3]]*f[a[1]*b[2]*c[1]]*
     f[a[1]^3*b[2]*c[1]])/10460353203 + 
  (1130700800*f[a[3]^2]*f[a[1]*b[2]*c[1]]*f[a[1]^3*b[2]*c[1]])/
   10460353203 - (24326963200*f[a[2]*a[4]]*f[a[1]*b[2]*c[1]]*
     f[a[1]^3*b[2]*c[1]])/31381059609 + 
  (6815744000*f[a[1]*a[5]]*f[a[1]*b[2]*c[1]]*f[a[1]^3*b[2]*c[1]])/
   31381059609 - (1024000*f[b[1]*c[1]]*f[a[1]*b[2]*c[1]]*
     f[a[1]^3*b[2]*c[1]])/1594323 + 
  (77209600*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*f[a[1]^3*b[2]*c[1]])/
   43046721 + (4471398400*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*
     f[a[1]^3*b[2]*c[1]])/1162261467 + 
  (707379200*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*
     f[a[1]^3*b[2]*c[1]])/387420489 - 
  (104857600*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*
     f[a[1]^3*b[2]*c[1]])/387420489 + 
  (77209600*f[a[1]]*f[a[1]^2*b[2]*c[1]]*f[a[1]^3*b[2]*c[1]])/43046721 + 
  (6811033600*f[a[1]^3]*f[a[1]^2*b[2]*c[1]]*f[a[1]^3*b[2]*c[1]])/
   1162261467 + (55788544000*f[a[1]^5]*f[a[1]^2*b[2]*c[1]]*
     f[a[1]^3*b[2]*c[1]])/10460353203 - 
  (47664742400*f[a[1]*a[2]^2]*f[a[1]^2*b[2]*c[1]]*f[a[1]^3*b[2]*c[1]])/
   31381059609 - (77209600*f[a[3]]*f[a[1]^2*b[2]*c[1]]*
     f[a[1]^3*b[2]*c[1]])/387420489 - 
  (2641715200*f[a[1]^2*a[3]]*f[a[1]^2*b[2]*c[1]]*f[a[1]^3*b[2]*c[1]])/
   10460353203 + (5018624000*f[a[5]]*f[a[1]^2*b[2]*c[1]]*
     f[a[1]^3*b[2]*c[1]])/31381059609 + 
  (77209600*f[a[1]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*f[a[1]^3*b[2]*c[1]])/
   43046721 + (6811033600*f[a[1]^3*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*
     f[a[1]^3*b[2]*c[1]])/1162261467 - 
  (77209600*f[a[3]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*f[a[1]^3*b[2]*c[1]])/
   387420489 + (60108800*f[1]*f[a[1]^3*b[2]*c[1]]^2)/43046721 + 
  (3405516800*f[a[1]^2]*f[a[1]^3*b[2]*c[1]]^2)/1162261467 + 
  (3405516800*f[a[1]^4]*f[a[1]^3*b[2]*c[1]]^2)/387420489 + 
  (126375424000*f[a[1]^6]*f[a[1]^3*b[2]*c[1]]^2)/94143178827 - 
  (34980044800*f[a[2]^2]*f[a[1]^3*b[2]*c[1]]^2)/10460353203 - 
  (21767987200*f[a[1]^2*a[2]^2]*f[a[1]^3*b[2]*c[1]]^2)/10460353203 - 
  (1782579200*f[a[1]*a[3]]*f[a[1]^3*b[2]*c[1]]^2)/10460353203 - 
  (42558976000*f[a[3]^2]*f[a[1]^3*b[2]*c[1]]^2)/282429536481 + 
  (1192440627200*f[a[2]*a[4]]*f[a[1]^3*b[2]*c[1]]^2)/847288609443 + 
  (115867648000*f[a[1]*a[5]]*f[a[1]^3*b[2]*c[1]]^2)/847288609443 + 
  (60108800*f[b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]^2)/43046721 + 
  (3405516800*f[a[1]^2*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]^2)/1162261467 + 
  (3405516800*f[a[1]^4*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]^2)/387420489 - 
  (34980044800*f[a[2]^2*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]^2)/10460353203 - 
  (1782579200*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]^2)/10460353203 + 
  (81920*f[a[1]]*f[b[1]*c[1]]*f[a[2]*b[2]*c[1]])/177147 - 
  (409600*f[a[1]^3]*f[b[1]*c[1]]*f[a[2]*b[2]*c[1]])/1594323 + 
  (10240000*f[a[1]^5]*f[b[1]*c[1]]*f[a[2]*b[2]*c[1]])/43046721 + 
  (2129920*f[a[1]*a[2]^2]*f[b[1]*c[1]]*f[a[2]*b[2]*c[1]])/43046721 + 
  (409600*f[a[3]]*f[b[1]*c[1]]*f[a[2]*b[2]*c[1]])/531441 - 
  (901120*f[a[1]^2*a[3]]*f[b[1]*c[1]]*f[a[2]*b[2]*c[1]])/43046721 - 
  (4505600*f[a[5]]*f[b[1]*c[1]]*f[a[2]*b[2]*c[1]])/14348907 - 
  (81920*f[1]*f[a[1]*b[1]*c[1]]*f[a[2]*b[2]*c[1]])/177147 + 
  (3031040*f[a[1]^2]*f[a[1]*b[1]*c[1]]*f[a[2]*b[2]*c[1]])/4782969 - 
  (9420800*f[a[1]^4]*f[a[1]*b[1]*c[1]]*f[a[2]*b[2]*c[1]])/14348907 + 
  (1034240000*f[a[1]^6]*f[a[1]*b[1]*c[1]]*f[a[2]*b[2]*c[1]])/
   1162261467 - (44072960*f[a[2]^2]*f[a[1]*b[1]*c[1]]*
     f[a[2]*b[2]*c[1]])/43046721 + 
  (96174080*f[a[1]^2*a[2]^2]*f[a[1]*b[1]*c[1]]*f[a[2]*b[2]*c[1]])/
   387420489 + (5242880*f[a[1]*a[3]]*f[a[1]*b[1]*c[1]]*
     f[a[2]*b[2]*c[1]])/14348907 + 
  (5242880*f[a[1]^3*a[3]]*f[a[1]*b[1]*c[1]]*f[a[2]*b[2]*c[1]])/
   387420489 - (44810240*f[a[3]^2]*f[a[1]*b[1]*c[1]]*
     f[a[2]*b[2]*c[1]])/1162261467 + 
  (335544320*f[a[2]*a[4]]*f[a[1]*b[1]*c[1]]*f[a[2]*b[2]*c[1]])/
   1162261467 - (131072000*f[a[1]*a[5]]*f[a[1]*b[1]*c[1]]*
     f[a[2]*b[2]*c[1]])/1162261467 - 
  (3031040*f[a[1]]*f[a[1]^2*b[1]*c[1]]*f[a[2]*b[2]*c[1]])/4782969 + 
  (57098240*f[a[1]^3]*f[a[1]^2*b[1]*c[1]]*f[a[2]*b[2]*c[1]])/43046721 - 
  (825344000*f[a[1]^5]*f[a[1]^2*b[1]*c[1]]*f[a[2]*b[2]*c[1]])/
   387420489 - (3591864320*f[a[1]*a[2]^2]*f[a[1]^2*b[1]*c[1]]*
     f[a[2]*b[2]*c[1]])/3486784401 - 
  (3522560*f[a[3]]*f[a[1]^2*b[1]*c[1]]*f[a[2]*b[2]*c[1]])/43046721 + 
  (122961920*f[a[1]^2*a[3]]*f[a[1]^2*b[1]*c[1]]*f[a[2]*b[2]*c[1]])/
   387420489 + (32358400*f[a[5]]*f[a[1]^2*b[1]*c[1]]*
     f[a[2]*b[2]*c[1]])/3486784401 + 
  (409600*f[1]*f[a[1]^3*b[1]*c[1]]*f[a[2]*b[2]*c[1]])/1594323 - 
  (57098240*f[a[1]^2]*f[a[1]^3*b[1]*c[1]]*f[a[2]*b[2]*c[1]])/43046721 + 
  (4366581760*f[a[1]^4]*f[a[1]^3*b[1]*c[1]]*f[a[2]*b[2]*c[1]])/
   1162261467 - (88008704000*f[a[1]^6]*f[a[1]^3*b[1]*c[1]]*
     f[a[2]*b[2]*c[1]])/10460353203 - 
  (9994240*f[a[2]^2]*f[a[1]^3*b[1]*c[1]]*f[a[2]*b[2]*c[1]])/
   1162261467 - (47193620480*f[a[1]^2*a[2]^2]*f[a[1]^3*b[1]*c[1]]*
     f[a[2]*b[2]*c[1]])/31381059609 - 
  (36700160*f[a[1]*a[3]]*f[a[1]^3*b[1]*c[1]]*f[a[2]*b[2]*c[1]])/
   387420489 + (1106247680*f[a[1]^3*a[3]]*f[a[1]^3*b[1]*c[1]]*
     f[a[2]*b[2]*c[1]])/3486784401 + 
  (98222080*f[a[3]^2]*f[a[1]^3*b[1]*c[1]]*f[a[2]*b[2]*c[1]])/
   10460353203 + (335544320*f[a[2]*a[4]]*f[a[1]^3*b[1]*c[1]]*
     f[a[2]*b[2]*c[1]])/3486784401 - 
  (760217600*f[a[1]*a[5]]*f[a[1]^3*b[1]*c[1]]*f[a[2]*b[2]*c[1]])/
   31381059609 + (9420800*f[a[1]]*f[a[1]^4*b[1]*c[1]]*
     f[a[2]*b[2]*c[1]])/14348907 - 
  (4366581760*f[a[1]^3]*f[a[1]^4*b[1]*c[1]]*f[a[2]*b[2]*c[1]])/
   1162261467 + (422479052800*f[a[1]^5]*f[a[1]^4*b[1]*c[1]]*
     f[a[2]*b[2]*c[1]])/31381059609 - 
  (7190773760*f[a[1]*a[2]^2]*f[a[1]^4*b[1]*c[1]]*f[a[2]*b[2]*c[1]])/
   31381059609 + (4505600*f[a[3]]*f[a[1]^4*b[1]*c[1]]*
     f[a[2]*b[2]*c[1]])/387420489 - 
  (981975040*f[a[1]^2*a[3]]*f[a[1]^4*b[1]*c[1]]*f[a[2]*b[2]*c[1]])/
   10460353203 + (690176000*f[a[5]]*f[a[1]^4*b[1]*c[1]]*
     f[a[2]*b[2]*c[1]])/31381059609 - 
  (671088640*f[a[1]^2*a[2]]*f[a[1]*a[2]*b[1]*c[1]]*f[a[2]*b[2]*c[1]])/
   3486784401 + (6710886400*f[a[1]^4*a[2]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[2]*b[2]*c[1]])/31381059609 + 
  (10737418240*f[a[2]^3]*f[a[1]*a[2]*b[1]*c[1]]*f[a[2]*b[2]*c[1]])/
   3486784401 - (3355443200*f[a[1]*a[2]*a[3]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[2]*b[2]*c[1]])/10460353203 + 
  (671088640*f[a[4]]*f[a[1]*a[2]*b[1]*c[1]]*f[a[2]*b[2]*c[1]])/
   3486784401 + (4697620480*f[a[1]^2*a[4]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[2]*b[2]*c[1]])/94143178827 - 
  (1342177280*f[a[6]]*f[a[1]*a[2]*b[1]*c[1]]*f[a[2]*b[2]*c[1]])/
   10460353203 + (671088640*f[a[1]*a[2]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[2]*b[2]*c[1]])/3486784401 - 
  (24830279680*f[a[1]^3*a[2]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[2]*b[2]*c[1]])/31381059609 + 
  (3355443200*f[a[2]*a[3]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[2]*b[2]*c[1]])/
   10460353203 + (13421772800*f[a[1]*a[4]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[2]*b[2]*c[1]])/94143178827 + 
  (44072960*f[a[1]]*f[a[2]^2*b[1]*c[1]]*f[a[2]*b[2]*c[1]])/43046721 + 
  (9994240*f[a[1]^3]*f[a[2]^2*b[1]*c[1]]*f[a[2]*b[2]*c[1]])/
   1162261467 - (17027072000*f[a[1]^5]*f[a[2]^2*b[1]*c[1]]*
     f[a[2]*b[2]*c[1]])/31381059609 - 
  (3197173760*f[a[1]*a[2]^2]*f[a[2]^2*b[1]*c[1]]*f[a[2]*b[2]*c[1]])/
   3486784401 + (220364800*f[a[3]]*f[a[2]^2*b[1]*c[1]]*
     f[a[2]*b[2]*c[1]])/129140163 + 
  (9581527040*f[a[1]^2*a[3]]*f[a[2]^2*b[1]*c[1]]*f[a[2]*b[2]*c[1]])/
   10460353203 - (2424012800*f[a[5]]*f[a[2]^2*b[1]*c[1]]*
     f[a[2]*b[2]*c[1]])/3486784401 - 
  (409600*f[1]*f[a[3]*b[1]*c[1]]*f[a[2]*b[2]*c[1]])/531441 + 
  (3522560*f[a[1]^2]*f[a[3]*b[1]*c[1]]*f[a[2]*b[2]*c[1]])/43046721 - 
  (4505600*f[a[1]^4]*f[a[3]*b[1]*c[1]]*f[a[2]*b[2]*c[1]])/387420489 - 
  (71680000*f[a[1]^6]*f[a[3]*b[1]*c[1]]*f[a[2]*b[2]*c[1]])/3486784401 - 
  (220364800*f[a[2]^2]*f[a[3]*b[1]*c[1]]*f[a[2]*b[2]*c[1]])/129140163 + 
  (3237314560*f[a[1]^2*a[2]^2]*f[a[3]*b[1]*c[1]]*f[a[2]*b[2]*c[1]])/
   10460353203 + (665845760*f[a[1]*a[3]]*f[a[3]*b[1]*c[1]]*
     f[a[2]*b[2]*c[1]])/1162261467 - 
  (3580887040*f[a[1]^3*a[3]]*f[a[3]*b[1]*c[1]]*f[a[2]*b[2]*c[1]])/
   10460353203 + (8793702400*f[a[3]^2]*f[a[3]*b[1]*c[1]]*
     f[a[2]*b[2]*c[1]])/3486784401 - 
  (3690987520*f[a[2]*a[4]]*f[a[3]*b[1]*c[1]]*f[a[2]*b[2]*c[1]])/
   3486784401 + (760217600*f[a[1]*a[5]]*f[a[3]*b[1]*c[1]]*
     f[a[2]*b[2]*c[1]])/10460353203 - 
  (5242880*f[a[1]]*f[a[1]*a[3]*b[1]*c[1]]*f[a[2]*b[2]*c[1]])/14348907 + 
  (36700160*f[a[1]^3]*f[a[1]*a[3]*b[1]*c[1]]*f[a[2]*b[2]*c[1]])/
   387420489 + (131072000*f[a[1]^5]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[2]*b[2]*c[1]])/10460353203 - 
  (2149580800*f[a[1]*a[2]^2]*f[a[1]*a[3]*b[1]*c[1]]*f[a[2]*b[2]*c[1]])/
   3486784401 - (665845760*f[a[3]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[2]*b[2]*c[1]])/1162261467 + 
  (25517096960*f[a[1]^2*a[3]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[2]*b[2]*c[1]])/31381059609 - 
  (183500800*f[a[5]]*f[a[1]*a[3]*b[1]*c[1]]*f[a[2]*b[2]*c[1]])/
   3486784401 - (671088640*f[a[1]*a[2]]*f[a[4]*b[1]*c[1]]*
     f[a[2]*b[2]*c[1]])/3486784401 + 
  (3355443200*f[a[1]^3*a[2]]*f[a[4]*b[1]*c[1]]*f[a[2]*b[2]*c[1]])/
   31381059609 + (12750684160*f[a[2]*a[3]]*f[a[4]*b[1]*c[1]]*
     f[a[2]*b[2]*c[1]])/10460353203 - 
  (29527900160*f[a[1]*a[4]]*f[a[4]*b[1]*c[1]]*f[a[2]*b[2]*c[1]])/
   31381059609 - (3276800*f[a[2]]*f[b[2]*c[1]]*f[a[2]*b[2]*c[1]])/
   1594323 + (16384000*f[a[1]^2*a[2]]*f[b[2]*c[1]]*f[a[2]*b[2]*c[1]])/
   43046721 - (81920000*f[a[1]^4*a[2]]*f[b[2]*c[1]]*f[a[2]*b[2]*c[1]])/
   387420489 - (85196800*f[a[2]^3]*f[b[2]*c[1]]*f[a[2]*b[2]*c[1]])/
   129140163 - (104857600*f[a[1]*a[2]*a[3]]*f[b[2]*c[1]]*
     f[a[2]*b[2]*c[1]])/387420489 + 
  (13107200*f[a[4]]*f[b[2]*c[1]]*f[a[2]*b[2]*c[1]])/129140163 - 
  (65536000*f[a[1]^2*a[4]]*f[b[2]*c[1]]*f[a[2]*b[2]*c[1]])/3486784401 - 
  (36044800*f[a[6]]*f[b[2]*c[1]]*f[a[2]*b[2]*c[1]])/387420489 - 
  (3276800*f[a[2]*b[1]*c[1]]*f[b[2]*c[1]]*f[a[2]*b[2]*c[1]])/1594323 + 
  (16384000*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[2]*c[1]]*f[a[2]*b[2]*c[1]])/
   43046721 + (13107200*f[a[4]*b[1]*c[1]]*f[b[2]*c[1]]*
     f[a[2]*b[2]*c[1]])/129140163 - 
  (104857600*f[a[1]*a[2]]*f[a[1]*b[2]*c[1]]*f[a[2]*b[2]*c[1]])/
   129140163 + (524288000*f[a[1]^3*a[2]]*f[a[1]*b[2]*c[1]]*
     f[a[2]*b[2]*c[1]])/1162261467 + 
  (104857600*f[a[2]*a[3]]*f[a[1]*b[2]*c[1]]*f[a[2]*b[2]*c[1]])/
   129140163 - (419430400*f[a[1]*a[4]]*f[a[1]*b[2]*c[1]]*
     f[a[2]*b[2]*c[1]])/3486784401 - 
  (104857600*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*
     f[a[2]*b[2]*c[1]])/129140163 - 
  (55705600*f[a[2]]*f[a[1]^2*b[2]*c[1]]*f[a[2]*b[2]*c[1]])/129140163 - 
  (1399193600*f[a[1]^2*a[2]]*f[a[1]^2*b[2]*c[1]]*f[a[2]*b[2]*c[1]])/
   3486784401 + (5128192000*f[a[1]^4*a[2]]*f[a[1]^2*b[2]*c[1]]*
     f[a[2]*b[2]*c[1]])/10460353203 - 
  (9430630400*f[a[2]^3]*f[a[1]^2*b[2]*c[1]]*f[a[2]*b[2]*c[1]])/
   3486784401 + (8912896000*f[a[1]*a[2]*a[3]]*f[a[1]^2*b[2]*c[1]]*
     f[a[2]*b[2]*c[1]])/10460353203 + 
  (1192755200*f[a[4]]*f[a[1]^2*b[2]*c[1]]*f[a[2]*b[2]*c[1]])/
   3486784401 - (4390912000*f[a[1]^2*a[4]]*f[a[1]^2*b[2]*c[1]]*
     f[a[2]*b[2]*c[1]])/10460353203 - 
  (2441216000*f[a[6]]*f[a[1]^2*b[2]*c[1]]*f[a[2]*b[2]*c[1]])/
   10460353203 - (55705600*f[a[2]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*
     f[a[2]*b[2]*c[1]])/129140163 - 
  (1399193600*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*
     f[a[2]*b[2]*c[1]])/3486784401 + 
  (1192755200*f[a[4]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*f[a[2]*b[2]*c[1]])/
   3486784401 - (1153433600*f[a[1]*a[2]]*f[a[1]^3*b[2]*c[1]]*
     f[a[2]*b[2]*c[1]])/1162261467 + 
  (5767168000*f[a[1]^3*a[2]]*f[a[1]^3*b[2]*c[1]]*f[a[2]*b[2]*c[1]])/
   10460353203 - (3040870400*f[a[2]*a[3]]*f[a[1]^3*b[2]*c[1]]*
     f[a[2]*b[2]*c[1]])/10460353203 + 
  (22229811200*f[a[1]*a[4]]*f[a[1]^3*b[2]*c[1]]*f[a[2]*b[2]*c[1]])/
   31381059609 - (1153433600*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[2]*b[2]*c[1]])/1162261467 - 
  (1638400*f[1]*f[a[2]*b[2]*c[1]]^2)/1594323 - 
  (27852800*f[a[1]^2]*f[a[2]*b[2]*c[1]]^2)/129140163 + 
  (401408000*f[a[1]^4]*f[a[2]*b[2]*c[1]]^2)/1162261467 - 
  (204800000*f[a[1]^6]*f[a[2]*b[2]*c[1]]^2)/387420489 + 
  (3276800*f[a[2]^2]*f[a[2]*b[2]*c[1]]^2)/1594323 - 
  (13307084800*f[a[1]^2*a[2]^2]*f[a[2]*b[2]*c[1]]^2)/31381059609 - 
  (104857600*f[a[1]*a[3]]*f[a[2]*b[2]*c[1]]^2)/129140163 + 
  (3040870400*f[a[1]^3*a[3]]*f[a[2]*b[2]*c[1]]^2)/10460353203 - 
  (10333388800*f[a[3]^2]*f[a[2]*b[2]*c[1]]^2)/10460353203 + 
  (12058624000*f[a[1]*a[5]]*f[a[2]*b[2]*c[1]]^2)/31381059609 - 
  (1638400*f[b[1]*c[1]]*f[a[2]*b[2]*c[1]]^2)/1594323 - 
  (27852800*f[a[1]^2*b[1]*c[1]]*f[a[2]*b[2]*c[1]]^2)/129140163 + 
  (401408000*f[a[1]^4*b[1]*c[1]]*f[a[2]*b[2]*c[1]]^2)/1162261467 + 
  (3276800*f[a[2]^2*b[1]*c[1]]*f[a[2]*b[2]*c[1]]^2)/1594323 - 
  (104857600*f[a[1]*a[3]*b[1]*c[1]]*f[a[2]*b[2]*c[1]]^2)/129140163 + 
  (2621440*f[a[1]^2]*f[b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]])/4782969 - 
  (26214400*f[a[1]^4]*f[b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]])/43046721 + 
  (327680000*f[a[1]^6]*f[b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]])/387420489 + 
  (41943040*f[a[2]^2]*f[b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]])/43046721 - 
  (5242880*f[a[1]^2*a[2]^2]*f[b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]])/
   43046721 + (18350080*f[a[1]*a[3]]*f[b[1]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/43046721 - 
  (2621440*f[a[1]^3*a[3]]*f[b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]])/
   129140163 - (13107200*f[a[3]^2]*f[b[1]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/129140163 - 
  (838860800*f[a[2]*a[4]]*f[b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]])/
   3486784401 - (563609600*f[a[1]*a[5]]*f[b[1]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/3486784401 + 
  (41943040*f[a[1]^3]*f[a[1]*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]])/
   43046721 - (2097152000*f[a[1]^5]*f[a[1]*b[1]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/1162261467 - 
  (671088640*f[a[1]*a[2]^2]*f[a[1]*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]])/
   3486784401 + (20971520*f[a[3]]*f[a[1]*b[1]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/43046721 + 
  (146800640*f[a[1]^2*a[3]]*f[a[1]*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]])/
   387420489 - (734003200*f[a[5]]*f[a[1]*b[1]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/3486784401 - 
  (2621440*f[1]*f[a[1]^2*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]])/4782969 + 
  (2749890560*f[a[1]^4]*f[a[1]^2*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]])/
   1162261467 - (204603392000*f[a[1]^6]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/31381059609 - 
  (3517972480*f[a[2]^2]*f[a[1]^2*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]])/
   3486784401 - (23110615040*f[a[1]^2*a[2]^2]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/31381059609 + 
  (18350080*f[a[1]*a[3]]*f[a[1]^2*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]])/
   43046721 + (5156372480*f[a[1]^3*a[3]]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/10460353203 - 
  (1095761920*f[a[3]^2]*f[a[1]^2*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]])/
   31381059609 + (20300431360*f[a[2]*a[4]]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/94143178827 - 
  (563609600*f[a[1]*a[5]]*f[a[1]^2*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]])/
   3486784401 - (41943040*f[a[1]]*f[a[1]^3*b[1]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/43046721 + 
  (230477004800*f[a[1]^5]*f[a[1]^3*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]])/
   31381059609 - (42865786880*f[a[1]*a[2]^2]*f[a[1]^3*b[1]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/31381059609 - 
  (20971520*f[a[3]]*f[a[1]^3*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]])/
   129140163 + (5641338880*f[a[1]^2*a[3]]*f[a[1]^3*b[1]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/10460353203 + 
  (104857600*f[a[5]]*f[a[1]^3*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]])/
   3486784401 + (26214400*f[1]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/43046721 - 
  (2749890560*f[a[1]^2]*f[a[1]^4*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]])/
   1162261467 + (876308070400*f[a[1]^6]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/31381059609 - 
  (3638558720*f[a[2]^2]*f[a[1]^4*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]])/
   10460353203 - (2039475077120*f[a[1]^2*a[2]^2]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/847288609443 - 
  (909639680*f[a[1]*a[3]]*f[a[1]^4*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]])/
   3486784401 + (235130060800*f[a[1]^3*a[3]]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/282429536481 + 
  (5853675520*f[a[3]^2]*f[a[1]^4*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]])/
   282429536481 + (333363281920*f[a[2]*a[4]]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/847288609443 - 
  (2739404800*f[a[1]*a[5]]*f[a[1]^4*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]])/
   282429536481 + (671088640*f[a[1]^2*a[2]]*f[a[2]*b[1]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/3486784401 - 
  (6710886400*f[a[1]^4*a[2]]*f[a[2]*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]])/
   31381059609 - (10737418240*f[a[2]^3]*f[a[2]*b[1]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/3486784401 + 
  (3355443200*f[a[1]*a[2]*a[3]]*f[a[2]*b[1]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/10460353203 - 
  (671088640*f[a[4]]*f[a[2]*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]])/
   3486784401 - (4697620480*f[a[1]^2*a[4]]*f[a[2]*b[1]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/94143178827 + 
  (1342177280*f[a[6]]*f[a[2]*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]])/
   10460353203 - (671088640*f[a[2]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/3486784401 - 
  (24830279680*f[a[1]^4*a[2]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/31381059609 + 
  (830807736320*f[a[2]^3]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/282429536481 - 
  (81201725440*f[a[1]*a[2]*a[3]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/282429536481 + 
  (32883343360*f[a[4]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/94143178827 + 
  (73148661760*f[a[1]^2*a[4]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/847288609443 - 
  (7381975040*f[a[6]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]])/
   31381059609 - (41943040*f[1]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/43046721 + 
  (3517972480*f[a[1]^2]*f[a[2]^2*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]])/
   3486784401 + (3638558720*f[a[1]^4]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/10460353203 - 
  (686424064000*f[a[1]^6]*f[a[2]^2*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]])/
   282429536481 - (433093345280*f[a[1]^2*a[2]^2]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/282429536481 + 
  (1819279360*f[a[1]*a[3]]*f[a[2]^2*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]])/
   10460353203 + (537599672320*f[a[1]^3*a[3]]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/282429536481 - 
  (327999815680*f[a[3]^2]*f[a[2]^2*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]])/
   282429536481 + (1677721600*f[a[2]*a[4]]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/3486784401 + 
  (5478809600*f[a[1]*a[5]]*f[a[2]^2*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]])/
   847288609443 - (20971520*f[a[1]]*f[a[3]*b[1]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/43046721 + 
  (20971520*f[a[1]^3]*f[a[3]*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]])/
   129140163 - (524288000*f[a[1]^5]*f[a[3]*b[1]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/10460353203 - 
  (14638120960*f[a[1]*a[2]^2]*f[a[3]*b[1]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/10460353203 + 
  (21181235200*f[a[1]^2*a[3]]*f[a[3]*b[1]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/31381059609 - 
  (209715200*f[a[5]]*f[a[3]*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]])/
   10460353203 - (18350080*f[1]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/43046721 - 
  (18350080*f[a[1]^2]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]])/
   43046721 + (909639680*f[a[1]^4]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/3486784401 - 
  (7405568000*f[a[1]^6]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]])/
   282429536481 - (1819279360*f[a[2]^2]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/10460353203 - 
  (963405414400*f[a[1]^2*a[2]^2]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/847288609443 + 
  (348966092800*f[a[1]^3*a[3]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/282429536481 + 
  (148040581120*f[a[3]^2]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/94143178827 - 
  (558345748480*f[a[2]*a[4]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/847288609443 + 
  (671088640*f[a[2]]*f[a[4]*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]])/
   3486784401 - (32883343360*f[a[1]^2*a[2]]*f[a[4]*b[1]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/94143178827 + 
  (104018739200*f[a[1]^4*a[2]]*f[a[4]*b[1]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/282429536481 + 
  (6710886400*f[a[2]^3]*f[a[4]*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]])/
   31381059609 + (260382392320*f[a[1]*a[2]*a[3]]*f[a[4]*b[1]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/282429536481 - 
  (912680550400*f[a[1]^2*a[4]]*f[a[4]*b[1]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/847288609443 + 
  (671088640*f[a[6]]*f[a[4]*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]])/
   282429536481 - (209715200*f[a[1]*a[2]]*f[b[2]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/129140163 + 
  (1048576000*f[a[1]^3*a[2]]*f[b[2]*c[1]]*f[a[1]*a[2]*b[2]*c[1]])/
   1162261467 - (209715200*f[a[2]*a[3]]*f[b[2]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/387420489 + 
  (838860800*f[a[1]*a[4]]*f[b[2]*c[1]]*f[a[1]*a[2]*b[2]*c[1]])/
   3486784401 - (209715200*f[a[1]*a[2]*b[1]*c[1]]*f[b[2]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/129140163 - 
  (104857600*f[a[2]]*f[a[1]*b[2]*c[1]]*f[a[1]*a[2]*b[2]*c[1]])/
   129140163 - (4508876800*f[a[1]^2*a[2]]*f[a[1]*b[2]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/3486784401 + 
  (47710208000*f[a[1]^4*a[2]]*f[a[1]*b[2]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/31381059609 + 
  (24117248000*f[a[2]^3]*f[a[1]*b[2]*c[1]]*f[a[1]*a[2]*b[2]*c[1]])/
   10460353203 + (1677721600*f[a[1]*a[2]*a[3]]*f[a[1]*b[2]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/31381059609 - 
  (419430400*f[a[4]]*f[a[1]*b[2]*c[1]]*f[a[1]*a[2]*b[2]*c[1]])/
   3486784401 + (2936012800*f[a[1]^2*a[4]]*f[a[1]*b[2]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/31381059609 + 
  (734003200*f[a[6]]*f[a[1]*b[2]*c[1]]*f[a[1]*a[2]*b[2]*c[1]])/
   10460353203 - (104857600*f[a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/129140163 - 
  (4508876800*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/3486784401 - 
  (419430400*f[a[4]*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/3486784401 - 
  (2306867200*f[a[1]*a[2]]*f[a[1]^2*b[2]*c[1]]*f[a[1]*a[2]*b[2]*c[1]])/
   3486784401 - (14050918400*f[a[1]^3*a[2]]*f[a[1]^2*b[2]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/10460353203 + 
  (11114905600*f[a[2]*a[3]]*f[a[1]^2*b[2]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/10460353203 - 
  (5872025600*f[a[1]*a[4]]*f[a[1]^2*b[2]*c[1]]*f[a[1]*a[2]*b[2]*c[1]])/
   31381059609 - (2306867200*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/3486784401 - 
  (1153433600*f[a[2]]*f[a[1]^3*b[2]*c[1]]*f[a[1]*a[2]*b[2]*c[1]])/
   1162261467 - (22754099200*f[a[1]^2*a[2]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/31381059609 - 
  (948856422400*f[a[1]^4*a[2]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/847288609443 - 
  (1351614464000*f[a[2]^3]*f[a[1]^3*b[2]*c[1]]*f[a[1]*a[2]*b[2]*c[1]])/
   282429536481 + (421108121600*f[a[1]*a[2]*a[3]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/282429536481 + 
  (22229811200*f[a[4]]*f[a[1]^3*b[2]*c[1]]*f[a[1]*a[2]*b[2]*c[1]])/
   31381059609 - (359451852800*f[a[1]^2*a[4]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/847288609443 - 
  (15204352000*f[a[6]]*f[a[1]^3*b[2]*c[1]]*f[a[1]*a[2]*b[2]*c[1]])/
   31381059609 - (1153433600*f[a[2]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/1162261467 - 
  (22754099200*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/31381059609 + 
  (22229811200*f[a[4]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/31381059609 - 
  (104857600*f[a[1]]*f[a[2]*b[2]*c[1]]*f[a[1]*a[2]*b[2]*c[1]])/
   129140163 - (1153433600*f[a[1]^3]*f[a[2]*b[2]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/1162261467 + 
  (2621440000*f[a[1]^5]*f[a[2]*b[2]*c[1]]*f[a[1]*a[2]*b[2]*c[1]])/
   1162261467 + (77804339200*f[a[1]*a[2]^2]*f[a[2]*b[2]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/31381059609 + 
  (104857600*f[a[3]]*f[a[2]*b[2]*c[1]]*f[a[1]*a[2]*b[2]*c[1]])/
   129140163 - (20027801600*f[a[1]^2*a[3]]*f[a[2]*b[2]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/10460353203 - 
  (12058624000*f[a[5]]*f[a[2]*b[2]*c[1]]*f[a[1]*a[2]*b[2]*c[1]])/
   31381059609 - (104857600*f[a[1]*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/129140163 - 
  (1153433600*f[a[1]^3*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/1162261467 + 
  (104857600*f[a[3]*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]])/129140163 - 
  (104857600*f[1]*f[a[1]*a[2]*b[2]*c[1]]^2)/129140163 - 
  (1153433600*f[a[1]^2]*f[a[1]*a[2]*b[2]*c[1]]^2)/3486784401 - 
  (39531315200*f[a[1]^4]*f[a[1]*a[2]*b[2]*c[1]]^2)/31381059609 + 
  (3462922240000*f[a[1]^6]*f[a[1]*a[2]*b[2]*c[1]]^2)/847288609443 + 
  (24117248000*f[a[2]^2]*f[a[1]*a[2]*b[2]*c[1]]^2)/31381059609 + 
  (3802346291200*f[a[1]^2*a[2]^2]*f[a[1]*a[2]*b[2]*c[1]]^2)/
   2541865828329 - (1677721600*f[a[1]*a[3]]*f[a[1]*a[2]*b[2]*c[1]]^2)/
   31381059609 - (421108121600*f[a[1]^3*a[3]]*f[a[1]*a[2]*b[2]*c[1]]^2)/
   282429536481 - (555640422400*f[a[3]^2]*f[a[1]*a[2]*b[2]*c[1]]^2)/
   847288609443 + (107374182400*f[a[2]*a[4]]*f[a[1]*a[2]*b[2]*c[1]]^2)/
   2541865828329 + (109051904000*f[a[1]*a[5]]*f[a[1]*a[2]*b[2]*c[1]]^2)/
   2541865828329 - (104857600*f[b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]^2)/
   129140163 - (1153433600*f[a[1]^2*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]^2)/
   3486784401 - (39531315200*f[a[1]^4*b[1]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]]^2)/31381059609 + 
  (24117248000*f[a[2]^2*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]^2)/
   31381059609 - (1677721600*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]]^2)/31381059609 - 
  (409600*f[a[2]]*f[b[1]*c[1]]*f[a[3]*b[2]*c[1]])/531441 + 
  (2048000*f[a[1]^2*a[2]]*f[b[1]*c[1]]*f[a[3]*b[2]*c[1]])/14348907 - 
  (10240000*f[a[1]^4*a[2]]*f[b[1]*c[1]]*f[a[3]*b[2]*c[1]])/129140163 - 
  (10649600*f[a[2]^3]*f[b[1]*c[1]]*f[a[3]*b[2]*c[1]])/43046721 - 
  (13107200*f[a[1]*a[2]*a[3]]*f[b[1]*c[1]]*f[a[3]*b[2]*c[1]])/
   129140163 - (16056320*f[a[4]]*f[b[1]*c[1]]*f[a[3]*b[2]*c[1]])/
   14348907 + (80281600*f[a[1]^2*a[4]]*f[b[1]*c[1]]*f[a[3]*b[2]*c[1]])/
   387420489 + (520437760*f[a[6]]*f[b[1]*c[1]]*f[a[3]*b[2]*c[1]])/
   1162261467 - (20971520*f[a[1]*a[2]]*f[a[1]*b[1]*c[1]]*
     f[a[3]*b[2]*c[1]])/43046721 + 
  (104857600*f[a[1]^3*a[2]]*f[a[1]*b[1]*c[1]]*f[a[3]*b[2]*c[1]])/
   387420489 + (901775360*f[a[2]*a[3]]*f[a[1]*b[1]*c[1]]*
     f[a[3]*b[2]*c[1]])/1162261467 - 
  (83886080*f[a[1]*a[4]]*f[a[1]*b[1]*c[1]]*f[a[3]*b[2]*c[1]])/
   129140163 + (3522560*f[a[2]]*f[a[1]^2*b[1]*c[1]]*f[a[3]*b[2]*c[1]])/
   43046721 - (81182720*f[a[1]^2*a[2]]*f[a[1]^2*b[1]*c[1]]*
     f[a[3]*b[2]*c[1]])/129140163 + 
  (7218380800*f[a[1]^4*a[2]]*f[a[1]^2*b[1]*c[1]]*f[a[3]*b[2]*c[1]])/
   10460353203 - (3263856640*f[a[2]^3]*f[a[1]^2*b[1]*c[1]]*
     f[a[3]*b[2]*c[1]])/3486784401 + 
  (29320806400*f[a[1]*a[2]*a[3]]*f[a[1]^2*b[1]*c[1]]*
     f[a[3]*b[2]*c[1]])/31381059609 + 
  (90767360*f[a[4]]*f[a[1]^2*b[1]*c[1]]*f[a[3]*b[2]*c[1]])/387420489 - 
  (2779709440*f[a[1]^2*a[4]]*f[a[1]^2*b[1]*c[1]]*f[a[3]*b[2]*c[1]])/
   3486784401 - (3192012800*f[a[6]]*f[a[1]^2*b[1]*c[1]]*
     f[a[3]*b[2]*c[1]])/31381059609 + 
  (20971520*f[a[1]*a[2]]*f[a[1]^3*b[1]*c[1]]*f[a[3]*b[2]*c[1]])/
   129140163 - (482344960*f[a[1]^3*a[2]]*f[a[1]^3*b[1]*c[1]]*
     f[a[3]*b[2]*c[1]])/387420489 - 
  (4383047680*f[a[2]*a[3]]*f[a[1]^3*b[1]*c[1]]*f[a[3]*b[2]*c[1]])/
   10460353203 + (1426063360*f[a[1]*a[4]]*f[a[1]^3*b[1]*c[1]]*
     f[a[3]*b[2]*c[1]])/3486784401 - 
  (4505600*f[a[2]]*f[a[1]^4*b[1]*c[1]]*f[a[3]*b[2]*c[1]])/387420489 + 
  (4468490240*f[a[1]^2*a[2]]*f[a[1]^4*b[1]*c[1]]*f[a[3]*b[2]*c[1]])/
   10460353203 - (949760573440*f[a[1]^4*a[2]]*f[a[1]^4*b[1]*c[1]]*
     f[a[3]*b[2]*c[1]])/282429536481 + 
  (257985904640*f[a[2]^3]*f[a[1]^4*b[1]*c[1]]*f[a[3]*b[2]*c[1]])/
   282429536481 - (282205880320*f[a[1]*a[2]*a[3]]*f[a[1]^4*b[1]*c[1]]*
     f[a[3]*b[2]*c[1]])/282429536481 - 
  (168755200*f[a[4]]*f[a[1]^4*b[1]*c[1]]*f[a[3]*b[2]*c[1]])/
   1162261467 + (10235740160*f[a[1]^2*a[4]]*f[a[1]^4*b[1]*c[1]]*
     f[a[3]*b[2]*c[1]])/10460353203 + 
  (18909184000*f[a[6]]*f[a[1]^4*b[1]*c[1]]*f[a[3]*b[2]*c[1]])/
   282429536481 + (409600*f[1]*f[a[2]*b[1]*c[1]]*f[a[3]*b[2]*c[1]])/
   531441 - (3522560*f[a[1]^2]*f[a[2]*b[1]*c[1]]*f[a[3]*b[2]*c[1]])/
   43046721 + (4505600*f[a[1]^4]*f[a[2]*b[1]*c[1]]*f[a[3]*b[2]*c[1]])/
   387420489 + (71680000*f[a[1]^6]*f[a[2]*b[1]*c[1]]*
     f[a[3]*b[2]*c[1]])/3486784401 + 
  (220364800*f[a[2]^2]*f[a[2]*b[1]*c[1]]*f[a[3]*b[2]*c[1]])/129140163 - 
  (3237314560*f[a[1]^2*a[2]^2]*f[a[2]*b[1]*c[1]]*f[a[3]*b[2]*c[1]])/
   10460353203 - (665845760*f[a[1]*a[3]]*f[a[2]*b[1]*c[1]]*
     f[a[3]*b[2]*c[1]])/1162261467 + 
  (3580887040*f[a[1]^3*a[3]]*f[a[2]*b[1]*c[1]]*f[a[3]*b[2]*c[1]])/
   10460353203 - (8793702400*f[a[3]^2]*f[a[2]*b[1]*c[1]]*
     f[a[3]*b[2]*c[1]])/3486784401 + 
  (3690987520*f[a[2]*a[4]]*f[a[2]*b[1]*c[1]]*f[a[3]*b[2]*c[1]])/
   3486784401 - (760217600*f[a[1]*a[5]]*f[a[2]*b[1]*c[1]]*
     f[a[3]*b[2]*c[1]])/10460353203 + 
  (20971520*f[a[1]]*f[a[1]*a[2]*b[1]*c[1]]*f[a[3]*b[2]*c[1]])/
   43046721 - (20971520*f[a[1]^3]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[3]*b[2]*c[1]])/129140163 + 
  (524288000*f[a[1]^5]*f[a[1]*a[2]*b[1]*c[1]]*f[a[3]*b[2]*c[1]])/
   10460353203 + (14638120960*f[a[1]*a[2]^2]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[3]*b[2]*c[1]])/10460353203 - 
  (21181235200*f[a[1]^2*a[3]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[3]*b[2]*c[1]])/31381059609 + 
  (209715200*f[a[5]]*f[a[1]*a[2]*b[1]*c[1]]*f[a[3]*b[2]*c[1]])/
   10460353203 - (2048000*f[1]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[3]*b[2]*c[1]])/14348907 + 
  (81182720*f[a[1]^2]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[3]*b[2]*c[1]])/
   129140163 - (4468490240*f[a[1]^4]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[3]*b[2]*c[1]])/10460353203 + 
  (21661696000*f[a[1]^6]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[3]*b[2]*c[1]])/
   94143178827 + (1392148480*f[a[2]^2]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[3]*b[2]*c[1]])/10460353203 + 
  (1794648473600*f[a[1]^2*a[2]^2]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[3]*b[2]*c[1]])/847288609443 + 
  (3203399680*f[a[1]*a[3]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[3]*b[2]*c[1]])/
   31381059609 - (118053928960*f[a[1]^3*a[3]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[3]*b[2]*c[1]])/94143178827 + 
  (43339366400*f[a[3]^2]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[3]*b[2]*c[1]])/
   94143178827 - (313733939200*f[a[2]*a[4]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[3]*b[2]*c[1]])/847288609443 + 
  (34262220800*f[a[1]*a[5]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[3]*b[2]*c[1]])/847288609443 - 
  (220364800*f[a[2]]*f[a[2]^2*b[1]*c[1]]*f[a[3]*b[2]*c[1]])/129140163 - 
  (1392148480*f[a[1]^2*a[2]]*f[a[2]^2*b[1]*c[1]]*f[a[3]*b[2]*c[1]])/
   10460353203 + (30448844800*f[a[1]^4*a[2]]*f[a[2]^2*b[1]*c[1]]*
     f[a[3]*b[2]*c[1]])/94143178827 - 
  (59416576000*f[a[2]^3]*f[a[2]^2*b[1]*c[1]]*f[a[3]*b[2]*c[1]])/
   10460353203 + (186851000320*f[a[1]*a[2]*a[3]]*f[a[2]^2*b[1]*c[1]]*
     f[a[3]*b[2]*c[1]])/282429536481 - 
  (413532160*f[a[4]]*f[a[2]^2*b[1]*c[1]]*f[a[3]*b[2]*c[1]])/
   10460353203 - (383028428800*f[a[1]^2*a[4]]*f[a[2]^2*b[1]*c[1]]*
     f[a[3]*b[2]*c[1]])/847288609443 - 
  (7230423040*f[a[6]]*f[a[2]^2*b[1]*c[1]]*f[a[3]*b[2]*c[1]])/
   282429536481 + (665845760*f[a[2]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[3]*b[2]*c[1]])/1162261467 - 
  (3203399680*f[a[1]^2*a[2]]*f[a[1]*a[3]*b[1]*c[1]]*f[a[3]*b[2]*c[1]])/
   31381059609 + (15387852800*f[a[1]^4*a[2]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[3]*b[2]*c[1]])/282429536481 - 
  (133682954240*f[a[2]^3]*f[a[1]*a[3]*b[1]*c[1]]*f[a[3]*b[2]*c[1]])/
   94143178827 - (209715200*f[a[1]*a[2]*a[3]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[3]*b[2]*c[1]])/10460353203 - 
  (5683281920*f[a[4]]*f[a[1]*a[3]*b[1]*c[1]]*f[a[3]*b[2]*c[1]])/
   10460353203 + (27913093120*f[a[1]^2*a[4]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[3]*b[2]*c[1]])/282429536481 + 
  (3266314240*f[a[6]]*f[a[1]*a[3]*b[1]*c[1]]*f[a[3]*b[2]*c[1]])/
   10460353203 + (16056320*f[1]*f[a[4]*b[1]*c[1]]*f[a[3]*b[2]*c[1]])/
   14348907 - (90767360*f[a[1]^2]*f[a[4]*b[1]*c[1]]*f[a[3]*b[2]*c[1]])/
   387420489 + (168755200*f[a[1]^4]*f[a[4]*b[1]*c[1]]*
     f[a[3]*b[2]*c[1]])/1162261467 - 
  (13967360000*f[a[1]^6]*f[a[4]*b[1]*c[1]]*f[a[3]*b[2]*c[1]])/
   94143178827 + (413532160*f[a[2]^2]*f[a[4]*b[1]*c[1]]*
     f[a[3]*b[2]*c[1]])/10460353203 - 
  (2885550080*f[a[1]^2*a[2]^2]*f[a[4]*b[1]*c[1]]*f[a[3]*b[2]*c[1]])/
   282429536481 + (5683281920*f[a[1]*a[3]]*f[a[4]*b[1]*c[1]]*
     f[a[3]*b[2]*c[1]])/10460353203 - 
  (29423042560*f[a[1]^3*a[3]]*f[a[4]*b[1]*c[1]]*f[a[3]*b[2]*c[1]])/
   94143178827 - (344713134080*f[a[3]^2]*f[a[4]*b[1]*c[1]]*
     f[a[3]*b[2]*c[1]])/94143178827 + 
  (14763950080*f[a[2]*a[4]]*f[a[4]*b[1]*c[1]]*f[a[3]*b[2]*c[1]])/
   10460353203 - (31352422400*f[a[1]*a[5]]*f[a[4]*b[1]*c[1]]*
     f[a[3]*b[2]*c[1]])/847288609443 - 
  (204800*f[a[1]]*f[b[2]*c[1]]*f[a[3]*b[2]*c[1]])/1594323 + 
  (1024000*f[a[1]^3]*f[b[2]*c[1]]*f[a[3]*b[2]*c[1]])/14348907 - 
  (25600000*f[a[1]^5]*f[b[2]*c[1]]*f[a[3]*b[2]*c[1]])/387420489 - 
  (5324800*f[a[1]*a[2]^2]*f[b[2]*c[1]]*f[a[3]*b[2]*c[1]])/387420489 + 
  (131686400*f[a[3]]*f[b[2]*c[1]]*f[a[3]*b[2]*c[1]])/43046721 - 
  (697753600*f[a[1]^2*a[3]]*f[b[2]*c[1]]*f[a[3]*b[2]*c[1]])/
   1162261467 - (48128000*f[a[5]]*f[b[2]*c[1]]*f[a[3]*b[2]*c[1]])/
   387420489 - (204800*f[a[1]*b[1]*c[1]]*f[b[2]*c[1]]*
     f[a[3]*b[2]*c[1]])/1594323 + 
  (1024000*f[a[1]^3*b[1]*c[1]]*f[b[2]*c[1]]*f[a[3]*b[2]*c[1]])/
   14348907 + (131686400*f[a[3]*b[1]*c[1]]*f[b[2]*c[1]]*
     f[a[3]*b[2]*c[1]])/43046721 - 
  (204800*f[1]*f[a[1]*b[2]*c[1]]*f[a[3]*b[2]*c[1]])/1594323 - 
  (204800*f[a[1]^2]*f[a[1]*b[2]*c[1]]*f[a[3]*b[2]*c[1]])/1594323 + 
  (60416000*f[a[1]^4]*f[a[1]*b[2]*c[1]]*f[a[3]*b[2]*c[1]])/387420489 - 
  (2329600000*f[a[1]^6]*f[a[1]*b[2]*c[1]]*f[a[3]*b[2]*c[1]])/
   10460353203 - (176537600*f[a[2]^2]*f[a[1]*b[2]*c[1]]*
     f[a[3]*b[2]*c[1]])/129140163 + 
  (2477670400*f[a[1]^2*a[2]^2]*f[a[1]*b[2]*c[1]]*f[a[3]*b[2]*c[1]])/
   10460353203 + (2097152000*f[a[1]*a[3]]*f[a[1]*b[2]*c[1]]*
     f[a[3]*b[2]*c[1]])/1162261467 - 
  (11114905600*f[a[1]^3*a[3]]*f[a[1]*b[2]*c[1]]*f[a[3]*b[2]*c[1]])/
   10460353203 - (204800*f[a[3]^2]*f[a[1]*b[2]*c[1]]*
     f[a[3]*b[2]*c[1]])/531441 - 
  (20971520000*f[a[2]*a[4]]*f[a[1]*b[2]*c[1]]*f[a[3]*b[2]*c[1]])/
   31381059609 - (2097152000*f[a[1]*a[5]]*f[a[1]*b[2]*c[1]]*
     f[a[3]*b[2]*c[1]])/31381059609 - 
  (204800*f[b[1]*c[1]]*f[a[1]*b[2]*c[1]]*f[a[3]*b[2]*c[1]])/1594323 - 
  (204800*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*f[a[3]*b[2]*c[1]])/
   1594323 + (60416000*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*
     f[a[3]*b[2]*c[1]])/387420489 - 
  (176537600*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*f[a[3]*b[2]*c[1]])/
   129140163 + (2097152000*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*
     f[a[3]*b[2]*c[1]])/1162261467 - 
  (204800*f[a[1]]*f[a[1]^2*b[2]*c[1]]*f[a[3]*b[2]*c[1]])/1594323 - 
  (77209600*f[a[1]^3]*f[a[1]^2*b[2]*c[1]]*f[a[3]*b[2]*c[1]])/
   387420489 + (4551680000*f[a[1]^5]*f[a[1]^2*b[2]*c[1]]*
     f[a[3]*b[2]*c[1]])/10460353203 - 
  (52440678400*f[a[1]*a[2]^2]*f[a[1]^2*b[2]*c[1]]*f[a[3]*b[2]*c[1]])/
   31381059609 - (638771200*f[a[3]]*f[a[1]^2*b[2]*c[1]]*
     f[a[3]*b[2]*c[1]])/1162261467 + 
  (23394918400*f[a[1]^2*a[3]]*f[a[1]^2*b[2]*c[1]]*f[a[3]*b[2]*c[1]])/
   10460353203 + (295936000*f[a[5]]*f[a[1]^2*b[2]*c[1]]*
     f[a[3]*b[2]*c[1]])/31381059609 - 
  (204800*f[a[1]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*f[a[3]*b[2]*c[1]])/
   1594323 - (77209600*f[a[1]^3*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*
     f[a[3]*b[2]*c[1]])/387420489 - 
  (638771200*f[a[3]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*f[a[3]*b[2]*c[1]])/
   1162261467 + (1024000*f[1]*f[a[1]^3*b[2]*c[1]]*f[a[3]*b[2]*c[1]])/
   14348907 - (77209600*f[a[1]^2]*f[a[1]^3*b[2]*c[1]]*
     f[a[3]*b[2]*c[1]])/387420489 - 
  (4471398400*f[a[1]^4]*f[a[1]^3*b[2]*c[1]]*f[a[3]*b[2]*c[1]])/
   10460353203 + (46699520000*f[a[1]^6]*f[a[1]^3*b[2]*c[1]]*
     f[a[3]*b[2]*c[1]])/31381059609 + 
  (6266470400*f[a[2]^2]*f[a[1]^3*b[2]*c[1]]*f[a[3]*b[2]*c[1]])/
   10460353203 - (298649600000*f[a[1]^2*a[2]^2]*f[a[1]^3*b[2]*c[1]]*
     f[a[3]*b[2]*c[1]])/94143178827 - 
  (10171187200*f[a[1]*a[3]]*f[a[1]^3*b[2]*c[1]]*f[a[3]*b[2]*c[1]])/
   10460353203 + (1225680486400*f[a[1]^3*a[3]]*f[a[1]^3*b[2]*c[1]]*
     f[a[3]*b[2]*c[1]])/282429536481 + 
  (6613606400*f[a[3]^2]*f[a[1]^3*b[2]*c[1]]*f[a[3]*b[2]*c[1]])/
   31381059609 + (124990259200*f[a[2]*a[4]]*f[a[1]^3*b[2]*c[1]]*
     f[a[3]*b[2]*c[1]])/282429536481 + 
  (3670016000*f[a[1]*a[5]]*f[a[1]^3*b[2]*c[1]]*f[a[3]*b[2]*c[1]])/
   282429536481 + (1024000*f[b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[3]*b[2]*c[1]])/14348907 - 
  (77209600*f[a[1]^2*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*f[a[3]*b[2]*c[1]])/
   387420489 - (4471398400*f[a[1]^4*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[3]*b[2]*c[1]])/10460353203 + 
  (6266470400*f[a[2]^2*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[3]*b[2]*c[1]])/10460353203 - 
  (10171187200*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[3]*b[2]*c[1]])/10460353203 + 
  (104857600*f[a[1]*a[2]]*f[a[2]*b[2]*c[1]]*f[a[3]*b[2]*c[1]])/
   129140163 - (524288000*f[a[1]^3*a[2]]*f[a[2]*b[2]*c[1]]*
     f[a[3]*b[2]*c[1]])/1162261467 - 
  (21915238400*f[a[2]*a[3]]*f[a[2]*b[2]*c[1]]*f[a[3]*b[2]*c[1]])/
   10460353203 + (30618419200*f[a[1]*a[4]]*f[a[2]*b[2]*c[1]]*
     f[a[3]*b[2]*c[1]])/31381059609 + 
  (104857600*f[a[1]*a[2]*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*
     f[a[3]*b[2]*c[1]])/129140163 + 
  (104857600*f[a[2]]*f[a[1]*a[2]*b[2]*c[1]]*f[a[3]*b[2]*c[1]])/
   129140163 + (27158118400*f[a[1]^2*a[2]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[3]*b[2]*c[1]])/31381059609 - 
  (295174144000*f[a[1]^4*a[2]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[3]*b[2]*c[1]])/282429536481 + 
  (142396620800*f[a[2]^3]*f[a[1]*a[2]*b[2]*c[1]]*f[a[3]*b[2]*c[1]])/
   31381059609 - (1508271718400*f[a[1]*a[2]*a[3]]*
     f[a[1]*a[2]*b[2]*c[1]]*f[a[3]*b[2]*c[1]])/847288609443 - 
  (9646899200*f[a[4]]*f[a[1]*a[2]*b[2]*c[1]]*f[a[3]*b[2]*c[1]])/
   31381059609 + (37329305600*f[a[1]^2*a[4]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[3]*b[2]*c[1]])/31381059609 + 
  (20237516800*f[a[6]]*f[a[1]*a[2]*b[2]*c[1]]*f[a[3]*b[2]*c[1]])/
   94143178827 + (104857600*f[a[2]*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[3]*b[2]*c[1]])/129140163 + 
  (27158118400*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[3]*b[2]*c[1]])/31381059609 - 
  (9646899200*f[a[4]*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[3]*b[2]*c[1]])/31381059609 + 
  (65843200*f[1]*f[a[3]*b[2]*c[1]]^2)/43046721 - 
  (319385600*f[a[1]^2]*f[a[3]*b[2]*c[1]]^2)/1162261467 + 
  (1547776000*f[a[1]^4]*f[a[3]*b[2]*c[1]]^2)/10460353203 - 
  (37465600000*f[a[1]^6]*f[a[3]*b[2]*c[1]]^2)/282429536481 - 
  (10084556800*f[a[2]^2]*f[a[3]*b[2]*c[1]]^2)/10460353203 + 
  (50678374400*f[a[1]^2*a[2]^2]*f[a[3]*b[2]*c[1]]^2)/282429536481 + 
  (104857600*f[a[1]^3*a[3]]*f[a[3]*b[2]*c[1]]^2)/31381059609 + 
  (65843200*f[a[3]^2]*f[a[3]*b[2]*c[1]]^2)/14348907 - 
  (1522112921600*f[a[2]*a[4]]*f[a[3]*b[2]*c[1]]^2)/847288609443 - 
  (130023424000*f[a[1]*a[5]]*f[a[3]*b[2]*c[1]]^2)/847288609443 + 
  (65843200*f[b[1]*c[1]]*f[a[3]*b[2]*c[1]]^2)/43046721 - 
  (319385600*f[a[1]^2*b[1]*c[1]]*f[a[3]*b[2]*c[1]]^2)/1162261467 + 
  (1547776000*f[a[1]^4*b[1]*c[1]]*f[a[3]*b[2]*c[1]]^2)/10460353203 - 
  (10084556800*f[a[2]^2*b[1]*c[1]]*f[a[3]*b[2]*c[1]]^2)/10460353203 - 
  (80*f[1]^2*f[b[3]*c[1]])/81 - (1280*f[a[1]]^2*f[b[3]*c[1]])/2187 + 
  (800*f[1]*f[a[1]^2]*f[b[3]*c[1]])/2187 - 
  (14320*f[a[1]^2]^2*f[b[3]*c[1]])/19683 + 
  (12800*f[a[1]]*f[a[1]^3]*f[b[3]*c[1]])/19683 - 
  (751360*f[a[1]^3]^2*f[b[3]*c[1]])/531441 - 
  (4000*f[1]*f[a[1]^4]*f[b[3]*c[1]])/19683 + 
  (839200*f[a[1]^2]*f[a[1]^4]*f[b[3]*c[1]])/531441 - 
  (54381040*f[a[1]^4]^2*f[b[3]*c[1]])/14348907 - 
  (320000*f[a[1]]*f[a[1]^5]*f[b[3]*c[1]])/531441 + 
  (70336000*f[a[1]^3]*f[a[1]^5]*f[b[3]*c[1]])/14348907 - 
  (1684614400*f[a[1]^5]^2*f[b[3]*c[1]])/129140163 + 
  (100000*f[1]*f[a[1]^6]*f[b[3]*c[1]])/531441 - 
  (31220000*f[a[1]^2]*f[a[1]^6]*f[b[3]*c[1]])/14348907 + 
  (267428000*f[a[1]^4]*f[a[1]^6]*f[b[3]*c[1]])/14348907 - 
  (63936210800*f[a[1]^6]^2*f[b[3]*c[1]])/1162261467 + 
  (20480*f[a[2]]^2*f[b[3]*c[1]])/19683 + 
  (1310720*f[a[1]*a[2]]^2*f[b[3]*c[1]])/1594323 - 
  (204800*f[a[2]]*f[a[1]^2*a[2]]*f[b[3]*c[1]])/531441 + 
  (53964800*f[a[1]^2*a[2]]^2*f[b[3]*c[1]])/43046721 - 
  (13107200*f[a[1]*a[2]]*f[a[1]^3*a[2]]*f[b[3]*c[1]])/14348907 + 
  (368312320*f[a[1]^3*a[2]]^2*f[b[3]*c[1]])/129140163 + 
  (1024000*f[a[2]]*f[a[1]^4*a[2]]*f[b[3]*c[1]])/4782969 - 
  (1063936000*f[a[1]^2*a[2]]*f[a[1]^4*a[2]]*f[b[3]*c[1]])/387420489 + 
  (91005767680*f[a[1]^4*a[2]]^2*f[b[3]*c[1]])/10460353203 - 
  (4160*f[1]*f[a[2]^2]*f[b[3]*c[1]])/19683 - 
  (1248320*f[a[1]^2]*f[a[2]^2]*f[b[3]*c[1]])/1594323 + 
  (12795200*f[a[1]^4]*f[a[2]^2]*f[b[3]*c[1]])/14348907 - 
  (161240000*f[a[1]^6]*f[a[2]^2]*f[b[3]*c[1]])/129140163 - 
  (3513280*f[a[2]^2]^2*f[b[3]*c[1]])/1594323 - 
  (66560*f[a[1]]*f[a[1]*a[2]^2]*f[b[3]*c[1]])/531441 - 
  (19973120*f[a[1]^3]*f[a[1]*a[2]^2]*f[b[3]*c[1]])/14348907 + 
  (1023616000*f[a[1]^5]*f[a[1]*a[2]^2]*f[b[3]*c[1]])/387420489 - 
  (841456640*f[a[1]*a[2]^2]^2*f[b[3]*c[1]])/387420489 + 
  (20800*f[1]*f[a[1]^2*a[2]^2]*f[b[3]*c[1]])/531441 - 
  (148160*f[a[1]^2]*f[a[1]^2*a[2]^2]*f[b[3]*c[1]])/43046721 - 
  (149139520*f[a[1]^4]*f[a[1]^2*a[2]^2]*f[b[3]*c[1]])/43046721 + 
  (11187304000*f[a[1]^6]*f[a[1]^2*a[2]^2]*f[b[3]*c[1]])/1162261467 + 
  (282116480*f[a[2]^2]*f[a[1]^2*a[2]^2]*f[b[3]*c[1]])/387420489 - 
  (120221084480*f[a[1]^2*a[2]^2]^2*f[b[3]*c[1]])/31381059609 + 
  (1064960*f[a[2]]*f[a[2]^3]*f[b[3]*c[1]])/1594323 + 
  (319569920*f[a[1]^2*a[2]]*f[a[2]^3]*f[b[3]*c[1]])/129140163 - 
  (3275571200*f[a[1]^4*a[2]]*f[a[2]^3]*f[b[3]*c[1]])/1162261467 + 
  (2725888000*f[a[2]^3]^2*f[b[3]*c[1]])/387420489 + 
  (2560*f[a[1]]*f[a[3]]*f[b[3]*c[1]])/19683 - 
  (12800*f[a[1]^3]*f[a[3]]*f[b[3]*c[1]])/177147 + 
  (320000*f[a[1]^5]*f[a[3]]*f[b[3]*c[1]])/4782969 + 
  (66560*f[a[1]*a[2]^2]*f[a[3]]*f[b[3]*c[1]])/4782969 - 
  (823040*f[a[3]]^2*f[b[3]*c[1]])/531441 - 
  (5120*f[1]*f[a[1]*a[3]]*f[b[3]*c[1]])/19683 + 
  (35840*f[a[1]^2]*f[a[1]*a[3]]*f[b[3]*c[1]])/177147 - 
  (947200*f[a[1]^4]*f[a[1]*a[3]]*f[b[3]*c[1]])/4782969 + 
  (33920000*f[a[1]^6]*f[a[1]*a[3]]*f[b[3]*c[1]])/129140163 - 
  (6686720*f[a[2]^2]*f[a[1]*a[3]]*f[b[3]*c[1]])/4782969 + 
  (35563520*f[a[1]^2*a[2]^2]*f[a[1]*a[3]]*f[b[3]*c[1]])/129140163 - 
  (13475840*f[a[1]*a[3]]^2*f[b[3]*c[1]])/14348907 - 
  (58880*f[a[1]]*f[a[1]^2*a[3]]*f[b[3]*c[1]])/177147 + 
  (2193920*f[a[1]^3]*f[a[1]^2*a[3]]*f[b[3]*c[1]])/4782969 - 
  (87616000*f[a[1]^5]*f[a[1]^2*a[3]]*f[b[3]*c[1]])/129140163 - 
  (621952000*f[a[1]*a[2]^2]*f[a[1]^2*a[3]]*f[b[3]*c[1]])/387420489 + 
  (8721920*f[a[3]]*f[a[1]^2*a[3]]*f[b[3]*c[1]])/14348907 - 
  (154696960*f[a[1]^2*a[3]]^2*f[b[3]*c[1]])/129140163 + 
  (25600*f[1]*f[a[1]^3*a[3]]*f[b[3]*c[1]])/177147 - 
  (3159040*f[a[1]^2]*f[a[1]^3*a[3]]*f[b[3]*c[1]])/4782969 + 
  (176737280*f[a[1]^4]*f[a[1]^3*a[3]]*f[b[3]*c[1]])/129140163 - 
  (361088000*f[a[1]^6]*f[a[1]^3*a[3]]*f[b[3]*c[1]])/129140163 + 
  (58357760*f[a[2]^2]*f[a[1]^3*a[3]]*f[b[3]*c[1]])/129140163 - 
  (3307816960*f[a[1]^2*a[2]^2]*f[a[1]^3*a[3]]*f[b[3]*c[1]])/
   1162261467 + (142622720*f[a[1]*a[3]]*f[a[1]^3*a[3]]*f[b[3]*c[1]])/
   129140163 - (8342855680*f[a[1]^3*a[3]]^2*f[b[3]*c[1]])/3486784401 + 
  (2621440*f[a[1]*a[2]]*f[a[2]*a[3]]*f[b[3]*c[1]])/4782969 - 
  (13107200*f[a[1]^3*a[2]]*f[a[2]*a[3]]*f[b[3]*c[1]])/43046721 + 
  (284426240*f[a[2]*a[3]]^2*f[b[3]*c[1]])/129140163 + 
  (1310720*f[a[2]]*f[a[1]*a[2]*a[3]]*f[b[3]*c[1]])/4782969 + 
  (211025920*f[a[1]^2*a[2]]*f[a[1]*a[2]*a[3]]*f[b[3]*c[1]])/387420489 - 
  (2208563200*f[a[1]^4*a[2]]*f[a[1]*a[2]*a[3]]*f[b[3]*c[1]])/
   3486784401 + (1711800320*f[a[2]^3]*f[a[1]*a[2]*a[3]]*f[b[3]*c[1]])/
   387420489 + (16787701760*f[a[1]*a[2]*a[3]]^2*f[b[3]*c[1]])/
   10460353203 + (142880*f[1]*f[a[3]^2]*f[b[3]*c[1]])/531441 - 
  (960160*f[a[1]^2]*f[a[3]^2]*f[b[3]*c[1]])/14348907 + 
  (6029600*f[a[1]^4]*f[a[3]^2]*f[b[3]*c[1]])/129140163 - 
  (181460000*f[a[1]^6]*f[a[3]^2]*f[b[3]*c[1]])/3486784401 - 
  (291197120*f[a[2]^2]*f[a[3]^2]*f[b[3]*c[1]])/129140163 + 
  (1449595840*f[a[1]^2*a[2]^2]*f[a[3]^2]*f[b[3]*c[1]])/3486784401 + 
  (19082240*f[a[1]*a[3]]*f[a[3]^2]*f[b[3]*c[1]])/43046721 - 
  (98032640*f[a[1]^3*a[3]]*f[a[3]^2]*f[b[3]*c[1]])/387420489 - 
  (5666222320*f[a[3]^2]^2*f[b[3]*c[1]])/1162261467 - 
  (163840*f[a[2]]*f[a[4]]*f[b[3]*c[1]])/1594323 + 
  (819200*f[a[1]^2*a[2]]*f[a[4]]*f[b[3]*c[1]])/43046721 - 
  (4096000*f[a[1]^4*a[2]]*f[a[4]]*f[b[3]*c[1]])/387420489 - 
  (4259840*f[a[2]^3]*f[a[4]]*f[b[3]*c[1]])/129140163 - 
  (5242880*f[a[1]*a[2]*a[3]]*f[a[4]]*f[b[3]*c[1]])/387420489 + 
  (29163520*f[a[4]]^2*f[b[3]*c[1]])/14348907 - 
  (10485760*f[a[1]*a[2]]*f[a[1]*a[4]]*f[b[3]*c[1]])/43046721 + 
  (52428800*f[a[1]^3*a[2]]*f[a[1]*a[4]]*f[b[3]*c[1]])/387420489 + 
  (387973120*f[a[2]*a[3]]*f[a[1]*a[4]]*f[b[3]*c[1]])/387420489 + 
  (482344960*f[a[1]*a[4]]^2*f[b[3]*c[1]])/387420489 + 
  (819200*f[a[2]]*f[a[1]^2*a[4]]*f[b[3]*c[1]])/43046721 - 
  (65699840*f[a[1]^2*a[2]]*f[a[1]^2*a[4]]*f[b[3]*c[1]])/129140163 + 
  (5892505600*f[a[1]^4*a[2]]*f[a[1]^2*a[4]]*f[b[3]*c[1]])/10460353203 - 
  (1278279680*f[a[2]^3]*f[a[1]^2*a[4]]*f[b[3]*c[1]])/10460353203 + 
  (1410334720*f[a[1]*a[2]*a[3]]*f[a[1]^2*a[4]]*f[b[3]*c[1]])/
   1162261467 - (291635200*f[a[4]]*f[a[1]^2*a[4]]*f[b[3]*c[1]])/
   387420489 + (5555814400*f[a[1]^2*a[4]]^2*f[b[3]*c[1]])/3486784401 + 
  (327680*f[1]*f[a[2]*a[4]]*f[b[3]*c[1]])/1594323 + 
  (14090240*f[a[1]^2]*f[a[2]*a[4]]*f[b[3]*c[1]])/43046721 - 
  (149094400*f[a[1]^4]*f[a[2]*a[4]]*f[b[3]*c[1]])/387420489 + 
  (5693440000*f[a[1]^6]*f[a[2]*a[4]]*f[b[3]*c[1]])/10460353203 + 
  (30801920*f[a[2]^2]*f[a[2]*a[4]]*f[b[3]*c[1]])/129140163 - 
  (655360*f[a[1]^2*a[2]^2]*f[a[2]*a[4]]*f[b[3]*c[1]])/129140163 - 
  (256901120*f[a[1]*a[3]]*f[a[2]*a[4]]*f[b[3]*c[1]])/387420489 + 
  (1787822080*f[a[1]^3*a[3]]*f[a[2]*a[4]]*f[b[3]*c[1]])/3486784401 - 
  (34974269440*f[a[3]^2]*f[a[2]*a[4]]*f[b[3]*c[1]])/10460353203 - 
  (67612180480*f[a[2]*a[4]]^2*f[b[3]*c[1]])/31381059609 - 
  (166400*f[a[1]]*f[a[5]]*f[b[3]*c[1]])/1594323 + 
  (832000*f[a[1]^3]*f[a[5]]*f[b[3]*c[1]])/14348907 - 
  (20800000*f[a[1]^5]*f[a[5]]*f[b[3]*c[1]])/387420489 - 
  (4326400*f[a[1]*a[2]^2]*f[a[5]]*f[b[3]*c[1]])/387420489 + 
  (601600*f[a[3]]*f[a[5]]*f[b[3]*c[1]])/4782969 - 
  (19673600*f[a[1]^2*a[3]]*f[a[5]]*f[b[3]*c[1]])/387420489 - 
  (327097600*f[a[5]]^2*f[b[3]*c[1]])/129140163 + 
  (332800*f[1]*f[a[1]*a[5]]*f[b[3]*c[1]])/1594323 - 
  (2329600*f[a[1]^2]*f[a[1]*a[5]]*f[b[3]*c[1]])/14348907 + 
  (61568000*f[a[1]^4]*f[a[1]*a[5]]*f[b[3]*c[1]])/387420489 - 
  (2204800000*f[a[1]^6]*f[a[1]*a[5]]*f[b[3]*c[1]])/10460353203 + 
  (224921600*f[a[2]^2]*f[a[1]*a[5]]*f[b[3]*c[1]])/387420489 - 
  (140339200*f[a[1]^2*a[2]^2]*f[a[1]*a[5]]*f[b[3]*c[1]])/1162261467 + 
  (42188800*f[a[1]*a[3]]*f[a[1]*a[5]]*f[b[3]*c[1]])/387420489 - 
  (381337600*f[a[1]^3*a[3]]*f[a[1]*a[5]]*f[b[3]*c[1]])/3486784401 - 
  (470451200*f[a[3]^2]*f[a[1]*a[5]]*f[b[3]*c[1]])/10460353203 - 
  (44538265600*f[a[2]*a[4]]*f[a[1]*a[5]]*f[b[3]*c[1]])/31381059609 - 
  (47534694400*f[a[1]*a[5]]^2*f[b[3]*c[1]])/31381059609 + 
  (450560*f[a[2]]*f[a[6]]*f[b[3]*c[1]])/4782969 - 
  (2252800*f[a[1]^2*a[2]]*f[a[6]]*f[b[3]*c[1]])/129140163 + 
  (11264000*f[a[1]^4*a[2]]*f[a[6]]*f[b[3]*c[1]])/1162261467 + 
  (11714560*f[a[2]^3]*f[a[6]]*f[b[3]*c[1]])/387420489 + 
  (14417920*f[a[1]*a[2]*a[3]]*f[a[6]]*f[b[3]*c[1]])/1162261467 - 
  (14581760*f[a[4]]*f[a[6]]*f[b[3]*c[1]])/129140163 + 
  (72908800*f[a[1]^2*a[4]]*f[a[6]]*f[b[3]*c[1]])/3486784401 + 
  (10535137280*f[a[6]]^2*f[b[3]*c[1]])/3486784401 - 
  (800*f[1]*f[b[1]*c[1]]*f[b[3]*c[1]])/729 + 
  (4000*f[a[1]^2]*f[b[1]*c[1]]*f[b[3]*c[1]])/19683 - 
  (20000*f[a[1]^4]*f[b[1]*c[1]]*f[b[3]*c[1]])/177147 + 
  (500000*f[a[1]^6]*f[b[1]*c[1]]*f[b[3]*c[1]])/4782969 - 
  (20800*f[a[2]^2]*f[b[1]*c[1]]*f[b[3]*c[1]])/177147 + 
  (104000*f[a[1]^2*a[2]^2]*f[b[1]*c[1]]*f[b[3]*c[1]])/4782969 - 
  (25600*f[a[1]*a[3]]*f[b[1]*c[1]]*f[b[3]*c[1]])/177147 + 
  (128000*f[a[1]^3*a[3]]*f[b[1]*c[1]]*f[b[3]*c[1]])/1594323 + 
  (714400*f[a[3]^2]*f[b[1]*c[1]]*f[b[3]*c[1]])/4782969 + 
  (1638400*f[a[2]*a[4]]*f[b[1]*c[1]]*f[b[3]*c[1]])/14348907 + 
  (1664000*f[a[1]*a[5]]*f[b[1]*c[1]]*f[b[3]*c[1]])/14348907 - 
  (80*f[b[1]*c[1]]^2*f[b[3]*c[1]])/729 - 
  (12800*f[a[1]]*f[a[1]*b[1]*c[1]]*f[b[3]*c[1]])/19683 + 
  (64000*f[a[1]^3]*f[a[1]*b[1]*c[1]]*f[b[3]*c[1]])/177147 - 
  (1600000*f[a[1]^5]*f[a[1]*b[1]*c[1]]*f[b[3]*c[1]])/4782969 - 
  (332800*f[a[1]*a[2]^2]*f[a[1]*b[1]*c[1]]*f[b[3]*c[1]])/4782969 + 
  (12800*f[a[3]]*f[a[1]*b[1]*c[1]]*f[b[3]*c[1]])/177147 - 
  (294400*f[a[1]^2*a[3]]*f[a[1]*b[1]*c[1]]*f[b[3]*c[1]])/1594323 - 
  (832000*f[a[5]]*f[a[1]*b[1]*c[1]]*f[b[3]*c[1]])/14348907 - 
  (1280*f[a[1]*b[1]*c[1]]^2*f[b[3]*c[1]])/19683 + 
  (4000*f[1]*f[a[1]^2*b[1]*c[1]]*f[b[3]*c[1]])/19683 - 
  (143200*f[a[1]^2]*f[a[1]^2*b[1]*c[1]]*f[b[3]*c[1]])/177147 + 
  (4196000*f[a[1]^4]*f[a[1]^2*b[1]*c[1]]*f[b[3]*c[1]])/4782969 - 
  (156100000*f[a[1]^6]*f[a[1]^2*b[1]*c[1]]*f[b[3]*c[1]])/129140163 - 
  (6241600*f[a[2]^2]*f[a[1]^2*b[1]*c[1]]*f[b[3]*c[1]])/14348907 - 
  (740800*f[a[1]^2*a[2]^2]*f[a[1]^2*b[1]*c[1]]*f[b[3]*c[1]])/
   387420489 + (179200*f[a[1]*a[3]]*f[a[1]^2*b[1]*c[1]]*f[b[3]*c[1]])/
   1594323 - (15795200*f[a[1]^3*a[3]]*f[a[1]^2*b[1]*c[1]]*
     f[b[3]*c[1]])/43046721 - 
  (4800800*f[a[3]^2]*f[a[1]^2*b[1]*c[1]]*f[b[3]*c[1]])/129140163 + 
  (70451200*f[a[2]*a[4]]*f[a[1]^2*b[1]*c[1]]*f[b[3]*c[1]])/387420489 - 
  (11648000*f[a[1]*a[5]]*f[a[1]^2*b[1]*c[1]]*f[b[3]*c[1]])/129140163 + 
  (800*f[b[1]*c[1]]*f[a[1]^2*b[1]*c[1]]*f[b[3]*c[1]])/19683 - 
  (14320*f[a[1]^2*b[1]*c[1]]^2*f[b[3]*c[1]])/177147 + 
  (64000*f[a[1]]*f[a[1]^3*b[1]*c[1]]*f[b[3]*c[1]])/177147 - 
  (7513600*f[a[1]^3]*f[a[1]^3*b[1]*c[1]]*f[b[3]*c[1]])/4782969 + 
  (351680000*f[a[1]^5]*f[a[1]^3*b[1]*c[1]]*f[b[3]*c[1]])/129140163 - 
  (99865600*f[a[1]*a[2]^2]*f[a[1]^3*b[1]*c[1]]*f[b[3]*c[1]])/
   129140163 - (64000*f[a[3]]*f[a[1]^3*b[1]*c[1]]*f[b[3]*c[1]])/
   1594323 + (10969600*f[a[1]^2*a[3]]*f[a[1]^3*b[1]*c[1]]*
     f[b[3]*c[1]])/43046721 + 
  (4160000*f[a[5]]*f[a[1]^3*b[1]*c[1]]*f[b[3]*c[1]])/129140163 + 
  (12800*f[a[1]*b[1]*c[1]]*f[a[1]^3*b[1]*c[1]]*f[b[3]*c[1]])/177147 - 
  (751360*f[a[1]^3*b[1]*c[1]]^2*f[b[3]*c[1]])/4782969 - 
  (20000*f[1]*f[a[1]^4*b[1]*c[1]]*f[b[3]*c[1]])/177147 + 
  (4196000*f[a[1]^2]*f[a[1]^4*b[1]*c[1]]*f[b[3]*c[1]])/4782969 - 
  (543810400*f[a[1]^4]*f[a[1]^4*b[1]*c[1]]*f[b[3]*c[1]])/129140163 + 
  (1337140000*f[a[1]^6]*f[a[1]^4*b[1]*c[1]]*f[b[3]*c[1]])/129140163 + 
  (63976000*f[a[2]^2]*f[a[1]^4*b[1]*c[1]]*f[b[3]*c[1]])/129140163 - 
  (745697600*f[a[1]^2*a[2]^2]*f[a[1]^4*b[1]*c[1]]*f[b[3]*c[1]])/
   387420489 - (4736000*f[a[1]*a[3]]*f[a[1]^4*b[1]*c[1]]*f[b[3]*c[1]])/
   43046721 + (883686400*f[a[1]^3*a[3]]*f[a[1]^4*b[1]*c[1]]*
     f[b[3]*c[1]])/1162261467 + 
  (30148000*f[a[3]^2]*f[a[1]^4*b[1]*c[1]]*f[b[3]*c[1]])/1162261467 - 
  (745472000*f[a[2]*a[4]]*f[a[1]^4*b[1]*c[1]]*f[b[3]*c[1]])/
   3486784401 + (307840000*f[a[1]*a[5]]*f[a[1]^4*b[1]*c[1]]*
     f[b[3]*c[1]])/3486784401 - 
  (4000*f[b[1]*c[1]]*f[a[1]^4*b[1]*c[1]]*f[b[3]*c[1]])/177147 + 
  (839200*f[a[1]^2*b[1]*c[1]]*f[a[1]^4*b[1]*c[1]]*f[b[3]*c[1]])/
   4782969 - (54381040*f[a[1]^4*b[1]*c[1]]^2*f[b[3]*c[1]])/129140163 + 
  (204800*f[a[2]]*f[a[2]*b[1]*c[1]]*f[b[3]*c[1]])/177147 - 
  (1024000*f[a[1]^2*a[2]]*f[a[2]*b[1]*c[1]]*f[b[3]*c[1]])/4782969 + 
  (5120000*f[a[1]^4*a[2]]*f[a[2]*b[1]*c[1]]*f[b[3]*c[1]])/43046721 + 
  (5324800*f[a[2]^3]*f[a[2]*b[1]*c[1]]*f[b[3]*c[1]])/14348907 + 
  (6553600*f[a[1]*a[2]*a[3]]*f[a[2]*b[1]*c[1]]*f[b[3]*c[1]])/43046721 - 
  (819200*f[a[4]]*f[a[2]*b[1]*c[1]]*f[b[3]*c[1]])/14348907 + 
  (4096000*f[a[1]^2*a[4]]*f[a[2]*b[1]*c[1]]*f[b[3]*c[1]])/387420489 + 
  (2252800*f[a[6]]*f[a[2]*b[1]*c[1]]*f[b[3]*c[1]])/43046721 + 
  (20480*f[a[2]*b[1]*c[1]]^2*f[b[3]*c[1]])/177147 + 
  (13107200*f[a[1]*a[2]]*f[a[1]*a[2]*b[1]*c[1]]*f[b[3]*c[1]])/
   14348907 - (65536000*f[a[1]^3*a[2]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[b[3]*c[1]])/129140163 + 
  (13107200*f[a[2]*a[3]]*f[a[1]*a[2]*b[1]*c[1]]*f[b[3]*c[1]])/
   43046721 - (52428800*f[a[1]*a[4]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[b[3]*c[1]])/387420489 + 
  (1310720*f[a[1]*a[2]*b[1]*c[1]]^2*f[b[3]*c[1]])/14348907 - 
  (1024000*f[a[2]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[3]*c[1]])/4782969 + 
  (539648000*f[a[1]^2*a[2]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[3]*c[1]])/
   387420489 - (5319680000*f[a[1]^4*a[2]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[b[3]*c[1]])/3486784401 + 
  (1597849600*f[a[2]^3]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[3]*c[1]])/
   1162261467 + (1055129600*f[a[1]*a[2]*a[3]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[b[3]*c[1]])/3486784401 + 
  (4096000*f[a[4]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[3]*c[1]])/387420489 - 
  (328499200*f[a[1]^2*a[4]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[3]*c[1]])/
   1162261467 - (11264000*f[a[6]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[b[3]*c[1]])/1162261467 - 
  (204800*f[a[2]*b[1]*c[1]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[3]*c[1]])/
   4782969 + (53964800*f[a[1]^2*a[2]*b[1]*c[1]]^2*f[b[3]*c[1]])/
   387420489 - (20800*f[1]*f[a[2]^2*b[1]*c[1]]*f[b[3]*c[1]])/177147 - 
  (6241600*f[a[1]^2]*f[a[2]^2*b[1]*c[1]]*f[b[3]*c[1]])/14348907 + 
  (63976000*f[a[1]^4]*f[a[2]^2*b[1]*c[1]]*f[b[3]*c[1]])/129140163 - 
  (806200000*f[a[1]^6]*f[a[2]^2*b[1]*c[1]]*f[b[3]*c[1]])/1162261467 - 
  (35132800*f[a[2]^2]*f[a[2]^2*b[1]*c[1]]*f[b[3]*c[1]])/14348907 + 
  (1410582400*f[a[1]^2*a[2]^2]*f[a[2]^2*b[1]*c[1]]*f[b[3]*c[1]])/
   3486784401 - (33433600*f[a[1]*a[3]]*f[a[2]^2*b[1]*c[1]]*
     f[b[3]*c[1]])/43046721 + 
  (291788800*f[a[1]^3*a[3]]*f[a[2]^2*b[1]*c[1]]*f[b[3]*c[1]])/
   1162261467 - (1455985600*f[a[3]^2]*f[a[2]^2*b[1]*c[1]]*
     f[b[3]*c[1]])/1162261467 + 
  (154009600*f[a[2]*a[4]]*f[a[2]^2*b[1]*c[1]]*f[b[3]*c[1]])/
   1162261467 + (1124608000*f[a[1]*a[5]]*f[a[2]^2*b[1]*c[1]]*
     f[b[3]*c[1]])/3486784401 - 
  (4160*f[b[1]*c[1]]*f[a[2]^2*b[1]*c[1]]*f[b[3]*c[1]])/177147 - 
  (1248320*f[a[1]^2*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]]*f[b[3]*c[1]])/
   14348907 + (12795200*f[a[1]^4*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]]*
     f[b[3]*c[1]])/129140163 - 
  (3513280*f[a[2]^2*b[1]*c[1]]^2*f[b[3]*c[1]])/14348907 + 
  (12800*f[a[1]]*f[a[3]*b[1]*c[1]]*f[b[3]*c[1]])/177147 - 
  (64000*f[a[1]^3]*f[a[3]*b[1]*c[1]]*f[b[3]*c[1]])/1594323 + 
  (1600000*f[a[1]^5]*f[a[3]*b[1]*c[1]]*f[b[3]*c[1]])/43046721 + 
  (332800*f[a[1]*a[2]^2]*f[a[3]*b[1]*c[1]]*f[b[3]*c[1]])/43046721 - 
  (8230400*f[a[3]]*f[a[3]*b[1]*c[1]]*f[b[3]*c[1]])/4782969 + 
  (43609600*f[a[1]^2*a[3]]*f[a[3]*b[1]*c[1]]*f[b[3]*c[1]])/129140163 + 
  (3008000*f[a[5]]*f[a[3]*b[1]*c[1]]*f[b[3]*c[1]])/43046721 + 
  (2560*f[a[1]*b[1]*c[1]]*f[a[3]*b[1]*c[1]]*f[b[3]*c[1]])/177147 - 
  (12800*f[a[1]^3*b[1]*c[1]]*f[a[3]*b[1]*c[1]]*f[b[3]*c[1]])/1594323 - 
  (823040*f[a[3]*b[1]*c[1]]^2*f[b[3]*c[1]])/4782969 - 
  (25600*f[1]*f[a[1]*a[3]*b[1]*c[1]]*f[b[3]*c[1]])/177147 + 
  (179200*f[a[1]^2]*f[a[1]*a[3]*b[1]*c[1]]*f[b[3]*c[1]])/1594323 - 
  (4736000*f[a[1]^4]*f[a[1]*a[3]*b[1]*c[1]]*f[b[3]*c[1]])/43046721 + 
  (169600000*f[a[1]^6]*f[a[1]*a[3]*b[1]*c[1]]*f[b[3]*c[1]])/
   1162261467 - (33433600*f[a[2]^2]*f[a[1]*a[3]*b[1]*c[1]]*
     f[b[3]*c[1]])/43046721 + 
  (177817600*f[a[1]^2*a[2]^2]*f[a[1]*a[3]*b[1]*c[1]]*f[b[3]*c[1]])/
   1162261467 - (134758400*f[a[1]*a[3]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[b[3]*c[1]])/129140163 + 
  (713113600*f[a[1]^3*a[3]]*f[a[1]*a[3]*b[1]*c[1]]*f[b[3]*c[1]])/
   1162261467 + (95411200*f[a[3]^2]*f[a[1]*a[3]*b[1]*c[1]]*
     f[b[3]*c[1]])/387420489 - 
  (1284505600*f[a[2]*a[4]]*f[a[1]*a[3]*b[1]*c[1]]*f[b[3]*c[1]])/
   3486784401 + (210944000*f[a[1]*a[5]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[b[3]*c[1]])/3486784401 - 
  (5120*f[b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]]*f[b[3]*c[1]])/177147 + 
  (35840*f[a[1]^2*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]]*f[b[3]*c[1]])/
   1594323 - (947200*f[a[1]^4*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[b[3]*c[1]])/43046721 - 
  (6686720*f[a[2]^2*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]]*f[b[3]*c[1]])/
   43046721 - (13475840*f[a[1]*a[3]*b[1]*c[1]]^2*f[b[3]*c[1]])/
   129140163 - (819200*f[a[2]]*f[a[4]*b[1]*c[1]]*f[b[3]*c[1]])/
   14348907 + (4096000*f[a[1]^2*a[2]]*f[a[4]*b[1]*c[1]]*f[b[3]*c[1]])/
   387420489 - (20480000*f[a[1]^4*a[2]]*f[a[4]*b[1]*c[1]]*
     f[b[3]*c[1]])/3486784401 - 
  (21299200*f[a[2]^3]*f[a[4]*b[1]*c[1]]*f[b[3]*c[1]])/1162261467 - 
  (26214400*f[a[1]*a[2]*a[3]]*f[a[4]*b[1]*c[1]]*f[b[3]*c[1]])/
   3486784401 + (291635200*f[a[4]]*f[a[4]*b[1]*c[1]]*f[b[3]*c[1]])/
   129140163 - (1458176000*f[a[1]^2*a[4]]*f[a[4]*b[1]*c[1]]*
     f[b[3]*c[1]])/3486784401 - 
  (72908800*f[a[6]]*f[a[4]*b[1]*c[1]]*f[b[3]*c[1]])/1162261467 - 
  (163840*f[a[2]*b[1]*c[1]]*f[a[4]*b[1]*c[1]]*f[b[3]*c[1]])/14348907 + 
  (819200*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[4]*b[1]*c[1]]*f[b[3]*c[1]])/
   387420489 + (29163520*f[a[4]*b[1]*c[1]]^2*f[b[3]*c[1]])/129140163 - 
  (409600*f[a[2]]*f[a[1]*b[2]*c[1]]*f[b[3]*c[1]])/1594323 + 
  (2048000*f[a[1]^2*a[2]]*f[a[1]*b[2]*c[1]]*f[b[3]*c[1]])/43046721 - 
  (10240000*f[a[1]^4*a[2]]*f[a[1]*b[2]*c[1]]*f[b[3]*c[1]])/387420489 - 
  (10649600*f[a[2]^3]*f[a[1]*b[2]*c[1]]*f[b[3]*c[1]])/129140163 - 
  (13107200*f[a[1]*a[2]*a[3]]*f[a[1]*b[2]*c[1]]*f[b[3]*c[1]])/
   387420489 + (1638400*f[a[4]]*f[a[1]*b[2]*c[1]]*f[b[3]*c[1]])/
   14348907 - (8192000*f[a[1]^2*a[4]]*f[a[1]*b[2]*c[1]]*f[b[3]*c[1]])/
   387420489 - (10240000*f[a[6]]*f[a[1]*b[2]*c[1]]*f[b[3]*c[1]])/
   129140163 - (409600*f[a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*
     f[b[3]*c[1]])/1594323 + (2048000*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*b[2]*c[1]]*f[b[3]*c[1]])/43046721 + 
  (1638400*f[a[4]*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*f[b[3]*c[1]])/14348907 - 
  (13107200*f[a[1]*a[2]]*f[a[1]^2*b[2]*c[1]]*f[b[3]*c[1]])/43046721 + 
  (65536000*f[a[1]^3*a[2]]*f[a[1]^2*b[2]*c[1]]*f[b[3]*c[1]])/
   387420489 + (13107200*f[a[2]*a[3]]*f[a[1]^2*b[2]*c[1]]*
     f[b[3]*c[1]])/387420489 + 
  (52428800*f[a[1]*a[4]]*f[a[1]^2*b[2]*c[1]]*f[b[3]*c[1]])/387420489 - 
  (13107200*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*f[b[3]*c[1]])/
   43046721 + (2048000*f[a[2]]*f[a[1]^3*b[2]*c[1]]*f[b[3]*c[1]])/
   14348907 - (73318400*f[a[1]^2*a[2]]*f[a[1]^3*b[2]*c[1]]*
     f[b[3]*c[1]])/129140163 + 
  (2148352000*f[a[1]^4*a[2]]*f[a[1]^3*b[2]*c[1]]*f[b[3]*c[1]])/
   3486784401 - (2876211200*f[a[2]^3]*f[a[1]^3*b[2]*c[1]]*
     f[b[3]*c[1]])/10460353203 + 
  (91750400*f[a[1]*a[2]*a[3]]*f[a[1]^3*b[2]*c[1]]*f[b[3]*c[1]])/
   1162261467 - (8192000*f[a[4]]*f[a[1]^3*b[2]*c[1]]*f[b[3]*c[1]])/
   129140163 + (293273600*f[a[1]^2*a[4]]*f[a[1]^3*b[2]*c[1]]*
     f[b[3]*c[1]])/1162261467 + 
  (51200000*f[a[6]]*f[a[1]^3*b[2]*c[1]]*f[b[3]*c[1]])/1162261467 + 
  (2048000*f[a[2]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*f[b[3]*c[1]])/
   14348907 - (73318400*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[b[3]*c[1]])/129140163 - 
  (8192000*f[a[4]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*f[b[3]*c[1]])/
   129140163 + (409600*f[a[1]]*f[a[2]*b[2]*c[1]]*f[b[3]*c[1]])/
   1594323 - (2048000*f[a[1]^3]*f[a[2]*b[2]*c[1]]*f[b[3]*c[1]])/
   14348907 + (51200000*f[a[1]^5]*f[a[2]*b[2]*c[1]]*f[b[3]*c[1]])/
   387420489 + (10649600*f[a[1]*a[2]^2]*f[a[2]*b[2]*c[1]]*
     f[b[3]*c[1]])/387420489 + 
  (2048000*f[a[3]]*f[a[2]*b[2]*c[1]]*f[b[3]*c[1]])/4782969 - 
  (4505600*f[a[1]^2*a[3]]*f[a[2]*b[2]*c[1]]*f[b[3]*c[1]])/387420489 - 
  (22528000*f[a[5]]*f[a[2]*b[2]*c[1]]*f[b[3]*c[1]])/129140163 + 
  (409600*f[a[1]*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*f[b[3]*c[1]])/1594323 - 
  (2048000*f[a[1]^3*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*f[b[3]*c[1]])/
   14348907 + (2048000*f[a[3]*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*
     f[b[3]*c[1]])/4782969 + (13107200*f[a[1]^2]*
     f[a[1]*a[2]*b[2]*c[1]]*f[b[3]*c[1]])/43046721 - 
  (131072000*f[a[1]^4]*f[a[1]*a[2]*b[2]*c[1]]*f[b[3]*c[1]])/387420489 + 
  (1638400000*f[a[1]^6]*f[a[1]*a[2]*b[2]*c[1]]*f[b[3]*c[1]])/
   3486784401 + (209715200*f[a[2]^2]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[3]*c[1]])/387420489 - 
  (26214400*f[a[1]^2*a[2]^2]*f[a[1]*a[2]*b[2]*c[1]]*f[b[3]*c[1]])/
   387420489 + (91750400*f[a[1]*a[3]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[3]*c[1]])/387420489 - 
  (13107200*f[a[1]^3*a[3]]*f[a[1]*a[2]*b[2]*c[1]]*f[b[3]*c[1]])/
   1162261467 - (65536000*f[a[3]^2]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[3]*c[1]])/1162261467 - 
  (4194304000*f[a[2]*a[4]]*f[a[1]*a[2]*b[2]*c[1]]*f[b[3]*c[1]])/
   31381059609 - (2818048000*f[a[1]*a[5]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[3]*c[1]])/31381059609 + 
  (13107200*f[a[1]^2*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*f[b[3]*c[1]])/
   43046721 - (131072000*f[a[1]^4*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[3]*c[1]])/387420489 + 
  (209715200*f[a[2]^2*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*f[b[3]*c[1]])/
   387420489 + (91750400*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[3]*c[1]])/387420489 - 
  (2048000*f[a[2]]*f[a[3]*b[2]*c[1]]*f[b[3]*c[1]])/4782969 + 
  (10240000*f[a[1]^2*a[2]]*f[a[3]*b[2]*c[1]]*f[b[3]*c[1]])/129140163 - 
  (51200000*f[a[1]^4*a[2]]*f[a[3]*b[2]*c[1]]*f[b[3]*c[1]])/1162261467 - 
  (53248000*f[a[2]^3]*f[a[3]*b[2]*c[1]]*f[b[3]*c[1]])/387420489 - 
  (65536000*f[a[1]*a[2]*a[3]]*f[a[3]*b[2]*c[1]]*f[b[3]*c[1]])/
   1162261467 - (80281600*f[a[4]]*f[a[3]*b[2]*c[1]]*f[b[3]*c[1]])/
   129140163 + (401408000*f[a[1]^2*a[4]]*f[a[3]*b[2]*c[1]]*
     f[b[3]*c[1]])/3486784401 + 
  (2602188800*f[a[6]]*f[a[3]*b[2]*c[1]]*f[b[3]*c[1]])/10460353203 - 
  (2048000*f[a[2]*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*f[b[3]*c[1]])/4782969 + 
  (10240000*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*f[b[3]*c[1]])/
   129140163 - (80281600*f[a[4]*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[b[3]*c[1]])/129140163 + (1600*f[1]*f[b[3]*c[1]]^2)/6561 - 
  (8000*f[a[1]^2]*f[b[3]*c[1]]^2)/177147 + 
  (40000*f[a[1]^4]*f[b[3]*c[1]]^2)/1594323 - 
  (1000000*f[a[1]^6]*f[b[3]*c[1]]^2)/43046721 + 
  (41600*f[a[2]^2]*f[b[3]*c[1]]^2)/1594323 - 
  (208000*f[a[1]^2*a[2]^2]*f[b[3]*c[1]]^2)/43046721 + 
  (51200*f[a[1]*a[3]]*f[b[3]*c[1]]^2)/1594323 - 
  (256000*f[a[1]^3*a[3]]*f[b[3]*c[1]]^2)/14348907 - 
  (1428800*f[a[3]^2]*f[b[3]*c[1]]^2)/43046721 - 
  (3276800*f[a[2]*a[4]]*f[b[3]*c[1]]^2)/129140163 - 
  (3328000*f[a[1]*a[5]]*f[b[3]*c[1]]^2)/129140163 + 
  (1600*f[b[1]*c[1]]*f[b[3]*c[1]]^2)/6561 - 
  (8000*f[a[1]^2*b[1]*c[1]]*f[b[3]*c[1]]^2)/177147 + 
  (40000*f[a[1]^4*b[1]*c[1]]*f[b[3]*c[1]]^2)/1594323 + 
  (41600*f[a[2]^2*b[1]*c[1]]*f[b[3]*c[1]]^2)/1594323 + 
  (51200*f[a[1]*a[3]*b[1]*c[1]]*f[b[3]*c[1]]^2)/1594323 - 
  (2560*f[1]*f[a[1]]*f[a[1]*b[3]*c[1]])/2187 - 
  (2560*f[a[1]]*f[a[1]^2]*f[a[1]*b[3]*c[1]])/2187 + 
  (12800*f[1]*f[a[1]^3]*f[a[1]*b[3]*c[1]])/19683 - 
  (965120*f[a[1]^2]*f[a[1]^3]*f[a[1]*b[3]*c[1]])/531441 + 
  (755200*f[a[1]]*f[a[1]^4]*f[a[1]*b[3]*c[1]])/531441 - 
  (55892480*f[a[1]^3]*f[a[1]^4]*f[a[1]*b[3]*c[1]])/14348907 - 
  (320000*f[1]*f[a[1]^5]*f[a[1]*b[3]*c[1]])/531441 + 
  (56896000*f[a[1]^2]*f[a[1]^5]*f[a[1]*b[3]*c[1]])/14348907 - 
  (1399820800*f[a[1]^4]*f[a[1]^5]*f[a[1]*b[3]*c[1]])/129140163 - 
  (29120000*f[a[1]]*f[a[1]^6]*f[a[1]*b[3]*c[1]])/14348907 + 
  (583744000*f[a[1]^3]*f[a[1]^6]*f[a[1]*b[3]*c[1]])/43046721 - 
  (43632601600*f[a[1]^5]*f[a[1]^6]*f[a[1]*b[3]*c[1]])/1162261467 + 
  (1310720*f[a[2]]*f[a[1]*a[2]]*f[a[1]*b[3]*c[1]])/1594323 + 
  (56360960*f[a[1]*a[2]]*f[a[1]^2*a[2]]*f[a[1]*b[3]*c[1]])/43046721 - 
  (6553600*f[a[2]]*f[a[1]^3*a[2]]*f[a[1]*b[3]*c[1]])/14348907 + 
  (1060372480*f[a[1]^2*a[2]]*f[a[1]^3*a[2]]*f[a[1]*b[3]*c[1]])/
   387420489 - (596377600*f[a[1]*a[2]]*f[a[1]^4*a[2]]*
     f[a[1]*b[3]*c[1]])/387420489 + 
  (76054528000*f[a[1]^3*a[2]]*f[a[1]^4*a[2]]*f[a[1]*b[3]*c[1]])/
   10460353203 + (1111040*f[a[1]]*f[a[2]^2]*f[a[1]*b[3]*c[1]])/
   1594323 - (8842240*f[a[1]^3]*f[a[2]^2]*f[a[1]*b[3]*c[1]])/4782969 + 
  (1187456000*f[a[1]^5]*f[a[2]^2]*f[a[1]*b[3]*c[1]])/387420489 - 
  (66560*f[1]*f[a[1]*a[2]^2]*f[a[1]*b[3]*c[1]])/531441 + 
  (15580160*f[a[1]^2]*f[a[1]*a[2]^2]*f[a[1]*b[3]*c[1]])/43046721 - 
  (1492986880*f[a[1]^4]*f[a[1]*a[2]^2]*f[a[1]*b[3]*c[1]])/387420489 + 
  (35418752000*f[a[1]^6]*f[a[1]*a[2]^2]*f[a[1]*b[3]*c[1]])/3486784401 - 
  (306657280*f[a[2]^2]*f[a[1]*a[2]^2]*f[a[1]*b[3]*c[1]])/387420489 - 
  (11944960*f[a[1]]*f[a[1]^2*a[2]^2]*f[a[1]*b[3]*c[1]])/43046721 + 
  (2309120*f[a[1]^3]*f[a[1]^2*a[2]^2]*f[a[1]*b[3]*c[1]])/14348907 - 
  (108998374400*f[a[1]^5]*f[a[1]^2*a[2]^2]*f[a[1]*b[3]*c[1]])/
   10460353203 - (80162109440*f[a[1]*a[2]^2]*f[a[1]^2*a[2]^2]*
     f[a[1]*b[3]*c[1]])/31381059609 - 
  (301465600*f[a[1]*a[2]]*f[a[2]^3]*f[a[1]*b[3]*c[1]])/129140163 + 
  (56515624960*f[a[1]^3*a[2]]*f[a[2]^3]*f[a[1]*b[3]*c[1]])/
   10460353203 + (2560*f[1]*f[a[3]]*f[a[1]*b[3]*c[1]])/19683 + 
  (2560*f[a[1]^2]*f[a[3]]*f[a[1]*b[3]*c[1]])/19683 - 
  (755200*f[a[1]^4]*f[a[3]]*f[a[1]*b[3]*c[1]])/4782969 + 
  (29120000*f[a[1]^6]*f[a[3]]*f[a[1]*b[3]*c[1]])/129140163 + 
  (2206720*f[a[2]^2]*f[a[3]]*f[a[1]*b[3]*c[1]])/1594323 - 
  (30970880*f[a[1]^2*a[2]^2]*f[a[3]]*f[a[1]*b[3]*c[1]])/129140163 + 
  (1310720*f[a[1]^3]*f[a[1]*a[3]]*f[a[1]*b[3]*c[1]])/4782969 - 
  (65536000*f[a[1]^5]*f[a[1]*a[3]]*f[a[1]*b[3]*c[1]])/129140163 - 
  (20971520*f[a[1]*a[2]^2]*f[a[1]*a[3]]*f[a[1]*b[3]*c[1]])/387420489 - 
  (26214400*f[a[3]]*f[a[1]*a[3]]*f[a[1]*b[3]*c[1]])/14348907 - 
  (58880*f[1]*f[a[1]^2*a[3]]*f[a[1]*b[3]*c[1]])/177147 - 
  (279040*f[a[1]^2]*f[a[1]^2*a[3]]*f[a[1]*b[3]*c[1]])/4782969 + 
  (96673280*f[a[1]^4]*f[a[1]^2*a[3]]*f[a[1]*b[3]*c[1]])/129140163 - 
  (758464000*f[a[1]^6]*f[a[1]^2*a[3]]*f[a[1]*b[3]*c[1]])/387420489 - 
  (636369920*f[a[2]^2]*f[a[1]^2*a[3]]*f[a[1]*b[3]*c[1]])/387420489 - 
  (2563251200*f[a[1]^2*a[2]^2]*f[a[1]^2*a[3]]*f[a[1]*b[3]*c[1]])/
   3486784401 - (79953920*f[a[1]*a[3]]*f[a[1]^2*a[3]]*
     f[a[1]*b[3]*c[1]])/43046721 - 
  (2621440*f[a[1]]*f[a[1]^3*a[3]]*f[a[1]*b[3]*c[1]])/4782969 - 
  (22282240*f[a[1]^3]*f[a[1]^3*a[3]]*f[a[1]*b[3]*c[1]])/129140163 + 
  (2936012800*f[a[1]^5]*f[a[1]^3*a[3]]*f[a[1]*b[3]*c[1]])/1162261467 - 
  (980418560*f[a[1]*a[2]^2]*f[a[1]^3*a[3]]*f[a[1]*b[3]*c[1]])/
   387420489 + (138936320*f[a[3]]*f[a[1]^3*a[3]]*f[a[1]*b[3]*c[1]])/
   129140163 - (10240655360*f[a[1]^2*a[3]]*f[a[1]^3*a[3]]*
     f[a[1]*b[3]*c[1]])/3486784401 - 
  (1310720*f[a[2]]*f[a[2]*a[3]]*f[a[1]*b[3]*c[1]])/1594323 + 
  (331612160*f[a[1]^2*a[2]]*f[a[2]*a[3]]*f[a[1]*b[3]*c[1]])/387420489 - 
  (3021209600*f[a[1]^4*a[2]]*f[a[2]*a[3]]*f[a[1]*b[3]*c[1]])/
   3486784401 - (1779957760*f[a[2]^3]*f[a[2]*a[3]]*f[a[1]*b[3]*c[1]])/
   387420489 - (20971520*f[a[1]*a[2]]*f[a[1]*a[2]*a[3]]*
     f[a[1]*b[3]*c[1]])/387420489 + 
  (4131389440*f[a[1]^3*a[2]]*f[a[1]*a[2]*a[3]]*f[a[1]*b[3]*c[1]])/
   3486784401 + (19524485120*f[a[2]*a[3]]*f[a[1]*a[2]*a[3]]*
     f[a[1]*b[3]*c[1]])/10460353203 + 
  (2040320*f[a[1]]*f[a[3]^2]*f[a[1]*b[3]*c[1]])/14348907 - 
  (14133760*f[a[1]^3]*f[a[3]^2]*f[a[1]*b[3]*c[1]])/129140163 + 
  (451648000*f[a[1]^5]*f[a[3]^2]*f[a[1]*b[3]*c[1]])/3486784401 - 
  (5294689280*f[a[1]*a[2]^2]*f[a[3]^2]*f[a[1]*b[3]*c[1]])/3486784401 + 
  (2560*f[a[3]]*f[a[3]^2]*f[a[1]*b[3]*c[1]])/6561 + 
  (522718720*f[a[1]^2*a[3]]*f[a[3]^2]*f[a[1]*b[3]*c[1]])/1162261467 + 
  (5242880*f[a[1]*a[2]]*f[a[4]]*f[a[1]*b[3]*c[1]])/43046721 - 
  (26214400*f[a[1]^3*a[2]]*f[a[4]]*f[a[1]*b[3]*c[1]])/387420489 - 
  (382730240*f[a[2]*a[3]]*f[a[4]]*f[a[1]*b[3]*c[1]])/387420489 + 
  (5242880*f[a[2]]*f[a[1]*a[4]]*f[a[1]*b[3]*c[1]])/43046721 - 
  (36700160*f[a[1]^2*a[2]]*f[a[1]*a[4]]*f[a[1]*b[3]*c[1]])/387420489 + 
  (969932800*f[a[1]^4*a[2]]*f[a[1]*a[4]]*f[a[1]*b[3]*c[1]])/
   10460353203 + (1751121920*f[a[2]^3]*f[a[1]*a[4]]*f[a[1]*b[3]*c[1]])/
   10460353203 + (83886080*f[a[1]*a[2]*a[3]]*f[a[1]*a[4]]*
     f[a[1]*b[3]*c[1]])/3486784401 + 
  (901775360*f[a[4]]*f[a[1]*a[4]]*f[a[1]*b[3]*c[1]])/387420489 - 
  (36700160*f[a[1]*a[2]]*f[a[1]^2*a[4]]*f[a[1]*b[3]*c[1]])/387420489 - 
  (4818206720*f[a[1]^3*a[2]]*f[a[1]^2*a[4]]*f[a[1]*b[3]*c[1]])/
   10460353203 + (4692377600*f[a[2]*a[3]]*f[a[1]^2*a[4]]*
     f[a[1]*b[3]*c[1]])/3486784401 + 
  (8451522560*f[a[1]*a[4]]*f[a[1]^2*a[4]]*f[a[1]*b[3]*c[1]])/
   3486784401 - (10485760*f[a[1]]*f[a[2]*a[4]]*f[a[1]*b[3]*c[1]])/
   43046721 + (304087040*f[a[1]^3]*f[a[2]*a[4]]*f[a[1]*b[3]*c[1]])/
   387420489 - (13893632000*f[a[1]^5]*f[a[2]*a[4]]*f[a[1]*b[3]*c[1]])/
   10460353203 - (10213130240*f[a[1]*a[2]^2]*f[a[2]*a[4]]*
     f[a[1]*b[3]*c[1]])/31381059609 + 
  (262144000*f[a[3]]*f[a[2]*a[4]]*f[a[1]*b[3]*c[1]])/387420489 - 
  (3596615680*f[a[1]^2*a[3]]*f[a[2]*a[4]]*f[a[1]*b[3]*c[1]])/
   3486784401 - (166400*f[1]*f[a[5]]*f[a[1]*b[3]*c[1]])/1594323 - 
  (166400*f[a[1]^2]*f[a[5]]*f[a[1]*b[3]*c[1]])/1594323 + 
  (49088000*f[a[1]^4]*f[a[5]]*f[a[1]*b[3]*c[1]])/387420489 - 
  (1892800000*f[a[1]^6]*f[a[5]]*f[a[1]*b[3]*c[1]])/10460353203 - 
  (220595200*f[a[2]^2]*f[a[5]]*f[a[1]*b[3]*c[1]])/387420489 + 
  (321510400*f[a[1]^2*a[2]^2]*f[a[5]]*f[a[1]*b[3]*c[1]])/3486784401 + 
  (26214400*f[a[1]*a[3]]*f[a[5]]*f[a[1]*b[3]*c[1]])/387420489 - 
  (301465600*f[a[1]^3*a[3]]*f[a[5]]*f[a[1]*b[3]*c[1]])/3486784401 - 
  (24665600*f[a[3]^2]*f[a[5]]*f[a[1]*b[3]*c[1]])/10460353203 + 
  (14732492800*f[a[2]*a[4]]*f[a[5]]*f[a[1]*b[3]*c[1]])/10460353203 - 
  (85196800*f[a[1]^3]*f[a[1]*a[5]]*f[a[1]*b[3]*c[1]])/387420489 + 
  (4259840000*f[a[1]^5]*f[a[1]*a[5]]*f[a[1]*b[3]*c[1]])/10460353203 + 
  (1363148800*f[a[1]*a[2]^2]*f[a[1]*a[5]]*f[a[1]*b[3]*c[1]])/
   31381059609 + (26214400*f[a[3]]*f[a[1]*a[5]]*f[a[1]*b[3]*c[1]])/
   387420489 + (321126400*f[a[1]^2*a[3]]*f[a[1]*a[5]]*
     f[a[1]*b[3]*c[1]])/3486784401 - 
  (94031052800*f[a[5]]*f[a[1]*a[5]]*f[a[1]*b[3]*c[1]])/31381059609 - 
  (9175040*f[a[1]*a[2]]*f[a[6]]*f[a[1]*b[3]*c[1]])/129140163 + 
  (45875200*f[a[1]^3*a[2]]*f[a[6]]*f[a[1]*b[3]*c[1]])/1162261467 + 
  (4098621440*f[a[2]*a[3]]*f[a[6]]*f[a[1]*b[3]*c[1]])/10460353203 - 
  (36700160*f[a[1]*a[4]]*f[a[6]]*f[a[1]*b[3]*c[1]])/3486784401 - 
  (12800*f[a[1]]*f[b[1]*c[1]]*f[a[1]*b[3]*c[1]])/19683 + 
  (64000*f[a[1]^3]*f[b[1]*c[1]]*f[a[1]*b[3]*c[1]])/177147 - 
  (1600000*f[a[1]^5]*f[b[1]*c[1]]*f[a[1]*b[3]*c[1]])/4782969 - 
  (332800*f[a[1]*a[2]^2]*f[b[1]*c[1]]*f[a[1]*b[3]*c[1]])/4782969 + 
  (12800*f[a[3]]*f[b[1]*c[1]]*f[a[1]*b[3]*c[1]])/177147 - 
  (294400*f[a[1]^2*a[3]]*f[b[1]*c[1]]*f[a[1]*b[3]*c[1]])/1594323 - 
  (832000*f[a[5]]*f[b[1]*c[1]]*f[a[1]*b[3]*c[1]])/14348907 - 
  (12800*f[1]*f[a[1]*b[1]*c[1]]*f[a[1]*b[3]*c[1]])/19683 - 
  (12800*f[a[1]^2]*f[a[1]*b[1]*c[1]]*f[a[1]*b[3]*c[1]])/19683 + 
  (3776000*f[a[1]^4]*f[a[1]*b[1]*c[1]]*f[a[1]*b[3]*c[1]])/4782969 - 
  (145600000*f[a[1]^6]*f[a[1]*b[1]*c[1]]*f[a[1]*b[3]*c[1]])/129140163 + 
  (5555200*f[a[2]^2]*f[a[1]*b[1]*c[1]]*f[a[1]*b[3]*c[1]])/14348907 - 
  (59724800*f[a[1]^2*a[2]^2]*f[a[1]*b[1]*c[1]]*f[a[1]*b[3]*c[1]])/
   387420489 - (13107200*f[a[1]^3*a[3]]*f[a[1]*b[1]*c[1]]*
     f[a[1]*b[3]*c[1]])/43046721 + 
  (10201600*f[a[3]^2]*f[a[1]*b[1]*c[1]]*f[a[1]*b[3]*c[1]])/129140163 - 
  (52428800*f[a[2]*a[4]]*f[a[1]*b[1]*c[1]]*f[a[1]*b[3]*c[1]])/
   387420489 - (2560*f[b[1]*c[1]]*f[a[1]*b[1]*c[1]]*f[a[1]*b[3]*c[1]])/
   19683 - (12800*f[a[1]]*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[3]*c[1]])/
   19683 - (4825600*f[a[1]^3]*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[3]*c[1]])/
   4782969 + (284480000*f[a[1]^5]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]*b[3]*c[1]])/129140163 + 
  (77900800*f[a[1]*a[2]^2]*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[3]*c[1]])/
   387420489 + (12800*f[a[3]]*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[3]*c[1]])/
   177147 - (1395200*f[a[1]^2*a[3]]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]*b[3]*c[1]])/43046721 - 
  (832000*f[a[5]]*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[3]*c[1]])/14348907 - 
  (2560*f[a[1]*b[1]*c[1]]*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[3]*c[1]])/
   19683 + (64000*f[1]*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[3]*c[1]])/177147 - 
  (4825600*f[a[1]^2]*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[3]*c[1]])/4782969 - 
  (279462400*f[a[1]^4]*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[3]*c[1]])/
   129140163 + (2918720000*f[a[1]^6]*f[a[1]^3*b[1]*c[1]]*
     f[a[1]*b[3]*c[1]])/387420489 - 
  (44211200*f[a[2]^2]*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[3]*c[1]])/43046721 + 
  (11545600*f[a[1]^2*a[2]^2]*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[3]*c[1]])/
   129140163 + (6553600*f[a[1]*a[3]]*f[a[1]^3*b[1]*c[1]]*
     f[a[1]*b[3]*c[1]])/43046721 - 
  (111411200*f[a[1]^3*a[3]]*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[3]*c[1]])/
   1162261467 - (70668800*f[a[3]^2]*f[a[1]^3*b[1]*c[1]]*
     f[a[1]*b[3]*c[1]])/1162261467 + 
  (1520435200*f[a[2]*a[4]]*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[3]*c[1]])/
   3486784401 - (425984000*f[a[1]*a[5]]*f[a[1]^3*b[1]*c[1]]*
     f[a[1]*b[3]*c[1]])/3486784401 + 
  (12800*f[b[1]*c[1]]*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[3]*c[1]])/177147 - 
  (965120*f[a[1]^2*b[1]*c[1]]*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[3]*c[1]])/
   4782969 + (3776000*f[a[1]]*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[3]*c[1]])/
   4782969 - (279462400*f[a[1]^3]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]*b[3]*c[1]])/129140163 - 
  (6999104000*f[a[1]^5]*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[3]*c[1]])/
   1162261467 - (7464934400*f[a[1]*a[2]^2]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]*b[3]*c[1]])/3486784401 - 
  (3776000*f[a[3]]*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[3]*c[1]])/43046721 + 
  (483366400*f[a[1]^2*a[3]]*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[3]*c[1]])/
   1162261467 + (245440000*f[a[5]]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]*b[3]*c[1]])/3486784401 + 
  (755200*f[a[1]*b[1]*c[1]]*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[3]*c[1]])/
   4782969 - (55892480*f[a[1]^3*b[1]*c[1]]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]*b[3]*c[1]])/129140163 + 
  (6553600*f[a[1]*a[2]]*f[a[2]*b[1]*c[1]]*f[a[1]*b[3]*c[1]])/14348907 - 
  (32768000*f[a[1]^3*a[2]]*f[a[2]*b[1]*c[1]]*f[a[1]*b[3]*c[1]])/
   129140163 - (6553600*f[a[2]*a[3]]*f[a[2]*b[1]*c[1]]*
     f[a[1]*b[3]*c[1]])/14348907 + 
  (26214400*f[a[1]*a[4]]*f[a[2]*b[1]*c[1]]*f[a[1]*b[3]*c[1]])/
   387420489 + (6553600*f[a[2]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[1]*b[3]*c[1]])/14348907 + 
  (281804800*f[a[1]^2*a[2]]*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]*b[3]*c[1]])/
   387420489 - (2981888000*f[a[1]^4*a[2]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[1]*b[3]*c[1]])/3486784401 - 
  (1507328000*f[a[2]^3]*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]*b[3]*c[1]])/
   1162261467 - (104857600*f[a[1]*a[2]*a[3]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[1]*b[3]*c[1]])/3486784401 + 
  (26214400*f[a[4]]*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]*b[3]*c[1]])/
   387420489 - (183500800*f[a[1]^2*a[4]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[1]*b[3]*c[1]])/3486784401 - 
  (45875200*f[a[6]]*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]*b[3]*c[1]])/
   1162261467 + (1310720*f[a[2]*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[1]*b[3]*c[1]])/14348907 + 
  (281804800*f[a[1]*a[2]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[3]*c[1]])/
   387420489 + (5301862400*f[a[1]^3*a[2]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*b[3]*c[1]])/3486784401 + 
  (1658060800*f[a[2]*a[3]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[3]*c[1]])/
   3486784401 - (183500800*f[a[1]*a[4]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*b[3]*c[1]])/3486784401 + 
  (56360960*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*b[3]*c[1]])/387420489 + 
  (5555200*f[a[1]]*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[3]*c[1]])/14348907 - 
  (44211200*f[a[1]^3]*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[3]*c[1]])/43046721 + 
  (5937280000*f[a[1]^5]*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[3]*c[1]])/
   3486784401 - (1533286400*f[a[1]*a[2]^2]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]*b[3]*c[1]])/3486784401 + 
  (11033600*f[a[3]]*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[3]*c[1]])/14348907 - 
  (3181849600*f[a[1]^2*a[3]]*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[3]*c[1]])/
   3486784401 - (1102976000*f[a[5]]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]*b[3]*c[1]])/3486784401 + 
  (1111040*f[a[1]*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[3]*c[1]])/
   14348907 - (8842240*f[a[1]^3*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]*b[3]*c[1]])/43046721 + 
  (12800*f[1]*f[a[3]*b[1]*c[1]]*f[a[1]*b[3]*c[1]])/177147 + 
  (12800*f[a[1]^2]*f[a[3]*b[1]*c[1]]*f[a[1]*b[3]*c[1]])/177147 - 
  (3776000*f[a[1]^4]*f[a[3]*b[1]*c[1]]*f[a[1]*b[3]*c[1]])/43046721 + 
  (145600000*f[a[1]^6]*f[a[3]*b[1]*c[1]]*f[a[1]*b[3]*c[1]])/
   1162261467 + (11033600*f[a[2]^2]*f[a[3]*b[1]*c[1]]*
     f[a[1]*b[3]*c[1]])/14348907 - 
  (154854400*f[a[1]^2*a[2]^2]*f[a[3]*b[1]*c[1]]*f[a[1]*b[3]*c[1]])/
   1162261467 - (131072000*f[a[1]*a[3]]*f[a[3]*b[1]*c[1]]*
     f[a[1]*b[3]*c[1]])/129140163 + 
  (694681600*f[a[1]^3*a[3]]*f[a[3]*b[1]*c[1]]*f[a[1]*b[3]*c[1]])/
   1162261467 + (12800*f[a[3]^2]*f[a[3]*b[1]*c[1]]*f[a[1]*b[3]*c[1]])/
   59049 + (1310720000*f[a[2]*a[4]]*f[a[3]*b[1]*c[1]]*
     f[a[1]*b[3]*c[1]])/3486784401 + 
  (131072000*f[a[1]*a[5]]*f[a[3]*b[1]*c[1]]*f[a[1]*b[3]*c[1]])/
   3486784401 + (2560*f[b[1]*c[1]]*f[a[3]*b[1]*c[1]]*
     f[a[1]*b[3]*c[1]])/177147 + 
  (2560*f[a[1]^2*b[1]*c[1]]*f[a[3]*b[1]*c[1]]*f[a[1]*b[3]*c[1]])/
   177147 - (755200*f[a[1]^4*b[1]*c[1]]*f[a[3]*b[1]*c[1]]*
     f[a[1]*b[3]*c[1]])/43046721 + 
  (2206720*f[a[2]^2*b[1]*c[1]]*f[a[3]*b[1]*c[1]]*f[a[1]*b[3]*c[1]])/
   14348907 + (6553600*f[a[1]^3]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]*b[3]*c[1]])/43046721 - 
  (327680000*f[a[1]^5]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*b[3]*c[1]])/
   1162261467 - (104857600*f[a[1]*a[2]^2]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]*b[3]*c[1]])/3486784401 - 
  (131072000*f[a[3]]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*b[3]*c[1]])/
   129140163 - (399769600*f[a[1]^2*a[3]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]*b[3]*c[1]])/387420489 + 
  (131072000*f[a[5]]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*b[3]*c[1]])/
   3486784401 + (1310720*f[a[1]^3*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]*b[3]*c[1]])/43046721 - 
  (26214400*f[a[3]*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]*b[3]*c[1]])/129140163 + 
  (26214400*f[a[1]*a[2]]*f[a[4]*b[1]*c[1]]*f[a[1]*b[3]*c[1]])/
   387420489 - (131072000*f[a[1]^3*a[2]]*f[a[4]*b[1]*c[1]]*
     f[a[1]*b[3]*c[1]])/3486784401 - 
  (1913651200*f[a[2]*a[3]]*f[a[4]*b[1]*c[1]]*f[a[1]*b[3]*c[1]])/
   3486784401 + (4508876800*f[a[1]*a[4]]*f[a[4]*b[1]*c[1]]*
     f[a[1]*b[3]*c[1]])/3486784401 + 
  (5242880*f[a[1]*a[2]*b[1]*c[1]]*f[a[4]*b[1]*c[1]]*f[a[1]*b[3]*c[1]])/
   387420489 + (409600*f[a[2]]*f[b[2]*c[1]]*f[a[1]*b[3]*c[1]])/
   1594323 - (2048000*f[a[1]^2*a[2]]*f[b[2]*c[1]]*f[a[1]*b[3]*c[1]])/
   43046721 + (10240000*f[a[1]^4*a[2]]*f[b[2]*c[1]]*f[a[1]*b[3]*c[1]])/
   387420489 + (10649600*f[a[2]^3]*f[b[2]*c[1]]*f[a[1]*b[3]*c[1]])/
   129140163 + (13107200*f[a[1]*a[2]*a[3]]*f[b[2]*c[1]]*
     f[a[1]*b[3]*c[1]])/387420489 - 
  (1638400*f[a[4]]*f[b[2]*c[1]]*f[a[1]*b[3]*c[1]])/14348907 + 
  (8192000*f[a[1]^2*a[4]]*f[b[2]*c[1]]*f[a[1]*b[3]*c[1]])/387420489 + 
  (10240000*f[a[6]]*f[b[2]*c[1]]*f[a[1]*b[3]*c[1]])/129140163 + 
  (409600*f[a[2]*b[1]*c[1]]*f[b[2]*c[1]]*f[a[1]*b[3]*c[1]])/1594323 - 
  (2048000*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[2]*c[1]]*f[a[1]*b[3]*c[1]])/
   43046721 - (1638400*f[a[4]*b[1]*c[1]]*f[b[2]*c[1]]*
     f[a[1]*b[3]*c[1]])/14348907 - 
  (15155200*f[a[2]]*f[a[1]^2*b[2]*c[1]]*f[a[1]*b[3]*c[1]])/43046721 - 
  (44646400*f[a[1]^2*a[2]]*f[a[1]^2*b[2]*c[1]]*f[a[1]*b[3]*c[1]])/
   387420489 + (1718272000*f[a[1]^4*a[2]]*f[a[1]^2*b[2]*c[1]]*
     f[a[1]*b[3]*c[1]])/10460353203 + 
  (2173337600*f[a[2]^3]*f[a[1]^2*b[2]*c[1]]*f[a[1]*b[3]*c[1]])/
   10460353203 - (91750400*f[a[1]*a[2]*a[3]]*f[a[1]^2*b[2]*c[1]]*
     f[a[1]*b[3]*c[1]])/3486784401 + 
  (60620800*f[a[4]]*f[a[1]^2*b[2]*c[1]]*f[a[1]*b[3]*c[1]])/387420489 + 
  (178585600*f[a[1]^2*a[4]]*f[a[1]^2*b[2]*c[1]]*f[a[1]*b[3]*c[1]])/
   3486784401 - (378880000*f[a[6]]*f[a[1]^2*b[2]*c[1]]*
     f[a[1]*b[3]*c[1]])/3486784401 - 
  (15155200*f[a[2]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*f[a[1]*b[3]*c[1]])/
   43046721 - (44646400*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*
     f[a[1]*b[3]*c[1]])/387420489 + 
  (60620800*f[a[4]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*f[a[1]*b[3]*c[1]])/
   387420489 - (209715200*f[a[1]*a[2]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*b[3]*c[1]])/387420489 - 
  (3565158400*f[a[1]^3*a[2]]*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[3]*c[1]])/
   10460353203 + (209715200*f[a[2]*a[3]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*b[3]*c[1]])/3486784401 + 
  (838860800*f[a[1]*a[4]]*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[3]*c[1]])/
   3486784401 - (209715200*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*b[3]*c[1]])/387420489 - 
  (409600*f[1]*f[a[2]*b[2]*c[1]]*f[a[1]*b[3]*c[1]])/1594323 + 
  (15155200*f[a[1]^2]*f[a[2]*b[2]*c[1]]*f[a[1]*b[3]*c[1]])/43046721 - 
  (47104000*f[a[1]^4]*f[a[2]*b[2]*c[1]]*f[a[1]*b[3]*c[1]])/129140163 + 
  (5171200000*f[a[1]^6]*f[a[2]*b[2]*c[1]]*f[a[1]*b[3]*c[1]])/
   10460353203 - (220364800*f[a[2]^2]*f[a[2]*b[2]*c[1]]*
     f[a[1]*b[3]*c[1]])/387420489 + 
  (480870400*f[a[1]^2*a[2]^2]*f[a[2]*b[2]*c[1]]*f[a[1]*b[3]*c[1]])/
   3486784401 + (26214400*f[a[1]*a[3]]*f[a[2]*b[2]*c[1]]*
     f[a[1]*b[3]*c[1]])/129140163 + 
  (26214400*f[a[1]^3*a[3]]*f[a[2]*b[2]*c[1]]*f[a[1]*b[3]*c[1]])/
   3486784401 - (224051200*f[a[3]^2]*f[a[2]*b[2]*c[1]]*
     f[a[1]*b[3]*c[1]])/10460353203 + 
  (1677721600*f[a[2]*a[4]]*f[a[2]*b[2]*c[1]]*f[a[1]*b[3]*c[1]])/
   10460353203 - (655360000*f[a[1]*a[5]]*f[a[2]*b[2]*c[1]]*
     f[a[1]*b[3]*c[1]])/10460353203 - 
  (409600*f[b[1]*c[1]]*f[a[2]*b[2]*c[1]]*f[a[1]*b[3]*c[1]])/1594323 + 
  (15155200*f[a[1]^2*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*f[a[1]*b[3]*c[1]])/
   43046721 - (47104000*f[a[1]^4*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*
     f[a[1]*b[3]*c[1]])/129140163 - 
  (220364800*f[a[2]^2*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*f[a[1]*b[3]*c[1]])/
   387420489 + (26214400*f[a[1]*a[3]*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*
     f[a[1]*b[3]*c[1]])/129140163 + 
  (209715200*f[a[1]^3]*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]*b[3]*c[1]])/
   387420489 - (10485760000*f[a[1]^5]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]*b[3]*c[1]])/10460353203 - 
  (3355443200*f[a[1]*a[2]^2]*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]*b[3]*c[1]])/
   31381059609 + (104857600*f[a[3]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]*b[3]*c[1]])/387420489 + 
  (734003200*f[a[1]^2*a[3]]*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]*b[3]*c[1]])/
   3486784401 - (3670016000*f[a[5]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]*b[3]*c[1]])/31381059609 + 
  (209715200*f[a[1]^3*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]*b[3]*c[1]])/387420489 + 
  (104857600*f[a[3]*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]*b[3]*c[1]])/387420489 - 
  (104857600*f[a[1]*a[2]]*f[a[3]*b[2]*c[1]]*f[a[1]*b[3]*c[1]])/
   387420489 + (524288000*f[a[1]^3*a[2]]*f[a[3]*b[2]*c[1]]*
     f[a[1]*b[3]*c[1]])/3486784401 + 
  (4508876800*f[a[2]*a[3]]*f[a[3]*b[2]*c[1]]*f[a[1]*b[3]*c[1]])/
   10460353203 - (419430400*f[a[1]*a[4]]*f[a[3]*b[2]*c[1]]*
     f[a[1]*b[3]*c[1]])/1162261467 - 
  (104857600*f[a[1]*a[2]*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[a[1]*b[3]*c[1]])/387420489 + 
  (51200*f[a[1]]*f[b[3]*c[1]]*f[a[1]*b[3]*c[1]])/177147 - 
  (256000*f[a[1]^3]*f[b[3]*c[1]]*f[a[1]*b[3]*c[1]])/1594323 + 
  (6400000*f[a[1]^5]*f[b[3]*c[1]]*f[a[1]*b[3]*c[1]])/43046721 + 
  (1331200*f[a[1]*a[2]^2]*f[b[3]*c[1]]*f[a[1]*b[3]*c[1]])/43046721 - 
  (51200*f[a[3]]*f[b[3]*c[1]]*f[a[1]*b[3]*c[1]])/1594323 + 
  (1177600*f[a[1]^2*a[3]]*f[b[3]*c[1]]*f[a[1]*b[3]*c[1]])/14348907 + 
  (3328000*f[a[5]]*f[b[3]*c[1]]*f[a[1]*b[3]*c[1]])/129140163 + 
  (51200*f[a[1]*b[1]*c[1]]*f[b[3]*c[1]]*f[a[1]*b[3]*c[1]])/177147 - 
  (256000*f[a[1]^3*b[1]*c[1]]*f[b[3]*c[1]]*f[a[1]*b[3]*c[1]])/1594323 - 
  (51200*f[a[3]*b[1]*c[1]]*f[b[3]*c[1]]*f[a[1]*b[3]*c[1]])/1594323 + 
  (25600*f[1]*f[a[1]*b[3]*c[1]]^2)/177147 + 
  (25600*f[a[1]^2]*f[a[1]*b[3]*c[1]]^2)/177147 - 
  (7552000*f[a[1]^4]*f[a[1]*b[3]*c[1]]^2)/43046721 + 
  (291200000*f[a[1]^6]*f[a[1]*b[3]*c[1]]^2)/1162261467 - 
  (11110400*f[a[2]^2]*f[a[1]*b[3]*c[1]]^2)/129140163 + 
  (119449600*f[a[1]^2*a[2]^2]*f[a[1]*b[3]*c[1]]^2)/3486784401 + 
  (26214400*f[a[1]^3*a[3]]*f[a[1]*b[3]*c[1]]^2)/387420489 - 
  (20403200*f[a[3]^2]*f[a[1]*b[3]*c[1]]^2)/1162261467 + 
  (104857600*f[a[2]*a[4]]*f[a[1]*b[3]*c[1]]^2)/3486784401 + 
  (25600*f[b[1]*c[1]]*f[a[1]*b[3]*c[1]]^2)/177147 + 
  (25600*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[3]*c[1]]^2)/177147 - 
  (7552000*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[3]*c[1]]^2)/43046721 - 
  (11110400*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[3]*c[1]]^2)/129140163 + 
  (400*f[1]^2*f[a[1]^2*b[3]*c[1]])/2187 - 
  (1280*f[a[1]]^2*f[a[1]^2*b[3]*c[1]])/2187 - 
  (28640*f[1]*f[a[1]^2]*f[a[1]^2*b[3]*c[1]])/19683 - 
  (665680*f[a[1]^2]^2*f[a[1]^2*b[3]*c[1]])/531441 - 
  (965120*f[a[1]]*f[a[1]^3]*f[a[1]^2*b[3]*c[1]])/531441 - 
  (42568960*f[a[1]^3]^2*f[a[1]^2*b[3]*c[1]])/14348907 + 
  (839200*f[1]*f[a[1]^4]*f[a[1]^2*b[3]*c[1]])/531441 - 
  (41797280*f[a[1]^2]*f[a[1]^4]*f[a[1]^2*b[3]*c[1]])/14348907 - 
  (1101737840*f[a[1]^4]^2*f[a[1]^2*b[3]*c[1]])/129140163 + 
  (56896000*f[a[1]]*f[a[1]^5]*f[a[1]^2*b[3]*c[1]])/14348907 - 
  (697356800*f[a[1]^3]*f[a[1]^5]*f[a[1]^2*b[3]*c[1]])/129140163 - 
  (34520864000*f[a[1]^5]^2*f[a[1]^2*b[3]*c[1]])/1162261467 - 
  (31220000*f[1]*f[a[1]^6]*f[a[1]^2*b[3]*c[1]])/14348907 + 
  (1562092000*f[a[1]^2]*f[a[1]^6]*f[a[1]^2*b[3]*c[1]])/129140163 - 
  (11446069600*f[a[1]^4]*f[a[1]^6]*f[a[1]^2*b[3]*c[1]])/1162261467 - 
  (3869048699600*f[a[1]^6]^2*f[a[1]^2*b[3]*c[1]])/31381059609 + 
  (348160*f[a[2]]^2*f[a[1]^2*b[3]*c[1]])/1594323 + 
  (14417920*f[a[1]*a[2]]^2*f[a[1]^2*b[3]*c[1]])/43046721 + 
  (17489920*f[a[2]]*f[a[1]^2*a[2]]*f[a[1]^2*b[3]*c[1]])/43046721 + 
  (439808000*f[a[1]^2*a[2]]^2*f[a[1]^2*b[3]*c[1]])/387420489 + 
  (175636480*f[a[1]*a[2]]*f[a[1]^3*a[2]]*f[a[1]^2*b[3]*c[1]])/
   129140163 + (39668940800*f[a[1]^3*a[2]]^2*f[a[1]^2*b[3]*c[1]])/
   10460353203 - (64102400*f[a[2]]*f[a[1]^4*a[2]]*f[a[1]^2*b[3]*c[1]])/
   129140163 + (37598781440*f[a[1]^2*a[2]]*f[a[1]^4*a[2]]*
     f[a[1]^2*b[3]*c[1]])/10460353203 + 
  (3942208040960*f[a[1]^4*a[2]]^2*f[a[1]^2*b[3]*c[1]])/282429536481 - 
  (1248320*f[1]*f[a[2]^2]*f[a[1]^2*b[3]*c[1]])/1594323 + 
  (90291520*f[a[1]^2]*f[a[2]^2]*f[a[1]^2*b[3]*c[1]])/43046721 - 
  (2213884480*f[a[1]^4]*f[a[2]^2]*f[a[1]^2*b[3]*c[1]])/387420489 + 
  (132962216000*f[a[1]^6]*f[a[2]^2]*f[a[1]^2*b[3]*c[1]])/10460353203 - 
  (547069760*f[a[2]^2]^2*f[a[1]^2*b[3]*c[1]])/387420489 + 
  (15580160*f[a[1]]*f[a[1]*a[2]^2]*f[a[1]^2*b[3]*c[1]])/43046721 + 
  (595809280*f[a[1]^3]*f[a[1]*a[2]^2]*f[a[1]^2*b[3]*c[1]])/387420489 - 
  (139112166400*f[a[1]^5]*f[a[1]*a[2]^2]*f[a[1]^2*b[3]*c[1]])/
   10460353203 - (12835118080*f[a[1]*a[2]^2]^2*f[a[1]^2*b[3]*c[1]])/
   31381059609 - (148160*f[1]*f[a[1]^2*a[2]^2]*f[a[1]^2*b[3]*c[1]])/
   43046721 + (181890880*f[a[1]^2]*f[a[1]^2*a[2]^2]*
     f[a[1]^2*b[3]*c[1]])/387420489 + 
  (1425636160*f[a[1]^4]*f[a[1]^2*a[2]^2]*f[a[1]^2*b[3]*c[1]])/
   10460353203 - (10619378862400*f[a[1]^6]*f[a[1]^2*a[2]^2]*
     f[a[1]^2*b[3]*c[1]])/282429536481 + 
  (44442823040*f[a[2]^2]*f[a[1]^2*a[2]^2]*f[a[1]^2*b[3]*c[1]])/
   31381059609 - (520741064000*f[a[1]^2*a[2]^2]^2*f[a[1]^2*b[3]*c[1]])/
   282429536481 + (117882880*f[a[2]]*f[a[2]^3]*f[a[1]^2*b[3]*c[1]])/
   43046721 - (62389207040*f[a[1]^2*a[2]]*f[a[2]^3]*
     f[a[1]^2*b[3]*c[1]])/10460353203 + 
  (4197286952960*f[a[1]^4*a[2]]*f[a[2]^3]*f[a[1]^2*b[3]*c[1]])/
   282429536481 + (81437081600*f[a[2]^3]^2*f[a[1]^2*b[3]*c[1]])/
   10460353203 + (2560*f[a[1]]*f[a[3]]*f[a[1]^2*b[3]*c[1]])/19683 + 
  (965120*f[a[1]^3]*f[a[3]]*f[a[1]^2*b[3]*c[1]])/4782969 - 
  (56896000*f[a[1]^5]*f[a[3]]*f[a[1]^2*b[3]*c[1]])/129140163 + 
  (655508480*f[a[1]*a[2]^2]*f[a[3]]*f[a[1]^2*b[3]*c[1]])/387420489 + 
  (3992320*f[a[3]]^2*f[a[1]^2*b[3]*c[1]])/14348907 + 
  (35840*f[1]*f[a[1]*a[3]]*f[a[1]^2*b[3]*c[1]])/177147 + 
  (558080*f[a[1]^2]*f[a[1]*a[3]]*f[a[1]^2*b[3]*c[1]])/4782969 + 
  (64455680*f[a[1]^4]*f[a[1]*a[3]]*f[a[1]^2*b[3]*c[1]])/129140163 - 
  (1843072000*f[a[1]^6]*f[a[1]*a[3]]*f[a[1]^2*b[3]*c[1]])/1162261467 + 
  (651950080*f[a[2]^2]*f[a[1]*a[3]]*f[a[1]^2*b[3]*c[1]])/387420489 + 
  (2102671360*f[a[1]^2*a[2]^2]*f[a[1]*a[3]]*f[a[1]^2*b[3]*c[1]])/
   3486784401 - (39116800*f[a[1]*a[3]]^2*f[a[1]^2*b[3]*c[1]])/43046721 - 
  (279040*f[a[1]]*f[a[1]^2*a[3]]*f[a[1]^2*b[3]*c[1]])/4782969 + 
  (33021440*f[a[1]^3]*f[a[1]^2*a[3]]*f[a[1]^2*b[3]*c[1]])/129140163 + 
  (1721484800*f[a[1]^5]*f[a[1]^2*a[3]]*f[a[1]^2*b[3]*c[1]])/
   1162261467 - (315366400*f[a[1]*a[2]^2]*f[a[1]^2*a[3]]*
     f[a[1]^2*b[3]*c[1]])/3486784401 - 
  (292436480*f[a[3]]*f[a[1]^2*a[3]]*f[a[1]^2*b[3]*c[1]])/129140163 - 
  (6888697600*f[a[1]^2*a[3]]^2*f[a[1]^2*b[3]*c[1]])/3486784401 - 
  (3159040*f[1]*f[a[1]^3*a[3]]*f[a[1]^2*b[3]*c[1]])/4782969 - 
  (66042880*f[a[1]^2]*f[a[1]^3*a[3]]*f[a[1]^2*b[3]*c[1]])/129140163 + 
  (1074949120*f[a[1]^4]*f[a[1]^3*a[3]]*f[a[1]^2*b[3]*c[1]])/
   1162261467 + (53622553600*f[a[1]^6]*f[a[1]^3*a[3]]*
     f[a[1]^2*b[3]*c[1]])/10460353203 - 
  (9965393920*f[a[2]^2]*f[a[1]^3*a[3]]*f[a[1]^2*b[3]*c[1]])/
   3486784401 - (257204111360*f[a[1]^2*a[2]^2]*f[a[1]^3*a[3]]*
     f[a[1]^2*b[3]*c[1]])/94143178827 - 
  (9940582400*f[a[1]*a[3]]*f[a[1]^3*a[3]]*f[a[1]^2*b[3]*c[1]])/
   3486784401 - (448767631360*f[a[1]^3*a[3]]^2*f[a[1]^2*b[3]*c[1]])/
   94143178827 - (138936320*f[a[1]*a[2]]*f[a[2]*a[3]]*
     f[a[1]^2*b[3]*c[1]])/129140163 + 
  (6781665280*f[a[1]^3*a[2]]*f[a[2]*a[3]]*f[a[1]^2*b[3]*c[1]])/
   3486784401 + (3514040320*f[a[2]*a[3]]^2*f[a[1]^2*b[3]*c[1]])/
   10460353203 - (111411200*f[a[2]]*f[a[1]*a[2]*a[3]]*
     f[a[1]^2*b[3]*c[1]])/129140163 - 
  (722206720*f[a[1]^2*a[2]]*f[a[1]*a[2]*a[3]]*f[a[1]^2*b[3]*c[1]])/
   3486784401 + (309194915840*f[a[1]^4*a[2]]*f[a[1]*a[2]*a[3]]*
     f[a[1]^2*b[3]*c[1]])/94143178827 - 
  (119755243520*f[a[2]^3]*f[a[1]*a[2]*a[3]]*f[a[1]^2*b[3]*c[1]])/
   31381059609 + (232479784960*f[a[1]*a[2]*a[3]]^2*f[a[1]^2*b[3]*c[1]])/
   282429536481 - (960160*f[1]*f[a[3]^2]*f[a[1]^2*b[3]*c[1]])/
   14348907 + (21151840*f[a[1]^2]*f[a[3]^2]*f[a[1]^2*b[3]*c[1]])/
   129140163 - (862209440*f[a[1]^4]*f[a[3]^2]*f[a[1]^2*b[3]*c[1]])/
   3486784401 + (41469988000*f[a[1]^6]*f[a[3]^2]*f[a[1]^2*b[3]*c[1]])/
   94143178827 + (1744386880*f[a[2]^2]*f[a[3]^2]*f[a[1]^2*b[3]*c[1]])/
   10460353203 - (579940919360*f[a[1]^2*a[2]^2]*f[a[3]^2]*
     f[a[1]^2*b[3]*c[1]])/282429536481 + 
  (442065920*f[a[1]*a[3]]*f[a[3]^2]*f[a[1]^2*b[3]*c[1]])/1162261467 + 
  (7447055360*f[a[1]^3*a[3]]*f[a[3]^2]*f[a[1]^2*b[3]*c[1]])/
   10460353203 + (26718680240*f[a[3]^2]^2*f[a[1]^2*b[3]*c[1]])/
   31381059609 - (14909440*f[a[2]]*f[a[4]]*f[a[1]^2*b[3]*c[1]])/
   43046721 + (54886400*f[a[1]^2*a[2]]*f[a[4]]*f[a[1]^2*b[3]*c[1]])/
   129140163 - (4567040000*f[a[1]^4*a[2]]*f[a[4]]*f[a[1]^2*b[3]*c[1]])/
   10460353203 - (2505113600*f[a[2]^3]*f[a[4]]*f[a[1]^2*b[3]*c[1]])/
   10460353203 - (1441792000*f[a[1]*a[2]*a[3]]*f[a[4]]*
     f[a[1]^2*b[3]*c[1]])/1162261467 - 
  (114360320*f[a[4]]^2*f[a[1]^2*b[3]*c[1]])/387420489 + 
  (73400320*f[a[1]*a[2]]*f[a[1]*a[4]]*f[a[1]^2*b[3]*c[1]])/387420489 + 
  (1583349760*f[a[1]^3*a[2]]*f[a[1]*a[4]]*f[a[1]^2*b[3]*c[1]])/
   10460353203 - (4729077760*f[a[2]*a[3]]*f[a[1]*a[4]]*
     f[a[1]^2*b[3]*c[1]])/3486784401 + 
  (4005560320*f[a[1]*a[4]]^2*f[a[1]^2*b[3]*c[1]])/3486784401 + 
  (54886400*f[a[2]]*f[a[1]^2*a[4]]*f[a[1]^2*b[3]*c[1]])/129140163 + 
  (351109120*f[a[1]^2*a[2]]*f[a[1]^2*a[4]]*f[a[1]^2*b[3]*c[1]])/
   10460353203 - (108782059520*f[a[1]^4*a[2]]*f[a[1]^2*a[4]]*
     f[a[1]^2*b[3]*c[1]])/282429536481 + 
  (9002352640*f[a[2]^3]*f[a[1]^2*a[4]]*f[a[1]^2*b[3]*c[1]])/
   282429536481 + (4094689280*f[a[1]*a[2]*a[3]]*f[a[1]^2*a[4]]*
     f[a[1]^2*b[3]*c[1]])/94143178827 + 
  (9664593920*f[a[4]]*f[a[1]^2*a[4]]*f[a[1]^2*b[3]*c[1]])/3486784401 + 
  (239240806400*f[a[1]^2*a[4]]^2*f[a[1]^2*b[3]*c[1]])/94143178827 + 
  (14090240*f[1]*f[a[2]*a[4]]*f[a[1]^2*b[3]*c[1]])/43046721 - 
  (109772800*f[a[1]^2]*f[a[2]*a[4]]*f[a[1]^2*b[3]*c[1]])/129140163 + 
  (25633423360*f[a[1]^4]*f[a[2]*a[4]]*f[a[1]^2*b[3]*c[1]])/
   10460353203 - (1560829952000*f[a[1]^6]*f[a[2]*a[4]]*
     f[a[1]^2*b[3]*c[1]])/282429536481 + 
  (29368647680*f[a[2]^2]*f[a[2]*a[4]]*f[a[1]^2*b[3]*c[1]])/
   31381059609 - (273234657280*f[a[1]^2*a[2]^2]*f[a[2]*a[4]]*
     f[a[1]^2*b[3]*c[1]])/282429536481 + 
  (3559915520*f[a[1]*a[3]]*f[a[2]*a[4]]*f[a[1]^2*b[3]*c[1]])/
   3486784401 - (227714007040*f[a[1]^3*a[3]]*f[a[2]*a[4]]*
     f[a[1]^2*b[3]*c[1]])/94143178827 + 
  (109990707200*f[a[3]^2]*f[a[2]*a[4]]*f[a[1]^2*b[3]*c[1]])/
   282429536481 - (499457720320*f[a[2]*a[4]]^2*f[a[1]^2*b[3]*c[1]])/
   847288609443 - (166400*f[a[1]]*f[a[5]]*f[a[1]^2*b[3]*c[1]])/
   1594323 - (62732800*f[a[1]^3]*f[a[5]]*f[a[1]^2*b[3]*c[1]])/
   387420489 + (3698240000*f[a[1]^5]*f[a[5]]*f[a[1]^2*b[3]*c[1]])/
   10460353203 - (22475392000*f[a[1]*a[2]^2]*f[a[5]]*
     f[a[1]^2*b[3]*c[1]])/31381059609 - 
  (3699200*f[a[3]]*f[a[5]]*f[a[1]^2*b[3]*c[1]])/387420489 + 
  (91712000*f[a[1]^2*a[3]]*f[a[5]]*f[a[1]^2*b[3]*c[1]])/1162261467 + 
  (14546336000*f[a[5]]^2*f[a[1]^2*b[3]*c[1]])/31381059609 - 
  (2329600*f[1]*f[a[1]*a[5]]*f[a[1]^2*b[3]*c[1]])/14348907 - 
  (36275200*f[a[1]^2]*f[a[1]*a[5]]*f[a[1]^2*b[3]*c[1]])/387420489 - 
  (4189619200*f[a[1]^4]*f[a[1]*a[5]]*f[a[1]^2*b[3]*c[1]])/10460353203 + 
  (119799680000*f[a[1]^6]*f[a[1]*a[5]]*f[a[1]^2*b[3]*c[1]])/
   94143178827 - (19098368000*f[a[2]^2]*f[a[1]*a[5]]*
     f[a[1]^2*b[3]*c[1]])/31381059609 - 
  (68096768000*f[a[1]^2*a[2]^2]*f[a[1]*a[5]]*f[a[1]^2*b[3]*c[1]])/
   282429536481 + (209305600*f[a[1]*a[3]]*f[a[1]*a[5]]*
     f[a[1]^2*b[3]*c[1]])/3486784401 + 
  (3711385600*f[a[1]^3*a[3]]*f[a[1]*a[5]]*f[a[1]^2*b[3]*c[1]])/
   31381059609 + (520985600*f[a[3]^2]*f[a[1]*a[5]]*
     f[a[1]^2*b[3]*c[1]])/94143178827 + 
  (1571579494400*f[a[2]*a[4]]*f[a[1]*a[5]]*f[a[1]^2*b[3]*c[1]])/
   847288609443 - (422274457600*f[a[1]*a[5]]^2*f[a[1]^2*b[3]*c[1]])/
   282429536481 + (30515200*f[a[2]]*f[a[6]]*f[a[1]^2*b[3]*c[1]])/
   129140163 - (970465280*f[a[1]^2*a[2]]*f[a[6]]*f[a[1]^2*b[3]*c[1]])/
   3486784401 + (8941772800*f[a[1]^4*a[2]]*f[a[6]]*
     f[a[1]^2*b[3]*c[1]])/31381059609 + 
  (6071173120*f[a[2]^3]*f[a[6]]*f[a[1]^2*b[3]*c[1]])/31381059609 + 
  (144662855680*f[a[1]*a[2]*a[3]]*f[a[6]]*f[a[1]^2*b[3]*c[1]])/
   282429536481 - (320307200*f[a[4]]*f[a[6]]*f[a[1]^2*b[3]*c[1]])/
   3486784401 + (2239528960*f[a[1]^2*a[4]]*f[a[6]]*
     f[a[1]^2*b[3]*c[1]])/31381059609 - 
  (48989286400*f[a[6]]^2*f[a[1]^2*b[3]*c[1]])/94143178827 + 
  (4000*f[1]*f[b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/19683 - 
  (143200*f[a[1]^2]*f[b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/177147 + 
  (4196000*f[a[1]^4]*f[b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/4782969 - 
  (156100000*f[a[1]^6]*f[b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/129140163 - 
  (6241600*f[a[2]^2]*f[b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/14348907 - 
  (740800*f[a[1]^2*a[2]^2]*f[b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   387420489 + (179200*f[a[1]*a[3]]*f[b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   1594323 - (15795200*f[a[1]^3*a[3]]*f[b[1]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/43046721 - 
  (4800800*f[a[3]^2]*f[b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/129140163 + 
  (70451200*f[a[2]*a[4]]*f[b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/387420489 - 
  (11648000*f[a[1]*a[5]]*f[b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/129140163 + 
  (400*f[b[1]*c[1]]^2*f[a[1]^2*b[3]*c[1]])/19683 - 
  (12800*f[a[1]]*f[a[1]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/19683 - 
  (4825600*f[a[1]^3]*f[a[1]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/4782969 + 
  (284480000*f[a[1]^5]*f[a[1]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   129140163 + (77900800*f[a[1]*a[2]^2]*f[a[1]*b[1]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/387420489 + 
  (12800*f[a[3]]*f[a[1]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/177147 - 
  (1395200*f[a[1]^2*a[3]]*f[a[1]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   43046721 - (832000*f[a[5]]*f[a[1]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   14348907 - (1280*f[a[1]*b[1]*c[1]]^2*f[a[1]^2*b[3]*c[1]])/19683 - 
  (143200*f[1]*f[a[1]^2*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/177147 - 
  (6656800*f[a[1]^2]*f[a[1]^2*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/4782969 - 
  (208986400*f[a[1]^4]*f[a[1]^2*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   129140163 + (7810460000*f[a[1]^6]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/1162261467 + 
  (451457600*f[a[2]^2]*f[a[1]^2*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   387420489 + (909454400*f[a[1]^2*a[2]^2]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/3486784401 + 
  (2790400*f[a[1]*a[3]]*f[a[1]^2*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   43046721 - (330214400*f[a[1]^3*a[3]]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/1162261467 + 
  (105759200*f[a[3]^2]*f[a[1]^2*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   1162261467 - (548864000*f[a[2]*a[4]]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/1162261467 - 
  (181376000*f[a[1]*a[5]]*f[a[1]^2*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   3486784401 - (28640*f[b[1]*c[1]]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/177147 - 
  (665680*f[a[1]^2*b[1]*c[1]]^2*f[a[1]^2*b[3]*c[1]])/4782969 - 
  (4825600*f[a[1]]*f[a[1]^3*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/4782969 - 
  (425689600*f[a[1]^3]*f[a[1]^3*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   129140163 - (3486784000*f[a[1]^5]*f[a[1]^3*b[1]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/1162261467 + 
  (2979046400*f[a[1]*a[2]^2]*f[a[1]^3*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   3486784401 + (4825600*f[a[3]]*f[a[1]^3*b[1]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/43046721 + 
  (165107200*f[a[1]^2*a[3]]*f[a[1]^3*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   1162261467 - (313664000*f[a[5]]*f[a[1]^3*b[1]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/3486784401 - 
  (965120*f[a[1]*b[1]*c[1]]*f[a[1]^3*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   4782969 - (42568960*f[a[1]^3*b[1]*c[1]]^2*f[a[1]^2*b[3]*c[1]])/
   129140163 + (4196000*f[1]*f[a[1]^4*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   4782969 - (208986400*f[a[1]^2]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/129140163 - 
  (11017378400*f[a[1]^4]*f[a[1]^4*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   1162261467 - (57230348000*f[a[1]^6]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/10460353203 - 
  (11069422400*f[a[2]^2]*f[a[1]^4*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   3486784401 + (7128180800*f[a[1]^2*a[2]^2]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/94143178827 + 
  (322278400*f[a[1]*a[3]]*f[a[1]^4*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   1162261467 + (5374745600*f[a[1]^3*a[3]]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/10460353203 - 
  (4311047200*f[a[3]^2]*f[a[1]^4*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   31381059609 + (128167116800*f[a[2]*a[4]]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/94143178827 - 
  (20948096000*f[a[1]*a[5]]*f[a[1]^4*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   94143178827 + (839200*f[b[1]*c[1]]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/4782969 - 
  (41797280*f[a[1]^2*b[1]*c[1]]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/129140163 - 
  (1101737840*f[a[1]^4*b[1]*c[1]]^2*f[a[1]^2*b[3]*c[1]])/1162261467 + 
  (3481600*f[a[2]]*f[a[2]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/14348907 + 
  (87449600*f[a[1]^2*a[2]]*f[a[2]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   387420489 - (320512000*f[a[1]^4*a[2]]*f[a[2]*b[1]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/1162261467 + 
  (589414400*f[a[2]^3]*f[a[2]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   387420489 - (557056000*f[a[1]*a[2]*a[3]]*f[a[2]*b[1]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/1162261467 - 
  (74547200*f[a[4]]*f[a[2]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/387420489 + 
  (274432000*f[a[1]^2*a[4]]*f[a[2]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   1162261467 + (152576000*f[a[6]]*f[a[2]*b[1]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/1162261467 + 
  (348160*f[a[2]*b[1]*c[1]]^2*f[a[1]^2*b[3]*c[1]])/14348907 + 
  (144179200*f[a[1]*a[2]]*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   387420489 + (878182400*f[a[1]^3*a[2]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/1162261467 - 
  (694681600*f[a[2]*a[3]]*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   1162261467 + (367001600*f[a[1]*a[4]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/3486784401 + 
  (14417920*f[a[1]*a[2]*b[1]*c[1]]^2*f[a[1]^2*b[3]*c[1]])/387420489 + 
  (87449600*f[a[2]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   387420489 + (4398080000*f[a[1]^2*a[2]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/3486784401 + 
  (187993907200*f[a[1]^4*a[2]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/94143178827 - 
  (311946035200*f[a[2]^3]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/94143178827 - 
  (3611033600*f[a[1]*a[2]*a[3]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/31381059609 + 
  (274432000*f[a[4]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   1162261467 + (1755545600*f[a[1]^2*a[4]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/94143178827 - 
  (4852326400*f[a[6]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   31381059609 + (17489920*f[a[2]*b[1]*c[1]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/387420489 + 
  (439808000*f[a[1]^2*a[2]*b[1]*c[1]]^2*f[a[1]^2*b[3]*c[1]])/3486784401 - 
  (6241600*f[1]*f[a[2]^2*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/14348907 + 
  (451457600*f[a[1]^2]*f[a[2]^2*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   387420489 - (11069422400*f[a[1]^4]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/3486784401 + 
  (664811080000*f[a[1]^6]*f[a[2]^2*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   94143178827 - (5470697600*f[a[2]^2]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/3486784401 + 
  (222214115200*f[a[1]^2*a[2]^2]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/282429536481 + 
  (3259750400*f[a[1]*a[3]]*f[a[2]^2*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   3486784401 - (49826969600*f[a[1]^3*a[3]]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/31381059609 + 
  (8721934400*f[a[3]^2]*f[a[2]^2*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   94143178827 + (146843238400*f[a[2]*a[4]]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/282429536481 - 
  (95491840000*f[a[1]*a[5]]*f[a[2]^2*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   282429536481 - (1248320*f[b[1]*c[1]]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/14348907 + 
  (90291520*f[a[1]^2*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/387420489 - 
  (2213884480*f[a[1]^4*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/3486784401 - 
  (547069760*f[a[2]^2*b[1]*c[1]]^2*f[a[1]^2*b[3]*c[1]])/3486784401 + 
  (12800*f[a[1]]*f[a[3]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/177147 + 
  (4825600*f[a[1]^3]*f[a[3]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/43046721 - 
  (284480000*f[a[1]^5]*f[a[3]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   1162261467 + (3277542400*f[a[1]*a[2]^2]*f[a[3]*b[1]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/3486784401 + 
  (39923200*f[a[3]]*f[a[3]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/129140163 - 
  (1462182400*f[a[1]^2*a[3]]*f[a[3]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   1162261467 - (18496000*f[a[5]]*f[a[3]*b[1]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/3486784401 + 
  (2560*f[a[1]*b[1]*c[1]]*f[a[3]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   177147 + (965120*f[a[1]^3*b[1]*c[1]]*f[a[3]*b[1]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/43046721 + 
  (3992320*f[a[3]*b[1]*c[1]]^2*f[a[1]^2*b[3]*c[1]])/129140163 + 
  (179200*f[1]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/1594323 + 
  (2790400*f[a[1]^2]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   43046721 + (322278400*f[a[1]^4]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/1162261467 - 
  (9215360000*f[a[1]^6]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   10460353203 + (3259750400*f[a[2]^2]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/3486784401 + 
  (10513356800*f[a[1]^2*a[2]^2]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/31381059609 - 
  (391168000*f[a[1]*a[3]]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   387420489 - (49702912000*f[a[1]^3*a[3]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/31381059609 + 
  (2210329600*f[a[3]^2]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   10460353203 + (17799577600*f[a[2]*a[4]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/31381059609 + 
  (1046528000*f[a[1]*a[5]]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   31381059609 + (35840*f[b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/1594323 + 
  (558080*f[a[1]^2*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/43046721 + 
  (64455680*f[a[1]^4*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/1162261467 + 
  (651950080*f[a[2]^2*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/3486784401 - 
  (39116800*f[a[1]*a[3]*b[1]*c[1]]^2*f[a[1]^2*b[3]*c[1]])/387420489 - 
  (74547200*f[a[2]]*f[a[4]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/387420489 + 
  (274432000*f[a[1]^2*a[2]]*f[a[4]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   1162261467 - (22835200000*f[a[1]^4*a[2]]*f[a[4]*b[1]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/94143178827 - 
  (12525568000*f[a[2]^3]*f[a[4]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   94143178827 - (7208960000*f[a[1]*a[2]*a[3]]*f[a[4]*b[1]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/10460353203 - 
  (1143603200*f[a[4]]*f[a[4]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   3486784401 + (48322969600*f[a[1]^2*a[4]]*f[a[4]*b[1]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/31381059609 - 
  (1601536000*f[a[6]]*f[a[4]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   31381059609 - (14909440*f[a[2]*b[1]*c[1]]*f[a[4]*b[1]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/387420489 + 
  (54886400*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[4]*b[1]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/1162261467 - 
  (114360320*f[a[4]*b[1]*c[1]]^2*f[a[1]^2*b[3]*c[1]])/3486784401 + 
  (13107200*f[a[1]*a[2]]*f[b[2]*c[1]]*f[a[1]^2*b[3]*c[1]])/43046721 - 
  (65536000*f[a[1]^3*a[2]]*f[b[2]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   387420489 - (13107200*f[a[2]*a[3]]*f[b[2]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/387420489 - 
  (52428800*f[a[1]*a[4]]*f[b[2]*c[1]]*f[a[1]^2*b[3]*c[1]])/387420489 + 
  (13107200*f[a[1]*a[2]*b[1]*c[1]]*f[b[2]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   43046721 + (15155200*f[a[2]]*f[a[1]*b[2]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   43046721 + (44646400*f[a[1]^2*a[2]]*f[a[1]*b[2]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/387420489 - 
  (1718272000*f[a[1]^4*a[2]]*f[a[1]*b[2]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   10460353203 - (2173337600*f[a[2]^3]*f[a[1]*b[2]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/10460353203 + 
  (91750400*f[a[1]*a[2]*a[3]]*f[a[1]*b[2]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   3486784401 - (60620800*f[a[4]]*f[a[1]*b[2]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/387420489 - 
  (178585600*f[a[1]^2*a[4]]*f[a[1]*b[2]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   3486784401 + (378880000*f[a[6]]*f[a[1]*b[2]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/3486784401 + 
  (15155200*f[a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   43046721 + (44646400*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/387420489 - 
  (60620800*f[a[4]*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   387420489 - (285491200*f[a[2]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/387420489 - 
  (5283430400*f[a[1]^2*a[2]]*f[a[1]^3*b[2]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   10460353203 - (34833612800*f[a[1]^4*a[2]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/282429536481 + 
  (322426470400*f[a[2]^3]*f[a[1]^3*b[2]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   282429536481 - (2424832000*f[a[1]*a[2]*a[3]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/94143178827 + 
  (1141964800*f[a[4]]*f[a[1]^3*b[2]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   3486784401 + (21133721600*f[a[1]^2*a[4]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/94143178827 - 
  (7137280000*f[a[6]]*f[a[1]^3*b[2]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   31381059609 - (285491200*f[a[2]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/387420489 - 
  (5283430400*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/10460353203 + 
  (1141964800*f[a[4]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/3486784401 - 
  (15155200*f[a[1]]*f[a[2]*b[2]*c[1]]*f[a[1]^2*b[3]*c[1]])/43046721 + 
  (285491200*f[a[1]^3]*f[a[2]*b[2]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   387420489 - (4126720000*f[a[1]^5]*f[a[2]*b[2]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/3486784401 - 
  (17959321600*f[a[1]*a[2]^2]*f[a[2]*b[2]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   31381059609 - (17612800*f[a[3]]*f[a[2]*b[2]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/387420489 + 
  (614809600*f[a[1]^2*a[3]]*f[a[2]*b[2]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   3486784401 + (161792000*f[a[5]]*f[a[2]*b[2]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/31381059609 - 
  (15155200*f[a[1]*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   43046721 + (285491200*f[a[1]^3*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/387420489 - 
  (17612800*f[a[3]*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   387420489 - (13107200*f[1]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/43046721 + 
  (13749452800*f[a[1]^4]*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   10460353203 - (1023016960000*f[a[1]^6]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/282429536481 - 
  (17589862400*f[a[2]^2]*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   31381059609 - (115553075200*f[a[1]^2*a[2]^2]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/282429536481 + 
  (91750400*f[a[1]*a[3]]*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   387420489 + (25781862400*f[a[1]^3*a[3]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/94143178827 - 
  (5478809600*f[a[3]^2]*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   282429536481 + (101502156800*f[a[2]*a[4]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/847288609443 - 
  (2818048000*f[a[1]*a[5]]*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   31381059609 - (13107200*f[b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/43046721 + 
  (13749452800*f[a[1]^4*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/10460353203 - 
  (17589862400*f[a[2]^2*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/31381059609 + 
  (91750400*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/387420489 + 
  (17612800*f[a[2]]*f[a[3]*b[2]*c[1]]*f[a[1]^2*b[3]*c[1]])/387420489 - 
  (405913600*f[a[1]^2*a[2]]*f[a[3]*b[2]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   1162261467 + (36091904000*f[a[1]^4*a[2]]*f[a[3]*b[2]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/94143178827 - 
  (16319283200*f[a[2]^3]*f[a[3]*b[2]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   31381059609 + (146604032000*f[a[1]*a[2]*a[3]]*f[a[3]*b[2]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/282429536481 + 
  (453836800*f[a[4]]*f[a[3]*b[2]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   3486784401 - (13898547200*f[a[1]^2*a[4]]*f[a[3]*b[2]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/31381059609 - 
  (15960064000*f[a[6]]*f[a[3]*b[2]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   282429536481 + (17612800*f[a[2]*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/387420489 - 
  (405913600*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/1162261467 + 
  (453836800*f[a[4]*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   3486784401 - (16000*f[1]*f[b[3]*c[1]]*f[a[1]^2*b[3]*c[1]])/177147 + 
  (572800*f[a[1]^2]*f[b[3]*c[1]]*f[a[1]^2*b[3]*c[1]])/1594323 - 
  (16784000*f[a[1]^4]*f[b[3]*c[1]]*f[a[1]^2*b[3]*c[1]])/43046721 + 
  (624400000*f[a[1]^6]*f[b[3]*c[1]]*f[a[1]^2*b[3]*c[1]])/1162261467 + 
  (24966400*f[a[2]^2]*f[b[3]*c[1]]*f[a[1]^2*b[3]*c[1]])/129140163 + 
  (2963200*f[a[1]^2*a[2]^2]*f[b[3]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   3486784401 - (716800*f[a[1]*a[3]]*f[b[3]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   14348907 + (63180800*f[a[1]^3*a[3]]*f[b[3]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/387420489 + 
  (19203200*f[a[3]^2]*f[b[3]*c[1]]*f[a[1]^2*b[3]*c[1]])/1162261467 - 
  (281804800*f[a[2]*a[4]]*f[b[3]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   3486784401 + (46592000*f[a[1]*a[5]]*f[b[3]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/1162261467 - 
  (16000*f[b[1]*c[1]]*f[b[3]*c[1]]*f[a[1]^2*b[3]*c[1]])/177147 + 
  (572800*f[a[1]^2*b[1]*c[1]]*f[b[3]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   1594323 - (16784000*f[a[1]^4*b[1]*c[1]]*f[b[3]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/43046721 + 
  (24966400*f[a[2]^2*b[1]*c[1]]*f[b[3]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   129140163 - (716800*f[a[1]*a[3]*b[1]*c[1]]*f[b[3]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/14348907 + 
  (51200*f[a[1]]*f[a[1]*b[3]*c[1]]*f[a[1]^2*b[3]*c[1]])/177147 + 
  (19302400*f[a[1]^3]*f[a[1]*b[3]*c[1]]*f[a[1]^2*b[3]*c[1]])/43046721 - 
  (1137920000*f[a[1]^5]*f[a[1]*b[3]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   1162261467 - (311603200*f[a[1]*a[2]^2]*f[a[1]*b[3]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/3486784401 - 
  (51200*f[a[3]]*f[a[1]*b[3]*c[1]]*f[a[1]^2*b[3]*c[1]])/1594323 + 
  (5580800*f[a[1]^2*a[3]]*f[a[1]*b[3]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   387420489 + (3328000*f[a[5]]*f[a[1]*b[3]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   129140163 + (51200*f[a[1]*b[1]*c[1]]*f[a[1]*b[3]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/177147 + 
  (19302400*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[3]*c[1]]*f[a[1]^2*b[3]*c[1]])/
   43046721 - (51200*f[a[3]*b[1]*c[1]]*f[a[1]*b[3]*c[1]]*
     f[a[1]^2*b[3]*c[1]])/1594323 + 
  (286400*f[1]*f[a[1]^2*b[3]*c[1]]^2)/1594323 + 
  (13313600*f[a[1]^2]*f[a[1]^2*b[3]*c[1]]^2)/43046721 + 
  (417972800*f[a[1]^4]*f[a[1]^2*b[3]*c[1]]^2)/1162261467 - 
  (15620920000*f[a[1]^6]*f[a[1]^2*b[3]*c[1]]^2)/10460353203 - 
  (902915200*f[a[2]^2]*f[a[1]^2*b[3]*c[1]]^2)/3486784401 - 
  (1818908800*f[a[1]^2*a[2]^2]*f[a[1]^2*b[3]*c[1]]^2)/31381059609 - 
  (5580800*f[a[1]*a[3]]*f[a[1]^2*b[3]*c[1]]^2)/387420489 + 
  (660428800*f[a[1]^3*a[3]]*f[a[1]^2*b[3]*c[1]]^2)/10460353203 - 
  (211518400*f[a[3]^2]*f[a[1]^2*b[3]*c[1]]^2)/10460353203 + 
  (1097728000*f[a[2]*a[4]]*f[a[1]^2*b[3]*c[1]]^2)/10460353203 + 
  (362752000*f[a[1]*a[5]]*f[a[1]^2*b[3]*c[1]]^2)/31381059609 + 
  (286400*f[b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]^2)/1594323 + 
  (13313600*f[a[1]^2*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]^2)/43046721 + 
  (417972800*f[a[1]^4*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]^2)/1162261467 - 
  (902915200*f[a[2]^2*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]^2)/3486784401 - 
  (5580800*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]^2)/387420489 + 
  (40960*f[1]*f[a[2]]*f[a[2]*b[3]*c[1]])/19683 + 
  (696320*f[a[1]^2]*f[a[2]]*f[a[2]*b[3]*c[1]])/1594323 - 
  (10035200*f[a[1]^4]*f[a[2]]*f[a[2]*b[3]*c[1]])/14348907 + 
  (5120000*f[a[1]^6]*f[a[2]]*f[a[2]*b[3]*c[1]])/4782969 + 
  (1310720*f[a[1]]*f[a[1]*a[2]]*f[a[2]*b[3]*c[1]])/1594323 + 
  (14417920*f[a[1]^3]*f[a[1]*a[2]]*f[a[2]*b[3]*c[1]])/14348907 - 
  (32768000*f[a[1]^5]*f[a[1]*a[2]]*f[a[2]*b[3]*c[1]])/14348907 - 
  (204800*f[1]*f[a[1]^2*a[2]]*f[a[2]*b[3]*c[1]])/531441 + 
  (17489920*f[a[1]^2]*f[a[1]^2*a[2]]*f[a[2]*b[3]*c[1]])/43046721 + 
  (1182638080*f[a[1]^4]*f[a[1]^2*a[2]]*f[a[2]*b[3]*c[1]])/387420489 - 
  (31624192000*f[a[1]^6]*f[a[1]^2*a[2]]*f[a[2]*b[3]*c[1]])/3486784401 - 
  (6553600*f[a[1]]*f[a[1]^3*a[2]]*f[a[2]*b[3]*c[1]])/14348907 - 
  (72089600*f[a[1]^3]*f[a[1]^3*a[2]]*f[a[2]*b[3]*c[1]])/129140163 + 
  (120645222400*f[a[1]^5]*f[a[1]^3*a[2]]*f[a[2]*b[3]*c[1]])/
   10460353203 + (1024000*f[1]*f[a[1]^4*a[2]]*f[a[2]*b[3]*c[1]])/
   4782969 - (64102400*f[a[1]^2]*f[a[1]^4*a[2]]*f[a[2]*b[3]*c[1]])/
   129140163 - (56201338880*f[a[1]^4]*f[a[1]^4*a[2]]*
     f[a[2]*b[3]*c[1]])/10460353203 + 
  (4911202508800*f[a[1]^6]*f[a[1]^4*a[2]]*f[a[2]*b[3]*c[1]])/
   94143178827 - (81920*f[a[2]]*f[a[2]^2]*f[a[2]*b[3]*c[1]])/19683 - 
  (36945920*f[a[1]^2*a[2]]*f[a[2]^2]*f[a[2]*b[3]*c[1]])/387420489 + 
  (1862451200*f[a[1]^4*a[2]]*f[a[2]^2]*f[a[2]*b[3]*c[1]])/3486784401 - 
  (972554240*f[a[1]*a[2]]*f[a[1]*a[2]^2]*f[a[2]*b[3]*c[1]])/387420489 - 
  (6886522880*f[a[1]^3*a[2]]*f[a[1]*a[2]^2]*f[a[2]*b[3]*c[1]])/
   10460353203 + (332677120*f[a[2]]*f[a[1]^2*a[2]^2]*
     f[a[2]*b[3]*c[1]])/387420489 - 
  (84220559360*f[a[1]^2*a[2]]*f[a[1]^2*a[2]^2]*f[a[2]*b[3]*c[1]])/
   31381059609 - (900732108800*f[a[1]^4*a[2]]*f[a[1]^2*a[2]^2]*
     f[a[2]*b[3]*c[1]])/282429536481 + 
  (1064960*f[1]*f[a[2]^3]*f[a[2]*b[3]*c[1]])/1594323 + 
  (117882880*f[a[1]^2]*f[a[2]^3]*f[a[2]*b[3]*c[1]])/43046721 - 
  (11072389120*f[a[1]^4]*f[a[2]^3]*f[a[2]*b[3]*c[1]])/10460353203 - 
  (127035392000*f[a[1]^6]*f[a[2]^3]*f[a[2]*b[3]*c[1]])/94143178827 + 
  (4851138560*f[a[2]^2]*f[a[2]^3]*f[a[2]*b[3]*c[1]])/387420489 - 
  (779714560*f[a[1]^2*a[2]^2]*f[a[2]^3]*f[a[2]*b[3]*c[1]])/387420489 - 
  (1310720*f[a[1]*a[2]]*f[a[3]]*f[a[2]*b[3]*c[1]])/1594323 + 
  (6553600*f[a[1]^3*a[2]]*f[a[3]]*f[a[2]*b[3]*c[1]])/14348907 + 
  (2621440*f[a[2]]*f[a[1]*a[3]]*f[a[2]*b[3]*c[1]])/1594323 - 
  (474480640*f[a[1]^2*a[2]]*f[a[1]*a[3]]*f[a[2]*b[3]*c[1]])/387420489 + 
  (4154982400*f[a[1]^4*a[2]]*f[a[1]*a[3]]*f[a[2]*b[3]*c[1]])/
   3486784401 + (1882193920*f[a[2]^3]*f[a[1]*a[3]]*f[a[2]*b[3]*c[1]])/
   387420489 + (250347520*f[a[1]*a[2]]*f[a[1]^2*a[3]]*
     f[a[2]*b[3]*c[1]])/129140163 - 
  (9123921920*f[a[1]^3*a[2]]*f[a[1]^2*a[3]]*f[a[2]*b[3]*c[1]])/
   3486784401 - (76021760*f[a[2]]*f[a[1]^3*a[3]]*f[a[2]*b[3]*c[1]])/
   129140163 + (4076339200*f[a[1]^2*a[2]]*f[a[1]^3*a[3]]*
     f[a[2]*b[3]*c[1]])/1162261467 - 
  (227763814400*f[a[1]^4*a[2]]*f[a[1]^3*a[3]]*f[a[2]*b[3]*c[1]])/
   31381059609 + (58159267840*f[a[2]^3]*f[a[1]^3*a[3]]*
     f[a[2]*b[3]*c[1]])/31381059609 - 
  (1310720*f[a[1]]*f[a[2]*a[3]]*f[a[2]*b[3]*c[1]])/1594323 + 
  (38010880*f[a[1]^3]*f[a[2]*a[3]]*f[a[2]*b[3]*c[1]])/129140163 - 
  (425984000*f[a[1]^5]*f[a[2]*a[3]]*f[a[2]*b[3]*c[1]])/3486784401 + 
  (233308160*f[a[1]*a[2]^2]*f[a[2]*a[3]]*f[a[2]*b[3]*c[1]])/
   1162261467 + (273940480*f[a[3]]*f[a[2]*a[3]]*f[a[2]*b[3]*c[1]])/
   129140163 + (5223219200*f[a[1]^2*a[3]]*f[a[2]*a[3]]*
     f[a[2]*b[3]*c[1]])/10460353203 + 
  (1310720*f[1]*f[a[1]*a[2]*a[3]]*f[a[2]*b[3]*c[1]])/4782969 - 
  (111411200*f[a[1]^2]*f[a[1]*a[2]*a[3]]*f[a[2]*b[3]*c[1]])/129140163 + 
  (1901854720*f[a[1]^4]*f[a[1]*a[2]*a[3]]*f[a[2]*b[3]*c[1]])/
   3486784401 - (2195456000*f[a[1]^6]*f[a[1]*a[2]*a[3]]*
     f[a[2]*b[3]*c[1]])/10460353203 - 
  (2314731520*f[a[2]^2]*f[a[1]*a[2]*a[3]]*f[a[2]*b[3]*c[1]])/
   1162261467 + (112441425920*f[a[1]^2*a[2]^2]*f[a[1]*a[2]*a[3]]*
     f[a[2]*b[3]*c[1]])/94143178827 + 
  (9709813760*f[a[1]*a[3]]*f[a[1]*a[2]*a[3]]*f[a[2]*b[3]*c[1]])/
   10460353203 + (107814584320*f[a[1]^3*a[3]]*f[a[1]*a[2]*a[3]]*
     f[a[2]*b[3]*c[1]])/94143178827 + 
  (258334720*f[a[2]]*f[a[3]^2]*f[a[2]*b[3]*c[1]])/129140163 - 
  (599613440*f[a[1]^2*a[2]]*f[a[3]^2]*f[a[2]*b[3]*c[1]])/3486784401 - 
  (462233600*f[a[1]^4*a[2]]*f[a[3]^2]*f[a[2]*b[3]*c[1]])/31381059609 + 
  (82214174720*f[a[2]^3]*f[a[3]^2]*f[a[2]*b[3]*c[1]])/10460353203 - 
  (67922821120*f[a[1]*a[2]*a[3]]*f[a[3]^2]*f[a[2]*b[3]*c[1]])/
   31381059609 - (163840*f[1]*f[a[4]]*f[a[2]*b[3]*c[1]])/1594323 - 
  (14909440*f[a[1]^2]*f[a[4]]*f[a[2]*b[3]*c[1]])/43046721 + 
  (153190400*f[a[1]^4]*f[a[4]]*f[a[2]*b[3]*c[1]])/387420489 - 
  (5795840000*f[a[1]^6]*f[a[4]]*f[a[2]*b[3]*c[1]])/10460353203 + 
  (327680*f[a[2]^2]*f[a[4]]*f[a[2]*b[3]*c[1]])/1594323 - 
  (269025280*f[a[1]^2*a[2]^2]*f[a[4]]*f[a[2]*b[3]*c[1]])/3486784401 + 
  (262144000*f[a[1]*a[3]]*f[a[4]]*f[a[2]*b[3]*c[1]])/387420489 - 
  (1814036480*f[a[1]^3*a[3]]*f[a[4]]*f[a[2]*b[3]*c[1]])/3486784401 + 
  (34827960320*f[a[3]^2]*f[a[4]]*f[a[2]*b[3]*c[1]])/10460353203 + 
  (5242880*f[a[1]]*f[a[1]*a[4]]*f[a[2]*b[3]*c[1]])/43046721 - 
  (277872640*f[a[1]^3]*f[a[1]*a[4]]*f[a[2]*b[3]*c[1]])/387420489 + 
  (13238272000*f[a[1]^5]*f[a[1]*a[4]]*f[a[2]*b[3]*c[1]])/10460353203 + 
  (15172894720*f[a[1]*a[2]^2]*f[a[1]*a[4]]*f[a[2]*b[3]*c[1]])/
   31381059609 - (382730240*f[a[3]]*f[a[1]*a[4]]*f[a[2]*b[3]*c[1]])/
   387420489 + (3685744640*f[a[1]^2*a[3]]*f[a[1]*a[4]]*
     f[a[2]*b[3]*c[1]])/3486784401 + 
  (819200*f[1]*f[a[1]^2*a[4]]*f[a[2]*b[3]*c[1]])/43046721 + 
  (54886400*f[a[1]^2]*f[a[1]^2*a[4]]*f[a[2]*b[3]*c[1]])/129140163 - 
  (21066383360*f[a[1]^4]*f[a[1]^2*a[4]]*f[a[2]*b[3]*c[1]])/
   10460353203 + (1394225152000*f[a[1]^6]*f[a[1]^2*a[4]]*
     f[a[2]*b[3]*c[1]])/282429536481 + 
  (147783680*f[a[2]^2]*f[a[1]^2*a[4]]*f[a[2]*b[3]*c[1]])/31381059609 + 
  (241768529920*f[a[1]^2*a[2]^2]*f[a[1]^2*a[4]]*f[a[2]*b[3]*c[1]])/
   282429536481 - (4603248640*f[a[1]*a[3]]*f[a[1]^2*a[4]]*
     f[a[2]*b[3]*c[1]])/3486784401 + 
  (229942231040*f[a[1]^3*a[3]]*f[a[1]^2*a[4]]*f[a[2]*b[3]*c[1]])/
   94143178827 - (100403937280*f[a[3]^2]*f[a[1]^2*a[4]]*
     f[a[2]*b[3]*c[1]])/282429536481 + 
  (1342177280*f[a[1]^2*a[2]]*f[a[2]*a[4]]*f[a[2]*b[3]*c[1]])/
   31381059609 - (13421772800*f[a[1]^4*a[2]]*f[a[2]*a[4]]*
     f[a[2]*b[3]*c[1]])/282429536481 - 
  (21474836480*f[a[2]^3]*f[a[2]*a[4]]*f[a[2]*b[3]*c[1]])/31381059609 + 
  (6710886400*f[a[1]*a[2]*a[3]]*f[a[2]*a[4]]*f[a[2]*b[3]*c[1]])/
   94143178827 - (134217728000*f[a[4]]*f[a[2]*a[4]]*f[a[2]*b[3]*c[1]])/
   31381059609 - (762356695040*f[a[1]^2*a[4]]*f[a[2]*a[4]]*
     f[a[2]*b[3]*c[1]])/847288609443 + 
  (150732800*f[a[1]*a[2]]*f[a[5]]*f[a[2]*b[3]*c[1]])/387420489 - 
  (753664000*f[a[1]^3*a[2]]*f[a[5]]*f[a[2]*b[3]*c[1]])/3486784401 + 
  (386662400*f[a[2]*a[3]]*f[a[5]]*f[a[2]*b[3]*c[1]])/1162261467 - 
  (40134246400*f[a[1]*a[4]]*f[a[5]]*f[a[2]*b[3]*c[1]])/31381059609 - 
  (301465600*f[a[2]]*f[a[1]*a[5]]*f[a[2]*b[3]*c[1]])/387420489 + 
  (17629184000*f[a[1]^2*a[2]]*f[a[1]*a[5]]*f[a[2]*b[3]*c[1]])/
   31381059609 - (153681920000*f[a[1]^4*a[2]]*f[a[1]*a[5]]*
     f[a[2]*b[3]*c[1]])/282429536481 - 
  (63202918400*f[a[2]^3]*f[a[1]*a[5]]*f[a[2]*b[3]*c[1]])/31381059609 + 
  (5557452800*f[a[1]*a[2]*a[3]]*f[a[1]*a[5]]*f[a[2]*b[3]*c[1]])/
   94143178827 + (14732492800*f[a[4]]*f[a[1]*a[5]]*f[a[2]*b[3]*c[1]])/
   10460353203 - (1488925491200*f[a[1]^2*a[4]]*f[a[1]*a[5]]*
     f[a[2]*b[3]*c[1]])/847288609443 + 
  (450560*f[1]*f[a[6]]*f[a[2]*b[3]*c[1]])/4782969 + 
  (30515200*f[a[1]^2]*f[a[6]]*f[a[2]*b[3]*c[1]])/129140163 - 
  (105472000*f[a[1]^4]*f[a[6]]*f[a[2]*b[3]*c[1]])/387420489 + 
  (12006400000*f[a[1]^6]*f[a[6]]*f[a[2]*b[3]*c[1]])/31381059609 - 
  (901120*f[a[2]^2]*f[a[6]]*f[a[2]*b[3]*c[1]])/4782969 + 
  (1946828800*f[a[1]^2*a[2]^2]*f[a[6]]*f[a[2]*b[3]*c[1]])/31381059609 - 
  (1821900800*f[a[1]*a[3]]*f[a[6]]*f[a[2]*b[3]*c[1]])/10460353203 + 
  (18546688000*f[a[1]^3*a[3]]*f[a[6]]*f[a[2]*b[3]*c[1]])/94143178827 - 
  (14012456960*f[a[3]^2]*f[a[6]]*f[a[2]*b[3]*c[1]])/10460353203 + 
  (10737418240*f[a[2]*a[4]]*f[a[6]]*f[a[2]*b[3]*c[1]])/94143178827 + 
  (138870784000*f[a[1]*a[5]]*f[a[6]]*f[a[2]*b[3]*c[1]])/94143178827 + 
  (204800*f[a[2]]*f[b[1]*c[1]]*f[a[2]*b[3]*c[1]])/177147 - 
  (1024000*f[a[1]^2*a[2]]*f[b[1]*c[1]]*f[a[2]*b[3]*c[1]])/4782969 + 
  (5120000*f[a[1]^4*a[2]]*f[b[1]*c[1]]*f[a[2]*b[3]*c[1]])/43046721 + 
  (5324800*f[a[2]^3]*f[b[1]*c[1]]*f[a[2]*b[3]*c[1]])/14348907 + 
  (6553600*f[a[1]*a[2]*a[3]]*f[b[1]*c[1]]*f[a[2]*b[3]*c[1]])/43046721 - 
  (819200*f[a[4]]*f[b[1]*c[1]]*f[a[2]*b[3]*c[1]])/14348907 + 
  (4096000*f[a[1]^2*a[4]]*f[b[1]*c[1]]*f[a[2]*b[3]*c[1]])/387420489 + 
  (2252800*f[a[6]]*f[b[1]*c[1]]*f[a[2]*b[3]*c[1]])/43046721 + 
  (6553600*f[a[1]*a[2]]*f[a[1]*b[1]*c[1]]*f[a[2]*b[3]*c[1]])/14348907 - 
  (32768000*f[a[1]^3*a[2]]*f[a[1]*b[1]*c[1]]*f[a[2]*b[3]*c[1]])/
   129140163 - (6553600*f[a[2]*a[3]]*f[a[1]*b[1]*c[1]]*
     f[a[2]*b[3]*c[1]])/14348907 + 
  (26214400*f[a[1]*a[4]]*f[a[1]*b[1]*c[1]]*f[a[2]*b[3]*c[1]])/
   387420489 + (3481600*f[a[2]]*f[a[1]^2*b[1]*c[1]]*f[a[2]*b[3]*c[1]])/
   14348907 + (87449600*f[a[1]^2*a[2]]*f[a[1]^2*b[1]*c[1]]*
     f[a[2]*b[3]*c[1]])/387420489 - 
  (320512000*f[a[1]^4*a[2]]*f[a[1]^2*b[1]*c[1]]*f[a[2]*b[3]*c[1]])/
   1162261467 + (589414400*f[a[2]^3]*f[a[1]^2*b[1]*c[1]]*
     f[a[2]*b[3]*c[1]])/387420489 - 
  (557056000*f[a[1]*a[2]*a[3]]*f[a[1]^2*b[1]*c[1]]*f[a[2]*b[3]*c[1]])/
   1162261467 - (74547200*f[a[4]]*f[a[1]^2*b[1]*c[1]]*
     f[a[2]*b[3]*c[1]])/387420489 + 
  (274432000*f[a[1]^2*a[4]]*f[a[1]^2*b[1]*c[1]]*f[a[2]*b[3]*c[1]])/
   1162261467 + (152576000*f[a[6]]*f[a[1]^2*b[1]*c[1]]*
     f[a[2]*b[3]*c[1]])/1162261467 + 
  (72089600*f[a[1]*a[2]]*f[a[1]^3*b[1]*c[1]]*f[a[2]*b[3]*c[1]])/
   129140163 - (360448000*f[a[1]^3*a[2]]*f[a[1]^3*b[1]*c[1]]*
     f[a[2]*b[3]*c[1]])/1162261467 + 
  (190054400*f[a[2]*a[3]]*f[a[1]^3*b[1]*c[1]]*f[a[2]*b[3]*c[1]])/
   1162261467 - (1389363200*f[a[1]*a[4]]*f[a[1]^3*b[1]*c[1]]*
     f[a[2]*b[3]*c[1]])/3486784401 - 
  (50176000*f[a[2]]*f[a[1]^4*b[1]*c[1]]*f[a[2]*b[3]*c[1]])/129140163 + 
  (5913190400*f[a[1]^2*a[2]]*f[a[1]^4*b[1]*c[1]]*f[a[2]*b[3]*c[1]])/
   3486784401 - (281006694400*f[a[1]^4*a[2]]*f[a[1]^4*b[1]*c[1]]*
     f[a[2]*b[3]*c[1]])/94143178827 - 
  (55361945600*f[a[2]^3]*f[a[1]^4*b[1]*c[1]]*f[a[2]*b[3]*c[1]])/
   94143178827 + (9509273600*f[a[1]*a[2]*a[3]]*f[a[1]^4*b[1]*c[1]]*
     f[a[2]*b[3]*c[1]])/31381059609 + 
  (765952000*f[a[4]]*f[a[1]^4*b[1]*c[1]]*f[a[2]*b[3]*c[1]])/
   3486784401 - (105331916800*f[a[1]^2*a[4]]*f[a[1]^4*b[1]*c[1]]*
     f[a[2]*b[3]*c[1]])/94143178827 - 
  (527360000*f[a[6]]*f[a[1]^4*b[1]*c[1]]*f[a[2]*b[3]*c[1]])/
   3486784401 + (204800*f[1]*f[a[2]*b[1]*c[1]]*f[a[2]*b[3]*c[1]])/
   177147 + (3481600*f[a[1]^2]*f[a[2]*b[1]*c[1]]*f[a[2]*b[3]*c[1]])/
   14348907 - (50176000*f[a[1]^4]*f[a[2]*b[1]*c[1]]*f[a[2]*b[3]*c[1]])/
   129140163 + (25600000*f[a[1]^6]*f[a[2]*b[1]*c[1]]*
     f[a[2]*b[3]*c[1]])/43046721 - 
  (409600*f[a[2]^2]*f[a[2]*b[1]*c[1]]*f[a[2]*b[3]*c[1]])/177147 + 
  (1663385600*f[a[1]^2*a[2]^2]*f[a[2]*b[1]*c[1]]*f[a[2]*b[3]*c[1]])/
   3486784401 + (13107200*f[a[1]*a[3]]*f[a[2]*b[1]*c[1]]*
     f[a[2]*b[3]*c[1]])/14348907 - 
  (380108800*f[a[1]^3*a[3]]*f[a[2]*b[1]*c[1]]*f[a[2]*b[3]*c[1]])/
   1162261467 + (1291673600*f[a[3]^2]*f[a[2]*b[1]*c[1]]*
     f[a[2]*b[3]*c[1]])/1162261467 - 
  (1507328000*f[a[1]*a[5]]*f[a[2]*b[1]*c[1]]*f[a[2]*b[3]*c[1]])/
   3486784401 + (40960*f[b[1]*c[1]]*f[a[2]*b[1]*c[1]]*
     f[a[2]*b[3]*c[1]])/177147 + 
  (696320*f[a[1]^2*b[1]*c[1]]*f[a[2]*b[1]*c[1]]*f[a[2]*b[3]*c[1]])/
   14348907 - (10035200*f[a[1]^4*b[1]*c[1]]*f[a[2]*b[1]*c[1]]*
     f[a[2]*b[3]*c[1]])/129140163 + 
  (6553600*f[a[1]]*f[a[1]*a[2]*b[1]*c[1]]*f[a[2]*b[3]*c[1]])/14348907 + 
  (72089600*f[a[1]^3]*f[a[1]*a[2]*b[1]*c[1]]*f[a[2]*b[3]*c[1]])/
   129140163 - (163840000*f[a[1]^5]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[2]*b[3]*c[1]])/129140163 - 
  (4862771200*f[a[1]*a[2]^2]*f[a[1]*a[2]*b[1]*c[1]]*f[a[2]*b[3]*c[1]])/
   3486784401 - (6553600*f[a[3]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[2]*b[3]*c[1]])/14348907 + 
  (1251737600*f[a[1]^2*a[3]]*f[a[1]*a[2]*b[1]*c[1]]*f[a[2]*b[3]*c[1]])/
   1162261467 + (753664000*f[a[5]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[2]*b[3]*c[1]])/3486784401 + 
  (1310720*f[a[1]*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[1]]*f[a[2]*b[3]*c[1]])/
   14348907 + (14417920*f[a[1]^3*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[2]*b[3]*c[1]])/129140163 - 
  (1024000*f[1]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[2]*b[3]*c[1]])/4782969 + 
  (87449600*f[a[1]^2]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[2]*b[3]*c[1]])/
   387420489 + (5913190400*f[a[1]^4]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[2]*b[3]*c[1]])/3486784401 - 
  (158120960000*f[a[1]^6]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[2]*b[3]*c[1]])/
   31381059609 - (184729600*f[a[2]^2]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[2]*b[3]*c[1]])/3486784401 - 
  (421102796800*f[a[1]^2*a[2]^2]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[2]*b[3]*c[1]])/282429536481 - 
  (2372403200*f[a[1]*a[3]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[2]*b[3]*c[1]])/
   3486784401 + (20381696000*f[a[1]^3*a[3]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[2]*b[3]*c[1]])/10460353203 - 
  (2998067200*f[a[3]^2]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[2]*b[3]*c[1]])/
   31381059609 + (6710886400*f[a[2]*a[4]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[2]*b[3]*c[1]])/282429536481 + 
  (88145920000*f[a[1]*a[5]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[2]*b[3]*c[1]])/282429536481 - 
  (204800*f[b[1]*c[1]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[2]*b[3]*c[1]])/
   4782969 + (17489920*f[a[1]^2*b[1]*c[1]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[2]*b[3]*c[1]])/387420489 + 
  (1182638080*f[a[1]^4*b[1]*c[1]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[2]*b[3]*c[1]])/3486784401 - 
  (409600*f[a[2]]*f[a[2]^2*b[1]*c[1]]*f[a[2]*b[3]*c[1]])/177147 - 
  (184729600*f[a[1]^2*a[2]]*f[a[2]^2*b[1]*c[1]]*f[a[2]*b[3]*c[1]])/
   3486784401 + (9312256000*f[a[1]^4*a[2]]*f[a[2]^2*b[1]*c[1]]*
     f[a[2]*b[3]*c[1]])/31381059609 + 
  (24255692800*f[a[2]^3]*f[a[2]^2*b[1]*c[1]]*f[a[2]*b[3]*c[1]])/
   3486784401 - (11573657600*f[a[1]*a[2]*a[3]]*f[a[2]^2*b[1]*c[1]]*
     f[a[2]*b[3]*c[1]])/10460353203 + 
  (1638400*f[a[4]]*f[a[2]^2*b[1]*c[1]]*f[a[2]*b[3]*c[1]])/14348907 + 
  (738918400*f[a[1]^2*a[4]]*f[a[2]^2*b[1]*c[1]]*f[a[2]*b[3]*c[1]])/
   282429536481 - (4505600*f[a[6]]*f[a[2]^2*b[1]*c[1]]*
     f[a[2]*b[3]*c[1]])/43046721 - 
  (81920*f[a[2]*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]]*f[a[2]*b[3]*c[1]])/
   177147 - (36945920*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]]*
     f[a[2]*b[3]*c[1]])/3486784401 - 
  (6553600*f[a[1]*a[2]]*f[a[3]*b[1]*c[1]]*f[a[2]*b[3]*c[1]])/14348907 + 
  (32768000*f[a[1]^3*a[2]]*f[a[3]*b[1]*c[1]]*f[a[2]*b[3]*c[1]])/
   129140163 + (1369702400*f[a[2]*a[3]]*f[a[3]*b[1]*c[1]]*
     f[a[2]*b[3]*c[1]])/1162261467 - 
  (1913651200*f[a[1]*a[4]]*f[a[3]*b[1]*c[1]]*f[a[2]*b[3]*c[1]])/
   3486784401 - (1310720*f[a[1]*a[2]*b[1]*c[1]]*f[a[3]*b[1]*c[1]]*
     f[a[2]*b[3]*c[1]])/14348907 + 
  (13107200*f[a[2]]*f[a[1]*a[3]*b[1]*c[1]]*f[a[2]*b[3]*c[1]])/
   14348907 - (2372403200*f[a[1]^2*a[2]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[2]*b[3]*c[1]])/3486784401 + 
  (20774912000*f[a[1]^4*a[2]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[2]*b[3]*c[1]])/31381059609 + 
  (9410969600*f[a[2]^3]*f[a[1]*a[3]*b[1]*c[1]]*f[a[2]*b[3]*c[1]])/
   3486784401 + (48549068800*f[a[1]*a[2]*a[3]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[2]*b[3]*c[1]])/94143178827 + 
  (1310720000*f[a[4]]*f[a[1]*a[3]*b[1]*c[1]]*f[a[2]*b[3]*c[1]])/
   3486784401 - (23016243200*f[a[1]^2*a[4]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[2]*b[3]*c[1]])/31381059609 - 
  (9109504000*f[a[6]]*f[a[1]*a[3]*b[1]*c[1]]*f[a[2]*b[3]*c[1]])/
   94143178827 + (2621440*f[a[2]*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[2]*b[3]*c[1]])/14348907 - 
  (474480640*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[2]*b[3]*c[1]])/3486784401 - 
  (819200*f[1]*f[a[4]*b[1]*c[1]]*f[a[2]*b[3]*c[1]])/14348907 - 
  (74547200*f[a[1]^2]*f[a[4]*b[1]*c[1]]*f[a[2]*b[3]*c[1]])/387420489 + 
  (765952000*f[a[1]^4]*f[a[4]*b[1]*c[1]]*f[a[2]*b[3]*c[1]])/
   3486784401 - (28979200000*f[a[1]^6]*f[a[4]*b[1]*c[1]]*
     f[a[2]*b[3]*c[1]])/94143178827 + 
  (1638400*f[a[2]^2]*f[a[4]*b[1]*c[1]]*f[a[2]*b[3]*c[1]])/14348907 - 
  (1345126400*f[a[1]^2*a[2]^2]*f[a[4]*b[1]*c[1]]*f[a[2]*b[3]*c[1]])/
   31381059609 + (1310720000*f[a[1]*a[3]]*f[a[4]*b[1]*c[1]]*
     f[a[2]*b[3]*c[1]])/3486784401 - 
  (9070182400*f[a[1]^3*a[3]]*f[a[4]*b[1]*c[1]]*f[a[2]*b[3]*c[1]])/
   31381059609 + (174139801600*f[a[3]^2]*f[a[4]*b[1]*c[1]]*
     f[a[2]*b[3]*c[1]])/94143178827 - 
  (671088640000*f[a[2]*a[4]]*f[a[4]*b[1]*c[1]]*f[a[2]*b[3]*c[1]])/
   282429536481 + (73662464000*f[a[1]*a[5]]*f[a[4]*b[1]*c[1]]*
     f[a[2]*b[3]*c[1]])/94143178827 - 
  (163840*f[b[1]*c[1]]*f[a[4]*b[1]*c[1]]*f[a[2]*b[3]*c[1]])/14348907 - 
  (14909440*f[a[1]^2*b[1]*c[1]]*f[a[4]*b[1]*c[1]]*f[a[2]*b[3]*c[1]])/
   387420489 + (153190400*f[a[1]^4*b[1]*c[1]]*f[a[4]*b[1]*c[1]]*
     f[a[2]*b[3]*c[1]])/3486784401 + 
  (327680*f[a[2]^2*b[1]*c[1]]*f[a[4]*b[1]*c[1]]*f[a[2]*b[3]*c[1]])/
   14348907 + (262144000*f[a[1]*a[3]*b[1]*c[1]]*f[a[4]*b[1]*c[1]]*
     f[a[2]*b[3]*c[1]])/3486784401 - 
  (409600*f[a[1]]*f[b[2]*c[1]]*f[a[2]*b[3]*c[1]])/1594323 + 
  (2048000*f[a[1]^3]*f[b[2]*c[1]]*f[a[2]*b[3]*c[1]])/14348907 - 
  (51200000*f[a[1]^5]*f[b[2]*c[1]]*f[a[2]*b[3]*c[1]])/387420489 - 
  (10649600*f[a[1]*a[2]^2]*f[b[2]*c[1]]*f[a[2]*b[3]*c[1]])/387420489 - 
  (2048000*f[a[3]]*f[b[2]*c[1]]*f[a[2]*b[3]*c[1]])/4782969 + 
  (4505600*f[a[1]^2*a[3]]*f[b[2]*c[1]]*f[a[2]*b[3]*c[1]])/387420489 + 
  (22528000*f[a[5]]*f[b[2]*c[1]]*f[a[2]*b[3]*c[1]])/129140163 - 
  (409600*f[a[1]*b[1]*c[1]]*f[b[2]*c[1]]*f[a[2]*b[3]*c[1]])/1594323 + 
  (2048000*f[a[1]^3*b[1]*c[1]]*f[b[2]*c[1]]*f[a[2]*b[3]*c[1]])/
   14348907 - (2048000*f[a[3]*b[1]*c[1]]*f[b[2]*c[1]]*
     f[a[2]*b[3]*c[1]])/4782969 + 
  (409600*f[1]*f[a[1]*b[2]*c[1]]*f[a[2]*b[3]*c[1]])/1594323 - 
  (15155200*f[a[1]^2]*f[a[1]*b[2]*c[1]]*f[a[2]*b[3]*c[1]])/43046721 + 
  (47104000*f[a[1]^4]*f[a[1]*b[2]*c[1]]*f[a[2]*b[3]*c[1]])/129140163 - 
  (5171200000*f[a[1]^6]*f[a[1]*b[2]*c[1]]*f[a[2]*b[3]*c[1]])/
   10460353203 + (220364800*f[a[2]^2]*f[a[1]*b[2]*c[1]]*
     f[a[2]*b[3]*c[1]])/387420489 - 
  (480870400*f[a[1]^2*a[2]^2]*f[a[1]*b[2]*c[1]]*f[a[2]*b[3]*c[1]])/
   3486784401 - (26214400*f[a[1]*a[3]]*f[a[1]*b[2]*c[1]]*
     f[a[2]*b[3]*c[1]])/129140163 - 
  (26214400*f[a[1]^3*a[3]]*f[a[1]*b[2]*c[1]]*f[a[2]*b[3]*c[1]])/
   3486784401 + (224051200*f[a[3]^2]*f[a[1]*b[2]*c[1]]*
     f[a[2]*b[3]*c[1]])/10460353203 - 
  (1677721600*f[a[2]*a[4]]*f[a[1]*b[2]*c[1]]*f[a[2]*b[3]*c[1]])/
   10460353203 + (655360000*f[a[1]*a[5]]*f[a[1]*b[2]*c[1]]*
     f[a[2]*b[3]*c[1]])/10460353203 + 
  (409600*f[b[1]*c[1]]*f[a[1]*b[2]*c[1]]*f[a[2]*b[3]*c[1]])/1594323 - 
  (15155200*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*f[a[2]*b[3]*c[1]])/
   43046721 + (47104000*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*
     f[a[2]*b[3]*c[1]])/129140163 + 
  (220364800*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*f[a[2]*b[3]*c[1]])/
   387420489 - (26214400*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*
     f[a[2]*b[3]*c[1]])/129140163 + 
  (15155200*f[a[1]]*f[a[1]^2*b[2]*c[1]]*f[a[2]*b[3]*c[1]])/43046721 - 
  (285491200*f[a[1]^3]*f[a[1]^2*b[2]*c[1]]*f[a[2]*b[3]*c[1]])/
   387420489 + (4126720000*f[a[1]^5]*f[a[1]^2*b[2]*c[1]]*
     f[a[2]*b[3]*c[1]])/3486784401 + 
  (17959321600*f[a[1]*a[2]^2]*f[a[1]^2*b[2]*c[1]]*f[a[2]*b[3]*c[1]])/
   31381059609 + (17612800*f[a[3]]*f[a[1]^2*b[2]*c[1]]*
     f[a[2]*b[3]*c[1]])/387420489 - 
  (614809600*f[a[1]^2*a[3]]*f[a[1]^2*b[2]*c[1]]*f[a[2]*b[3]*c[1]])/
   3486784401 - (161792000*f[a[5]]*f[a[1]^2*b[2]*c[1]]*
     f[a[2]*b[3]*c[1]])/31381059609 + 
  (15155200*f[a[1]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*f[a[2]*b[3]*c[1]])/
   43046721 - (285491200*f[a[1]^3*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*
     f[a[2]*b[3]*c[1]])/387420489 + 
  (17612800*f[a[3]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*f[a[2]*b[3]*c[1]])/
   387420489 - (2048000*f[1]*f[a[1]^3*b[2]*c[1]]*f[a[2]*b[3]*c[1]])/
   14348907 + (285491200*f[a[1]^2]*f[a[1]^3*b[2]*c[1]]*
     f[a[2]*b[3]*c[1]])/387420489 - 
  (21832908800*f[a[1]^4]*f[a[1]^3*b[2]*c[1]]*f[a[2]*b[3]*c[1]])/
   10460353203 + (440043520000*f[a[1]^6]*f[a[1]^3*b[2]*c[1]]*
     f[a[2]*b[3]*c[1]])/94143178827 + 
  (49971200*f[a[2]^2]*f[a[1]^3*b[2]*c[1]]*f[a[2]*b[3]*c[1]])/
   10460353203 + (235968102400*f[a[1]^2*a[2]^2]*f[a[1]^3*b[2]*c[1]]*
     f[a[2]*b[3]*c[1]])/282429536481 + 
  (183500800*f[a[1]*a[3]]*f[a[1]^3*b[2]*c[1]]*f[a[2]*b[3]*c[1]])/
   3486784401 - (5531238400*f[a[1]^3*a[3]]*f[a[1]^3*b[2]*c[1]]*
     f[a[2]*b[3]*c[1]])/31381059609 - 
  (491110400*f[a[3]^2]*f[a[1]^3*b[2]*c[1]]*f[a[2]*b[3]*c[1]])/
   94143178827 - (1677721600*f[a[2]*a[4]]*f[a[1]^3*b[2]*c[1]]*
     f[a[2]*b[3]*c[1]])/31381059609 + 
  (3801088000*f[a[1]*a[5]]*f[a[1]^3*b[2]*c[1]]*f[a[2]*b[3]*c[1]])/
   282429536481 - (2048000*f[b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[2]*b[3]*c[1]])/14348907 + 
  (285491200*f[a[1]^2*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[2]*b[3]*c[1]])/387420489 - 
  (21832908800*f[a[1]^4*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[2]*b[3]*c[1]])/10460353203 + 
  (49971200*f[a[2]^2*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*f[a[2]*b[3]*c[1]])/
   10460353203 + (183500800*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[2]*b[3]*c[1]])/3486784401 + 
  (3355443200*f[a[1]^2*a[2]]*f[a[1]*a[2]*b[2]*c[1]]*f[a[2]*b[3]*c[1]])/
   31381059609 - (33554432000*f[a[1]^4*a[2]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[2]*b[3]*c[1]])/282429536481 - 
  (53687091200*f[a[2]^3]*f[a[1]*a[2]*b[2]*c[1]]*f[a[2]*b[3]*c[1]])/
   31381059609 + (16777216000*f[a[1]*a[2]*a[3]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[2]*b[3]*c[1]])/94143178827 - 
  (3355443200*f[a[4]]*f[a[1]*a[2]*b[2]*c[1]]*f[a[2]*b[3]*c[1]])/
   31381059609 - (23488102400*f[a[1]^2*a[4]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[2]*b[3]*c[1]])/847288609443 + 
  (6710886400*f[a[6]]*f[a[1]*a[2]*b[2]*c[1]]*f[a[2]*b[3]*c[1]])/
   94143178827 + (3355443200*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]]*f[a[2]*b[3]*c[1]])/31381059609 - 
  (3355443200*f[a[4]*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[2]*b[3]*c[1]])/31381059609 + 
  (2048000*f[1]*f[a[3]*b[2]*c[1]]*f[a[2]*b[3]*c[1]])/4782969 - 
  (17612800*f[a[1]^2]*f[a[3]*b[2]*c[1]]*f[a[2]*b[3]*c[1]])/387420489 + 
  (22528000*f[a[1]^4]*f[a[3]*b[2]*c[1]]*f[a[2]*b[3]*c[1]])/3486784401 + 
  (358400000*f[a[1]^6]*f[a[3]*b[2]*c[1]]*f[a[2]*b[3]*c[1]])/
   31381059609 + (1101824000*f[a[2]^2]*f[a[3]*b[2]*c[1]]*
     f[a[2]*b[3]*c[1]])/1162261467 - 
  (16186572800*f[a[1]^2*a[2]^2]*f[a[3]*b[2]*c[1]]*f[a[2]*b[3]*c[1]])/
   94143178827 - (3329228800*f[a[1]*a[3]]*f[a[3]*b[2]*c[1]]*
     f[a[2]*b[3]*c[1]])/10460353203 + 
  (17904435200*f[a[1]^3*a[3]]*f[a[3]*b[2]*c[1]]*f[a[2]*b[3]*c[1]])/
   94143178827 - (43968512000*f[a[3]^2]*f[a[3]*b[2]*c[1]]*
     f[a[2]*b[3]*c[1]])/31381059609 + 
  (18454937600*f[a[2]*a[4]]*f[a[3]*b[2]*c[1]]*f[a[2]*b[3]*c[1]])/
   31381059609 - (3801088000*f[a[1]*a[5]]*f[a[3]*b[2]*c[1]]*
     f[a[2]*b[3]*c[1]])/94143178827 + 
  (2048000*f[b[1]*c[1]]*f[a[3]*b[2]*c[1]]*f[a[2]*b[3]*c[1]])/4782969 - 
  (17612800*f[a[1]^2*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*f[a[2]*b[3]*c[1]])/
   387420489 + (22528000*f[a[1]^4*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[a[2]*b[3]*c[1]])/3486784401 + 
  (1101824000*f[a[2]^2*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*f[a[2]*b[3]*c[1]])/
   1162261467 - (3329228800*f[a[1]*a[3]*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[a[2]*b[3]*c[1]])/10460353203 - 
  (819200*f[a[2]]*f[b[3]*c[1]]*f[a[2]*b[3]*c[1]])/1594323 + 
  (4096000*f[a[1]^2*a[2]]*f[b[3]*c[1]]*f[a[2]*b[3]*c[1]])/43046721 - 
  (20480000*f[a[1]^4*a[2]]*f[b[3]*c[1]]*f[a[2]*b[3]*c[1]])/387420489 - 
  (21299200*f[a[2]^3]*f[b[3]*c[1]]*f[a[2]*b[3]*c[1]])/129140163 - 
  (26214400*f[a[1]*a[2]*a[3]]*f[b[3]*c[1]]*f[a[2]*b[3]*c[1]])/
   387420489 + (3276800*f[a[4]]*f[b[3]*c[1]]*f[a[2]*b[3]*c[1]])/
   129140163 - (16384000*f[a[1]^2*a[4]]*f[b[3]*c[1]]*
     f[a[2]*b[3]*c[1]])/3486784401 - 
  (9011200*f[a[6]]*f[b[3]*c[1]]*f[a[2]*b[3]*c[1]])/387420489 - 
  (819200*f[a[2]*b[1]*c[1]]*f[b[3]*c[1]]*f[a[2]*b[3]*c[1]])/1594323 + 
  (4096000*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[3]*c[1]]*f[a[2]*b[3]*c[1]])/
   43046721 + (3276800*f[a[4]*b[1]*c[1]]*f[b[3]*c[1]]*
     f[a[2]*b[3]*c[1]])/129140163 - 
  (26214400*f[a[1]*a[2]]*f[a[1]*b[3]*c[1]]*f[a[2]*b[3]*c[1]])/
   129140163 + (131072000*f[a[1]^3*a[2]]*f[a[1]*b[3]*c[1]]*
     f[a[2]*b[3]*c[1]])/1162261467 + 
  (26214400*f[a[2]*a[3]]*f[a[1]*b[3]*c[1]]*f[a[2]*b[3]*c[1]])/
   129140163 - (104857600*f[a[1]*a[4]]*f[a[1]*b[3]*c[1]]*
     f[a[2]*b[3]*c[1]])/3486784401 - 
  (26214400*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]*b[3]*c[1]]*
     f[a[2]*b[3]*c[1]])/129140163 - 
  (13926400*f[a[2]]*f[a[1]^2*b[3]*c[1]]*f[a[2]*b[3]*c[1]])/129140163 - 
  (349798400*f[a[1]^2*a[2]]*f[a[1]^2*b[3]*c[1]]*f[a[2]*b[3]*c[1]])/
   3486784401 + (1282048000*f[a[1]^4*a[2]]*f[a[1]^2*b[3]*c[1]]*
     f[a[2]*b[3]*c[1]])/10460353203 - 
  (2357657600*f[a[2]^3]*f[a[1]^2*b[3]*c[1]]*f[a[2]*b[3]*c[1]])/
   3486784401 + (2228224000*f[a[1]*a[2]*a[3]]*f[a[1]^2*b[3]*c[1]]*
     f[a[2]*b[3]*c[1]])/10460353203 + 
  (298188800*f[a[4]]*f[a[1]^2*b[3]*c[1]]*f[a[2]*b[3]*c[1]])/
   3486784401 - (1097728000*f[a[1]^2*a[4]]*f[a[1]^2*b[3]*c[1]]*
     f[a[2]*b[3]*c[1]])/10460353203 - 
  (610304000*f[a[6]]*f[a[1]^2*b[3]*c[1]]*f[a[2]*b[3]*c[1]])/
   10460353203 - (13926400*f[a[2]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[a[2]*b[3]*c[1]])/129140163 - 
  (349798400*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[a[2]*b[3]*c[1]])/3486784401 + 
  (298188800*f[a[4]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*f[a[2]*b[3]*c[1]])/
   3486784401 - (409600*f[1]*f[a[2]*b[3]*c[1]]^2)/1594323 - 
  (6963200*f[a[1]^2]*f[a[2]*b[3]*c[1]]^2)/129140163 + 
  (100352000*f[a[1]^4]*f[a[2]*b[3]*c[1]]^2)/1162261467 - 
  (51200000*f[a[1]^6]*f[a[2]*b[3]*c[1]]^2)/387420489 + 
  (819200*f[a[2]^2]*f[a[2]*b[3]*c[1]]^2)/1594323 - 
  (3326771200*f[a[1]^2*a[2]^2]*f[a[2]*b[3]*c[1]]^2)/31381059609 - 
  (26214400*f[a[1]*a[3]]*f[a[2]*b[3]*c[1]]^2)/129140163 + 
  (760217600*f[a[1]^3*a[3]]*f[a[2]*b[3]*c[1]]^2)/10460353203 - 
  (2583347200*f[a[3]^2]*f[a[2]*b[3]*c[1]]^2)/10460353203 + 
  (3014656000*f[a[1]*a[5]]*f[a[2]*b[3]*c[1]]^2)/31381059609 - 
  (409600*f[b[1]*c[1]]*f[a[2]*b[3]*c[1]]^2)/1594323 - 
  (6963200*f[a[1]^2*b[1]*c[1]]*f[a[2]*b[3]*c[1]]^2)/129140163 + 
  (100352000*f[a[1]^4*b[1]*c[1]]*f[a[2]*b[3]*c[1]]^2)/1162261467 + 
  (819200*f[a[2]^2*b[1]*c[1]]*f[a[2]*b[3]*c[1]]^2)/1594323 - 
  (26214400*f[a[1]*a[3]*b[1]*c[1]]*f[a[2]*b[3]*c[1]]^2)/129140163 - 
  (425984*f[a[2]]*f[a[1]*b[1]*c[1]]*f[b[4]*c[1]])/1594323 + 
  (2129920*f[a[1]^2*a[2]]*f[a[1]*b[1]*c[1]]*f[b[4]*c[1]])/43046721 - 
  (10649600*f[a[1]^4*a[2]]*f[a[1]*b[1]*c[1]]*f[b[4]*c[1]])/387420489 - 
  (11075584*f[a[2]^3]*f[a[1]*b[1]*c[1]]*f[b[4]*c[1]])/129140163 - 
  (13631488*f[a[1]*a[2]*a[3]]*f[a[1]*b[1]*c[1]]*f[b[4]*c[1]])/
   387420489 + (1703936*f[a[4]]*f[a[1]*b[1]*c[1]]*f[b[4]*c[1]])/
   14348907 - (8519680*f[a[1]^2*a[4]]*f[a[1]*b[1]*c[1]]*f[b[4]*c[1]])/
   387420489 - (10649600*f[a[6]]*f[a[1]*b[1]*c[1]]*f[b[4]*c[1]])/
   129140163 - (13631488*f[a[1]*a[2]]*f[a[1]^2*b[1]*c[1]]*
     f[b[4]*c[1]])/43046721 + 
  (68157440*f[a[1]^3*a[2]]*f[a[1]^2*b[1]*c[1]]*f[b[4]*c[1]])/
   387420489 + (13631488*f[a[2]*a[3]]*f[a[1]^2*b[1]*c[1]]*
     f[b[4]*c[1]])/387420489 + 
  (54525952*f[a[1]*a[4]]*f[a[1]^2*b[1]*c[1]]*f[b[4]*c[1]])/387420489 + 
  (2129920*f[a[2]]*f[a[1]^3*b[1]*c[1]]*f[b[4]*c[1]])/14348907 - 
  (76251136*f[a[1]^2*a[2]]*f[a[1]^3*b[1]*c[1]]*f[b[4]*c[1]])/
   129140163 + (2234286080*f[a[1]^4*a[2]]*f[a[1]^3*b[1]*c[1]]*
     f[b[4]*c[1]])/3486784401 - 
  (2991259648*f[a[2]^3]*f[a[1]^3*b[1]*c[1]]*f[b[4]*c[1]])/10460353203 + 
  (95420416*f[a[1]*a[2]*a[3]]*f[a[1]^3*b[1]*c[1]]*f[b[4]*c[1]])/
   1162261467 - (8519680*f[a[4]]*f[a[1]^3*b[1]*c[1]]*f[b[4]*c[1]])/
   129140163 + (305004544*f[a[1]^2*a[4]]*f[a[1]^3*b[1]*c[1]]*
     f[b[4]*c[1]])/1162261467 + 
  (53248000*f[a[6]]*f[a[1]^3*b[1]*c[1]]*f[b[4]*c[1]])/1162261467 + 
  (136314880*f[a[1]*a[2]]*f[a[1]^4*b[1]*c[1]]*f[b[4]*c[1]])/387420489 - 
  (16003366912*f[a[1]^3*a[2]]*f[a[1]^4*b[1]*c[1]]*f[b[4]*c[1]])/
   10460353203 - (136314880*f[a[2]*a[3]]*f[a[1]^4*b[1]*c[1]]*
     f[b[4]*c[1]])/3486784401 - 
  (545259520*f[a[1]*a[4]]*f[a[1]^4*b[1]*c[1]]*f[b[4]*c[1]])/
   3486784401 + (425984*f[a[1]]*f[a[2]*b[1]*c[1]]*f[b[4]*c[1]])/
   1594323 - (2129920*f[a[1]^3]*f[a[2]*b[1]*c[1]]*f[b[4]*c[1]])/
   14348907 + (53248000*f[a[1]^5]*f[a[2]*b[1]*c[1]]*f[b[4]*c[1]])/
   387420489 + (11075584*f[a[1]*a[2]^2]*f[a[2]*b[1]*c[1]]*
     f[b[4]*c[1]])/387420489 + 
  (2129920*f[a[3]]*f[a[2]*b[1]*c[1]]*f[b[4]*c[1]])/4782969 - 
  (4685824*f[a[1]^2*a[3]]*f[a[2]*b[1]*c[1]]*f[b[4]*c[1]])/387420489 - 
  (23429120*f[a[5]]*f[a[2]*b[1]*c[1]]*f[b[4]*c[1]])/129140163 + 
  (13631488*f[a[1]^2]*f[a[1]*a[2]*b[1]*c[1]]*f[b[4]*c[1]])/43046721 - 
  (136314880*f[a[1]^4]*f[a[1]*a[2]*b[1]*c[1]]*f[b[4]*c[1]])/387420489 + 
  (1703936000*f[a[1]^6]*f[a[1]*a[2]*b[1]*c[1]]*f[b[4]*c[1]])/
   3486784401 + (218103808*f[a[2]^2]*f[a[1]*a[2]*b[1]*c[1]]*
     f[b[4]*c[1]])/387420489 - 
  (27262976*f[a[1]^2*a[2]^2]*f[a[1]*a[2]*b[1]*c[1]]*f[b[4]*c[1]])/
   387420489 + (95420416*f[a[1]*a[3]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[b[4]*c[1]])/387420489 - 
  (13631488*f[a[1]^3*a[3]]*f[a[1]*a[2]*b[1]*c[1]]*f[b[4]*c[1]])/
   1162261467 - (68157440*f[a[3]^2]*f[a[1]*a[2]*b[1]*c[1]]*
     f[b[4]*c[1]])/1162261467 - 
  (4362076160*f[a[2]*a[4]]*f[a[1]*a[2]*b[1]*c[1]]*f[b[4]*c[1]])/
   31381059609 - (2930769920*f[a[1]*a[5]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[b[4]*c[1]])/31381059609 - 
  (2129920*f[a[1]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[4]*c[1]])/43046721 + 
  (76251136*f[a[1]^3]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[4]*c[1]])/
   129140163 - (11171430400*f[a[1]^5]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[b[4]*c[1]])/10460353203 + 
  (24261492736*f[a[1]*a[2]^2]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[4]*c[1]])/
   31381059609 - (10649600*f[a[3]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[b[4]*c[1]])/129140163 + 
  (952926208*f[a[1]^2*a[3]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[4]*c[1]])/
   3486784401 + (117145600*f[a[5]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[b[4]*c[1]])/3486784401 - 
  (218103808*f[a[1]*a[2]]*f[a[2]^2*b[1]*c[1]]*f[b[4]*c[1]])/387420489 + 
  (1090519040*f[a[1]^3*a[2]]*f[a[2]^2*b[1]*c[1]]*f[b[4]*c[1]])/
   3486784401 - (1090519040*f[a[2]*a[3]]*f[a[2]^2*b[1]*c[1]]*
     f[b[4]*c[1]])/1162261467 + 
  (872415232*f[a[1]*a[4]]*f[a[2]^2*b[1]*c[1]]*f[b[4]*c[1]])/
   31381059609 - (2129920*f[a[2]]*f[a[3]*b[1]*c[1]]*f[b[4]*c[1]])/
   4782969 + (10649600*f[a[1]^2*a[2]]*f[a[3]*b[1]*c[1]]*f[b[4]*c[1]])/
   129140163 - (53248000*f[a[1]^4*a[2]]*f[a[3]*b[1]*c[1]]*
     f[b[4]*c[1]])/1162261467 - 
  (55377920*f[a[2]^3]*f[a[3]*b[1]*c[1]]*f[b[4]*c[1]])/387420489 - 
  (68157440*f[a[1]*a[2]*a[3]]*f[a[3]*b[1]*c[1]]*f[b[4]*c[1]])/
   1162261467 - (83492864*f[a[4]]*f[a[3]*b[1]*c[1]]*f[b[4]*c[1]])/
   129140163 + (417464320*f[a[1]^2*a[4]]*f[a[3]*b[1]*c[1]]*
     f[b[4]*c[1]])/3486784401 + 
  (2706276352*f[a[6]]*f[a[3]*b[1]*c[1]]*f[b[4]*c[1]])/10460353203 - 
  (95420416*f[a[1]*a[2]]*f[a[1]*a[3]*b[1]*c[1]]*f[b[4]*c[1]])/
   387420489 + (477102080*f[a[1]^3*a[2]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[b[4]*c[1]])/3486784401 - 
  (4075814912*f[a[2]*a[3]]*f[a[1]*a[3]*b[1]*c[1]]*f[b[4]*c[1]])/
   10460353203 - (1363148800*f[a[1]*a[4]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[b[4]*c[1]])/3486784401 - 
  (1703936*f[a[1]]*f[a[4]*b[1]*c[1]]*f[b[4]*c[1]])/14348907 + 
  (8519680*f[a[1]^3]*f[a[4]*b[1]*c[1]]*f[b[4]*c[1]])/129140163 - 
  (212992000*f[a[1]^5]*f[a[4]*b[1]*c[1]]*f[b[4]*c[1]])/3486784401 - 
  (44302336*f[a[1]*a[2]^2]*f[a[4]*b[1]*c[1]]*f[b[4]*c[1]])/3486784401 + 
  (83492864*f[a[3]]*f[a[4]*b[1]*c[1]]*f[b[4]*c[1]])/129140163 - 
  (175505408*f[a[1]^2*a[3]]*f[a[4]*b[1]*c[1]]*f[b[4]*c[1]])/
   1162261467 + (25976504320*f[a[5]]*f[a[4]*b[1]*c[1]]*f[b[4]*c[1]])/
   31381059609 - (66560*f[1]*f[b[2]*c[1]]*f[b[4]*c[1]])/59049 + 
  (332800*f[a[1]^2]*f[b[2]*c[1]]*f[b[4]*c[1]])/1594323 - 
  (1664000*f[a[1]^4]*f[b[2]*c[1]]*f[b[4]*c[1]])/14348907 + 
  (41600000*f[a[1]^6]*f[b[2]*c[1]]*f[b[4]*c[1]])/387420489 - 
  (1730560*f[a[2]^2]*f[b[2]*c[1]]*f[b[4]*c[1]])/14348907 + 
  (8652800*f[a[1]^2*a[2]^2]*f[b[2]*c[1]]*f[b[4]*c[1]])/387420489 - 
  (2129920*f[a[1]*a[3]]*f[b[2]*c[1]]*f[b[4]*c[1]])/14348907 + 
  (10649600*f[a[1]^3*a[3]]*f[b[2]*c[1]]*f[b[4]*c[1]])/129140163 + 
  (59438080*f[a[3]^2]*f[b[2]*c[1]]*f[b[4]*c[1]])/387420489 + 
  (136314880*f[a[2]*a[4]]*f[b[2]*c[1]]*f[b[4]*c[1]])/1162261467 + 
  (138444800*f[a[1]*a[5]]*f[b[2]*c[1]]*f[b[4]*c[1]])/1162261467 - 
  (66560*f[b[1]*c[1]]*f[b[2]*c[1]]*f[b[4]*c[1]])/59049 + 
  (332800*f[a[1]^2*b[1]*c[1]]*f[b[2]*c[1]]*f[b[4]*c[1]])/1594323 - 
  (1664000*f[a[1]^4*b[1]*c[1]]*f[b[2]*c[1]]*f[b[4]*c[1]])/14348907 - 
  (1730560*f[a[2]^2*b[1]*c[1]]*f[b[2]*c[1]]*f[b[4]*c[1]])/14348907 - 
  (2129920*f[a[1]*a[3]*b[1]*c[1]]*f[b[2]*c[1]]*f[b[4]*c[1]])/14348907 - 
  (1064960*f[a[1]]*f[a[1]*b[2]*c[1]]*f[b[4]*c[1]])/1594323 + 
  (5324800*f[a[1]^3]*f[a[1]*b[2]*c[1]]*f[b[4]*c[1]])/14348907 - 
  (133120000*f[a[1]^5]*f[a[1]*b[2]*c[1]]*f[b[4]*c[1]])/387420489 - 
  (27688960*f[a[1]*a[2]^2]*f[a[1]*b[2]*c[1]]*f[b[4]*c[1]])/387420489 + 
  (1064960*f[a[3]]*f[a[1]*b[2]*c[1]]*f[b[4]*c[1]])/14348907 - 
  (24494080*f[a[1]^2*a[3]]*f[a[1]*b[2]*c[1]]*f[b[4]*c[1]])/129140163 - 
  (69222400*f[a[5]]*f[a[1]*b[2]*c[1]]*f[b[4]*c[1]])/1162261467 - 
  (1064960*f[a[1]*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*f[b[4]*c[1]])/1594323 + 
  (5324800*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*f[b[4]*c[1]])/
   14348907 + (1064960*f[a[3]*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*
     f[b[4]*c[1]])/14348907 + 
  (332800*f[1]*f[a[1]^2*b[2]*c[1]]*f[b[4]*c[1]])/1594323 - 
  (11914240*f[a[1]^2]*f[a[1]^2*b[2]*c[1]]*f[b[4]*c[1]])/14348907 + 
  (349107200*f[a[1]^4]*f[a[1]^2*b[2]*c[1]]*f[b[4]*c[1]])/387420489 - 
  (12987520000*f[a[1]^6]*f[a[1]^2*b[2]*c[1]]*f[b[4]*c[1]])/
   10460353203 - (519301120*f[a[2]^2]*f[a[1]^2*b[2]*c[1]]*
     f[b[4]*c[1]])/1162261467 - 
  (61634560*f[a[1]^2*a[2]^2]*f[a[1]^2*b[2]*c[1]]*f[b[4]*c[1]])/
   31381059609 + (14909440*f[a[1]*a[3]]*f[a[1]^2*b[2]*c[1]]*
     f[b[4]*c[1]])/129140163 - 
  (1314160640*f[a[1]^3*a[3]]*f[a[1]^2*b[2]*c[1]]*f[b[4]*c[1]])/
   3486784401 - (399426560*f[a[3]^2]*f[a[1]^2*b[2]*c[1]]*f[b[4]*c[1]])/
   10460353203 + (5861539840*f[a[2]*a[4]]*f[a[1]^2*b[2]*c[1]]*
     f[b[4]*c[1]])/31381059609 - 
  (969113600*f[a[1]*a[5]]*f[a[1]^2*b[2]*c[1]]*f[b[4]*c[1]])/
   10460353203 + (332800*f[b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*
     f[b[4]*c[1]])/1594323 - (11914240*f[a[1]^2*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[1]]*f[b[4]*c[1]])/14348907 + 
  (349107200*f[a[1]^4*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*f[b[4]*c[1]])/
   387420489 - (519301120*f[a[2]^2*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*
     f[b[4]*c[1]])/1162261467 + 
  (14909440*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*f[b[4]*c[1]])/
   129140163 + (5324800*f[a[1]]*f[a[1]^3*b[2]*c[1]]*f[b[4]*c[1]])/
   14348907 - (625131520*f[a[1]^3]*f[a[1]^3*b[2]*c[1]]*f[b[4]*c[1]])/
   387420489 + (29259776000*f[a[1]^5]*f[a[1]^3*b[2]*c[1]]*
     f[b[4]*c[1]])/10460353203 - 
  (8308817920*f[a[1]*a[2]^2]*f[a[1]^3*b[2]*c[1]]*f[b[4]*c[1]])/
   10460353203 - (5324800*f[a[3]]*f[a[1]^3*b[2]*c[1]]*f[b[4]*c[1]])/
   129140163 + (912670720*f[a[1]^2*a[3]]*f[a[1]^3*b[2]*c[1]]*
     f[b[4]*c[1]])/3486784401 + 
  (346112000*f[a[5]]*f[a[1]^3*b[2]*c[1]]*f[b[4]*c[1]])/10460353203 + 
  (5324800*f[a[1]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*f[b[4]*c[1]])/
   14348907 - (625131520*f[a[1]^3*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[b[4]*c[1]])/387420489 - 
  (5324800*f[a[3]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*f[b[4]*c[1]])/
   129140163 + (17039360*f[a[2]]*f[a[2]*b[2]*c[1]]*f[b[4]*c[1]])/
   14348907 - (85196800*f[a[1]^2*a[2]]*f[a[2]*b[2]*c[1]]*f[b[4]*c[1]])/
   387420489 + (425984000*f[a[1]^4*a[2]]*f[a[2]*b[2]*c[1]]*
     f[b[4]*c[1]])/3486784401 + 
  (443023360*f[a[2]^3]*f[a[2]*b[2]*c[1]]*f[b[4]*c[1]])/1162261467 + 
  (545259520*f[a[1]*a[2]*a[3]]*f[a[2]*b[2]*c[1]]*f[b[4]*c[1]])/
   3486784401 - (68157440*f[a[4]]*f[a[2]*b[2]*c[1]]*f[b[4]*c[1]])/
   1162261467 + (340787200*f[a[1]^2*a[4]]*f[a[2]*b[2]*c[1]]*
     f[b[4]*c[1]])/31381059609 + 
  (187432960*f[a[6]]*f[a[2]*b[2]*c[1]]*f[b[4]*c[1]])/3486784401 + 
  (17039360*f[a[2]*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*f[b[4]*c[1]])/
   14348907 - (85196800*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*
     f[b[4]*c[1]])/387420489 - 
  (68157440*f[a[4]*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*f[b[4]*c[1]])/
   1162261467 + (1090519040*f[a[1]*a[2]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[4]*c[1]])/1162261467 - 
  (5452595200*f[a[1]^3*a[2]]*f[a[1]*a[2]*b[2]*c[1]]*f[b[4]*c[1]])/
   10460353203 + (1090519040*f[a[2]*a[3]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[4]*c[1]])/3486784401 - 
  (4362076160*f[a[1]*a[4]]*f[a[1]*a[2]*b[2]*c[1]]*f[b[4]*c[1]])/
   31381059609 + (1090519040*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]]*f[b[4]*c[1]])/1162261467 + 
  (1064960*f[a[1]]*f[a[3]*b[2]*c[1]]*f[b[4]*c[1]])/14348907 - 
  (5324800*f[a[1]^3]*f[a[3]*b[2]*c[1]]*f[b[4]*c[1]])/129140163 + 
  (133120000*f[a[1]^5]*f[a[3]*b[2]*c[1]]*f[b[4]*c[1]])/3486784401 + 
  (27688960*f[a[1]*a[2]^2]*f[a[3]*b[2]*c[1]]*f[b[4]*c[1]])/3486784401 - 
  (684769280*f[a[3]]*f[a[3]*b[2]*c[1]]*f[b[4]*c[1]])/387420489 + 
  (3628318720*f[a[1]^2*a[3]]*f[a[3]*b[2]*c[1]]*f[b[4]*c[1]])/
   10460353203 + (250265600*f[a[5]]*f[a[3]*b[2]*c[1]]*f[b[4]*c[1]])/
   3486784401 + (1064960*f[a[1]*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[b[4]*c[1]])/14348907 - 
  (5324800*f[a[1]^3*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*f[b[4]*c[1]])/
   129140163 - (684769280*f[a[3]*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[b[4]*c[1]])/387420489 - 
  (2129920*f[a[2]]*f[a[1]*b[3]*c[1]]*f[b[4]*c[1]])/14348907 + 
  (10649600*f[a[1]^2*a[2]]*f[a[1]*b[3]*c[1]]*f[b[4]*c[1]])/387420489 - 
  (53248000*f[a[1]^4*a[2]]*f[a[1]*b[3]*c[1]]*f[b[4]*c[1]])/3486784401 - 
  (55377920*f[a[2]^3]*f[a[1]*b[3]*c[1]]*f[b[4]*c[1]])/1162261467 - 
  (68157440*f[a[1]*a[2]*a[3]]*f[a[1]*b[3]*c[1]]*f[b[4]*c[1]])/
   3486784401 + (8519680*f[a[4]]*f[a[1]*b[3]*c[1]]*f[b[4]*c[1]])/
   129140163 - (42598400*f[a[1]^2*a[4]]*f[a[1]*b[3]*c[1]]*
     f[b[4]*c[1]])/3486784401 - 
  (53248000*f[a[6]]*f[a[1]*b[3]*c[1]]*f[b[4]*c[1]])/1162261467 - 
  (2129920*f[a[2]*b[1]*c[1]]*f[a[1]*b[3]*c[1]]*f[b[4]*c[1]])/14348907 + 
  (10649600*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[3]*c[1]]*f[b[4]*c[1]])/
   387420489 + (8519680*f[a[4]*b[1]*c[1]]*f[a[1]*b[3]*c[1]]*
     f[b[4]*c[1]])/129140163 - 
  (68157440*f[a[1]*a[2]]*f[a[1]^2*b[3]*c[1]]*f[b[4]*c[1]])/387420489 + 
  (340787200*f[a[1]^3*a[2]]*f[a[1]^2*b[3]*c[1]]*f[b[4]*c[1]])/
   3486784401 + (68157440*f[a[2]*a[3]]*f[a[1]^2*b[3]*c[1]]*
     f[b[4]*c[1]])/3486784401 + 
  (272629760*f[a[1]*a[4]]*f[a[1]^2*b[3]*c[1]]*f[b[4]*c[1]])/
   3486784401 - (68157440*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[b[4]*c[1]])/387420489 + 
  (2129920*f[a[1]]*f[a[2]*b[3]*c[1]]*f[b[4]*c[1]])/14348907 - 
  (10649600*f[a[1]^3]*f[a[2]*b[3]*c[1]]*f[b[4]*c[1]])/129140163 + 
  (266240000*f[a[1]^5]*f[a[2]*b[3]*c[1]]*f[b[4]*c[1]])/3486784401 + 
  (55377920*f[a[1]*a[2]^2]*f[a[2]*b[3]*c[1]]*f[b[4]*c[1]])/3486784401 + 
  (10649600*f[a[3]]*f[a[2]*b[3]*c[1]]*f[b[4]*c[1]])/43046721 - 
  (23429120*f[a[1]^2*a[3]]*f[a[2]*b[3]*c[1]]*f[b[4]*c[1]])/3486784401 - 
  (117145600*f[a[5]]*f[a[2]*b[3]*c[1]]*f[b[4]*c[1]])/1162261467 + 
  (2129920*f[a[1]*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*f[b[4]*c[1]])/14348907 - 
  (10649600*f[a[1]^3*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*f[b[4]*c[1]])/
   129140163 + (10649600*f[a[3]*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[b[4]*c[1]])/43046721 + (173056*f[1]*f[b[4]*c[1]]^2)/531441 - 
  (865280*f[a[1]^2]*f[b[4]*c[1]]^2)/14348907 + 
  (4326400*f[a[1]^4]*f[b[4]*c[1]]^2)/129140163 - 
  (108160000*f[a[1]^6]*f[b[4]*c[1]]^2)/3486784401 + 
  (4499456*f[a[2]^2]*f[b[4]*c[1]]^2)/129140163 - 
  (22497280*f[a[1]^2*a[2]^2]*f[b[4]*c[1]]^2)/3486784401 + 
  (5537792*f[a[1]*a[3]]*f[b[4]*c[1]]^2)/129140163 - 
  (27688960*f[a[1]^3*a[3]]*f[b[4]*c[1]]^2)/1162261467 - 
  (154539008*f[a[3]^2]*f[b[4]*c[1]]^2)/3486784401 - 
  (354418688*f[a[2]*a[4]]*f[b[4]*c[1]]^2)/10460353203 - 
  (359956480*f[a[1]*a[5]]*f[b[4]*c[1]]^2)/10460353203 + 
  (173056*f[b[1]*c[1]]*f[b[4]*c[1]]^2)/531441 - 
  (865280*f[a[1]^2*b[1]*c[1]]*f[b[4]*c[1]]^2)/14348907 + 
  (4326400*f[a[1]^4*b[1]*c[1]]*f[b[4]*c[1]]^2)/129140163 + 
  (4499456*f[a[2]^2*b[1]*c[1]]*f[b[4]*c[1]]^2)/129140163 + 
  (5537792*f[a[1]*a[3]*b[1]*c[1]]*f[b[4]*c[1]]^2)/129140163 + 
  (425984*f[a[2]]*f[b[1]*c[1]]*f[a[1]*b[4]*c[1]])/1594323 - 
  (2129920*f[a[1]^2*a[2]]*f[b[1]*c[1]]*f[a[1]*b[4]*c[1]])/43046721 + 
  (10649600*f[a[1]^4*a[2]]*f[b[1]*c[1]]*f[a[1]*b[4]*c[1]])/387420489 + 
  (11075584*f[a[2]^3]*f[b[1]*c[1]]*f[a[1]*b[4]*c[1]])/129140163 + 
  (13631488*f[a[1]*a[2]*a[3]]*f[b[1]*c[1]]*f[a[1]*b[4]*c[1]])/
   387420489 - (1703936*f[a[4]]*f[b[1]*c[1]]*f[a[1]*b[4]*c[1]])/
   14348907 + (8519680*f[a[1]^2*a[4]]*f[b[1]*c[1]]*f[a[1]*b[4]*c[1]])/
   387420489 + (10649600*f[a[6]]*f[b[1]*c[1]]*f[a[1]*b[4]*c[1]])/
   129140163 - (15761408*f[a[2]]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]*b[4]*c[1]])/43046721 - 
  (46432256*f[a[1]^2*a[2]]*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[4]*c[1]])/
   387420489 + (1787002880*f[a[1]^4*a[2]]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]*b[4]*c[1]])/10460353203 + 
  (2260271104*f[a[2]^3]*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[4]*c[1]])/
   10460353203 - (95420416*f[a[1]*a[2]*a[3]]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]*b[4]*c[1]])/3486784401 + 
  (63045632*f[a[4]]*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[4]*c[1]])/387420489 + 
  (185729024*f[a[1]^2*a[4]]*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[4]*c[1]])/
   3486784401 - (394035200*f[a[6]]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]*b[4]*c[1]])/3486784401 - 
  (218103808*f[a[1]*a[2]]*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[4]*c[1]])/
   387420489 - (3707764736*f[a[1]^3*a[2]]*f[a[1]^3*b[1]*c[1]]*
     f[a[1]*b[4]*c[1]])/10460353203 + 
  (218103808*f[a[2]*a[3]]*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[4]*c[1]])/
   3486784401 + (872415232*f[a[1]*a[4]]*f[a[1]^3*b[1]*c[1]]*
     f[a[1]*b[4]*c[1]])/3486784401 + 
  (48988160*f[a[2]]*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[4]*c[1]])/129140163 - 
  (4170809344*f[a[1]^2*a[2]]*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[4]*c[1]])/
   3486784401 - (101888131072*f[a[1]^4*a[2]]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]*b[4]*c[1]])/94143178827 - 
  (293638438912*f[a[2]^3]*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[4]*c[1]])/
   282429536481 + (5493489664*f[a[1]*a[2]*a[3]]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]*b[4]*c[1]])/31381059609 - 
  (195952640*f[a[4]]*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[4]*c[1]])/
   1162261467 + (16683237376*f[a[1]^2*a[4]]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]*b[4]*c[1]])/31381059609 + 
  (1224704000*f[a[6]]*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[4]*c[1]])/
   10460353203 - (425984*f[1]*f[a[2]*b[1]*c[1]]*f[a[1]*b[4]*c[1]])/
   1594323 + (15761408*f[a[1]^2]*f[a[2]*b[1]*c[1]]*f[a[1]*b[4]*c[1]])/
   43046721 - (48988160*f[a[1]^4]*f[a[2]*b[1]*c[1]]*f[a[1]*b[4]*c[1]])/
   129140163 + (5378048000*f[a[1]^6]*f[a[2]*b[1]*c[1]]*
     f[a[1]*b[4]*c[1]])/10460353203 - 
  (229179392*f[a[2]^2]*f[a[2]*b[1]*c[1]]*f[a[1]*b[4]*c[1]])/387420489 + 
  (500105216*f[a[1]^2*a[2]^2]*f[a[2]*b[1]*c[1]]*f[a[1]*b[4]*c[1]])/
   3486784401 + (27262976*f[a[1]*a[3]]*f[a[2]*b[1]*c[1]]*
     f[a[1]*b[4]*c[1]])/129140163 + 
  (27262976*f[a[1]^3*a[3]]*f[a[2]*b[1]*c[1]]*f[a[1]*b[4]*c[1]])/
   3486784401 - (233013248*f[a[3]^2]*f[a[2]*b[1]*c[1]]*
     f[a[1]*b[4]*c[1]])/10460353203 + 
  (1744830464*f[a[2]*a[4]]*f[a[2]*b[1]*c[1]]*f[a[1]*b[4]*c[1]])/
   10460353203 - (681574400*f[a[1]*a[5]]*f[a[2]*b[1]*c[1]]*
     f[a[1]*b[4]*c[1]])/10460353203 + 
  (218103808*f[a[1]^3]*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]*b[4]*c[1]])/
   387420489 - (10905190400*f[a[1]^5]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[1]*b[4]*c[1]])/10460353203 - 
  (3489660928*f[a[1]*a[2]^2]*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]*b[4]*c[1]])/
   31381059609 + (109051904*f[a[3]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[1]*b[4]*c[1]])/387420489 + 
  (763363328*f[a[1]^2*a[3]]*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]*b[4]*c[1]])/
   3486784401 - (3816816640*f[a[5]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[1]*b[4]*c[1]])/31381059609 + 
  (2129920*f[1]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[4]*c[1]])/43046721 + 
  (46432256*f[a[1]^2]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[4]*c[1]])/
   387420489 + (4170809344*f[a[1]^4]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*b[4]*c[1]])/3486784401 - 
  (991999590400*f[a[1]^6]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[4]*c[1]])/
   282429536481 + (20885995520*f[a[2]^2]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*b[4]*c[1]])/31381059609 + 
  (14511570944*f[a[1]^2*a[2]^2]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*b[4]*c[1]])/94143178827 + 
  (954204160*f[a[1]*a[3]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[4]*c[1]])/
   3486784401 + (32361152512*f[a[1]^3*a[3]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*b[4]*c[1]])/94143178827 - 
  (19118587904*f[a[3]^2]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[4]*c[1]])/
   282429536481 - (123882962944*f[a[2]*a[4]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*b[4]*c[1]])/847288609443 - 
  (32579256320*f[a[1]*a[5]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*b[4]*c[1]])/282429536481 + 
  (229179392*f[a[2]]*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[4]*c[1]])/387420489 - 
  (20885995520*f[a[1]^2*a[2]]*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[4]*c[1]])/
   31381059609 + (191671500800*f[a[1]^4*a[2]]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]*b[4]*c[1]])/282429536481 + 
  (61793239040*f[a[2]^3]*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[4]*c[1]])/
   31381059609 - (24073207808*f[a[1]*a[2]*a[3]]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]*b[4]*c[1]])/94143178827 - 
  (1271136256*f[a[4]]*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[4]*c[1]])/
   31381059609 - (7602962432*f[a[1]^2*a[4]]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]*b[4]*c[1]])/847288609443 + 
  (3229810688*f[a[6]]*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[4]*c[1]])/
   94143178827 - (109051904*f[a[1]*a[2]]*f[a[3]*b[1]*c[1]]*
     f[a[1]*b[4]*c[1]])/387420489 + 
  (545259520*f[a[1]^3*a[2]]*f[a[3]*b[1]*c[1]]*f[a[1]*b[4]*c[1]])/
   3486784401 + (4689231872*f[a[2]*a[3]]*f[a[3]*b[1]*c[1]]*
     f[a[1]*b[4]*c[1]])/10460353203 - 
  (436207616*f[a[1]*a[4]]*f[a[3]*b[1]*c[1]]*f[a[1]*b[4]*c[1]])/
   1162261467 - (27262976*f[a[2]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]*b[4]*c[1]])/129140163 - 
  (954204160*f[a[1]^2*a[2]]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*b[4]*c[1]])/
   3486784401 + (3407872000*f[a[1]^4*a[2]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]*b[4]*c[1]])/10460353203 + 
  (15321792512*f[a[2]^3]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*b[4]*c[1]])/
   31381059609 + (218103808*f[a[1]*a[2]*a[3]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]*b[4]*c[1]])/31381059609 - 
  (1417674752*f[a[4]]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*b[4]*c[1]])/
   3486784401 - (11886657536*f[a[1]^2*a[4]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]*b[4]*c[1]])/31381059609 + 
  (47901048832*f[a[6]]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*b[4]*c[1]])/
   282429536481 + (1703936*f[1]*f[a[4]*b[1]*c[1]]*f[a[1]*b[4]*c[1]])/
   14348907 - (63045632*f[a[1]^2]*f[a[4]*b[1]*c[1]]*f[a[1]*b[4]*c[1]])/
   387420489 + (195952640*f[a[1]^4]*f[a[4]*b[1]*c[1]]*
     f[a[1]*b[4]*c[1]])/1162261467 - 
  (21512192000*f[a[1]^6]*f[a[4]*b[1]*c[1]]*f[a[1]*b[4]*c[1]])/
   94143178827 + (1271136256*f[a[2]^2]*f[a[4]*b[1]*c[1]]*
     f[a[1]*b[4]*c[1]])/31381059609 - 
  (19114754048*f[a[1]^2*a[2]^2]*f[a[4]*b[1]*c[1]]*f[a[1]*b[4]*c[1]])/
   847288609443 + (1417674752*f[a[1]*a[3]]*f[a[4]*b[1]*c[1]]*
     f[a[1]*b[4]*c[1]])/3486784401 - 
  (109051904*f[a[1]^3*a[3]]*f[a[4]*b[1]*c[1]]*f[a[1]*b[4]*c[1]])/
   387420489 - (9536929792*f[a[3]^2]*f[a[4]*b[1]*c[1]]*
     f[a[1]*b[4]*c[1]])/94143178827 - 
  (160524402688*f[a[2]*a[4]]*f[a[4]*b[1]*c[1]]*f[a[1]*b[4]*c[1]])/
   282429536481 + (399675228160*f[a[1]*a[5]]*f[a[4]*b[1]*c[1]]*
     f[a[1]*b[4]*c[1]])/847288609443 - 
  (1064960*f[a[1]]*f[b[2]*c[1]]*f[a[1]*b[4]*c[1]])/1594323 + 
  (5324800*f[a[1]^3]*f[b[2]*c[1]]*f[a[1]*b[4]*c[1]])/14348907 - 
  (133120000*f[a[1]^5]*f[b[2]*c[1]]*f[a[1]*b[4]*c[1]])/387420489 - 
  (27688960*f[a[1]*a[2]^2]*f[b[2]*c[1]]*f[a[1]*b[4]*c[1]])/387420489 + 
  (1064960*f[a[3]]*f[b[2]*c[1]]*f[a[1]*b[4]*c[1]])/14348907 - 
  (24494080*f[a[1]^2*a[3]]*f[b[2]*c[1]]*f[a[1]*b[4]*c[1]])/129140163 - 
  (69222400*f[a[5]]*f[b[2]*c[1]]*f[a[1]*b[4]*c[1]])/1162261467 - 
  (1064960*f[a[1]*b[1]*c[1]]*f[b[2]*c[1]]*f[a[1]*b[4]*c[1]])/1594323 + 
  (5324800*f[a[1]^3*b[1]*c[1]]*f[b[2]*c[1]]*f[a[1]*b[4]*c[1]])/
   14348907 + (1064960*f[a[3]*b[1]*c[1]]*f[b[2]*c[1]]*
     f[a[1]*b[4]*c[1]])/14348907 - 
  (1064960*f[1]*f[a[1]*b[2]*c[1]]*f[a[1]*b[4]*c[1]])/1594323 - 
  (1064960*f[a[1]^2]*f[a[1]*b[2]*c[1]]*f[a[1]*b[4]*c[1]])/1594323 + 
  (314163200*f[a[1]^4]*f[a[1]*b[2]*c[1]]*f[a[1]*b[4]*c[1]])/387420489 - 
  (12113920000*f[a[1]^6]*f[a[1]*b[2]*c[1]]*f[a[1]*b[4]*c[1]])/
   10460353203 + (462192640*f[a[2]^2]*f[a[1]*b[2]*c[1]]*
     f[a[1]*b[4]*c[1]])/1162261467 - 
  (4969103360*f[a[1]^2*a[2]^2]*f[a[1]*b[2]*c[1]]*f[a[1]*b[4]*c[1]])/
   31381059609 - (1090519040*f[a[1]^3*a[3]]*f[a[1]*b[2]*c[1]]*
     f[a[1]*b[4]*c[1]])/3486784401 + 
  (848773120*f[a[3]^2]*f[a[1]*b[2]*c[1]]*f[a[1]*b[4]*c[1]])/
   10460353203 - (4362076160*f[a[2]*a[4]]*f[a[1]*b[2]*c[1]]*
     f[a[1]*b[4]*c[1]])/31381059609 - 
  (1064960*f[b[1]*c[1]]*f[a[1]*b[2]*c[1]]*f[a[1]*b[4]*c[1]])/1594323 - 
  (1064960*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*f[a[1]*b[4]*c[1]])/
   1594323 + (314163200*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*
     f[a[1]*b[4]*c[1]])/387420489 + 
  (462192640*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*f[a[1]*b[4]*c[1]])/
   1162261467 - (1064960*f[a[1]]*f[a[1]^2*b[2]*c[1]]*
     f[a[1]*b[4]*c[1]])/1594323 - 
  (401489920*f[a[1]^3]*f[a[1]^2*b[2]*c[1]]*f[a[1]*b[4]*c[1]])/
   387420489 + (23668736000*f[a[1]^5]*f[a[1]^2*b[2]*c[1]]*
     f[a[1]*b[4]*c[1]])/10460353203 + 
  (6481346560*f[a[1]*a[2]^2]*f[a[1]^2*b[2]*c[1]]*f[a[1]*b[4]*c[1]])/
   31381059609 + (1064960*f[a[3]]*f[a[1]^2*b[2]*c[1]]*
     f[a[1]*b[4]*c[1]])/14348907 - 
  (116080640*f[a[1]^2*a[3]]*f[a[1]^2*b[2]*c[1]]*f[a[1]*b[4]*c[1]])/
   3486784401 - (69222400*f[a[5]]*f[a[1]^2*b[2]*c[1]]*
     f[a[1]*b[4]*c[1]])/1162261467 - 
  (1064960*f[a[1]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*f[a[1]*b[4]*c[1]])/
   1594323 - (401489920*f[a[1]^3*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*
     f[a[1]*b[4]*c[1]])/387420489 + 
  (1064960*f[a[3]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*f[a[1]*b[4]*c[1]])/
   14348907 + (5324800*f[1]*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[4]*c[1]])/
   14348907 - (401489920*f[a[1]^2]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*b[4]*c[1]])/387420489 - 
  (23251271680*f[a[1]^4]*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[4]*c[1]])/
   10460353203 + (242837504000*f[a[1]^6]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*b[4]*c[1]])/31381059609 - 
  (3678371840*f[a[2]^2]*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[4]*c[1]])/
   3486784401 + (960593920*f[a[1]^2*a[2]^2]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*b[4]*c[1]])/10460353203 + 
  (545259520*f[a[1]*a[3]]*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[4]*c[1]])/
   3486784401 - (9269411840*f[a[1]^3*a[3]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*b[4]*c[1]])/94143178827 - 
  (5879644160*f[a[3]^2]*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[4]*c[1]])/
   94143178827 + (126500208640*f[a[2]*a[4]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*b[4]*c[1]])/282429536481 - 
  (35441868800*f[a[1]*a[5]]*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[4]*c[1]])/
   282429536481 + (5324800*f[b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*b[4]*c[1]])/14348907 - 
  (401489920*f[a[1]^2*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*b[4]*c[1]])/387420489 - 
  (23251271680*f[a[1]^4*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*b[4]*c[1]])/10460353203 - 
  (3678371840*f[a[2]^2*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*b[4]*c[1]])/3486784401 + 
  (545259520*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*b[4]*c[1]])/3486784401 + 
  (545259520*f[a[1]*a[2]]*f[a[2]*b[2]*c[1]]*f[a[1]*b[4]*c[1]])/
   1162261467 - (2726297600*f[a[1]^3*a[2]]*f[a[2]*b[2]*c[1]]*
     f[a[1]*b[4]*c[1]])/10460353203 - 
  (545259520*f[a[2]*a[3]]*f[a[2]*b[2]*c[1]]*f[a[1]*b[4]*c[1]])/
   1162261467 + (2181038080*f[a[1]*a[4]]*f[a[2]*b[2]*c[1]]*
     f[a[1]*b[4]*c[1]])/31381059609 + 
  (545259520*f[a[1]*a[2]*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*
     f[a[1]*b[4]*c[1]])/1162261467 + 
  (545259520*f[a[2]]*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]*b[4]*c[1]])/
   1162261467 + (23446159360*f[a[1]^2*a[2]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]*b[4]*c[1]])/31381059609 - 
  (248093081600*f[a[1]^4*a[2]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]*b[4]*c[1]])/282429536481 - 
  (125409689600*f[a[2]^3]*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]*b[4]*c[1]])/
   94143178827 - (8724152320*f[a[1]*a[2]*a[3]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]*b[4]*c[1]])/282429536481 + 
  (2181038080*f[a[4]]*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]*b[4]*c[1]])/
   31381059609 - (15267266560*f[a[1]^2*a[4]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]*b[4]*c[1]])/282429536481 - 
  (3816816640*f[a[6]]*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]*b[4]*c[1]])/
   94143178827 + (545259520*f[a[2]*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]*b[4]*c[1]])/1162261467 + 
  (23446159360*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]*b[4]*c[1]])/31381059609 + 
  (2181038080*f[a[4]*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]*b[4]*c[1]])/31381059609 + 
  (1064960*f[1]*f[a[3]*b[2]*c[1]]*f[a[1]*b[4]*c[1]])/14348907 + 
  (1064960*f[a[1]^2]*f[a[3]*b[2]*c[1]]*f[a[1]*b[4]*c[1]])/14348907 - 
  (314163200*f[a[1]^4]*f[a[3]*b[2]*c[1]]*f[a[1]*b[4]*c[1]])/
   3486784401 + (12113920000*f[a[1]^6]*f[a[3]*b[2]*c[1]]*
     f[a[1]*b[4]*c[1]])/94143178827 + 
  (917995520*f[a[2]^2]*f[a[3]*b[2]*c[1]]*f[a[1]*b[4]*c[1]])/
   1162261467 - (12883886080*f[a[1]^2*a[2]^2]*f[a[3]*b[2]*c[1]]*
     f[a[1]*b[4]*c[1]])/94143178827 - 
  (10905190400*f[a[1]*a[3]]*f[a[3]*b[2]*c[1]]*f[a[1]*b[4]*c[1]])/
   10460353203 + (57797509120*f[a[1]^3*a[3]]*f[a[3]*b[2]*c[1]]*
     f[a[1]*b[4]*c[1]])/94143178827 + 
  (1064960*f[a[3]^2]*f[a[3]*b[2]*c[1]]*f[a[1]*b[4]*c[1]])/4782969 + 
  (109051904000*f[a[2]*a[4]]*f[a[3]*b[2]*c[1]]*f[a[1]*b[4]*c[1]])/
   282429536481 + (10905190400*f[a[1]*a[5]]*f[a[3]*b[2]*c[1]]*
     f[a[1]*b[4]*c[1]])/282429536481 + 
  (1064960*f[b[1]*c[1]]*f[a[3]*b[2]*c[1]]*f[a[1]*b[4]*c[1]])/14348907 + 
  (1064960*f[a[1]^2*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*f[a[1]*b[4]*c[1]])/
   14348907 - (314163200*f[a[1]^4*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[a[1]*b[4]*c[1]])/3486784401 + 
  (917995520*f[a[2]^2*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*f[a[1]*b[4]*c[1]])/
   1162261467 - (10905190400*f[a[1]*a[3]*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[a[1]*b[4]*c[1]])/10460353203 + 
  (2129920*f[a[2]]*f[b[3]*c[1]]*f[a[1]*b[4]*c[1]])/14348907 - 
  (10649600*f[a[1]^2*a[2]]*f[b[3]*c[1]]*f[a[1]*b[4]*c[1]])/387420489 + 
  (53248000*f[a[1]^4*a[2]]*f[b[3]*c[1]]*f[a[1]*b[4]*c[1]])/3486784401 + 
  (55377920*f[a[2]^3]*f[b[3]*c[1]]*f[a[1]*b[4]*c[1]])/1162261467 + 
  (68157440*f[a[1]*a[2]*a[3]]*f[b[3]*c[1]]*f[a[1]*b[4]*c[1]])/
   3486784401 - (8519680*f[a[4]]*f[b[3]*c[1]]*f[a[1]*b[4]*c[1]])/
   129140163 + (42598400*f[a[1]^2*a[4]]*f[b[3]*c[1]]*
     f[a[1]*b[4]*c[1]])/3486784401 + 
  (53248000*f[a[6]]*f[b[3]*c[1]]*f[a[1]*b[4]*c[1]])/1162261467 + 
  (2129920*f[a[2]*b[1]*c[1]]*f[b[3]*c[1]]*f[a[1]*b[4]*c[1]])/14348907 - 
  (10649600*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[3]*c[1]]*f[a[1]*b[4]*c[1]])/
   387420489 - (8519680*f[a[4]*b[1]*c[1]]*f[b[3]*c[1]]*
     f[a[1]*b[4]*c[1]])/129140163 - 
  (78807040*f[a[2]]*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[4]*c[1]])/387420489 - 
  (232161280*f[a[1]^2*a[2]]*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[4]*c[1]])/
   3486784401 + (8935014400*f[a[1]^4*a[2]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]*b[4]*c[1]])/94143178827 + 
  (11301355520*f[a[2]^3]*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[4]*c[1]])/
   94143178827 - (477102080*f[a[1]*a[2]*a[3]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]*b[4]*c[1]])/31381059609 + 
  (315228160*f[a[4]]*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[4]*c[1]])/
   3486784401 + (928645120*f[a[1]^2*a[4]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]*b[4]*c[1]])/31381059609 - 
  (1970176000*f[a[6]]*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[4]*c[1]])/
   31381059609 - (78807040*f[a[2]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]*b[4]*c[1]])/387420489 - 
  (232161280*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]*b[4]*c[1]])/3486784401 + 
  (315228160*f[a[4]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[4]*c[1]])/
   3486784401 - (2129920*f[1]*f[a[2]*b[3]*c[1]]*f[a[1]*b[4]*c[1]])/
   14348907 + (78807040*f[a[1]^2]*f[a[2]*b[3]*c[1]]*f[a[1]*b[4]*c[1]])/
   387420489 - (244940800*f[a[1]^4]*f[a[2]*b[3]*c[1]]*
     f[a[1]*b[4]*c[1]])/1162261467 + 
  (26890240000*f[a[1]^6]*f[a[2]*b[3]*c[1]]*f[a[1]*b[4]*c[1]])/
   94143178827 - (1145896960*f[a[2]^2]*f[a[2]*b[3]*c[1]]*
     f[a[1]*b[4]*c[1]])/3486784401 + 
  (2500526080*f[a[1]^2*a[2]^2]*f[a[2]*b[3]*c[1]]*f[a[1]*b[4]*c[1]])/
   31381059609 + (136314880*f[a[1]*a[3]]*f[a[2]*b[3]*c[1]]*
     f[a[1]*b[4]*c[1]])/1162261467 + 
  (136314880*f[a[1]^3*a[3]]*f[a[2]*b[3]*c[1]]*f[a[1]*b[4]*c[1]])/
   31381059609 - (1165066240*f[a[3]^2]*f[a[2]*b[3]*c[1]]*
     f[a[1]*b[4]*c[1]])/94143178827 + 
  (8724152320*f[a[2]*a[4]]*f[a[2]*b[3]*c[1]]*f[a[1]*b[4]*c[1]])/
   94143178827 - (3407872000*f[a[1]*a[5]]*f[a[2]*b[3]*c[1]]*
     f[a[1]*b[4]*c[1]])/94143178827 - 
  (2129920*f[b[1]*c[1]]*f[a[2]*b[3]*c[1]]*f[a[1]*b[4]*c[1]])/14348907 + 
  (78807040*f[a[1]^2*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*f[a[1]*b[4]*c[1]])/
   387420489 - (244940800*f[a[1]^4*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[a[1]*b[4]*c[1]])/1162261467 - 
  (1145896960*f[a[2]^2*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*f[a[1]*b[4]*c[1]])/
   3486784401 + (136314880*f[a[1]*a[3]*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[a[1]*b[4]*c[1]])/1162261467 + 
  (5537792*f[a[1]]*f[b[4]*c[1]]*f[a[1]*b[4]*c[1]])/14348907 - 
  (27688960*f[a[1]^3]*f[b[4]*c[1]]*f[a[1]*b[4]*c[1]])/129140163 + 
  (692224000*f[a[1]^5]*f[b[4]*c[1]]*f[a[1]*b[4]*c[1]])/3486784401 + 
  (143982592*f[a[1]*a[2]^2]*f[b[4]*c[1]]*f[a[1]*b[4]*c[1]])/
   3486784401 - (5537792*f[a[3]]*f[b[4]*c[1]]*f[a[1]*b[4]*c[1]])/
   129140163 + (127369216*f[a[1]^2*a[3]]*f[b[4]*c[1]]*
     f[a[1]*b[4]*c[1]])/1162261467 + 
  (359956480*f[a[5]]*f[b[4]*c[1]]*f[a[1]*b[4]*c[1]])/10460353203 + 
  (5537792*f[a[1]*b[1]*c[1]]*f[b[4]*c[1]]*f[a[1]*b[4]*c[1]])/14348907 - 
  (27688960*f[a[1]^3*b[1]*c[1]]*f[b[4]*c[1]]*f[a[1]*b[4]*c[1]])/
   129140163 - (5537792*f[a[3]*b[1]*c[1]]*f[b[4]*c[1]]*
     f[a[1]*b[4]*c[1]])/129140163 + 
  (2768896*f[1]*f[a[1]*b[4]*c[1]]^2)/14348907 + 
  (2768896*f[a[1]^2]*f[a[1]*b[4]*c[1]]^2)/14348907 - 
  (816824320*f[a[1]^4]*f[a[1]*b[4]*c[1]]^2)/3486784401 + 
  (31496192000*f[a[1]^6]*f[a[1]*b[4]*c[1]]^2)/94143178827 - 
  (1201700864*f[a[2]^2]*f[a[1]*b[4]*c[1]]^2)/10460353203 + 
  (12919668736*f[a[1]^2*a[2]^2]*f[a[1]*b[4]*c[1]]^2)/282429536481 + 
  (2835349504*f[a[1]^3*a[3]]*f[a[1]*b[4]*c[1]]^2)/31381059609 - 
  (2206810112*f[a[3]^2]*f[a[1]*b[4]*c[1]]^2)/94143178827 + 
  (11341398016*f[a[2]*a[4]]*f[a[1]*b[4]*c[1]]^2)/282429536481 + 
  (2768896*f[b[1]*c[1]]*f[a[1]*b[4]*c[1]]^2)/14348907 + 
  (2768896*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[4]*c[1]]^2)/14348907 - 
  (816824320*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[4]*c[1]]^2)/3486784401 - 
  (1201700864*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[4]*c[1]]^2)/10460353203 + 
  (5680*f[1]^2*f[b[5]*c[1]])/6561 + 
  (90880*f[a[1]]^2*f[b[5]*c[1]])/177147 - 
  (56800*f[1]*f[a[1]^2]*f[b[5]*c[1]])/177147 + 
  (1016720*f[a[1]^2]^2*f[b[5]*c[1]])/1594323 - 
  (908800*f[a[1]]*f[a[1]^3]*f[b[5]*c[1]])/1594323 + 
  (53346560*f[a[1]^3]^2*f[b[5]*c[1]])/43046721 + 
  (284000*f[1]*f[a[1]^4]*f[b[5]*c[1]])/1594323 - 
  (59583200*f[a[1]^2]*f[a[1]^4]*f[b[5]*c[1]])/43046721 + 
  (3861053840*f[a[1]^4]^2*f[b[5]*c[1]])/1162261467 + 
  (22720000*f[a[1]]*f[a[1]^5]*f[b[5]*c[1]])/43046721 - 
  (4993856000*f[a[1]^3]*f[a[1]^5]*f[b[5]*c[1]])/1162261467 + 
  (119607622400*f[a[1]^5]^2*f[b[5]*c[1]])/10460353203 - 
  (7100000*f[1]*f[a[1]^6]*f[b[5]*c[1]])/43046721 + 
  (2216620000*f[a[1]^2]*f[a[1]^6]*f[b[5]*c[1]])/1162261467 - 
  (18987388000*f[a[1]^4]*f[a[1]^6]*f[b[5]*c[1]])/1162261467 + 
  (4539470966800*f[a[1]^6]^2*f[b[5]*c[1]])/94143178827 - 
  (1454080*f[a[2]]^2*f[b[5]*c[1]])/1594323 - 
  (93061120*f[a[1]*a[2]]^2*f[b[5]*c[1]])/129140163 + 
  (14540800*f[a[2]]*f[a[1]^2*a[2]]*f[b[5]*c[1]])/43046721 - 
  (3831500800*f[a[1]^2*a[2]]^2*f[b[5]*c[1]])/3486784401 + 
  (930611200*f[a[1]*a[2]]*f[a[1]^3*a[2]]*f[b[5]*c[1]])/1162261467 - 
  (26150174720*f[a[1]^3*a[2]]^2*f[b[5]*c[1]])/10460353203 - 
  (72704000*f[a[2]]*f[a[1]^4*a[2]]*f[b[5]*c[1]])/387420489 + 
  (75539456000*f[a[1]^2*a[2]]*f[a[1]^4*a[2]]*f[b[5]*c[1]])/
   31381059609 - (6461409505280*f[a[1]^4*a[2]]^2*f[b[5]*c[1]])/
   847288609443 + (295360*f[1]*f[a[2]^2]*f[b[5]*c[1]])/1594323 + 
  (88630720*f[a[1]^2]*f[a[2]^2]*f[b[5]*c[1]])/129140163 - 
  (908459200*f[a[1]^4]*f[a[2]^2]*f[b[5]*c[1]])/1162261467 + 
  (11448040000*f[a[1]^6]*f[a[2]^2]*f[b[5]*c[1]])/10460353203 + 
  (249442880*f[a[2]^2]^2*f[b[5]*c[1]])/129140163 + 
  (4725760*f[a[1]]*f[a[1]*a[2]^2]*f[b[5]*c[1]])/43046721 + 
  (1418091520*f[a[1]^3]*f[a[1]*a[2]^2]*f[b[5]*c[1]])/1162261467 - 
  (72676736000*f[a[1]^5]*f[a[1]*a[2]^2]*f[b[5]*c[1]])/31381059609 + 
  (59743421440*f[a[1]*a[2]^2]^2*f[b[5]*c[1]])/31381059609 - 
  (1476800*f[1]*f[a[1]^2*a[2]^2]*f[b[5]*c[1]])/43046721 + 
  (10519360*f[a[1]^2]*f[a[1]^2*a[2]^2]*f[b[5]*c[1]])/3486784401 + 
  (10588905920*f[a[1]^4]*f[a[1]^2*a[2]^2]*f[b[5]*c[1]])/3486784401 - 
  (794298584000*f[a[1]^6]*f[a[1]^2*a[2]^2]*f[b[5]*c[1]])/94143178827 - 
  (20030270080*f[a[2]^2]*f[a[1]^2*a[2]^2]*f[b[5]*c[1]])/31381059609 + 
  (8535696998080*f[a[1]^2*a[2]^2]^2*f[b[5]*c[1]])/2541865828329 - 
  (75612160*f[a[2]]*f[a[2]^3]*f[b[5]*c[1]])/129140163 - 
  (22689464320*f[a[1]^2*a[2]]*f[a[2]^3]*f[b[5]*c[1]])/10460353203 + 
  (232565555200*f[a[1]^4*a[2]]*f[a[2]^3]*f[b[5]*c[1]])/94143178827 - 
  (193538048000*f[a[2]^3]^2*f[b[5]*c[1]])/31381059609 - 
  (181760*f[a[1]]*f[a[3]]*f[b[5]*c[1]])/1594323 + 
  (908800*f[a[1]^3]*f[a[3]]*f[b[5]*c[1]])/14348907 - 
  (22720000*f[a[1]^5]*f[a[3]]*f[b[5]*c[1]])/387420489 - 
  (4725760*f[a[1]*a[2]^2]*f[a[3]]*f[b[5]*c[1]])/387420489 + 
  (58435840*f[a[3]]^2*f[b[5]*c[1]])/43046721 + 
  (363520*f[1]*f[a[1]*a[3]]*f[b[5]*c[1]])/1594323 - 
  (2544640*f[a[1]^2]*f[a[1]*a[3]]*f[b[5]*c[1]])/14348907 + 
  (67251200*f[a[1]^4]*f[a[1]*a[3]]*f[b[5]*c[1]])/387420489 - 
  (2408320000*f[a[1]^6]*f[a[1]*a[3]]*f[b[5]*c[1]])/10460353203 + 
  (474757120*f[a[2]^2]*f[a[1]*a[3]]*f[b[5]*c[1]])/387420489 - 
  (2525009920*f[a[1]^2*a[2]^2]*f[a[1]*a[3]]*f[b[5]*c[1]])/10460353203 + 
  (956784640*f[a[1]*a[3]]^2*f[b[5]*c[1]])/1162261467 + 
  (4180480*f[a[1]]*f[a[1]^2*a[3]]*f[b[5]*c[1]])/14348907 - 
  (155768320*f[a[1]^3]*f[a[1]^2*a[3]]*f[b[5]*c[1]])/387420489 + 
  (6220736000*f[a[1]^5]*f[a[1]^2*a[3]]*f[b[5]*c[1]])/10460353203 + 
  (44158592000*f[a[1]*a[2]^2]*f[a[1]^2*a[3]]*f[b[5]*c[1]])/
   31381059609 - (619256320*f[a[3]]*f[a[1]^2*a[3]]*f[b[5]*c[1]])/
   1162261467 + (10983484160*f[a[1]^2*a[3]]^2*f[b[5]*c[1]])/10460353203 - 
  (1817600*f[1]*f[a[1]^3*a[3]]*f[b[5]*c[1]])/14348907 + 
  (224291840*f[a[1]^2]*f[a[1]^3*a[3]]*f[b[5]*c[1]])/387420489 - 
  (12548346880*f[a[1]^4]*f[a[1]^3*a[3]]*f[b[5]*c[1]])/10460353203 + 
  (25637248000*f[a[1]^6]*f[a[1]^3*a[3]]*f[b[5]*c[1]])/10460353203 - 
  (4143400960*f[a[2]^2]*f[a[1]^3*a[3]]*f[b[5]*c[1]])/10460353203 + 
  (234855004160*f[a[1]^2*a[2]^2]*f[a[1]^3*a[3]]*f[b[5]*c[1]])/
   94143178827 - (10126213120*f[a[1]*a[3]]*f[a[1]^3*a[3]]*
     f[b[5]*c[1]])/10460353203 + 
  (592342753280*f[a[1]^3*a[3]]^2*f[b[5]*c[1]])/282429536481 - 
  (186122240*f[a[1]*a[2]]*f[a[2]*a[3]]*f[b[5]*c[1]])/387420489 + 
  (930611200*f[a[1]^3*a[2]]*f[a[2]*a[3]]*f[b[5]*c[1]])/3486784401 - 
  (20194263040*f[a[2]*a[3]]^2*f[b[5]*c[1]])/10460353203 - 
  (93061120*f[a[2]]*f[a[1]*a[2]*a[3]]*f[b[5]*c[1]])/387420489 - 
  (14982840320*f[a[1]^2*a[2]]*f[a[1]*a[2]*a[3]]*f[b[5]*c[1]])/
   31381059609 + (156807987200*f[a[1]^4*a[2]]*f[a[1]*a[2]*a[3]]*
     f[b[5]*c[1]])/282429536481 - 
  (121537822720*f[a[2]^3]*f[a[1]*a[2]*a[3]]*f[b[5]*c[1]])/31381059609 - 
  (1191926824960*f[a[1]*a[2]*a[3]]^2*f[b[5]*c[1]])/847288609443 - 
  (10144480*f[1]*f[a[3]^2]*f[b[5]*c[1]])/43046721 + 
  (68171360*f[a[1]^2]*f[a[3]^2]*f[b[5]*c[1]])/1162261467 - 
  (428101600*f[a[1]^4]*f[a[3]^2]*f[b[5]*c[1]])/10460353203 + 
  (12883660000*f[a[1]^6]*f[a[3]^2]*f[b[5]*c[1]])/282429536481 + 
  (20674995520*f[a[2]^2]*f[a[3]^2]*f[b[5]*c[1]])/10460353203 - 
  (102921304640*f[a[1]^2*a[2]^2]*f[a[3]^2]*f[b[5]*c[1]])/282429536481 - 
  (1354839040*f[a[1]*a[3]]*f[a[3]^2]*f[b[5]*c[1]])/3486784401 + 
  (6960317440*f[a[1]^3*a[3]]*f[a[3]^2]*f[b[5]*c[1]])/31381059609 + 
  (402301784720*f[a[3]^2]^2*f[b[5]*c[1]])/94143178827 + 
  (11632640*f[a[2]]*f[a[4]]*f[b[5]*c[1]])/129140163 - 
  (58163200*f[a[1]^2*a[2]]*f[a[4]]*f[b[5]*c[1]])/3486784401 + 
  (290816000*f[a[1]^4*a[2]]*f[a[4]]*f[b[5]*c[1]])/31381059609 + 
  (302448640*f[a[2]^3]*f[a[4]]*f[b[5]*c[1]])/10460353203 + 
  (372244480*f[a[1]*a[2]*a[3]]*f[a[4]]*f[b[5]*c[1]])/31381059609 - 
  (2070609920*f[a[4]]^2*f[b[5]*c[1]])/1162261467 + 
  (744488960*f[a[1]*a[2]]*f[a[1]*a[4]]*f[b[5]*c[1]])/3486784401 - 
  (3722444800*f[a[1]^3*a[2]]*f[a[1]*a[4]]*f[b[5]*c[1]])/31381059609 - 
  (27546091520*f[a[2]*a[3]]*f[a[1]*a[4]]*f[b[5]*c[1]])/31381059609 - 
  (34246492160*f[a[1]*a[4]]^2*f[b[5]*c[1]])/31381059609 - 
  (58163200*f[a[2]]*f[a[1]^2*a[4]]*f[b[5]*c[1]])/3486784401 + 
  (4664688640*f[a[1]^2*a[2]]*f[a[1]^2*a[4]]*f[b[5]*c[1]])/10460353203 - 
  (418367897600*f[a[1]^4*a[2]]*f[a[1]^2*a[4]]*f[b[5]*c[1]])/
   847288609443 + (90757857280*f[a[2]^3]*f[a[1]^2*a[4]]*f[b[5]*c[1]])/
   847288609443 - (100133765120*f[a[1]*a[2]*a[3]]*f[a[1]^2*a[4]]*
     f[b[5]*c[1]])/94143178827 + 
  (20706099200*f[a[4]]*f[a[1]^2*a[4]]*f[b[5]*c[1]])/31381059609 - 
  (394462822400*f[a[1]^2*a[4]]^2*f[b[5]*c[1]])/282429536481 - 
  (23265280*f[1]*f[a[2]*a[4]]*f[b[5]*c[1]])/129140163 - 
  (1000407040*f[a[1]^2]*f[a[2]*a[4]]*f[b[5]*c[1]])/3486784401 + 
  (10585702400*f[a[1]^4]*f[a[2]*a[4]]*f[b[5]*c[1]])/31381059609 - 
  (404234240000*f[a[1]^6]*f[a[2]*a[4]]*f[b[5]*c[1]])/847288609443 - 
  (2186936320*f[a[2]^2]*f[a[2]*a[4]]*f[b[5]*c[1]])/10460353203 + 
  (46530560*f[a[1]^2*a[2]^2]*f[a[2]*a[4]]*f[b[5]*c[1]])/10460353203 + 
  (18239979520*f[a[1]*a[3]]*f[a[2]*a[4]]*f[b[5]*c[1]])/31381059609 - 
  (126935367680*f[a[1]^3*a[3]]*f[a[2]*a[4]]*f[b[5]*c[1]])/
   282429536481 + (2483173130240*f[a[3]^2]*f[a[2]*a[4]]*f[b[5]*c[1]])/
   847288609443 + (4800464814080*f[a[2]*a[4]]^2*f[b[5]*c[1]])/
   2541865828329 + (11814400*f[a[1]]*f[a[5]]*f[b[5]*c[1]])/129140163 - 
  (59072000*f[a[1]^3]*f[a[5]]*f[b[5]*c[1]])/1162261467 + 
  (1476800000*f[a[1]^5]*f[a[5]]*f[b[5]*c[1]])/31381059609 + 
  (307174400*f[a[1]*a[2]^2]*f[a[5]]*f[b[5]*c[1]])/31381059609 - 
  (42713600*f[a[3]]*f[a[5]]*f[b[5]*c[1]])/387420489 + 
  (1396825600*f[a[1]^2*a[3]]*f[a[5]]*f[b[5]*c[1]])/31381059609 + 
  (23223929600*f[a[5]]^2*f[b[5]*c[1]])/10460353203 - 
  (23628800*f[1]*f[a[1]*a[5]]*f[b[5]*c[1]])/129140163 + 
  (165401600*f[a[1]^2]*f[a[1]*a[5]]*f[b[5]*c[1]])/1162261467 - 
  (4371328000*f[a[1]^4]*f[a[1]*a[5]]*f[b[5]*c[1]])/31381059609 + 
  (156540800000*f[a[1]^6]*f[a[1]*a[5]]*f[b[5]*c[1]])/847288609443 - 
  (15969433600*f[a[2]^2]*f[a[1]*a[5]]*f[b[5]*c[1]])/31381059609 + 
  (9964083200*f[a[1]^2*a[2]^2]*f[a[1]*a[5]]*f[b[5]*c[1]])/94143178827 - 
  (2995404800*f[a[1]*a[3]]*f[a[1]*a[5]]*f[b[5]*c[1]])/31381059609 + 
  (27074969600*f[a[1]^3*a[3]]*f[a[1]*a[5]]*f[b[5]*c[1]])/282429536481 + 
  (33402035200*f[a[3]^2]*f[a[1]*a[5]]*f[b[5]*c[1]])/847288609443 + 
  (3162216857600*f[a[2]*a[4]]*f[a[1]*a[5]]*f[b[5]*c[1]])/
   2541865828329 + (3374963302400*f[a[1]*a[5]]^2*f[b[5]*c[1]])/
   2541865828329 - (31989760*f[a[2]]*f[a[6]]*f[b[5]*c[1]])/387420489 + 
  (159948800*f[a[1]^2*a[2]]*f[a[6]]*f[b[5]*c[1]])/10460353203 - 
  (799744000*f[a[1]^4*a[2]]*f[a[6]]*f[b[5]*c[1]])/94143178827 - 
  (831733760*f[a[2]^3]*f[a[6]]*f[b[5]*c[1]])/31381059609 - 
  (1023672320*f[a[1]*a[2]*a[3]]*f[a[6]]*f[b[5]*c[1]])/94143178827 + 
  (1035304960*f[a[4]]*f[a[6]]*f[b[5]*c[1]])/10460353203 - 
  (5176524800*f[a[1]^2*a[4]]*f[a[6]]*f[b[5]*c[1]])/282429536481 - 
  (747994746880*f[a[6]]^2*f[b[5]*c[1]])/282429536481 + 
  (56800*f[1]*f[b[1]*c[1]]*f[b[5]*c[1]])/59049 - 
  (284000*f[a[1]^2]*f[b[1]*c[1]]*f[b[5]*c[1]])/1594323 + 
  (1420000*f[a[1]^4]*f[b[1]*c[1]]*f[b[5]*c[1]])/14348907 - 
  (35500000*f[a[1]^6]*f[b[1]*c[1]]*f[b[5]*c[1]])/387420489 + 
  (1476800*f[a[2]^2]*f[b[1]*c[1]]*f[b[5]*c[1]])/14348907 - 
  (7384000*f[a[1]^2*a[2]^2]*f[b[1]*c[1]]*f[b[5]*c[1]])/387420489 + 
  (1817600*f[a[1]*a[3]]*f[b[1]*c[1]]*f[b[5]*c[1]])/14348907 - 
  (9088000*f[a[1]^3*a[3]]*f[b[1]*c[1]]*f[b[5]*c[1]])/129140163 - 
  (50722400*f[a[3]^2]*f[b[1]*c[1]]*f[b[5]*c[1]])/387420489 - 
  (116326400*f[a[2]*a[4]]*f[b[1]*c[1]]*f[b[5]*c[1]])/1162261467 - 
  (118144000*f[a[1]*a[5]]*f[b[1]*c[1]]*f[b[5]*c[1]])/1162261467 + 
  (5680*f[b[1]*c[1]]^2*f[b[5]*c[1]])/59049 + 
  (908800*f[a[1]]*f[a[1]*b[1]*c[1]]*f[b[5]*c[1]])/1594323 - 
  (4544000*f[a[1]^3]*f[a[1]*b[1]*c[1]]*f[b[5]*c[1]])/14348907 + 
  (113600000*f[a[1]^5]*f[a[1]*b[1]*c[1]]*f[b[5]*c[1]])/387420489 + 
  (23628800*f[a[1]*a[2]^2]*f[a[1]*b[1]*c[1]]*f[b[5]*c[1]])/387420489 - 
  (908800*f[a[3]]*f[a[1]*b[1]*c[1]]*f[b[5]*c[1]])/14348907 + 
  (20902400*f[a[1]^2*a[3]]*f[a[1]*b[1]*c[1]]*f[b[5]*c[1]])/129140163 + 
  (59072000*f[a[5]]*f[a[1]*b[1]*c[1]]*f[b[5]*c[1]])/1162261467 + 
  (90880*f[a[1]*b[1]*c[1]]^2*f[b[5]*c[1]])/1594323 - 
  (284000*f[1]*f[a[1]^2*b[1]*c[1]]*f[b[5]*c[1]])/1594323 + 
  (10167200*f[a[1]^2]*f[a[1]^2*b[1]*c[1]]*f[b[5]*c[1]])/14348907 - 
  (297916000*f[a[1]^4]*f[a[1]^2*b[1]*c[1]]*f[b[5]*c[1]])/387420489 + 
  (11083100000*f[a[1]^6]*f[a[1]^2*b[1]*c[1]]*f[b[5]*c[1]])/
   10460353203 + (443153600*f[a[2]^2]*f[a[1]^2*b[1]*c[1]]*
     f[b[5]*c[1]])/1162261467 + 
  (52596800*f[a[1]^2*a[2]^2]*f[a[1]^2*b[1]*c[1]]*f[b[5]*c[1]])/
   31381059609 - (12723200*f[a[1]*a[3]]*f[a[1]^2*b[1]*c[1]]*
     f[b[5]*c[1]])/129140163 + 
  (1121459200*f[a[1]^3*a[3]]*f[a[1]^2*b[1]*c[1]]*f[b[5]*c[1]])/
   3486784401 + (340856800*f[a[3]^2]*f[a[1]^2*b[1]*c[1]]*f[b[5]*c[1]])/
   10460353203 - (5002035200*f[a[2]*a[4]]*f[a[1]^2*b[1]*c[1]]*
     f[b[5]*c[1]])/31381059609 + 
  (827008000*f[a[1]*a[5]]*f[a[1]^2*b[1]*c[1]]*f[b[5]*c[1]])/
   10460353203 - (56800*f[b[1]*c[1]]*f[a[1]^2*b[1]*c[1]]*f[b[5]*c[1]])/
   1594323 + (1016720*f[a[1]^2*b[1]*c[1]]^2*f[b[5]*c[1]])/14348907 - 
  (4544000*f[a[1]]*f[a[1]^3*b[1]*c[1]]*f[b[5]*c[1]])/14348907 + 
  (533465600*f[a[1]^3]*f[a[1]^3*b[1]*c[1]]*f[b[5]*c[1]])/387420489 - 
  (24969280000*f[a[1]^5]*f[a[1]^3*b[1]*c[1]]*f[b[5]*c[1]])/
   10460353203 + (7090457600*f[a[1]*a[2]^2]*f[a[1]^3*b[1]*c[1]]*
     f[b[5]*c[1]])/10460353203 + 
  (4544000*f[a[3]]*f[a[1]^3*b[1]*c[1]]*f[b[5]*c[1]])/129140163 - 
  (778841600*f[a[1]^2*a[3]]*f[a[1]^3*b[1]*c[1]]*f[b[5]*c[1]])/
   3486784401 - (295360000*f[a[5]]*f[a[1]^3*b[1]*c[1]]*f[b[5]*c[1]])/
   10460353203 - (908800*f[a[1]*b[1]*c[1]]*f[a[1]^3*b[1]*c[1]]*
     f[b[5]*c[1]])/14348907 + 
  (53346560*f[a[1]^3*b[1]*c[1]]^2*f[b[5]*c[1]])/387420489 + 
  (1420000*f[1]*f[a[1]^4*b[1]*c[1]]*f[b[5]*c[1]])/14348907 - 
  (297916000*f[a[1]^2]*f[a[1]^4*b[1]*c[1]]*f[b[5]*c[1]])/387420489 + 
  (38610538400*f[a[1]^4]*f[a[1]^4*b[1]*c[1]]*f[b[5]*c[1]])/
   10460353203 - (94936940000*f[a[1]^6]*f[a[1]^4*b[1]*c[1]]*
     f[b[5]*c[1]])/10460353203 - 
  (4542296000*f[a[2]^2]*f[a[1]^4*b[1]*c[1]]*f[b[5]*c[1]])/10460353203 + 
  (52944529600*f[a[1]^2*a[2]^2]*f[a[1]^4*b[1]*c[1]]*f[b[5]*c[1]])/
   31381059609 + (336256000*f[a[1]*a[3]]*f[a[1]^4*b[1]*c[1]]*
     f[b[5]*c[1]])/3486784401 - 
  (62741734400*f[a[1]^3*a[3]]*f[a[1]^4*b[1]*c[1]]*f[b[5]*c[1]])/
   94143178827 - (2140508000*f[a[3]^2]*f[a[1]^4*b[1]*c[1]]*
     f[b[5]*c[1]])/94143178827 + 
  (52928512000*f[a[2]*a[4]]*f[a[1]^4*b[1]*c[1]]*f[b[5]*c[1]])/
   282429536481 - (21856640000*f[a[1]*a[5]]*f[a[1]^4*b[1]*c[1]]*
     f[b[5]*c[1]])/282429536481 + 
  (284000*f[b[1]*c[1]]*f[a[1]^4*b[1]*c[1]]*f[b[5]*c[1]])/14348907 - 
  (59583200*f[a[1]^2*b[1]*c[1]]*f[a[1]^4*b[1]*c[1]]*f[b[5]*c[1]])/
   387420489 + (3861053840*f[a[1]^4*b[1]*c[1]]^2*f[b[5]*c[1]])/
   10460353203 - (14540800*f[a[2]]*f[a[2]*b[1]*c[1]]*f[b[5]*c[1]])/
   14348907 + (72704000*f[a[1]^2*a[2]]*f[a[2]*b[1]*c[1]]*f[b[5]*c[1]])/
   387420489 - (363520000*f[a[1]^4*a[2]]*f[a[2]*b[1]*c[1]]*
     f[b[5]*c[1]])/3486784401 - 
  (378060800*f[a[2]^3]*f[a[2]*b[1]*c[1]]*f[b[5]*c[1]])/1162261467 - 
  (465305600*f[a[1]*a[2]*a[3]]*f[a[2]*b[1]*c[1]]*f[b[5]*c[1]])/
   3486784401 + (58163200*f[a[4]]*f[a[2]*b[1]*c[1]]*f[b[5]*c[1]])/
   1162261467 - (290816000*f[a[1]^2*a[4]]*f[a[2]*b[1]*c[1]]*
     f[b[5]*c[1]])/31381059609 - 
  (159948800*f[a[6]]*f[a[2]*b[1]*c[1]]*f[b[5]*c[1]])/3486784401 - 
  (1454080*f[a[2]*b[1]*c[1]]^2*f[b[5]*c[1]])/14348907 - 
  (930611200*f[a[1]*a[2]]*f[a[1]*a[2]*b[1]*c[1]]*f[b[5]*c[1]])/
   1162261467 + (4653056000*f[a[1]^3*a[2]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[b[5]*c[1]])/10460353203 - 
  (930611200*f[a[2]*a[3]]*f[a[1]*a[2]*b[1]*c[1]]*f[b[5]*c[1]])/
   3486784401 + (3722444800*f[a[1]*a[4]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[b[5]*c[1]])/31381059609 - 
  (93061120*f[a[1]*a[2]*b[1]*c[1]]^2*f[b[5]*c[1]])/1162261467 + 
  (72704000*f[a[2]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[5]*c[1]])/387420489 - 
  (38315008000*f[a[1]^2*a[2]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[5]*c[1]])/
   31381059609 + (377697280000*f[a[1]^4*a[2]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[b[5]*c[1]])/282429536481 - 
  (113447321600*f[a[2]^3]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[5]*c[1]])/
   94143178827 - (74914201600*f[a[1]*a[2]*a[3]]*
     f[a[1]^2*a[2]*b[1]*c[1]]*f[b[5]*c[1]])/282429536481 - 
  (290816000*f[a[4]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[5]*c[1]])/
   31381059609 + (23323443200*f[a[1]^2*a[4]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[b[5]*c[1]])/94143178827 + 
  (799744000*f[a[6]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[5]*c[1]])/
   94143178827 + (14540800*f[a[2]*b[1]*c[1]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[b[5]*c[1]])/387420489 - 
  (3831500800*f[a[1]^2*a[2]*b[1]*c[1]]^2*f[b[5]*c[1]])/31381059609 + 
  (1476800*f[1]*f[a[2]^2*b[1]*c[1]]*f[b[5]*c[1]])/14348907 + 
  (443153600*f[a[1]^2]*f[a[2]^2*b[1]*c[1]]*f[b[5]*c[1]])/1162261467 - 
  (4542296000*f[a[1]^4]*f[a[2]^2*b[1]*c[1]]*f[b[5]*c[1]])/10460353203 + 
  (57240200000*f[a[1]^6]*f[a[2]^2*b[1]*c[1]]*f[b[5]*c[1]])/
   94143178827 + (2494428800*f[a[2]^2]*f[a[2]^2*b[1]*c[1]]*
     f[b[5]*c[1]])/1162261467 - 
  (100151350400*f[a[1]^2*a[2]^2]*f[a[2]^2*b[1]*c[1]]*f[b[5]*c[1]])/
   282429536481 + (2373785600*f[a[1]*a[3]]*f[a[2]^2*b[1]*c[1]]*
     f[b[5]*c[1]])/3486784401 - 
  (20717004800*f[a[1]^3*a[3]]*f[a[2]^2*b[1]*c[1]]*f[b[5]*c[1]])/
   94143178827 + (103374977600*f[a[3]^2]*f[a[2]^2*b[1]*c[1]]*
     f[b[5]*c[1]])/94143178827 - 
  (10934681600*f[a[2]*a[4]]*f[a[2]^2*b[1]*c[1]]*f[b[5]*c[1]])/
   94143178827 - (79847168000*f[a[1]*a[5]]*f[a[2]^2*b[1]*c[1]]*
     f[b[5]*c[1]])/282429536481 + 
  (295360*f[b[1]*c[1]]*f[a[2]^2*b[1]*c[1]]*f[b[5]*c[1]])/14348907 + 
  (88630720*f[a[1]^2*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]]*f[b[5]*c[1]])/
   1162261467 - (908459200*f[a[1]^4*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]]*
     f[b[5]*c[1]])/10460353203 + 
  (249442880*f[a[2]^2*b[1]*c[1]]^2*f[b[5]*c[1]])/1162261467 - 
  (908800*f[a[1]]*f[a[3]*b[1]*c[1]]*f[b[5]*c[1]])/14348907 + 
  (4544000*f[a[1]^3]*f[a[3]*b[1]*c[1]]*f[b[5]*c[1]])/129140163 - 
  (113600000*f[a[1]^5]*f[a[3]*b[1]*c[1]]*f[b[5]*c[1]])/3486784401 - 
  (23628800*f[a[1]*a[2]^2]*f[a[3]*b[1]*c[1]]*f[b[5]*c[1]])/3486784401 + 
  (584358400*f[a[3]]*f[a[3]*b[1]*c[1]]*f[b[5]*c[1]])/387420489 - 
  (3096281600*f[a[1]^2*a[3]]*f[a[3]*b[1]*c[1]]*f[b[5]*c[1]])/
   10460353203 - (213568000*f[a[5]]*f[a[3]*b[1]*c[1]]*f[b[5]*c[1]])/
   3486784401 - (181760*f[a[1]*b[1]*c[1]]*f[a[3]*b[1]*c[1]]*
     f[b[5]*c[1]])/14348907 + 
  (908800*f[a[1]^3*b[1]*c[1]]*f[a[3]*b[1]*c[1]]*f[b[5]*c[1]])/
   129140163 + (58435840*f[a[3]*b[1]*c[1]]^2*f[b[5]*c[1]])/387420489 + 
  (1817600*f[1]*f[a[1]*a[3]*b[1]*c[1]]*f[b[5]*c[1]])/14348907 - 
  (12723200*f[a[1]^2]*f[a[1]*a[3]*b[1]*c[1]]*f[b[5]*c[1]])/129140163 + 
  (336256000*f[a[1]^4]*f[a[1]*a[3]*b[1]*c[1]]*f[b[5]*c[1]])/
   3486784401 - (12041600000*f[a[1]^6]*f[a[1]*a[3]*b[1]*c[1]]*
     f[b[5]*c[1]])/94143178827 + 
  (2373785600*f[a[2]^2]*f[a[1]*a[3]*b[1]*c[1]]*f[b[5]*c[1]])/
   3486784401 - (12625049600*f[a[1]^2*a[2]^2]*f[a[1]*a[3]*b[1]*c[1]]*
     f[b[5]*c[1]])/94143178827 + 
  (9567846400*f[a[1]*a[3]]*f[a[1]*a[3]*b[1]*c[1]]*f[b[5]*c[1]])/
   10460353203 - (50631065600*f[a[1]^3*a[3]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[b[5]*c[1]])/94143178827 - 
  (6774195200*f[a[3]^2]*f[a[1]*a[3]*b[1]*c[1]]*f[b[5]*c[1]])/
   31381059609 + (91199897600*f[a[2]*a[4]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[b[5]*c[1]])/282429536481 - 
  (14977024000*f[a[1]*a[5]]*f[a[1]*a[3]*b[1]*c[1]]*f[b[5]*c[1]])/
   282429536481 + (363520*f[b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[b[5]*c[1]])/14348907 - 
  (2544640*f[a[1]^2*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]]*f[b[5]*c[1]])/
   129140163 + (67251200*f[a[1]^4*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[b[5]*c[1]])/3486784401 + 
  (474757120*f[a[2]^2*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]]*f[b[5]*c[1]])/
   3486784401 + (956784640*f[a[1]*a[3]*b[1]*c[1]]^2*f[b[5]*c[1]])/
   10460353203 + (58163200*f[a[2]]*f[a[4]*b[1]*c[1]]*f[b[5]*c[1]])/
   1162261467 - (290816000*f[a[1]^2*a[2]]*f[a[4]*b[1]*c[1]]*
     f[b[5]*c[1]])/31381059609 + 
  (1454080000*f[a[1]^4*a[2]]*f[a[4]*b[1]*c[1]]*f[b[5]*c[1]])/
   282429536481 + (1512243200*f[a[2]^3]*f[a[4]*b[1]*c[1]]*
     f[b[5]*c[1]])/94143178827 + 
  (1861222400*f[a[1]*a[2]*a[3]]*f[a[4]*b[1]*c[1]]*f[b[5]*c[1]])/
   282429536481 - (20706099200*f[a[4]]*f[a[4]*b[1]*c[1]]*f[b[5]*c[1]])/
   10460353203 + (103530496000*f[a[1]^2*a[4]]*f[a[4]*b[1]*c[1]]*
     f[b[5]*c[1]])/282429536481 + 
  (5176524800*f[a[6]]*f[a[4]*b[1]*c[1]]*f[b[5]*c[1]])/94143178827 + 
  (11632640*f[a[2]*b[1]*c[1]]*f[a[4]*b[1]*c[1]]*f[b[5]*c[1]])/
   1162261467 - (58163200*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[4]*b[1]*c[1]]*
     f[b[5]*c[1]])/31381059609 - 
  (2070609920*f[a[4]*b[1]*c[1]]^2*f[b[5]*c[1]])/10460353203 + 
  (29081600*f[a[2]]*f[a[1]*b[2]*c[1]]*f[b[5]*c[1]])/129140163 - 
  (145408000*f[a[1]^2*a[2]]*f[a[1]*b[2]*c[1]]*f[b[5]*c[1]])/
   3486784401 + (727040000*f[a[1]^4*a[2]]*f[a[1]*b[2]*c[1]]*
     f[b[5]*c[1]])/31381059609 + 
  (756121600*f[a[2]^3]*f[a[1]*b[2]*c[1]]*f[b[5]*c[1]])/10460353203 + 
  (930611200*f[a[1]*a[2]*a[3]]*f[a[1]*b[2]*c[1]]*f[b[5]*c[1]])/
   31381059609 - (116326400*f[a[4]]*f[a[1]*b[2]*c[1]]*f[b[5]*c[1]])/
   1162261467 + (581632000*f[a[1]^2*a[4]]*f[a[1]*b[2]*c[1]]*
     f[b[5]*c[1]])/31381059609 + 
  (727040000*f[a[6]]*f[a[1]*b[2]*c[1]]*f[b[5]*c[1]])/10460353203 + 
  (29081600*f[a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*f[b[5]*c[1]])/
   129140163 - (145408000*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*
     f[b[5]*c[1]])/3486784401 - 
  (116326400*f[a[4]*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*f[b[5]*c[1]])/
   1162261467 + (930611200*f[a[1]*a[2]]*f[a[1]^2*b[2]*c[1]]*
     f[b[5]*c[1]])/3486784401 - 
  (4653056000*f[a[1]^3*a[2]]*f[a[1]^2*b[2]*c[1]]*f[b[5]*c[1]])/
   31381059609 - (930611200*f[a[2]*a[3]]*f[a[1]^2*b[2]*c[1]]*
     f[b[5]*c[1]])/31381059609 - 
  (3722444800*f[a[1]*a[4]]*f[a[1]^2*b[2]*c[1]]*f[b[5]*c[1]])/
   31381059609 + (930611200*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*
     f[b[5]*c[1]])/3486784401 - 
  (145408000*f[a[2]]*f[a[1]^3*b[2]*c[1]]*f[b[5]*c[1]])/1162261467 + 
  (5205606400*f[a[1]^2*a[2]]*f[a[1]^3*b[2]*c[1]]*f[b[5]*c[1]])/
   10460353203 - (152532992000*f[a[1]^4*a[2]]*f[a[1]^3*b[2]*c[1]]*
     f[b[5]*c[1]])/282429536481 + 
  (204210995200*f[a[2]^3]*f[a[1]^3*b[2]*c[1]]*f[b[5]*c[1]])/
   847288609443 - (6514278400*f[a[1]*a[2]*a[3]]*f[a[1]^3*b[2]*c[1]]*
     f[b[5]*c[1]])/94143178827 + 
  (581632000*f[a[4]]*f[a[1]^3*b[2]*c[1]]*f[b[5]*c[1]])/10460353203 - 
  (20822425600*f[a[1]^2*a[4]]*f[a[1]^3*b[2]*c[1]]*f[b[5]*c[1]])/
   94143178827 - (3635200000*f[a[6]]*f[a[1]^3*b[2]*c[1]]*f[b[5]*c[1]])/
   94143178827 - (145408000*f[a[2]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[b[5]*c[1]])/1162261467 + 
  (5205606400*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[b[5]*c[1]])/10460353203 + 
  (581632000*f[a[4]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*f[b[5]*c[1]])/
   10460353203 - (29081600*f[a[1]]*f[a[2]*b[2]*c[1]]*f[b[5]*c[1]])/
   129140163 + (145408000*f[a[1]^3]*f[a[2]*b[2]*c[1]]*f[b[5]*c[1]])/
   1162261467 - (3635200000*f[a[1]^5]*f[a[2]*b[2]*c[1]]*f[b[5]*c[1]])/
   31381059609 - (756121600*f[a[1]*a[2]^2]*f[a[2]*b[2]*c[1]]*
     f[b[5]*c[1]])/31381059609 - 
  (145408000*f[a[3]]*f[a[2]*b[2]*c[1]]*f[b[5]*c[1]])/387420489 + 
  (319897600*f[a[1]^2*a[3]]*f[a[2]*b[2]*c[1]]*f[b[5]*c[1]])/
   31381059609 + (1599488000*f[a[5]]*f[a[2]*b[2]*c[1]]*f[b[5]*c[1]])/
   10460353203 - (29081600*f[a[1]*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*
     f[b[5]*c[1]])/129140163 + 
  (145408000*f[a[1]^3*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*f[b[5]*c[1]])/
   1162261467 - (145408000*f[a[3]*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*
     f[b[5]*c[1]])/387420489 - 
  (930611200*f[a[1]^2]*f[a[1]*a[2]*b[2]*c[1]]*f[b[5]*c[1]])/
   3486784401 + (9306112000*f[a[1]^4]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[5]*c[1]])/31381059609 - 
  (116326400000*f[a[1]^6]*f[a[1]*a[2]*b[2]*c[1]]*f[b[5]*c[1]])/
   282429536481 - (14889779200*f[a[2]^2]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[5]*c[1]])/31381059609 + 
  (1861222400*f[a[1]^2*a[2]^2]*f[a[1]*a[2]*b[2]*c[1]]*f[b[5]*c[1]])/
   31381059609 - (6514278400*f[a[1]*a[3]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[5]*c[1]])/31381059609 + 
  (930611200*f[a[1]^3*a[3]]*f[a[1]*a[2]*b[2]*c[1]]*f[b[5]*c[1]])/
   94143178827 + (4653056000*f[a[3]^2]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[5]*c[1]])/94143178827 + 
  (297795584000*f[a[2]*a[4]]*f[a[1]*a[2]*b[2]*c[1]]*f[b[5]*c[1]])/
   2541865828329 + (200081408000*f[a[1]*a[5]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[5]*c[1]])/2541865828329 - 
  (930611200*f[a[1]^2*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*f[b[5]*c[1]])/
   3486784401 + (9306112000*f[a[1]^4*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[5]*c[1]])/31381059609 - 
  (14889779200*f[a[2]^2*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[5]*c[1]])/31381059609 - 
  (6514278400*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[5]*c[1]])/31381059609 + 
  (145408000*f[a[2]]*f[a[3]*b[2]*c[1]]*f[b[5]*c[1]])/387420489 - 
  (727040000*f[a[1]^2*a[2]]*f[a[3]*b[2]*c[1]]*f[b[5]*c[1]])/
   10460353203 + (3635200000*f[a[1]^4*a[2]]*f[a[3]*b[2]*c[1]]*
     f[b[5]*c[1]])/94143178827 + 
  (3780608000*f[a[2]^3]*f[a[3]*b[2]*c[1]]*f[b[5]*c[1]])/31381059609 + 
  (4653056000*f[a[1]*a[2]*a[3]]*f[a[3]*b[2]*c[1]]*f[b[5]*c[1]])/
   94143178827 + (5699993600*f[a[4]]*f[a[3]*b[2]*c[1]]*f[b[5]*c[1]])/
   10460353203 - (28499968000*f[a[1]^2*a[4]]*f[a[3]*b[2]*c[1]]*
     f[b[5]*c[1]])/282429536481 - 
  (184755404800*f[a[6]]*f[a[3]*b[2]*c[1]]*f[b[5]*c[1]])/847288609443 + 
  (145408000*f[a[2]*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*f[b[5]*c[1]])/
   387420489 - (727040000*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[b[5]*c[1]])/10460353203 + 
  (5699993600*f[a[4]*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*f[b[5]*c[1]])/
   10460353203 - (227200*f[1]*f[b[3]*c[1]]*f[b[5]*c[1]])/531441 + 
  (1136000*f[a[1]^2]*f[b[3]*c[1]]*f[b[5]*c[1]])/14348907 - 
  (5680000*f[a[1]^4]*f[b[3]*c[1]]*f[b[5]*c[1]])/129140163 + 
  (142000000*f[a[1]^6]*f[b[3]*c[1]]*f[b[5]*c[1]])/3486784401 - 
  (5907200*f[a[2]^2]*f[b[3]*c[1]]*f[b[5]*c[1]])/129140163 + 
  (29536000*f[a[1]^2*a[2]^2]*f[b[3]*c[1]]*f[b[5]*c[1]])/3486784401 - 
  (7270400*f[a[1]*a[3]]*f[b[3]*c[1]]*f[b[5]*c[1]])/129140163 + 
  (36352000*f[a[1]^3*a[3]]*f[b[3]*c[1]]*f[b[5]*c[1]])/1162261467 + 
  (202889600*f[a[3]^2]*f[b[3]*c[1]]*f[b[5]*c[1]])/3486784401 + 
  (465305600*f[a[2]*a[4]]*f[b[3]*c[1]]*f[b[5]*c[1]])/10460353203 + 
  (472576000*f[a[1]*a[5]]*f[b[3]*c[1]]*f[b[5]*c[1]])/10460353203 - 
  (227200*f[b[1]*c[1]]*f[b[3]*c[1]]*f[b[5]*c[1]])/531441 + 
  (1136000*f[a[1]^2*b[1]*c[1]]*f[b[3]*c[1]]*f[b[5]*c[1]])/14348907 - 
  (5680000*f[a[1]^4*b[1]*c[1]]*f[b[3]*c[1]]*f[b[5]*c[1]])/129140163 - 
  (5907200*f[a[2]^2*b[1]*c[1]]*f[b[3]*c[1]]*f[b[5]*c[1]])/129140163 - 
  (7270400*f[a[1]*a[3]*b[1]*c[1]]*f[b[3]*c[1]]*f[b[5]*c[1]])/
   129140163 - (3635200*f[a[1]]*f[a[1]*b[3]*c[1]]*f[b[5]*c[1]])/
   14348907 + (18176000*f[a[1]^3]*f[a[1]*b[3]*c[1]]*f[b[5]*c[1]])/
   129140163 - (454400000*f[a[1]^5]*f[a[1]*b[3]*c[1]]*f[b[5]*c[1]])/
   3486784401 - (94515200*f[a[1]*a[2]^2]*f[a[1]*b[3]*c[1]]*
     f[b[5]*c[1]])/3486784401 + 
  (3635200*f[a[3]]*f[a[1]*b[3]*c[1]]*f[b[5]*c[1]])/129140163 - 
  (83609600*f[a[1]^2*a[3]]*f[a[1]*b[3]*c[1]]*f[b[5]*c[1]])/1162261467 - 
  (236288000*f[a[5]]*f[a[1]*b[3]*c[1]]*f[b[5]*c[1]])/10460353203 - 
  (3635200*f[a[1]*b[1]*c[1]]*f[a[1]*b[3]*c[1]]*f[b[5]*c[1]])/14348907 + 
  (18176000*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[3]*c[1]]*f[b[5]*c[1]])/
   129140163 + (3635200*f[a[3]*b[1]*c[1]]*f[a[1]*b[3]*c[1]]*
     f[b[5]*c[1]])/129140163 + 
  (1136000*f[1]*f[a[1]^2*b[3]*c[1]]*f[b[5]*c[1]])/14348907 - 
  (40668800*f[a[1]^2]*f[a[1]^2*b[3]*c[1]]*f[b[5]*c[1]])/129140163 + 
  (1191664000*f[a[1]^4]*f[a[1]^2*b[3]*c[1]]*f[b[5]*c[1]])/3486784401 - 
  (44332400000*f[a[1]^6]*f[a[1]^2*b[3]*c[1]]*f[b[5]*c[1]])/
   94143178827 - (1772614400*f[a[2]^2]*f[a[1]^2*b[3]*c[1]]*
     f[b[5]*c[1]])/10460353203 - 
  (210387200*f[a[1]^2*a[2]^2]*f[a[1]^2*b[3]*c[1]]*f[b[5]*c[1]])/
   282429536481 + (50892800*f[a[1]*a[3]]*f[a[1]^2*b[3]*c[1]]*
     f[b[5]*c[1]])/1162261467 - 
  (4485836800*f[a[1]^3*a[3]]*f[a[1]^2*b[3]*c[1]]*f[b[5]*c[1]])/
   31381059609 - (1363427200*f[a[3]^2]*f[a[1]^2*b[3]*c[1]]*
     f[b[5]*c[1]])/94143178827 + 
  (20008140800*f[a[2]*a[4]]*f[a[1]^2*b[3]*c[1]]*f[b[5]*c[1]])/
   282429536481 - (3308032000*f[a[1]*a[5]]*f[a[1]^2*b[3]*c[1]]*
     f[b[5]*c[1]])/94143178827 + 
  (1136000*f[b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*f[b[5]*c[1]])/14348907 - 
  (40668800*f[a[1]^2*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*f[b[5]*c[1]])/
   129140163 + (1191664000*f[a[1]^4*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[b[5]*c[1]])/3486784401 - 
  (1772614400*f[a[2]^2*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*f[b[5]*c[1]])/
   10460353203 + (50892800*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[b[5]*c[1]])/1162261467 + 
  (58163200*f[a[2]]*f[a[2]*b[3]*c[1]]*f[b[5]*c[1]])/129140163 - 
  (290816000*f[a[1]^2*a[2]]*f[a[2]*b[3]*c[1]]*f[b[5]*c[1]])/
   3486784401 + (1454080000*f[a[1]^4*a[2]]*f[a[2]*b[3]*c[1]]*
     f[b[5]*c[1]])/31381059609 + 
  (1512243200*f[a[2]^3]*f[a[2]*b[3]*c[1]]*f[b[5]*c[1]])/10460353203 + 
  (1861222400*f[a[1]*a[2]*a[3]]*f[a[2]*b[3]*c[1]]*f[b[5]*c[1]])/
   31381059609 - (232652800*f[a[4]]*f[a[2]*b[3]*c[1]]*f[b[5]*c[1]])/
   10460353203 + (1163264000*f[a[1]^2*a[4]]*f[a[2]*b[3]*c[1]]*
     f[b[5]*c[1]])/282429536481 + 
  (639795200*f[a[6]]*f[a[2]*b[3]*c[1]]*f[b[5]*c[1]])/31381059609 + 
  (58163200*f[a[2]*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*f[b[5]*c[1]])/
   129140163 - (290816000*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[b[5]*c[1]])/3486784401 - 
  (232652800*f[a[4]*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*f[b[5]*c[1]])/
   10460353203 - (151224320*f[a[2]]*f[a[1]*b[4]*c[1]]*f[b[5]*c[1]])/
   1162261467 + (756121600*f[a[1]^2*a[2]]*f[a[1]*b[4]*c[1]]*
     f[b[5]*c[1]])/31381059609 - 
  (3780608000*f[a[1]^4*a[2]]*f[a[1]*b[4]*c[1]]*f[b[5]*c[1]])/
   282429536481 - (3931832320*f[a[2]^3]*f[a[1]*b[4]*c[1]]*
     f[b[5]*c[1]])/94143178827 - 
  (4839178240*f[a[1]*a[2]*a[3]]*f[a[1]*b[4]*c[1]]*f[b[5]*c[1]])/
   282429536481 + (604897280*f[a[4]]*f[a[1]*b[4]*c[1]]*f[b[5]*c[1]])/
   10460353203 - (3024486400*f[a[1]^2*a[4]]*f[a[1]*b[4]*c[1]]*
     f[b[5]*c[1]])/282429536481 - 
  (3780608000*f[a[6]]*f[a[1]*b[4]*c[1]]*f[b[5]*c[1]])/94143178827 - 
  (151224320*f[a[2]*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*f[b[5]*c[1]])/
   1162261467 + (756121600*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[b[5]*c[1]])/31381059609 + 
  (604897280*f[a[4]*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*f[b[5]*c[1]])/
   10460353203 + (8065600*f[1]*f[b[5]*c[1]]^2)/43046721 - 
  (40328000*f[a[1]^2]*f[b[5]*c[1]]^2)/1162261467 + 
  (201640000*f[a[1]^4]*f[b[5]*c[1]]^2)/10460353203 - 
  (5041000000*f[a[1]^6]*f[b[5]*c[1]]^2)/282429536481 + 
  (209705600*f[a[2]^2]*f[b[5]*c[1]]^2)/10460353203 - 
  (1048528000*f[a[1]^2*a[2]^2]*f[b[5]*c[1]]^2)/282429536481 + 
  (258099200*f[a[1]*a[3]]*f[b[5]*c[1]]^2)/10460353203 - 
  (1290496000*f[a[1]^3*a[3]]*f[b[5]*c[1]]^2)/94143178827 - 
  (7202580800*f[a[3]^2]*f[b[5]*c[1]]^2)/282429536481 - 
  (16518348800*f[a[2]*a[4]]*f[b[5]*c[1]]^2)/847288609443 - 
  (16776448000*f[a[1]*a[5]]*f[b[5]*c[1]]^2)/847288609443 + 
  (8065600*f[b[1]*c[1]]*f[b[5]*c[1]]^2)/43046721 - 
  (40328000*f[a[1]^2*b[1]*c[1]]*f[b[5]*c[1]]^2)/1162261467 + 
  (201640000*f[a[1]^4*b[1]*c[1]]*f[b[5]*c[1]]^2)/10460353203 + 
  (209705600*f[a[2]^2*b[1]*c[1]]*f[b[5]*c[1]]^2)/10460353203 + 
  (258099200*f[a[1]*a[3]*b[1]*c[1]]*f[b[5]*c[1]]^2)/10460353203 - 
  (40960*f[a[2]]*f[a[1]*b[1]*c[1]]*f[b[1]*c[2]])/177147 + 
  (204800*f[a[1]^2*a[2]]*f[a[1]*b[1]*c[1]]*f[b[1]*c[2]])/4782969 - 
  (1024000*f[a[1]^4*a[2]]*f[a[1]*b[1]*c[1]]*f[b[1]*c[2]])/43046721 - 
  (1064960*f[a[2]^3]*f[a[1]*b[1]*c[1]]*f[b[1]*c[2]])/14348907 - 
  (1310720*f[a[1]*a[2]*a[3]]*f[a[1]*b[1]*c[1]]*f[b[1]*c[2]])/43046721 + 
  (163840*f[a[4]]*f[a[1]*b[1]*c[1]]*f[b[1]*c[2]])/1594323 - 
  (819200*f[a[1]^2*a[4]]*f[a[1]*b[1]*c[1]]*f[b[1]*c[2]])/43046721 - 
  (1024000*f[a[6]]*f[a[1]*b[1]*c[1]]*f[b[1]*c[2]])/14348907 - 
  (1310720*f[a[1]*a[2]]*f[a[1]^2*b[1]*c[1]]*f[b[1]*c[2]])/4782969 + 
  (6553600*f[a[1]^3*a[2]]*f[a[1]^2*b[1]*c[1]]*f[b[1]*c[2]])/43046721 + 
  (1310720*f[a[2]*a[3]]*f[a[1]^2*b[1]*c[1]]*f[b[1]*c[2]])/43046721 + 
  (5242880*f[a[1]*a[4]]*f[a[1]^2*b[1]*c[1]]*f[b[1]*c[2]])/43046721 + 
  (204800*f[a[2]]*f[a[1]^3*b[1]*c[1]]*f[b[1]*c[2]])/1594323 - 
  (7331840*f[a[1]^2*a[2]]*f[a[1]^3*b[1]*c[1]]*f[b[1]*c[2]])/14348907 + 
  (214835200*f[a[1]^4*a[2]]*f[a[1]^3*b[1]*c[1]]*f[b[1]*c[2]])/
   387420489 - (287621120*f[a[2]^3]*f[a[1]^3*b[1]*c[1]]*f[b[1]*c[2]])/
   1162261467 + (9175040*f[a[1]*a[2]*a[3]]*f[a[1]^3*b[1]*c[1]]*
     f[b[1]*c[2]])/129140163 - 
  (819200*f[a[4]]*f[a[1]^3*b[1]*c[1]]*f[b[1]*c[2]])/14348907 + 
  (29327360*f[a[1]^2*a[4]]*f[a[1]^3*b[1]*c[1]]*f[b[1]*c[2]])/
   129140163 + (5120000*f[a[6]]*f[a[1]^3*b[1]*c[1]]*f[b[1]*c[2]])/
   129140163 + (13107200*f[a[1]*a[2]]*f[a[1]^4*b[1]*c[1]]*
     f[b[1]*c[2]])/43046721 - 
  (1538785280*f[a[1]^3*a[2]]*f[a[1]^4*b[1]*c[1]]*f[b[1]*c[2]])/
   1162261467 - (13107200*f[a[2]*a[3]]*f[a[1]^4*b[1]*c[1]]*
     f[b[1]*c[2]])/387420489 - 
  (52428800*f[a[1]*a[4]]*f[a[1]^4*b[1]*c[1]]*f[b[1]*c[2]])/387420489 + 
  (40960*f[a[1]]*f[a[2]*b[1]*c[1]]*f[b[1]*c[2]])/177147 - 
  (204800*f[a[1]^3]*f[a[2]*b[1]*c[1]]*f[b[1]*c[2]])/1594323 + 
  (5120000*f[a[1]^5]*f[a[2]*b[1]*c[1]]*f[b[1]*c[2]])/43046721 + 
  (1064960*f[a[1]*a[2]^2]*f[a[2]*b[1]*c[1]]*f[b[1]*c[2]])/43046721 + 
  (204800*f[a[3]]*f[a[2]*b[1]*c[1]]*f[b[1]*c[2]])/531441 - 
  (450560*f[a[1]^2*a[3]]*f[a[2]*b[1]*c[1]]*f[b[1]*c[2]])/43046721 - 
  (2252800*f[a[5]]*f[a[2]*b[1]*c[1]]*f[b[1]*c[2]])/14348907 + 
  (1310720*f[a[1]^2]*f[a[1]*a[2]*b[1]*c[1]]*f[b[1]*c[2]])/4782969 - 
  (13107200*f[a[1]^4]*f[a[1]*a[2]*b[1]*c[1]]*f[b[1]*c[2]])/43046721 + 
  (163840000*f[a[1]^6]*f[a[1]*a[2]*b[1]*c[1]]*f[b[1]*c[2]])/387420489 + 
  (20971520*f[a[2]^2]*f[a[1]*a[2]*b[1]*c[1]]*f[b[1]*c[2]])/43046721 - 
  (2621440*f[a[1]^2*a[2]^2]*f[a[1]*a[2]*b[1]*c[1]]*f[b[1]*c[2]])/
   43046721 + (9175040*f[a[1]*a[3]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[b[1]*c[2]])/43046721 - 
  (1310720*f[a[1]^3*a[3]]*f[a[1]*a[2]*b[1]*c[1]]*f[b[1]*c[2]])/
   129140163 - (6553600*f[a[3]^2]*f[a[1]*a[2]*b[1]*c[1]]*f[b[1]*c[2]])/
   129140163 - (419430400*f[a[2]*a[4]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[b[1]*c[2]])/3486784401 - 
  (281804800*f[a[1]*a[5]]*f[a[1]*a[2]*b[1]*c[1]]*f[b[1]*c[2]])/
   3486784401 - (204800*f[a[1]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[1]*c[2]])/
   4782969 + (7331840*f[a[1]^3]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[1]*c[2]])/
   14348907 - (1074176000*f[a[1]^5]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[b[1]*c[2]])/1162261467 + 
  (2332835840*f[a[1]*a[2]^2]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[1]*c[2]])/
   3486784401 - (1024000*f[a[3]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[b[1]*c[2]])/14348907 + 
  (91627520*f[a[1]^2*a[3]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[1]*c[2]])/
   387420489 + (11264000*f[a[5]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[b[1]*c[2]])/387420489 - 
  (20971520*f[a[1]*a[2]]*f[a[2]^2*b[1]*c[1]]*f[b[1]*c[2]])/43046721 + 
  (104857600*f[a[1]^3*a[2]]*f[a[2]^2*b[1]*c[1]]*f[b[1]*c[2]])/
   387420489 - (104857600*f[a[2]*a[3]]*f[a[2]^2*b[1]*c[1]]*
     f[b[1]*c[2]])/129140163 + 
  (83886080*f[a[1]*a[4]]*f[a[2]^2*b[1]*c[1]]*f[b[1]*c[2]])/3486784401 - 
  (204800*f[a[2]]*f[a[3]*b[1]*c[1]]*f[b[1]*c[2]])/531441 + 
  (1024000*f[a[1]^2*a[2]]*f[a[3]*b[1]*c[1]]*f[b[1]*c[2]])/14348907 - 
  (5120000*f[a[1]^4*a[2]]*f[a[3]*b[1]*c[1]]*f[b[1]*c[2]])/129140163 - 
  (5324800*f[a[2]^3]*f[a[3]*b[1]*c[1]]*f[b[1]*c[2]])/43046721 - 
  (6553600*f[a[1]*a[2]*a[3]]*f[a[3]*b[1]*c[1]]*f[b[1]*c[2]])/
   129140163 - (8028160*f[a[4]]*f[a[3]*b[1]*c[1]]*f[b[1]*c[2]])/
   14348907 + (40140800*f[a[1]^2*a[4]]*f[a[3]*b[1]*c[1]]*f[b[1]*c[2]])/
   387420489 + (260218880*f[a[6]]*f[a[3]*b[1]*c[1]]*f[b[1]*c[2]])/
   1162261467 - (9175040*f[a[1]*a[2]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[b[1]*c[2]])/43046721 + 
  (45875200*f[a[1]^3*a[2]]*f[a[1]*a[3]*b[1]*c[1]]*f[b[1]*c[2]])/
   387420489 - (391905280*f[a[2]*a[3]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[b[1]*c[2]])/1162261467 - 
  (131072000*f[a[1]*a[4]]*f[a[1]*a[3]*b[1]*c[1]]*f[b[1]*c[2]])/
   387420489 - (163840*f[a[1]]*f[a[4]*b[1]*c[1]]*f[b[1]*c[2]])/
   1594323 + (819200*f[a[1]^3]*f[a[4]*b[1]*c[1]]*f[b[1]*c[2]])/
   14348907 - (20480000*f[a[1]^5]*f[a[4]*b[1]*c[1]]*f[b[1]*c[2]])/
   387420489 - (4259840*f[a[1]*a[2]^2]*f[a[4]*b[1]*c[1]]*f[b[1]*c[2]])/
   387420489 + (8028160*f[a[3]]*f[a[4]*b[1]*c[1]]*f[b[1]*c[2]])/
   14348907 - (16875520*f[a[1]^2*a[3]]*f[a[4]*b[1]*c[1]]*f[b[1]*c[2]])/
   129140163 + (2497740800*f[a[5]]*f[a[4]*b[1]*c[1]]*f[b[1]*c[2]])/
   3486784401 - (1792*f[1]*f[b[2]*c[1]]*f[b[1]*c[2]])/2187 + 
  (8960*f[a[1]^2]*f[b[2]*c[1]]*f[b[1]*c[2]])/59049 - 
  (44800*f[a[1]^4]*f[b[2]*c[1]]*f[b[1]*c[2]])/531441 + 
  (1120000*f[a[1]^6]*f[b[2]*c[1]]*f[b[1]*c[2]])/14348907 - 
  (46592*f[a[2]^2]*f[b[2]*c[1]]*f[b[1]*c[2]])/531441 + 
  (232960*f[a[1]^2*a[2]^2]*f[b[2]*c[1]]*f[b[1]*c[2]])/14348907 - 
  (57344*f[a[1]*a[3]]*f[b[2]*c[1]]*f[b[1]*c[2]])/531441 + 
  (286720*f[a[1]^3*a[3]]*f[b[2]*c[1]]*f[b[1]*c[2]])/4782969 + 
  (1600256*f[a[3]^2]*f[b[2]*c[1]]*f[b[1]*c[2]])/14348907 + 
  (3670016*f[a[2]*a[4]]*f[b[2]*c[1]]*f[b[1]*c[2]])/43046721 + 
  (3727360*f[a[1]*a[5]]*f[b[2]*c[1]]*f[b[1]*c[2]])/43046721 + 
  (35072*f[b[1]*c[1]]*f[b[2]*c[1]]*f[b[1]*c[2]])/177147 - 
  (175360*f[a[1]^2*b[1]*c[1]]*f[b[2]*c[1]]*f[b[1]*c[2]])/4782969 + 
  (876800*f[a[1]^4*b[1]*c[1]]*f[b[2]*c[1]]*f[b[1]*c[2]])/43046721 + 
  (911872*f[a[2]^2*b[1]*c[1]]*f[b[2]*c[1]]*f[b[1]*c[2]])/43046721 + 
  (1122304*f[a[1]*a[3]*b[1]*c[1]]*f[b[2]*c[1]]*f[b[1]*c[2]])/43046721 - 
  (28672*f[a[1]]*f[a[1]*b[2]*c[1]]*f[b[1]*c[2]])/59049 + 
  (143360*f[a[1]^3]*f[a[1]*b[2]*c[1]]*f[b[1]*c[2]])/531441 - 
  (3584000*f[a[1]^5]*f[a[1]*b[2]*c[1]]*f[b[1]*c[2]])/14348907 - 
  (745472*f[a[1]*a[2]^2]*f[a[1]*b[2]*c[1]]*f[b[1]*c[2]])/14348907 + 
  (28672*f[a[3]]*f[a[1]*b[2]*c[1]]*f[b[1]*c[2]])/531441 - 
  (659456*f[a[1]^2*a[3]]*f[a[1]*b[2]*c[1]]*f[b[1]*c[2]])/4782969 - 
  (1863680*f[a[5]]*f[a[1]*b[2]*c[1]]*f[b[1]*c[2]])/43046721 + 
  (561152*f[a[1]*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*f[b[1]*c[2]])/4782969 - 
  (2805760*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*f[b[1]*c[2]])/
   43046721 - (561152*f[a[3]*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*
     f[b[1]*c[2]])/43046721 + 
  (8960*f[1]*f[a[1]^2*b[2]*c[1]]*f[b[1]*c[2]])/59049 - 
  (320768*f[a[1]^2]*f[a[1]^2*b[2]*c[1]]*f[b[1]*c[2]])/531441 + 
  (9399040*f[a[1]^4]*f[a[1]^2*b[2]*c[1]]*f[b[1]*c[2]])/14348907 - 
  (349664000*f[a[1]^6]*f[a[1]^2*b[2]*c[1]]*f[b[1]*c[2]])/387420489 - 
  (13981184*f[a[2]^2]*f[a[1]^2*b[2]*c[1]]*f[b[1]*c[2]])/43046721 - 
  (1659392*f[a[1]^2*a[2]^2]*f[a[1]^2*b[2]*c[1]]*f[b[1]*c[2]])/
   1162261467 + (401408*f[a[1]*a[3]]*f[a[1]^2*b[2]*c[1]]*f[b[1]*c[2]])/
   4782969 - (35381248*f[a[1]^3*a[3]]*f[a[1]^2*b[2]*c[1]]*
     f[b[1]*c[2]])/129140163 - 
  (10753792*f[a[3]^2]*f[a[1]^2*b[2]*c[1]]*f[b[1]*c[2]])/387420489 + 
  (157810688*f[a[2]*a[4]]*f[a[1]^2*b[2]*c[1]]*f[b[1]*c[2]])/
   1162261467 - (26091520*f[a[1]*a[5]]*f[a[1]^2*b[2]*c[1]]*
     f[b[1]*c[2]])/387420489 - 
  (175360*f[b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*f[b[1]*c[2]])/4782969 + 
  (6277888*f[a[1]^2*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*f[b[1]*c[2]])/
   43046721 - (183952640*f[a[1]^4*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*
     f[b[1]*c[2]])/1162261467 + 
  (273631744*f[a[2]^2*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*f[b[1]*c[2]])/
   3486784401 - (7856128*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*
     f[b[1]*c[2]])/387420489 + 
  (143360*f[a[1]]*f[a[1]^3*b[2]*c[1]]*f[b[1]*c[2]])/531441 - 
  (16830464*f[a[1]^3]*f[a[1]^3*b[2]*c[1]]*f[b[1]*c[2]])/14348907 + 
  (787763200*f[a[1]^5]*f[a[1]^3*b[2]*c[1]]*f[b[1]*c[2]])/387420489 - 
  (223698944*f[a[1]*a[2]^2]*f[a[1]^3*b[2]*c[1]]*f[b[1]*c[2]])/
   387420489 - (143360*f[a[3]]*f[a[1]^3*b[2]*c[1]]*f[b[1]*c[2]])/
   4782969 + (24571904*f[a[1]^2*a[3]]*f[a[1]^3*b[2]*c[1]]*
     f[b[1]*c[2]])/129140163 + 
  (9318400*f[a[5]]*f[a[1]^3*b[2]*c[1]]*f[b[1]*c[2]])/387420489 - 
  (2805760*f[a[1]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*f[b[1]*c[2]])/
   43046721 + (329396224*f[a[1]^3*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[b[1]*c[2]])/1162261467 + 
  (2805760*f[a[3]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*f[b[1]*c[2]])/
   387420489 + (458752*f[a[2]]*f[a[2]*b[2]*c[1]]*f[b[1]*c[2]])/531441 - 
  (2293760*f[a[1]^2*a[2]]*f[a[2]*b[2]*c[1]]*f[b[1]*c[2]])/14348907 + 
  (11468800*f[a[1]^4*a[2]]*f[a[2]*b[2]*c[1]]*f[b[1]*c[2]])/129140163 + 
  (11927552*f[a[2]^3]*f[a[2]*b[2]*c[1]]*f[b[1]*c[2]])/43046721 + 
  (14680064*f[a[1]*a[2]*a[3]]*f[a[2]*b[2]*c[1]]*f[b[1]*c[2]])/
   129140163 - (1835008*f[a[4]]*f[a[2]*b[2]*c[1]]*f[b[1]*c[2]])/
   43046721 + (9175040*f[a[1]^2*a[4]]*f[a[2]*b[2]*c[1]]*f[b[1]*c[2]])/
   1162261467 + (5046272*f[a[6]]*f[a[2]*b[2]*c[1]]*f[b[1]*c[2]])/
   129140163 - (8978432*f[a[2]*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*
     f[b[1]*c[2]])/43046721 + 
  (44892160*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*f[b[1]*c[2]])/
   1162261467 + (35913728*f[a[4]*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*
     f[b[1]*c[2]])/3486784401 + 
  (29360128*f[a[1]*a[2]]*f[a[1]*a[2]*b[2]*c[1]]*f[b[1]*c[2]])/
   43046721 - (146800640*f[a[1]^3*a[2]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[1]*c[2]])/387420489 + 
  (29360128*f[a[2]*a[3]]*f[a[1]*a[2]*b[2]*c[1]]*f[b[1]*c[2]])/
   129140163 - (117440512*f[a[1]*a[4]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[1]*c[2]])/1162261467 - 
  (574619648*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[1]*c[2]])/3486784401 + 
  (28672*f[a[1]]*f[a[3]*b[2]*c[1]]*f[b[1]*c[2]])/531441 - 
  (143360*f[a[1]^3]*f[a[3]*b[2]*c[1]]*f[b[1]*c[2]])/4782969 + 
  (3584000*f[a[1]^5]*f[a[3]*b[2]*c[1]]*f[b[1]*c[2]])/129140163 + 
  (745472*f[a[1]*a[2]^2]*f[a[3]*b[2]*c[1]]*f[b[1]*c[2]])/129140163 - 
  (18436096*f[a[3]]*f[a[3]*b[2]*c[1]]*f[b[1]*c[2]])/14348907 + 
  (97685504*f[a[1]^2*a[3]]*f[a[3]*b[2]*c[1]]*f[b[1]*c[2]])/387420489 + 
  (6737920*f[a[5]]*f[a[3]*b[2]*c[1]]*f[b[1]*c[2]])/129140163 - 
  (561152*f[a[1]*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*f[b[1]*c[2]])/43046721 + 
  (2805760*f[a[1]^3*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*f[b[1]*c[2]])/
   387420489 + (360820736*f[a[3]*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[b[1]*c[2]])/1162261467 + 
  (409600*f[b[2]*c[1]]*f[b[3]*c[1]]*f[b[1]*c[2]])/531441 - 
  (2048000*f[a[1]^2*b[2]*c[1]]*f[b[3]*c[1]]*f[b[1]*c[2]])/14348907 - 
  (155648*f[a[2]]*f[a[1]*b[3]*c[1]]*f[b[1]*c[2]])/531441 + 
  (778240*f[a[1]^2*a[2]]*f[a[1]*b[3]*c[1]]*f[b[1]*c[2]])/14348907 - 
  (3891200*f[a[1]^4*a[2]]*f[a[1]*b[3]*c[1]]*f[b[1]*c[2]])/129140163 - 
  (4046848*f[a[2]^3]*f[a[1]*b[3]*c[1]]*f[b[1]*c[2]])/43046721 - 
  (4980736*f[a[1]*a[2]*a[3]]*f[a[1]*b[3]*c[1]]*f[b[1]*c[2]])/
   129140163 + (622592*f[a[4]]*f[a[1]*b[3]*c[1]]*f[b[1]*c[2]])/
   4782969 - (3112960*f[a[1]^2*a[4]]*f[a[1]*b[3]*c[1]]*f[b[1]*c[2]])/
   129140163 - (3891200*f[a[6]]*f[a[1]*b[3]*c[1]]*f[b[1]*c[2]])/
   43046721 - (2105344*f[a[2]*b[1]*c[1]]*f[a[1]*b[3]*c[1]]*
     f[b[1]*c[2]])/14348907 + 
  (10526720*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[3]*c[1]]*f[b[1]*c[2]])/
   387420489 + (8421376*f[a[4]*b[1]*c[1]]*f[a[1]*b[3]*c[1]]*
     f[b[1]*c[2]])/129140163 + 
  (6553600*f[a[1]*b[2]*c[1]]*f[a[1]*b[3]*c[1]]*f[b[1]*c[2]])/14348907 - 
  (32768000*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[3]*c[1]]*f[b[1]*c[2]])/
   129140163 - (6553600*f[a[3]*b[2]*c[1]]*f[a[1]*b[3]*c[1]]*
     f[b[1]*c[2]])/129140163 - 
  (4980736*f[a[1]*a[2]]*f[a[1]^2*b[3]*c[1]]*f[b[1]*c[2]])/14348907 + 
  (24903680*f[a[1]^3*a[2]]*f[a[1]^2*b[3]*c[1]]*f[b[1]*c[2]])/
   129140163 + (4980736*f[a[2]*a[3]]*f[a[1]^2*b[3]*c[1]]*f[b[1]*c[2]])/
   129140163 + (19922944*f[a[1]*a[4]]*f[a[1]^2*b[3]*c[1]]*
     f[b[1]*c[2]])/129140163 - 
  (67371008*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*f[b[1]*c[2]])/
   387420489 - (2048000*f[b[2]*c[1]]*f[a[1]^2*b[3]*c[1]]*f[b[1]*c[2]])/
   14348907 + (73318400*f[a[1]^2*b[2]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[b[1]*c[2]])/129140163 + 
  (155648*f[a[1]]*f[a[2]*b[3]*c[1]]*f[b[1]*c[2]])/531441 - 
  (778240*f[a[1]^3]*f[a[2]*b[3]*c[1]]*f[b[1]*c[2]])/4782969 + 
  (19456000*f[a[1]^5]*f[a[2]*b[3]*c[1]]*f[b[1]*c[2]])/129140163 + 
  (4046848*f[a[1]*a[2]^2]*f[a[2]*b[3]*c[1]]*f[b[1]*c[2]])/129140163 + 
  (778240*f[a[3]]*f[a[2]*b[3]*c[1]]*f[b[1]*c[2]])/1594323 - 
  (1712128*f[a[1]^2*a[3]]*f[a[2]*b[3]*c[1]]*f[b[1]*c[2]])/129140163 - 
  (8560640*f[a[5]]*f[a[2]*b[3]*c[1]]*f[b[1]*c[2]])/43046721 + 
  (2105344*f[a[1]*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*f[b[1]*c[2]])/14348907 - 
  (10526720*f[a[1]^3*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*f[b[1]*c[2]])/
   129140163 + (10526720*f[a[3]*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[b[1]*c[2]])/43046721 - 
  (104857600*f[a[2]*b[2]*c[1]]*f[a[2]*b[3]*c[1]]*f[b[1]*c[2]])/
   129140163 - (12800*f[1]*f[b[4]*c[1]]*f[b[1]*c[2]])/177147 + 
  (64000*f[a[1]^2]*f[b[4]*c[1]]*f[b[1]*c[2]])/4782969 - 
  (320000*f[a[1]^4]*f[b[4]*c[1]]*f[b[1]*c[2]])/43046721 + 
  (8000000*f[a[1]^6]*f[b[4]*c[1]]*f[b[1]*c[2]])/1162261467 - 
  (332800*f[a[2]^2]*f[b[4]*c[1]]*f[b[1]*c[2]])/43046721 + 
  (1664000*f[a[1]^2*a[2]^2]*f[b[4]*c[1]]*f[b[1]*c[2]])/1162261467 - 
  (409600*f[a[1]*a[3]]*f[b[4]*c[1]]*f[b[1]*c[2]])/43046721 + 
  (2048000*f[a[1]^3*a[3]]*f[b[4]*c[1]]*f[b[1]*c[2]])/387420489 + 
  (11430400*f[a[3]^2]*f[b[4]*c[1]]*f[b[1]*c[2]])/1162261467 + 
  (26214400*f[a[2]*a[4]]*f[b[4]*c[1]]*f[b[1]*c[2]])/3486784401 + 
  (26624000*f[a[1]*a[5]]*f[b[4]*c[1]]*f[b[1]*c[2]])/3486784401 - 
  (279040*f[b[1]*c[1]]*f[b[4]*c[1]]*f[b[1]*c[2]])/1594323 + 
  (1395200*f[a[1]^2*b[1]*c[1]]*f[b[4]*c[1]]*f[b[1]*c[2]])/43046721 - 
  (6976000*f[a[1]^4*b[1]*c[1]]*f[b[4]*c[1]]*f[b[1]*c[2]])/387420489 - 
  (7255040*f[a[2]^2*b[1]*c[1]]*f[b[4]*c[1]]*f[b[1]*c[2]])/387420489 - 
  (8929280*f[a[1]*a[3]*b[1]*c[1]]*f[b[4]*c[1]]*f[b[1]*c[2]])/
   387420489 - (2523136*f[b[3]*c[1]]*f[b[4]*c[1]]*f[b[1]*c[2]])/
   14348907 + (12615680*f[a[1]^2*b[3]*c[1]]*f[b[4]*c[1]]*f[b[1]*c[2]])/
   387420489 - (204800*f[a[1]]*f[a[1]*b[4]*c[1]]*f[b[1]*c[2]])/
   4782969 + (1024000*f[a[1]^3]*f[a[1]*b[4]*c[1]]*f[b[1]*c[2]])/
   43046721 - (25600000*f[a[1]^5]*f[a[1]*b[4]*c[1]]*f[b[1]*c[2]])/
   1162261467 - (5324800*f[a[1]*a[2]^2]*f[a[1]*b[4]*c[1]]*
     f[b[1]*c[2]])/1162261467 + 
  (204800*f[a[3]]*f[a[1]*b[4]*c[1]]*f[b[1]*c[2]])/43046721 - 
  (4710400*f[a[1]^2*a[3]]*f[a[1]*b[4]*c[1]]*f[b[1]*c[2]])/387420489 - 
  (13312000*f[a[5]]*f[a[1]*b[4]*c[1]]*f[b[1]*c[2]])/3486784401 - 
  (4464640*f[a[1]*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*f[b[1]*c[2]])/43046721 + 
  (22323200*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*f[b[1]*c[2]])/
   387420489 + (4464640*f[a[3]*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[b[1]*c[2]])/387420489 + 
  (494927872*f[a[2]*b[2]*c[1]]*f[a[1]*b[4]*c[1]]*f[b[1]*c[2]])/
   3486784401 - (40370176*f[a[1]*b[3]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[b[1]*c[2]])/387420489 - 
  (7290880*f[b[2]*c[1]]*f[b[5]*c[1]]*f[b[1]*c[2]])/14348907 + 
  (36454400*f[a[1]^2*b[2]*c[1]]*f[b[5]*c[1]]*f[b[1]*c[2]])/387420489 + 
  (66682880*f[b[4]*c[1]]*f[b[5]*c[1]]*f[b[1]*c[2]])/1162261467 + 
  (1600*f[1]*f[b[1]*c[2]]^2)/6561 - 
  (8000*f[a[1]^2]*f[b[1]*c[2]]^2)/177147 + 
  (40000*f[a[1]^4]*f[b[1]*c[2]]^2)/1594323 - 
  (1000000*f[a[1]^6]*f[b[1]*c[2]]^2)/43046721 + 
  (41600*f[a[2]^2]*f[b[1]*c[2]]^2)/1594323 - 
  (208000*f[a[1]^2*a[2]^2]*f[b[1]*c[2]]^2)/43046721 + 
  (51200*f[a[1]*a[3]]*f[b[1]*c[2]]^2)/1594323 - 
  (256000*f[a[1]^3*a[3]]*f[b[1]*c[2]]^2)/14348907 - 
  (1428800*f[a[3]^2]*f[b[1]*c[2]]^2)/43046721 - 
  (3276800*f[a[2]*a[4]]*f[b[1]*c[2]]^2)/129140163 - 
  (3328000*f[a[1]*a[5]]*f[b[1]*c[2]]^2)/129140163 + 
  (1600*f[b[1]*c[1]]*f[b[1]*c[2]]^2)/6561 - 
  (8000*f[a[1]^2*b[1]*c[1]]*f[b[1]*c[2]]^2)/177147 + 
  (40000*f[a[1]^4*b[1]*c[1]]*f[b[1]*c[2]]^2)/1594323 + 
  (41600*f[a[2]^2*b[1]*c[1]]*f[b[1]*c[2]]^2)/1594323 + 
  (51200*f[a[1]*a[3]*b[1]*c[1]]*f[b[1]*c[2]]^2)/1594323 + 
  (163840*f[b[3]*c[1]]*f[b[1]*c[2]]^2)/1594323 - 
  (819200*f[a[1]^2*b[3]*c[1]]*f[b[1]*c[2]]^2)/43046721 - 
  (819200*f[b[5]*c[1]]*f[b[1]*c[2]]^2)/129140163 + 
  (40960*f[a[2]]*f[b[1]*c[1]]*f[a[1]*b[1]*c[2]])/177147 - 
  (204800*f[a[1]^2*a[2]]*f[b[1]*c[1]]*f[a[1]*b[1]*c[2]])/4782969 + 
  (1024000*f[a[1]^4*a[2]]*f[b[1]*c[1]]*f[a[1]*b[1]*c[2]])/43046721 + 
  (1064960*f[a[2]^3]*f[b[1]*c[1]]*f[a[1]*b[1]*c[2]])/14348907 + 
  (1310720*f[a[1]*a[2]*a[3]]*f[b[1]*c[1]]*f[a[1]*b[1]*c[2]])/43046721 - 
  (163840*f[a[4]]*f[b[1]*c[1]]*f[a[1]*b[1]*c[2]])/1594323 + 
  (819200*f[a[1]^2*a[4]]*f[b[1]*c[1]]*f[a[1]*b[1]*c[2]])/43046721 + 
  (1024000*f[a[6]]*f[b[1]*c[1]]*f[a[1]*b[1]*c[2]])/14348907 - 
  (1515520*f[a[2]]*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[1]*c[2]])/4782969 - 
  (4464640*f[a[1]^2*a[2]]*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[1]*c[2]])/
   43046721 + (171827200*f[a[1]^4*a[2]]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]*b[1]*c[2]])/1162261467 + 
  (217333760*f[a[2]^3]*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[1]*c[2]])/
   1162261467 - (9175040*f[a[1]*a[2]*a[3]]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]*b[1]*c[2]])/387420489 + 
  (6062080*f[a[4]]*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[1]*c[2]])/43046721 + 
  (17858560*f[a[1]^2*a[4]]*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[1]*c[2]])/
   387420489 - (37888000*f[a[6]]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]*b[1]*c[2]])/387420489 - 
  (20971520*f[a[1]*a[2]]*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[1]*c[2]])/
   43046721 - (356515840*f[a[1]^3*a[2]]*f[a[1]^3*b[1]*c[1]]*
     f[a[1]*b[1]*c[2]])/1162261467 + 
  (20971520*f[a[2]*a[3]]*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[1]*c[2]])/
   387420489 + (83886080*f[a[1]*a[4]]*f[a[1]^3*b[1]*c[1]]*
     f[a[1]*b[1]*c[2]])/387420489 + 
  (4710400*f[a[2]]*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[1]*c[2]])/14348907 - 
  (401039360*f[a[1]^2*a[2]]*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[1]*c[2]])/
   387420489 - (9796935680*f[a[1]^4*a[2]]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]*b[1]*c[2]])/10460353203 - 
  (28234465280*f[a[2]^3]*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[1]*c[2]])/
   31381059609 + (528220160*f[a[1]*a[2]*a[3]]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]*b[1]*c[2]])/3486784401 - 
  (18841600*f[a[4]]*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[1]*c[2]])/129140163 + 
  (1604157440*f[a[1]^2*a[4]]*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[1]*c[2]])/
   3486784401 + (117760000*f[a[6]]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]*b[1]*c[2]])/1162261467 - 
  (40960*f[1]*f[a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[2]])/177147 + 
  (1515520*f[a[1]^2]*f[a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[2]])/4782969 - 
  (4710400*f[a[1]^4]*f[a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[2]])/14348907 + 
  (517120000*f[a[1]^6]*f[a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[2]])/
   1162261467 - (22036480*f[a[2]^2]*f[a[2]*b[1]*c[1]]*
     f[a[1]*b[1]*c[2]])/43046721 + 
  (48087040*f[a[1]^2*a[2]^2]*f[a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[2]])/
   387420489 + (2621440*f[a[1]*a[3]]*f[a[2]*b[1]*c[1]]*
     f[a[1]*b[1]*c[2]])/14348907 + 
  (2621440*f[a[1]^3*a[3]]*f[a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[2]])/
   387420489 - (22405120*f[a[3]^2]*f[a[2]*b[1]*c[1]]*
     f[a[1]*b[1]*c[2]])/1162261467 + 
  (167772160*f[a[2]*a[4]]*f[a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[2]])/
   1162261467 - (65536000*f[a[1]*a[5]]*f[a[2]*b[1]*c[1]]*
     f[a[1]*b[1]*c[2]])/1162261467 + 
  (20971520*f[a[1]^3]*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[2]])/
   43046721 - (1048576000*f[a[1]^5]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[1]*b[1]*c[2]])/1162261467 - 
  (335544320*f[a[1]*a[2]^2]*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[2]])/
   3486784401 + (10485760*f[a[3]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[1]*b[1]*c[2]])/43046721 + 
  (73400320*f[a[1]^2*a[3]]*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[2]])/
   387420489 - (367001600*f[a[5]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[1]*b[1]*c[2]])/3486784401 + 
  (204800*f[1]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[2]])/4782969 + 
  (4464640*f[a[1]^2]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[2]])/
   43046721 + (401039360*f[a[1]^4]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*b[1]*c[2]])/387420489 - 
  (95384576000*f[a[1]^6]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[2]])/
   31381059609 + (2008268800*f[a[2]^2]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*b[1]*c[2]])/3486784401 + 
  (1395343360*f[a[1]^2*a[2]^2]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*b[1]*c[2]])/10460353203 + 
  (91750400*f[a[1]*a[3]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[2]])/
   387420489 + (3111649280*f[a[1]^3*a[3]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*b[1]*c[2]])/10460353203 - 
  (1838325760*f[a[3]^2]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[2]])/
   31381059609 - (11911823360*f[a[2]*a[4]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*b[1]*c[2]])/94143178827 - 
  (3132620800*f[a[1]*a[5]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[2]])/
   31381059609 + (22036480*f[a[2]]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]*b[1]*c[2]])/43046721 - 
  (2008268800*f[a[1]^2*a[2]]*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[1]*c[2]])/
   3486784401 + (18429952000*f[a[1]^4*a[2]]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]*b[1]*c[2]])/31381059609 + 
  (5941657600*f[a[2]^3]*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[1]*c[2]])/
   3486784401 - (2314731520*f[a[1]*a[2]*a[3]]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]*b[1]*c[2]])/10460353203 - 
  (122224640*f[a[4]]*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[1]*c[2]])/
   3486784401 - (731054080*f[a[1]^2*a[4]]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]*b[1]*c[2]])/94143178827 + 
  (310558720*f[a[6]]*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[1]*c[2]])/
   10460353203 - (10485760*f[a[1]*a[2]]*f[a[3]*b[1]*c[1]]*
     f[a[1]*b[1]*c[2]])/43046721 + 
  (52428800*f[a[1]^3*a[2]]*f[a[3]*b[1]*c[1]]*f[a[1]*b[1]*c[2]])/
   387420489 + (450887680*f[a[2]*a[3]]*f[a[3]*b[1]*c[1]]*
     f[a[1]*b[1]*c[2]])/1162261467 - 
  (41943040*f[a[1]*a[4]]*f[a[3]*b[1]*c[1]]*f[a[1]*b[1]*c[2]])/
   129140163 - (2621440*f[a[2]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]*b[1]*c[2]])/14348907 - 
  (91750400*f[a[1]^2*a[2]]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*b[1]*c[2]])/
   387420489 + (327680000*f[a[1]^4*a[2]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]*b[1]*c[2]])/1162261467 + 
  (1473249280*f[a[2]^3]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*b[1]*c[2]])/
   3486784401 + (20971520*f[a[1]*a[2]*a[3]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]*b[1]*c[2]])/3486784401 - 
  (136314880*f[a[4]]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*b[1]*c[2]])/
   387420489 - (1142947840*f[a[1]^2*a[4]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]*b[1]*c[2]])/3486784401 + 
  (4605870080*f[a[6]]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*b[1]*c[2]])/
   31381059609 + (163840*f[1]*f[a[4]*b[1]*c[1]]*f[a[1]*b[1]*c[2]])/
   1594323 - (6062080*f[a[1]^2]*f[a[4]*b[1]*c[1]]*f[a[1]*b[1]*c[2]])/
   43046721 + (18841600*f[a[1]^4]*f[a[4]*b[1]*c[1]]*f[a[1]*b[1]*c[2]])/
   129140163 - (2068480000*f[a[1]^6]*f[a[4]*b[1]*c[1]]*
     f[a[1]*b[1]*c[2]])/10460353203 + 
  (122224640*f[a[2]^2]*f[a[4]*b[1]*c[1]]*f[a[1]*b[1]*c[2]])/
   3486784401 - (1837957120*f[a[1]^2*a[2]^2]*f[a[4]*b[1]*c[1]]*
     f[a[1]*b[1]*c[2]])/94143178827 + 
  (136314880*f[a[1]*a[3]]*f[a[4]*b[1]*c[1]]*f[a[1]*b[1]*c[2]])/
   387420489 - (10485760*f[a[1]^3*a[3]]*f[a[4]*b[1]*c[1]]*
     f[a[1]*b[1]*c[2]])/43046721 - 
  (917012480*f[a[3]^2]*f[a[4]*b[1]*c[1]]*f[a[1]*b[1]*c[2]])/
   10460353203 - (15435038720*f[a[2]*a[4]]*f[a[4]*b[1]*c[1]]*
     f[a[1]*b[1]*c[2]])/31381059609 + 
  (38430310400*f[a[1]*a[5]]*f[a[4]*b[1]*c[1]]*f[a[1]*b[1]*c[2]])/
   94143178827 - (28672*f[a[1]]*f[b[2]*c[1]]*f[a[1]*b[1]*c[2]])/59049 + 
  (143360*f[a[1]^3]*f[b[2]*c[1]]*f[a[1]*b[1]*c[2]])/531441 - 
  (3584000*f[a[1]^5]*f[b[2]*c[1]]*f[a[1]*b[1]*c[2]])/14348907 - 
  (745472*f[a[1]*a[2]^2]*f[b[2]*c[1]]*f[a[1]*b[1]*c[2]])/14348907 + 
  (28672*f[a[3]]*f[b[2]*c[1]]*f[a[1]*b[1]*c[2]])/531441 - 
  (659456*f[a[1]^2*a[3]]*f[b[2]*c[1]]*f[a[1]*b[1]*c[2]])/4782969 - 
  (1863680*f[a[5]]*f[b[2]*c[1]]*f[a[1]*b[1]*c[2]])/43046721 + 
  (561152*f[a[1]*b[1]*c[1]]*f[b[2]*c[1]]*f[a[1]*b[1]*c[2]])/4782969 - 
  (2805760*f[a[1]^3*b[1]*c[1]]*f[b[2]*c[1]]*f[a[1]*b[1]*c[2]])/
   43046721 - (561152*f[a[3]*b[1]*c[1]]*f[b[2]*c[1]]*
     f[a[1]*b[1]*c[2]])/43046721 - 
  (28672*f[1]*f[a[1]*b[2]*c[1]]*f[a[1]*b[1]*c[2]])/59049 - 
  (28672*f[a[1]^2]*f[a[1]*b[2]*c[1]]*f[a[1]*b[1]*c[2]])/59049 + 
  (8458240*f[a[1]^4]*f[a[1]*b[2]*c[1]]*f[a[1]*b[1]*c[2]])/14348907 - 
  (326144000*f[a[1]^6]*f[a[1]*b[2]*c[1]]*f[a[1]*b[1]*c[2]])/387420489 + 
  (12443648*f[a[2]^2]*f[a[1]*b[2]*c[1]]*f[a[1]*b[1]*c[2]])/43046721 - 
  (133783552*f[a[1]^2*a[2]^2]*f[a[1]*b[2]*c[1]]*f[a[1]*b[1]*c[2]])/
   1162261467 - (29360128*f[a[1]^3*a[3]]*f[a[1]*b[2]*c[1]]*
     f[a[1]*b[1]*c[2]])/129140163 + 
  (22851584*f[a[3]^2]*f[a[1]*b[2]*c[1]]*f[a[1]*b[1]*c[2]])/387420489 - 
  (117440512*f[a[2]*a[4]]*f[a[1]*b[2]*c[1]]*f[a[1]*b[1]*c[2]])/
   1162261467 + (561152*f[b[1]*c[1]]*f[a[1]*b[2]*c[1]]*
     f[a[1]*b[1]*c[2]])/4782969 + 
  (561152*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*f[a[1]*b[1]*c[2]])/
   4782969 - (165539840*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*
     f[a[1]*b[1]*c[2]])/1162261467 - 
  (243539968*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*f[a[1]*b[1]*c[2]])/
   3486784401 - (28672*f[a[1]]*f[a[1]^2*b[2]*c[1]]*f[a[1]*b[1]*c[2]])/
   59049 - (10809344*f[a[1]^3]*f[a[1]^2*b[2]*c[1]]*f[a[1]*b[1]*c[2]])/
   14348907 + (637235200*f[a[1]^5]*f[a[1]^2*b[2]*c[1]]*
     f[a[1]*b[1]*c[2]])/387420489 + 
  (174497792*f[a[1]*a[2]^2]*f[a[1]^2*b[2]*c[1]]*f[a[1]*b[1]*c[2]])/
   1162261467 + (28672*f[a[3]]*f[a[1]^2*b[2]*c[1]]*f[a[1]*b[1]*c[2]])/
   531441 - (3125248*f[a[1]^2*a[3]]*f[a[1]^2*b[2]*c[1]]*
     f[a[1]*b[1]*c[2]])/129140163 - 
  (1863680*f[a[5]]*f[a[1]^2*b[2]*c[1]]*f[a[1]*b[1]*c[2]])/43046721 + 
  (561152*f[a[1]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*f[a[1]*b[1]*c[2]])/
   4782969 + (211554304*f[a[1]^3*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*
     f[a[1]*b[1]*c[2]])/1162261467 - 
  (561152*f[a[3]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*f[a[1]*b[1]*c[2]])/
   43046721 + (143360*f[1]*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[1]*c[2]])/
   531441 - (10809344*f[a[1]^2]*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[1]*c[2]])/
   14348907 - (625995776*f[a[1]^4]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*b[1]*c[2]])/387420489 + 
  (6537932800*f[a[1]^6]*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[1]*c[2]])/
   1162261467 - (99033088*f[a[2]^2]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*b[1]*c[2]])/129140163 + 
  (25862144*f[a[1]^2*a[2]^2]*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[1]*c[2]])/
   387420489 + (14680064*f[a[1]*a[3]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*b[1]*c[2]])/129140163 - 
  (249561088*f[a[1]^3*a[3]]*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[1]*c[2]])/
   3486784401 - (158298112*f[a[3]^2]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*b[1]*c[2]])/3486784401 + 
  (3405774848*f[a[2]*a[4]]*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[1]*c[2]])/
   10460353203 - (954204160*f[a[1]*a[5]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*b[1]*c[2]])/10460353203 - 
  (2805760*f[b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[1]*c[2]])/
   43046721 + (211554304*f[a[1]^2*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*b[1]*c[2]])/1162261467 + 
  (12251631616*f[a[1]^4*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*b[1]*c[2]])/31381059609 + 
  (1938219008*f[a[2]^2*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*b[1]*c[2]])/10460353203 - 
  (287309824*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*b[1]*c[2]])/10460353203 + 
  (14680064*f[a[1]*a[2]]*f[a[2]*b[2]*c[1]]*f[a[1]*b[1]*c[2]])/
   43046721 - (73400320*f[a[1]^3*a[2]]*f[a[2]*b[2]*c[1]]*
     f[a[1]*b[1]*c[2]])/387420489 - 
  (14680064*f[a[2]*a[3]]*f[a[2]*b[2]*c[1]]*f[a[1]*b[1]*c[2]])/
   43046721 + (58720256*f[a[1]*a[4]]*f[a[2]*b[2]*c[1]]*
     f[a[1]*b[1]*c[2]])/1162261467 - 
  (287309824*f[a[1]*a[2]*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*
     f[a[1]*b[1]*c[2]])/3486784401 + 
  (14680064*f[a[2]]*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]*b[1]*c[2]])/
   43046721 + (631242752*f[a[1]^2*a[2]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]*b[1]*c[2]])/1162261467 - 
  (6679429120*f[a[1]^4*a[2]]*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]*b[1]*c[2]])/
   10460353203 - (3376414720*f[a[2]^3]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]*b[1]*c[2]])/3486784401 - 
  (234881024*f[a[1]*a[2]*a[3]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]*b[1]*c[2]])/10460353203 + 
  (58720256*f[a[4]]*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]*b[1]*c[2]])/
   1162261467 - (411041792*f[a[1]^2*a[4]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]*b[1]*c[2]])/10460353203 - 
  (102760448*f[a[6]]*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]*b[1]*c[2]])/
   3486784401 - (287309824*f[a[2]*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]*b[1]*c[2]])/3486784401 - 
  (12354322432*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]*b[1]*c[2]])/94143178827 - 
  (1149239296*f[a[4]*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]*b[1]*c[2]])/94143178827 + 
  (28672*f[1]*f[a[3]*b[2]*c[1]]*f[a[1]*b[1]*c[2]])/531441 + 
  (28672*f[a[1]^2]*f[a[3]*b[2]*c[1]]*f[a[1]*b[1]*c[2]])/531441 - 
  (8458240*f[a[1]^4]*f[a[3]*b[2]*c[1]]*f[a[1]*b[1]*c[2]])/129140163 + 
  (326144000*f[a[1]^6]*f[a[3]*b[2]*c[1]]*f[a[1]*b[1]*c[2]])/
   3486784401 + (24715264*f[a[2]^2]*f[a[3]*b[2]*c[1]]*
     f[a[1]*b[1]*c[2]])/43046721 - 
  (346873856*f[a[1]^2*a[2]^2]*f[a[3]*b[2]*c[1]]*f[a[1]*b[1]*c[2]])/
   3486784401 - (293601280*f[a[1]*a[3]]*f[a[3]*b[2]*c[1]]*
     f[a[1]*b[1]*c[2]])/387420489 + 
  (1556086784*f[a[1]^3*a[3]]*f[a[3]*b[2]*c[1]]*f[a[1]*b[1]*c[2]])/
   3486784401 + (28672*f[a[3]^2]*f[a[3]*b[2]*c[1]]*f[a[1]*b[1]*c[2]])/
   177147 + (2936012800*f[a[2]*a[4]]*f[a[3]*b[2]*c[1]]*
     f[a[1]*b[1]*c[2]])/10460353203 + 
  (293601280*f[a[1]*a[5]]*f[a[3]*b[2]*c[1]]*f[a[1]*b[1]*c[2]])/
   10460353203 - (561152*f[b[1]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[a[1]*b[1]*c[2]])/43046721 - 
  (561152*f[a[1]^2*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*f[a[1]*b[1]*c[2]])/
   43046721 + (165539840*f[a[1]^4*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[a[1]*b[1]*c[2]])/10460353203 - 
  (483713024*f[a[2]^2*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*f[a[1]*b[1]*c[2]])/
   3486784401 + (5746196480*f[a[1]*a[3]*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[a[1]*b[1]*c[2]])/31381059609 + 
  (155648*f[a[2]]*f[b[3]*c[1]]*f[a[1]*b[1]*c[2]])/531441 - 
  (778240*f[a[1]^2*a[2]]*f[b[3]*c[1]]*f[a[1]*b[1]*c[2]])/14348907 + 
  (3891200*f[a[1]^4*a[2]]*f[b[3]*c[1]]*f[a[1]*b[1]*c[2]])/129140163 + 
  (4046848*f[a[2]^3]*f[b[3]*c[1]]*f[a[1]*b[1]*c[2]])/43046721 + 
  (4980736*f[a[1]*a[2]*a[3]]*f[b[3]*c[1]]*f[a[1]*b[1]*c[2]])/
   129140163 - (622592*f[a[4]]*f[b[3]*c[1]]*f[a[1]*b[1]*c[2]])/
   4782969 + (3112960*f[a[1]^2*a[4]]*f[b[3]*c[1]]*f[a[1]*b[1]*c[2]])/
   129140163 + (3891200*f[a[6]]*f[b[3]*c[1]]*f[a[1]*b[1]*c[2]])/
   43046721 + (2105344*f[a[2]*b[1]*c[1]]*f[b[3]*c[1]]*
     f[a[1]*b[1]*c[2]])/14348907 - 
  (10526720*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[3]*c[1]]*f[a[1]*b[1]*c[2]])/
   387420489 - (8421376*f[a[4]*b[1]*c[1]]*f[b[3]*c[1]]*
     f[a[1]*b[1]*c[2]])/129140163 + 
  (6553600*f[a[1]*b[2]*c[1]]*f[b[3]*c[1]]*f[a[1]*b[1]*c[2]])/14348907 - 
  (32768000*f[a[1]^3*b[2]*c[1]]*f[b[3]*c[1]]*f[a[1]*b[1]*c[2]])/
   129140163 - (6553600*f[a[3]*b[2]*c[1]]*f[b[3]*c[1]]*
     f[a[1]*b[1]*c[2]])/129140163 + 
  (6553600*f[b[2]*c[1]]*f[a[1]*b[3]*c[1]]*f[a[1]*b[1]*c[2]])/14348907 + 
  (6553600*f[a[1]^2*b[2]*c[1]]*f[a[1]*b[3]*c[1]]*f[a[1]*b[1]*c[2]])/
   14348907 - (5758976*f[a[2]]*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[1]*c[2]])/
   14348907 - (16965632*f[a[1]^2*a[2]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]*b[1]*c[2]])/129140163 + 
  (652943360*f[a[1]^4*a[2]]*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[1]*c[2]])/
   3486784401 + (825868288*f[a[2]^3]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]*b[1]*c[2]])/3486784401 - 
  (34865152*f[a[1]*a[2]*a[3]]*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[1]*c[2]])/
   1162261467 + (23035904*f[a[4]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]*b[1]*c[2]])/129140163 + 
  (67862528*f[a[1]^2*a[4]]*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[1]*c[2]])/
   1162261467 - (143974400*f[a[6]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]*b[1]*c[2]])/1162261467 - 
  (77897728*f[a[2]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[1]*c[2]])/
   387420489 - (229482496*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]*b[1]*c[2]])/3486784401 + 
  (311590912*f[a[4]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[1]*c[2]])/
   3486784401 + (6553600*f[a[1]*b[2]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]*b[1]*c[2]])/14348907 + 
  (2470707200*f[a[1]^3*b[2]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]*b[1]*c[2]])/3486784401 - 
  (6553600*f[a[3]*b[2]*c[1]]*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[1]*c[2]])/
   129140163 - (155648*f[1]*f[a[2]*b[3]*c[1]]*f[a[1]*b[1]*c[2]])/
   531441 + (5758976*f[a[1]^2]*f[a[2]*b[3]*c[1]]*f[a[1]*b[1]*c[2]])/
   14348907 - (17899520*f[a[1]^4]*f[a[2]*b[3]*c[1]]*f[a[1]*b[1]*c[2]])/
   43046721 + (1965056000*f[a[1]^6]*f[a[2]*b[3]*c[1]]*
     f[a[1]*b[1]*c[2]])/3486784401 - 
  (83738624*f[a[2]^2]*f[a[2]*b[3]*c[1]]*f[a[1]*b[1]*c[2]])/129140163 + 
  (182730752*f[a[1]^2*a[2]^2]*f[a[2]*b[3]*c[1]]*f[a[1]*b[1]*c[2]])/
   1162261467 + (9961472*f[a[1]*a[3]]*f[a[2]*b[3]*c[1]]*
     f[a[1]*b[1]*c[2]])/43046721 + 
  (9961472*f[a[1]^3*a[3]]*f[a[2]*b[3]*c[1]]*f[a[1]*b[1]*c[2]])/
   1162261467 - (85139456*f[a[3]^2]*f[a[2]*b[3]*c[1]]*
     f[a[1]*b[1]*c[2]])/3486784401 + 
  (637534208*f[a[2]*a[4]]*f[a[2]*b[3]*c[1]]*f[a[1]*b[1]*c[2]])/
   3486784401 - (249036800*f[a[1]*a[5]]*f[a[2]*b[3]*c[1]]*
     f[a[1]*b[1]*c[2]])/3486784401 - 
  (2105344*f[b[1]*c[1]]*f[a[2]*b[3]*c[1]]*f[a[1]*b[1]*c[2]])/14348907 + 
  (77897728*f[a[1]^2*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*f[a[1]*b[1]*c[2]])/
   387420489 - (242114560*f[a[1]^4*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[a[1]*b[1]*c[2]])/1162261467 - 
  (1132675072*f[a[2]^2*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*f[a[1]*b[1]*c[2]])/
   3486784401 + (134742016*f[a[1]*a[3]*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[a[1]*b[1]*c[2]])/1162261467 - 
  (3355443200*f[a[1]*a[2]*b[2]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[a[1]*b[1]*c[2]])/10460353203 - 
  (204800*f[a[1]]*f[b[4]*c[1]]*f[a[1]*b[1]*c[2]])/4782969 + 
  (1024000*f[a[1]^3]*f[b[4]*c[1]]*f[a[1]*b[1]*c[2]])/43046721 - 
  (25600000*f[a[1]^5]*f[b[4]*c[1]]*f[a[1]*b[1]*c[2]])/1162261467 - 
  (5324800*f[a[1]*a[2]^2]*f[b[4]*c[1]]*f[a[1]*b[1]*c[2]])/1162261467 + 
  (204800*f[a[3]]*f[b[4]*c[1]]*f[a[1]*b[1]*c[2]])/43046721 - 
  (4710400*f[a[1]^2*a[3]]*f[b[4]*c[1]]*f[a[1]*b[1]*c[2]])/387420489 - 
  (13312000*f[a[5]]*f[b[4]*c[1]]*f[a[1]*b[1]*c[2]])/3486784401 - 
  (4464640*f[a[1]*b[1]*c[1]]*f[b[4]*c[1]]*f[a[1]*b[1]*c[2]])/43046721 + 
  (22323200*f[a[1]^3*b[1]*c[1]]*f[b[4]*c[1]]*f[a[1]*b[1]*c[2]])/
   387420489 + (4464640*f[a[3]*b[1]*c[1]]*f[b[4]*c[1]]*
     f[a[1]*b[1]*c[2]])/387420489 - 
  (494927872*f[a[2]*b[2]*c[1]]*f[b[4]*c[1]]*f[a[1]*b[1]*c[2]])/
   3486784401 - (40370176*f[a[1]*b[3]*c[1]]*f[b[4]*c[1]]*
     f[a[1]*b[1]*c[2]])/387420489 - 
  (204800*f[1]*f[a[1]*b[4]*c[1]]*f[a[1]*b[1]*c[2]])/4782969 - 
  (204800*f[a[1]^2]*f[a[1]*b[4]*c[1]]*f[a[1]*b[1]*c[2]])/4782969 + 
  (60416000*f[a[1]^4]*f[a[1]*b[4]*c[1]]*f[a[1]*b[1]*c[2]])/1162261467 - 
  (2329600000*f[a[1]^6]*f[a[1]*b[4]*c[1]]*f[a[1]*b[1]*c[2]])/
   31381059609 + (88883200*f[a[2]^2]*f[a[1]*b[4]*c[1]]*
     f[a[1]*b[1]*c[2]])/3486784401 - 
  (955596800*f[a[1]^2*a[2]^2]*f[a[1]*b[4]*c[1]]*f[a[1]*b[1]*c[2]])/
   94143178827 - (209715200*f[a[1]^3*a[3]]*f[a[1]*b[4]*c[1]]*
     f[a[1]*b[1]*c[2]])/10460353203 + 
  (163225600*f[a[3]^2]*f[a[1]*b[4]*c[1]]*f[a[1]*b[1]*c[2]])/
   31381059609 - (838860800*f[a[2]*a[4]]*f[a[1]*b[4]*c[1]]*
     f[a[1]*b[1]*c[2]])/94143178827 - 
  (4464640*f[b[1]*c[1]]*f[a[1]*b[4]*c[1]]*f[a[1]*b[1]*c[2]])/43046721 - 
  (4464640*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*f[a[1]*b[1]*c[2]])/
   43046721 + (1317068800*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[a[1]*b[1]*c[2]])/10460353203 + 
  (1937653760*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*f[a[1]*b[1]*c[2]])/
   31381059609 - (40370176*f[b[3]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[a[1]*b[1]*c[2]])/387420489 - 
  (40370176*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[4]*c[1]]*f[a[1]*b[1]*c[2]])/
   387420489 - (1761280*f[a[2]]*f[b[5]*c[1]]*f[a[1]*b[1]*c[2]])/
   14348907 + (8806400*f[a[1]^2*a[2]]*f[b[5]*c[1]]*f[a[1]*b[1]*c[2]])/
   387420489 - (44032000*f[a[1]^4*a[2]]*f[b[5]*c[1]]*
     f[a[1]*b[1]*c[2]])/3486784401 - 
  (45793280*f[a[2]^3]*f[b[5]*c[1]]*f[a[1]*b[1]*c[2]])/1162261467 - 
  (56360960*f[a[1]*a[2]*a[3]]*f[b[5]*c[1]]*f[a[1]*b[1]*c[2]])/
   3486784401 + (7045120*f[a[4]]*f[b[5]*c[1]]*f[a[1]*b[1]*c[2]])/
   129140163 - (35225600*f[a[1]^2*a[4]]*f[b[5]*c[1]]*
     f[a[1]*b[1]*c[2]])/3486784401 - 
  (44032000*f[a[6]]*f[b[5]*c[1]]*f[a[1]*b[1]*c[2]])/1162261467 - 
  (132177920*f[a[2]*b[1]*c[1]]*f[b[5]*c[1]]*f[a[1]*b[1]*c[2]])/
   1162261467 + (660889600*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[5]*c[1]]*
     f[a[1]*b[1]*c[2]])/31381059609 + 
  (528711680*f[a[4]*b[1]*c[1]]*f[b[5]*c[1]]*f[a[1]*b[1]*c[2]])/
   10460353203 - (116654080*f[a[1]*b[2]*c[1]]*f[b[5]*c[1]]*
     f[a[1]*b[1]*c[2]])/387420489 + 
  (583270400*f[a[1]^3*b[2]*c[1]]*f[b[5]*c[1]]*f[a[1]*b[1]*c[2]])/
   3486784401 + (116654080*f[a[3]*b[2]*c[1]]*f[b[5]*c[1]]*
     f[a[1]*b[1]*c[2]])/3486784401 - 
  (230686720*f[a[2]*b[3]*c[1]]*f[b[5]*c[1]]*f[a[1]*b[1]*c[2]])/
   3486784401 + (1066926080*f[a[1]*b[4]*c[1]]*f[b[5]*c[1]]*
     f[a[1]*b[1]*c[2]])/31381059609 + 
  (51200*f[a[1]]*f[b[1]*c[2]]*f[a[1]*b[1]*c[2]])/177147 - 
  (256000*f[a[1]^3]*f[b[1]*c[2]]*f[a[1]*b[1]*c[2]])/1594323 + 
  (6400000*f[a[1]^5]*f[b[1]*c[2]]*f[a[1]*b[1]*c[2]])/43046721 + 
  (1331200*f[a[1]*a[2]^2]*f[b[1]*c[2]]*f[a[1]*b[1]*c[2]])/43046721 - 
  (51200*f[a[3]]*f[b[1]*c[2]]*f[a[1]*b[1]*c[2]])/1594323 + 
  (1177600*f[a[1]^2*a[3]]*f[b[1]*c[2]]*f[a[1]*b[1]*c[2]])/14348907 + 
  (3328000*f[a[5]]*f[b[1]*c[2]]*f[a[1]*b[1]*c[2]])/129140163 + 
  (51200*f[a[1]*b[1]*c[1]]*f[b[1]*c[2]]*f[a[1]*b[1]*c[2]])/177147 - 
  (256000*f[a[1]^3*b[1]*c[1]]*f[b[1]*c[2]]*f[a[1]*b[1]*c[2]])/1594323 - 
  (51200*f[a[3]*b[1]*c[1]]*f[b[1]*c[2]]*f[a[1]*b[1]*c[2]])/1594323 + 
  (5242880*f[a[1]*b[3]*c[1]]*f[b[1]*c[2]]*f[a[1]*b[1]*c[2]])/43046721 + 
  (25600*f[1]*f[a[1]*b[1]*c[2]]^2)/177147 + 
  (25600*f[a[1]^2]*f[a[1]*b[1]*c[2]]^2)/177147 - 
  (7552000*f[a[1]^4]*f[a[1]*b[1]*c[2]]^2)/43046721 + 
  (291200000*f[a[1]^6]*f[a[1]*b[1]*c[2]]^2)/1162261467 - 
  (11110400*f[a[2]^2]*f[a[1]*b[1]*c[2]]^2)/129140163 + 
  (119449600*f[a[1]^2*a[2]^2]*f[a[1]*b[1]*c[2]]^2)/3486784401 + 
  (26214400*f[a[1]^3*a[3]]*f[a[1]*b[1]*c[2]]^2)/387420489 - 
  (20403200*f[a[3]^2]*f[a[1]*b[1]*c[2]]^2)/1162261467 + 
  (104857600*f[a[2]*a[4]]*f[a[1]*b[1]*c[2]]^2)/3486784401 + 
  (25600*f[b[1]*c[1]]*f[a[1]*b[1]*c[2]]^2)/177147 + 
  (25600*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[1]*c[2]]^2)/177147 - 
  (7552000*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[1]*c[2]]^2)/43046721 - 
  (11110400*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[1]*c[2]]^2)/129140163 + 
  (2621440*f[b[3]*c[1]]*f[a[1]*b[1]*c[2]]^2)/43046721 + 
  (2621440*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[1]*c[2]]^2)/43046721 - 
  (13107200*f[b[5]*c[1]]*f[a[1]*b[1]*c[2]]^2)/3486784401 + 
  (1310720*f[a[1]*a[2]]*f[b[1]*c[1]]*f[a[1]^2*b[1]*c[2]])/4782969 - 
  (6553600*f[a[1]^3*a[2]]*f[b[1]*c[1]]*f[a[1]^2*b[1]*c[2]])/43046721 - 
  (1310720*f[a[2]*a[3]]*f[b[1]*c[1]]*f[a[1]^2*b[1]*c[2]])/43046721 - 
  (5242880*f[a[1]*a[4]]*f[b[1]*c[1]]*f[a[1]^2*b[1]*c[2]])/43046721 + 
  (1515520*f[a[2]]*f[a[1]*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]])/4782969 + 
  (4464640*f[a[1]^2*a[2]]*f[a[1]*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   43046721 - (171827200*f[a[1]^4*a[2]]*f[a[1]*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/1162261467 - 
  (217333760*f[a[2]^3]*f[a[1]*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   1162261467 + (9175040*f[a[1]*a[2]*a[3]]*f[a[1]*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/387420489 - 
  (6062080*f[a[4]]*f[a[1]*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]])/43046721 - 
  (17858560*f[a[1]^2*a[4]]*f[a[1]*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   387420489 + (37888000*f[a[6]]*f[a[1]*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/387420489 - 
  (28549120*f[a[2]]*f[a[1]^3*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]])/43046721 - 
  (528343040*f[a[1]^2*a[2]]*f[a[1]^3*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   1162261467 - (3483361280*f[a[1]^4*a[2]]*f[a[1]^3*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/31381059609 + 
  (32242647040*f[a[2]^3]*f[a[1]^3*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   31381059609 - (242483200*f[a[1]*a[2]*a[3]]*f[a[1]^3*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/10460353203 + 
  (114196480*f[a[4]]*f[a[1]^3*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   387420489 + (2113372160*f[a[1]^2*a[4]]*f[a[1]^3*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/10460353203 - 
  (713728000*f[a[6]]*f[a[1]^3*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   3486784401 - (1374945280*f[a[1]*a[2]]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/1162261467 - 
  (58564280320*f[a[1]^3*a[2]]*f[a[1]^4*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   31381059609 + (1374945280*f[a[2]*a[3]]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/10460353203 + 
  (5499781120*f[a[1]*a[4]]*f[a[1]^4*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   10460353203 - (1515520*f[a[1]]*f[a[2]*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/4782969 + 
  (28549120*f[a[1]^3]*f[a[2]*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]])/43046721 - 
  (412672000*f[a[1]^5]*f[a[2]*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   387420489 - (1795932160*f[a[1]*a[2]^2]*f[a[2]*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/3486784401 - 
  (1761280*f[a[3]]*f[a[2]*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]])/43046721 + 
  (61480960*f[a[1]^2*a[3]]*f[a[2]*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   387420489 + (16179200*f[a[5]]*f[a[2]*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/3486784401 - 
  (1310720*f[1]*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]])/4782969 + 
  (1374945280*f[a[1]^4]*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   1162261467 - (102301696000*f[a[1]^6]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/31381059609 - 
  (1758986240*f[a[2]^2]*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   3486784401 - (11555307520*f[a[1]^2*a[2]^2]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/31381059609 + 
  (9175040*f[a[1]*a[3]]*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   43046721 + (2578186240*f[a[1]^3*a[3]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/10460353203 - 
  (547880960*f[a[3]^2]*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   31381059609 + (10150215680*f[a[2]*a[4]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/94143178827 - 
  (281804800*f[a[1]*a[5]]*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   3486784401 - (4464640*f[a[1]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/43046721 + 
  (528343040*f[a[1]^3]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   1162261467 + (27543756800*f[a[1]^5]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/10460353203 - 
  (5045862400*f[a[1]*a[2]^2]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/31381059609 + 
  (40591360*f[a[3]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   129140163 + (1561272320*f[a[1]^2*a[3]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/3486784401 - 
  (54272000*f[a[5]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   387420489 + (1758986240*f[a[1]*a[2]]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/3486784401 - 
  (3363307520*f[a[1]^3*a[2]]*f[a[2]^2*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   3486784401 - (2487746560*f[a[2]*a[3]]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/10460353203 + 
  (3722444800*f[a[1]*a[4]]*f[a[2]^2*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   94143178827 + (1761280*f[a[2]]*f[a[3]*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/43046721 - 
  (40591360*f[a[1]^2*a[2]]*f[a[3]*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   129140163 + (3609190400*f[a[1]^4*a[2]]*f[a[3]*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/10460353203 - 
  (1631928320*f[a[2]^3]*f[a[3]*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   3486784401 + (14660403200*f[a[1]*a[2]*a[3]]*f[a[3]*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/31381059609 + 
  (45383680*f[a[4]]*f[a[3]*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]])/387420489 - 
  (1389854720*f[a[1]^2*a[4]]*f[a[3]*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   3486784401 - (1596006400*f[a[6]]*f[a[3]*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/31381059609 - 
  (9175040*f[a[1]*a[2]]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   43046721 - (4130078720*f[a[1]^3*a[2]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/10460353203 + 
  (16262103040*f[a[2]*a[3]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/31381059609 - 
  (131072000*f[a[1]*a[4]]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   387420489 + (6062080*f[a[1]]*f[a[4]*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   43046721 - (114196480*f[a[1]^3]*f[a[4]*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/387420489 + 
  (1650688000*f[a[1]^5]*f[a[4]*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   3486784401 + (76349440*f[a[1]*a[2]^2]*f[a[4]*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/94143178827 - 
  (45383680*f[a[3]]*f[a[4]*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]])/387420489 + 
  (1631027200*f[a[1]^2*a[3]]*f[a[4]*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   3486784401 - (11466342400*f[a[5]]*f[a[4]*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/94143178827 + 
  (8960*f[1]*f[b[2]*c[1]]*f[a[1]^2*b[1]*c[2]])/59049 - 
  (320768*f[a[1]^2]*f[b[2]*c[1]]*f[a[1]^2*b[1]*c[2]])/531441 + 
  (9399040*f[a[1]^4]*f[b[2]*c[1]]*f[a[1]^2*b[1]*c[2]])/14348907 - 
  (349664000*f[a[1]^6]*f[b[2]*c[1]]*f[a[1]^2*b[1]*c[2]])/387420489 - 
  (13981184*f[a[2]^2]*f[b[2]*c[1]]*f[a[1]^2*b[1]*c[2]])/43046721 - 
  (1659392*f[a[1]^2*a[2]^2]*f[b[2]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   1162261467 + (401408*f[a[1]*a[3]]*f[b[2]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   4782969 - (35381248*f[a[1]^3*a[3]]*f[b[2]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/129140163 - 
  (10753792*f[a[3]^2]*f[b[2]*c[1]]*f[a[1]^2*b[1]*c[2]])/387420489 + 
  (157810688*f[a[2]*a[4]]*f[b[2]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   1162261467 - (26091520*f[a[1]*a[5]]*f[b[2]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/387420489 - 
  (175360*f[b[1]*c[1]]*f[b[2]*c[1]]*f[a[1]^2*b[1]*c[2]])/4782969 + 
  (6277888*f[a[1]^2*b[1]*c[1]]*f[b[2]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   43046721 - (183952640*f[a[1]^4*b[1]*c[1]]*f[b[2]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/1162261467 + 
  (273631744*f[a[2]^2*b[1]*c[1]]*f[b[2]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   3486784401 - (7856128*f[a[1]*a[3]*b[1]*c[1]]*f[b[2]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/387420489 - 
  (28672*f[a[1]]*f[a[1]*b[2]*c[1]]*f[a[1]^2*b[1]*c[2]])/59049 - 
  (10809344*f[a[1]^3]*f[a[1]*b[2]*c[1]]*f[a[1]^2*b[1]*c[2]])/14348907 + 
  (637235200*f[a[1]^5]*f[a[1]*b[2]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   387420489 + (174497792*f[a[1]*a[2]^2]*f[a[1]*b[2]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/1162261467 + 
  (28672*f[a[3]]*f[a[1]*b[2]*c[1]]*f[a[1]^2*b[1]*c[2]])/531441 - 
  (3125248*f[a[1]^2*a[3]]*f[a[1]*b[2]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   129140163 - (1863680*f[a[5]]*f[a[1]*b[2]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   43046721 + (561152*f[a[1]*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/4782969 + 
  (211554304*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/1162261467 - 
  (561152*f[a[3]*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   43046721 - (320768*f[1]*f[a[1]^2*b[2]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   531441 - (14911232*f[a[1]^2]*f[a[1]^2*b[2]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/14348907 - 
  (468129536*f[a[1]^4]*f[a[1]^2*b[2]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   387420489 + (17495430400*f[a[1]^6]*f[a[1]^2*b[2]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/3486784401 + 
  (1011265024*f[a[2]^2]*f[a[1]^2*b[2]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   1162261467 + (2037177856*f[a[1]^2*a[2]^2]*f[a[1]^2*b[2]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/10460353203 + 
  (6250496*f[a[1]*a[3]]*f[a[1]^2*b[2]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   129140163 - (739680256*f[a[1]^3*a[3]]*f[a[1]^2*b[2]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/3486784401 + 
  (236900608*f[a[3]^2]*f[a[1]^2*b[2]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   3486784401 - (1229455360*f[a[2]*a[4]]*f[a[1]^2*b[2]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/3486784401 - 
  (406282240*f[a[1]*a[5]]*f[a[1]^2*b[2]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   10460353203 + (6277888*f[b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/43046721 + 
  (291834112*f[a[1]^2*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/1162261467 + 
  (9161963776*f[a[1]^4*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/31381059609 - 
  (19791901184*f[a[2]^2*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/94143178827 - 
  (122331136*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/10460353203 - 
  (10809344*f[a[1]]*f[a[1]^3*b[2]*c[1]]*f[a[1]^2*b[1]*c[2]])/14348907 - 
  (953544704*f[a[1]^3]*f[a[1]^3*b[2]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   387420489 - (7810396160*f[a[1]^5]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/3486784401 + 
  (6673063936*f[a[1]*a[2]^2]*f[a[1]^3*b[2]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   10460353203 + (10809344*f[a[3]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/129140163 + 
  (369840128*f[a[1]^2*a[3]]*f[a[1]^3*b[2]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   3486784401 - (702607360*f[a[5]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/10460353203 + 
  (211554304*f[a[1]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/1162261467 + 
  (18662232064*f[a[1]^3*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/31381059609 - 
  (211554304*f[a[3]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/10460353203 + 
  (7798784*f[a[2]]*f[a[2]*b[2]*c[1]]*f[a[1]^2*b[1]*c[2]])/43046721 + 
  (195887104*f[a[1]^2*a[2]]*f[a[2]*b[2]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   1162261467 - (717946880*f[a[1]^4*a[2]]*f[a[2]*b[2]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/3486784401 + 
  (1320288256*f[a[2]^3]*f[a[2]*b[2]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   1162261467 - (1247805440*f[a[1]*a[2]*a[3]]*f[a[2]*b[2]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/3486784401 - 
  (166985728*f[a[4]]*f[a[2]*b[2]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   1162261467 + (614727680*f[a[1]^2*a[4]]*f[a[2]*b[2]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/3486784401 + 
  (341770240*f[a[6]]*f[a[2]*b[2]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   3486784401 - (152633344*f[a[2]*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/3486784401 - 
  (3833790464*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/94143178827 + 
  (3268149248*f[a[4]*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   94143178827 + (322961408*f[a[1]*a[2]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/1162261467 + 
  (1967128576*f[a[1]^3*a[2]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/3486784401 - 
  (1556086784*f[a[2]*a[3]]*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   3486784401 + (822083584*f[a[1]*a[4]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/10460353203 - 
  (6320816128*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/94143178827 + 
  (28672*f[a[1]]*f[a[3]*b[2]*c[1]]*f[a[1]^2*b[1]*c[2]])/531441 + 
  (10809344*f[a[1]^3]*f[a[3]*b[2]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   129140163 - (637235200*f[a[1]^5]*f[a[3]*b[2]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/3486784401 + 
  (7341694976*f[a[1]*a[2]^2]*f[a[3]*b[2]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   10460353203 + (89427968*f[a[3]]*f[a[3]*b[2]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/387420489 - 
  (3275288576*f[a[1]^2*a[3]]*f[a[3]*b[2]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   3486784401 - (41431040*f[a[5]]*f[a[3]*b[2]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/10460353203 - 
  (561152*f[a[1]*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   43046721 - (211554304*f[a[1]^3*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/10460353203 - 
  (1750233088*f[a[3]*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   31381059609 + (4980736*f[a[1]*a[2]]*f[b[3]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/14348907 - 
  (24903680*f[a[1]^3*a[2]]*f[b[3]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   129140163 - (4980736*f[a[2]*a[3]]*f[b[3]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   129140163 - (19922944*f[a[1]*a[4]]*f[b[3]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/129140163 + 
  (67371008*f[a[1]*a[2]*b[1]*c[1]]*f[b[3]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   387420489 - (2048000*f[b[2]*c[1]]*f[b[3]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   14348907 + (73318400*f[a[1]^2*b[2]*c[1]]*f[b[3]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/129140163 + 
  (5758976*f[a[2]]*f[a[1]*b[3]*c[1]]*f[a[1]^2*b[1]*c[2]])/14348907 + 
  (16965632*f[a[1]^2*a[2]]*f[a[1]*b[3]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   129140163 - (652943360*f[a[1]^4*a[2]]*f[a[1]*b[3]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/3486784401 - 
  (825868288*f[a[2]^3]*f[a[1]*b[3]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   3486784401 + (34865152*f[a[1]*a[2]*a[3]]*f[a[1]*b[3]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/1162261467 - 
  (23035904*f[a[4]]*f[a[1]*b[3]*c[1]]*f[a[1]^2*b[1]*c[2]])/129140163 - 
  (67862528*f[a[1]^2*a[4]]*f[a[1]*b[3]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   1162261467 + (143974400*f[a[6]]*f[a[1]*b[3]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/1162261467 + 
  (77897728*f[a[2]*b[1]*c[1]]*f[a[1]*b[3]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   387420489 + (229482496*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[3]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/3486784401 - 
  (311590912*f[a[4]*b[1]*c[1]]*f[a[1]*b[3]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   3486784401 + (6553600*f[a[1]*b[2]*c[1]]*f[a[1]*b[3]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/14348907 + 
  (2470707200*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[3]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/3486784401 - 
  (6553600*f[a[3]*b[2]*c[1]]*f[a[1]*b[3]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   129140163 + (73318400*f[b[2]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/129140163 + 
  (3408281600*f[a[1]^2*b[2]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/3486784401 - 
  (5758976*f[a[1]]*f[a[2]*b[3]*c[1]]*f[a[1]^2*b[1]*c[2]])/14348907 + 
  (108486656*f[a[1]^3]*f[a[2]*b[3]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   129140163 - (1568153600*f[a[1]^5]*f[a[2]*b[3]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/1162261467 - 
  (6824542208*f[a[1]*a[2]^2]*f[a[2]*b[3]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   10460353203 - (6692864*f[a[3]]*f[a[2]*b[3]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/129140163 + 
  (233627648*f[a[1]^2*a[3]]*f[a[2]*b[3]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   1162261467 + (61480960*f[a[5]]*f[a[2]*b[3]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/10460353203 - 
  (77897728*f[a[1]*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   387420489 + (1467424768*f[a[1]^3*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/3486784401 - 
  (90529792*f[a[3]*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   3486784401 - (1782579200*f[a[2]*b[2]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/10460353203 + 
  (64000*f[1]*f[b[4]*c[1]]*f[a[1]^2*b[1]*c[2]])/4782969 - 
  (2291200*f[a[1]^2]*f[b[4]*c[1]]*f[a[1]^2*b[1]*c[2]])/43046721 + 
  (67136000*f[a[1]^4]*f[b[4]*c[1]]*f[a[1]^2*b[1]*c[2]])/1162261467 - 
  (2497600000*f[a[1]^6]*f[b[4]*c[1]]*f[a[1]^2*b[1]*c[2]])/31381059609 - 
  (99865600*f[a[2]^2]*f[b[4]*c[1]]*f[a[1]^2*b[1]*c[2]])/3486784401 - 
  (11852800*f[a[1]^2*a[2]^2]*f[b[4]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   94143178827 + (2867200*f[a[1]*a[3]]*f[b[4]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/387420489 - 
  (252723200*f[a[1]^3*a[3]]*f[b[4]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   10460353203 - (76812800*f[a[3]^2]*f[b[4]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   31381059609 + (1127219200*f[a[2]*a[4]]*f[b[4]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/94143178827 - 
  (186368000*f[a[1]*a[5]]*f[b[4]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   31381059609 + (1395200*f[b[1]*c[1]]*f[b[4]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/43046721 - 
  (49948160*f[a[1]^2*b[1]*c[1]]*f[b[4]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   387420489 + (1463564800*f[a[1]^4*b[1]*c[1]]*f[b[4]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/10460353203 - 
  (2177070080*f[a[2]^2*b[1]*c[1]]*f[b[4]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   31381059609 + (62504960*f[a[1]*a[3]*b[1]*c[1]]*f[b[4]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/3486784401 - 
  (15837691904*f[a[1]*a[2]*b[2]*c[1]]*f[b[4]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/94143178827 + 
  (12615680*f[b[3]*c[1]]*f[b[4]*c[1]]*f[a[1]^2*b[1]*c[2]])/387420489 - 
  (451641344*f[a[1]^2*b[3]*c[1]]*f[b[4]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   3486784401 - (204800*f[a[1]]*f[a[1]*b[4]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   4782969 - (77209600*f[a[1]^3]*f[a[1]*b[4]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/1162261467 + 
  (4551680000*f[a[1]^5]*f[a[1]*b[4]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   31381059609 + (1246412800*f[a[1]*a[2]^2]*f[a[1]*b[4]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/94143178827 + 
  (204800*f[a[3]]*f[a[1]*b[4]*c[1]]*f[a[1]^2*b[1]*c[2]])/43046721 - 
  (22323200*f[a[1]^2*a[3]]*f[a[1]*b[4]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   10460353203 - (13312000*f[a[5]]*f[a[1]*b[4]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/3486784401 - 
  (4464640*f[a[1]*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   43046721 - (1683169280*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/10460353203 + 
  (4464640*f[a[3]*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   387420489 - (18312331264*f[a[2]*b[2]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/94143178827 - 
  (40370176*f[a[1]*b[3]*c[1]]*f[a[1]*b[4]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   387420489 - (56360960*f[a[1]*a[2]]*f[b[5]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/387420489 + 
  (281804800*f[a[1]^3*a[2]]*f[b[5]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   3486784401 + (56360960*f[a[2]*a[3]]*f[b[5]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/3486784401 + 
  (225443840*f[a[1]*a[4]]*f[b[5]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   3486784401 - (4229693440*f[a[1]*a[2]*b[1]*c[1]]*f[b[5]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/31381059609 + 
  (36454400*f[b[2]*c[1]]*f[b[5]*c[1]]*f[a[1]^2*b[1]*c[2]])/387420489 - 
  (1305067520*f[a[1]^2*b[2]*c[1]]*f[b[5]*c[1]]*f[a[1]^2*b[1]*c[2]])/
   3486784401 - (333414400*f[b[4]*c[1]]*f[b[5]*c[1]]*
     f[a[1]^2*b[1]*c[2]])/31381059609 - 
  (16000*f[1]*f[b[1]*c[2]]*f[a[1]^2*b[1]*c[2]])/177147 + 
  (572800*f[a[1]^2]*f[b[1]*c[2]]*f[a[1]^2*b[1]*c[2]])/1594323 - 
  (16784000*f[a[1]^4]*f[b[1]*c[2]]*f[a[1]^2*b[1]*c[2]])/43046721 + 
  (624400000*f[a[1]^6]*f[b[1]*c[2]]*f[a[1]^2*b[1]*c[2]])/1162261467 + 
  (24966400*f[a[2]^2]*f[b[1]*c[2]]*f[a[1]^2*b[1]*c[2]])/129140163 + 
  (2963200*f[a[1]^2*a[2]^2]*f[b[1]*c[2]]*f[a[1]^2*b[1]*c[2]])/
   3486784401 - (716800*f[a[1]*a[3]]*f[b[1]*c[2]]*f[a[1]^2*b[1]*c[2]])/
   14348907 + (63180800*f[a[1]^3*a[3]]*f[b[1]*c[2]]*
     f[a[1]^2*b[1]*c[2]])/387420489 + 
  (19203200*f[a[3]^2]*f[b[1]*c[2]]*f[a[1]^2*b[1]*c[2]])/1162261467 - 
  (281804800*f[a[2]*a[4]]*f[b[1]*c[2]]*f[a[1]^2*b[1]*c[2]])/
   3486784401 + (46592000*f[a[1]*a[5]]*f[b[1]*c[2]]*
     f[a[1]^2*b[1]*c[2]])/1162261467 - 
  (16000*f[b[1]*c[1]]*f[b[1]*c[2]]*f[a[1]^2*b[1]*c[2]])/177147 + 
  (572800*f[a[1]^2*b[1]*c[1]]*f[b[1]*c[2]]*f[a[1]^2*b[1]*c[2]])/
   1594323 - (16784000*f[a[1]^4*b[1]*c[1]]*f[b[1]*c[2]]*
     f[a[1]^2*b[1]*c[2]])/43046721 + 
  (24966400*f[a[2]^2*b[1]*c[1]]*f[b[1]*c[2]]*f[a[1]^2*b[1]*c[2]])/
   129140163 - (716800*f[a[1]*a[3]*b[1]*c[1]]*f[b[1]*c[2]]*
     f[a[1]^2*b[1]*c[2]])/14348907 - 
  (1638400*f[b[3]*c[1]]*f[b[1]*c[2]]*f[a[1]^2*b[1]*c[2]])/43046721 + 
  (58654720*f[a[1]^2*b[3]*c[1]]*f[b[1]*c[2]]*f[a[1]^2*b[1]*c[2]])/
   387420489 + (8192000*f[b[5]*c[1]]*f[b[1]*c[2]]*f[a[1]^2*b[1]*c[2]])/
   3486784401 + (51200*f[a[1]]*f[a[1]*b[1]*c[2]]*f[a[1]^2*b[1]*c[2]])/
   177147 + (19302400*f[a[1]^3]*f[a[1]*b[1]*c[2]]*f[a[1]^2*b[1]*c[2]])/
   43046721 - (1137920000*f[a[1]^5]*f[a[1]*b[1]*c[2]]*
     f[a[1]^2*b[1]*c[2]])/1162261467 - 
  (311603200*f[a[1]*a[2]^2]*f[a[1]*b[1]*c[2]]*f[a[1]^2*b[1]*c[2]])/
   3486784401 - (51200*f[a[3]]*f[a[1]*b[1]*c[2]]*f[a[1]^2*b[1]*c[2]])/
   1594323 + (5580800*f[a[1]^2*a[3]]*f[a[1]*b[1]*c[2]]*
     f[a[1]^2*b[1]*c[2]])/387420489 + 
  (3328000*f[a[5]]*f[a[1]*b[1]*c[2]]*f[a[1]^2*b[1]*c[2]])/129140163 + 
  (51200*f[a[1]*b[1]*c[1]]*f[a[1]*b[1]*c[2]]*f[a[1]^2*b[1]*c[2]])/
   177147 + (19302400*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[a[1]^2*b[1]*c[2]])/43046721 - 
  (51200*f[a[3]*b[1]*c[1]]*f[a[1]*b[1]*c[2]]*f[a[1]^2*b[1]*c[2]])/
   1594323 + (5242880*f[a[1]*b[3]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[a[1]^2*b[1]*c[2]])/43046721 + 
  (286400*f[1]*f[a[1]^2*b[1]*c[2]]^2)/1594323 + 
  (13313600*f[a[1]^2]*f[a[1]^2*b[1]*c[2]]^2)/43046721 + 
  (417972800*f[a[1]^4]*f[a[1]^2*b[1]*c[2]]^2)/1162261467 - 
  (15620920000*f[a[1]^6]*f[a[1]^2*b[1]*c[2]]^2)/10460353203 - 
  (902915200*f[a[2]^2]*f[a[1]^2*b[1]*c[2]]^2)/3486784401 - 
  (1818908800*f[a[1]^2*a[2]^2]*f[a[1]^2*b[1]*c[2]]^2)/31381059609 - 
  (5580800*f[a[1]*a[3]]*f[a[1]^2*b[1]*c[2]]^2)/387420489 + 
  (660428800*f[a[1]^3*a[3]]*f[a[1]^2*b[1]*c[2]]^2)/10460353203 - 
  (211518400*f[a[3]^2]*f[a[1]^2*b[1]*c[2]]^2)/10460353203 + 
  (1097728000*f[a[2]*a[4]]*f[a[1]^2*b[1]*c[2]]^2)/10460353203 + 
  (362752000*f[a[1]*a[5]]*f[a[1]^2*b[1]*c[2]]^2)/31381059609 + 
  (286400*f[b[1]*c[1]]*f[a[1]^2*b[1]*c[2]]^2)/1594323 + 
  (13313600*f[a[1]^2*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]]^2)/43046721 + 
  (417972800*f[a[1]^4*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]]^2)/1162261467 - 
  (902915200*f[a[2]^2*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]]^2)/3486784401 - 
  (5580800*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]]^2)/387420489 + 
  (29327360*f[b[3]*c[1]]*f[a[1]^2*b[1]*c[2]]^2)/387420489 + 
  (1363312640*f[a[1]^2*b[3]*c[1]]*f[a[1]^2*b[1]*c[2]]^2)/10460353203 - 
  (146636800*f[b[5]*c[1]]*f[a[1]^2*b[1]*c[2]]^2)/31381059609 - 
  (204800*f[a[2]]*f[b[1]*c[1]]*f[a[1]^3*b[1]*c[2]])/1594323 + 
  (7331840*f[a[1]^2*a[2]]*f[b[1]*c[1]]*f[a[1]^3*b[1]*c[2]])/14348907 - 
  (214835200*f[a[1]^4*a[2]]*f[b[1]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   387420489 + (287621120*f[a[2]^3]*f[b[1]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   1162261467 - (9175040*f[a[1]*a[2]*a[3]]*f[b[1]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/129140163 + 
  (819200*f[a[4]]*f[b[1]*c[1]]*f[a[1]^3*b[1]*c[2]])/14348907 - 
  (29327360*f[a[1]^2*a[4]]*f[b[1]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   129140163 - (5120000*f[a[6]]*f[b[1]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   129140163 + (20971520*f[a[1]*a[2]]*f[a[1]*b[1]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/43046721 + 
  (356515840*f[a[1]^3*a[2]]*f[a[1]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   1162261467 - (20971520*f[a[2]*a[3]]*f[a[1]*b[1]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/387420489 - 
  (83886080*f[a[1]*a[4]]*f[a[1]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   387420489 + (28549120*f[a[2]]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/43046721 + 
  (528343040*f[a[1]^2*a[2]]*f[a[1]^2*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   1162261467 + (3483361280*f[a[1]^4*a[2]]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/31381059609 - 
  (32242647040*f[a[2]^3]*f[a[1]^2*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   31381059609 + (242483200*f[a[1]*a[2]*a[3]]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/10460353203 - 
  (114196480*f[a[4]]*f[a[1]^2*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   387420489 - (2113372160*f[a[1]^2*a[4]]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/10460353203 + 
  (713728000*f[a[6]]*f[a[1]^2*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   3486784401 - (2183290880*f[a[2]]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/1162261467 - 
  (55080919040*f[a[1]^2*a[2]]*f[a[1]^4*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   31381059609 - (220541296640*f[a[1]^4*a[2]]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/94143178827 + 
  (449570816000*f[a[2]^3]*f[a[1]^4*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   94143178827 - (3867934720*f[a[1]*a[2]*a[3]]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/282429536481 + 
  (8733163520*f[a[4]]*f[a[1]^4*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   10460353203 + (220323676160*f[a[1]^2*a[4]]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/282429536481 - 
  (54582272000*f[a[6]]*f[a[1]^4*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   94143178827 + (204800*f[1]*f[a[2]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   1594323 - (28549120*f[a[1]^2]*f[a[2]*b[1]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/43046721 + 
  (2183290880*f[a[1]^4]*f[a[2]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   1162261467 - (44004352000*f[a[1]^6]*f[a[2]*b[1]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/10460353203 - 
  (4997120*f[a[2]^2]*f[a[2]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   1162261467 - (23596810240*f[a[1]^2*a[2]^2]*f[a[2]*b[1]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/31381059609 - 
  (18350080*f[a[1]*a[3]]*f[a[2]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   387420489 + (553123840*f[a[1]^3*a[3]]*f[a[2]*b[1]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/3486784401 + 
  (49111040*f[a[3]^2]*f[a[2]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   10460353203 + (167772160*f[a[2]*a[4]]*f[a[2]*b[1]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/3486784401 - 
  (380108800*f[a[1]*a[5]]*f[a[2]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   31381059609 - (20971520*f[a[1]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/43046721 + 
  (115238502400*f[a[1]^5]*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   31381059609 - (21432893440*f[a[1]*a[2]^2]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/31381059609 - 
  (10485760*f[a[3]]*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   129140163 + (2820669440*f[a[1]^2*a[3]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/10460353203 + 
  (52428800*f[a[5]]*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   3486784401 - (7331840*f[1]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/14348907 - 
  (528343040*f[a[1]^2]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   1162261467 + (55080919040*f[a[1]^4]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/31381059609 + 
  (756942233600*f[a[1]^6]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/94143178827 - 
  (20736819200*f[a[2]^2]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   31381059609 - (976897064960*f[a[1]^2*a[2]^2]*
     f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]])/847288609443 + 
  (3887595520*f[a[1]*a[3]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/10460353203 + 
  (83616071680*f[a[1]^3*a[3]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/94143178827 - 
  (1997250560*f[a[3]^2]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   94143178827 + (39426457600*f[a[2]*a[4]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/847288609443 - 
  (134099763200*f[a[1]*a[5]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/847288609443 + 
  (4997120*f[a[2]]*f[a[2]^2*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   1162261467 + (20736819200*f[a[1]^2*a[2]]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/31381059609 - 
  (183696834560*f[a[1]^4*a[2]]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/94143178827 + 
  (282918092800*f[a[2]^3]*f[a[2]^2*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   282429536481 - (138713497600*f[a[1]*a[2]*a[3]]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/282429536481 - 
  (3415408640*f[a[4]]*f[a[2]^2*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   31381059609 + (218906951680*f[a[1]^2*a[4]]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/847288609443 + 
  (2278604800*f[a[6]]*f[a[2]^2*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   31381059609 + (10485760*f[a[1]*a[2]]*f[a[3]*b[1]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/129140163 - 
  (241172480*f[a[1]^3*a[2]]*f[a[3]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   387420489 - (2191523840*f[a[2]*a[3]]*f[a[3]*b[1]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/10460353203 + 
  (713031680*f[a[1]*a[4]]*f[a[3]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   3486784401 + (18350080*f[a[2]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/387420489 - 
  (3887595520*f[a[1]^2*a[2]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/10460353203 - 
  (249820610560*f[a[1]^4*a[2]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/282429536481 - 
  (285951918080*f[a[2]^3]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   282429536481 + (227897507840*f[a[1]*a[2]*a[3]]*
     f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]])/282429536481 + 
  (765460480*f[a[4]]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   3486784401 - (47699722240*f[a[1]^2*a[4]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/94143178827 - 
  (27747942400*f[a[6]]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   282429536481 - (819200*f[1]*f[a[4]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   14348907 + (114196480*f[a[1]^2]*f[a[4]*b[1]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/387420489 - 
  (8733163520*f[a[1]^4]*f[a[4]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   10460353203 + (176017408000*f[a[1]^6]*f[a[4]*b[1]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/94143178827 + 
  (3415408640*f[a[2]^2]*f[a[4]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   31381059609 - (25737625600*f[a[1]^2*a[2]^2]*f[a[4]*b[1]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/282429536481 - 
  (765460480*f[a[1]*a[3]]*f[a[4]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   3486784401 + (91844771840*f[a[1]^3*a[3]]*f[a[4]*b[1]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/94143178827 + 
  (4836720640*f[a[3]^2]*f[a[4]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   94143178827 + (61069066240*f[a[2]*a[4]]*f[a[4]*b[1]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/282429536481 - 
  (175793766400*f[a[1]*a[5]]*f[a[4]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   847288609443 + (143360*f[a[1]]*f[b[2]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   531441 - (16830464*f[a[1]^3]*f[b[2]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   14348907 + (787763200*f[a[1]^5]*f[b[2]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   387420489 - (223698944*f[a[1]*a[2]^2]*f[b[2]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/387420489 - 
  (143360*f[a[3]]*f[b[2]*c[1]]*f[a[1]^3*b[1]*c[2]])/4782969 + 
  (24571904*f[a[1]^2*a[3]]*f[b[2]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   129140163 + (9318400*f[a[5]]*f[b[2]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   387420489 - (2805760*f[a[1]*b[1]*c[1]]*f[b[2]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/43046721 + 
  (329396224*f[a[1]^3*b[1]*c[1]]*f[b[2]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   1162261467 + (2805760*f[a[3]*b[1]*c[1]]*f[b[2]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/387420489 + 
  (143360*f[1]*f[a[1]*b[2]*c[1]]*f[a[1]^3*b[1]*c[2]])/531441 - 
  (10809344*f[a[1]^2]*f[a[1]*b[2]*c[1]]*f[a[1]^3*b[1]*c[2]])/14348907 - 
  (625995776*f[a[1]^4]*f[a[1]*b[2]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   387420489 + (6537932800*f[a[1]^6]*f[a[1]*b[2]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/1162261467 - 
  (99033088*f[a[2]^2]*f[a[1]*b[2]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   129140163 + (25862144*f[a[1]^2*a[2]^2]*f[a[1]*b[2]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/387420489 + 
  (14680064*f[a[1]*a[3]]*f[a[1]*b[2]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   129140163 - (249561088*f[a[1]^3*a[3]]*f[a[1]*b[2]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/3486784401 - 
  (158298112*f[a[3]^2]*f[a[1]*b[2]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   3486784401 + (3405774848*f[a[2]*a[4]]*f[a[1]*b[2]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/10460353203 - 
  (954204160*f[a[1]*a[5]]*f[a[1]*b[2]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   10460353203 - (2805760*f[b[1]*c[1]]*f[a[1]*b[2]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/43046721 + 
  (211554304*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/1162261467 + 
  (12251631616*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/31381059609 + 
  (1938219008*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/10460353203 - 
  (287309824*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/10460353203 - 
  (10809344*f[a[1]]*f[a[1]^2*b[2]*c[1]]*f[a[1]^3*b[1]*c[2]])/14348907 - 
  (953544704*f[a[1]^3]*f[a[1]^2*b[2]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   387420489 - (7810396160*f[a[1]^5]*f[a[1]^2*b[2]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/3486784401 + 
  (6673063936*f[a[1]*a[2]^2]*f[a[1]^2*b[2]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   10460353203 + (10809344*f[a[3]]*f[a[1]^2*b[2]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/129140163 + 
  (369840128*f[a[1]^2*a[3]]*f[a[1]^2*b[2]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   3486784401 - (702607360*f[a[5]]*f[a[1]^2*b[2]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/10460353203 + 
  (211554304*f[a[1]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/1162261467 + 
  (18662232064*f[a[1]^3*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/31381059609 - 
  (211554304*f[a[3]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/10460353203 - 
  (16830464*f[1]*f[a[1]^3*b[2]*c[1]]*f[a[1]^3*b[1]*c[2]])/14348907 - 
  (953544704*f[a[1]^2]*f[a[1]^3*b[2]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   387420489 - (953544704*f[a[1]^4]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/129140163 - 
  (35385118720*f[a[1]^6]*f[a[1]^3*b[2]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   31381059609 + (9794412544*f[a[2]^2]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/3486784401 + 
  (6095036416*f[a[1]^2*a[2]^2]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/3486784401 + 
  (499122176*f[a[1]*a[3]]*f[a[1]^3*b[2]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   3486784401 + (11916513280*f[a[3]^2]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/94143178827 - 
  (333883375616*f[a[2]*a[4]]*f[a[1]^3*b[2]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   282429536481 - (32442941440*f[a[1]*a[5]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/282429536481 + 
  (329396224*f[b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   1162261467 + (18662232064*f[a[1]^2*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/31381059609 + 
  (18662232064*f[a[1]^4*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/10460353203 - 
  (191690645504*f[a[2]^2*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/282429536481 - 
  (9768534016*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/282429536481 + 
  (161480704*f[a[1]*a[2]]*f[a[2]*b[2]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   387420489 - (807403520*f[a[1]^3*a[2]]*f[a[2]*b[2]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/3486784401 + 
  (425721856*f[a[2]*a[3]]*f[a[2]*b[2]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   3486784401 - (3112173568*f[a[1]*a[4]]*f[a[2]*b[2]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/10460353203 - 
  (3160408064*f[a[1]*a[2]*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/31381059609 + 
  (161480704*f[a[2]]*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   387420489 + (3185573888*f[a[1]^2*a[2]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/10460353203 + 
  (132839899136*f[a[1]^4*a[2]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/282429536481 + 
  (189226024960*f[a[2]^3]*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   94143178827 - (58955137024*f[a[1]*a[2]*a[3]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/94143178827 - 
  (3112173568*f[a[4]]*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   10460353203 + (50323259392*f[a[1]^2*a[4]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/282429536481 + 
  (2128609280*f[a[6]]*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   10460353203 - (3160408064*f[a[2]*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/31381059609 - 
  (62346231808*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/847288609443 + 
  (60909682688*f[a[4]*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/847288609443 - 
  (143360*f[1]*f[a[3]*b[2]*c[1]]*f[a[1]^3*b[1]*c[2]])/4782969 + 
  (10809344*f[a[1]^2]*f[a[3]*b[2]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   129140163 + (625995776*f[a[1]^4]*f[a[3]*b[2]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/3486784401 - 
  (6537932800*f[a[1]^6]*f[a[3]*b[2]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   10460353203 - (877305856*f[a[2]^2]*f[a[3]*b[2]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/3486784401 + 
  (41810944000*f[a[1]^2*a[2]^2]*f[a[3]*b[2]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   31381059609 + (1423966208*f[a[1]*a[3]]*f[a[3]*b[2]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/3486784401 - 
  (171595268096*f[a[1]^3*a[3]]*f[a[3]*b[2]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   94143178827 - (925904896*f[a[3]^2]*f[a[3]*b[2]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/10460353203 - 
  (17498636288*f[a[2]*a[4]]*f[a[3]*b[2]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   94143178827 - (513802240*f[a[1]*a[5]]*f[a[3]*b[2]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/94143178827 + 
  (2805760*f[b[1]*c[1]]*f[a[3]*b[2]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   387420489 - (211554304*f[a[1]^2*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/10460353203 - 
  (12251631616*f[a[1]^4*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/282429536481 + 
  (17170128896*f[a[2]^2*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/282429536481 - 
  (27869052928*f[a[1]*a[3]*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/282429536481 - 
  (778240*f[a[2]]*f[b[3]*c[1]]*f[a[1]^3*b[1]*c[2]])/4782969 + 
  (27860992*f[a[1]^2*a[2]]*f[b[3]*c[1]]*f[a[1]^3*b[1]*c[2]])/43046721 - 
  (816373760*f[a[1]^4*a[2]]*f[b[3]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   1162261467 + (1092960256*f[a[2]^3]*f[b[3]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/3486784401 - 
  (34865152*f[a[1]*a[2]*a[3]]*f[b[3]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   387420489 + (3112960*f[a[4]]*f[b[3]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   43046721 - (111443968*f[a[1]^2*a[4]]*f[b[3]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/387420489 - 
  (19456000*f[a[6]]*f[b[3]*c[1]]*f[a[1]^3*b[1]*c[2]])/387420489 - 
  (10526720*f[a[2]*b[1]*c[1]]*f[b[3]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   129140163 + (376856576*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[3]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/1162261467 + 
  (42106880*f[a[4]*b[1]*c[1]]*f[b[3]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   1162261467 - (32768000*f[a[1]*b[2]*c[1]]*f[b[3]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/129140163 + 
  (3846963200*f[a[1]^3*b[2]*c[1]]*f[b[3]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   3486784401 + (32768000*f[a[3]*b[2]*c[1]]*f[b[3]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/1162261467 + 
  (79691776*f[a[1]*a[2]]*f[a[1]*b[3]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   129140163 + (1354760192*f[a[1]^3*a[2]]*f[a[1]*b[3]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/3486784401 - 
  (79691776*f[a[2]*a[3]]*f[a[1]*b[3]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   1162261467 - (318767104*f[a[1]*a[4]]*f[a[1]*b[3]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/1162261467 + 
  (1077936128*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]*b[3]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/3486784401 - 
  (32768000*f[b[2]*c[1]]*f[a[1]*b[3]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   129140163 + (2470707200*f[a[1]^2*b[2]*c[1]]*f[a[1]*b[3]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/3486784401 + 
  (108486656*f[a[2]]*f[a[1]^2*b[3]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   129140163 + (2007703552*f[a[1]^2*a[2]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/3486784401 + 
  (13236772864*f[a[1]^4*a[2]]*f[a[1]^2*b[3]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   94143178827 - (122522058752*f[a[2]^3]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/94143178827 + 
  (921436160*f[a[1]*a[2]*a[3]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/31381059609 - 
  (433946624*f[a[4]]*f[a[1]^2*b[3]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   1162261467 - (8030814208*f[a[1]^2*a[4]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/31381059609 + 
  (2712166400*f[a[6]]*f[a[1]^2*b[3]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   10460353203 + (1467424768*f[a[2]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/3486784401 + 
  (27156832256*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/94143178827 - 
  (5869699072*f[a[4]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/31381059609 + 
  (2470707200*f[a[1]*b[2]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/3486784401 + 
  (217953075200*f[a[1]^3*b[2]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/94143178827 - 
  (2470707200*f[a[3]*b[2]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/31381059609 + 
  (778240*f[1]*f[a[2]*b[3]*c[1]]*f[a[1]^3*b[1]*c[2]])/4782969 - 
  (108486656*f[a[1]^2]*f[a[2]*b[3]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   129140163 + (8296505344*f[a[1]^4]*f[a[2]*b[3]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/3486784401 - 
  (167216537600*f[a[1]^6]*f[a[2]*b[3]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   31381059609 - (18989056*f[a[2]^2]*f[a[2]*b[3]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/3486784401 - 
  (89667878912*f[a[1]^2*a[2]^2]*f[a[2]*b[3]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   94143178827 - (69730304*f[a[1]*a[3]]*f[a[2]*b[3]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/1162261467 + 
  (2101870592*f[a[1]^3*a[3]]*f[a[2]*b[3]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   10460353203 + (186621952*f[a[3]^2]*f[a[2]*b[3]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/31381059609 + 
  (637534208*f[a[2]*a[4]]*f[a[2]*b[3]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   10460353203 - (1444413440*f[a[1]*a[5]]*f[a[2]*b[3]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/94143178827 + 
  (10526720*f[b[1]*c[1]]*f[a[2]*b[3]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   129140163 - (1467424768*f[a[1]^2*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/3486784401 + 
  (112221151232*f[a[1]^4*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/94143178827 - 
  (256851968*f[a[2]^2*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/94143178827 - 
  (943194112*f[a[1]*a[3]*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/31381059609 - 
  (36909875200*f[a[1]*a[2]*b[2]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/94143178827 + 
  (1024000*f[a[1]]*f[b[4]*c[1]]*f[a[1]^3*b[1]*c[2]])/43046721 - 
  (120217600*f[a[1]^3]*f[b[4]*c[1]]*f[a[1]^3*b[1]*c[2]])/1162261467 + 
  (5626880000*f[a[1]^5]*f[b[4]*c[1]]*f[a[1]^3*b[1]*c[2]])/31381059609 - 
  (1597849600*f[a[1]*a[2]^2]*f[b[4]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   31381059609 - (1024000*f[a[3]]*f[b[4]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   387420489 + (175513600*f[a[1]^2*a[3]]*f[b[4]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/10460353203 + 
  (66560000*f[a[5]]*f[b[4]*c[1]]*f[a[1]^3*b[1]*c[2]])/31381059609 + 
  (22323200*f[a[1]*b[1]*c[1]]*f[b[4]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   387420489 - (2620743680*f[a[1]^3*b[1]*c[1]]*f[b[4]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/10460353203 - 
  (22323200*f[a[3]*b[1]*c[1]]*f[b[4]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   3486784401 + (2474639360*f[a[2]*b[2]*c[1]]*f[b[4]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/31381059609 + 
  (201850880*f[a[1]*b[3]*c[1]]*f[b[4]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   3486784401 + (1024000*f[1]*f[a[1]*b[4]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   43046721 - (77209600*f[a[1]^2]*f[a[1]*b[4]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/1162261467 - 
  (4471398400*f[a[1]^4]*f[a[1]*b[4]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   31381059609 + (46699520000*f[a[1]^6]*f[a[1]*b[4]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/94143178827 - 
  (707379200*f[a[2]^2]*f[a[1]*b[4]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   10460353203 + (184729600*f[a[1]^2*a[2]^2]*f[a[1]*b[4]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/31381059609 + 
  (104857600*f[a[1]*a[3]]*f[a[1]*b[4]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   10460353203 - (1782579200*f[a[1]^3*a[3]]*f[a[1]*b[4]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/282429536481 - 
  (1130700800*f[a[3]^2]*f[a[1]*b[4]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   282429536481 + (24326963200*f[a[2]*a[4]]*f[a[1]*b[4]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/847288609443 - 
  (6815744000*f[a[1]*a[5]]*f[a[1]*b[4]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   847288609443 + (22323200*f[b[1]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/387420489 - 
  (1683169280*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/10460353203 - 
  (97476485120*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/282429536481 - 
  (15420866560*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/94143178827 + 
  (2285895680*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/94143178827 - 
  (253403070464*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/847288609443 + 
  (201850880*f[b[3]*c[1]]*f[a[1]*b[4]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   3486784401 - (15219556352*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/94143178827 + 
  (8806400*f[a[2]]*f[b[5]*c[1]]*f[a[1]^3*b[1]*c[2]])/129140163 - 
  (315269120*f[a[1]^2*a[2]]*f[b[5]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   1162261467 + (9237913600*f[a[1]^4*a[2]]*f[b[5]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/31381059609 - 
  (12367708160*f[a[2]^3]*f[b[5]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   94143178827 + (394526720*f[a[1]*a[2]*a[3]]*f[b[5]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/10460353203 - 
  (35225600*f[a[4]]*f[b[5]*c[1]]*f[a[1]^3*b[1]*c[2]])/1162261467 + 
  (1261076480*f[a[1]^2*a[4]]*f[b[5]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   10460353203 + (220160000*f[a[6]]*f[b[5]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   10460353203 + (660889600*f[a[2]*b[1]*c[1]]*f[b[5]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/10460353203 - 
  (23659847680*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[5]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/94143178827 - 
  (2643558400*f[a[4]*b[1]*c[1]]*f[b[5]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   94143178827 + (583270400*f[a[1]*b[2]*c[1]]*f[b[5]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/3486784401 - 
  (68475944960*f[a[1]^3*b[2]*c[1]]*f[b[5]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   94143178827 - (583270400*f[a[3]*b[2]*c[1]]*f[b[5]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/31381059609 + 
  (1153433600*f[a[2]*b[3]*c[1]]*f[b[5]*c[1]]*f[a[1]^3*b[1]*c[2]])/
   31381059609 - (5334630400*f[a[1]*b[4]*c[1]]*f[b[5]*c[1]]*
     f[a[1]^3*b[1]*c[2]])/282429536481 - 
  (256000*f[a[1]]*f[b[1]*c[2]]*f[a[1]^3*b[1]*c[2]])/1594323 + 
  (30054400*f[a[1]^3]*f[b[1]*c[2]]*f[a[1]^3*b[1]*c[2]])/43046721 - 
  (1406720000*f[a[1]^5]*f[b[1]*c[2]]*f[a[1]^3*b[1]*c[2]])/1162261467 + 
  (399462400*f[a[1]*a[2]^2]*f[b[1]*c[2]]*f[a[1]^3*b[1]*c[2]])/
   1162261467 + (256000*f[a[3]]*f[b[1]*c[2]]*f[a[1]^3*b[1]*c[2]])/
   14348907 - (43878400*f[a[1]^2*a[3]]*f[b[1]*c[2]]*
     f[a[1]^3*b[1]*c[2]])/387420489 - 
  (16640000*f[a[5]]*f[b[1]*c[2]]*f[a[1]^3*b[1]*c[2]])/1162261467 - 
  (256000*f[a[1]*b[1]*c[1]]*f[b[1]*c[2]]*f[a[1]^3*b[1]*c[2]])/1594323 + 
  (30054400*f[a[1]^3*b[1]*c[1]]*f[b[1]*c[2]]*f[a[1]^3*b[1]*c[2]])/
   43046721 + (256000*f[a[3]*b[1]*c[1]]*f[b[1]*c[2]]*
     f[a[1]^3*b[1]*c[2]])/14348907 - 
  (26214400*f[a[1]*b[3]*c[1]]*f[b[1]*c[2]]*f[a[1]^3*b[1]*c[2]])/
   387420489 - (256000*f[1]*f[a[1]*b[1]*c[2]]*f[a[1]^3*b[1]*c[2]])/
   1594323 + (19302400*f[a[1]^2]*f[a[1]*b[1]*c[2]]*
     f[a[1]^3*b[1]*c[2]])/43046721 + 
  (1117849600*f[a[1]^4]*f[a[1]*b[1]*c[2]]*f[a[1]^3*b[1]*c[2]])/
   1162261467 - (11674880000*f[a[1]^6]*f[a[1]*b[1]*c[2]]*
     f[a[1]^3*b[1]*c[2]])/3486784401 + 
  (176844800*f[a[2]^2]*f[a[1]*b[1]*c[2]]*f[a[1]^3*b[1]*c[2]])/
   387420489 - (46182400*f[a[1]^2*a[2]^2]*f[a[1]*b[1]*c[2]]*
     f[a[1]^3*b[1]*c[2]])/1162261467 - 
  (26214400*f[a[1]*a[3]]*f[a[1]*b[1]*c[2]]*f[a[1]^3*b[1]*c[2]])/
   387420489 + (445644800*f[a[1]^3*a[3]]*f[a[1]*b[1]*c[2]]*
     f[a[1]^3*b[1]*c[2]])/10460353203 + 
  (282675200*f[a[3]^2]*f[a[1]*b[1]*c[2]]*f[a[1]^3*b[1]*c[2]])/
   10460353203 - (6081740800*f[a[2]*a[4]]*f[a[1]*b[1]*c[2]]*
     f[a[1]^3*b[1]*c[2]])/31381059609 + 
  (1703936000*f[a[1]*a[5]]*f[a[1]*b[1]*c[2]]*f[a[1]^3*b[1]*c[2]])/
   31381059609 - (256000*f[b[1]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[a[1]^3*b[1]*c[2]])/1594323 + 
  (19302400*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[1]*c[2]]*f[a[1]^3*b[1]*c[2]])/
   43046721 + (1117849600*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[a[1]^3*b[1]*c[2]])/1162261467 + 
  (176844800*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[a[1]^3*b[1]*c[2]])/387420489 - 
  (26214400*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[a[1]^3*b[1]*c[2]])/387420489 - 
  (26214400*f[b[3]*c[1]]*f[a[1]*b[1]*c[2]]*f[a[1]^3*b[1]*c[2]])/
   387420489 + (1976565760*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[a[1]^3*b[1]*c[2]])/10460353203 + 
  (131072000*f[b[5]*c[1]]*f[a[1]*b[1]*c[2]]*f[a[1]^3*b[1]*c[2]])/
   31381059609 + (19302400*f[a[1]]*f[a[1]^2*b[1]*c[2]]*
     f[a[1]^3*b[1]*c[2]])/43046721 + 
  (1702758400*f[a[1]^3]*f[a[1]^2*b[1]*c[2]]*f[a[1]^3*b[1]*c[2]])/
   1162261467 + (13947136000*f[a[1]^5]*f[a[1]^2*b[1]*c[2]]*
     f[a[1]^3*b[1]*c[2]])/10460353203 - 
  (11916185600*f[a[1]*a[2]^2]*f[a[1]^2*b[1]*c[2]]*f[a[1]^3*b[1]*c[2]])/
   31381059609 - (19302400*f[a[3]]*f[a[1]^2*b[1]*c[2]]*
     f[a[1]^3*b[1]*c[2]])/387420489 - 
  (660428800*f[a[1]^2*a[3]]*f[a[1]^2*b[1]*c[2]]*f[a[1]^3*b[1]*c[2]])/
   10460353203 + (1254656000*f[a[5]]*f[a[1]^2*b[1]*c[2]]*
     f[a[1]^3*b[1]*c[2]])/31381059609 + 
  (19302400*f[a[1]*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]]*f[a[1]^3*b[1]*c[2]])/
   43046721 + (1702758400*f[a[1]^3*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]]*
     f[a[1]^3*b[1]*c[2]])/1162261467 - 
  (19302400*f[a[3]*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]]*f[a[1]^3*b[1]*c[2]])/
   387420489 + (1976565760*f[a[1]*b[3]*c[1]]*f[a[1]^2*b[1]*c[2]]*
     f[a[1]^3*b[1]*c[2]])/10460353203 + 
  (15027200*f[1]*f[a[1]^3*b[1]*c[2]]^2)/43046721 + 
  (851379200*f[a[1]^2]*f[a[1]^3*b[1]*c[2]]^2)/1162261467 + 
  (851379200*f[a[1]^4]*f[a[1]^3*b[1]*c[2]]^2)/387420489 + 
  (31593856000*f[a[1]^6]*f[a[1]^3*b[1]*c[2]]^2)/94143178827 - 
  (8745011200*f[a[2]^2]*f[a[1]^3*b[1]*c[2]]^2)/10460353203 - 
  (5441996800*f[a[1]^2*a[2]^2]*f[a[1]^3*b[1]*c[2]]^2)/10460353203 - 
  (445644800*f[a[1]*a[3]]*f[a[1]^3*b[1]*c[2]]^2)/10460353203 - 
  (10639744000*f[a[3]^2]*f[a[1]^3*b[1]*c[2]]^2)/282429536481 + 
  (298110156800*f[a[2]*a[4]]*f[a[1]^3*b[1]*c[2]]^2)/847288609443 + 
  (28966912000*f[a[1]*a[5]]*f[a[1]^3*b[1]*c[2]]^2)/847288609443 + 
  (15027200*f[b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]^2)/43046721 + 
  (851379200*f[a[1]^2*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]^2)/1162261467 + 
  (851379200*f[a[1]^4*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]^2)/387420489 - 
  (8745011200*f[a[2]^2*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]^2)/10460353203 - 
  (445644800*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]^2)/10460353203 + 
  (1538785280*f[b[3]*c[1]]*f[a[1]^3*b[1]*c[2]]^2)/10460353203 + 
  (87181230080*f[a[1]^2*b[3]*c[1]]*f[a[1]^3*b[1]*c[2]]^2)/282429536481 - 
  (7693926400*f[b[5]*c[1]]*f[a[1]^3*b[1]*c[2]]^2)/847288609443 - 
  (40960*f[a[1]]*f[b[1]*c[1]]*f[a[2]*b[1]*c[2]])/177147 + 
  (204800*f[a[1]^3]*f[b[1]*c[1]]*f[a[2]*b[1]*c[2]])/1594323 - 
  (5120000*f[a[1]^5]*f[b[1]*c[1]]*f[a[2]*b[1]*c[2]])/43046721 - 
  (1064960*f[a[1]*a[2]^2]*f[b[1]*c[1]]*f[a[2]*b[1]*c[2]])/43046721 - 
  (204800*f[a[3]]*f[b[1]*c[1]]*f[a[2]*b[1]*c[2]])/531441 + 
  (450560*f[a[1]^2*a[3]]*f[b[1]*c[1]]*f[a[2]*b[1]*c[2]])/43046721 + 
  (2252800*f[a[5]]*f[b[1]*c[1]]*f[a[2]*b[1]*c[2]])/14348907 + 
  (40960*f[1]*f[a[1]*b[1]*c[1]]*f[a[2]*b[1]*c[2]])/177147 - 
  (1515520*f[a[1]^2]*f[a[1]*b[1]*c[1]]*f[a[2]*b[1]*c[2]])/4782969 + 
  (4710400*f[a[1]^4]*f[a[1]*b[1]*c[1]]*f[a[2]*b[1]*c[2]])/14348907 - 
  (517120000*f[a[1]^6]*f[a[1]*b[1]*c[1]]*f[a[2]*b[1]*c[2]])/
   1162261467 + (22036480*f[a[2]^2]*f[a[1]*b[1]*c[1]]*
     f[a[2]*b[1]*c[2]])/43046721 - 
  (48087040*f[a[1]^2*a[2]^2]*f[a[1]*b[1]*c[1]]*f[a[2]*b[1]*c[2]])/
   387420489 - (2621440*f[a[1]*a[3]]*f[a[1]*b[1]*c[1]]*
     f[a[2]*b[1]*c[2]])/14348907 - 
  (2621440*f[a[1]^3*a[3]]*f[a[1]*b[1]*c[1]]*f[a[2]*b[1]*c[2]])/
   387420489 + (22405120*f[a[3]^2]*f[a[1]*b[1]*c[1]]*
     f[a[2]*b[1]*c[2]])/1162261467 - 
  (167772160*f[a[2]*a[4]]*f[a[1]*b[1]*c[1]]*f[a[2]*b[1]*c[2]])/
   1162261467 + (65536000*f[a[1]*a[5]]*f[a[1]*b[1]*c[1]]*
     f[a[2]*b[1]*c[2]])/1162261467 + 
  (1515520*f[a[1]]*f[a[1]^2*b[1]*c[1]]*f[a[2]*b[1]*c[2]])/4782969 - 
  (28549120*f[a[1]^3]*f[a[1]^2*b[1]*c[1]]*f[a[2]*b[1]*c[2]])/43046721 + 
  (412672000*f[a[1]^5]*f[a[1]^2*b[1]*c[1]]*f[a[2]*b[1]*c[2]])/
   387420489 + (1795932160*f[a[1]*a[2]^2]*f[a[1]^2*b[1]*c[1]]*
     f[a[2]*b[1]*c[2]])/3486784401 + 
  (1761280*f[a[3]]*f[a[1]^2*b[1]*c[1]]*f[a[2]*b[1]*c[2]])/43046721 - 
  (61480960*f[a[1]^2*a[3]]*f[a[1]^2*b[1]*c[1]]*f[a[2]*b[1]*c[2]])/
   387420489 - (16179200*f[a[5]]*f[a[1]^2*b[1]*c[1]]*
     f[a[2]*b[1]*c[2]])/3486784401 - 
  (204800*f[1]*f[a[1]^3*b[1]*c[1]]*f[a[2]*b[1]*c[2]])/1594323 + 
  (28549120*f[a[1]^2]*f[a[1]^3*b[1]*c[1]]*f[a[2]*b[1]*c[2]])/43046721 - 
  (2183290880*f[a[1]^4]*f[a[1]^3*b[1]*c[1]]*f[a[2]*b[1]*c[2]])/
   1162261467 + (44004352000*f[a[1]^6]*f[a[1]^3*b[1]*c[1]]*
     f[a[2]*b[1]*c[2]])/10460353203 + 
  (4997120*f[a[2]^2]*f[a[1]^3*b[1]*c[1]]*f[a[2]*b[1]*c[2]])/
   1162261467 + (23596810240*f[a[1]^2*a[2]^2]*f[a[1]^3*b[1]*c[1]]*
     f[a[2]*b[1]*c[2]])/31381059609 + 
  (18350080*f[a[1]*a[3]]*f[a[1]^3*b[1]*c[1]]*f[a[2]*b[1]*c[2]])/
   387420489 - (553123840*f[a[1]^3*a[3]]*f[a[1]^3*b[1]*c[1]]*
     f[a[2]*b[1]*c[2]])/3486784401 - 
  (49111040*f[a[3]^2]*f[a[1]^3*b[1]*c[1]]*f[a[2]*b[1]*c[2]])/
   10460353203 - (167772160*f[a[2]*a[4]]*f[a[1]^3*b[1]*c[1]]*
     f[a[2]*b[1]*c[2]])/3486784401 + 
  (380108800*f[a[1]*a[5]]*f[a[1]^3*b[1]*c[1]]*f[a[2]*b[1]*c[2]])/
   31381059609 - (4710400*f[a[1]]*f[a[1]^4*b[1]*c[1]]*
     f[a[2]*b[1]*c[2]])/14348907 + 
  (2183290880*f[a[1]^3]*f[a[1]^4*b[1]*c[1]]*f[a[2]*b[1]*c[2]])/
   1162261467 - (211239526400*f[a[1]^5]*f[a[1]^4*b[1]*c[1]]*
     f[a[2]*b[1]*c[2]])/31381059609 + 
  (3595386880*f[a[1]*a[2]^2]*f[a[1]^4*b[1]*c[1]]*f[a[2]*b[1]*c[2]])/
   31381059609 - (2252800*f[a[3]]*f[a[1]^4*b[1]*c[1]]*
     f[a[2]*b[1]*c[2]])/387420489 + 
  (490987520*f[a[1]^2*a[3]]*f[a[1]^4*b[1]*c[1]]*f[a[2]*b[1]*c[2]])/
   10460353203 - (345088000*f[a[5]]*f[a[1]^4*b[1]*c[1]]*
     f[a[2]*b[1]*c[2]])/31381059609 + 
  (335544320*f[a[1]^2*a[2]]*f[a[1]*a[2]*b[1]*c[1]]*f[a[2]*b[1]*c[2]])/
   3486784401 - (3355443200*f[a[1]^4*a[2]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[2]*b[1]*c[2]])/31381059609 - 
  (5368709120*f[a[2]^3]*f[a[1]*a[2]*b[1]*c[1]]*f[a[2]*b[1]*c[2]])/
   3486784401 + (1677721600*f[a[1]*a[2]*a[3]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[2]*b[1]*c[2]])/10460353203 - 
  (335544320*f[a[4]]*f[a[1]*a[2]*b[1]*c[1]]*f[a[2]*b[1]*c[2]])/
   3486784401 - (2348810240*f[a[1]^2*a[4]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[2]*b[1]*c[2]])/94143178827 + 
  (671088640*f[a[6]]*f[a[1]*a[2]*b[1]*c[1]]*f[a[2]*b[1]*c[2]])/
   10460353203 - (335544320*f[a[1]*a[2]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[2]*b[1]*c[2]])/3486784401 + 
  (12415139840*f[a[1]^3*a[2]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[2]*b[1]*c[2]])/31381059609 - 
  (1677721600*f[a[2]*a[3]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[2]*b[1]*c[2]])/
   10460353203 - (6710886400*f[a[1]*a[4]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[2]*b[1]*c[2]])/94143178827 - 
  (22036480*f[a[1]]*f[a[2]^2*b[1]*c[1]]*f[a[2]*b[1]*c[2]])/43046721 - 
  (4997120*f[a[1]^3]*f[a[2]^2*b[1]*c[1]]*f[a[2]*b[1]*c[2]])/
   1162261467 + (8513536000*f[a[1]^5]*f[a[2]^2*b[1]*c[1]]*
     f[a[2]*b[1]*c[2]])/31381059609 + 
  (1598586880*f[a[1]*a[2]^2]*f[a[2]^2*b[1]*c[1]]*f[a[2]*b[1]*c[2]])/
   3486784401 - (110182400*f[a[3]]*f[a[2]^2*b[1]*c[1]]*
     f[a[2]*b[1]*c[2]])/129140163 - 
  (4790763520*f[a[1]^2*a[3]]*f[a[2]^2*b[1]*c[1]]*f[a[2]*b[1]*c[2]])/
   10460353203 + (1212006400*f[a[5]]*f[a[2]^2*b[1]*c[1]]*
     f[a[2]*b[1]*c[2]])/3486784401 + 
  (204800*f[1]*f[a[3]*b[1]*c[1]]*f[a[2]*b[1]*c[2]])/531441 - 
  (1761280*f[a[1]^2]*f[a[3]*b[1]*c[1]]*f[a[2]*b[1]*c[2]])/43046721 + 
  (2252800*f[a[1]^4]*f[a[3]*b[1]*c[1]]*f[a[2]*b[1]*c[2]])/387420489 + 
  (35840000*f[a[1]^6]*f[a[3]*b[1]*c[1]]*f[a[2]*b[1]*c[2]])/3486784401 + 
  (110182400*f[a[2]^2]*f[a[3]*b[1]*c[1]]*f[a[2]*b[1]*c[2]])/129140163 - 
  (1618657280*f[a[1]^2*a[2]^2]*f[a[3]*b[1]*c[1]]*f[a[2]*b[1]*c[2]])/
   10460353203 - (332922880*f[a[1]*a[3]]*f[a[3]*b[1]*c[1]]*
     f[a[2]*b[1]*c[2]])/1162261467 + 
  (1790443520*f[a[1]^3*a[3]]*f[a[3]*b[1]*c[1]]*f[a[2]*b[1]*c[2]])/
   10460353203 - (4396851200*f[a[3]^2]*f[a[3]*b[1]*c[1]]*
     f[a[2]*b[1]*c[2]])/3486784401 + 
  (1845493760*f[a[2]*a[4]]*f[a[3]*b[1]*c[1]]*f[a[2]*b[1]*c[2]])/
   3486784401 - (380108800*f[a[1]*a[5]]*f[a[3]*b[1]*c[1]]*
     f[a[2]*b[1]*c[2]])/10460353203 + 
  (2621440*f[a[1]]*f[a[1]*a[3]*b[1]*c[1]]*f[a[2]*b[1]*c[2]])/14348907 - 
  (18350080*f[a[1]^3]*f[a[1]*a[3]*b[1]*c[1]]*f[a[2]*b[1]*c[2]])/
   387420489 - (65536000*f[a[1]^5]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[2]*b[1]*c[2]])/10460353203 + 
  (1074790400*f[a[1]*a[2]^2]*f[a[1]*a[3]*b[1]*c[1]]*f[a[2]*b[1]*c[2]])/
   3486784401 + (332922880*f[a[3]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[2]*b[1]*c[2]])/1162261467 - 
  (12758548480*f[a[1]^2*a[3]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[2]*b[1]*c[2]])/31381059609 + 
  (91750400*f[a[5]]*f[a[1]*a[3]*b[1]*c[1]]*f[a[2]*b[1]*c[2]])/
   3486784401 + (335544320*f[a[1]*a[2]]*f[a[4]*b[1]*c[1]]*
     f[a[2]*b[1]*c[2]])/3486784401 - 
  (1677721600*f[a[1]^3*a[2]]*f[a[4]*b[1]*c[1]]*f[a[2]*b[1]*c[2]])/
   31381059609 - (6375342080*f[a[2]*a[3]]*f[a[4]*b[1]*c[1]]*
     f[a[2]*b[1]*c[2]])/10460353203 + 
  (14763950080*f[a[1]*a[4]]*f[a[4]*b[1]*c[1]]*f[a[2]*b[1]*c[2]])/
   31381059609 + (458752*f[a[2]]*f[b[2]*c[1]]*f[a[2]*b[1]*c[2]])/
   531441 - (2293760*f[a[1]^2*a[2]]*f[b[2]*c[1]]*f[a[2]*b[1]*c[2]])/
   14348907 + (11468800*f[a[1]^4*a[2]]*f[b[2]*c[1]]*f[a[2]*b[1]*c[2]])/
   129140163 + (11927552*f[a[2]^3]*f[b[2]*c[1]]*f[a[2]*b[1]*c[2]])/
   43046721 + (14680064*f[a[1]*a[2]*a[3]]*f[b[2]*c[1]]*
     f[a[2]*b[1]*c[2]])/129140163 - 
  (1835008*f[a[4]]*f[b[2]*c[1]]*f[a[2]*b[1]*c[2]])/43046721 + 
  (9175040*f[a[1]^2*a[4]]*f[b[2]*c[1]]*f[a[2]*b[1]*c[2]])/1162261467 + 
  (5046272*f[a[6]]*f[b[2]*c[1]]*f[a[2]*b[1]*c[2]])/129140163 - 
  (8978432*f[a[2]*b[1]*c[1]]*f[b[2]*c[1]]*f[a[2]*b[1]*c[2]])/43046721 + 
  (44892160*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[2]*c[1]]*f[a[2]*b[1]*c[2]])/
   1162261467 + (35913728*f[a[4]*b[1]*c[1]]*f[b[2]*c[1]]*
     f[a[2]*b[1]*c[2]])/3486784401 + 
  (14680064*f[a[1]*a[2]]*f[a[1]*b[2]*c[1]]*f[a[2]*b[1]*c[2]])/
   43046721 - (73400320*f[a[1]^3*a[2]]*f[a[1]*b[2]*c[1]]*
     f[a[2]*b[1]*c[2]])/387420489 - 
  (14680064*f[a[2]*a[3]]*f[a[1]*b[2]*c[1]]*f[a[2]*b[1]*c[2]])/
   43046721 + (58720256*f[a[1]*a[4]]*f[a[1]*b[2]*c[1]]*
     f[a[2]*b[1]*c[2]])/1162261467 - 
  (287309824*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*
     f[a[2]*b[1]*c[2]])/3486784401 + 
  (7798784*f[a[2]]*f[a[1]^2*b[2]*c[1]]*f[a[2]*b[1]*c[2]])/43046721 + 
  (195887104*f[a[1]^2*a[2]]*f[a[1]^2*b[2]*c[1]]*f[a[2]*b[1]*c[2]])/
   1162261467 - (717946880*f[a[1]^4*a[2]]*f[a[1]^2*b[2]*c[1]]*
     f[a[2]*b[1]*c[2]])/3486784401 + 
  (1320288256*f[a[2]^3]*f[a[1]^2*b[2]*c[1]]*f[a[2]*b[1]*c[2]])/
   1162261467 - (1247805440*f[a[1]*a[2]*a[3]]*f[a[1]^2*b[2]*c[1]]*
     f[a[2]*b[1]*c[2]])/3486784401 - 
  (166985728*f[a[4]]*f[a[1]^2*b[2]*c[1]]*f[a[2]*b[1]*c[2]])/
   1162261467 + (614727680*f[a[1]^2*a[4]]*f[a[1]^2*b[2]*c[1]]*
     f[a[2]*b[1]*c[2]])/3486784401 + 
  (341770240*f[a[6]]*f[a[1]^2*b[2]*c[1]]*f[a[2]*b[1]*c[2]])/
   3486784401 - (152633344*f[a[2]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*
     f[a[2]*b[1]*c[2]])/3486784401 - 
  (3833790464*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*
     f[a[2]*b[1]*c[2]])/94143178827 + 
  (3268149248*f[a[4]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*f[a[2]*b[1]*c[2]])/
   94143178827 + (161480704*f[a[1]*a[2]]*f[a[1]^3*b[2]*c[1]]*
     f[a[2]*b[1]*c[2]])/387420489 - 
  (807403520*f[a[1]^3*a[2]]*f[a[1]^3*b[2]*c[1]]*f[a[2]*b[1]*c[2]])/
   3486784401 + (425721856*f[a[2]*a[3]]*f[a[1]^3*b[2]*c[1]]*
     f[a[2]*b[1]*c[2]])/3486784401 - 
  (3112173568*f[a[1]*a[4]]*f[a[1]^3*b[2]*c[1]]*f[a[2]*b[1]*c[2]])/
   10460353203 - (3160408064*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[2]*b[1]*c[2]])/31381059609 + 
  (458752*f[1]*f[a[2]*b[2]*c[1]]*f[a[2]*b[1]*c[2]])/531441 + 
  (7798784*f[a[1]^2]*f[a[2]*b[2]*c[1]]*f[a[2]*b[1]*c[2]])/43046721 - 
  (112394240*f[a[1]^4]*f[a[2]*b[2]*c[1]]*f[a[2]*b[1]*c[2]])/387420489 + 
  (57344000*f[a[1]^6]*f[a[2]*b[2]*c[1]]*f[a[2]*b[1]*c[2]])/129140163 - 
  (917504*f[a[2]^2]*f[a[2]*b[2]*c[1]]*f[a[2]*b[1]*c[2]])/531441 + 
  (3725983744*f[a[1]^2*a[2]^2]*f[a[2]*b[2]*c[1]]*f[a[2]*b[1]*c[2]])/
   10460353203 + (29360128*f[a[1]*a[3]]*f[a[2]*b[2]*c[1]]*
     f[a[2]*b[1]*c[2]])/43046721 - 
  (851443712*f[a[1]^3*a[3]]*f[a[2]*b[2]*c[1]]*f[a[2]*b[1]*c[2]])/
   3486784401 + (2893348864*f[a[3]^2]*f[a[2]*b[2]*c[1]]*
     f[a[2]*b[1]*c[2]])/3486784401 - 
  (3376414720*f[a[1]*a[5]]*f[a[2]*b[2]*c[1]]*f[a[2]*b[1]*c[2]])/
   10460353203 - (8978432*f[b[1]*c[1]]*f[a[2]*b[2]*c[1]]*
     f[a[2]*b[1]*c[2]])/43046721 - 
  (152633344*f[a[1]^2*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*f[a[2]*b[1]*c[2]])/
   3486784401 + (2199715840*f[a[1]^4*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*
     f[a[2]*b[1]*c[2]])/31381059609 + 
  (17956864*f[a[2]^2*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*f[a[2]*b[1]*c[2]])/
   43046721 - (574619648*f[a[1]*a[3]*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*
     f[a[2]*b[1]*c[2]])/3486784401 + 
  (14680064*f[a[1]]*f[a[1]*a[2]*b[2]*c[1]]*f[a[2]*b[1]*c[2]])/
   43046721 + (161480704*f[a[1]^3]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[2]*b[1]*c[2]])/387420489 - 
  (367001600*f[a[1]^5]*f[a[1]*a[2]*b[2]*c[1]]*f[a[2]*b[1]*c[2]])/
   387420489 - (10892607488*f[a[1]*a[2]^2]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[2]*b[1]*c[2]])/10460353203 - 
  (14680064*f[a[3]]*f[a[1]*a[2]*b[2]*c[1]]*f[a[2]*b[1]*c[2]])/
   43046721 + (2803892224*f[a[1]^2*a[3]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[2]*b[1]*c[2]])/3486784401 + 
  (1688207360*f[a[5]]*f[a[1]*a[2]*b[2]*c[1]]*f[a[2]*b[1]*c[2]])/
   10460353203 - (287309824*f[a[1]*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[2]*b[1]*c[2]])/3486784401 - 
  (3160408064*f[a[1]^3*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[2]*b[1]*c[2]])/31381059609 + 
  (287309824*f[a[3]*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[2]*b[1]*c[2]])/3486784401 - 
  (14680064*f[a[1]*a[2]]*f[a[3]*b[2]*c[1]]*f[a[2]*b[1]*c[2]])/
   43046721 + (73400320*f[a[1]^3*a[2]]*f[a[3]*b[2]*c[1]]*
     f[a[2]*b[1]*c[2]])/387420489 + 
  (3068133376*f[a[2]*a[3]]*f[a[3]*b[2]*c[1]]*f[a[2]*b[1]*c[2]])/
   3486784401 - (4286578688*f[a[1]*a[4]]*f[a[3]*b[2]*c[1]]*
     f[a[2]*b[1]*c[2]])/10460353203 + 
  (287309824*f[a[1]*a[2]*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[a[2]*b[1]*c[2]])/3486784401 - 
  (155648*f[a[1]]*f[b[3]*c[1]]*f[a[2]*b[1]*c[2]])/531441 + 
  (778240*f[a[1]^3]*f[b[3]*c[1]]*f[a[2]*b[1]*c[2]])/4782969 - 
  (19456000*f[a[1]^5]*f[b[3]*c[1]]*f[a[2]*b[1]*c[2]])/129140163 - 
  (4046848*f[a[1]*a[2]^2]*f[b[3]*c[1]]*f[a[2]*b[1]*c[2]])/129140163 - 
  (778240*f[a[3]]*f[b[3]*c[1]]*f[a[2]*b[1]*c[2]])/1594323 + 
  (1712128*f[a[1]^2*a[3]]*f[b[3]*c[1]]*f[a[2]*b[1]*c[2]])/129140163 + 
  (8560640*f[a[5]]*f[b[3]*c[1]]*f[a[2]*b[1]*c[2]])/43046721 - 
  (2105344*f[a[1]*b[1]*c[1]]*f[b[3]*c[1]]*f[a[2]*b[1]*c[2]])/14348907 + 
  (10526720*f[a[1]^3*b[1]*c[1]]*f[b[3]*c[1]]*f[a[2]*b[1]*c[2]])/
   129140163 - (10526720*f[a[3]*b[1]*c[1]]*f[b[3]*c[1]]*
     f[a[2]*b[1]*c[2]])/43046721 - 
  (104857600*f[a[2]*b[2]*c[1]]*f[b[3]*c[1]]*f[a[2]*b[1]*c[2]])/
   129140163 + (155648*f[1]*f[a[1]*b[3]*c[1]]*f[a[2]*b[1]*c[2]])/
   531441 - (5758976*f[a[1]^2]*f[a[1]*b[3]*c[1]]*f[a[2]*b[1]*c[2]])/
   14348907 + (17899520*f[a[1]^4]*f[a[1]*b[3]*c[1]]*f[a[2]*b[1]*c[2]])/
   43046721 - (1965056000*f[a[1]^6]*f[a[1]*b[3]*c[1]]*
     f[a[2]*b[1]*c[2]])/3486784401 + 
  (83738624*f[a[2]^2]*f[a[1]*b[3]*c[1]]*f[a[2]*b[1]*c[2]])/129140163 - 
  (182730752*f[a[1]^2*a[2]^2]*f[a[1]*b[3]*c[1]]*f[a[2]*b[1]*c[2]])/
   1162261467 - (9961472*f[a[1]*a[3]]*f[a[1]*b[3]*c[1]]*
     f[a[2]*b[1]*c[2]])/43046721 - 
  (9961472*f[a[1]^3*a[3]]*f[a[1]*b[3]*c[1]]*f[a[2]*b[1]*c[2]])/
   1162261467 + (85139456*f[a[3]^2]*f[a[1]*b[3]*c[1]]*
     f[a[2]*b[1]*c[2]])/3486784401 - 
  (637534208*f[a[2]*a[4]]*f[a[1]*b[3]*c[1]]*f[a[2]*b[1]*c[2]])/
   3486784401 + (249036800*f[a[1]*a[5]]*f[a[1]*b[3]*c[1]]*
     f[a[2]*b[1]*c[2]])/3486784401 + 
  (2105344*f[b[1]*c[1]]*f[a[1]*b[3]*c[1]]*f[a[2]*b[1]*c[2]])/14348907 - 
  (77897728*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[3]*c[1]]*f[a[2]*b[1]*c[2]])/
   387420489 + (242114560*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[3]*c[1]]*
     f[a[2]*b[1]*c[2]])/1162261467 + 
  (1132675072*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[3]*c[1]]*f[a[2]*b[1]*c[2]])/
   3486784401 - (134742016*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*b[3]*c[1]]*
     f[a[2]*b[1]*c[2]])/1162261467 - 
  (3355443200*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]*b[3]*c[1]]*
     f[a[2]*b[1]*c[2]])/10460353203 + 
  (5758976*f[a[1]]*f[a[1]^2*b[3]*c[1]]*f[a[2]*b[1]*c[2]])/14348907 - 
  (108486656*f[a[1]^3]*f[a[1]^2*b[3]*c[1]]*f[a[2]*b[1]*c[2]])/
   129140163 + (1568153600*f[a[1]^5]*f[a[1]^2*b[3]*c[1]]*
     f[a[2]*b[1]*c[2]])/1162261467 + 
  (6824542208*f[a[1]*a[2]^2]*f[a[1]^2*b[3]*c[1]]*f[a[2]*b[1]*c[2]])/
   10460353203 + (6692864*f[a[3]]*f[a[1]^2*b[3]*c[1]]*
     f[a[2]*b[1]*c[2]])/129140163 - 
  (233627648*f[a[1]^2*a[3]]*f[a[1]^2*b[3]*c[1]]*f[a[2]*b[1]*c[2]])/
   1162261467 - (61480960*f[a[5]]*f[a[1]^2*b[3]*c[1]]*
     f[a[2]*b[1]*c[2]])/10460353203 + 
  (77897728*f[a[1]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*f[a[2]*b[1]*c[2]])/
   387420489 - (1467424768*f[a[1]^3*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[a[2]*b[1]*c[2]])/3486784401 + 
  (90529792*f[a[3]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*f[a[2]*b[1]*c[2]])/
   3486784401 - (1782579200*f[a[2]*b[2]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[a[2]*b[1]*c[2]])/10460353203 - 
  (104857600*f[b[2]*c[1]]*f[a[2]*b[3]*c[1]]*f[a[2]*b[1]*c[2]])/
   129140163 - (1782579200*f[a[1]^2*b[2]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[a[2]*b[1]*c[2]])/10460353203 + 
  (3276800*f[a[2]]*f[b[4]*c[1]]*f[a[2]*b[1]*c[2]])/43046721 - 
  (16384000*f[a[1]^2*a[2]]*f[b[4]*c[1]]*f[a[2]*b[1]*c[2]])/1162261467 + 
  (81920000*f[a[1]^4*a[2]]*f[b[4]*c[1]]*f[a[2]*b[1]*c[2]])/
   10460353203 + (85196800*f[a[2]^3]*f[b[4]*c[1]]*f[a[2]*b[1]*c[2]])/
   3486784401 + (104857600*f[a[1]*a[2]*a[3]]*f[b[4]*c[1]]*
     f[a[2]*b[1]*c[2]])/10460353203 - 
  (13107200*f[a[4]]*f[b[4]*c[1]]*f[a[2]*b[1]*c[2]])/3486784401 + 
  (65536000*f[a[1]^2*a[4]]*f[b[4]*c[1]]*f[a[2]*b[1]*c[2]])/
   94143178827 + (36044800*f[a[6]]*f[b[4]*c[1]]*f[a[2]*b[1]*c[2]])/
   10460353203 + (71434240*f[a[2]*b[1]*c[1]]*f[b[4]*c[1]]*
     f[a[2]*b[1]*c[2]])/387420489 - 
  (357171200*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[4]*c[1]]*f[a[2]*b[1]*c[2]])/
   10460353203 - (285736960*f[a[4]*b[1]*c[1]]*f[b[4]*c[1]]*
     f[a[2]*b[1]*c[2]])/31381059609 + 
  (494927872*f[a[1]*b[2]*c[1]]*f[b[4]*c[1]]*f[a[2]*b[1]*c[2]])/
   3486784401 - (2474639360*f[a[1]^3*b[2]*c[1]]*f[b[4]*c[1]]*
     f[a[2]*b[1]*c[2]])/31381059609 + 
  (2474639360*f[a[3]*b[2]*c[1]]*f[b[4]*c[1]]*f[a[2]*b[1]*c[2]])/
   10460353203 + (645922816*f[a[2]*b[3]*c[1]]*f[b[4]*c[1]]*
     f[a[2]*b[1]*c[2]])/3486784401 + 
  (104857600*f[a[1]*a[2]]*f[a[1]*b[4]*c[1]]*f[a[2]*b[1]*c[2]])/
   3486784401 - (524288000*f[a[1]^3*a[2]]*f[a[1]*b[4]*c[1]]*
     f[a[2]*b[1]*c[2]])/31381059609 - 
  (104857600*f[a[2]*a[3]]*f[a[1]*b[4]*c[1]]*f[a[2]*b[1]*c[2]])/
   3486784401 + (419430400*f[a[1]*a[4]]*f[a[1]*b[4]*c[1]]*
     f[a[2]*b[1]*c[2]])/94143178827 + 
  (2285895680*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[a[2]*b[1]*c[2]])/31381059609 - 
  (494927872*f[b[2]*c[1]]*f[a[1]*b[4]*c[1]]*f[a[2]*b[1]*c[2]])/
   3486784401 + (18312331264*f[a[1]^2*b[2]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[a[2]*b[1]*c[2]])/94143178827 + 
  (1761280*f[a[1]]*f[b[5]*c[1]]*f[a[2]*b[1]*c[2]])/14348907 - 
  (8806400*f[a[1]^3]*f[b[5]*c[1]]*f[a[2]*b[1]*c[2]])/129140163 + 
  (220160000*f[a[1]^5]*f[b[5]*c[1]]*f[a[2]*b[1]*c[2]])/3486784401 + 
  (45793280*f[a[1]*a[2]^2]*f[b[5]*c[1]]*f[a[2]*b[1]*c[2]])/3486784401 + 
  (8806400*f[a[3]]*f[b[5]*c[1]]*f[a[2]*b[1]*c[2]])/43046721 - 
  (19374080*f[a[1]^2*a[3]]*f[b[5]*c[1]]*f[a[2]*b[1]*c[2]])/3486784401 - 
  (96870400*f[a[5]]*f[b[5]*c[1]]*f[a[2]*b[1]*c[2]])/1162261467 + 
  (132177920*f[a[1]*b[1]*c[1]]*f[b[5]*c[1]]*f[a[2]*b[1]*c[2]])/
   1162261467 - (660889600*f[a[1]^3*b[1]*c[1]]*f[b[5]*c[1]]*
     f[a[2]*b[1]*c[2]])/10460353203 + 
  (660889600*f[a[3]*b[1]*c[1]]*f[b[5]*c[1]]*f[a[2]*b[1]*c[2]])/
   3486784401 + (1866465280*f[a[2]*b[2]*c[1]]*f[b[5]*c[1]]*
     f[a[2]*b[1]*c[2]])/3486784401 + 
  (230686720*f[a[1]*b[3]*c[1]]*f[b[5]*c[1]]*f[a[2]*b[1]*c[2]])/
   3486784401 - (819200*f[a[2]]*f[b[1]*c[2]]*f[a[2]*b[1]*c[2]])/
   1594323 + (4096000*f[a[1]^2*a[2]]*f[b[1]*c[2]]*f[a[2]*b[1]*c[2]])/
   43046721 - (20480000*f[a[1]^4*a[2]]*f[b[1]*c[2]]*f[a[2]*b[1]*c[2]])/
   387420489 - (21299200*f[a[2]^3]*f[b[1]*c[2]]*f[a[2]*b[1]*c[2]])/
   129140163 - (26214400*f[a[1]*a[2]*a[3]]*f[b[1]*c[2]]*
     f[a[2]*b[1]*c[2]])/387420489 + 
  (3276800*f[a[4]]*f[b[1]*c[2]]*f[a[2]*b[1]*c[2]])/129140163 - 
  (16384000*f[a[1]^2*a[4]]*f[b[1]*c[2]]*f[a[2]*b[1]*c[2]])/3486784401 - 
  (9011200*f[a[6]]*f[b[1]*c[2]]*f[a[2]*b[1]*c[2]])/387420489 - 
  (819200*f[a[2]*b[1]*c[1]]*f[b[1]*c[2]]*f[a[2]*b[1]*c[2]])/1594323 + 
  (4096000*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[1]*c[2]]*f[a[2]*b[1]*c[2]])/
   43046721 + (3276800*f[a[4]*b[1]*c[1]]*f[b[1]*c[2]]*
     f[a[2]*b[1]*c[2]])/129140163 - 
  (83886080*f[a[2]*b[3]*c[1]]*f[b[1]*c[2]]*f[a[2]*b[1]*c[2]])/
   387420489 - (26214400*f[a[1]*a[2]]*f[a[1]*b[1]*c[2]]*
     f[a[2]*b[1]*c[2]])/129140163 + 
  (131072000*f[a[1]^3*a[2]]*f[a[1]*b[1]*c[2]]*f[a[2]*b[1]*c[2]])/
   1162261467 + (26214400*f[a[2]*a[3]]*f[a[1]*b[1]*c[2]]*
     f[a[2]*b[1]*c[2]])/129140163 - 
  (104857600*f[a[1]*a[4]]*f[a[1]*b[1]*c[2]]*f[a[2]*b[1]*c[2]])/
   3486784401 - (26214400*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[a[2]*b[1]*c[2]])/129140163 - 
  (13926400*f[a[2]]*f[a[1]^2*b[1]*c[2]]*f[a[2]*b[1]*c[2]])/129140163 - 
  (349798400*f[a[1]^2*a[2]]*f[a[1]^2*b[1]*c[2]]*f[a[2]*b[1]*c[2]])/
   3486784401 + (1282048000*f[a[1]^4*a[2]]*f[a[1]^2*b[1]*c[2]]*
     f[a[2]*b[1]*c[2]])/10460353203 - 
  (2357657600*f[a[2]^3]*f[a[1]^2*b[1]*c[2]]*f[a[2]*b[1]*c[2]])/
   3486784401 + (2228224000*f[a[1]*a[2]*a[3]]*f[a[1]^2*b[1]*c[2]]*
     f[a[2]*b[1]*c[2]])/10460353203 + 
  (298188800*f[a[4]]*f[a[1]^2*b[1]*c[2]]*f[a[2]*b[1]*c[2]])/
   3486784401 - (1097728000*f[a[1]^2*a[4]]*f[a[1]^2*b[1]*c[2]]*
     f[a[2]*b[1]*c[2]])/10460353203 - 
  (610304000*f[a[6]]*f[a[1]^2*b[1]*c[2]]*f[a[2]*b[1]*c[2]])/
   10460353203 - (13926400*f[a[2]*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]]*
     f[a[2]*b[1]*c[2]])/129140163 - 
  (349798400*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]]*
     f[a[2]*b[1]*c[2]])/3486784401 + 
  (298188800*f[a[4]*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]]*f[a[2]*b[1]*c[2]])/
   3486784401 - (1426063360*f[a[2]*b[3]*c[1]]*f[a[1]^2*b[1]*c[2]]*
     f[a[2]*b[1]*c[2]])/31381059609 - 
  (288358400*f[a[1]*a[2]]*f[a[1]^3*b[1]*c[2]]*f[a[2]*b[1]*c[2]])/
   1162261467 + (1441792000*f[a[1]^3*a[2]]*f[a[1]^3*b[1]*c[2]]*
     f[a[2]*b[1]*c[2]])/10460353203 - 
  (760217600*f[a[2]*a[3]]*f[a[1]^3*b[1]*c[2]]*f[a[2]*b[1]*c[2]])/
   10460353203 + (5557452800*f[a[1]*a[4]]*f[a[1]^3*b[1]*c[2]]*
     f[a[2]*b[1]*c[2]])/31381059609 - 
  (288358400*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[a[2]*b[1]*c[2]])/1162261467 - 
  (409600*f[1]*f[a[2]*b[1]*c[2]]^2)/1594323 - 
  (6963200*f[a[1]^2]*f[a[2]*b[1]*c[2]]^2)/129140163 + 
  (100352000*f[a[1]^4]*f[a[2]*b[1]*c[2]]^2)/1162261467 - 
  (51200000*f[a[1]^6]*f[a[2]*b[1]*c[2]]^2)/387420489 + 
  (819200*f[a[2]^2]*f[a[2]*b[1]*c[2]]^2)/1594323 - 
  (3326771200*f[a[1]^2*a[2]^2]*f[a[2]*b[1]*c[2]]^2)/31381059609 - 
  (26214400*f[a[1]*a[3]]*f[a[2]*b[1]*c[2]]^2)/129140163 + 
  (760217600*f[a[1]^3*a[3]]*f[a[2]*b[1]*c[2]]^2)/10460353203 - 
  (2583347200*f[a[3]^2]*f[a[2]*b[1]*c[2]]^2)/10460353203 + 
  (3014656000*f[a[1]*a[5]]*f[a[2]*b[1]*c[2]]^2)/31381059609 - 
  (409600*f[b[1]*c[1]]*f[a[2]*b[1]*c[2]]^2)/1594323 - 
  (6963200*f[a[1]^2*b[1]*c[1]]*f[a[2]*b[1]*c[2]]^2)/129140163 + 
  (100352000*f[a[1]^4*b[1]*c[1]]*f[a[2]*b[1]*c[2]]^2)/1162261467 + 
  (819200*f[a[2]^2*b[1]*c[1]]*f[a[2]*b[1]*c[2]]^2)/1594323 - 
  (26214400*f[a[1]*a[3]*b[1]*c[1]]*f[a[2]*b[1]*c[2]]^2)/129140163 - 
  (41943040*f[b[3]*c[1]]*f[a[2]*b[1]*c[2]]^2)/387420489 - 
  (713031680*f[a[1]^2*b[3]*c[1]]*f[a[2]*b[1]*c[2]]^2)/31381059609 + 
  (209715200*f[b[5]*c[1]]*f[a[2]*b[1]*c[2]]^2)/31381059609 - 
  (1310720*f[a[1]^2]*f[b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/4782969 + 
  (13107200*f[a[1]^4]*f[b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/43046721 - 
  (163840000*f[a[1]^6]*f[b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/387420489 - 
  (20971520*f[a[2]^2]*f[b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/43046721 + 
  (2621440*f[a[1]^2*a[2]^2]*f[b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   43046721 - (9175040*f[a[1]*a[3]]*f[b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/43046721 + 
  (1310720*f[a[1]^3*a[3]]*f[b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   129140163 + (6553600*f[a[3]^2]*f[b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   129140163 + (419430400*f[a[2]*a[4]]*f[b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/3486784401 + 
  (281804800*f[a[1]*a[5]]*f[b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   3486784401 - (20971520*f[a[1]^3]*f[a[1]*b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/43046721 + 
  (1048576000*f[a[1]^5]*f[a[1]*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   1162261467 + (335544320*f[a[1]*a[2]^2]*f[a[1]*b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/3486784401 - 
  (10485760*f[a[3]]*f[a[1]*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   43046721 - (73400320*f[a[1]^2*a[3]]*f[a[1]*b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/387420489 + 
  (367001600*f[a[5]]*f[a[1]*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   3486784401 + (1310720*f[1]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/4782969 - 
  (1374945280*f[a[1]^4]*f[a[1]^2*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   1162261467 + (102301696000*f[a[1]^6]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/31381059609 + 
  (1758986240*f[a[2]^2]*f[a[1]^2*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   3486784401 + (11555307520*f[a[1]^2*a[2]^2]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/31381059609 - 
  (9175040*f[a[1]*a[3]]*f[a[1]^2*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   43046721 - (2578186240*f[a[1]^3*a[3]]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/10460353203 + 
  (547880960*f[a[3]^2]*f[a[1]^2*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   31381059609 - (10150215680*f[a[2]*a[4]]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/94143178827 + 
  (281804800*f[a[1]*a[5]]*f[a[1]^2*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   3486784401 + (20971520*f[a[1]]*f[a[1]^3*b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/43046721 - 
  (115238502400*f[a[1]^5]*f[a[1]^3*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   31381059609 + (21432893440*f[a[1]*a[2]^2]*f[a[1]^3*b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/31381059609 + 
  (10485760*f[a[3]]*f[a[1]^3*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   129140163 - (2820669440*f[a[1]^2*a[3]]*f[a[1]^3*b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/10460353203 - 
  (52428800*f[a[5]]*f[a[1]^3*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   3486784401 - (13107200*f[1]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/43046721 + 
  (1374945280*f[a[1]^2]*f[a[1]^4*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   1162261467 - (438154035200*f[a[1]^6]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/31381059609 + 
  (1819279360*f[a[2]^2]*f[a[1]^4*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   10460353203 + (1019737538560*f[a[1]^2*a[2]^2]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/847288609443 + 
  (454819840*f[a[1]*a[3]]*f[a[1]^4*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   3486784401 - (117565030400*f[a[1]^3*a[3]]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/282429536481 - 
  (2926837760*f[a[3]^2]*f[a[1]^4*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   282429536481 - (166681640960*f[a[2]*a[4]]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/847288609443 + 
  (1369702400*f[a[1]*a[5]]*f[a[1]^4*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   282429536481 - (335544320*f[a[1]^2*a[2]]*f[a[2]*b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/3486784401 + 
  (3355443200*f[a[1]^4*a[2]]*f[a[2]*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   31381059609 + (5368709120*f[a[2]^3]*f[a[2]*b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/3486784401 - 
  (1677721600*f[a[1]*a[2]*a[3]]*f[a[2]*b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/10460353203 + 
  (335544320*f[a[4]]*f[a[2]*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   3486784401 + (2348810240*f[a[1]^2*a[4]]*f[a[2]*b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/94143178827 - 
  (671088640*f[a[6]]*f[a[2]*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   10460353203 + (335544320*f[a[2]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/3486784401 + 
  (12415139840*f[a[1]^4*a[2]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/31381059609 - 
  (415403868160*f[a[2]^3]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/282429536481 + 
  (40600862720*f[a[1]*a[2]*a[3]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/282429536481 - 
  (16441671680*f[a[4]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/94143178827 - 
  (36574330880*f[a[1]^2*a[4]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/847288609443 + 
  (3690987520*f[a[6]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   31381059609 + (20971520*f[1]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/43046721 - 
  (1758986240*f[a[1]^2]*f[a[2]^2*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   3486784401 - (1819279360*f[a[1]^4]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/10460353203 + 
  (343212032000*f[a[1]^6]*f[a[2]^2*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   282429536481 + (216546672640*f[a[1]^2*a[2]^2]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/282429536481 - 
  (909639680*f[a[1]*a[3]]*f[a[2]^2*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   10460353203 - (268799836160*f[a[1]^3*a[3]]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/282429536481 + 
  (163999907840*f[a[3]^2]*f[a[2]^2*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   282429536481 - (838860800*f[a[2]*a[4]]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/3486784401 - 
  (2739404800*f[a[1]*a[5]]*f[a[2]^2*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   847288609443 + (10485760*f[a[1]]*f[a[3]*b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/43046721 - 
  (10485760*f[a[1]^3]*f[a[3]*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   129140163 + (262144000*f[a[1]^5]*f[a[3]*b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/10460353203 + 
  (7319060480*f[a[1]*a[2]^2]*f[a[3]*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   10460353203 - (10590617600*f[a[1]^2*a[3]]*f[a[3]*b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/31381059609 + 
  (104857600*f[a[5]]*f[a[3]*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   10460353203 + (9175040*f[1]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/43046721 + 
  (9175040*f[a[1]^2]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   43046721 - (454819840*f[a[1]^4]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/3486784401 + 
  (3702784000*f[a[1]^6]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   282429536481 + (909639680*f[a[2]^2]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/10460353203 + 
  (481702707200*f[a[1]^2*a[2]^2]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/847288609443 - 
  (174483046400*f[a[1]^3*a[3]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/282429536481 - 
  (74020290560*f[a[3]^2]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/94143178827 + 
  (279172874240*f[a[2]*a[4]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/847288609443 - 
  (335544320*f[a[2]]*f[a[4]*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   3486784401 + (16441671680*f[a[1]^2*a[2]]*f[a[4]*b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/94143178827 - 
  (52009369600*f[a[1]^4*a[2]]*f[a[4]*b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/282429536481 - 
  (3355443200*f[a[2]^3]*f[a[4]*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   31381059609 - (130191196160*f[a[1]*a[2]*a[3]]*f[a[4]*b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/282429536481 + 
  (456340275200*f[a[1]^2*a[4]]*f[a[4]*b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/847288609443 - 
  (335544320*f[a[6]]*f[a[4]*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   282429536481 + (29360128*f[a[1]*a[2]]*f[b[2]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/43046721 - 
  (146800640*f[a[1]^3*a[2]]*f[b[2]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   387420489 + (29360128*f[a[2]*a[3]]*f[b[2]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/129140163 - 
  (117440512*f[a[1]*a[4]]*f[b[2]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   1162261467 - (574619648*f[a[1]*a[2]*b[1]*c[1]]*f[b[2]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/3486784401 + 
  (14680064*f[a[2]]*f[a[1]*b[2]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   43046721 + (631242752*f[a[1]^2*a[2]]*f[a[1]*b[2]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/1162261467 - 
  (6679429120*f[a[1]^4*a[2]]*f[a[1]*b[2]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   10460353203 - (3376414720*f[a[2]^3]*f[a[1]*b[2]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/3486784401 - 
  (234881024*f[a[1]*a[2]*a[3]]*f[a[1]*b[2]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/10460353203 + 
  (58720256*f[a[4]]*f[a[1]*b[2]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   1162261467 - (411041792*f[a[1]^2*a[4]]*f[a[1]*b[2]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/10460353203 - 
  (102760448*f[a[6]]*f[a[1]*b[2]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   3486784401 - (287309824*f[a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/3486784401 - 
  (12354322432*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/94143178827 - 
  (1149239296*f[a[4]*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/94143178827 + 
  (322961408*f[a[1]*a[2]]*f[a[1]^2*b[2]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   1162261467 + (1967128576*f[a[1]^3*a[2]]*f[a[1]^2*b[2]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/3486784401 - 
  (1556086784*f[a[2]*a[3]]*f[a[1]^2*b[2]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   3486784401 + (822083584*f[a[1]*a[4]]*f[a[1]^2*b[2]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/10460353203 - 
  (6320816128*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/94143178827 + 
  (161480704*f[a[2]]*f[a[1]^3*b[2]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   387420489 + (3185573888*f[a[1]^2*a[2]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/10460353203 + 
  (132839899136*f[a[1]^4*a[2]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/282429536481 + 
  (189226024960*f[a[2]^3]*f[a[1]^3*b[2]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   94143178827 - (58955137024*f[a[1]*a[2]*a[3]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/94143178827 - 
  (3112173568*f[a[4]]*f[a[1]^3*b[2]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   10460353203 + (50323259392*f[a[1]^2*a[4]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/282429536481 + 
  (2128609280*f[a[6]]*f[a[1]^3*b[2]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   10460353203 - (3160408064*f[a[2]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/31381059609 - 
  (62346231808*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/847288609443 + 
  (60909682688*f[a[4]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/847288609443 + 
  (14680064*f[a[1]]*f[a[2]*b[2]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   43046721 + (161480704*f[a[1]^3]*f[a[2]*b[2]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/387420489 - 
  (367001600*f[a[1]^5]*f[a[2]*b[2]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   387420489 - (10892607488*f[a[1]*a[2]^2]*f[a[2]*b[2]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/10460353203 - 
  (14680064*f[a[3]]*f[a[2]*b[2]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   43046721 + (2803892224*f[a[1]^2*a[3]]*f[a[2]*b[2]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/3486784401 + 
  (1688207360*f[a[5]]*f[a[2]*b[2]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   10460353203 - (287309824*f[a[1]*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/3486784401 - 
  (3160408064*f[a[1]^3*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/31381059609 + 
  (287309824*f[a[3]*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/3486784401 + 
  (29360128*f[1]*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   43046721 + (322961408*f[a[1]^2]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/1162261467 + 
  (11068768256*f[a[1]^4]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/10460353203 - 
  (969618227200*f[a[1]^6]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/282429536481 - 
  (6752829440*f[a[2]^2]*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   10460353203 - (1064656961536*f[a[1]^2*a[2]^2]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/847288609443 + 
  (469762048*f[a[1]*a[3]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/10460353203 + 
  (117910274048*f[a[1]^3*a[3]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/94143178827 + 
  (155579318272*f[a[3]^2]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/282429536481 - 
  (30064771072*f[a[2]*a[4]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/847288609443 - 
  (30534533120*f[a[1]*a[5]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/847288609443 - 
  (574619648*f[b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/3486784401 - 
  (6320816128*f[a[1]^2*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/94143178827 - 
  (216631607296*f[a[1]^4*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/847288609443 + 
  (132162519040*f[a[2]^2*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/847288609443 - 
  (9193914368*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/847288609443 - 
  (14680064*f[a[2]]*f[a[3]*b[2]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   43046721 - (3802136576*f[a[1]^2*a[2]]*f[a[3]*b[2]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/10460353203 + 
  (41324380160*f[a[1]^4*a[2]]*f[a[3]*b[2]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/94143178827 - 
  (19935526912*f[a[2]^3]*f[a[3]*b[2]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   10460353203 + (211158040576*f[a[1]*a[2]*a[3]]*f[a[3]*b[2]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/282429536481 + 
  (1350565888*f[a[4]]*f[a[3]*b[2]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   10460353203 - (5226102784*f[a[1]^2*a[4]]*f[a[3]*b[2]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/10460353203 - 
  (2833252352*f[a[6]]*f[a[3]*b[2]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   31381059609 + (287309824*f[a[2]*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/3486784401 + 
  (74413244416*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/847288609443 - 
  (26432503808*f[a[4]*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/847288609443 - 
  (4980736*f[a[1]^2]*f[b[3]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/14348907 + 
  (49807360*f[a[1]^4]*f[b[3]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/129140163 - 
  (622592000*f[a[1]^6]*f[b[3]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   1162261467 - (79691776*f[a[2]^2]*f[b[3]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/129140163 + 
  (9961472*f[a[1]^2*a[2]^2]*f[b[3]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   129140163 - (34865152*f[a[1]*a[3]]*f[b[3]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/129140163 + 
  (4980736*f[a[1]^3*a[3]]*f[b[3]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   387420489 + (24903680*f[a[3]^2]*f[b[3]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/387420489 + 
  (1593835520*f[a[2]*a[4]]*f[b[3]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   10460353203 + (1070858240*f[a[1]*a[5]]*f[b[3]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/10460353203 - 
  (67371008*f[a[1]^2*b[1]*c[1]]*f[b[3]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   387420489 + (673710080*f[a[1]^4*b[1]*c[1]]*f[b[3]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/3486784401 - 
  (1077936128*f[a[2]^2*b[1]*c[1]]*f[b[3]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   3486784401 - (471597056*f[a[1]*a[3]*b[1]*c[1]]*f[b[3]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/3486784401 - 
  (6710886400*f[a[1]*a[2]*b[2]*c[1]]*f[b[3]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/10460353203 - 
  (79691776*f[a[1]^3]*f[a[1]*b[3]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   129140163 + (3984588800*f[a[1]^5]*f[a[1]*b[3]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/3486784401 + 
  (1275068416*f[a[1]*a[2]^2]*f[a[1]*b[3]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   10460353203 - (39845888*f[a[3]]*f[a[1]*b[3]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/129140163 - 
  (278921216*f[a[1]^2*a[3]]*f[a[1]*b[3]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   1162261467 + (1394606080*f[a[5]]*f[a[1]*b[3]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/10460353203 - 
  (1077936128*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[3]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/3486784401 - 
  (538968064*f[a[3]*b[1]*c[1]]*f[a[1]*b[3]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/3486784401 - 
  (3355443200*f[a[2]*b[2]*c[1]]*f[a[1]*b[3]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/10460353203 + 
  (4980736*f[1]*f[a[1]^2*b[3]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/14348907 - 
  (5224792064*f[a[1]^4]*f[a[1]^2*b[3]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   3486784401 + (388746444800*f[a[1]^6]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/94143178827 + 
  (6684147712*f[a[2]^2]*f[a[1]^2*b[3]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   10460353203 + (43910168576*f[a[1]^2*a[2]^2]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/94143178827 - 
  (34865152*f[a[1]*a[3]]*f[a[1]^2*b[3]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   129140163 - (9797107712*f[a[1]^3*a[3]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/31381059609 + 
  (2081947648*f[a[3]^2]*f[a[1]^2*b[3]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   94143178827 - (38570819584*f[a[2]*a[4]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/282429536481 + 
  (1070858240*f[a[1]*a[5]]*f[a[1]^2*b[3]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   10460353203 + (67371008*f[b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/387420489 - 
  (70672187392*f[a[1]^4*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/94143178827 + 
  (90411892736*f[a[2]^2*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/282429536481 - 
  (471597056*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/3486784401 - 
  (73819750400*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/282429536481 - 
  (1275068416*f[a[1]^2*a[2]]*f[a[2]*b[3]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   10460353203 + (12750684160*f[a[1]^4*a[2]]*f[a[2]*b[3]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/94143178827 + 
  (20401094656*f[a[2]^3]*f[a[2]*b[3]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   10460353203 - (6375342080*f[a[1]*a[2]*a[3]]*f[a[2]*b[3]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/31381059609 + 
  (1275068416*f[a[4]]*f[a[2]*b[3]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   10460353203 + (8925478912*f[a[1]^2*a[4]]*f[a[2]*b[3]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/282429536481 - 
  (2550136832*f[a[6]]*f[a[2]*b[3]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   31381059609 - (17246978048*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[2]*b[3]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/282429536481 + 
  (17246978048*f[a[4]*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/282429536481 - 
  (3355443200*f[a[1]*b[2]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/10460353203 - 
  (36909875200*f[a[1]^3*b[2]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/94143178827 + 
  (3355443200*f[a[3]*b[2]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/10460353203 + 
  (209715200*f[a[1]*a[2]]*f[b[4]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   3486784401 - (1048576000*f[a[1]^3*a[2]]*f[b[4]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/31381059609 + 
  (209715200*f[a[2]*a[3]]*f[b[4]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   10460353203 - (838860800*f[a[1]*a[4]]*f[b[4]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/94143178827 + 
  (4571791360*f[a[1]*a[2]*b[1]*c[1]]*f[b[4]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/31381059609 + 
  (15837691904*f[a[1]^2*b[2]*c[1]]*f[b[4]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/94143178827 + 
  (104857600*f[a[2]]*f[a[1]*b[4]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   3486784401 + (4508876800*f[a[1]^2*a[2]]*f[a[1]*b[4]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/94143178827 - 
  (47710208000*f[a[1]^4*a[2]]*f[a[1]*b[4]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/847288609443 - 
  (24117248000*f[a[2]^3]*f[a[1]*b[4]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   282429536481 - (1677721600*f[a[1]*a[2]*a[3]]*f[a[1]*b[4]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/847288609443 + 
  (419430400*f[a[4]]*f[a[1]*b[4]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   94143178827 - (2936012800*f[a[1]^2*a[4]]*f[a[1]*b[4]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/847288609443 - 
  (734003200*f[a[6]]*f[a[1]*b[4]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   282429536481 + (2285895680*f[a[2]*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/31381059609 + 
  (98293514240*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/847288609443 + 
  (9143582720*f[a[4]*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/847288609443 + 
  (253403070464*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/847288609443 + 
  (126701535232*f[a[3]*b[2]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/847288609443 + 
  (20669530112*f[a[2]*b[3]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/282429536481 + 
  (56360960*f[a[1]^2]*f[b[5]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/387420489 - 
  (563609600*f[a[1]^4]*f[b[5]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   3486784401 + (7045120000*f[a[1]^6]*f[b[5]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/31381059609 + 
  (901775360*f[a[2]^2]*f[b[5]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   3486784401 - (112721920*f[a[1]^2*a[2]^2]*f[b[5]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/3486784401 + 
  (394526720*f[a[1]*a[3]]*f[b[5]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   3486784401 - (56360960*f[a[1]^3*a[3]]*f[b[5]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/10460353203 - 
  (281804800*f[a[3]^2]*f[b[5]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   10460353203 - (18035507200*f[a[2]*a[4]]*f[b[5]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/282429536481 - 
  (12117606400*f[a[1]*a[5]]*f[b[5]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   282429536481 + (4229693440*f[a[1]^2*b[1]*c[1]]*f[b[5]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/31381059609 - 
  (42296934400*f[a[1]^4*b[1]*c[1]]*f[b[5]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/282429536481 + 
  (67675095040*f[a[2]^2*b[1]*c[1]]*f[b[5]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/282429536481 + 
  (29607854080*f[a[1]*a[3]*b[1]*c[1]]*f[b[5]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/282429536481 + 
  (119453777920*f[a[1]*a[2]*b[2]*c[1]]*f[b[5]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]])/282429536481 + 
  (7381975040*f[a[1]^2*b[3]*c[1]]*f[b[5]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
   94143178827 - (52428800*f[a[1]*a[2]]*f[b[1]*c[2]]*
     f[a[1]*a[2]*b[1]*c[2]])/129140163 + 
  (262144000*f[a[1]^3*a[2]]*f[b[1]*c[2]]*f[a[1]*a[2]*b[1]*c[2]])/
   1162261467 - (52428800*f[a[2]*a[3]]*f[b[1]*c[2]]*
     f[a[1]*a[2]*b[1]*c[2]])/387420489 + 
  (209715200*f[a[1]*a[4]]*f[b[1]*c[2]]*f[a[1]*a[2]*b[1]*c[2]])/
   3486784401 - (52428800*f[a[1]*a[2]*b[1]*c[1]]*f[b[1]*c[2]]*
     f[a[1]*a[2]*b[1]*c[2]])/129140163 - 
  (26214400*f[a[2]]*f[a[1]*b[1]*c[2]]*f[a[1]*a[2]*b[1]*c[2]])/
   129140163 - (1127219200*f[a[1]^2*a[2]]*f[a[1]*b[1]*c[2]]*
     f[a[1]*a[2]*b[1]*c[2]])/3486784401 + 
  (11927552000*f[a[1]^4*a[2]]*f[a[1]*b[1]*c[2]]*
     f[a[1]*a[2]*b[1]*c[2]])/31381059609 + 
  (6029312000*f[a[2]^3]*f[a[1]*b[1]*c[2]]*f[a[1]*a[2]*b[1]*c[2]])/
   10460353203 + (419430400*f[a[1]*a[2]*a[3]]*f[a[1]*b[1]*c[2]]*
     f[a[1]*a[2]*b[1]*c[2]])/31381059609 - 
  (104857600*f[a[4]]*f[a[1]*b[1]*c[2]]*f[a[1]*a[2]*b[1]*c[2]])/
   3486784401 + (734003200*f[a[1]^2*a[4]]*f[a[1]*b[1]*c[2]]*
     f[a[1]*a[2]*b[1]*c[2]])/31381059609 + 
  (183500800*f[a[6]]*f[a[1]*b[1]*c[2]]*f[a[1]*a[2]*b[1]*c[2]])/
   10460353203 - (26214400*f[a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[a[1]*a[2]*b[1]*c[2]])/129140163 - 
  (1127219200*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[a[1]*a[2]*b[1]*c[2]])/3486784401 - 
  (104857600*f[a[4]*b[1]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[a[1]*a[2]*b[1]*c[2]])/3486784401 - 
  (2684354560*f[a[2]*b[3]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[a[1]*a[2]*b[1]*c[2]])/31381059609 - 
  (576716800*f[a[1]*a[2]]*f[a[1]^2*b[1]*c[2]]*f[a[1]*a[2]*b[1]*c[2]])/
   3486784401 - (3512729600*f[a[1]^3*a[2]]*f[a[1]^2*b[1]*c[2]]*
     f[a[1]*a[2]*b[1]*c[2]])/10460353203 + 
  (2778726400*f[a[2]*a[3]]*f[a[1]^2*b[1]*c[2]]*f[a[1]*a[2]*b[1]*c[2]])/
   10460353203 - (1468006400*f[a[1]*a[4]]*f[a[1]^2*b[1]*c[2]]*
     f[a[1]*a[2]*b[1]*c[2]])/31381059609 - 
  (576716800*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]]*
     f[a[1]*a[2]*b[1]*c[2]])/3486784401 - 
  (288358400*f[a[2]]*f[a[1]^3*b[1]*c[2]]*f[a[1]*a[2]*b[1]*c[2]])/
   1162261467 - (5688524800*f[a[1]^2*a[2]]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]*a[2]*b[1]*c[2]])/31381059609 - 
  (237214105600*f[a[1]^4*a[2]]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]*a[2]*b[1]*c[2]])/847288609443 - 
  (337903616000*f[a[2]^3]*f[a[1]^3*b[1]*c[2]]*f[a[1]*a[2]*b[1]*c[2]])/
   282429536481 + (105277030400*f[a[1]*a[2]*a[3]]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]*a[2]*b[1]*c[2]])/282429536481 + 
  (5557452800*f[a[4]]*f[a[1]^3*b[1]*c[2]]*f[a[1]*a[2]*b[1]*c[2]])/
   31381059609 - (89862963200*f[a[1]^2*a[4]]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]*a[2]*b[1]*c[2]])/847288609443 - 
  (3801088000*f[a[6]]*f[a[1]^3*b[1]*c[2]]*f[a[1]*a[2]*b[1]*c[2]])/
   31381059609 - (288358400*f[a[2]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]*a[2]*b[1]*c[2]])/1162261467 - 
  (5688524800*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]*a[2]*b[1]*c[2]])/31381059609 + 
  (5557452800*f[a[4]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]*a[2]*b[1]*c[2]])/31381059609 - 
  (29527900160*f[a[2]*b[3]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]*a[2]*b[1]*c[2]])/282429536481 - 
  (26214400*f[a[1]]*f[a[2]*b[1]*c[2]]*f[a[1]*a[2]*b[1]*c[2]])/
   129140163 - (288358400*f[a[1]^3]*f[a[2]*b[1]*c[2]]*
     f[a[1]*a[2]*b[1]*c[2]])/1162261467 + 
  (655360000*f[a[1]^5]*f[a[2]*b[1]*c[2]]*f[a[1]*a[2]*b[1]*c[2]])/
   1162261467 + (19451084800*f[a[1]*a[2]^2]*f[a[2]*b[1]*c[2]]*
     f[a[1]*a[2]*b[1]*c[2]])/31381059609 + 
  (26214400*f[a[3]]*f[a[2]*b[1]*c[2]]*f[a[1]*a[2]*b[1]*c[2]])/
   129140163 - (5006950400*f[a[1]^2*a[3]]*f[a[2]*b[1]*c[2]]*
     f[a[1]*a[2]*b[1]*c[2]])/10460353203 - 
  (3014656000*f[a[5]]*f[a[2]*b[1]*c[2]]*f[a[1]*a[2]*b[1]*c[2]])/
   31381059609 - (26214400*f[a[1]*b[1]*c[1]]*f[a[2]*b[1]*c[2]]*
     f[a[1]*a[2]*b[1]*c[2]])/129140163 - 
  (288358400*f[a[1]^3*b[1]*c[1]]*f[a[2]*b[1]*c[2]]*
     f[a[1]*a[2]*b[1]*c[2]])/1162261467 + 
  (26214400*f[a[3]*b[1]*c[1]]*f[a[2]*b[1]*c[2]]*
     f[a[1]*a[2]*b[1]*c[2]])/129140163 - 
  (2684354560*f[a[1]*b[3]*c[1]]*f[a[2]*b[1]*c[2]]*
     f[a[1]*a[2]*b[1]*c[2]])/31381059609 - 
  (26214400*f[1]*f[a[1]*a[2]*b[1]*c[2]]^2)/129140163 - 
  (288358400*f[a[1]^2]*f[a[1]*a[2]*b[1]*c[2]]^2)/3486784401 - 
  (9882828800*f[a[1]^4]*f[a[1]*a[2]*b[1]*c[2]]^2)/31381059609 + 
  (865730560000*f[a[1]^6]*f[a[1]*a[2]*b[1]*c[2]]^2)/847288609443 + 
  (6029312000*f[a[2]^2]*f[a[1]*a[2]*b[1]*c[2]]^2)/31381059609 + 
  (950586572800*f[a[1]^2*a[2]^2]*f[a[1]*a[2]*b[1]*c[2]]^2)/
   2541865828329 - (419430400*f[a[1]*a[3]]*f[a[1]*a[2]*b[1]*c[2]]^2)/
   31381059609 - (105277030400*f[a[1]^3*a[3]]*f[a[1]*a[2]*b[1]*c[2]]^2)/
   282429536481 - (138910105600*f[a[3]^2]*f[a[1]*a[2]*b[1]*c[2]]^2)/
   847288609443 + (26843545600*f[a[2]*a[4]]*f[a[1]*a[2]*b[1]*c[2]]^2)/
   2541865828329 + (27262976000*f[a[1]*a[5]]*f[a[1]*a[2]*b[1]*c[2]]^2)/
   2541865828329 - (26214400*f[b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]^2)/
   129140163 - (288358400*f[a[1]^2*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]^2)/
   3486784401 - (9882828800*f[a[1]^4*b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]]^2)/31381059609 + 
  (6029312000*f[a[2]^2*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]^2)/31381059609 - 
  (419430400*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]^2)/
   31381059609 - (2684354560*f[b[3]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]^2)/
   31381059609 - (29527900160*f[a[1]^2*b[3]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]]^2)/847288609443 + 
  (13421772800*f[b[5]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]^2)/2541865828329 + 
  (204800*f[a[2]]*f[b[1]*c[1]]*f[a[3]*b[1]*c[2]])/531441 - 
  (1024000*f[a[1]^2*a[2]]*f[b[1]*c[1]]*f[a[3]*b[1]*c[2]])/14348907 + 
  (5120000*f[a[1]^4*a[2]]*f[b[1]*c[1]]*f[a[3]*b[1]*c[2]])/129140163 + 
  (5324800*f[a[2]^3]*f[b[1]*c[1]]*f[a[3]*b[1]*c[2]])/43046721 + 
  (6553600*f[a[1]*a[2]*a[3]]*f[b[1]*c[1]]*f[a[3]*b[1]*c[2]])/
   129140163 + (8028160*f[a[4]]*f[b[1]*c[1]]*f[a[3]*b[1]*c[2]])/
   14348907 - (40140800*f[a[1]^2*a[4]]*f[b[1]*c[1]]*f[a[3]*b[1]*c[2]])/
   387420489 - (260218880*f[a[6]]*f[b[1]*c[1]]*f[a[3]*b[1]*c[2]])/
   1162261467 + (10485760*f[a[1]*a[2]]*f[a[1]*b[1]*c[1]]*
     f[a[3]*b[1]*c[2]])/43046721 - 
  (52428800*f[a[1]^3*a[2]]*f[a[1]*b[1]*c[1]]*f[a[3]*b[1]*c[2]])/
   387420489 - (450887680*f[a[2]*a[3]]*f[a[1]*b[1]*c[1]]*
     f[a[3]*b[1]*c[2]])/1162261467 + 
  (41943040*f[a[1]*a[4]]*f[a[1]*b[1]*c[1]]*f[a[3]*b[1]*c[2]])/
   129140163 - (1761280*f[a[2]]*f[a[1]^2*b[1]*c[1]]*f[a[3]*b[1]*c[2]])/
   43046721 + (40591360*f[a[1]^2*a[2]]*f[a[1]^2*b[1]*c[1]]*
     f[a[3]*b[1]*c[2]])/129140163 - 
  (3609190400*f[a[1]^4*a[2]]*f[a[1]^2*b[1]*c[1]]*f[a[3]*b[1]*c[2]])/
   10460353203 + (1631928320*f[a[2]^3]*f[a[1]^2*b[1]*c[1]]*
     f[a[3]*b[1]*c[2]])/3486784401 - 
  (14660403200*f[a[1]*a[2]*a[3]]*f[a[1]^2*b[1]*c[1]]*
     f[a[3]*b[1]*c[2]])/31381059609 - 
  (45383680*f[a[4]]*f[a[1]^2*b[1]*c[1]]*f[a[3]*b[1]*c[2]])/387420489 + 
  (1389854720*f[a[1]^2*a[4]]*f[a[1]^2*b[1]*c[1]]*f[a[3]*b[1]*c[2]])/
   3486784401 + (1596006400*f[a[6]]*f[a[1]^2*b[1]*c[1]]*
     f[a[3]*b[1]*c[2]])/31381059609 - 
  (10485760*f[a[1]*a[2]]*f[a[1]^3*b[1]*c[1]]*f[a[3]*b[1]*c[2]])/
   129140163 + (241172480*f[a[1]^3*a[2]]*f[a[1]^3*b[1]*c[1]]*
     f[a[3]*b[1]*c[2]])/387420489 + 
  (2191523840*f[a[2]*a[3]]*f[a[1]^3*b[1]*c[1]]*f[a[3]*b[1]*c[2]])/
   10460353203 - (713031680*f[a[1]*a[4]]*f[a[1]^3*b[1]*c[1]]*
     f[a[3]*b[1]*c[2]])/3486784401 + 
  (2252800*f[a[2]]*f[a[1]^4*b[1]*c[1]]*f[a[3]*b[1]*c[2]])/387420489 - 
  (2234245120*f[a[1]^2*a[2]]*f[a[1]^4*b[1]*c[1]]*f[a[3]*b[1]*c[2]])/
   10460353203 + (474880286720*f[a[1]^4*a[2]]*f[a[1]^4*b[1]*c[1]]*
     f[a[3]*b[1]*c[2]])/282429536481 - 
  (128992952320*f[a[2]^3]*f[a[1]^4*b[1]*c[1]]*f[a[3]*b[1]*c[2]])/
   282429536481 + (141102940160*f[a[1]*a[2]*a[3]]*f[a[1]^4*b[1]*c[1]]*
     f[a[3]*b[1]*c[2]])/282429536481 + 
  (84377600*f[a[4]]*f[a[1]^4*b[1]*c[1]]*f[a[3]*b[1]*c[2]])/1162261467 - 
  (5117870080*f[a[1]^2*a[4]]*f[a[1]^4*b[1]*c[1]]*f[a[3]*b[1]*c[2]])/
   10460353203 - (9454592000*f[a[6]]*f[a[1]^4*b[1]*c[1]]*
     f[a[3]*b[1]*c[2]])/282429536481 - 
  (204800*f[1]*f[a[2]*b[1]*c[1]]*f[a[3]*b[1]*c[2]])/531441 + 
  (1761280*f[a[1]^2]*f[a[2]*b[1]*c[1]]*f[a[3]*b[1]*c[2]])/43046721 - 
  (2252800*f[a[1]^4]*f[a[2]*b[1]*c[1]]*f[a[3]*b[1]*c[2]])/387420489 - 
  (35840000*f[a[1]^6]*f[a[2]*b[1]*c[1]]*f[a[3]*b[1]*c[2]])/3486784401 - 
  (110182400*f[a[2]^2]*f[a[2]*b[1]*c[1]]*f[a[3]*b[1]*c[2]])/129140163 + 
  (1618657280*f[a[1]^2*a[2]^2]*f[a[2]*b[1]*c[1]]*f[a[3]*b[1]*c[2]])/
   10460353203 + (332922880*f[a[1]*a[3]]*f[a[2]*b[1]*c[1]]*
     f[a[3]*b[1]*c[2]])/1162261467 - 
  (1790443520*f[a[1]^3*a[3]]*f[a[2]*b[1]*c[1]]*f[a[3]*b[1]*c[2]])/
   10460353203 + (4396851200*f[a[3]^2]*f[a[2]*b[1]*c[1]]*
     f[a[3]*b[1]*c[2]])/3486784401 - 
  (1845493760*f[a[2]*a[4]]*f[a[2]*b[1]*c[1]]*f[a[3]*b[1]*c[2]])/
   3486784401 + (380108800*f[a[1]*a[5]]*f[a[2]*b[1]*c[1]]*
     f[a[3]*b[1]*c[2]])/10460353203 - 
  (10485760*f[a[1]]*f[a[1]*a[2]*b[1]*c[1]]*f[a[3]*b[1]*c[2]])/
   43046721 + (10485760*f[a[1]^3]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[3]*b[1]*c[2]])/129140163 - 
  (262144000*f[a[1]^5]*f[a[1]*a[2]*b[1]*c[1]]*f[a[3]*b[1]*c[2]])/
   10460353203 - (7319060480*f[a[1]*a[2]^2]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[3]*b[1]*c[2]])/10460353203 + 
  (10590617600*f[a[1]^2*a[3]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[3]*b[1]*c[2]])/31381059609 - 
  (104857600*f[a[5]]*f[a[1]*a[2]*b[1]*c[1]]*f[a[3]*b[1]*c[2]])/
   10460353203 + (1024000*f[1]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[3]*b[1]*c[2]])/14348907 - 
  (40591360*f[a[1]^2]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[3]*b[1]*c[2]])/
   129140163 + (2234245120*f[a[1]^4]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[3]*b[1]*c[2]])/10460353203 - 
  (10830848000*f[a[1]^6]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[3]*b[1]*c[2]])/
   94143178827 - (696074240*f[a[2]^2]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[3]*b[1]*c[2]])/10460353203 - 
  (897324236800*f[a[1]^2*a[2]^2]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[3]*b[1]*c[2]])/847288609443 - 
  (1601699840*f[a[1]*a[3]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[3]*b[1]*c[2]])/
   31381059609 + (59026964480*f[a[1]^3*a[3]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[3]*b[1]*c[2]])/94143178827 - 
  (21669683200*f[a[3]^2]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[3]*b[1]*c[2]])/
   94143178827 + (156866969600*f[a[2]*a[4]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[3]*b[1]*c[2]])/847288609443 - 
  (17131110400*f[a[1]*a[5]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[3]*b[1]*c[2]])/847288609443 + 
  (110182400*f[a[2]]*f[a[2]^2*b[1]*c[1]]*f[a[3]*b[1]*c[2]])/129140163 + 
  (696074240*f[a[1]^2*a[2]]*f[a[2]^2*b[1]*c[1]]*f[a[3]*b[1]*c[2]])/
   10460353203 - (15224422400*f[a[1]^4*a[2]]*f[a[2]^2*b[1]*c[1]]*
     f[a[3]*b[1]*c[2]])/94143178827 + 
  (29708288000*f[a[2]^3]*f[a[2]^2*b[1]*c[1]]*f[a[3]*b[1]*c[2]])/
   10460353203 - (93425500160*f[a[1]*a[2]*a[3]]*f[a[2]^2*b[1]*c[1]]*
     f[a[3]*b[1]*c[2]])/282429536481 + 
  (206766080*f[a[4]]*f[a[2]^2*b[1]*c[1]]*f[a[3]*b[1]*c[2]])/
   10460353203 + (191514214400*f[a[1]^2*a[4]]*f[a[2]^2*b[1]*c[1]]*
     f[a[3]*b[1]*c[2]])/847288609443 + 
  (3615211520*f[a[6]]*f[a[2]^2*b[1]*c[1]]*f[a[3]*b[1]*c[2]])/
   282429536481 - (332922880*f[a[2]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[3]*b[1]*c[2]])/1162261467 + 
  (1601699840*f[a[1]^2*a[2]]*f[a[1]*a[3]*b[1]*c[1]]*f[a[3]*b[1]*c[2]])/
   31381059609 - (7693926400*f[a[1]^4*a[2]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[3]*b[1]*c[2]])/282429536481 + 
  (66841477120*f[a[2]^3]*f[a[1]*a[3]*b[1]*c[1]]*f[a[3]*b[1]*c[2]])/
   94143178827 + (104857600*f[a[1]*a[2]*a[3]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[3]*b[1]*c[2]])/10460353203 + 
  (2841640960*f[a[4]]*f[a[1]*a[3]*b[1]*c[1]]*f[a[3]*b[1]*c[2]])/
   10460353203 - (13956546560*f[a[1]^2*a[4]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[3]*b[1]*c[2]])/282429536481 - 
  (1633157120*f[a[6]]*f[a[1]*a[3]*b[1]*c[1]]*f[a[3]*b[1]*c[2]])/
   10460353203 - (8028160*f[1]*f[a[4]*b[1]*c[1]]*f[a[3]*b[1]*c[2]])/
   14348907 + (45383680*f[a[1]^2]*f[a[4]*b[1]*c[1]]*f[a[3]*b[1]*c[2]])/
   387420489 - (84377600*f[a[1]^4]*f[a[4]*b[1]*c[1]]*
     f[a[3]*b[1]*c[2]])/1162261467 + 
  (6983680000*f[a[1]^6]*f[a[4]*b[1]*c[1]]*f[a[3]*b[1]*c[2]])/
   94143178827 - (206766080*f[a[2]^2]*f[a[4]*b[1]*c[1]]*
     f[a[3]*b[1]*c[2]])/10460353203 + 
  (1442775040*f[a[1]^2*a[2]^2]*f[a[4]*b[1]*c[1]]*f[a[3]*b[1]*c[2]])/
   282429536481 - (2841640960*f[a[1]*a[3]]*f[a[4]*b[1]*c[1]]*
     f[a[3]*b[1]*c[2]])/10460353203 + 
  (14711521280*f[a[1]^3*a[3]]*f[a[4]*b[1]*c[1]]*f[a[3]*b[1]*c[2]])/
   94143178827 + (172356567040*f[a[3]^2]*f[a[4]*b[1]*c[1]]*
     f[a[3]*b[1]*c[2]])/94143178827 - 
  (7381975040*f[a[2]*a[4]]*f[a[4]*b[1]*c[1]]*f[a[3]*b[1]*c[2]])/
   10460353203 + (15676211200*f[a[1]*a[5]]*f[a[4]*b[1]*c[1]]*
     f[a[3]*b[1]*c[2]])/847288609443 + 
  (28672*f[a[1]]*f[b[2]*c[1]]*f[a[3]*b[1]*c[2]])/531441 - 
  (143360*f[a[1]^3]*f[b[2]*c[1]]*f[a[3]*b[1]*c[2]])/4782969 + 
  (3584000*f[a[1]^5]*f[b[2]*c[1]]*f[a[3]*b[1]*c[2]])/129140163 + 
  (745472*f[a[1]*a[2]^2]*f[b[2]*c[1]]*f[a[3]*b[1]*c[2]])/129140163 - 
  (18436096*f[a[3]]*f[b[2]*c[1]]*f[a[3]*b[1]*c[2]])/14348907 + 
  (97685504*f[a[1]^2*a[3]]*f[b[2]*c[1]]*f[a[3]*b[1]*c[2]])/387420489 + 
  (6737920*f[a[5]]*f[b[2]*c[1]]*f[a[3]*b[1]*c[2]])/129140163 - 
  (561152*f[a[1]*b[1]*c[1]]*f[b[2]*c[1]]*f[a[3]*b[1]*c[2]])/43046721 + 
  (2805760*f[a[1]^3*b[1]*c[1]]*f[b[2]*c[1]]*f[a[3]*b[1]*c[2]])/
   387420489 + (360820736*f[a[3]*b[1]*c[1]]*f[b[2]*c[1]]*
     f[a[3]*b[1]*c[2]])/1162261467 + 
  (28672*f[1]*f[a[1]*b[2]*c[1]]*f[a[3]*b[1]*c[2]])/531441 + 
  (28672*f[a[1]^2]*f[a[1]*b[2]*c[1]]*f[a[3]*b[1]*c[2]])/531441 - 
  (8458240*f[a[1]^4]*f[a[1]*b[2]*c[1]]*f[a[3]*b[1]*c[2]])/129140163 + 
  (326144000*f[a[1]^6]*f[a[1]*b[2]*c[1]]*f[a[3]*b[1]*c[2]])/
   3486784401 + (24715264*f[a[2]^2]*f[a[1]*b[2]*c[1]]*
     f[a[3]*b[1]*c[2]])/43046721 - 
  (346873856*f[a[1]^2*a[2]^2]*f[a[1]*b[2]*c[1]]*f[a[3]*b[1]*c[2]])/
   3486784401 - (293601280*f[a[1]*a[3]]*f[a[1]*b[2]*c[1]]*
     f[a[3]*b[1]*c[2]])/387420489 + 
  (1556086784*f[a[1]^3*a[3]]*f[a[1]*b[2]*c[1]]*f[a[3]*b[1]*c[2]])/
   3486784401 + (28672*f[a[3]^2]*f[a[1]*b[2]*c[1]]*f[a[3]*b[1]*c[2]])/
   177147 + (2936012800*f[a[2]*a[4]]*f[a[1]*b[2]*c[1]]*
     f[a[3]*b[1]*c[2]])/10460353203 + 
  (293601280*f[a[1]*a[5]]*f[a[1]*b[2]*c[1]]*f[a[3]*b[1]*c[2]])/
   10460353203 - (561152*f[b[1]*c[1]]*f[a[1]*b[2]*c[1]]*
     f[a[3]*b[1]*c[2]])/43046721 - 
  (561152*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*f[a[3]*b[1]*c[2]])/
   43046721 + (165539840*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*
     f[a[3]*b[1]*c[2]])/10460353203 - 
  (483713024*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*f[a[3]*b[1]*c[2]])/
   3486784401 + (5746196480*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*
     f[a[3]*b[1]*c[2]])/31381059609 + 
  (28672*f[a[1]]*f[a[1]^2*b[2]*c[1]]*f[a[3]*b[1]*c[2]])/531441 + 
  (10809344*f[a[1]^3]*f[a[1]^2*b[2]*c[1]]*f[a[3]*b[1]*c[2]])/
   129140163 - (637235200*f[a[1]^5]*f[a[1]^2*b[2]*c[1]]*
     f[a[3]*b[1]*c[2]])/3486784401 + 
  (7341694976*f[a[1]*a[2]^2]*f[a[1]^2*b[2]*c[1]]*f[a[3]*b[1]*c[2]])/
   10460353203 + (89427968*f[a[3]]*f[a[1]^2*b[2]*c[1]]*
     f[a[3]*b[1]*c[2]])/387420489 - 
  (3275288576*f[a[1]^2*a[3]]*f[a[1]^2*b[2]*c[1]]*f[a[3]*b[1]*c[2]])/
   3486784401 - (41431040*f[a[5]]*f[a[1]^2*b[2]*c[1]]*
     f[a[3]*b[1]*c[2]])/10460353203 - 
  (561152*f[a[1]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*f[a[3]*b[1]*c[2]])/
   43046721 - (211554304*f[a[1]^3*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*
     f[a[3]*b[1]*c[2]])/10460353203 - 
  (1750233088*f[a[3]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*f[a[3]*b[1]*c[2]])/
   31381059609 - (143360*f[1]*f[a[1]^3*b[2]*c[1]]*f[a[3]*b[1]*c[2]])/
   4782969 + (10809344*f[a[1]^2]*f[a[1]^3*b[2]*c[1]]*
     f[a[3]*b[1]*c[2]])/129140163 + 
  (625995776*f[a[1]^4]*f[a[1]^3*b[2]*c[1]]*f[a[3]*b[1]*c[2]])/
   3486784401 - (6537932800*f[a[1]^6]*f[a[1]^3*b[2]*c[1]]*
     f[a[3]*b[1]*c[2]])/10460353203 - 
  (877305856*f[a[2]^2]*f[a[1]^3*b[2]*c[1]]*f[a[3]*b[1]*c[2]])/
   3486784401 + (41810944000*f[a[1]^2*a[2]^2]*f[a[1]^3*b[2]*c[1]]*
     f[a[3]*b[1]*c[2]])/31381059609 + 
  (1423966208*f[a[1]*a[3]]*f[a[1]^3*b[2]*c[1]]*f[a[3]*b[1]*c[2]])/
   3486784401 - (171595268096*f[a[1]^3*a[3]]*f[a[1]^3*b[2]*c[1]]*
     f[a[3]*b[1]*c[2]])/94143178827 - 
  (925904896*f[a[3]^2]*f[a[1]^3*b[2]*c[1]]*f[a[3]*b[1]*c[2]])/
   10460353203 - (17498636288*f[a[2]*a[4]]*f[a[1]^3*b[2]*c[1]]*
     f[a[3]*b[1]*c[2]])/94143178827 - 
  (513802240*f[a[1]*a[5]]*f[a[1]^3*b[2]*c[1]]*f[a[3]*b[1]*c[2]])/
   94143178827 + (2805760*f[b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[3]*b[1]*c[2]])/387420489 - 
  (211554304*f[a[1]^2*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[3]*b[1]*c[2]])/10460353203 - 
  (12251631616*f[a[1]^4*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[3]*b[1]*c[2]])/282429536481 + 
  (17170128896*f[a[2]^2*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[3]*b[1]*c[2]])/282429536481 - 
  (27869052928*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[3]*b[1]*c[2]])/282429536481 - 
  (14680064*f[a[1]*a[2]]*f[a[2]*b[2]*c[1]]*f[a[3]*b[1]*c[2]])/
   43046721 + (73400320*f[a[1]^3*a[2]]*f[a[2]*b[2]*c[1]]*
     f[a[3]*b[1]*c[2]])/387420489 + 
  (3068133376*f[a[2]*a[3]]*f[a[2]*b[2]*c[1]]*f[a[3]*b[1]*c[2]])/
   3486784401 - (4286578688*f[a[1]*a[4]]*f[a[2]*b[2]*c[1]]*
     f[a[3]*b[1]*c[2]])/10460353203 + 
  (287309824*f[a[1]*a[2]*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*
     f[a[3]*b[1]*c[2]])/3486784401 - 
  (14680064*f[a[2]]*f[a[1]*a[2]*b[2]*c[1]]*f[a[3]*b[1]*c[2]])/
   43046721 - (3802136576*f[a[1]^2*a[2]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[3]*b[1]*c[2]])/10460353203 + 
  (41324380160*f[a[1]^4*a[2]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[3]*b[1]*c[2]])/94143178827 - 
  (19935526912*f[a[2]^3]*f[a[1]*a[2]*b[2]*c[1]]*f[a[3]*b[1]*c[2]])/
   10460353203 + (211158040576*f[a[1]*a[2]*a[3]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[3]*b[1]*c[2]])/282429536481 + 
  (1350565888*f[a[4]]*f[a[1]*a[2]*b[2]*c[1]]*f[a[3]*b[1]*c[2]])/
   10460353203 - (5226102784*f[a[1]^2*a[4]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[3]*b[1]*c[2]])/10460353203 - 
  (2833252352*f[a[6]]*f[a[1]*a[2]*b[2]*c[1]]*f[a[3]*b[1]*c[2]])/
   31381059609 + (287309824*f[a[2]*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[3]*b[1]*c[2]])/3486784401 + 
  (74413244416*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[3]*b[1]*c[2]])/847288609443 - 
  (26432503808*f[a[4]*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[3]*b[1]*c[2]])/847288609443 - 
  (18436096*f[1]*f[a[3]*b[2]*c[1]]*f[a[3]*b[1]*c[2]])/14348907 + 
  (89427968*f[a[1]^2]*f[a[3]*b[2]*c[1]]*f[a[3]*b[1]*c[2]])/387420489 - 
  (433377280*f[a[1]^4]*f[a[3]*b[2]*c[1]]*f[a[3]*b[1]*c[2]])/
   3486784401 + (10490368000*f[a[1]^6]*f[a[3]*b[2]*c[1]]*
     f[a[3]*b[1]*c[2]])/94143178827 + 
  (2823675904*f[a[2]^2]*f[a[3]*b[2]*c[1]]*f[a[3]*b[1]*c[2]])/
   3486784401 - (14189944832*f[a[1]^2*a[2]^2]*f[a[3]*b[2]*c[1]]*
     f[a[3]*b[1]*c[2]])/94143178827 - 
  (29360128*f[a[1]^3*a[3]]*f[a[3]*b[2]*c[1]]*f[a[3]*b[1]*c[2]])/
   10460353203 - (18436096*f[a[3]^2]*f[a[3]*b[2]*c[1]]*
     f[a[3]*b[1]*c[2]])/4782969 + 
  (426191618048*f[a[2]*a[4]]*f[a[3]*b[2]*c[1]]*f[a[3]*b[1]*c[2]])/
   282429536481 + (36406558720*f[a[1]*a[5]]*f[a[3]*b[2]*c[1]]*
     f[a[3]*b[1]*c[2]])/282429536481 + 
  (360820736*f[b[1]*c[1]]*f[a[3]*b[2]*c[1]]*f[a[3]*b[1]*c[2]])/
   1162261467 - (1750233088*f[a[1]^2*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[a[3]*b[1]*c[2]])/31381059609 + 
  (8481812480*f[a[1]^4*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*f[a[3]*b[1]*c[2]])/
   282429536481 - (55263371264*f[a[2]^2*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[a[3]*b[1]*c[2]])/282429536481 + 
  (778240*f[a[2]]*f[b[3]*c[1]]*f[a[3]*b[1]*c[2]])/1594323 - 
  (3891200*f[a[1]^2*a[2]]*f[b[3]*c[1]]*f[a[3]*b[1]*c[2]])/43046721 + 
  (19456000*f[a[1]^4*a[2]]*f[b[3]*c[1]]*f[a[3]*b[1]*c[2]])/387420489 + 
  (20234240*f[a[2]^3]*f[b[3]*c[1]]*f[a[3]*b[1]*c[2]])/129140163 + 
  (24903680*f[a[1]*a[2]*a[3]]*f[b[3]*c[1]]*f[a[3]*b[1]*c[2]])/
   387420489 + (30507008*f[a[4]]*f[b[3]*c[1]]*f[a[3]*b[1]*c[2]])/
   43046721 - (152535040*f[a[1]^2*a[4]]*f[b[3]*c[1]]*
     f[a[3]*b[1]*c[2]])/1162261467 - 
  (988831744*f[a[6]]*f[b[3]*c[1]]*f[a[3]*b[1]*c[2]])/3486784401 + 
  (10526720*f[a[2]*b[1]*c[1]]*f[b[3]*c[1]]*f[a[3]*b[1]*c[2]])/
   43046721 - (52633600*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[3]*c[1]]*
     f[a[3]*b[1]*c[2]])/1162261467 + 
  (412647424*f[a[4]*b[1]*c[1]]*f[b[3]*c[1]]*f[a[3]*b[1]*c[2]])/
   1162261467 - (6553600*f[a[1]*b[2]*c[1]]*f[b[3]*c[1]]*
     f[a[3]*b[1]*c[2]])/129140163 + 
  (32768000*f[a[1]^3*b[2]*c[1]]*f[b[3]*c[1]]*f[a[3]*b[1]*c[2]])/
   1162261467 + (4213964800*f[a[3]*b[2]*c[1]]*f[b[3]*c[1]]*
     f[a[3]*b[1]*c[2]])/3486784401 + 
  (39845888*f[a[1]*a[2]]*f[a[1]*b[3]*c[1]]*f[a[3]*b[1]*c[2]])/
   129140163 - (199229440*f[a[1]^3*a[2]]*f[a[1]*b[3]*c[1]]*
     f[a[3]*b[1]*c[2]])/1162261467 - 
  (1713373184*f[a[2]*a[3]]*f[a[1]*b[3]*c[1]]*f[a[3]*b[1]*c[2]])/
   3486784401 + (159383552*f[a[1]*a[4]]*f[a[1]*b[3]*c[1]]*
     f[a[3]*b[1]*c[2]])/387420489 + 
  (538968064*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]*b[3]*c[1]]*
     f[a[3]*b[1]*c[2]])/3486784401 - 
  (6553600*f[b[2]*c[1]]*f[a[1]*b[3]*c[1]]*f[a[3]*b[1]*c[2]])/
   129140163 - (6553600*f[a[1]^2*b[2]*c[1]]*f[a[1]*b[3]*c[1]]*
     f[a[3]*b[1]*c[2]])/129140163 - 
  (6692864*f[a[2]]*f[a[1]^2*b[3]*c[1]]*f[a[3]*b[1]*c[2]])/129140163 + 
  (154247168*f[a[1]^2*a[2]]*f[a[1]^2*b[3]*c[1]]*f[a[3]*b[1]*c[2]])/
   387420489 - (13714923520*f[a[1]^4*a[2]]*f[a[1]^2*b[3]*c[1]]*
     f[a[3]*b[1]*c[2]])/31381059609 + 
  (6201327616*f[a[2]^3]*f[a[1]^2*b[3]*c[1]]*f[a[3]*b[1]*c[2]])/
   10460353203 - (55709532160*f[a[1]*a[2]*a[3]]*f[a[1]^2*b[3]*c[1]]*
     f[a[3]*b[1]*c[2]])/94143178827 - 
  (172457984*f[a[4]]*f[a[1]^2*b[3]*c[1]]*f[a[3]*b[1]*c[2]])/
   1162261467 + (5281447936*f[a[1]^2*a[4]]*f[a[1]^2*b[3]*c[1]]*
     f[a[3]*b[1]*c[2]])/10460353203 + 
  (6064824320*f[a[6]]*f[a[1]^2*b[3]*c[1]]*f[a[3]*b[1]*c[2]])/
   94143178827 - (90529792*f[a[2]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[a[3]*b[1]*c[2]])/3486784401 + 
  (2086395904*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[a[3]*b[1]*c[2]])/10460353203 - 
  (2332721152*f[a[4]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*f[a[3]*b[1]*c[2]])/
   31381059609 - (6553600*f[a[1]*b[2]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[a[3]*b[1]*c[2]])/129140163 - 
  (2470707200*f[a[1]^3*b[2]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[a[3]*b[1]*c[2]])/31381059609 - 
  (20440678400*f[a[3]*b[2]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[a[3]*b[1]*c[2]])/94143178827 - 
  (778240*f[1]*f[a[2]*b[3]*c[1]]*f[a[3]*b[1]*c[2]])/1594323 + 
  (6692864*f[a[1]^2]*f[a[2]*b[3]*c[1]]*f[a[3]*b[1]*c[2]])/129140163 - 
  (8560640*f[a[1]^4]*f[a[2]*b[3]*c[1]]*f[a[3]*b[1]*c[2]])/1162261467 - 
  (136192000*f[a[1]^6]*f[a[2]*b[3]*c[1]]*f[a[3]*b[1]*c[2]])/
   10460353203 - (418693120*f[a[2]^2]*f[a[2]*b[3]*c[1]]*
     f[a[3]*b[1]*c[2]])/387420489 + 
  (6150897664*f[a[1]^2*a[2]^2]*f[a[2]*b[3]*c[1]]*f[a[3]*b[1]*c[2]])/
   31381059609 + (1265106944*f[a[1]*a[3]]*f[a[2]*b[3]*c[1]]*
     f[a[3]*b[1]*c[2]])/3486784401 - 
  (6803685376*f[a[1]^3*a[3]]*f[a[2]*b[3]*c[1]]*f[a[3]*b[1]*c[2]])/
   31381059609 + (16708034560*f[a[3]^2]*f[a[2]*b[3]*c[1]]*
     f[a[3]*b[1]*c[2]])/10460353203 - 
  (7012876288*f[a[2]*a[4]]*f[a[2]*b[3]*c[1]]*f[a[3]*b[1]*c[2]])/
   10460353203 + (1444413440*f[a[1]*a[5]]*f[a[2]*b[3]*c[1]]*
     f[a[3]*b[1]*c[2]])/31381059609 - 
  (10526720*f[b[1]*c[1]]*f[a[2]*b[3]*c[1]]*f[a[3]*b[1]*c[2]])/
   43046721 + (90529792*f[a[1]^2*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[a[3]*b[1]*c[2]])/3486784401 - 
  (115793920*f[a[1]^4*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*f[a[3]*b[1]*c[2]])/
   31381059609 - (5663375360*f[a[2]^2*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[a[3]*b[1]*c[2]])/10460353203 + 
  (17112236032*f[a[1]*a[3]*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[a[3]*b[1]*c[2]])/94143178827 + 
  (3355443200*f[a[1]*a[2]*b[2]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[a[3]*b[1]*c[2]])/10460353203 + 
  (204800*f[a[1]]*f[b[4]*c[1]]*f[a[3]*b[1]*c[2]])/43046721 - 
  (1024000*f[a[1]^3]*f[b[4]*c[1]]*f[a[3]*b[1]*c[2]])/387420489 + 
  (25600000*f[a[1]^5]*f[b[4]*c[1]]*f[a[3]*b[1]*c[2]])/10460353203 + 
  (5324800*f[a[1]*a[2]^2]*f[b[4]*c[1]]*f[a[3]*b[1]*c[2]])/10460353203 - 
  (131686400*f[a[3]]*f[b[4]*c[1]]*f[a[3]*b[1]*c[2]])/1162261467 + 
  (697753600*f[a[1]^2*a[3]]*f[b[4]*c[1]]*f[a[3]*b[1]*c[2]])/
   31381059609 + (48128000*f[a[5]]*f[b[4]*c[1]]*f[a[3]*b[1]*c[2]])/
   10460353203 + (4464640*f[a[1]*b[1]*c[1]]*f[b[4]*c[1]]*
     f[a[3]*b[1]*c[2]])/387420489 - 
  (22323200*f[a[1]^3*b[1]*c[1]]*f[b[4]*c[1]]*f[a[3]*b[1]*c[2]])/
   3486784401 - (2870763520*f[a[3]*b[1]*c[1]]*f[b[4]*c[1]]*
     f[a[3]*b[1]*c[2]])/10460353203 - 
  (2474639360*f[a[2]*b[2]*c[1]]*f[b[4]*c[1]]*f[a[3]*b[1]*c[2]])/
   10460353203 + (40370176*f[a[1]*b[3]*c[1]]*f[b[4]*c[1]]*
     f[a[3]*b[1]*c[2]])/3486784401 + 
  (204800*f[1]*f[a[1]*b[4]*c[1]]*f[a[3]*b[1]*c[2]])/43046721 + 
  (204800*f[a[1]^2]*f[a[1]*b[4]*c[1]]*f[a[3]*b[1]*c[2]])/43046721 - 
  (60416000*f[a[1]^4]*f[a[1]*b[4]*c[1]]*f[a[3]*b[1]*c[2]])/
   10460353203 + (2329600000*f[a[1]^6]*f[a[1]*b[4]*c[1]]*
     f[a[3]*b[1]*c[2]])/282429536481 + 
  (176537600*f[a[2]^2]*f[a[1]*b[4]*c[1]]*f[a[3]*b[1]*c[2]])/
   3486784401 - (2477670400*f[a[1]^2*a[2]^2]*f[a[1]*b[4]*c[1]]*
     f[a[3]*b[1]*c[2]])/282429536481 - 
  (2097152000*f[a[1]*a[3]]*f[a[1]*b[4]*c[1]]*f[a[3]*b[1]*c[2]])/
   31381059609 + (11114905600*f[a[1]^3*a[3]]*f[a[1]*b[4]*c[1]]*
     f[a[3]*b[1]*c[2]])/282429536481 + 
  (204800*f[a[3]^2]*f[a[1]*b[4]*c[1]]*f[a[3]*b[1]*c[2]])/14348907 + 
  (20971520000*f[a[2]*a[4]]*f[a[1]*b[4]*c[1]]*f[a[3]*b[1]*c[2]])/
   847288609443 + (2097152000*f[a[1]*a[5]]*f[a[1]*b[4]*c[1]]*
     f[a[3]*b[1]*c[2]])/847288609443 + 
  (4464640*f[b[1]*c[1]]*f[a[1]*b[4]*c[1]]*f[a[3]*b[1]*c[2]])/
   387420489 + (4464640*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[a[3]*b[1]*c[2]])/387420489 - 
  (1317068800*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*f[a[3]*b[1]*c[2]])/
   94143178827 + (3848519680*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[a[3]*b[1]*c[2]])/31381059609 - 
  (45717913600*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[a[3]*b[1]*c[2]])/282429536481 - 
  (126701535232*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[a[3]*b[1]*c[2]])/847288609443 + 
  (40370176*f[b[3]*c[1]]*f[a[1]*b[4]*c[1]]*f[a[3]*b[1]*c[2]])/
   3486784401 + (40370176*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[a[3]*b[1]*c[2]])/3486784401 - 
  (8806400*f[a[2]]*f[b[5]*c[1]]*f[a[3]*b[1]*c[2]])/43046721 + 
  (44032000*f[a[1]^2*a[2]]*f[b[5]*c[1]]*f[a[3]*b[1]*c[2]])/1162261467 - 
  (220160000*f[a[1]^4*a[2]]*f[b[5]*c[1]]*f[a[3]*b[1]*c[2]])/
   10460353203 - (228966400*f[a[2]^3]*f[b[5]*c[1]]*f[a[3]*b[1]*c[2]])/
   3486784401 - (281804800*f[a[1]*a[2]*a[3]]*f[b[5]*c[1]]*
     f[a[3]*b[1]*c[2]])/10460353203 - 
  (345210880*f[a[4]]*f[b[5]*c[1]]*f[a[3]*b[1]*c[2]])/1162261467 + 
  (1726054400*f[a[1]^2*a[4]]*f[b[5]*c[1]]*f[a[3]*b[1]*c[2]])/
   31381059609 + (11189411840*f[a[6]]*f[b[5]*c[1]]*f[a[3]*b[1]*c[2]])/
   94143178827 - (660889600*f[a[2]*b[1]*c[1]]*f[b[5]*c[1]]*
     f[a[3]*b[1]*c[2]])/3486784401 + 
  (3304448000*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[5]*c[1]]*f[a[3]*b[1]*c[2]])/
   94143178827 - (25906872320*f[a[4]*b[1]*c[1]]*f[b[5]*c[1]]*
     f[a[3]*b[1]*c[2]])/94143178827 + 
  (116654080*f[a[1]*b[2]*c[1]]*f[b[5]*c[1]]*f[a[3]*b[1]*c[2]])/
   3486784401 - (583270400*f[a[1]^3*b[2]*c[1]]*f[b[5]*c[1]]*
     f[a[3]*b[1]*c[2]])/31381059609 - 
  (75008573440*f[a[3]*b[2]*c[1]]*f[b[5]*c[1]]*f[a[3]*b[1]*c[2]])/
   94143178827 - (1153433600*f[a[2]*b[3]*c[1]]*f[b[5]*c[1]]*
     f[a[3]*b[1]*c[2]])/10460353203 - 
  (1066926080*f[a[1]*b[4]*c[1]]*f[b[5]*c[1]]*f[a[3]*b[1]*c[2]])/
   282429536481 - (51200*f[a[1]]*f[b[1]*c[2]]*f[a[3]*b[1]*c[2]])/
   1594323 + (256000*f[a[1]^3]*f[b[1]*c[2]]*f[a[3]*b[1]*c[2]])/
   14348907 - (6400000*f[a[1]^5]*f[b[1]*c[2]]*f[a[3]*b[1]*c[2]])/
   387420489 - (1331200*f[a[1]*a[2]^2]*f[b[1]*c[2]]*f[a[3]*b[1]*c[2]])/
   387420489 + (32921600*f[a[3]]*f[b[1]*c[2]]*f[a[3]*b[1]*c[2]])/
   43046721 - (174438400*f[a[1]^2*a[3]]*f[b[1]*c[2]]*
     f[a[3]*b[1]*c[2]])/1162261467 - 
  (12032000*f[a[5]]*f[b[1]*c[2]]*f[a[3]*b[1]*c[2]])/387420489 - 
  (51200*f[a[1]*b[1]*c[1]]*f[b[1]*c[2]]*f[a[3]*b[1]*c[2]])/1594323 + 
  (256000*f[a[1]^3*b[1]*c[1]]*f[b[1]*c[2]]*f[a[3]*b[1]*c[2]])/
   14348907 + (32921600*f[a[3]*b[1]*c[1]]*f[b[1]*c[2]]*
     f[a[3]*b[1]*c[2]])/43046721 - 
  (5242880*f[a[1]*b[3]*c[1]]*f[b[1]*c[2]]*f[a[3]*b[1]*c[2]])/
   387420489 - (51200*f[1]*f[a[1]*b[1]*c[2]]*f[a[3]*b[1]*c[2]])/
   1594323 - (51200*f[a[1]^2]*f[a[1]*b[1]*c[2]]*f[a[3]*b[1]*c[2]])/
   1594323 + (15104000*f[a[1]^4]*f[a[1]*b[1]*c[2]]*f[a[3]*b[1]*c[2]])/
   387420489 - (582400000*f[a[1]^6]*f[a[1]*b[1]*c[2]]*
     f[a[3]*b[1]*c[2]])/10460353203 - 
  (44134400*f[a[2]^2]*f[a[1]*b[1]*c[2]]*f[a[3]*b[1]*c[2]])/129140163 + 
  (619417600*f[a[1]^2*a[2]^2]*f[a[1]*b[1]*c[2]]*f[a[3]*b[1]*c[2]])/
   10460353203 + (524288000*f[a[1]*a[3]]*f[a[1]*b[1]*c[2]]*
     f[a[3]*b[1]*c[2]])/1162261467 - 
  (2778726400*f[a[1]^3*a[3]]*f[a[1]*b[1]*c[2]]*f[a[3]*b[1]*c[2]])/
   10460353203 - (51200*f[a[3]^2]*f[a[1]*b[1]*c[2]]*f[a[3]*b[1]*c[2]])/
   531441 - (5242880000*f[a[2]*a[4]]*f[a[1]*b[1]*c[2]]*
     f[a[3]*b[1]*c[2]])/31381059609 - 
  (524288000*f[a[1]*a[5]]*f[a[1]*b[1]*c[2]]*f[a[3]*b[1]*c[2]])/
   31381059609 - (51200*f[b[1]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[a[3]*b[1]*c[2]])/1594323 - 
  (51200*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[1]*c[2]]*f[a[3]*b[1]*c[2]])/
   1594323 + (15104000*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[a[3]*b[1]*c[2]])/387420489 - 
  (44134400*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[1]*c[2]]*f[a[3]*b[1]*c[2]])/
   129140163 + (524288000*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[a[3]*b[1]*c[2]])/1162261467 - 
  (5242880*f[b[3]*c[1]]*f[a[1]*b[1]*c[2]]*f[a[3]*b[1]*c[2]])/
   387420489 - (5242880*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[a[3]*b[1]*c[2]])/387420489 + 
  (26214400*f[b[5]*c[1]]*f[a[1]*b[1]*c[2]]*f[a[3]*b[1]*c[2]])/
   31381059609 - (51200*f[a[1]]*f[a[1]^2*b[1]*c[2]]*f[a[3]*b[1]*c[2]])/
   1594323 - (19302400*f[a[1]^3]*f[a[1]^2*b[1]*c[2]]*
     f[a[3]*b[1]*c[2]])/387420489 + 
  (1137920000*f[a[1]^5]*f[a[1]^2*b[1]*c[2]]*f[a[3]*b[1]*c[2]])/
   10460353203 - (13110169600*f[a[1]*a[2]^2]*f[a[1]^2*b[1]*c[2]]*
     f[a[3]*b[1]*c[2]])/31381059609 - 
  (159692800*f[a[3]]*f[a[1]^2*b[1]*c[2]]*f[a[3]*b[1]*c[2]])/
   1162261467 + (5848729600*f[a[1]^2*a[3]]*f[a[1]^2*b[1]*c[2]]*
     f[a[3]*b[1]*c[2]])/10460353203 + 
  (73984000*f[a[5]]*f[a[1]^2*b[1]*c[2]]*f[a[3]*b[1]*c[2]])/
   31381059609 - (51200*f[a[1]*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]]*
     f[a[3]*b[1]*c[2]])/1594323 - 
  (19302400*f[a[1]^3*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]]*f[a[3]*b[1]*c[2]])/
   387420489 - (159692800*f[a[3]*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]]*
     f[a[3]*b[1]*c[2]])/1162261467 - 
  (5242880*f[a[1]*b[3]*c[1]]*f[a[1]^2*b[1]*c[2]]*f[a[3]*b[1]*c[2]])/
   387420489 + (256000*f[1]*f[a[1]^3*b[1]*c[2]]*f[a[3]*b[1]*c[2]])/
   14348907 - (19302400*f[a[1]^2]*f[a[1]^3*b[1]*c[2]]*
     f[a[3]*b[1]*c[2]])/387420489 - 
  (1117849600*f[a[1]^4]*f[a[1]^3*b[1]*c[2]]*f[a[3]*b[1]*c[2]])/
   10460353203 + (11674880000*f[a[1]^6]*f[a[1]^3*b[1]*c[2]]*
     f[a[3]*b[1]*c[2]])/31381059609 + 
  (1566617600*f[a[2]^2]*f[a[1]^3*b[1]*c[2]]*f[a[3]*b[1]*c[2]])/
   10460353203 - (74662400000*f[a[1]^2*a[2]^2]*f[a[1]^3*b[1]*c[2]]*
     f[a[3]*b[1]*c[2]])/94143178827 - 
  (2542796800*f[a[1]*a[3]]*f[a[1]^3*b[1]*c[2]]*f[a[3]*b[1]*c[2]])/
   10460353203 + (306420121600*f[a[1]^3*a[3]]*f[a[1]^3*b[1]*c[2]]*
     f[a[3]*b[1]*c[2]])/282429536481 + 
  (1653401600*f[a[3]^2]*f[a[1]^3*b[1]*c[2]]*f[a[3]*b[1]*c[2]])/
   31381059609 + (31247564800*f[a[2]*a[4]]*f[a[1]^3*b[1]*c[2]]*
     f[a[3]*b[1]*c[2]])/282429536481 + 
  (917504000*f[a[1]*a[5]]*f[a[1]^3*b[1]*c[2]]*f[a[3]*b[1]*c[2]])/
   282429536481 + (256000*f[b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[a[3]*b[1]*c[2]])/14348907 - 
  (19302400*f[a[1]^2*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*f[a[3]*b[1]*c[2]])/
   387420489 - (1117849600*f[a[1]^4*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[a[3]*b[1]*c[2]])/10460353203 + 
  (1566617600*f[a[2]^2*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[a[3]*b[1]*c[2]])/10460353203 - 
  (2542796800*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[a[3]*b[1]*c[2]])/10460353203 + 
  (26214400*f[b[3]*c[1]]*f[a[1]^3*b[1]*c[2]]*f[a[3]*b[1]*c[2]])/
   3486784401 - (1976565760*f[a[1]^2*b[3]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[a[3]*b[1]*c[2]])/94143178827 - 
  (131072000*f[b[5]*c[1]]*f[a[1]^3*b[1]*c[2]]*f[a[3]*b[1]*c[2]])/
   282429536481 + (26214400*f[a[1]*a[2]]*f[a[2]*b[1]*c[2]]*
     f[a[3]*b[1]*c[2]])/129140163 - 
  (131072000*f[a[1]^3*a[2]]*f[a[2]*b[1]*c[2]]*f[a[3]*b[1]*c[2]])/
   1162261467 - (5478809600*f[a[2]*a[3]]*f[a[2]*b[1]*c[2]]*
     f[a[3]*b[1]*c[2]])/10460353203 + 
  (7654604800*f[a[1]*a[4]]*f[a[2]*b[1]*c[2]]*f[a[3]*b[1]*c[2]])/
   31381059609 + (26214400*f[a[1]*a[2]*b[1]*c[1]]*f[a[2]*b[1]*c[2]]*
     f[a[3]*b[1]*c[2]])/129140163 + 
  (26214400*f[a[2]]*f[a[1]*a[2]*b[1]*c[2]]*f[a[3]*b[1]*c[2]])/
   129140163 + (6789529600*f[a[1]^2*a[2]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[3]*b[1]*c[2]])/31381059609 - 
  (73793536000*f[a[1]^4*a[2]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[3]*b[1]*c[2]])/282429536481 + 
  (35599155200*f[a[2]^3]*f[a[1]*a[2]*b[1]*c[2]]*f[a[3]*b[1]*c[2]])/
   31381059609 - (377067929600*f[a[1]*a[2]*a[3]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[3]*b[1]*c[2]])/847288609443 - 
  (2411724800*f[a[4]]*f[a[1]*a[2]*b[1]*c[2]]*f[a[3]*b[1]*c[2]])/
   31381059609 + (9332326400*f[a[1]^2*a[4]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[3]*b[1]*c[2]])/31381059609 + 
  (5059379200*f[a[6]]*f[a[1]*a[2]*b[1]*c[2]]*f[a[3]*b[1]*c[2]])/
   94143178827 + (26214400*f[a[2]*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[3]*b[1]*c[2]])/129140163 + 
  (6789529600*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[3]*b[1]*c[2]])/31381059609 - 
  (2411724800*f[a[4]*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[3]*b[1]*c[2]])/31381059609 + 
  (2684354560*f[a[2]*b[3]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[3]*b[1]*c[2]])/31381059609 + 
  (16460800*f[1]*f[a[3]*b[1]*c[2]]^2)/43046721 - 
  (79846400*f[a[1]^2]*f[a[3]*b[1]*c[2]]^2)/1162261467 + 
  (386944000*f[a[1]^4]*f[a[3]*b[1]*c[2]]^2)/10460353203 - 
  (9366400000*f[a[1]^6]*f[a[3]*b[1]*c[2]]^2)/282429536481 - 
  (2521139200*f[a[2]^2]*f[a[3]*b[1]*c[2]]^2)/10460353203 + 
  (12669593600*f[a[1]^2*a[2]^2]*f[a[3]*b[1]*c[2]]^2)/282429536481 + 
  (26214400*f[a[1]^3*a[3]]*f[a[3]*b[1]*c[2]]^2)/31381059609 + 
  (16460800*f[a[3]^2]*f[a[3]*b[1]*c[2]]^2)/14348907 - 
  (380528230400*f[a[2]*a[4]]*f[a[3]*b[1]*c[2]]^2)/847288609443 - 
  (32505856000*f[a[1]*a[5]]*f[a[3]*b[1]*c[2]]^2)/847288609443 + 
  (16460800*f[b[1]*c[1]]*f[a[3]*b[1]*c[2]]^2)/43046721 - 
  (79846400*f[a[1]^2*b[1]*c[1]]*f[a[3]*b[1]*c[2]]^2)/1162261467 + 
  (386944000*f[a[1]^4*b[1]*c[1]]*f[a[3]*b[1]*c[2]]^2)/10460353203 - 
  (2521139200*f[a[2]^2*b[1]*c[1]]*f[a[3]*b[1]*c[2]]^2)/10460353203 + 
  (1685585920*f[b[3]*c[1]]*f[a[3]*b[1]*c[2]]^2)/10460353203 - 
  (8176271360*f[a[1]^2*b[3]*c[1]]*f[a[3]*b[1]*c[2]]^2)/282429536481 - 
  (8427929600*f[b[5]*c[1]]*f[a[3]*b[1]*c[2]]^2)/847288609443 - 
  (19*f[1]^2*f[b[2]*c[2]])/81 - (304*f[a[1]]^2*f[b[2]*c[2]])/2187 + 
  (190*f[1]*f[a[1]^2]*f[b[2]*c[2]])/2187 - 
  (3401*f[a[1]^2]^2*f[b[2]*c[2]])/19683 + 
  (3040*f[a[1]]*f[a[1]^3]*f[b[2]*c[2]])/19683 - 
  (178448*f[a[1]^3]^2*f[b[2]*c[2]])/531441 - 
  (950*f[1]*f[a[1]^4]*f[b[2]*c[2]])/19683 + 
  (199310*f[a[1]^2]*f[a[1]^4]*f[b[2]*c[2]])/531441 - 
  (12915497*f[a[1]^4]^2*f[b[2]*c[2]])/14348907 - 
  (76000*f[a[1]]*f[a[1]^5]*f[b[2]*c[2]])/531441 + 
  (16704800*f[a[1]^3]*f[a[1]^5]*f[b[2]*c[2]])/14348907 - 
  (400095920*f[a[1]^5]^2*f[b[2]*c[2]])/129140163 + 
  (23750*f[1]*f[a[1]^6]*f[b[2]*c[2]])/531441 - 
  (7414750*f[a[1]^2]*f[a[1]^6]*f[b[2]*c[2]])/14348907 + 
  (63514150*f[a[1]^4]*f[a[1]^6]*f[b[2]*c[2]])/14348907 - 
  (15184850065*f[a[1]^6]^2*f[b[2]*c[2]])/1162261467 + 
  (4864*f[a[2]]^2*f[b[2]*c[2]])/19683 + 
  (311296*f[a[1]*a[2]]^2*f[b[2]*c[2]])/1594323 - 
  (48640*f[a[2]]*f[a[1]^2*a[2]]*f[b[2]*c[2]])/531441 + 
  (12816640*f[a[1]^2*a[2]]^2*f[b[2]*c[2]])/43046721 - 
  (3112960*f[a[1]*a[2]]*f[a[1]^3*a[2]]*f[b[2]*c[2]])/14348907 + 
  (87474176*f[a[1]^3*a[2]]^2*f[b[2]*c[2]])/129140163 + 
  (243200*f[a[2]]*f[a[1]^4*a[2]]*f[b[2]*c[2]])/4782969 - 
  (252684800*f[a[1]^2*a[2]]*f[a[1]^4*a[2]]*f[b[2]*c[2]])/387420489 + 
  (21613869824*f[a[1]^4*a[2]]^2*f[b[2]*c[2]])/10460353203 - 
  (988*f[1]*f[a[2]^2]*f[b[2]*c[2]])/19683 - 
  (296476*f[a[1]^2]*f[a[2]^2]*f[b[2]*c[2]])/1594323 + 
  (3038860*f[a[1]^4]*f[a[2]^2]*f[b[2]*c[2]])/14348907 - 
  (38294500*f[a[1]^6]*f[a[2]^2]*f[b[2]*c[2]])/129140163 - 
  (834404*f[a[2]^2]^2*f[b[2]*c[2]])/1594323 - 
  (15808*f[a[1]]*f[a[1]*a[2]^2]*f[b[2]*c[2]])/531441 - 
  (4743616*f[a[1]^3]*f[a[1]*a[2]^2]*f[b[2]*c[2]])/14348907 + 
  (243108800*f[a[1]^5]*f[a[1]*a[2]^2]*f[b[2]*c[2]])/387420489 - 
  (199845952*f[a[1]*a[2]^2]^2*f[b[2]*c[2]])/387420489 + 
  (4940*f[1]*f[a[1]^2*a[2]^2]*f[b[2]*c[2]])/531441 - 
  (35188*f[a[1]^2]*f[a[1]^2*a[2]^2]*f[b[2]*c[2]])/43046721 - 
  (35420636*f[a[1]^4]*f[a[1]^2*a[2]^2]*f[b[2]*c[2]])/43046721 + 
  (2656984700*f[a[1]^6]*f[a[1]^2*a[2]^2]*f[b[2]*c[2]])/1162261467 + 
  (67002664*f[a[2]^2]*f[a[1]^2*a[2]^2]*f[b[2]*c[2]])/387420489 - 
  (28552507564*f[a[1]^2*a[2]^2]^2*f[b[2]*c[2]])/31381059609 + 
  (252928*f[a[2]]*f[a[2]^3]*f[b[2]*c[2]])/1594323 + 
  (75897856*f[a[1]^2*a[2]]*f[a[2]^3]*f[b[2]*c[2]])/129140163 - 
  (777948160*f[a[1]^4*a[2]]*f[a[2]^3]*f[b[2]*c[2]])/1162261467 + 
  (647398400*f[a[2]^3]^2*f[b[2]*c[2]])/387420489 + 
  (608*f[a[1]]*f[a[3]]*f[b[2]*c[2]])/19683 - 
  (3040*f[a[1]^3]*f[a[3]]*f[b[2]*c[2]])/177147 + 
  (76000*f[a[1]^5]*f[a[3]]*f[b[2]*c[2]])/4782969 + 
  (15808*f[a[1]*a[2]^2]*f[a[3]]*f[b[2]*c[2]])/4782969 - 
  (195472*f[a[3]]^2*f[b[2]*c[2]])/531441 - 
  (1216*f[1]*f[a[1]*a[3]]*f[b[2]*c[2]])/19683 + 
  (8512*f[a[1]^2]*f[a[1]*a[3]]*f[b[2]*c[2]])/177147 - 
  (224960*f[a[1]^4]*f[a[1]*a[3]]*f[b[2]*c[2]])/4782969 + 
  (8056000*f[a[1]^6]*f[a[1]*a[3]]*f[b[2]*c[2]])/129140163 - 
  (1588096*f[a[2]^2]*f[a[1]*a[3]]*f[b[2]*c[2]])/4782969 + 
  (8446336*f[a[1]^2*a[2]^2]*f[a[1]*a[3]]*f[b[2]*c[2]])/129140163 - 
  (3200512*f[a[1]*a[3]]^2*f[b[2]*c[2]])/14348907 - 
  (13984*f[a[1]]*f[a[1]^2*a[3]]*f[b[2]*c[2]])/177147 + 
  (521056*f[a[1]^3]*f[a[1]^2*a[3]]*f[b[2]*c[2]])/4782969 - 
  (20808800*f[a[1]^5]*f[a[1]^2*a[3]]*f[b[2]*c[2]])/129140163 - 
  (147713600*f[a[1]*a[2]^2]*f[a[1]^2*a[3]]*f[b[2]*c[2]])/387420489 + 
  (2071456*f[a[3]]*f[a[1]^2*a[3]]*f[b[2]*c[2]])/14348907 - 
  (36740528*f[a[1]^2*a[3]]^2*f[b[2]*c[2]])/129140163 + 
  (6080*f[1]*f[a[1]^3*a[3]]*f[b[2]*c[2]])/177147 - 
  (750272*f[a[1]^2]*f[a[1]^3*a[3]]*f[b[2]*c[2]])/4782969 + 
  (41975104*f[a[1]^4]*f[a[1]^3*a[3]]*f[b[2]*c[2]])/129140163 - 
  (85758400*f[a[1]^6]*f[a[1]^3*a[3]]*f[b[2]*c[2]])/129140163 + 
  (13859968*f[a[2]^2]*f[a[1]^3*a[3]]*f[b[2]*c[2]])/129140163 - 
  (785606528*f[a[1]^2*a[2]^2]*f[a[1]^3*a[3]]*f[b[2]*c[2]])/1162261467 + 
  (33872896*f[a[1]*a[3]]*f[a[1]^3*a[3]]*f[b[2]*c[2]])/129140163 - 
  (1981428224*f[a[1]^3*a[3]]^2*f[b[2]*c[2]])/3486784401 + 
  (622592*f[a[1]*a[2]]*f[a[2]*a[3]]*f[b[2]*c[2]])/4782969 - 
  (3112960*f[a[1]^3*a[2]]*f[a[2]*a[3]]*f[b[2]*c[2]])/43046721 + 
  (67551232*f[a[2]*a[3]]^2*f[b[2]*c[2]])/129140163 + 
  (311296*f[a[2]]*f[a[1]*a[2]*a[3]]*f[b[2]*c[2]])/4782969 + 
  (50118656*f[a[1]^2*a[2]]*f[a[1]*a[2]*a[3]]*f[b[2]*c[2]])/387420489 - 
  (524533760*f[a[1]^4*a[2]]*f[a[1]*a[2]*a[3]]*f[b[2]*c[2]])/
   3486784401 + (406552576*f[a[2]^3]*f[a[1]*a[2]*a[3]]*f[b[2]*c[2]])/
   387420489 + (3987079168*f[a[1]*a[2]*a[3]]^2*f[b[2]*c[2]])/
   10460353203 + (33934*f[1]*f[a[3]^2]*f[b[2]*c[2]])/531441 - 
  (228038*f[a[1]^2]*f[a[3]^2]*f[b[2]*c[2]])/14348907 + 
  (1432030*f[a[1]^4]*f[a[3]^2]*f[b[2]*c[2]])/129140163 - 
  (43096750*f[a[1]^6]*f[a[3]^2]*f[b[2]*c[2]])/3486784401 - 
  (69159316*f[a[2]^2]*f[a[3]^2]*f[b[2]*c[2]])/129140163 + 
  (344279012*f[a[1]^2*a[2]^2]*f[a[3]^2]*f[b[2]*c[2]])/3486784401 + 
  (4532032*f[a[1]*a[3]]*f[a[3]^2]*f[b[2]*c[2]])/43046721 - 
  (23282752*f[a[1]^3*a[3]]*f[a[3]^2]*f[b[2]*c[2]])/387420489 - 
  (1345727801*f[a[3]^2]^2*f[b[2]*c[2]])/1162261467 - 
  (38912*f[a[2]]*f[a[4]]*f[b[2]*c[2]])/1594323 + 
  (194560*f[a[1]^2*a[2]]*f[a[4]]*f[b[2]*c[2]])/43046721 - 
  (972800*f[a[1]^4*a[2]]*f[a[4]]*f[b[2]*c[2]])/387420489 - 
  (1011712*f[a[2]^3]*f[a[4]]*f[b[2]*c[2]])/129140163 - 
  (1245184*f[a[1]*a[2]*a[3]]*f[a[4]]*f[b[2]*c[2]])/387420489 + 
  (6926336*f[a[4]]^2*f[b[2]*c[2]])/14348907 - 
  (2490368*f[a[1]*a[2]]*f[a[1]*a[4]]*f[b[2]*c[2]])/43046721 + 
  (12451840*f[a[1]^3*a[2]]*f[a[1]*a[4]]*f[b[2]*c[2]])/387420489 + 
  (92143616*f[a[2]*a[3]]*f[a[1]*a[4]]*f[b[2]*c[2]])/387420489 + 
  (114556928*f[a[1]*a[4]]^2*f[b[2]*c[2]])/387420489 + 
  (194560*f[a[2]]*f[a[1]^2*a[4]]*f[b[2]*c[2]])/43046721 - 
  (15603712*f[a[1]^2*a[2]]*f[a[1]^2*a[4]]*f[b[2]*c[2]])/129140163 + 
  (1399470080*f[a[1]^4*a[2]]*f[a[1]^2*a[4]]*f[b[2]*c[2]])/10460353203 - 
  (303591424*f[a[2]^3]*f[a[1]^2*a[4]]*f[b[2]*c[2]])/10460353203 + 
  (334954496*f[a[1]*a[2]*a[3]]*f[a[1]^2*a[4]]*f[b[2]*c[2]])/
   1162261467 - (69263360*f[a[4]]*f[a[1]^2*a[4]]*f[b[2]*c[2]])/
   387420489 + (1319505920*f[a[1]^2*a[4]]^2*f[b[2]*c[2]])/3486784401 + 
  (77824*f[1]*f[a[2]*a[4]]*f[b[2]*c[2]])/1594323 + 
  (3346432*f[a[1]^2]*f[a[2]*a[4]]*f[b[2]*c[2]])/43046721 - 
  (35409920*f[a[1]^4]*f[a[2]*a[4]]*f[b[2]*c[2]])/387420489 + 
  (1352192000*f[a[1]^6]*f[a[2]*a[4]]*f[b[2]*c[2]])/10460353203 + 
  (7315456*f[a[2]^2]*f[a[2]*a[4]]*f[b[2]*c[2]])/129140163 - 
  (155648*f[a[1]^2*a[2]^2]*f[a[2]*a[4]]*f[b[2]*c[2]])/129140163 - 
  (61014016*f[a[1]*a[3]]*f[a[2]*a[4]]*f[b[2]*c[2]])/387420489 + 
  (424607744*f[a[1]^3*a[3]]*f[a[2]*a[4]]*f[b[2]*c[2]])/3486784401 - 
  (8306388992*f[a[3]^2]*f[a[2]*a[4]]*f[b[2]*c[2]])/10460353203 - 
  (16057892864*f[a[2]*a[4]]^2*f[b[2]*c[2]])/31381059609 - 
  (39520*f[a[1]]*f[a[5]]*f[b[2]*c[2]])/1594323 + 
  (197600*f[a[1]^3]*f[a[5]]*f[b[2]*c[2]])/14348907 - 
  (4940000*f[a[1]^5]*f[a[5]]*f[b[2]*c[2]])/387420489 - 
  (1027520*f[a[1]*a[2]^2]*f[a[5]]*f[b[2]*c[2]])/387420489 + 
  (142880*f[a[3]]*f[a[5]]*f[b[2]*c[2]])/4782969 - 
  (4672480*f[a[1]^2*a[3]]*f[a[5]]*f[b[2]*c[2]])/387420489 - 
  (77685680*f[a[5]]^2*f[b[2]*c[2]])/129140163 + 
  (79040*f[1]*f[a[1]*a[5]]*f[b[2]*c[2]])/1594323 - 
  (553280*f[a[1]^2]*f[a[1]*a[5]]*f[b[2]*c[2]])/14348907 + 
  (14622400*f[a[1]^4]*f[a[1]*a[5]]*f[b[2]*c[2]])/387420489 - 
  (523640000*f[a[1]^6]*f[a[1]*a[5]]*f[b[2]*c[2]])/10460353203 + 
  (53418880*f[a[2]^2]*f[a[1]*a[5]]*f[b[2]*c[2]])/387420489 - 
  (33330560*f[a[1]^2*a[2]^2]*f[a[1]*a[5]]*f[b[2]*c[2]])/1162261467 + 
  (10019840*f[a[1]*a[3]]*f[a[1]*a[5]]*f[b[2]*c[2]])/387420489 - 
  (90567680*f[a[1]^3*a[3]]*f[a[1]*a[5]]*f[b[2]*c[2]])/3486784401 - 
  (111732160*f[a[3]^2]*f[a[1]*a[5]]*f[b[2]*c[2]])/10460353203 - 
  (10577838080*f[a[2]*a[4]]*f[a[1]*a[5]]*f[b[2]*c[2]])/31381059609 - 
  (11289489920*f[a[1]*a[5]]^2*f[b[2]*c[2]])/31381059609 + 
  (107008*f[a[2]]*f[a[6]]*f[b[2]*c[2]])/4782969 - 
  (535040*f[a[1]^2*a[2]]*f[a[6]]*f[b[2]*c[2]])/129140163 + 
  (2675200*f[a[1]^4*a[2]]*f[a[6]]*f[b[2]*c[2]])/1162261467 + 
  (2782208*f[a[2]^3]*f[a[6]]*f[b[2]*c[2]])/387420489 + 
  (3424256*f[a[1]*a[2]*a[3]]*f[a[6]]*f[b[2]*c[2]])/1162261467 - 
  (3463168*f[a[4]]*f[a[6]]*f[b[2]*c[2]])/129140163 + 
  (17315840*f[a[1]^2*a[4]]*f[a[6]]*f[b[2]*c[2]])/3486784401 + 
  (2502095104*f[a[6]]^2*f[b[2]*c[2]])/3486784401 - 
  (7654*f[1]*f[b[1]*c[1]]*f[b[2]*c[2]])/6561 + 
  (38270*f[a[1]^2]*f[b[1]*c[1]]*f[b[2]*c[2]])/177147 - 
  (191350*f[a[1]^4]*f[b[1]*c[1]]*f[b[2]*c[2]])/1594323 + 
  (4783750*f[a[1]^6]*f[b[1]*c[1]]*f[b[2]*c[2]])/43046721 - 
  (199004*f[a[2]^2]*f[b[1]*c[1]]*f[b[2]*c[2]])/1594323 + 
  (995020*f[a[1]^2*a[2]^2]*f[b[1]*c[1]]*f[b[2]*c[2]])/43046721 - 
  (244928*f[a[1]*a[3]]*f[b[1]*c[1]]*f[b[2]*c[2]])/1594323 + 
  (1224640*f[a[1]^3*a[3]]*f[b[1]*c[1]]*f[b[2]*c[2]])/14348907 + 
  (6835022*f[a[3]^2]*f[b[1]*c[1]]*f[b[2]*c[2]])/43046721 + 
  (15675392*f[a[2]*a[4]]*f[b[1]*c[1]]*f[b[2]*c[2]])/129140163 + 
  (15920320*f[a[1]*a[5]]*f[b[1]*c[1]]*f[b[2]*c[2]])/129140163 - 
  (124849*f[b[1]*c[1]]^2*f[b[2]*c[2]])/177147 - 
  (122464*f[a[1]]*f[a[1]*b[1]*c[1]]*f[b[2]*c[2]])/177147 + 
  (612320*f[a[1]^3]*f[a[1]*b[1]*c[1]]*f[b[2]*c[2]])/1594323 - 
  (15308000*f[a[1]^5]*f[a[1]*b[1]*c[1]]*f[b[2]*c[2]])/43046721 - 
  (3184064*f[a[1]*a[2]^2]*f[a[1]*b[1]*c[1]]*f[b[2]*c[2]])/43046721 + 
  (122464*f[a[3]]*f[a[1]*b[1]*c[1]]*f[b[2]*c[2]])/1594323 - 
  (2816672*f[a[1]^2*a[3]]*f[a[1]*b[1]*c[1]]*f[b[2]*c[2]])/14348907 - 
  (7960160*f[a[5]]*f[a[1]*b[1]*c[1]]*f[b[2]*c[2]])/129140163 - 
  (1997584*f[a[1]*b[1]*c[1]]^2*f[b[2]*c[2]])/4782969 + 
  (38270*f[1]*f[a[1]^2*b[1]*c[1]]*f[b[2]*c[2]])/177147 - 
  (1370066*f[a[1]^2]*f[a[1]^2*b[1]*c[1]]*f[b[2]*c[2]])/1594323 + 
  (40145230*f[a[1]^4]*f[a[1]^2*b[1]*c[1]]*f[b[2]*c[2]])/43046721 - 
  (1493486750*f[a[1]^6]*f[a[1]^2*b[1]*c[1]]*f[b[2]*c[2]])/1162261467 - 
  (59716508*f[a[2]^2]*f[a[1]^2*b[1]*c[1]]*f[b[2]*c[2]])/129140163 - 
  (7087604*f[a[1]^2*a[2]^2]*f[a[1]^2*b[1]*c[1]]*f[b[2]*c[2]])/
   3486784401 + (1714496*f[a[1]*a[3]]*f[a[1]^2*b[1]*c[1]]*
     f[b[2]*c[2]])/14348907 - 
  (151120576*f[a[1]^3*a[3]]*f[a[1]^2*b[1]*c[1]]*f[b[2]*c[2]])/
   387420489 - (45931654*f[a[3]^2]*f[a[1]^2*b[1]*c[1]]*f[b[2]*c[2]])/
   1162261467 + (674041856*f[a[2]*a[4]]*f[a[1]^2*b[1]*c[1]]*
     f[b[2]*c[2]])/3486784401 - 
  (111442240*f[a[1]*a[5]]*f[a[1]^2*b[1]*c[1]]*f[b[2]*c[2]])/
   1162261467 + (1248490*f[b[1]*c[1]]*f[a[1]^2*b[1]*c[1]]*
     f[b[2]*c[2]])/4782969 - (22347971*f[a[1]^2*b[1]*c[1]]^2*
     f[b[2]*c[2]])/43046721 + 
  (612320*f[a[1]]*f[a[1]^3*b[1]*c[1]]*f[b[2]*c[2]])/1594323 - 
  (71886368*f[a[1]^3]*f[a[1]^3*b[1]*c[1]]*f[b[2]*c[2]])/43046721 + 
  (3364698400*f[a[1]^5]*f[a[1]^3*b[1]*c[1]]*f[b[2]*c[2]])/1162261467 - 
  (955464128*f[a[1]*a[2]^2]*f[a[1]^3*b[1]*c[1]]*f[b[2]*c[2]])/
   1162261467 - (612320*f[a[3]]*f[a[1]^3*b[1]*c[1]]*f[b[2]*c[2]])/
   14348907 + (104951648*f[a[1]^2*a[3]]*f[a[1]^3*b[1]*c[1]]*
     f[b[2]*c[2]])/387420489 + 
  (39800800*f[a[5]]*f[a[1]^3*b[1]*c[1]]*f[b[2]*c[2]])/1162261467 + 
  (19975840*f[a[1]*b[1]*c[1]]*f[a[1]^3*b[1]*c[1]]*f[b[2]*c[2]])/
   43046721 - (1172581808*f[a[1]^3*b[1]*c[1]]^2*f[b[2]*c[2]])/
   1162261467 - (191350*f[1]*f[a[1]^4*b[1]*c[1]]*f[b[2]*c[2]])/
   1594323 + (40145230*f[a[1]^2]*f[a[1]^4*b[1]*c[1]]*f[b[2]*c[2]])/
   43046721 - (5202906002*f[a[1]^4]*f[a[1]^4*b[1]*c[1]]*f[b[2]*c[2]])/
   1162261467 + (12793086950*f[a[1]^6]*f[a[1]^4*b[1]*c[1]]*
     f[b[2]*c[2]])/1162261467 + 
  (612090380*f[a[2]^2]*f[a[1]^4*b[1]*c[1]]*f[b[2]*c[2]])/1162261467 - 
  (7134461788*f[a[1]^2*a[2]^2]*f[a[1]^4*b[1]*c[1]]*f[b[2]*c[2]])/
   3486784401 - (45311680*f[a[1]*a[3]]*f[a[1]^4*b[1]*c[1]]*
     f[b[2]*c[2]])/387420489 + 
  (8454669632*f[a[1]^3*a[3]]*f[a[1]^4*b[1]*c[1]]*f[b[2]*c[2]])/
   10460353203 + (288440990*f[a[3]^2]*f[a[1]^4*b[1]*c[1]]*
     f[b[2]*c[2]])/10460353203 - 
  (7132303360*f[a[2]*a[4]]*f[a[1]^4*b[1]*c[1]]*f[b[2]*c[2]])/
   31381059609 + (2945259200*f[a[1]*a[5]]*f[a[1]^4*b[1]*c[1]]*
     f[b[2]*c[2]])/31381059609 - 
  (6242450*f[b[1]*c[1]]*f[a[1]^4*b[1]*c[1]]*f[b[2]*c[2]])/43046721 + 
  (1309666010*f[a[1]^2*b[1]*c[1]]*f[a[1]^4*b[1]*c[1]]*f[b[2]*c[2]])/
   1162261467 - (84867730787*f[a[1]^4*b[1]*c[1]]^2*f[b[2]*c[2]])/
   31381059609 + (1959424*f[a[2]]*f[a[2]*b[1]*c[1]]*f[b[2]*c[2]])/
   1594323 - (9797120*f[a[1]^2*a[2]]*f[a[2]*b[1]*c[1]]*f[b[2]*c[2]])/
   43046721 + (48985600*f[a[1]^4*a[2]]*f[a[2]*b[1]*c[1]]*f[b[2]*c[2]])/
   387420489 + (50945024*f[a[2]^3]*f[a[2]*b[1]*c[1]]*f[b[2]*c[2]])/
   129140163 + (62701568*f[a[1]*a[2]*a[3]]*f[a[2]*b[1]*c[1]]*
     f[b[2]*c[2]])/387420489 - 
  (7837696*f[a[4]]*f[a[2]*b[1]*c[1]]*f[b[2]*c[2]])/129140163 + 
  (39188480*f[a[1]^2*a[4]]*f[a[2]*b[1]*c[1]]*f[b[2]*c[2]])/3486784401 + 
  (21553664*f[a[6]]*f[a[2]*b[1]*c[1]]*f[b[2]*c[2]])/387420489 + 
  (31961344*f[a[2]*b[1]*c[1]]^2*f[b[2]*c[2]])/43046721 + 
  (125403136*f[a[1]*a[2]]*f[a[1]*a[2]*b[1]*c[1]]*f[b[2]*c[2]])/
   129140163 - (627015680*f[a[1]^3*a[2]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[b[2]*c[2]])/1162261467 + 
  (125403136*f[a[2]*a[3]]*f[a[1]*a[2]*b[1]*c[1]]*f[b[2]*c[2]])/
   387420489 - (501612544*f[a[1]*a[4]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[b[2]*c[2]])/3486784401 + 
  (2045526016*f[a[1]*a[2]*b[1]*c[1]]^2*f[b[2]*c[2]])/3486784401 - 
  (9797120*f[a[2]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[2]*c[2]])/43046721 + 
  (5163082240*f[a[1]^2*a[2]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[2]*c[2]])/
   3486784401 - (50896038400*f[a[1]^4*a[2]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[b[2]*c[2]])/31381059609 + 
  (15287426048*f[a[2]^3]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[2]*c[2]])/
   10460353203 + (10094952448*f[a[1]*a[2]*a[3]]*
     f[a[1]^2*a[2]*b[1]*c[1]]*f[b[2]*c[2]])/31381059609 + 
  (39188480*f[a[4]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[2]*c[2]])/3486784401 - 
  (3142916096*f[a[1]^2*a[4]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[2]*c[2]])/
   10460353203 - (107768320*f[a[6]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[b[2]*c[2]])/10460353203 - 
  (319613440*f[a[2]*b[1]*c[1]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[2]*c[2]])/
   1162261467 + (84218141440*f[a[1]^2*a[2]*b[1]*c[1]]^2*f[b[2]*c[2]])/
   94143178827 - (199004*f[1]*f[a[2]^2*b[1]*c[1]]*f[b[2]*c[2]])/
   1594323 - (59716508*f[a[1]^2]*f[a[2]^2*b[1]*c[1]]*f[b[2]*c[2]])/
   129140163 + (612090380*f[a[1]^4]*f[a[2]^2*b[1]*c[1]]*f[b[2]*c[2]])/
   1162261467 - (7713318500*f[a[1]^6]*f[a[2]^2*b[1]*c[1]]*
     f[b[2]*c[2]])/10460353203 - 
  (336133064*f[a[2]^2]*f[a[2]^2*b[1]*c[1]]*f[b[2]*c[2]])/129140163 + 
  (13495747112*f[a[1]^2*a[2]^2]*f[a[2]^2*b[1]*c[1]]*f[b[2]*c[2]])/
   31381059609 - (319875968*f[a[1]*a[3]]*f[a[2]^2*b[1]*c[1]]*
     f[b[2]*c[2]])/387420489 + 
  (2791689344*f[a[1]^3*a[3]]*f[a[2]^2*b[1]*c[1]]*f[b[2]*c[2]])/
   10460353203 - (13930142228*f[a[3]^2]*f[a[2]^2*b[1]*c[1]]*
     f[b[2]*c[2]])/10460353203 + 
  (1473486848*f[a[2]*a[4]]*f[a[2]^2*b[1]*c[1]]*f[b[2]*c[2]])/
   10460353203 + (10759687040*f[a[1]*a[5]]*f[a[2]^2*b[1]*c[1]]*
     f[b[2]*c[2]])/31381059609 - 
  (6492148*f[b[1]*c[1]]*f[a[2]^2*b[1]*c[1]]*f[b[2]*c[2]])/43046721 - 
  (1948143796*f[a[1]^2*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]]*f[b[2]*c[2]])/
   3486784401 + (19968349060*f[a[1]^4*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]]*
     f[b[2]*c[2]])/31381059609 - 
  (5482868684*f[a[2]^2*b[1]*c[1]]^2*f[b[2]*c[2]])/3486784401 + 
  (122464*f[a[1]]*f[a[3]*b[1]*c[1]]*f[b[2]*c[2]])/1594323 - 
  (612320*f[a[1]^3]*f[a[3]*b[1]*c[1]]*f[b[2]*c[2]])/14348907 + 
  (15308000*f[a[1]^5]*f[a[3]*b[1]*c[1]]*f[b[2]*c[2]])/387420489 + 
  (3184064*f[a[1]*a[2]^2]*f[a[3]*b[1]*c[1]]*f[b[2]*c[2]])/387420489 - 
  (78744352*f[a[3]]*f[a[3]*b[1]*c[1]]*f[b[2]*c[2]])/43046721 + 
  (417234848*f[a[1]^2*a[3]]*f[a[3]*b[1]*c[1]]*f[b[2]*c[2]])/
   1162261467 + (28779040*f[a[5]]*f[a[3]*b[1]*c[1]]*f[b[2]*c[2]])/
   387420489 + (3995168*f[a[1]*b[1]*c[1]]*f[a[3]*b[1]*c[1]]*
     f[b[2]*c[2]])/43046721 - 
  (19975840*f[a[1]^3*b[1]*c[1]]*f[a[3]*b[1]*c[1]]*f[b[2]*c[2]])/
   387420489 - (1284446512*f[a[3]*b[1]*c[1]]^2*f[b[2]*c[2]])/1162261467 - 
  (244928*f[1]*f[a[1]*a[3]*b[1]*c[1]]*f[b[2]*c[2]])/1594323 + 
  (1714496*f[a[1]^2]*f[a[1]*a[3]*b[1]*c[1]]*f[b[2]*c[2]])/14348907 - 
  (45311680*f[a[1]^4]*f[a[1]*a[3]*b[1]*c[1]]*f[b[2]*c[2]])/387420489 + 
  (1622648000*f[a[1]^6]*f[a[1]*a[3]*b[1]*c[1]]*f[b[2]*c[2]])/
   10460353203 - (319875968*f[a[2]^2]*f[a[1]*a[3]*b[1]*c[1]]*
     f[b[2]*c[2]])/387420489 + 
  (1701269888*f[a[1]^2*a[2]^2]*f[a[1]*a[3]*b[1]*c[1]]*f[b[2]*c[2]])/
   10460353203 - (1289300992*f[a[1]*a[3]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[b[2]*c[2]])/1162261467 + 
  (6822714368*f[a[1]^3*a[3]]*f[a[1]*a[3]*b[1]*c[1]]*f[b[2]*c[2]])/
   10460353203 + (912846656*f[a[3]^2]*f[a[1]*a[3]*b[1]*c[1]]*
     f[b[2]*c[2]])/3486784401 - 
  (12289507328*f[a[2]*a[4]]*f[a[1]*a[3]*b[1]*c[1]]*f[b[2]*c[2]])/
   31381059609 + (2018206720*f[a[1]*a[5]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[b[2]*c[2]])/31381059609 - 
  (7990336*f[b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]]*f[b[2]*c[2]])/43046721 + 
  (55932352*f[a[1]^2*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]]*f[b[2]*c[2]])/
   387420489 - (1478212160*f[a[1]^4*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[b[2]*c[2]])/10460353203 - 
  (10435378816*f[a[2]^2*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[b[2]*c[2]])/10460353203 - 
  (21030564352*f[a[1]*a[3]*b[1]*c[1]]^2*f[b[2]*c[2]])/31381059609 - 
  (7837696*f[a[2]]*f[a[4]*b[1]*c[1]]*f[b[2]*c[2]])/129140163 + 
  (39188480*f[a[1]^2*a[2]]*f[a[4]*b[1]*c[1]]*f[b[2]*c[2]])/3486784401 - 
  (195942400*f[a[1]^4*a[2]]*f[a[4]*b[1]*c[1]]*f[b[2]*c[2]])/
   31381059609 - (203780096*f[a[2]^3]*f[a[4]*b[1]*c[1]]*f[b[2]*c[2]])/
   10460353203 - (250806272*f[a[1]*a[2]*a[3]]*f[a[4]*b[1]*c[1]]*
     f[b[2]*c[2]])/31381059609 + 
  (2790219776*f[a[4]]*f[a[4]*b[1]*c[1]]*f[b[2]*c[2]])/1162261467 - 
  (13951098880*f[a[1]^2*a[4]]*f[a[4]*b[1]*c[1]]*f[b[2]*c[2]])/
   31381059609 - (697554944*f[a[6]]*f[a[4]*b[1]*c[1]]*f[b[2]*c[2]])/
   10460353203 - (255690752*f[a[2]*b[1]*c[1]]*f[a[4]*b[1]*c[1]]*
     f[b[2]*c[2]])/3486784401 + 
  (1278453760*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[4]*b[1]*c[1]]*f[b[2]*c[2]])/
   94143178827 + (45512953856*f[a[4]*b[1]*c[1]]^2*f[b[2]*c[2]])/
   31381059609 - (6400*f[b[2]*c[1]]^2*f[b[2]*c[2]])/6561 - 
  (1146880*f[a[2]]*f[a[1]*b[2]*c[1]]*f[b[2]*c[2]])/1594323 + 
  (5734400*f[a[1]^2*a[2]]*f[a[1]*b[2]*c[1]]*f[b[2]*c[2]])/43046721 - 
  (28672000*f[a[1]^4*a[2]]*f[a[1]*b[2]*c[1]]*f[b[2]*c[2]])/387420489 - 
  (29818880*f[a[2]^3]*f[a[1]*b[2]*c[1]]*f[b[2]*c[2]])/129140163 - 
  (36700160*f[a[1]*a[2]*a[3]]*f[a[1]*b[2]*c[1]]*f[b[2]*c[2]])/
   387420489 + (4587520*f[a[4]]*f[a[1]*b[2]*c[1]]*f[b[2]*c[2]])/
   14348907 - (22937600*f[a[1]^2*a[4]]*f[a[1]*b[2]*c[1]]*f[b[2]*c[2]])/
   387420489 - (28672000*f[a[6]]*f[a[1]*b[2]*c[1]]*f[b[2]*c[2]])/
   129140163 - (37273600*f[a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*
     f[b[2]*c[2]])/129140163 + 
  (186368000*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*f[b[2]*c[2]])/
   3486784401 + (149094400*f[a[4]*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*
     f[b[2]*c[2]])/1162261467 - 
  (102400*f[a[1]*b[2]*c[1]]^2*f[b[2]*c[2]])/177147 - 
  (36700160*f[a[1]*a[2]]*f[a[1]^2*b[2]*c[1]]*f[b[2]*c[2]])/43046721 + 
  (183500800*f[a[1]^3*a[2]]*f[a[1]^2*b[2]*c[1]]*f[b[2]*c[2]])/
   387420489 + (36700160*f[a[2]*a[3]]*f[a[1]^2*b[2]*c[1]]*
     f[b[2]*c[2]])/387420489 + 
  (146800640*f[a[1]*a[4]]*f[a[1]^2*b[2]*c[1]]*f[b[2]*c[2]])/387420489 - 
  (1192755200*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*f[b[2]*c[2]])/
   3486784401 + (64000*f[b[2]*c[1]]*f[a[1]^2*b[2]*c[1]]*f[b[2]*c[2]])/
   177147 - (1145600*f[a[1]^2*b[2]*c[1]]^2*f[b[2]*c[2]])/1594323 + 
  (5734400*f[a[2]]*f[a[1]^3*b[2]*c[1]]*f[b[2]*c[2]])/14348907 - 
  (205291520*f[a[1]^2*a[2]]*f[a[1]^3*b[2]*c[1]]*f[b[2]*c[2]])/
   129140163 + (6015385600*f[a[1]^4*a[2]]*f[a[1]^3*b[2]*c[1]]*
     f[b[2]*c[2]])/3486784401 - 
  (8053391360*f[a[2]^3]*f[a[1]^3*b[2]*c[1]]*f[b[2]*c[2]])/10460353203 + 
  (256901120*f[a[1]*a[2]*a[3]]*f[a[1]^3*b[2]*c[1]]*f[b[2]*c[2]])/
   1162261467 - (22937600*f[a[4]]*f[a[1]^3*b[2]*c[1]]*f[b[2]*c[2]])/
   129140163 + (821166080*f[a[1]^2*a[4]]*f[a[1]^3*b[2]*c[1]]*
     f[b[2]*c[2]])/1162261467 + 
  (143360000*f[a[6]]*f[a[1]^3*b[2]*c[1]]*f[b[2]*c[2]])/1162261467 + 
  (186368000*f[a[2]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*f[b[2]*c[2]])/
   1162261467 - (6671974400*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]^3*b[2]*c[1]]*f[b[2]*c[2]])/10460353203 - 
  (745472000*f[a[4]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*f[b[2]*c[2]])/
   10460353203 + (1024000*f[a[1]*b[2]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[b[2]*c[2]])/1594323 - (60108800*f[a[1]^3*b[2]*c[1]]^2*
     f[b[2]*c[2]])/43046721 + 
  (1146880*f[a[1]]*f[a[2]*b[2]*c[1]]*f[b[2]*c[2]])/1594323 - 
  (5734400*f[a[1]^3]*f[a[2]*b[2]*c[1]]*f[b[2]*c[2]])/14348907 + 
  (143360000*f[a[1]^5]*f[a[2]*b[2]*c[1]]*f[b[2]*c[2]])/387420489 + 
  (29818880*f[a[1]*a[2]^2]*f[a[2]*b[2]*c[1]]*f[b[2]*c[2]])/387420489 + 
  (5734400*f[a[3]]*f[a[2]*b[2]*c[1]]*f[b[2]*c[2]])/4782969 - 
  (12615680*f[a[1]^2*a[3]]*f[a[2]*b[2]*c[1]]*f[b[2]*c[2]])/387420489 - 
  (63078400*f[a[5]]*f[a[2]*b[2]*c[1]]*f[b[2]*c[2]])/129140163 + 
  (37273600*f[a[1]*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*f[b[2]*c[2]])/
   129140163 - (186368000*f[a[1]^3*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*
     f[b[2]*c[2]])/1162261467 + 
  (186368000*f[a[3]*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*f[b[2]*c[2]])/
   387420489 + (1638400*f[a[2]*b[2]*c[1]]^2*f[b[2]*c[2]])/1594323 + 
  (36700160*f[a[1]^2]*f[a[1]*a[2]*b[2]*c[1]]*f[b[2]*c[2]])/43046721 - 
  (367001600*f[a[1]^4]*f[a[1]*a[2]*b[2]*c[1]]*f[b[2]*c[2]])/387420489 + 
  (4587520000*f[a[1]^6]*f[a[1]*a[2]*b[2]*c[1]]*f[b[2]*c[2]])/
   3486784401 + (587202560*f[a[2]^2]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[2]*c[2]])/387420489 - 
  (73400320*f[a[1]^2*a[2]^2]*f[a[1]*a[2]*b[2]*c[1]]*f[b[2]*c[2]])/
   387420489 + (256901120*f[a[1]*a[3]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[2]*c[2]])/387420489 - 
  (36700160*f[a[1]^3*a[3]]*f[a[1]*a[2]*b[2]*c[1]]*f[b[2]*c[2]])/
   1162261467 - (183500800*f[a[3]^2]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[2]*c[2]])/1162261467 - 
  (11744051200*f[a[2]*a[4]]*f[a[1]*a[2]*b[2]*c[1]]*f[b[2]*c[2]])/
   31381059609 - (7890534400*f[a[1]*a[5]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[2]*c[2]])/31381059609 + 
  (1192755200*f[a[1]^2*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*f[b[2]*c[2]])/
   3486784401 - (11927552000*f[a[1]^4*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[2]*c[2]])/31381059609 + 
  (19084083200*f[a[2]^2*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[2]*c[2]])/31381059609 + 
  (8349286400*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[2]*c[2]])/31381059609 + 
  (104857600*f[a[1]*a[2]*b[2]*c[1]]^2*f[b[2]*c[2]])/129140163 - 
  (5734400*f[a[2]]*f[a[3]*b[2]*c[1]]*f[b[2]*c[2]])/4782969 + 
  (28672000*f[a[1]^2*a[2]]*f[a[3]*b[2]*c[1]]*f[b[2]*c[2]])/129140163 - 
  (143360000*f[a[1]^4*a[2]]*f[a[3]*b[2]*c[1]]*f[b[2]*c[2]])/
   1162261467 - (149094400*f[a[2]^3]*f[a[3]*b[2]*c[1]]*f[b[2]*c[2]])/
   387420489 - (183500800*f[a[1]*a[2]*a[3]]*f[a[3]*b[2]*c[1]]*
     f[b[2]*c[2]])/1162261467 - 
  (224788480*f[a[4]]*f[a[3]*b[2]*c[1]]*f[b[2]*c[2]])/129140163 + 
  (1123942400*f[a[1]^2*a[4]]*f[a[3]*b[2]*c[1]]*f[b[2]*c[2]])/
   3486784401 + (7286128640*f[a[6]]*f[a[3]*b[2]*c[1]]*f[b[2]*c[2]])/
   10460353203 - (186368000*f[a[2]*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[b[2]*c[2]])/387420489 + 
  (931840000*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*f[b[2]*c[2]])/
   10460353203 - (7305625600*f[a[4]*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[b[2]*c[2]])/10460353203 + 
  (204800*f[a[1]*b[2]*c[1]]*f[a[3]*b[2]*c[1]]*f[b[2]*c[2]])/1594323 - 
  (1024000*f[a[1]^3*b[2]*c[1]]*f[a[3]*b[2]*c[1]]*f[b[2]*c[2]])/
   14348907 - (65843200*f[a[3]*b[2]*c[1]]^2*f[b[2]*c[2]])/43046721 - 
  (21280*f[1]*f[b[3]*c[1]]*f[b[2]*c[2]])/19683 + 
  (106400*f[a[1]^2]*f[b[3]*c[1]]*f[b[2]*c[2]])/531441 - 
  (532000*f[a[1]^4]*f[b[3]*c[1]]*f[b[2]*c[2]])/4782969 + 
  (13300000*f[a[1]^6]*f[b[3]*c[1]]*f[b[2]*c[2]])/129140163 - 
  (553280*f[a[2]^2]*f[b[3]*c[1]]*f[b[2]*c[2]])/4782969 + 
  (2766400*f[a[1]^2*a[2]^2]*f[b[3]*c[1]]*f[b[2]*c[2]])/129140163 - 
  (680960*f[a[1]*a[3]]*f[b[3]*c[1]]*f[b[2]*c[2]])/4782969 + 
  (3404800*f[a[1]^3*a[3]]*f[b[3]*c[1]]*f[b[2]*c[2]])/43046721 + 
  (19003040*f[a[3]^2]*f[b[3]*c[1]]*f[b[2]*c[2]])/129140163 + 
  (43581440*f[a[2]*a[4]]*f[b[3]*c[1]]*f[b[2]*c[2]])/387420489 + 
  (44262400*f[a[1]*a[5]]*f[b[3]*c[1]]*f[b[2]*c[2]])/387420489 - 
  (993440*f[b[1]*c[1]]*f[b[3]*c[1]]*f[b[2]*c[2]])/1594323 + 
  (4967200*f[a[1]^2*b[1]*c[1]]*f[b[3]*c[1]]*f[b[2]*c[2]])/43046721 - 
  (24836000*f[a[1]^4*b[1]*c[1]]*f[b[3]*c[1]]*f[b[2]*c[2]])/387420489 - 
  (25829440*f[a[2]^2*b[1]*c[1]]*f[b[3]*c[1]]*f[b[2]*c[2]])/387420489 - 
  (31790080*f[a[1]*a[3]*b[1]*c[1]]*f[b[3]*c[1]]*f[b[2]*c[2]])/
   387420489 + (881600*f[b[3]*c[1]]^2*f[b[2]*c[2]])/4782969 - 
  (340480*f[a[1]]*f[a[1]*b[3]*c[1]]*f[b[2]*c[2]])/531441 + 
  (1702400*f[a[1]^3]*f[a[1]*b[3]*c[1]]*f[b[2]*c[2]])/4782969 - 
  (42560000*f[a[1]^5]*f[a[1]*b[3]*c[1]]*f[b[2]*c[2]])/129140163 - 
  (8852480*f[a[1]*a[2]^2]*f[a[1]*b[3]*c[1]]*f[b[2]*c[2]])/129140163 + 
  (340480*f[a[3]]*f[a[1]*b[3]*c[1]]*f[b[2]*c[2]])/4782969 - 
  (7831040*f[a[1]^2*a[3]]*f[a[1]*b[3]*c[1]]*f[b[2]*c[2]])/43046721 - 
  (22131200*f[a[5]]*f[a[1]*b[3]*c[1]]*f[b[2]*c[2]])/387420489 - 
  (15895040*f[a[1]*b[1]*c[1]]*f[a[1]*b[3]*c[1]]*f[b[2]*c[2]])/
   43046721 + (79475200*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[3]*c[1]]*
     f[b[2]*c[2]])/387420489 + 
  (15895040*f[a[3]*b[1]*c[1]]*f[a[1]*b[3]*c[1]]*f[b[2]*c[2]])/
   387420489 - (162611200*f[a[2]*b[2]*c[1]]*f[a[1]*b[3]*c[1]]*
     f[b[2]*c[2]])/387420489 + 
  (14105600*f[a[1]*b[3]*c[1]]^2*f[b[2]*c[2]])/129140163 + 
  (106400*f[1]*f[a[1]^2*b[3]*c[1]]*f[b[2]*c[2]])/531441 - 
  (3809120*f[a[1]^2]*f[a[1]^2*b[3]*c[1]]*f[b[2]*c[2]])/4782969 + 
  (111613600*f[a[1]^4]*f[a[1]^2*b[3]*c[1]]*f[b[2]*c[2]])/129140163 - 
  (4152260000*f[a[1]^6]*f[a[1]^2*b[3]*c[1]]*f[b[2]*c[2]])/3486784401 - 
  (166026560*f[a[2]^2]*f[a[1]^2*b[3]*c[1]]*f[b[2]*c[2]])/387420489 - 
  (19705280*f[a[1]^2*a[2]^2]*f[a[1]^2*b[3]*c[1]]*f[b[2]*c[2]])/
   10460353203 + (4766720*f[a[1]*a[3]]*f[a[1]^2*b[3]*c[1]]*
     f[b[2]*c[2]])/43046721 - 
  (420152320*f[a[1]^3*a[3]]*f[a[1]^2*b[3]*c[1]]*f[b[2]*c[2]])/
   1162261467 - (127701280*f[a[3]^2]*f[a[1]^2*b[3]*c[1]]*f[b[2]*c[2]])/
   3486784401 + (1874001920*f[a[2]*a[4]]*f[a[1]^2*b[3]*c[1]]*
     f[b[2]*c[2]])/10460353203 - 
  (309836800*f[a[1]*a[5]]*f[a[1]^2*b[3]*c[1]]*f[b[2]*c[2]])/
   3486784401 + (4967200*f[b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[b[2]*c[2]])/43046721 - 
  (177825760*f[a[1]^2*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*f[b[2]*c[2]])/
   387420489 + (5210592800*f[a[1]^4*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[b[2]*c[2]])/10460353203 - 
  (7750818880*f[a[2]^2*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*f[b[2]*c[2]])/
   31381059609 + (222530560*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[b[2]*c[2]])/3486784401 - 
  (5203558400*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]^2*b[3]*c[1]]*f[b[2]*c[2]])/
   10460353203 - (8816000*f[b[3]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[b[2]*c[2]])/129140163 + 
  (157806400*f[a[1]^2*b[3]*c[1]]^2*f[b[2]*c[2]])/1162261467 + 
  (5447680*f[a[2]]*f[a[2]*b[3]*c[1]]*f[b[2]*c[2]])/4782969 - 
  (27238400*f[a[1]^2*a[2]]*f[a[2]*b[3]*c[1]]*f[b[2]*c[2]])/129140163 + 
  (136192000*f[a[1]^4*a[2]]*f[a[2]*b[3]*c[1]]*f[b[2]*c[2]])/
   1162261467 + (141639680*f[a[2]^3]*f[a[2]*b[3]*c[1]]*f[b[2]*c[2]])/
   387420489 + (174325760*f[a[1]*a[2]*a[3]]*f[a[2]*b[3]*c[1]]*
     f[b[2]*c[2]])/1162261467 - 
  (21790720*f[a[4]]*f[a[2]*b[3]*c[1]]*f[b[2]*c[2]])/387420489 + 
  (108953600*f[a[1]^2*a[4]]*f[a[2]*b[3]*c[1]]*f[b[2]*c[2]])/
   10460353203 + (59924480*f[a[6]]*f[a[2]*b[3]*c[1]]*f[b[2]*c[2]])/
   1162261467 + (254320640*f[a[2]*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[b[2]*c[2]])/387420489 - 
  (1271603200*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*f[b[2]*c[2]])/
   10460353203 - (1017282560*f[a[4]*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[b[2]*c[2]])/31381059609 + 
  (162611200*f[a[1]*b[2]*c[1]]*f[a[2]*b[3]*c[1]]*f[b[2]*c[2]])/
   387420489 - (813056000*f[a[1]^3*b[2]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[b[2]*c[2]])/3486784401 + 
  (813056000*f[a[3]*b[2]*c[1]]*f[a[2]*b[3]*c[1]]*f[b[2]*c[2]])/
   1162261467 - (225689600*f[a[2]*b[3]*c[1]]^2*f[b[2]*c[2]])/1162261467 + 
  (68234240*f[b[2]*c[1]]*f[b[4]*c[1]]*f[b[2]*c[2]])/129140163 - 
  (341171200*f[a[1]^2*b[2]*c[1]]*f[b[4]*c[1]]*f[b[2]*c[2]])/
   3486784401 + (23655424*f[b[4]*c[1]]^2*f[b[2]*c[2]])/1162261467 - 
  (8192000*f[a[2]]*f[a[1]*b[4]*c[1]]*f[b[2]*c[2]])/129140163 + 
  (40960000*f[a[1]^2*a[2]]*f[a[1]*b[4]*c[1]]*f[b[2]*c[2]])/3486784401 - 
  (204800000*f[a[1]^4*a[2]]*f[a[1]*b[4]*c[1]]*f[b[2]*c[2]])/
   31381059609 - (212992000*f[a[2]^3]*f[a[1]*b[4]*c[1]]*f[b[2]*c[2]])/
   10460353203 - (262144000*f[a[1]*a[2]*a[3]]*f[a[1]*b[4]*c[1]]*
     f[b[2]*c[2]])/31381059609 + 
  (32768000*f[a[4]]*f[a[1]*b[4]*c[1]]*f[b[2]*c[2]])/1162261467 - 
  (163840000*f[a[1]^2*a[4]]*f[a[1]*b[4]*c[1]]*f[b[2]*c[2]])/
   31381059609 - (204800000*f[a[6]]*f[a[1]*b[4]*c[1]]*f[b[2]*c[2]])/
   10460353203 - (593985536*f[a[2]*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[b[2]*c[2]])/3486784401 + 
  (2969927680*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*f[b[2]*c[2]])/
   94143178827 + (2375942144*f[a[4]*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[b[2]*c[2]])/31381059609 + 
  (1091747840*f[a[1]*b[2]*c[1]]*f[a[1]*b[4]*c[1]]*f[b[2]*c[2]])/
   3486784401 - (5458739200*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[b[2]*c[2]])/31381059609 - 
  (1091747840*f[a[3]*b[2]*c[1]]*f[a[1]*b[4]*c[1]]*f[b[2]*c[2]])/
   31381059609 - (5135564800*f[a[2]*b[3]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[b[2]*c[2]])/31381059609 + 
  (378486784*f[a[1]*b[4]*c[1]]^2*f[b[2]*c[2]])/31381059609 + 
  (609760*f[1]*f[b[5]*c[1]]*f[b[2]*c[2]])/1594323 - 
  (3048800*f[a[1]^2]*f[b[5]*c[1]]*f[b[2]*c[2]])/43046721 + 
  (15244000*f[a[1]^4]*f[b[5]*c[1]]*f[b[2]*c[2]])/387420489 - 
  (381100000*f[a[1]^6]*f[b[5]*c[1]]*f[b[2]*c[2]])/10460353203 + 
  (15853760*f[a[2]^2]*f[b[5]*c[1]]*f[b[2]*c[2]])/387420489 - 
  (79268800*f[a[1]^2*a[2]^2]*f[b[5]*c[1]]*f[b[2]*c[2]])/10460353203 + 
  (19512320*f[a[1]*a[3]]*f[b[5]*c[1]]*f[b[2]*c[2]])/387420489 - 
  (97561600*f[a[1]^3*a[3]]*f[b[5]*c[1]]*f[b[2]*c[2]])/3486784401 - 
  (544515680*f[a[3]^2]*f[b[5]*c[1]]*f[b[2]*c[2]])/10460353203 - 
  (1248788480*f[a[2]*a[4]]*f[b[5]*c[1]]*f[b[2]*c[2]])/31381059609 - 
  (1268300800*f[a[1]*a[5]]*f[b[5]*c[1]]*f[b[2]*c[2]])/31381059609 + 
  (19170400*f[b[1]*c[1]]*f[b[5]*c[1]]*f[b[2]*c[2]])/129140163 - 
  (95852000*f[a[1]^2*b[1]*c[1]]*f[b[5]*c[1]]*f[b[2]*c[2]])/3486784401 + 
  (479260000*f[a[1]^4*b[1]*c[1]]*f[b[5]*c[1]]*f[b[2]*c[2]])/
   31381059609 + (498430400*f[a[2]^2*b[1]*c[1]]*f[b[5]*c[1]]*
     f[b[2]*c[2]])/31381059609 + 
  (613452800*f[a[1]*a[3]*b[1]*c[1]]*f[b[5]*c[1]]*f[b[2]*c[2]])/
   31381059609 - (89142400*f[b[3]*c[1]]*f[b[5]*c[1]]*f[b[2]*c[2]])/
   387420489 + (445712000*f[a[1]^2*b[3]*c[1]]*f[b[5]*c[1]]*
     f[b[2]*c[2]])/10460353203 + 
  (628321600*f[b[5]*c[1]]^2*f[b[2]*c[2]])/10460353203 - 
  (1216768*f[b[2]*c[1]]*f[b[1]*c[2]]*f[b[2]*c[2]])/1594323 + 
  (6083840*f[a[1]^2*b[2]*c[1]]*f[b[1]*c[2]]*f[b[2]*c[2]])/43046721 - 
  (8691200*f[b[4]*c[1]]*f[b[1]*c[2]]*f[b[2]*c[2]])/129140163 - 
  (1600*f[b[1]*c[2]]^2*f[b[2]*c[2]])/6561 + 
  (573440*f[a[2]]*f[a[1]*b[1]*c[2]]*f[b[2]*c[2]])/1594323 - 
  (2867200*f[a[1]^2*a[2]]*f[a[1]*b[1]*c[2]]*f[b[2]*c[2]])/43046721 + 
  (14336000*f[a[1]^4*a[2]]*f[a[1]*b[1]*c[2]]*f[b[2]*c[2]])/387420489 + 
  (14909440*f[a[2]^3]*f[a[1]*b[1]*c[2]]*f[b[2]*c[2]])/129140163 + 
  (18350080*f[a[1]*a[2]*a[3]]*f[a[1]*b[1]*c[2]]*f[b[2]*c[2]])/
   387420489 - (2293760*f[a[4]]*f[a[1]*b[1]*c[2]]*f[b[2]*c[2]])/
   14348907 + (11468800*f[a[1]^2*a[4]]*f[a[1]*b[1]*c[2]]*f[b[2]*c[2]])/
   387420489 + (14336000*f[a[6]]*f[a[1]*b[1]*c[2]]*f[b[2]*c[2]])/
   129140163 + (18636800*f[a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[b[2]*c[2]])/129140163 - 
  (93184000*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[2]]*f[b[2]*c[2]])/
   3486784401 - (74547200*f[a[4]*b[1]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[b[2]*c[2]])/1162261467 - 
  (19468288*f[a[1]*b[2]*c[1]]*f[a[1]*b[1]*c[2]]*f[b[2]*c[2]])/
   43046721 + (97341440*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[b[2]*c[2]])/387420489 + 
  (19468288*f[a[3]*b[2]*c[1]]*f[a[1]*b[1]*c[2]]*f[b[2]*c[2]])/
   387420489 - (5218304*f[a[2]*b[3]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[b[2]*c[2]])/43046721 - 
  (139059200*f[a[1]*b[4]*c[1]]*f[a[1]*b[1]*c[2]]*f[b[2]*c[2]])/
   3486784401 - (25600*f[a[1]*b[1]*c[2]]^2*f[b[2]*c[2]])/177147 + 
  (18350080*f[a[1]*a[2]]*f[a[1]^2*b[1]*c[2]]*f[b[2]*c[2]])/43046721 - 
  (91750400*f[a[1]^3*a[2]]*f[a[1]^2*b[1]*c[2]]*f[b[2]*c[2]])/
   387420489 - (18350080*f[a[2]*a[3]]*f[a[1]^2*b[1]*c[2]]*
     f[b[2]*c[2]])/387420489 - 
  (73400320*f[a[1]*a[4]]*f[a[1]^2*b[1]*c[2]]*f[b[2]*c[2]])/387420489 + 
  (596377600*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]]*f[b[2]*c[2]])/
   3486784401 + (6083840*f[b[2]*c[1]]*f[a[1]^2*b[1]*c[2]]*
     f[b[2]*c[2]])/43046721 - 
  (217801472*f[a[1]^2*b[2]*c[1]]*f[a[1]^2*b[1]*c[2]]*f[b[2]*c[2]])/
   387420489 + (43456000*f[b[4]*c[1]]*f[a[1]^2*b[1]*c[2]]*
     f[b[2]*c[2]])/3486784401 + 
  (16000*f[b[1]*c[2]]*f[a[1]^2*b[1]*c[2]]*f[b[2]*c[2]])/177147 - 
  (286400*f[a[1]^2*b[1]*c[2]]^2*f[b[2]*c[2]])/1594323 - 
  (2867200*f[a[2]]*f[a[1]^3*b[1]*c[2]]*f[b[2]*c[2]])/14348907 + 
  (102645760*f[a[1]^2*a[2]]*f[a[1]^3*b[1]*c[2]]*f[b[2]*c[2]])/
   129140163 - (3007692800*f[a[1]^4*a[2]]*f[a[1]^3*b[1]*c[2]]*
     f[b[2]*c[2]])/3486784401 + 
  (4026695680*f[a[2]^3]*f[a[1]^3*b[1]*c[2]]*f[b[2]*c[2]])/10460353203 - 
  (128450560*f[a[1]*a[2]*a[3]]*f[a[1]^3*b[1]*c[2]]*f[b[2]*c[2]])/
   1162261467 + (11468800*f[a[4]]*f[a[1]^3*b[1]*c[2]]*f[b[2]*c[2]])/
   129140163 - (410583040*f[a[1]^2*a[4]]*f[a[1]^3*b[1]*c[2]]*
     f[b[2]*c[2]])/1162261467 - 
  (71680000*f[a[6]]*f[a[1]^3*b[1]*c[2]]*f[b[2]*c[2]])/1162261467 - 
  (93184000*f[a[2]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*f[b[2]*c[2]])/
   1162261467 + (3335987200*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]^3*b[1]*c[2]]*f[b[2]*c[2]])/10460353203 + 
  (372736000*f[a[4]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*f[b[2]*c[2]])/
   10460353203 + (97341440*f[a[1]*b[2]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[b[2]*c[2]])/387420489 - 
  (11427885056*f[a[1]^3*b[2]*c[1]]*f[a[1]^3*b[1]*c[2]]*f[b[2]*c[2]])/
   10460353203 - (97341440*f[a[3]*b[2]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[b[2]*c[2]])/3486784401 + 
  (26091520*f[a[2]*b[3]*c[1]]*f[a[1]^3*b[1]*c[2]]*f[b[2]*c[2]])/
   387420489 + (695296000*f[a[1]*b[4]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[b[2]*c[2]])/31381059609 + 
  (256000*f[a[1]*b[1]*c[2]]*f[a[1]^3*b[1]*c[2]]*f[b[2]*c[2]])/1594323 - 
  (15027200*f[a[1]^3*b[1]*c[2]]^2*f[b[2]*c[2]])/43046721 - 
  (573440*f[a[1]]*f[a[2]*b[1]*c[2]]*f[b[2]*c[2]])/1594323 + 
  (2867200*f[a[1]^3]*f[a[2]*b[1]*c[2]]*f[b[2]*c[2]])/14348907 - 
  (71680000*f[a[1]^5]*f[a[2]*b[1]*c[2]]*f[b[2]*c[2]])/387420489 - 
  (14909440*f[a[1]*a[2]^2]*f[a[2]*b[1]*c[2]]*f[b[2]*c[2]])/387420489 - 
  (2867200*f[a[3]]*f[a[2]*b[1]*c[2]]*f[b[2]*c[2]])/4782969 + 
  (6307840*f[a[1]^2*a[3]]*f[a[2]*b[1]*c[2]]*f[b[2]*c[2]])/387420489 + 
  (31539200*f[a[5]]*f[a[2]*b[1]*c[2]]*f[b[2]*c[2]])/129140163 - 
  (18636800*f[a[1]*b[1]*c[1]]*f[a[2]*b[1]*c[2]]*f[b[2]*c[2]])/
   129140163 + (93184000*f[a[1]^3*b[1]*c[1]]*f[a[2]*b[1]*c[2]]*
     f[b[2]*c[2]])/1162261467 - 
  (93184000*f[a[3]*b[1]*c[1]]*f[a[2]*b[1]*c[2]]*f[b[2]*c[2]])/
   387420489 + (311492608*f[a[2]*b[2]*c[1]]*f[a[2]*b[1]*c[2]]*
     f[b[2]*c[2]])/387420489 + 
  (5218304*f[a[1]*b[3]*c[1]]*f[a[2]*b[1]*c[2]]*f[b[2]*c[2]])/43046721 + 
  (409600*f[a[2]*b[1]*c[2]]^2*f[b[2]*c[2]])/1594323 - 
  (18350080*f[a[1]^2]*f[a[1]*a[2]*b[1]*c[2]]*f[b[2]*c[2]])/43046721 + 
  (183500800*f[a[1]^4]*f[a[1]*a[2]*b[1]*c[2]]*f[b[2]*c[2]])/387420489 - 
  (2293760000*f[a[1]^6]*f[a[1]*a[2]*b[1]*c[2]]*f[b[2]*c[2]])/
   3486784401 - (293601280*f[a[2]^2]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[2]*c[2]])/387420489 + 
  (36700160*f[a[1]^2*a[2]^2]*f[a[1]*a[2]*b[1]*c[2]]*f[b[2]*c[2]])/
   387420489 - (128450560*f[a[1]*a[3]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[2]*c[2]])/387420489 + 
  (18350080*f[a[1]^3*a[3]]*f[a[1]*a[2]*b[1]*c[2]]*f[b[2]*c[2]])/
   1162261467 + (91750400*f[a[3]^2]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[2]*c[2]])/1162261467 + 
  (5872025600*f[a[2]*a[4]]*f[a[1]*a[2]*b[1]*c[2]]*f[b[2]*c[2]])/
   31381059609 + (3945267200*f[a[1]*a[5]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[2]*c[2]])/31381059609 - 
  (596377600*f[a[1]^2*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*f[b[2]*c[2]])/
   3486784401 + (5963776000*f[a[1]^4*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[2]*c[2]])/31381059609 - 
  (9542041600*f[a[2]^2*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*f[b[2]*c[2]])/
   31381059609 - (4174643200*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]]*f[b[2]*c[2]])/31381059609 + 
  (19935526912*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[2]*c[2]])/31381059609 + 
  (166985728*f[a[1]^2*b[3]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*f[b[2]*c[2]])/
   1162261467 + (26214400*f[a[1]*a[2]*b[1]*c[2]]^2*f[b[2]*c[2]])/
   129140163 + (2867200*f[a[2]]*f[a[3]*b[1]*c[2]]*f[b[2]*c[2]])/
   4782969 - (14336000*f[a[1]^2*a[2]]*f[a[3]*b[1]*c[2]]*f[b[2]*c[2]])/
   129140163 + (71680000*f[a[1]^4*a[2]]*f[a[3]*b[1]*c[2]]*
     f[b[2]*c[2]])/1162261467 + 
  (74547200*f[a[2]^3]*f[a[3]*b[1]*c[2]]*f[b[2]*c[2]])/387420489 + 
  (91750400*f[a[1]*a[2]*a[3]]*f[a[3]*b[1]*c[2]]*f[b[2]*c[2]])/
   1162261467 + (112394240*f[a[4]]*f[a[3]*b[1]*c[2]]*f[b[2]*c[2]])/
   129140163 - (561971200*f[a[1]^2*a[4]]*f[a[3]*b[1]*c[2]]*
     f[b[2]*c[2]])/3486784401 - 
  (3643064320*f[a[6]]*f[a[3]*b[1]*c[2]]*f[b[2]*c[2]])/10460353203 + 
  (93184000*f[a[2]*b[1]*c[1]]*f[a[3]*b[1]*c[2]]*f[b[2]*c[2]])/
   387420489 - (465920000*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[b[2]*c[2]])/10460353203 + 
  (3652812800*f[a[4]*b[1]*c[1]]*f[a[3]*b[1]*c[2]]*f[b[2]*c[2]])/
   10460353203 + (19468288*f[a[1]*b[2]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[b[2]*c[2]])/387420489 - 
  (97341440*f[a[1]^3*b[2]*c[1]]*f[a[3]*b[1]*c[2]]*f[b[2]*c[2]])/
   3486784401 - (12518109184*f[a[3]*b[2]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[b[2]*c[2]])/10460353203 - 
  (26091520*f[a[2]*b[3]*c[1]]*f[a[3]*b[1]*c[2]]*f[b[2]*c[2]])/
   129140163 + (139059200*f[a[1]*b[4]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[b[2]*c[2]])/31381059609 + 
  (51200*f[a[1]*b[1]*c[2]]*f[a[3]*b[1]*c[2]]*f[b[2]*c[2]])/1594323 - 
  (256000*f[a[1]^3*b[1]*c[2]]*f[a[3]*b[1]*c[2]]*f[b[2]*c[2]])/
   14348907 - (16460800*f[a[3]*b[1]*c[2]]^2*f[b[2]*c[2]])/43046721 - 
  (4061*f[1]*f[b[2]*c[2]]^2)/6561 + 
  (20305*f[a[1]^2]*f[b[2]*c[2]]^2)/177147 - 
  (101525*f[a[1]^4]*f[b[2]*c[2]]^2)/1594323 + 
  (2538125*f[a[1]^6]*f[b[2]*c[2]]^2)/43046721 - 
  (105586*f[a[2]^2]*f[b[2]*c[2]]^2)/1594323 + 
  (527930*f[a[1]^2*a[2]^2]*f[b[2]*c[2]]^2)/43046721 - 
  (129952*f[a[1]*a[3]]*f[b[2]*c[2]]^2)/1594323 + 
  (649760*f[a[1]^3*a[3]]*f[b[2]*c[2]]^2)/14348907 + 
  (3626473*f[a[3]^2]*f[b[2]*c[2]]^2)/43046721 + 
  (8316928*f[a[2]*a[4]]*f[b[2]*c[2]]^2)/129140163 + 
  (8446880*f[a[1]*a[5]]*f[b[2]*c[2]]^2)/129140163 + 
  (436361*f[b[1]*c[1]]*f[b[2]*c[2]]^2)/1594323 - 
  (2181805*f[a[1]^2*b[1]*c[1]]*f[b[2]*c[2]]^2)/43046721 + 
  (10909025*f[a[1]^4*b[1]*c[1]]*f[b[2]*c[2]]^2)/387420489 + 
  (11345386*f[a[2]^2*b[1]*c[1]]*f[b[2]*c[2]]^2)/387420489 + 
  (13963552*f[a[1]*a[3]*b[1]*c[1]]*f[b[2]*c[2]]^2)/387420489 + 
  (4160560*f[b[3]*c[1]]*f[b[2]*c[2]]^2)/4782969 - 
  (20802800*f[a[1]^2*b[3]*c[1]]*f[b[2]*c[2]]^2)/129140163 - 
  (59117680*f[b[5]*c[1]]*f[b[2]*c[2]]^2)/129140163 - 
  (961*f[b[2]*c[2]]^3)/6561 - 
  (608*f[1]*f[a[1]]*f[a[1]*b[2]*c[2]])/2187 - 
  (608*f[a[1]]*f[a[1]^2]*f[a[1]*b[2]*c[2]])/2187 + 
  (3040*f[1]*f[a[1]^3]*f[a[1]*b[2]*c[2]])/19683 - 
  (229216*f[a[1]^2]*f[a[1]^3]*f[a[1]*b[2]*c[2]])/531441 + 
  (179360*f[a[1]]*f[a[1]^4]*f[a[1]*b[2]*c[2]])/531441 - 
  (13274464*f[a[1]^3]*f[a[1]^4]*f[a[1]*b[2]*c[2]])/14348907 - 
  (76000*f[1]*f[a[1]^5]*f[a[1]*b[2]*c[2]])/531441 + 
  (13512800*f[a[1]^2]*f[a[1]^5]*f[a[1]*b[2]*c[2]])/14348907 - 
  (332457440*f[a[1]^4]*f[a[1]^5]*f[a[1]*b[2]*c[2]])/129140163 - 
  (6916000*f[a[1]]*f[a[1]^6]*f[a[1]*b[2]*c[2]])/14348907 + 
  (138639200*f[a[1]^3]*f[a[1]^6]*f[a[1]*b[2]*c[2]])/43046721 - 
  (10362742880*f[a[1]^5]*f[a[1]^6]*f[a[1]*b[2]*c[2]])/1162261467 + 
  (311296*f[a[2]]*f[a[1]*a[2]]*f[a[1]*b[2]*c[2]])/1594323 + 
  (13385728*f[a[1]*a[2]]*f[a[1]^2*a[2]]*f[a[1]*b[2]*c[2]])/43046721 - 
  (1556480*f[a[2]]*f[a[1]^3*a[2]]*f[a[1]*b[2]*c[2]])/14348907 + 
  (251838464*f[a[1]^2*a[2]]*f[a[1]^3*a[2]]*f[a[1]*b[2]*c[2]])/
   387420489 - (141639680*f[a[1]*a[2]]*f[a[1]^4*a[2]]*
     f[a[1]*b[2]*c[2]])/387420489 + 
  (18062950400*f[a[1]^3*a[2]]*f[a[1]^4*a[2]]*f[a[1]*b[2]*c[2]])/
   10460353203 + (263872*f[a[1]]*f[a[2]^2]*f[a[1]*b[2]*c[2]])/1594323 - 
  (2100032*f[a[1]^3]*f[a[2]^2]*f[a[1]*b[2]*c[2]])/4782969 + 
  (282020800*f[a[1]^5]*f[a[2]^2]*f[a[1]*b[2]*c[2]])/387420489 - 
  (15808*f[1]*f[a[1]*a[2]^2]*f[a[1]*b[2]*c[2]])/531441 + 
  (3700288*f[a[1]^2]*f[a[1]*a[2]^2]*f[a[1]*b[2]*c[2]])/43046721 - 
  (354584384*f[a[1]^4]*f[a[1]*a[2]^2]*f[a[1]*b[2]*c[2]])/387420489 + 
  (8411953600*f[a[1]^6]*f[a[1]*a[2]^2]*f[a[1]*b[2]*c[2]])/3486784401 - 
  (72831104*f[a[2]^2]*f[a[1]*a[2]^2]*f[a[1]*b[2]*c[2]])/387420489 - 
  (2836928*f[a[1]]*f[a[1]^2*a[2]^2]*f[a[1]*b[2]*c[2]])/43046721 + 
  (548416*f[a[1]^3]*f[a[1]^2*a[2]^2]*f[a[1]*b[2]*c[2]])/14348907 - 
  (25887113920*f[a[1]^5]*f[a[1]^2*a[2]^2]*f[a[1]*b[2]*c[2]])/
   10460353203 - (19038500992*f[a[1]*a[2]^2]*f[a[1]^2*a[2]^2]*
     f[a[1]*b[2]*c[2]])/31381059609 - 
  (71598080*f[a[1]*a[2]]*f[a[2]^3]*f[a[1]*b[2]*c[2]])/129140163 + 
  (13422460928*f[a[1]^3*a[2]]*f[a[2]^3]*f[a[1]*b[2]*c[2]])/
   10460353203 + (608*f[1]*f[a[3]]*f[a[1]*b[2]*c[2]])/19683 + 
  (608*f[a[1]^2]*f[a[3]]*f[a[1]*b[2]*c[2]])/19683 - 
  (179360*f[a[1]^4]*f[a[3]]*f[a[1]*b[2]*c[2]])/4782969 + 
  (6916000*f[a[1]^6]*f[a[3]]*f[a[1]*b[2]*c[2]])/129140163 + 
  (524096*f[a[2]^2]*f[a[3]]*f[a[1]*b[2]*c[2]])/1594323 - 
  (7355584*f[a[1]^2*a[2]^2]*f[a[3]]*f[a[1]*b[2]*c[2]])/129140163 + 
  (311296*f[a[1]^3]*f[a[1]*a[3]]*f[a[1]*b[2]*c[2]])/4782969 - 
  (15564800*f[a[1]^5]*f[a[1]*a[3]]*f[a[1]*b[2]*c[2]])/129140163 - 
  (4980736*f[a[1]*a[2]^2]*f[a[1]*a[3]]*f[a[1]*b[2]*c[2]])/387420489 - 
  (6225920*f[a[3]]*f[a[1]*a[3]]*f[a[1]*b[2]*c[2]])/14348907 - 
  (13984*f[1]*f[a[1]^2*a[3]]*f[a[1]*b[2]*c[2]])/177147 - 
  (66272*f[a[1]^2]*f[a[1]^2*a[3]]*f[a[1]*b[2]*c[2]])/4782969 + 
  (22959904*f[a[1]^4]*f[a[1]^2*a[3]]*f[a[1]*b[2]*c[2]])/129140163 - 
  (180135200*f[a[1]^6]*f[a[1]^2*a[3]]*f[a[1]*b[2]*c[2]])/387420489 - 
  (151137856*f[a[2]^2]*f[a[1]^2*a[3]]*f[a[1]*b[2]*c[2]])/387420489 - 
  (608772160*f[a[1]^2*a[2]^2]*f[a[1]^2*a[3]]*f[a[1]*b[2]*c[2]])/
   3486784401 - (18989056*f[a[1]*a[3]]*f[a[1]^2*a[3]]*
     f[a[1]*b[2]*c[2]])/43046721 - 
  (622592*f[a[1]]*f[a[1]^3*a[3]]*f[a[1]*b[2]*c[2]])/4782969 - 
  (5292032*f[a[1]^3]*f[a[1]^3*a[3]]*f[a[1]*b[2]*c[2]])/129140163 + 
  (697303040*f[a[1]^5]*f[a[1]^3*a[3]]*f[a[1]*b[2]*c[2]])/1162261467 - 
  (232849408*f[a[1]*a[2]^2]*f[a[1]^3*a[3]]*f[a[1]*b[2]*c[2]])/
   387420489 + (32997376*f[a[3]]*f[a[1]^3*a[3]]*f[a[1]*b[2]*c[2]])/
   129140163 - (2432155648*f[a[1]^2*a[3]]*f[a[1]^3*a[3]]*
     f[a[1]*b[2]*c[2]])/3486784401 - 
  (311296*f[a[2]]*f[a[2]*a[3]]*f[a[1]*b[2]*c[2]])/1594323 + 
  (78757888*f[a[1]^2*a[2]]*f[a[2]*a[3]]*f[a[1]*b[2]*c[2]])/387420489 - 
  (717537280*f[a[1]^4*a[2]]*f[a[2]*a[3]]*f[a[1]*b[2]*c[2]])/
   3486784401 - (422739968*f[a[2]^3]*f[a[2]*a[3]]*f[a[1]*b[2]*c[2]])/
   387420489 - (4980736*f[a[1]*a[2]]*f[a[1]*a[2]*a[3]]*
     f[a[1]*b[2]*c[2]])/387420489 + 
  (981204992*f[a[1]^3*a[2]]*f[a[1]*a[2]*a[3]]*f[a[1]*b[2]*c[2]])/
   3486784401 + (4637065216*f[a[2]*a[3]]*f[a[1]*a[2]*a[3]]*
     f[a[1]*b[2]*c[2]])/10460353203 + 
  (484576*f[a[1]]*f[a[3]^2]*f[a[1]*b[2]*c[2]])/14348907 - 
  (3356768*f[a[1]^3]*f[a[3]^2]*f[a[1]*b[2]*c[2]])/129140163 + 
  (107266400*f[a[1]^5]*f[a[3]^2]*f[a[1]*b[2]*c[2]])/3486784401 - 
  (1257488704*f[a[1]*a[2]^2]*f[a[3]^2]*f[a[1]*b[2]*c[2]])/3486784401 + 
  (608*f[a[3]]*f[a[3]^2]*f[a[1]*b[2]*c[2]])/6561 + 
  (124145696*f[a[1]^2*a[3]]*f[a[3]^2]*f[a[1]*b[2]*c[2]])/1162261467 + 
  (1245184*f[a[1]*a[2]]*f[a[4]]*f[a[1]*b[2]*c[2]])/43046721 - 
  (6225920*f[a[1]^3*a[2]]*f[a[4]]*f[a[1]*b[2]*c[2]])/387420489 - 
  (90898432*f[a[2]*a[3]]*f[a[4]]*f[a[1]*b[2]*c[2]])/387420489 + 
  (1245184*f[a[2]]*f[a[1]*a[4]]*f[a[1]*b[2]*c[2]])/43046721 - 
  (8716288*f[a[1]^2*a[2]]*f[a[1]*a[4]]*f[a[1]*b[2]*c[2]])/387420489 + 
  (230359040*f[a[1]^4*a[2]]*f[a[1]*a[4]]*f[a[1]*b[2]*c[2]])/
   10460353203 + (415891456*f[a[2]^3]*f[a[1]*a[4]]*f[a[1]*b[2]*c[2]])/
   10460353203 + (19922944*f[a[1]*a[2]*a[3]]*f[a[1]*a[4]]*
     f[a[1]*b[2]*c[2]])/3486784401 + 
  (214171648*f[a[4]]*f[a[1]*a[4]]*f[a[1]*b[2]*c[2]])/387420489 - 
  (8716288*f[a[1]*a[2]]*f[a[1]^2*a[4]]*f[a[1]*b[2]*c[2]])/387420489 - 
  (1144324096*f[a[1]^3*a[2]]*f[a[1]^2*a[4]]*f[a[1]*b[2]*c[2]])/
   10460353203 + (1114439680*f[a[2]*a[3]]*f[a[1]^2*a[4]]*
     f[a[1]*b[2]*c[2]])/3486784401 + 
  (2007236608*f[a[1]*a[4]]*f[a[1]^2*a[4]]*f[a[1]*b[2]*c[2]])/
   3486784401 - (2490368*f[a[1]]*f[a[2]*a[4]]*f[a[1]*b[2]*c[2]])/
   43046721 + (72220672*f[a[1]^3]*f[a[2]*a[4]]*f[a[1]*b[2]*c[2]])/
   387420489 - (3299737600*f[a[1]^5]*f[a[2]*a[4]]*f[a[1]*b[2]*c[2]])/
   10460353203 - (2425618432*f[a[1]*a[2]^2]*f[a[2]*a[4]]*
     f[a[1]*b[2]*c[2]])/31381059609 + 
  (62259200*f[a[3]]*f[a[2]*a[4]]*f[a[1]*b[2]*c[2]])/387420489 - 
  (854196224*f[a[1]^2*a[3]]*f[a[2]*a[4]]*f[a[1]*b[2]*c[2]])/
   3486784401 - (39520*f[1]*f[a[5]]*f[a[1]*b[2]*c[2]])/1594323 - 
  (39520*f[a[1]^2]*f[a[5]]*f[a[1]*b[2]*c[2]])/1594323 + 
  (11658400*f[a[1]^4]*f[a[5]]*f[a[1]*b[2]*c[2]])/387420489 - 
  (449540000*f[a[1]^6]*f[a[5]]*f[a[1]*b[2]*c[2]])/10460353203 - 
  (52391360*f[a[2]^2]*f[a[5]]*f[a[1]*b[2]*c[2]])/387420489 + 
  (76358720*f[a[1]^2*a[2]^2]*f[a[5]]*f[a[1]*b[2]*c[2]])/3486784401 + 
  (6225920*f[a[1]*a[3]]*f[a[5]]*f[a[1]*b[2]*c[2]])/387420489 - 
  (71598080*f[a[1]^3*a[3]]*f[a[5]]*f[a[1]*b[2]*c[2]])/3486784401 - 
  (5858080*f[a[3]^2]*f[a[5]]*f[a[1]*b[2]*c[2]])/10460353203 + 
  (3498967040*f[a[2]*a[4]]*f[a[5]]*f[a[1]*b[2]*c[2]])/10460353203 - 
  (20234240*f[a[1]^3]*f[a[1]*a[5]]*f[a[1]*b[2]*c[2]])/387420489 + 
  (1011712000*f[a[1]^5]*f[a[1]*a[5]]*f[a[1]*b[2]*c[2]])/10460353203 + 
  (323747840*f[a[1]*a[2]^2]*f[a[1]*a[5]]*f[a[1]*b[2]*c[2]])/
   31381059609 + (6225920*f[a[3]]*f[a[1]*a[5]]*f[a[1]*b[2]*c[2]])/
   387420489 + (76267520*f[a[1]^2*a[3]]*f[a[1]*a[5]]*
     f[a[1]*b[2]*c[2]])/3486784401 - 
  (22332375040*f[a[5]]*f[a[1]*a[5]]*f[a[1]*b[2]*c[2]])/31381059609 - 
  (2179072*f[a[1]*a[2]]*f[a[6]]*f[a[1]*b[2]*c[2]])/129140163 + 
  (10895360*f[a[1]^3*a[2]]*f[a[6]]*f[a[1]*b[2]*c[2]])/1162261467 + 
  (973422592*f[a[2]*a[3]]*f[a[6]]*f[a[1]*b[2]*c[2]])/10460353203 - 
  (8716288*f[a[1]*a[4]]*f[a[6]]*f[a[1]*b[2]*c[2]])/3486784401 - 
  (122464*f[a[1]]*f[b[1]*c[1]]*f[a[1]*b[2]*c[2]])/177147 + 
  (612320*f[a[1]^3]*f[b[1]*c[1]]*f[a[1]*b[2]*c[2]])/1594323 - 
  (15308000*f[a[1]^5]*f[b[1]*c[1]]*f[a[1]*b[2]*c[2]])/43046721 - 
  (3184064*f[a[1]*a[2]^2]*f[b[1]*c[1]]*f[a[1]*b[2]*c[2]])/43046721 + 
  (122464*f[a[3]]*f[b[1]*c[1]]*f[a[1]*b[2]*c[2]])/1594323 - 
  (2816672*f[a[1]^2*a[3]]*f[b[1]*c[1]]*f[a[1]*b[2]*c[2]])/14348907 - 
  (7960160*f[a[5]]*f[b[1]*c[1]]*f[a[1]*b[2]*c[2]])/129140163 - 
  (122464*f[1]*f[a[1]*b[1]*c[1]]*f[a[1]*b[2]*c[2]])/177147 - 
  (122464*f[a[1]^2]*f[a[1]*b[1]*c[1]]*f[a[1]*b[2]*c[2]])/177147 + 
  (36126880*f[a[1]^4]*f[a[1]*b[1]*c[1]]*f[a[1]*b[2]*c[2]])/43046721 - 
  (1393028000*f[a[1]^6]*f[a[1]*b[1]*c[1]]*f[a[1]*b[2]*c[2]])/
   1162261467 + (53149376*f[a[2]^2]*f[a[1]*b[1]*c[1]]*
     f[a[1]*b[2]*c[2]])/129140163 - 
  (571417024*f[a[1]^2*a[2]^2]*f[a[1]*b[1]*c[1]]*f[a[1]*b[2]*c[2]])/
   3486784401 - (125403136*f[a[1]^3*a[3]]*f[a[1]*b[1]*c[1]]*
     f[a[1]*b[2]*c[2]])/387420489 + 
  (97603808*f[a[3]^2]*f[a[1]*b[1]*c[1]]*f[a[1]*b[2]*c[2]])/1162261467 - 
  (501612544*f[a[2]*a[4]]*f[a[1]*b[1]*c[1]]*f[a[1]*b[2]*c[2]])/
   3486784401 - (3995168*f[b[1]*c[1]]*f[a[1]*b[1]*c[1]]*
     f[a[1]*b[2]*c[2]])/4782969 - 
  (122464*f[a[1]]*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[2]*c[2]])/177147 - 
  (46168928*f[a[1]^3]*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[2]*c[2]])/43046721 + 
  (2721762400*f[a[1]^5]*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[2]*c[2]])/
   1162261467 + (745315904*f[a[1]*a[2]^2]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]*b[2]*c[2]])/3486784401 + 
  (122464*f[a[3]]*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[2]*c[2]])/1594323 - 
  (13348576*f[a[1]^2*a[3]]*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[2]*c[2]])/
   387420489 - (7960160*f[a[5]]*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[2]*c[2]])/
   129140163 - (3995168*f[a[1]*b[1]*c[1]]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]*b[2]*c[2]])/4782969 + 
  (612320*f[1]*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[2]*c[2]])/1594323 - 
  (46168928*f[a[1]^2]*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[2]*c[2]])/43046721 - 
  (2673756512*f[a[1]^4]*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[2]*c[2]])/
   1162261467 + (27924853600*f[a[1]^6]*f[a[1]^3*b[1]*c[1]]*
     f[a[1]*b[2]*c[2]])/3486784401 - 
  (422990656*f[a[2]^2]*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[2]*c[2]])/
   387420489 + (110462528*f[a[1]^2*a[2]^2]*f[a[1]^3*b[1]*c[1]]*
     f[a[1]*b[2]*c[2]])/1162261467 + 
  (62701568*f[a[1]*a[3]]*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[2]*c[2]])/
   387420489 - (1065926656*f[a[1]^3*a[3]]*f[a[1]^3*b[1]*c[1]]*
     f[a[1]*b[2]*c[2]])/10460353203 - 
  (676123744*f[a[3]^2]*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[2]*c[2]])/
   10460353203 + (14546763776*f[a[2]*a[4]]*f[a[1]^3*b[1]*c[1]]*
     f[a[1]*b[2]*c[2]])/31381059609 - 
  (4075601920*f[a[1]*a[5]]*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[2]*c[2]])/
   31381059609 + (19975840*f[b[1]*c[1]]*f[a[1]^3*b[1]*c[1]]*
     f[a[1]*b[2]*c[2]])/43046721 - 
  (1506178336*f[a[1]^2*b[1]*c[1]]*f[a[1]^3*b[1]*c[1]]*
     f[a[1]*b[2]*c[2]])/1162261467 + 
  (36126880*f[a[1]]*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[2]*c[2]])/43046721 - 
  (2673756512*f[a[1]^3]*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[2]*c[2]])/
   1162261467 - (66963927520*f[a[1]^5]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]*b[2]*c[2]])/10460353203 - 
  (71420759872*f[a[1]*a[2]^2]*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[2]*c[2]])/
   31381059609 - (36126880*f[a[3]]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]*b[2]*c[2]])/387420489 + 
  (4624608032*f[a[1]^2*a[3]]*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[2]*c[2]])/
   10460353203 + (2348247200*f[a[5]]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]*b[2]*c[2]])/31381059609 + 
  (1178574560*f[a[1]*b[1]*c[1]]*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[2]*c[2]])/
   1162261467 - (87226502944*f[a[1]^3*b[1]*c[1]]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]*b[2]*c[2]])/31381059609 + 
  (62701568*f[a[1]*a[2]]*f[a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[2]])/
   129140163 - (313507840*f[a[1]^3*a[2]]*f[a[2]*b[1]*c[1]]*
     f[a[1]*b[2]*c[2]])/1162261467 - 
  (62701568*f[a[2]*a[3]]*f[a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[2]])/
   129140163 + (250806272*f[a[1]*a[4]]*f[a[2]*b[1]*c[1]]*
     f[a[1]*b[2]*c[2]])/3486784401 + 
  (62701568*f[a[2]]*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[2]])/
   129140163 + (2696167424*f[a[1]^2*a[2]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[1]*b[2]*c[2]])/3486784401 - 
  (28529213440*f[a[1]^4*a[2]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[1]*b[2]*c[2]])/31381059609 - 
  (14421360640*f[a[2]^3]*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[2]])/
   10460353203 - (1003225088*f[a[1]*a[2]*a[3]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[1]*b[2]*c[2]])/31381059609 + 
  (250806272*f[a[4]]*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[2]])/
   3486784401 - (1755643904*f[a[1]^2*a[4]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[1]*b[2]*c[2]])/31381059609 - 
  (438910976*f[a[6]]*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[2]])/
   10460353203 + (2045526016*f[a[2]*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[1]*b[2]*c[2]])/3486784401 + 
  (2696167424*f[a[1]*a[2]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[2]])/
   3486784401 + (50725568512*f[a[1]^3*a[2]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*b[2]*c[2]])/31381059609 + 
  (15863496704*f[a[2]*a[3]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*b[2]*c[2]])/31381059609 - 
  (1755643904*f[a[1]*a[4]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[2]])/
   31381059609 + (87957618688*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[2]])/94143178827 + 
  (53149376*f[a[1]]*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[2]*c[2]])/129140163 - 
  (422990656*f[a[1]^3]*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[2]*c[2]])/
   387420489 + (56804926400*f[a[1]^5]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]*b[2]*c[2]])/31381059609 - 
  (14669717632*f[a[1]*a[2]^2]*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[2]*c[2]])/
   31381059609 + (105563968*f[a[3]]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]*b[2]*c[2]])/129140163 - 
  (30442346048*f[a[1]^2*a[3]]*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[2]*c[2]])/
   31381059609 - (10552722880*f[a[5]]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]*b[2]*c[2]])/31381059609 + 
  (1733902912*f[a[1]*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[2]*c[2]])/
   3486784401 - (13799310272*f[a[1]^3*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]*b[2]*c[2]])/10460353203 + 
  (122464*f[1]*f[a[3]*b[1]*c[1]]*f[a[1]*b[2]*c[2]])/1594323 + 
  (122464*f[a[1]^2]*f[a[3]*b[1]*c[1]]*f[a[1]*b[2]*c[2]])/1594323 - 
  (36126880*f[a[1]^4]*f[a[3]*b[1]*c[1]]*f[a[1]*b[2]*c[2]])/387420489 + 
  (1393028000*f[a[1]^6]*f[a[3]*b[1]*c[1]]*f[a[1]*b[2]*c[2]])/
   10460353203 + (105563968*f[a[2]^2]*f[a[3]*b[1]*c[1]]*
     f[a[1]*b[2]*c[2]])/129140163 - 
  (1481569472*f[a[1]^2*a[2]^2]*f[a[3]*b[1]*c[1]]*f[a[1]*b[2]*c[2]])/
   10460353203 - (1254031360*f[a[1]*a[3]]*f[a[3]*b[1]*c[1]]*
     f[a[1]*b[2]*c[2]])/1162261467 + 
  (6646366208*f[a[1]^3*a[3]]*f[a[3]*b[1]*c[1]]*f[a[1]*b[2]*c[2]])/
   10460353203 + (122464*f[a[3]^2]*f[a[3]*b[1]*c[1]]*
     f[a[1]*b[2]*c[2]])/531441 + 
  (12540313600*f[a[2]*a[4]]*f[a[3]*b[1]*c[1]]*f[a[1]*b[2]*c[2]])/
   31381059609 + (1254031360*f[a[1]*a[5]]*f[a[3]*b[1]*c[1]]*
     f[a[1]*b[2]*c[2]])/31381059609 + 
  (3995168*f[b[1]*c[1]]*f[a[3]*b[1]*c[1]]*f[a[1]*b[2]*c[2]])/43046721 + 
  (3995168*f[a[1]^2*b[1]*c[1]]*f[a[3]*b[1]*c[1]]*f[a[1]*b[2]*c[2]])/
   43046721 - (1178574560*f[a[1]^4*b[1]*c[1]]*f[a[3]*b[1]*c[1]]*
     f[a[1]*b[2]*c[2]])/10460353203 + 
  (3443834816*f[a[2]^2*b[1]*c[1]]*f[a[3]*b[1]*c[1]]*f[a[1]*b[2]*c[2]])/
   3486784401 + (62701568*f[a[1]^3]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]*b[2]*c[2]])/387420489 - 
  (3135078400*f[a[1]^5]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*b[2]*c[2]])/
   10460353203 - (1003225088*f[a[1]*a[2]^2]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]*b[2]*c[2]])/31381059609 - 
  (1254031360*f[a[3]]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*b[2]*c[2]])/
   1162261467 - (3824795648*f[a[1]^2*a[3]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]*b[2]*c[2]])/3486784401 + 
  (1254031360*f[a[5]]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*b[2]*c[2]])/
   31381059609 + (2045526016*f[a[1]^3*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]*b[2]*c[2]])/10460353203 - 
  (40910520320*f[a[3]*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]*b[2]*c[2]])/31381059609 + 
  (250806272*f[a[1]*a[2]]*f[a[4]*b[1]*c[1]]*f[a[1]*b[2]*c[2]])/
   3486784401 - (1254031360*f[a[1]^3*a[2]]*f[a[4]*b[1]*c[1]]*
     f[a[1]*b[2]*c[2]])/31381059609 - 
  (18308857856*f[a[2]*a[3]]*f[a[4]*b[1]*c[1]]*f[a[1]*b[2]*c[2]])/
   31381059609 + (43138678784*f[a[1]*a[4]]*f[a[4]*b[1]*c[1]]*
     f[a[1]*b[2]*c[2]])/31381059609 + 
  (8182104064*f[a[1]*a[2]*b[1]*c[1]]*f[a[4]*b[1]*c[1]]*
     f[a[1]*b[2]*c[2]])/94143178827 + 
  (1146880*f[a[2]]*f[b[2]*c[1]]*f[a[1]*b[2]*c[2]])/1594323 - 
  (5734400*f[a[1]^2*a[2]]*f[b[2]*c[1]]*f[a[1]*b[2]*c[2]])/43046721 + 
  (28672000*f[a[1]^4*a[2]]*f[b[2]*c[1]]*f[a[1]*b[2]*c[2]])/387420489 + 
  (29818880*f[a[2]^3]*f[b[2]*c[1]]*f[a[1]*b[2]*c[2]])/129140163 + 
  (36700160*f[a[1]*a[2]*a[3]]*f[b[2]*c[1]]*f[a[1]*b[2]*c[2]])/
   387420489 - (4587520*f[a[4]]*f[b[2]*c[1]]*f[a[1]*b[2]*c[2]])/
   14348907 + (22937600*f[a[1]^2*a[4]]*f[b[2]*c[1]]*f[a[1]*b[2]*c[2]])/
   387420489 + (28672000*f[a[6]]*f[b[2]*c[1]]*f[a[1]*b[2]*c[2]])/
   129140163 + (37273600*f[a[2]*b[1]*c[1]]*f[b[2]*c[1]]*
     f[a[1]*b[2]*c[2]])/129140163 - 
  (186368000*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[2]*c[1]]*f[a[1]*b[2]*c[2]])/
   3486784401 - (149094400*f[a[4]*b[1]*c[1]]*f[b[2]*c[1]]*
     f[a[1]*b[2]*c[2]])/1162261467 - 
  (204800*f[b[2]*c[1]]*f[a[1]*b[2]*c[1]]*f[a[1]*b[2]*c[2]])/177147 - 
  (42434560*f[a[2]]*f[a[1]^2*b[2]*c[1]]*f[a[1]*b[2]*c[2]])/43046721 - 
  (125009920*f[a[1]^2*a[2]]*f[a[1]^2*b[2]*c[1]]*f[a[1]*b[2]*c[2]])/
   387420489 + (4811161600*f[a[1]^4*a[2]]*f[a[1]^2*b[2]*c[1]]*
     f[a[1]*b[2]*c[2]])/10460353203 + 
  (6085345280*f[a[2]^3]*f[a[1]^2*b[2]*c[1]]*f[a[1]*b[2]*c[2]])/
   10460353203 - (256901120*f[a[1]*a[2]*a[3]]*f[a[1]^2*b[2]*c[1]]*
     f[a[1]*b[2]*c[2]])/3486784401 + 
  (169738240*f[a[4]]*f[a[1]^2*b[2]*c[1]]*f[a[1]*b[2]*c[2]])/387420489 + 
  (500039680*f[a[1]^2*a[4]]*f[a[1]^2*b[2]*c[1]]*f[a[1]*b[2]*c[2]])/
   3486784401 - (1060864000*f[a[6]]*f[a[1]^2*b[2]*c[1]]*
     f[a[1]*b[2]*c[2]])/3486784401 - 
  (1379123200*f[a[2]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*f[a[1]*b[2]*c[2]])/
   3486784401 - (4062822400*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[1]]*f[a[1]*b[2]*c[2]])/31381059609 + 
  (5516492800*f[a[4]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*f[a[1]*b[2]*c[2]])/
   31381059609 - (204800*f[a[1]*b[2]*c[1]]*f[a[1]^2*b[2]*c[1]]*
     f[a[1]*b[2]*c[2]])/177147 - 
  (587202560*f[a[1]*a[2]]*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[2]*c[2]])/
   387420489 - (9982443520*f[a[1]^3*a[2]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*b[2]*c[2]])/10460353203 + 
  (587202560*f[a[2]*a[3]]*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[2]*c[2]])/
   3486784401 + (2348810240*f[a[1]*a[4]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*b[2]*c[2]])/3486784401 - 
  (19084083200*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*b[2]*c[2]])/31381059609 + 
  (1024000*f[b[2]*c[1]]*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[2]*c[2]])/
   1594323 - (77209600*f[a[1]^2*b[2]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*b[2]*c[2]])/43046721 - 
  (1146880*f[1]*f[a[2]*b[2]*c[1]]*f[a[1]*b[2]*c[2]])/1594323 + 
  (42434560*f[a[1]^2]*f[a[2]*b[2]*c[1]]*f[a[1]*b[2]*c[2]])/43046721 - 
  (131891200*f[a[1]^4]*f[a[2]*b[2]*c[1]]*f[a[1]*b[2]*c[2]])/129140163 + 
  (14479360000*f[a[1]^6]*f[a[2]*b[2]*c[1]]*f[a[1]*b[2]*c[2]])/
   10460353203 - (617021440*f[a[2]^2]*f[a[2]*b[2]*c[1]]*
     f[a[1]*b[2]*c[2]])/387420489 + 
  (1346437120*f[a[1]^2*a[2]^2]*f[a[2]*b[2]*c[1]]*f[a[1]*b[2]*c[2]])/
   3486784401 + (73400320*f[a[1]*a[3]]*f[a[2]*b[2]*c[1]]*
     f[a[1]*b[2]*c[2]])/129140163 + 
  (73400320*f[a[1]^3*a[3]]*f[a[2]*b[2]*c[1]]*f[a[1]*b[2]*c[2]])/
   3486784401 - (627343360*f[a[3]^2]*f[a[2]*b[2]*c[1]]*
     f[a[1]*b[2]*c[2]])/10460353203 + 
  (4697620480*f[a[2]*a[4]]*f[a[2]*b[2]*c[1]]*f[a[1]*b[2]*c[2]])/
   10460353203 - (1835008000*f[a[1]*a[5]]*f[a[2]*b[2]*c[1]]*
     f[a[1]*b[2]*c[2]])/10460353203 - 
  (37273600*f[b[1]*c[1]]*f[a[2]*b[2]*c[1]]*f[a[1]*b[2]*c[2]])/
   129140163 + (1379123200*f[a[1]^2*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*
     f[a[1]*b[2]*c[2]])/3486784401 - 
  (4286464000*f[a[1]^4*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*f[a[1]*b[2]*c[2]])/
   10460353203 - (20053196800*f[a[2]^2*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*
     f[a[1]*b[2]*c[2]])/31381059609 + 
  (2385510400*f[a[1]*a[3]*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*
     f[a[1]*b[2]*c[2]])/10460353203 + 
  (587202560*f[a[1]^3]*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]*b[2]*c[2]])/
   387420489 - (29360128000*f[a[1]^5]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]*b[2]*c[2]])/10460353203 - 
  (9395240960*f[a[1]*a[2]^2]*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]*b[2]*c[2]])/
   31381059609 + (293601280*f[a[3]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]*b[2]*c[2]])/387420489 + 
  (2055208960*f[a[1]^2*a[3]]*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]*b[2]*c[2]])/
   3486784401 - (10276044800*f[a[5]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]*b[2]*c[2]])/31381059609 + 
  (19084083200*f[a[1]^3*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]*b[2]*c[2]])/31381059609 + 
  (9542041600*f[a[3]*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]*b[2]*c[2]])/31381059609 + 
  (104857600*f[a[2]*b[2]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]*b[2]*c[2]])/129140163 - 
  (293601280*f[a[1]*a[2]]*f[a[3]*b[2]*c[1]]*f[a[1]*b[2]*c[2]])/
   387420489 + (1468006400*f[a[1]^3*a[2]]*f[a[3]*b[2]*c[1]]*
     f[a[1]*b[2]*c[2]])/3486784401 + 
  (12624855040*f[a[2]*a[3]]*f[a[3]*b[2]*c[1]]*f[a[1]*b[2]*c[2]])/
   10460353203 - (1174405120*f[a[1]*a[4]]*f[a[3]*b[2]*c[1]]*
     f[a[1]*b[2]*c[2]])/1162261467 - 
  (9542041600*f[a[1]*a[2]*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[a[1]*b[2]*c[2]])/31381059609 + 
  (204800*f[b[2]*c[1]]*f[a[3]*b[2]*c[1]]*f[a[1]*b[2]*c[2]])/1594323 + 
  (204800*f[a[1]^2*b[2]*c[1]]*f[a[3]*b[2]*c[1]]*f[a[1]*b[2]*c[2]])/
   1594323 - (340480*f[a[1]]*f[b[3]*c[1]]*f[a[1]*b[2]*c[2]])/531441 + 
  (1702400*f[a[1]^3]*f[b[3]*c[1]]*f[a[1]*b[2]*c[2]])/4782969 - 
  (42560000*f[a[1]^5]*f[b[3]*c[1]]*f[a[1]*b[2]*c[2]])/129140163 - 
  (8852480*f[a[1]*a[2]^2]*f[b[3]*c[1]]*f[a[1]*b[2]*c[2]])/129140163 + 
  (340480*f[a[3]]*f[b[3]*c[1]]*f[a[1]*b[2]*c[2]])/4782969 - 
  (7831040*f[a[1]^2*a[3]]*f[b[3]*c[1]]*f[a[1]*b[2]*c[2]])/43046721 - 
  (22131200*f[a[5]]*f[b[3]*c[1]]*f[a[1]*b[2]*c[2]])/387420489 - 
  (15895040*f[a[1]*b[1]*c[1]]*f[b[3]*c[1]]*f[a[1]*b[2]*c[2]])/
   43046721 + (79475200*f[a[1]^3*b[1]*c[1]]*f[b[3]*c[1]]*
     f[a[1]*b[2]*c[2]])/387420489 + 
  (15895040*f[a[3]*b[1]*c[1]]*f[b[3]*c[1]]*f[a[1]*b[2]*c[2]])/
   387420489 + (162611200*f[a[2]*b[2]*c[1]]*f[b[3]*c[1]]*
     f[a[1]*b[2]*c[2]])/387420489 - 
  (340480*f[1]*f[a[1]*b[3]*c[1]]*f[a[1]*b[2]*c[2]])/531441 - 
  (340480*f[a[1]^2]*f[a[1]*b[3]*c[1]]*f[a[1]*b[2]*c[2]])/531441 + 
  (100441600*f[a[1]^4]*f[a[1]*b[3]*c[1]]*f[a[1]*b[2]*c[2]])/129140163 - 
  (3872960000*f[a[1]^6]*f[a[1]*b[3]*c[1]]*f[a[1]*b[2]*c[2]])/
   3486784401 + (147768320*f[a[2]^2]*f[a[1]*b[3]*c[1]]*
     f[a[1]*b[2]*c[2]])/387420489 - 
  (1588679680*f[a[1]^2*a[2]^2]*f[a[1]*b[3]*c[1]]*f[a[1]*b[2]*c[2]])/
   10460353203 - (348651520*f[a[1]^3*a[3]]*f[a[1]*b[3]*c[1]]*
     f[a[1]*b[2]*c[2]])/1162261467 + 
  (271362560*f[a[3]^2]*f[a[1]*b[3]*c[1]]*f[a[1]*b[2]*c[2]])/
   3486784401 - (1394606080*f[a[2]*a[4]]*f[a[1]*b[3]*c[1]]*
     f[a[1]*b[2]*c[2]])/10460353203 - 
  (15895040*f[b[1]*c[1]]*f[a[1]*b[3]*c[1]]*f[a[1]*b[2]*c[2]])/
   43046721 - (15895040*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[3]*c[1]]*
     f[a[1]*b[2]*c[2]])/43046721 + 
  (4689036800*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[3]*c[1]]*f[a[1]*b[2]*c[2]])/
   10460353203 + (6898447360*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[3]*c[1]]*
     f[a[1]*b[2]*c[2]])/31381059609 + 
  (28211200*f[b[3]*c[1]]*f[a[1]*b[3]*c[1]]*f[a[1]*b[2]*c[2]])/
   129140163 - (340480*f[a[1]]*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[2]*c[2]])/
   531441 - (128360960*f[a[1]^3]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]*b[2]*c[2]])/129140163 + 
  (7567168000*f[a[1]^5]*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[2]*c[2]])/
   3486784401 + (2072161280*f[a[1]*a[2]^2]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]*b[2]*c[2]])/10460353203 + 
  (340480*f[a[3]]*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[2]*c[2]])/4782969 - 
  (37112320*f[a[1]^2*a[3]]*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[2]*c[2]])/
   1162261467 - (22131200*f[a[5]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]*b[2]*c[2]])/387420489 - 
  (15895040*f[a[1]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[2]*c[2]])/
   43046721 - (5992430080*f[a[1]^3*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]*b[2]*c[2]])/10460353203 + 
  (15895040*f[a[3]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[2]*c[2]])/
   387420489 - (6016614400*f[a[2]*b[2]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]*b[2]*c[2]])/10460353203 + 
  (28211200*f[a[1]*b[3]*c[1]]*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[2]*c[2]])/
   129140163 + (174325760*f[a[1]*a[2]]*f[a[2]*b[3]*c[1]]*
     f[a[1]*b[2]*c[2]])/387420489 - 
  (871628800*f[a[1]^3*a[2]]*f[a[2]*b[3]*c[1]]*f[a[1]*b[2]*c[2]])/
   3486784401 - (174325760*f[a[2]*a[3]]*f[a[2]*b[3]*c[1]]*
     f[a[1]*b[2]*c[2]])/387420489 + 
  (697303040*f[a[1]*a[4]]*f[a[2]*b[3]*c[1]]*f[a[1]*b[2]*c[2]])/
   10460353203 + (8138260480*f[a[1]*a[2]*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[a[1]*b[2]*c[2]])/31381059609 - 
  (162611200*f[b[2]*c[1]]*f[a[2]*b[3]*c[1]]*f[a[1]*b[2]*c[2]])/
   387420489 + (6016614400*f[a[1]^2*b[2]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[a[1]*b[2]*c[2]])/10460353203 + 
  (8192000*f[a[2]]*f[b[4]*c[1]]*f[a[1]*b[2]*c[2]])/129140163 - 
  (40960000*f[a[1]^2*a[2]]*f[b[4]*c[1]]*f[a[1]*b[2]*c[2]])/3486784401 + 
  (204800000*f[a[1]^4*a[2]]*f[b[4]*c[1]]*f[a[1]*b[2]*c[2]])/
   31381059609 + (212992000*f[a[2]^3]*f[b[4]*c[1]]*f[a[1]*b[2]*c[2]])/
   10460353203 + (262144000*f[a[1]*a[2]*a[3]]*f[b[4]*c[1]]*
     f[a[1]*b[2]*c[2]])/31381059609 - 
  (32768000*f[a[4]]*f[b[4]*c[1]]*f[a[1]*b[2]*c[2]])/1162261467 + 
  (163840000*f[a[1]^2*a[4]]*f[b[4]*c[1]]*f[a[1]*b[2]*c[2]])/
   31381059609 + (204800000*f[a[6]]*f[b[4]*c[1]]*f[a[1]*b[2]*c[2]])/
   10460353203 + (593985536*f[a[2]*b[1]*c[1]]*f[b[4]*c[1]]*
     f[a[1]*b[2]*c[2]])/3486784401 - 
  (2969927680*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[4]*c[1]]*f[a[1]*b[2]*c[2]])/
   94143178827 - (2375942144*f[a[4]*b[1]*c[1]]*f[b[4]*c[1]]*
     f[a[1]*b[2]*c[2]])/31381059609 + 
  (1091747840*f[a[1]*b[2]*c[1]]*f[b[4]*c[1]]*f[a[1]*b[2]*c[2]])/
   3486784401 - (5458739200*f[a[1]^3*b[2]*c[1]]*f[b[4]*c[1]]*
     f[a[1]*b[2]*c[2]])/31381059609 - 
  (1091747840*f[a[3]*b[2]*c[1]]*f[b[4]*c[1]]*f[a[1]*b[2]*c[2]])/
   31381059609 + (5135564800*f[a[2]*b[3]*c[1]]*f[b[4]*c[1]]*
     f[a[1]*b[2]*c[2]])/31381059609 + 
  (1091747840*f[b[2]*c[1]]*f[a[1]*b[4]*c[1]]*f[a[1]*b[2]*c[2]])/
   3486784401 + (1091747840*f[a[1]^2*b[2]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[a[1]*b[2]*c[2]])/3486784401 + 
  (756973568*f[b[4]*c[1]]*f[a[1]*b[4]*c[1]]*f[a[1]*b[2]*c[2]])/
   31381059609 + (9756160*f[a[1]]*f[b[5]*c[1]]*f[a[1]*b[2]*c[2]])/
   43046721 - (48780800*f[a[1]^3]*f[b[5]*c[1]]*f[a[1]*b[2]*c[2]])/
   387420489 + (1219520000*f[a[1]^5]*f[b[5]*c[1]]*f[a[1]*b[2]*c[2]])/
   10460353203 + (253660160*f[a[1]*a[2]^2]*f[b[5]*c[1]]*
     f[a[1]*b[2]*c[2]])/10460353203 - 
  (9756160*f[a[3]]*f[b[5]*c[1]]*f[a[1]*b[2]*c[2]])/387420489 + 
  (224391680*f[a[1]^2*a[3]]*f[b[5]*c[1]]*f[a[1]*b[2]*c[2]])/
   3486784401 + (634150400*f[a[5]]*f[b[5]*c[1]]*f[a[1]*b[2]*c[2]])/
   31381059609 + (306726400*f[a[1]*b[1]*c[1]]*f[b[5]*c[1]]*
     f[a[1]*b[2]*c[2]])/3486784401 - 
  (1533632000*f[a[1]^3*b[1]*c[1]]*f[b[5]*c[1]]*f[a[1]*b[2]*c[2]])/
   31381059609 - (306726400*f[a[3]*b[1]*c[1]]*f[b[5]*c[1]]*
     f[a[1]*b[2]*c[2]])/31381059609 - 
  (2310553600*f[a[2]*b[2]*c[1]]*f[b[5]*c[1]]*f[a[1]*b[2]*c[2]])/
   10460353203 - (1426278400*f[a[1]*b[3]*c[1]]*f[b[5]*c[1]]*
     f[a[1]*b[2]*c[2]])/10460353203 - 
  (573440*f[a[2]]*f[b[1]*c[2]]*f[a[1]*b[2]*c[2]])/1594323 + 
  (2867200*f[a[1]^2*a[2]]*f[b[1]*c[2]]*f[a[1]*b[2]*c[2]])/43046721 - 
  (14336000*f[a[1]^4*a[2]]*f[b[1]*c[2]]*f[a[1]*b[2]*c[2]])/387420489 - 
  (14909440*f[a[2]^3]*f[b[1]*c[2]]*f[a[1]*b[2]*c[2]])/129140163 - 
  (18350080*f[a[1]*a[2]*a[3]]*f[b[1]*c[2]]*f[a[1]*b[2]*c[2]])/
   387420489 + (2293760*f[a[4]]*f[b[1]*c[2]]*f[a[1]*b[2]*c[2]])/
   14348907 - (11468800*f[a[1]^2*a[4]]*f[b[1]*c[2]]*f[a[1]*b[2]*c[2]])/
   387420489 - (14336000*f[a[6]]*f[b[1]*c[2]]*f[a[1]*b[2]*c[2]])/
   129140163 - (18636800*f[a[2]*b[1]*c[1]]*f[b[1]*c[2]]*
     f[a[1]*b[2]*c[2]])/129140163 + 
  (93184000*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[1]*c[2]]*f[a[1]*b[2]*c[2]])/
   3486784401 + (74547200*f[a[4]*b[1]*c[1]]*f[b[1]*c[2]]*
     f[a[1]*b[2]*c[2]])/1162261467 - 
  (19468288*f[a[1]*b[2]*c[1]]*f[b[1]*c[2]]*f[a[1]*b[2]*c[2]])/
   43046721 + (97341440*f[a[1]^3*b[2]*c[1]]*f[b[1]*c[2]]*
     f[a[1]*b[2]*c[2]])/387420489 + 
  (19468288*f[a[3]*b[2]*c[1]]*f[b[1]*c[2]]*f[a[1]*b[2]*c[2]])/
   387420489 + (5218304*f[a[2]*b[3]*c[1]]*f[b[1]*c[2]]*
     f[a[1]*b[2]*c[2]])/43046721 - 
  (139059200*f[a[1]*b[4]*c[1]]*f[b[1]*c[2]]*f[a[1]*b[2]*c[2]])/
   3486784401 - (19468288*f[b[2]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[a[1]*b[2]*c[2]])/43046721 - 
  (19468288*f[a[1]^2*b[2]*c[1]]*f[a[1]*b[1]*c[2]]*f[a[1]*b[2]*c[2]])/
   43046721 - (139059200*f[b[4]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[a[1]*b[2]*c[2]])/3486784401 - 
  (51200*f[b[1]*c[2]]*f[a[1]*b[1]*c[2]]*f[a[1]*b[2]*c[2]])/177147 + 
  (21217280*f[a[2]]*f[a[1]^2*b[1]*c[2]]*f[a[1]*b[2]*c[2]])/43046721 + 
  (62504960*f[a[1]^2*a[2]]*f[a[1]^2*b[1]*c[2]]*f[a[1]*b[2]*c[2]])/
   387420489 - (2405580800*f[a[1]^4*a[2]]*f[a[1]^2*b[1]*c[2]]*
     f[a[1]*b[2]*c[2]])/10460353203 - 
  (3042672640*f[a[2]^3]*f[a[1]^2*b[1]*c[2]]*f[a[1]*b[2]*c[2]])/
   10460353203 + (128450560*f[a[1]*a[2]*a[3]]*f[a[1]^2*b[1]*c[2]]*
     f[a[1]*b[2]*c[2]])/3486784401 - 
  (84869120*f[a[4]]*f[a[1]^2*b[1]*c[2]]*f[a[1]*b[2]*c[2]])/387420489 - 
  (250019840*f[a[1]^2*a[4]]*f[a[1]^2*b[1]*c[2]]*f[a[1]*b[2]*c[2]])/
   3486784401 + (530432000*f[a[6]]*f[a[1]^2*b[1]*c[2]]*
     f[a[1]*b[2]*c[2]])/3486784401 + 
  (689561600*f[a[2]*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]]*f[a[1]*b[2]*c[2]])/
   3486784401 + (2031411200*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[2]]*f[a[1]*b[2]*c[2]])/31381059609 - 
  (2758246400*f[a[4]*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]]*f[a[1]*b[2]*c[2]])/
   31381059609 - (19468288*f[a[1]*b[2]*c[1]]*f[a[1]^2*b[1]*c[2]]*
     f[a[1]*b[2]*c[2]])/43046721 - 
  (7339544576*f[a[1]^3*b[2]*c[1]]*f[a[1]^2*b[1]*c[2]]*
     f[a[1]*b[2]*c[2]])/10460353203 + 
  (19468288*f[a[3]*b[2]*c[1]]*f[a[1]^2*b[1]*c[2]]*f[a[1]*b[2]*c[2]])/
   387420489 - (193077248*f[a[2]*b[3]*c[1]]*f[a[1]^2*b[1]*c[2]]*
     f[a[1]*b[2]*c[2]])/1162261467 - 
  (139059200*f[a[1]*b[4]*c[1]]*f[a[1]^2*b[1]*c[2]]*f[a[1]*b[2]*c[2]])/
   3486784401 - (51200*f[a[1]*b[1]*c[2]]*f[a[1]^2*b[1]*c[2]]*
     f[a[1]*b[2]*c[2]])/177147 + 
  (293601280*f[a[1]*a[2]]*f[a[1]^3*b[1]*c[2]]*f[a[1]*b[2]*c[2]])/
   387420489 + (4991221760*f[a[1]^3*a[2]]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]*b[2]*c[2]])/10460353203 - 
  (293601280*f[a[2]*a[3]]*f[a[1]^3*b[1]*c[2]]*f[a[1]*b[2]*c[2]])/
   3486784401 - (1174405120*f[a[1]*a[4]]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]*b[2]*c[2]])/3486784401 + 
  (9542041600*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]*b[2]*c[2]])/31381059609 + 
  (97341440*f[b[2]*c[1]]*f[a[1]^3*b[1]*c[2]]*f[a[1]*b[2]*c[2]])/
   387420489 - (7339544576*f[a[1]^2*b[2]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]*b[2]*c[2]])/10460353203 + 
  (695296000*f[b[4]*c[1]]*f[a[1]^3*b[1]*c[2]]*f[a[1]*b[2]*c[2]])/
   31381059609 + (256000*f[b[1]*c[2]]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]*b[2]*c[2]])/1594323 - 
  (19302400*f[a[1]^2*b[1]*c[2]]*f[a[1]^3*b[1]*c[2]]*f[a[1]*b[2]*c[2]])/
   43046721 + (573440*f[1]*f[a[2]*b[1]*c[2]]*f[a[1]*b[2]*c[2]])/
   1594323 - (21217280*f[a[1]^2]*f[a[2]*b[1]*c[2]]*f[a[1]*b[2]*c[2]])/
   43046721 + (65945600*f[a[1]^4]*f[a[2]*b[1]*c[2]]*f[a[1]*b[2]*c[2]])/
   129140163 - (7239680000*f[a[1]^6]*f[a[2]*b[1]*c[2]]*
     f[a[1]*b[2]*c[2]])/10460353203 + 
  (308510720*f[a[2]^2]*f[a[2]*b[1]*c[2]]*f[a[1]*b[2]*c[2]])/387420489 - 
  (673218560*f[a[1]^2*a[2]^2]*f[a[2]*b[1]*c[2]]*f[a[1]*b[2]*c[2]])/
   3486784401 - (36700160*f[a[1]*a[3]]*f[a[2]*b[1]*c[2]]*
     f[a[1]*b[2]*c[2]])/129140163 - 
  (36700160*f[a[1]^3*a[3]]*f[a[2]*b[1]*c[2]]*f[a[1]*b[2]*c[2]])/
   3486784401 + (313671680*f[a[3]^2]*f[a[2]*b[1]*c[2]]*
     f[a[1]*b[2]*c[2]])/10460353203 - 
  (2348810240*f[a[2]*a[4]]*f[a[2]*b[1]*c[2]]*f[a[1]*b[2]*c[2]])/
   10460353203 + (917504000*f[a[1]*a[5]]*f[a[2]*b[1]*c[2]]*
     f[a[1]*b[2]*c[2]])/10460353203 + 
  (18636800*f[b[1]*c[1]]*f[a[2]*b[1]*c[2]]*f[a[1]*b[2]*c[2]])/
   129140163 - (689561600*f[a[1]^2*b[1]*c[1]]*f[a[2]*b[1]*c[2]]*
     f[a[1]*b[2]*c[2]])/3486784401 + 
  (2143232000*f[a[1]^4*b[1]*c[1]]*f[a[2]*b[1]*c[2]]*f[a[1]*b[2]*c[2]])/
   10460353203 + (10026598400*f[a[2]^2*b[1]*c[1]]*f[a[2]*b[1]*c[2]]*
     f[a[1]*b[2]*c[2]])/31381059609 - 
  (1192755200*f[a[1]*a[3]*b[1]*c[1]]*f[a[2]*b[1]*c[2]]*
     f[a[1]*b[2]*c[2]])/10460353203 + 
  (9967763456*f[a[1]*a[2]*b[2]*c[1]]*f[a[2]*b[1]*c[2]]*
     f[a[1]*b[2]*c[2]])/31381059609 - 
  (5218304*f[b[3]*c[1]]*f[a[2]*b[1]*c[2]]*f[a[1]*b[2]*c[2]])/43046721 + 
  (193077248*f[a[1]^2*b[3]*c[1]]*f[a[2]*b[1]*c[2]]*f[a[1]*b[2]*c[2]])/
   1162261467 + (3294126080*f[b[5]*c[1]]*f[a[2]*b[1]*c[2]]*
     f[a[1]*b[2]*c[2]])/31381059609 - 
  (293601280*f[a[1]^3]*f[a[1]*a[2]*b[1]*c[2]]*f[a[1]*b[2]*c[2]])/
   387420489 + (14680064000*f[a[1]^5]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[1]*b[2]*c[2]])/10460353203 + 
  (4697620480*f[a[1]*a[2]^2]*f[a[1]*a[2]*b[1]*c[2]]*f[a[1]*b[2]*c[2]])/
   31381059609 - (146800640*f[a[3]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[1]*b[2]*c[2]])/387420489 - 
  (1027604480*f[a[1]^2*a[3]]*f[a[1]*a[2]*b[1]*c[2]]*f[a[1]*b[2]*c[2]])/
   3486784401 + (5138022400*f[a[5]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[1]*b[2]*c[2]])/31381059609 - 
  (9542041600*f[a[1]^3*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[1]*b[2]*c[2]])/31381059609 - 
  (4771020800*f[a[3]*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[1]*b[2]*c[2]])/31381059609 + 
  (9967763456*f[a[2]*b[2]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[1]*b[2]*c[2]])/31381059609 + 
  (26214400*f[a[2]*b[1]*c[2]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[1]*b[2]*c[2]])/129140163 + 
  (146800640*f[a[1]*a[2]]*f[a[3]*b[1]*c[2]]*f[a[1]*b[2]*c[2]])/
   387420489 - (734003200*f[a[1]^3*a[2]]*f[a[3]*b[1]*c[2]]*
     f[a[1]*b[2]*c[2]])/3486784401 - 
  (6312427520*f[a[2]*a[3]]*f[a[3]*b[1]*c[2]]*f[a[1]*b[2]*c[2]])/
   10460353203 + (587202560*f[a[1]*a[4]]*f[a[3]*b[1]*c[2]]*
     f[a[1]*b[2]*c[2]])/1162261467 + 
  (4771020800*f[a[1]*a[2]*b[1]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[a[1]*b[2]*c[2]])/31381059609 + 
  (19468288*f[b[2]*c[1]]*f[a[3]*b[1]*c[2]]*f[a[1]*b[2]*c[2]])/
   387420489 + (19468288*f[a[1]^2*b[2]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[a[1]*b[2]*c[2]])/387420489 + 
  (139059200*f[b[4]*c[1]]*f[a[3]*b[1]*c[2]]*f[a[1]*b[2]*c[2]])/
   31381059609 + (51200*f[b[1]*c[2]]*f[a[3]*b[1]*c[2]]*
     f[a[1]*b[2]*c[2]])/1594323 + 
  (51200*f[a[1]^2*b[1]*c[2]]*f[a[3]*b[1]*c[2]]*f[a[1]*b[2]*c[2]])/
   1594323 - (129952*f[a[1]]*f[b[2]*c[2]]*f[a[1]*b[2]*c[2]])/177147 + 
  (649760*f[a[1]^3]*f[b[2]*c[2]]*f[a[1]*b[2]*c[2]])/1594323 - 
  (16244000*f[a[1]^5]*f[b[2]*c[2]]*f[a[1]*b[2]*c[2]])/43046721 - 
  (3378752*f[a[1]*a[2]^2]*f[b[2]*c[2]]*f[a[1]*b[2]*c[2]])/43046721 + 
  (129952*f[a[3]]*f[b[2]*c[2]]*f[a[1]*b[2]*c[2]])/1594323 - 
  (2988896*f[a[1]^2*a[3]]*f[b[2]*c[2]]*f[a[1]*b[2]*c[2]])/14348907 - 
  (8446880*f[a[5]]*f[b[2]*c[2]]*f[a[1]*b[2]*c[2]])/129140163 + 
  (13963552*f[a[1]*b[1]*c[1]]*f[b[2]*c[2]]*f[a[1]*b[2]*c[2]])/
   43046721 - (69817760*f[a[1]^3*b[1]*c[1]]*f[b[2]*c[2]]*
     f[a[1]*b[2]*c[2]])/387420489 - 
  (13963552*f[a[3]*b[1]*c[1]]*f[b[2]*c[2]]*f[a[1]*b[2]*c[2]])/
   387420489 + (133137920*f[a[1]*b[3]*c[1]]*f[b[2]*c[2]]*
     f[a[1]*b[2]*c[2]])/129140163 - 
  (64976*f[1]*f[a[1]*b[2]*c[2]]^2)/177147 - 
  (64976*f[a[1]^2]*f[a[1]*b[2]*c[2]]^2)/177147 + 
  (19167920*f[a[1]^4]*f[a[1]*b[2]*c[2]]^2)/43046721 - 
  (739102000*f[a[1]^6]*f[a[1]*b[2]*c[2]]^2)/1162261467 + 
  (28199584*f[a[2]^2]*f[a[1]*b[2]*c[2]]^2)/129140163 - 
  (303178016*f[a[1]^2*a[2]^2]*f[a[1]*b[2]*c[2]]^2)/3486784401 - 
  (66535424*f[a[1]^3*a[3]]*f[a[1]*b[2]*c[2]]^2)/387420489 + 
  (51785872*f[a[3]^2]*f[a[1]*b[2]*c[2]]^2)/1162261467 - 
  (266141696*f[a[2]*a[4]]*f[a[1]*b[2]*c[2]]^2)/3486784401 + 
  (6981776*f[b[1]*c[1]]*f[a[1]*b[2]*c[2]]^2)/43046721 + 
  (6981776*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[2]*c[2]]^2)/43046721 - 
  (2059623920*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[2]*c[2]]^2)/10460353203 - 
  (3030090784*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[2]*c[2]]^2)/31381059609 + 
  (66568960*f[b[3]*c[1]]*f[a[1]*b[2]*c[2]]^2)/129140163 + 
  (66568960*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[2]*c[2]]^2)/129140163 - 
  (945882880*f[b[5]*c[1]]*f[a[1]*b[2]*c[2]]^2)/3486784401 - 
  (15376*f[b[2]*c[2]]*f[a[1]*b[2]*c[2]]^2)/59049 + 
  (95*f[1]^2*f[a[1]^2*b[2]*c[2]])/2187 - 
  (304*f[a[1]]^2*f[a[1]^2*b[2]*c[2]])/2187 - 
  (6802*f[1]*f[a[1]^2]*f[a[1]^2*b[2]*c[2]])/19683 - 
  (158099*f[a[1]^2]^2*f[a[1]^2*b[2]*c[2]])/531441 - 
  (229216*f[a[1]]*f[a[1]^3]*f[a[1]^2*b[2]*c[2]])/531441 - 
  (10110128*f[a[1]^3]^2*f[a[1]^2*b[2]*c[2]])/14348907 + 
  (199310*f[1]*f[a[1]^4]*f[a[1]^2*b[2]*c[2]])/531441 - 
  (9926854*f[a[1]^2]*f[a[1]^4]*f[a[1]^2*b[2]*c[2]])/14348907 - 
  (261662737*f[a[1]^4]^2*f[a[1]^2*b[2]*c[2]])/129140163 + 
  (13512800*f[a[1]]*f[a[1]^5]*f[a[1]^2*b[2]*c[2]])/14348907 - 
  (165622240*f[a[1]^3]*f[a[1]^5]*f[a[1]^2*b[2]*c[2]])/129140163 - 
  (8198705200*f[a[1]^5]^2*f[a[1]^2*b[2]*c[2]])/1162261467 - 
  (7414750*f[1]*f[a[1]^6]*f[a[1]^2*b[2]*c[2]])/14348907 + 
  (370996850*f[a[1]^2]*f[a[1]^6]*f[a[1]^2*b[2]*c[2]])/129140163 - 
  (2718441530*f[a[1]^4]*f[a[1]^6]*f[a[1]^2*b[2]*c[2]])/1162261467 - 
  (918899066155*f[a[1]^6]^2*f[a[1]^2*b[2]*c[2]])/31381059609 + 
  (82688*f[a[2]]^2*f[a[1]^2*b[2]*c[2]])/1594323 + 
  (3424256*f[a[1]*a[2]]^2*f[a[1]^2*b[2]*c[2]])/43046721 + 
  (4153856*f[a[2]]*f[a[1]^2*a[2]]*f[a[1]^2*b[2]*c[2]])/43046721 + 
  (104454400*f[a[1]^2*a[2]]^2*f[a[1]^2*b[2]*c[2]])/387420489 + 
  (41713664*f[a[1]*a[2]]*f[a[1]^3*a[2]]*f[a[1]^2*b[2]*c[2]])/
   129140163 + (9421373440*f[a[1]^3*a[2]]^2*f[a[1]^2*b[2]*c[2]])/
   10460353203 - (15224320*f[a[2]]*f[a[1]^4*a[2]]*f[a[1]^2*b[2]*c[2]])/
   129140163 + (8929710592*f[a[1]^2*a[2]]*f[a[1]^4*a[2]]*
     f[a[1]^2*b[2]*c[2]])/10460353203 + 
  (936274409728*f[a[1]^4*a[2]]^2*f[a[1]^2*b[2]*c[2]])/282429536481 - 
  (296476*f[1]*f[a[2]^2]*f[a[1]^2*b[2]*c[2]])/1594323 + 
  (21444236*f[a[1]^2]*f[a[2]^2]*f[a[1]^2*b[2]*c[2]])/43046721 - 
  (525797564*f[a[1]^4]*f[a[2]^2]*f[a[1]^2*b[2]*c[2]])/387420489 + 
  (31578526300*f[a[1]^6]*f[a[2]^2]*f[a[1]^2*b[2]*c[2]])/10460353203 - 
  (129929068*f[a[2]^2]^2*f[a[1]^2*b[2]*c[2]])/387420489 + 
  (3700288*f[a[1]]*f[a[1]*a[2]^2]*f[a[1]^2*b[2]*c[2]])/43046721 + 
  (141504704*f[a[1]^3]*f[a[1]*a[2]^2]*f[a[1]^2*b[2]*c[2]])/387420489 - 
  (33039139520*f[a[1]^5]*f[a[1]*a[2]^2]*f[a[1]^2*b[2]*c[2]])/
   10460353203 - (3048340544*f[a[1]*a[2]^2]^2*f[a[1]^2*b[2]*c[2]])/
   31381059609 - (35188*f[1]*f[a[1]^2*a[2]^2]*f[a[1]^2*b[2]*c[2]])/
   43046721 + (43199084*f[a[1]^2]*f[a[1]^2*a[2]^2]*
     f[a[1]^2*b[2]*c[2]])/387420489 + 
  (338588588*f[a[1]^4]*f[a[1]^2*a[2]^2]*f[a[1]^2*b[2]*c[2]])/
   10460353203 - (2522102479820*f[a[1]^6]*f[a[1]^2*a[2]^2]*
     f[a[1]^2*b[2]*c[2]])/282429536481 + 
  (10555170472*f[a[2]^2]*f[a[1]^2*a[2]^2]*f[a[1]^2*b[2]*c[2]])/
   31381059609 - (123676002700*f[a[1]^2*a[2]^2]^2*f[a[1]^2*b[2]*c[2]])/
   282429536481 + (27997184*f[a[2]]*f[a[2]^3]*f[a[1]^2*b[2]*c[2]])/
   43046721 - (14817436672*f[a[1]^2*a[2]]*f[a[2]^3]*
     f[a[1]^2*b[2]*c[2]])/10460353203 + 
  (996855651328*f[a[1]^4*a[2]]*f[a[2]^3]*f[a[1]^2*b[2]*c[2]])/
   282429536481 + (19341306880*f[a[2]^3]^2*f[a[1]^2*b[2]*c[2]])/
   10460353203 + (608*f[a[1]]*f[a[3]]*f[a[1]^2*b[2]*c[2]])/19683 + 
  (229216*f[a[1]^3]*f[a[3]]*f[a[1]^2*b[2]*c[2]])/4782969 - 
  (13512800*f[a[1]^5]*f[a[3]]*f[a[1]^2*b[2]*c[2]])/129140163 + 
  (155683264*f[a[1]*a[2]^2]*f[a[3]]*f[a[1]^2*b[2]*c[2]])/387420489 + 
  (948176*f[a[3]]^2*f[a[1]^2*b[2]*c[2]])/14348907 + 
  (8512*f[1]*f[a[1]*a[3]]*f[a[1]^2*b[2]*c[2]])/177147 + 
  (132544*f[a[1]^2]*f[a[1]*a[3]]*f[a[1]^2*b[2]*c[2]])/4782969 + 
  (15308224*f[a[1]^4]*f[a[1]*a[3]]*f[a[1]^2*b[2]*c[2]])/129140163 - 
  (437729600*f[a[1]^6]*f[a[1]*a[3]]*f[a[1]^2*b[2]*c[2]])/1162261467 + 
  (154838144*f[a[2]^2]*f[a[1]*a[3]]*f[a[1]^2*b[2]*c[2]])/387420489 + 
  (499384448*f[a[1]^2*a[2]^2]*f[a[1]*a[3]]*f[a[1]^2*b[2]*c[2]])/
   3486784401 - (9290240*f[a[1]*a[3]]^2*f[a[1]^2*b[2]*c[2]])/43046721 - 
  (66272*f[a[1]]*f[a[1]^2*a[3]]*f[a[1]^2*b[2]*c[2]])/4782969 + 
  (7842592*f[a[1]^3]*f[a[1]^2*a[3]]*f[a[1]^2*b[2]*c[2]])/129140163 + 
  (408852640*f[a[1]^5]*f[a[1]^2*a[3]]*f[a[1]^2*b[2]*c[2]])/1162261467 - 
  (74899520*f[a[1]*a[2]^2]*f[a[1]^2*a[3]]*f[a[1]^2*b[2]*c[2]])/
   3486784401 - (69453664*f[a[3]]*f[a[1]^2*a[3]]*f[a[1]^2*b[2]*c[2]])/
   129140163 - (1636065680*f[a[1]^2*a[3]]^2*f[a[1]^2*b[2]*c[2]])/
   3486784401 - (750272*f[1]*f[a[1]^3*a[3]]*f[a[1]^2*b[2]*c[2]])/
   4782969 - (15685184*f[a[1]^2]*f[a[1]^3*a[3]]*f[a[1]^2*b[2]*c[2]])/
   129140163 + (255300416*f[a[1]^4]*f[a[1]^3*a[3]]*
     f[a[1]^2*b[2]*c[2]])/1162261467 + 
  (12735356480*f[a[1]^6]*f[a[1]^3*a[3]]*f[a[1]^2*b[2]*c[2]])/
   10460353203 - (2366781056*f[a[2]^2]*f[a[1]^3*a[3]]*
     f[a[1]^2*b[2]*c[2]])/3486784401 - 
  (61085976448*f[a[1]^2*a[2]^2]*f[a[1]^3*a[3]]*f[a[1]^2*b[2]*c[2]])/
   94143178827 - (2360888320*f[a[1]*a[3]]*f[a[1]^3*a[3]]*
     f[a[1]^2*b[2]*c[2]])/3486784401 - 
  (106582312448*f[a[1]^3*a[3]]^2*f[a[1]^2*b[2]*c[2]])/94143178827 - 
  (32997376*f[a[1]*a[2]]*f[a[2]*a[3]]*f[a[1]^2*b[2]*c[2]])/129140163 + 
  (1610645504*f[a[1]^3*a[2]]*f[a[2]*a[3]]*f[a[1]^2*b[2]*c[2]])/
   3486784401 + (834584576*f[a[2]*a[3]]^2*f[a[1]^2*b[2]*c[2]])/
   10460353203 - (26460160*f[a[2]]*f[a[1]*a[2]*a[3]]*
     f[a[1]^2*b[2]*c[2]])/129140163 - 
  (171524096*f[a[1]^2*a[2]]*f[a[1]*a[2]*a[3]]*f[a[1]^2*b[2]*c[2]])/
   3486784401 + (73433792512*f[a[1]^4*a[2]]*f[a[1]*a[2]*a[3]]*
     f[a[1]^2*b[2]*c[2]])/94143178827 - 
  (28441870336*f[a[2]^3]*f[a[1]*a[2]*a[3]]*f[a[1]^2*b[2]*c[2]])/
   31381059609 + (55213948928*f[a[1]*a[2]*a[3]]^2*f[a[1]^2*b[2]*c[2]])/
   282429536481 - (228038*f[1]*f[a[3]^2]*f[a[1]^2*b[2]*c[2]])/
   14348907 + (5023562*f[a[1]^2]*f[a[3]^2]*f[a[1]^2*b[2]*c[2]])/
   129140163 - (204774742*f[a[1]^4]*f[a[3]^2]*f[a[1]^2*b[2]*c[2]])/
   3486784401 + (9849122150*f[a[1]^6]*f[a[3]^2]*f[a[1]^2*b[2]*c[2]])/
   94143178827 + (414291884*f[a[2]^2]*f[a[3]^2]*f[a[1]^2*b[2]*c[2]])/
   10460353203 - (137735968348*f[a[1]^2*a[2]^2]*f[a[3]^2]*
     f[a[1]^2*b[2]*c[2]])/282429536481 + 
  (104990656*f[a[1]*a[3]]*f[a[3]^2]*f[a[1]^2*b[2]*c[2]])/1162261467 + 
  (1768675648*f[a[1]^3*a[3]]*f[a[3]^2]*f[a[1]^2*b[2]*c[2]])/
   10460353203 + (6345686557*f[a[3]^2]^2*f[a[1]^2*b[2]*c[2]])/
   31381059609 - (3540992*f[a[2]]*f[a[4]]*f[a[1]^2*b[2]*c[2]])/
   43046721 + (13035520*f[a[1]^2*a[2]]*f[a[4]]*f[a[1]^2*b[2]*c[2]])/
   129140163 - (1084672000*f[a[1]^4*a[2]]*f[a[4]]*f[a[1]^2*b[2]*c[2]])/
   10460353203 - (594964480*f[a[2]^3]*f[a[4]]*f[a[1]^2*b[2]*c[2]])/
   10460353203 - (342425600*f[a[1]*a[2]*a[3]]*f[a[4]]*
     f[a[1]^2*b[2]*c[2]])/1162261467 - 
  (27160576*f[a[4]]^2*f[a[1]^2*b[2]*c[2]])/387420489 + 
  (17432576*f[a[1]*a[2]]*f[a[1]*a[4]]*f[a[1]^2*b[2]*c[2]])/387420489 + 
  (376045568*f[a[1]^3*a[2]]*f[a[1]*a[4]]*f[a[1]^2*b[2]*c[2]])/
   10460353203 - (1123155968*f[a[2]*a[3]]*f[a[1]*a[4]]*
     f[a[1]^2*b[2]*c[2]])/3486784401 + 
  (951320576*f[a[1]*a[4]]^2*f[a[1]^2*b[2]*c[2]])/3486784401 + 
  (13035520*f[a[2]]*f[a[1]^2*a[4]]*f[a[1]^2*b[2]*c[2]])/129140163 + 
  (83388416*f[a[1]^2*a[2]]*f[a[1]^2*a[4]]*f[a[1]^2*b[2]*c[2]])/
   10460353203 - (25835739136*f[a[1]^4*a[2]]*f[a[1]^2*a[4]]*
     f[a[1]^2*b[2]*c[2]])/282429536481 + 
  (2138058752*f[a[2]^3]*f[a[1]^2*a[4]]*f[a[1]^2*b[2]*c[2]])/
   282429536481 + (972488704*f[a[1]*a[2]*a[3]]*f[a[1]^2*a[4]]*
     f[a[1]^2*b[2]*c[2]])/94143178827 + 
  (2295341056*f[a[4]]*f[a[1]^2*a[4]]*f[a[1]^2*b[2]*c[2]])/3486784401 + 
  (56819691520*f[a[1]^2*a[4]]^2*f[a[1]^2*b[2]*c[2]])/94143178827 + 
  (3346432*f[1]*f[a[2]*a[4]]*f[a[1]^2*b[2]*c[2]])/43046721 - 
  (26071040*f[a[1]^2]*f[a[2]*a[4]]*f[a[1]^2*b[2]*c[2]])/129140163 + 
  (6087938048*f[a[1]^4]*f[a[2]*a[4]]*f[a[1]^2*b[2]*c[2]])/10460353203 - 
  (370697113600*f[a[1]^6]*f[a[2]*a[4]]*f[a[1]^2*b[2]*c[2]])/
   282429536481 + (6975053824*f[a[2]^2]*f[a[2]*a[4]]*
     f[a[1]^2*b[2]*c[2]])/31381059609 - 
  (64893231104*f[a[1]^2*a[2]^2]*f[a[2]*a[4]]*f[a[1]^2*b[2]*c[2]])/
   282429536481 + (845479936*f[a[1]*a[3]]*f[a[2]*a[4]]*
     f[a[1]^2*b[2]*c[2]])/3486784401 - 
  (54082076672*f[a[1]^3*a[3]]*f[a[2]*a[4]]*f[a[1]^2*b[2]*c[2]])/
   94143178827 + (26122792960*f[a[3]^2]*f[a[2]*a[4]]*
     f[a[1]^2*b[2]*c[2]])/282429536481 - 
  (118621208576*f[a[2]*a[4]]^2*f[a[1]^2*b[2]*c[2]])/847288609443 - 
  (39520*f[a[1]]*f[a[5]]*f[a[1]^2*b[2]*c[2]])/1594323 - 
  (14899040*f[a[1]^3]*f[a[5]]*f[a[1]^2*b[2]*c[2]])/387420489 + 
  (878332000*f[a[1]^5]*f[a[5]]*f[a[1]^2*b[2]*c[2]])/10460353203 - 
  (5337905600*f[a[1]*a[2]^2]*f[a[5]]*f[a[1]^2*b[2]*c[2]])/31381059609 - 
  (878560*f[a[3]]*f[a[5]]*f[a[1]^2*b[2]*c[2]])/387420489 + 
  (21781600*f[a[1]^2*a[3]]*f[a[5]]*f[a[1]^2*b[2]*c[2]])/1162261467 + 
  (3454754800*f[a[5]]^2*f[a[1]^2*b[2]*c[2]])/31381059609 - 
  (553280*f[1]*f[a[1]*a[5]]*f[a[1]^2*b[2]*c[2]])/14348907 - 
  (8615360*f[a[1]^2]*f[a[1]*a[5]]*f[a[1]^2*b[2]*c[2]])/387420489 - 
  (995034560*f[a[1]^4]*f[a[1]*a[5]]*f[a[1]^2*b[2]*c[2]])/10460353203 + 
  (28452424000*f[a[1]^6]*f[a[1]*a[5]]*f[a[1]^2*b[2]*c[2]])/
   94143178827 - (4535862400*f[a[2]^2]*f[a[1]*a[5]]*
     f[a[1]^2*b[2]*c[2]])/31381059609 - 
  (16172982400*f[a[1]^2*a[2]^2]*f[a[1]*a[5]]*f[a[1]^2*b[2]*c[2]])/
   282429536481 + (49710080*f[a[1]*a[3]]*f[a[1]*a[5]]*
     f[a[1]^2*b[2]*c[2]])/3486784401 + 
  (881454080*f[a[1]^3*a[3]]*f[a[1]*a[5]]*f[a[1]^2*b[2]*c[2]])/
   31381059609 + (123734080*f[a[3]^2]*f[a[1]*a[5]]*
     f[a[1]^2*b[2]*c[2]])/94143178827 + 
  (373250129920*f[a[2]*a[4]]*f[a[1]*a[5]]*f[a[1]^2*b[2]*c[2]])/
   847288609443 - (100290183680*f[a[1]*a[5]]^2*f[a[1]^2*b[2]*c[2]])/
   282429536481 + (7247360*f[a[2]]*f[a[6]]*f[a[1]^2*b[2]*c[2]])/
   129140163 - (230485504*f[a[1]^2*a[2]]*f[a[6]]*f[a[1]^2*b[2]*c[2]])/
   3486784401 + (2123671040*f[a[1]^4*a[2]]*f[a[6]]*
     f[a[1]^2*b[2]*c[2]])/31381059609 + 
  (1441903616*f[a[2]^3]*f[a[6]]*f[a[1]^2*b[2]*c[2]])/31381059609 + 
  (34357428224*f[a[1]*a[2]*a[3]]*f[a[6]]*f[a[1]^2*b[2]*c[2]])/
   282429536481 - (76072960*f[a[4]]*f[a[6]]*f[a[1]^2*b[2]*c[2]])/
   3486784401 + (531888128*f[a[1]^2*a[4]]*f[a[6]]*f[a[1]^2*b[2]*c[2]])/
   31381059609 - (11634955520*f[a[6]]^2*f[a[1]^2*b[2]*c[2]])/
   94143178827 + (38270*f[1]*f[b[1]*c[1]]*f[a[1]^2*b[2]*c[2]])/177147 - 
  (1370066*f[a[1]^2]*f[b[1]*c[1]]*f[a[1]^2*b[2]*c[2]])/1594323 + 
  (40145230*f[a[1]^4]*f[b[1]*c[1]]*f[a[1]^2*b[2]*c[2]])/43046721 - 
  (1493486750*f[a[1]^6]*f[b[1]*c[1]]*f[a[1]^2*b[2]*c[2]])/1162261467 - 
  (59716508*f[a[2]^2]*f[b[1]*c[1]]*f[a[1]^2*b[2]*c[2]])/129140163 - 
  (7087604*f[a[1]^2*a[2]^2]*f[b[1]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   3486784401 + (1714496*f[a[1]*a[3]]*f[b[1]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/14348907 - 
  (151120576*f[a[1]^3*a[3]]*f[b[1]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   387420489 - (45931654*f[a[3]^2]*f[b[1]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   1162261467 + (674041856*f[a[2]*a[4]]*f[b[1]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/3486784401 - 
  (111442240*f[a[1]*a[5]]*f[b[1]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   1162261467 + (624245*f[b[1]*c[1]]^2*f[a[1]^2*b[2]*c[2]])/4782969 - 
  (122464*f[a[1]]*f[a[1]*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]])/177147 - 
  (46168928*f[a[1]^3]*f[a[1]*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]])/43046721 + 
  (2721762400*f[a[1]^5]*f[a[1]*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   1162261467 + (745315904*f[a[1]*a[2]^2]*f[a[1]*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/3486784401 + 
  (122464*f[a[3]]*f[a[1]*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]])/1594323 - 
  (13348576*f[a[1]^2*a[3]]*f[a[1]*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   387420489 - (7960160*f[a[5]]*f[a[1]*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   129140163 - (1997584*f[a[1]*b[1]*c[1]]^2*f[a[1]^2*b[2]*c[2]])/
   4782969 - (1370066*f[1]*f[a[1]^2*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   1594323 - (63688934*f[a[1]^2]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/43046721 - 
  (1999477382*f[a[1]^4]*f[a[1]^2*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   1162261467 + (74726576050*f[a[1]^6]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/10460353203 + 
  (4319320588*f[a[2]^2]*f[a[1]^2*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   3486784401 + (8701204972*f[a[1]^2*a[2]^2]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/31381059609 + 
  (26697152*f[a[1]*a[3]]*f[a[1]^2*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   387420489 - (3159326272*f[a[1]^3*a[3]]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/10460353203 + 
  (1011851146*f[a[3]^2]*f[a[1]^2*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   10460353203 - (5251256320*f[a[2]*a[4]]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/10460353203 - 
  (1735314880*f[a[1]*a[5]]*f[a[1]^2*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   31381059609 - (44695942*f[b[1]*c[1]]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/43046721 - 
  (1038868529*f[a[1]^2*b[1]*c[1]]^2*f[a[1]^2*b[2]*c[2]])/1162261467 - 
  (46168928*f[a[1]]*f[a[1]^3*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]])/43046721 - 
  (4072785248*f[a[1]^3]*f[a[1]^3*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   1162261467 - (33359805920*f[a[1]^5]*f[a[1]^3*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/10460353203 + 
  (28502026432*f[a[1]*a[2]^2]*f[a[1]^3*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   31381059609 + (46168928*f[a[3]]*f[a[1]^3*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/387420489 + 
  (1579663136*f[a[1]^2*a[3]]*f[a[1]^3*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   10460353203 - (3000980320*f[a[5]]*f[a[1]^3*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/31381059609 - 
  (1506178336*f[a[1]*b[1]*c[1]]*f[a[1]^3*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/1162261467 - 
  (66433651088*f[a[1]^3*b[1]*c[1]]^2*f[a[1]^2*b[2]*c[2]])/31381059609 + 
  (40145230*f[1]*f[a[1]^4*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]])/43046721 - 
  (1999477382*f[a[1]^2]*f[a[1]^4*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   1162261467 - (105408767842*f[a[1]^4]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/10460353203 - 
  (547551354490*f[a[1]^6]*f[a[1]^4*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   94143178827 - (105906698812*f[a[2]^2]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/31381059609 + 
  (68198869804*f[a[1]^2*a[2]^2]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/847288609443 + 
  (3083398592*f[a[1]*a[3]]*f[a[1]^4*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   10460353203 + (51422878528*f[a[1]^3*a[3]]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/94143178827 - 
  (41245944086*f[a[3]^2]*f[a[1]^4*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   282429536481 + (1226238889984*f[a[2]*a[4]]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/847288609443 - 
  (200420908480*f[a[1]*a[5]]*f[a[1]^4*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   847288609443 + (1309666010*f[b[1]*c[1]]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/1162261467 - 
  (65229357634*f[a[1]^2*b[1]*c[1]]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/31381059609 - 
  (1719385844827*f[a[1]^4*b[1]*c[1]]^2*f[a[1]^2*b[2]*c[2]])/
   282429536481 + (33310208*f[a[2]]*f[a[2]*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/129140163 + 
  (836674048*f[a[1]^2*a[2]]*f[a[2]*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   3486784401 - (3066498560*f[a[1]^4*a[2]]*f[a[2]*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/10460353203 + 
  (5639222272*f[a[2]^3]*f[a[2]*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   3486784401 - (5329633280*f[a[1]*a[2]*a[3]]*f[a[2]*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/10460353203 - 
  (713230336*f[a[4]]*f[a[2]*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   3486784401 + (2625628160*f[a[1]^2*a[4]]*f[a[2]*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/10460353203 + 
  (1459770880*f[a[6]]*f[a[2]*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   10460353203 + (543342848*f[a[2]*b[1]*c[1]]^2*f[a[1]^2*b[2]*c[2]])/
   3486784401 + (1379434496*f[a[1]*a[2]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/3486784401 + 
  (8402010112*f[a[1]^3*a[2]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/10460353203 - 
  (6646366208*f[a[2]*a[3]]*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   10460353203 + (3511287808*f[a[1]*a[4]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/31381059609 + 
  (22500786176*f[a[1]*a[2]*b[1]*c[1]]^2*f[a[1]^2*b[2]*c[2]])/
   94143178827 + (836674048*f[a[2]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/3486784401 + 
  (42078630400*f[a[1]^2*a[2]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/31381059609 + 
  (1798631707136*f[a[1]^4*a[2]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/847288609443 - 
  (2984543691776*f[a[2]^3]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/847288609443 - 
  (34548563968*f[a[1]*a[2]*a[3]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/282429536481 + 
  (2625628160*f[a[4]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   10460353203 + (16796182528*f[a[1]^2*a[4]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/847288609443 - 
  (46424632832*f[a[6]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   282429536481 + (27294987776*f[a[2]*b[1]*c[1]]*
     f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]])/94143178827 + 
  (686369862400*f[a[1]^2*a[2]*b[1]*c[1]]^2*f[a[1]^2*b[2]*c[2]])/
   847288609443 - (59716508*f[1]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/129140163 + 
  (4319320588*f[a[1]^2]*f[a[2]^2*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   3486784401 - (105906698812*f[a[1]^4]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/31381059609 + 
  (6360580007900*f[a[1]^6]*f[a[2]^2*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   847288609443 - (52340899288*f[a[2]^2]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/31381059609 + 
  (2126033547176*f[a[1]^2*a[2]^2]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/2541865828329 + 
  (31187661952*f[a[1]*a[3]]*f[a[2]^2*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   31381059609 - (476719531648*f[a[1]^3*a[3]]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/282429536481 + 
  (83447107372*f[a[3]^2]*f[a[2]^2*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   847288609443 + (1404922683392*f[a[2]*a[4]]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/2541865828329 - 
  (913618179200*f[a[1]*a[5]]*f[a[2]^2*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   2541865828329 - (1948143796*f[b[1]*c[1]]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/3486784401 + 
  (140910074756*f[a[1]^2*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/94143178827 - 
  (3455015793044*f[a[1]^4*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/847288609443 - 
  (853763905828*f[a[2]^2*b[1]*c[1]]^2*f[a[1]^2*b[2]*c[2]])/847288609443 + 
  (122464*f[a[1]]*f[a[3]*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]])/1594323 + 
  (46168928*f[a[1]^3]*f[a[3]*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   387420489 - (2721762400*f[a[1]^5]*f[a[3]*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/10460353203 + 
  (31357886912*f[a[1]*a[2]^2]*f[a[3]*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   31381059609 + (381965216*f[a[3]]*f[a[3]*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/1162261467 - 
  (13989430112*f[a[1]^2*a[3]]*f[a[3]*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   10460353203 - (176960480*f[a[5]]*f[a[3]*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/31381059609 + 
  (3995168*f[a[1]*b[1]*c[1]]*f[a[3]*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   43046721 + (1506178336*f[a[1]^3*b[1]*c[1]]*f[a[3]*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/10460353203 + 
  (6230464496*f[a[3]*b[1]*c[1]]^2*f[a[1]^2*b[2]*c[2]])/31381059609 + 
  (1714496*f[1]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]])/14348907 + 
  (26697152*f[a[1]^2]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   387420489 + (3083398592*f[a[1]^4]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/10460353203 - 
  (88167956800*f[a[1]^6]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   94143178827 + (31187661952*f[a[2]^2]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/31381059609 + 
  (100586541184*f[a[1]^2*a[2]^2]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/282429536481 - 
  (3742499840*f[a[1]*a[3]]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   3486784401 - (475532610560*f[a[1]^3*a[3]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/282429536481 + 
  (21147328448*f[a[3]^2]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   94143178827 + (170297458688*f[a[2]*a[4]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/282429536481 + 
  (10012656640*f[a[1]*a[5]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/282429536481 + 
  (55932352*f[b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   387420489 + (870946624*f[a[1]^2*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/10460353203 + 
  (100590339904*f[a[1]^4*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/282429536481 + 
  (1017441444224*f[a[2]^2*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/847288609443 - 
  (61046167040*f[a[1]*a[3]*b[1]*c[1]]^2*f[a[1]^2*b[2]*c[2]])/
   94143178827 - (713230336*f[a[2]]*f[a[4]*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/3486784401 + 
  (2625628160*f[a[1]^2*a[2]]*f[a[4]*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   10460353203 - (218475776000*f[a[1]^4*a[2]]*f[a[4]*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/847288609443 - 
  (119838371840*f[a[2]^3]*f[a[4]*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   847288609443 - (68971724800*f[a[1]*a[2]*a[3]]*f[a[4]*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/94143178827 - 
  (10941423616*f[a[4]]*f[a[4]*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   31381059609 + (462330011648*f[a[1]^2*a[4]]*f[a[4]*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/282429536481 - 
  (15322695680*f[a[6]]*f[a[4]*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   282429536481 - (23267858432*f[a[2]*b[1]*c[1]]*f[a[4]*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/94143178827 + 
  (85656401920*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[4]*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/282429536481 - 
  (178472144896*f[a[4]*b[1]*c[1]]^2*f[a[1]^2*b[2]*c[2]])/847288609443 + 
  (36700160*f[a[1]*a[2]]*f[b[2]*c[1]]*f[a[1]^2*b[2]*c[2]])/43046721 - 
  (183500800*f[a[1]^3*a[2]]*f[b[2]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   387420489 - (36700160*f[a[2]*a[3]]*f[b[2]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/387420489 - 
  (146800640*f[a[1]*a[4]]*f[b[2]*c[1]]*f[a[1]^2*b[2]*c[2]])/387420489 + 
  (1192755200*f[a[1]*a[2]*b[1]*c[1]]*f[b[2]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   3486784401 + (32000*f[b[2]*c[1]]^2*f[a[1]^2*b[2]*c[2]])/177147 + 
  (42434560*f[a[2]]*f[a[1]*b[2]*c[1]]*f[a[1]^2*b[2]*c[2]])/43046721 + 
  (125009920*f[a[1]^2*a[2]]*f[a[1]*b[2]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   387420489 - (4811161600*f[a[1]^4*a[2]]*f[a[1]*b[2]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/10460353203 - 
  (6085345280*f[a[2]^3]*f[a[1]*b[2]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   10460353203 + (256901120*f[a[1]*a[2]*a[3]]*f[a[1]*b[2]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/3486784401 - 
  (169738240*f[a[4]]*f[a[1]*b[2]*c[1]]*f[a[1]^2*b[2]*c[2]])/387420489 - 
  (500039680*f[a[1]^2*a[4]]*f[a[1]*b[2]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   3486784401 + (1060864000*f[a[6]]*f[a[1]*b[2]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/3486784401 + 
  (1379123200*f[a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   3486784401 + (4062822400*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/31381059609 - 
  (5516492800*f[a[4]*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   31381059609 - (102400*f[a[1]*b[2]*c[1]]^2*f[a[1]^2*b[2]*c[2]])/
   177147 - (2291200*f[b[2]*c[1]]*f[a[1]^2*b[2]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/1594323 - 
  (53254400*f[a[1]^2*b[2]*c[1]]^2*f[a[1]^2*b[2]*c[2]])/43046721 - 
  (799375360*f[a[2]]*f[a[1]^3*b[2]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   387420489 - (14793605120*f[a[1]^2*a[2]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/10460353203 - 
  (97534115840*f[a[1]^4*a[2]]*f[a[1]^3*b[2]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   282429536481 + (902794117120*f[a[2]^3]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/282429536481 - 
  (6789529600*f[a[1]*a[2]*a[3]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/94143178827 + 
  (3197501440*f[a[4]]*f[a[1]^3*b[2]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   3486784401 + (59174420480*f[a[1]^2*a[4]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/94143178827 - 
  (19984384000*f[a[6]]*f[a[1]^3*b[2]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   31381059609 - (25979699200*f[a[2]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/31381059609 - 
  (480792166400*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/847288609443 + 
  (103918796800*f[a[4]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/282429536481 - 
  (77209600*f[a[1]*b[2]*c[1]]*f[a[1]^3*b[2]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   43046721 - (3405516800*f[a[1]^3*b[2]*c[1]]^2*f[a[1]^2*b[2]*c[2]])/
   1162261467 - (42434560*f[a[1]]*f[a[2]*b[2]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/43046721 + 
  (799375360*f[a[1]^3]*f[a[2]*b[2]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   387420489 - (11554816000*f[a[1]^5]*f[a[2]*b[2]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/3486784401 - 
  (50286100480*f[a[1]*a[2]^2]*f[a[2]*b[2]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   31381059609 - (49315840*f[a[3]]*f[a[2]*b[2]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/387420489 + 
  (1721466880*f[a[1]^2*a[3]]*f[a[2]*b[2]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   3486784401 + (453017600*f[a[5]]*f[a[2]*b[2]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/31381059609 - 
  (1379123200*f[a[1]*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   3486784401 + (25979699200*f[a[1]^3*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/31381059609 - 
  (1602764800*f[a[3]*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   31381059609 + (27852800*f[a[2]*b[2]*c[1]]^2*f[a[1]^2*b[2]*c[2]])/
   129140163 - (36700160*f[1]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/43046721 + 
  (38498467840*f[a[1]^4]*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   10460353203 - (2864447488000*f[a[1]^6]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/282429536481 - 
  (49251614720*f[a[2]^2]*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   31381059609 - (323548610560*f[a[1]^2*a[2]^2]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/282429536481 + 
  (256901120*f[a[1]*a[3]]*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   387420489 + (72189214720*f[a[1]^3*a[3]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/94143178827 - 
  (15340666880*f[a[3]^2]*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   282429536481 + (284206039040*f[a[2]*a[4]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/847288609443 - 
  (7890534400*f[a[1]*a[5]]*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   31381059609 - (1192755200*f[b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/3486784401 + 
  (1251200204800*f[a[1]^4*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/847288609443 - 
  (1600677478400*f[a[2]^2*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/2541865828329 + 
  (8349286400*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/31381059609 + 
  (1153433600*f[a[1]*a[2]*b[2]*c[1]]^2*f[a[1]^2*b[2]*c[2]])/3486784401 + 
  (49315840*f[a[2]]*f[a[3]*b[2]*c[1]]*f[a[1]^2*b[2]*c[2]])/387420489 - 
  (1136558080*f[a[1]^2*a[2]]*f[a[3]*b[2]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   1162261467 + (101057331200*f[a[1]^4*a[2]]*f[a[3]*b[2]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/94143178827 - 
  (45693992960*f[a[2]^3]*f[a[3]*b[2]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   31381059609 + (410491289600*f[a[1]*a[2]*a[3]]*f[a[3]*b[2]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/282429536481 + 
  (1270743040*f[a[4]]*f[a[3]*b[2]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   3486784401 - (38915932160*f[a[1]^2*a[4]]*f[a[3]*b[2]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/31381059609 - 
  (44688179200*f[a[6]]*f[a[3]*b[2]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   282429536481 + (1602764800*f[a[2]*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/31381059609 - 
  (36938137600*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/94143178827 + 
  (41299148800*f[a[4]*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/282429536481 + 
  (204800*f[a[1]*b[2]*c[1]]*f[a[3]*b[2]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   1594323 + (77209600*f[a[1]^3*b[2]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/387420489 + 
  (319385600*f[a[3]*b[2]*c[1]]^2*f[a[1]^2*b[2]*c[2]])/1162261467 + 
  (106400*f[1]*f[b[3]*c[1]]*f[a[1]^2*b[2]*c[2]])/531441 - 
  (3809120*f[a[1]^2]*f[b[3]*c[1]]*f[a[1]^2*b[2]*c[2]])/4782969 + 
  (111613600*f[a[1]^4]*f[b[3]*c[1]]*f[a[1]^2*b[2]*c[2]])/129140163 - 
  (4152260000*f[a[1]^6]*f[b[3]*c[1]]*f[a[1]^2*b[2]*c[2]])/3486784401 - 
  (166026560*f[a[2]^2]*f[b[3]*c[1]]*f[a[1]^2*b[2]*c[2]])/387420489 - 
  (19705280*f[a[1]^2*a[2]^2]*f[b[3]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   10460353203 + (4766720*f[a[1]*a[3]]*f[b[3]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/43046721 - 
  (420152320*f[a[1]^3*a[3]]*f[b[3]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   1162261467 - (127701280*f[a[3]^2]*f[b[3]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   3486784401 + (1874001920*f[a[2]*a[4]]*f[b[3]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/10460353203 - 
  (309836800*f[a[1]*a[5]]*f[b[3]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   3486784401 + (4967200*f[b[1]*c[1]]*f[b[3]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/43046721 - 
  (177825760*f[a[1]^2*b[1]*c[1]]*f[b[3]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   387420489 + (5210592800*f[a[1]^4*b[1]*c[1]]*f[b[3]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/10460353203 - 
  (7750818880*f[a[2]^2*b[1]*c[1]]*f[b[3]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   31381059609 + (222530560*f[a[1]*a[3]*b[1]*c[1]]*f[b[3]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/3486784401 + 
  (5203558400*f[a[1]*a[2]*b[2]*c[1]]*f[b[3]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   10460353203 - (4408000*f[b[3]*c[1]]^2*f[a[1]^2*b[2]*c[2]])/129140163 - 
  (340480*f[a[1]]*f[a[1]*b[3]*c[1]]*f[a[1]^2*b[2]*c[2]])/531441 - 
  (128360960*f[a[1]^3]*f[a[1]*b[3]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   129140163 + (7567168000*f[a[1]^5]*f[a[1]*b[3]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/3486784401 + 
  (2072161280*f[a[1]*a[2]^2]*f[a[1]*b[3]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   10460353203 + (340480*f[a[3]]*f[a[1]*b[3]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/4782969 - 
  (37112320*f[a[1]^2*a[3]]*f[a[1]*b[3]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   1162261467 - (22131200*f[a[5]]*f[a[1]*b[3]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/387420489 - 
  (15895040*f[a[1]*b[1]*c[1]]*f[a[1]*b[3]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   43046721 - (5992430080*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[3]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/10460353203 + 
  (15895040*f[a[3]*b[1]*c[1]]*f[a[1]*b[3]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   387420489 + (6016614400*f[a[2]*b[2]*c[1]]*f[a[1]*b[3]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/10460353203 + 
  (14105600*f[a[1]*b[3]*c[1]]^2*f[a[1]^2*b[2]*c[2]])/129140163 - 
  (3809120*f[1]*f[a[1]^2*b[3]*c[1]]*f[a[1]^2*b[2]*c[2]])/4782969 - 
  (177070880*f[a[1]^2]*f[a[1]^2*b[3]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   129140163 - (5559038240*f[a[1]^4]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/3486784401 + 
  (207758236000*f[a[1]^6]*f[a[1]^2*b[3]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   31381059609 + (12008772160*f[a[2]^2]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/10460353203 + 
  (24191487040*f[a[1]^2*a[2]^2]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/94143178827 + 
  (74224640*f[a[1]*a[3]]*f[a[1]^2*b[3]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   1162261467 - (8783703040*f[a[1]^3*a[3]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/31381059609 + 
  (2813194720*f[a[3]^2]*f[a[1]^2*b[3]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   31381059609 - (14599782400*f[a[2]*a[4]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/31381059609 - 
  (4824601600*f[a[1]*a[5]]*f[a[1]^2*b[3]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   94143178827 - (177825760*f[b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/387420489 - 
  (8266414240*f[a[1]^2*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/10460353203 - 
  (259519311520*f[a[1]^4*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/282429536481 + 
  (560620047680*f[a[2]^2*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/847288609443 + 
  (3465118720*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/94143178827 + 
  (315612800*f[b[3]*c[1]]*f[a[1]^2*b[3]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   1162261467 + (7335793600*f[a[1]^2*b[3]*c[1]]^2*f[a[1]^2*b[2]*c[2]])/
   31381059609 + (92610560*f[a[2]]*f[a[2]*b[3]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/387420489 + 
  (2326159360*f[a[1]^2*a[2]]*f[a[2]*b[3]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   10460353203 - (8525619200*f[a[1]^4*a[2]]*f[a[2]*b[3]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/31381059609 + 
  (15678423040*f[a[2]^3]*f[a[2]*b[3]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   10460353203 - (14817689600*f[a[1]*a[2]*a[3]]*f[a[2]*b[3]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/31381059609 - 
  (1982955520*f[a[4]]*f[a[2]*b[3]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   10460353203 + (7299891200*f[a[1]^2*a[4]]*f[a[2]*b[3]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/31381059609 + 
  (4058521600*f[a[6]]*f[a[2]*b[3]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   31381059609 + (4323450880*f[a[2]*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/31381059609 + 
  (108594913280*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/847288609443 - 
  (92572712960*f[a[4]*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/847288609443 - 
  (6016614400*f[a[1]*b[2]*c[1]]*f[a[2]*b[3]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   10460353203 + (113340006400*f[a[1]^3*b[2]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/94143178827 - 
  (6992281600*f[a[3]*b[2]*c[1]]*f[a[2]*b[3]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   94143178827 - (3836723200*f[a[2]*b[3]*c[1]]^2*f[a[1]^2*b[2]*c[2]])/
   94143178827 + (262144000*f[a[1]*a[2]]*f[b[4]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/3486784401 - 
  (1310720000*f[a[1]^3*a[2]]*f[b[4]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   31381059609 - (262144000*f[a[2]*a[3]]*f[b[4]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/31381059609 - 
  (1048576000*f[a[1]*a[4]]*f[b[4]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   31381059609 + (19007537152*f[a[1]*a[2]*b[1]*c[1]]*f[b[4]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/94143178827 - 
  (341171200*f[b[2]*c[1]]*f[b[4]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   3486784401 + (12213928960*f[a[1]^2*b[2]*c[1]]*f[b[4]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/31381059609 - 
  (118277120*f[b[4]*c[1]]^2*f[a[1]^2*b[2]*c[2]])/31381059609 + 
  (303104000*f[a[2]]*f[a[1]*b[4]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   3486784401 + (892928000*f[a[1]^2*a[2]]*f[a[1]*b[4]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/31381059609 - 
  (34365440000*f[a[1]^4*a[2]]*f[a[1]*b[4]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   847288609443 - (43466752000*f[a[2]^3]*f[a[1]*b[4]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/847288609443 + 
  (1835008000*f[a[1]*a[2]*a[3]]*f[a[1]*b[4]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   282429536481 - (1212416000*f[a[4]]*f[a[1]*b[4]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/31381059609 - 
  (3571712000*f[a[1]^2*a[4]]*f[a[1]*b[4]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   282429536481 + (7577600000*f[a[6]]*f[a[1]*b[4]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/282429536481 + 
  (21977464832*f[a[2]*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/94143178827 + 
  (64744423424*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/847288609443 - 
  (87909859328*f[a[4]*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/847288609443 + 
  (1091747840*f[a[1]*b[2]*c[1]]*f[a[1]*b[4]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   3486784401 + (411588935680*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/847288609443 - 
  (1091747840*f[a[3]*b[2]*c[1]]*f[a[1]*b[4]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   31381059609 + (190015897600*f[a[2]*b[3]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/847288609443 + 
  (378486784*f[a[1]*b[4]*c[1]]^2*f[a[1]^2*b[2]*c[2]])/31381059609 - 
  (3048800*f[1]*f[b[5]*c[1]]*f[a[1]^2*b[2]*c[2]])/43046721 + 
  (109147040*f[a[1]^2]*f[b[5]*c[1]]*f[a[1]^2*b[2]*c[2]])/387420489 - 
  (3198191200*f[a[1]^4]*f[b[5]*c[1]]*f[a[1]^2*b[2]*c[2]])/10460353203 + 
  (118979420000*f[a[1]^6]*f[b[5]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   282429536481 + (4757347520*f[a[2]^2]*f[b[5]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/31381059609 + 
  (564637760*f[a[1]^2*a[2]^2]*f[b[5]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   847288609443 - (136586240*f[a[1]*a[3]]*f[b[5]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/3486784401 + 
  (12039101440*f[a[1]^3*a[3]]*f[b[5]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   94143178827 + (3659169760*f[a[3]^2]*f[b[5]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/282429536481 - 
  (53697904640*f[a[2]*a[4]]*f[b[5]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   847288609443 + (8878105600*f[a[1]*a[5]]*f[b[5]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/282429536481 - 
  (95852000*f[b[1]*c[1]]*f[b[5]*c[1]]*f[a[1]^2*b[2]*c[2]])/3486784401 + 
  (3431501600*f[a[1]^2*b[1]*c[1]]*f[b[5]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   31381059609 - (100548748000*f[a[1]^4*b[1]*c[1]]*f[b[5]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/847288609443 + 
  (149567460800*f[a[2]^2*b[1]*c[1]]*f[b[5]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   2541865828329 - (4294169600*f[a[1]*a[3]*b[1]*c[1]]*f[b[5]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/282429536481 - 
  (73937715200*f[a[1]*a[2]*b[2]*c[1]]*f[b[5]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/282429536481 + 
  (445712000*f[b[3]*c[1]]*f[b[5]*c[1]]*f[a[1]^2*b[2]*c[2]])/
   10460353203 - (15956489600*f[a[1]^2*b[3]*c[1]]*f[b[5]*c[1]]*
     f[a[1]^2*b[2]*c[2]])/94143178827 - 
  (3141608000*f[b[5]*c[1]]^2*f[a[1]^2*b[2]*c[2]])/282429536481 - 
  (18350080*f[a[1]*a[2]]*f[b[1]*c[2]]*f[a[1]^2*b[2]*c[2]])/43046721 + 
  (91750400*f[a[1]^3*a[2]]*f[b[1]*c[2]]*f[a[1]^2*b[2]*c[2]])/
   387420489 + (18350080*f[a[2]*a[3]]*f[b[1]*c[2]]*
     f[a[1]^2*b[2]*c[2]])/387420489 + 
  (73400320*f[a[1]*a[4]]*f[b[1]*c[2]]*f[a[1]^2*b[2]*c[2]])/387420489 - 
  (596377600*f[a[1]*a[2]*b[1]*c[1]]*f[b[1]*c[2]]*f[a[1]^2*b[2]*c[2]])/
   3486784401 + (6083840*f[b[2]*c[1]]*f[b[1]*c[2]]*
     f[a[1]^2*b[2]*c[2]])/43046721 - 
  (217801472*f[a[1]^2*b[2]*c[1]]*f[b[1]*c[2]]*f[a[1]^2*b[2]*c[2]])/
   387420489 + (43456000*f[b[4]*c[1]]*f[b[1]*c[2]]*
     f[a[1]^2*b[2]*c[2]])/3486784401 + 
  (8000*f[b[1]*c[2]]^2*f[a[1]^2*b[2]*c[2]])/177147 - 
  (21217280*f[a[2]]*f[a[1]*b[1]*c[2]]*f[a[1]^2*b[2]*c[2]])/43046721 - 
  (62504960*f[a[1]^2*a[2]]*f[a[1]*b[1]*c[2]]*f[a[1]^2*b[2]*c[2]])/
   387420489 + (2405580800*f[a[1]^4*a[2]]*f[a[1]*b[1]*c[2]]*
     f[a[1]^2*b[2]*c[2]])/10460353203 + 
  (3042672640*f[a[2]^3]*f[a[1]*b[1]*c[2]]*f[a[1]^2*b[2]*c[2]])/
   10460353203 - (128450560*f[a[1]*a[2]*a[3]]*f[a[1]*b[1]*c[2]]*
     f[a[1]^2*b[2]*c[2]])/3486784401 + 
  (84869120*f[a[4]]*f[a[1]*b[1]*c[2]]*f[a[1]^2*b[2]*c[2]])/387420489 + 
  (250019840*f[a[1]^2*a[4]]*f[a[1]*b[1]*c[2]]*f[a[1]^2*b[2]*c[2]])/
   3486784401 - (530432000*f[a[6]]*f[a[1]*b[1]*c[2]]*
     f[a[1]^2*b[2]*c[2]])/3486784401 - 
  (689561600*f[a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[2]]*f[a[1]^2*b[2]*c[2]])/
   3486784401 - (2031411200*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[a[1]^2*b[2]*c[2]])/31381059609 + 
  (2758246400*f[a[4]*b[1]*c[1]]*f[a[1]*b[1]*c[2]]*f[a[1]^2*b[2]*c[2]])/
   31381059609 - (19468288*f[a[1]*b[2]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[a[1]^2*b[2]*c[2]])/43046721 - 
  (7339544576*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[a[1]^2*b[2]*c[2]])/10460353203 + 
  (19468288*f[a[3]*b[2]*c[1]]*f[a[1]*b[1]*c[2]]*f[a[1]^2*b[2]*c[2]])/
   387420489 + (193077248*f[a[2]*b[3]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[a[1]^2*b[2]*c[2]])/1162261467 - 
  (139059200*f[a[1]*b[4]*c[1]]*f[a[1]*b[1]*c[2]]*f[a[1]^2*b[2]*c[2]])/
   3486784401 - (25600*f[a[1]*b[1]*c[2]]^2*f[a[1]^2*b[2]*c[2]])/177147 - 
  (217801472*f[b[2]*c[1]]*f[a[1]^2*b[1]*c[2]]*f[a[1]^2*b[2]*c[2]])/
   387420489 - (10124726528*f[a[1]^2*b[2]*c[1]]*f[a[1]^2*b[1]*c[2]]*
     f[a[1]^2*b[2]*c[2]])/10460353203 - 
  (1555724800*f[b[4]*c[1]]*f[a[1]^2*b[1]*c[2]]*f[a[1]^2*b[2]*c[2]])/
   31381059609 - (572800*f[b[1]*c[2]]*f[a[1]^2*b[1]*c[2]]*
     f[a[1]^2*b[2]*c[2]])/1594323 - 
  (13313600*f[a[1]^2*b[1]*c[2]]^2*f[a[1]^2*b[2]*c[2]])/43046721 + 
  (399687680*f[a[2]]*f[a[1]^3*b[1]*c[2]]*f[a[1]^2*b[2]*c[2]])/
   387420489 + (7396802560*f[a[1]^2*a[2]]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]^2*b[2]*c[2]])/10460353203 + 
  (48767057920*f[a[1]^4*a[2]]*f[a[1]^3*b[1]*c[2]]*f[a[1]^2*b[2]*c[2]])/
   282429536481 - (451397058560*f[a[2]^3]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]^2*b[2]*c[2]])/282429536481 + 
  (3394764800*f[a[1]*a[2]*a[3]]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]^2*b[2]*c[2]])/94143178827 - 
  (1598750720*f[a[4]]*f[a[1]^3*b[1]*c[2]]*f[a[1]^2*b[2]*c[2]])/
   3486784401 - (29587210240*f[a[1]^2*a[4]]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]^2*b[2]*c[2]])/94143178827 + 
  (9992192000*f[a[6]]*f[a[1]^3*b[1]*c[2]]*f[a[1]^2*b[2]*c[2]])/
   31381059609 + (12989849600*f[a[2]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]^2*b[2]*c[2]])/31381059609 + 
  (240396083200*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]^2*b[2]*c[2]])/847288609443 - 
  (51959398400*f[a[4]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]^2*b[2]*c[2]])/282429536481 - 
  (7339544576*f[a[1]*b[2]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]^2*b[2]*c[2]])/10460353203 - 
  (647456854016*f[a[1]^3*b[2]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]^2*b[2]*c[2]])/282429536481 + 
  (7339544576*f[a[3]*b[2]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]^2*b[2]*c[2]])/94143178827 - 
  (3637157888*f[a[2]*b[3]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]^2*b[2]*c[2]])/10460353203 - 
  (52425318400*f[a[1]*b[4]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]^2*b[2]*c[2]])/847288609443 - 
  (19302400*f[a[1]*b[1]*c[2]]*f[a[1]^3*b[1]*c[2]]*f[a[1]^2*b[2]*c[2]])/
   43046721 - (851379200*f[a[1]^3*b[1]*c[2]]^2*f[a[1]^2*b[2]*c[2]])/
   1162261467 + (21217280*f[a[1]]*f[a[2]*b[1]*c[2]]*
     f[a[1]^2*b[2]*c[2]])/43046721 - 
  (399687680*f[a[1]^3]*f[a[2]*b[1]*c[2]]*f[a[1]^2*b[2]*c[2]])/
   387420489 + (5777408000*f[a[1]^5]*f[a[2]*b[1]*c[2]]*
     f[a[1]^2*b[2]*c[2]])/3486784401 + 
  (25143050240*f[a[1]*a[2]^2]*f[a[2]*b[1]*c[2]]*f[a[1]^2*b[2]*c[2]])/
   31381059609 + (24657920*f[a[3]]*f[a[2]*b[1]*c[2]]*
     f[a[1]^2*b[2]*c[2]])/387420489 - 
  (860733440*f[a[1]^2*a[3]]*f[a[2]*b[1]*c[2]]*f[a[1]^2*b[2]*c[2]])/
   3486784401 - (226508800*f[a[5]]*f[a[2]*b[1]*c[2]]*
     f[a[1]^2*b[2]*c[2]])/31381059609 + 
  (689561600*f[a[1]*b[1]*c[1]]*f[a[2]*b[1]*c[2]]*f[a[1]^2*b[2]*c[2]])/
   3486784401 - (12989849600*f[a[1]^3*b[1]*c[1]]*f[a[2]*b[1]*c[2]]*
     f[a[1]^2*b[2]*c[2]])/31381059609 + 
  (801382400*f[a[3]*b[1]*c[1]]*f[a[2]*b[1]*c[2]]*f[a[1]^2*b[2]*c[2]])/
   31381059609 + (5295374336*f[a[2]*b[2]*c[1]]*f[a[2]*b[1]*c[2]]*
     f[a[1]^2*b[2]*c[2]])/31381059609 - 
  (193077248*f[a[1]*b[3]*c[1]]*f[a[2]*b[1]*c[2]]*f[a[1]^2*b[2]*c[2]])/
   1162261467 + (6963200*f[a[2]*b[1]*c[2]]^2*f[a[1]^2*b[2]*c[2]])/
   129140163 + (18350080*f[1]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[1]^2*b[2]*c[2]])/43046721 - 
  (19249233920*f[a[1]^4]*f[a[1]*a[2]*b[1]*c[2]]*f[a[1]^2*b[2]*c[2]])/
   10460353203 + (1432223744000*f[a[1]^6]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[1]^2*b[2]*c[2]])/282429536481 + 
  (24625807360*f[a[2]^2]*f[a[1]*a[2]*b[1]*c[2]]*f[a[1]^2*b[2]*c[2]])/
   31381059609 + (161774305280*f[a[1]^2*a[2]^2]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[1]^2*b[2]*c[2]])/282429536481 - 
  (128450560*f[a[1]*a[3]]*f[a[1]*a[2]*b[1]*c[2]]*f[a[1]^2*b[2]*c[2]])/
   387420489 - (36094607360*f[a[1]^3*a[3]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[1]^2*b[2]*c[2]])/94143178827 + 
  (7670333440*f[a[3]^2]*f[a[1]*a[2]*b[1]*c[2]]*f[a[1]^2*b[2]*c[2]])/
   282429536481 - (142103019520*f[a[2]*a[4]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[1]^2*b[2]*c[2]])/847288609443 + 
  (3945267200*f[a[1]*a[5]]*f[a[1]*a[2]*b[1]*c[2]]*f[a[1]^2*b[2]*c[2]])/
   31381059609 + (596377600*f[b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[1]^2*b[2]*c[2]])/3486784401 - 
  (625600102400*f[a[1]^4*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[1]^2*b[2]*c[2]])/847288609443 + 
  (800338739200*f[a[2]^2*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[1]^2*b[2]*c[2]])/2541865828329 - 
  (4174643200*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[1]^2*b[2]*c[2]])/31381059609 + 
  (219290796032*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[1]^2*b[2]*c[2]])/847288609443 - 
  (166985728*f[b[3]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*f[a[1]^2*b[2]*c[2]])/
   1162261467 + (105412034560*f[b[5]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[1]^2*b[2]*c[2]])/847288609443 + 
  (288358400*f[a[1]*a[2]*b[1]*c[2]]^2*f[a[1]^2*b[2]*c[2]])/3486784401 - 
  (24657920*f[a[2]]*f[a[3]*b[1]*c[2]]*f[a[1]^2*b[2]*c[2]])/387420489 + 
  (568279040*f[a[1]^2*a[2]]*f[a[3]*b[1]*c[2]]*f[a[1]^2*b[2]*c[2]])/
   1162261467 - (50528665600*f[a[1]^4*a[2]]*f[a[3]*b[1]*c[2]]*
     f[a[1]^2*b[2]*c[2]])/94143178827 + 
  (22846996480*f[a[2]^3]*f[a[3]*b[1]*c[2]]*f[a[1]^2*b[2]*c[2]])/
   31381059609 - (205245644800*f[a[1]*a[2]*a[3]]*f[a[3]*b[1]*c[2]]*
     f[a[1]^2*b[2]*c[2]])/282429536481 - 
  (635371520*f[a[4]]*f[a[3]*b[1]*c[2]]*f[a[1]^2*b[2]*c[2]])/
   3486784401 + (19457966080*f[a[1]^2*a[4]]*f[a[3]*b[1]*c[2]]*
     f[a[1]^2*b[2]*c[2]])/31381059609 + 
  (22344089600*f[a[6]]*f[a[3]*b[1]*c[2]]*f[a[1]^2*b[2]*c[2]])/
   282429536481 - (801382400*f[a[2]*b[1]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[a[1]^2*b[2]*c[2]])/31381059609 + 
  (18469068800*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[a[1]^2*b[2]*c[2]])/94143178827 - 
  (20649574400*f[a[4]*b[1]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[a[1]^2*b[2]*c[2]])/282429536481 + 
  (19468288*f[a[1]*b[2]*c[1]]*f[a[3]*b[1]*c[2]]*f[a[1]^2*b[2]*c[2]])/
   387420489 + (7339544576*f[a[1]^3*b[2]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[a[1]^2*b[2]*c[2]])/94143178827 + 
  (60721590272*f[a[3]*b[2]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[a[1]^2*b[2]*c[2]])/282429536481 + 
  (224387072*f[a[2]*b[3]*c[1]]*f[a[3]*b[1]*c[2]]*f[a[1]^2*b[2]*c[2]])/
   10460353203 + (139059200*f[a[1]*b[4]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[a[1]^2*b[2]*c[2]])/31381059609 + 
  (51200*f[a[1]*b[1]*c[2]]*f[a[3]*b[1]*c[2]]*f[a[1]^2*b[2]*c[2]])/
   1594323 + (19302400*f[a[1]^3*b[1]*c[2]]*f[a[3]*b[1]*c[2]]*
     f[a[1]^2*b[2]*c[2]])/387420489 + 
  (79846400*f[a[3]*b[1]*c[2]]^2*f[a[1]^2*b[2]*c[2]])/1162261467 + 
  (40610*f[1]*f[b[2]*c[2]]*f[a[1]^2*b[2]*c[2]])/177147 - 
  (1453838*f[a[1]^2]*f[b[2]*c[2]]*f[a[1]^2*b[2]*c[2]])/1594323 + 
  (42599890*f[a[1]^4]*f[b[2]*c[2]]*f[a[1]^2*b[2]*c[2]])/43046721 - 
  (1584805250*f[a[1]^6]*f[b[2]*c[2]]*f[a[1]^2*b[2]*c[2]])/1162261467 - 
  (63367844*f[a[2]^2]*f[b[2]*c[2]]*f[a[1]^2*b[2]*c[2]])/129140163 - 
  (7520972*f[a[1]^2*a[2]^2]*f[b[2]*c[2]]*f[a[1]^2*b[2]*c[2]])/
   3486784401 + (1819328*f[a[1]*a[3]]*f[b[2]*c[2]]*
     f[a[1]^2*b[2]*c[2]])/14348907 - 
  (160360768*f[a[1]^3*a[3]]*f[b[2]*c[2]]*f[a[1]^2*b[2]*c[2]])/
   387420489 - (48740122*f[a[3]^2]*f[b[2]*c[2]]*f[a[1]^2*b[2]*c[2]])/
   1162261467 + (715255808*f[a[2]*a[4]]*f[b[2]*c[2]]*
     f[a[1]^2*b[2]*c[2]])/3486784401 - 
  (118256320*f[a[1]*a[5]]*f[b[2]*c[2]]*f[a[1]^2*b[2]*c[2]])/
   1162261467 - (4363610*f[b[1]*c[1]]*f[b[2]*c[2]]*
     f[a[1]^2*b[2]*c[2]])/43046721 + 
  (156217238*f[a[1]^2*b[1]*c[1]]*f[b[2]*c[2]]*f[a[1]^2*b[2]*c[2]])/
   387420489 - (4577426890*f[a[1]^4*b[1]*c[1]]*f[b[2]*c[2]]*
     f[a[1]^2*b[2]*c[2]])/10460353203 + 
  (6808977044*f[a[2]^2*b[1]*c[1]]*f[b[2]*c[2]]*f[a[1]^2*b[2]*c[2]])/
   31381059609 - (195489728*f[a[1]*a[3]*b[1]*c[1]]*f[b[2]*c[2]]*
     f[a[1]^2*b[2]*c[2]])/3486784401 - 
  (41605600*f[b[3]*c[1]]*f[b[2]*c[2]]*f[a[1]^2*b[2]*c[2]])/129140163 + 
  (1489480480*f[a[1]^2*b[3]*c[1]]*f[b[2]*c[2]]*f[a[1]^2*b[2]*c[2]])/
   1162261467 + (591176800*f[b[5]*c[1]]*f[b[2]*c[2]]*
     f[a[1]^2*b[2]*c[2]])/3486784401 + 
  (4805*f[b[2]*c[2]]^2*f[a[1]^2*b[2]*c[2]])/59049 - 
  (129952*f[a[1]]*f[a[1]*b[2]*c[2]]*f[a[1]^2*b[2]*c[2]])/177147 - 
  (48991904*f[a[1]^3]*f[a[1]*b[2]*c[2]]*f[a[1]^2*b[2]*c[2]])/43046721 + 
  (2888183200*f[a[1]^5]*f[a[1]*b[2]*c[2]]*f[a[1]^2*b[2]*c[2]])/
   1162261467 + (790887872*f[a[1]*a[2]^2]*f[a[1]*b[2]*c[2]]*
     f[a[1]^2*b[2]*c[2]])/3486784401 + 
  (129952*f[a[3]]*f[a[1]*b[2]*c[2]]*f[a[1]^2*b[2]*c[2]])/1594323 - 
  (14164768*f[a[1]^2*a[3]]*f[a[1]*b[2]*c[2]]*f[a[1]^2*b[2]*c[2]])/
   387420489 - (8446880*f[a[5]]*f[a[1]*b[2]*c[2]]*f[a[1]^2*b[2]*c[2]])/
   129140163 + (13963552*f[a[1]*b[1]*c[1]]*f[a[1]*b[2]*c[2]]*
     f[a[1]^2*b[2]*c[2]])/43046721 + 
  (5264259104*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[2]*c[2]]*
     f[a[1]^2*b[2]*c[2]])/10460353203 - 
  (13963552*f[a[3]*b[1]*c[1]]*f[a[1]*b[2]*c[2]]*f[a[1]^2*b[2]*c[2]])/
   387420489 + (133137920*f[a[1]*b[3]*c[1]]*f[a[1]*b[2]*c[2]]*
     f[a[1]^2*b[2]*c[2]])/129140163 - 
  (15376*f[a[1]*b[2]*c[2]]^2*f[a[1]^2*b[2]*c[2]])/59049 - 
  (726919*f[1]*f[a[1]^2*b[2]*c[2]]^2)/1594323 - 
  (33791581*f[a[1]^2]*f[a[1]^2*b[2]*c[2]]^2)/43046721 - 
  (1060867213*f[a[1]^4]*f[a[1]^2*b[2]*c[2]]^2)/1162261467 + 
  (39647847575*f[a[1]^6]*f[a[1]^2*b[2]*c[2]]^2)/10460353203 + 
  (2291711642*f[a[2]^2]*f[a[1]^2*b[2]*c[2]]^2)/3486784401 + 
  (4616617898*f[a[1]^2*a[2]^2]*f[a[1]^2*b[2]*c[2]]^2)/31381059609 + 
  (14164768*f[a[1]*a[3]]*f[a[1]^2*b[2]*c[2]]^2)/387420489 - 
  (1676250848*f[a[1]^3*a[3]]*f[a[1]^2*b[2]*c[2]]^2)/10460353203 + 
  (536860139*f[a[3]^2]*f[a[1]^2*b[2]*c[2]]^2)/10460353203 - 
  (2786170880*f[a[2]*a[4]]*f[a[1]^2*b[2]*c[2]]^2)/10460353203 - 
  (920709920*f[a[1]*a[5]]*f[a[1]^2*b[2]*c[2]]^2)/31381059609 + 
  (78108619*f[b[1]*c[1]]*f[a[1]^2*b[2]*c[2]]^2)/387420489 + 
  (3630959881*f[a[1]^2*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]]^2)/10460353203 + 
  (113991893113*f[a[1]^4*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]]^2)/282429536481 - 
  (246248112242*f[a[2]^2*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]]^2)/847288609443 - 
  (1522027168*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]]^2)/94143178827 + 
  (744740240*f[b[3]*c[1]]*f[a[1]^2*b[2]*c[2]]^2)/1162261467 + 
  (34620019760*f[a[1]^2*b[3]*c[1]]*f[a[1]^2*b[2]*c[2]]^2)/31381059609 - 
  (10582064720*f[b[5]*c[1]]*f[a[1]^2*b[2]*c[2]]^2)/31381059609 - 
  (172019*f[b[2]*c[2]]*f[a[1]^2*b[2]*c[2]]^2)/531441 - 
  (7996481*f[a[1]^2*b[2]*c[2]]^3)/43046721 + 
  (9728*f[1]*f[a[2]]*f[a[2]*b[2]*c[2]])/19683 + 
  (165376*f[a[1]^2]*f[a[2]]*f[a[2]*b[2]*c[2]])/1594323 - 
  (2383360*f[a[1]^4]*f[a[2]]*f[a[2]*b[2]*c[2]])/14348907 + 
  (1216000*f[a[1]^6]*f[a[2]]*f[a[2]*b[2]*c[2]])/4782969 + 
  (311296*f[a[1]]*f[a[1]*a[2]]*f[a[2]*b[2]*c[2]])/1594323 + 
  (3424256*f[a[1]^3]*f[a[1]*a[2]]*f[a[2]*b[2]*c[2]])/14348907 - 
  (7782400*f[a[1]^5]*f[a[1]*a[2]]*f[a[2]*b[2]*c[2]])/14348907 - 
  (48640*f[1]*f[a[1]^2*a[2]]*f[a[2]*b[2]*c[2]])/531441 + 
  (4153856*f[a[1]^2]*f[a[1]^2*a[2]]*f[a[2]*b[2]*c[2]])/43046721 + 
  (280876544*f[a[1]^4]*f[a[1]^2*a[2]]*f[a[2]*b[2]*c[2]])/387420489 - 
  (7510745600*f[a[1]^6]*f[a[1]^2*a[2]]*f[a[2]*b[2]*c[2]])/3486784401 - 
  (1556480*f[a[1]]*f[a[1]^3*a[2]]*f[a[2]*b[2]*c[2]])/14348907 - 
  (17121280*f[a[1]^3]*f[a[1]^3*a[2]]*f[a[2]*b[2]*c[2]])/129140163 + 
  (28653240320*f[a[1]^5]*f[a[1]^3*a[2]]*f[a[2]*b[2]*c[2]])/
   10460353203 + (243200*f[1]*f[a[1]^4*a[2]]*f[a[2]*b[2]*c[2]])/
   4782969 - (15224320*f[a[1]^2]*f[a[1]^4*a[2]]*f[a[2]*b[2]*c[2]])/
   129140163 - (13347817984*f[a[1]^4]*f[a[1]^4*a[2]]*
     f[a[2]*b[2]*c[2]])/10460353203 + 
  (1166410595840*f[a[1]^6]*f[a[1]^4*a[2]]*f[a[2]*b[2]*c[2]])/
   94143178827 - (19456*f[a[2]]*f[a[2]^2]*f[a[2]*b[2]*c[2]])/19683 - 
  (8774656*f[a[1]^2*a[2]]*f[a[2]^2]*f[a[2]*b[2]*c[2]])/387420489 + 
  (442332160*f[a[1]^4*a[2]]*f[a[2]^2]*f[a[2]*b[2]*c[2]])/3486784401 - 
  (230981632*f[a[1]*a[2]]*f[a[1]*a[2]^2]*f[a[2]*b[2]*c[2]])/387420489 - 
  (1635549184*f[a[1]^3*a[2]]*f[a[1]*a[2]^2]*f[a[2]*b[2]*c[2]])/
   10460353203 + (79010816*f[a[2]]*f[a[1]^2*a[2]^2]*f[a[2]*b[2]*c[2]])/
   387420489 - (20002382848*f[a[1]^2*a[2]]*f[a[1]^2*a[2]^2]*
     f[a[2]*b[2]*c[2]])/31381059609 - 
  (213923875840*f[a[1]^4*a[2]]*f[a[1]^2*a[2]^2]*f[a[2]*b[2]*c[2]])/
   282429536481 + (252928*f[1]*f[a[2]^3]*f[a[2]*b[2]*c[2]])/1594323 + 
  (27997184*f[a[1]^2]*f[a[2]^3]*f[a[2]*b[2]*c[2]])/43046721 - 
  (2629692416*f[a[1]^4]*f[a[2]^3]*f[a[2]*b[2]*c[2]])/10460353203 - 
  (30170905600*f[a[1]^6]*f[a[2]^3]*f[a[2]*b[2]*c[2]])/94143178827 + 
  (1152145408*f[a[2]^2]*f[a[2]^3]*f[a[2]*b[2]*c[2]])/387420489 - 
  (185182208*f[a[1]^2*a[2]^2]*f[a[2]^3]*f[a[2]*b[2]*c[2]])/387420489 - 
  (311296*f[a[1]*a[2]]*f[a[3]]*f[a[2]*b[2]*c[2]])/1594323 + 
  (1556480*f[a[1]^3*a[2]]*f[a[3]]*f[a[2]*b[2]*c[2]])/14348907 + 
  (622592*f[a[2]]*f[a[1]*a[3]]*f[a[2]*b[2]*c[2]])/1594323 - 
  (112689152*f[a[1]^2*a[2]]*f[a[1]*a[3]]*f[a[2]*b[2]*c[2]])/387420489 + 
  (986808320*f[a[1]^4*a[2]]*f[a[1]*a[3]]*f[a[2]*b[2]*c[2]])/
   3486784401 + (447021056*f[a[2]^3]*f[a[1]*a[3]]*f[a[2]*b[2]*c[2]])/
   387420489 + (59457536*f[a[1]*a[2]]*f[a[1]^2*a[3]]*
     f[a[2]*b[2]*c[2]])/129140163 - 
  (2166931456*f[a[1]^3*a[2]]*f[a[1]^2*a[3]]*f[a[2]*b[2]*c[2]])/
   3486784401 - (18055168*f[a[2]]*f[a[1]^3*a[3]]*f[a[2]*b[2]*c[2]])/
   129140163 + (968130560*f[a[1]^2*a[2]]*f[a[1]^3*a[3]]*
     f[a[2]*b[2]*c[2]])/1162261467 - 
  (54093905920*f[a[1]^4*a[2]]*f[a[1]^3*a[3]]*f[a[2]*b[2]*c[2]])/
   31381059609 + (13812826112*f[a[2]^3]*f[a[1]^3*a[3]]*
     f[a[2]*b[2]*c[2]])/31381059609 - 
  (311296*f[a[1]]*f[a[2]*a[3]]*f[a[2]*b[2]*c[2]])/1594323 + 
  (9027584*f[a[1]^3]*f[a[2]*a[3]]*f[a[2]*b[2]*c[2]])/129140163 - 
  (101171200*f[a[1]^5]*f[a[2]*a[3]]*f[a[2]*b[2]*c[2]])/3486784401 + 
  (55410688*f[a[1]*a[2]^2]*f[a[2]*a[3]]*f[a[2]*b[2]*c[2]])/1162261467 + 
  (65060864*f[a[3]]*f[a[2]*a[3]]*f[a[2]*b[2]*c[2]])/129140163 + 
  (1240514560*f[a[1]^2*a[3]]*f[a[2]*a[3]]*f[a[2]*b[2]*c[2]])/
   10460353203 + (311296*f[1]*f[a[1]*a[2]*a[3]]*f[a[2]*b[2]*c[2]])/
   4782969 - (26460160*f[a[1]^2]*f[a[1]*a[2]*a[3]]*f[a[2]*b[2]*c[2]])/
   129140163 + (451690496*f[a[1]^4]*f[a[1]*a[2]*a[3]]*
     f[a[2]*b[2]*c[2]])/3486784401 - 
  (521420800*f[a[1]^6]*f[a[1]*a[2]*a[3]]*f[a[2]*b[2]*c[2]])/
   10460353203 - (549748736*f[a[2]^2]*f[a[1]*a[2]*a[3]]*
     f[a[2]*b[2]*c[2]])/1162261467 + 
  (26704838656*f[a[1]^2*a[2]^2]*f[a[1]*a[2]*a[3]]*f[a[2]*b[2]*c[2]])/
   94143178827 + (2306080768*f[a[1]*a[3]]*f[a[1]*a[2]*a[3]]*
     f[a[2]*b[2]*c[2]])/10460353203 + 
  (25605963776*f[a[1]^3*a[3]]*f[a[1]*a[2]*a[3]]*f[a[2]*b[2]*c[2]])/
   94143178827 + (61354496*f[a[2]]*f[a[3]^2]*f[a[2]*b[2]*c[2]])/
   129140163 - (142408192*f[a[1]^2*a[2]]*f[a[3]^2]*f[a[2]*b[2]*c[2]])/
   3486784401 - (109780480*f[a[1]^4*a[2]]*f[a[3]^2]*f[a[2]*b[2]*c[2]])/
   31381059609 + (19525866496*f[a[2]^3]*f[a[3]^2]*f[a[2]*b[2]*c[2]])/
   10460353203 - (16131670016*f[a[1]*a[2]*a[3]]*f[a[3]^2]*
     f[a[2]*b[2]*c[2]])/31381059609 - 
  (38912*f[1]*f[a[4]]*f[a[2]*b[2]*c[2]])/1594323 - 
  (3540992*f[a[1]^2]*f[a[4]]*f[a[2]*b[2]*c[2]])/43046721 + 
  (36382720*f[a[1]^4]*f[a[4]]*f[a[2]*b[2]*c[2]])/387420489 - 
  (1376512000*f[a[1]^6]*f[a[4]]*f[a[2]*b[2]*c[2]])/10460353203 + 
  (77824*f[a[2]^2]*f[a[4]]*f[a[2]*b[2]*c[2]])/1594323 - 
  (63893504*f[a[1]^2*a[2]^2]*f[a[4]]*f[a[2]*b[2]*c[2]])/3486784401 + 
  (62259200*f[a[1]*a[3]]*f[a[4]]*f[a[2]*b[2]*c[2]])/387420489 - 
  (430833664*f[a[1]^3*a[3]]*f[a[4]]*f[a[2]*b[2]*c[2]])/3486784401 + 
  (8271640576*f[a[3]^2]*f[a[4]]*f[a[2]*b[2]*c[2]])/10460353203 + 
  (1245184*f[a[1]]*f[a[1]*a[4]]*f[a[2]*b[2]*c[2]])/43046721 - 
  (65994752*f[a[1]^3]*f[a[1]*a[4]]*f[a[2]*b[2]*c[2]])/387420489 + 
  (3144089600*f[a[1]^5]*f[a[1]*a[4]]*f[a[2]*b[2]*c[2]])/10460353203 + 
  (3603562496*f[a[1]*a[2]^2]*f[a[1]*a[4]]*f[a[2]*b[2]*c[2]])/
   31381059609 - (90898432*f[a[3]]*f[a[1]*a[4]]*f[a[2]*b[2]*c[2]])/
   387420489 + (875364352*f[a[1]^2*a[3]]*f[a[1]*a[4]]*
     f[a[2]*b[2]*c[2]])/3486784401 + 
  (194560*f[1]*f[a[1]^2*a[4]]*f[a[2]*b[2]*c[2]])/43046721 + 
  (13035520*f[a[1]^2]*f[a[1]^2*a[4]]*f[a[2]*b[2]*c[2]])/129140163 - 
  (5003266048*f[a[1]^4]*f[a[1]^2*a[4]]*f[a[2]*b[2]*c[2]])/10460353203 + 
  (331128473600*f[a[1]^6]*f[a[1]^2*a[4]]*f[a[2]*b[2]*c[2]])/
   282429536481 + (35098624*f[a[2]^2]*f[a[1]^2*a[4]]*
     f[a[2]*b[2]*c[2]])/31381059609 + 
  (57420025856*f[a[1]^2*a[2]^2]*f[a[1]^2*a[4]]*f[a[2]*b[2]*c[2]])/
   282429536481 - (1093271552*f[a[1]*a[3]]*f[a[1]^2*a[4]]*
     f[a[2]*b[2]*c[2]])/3486784401 + 
  (54611279872*f[a[1]^3*a[3]]*f[a[1]^2*a[4]]*f[a[2]*b[2]*c[2]])/
   94143178827 - (23845935104*f[a[3]^2]*f[a[1]^2*a[4]]*
     f[a[2]*b[2]*c[2]])/282429536481 + 
  (318767104*f[a[1]^2*a[2]]*f[a[2]*a[4]]*f[a[2]*b[2]*c[2]])/
   31381059609 - (3187671040*f[a[1]^4*a[2]]*f[a[2]*a[4]]*
     f[a[2]*b[2]*c[2]])/282429536481 - 
  (5100273664*f[a[2]^3]*f[a[2]*a[4]]*f[a[2]*b[2]*c[2]])/31381059609 + 
  (1593835520*f[a[1]*a[2]*a[3]]*f[a[2]*a[4]]*f[a[2]*b[2]*c[2]])/
   94143178827 - (31876710400*f[a[4]]*f[a[2]*a[4]]*f[a[2]*b[2]*c[2]])/
   31381059609 - (181059715072*f[a[1]^2*a[4]]*f[a[2]*a[4]]*
     f[a[2]*b[2]*c[2]])/847288609443 + 
  (35799040*f[a[1]*a[2]]*f[a[5]]*f[a[2]*b[2]*c[2]])/387420489 - 
  (178995200*f[a[1]^3*a[2]]*f[a[5]]*f[a[2]*b[2]*c[2]])/3486784401 + 
  (91832320*f[a[2]*a[3]]*f[a[5]]*f[a[2]*b[2]*c[2]])/1162261467 - 
  (9531883520*f[a[1]*a[4]]*f[a[5]]*f[a[2]*b[2]*c[2]])/31381059609 - 
  (71598080*f[a[2]]*f[a[1]*a[5]]*f[a[2]*b[2]*c[2]])/387420489 + 
  (4186931200*f[a[1]^2*a[2]]*f[a[1]*a[5]]*f[a[2]*b[2]*c[2]])/
   31381059609 - (36499456000*f[a[1]^4*a[2]]*f[a[1]*a[5]]*
     f[a[2]*b[2]*c[2]])/282429536481 - 
  (15010693120*f[a[2]^3]*f[a[1]*a[5]]*f[a[2]*b[2]*c[2]])/31381059609 + 
  (1319895040*f[a[1]*a[2]*a[3]]*f[a[1]*a[5]]*f[a[2]*b[2]*c[2]])/
   94143178827 + (3498967040*f[a[4]]*f[a[1]*a[5]]*f[a[2]*b[2]*c[2]])/
   10460353203 - (353619804160*f[a[1]^2*a[4]]*f[a[1]*a[5]]*
     f[a[2]*b[2]*c[2]])/847288609443 + 
  (107008*f[1]*f[a[6]]*f[a[2]*b[2]*c[2]])/4782969 + 
  (7247360*f[a[1]^2]*f[a[6]]*f[a[2]*b[2]*c[2]])/129140163 - 
  (25049600*f[a[1]^4]*f[a[6]]*f[a[2]*b[2]*c[2]])/387420489 + 
  (2851520000*f[a[1]^6]*f[a[6]]*f[a[2]*b[2]*c[2]])/31381059609 - 
  (214016*f[a[2]^2]*f[a[6]]*f[a[2]*b[2]*c[2]])/4782969 + 
  (462371840*f[a[1]^2*a[2]^2]*f[a[6]]*f[a[2]*b[2]*c[2]])/31381059609 - 
  (432701440*f[a[1]*a[3]]*f[a[6]]*f[a[2]*b[2]*c[2]])/10460353203 + 
  (4404838400*f[a[1]^3*a[3]]*f[a[6]]*f[a[2]*b[2]*c[2]])/94143178827 - 
  (3327958528*f[a[3]^2]*f[a[6]]*f[a[2]*b[2]*c[2]])/10460353203 + 
  (2550136832*f[a[2]*a[4]]*f[a[6]]*f[a[2]*b[2]*c[2]])/94143178827 + 
  (32981811200*f[a[1]*a[5]]*f[a[6]]*f[a[2]*b[2]*c[2]])/94143178827 + 
  (1959424*f[a[2]]*f[b[1]*c[1]]*f[a[2]*b[2]*c[2]])/1594323 - 
  (9797120*f[a[1]^2*a[2]]*f[b[1]*c[1]]*f[a[2]*b[2]*c[2]])/43046721 + 
  (48985600*f[a[1]^4*a[2]]*f[b[1]*c[1]]*f[a[2]*b[2]*c[2]])/387420489 + 
  (50945024*f[a[2]^3]*f[b[1]*c[1]]*f[a[2]*b[2]*c[2]])/129140163 + 
  (62701568*f[a[1]*a[2]*a[3]]*f[b[1]*c[1]]*f[a[2]*b[2]*c[2]])/
   387420489 - (7837696*f[a[4]]*f[b[1]*c[1]]*f[a[2]*b[2]*c[2]])/
   129140163 + (39188480*f[a[1]^2*a[4]]*f[b[1]*c[1]]*
     f[a[2]*b[2]*c[2]])/3486784401 + 
  (21553664*f[a[6]]*f[b[1]*c[1]]*f[a[2]*b[2]*c[2]])/387420489 + 
  (62701568*f[a[1]*a[2]]*f[a[1]*b[1]*c[1]]*f[a[2]*b[2]*c[2]])/
   129140163 - (313507840*f[a[1]^3*a[2]]*f[a[1]*b[1]*c[1]]*
     f[a[2]*b[2]*c[2]])/1162261467 - 
  (62701568*f[a[2]*a[3]]*f[a[1]*b[1]*c[1]]*f[a[2]*b[2]*c[2]])/
   129140163 + (250806272*f[a[1]*a[4]]*f[a[1]*b[1]*c[1]]*
     f[a[2]*b[2]*c[2]])/3486784401 + 
  (33310208*f[a[2]]*f[a[1]^2*b[1]*c[1]]*f[a[2]*b[2]*c[2]])/129140163 + 
  (836674048*f[a[1]^2*a[2]]*f[a[1]^2*b[1]*c[1]]*f[a[2]*b[2]*c[2]])/
   3486784401 - (3066498560*f[a[1]^4*a[2]]*f[a[1]^2*b[1]*c[1]]*
     f[a[2]*b[2]*c[2]])/10460353203 + 
  (5639222272*f[a[2]^3]*f[a[1]^2*b[1]*c[1]]*f[a[2]*b[2]*c[2]])/
   3486784401 - (5329633280*f[a[1]*a[2]*a[3]]*f[a[1]^2*b[1]*c[1]]*
     f[a[2]*b[2]*c[2]])/10460353203 - 
  (713230336*f[a[4]]*f[a[1]^2*b[1]*c[1]]*f[a[2]*b[2]*c[2]])/
   3486784401 + (2625628160*f[a[1]^2*a[4]]*f[a[1]^2*b[1]*c[1]]*
     f[a[2]*b[2]*c[2]])/10460353203 + 
  (1459770880*f[a[6]]*f[a[1]^2*b[1]*c[1]]*f[a[2]*b[2]*c[2]])/
   10460353203 + (689717248*f[a[1]*a[2]]*f[a[1]^3*b[1]*c[1]]*
     f[a[2]*b[2]*c[2]])/1162261467 - 
  (3448586240*f[a[1]^3*a[2]]*f[a[1]^3*b[1]*c[1]]*f[a[2]*b[2]*c[2]])/
   10460353203 + (1818345472*f[a[2]*a[3]]*f[a[1]^3*b[1]*c[1]]*
     f[a[2]*b[2]*c[2]])/10460353203 - 
  (13292732416*f[a[1]*a[4]]*f[a[1]^3*b[1]*c[1]]*f[a[2]*b[2]*c[2]])/
   31381059609 - (480058880*f[a[2]]*f[a[1]^4*b[1]*c[1]]*
     f[a[2]*b[2]*c[2]])/1162261467 + 
  (56574449152*f[a[1]^2*a[2]]*f[a[1]^4*b[1]*c[1]]*f[a[2]*b[2]*c[2]])/
   31381059609 - (2688531548672*f[a[1]^4*a[2]]*f[a[1]^4*b[1]*c[1]]*
     f[a[2]*b[2]*c[2]])/847288609443 - 
  (529675414528*f[a[2]^3]*f[a[1]^4*b[1]*c[1]]*f[a[2]*b[2]*c[2]])/
   847288609443 + (90979975168*f[a[1]*a[2]*a[3]]*f[a[1]^4*b[1]*c[1]]*
     f[a[2]*b[2]*c[2]])/282429536481 + 
  (7328245760*f[a[4]]*f[a[1]^4*b[1]*c[1]]*f[a[2]*b[2]*c[2]])/
   31381059609 - (1007763113984*f[a[1]^2*a[4]]*f[a[1]^4*b[1]*c[1]]*
     f[a[2]*b[2]*c[2]])/847288609443 - 
  (5045516800*f[a[6]]*f[a[1]^4*b[1]*c[1]]*f[a[2]*b[2]*c[2]])/
   31381059609 + (1959424*f[1]*f[a[2]*b[1]*c[1]]*f[a[2]*b[2]*c[2]])/
   1594323 + (33310208*f[a[1]^2]*f[a[2]*b[1]*c[1]]*f[a[2]*b[2]*c[2]])/
   129140163 - (480058880*f[a[1]^4]*f[a[2]*b[1]*c[1]]*
     f[a[2]*b[2]*c[2]])/1162261467 + 
  (244928000*f[a[1]^6]*f[a[2]*b[1]*c[1]]*f[a[2]*b[2]*c[2]])/387420489 - 
  (3918848*f[a[2]^2]*f[a[2]*b[1]*c[1]]*f[a[2]*b[2]*c[2]])/1594323 + 
  (15914441728*f[a[1]^2*a[2]^2]*f[a[2]*b[1]*c[1]]*f[a[2]*b[2]*c[2]])/
   31381059609 + (125403136*f[a[1]*a[3]]*f[a[2]*b[1]*c[1]]*
     f[a[2]*b[2]*c[2]])/129140163 - 
  (3636690944*f[a[1]^3*a[3]]*f[a[2]*b[1]*c[1]]*f[a[2]*b[2]*c[2]])/
   10460353203 + (12358087168*f[a[3]^2]*f[a[2]*b[1]*c[1]]*
     f[a[2]*b[2]*c[2]])/10460353203 - 
  (14421360640*f[a[1]*a[5]]*f[a[2]*b[1]*c[1]]*f[a[2]*b[2]*c[2]])/
   31381059609 + (63922688*f[b[1]*c[1]]*f[a[2]*b[1]*c[1]]*
     f[a[2]*b[2]*c[2]])/43046721 + 
  (1086685696*f[a[1]^2*b[1]*c[1]]*f[a[2]*b[1]*c[1]]*f[a[2]*b[2]*c[2]])/
   3486784401 - (15661058560*f[a[1]^4*b[1]*c[1]]*f[a[2]*b[1]*c[1]]*
     f[a[2]*b[2]*c[2]])/31381059609 + 
  (62701568*f[a[1]]*f[a[1]*a[2]*b[1]*c[1]]*f[a[2]*b[2]*c[2]])/
   129140163 + (689717248*f[a[1]^3]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[2]*b[2]*c[2]])/1162261467 - 
  (1567539200*f[a[1]^5]*f[a[1]*a[2]*b[1]*c[1]]*f[a[2]*b[2]*c[2]])/
   1162261467 - (46524563456*f[a[1]*a[2]^2]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[2]*b[2]*c[2]])/31381059609 - 
  (62701568*f[a[3]]*f[a[1]*a[2]*b[1]*c[1]]*f[a[2]*b[2]*c[2]])/
   129140163 + (11975999488*f[a[1]^2*a[3]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[2]*b[2]*c[2]])/10460353203 + 
  (7210680320*f[a[5]]*f[a[1]*a[2]*b[1]*c[1]]*f[a[2]*b[2]*c[2]])/
   31381059609 + (2045526016*f[a[1]*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[2]*b[2]*c[2]])/3486784401 + 
  (22500786176*f[a[1]^3*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[2]*b[2]*c[2]])/31381059609 - 
  (9797120*f[1]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[2]*b[2]*c[2]])/43046721 + 
  (836674048*f[a[1]^2]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[2]*b[2]*c[2]])/
   3486784401 + (56574449152*f[a[1]^4]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[2]*b[2]*c[2]])/31381059609 - 
  (1512822284800*f[a[1]^6]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[2]*b[2]*c[2]])/
   282429536481 - (1767400448*f[a[2]^2]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[2]*b[2]*c[2]])/31381059609 - 
  (4028901008384*f[a[1]^2*a[2]^2]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[2]*b[2]*c[2]])/2541865828329 - 
  (22697967616*f[a[1]*a[3]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[2]*b[2]*c[2]])/31381059609 + 
  (195001876480*f[a[1]^3*a[3]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[2]*b[2]*c[2]])/94143178827 - 
  (28684007936*f[a[3]^2]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[2]*b[2]*c[2]])/
   282429536481 + (64206405632*f[a[2]*a[4]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[2]*b[2]*c[2]])/2541865828329 + 
  (843336089600*f[a[1]*a[5]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[2]*b[2]*c[2]])/2541865828329 - 
  (319613440*f[b[1]*c[1]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[2]*b[2]*c[2]])/
   1162261467 + (27294987776*f[a[1]^2*b[1]*c[1]]*
     f[a[1]^2*a[2]*b[1]*c[1]]*f[a[2]*b[2]*c[2]])/94143178827 + 
  (1845639770624*f[a[1]^4*b[1]*c[1]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[2]*b[2]*c[2]])/847288609443 - 
  (3918848*f[a[2]]*f[a[2]^2*b[1]*c[1]]*f[a[2]*b[2]*c[2]])/1594323 - 
  (1767400448*f[a[1]^2*a[2]]*f[a[2]^2*b[1]*c[1]]*f[a[2]*b[2]*c[2]])/
   31381059609 + (89095009280*f[a[1]^4*a[2]]*f[a[2]^2*b[1]*c[1]]*
     f[a[2]*b[2]*c[2]])/282429536481 + 
  (232066340864*f[a[2]^3]*f[a[2]^2*b[1]*c[1]]*f[a[2]*b[2]*c[2]])/
   31381059609 - (110730969088*f[a[1]*a[2]*a[3]]*f[a[2]^2*b[1]*c[1]]*
     f[a[2]*b[2]*c[2]])/94143178827 + 
  (15675392*f[a[4]]*f[a[2]^2*b[1]*c[1]]*f[a[2]*b[2]*c[2]])/129140163 + 
  (7069601792*f[a[1]^2*a[4]]*f[a[2]^2*b[1]*c[1]]*f[a[2]*b[2]*c[2]])/
   2541865828329 - (43107328*f[a[6]]*f[a[2]^2*b[1]*c[1]]*
     f[a[2]*b[2]*c[2]])/387420489 - 
  (127845376*f[a[2]*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]]*f[a[2]*b[2]*c[2]])/
   43046721 - (57658264576*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]]*
     f[a[2]*b[2]*c[2]])/847288609443 - 
  (62701568*f[a[1]*a[2]]*f[a[3]*b[1]*c[1]]*f[a[2]*b[2]*c[2]])/
   129140163 + (313507840*f[a[1]^3*a[2]]*f[a[3]*b[1]*c[1]]*
     f[a[2]*b[2]*c[2]])/1162261467 + 
  (13104627712*f[a[2]*a[3]]*f[a[3]*b[1]*c[1]]*f[a[2]*b[2]*c[2]])/
   10460353203 - (18308857856*f[a[1]*a[4]]*f[a[3]*b[1]*c[1]]*
     f[a[2]*b[2]*c[2]])/31381059609 - 
  (2045526016*f[a[1]*a[2]*b[1]*c[1]]*f[a[3]*b[1]*c[1]]*
     f[a[2]*b[2]*c[2]])/3486784401 + 
  (125403136*f[a[2]]*f[a[1]*a[3]*b[1]*c[1]]*f[a[2]*b[2]*c[2]])/
   129140163 - (22697967616*f[a[1]^2*a[2]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[2]*b[2]*c[2]])/31381059609 + 
  (198763970560*f[a[1]^4*a[2]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[2]*b[2]*c[2]])/282429536481 + 
  (90039451648*f[a[2]^3]*f[a[1]*a[3]*b[1]*c[1]]*f[a[2]*b[2]*c[2]])/
   31381059609 + (464493215744*f[a[1]*a[2]*a[3]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[2]*b[2]*c[2]])/847288609443 + 
  (12540313600*f[a[4]]*f[a[1]*a[3]*b[1]*c[1]]*f[a[2]*b[2]*c[2]])/
   31381059609 - (220207906816*f[a[1]^2*a[4]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[2]*b[2]*c[2]])/282429536481 - 
  (87155179520*f[a[6]]*f[a[1]*a[3]*b[1]*c[1]]*f[a[2]*b[2]*c[2]])/
   847288609443 + (4091052032*f[a[2]*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[2]*b[2]*c[2]])/3486784401 - 
  (740480417792*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[2]*b[2]*c[2]])/847288609443 - 
  (7837696*f[1]*f[a[4]*b[1]*c[1]]*f[a[2]*b[2]*c[2]])/129140163 - 
  (713230336*f[a[1]^2]*f[a[4]*b[1]*c[1]]*f[a[2]*b[2]*c[2]])/
   3486784401 + (7328245760*f[a[1]^4]*f[a[4]*b[1]*c[1]]*
     f[a[2]*b[2]*c[2]])/31381059609 - 
  (277258496000*f[a[1]^6]*f[a[4]*b[1]*c[1]]*f[a[2]*b[2]*c[2]])/
   847288609443 + (15675392*f[a[2]^2]*f[a[4]*b[1]*c[1]]*
     f[a[2]*b[2]*c[2]])/129140163 - 
  (12869496832*f[a[1]^2*a[2]^2]*f[a[4]*b[1]*c[1]]*f[a[2]*b[2]*c[2]])/
   282429536481 + (12540313600*f[a[1]*a[3]]*f[a[4]*b[1]*c[1]]*
     f[a[2]*b[2]*c[2]])/31381059609 - 
  (86778970112*f[a[1]^3*a[3]]*f[a[4]*b[1]*c[1]]*f[a[2]*b[2]*c[2]])/
   282429536481 + (1666082551808*f[a[3]^2]*f[a[4]*b[1]*c[1]]*
     f[a[2]*b[2]*c[2]])/847288609443 - 
  (6420640563200*f[a[2]*a[4]]*f[a[4]*b[1]*c[1]]*f[a[2]*b[2]*c[2]])/
   2541865828329 + (704765624320*f[a[1]*a[5]]*f[a[4]*b[1]*c[1]]*
     f[a[2]*b[2]*c[2]])/847288609443 - 
  (255690752*f[b[1]*c[1]]*f[a[4]*b[1]*c[1]]*f[a[2]*b[2]*c[2]])/
   3486784401 - (23267858432*f[a[1]^2*b[1]*c[1]]*f[a[4]*b[1]*c[1]]*
     f[a[2]*b[2]*c[2]])/94143178827 + 
  (239070853120*f[a[1]^4*b[1]*c[1]]*f[a[4]*b[1]*c[1]]*
     f[a[2]*b[2]*c[2]])/847288609443 + 
  (511381504*f[a[2]^2*b[1]*c[1]]*f[a[4]*b[1]*c[1]]*f[a[2]*b[2]*c[2]])/
   3486784401 + (409105203200*f[a[1]*a[3]*b[1]*c[1]]*f[a[4]*b[1]*c[1]]*
     f[a[2]*b[2]*c[2]])/847288609443 - 
  (1146880*f[a[1]]*f[b[2]*c[1]]*f[a[2]*b[2]*c[2]])/1594323 + 
  (5734400*f[a[1]^3]*f[b[2]*c[1]]*f[a[2]*b[2]*c[2]])/14348907 - 
  (143360000*f[a[1]^5]*f[b[2]*c[1]]*f[a[2]*b[2]*c[2]])/387420489 - 
  (29818880*f[a[1]*a[2]^2]*f[b[2]*c[1]]*f[a[2]*b[2]*c[2]])/387420489 - 
  (5734400*f[a[3]]*f[b[2]*c[1]]*f[a[2]*b[2]*c[2]])/4782969 + 
  (12615680*f[a[1]^2*a[3]]*f[b[2]*c[1]]*f[a[2]*b[2]*c[2]])/387420489 + 
  (63078400*f[a[5]]*f[b[2]*c[1]]*f[a[2]*b[2]*c[2]])/129140163 - 
  (37273600*f[a[1]*b[1]*c[1]]*f[b[2]*c[1]]*f[a[2]*b[2]*c[2]])/
   129140163 + (186368000*f[a[1]^3*b[1]*c[1]]*f[b[2]*c[1]]*
     f[a[2]*b[2]*c[2]])/1162261467 - 
  (186368000*f[a[3]*b[1]*c[1]]*f[b[2]*c[1]]*f[a[2]*b[2]*c[2]])/
   387420489 + (1146880*f[1]*f[a[1]*b[2]*c[1]]*f[a[2]*b[2]*c[2]])/
   1594323 - (42434560*f[a[1]^2]*f[a[1]*b[2]*c[1]]*f[a[2]*b[2]*c[2]])/
   43046721 + (131891200*f[a[1]^4]*f[a[1]*b[2]*c[1]]*
     f[a[2]*b[2]*c[2]])/129140163 - 
  (14479360000*f[a[1]^6]*f[a[1]*b[2]*c[1]]*f[a[2]*b[2]*c[2]])/
   10460353203 + (617021440*f[a[2]^2]*f[a[1]*b[2]*c[1]]*
     f[a[2]*b[2]*c[2]])/387420489 - 
  (1346437120*f[a[1]^2*a[2]^2]*f[a[1]*b[2]*c[1]]*f[a[2]*b[2]*c[2]])/
   3486784401 - (73400320*f[a[1]*a[3]]*f[a[1]*b[2]*c[1]]*
     f[a[2]*b[2]*c[2]])/129140163 - 
  (73400320*f[a[1]^3*a[3]]*f[a[1]*b[2]*c[1]]*f[a[2]*b[2]*c[2]])/
   3486784401 + (627343360*f[a[3]^2]*f[a[1]*b[2]*c[1]]*
     f[a[2]*b[2]*c[2]])/10460353203 - 
  (4697620480*f[a[2]*a[4]]*f[a[1]*b[2]*c[1]]*f[a[2]*b[2]*c[2]])/
   10460353203 + (1835008000*f[a[1]*a[5]]*f[a[1]*b[2]*c[1]]*
     f[a[2]*b[2]*c[2]])/10460353203 + 
  (37273600*f[b[1]*c[1]]*f[a[1]*b[2]*c[1]]*f[a[2]*b[2]*c[2]])/
   129140163 - (1379123200*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*
     f[a[2]*b[2]*c[2]])/3486784401 + 
  (4286464000*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*f[a[2]*b[2]*c[2]])/
   10460353203 + (20053196800*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*
     f[a[2]*b[2]*c[2]])/31381059609 - 
  (2385510400*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*
     f[a[2]*b[2]*c[2]])/10460353203 + 
  (42434560*f[a[1]]*f[a[1]^2*b[2]*c[1]]*f[a[2]*b[2]*c[2]])/43046721 - 
  (799375360*f[a[1]^3]*f[a[1]^2*b[2]*c[1]]*f[a[2]*b[2]*c[2]])/
   387420489 + (11554816000*f[a[1]^5]*f[a[1]^2*b[2]*c[1]]*
     f[a[2]*b[2]*c[2]])/3486784401 + 
  (50286100480*f[a[1]*a[2]^2]*f[a[1]^2*b[2]*c[1]]*f[a[2]*b[2]*c[2]])/
   31381059609 + (49315840*f[a[3]]*f[a[1]^2*b[2]*c[1]]*
     f[a[2]*b[2]*c[2]])/387420489 - 
  (1721466880*f[a[1]^2*a[3]]*f[a[1]^2*b[2]*c[1]]*f[a[2]*b[2]*c[2]])/
   3486784401 - (453017600*f[a[5]]*f[a[1]^2*b[2]*c[1]]*
     f[a[2]*b[2]*c[2]])/31381059609 + 
  (1379123200*f[a[1]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*f[a[2]*b[2]*c[2]])/
   3486784401 - (25979699200*f[a[1]^3*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*
     f[a[2]*b[2]*c[2]])/31381059609 + 
  (1602764800*f[a[3]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*f[a[2]*b[2]*c[2]])/
   31381059609 - (5734400*f[1]*f[a[1]^3*b[2]*c[1]]*f[a[2]*b[2]*c[2]])/
   14348907 + (799375360*f[a[1]^2]*f[a[1]^3*b[2]*c[1]]*
     f[a[2]*b[2]*c[2]])/387420489 - 
  (61132144640*f[a[1]^4]*f[a[1]^3*b[2]*c[1]]*f[a[2]*b[2]*c[2]])/
   10460353203 + (1232121856000*f[a[1]^6]*f[a[1]^3*b[2]*c[1]]*
     f[a[2]*b[2]*c[2]])/94143178827 + 
  (139919360*f[a[2]^2]*f[a[1]^3*b[2]*c[1]]*f[a[2]*b[2]*c[2]])/
   10460353203 + (660710686720*f[a[1]^2*a[2]^2]*f[a[1]^3*b[2]*c[1]]*
     f[a[2]*b[2]*c[2]])/282429536481 + 
  (513802240*f[a[1]*a[3]]*f[a[1]^3*b[2]*c[1]]*f[a[2]*b[2]*c[2]])/
   3486784401 - (15487467520*f[a[1]^3*a[3]]*f[a[1]^3*b[2]*c[1]]*
     f[a[2]*b[2]*c[2]])/31381059609 - 
  (1375109120*f[a[3]^2]*f[a[1]^3*b[2]*c[1]]*f[a[2]*b[2]*c[2]])/
   94143178827 - (4697620480*f[a[2]*a[4]]*f[a[1]^3*b[2]*c[1]]*
     f[a[2]*b[2]*c[2]])/31381059609 + 
  (10643046400*f[a[1]*a[5]]*f[a[1]^3*b[2]*c[1]]*f[a[2]*b[2]*c[2]])/
   282429536481 - (186368000*f[b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[2]*b[2]*c[2]])/1162261467 + 
  (25979699200*f[a[1]^2*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[2]*b[2]*c[2]])/31381059609 - 
  (1986794700800*f[a[1]^4*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[2]*b[2]*c[2]])/847288609443 + 
  (4547379200*f[a[2]^2*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[2]*b[2]*c[2]])/847288609443 + 
  (16698572800*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[2]*b[2]*c[2]])/282429536481 + 
  (3276800*f[b[2]*c[1]]*f[a[2]*b[2]*c[1]]*f[a[2]*b[2]*c[2]])/1594323 + 
  (55705600*f[a[1]^2*b[2]*c[1]]*f[a[2]*b[2]*c[1]]*f[a[2]*b[2]*c[2]])/
   129140163 + (9395240960*f[a[1]^2*a[2]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[2]*b[2]*c[2]])/31381059609 - 
  (93952409600*f[a[1]^4*a[2]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[2]*b[2]*c[2]])/282429536481 - 
  (150323855360*f[a[2]^3]*f[a[1]*a[2]*b[2]*c[1]]*f[a[2]*b[2]*c[2]])/
   31381059609 + (46976204800*f[a[1]*a[2]*a[3]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[2]*b[2]*c[2]])/94143178827 - 
  (9395240960*f[a[4]]*f[a[1]*a[2]*b[2]*c[1]]*f[a[2]*b[2]*c[2]])/
   31381059609 - (65766686720*f[a[1]^2*a[4]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[2]*b[2]*c[2]])/847288609443 + 
  (18790481920*f[a[6]]*f[a[1]*a[2]*b[2]*c[1]]*f[a[2]*b[2]*c[2]])/
   94143178827 + (305345331200*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]]*f[a[2]*b[2]*c[2]])/2541865828329 - 
  (305345331200*f[a[4]*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[2]*b[2]*c[2]])/2541865828329 + 
  (104857600*f[a[1]*b[2]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[2]*b[2]*c[2]])/129140163 + 
  (1153433600*f[a[1]^3*b[2]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[2]*b[2]*c[2]])/1162261467 + 
  (5734400*f[1]*f[a[3]*b[2]*c[1]]*f[a[2]*b[2]*c[2]])/4782969 - 
  (49315840*f[a[1]^2]*f[a[3]*b[2]*c[1]]*f[a[2]*b[2]*c[2]])/387420489 + 
  (63078400*f[a[1]^4]*f[a[3]*b[2]*c[1]]*f[a[2]*b[2]*c[2]])/3486784401 + 
  (1003520000*f[a[1]^6]*f[a[3]*b[2]*c[1]]*f[a[2]*b[2]*c[2]])/
   31381059609 + (3085107200*f[a[2]^2]*f[a[3]*b[2]*c[1]]*
     f[a[2]*b[2]*c[2]])/1162261467 - 
  (45322403840*f[a[1]^2*a[2]^2]*f[a[3]*b[2]*c[1]]*f[a[2]*b[2]*c[2]])/
   94143178827 - (9321840640*f[a[1]*a[3]]*f[a[3]*b[2]*c[1]]*
     f[a[2]*b[2]*c[2]])/10460353203 + 
  (50132418560*f[a[1]^3*a[3]]*f[a[3]*b[2]*c[1]]*f[a[2]*b[2]*c[2]])/
   94143178827 - (123111833600*f[a[3]^2]*f[a[3]*b[2]*c[1]]*
     f[a[2]*b[2]*c[2]])/31381059609 + 
  (51673825280*f[a[2]*a[4]]*f[a[3]*b[2]*c[1]]*f[a[2]*b[2]*c[2]])/
   31381059609 - (10643046400*f[a[1]*a[5]]*f[a[3]*b[2]*c[1]]*
     f[a[2]*b[2]*c[2]])/94143178827 + 
  (186368000*f[b[1]*c[1]]*f[a[3]*b[2]*c[1]]*f[a[2]*b[2]*c[2]])/
   387420489 - (1602764800*f[a[1]^2*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[a[2]*b[2]*c[2]])/31381059609 + 
  (2050048000*f[a[1]^4*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*f[a[2]*b[2]*c[2]])/
   282429536481 + (100265984000*f[a[2]^2*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[a[2]*b[2]*c[2]])/94143178827 - 
  (302959820800*f[a[1]*a[3]*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[a[2]*b[2]*c[2]])/847288609443 - 
  (104857600*f[a[1]*a[2]*b[2]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[a[2]*b[2]*c[2]])/129140163 + 
  (5447680*f[a[2]]*f[b[3]*c[1]]*f[a[2]*b[2]*c[2]])/4782969 - 
  (27238400*f[a[1]^2*a[2]]*f[b[3]*c[1]]*f[a[2]*b[2]*c[2]])/129140163 + 
  (136192000*f[a[1]^4*a[2]]*f[b[3]*c[1]]*f[a[2]*b[2]*c[2]])/
   1162261467 + (141639680*f[a[2]^3]*f[b[3]*c[1]]*f[a[2]*b[2]*c[2]])/
   387420489 + (174325760*f[a[1]*a[2]*a[3]]*f[b[3]*c[1]]*
     f[a[2]*b[2]*c[2]])/1162261467 - 
  (21790720*f[a[4]]*f[b[3]*c[1]]*f[a[2]*b[2]*c[2]])/387420489 + 
  (108953600*f[a[1]^2*a[4]]*f[b[3]*c[1]]*f[a[2]*b[2]*c[2]])/
   10460353203 + (59924480*f[a[6]]*f[b[3]*c[1]]*f[a[2]*b[2]*c[2]])/
   1162261467 + (254320640*f[a[2]*b[1]*c[1]]*f[b[3]*c[1]]*
     f[a[2]*b[2]*c[2]])/387420489 - 
  (1271603200*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[3]*c[1]]*f[a[2]*b[2]*c[2]])/
   10460353203 - (1017282560*f[a[4]*b[1]*c[1]]*f[b[3]*c[1]]*
     f[a[2]*b[2]*c[2]])/31381059609 - 
  (162611200*f[a[1]*b[2]*c[1]]*f[b[3]*c[1]]*f[a[2]*b[2]*c[2]])/
   387420489 + (813056000*f[a[1]^3*b[2]*c[1]]*f[b[3]*c[1]]*
     f[a[2]*b[2]*c[2]])/3486784401 - 
  (813056000*f[a[3]*b[2]*c[1]]*f[b[3]*c[1]]*f[a[2]*b[2]*c[2]])/
   1162261467 + (174325760*f[a[1]*a[2]]*f[a[1]*b[3]*c[1]]*
     f[a[2]*b[2]*c[2]])/387420489 - 
  (871628800*f[a[1]^3*a[2]]*f[a[1]*b[3]*c[1]]*f[a[2]*b[2]*c[2]])/
   3486784401 - (174325760*f[a[2]*a[3]]*f[a[1]*b[3]*c[1]]*
     f[a[2]*b[2]*c[2]])/387420489 + 
  (697303040*f[a[1]*a[4]]*f[a[1]*b[3]*c[1]]*f[a[2]*b[2]*c[2]])/
   10460353203 + (8138260480*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]*b[3]*c[1]]*
     f[a[2]*b[2]*c[2]])/31381059609 + 
  (162611200*f[b[2]*c[1]]*f[a[1]*b[3]*c[1]]*f[a[2]*b[2]*c[2]])/
   387420489 - (6016614400*f[a[1]^2*b[2]*c[1]]*f[a[1]*b[3]*c[1]]*
     f[a[2]*b[2]*c[2]])/10460353203 + 
  (92610560*f[a[2]]*f[a[1]^2*b[3]*c[1]]*f[a[2]*b[2]*c[2]])/387420489 + 
  (2326159360*f[a[1]^2*a[2]]*f[a[1]^2*b[3]*c[1]]*f[a[2]*b[2]*c[2]])/
   10460353203 - (8525619200*f[a[1]^4*a[2]]*f[a[1]^2*b[3]*c[1]]*
     f[a[2]*b[2]*c[2]])/31381059609 + 
  (15678423040*f[a[2]^3]*f[a[1]^2*b[3]*c[1]]*f[a[2]*b[2]*c[2]])/
   10460353203 - (14817689600*f[a[1]*a[2]*a[3]]*f[a[1]^2*b[3]*c[1]]*
     f[a[2]*b[2]*c[2]])/31381059609 - 
  (1982955520*f[a[4]]*f[a[1]^2*b[3]*c[1]]*f[a[2]*b[2]*c[2]])/
   10460353203 + (7299891200*f[a[1]^2*a[4]]*f[a[1]^2*b[3]*c[1]]*
     f[a[2]*b[2]*c[2]])/31381059609 + 
  (4058521600*f[a[6]]*f[a[1]^2*b[3]*c[1]]*f[a[2]*b[2]*c[2]])/
   31381059609 + (4323450880*f[a[2]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[a[2]*b[2]*c[2]])/31381059609 + 
  (108594913280*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[a[2]*b[2]*c[2]])/847288609443 - 
  (92572712960*f[a[4]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[a[2]*b[2]*c[2]])/847288609443 + 
  (6016614400*f[a[1]*b[2]*c[1]]*f[a[1]^2*b[3]*c[1]]*f[a[2]*b[2]*c[2]])/
   10460353203 - (113340006400*f[a[1]^3*b[2]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[a[2]*b[2]*c[2]])/94143178827 + 
  (6992281600*f[a[3]*b[2]*c[1]]*f[a[1]^2*b[3]*c[1]]*f[a[2]*b[2]*c[2]])/
   94143178827 + (5447680*f[1]*f[a[2]*b[3]*c[1]]*f[a[2]*b[2]*c[2]])/
   4782969 + (92610560*f[a[1]^2]*f[a[2]*b[3]*c[1]]*f[a[2]*b[2]*c[2]])/
   387420489 - (1334681600*f[a[1]^4]*f[a[2]*b[3]*c[1]]*
     f[a[2]*b[2]*c[2]])/3486784401 + 
  (680960000*f[a[1]^6]*f[a[2]*b[3]*c[1]]*f[a[2]*b[2]*c[2]])/
   1162261467 - (10895360*f[a[2]^2]*f[a[2]*b[3]*c[1]]*
     f[a[2]*b[2]*c[2]])/4782969 + 
  (44246056960*f[a[1]^2*a[2]^2]*f[a[2]*b[3]*c[1]]*f[a[2]*b[2]*c[2]])/
   94143178827 + (348651520*f[a[1]*a[3]]*f[a[2]*b[3]*c[1]]*
     f[a[2]*b[2]*c[2]])/387420489 - 
  (10110894080*f[a[1]^3*a[3]]*f[a[2]*b[3]*c[1]]*f[a[2]*b[2]*c[2]])/
   31381059609 + (34358517760*f[a[3]^2]*f[a[2]*b[3]*c[1]]*
     f[a[2]*b[2]*c[2]])/31381059609 - 
  (40094924800*f[a[1]*a[5]]*f[a[2]*b[3]*c[1]]*f[a[2]*b[2]*c[2]])/
   94143178827 + (254320640*f[b[1]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[a[2]*b[2]*c[2]])/387420489 + 
  (4323450880*f[a[1]^2*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*f[a[2]*b[2]*c[2]])/
   31381059609 - (62308556800*f[a[1]^4*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[a[2]*b[2]*c[2]])/282429536481 - 
  (508641280*f[a[2]^2*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*f[a[2]*b[2]*c[2]])/
   387420489 + (16276520960*f[a[1]*a[3]*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[a[2]*b[2]*c[2]])/31381059609 - 
  (451379200*f[b[3]*c[1]]*f[a[2]*b[3]*c[1]]*f[a[2]*b[2]*c[2]])/
   1162261467 - (7673446400*f[a[1]^2*b[3]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[a[2]*b[2]*c[2]])/94143178827 - 
  (8192000*f[a[1]]*f[b[4]*c[1]]*f[a[2]*b[2]*c[2]])/129140163 + 
  (40960000*f[a[1]^3]*f[b[4]*c[1]]*f[a[2]*b[2]*c[2]])/1162261467 - 
  (1024000000*f[a[1]^5]*f[b[4]*c[1]]*f[a[2]*b[2]*c[2]])/31381059609 - 
  (212992000*f[a[1]*a[2]^2]*f[b[4]*c[1]]*f[a[2]*b[2]*c[2]])/
   31381059609 - (40960000*f[a[3]]*f[b[4]*c[1]]*f[a[2]*b[2]*c[2]])/
   387420489 + (90112000*f[a[1]^2*a[3]]*f[b[4]*c[1]]*
     f[a[2]*b[2]*c[2]])/31381059609 + 
  (450560000*f[a[5]]*f[b[4]*c[1]]*f[a[2]*b[2]*c[2]])/10460353203 - 
  (593985536*f[a[1]*b[1]*c[1]]*f[b[4]*c[1]]*f[a[2]*b[2]*c[2]])/
   3486784401 + (2969927680*f[a[1]^3*b[1]*c[1]]*f[b[4]*c[1]]*
     f[a[2]*b[2]*c[2]])/31381059609 - 
  (2969927680*f[a[3]*b[1]*c[1]]*f[b[4]*c[1]]*f[a[2]*b[2]*c[2]])/
   10460353203 - (17467965440*f[a[2]*b[2]*c[1]]*f[b[4]*c[1]]*
     f[a[2]*b[2]*c[2]])/31381059609 - 
  (5135564800*f[a[1]*b[3]*c[1]]*f[b[4]*c[1]]*f[a[2]*b[2]*c[2]])/
   31381059609 + (8192000*f[1]*f[a[1]*b[4]*c[1]]*f[a[2]*b[2]*c[2]])/
   129140163 - (303104000*f[a[1]^2]*f[a[1]*b[4]*c[1]]*
     f[a[2]*b[2]*c[2]])/3486784401 + 
  (942080000*f[a[1]^4]*f[a[1]*b[4]*c[1]]*f[a[2]*b[2]*c[2]])/
   10460353203 - (103424000000*f[a[1]^6]*f[a[1]*b[4]*c[1]]*
     f[a[2]*b[2]*c[2]])/847288609443 + 
  (4407296000*f[a[2]^2]*f[a[1]*b[4]*c[1]]*f[a[2]*b[2]*c[2]])/
   31381059609 - (9617408000*f[a[1]^2*a[2]^2]*f[a[1]*b[4]*c[1]]*
     f[a[2]*b[2]*c[2]])/282429536481 - 
  (524288000*f[a[1]*a[3]]*f[a[1]*b[4]*c[1]]*f[a[2]*b[2]*c[2]])/
   10460353203 - (524288000*f[a[1]^3*a[3]]*f[a[1]*b[4]*c[1]]*
     f[a[2]*b[2]*c[2]])/282429536481 + 
  (4481024000*f[a[3]^2]*f[a[1]*b[4]*c[1]]*f[a[2]*b[2]*c[2]])/
   847288609443 - (33554432000*f[a[2]*a[4]]*f[a[1]*b[4]*c[1]]*
     f[a[2]*b[2]*c[2]])/847288609443 + 
  (13107200000*f[a[1]*a[5]]*f[a[1]*b[4]*c[1]]*f[a[2]*b[2]*c[2]])/
   847288609443 + (593985536*f[b[1]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[a[2]*b[2]*c[2]])/3486784401 - 
  (21977464832*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[a[2]*b[2]*c[2]])/94143178827 + 
  (68308336640*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[a[2]*b[2]*c[2]])/282429536481 + 
  (319564218368*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[a[2]*b[2]*c[2]])/847288609443 - 
  (38015074304*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[a[2]*b[2]*c[2]])/282429536481 - 
  (558974894080*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[a[2]*b[2]*c[2]])/2541865828329 + 
  (5135564800*f[b[3]*c[1]]*f[a[1]*b[4]*c[1]]*f[a[2]*b[2]*c[2]])/
   31381059609 - (190015897600*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[a[2]*b[2]*c[2]])/847288609443 - 
  (156098560*f[a[2]]*f[b[5]*c[1]]*f[a[2]*b[2]*c[2]])/387420489 + 
  (780492800*f[a[1]^2*a[2]]*f[b[5]*c[1]]*f[a[2]*b[2]*c[2]])/
   10460353203 - (3902464000*f[a[1]^4*a[2]]*f[b[5]*c[1]]*
     f[a[2]*b[2]*c[2]])/94143178827 - 
  (4058562560*f[a[2]^3]*f[b[5]*c[1]]*f[a[2]*b[2]*c[2]])/31381059609 - 
  (4995153920*f[a[1]*a[2]*a[3]]*f[b[5]*c[1]]*f[a[2]*b[2]*c[2]])/
   94143178827 + (624394240*f[a[4]]*f[b[5]*c[1]]*f[a[2]*b[2]*c[2]])/
   31381059609 - (3121971200*f[a[1]^2*a[4]]*f[b[5]*c[1]]*
     f[a[2]*b[2]*c[2]])/847288609443 - 
  (1717084160*f[a[6]]*f[b[5]*c[1]]*f[a[2]*b[2]*c[2]])/94143178827 - 
  (4907622400*f[a[2]*b[1]*c[1]]*f[b[5]*c[1]]*f[a[2]*b[2]*c[2]])/
   31381059609 + (24538112000*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[5]*c[1]]*
     f[a[2]*b[2]*c[2]])/847288609443 + 
  (19630489600*f[a[4]*b[1]*c[1]]*f[b[5]*c[1]]*f[a[2]*b[2]*c[2]])/
   2541865828329 + (2310553600*f[a[1]*b[2]*c[1]]*f[b[5]*c[1]]*
     f[a[2]*b[2]*c[2]])/10460353203 - 
  (11552768000*f[a[1]^3*b[2]*c[1]]*f[b[5]*c[1]]*f[a[2]*b[2]*c[2]])/
   94143178827 + (11552768000*f[a[3]*b[2]*c[1]]*f[b[5]*c[1]]*
     f[a[2]*b[2]*c[2]])/31381059609 + 
  (22820454400*f[a[2]*b[3]*c[1]]*f[b[5]*c[1]]*f[a[2]*b[2]*c[2]])/
   94143178827 - (148702330880*f[a[1]*b[4]*c[1]]*f[b[5]*c[1]]*
     f[a[2]*b[2]*c[2]])/2541865828329 + 
  (573440*f[a[1]]*f[b[1]*c[2]]*f[a[2]*b[2]*c[2]])/1594323 - 
  (2867200*f[a[1]^3]*f[b[1]*c[2]]*f[a[2]*b[2]*c[2]])/14348907 + 
  (71680000*f[a[1]^5]*f[b[1]*c[2]]*f[a[2]*b[2]*c[2]])/387420489 + 
  (14909440*f[a[1]*a[2]^2]*f[b[1]*c[2]]*f[a[2]*b[2]*c[2]])/387420489 + 
  (2867200*f[a[3]]*f[b[1]*c[2]]*f[a[2]*b[2]*c[2]])/4782969 - 
  (6307840*f[a[1]^2*a[3]]*f[b[1]*c[2]]*f[a[2]*b[2]*c[2]])/387420489 - 
  (31539200*f[a[5]]*f[b[1]*c[2]]*f[a[2]*b[2]*c[2]])/129140163 + 
  (18636800*f[a[1]*b[1]*c[1]]*f[b[1]*c[2]]*f[a[2]*b[2]*c[2]])/
   129140163 - (93184000*f[a[1]^3*b[1]*c[1]]*f[b[1]*c[2]]*
     f[a[2]*b[2]*c[2]])/1162261467 + 
  (93184000*f[a[3]*b[1]*c[1]]*f[b[1]*c[2]]*f[a[2]*b[2]*c[2]])/
   387420489 + (311492608*f[a[2]*b[2]*c[1]]*f[b[1]*c[2]]*
     f[a[2]*b[2]*c[2]])/387420489 - 
  (5218304*f[a[1]*b[3]*c[1]]*f[b[1]*c[2]]*f[a[2]*b[2]*c[2]])/43046721 - 
  (573440*f[1]*f[a[1]*b[1]*c[2]]*f[a[2]*b[2]*c[2]])/1594323 + 
  (21217280*f[a[1]^2]*f[a[1]*b[1]*c[2]]*f[a[2]*b[2]*c[2]])/43046721 - 
  (65945600*f[a[1]^4]*f[a[1]*b[1]*c[2]]*f[a[2]*b[2]*c[2]])/129140163 + 
  (7239680000*f[a[1]^6]*f[a[1]*b[1]*c[2]]*f[a[2]*b[2]*c[2]])/
   10460353203 - (308510720*f[a[2]^2]*f[a[1]*b[1]*c[2]]*
     f[a[2]*b[2]*c[2]])/387420489 + 
  (673218560*f[a[1]^2*a[2]^2]*f[a[1]*b[1]*c[2]]*f[a[2]*b[2]*c[2]])/
   3486784401 + (36700160*f[a[1]*a[3]]*f[a[1]*b[1]*c[2]]*
     f[a[2]*b[2]*c[2]])/129140163 + 
  (36700160*f[a[1]^3*a[3]]*f[a[1]*b[1]*c[2]]*f[a[2]*b[2]*c[2]])/
   3486784401 - (313671680*f[a[3]^2]*f[a[1]*b[1]*c[2]]*
     f[a[2]*b[2]*c[2]])/10460353203 + 
  (2348810240*f[a[2]*a[4]]*f[a[1]*b[1]*c[2]]*f[a[2]*b[2]*c[2]])/
   10460353203 - (917504000*f[a[1]*a[5]]*f[a[1]*b[1]*c[2]]*
     f[a[2]*b[2]*c[2]])/10460353203 - 
  (18636800*f[b[1]*c[1]]*f[a[1]*b[1]*c[2]]*f[a[2]*b[2]*c[2]])/
   129140163 + (689561600*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[a[2]*b[2]*c[2]])/3486784401 - 
  (2143232000*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[1]*c[2]]*f[a[2]*b[2]*c[2]])/
   10460353203 - (10026598400*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[a[2]*b[2]*c[2]])/31381059609 + 
  (1192755200*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[a[2]*b[2]*c[2]])/10460353203 + 
  (9967763456*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[a[2]*b[2]*c[2]])/31381059609 + 
  (5218304*f[b[3]*c[1]]*f[a[1]*b[1]*c[2]]*f[a[2]*b[2]*c[2]])/43046721 - 
  (193077248*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[1]*c[2]]*f[a[2]*b[2]*c[2]])/
   1162261467 - (3294126080*f[b[5]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[a[2]*b[2]*c[2]])/31381059609 - 
  (21217280*f[a[1]]*f[a[1]^2*b[1]*c[2]]*f[a[2]*b[2]*c[2]])/43046721 + 
  (399687680*f[a[1]^3]*f[a[1]^2*b[1]*c[2]]*f[a[2]*b[2]*c[2]])/
   387420489 - (5777408000*f[a[1]^5]*f[a[1]^2*b[1]*c[2]]*
     f[a[2]*b[2]*c[2]])/3486784401 - 
  (25143050240*f[a[1]*a[2]^2]*f[a[1]^2*b[1]*c[2]]*f[a[2]*b[2]*c[2]])/
   31381059609 - (24657920*f[a[3]]*f[a[1]^2*b[1]*c[2]]*
     f[a[2]*b[2]*c[2]])/387420489 + 
  (860733440*f[a[1]^2*a[3]]*f[a[1]^2*b[1]*c[2]]*f[a[2]*b[2]*c[2]])/
   3486784401 + (226508800*f[a[5]]*f[a[1]^2*b[1]*c[2]]*
     f[a[2]*b[2]*c[2]])/31381059609 - 
  (689561600*f[a[1]*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]]*f[a[2]*b[2]*c[2]])/
   3486784401 + (12989849600*f[a[1]^3*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]]*
     f[a[2]*b[2]*c[2]])/31381059609 - 
  (801382400*f[a[3]*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]]*f[a[2]*b[2]*c[2]])/
   31381059609 + (5295374336*f[a[2]*b[2]*c[1]]*f[a[1]^2*b[1]*c[2]]*
     f[a[2]*b[2]*c[2]])/31381059609 + 
  (193077248*f[a[1]*b[3]*c[1]]*f[a[1]^2*b[1]*c[2]]*f[a[2]*b[2]*c[2]])/
   1162261467 + (2867200*f[1]*f[a[1]^3*b[1]*c[2]]*f[a[2]*b[2]*c[2]])/
   14348907 - (399687680*f[a[1]^2]*f[a[1]^3*b[1]*c[2]]*
     f[a[2]*b[2]*c[2]])/387420489 + 
  (30566072320*f[a[1]^4]*f[a[1]^3*b[1]*c[2]]*f[a[2]*b[2]*c[2]])/
   10460353203 - (616060928000*f[a[1]^6]*f[a[1]^3*b[1]*c[2]]*
     f[a[2]*b[2]*c[2]])/94143178827 - 
  (69959680*f[a[2]^2]*f[a[1]^3*b[1]*c[2]]*f[a[2]*b[2]*c[2]])/
   10460353203 - (330355343360*f[a[1]^2*a[2]^2]*f[a[1]^3*b[1]*c[2]]*
     f[a[2]*b[2]*c[2]])/282429536481 - 
  (256901120*f[a[1]*a[3]]*f[a[1]^3*b[1]*c[2]]*f[a[2]*b[2]*c[2]])/
   3486784401 + (7743733760*f[a[1]^3*a[3]]*f[a[1]^3*b[1]*c[2]]*
     f[a[2]*b[2]*c[2]])/31381059609 + 
  (687554560*f[a[3]^2]*f[a[1]^3*b[1]*c[2]]*f[a[2]*b[2]*c[2]])/
   94143178827 + (2348810240*f[a[2]*a[4]]*f[a[1]^3*b[1]*c[2]]*
     f[a[2]*b[2]*c[2]])/31381059609 - 
  (5321523200*f[a[1]*a[5]]*f[a[1]^3*b[1]*c[2]]*f[a[2]*b[2]*c[2]])/
   282429536481 + (93184000*f[b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[a[2]*b[2]*c[2]])/1162261467 - 
  (12989849600*f[a[1]^2*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[a[2]*b[2]*c[2]])/31381059609 + 
  (993397350400*f[a[1]^4*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[a[2]*b[2]*c[2]])/847288609443 - 
  (2273689600*f[a[2]^2*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[a[2]*b[2]*c[2]])/847288609443 - 
  (8349286400*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[a[2]*b[2]*c[2]])/282429536481 + 
  (109645398016*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[a[2]*b[2]*c[2]])/282429536481 - 
  (26091520*f[b[3]*c[1]]*f[a[1]^3*b[1]*c[2]]*f[a[2]*b[2]*c[2]])/
   387420489 + (3637157888*f[a[1]^2*b[3]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[a[2]*b[2]*c[2]])/10460353203 + 
  (16470630400*f[b[5]*c[1]]*f[a[1]^3*b[1]*c[2]]*f[a[2]*b[2]*c[2]])/
   282429536481 + (311492608*f[b[2]*c[1]]*f[a[2]*b[1]*c[2]]*
     f[a[2]*b[2]*c[2]])/387420489 + 
  (5295374336*f[a[1]^2*b[2]*c[1]]*f[a[2]*b[1]*c[2]]*f[a[2]*b[2]*c[2]])/
   31381059609 + (2224947200*f[b[4]*c[1]]*f[a[2]*b[1]*c[2]]*
     f[a[2]*b[2]*c[2]])/31381059609 + 
  (819200*f[b[1]*c[2]]*f[a[2]*b[1]*c[2]]*f[a[2]*b[2]*c[2]])/1594323 + 
  (13926400*f[a[1]^2*b[1]*c[2]]*f[a[2]*b[1]*c[2]]*f[a[2]*b[2]*c[2]])/
   129140163 - (4697620480*f[a[1]^2*a[2]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[2]*b[2]*c[2]])/31381059609 + 
  (46976204800*f[a[1]^4*a[2]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[2]*b[2]*c[2]])/282429536481 + 
  (75161927680*f[a[2]^3]*f[a[1]*a[2]*b[1]*c[2]]*f[a[2]*b[2]*c[2]])/
   31381059609 - (23488102400*f[a[1]*a[2]*a[3]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[2]*b[2]*c[2]])/94143178827 + 
  (4697620480*f[a[4]]*f[a[1]*a[2]*b[1]*c[2]]*f[a[2]*b[2]*c[2]])/
   31381059609 + (32883343360*f[a[1]^2*a[4]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[2]*b[2]*c[2]])/847288609443 - 
  (9395240960*f[a[6]]*f[a[1]*a[2]*b[1]*c[2]]*f[a[2]*b[2]*c[2]])/
   94143178827 - (152672665600*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]]*f[a[2]*b[2]*c[2]])/2541865828329 + 
  (152672665600*f[a[4]*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[2]*b[2]*c[2]])/2541865828329 + 
  (9967763456*f[a[1]*b[2]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[2]*b[2]*c[2]])/31381059609 + 
  (109645398016*f[a[1]^3*b[2]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[2]*b[2]*c[2]])/282429536481 - 
  (9967763456*f[a[3]*b[2]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[2]*b[2]*c[2]])/31381059609 + 
  (71198310400*f[a[1]*b[4]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[2]*b[2]*c[2]])/2541865828329 + 
  (26214400*f[a[1]*b[1]*c[2]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[2]*b[2]*c[2]])/129140163 + 
  (288358400*f[a[1]^3*b[1]*c[2]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[2]*b[2]*c[2]])/1162261467 - 
  (2867200*f[1]*f[a[3]*b[1]*c[2]]*f[a[2]*b[2]*c[2]])/4782969 + 
  (24657920*f[a[1]^2]*f[a[3]*b[1]*c[2]]*f[a[2]*b[2]*c[2]])/387420489 - 
  (31539200*f[a[1]^4]*f[a[3]*b[1]*c[2]]*f[a[2]*b[2]*c[2]])/3486784401 - 
  (501760000*f[a[1]^6]*f[a[3]*b[1]*c[2]]*f[a[2]*b[2]*c[2]])/
   31381059609 - (1542553600*f[a[2]^2]*f[a[3]*b[1]*c[2]]*
     f[a[2]*b[2]*c[2]])/1162261467 + 
  (22661201920*f[a[1]^2*a[2]^2]*f[a[3]*b[1]*c[2]]*f[a[2]*b[2]*c[2]])/
   94143178827 + (4660920320*f[a[1]*a[3]]*f[a[3]*b[1]*c[2]]*
     f[a[2]*b[2]*c[2]])/10460353203 - 
  (25066209280*f[a[1]^3*a[3]]*f[a[3]*b[1]*c[2]]*f[a[2]*b[2]*c[2]])/
   94143178827 + (61555916800*f[a[3]^2]*f[a[3]*b[1]*c[2]]*
     f[a[2]*b[2]*c[2]])/31381059609 - 
  (25836912640*f[a[2]*a[4]]*f[a[3]*b[1]*c[2]]*f[a[2]*b[2]*c[2]])/
   31381059609 + (5321523200*f[a[1]*a[5]]*f[a[3]*b[1]*c[2]]*
     f[a[2]*b[2]*c[2]])/94143178827 - 
  (93184000*f[b[1]*c[1]]*f[a[3]*b[1]*c[2]]*f[a[2]*b[2]*c[2]])/
   387420489 + (801382400*f[a[1]^2*b[1]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[a[2]*b[2]*c[2]])/31381059609 - 
  (1025024000*f[a[1]^4*b[1]*c[1]]*f[a[3]*b[1]*c[2]]*f[a[2]*b[2]*c[2]])/
   282429536481 - (50132992000*f[a[2]^2*b[1]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[a[2]*b[2]*c[2]])/94143178827 + 
  (151479910400*f[a[1]*a[3]*b[1]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[a[2]*b[2]*c[2]])/847288609443 - 
  (9967763456*f[a[1]*a[2]*b[2]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[a[2]*b[2]*c[2]])/31381059609 + 
  (26091520*f[b[3]*c[1]]*f[a[3]*b[1]*c[2]]*f[a[2]*b[2]*c[2]])/
   129140163 - (224387072*f[a[1]^2*b[3]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[a[2]*b[2]*c[2]])/10460353203 - 
  (16470630400*f[b[5]*c[1]]*f[a[3]*b[1]*c[2]]*f[a[2]*b[2]*c[2]])/
   94143178827 - (26214400*f[a[1]*a[2]*b[1]*c[2]]*f[a[3]*b[1]*c[2]]*
     f[a[2]*b[2]*c[2]])/129140163 + 
  (2079232*f[a[2]]*f[b[2]*c[2]]*f[a[2]*b[2]*c[2]])/1594323 - 
  (10396160*f[a[1]^2*a[2]]*f[b[2]*c[2]]*f[a[2]*b[2]*c[2]])/43046721 + 
  (51980800*f[a[1]^4*a[2]]*f[b[2]*c[2]]*f[a[2]*b[2]*c[2]])/387420489 + 
  (54060032*f[a[2]^3]*f[b[2]*c[2]]*f[a[2]*b[2]*c[2]])/129140163 + 
  (66535424*f[a[1]*a[2]*a[3]]*f[b[2]*c[2]]*f[a[2]*b[2]*c[2]])/
   387420489 - (8316928*f[a[4]]*f[b[2]*c[2]]*f[a[2]*b[2]*c[2]])/
   129140163 + (41584640*f[a[1]^2*a[4]]*f[b[2]*c[2]]*
     f[a[2]*b[2]*c[2]])/3486784401 + 
  (22871552*f[a[6]]*f[b[2]*c[2]]*f[a[2]*b[2]*c[2]])/387420489 - 
  (223416832*f[a[2]*b[1]*c[1]]*f[b[2]*c[2]]*f[a[2]*b[2]*c[2]])/
   387420489 + (1117084160*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[2]*c[2]]*
     f[a[2]*b[2]*c[2]])/10460353203 + 
  (893667328*f[a[4]*b[1]*c[1]]*f[b[2]*c[2]]*f[a[2]*b[2]*c[2]])/
   31381059609 - (2130206720*f[a[2]*b[3]*c[1]]*f[b[2]*c[2]]*
     f[a[2]*b[2]*c[2]])/1162261467 + 
  (66535424*f[a[1]*a[2]]*f[a[1]*b[2]*c[2]]*f[a[2]*b[2]*c[2]])/
   129140163 - (332677120*f[a[1]^3*a[2]]*f[a[1]*b[2]*c[2]]*
     f[a[2]*b[2]*c[2]])/1162261467 - 
  (66535424*f[a[2]*a[3]]*f[a[1]*b[2]*c[2]]*f[a[2]*b[2]*c[2]])/
   129140163 + (266141696*f[a[1]*a[4]]*f[a[1]*b[2]*c[2]]*
     f[a[2]*b[2]*c[2]])/3486784401 - 
  (7149338624*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[2]]*
     f[a[2]*b[2]*c[2]])/31381059609 + 
  (35346944*f[a[2]]*f[a[1]^2*b[2]*c[2]]*f[a[2]*b[2]*c[2]])/129140163 + 
  (887832064*f[a[1]^2*a[2]]*f[a[1]^2*b[2]*c[2]]*f[a[2]*b[2]*c[2]])/
   3486784401 - (3253998080*f[a[1]^4*a[2]]*f[a[1]^2*b[2]*c[2]]*
     f[a[2]*b[2]*c[2]])/10460353203 + 
  (5984029696*f[a[2]^3]*f[a[1]^2*b[2]*c[2]]*f[a[2]*b[2]*c[2]])/
   3486784401 - (5655511040*f[a[1]*a[2]*a[3]]*f[a[1]^2*b[2]*c[2]]*
     f[a[2]*b[2]*c[2]])/10460353203 - 
  (756840448*f[a[4]]*f[a[1]^2*b[2]*c[2]]*f[a[2]*b[2]*c[2]])/
   3486784401 + (2786170880*f[a[1]^2*a[4]]*f[a[1]^2*b[2]*c[2]]*
     f[a[2]*b[2]*c[2]])/10460353203 + 
  (1549027840*f[a[6]]*f[a[1]^2*b[2]*c[2]]*f[a[2]*b[2]*c[2]])/
   10460353203 - (3798086144*f[a[2]*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]]*
     f[a[2]*b[2]*c[2]])/31381059609 - 
  (95398987264*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]]*
     f[a[2]*b[2]*c[2]])/847288609443 + 
  (81323726848*f[a[4]*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]]*
     f[a[2]*b[2]*c[2]])/847288609443 - 
  (36213514240*f[a[2]*b[3]*c[1]]*f[a[1]^2*b[2]*c[2]]*
     f[a[2]*b[2]*c[2]])/94143178827 + 
  (1039616*f[1]*f[a[2]*b[2]*c[2]]^2)/1594323 + 
  (17673472*f[a[1]^2]*f[a[2]*b[2]*c[2]]^2)/129140163 - 
  (254705920*f[a[1]^4]*f[a[2]*b[2]*c[2]]^2)/1162261467 + 
  (129952000*f[a[1]^6]*f[a[2]*b[2]*c[2]]^2)/387420489 - 
  (2079232*f[a[2]^2]*f[a[2]*b[2]*c[2]]^2)/1594323 + 
  (8443761152*f[a[1]^2*a[2]^2]*f[a[2]*b[2]*c[2]]^2)/31381059609 + 
  (66535424*f[a[1]*a[3]]*f[a[2]*b[2]*c[2]]^2)/129140163 - 
  (1929527296*f[a[1]^3*a[3]]*f[a[2]*b[2]*c[2]]^2)/10460353203 + 
  (6556858112*f[a[3]^2]*f[a[2]*b[2]*c[2]]^2)/10460353203 - 
  (7651573760*f[a[1]*a[5]]*f[a[2]*b[2]*c[2]]^2)/31381059609 - 
  (111708416*f[b[1]*c[1]]*f[a[2]*b[2]*c[2]]^2)/387420489 - 
  (1899043072*f[a[1]^2*b[1]*c[1]]*f[a[2]*b[2]*c[2]]^2)/31381059609 + 
  (27368561920*f[a[1]^4*b[1]*c[1]]*f[a[2]*b[2]*c[2]]^2)/282429536481 + 
  (223416832*f[a[2]^2*b[1]*c[1]]*f[a[2]*b[2]*c[2]]^2)/387420489 - 
  (7149338624*f[a[1]*a[3]*b[1]*c[1]]*f[a[2]*b[2]*c[2]]^2)/31381059609 - 
  (1065103360*f[b[3]*c[1]]*f[a[2]*b[2]*c[2]]^2)/1162261467 - 
  (18106757120*f[a[1]^2*b[3]*c[1]]*f[a[2]*b[2]*c[2]]^2)/94143178827 + 
  (15134126080*f[b[5]*c[1]]*f[a[2]*b[2]*c[2]]^2)/31381059609 + 
  (246016*f[b[2]*c[2]]*f[a[2]*b[2]*c[2]]^2)/531441 + 
  (4182272*f[a[1]^2*b[2]*c[2]]*f[a[2]*b[2]*c[2]]^2)/43046721 + 
  (204800*f[a[2]]*f[a[1]*b[1]*c[1]]*f[b[3]*c[2]])/1594323 - 
  (1024000*f[a[1]^2*a[2]]*f[a[1]*b[1]*c[1]]*f[b[3]*c[2]])/43046721 + 
  (5120000*f[a[1]^4*a[2]]*f[a[1]*b[1]*c[1]]*f[b[3]*c[2]])/387420489 + 
  (5324800*f[a[2]^3]*f[a[1]*b[1]*c[1]]*f[b[3]*c[2]])/129140163 + 
  (6553600*f[a[1]*a[2]*a[3]]*f[a[1]*b[1]*c[1]]*f[b[3]*c[2]])/
   387420489 - (819200*f[a[4]]*f[a[1]*b[1]*c[1]]*f[b[3]*c[2]])/
   14348907 + (4096000*f[a[1]^2*a[4]]*f[a[1]*b[1]*c[1]]*f[b[3]*c[2]])/
   387420489 + (5120000*f[a[6]]*f[a[1]*b[1]*c[1]]*f[b[3]*c[2]])/
   129140163 + (6553600*f[a[1]*a[2]]*f[a[1]^2*b[1]*c[1]]*f[b[3]*c[2]])/
   43046721 - (32768000*f[a[1]^3*a[2]]*f[a[1]^2*b[1]*c[1]]*
     f[b[3]*c[2]])/387420489 - 
  (6553600*f[a[2]*a[3]]*f[a[1]^2*b[1]*c[1]]*f[b[3]*c[2]])/387420489 - 
  (26214400*f[a[1]*a[4]]*f[a[1]^2*b[1]*c[1]]*f[b[3]*c[2]])/387420489 - 
  (1024000*f[a[2]]*f[a[1]^3*b[1]*c[1]]*f[b[3]*c[2]])/14348907 + 
  (36659200*f[a[1]^2*a[2]]*f[a[1]^3*b[1]*c[1]]*f[b[3]*c[2]])/
   129140163 - (1074176000*f[a[1]^4*a[2]]*f[a[1]^3*b[1]*c[1]]*
     f[b[3]*c[2]])/3486784401 + 
  (1438105600*f[a[2]^3]*f[a[1]^3*b[1]*c[1]]*f[b[3]*c[2]])/10460353203 - 
  (45875200*f[a[1]*a[2]*a[3]]*f[a[1]^3*b[1]*c[1]]*f[b[3]*c[2]])/
   1162261467 + (4096000*f[a[4]]*f[a[1]^3*b[1]*c[1]]*f[b[3]*c[2]])/
   129140163 - (146636800*f[a[1]^2*a[4]]*f[a[1]^3*b[1]*c[1]]*
     f[b[3]*c[2]])/1162261467 - 
  (25600000*f[a[6]]*f[a[1]^3*b[1]*c[1]]*f[b[3]*c[2]])/1162261467 - 
  (65536000*f[a[1]*a[2]]*f[a[1]^4*b[1]*c[1]]*f[b[3]*c[2]])/387420489 + 
  (7693926400*f[a[1]^3*a[2]]*f[a[1]^4*b[1]*c[1]]*f[b[3]*c[2]])/
   10460353203 + (65536000*f[a[2]*a[3]]*f[a[1]^4*b[1]*c[1]]*
     f[b[3]*c[2]])/3486784401 + 
  (262144000*f[a[1]*a[4]]*f[a[1]^4*b[1]*c[1]]*f[b[3]*c[2]])/
   3486784401 - (204800*f[a[1]]*f[a[2]*b[1]*c[1]]*f[b[3]*c[2]])/
   1594323 + (1024000*f[a[1]^3]*f[a[2]*b[1]*c[1]]*f[b[3]*c[2]])/
   14348907 - (25600000*f[a[1]^5]*f[a[2]*b[1]*c[1]]*f[b[3]*c[2]])/
   387420489 - (5324800*f[a[1]*a[2]^2]*f[a[2]*b[1]*c[1]]*f[b[3]*c[2]])/
   387420489 - (1024000*f[a[3]]*f[a[2]*b[1]*c[1]]*f[b[3]*c[2]])/
   4782969 + (2252800*f[a[1]^2*a[3]]*f[a[2]*b[1]*c[1]]*f[b[3]*c[2]])/
   387420489 + (11264000*f[a[5]]*f[a[2]*b[1]*c[1]]*f[b[3]*c[2]])/
   129140163 - (6553600*f[a[1]^2]*f[a[1]*a[2]*b[1]*c[1]]*f[b[3]*c[2]])/
   43046721 + (65536000*f[a[1]^4]*f[a[1]*a[2]*b[1]*c[1]]*f[b[3]*c[2]])/
   387420489 - (819200000*f[a[1]^6]*f[a[1]*a[2]*b[1]*c[1]]*
     f[b[3]*c[2]])/3486784401 - 
  (104857600*f[a[2]^2]*f[a[1]*a[2]*b[1]*c[1]]*f[b[3]*c[2]])/387420489 + 
  (13107200*f[a[1]^2*a[2]^2]*f[a[1]*a[2]*b[1]*c[1]]*f[b[3]*c[2]])/
   387420489 - (45875200*f[a[1]*a[3]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[b[3]*c[2]])/387420489 + 
  (6553600*f[a[1]^3*a[3]]*f[a[1]*a[2]*b[1]*c[1]]*f[b[3]*c[2]])/
   1162261467 + (32768000*f[a[3]^2]*f[a[1]*a[2]*b[1]*c[1]]*
     f[b[3]*c[2]])/1162261467 + 
  (2097152000*f[a[2]*a[4]]*f[a[1]*a[2]*b[1]*c[1]]*f[b[3]*c[2]])/
   31381059609 + (1409024000*f[a[1]*a[5]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[b[3]*c[2]])/31381059609 + 
  (1024000*f[a[1]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[3]*c[2]])/43046721 - 
  (36659200*f[a[1]^3]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[3]*c[2]])/
   129140163 + (5370880000*f[a[1]^5]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[b[3]*c[2]])/10460353203 - 
  (11664179200*f[a[1]*a[2]^2]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[3]*c[2]])/
   31381059609 + (5120000*f[a[3]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[b[3]*c[2]])/129140163 - 
  (458137600*f[a[1]^2*a[3]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[3]*c[2]])/
   3486784401 - (56320000*f[a[5]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[b[3]*c[2]])/3486784401 + 
  (104857600*f[a[1]*a[2]]*f[a[2]^2*b[1]*c[1]]*f[b[3]*c[2]])/387420489 - 
  (524288000*f[a[1]^3*a[2]]*f[a[2]^2*b[1]*c[1]]*f[b[3]*c[2]])/
   3486784401 + (524288000*f[a[2]*a[3]]*f[a[2]^2*b[1]*c[1]]*
     f[b[3]*c[2]])/1162261467 - 
  (419430400*f[a[1]*a[4]]*f[a[2]^2*b[1]*c[1]]*f[b[3]*c[2]])/
   31381059609 + (1024000*f[a[2]]*f[a[3]*b[1]*c[1]]*f[b[3]*c[2]])/
   4782969 - (5120000*f[a[1]^2*a[2]]*f[a[3]*b[1]*c[1]]*f[b[3]*c[2]])/
   129140163 + (25600000*f[a[1]^4*a[2]]*f[a[3]*b[1]*c[1]]*
     f[b[3]*c[2]])/1162261467 + 
  (26624000*f[a[2]^3]*f[a[3]*b[1]*c[1]]*f[b[3]*c[2]])/387420489 + 
  (32768000*f[a[1]*a[2]*a[3]]*f[a[3]*b[1]*c[1]]*f[b[3]*c[2]])/
   1162261467 + (40140800*f[a[4]]*f[a[3]*b[1]*c[1]]*f[b[3]*c[2]])/
   129140163 - (200704000*f[a[1]^2*a[4]]*f[a[3]*b[1]*c[1]]*
     f[b[3]*c[2]])/3486784401 - 
  (1301094400*f[a[6]]*f[a[3]*b[1]*c[1]]*f[b[3]*c[2]])/10460353203 + 
  (45875200*f[a[1]*a[2]]*f[a[1]*a[3]*b[1]*c[1]]*f[b[3]*c[2]])/
   387420489 - (229376000*f[a[1]^3*a[2]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[b[3]*c[2]])/3486784401 + 
  (1959526400*f[a[2]*a[3]]*f[a[1]*a[3]*b[1]*c[1]]*f[b[3]*c[2]])/
   10460353203 + (655360000*f[a[1]*a[4]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[b[3]*c[2]])/3486784401 + 
  (819200*f[a[1]]*f[a[4]*b[1]*c[1]]*f[b[3]*c[2]])/14348907 - 
  (4096000*f[a[1]^3]*f[a[4]*b[1]*c[1]]*f[b[3]*c[2]])/129140163 + 
  (102400000*f[a[1]^5]*f[a[4]*b[1]*c[1]]*f[b[3]*c[2]])/3486784401 + 
  (21299200*f[a[1]*a[2]^2]*f[a[4]*b[1]*c[1]]*f[b[3]*c[2]])/3486784401 - 
  (40140800*f[a[3]]*f[a[4]*b[1]*c[1]]*f[b[3]*c[2]])/129140163 + 
  (84377600*f[a[1]^2*a[3]]*f[a[4]*b[1]*c[1]]*f[b[3]*c[2]])/1162261467 - 
  (12488704000*f[a[5]]*f[a[4]*b[1]*c[1]]*f[b[3]*c[2]])/31381059609 + 
  (8960*f[1]*f[b[2]*c[1]]*f[b[3]*c[2]])/19683 - 
  (44800*f[a[1]^2]*f[b[2]*c[1]]*f[b[3]*c[2]])/531441 + 
  (224000*f[a[1]^4]*f[b[2]*c[1]]*f[b[3]*c[2]])/4782969 - 
  (5600000*f[a[1]^6]*f[b[2]*c[1]]*f[b[3]*c[2]])/129140163 + 
  (232960*f[a[2]^2]*f[b[2]*c[1]]*f[b[3]*c[2]])/4782969 - 
  (1164800*f[a[1]^2*a[2]^2]*f[b[2]*c[1]]*f[b[3]*c[2]])/129140163 + 
  (286720*f[a[1]*a[3]]*f[b[2]*c[1]]*f[b[3]*c[2]])/4782969 - 
  (1433600*f[a[1]^3*a[3]]*f[b[2]*c[1]]*f[b[3]*c[2]])/43046721 - 
  (8001280*f[a[3]^2]*f[b[2]*c[1]]*f[b[3]*c[2]])/129140163 - 
  (18350080*f[a[2]*a[4]]*f[b[2]*c[1]]*f[b[3]*c[2]])/387420489 - 
  (18636800*f[a[1]*a[5]]*f[b[2]*c[1]]*f[b[3]*c[2]])/387420489 - 
  (175360*f[b[1]*c[1]]*f[b[2]*c[1]]*f[b[3]*c[2]])/1594323 + 
  (876800*f[a[1]^2*b[1]*c[1]]*f[b[2]*c[1]]*f[b[3]*c[2]])/43046721 - 
  (4384000*f[a[1]^4*b[1]*c[1]]*f[b[2]*c[1]]*f[b[3]*c[2]])/387420489 - 
  (4559360*f[a[2]^2*b[1]*c[1]]*f[b[2]*c[1]]*f[b[3]*c[2]])/387420489 - 
  (5611520*f[a[1]*a[3]*b[1]*c[1]]*f[b[2]*c[1]]*f[b[3]*c[2]])/
   387420489 + (143360*f[a[1]]*f[a[1]*b[2]*c[1]]*f[b[3]*c[2]])/531441 - 
  (716800*f[a[1]^3]*f[a[1]*b[2]*c[1]]*f[b[3]*c[2]])/4782969 + 
  (17920000*f[a[1]^5]*f[a[1]*b[2]*c[1]]*f[b[3]*c[2]])/129140163 + 
  (3727360*f[a[1]*a[2]^2]*f[a[1]*b[2]*c[1]]*f[b[3]*c[2]])/129140163 - 
  (143360*f[a[3]]*f[a[1]*b[2]*c[1]]*f[b[3]*c[2]])/4782969 + 
  (3297280*f[a[1]^2*a[3]]*f[a[1]*b[2]*c[1]]*f[b[3]*c[2]])/43046721 + 
  (9318400*f[a[5]]*f[a[1]*b[2]*c[1]]*f[b[3]*c[2]])/387420489 - 
  (2805760*f[a[1]*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*f[b[3]*c[2]])/43046721 + 
  (14028800*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*f[b[3]*c[2]])/
   387420489 + (2805760*f[a[3]*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*
     f[b[3]*c[2]])/387420489 - 
  (44800*f[1]*f[a[1]^2*b[2]*c[1]]*f[b[3]*c[2]])/531441 + 
  (1603840*f[a[1]^2]*f[a[1]^2*b[2]*c[1]]*f[b[3]*c[2]])/4782969 - 
  (46995200*f[a[1]^4]*f[a[1]^2*b[2]*c[1]]*f[b[3]*c[2]])/129140163 + 
  (1748320000*f[a[1]^6]*f[a[1]^2*b[2]*c[1]]*f[b[3]*c[2]])/3486784401 + 
  (69905920*f[a[2]^2]*f[a[1]^2*b[2]*c[1]]*f[b[3]*c[2]])/387420489 + 
  (8296960*f[a[1]^2*a[2]^2]*f[a[1]^2*b[2]*c[1]]*f[b[3]*c[2]])/
   10460353203 - (2007040*f[a[1]*a[3]]*f[a[1]^2*b[2]*c[1]]*
     f[b[3]*c[2]])/43046721 + 
  (176906240*f[a[1]^3*a[3]]*f[a[1]^2*b[2]*c[1]]*f[b[3]*c[2]])/
   1162261467 + (53768960*f[a[3]^2]*f[a[1]^2*b[2]*c[1]]*f[b[3]*c[2]])/
   3486784401 - (789053440*f[a[2]*a[4]]*f[a[1]^2*b[2]*c[1]]*
     f[b[3]*c[2]])/10460353203 + 
  (130457600*f[a[1]*a[5]]*f[a[1]^2*b[2]*c[1]]*f[b[3]*c[2]])/
   3486784401 + (876800*f[b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*f[b[3]*c[2]])/
   43046721 - (31389440*f[a[1]^2*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*
     f[b[3]*c[2]])/387420489 + 
  (919763200*f[a[1]^4*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*f[b[3]*c[2]])/
   10460353203 - (1368158720*f[a[2]^2*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*
     f[b[3]*c[2]])/31381059609 + 
  (39280640*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*f[b[3]*c[2]])/
   3486784401 - (716800*f[a[1]]*f[a[1]^3*b[2]*c[1]]*f[b[3]*c[2]])/
   4782969 + (84152320*f[a[1]^3]*f[a[1]^3*b[2]*c[1]]*f[b[3]*c[2]])/
   129140163 - (3938816000*f[a[1]^5]*f[a[1]^3*b[2]*c[1]]*f[b[3]*c[2]])/
   3486784401 + (1118494720*f[a[1]*a[2]^2]*f[a[1]^3*b[2]*c[1]]*
     f[b[3]*c[2]])/3486784401 + 
  (716800*f[a[3]]*f[a[1]^3*b[2]*c[1]]*f[b[3]*c[2]])/43046721 - 
  (122859520*f[a[1]^2*a[3]]*f[a[1]^3*b[2]*c[1]]*f[b[3]*c[2]])/
   1162261467 - (46592000*f[a[5]]*f[a[1]^3*b[2]*c[1]]*f[b[3]*c[2]])/
   3486784401 + (14028800*f[a[1]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[b[3]*c[2]])/387420489 - 
  (1646981120*f[a[1]^3*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*f[b[3]*c[2]])/
   10460353203 - (14028800*f[a[3]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[b[3]*c[2]])/3486784401 - 
  (2293760*f[a[2]]*f[a[2]*b[2]*c[1]]*f[b[3]*c[2]])/4782969 + 
  (11468800*f[a[1]^2*a[2]]*f[a[2]*b[2]*c[1]]*f[b[3]*c[2]])/129140163 - 
  (57344000*f[a[1]^4*a[2]]*f[a[2]*b[2]*c[1]]*f[b[3]*c[2]])/1162261467 - 
  (59637760*f[a[2]^3]*f[a[2]*b[2]*c[1]]*f[b[3]*c[2]])/387420489 - 
  (73400320*f[a[1]*a[2]*a[3]]*f[a[2]*b[2]*c[1]]*f[b[3]*c[2]])/
   1162261467 + (9175040*f[a[4]]*f[a[2]*b[2]*c[1]]*f[b[3]*c[2]])/
   387420489 - (45875200*f[a[1]^2*a[4]]*f[a[2]*b[2]*c[1]]*
     f[b[3]*c[2]])/10460353203 - 
  (25231360*f[a[6]]*f[a[2]*b[2]*c[1]]*f[b[3]*c[2]])/1162261467 + 
  (44892160*f[a[2]*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*f[b[3]*c[2]])/
   387420489 - (224460800*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*
     f[b[3]*c[2]])/10460353203 - 
  (179568640*f[a[4]*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*f[b[3]*c[2]])/
   31381059609 - (146800640*f[a[1]*a[2]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[3]*c[2]])/387420489 + 
  (734003200*f[a[1]^3*a[2]]*f[a[1]*a[2]*b[2]*c[1]]*f[b[3]*c[2]])/
   3486784401 - (146800640*f[a[2]*a[3]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[3]*c[2]])/1162261467 + 
  (587202560*f[a[1]*a[4]]*f[a[1]*a[2]*b[2]*c[1]]*f[b[3]*c[2]])/
   10460353203 + (2873098240*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]]*f[b[3]*c[2]])/31381059609 - 
  (143360*f[a[1]]*f[a[3]*b[2]*c[1]]*f[b[3]*c[2]])/4782969 + 
  (716800*f[a[1]^3]*f[a[3]*b[2]*c[1]]*f[b[3]*c[2]])/43046721 - 
  (17920000*f[a[1]^5]*f[a[3]*b[2]*c[1]]*f[b[3]*c[2]])/1162261467 - 
  (3727360*f[a[1]*a[2]^2]*f[a[3]*b[2]*c[1]]*f[b[3]*c[2]])/1162261467 + 
  (92180480*f[a[3]]*f[a[3]*b[2]*c[1]]*f[b[3]*c[2]])/129140163 - 
  (488427520*f[a[1]^2*a[3]]*f[a[3]*b[2]*c[1]]*f[b[3]*c[2]])/
   3486784401 - (33689600*f[a[5]]*f[a[3]*b[2]*c[1]]*f[b[3]*c[2]])/
   1162261467 + (2805760*f[a[1]*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[b[3]*c[2]])/387420489 - 
  (14028800*f[a[1]^3*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*f[b[3]*c[2]])/
   3486784401 - (1804103680*f[a[3]*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[b[3]*c[2]])/10460353203 - 
  (2048000*f[b[2]*c[1]]*f[b[3]*c[1]]*f[b[3]*c[2]])/4782969 + 
  (10240000*f[a[1]^2*b[2]*c[1]]*f[b[3]*c[1]]*f[b[3]*c[2]])/129140163 + 
  (778240*f[a[2]]*f[a[1]*b[3]*c[1]]*f[b[3]*c[2]])/4782969 - 
  (3891200*f[a[1]^2*a[2]]*f[a[1]*b[3]*c[1]]*f[b[3]*c[2]])/129140163 + 
  (19456000*f[a[1]^4*a[2]]*f[a[1]*b[3]*c[1]]*f[b[3]*c[2]])/1162261467 + 
  (20234240*f[a[2]^3]*f[a[1]*b[3]*c[1]]*f[b[3]*c[2]])/387420489 + 
  (24903680*f[a[1]*a[2]*a[3]]*f[a[1]*b[3]*c[1]]*f[b[3]*c[2]])/
   1162261467 - (3112960*f[a[4]]*f[a[1]*b[3]*c[1]]*f[b[3]*c[2]])/
   43046721 + (15564800*f[a[1]^2*a[4]]*f[a[1]*b[3]*c[1]]*f[b[3]*c[2]])/
   1162261467 + (19456000*f[a[6]]*f[a[1]*b[3]*c[1]]*f[b[3]*c[2]])/
   387420489 + (10526720*f[a[2]*b[1]*c[1]]*f[a[1]*b[3]*c[1]]*
     f[b[3]*c[2]])/129140163 - 
  (52633600*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[3]*c[1]]*f[b[3]*c[2]])/
   3486784401 - (42106880*f[a[4]*b[1]*c[1]]*f[a[1]*b[3]*c[1]]*
     f[b[3]*c[2]])/1162261467 - 
  (32768000*f[a[1]*b[2]*c[1]]*f[a[1]*b[3]*c[1]]*f[b[3]*c[2]])/
   129140163 + (163840000*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[3]*c[1]]*
     f[b[3]*c[2]])/1162261467 + 
  (32768000*f[a[3]*b[2]*c[1]]*f[a[1]*b[3]*c[1]]*f[b[3]*c[2]])/
   1162261467 + (24903680*f[a[1]*a[2]]*f[a[1]^2*b[3]*c[1]]*
     f[b[3]*c[2]])/129140163 - 
  (124518400*f[a[1]^3*a[2]]*f[a[1]^2*b[3]*c[1]]*f[b[3]*c[2]])/
   1162261467 - (24903680*f[a[2]*a[3]]*f[a[1]^2*b[3]*c[1]]*
     f[b[3]*c[2]])/1162261467 - 
  (99614720*f[a[1]*a[4]]*f[a[1]^2*b[3]*c[1]]*f[b[3]*c[2]])/1162261467 + 
  (336855040*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*f[b[3]*c[2]])/
   3486784401 + (10240000*f[b[2]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[b[3]*c[2]])/129140163 - 
  (366592000*f[a[1]^2*b[2]*c[1]]*f[a[1]^2*b[3]*c[1]]*f[b[3]*c[2]])/
   1162261467 - (778240*f[a[1]]*f[a[2]*b[3]*c[1]]*f[b[3]*c[2]])/
   4782969 + (3891200*f[a[1]^3]*f[a[2]*b[3]*c[1]]*f[b[3]*c[2]])/
   43046721 - (97280000*f[a[1]^5]*f[a[2]*b[3]*c[1]]*f[b[3]*c[2]])/
   1162261467 - (20234240*f[a[1]*a[2]^2]*f[a[2]*b[3]*c[1]]*
     f[b[3]*c[2]])/1162261467 - 
  (3891200*f[a[3]]*f[a[2]*b[3]*c[1]]*f[b[3]*c[2]])/14348907 + 
  (8560640*f[a[1]^2*a[3]]*f[a[2]*b[3]*c[1]]*f[b[3]*c[2]])/1162261467 + 
  (42803200*f[a[5]]*f[a[2]*b[3]*c[1]]*f[b[3]*c[2]])/387420489 - 
  (10526720*f[a[1]*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*f[b[3]*c[2]])/
   129140163 + (52633600*f[a[1]^3*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[b[3]*c[2]])/1162261467 - 
  (52633600*f[a[3]*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*f[b[3]*c[2]])/
   387420489 + (524288000*f[a[2]*b[2]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[b[3]*c[2]])/1162261467 + 
  (64000*f[1]*f[b[4]*c[1]]*f[b[3]*c[2]])/1594323 - 
  (320000*f[a[1]^2]*f[b[4]*c[1]]*f[b[3]*c[2]])/43046721 + 
  (1600000*f[a[1]^4]*f[b[4]*c[1]]*f[b[3]*c[2]])/387420489 - 
  (40000000*f[a[1]^6]*f[b[4]*c[1]]*f[b[3]*c[2]])/10460353203 + 
  (1664000*f[a[2]^2]*f[b[4]*c[1]]*f[b[3]*c[2]])/387420489 - 
  (8320000*f[a[1]^2*a[2]^2]*f[b[4]*c[1]]*f[b[3]*c[2]])/10460353203 + 
  (2048000*f[a[1]*a[3]]*f[b[4]*c[1]]*f[b[3]*c[2]])/387420489 - 
  (10240000*f[a[1]^3*a[3]]*f[b[4]*c[1]]*f[b[3]*c[2]])/3486784401 - 
  (57152000*f[a[3]^2]*f[b[4]*c[1]]*f[b[3]*c[2]])/10460353203 - 
  (131072000*f[a[2]*a[4]]*f[b[4]*c[1]]*f[b[3]*c[2]])/31381059609 - 
  (133120000*f[a[1]*a[5]]*f[b[4]*c[1]]*f[b[3]*c[2]])/31381059609 + 
  (1395200*f[b[1]*c[1]]*f[b[4]*c[1]]*f[b[3]*c[2]])/14348907 - 
  (6976000*f[a[1]^2*b[1]*c[1]]*f[b[4]*c[1]]*f[b[3]*c[2]])/387420489 + 
  (34880000*f[a[1]^4*b[1]*c[1]]*f[b[4]*c[1]]*f[b[3]*c[2]])/3486784401 + 
  (36275200*f[a[2]^2*b[1]*c[1]]*f[b[4]*c[1]]*f[b[3]*c[2]])/3486784401 + 
  (44646400*f[a[1]*a[3]*b[1]*c[1]]*f[b[4]*c[1]]*f[b[3]*c[2]])/
   3486784401 + (12615680*f[b[3]*c[1]]*f[b[4]*c[1]]*f[b[3]*c[2]])/
   129140163 - (63078400*f[a[1]^2*b[3]*c[1]]*f[b[4]*c[1]]*
     f[b[3]*c[2]])/3486784401 + 
  (1024000*f[a[1]]*f[a[1]*b[4]*c[1]]*f[b[3]*c[2]])/43046721 - 
  (5120000*f[a[1]^3]*f[a[1]*b[4]*c[1]]*f[b[3]*c[2]])/387420489 + 
  (128000000*f[a[1]^5]*f[a[1]*b[4]*c[1]]*f[b[3]*c[2]])/10460353203 + 
  (26624000*f[a[1]*a[2]^2]*f[a[1]*b[4]*c[1]]*f[b[3]*c[2]])/
   10460353203 - (1024000*f[a[3]]*f[a[1]*b[4]*c[1]]*f[b[3]*c[2]])/
   387420489 + (23552000*f[a[1]^2*a[3]]*f[a[1]*b[4]*c[1]]*
     f[b[3]*c[2]])/3486784401 + 
  (66560000*f[a[5]]*f[a[1]*b[4]*c[1]]*f[b[3]*c[2]])/31381059609 + 
  (22323200*f[a[1]*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*f[b[3]*c[2]])/
   387420489 - (111616000*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[b[3]*c[2]])/3486784401 - 
  (22323200*f[a[3]*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*f[b[3]*c[2]])/
   3486784401 - (2474639360*f[a[2]*b[2]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[b[3]*c[2]])/31381059609 + 
  (201850880*f[a[1]*b[3]*c[1]]*f[a[1]*b[4]*c[1]]*f[b[3]*c[2]])/
   3486784401 + (36454400*f[b[2]*c[1]]*f[b[5]*c[1]]*f[b[3]*c[2]])/
   129140163 - (182272000*f[a[1]^2*b[2]*c[1]]*f[b[5]*c[1]]*
     f[b[3]*c[2]])/3486784401 - 
  (333414400*f[b[4]*c[1]]*f[b[5]*c[1]]*f[b[3]*c[2]])/10460353203 - 
  (12160*f[1]*f[b[1]*c[2]]*f[b[3]*c[2]])/19683 + 
  (60800*f[a[1]^2]*f[b[1]*c[2]]*f[b[3]*c[2]])/531441 - 
  (304000*f[a[1]^4]*f[b[1]*c[2]]*f[b[3]*c[2]])/4782969 + 
  (7600000*f[a[1]^6]*f[b[1]*c[2]]*f[b[3]*c[2]])/129140163 - 
  (316160*f[a[2]^2]*f[b[1]*c[2]]*f[b[3]*c[2]])/4782969 + 
  (1580800*f[a[1]^2*a[2]^2]*f[b[1]*c[2]]*f[b[3]*c[2]])/129140163 - 
  (389120*f[a[1]*a[3]]*f[b[1]*c[2]]*f[b[3]*c[2]])/4782969 + 
  (1945600*f[a[1]^3*a[3]]*f[b[1]*c[2]]*f[b[3]*c[2]])/43046721 + 
  (10858880*f[a[3]^2]*f[b[1]*c[2]]*f[b[3]*c[2]])/129140163 + 
  (24903680*f[a[2]*a[4]]*f[b[1]*c[2]]*f[b[3]*c[2]])/387420489 + 
  (25292800*f[a[1]*a[5]]*f[b[1]*c[2]]*f[b[3]*c[2]])/387420489 - 
  (821120*f[b[1]*c[1]]*f[b[1]*c[2]]*f[b[3]*c[2]])/1594323 + 
  (4105600*f[a[1]^2*b[1]*c[1]]*f[b[1]*c[2]]*f[b[3]*c[2]])/43046721 - 
  (20528000*f[a[1]^4*b[1]*c[1]]*f[b[1]*c[2]]*f[b[3]*c[2]])/387420489 - 
  (21349120*f[a[2]^2*b[1]*c[1]]*f[b[1]*c[2]]*f[b[3]*c[2]])/387420489 - 
  (26275840*f[a[1]*a[3]*b[1]*c[1]]*f[b[1]*c[2]]*f[b[3]*c[2]])/
   387420489 - (622592*f[b[3]*c[1]]*f[b[1]*c[2]]*f[b[3]*c[2]])/
   4782969 + (3112960*f[a[1]^2*b[3]*c[1]]*f[b[1]*c[2]]*f[b[3]*c[2]])/
   129140163 - (14909440*f[b[5]*c[1]]*f[b[1]*c[2]]*f[b[3]*c[2]])/
   387420489 - (194560*f[a[1]]*f[a[1]*b[1]*c[2]]*f[b[3]*c[2]])/531441 + 
  (972800*f[a[1]^3]*f[a[1]*b[1]*c[2]]*f[b[3]*c[2]])/4782969 - 
  (24320000*f[a[1]^5]*f[a[1]*b[1]*c[2]]*f[b[3]*c[2]])/129140163 - 
  (5058560*f[a[1]*a[2]^2]*f[a[1]*b[1]*c[2]]*f[b[3]*c[2]])/129140163 + 
  (194560*f[a[3]]*f[a[1]*b[1]*c[2]]*f[b[3]*c[2]])/4782969 - 
  (4474880*f[a[1]^2*a[3]]*f[a[1]*b[1]*c[2]]*f[b[3]*c[2]])/43046721 - 
  (12646400*f[a[5]]*f[a[1]*b[1]*c[2]]*f[b[3]*c[2]])/387420489 - 
  (13137920*f[a[1]*b[1]*c[1]]*f[a[1]*b[1]*c[2]]*f[b[3]*c[2]])/
   43046721 + (65689600*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[b[3]*c[2]])/387420489 + 
  (13137920*f[a[3]*b[1]*c[1]]*f[a[1]*b[1]*c[2]]*f[b[3]*c[2]])/
   387420489 + (29360128*f[a[2]*b[2]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[b[3]*c[2]])/387420489 - 
  (9961472*f[a[1]*b[3]*c[1]]*f[a[1]*b[1]*c[2]]*f[b[3]*c[2]])/
   129140163 + (60800*f[1]*f[a[1]^2*b[1]*c[2]]*f[b[3]*c[2]])/531441 - 
  (2176640*f[a[1]^2]*f[a[1]^2*b[1]*c[2]]*f[b[3]*c[2]])/4782969 + 
  (63779200*f[a[1]^4]*f[a[1]^2*b[1]*c[2]]*f[b[3]*c[2]])/129140163 - 
  (2372720000*f[a[1]^6]*f[a[1]^2*b[1]*c[2]]*f[b[3]*c[2]])/3486784401 - 
  (94872320*f[a[2]^2]*f[a[1]^2*b[1]*c[2]]*f[b[3]*c[2]])/387420489 - 
  (11260160*f[a[1]^2*a[2]^2]*f[a[1]^2*b[1]*c[2]]*f[b[3]*c[2]])/
   10460353203 + (2723840*f[a[1]*a[3]]*f[a[1]^2*b[1]*c[2]]*
     f[b[3]*c[2]])/43046721 - 
  (240087040*f[a[1]^3*a[3]]*f[a[1]^2*b[1]*c[2]]*f[b[3]*c[2]])/
   1162261467 - (72972160*f[a[3]^2]*f[a[1]^2*b[1]*c[2]]*f[b[3]*c[2]])/
   3486784401 + (1070858240*f[a[2]*a[4]]*f[a[1]^2*b[1]*c[2]]*
     f[b[3]*c[2]])/10460353203 - 
  (177049600*f[a[1]*a[5]]*f[a[1]^2*b[1]*c[2]]*f[b[3]*c[2]])/
   3486784401 + (4105600*f[b[1]*c[1]]*f[a[1]^2*b[1]*c[2]]*
     f[b[3]*c[2]])/43046721 - 
  (146980480*f[a[1]^2*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]]*f[b[3]*c[2]])/
   387420489 + (4306774400*f[a[1]^4*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]]*
     f[b[3]*c[2]])/10460353203 - 
  (6406378240*f[a[2]^2*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]]*f[b[3]*c[2]])/
   31381059609 + (183930880*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]]*
     f[b[3]*c[2]])/3486784401 + 
  (939524096*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]^2*b[1]*c[2]]*f[b[3]*c[2]])/
   10460353203 + (3112960*f[b[3]*c[1]]*f[a[1]^2*b[1]*c[2]]*
     f[b[3]*c[2]])/129140163 - 
  (111443968*f[a[1]^2*b[3]*c[1]]*f[a[1]^2*b[1]*c[2]]*f[b[3]*c[2]])/
   1162261467 + (74547200*f[b[5]*c[1]]*f[a[1]^2*b[1]*c[2]]*
     f[b[3]*c[2]])/10460353203 + 
  (972800*f[a[1]]*f[a[1]^3*b[1]*c[2]]*f[b[3]*c[2]])/4782969 - 
  (114206720*f[a[1]^3]*f[a[1]^3*b[1]*c[2]]*f[b[3]*c[2]])/129140163 + 
  (5345536000*f[a[1]^5]*f[a[1]^3*b[1]*c[2]]*f[b[3]*c[2]])/3486784401 - 
  (1517957120*f[a[1]*a[2]^2]*f[a[1]^3*b[1]*c[2]]*f[b[3]*c[2]])/
   3486784401 - (972800*f[a[3]]*f[a[1]^3*b[1]*c[2]]*f[b[3]*c[2]])/
   43046721 + (166737920*f[a[1]^2*a[3]]*f[a[1]^3*b[1]*c[2]]*
     f[b[3]*c[2]])/1162261467 + 
  (63232000*f[a[5]]*f[a[1]^3*b[1]*c[2]]*f[b[3]*c[2]])/3486784401 + 
  (65689600*f[a[1]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*f[b[3]*c[2]])/
   387420489 - (7711959040*f[a[1]^3*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[b[3]*c[2]])/10460353203 - 
  (65689600*f[a[3]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*f[b[3]*c[2]])/
   3486784401 - (146800640*f[a[2]*b[2]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[b[3]*c[2]])/3486784401 + 
  (49807360*f[a[1]*b[3]*c[1]]*f[a[1]^3*b[1]*c[2]]*f[b[3]*c[2]])/
   1162261467 + (3112960*f[a[2]]*f[a[2]*b[1]*c[2]]*f[b[3]*c[2]])/
   4782969 - (15564800*f[a[1]^2*a[2]]*f[a[2]*b[1]*c[2]]*f[b[3]*c[2]])/
   129140163 + (77824000*f[a[1]^4*a[2]]*f[a[2]*b[1]*c[2]]*
     f[b[3]*c[2]])/1162261467 + 
  (80936960*f[a[2]^3]*f[a[2]*b[1]*c[2]]*f[b[3]*c[2]])/387420489 + 
  (99614720*f[a[1]*a[2]*a[3]]*f[a[2]*b[1]*c[2]]*f[b[3]*c[2]])/
   1162261467 - (12451840*f[a[4]]*f[a[2]*b[1]*c[2]]*f[b[3]*c[2]])/
   387420489 + (62259200*f[a[1]^2*a[4]]*f[a[2]*b[1]*c[2]]*
     f[b[3]*c[2]])/10460353203 + 
  (34242560*f[a[6]]*f[a[2]*b[1]*c[2]]*f[b[3]*c[2]])/1162261467 + 
  (210206720*f[a[2]*b[1]*c[1]]*f[a[2]*b[1]*c[2]]*f[b[3]*c[2]])/
   387420489 - (1051033600*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[2]*b[1]*c[2]]*
     f[b[3]*c[2]])/10460353203 - 
  (840826880*f[a[4]*b[1]*c[1]]*f[a[2]*b[1]*c[2]]*f[b[3]*c[2]])/
   31381059609 - (29360128*f[a[1]*b[2]*c[1]]*f[a[2]*b[1]*c[2]]*
     f[b[3]*c[2]])/387420489 + 
  (146800640*f[a[1]^3*b[2]*c[1]]*f[a[2]*b[1]*c[2]]*f[b[3]*c[2]])/
   3486784401 - (146800640*f[a[3]*b[2]*c[1]]*f[a[2]*b[1]*c[2]]*
     f[b[3]*c[2]])/1162261467 + 
  (159383552*f[a[2]*b[3]*c[1]]*f[a[2]*b[1]*c[2]]*f[b[3]*c[2]])/
   1162261467 - (209715200*f[a[1]*b[4]*c[1]]*f[a[2]*b[1]*c[2]]*
     f[b[3]*c[2]])/31381059609 + 
  (199229440*f[a[1]*a[2]]*f[a[1]*a[2]*b[1]*c[2]]*f[b[3]*c[2]])/
   387420489 - (996147200*f[a[1]^3*a[2]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[3]*c[2]])/3486784401 + 
  (199229440*f[a[2]*a[3]]*f[a[1]*a[2]*b[1]*c[2]]*f[b[3]*c[2]])/
   1162261467 - (796917760*f[a[1]*a[4]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[3]*c[2]])/10460353203 + 
  (13453230080*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[3]*c[2]])/31381059609 - 
  (939524096*f[a[1]^2*b[2]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*f[b[3]*c[2]])/
   10460353203 + (194560*f[a[1]]*f[a[3]*b[1]*c[2]]*f[b[3]*c[2]])/
   4782969 - (972800*f[a[1]^3]*f[a[3]*b[1]*c[2]]*f[b[3]*c[2]])/
   43046721 + (24320000*f[a[1]^5]*f[a[3]*b[1]*c[2]]*f[b[3]*c[2]])/
   1162261467 + (5058560*f[a[1]*a[2]^2]*f[a[3]*b[1]*c[2]]*
     f[b[3]*c[2]])/1162261467 - 
  (125102080*f[a[3]]*f[a[3]*b[1]*c[2]]*f[b[3]*c[2]])/129140163 + 
  (662865920*f[a[1]^2*a[3]]*f[a[3]*b[1]*c[2]]*f[b[3]*c[2]])/
   3486784401 + (45721600*f[a[5]]*f[a[3]*b[1]*c[2]]*f[b[3]*c[2]])/
   1162261467 + (13137920*f[a[1]*b[1]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[b[3]*c[2]])/387420489 - 
  (65689600*f[a[1]^3*b[1]*c[1]]*f[a[3]*b[1]*c[2]]*f[b[3]*c[2]])/
   3486784401 - (8447682560*f[a[3]*b[1]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[b[3]*c[2]])/10460353203 + 
  (146800640*f[a[2]*b[2]*c[1]]*f[a[3]*b[1]*c[2]]*f[b[3]*c[2]])/
   1162261467 + (9961472*f[a[1]*b[3]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[b[3]*c[2]])/1162261467 + 
  (3557120*f[b[2]*c[1]]*f[b[2]*c[2]]*f[b[3]*c[2]])/4782969 - 
  (17785600*f[a[1]^2*b[2]*c[1]]*f[b[2]*c[2]]*f[b[3]*c[2]])/129140163 + 
  (25408000*f[b[4]*c[1]]*f[b[2]*c[2]]*f[b[3]*c[2]])/387420489 + 
  (12160*f[b[1]*c[2]]*f[b[2]*c[2]]*f[b[3]*c[2]])/19683 - 
  (60800*f[a[1]^2*b[1]*c[2]]*f[b[2]*c[2]]*f[b[3]*c[2]])/531441 + 
  (2179072*f[a[2]]*f[a[1]*b[2]*c[2]]*f[b[3]*c[2]])/4782969 - 
  (10895360*f[a[1]^2*a[2]]*f[a[1]*b[2]*c[2]]*f[b[3]*c[2]])/129140163 + 
  (54476800*f[a[1]^4*a[2]]*f[a[1]*b[2]*c[2]]*f[b[3]*c[2]])/1162261467 + 
  (56655872*f[a[2]^3]*f[a[1]*b[2]*c[2]]*f[b[3]*c[2]])/387420489 + 
  (69730304*f[a[1]*a[2]*a[3]]*f[a[1]*b[2]*c[2]]*f[b[3]*c[2]])/
   1162261467 - (8716288*f[a[4]]*f[a[1]*b[2]*c[2]]*f[b[3]*c[2]])/
   43046721 + (43581440*f[a[1]^2*a[4]]*f[a[1]*b[2]*c[2]]*f[b[3]*c[2]])/
   1162261467 + (54476800*f[a[6]]*f[a[1]*b[2]*c[2]]*f[b[3]*c[2]])/
   387420489 + (36478976*f[a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[2]]*
     f[b[3]*c[2]])/387420489 - 
  (182394880*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[2]]*f[b[3]*c[2]])/
   10460353203 - (145915904*f[a[4]*b[1]*c[1]]*f[a[1]*b[2]*c[2]]*
     f[b[3]*c[2]])/3486784401 + 
  (56913920*f[a[1]*b[2]*c[1]]*f[a[1]*b[2]*c[2]]*f[b[3]*c[2]])/
   129140163 - (284569600*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[2]*c[2]]*
     f[b[3]*c[2]])/1162261467 - 
  (56913920*f[a[3]*b[2]*c[1]]*f[a[1]*b[2]*c[2]]*f[b[3]*c[2]])/
   1162261467 - (308961280*f[a[2]*b[3]*c[1]]*f[a[1]*b[2]*c[2]]*
     f[b[3]*c[2]])/1162261467 + 
  (406528000*f[a[1]*b[4]*c[1]]*f[a[1]*b[2]*c[2]]*f[b[3]*c[2]])/
   10460353203 + (194560*f[a[1]*b[1]*c[2]]*f[a[1]*b[2]*c[2]]*
     f[b[3]*c[2]])/531441 - (972800*f[a[1]^3*b[1]*c[2]]*
     f[a[1]*b[2]*c[2]]*f[b[3]*c[2]])/4782969 - 
  (194560*f[a[3]*b[1]*c[2]]*f[a[1]*b[2]*c[2]]*f[b[3]*c[2]])/4782969 + 
  (69730304*f[a[1]*a[2]]*f[a[1]^2*b[2]*c[2]]*f[b[3]*c[2]])/129140163 - 
  (348651520*f[a[1]^3*a[2]]*f[a[1]^2*b[2]*c[2]]*f[b[3]*c[2]])/
   1162261467 - (69730304*f[a[2]*a[3]]*f[a[1]^2*b[2]*c[2]]*
     f[b[3]*c[2]])/1162261467 - 
  (278921216*f[a[1]*a[4]]*f[a[1]^2*b[2]*c[2]]*f[b[3]*c[2]])/
   1162261467 + (1167327232*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]]*
     f[b[3]*c[2]])/10460353203 - 
  (17785600*f[b[2]*c[1]]*f[a[1]^2*b[2]*c[2]]*f[b[3]*c[2]])/129140163 + 
  (636724480*f[a[1]^2*b[2]*c[1]]*f[a[1]^2*b[2]*c[2]]*f[b[3]*c[2]])/
   1162261467 - (127040000*f[b[4]*c[1]]*f[a[1]^2*b[2]*c[2]]*
     f[b[3]*c[2]])/10460353203 - 
  (60800*f[b[1]*c[2]]*f[a[1]^2*b[2]*c[2]]*f[b[3]*c[2]])/531441 + 
  (2176640*f[a[1]^2*b[1]*c[2]]*f[a[1]^2*b[2]*c[2]]*f[b[3]*c[2]])/
   4782969 - (2179072*f[a[1]]*f[a[2]*b[2]*c[2]]*f[b[3]*c[2]])/4782969 + 
  (10895360*f[a[1]^3]*f[a[2]*b[2]*c[2]]*f[b[3]*c[2]])/43046721 - 
  (272384000*f[a[1]^5]*f[a[2]*b[2]*c[2]]*f[b[3]*c[2]])/1162261467 - 
  (56655872*f[a[1]*a[2]^2]*f[a[2]*b[2]*c[2]]*f[b[3]*c[2]])/1162261467 - 
  (10895360*f[a[3]]*f[a[2]*b[2]*c[2]]*f[b[3]*c[2]])/14348907 + 
  (23969792*f[a[1]^2*a[3]]*f[a[2]*b[2]*c[2]]*f[b[3]*c[2]])/1162261467 + 
  (119848960*f[a[5]]*f[a[2]*b[2]*c[2]]*f[b[3]*c[2]])/387420489 - 
  (36478976*f[a[1]*b[1]*c[1]]*f[a[2]*b[2]*c[2]]*f[b[3]*c[2]])/
   387420489 + (182394880*f[a[1]^3*b[1]*c[1]]*f[a[2]*b[2]*c[2]]*
     f[b[3]*c[2]])/3486784401 - 
  (182394880*f[a[3]*b[1]*c[1]]*f[a[2]*b[2]*c[2]]*f[b[3]*c[2]])/
   1162261467 - (910622720*f[a[2]*b[2]*c[1]]*f[a[2]*b[2]*c[2]]*
     f[b[3]*c[2]])/1162261467 + 
  (308961280*f[a[1]*b[3]*c[1]]*f[a[2]*b[2]*c[2]]*f[b[3]*c[2]])/
   1162261467 - (3112960*f[a[2]*b[1]*c[2]]*f[a[2]*b[2]*c[2]]*
     f[b[3]*c[2]])/4782969 + (23104*f[1]*f[b[3]*c[2]]^2)/59049 - 
  (115520*f[a[1]^2]*f[b[3]*c[2]]^2)/1594323 + 
  (577600*f[a[1]^4]*f[b[3]*c[2]]^2)/14348907 - 
  (14440000*f[a[1]^6]*f[b[3]*c[2]]^2)/387420489 + 
  (600704*f[a[2]^2]*f[b[3]*c[2]]^2)/14348907 - 
  (3003520*f[a[1]^2*a[2]^2]*f[b[3]*c[2]]^2)/387420489 + 
  (739328*f[a[1]*a[3]]*f[b[3]*c[2]]^2)/14348907 - 
  (3696640*f[a[1]^3*a[3]]*f[b[3]*c[2]]^2)/129140163 - 
  (20631872*f[a[3]^2]*f[b[3]*c[2]]^2)/387420489 - 
  (47316992*f[a[2]*a[4]]*f[b[3]*c[2]]^2)/1162261467 - 
  (48056320*f[a[1]*a[5]]*f[b[3]*c[2]]^2)/1162261467 + 
  (1248832*f[b[1]*c[1]]*f[b[3]*c[2]]^2)/4782969 - 
  (6244160*f[a[1]^2*b[1]*c[1]]*f[b[3]*c[2]]^2)/129140163 + 
  (31220800*f[a[1]^4*b[1]*c[1]]*f[b[3]*c[2]]^2)/1162261467 + 
  (32469632*f[a[2]^2*b[1]*c[1]]*f[b[3]*c[2]]^2)/1162261467 + 
  (39962624*f[a[1]*a[3]*b[1]*c[1]]*f[b[3]*c[2]]^2)/1162261467 + 
  (68485120*f[b[5]*c[1]]*f[b[3]*c[2]]^2)/1162261467 - 
  (23104*f[b[2]*c[2]]*f[b[3]*c[2]]^2)/59049 + 
  (115520*f[a[1]^2*b[2]*c[2]]*f[b[3]*c[2]]^2)/1594323 - 
  (204800*f[a[2]]*f[b[1]*c[1]]*f[a[1]*b[3]*c[2]])/1594323 + 
  (1024000*f[a[1]^2*a[2]]*f[b[1]*c[1]]*f[a[1]*b[3]*c[2]])/43046721 - 
  (5120000*f[a[1]^4*a[2]]*f[b[1]*c[1]]*f[a[1]*b[3]*c[2]])/387420489 - 
  (5324800*f[a[2]^3]*f[b[1]*c[1]]*f[a[1]*b[3]*c[2]])/129140163 - 
  (6553600*f[a[1]*a[2]*a[3]]*f[b[1]*c[1]]*f[a[1]*b[3]*c[2]])/
   387420489 + (819200*f[a[4]]*f[b[1]*c[1]]*f[a[1]*b[3]*c[2]])/
   14348907 - (4096000*f[a[1]^2*a[4]]*f[b[1]*c[1]]*f[a[1]*b[3]*c[2]])/
   387420489 - (5120000*f[a[6]]*f[b[1]*c[1]]*f[a[1]*b[3]*c[2]])/
   129140163 + (7577600*f[a[2]]*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[3]*c[2]])/
   43046721 + (22323200*f[a[1]^2*a[2]]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]*b[3]*c[2]])/387420489 - 
  (859136000*f[a[1]^4*a[2]]*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[3]*c[2]])/
   10460353203 - (1086668800*f[a[2]^3]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]*b[3]*c[2]])/10460353203 + 
  (45875200*f[a[1]*a[2]*a[3]]*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[3]*c[2]])/
   3486784401 - (30310400*f[a[4]]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]*b[3]*c[2]])/387420489 - 
  (89292800*f[a[1]^2*a[4]]*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[3]*c[2]])/
   3486784401 + (189440000*f[a[6]]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]*b[3]*c[2]])/3486784401 + 
  (104857600*f[a[1]*a[2]]*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[3]*c[2]])/
   387420489 + (1782579200*f[a[1]^3*a[2]]*f[a[1]^3*b[1]*c[1]]*
     f[a[1]*b[3]*c[2]])/10460353203 - 
  (104857600*f[a[2]*a[3]]*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[3]*c[2]])/
   3486784401 - (419430400*f[a[1]*a[4]]*f[a[1]^3*b[1]*c[1]]*
     f[a[1]*b[3]*c[2]])/3486784401 - 
  (23552000*f[a[2]]*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[3]*c[2]])/129140163 + 
  (2005196800*f[a[1]^2*a[2]]*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[3]*c[2]])/
   3486784401 + (48984678400*f[a[1]^4*a[2]]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]*b[3]*c[2]])/94143178827 + 
  (141172326400*f[a[2]^3]*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[3]*c[2]])/
   282429536481 - (2641100800*f[a[1]*a[2]*a[3]]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]*b[3]*c[2]])/31381059609 + 
  (94208000*f[a[4]]*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[3]*c[2]])/1162261467 - 
  (8020787200*f[a[1]^2*a[4]]*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[3]*c[2]])/
   31381059609 - (588800000*f[a[6]]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]*b[3]*c[2]])/10460353203 + 
  (204800*f[1]*f[a[2]*b[1]*c[1]]*f[a[1]*b[3]*c[2]])/1594323 - 
  (7577600*f[a[1]^2]*f[a[2]*b[1]*c[1]]*f[a[1]*b[3]*c[2]])/43046721 + 
  (23552000*f[a[1]^4]*f[a[2]*b[1]*c[1]]*f[a[1]*b[3]*c[2]])/129140163 - 
  (2585600000*f[a[1]^6]*f[a[2]*b[1]*c[1]]*f[a[1]*b[3]*c[2]])/
   10460353203 + (110182400*f[a[2]^2]*f[a[2]*b[1]*c[1]]*
     f[a[1]*b[3]*c[2]])/387420489 - 
  (240435200*f[a[1]^2*a[2]^2]*f[a[2]*b[1]*c[1]]*f[a[1]*b[3]*c[2]])/
   3486784401 - (13107200*f[a[1]*a[3]]*f[a[2]*b[1]*c[1]]*
     f[a[1]*b[3]*c[2]])/129140163 - 
  (13107200*f[a[1]^3*a[3]]*f[a[2]*b[1]*c[1]]*f[a[1]*b[3]*c[2]])/
   3486784401 + (112025600*f[a[3]^2]*f[a[2]*b[1]*c[1]]*
     f[a[1]*b[3]*c[2]])/10460353203 - 
  (838860800*f[a[2]*a[4]]*f[a[2]*b[1]*c[1]]*f[a[1]*b[3]*c[2]])/
   10460353203 + (327680000*f[a[1]*a[5]]*f[a[2]*b[1]*c[1]]*
     f[a[1]*b[3]*c[2]])/10460353203 - 
  (104857600*f[a[1]^3]*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]*b[3]*c[2]])/
   387420489 + (5242880000*f[a[1]^5]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[1]*b[3]*c[2]])/10460353203 + 
  (1677721600*f[a[1]*a[2]^2]*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]*b[3]*c[2]])/
   31381059609 - (52428800*f[a[3]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[1]*b[3]*c[2]])/387420489 - 
  (367001600*f[a[1]^2*a[3]]*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]*b[3]*c[2]])/
   3486784401 + (1835008000*f[a[5]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[1]*b[3]*c[2]])/31381059609 - 
  (1024000*f[1]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[3]*c[2]])/43046721 - 
  (22323200*f[a[1]^2]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[3]*c[2]])/
   387420489 - (2005196800*f[a[1]^4]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*b[3]*c[2]])/3486784401 + 
  (476922880000*f[a[1]^6]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[3]*c[2]])/
   282429536481 - (10041344000*f[a[2]^2]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*b[3]*c[2]])/31381059609 - 
  (6976716800*f[a[1]^2*a[2]^2]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*b[3]*c[2]])/94143178827 - 
  (458752000*f[a[1]*a[3]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[3]*c[2]])/
   3486784401 - (15558246400*f[a[1]^3*a[3]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*b[3]*c[2]])/94143178827 + 
  (9191628800*f[a[3]^2]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[3]*c[2]])/
   282429536481 + (59559116800*f[a[2]*a[4]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*b[3]*c[2]])/847288609443 + 
  (15663104000*f[a[1]*a[5]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*b[3]*c[2]])/282429536481 - 
  (110182400*f[a[2]]*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[3]*c[2]])/387420489 + 
  (10041344000*f[a[1]^2*a[2]]*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[3]*c[2]])/
   31381059609 - (92149760000*f[a[1]^4*a[2]]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]*b[3]*c[2]])/282429536481 - 
  (29708288000*f[a[2]^3]*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[3]*c[2]])/
   31381059609 + (11573657600*f[a[1]*a[2]*a[3]]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]*b[3]*c[2]])/94143178827 + 
  (611123200*f[a[4]]*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[3]*c[2]])/
   31381059609 + (3655270400*f[a[1]^2*a[4]]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]*b[3]*c[2]])/847288609443 - 
  (1552793600*f[a[6]]*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[3]*c[2]])/
   94143178827 + (52428800*f[a[1]*a[2]]*f[a[3]*b[1]*c[1]]*
     f[a[1]*b[3]*c[2]])/387420489 - 
  (262144000*f[a[1]^3*a[2]]*f[a[3]*b[1]*c[1]]*f[a[1]*b[3]*c[2]])/
   3486784401 - (2254438400*f[a[2]*a[3]]*f[a[3]*b[1]*c[1]]*
     f[a[1]*b[3]*c[2]])/10460353203 + 
  (209715200*f[a[1]*a[4]]*f[a[3]*b[1]*c[1]]*f[a[1]*b[3]*c[2]])/
   1162261467 + (13107200*f[a[2]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]*b[3]*c[2]])/129140163 + 
  (458752000*f[a[1]^2*a[2]]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*b[3]*c[2]])/
   3486784401 - (1638400000*f[a[1]^4*a[2]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]*b[3]*c[2]])/10460353203 - 
  (7366246400*f[a[2]^3]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*b[3]*c[2]])/
   31381059609 - (104857600*f[a[1]*a[2]*a[3]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]*b[3]*c[2]])/31381059609 + 
  (681574400*f[a[4]]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*b[3]*c[2]])/
   3486784401 + (5714739200*f[a[1]^2*a[4]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]*b[3]*c[2]])/31381059609 - 
  (23029350400*f[a[6]]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*b[3]*c[2]])/
   282429536481 - (819200*f[1]*f[a[4]*b[1]*c[1]]*f[a[1]*b[3]*c[2]])/
   14348907 + (30310400*f[a[1]^2]*f[a[4]*b[1]*c[1]]*f[a[1]*b[3]*c[2]])/
   387420489 - (94208000*f[a[1]^4]*f[a[4]*b[1]*c[1]]*
     f[a[1]*b[3]*c[2]])/1162261467 + 
  (10342400000*f[a[1]^6]*f[a[4]*b[1]*c[1]]*f[a[1]*b[3]*c[2]])/
   94143178827 - (611123200*f[a[2]^2]*f[a[4]*b[1]*c[1]]*
     f[a[1]*b[3]*c[2]])/31381059609 + 
  (9189785600*f[a[1]^2*a[2]^2]*f[a[4]*b[1]*c[1]]*f[a[1]*b[3]*c[2]])/
   847288609443 - (681574400*f[a[1]*a[3]]*f[a[4]*b[1]*c[1]]*
     f[a[1]*b[3]*c[2]])/3486784401 + 
  (52428800*f[a[1]^3*a[3]]*f[a[4]*b[1]*c[1]]*f[a[1]*b[3]*c[2]])/
   387420489 + (4585062400*f[a[3]^2]*f[a[4]*b[1]*c[1]]*
     f[a[1]*b[3]*c[2]])/94143178827 + 
  (77175193600*f[a[2]*a[4]]*f[a[4]*b[1]*c[1]]*f[a[1]*b[3]*c[2]])/
   282429536481 - (192151552000*f[a[1]*a[5]]*f[a[4]*b[1]*c[1]]*
     f[a[1]*b[3]*c[2]])/847288609443 + 
  (143360*f[a[1]]*f[b[2]*c[1]]*f[a[1]*b[3]*c[2]])/531441 - 
  (716800*f[a[1]^3]*f[b[2]*c[1]]*f[a[1]*b[3]*c[2]])/4782969 + 
  (17920000*f[a[1]^5]*f[b[2]*c[1]]*f[a[1]*b[3]*c[2]])/129140163 + 
  (3727360*f[a[1]*a[2]^2]*f[b[2]*c[1]]*f[a[1]*b[3]*c[2]])/129140163 - 
  (143360*f[a[3]]*f[b[2]*c[1]]*f[a[1]*b[3]*c[2]])/4782969 + 
  (3297280*f[a[1]^2*a[3]]*f[b[2]*c[1]]*f[a[1]*b[3]*c[2]])/43046721 + 
  (9318400*f[a[5]]*f[b[2]*c[1]]*f[a[1]*b[3]*c[2]])/387420489 - 
  (2805760*f[a[1]*b[1]*c[1]]*f[b[2]*c[1]]*f[a[1]*b[3]*c[2]])/43046721 + 
  (14028800*f[a[1]^3*b[1]*c[1]]*f[b[2]*c[1]]*f[a[1]*b[3]*c[2]])/
   387420489 + (2805760*f[a[3]*b[1]*c[1]]*f[b[2]*c[1]]*
     f[a[1]*b[3]*c[2]])/387420489 + 
  (143360*f[1]*f[a[1]*b[2]*c[1]]*f[a[1]*b[3]*c[2]])/531441 + 
  (143360*f[a[1]^2]*f[a[1]*b[2]*c[1]]*f[a[1]*b[3]*c[2]])/531441 - 
  (42291200*f[a[1]^4]*f[a[1]*b[2]*c[1]]*f[a[1]*b[3]*c[2]])/129140163 + 
  (1630720000*f[a[1]^6]*f[a[1]*b[2]*c[1]]*f[a[1]*b[3]*c[2]])/
   3486784401 - (62218240*f[a[2]^2]*f[a[1]*b[2]*c[1]]*
     f[a[1]*b[3]*c[2]])/387420489 + 
  (668917760*f[a[1]^2*a[2]^2]*f[a[1]*b[2]*c[1]]*f[a[1]*b[3]*c[2]])/
   10460353203 + (146800640*f[a[1]^3*a[3]]*f[a[1]*b[2]*c[1]]*
     f[a[1]*b[3]*c[2]])/1162261467 - 
  (114257920*f[a[3]^2]*f[a[1]*b[2]*c[1]]*f[a[1]*b[3]*c[2]])/
   3486784401 + (587202560*f[a[2]*a[4]]*f[a[1]*b[2]*c[1]]*
     f[a[1]*b[3]*c[2]])/10460353203 - 
  (2805760*f[b[1]*c[1]]*f[a[1]*b[2]*c[1]]*f[a[1]*b[3]*c[2]])/43046721 - 
  (2805760*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*f[a[1]*b[3]*c[2]])/
   43046721 + (827699200*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*
     f[a[1]*b[3]*c[2]])/10460353203 + 
  (1217699840*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*f[a[1]*b[3]*c[2]])/
   31381059609 + (143360*f[a[1]]*f[a[1]^2*b[2]*c[1]]*
     f[a[1]*b[3]*c[2]])/531441 + 
  (54046720*f[a[1]^3]*f[a[1]^2*b[2]*c[1]]*f[a[1]*b[3]*c[2]])/
   129140163 - (3186176000*f[a[1]^5]*f[a[1]^2*b[2]*c[1]]*
     f[a[1]*b[3]*c[2]])/3486784401 - 
  (872488960*f[a[1]*a[2]^2]*f[a[1]^2*b[2]*c[1]]*f[a[1]*b[3]*c[2]])/
   10460353203 - (143360*f[a[3]]*f[a[1]^2*b[2]*c[1]]*
     f[a[1]*b[3]*c[2]])/4782969 + 
  (15626240*f[a[1]^2*a[3]]*f[a[1]^2*b[2]*c[1]]*f[a[1]*b[3]*c[2]])/
   1162261467 + (9318400*f[a[5]]*f[a[1]^2*b[2]*c[1]]*
     f[a[1]*b[3]*c[2]])/387420489 - 
  (2805760*f[a[1]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*f[a[1]*b[3]*c[2]])/
   43046721 - (1057771520*f[a[1]^3*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*
     f[a[1]*b[3]*c[2]])/10460353203 + 
  (2805760*f[a[3]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*f[a[1]*b[3]*c[2]])/
   387420489 - (716800*f[1]*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[3]*c[2]])/
   4782969 + (54046720*f[a[1]^2]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*b[3]*c[2]])/129140163 + 
  (3129978880*f[a[1]^4]*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[3]*c[2]])/
   3486784401 - (32689664000*f[a[1]^6]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*b[3]*c[2]])/10460353203 + 
  (495165440*f[a[2]^2]*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[3]*c[2]])/
   1162261467 - (129310720*f[a[1]^2*a[2]^2]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*b[3]*c[2]])/3486784401 - 
  (73400320*f[a[1]*a[3]]*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[3]*c[2]])/
   1162261467 + (1247805440*f[a[1]^3*a[3]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*b[3]*c[2]])/31381059609 + 
  (791490560*f[a[3]^2]*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[3]*c[2]])/
   31381059609 - (17028874240*f[a[2]*a[4]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*b[3]*c[2]])/94143178827 + 
  (4771020800*f[a[1]*a[5]]*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[3]*c[2]])/
   94143178827 + (14028800*f[b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*b[3]*c[2]])/387420489 - 
  (1057771520*f[a[1]^2*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*b[3]*c[2]])/10460353203 - 
  (61258158080*f[a[1]^4*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*b[3]*c[2]])/282429536481 - 
  (9691095040*f[a[2]^2*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*b[3]*c[2]])/94143178827 + 
  (1436549120*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*b[3]*c[2]])/94143178827 - 
  (73400320*f[a[1]*a[2]]*f[a[2]*b[2]*c[1]]*f[a[1]*b[3]*c[2]])/
   387420489 + (367001600*f[a[1]^3*a[2]]*f[a[2]*b[2]*c[1]]*
     f[a[1]*b[3]*c[2]])/3486784401 + 
  (73400320*f[a[2]*a[3]]*f[a[2]*b[2]*c[1]]*f[a[1]*b[3]*c[2]])/
   387420489 - (293601280*f[a[1]*a[4]]*f[a[2]*b[2]*c[1]]*
     f[a[1]*b[3]*c[2]])/10460353203 + 
  (1436549120*f[a[1]*a[2]*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*
     f[a[1]*b[3]*c[2]])/31381059609 - 
  (73400320*f[a[2]]*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]*b[3]*c[2]])/
   387420489 - (3156213760*f[a[1]^2*a[2]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]*b[3]*c[2]])/10460353203 + 
  (33397145600*f[a[1]^4*a[2]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]*b[3]*c[2]])/94143178827 + 
  (16882073600*f[a[2]^3]*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]*b[3]*c[2]])/
   31381059609 + (1174405120*f[a[1]*a[2]*a[3]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]*b[3]*c[2]])/94143178827 - 
  (293601280*f[a[4]]*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]*b[3]*c[2]])/
   10460353203 + (2055208960*f[a[1]^2*a[4]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]*b[3]*c[2]])/94143178827 + 
  (513802240*f[a[6]]*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]*b[3]*c[2]])/
   31381059609 + (1436549120*f[a[2]*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]*b[3]*c[2]])/31381059609 + 
  (61771612160*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]*b[3]*c[2]])/847288609443 + 
  (5746196480*f[a[4]*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]*b[3]*c[2]])/847288609443 - 
  (143360*f[1]*f[a[3]*b[2]*c[1]]*f[a[1]*b[3]*c[2]])/4782969 - 
  (143360*f[a[1]^2]*f[a[3]*b[2]*c[1]]*f[a[1]*b[3]*c[2]])/4782969 + 
  (42291200*f[a[1]^4]*f[a[3]*b[2]*c[1]]*f[a[1]*b[3]*c[2]])/1162261467 - 
  (1630720000*f[a[1]^6]*f[a[3]*b[2]*c[1]]*f[a[1]*b[3]*c[2]])/
   31381059609 - (123576320*f[a[2]^2]*f[a[3]*b[2]*c[1]]*
     f[a[1]*b[3]*c[2]])/387420489 + 
  (1734369280*f[a[1]^2*a[2]^2]*f[a[3]*b[2]*c[1]]*f[a[1]*b[3]*c[2]])/
   31381059609 + (1468006400*f[a[1]*a[3]]*f[a[3]*b[2]*c[1]]*
     f[a[1]*b[3]*c[2]])/3486784401 - 
  (7780433920*f[a[1]^3*a[3]]*f[a[3]*b[2]*c[1]]*f[a[1]*b[3]*c[2]])/
   31381059609 - (143360*f[a[3]^2]*f[a[3]*b[2]*c[1]]*
     f[a[1]*b[3]*c[2]])/1594323 - 
  (14680064000*f[a[2]*a[4]]*f[a[3]*b[2]*c[1]]*f[a[1]*b[3]*c[2]])/
   94143178827 - (1468006400*f[a[1]*a[5]]*f[a[3]*b[2]*c[1]]*
     f[a[1]*b[3]*c[2]])/94143178827 + 
  (2805760*f[b[1]*c[1]]*f[a[3]*b[2]*c[1]]*f[a[1]*b[3]*c[2]])/
   387420489 + (2805760*f[a[1]^2*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[a[1]*b[3]*c[2]])/387420489 - 
  (827699200*f[a[1]^4*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*f[a[1]*b[3]*c[2]])/
   94143178827 + (2418565120*f[a[2]^2*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[a[1]*b[3]*c[2]])/31381059609 - 
  (28730982400*f[a[1]*a[3]*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[a[1]*b[3]*c[2]])/282429536481 - 
  (778240*f[a[2]]*f[b[3]*c[1]]*f[a[1]*b[3]*c[2]])/4782969 + 
  (3891200*f[a[1]^2*a[2]]*f[b[3]*c[1]]*f[a[1]*b[3]*c[2]])/129140163 - 
  (19456000*f[a[1]^4*a[2]]*f[b[3]*c[1]]*f[a[1]*b[3]*c[2]])/1162261467 - 
  (20234240*f[a[2]^3]*f[b[3]*c[1]]*f[a[1]*b[3]*c[2]])/387420489 - 
  (24903680*f[a[1]*a[2]*a[3]]*f[b[3]*c[1]]*f[a[1]*b[3]*c[2]])/
   1162261467 + (3112960*f[a[4]]*f[b[3]*c[1]]*f[a[1]*b[3]*c[2]])/
   43046721 - (15564800*f[a[1]^2*a[4]]*f[b[3]*c[1]]*f[a[1]*b[3]*c[2]])/
   1162261467 - (19456000*f[a[6]]*f[b[3]*c[1]]*f[a[1]*b[3]*c[2]])/
   387420489 - (10526720*f[a[2]*b[1]*c[1]]*f[b[3]*c[1]]*
     f[a[1]*b[3]*c[2]])/129140163 + 
  (52633600*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[3]*c[1]]*f[a[1]*b[3]*c[2]])/
   3486784401 + (42106880*f[a[4]*b[1]*c[1]]*f[b[3]*c[1]]*
     f[a[1]*b[3]*c[2]])/1162261467 - 
  (32768000*f[a[1]*b[2]*c[1]]*f[b[3]*c[1]]*f[a[1]*b[3]*c[2]])/
   129140163 + (163840000*f[a[1]^3*b[2]*c[1]]*f[b[3]*c[1]]*
     f[a[1]*b[3]*c[2]])/1162261467 + 
  (32768000*f[a[3]*b[2]*c[1]]*f[b[3]*c[1]]*f[a[1]*b[3]*c[2]])/
   1162261467 - (32768000*f[b[2]*c[1]]*f[a[1]*b[3]*c[1]]*
     f[a[1]*b[3]*c[2]])/129140163 - 
  (32768000*f[a[1]^2*b[2]*c[1]]*f[a[1]*b[3]*c[1]]*f[a[1]*b[3]*c[2]])/
   129140163 + (28794880*f[a[2]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]*b[3]*c[2]])/129140163 + 
  (84828160*f[a[1]^2*a[2]]*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[3]*c[2]])/
   1162261467 - (3264716800*f[a[1]^4*a[2]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]*b[3]*c[2]])/31381059609 - 
  (4129341440*f[a[2]^3]*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[3]*c[2]])/
   31381059609 + (174325760*f[a[1]*a[2]*a[3]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]*b[3]*c[2]])/10460353203 - 
  (115179520*f[a[4]]*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[3]*c[2]])/
   1162261467 - (339312640*f[a[1]^2*a[4]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]*b[3]*c[2]])/10460353203 + 
  (719872000*f[a[6]]*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[3]*c[2]])/
   10460353203 + (389488640*f[a[2]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]*b[3]*c[2]])/3486784401 + 
  (1147412480*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]*b[3]*c[2]])/31381059609 - 
  (1557954560*f[a[4]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[3]*c[2]])/
   31381059609 - (32768000*f[a[1]*b[2]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]*b[3]*c[2]])/129140163 - 
  (12353536000*f[a[1]^3*b[2]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]*b[3]*c[2]])/31381059609 + 
  (32768000*f[a[3]*b[2]*c[1]]*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[3]*c[2]])/
   1162261467 + (778240*f[1]*f[a[2]*b[3]*c[1]]*f[a[1]*b[3]*c[2]])/
   4782969 - (28794880*f[a[1]^2]*f[a[2]*b[3]*c[1]]*f[a[1]*b[3]*c[2]])/
   129140163 + (89497600*f[a[1]^4]*f[a[2]*b[3]*c[1]]*
     f[a[1]*b[3]*c[2]])/387420489 - 
  (9825280000*f[a[1]^6]*f[a[2]*b[3]*c[1]]*f[a[1]*b[3]*c[2]])/
   31381059609 + (418693120*f[a[2]^2]*f[a[2]*b[3]*c[1]]*
     f[a[1]*b[3]*c[2]])/1162261467 - 
  (913653760*f[a[1]^2*a[2]^2]*f[a[2]*b[3]*c[1]]*f[a[1]*b[3]*c[2]])/
   10460353203 - (49807360*f[a[1]*a[3]]*f[a[2]*b[3]*c[1]]*
     f[a[1]*b[3]*c[2]])/387420489 - 
  (49807360*f[a[1]^3*a[3]]*f[a[2]*b[3]*c[1]]*f[a[1]*b[3]*c[2]])/
   10460353203 + (425697280*f[a[3]^2]*f[a[2]*b[3]*c[1]]*
     f[a[1]*b[3]*c[2]])/31381059609 - 
  (3187671040*f[a[2]*a[4]]*f[a[2]*b[3]*c[1]]*f[a[1]*b[3]*c[2]])/
   31381059609 + (1245184000*f[a[1]*a[5]]*f[a[2]*b[3]*c[1]]*
     f[a[1]*b[3]*c[2]])/31381059609 + 
  (10526720*f[b[1]*c[1]]*f[a[2]*b[3]*c[1]]*f[a[1]*b[3]*c[2]])/
   129140163 - (389488640*f[a[1]^2*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[a[1]*b[3]*c[2]])/3486784401 + 
  (1210572800*f[a[1]^4*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*f[a[1]*b[3]*c[2]])/
   10460353203 + (5663375360*f[a[2]^2*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[a[1]*b[3]*c[2]])/31381059609 - 
  (673710080*f[a[1]*a[3]*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[a[1]*b[3]*c[2]])/10460353203 + 
  (16777216000*f[a[1]*a[2]*b[2]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[a[1]*b[3]*c[2]])/94143178827 + 
  (1024000*f[a[1]]*f[b[4]*c[1]]*f[a[1]*b[3]*c[2]])/43046721 - 
  (5120000*f[a[1]^3]*f[b[4]*c[1]]*f[a[1]*b[3]*c[2]])/387420489 + 
  (128000000*f[a[1]^5]*f[b[4]*c[1]]*f[a[1]*b[3]*c[2]])/10460353203 + 
  (26624000*f[a[1]*a[2]^2]*f[b[4]*c[1]]*f[a[1]*b[3]*c[2]])/
   10460353203 - (1024000*f[a[3]]*f[b[4]*c[1]]*f[a[1]*b[3]*c[2]])/
   387420489 + (23552000*f[a[1]^2*a[3]]*f[b[4]*c[1]]*
     f[a[1]*b[3]*c[2]])/3486784401 + 
  (66560000*f[a[5]]*f[b[4]*c[1]]*f[a[1]*b[3]*c[2]])/31381059609 + 
  (22323200*f[a[1]*b[1]*c[1]]*f[b[4]*c[1]]*f[a[1]*b[3]*c[2]])/
   387420489 - (111616000*f[a[1]^3*b[1]*c[1]]*f[b[4]*c[1]]*
     f[a[1]*b[3]*c[2]])/3486784401 - 
  (22323200*f[a[3]*b[1]*c[1]]*f[b[4]*c[1]]*f[a[1]*b[3]*c[2]])/
   3486784401 + (2474639360*f[a[2]*b[2]*c[1]]*f[b[4]*c[1]]*
     f[a[1]*b[3]*c[2]])/31381059609 + 
  (201850880*f[a[1]*b[3]*c[1]]*f[b[4]*c[1]]*f[a[1]*b[3]*c[2]])/
   3486784401 + (1024000*f[1]*f[a[1]*b[4]*c[1]]*f[a[1]*b[3]*c[2]])/
   43046721 + (1024000*f[a[1]^2]*f[a[1]*b[4]*c[1]]*f[a[1]*b[3]*c[2]])/
   43046721 - (302080000*f[a[1]^4]*f[a[1]*b[4]*c[1]]*
     f[a[1]*b[3]*c[2]])/10460353203 + 
  (11648000000*f[a[1]^6]*f[a[1]*b[4]*c[1]]*f[a[1]*b[3]*c[2]])/
   282429536481 - (444416000*f[a[2]^2]*f[a[1]*b[4]*c[1]]*
     f[a[1]*b[3]*c[2]])/31381059609 + 
  (4777984000*f[a[1]^2*a[2]^2]*f[a[1]*b[4]*c[1]]*f[a[1]*b[3]*c[2]])/
   847288609443 + (1048576000*f[a[1]^3*a[3]]*f[a[1]*b[4]*c[1]]*
     f[a[1]*b[3]*c[2]])/94143178827 - 
  (816128000*f[a[3]^2]*f[a[1]*b[4]*c[1]]*f[a[1]*b[3]*c[2]])/
   282429536481 + (4194304000*f[a[2]*a[4]]*f[a[1]*b[4]*c[1]]*
     f[a[1]*b[3]*c[2]])/847288609443 + 
  (22323200*f[b[1]*c[1]]*f[a[1]*b[4]*c[1]]*f[a[1]*b[3]*c[2]])/
   387420489 + (22323200*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[a[1]*b[3]*c[2]])/387420489 - 
  (6585344000*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*f[a[1]*b[3]*c[2]])/
   94143178827 - (9688268800*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[a[1]*b[3]*c[2]])/282429536481 + 
  (201850880*f[b[3]*c[1]]*f[a[1]*b[4]*c[1]]*f[a[1]*b[3]*c[2]])/
   3486784401 + (201850880*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[a[1]*b[3]*c[2]])/3486784401 + 
  (8806400*f[a[2]]*f[b[5]*c[1]]*f[a[1]*b[3]*c[2]])/129140163 - 
  (44032000*f[a[1]^2*a[2]]*f[b[5]*c[1]]*f[a[1]*b[3]*c[2]])/3486784401 + 
  (220160000*f[a[1]^4*a[2]]*f[b[5]*c[1]]*f[a[1]*b[3]*c[2]])/
   31381059609 + (228966400*f[a[2]^3]*f[b[5]*c[1]]*f[a[1]*b[3]*c[2]])/
   10460353203 + (281804800*f[a[1]*a[2]*a[3]]*f[b[5]*c[1]]*
     f[a[1]*b[3]*c[2]])/31381059609 - 
  (35225600*f[a[4]]*f[b[5]*c[1]]*f[a[1]*b[3]*c[2]])/1162261467 + 
  (176128000*f[a[1]^2*a[4]]*f[b[5]*c[1]]*f[a[1]*b[3]*c[2]])/
   31381059609 + (220160000*f[a[6]]*f[b[5]*c[1]]*f[a[1]*b[3]*c[2]])/
   10460353203 + (660889600*f[a[2]*b[1]*c[1]]*f[b[5]*c[1]]*
     f[a[1]*b[3]*c[2]])/10460353203 - 
  (3304448000*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[5]*c[1]]*f[a[1]*b[3]*c[2]])/
   282429536481 - (2643558400*f[a[4]*b[1]*c[1]]*f[b[5]*c[1]]*
     f[a[1]*b[3]*c[2]])/94143178827 + 
  (583270400*f[a[1]*b[2]*c[1]]*f[b[5]*c[1]]*f[a[1]*b[3]*c[2]])/
   3486784401 - (2916352000*f[a[1]^3*b[2]*c[1]]*f[b[5]*c[1]]*
     f[a[1]*b[3]*c[2]])/31381059609 - 
  (583270400*f[a[3]*b[2]*c[1]]*f[b[5]*c[1]]*f[a[1]*b[3]*c[2]])/
   31381059609 + (1153433600*f[a[2]*b[3]*c[1]]*f[b[5]*c[1]]*
     f[a[1]*b[3]*c[2]])/31381059609 - 
  (5334630400*f[a[1]*b[4]*c[1]]*f[b[5]*c[1]]*f[a[1]*b[3]*c[2]])/
   282429536481 - (194560*f[a[1]]*f[b[1]*c[2]]*f[a[1]*b[3]*c[2]])/
   531441 + (972800*f[a[1]^3]*f[b[1]*c[2]]*f[a[1]*b[3]*c[2]])/4782969 - 
  (24320000*f[a[1]^5]*f[b[1]*c[2]]*f[a[1]*b[3]*c[2]])/129140163 - 
  (5058560*f[a[1]*a[2]^2]*f[b[1]*c[2]]*f[a[1]*b[3]*c[2]])/129140163 + 
  (194560*f[a[3]]*f[b[1]*c[2]]*f[a[1]*b[3]*c[2]])/4782969 - 
  (4474880*f[a[1]^2*a[3]]*f[b[1]*c[2]]*f[a[1]*b[3]*c[2]])/43046721 - 
  (12646400*f[a[5]]*f[b[1]*c[2]]*f[a[1]*b[3]*c[2]])/387420489 - 
  (13137920*f[a[1]*b[1]*c[1]]*f[b[1]*c[2]]*f[a[1]*b[3]*c[2]])/
   43046721 + (65689600*f[a[1]^3*b[1]*c[1]]*f[b[1]*c[2]]*
     f[a[1]*b[3]*c[2]])/387420489 + 
  (13137920*f[a[3]*b[1]*c[1]]*f[b[1]*c[2]]*f[a[1]*b[3]*c[2]])/
   387420489 - (29360128*f[a[2]*b[2]*c[1]]*f[b[1]*c[2]]*
     f[a[1]*b[3]*c[2]])/387420489 - 
  (9961472*f[a[1]*b[3]*c[1]]*f[b[1]*c[2]]*f[a[1]*b[3]*c[2]])/
   129140163 - (194560*f[1]*f[a[1]*b[1]*c[2]]*f[a[1]*b[3]*c[2]])/
   531441 - (194560*f[a[1]^2]*f[a[1]*b[1]*c[2]]*f[a[1]*b[3]*c[2]])/
   531441 + (57395200*f[a[1]^4]*f[a[1]*b[1]*c[2]]*f[a[1]*b[3]*c[2]])/
   129140163 - (2213120000*f[a[1]^6]*f[a[1]*b[1]*c[2]]*
     f[a[1]*b[3]*c[2]])/3486784401 + 
  (84439040*f[a[2]^2]*f[a[1]*b[1]*c[2]]*f[a[1]*b[3]*c[2]])/387420489 - 
  (907816960*f[a[1]^2*a[2]^2]*f[a[1]*b[1]*c[2]]*f[a[1]*b[3]*c[2]])/
   10460353203 - (199229440*f[a[1]^3*a[3]]*f[a[1]*b[1]*c[2]]*
     f[a[1]*b[3]*c[2]])/1162261467 + 
  (155064320*f[a[3]^2]*f[a[1]*b[1]*c[2]]*f[a[1]*b[3]*c[2]])/
   3486784401 - (796917760*f[a[2]*a[4]]*f[a[1]*b[1]*c[2]]*
     f[a[1]*b[3]*c[2]])/10460353203 - 
  (13137920*f[b[1]*c[1]]*f[a[1]*b[1]*c[2]]*f[a[1]*b[3]*c[2]])/
   43046721 - (13137920*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[a[1]*b[3]*c[2]])/43046721 + 
  (3875686400*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[1]*c[2]]*f[a[1]*b[3]*c[2]])/
   10460353203 + (5701857280*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[a[1]*b[3]*c[2]])/31381059609 - 
  (9961472*f[b[3]*c[1]]*f[a[1]*b[1]*c[2]]*f[a[1]*b[3]*c[2]])/
   129140163 - (9961472*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[a[1]*b[3]*c[2]])/129140163 - 
  (238551040*f[b[5]*c[1]]*f[a[1]*b[1]*c[2]]*f[a[1]*b[3]*c[2]])/
   10460353203 - (194560*f[a[1]]*f[a[1]^2*b[1]*c[2]]*
     f[a[1]*b[3]*c[2]])/531441 - 
  (73349120*f[a[1]^3]*f[a[1]^2*b[1]*c[2]]*f[a[1]*b[3]*c[2]])/
   129140163 + (4324096000*f[a[1]^5]*f[a[1]^2*b[1]*c[2]]*
     f[a[1]*b[3]*c[2]])/3486784401 + 
  (1184092160*f[a[1]*a[2]^2]*f[a[1]^2*b[1]*c[2]]*f[a[1]*b[3]*c[2]])/
   10460353203 + (194560*f[a[3]]*f[a[1]^2*b[1]*c[2]]*
     f[a[1]*b[3]*c[2]])/4782969 - 
  (21207040*f[a[1]^2*a[3]]*f[a[1]^2*b[1]*c[2]]*f[a[1]*b[3]*c[2]])/
   1162261467 - (12646400*f[a[5]]*f[a[1]^2*b[1]*c[2]]*
     f[a[1]*b[3]*c[2]])/387420489 - 
  (13137920*f[a[1]*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]]*f[a[1]*b[3]*c[2]])/
   43046721 - (4952995840*f[a[1]^3*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]]*
     f[a[1]*b[3]*c[2]])/10460353203 + 
  (13137920*f[a[3]*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]]*f[a[1]*b[3]*c[2]])/
   387420489 + (1086324736*f[a[2]*b[2]*c[1]]*f[a[1]^2*b[1]*c[2]]*
     f[a[1]*b[3]*c[2]])/10460353203 - 
  (9961472*f[a[1]*b[3]*c[1]]*f[a[1]^2*b[1]*c[2]]*f[a[1]*b[3]*c[2]])/
   129140163 + (972800*f[1]*f[a[1]^3*b[1]*c[2]]*f[a[1]*b[3]*c[2]])/
   4782969 - (73349120*f[a[1]^2]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]*b[3]*c[2]])/129140163 - 
  (4247828480*f[a[1]^4]*f[a[1]^3*b[1]*c[2]]*f[a[1]*b[3]*c[2]])/
   3486784401 + (44364544000*f[a[1]^6]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]*b[3]*c[2]])/10460353203 - 
  (672010240*f[a[2]^2]*f[a[1]^3*b[1]*c[2]]*f[a[1]*b[3]*c[2]])/
   1162261467 + (175493120*f[a[1]^2*a[2]^2]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]*b[3]*c[2]])/3486784401 + 
  (99614720*f[a[1]*a[3]]*f[a[1]^3*b[1]*c[2]]*f[a[1]*b[3]*c[2]])/
   1162261467 - (1693450240*f[a[1]^3*a[3]]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]*b[3]*c[2]])/31381059609 - 
  (1074165760*f[a[3]^2]*f[a[1]^3*b[1]*c[2]]*f[a[1]*b[3]*c[2]])/
   31381059609 + (23110615040*f[a[2]*a[4]]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]*b[3]*c[2]])/94143178827 - 
  (6474956800*f[a[1]*a[5]]*f[a[1]^3*b[1]*c[2]]*f[a[1]*b[3]*c[2]])/
   94143178827 + (65689600*f[b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]*b[3]*c[2]])/387420489 - 
  (4952995840*f[a[1]^2*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]*b[3]*c[2]])/10460353203 - 
  (286840207360*f[a[1]^4*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]*b[3]*c[2]])/282429536481 - 
  (45378375680*f[a[2]^2*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]*b[3]*c[2]])/94143178827 + 
  (6726615040*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]*b[3]*c[2]])/94143178827 + 
  (15032385536*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]*b[3]*c[2]])/94143178827 + 
  (49807360*f[b[3]*c[1]]*f[a[1]^3*b[1]*c[2]]*f[a[1]*b[3]*c[2]])/
   1162261467 - (3755474944*f[a[1]^2*b[3]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]*b[3]*c[2]])/31381059609 + 
  (1192755200*f[b[5]*c[1]]*f[a[1]^3*b[1]*c[2]]*f[a[1]*b[3]*c[2]])/
   94143178827 + (99614720*f[a[1]*a[2]]*f[a[2]*b[1]*c[2]]*
     f[a[1]*b[3]*c[2]])/387420489 - 
  (498073600*f[a[1]^3*a[2]]*f[a[2]*b[1]*c[2]]*f[a[1]*b[3]*c[2]])/
   3486784401 - (99614720*f[a[2]*a[3]]*f[a[2]*b[1]*c[2]]*
     f[a[1]*b[3]*c[2]])/387420489 + 
  (398458880*f[a[1]*a[4]]*f[a[2]*b[1]*c[2]]*f[a[1]*b[3]*c[2]])/
   10460353203 + (6726615040*f[a[1]*a[2]*b[1]*c[1]]*f[a[2]*b[1]*c[2]]*
     f[a[1]*b[3]*c[2]])/31381059609 + 
  (29360128*f[b[2]*c[1]]*f[a[2]*b[1]*c[2]]*f[a[1]*b[3]*c[2]])/
   387420489 - (1086324736*f[a[1]^2*b[2]*c[1]]*f[a[2]*b[1]*c[2]]*
     f[a[1]*b[3]*c[2]])/10460353203 + 
  (209715200*f[b[4]*c[1]]*f[a[2]*b[1]*c[2]]*f[a[1]*b[3]*c[2]])/
   31381059609 + (99614720*f[a[2]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[1]*b[3]*c[2]])/387420489 + 
  (4283432960*f[a[1]^2*a[2]]*f[a[1]*a[2]*b[1]*c[2]]*f[a[1]*b[3]*c[2]])/
   10460353203 - (45324697600*f[a[1]^4*a[2]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[1]*b[3]*c[2]])/94143178827 - 
  (22911385600*f[a[2]^3]*f[a[1]*a[2]*b[1]*c[2]]*f[a[1]*b[3]*c[2]])/
   31381059609 - (1593835520*f[a[1]*a[2]*a[3]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[1]*b[3]*c[2]])/94143178827 + 
  (398458880*f[a[4]]*f[a[1]*a[2]*b[1]*c[2]]*f[a[1]*b[3]*c[2]])/
   10460353203 - (2789212160*f[a[1]^2*a[4]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[1]*b[3]*c[2]])/94143178827 - 
  (697303040*f[a[6]]*f[a[1]*a[2]*b[1]*c[2]]*f[a[1]*b[3]*c[2]])/
   31381059609 + (6726615040*f[a[2]*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[1]*b[3]*c[2]])/31381059609 + 
  (289244446720*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[1]*b[3]*c[2]])/847288609443 + 
  (26906460160*f[a[4]*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[1]*b[3]*c[2]])/847288609443 - 
  (15032385536*f[a[1]^3*b[2]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[1]*b[3]*c[2]])/94143178827 - 
  (7516192768*f[a[3]*b[2]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[1]*b[3]*c[2]])/94143178827 + 
  (5100273664*f[a[2]*b[3]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[1]*b[3]*c[2]])/94143178827 + 
  (194560*f[1]*f[a[3]*b[1]*c[2]]*f[a[1]*b[3]*c[2]])/4782969 + 
  (194560*f[a[1]^2]*f[a[3]*b[1]*c[2]]*f[a[1]*b[3]*c[2]])/4782969 - 
  (57395200*f[a[1]^4]*f[a[3]*b[1]*c[2]]*f[a[1]*b[3]*c[2]])/1162261467 + 
  (2213120000*f[a[1]^6]*f[a[3]*b[1]*c[2]]*f[a[1]*b[3]*c[2]])/
   31381059609 + (167710720*f[a[2]^2]*f[a[3]*b[1]*c[2]]*
     f[a[1]*b[3]*c[2]])/387420489 - 
  (2353786880*f[a[1]^2*a[2]^2]*f[a[3]*b[1]*c[2]]*f[a[1]*b[3]*c[2]])/
   31381059609 - (1992294400*f[a[1]*a[3]]*f[a[3]*b[1]*c[2]]*
     f[a[1]*b[3]*c[2]])/3486784401 + 
  (10559160320*f[a[1]^3*a[3]]*f[a[3]*b[1]*c[2]]*f[a[1]*b[3]*c[2]])/
   31381059609 + (194560*f[a[3]^2]*f[a[3]*b[1]*c[2]]*
     f[a[1]*b[3]*c[2]])/1594323 + 
  (19922944000*f[a[2]*a[4]]*f[a[3]*b[1]*c[2]]*f[a[1]*b[3]*c[2]])/
   94143178827 + (1992294400*f[a[1]*a[5]]*f[a[3]*b[1]*c[2]]*
     f[a[1]*b[3]*c[2]])/94143178827 + 
  (13137920*f[b[1]*c[1]]*f[a[3]*b[1]*c[2]]*f[a[1]*b[3]*c[2]])/
   387420489 + (13137920*f[a[1]^2*b[1]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[a[1]*b[3]*c[2]])/387420489 - 
  (3875686400*f[a[1]^4*b[1]*c[1]]*f[a[3]*b[1]*c[2]]*f[a[1]*b[3]*c[2]])/
   94143178827 + (11324887040*f[a[2]^2*b[1]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[a[1]*b[3]*c[2]])/31381059609 - 
  (134532300800*f[a[1]*a[3]*b[1]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[a[1]*b[3]*c[2]])/282429536481 + 
  (7516192768*f[a[1]*a[2]*b[2]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[a[1]*b[3]*c[2]])/94143178827 + 
  (9961472*f[b[3]*c[1]]*f[a[3]*b[1]*c[2]]*f[a[1]*b[3]*c[2]])/
   1162261467 + (9961472*f[a[1]^2*b[3]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[a[1]*b[3]*c[2]])/1162261467 + 
  (238551040*f[b[5]*c[1]]*f[a[3]*b[1]*c[2]]*f[a[1]*b[3]*c[2]])/
   94143178827 - (2179072*f[a[2]]*f[b[2]*c[2]]*f[a[1]*b[3]*c[2]])/
   4782969 + (10895360*f[a[1]^2*a[2]]*f[b[2]*c[2]]*f[a[1]*b[3]*c[2]])/
   129140163 - (54476800*f[a[1]^4*a[2]]*f[b[2]*c[2]]*
     f[a[1]*b[3]*c[2]])/1162261467 - 
  (56655872*f[a[2]^3]*f[b[2]*c[2]]*f[a[1]*b[3]*c[2]])/387420489 - 
  (69730304*f[a[1]*a[2]*a[3]]*f[b[2]*c[2]]*f[a[1]*b[3]*c[2]])/
   1162261467 + (8716288*f[a[4]]*f[b[2]*c[2]]*f[a[1]*b[3]*c[2]])/
   43046721 - (43581440*f[a[1]^2*a[4]]*f[b[2]*c[2]]*f[a[1]*b[3]*c[2]])/
   1162261467 - (54476800*f[a[6]]*f[b[2]*c[2]]*f[a[1]*b[3]*c[2]])/
   387420489 - (36478976*f[a[2]*b[1]*c[1]]*f[b[2]*c[2]]*
     f[a[1]*b[3]*c[2]])/387420489 + 
  (182394880*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[2]*c[2]]*f[a[1]*b[3]*c[2]])/
   10460353203 + (145915904*f[a[4]*b[1]*c[1]]*f[b[2]*c[2]]*
     f[a[1]*b[3]*c[2]])/3486784401 + 
  (56913920*f[a[1]*b[2]*c[1]]*f[b[2]*c[2]]*f[a[1]*b[3]*c[2]])/
   129140163 - (284569600*f[a[1]^3*b[2]*c[1]]*f[b[2]*c[2]]*
     f[a[1]*b[3]*c[2]])/1162261467 - 
  (56913920*f[a[3]*b[2]*c[1]]*f[b[2]*c[2]]*f[a[1]*b[3]*c[2]])/
   1162261467 + (308961280*f[a[2]*b[3]*c[1]]*f[b[2]*c[2]]*
     f[a[1]*b[3]*c[2]])/1162261467 + 
  (406528000*f[a[1]*b[4]*c[1]]*f[b[2]*c[2]]*f[a[1]*b[3]*c[2]])/
   10460353203 + (194560*f[a[1]*b[1]*c[2]]*f[b[2]*c[2]]*
     f[a[1]*b[3]*c[2]])/531441 - 
  (972800*f[a[1]^3*b[1]*c[2]]*f[b[2]*c[2]]*f[a[1]*b[3]*c[2]])/4782969 - 
  (194560*f[a[3]*b[1]*c[2]]*f[b[2]*c[2]]*f[a[1]*b[3]*c[2]])/4782969 + 
  (56913920*f[b[2]*c[1]]*f[a[1]*b[2]*c[2]]*f[a[1]*b[3]*c[2]])/
   129140163 + (56913920*f[a[1]^2*b[2]*c[1]]*f[a[1]*b[2]*c[2]]*
     f[a[1]*b[3]*c[2]])/129140163 + 
  (406528000*f[b[4]*c[1]]*f[a[1]*b[2]*c[2]]*f[a[1]*b[3]*c[2]])/
   10460353203 + (194560*f[b[1]*c[2]]*f[a[1]*b[2]*c[2]]*
     f[a[1]*b[3]*c[2]])/531441 + 
  (194560*f[a[1]^2*b[1]*c[2]]*f[a[1]*b[2]*c[2]]*f[a[1]*b[3]*c[2]])/
   531441 + (80625664*f[a[2]]*f[a[1]^2*b[2]*c[2]]*f[a[1]*b[3]*c[2]])/
   129140163 + (237518848*f[a[1]^2*a[2]]*f[a[1]^2*b[2]*c[2]]*
     f[a[1]*b[3]*c[2]])/1162261467 - 
  (9141207040*f[a[1]^4*a[2]]*f[a[1]^2*b[2]*c[2]]*f[a[1]*b[3]*c[2]])/
   31381059609 - (11562156032*f[a[2]^3]*f[a[1]^2*b[2]*c[2]]*
     f[a[1]*b[3]*c[2]])/31381059609 + 
  (488112128*f[a[1]*a[2]*a[3]]*f[a[1]^2*b[2]*c[2]]*f[a[1]*b[3]*c[2]])/
   10460353203 - (322502656*f[a[4]]*f[a[1]^2*b[2]*c[2]]*
     f[a[1]*b[3]*c[2]])/1162261467 - 
  (950075392*f[a[1]^2*a[4]]*f[a[1]^2*b[2]*c[2]]*f[a[1]*b[3]*c[2]])/
   10460353203 + (2015641600*f[a[6]]*f[a[1]^2*b[2]*c[2]]*
     f[a[1]*b[3]*c[2]])/10460353203 + 
  (1349722112*f[a[2]*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]]*f[a[1]*b[3]*c[2]])/
   10460353203 + (3976208384*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[2]]*f[a[1]*b[3]*c[2]])/94143178827 - 
  (5398888448*f[a[4]*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]]*f[a[1]*b[3]*c[2]])/
   94143178827 + (56913920*f[a[1]*b[2]*c[1]]*f[a[1]^2*b[2]*c[2]]*
     f[a[1]*b[3]*c[2]])/129140163 + 
  (21456547840*f[a[1]^3*b[2]*c[1]]*f[a[1]^2*b[2]*c[2]]*
     f[a[1]*b[3]*c[2]])/31381059609 - 
  (56913920*f[a[3]*b[2]*c[1]]*f[a[1]^2*b[2]*c[2]]*f[a[1]*b[3]*c[2]])/
   1162261467 - (11431567360*f[a[2]*b[3]*c[1]]*f[a[1]^2*b[2]*c[2]]*
     f[a[1]*b[3]*c[2]])/31381059609 + 
  (406528000*f[a[1]*b[4]*c[1]]*f[a[1]^2*b[2]*c[2]]*f[a[1]*b[3]*c[2]])/
   10460353203 + (194560*f[a[1]*b[1]*c[2]]*f[a[1]^2*b[2]*c[2]]*
     f[a[1]*b[3]*c[2]])/531441 + 
  (73349120*f[a[1]^3*b[1]*c[2]]*f[a[1]^2*b[2]*c[2]]*f[a[1]*b[3]*c[2]])/
   129140163 - (194560*f[a[3]*b[1]*c[2]]*f[a[1]^2*b[2]*c[2]]*
     f[a[1]*b[3]*c[2]])/4782969 + 
  (2179072*f[1]*f[a[2]*b[2]*c[2]]*f[a[1]*b[3]*c[2]])/4782969 - 
  (80625664*f[a[1]^2]*f[a[2]*b[2]*c[2]]*f[a[1]*b[3]*c[2]])/129140163 + 
  (250593280*f[a[1]^4]*f[a[2]*b[2]*c[2]]*f[a[1]*b[3]*c[2]])/387420489 - 
  (27510784000*f[a[1]^6]*f[a[2]*b[2]*c[2]]*f[a[1]*b[3]*c[2]])/
   31381059609 + (1172340736*f[a[2]^2]*f[a[2]*b[2]*c[2]]*
     f[a[1]*b[3]*c[2]])/1162261467 - 
  (2558230528*f[a[1]^2*a[2]^2]*f[a[2]*b[2]*c[2]]*f[a[1]*b[3]*c[2]])/
   10460353203 - (139460608*f[a[1]*a[3]]*f[a[2]*b[2]*c[2]]*
     f[a[1]*b[3]*c[2]])/387420489 - 
  (139460608*f[a[1]^3*a[3]]*f[a[2]*b[2]*c[2]]*f[a[1]*b[3]*c[2]])/
   10460353203 + (1191952384*f[a[3]^2]*f[a[2]*b[2]*c[2]]*
     f[a[1]*b[3]*c[2]])/31381059609 - 
  (8925478912*f[a[2]*a[4]]*f[a[2]*b[2]*c[2]]*f[a[1]*b[3]*c[2]])/
   31381059609 + (3486515200*f[a[1]*a[5]]*f[a[2]*b[2]*c[2]]*
     f[a[1]*b[3]*c[2]])/31381059609 + 
  (36478976*f[b[1]*c[1]]*f[a[2]*b[2]*c[2]]*f[a[1]*b[3]*c[2]])/
   387420489 - (1349722112*f[a[1]^2*b[1]*c[1]]*f[a[2]*b[2]*c[2]]*
     f[a[1]*b[3]*c[2]])/10460353203 + 
  (4195082240*f[a[1]^4*b[1]*c[1]]*f[a[2]*b[2]*c[2]]*f[a[1]*b[3]*c[2]])/
   31381059609 + (19625689088*f[a[2]^2*b[1]*c[1]]*f[a[2]*b[2]*c[2]]*
     f[a[1]*b[3]*c[2]])/94143178827 - 
  (2334654464*f[a[1]*a[3]*b[1]*c[1]]*f[a[2]*b[2]*c[2]]*
     f[a[1]*b[3]*c[2]])/31381059609 - 
  (29139927040*f[a[1]*a[2]*b[2]*c[1]]*f[a[2]*b[2]*c[2]]*
     f[a[1]*b[3]*c[2]])/94143178827 - 
  (308961280*f[b[3]*c[1]]*f[a[2]*b[2]*c[2]]*f[a[1]*b[3]*c[2]])/
   1162261467 + (11431567360*f[a[1]^2*b[3]*c[1]]*f[a[2]*b[2]*c[2]]*
     f[a[1]*b[3]*c[2]])/31381059609 + 
  (16947650560*f[b[5]*c[1]]*f[a[2]*b[2]*c[2]]*f[a[1]*b[3]*c[2]])/
   94143178827 - (99614720*f[a[1]*a[2]*b[1]*c[2]]*f[a[2]*b[2]*c[2]]*
     f[a[1]*b[3]*c[2]])/387420489 + 
  (739328*f[a[1]]*f[b[3]*c[2]]*f[a[1]*b[3]*c[2]])/1594323 - 
  (3696640*f[a[1]^3]*f[b[3]*c[2]]*f[a[1]*b[3]*c[2]])/14348907 + 
  (92416000*f[a[1]^5]*f[b[3]*c[2]]*f[a[1]*b[3]*c[2]])/387420489 + 
  (19222528*f[a[1]*a[2]^2]*f[b[3]*c[2]]*f[a[1]*b[3]*c[2]])/387420489 - 
  (739328*f[a[3]]*f[b[3]*c[2]]*f[a[1]*b[3]*c[2]])/14348907 + 
  (17004544*f[a[1]^2*a[3]]*f[b[3]*c[2]]*f[a[1]*b[3]*c[2]])/129140163 + 
  (48056320*f[a[5]]*f[b[3]*c[2]]*f[a[1]*b[3]*c[2]])/1162261467 + 
  (39962624*f[a[1]*b[1]*c[1]]*f[b[3]*c[2]]*f[a[1]*b[3]*c[2]])/
   129140163 - (199813120*f[a[1]^3*b[1]*c[1]]*f[b[3]*c[2]]*
     f[a[1]*b[3]*c[2]])/1162261467 - 
  (39962624*f[a[3]*b[1]*c[1]]*f[b[3]*c[2]]*f[a[1]*b[3]*c[2]])/
   1162261467 - (739328*f[a[1]*b[2]*c[2]]*f[b[3]*c[2]]*
     f[a[1]*b[3]*c[2]])/1594323 + 
  (369664*f[1]*f[a[1]*b[3]*c[2]]^2)/1594323 + 
  (369664*f[a[1]^2]*f[a[1]*b[3]*c[2]]^2)/1594323 - 
  (109050880*f[a[1]^4]*f[a[1]*b[3]*c[2]]^2)/387420489 + 
  (4204928000*f[a[1]^6]*f[a[1]*b[3]*c[2]]^2)/10460353203 - 
  (160434176*f[a[2]^2]*f[a[1]*b[3]*c[2]]^2)/1162261467 + 
  (1724852224*f[a[1]^2*a[2]^2]*f[a[1]*b[3]*c[2]]^2)/31381059609 + 
  (378535936*f[a[1]^3*a[3]]*f[a[1]*b[3]*c[2]]^2)/3486784401 - 
  (294622208*f[a[3]^2]*f[a[1]*b[3]*c[2]]^2)/10460353203 + 
  (1514143744*f[a[2]*a[4]]*f[a[1]*b[3]*c[2]]^2)/31381059609 + 
  (19981312*f[b[1]*c[1]]*f[a[1]*b[3]*c[2]]^2)/129140163 + 
  (19981312*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[3]*c[2]]^2)/129140163 - 
  (5894487040*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[3]*c[2]]^2)/31381059609 - 
  (8671889408*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[3]*c[2]]^2)/94143178827 + 
  (1095761920*f[b[5]*c[1]]*f[a[1]*b[3]*c[2]]^2)/31381059609 - 
  (369664*f[b[2]*c[2]]*f[a[1]*b[3]*c[2]]^2)/1594323 - 
  (369664*f[a[1]^2*b[2]*c[2]]*f[a[1]*b[3]*c[2]]^2)/1594323 + 
  (1600*f[1]^2*f[b[4]*c[2]])/6561 + 
  (25600*f[a[1]]^2*f[b[4]*c[2]])/177147 - 
  (16000*f[1]*f[a[1]^2]*f[b[4]*c[2]])/177147 + 
  (286400*f[a[1]^2]^2*f[b[4]*c[2]])/1594323 - 
  (256000*f[a[1]]*f[a[1]^3]*f[b[4]*c[2]])/1594323 + 
  (15027200*f[a[1]^3]^2*f[b[4]*c[2]])/43046721 + 
  (80000*f[1]*f[a[1]^4]*f[b[4]*c[2]])/1594323 - 
  (16784000*f[a[1]^2]*f[a[1]^4]*f[b[4]*c[2]])/43046721 + 
  (1087620800*f[a[1]^4]^2*f[b[4]*c[2]])/1162261467 + 
  (6400000*f[a[1]]*f[a[1]^5]*f[b[4]*c[2]])/43046721 - 
  (1406720000*f[a[1]^3]*f[a[1]^5]*f[b[4]*c[2]])/1162261467 + 
  (33692288000*f[a[1]^5]^2*f[b[4]*c[2]])/10460353203 - 
  (2000000*f[1]*f[a[1]^6]*f[b[4]*c[2]])/43046721 + 
  (624400000*f[a[1]^2]*f[a[1]^6]*f[b[4]*c[2]])/1162261467 - 
  (5348560000*f[a[1]^4]*f[a[1]^6]*f[b[4]*c[2]])/1162261467 + 
  (1278724216000*f[a[1]^6]^2*f[b[4]*c[2]])/94143178827 - 
  (409600*f[a[2]]^2*f[b[4]*c[2]])/1594323 - 
  (26214400*f[a[1]*a[2]]^2*f[b[4]*c[2]])/129140163 + 
  (4096000*f[a[2]]*f[a[1]^2*a[2]]*f[b[4]*c[2]])/43046721 - 
  (1079296000*f[a[1]^2*a[2]]^2*f[b[4]*c[2]])/3486784401 + 
  (262144000*f[a[1]*a[2]]*f[a[1]^3*a[2]]*f[b[4]*c[2]])/1162261467 - 
  (7366246400*f[a[1]^3*a[2]]^2*f[b[4]*c[2]])/10460353203 - 
  (20480000*f[a[2]]*f[a[1]^4*a[2]]*f[b[4]*c[2]])/387420489 + 
  (21278720000*f[a[1]^2*a[2]]*f[a[1]^4*a[2]]*f[b[4]*c[2]])/
   31381059609 - (1820115353600*f[a[1]^4*a[2]]^2*f[b[4]*c[2]])/
   847288609443 + (83200*f[1]*f[a[2]^2]*f[b[4]*c[2]])/1594323 + 
  (24966400*f[a[1]^2]*f[a[2]^2]*f[b[4]*c[2]])/129140163 - 
  (255904000*f[a[1]^4]*f[a[2]^2]*f[b[4]*c[2]])/1162261467 + 
  (3224800000*f[a[1]^6]*f[a[2]^2]*f[b[4]*c[2]])/10460353203 + 
  (70265600*f[a[2]^2]^2*f[b[4]*c[2]])/129140163 + 
  (1331200*f[a[1]]*f[a[1]*a[2]^2]*f[b[4]*c[2]])/43046721 + 
  (399462400*f[a[1]^3]*f[a[1]*a[2]^2]*f[b[4]*c[2]])/1162261467 - 
  (20472320000*f[a[1]^5]*f[a[1]*a[2]^2]*f[b[4]*c[2]])/31381059609 + 
  (16829132800*f[a[1]*a[2]^2]^2*f[b[4]*c[2]])/31381059609 - 
  (416000*f[1]*f[a[1]^2*a[2]^2]*f[b[4]*c[2]])/43046721 + 
  (2963200*f[a[1]^2]*f[a[1]^2*a[2]^2]*f[b[4]*c[2]])/3486784401 + 
  (2982790400*f[a[1]^4]*f[a[1]^2*a[2]^2]*f[b[4]*c[2]])/3486784401 - 
  (223746080000*f[a[1]^6]*f[a[1]^2*a[2]^2]*f[b[4]*c[2]])/94143178827 - 
  (5642329600*f[a[2]^2]*f[a[1]^2*a[2]^2]*f[b[4]*c[2]])/31381059609 + 
  (2404421689600*f[a[1]^2*a[2]^2]^2*f[b[4]*c[2]])/2541865828329 - 
  (21299200*f[a[2]]*f[a[2]^3]*f[b[4]*c[2]])/129140163 - 
  (6391398400*f[a[1]^2*a[2]]*f[a[2]^3]*f[b[4]*c[2]])/10460353203 + 
  (65511424000*f[a[1]^4*a[2]]*f[a[2]^3]*f[b[4]*c[2]])/94143178827 - 
  (54517760000*f[a[2]^3]^2*f[b[4]*c[2]])/31381059609 - 
  (51200*f[a[1]]*f[a[3]]*f[b[4]*c[2]])/1594323 + 
  (256000*f[a[1]^3]*f[a[3]]*f[b[4]*c[2]])/14348907 - 
  (6400000*f[a[1]^5]*f[a[3]]*f[b[4]*c[2]])/387420489 - 
  (1331200*f[a[1]*a[2]^2]*f[a[3]]*f[b[4]*c[2]])/387420489 + 
  (16460800*f[a[3]]^2*f[b[4]*c[2]])/43046721 + 
  (102400*f[1]*f[a[1]*a[3]]*f[b[4]*c[2]])/1594323 - 
  (716800*f[a[1]^2]*f[a[1]*a[3]]*f[b[4]*c[2]])/14348907 + 
  (18944000*f[a[1]^4]*f[a[1]*a[3]]*f[b[4]*c[2]])/387420489 - 
  (678400000*f[a[1]^6]*f[a[1]*a[3]]*f[b[4]*c[2]])/10460353203 + 
  (133734400*f[a[2]^2]*f[a[1]*a[3]]*f[b[4]*c[2]])/387420489 - 
  (711270400*f[a[1]^2*a[2]^2]*f[a[1]*a[3]]*f[b[4]*c[2]])/10460353203 + 
  (269516800*f[a[1]*a[3]]^2*f[b[4]*c[2]])/1162261467 + 
  (1177600*f[a[1]]*f[a[1]^2*a[3]]*f[b[4]*c[2]])/14348907 - 
  (43878400*f[a[1]^3]*f[a[1]^2*a[3]]*f[b[4]*c[2]])/387420489 + 
  (1752320000*f[a[1]^5]*f[a[1]^2*a[3]]*f[b[4]*c[2]])/10460353203 + 
  (12439040000*f[a[1]*a[2]^2]*f[a[1]^2*a[3]]*f[b[4]*c[2]])/
   31381059609 - (174438400*f[a[3]]*f[a[1]^2*a[3]]*f[b[4]*c[2]])/
   1162261467 + (3093939200*f[a[1]^2*a[3]]^2*f[b[4]*c[2]])/10460353203 - 
  (512000*f[1]*f[a[1]^3*a[3]]*f[b[4]*c[2]])/14348907 + 
  (63180800*f[a[1]^2]*f[a[1]^3*a[3]]*f[b[4]*c[2]])/387420489 - 
  (3534745600*f[a[1]^4]*f[a[1]^3*a[3]]*f[b[4]*c[2]])/10460353203 + 
  (7221760000*f[a[1]^6]*f[a[1]^3*a[3]]*f[b[4]*c[2]])/10460353203 - 
  (1167155200*f[a[2]^2]*f[a[1]^3*a[3]]*f[b[4]*c[2]])/10460353203 + 
  (66156339200*f[a[1]^2*a[2]^2]*f[a[1]^3*a[3]]*f[b[4]*c[2]])/
   94143178827 - (2852454400*f[a[1]*a[3]]*f[a[1]^3*a[3]]*f[b[4]*c[2]])/
   10460353203 + (166857113600*f[a[1]^3*a[3]]^2*f[b[4]*c[2]])/
   282429536481 - (52428800*f[a[1]*a[2]]*f[a[2]*a[3]]*f[b[4]*c[2]])/
   387420489 + (262144000*f[a[1]^3*a[2]]*f[a[2]*a[3]]*f[b[4]*c[2]])/
   3486784401 - (5688524800*f[a[2]*a[3]]^2*f[b[4]*c[2]])/10460353203 - 
  (26214400*f[a[2]]*f[a[1]*a[2]*a[3]]*f[b[4]*c[2]])/387420489 - 
  (4220518400*f[a[1]^2*a[2]]*f[a[1]*a[2]*a[3]]*f[b[4]*c[2]])/
   31381059609 + (44171264000*f[a[1]^4*a[2]]*f[a[1]*a[2]*a[3]]*
     f[b[4]*c[2]])/282429536481 - 
  (34236006400*f[a[2]^3]*f[a[1]*a[2]*a[3]]*f[b[4]*c[2]])/31381059609 - 
  (335754035200*f[a[1]*a[2]*a[3]]^2*f[b[4]*c[2]])/847288609443 - 
  (2857600*f[1]*f[a[3]^2]*f[b[4]*c[2]])/43046721 + 
  (19203200*f[a[1]^2]*f[a[3]^2]*f[b[4]*c[2]])/1162261467 - 
  (120592000*f[a[1]^4]*f[a[3]^2]*f[b[4]*c[2]])/10460353203 + 
  (3629200000*f[a[1]^6]*f[a[3]^2]*f[b[4]*c[2]])/282429536481 + 
  (5823942400*f[a[2]^2]*f[a[3]^2]*f[b[4]*c[2]])/10460353203 - 
  (28991916800*f[a[1]^2*a[2]^2]*f[a[3]^2]*f[b[4]*c[2]])/282429536481 - 
  (381644800*f[a[1]*a[3]]*f[a[3]^2]*f[b[4]*c[2]])/3486784401 + 
  (1960652800*f[a[1]^3*a[3]]*f[a[3]^2]*f[b[4]*c[2]])/31381059609 + 
  (113324446400*f[a[3]^2]^2*f[b[4]*c[2]])/94143178827 + 
  (3276800*f[a[2]]*f[a[4]]*f[b[4]*c[2]])/129140163 - 
  (16384000*f[a[1]^2*a[2]]*f[a[4]]*f[b[4]*c[2]])/3486784401 + 
  (81920000*f[a[1]^4*a[2]]*f[a[4]]*f[b[4]*c[2]])/31381059609 + 
  (85196800*f[a[2]^3]*f[a[4]]*f[b[4]*c[2]])/10460353203 + 
  (104857600*f[a[1]*a[2]*a[3]]*f[a[4]]*f[b[4]*c[2]])/31381059609 - 
  (583270400*f[a[4]]^2*f[b[4]*c[2]])/1162261467 + 
  (209715200*f[a[1]*a[2]]*f[a[1]*a[4]]*f[b[4]*c[2]])/3486784401 - 
  (1048576000*f[a[1]^3*a[2]]*f[a[1]*a[4]]*f[b[4]*c[2]])/31381059609 - 
  (7759462400*f[a[2]*a[3]]*f[a[1]*a[4]]*f[b[4]*c[2]])/31381059609 - 
  (9646899200*f[a[1]*a[4]]^2*f[b[4]*c[2]])/31381059609 - 
  (16384000*f[a[2]]*f[a[1]^2*a[4]]*f[b[4]*c[2]])/3486784401 + 
  (1313996800*f[a[1]^2*a[2]]*f[a[1]^2*a[4]]*f[b[4]*c[2]])/10460353203 - 
  (117850112000*f[a[1]^4*a[2]]*f[a[1]^2*a[4]]*f[b[4]*c[2]])/
   847288609443 + (25565593600*f[a[2]^3]*f[a[1]^2*a[4]]*f[b[4]*c[2]])/
   847288609443 - (28206694400*f[a[1]*a[2]*a[3]]*f[a[1]^2*a[4]]*
     f[b[4]*c[2]])/94143178827 + 
  (5832704000*f[a[4]]*f[a[1]^2*a[4]]*f[b[4]*c[2]])/31381059609 - 
  (111116288000*f[a[1]^2*a[4]]^2*f[b[4]*c[2]])/282429536481 - 
  (6553600*f[1]*f[a[2]*a[4]]*f[b[4]*c[2]])/129140163 - 
  (281804800*f[a[1]^2]*f[a[2]*a[4]]*f[b[4]*c[2]])/3486784401 + 
  (2981888000*f[a[1]^4]*f[a[2]*a[4]]*f[b[4]*c[2]])/31381059609 - 
  (113868800000*f[a[1]^6]*f[a[2]*a[4]]*f[b[4]*c[2]])/847288609443 - 
  (616038400*f[a[2]^2]*f[a[2]*a[4]]*f[b[4]*c[2]])/10460353203 + 
  (13107200*f[a[1]^2*a[2]^2]*f[a[2]*a[4]]*f[b[4]*c[2]])/10460353203 + 
  (5138022400*f[a[1]*a[3]]*f[a[2]*a[4]]*f[b[4]*c[2]])/31381059609 - 
  (35756441600*f[a[1]^3*a[3]]*f[a[2]*a[4]]*f[b[4]*c[2]])/282429536481 + 
  (699485388800*f[a[3]^2]*f[a[2]*a[4]]*f[b[4]*c[2]])/847288609443 + 
  (1352243609600*f[a[2]*a[4]]^2*f[b[4]*c[2]])/2541865828329 + 
  (3328000*f[a[1]]*f[a[5]]*f[b[4]*c[2]])/129140163 - 
  (16640000*f[a[1]^3]*f[a[5]]*f[b[4]*c[2]])/1162261467 + 
  (416000000*f[a[1]^5]*f[a[5]]*f[b[4]*c[2]])/31381059609 + 
  (86528000*f[a[1]*a[2]^2]*f[a[5]]*f[b[4]*c[2]])/31381059609 - 
  (12032000*f[a[3]]*f[a[5]]*f[b[4]*c[2]])/387420489 + 
  (393472000*f[a[1]^2*a[3]]*f[a[5]]*f[b[4]*c[2]])/31381059609 + 
  (6541952000*f[a[5]]^2*f[b[4]*c[2]])/10460353203 - 
  (6656000*f[1]*f[a[1]*a[5]]*f[b[4]*c[2]])/129140163 + 
  (46592000*f[a[1]^2]*f[a[1]*a[5]]*f[b[4]*c[2]])/1162261467 - 
  (1231360000*f[a[1]^4]*f[a[1]*a[5]]*f[b[4]*c[2]])/31381059609 + 
  (44096000000*f[a[1]^6]*f[a[1]*a[5]]*f[b[4]*c[2]])/847288609443 - 
  (4498432000*f[a[2]^2]*f[a[1]*a[5]]*f[b[4]*c[2]])/31381059609 + 
  (2806784000*f[a[1]^2*a[2]^2]*f[a[1]*a[5]]*f[b[4]*c[2]])/94143178827 - 
  (843776000*f[a[1]*a[3]]*f[a[1]*a[5]]*f[b[4]*c[2]])/31381059609 + 
  (7626752000*f[a[1]^3*a[3]]*f[a[1]*a[5]]*f[b[4]*c[2]])/282429536481 + 
  (9409024000*f[a[3]^2]*f[a[1]*a[5]]*f[b[4]*c[2]])/847288609443 + 
  (890765312000*f[a[2]*a[4]]*f[a[1]*a[5]]*f[b[4]*c[2]])/2541865828329 + 
  (950693888000*f[a[1]*a[5]]^2*f[b[4]*c[2]])/2541865828329 - 
  (9011200*f[a[2]]*f[a[6]]*f[b[4]*c[2]])/387420489 + 
  (45056000*f[a[1]^2*a[2]]*f[a[6]]*f[b[4]*c[2]])/10460353203 - 
  (225280000*f[a[1]^4*a[2]]*f[a[6]]*f[b[4]*c[2]])/94143178827 - 
  (234291200*f[a[2]^3]*f[a[6]]*f[b[4]*c[2]])/31381059609 - 
  (288358400*f[a[1]*a[2]*a[3]]*f[a[6]]*f[b[4]*c[2]])/94143178827 + 
  (291635200*f[a[4]]*f[a[6]]*f[b[4]*c[2]])/10460353203 - 
  (1458176000*f[a[1]^2*a[4]]*f[a[6]]*f[b[4]*c[2]])/282429536481 - 
  (210702745600*f[a[6]]^2*f[b[4]*c[2]])/282429536481 + 
  (135040*f[1]*f[b[1]*c[1]]*f[b[4]*c[2]])/177147 - 
  (675200*f[a[1]^2]*f[b[1]*c[1]]*f[b[4]*c[2]])/4782969 + 
  (3376000*f[a[1]^4]*f[b[1]*c[1]]*f[b[4]*c[2]])/43046721 - 
  (84400000*f[a[1]^6]*f[b[1]*c[1]]*f[b[4]*c[2]])/1162261467 + 
  (3511040*f[a[2]^2]*f[b[1]*c[1]]*f[b[4]*c[2]])/43046721 - 
  (17555200*f[a[1]^2*a[2]^2]*f[b[1]*c[1]]*f[b[4]*c[2]])/1162261467 + 
  (4321280*f[a[1]*a[3]]*f[b[1]*c[1]]*f[b[4]*c[2]])/43046721 - 
  (21606400*f[a[1]^3*a[3]]*f[b[1]*c[1]]*f[b[4]*c[2]])/387420489 - 
  (120590720*f[a[3]^2]*f[b[1]*c[1]]*f[b[4]*c[2]])/1162261467 - 
  (276561920*f[a[2]*a[4]]*f[b[1]*c[1]]*f[b[4]*c[2]])/3486784401 - 
  (280883200*f[a[1]*a[5]]*f[b[1]*c[1]]*f[b[4]*c[2]])/3486784401 + 
  (662720*f[b[1]*c[1]]^2*f[b[4]*c[2]])/1594323 + 
  (2160640*f[a[1]]*f[a[1]*b[1]*c[1]]*f[b[4]*c[2]])/4782969 - 
  (10803200*f[a[1]^3]*f[a[1]*b[1]*c[1]]*f[b[4]*c[2]])/43046721 + 
  (270080000*f[a[1]^5]*f[a[1]*b[1]*c[1]]*f[b[4]*c[2]])/1162261467 + 
  (56176640*f[a[1]*a[2]^2]*f[a[1]*b[1]*c[1]]*f[b[4]*c[2]])/1162261467 - 
  (2160640*f[a[3]]*f[a[1]*b[1]*c[1]]*f[b[4]*c[2]])/43046721 + 
  (49694720*f[a[1]^2*a[3]]*f[a[1]*b[1]*c[1]]*f[b[4]*c[2]])/387420489 + 
  (140441600*f[a[5]]*f[a[1]*b[1]*c[1]]*f[b[4]*c[2]])/3486784401 + 
  (10603520*f[a[1]*b[1]*c[1]]^2*f[b[4]*c[2]])/43046721 - 
  (675200*f[1]*f[a[1]^2*b[1]*c[1]]*f[b[4]*c[2]])/4782969 + 
  (24172160*f[a[1]^2]*f[a[1]^2*b[1]*c[1]]*f[b[4]*c[2]])/43046721 - 
  (708284800*f[a[1]^4]*f[a[1]^2*b[1]*c[1]]*f[b[4]*c[2]])/1162261467 + 
  (26349680000*f[a[1]^6]*f[a[1]^2*b[1]*c[1]]*f[b[4]*c[2]])/
   31381059609 + (1053582080*f[a[2]^2]*f[a[1]^2*b[1]*c[1]]*
     f[b[4]*c[2]])/3486784401 + 
  (125047040*f[a[1]^2*a[2]^2]*f[a[1]^2*b[1]*c[1]]*f[b[4]*c[2]])/
   94143178827 - (30248960*f[a[1]*a[3]]*f[a[1]^2*b[1]*c[1]]*
     f[b[4]*c[2]])/387420489 + 
  (2666229760*f[a[1]^3*a[3]]*f[a[1]^2*b[1]*c[1]]*f[b[4]*c[2]])/
   10460353203 + (810375040*f[a[3]^2]*f[a[1]^2*b[1]*c[1]]*
     f[b[4]*c[2]])/31381059609 - 
  (11892162560*f[a[2]*a[4]]*f[a[1]^2*b[1]*c[1]]*f[b[4]*c[2]])/
   94143178827 + (1966182400*f[a[1]*a[5]]*f[a[1]^2*b[1]*c[1]]*
     f[b[4]*c[2]])/31381059609 - 
  (6627200*f[b[1]*c[1]]*f[a[1]^2*b[1]*c[1]]*f[b[4]*c[2]])/43046721 + 
  (118626880*f[a[1]^2*b[1]*c[1]]^2*f[b[4]*c[2]])/387420489 - 
  (10803200*f[a[1]]*f[a[1]^3*b[1]*c[1]]*f[b[4]*c[2]])/43046721 + 
  (1268295680*f[a[1]^3]*f[a[1]^3*b[1]*c[1]]*f[b[4]*c[2]])/1162261467 - 
  (59363584000*f[a[1]^5]*f[a[1]^3*b[1]*c[1]]*f[b[4]*c[2]])/
   31381059609 + (16857313280*f[a[1]*a[2]^2]*f[a[1]^3*b[1]*c[1]]*
     f[b[4]*c[2]])/31381059609 + 
  (10803200*f[a[3]]*f[a[1]^3*b[1]*c[1]]*f[b[4]*c[2]])/387420489 - 
  (1851668480*f[a[1]^2*a[3]]*f[a[1]^3*b[1]*c[1]]*f[b[4]*c[2]])/
   10460353203 - (702208000*f[a[5]]*f[a[1]^3*b[1]*c[1]]*f[b[4]*c[2]])/
   31381059609 - (106035200*f[a[1]*b[1]*c[1]]*f[a[1]^3*b[1]*c[1]]*
     f[b[4]*c[2]])/387420489 + 
  (6224266240*f[a[1]^3*b[1]*c[1]]^2*f[b[4]*c[2]])/10460353203 + 
  (3376000*f[1]*f[a[1]^4*b[1]*c[1]]*f[b[4]*c[2]])/43046721 - 
  (708284800*f[a[1]^2]*f[a[1]^4*b[1]*c[1]]*f[b[4]*c[2]])/1162261467 + 
  (91795195520*f[a[1]^4]*f[a[1]^4*b[1]*c[1]]*f[b[4]*c[2]])/
   31381059609 - (225709232000*f[a[1]^6]*f[a[1]^4*b[1]*c[1]]*
     f[b[4]*c[2]])/31381059609 - 
  (10799148800*f[a[2]^2]*f[a[1]^4*b[1]*c[1]]*f[b[4]*c[2]])/
   31381059609 + (125873754880*f[a[1]^2*a[2]^2]*f[a[1]^4*b[1]*c[1]]*
     f[b[4]*c[2]])/94143178827 + 
  (799436800*f[a[1]*a[3]]*f[a[1]^4*b[1]*c[1]]*f[b[4]*c[2]])/
   10460353203 - (149166264320*f[a[1]^3*a[3]]*f[a[1]^4*b[1]*c[1]]*
     f[b[4]*c[2]])/282429536481 - 
  (5088982400*f[a[3]^2]*f[a[1]^4*b[1]*c[1]]*f[b[4]*c[2]])/
   282429536481 + (125835673600*f[a[2]*a[4]]*f[a[1]^4*b[1]*c[1]]*
     f[b[4]*c[2]])/847288609443 - 
  (51963392000*f[a[1]*a[5]]*f[a[1]^4*b[1]*c[1]]*f[b[4]*c[2]])/
   847288609443 + (33136000*f[b[1]*c[1]]*f[a[1]^4*b[1]*c[1]]*
     f[b[4]*c[2]])/387420489 - 
  (6951932800*f[a[1]^2*b[1]*c[1]]*f[a[1]^4*b[1]*c[1]]*f[b[4]*c[2]])/
   10460353203 + (450492535360*f[a[1]^4*b[1]*c[1]]^2*f[b[4]*c[2]])/
   282429536481 - (34570240*f[a[2]]*f[a[2]*b[1]*c[1]]*f[b[4]*c[2]])/
   43046721 + (172851200*f[a[1]^2*a[2]]*f[a[2]*b[1]*c[1]]*
     f[b[4]*c[2]])/1162261467 - 
  (864256000*f[a[1]^4*a[2]]*f[a[2]*b[1]*c[1]]*f[b[4]*c[2]])/
   10460353203 - (898826240*f[a[2]^3]*f[a[2]*b[1]*c[1]]*f[b[4]*c[2]])/
   3486784401 - (1106247680*f[a[1]*a[2]*a[3]]*f[a[2]*b[1]*c[1]]*
     f[b[4]*c[2]])/10460353203 + 
  (138280960*f[a[4]]*f[a[2]*b[1]*c[1]]*f[b[4]*c[2]])/3486784401 - 
  (691404800*f[a[1]^2*a[4]]*f[a[2]*b[1]*c[1]]*f[b[4]*c[2]])/
   94143178827 - (380272640*f[a[6]]*f[a[2]*b[1]*c[1]]*f[b[4]*c[2]])/
   10460353203 - (169656320*f[a[2]*b[1]*c[1]]^2*f[b[4]*c[2]])/387420489 - 
  (2212495360*f[a[1]*a[2]]*f[a[1]*a[2]*b[1]*c[1]]*f[b[4]*c[2]])/
   3486784401 + (11062476800*f[a[1]^3*a[2]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[b[4]*c[2]])/31381059609 - 
  (2212495360*f[a[2]*a[3]]*f[a[1]*a[2]*b[1]*c[1]]*f[b[4]*c[2]])/
   10460353203 + (8849981440*f[a[1]*a[4]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[b[4]*c[2]])/94143178827 - 
  (10858004480*f[a[1]*a[2]*b[1]*c[1]]^2*f[b[4]*c[2]])/31381059609 + 
  (172851200*f[a[2]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[4]*c[2]])/
   1162261467 - (91092582400*f[a[1]^2*a[2]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[b[4]*c[2]])/94143178827 + 
  (897961984000*f[a[1]^4*a[2]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[4]*c[2]])/
   847288609443 - (269717012480*f[a[2]^3]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[b[4]*c[2]])/282429536481 - 
  (178105876480*f[a[1]*a[2]*a[3]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[b[4]*c[2]])/847288609443 - 
  (691404800*f[a[4]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[4]*c[2]])/
   94143178827 + (55450664960*f[a[1]^2*a[4]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[b[4]*c[2]])/282429536481 + 
  (1901363200*f[a[6]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[4]*c[2]])/
   282429536481 + (1696563200*f[a[2]*b[1]*c[1]]*
     f[a[1]^2*a[2]*b[1]*c[1]]*f[b[4]*c[2]])/10460353203 - 
  (447044403200*f[a[1]^2*a[2]*b[1]*c[1]]^2*f[b[4]*c[2]])/847288609443 + 
  (3511040*f[1]*f[a[2]^2*b[1]*c[1]]*f[b[4]*c[2]])/43046721 + 
  (1053582080*f[a[1]^2]*f[a[2]^2*b[1]*c[1]]*f[b[4]*c[2]])/3486784401 - 
  (10799148800*f[a[1]^4]*f[a[2]^2*b[1]*c[1]]*f[b[4]*c[2]])/
   31381059609 + (136086560000*f[a[1]^6]*f[a[2]^2*b[1]*c[1]]*
     f[b[4]*c[2]])/282429536481 + 
  (5930416640*f[a[2]^2]*f[a[2]^2*b[1]*c[1]]*f[b[4]*c[2]])/3486784401 - 
  (238106309120*f[a[1]^2*a[2]^2]*f[a[2]^2*b[1]*c[1]]*f[b[4]*c[2]])/
   847288609443 + (5643591680*f[a[1]*a[3]]*f[a[2]^2*b[1]*c[1]]*
     f[b[4]*c[2]])/10460353203 - 
  (49253949440*f[a[1]^3*a[3]]*f[a[2]^2*b[1]*c[1]]*f[b[4]*c[2]])/
   282429536481 + (245770369280*f[a[3]^2]*f[a[2]^2*b[1]*c[1]]*
     f[b[4]*c[2]])/282429536481 - 
  (25996820480*f[a[2]*a[4]]*f[a[2]^2*b[1]*c[1]]*f[b[4]*c[2]])/
   282429536481 - (189833830400*f[a[1]*a[5]]*f[a[2]^2*b[1]*c[1]]*
     f[b[4]*c[2]])/847288609443 + 
  (34461440*f[b[1]*c[1]]*f[a[2]^2*b[1]*c[1]]*f[b[4]*c[2]])/387420489 + 
  (10341082880*f[a[1]^2*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]]*f[b[4]*c[2]])/
   31381059609 - (105995436800*f[a[1]^4*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]]*
     f[b[4]*c[2]])/282429536481 + 
  (29104011520*f[a[2]^2*b[1]*c[1]]^2*f[b[4]*c[2]])/31381059609 - 
  (2160640*f[a[1]]*f[a[3]*b[1]*c[1]]*f[b[4]*c[2]])/43046721 + 
  (10803200*f[a[1]^3]*f[a[3]*b[1]*c[1]]*f[b[4]*c[2]])/387420489 - 
  (270080000*f[a[1]^5]*f[a[3]*b[1]*c[1]]*f[b[4]*c[2]])/10460353203 - 
  (56176640*f[a[1]*a[2]^2]*f[a[3]*b[1]*c[1]]*f[b[4]*c[2]])/
   10460353203 + (1389291520*f[a[3]]*f[a[3]*b[1]*c[1]]*f[b[4]*c[2]])/
   1162261467 - (7361300480*f[a[1]^2*a[3]]*f[a[3]*b[1]*c[1]]*
     f[b[4]*c[2]])/31381059609 - 
  (507750400*f[a[5]]*f[a[3]*b[1]*c[1]]*f[b[4]*c[2]])/10460353203 - 
  (21207040*f[a[1]*b[1]*c[1]]*f[a[3]*b[1]*c[1]]*f[b[4]*c[2]])/
   387420489 + (106035200*f[a[1]^3*b[1]*c[1]]*f[a[3]*b[1]*c[1]]*
     f[b[4]*c[2]])/3486784401 + 
  (6818063360*f[a[3]*b[1]*c[1]]^2*f[b[4]*c[2]])/10460353203 + 
  (4321280*f[1]*f[a[1]*a[3]*b[1]*c[1]]*f[b[4]*c[2]])/43046721 - 
  (30248960*f[a[1]^2]*f[a[1]*a[3]*b[1]*c[1]]*f[b[4]*c[2]])/387420489 + 
  (799436800*f[a[1]^4]*f[a[1]*a[3]*b[1]*c[1]]*f[b[4]*c[2]])/
   10460353203 - (28628480000*f[a[1]^6]*f[a[1]*a[3]*b[1]*c[1]]*
     f[b[4]*c[2]])/282429536481 + 
  (5643591680*f[a[2]^2]*f[a[1]*a[3]*b[1]*c[1]]*f[b[4]*c[2]])/
   10460353203 - (30015610880*f[a[1]^2*a[2]^2]*f[a[1]*a[3]*b[1]*c[1]]*
     f[b[4]*c[2]])/282429536481 + 
  (22747217920*f[a[1]*a[3]]*f[a[1]*a[3]*b[1]*c[1]]*f[b[4]*c[2]])/
   31381059609 - (120373575680*f[a[1]^3*a[3]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[b[4]*c[2]])/282429536481 - 
  (16105410560*f[a[3]^2]*f[a[1]*a[3]*b[1]*c[1]]*f[b[4]*c[2]])/
   94143178827 + (216824545280*f[a[2]*a[4]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[b[4]*c[2]])/847288609443 - 
  (35607347200*f[a[1]*a[5]]*f[a[1]*a[3]*b[1]*c[1]]*f[b[4]*c[2]])/
   847288609443 + (42414080*f[b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[b[4]*c[2]])/387420489 - 
  (296898560*f[a[1]^2*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]]*f[b[4]*c[2]])/
   3486784401 + (7846604800*f[a[1]^4*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[b[4]*c[2]])/94143178827 + 
  (55392788480*f[a[2]^2*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[b[4]*c[2]])/94143178827 + 
  (111633858560*f[a[1]*a[3]*b[1]*c[1]]^2*f[b[4]*c[2]])/282429536481 + 
  (138280960*f[a[2]]*f[a[4]*b[1]*c[1]]*f[b[4]*c[2]])/3486784401 - 
  (691404800*f[a[1]^2*a[2]]*f[a[4]*b[1]*c[1]]*f[b[4]*c[2]])/
   94143178827 + (3457024000*f[a[1]^4*a[2]]*f[a[4]*b[1]*c[1]]*
     f[b[4]*c[2]])/847288609443 + 
  (3595304960*f[a[2]^3]*f[a[4]*b[1]*c[1]]*f[b[4]*c[2]])/282429536481 + 
  (4424990720*f[a[1]*a[2]*a[3]]*f[a[4]*b[1]*c[1]]*f[b[4]*c[2]])/
   847288609443 - (49228021760*f[a[4]]*f[a[4]*b[1]*c[1]]*f[b[4]*c[2]])/
   31381059609 + (246140108800*f[a[1]^2*a[4]]*f[a[4]*b[1]*c[1]]*
     f[b[4]*c[2]])/847288609443 + 
  (12307005440*f[a[6]]*f[a[4]*b[1]*c[1]]*f[b[4]*c[2]])/282429536481 + 
  (1357250560*f[a[2]*b[1]*c[1]]*f[a[4]*b[1]*c[1]]*f[b[4]*c[2]])/
   31381059609 - (6786252800*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[4]*b[1]*c[1]]*
     f[b[4]*c[2]])/847288609443 - 
  (241590599680*f[a[4]*b[1]*c[1]]^2*f[b[4]*c[2]])/282429536481 + 
  (77332480*f[b[2]*c[1]]^2*f[b[4]*c[2]])/129140163 + 
  (5963776*f[a[2]]*f[a[1]*b[2]*c[1]]*f[b[4]*c[2]])/14348907 - 
  (29818880*f[a[1]^2*a[2]]*f[a[1]*b[2]*c[1]]*f[b[4]*c[2]])/387420489 + 
  (149094400*f[a[1]^4*a[2]]*f[a[1]*b[2]*c[1]]*f[b[4]*c[2]])/
   3486784401 + (155058176*f[a[2]^3]*f[a[1]*b[2]*c[1]]*f[b[4]*c[2]])/
   1162261467 + (190840832*f[a[1]*a[2]*a[3]]*f[a[1]*b[2]*c[1]]*
     f[b[4]*c[2]])/3486784401 - 
  (23855104*f[a[4]]*f[a[1]*b[2]*c[1]]*f[b[4]*c[2]])/129140163 + 
  (119275520*f[a[1]^2*a[4]]*f[a[1]*b[2]*c[1]]*f[b[4]*c[2]])/
   3486784401 + (149094400*f[a[6]]*f[a[1]*b[2]*c[1]]*f[b[4]*c[2]])/
   1162261467 + (639696896*f[a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*
     f[b[4]*c[2]])/3486784401 - 
  (3198484480*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*f[b[4]*c[2]])/
   94143178827 - (2558787584*f[a[4]*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*
     f[b[4]*c[2]])/31381059609 + 
  (1237319680*f[a[1]*b[2]*c[1]]^2*f[b[4]*c[2]])/3486784401 + 
  (190840832*f[a[1]*a[2]]*f[a[1]^2*b[2]*c[1]]*f[b[4]*c[2]])/387420489 - 
  (954204160*f[a[1]^3*a[2]]*f[a[1]^2*b[2]*c[1]]*f[b[4]*c[2]])/
   3486784401 - (190840832*f[a[2]*a[3]]*f[a[1]^2*b[2]*c[1]]*
     f[b[4]*c[2]])/3486784401 - 
  (763363328*f[a[1]*a[4]]*f[a[1]^2*b[2]*c[1]]*f[b[4]*c[2]])/
   3486784401 + (20470300672*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*
     f[b[4]*c[2]])/94143178827 - 
  (773324800*f[b[2]*c[1]]*f[a[1]^2*b[2]*c[1]]*f[b[4]*c[2]])/
   3486784401 + (13842513920*f[a[1]^2*b[2]*c[1]]^2*f[b[4]*c[2]])/
   31381059609 - (29818880*f[a[2]]*f[a[1]^3*b[2]*c[1]]*f[b[4]*c[2]])/
   129140163 + (1067515904*f[a[1]^2*a[2]]*f[a[1]^3*b[2]*c[1]]*
     f[b[4]*c[2]])/1162261467 - 
  (31280005120*f[a[1]^4*a[2]]*f[a[1]^3*b[2]*c[1]]*f[b[4]*c[2]])/
   31381059609 + (41877635072*f[a[2]^3]*f[a[1]^3*b[2]*c[1]]*
     f[b[4]*c[2]])/94143178827 - 
  (1335885824*f[a[1]*a[2]*a[3]]*f[a[1]^3*b[2]*c[1]]*f[b[4]*c[2]])/
   10460353203 + (119275520*f[a[4]]*f[a[1]^3*b[2]*c[1]]*f[b[4]*c[2]])/
   1162261467 - (4270063616*f[a[1]^2*a[4]]*f[a[1]^3*b[2]*c[1]]*
     f[b[4]*c[2]])/10460353203 - 
  (745472000*f[a[6]]*f[a[1]^3*b[2]*c[1]]*f[b[4]*c[2]])/10460353203 - 
  (3198484480*f[a[2]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*f[b[4]*c[2]])/
   31381059609 + (114505744384*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]^3*b[2]*c[1]]*f[b[4]*c[2]])/282429536481 + 
  (12793937920*f[a[4]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*f[b[4]*c[2]])/
   282429536481 - (12373196800*f[a[1]*b[2]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[b[4]*c[2]])/31381059609 + 
  (726306652160*f[a[1]^3*b[2]*c[1]]^2*f[b[4]*c[2]])/847288609443 - 
  (5963776*f[a[1]]*f[a[2]*b[2]*c[1]]*f[b[4]*c[2]])/14348907 + 
  (29818880*f[a[1]^3]*f[a[2]*b[2]*c[1]]*f[b[4]*c[2]])/129140163 - 
  (745472000*f[a[1]^5]*f[a[2]*b[2]*c[1]]*f[b[4]*c[2]])/3486784401 - 
  (155058176*f[a[1]*a[2]^2]*f[a[2]*b[2]*c[1]]*f[b[4]*c[2]])/
   3486784401 - (29818880*f[a[3]]*f[a[2]*b[2]*c[1]]*f[b[4]*c[2]])/
   43046721 + (65601536*f[a[1]^2*a[3]]*f[a[2]*b[2]*c[1]]*f[b[4]*c[2]])/
   3486784401 + (328007680*f[a[5]]*f[a[2]*b[2]*c[1]]*f[b[4]*c[2]])/
   1162261467 - (639696896*f[a[1]*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*
     f[b[4]*c[2]])/3486784401 + 
  (3198484480*f[a[1]^3*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*f[b[4]*c[2]])/
   31381059609 - (3198484480*f[a[3]*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*
     f[b[4]*c[2]])/10460353203 - 
  (19797114880*f[a[2]*b[2]*c[1]]^2*f[b[4]*c[2]])/31381059609 - 
  (190840832*f[a[1]^2]*f[a[1]*a[2]*b[2]*c[1]]*f[b[4]*c[2]])/387420489 + 
  (1908408320*f[a[1]^4]*f[a[1]*a[2]*b[2]*c[1]]*f[b[4]*c[2]])/
   3486784401 - (23855104000*f[a[1]^6]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[4]*c[2]])/31381059609 - 
  (3053453312*f[a[2]^2]*f[a[1]*a[2]*b[2]*c[1]]*f[b[4]*c[2]])/
   3486784401 + (381681664*f[a[1]^2*a[2]^2]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[4]*c[2]])/3486784401 - 
  (1335885824*f[a[1]*a[3]]*f[a[1]*a[2]*b[2]*c[1]]*f[b[4]*c[2]])/
   3486784401 + (190840832*f[a[1]^3*a[3]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[4]*c[2]])/10460353203 + 
  (954204160*f[a[3]^2]*f[a[1]*a[2]*b[2]*c[1]]*f[b[4]*c[2]])/
   10460353203 + (61069066240*f[a[2]*a[4]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[4]*c[2]])/282429536481 + 
  (41030778880*f[a[1]*a[5]]*f[a[1]*a[2]*b[2]*c[1]]*f[b[4]*c[2]])/
   282429536481 - (20470300672*f[a[1]^2*b[1]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]]*f[b[4]*c[2]])/94143178827 + 
  (204703006720*f[a[1]^4*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[4]*c[2]])/847288609443 - 
  (327524810752*f[a[2]^2*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[4]*c[2]])/847288609443 - 
  (143292104704*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[4]*c[2]])/847288609443 - 
  (1267015352320*f[a[1]*a[2]*b[2]*c[1]]^2*f[b[4]*c[2]])/2541865828329 + 
  (29818880*f[a[2]]*f[a[3]*b[2]*c[1]]*f[b[4]*c[2]])/43046721 - 
  (149094400*f[a[1]^2*a[2]]*f[a[3]*b[2]*c[1]]*f[b[4]*c[2]])/
   1162261467 + (745472000*f[a[1]^4*a[2]]*f[a[3]*b[2]*c[1]]*
     f[b[4]*c[2]])/10460353203 + 
  (775290880*f[a[2]^3]*f[a[3]*b[2]*c[1]]*f[b[4]*c[2]])/3486784401 + 
  (954204160*f[a[1]*a[2]*a[3]]*f[a[3]*b[2]*c[1]]*f[b[4]*c[2]])/
   10460353203 + (1168900096*f[a[4]]*f[a[3]*b[2]*c[1]]*f[b[4]*c[2]])/
   1162261467 - (5844500480*f[a[1]^2*a[4]]*f[a[3]*b[2]*c[1]]*
     f[b[4]*c[2]])/31381059609 - 
  (37887868928*f[a[6]]*f[a[3]*b[2]*c[1]]*f[b[4]*c[2]])/94143178827 + 
  (3198484480*f[a[2]*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*f[b[4]*c[2]])/
   10460353203 - (15992422400*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[3]*b[2]*c[1]]*f[b[4]*c[2]])/282429536481 + 
  (125380591616*f[a[4]*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*f[b[4]*c[2]])/
   282429536481 - (2474639360*f[a[1]*b[2]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[b[4]*c[2]])/31381059609 + 
  (12373196800*f[a[1]^3*b[2]*c[1]]*f[a[3]*b[2]*c[1]]*f[b[4]*c[2]])/
   282429536481 + (795596554240*f[a[3]*b[2]*c[1]]^2*f[b[4]*c[2]])/
   847288609443 + (882176*f[1]*f[b[3]*c[1]]*f[b[4]*c[2]])/1594323 - 
  (4410880*f[a[1]^2]*f[b[3]*c[1]]*f[b[4]*c[2]])/43046721 + 
  (22054400*f[a[1]^4]*f[b[3]*c[1]]*f[b[4]*c[2]])/387420489 - 
  (551360000*f[a[1]^6]*f[b[3]*c[1]]*f[b[4]*c[2]])/10460353203 + 
  (22936576*f[a[2]^2]*f[b[3]*c[1]]*f[b[4]*c[2]])/387420489 - 
  (114682880*f[a[1]^2*a[2]^2]*f[b[3]*c[1]]*f[b[4]*c[2]])/10460353203 + 
  (28229632*f[a[1]*a[3]]*f[b[3]*c[1]]*f[b[4]*c[2]])/387420489 - 
  (141148160*f[a[1]^3*a[3]]*f[b[3]*c[1]]*f[b[4]*c[2]])/3486784401 - 
  (787783168*f[a[3]^2]*f[b[3]*c[1]]*f[b[4]*c[2]])/10460353203 - 
  (1806696448*f[a[2]*a[4]]*f[b[3]*c[1]]*f[b[4]*c[2]])/31381059609 - 
  (1834926080*f[a[1]*a[5]]*f[b[3]*c[1]]*f[b[4]*c[2]])/31381059609 + 
  (1532416*f[b[1]*c[1]]*f[b[3]*c[1]]*f[b[4]*c[2]])/4782969 - 
  (7662080*f[a[1]^2*b[1]*c[1]]*f[b[3]*c[1]]*f[b[4]*c[2]])/129140163 + 
  (38310400*f[a[1]^4*b[1]*c[1]]*f[b[3]*c[1]]*f[b[4]*c[2]])/1162261467 + 
  (39842816*f[a[2]^2*b[1]*c[1]]*f[b[3]*c[1]]*f[b[4]*c[2]])/1162261467 + 
  (49037312*f[a[1]*a[3]*b[1]*c[1]]*f[b[3]*c[1]]*f[b[4]*c[2]])/
   1162261467 - (12615680*f[b[3]*c[1]]^2*f[b[4]*c[2]])/129140163 + 
  (14114816*f[a[1]]*f[a[1]*b[3]*c[1]]*f[b[4]*c[2]])/43046721 - 
  (70574080*f[a[1]^3]*f[a[1]*b[3]*c[1]]*f[b[4]*c[2]])/387420489 + 
  (1764352000*f[a[1]^5]*f[a[1]*b[3]*c[1]]*f[b[4]*c[2]])/10460353203 + 
  (366985216*f[a[1]*a[2]^2]*f[a[1]*b[3]*c[1]]*f[b[4]*c[2]])/
   10460353203 - (14114816*f[a[3]]*f[a[1]*b[3]*c[1]]*f[b[4]*c[2]])/
   387420489 + (324640768*f[a[1]^2*a[3]]*f[a[1]*b[3]*c[1]]*
     f[b[4]*c[2]])/3486784401 + 
  (917463040*f[a[5]]*f[a[1]*b[3]*c[1]]*f[b[4]*c[2]])/31381059609 + 
  (24518656*f[a[1]*b[1]*c[1]]*f[a[1]*b[3]*c[1]]*f[b[4]*c[2]])/
   129140163 - (122593280*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[3]*c[1]]*
     f[b[4]*c[2]])/1162261467 - 
  (24518656*f[a[3]*b[1]*c[1]]*f[a[1]*b[3]*c[1]]*f[b[4]*c[2]])/
   1162261467 + (7319060480*f[a[2]*b[2]*c[1]]*f[a[1]*b[3]*c[1]]*
     f[b[4]*c[2]])/31381059609 - 
  (201850880*f[a[1]*b[3]*c[1]]^2*f[b[4]*c[2]])/3486784401 - 
  (4410880*f[1]*f[a[1]^2*b[3]*c[1]]*f[b[4]*c[2]])/43046721 + 
  (157909504*f[a[1]^2]*f[a[1]^2*b[3]*c[1]]*f[b[4]*c[2]])/387420489 - 
  (4627013120*f[a[1]^4]*f[a[1]^2*b[3]*c[1]]*f[b[4]*c[2]])/10460353203 + 
  (172134592000*f[a[1]^6]*f[a[1]^2*b[3]*c[1]]*f[b[4]*c[2]])/
   282429536481 + (6882737152*f[a[2]^2]*f[a[1]^2*b[3]*c[1]]*
     f[b[4]*c[2]])/31381059609 + 
  (816894976*f[a[1]^2*a[2]^2]*f[a[1]^2*b[3]*c[1]]*f[b[4]*c[2]])/
   847288609443 - (197607424*f[a[1]*a[3]]*f[a[1]^2*b[3]*c[1]]*
     f[b[4]*c[2]])/3486784401 + 
  (17417682944*f[a[1]^3*a[3]]*f[a[1]^2*b[3]*c[1]]*f[b[4]*c[2]])/
   94143178827 + (5293938176*f[a[3]^2]*f[a[1]^2*b[3]*c[1]]*
     f[b[4]*c[2]])/282429536481 - 
  (77687947264*f[a[2]*a[4]]*f[a[1]^2*b[3]*c[1]]*f[b[4]*c[2]])/
   847288609443 + (12844482560*f[a[1]*a[5]]*f[a[1]^2*b[3]*c[1]]*
     f[b[4]*c[2]])/282429536481 - 
  (7662080*f[b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*f[b[4]*c[2]])/129140163 + 
  (274302464*f[a[1]^2*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*f[b[4]*c[2]])/
   1162261467 - (8037521920*f[a[1]^4*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[b[4]*c[2]])/31381059609 + 
  (11955909632*f[a[2]^2*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*f[b[4]*c[2]])/
   94143178827 - (343261184*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[b[4]*c[2]])/10460353203 + 
  (234209935360*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[b[4]*c[2]])/847288609443 + 
  (126156800*f[b[3]*c[1]]*f[a[1]^2*b[3]*c[1]]*f[b[4]*c[2]])/
   3486784401 - (2258206720*f[a[1]^2*b[3]*c[1]]^2*f[b[4]*c[2]])/
   31381059609 - (225837056*f[a[2]]*f[a[2]*b[3]*c[1]]*f[b[4]*c[2]])/
   387420489 + (1129185280*f[a[1]^2*a[2]]*f[a[2]*b[3]*c[1]]*
     f[b[4]*c[2]])/10460353203 - 
  (5645926400*f[a[1]^4*a[2]]*f[a[2]*b[3]*c[1]]*f[b[4]*c[2]])/
   94143178827 - (5871763456*f[a[2]^3]*f[a[2]*b[3]*c[1]]*f[b[4]*c[2]])/
   31381059609 - (7226785792*f[a[1]*a[2]*a[3]]*f[a[2]*b[3]*c[1]]*
     f[b[4]*c[2]])/94143178827 + 
  (903348224*f[a[4]]*f[a[2]*b[3]*c[1]]*f[b[4]*c[2]])/31381059609 - 
  (4516741120*f[a[1]^2*a[4]]*f[a[2]*b[3]*c[1]]*f[b[4]*c[2]])/
   847288609443 - (2484207616*f[a[6]]*f[a[2]*b[3]*c[1]]*f[b[4]*c[2]])/
   94143178827 - (392298496*f[a[2]*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[b[4]*c[2]])/1162261467 + 
  (1961492480*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*f[b[4]*c[2]])/
   31381059609 + (1569193984*f[a[4]*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[b[4]*c[2]])/94143178827 - 
  (7319060480*f[a[1]*b[2]*c[1]]*f[a[2]*b[3]*c[1]]*f[b[4]*c[2]])/
   31381059609 + (36595302400*f[a[1]^3*b[2]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[b[4]*c[2]])/282429536481 - 
  (36595302400*f[a[3]*b[2]*c[1]]*f[a[2]*b[3]*c[1]]*f[b[4]*c[2]])/
   94143178827 + (3229614080*f[a[2]*b[3]*c[1]]^2*f[b[4]*c[2]])/
   31381059609 - (402128896*f[b[2]*c[1]]*f[b[4]*c[1]]*f[b[4]*c[2]])/
   1162261467 + (2010644480*f[a[1]^2*b[2]*c[1]]*f[b[4]*c[1]]*
     f[b[4]*c[2]])/31381059609 + 
  (42598400*f[a[2]]*f[a[1]*b[4]*c[1]]*f[b[4]*c[2]])/1162261467 - 
  (212992000*f[a[1]^2*a[2]]*f[a[1]*b[4]*c[1]]*f[b[4]*c[2]])/
   31381059609 + (1064960000*f[a[1]^4*a[2]]*f[a[1]*b[4]*c[1]]*
     f[b[4]*c[2]])/282429536481 + 
  (1107558400*f[a[2]^3]*f[a[1]*b[4]*c[1]]*f[b[4]*c[2]])/94143178827 + 
  (1363148800*f[a[1]*a[2]*a[3]]*f[a[1]*b[4]*c[1]]*f[b[4]*c[2]])/
   282429536481 - (170393600*f[a[4]]*f[a[1]*b[4]*c[1]]*f[b[4]*c[2]])/
   10460353203 + (851968000*f[a[1]^2*a[4]]*f[a[1]*b[4]*c[1]]*
     f[b[4]*c[2]])/282429536481 + 
  (1064960000*f[a[6]]*f[a[1]*b[4]*c[1]]*f[b[4]*c[2]])/94143178827 + 
  (928645120*f[a[2]*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*f[b[4]*c[2]])/
   10460353203 - (4643225600*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[b[4]*c[2]])/282429536481 - 
  (3714580480*f[a[4]*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*f[b[4]*c[2]])/
   94143178827 - (6434062336*f[a[1]*b[2]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[b[4]*c[2]])/31381059609 + 
  (32170311680*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[4]*c[1]]*f[b[4]*c[2]])/
   282429536481 + (6434062336*f[a[3]*b[2]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[b[4]*c[2]])/282429536481 + 
  (8396996608*f[a[2]*b[3]*c[1]]*f[a[1]*b[4]*c[1]]*f[b[4]*c[2]])/
   94143178827 - (20462080*f[1]*f[b[5]*c[1]]*f[b[4]*c[2]])/129140163 + 
  (102310400*f[a[1]^2]*f[b[5]*c[1]]*f[b[4]*c[2]])/3486784401 - 
  (511552000*f[a[1]^4]*f[b[5]*c[1]]*f[b[4]*c[2]])/31381059609 + 
  (12788800000*f[a[1]^6]*f[b[5]*c[1]]*f[b[4]*c[2]])/847288609443 - 
  (532014080*f[a[2]^2]*f[b[5]*c[1]]*f[b[4]*c[2]])/31381059609 + 
  (2660070400*f[a[1]^2*a[2]^2]*f[b[5]*c[1]]*f[b[4]*c[2]])/
   847288609443 - (654786560*f[a[1]*a[3]]*f[b[5]*c[1]]*f[b[4]*c[2]])/
   31381059609 + (3273932800*f[a[1]^3*a[3]]*f[b[5]*c[1]]*f[b[4]*c[2]])/
   282429536481 + (18272637440*f[a[3]^2]*f[b[5]*c[1]]*f[b[4]*c[2]])/
   847288609443 + (41906339840*f[a[2]*a[4]]*f[b[5]*c[1]]*f[b[4]*c[2]])/
   2541865828329 + (42561126400*f[a[1]*a[5]]*f[b[5]*c[1]]*
     f[b[4]*c[2]])/2541865828329 - 
  (19770880*f[b[1]*c[1]]*f[b[5]*c[1]]*f[b[4]*c[2]])/387420489 + 
  (98854400*f[a[1]^2*b[1]*c[1]]*f[b[5]*c[1]]*f[b[4]*c[2]])/
   10460353203 - (494272000*f[a[1]^4*b[1]*c[1]]*f[b[5]*c[1]]*
     f[b[4]*c[2]])/94143178827 - 
  (514042880*f[a[2]^2*b[1]*c[1]]*f[b[5]*c[1]]*f[b[4]*c[2]])/
   94143178827 - (632668160*f[a[1]*a[3]*b[1]*c[1]]*f[b[5]*c[1]]*
     f[b[4]*c[2]])/94143178827 + 
  (1229127680*f[b[3]*c[1]]*f[b[5]*c[1]]*f[b[4]*c[2]])/10460353203 - 
  (6145638400*f[a[1]^2*b[3]*c[1]]*f[b[5]*c[1]]*f[b[4]*c[2]])/
   282429536481 - (23672422400*f[b[5]*c[1]]^2*f[b[4]*c[2]])/
   847288609443 + (2293760*f[b[2]*c[1]]*f[b[1]*c[2]]*f[b[4]*c[2]])/
   14348907 - (11468800*f[a[1]^2*b[2]*c[1]]*f[b[1]*c[2]]*f[b[4]*c[2]])/
   387420489 + (16384000*f[b[4]*c[1]]*f[b[1]*c[2]]*f[b[4]*c[2]])/
   1162261467 + (4096000*f[a[2]]*f[a[1]*b[1]*c[2]]*f[b[4]*c[2]])/
   129140163 - (20480000*f[a[1]^2*a[2]]*f[a[1]*b[1]*c[2]]*
     f[b[4]*c[2]])/3486784401 + 
  (102400000*f[a[1]^4*a[2]]*f[a[1]*b[1]*c[2]]*f[b[4]*c[2]])/
   31381059609 + (106496000*f[a[2]^3]*f[a[1]*b[1]*c[2]]*f[b[4]*c[2]])/
   10460353203 + (131072000*f[a[1]*a[2]*a[3]]*f[a[1]*b[1]*c[2]]*
     f[b[4]*c[2]])/31381059609 - 
  (16384000*f[a[4]]*f[a[1]*b[1]*c[2]]*f[b[4]*c[2]])/1162261467 + 
  (81920000*f[a[1]^2*a[4]]*f[a[1]*b[1]*c[2]]*f[b[4]*c[2]])/
   31381059609 + (102400000*f[a[6]]*f[a[1]*b[1]*c[2]]*f[b[4]*c[2]])/
   10460353203 + (89292800*f[a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[b[4]*c[2]])/1162261467 - 
  (446464000*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[2]]*f[b[4]*c[2]])/
   31381059609 - (357171200*f[a[4]*b[1]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[b[4]*c[2]])/10460353203 + 
  (36700160*f[a[1]*b[2]*c[1]]*f[a[1]*b[1]*c[2]]*f[b[4]*c[2]])/
   387420489 - (183500800*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[b[4]*c[2]])/3486784401 - 
  (36700160*f[a[3]*b[2]*c[1]]*f[a[1]*b[1]*c[2]]*f[b[4]*c[2]])/
   3486784401 + (2212495360*f[a[2]*b[3]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[b[4]*c[2]])/31381059609 + 
  (262144000*f[a[1]*b[4]*c[1]]*f[a[1]*b[1]*c[2]]*f[b[4]*c[2]])/
   31381059609 + (131072000*f[a[1]*a[2]]*f[a[1]^2*b[1]*c[2]]*
     f[b[4]*c[2]])/3486784401 - 
  (655360000*f[a[1]^3*a[2]]*f[a[1]^2*b[1]*c[2]]*f[b[4]*c[2]])/
   31381059609 - (131072000*f[a[2]*a[3]]*f[a[1]^2*b[1]*c[2]]*
     f[b[4]*c[2]])/31381059609 - 
  (524288000*f[a[1]*a[4]]*f[a[1]^2*b[1]*c[2]]*f[b[4]*c[2]])/
   31381059609 + (2857369600*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]]*
     f[b[4]*c[2]])/31381059609 - 
  (11468800*f[b[2]*c[1]]*f[a[1]^2*b[1]*c[2]]*f[b[4]*c[2]])/387420489 + 
  (410583040*f[a[1]^2*b[2]*c[1]]*f[a[1]^2*b[1]*c[2]]*f[b[4]*c[2]])/
   3486784401 - (81920000*f[b[4]*c[1]]*f[a[1]^2*b[1]*c[2]]*
     f[b[4]*c[2]])/31381059609 - 
  (20480000*f[a[2]]*f[a[1]^3*b[1]*c[2]]*f[b[4]*c[2]])/1162261467 + 
  (733184000*f[a[1]^2*a[2]]*f[a[1]^3*b[1]*c[2]]*f[b[4]*c[2]])/
   10460353203 - (21483520000*f[a[1]^4*a[2]]*f[a[1]^3*b[1]*c[2]]*
     f[b[4]*c[2]])/282429536481 + 
  (28762112000*f[a[2]^3]*f[a[1]^3*b[1]*c[2]]*f[b[4]*c[2]])/
   847288609443 - (917504000*f[a[1]*a[2]*a[3]]*f[a[1]^3*b[1]*c[2]]*
     f[b[4]*c[2]])/94143178827 + 
  (81920000*f[a[4]]*f[a[1]^3*b[1]*c[2]]*f[b[4]*c[2]])/10460353203 - 
  (2932736000*f[a[1]^2*a[4]]*f[a[1]^3*b[1]*c[2]]*f[b[4]*c[2]])/
   94143178827 - (512000000*f[a[6]]*f[a[1]^3*b[1]*c[2]]*f[b[4]*c[2]])/
   94143178827 - (446464000*f[a[2]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[b[4]*c[2]])/10460353203 + 
  (15983411200*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[b[4]*c[2]])/94143178827 + 
  (1785856000*f[a[4]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*f[b[4]*c[2]])/
   94143178827 - (183500800*f[a[1]*b[2]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[b[4]*c[2]])/3486784401 + 
  (21542993920*f[a[1]^3*b[2]*c[1]]*f[a[1]^3*b[1]*c[2]]*f[b[4]*c[2]])/
   94143178827 + (183500800*f[a[3]*b[2]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[b[4]*c[2]])/31381059609 - 
  (11062476800*f[a[2]*b[3]*c[1]]*f[a[1]^3*b[1]*c[2]]*f[b[4]*c[2]])/
   282429536481 - (1310720000*f[a[1]*b[4]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[b[4]*c[2]])/282429536481 - 
  (4096000*f[a[1]]*f[a[2]*b[1]*c[2]]*f[b[4]*c[2]])/129140163 + 
  (20480000*f[a[1]^3]*f[a[2]*b[1]*c[2]]*f[b[4]*c[2]])/1162261467 - 
  (512000000*f[a[1]^5]*f[a[2]*b[1]*c[2]]*f[b[4]*c[2]])/31381059609 - 
  (106496000*f[a[1]*a[2]^2]*f[a[2]*b[1]*c[2]]*f[b[4]*c[2]])/
   31381059609 - (20480000*f[a[3]]*f[a[2]*b[1]*c[2]]*f[b[4]*c[2]])/
   387420489 + (45056000*f[a[1]^2*a[3]]*f[a[2]*b[1]*c[2]]*
     f[b[4]*c[2]])/31381059609 + 
  (225280000*f[a[5]]*f[a[2]*b[1]*c[2]]*f[b[4]*c[2]])/10460353203 - 
  (89292800*f[a[1]*b[1]*c[1]]*f[a[2]*b[1]*c[2]]*f[b[4]*c[2]])/
   1162261467 + (446464000*f[a[1]^3*b[1]*c[1]]*f[a[2]*b[1]*c[2]]*
     f[b[4]*c[2]])/10460353203 - 
  (446464000*f[a[3]*b[1]*c[1]]*f[a[2]*b[1]*c[2]]*f[b[4]*c[2]])/
   3486784401 - (587202560*f[a[2]*b[2]*c[1]]*f[a[2]*b[1]*c[2]]*
     f[b[4]*c[2]])/3486784401 - 
  (2212495360*f[a[1]*b[3]*c[1]]*f[a[2]*b[1]*c[2]]*f[b[4]*c[2]])/
   31381059609 - (131072000*f[a[1]^2]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[4]*c[2]])/3486784401 + 
  (1310720000*f[a[1]^4]*f[a[1]*a[2]*b[1]*c[2]]*f[b[4]*c[2]])/
   31381059609 - (16384000000*f[a[1]^6]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[4]*c[2]])/282429536481 - 
  (2097152000*f[a[2]^2]*f[a[1]*a[2]*b[1]*c[2]]*f[b[4]*c[2]])/
   31381059609 + (262144000*f[a[1]^2*a[2]^2]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[4]*c[2]])/31381059609 - 
  (917504000*f[a[1]*a[3]]*f[a[1]*a[2]*b[1]*c[2]]*f[b[4]*c[2]])/
   31381059609 + (131072000*f[a[1]^3*a[3]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[4]*c[2]])/94143178827 + 
  (655360000*f[a[3]^2]*f[a[1]*a[2]*b[1]*c[2]]*f[b[4]*c[2]])/
   94143178827 + (41943040000*f[a[2]*a[4]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[4]*c[2]])/2541865828329 + 
  (28180480000*f[a[1]*a[5]]*f[a[1]*a[2]*b[1]*c[2]]*f[b[4]*c[2]])/
   2541865828329 - (2857369600*f[a[1]^2*b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]]*f[b[4]*c[2]])/31381059609 + 
  (28573696000*f[a[1]^4*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[4]*c[2]])/282429536481 - 
  (45717913600*f[a[2]^2*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[4]*c[2]])/282429536481 - 
  (20001587200*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[4]*c[2]])/282429536481 - 
  (37580963840*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[4]*c[2]])/282429536481 - 
  (70799851520*f[a[1]^2*b[3]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[4]*c[2]])/847288609443 + 
  (20480000*f[a[2]]*f[a[3]*b[1]*c[2]]*f[b[4]*c[2]])/387420489 - 
  (102400000*f[a[1]^2*a[2]]*f[a[3]*b[1]*c[2]]*f[b[4]*c[2]])/
   10460353203 + (512000000*f[a[1]^4*a[2]]*f[a[3]*b[1]*c[2]]*
     f[b[4]*c[2]])/94143178827 + 
  (532480000*f[a[2]^3]*f[a[3]*b[1]*c[2]]*f[b[4]*c[2]])/31381059609 + 
  (655360000*f[a[1]*a[2]*a[3]]*f[a[3]*b[1]*c[2]]*f[b[4]*c[2]])/
   94143178827 + (802816000*f[a[4]]*f[a[3]*b[1]*c[2]]*f[b[4]*c[2]])/
   10460353203 - (4014080000*f[a[1]^2*a[4]]*f[a[3]*b[1]*c[2]]*
     f[b[4]*c[2]])/282429536481 - 
  (26021888000*f[a[6]]*f[a[3]*b[1]*c[2]]*f[b[4]*c[2]])/847288609443 + 
  (446464000*f[a[2]*b[1]*c[1]]*f[a[3]*b[1]*c[2]]*f[b[4]*c[2]])/
   3486784401 - (2232320000*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[b[4]*c[2]])/94143178827 + 
  (17501388800*f[a[4]*b[1]*c[1]]*f[a[3]*b[1]*c[2]]*f[b[4]*c[2]])/
   94143178827 - (36700160*f[a[1]*b[2]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[b[4]*c[2]])/3486784401 + 
  (183500800*f[a[1]^3*b[2]*c[1]]*f[a[3]*b[1]*c[2]]*f[b[4]*c[2]])/
   31381059609 + (23598202880*f[a[3]*b[2]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[b[4]*c[2]])/94143178827 + 
  (11062476800*f[a[2]*b[3]*c[1]]*f[a[3]*b[1]*c[2]]*f[b[4]*c[2]])/
   94143178827 - (262144000*f[a[1]*b[4]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[b[4]*c[2]])/282429536481 - 
  (80000*f[1]*f[b[2]*c[2]]*f[b[4]*c[2]])/531441 + 
  (400000*f[a[1]^2]*f[b[2]*c[2]]*f[b[4]*c[2]])/14348907 - 
  (2000000*f[a[1]^4]*f[b[2]*c[2]]*f[b[4]*c[2]])/129140163 + 
  (50000000*f[a[1]^6]*f[b[2]*c[2]]*f[b[4]*c[2]])/3486784401 - 
  (2080000*f[a[2]^2]*f[b[2]*c[2]]*f[b[4]*c[2]])/129140163 + 
  (10400000*f[a[1]^2*a[2]^2]*f[b[2]*c[2]]*f[b[4]*c[2]])/3486784401 - 
  (2560000*f[a[1]*a[3]]*f[b[2]*c[2]]*f[b[4]*c[2]])/129140163 + 
  (12800000*f[a[1]^3*a[3]]*f[b[2]*c[2]]*f[b[4]*c[2]])/1162261467 + 
  (71440000*f[a[3]^2]*f[b[2]*c[2]]*f[b[4]*c[2]])/3486784401 + 
  (163840000*f[a[2]*a[4]]*f[b[2]*c[2]]*f[b[4]*c[2]])/10460353203 + 
  (166400000*f[a[1]*a[5]]*f[b[2]*c[2]]*f[b[4]*c[2]])/10460353203 - 
  (52277120*f[b[1]*c[1]]*f[b[2]*c[2]]*f[b[4]*c[2]])/129140163 + 
  (261385600*f[a[1]^2*b[1]*c[1]]*f[b[2]*c[2]]*f[b[4]*c[2]])/
   3486784401 - (1306928000*f[a[1]^4*b[1]*c[1]]*f[b[2]*c[2]]*
     f[b[4]*c[2]])/31381059609 - 
  (1359205120*f[a[2]^2*b[1]*c[1]]*f[b[2]*c[2]]*f[b[4]*c[2]])/
   31381059609 - (1672867840*f[a[1]*a[3]*b[1]*c[1]]*f[b[2]*c[2]]*
     f[b[4]*c[2]])/31381059609 - 
  (149357056*f[b[3]*c[1]]*f[b[2]*c[2]]*f[b[4]*c[2]])/387420489 + 
  (746785280*f[a[1]^2*b[3]*c[1]]*f[b[2]*c[2]]*f[b[4]*c[2]])/
   10460353203 + (484318720*f[b[5]*c[1]]*f[b[2]*c[2]]*f[b[4]*c[2]])/
   3486784401 - (49600*f[b[2]*c[2]]^2*f[b[4]*c[2]])/531441 - 
  (1280000*f[a[1]]*f[a[1]*b[2]*c[2]]*f[b[4]*c[2]])/14348907 + 
  (6400000*f[a[1]^3]*f[a[1]*b[2]*c[2]]*f[b[4]*c[2]])/129140163 - 
  (160000000*f[a[1]^5]*f[a[1]*b[2]*c[2]]*f[b[4]*c[2]])/3486784401 - 
  (33280000*f[a[1]*a[2]^2]*f[a[1]*b[2]*c[2]]*f[b[4]*c[2]])/3486784401 + 
  (1280000*f[a[3]]*f[a[1]*b[2]*c[2]]*f[b[4]*c[2]])/129140163 - 
  (29440000*f[a[1]^2*a[3]]*f[a[1]*b[2]*c[2]]*f[b[4]*c[2]])/1162261467 - 
  (83200000*f[a[5]]*f[a[1]*b[2]*c[2]]*f[b[4]*c[2]])/10460353203 - 
  (836433920*f[a[1]*b[1]*c[1]]*f[a[1]*b[2]*c[2]]*f[b[4]*c[2]])/
   3486784401 + (4182169600*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[2]*c[2]]*
     f[b[4]*c[2]])/31381059609 + 
  (836433920*f[a[3]*b[1]*c[1]]*f[a[1]*b[2]*c[2]]*f[b[4]*c[2]])/
   31381059609 - (2581397504*f[a[2]*b[2]*c[1]]*f[a[1]*b[2]*c[2]]*
     f[b[4]*c[2]])/10460353203 - 
  (2389712896*f[a[1]*b[3]*c[1]]*f[a[1]*b[2]*c[2]]*f[b[4]*c[2]])/
   10460353203 + (4096000*f[a[2]*b[1]*c[2]]*f[a[1]*b[2]*c[2]]*
     f[b[4]*c[2]])/129140163 - 
  (793600*f[a[1]*b[2]*c[2]]^2*f[b[4]*c[2]])/14348907 + 
  (400000*f[1]*f[a[1]^2*b[2]*c[2]]*f[b[4]*c[2]])/14348907 - 
  (14320000*f[a[1]^2]*f[a[1]^2*b[2]*c[2]]*f[b[4]*c[2]])/129140163 + 
  (419600000*f[a[1]^4]*f[a[1]^2*b[2]*c[2]]*f[b[4]*c[2]])/3486784401 - 
  (15610000000*f[a[1]^6]*f[a[1]^2*b[2]*c[2]]*f[b[4]*c[2]])/
   94143178827 - (624160000*f[a[2]^2]*f[a[1]^2*b[2]*c[2]]*
     f[b[4]*c[2]])/10460353203 - 
  (74080000*f[a[1]^2*a[2]^2]*f[a[1]^2*b[2]*c[2]]*f[b[4]*c[2]])/
   282429536481 + (17920000*f[a[1]*a[3]]*f[a[1]^2*b[2]*c[2]]*
     f[b[4]*c[2]])/1162261467 - 
  (1579520000*f[a[1]^3*a[3]]*f[a[1]^2*b[2]*c[2]]*f[b[4]*c[2]])/
   31381059609 - (480080000*f[a[3]^2]*f[a[1]^2*b[2]*c[2]]*
     f[b[4]*c[2]])/94143178827 + 
  (7045120000*f[a[2]*a[4]]*f[a[1]^2*b[2]*c[2]]*f[b[4]*c[2]])/
   282429536481 - (1164800000*f[a[1]*a[5]]*f[a[1]^2*b[2]*c[2]]*
     f[b[4]*c[2]])/94143178827 + 
  (261385600*f[b[1]*c[1]]*f[a[1]^2*b[2]*c[2]]*f[b[4]*c[2]])/
   3486784401 - (9357604480*f[a[1]^2*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]]*
     f[b[4]*c[2]])/31381059609 + 
  (274193494400*f[a[1]^4*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]]*f[b[4]*c[2]])/
   847288609443 - (407866090240*f[a[2]^2*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]]*
     f[b[4]*c[2]])/2541865828329 + 
  (11710074880*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]]*
     f[b[4]*c[2]])/282429536481 - 
  (82604720128*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]^2*b[2]*c[2]]*
     f[b[4]*c[2]])/282429536481 + 
  (746785280*f[b[3]*c[1]]*f[a[1]^2*b[2]*c[2]]*f[b[4]*c[2]])/
   10460353203 - (26734913024*f[a[1]^2*b[3]*c[1]]*f[a[1]^2*b[2]*c[2]]*
     f[b[4]*c[2]])/94143178827 - 
  (2421593600*f[b[5]*c[1]]*f[a[1]^2*b[2]*c[2]]*f[b[4]*c[2]])/
   94143178827 + (131072000*f[a[1]*a[2]*b[1]*c[2]]*f[a[1]^2*b[2]*c[2]]*
     f[b[4]*c[2]])/3486784401 + 
  (496000*f[b[2]*c[2]]*f[a[1]^2*b[2]*c[2]]*f[b[4]*c[2]])/14348907 - 
  (8878400*f[a[1]^2*b[2]*c[2]]^2*f[b[4]*c[2]])/129140163 + 
  (20480000*f[a[2]]*f[a[2]*b[2]*c[2]]*f[b[4]*c[2]])/129140163 - 
  (102400000*f[a[1]^2*a[2]]*f[a[2]*b[2]*c[2]]*f[b[4]*c[2]])/
   3486784401 + (512000000*f[a[1]^4*a[2]]*f[a[2]*b[2]*c[2]]*
     f[b[4]*c[2]])/31381059609 + 
  (532480000*f[a[2]^3]*f[a[2]*b[2]*c[2]]*f[b[4]*c[2]])/10460353203 + 
  (655360000*f[a[1]*a[2]*a[3]]*f[a[2]*b[2]*c[2]]*f[b[4]*c[2]])/
   31381059609 - (81920000*f[a[4]]*f[a[2]*b[2]*c[2]]*f[b[4]*c[2]])/
   10460353203 + (409600000*f[a[1]^2*a[4]]*f[a[2]*b[2]*c[2]]*
     f[b[4]*c[2]])/282429536481 + 
  (225280000*f[a[6]]*f[a[2]*b[2]*c[2]]*f[b[4]*c[2]])/31381059609 + 
  (13382942720*f[a[2]*b[1]*c[1]]*f[a[2]*b[2]*c[2]]*f[b[4]*c[2]])/
   31381059609 - (66914713600*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[2]*b[2]*c[2]]*f[b[4]*c[2]])/847288609443 - 
  (53531770880*f[a[4]*b[1]*c[1]]*f[a[2]*b[2]*c[2]]*f[b[4]*c[2]])/
   2541865828329 + (2581397504*f[a[1]*b[2]*c[1]]*f[a[2]*b[2]*c[2]]*
     f[b[4]*c[2]])/10460353203 - 
  (12906987520*f[a[1]^3*b[2]*c[1]]*f[a[2]*b[2]*c[2]]*f[b[4]*c[2]])/
   94143178827 + (12906987520*f[a[3]*b[2]*c[1]]*f[a[2]*b[2]*c[2]]*
     f[b[4]*c[2]])/31381059609 + 
  (38235406336*f[a[2]*b[3]*c[1]]*f[a[2]*b[2]*c[2]]*f[b[4]*c[2]])/
   94143178827 + (18438553600*f[a[1]*b[4]*c[1]]*f[a[2]*b[2]*c[2]]*
     f[b[4]*c[2]])/847288609443 - 
  (4096000*f[a[1]*b[1]*c[2]]*f[a[2]*b[2]*c[2]]*f[b[4]*c[2]])/
   129140163 + (20480000*f[a[1]^3*b[1]*c[2]]*f[a[2]*b[2]*c[2]]*
     f[b[4]*c[2]])/1162261467 - 
  (20480000*f[a[3]*b[1]*c[2]]*f[a[2]*b[2]*c[2]]*f[b[4]*c[2]])/
   387420489 + (12697600*f[a[2]*b[2]*c[2]]^2*f[b[4]*c[2]])/129140163 - 
  (35323904*f[b[2]*c[1]]*f[b[3]*c[2]]*f[b[4]*c[2]])/129140163 + 
  (176619520*f[a[1]^2*b[2]*c[1]]*f[b[3]*c[2]]*f[b[4]*c[2]])/
   3486784401 - (252313600*f[b[4]*c[1]]*f[b[3]*c[2]]*f[b[4]*c[2]])/
   10460353203 - (15564800*f[a[2]]*f[a[1]*b[3]*c[2]]*f[b[4]*c[2]])/
   387420489 + (77824000*f[a[1]^2*a[2]]*f[a[1]*b[3]*c[2]]*
     f[b[4]*c[2]])/10460353203 - 
  (389120000*f[a[1]^4*a[2]]*f[a[1]*b[3]*c[2]]*f[b[4]*c[2]])/
   94143178827 - (404684800*f[a[2]^3]*f[a[1]*b[3]*c[2]]*f[b[4]*c[2]])/
   31381059609 - (498073600*f[a[1]*a[2]*a[3]]*f[a[1]*b[3]*c[2]]*
     f[b[4]*c[2]])/94143178827 + 
  (62259200*f[a[4]]*f[a[1]*b[3]*c[2]]*f[b[4]*c[2]])/3486784401 - 
  (311296000*f[a[1]^2*a[4]]*f[a[1]*b[3]*c[2]]*f[b[4]*c[2]])/
   94143178827 - (389120000*f[a[6]]*f[a[1]*b[3]*c[2]]*f[b[4]*c[2]])/
   31381059609 - (3263528960*f[a[2]*b[1]*c[1]]*f[a[1]*b[3]*c[2]]*
     f[b[4]*c[2]])/31381059609 + 
  (16317644800*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[3]*c[2]]*
     f[b[4]*c[2]])/847288609443 + 
  (13054115840*f[a[4]*b[1]*c[1]]*f[a[1]*b[3]*c[2]]*f[b[4]*c[2]])/
   282429536481 - (565182464*f[a[1]*b[2]*c[1]]*f[a[1]*b[3]*c[2]]*
     f[b[4]*c[2]])/3486784401 + 
  (2825912320*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[3]*c[2]]*f[b[4]*c[2]])/
   31381059609 + (565182464*f[a[3]*b[2]*c[1]]*f[a[1]*b[3]*c[2]]*
     f[b[4]*c[2]])/31381059609 - 
  (3068133376*f[a[2]*b[3]*c[1]]*f[a[1]*b[3]*c[2]]*f[b[4]*c[2]])/
   31381059609 - (4037017600*f[a[1]*b[4]*c[1]]*f[a[1]*b[3]*c[2]]*
     f[b[4]*c[2]])/282429536481 + 
  (15564800*f[a[2]*b[2]*c[2]]*f[a[1]*b[3]*c[2]]*f[b[4]*c[2]])/
   387420489 + (640000*f[1]*f[b[4]*c[2]]^2)/43046721 - 
  (3200000*f[a[1]^2]*f[b[4]*c[2]]^2)/1162261467 + 
  (16000000*f[a[1]^4]*f[b[4]*c[2]]^2)/10460353203 - 
  (400000000*f[a[1]^6]*f[b[4]*c[2]]^2)/282429536481 + 
  (16640000*f[a[2]^2]*f[b[4]*c[2]]^2)/10460353203 - 
  (83200000*f[a[1]^2*a[2]^2]*f[b[4]*c[2]]^2)/282429536481 + 
  (20480000*f[a[1]*a[3]]*f[b[4]*c[2]]^2)/10460353203 - 
  (102400000*f[a[1]^3*a[3]]*f[b[4]*c[2]]^2)/94143178827 - 
  (571520000*f[a[3]^2]*f[b[4]*c[2]]^2)/282429536481 - 
  (1310720000*f[a[2]*a[4]]*f[b[4]*c[2]]^2)/847288609443 - 
  (1331200000*f[a[1]*a[5]]*f[b[4]*c[2]]^2)/847288609443 + 
  (33664000*f[b[1]*c[1]]*f[b[4]*c[2]]^2)/1162261467 - 
  (168320000*f[a[1]^2*b[1]*c[1]]*f[b[4]*c[2]]^2)/31381059609 + 
  (841600000*f[a[1]^4*b[1]*c[1]]*f[b[4]*c[2]]^2)/282429536481 + 
  (875264000*f[a[2]^2*b[1]*c[1]]*f[b[4]*c[2]]^2)/282429536481 + 
  (1077248000*f[a[1]*a[3]*b[1]*c[1]]*f[b[4]*c[2]]^2)/282429536481 + 
  (252313600*f[b[3]*c[1]]*f[b[4]*c[2]]^2)/10460353203 - 
  (1261568000*f[a[1]^2*b[3]*c[1]]*f[b[4]*c[2]]^2)/282429536481 - 
  (6668288000*f[b[5]*c[1]]*f[b[4]*c[2]]^2)/847288609443 - 
  (640000*f[b[2]*c[2]]*f[b[4]*c[2]]^2)/43046721 + 
  (3200000*f[a[1]^2*b[2]*c[2]]*f[b[4]*c[2]]^2)/1162261467 - 
  (209*f[1]^2*f[b[1]*b[2]*c[1]*c[2]])/2187 - 
  (3344*f[a[1]]^2*f[b[1]*b[2]*c[1]*c[2]])/59049 + 
  (2090*f[1]*f[a[1]^2]*f[b[1]*b[2]*c[1]*c[2]])/59049 - 
  (37411*f[a[1]^2]^2*f[b[1]*b[2]*c[1]*c[2]])/531441 + 
  (33440*f[a[1]]*f[a[1]^3]*f[b[1]*b[2]*c[1]*c[2]])/531441 - 
  (1962928*f[a[1]^3]^2*f[b[1]*b[2]*c[1]*c[2]])/14348907 - 
  (10450*f[1]*f[a[1]^4]*f[b[1]*b[2]*c[1]*c[2]])/531441 + 
  (2192410*f[a[1]^2]*f[a[1]^4]*f[b[1]*b[2]*c[1]*c[2]])/14348907 - 
  (142070467*f[a[1]^4]^2*f[b[1]*b[2]*c[1]*c[2]])/387420489 - 
  (836000*f[a[1]]*f[a[1]^5]*f[b[1]*b[2]*c[1]*c[2]])/14348907 + 
  (183752800*f[a[1]^3]*f[a[1]^5]*f[b[1]*b[2]*c[1]*c[2]])/387420489 - 
  (4401055120*f[a[1]^5]^2*f[b[1]*b[2]*c[1]*c[2]])/3486784401 + 
  (261250*f[1]*f[a[1]^6]*f[b[1]*b[2]*c[1]*c[2]])/14348907 - 
  (81562250*f[a[1]^2]*f[a[1]^6]*f[b[1]*b[2]*c[1]*c[2]])/387420489 + 
  (698655650*f[a[1]^4]*f[a[1]^6]*f[b[1]*b[2]*c[1]*c[2]])/387420489 - 
  (167033350715*f[a[1]^6]^2*f[b[1]*b[2]*c[1]*c[2]])/31381059609 + 
  (53504*f[a[2]]^2*f[b[1]*b[2]*c[1]*c[2]])/531441 + 
  (3424256*f[a[1]*a[2]]^2*f[b[1]*b[2]*c[1]*c[2]])/43046721 - 
  (535040*f[a[2]]*f[a[1]^2*a[2]]*f[b[1]*b[2]*c[1]*c[2]])/14348907 + 
  (140983040*f[a[1]^2*a[2]]^2*f[b[1]*b[2]*c[1]*c[2]])/1162261467 - 
  (34242560*f[a[1]*a[2]]*f[a[1]^3*a[2]]*f[b[1]*b[2]*c[1]*c[2]])/
   387420489 + (962215936*f[a[1]^3*a[2]]^2*f[b[1]*b[2]*c[1]*c[2]])/
   3486784401 + (2675200*f[a[2]]*f[a[1]^4*a[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/129140163 - 
  (2779532800*f[a[1]^2*a[2]]*f[a[1]^4*a[2]]*f[b[1]*b[2]*c[1]*c[2]])/
   10460353203 + (237752568064*f[a[1]^4*a[2]]^2*f[b[1]*b[2]*c[1]*c[2]])/
   282429536481 - (10868*f[1]*f[a[2]^2]*f[b[1]*b[2]*c[1]*c[2]])/
   531441 - (3261236*f[a[1]^2]*f[a[2]^2]*f[b[1]*b[2]*c[1]*c[2]])/
   43046721 + (33427460*f[a[1]^4]*f[a[2]^2]*f[b[1]*b[2]*c[1]*c[2]])/
   387420489 - (421239500*f[a[1]^6]*f[a[2]^2]*f[b[1]*b[2]*c[1]*c[2]])/
   3486784401 - (9178444*f[a[2]^2]^2*f[b[1]*b[2]*c[1]*c[2]])/43046721 - 
  (173888*f[a[1]]*f[a[1]*a[2]^2]*f[b[1]*b[2]*c[1]*c[2]])/14348907 - 
  (52179776*f[a[1]^3]*f[a[1]*a[2]^2]*f[b[1]*b[2]*c[1]*c[2]])/
   387420489 + (2674196800*f[a[1]^5]*f[a[1]*a[2]^2]*
     f[b[1]*b[2]*c[1]*c[2]])/10460353203 - 
  (2198305472*f[a[1]*a[2]^2]^2*f[b[1]*b[2]*c[1]*c[2]])/10460353203 + 
  (54340*f[1]*f[a[1]^2*a[2]^2]*f[b[1]*b[2]*c[1]*c[2]])/14348907 - 
  (387068*f[a[1]^2]*f[a[1]^2*a[2]^2]*f[b[1]*b[2]*c[1]*c[2]])/
   1162261467 - (389626996*f[a[1]^4]*f[a[1]^2*a[2]^2]*
     f[b[1]*b[2]*c[1]*c[2]])/1162261467 + 
  (29226831700*f[a[1]^6]*f[a[1]^2*a[2]^2]*f[b[1]*b[2]*c[1]*c[2]])/
   31381059609 + (737029304*f[a[2]^2]*f[a[1]^2*a[2]^2]*
     f[b[1]*b[2]*c[1]*c[2]])/10460353203 - 
  (314077583204*f[a[1]^2*a[2]^2]^2*f[b[1]*b[2]*c[1]*c[2]])/847288609443 + 
  (2782208*f[a[2]]*f[a[2]^3]*f[b[1]*b[2]*c[1]*c[2]])/43046721 + 
  (834876416*f[a[1]^2*a[2]]*f[a[2]^3]*f[b[1]*b[2]*c[1]*c[2]])/
   3486784401 - (8557429760*f[a[1]^4*a[2]]*f[a[2]^3]*
     f[b[1]*b[2]*c[1]*c[2]])/31381059609 + 
  (7121382400*f[a[2]^3]^2*f[b[1]*b[2]*c[1]*c[2]])/10460353203 + 
  (6688*f[a[1]]*f[a[3]]*f[b[1]*b[2]*c[1]*c[2]])/531441 - 
  (33440*f[a[1]^3]*f[a[3]]*f[b[1]*b[2]*c[1]*c[2]])/4782969 + 
  (836000*f[a[1]^5]*f[a[3]]*f[b[1]*b[2]*c[1]*c[2]])/129140163 + 
  (173888*f[a[1]*a[2]^2]*f[a[3]]*f[b[1]*b[2]*c[1]*c[2]])/129140163 - 
  (2150192*f[a[3]]^2*f[b[1]*b[2]*c[1]*c[2]])/14348907 - 
  (13376*f[1]*f[a[1]*a[3]]*f[b[1]*b[2]*c[1]*c[2]])/531441 + 
  (93632*f[a[1]^2]*f[a[1]*a[3]]*f[b[1]*b[2]*c[1]*c[2]])/4782969 - 
  (2474560*f[a[1]^4]*f[a[1]*a[3]]*f[b[1]*b[2]*c[1]*c[2]])/129140163 + 
  (88616000*f[a[1]^6]*f[a[1]*a[3]]*f[b[1]*b[2]*c[1]*c[2]])/3486784401 - 
  (17469056*f[a[2]^2]*f[a[1]*a[3]]*f[b[1]*b[2]*c[1]*c[2]])/129140163 + 
  (92909696*f[a[1]^2*a[2]^2]*f[a[1]*a[3]]*f[b[1]*b[2]*c[1]*c[2]])/
   3486784401 - (35205632*f[a[1]*a[3]]^2*f[b[1]*b[2]*c[1]*c[2]])/
   387420489 - (153824*f[a[1]]*f[a[1]^2*a[3]]*f[b[1]*b[2]*c[1]*c[2]])/
   4782969 + (5731616*f[a[1]^3]*f[a[1]^2*a[3]]*f[b[1]*b[2]*c[1]*c[2]])/
   129140163 - (228896800*f[a[1]^5]*f[a[1]^2*a[3]]*
     f[b[1]*b[2]*c[1]*c[2]])/3486784401 - 
  (1624849600*f[a[1]*a[2]^2]*f[a[1]^2*a[3]]*f[b[1]*b[2]*c[1]*c[2]])/
   10460353203 + (22786016*f[a[3]]*f[a[1]^2*a[3]]*
     f[b[1]*b[2]*c[1]*c[2]])/387420489 - 
  (404145808*f[a[1]^2*a[3]]^2*f[b[1]*b[2]*c[1]*c[2]])/3486784401 + 
  (66880*f[1]*f[a[1]^3*a[3]]*f[b[1]*b[2]*c[1]*c[2]])/4782969 - 
  (8252992*f[a[1]^2]*f[a[1]^3*a[3]]*f[b[1]*b[2]*c[1]*c[2]])/129140163 + 
  (461726144*f[a[1]^4]*f[a[1]^3*a[3]]*f[b[1]*b[2]*c[1]*c[2]])/
   3486784401 - (943342400*f[a[1]^6]*f[a[1]^3*a[3]]*
     f[b[1]*b[2]*c[1]*c[2]])/3486784401 + 
  (152459648*f[a[2]^2]*f[a[1]^3*a[3]]*f[b[1]*b[2]*c[1]*c[2]])/
   3486784401 - (8641671808*f[a[1]^2*a[2]^2]*f[a[1]^3*a[3]]*
     f[b[1]*b[2]*c[1]*c[2]])/31381059609 + 
  (372601856*f[a[1]*a[3]]*f[a[1]^3*a[3]]*f[b[1]*b[2]*c[1]*c[2]])/
   3486784401 - (21795710464*f[a[1]^3*a[3]]^2*f[b[1]*b[2]*c[1]*c[2]])/
   94143178827 + (6848512*f[a[1]*a[2]]*f[a[2]*a[3]]*
     f[b[1]*b[2]*c[1]*c[2]])/129140163 - 
  (34242560*f[a[1]^3*a[2]]*f[a[2]*a[3]]*f[b[1]*b[2]*c[1]*c[2]])/
   1162261467 + (743063552*f[a[2]*a[3]]^2*f[b[1]*b[2]*c[1]*c[2]])/
   3486784401 + (3424256*f[a[2]]*f[a[1]*a[2]*a[3]]*
     f[b[1]*b[2]*c[1]*c[2]])/129140163 + 
  (551305216*f[a[1]^2*a[2]]*f[a[1]*a[2]*a[3]]*f[b[1]*b[2]*c[1]*c[2]])/
   10460353203 - (5769871360*f[a[1]^4*a[2]]*f[a[1]*a[2]*a[3]]*
     f[b[1]*b[2]*c[1]*c[2]])/94143178827 + 
  (4472078336*f[a[2]^3]*f[a[1]*a[2]*a[3]]*f[b[1]*b[2]*c[1]*c[2]])/
   10460353203 + (43857870848*f[a[1]*a[2]*a[3]]^2*
     f[b[1]*b[2]*c[1]*c[2]])/282429536481 + 
  (373274*f[1]*f[a[3]^2]*f[b[1]*b[2]*c[1]*c[2]])/14348907 - 
  (2508418*f[a[1]^2]*f[a[3]^2]*f[b[1]*b[2]*c[1]*c[2]])/387420489 + 
  (15752330*f[a[1]^4]*f[a[3]^2]*f[b[1]*b[2]*c[1]*c[2]])/3486784401 - 
  (474064250*f[a[1]^6]*f[a[3]^2]*f[b[1]*b[2]*c[1]*c[2]])/94143178827 - 
  (760752476*f[a[2]^2]*f[a[3]^2]*f[b[1]*b[2]*c[1]*c[2]])/3486784401 + 
  (3787069132*f[a[1]^2*a[2]^2]*f[a[3]^2]*f[b[1]*b[2]*c[1]*c[2]])/
   94143178827 + (49852352*f[a[1]*a[3]]*f[a[3]^2]*
     f[b[1]*b[2]*c[1]*c[2]])/1162261467 - 
  (256110272*f[a[1]^3*a[3]]*f[a[3]^2]*f[b[1]*b[2]*c[1]*c[2]])/
   10460353203 - (14803005811*f[a[3]^2]^2*f[b[1]*b[2]*c[1]*c[2]])/
   31381059609 - (428032*f[a[2]]*f[a[4]]*f[b[1]*b[2]*c[1]*c[2]])/
   43046721 + (2140160*f[a[1]^2*a[2]]*f[a[4]]*f[b[1]*b[2]*c[1]*c[2]])/
   1162261467 - (10700800*f[a[1]^4*a[2]]*f[a[4]]*
     f[b[1]*b[2]*c[1]*c[2]])/10460353203 - 
  (11128832*f[a[2]^3]*f[a[4]]*f[b[1]*b[2]*c[1]*c[2]])/3486784401 - 
  (13697024*f[a[1]*a[2]*a[3]]*f[a[4]]*f[b[1]*b[2]*c[1]*c[2]])/
   10460353203 + (76189696*f[a[4]]^2*f[b[1]*b[2]*c[1]*c[2]])/387420489 - 
  (27394048*f[a[1]*a[2]]*f[a[1]*a[4]]*f[b[1]*b[2]*c[1]*c[2]])/
   1162261467 + (136970240*f[a[1]^3*a[2]]*f[a[1]*a[4]]*
     f[b[1]*b[2]*c[1]*c[2]])/10460353203 + 
  (1013579776*f[a[2]*a[3]]*f[a[1]*a[4]]*f[b[1]*b[2]*c[1]*c[2]])/
   10460353203 + (1260126208*f[a[1]*a[4]]^2*f[b[1]*b[2]*c[1]*c[2]])/
   10460353203 + (2140160*f[a[2]]*f[a[1]^2*a[4]]*
     f[b[1]*b[2]*c[1]*c[2]])/1162261467 - 
  (171640832*f[a[1]^2*a[2]]*f[a[1]^2*a[4]]*f[b[1]*b[2]*c[1]*c[2]])/
   3486784401 + (15394170880*f[a[1]^4*a[2]]*f[a[1]^2*a[4]]*
     f[b[1]*b[2]*c[1]*c[2]])/282429536481 - 
  (3339505664*f[a[2]^3]*f[a[1]^2*a[4]]*f[b[1]*b[2]*c[1]*c[2]])/
   282429536481 + (3684499456*f[a[1]*a[2]*a[3]]*f[a[1]^2*a[4]]*
     f[b[1]*b[2]*c[1]*c[2]])/31381059609 - 
  (761896960*f[a[4]]*f[a[1]^2*a[4]]*f[b[1]*b[2]*c[1]*c[2]])/
   10460353203 + (14514565120*f[a[1]^2*a[4]]^2*f[b[1]*b[2]*c[1]*c[2]])/
   94143178827 + (856064*f[1]*f[a[2]*a[4]]*f[b[1]*b[2]*c[1]*c[2]])/
   43046721 + (36810752*f[a[1]^2]*f[a[2]*a[4]]*f[b[1]*b[2]*c[1]*c[2]])/
   1162261467 - (389509120*f[a[1]^4]*f[a[2]*a[4]]*
     f[b[1]*b[2]*c[1]*c[2]])/10460353203 + 
  (14874112000*f[a[1]^6]*f[a[2]*a[4]]*f[b[1]*b[2]*c[1]*c[2]])/
   282429536481 + (80470016*f[a[2]^2]*f[a[2]*a[4]]*
     f[b[1]*b[2]*c[1]*c[2]])/3486784401 - 
  (1712128*f[a[1]^2*a[2]^2]*f[a[2]*a[4]]*f[b[1]*b[2]*c[1]*c[2]])/
   3486784401 - (671154176*f[a[1]*a[3]]*f[a[2]*a[4]]*
     f[b[1]*b[2]*c[1]*c[2]])/10460353203 + 
  (4670685184*f[a[1]^3*a[3]]*f[a[2]*a[4]]*f[b[1]*b[2]*c[1]*c[2]])/
   94143178827 - (91370278912*f[a[3]^2]*f[a[2]*a[4]]*
     f[b[1]*b[2]*c[1]*c[2]])/282429536481 - 
  (176636821504*f[a[2]*a[4]]^2*f[b[1]*b[2]*c[1]*c[2]])/847288609443 - 
  (434720*f[a[1]]*f[a[5]]*f[b[1]*b[2]*c[1]*c[2]])/43046721 + 
  (2173600*f[a[1]^3]*f[a[5]]*f[b[1]*b[2]*c[1]*c[2]])/387420489 - 
  (54340000*f[a[1]^5]*f[a[5]]*f[b[1]*b[2]*c[1]*c[2]])/10460353203 - 
  (11302720*f[a[1]*a[2]^2]*f[a[5]]*f[b[1]*b[2]*c[1]*c[2]])/
   10460353203 + (1571680*f[a[3]]*f[a[5]]*f[b[1]*b[2]*c[1]*c[2]])/
   129140163 - (51397280*f[a[1]^2*a[3]]*f[a[5]]*
     f[b[1]*b[2]*c[1]*c[2]])/10460353203 - 
  (854542480*f[a[5]]^2*f[b[1]*b[2]*c[1]*c[2]])/3486784401 + 
  (869440*f[1]*f[a[1]*a[5]]*f[b[1]*b[2]*c[1]*c[2]])/43046721 - 
  (6086080*f[a[1]^2]*f[a[1]*a[5]]*f[b[1]*b[2]*c[1]*c[2]])/387420489 + 
  (160846400*f[a[1]^4]*f[a[1]*a[5]]*f[b[1]*b[2]*c[1]*c[2]])/
   10460353203 - (5760040000*f[a[1]^6]*f[a[1]*a[5]]*
     f[b[1]*b[2]*c[1]*c[2]])/282429536481 + 
  (587607680*f[a[2]^2]*f[a[1]*a[5]]*f[b[1]*b[2]*c[1]*c[2]])/
   10460353203 - (366636160*f[a[1]^2*a[2]^2]*f[a[1]*a[5]]*
     f[b[1]*b[2]*c[1]*c[2]])/31381059609 + 
  (110218240*f[a[1]*a[3]]*f[a[1]*a[5]]*f[b[1]*b[2]*c[1]*c[2]])/
   10460353203 - (996244480*f[a[1]^3*a[3]]*f[a[1]*a[5]]*
     f[b[1]*b[2]*c[1]*c[2]])/94143178827 - 
  (1229053760*f[a[3]^2]*f[a[1]*a[5]]*f[b[1]*b[2]*c[1]*c[2]])/
   282429536481 - (116356218880*f[a[2]*a[4]]*f[a[1]*a[5]]*
     f[b[1]*b[2]*c[1]*c[2]])/847288609443 - 
  (124184389120*f[a[1]*a[5]]^2*f[b[1]*b[2]*c[1]*c[2]])/847288609443 + 
  (1177088*f[a[2]]*f[a[6]]*f[b[1]*b[2]*c[1]*c[2]])/129140163 - 
  (5885440*f[a[1]^2*a[2]]*f[a[6]]*f[b[1]*b[2]*c[1]*c[2]])/3486784401 + 
  (29427200*f[a[1]^4*a[2]]*f[a[6]]*f[b[1]*b[2]*c[1]*c[2]])/
   31381059609 + (30604288*f[a[2]^3]*f[a[6]]*f[b[1]*b[2]*c[1]*c[2]])/
   10460353203 + (37666816*f[a[1]*a[2]*a[3]]*f[a[6]]*
     f[b[1]*b[2]*c[1]*c[2]])/31381059609 - 
  (38094848*f[a[4]]*f[a[6]]*f[b[1]*b[2]*c[1]*c[2]])/3486784401 + 
  (190474240*f[a[1]^2*a[4]]*f[a[6]]*f[b[1]*b[2]*c[1]*c[2]])/
   94143178827 + (27523046144*f[a[6]]^2*f[b[1]*b[2]*c[1]*c[2]])/
   94143178827 - (76898*f[1]*f[b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   177147 + (384490*f[a[1]^2]*f[b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   4782969 - (1922450*f[a[1]^4]*f[b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   43046721 + (48061250*f[a[1]^6]*f[b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   1162261467 - (1999348*f[a[2]^2]*f[b[1]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/43046721 + 
  (9996740*f[a[1]^2*a[2]^2]*f[b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   1162261467 - (2460736*f[a[1]*a[3]]*f[b[1]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/43046721 + 
  (12303680*f[a[1]^3*a[3]]*f[b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   387420489 + (68669914*f[a[3]^2]*f[b[1]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/1162261467 + 
  (157487104*f[a[2]*a[4]]*f[b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   3486784401 + (159947840*f[a[1]*a[5]]*f[b[1]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/3486784401 - 
  (6571*f[b[1]*c[1]]^2*f[b[1]*b[2]*c[1]*c[2]])/59049 - 
  (1230368*f[a[1]]*f[a[1]*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/4782969 + 
  (6151840*f[a[1]^3]*f[a[1]*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   43046721 - (153796000*f[a[1]^5]*f[a[1]*b[1]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/1162261467 - 
  (31989568*f[a[1]*a[2]^2]*f[a[1]*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   1162261467 + (1230368*f[a[3]]*f[a[1]*b[1]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/43046721 - 
  (28298464*f[a[1]^2*a[3]]*f[a[1]*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   387420489 - (79973920*f[a[5]]*f[a[1]*b[1]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/3486784401 - 
  (105136*f[a[1]*b[1]*c[1]]^2*f[b[1]*b[2]*c[1]*c[2]])/1594323 + 
  (384490*f[1]*f[a[1]^2*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/4782969 - 
  (13764742*f[a[1]^2]*f[a[1]^2*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   43046721 + (403330010*f[a[1]^4]*f[a[1]^2*b[1]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/1162261467 - 
  (15004722250*f[a[1]^6]*f[a[1]^2*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   31381059609 - (599958196*f[a[2]^2]*f[a[1]^2*b[1]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/3486784401 - 
  (71207548*f[a[1]^2*a[2]^2]*f[a[1]^2*b[1]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/94143178827 + 
  (17225152*f[a[1]*a[3]]*f[a[1]^2*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   387420489 - (1518274112*f[a[1]^3*a[3]]*f[a[1]^2*b[1]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/10460353203 - 
  (461464898*f[a[3]^2]*f[a[1]^2*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   31381059609 + (6771945472*f[a[2]*a[4]]*f[a[1]^2*b[1]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/94143178827 - 
  (1119634880*f[a[1]*a[5]]*f[a[1]^2*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   31381059609 + (65710*f[b[1]*c[1]]*f[a[1]^2*b[1]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/1594323 - 
  (1176209*f[a[1]^2*b[1]*c[1]]^2*f[b[1]*b[2]*c[1]*c[2]])/14348907 + 
  (6151840*f[a[1]]*f[a[1]^3*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   43046721 - (722226016*f[a[1]^3]*f[a[1]^3*b[1]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/1162261467 + 
  (33804360800*f[a[1]^5]*f[a[1]^3*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   31381059609 - (9599331136*f[a[1]*a[2]^2]*f[a[1]^3*b[1]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/31381059609 - 
  (6151840*f[a[3]]*f[a[1]^3*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   387420489 + (1054425376*f[a[1]^2*a[3]]*f[a[1]^3*b[1]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/10460353203 + 
  (399869600*f[a[5]]*f[a[1]^3*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   31381059609 + (1051360*f[a[1]*b[1]*c[1]]*f[a[1]^3*b[1]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/14348907 - 
  (61714832*f[a[1]^3*b[1]*c[1]]^2*f[b[1]*b[2]*c[1]*c[2]])/387420489 - 
  (1922450*f[1]*f[a[1]^4*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/43046721 + 
  (403330010*f[a[1]^2]*f[a[1]^4*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   1162261467 - (52272415174*f[a[1]^4]*f[a[1]^4*b[1]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/31381059609 + 
  (128529239650*f[a[1]^6]*f[a[1]^4*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   31381059609 + (6149533060*f[a[2]^2]*f[a[1]^4*b[1]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/31381059609 - 
  (71678317556*f[a[1]^2*a[2]^2]*f[a[1]^4*b[1]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/94143178827 - 
  (455236160*f[a[1]*a[3]]*f[a[1]^4*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   10460353203 + (84942145984*f[a[1]^3*a[3]]*f[a[1]^4*b[1]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/282429536481 + 
  (2897901130*f[a[3]^2]*f[a[1]^4*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   282429536481 - (71656632320*f[a[2]*a[4]]*f[a[1]^4*b[1]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/847288609443 + 
  (29590350400*f[a[1]*a[5]]*f[a[1]^4*b[1]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/847288609443 - 
  (328550*f[b[1]*c[1]]*f[a[1]^4*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   14348907 + (68929790*f[a[1]^2*b[1]*c[1]]*f[a[1]^4*b[1]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/387420489 - 
  (4466722673*f[a[1]^4*b[1]*c[1]]^2*f[b[1]*b[2]*c[1]*c[2]])/10460353203 + 
  (19685888*f[a[2]]*f[a[2]*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   43046721 - (98429440*f[a[1]^2*a[2]]*f[a[2]*b[1]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/1162261467 + 
  (492147200*f[a[1]^4*a[2]]*f[a[2]*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   10460353203 + (511833088*f[a[2]^3]*f[a[2]*b[1]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/3486784401 + 
  (629948416*f[a[1]*a[2]*a[3]]*f[a[2]*b[1]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/10460353203 - 
  (78743552*f[a[4]]*f[a[2]*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   3486784401 + (393717760*f[a[1]^2*a[4]]*f[a[2]*b[1]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/94143178827 + 
  (216544768*f[a[6]]*f[a[2]*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   10460353203 + (1682176*f[a[2]*b[1]*c[1]]^2*f[b[1]*b[2]*c[1]*c[2]])/
   14348907 + (1259896832*f[a[1]*a[2]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/3486784401 - 
  (6299484160*f[a[1]^3*a[2]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/31381059609 + 
  (1259896832*f[a[2]*a[3]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/10460353203 - 
  (5039587328*f[a[1]*a[4]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/94143178827 + 
  (107659264*f[a[1]*a[2]*b[1]*c[1]]^2*f[b[1]*b[2]*c[1]*c[2]])/
   1162261467 - (98429440*f[a[2]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/1162261467 + 
  (51872314880*f[a[1]^2*a[2]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/94143178827 - 
  (511340940800*f[a[1]^4*a[2]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/847288609443 + 
  (153589298176*f[a[2]^3]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/282429536481 + 
  (101421694976*f[a[1]*a[2]*a[3]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/847288609443 + 
  (393717760*f[a[4]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   94143178827 - (31576164352*f[a[1]^2*a[4]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/282429536481 - 
  (1082723840*f[a[6]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   282429536481 - (16821760*f[a[2]*b[1]*c[1]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/387420489 + 
  (4432533760*f[a[1]^2*a[2]*b[1]*c[1]]^2*f[b[1]*b[2]*c[1]*c[2]])/
   31381059609 - (1999348*f[1]*f[a[2]^2*b[1]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/43046721 - 
  (599958196*f[a[1]^2]*f[a[2]^2*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   3486784401 + (6149533060*f[a[1]^4]*f[a[2]^2*b[1]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/31381059609 - 
  (77493959500*f[a[1]^6]*f[a[2]^2*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   282429536481 - (3377052568*f[a[2]^2]*f[a[2]^2*b[1]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/3486784401 + 
  (135588706744*f[a[1]^2*a[2]^2]*f[a[2]^2*b[1]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/847288609443 - 
  (3213721216*f[a[1]*a[3]]*f[a[2]^2*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   10460353203 + (28047468928*f[a[1]^3*a[3]]*f[a[2]^2*b[1]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/282429536481 - 
  (139952975836*f[a[3]^2]*f[a[2]^2*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   282429536481 + (14803787776*f[a[2]*a[4]]*f[a[2]^2*b[1]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/282429536481 + 
  (108100132480*f[a[1]*a[5]]*f[a[2]^2*b[1]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/847288609443 - 
  (341692*f[b[1]*c[1]]*f[a[2]^2*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   14348907 - (102533884*f[a[1]^2*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/1162261467 + 
  (1050965740*f[a[1]^4*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/10460353203 - 
  (288572036*f[a[2]^2*b[1]*c[1]]^2*f[b[1]*b[2]*c[1]*c[2]])/1162261467 + 
  (1230368*f[a[1]]*f[a[3]*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/43046721 - 
  (6151840*f[a[1]^3]*f[a[3]*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   387420489 + (153796000*f[a[1]^5]*f[a[3]*b[1]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/10460353203 + 
  (31989568*f[a[1]*a[2]^2]*f[a[3]*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   10460353203 - (791126624*f[a[3]]*f[a[3]*b[1]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/1162261467 + 
  (4191863776*f[a[1]^2*a[3]]*f[a[3]*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   31381059609 + (289136480*f[a[5]]*f[a[3]*b[1]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/10460353203 + 
  (210272*f[a[1]*b[1]*c[1]]*f[a[3]*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   14348907 - (1051360*f[a[1]^3*b[1]*c[1]]*f[a[3]*b[1]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/129140163 - 
  (67602448*f[a[3]*b[1]*c[1]]^2*f[b[1]*b[2]*c[1]*c[2]])/387420489 - 
  (2460736*f[1]*f[a[1]*a[3]*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   43046721 + (17225152*f[a[1]^2]*f[a[1]*a[3]*b[1]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/387420489 - 
  (455236160*f[a[1]^4]*f[a[1]*a[3]*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   10460353203 + (16302376000*f[a[1]^6]*f[a[1]*a[3]*b[1]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/282429536481 - 
  (3213721216*f[a[2]^2]*f[a[1]*a[3]*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   10460353203 + (17092272256*f[a[1]^2*a[2]^2]*f[a[1]*a[3]*b[1]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/282429536481 - 
  (12953314304*f[a[1]*a[3]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/31381059609 + 
  (68546262016*f[a[1]^3*a[3]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/282429536481 + 
  (9171163072*f[a[3]^2]*f[a[1]*a[3]*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   94143178827 - (123469889536*f[a[2]*a[4]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/847288609443 + 
  (20276464640*f[a[1]*a[5]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/847288609443 - 
  (420544*f[b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   14348907 + (2943808*f[a[1]^2*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/129140163 - 
  (77800640*f[a[1]^4*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/3486784401 - 
  (549230464*f[a[2]^2*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/3486784401 - 
  (1106871808*f[a[1]*a[3]*b[1]*c[1]]^2*f[b[1]*b[2]*c[1]*c[2]])/
   10460353203 - (78743552*f[a[2]]*f[a[4]*b[1]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/3486784401 + 
  (393717760*f[a[1]^2*a[2]]*f[a[4]*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   94143178827 - (1968588800*f[a[1]^4*a[2]]*f[a[4]*b[1]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/847288609443 - 
  (2047332352*f[a[2]^3]*f[a[4]*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   282429536481 - (2519793664*f[a[1]*a[2]*a[3]]*f[a[4]*b[1]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/847288609443 + 
  (28032704512*f[a[4]]*f[a[4]*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   31381059609 - (140163522560*f[a[1]^2*a[4]]*f[a[4]*b[1]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/847288609443 - 
  (7008176128*f[a[6]]*f[a[4]*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   282429536481 - (13457408*f[a[2]*b[1]*c[1]]*f[a[4]*b[1]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/1162261467 + 
  (67287040*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[4]*b[1]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/31381059609 + 
  (2395418624*f[a[4]*b[1]*c[1]]^2*f[b[1]*b[2]*c[1]*c[2]])/10460353203 - 
  (6400*f[b[2]*c[1]]^2*f[b[1]*b[2]*c[1]*c[2]])/6561 - 
  (409600*f[a[2]]*f[a[1]*b[2]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/1594323 + 
  (2048000*f[a[1]^2*a[2]]*f[a[1]*b[2]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   43046721 - (10240000*f[a[1]^4*a[2]]*f[a[1]*b[2]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/387420489 - 
  (10649600*f[a[2]^3]*f[a[1]*b[2]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   129140163 - (13107200*f[a[1]*a[2]*a[3]]*f[a[1]*b[2]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/387420489 + 
  (1638400*f[a[4]]*f[a[1]*b[2]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/14348907 - 
  (8192000*f[a[1]^2*a[4]]*f[a[1]*b[2]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   387420489 - (10240000*f[a[6]]*f[a[1]*b[2]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/129140163 + 
  (22446080*f[a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/129140163 - 
  (112230400*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/3486784401 - 
  (89784320*f[a[4]*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/1162261467 - 
  (102400*f[a[1]*b[2]*c[1]]^2*f[b[1]*b[2]*c[1]*c[2]])/177147 - 
  (13107200*f[a[1]*a[2]]*f[a[1]^2*b[2]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   43046721 + (65536000*f[a[1]^3*a[2]]*f[a[1]^2*b[2]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/387420489 + 
  (13107200*f[a[2]*a[3]]*f[a[1]^2*b[2]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   387420489 + (52428800*f[a[1]*a[4]]*f[a[1]^2*b[2]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/387420489 + 
  (718274560*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/3486784401 + 
  (64000*f[b[2]*c[1]]*f[a[1]^2*b[2]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   177147 - (1145600*f[a[1]^2*b[2]*c[1]]^2*f[b[1]*b[2]*c[1]*c[2]])/
   1594323 + (2048000*f[a[2]]*f[a[1]^3*b[2]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/14348907 - 
  (73318400*f[a[1]^2*a[2]]*f[a[1]^3*b[2]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   129140163 + (2148352000*f[a[1]^4*a[2]]*f[a[1]^3*b[2]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/3486784401 - 
  (2876211200*f[a[2]^3]*f[a[1]^3*b[2]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   10460353203 + (91750400*f[a[1]*a[2]*a[3]]*f[a[1]^3*b[2]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/1162261467 - 
  (8192000*f[a[4]]*f[a[1]^3*b[2]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   129140163 + (293273600*f[a[1]^2*a[4]]*f[a[1]^3*b[2]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/1162261467 + 
  (51200000*f[a[6]]*f[a[1]^3*b[2]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   1162261467 - (112230400*f[a[2]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/1162261467 + 
  (4017848320*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/10460353203 + 
  (448921600*f[a[4]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/10460353203 + 
  (1024000*f[a[1]*b[2]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/1594323 - 
  (60108800*f[a[1]^3*b[2]*c[1]]^2*f[b[1]*b[2]*c[1]*c[2]])/43046721 + 
  (409600*f[a[1]]*f[a[2]*b[2]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/1594323 - 
  (2048000*f[a[1]^3]*f[a[2]*b[2]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   14348907 + (51200000*f[a[1]^5]*f[a[2]*b[2]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/387420489 + 
  (10649600*f[a[1]*a[2]^2]*f[a[2]*b[2]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   387420489 + (2048000*f[a[3]]*f[a[2]*b[2]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/4782969 - 
  (4505600*f[a[1]^2*a[3]]*f[a[2]*b[2]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   387420489 - (22528000*f[a[5]]*f[a[2]*b[2]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/129140163 - 
  (22446080*f[a[1]*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/129140163 + 
  (112230400*f[a[1]^3*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/1162261467 - 
  (112230400*f[a[3]*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/387420489 + 
  (1638400*f[a[2]*b[2]*c[1]]^2*f[b[1]*b[2]*c[1]*c[2]])/1594323 + 
  (13107200*f[a[1]^2]*f[a[1]*a[2]*b[2]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   43046721 - (131072000*f[a[1]^4]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/387420489 + 
  (1638400000*f[a[1]^6]*f[a[1]*a[2]*b[2]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   3486784401 + (209715200*f[a[2]^2]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/387420489 - 
  (26214400*f[a[1]^2*a[2]^2]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/387420489 + 
  (91750400*f[a[1]*a[3]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/387420489 - 
  (13107200*f[a[1]^3*a[3]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/1162261467 - 
  (65536000*f[a[3]^2]*f[a[1]*a[2]*b[2]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   1162261467 - (4194304000*f[a[2]*a[4]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/31381059609 - 
  (2818048000*f[a[1]*a[5]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/31381059609 - 
  (718274560*f[a[1]^2*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/3486784401 + 
  (7182745600*f[a[1]^4*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/31381059609 - 
  (11492392960*f[a[2]^2*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/31381059609 - 
  (5027921920*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/31381059609 + 
  (104857600*f[a[1]*a[2]*b[2]*c[1]]^2*f[b[1]*b[2]*c[1]*c[2]])/129140163 - 
  (2048000*f[a[2]]*f[a[3]*b[2]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/4782969 + 
  (10240000*f[a[1]^2*a[2]]*f[a[3]*b[2]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   129140163 - (51200000*f[a[1]^4*a[2]]*f[a[3]*b[2]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/1162261467 - 
  (53248000*f[a[2]^3]*f[a[3]*b[2]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   387420489 - (65536000*f[a[1]*a[2]*a[3]]*f[a[3]*b[2]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/1162261467 - 
  (80281600*f[a[4]]*f[a[3]*b[2]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   129140163 + (401408000*f[a[1]^2*a[4]]*f[a[3]*b[2]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/3486784401 + 
  (2602188800*f[a[6]]*f[a[3]*b[2]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   10460353203 + (112230400*f[a[2]*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/387420489 - 
  (561152000*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/10460353203 + 
  (4399431680*f[a[4]*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/10460353203 + 
  (204800*f[a[1]*b[2]*c[1]]*f[a[3]*b[2]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   1594323 - (1024000*f[a[1]^3*b[2]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/14348907 - 
  (65843200*f[a[3]*b[2]*c[1]]^2*f[b[1]*b[2]*c[1]*c[2]])/43046721 - 
  (221920*f[1]*f[b[3]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/531441 + 
  (1109600*f[a[1]^2]*f[b[3]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/14348907 - 
  (5548000*f[a[1]^4]*f[b[3]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/129140163 + 
  (138700000*f[a[1]^6]*f[b[3]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   3486784401 - (5769920*f[a[2]^2]*f[b[3]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/129140163 + 
  (28849600*f[a[1]^2*a[2]^2]*f[b[3]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   3486784401 - (7101440*f[a[1]*a[3]]*f[b[3]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/129140163 + 
  (35507200*f[a[1]^3*a[3]]*f[b[3]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   1162261467 + (198174560*f[a[3]^2]*f[b[3]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/3486784401 + 
  (454492160*f[a[2]*a[4]]*f[b[3]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   10460353203 + (461593600*f[a[1]*a[5]]*f[b[3]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/10460353203 + 
  (64480*f[b[1]*c[1]]*f[b[3]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/1594323 - 
  (322400*f[a[1]^2*b[1]*c[1]]*f[b[3]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   43046721 + (1612000*f[a[1]^4*b[1]*c[1]]*f[b[3]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/387420489 + 
  (1676480*f[a[2]^2*b[1]*c[1]]*f[b[3]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   387420489 + (2063360*f[a[1]*a[3]*b[1]*c[1]]*f[b[3]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/387420489 + 
  (881600*f[b[3]*c[1]]^2*f[b[1]*b[2]*c[1]*c[2]])/4782969 - 
  (3550720*f[a[1]]*f[a[1]*b[3]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/14348907 + 
  (17753600*f[a[1]^3]*f[a[1]*b[3]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   129140163 - (443840000*f[a[1]^5]*f[a[1]*b[3]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/3486784401 - 
  (92318720*f[a[1]*a[2]^2]*f[a[1]*b[3]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   3486784401 + (3550720*f[a[3]]*f[a[1]*b[3]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/129140163 - 
  (81666560*f[a[1]^2*a[3]]*f[a[1]*b[3]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   1162261467 - (230796800*f[a[5]]*f[a[1]*b[3]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/10460353203 + 
  (1031680*f[a[1]*b[1]*c[1]]*f[a[1]*b[3]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   43046721 - (5158400*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[3]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/387420489 - 
  (1031680*f[a[3]*b[1]*c[1]]*f[a[1]*b[3]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   387420489 - (162611200*f[a[2]*b[2]*c[1]]*f[a[1]*b[3]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/387420489 + 
  (14105600*f[a[1]*b[3]*c[1]]^2*f[b[1]*b[2]*c[1]*c[2]])/129140163 + 
  (1109600*f[1]*f[a[1]^2*b[3]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/14348907 - 
  (39723680*f[a[1]^2]*f[a[1]^2*b[3]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   129140163 + (1163970400*f[a[1]^4]*f[a[1]^2*b[3]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/3486784401 - 
  (43302140000*f[a[1]^6]*f[a[1]^2*b[3]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   94143178827 - (1731419840*f[a[2]^2]*f[a[1]^2*b[3]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/10460353203 - 
  (205497920*f[a[1]^2*a[2]^2]*f[a[1]^2*b[3]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/282429536481 + 
  (49710080*f[a[1]*a[3]]*f[a[1]^2*b[3]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   1162261467 - (4381588480*f[a[1]^3*a[3]]*f[a[1]^2*b[3]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/31381059609 - 
  (1331741920*f[a[3]^2]*f[a[1]^2*b[3]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   94143178827 + (19543162880*f[a[2]*a[4]]*f[a[1]^2*b[3]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/282429536481 - 
  (3231155200*f[a[1]*a[5]]*f[a[1]^2*b[3]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   94143178827 - (322400*f[b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/43046721 + 
  (11541920*f[a[1]^2*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/387420489 - 
  (338197600*f[a[1]^4*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/10460353203 + 
  (503072960*f[a[2]^2*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/31381059609 - 
  (14443520*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/3486784401 - 
  (5203558400*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/10460353203 - 
  (8816000*f[b[3]*c[1]]*f[a[1]^2*b[3]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   129140163 + (157806400*f[a[1]^2*b[3]*c[1]]^2*f[b[1]*b[2]*c[1]*c[2]])/
   1162261467 + (56811520*f[a[2]]*f[a[2]*b[3]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/129140163 - 
  (284057600*f[a[1]^2*a[2]]*f[a[2]*b[3]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   3486784401 + (1420288000*f[a[1]^4*a[2]]*f[a[2]*b[3]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/31381059609 + 
  (1477099520*f[a[2]^3]*f[a[2]*b[3]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   10460353203 + (1817968640*f[a[1]*a[2]*a[3]]*f[a[2]*b[3]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/31381059609 - 
  (227246080*f[a[4]]*f[a[2]*b[3]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   10460353203 + (1136230400*f[a[1]^2*a[4]]*f[a[2]*b[3]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/282429536481 + 
  (624926720*f[a[6]]*f[a[2]*b[3]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   31381059609 - (16506880*f[a[2]*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/387420489 + 
  (82534400*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/10460353203 + 
  (66027520*f[a[4]*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/31381059609 + 
  (162611200*f[a[1]*b[2]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/387420489 - 
  (813056000*f[a[1]^3*b[2]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/3486784401 + 
  (813056000*f[a[3]*b[2]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/1162261467 - 
  (225689600*f[a[2]*b[3]*c[1]]^2*f[b[1]*b[2]*c[1]*c[2]])/1162261467 + 
  (68234240*f[b[2]*c[1]]*f[b[4]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   129140163 - (341171200*f[a[1]^2*b[2]*c[1]]*f[b[4]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/3486784401 + 
  (23655424*f[b[4]*c[1]]^2*f[b[1]*b[2]*c[1]*c[2]])/1162261467 - 
  (162955264*f[a[2]]*f[a[1]*b[4]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   3486784401 + (814776320*f[a[1]^2*a[2]]*f[a[1]*b[4]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/94143178827 - 
  (4073881600*f[a[1]^4*a[2]]*f[a[1]*b[4]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   847288609443 - (4236836864*f[a[2]^3]*f[a[1]*b[4]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/282429536481 - 
  (5214568448*f[a[1]*a[2]*a[3]]*f[a[1]*b[4]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/847288609443 + 
  (651821056*f[a[4]]*f[a[1]*b[4]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   31381059609 - (3259105280*f[a[1]^2*a[4]]*f[a[1]*b[4]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/847288609443 - 
  (4073881600*f[a[6]]*f[a[1]*b[4]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   282429536481 - (178585600*f[a[2]*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/1162261467 + 
  (892928000*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/31381059609 + 
  (714342400*f[a[4]*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/10460353203 + 
  (1091747840*f[a[1]*b[2]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/3486784401 - 
  (5458739200*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/31381059609 - 
  (1091747840*f[a[3]*b[2]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/31381059609 - 
  (5135564800*f[a[2]*b[3]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/31381059609 + 
  (378486784*f[a[1]*b[4]*c[1]]^2*f[b[1]*b[2]*c[1]*c[2]])/31381059609 + 
  (1948000*f[1]*f[b[5]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/14348907 - 
  (9740000*f[a[1]^2]*f[b[5]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/387420489 + 
  (48700000*f[a[1]^4]*f[b[5]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/3486784401 - 
  (1217500000*f[a[1]^6]*f[b[5]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   94143178827 + (50648000*f[a[2]^2]*f[b[5]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/3486784401 - 
  (253240000*f[a[1]^2*a[2]^2]*f[b[5]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   94143178827 + (62336000*f[a[1]*a[3]]*f[b[5]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/3486784401 - 
  (311680000*f[a[1]^3*a[3]]*f[b[5]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   31381059609 - (1739564000*f[a[3]^2]*f[b[5]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/94143178827 - 
  (3989504000*f[a[2]*a[4]]*f[b[5]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   282429536481 - (4051840000*f[a[1]*a[5]]*f[b[5]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/282429536481 - 
  (12688160*f[b[1]*c[1]]*f[b[5]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   129140163 + (63440800*f[a[1]^2*b[1]*c[1]]*f[b[5]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/3486784401 - 
  (317204000*f[a[1]^4*b[1]*c[1]]*f[b[5]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   31381059609 - (329892160*f[a[2]^2*b[1]*c[1]]*f[b[5]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/31381059609 - 
  (406021120*f[a[1]*a[3]*b[1]*c[1]]*f[b[5]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/31381059609 - 
  (89142400*f[b[3]*c[1]]*f[b[5]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
   387420489 + (445712000*f[a[1]^2*b[3]*c[1]]*f[b[5]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]])/10460353203 + 
  (628321600*f[b[5]*c[1]]^2*f[b[1]*b[2]*c[1]*c[2]])/10460353203 + 
  (23813888*f[b[2]*c[1]]*f[b[1]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/
   129140163 - (119069440*f[a[1]^2*b[2]*c[1]]*f[b[1]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/3486784401 - 
  (189468160*f[b[4]*c[1]]*f[b[1]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/
   1162261467 - (1600*f[b[1]*c[2]]^2*f[b[1]*b[2]*c[1]*c[2]])/6561 + 
  (204800*f[a[2]]*f[a[1]*b[1]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/1594323 - 
  (1024000*f[a[1]^2*a[2]]*f[a[1]*b[1]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/
   43046721 + (5120000*f[a[1]^4*a[2]]*f[a[1]*b[1]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/387420489 + 
  (5324800*f[a[2]^3]*f[a[1]*b[1]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/
   129140163 + (6553600*f[a[1]*a[2]*a[3]]*f[a[1]*b[1]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/387420489 - 
  (819200*f[a[4]]*f[a[1]*b[1]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/14348907 + 
  (4096000*f[a[1]^2*a[4]]*f[a[1]*b[1]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/
   387420489 + (5120000*f[a[6]]*f[a[1]*b[1]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/129140163 - 
  (11223040*f[a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/129140163 + 
  (56115200*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/3486784401 + 
  (44892160*f[a[4]*b[1]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/1162261467 + 
  (381022208*f[a[1]*b[2]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/3486784401 - 
  (1905111040*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/31381059609 - 
  (381022208*f[a[3]*b[2]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/31381059609 - 
  (5437825024*f[a[2]*b[3]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/31381059609 - 
  (3031490560*f[a[1]*b[4]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/31381059609 - 
  (25600*f[a[1]*b[1]*c[2]]^2*f[b[1]*b[2]*c[1]*c[2]])/177147 + 
  (6553600*f[a[1]*a[2]]*f[a[1]^2*b[1]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/
   43046721 - (32768000*f[a[1]^3*a[2]]*f[a[1]^2*b[1]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/387420489 - 
  (6553600*f[a[2]*a[3]]*f[a[1]^2*b[1]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/
   387420489 - (26214400*f[a[1]*a[4]]*f[a[1]^2*b[1]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/387420489 - 
  (359137280*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/3486784401 - 
  (119069440*f[b[2]*c[1]]*f[a[1]^2*b[1]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/
   3486784401 + (4262685952*f[a[1]^2*b[2]*c[1]]*f[a[1]^2*b[1]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/31381059609 + 
  (947340800*f[b[4]*c[1]]*f[a[1]^2*b[1]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/
   31381059609 + (16000*f[b[1]*c[2]]*f[a[1]^2*b[1]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/177147 - 
  (286400*f[a[1]^2*b[1]*c[2]]^2*f[b[1]*b[2]*c[1]*c[2]])/1594323 - 
  (1024000*f[a[2]]*f[a[1]^3*b[1]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/
   14348907 + (36659200*f[a[1]^2*a[2]]*f[a[1]^3*b[1]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/129140163 - 
  (1074176000*f[a[1]^4*a[2]]*f[a[1]^3*b[1]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/3486784401 + 
  (1438105600*f[a[2]^3]*f[a[1]^3*b[1]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/
   10460353203 - (45875200*f[a[1]*a[2]*a[3]]*f[a[1]^3*b[1]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/1162261467 + 
  (4096000*f[a[4]]*f[a[1]^3*b[1]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/
   129140163 - (146636800*f[a[1]^2*a[4]]*f[a[1]^3*b[1]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/1162261467 - 
  (25600000*f[a[6]]*f[a[1]^3*b[1]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/
   1162261467 + (56115200*f[a[2]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/1162261467 - 
  (2008924160*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/10460353203 - 
  (224460800*f[a[4]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/10460353203 - 
  (1905111040*f[a[1]*b[2]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/31381059609 + 
  (223660036096*f[a[1]^3*b[2]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/847288609443 + 
  (1905111040*f[a[3]*b[2]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/282429536481 + 
  (27189125120*f[a[2]*b[3]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/282429536481 + 
  (15157452800*f[a[1]*b[4]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/282429536481 + 
  (256000*f[a[1]*b[1]*c[2]]*f[a[1]^3*b[1]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/1594323 - 
  (15027200*f[a[1]^3*b[1]*c[2]]^2*f[b[1]*b[2]*c[1]*c[2]])/43046721 - 
  (204800*f[a[1]]*f[a[2]*b[1]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/1594323 + 
  (1024000*f[a[1]^3]*f[a[2]*b[1]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/
   14348907 - (25600000*f[a[1]^5]*f[a[2]*b[1]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/387420489 - 
  (5324800*f[a[1]*a[2]^2]*f[a[2]*b[1]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/
   387420489 - (1024000*f[a[3]]*f[a[2]*b[1]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/4782969 + 
  (2252800*f[a[1]^2*a[3]]*f[a[2]*b[1]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/
   387420489 + (11264000*f[a[5]]*f[a[2]*b[1]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/129140163 + 
  (11223040*f[a[1]*b[1]*c[1]]*f[a[2]*b[1]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/129140163 - 
  (56115200*f[a[1]^3*b[1]*c[1]]*f[a[2]*b[1]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/1162261467 + 
  (56115200*f[a[3]*b[1]*c[1]]*f[a[2]*b[1]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/387420489 - 
  (6096355328*f[a[2]*b[2]*c[1]]*f[a[2]*b[1]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/31381059609 + 
  (5437825024*f[a[1]*b[3]*c[1]]*f[a[2]*b[1]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/31381059609 + 
  (409600*f[a[2]*b[1]*c[2]]^2*f[b[1]*b[2]*c[1]*c[2]])/1594323 - 
  (6553600*f[a[1]^2]*f[a[1]*a[2]*b[1]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/
   43046721 + (65536000*f[a[1]^4]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/387420489 - 
  (819200000*f[a[1]^6]*f[a[1]*a[2]*b[1]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/
   3486784401 - (104857600*f[a[2]^2]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/387420489 + 
  (13107200*f[a[1]^2*a[2]^2]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/387420489 - 
  (45875200*f[a[1]*a[3]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/387420489 + 
  (6553600*f[a[1]^3*a[3]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/1162261467 + 
  (32768000*f[a[3]^2]*f[a[1]*a[2]*b[1]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/
   1162261467 + (2097152000*f[a[2]*a[4]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/31381059609 + 
  (1409024000*f[a[1]*a[5]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/31381059609 + 
  (359137280*f[a[1]^2*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/3486784401 - 
  (3591372800*f[a[1]^4*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/31381059609 + 
  (5746196480*f[a[2]^2*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/31381059609 + 
  (2513960960*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/31381059609 - 
  (390166740992*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/2541865828329 + 
  (174010400768*f[a[1]^2*b[3]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/847288609443 + 
  (26214400*f[a[1]*a[2]*b[1]*c[2]]^2*f[b[1]*b[2]*c[1]*c[2]])/129140163 + 
  (1024000*f[a[2]]*f[a[3]*b[1]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/4782969 - 
  (5120000*f[a[1]^2*a[2]]*f[a[3]*b[1]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/
   129140163 + (25600000*f[a[1]^4*a[2]]*f[a[3]*b[1]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/1162261467 + 
  (26624000*f[a[2]^3]*f[a[3]*b[1]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/
   387420489 + (32768000*f[a[1]*a[2]*a[3]]*f[a[3]*b[1]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/1162261467 + 
  (40140800*f[a[4]]*f[a[3]*b[1]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/
   129140163 - (200704000*f[a[1]^2*a[4]]*f[a[3]*b[1]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/3486784401 - 
  (1301094400*f[a[6]]*f[a[3]*b[1]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/
   10460353203 - (56115200*f[a[2]*b[1]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/387420489 + 
  (280576000*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/10460353203 - 
  (2199715840*f[a[4]*b[1]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/10460353203 - 
  (381022208*f[a[1]*b[2]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/31381059609 + 
  (1905111040*f[a[1]^3*b[2]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/282429536481 + 
  (244997279744*f[a[3]*b[2]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/847288609443 - 
  (27189125120*f[a[2]*b[3]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/94143178827 + 
  (3031490560*f[a[1]*b[4]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/282429536481 + 
  (51200*f[a[1]*b[1]*c[2]]*f[a[3]*b[1]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/
   1594323 - (256000*f[a[1]^3*b[1]*c[2]]*f[a[3]*b[1]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/14348907 - 
  (16460800*f[a[3]*b[1]*c[2]]^2*f[b[1]*b[2]*c[1]*c[2]])/43046721 - 
  (682478*f[1]*f[b[2]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/1594323 + 
  (3412390*f[a[1]^2]*f[b[2]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/43046721 - 
  (17061950*f[a[1]^4]*f[b[2]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/387420489 + 
  (426548750*f[a[1]^6]*f[b[2]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/
   10460353203 - (17744428*f[a[2]^2]*f[b[2]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/387420489 + 
  (88722140*f[a[1]^2*a[2]^2]*f[b[2]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/
   10460353203 - (21839296*f[a[1]*a[3]]*f[b[2]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/387420489 + 
  (109196480*f[a[1]^3*a[3]]*f[b[2]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/
   3486784401 + (609452854*f[a[3]^2]*f[b[2]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/10460353203 + 
  (1397714944*f[a[2]*a[4]]*f[b[2]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/
   31381059609 + (1419554240*f[a[1]*a[5]]*f[b[2]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/31381059609 + 
  (107570642*f[b[1]*c[1]]*f[b[2]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/
   129140163 - (537853210*f[a[1]^2*b[1]*c[1]]*f[b[2]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/3486784401 + 
  (2689266050*f[a[1]^4*b[1]*c[1]]*f[b[2]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/
   31381059609 + (2796836692*f[a[2]^2*b[1]*c[1]]*f[b[2]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/31381059609 + 
  (3442260544*f[a[1]*a[3]*b[1]*c[1]]*f[b[2]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/31381059609 + 
  (476082400*f[b[3]*c[1]]*f[b[2]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/
   387420489 - (2380412000*f[a[1]^2*b[3]*c[1]]*f[b[2]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/10460353203 - 
  (6764687200*f[b[5]*c[1]]*f[b[2]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/
   10460353203 + (103261*f[b[2]*c[2]]^2*f[b[1]*b[2]*c[1]*c[2]])/531441 - 
  (10919648*f[a[1]]*f[a[1]*b[2]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/
   43046721 + (54598240*f[a[1]^3]*f[a[1]*b[2]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/387420489 - 
  (1364956000*f[a[1]^5]*f[a[1]*b[2]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/
   10460353203 - (283910848*f[a[1]*a[2]^2]*f[a[1]*b[2]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/10460353203 + 
  (10919648*f[a[3]]*f[a[1]*b[2]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/
   387420489 - (251151904*f[a[1]^2*a[3]]*f[a[1]*b[2]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/3486784401 - 
  (709777120*f[a[5]]*f[a[1]*b[2]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/
   31381059609 + (1721130272*f[a[1]*b[1]*c[1]]*f[a[1]*b[2]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/3486784401 - 
  (8605651360*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[2]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/31381059609 - 
  (1721130272*f[a[3]*b[1]*c[1]]*f[a[1]*b[2]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/31381059609 - 
  (55623680*f[a[2]*b[2]*c[1]]*f[a[1]*b[2]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/129140163 + 
  (7617318400*f[a[1]*b[3]*c[1]]*f[a[1]*b[2]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/10460353203 + 
  (27811840*f[a[2]*b[1]*c[2]]*f[a[1]*b[2]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/129140163 + 
  (1652176*f[a[1]*b[2]*c[2]]^2*f[b[1]*b[2]*c[1]*c[2]])/14348907 + 
  (3412390*f[1]*f[a[1]^2*b[2]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/43046721 - 
  (122163562*f[a[1]^2]*f[a[1]^2*b[2]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/
   387420489 + (3579597110*f[a[1]^4]*f[a[1]^2*b[2]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/10460353203 - 
  (133168519750*f[a[1]^6]*f[a[1]^2*b[2]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/
   282429536481 - (5324693356*f[a[2]^2]*f[a[1]^2*b[2]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/31381059609 - 
  (631974628*f[a[1]^2*a[2]^2]*f[a[1]^2*b[2]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/847288609443 + 
  (152875072*f[a[1]*a[3]]*f[a[1]^2*b[2]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/
   3486784401 - (13474845632*f[a[1]^3*a[3]]*f[a[1]^2*b[2]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/94143178827 - 
  (4095550478*f[a[3]^2]*f[a[1]^2*b[2]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/
   282429536481 + (60101742592*f[a[2]*a[4]]*f[a[1]^2*b[2]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/847288609443 - 
  (9936879680*f[a[1]*a[5]]*f[a[1]^2*b[2]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/
   282429536481 - (537853210*f[b[1]*c[1]]*f[a[1]^2*b[2]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/3486784401 + 
  (19255144918*f[a[1]^2*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/31381059609 - 
  (564208017290*f[a[1]^4*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/847288609443 + 
  (839266148884*f[a[2]^2*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/2541865828329 - 
  (24095823808*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/282429536481 - 
  (1779957760*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]^2*b[2]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/3486784401 - 
  (2380412000*f[b[3]*c[1]]*f[a[1]^2*b[2]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/
   10460353203 + (85218749600*f[a[1]^2*b[3]*c[1]]*f[a[1]^2*b[2]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/94143178827 + 
  (33823436000*f[b[5]*c[1]]*f[a[1]^2*b[2]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/282429536481 + 
  (889978880*f[a[1]*a[2]*b[1]*c[2]]*f[a[1]^2*b[2]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/3486784401 - 
  (1032610*f[b[2]*c[2]]*f[a[1]^2*b[2]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/
   14348907 + (18483719*f[a[1]^2*b[2]*c[2]]^2*f[b[1]*b[2]*c[1]*c[2]])/
   129140163 + (174714368*f[a[2]]*f[a[2]*b[2]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/387420489 - 
  (873571840*f[a[1]^2*a[2]]*f[a[2]*b[2]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/
   10460353203 + (4367859200*f[a[1]^4*a[2]]*f[a[2]*b[2]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/94143178827 + 
  (4542573568*f[a[2]^3]*f[a[2]*b[2]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/
   31381059609 + (5590859776*f[a[1]*a[2]*a[3]]*f[a[2]*b[2]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/94143178827 - 
  (698857472*f[a[4]]*f[a[2]*b[2]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/
   31381059609 + (3494287360*f[a[1]^2*a[4]]*f[a[2]*b[2]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/847288609443 + 
  (1921858048*f[a[6]]*f[a[2]*b[2]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/
   94143178827 - (27538084352*f[a[2]*b[1]*c[1]]*f[a[2]*b[2]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/31381059609 + 
  (137690421760*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[2]*b[2]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/847288609443 + 
  (110152337408*f[a[4]*b[1]*c[1]]*f[a[2]*b[2]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/2541865828329 + 
  (55623680*f[a[1]*b[2]*c[1]]*f[a[2]*b[2]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/129140163 - 
  (278118400*f[a[1]^3*b[2]*c[1]]*f[a[2]*b[2]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/1162261467 + 
  (278118400*f[a[3]*b[2]*c[1]]*f[a[2]*b[2]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/387420489 - 
  (121877094400*f[a[2]*b[3]*c[1]]*f[a[2]*b[2]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/94143178827 - 
  (296518713344*f[a[1]*b[4]*c[1]]*f[a[2]*b[2]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/2541865828329 - 
  (27811840*f[a[1]*b[1]*c[2]]*f[a[2]*b[2]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/129140163 + 
  (139059200*f[a[1]^3*b[1]*c[2]]*f[a[2]*b[2]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/1162261467 - 
  (139059200*f[a[3]*b[1]*c[2]]*f[a[2]*b[2]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/387420489 - 
  (26434816*f[a[2]*b[2]*c[2]]^2*f[b[1]*b[2]*c[1]*c[2]])/129140163 - 
  (69617920*f[b[2]*c[1]]*f[b[3]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/
   387420489 + (348089600*f[a[1]^2*b[2]*c[1]]*f[b[3]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/10460353203 + 
  (6964761088*f[b[4]*c[1]]*f[b[3]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/
   31381059609 + (821120*f[b[1]*c[2]]*f[b[3]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/1594323 - 
  (4105600*f[a[1]^2*b[1]*c[2]]*f[b[3]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/
   43046721 - (1248832*f[b[3]*c[2]]^2*f[b[1]*b[2]*c[1]*c[2]])/4782969 - 
  (68018176*f[a[2]]*f[a[1]*b[3]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/
   387420489 + (340090880*f[a[1]^2*a[2]]*f[a[1]*b[3]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/10460353203 - 
  (1700454400*f[a[1]^4*a[2]]*f[a[1]*b[3]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/
   94143178827 - (1768472576*f[a[2]^3]*f[a[1]*b[3]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/31381059609 - 
  (2176581632*f[a[1]*a[2]*a[3]]*f[a[1]*b[3]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/94143178827 + 
  (272072704*f[a[4]]*f[a[1]*b[3]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/
   3486784401 - (1360363520*f[a[1]^2*a[4]]*f[a[1]*b[3]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/94143178827 - 
  (1700454400*f[a[6]]*f[a[1]*b[3]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/
   31381059609 + (2879832064*f[a[2]*b[1]*c[1]]*f[a[1]*b[3]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/31381059609 - 
  (14399160320*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[3]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/847288609443 - 
  (11519328256*f[a[4]*b[1]*c[1]]*f[a[1]*b[3]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/282429536481 - 
  (1113886720*f[a[1]*b[2]*c[1]]*f[a[1]*b[3]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/10460353203 + 
  (5569433600*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[3]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/94143178827 + 
  (1113886720*f[a[3]*b[2]*c[1]]*f[a[1]*b[3]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/94143178827 + 
  (19248209920*f[a[2]*b[3]*c[1]]*f[a[1]*b[3]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/94143178827 + 
  (111436177408*f[a[1]*b[4]*c[1]]*f[a[1]*b[3]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/847288609443 + 
  (13137920*f[a[1]*b[1]*c[2]]*f[a[1]*b[3]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/43046721 - 
  (65689600*f[a[1]^3*b[1]*c[2]]*f[a[1]*b[3]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/387420489 - 
  (13137920*f[a[3]*b[1]*c[2]]*f[a[1]*b[3]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/387420489 + 
  (81305600*f[a[2]*b[2]*c[2]]*f[a[1]*b[3]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/387420489 - 
  (19981312*f[a[1]*b[3]*c[2]]^2*f[b[1]*b[2]*c[1]*c[2]])/129140163 - 
  (1512320*f[1]*f[b[4]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/14348907 + 
  (7561600*f[a[1]^2]*f[b[4]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/387420489 - 
  (37808000*f[a[1]^4]*f[b[4]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/3486784401 + 
  (945200000*f[a[1]^6]*f[b[4]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/
   94143178827 - (39320320*f[a[2]^2]*f[b[4]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/3486784401 + 
  (196601600*f[a[1]^2*a[2]^2]*f[b[4]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/
   94143178827 - (48394240*f[a[1]*a[3]]*f[b[4]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/3486784401 + 
  (241971200*f[a[1]^3*a[3]]*f[b[4]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/
   31381059609 + (1350501760*f[a[3]^2]*f[b[4]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/94143178827 + 
  (3097231360*f[a[2]*a[4]]*f[b[4]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/
   282429536481 + (3145625600*f[a[1]*a[5]]*f[b[4]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/282429536481 - 
  (409840000*f[b[1]*c[1]]*f[b[4]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/
   1162261467 + (2049200000*f[a[1]^2*b[1]*c[1]]*f[b[4]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/31381059609 - 
  (10246000000*f[a[1]^4*b[1]*c[1]]*f[b[4]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/282429536481 - 
  (10655840000*f[a[2]^2*b[1]*c[1]]*f[b[4]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/282429536481 - 
  (13114880000*f[a[1]*a[3]*b[1]*c[1]]*f[b[4]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/282429536481 - 
  (11486536192*f[b[3]*c[1]]*f[b[4]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/
   31381059609 + (57432680960*f[a[1]^2*b[3]*c[1]]*f[b[4]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/847288609443 + 
  (341901340160*f[b[5]*c[1]]*f[b[4]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/
   2541865828329 - (32556160*f[b[2]*c[2]]*f[b[4]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]])/129140163 + 
  (162780800*f[a[1]^2*b[2]*c[2]]*f[b[4]*c[2]]*f[b[1]*b[2]*c[1]*c[2]])/
   3486784401 - (33664000*f[b[4]*c[2]]^2*f[b[1]*b[2]*c[1]*c[2]])/
   1162261467 - (9200279*f[1]*f[b[1]*b[2]*c[1]*c[2]]^2)/129140163 + 
  (46001395*f[a[1]^2]*f[b[1]*b[2]*c[1]*c[2]]^2)/3486784401 - 
  (230006975*f[a[1]^4]*f[b[1]*b[2]*c[1]*c[2]]^2)/31381059609 + 
  (5750174375*f[a[1]^6]*f[b[1]*b[2]*c[1]*c[2]]^2)/847288609443 - 
  (239207254*f[a[2]^2]*f[b[1]*b[2]*c[1]*c[2]]^2)/31381059609 + 
  (1196036270*f[a[1]^2*a[2]^2]*f[b[1]*b[2]*c[1]*c[2]]^2)/847288609443 - 
  (294408928*f[a[1]*a[3]]*f[b[1]*b[2]*c[1]*c[2]]^2)/31381059609 + 
  (1472044640*f[a[1]^3*a[3]]*f[b[1]*b[2]*c[1]*c[2]]^2)/282429536481 + 
  (8215849147*f[a[3]^2]*f[b[1]*b[2]*c[1]*c[2]]^2)/847288609443 + 
  (18842171392*f[a[2]*a[4]]*f[b[1]*b[2]*c[1]*c[2]]^2)/2541865828329 + 
  (19136580320*f[a[1]*a[5]]*f[b[1]*b[2]*c[1]*c[2]]^2)/2541865828329 + 
  (12791059*f[b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]^2)/43046721 - 
  (63955295*f[a[1]^2*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]^2)/1162261467 + 
  (319776475*f[a[1]^4*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]^2)/10460353203 + 
  (332567534*f[a[2]^2*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]^2)/10460353203 + 
  (409313888*f[a[1]*a[3]*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]^2)/
   10460353203 + (139077040*f[b[3]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]^2)/
   387420489 - (695385200*f[a[1]^2*b[3]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]^2)/
   10460353203 - (1976155120*f[b[5]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]^2)/
   10460353203 + (6137021*f[b[2]*c[2]]*f[b[1]*b[2]*c[1]*c[2]]^2)/
   43046721 - (30685105*f[a[1]^2*b[2]*c[2]]*f[b[1]*b[2]*c[1]*c[2]]^2)/
   1162261467 - (73282880*f[b[4]*c[2]]*f[b[1]*b[2]*c[1]*c[2]]^2)/
   1162261467 - (8532241*f[b[1]*b[2]*c[1]*c[2]]^3)/43046721 + 
  (80*f[1]^2*f[b[1]*c[3]])/243 + (1280*f[a[1]]^2*f[b[1]*c[3]])/6561 - 
  (800*f[1]*f[a[1]^2]*f[b[1]*c[3]])/6561 + 
  (14320*f[a[1]^2]^2*f[b[1]*c[3]])/59049 - 
  (12800*f[a[1]]*f[a[1]^3]*f[b[1]*c[3]])/59049 + 
  (751360*f[a[1]^3]^2*f[b[1]*c[3]])/1594323 + 
  (4000*f[1]*f[a[1]^4]*f[b[1]*c[3]])/59049 - 
  (839200*f[a[1]^2]*f[a[1]^4]*f[b[1]*c[3]])/1594323 + 
  (54381040*f[a[1]^4]^2*f[b[1]*c[3]])/43046721 + 
  (320000*f[a[1]]*f[a[1]^5]*f[b[1]*c[3]])/1594323 - 
  (70336000*f[a[1]^3]*f[a[1]^5]*f[b[1]*c[3]])/43046721 + 
  (1684614400*f[a[1]^5]^2*f[b[1]*c[3]])/387420489 - 
  (100000*f[1]*f[a[1]^6]*f[b[1]*c[3]])/1594323 + 
  (31220000*f[a[1]^2]*f[a[1]^6]*f[b[1]*c[3]])/43046721 - 
  (267428000*f[a[1]^4]*f[a[1]^6]*f[b[1]*c[3]])/43046721 + 
  (63936210800*f[a[1]^6]^2*f[b[1]*c[3]])/3486784401 - 
  (20480*f[a[2]]^2*f[b[1]*c[3]])/59049 - 
  (1310720*f[a[1]*a[2]]^2*f[b[1]*c[3]])/4782969 + 
  (204800*f[a[2]]*f[a[1]^2*a[2]]*f[b[1]*c[3]])/1594323 - 
  (53964800*f[a[1]^2*a[2]]^2*f[b[1]*c[3]])/129140163 + 
  (13107200*f[a[1]*a[2]]*f[a[1]^3*a[2]]*f[b[1]*c[3]])/43046721 - 
  (368312320*f[a[1]^3*a[2]]^2*f[b[1]*c[3]])/387420489 - 
  (1024000*f[a[2]]*f[a[1]^4*a[2]]*f[b[1]*c[3]])/14348907 + 
  (1063936000*f[a[1]^2*a[2]]*f[a[1]^4*a[2]]*f[b[1]*c[3]])/1162261467 - 
  (91005767680*f[a[1]^4*a[2]]^2*f[b[1]*c[3]])/31381059609 + 
  (4160*f[1]*f[a[2]^2]*f[b[1]*c[3]])/59049 + 
  (1248320*f[a[1]^2]*f[a[2]^2]*f[b[1]*c[3]])/4782969 - 
  (12795200*f[a[1]^4]*f[a[2]^2]*f[b[1]*c[3]])/43046721 + 
  (161240000*f[a[1]^6]*f[a[2]^2]*f[b[1]*c[3]])/387420489 + 
  (3513280*f[a[2]^2]^2*f[b[1]*c[3]])/4782969 + 
  (66560*f[a[1]]*f[a[1]*a[2]^2]*f[b[1]*c[3]])/1594323 + 
  (19973120*f[a[1]^3]*f[a[1]*a[2]^2]*f[b[1]*c[3]])/43046721 - 
  (1023616000*f[a[1]^5]*f[a[1]*a[2]^2]*f[b[1]*c[3]])/1162261467 + 
  (841456640*f[a[1]*a[2]^2]^2*f[b[1]*c[3]])/1162261467 - 
  (20800*f[1]*f[a[1]^2*a[2]^2]*f[b[1]*c[3]])/1594323 + 
  (148160*f[a[1]^2]*f[a[1]^2*a[2]^2]*f[b[1]*c[3]])/129140163 + 
  (149139520*f[a[1]^4]*f[a[1]^2*a[2]^2]*f[b[1]*c[3]])/129140163 - 
  (11187304000*f[a[1]^6]*f[a[1]^2*a[2]^2]*f[b[1]*c[3]])/3486784401 - 
  (282116480*f[a[2]^2]*f[a[1]^2*a[2]^2]*f[b[1]*c[3]])/1162261467 + 
  (120221084480*f[a[1]^2*a[2]^2]^2*f[b[1]*c[3]])/94143178827 - 
  (1064960*f[a[2]]*f[a[2]^3]*f[b[1]*c[3]])/4782969 - 
  (319569920*f[a[1]^2*a[2]]*f[a[2]^3]*f[b[1]*c[3]])/387420489 + 
  (3275571200*f[a[1]^4*a[2]]*f[a[2]^3]*f[b[1]*c[3]])/3486784401 - 
  (2725888000*f[a[2]^3]^2*f[b[1]*c[3]])/1162261467 - 
  (2560*f[a[1]]*f[a[3]]*f[b[1]*c[3]])/59049 + 
  (12800*f[a[1]^3]*f[a[3]]*f[b[1]*c[3]])/531441 - 
  (320000*f[a[1]^5]*f[a[3]]*f[b[1]*c[3]])/14348907 - 
  (66560*f[a[1]*a[2]^2]*f[a[3]]*f[b[1]*c[3]])/14348907 + 
  (823040*f[a[3]]^2*f[b[1]*c[3]])/1594323 + 
  (5120*f[1]*f[a[1]*a[3]]*f[b[1]*c[3]])/59049 - 
  (35840*f[a[1]^2]*f[a[1]*a[3]]*f[b[1]*c[3]])/531441 + 
  (947200*f[a[1]^4]*f[a[1]*a[3]]*f[b[1]*c[3]])/14348907 - 
  (33920000*f[a[1]^6]*f[a[1]*a[3]]*f[b[1]*c[3]])/387420489 + 
  (6686720*f[a[2]^2]*f[a[1]*a[3]]*f[b[1]*c[3]])/14348907 - 
  (35563520*f[a[1]^2*a[2]^2]*f[a[1]*a[3]]*f[b[1]*c[3]])/387420489 + 
  (13475840*f[a[1]*a[3]]^2*f[b[1]*c[3]])/43046721 + 
  (58880*f[a[1]]*f[a[1]^2*a[3]]*f[b[1]*c[3]])/531441 - 
  (2193920*f[a[1]^3]*f[a[1]^2*a[3]]*f[b[1]*c[3]])/14348907 + 
  (87616000*f[a[1]^5]*f[a[1]^2*a[3]]*f[b[1]*c[3]])/387420489 + 
  (621952000*f[a[1]*a[2]^2]*f[a[1]^2*a[3]]*f[b[1]*c[3]])/1162261467 - 
  (8721920*f[a[3]]*f[a[1]^2*a[3]]*f[b[1]*c[3]])/43046721 + 
  (154696960*f[a[1]^2*a[3]]^2*f[b[1]*c[3]])/387420489 - 
  (25600*f[1]*f[a[1]^3*a[3]]*f[b[1]*c[3]])/531441 + 
  (3159040*f[a[1]^2]*f[a[1]^3*a[3]]*f[b[1]*c[3]])/14348907 - 
  (176737280*f[a[1]^4]*f[a[1]^3*a[3]]*f[b[1]*c[3]])/387420489 + 
  (361088000*f[a[1]^6]*f[a[1]^3*a[3]]*f[b[1]*c[3]])/387420489 - 
  (58357760*f[a[2]^2]*f[a[1]^3*a[3]]*f[b[1]*c[3]])/387420489 + 
  (3307816960*f[a[1]^2*a[2]^2]*f[a[1]^3*a[3]]*f[b[1]*c[3]])/
   3486784401 - (142622720*f[a[1]*a[3]]*f[a[1]^3*a[3]]*f[b[1]*c[3]])/
   387420489 + (8342855680*f[a[1]^3*a[3]]^2*f[b[1]*c[3]])/10460353203 - 
  (2621440*f[a[1]*a[2]]*f[a[2]*a[3]]*f[b[1]*c[3]])/14348907 + 
  (13107200*f[a[1]^3*a[2]]*f[a[2]*a[3]]*f[b[1]*c[3]])/129140163 - 
  (284426240*f[a[2]*a[3]]^2*f[b[1]*c[3]])/387420489 - 
  (1310720*f[a[2]]*f[a[1]*a[2]*a[3]]*f[b[1]*c[3]])/14348907 - 
  (211025920*f[a[1]^2*a[2]]*f[a[1]*a[2]*a[3]]*f[b[1]*c[3]])/
   1162261467 + (2208563200*f[a[1]^4*a[2]]*f[a[1]*a[2]*a[3]]*
     f[b[1]*c[3]])/10460353203 - 
  (1711800320*f[a[2]^3]*f[a[1]*a[2]*a[3]]*f[b[1]*c[3]])/1162261467 - 
  (16787701760*f[a[1]*a[2]*a[3]]^2*f[b[1]*c[3]])/31381059609 - 
  (142880*f[1]*f[a[3]^2]*f[b[1]*c[3]])/1594323 + 
  (960160*f[a[1]^2]*f[a[3]^2]*f[b[1]*c[3]])/43046721 - 
  (6029600*f[a[1]^4]*f[a[3]^2]*f[b[1]*c[3]])/387420489 + 
  (181460000*f[a[1]^6]*f[a[3]^2]*f[b[1]*c[3]])/10460353203 + 
  (291197120*f[a[2]^2]*f[a[3]^2]*f[b[1]*c[3]])/387420489 - 
  (1449595840*f[a[1]^2*a[2]^2]*f[a[3]^2]*f[b[1]*c[3]])/10460353203 - 
  (19082240*f[a[1]*a[3]]*f[a[3]^2]*f[b[1]*c[3]])/129140163 + 
  (98032640*f[a[1]^3*a[3]]*f[a[3]^2]*f[b[1]*c[3]])/1162261467 + 
  (5666222320*f[a[3]^2]^2*f[b[1]*c[3]])/3486784401 + 
  (163840*f[a[2]]*f[a[4]]*f[b[1]*c[3]])/4782969 - 
  (819200*f[a[1]^2*a[2]]*f[a[4]]*f[b[1]*c[3]])/129140163 + 
  (4096000*f[a[1]^4*a[2]]*f[a[4]]*f[b[1]*c[3]])/1162261467 + 
  (4259840*f[a[2]^3]*f[a[4]]*f[b[1]*c[3]])/387420489 + 
  (5242880*f[a[1]*a[2]*a[3]]*f[a[4]]*f[b[1]*c[3]])/1162261467 - 
  (29163520*f[a[4]]^2*f[b[1]*c[3]])/43046721 + 
  (10485760*f[a[1]*a[2]]*f[a[1]*a[4]]*f[b[1]*c[3]])/129140163 - 
  (52428800*f[a[1]^3*a[2]]*f[a[1]*a[4]]*f[b[1]*c[3]])/1162261467 - 
  (387973120*f[a[2]*a[3]]*f[a[1]*a[4]]*f[b[1]*c[3]])/1162261467 - 
  (482344960*f[a[1]*a[4]]^2*f[b[1]*c[3]])/1162261467 - 
  (819200*f[a[2]]*f[a[1]^2*a[4]]*f[b[1]*c[3]])/129140163 + 
  (65699840*f[a[1]^2*a[2]]*f[a[1]^2*a[4]]*f[b[1]*c[3]])/387420489 - 
  (5892505600*f[a[1]^4*a[2]]*f[a[1]^2*a[4]]*f[b[1]*c[3]])/31381059609 + 
  (1278279680*f[a[2]^3]*f[a[1]^2*a[4]]*f[b[1]*c[3]])/31381059609 - 
  (1410334720*f[a[1]*a[2]*a[3]]*f[a[1]^2*a[4]]*f[b[1]*c[3]])/
   3486784401 + (291635200*f[a[4]]*f[a[1]^2*a[4]]*f[b[1]*c[3]])/
   1162261467 - (5555814400*f[a[1]^2*a[4]]^2*f[b[1]*c[3]])/10460353203 - 
  (327680*f[1]*f[a[2]*a[4]]*f[b[1]*c[3]])/4782969 - 
  (14090240*f[a[1]^2]*f[a[2]*a[4]]*f[b[1]*c[3]])/129140163 + 
  (149094400*f[a[1]^4]*f[a[2]*a[4]]*f[b[1]*c[3]])/1162261467 - 
  (5693440000*f[a[1]^6]*f[a[2]*a[4]]*f[b[1]*c[3]])/31381059609 - 
  (30801920*f[a[2]^2]*f[a[2]*a[4]]*f[b[1]*c[3]])/387420489 + 
  (655360*f[a[1]^2*a[2]^2]*f[a[2]*a[4]]*f[b[1]*c[3]])/387420489 + 
  (256901120*f[a[1]*a[3]]*f[a[2]*a[4]]*f[b[1]*c[3]])/1162261467 - 
  (1787822080*f[a[1]^3*a[3]]*f[a[2]*a[4]]*f[b[1]*c[3]])/10460353203 + 
  (34974269440*f[a[3]^2]*f[a[2]*a[4]]*f[b[1]*c[3]])/31381059609 + 
  (67612180480*f[a[2]*a[4]]^2*f[b[1]*c[3]])/94143178827 + 
  (166400*f[a[1]]*f[a[5]]*f[b[1]*c[3]])/4782969 - 
  (832000*f[a[1]^3]*f[a[5]]*f[b[1]*c[3]])/43046721 + 
  (20800000*f[a[1]^5]*f[a[5]]*f[b[1]*c[3]])/1162261467 + 
  (4326400*f[a[1]*a[2]^2]*f[a[5]]*f[b[1]*c[3]])/1162261467 - 
  (601600*f[a[3]]*f[a[5]]*f[b[1]*c[3]])/14348907 + 
  (19673600*f[a[1]^2*a[3]]*f[a[5]]*f[b[1]*c[3]])/1162261467 + 
  (327097600*f[a[5]]^2*f[b[1]*c[3]])/387420489 - 
  (332800*f[1]*f[a[1]*a[5]]*f[b[1]*c[3]])/4782969 + 
  (2329600*f[a[1]^2]*f[a[1]*a[5]]*f[b[1]*c[3]])/43046721 - 
  (61568000*f[a[1]^4]*f[a[1]*a[5]]*f[b[1]*c[3]])/1162261467 + 
  (2204800000*f[a[1]^6]*f[a[1]*a[5]]*f[b[1]*c[3]])/31381059609 - 
  (224921600*f[a[2]^2]*f[a[1]*a[5]]*f[b[1]*c[3]])/1162261467 + 
  (140339200*f[a[1]^2*a[2]^2]*f[a[1]*a[5]]*f[b[1]*c[3]])/3486784401 - 
  (42188800*f[a[1]*a[3]]*f[a[1]*a[5]]*f[b[1]*c[3]])/1162261467 + 
  (381337600*f[a[1]^3*a[3]]*f[a[1]*a[5]]*f[b[1]*c[3]])/10460353203 + 
  (470451200*f[a[3]^2]*f[a[1]*a[5]]*f[b[1]*c[3]])/31381059609 + 
  (44538265600*f[a[2]*a[4]]*f[a[1]*a[5]]*f[b[1]*c[3]])/94143178827 + 
  (47534694400*f[a[1]*a[5]]^2*f[b[1]*c[3]])/94143178827 - 
  (450560*f[a[2]]*f[a[6]]*f[b[1]*c[3]])/14348907 + 
  (2252800*f[a[1]^2*a[2]]*f[a[6]]*f[b[1]*c[3]])/387420489 - 
  (11264000*f[a[1]^4*a[2]]*f[a[6]]*f[b[1]*c[3]])/3486784401 - 
  (11714560*f[a[2]^3]*f[a[6]]*f[b[1]*c[3]])/1162261467 - 
  (14417920*f[a[1]*a[2]*a[3]]*f[a[6]]*f[b[1]*c[3]])/3486784401 + 
  (14581760*f[a[4]]*f[a[6]]*f[b[1]*c[3]])/387420489 - 
  (72908800*f[a[1]^2*a[4]]*f[a[6]]*f[b[1]*c[3]])/10460353203 - 
  (10535137280*f[a[6]]^2*f[b[1]*c[3]])/10460353203 + 
  (800*f[1]*f[b[1]*c[1]]*f[b[1]*c[3]])/2187 - 
  (4000*f[a[1]^2]*f[b[1]*c[1]]*f[b[1]*c[3]])/59049 + 
  (20000*f[a[1]^4]*f[b[1]*c[1]]*f[b[1]*c[3]])/531441 - 
  (500000*f[a[1]^6]*f[b[1]*c[1]]*f[b[1]*c[3]])/14348907 + 
  (20800*f[a[2]^2]*f[b[1]*c[1]]*f[b[1]*c[3]])/531441 - 
  (104000*f[a[1]^2*a[2]^2]*f[b[1]*c[1]]*f[b[1]*c[3]])/14348907 + 
  (25600*f[a[1]*a[3]]*f[b[1]*c[1]]*f[b[1]*c[3]])/531441 - 
  (128000*f[a[1]^3*a[3]]*f[b[1]*c[1]]*f[b[1]*c[3]])/4782969 - 
  (714400*f[a[3]^2]*f[b[1]*c[1]]*f[b[1]*c[3]])/14348907 - 
  (1638400*f[a[2]*a[4]]*f[b[1]*c[1]]*f[b[1]*c[3]])/43046721 - 
  (1664000*f[a[1]*a[5]]*f[b[1]*c[1]]*f[b[1]*c[3]])/43046721 + 
  (80*f[b[1]*c[1]]^2*f[b[1]*c[3]])/2187 + 
  (12800*f[a[1]]*f[a[1]*b[1]*c[1]]*f[b[1]*c[3]])/59049 - 
  (64000*f[a[1]^3]*f[a[1]*b[1]*c[1]]*f[b[1]*c[3]])/531441 + 
  (1600000*f[a[1]^5]*f[a[1]*b[1]*c[1]]*f[b[1]*c[3]])/14348907 + 
  (332800*f[a[1]*a[2]^2]*f[a[1]*b[1]*c[1]]*f[b[1]*c[3]])/14348907 - 
  (12800*f[a[3]]*f[a[1]*b[1]*c[1]]*f[b[1]*c[3]])/531441 + 
  (294400*f[a[1]^2*a[3]]*f[a[1]*b[1]*c[1]]*f[b[1]*c[3]])/4782969 + 
  (832000*f[a[5]]*f[a[1]*b[1]*c[1]]*f[b[1]*c[3]])/43046721 + 
  (1280*f[a[1]*b[1]*c[1]]^2*f[b[1]*c[3]])/59049 - 
  (4000*f[1]*f[a[1]^2*b[1]*c[1]]*f[b[1]*c[3]])/59049 + 
  (143200*f[a[1]^2]*f[a[1]^2*b[1]*c[1]]*f[b[1]*c[3]])/531441 - 
  (4196000*f[a[1]^4]*f[a[1]^2*b[1]*c[1]]*f[b[1]*c[3]])/14348907 + 
  (156100000*f[a[1]^6]*f[a[1]^2*b[1]*c[1]]*f[b[1]*c[3]])/387420489 + 
  (6241600*f[a[2]^2]*f[a[1]^2*b[1]*c[1]]*f[b[1]*c[3]])/43046721 + 
  (740800*f[a[1]^2*a[2]^2]*f[a[1]^2*b[1]*c[1]]*f[b[1]*c[3]])/
   1162261467 - (179200*f[a[1]*a[3]]*f[a[1]^2*b[1]*c[1]]*f[b[1]*c[3]])/
   4782969 + (15795200*f[a[1]^3*a[3]]*f[a[1]^2*b[1]*c[1]]*
     f[b[1]*c[3]])/129140163 + 
  (4800800*f[a[3]^2]*f[a[1]^2*b[1]*c[1]]*f[b[1]*c[3]])/387420489 - 
  (70451200*f[a[2]*a[4]]*f[a[1]^2*b[1]*c[1]]*f[b[1]*c[3]])/1162261467 + 
  (11648000*f[a[1]*a[5]]*f[a[1]^2*b[1]*c[1]]*f[b[1]*c[3]])/387420489 - 
  (800*f[b[1]*c[1]]*f[a[1]^2*b[1]*c[1]]*f[b[1]*c[3]])/59049 + 
  (14320*f[a[1]^2*b[1]*c[1]]^2*f[b[1]*c[3]])/531441 - 
  (64000*f[a[1]]*f[a[1]^3*b[1]*c[1]]*f[b[1]*c[3]])/531441 + 
  (7513600*f[a[1]^3]*f[a[1]^3*b[1]*c[1]]*f[b[1]*c[3]])/14348907 - 
  (351680000*f[a[1]^5]*f[a[1]^3*b[1]*c[1]]*f[b[1]*c[3]])/387420489 + 
  (99865600*f[a[1]*a[2]^2]*f[a[1]^3*b[1]*c[1]]*f[b[1]*c[3]])/
   387420489 + (64000*f[a[3]]*f[a[1]^3*b[1]*c[1]]*f[b[1]*c[3]])/
   4782969 - (10969600*f[a[1]^2*a[3]]*f[a[1]^3*b[1]*c[1]]*
     f[b[1]*c[3]])/129140163 - 
  (4160000*f[a[5]]*f[a[1]^3*b[1]*c[1]]*f[b[1]*c[3]])/387420489 - 
  (12800*f[a[1]*b[1]*c[1]]*f[a[1]^3*b[1]*c[1]]*f[b[1]*c[3]])/531441 + 
  (751360*f[a[1]^3*b[1]*c[1]]^2*f[b[1]*c[3]])/14348907 + 
  (20000*f[1]*f[a[1]^4*b[1]*c[1]]*f[b[1]*c[3]])/531441 - 
  (4196000*f[a[1]^2]*f[a[1]^4*b[1]*c[1]]*f[b[1]*c[3]])/14348907 + 
  (543810400*f[a[1]^4]*f[a[1]^4*b[1]*c[1]]*f[b[1]*c[3]])/387420489 - 
  (1337140000*f[a[1]^6]*f[a[1]^4*b[1]*c[1]]*f[b[1]*c[3]])/387420489 - 
  (63976000*f[a[2]^2]*f[a[1]^4*b[1]*c[1]]*f[b[1]*c[3]])/387420489 + 
  (745697600*f[a[1]^2*a[2]^2]*f[a[1]^4*b[1]*c[1]]*f[b[1]*c[3]])/
   1162261467 + (4736000*f[a[1]*a[3]]*f[a[1]^4*b[1]*c[1]]*
     f[b[1]*c[3]])/129140163 - 
  (883686400*f[a[1]^3*a[3]]*f[a[1]^4*b[1]*c[1]]*f[b[1]*c[3]])/
   3486784401 - (30148000*f[a[3]^2]*f[a[1]^4*b[1]*c[1]]*f[b[1]*c[3]])/
   3486784401 + (745472000*f[a[2]*a[4]]*f[a[1]^4*b[1]*c[1]]*
     f[b[1]*c[3]])/10460353203 - 
  (307840000*f[a[1]*a[5]]*f[a[1]^4*b[1]*c[1]]*f[b[1]*c[3]])/
   10460353203 + (4000*f[b[1]*c[1]]*f[a[1]^4*b[1]*c[1]]*f[b[1]*c[3]])/
   531441 - (839200*f[a[1]^2*b[1]*c[1]]*f[a[1]^4*b[1]*c[1]]*
     f[b[1]*c[3]])/14348907 + 
  (54381040*f[a[1]^4*b[1]*c[1]]^2*f[b[1]*c[3]])/387420489 - 
  (204800*f[a[2]]*f[a[2]*b[1]*c[1]]*f[b[1]*c[3]])/531441 + 
  (1024000*f[a[1]^2*a[2]]*f[a[2]*b[1]*c[1]]*f[b[1]*c[3]])/14348907 - 
  (5120000*f[a[1]^4*a[2]]*f[a[2]*b[1]*c[1]]*f[b[1]*c[3]])/129140163 - 
  (5324800*f[a[2]^3]*f[a[2]*b[1]*c[1]]*f[b[1]*c[3]])/43046721 - 
  (6553600*f[a[1]*a[2]*a[3]]*f[a[2]*b[1]*c[1]]*f[b[1]*c[3]])/
   129140163 + (819200*f[a[4]]*f[a[2]*b[1]*c[1]]*f[b[1]*c[3]])/
   43046721 - (4096000*f[a[1]^2*a[4]]*f[a[2]*b[1]*c[1]]*f[b[1]*c[3]])/
   1162261467 - (2252800*f[a[6]]*f[a[2]*b[1]*c[1]]*f[b[1]*c[3]])/
   129140163 - (20480*f[a[2]*b[1]*c[1]]^2*f[b[1]*c[3]])/531441 - 
  (13107200*f[a[1]*a[2]]*f[a[1]*a[2]*b[1]*c[1]]*f[b[1]*c[3]])/
   43046721 + (65536000*f[a[1]^3*a[2]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[b[1]*c[3]])/387420489 - 
  (13107200*f[a[2]*a[3]]*f[a[1]*a[2]*b[1]*c[1]]*f[b[1]*c[3]])/
   129140163 + (52428800*f[a[1]*a[4]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[b[1]*c[3]])/1162261467 - 
  (1310720*f[a[1]*a[2]*b[1]*c[1]]^2*f[b[1]*c[3]])/43046721 + 
  (1024000*f[a[2]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[1]*c[3]])/14348907 - 
  (539648000*f[a[1]^2*a[2]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[1]*c[3]])/
   1162261467 + (5319680000*f[a[1]^4*a[2]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[b[1]*c[3]])/10460353203 - 
  (1597849600*f[a[2]^3]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[1]*c[3]])/
   3486784401 - (1055129600*f[a[1]*a[2]*a[3]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[b[1]*c[3]])/10460353203 - 
  (4096000*f[a[4]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[1]*c[3]])/1162261467 + 
  (328499200*f[a[1]^2*a[4]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[1]*c[3]])/
   3486784401 + (11264000*f[a[6]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[b[1]*c[3]])/3486784401 + 
  (204800*f[a[2]*b[1]*c[1]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[1]*c[3]])/
   14348907 - (53964800*f[a[1]^2*a[2]*b[1]*c[1]]^2*f[b[1]*c[3]])/
   1162261467 + (20800*f[1]*f[a[2]^2*b[1]*c[1]]*f[b[1]*c[3]])/531441 + 
  (6241600*f[a[1]^2]*f[a[2]^2*b[1]*c[1]]*f[b[1]*c[3]])/43046721 - 
  (63976000*f[a[1]^4]*f[a[2]^2*b[1]*c[1]]*f[b[1]*c[3]])/387420489 + 
  (806200000*f[a[1]^6]*f[a[2]^2*b[1]*c[1]]*f[b[1]*c[3]])/3486784401 + 
  (35132800*f[a[2]^2]*f[a[2]^2*b[1]*c[1]]*f[b[1]*c[3]])/43046721 - 
  (1410582400*f[a[1]^2*a[2]^2]*f[a[2]^2*b[1]*c[1]]*f[b[1]*c[3]])/
   10460353203 + (33433600*f[a[1]*a[3]]*f[a[2]^2*b[1]*c[1]]*
     f[b[1]*c[3]])/129140163 - 
  (291788800*f[a[1]^3*a[3]]*f[a[2]^2*b[1]*c[1]]*f[b[1]*c[3]])/
   3486784401 + (1455985600*f[a[3]^2]*f[a[2]^2*b[1]*c[1]]*
     f[b[1]*c[3]])/3486784401 - 
  (154009600*f[a[2]*a[4]]*f[a[2]^2*b[1]*c[1]]*f[b[1]*c[3]])/
   3486784401 - (1124608000*f[a[1]*a[5]]*f[a[2]^2*b[1]*c[1]]*
     f[b[1]*c[3]])/10460353203 + 
  (4160*f[b[1]*c[1]]*f[a[2]^2*b[1]*c[1]]*f[b[1]*c[3]])/531441 + 
  (1248320*f[a[1]^2*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]]*f[b[1]*c[3]])/
   43046721 - (12795200*f[a[1]^4*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]]*
     f[b[1]*c[3]])/387420489 + 
  (3513280*f[a[2]^2*b[1]*c[1]]^2*f[b[1]*c[3]])/43046721 - 
  (12800*f[a[1]]*f[a[3]*b[1]*c[1]]*f[b[1]*c[3]])/531441 + 
  (64000*f[a[1]^3]*f[a[3]*b[1]*c[1]]*f[b[1]*c[3]])/4782969 - 
  (1600000*f[a[1]^5]*f[a[3]*b[1]*c[1]]*f[b[1]*c[3]])/129140163 - 
  (332800*f[a[1]*a[2]^2]*f[a[3]*b[1]*c[1]]*f[b[1]*c[3]])/129140163 + 
  (8230400*f[a[3]]*f[a[3]*b[1]*c[1]]*f[b[1]*c[3]])/14348907 - 
  (43609600*f[a[1]^2*a[3]]*f[a[3]*b[1]*c[1]]*f[b[1]*c[3]])/387420489 - 
  (3008000*f[a[5]]*f[a[3]*b[1]*c[1]]*f[b[1]*c[3]])/129140163 - 
  (2560*f[a[1]*b[1]*c[1]]*f[a[3]*b[1]*c[1]]*f[b[1]*c[3]])/531441 + 
  (12800*f[a[1]^3*b[1]*c[1]]*f[a[3]*b[1]*c[1]]*f[b[1]*c[3]])/4782969 + 
  (823040*f[a[3]*b[1]*c[1]]^2*f[b[1]*c[3]])/14348907 + 
  (25600*f[1]*f[a[1]*a[3]*b[1]*c[1]]*f[b[1]*c[3]])/531441 - 
  (179200*f[a[1]^2]*f[a[1]*a[3]*b[1]*c[1]]*f[b[1]*c[3]])/4782969 + 
  (4736000*f[a[1]^4]*f[a[1]*a[3]*b[1]*c[1]]*f[b[1]*c[3]])/129140163 - 
  (169600000*f[a[1]^6]*f[a[1]*a[3]*b[1]*c[1]]*f[b[1]*c[3]])/
   3486784401 + (33433600*f[a[2]^2]*f[a[1]*a[3]*b[1]*c[1]]*
     f[b[1]*c[3]])/129140163 - 
  (177817600*f[a[1]^2*a[2]^2]*f[a[1]*a[3]*b[1]*c[1]]*f[b[1]*c[3]])/
   3486784401 + (134758400*f[a[1]*a[3]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[b[1]*c[3]])/387420489 - 
  (713113600*f[a[1]^3*a[3]]*f[a[1]*a[3]*b[1]*c[1]]*f[b[1]*c[3]])/
   3486784401 - (95411200*f[a[3]^2]*f[a[1]*a[3]*b[1]*c[1]]*
     f[b[1]*c[3]])/1162261467 + 
  (1284505600*f[a[2]*a[4]]*f[a[1]*a[3]*b[1]*c[1]]*f[b[1]*c[3]])/
   10460353203 - (210944000*f[a[1]*a[5]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[b[1]*c[3]])/10460353203 + 
  (5120*f[b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]]*f[b[1]*c[3]])/531441 - 
  (35840*f[a[1]^2*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]]*f[b[1]*c[3]])/
   4782969 + (947200*f[a[1]^4*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[b[1]*c[3]])/129140163 + 
  (6686720*f[a[2]^2*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]]*f[b[1]*c[3]])/
   129140163 + (13475840*f[a[1]*a[3]*b[1]*c[1]]^2*f[b[1]*c[3]])/
   387420489 + (819200*f[a[2]]*f[a[4]*b[1]*c[1]]*f[b[1]*c[3]])/
   43046721 - (4096000*f[a[1]^2*a[2]]*f[a[4]*b[1]*c[1]]*f[b[1]*c[3]])/
   1162261467 + (20480000*f[a[1]^4*a[2]]*f[a[4]*b[1]*c[1]]*
     f[b[1]*c[3]])/10460353203 + 
  (21299200*f[a[2]^3]*f[a[4]*b[1]*c[1]]*f[b[1]*c[3]])/3486784401 + 
  (26214400*f[a[1]*a[2]*a[3]]*f[a[4]*b[1]*c[1]]*f[b[1]*c[3]])/
   10460353203 - (291635200*f[a[4]]*f[a[4]*b[1]*c[1]]*f[b[1]*c[3]])/
   387420489 + (1458176000*f[a[1]^2*a[4]]*f[a[4]*b[1]*c[1]]*
     f[b[1]*c[3]])/10460353203 + 
  (72908800*f[a[6]]*f[a[4]*b[1]*c[1]]*f[b[1]*c[3]])/3486784401 + 
  (163840*f[a[2]*b[1]*c[1]]*f[a[4]*b[1]*c[1]]*f[b[1]*c[3]])/43046721 - 
  (819200*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[4]*b[1]*c[1]]*f[b[1]*c[3]])/
   1162261467 - (29163520*f[a[4]*b[1]*c[1]]^2*f[b[1]*c[3]])/387420489 - 
  (655360*f[b[2]*c[1]]^2*f[b[1]*c[3]])/4782969 + 
  (311296*f[a[2]]*f[a[1]*b[2]*c[1]]*f[b[1]*c[3]])/1594323 - 
  (1556480*f[a[1]^2*a[2]]*f[a[1]*b[2]*c[1]]*f[b[1]*c[3]])/43046721 + 
  (7782400*f[a[1]^4*a[2]]*f[a[1]*b[2]*c[1]]*f[b[1]*c[3]])/387420489 + 
  (8093696*f[a[2]^3]*f[a[1]*b[2]*c[1]]*f[b[1]*c[3]])/129140163 + 
  (9961472*f[a[1]*a[2]*a[3]]*f[a[1]*b[2]*c[1]]*f[b[1]*c[3]])/
   387420489 - (1245184*f[a[4]]*f[a[1]*b[2]*c[1]]*f[b[1]*c[3]])/
   14348907 + (6225920*f[a[1]^2*a[4]]*f[a[1]*b[2]*c[1]]*f[b[1]*c[3]])/
   387420489 + (7782400*f[a[6]]*f[a[1]*b[2]*c[1]]*f[b[1]*c[3]])/
   129140163 + (4210688*f[a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*
     f[b[1]*c[3]])/43046721 - 
  (21053440*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*f[b[1]*c[3]])/
   1162261467 - (16842752*f[a[4]*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*
     f[b[1]*c[3]])/387420489 - 
  (10485760*f[a[1]*b[2]*c[1]]^2*f[b[1]*c[3]])/129140163 + 
  (9961472*f[a[1]*a[2]]*f[a[1]^2*b[2]*c[1]]*f[b[1]*c[3]])/43046721 - 
  (49807360*f[a[1]^3*a[2]]*f[a[1]^2*b[2]*c[1]]*f[b[1]*c[3]])/
   387420489 - (9961472*f[a[2]*a[3]]*f[a[1]^2*b[2]*c[1]]*f[b[1]*c[3]])/
   387420489 - (39845888*f[a[1]*a[4]]*f[a[1]^2*b[2]*c[1]]*
     f[b[1]*c[3]])/387420489 + 
  (134742016*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*f[b[1]*c[3]])/
   1162261467 + (6553600*f[b[2]*c[1]]*f[a[1]^2*b[2]*c[1]]*
     f[b[1]*c[3]])/129140163 - 
  (117309440*f[a[1]^2*b[2]*c[1]]^2*f[b[1]*c[3]])/1162261467 - 
  (1556480*f[a[2]]*f[a[1]^3*b[2]*c[1]]*f[b[1]*c[3]])/14348907 + 
  (55721984*f[a[1]^2*a[2]]*f[a[1]^3*b[2]*c[1]]*f[b[1]*c[3]])/
   129140163 - (1632747520*f[a[1]^4*a[2]]*f[a[1]^3*b[2]*c[1]]*
     f[b[1]*c[3]])/3486784401 + 
  (2185920512*f[a[2]^3]*f[a[1]^3*b[2]*c[1]]*f[b[1]*c[3]])/10460353203 - 
  (69730304*f[a[1]*a[2]*a[3]]*f[a[1]^3*b[2]*c[1]]*f[b[1]*c[3]])/
   1162261467 + (6225920*f[a[4]]*f[a[1]^3*b[2]*c[1]]*f[b[1]*c[3]])/
   129140163 - (222887936*f[a[1]^2*a[4]]*f[a[1]^3*b[2]*c[1]]*
     f[b[1]*c[3]])/1162261467 - 
  (38912000*f[a[6]]*f[a[1]^3*b[2]*c[1]]*f[b[1]*c[3]])/1162261467 - 
  (21053440*f[a[2]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*f[b[1]*c[3]])/
   387420489 + (753713152*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[b[1]*c[3]])/3486784401 + 
  (84213760*f[a[4]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*f[b[1]*c[3]])/
   3486784401 + (104857600*f[a[1]*b[2]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[b[1]*c[3]])/1162261467 - 
  (6155141120*f[a[1]^3*b[2]*c[1]]^2*f[b[1]*c[3]])/31381059609 - 
  (311296*f[a[1]]*f[a[2]*b[2]*c[1]]*f[b[1]*c[3]])/1594323 + 
  (1556480*f[a[1]^3]*f[a[2]*b[2]*c[1]]*f[b[1]*c[3]])/14348907 - 
  (38912000*f[a[1]^5]*f[a[2]*b[2]*c[1]]*f[b[1]*c[3]])/387420489 - 
  (8093696*f[a[1]*a[2]^2]*f[a[2]*b[2]*c[1]]*f[b[1]*c[3]])/387420489 - 
  (1556480*f[a[3]]*f[a[2]*b[2]*c[1]]*f[b[1]*c[3]])/4782969 + 
  (3424256*f[a[1]^2*a[3]]*f[a[2]*b[2]*c[1]]*f[b[1]*c[3]])/387420489 + 
  (17121280*f[a[5]]*f[a[2]*b[2]*c[1]]*f[b[1]*c[3]])/129140163 - 
  (4210688*f[a[1]*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*f[b[1]*c[3]])/43046721 + 
  (21053440*f[a[1]^3*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*f[b[1]*c[3]])/
   387420489 - (21053440*f[a[3]*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*
     f[b[1]*c[3]])/129140163 + 
  (167772160*f[a[2]*b[2]*c[1]]^2*f[b[1]*c[3]])/1162261467 - 
  (9961472*f[a[1]^2]*f[a[1]*a[2]*b[2]*c[1]]*f[b[1]*c[3]])/43046721 + 
  (99614720*f[a[1]^4]*f[a[1]*a[2]*b[2]*c[1]]*f[b[1]*c[3]])/387420489 - 
  (1245184000*f[a[1]^6]*f[a[1]*a[2]*b[2]*c[1]]*f[b[1]*c[3]])/
   3486784401 - (159383552*f[a[2]^2]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[1]*c[3]])/387420489 + 
  (19922944*f[a[1]^2*a[2]^2]*f[a[1]*a[2]*b[2]*c[1]]*f[b[1]*c[3]])/
   387420489 - (69730304*f[a[1]*a[3]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[1]*c[3]])/387420489 + 
  (9961472*f[a[1]^3*a[3]]*f[a[1]*a[2]*b[2]*c[1]]*f[b[1]*c[3]])/
   1162261467 + (49807360*f[a[3]^2]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[1]*c[3]])/1162261467 + 
  (3187671040*f[a[2]*a[4]]*f[a[1]*a[2]*b[2]*c[1]]*f[b[1]*c[3]])/
   31381059609 + (2141716480*f[a[1]*a[5]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[1]*c[3]])/31381059609 - 
  (134742016*f[a[1]^2*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*f[b[1]*c[3]])/
   1162261467 + (1347420160*f[a[1]^4*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[1]*c[3]])/10460353203 - 
  (2155872256*f[a[2]^2*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*f[b[1]*c[3]])/
   10460353203 - (943194112*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]]*f[b[1]*c[3]])/10460353203 + 
  (10737418240*f[a[1]*a[2]*b[2]*c[1]]^2*f[b[1]*c[3]])/94143178827 + 
  (1556480*f[a[2]]*f[a[3]*b[2]*c[1]]*f[b[1]*c[3]])/4782969 - 
  (7782400*f[a[1]^2*a[2]]*f[a[3]*b[2]*c[1]]*f[b[1]*c[3]])/129140163 + 
  (38912000*f[a[1]^4*a[2]]*f[a[3]*b[2]*c[1]]*f[b[1]*c[3]])/1162261467 + 
  (40468480*f[a[2]^3]*f[a[3]*b[2]*c[1]]*f[b[1]*c[3]])/387420489 + 
  (49807360*f[a[1]*a[2]*a[3]]*f[a[3]*b[2]*c[1]]*f[b[1]*c[3]])/
   1162261467 + (61014016*f[a[4]]*f[a[3]*b[2]*c[1]]*f[b[1]*c[3]])/
   129140163 - (305070080*f[a[1]^2*a[4]]*f[a[3]*b[2]*c[1]]*
     f[b[1]*c[3]])/3486784401 - 
  (1977663488*f[a[6]]*f[a[3]*b[2]*c[1]]*f[b[1]*c[3]])/10460353203 + 
  (21053440*f[a[2]*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*f[b[1]*c[3]])/
   129140163 - (105267200*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[b[1]*c[3]])/3486784401 + 
  (825294848*f[a[4]*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*f[b[1]*c[3]])/
   3486784401 + (20971520*f[a[1]*b[2]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[b[1]*c[3]])/1162261467 - 
  (104857600*f[a[1]^3*b[2]*c[1]]*f[a[3]*b[2]*c[1]]*f[b[1]*c[3]])/
   10460353203 - (6742343680*f[a[3]*b[2]*c[1]]^2*f[b[1]*c[3]])/
   31381059609 + (102272*f[1]*f[b[3]*c[1]]*f[b[1]*c[3]])/177147 - 
  (511360*f[a[1]^2]*f[b[3]*c[1]]*f[b[1]*c[3]])/4782969 + 
  (2556800*f[a[1]^4]*f[b[3]*c[1]]*f[b[1]*c[3]])/43046721 - 
  (63920000*f[a[1]^6]*f[b[3]*c[1]]*f[b[1]*c[3]])/1162261467 + 
  (2659072*f[a[2]^2]*f[b[3]*c[1]]*f[b[1]*c[3]])/43046721 - 
  (13295360*f[a[1]^2*a[2]^2]*f[b[3]*c[1]]*f[b[1]*c[3]])/1162261467 + 
  (3272704*f[a[1]*a[3]]*f[b[3]*c[1]]*f[b[1]*c[3]])/43046721 - 
  (16363520*f[a[1]^3*a[3]]*f[b[3]*c[1]]*f[b[1]*c[3]])/387420489 - 
  (91328896*f[a[3]^2]*f[b[3]*c[1]]*f[b[1]*c[3]])/1162261467 - 
  (209453056*f[a[2]*a[4]]*f[b[3]*c[1]]*f[b[1]*c[3]])/3486784401 - 
  (212725760*f[a[1]*a[5]]*f[b[3]*c[1]]*f[b[1]*c[3]])/3486784401 - 
  (128128*f[b[1]*c[1]]*f[b[3]*c[1]]*f[b[1]*c[3]])/1594323 + 
  (640640*f[a[1]^2*b[1]*c[1]]*f[b[3]*c[1]]*f[b[1]*c[3]])/43046721 - 
  (3203200*f[a[1]^4*b[1]*c[1]]*f[b[3]*c[1]]*f[b[1]*c[3]])/387420489 - 
  (3331328*f[a[2]^2*b[1]*c[1]]*f[b[3]*c[1]]*f[b[1]*c[3]])/387420489 - 
  (4100096*f[a[1]*a[3]*b[1]*c[1]]*f[b[3]*c[1]]*f[b[1]*c[3]])/
   387420489 - (5242880*f[b[3]*c[1]]^2*f[b[1]*c[3]])/14348907 + 
  (1636352*f[a[1]]*f[a[1]*b[3]*c[1]]*f[b[1]*c[3]])/4782969 - 
  (8181760*f[a[1]^3]*f[a[1]*b[3]*c[1]]*f[b[1]*c[3]])/43046721 + 
  (204544000*f[a[1]^5]*f[a[1]*b[3]*c[1]]*f[b[1]*c[3]])/1162261467 + 
  (42545152*f[a[1]*a[2]^2]*f[a[1]*b[3]*c[1]]*f[b[1]*c[3]])/1162261467 - 
  (1636352*f[a[3]]*f[a[1]*b[3]*c[1]]*f[b[1]*c[3]])/43046721 + 
  (37636096*f[a[1]^2*a[3]]*f[a[1]*b[3]*c[1]]*f[b[1]*c[3]])/387420489 + 
  (106362880*f[a[5]]*f[a[1]*b[3]*c[1]]*f[b[1]*c[3]])/3486784401 - 
  (2050048*f[a[1]*b[1]*c[1]]*f[a[1]*b[3]*c[1]]*f[b[1]*c[3]])/43046721 + 
  (10250240*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[3]*c[1]]*f[b[1]*c[3]])/
   387420489 + (2050048*f[a[3]*b[1]*c[1]]*f[a[1]*b[3]*c[1]]*
     f[b[1]*c[3]])/387420489 - 
  (482344960*f[a[2]*b[2]*c[1]]*f[a[1]*b[3]*c[1]]*f[b[1]*c[3]])/
   3486784401 - (83886080*f[a[1]*b[3]*c[1]]^2*f[b[1]*c[3]])/387420489 - 
  (511360*f[1]*f[a[1]^2*b[3]*c[1]]*f[b[1]*c[3]])/4782969 + 
  (18306688*f[a[1]^2]*f[a[1]^2*b[3]*c[1]]*f[b[1]*c[3]])/43046721 - 
  (536416640*f[a[1]^4]*f[a[1]^2*b[3]*c[1]]*f[b[1]*c[3]])/1162261467 + 
  (19955824000*f[a[1]^6]*f[a[1]^2*b[3]*c[1]]*f[b[1]*c[3]])/
   31381059609 + (797926144*f[a[2]^2]*f[a[1]^2*b[3]*c[1]]*
     f[b[1]*c[3]])/3486784401 + 
  (94703872*f[a[1]^2*a[2]^2]*f[a[1]^2*b[3]*c[1]]*f[b[1]*c[3]])/
   94143178827 - (22908928*f[a[1]*a[3]]*f[a[1]^2*b[3]*c[1]]*
     f[b[1]*c[3]])/387420489 + 
  (2019258368*f[a[1]^3*a[3]]*f[a[1]^2*b[3]*c[1]]*f[b[1]*c[3]])/
   10460353203 + (613734272*f[a[3]^2]*f[a[1]^2*b[3]*c[1]]*
     f[b[1]*c[3]])/31381059609 - 
  (9006481408*f[a[2]*a[4]]*f[a[1]^2*b[3]*c[1]]*f[b[1]*c[3]])/
   94143178827 + (1489080320*f[a[1]*a[5]]*f[a[1]^2*b[3]*c[1]]*
     f[b[1]*c[3]])/31381059609 + 
  (640640*f[b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*f[b[1]*c[3]])/43046721 - 
  (22934912*f[a[1]^2*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*f[b[1]*c[3]])/
   387420489 + (672031360*f[a[1]^4*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[b[1]*c[3]])/10460353203 - 
  (999654656*f[a[2]^2*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*f[b[1]*c[3]])/
   31381059609 + (28700672*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[b[1]*c[3]])/3486784401 - 
  (15435038720*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[b[1]*c[3]])/94143178827 + 
  (52428800*f[b[3]*c[1]]*f[a[1]^2*b[3]*c[1]]*f[b[1]*c[3]])/387420489 - 
  (938475520*f[a[1]^2*b[3]*c[1]]^2*f[b[1]*c[3]])/3486784401 - 
  (26181632*f[a[2]]*f[a[2]*b[3]*c[1]]*f[b[1]*c[3]])/43046721 + 
  (130908160*f[a[1]^2*a[2]]*f[a[2]*b[3]*c[1]]*f[b[1]*c[3]])/
   1162261467 - (654540800*f[a[1]^4*a[2]]*f[a[2]*b[3]*c[1]]*
     f[b[1]*c[3]])/10460353203 - 
  (680722432*f[a[2]^3]*f[a[2]*b[3]*c[1]]*f[b[1]*c[3]])/3486784401 - 
  (837812224*f[a[1]*a[2]*a[3]]*f[a[2]*b[3]*c[1]]*f[b[1]*c[3]])/
   10460353203 + (104726528*f[a[4]]*f[a[2]*b[3]*c[1]]*f[b[1]*c[3]])/
   3486784401 - (523632640*f[a[1]^2*a[4]]*f[a[2]*b[3]*c[1]]*
     f[b[1]*c[3]])/94143178827 - 
  (287997952*f[a[6]]*f[a[2]*b[3]*c[1]]*f[b[1]*c[3]])/10460353203 + 
  (32800768*f[a[2]*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*f[b[1]*c[3]])/
   387420489 - (164003840*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[b[1]*c[3]])/10460353203 - 
  (131203072*f[a[4]*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*f[b[1]*c[3]])/
   31381059609 + (482344960*f[a[1]*b[2]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[b[1]*c[3]])/3486784401 - 
  (2411724800*f[a[1]^3*b[2]*c[1]]*f[a[2]*b[3]*c[1]]*f[b[1]*c[3]])/
   31381059609 + (2411724800*f[a[3]*b[2]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[b[1]*c[3]])/10460353203 + 
  (1342177280*f[a[2]*b[3]*c[1]]^2*f[b[1]*c[3]])/3486784401 - 
  (16252928*f[b[2]*c[1]]*f[b[4]*c[1]]*f[b[1]*c[3]])/43046721 + 
  (81264640*f[a[1]^2*b[2]*c[1]]*f[b[4]*c[1]]*f[b[1]*c[3]])/1162261467 + 
  (34078720*f[b[4]*c[1]]^2*f[b[1]*c[3]])/129140163 + 
  (13598720*f[a[2]]*f[a[1]*b[4]*c[1]]*f[b[1]*c[3]])/43046721 - 
  (67993600*f[a[1]^2*a[2]]*f[a[1]*b[4]*c[1]]*f[b[1]*c[3]])/1162261467 + 
  (339968000*f[a[1]^4*a[2]]*f[a[1]*b[4]*c[1]]*f[b[1]*c[3]])/
   10460353203 + (353566720*f[a[2]^3]*f[a[1]*b[4]*c[1]]*f[b[1]*c[3]])/
   3486784401 + (435159040*f[a[1]*a[2]*a[3]]*f[a[1]*b[4]*c[1]]*
     f[b[1]*c[3]])/10460353203 - 
  (54394880*f[a[4]]*f[a[1]*b[4]*c[1]]*f[b[1]*c[3]])/387420489 + 
  (271974400*f[a[1]^2*a[4]]*f[a[1]*b[4]*c[1]]*f[b[1]*c[3]])/
   10460353203 + (339968000*f[a[6]]*f[a[1]*b[4]*c[1]]*f[b[1]*c[3]])/
   3486784401 - (1146880*f[a[2]*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[b[1]*c[3]])/129140163 + 
  (5734400*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*f[b[1]*c[3]])/
   3486784401 + (4587520*f[a[4]*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[b[1]*c[3]])/1162261467 - 
  (260046848*f[a[1]*b[2]*c[1]]*f[a[1]*b[4]*c[1]]*f[b[1]*c[3]])/
   1162261467 + (1300234240*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[b[1]*c[3]])/10460353203 + 
  (260046848*f[a[3]*b[2]*c[1]]*f[a[1]*b[4]*c[1]]*f[b[1]*c[3]])/
   10460353203 - (9151971328*f[a[2]*b[3]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[b[1]*c[3]])/31381059609 + 
  (545259520*f[a[1]*b[4]*c[1]]^2*f[b[1]*c[3]])/3486784401 + 
  (1336960*f[1]*f[b[5]*c[1]]*f[b[1]*c[3]])/4782969 - 
  (6684800*f[a[1]^2]*f[b[5]*c[1]]*f[b[1]*c[3]])/129140163 + 
  (33424000*f[a[1]^4]*f[b[5]*c[1]]*f[b[1]*c[3]])/1162261467 - 
  (835600000*f[a[1]^6]*f[b[5]*c[1]]*f[b[1]*c[3]])/31381059609 + 
  (34760960*f[a[2]^2]*f[b[5]*c[1]]*f[b[1]*c[3]])/1162261467 - 
  (173804800*f[a[1]^2*a[2]^2]*f[b[5]*c[1]]*f[b[1]*c[3]])/31381059609 + 
  (42782720*f[a[1]*a[3]]*f[b[5]*c[1]]*f[b[1]*c[3]])/1162261467 - 
  (213913600*f[a[1]^3*a[3]]*f[b[5]*c[1]]*f[b[1]*c[3]])/10460353203 - 
  (1193905280*f[a[3]^2]*f[b[5]*c[1]]*f[b[1]*c[3]])/31381059609 - 
  (2738094080*f[a[2]*a[4]]*f[b[5]*c[1]]*f[b[1]*c[3]])/94143178827 - 
  (2780876800*f[a[1]*a[5]]*f[b[5]*c[1]]*f[b[1]*c[3]])/94143178827 + 
  (6789760*f[b[1]*c[1]]*f[b[5]*c[1]]*f[b[1]*c[3]])/43046721 - 
  (33948800*f[a[1]^2*b[1]*c[1]]*f[b[5]*c[1]]*f[b[1]*c[3]])/1162261467 + 
  (169744000*f[a[1]^4*b[1]*c[1]]*f[b[5]*c[1]]*f[b[1]*c[3]])/
   10460353203 + (176533760*f[a[2]^2*b[1]*c[1]]*f[b[5]*c[1]]*
     f[b[1]*c[3]])/10460353203 + 
  (217272320*f[a[1]*a[3]*b[1]*c[1]]*f[b[5]*c[1]]*f[b[1]*c[3]])/
   10460353203 + (293601280*f[b[3]*c[1]]*f[b[5]*c[1]]*f[b[1]*c[3]])/
   1162261467 - (1468006400*f[a[1]^2*b[3]*c[1]]*f[b[5]*c[1]]*
     f[b[1]*c[3]])/31381059609 + 
  (1861222400*f[b[5]*c[1]]^2*f[b[1]*c[3]])/31381059609 - 
  (409600*f[b[2]*c[1]]*f[b[1]*c[2]]*f[b[1]*c[3]])/1594323 + 
  (2048000*f[a[1]^2*b[2]*c[1]]*f[b[1]*c[2]]*f[b[1]*c[3]])/43046721 - 
  (9011200*f[b[4]*c[1]]*f[b[1]*c[2]]*f[b[1]*c[3]])/43046721 - 
  (204800*f[a[2]]*f[a[1]*b[1]*c[2]]*f[b[1]*c[3]])/4782969 + 
  (1024000*f[a[1]^2*a[2]]*f[a[1]*b[1]*c[2]]*f[b[1]*c[3]])/129140163 - 
  (5120000*f[a[1]^4*a[2]]*f[a[1]*b[1]*c[2]]*f[b[1]*c[3]])/1162261467 - 
  (5324800*f[a[2]^3]*f[a[1]*b[1]*c[2]]*f[b[1]*c[3]])/387420489 - 
  (6553600*f[a[1]*a[2]*a[3]]*f[a[1]*b[1]*c[2]]*f[b[1]*c[3]])/
   1162261467 + (819200*f[a[4]]*f[a[1]*b[1]*c[2]]*f[b[1]*c[3]])/
   43046721 - (4096000*f[a[1]^2*a[4]]*f[a[1]*b[1]*c[2]]*f[b[1]*c[3]])/
   1162261467 - (5120000*f[a[6]]*f[a[1]*b[1]*c[2]]*f[b[1]*c[3]])/
   387420489 - (204800*f[a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[b[1]*c[3]])/4782969 + (1024000*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*b[1]*c[2]]*f[b[1]*c[3]])/129140163 + 
  (819200*f[a[4]*b[1]*c[1]]*f[a[1]*b[1]*c[2]]*f[b[1]*c[3]])/43046721 - 
  (6553600*f[a[1]*b[2]*c[1]]*f[a[1]*b[1]*c[2]]*f[b[1]*c[3]])/43046721 + 
  (32768000*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[1]*c[2]]*f[b[1]*c[3]])/
   387420489 + (6553600*f[a[3]*b[2]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[b[1]*c[3]])/387420489 + 
  (241172480*f[a[2]*b[3]*c[1]]*f[a[1]*b[1]*c[2]]*f[b[1]*c[3]])/
   3486784401 - (144179200*f[a[1]*b[4]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[b[1]*c[3]])/1162261467 - 
  (6553600*f[a[1]*a[2]]*f[a[1]^2*b[1]*c[2]]*f[b[1]*c[3]])/129140163 + 
  (32768000*f[a[1]^3*a[2]]*f[a[1]^2*b[1]*c[2]]*f[b[1]*c[3]])/
   1162261467 + (6553600*f[a[2]*a[3]]*f[a[1]^2*b[1]*c[2]]*
     f[b[1]*c[3]])/1162261467 + 
  (26214400*f[a[1]*a[4]]*f[a[1]^2*b[1]*c[2]]*f[b[1]*c[3]])/1162261467 - 
  (6553600*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]]*f[b[1]*c[3]])/
   129140163 + (2048000*f[b[2]*c[1]]*f[a[1]^2*b[1]*c[2]]*f[b[1]*c[3]])/
   43046721 - (73318400*f[a[1]^2*b[2]*c[1]]*f[a[1]^2*b[1]*c[2]]*
     f[b[1]*c[3]])/387420489 + 
  (45056000*f[b[4]*c[1]]*f[a[1]^2*b[1]*c[2]]*f[b[1]*c[3]])/1162261467 + 
  (1024000*f[a[2]]*f[a[1]^3*b[1]*c[2]]*f[b[1]*c[3]])/43046721 - 
  (36659200*f[a[1]^2*a[2]]*f[a[1]^3*b[1]*c[2]]*f[b[1]*c[3]])/
   387420489 + (1074176000*f[a[1]^4*a[2]]*f[a[1]^3*b[1]*c[2]]*
     f[b[1]*c[3]])/10460353203 - 
  (1438105600*f[a[2]^3]*f[a[1]^3*b[1]*c[2]]*f[b[1]*c[3]])/31381059609 + 
  (45875200*f[a[1]*a[2]*a[3]]*f[a[1]^3*b[1]*c[2]]*f[b[1]*c[3]])/
   3486784401 - (4096000*f[a[4]]*f[a[1]^3*b[1]*c[2]]*f[b[1]*c[3]])/
   387420489 + (146636800*f[a[1]^2*a[4]]*f[a[1]^3*b[1]*c[2]]*
     f[b[1]*c[3]])/3486784401 + 
  (25600000*f[a[6]]*f[a[1]^3*b[1]*c[2]]*f[b[1]*c[3]])/3486784401 + 
  (1024000*f[a[2]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*f[b[1]*c[3]])/
   43046721 - (36659200*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[b[1]*c[3]])/387420489 - 
  (4096000*f[a[4]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*f[b[1]*c[3]])/
   387420489 + (32768000*f[a[1]*b[2]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[b[1]*c[3]])/387420489 - 
  (3846963200*f[a[1]^3*b[2]*c[1]]*f[a[1]^3*b[1]*c[2]]*f[b[1]*c[3]])/
   10460353203 - (32768000*f[a[3]*b[2]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[b[1]*c[3]])/3486784401 - 
  (1205862400*f[a[2]*b[3]*c[1]]*f[a[1]^3*b[1]*c[2]]*f[b[1]*c[3]])/
   31381059609 + (720896000*f[a[1]*b[4]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[b[1]*c[3]])/10460353203 + 
  (204800*f[a[1]]*f[a[2]*b[1]*c[2]]*f[b[1]*c[3]])/4782969 - 
  (1024000*f[a[1]^3]*f[a[2]*b[1]*c[2]]*f[b[1]*c[3]])/43046721 + 
  (25600000*f[a[1]^5]*f[a[2]*b[1]*c[2]]*f[b[1]*c[3]])/1162261467 + 
  (5324800*f[a[1]*a[2]^2]*f[a[2]*b[1]*c[2]]*f[b[1]*c[3]])/1162261467 + 
  (1024000*f[a[3]]*f[a[2]*b[1]*c[2]]*f[b[1]*c[3]])/14348907 - 
  (2252800*f[a[1]^2*a[3]]*f[a[2]*b[1]*c[2]]*f[b[1]*c[3]])/1162261467 - 
  (11264000*f[a[5]]*f[a[2]*b[1]*c[2]]*f[b[1]*c[3]])/387420489 + 
  (204800*f[a[1]*b[1]*c[1]]*f[a[2]*b[1]*c[2]]*f[b[1]*c[3]])/4782969 - 
  (1024000*f[a[1]^3*b[1]*c[1]]*f[a[2]*b[1]*c[2]]*f[b[1]*c[3]])/
   43046721 + (1024000*f[a[3]*b[1]*c[1]]*f[a[2]*b[1]*c[2]]*
     f[b[1]*c[3]])/14348907 + 
  (104857600*f[a[2]*b[2]*c[1]]*f[a[2]*b[1]*c[2]]*f[b[1]*c[3]])/
   387420489 - (241172480*f[a[1]*b[3]*c[1]]*f[a[2]*b[1]*c[2]]*
     f[b[1]*c[3]])/3486784401 + 
  (6553600*f[a[1]^2]*f[a[1]*a[2]*b[1]*c[2]]*f[b[1]*c[3]])/129140163 - 
  (65536000*f[a[1]^4]*f[a[1]*a[2]*b[1]*c[2]]*f[b[1]*c[3]])/1162261467 + 
  (819200000*f[a[1]^6]*f[a[1]*a[2]*b[1]*c[2]]*f[b[1]*c[3]])/
   10460353203 + (104857600*f[a[2]^2]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[1]*c[3]])/1162261467 - 
  (13107200*f[a[1]^2*a[2]^2]*f[a[1]*a[2]*b[1]*c[2]]*f[b[1]*c[3]])/
   1162261467 + (45875200*f[a[1]*a[3]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[1]*c[3]])/1162261467 - 
  (6553600*f[a[1]^3*a[3]]*f[a[1]*a[2]*b[1]*c[2]]*f[b[1]*c[3]])/
   3486784401 - (32768000*f[a[3]^2]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[1]*c[3]])/3486784401 - 
  (2097152000*f[a[2]*a[4]]*f[a[1]*a[2]*b[1]*c[2]]*f[b[1]*c[3]])/
   94143178827 - (1409024000*f[a[1]*a[5]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[1]*c[3]])/94143178827 + 
  (6553600*f[a[1]^2*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*f[b[1]*c[3]])/
   129140163 - (65536000*f[a[1]^4*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[1]*c[3]])/1162261467 + 
  (104857600*f[a[2]^2*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*f[b[1]*c[3]])/
   1162261467 + (45875200*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[1]*c[3]])/1162261467 + 
  (6710886400*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[1]*c[3]])/31381059609 - 
  (7717519360*f[a[1]^2*b[3]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*f[b[1]*c[3]])/
   94143178827 - (1024000*f[a[2]]*f[a[3]*b[1]*c[2]]*f[b[1]*c[3]])/
   14348907 + (5120000*f[a[1]^2*a[2]]*f[a[3]*b[1]*c[2]]*f[b[1]*c[3]])/
   387420489 - (25600000*f[a[1]^4*a[2]]*f[a[3]*b[1]*c[2]]*
     f[b[1]*c[3]])/3486784401 - 
  (26624000*f[a[2]^3]*f[a[3]*b[1]*c[2]]*f[b[1]*c[3]])/1162261467 - 
  (32768000*f[a[1]*a[2]*a[3]]*f[a[3]*b[1]*c[2]]*f[b[1]*c[3]])/
   3486784401 - (40140800*f[a[4]]*f[a[3]*b[1]*c[2]]*f[b[1]*c[3]])/
   387420489 + (200704000*f[a[1]^2*a[4]]*f[a[3]*b[1]*c[2]]*
     f[b[1]*c[3]])/10460353203 + 
  (1301094400*f[a[6]]*f[a[3]*b[1]*c[2]]*f[b[1]*c[3]])/31381059609 - 
  (1024000*f[a[2]*b[1]*c[1]]*f[a[3]*b[1]*c[2]]*f[b[1]*c[3]])/14348907 + 
  (5120000*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[3]*b[1]*c[2]]*f[b[1]*c[3]])/
   387420489 - (40140800*f[a[4]*b[1]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[b[1]*c[3]])/387420489 + 
  (6553600*f[a[1]*b[2]*c[1]]*f[a[3]*b[1]*c[2]]*f[b[1]*c[3]])/
   387420489 - (32768000*f[a[1]^3*b[2]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[b[1]*c[3]])/3486784401 - 
  (4213964800*f[a[3]*b[2]*c[1]]*f[a[3]*b[1]*c[2]]*f[b[1]*c[3]])/
   10460353203 + (1205862400*f[a[2]*b[3]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[b[1]*c[3]])/10460353203 + 
  (144179200*f[a[1]*b[4]*c[1]]*f[a[3]*b[1]*c[2]]*f[b[1]*c[3]])/
   10460353203 + (21280*f[1]*f[b[2]*c[2]]*f[b[1]*c[3]])/59049 - 
  (106400*f[a[1]^2]*f[b[2]*c[2]]*f[b[1]*c[3]])/1594323 + 
  (532000*f[a[1]^4]*f[b[2]*c[2]]*f[b[1]*c[3]])/14348907 - 
  (13300000*f[a[1]^6]*f[b[2]*c[2]]*f[b[1]*c[3]])/387420489 + 
  (553280*f[a[2]^2]*f[b[2]*c[2]]*f[b[1]*c[3]])/14348907 - 
  (2766400*f[a[1]^2*a[2]^2]*f[b[2]*c[2]]*f[b[1]*c[3]])/387420489 + 
  (680960*f[a[1]*a[3]]*f[b[2]*c[2]]*f[b[1]*c[3]])/14348907 - 
  (3404800*f[a[1]^3*a[3]]*f[b[2]*c[2]]*f[b[1]*c[3]])/129140163 - 
  (19003040*f[a[3]^2]*f[b[2]*c[2]]*f[b[1]*c[3]])/387420489 - 
  (43581440*f[a[2]*a[4]]*f[b[2]*c[2]]*f[b[1]*c[3]])/1162261467 - 
  (44262400*f[a[1]*a[5]]*f[b[2]*c[2]]*f[b[1]*c[3]])/1162261467 + 
  (993440*f[b[1]*c[1]]*f[b[2]*c[2]]*f[b[1]*c[3]])/4782969 - 
  (4967200*f[a[1]^2*b[1]*c[1]]*f[b[2]*c[2]]*f[b[1]*c[3]])/129140163 + 
  (24836000*f[a[1]^4*b[1]*c[1]]*f[b[2]*c[2]]*f[b[1]*c[3]])/1162261467 + 
  (25829440*f[a[2]^2*b[1]*c[1]]*f[b[2]*c[2]]*f[b[1]*c[3]])/1162261467 + 
  (31790080*f[a[1]*a[3]*b[1]*c[1]]*f[b[2]*c[2]]*f[b[1]*c[3]])/
   1162261467 + (35380352*f[b[3]*c[1]]*f[b[2]*c[2]]*f[b[1]*c[3]])/
   129140163 - (176901760*f[a[1]^2*b[3]*c[1]]*f[b[2]*c[2]]*
     f[b[1]*c[3]])/3486784401 + 
  (160576640*f[b[5]*c[1]]*f[b[2]*c[2]]*f[b[1]*c[3]])/1162261467 - 
  (4160560*f[b[2]*c[2]]^2*f[b[1]*c[3]])/14348907 + 
  (340480*f[a[1]]*f[a[1]*b[2]*c[2]]*f[b[1]*c[3]])/1594323 - 
  (1702400*f[a[1]^3]*f[a[1]*b[2]*c[2]]*f[b[1]*c[3]])/14348907 + 
  (42560000*f[a[1]^5]*f[a[1]*b[2]*c[2]]*f[b[1]*c[3]])/387420489 + 
  (8852480*f[a[1]*a[2]^2]*f[a[1]*b[2]*c[2]]*f[b[1]*c[3]])/387420489 - 
  (340480*f[a[3]]*f[a[1]*b[2]*c[2]]*f[b[1]*c[3]])/14348907 + 
  (7831040*f[a[1]^2*a[3]]*f[a[1]*b[2]*c[2]]*f[b[1]*c[3]])/129140163 + 
  (22131200*f[a[5]]*f[a[1]*b[2]*c[2]]*f[b[1]*c[3]])/1162261467 + 
  (15895040*f[a[1]*b[1]*c[1]]*f[a[1]*b[2]*c[2]]*f[b[1]*c[3]])/
   129140163 - (79475200*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[2]*c[2]]*
     f[b[1]*c[3]])/1162261467 - 
  (15895040*f[a[3]*b[1]*c[1]]*f[a[1]*b[2]*c[2]]*f[b[1]*c[3]])/
   1162261467 - (10436608*f[a[2]*b[2]*c[1]]*f[a[1]*b[2]*c[2]]*
     f[b[1]*c[3]])/129140163 + 
  (566085632*f[a[1]*b[3]*c[1]]*f[a[1]*b[2]*c[2]]*f[b[1]*c[3]])/
   3486784401 + (81305600*f[a[2]*b[1]*c[2]]*f[a[1]*b[2]*c[2]]*
     f[b[1]*c[3]])/1162261467 - 
  (66568960*f[a[1]*b[2]*c[2]]^2*f[b[1]*c[3]])/387420489 - 
  (106400*f[1]*f[a[1]^2*b[2]*c[2]]*f[b[1]*c[3]])/1594323 + 
  (3809120*f[a[1]^2]*f[a[1]^2*b[2]*c[2]]*f[b[1]*c[3]])/14348907 - 
  (111613600*f[a[1]^4]*f[a[1]^2*b[2]*c[2]]*f[b[1]*c[3]])/387420489 + 
  (4152260000*f[a[1]^6]*f[a[1]^2*b[2]*c[2]]*f[b[1]*c[3]])/10460353203 + 
  (166026560*f[a[2]^2]*f[a[1]^2*b[2]*c[2]]*f[b[1]*c[3]])/1162261467 + 
  (19705280*f[a[1]^2*a[2]^2]*f[a[1]^2*b[2]*c[2]]*f[b[1]*c[3]])/
   31381059609 - (4766720*f[a[1]*a[3]]*f[a[1]^2*b[2]*c[2]]*
     f[b[1]*c[3]])/129140163 + 
  (420152320*f[a[1]^3*a[3]]*f[a[1]^2*b[2]*c[2]]*f[b[1]*c[3]])/
   3486784401 + (127701280*f[a[3]^2]*f[a[1]^2*b[2]*c[2]]*f[b[1]*c[3]])/
   10460353203 - (1874001920*f[a[2]*a[4]]*f[a[1]^2*b[2]*c[2]]*
     f[b[1]*c[3]])/31381059609 + 
  (309836800*f[a[1]*a[5]]*f[a[1]^2*b[2]*c[2]]*f[b[1]*c[3]])/
   10460353203 - (4967200*f[b[1]*c[1]]*f[a[1]^2*b[2]*c[2]]*
     f[b[1]*c[3]])/129140163 + 
  (177825760*f[a[1]^2*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]]*f[b[1]*c[3]])/
   1162261467 - (5210592800*f[a[1]^4*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]]*
     f[b[1]*c[3]])/31381059609 + 
  (7750818880*f[a[2]^2*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]]*f[b[1]*c[3]])/
   94143178827 - (222530560*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]]*
     f[b[1]*c[3]])/10460353203 - 
  (333971456*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]^2*b[2]*c[2]]*f[b[1]*c[3]])/
   3486784401 - (176901760*f[b[3]*c[1]]*f[a[1]^2*b[2]*c[2]]*
     f[b[1]*c[3]])/3486784401 + 
  (6333083008*f[a[1]^2*b[3]*c[1]]*f[a[1]^2*b[2]*c[2]]*f[b[1]*c[3]])/
   31381059609 - (802883200*f[b[5]*c[1]]*f[a[1]^2*b[2]*c[2]]*
     f[b[1]*c[3]])/31381059609 + 
  (2601779200*f[a[1]*a[2]*b[1]*c[2]]*f[a[1]^2*b[2]*c[2]]*f[b[1]*c[3]])/
   31381059609 + (41605600*f[b[2]*c[2]]*f[a[1]^2*b[2]*c[2]]*
     f[b[1]*c[3]])/387420489 - 
  (744740240*f[a[1]^2*b[2]*c[2]]^2*f[b[1]*c[3]])/3486784401 - 
  (5447680*f[a[2]]*f[a[2]*b[2]*c[2]]*f[b[1]*c[3]])/14348907 + 
  (27238400*f[a[1]^2*a[2]]*f[a[2]*b[2]*c[2]]*f[b[1]*c[3]])/387420489 - 
  (136192000*f[a[1]^4*a[2]]*f[a[2]*b[2]*c[2]]*f[b[1]*c[3]])/
   3486784401 - (141639680*f[a[2]^3]*f[a[2]*b[2]*c[2]]*f[b[1]*c[3]])/
   1162261467 - (174325760*f[a[1]*a[2]*a[3]]*f[a[2]*b[2]*c[2]]*
     f[b[1]*c[3]])/3486784401 + 
  (21790720*f[a[4]]*f[a[2]*b[2]*c[2]]*f[b[1]*c[3]])/1162261467 - 
  (108953600*f[a[1]^2*a[4]]*f[a[2]*b[2]*c[2]]*f[b[1]*c[3]])/
   31381059609 - (59924480*f[a[6]]*f[a[2]*b[2]*c[2]]*f[b[1]*c[3]])/
   3486784401 - (254320640*f[a[2]*b[1]*c[1]]*f[a[2]*b[2]*c[2]]*
     f[b[1]*c[3]])/1162261467 + 
  (1271603200*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[2]*b[2]*c[2]]*f[b[1]*c[3]])/
   31381059609 + (1017282560*f[a[4]*b[1]*c[1]]*f[a[2]*b[2]*c[2]]*
     f[b[1]*c[3]])/94143178827 + 
  (10436608*f[a[1]*b[2]*c[1]]*f[a[2]*b[2]*c[2]]*f[b[1]*c[3]])/
   129140163 - (52183040*f[a[1]^3*b[2]*c[1]]*f[a[2]*b[2]*c[2]]*
     f[b[1]*c[3]])/1162261467 + 
  (52183040*f[a[3]*b[2]*c[1]]*f[a[2]*b[2]*c[2]]*f[b[1]*c[3]])/
   387420489 - (9057370112*f[a[2]*b[3]*c[1]]*f[a[2]*b[2]*c[2]]*
     f[b[1]*c[3]])/31381059609 + 
  (13901332480*f[a[1]*b[4]*c[1]]*f[a[2]*b[2]*c[2]]*f[b[1]*c[3]])/
   94143178827 - (81305600*f[a[1]*b[1]*c[2]]*f[a[2]*b[2]*c[2]]*
     f[b[1]*c[3]])/1162261467 + 
  (406528000*f[a[1]^3*b[1]*c[2]]*f[a[2]*b[2]*c[2]]*f[b[1]*c[3]])/
   10460353203 - (406528000*f[a[3]*b[1]*c[2]]*f[a[2]*b[2]*c[2]]*
     f[b[1]*c[3]])/3486784401 + 
  (1065103360*f[a[2]*b[2]*c[2]]^2*f[b[1]*c[3]])/3486784401 + 
  (20824064*f[b[2]*c[1]]*f[b[3]*c[2]]*f[b[1]*c[3]])/43046721 - 
  (104120320*f[a[1]^2*b[2]*c[1]]*f[b[3]*c[2]]*f[b[1]*c[3]])/
   1162261467 + (510361600*f[b[4]*c[1]]*f[b[3]*c[2]]*f[b[1]*c[3]])/
   3486784401 + (23756800*f[b[1]*c[2]]*f[b[3]*c[2]]*f[b[1]*c[3]])/
   129140163 - (118784000*f[a[1]^2*b[1]*c[2]]*f[b[3]*c[2]]*
     f[b[1]*c[3]])/3486784401 - 
  (90275840*f[b[3]*c[2]]^2*f[b[1]*c[3]])/387420489 + 
  (45015040*f[a[2]]*f[a[1]*b[3]*c[2]]*f[b[1]*c[3]])/129140163 - 
  (225075200*f[a[1]^2*a[2]]*f[a[1]*b[3]*c[2]]*f[b[1]*c[3]])/
   3486784401 + (1125376000*f[a[1]^4*a[2]]*f[a[1]*b[3]*c[2]]*
     f[b[1]*c[3]])/31381059609 + 
  (1170391040*f[a[2]^3]*f[a[1]*b[3]*c[2]]*f[b[1]*c[3]])/10460353203 + 
  (1440481280*f[a[1]*a[2]*a[3]]*f[a[1]*b[3]*c[2]]*f[b[1]*c[3]])/
   31381059609 - (180060160*f[a[4]]*f[a[1]*b[3]*c[2]]*f[b[1]*c[3]])/
   1162261467 + (900300800*f[a[1]^2*a[4]]*f[a[1]*b[3]*c[2]]*
     f[b[1]*c[3]])/31381059609 + 
  (1125376000*f[a[6]]*f[a[1]*b[3]*c[2]]*f[b[1]*c[3]])/10460353203 + 
  (879861760*f[a[2]*b[1]*c[1]]*f[a[1]*b[3]*c[2]]*f[b[1]*c[3]])/
   3486784401 - (4399308800*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[3]*c[2]]*
     f[b[1]*c[3]])/94143178827 - 
  (3519447040*f[a[4]*b[1]*c[1]]*f[a[1]*b[3]*c[2]]*f[b[1]*c[3]])/
   31381059609 + (333185024*f[a[1]*b[2]*c[1]]*f[a[1]*b[3]*c[2]]*
     f[b[1]*c[3]])/1162261467 - 
  (1665925120*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[3]*c[2]]*f[b[1]*c[3]])/
   10460353203 - (333185024*f[a[3]*b[2]*c[1]]*f[a[1]*b[3]*c[2]]*
     f[b[1]*c[3]])/10460353203 - 
  (27262976*f[a[2]*b[3]*c[1]]*f[a[1]*b[3]*c[2]]*f[b[1]*c[3]])/
   1162261467 + (8165785600*f[a[1]*b[4]*c[1]]*f[a[1]*b[3]*c[2]]*
     f[b[1]*c[3]])/94143178827 + 
  (380108800*f[a[1]*b[1]*c[2]]*f[a[1]*b[3]*c[2]]*f[b[1]*c[3]])/
   3486784401 - (1900544000*f[a[1]^3*b[1]*c[2]]*f[a[1]*b[3]*c[2]]*
     f[b[1]*c[3]])/31381059609 - 
  (380108800*f[a[3]*b[1]*c[2]]*f[a[1]*b[3]*c[2]]*f[b[1]*c[3]])/
   31381059609 - (2198773760*f[a[2]*b[2]*c[2]]*f[a[1]*b[3]*c[2]]*
     f[b[1]*c[3]])/31381059609 - 
  (1444413440*f[a[1]*b[3]*c[2]]^2*f[b[1]*c[3]])/10460353203 + 
  (3443200*f[1]*f[b[4]*c[2]]*f[b[1]*c[3]])/4782969 - 
  (17216000*f[a[1]^2]*f[b[4]*c[2]]*f[b[1]*c[3]])/129140163 + 
  (86080000*f[a[1]^4]*f[b[4]*c[2]]*f[b[1]*c[3]])/1162261467 - 
  (2152000000*f[a[1]^6]*f[b[4]*c[2]]*f[b[1]*c[3]])/31381059609 + 
  (89523200*f[a[2]^2]*f[b[4]*c[2]]*f[b[1]*c[3]])/1162261467 - 
  (447616000*f[a[1]^2*a[2]^2]*f[b[4]*c[2]]*f[b[1]*c[3]])/31381059609 + 
  (110182400*f[a[1]*a[3]]*f[b[4]*c[2]]*f[b[1]*c[3]])/1162261467 - 
  (550912000*f[a[1]^3*a[3]]*f[b[4]*c[2]]*f[b[1]*c[3]])/10460353203 - 
  (3074777600*f[a[3]^2]*f[b[4]*c[2]]*f[b[1]*c[3]])/31381059609 - 
  (7051673600*f[a[2]*a[4]]*f[b[4]*c[2]]*f[b[1]*c[3]])/94143178827 - 
  (7161856000*f[a[1]*a[5]]*f[b[4]*c[2]]*f[b[1]*c[3]])/94143178827 + 
  (22796800*f[b[1]*c[1]]*f[b[4]*c[2]]*f[b[1]*c[3]])/43046721 - 
  (113984000*f[a[1]^2*b[1]*c[1]]*f[b[4]*c[2]]*f[b[1]*c[3]])/
   1162261467 + (569920000*f[a[1]^4*b[1]*c[1]]*f[b[4]*c[2]]*
     f[b[1]*c[3]])/10460353203 + 
  (592716800*f[a[2]^2*b[1]*c[1]]*f[b[4]*c[2]]*f[b[1]*c[3]])/
   10460353203 + (729497600*f[a[1]*a[3]*b[1]*c[1]]*f[b[4]*c[2]]*
     f[b[1]*c[3]])/10460353203 - 
  (333905920*f[b[3]*c[1]]*f[b[4]*c[2]]*f[b[1]*c[3]])/3486784401 + 
  (1669529600*f[a[1]^2*b[3]*c[1]]*f[b[4]*c[2]]*f[b[1]*c[3]])/
   94143178827 + (4612096000*f[b[5]*c[1]]*f[b[4]*c[2]]*f[b[1]*c[3]])/
   94143178827 - (417267200*f[b[2]*c[2]]*f[b[4]*c[2]]*f[b[1]*c[3]])/
   1162261467 + (2086336000*f[a[1]^2*b[2]*c[2]]*f[b[4]*c[2]]*
     f[b[1]*c[3]])/31381059609 + 
  (901120000*f[b[4]*c[2]]^2*f[b[1]*c[3]])/31381059609 + 
  (221920*f[1]*f[b[1]*b[2]*c[1]*c[2]]*f[b[1]*c[3]])/1594323 - 
  (1109600*f[a[1]^2]*f[b[1]*b[2]*c[1]*c[2]]*f[b[1]*c[3]])/43046721 + 
  (5548000*f[a[1]^4]*f[b[1]*b[2]*c[1]*c[2]]*f[b[1]*c[3]])/387420489 - 
  (138700000*f[a[1]^6]*f[b[1]*b[2]*c[1]*c[2]]*f[b[1]*c[3]])/
   10460353203 + (5769920*f[a[2]^2]*f[b[1]*b[2]*c[1]*c[2]]*
     f[b[1]*c[3]])/387420489 - 
  (28849600*f[a[1]^2*a[2]^2]*f[b[1]*b[2]*c[1]*c[2]]*f[b[1]*c[3]])/
   10460353203 + (7101440*f[a[1]*a[3]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[b[1]*c[3]])/387420489 - 
  (35507200*f[a[1]^3*a[3]]*f[b[1]*b[2]*c[1]*c[2]]*f[b[1]*c[3]])/
   3486784401 - (198174560*f[a[3]^2]*f[b[1]*b[2]*c[1]*c[2]]*
     f[b[1]*c[3]])/10460353203 - 
  (454492160*f[a[2]*a[4]]*f[b[1]*b[2]*c[1]*c[2]]*f[b[1]*c[3]])/
   31381059609 - (461593600*f[a[1]*a[5]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[b[1]*c[3]])/31381059609 - 
  (64480*f[b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*f[b[1]*c[3]])/4782969 + 
  (322400*f[a[1]^2*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*f[b[1]*c[3]])/
   129140163 - (1612000*f[a[1]^4*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[b[1]*c[3]])/1162261467 - 
  (1676480*f[a[2]^2*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*f[b[1]*c[3]])/
   1162261467 - (2063360*f[a[1]*a[3]*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[b[1]*c[3]])/1162261467 + 
  (144720256*f[b[3]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*f[b[1]*c[3]])/
   3486784401 - (723601280*f[a[1]^2*b[3]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[b[1]*c[3]])/94143178827 + 
  (9960594560*f[b[5]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*f[b[1]*c[3]])/
   94143178827 - (476082400*f[b[2]*c[2]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[b[1]*c[3]])/1162261467 + 
  (2380412000*f[a[1]^2*b[2]*c[2]]*f[b[1]*b[2]*c[1]*c[2]]*f[b[1]*c[3]])/
   31381059609 - (1240460800*f[b[4]*c[2]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[b[1]*c[3]])/10460353203 - 
  (139077040*f[b[1]*b[2]*c[1]*c[2]]^2*f[b[1]*c[3]])/1162261467 + 
  (1600*f[1]*f[b[1]*c[3]]^2)/59049 - 
  (8000*f[a[1]^2]*f[b[1]*c[3]]^2)/1594323 + 
  (40000*f[a[1]^4]*f[b[1]*c[3]]^2)/14348907 - 
  (1000000*f[a[1]^6]*f[b[1]*c[3]]^2)/387420489 + 
  (41600*f[a[2]^2]*f[b[1]*c[3]]^2)/14348907 - 
  (208000*f[a[1]^2*a[2]^2]*f[b[1]*c[3]]^2)/387420489 + 
  (51200*f[a[1]*a[3]]*f[b[1]*c[3]]^2)/14348907 - 
  (256000*f[a[1]^3*a[3]]*f[b[1]*c[3]]^2)/129140163 - 
  (1428800*f[a[3]^2]*f[b[1]*c[3]]^2)/387420489 - 
  (3276800*f[a[2]*a[4]]*f[b[1]*c[3]]^2)/1162261467 - 
  (3328000*f[a[1]*a[5]]*f[b[1]*c[3]]^2)/1162261467 + 
  (1600*f[b[1]*c[1]]*f[b[1]*c[3]]^2)/59049 - 
  (8000*f[a[1]^2*b[1]*c[1]]*f[b[1]*c[3]]^2)/1594323 + 
  (40000*f[a[1]^4*b[1]*c[1]]*f[b[1]*c[3]]^2)/14348907 + 
  (41600*f[a[2]^2*b[1]*c[1]]*f[b[1]*c[3]]^2)/14348907 + 
  (51200*f[a[1]*a[3]*b[1]*c[1]]*f[b[1]*c[3]]^2)/14348907 + 
  (5242880*f[b[3]*c[1]]*f[b[1]*c[3]]^2)/43046721 - 
  (26214400*f[a[1]^2*b[3]*c[1]]*f[b[1]*c[3]]^2)/1162261467 + 
  (26214400*f[b[5]*c[1]]*f[b[1]*c[3]]^2)/1162261467 + 
  (881600*f[b[2]*c[2]]*f[b[1]*c[3]]^2)/43046721 - 
  (4408000*f[a[1]^2*b[2]*c[2]]*f[b[1]*c[3]]^2)/1162261467 + 
  (45056000*f[b[4]*c[2]]*f[b[1]*c[3]]^2)/1162261467 + 
  (881600*f[b[1]*b[2]*c[1]*c[2]]*f[b[1]*c[3]]^2)/43046721 + 
  (2560*f[1]*f[a[1]]*f[a[1]*b[1]*c[3]])/6561 + 
  (2560*f[a[1]]*f[a[1]^2]*f[a[1]*b[1]*c[3]])/6561 - 
  (12800*f[1]*f[a[1]^3]*f[a[1]*b[1]*c[3]])/59049 + 
  (965120*f[a[1]^2]*f[a[1]^3]*f[a[1]*b[1]*c[3]])/1594323 - 
  (755200*f[a[1]]*f[a[1]^4]*f[a[1]*b[1]*c[3]])/1594323 + 
  (55892480*f[a[1]^3]*f[a[1]^4]*f[a[1]*b[1]*c[3]])/43046721 + 
  (320000*f[1]*f[a[1]^5]*f[a[1]*b[1]*c[3]])/1594323 - 
  (56896000*f[a[1]^2]*f[a[1]^5]*f[a[1]*b[1]*c[3]])/43046721 + 
  (1399820800*f[a[1]^4]*f[a[1]^5]*f[a[1]*b[1]*c[3]])/387420489 + 
  (29120000*f[a[1]]*f[a[1]^6]*f[a[1]*b[1]*c[3]])/43046721 - 
  (583744000*f[a[1]^3]*f[a[1]^6]*f[a[1]*b[1]*c[3]])/129140163 + 
  (43632601600*f[a[1]^5]*f[a[1]^6]*f[a[1]*b[1]*c[3]])/3486784401 - 
  (1310720*f[a[2]]*f[a[1]*a[2]]*f[a[1]*b[1]*c[3]])/4782969 - 
  (56360960*f[a[1]*a[2]]*f[a[1]^2*a[2]]*f[a[1]*b[1]*c[3]])/129140163 + 
  (6553600*f[a[2]]*f[a[1]^3*a[2]]*f[a[1]*b[1]*c[3]])/43046721 - 
  (1060372480*f[a[1]^2*a[2]]*f[a[1]^3*a[2]]*f[a[1]*b[1]*c[3]])/
   1162261467 + (596377600*f[a[1]*a[2]]*f[a[1]^4*a[2]]*
     f[a[1]*b[1]*c[3]])/1162261467 - 
  (76054528000*f[a[1]^3*a[2]]*f[a[1]^4*a[2]]*f[a[1]*b[1]*c[3]])/
   31381059609 - (1111040*f[a[1]]*f[a[2]^2]*f[a[1]*b[1]*c[3]])/
   4782969 + (8842240*f[a[1]^3]*f[a[2]^2]*f[a[1]*b[1]*c[3]])/14348907 - 
  (1187456000*f[a[1]^5]*f[a[2]^2]*f[a[1]*b[1]*c[3]])/1162261467 + 
  (66560*f[1]*f[a[1]*a[2]^2]*f[a[1]*b[1]*c[3]])/1594323 - 
  (15580160*f[a[1]^2]*f[a[1]*a[2]^2]*f[a[1]*b[1]*c[3]])/129140163 + 
  (1492986880*f[a[1]^4]*f[a[1]*a[2]^2]*f[a[1]*b[1]*c[3]])/1162261467 - 
  (35418752000*f[a[1]^6]*f[a[1]*a[2]^2]*f[a[1]*b[1]*c[3]])/
   10460353203 + (306657280*f[a[2]^2]*f[a[1]*a[2]^2]*
     f[a[1]*b[1]*c[3]])/1162261467 + 
  (11944960*f[a[1]]*f[a[1]^2*a[2]^2]*f[a[1]*b[1]*c[3]])/129140163 - 
  (2309120*f[a[1]^3]*f[a[1]^2*a[2]^2]*f[a[1]*b[1]*c[3]])/43046721 + 
  (108998374400*f[a[1]^5]*f[a[1]^2*a[2]^2]*f[a[1]*b[1]*c[3]])/
   31381059609 + (80162109440*f[a[1]*a[2]^2]*f[a[1]^2*a[2]^2]*
     f[a[1]*b[1]*c[3]])/94143178827 + 
  (301465600*f[a[1]*a[2]]*f[a[2]^3]*f[a[1]*b[1]*c[3]])/387420489 - 
  (56515624960*f[a[1]^3*a[2]]*f[a[2]^3]*f[a[1]*b[1]*c[3]])/
   31381059609 - (2560*f[1]*f[a[3]]*f[a[1]*b[1]*c[3]])/59049 - 
  (2560*f[a[1]^2]*f[a[3]]*f[a[1]*b[1]*c[3]])/59049 + 
  (755200*f[a[1]^4]*f[a[3]]*f[a[1]*b[1]*c[3]])/14348907 - 
  (29120000*f[a[1]^6]*f[a[3]]*f[a[1]*b[1]*c[3]])/387420489 - 
  (2206720*f[a[2]^2]*f[a[3]]*f[a[1]*b[1]*c[3]])/4782969 + 
  (30970880*f[a[1]^2*a[2]^2]*f[a[3]]*f[a[1]*b[1]*c[3]])/387420489 - 
  (1310720*f[a[1]^3]*f[a[1]*a[3]]*f[a[1]*b[1]*c[3]])/14348907 + 
  (65536000*f[a[1]^5]*f[a[1]*a[3]]*f[a[1]*b[1]*c[3]])/387420489 + 
  (20971520*f[a[1]*a[2]^2]*f[a[1]*a[3]]*f[a[1]*b[1]*c[3]])/1162261467 + 
  (26214400*f[a[3]]*f[a[1]*a[3]]*f[a[1]*b[1]*c[3]])/43046721 + 
  (58880*f[1]*f[a[1]^2*a[3]]*f[a[1]*b[1]*c[3]])/531441 + 
  (279040*f[a[1]^2]*f[a[1]^2*a[3]]*f[a[1]*b[1]*c[3]])/14348907 - 
  (96673280*f[a[1]^4]*f[a[1]^2*a[3]]*f[a[1]*b[1]*c[3]])/387420489 + 
  (758464000*f[a[1]^6]*f[a[1]^2*a[3]]*f[a[1]*b[1]*c[3]])/1162261467 + 
  (636369920*f[a[2]^2]*f[a[1]^2*a[3]]*f[a[1]*b[1]*c[3]])/1162261467 + 
  (2563251200*f[a[1]^2*a[2]^2]*f[a[1]^2*a[3]]*f[a[1]*b[1]*c[3]])/
   10460353203 + (79953920*f[a[1]*a[3]]*f[a[1]^2*a[3]]*
     f[a[1]*b[1]*c[3]])/129140163 + 
  (2621440*f[a[1]]*f[a[1]^3*a[3]]*f[a[1]*b[1]*c[3]])/14348907 + 
  (22282240*f[a[1]^3]*f[a[1]^3*a[3]]*f[a[1]*b[1]*c[3]])/387420489 - 
  (2936012800*f[a[1]^5]*f[a[1]^3*a[3]]*f[a[1]*b[1]*c[3]])/3486784401 + 
  (980418560*f[a[1]*a[2]^2]*f[a[1]^3*a[3]]*f[a[1]*b[1]*c[3]])/
   1162261467 - (138936320*f[a[3]]*f[a[1]^3*a[3]]*f[a[1]*b[1]*c[3]])/
   387420489 + (10240655360*f[a[1]^2*a[3]]*f[a[1]^3*a[3]]*
     f[a[1]*b[1]*c[3]])/10460353203 + 
  (1310720*f[a[2]]*f[a[2]*a[3]]*f[a[1]*b[1]*c[3]])/4782969 - 
  (331612160*f[a[1]^2*a[2]]*f[a[2]*a[3]]*f[a[1]*b[1]*c[3]])/
   1162261467 + (3021209600*f[a[1]^4*a[2]]*f[a[2]*a[3]]*
     f[a[1]*b[1]*c[3]])/10460353203 + 
  (1779957760*f[a[2]^3]*f[a[2]*a[3]]*f[a[1]*b[1]*c[3]])/1162261467 + 
  (20971520*f[a[1]*a[2]]*f[a[1]*a[2]*a[3]]*f[a[1]*b[1]*c[3]])/
   1162261467 - (4131389440*f[a[1]^3*a[2]]*f[a[1]*a[2]*a[3]]*
     f[a[1]*b[1]*c[3]])/10460353203 - 
  (19524485120*f[a[2]*a[3]]*f[a[1]*a[2]*a[3]]*f[a[1]*b[1]*c[3]])/
   31381059609 - (2040320*f[a[1]]*f[a[3]^2]*f[a[1]*b[1]*c[3]])/
   43046721 + (14133760*f[a[1]^3]*f[a[3]^2]*f[a[1]*b[1]*c[3]])/
   387420489 - (451648000*f[a[1]^5]*f[a[3]^2]*f[a[1]*b[1]*c[3]])/
   10460353203 + (5294689280*f[a[1]*a[2]^2]*f[a[3]^2]*
     f[a[1]*b[1]*c[3]])/10460353203 - 
  (2560*f[a[3]]*f[a[3]^2]*f[a[1]*b[1]*c[3]])/19683 - 
  (522718720*f[a[1]^2*a[3]]*f[a[3]^2]*f[a[1]*b[1]*c[3]])/3486784401 - 
  (5242880*f[a[1]*a[2]]*f[a[4]]*f[a[1]*b[1]*c[3]])/129140163 + 
  (26214400*f[a[1]^3*a[2]]*f[a[4]]*f[a[1]*b[1]*c[3]])/1162261467 + 
  (382730240*f[a[2]*a[3]]*f[a[4]]*f[a[1]*b[1]*c[3]])/1162261467 - 
  (5242880*f[a[2]]*f[a[1]*a[4]]*f[a[1]*b[1]*c[3]])/129140163 + 
  (36700160*f[a[1]^2*a[2]]*f[a[1]*a[4]]*f[a[1]*b[1]*c[3]])/1162261467 - 
  (969932800*f[a[1]^4*a[2]]*f[a[1]*a[4]]*f[a[1]*b[1]*c[3]])/
   31381059609 - (1751121920*f[a[2]^3]*f[a[1]*a[4]]*f[a[1]*b[1]*c[3]])/
   31381059609 - (83886080*f[a[1]*a[2]*a[3]]*f[a[1]*a[4]]*
     f[a[1]*b[1]*c[3]])/10460353203 - 
  (901775360*f[a[4]]*f[a[1]*a[4]]*f[a[1]*b[1]*c[3]])/1162261467 + 
  (36700160*f[a[1]*a[2]]*f[a[1]^2*a[4]]*f[a[1]*b[1]*c[3]])/1162261467 + 
  (4818206720*f[a[1]^3*a[2]]*f[a[1]^2*a[4]]*f[a[1]*b[1]*c[3]])/
   31381059609 - (4692377600*f[a[2]*a[3]]*f[a[1]^2*a[4]]*
     f[a[1]*b[1]*c[3]])/10460353203 - 
  (8451522560*f[a[1]*a[4]]*f[a[1]^2*a[4]]*f[a[1]*b[1]*c[3]])/
   10460353203 + (10485760*f[a[1]]*f[a[2]*a[4]]*f[a[1]*b[1]*c[3]])/
   129140163 - (304087040*f[a[1]^3]*f[a[2]*a[4]]*f[a[1]*b[1]*c[3]])/
   1162261467 + (13893632000*f[a[1]^5]*f[a[2]*a[4]]*f[a[1]*b[1]*c[3]])/
   31381059609 + (10213130240*f[a[1]*a[2]^2]*f[a[2]*a[4]]*
     f[a[1]*b[1]*c[3]])/94143178827 - 
  (262144000*f[a[3]]*f[a[2]*a[4]]*f[a[1]*b[1]*c[3]])/1162261467 + 
  (3596615680*f[a[1]^2*a[3]]*f[a[2]*a[4]]*f[a[1]*b[1]*c[3]])/
   10460353203 + (166400*f[1]*f[a[5]]*f[a[1]*b[1]*c[3]])/4782969 + 
  (166400*f[a[1]^2]*f[a[5]]*f[a[1]*b[1]*c[3]])/4782969 - 
  (49088000*f[a[1]^4]*f[a[5]]*f[a[1]*b[1]*c[3]])/1162261467 + 
  (1892800000*f[a[1]^6]*f[a[5]]*f[a[1]*b[1]*c[3]])/31381059609 + 
  (220595200*f[a[2]^2]*f[a[5]]*f[a[1]*b[1]*c[3]])/1162261467 - 
  (321510400*f[a[1]^2*a[2]^2]*f[a[5]]*f[a[1]*b[1]*c[3]])/10460353203 - 
  (26214400*f[a[1]*a[3]]*f[a[5]]*f[a[1]*b[1]*c[3]])/1162261467 + 
  (301465600*f[a[1]^3*a[3]]*f[a[5]]*f[a[1]*b[1]*c[3]])/10460353203 + 
  (24665600*f[a[3]^2]*f[a[5]]*f[a[1]*b[1]*c[3]])/31381059609 - 
  (14732492800*f[a[2]*a[4]]*f[a[5]]*f[a[1]*b[1]*c[3]])/31381059609 + 
  (85196800*f[a[1]^3]*f[a[1]*a[5]]*f[a[1]*b[1]*c[3]])/1162261467 - 
  (4259840000*f[a[1]^5]*f[a[1]*a[5]]*f[a[1]*b[1]*c[3]])/31381059609 - 
  (1363148800*f[a[1]*a[2]^2]*f[a[1]*a[5]]*f[a[1]*b[1]*c[3]])/
   94143178827 - (26214400*f[a[3]]*f[a[1]*a[5]]*f[a[1]*b[1]*c[3]])/
   1162261467 - (321126400*f[a[1]^2*a[3]]*f[a[1]*a[5]]*
     f[a[1]*b[1]*c[3]])/10460353203 + 
  (94031052800*f[a[5]]*f[a[1]*a[5]]*f[a[1]*b[1]*c[3]])/94143178827 + 
  (9175040*f[a[1]*a[2]]*f[a[6]]*f[a[1]*b[1]*c[3]])/387420489 - 
  (45875200*f[a[1]^3*a[2]]*f[a[6]]*f[a[1]*b[1]*c[3]])/3486784401 - 
  (4098621440*f[a[2]*a[3]]*f[a[6]]*f[a[1]*b[1]*c[3]])/31381059609 + 
  (36700160*f[a[1]*a[4]]*f[a[6]]*f[a[1]*b[1]*c[3]])/10460353203 + 
  (12800*f[a[1]]*f[b[1]*c[1]]*f[a[1]*b[1]*c[3]])/59049 - 
  (64000*f[a[1]^3]*f[b[1]*c[1]]*f[a[1]*b[1]*c[3]])/531441 + 
  (1600000*f[a[1]^5]*f[b[1]*c[1]]*f[a[1]*b[1]*c[3]])/14348907 + 
  (332800*f[a[1]*a[2]^2]*f[b[1]*c[1]]*f[a[1]*b[1]*c[3]])/14348907 - 
  (12800*f[a[3]]*f[b[1]*c[1]]*f[a[1]*b[1]*c[3]])/531441 + 
  (294400*f[a[1]^2*a[3]]*f[b[1]*c[1]]*f[a[1]*b[1]*c[3]])/4782969 + 
  (832000*f[a[5]]*f[b[1]*c[1]]*f[a[1]*b[1]*c[3]])/43046721 + 
  (12800*f[1]*f[a[1]*b[1]*c[1]]*f[a[1]*b[1]*c[3]])/59049 + 
  (12800*f[a[1]^2]*f[a[1]*b[1]*c[1]]*f[a[1]*b[1]*c[3]])/59049 - 
  (3776000*f[a[1]^4]*f[a[1]*b[1]*c[1]]*f[a[1]*b[1]*c[3]])/14348907 + 
  (145600000*f[a[1]^6]*f[a[1]*b[1]*c[1]]*f[a[1]*b[1]*c[3]])/387420489 - 
  (5555200*f[a[2]^2]*f[a[1]*b[1]*c[1]]*f[a[1]*b[1]*c[3]])/43046721 + 
  (59724800*f[a[1]^2*a[2]^2]*f[a[1]*b[1]*c[1]]*f[a[1]*b[1]*c[3]])/
   1162261467 + (13107200*f[a[1]^3*a[3]]*f[a[1]*b[1]*c[1]]*
     f[a[1]*b[1]*c[3]])/129140163 - 
  (10201600*f[a[3]^2]*f[a[1]*b[1]*c[1]]*f[a[1]*b[1]*c[3]])/387420489 + 
  (52428800*f[a[2]*a[4]]*f[a[1]*b[1]*c[1]]*f[a[1]*b[1]*c[3]])/
   1162261467 + (2560*f[b[1]*c[1]]*f[a[1]*b[1]*c[1]]*
     f[a[1]*b[1]*c[3]])/59049 + 
  (12800*f[a[1]]*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[1]*c[3]])/59049 + 
  (4825600*f[a[1]^3]*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[1]*c[3]])/14348907 - 
  (284480000*f[a[1]^5]*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[1]*c[3]])/
   387420489 - (77900800*f[a[1]*a[2]^2]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]*b[1]*c[3]])/1162261467 - 
  (12800*f[a[3]]*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[1]*c[3]])/531441 + 
  (1395200*f[a[1]^2*a[3]]*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[1]*c[3]])/
   129140163 + (832000*f[a[5]]*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[1]*c[3]])/
   43046721 + (2560*f[a[1]*b[1]*c[1]]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]*b[1]*c[3]])/59049 - 
  (64000*f[1]*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[1]*c[3]])/531441 + 
  (4825600*f[a[1]^2]*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[1]*c[3]])/14348907 + 
  (279462400*f[a[1]^4]*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[1]*c[3]])/
   387420489 - (2918720000*f[a[1]^6]*f[a[1]^3*b[1]*c[1]]*
     f[a[1]*b[1]*c[3]])/1162261467 + 
  (44211200*f[a[2]^2]*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[1]*c[3]])/
   129140163 - (11545600*f[a[1]^2*a[2]^2]*f[a[1]^3*b[1]*c[1]]*
     f[a[1]*b[1]*c[3]])/387420489 - 
  (6553600*f[a[1]*a[3]]*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[1]*c[3]])/
   129140163 + (111411200*f[a[1]^3*a[3]]*f[a[1]^3*b[1]*c[1]]*
     f[a[1]*b[1]*c[3]])/3486784401 + 
  (70668800*f[a[3]^2]*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[1]*c[3]])/
   3486784401 - (1520435200*f[a[2]*a[4]]*f[a[1]^3*b[1]*c[1]]*
     f[a[1]*b[1]*c[3]])/10460353203 + 
  (425984000*f[a[1]*a[5]]*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[1]*c[3]])/
   10460353203 - (12800*f[b[1]*c[1]]*f[a[1]^3*b[1]*c[1]]*
     f[a[1]*b[1]*c[3]])/531441 + 
  (965120*f[a[1]^2*b[1]*c[1]]*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[1]*c[3]])/
   14348907 - (3776000*f[a[1]]*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[1]*c[3]])/
   14348907 + (279462400*f[a[1]^3]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]*b[1]*c[3]])/387420489 + 
  (6999104000*f[a[1]^5]*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[1]*c[3]])/
   3486784401 + (7464934400*f[a[1]*a[2]^2]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]*b[1]*c[3]])/10460353203 + 
  (3776000*f[a[3]]*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[1]*c[3]])/129140163 - 
  (483366400*f[a[1]^2*a[3]]*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[1]*c[3]])/
   3486784401 - (245440000*f[a[5]]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]*b[1]*c[3]])/10460353203 - 
  (755200*f[a[1]*b[1]*c[1]]*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[1]*c[3]])/
   14348907 + (55892480*f[a[1]^3*b[1]*c[1]]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]*b[1]*c[3]])/387420489 - 
  (6553600*f[a[1]*a[2]]*f[a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[3]])/43046721 + 
  (32768000*f[a[1]^3*a[2]]*f[a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[3]])/
   387420489 + (6553600*f[a[2]*a[3]]*f[a[2]*b[1]*c[1]]*
     f[a[1]*b[1]*c[3]])/43046721 - 
  (26214400*f[a[1]*a[4]]*f[a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[3]])/
   1162261467 - (6553600*f[a[2]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[1]*b[1]*c[3]])/43046721 - 
  (281804800*f[a[1]^2*a[2]]*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[3]])/
   1162261467 + (2981888000*f[a[1]^4*a[2]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[1]*b[1]*c[3]])/10460353203 + 
  (1507328000*f[a[2]^3]*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[3]])/
   3486784401 + (104857600*f[a[1]*a[2]*a[3]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[1]*b[1]*c[3]])/10460353203 - 
  (26214400*f[a[4]]*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[3]])/
   1162261467 + (183500800*f[a[1]^2*a[4]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[1]*b[1]*c[3]])/10460353203 + 
  (45875200*f[a[6]]*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[3]])/
   3486784401 - (1310720*f[a[2]*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[1]*b[1]*c[3]])/43046721 - 
  (281804800*f[a[1]*a[2]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[3]])/
   1162261467 - (5301862400*f[a[1]^3*a[2]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*b[1]*c[3]])/10460353203 - 
  (1658060800*f[a[2]*a[3]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[3]])/
   10460353203 + (183500800*f[a[1]*a[4]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*b[1]*c[3]])/10460353203 - 
  (56360960*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*b[1]*c[3]])/1162261467 - 
  (5555200*f[a[1]]*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[1]*c[3]])/43046721 + 
  (44211200*f[a[1]^3]*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[1]*c[3]])/
   129140163 - (5937280000*f[a[1]^5]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]*b[1]*c[3]])/10460353203 + 
  (1533286400*f[a[1]*a[2]^2]*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[1]*c[3]])/
   10460353203 - (11033600*f[a[3]]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]*b[1]*c[3]])/43046721 + 
  (3181849600*f[a[1]^2*a[3]]*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[1]*c[3]])/
   10460353203 + (1102976000*f[a[5]]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]*b[1]*c[3]])/10460353203 - 
  (1111040*f[a[1]*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[1]*c[3]])/
   43046721 + (8842240*f[a[1]^3*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]*b[1]*c[3]])/129140163 - 
  (12800*f[1]*f[a[3]*b[1]*c[1]]*f[a[1]*b[1]*c[3]])/531441 - 
  (12800*f[a[1]^2]*f[a[3]*b[1]*c[1]]*f[a[1]*b[1]*c[3]])/531441 + 
  (3776000*f[a[1]^4]*f[a[3]*b[1]*c[1]]*f[a[1]*b[1]*c[3]])/129140163 - 
  (145600000*f[a[1]^6]*f[a[3]*b[1]*c[1]]*f[a[1]*b[1]*c[3]])/
   3486784401 - (11033600*f[a[2]^2]*f[a[3]*b[1]*c[1]]*
     f[a[1]*b[1]*c[3]])/43046721 + 
  (154854400*f[a[1]^2*a[2]^2]*f[a[3]*b[1]*c[1]]*f[a[1]*b[1]*c[3]])/
   3486784401 + (131072000*f[a[1]*a[3]]*f[a[3]*b[1]*c[1]]*
     f[a[1]*b[1]*c[3]])/387420489 - 
  (694681600*f[a[1]^3*a[3]]*f[a[3]*b[1]*c[1]]*f[a[1]*b[1]*c[3]])/
   3486784401 - (12800*f[a[3]^2]*f[a[3]*b[1]*c[1]]*f[a[1]*b[1]*c[3]])/
   177147 - (1310720000*f[a[2]*a[4]]*f[a[3]*b[1]*c[1]]*
     f[a[1]*b[1]*c[3]])/10460353203 - 
  (131072000*f[a[1]*a[5]]*f[a[3]*b[1]*c[1]]*f[a[1]*b[1]*c[3]])/
   10460353203 - (2560*f[b[1]*c[1]]*f[a[3]*b[1]*c[1]]*
     f[a[1]*b[1]*c[3]])/531441 - 
  (2560*f[a[1]^2*b[1]*c[1]]*f[a[3]*b[1]*c[1]]*f[a[1]*b[1]*c[3]])/
   531441 + (755200*f[a[1]^4*b[1]*c[1]]*f[a[3]*b[1]*c[1]]*
     f[a[1]*b[1]*c[3]])/129140163 - 
  (2206720*f[a[2]^2*b[1]*c[1]]*f[a[3]*b[1]*c[1]]*f[a[1]*b[1]*c[3]])/
   43046721 - (6553600*f[a[1]^3]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]*b[1]*c[3]])/129140163 + 
  (327680000*f[a[1]^5]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*b[1]*c[3]])/
   3486784401 + (104857600*f[a[1]*a[2]^2]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]*b[1]*c[3]])/10460353203 + 
  (131072000*f[a[3]]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*b[1]*c[3]])/
   387420489 + (399769600*f[a[1]^2*a[3]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]*b[1]*c[3]])/1162261467 - 
  (131072000*f[a[5]]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*b[1]*c[3]])/
   10460353203 - (1310720*f[a[1]^3*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]*b[1]*c[3]])/129140163 + 
  (26214400*f[a[3]*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]*b[1]*c[3]])/387420489 - 
  (26214400*f[a[1]*a[2]]*f[a[4]*b[1]*c[1]]*f[a[1]*b[1]*c[3]])/
   1162261467 + (131072000*f[a[1]^3*a[2]]*f[a[4]*b[1]*c[1]]*
     f[a[1]*b[1]*c[3]])/10460353203 + 
  (1913651200*f[a[2]*a[3]]*f[a[4]*b[1]*c[1]]*f[a[1]*b[1]*c[3]])/
   10460353203 - (4508876800*f[a[1]*a[4]]*f[a[4]*b[1]*c[1]]*
     f[a[1]*b[1]*c[3]])/10460353203 - 
  (5242880*f[a[1]*a[2]*b[1]*c[1]]*f[a[4]*b[1]*c[1]]*f[a[1]*b[1]*c[3]])/
   1162261467 - (311296*f[a[2]]*f[b[2]*c[1]]*f[a[1]*b[1]*c[3]])/
   1594323 + (1556480*f[a[1]^2*a[2]]*f[b[2]*c[1]]*f[a[1]*b[1]*c[3]])/
   43046721 - (7782400*f[a[1]^4*a[2]]*f[b[2]*c[1]]*f[a[1]*b[1]*c[3]])/
   387420489 - (8093696*f[a[2]^3]*f[b[2]*c[1]]*f[a[1]*b[1]*c[3]])/
   129140163 - (9961472*f[a[1]*a[2]*a[3]]*f[b[2]*c[1]]*
     f[a[1]*b[1]*c[3]])/387420489 + 
  (1245184*f[a[4]]*f[b[2]*c[1]]*f[a[1]*b[1]*c[3]])/14348907 - 
  (6225920*f[a[1]^2*a[4]]*f[b[2]*c[1]]*f[a[1]*b[1]*c[3]])/387420489 - 
  (7782400*f[a[6]]*f[b[2]*c[1]]*f[a[1]*b[1]*c[3]])/129140163 - 
  (4210688*f[a[2]*b[1]*c[1]]*f[b[2]*c[1]]*f[a[1]*b[1]*c[3]])/43046721 + 
  (21053440*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[2]*c[1]]*f[a[1]*b[1]*c[3]])/
   1162261467 + (16842752*f[a[4]*b[1]*c[1]]*f[b[2]*c[1]]*
     f[a[1]*b[1]*c[3]])/387420489 - 
  (20971520*f[b[2]*c[1]]*f[a[1]*b[2]*c[1]]*f[a[1]*b[1]*c[3]])/
   129140163 + (11517952*f[a[2]]*f[a[1]^2*b[2]*c[1]]*
     f[a[1]*b[1]*c[3]])/43046721 + 
  (33931264*f[a[1]^2*a[2]]*f[a[1]^2*b[2]*c[1]]*f[a[1]*b[1]*c[3]])/
   387420489 - (1305886720*f[a[1]^4*a[2]]*f[a[1]^2*b[2]*c[1]]*
     f[a[1]*b[1]*c[3]])/10460353203 - 
  (1651736576*f[a[2]^3]*f[a[1]^2*b[2]*c[1]]*f[a[1]*b[1]*c[3]])/
   10460353203 + (69730304*f[a[1]*a[2]*a[3]]*f[a[1]^2*b[2]*c[1]]*
     f[a[1]*b[1]*c[3]])/3486784401 - 
  (46071808*f[a[4]]*f[a[1]^2*b[2]*c[1]]*f[a[1]*b[1]*c[3]])/387420489 - 
  (135725056*f[a[1]^2*a[4]]*f[a[1]^2*b[2]*c[1]]*f[a[1]*b[1]*c[3]])/
   3486784401 + (287948800*f[a[6]]*f[a[1]^2*b[2]*c[1]]*
     f[a[1]*b[1]*c[3]])/3486784401 + 
  (155795456*f[a[2]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*f[a[1]*b[1]*c[3]])/
   1162261467 + (458964992*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*
     f[a[1]*b[1]*c[3]])/10460353203 - 
  (623181824*f[a[4]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*f[a[1]*b[1]*c[3]])/
   10460353203 - (20971520*f[a[1]*b[2]*c[1]]*f[a[1]^2*b[2]*c[1]]*
     f[a[1]*b[1]*c[3]])/129140163 + 
  (159383552*f[a[1]*a[2]]*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[1]*c[3]])/
   387420489 + (2709520384*f[a[1]^3*a[2]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*b[1]*c[3]])/10460353203 - 
  (159383552*f[a[2]*a[3]]*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[1]*c[3]])/
   3486784401 - (637534208*f[a[1]*a[4]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*b[1]*c[3]])/3486784401 + 
  (2155872256*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*b[1]*c[3]])/10460353203 + 
  (104857600*f[b[2]*c[1]]*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[1]*c[3]])/
   1162261467 - (7906263040*f[a[1]^2*b[2]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*b[1]*c[3]])/31381059609 + 
  (311296*f[1]*f[a[2]*b[2]*c[1]]*f[a[1]*b[1]*c[3]])/1594323 - 
  (11517952*f[a[1]^2]*f[a[2]*b[2]*c[1]]*f[a[1]*b[1]*c[3]])/43046721 + 
  (35799040*f[a[1]^4]*f[a[2]*b[2]*c[1]]*f[a[1]*b[1]*c[3]])/129140163 - 
  (3930112000*f[a[1]^6]*f[a[2]*b[2]*c[1]]*f[a[1]*b[1]*c[3]])/
   10460353203 + (167477248*f[a[2]^2]*f[a[2]*b[2]*c[1]]*
     f[a[1]*b[1]*c[3]])/387420489 - 
  (365461504*f[a[1]^2*a[2]^2]*f[a[2]*b[2]*c[1]]*f[a[1]*b[1]*c[3]])/
   3486784401 - (19922944*f[a[1]*a[3]]*f[a[2]*b[2]*c[1]]*
     f[a[1]*b[1]*c[3]])/129140163 - 
  (19922944*f[a[1]^3*a[3]]*f[a[2]*b[2]*c[1]]*f[a[1]*b[1]*c[3]])/
   3486784401 + (170278912*f[a[3]^2]*f[a[2]*b[2]*c[1]]*
     f[a[1]*b[1]*c[3]])/10460353203 - 
  (1275068416*f[a[2]*a[4]]*f[a[2]*b[2]*c[1]]*f[a[1]*b[1]*c[3]])/
   10460353203 + (498073600*f[a[1]*a[5]]*f[a[2]*b[2]*c[1]]*
     f[a[1]*b[1]*c[3]])/10460353203 + 
  (4210688*f[b[1]*c[1]]*f[a[2]*b[2]*c[1]]*f[a[1]*b[1]*c[3]])/43046721 - 
  (155795456*f[a[1]^2*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*f[a[1]*b[1]*c[3]])/
   1162261467 + (484229120*f[a[1]^4*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*
     f[a[1]*b[1]*c[3]])/3486784401 + 
  (2265350144*f[a[2]^2*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*f[a[1]*b[1]*c[3]])/
   10460353203 - (269484032*f[a[1]*a[3]*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*
     f[a[1]*b[1]*c[3]])/3486784401 - 
  (159383552*f[a[1]^3]*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]*b[1]*c[3]])/
   387420489 + (7969177600*f[a[1]^5]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]*b[1]*c[3]])/10460353203 + 
  (2550136832*f[a[1]*a[2]^2]*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]*b[1]*c[3]])/
   31381059609 - (79691776*f[a[3]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]*b[1]*c[3]])/387420489 - 
  (557842432*f[a[1]^2*a[3]]*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]*b[1]*c[3]])/
   3486784401 + (2789212160*f[a[5]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]*b[1]*c[3]])/31381059609 - 
  (2155872256*f[a[1]^3*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]*b[1]*c[3]])/10460353203 - 
  (1077936128*f[a[3]*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]*b[1]*c[3]])/10460353203 + 
  (10737418240*f[a[2]*b[2]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]*b[1]*c[3]])/94143178827 + 
  (79691776*f[a[1]*a[2]]*f[a[3]*b[2]*c[1]]*f[a[1]*b[1]*c[3]])/
   387420489 - (398458880*f[a[1]^3*a[2]]*f[a[3]*b[2]*c[1]]*
     f[a[1]*b[1]*c[3]])/3486784401 - 
  (3426746368*f[a[2]*a[3]]*f[a[3]*b[2]*c[1]]*f[a[1]*b[1]*c[3]])/
   10460353203 + (318767104*f[a[1]*a[4]]*f[a[3]*b[2]*c[1]]*
     f[a[1]*b[1]*c[3]])/1162261467 + 
  (1077936128*f[a[1]*a[2]*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[a[1]*b[1]*c[3]])/10460353203 + 
  (20971520*f[b[2]*c[1]]*f[a[3]*b[2]*c[1]]*f[a[1]*b[1]*c[3]])/
   1162261467 + (20971520*f[a[1]^2*b[2]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[a[1]*b[1]*c[3]])/1162261467 + 
  (1636352*f[a[1]]*f[b[3]*c[1]]*f[a[1]*b[1]*c[3]])/4782969 - 
  (8181760*f[a[1]^3]*f[b[3]*c[1]]*f[a[1]*b[1]*c[3]])/43046721 + 
  (204544000*f[a[1]^5]*f[b[3]*c[1]]*f[a[1]*b[1]*c[3]])/1162261467 + 
  (42545152*f[a[1]*a[2]^2]*f[b[3]*c[1]]*f[a[1]*b[1]*c[3]])/1162261467 - 
  (1636352*f[a[3]]*f[b[3]*c[1]]*f[a[1]*b[1]*c[3]])/43046721 + 
  (37636096*f[a[1]^2*a[3]]*f[b[3]*c[1]]*f[a[1]*b[1]*c[3]])/387420489 + 
  (106362880*f[a[5]]*f[b[3]*c[1]]*f[a[1]*b[1]*c[3]])/3486784401 - 
  (2050048*f[a[1]*b[1]*c[1]]*f[b[3]*c[1]]*f[a[1]*b[1]*c[3]])/43046721 + 
  (10250240*f[a[1]^3*b[1]*c[1]]*f[b[3]*c[1]]*f[a[1]*b[1]*c[3]])/
   387420489 + (2050048*f[a[3]*b[1]*c[1]]*f[b[3]*c[1]]*
     f[a[1]*b[1]*c[3]])/387420489 + 
  (482344960*f[a[2]*b[2]*c[1]]*f[b[3]*c[1]]*f[a[1]*b[1]*c[3]])/
   3486784401 + (1636352*f[1]*f[a[1]*b[3]*c[1]]*f[a[1]*b[1]*c[3]])/
   4782969 + (1636352*f[a[1]^2]*f[a[1]*b[3]*c[1]]*f[a[1]*b[1]*c[3]])/
   4782969 - (482723840*f[a[1]^4]*f[a[1]*b[3]*c[1]]*f[a[1]*b[1]*c[3]])/
   1162261467 + (18613504000*f[a[1]^6]*f[a[1]*b[3]*c[1]]*
     f[a[1]*b[1]*c[3]])/31381059609 - 
  (710176768*f[a[2]^2]*f[a[1]*b[3]*c[1]]*f[a[1]*b[1]*c[3]])/
   3486784401 + (7635218432*f[a[1]^2*a[2]^2]*f[a[1]*b[3]*c[1]]*
     f[a[1]*b[1]*c[3]])/94143178827 + 
  (1675624448*f[a[1]^3*a[3]]*f[a[1]*b[3]*c[1]]*f[a[1]*b[1]*c[3]])/
   10460353203 - (1304172544*f[a[3]^2]*f[a[1]*b[3]*c[1]]*
     f[a[1]*b[1]*c[3]])/31381059609 + 
  (6702497792*f[a[2]*a[4]]*f[a[1]*b[3]*c[1]]*f[a[1]*b[1]*c[3]])/
   94143178827 - (2050048*f[b[1]*c[1]]*f[a[1]*b[3]*c[1]]*
     f[a[1]*b[1]*c[3]])/43046721 - 
  (2050048*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[3]*c[1]]*f[a[1]*b[1]*c[3]])/
   43046721 + (604764160*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[3]*c[1]]*
     f[a[1]*b[1]*c[3]])/10460353203 + 
  (889720832*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[3]*c[1]]*f[a[1]*b[1]*c[3]])/
   31381059609 - (167772160*f[b[3]*c[1]]*f[a[1]*b[3]*c[1]]*
     f[a[1]*b[1]*c[3]])/387420489 + 
  (1636352*f[a[1]]*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[1]*c[3]])/4782969 + 
  (616904704*f[a[1]^3]*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[1]*c[3]])/
   1162261467 - (36367923200*f[a[1]^5]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]*b[1]*c[3]])/31381059609 - 
  (9958838272*f[a[1]*a[2]^2]*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[1]*c[3]])/
   94143178827 - (1636352*f[a[3]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]*b[1]*c[3]])/43046721 + 
  (178362368*f[a[1]^2*a[3]]*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[1]*c[3]])/
   10460353203 + (106362880*f[a[5]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]*b[1]*c[3]])/3486784401 - 
  (2050048*f[a[1]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[1]*c[3]])/
   43046721 - (772868096*f[a[1]^3*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]*b[1]*c[3]])/10460353203 + 
  (2050048*f[a[3]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[1]*c[3]])/
   387420489 - (17846763520*f[a[2]*b[2]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]*b[1]*c[3]])/94143178827 - 
  (167772160*f[a[1]*b[3]*c[1]]*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[1]*c[3]])/
   387420489 - (837812224*f[a[1]*a[2]]*f[a[2]*b[3]*c[1]]*
     f[a[1]*b[1]*c[3]])/3486784401 + 
  (4189061120*f[a[1]^3*a[2]]*f[a[2]*b[3]*c[1]]*f[a[1]*b[1]*c[3]])/
   31381059609 + (837812224*f[a[2]*a[3]]*f[a[2]*b[3]*c[1]]*
     f[a[1]*b[1]*c[3]])/3486784401 - 
  (3351248896*f[a[1]*a[4]]*f[a[2]*b[3]*c[1]]*f[a[1]*b[1]*c[3]])/
   94143178827 + (1049624576*f[a[1]*a[2]*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[a[1]*b[1]*c[3]])/31381059609 - 
  (482344960*f[b[2]*c[1]]*f[a[2]*b[3]*c[1]]*f[a[1]*b[1]*c[3]])/
   3486784401 + (17846763520*f[a[1]^2*b[2]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[a[1]*b[1]*c[3]])/94143178827 - 
  (13598720*f[a[2]]*f[b[4]*c[1]]*f[a[1]*b[1]*c[3]])/43046721 + 
  (67993600*f[a[1]^2*a[2]]*f[b[4]*c[1]]*f[a[1]*b[1]*c[3]])/1162261467 - 
  (339968000*f[a[1]^4*a[2]]*f[b[4]*c[1]]*f[a[1]*b[1]*c[3]])/
   10460353203 - (353566720*f[a[2]^3]*f[b[4]*c[1]]*f[a[1]*b[1]*c[3]])/
   3486784401 - (435159040*f[a[1]*a[2]*a[3]]*f[b[4]*c[1]]*
     f[a[1]*b[1]*c[3]])/10460353203 + 
  (54394880*f[a[4]]*f[b[4]*c[1]]*f[a[1]*b[1]*c[3]])/387420489 - 
  (271974400*f[a[1]^2*a[4]]*f[b[4]*c[1]]*f[a[1]*b[1]*c[3]])/
   10460353203 - (339968000*f[a[6]]*f[b[4]*c[1]]*f[a[1]*b[1]*c[3]])/
   3486784401 + (1146880*f[a[2]*b[1]*c[1]]*f[b[4]*c[1]]*
     f[a[1]*b[1]*c[3]])/129140163 - 
  (5734400*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[4]*c[1]]*f[a[1]*b[1]*c[3]])/
   3486784401 - (4587520*f[a[4]*b[1]*c[1]]*f[b[4]*c[1]]*
     f[a[1]*b[1]*c[3]])/1162261467 - 
  (260046848*f[a[1]*b[2]*c[1]]*f[b[4]*c[1]]*f[a[1]*b[1]*c[3]])/
   1162261467 + (1300234240*f[a[1]^3*b[2]*c[1]]*f[b[4]*c[1]]*
     f[a[1]*b[1]*c[3]])/10460353203 + 
  (260046848*f[a[3]*b[2]*c[1]]*f[b[4]*c[1]]*f[a[1]*b[1]*c[3]])/
   10460353203 + (9151971328*f[a[2]*b[3]*c[1]]*f[b[4]*c[1]]*
     f[a[1]*b[1]*c[3]])/31381059609 - 
  (260046848*f[b[2]*c[1]]*f[a[1]*b[4]*c[1]]*f[a[1]*b[1]*c[3]])/
   1162261467 - (260046848*f[a[1]^2*b[2]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[a[1]*b[1]*c[3]])/1162261467 + 
  (1090519040*f[b[4]*c[1]]*f[a[1]*b[4]*c[1]]*f[a[1]*b[1]*c[3]])/
   3486784401 + (21391360*f[a[1]]*f[b[5]*c[1]]*f[a[1]*b[1]*c[3]])/
   129140163 - (106956800*f[a[1]^3]*f[b[5]*c[1]]*f[a[1]*b[1]*c[3]])/
   1162261467 + (2673920000*f[a[1]^5]*f[b[5]*c[1]]*f[a[1]*b[1]*c[3]])/
   31381059609 + (556175360*f[a[1]*a[2]^2]*f[b[5]*c[1]]*
     f[a[1]*b[1]*c[3]])/31381059609 - 
  (21391360*f[a[3]]*f[b[5]*c[1]]*f[a[1]*b[1]*c[3]])/1162261467 + 
  (492001280*f[a[1]^2*a[3]]*f[b[5]*c[1]]*f[a[1]*b[1]*c[3]])/
   10460353203 + (1390438400*f[a[5]]*f[b[5]*c[1]]*f[a[1]*b[1]*c[3]])/
   94143178827 + (108636160*f[a[1]*b[1]*c[1]]*f[b[5]*c[1]]*
     f[a[1]*b[1]*c[3]])/1162261467 - 
  (543180800*f[a[1]^3*b[1]*c[1]]*f[b[5]*c[1]]*f[a[1]*b[1]*c[3]])/
   10460353203 - (108636160*f[a[3]*b[1]*c[1]]*f[b[5]*c[1]]*
     f[a[1]*b[1]*c[3]])/10460353203 + 
  (7822376960*f[a[2]*b[2]*c[1]]*f[b[5]*c[1]]*f[a[1]*b[1]*c[3]])/
   94143178827 + (4697620480*f[a[1]*b[3]*c[1]]*f[b[5]*c[1]]*
     f[a[1]*b[1]*c[3]])/31381059609 + 
  (204800*f[a[2]]*f[b[1]*c[2]]*f[a[1]*b[1]*c[3]])/4782969 - 
  (1024000*f[a[1]^2*a[2]]*f[b[1]*c[2]]*f[a[1]*b[1]*c[3]])/129140163 + 
  (5120000*f[a[1]^4*a[2]]*f[b[1]*c[2]]*f[a[1]*b[1]*c[3]])/1162261467 + 
  (5324800*f[a[2]^3]*f[b[1]*c[2]]*f[a[1]*b[1]*c[3]])/387420489 + 
  (6553600*f[a[1]*a[2]*a[3]]*f[b[1]*c[2]]*f[a[1]*b[1]*c[3]])/
   1162261467 - (819200*f[a[4]]*f[b[1]*c[2]]*f[a[1]*b[1]*c[3]])/
   43046721 + (4096000*f[a[1]^2*a[4]]*f[b[1]*c[2]]*f[a[1]*b[1]*c[3]])/
   1162261467 + (5120000*f[a[6]]*f[b[1]*c[2]]*f[a[1]*b[1]*c[3]])/
   387420489 + (204800*f[a[2]*b[1]*c[1]]*f[b[1]*c[2]]*
     f[a[1]*b[1]*c[3]])/4782969 - 
  (1024000*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[1]*c[2]]*f[a[1]*b[1]*c[3]])/
   129140163 - (819200*f[a[4]*b[1]*c[1]]*f[b[1]*c[2]]*
     f[a[1]*b[1]*c[3]])/43046721 - 
  (6553600*f[a[1]*b[2]*c[1]]*f[b[1]*c[2]]*f[a[1]*b[1]*c[3]])/43046721 + 
  (32768000*f[a[1]^3*b[2]*c[1]]*f[b[1]*c[2]]*f[a[1]*b[1]*c[3]])/
   387420489 + (6553600*f[a[3]*b[2]*c[1]]*f[b[1]*c[2]]*
     f[a[1]*b[1]*c[3]])/387420489 - 
  (241172480*f[a[2]*b[3]*c[1]]*f[b[1]*c[2]]*f[a[1]*b[1]*c[3]])/
   3486784401 - (144179200*f[a[1]*b[4]*c[1]]*f[b[1]*c[2]]*
     f[a[1]*b[1]*c[3]])/1162261467 - 
  (6553600*f[b[2]*c[1]]*f[a[1]*b[1]*c[2]]*f[a[1]*b[1]*c[3]])/43046721 - 
  (6553600*f[a[1]^2*b[2]*c[1]]*f[a[1]*b[1]*c[2]]*f[a[1]*b[1]*c[3]])/
   43046721 - (144179200*f[b[4]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[a[1]*b[1]*c[3]])/1162261467 - 
  (7577600*f[a[2]]*f[a[1]^2*b[1]*c[2]]*f[a[1]*b[1]*c[3]])/129140163 - 
  (22323200*f[a[1]^2*a[2]]*f[a[1]^2*b[1]*c[2]]*f[a[1]*b[1]*c[3]])/
   1162261467 + (859136000*f[a[1]^4*a[2]]*f[a[1]^2*b[1]*c[2]]*
     f[a[1]*b[1]*c[3]])/31381059609 + 
  (1086668800*f[a[2]^3]*f[a[1]^2*b[1]*c[2]]*f[a[1]*b[1]*c[3]])/
   31381059609 - (45875200*f[a[1]*a[2]*a[3]]*f[a[1]^2*b[1]*c[2]]*
     f[a[1]*b[1]*c[3]])/10460353203 + 
  (30310400*f[a[4]]*f[a[1]^2*b[1]*c[2]]*f[a[1]*b[1]*c[3]])/1162261467 + 
  (89292800*f[a[1]^2*a[4]]*f[a[1]^2*b[1]*c[2]]*f[a[1]*b[1]*c[3]])/
   10460353203 - (189440000*f[a[6]]*f[a[1]^2*b[1]*c[2]]*
     f[a[1]*b[1]*c[3]])/10460353203 - 
  (7577600*f[a[2]*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]]*f[a[1]*b[1]*c[3]])/
   129140163 - (22323200*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]]*
     f[a[1]*b[1]*c[3]])/1162261467 + 
  (30310400*f[a[4]*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]]*f[a[1]*b[1]*c[3]])/
   1162261467 - (6553600*f[a[1]*b[2]*c[1]]*f[a[1]^2*b[1]*c[2]]*
     f[a[1]*b[1]*c[3]])/43046721 - 
  (2470707200*f[a[1]^3*b[2]*c[1]]*f[a[1]^2*b[1]*c[2]]*
     f[a[1]*b[1]*c[3]])/10460353203 + 
  (6553600*f[a[3]*b[2]*c[1]]*f[a[1]^2*b[1]*c[2]]*f[a[1]*b[1]*c[3]])/
   387420489 + (8923381760*f[a[2]*b[3]*c[1]]*f[a[1]^2*b[1]*c[2]]*
     f[a[1]*b[1]*c[3]])/94143178827 - 
  (144179200*f[a[1]*b[4]*c[1]]*f[a[1]^2*b[1]*c[2]]*f[a[1]*b[1]*c[3]])/
   1162261467 - (104857600*f[a[1]*a[2]]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]*b[1]*c[3]])/1162261467 - 
  (1782579200*f[a[1]^3*a[2]]*f[a[1]^3*b[1]*c[2]]*f[a[1]*b[1]*c[3]])/
   31381059609 + (104857600*f[a[2]*a[3]]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]*b[1]*c[3]])/10460353203 + 
  (419430400*f[a[1]*a[4]]*f[a[1]^3*b[1]*c[2]]*f[a[1]*b[1]*c[3]])/
   10460353203 - (104857600*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]*b[1]*c[3]])/1162261467 + 
  (32768000*f[b[2]*c[1]]*f[a[1]^3*b[1]*c[2]]*f[a[1]*b[1]*c[3]])/
   387420489 - (2470707200*f[a[1]^2*b[2]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]*b[1]*c[3]])/10460353203 + 
  (720896000*f[b[4]*c[1]]*f[a[1]^3*b[1]*c[2]]*f[a[1]*b[1]*c[3]])/
   10460353203 - (204800*f[1]*f[a[2]*b[1]*c[2]]*f[a[1]*b[1]*c[3]])/
   4782969 + (7577600*f[a[1]^2]*f[a[2]*b[1]*c[2]]*f[a[1]*b[1]*c[3]])/
   129140163 - (23552000*f[a[1]^4]*f[a[2]*b[1]*c[2]]*
     f[a[1]*b[1]*c[3]])/387420489 + 
  (2585600000*f[a[1]^6]*f[a[2]*b[1]*c[2]]*f[a[1]*b[1]*c[3]])/
   31381059609 - (110182400*f[a[2]^2]*f[a[2]*b[1]*c[2]]*
     f[a[1]*b[1]*c[3]])/1162261467 + 
  (240435200*f[a[1]^2*a[2]^2]*f[a[2]*b[1]*c[2]]*f[a[1]*b[1]*c[3]])/
   10460353203 + (13107200*f[a[1]*a[3]]*f[a[2]*b[1]*c[2]]*
     f[a[1]*b[1]*c[3]])/387420489 + 
  (13107200*f[a[1]^3*a[3]]*f[a[2]*b[1]*c[2]]*f[a[1]*b[1]*c[3]])/
   10460353203 - (112025600*f[a[3]^2]*f[a[2]*b[1]*c[2]]*
     f[a[1]*b[1]*c[3]])/31381059609 + 
  (838860800*f[a[2]*a[4]]*f[a[2]*b[1]*c[2]]*f[a[1]*b[1]*c[3]])/
   31381059609 - (327680000*f[a[1]*a[5]]*f[a[2]*b[1]*c[2]]*
     f[a[1]*b[1]*c[3]])/31381059609 - 
  (204800*f[b[1]*c[1]]*f[a[2]*b[1]*c[2]]*f[a[1]*b[1]*c[3]])/4782969 + 
  (7577600*f[a[1]^2*b[1]*c[1]]*f[a[2]*b[1]*c[2]]*f[a[1]*b[1]*c[3]])/
   129140163 - (23552000*f[a[1]^4*b[1]*c[1]]*f[a[2]*b[1]*c[2]]*
     f[a[1]*b[1]*c[3]])/387420489 - 
  (110182400*f[a[2]^2*b[1]*c[1]]*f[a[2]*b[1]*c[2]]*f[a[1]*b[1]*c[3]])/
   1162261467 + (13107200*f[a[1]*a[3]*b[1]*c[1]]*f[a[2]*b[1]*c[2]]*
     f[a[1]*b[1]*c[3]])/387420489 + 
  (3355443200*f[a[1]*a[2]*b[2]*c[1]]*f[a[2]*b[1]*c[2]]*
     f[a[1]*b[1]*c[3]])/31381059609 + 
  (241172480*f[b[3]*c[1]]*f[a[2]*b[1]*c[2]]*f[a[1]*b[1]*c[3]])/
   3486784401 - (8923381760*f[a[1]^2*b[3]*c[1]]*f[a[2]*b[1]*c[2]]*
     f[a[1]*b[1]*c[3]])/94143178827 + 
  (1835008000*f[b[5]*c[1]]*f[a[2]*b[1]*c[2]]*f[a[1]*b[1]*c[3]])/
   94143178827 + (104857600*f[a[1]^3]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[1]*b[1]*c[3]])/1162261467 - 
  (5242880000*f[a[1]^5]*f[a[1]*a[2]*b[1]*c[2]]*f[a[1]*b[1]*c[3]])/
   31381059609 - (1677721600*f[a[1]*a[2]^2]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[1]*b[1]*c[3]])/94143178827 + 
  (52428800*f[a[3]]*f[a[1]*a[2]*b[1]*c[2]]*f[a[1]*b[1]*c[3]])/
   1162261467 + (367001600*f[a[1]^2*a[3]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[1]*b[1]*c[3]])/10460353203 - 
  (1835008000*f[a[5]]*f[a[1]*a[2]*b[1]*c[2]]*f[a[1]*b[1]*c[3]])/
   94143178827 + (104857600*f[a[1]^3*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[1]*b[1]*c[3]])/1162261467 + 
  (52428800*f[a[3]*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[1]*b[1]*c[3]])/1162261467 + 
  (3355443200*f[a[2]*b[2]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[1]*b[1]*c[3]])/31381059609 - 
  (52428800*f[a[1]*a[2]]*f[a[3]*b[1]*c[2]]*f[a[1]*b[1]*c[3]])/
   1162261467 + (262144000*f[a[1]^3*a[2]]*f[a[3]*b[1]*c[2]]*
     f[a[1]*b[1]*c[3]])/10460353203 + 
  (2254438400*f[a[2]*a[3]]*f[a[3]*b[1]*c[2]]*f[a[1]*b[1]*c[3]])/
   31381059609 - (209715200*f[a[1]*a[4]]*f[a[3]*b[1]*c[2]]*
     f[a[1]*b[1]*c[3]])/3486784401 - 
  (52428800*f[a[1]*a[2]*b[1]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[a[1]*b[1]*c[3]])/1162261467 + 
  (6553600*f[b[2]*c[1]]*f[a[3]*b[1]*c[2]]*f[a[1]*b[1]*c[3]])/
   387420489 + (6553600*f[a[1]^2*b[2]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[a[1]*b[1]*c[3]])/387420489 + 
  (144179200*f[b[4]*c[1]]*f[a[3]*b[1]*c[2]]*f[a[1]*b[1]*c[3]])/
   10460353203 + (340480*f[a[1]]*f[b[2]*c[2]]*f[a[1]*b[1]*c[3]])/
   1594323 - (1702400*f[a[1]^3]*f[b[2]*c[2]]*f[a[1]*b[1]*c[3]])/
   14348907 + (42560000*f[a[1]^5]*f[b[2]*c[2]]*f[a[1]*b[1]*c[3]])/
   387420489 + (8852480*f[a[1]*a[2]^2]*f[b[2]*c[2]]*f[a[1]*b[1]*c[3]])/
   387420489 - (340480*f[a[3]]*f[b[2]*c[2]]*f[a[1]*b[1]*c[3]])/
   14348907 + (7831040*f[a[1]^2*a[3]]*f[b[2]*c[2]]*f[a[1]*b[1]*c[3]])/
   129140163 + (22131200*f[a[5]]*f[b[2]*c[2]]*f[a[1]*b[1]*c[3]])/
   1162261467 + (15895040*f[a[1]*b[1]*c[1]]*f[b[2]*c[2]]*
     f[a[1]*b[1]*c[3]])/129140163 - 
  (79475200*f[a[1]^3*b[1]*c[1]]*f[b[2]*c[2]]*f[a[1]*b[1]*c[3]])/
   1162261467 - (15895040*f[a[3]*b[1]*c[1]]*f[b[2]*c[2]]*
     f[a[1]*b[1]*c[3]])/1162261467 + 
  (10436608*f[a[2]*b[2]*c[1]]*f[b[2]*c[2]]*f[a[1]*b[1]*c[3]])/
   129140163 + (566085632*f[a[1]*b[3]*c[1]]*f[b[2]*c[2]]*
     f[a[1]*b[1]*c[3]])/3486784401 - 
  (81305600*f[a[2]*b[1]*c[2]]*f[b[2]*c[2]]*f[a[1]*b[1]*c[3]])/
   1162261467 + (340480*f[1]*f[a[1]*b[2]*c[2]]*f[a[1]*b[1]*c[3]])/
   1594323 + (340480*f[a[1]^2]*f[a[1]*b[2]*c[2]]*f[a[1]*b[1]*c[3]])/
   1594323 - (100441600*f[a[1]^4]*f[a[1]*b[2]*c[2]]*f[a[1]*b[1]*c[3]])/
   387420489 + (3872960000*f[a[1]^6]*f[a[1]*b[2]*c[2]]*
     f[a[1]*b[1]*c[3]])/10460353203 - 
  (147768320*f[a[2]^2]*f[a[1]*b[2]*c[2]]*f[a[1]*b[1]*c[3]])/
   1162261467 + (1588679680*f[a[1]^2*a[2]^2]*f[a[1]*b[2]*c[2]]*
     f[a[1]*b[1]*c[3]])/31381059609 + 
  (348651520*f[a[1]^3*a[3]]*f[a[1]*b[2]*c[2]]*f[a[1]*b[1]*c[3]])/
   3486784401 - (271362560*f[a[3]^2]*f[a[1]*b[2]*c[2]]*
     f[a[1]*b[1]*c[3]])/10460353203 + 
  (1394606080*f[a[2]*a[4]]*f[a[1]*b[2]*c[2]]*f[a[1]*b[1]*c[3]])/
   31381059609 + (15895040*f[b[1]*c[1]]*f[a[1]*b[2]*c[2]]*
     f[a[1]*b[1]*c[3]])/129140163 + 
  (15895040*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[2]*c[2]]*f[a[1]*b[1]*c[3]])/
   129140163 - (4689036800*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[2]*c[2]]*
     f[a[1]*b[1]*c[3]])/31381059609 - 
  (6898447360*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[2]*c[2]]*f[a[1]*b[1]*c[3]])/
   94143178827 + (566085632*f[b[3]*c[1]]*f[a[1]*b[2]*c[2]]*
     f[a[1]*b[1]*c[3]])/3486784401 + 
  (566085632*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[2]*c[2]]*f[a[1]*b[1]*c[3]])/
   3486784401 + (2569226240*f[b[5]*c[1]]*f[a[1]*b[2]*c[2]]*
     f[a[1]*b[1]*c[3]])/31381059609 - 
  (133137920*f[b[2]*c[2]]*f[a[1]*b[2]*c[2]]*f[a[1]*b[1]*c[3]])/
   387420489 + (340480*f[a[1]]*f[a[1]^2*b[2]*c[2]]*f[a[1]*b[1]*c[3]])/
   1594323 + (128360960*f[a[1]^3]*f[a[1]^2*b[2]*c[2]]*
     f[a[1]*b[1]*c[3]])/387420489 - 
  (7567168000*f[a[1]^5]*f[a[1]^2*b[2]*c[2]]*f[a[1]*b[1]*c[3]])/
   10460353203 - (2072161280*f[a[1]*a[2]^2]*f[a[1]^2*b[2]*c[2]]*
     f[a[1]*b[1]*c[3]])/31381059609 - 
  (340480*f[a[3]]*f[a[1]^2*b[2]*c[2]]*f[a[1]*b[1]*c[3]])/14348907 + 
  (37112320*f[a[1]^2*a[3]]*f[a[1]^2*b[2]*c[2]]*f[a[1]*b[1]*c[3]])/
   3486784401 + (22131200*f[a[5]]*f[a[1]^2*b[2]*c[2]]*
     f[a[1]*b[1]*c[3]])/1162261467 + 
  (15895040*f[a[1]*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]]*f[a[1]*b[1]*c[3]])/
   129140163 + (5992430080*f[a[1]^3*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]]*
     f[a[1]*b[1]*c[3]])/31381059609 - 
  (15895040*f[a[3]*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]]*f[a[1]*b[1]*c[3]])/
   1162261467 - (386154496*f[a[2]*b[2]*c[1]]*f[a[1]^2*b[2]*c[2]]*
     f[a[1]*b[1]*c[3]])/3486784401 + 
  (566085632*f[a[1]*b[3]*c[1]]*f[a[1]^2*b[2]*c[2]]*f[a[1]*b[1]*c[3]])/
   3486784401 + (3008307200*f[a[2]*b[1]*c[2]]*f[a[1]^2*b[2]*c[2]]*
     f[a[1]*b[1]*c[3]])/31381059609 - 
  (133137920*f[a[1]*b[2]*c[2]]*f[a[1]^2*b[2]*c[2]]*f[a[1]*b[1]*c[3]])/
   387420489 - (174325760*f[a[1]*a[2]]*f[a[2]*b[2]*c[2]]*
     f[a[1]*b[1]*c[3]])/1162261467 + 
  (871628800*f[a[1]^3*a[2]]*f[a[2]*b[2]*c[2]]*f[a[1]*b[1]*c[3]])/
   10460353203 + (174325760*f[a[2]*a[3]]*f[a[2]*b[2]*c[2]]*
     f[a[1]*b[1]*c[3]])/1162261467 - 
  (697303040*f[a[1]*a[4]]*f[a[2]*b[2]*c[2]]*f[a[1]*b[1]*c[3]])/
   31381059609 - (8138260480*f[a[1]*a[2]*b[1]*c[1]]*f[a[2]*b[2]*c[2]]*
     f[a[1]*b[1]*c[3]])/94143178827 - 
  (10436608*f[b[2]*c[1]]*f[a[2]*b[2]*c[2]]*f[a[1]*b[1]*c[3]])/
   129140163 + (386154496*f[a[1]^2*b[2]*c[1]]*f[a[2]*b[2]*c[2]]*
     f[a[1]*b[1]*c[3]])/3486784401 - 
  (13901332480*f[b[4]*c[1]]*f[a[2]*b[2]*c[2]]*f[a[1]*b[1]*c[3]])/
   94143178827 + (81305600*f[b[1]*c[2]]*f[a[2]*b[2]*c[2]]*
     f[a[1]*b[1]*c[3]])/1162261467 - 
  (3008307200*f[a[1]^2*b[1]*c[2]]*f[a[2]*b[2]*c[2]]*f[a[1]*b[1]*c[3]])/
   31381059609 - (45015040*f[a[2]]*f[b[3]*c[2]]*f[a[1]*b[1]*c[3]])/
   129140163 + (225075200*f[a[1]^2*a[2]]*f[b[3]*c[2]]*
     f[a[1]*b[1]*c[3]])/3486784401 - 
  (1125376000*f[a[1]^4*a[2]]*f[b[3]*c[2]]*f[a[1]*b[1]*c[3]])/
   31381059609 - (1170391040*f[a[2]^3]*f[b[3]*c[2]]*f[a[1]*b[1]*c[3]])/
   10460353203 - (1440481280*f[a[1]*a[2]*a[3]]*f[b[3]*c[2]]*
     f[a[1]*b[1]*c[3]])/31381059609 + 
  (180060160*f[a[4]]*f[b[3]*c[2]]*f[a[1]*b[1]*c[3]])/1162261467 - 
  (900300800*f[a[1]^2*a[4]]*f[b[3]*c[2]]*f[a[1]*b[1]*c[3]])/
   31381059609 - (1125376000*f[a[6]]*f[b[3]*c[2]]*f[a[1]*b[1]*c[3]])/
   10460353203 - (879861760*f[a[2]*b[1]*c[1]]*f[b[3]*c[2]]*
     f[a[1]*b[1]*c[3]])/3486784401 + 
  (4399308800*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[3]*c[2]]*f[a[1]*b[1]*c[3]])/
   94143178827 + (3519447040*f[a[4]*b[1]*c[1]]*f[b[3]*c[2]]*
     f[a[1]*b[1]*c[3]])/31381059609 + 
  (333185024*f[a[1]*b[2]*c[1]]*f[b[3]*c[2]]*f[a[1]*b[1]*c[3]])/
   1162261467 - (1665925120*f[a[1]^3*b[2]*c[1]]*f[b[3]*c[2]]*
     f[a[1]*b[1]*c[3]])/10460353203 - 
  (333185024*f[a[3]*b[2]*c[1]]*f[b[3]*c[2]]*f[a[1]*b[1]*c[3]])/
   10460353203 + (27262976*f[a[2]*b[3]*c[1]]*f[b[3]*c[2]]*
     f[a[1]*b[1]*c[3]])/1162261467 + 
  (8165785600*f[a[1]*b[4]*c[1]]*f[b[3]*c[2]]*f[a[1]*b[1]*c[3]])/
   94143178827 + (380108800*f[a[1]*b[1]*c[2]]*f[b[3]*c[2]]*
     f[a[1]*b[1]*c[3]])/3486784401 - 
  (1900544000*f[a[1]^3*b[1]*c[2]]*f[b[3]*c[2]]*f[a[1]*b[1]*c[3]])/
   31381059609 - (380108800*f[a[3]*b[1]*c[2]]*f[b[3]*c[2]]*
     f[a[1]*b[1]*c[3]])/31381059609 + 
  (2198773760*f[a[2]*b[2]*c[2]]*f[b[3]*c[2]]*f[a[1]*b[1]*c[3]])/
   31381059609 + (333185024*f[b[2]*c[1]]*f[a[1]*b[3]*c[2]]*
     f[a[1]*b[1]*c[3]])/1162261467 + 
  (333185024*f[a[1]^2*b[2]*c[1]]*f[a[1]*b[3]*c[2]]*f[a[1]*b[1]*c[3]])/
   1162261467 + (8165785600*f[b[4]*c[1]]*f[a[1]*b[3]*c[2]]*
     f[a[1]*b[1]*c[3]])/94143178827 + 
  (380108800*f[b[1]*c[2]]*f[a[1]*b[3]*c[2]]*f[a[1]*b[1]*c[3]])/
   3486784401 + (380108800*f[a[1]^2*b[1]*c[2]]*f[a[1]*b[3]*c[2]]*
     f[a[1]*b[1]*c[3]])/3486784401 - 
  (2888826880*f[b[3]*c[2]]*f[a[1]*b[3]*c[2]]*f[a[1]*b[1]*c[3]])/
   10460353203 + (55091200*f[a[1]]*f[b[4]*c[2]]*f[a[1]*b[1]*c[3]])/
   129140163 - (275456000*f[a[1]^3]*f[b[4]*c[2]]*f[a[1]*b[1]*c[3]])/
   1162261467 + (6886400000*f[a[1]^5]*f[b[4]*c[2]]*f[a[1]*b[1]*c[3]])/
   31381059609 + (1432371200*f[a[1]*a[2]^2]*f[b[4]*c[2]]*
     f[a[1]*b[1]*c[3]])/31381059609 - 
  (55091200*f[a[3]]*f[b[4]*c[2]]*f[a[1]*b[1]*c[3]])/1162261467 + 
  (1267097600*f[a[1]^2*a[3]]*f[b[4]*c[2]]*f[a[1]*b[1]*c[3]])/
   10460353203 + (3580928000*f[a[5]]*f[b[4]*c[2]]*f[a[1]*b[1]*c[3]])/
   94143178827 + (364748800*f[a[1]*b[1]*c[1]]*f[b[4]*c[2]]*
     f[a[1]*b[1]*c[3]])/1162261467 - 
  (1823744000*f[a[1]^3*b[1]*c[1]]*f[b[4]*c[2]]*f[a[1]*b[1]*c[3]])/
   10460353203 - (364748800*f[a[3]*b[1]*c[1]]*f[b[4]*c[2]]*
     f[a[1]*b[1]*c[3]])/10460353203 - 
  (7444889600*f[a[2]*b[2]*c[1]]*f[b[4]*c[2]]*f[a[1]*b[1]*c[3]])/
   31381059609 - (5342494720*f[a[1]*b[3]*c[1]]*f[b[4]*c[2]]*
     f[a[1]*b[1]*c[3]])/94143178827 - 
  (2883584000*f[a[2]*b[1]*c[2]]*f[b[4]*c[2]]*f[a[1]*b[1]*c[3]])/
   31381059609 - (6676275200*f[a[1]*b[2]*c[2]]*f[b[4]*c[2]]*
     f[a[1]*b[1]*c[3]])/31381059609 + 
  (3550720*f[a[1]]*f[b[1]*b[2]*c[1]*c[2]]*f[a[1]*b[1]*c[3]])/43046721 - 
  (17753600*f[a[1]^3]*f[b[1]*b[2]*c[1]*c[2]]*f[a[1]*b[1]*c[3]])/
   387420489 + (443840000*f[a[1]^5]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[1]*b[1]*c[3]])/10460353203 + 
  (92318720*f[a[1]*a[2]^2]*f[b[1]*b[2]*c[1]*c[2]]*f[a[1]*b[1]*c[3]])/
   10460353203 - (3550720*f[a[3]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[1]*b[1]*c[3]])/387420489 + 
  (81666560*f[a[1]^2*a[3]]*f[b[1]*b[2]*c[1]*c[2]]*f[a[1]*b[1]*c[3]])/
   3486784401 + (230796800*f[a[5]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[1]*b[1]*c[3]])/31381059609 - 
  (1031680*f[a[1]*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*f[a[1]*b[1]*c[3]])/
   129140163 + (5158400*f[a[1]^3*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[1]*b[1]*c[3]])/1162261467 + 
  (1031680*f[a[3]*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*f[a[1]*b[1]*c[3]])/
   1162261467 + (10875650048*f[a[2]*b[2]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[1]*b[1]*c[3]])/94143178827 + 
  (2315524096*f[a[1]*b[3]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[1]*b[1]*c[3]])/94143178827 - 
  (81305600*f[a[2]*b[1]*c[2]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[1]*b[1]*c[3]])/1162261467 - 
  (7617318400*f[a[1]*b[2]*c[2]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[1]*b[1]*c[3]])/31381059609 + 
  (51200*f[a[1]]*f[b[1]*c[3]]*f[a[1]*b[1]*c[3]])/1594323 - 
  (256000*f[a[1]^3]*f[b[1]*c[3]]*f[a[1]*b[1]*c[3]])/14348907 + 
  (6400000*f[a[1]^5]*f[b[1]*c[3]]*f[a[1]*b[1]*c[3]])/387420489 + 
  (1331200*f[a[1]*a[2]^2]*f[b[1]*c[3]]*f[a[1]*b[1]*c[3]])/387420489 - 
  (51200*f[a[3]]*f[b[1]*c[3]]*f[a[1]*b[1]*c[3]])/14348907 + 
  (1177600*f[a[1]^2*a[3]]*f[b[1]*c[3]]*f[a[1]*b[1]*c[3]])/129140163 + 
  (3328000*f[a[5]]*f[b[1]*c[3]]*f[a[1]*b[1]*c[3]])/1162261467 + 
  (51200*f[a[1]*b[1]*c[1]]*f[b[1]*c[3]]*f[a[1]*b[1]*c[3]])/1594323 - 
  (256000*f[a[1]^3*b[1]*c[1]]*f[b[1]*c[3]]*f[a[1]*b[1]*c[3]])/
   14348907 - (51200*f[a[3]*b[1]*c[1]]*f[b[1]*c[3]]*f[a[1]*b[1]*c[3]])/
   14348907 + (167772160*f[a[1]*b[3]*c[1]]*f[b[1]*c[3]]*
     f[a[1]*b[1]*c[3]])/1162261467 + 
  (28211200*f[a[1]*b[2]*c[2]]*f[b[1]*c[3]]*f[a[1]*b[1]*c[3]])/
   1162261467 + (25600*f[1]*f[a[1]*b[1]*c[3]]^2)/1594323 + 
  (25600*f[a[1]^2]*f[a[1]*b[1]*c[3]]^2)/1594323 - 
  (7552000*f[a[1]^4]*f[a[1]*b[1]*c[3]]^2)/387420489 + 
  (291200000*f[a[1]^6]*f[a[1]*b[1]*c[3]]^2)/10460353203 - 
  (11110400*f[a[2]^2]*f[a[1]*b[1]*c[3]]^2)/1162261467 + 
  (119449600*f[a[1]^2*a[2]^2]*f[a[1]*b[1]*c[3]]^2)/31381059609 + 
  (26214400*f[a[1]^3*a[3]]*f[a[1]*b[1]*c[3]]^2)/3486784401 - 
  (20403200*f[a[3]^2]*f[a[1]*b[1]*c[3]]^2)/10460353203 + 
  (104857600*f[a[2]*a[4]]*f[a[1]*b[1]*c[3]]^2)/31381059609 + 
  (25600*f[b[1]*c[1]]*f[a[1]*b[1]*c[3]]^2)/1594323 + 
  (25600*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[1]*c[3]]^2)/1594323 - 
  (7552000*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[1]*c[3]]^2)/387420489 - 
  (11110400*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[1]*c[3]]^2)/1162261467 + 
  (83886080*f[b[3]*c[1]]*f[a[1]*b[1]*c[3]]^2)/1162261467 + 
  (83886080*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[1]*c[3]]^2)/1162261467 + 
  (419430400*f[b[5]*c[1]]*f[a[1]*b[1]*c[3]]^2)/31381059609 + 
  (14105600*f[b[2]*c[2]]*f[a[1]*b[1]*c[3]]^2)/1162261467 + 
  (14105600*f[a[1]^2*b[2]*c[2]]*f[a[1]*b[1]*c[3]]^2)/1162261467 + 
  (720896000*f[b[4]*c[2]]*f[a[1]*b[1]*c[3]]^2)/31381059609 + 
  (14105600*f[b[1]*b[2]*c[1]*c[2]]*f[a[1]*b[1]*c[3]]^2)/1162261467 - 
  (400*f[1]^2*f[a[1]^2*b[1]*c[3]])/6561 + 
  (1280*f[a[1]]^2*f[a[1]^2*b[1]*c[3]])/6561 + 
  (28640*f[1]*f[a[1]^2]*f[a[1]^2*b[1]*c[3]])/59049 + 
  (665680*f[a[1]^2]^2*f[a[1]^2*b[1]*c[3]])/1594323 + 
  (965120*f[a[1]]*f[a[1]^3]*f[a[1]^2*b[1]*c[3]])/1594323 + 
  (42568960*f[a[1]^3]^2*f[a[1]^2*b[1]*c[3]])/43046721 - 
  (839200*f[1]*f[a[1]^4]*f[a[1]^2*b[1]*c[3]])/1594323 + 
  (41797280*f[a[1]^2]*f[a[1]^4]*f[a[1]^2*b[1]*c[3]])/43046721 + 
  (1101737840*f[a[1]^4]^2*f[a[1]^2*b[1]*c[3]])/387420489 - 
  (56896000*f[a[1]]*f[a[1]^5]*f[a[1]^2*b[1]*c[3]])/43046721 + 
  (697356800*f[a[1]^3]*f[a[1]^5]*f[a[1]^2*b[1]*c[3]])/387420489 + 
  (34520864000*f[a[1]^5]^2*f[a[1]^2*b[1]*c[3]])/3486784401 + 
  (31220000*f[1]*f[a[1]^6]*f[a[1]^2*b[1]*c[3]])/43046721 - 
  (1562092000*f[a[1]^2]*f[a[1]^6]*f[a[1]^2*b[1]*c[3]])/387420489 + 
  (11446069600*f[a[1]^4]*f[a[1]^6]*f[a[1]^2*b[1]*c[3]])/3486784401 + 
  (3869048699600*f[a[1]^6]^2*f[a[1]^2*b[1]*c[3]])/94143178827 - 
  (348160*f[a[2]]^2*f[a[1]^2*b[1]*c[3]])/4782969 - 
  (14417920*f[a[1]*a[2]]^2*f[a[1]^2*b[1]*c[3]])/129140163 - 
  (17489920*f[a[2]]*f[a[1]^2*a[2]]*f[a[1]^2*b[1]*c[3]])/129140163 - 
  (439808000*f[a[1]^2*a[2]]^2*f[a[1]^2*b[1]*c[3]])/1162261467 - 
  (175636480*f[a[1]*a[2]]*f[a[1]^3*a[2]]*f[a[1]^2*b[1]*c[3]])/
   387420489 - (39668940800*f[a[1]^3*a[2]]^2*f[a[1]^2*b[1]*c[3]])/
   31381059609 + (64102400*f[a[2]]*f[a[1]^4*a[2]]*f[a[1]^2*b[1]*c[3]])/
   387420489 - (37598781440*f[a[1]^2*a[2]]*f[a[1]^4*a[2]]*
     f[a[1]^2*b[1]*c[3]])/31381059609 - 
  (3942208040960*f[a[1]^4*a[2]]^2*f[a[1]^2*b[1]*c[3]])/847288609443 + 
  (1248320*f[1]*f[a[2]^2]*f[a[1]^2*b[1]*c[3]])/4782969 - 
  (90291520*f[a[1]^2]*f[a[2]^2]*f[a[1]^2*b[1]*c[3]])/129140163 + 
  (2213884480*f[a[1]^4]*f[a[2]^2]*f[a[1]^2*b[1]*c[3]])/1162261467 - 
  (132962216000*f[a[1]^6]*f[a[2]^2]*f[a[1]^2*b[1]*c[3]])/31381059609 + 
  (547069760*f[a[2]^2]^2*f[a[1]^2*b[1]*c[3]])/1162261467 - 
  (15580160*f[a[1]]*f[a[1]*a[2]^2]*f[a[1]^2*b[1]*c[3]])/129140163 - 
  (595809280*f[a[1]^3]*f[a[1]*a[2]^2]*f[a[1]^2*b[1]*c[3]])/1162261467 + 
  (139112166400*f[a[1]^5]*f[a[1]*a[2]^2]*f[a[1]^2*b[1]*c[3]])/
   31381059609 + (12835118080*f[a[1]*a[2]^2]^2*f[a[1]^2*b[1]*c[3]])/
   94143178827 + (148160*f[1]*f[a[1]^2*a[2]^2]*f[a[1]^2*b[1]*c[3]])/
   129140163 - (181890880*f[a[1]^2]*f[a[1]^2*a[2]^2]*
     f[a[1]^2*b[1]*c[3]])/1162261467 - 
  (1425636160*f[a[1]^4]*f[a[1]^2*a[2]^2]*f[a[1]^2*b[1]*c[3]])/
   31381059609 + (10619378862400*f[a[1]^6]*f[a[1]^2*a[2]^2]*
     f[a[1]^2*b[1]*c[3]])/847288609443 - 
  (44442823040*f[a[2]^2]*f[a[1]^2*a[2]^2]*f[a[1]^2*b[1]*c[3]])/
   94143178827 + (520741064000*f[a[1]^2*a[2]^2]^2*f[a[1]^2*b[1]*c[3]])/
   847288609443 - (117882880*f[a[2]]*f[a[2]^3]*f[a[1]^2*b[1]*c[3]])/
   129140163 + (62389207040*f[a[1]^2*a[2]]*f[a[2]^3]*
     f[a[1]^2*b[1]*c[3]])/31381059609 - 
  (4197286952960*f[a[1]^4*a[2]]*f[a[2]^3]*f[a[1]^2*b[1]*c[3]])/
   847288609443 - (81437081600*f[a[2]^3]^2*f[a[1]^2*b[1]*c[3]])/
   31381059609 - (2560*f[a[1]]*f[a[3]]*f[a[1]^2*b[1]*c[3]])/59049 - 
  (965120*f[a[1]^3]*f[a[3]]*f[a[1]^2*b[1]*c[3]])/14348907 + 
  (56896000*f[a[1]^5]*f[a[3]]*f[a[1]^2*b[1]*c[3]])/387420489 - 
  (655508480*f[a[1]*a[2]^2]*f[a[3]]*f[a[1]^2*b[1]*c[3]])/1162261467 - 
  (3992320*f[a[3]]^2*f[a[1]^2*b[1]*c[3]])/43046721 - 
  (35840*f[1]*f[a[1]*a[3]]*f[a[1]^2*b[1]*c[3]])/531441 - 
  (558080*f[a[1]^2]*f[a[1]*a[3]]*f[a[1]^2*b[1]*c[3]])/14348907 - 
  (64455680*f[a[1]^4]*f[a[1]*a[3]]*f[a[1]^2*b[1]*c[3]])/387420489 + 
  (1843072000*f[a[1]^6]*f[a[1]*a[3]]*f[a[1]^2*b[1]*c[3]])/3486784401 - 
  (651950080*f[a[2]^2]*f[a[1]*a[3]]*f[a[1]^2*b[1]*c[3]])/1162261467 - 
  (2102671360*f[a[1]^2*a[2]^2]*f[a[1]*a[3]]*f[a[1]^2*b[1]*c[3]])/
   10460353203 + (39116800*f[a[1]*a[3]]^2*f[a[1]^2*b[1]*c[3]])/
   129140163 + (279040*f[a[1]]*f[a[1]^2*a[3]]*f[a[1]^2*b[1]*c[3]])/
   14348907 - (33021440*f[a[1]^3]*f[a[1]^2*a[3]]*f[a[1]^2*b[1]*c[3]])/
   387420489 - (1721484800*f[a[1]^5]*f[a[1]^2*a[3]]*
     f[a[1]^2*b[1]*c[3]])/3486784401 + 
  (315366400*f[a[1]*a[2]^2]*f[a[1]^2*a[3]]*f[a[1]^2*b[1]*c[3]])/
   10460353203 + (292436480*f[a[3]]*f[a[1]^2*a[3]]*
     f[a[1]^2*b[1]*c[3]])/387420489 + 
  (6888697600*f[a[1]^2*a[3]]^2*f[a[1]^2*b[1]*c[3]])/10460353203 + 
  (3159040*f[1]*f[a[1]^3*a[3]]*f[a[1]^2*b[1]*c[3]])/14348907 + 
  (66042880*f[a[1]^2]*f[a[1]^3*a[3]]*f[a[1]^2*b[1]*c[3]])/387420489 - 
  (1074949120*f[a[1]^4]*f[a[1]^3*a[3]]*f[a[1]^2*b[1]*c[3]])/
   3486784401 - (53622553600*f[a[1]^6]*f[a[1]^3*a[3]]*
     f[a[1]^2*b[1]*c[3]])/31381059609 + 
  (9965393920*f[a[2]^2]*f[a[1]^3*a[3]]*f[a[1]^2*b[1]*c[3]])/
   10460353203 + (257204111360*f[a[1]^2*a[2]^2]*f[a[1]^3*a[3]]*
     f[a[1]^2*b[1]*c[3]])/282429536481 + 
  (9940582400*f[a[1]*a[3]]*f[a[1]^3*a[3]]*f[a[1]^2*b[1]*c[3]])/
   10460353203 + (448767631360*f[a[1]^3*a[3]]^2*f[a[1]^2*b[1]*c[3]])/
   282429536481 + (138936320*f[a[1]*a[2]]*f[a[2]*a[3]]*
     f[a[1]^2*b[1]*c[3]])/387420489 - 
  (6781665280*f[a[1]^3*a[2]]*f[a[2]*a[3]]*f[a[1]^2*b[1]*c[3]])/
   10460353203 - (3514040320*f[a[2]*a[3]]^2*f[a[1]^2*b[1]*c[3]])/
   31381059609 + (111411200*f[a[2]]*f[a[1]*a[2]*a[3]]*
     f[a[1]^2*b[1]*c[3]])/387420489 + 
  (722206720*f[a[1]^2*a[2]]*f[a[1]*a[2]*a[3]]*f[a[1]^2*b[1]*c[3]])/
   10460353203 - (309194915840*f[a[1]^4*a[2]]*f[a[1]*a[2]*a[3]]*
     f[a[1]^2*b[1]*c[3]])/282429536481 + 
  (119755243520*f[a[2]^3]*f[a[1]*a[2]*a[3]]*f[a[1]^2*b[1]*c[3]])/
   94143178827 - (232479784960*f[a[1]*a[2]*a[3]]^2*f[a[1]^2*b[1]*c[3]])/
   847288609443 + (960160*f[1]*f[a[3]^2]*f[a[1]^2*b[1]*c[3]])/
   43046721 - (21151840*f[a[1]^2]*f[a[3]^2]*f[a[1]^2*b[1]*c[3]])/
   387420489 + (862209440*f[a[1]^4]*f[a[3]^2]*f[a[1]^2*b[1]*c[3]])/
   10460353203 - (41469988000*f[a[1]^6]*f[a[3]^2]*f[a[1]^2*b[1]*c[3]])/
   282429536481 - (1744386880*f[a[2]^2]*f[a[3]^2]*f[a[1]^2*b[1]*c[3]])/
   31381059609 + (579940919360*f[a[1]^2*a[2]^2]*f[a[3]^2]*
     f[a[1]^2*b[1]*c[3]])/847288609443 - 
  (442065920*f[a[1]*a[3]]*f[a[3]^2]*f[a[1]^2*b[1]*c[3]])/3486784401 - 
  (7447055360*f[a[1]^3*a[3]]*f[a[3]^2]*f[a[1]^2*b[1]*c[3]])/
   31381059609 - (26718680240*f[a[3]^2]^2*f[a[1]^2*b[1]*c[3]])/
   94143178827 + (14909440*f[a[2]]*f[a[4]]*f[a[1]^2*b[1]*c[3]])/
   129140163 - (54886400*f[a[1]^2*a[2]]*f[a[4]]*f[a[1]^2*b[1]*c[3]])/
   387420489 + (4567040000*f[a[1]^4*a[2]]*f[a[4]]*f[a[1]^2*b[1]*c[3]])/
   31381059609 + (2505113600*f[a[2]^3]*f[a[4]]*f[a[1]^2*b[1]*c[3]])/
   31381059609 + (1441792000*f[a[1]*a[2]*a[3]]*f[a[4]]*
     f[a[1]^2*b[1]*c[3]])/3486784401 + 
  (114360320*f[a[4]]^2*f[a[1]^2*b[1]*c[3]])/1162261467 - 
  (73400320*f[a[1]*a[2]]*f[a[1]*a[4]]*f[a[1]^2*b[1]*c[3]])/1162261467 - 
  (1583349760*f[a[1]^3*a[2]]*f[a[1]*a[4]]*f[a[1]^2*b[1]*c[3]])/
   31381059609 + (4729077760*f[a[2]*a[3]]*f[a[1]*a[4]]*
     f[a[1]^2*b[1]*c[3]])/10460353203 - 
  (4005560320*f[a[1]*a[4]]^2*f[a[1]^2*b[1]*c[3]])/10460353203 - 
  (54886400*f[a[2]]*f[a[1]^2*a[4]]*f[a[1]^2*b[1]*c[3]])/387420489 - 
  (351109120*f[a[1]^2*a[2]]*f[a[1]^2*a[4]]*f[a[1]^2*b[1]*c[3]])/
   31381059609 + (108782059520*f[a[1]^4*a[2]]*f[a[1]^2*a[4]]*
     f[a[1]^2*b[1]*c[3]])/847288609443 - 
  (9002352640*f[a[2]^3]*f[a[1]^2*a[4]]*f[a[1]^2*b[1]*c[3]])/
   847288609443 - (4094689280*f[a[1]*a[2]*a[3]]*f[a[1]^2*a[4]]*
     f[a[1]^2*b[1]*c[3]])/282429536481 - 
  (9664593920*f[a[4]]*f[a[1]^2*a[4]]*f[a[1]^2*b[1]*c[3]])/10460353203 - 
  (239240806400*f[a[1]^2*a[4]]^2*f[a[1]^2*b[1]*c[3]])/282429536481 - 
  (14090240*f[1]*f[a[2]*a[4]]*f[a[1]^2*b[1]*c[3]])/129140163 + 
  (109772800*f[a[1]^2]*f[a[2]*a[4]]*f[a[1]^2*b[1]*c[3]])/387420489 - 
  (25633423360*f[a[1]^4]*f[a[2]*a[4]]*f[a[1]^2*b[1]*c[3]])/
   31381059609 + (1560829952000*f[a[1]^6]*f[a[2]*a[4]]*
     f[a[1]^2*b[1]*c[3]])/847288609443 - 
  (29368647680*f[a[2]^2]*f[a[2]*a[4]]*f[a[1]^2*b[1]*c[3]])/
   94143178827 + (273234657280*f[a[1]^2*a[2]^2]*f[a[2]*a[4]]*
     f[a[1]^2*b[1]*c[3]])/847288609443 - 
  (3559915520*f[a[1]*a[3]]*f[a[2]*a[4]]*f[a[1]^2*b[1]*c[3]])/
   10460353203 + (227714007040*f[a[1]^3*a[3]]*f[a[2]*a[4]]*
     f[a[1]^2*b[1]*c[3]])/282429536481 - 
  (109990707200*f[a[3]^2]*f[a[2]*a[4]]*f[a[1]^2*b[1]*c[3]])/
   847288609443 + (499457720320*f[a[2]*a[4]]^2*f[a[1]^2*b[1]*c[3]])/
   2541865828329 + (166400*f[a[1]]*f[a[5]]*f[a[1]^2*b[1]*c[3]])/
   4782969 + (62732800*f[a[1]^3]*f[a[5]]*f[a[1]^2*b[1]*c[3]])/
   1162261467 - (3698240000*f[a[1]^5]*f[a[5]]*f[a[1]^2*b[1]*c[3]])/
   31381059609 + (22475392000*f[a[1]*a[2]^2]*f[a[5]]*
     f[a[1]^2*b[1]*c[3]])/94143178827 + 
  (3699200*f[a[3]]*f[a[5]]*f[a[1]^2*b[1]*c[3]])/1162261467 - 
  (91712000*f[a[1]^2*a[3]]*f[a[5]]*f[a[1]^2*b[1]*c[3]])/3486784401 - 
  (14546336000*f[a[5]]^2*f[a[1]^2*b[1]*c[3]])/94143178827 + 
  (2329600*f[1]*f[a[1]*a[5]]*f[a[1]^2*b[1]*c[3]])/43046721 + 
  (36275200*f[a[1]^2]*f[a[1]*a[5]]*f[a[1]^2*b[1]*c[3]])/1162261467 + 
  (4189619200*f[a[1]^4]*f[a[1]*a[5]]*f[a[1]^2*b[1]*c[3]])/31381059609 - 
  (119799680000*f[a[1]^6]*f[a[1]*a[5]]*f[a[1]^2*b[1]*c[3]])/
   282429536481 + (19098368000*f[a[2]^2]*f[a[1]*a[5]]*
     f[a[1]^2*b[1]*c[3]])/94143178827 + 
  (68096768000*f[a[1]^2*a[2]^2]*f[a[1]*a[5]]*f[a[1]^2*b[1]*c[3]])/
   847288609443 - (209305600*f[a[1]*a[3]]*f[a[1]*a[5]]*
     f[a[1]^2*b[1]*c[3]])/10460353203 - 
  (3711385600*f[a[1]^3*a[3]]*f[a[1]*a[5]]*f[a[1]^2*b[1]*c[3]])/
   94143178827 - (520985600*f[a[3]^2]*f[a[1]*a[5]]*
     f[a[1]^2*b[1]*c[3]])/282429536481 - 
  (1571579494400*f[a[2]*a[4]]*f[a[1]*a[5]]*f[a[1]^2*b[1]*c[3]])/
   2541865828329 + (422274457600*f[a[1]*a[5]]^2*f[a[1]^2*b[1]*c[3]])/
   847288609443 - (30515200*f[a[2]]*f[a[6]]*f[a[1]^2*b[1]*c[3]])/
   387420489 + (970465280*f[a[1]^2*a[2]]*f[a[6]]*f[a[1]^2*b[1]*c[3]])/
   10460353203 - (8941772800*f[a[1]^4*a[2]]*f[a[6]]*
     f[a[1]^2*b[1]*c[3]])/94143178827 - 
  (6071173120*f[a[2]^3]*f[a[6]]*f[a[1]^2*b[1]*c[3]])/94143178827 - 
  (144662855680*f[a[1]*a[2]*a[3]]*f[a[6]]*f[a[1]^2*b[1]*c[3]])/
   847288609443 + (320307200*f[a[4]]*f[a[6]]*f[a[1]^2*b[1]*c[3]])/
   10460353203 - (2239528960*f[a[1]^2*a[4]]*f[a[6]]*
     f[a[1]^2*b[1]*c[3]])/94143178827 + 
  (48989286400*f[a[6]]^2*f[a[1]^2*b[1]*c[3]])/282429536481 - 
  (4000*f[1]*f[b[1]*c[1]]*f[a[1]^2*b[1]*c[3]])/59049 + 
  (143200*f[a[1]^2]*f[b[1]*c[1]]*f[a[1]^2*b[1]*c[3]])/531441 - 
  (4196000*f[a[1]^4]*f[b[1]*c[1]]*f[a[1]^2*b[1]*c[3]])/14348907 + 
  (156100000*f[a[1]^6]*f[b[1]*c[1]]*f[a[1]^2*b[1]*c[3]])/387420489 + 
  (6241600*f[a[2]^2]*f[b[1]*c[1]]*f[a[1]^2*b[1]*c[3]])/43046721 + 
  (740800*f[a[1]^2*a[2]^2]*f[b[1]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   1162261467 - (179200*f[a[1]*a[3]]*f[b[1]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   4782969 + (15795200*f[a[1]^3*a[3]]*f[b[1]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/129140163 + 
  (4800800*f[a[3]^2]*f[b[1]*c[1]]*f[a[1]^2*b[1]*c[3]])/387420489 - 
  (70451200*f[a[2]*a[4]]*f[b[1]*c[1]]*f[a[1]^2*b[1]*c[3]])/1162261467 + 
  (11648000*f[a[1]*a[5]]*f[b[1]*c[1]]*f[a[1]^2*b[1]*c[3]])/387420489 - 
  (400*f[b[1]*c[1]]^2*f[a[1]^2*b[1]*c[3]])/59049 + 
  (12800*f[a[1]]*f[a[1]*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]])/59049 + 
  (4825600*f[a[1]^3]*f[a[1]*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]])/14348907 - 
  (284480000*f[a[1]^5]*f[a[1]*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   387420489 - (77900800*f[a[1]*a[2]^2]*f[a[1]*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/1162261467 - 
  (12800*f[a[3]]*f[a[1]*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]])/531441 + 
  (1395200*f[a[1]^2*a[3]]*f[a[1]*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   129140163 + (832000*f[a[5]]*f[a[1]*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   43046721 + (1280*f[a[1]*b[1]*c[1]]^2*f[a[1]^2*b[1]*c[3]])/59049 + 
  (143200*f[1]*f[a[1]^2*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]])/531441 + 
  (6656800*f[a[1]^2]*f[a[1]^2*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   14348907 + (208986400*f[a[1]^4]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/387420489 - 
  (7810460000*f[a[1]^6]*f[a[1]^2*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   3486784401 - (451457600*f[a[2]^2]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/1162261467 - 
  (909454400*f[a[1]^2*a[2]^2]*f[a[1]^2*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   10460353203 - (2790400*f[a[1]*a[3]]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/129140163 + 
  (330214400*f[a[1]^3*a[3]]*f[a[1]^2*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   3486784401 - (105759200*f[a[3]^2]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/3486784401 + 
  (548864000*f[a[2]*a[4]]*f[a[1]^2*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   3486784401 + (181376000*f[a[1]*a[5]]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/10460353203 + 
  (28640*f[b[1]*c[1]]*f[a[1]^2*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]])/531441 + 
  (665680*f[a[1]^2*b[1]*c[1]]^2*f[a[1]^2*b[1]*c[3]])/14348907 + 
  (4825600*f[a[1]]*f[a[1]^3*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]])/14348907 + 
  (425689600*f[a[1]^3]*f[a[1]^3*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   387420489 + (3486784000*f[a[1]^5]*f[a[1]^3*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/3486784401 - 
  (2979046400*f[a[1]*a[2]^2]*f[a[1]^3*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   10460353203 - (4825600*f[a[3]]*f[a[1]^3*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/129140163 - 
  (165107200*f[a[1]^2*a[3]]*f[a[1]^3*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   3486784401 + (313664000*f[a[5]]*f[a[1]^3*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/10460353203 + 
  (965120*f[a[1]*b[1]*c[1]]*f[a[1]^3*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   14348907 + (42568960*f[a[1]^3*b[1]*c[1]]^2*f[a[1]^2*b[1]*c[3]])/
   387420489 - (4196000*f[1]*f[a[1]^4*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   14348907 + (208986400*f[a[1]^2]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/387420489 + 
  (11017378400*f[a[1]^4]*f[a[1]^4*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   3486784401 + (57230348000*f[a[1]^6]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/31381059609 + 
  (11069422400*f[a[2]^2]*f[a[1]^4*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   10460353203 - (7128180800*f[a[1]^2*a[2]^2]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/282429536481 - 
  (322278400*f[a[1]*a[3]]*f[a[1]^4*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   3486784401 - (5374745600*f[a[1]^3*a[3]]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/31381059609 + 
  (4311047200*f[a[3]^2]*f[a[1]^4*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   94143178827 - (128167116800*f[a[2]*a[4]]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/282429536481 + 
  (20948096000*f[a[1]*a[5]]*f[a[1]^4*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   282429536481 - (839200*f[b[1]*c[1]]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/14348907 + 
  (41797280*f[a[1]^2*b[1]*c[1]]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/387420489 + 
  (1101737840*f[a[1]^4*b[1]*c[1]]^2*f[a[1]^2*b[1]*c[3]])/3486784401 - 
  (3481600*f[a[2]]*f[a[2]*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]])/43046721 - 
  (87449600*f[a[1]^2*a[2]]*f[a[2]*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   1162261467 + (320512000*f[a[1]^4*a[2]]*f[a[2]*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/3486784401 - 
  (589414400*f[a[2]^3]*f[a[2]*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   1162261467 + (557056000*f[a[1]*a[2]*a[3]]*f[a[2]*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/3486784401 + 
  (74547200*f[a[4]]*f[a[2]*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]])/1162261467 - 
  (274432000*f[a[1]^2*a[4]]*f[a[2]*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   3486784401 - (152576000*f[a[6]]*f[a[2]*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/3486784401 - 
  (348160*f[a[2]*b[1]*c[1]]^2*f[a[1]^2*b[1]*c[3]])/43046721 - 
  (144179200*f[a[1]*a[2]]*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   1162261467 - (878182400*f[a[1]^3*a[2]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/3486784401 + 
  (694681600*f[a[2]*a[3]]*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   3486784401 - (367001600*f[a[1]*a[4]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/10460353203 - 
  (14417920*f[a[1]*a[2]*b[1]*c[1]]^2*f[a[1]^2*b[1]*c[3]])/1162261467 - 
  (87449600*f[a[2]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   1162261467 - (4398080000*f[a[1]^2*a[2]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/10460353203 - 
  (187993907200*f[a[1]^4*a[2]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/282429536481 + 
  (311946035200*f[a[2]^3]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/282429536481 + 
  (3611033600*f[a[1]*a[2]*a[3]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/94143178827 - 
  (274432000*f[a[4]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   3486784401 - (1755545600*f[a[1]^2*a[4]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/282429536481 + 
  (4852326400*f[a[6]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   94143178827 - (17489920*f[a[2]*b[1]*c[1]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/1162261467 - 
  (439808000*f[a[1]^2*a[2]*b[1]*c[1]]^2*f[a[1]^2*b[1]*c[3]])/
   10460353203 + (6241600*f[1]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/43046721 - 
  (451457600*f[a[1]^2]*f[a[2]^2*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   1162261467 + (11069422400*f[a[1]^4]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/10460353203 - 
  (664811080000*f[a[1]^6]*f[a[2]^2*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   282429536481 + (5470697600*f[a[2]^2]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/10460353203 - 
  (222214115200*f[a[1]^2*a[2]^2]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/847288609443 - 
  (3259750400*f[a[1]*a[3]]*f[a[2]^2*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   10460353203 + (49826969600*f[a[1]^3*a[3]]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/94143178827 - 
  (8721934400*f[a[3]^2]*f[a[2]^2*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   282429536481 - (146843238400*f[a[2]*a[4]]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/847288609443 + 
  (95491840000*f[a[1]*a[5]]*f[a[2]^2*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   847288609443 + (1248320*f[b[1]*c[1]]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/43046721 - 
  (90291520*f[a[1]^2*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/1162261467 + 
  (2213884480*f[a[1]^4*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/10460353203 + 
  (547069760*f[a[2]^2*b[1]*c[1]]^2*f[a[1]^2*b[1]*c[3]])/10460353203 - 
  (12800*f[a[1]]*f[a[3]*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]])/531441 - 
  (4825600*f[a[1]^3]*f[a[3]*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]])/129140163 + 
  (284480000*f[a[1]^5]*f[a[3]*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   3486784401 - (3277542400*f[a[1]*a[2]^2]*f[a[3]*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/10460353203 - 
  (39923200*f[a[3]]*f[a[3]*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]])/387420489 + 
  (1462182400*f[a[1]^2*a[3]]*f[a[3]*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   3486784401 + (18496000*f[a[5]]*f[a[3]*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/10460353203 - 
  (2560*f[a[1]*b[1]*c[1]]*f[a[3]*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   531441 - (965120*f[a[1]^3*b[1]*c[1]]*f[a[3]*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/129140163 - 
  (3992320*f[a[3]*b[1]*c[1]]^2*f[a[1]^2*b[1]*c[3]])/387420489 - 
  (179200*f[1]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]])/4782969 - 
  (2790400*f[a[1]^2]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   129140163 - (322278400*f[a[1]^4]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/3486784401 + 
  (9215360000*f[a[1]^6]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   31381059609 - (3259750400*f[a[2]^2]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/10460353203 - 
  (10513356800*f[a[1]^2*a[2]^2]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/94143178827 + 
  (391168000*f[a[1]*a[3]]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   1162261467 + (49702912000*f[a[1]^3*a[3]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/94143178827 - 
  (2210329600*f[a[3]^2]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   31381059609 - (17799577600*f[a[2]*a[4]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/94143178827 - 
  (1046528000*f[a[1]*a[5]]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   94143178827 - (35840*f[b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/4782969 - 
  (558080*f[a[1]^2*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/129140163 - 
  (64455680*f[a[1]^4*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/3486784401 - 
  (651950080*f[a[2]^2*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/10460353203 + 
  (39116800*f[a[1]*a[3]*b[1]*c[1]]^2*f[a[1]^2*b[1]*c[3]])/1162261467 + 
  (74547200*f[a[2]]*f[a[4]*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]])/1162261467 - 
  (274432000*f[a[1]^2*a[2]]*f[a[4]*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   3486784401 + (22835200000*f[a[1]^4*a[2]]*f[a[4]*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/282429536481 + 
  (12525568000*f[a[2]^3]*f[a[4]*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   282429536481 + (7208960000*f[a[1]*a[2]*a[3]]*f[a[4]*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/31381059609 + 
  (1143603200*f[a[4]]*f[a[4]*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   10460353203 - (48322969600*f[a[1]^2*a[4]]*f[a[4]*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/94143178827 + 
  (1601536000*f[a[6]]*f[a[4]*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   94143178827 + (14909440*f[a[2]*b[1]*c[1]]*f[a[4]*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/1162261467 - 
  (54886400*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[4]*b[1]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/3486784401 + 
  (114360320*f[a[4]*b[1]*c[1]]^2*f[a[1]^2*b[1]*c[3]])/10460353203 - 
  (9961472*f[a[1]*a[2]]*f[b[2]*c[1]]*f[a[1]^2*b[1]*c[3]])/43046721 + 
  (49807360*f[a[1]^3*a[2]]*f[b[2]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   387420489 + (9961472*f[a[2]*a[3]]*f[b[2]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   387420489 + (39845888*f[a[1]*a[4]]*f[b[2]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/387420489 - 
  (134742016*f[a[1]*a[2]*b[1]*c[1]]*f[b[2]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   1162261467 + (3276800*f[b[2]*c[1]]^2*f[a[1]^2*b[1]*c[3]])/129140163 - 
  (11517952*f[a[2]]*f[a[1]*b[2]*c[1]]*f[a[1]^2*b[1]*c[3]])/43046721 - 
  (33931264*f[a[1]^2*a[2]]*f[a[1]*b[2]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   387420489 + (1305886720*f[a[1]^4*a[2]]*f[a[1]*b[2]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/10460353203 + 
  (1651736576*f[a[2]^3]*f[a[1]*b[2]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   10460353203 - (69730304*f[a[1]*a[2]*a[3]]*f[a[1]*b[2]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/3486784401 + 
  (46071808*f[a[4]]*f[a[1]*b[2]*c[1]]*f[a[1]^2*b[1]*c[3]])/387420489 + 
  (135725056*f[a[1]^2*a[4]]*f[a[1]*b[2]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   3486784401 - (287948800*f[a[6]]*f[a[1]*b[2]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/3486784401 - 
  (155795456*f[a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   1162261467 - (458964992*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/10460353203 + 
  (623181824*f[a[4]*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   10460353203 - (10485760*f[a[1]*b[2]*c[1]]^2*f[a[1]^2*b[1]*c[3]])/
   129140163 - (234618880*f[b[2]*c[1]]*f[a[1]^2*b[2]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/1162261467 - 
  (5453250560*f[a[1]^2*b[2]*c[1]]^2*f[a[1]^2*b[1]*c[3]])/31381059609 + 
  (216973312*f[a[2]]*f[a[1]^3*b[2]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   387420489 + (4015407104*f[a[1]^2*a[2]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/10460353203 + 
  (26473545728*f[a[1]^4*a[2]]*f[a[1]^3*b[2]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   282429536481 - (245044117504*f[a[2]^3]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/282429536481 + 
  (1842872320*f[a[1]*a[2]*a[3]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/94143178827 - 
  (867893248*f[a[4]]*f[a[1]^3*b[2]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   3486784401 - (16061628416*f[a[1]^2*a[4]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/94143178827 + 
  (5424332800*f[a[6]]*f[a[1]^3*b[2]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   31381059609 + (2934849536*f[a[2]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/10460353203 + 
  (54313664512*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/282429536481 - 
  (11739398144*f[a[4]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/94143178827 - 
  (7906263040*f[a[1]*b[2]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/31381059609 - 
  (348724920320*f[a[1]^3*b[2]*c[1]]^2*f[a[1]^2*b[1]*c[3]])/847288609443 + 
  (11517952*f[a[1]]*f[a[2]*b[2]*c[1]]*f[a[1]^2*b[1]*c[3]])/43046721 - 
  (216973312*f[a[1]^3]*f[a[2]*b[2]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   387420489 + (3136307200*f[a[1]^5]*f[a[2]*b[2]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/3486784401 + 
  (13649084416*f[a[1]*a[2]^2]*f[a[2]*b[2]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   31381059609 + (13385728*f[a[3]]*f[a[2]*b[2]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/387420489 - 
  (467255296*f[a[1]^2*a[3]]*f[a[2]*b[2]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   3486784401 - (122961920*f[a[5]]*f[a[2]*b[2]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/31381059609 + 
  (155795456*f[a[1]*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   1162261467 - (2934849536*f[a[1]^3*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/10460353203 + 
  (181059584*f[a[3]*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   10460353203 + (2852126720*f[a[2]*b[2]*c[1]]^2*f[a[1]^2*b[1]*c[3]])/
   94143178827 + (9961472*f[1]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/43046721 - 
  (10449584128*f[a[1]^4]*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   10460353203 + (777492889600*f[a[1]^6]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/282429536481 + 
  (13368295424*f[a[2]^2]*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   31381059609 + (87820337152*f[a[1]^2*a[2]^2]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/282429536481 - 
  (69730304*f[a[1]*a[3]]*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   387420489 - (19594215424*f[a[1]^3*a[3]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/94143178827 + 
  (4163895296*f[a[3]^2]*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   282429536481 - (77141639168*f[a[2]*a[4]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/847288609443 + 
  (2141716480*f[a[1]*a[5]]*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   31381059609 + (134742016*f[b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/1162261467 - 
  (141344374784*f[a[1]^4*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/282429536481 + 
  (180823785472*f[a[2]^2*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/847288609443 - 
  (943194112*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/10460353203 + 
  (118111600640*f[a[1]*a[2]*b[2]*c[1]]^2*f[a[1]^2*b[1]*c[3]])/
   2541865828329 - (13385728*f[a[2]]*f[a[3]*b[2]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/387420489 + 
  (308494336*f[a[1]^2*a[2]]*f[a[3]*b[2]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   1162261467 - (27429847040*f[a[1]^4*a[2]]*f[a[3]*b[2]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/94143178827 + 
  (12402655232*f[a[2]^3]*f[a[3]*b[2]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   31381059609 - (111419064320*f[a[1]*a[2]*a[3]]*f[a[3]*b[2]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/282429536481 - 
  (344915968*f[a[4]]*f[a[3]*b[2]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   3486784401 + (10562895872*f[a[1]^2*a[4]]*f[a[3]*b[2]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/31381059609 + 
  (12129648640*f[a[6]]*f[a[3]*b[2]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   282429536481 - (181059584*f[a[2]*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/10460353203 + 
  (4172791808*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/31381059609 - 
  (4665442304*f[a[4]*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   94143178827 + (20971520*f[a[1]*b[2]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/1162261467 + 
  (7906263040*f[a[1]^3*b[2]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/282429536481 + 
  (32705085440*f[a[3]*b[2]*c[1]]^2*f[a[1]^2*b[1]*c[3]])/847288609443 - 
  (511360*f[1]*f[b[3]*c[1]]*f[a[1]^2*b[1]*c[3]])/4782969 + 
  (18306688*f[a[1]^2]*f[b[3]*c[1]]*f[a[1]^2*b[1]*c[3]])/43046721 - 
  (536416640*f[a[1]^4]*f[b[3]*c[1]]*f[a[1]^2*b[1]*c[3]])/1162261467 + 
  (19955824000*f[a[1]^6]*f[b[3]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   31381059609 + (797926144*f[a[2]^2]*f[b[3]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/3486784401 + 
  (94703872*f[a[1]^2*a[2]^2]*f[b[3]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   94143178827 - (22908928*f[a[1]*a[3]]*f[b[3]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/387420489 + 
  (2019258368*f[a[1]^3*a[3]]*f[b[3]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   10460353203 + (613734272*f[a[3]^2]*f[b[3]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/31381059609 - 
  (9006481408*f[a[2]*a[4]]*f[b[3]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   94143178827 + (1489080320*f[a[1]*a[5]]*f[b[3]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/31381059609 + 
  (640640*f[b[1]*c[1]]*f[b[3]*c[1]]*f[a[1]^2*b[1]*c[3]])/43046721 - 
  (22934912*f[a[1]^2*b[1]*c[1]]*f[b[3]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   387420489 + (672031360*f[a[1]^4*b[1]*c[1]]*f[b[3]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/10460353203 - 
  (999654656*f[a[2]^2*b[1]*c[1]]*f[b[3]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   31381059609 + (28700672*f[a[1]*a[3]*b[1]*c[1]]*f[b[3]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/3486784401 + 
  (15435038720*f[a[1]*a[2]*b[2]*c[1]]*f[b[3]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/94143178827 + 
  (26214400*f[b[3]*c[1]]^2*f[a[1]^2*b[1]*c[3]])/387420489 + 
  (1636352*f[a[1]]*f[a[1]*b[3]*c[1]]*f[a[1]^2*b[1]*c[3]])/4782969 + 
  (616904704*f[a[1]^3]*f[a[1]*b[3]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   1162261467 - (36367923200*f[a[1]^5]*f[a[1]*b[3]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/31381059609 - 
  (9958838272*f[a[1]*a[2]^2]*f[a[1]*b[3]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   94143178827 - (1636352*f[a[3]]*f[a[1]*b[3]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/43046721 + 
  (178362368*f[a[1]^2*a[3]]*f[a[1]*b[3]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   10460353203 + (106362880*f[a[5]]*f[a[1]*b[3]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/3486784401 - 
  (2050048*f[a[1]*b[1]*c[1]]*f[a[1]*b[3]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   43046721 - (772868096*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[3]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/10460353203 + 
  (2050048*f[a[3]*b[1]*c[1]]*f[a[1]*b[3]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   387420489 + (17846763520*f[a[2]*b[2]*c[1]]*f[a[1]*b[3]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/94143178827 - 
  (83886080*f[a[1]*b[3]*c[1]]^2*f[a[1]^2*b[1]*c[3]])/387420489 + 
  (18306688*f[1]*f[a[1]^2*b[3]*c[1]]*f[a[1]^2*b[1]*c[3]])/43046721 + 
  (851005312*f[a[1]^2]*f[a[1]^2*b[3]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   1162261467 + (26716821376*f[a[1]^4]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/31381059609 - 
  (998489206400*f[a[1]^6]*f[a[1]^2*b[3]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   282429536481 - (57714339584*f[a[2]^2]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/94143178827 - 
  (116264650496*f[a[1]^2*a[2]^2]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/847288609443 - 
  (356724736*f[a[1]*a[3]]*f[a[1]^2*b[3]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   10460353203 + (42214608896*f[a[1]^3*a[3]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/282429536481 - 
  (13520256128*f[a[3]^2]*f[a[1]^2*b[3]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   282429536481 + (70166773760*f[a[2]*a[4]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/282429536481 + 
  (23187107840*f[a[1]*a[5]]*f[a[1]^2*b[3]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   847288609443 - (22934912*f[b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/387420489 - 
  (1066153088*f[a[1]^2*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/10460353203 - 
  (33471261824*f[a[1]^4*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/282429536481 + 
  (72305449216*f[a[2]^2*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/847288609443 + 
  (446910464*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/94143178827 - 
  (1876951040*f[b[3]*c[1]]*f[a[1]^2*b[3]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   3486784401 - (43626004480*f[a[1]^2*b[3]*c[1]]^2*f[a[1]^2*b[1]*c[3]])/
   94143178827 - (445087744*f[a[2]]*f[a[2]*b[3]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/3486784401 - 
  (11179556864*f[a[1]^2*a[2]]*f[a[2]*b[3]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   94143178827 + (40974254080*f[a[1]^4*a[2]]*f[a[2]*b[3]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/282429536481 - 
  (75350736896*f[a[2]^3]*f[a[2]*b[3]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   94143178827 + (71214039040*f[a[1]*a[2]*a[3]]*f[a[2]*b[3]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/282429536481 + 
  (9530114048*f[a[4]]*f[a[2]*b[3]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   94143178827 - (35083386880*f[a[1]^2*a[4]]*f[a[2]*b[3]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/282429536481 - 
  (19505315840*f[a[6]]*f[a[2]*b[3]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   282429536481 + (557613056*f[a[2]*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/31381059609 + 
  (14005927936*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/847288609443 - 
  (11939479552*f[a[4]*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/847288609443 - 
  (17846763520*f[a[1]*b[2]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/94143178827 + 
  (336194437120*f[a[1]^3*b[2]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/847288609443 - 
  (20740833280*f[a[3]*b[2]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/847288609443 + 
  (22817013760*f[a[2]*b[3]*c[1]]^2*f[a[1]^2*b[1]*c[3]])/282429536481 - 
  (435159040*f[a[1]*a[2]]*f[b[4]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   1162261467 + (2175795200*f[a[1]^3*a[2]]*f[b[4]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/10460353203 + 
  (435159040*f[a[2]*a[3]]*f[b[4]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   10460353203 + (1740636160*f[a[1]*a[4]]*f[b[4]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/10460353203 + 
  (36700160*f[a[1]*a[2]*b[1]*c[1]]*f[b[4]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   3486784401 + (81264640*f[b[2]*c[1]]*f[b[4]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/1162261467 - 
  (2909274112*f[a[1]^2*b[2]*c[1]]*f[b[4]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   10460353203 - (170393600*f[b[4]*c[1]]^2*f[a[1]^2*b[1]*c[3]])/
   3486784401 - (503152640*f[a[2]]*f[a[1]*b[4]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/1162261467 - 
  (1482260480*f[a[1]^2*a[2]]*f[a[1]*b[4]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   10460353203 + (57046630400*f[a[1]^4*a[2]]*f[a[1]*b[4]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/282429536481 + 
  (72154808320*f[a[2]^3]*f[a[1]*b[4]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   282429536481 - (3046113280*f[a[1]*a[2]*a[3]]*f[a[1]*b[4]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/94143178827 + 
  (2012610560*f[a[4]]*f[a[1]*b[4]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   10460353203 + (5929041920*f[a[1]^2*a[4]]*f[a[1]*b[4]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/94143178827 - 
  (12578816000*f[a[6]]*f[a[1]*b[4]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   94143178827 + (42434560*f[a[2]*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/3486784401 + 
  (125009920*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/31381059609 - 
  (169738240*f[a[4]*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   31381059609 - (260046848*f[a[1]*b[2]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/1162261467 - 
  (98037661696*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/282429536481 + 
  (260046848*f[a[3]*b[2]*c[1]]*f[a[1]*b[4]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   10460353203 + (338622939136*f[a[2]*b[3]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/847288609443 + 
  (545259520*f[a[1]*b[4]*c[1]]^2*f[a[1]^2*b[1]*c[3]])/3486784401 - 
  (6684800*f[1]*f[b[5]*c[1]]*f[a[1]^2*b[1]*c[3]])/129140163 + 
  (239315840*f[a[1]^2]*f[b[5]*c[1]]*f[a[1]^2*b[1]*c[3]])/1162261467 - 
  (7012355200*f[a[1]^4]*f[b[5]*c[1]]*f[a[1]^2*b[1]*c[3]])/31381059609 + 
  (260874320000*f[a[1]^6]*f[b[5]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   847288609443 + (10430961920*f[a[2]^2]*f[b[5]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/94143178827 + 
  (1238024960*f[a[1]^2*a[2]^2]*f[b[5]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   2541865828329 - (299479040*f[a[1]*a[3]]*f[b[5]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/10460353203 + 
  (26396938240*f[a[1]^3*a[3]]*f[b[5]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   282429536481 + (8023096960*f[a[3]^2]*f[b[5]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/847288609443 - 
  (117738045440*f[a[2]*a[4]]*f[b[5]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   2541865828329 + (19466137600*f[a[1]*a[5]]*f[b[5]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/847288609443 - 
  (33948800*f[b[1]*c[1]]*f[b[5]*c[1]]*f[a[1]^2*b[1]*c[3]])/1162261467 + 
  (1215367040*f[a[1]^2*b[1]*c[1]]*f[b[5]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   10460353203 - (35612291200*f[a[1]^4*b[1]*c[1]]*f[b[5]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/282429536481 + 
  (52973707520*f[a[2]^2*b[1]*c[1]]*f[b[5]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   847288609443 - (1520906240*f[a[1]*a[3]*b[1]*c[1]]*f[b[5]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/94143178827 + 
  (250316062720*f[a[1]*a[2]*b[2]*c[1]]*f[b[5]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/2541865828329 - 
  (1468006400*f[b[3]*c[1]]*f[b[5]*c[1]]*f[a[1]^2*b[1]*c[3]])/
   31381059609 + (52554629120*f[a[1]^2*b[3]*c[1]]*f[b[5]*c[1]]*
     f[a[1]^2*b[1]*c[3]])/282429536481 - 
  (9306112000*f[b[5]*c[1]]^2*f[a[1]^2*b[1]*c[3]])/847288609443 + 
  (6553600*f[a[1]*a[2]]*f[b[1]*c[2]]*f[a[1]^2*b[1]*c[3]])/129140163 - 
  (32768000*f[a[1]^3*a[2]]*f[b[1]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   1162261467 - (6553600*f[a[2]*a[3]]*f[b[1]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/1162261467 - 
  (26214400*f[a[1]*a[4]]*f[b[1]*c[2]]*f[a[1]^2*b[1]*c[3]])/1162261467 + 
  (6553600*f[a[1]*a[2]*b[1]*c[1]]*f[b[1]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   129140163 + (2048000*f[b[2]*c[1]]*f[b[1]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   43046721 - (73318400*f[a[1]^2*b[2]*c[1]]*f[b[1]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/387420489 + 
  (45056000*f[b[4]*c[1]]*f[b[1]*c[2]]*f[a[1]^2*b[1]*c[3]])/1162261467 + 
  (7577600*f[a[2]]*f[a[1]*b[1]*c[2]]*f[a[1]^2*b[1]*c[3]])/129140163 + 
  (22323200*f[a[1]^2*a[2]]*f[a[1]*b[1]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   1162261467 - (859136000*f[a[1]^4*a[2]]*f[a[1]*b[1]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/31381059609 - 
  (1086668800*f[a[2]^3]*f[a[1]*b[1]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   31381059609 + (45875200*f[a[1]*a[2]*a[3]]*f[a[1]*b[1]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/10460353203 - 
  (30310400*f[a[4]]*f[a[1]*b[1]*c[2]]*f[a[1]^2*b[1]*c[3]])/1162261467 - 
  (89292800*f[a[1]^2*a[4]]*f[a[1]*b[1]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   10460353203 + (189440000*f[a[6]]*f[a[1]*b[1]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/10460353203 + 
  (7577600*f[a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   129140163 + (22323200*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/1162261467 - 
  (30310400*f[a[4]*b[1]*c[1]]*f[a[1]*b[1]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   1162261467 - (6553600*f[a[1]*b[2]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/43046721 - 
  (2470707200*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/10460353203 + 
  (6553600*f[a[3]*b[2]*c[1]]*f[a[1]*b[1]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   387420489 - (8923381760*f[a[2]*b[3]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/94143178827 - 
  (144179200*f[a[1]*b[4]*c[1]]*f[a[1]*b[1]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   1162261467 - (73318400*f[b[2]*c[1]]*f[a[1]^2*b[1]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/387420489 - 
  (3408281600*f[a[1]^2*b[2]*c[1]]*f[a[1]^2*b[1]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/10460353203 - 
  (1613004800*f[b[4]*c[1]]*f[a[1]^2*b[1]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   10460353203 - (142745600*f[a[2]]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/1162261467 - 
  (2641715200*f[a[1]^2*a[2]]*f[a[1]^3*b[1]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   31381059609 - (17416806400*f[a[1]^4*a[2]]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/847288609443 + 
  (161213235200*f[a[2]^3]*f[a[1]^3*b[1]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   847288609443 - (1212416000*f[a[1]*a[2]*a[3]]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/282429536481 + 
  (570982400*f[a[4]]*f[a[1]^3*b[1]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   10460353203 + (10566860800*f[a[1]^2*a[4]]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/282429536481 - 
  (3568640000*f[a[6]]*f[a[1]^3*b[1]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   94143178827 - (142745600*f[a[2]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/1162261467 - 
  (2641715200*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/31381059609 + 
  (570982400*f[a[4]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/10460353203 - 
  (2470707200*f[a[1]*b[2]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/10460353203 - 
  (217953075200*f[a[1]^3*b[2]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/282429536481 + 
  (2470707200*f[a[3]*b[2]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/94143178827 + 
  (168097218560*f[a[2]*b[3]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/847288609443 - 
  (54355558400*f[a[1]*b[4]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/282429536481 - 
  (7577600*f[a[1]]*f[a[2]*b[1]*c[2]]*f[a[1]^2*b[1]*c[3]])/129140163 + 
  (142745600*f[a[1]^3]*f[a[2]*b[1]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   1162261467 - (2063360000*f[a[1]^5]*f[a[2]*b[1]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/10460353203 - 
  (8979660800*f[a[1]*a[2]^2]*f[a[2]*b[1]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   94143178827 - (8806400*f[a[3]]*f[a[2]*b[1]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/1162261467 + 
  (307404800*f[a[1]^2*a[3]]*f[a[2]*b[1]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   10460353203 + (80896000*f[a[5]]*f[a[2]*b[1]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/94143178827 - 
  (7577600*f[a[1]*b[1]*c[1]]*f[a[2]*b[1]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   129140163 + (142745600*f[a[1]^3*b[1]*c[1]]*f[a[2]*b[1]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/1162261467 - 
  (8806400*f[a[3]*b[1]*c[1]]*f[a[2]*b[1]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   1162261467 + (1782579200*f[a[2]*b[2]*c[1]]*f[a[2]*b[1]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/31381059609 + 
  (8923381760*f[a[1]*b[3]*c[1]]*f[a[2]*b[1]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   94143178827 - (6553600*f[1]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/129140163 + 
  (6874726400*f[a[1]^4]*f[a[1]*a[2]*b[1]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   31381059609 - (511508480000*f[a[1]^6]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/847288609443 - 
  (8794931200*f[a[2]^2]*f[a[1]*a[2]*b[1]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   94143178827 - (57776537600*f[a[1]^2*a[2]^2]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/847288609443 + 
  (45875200*f[a[1]*a[3]]*f[a[1]*a[2]*b[1]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   1162261467 + (12890931200*f[a[1]^3*a[3]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/282429536481 - 
  (2739404800*f[a[3]^2]*f[a[1]*a[2]*b[1]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   847288609443 + (50751078400*f[a[2]*a[4]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/2541865828329 - 
  (1409024000*f[a[1]*a[5]]*f[a[1]*a[2]*b[1]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   94143178827 - (6553600*f[b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/129140163 + 
  (6874726400*f[a[1]^4*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/31381059609 - 
  (8794931200*f[a[2]^2*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/94143178827 + 
  (45875200*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/1162261467 + 
  (73819750400*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/847288609443 + 
  (7717519360*f[b[3]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   94143178827 + (58720256000*f[b[5]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/2541865828329 + 
  (8806400*f[a[2]]*f[a[3]*b[1]*c[2]]*f[a[1]^2*b[1]*c[3]])/1162261467 - 
  (202956800*f[a[1]^2*a[2]]*f[a[3]*b[1]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   3486784401 + (18045952000*f[a[1]^4*a[2]]*f[a[3]*b[1]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/282429536481 - 
  (8159641600*f[a[2]^3]*f[a[3]*b[1]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   94143178827 + (73302016000*f[a[1]*a[2]*a[3]]*f[a[3]*b[1]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/847288609443 + 
  (226918400*f[a[4]]*f[a[3]*b[1]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   10460353203 - (6949273600*f[a[1]^2*a[4]]*f[a[3]*b[1]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/94143178827 - 
  (7980032000*f[a[6]]*f[a[3]*b[1]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   847288609443 + (8806400*f[a[2]*b[1]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/1162261467 - 
  (202956800*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/3486784401 + 
  (226918400*f[a[4]*b[1]*c[1]]*f[a[3]*b[1]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   10460353203 + (6553600*f[a[1]*b[2]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/387420489 + 
  (2470707200*f[a[1]^3*b[2]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/94143178827 + 
  (20440678400*f[a[3]*b[2]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/282429536481 - 
  (10370416640*f[a[2]*b[3]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/847288609443 + 
  (144179200*f[a[1]*b[4]*c[1]]*f[a[3]*b[1]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   10460353203 - (106400*f[1]*f[b[2]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   1594323 + (3809120*f[a[1]^2]*f[b[2]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   14348907 - (111613600*f[a[1]^4]*f[b[2]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   387420489 + (4152260000*f[a[1]^6]*f[b[2]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   10460353203 + (166026560*f[a[2]^2]*f[b[2]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/1162261467 + 
  (19705280*f[a[1]^2*a[2]^2]*f[b[2]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   31381059609 - (4766720*f[a[1]*a[3]]*f[b[2]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/129140163 + 
  (420152320*f[a[1]^3*a[3]]*f[b[2]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   3486784401 + (127701280*f[a[3]^2]*f[b[2]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   10460353203 - (1874001920*f[a[2]*a[4]]*f[b[2]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/31381059609 + 
  (309836800*f[a[1]*a[5]]*f[b[2]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   10460353203 - (4967200*f[b[1]*c[1]]*f[b[2]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/129140163 + 
  (177825760*f[a[1]^2*b[1]*c[1]]*f[b[2]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   1162261467 - (5210592800*f[a[1]^4*b[1]*c[1]]*f[b[2]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/31381059609 + 
  (7750818880*f[a[2]^2*b[1]*c[1]]*f[b[2]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   94143178827 - (222530560*f[a[1]*a[3]*b[1]*c[1]]*f[b[2]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/10460353203 + 
  (333971456*f[a[1]*a[2]*b[2]*c[1]]*f[b[2]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   3486784401 - (176901760*f[b[3]*c[1]]*f[b[2]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/3486784401 + 
  (6333083008*f[a[1]^2*b[3]*c[1]]*f[b[2]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   31381059609 - (802883200*f[b[5]*c[1]]*f[b[2]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/31381059609 - 
  (2601779200*f[a[1]*a[2]*b[1]*c[2]]*f[b[2]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   31381059609 + (20802800*f[b[2]*c[2]]^2*f[a[1]^2*b[1]*c[3]])/
   387420489 + (340480*f[a[1]]*f[a[1]*b[2]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   1594323 + (128360960*f[a[1]^3]*f[a[1]*b[2]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/387420489 - 
  (7567168000*f[a[1]^5]*f[a[1]*b[2]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   10460353203 - (2072161280*f[a[1]*a[2]^2]*f[a[1]*b[2]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/31381059609 - 
  (340480*f[a[3]]*f[a[1]*b[2]*c[2]]*f[a[1]^2*b[1]*c[3]])/14348907 + 
  (37112320*f[a[1]^2*a[3]]*f[a[1]*b[2]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   3486784401 + (22131200*f[a[5]]*f[a[1]*b[2]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/1162261467 + 
  (15895040*f[a[1]*b[1]*c[1]]*f[a[1]*b[2]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   129140163 + (5992430080*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[2]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/31381059609 - 
  (15895040*f[a[3]*b[1]*c[1]]*f[a[1]*b[2]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   1162261467 + (386154496*f[a[2]*b[2]*c[1]]*f[a[1]*b[2]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/3486784401 + 
  (566085632*f[a[1]*b[3]*c[1]]*f[a[1]*b[2]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   3486784401 - (3008307200*f[a[2]*b[1]*c[2]]*f[a[1]*b[2]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/31381059609 - 
  (66568960*f[a[1]*b[2]*c[2]]^2*f[a[1]^2*b[1]*c[3]])/387420489 + 
  (3809120*f[1]*f[a[1]^2*b[2]*c[2]]*f[a[1]^2*b[1]*c[3]])/14348907 + 
  (177070880*f[a[1]^2]*f[a[1]^2*b[2]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   387420489 + (5559038240*f[a[1]^4]*f[a[1]^2*b[2]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/10460353203 - 
  (207758236000*f[a[1]^6]*f[a[1]^2*b[2]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   94143178827 - (12008772160*f[a[2]^2]*f[a[1]^2*b[2]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/31381059609 - 
  (24191487040*f[a[1]^2*a[2]^2]*f[a[1]^2*b[2]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/282429536481 - 
  (74224640*f[a[1]*a[3]]*f[a[1]^2*b[2]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   3486784401 + (8783703040*f[a[1]^3*a[3]]*f[a[1]^2*b[2]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/94143178827 - 
  (2813194720*f[a[3]^2]*f[a[1]^2*b[2]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   94143178827 + (14599782400*f[a[2]*a[4]]*f[a[1]^2*b[2]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/94143178827 + 
  (4824601600*f[a[1]*a[5]]*f[a[1]^2*b[2]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   282429536481 + (177825760*f[b[1]*c[1]]*f[a[1]^2*b[2]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/1162261467 + 
  (8266414240*f[a[1]^2*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/31381059609 + 
  (259519311520*f[a[1]^4*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/847288609443 - 
  (560620047680*f[a[2]^2*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/2541865828329 - 
  (3465118720*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/282429536481 + 
  (6333083008*f[b[3]*c[1]]*f[a[1]^2*b[2]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   31381059609 + (294399908992*f[a[1]^2*b[3]*c[1]]*f[a[1]^2*b[2]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/847288609443 + 
  (28743218560*f[b[5]*c[1]]*f[a[1]^2*b[2]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   282429536481 - (1489480480*f[b[2]*c[2]]*f[a[1]^2*b[2]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/3486784401 - 
  (34620019760*f[a[1]^2*b[2]*c[2]]^2*f[a[1]^2*b[1]*c[3]])/94143178827 - 
  (92610560*f[a[2]]*f[a[2]*b[2]*c[2]]*f[a[1]^2*b[1]*c[3]])/1162261467 - 
  (2326159360*f[a[1]^2*a[2]]*f[a[2]*b[2]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   31381059609 + (8525619200*f[a[1]^4*a[2]]*f[a[2]*b[2]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/94143178827 - 
  (15678423040*f[a[2]^3]*f[a[2]*b[2]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   31381059609 + (14817689600*f[a[1]*a[2]*a[3]]*f[a[2]*b[2]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/94143178827 + 
  (1982955520*f[a[4]]*f[a[2]*b[2]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   31381059609 - (7299891200*f[a[1]^2*a[4]]*f[a[2]*b[2]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/94143178827 - 
  (4058521600*f[a[6]]*f[a[2]*b[2]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   94143178827 - (4323450880*f[a[2]*b[1]*c[1]]*f[a[2]*b[2]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/94143178827 - 
  (108594913280*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[2]*b[2]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/2541865828329 + 
  (92572712960*f[a[4]*b[1]*c[1]]*f[a[2]*b[2]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/2541865828329 - 
  (386154496*f[a[1]*b[2]*c[1]]*f[a[2]*b[2]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   3486784401 + (7274315776*f[a[1]^3*b[2]*c[1]]*f[a[2]*b[2]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/31381059609 - 
  (448774144*f[a[3]*b[2]*c[1]]*f[a[2]*b[2]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   31381059609 - (153975291904*f[a[2]*b[3]*c[1]]*f[a[2]*b[2]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/2541865828329 - 
  (514349301760*f[a[1]*b[4]*c[1]]*f[a[2]*b[2]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/2541865828329 + 
  (3008307200*f[a[1]*b[1]*c[2]]*f[a[2]*b[2]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   31381059609 - (56670003200*f[a[1]^3*b[1]*c[2]]*f[a[2]*b[2]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/282429536481 + 
  (3496140800*f[a[3]*b[1]*c[2]]*f[a[2]*b[2]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   282429536481 + (18106757120*f[a[2]*b[2]*c[2]]^2*f[a[1]^2*b[1]*c[3]])/
   282429536481 - (1440481280*f[a[1]*a[2]]*f[b[3]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/3486784401 + 
  (7202406400*f[a[1]^3*a[2]]*f[b[3]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   31381059609 + (1440481280*f[a[2]*a[3]]*f[b[3]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/31381059609 + 
  (5761925120*f[a[1]*a[4]]*f[b[3]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   31381059609 - (28155576320*f[a[1]*a[2]*b[1]*c[1]]*f[b[3]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/94143178827 - 
  (104120320*f[b[2]*c[1]]*f[b[3]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   1162261467 + (3727507456*f[a[1]^2*b[2]*c[1]]*f[b[3]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/10460353203 - 
  (2551808000*f[b[4]*c[1]]*f[b[3]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   94143178827 - (118784000*f[b[1]*c[2]]*f[b[3]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/3486784401 + 
  (4252467200*f[a[1]^2*b[1]*c[2]]*f[b[3]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   31381059609 + (451379200*f[b[3]*c[2]]^2*f[a[1]^2*b[1]*c[3]])/
   10460353203 - (1665556480*f[a[2]]*f[a[1]*b[3]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/3486784401 - 
  (4906639360*f[a[1]^2*a[2]]*f[a[1]*b[3]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   31381059609 + (188838092800*f[a[1]^4*a[2]]*f[a[1]*b[3]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/847288609443 + 
  (238849802240*f[a[2]^3]*f[a[1]*b[3]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   847288609443 - (10083368960*f[a[1]*a[2]*a[3]]*f[a[1]*b[3]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/282429536481 + 
  (6662225920*f[a[4]]*f[a[1]*b[3]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   31381059609 + (19626557440*f[a[1]^2*a[4]]*f[a[1]*b[3]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/282429536481 - 
  (41638912000*f[a[6]]*f[a[1]*b[3]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   282429536481 - (32554885120*f[a[2]*b[1]*c[1]]*f[a[1]*b[3]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/94143178827 - 
  (95904931840*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[3]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/847288609443 + 
  (130219540480*f[a[4]*b[1]*c[1]]*f[a[1]*b[3]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/847288609443 + 
  (333185024*f[a[1]*b[2]*c[1]]*f[a[1]*b[3]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   1162261467 + (125610754048*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[3]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/282429536481 - 
  (333185024*f[a[3]*b[2]*c[1]]*f[a[1]*b[3]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   10460353203 + (1008730112*f[a[2]*b[3]*c[1]]*f[a[1]*b[3]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/31381059609 + 
  (8165785600*f[a[1]*b[4]*c[1]]*f[a[1]*b[3]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   94143178827 + (380108800*f[a[1]*b[1]*c[2]]*f[a[1]*b[3]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/3486784401 + 
  (143301017600*f[a[1]^3*b[1]*c[2]]*f[a[1]*b[3]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/847288609443 - 
  (380108800*f[a[3]*b[1]*c[2]]*f[a[1]*b[3]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   31381059609 + (81354629120*f[a[2]*b[2]*c[2]]*f[a[1]*b[3]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/847288609443 - 
  (1444413440*f[a[1]*b[3]*c[2]]^2*f[a[1]^2*b[1]*c[3]])/10460353203 - 
  (17216000*f[1]*f[b[4]*c[2]]*f[a[1]^2*b[1]*c[3]])/129140163 + 
  (616332800*f[a[1]^2]*f[b[4]*c[2]]*f[a[1]^2*b[1]*c[3]])/1162261467 - 
  (18059584000*f[a[1]^4]*f[b[4]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   31381059609 + (671854400000*f[a[1]^6]*f[b[4]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/847288609443 + 
  (26863846400*f[a[2]^2]*f[b[4]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   94143178827 + (3188403200*f[a[1]^2*a[2]^2]*f[b[4]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/2541865828329 - 
  (771276800*f[a[1]*a[3]]*f[b[4]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   10460353203 + (67982540800*f[a[1]^3*a[3]]*f[b[4]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/282429536481 + 
  (20662643200*f[a[3]^2]*f[b[4]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   847288609443 - (303221964800*f[a[2]*a[4]]*f[b[4]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/2541865828329 + 
  (50132992000*f[a[1]*a[5]]*f[b[4]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   847288609443 - (113984000*f[b[1]*c[1]]*f[b[4]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/1162261467 + 
  (4080627200*f[a[1]^2*b[1]*c[1]]*f[b[4]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   10460353203 - (119569216000*f[a[1]^4*b[1]*c[1]]*f[b[4]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/282429536481 + 
  (177860633600*f[a[2]^2*b[1]*c[1]]*f[b[4]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   847288609443 - (5106483200*f[a[1]*a[3]*b[1]*c[1]]*f[b[4]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/94143178827 - 
  (238236467200*f[a[1]*a[2]*b[2]*c[1]]*f[b[4]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/847288609443 + 
  (1669529600*f[b[3]*c[1]]*f[b[4]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   94143178827 - (59769159680*f[a[1]^2*b[3]*c[1]]*f[b[4]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/847288609443 - 
  (23060480000*f[b[5]*c[1]]*f[b[4]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   2541865828329 - (92274688000*f[a[1]*a[2]*b[1]*c[2]]*f[b[4]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/847288609443 + 
  (2086336000*f[b[2]*c[2]]*f[b[4]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   31381059609 - (74690828800*f[a[1]^2*b[2]*c[2]]*f[b[4]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/282429536481 - 
  (4505600000*f[b[4]*c[2]]^2*f[a[1]^2*b[1]*c[3]])/847288609443 - 
  (1109600*f[1]*f[b[1]*b[2]*c[1]*c[2]]*f[a[1]^2*b[1]*c[3]])/43046721 + 
  (39723680*f[a[1]^2]*f[b[1]*b[2]*c[1]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   387420489 - (1163970400*f[a[1]^4]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/10460353203 + 
  (43302140000*f[a[1]^6]*f[b[1]*b[2]*c[1]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   282429536481 + (1731419840*f[a[2]^2]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/31381059609 + 
  (205497920*f[a[1]^2*a[2]^2]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/847288609443 - 
  (49710080*f[a[1]*a[3]]*f[b[1]*b[2]*c[1]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   3486784401 + (4381588480*f[a[1]^3*a[3]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/94143178827 + 
  (1331741920*f[a[3]^2]*f[b[1]*b[2]*c[1]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   282429536481 - (19543162880*f[a[2]*a[4]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/847288609443 + 
  (3231155200*f[a[1]*a[5]]*f[b[1]*b[2]*c[1]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   282429536481 + (322400*f[b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/129140163 - 
  (11541920*f[a[1]^2*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/1162261467 + 
  (338197600*f[a[1]^4*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/31381059609 - 
  (503072960*f[a[2]^2*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/94143178827 + 
  (14443520*f[a[1]*a[3]*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/10460353203 + 
  (348020801536*f[a[1]*a[2]*b[2]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/2541865828329 - 
  (723601280*f[b[3]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   94143178827 + (25904925824*f[a[1]^2*b[3]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]]*f[a[1]^2*b[1]*c[3]])/847288609443 - 
  (49802972800*f[b[5]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/2541865828329 - 
  (2601779200*f[a[1]*a[2]*b[1]*c[2]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[1]^2*b[1]*c[3]])/31381059609 + 
  (2380412000*f[b[2]*c[2]]*f[b[1]*b[2]*c[1]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   31381059609 - (85218749600*f[a[1]^2*b[2]*c[2]]*
     f[b[1]*b[2]*c[1]*c[2]]*f[a[1]^2*b[1]*c[3]])/282429536481 + 
  (6202304000*f[b[4]*c[2]]*f[b[1]*b[2]*c[1]*c[2]]*f[a[1]^2*b[1]*c[3]])/
   282429536481 + (695385200*f[b[1]*b[2]*c[1]*c[2]]^2*
     f[a[1]^2*b[1]*c[3]])/31381059609 - 
  (16000*f[1]*f[b[1]*c[3]]*f[a[1]^2*b[1]*c[3]])/1594323 + 
  (572800*f[a[1]^2]*f[b[1]*c[3]]*f[a[1]^2*b[1]*c[3]])/14348907 - 
  (16784000*f[a[1]^4]*f[b[1]*c[3]]*f[a[1]^2*b[1]*c[3]])/387420489 + 
  (624400000*f[a[1]^6]*f[b[1]*c[3]]*f[a[1]^2*b[1]*c[3]])/10460353203 + 
  (24966400*f[a[2]^2]*f[b[1]*c[3]]*f[a[1]^2*b[1]*c[3]])/1162261467 + 
  (2963200*f[a[1]^2*a[2]^2]*f[b[1]*c[3]]*f[a[1]^2*b[1]*c[3]])/
   31381059609 - (716800*f[a[1]*a[3]]*f[b[1]*c[3]]*
     f[a[1]^2*b[1]*c[3]])/129140163 + 
  (63180800*f[a[1]^3*a[3]]*f[b[1]*c[3]]*f[a[1]^2*b[1]*c[3]])/
   3486784401 + (19203200*f[a[3]^2]*f[b[1]*c[3]]*f[a[1]^2*b[1]*c[3]])/
   10460353203 - (281804800*f[a[2]*a[4]]*f[b[1]*c[3]]*
     f[a[1]^2*b[1]*c[3]])/31381059609 + 
  (46592000*f[a[1]*a[5]]*f[b[1]*c[3]]*f[a[1]^2*b[1]*c[3]])/
   10460353203 - (16000*f[b[1]*c[1]]*f[b[1]*c[3]]*f[a[1]^2*b[1]*c[3]])/
   1594323 + (572800*f[a[1]^2*b[1]*c[1]]*f[b[1]*c[3]]*
     f[a[1]^2*b[1]*c[3]])/14348907 - 
  (16784000*f[a[1]^4*b[1]*c[1]]*f[b[1]*c[3]]*f[a[1]^2*b[1]*c[3]])/
   387420489 + (24966400*f[a[2]^2*b[1]*c[1]]*f[b[1]*c[3]]*
     f[a[1]^2*b[1]*c[3]])/1162261467 - 
  (716800*f[a[1]*a[3]*b[1]*c[1]]*f[b[1]*c[3]]*f[a[1]^2*b[1]*c[3]])/
   129140163 - (52428800*f[b[3]*c[1]]*f[b[1]*c[3]]*
     f[a[1]^2*b[1]*c[3]])/1162261467 + 
  (1876951040*f[a[1]^2*b[3]*c[1]]*f[b[1]*c[3]]*f[a[1]^2*b[1]*c[3]])/
   10460353203 - (262144000*f[b[5]*c[1]]*f[b[1]*c[3]]*
     f[a[1]^2*b[1]*c[3]])/31381059609 - 
  (8816000*f[b[2]*c[2]]*f[b[1]*c[3]]*f[a[1]^2*b[1]*c[3]])/1162261467 + 
  (315612800*f[a[1]^2*b[2]*c[2]]*f[b[1]*c[3]]*f[a[1]^2*b[1]*c[3]])/
   10460353203 - (450560000*f[b[4]*c[2]]*f[b[1]*c[3]]*
     f[a[1]^2*b[1]*c[3]])/31381059609 - 
  (8816000*f[b[1]*b[2]*c[1]*c[2]]*f[b[1]*c[3]]*f[a[1]^2*b[1]*c[3]])/
   1162261467 + (51200*f[a[1]]*f[a[1]*b[1]*c[3]]*f[a[1]^2*b[1]*c[3]])/
   1594323 + (19302400*f[a[1]^3]*f[a[1]*b[1]*c[3]]*
     f[a[1]^2*b[1]*c[3]])/387420489 - 
  (1137920000*f[a[1]^5]*f[a[1]*b[1]*c[3]]*f[a[1]^2*b[1]*c[3]])/
   10460353203 - (311603200*f[a[1]*a[2]^2]*f[a[1]*b[1]*c[3]]*
     f[a[1]^2*b[1]*c[3]])/31381059609 - 
  (51200*f[a[3]]*f[a[1]*b[1]*c[3]]*f[a[1]^2*b[1]*c[3]])/14348907 + 
  (5580800*f[a[1]^2*a[3]]*f[a[1]*b[1]*c[3]]*f[a[1]^2*b[1]*c[3]])/
   3486784401 + (3328000*f[a[5]]*f[a[1]*b[1]*c[3]]*
     f[a[1]^2*b[1]*c[3]])/1162261467 + 
  (51200*f[a[1]*b[1]*c[1]]*f[a[1]*b[1]*c[3]]*f[a[1]^2*b[1]*c[3]])/
   1594323 + (19302400*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[1]*c[3]]*
     f[a[1]^2*b[1]*c[3]])/387420489 - 
  (51200*f[a[3]*b[1]*c[1]]*f[a[1]*b[1]*c[3]]*f[a[1]^2*b[1]*c[3]])/
   14348907 + (167772160*f[a[1]*b[3]*c[1]]*f[a[1]*b[1]*c[3]]*
     f[a[1]^2*b[1]*c[3]])/1162261467 + 
  (28211200*f[a[1]*b[2]*c[2]]*f[a[1]*b[1]*c[3]]*f[a[1]^2*b[1]*c[3]])/
   1162261467 + (286400*f[1]*f[a[1]^2*b[1]*c[3]]^2)/14348907 + 
  (13313600*f[a[1]^2]*f[a[1]^2*b[1]*c[3]]^2)/387420489 + 
  (417972800*f[a[1]^4]*f[a[1]^2*b[1]*c[3]]^2)/10460353203 - 
  (15620920000*f[a[1]^6]*f[a[1]^2*b[1]*c[3]]^2)/94143178827 - 
  (902915200*f[a[2]^2]*f[a[1]^2*b[1]*c[3]]^2)/31381059609 - 
  (1818908800*f[a[1]^2*a[2]^2]*f[a[1]^2*b[1]*c[3]]^2)/282429536481 - 
  (5580800*f[a[1]*a[3]]*f[a[1]^2*b[1]*c[3]]^2)/3486784401 + 
  (660428800*f[a[1]^3*a[3]]*f[a[1]^2*b[1]*c[3]]^2)/94143178827 - 
  (211518400*f[a[3]^2]*f[a[1]^2*b[1]*c[3]]^2)/94143178827 + 
  (1097728000*f[a[2]*a[4]]*f[a[1]^2*b[1]*c[3]]^2)/94143178827 + 
  (362752000*f[a[1]*a[5]]*f[a[1]^2*b[1]*c[3]]^2)/282429536481 + 
  (286400*f[b[1]*c[1]]*f[a[1]^2*b[1]*c[3]]^2)/14348907 + 
  (13313600*f[a[1]^2*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]]^2)/387420489 + 
  (417972800*f[a[1]^4*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]]^2)/10460353203 - 
  (902915200*f[a[2]^2*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]]^2)/31381059609 - 
  (5580800*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]]^2)/3486784401 + 
  (938475520*f[b[3]*c[1]]*f[a[1]^2*b[1]*c[3]]^2)/10460353203 + 
  (43626004480*f[a[1]^2*b[3]*c[1]]*f[a[1]^2*b[1]*c[3]]^2)/282429536481 + 
  (4692377600*f[b[5]*c[1]]*f[a[1]^2*b[1]*c[3]]^2)/282429536481 + 
  (157806400*f[b[2]*c[2]]*f[a[1]^2*b[1]*c[3]]^2)/10460353203 + 
  (7335793600*f[a[1]^2*b[2]*c[2]]*f[a[1]^2*b[1]*c[3]]^2)/282429536481 + 
  (8065024000*f[b[4]*c[2]]*f[a[1]^2*b[1]*c[3]]^2)/282429536481 + 
  (157806400*f[b[1]*b[2]*c[1]*c[2]]*f[a[1]^2*b[1]*c[3]]^2)/10460353203 - 
  (40960*f[1]*f[a[2]]*f[a[2]*b[1]*c[3]])/59049 - 
  (696320*f[a[1]^2]*f[a[2]]*f[a[2]*b[1]*c[3]])/4782969 + 
  (10035200*f[a[1]^4]*f[a[2]]*f[a[2]*b[1]*c[3]])/43046721 - 
  (5120000*f[a[1]^6]*f[a[2]]*f[a[2]*b[1]*c[3]])/14348907 - 
  (1310720*f[a[1]]*f[a[1]*a[2]]*f[a[2]*b[1]*c[3]])/4782969 - 
  (14417920*f[a[1]^3]*f[a[1]*a[2]]*f[a[2]*b[1]*c[3]])/43046721 + 
  (32768000*f[a[1]^5]*f[a[1]*a[2]]*f[a[2]*b[1]*c[3]])/43046721 + 
  (204800*f[1]*f[a[1]^2*a[2]]*f[a[2]*b[1]*c[3]])/1594323 - 
  (17489920*f[a[1]^2]*f[a[1]^2*a[2]]*f[a[2]*b[1]*c[3]])/129140163 - 
  (1182638080*f[a[1]^4]*f[a[1]^2*a[2]]*f[a[2]*b[1]*c[3]])/1162261467 + 
  (31624192000*f[a[1]^6]*f[a[1]^2*a[2]]*f[a[2]*b[1]*c[3]])/
   10460353203 + (6553600*f[a[1]]*f[a[1]^3*a[2]]*f[a[2]*b[1]*c[3]])/
   43046721 + (72089600*f[a[1]^3]*f[a[1]^3*a[2]]*f[a[2]*b[1]*c[3]])/
   387420489 - (120645222400*f[a[1]^5]*f[a[1]^3*a[2]]*
     f[a[2]*b[1]*c[3]])/31381059609 - 
  (1024000*f[1]*f[a[1]^4*a[2]]*f[a[2]*b[1]*c[3]])/14348907 + 
  (64102400*f[a[1]^2]*f[a[1]^4*a[2]]*f[a[2]*b[1]*c[3]])/387420489 + 
  (56201338880*f[a[1]^4]*f[a[1]^4*a[2]]*f[a[2]*b[1]*c[3]])/
   31381059609 - (4911202508800*f[a[1]^6]*f[a[1]^4*a[2]]*
     f[a[2]*b[1]*c[3]])/282429536481 + 
  (81920*f[a[2]]*f[a[2]^2]*f[a[2]*b[1]*c[3]])/59049 + 
  (36945920*f[a[1]^2*a[2]]*f[a[2]^2]*f[a[2]*b[1]*c[3]])/1162261467 - 
  (1862451200*f[a[1]^4*a[2]]*f[a[2]^2]*f[a[2]*b[1]*c[3]])/10460353203 + 
  (972554240*f[a[1]*a[2]]*f[a[1]*a[2]^2]*f[a[2]*b[1]*c[3]])/
   1162261467 + (6886522880*f[a[1]^3*a[2]]*f[a[1]*a[2]^2]*
     f[a[2]*b[1]*c[3]])/31381059609 - 
  (332677120*f[a[2]]*f[a[1]^2*a[2]^2]*f[a[2]*b[1]*c[3]])/1162261467 + 
  (84220559360*f[a[1]^2*a[2]]*f[a[1]^2*a[2]^2]*f[a[2]*b[1]*c[3]])/
   94143178827 + (900732108800*f[a[1]^4*a[2]]*f[a[1]^2*a[2]^2]*
     f[a[2]*b[1]*c[3]])/847288609443 - 
  (1064960*f[1]*f[a[2]^3]*f[a[2]*b[1]*c[3]])/4782969 - 
  (117882880*f[a[1]^2]*f[a[2]^3]*f[a[2]*b[1]*c[3]])/129140163 + 
  (11072389120*f[a[1]^4]*f[a[2]^3]*f[a[2]*b[1]*c[3]])/31381059609 + 
  (127035392000*f[a[1]^6]*f[a[2]^3]*f[a[2]*b[1]*c[3]])/282429536481 - 
  (4851138560*f[a[2]^2]*f[a[2]^3]*f[a[2]*b[1]*c[3]])/1162261467 + 
  (779714560*f[a[1]^2*a[2]^2]*f[a[2]^3]*f[a[2]*b[1]*c[3]])/1162261467 + 
  (1310720*f[a[1]*a[2]]*f[a[3]]*f[a[2]*b[1]*c[3]])/4782969 - 
  (6553600*f[a[1]^3*a[2]]*f[a[3]]*f[a[2]*b[1]*c[3]])/43046721 - 
  (2621440*f[a[2]]*f[a[1]*a[3]]*f[a[2]*b[1]*c[3]])/4782969 + 
  (474480640*f[a[1]^2*a[2]]*f[a[1]*a[3]]*f[a[2]*b[1]*c[3]])/
   1162261467 - (4154982400*f[a[1]^4*a[2]]*f[a[1]*a[3]]*
     f[a[2]*b[1]*c[3]])/10460353203 - 
  (1882193920*f[a[2]^3]*f[a[1]*a[3]]*f[a[2]*b[1]*c[3]])/1162261467 - 
  (250347520*f[a[1]*a[2]]*f[a[1]^2*a[3]]*f[a[2]*b[1]*c[3]])/387420489 + 
  (9123921920*f[a[1]^3*a[2]]*f[a[1]^2*a[3]]*f[a[2]*b[1]*c[3]])/
   10460353203 + (76021760*f[a[2]]*f[a[1]^3*a[3]]*f[a[2]*b[1]*c[3]])/
   387420489 - (4076339200*f[a[1]^2*a[2]]*f[a[1]^3*a[3]]*
     f[a[2]*b[1]*c[3]])/3486784401 + 
  (227763814400*f[a[1]^4*a[2]]*f[a[1]^3*a[3]]*f[a[2]*b[1]*c[3]])/
   94143178827 - (58159267840*f[a[2]^3]*f[a[1]^3*a[3]]*
     f[a[2]*b[1]*c[3]])/94143178827 + 
  (1310720*f[a[1]]*f[a[2]*a[3]]*f[a[2]*b[1]*c[3]])/4782969 - 
  (38010880*f[a[1]^3]*f[a[2]*a[3]]*f[a[2]*b[1]*c[3]])/387420489 + 
  (425984000*f[a[1]^5]*f[a[2]*a[3]]*f[a[2]*b[1]*c[3]])/10460353203 - 
  (233308160*f[a[1]*a[2]^2]*f[a[2]*a[3]]*f[a[2]*b[1]*c[3]])/
   3486784401 - (273940480*f[a[3]]*f[a[2]*a[3]]*f[a[2]*b[1]*c[3]])/
   387420489 - (5223219200*f[a[1]^2*a[3]]*f[a[2]*a[3]]*
     f[a[2]*b[1]*c[3]])/31381059609 - 
  (1310720*f[1]*f[a[1]*a[2]*a[3]]*f[a[2]*b[1]*c[3]])/14348907 + 
  (111411200*f[a[1]^2]*f[a[1]*a[2]*a[3]]*f[a[2]*b[1]*c[3]])/387420489 - 
  (1901854720*f[a[1]^4]*f[a[1]*a[2]*a[3]]*f[a[2]*b[1]*c[3]])/
   10460353203 + (2195456000*f[a[1]^6]*f[a[1]*a[2]*a[3]]*
     f[a[2]*b[1]*c[3]])/31381059609 + 
  (2314731520*f[a[2]^2]*f[a[1]*a[2]*a[3]]*f[a[2]*b[1]*c[3]])/
   3486784401 - (112441425920*f[a[1]^2*a[2]^2]*f[a[1]*a[2]*a[3]]*
     f[a[2]*b[1]*c[3]])/282429536481 - 
  (9709813760*f[a[1]*a[3]]*f[a[1]*a[2]*a[3]]*f[a[2]*b[1]*c[3]])/
   31381059609 - (107814584320*f[a[1]^3*a[3]]*f[a[1]*a[2]*a[3]]*
     f[a[2]*b[1]*c[3]])/282429536481 - 
  (258334720*f[a[2]]*f[a[3]^2]*f[a[2]*b[1]*c[3]])/387420489 + 
  (599613440*f[a[1]^2*a[2]]*f[a[3]^2]*f[a[2]*b[1]*c[3]])/10460353203 + 
  (462233600*f[a[1]^4*a[2]]*f[a[3]^2]*f[a[2]*b[1]*c[3]])/94143178827 - 
  (82214174720*f[a[2]^3]*f[a[3]^2]*f[a[2]*b[1]*c[3]])/31381059609 + 
  (67922821120*f[a[1]*a[2]*a[3]]*f[a[3]^2]*f[a[2]*b[1]*c[3]])/
   94143178827 + (163840*f[1]*f[a[4]]*f[a[2]*b[1]*c[3]])/4782969 + 
  (14909440*f[a[1]^2]*f[a[4]]*f[a[2]*b[1]*c[3]])/129140163 - 
  (153190400*f[a[1]^4]*f[a[4]]*f[a[2]*b[1]*c[3]])/1162261467 + 
  (5795840000*f[a[1]^6]*f[a[4]]*f[a[2]*b[1]*c[3]])/31381059609 - 
  (327680*f[a[2]^2]*f[a[4]]*f[a[2]*b[1]*c[3]])/4782969 + 
  (269025280*f[a[1]^2*a[2]^2]*f[a[4]]*f[a[2]*b[1]*c[3]])/10460353203 - 
  (262144000*f[a[1]*a[3]]*f[a[4]]*f[a[2]*b[1]*c[3]])/1162261467 + 
  (1814036480*f[a[1]^3*a[3]]*f[a[4]]*f[a[2]*b[1]*c[3]])/10460353203 - 
  (34827960320*f[a[3]^2]*f[a[4]]*f[a[2]*b[1]*c[3]])/31381059609 - 
  (5242880*f[a[1]]*f[a[1]*a[4]]*f[a[2]*b[1]*c[3]])/129140163 + 
  (277872640*f[a[1]^3]*f[a[1]*a[4]]*f[a[2]*b[1]*c[3]])/1162261467 - 
  (13238272000*f[a[1]^5]*f[a[1]*a[4]]*f[a[2]*b[1]*c[3]])/31381059609 - 
  (15172894720*f[a[1]*a[2]^2]*f[a[1]*a[4]]*f[a[2]*b[1]*c[3]])/
   94143178827 + (382730240*f[a[3]]*f[a[1]*a[4]]*f[a[2]*b[1]*c[3]])/
   1162261467 - (3685744640*f[a[1]^2*a[3]]*f[a[1]*a[4]]*
     f[a[2]*b[1]*c[3]])/10460353203 - 
  (819200*f[1]*f[a[1]^2*a[4]]*f[a[2]*b[1]*c[3]])/129140163 - 
  (54886400*f[a[1]^2]*f[a[1]^2*a[4]]*f[a[2]*b[1]*c[3]])/387420489 + 
  (21066383360*f[a[1]^4]*f[a[1]^2*a[4]]*f[a[2]*b[1]*c[3]])/
   31381059609 - (1394225152000*f[a[1]^6]*f[a[1]^2*a[4]]*
     f[a[2]*b[1]*c[3]])/847288609443 - 
  (147783680*f[a[2]^2]*f[a[1]^2*a[4]]*f[a[2]*b[1]*c[3]])/94143178827 - 
  (241768529920*f[a[1]^2*a[2]^2]*f[a[1]^2*a[4]]*f[a[2]*b[1]*c[3]])/
   847288609443 + (4603248640*f[a[1]*a[3]]*f[a[1]^2*a[4]]*
     f[a[2]*b[1]*c[3]])/10460353203 - 
  (229942231040*f[a[1]^3*a[3]]*f[a[1]^2*a[4]]*f[a[2]*b[1]*c[3]])/
   282429536481 + (100403937280*f[a[3]^2]*f[a[1]^2*a[4]]*
     f[a[2]*b[1]*c[3]])/847288609443 - 
  (1342177280*f[a[1]^2*a[2]]*f[a[2]*a[4]]*f[a[2]*b[1]*c[3]])/
   94143178827 + (13421772800*f[a[1]^4*a[2]]*f[a[2]*a[4]]*
     f[a[2]*b[1]*c[3]])/847288609443 + 
  (21474836480*f[a[2]^3]*f[a[2]*a[4]]*f[a[2]*b[1]*c[3]])/94143178827 - 
  (6710886400*f[a[1]*a[2]*a[3]]*f[a[2]*a[4]]*f[a[2]*b[1]*c[3]])/
   282429536481 + (134217728000*f[a[4]]*f[a[2]*a[4]]*
     f[a[2]*b[1]*c[3]])/94143178827 + 
  (762356695040*f[a[1]^2*a[4]]*f[a[2]*a[4]]*f[a[2]*b[1]*c[3]])/
   2541865828329 - (150732800*f[a[1]*a[2]]*f[a[5]]*f[a[2]*b[1]*c[3]])/
   1162261467 + (753664000*f[a[1]^3*a[2]]*f[a[5]]*f[a[2]*b[1]*c[3]])/
   10460353203 - (386662400*f[a[2]*a[3]]*f[a[5]]*f[a[2]*b[1]*c[3]])/
   3486784401 + (40134246400*f[a[1]*a[4]]*f[a[5]]*f[a[2]*b[1]*c[3]])/
   94143178827 + (301465600*f[a[2]]*f[a[1]*a[5]]*f[a[2]*b[1]*c[3]])/
   1162261467 - (17629184000*f[a[1]^2*a[2]]*f[a[1]*a[5]]*
     f[a[2]*b[1]*c[3]])/94143178827 + 
  (153681920000*f[a[1]^4*a[2]]*f[a[1]*a[5]]*f[a[2]*b[1]*c[3]])/
   847288609443 + (63202918400*f[a[2]^3]*f[a[1]*a[5]]*
     f[a[2]*b[1]*c[3]])/94143178827 - 
  (5557452800*f[a[1]*a[2]*a[3]]*f[a[1]*a[5]]*f[a[2]*b[1]*c[3]])/
   282429536481 - (14732492800*f[a[4]]*f[a[1]*a[5]]*f[a[2]*b[1]*c[3]])/
   31381059609 + (1488925491200*f[a[1]^2*a[4]]*f[a[1]*a[5]]*
     f[a[2]*b[1]*c[3]])/2541865828329 - 
  (450560*f[1]*f[a[6]]*f[a[2]*b[1]*c[3]])/14348907 - 
  (30515200*f[a[1]^2]*f[a[6]]*f[a[2]*b[1]*c[3]])/387420489 + 
  (105472000*f[a[1]^4]*f[a[6]]*f[a[2]*b[1]*c[3]])/1162261467 - 
  (12006400000*f[a[1]^6]*f[a[6]]*f[a[2]*b[1]*c[3]])/94143178827 + 
  (901120*f[a[2]^2]*f[a[6]]*f[a[2]*b[1]*c[3]])/14348907 - 
  (1946828800*f[a[1]^2*a[2]^2]*f[a[6]]*f[a[2]*b[1]*c[3]])/94143178827 + 
  (1821900800*f[a[1]*a[3]]*f[a[6]]*f[a[2]*b[1]*c[3]])/31381059609 - 
  (18546688000*f[a[1]^3*a[3]]*f[a[6]]*f[a[2]*b[1]*c[3]])/282429536481 + 
  (14012456960*f[a[3]^2]*f[a[6]]*f[a[2]*b[1]*c[3]])/31381059609 - 
  (10737418240*f[a[2]*a[4]]*f[a[6]]*f[a[2]*b[1]*c[3]])/282429536481 - 
  (138870784000*f[a[1]*a[5]]*f[a[6]]*f[a[2]*b[1]*c[3]])/282429536481 - 
  (204800*f[a[2]]*f[b[1]*c[1]]*f[a[2]*b[1]*c[3]])/531441 + 
  (1024000*f[a[1]^2*a[2]]*f[b[1]*c[1]]*f[a[2]*b[1]*c[3]])/14348907 - 
  (5120000*f[a[1]^4*a[2]]*f[b[1]*c[1]]*f[a[2]*b[1]*c[3]])/129140163 - 
  (5324800*f[a[2]^3]*f[b[1]*c[1]]*f[a[2]*b[1]*c[3]])/43046721 - 
  (6553600*f[a[1]*a[2]*a[3]]*f[b[1]*c[1]]*f[a[2]*b[1]*c[3]])/
   129140163 + (819200*f[a[4]]*f[b[1]*c[1]]*f[a[2]*b[1]*c[3]])/
   43046721 - (4096000*f[a[1]^2*a[4]]*f[b[1]*c[1]]*f[a[2]*b[1]*c[3]])/
   1162261467 - (2252800*f[a[6]]*f[b[1]*c[1]]*f[a[2]*b[1]*c[3]])/
   129140163 - (6553600*f[a[1]*a[2]]*f[a[1]*b[1]*c[1]]*
     f[a[2]*b[1]*c[3]])/43046721 + 
  (32768000*f[a[1]^3*a[2]]*f[a[1]*b[1]*c[1]]*f[a[2]*b[1]*c[3]])/
   387420489 + (6553600*f[a[2]*a[3]]*f[a[1]*b[1]*c[1]]*
     f[a[2]*b[1]*c[3]])/43046721 - 
  (26214400*f[a[1]*a[4]]*f[a[1]*b[1]*c[1]]*f[a[2]*b[1]*c[3]])/
   1162261467 - (3481600*f[a[2]]*f[a[1]^2*b[1]*c[1]]*
     f[a[2]*b[1]*c[3]])/43046721 - 
  (87449600*f[a[1]^2*a[2]]*f[a[1]^2*b[1]*c[1]]*f[a[2]*b[1]*c[3]])/
   1162261467 + (320512000*f[a[1]^4*a[2]]*f[a[1]^2*b[1]*c[1]]*
     f[a[2]*b[1]*c[3]])/3486784401 - 
  (589414400*f[a[2]^3]*f[a[1]^2*b[1]*c[1]]*f[a[2]*b[1]*c[3]])/
   1162261467 + (557056000*f[a[1]*a[2]*a[3]]*f[a[1]^2*b[1]*c[1]]*
     f[a[2]*b[1]*c[3]])/3486784401 + 
  (74547200*f[a[4]]*f[a[1]^2*b[1]*c[1]]*f[a[2]*b[1]*c[3]])/1162261467 - 
  (274432000*f[a[1]^2*a[4]]*f[a[1]^2*b[1]*c[1]]*f[a[2]*b[1]*c[3]])/
   3486784401 - (152576000*f[a[6]]*f[a[1]^2*b[1]*c[1]]*
     f[a[2]*b[1]*c[3]])/3486784401 - 
  (72089600*f[a[1]*a[2]]*f[a[1]^3*b[1]*c[1]]*f[a[2]*b[1]*c[3]])/
   387420489 + (360448000*f[a[1]^3*a[2]]*f[a[1]^3*b[1]*c[1]]*
     f[a[2]*b[1]*c[3]])/3486784401 - 
  (190054400*f[a[2]*a[3]]*f[a[1]^3*b[1]*c[1]]*f[a[2]*b[1]*c[3]])/
   3486784401 + (1389363200*f[a[1]*a[4]]*f[a[1]^3*b[1]*c[1]]*
     f[a[2]*b[1]*c[3]])/10460353203 + 
  (50176000*f[a[2]]*f[a[1]^4*b[1]*c[1]]*f[a[2]*b[1]*c[3]])/387420489 - 
  (5913190400*f[a[1]^2*a[2]]*f[a[1]^4*b[1]*c[1]]*f[a[2]*b[1]*c[3]])/
   10460353203 + (281006694400*f[a[1]^4*a[2]]*f[a[1]^4*b[1]*c[1]]*
     f[a[2]*b[1]*c[3]])/282429536481 + 
  (55361945600*f[a[2]^3]*f[a[1]^4*b[1]*c[1]]*f[a[2]*b[1]*c[3]])/
   282429536481 - (9509273600*f[a[1]*a[2]*a[3]]*f[a[1]^4*b[1]*c[1]]*
     f[a[2]*b[1]*c[3]])/94143178827 - 
  (765952000*f[a[4]]*f[a[1]^4*b[1]*c[1]]*f[a[2]*b[1]*c[3]])/
   10460353203 + (105331916800*f[a[1]^2*a[4]]*f[a[1]^4*b[1]*c[1]]*
     f[a[2]*b[1]*c[3]])/282429536481 + 
  (527360000*f[a[6]]*f[a[1]^4*b[1]*c[1]]*f[a[2]*b[1]*c[3]])/
   10460353203 - (204800*f[1]*f[a[2]*b[1]*c[1]]*f[a[2]*b[1]*c[3]])/
   531441 - (3481600*f[a[1]^2]*f[a[2]*b[1]*c[1]]*f[a[2]*b[1]*c[3]])/
   43046721 + (50176000*f[a[1]^4]*f[a[2]*b[1]*c[1]]*f[a[2]*b[1]*c[3]])/
   387420489 - (25600000*f[a[1]^6]*f[a[2]*b[1]*c[1]]*
     f[a[2]*b[1]*c[3]])/129140163 + 
  (409600*f[a[2]^2]*f[a[2]*b[1]*c[1]]*f[a[2]*b[1]*c[3]])/531441 - 
  (1663385600*f[a[1]^2*a[2]^2]*f[a[2]*b[1]*c[1]]*f[a[2]*b[1]*c[3]])/
   10460353203 - (13107200*f[a[1]*a[3]]*f[a[2]*b[1]*c[1]]*
     f[a[2]*b[1]*c[3]])/43046721 + 
  (380108800*f[a[1]^3*a[3]]*f[a[2]*b[1]*c[1]]*f[a[2]*b[1]*c[3]])/
   3486784401 - (1291673600*f[a[3]^2]*f[a[2]*b[1]*c[1]]*
     f[a[2]*b[1]*c[3]])/3486784401 + 
  (1507328000*f[a[1]*a[5]]*f[a[2]*b[1]*c[1]]*f[a[2]*b[1]*c[3]])/
   10460353203 - (40960*f[b[1]*c[1]]*f[a[2]*b[1]*c[1]]*
     f[a[2]*b[1]*c[3]])/531441 - 
  (696320*f[a[1]^2*b[1]*c[1]]*f[a[2]*b[1]*c[1]]*f[a[2]*b[1]*c[3]])/
   43046721 + (10035200*f[a[1]^4*b[1]*c[1]]*f[a[2]*b[1]*c[1]]*
     f[a[2]*b[1]*c[3]])/387420489 - 
  (6553600*f[a[1]]*f[a[1]*a[2]*b[1]*c[1]]*f[a[2]*b[1]*c[3]])/43046721 - 
  (72089600*f[a[1]^3]*f[a[1]*a[2]*b[1]*c[1]]*f[a[2]*b[1]*c[3]])/
   387420489 + (163840000*f[a[1]^5]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[2]*b[1]*c[3]])/387420489 + 
  (4862771200*f[a[1]*a[2]^2]*f[a[1]*a[2]*b[1]*c[1]]*f[a[2]*b[1]*c[3]])/
   10460353203 + (6553600*f[a[3]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[2]*b[1]*c[3]])/43046721 - 
  (1251737600*f[a[1]^2*a[3]]*f[a[1]*a[2]*b[1]*c[1]]*f[a[2]*b[1]*c[3]])/
   3486784401 - (753664000*f[a[5]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[2]*b[1]*c[3]])/10460353203 - 
  (1310720*f[a[1]*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[1]]*f[a[2]*b[1]*c[3]])/
   43046721 - (14417920*f[a[1]^3*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[2]*b[1]*c[3]])/387420489 + 
  (1024000*f[1]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[2]*b[1]*c[3]])/14348907 - 
  (87449600*f[a[1]^2]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[2]*b[1]*c[3]])/
   1162261467 - (5913190400*f[a[1]^4]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[2]*b[1]*c[3]])/10460353203 + 
  (158120960000*f[a[1]^6]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[2]*b[1]*c[3]])/
   94143178827 + (184729600*f[a[2]^2]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[2]*b[1]*c[3]])/10460353203 + 
  (421102796800*f[a[1]^2*a[2]^2]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[2]*b[1]*c[3]])/847288609443 + 
  (2372403200*f[a[1]*a[3]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[2]*b[1]*c[3]])/
   10460353203 - (20381696000*f[a[1]^3*a[3]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[2]*b[1]*c[3]])/31381059609 + 
  (2998067200*f[a[3]^2]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[2]*b[1]*c[3]])/
   94143178827 - (6710886400*f[a[2]*a[4]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[2]*b[1]*c[3]])/847288609443 - 
  (88145920000*f[a[1]*a[5]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[2]*b[1]*c[3]])/847288609443 + 
  (204800*f[b[1]*c[1]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[2]*b[1]*c[3]])/
   14348907 - (17489920*f[a[1]^2*b[1]*c[1]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[2]*b[1]*c[3]])/1162261467 - 
  (1182638080*f[a[1]^4*b[1]*c[1]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[2]*b[1]*c[3]])/10460353203 + 
  (409600*f[a[2]]*f[a[2]^2*b[1]*c[1]]*f[a[2]*b[1]*c[3]])/531441 + 
  (184729600*f[a[1]^2*a[2]]*f[a[2]^2*b[1]*c[1]]*f[a[2]*b[1]*c[3]])/
   10460353203 - (9312256000*f[a[1]^4*a[2]]*f[a[2]^2*b[1]*c[1]]*
     f[a[2]*b[1]*c[3]])/94143178827 - 
  (24255692800*f[a[2]^3]*f[a[2]^2*b[1]*c[1]]*f[a[2]*b[1]*c[3]])/
   10460353203 + (11573657600*f[a[1]*a[2]*a[3]]*f[a[2]^2*b[1]*c[1]]*
     f[a[2]*b[1]*c[3]])/31381059609 - 
  (1638400*f[a[4]]*f[a[2]^2*b[1]*c[1]]*f[a[2]*b[1]*c[3]])/43046721 - 
  (738918400*f[a[1]^2*a[4]]*f[a[2]^2*b[1]*c[1]]*f[a[2]*b[1]*c[3]])/
   847288609443 + (4505600*f[a[6]]*f[a[2]^2*b[1]*c[1]]*
     f[a[2]*b[1]*c[3]])/129140163 + 
  (81920*f[a[2]*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]]*f[a[2]*b[1]*c[3]])/
   531441 + (36945920*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]]*
     f[a[2]*b[1]*c[3]])/10460353203 + 
  (6553600*f[a[1]*a[2]]*f[a[3]*b[1]*c[1]]*f[a[2]*b[1]*c[3]])/43046721 - 
  (32768000*f[a[1]^3*a[2]]*f[a[3]*b[1]*c[1]]*f[a[2]*b[1]*c[3]])/
   387420489 - (1369702400*f[a[2]*a[3]]*f[a[3]*b[1]*c[1]]*
     f[a[2]*b[1]*c[3]])/3486784401 + 
  (1913651200*f[a[1]*a[4]]*f[a[3]*b[1]*c[1]]*f[a[2]*b[1]*c[3]])/
   10460353203 + (1310720*f[a[1]*a[2]*b[1]*c[1]]*f[a[3]*b[1]*c[1]]*
     f[a[2]*b[1]*c[3]])/43046721 - 
  (13107200*f[a[2]]*f[a[1]*a[3]*b[1]*c[1]]*f[a[2]*b[1]*c[3]])/
   43046721 + (2372403200*f[a[1]^2*a[2]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[2]*b[1]*c[3]])/10460353203 - 
  (20774912000*f[a[1]^4*a[2]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[2]*b[1]*c[3]])/94143178827 - 
  (9410969600*f[a[2]^3]*f[a[1]*a[3]*b[1]*c[1]]*f[a[2]*b[1]*c[3]])/
   10460353203 - (48549068800*f[a[1]*a[2]*a[3]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[2]*b[1]*c[3]])/282429536481 - 
  (1310720000*f[a[4]]*f[a[1]*a[3]*b[1]*c[1]]*f[a[2]*b[1]*c[3]])/
   10460353203 + (23016243200*f[a[1]^2*a[4]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[2]*b[1]*c[3]])/94143178827 + 
  (9109504000*f[a[6]]*f[a[1]*a[3]*b[1]*c[1]]*f[a[2]*b[1]*c[3]])/
   282429536481 - (2621440*f[a[2]*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[2]*b[1]*c[3]])/43046721 + 
  (474480640*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[2]*b[1]*c[3]])/10460353203 + 
  (819200*f[1]*f[a[4]*b[1]*c[1]]*f[a[2]*b[1]*c[3]])/43046721 + 
  (74547200*f[a[1]^2]*f[a[4]*b[1]*c[1]]*f[a[2]*b[1]*c[3]])/1162261467 - 
  (765952000*f[a[1]^4]*f[a[4]*b[1]*c[1]]*f[a[2]*b[1]*c[3]])/
   10460353203 + (28979200000*f[a[1]^6]*f[a[4]*b[1]*c[1]]*
     f[a[2]*b[1]*c[3]])/282429536481 - 
  (1638400*f[a[2]^2]*f[a[4]*b[1]*c[1]]*f[a[2]*b[1]*c[3]])/43046721 + 
  (1345126400*f[a[1]^2*a[2]^2]*f[a[4]*b[1]*c[1]]*f[a[2]*b[1]*c[3]])/
   94143178827 - (1310720000*f[a[1]*a[3]]*f[a[4]*b[1]*c[1]]*
     f[a[2]*b[1]*c[3]])/10460353203 + 
  (9070182400*f[a[1]^3*a[3]]*f[a[4]*b[1]*c[1]]*f[a[2]*b[1]*c[3]])/
   94143178827 - (174139801600*f[a[3]^2]*f[a[4]*b[1]*c[1]]*
     f[a[2]*b[1]*c[3]])/282429536481 + 
  (671088640000*f[a[2]*a[4]]*f[a[4]*b[1]*c[1]]*f[a[2]*b[1]*c[3]])/
   847288609443 - (73662464000*f[a[1]*a[5]]*f[a[4]*b[1]*c[1]]*
     f[a[2]*b[1]*c[3]])/282429536481 + 
  (163840*f[b[1]*c[1]]*f[a[4]*b[1]*c[1]]*f[a[2]*b[1]*c[3]])/43046721 + 
  (14909440*f[a[1]^2*b[1]*c[1]]*f[a[4]*b[1]*c[1]]*f[a[2]*b[1]*c[3]])/
   1162261467 - (153190400*f[a[1]^4*b[1]*c[1]]*f[a[4]*b[1]*c[1]]*
     f[a[2]*b[1]*c[3]])/10460353203 - 
  (327680*f[a[2]^2*b[1]*c[1]]*f[a[4]*b[1]*c[1]]*f[a[2]*b[1]*c[3]])/
   43046721 - (262144000*f[a[1]*a[3]*b[1]*c[1]]*f[a[4]*b[1]*c[1]]*
     f[a[2]*b[1]*c[3]])/10460353203 + 
  (311296*f[a[1]]*f[b[2]*c[1]]*f[a[2]*b[1]*c[3]])/1594323 - 
  (1556480*f[a[1]^3]*f[b[2]*c[1]]*f[a[2]*b[1]*c[3]])/14348907 + 
  (38912000*f[a[1]^5]*f[b[2]*c[1]]*f[a[2]*b[1]*c[3]])/387420489 + 
  (8093696*f[a[1]*a[2]^2]*f[b[2]*c[1]]*f[a[2]*b[1]*c[3]])/387420489 + 
  (1556480*f[a[3]]*f[b[2]*c[1]]*f[a[2]*b[1]*c[3]])/4782969 - 
  (3424256*f[a[1]^2*a[3]]*f[b[2]*c[1]]*f[a[2]*b[1]*c[3]])/387420489 - 
  (17121280*f[a[5]]*f[b[2]*c[1]]*f[a[2]*b[1]*c[3]])/129140163 + 
  (4210688*f[a[1]*b[1]*c[1]]*f[b[2]*c[1]]*f[a[2]*b[1]*c[3]])/43046721 - 
  (21053440*f[a[1]^3*b[1]*c[1]]*f[b[2]*c[1]]*f[a[2]*b[1]*c[3]])/
   387420489 + (21053440*f[a[3]*b[1]*c[1]]*f[b[2]*c[1]]*
     f[a[2]*b[1]*c[3]])/129140163 - 
  (311296*f[1]*f[a[1]*b[2]*c[1]]*f[a[2]*b[1]*c[3]])/1594323 + 
  (11517952*f[a[1]^2]*f[a[1]*b[2]*c[1]]*f[a[2]*b[1]*c[3]])/43046721 - 
  (35799040*f[a[1]^4]*f[a[1]*b[2]*c[1]]*f[a[2]*b[1]*c[3]])/129140163 + 
  (3930112000*f[a[1]^6]*f[a[1]*b[2]*c[1]]*f[a[2]*b[1]*c[3]])/
   10460353203 - (167477248*f[a[2]^2]*f[a[1]*b[2]*c[1]]*
     f[a[2]*b[1]*c[3]])/387420489 + 
  (365461504*f[a[1]^2*a[2]^2]*f[a[1]*b[2]*c[1]]*f[a[2]*b[1]*c[3]])/
   3486784401 + (19922944*f[a[1]*a[3]]*f[a[1]*b[2]*c[1]]*
     f[a[2]*b[1]*c[3]])/129140163 + 
  (19922944*f[a[1]^3*a[3]]*f[a[1]*b[2]*c[1]]*f[a[2]*b[1]*c[3]])/
   3486784401 - (170278912*f[a[3]^2]*f[a[1]*b[2]*c[1]]*
     f[a[2]*b[1]*c[3]])/10460353203 + 
  (1275068416*f[a[2]*a[4]]*f[a[1]*b[2]*c[1]]*f[a[2]*b[1]*c[3]])/
   10460353203 - (498073600*f[a[1]*a[5]]*f[a[1]*b[2]*c[1]]*
     f[a[2]*b[1]*c[3]])/10460353203 - 
  (4210688*f[b[1]*c[1]]*f[a[1]*b[2]*c[1]]*f[a[2]*b[1]*c[3]])/43046721 + 
  (155795456*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*f[a[2]*b[1]*c[3]])/
   1162261467 - (484229120*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*
     f[a[2]*b[1]*c[3]])/3486784401 - 
  (2265350144*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*f[a[2]*b[1]*c[3]])/
   10460353203 + (269484032*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*
     f[a[2]*b[1]*c[3]])/3486784401 - 
  (11517952*f[a[1]]*f[a[1]^2*b[2]*c[1]]*f[a[2]*b[1]*c[3]])/43046721 + 
  (216973312*f[a[1]^3]*f[a[1]^2*b[2]*c[1]]*f[a[2]*b[1]*c[3]])/
   387420489 - (3136307200*f[a[1]^5]*f[a[1]^2*b[2]*c[1]]*
     f[a[2]*b[1]*c[3]])/3486784401 - 
  (13649084416*f[a[1]*a[2]^2]*f[a[1]^2*b[2]*c[1]]*f[a[2]*b[1]*c[3]])/
   31381059609 - (13385728*f[a[3]]*f[a[1]^2*b[2]*c[1]]*
     f[a[2]*b[1]*c[3]])/387420489 + 
  (467255296*f[a[1]^2*a[3]]*f[a[1]^2*b[2]*c[1]]*f[a[2]*b[1]*c[3]])/
   3486784401 + (122961920*f[a[5]]*f[a[1]^2*b[2]*c[1]]*
     f[a[2]*b[1]*c[3]])/31381059609 - 
  (155795456*f[a[1]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*f[a[2]*b[1]*c[3]])/
   1162261467 + (2934849536*f[a[1]^3*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*
     f[a[2]*b[1]*c[3]])/10460353203 - 
  (181059584*f[a[3]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*f[a[2]*b[1]*c[3]])/
   10460353203 + (1556480*f[1]*f[a[1]^3*b[2]*c[1]]*f[a[2]*b[1]*c[3]])/
   14348907 - (216973312*f[a[1]^2]*f[a[1]^3*b[2]*c[1]]*
     f[a[2]*b[1]*c[3]])/387420489 + 
  (16593010688*f[a[1]^4]*f[a[1]^3*b[2]*c[1]]*f[a[2]*b[1]*c[3]])/
   10460353203 - (334433075200*f[a[1]^6]*f[a[1]^3*b[2]*c[1]]*
     f[a[2]*b[1]*c[3]])/94143178827 - 
  (37978112*f[a[2]^2]*f[a[1]^3*b[2]*c[1]]*f[a[2]*b[1]*c[3]])/
   10460353203 - (179335757824*f[a[1]^2*a[2]^2]*f[a[1]^3*b[2]*c[1]]*
     f[a[2]*b[1]*c[3]])/282429536481 - 
  (139460608*f[a[1]*a[3]]*f[a[1]^3*b[2]*c[1]]*f[a[2]*b[1]*c[3]])/
   3486784401 + (4203741184*f[a[1]^3*a[3]]*f[a[1]^3*b[2]*c[1]]*
     f[a[2]*b[1]*c[3]])/31381059609 + 
  (373243904*f[a[3]^2]*f[a[1]^3*b[2]*c[1]]*f[a[2]*b[1]*c[3]])/
   94143178827 + (1275068416*f[a[2]*a[4]]*f[a[1]^3*b[2]*c[1]]*
     f[a[2]*b[1]*c[3]])/31381059609 - 
  (2888826880*f[a[1]*a[5]]*f[a[1]^3*b[2]*c[1]]*f[a[2]*b[1]*c[3]])/
   282429536481 + (21053440*f[b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[2]*b[1]*c[3]])/387420489 - 
  (2934849536*f[a[1]^2*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[2]*b[1]*c[3]])/10460353203 + 
  (224442302464*f[a[1]^4*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[2]*b[1]*c[3]])/282429536481 - 
  (513703936*f[a[2]^2*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[2]*b[1]*c[3]])/282429536481 - 
  (1886388224*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[2]*b[1]*c[3]])/94143178827 + 
  (335544320*f[b[2]*c[1]]*f[a[2]*b[2]*c[1]]*f[a[2]*b[1]*c[3]])/
   1162261467 + (5704253440*f[a[1]^2*b[2]*c[1]]*f[a[2]*b[2]*c[1]]*
     f[a[2]*b[1]*c[3]])/94143178827 - 
  (2550136832*f[a[1]^2*a[2]]*f[a[1]*a[2]*b[2]*c[1]]*f[a[2]*b[1]*c[3]])/
   31381059609 + (25501368320*f[a[1]^4*a[2]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[2]*b[1]*c[3]])/282429536481 + 
  (40802189312*f[a[2]^3]*f[a[1]*a[2]*b[2]*c[1]]*f[a[2]*b[1]*c[3]])/
   31381059609 - (12750684160*f[a[1]*a[2]*a[3]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[2]*b[1]*c[3]])/94143178827 + 
  (2550136832*f[a[4]]*f[a[1]*a[2]*b[2]*c[1]]*f[a[2]*b[1]*c[3]])/
   31381059609 + (17850957824*f[a[1]^2*a[4]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[2]*b[1]*c[3]])/847288609443 - 
  (5100273664*f[a[6]]*f[a[1]*a[2]*b[2]*c[1]]*f[a[2]*b[1]*c[3]])/
   94143178827 - (34493956096*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]]*f[a[2]*b[1]*c[3]])/847288609443 + 
  (34493956096*f[a[4]*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[2]*b[1]*c[3]])/847288609443 + 
  (10737418240*f[a[1]*b[2]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[2]*b[1]*c[3]])/94143178827 + 
  (118111600640*f[a[1]^3*b[2]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[2]*b[1]*c[3]])/847288609443 - 
  (1556480*f[1]*f[a[3]*b[2]*c[1]]*f[a[2]*b[1]*c[3]])/4782969 + 
  (13385728*f[a[1]^2]*f[a[3]*b[2]*c[1]]*f[a[2]*b[1]*c[3]])/387420489 - 
  (17121280*f[a[1]^4]*f[a[3]*b[2]*c[1]]*f[a[2]*b[1]*c[3]])/3486784401 - 
  (272384000*f[a[1]^6]*f[a[3]*b[2]*c[1]]*f[a[2]*b[1]*c[3]])/
   31381059609 - (837386240*f[a[2]^2]*f[a[3]*b[2]*c[1]]*
     f[a[2]*b[1]*c[3]])/1162261467 + 
  (12301795328*f[a[1]^2*a[2]^2]*f[a[3]*b[2]*c[1]]*f[a[2]*b[1]*c[3]])/
   94143178827 + (2530213888*f[a[1]*a[3]]*f[a[3]*b[2]*c[1]]*
     f[a[2]*b[1]*c[3]])/10460353203 - 
  (13607370752*f[a[1]^3*a[3]]*f[a[3]*b[2]*c[1]]*f[a[2]*b[1]*c[3]])/
   94143178827 + (33416069120*f[a[3]^2]*f[a[3]*b[2]*c[1]]*
     f[a[2]*b[1]*c[3]])/31381059609 - 
  (14025752576*f[a[2]*a[4]]*f[a[3]*b[2]*c[1]]*f[a[2]*b[1]*c[3]])/
   31381059609 + (2888826880*f[a[1]*a[5]]*f[a[3]*b[2]*c[1]]*
     f[a[2]*b[1]*c[3]])/94143178827 - 
  (21053440*f[b[1]*c[1]]*f[a[3]*b[2]*c[1]]*f[a[2]*b[1]*c[3]])/
   129140163 + (181059584*f[a[1]^2*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[a[2]*b[1]*c[3]])/10460353203 - 
  (231587840*f[a[1]^4*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*f[a[2]*b[1]*c[3]])/
   94143178827 - (11326750720*f[a[2]^2*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[a[2]*b[1]*c[3]])/31381059609 + 
  (34224472064*f[a[1]*a[3]*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[a[2]*b[1]*c[3]])/282429536481 - 
  (10737418240*f[a[1]*a[2]*b[2]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[a[2]*b[1]*c[3]])/94143178827 - 
  (26181632*f[a[2]]*f[b[3]*c[1]]*f[a[2]*b[1]*c[3]])/43046721 + 
  (130908160*f[a[1]^2*a[2]]*f[b[3]*c[1]]*f[a[2]*b[1]*c[3]])/
   1162261467 - (654540800*f[a[1]^4*a[2]]*f[b[3]*c[1]]*
     f[a[2]*b[1]*c[3]])/10460353203 - 
  (680722432*f[a[2]^3]*f[b[3]*c[1]]*f[a[2]*b[1]*c[3]])/3486784401 - 
  (837812224*f[a[1]*a[2]*a[3]]*f[b[3]*c[1]]*f[a[2]*b[1]*c[3]])/
   10460353203 + (104726528*f[a[4]]*f[b[3]*c[1]]*f[a[2]*b[1]*c[3]])/
   3486784401 - (523632640*f[a[1]^2*a[4]]*f[b[3]*c[1]]*
     f[a[2]*b[1]*c[3]])/94143178827 - 
  (287997952*f[a[6]]*f[b[3]*c[1]]*f[a[2]*b[1]*c[3]])/10460353203 + 
  (32800768*f[a[2]*b[1]*c[1]]*f[b[3]*c[1]]*f[a[2]*b[1]*c[3]])/
   387420489 - (164003840*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[3]*c[1]]*
     f[a[2]*b[1]*c[3]])/10460353203 - 
  (131203072*f[a[4]*b[1]*c[1]]*f[b[3]*c[1]]*f[a[2]*b[1]*c[3]])/
   31381059609 - (482344960*f[a[1]*b[2]*c[1]]*f[b[3]*c[1]]*
     f[a[2]*b[1]*c[3]])/3486784401 + 
  (2411724800*f[a[1]^3*b[2]*c[1]]*f[b[3]*c[1]]*f[a[2]*b[1]*c[3]])/
   31381059609 - (2411724800*f[a[3]*b[2]*c[1]]*f[b[3]*c[1]]*
     f[a[2]*b[1]*c[3]])/10460353203 - 
  (837812224*f[a[1]*a[2]]*f[a[1]*b[3]*c[1]]*f[a[2]*b[1]*c[3]])/
   3486784401 + (4189061120*f[a[1]^3*a[2]]*f[a[1]*b[3]*c[1]]*
     f[a[2]*b[1]*c[3]])/31381059609 + 
  (837812224*f[a[2]*a[3]]*f[a[1]*b[3]*c[1]]*f[a[2]*b[1]*c[3]])/
   3486784401 - (3351248896*f[a[1]*a[4]]*f[a[1]*b[3]*c[1]]*
     f[a[2]*b[1]*c[3]])/94143178827 + 
  (1049624576*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]*b[3]*c[1]]*
     f[a[2]*b[1]*c[3]])/31381059609 + 
  (482344960*f[b[2]*c[1]]*f[a[1]*b[3]*c[1]]*f[a[2]*b[1]*c[3]])/
   3486784401 - (17846763520*f[a[1]^2*b[2]*c[1]]*f[a[1]*b[3]*c[1]]*
     f[a[2]*b[1]*c[3]])/94143178827 - 
  (445087744*f[a[2]]*f[a[1]^2*b[3]*c[1]]*f[a[2]*b[1]*c[3]])/
   3486784401 - (11179556864*f[a[1]^2*a[2]]*f[a[1]^2*b[3]*c[1]]*
     f[a[2]*b[1]*c[3]])/94143178827 + 
  (40974254080*f[a[1]^4*a[2]]*f[a[1]^2*b[3]*c[1]]*f[a[2]*b[1]*c[3]])/
   282429536481 - (75350736896*f[a[2]^3]*f[a[1]^2*b[3]*c[1]]*
     f[a[2]*b[1]*c[3]])/94143178827 + 
  (71214039040*f[a[1]*a[2]*a[3]]*f[a[1]^2*b[3]*c[1]]*
     f[a[2]*b[1]*c[3]])/282429536481 + 
  (9530114048*f[a[4]]*f[a[1]^2*b[3]*c[1]]*f[a[2]*b[1]*c[3]])/
   94143178827 - (35083386880*f[a[1]^2*a[4]]*f[a[1]^2*b[3]*c[1]]*
     f[a[2]*b[1]*c[3]])/282429536481 - 
  (19505315840*f[a[6]]*f[a[1]^2*b[3]*c[1]]*f[a[2]*b[1]*c[3]])/
   282429536481 + (557613056*f[a[2]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[a[2]*b[1]*c[3]])/31381059609 + 
  (14005927936*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[a[2]*b[1]*c[3]])/847288609443 - 
  (11939479552*f[a[4]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[a[2]*b[1]*c[3]])/847288609443 + 
  (17846763520*f[a[1]*b[2]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[a[2]*b[1]*c[3]])/94143178827 - 
  (336194437120*f[a[1]^3*b[2]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[a[2]*b[1]*c[3]])/847288609443 + 
  (20740833280*f[a[3]*b[2]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[a[2]*b[1]*c[3]])/847288609443 - 
  (26181632*f[1]*f[a[2]*b[3]*c[1]]*f[a[2]*b[1]*c[3]])/43046721 - 
  (445087744*f[a[1]^2]*f[a[2]*b[3]*c[1]]*f[a[2]*b[1]*c[3]])/
   3486784401 + (6414499840*f[a[1]^4]*f[a[2]*b[3]*c[1]]*
     f[a[2]*b[1]*c[3]])/31381059609 - 
  (3272704000*f[a[1]^6]*f[a[2]*b[3]*c[1]]*f[a[2]*b[1]*c[3]])/
   10460353203 + (52363264*f[a[2]^2]*f[a[2]*b[3]*c[1]]*
     f[a[2]*b[1]*c[3]])/43046721 - 
  (212647215104*f[a[1]^2*a[2]^2]*f[a[2]*b[3]*c[1]]*f[a[2]*b[1]*c[3]])/
   847288609443 - (1675624448*f[a[1]*a[3]]*f[a[2]*b[3]*c[1]]*
     f[a[2]*b[1]*c[3]])/3486784401 + 
  (48593108992*f[a[1]^3*a[3]]*f[a[2]*b[3]*c[1]]*f[a[2]*b[1]*c[3]])/
   282429536481 - (165127553024*f[a[3]^2]*f[a[2]*b[3]*c[1]]*
     f[a[2]*b[1]*c[3]])/282429536481 + 
  (192696811520*f[a[1]*a[5]]*f[a[2]*b[3]*c[1]]*f[a[2]*b[1]*c[3]])/
   847288609443 + (32800768*f[b[1]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[a[2]*b[1]*c[3]])/387420489 + 
  (557613056*f[a[1]^2*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*f[a[2]*b[1]*c[3]])/
   31381059609 - (8036188160*f[a[1]^4*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[a[2]*b[1]*c[3]])/282429536481 - 
  (65601536*f[a[2]^2*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*f[a[2]*b[1]*c[3]])/
   387420489 + (2099249152*f[a[1]*a[3]*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[a[2]*b[1]*c[3]])/31381059609 + 
  (2684354560*f[b[3]*c[1]]*f[a[2]*b[3]*c[1]]*f[a[2]*b[1]*c[3]])/
   3486784401 + (45634027520*f[a[1]^2*b[3]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[a[2]*b[1]*c[3]])/282429536481 + 
  (13598720*f[a[1]]*f[b[4]*c[1]]*f[a[2]*b[1]*c[3]])/43046721 - 
  (67993600*f[a[1]^3]*f[b[4]*c[1]]*f[a[2]*b[1]*c[3]])/387420489 + 
  (1699840000*f[a[1]^5]*f[b[4]*c[1]]*f[a[2]*b[1]*c[3]])/10460353203 + 
  (353566720*f[a[1]*a[2]^2]*f[b[4]*c[1]]*f[a[2]*b[1]*c[3]])/
   10460353203 + (67993600*f[a[3]]*f[b[4]*c[1]]*f[a[2]*b[1]*c[3]])/
   129140163 - (149585920*f[a[1]^2*a[3]]*f[b[4]*c[1]]*
     f[a[2]*b[1]*c[3]])/10460353203 - 
  (747929600*f[a[5]]*f[b[4]*c[1]]*f[a[2]*b[1]*c[3]])/3486784401 - 
  (1146880*f[a[1]*b[1]*c[1]]*f[b[4]*c[1]]*f[a[2]*b[1]*c[3]])/
   129140163 + (5734400*f[a[1]^3*b[1]*c[1]]*f[b[4]*c[1]]*
     f[a[2]*b[1]*c[3]])/1162261467 - 
  (5734400*f[a[3]*b[1]*c[1]]*f[b[4]*c[1]]*f[a[2]*b[1]*c[3]])/
   387420489 + (4160749568*f[a[2]*b[2]*c[1]]*f[b[4]*c[1]]*
     f[a[2]*b[1]*c[3]])/10460353203 - 
  (9151971328*f[a[1]*b[3]*c[1]]*f[b[4]*c[1]]*f[a[2]*b[1]*c[3]])/
   31381059609 - (13598720*f[1]*f[a[1]*b[4]*c[1]]*f[a[2]*b[1]*c[3]])/
   43046721 + (503152640*f[a[1]^2]*f[a[1]*b[4]*c[1]]*
     f[a[2]*b[1]*c[3]])/1162261467 - 
  (1563852800*f[a[1]^4]*f[a[1]*b[4]*c[1]]*f[a[2]*b[1]*c[3]])/
   3486784401 + (171683840000*f[a[1]^6]*f[a[1]*b[4]*c[1]]*
     f[a[2]*b[1]*c[3]])/282429536481 - 
  (7316111360*f[a[2]^2]*f[a[1]*b[4]*c[1]]*f[a[2]*b[1]*c[3]])/
   10460353203 + (15964897280*f[a[1]^2*a[2]^2]*f[a[1]*b[4]*c[1]]*
     f[a[2]*b[1]*c[3]])/94143178827 + 
  (870318080*f[a[1]*a[3]]*f[a[1]*b[4]*c[1]]*f[a[2]*b[1]*c[3]])/
   3486784401 + (870318080*f[a[1]^3*a[3]]*f[a[1]*b[4]*c[1]]*
     f[a[2]*b[1]*c[3]])/94143178827 - 
  (7438499840*f[a[3]^2]*f[a[1]*b[4]*c[1]]*f[a[2]*b[1]*c[3]])/
   282429536481 + (55700357120*f[a[2]*a[4]]*f[a[1]*b[4]*c[1]]*
     f[a[2]*b[1]*c[3]])/282429536481 - 
  (21757952000*f[a[1]*a[5]]*f[a[1]*b[4]*c[1]]*f[a[2]*b[1]*c[3]])/
   282429536481 + (1146880*f[b[1]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[a[2]*b[1]*c[3]])/129140163 - 
  (42434560*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*f[a[2]*b[1]*c[3]])/
   3486784401 + (131891200*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[a[2]*b[1]*c[3]])/10460353203 + 
  (617021440*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*f[a[2]*b[1]*c[3]])/
   31381059609 - (73400320*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[a[2]*b[1]*c[3]])/10460353203 + 
  (133143986176*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[a[2]*b[1]*c[3]])/847288609443 + 
  (9151971328*f[b[3]*c[1]]*f[a[1]*b[4]*c[1]]*f[a[2]*b[1]*c[3]])/
   31381059609 - (338622939136*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[a[2]*b[1]*c[3]])/847288609443 - 
  (342261760*f[a[2]]*f[b[5]*c[1]]*f[a[2]*b[1]*c[3]])/1162261467 + 
  (1711308800*f[a[1]^2*a[2]]*f[b[5]*c[1]]*f[a[2]*b[1]*c[3]])/
   31381059609 - (8556544000*f[a[1]^4*a[2]]*f[b[5]*c[1]]*
     f[a[2]*b[1]*c[3]])/282429536481 - 
  (8898805760*f[a[2]^3]*f[b[5]*c[1]]*f[a[2]*b[1]*c[3]])/94143178827 - 
  (10952376320*f[a[1]*a[2]*a[3]]*f[b[5]*c[1]]*f[a[2]*b[1]*c[3]])/
   282429536481 + (1369047040*f[a[4]]*f[b[5]*c[1]]*f[a[2]*b[1]*c[3]])/
   94143178827 - (6845235200*f[a[1]^2*a[4]]*f[b[5]*c[1]]*
     f[a[2]*b[1]*c[3]])/2541865828329 - 
  (3764879360*f[a[6]]*f[b[5]*c[1]]*f[a[2]*b[1]*c[3]])/282429536481 - 
  (1738178560*f[a[2]*b[1]*c[1]]*f[b[5]*c[1]]*f[a[2]*b[1]*c[3]])/
   10460353203 + (8690892800*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[5]*c[1]]*
     f[a[2]*b[1]*c[3]])/282429536481 + 
  (6952714240*f[a[4]*b[1]*c[1]]*f[b[5]*c[1]]*f[a[2]*b[1]*c[3]])/
   847288609443 - (7822376960*f[a[1]*b[2]*c[1]]*f[b[5]*c[1]]*
     f[a[2]*b[1]*c[3]])/94143178827 + 
  (39111884800*f[a[1]^3*b[2]*c[1]]*f[b[5]*c[1]]*f[a[2]*b[1]*c[3]])/
   847288609443 - (39111884800*f[a[3]*b[2]*c[1]]*f[b[5]*c[1]]*
     f[a[2]*b[1]*c[3]])/282429536481 - 
  (75161927680*f[a[2]*b[3]*c[1]]*f[b[5]*c[1]]*f[a[2]*b[1]*c[3]])/
   282429536481 - (116559708160*f[a[1]*b[4]*c[1]]*f[b[5]*c[1]]*
     f[a[2]*b[1]*c[3]])/847288609443 - 
  (204800*f[a[1]]*f[b[1]*c[2]]*f[a[2]*b[1]*c[3]])/4782969 + 
  (1024000*f[a[1]^3]*f[b[1]*c[2]]*f[a[2]*b[1]*c[3]])/43046721 - 
  (25600000*f[a[1]^5]*f[b[1]*c[2]]*f[a[2]*b[1]*c[3]])/1162261467 - 
  (5324800*f[a[1]*a[2]^2]*f[b[1]*c[2]]*f[a[2]*b[1]*c[3]])/1162261467 - 
  (1024000*f[a[3]]*f[b[1]*c[2]]*f[a[2]*b[1]*c[3]])/14348907 + 
  (2252800*f[a[1]^2*a[3]]*f[b[1]*c[2]]*f[a[2]*b[1]*c[3]])/1162261467 + 
  (11264000*f[a[5]]*f[b[1]*c[2]]*f[a[2]*b[1]*c[3]])/387420489 - 
  (204800*f[a[1]*b[1]*c[1]]*f[b[1]*c[2]]*f[a[2]*b[1]*c[3]])/4782969 + 
  (1024000*f[a[1]^3*b[1]*c[1]]*f[b[1]*c[2]]*f[a[2]*b[1]*c[3]])/
   43046721 - (1024000*f[a[3]*b[1]*c[1]]*f[b[1]*c[2]]*
     f[a[2]*b[1]*c[3]])/14348907 + 
  (104857600*f[a[2]*b[2]*c[1]]*f[b[1]*c[2]]*f[a[2]*b[1]*c[3]])/
   387420489 + (241172480*f[a[1]*b[3]*c[1]]*f[b[1]*c[2]]*
     f[a[2]*b[1]*c[3]])/3486784401 + 
  (204800*f[1]*f[a[1]*b[1]*c[2]]*f[a[2]*b[1]*c[3]])/4782969 - 
  (7577600*f[a[1]^2]*f[a[1]*b[1]*c[2]]*f[a[2]*b[1]*c[3]])/129140163 + 
  (23552000*f[a[1]^4]*f[a[1]*b[1]*c[2]]*f[a[2]*b[1]*c[3]])/387420489 - 
  (2585600000*f[a[1]^6]*f[a[1]*b[1]*c[2]]*f[a[2]*b[1]*c[3]])/
   31381059609 + (110182400*f[a[2]^2]*f[a[1]*b[1]*c[2]]*
     f[a[2]*b[1]*c[3]])/1162261467 - 
  (240435200*f[a[1]^2*a[2]^2]*f[a[1]*b[1]*c[2]]*f[a[2]*b[1]*c[3]])/
   10460353203 - (13107200*f[a[1]*a[3]]*f[a[1]*b[1]*c[2]]*
     f[a[2]*b[1]*c[3]])/387420489 - 
  (13107200*f[a[1]^3*a[3]]*f[a[1]*b[1]*c[2]]*f[a[2]*b[1]*c[3]])/
   10460353203 + (112025600*f[a[3]^2]*f[a[1]*b[1]*c[2]]*
     f[a[2]*b[1]*c[3]])/31381059609 - 
  (838860800*f[a[2]*a[4]]*f[a[1]*b[1]*c[2]]*f[a[2]*b[1]*c[3]])/
   31381059609 + (327680000*f[a[1]*a[5]]*f[a[1]*b[1]*c[2]]*
     f[a[2]*b[1]*c[3]])/31381059609 + 
  (204800*f[b[1]*c[1]]*f[a[1]*b[1]*c[2]]*f[a[2]*b[1]*c[3]])/4782969 - 
  (7577600*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[1]*c[2]]*f[a[2]*b[1]*c[3]])/
   129140163 + (23552000*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[a[2]*b[1]*c[3]])/387420489 + 
  (110182400*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[1]*c[2]]*f[a[2]*b[1]*c[3]])/
   1162261467 - (13107200*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[a[2]*b[1]*c[3]])/387420489 + 
  (3355443200*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[a[2]*b[1]*c[3]])/31381059609 - 
  (241172480*f[b[3]*c[1]]*f[a[1]*b[1]*c[2]]*f[a[2]*b[1]*c[3]])/
   3486784401 + (8923381760*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[a[2]*b[1]*c[3]])/94143178827 - 
  (1835008000*f[b[5]*c[1]]*f[a[1]*b[1]*c[2]]*f[a[2]*b[1]*c[3]])/
   94143178827 + (7577600*f[a[1]]*f[a[1]^2*b[1]*c[2]]*
     f[a[2]*b[1]*c[3]])/129140163 - 
  (142745600*f[a[1]^3]*f[a[1]^2*b[1]*c[2]]*f[a[2]*b[1]*c[3]])/
   1162261467 + (2063360000*f[a[1]^5]*f[a[1]^2*b[1]*c[2]]*
     f[a[2]*b[1]*c[3]])/10460353203 + 
  (8979660800*f[a[1]*a[2]^2]*f[a[1]^2*b[1]*c[2]]*f[a[2]*b[1]*c[3]])/
   94143178827 + (8806400*f[a[3]]*f[a[1]^2*b[1]*c[2]]*
     f[a[2]*b[1]*c[3]])/1162261467 - 
  (307404800*f[a[1]^2*a[3]]*f[a[1]^2*b[1]*c[2]]*f[a[2]*b[1]*c[3]])/
   10460353203 - (80896000*f[a[5]]*f[a[1]^2*b[1]*c[2]]*
     f[a[2]*b[1]*c[3]])/94143178827 + 
  (7577600*f[a[1]*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]]*f[a[2]*b[1]*c[3]])/
   129140163 - (142745600*f[a[1]^3*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]]*
     f[a[2]*b[1]*c[3]])/1162261467 + 
  (8806400*f[a[3]*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]]*f[a[2]*b[1]*c[3]])/
   1162261467 + (1782579200*f[a[2]*b[2]*c[1]]*f[a[1]^2*b[1]*c[2]]*
     f[a[2]*b[1]*c[3]])/31381059609 - 
  (8923381760*f[a[1]*b[3]*c[1]]*f[a[1]^2*b[1]*c[2]]*f[a[2]*b[1]*c[3]])/
   94143178827 - (1024000*f[1]*f[a[1]^3*b[1]*c[2]]*f[a[2]*b[1]*c[3]])/
   43046721 + (142745600*f[a[1]^2]*f[a[1]^3*b[1]*c[2]]*
     f[a[2]*b[1]*c[3]])/1162261467 - 
  (10916454400*f[a[1]^4]*f[a[1]^3*b[1]*c[2]]*f[a[2]*b[1]*c[3]])/
   31381059609 + (220021760000*f[a[1]^6]*f[a[1]^3*b[1]*c[2]]*
     f[a[2]*b[1]*c[3]])/282429536481 + 
  (24985600*f[a[2]^2]*f[a[1]^3*b[1]*c[2]]*f[a[2]*b[1]*c[3]])/
   31381059609 + (117984051200*f[a[1]^2*a[2]^2]*f[a[1]^3*b[1]*c[2]]*
     f[a[2]*b[1]*c[3]])/847288609443 + 
  (91750400*f[a[1]*a[3]]*f[a[1]^3*b[1]*c[2]]*f[a[2]*b[1]*c[3]])/
   10460353203 - (2765619200*f[a[1]^3*a[3]]*f[a[1]^3*b[1]*c[2]]*
     f[a[2]*b[1]*c[3]])/94143178827 - 
  (245555200*f[a[3]^2]*f[a[1]^3*b[1]*c[2]]*f[a[2]*b[1]*c[3]])/
   282429536481 - (838860800*f[a[2]*a[4]]*f[a[1]^3*b[1]*c[2]]*
     f[a[2]*b[1]*c[3]])/94143178827 + 
  (1900544000*f[a[1]*a[5]]*f[a[1]^3*b[1]*c[2]]*f[a[2]*b[1]*c[3]])/
   847288609443 - (1024000*f[b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[a[2]*b[1]*c[3]])/43046721 + 
  (142745600*f[a[1]^2*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[a[2]*b[1]*c[3]])/1162261467 - 
  (10916454400*f[a[1]^4*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[a[2]*b[1]*c[3]])/31381059609 + 
  (24985600*f[a[2]^2*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*f[a[2]*b[1]*c[3]])/
   31381059609 + (91750400*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[a[2]*b[1]*c[3]])/10460353203 + 
  (36909875200*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[a[2]*b[1]*c[3]])/282429536481 + 
  (1205862400*f[b[3]*c[1]]*f[a[1]^3*b[1]*c[2]]*f[a[2]*b[1]*c[3]])/
   31381059609 - (168097218560*f[a[1]^2*b[3]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[a[2]*b[1]*c[3]])/847288609443 + 
  (9175040000*f[b[5]*c[1]]*f[a[1]^3*b[1]*c[2]]*f[a[2]*b[1]*c[3]])/
   847288609443 + (104857600*f[b[2]*c[1]]*f[a[2]*b[1]*c[2]]*
     f[a[2]*b[1]*c[3]])/387420489 + 
  (1782579200*f[a[1]^2*b[2]*c[1]]*f[a[2]*b[1]*c[2]]*f[a[2]*b[1]*c[3]])/
   31381059609 + (2306867200*f[b[4]*c[1]]*f[a[2]*b[1]*c[2]]*
     f[a[2]*b[1]*c[3]])/10460353203 + 
  (1677721600*f[a[1]^2*a[2]]*f[a[1]*a[2]*b[1]*c[2]]*f[a[2]*b[1]*c[3]])/
   94143178827 - (16777216000*f[a[1]^4*a[2]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[2]*b[1]*c[3]])/847288609443 - 
  (26843545600*f[a[2]^3]*f[a[1]*a[2]*b[1]*c[2]]*f[a[2]*b[1]*c[3]])/
   94143178827 + (8388608000*f[a[1]*a[2]*a[3]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[2]*b[1]*c[3]])/282429536481 - 
  (1677721600*f[a[4]]*f[a[1]*a[2]*b[1]*c[2]]*f[a[2]*b[1]*c[3]])/
   94143178827 - (11744051200*f[a[1]^2*a[4]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[2]*b[1]*c[3]])/2541865828329 + 
  (3355443200*f[a[6]]*f[a[1]*a[2]*b[1]*c[2]]*f[a[2]*b[1]*c[3]])/
   282429536481 + (1677721600*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]]*f[a[2]*b[1]*c[3]])/94143178827 - 
  (1677721600*f[a[4]*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[2]*b[1]*c[3]])/94143178827 + 
  (3355443200*f[a[1]*b[2]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[2]*b[1]*c[3]])/31381059609 + 
  (36909875200*f[a[1]^3*b[2]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[2]*b[1]*c[3]])/282429536481 - 
  (3355443200*f[a[3]*b[2]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[2]*b[1]*c[3]])/31381059609 + 
  (73819750400*f[a[1]*b[4]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[2]*b[1]*c[3]])/847288609443 + 
  (1024000*f[1]*f[a[3]*b[1]*c[2]]*f[a[2]*b[1]*c[3]])/14348907 - 
  (8806400*f[a[1]^2]*f[a[3]*b[1]*c[2]]*f[a[2]*b[1]*c[3]])/1162261467 + 
  (11264000*f[a[1]^4]*f[a[3]*b[1]*c[2]]*f[a[2]*b[1]*c[3]])/
   10460353203 + (179200000*f[a[1]^6]*f[a[3]*b[1]*c[2]]*
     f[a[2]*b[1]*c[3]])/94143178827 + 
  (550912000*f[a[2]^2]*f[a[3]*b[1]*c[2]]*f[a[2]*b[1]*c[3]])/
   3486784401 - (8093286400*f[a[1]^2*a[2]^2]*f[a[3]*b[1]*c[2]]*
     f[a[2]*b[1]*c[3]])/282429536481 - 
  (1664614400*f[a[1]*a[3]]*f[a[3]*b[1]*c[2]]*f[a[2]*b[1]*c[3]])/
   31381059609 + (8952217600*f[a[1]^3*a[3]]*f[a[3]*b[1]*c[2]]*
     f[a[2]*b[1]*c[3]])/282429536481 - 
  (21984256000*f[a[3]^2]*f[a[3]*b[1]*c[2]]*f[a[2]*b[1]*c[3]])/
   94143178827 + (9227468800*f[a[2]*a[4]]*f[a[3]*b[1]*c[2]]*
     f[a[2]*b[1]*c[3]])/94143178827 - 
  (1900544000*f[a[1]*a[5]]*f[a[3]*b[1]*c[2]]*f[a[2]*b[1]*c[3]])/
   282429536481 + (1024000*f[b[1]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[a[2]*b[1]*c[3]])/14348907 - 
  (8806400*f[a[1]^2*b[1]*c[1]]*f[a[3]*b[1]*c[2]]*f[a[2]*b[1]*c[3]])/
   1162261467 + (11264000*f[a[1]^4*b[1]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[a[2]*b[1]*c[3]])/10460353203 + 
  (550912000*f[a[2]^2*b[1]*c[1]]*f[a[3]*b[1]*c[2]]*f[a[2]*b[1]*c[3]])/
   3486784401 - (1664614400*f[a[1]*a[3]*b[1]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[a[2]*b[1]*c[3]])/31381059609 - 
  (3355443200*f[a[1]*a[2]*b[2]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[a[2]*b[1]*c[3]])/31381059609 - 
  (1205862400*f[b[3]*c[1]]*f[a[3]*b[1]*c[2]]*f[a[2]*b[1]*c[3]])/
   10460353203 + (10370416640*f[a[1]^2*b[3]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[a[2]*b[1]*c[3]])/847288609443 - 
  (9175040000*f[b[5]*c[1]]*f[a[3]*b[1]*c[2]]*f[a[2]*b[1]*c[3]])/
   282429536481 - (5447680*f[a[2]]*f[b[2]*c[2]]*f[a[2]*b[1]*c[3]])/
   14348907 + (27238400*f[a[1]^2*a[2]]*f[b[2]*c[2]]*f[a[2]*b[1]*c[3]])/
   387420489 - (136192000*f[a[1]^4*a[2]]*f[b[2]*c[2]]*
     f[a[2]*b[1]*c[3]])/3486784401 - 
  (141639680*f[a[2]^3]*f[b[2]*c[2]]*f[a[2]*b[1]*c[3]])/1162261467 - 
  (174325760*f[a[1]*a[2]*a[3]]*f[b[2]*c[2]]*f[a[2]*b[1]*c[3]])/
   3486784401 + (21790720*f[a[4]]*f[b[2]*c[2]]*f[a[2]*b[1]*c[3]])/
   1162261467 - (108953600*f[a[1]^2*a[4]]*f[b[2]*c[2]]*
     f[a[2]*b[1]*c[3]])/31381059609 - 
  (59924480*f[a[6]]*f[b[2]*c[2]]*f[a[2]*b[1]*c[3]])/3486784401 - 
  (254320640*f[a[2]*b[1]*c[1]]*f[b[2]*c[2]]*f[a[2]*b[1]*c[3]])/
   1162261467 + (1271603200*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[2]*c[2]]*
     f[a[2]*b[1]*c[3]])/31381059609 + 
  (1017282560*f[a[4]*b[1]*c[1]]*f[b[2]*c[2]]*f[a[2]*b[1]*c[3]])/
   94143178827 - (10436608*f[a[1]*b[2]*c[1]]*f[b[2]*c[2]]*
     f[a[2]*b[1]*c[3]])/129140163 + 
  (52183040*f[a[1]^3*b[2]*c[1]]*f[b[2]*c[2]]*f[a[2]*b[1]*c[3]])/
   1162261467 - (52183040*f[a[3]*b[2]*c[1]]*f[b[2]*c[2]]*
     f[a[2]*b[1]*c[3]])/387420489 - 
  (9057370112*f[a[2]*b[3]*c[1]]*f[b[2]*c[2]]*f[a[2]*b[1]*c[3]])/
   31381059609 - (13901332480*f[a[1]*b[4]*c[1]]*f[b[2]*c[2]]*
     f[a[2]*b[1]*c[3]])/94143178827 + 
  (81305600*f[a[1]*b[1]*c[2]]*f[b[2]*c[2]]*f[a[2]*b[1]*c[3]])/
   1162261467 - (406528000*f[a[1]^3*b[1]*c[2]]*f[b[2]*c[2]]*
     f[a[2]*b[1]*c[3]])/10460353203 + 
  (406528000*f[a[3]*b[1]*c[2]]*f[b[2]*c[2]]*f[a[2]*b[1]*c[3]])/
   3486784401 - (174325760*f[a[1]*a[2]]*f[a[1]*b[2]*c[2]]*
     f[a[2]*b[1]*c[3]])/1162261467 + 
  (871628800*f[a[1]^3*a[2]]*f[a[1]*b[2]*c[2]]*f[a[2]*b[1]*c[3]])/
   10460353203 + (174325760*f[a[2]*a[3]]*f[a[1]*b[2]*c[2]]*
     f[a[2]*b[1]*c[3]])/1162261467 - 
  (697303040*f[a[1]*a[4]]*f[a[1]*b[2]*c[2]]*f[a[2]*b[1]*c[3]])/
   31381059609 - (8138260480*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[2]]*
     f[a[2]*b[1]*c[3]])/94143178827 + 
  (10436608*f[b[2]*c[1]]*f[a[1]*b[2]*c[2]]*f[a[2]*b[1]*c[3]])/
   129140163 - (386154496*f[a[1]^2*b[2]*c[1]]*f[a[1]*b[2]*c[2]]*
     f[a[2]*b[1]*c[3]])/3486784401 + 
  (13901332480*f[b[4]*c[1]]*f[a[1]*b[2]*c[2]]*f[a[2]*b[1]*c[3]])/
   94143178827 - (81305600*f[b[1]*c[2]]*f[a[1]*b[2]*c[2]]*
     f[a[2]*b[1]*c[3]])/1162261467 + 
  (3008307200*f[a[1]^2*b[1]*c[2]]*f[a[1]*b[2]*c[2]]*f[a[2]*b[1]*c[3]])/
   31381059609 - (92610560*f[a[2]]*f[a[1]^2*b[2]*c[2]]*
     f[a[2]*b[1]*c[3]])/1162261467 - 
  (2326159360*f[a[1]^2*a[2]]*f[a[1]^2*b[2]*c[2]]*f[a[2]*b[1]*c[3]])/
   31381059609 + (8525619200*f[a[1]^4*a[2]]*f[a[1]^2*b[2]*c[2]]*
     f[a[2]*b[1]*c[3]])/94143178827 - 
  (15678423040*f[a[2]^3]*f[a[1]^2*b[2]*c[2]]*f[a[2]*b[1]*c[3]])/
   31381059609 + (14817689600*f[a[1]*a[2]*a[3]]*f[a[1]^2*b[2]*c[2]]*
     f[a[2]*b[1]*c[3]])/94143178827 + 
  (1982955520*f[a[4]]*f[a[1]^2*b[2]*c[2]]*f[a[2]*b[1]*c[3]])/
   31381059609 - (7299891200*f[a[1]^2*a[4]]*f[a[1]^2*b[2]*c[2]]*
     f[a[2]*b[1]*c[3]])/94143178827 - 
  (4058521600*f[a[6]]*f[a[1]^2*b[2]*c[2]]*f[a[2]*b[1]*c[3]])/
   94143178827 - (4323450880*f[a[2]*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]]*
     f[a[2]*b[1]*c[3]])/94143178827 - 
  (108594913280*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]]*
     f[a[2]*b[1]*c[3]])/2541865828329 + 
  (92572712960*f[a[4]*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]]*
     f[a[2]*b[1]*c[3]])/2541865828329 + 
  (386154496*f[a[1]*b[2]*c[1]]*f[a[1]^2*b[2]*c[2]]*f[a[2]*b[1]*c[3]])/
   3486784401 - (7274315776*f[a[1]^3*b[2]*c[1]]*f[a[1]^2*b[2]*c[2]]*
     f[a[2]*b[1]*c[3]])/31381059609 + 
  (448774144*f[a[3]*b[2]*c[1]]*f[a[1]^2*b[2]*c[2]]*f[a[2]*b[1]*c[3]])/
   31381059609 - (153975291904*f[a[2]*b[3]*c[1]]*f[a[1]^2*b[2]*c[2]]*
     f[a[2]*b[1]*c[3]])/2541865828329 + 
  (514349301760*f[a[1]*b[4]*c[1]]*f[a[1]^2*b[2]*c[2]]*
     f[a[2]*b[1]*c[3]])/2541865828329 - 
  (3008307200*f[a[1]*b[1]*c[2]]*f[a[1]^2*b[2]*c[2]]*f[a[2]*b[1]*c[3]])/
   31381059609 + (56670003200*f[a[1]^3*b[1]*c[2]]*f[a[1]^2*b[2]*c[2]]*
     f[a[2]*b[1]*c[3]])/282429536481 - 
  (3496140800*f[a[3]*b[1]*c[2]]*f[a[1]^2*b[2]*c[2]]*f[a[2]*b[1]*c[3]])/
   282429536481 - (5447680*f[1]*f[a[2]*b[2]*c[2]]*f[a[2]*b[1]*c[3]])/
   14348907 - (92610560*f[a[1]^2]*f[a[2]*b[2]*c[2]]*f[a[2]*b[1]*c[3]])/
   1162261467 + (1334681600*f[a[1]^4]*f[a[2]*b[2]*c[2]]*
     f[a[2]*b[1]*c[3]])/10460353203 - 
  (680960000*f[a[1]^6]*f[a[2]*b[2]*c[2]]*f[a[2]*b[1]*c[3]])/
   3486784401 + (10895360*f[a[2]^2]*f[a[2]*b[2]*c[2]]*
     f[a[2]*b[1]*c[3]])/14348907 - 
  (44246056960*f[a[1]^2*a[2]^2]*f[a[2]*b[2]*c[2]]*f[a[2]*b[1]*c[3]])/
   282429536481 - (348651520*f[a[1]*a[3]]*f[a[2]*b[2]*c[2]]*
     f[a[2]*b[1]*c[3]])/1162261467 + 
  (10110894080*f[a[1]^3*a[3]]*f[a[2]*b[2]*c[2]]*f[a[2]*b[1]*c[3]])/
   94143178827 - (34358517760*f[a[3]^2]*f[a[2]*b[2]*c[2]]*
     f[a[2]*b[1]*c[3]])/94143178827 + 
  (40094924800*f[a[1]*a[5]]*f[a[2]*b[2]*c[2]]*f[a[2]*b[1]*c[3]])/
   282429536481 - (254320640*f[b[1]*c[1]]*f[a[2]*b[2]*c[2]]*
     f[a[2]*b[1]*c[3]])/1162261467 - 
  (4323450880*f[a[1]^2*b[1]*c[1]]*f[a[2]*b[2]*c[2]]*f[a[2]*b[1]*c[3]])/
   94143178827 + (62308556800*f[a[1]^4*b[1]*c[1]]*f[a[2]*b[2]*c[2]]*
     f[a[2]*b[1]*c[3]])/847288609443 + 
  (508641280*f[a[2]^2*b[1]*c[1]]*f[a[2]*b[2]*c[2]]*f[a[2]*b[1]*c[3]])/
   1162261467 - (16276520960*f[a[1]*a[3]*b[1]*c[1]]*f[a[2]*b[2]*c[2]]*
     f[a[2]*b[1]*c[3]])/94143178827 - 
  (9057370112*f[b[3]*c[1]]*f[a[2]*b[2]*c[2]]*f[a[2]*b[1]*c[3]])/
   31381059609 - (153975291904*f[a[1]^2*b[3]*c[1]]*f[a[2]*b[2]*c[2]]*
     f[a[2]*b[1]*c[3]])/2541865828329 - 
  (41107619840*f[b[5]*c[1]]*f[a[2]*b[2]*c[2]]*f[a[2]*b[1]*c[3]])/
   282429536481 + (2130206720*f[b[2]*c[2]]*f[a[2]*b[2]*c[2]]*
     f[a[2]*b[1]*c[3]])/3486784401 + 
  (36213514240*f[a[1]^2*b[2]*c[2]]*f[a[2]*b[2]*c[2]]*
     f[a[2]*b[1]*c[3]])/282429536481 + 
  (45015040*f[a[1]]*f[b[3]*c[2]]*f[a[2]*b[1]*c[3]])/129140163 - 
  (225075200*f[a[1]^3]*f[b[3]*c[2]]*f[a[2]*b[1]*c[3]])/1162261467 + 
  (5626880000*f[a[1]^5]*f[b[3]*c[2]]*f[a[2]*b[1]*c[3]])/31381059609 + 
  (1170391040*f[a[1]*a[2]^2]*f[b[3]*c[2]]*f[a[2]*b[1]*c[3]])/
   31381059609 + (225075200*f[a[3]]*f[b[3]*c[2]]*f[a[2]*b[1]*c[3]])/
   387420489 - (495165440*f[a[1]^2*a[3]]*f[b[3]*c[2]]*
     f[a[2]*b[1]*c[3]])/31381059609 - 
  (2475827200*f[a[5]]*f[b[3]*c[2]]*f[a[2]*b[1]*c[3]])/10460353203 + 
  (879861760*f[a[1]*b[1]*c[1]]*f[b[3]*c[2]]*f[a[2]*b[1]*c[3]])/
   3486784401 - (4399308800*f[a[1]^3*b[1]*c[1]]*f[b[3]*c[2]]*
     f[a[2]*b[1]*c[3]])/31381059609 + 
  (4399308800*f[a[3]*b[1]*c[1]]*f[b[3]*c[2]]*f[a[2]*b[1]*c[3]])/
   10460353203 - (5330960384*f[a[2]*b[2]*c[1]]*f[b[3]*c[2]]*
     f[a[2]*b[1]*c[3]])/10460353203 - 
  (27262976*f[a[1]*b[3]*c[1]]*f[b[3]*c[2]]*f[a[2]*b[1]*c[3]])/
   1162261467 - (6081740800*f[a[2]*b[1]*c[2]]*f[b[3]*c[2]]*
     f[a[2]*b[1]*c[3]])/31381059609 - 
  (2198773760*f[a[1]*b[2]*c[2]]*f[b[3]*c[2]]*f[a[2]*b[1]*c[3]])/
   31381059609 - (45015040*f[1]*f[a[1]*b[3]*c[2]]*f[a[2]*b[1]*c[3]])/
   129140163 + (1665556480*f[a[1]^2]*f[a[1]*b[3]*c[2]]*
     f[a[2]*b[1]*c[3]])/3486784401 - 
  (5176729600*f[a[1]^4]*f[a[1]*b[3]*c[2]]*f[a[2]*b[1]*c[3]])/
   10460353203 + (568314880000*f[a[1]^6]*f[a[1]*b[3]*c[2]]*
     f[a[2]*b[1]*c[3]])/847288609443 - 
  (24218091520*f[a[2]^2]*f[a[1]*b[3]*c[2]]*f[a[2]*b[1]*c[3]])/
   31381059609 + (52847656960*f[a[1]^2*a[2]^2]*f[a[1]*b[3]*c[2]]*
     f[a[2]*b[1]*c[3]])/282429536481 + 
  (2880962560*f[a[1]*a[3]]*f[a[1]*b[3]*c[2]]*f[a[2]*b[1]*c[3]])/
   10460353203 + (2880962560*f[a[1]^3*a[3]]*f[a[1]*b[3]*c[2]]*
     f[a[2]*b[1]*c[3]])/282429536481 - 
  (24623226880*f[a[3]^2]*f[a[1]*b[3]*c[2]]*f[a[2]*b[1]*c[3]])/
   847288609443 + (184381603840*f[a[2]*a[4]]*f[a[1]*b[3]*c[2]]*
     f[a[2]*b[1]*c[3]])/847288609443 - 
  (72024064000*f[a[1]*a[5]]*f[a[1]*b[3]*c[2]]*f[a[2]*b[1]*c[3]])/
   847288609443 - (879861760*f[b[1]*c[1]]*f[a[1]*b[3]*c[2]]*
     f[a[2]*b[1]*c[3]])/3486784401 + 
  (32554885120*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[3]*c[2]]*
     f[a[2]*b[1]*c[3]])/94143178827 - 
  (101184102400*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[3]*c[2]]*
     f[a[2]*b[1]*c[3]])/282429536481 - 
  (473365626880*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[3]*c[2]]*
     f[a[2]*b[1]*c[3]])/847288609443 + 
  (56311152640*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*b[3]*c[2]]*
     f[a[2]*b[1]*c[3]])/282429536481 - 
  (170590732288*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]*b[3]*c[2]]*
     f[a[2]*b[1]*c[3]])/847288609443 + 
  (27262976*f[b[3]*c[1]]*f[a[1]*b[3]*c[2]]*f[a[2]*b[1]*c[3]])/
   1162261467 - (1008730112*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[3]*c[2]]*
     f[a[2]*b[1]*c[3]])/31381059609 - 
  (80855695360*f[b[5]*c[1]]*f[a[1]*b[3]*c[2]]*f[a[2]*b[1]*c[3]])/
   2541865828329 - (194615705600*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[1]*b[3]*c[2]]*f[a[2]*b[1]*c[3]])/2541865828329 + 
  (2198773760*f[b[2]*c[2]]*f[a[1]*b[3]*c[2]]*f[a[2]*b[1]*c[3]])/
   31381059609 - (81354629120*f[a[1]^2*b[2]*c[2]]*f[a[1]*b[3]*c[2]]*
     f[a[2]*b[1]*c[3]])/847288609443 - 
  (881459200*f[a[2]]*f[b[4]*c[2]]*f[a[2]*b[1]*c[3]])/1162261467 + 
  (4407296000*f[a[1]^2*a[2]]*f[b[4]*c[2]]*f[a[2]*b[1]*c[3]])/
   31381059609 - (22036480000*f[a[1]^4*a[2]]*f[b[4]*c[2]]*
     f[a[2]*b[1]*c[3]])/282429536481 - 
  (22917939200*f[a[2]^3]*f[b[4]*c[2]]*f[a[2]*b[1]*c[3]])/94143178827 - 
  (28206694400*f[a[1]*a[2]*a[3]]*f[b[4]*c[2]]*f[a[2]*b[1]*c[3]])/
   282429536481 + (3525836800*f[a[4]]*f[b[4]*c[2]]*f[a[2]*b[1]*c[3]])/
   94143178827 - (17629184000*f[a[1]^2*a[4]]*f[b[4]*c[2]]*
     f[a[2]*b[1]*c[3]])/2541865828329 - 
  (9696051200*f[a[6]]*f[b[4]*c[2]]*f[a[2]*b[1]*c[3]])/282429536481 - 
  (5835980800*f[a[2]*b[1]*c[1]]*f[b[4]*c[2]]*f[a[2]*b[1]*c[3]])/
   10460353203 + (29179904000*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[4]*c[2]]*
     f[a[2]*b[1]*c[3]])/282429536481 + 
  (23343923200*f[a[4]*b[1]*c[1]]*f[b[4]*c[2]]*f[a[2]*b[1]*c[3]])/
   847288609443 + (7444889600*f[a[1]*b[2]*c[1]]*f[b[4]*c[2]]*
     f[a[2]*b[1]*c[3]])/31381059609 - 
  (37224448000*f[a[1]^3*b[2]*c[1]]*f[b[4]*c[2]]*f[a[2]*b[1]*c[3]])/
   282429536481 + (37224448000*f[a[3]*b[2]*c[1]]*f[b[4]*c[2]]*
     f[a[2]*b[1]*c[3]])/94143178827 + 
  (85479915520*f[a[2]*b[3]*c[1]]*f[b[4]*c[2]]*f[a[2]*b[1]*c[3]])/
   847288609443 + (8598323200*f[a[1]*b[4]*c[1]]*f[b[4]*c[2]]*
     f[a[2]*b[1]*c[3]])/94143178827 + 
  (2883584000*f[a[1]*b[1]*c[2]]*f[b[4]*c[2]]*f[a[2]*b[1]*c[3]])/
   31381059609 - (14417920000*f[a[1]^3*b[1]*c[2]]*f[b[4]*c[2]]*
     f[a[2]*b[1]*c[3]])/282429536481 + 
  (14417920000*f[a[3]*b[1]*c[2]]*f[b[4]*c[2]]*f[a[2]*b[1]*c[3]])/
   94143178827 + (106820403200*f[a[2]*b[2]*c[2]]*f[b[4]*c[2]]*
     f[a[2]*b[1]*c[3]])/282429536481 - 
  (326264422400*f[a[1]*b[3]*c[2]]*f[b[4]*c[2]]*f[a[2]*b[1]*c[3]])/
   2541865828329 - (56811520*f[a[2]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[2]*b[1]*c[3]])/387420489 + 
  (284057600*f[a[1]^2*a[2]]*f[b[1]*b[2]*c[1]*c[2]]*f[a[2]*b[1]*c[3]])/
   10460353203 - (1420288000*f[a[1]^4*a[2]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[2]*b[1]*c[3]])/94143178827 - 
  (1477099520*f[a[2]^3]*f[b[1]*b[2]*c[1]*c[2]]*f[a[2]*b[1]*c[3]])/
   31381059609 - (1817968640*f[a[1]*a[2]*a[3]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[2]*b[1]*c[3]])/94143178827 + 
  (227246080*f[a[4]]*f[b[1]*b[2]*c[1]*c[2]]*f[a[2]*b[1]*c[3]])/
   31381059609 - (1136230400*f[a[1]^2*a[4]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[2]*b[1]*c[3]])/847288609443 - 
  (624926720*f[a[6]]*f[b[1]*b[2]*c[1]*c[2]]*f[a[2]*b[1]*c[3]])/
   94143178827 + (16506880*f[a[2]*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[2]*b[1]*c[3]])/1162261467 - 
  (82534400*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[2]*b[1]*c[3]])/31381059609 - 
  (66027520*f[a[4]*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[2]*b[1]*c[3]])/94143178827 - 
  (10875650048*f[a[1]*b[2]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[2]*b[1]*c[3]])/94143178827 + 
  (54378250240*f[a[1]^3*b[2]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[2]*b[1]*c[3]])/847288609443 - 
  (54378250240*f[a[3]*b[2]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[2]*b[1]*c[3]])/282429536481 - 
  (37048385536*f[a[2]*b[3]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[2]*b[1]*c[3]])/847288609443 - 
  (40596766720*f[a[1]*b[4]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[2]*b[1]*c[3]])/847288609443 + 
  (81305600*f[a[1]*b[1]*c[2]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[2]*b[1]*c[3]])/1162261467 - 
  (406528000*f[a[1]^3*b[1]*c[2]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[2]*b[1]*c[3]])/10460353203 + 
  (406528000*f[a[3]*b[1]*c[2]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[2]*b[1]*c[3]])/3486784401 + 
  (121877094400*f[a[2]*b[2]*c[2]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[2]*b[1]*c[3]])/282429536481 - 
  (679239680*f[a[1]*b[3]*c[2]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[2]*b[1]*c[3]])/282429536481 - 
  (819200*f[a[2]]*f[b[1]*c[3]]*f[a[2]*b[1]*c[3]])/14348907 + 
  (4096000*f[a[1]^2*a[2]]*f[b[1]*c[3]]*f[a[2]*b[1]*c[3]])/387420489 - 
  (20480000*f[a[1]^4*a[2]]*f[b[1]*c[3]]*f[a[2]*b[1]*c[3]])/3486784401 - 
  (21299200*f[a[2]^3]*f[b[1]*c[3]]*f[a[2]*b[1]*c[3]])/1162261467 - 
  (26214400*f[a[1]*a[2]*a[3]]*f[b[1]*c[3]]*f[a[2]*b[1]*c[3]])/
   3486784401 + (3276800*f[a[4]]*f[b[1]*c[3]]*f[a[2]*b[1]*c[3]])/
   1162261467 - (16384000*f[a[1]^2*a[4]]*f[b[1]*c[3]]*
     f[a[2]*b[1]*c[3]])/31381059609 - 
  (9011200*f[a[6]]*f[b[1]*c[3]]*f[a[2]*b[1]*c[3]])/3486784401 - 
  (819200*f[a[2]*b[1]*c[1]]*f[b[1]*c[3]]*f[a[2]*b[1]*c[3]])/14348907 + 
  (4096000*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[1]*c[3]]*f[a[2]*b[1]*c[3]])/
   387420489 + (3276800*f[a[4]*b[1]*c[1]]*f[b[1]*c[3]]*
     f[a[2]*b[1]*c[3]])/1162261467 - 
  (2684354560*f[a[2]*b[3]*c[1]]*f[b[1]*c[3]]*f[a[2]*b[1]*c[3]])/
   10460353203 - (451379200*f[a[2]*b[2]*c[2]]*f[b[1]*c[3]]*
     f[a[2]*b[1]*c[3]])/10460353203 - 
  (26214400*f[a[1]*a[2]]*f[a[1]*b[1]*c[3]]*f[a[2]*b[1]*c[3]])/
   1162261467 + (131072000*f[a[1]^3*a[2]]*f[a[1]*b[1]*c[3]]*
     f[a[2]*b[1]*c[3]])/10460353203 + 
  (26214400*f[a[2]*a[3]]*f[a[1]*b[1]*c[3]]*f[a[2]*b[1]*c[3]])/
   1162261467 - (104857600*f[a[1]*a[4]]*f[a[1]*b[1]*c[3]]*
     f[a[2]*b[1]*c[3]])/31381059609 - 
  (26214400*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[3]]*
     f[a[2]*b[1]*c[3]])/1162261467 - 
  (13926400*f[a[2]]*f[a[1]^2*b[1]*c[3]]*f[a[2]*b[1]*c[3]])/1162261467 - 
  (349798400*f[a[1]^2*a[2]]*f[a[1]^2*b[1]*c[3]]*f[a[2]*b[1]*c[3]])/
   31381059609 + (1282048000*f[a[1]^4*a[2]]*f[a[1]^2*b[1]*c[3]]*
     f[a[2]*b[1]*c[3]])/94143178827 - 
  (2357657600*f[a[2]^3]*f[a[1]^2*b[1]*c[3]]*f[a[2]*b[1]*c[3]])/
   31381059609 + (2228224000*f[a[1]*a[2]*a[3]]*f[a[1]^2*b[1]*c[3]]*
     f[a[2]*b[1]*c[3]])/94143178827 + 
  (298188800*f[a[4]]*f[a[1]^2*b[1]*c[3]]*f[a[2]*b[1]*c[3]])/
   31381059609 - (1097728000*f[a[1]^2*a[4]]*f[a[1]^2*b[1]*c[3]]*
     f[a[2]*b[1]*c[3]])/94143178827 - 
  (610304000*f[a[6]]*f[a[1]^2*b[1]*c[3]]*f[a[2]*b[1]*c[3]])/
   94143178827 - (13926400*f[a[2]*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]]*
     f[a[2]*b[1]*c[3]])/1162261467 - 
  (349798400*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]]*
     f[a[2]*b[1]*c[3]])/31381059609 + 
  (298188800*f[a[4]*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]]*f[a[2]*b[1]*c[3]])/
   31381059609 - (45634027520*f[a[2]*b[3]*c[1]]*f[a[1]^2*b[1]*c[3]]*
     f[a[2]*b[1]*c[3]])/847288609443 - 
  (7673446400*f[a[2]*b[2]*c[2]]*f[a[1]^2*b[1]*c[3]]*f[a[2]*b[1]*c[3]])/
   847288609443 - (409600*f[1]*f[a[2]*b[1]*c[3]]^2)/14348907 - 
  (6963200*f[a[1]^2]*f[a[2]*b[1]*c[3]]^2)/1162261467 + 
  (100352000*f[a[1]^4]*f[a[2]*b[1]*c[3]]^2)/10460353203 - 
  (51200000*f[a[1]^6]*f[a[2]*b[1]*c[3]]^2)/3486784401 + 
  (819200*f[a[2]^2]*f[a[2]*b[1]*c[3]]^2)/14348907 - 
  (3326771200*f[a[1]^2*a[2]^2]*f[a[2]*b[1]*c[3]]^2)/282429536481 - 
  (26214400*f[a[1]*a[3]]*f[a[2]*b[1]*c[3]]^2)/1162261467 + 
  (760217600*f[a[1]^3*a[3]]*f[a[2]*b[1]*c[3]]^2)/94143178827 - 
  (2583347200*f[a[3]^2]*f[a[2]*b[1]*c[3]]^2)/94143178827 + 
  (3014656000*f[a[1]*a[5]]*f[a[2]*b[1]*c[3]]^2)/282429536481 - 
  (409600*f[b[1]*c[1]]*f[a[2]*b[1]*c[3]]^2)/14348907 - 
  (6963200*f[a[1]^2*b[1]*c[1]]*f[a[2]*b[1]*c[3]]^2)/1162261467 + 
  (100352000*f[a[1]^4*b[1]*c[1]]*f[a[2]*b[1]*c[3]]^2)/10460353203 + 
  (819200*f[a[2]^2*b[1]*c[1]]*f[a[2]*b[1]*c[3]]^2)/14348907 - 
  (26214400*f[a[1]*a[3]*b[1]*c[1]]*f[a[2]*b[1]*c[3]]^2)/1162261467 - 
  (1342177280*f[b[3]*c[1]]*f[a[2]*b[1]*c[3]]^2)/10460353203 - 
  (22817013760*f[a[1]^2*b[3]*c[1]]*f[a[2]*b[1]*c[3]]^2)/847288609443 - 
  (6710886400*f[b[5]*c[1]]*f[a[2]*b[1]*c[3]]^2)/282429536481 - 
  (225689600*f[b[2]*c[2]]*f[a[2]*b[1]*c[3]]^2)/10460353203 - 
  (3836723200*f[a[1]^2*b[2]*c[2]]*f[a[2]*b[1]*c[3]]^2)/847288609443 - 
  (11534336000*f[b[4]*c[2]]*f[a[2]*b[1]*c[3]]^2)/282429536481 - 
  (225689600*f[b[1]*b[2]*c[1]*c[2]]*f[a[2]*b[1]*c[3]]^2)/10460353203 - 
  (409600*f[a[2]]*f[a[1]*b[1]*c[1]]*f[b[2]*c[3]])/4782969 + 
  (2048000*f[a[1]^2*a[2]]*f[a[1]*b[1]*c[1]]*f[b[2]*c[3]])/129140163 - 
  (10240000*f[a[1]^4*a[2]]*f[a[1]*b[1]*c[1]]*f[b[2]*c[3]])/1162261467 - 
  (10649600*f[a[2]^3]*f[a[1]*b[1]*c[1]]*f[b[2]*c[3]])/387420489 - 
  (13107200*f[a[1]*a[2]*a[3]]*f[a[1]*b[1]*c[1]]*f[b[2]*c[3]])/
   1162261467 + (1638400*f[a[4]]*f[a[1]*b[1]*c[1]]*f[b[2]*c[3]])/
   43046721 - (8192000*f[a[1]^2*a[4]]*f[a[1]*b[1]*c[1]]*f[b[2]*c[3]])/
   1162261467 - (10240000*f[a[6]]*f[a[1]*b[1]*c[1]]*f[b[2]*c[3]])/
   387420489 - (13107200*f[a[1]*a[2]]*f[a[1]^2*b[1]*c[1]]*
     f[b[2]*c[3]])/129140163 + 
  (65536000*f[a[1]^3*a[2]]*f[a[1]^2*b[1]*c[1]]*f[b[2]*c[3]])/
   1162261467 + (13107200*f[a[2]*a[3]]*f[a[1]^2*b[1]*c[1]]*
     f[b[2]*c[3]])/1162261467 + 
  (52428800*f[a[1]*a[4]]*f[a[1]^2*b[1]*c[1]]*f[b[2]*c[3]])/1162261467 + 
  (2048000*f[a[2]]*f[a[1]^3*b[1]*c[1]]*f[b[2]*c[3]])/43046721 - 
  (73318400*f[a[1]^2*a[2]]*f[a[1]^3*b[1]*c[1]]*f[b[2]*c[3]])/
   387420489 + (2148352000*f[a[1]^4*a[2]]*f[a[1]^3*b[1]*c[1]]*
     f[b[2]*c[3]])/10460353203 - 
  (2876211200*f[a[2]^3]*f[a[1]^3*b[1]*c[1]]*f[b[2]*c[3]])/31381059609 + 
  (91750400*f[a[1]*a[2]*a[3]]*f[a[1]^3*b[1]*c[1]]*f[b[2]*c[3]])/
   3486784401 - (8192000*f[a[4]]*f[a[1]^3*b[1]*c[1]]*f[b[2]*c[3]])/
   387420489 + (293273600*f[a[1]^2*a[4]]*f[a[1]^3*b[1]*c[1]]*
     f[b[2]*c[3]])/3486784401 + 
  (51200000*f[a[6]]*f[a[1]^3*b[1]*c[1]]*f[b[2]*c[3]])/3486784401 + 
  (131072000*f[a[1]*a[2]]*f[a[1]^4*b[1]*c[1]]*f[b[2]*c[3]])/
   1162261467 - (15387852800*f[a[1]^3*a[2]]*f[a[1]^4*b[1]*c[1]]*
     f[b[2]*c[3]])/31381059609 - 
  (131072000*f[a[2]*a[3]]*f[a[1]^4*b[1]*c[1]]*f[b[2]*c[3]])/
   10460353203 - (524288000*f[a[1]*a[4]]*f[a[1]^4*b[1]*c[1]]*
     f[b[2]*c[3]])/10460353203 + 
  (409600*f[a[1]]*f[a[2]*b[1]*c[1]]*f[b[2]*c[3]])/4782969 - 
  (2048000*f[a[1]^3]*f[a[2]*b[1]*c[1]]*f[b[2]*c[3]])/43046721 + 
  (51200000*f[a[1]^5]*f[a[2]*b[1]*c[1]]*f[b[2]*c[3]])/1162261467 + 
  (10649600*f[a[1]*a[2]^2]*f[a[2]*b[1]*c[1]]*f[b[2]*c[3]])/1162261467 + 
  (2048000*f[a[3]]*f[a[2]*b[1]*c[1]]*f[b[2]*c[3]])/14348907 - 
  (4505600*f[a[1]^2*a[3]]*f[a[2]*b[1]*c[1]]*f[b[2]*c[3]])/1162261467 - 
  (22528000*f[a[5]]*f[a[2]*b[1]*c[1]]*f[b[2]*c[3]])/387420489 + 
  (13107200*f[a[1]^2]*f[a[1]*a[2]*b[1]*c[1]]*f[b[2]*c[3]])/129140163 - 
  (131072000*f[a[1]^4]*f[a[1]*a[2]*b[1]*c[1]]*f[b[2]*c[3]])/
   1162261467 + (1638400000*f[a[1]^6]*f[a[1]*a[2]*b[1]*c[1]]*
     f[b[2]*c[3]])/10460353203 + 
  (209715200*f[a[2]^2]*f[a[1]*a[2]*b[1]*c[1]]*f[b[2]*c[3]])/
   1162261467 - (26214400*f[a[1]^2*a[2]^2]*f[a[1]*a[2]*b[1]*c[1]]*
     f[b[2]*c[3]])/1162261467 + 
  (91750400*f[a[1]*a[3]]*f[a[1]*a[2]*b[1]*c[1]]*f[b[2]*c[3]])/
   1162261467 - (13107200*f[a[1]^3*a[3]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[b[2]*c[3]])/3486784401 - 
  (65536000*f[a[3]^2]*f[a[1]*a[2]*b[1]*c[1]]*f[b[2]*c[3]])/3486784401 - 
  (4194304000*f[a[2]*a[4]]*f[a[1]*a[2]*b[1]*c[1]]*f[b[2]*c[3]])/
   94143178827 - (2818048000*f[a[1]*a[5]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[b[2]*c[3]])/94143178827 - 
  (2048000*f[a[1]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[2]*c[3]])/129140163 + 
  (73318400*f[a[1]^3]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[2]*c[3]])/
   387420489 - (10741760000*f[a[1]^5]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[b[2]*c[3]])/31381059609 + 
  (23328358400*f[a[1]*a[2]^2]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[2]*c[3]])/
   94143178827 - (10240000*f[a[3]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[b[2]*c[3]])/387420489 + 
  (916275200*f[a[1]^2*a[3]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[2]*c[3]])/
   10460353203 + (112640000*f[a[5]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[b[2]*c[3]])/10460353203 - 
  (209715200*f[a[1]*a[2]]*f[a[2]^2*b[1]*c[1]]*f[b[2]*c[3]])/
   1162261467 + (1048576000*f[a[1]^3*a[2]]*f[a[2]^2*b[1]*c[1]]*
     f[b[2]*c[3]])/10460353203 - 
  (1048576000*f[a[2]*a[3]]*f[a[2]^2*b[1]*c[1]]*f[b[2]*c[3]])/
   3486784401 + (838860800*f[a[1]*a[4]]*f[a[2]^2*b[1]*c[1]]*
     f[b[2]*c[3]])/94143178827 - 
  (2048000*f[a[2]]*f[a[3]*b[1]*c[1]]*f[b[2]*c[3]])/14348907 + 
  (10240000*f[a[1]^2*a[2]]*f[a[3]*b[1]*c[1]]*f[b[2]*c[3]])/387420489 - 
  (51200000*f[a[1]^4*a[2]]*f[a[3]*b[1]*c[1]]*f[b[2]*c[3]])/3486784401 - 
  (53248000*f[a[2]^3]*f[a[3]*b[1]*c[1]]*f[b[2]*c[3]])/1162261467 - 
  (65536000*f[a[1]*a[2]*a[3]]*f[a[3]*b[1]*c[1]]*f[b[2]*c[3]])/
   3486784401 - (80281600*f[a[4]]*f[a[3]*b[1]*c[1]]*f[b[2]*c[3]])/
   387420489 + (401408000*f[a[1]^2*a[4]]*f[a[3]*b[1]*c[1]]*
     f[b[2]*c[3]])/10460353203 + 
  (2602188800*f[a[6]]*f[a[3]*b[1]*c[1]]*f[b[2]*c[3]])/31381059609 - 
  (91750400*f[a[1]*a[2]]*f[a[1]*a[3]*b[1]*c[1]]*f[b[2]*c[3]])/
   1162261467 + (458752000*f[a[1]^3*a[2]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[b[2]*c[3]])/10460353203 - 
  (3919052800*f[a[2]*a[3]]*f[a[1]*a[3]*b[1]*c[1]]*f[b[2]*c[3]])/
   31381059609 - (1310720000*f[a[1]*a[4]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[b[2]*c[3]])/10460353203 - 
  (1638400*f[a[1]]*f[a[4]*b[1]*c[1]]*f[b[2]*c[3]])/43046721 + 
  (8192000*f[a[1]^3]*f[a[4]*b[1]*c[1]]*f[b[2]*c[3]])/387420489 - 
  (204800000*f[a[1]^5]*f[a[4]*b[1]*c[1]]*f[b[2]*c[3]])/10460353203 - 
  (42598400*f[a[1]*a[2]^2]*f[a[4]*b[1]*c[1]]*f[b[2]*c[3]])/
   10460353203 + (80281600*f[a[3]]*f[a[4]*b[1]*c[1]]*f[b[2]*c[3]])/
   387420489 - (168755200*f[a[1]^2*a[3]]*f[a[4]*b[1]*c[1]]*
     f[b[2]*c[3]])/3486784401 + 
  (24977408000*f[a[5]]*f[a[4]*b[1]*c[1]]*f[b[2]*c[3]])/94143178827 - 
  (48640*f[1]*f[b[2]*c[1]]*f[b[2]*c[3]])/59049 + 
  (243200*f[a[1]^2]*f[b[2]*c[1]]*f[b[2]*c[3]])/1594323 - 
  (1216000*f[a[1]^4]*f[b[2]*c[1]]*f[b[2]*c[3]])/14348907 + 
  (30400000*f[a[1]^6]*f[b[2]*c[1]]*f[b[2]*c[3]])/387420489 - 
  (1264640*f[a[2]^2]*f[b[2]*c[1]]*f[b[2]*c[3]])/14348907 + 
  (6323200*f[a[1]^2*a[2]^2]*f[b[2]*c[1]]*f[b[2]*c[3]])/387420489 - 
  (1556480*f[a[1]*a[3]]*f[b[2]*c[1]]*f[b[2]*c[3]])/14348907 + 
  (7782400*f[a[1]^3*a[3]]*f[b[2]*c[1]]*f[b[2]*c[3]])/129140163 + 
  (43435520*f[a[3]^2]*f[b[2]*c[1]]*f[b[2]*c[3]])/387420489 + 
  (99614720*f[a[2]*a[4]]*f[b[2]*c[1]]*f[b[2]*c[3]])/1162261467 + 
  (101171200*f[a[1]*a[5]]*f[b[2]*c[1]]*f[b[2]*c[3]])/1162261467 - 
  (3284480*f[b[1]*c[1]]*f[b[2]*c[1]]*f[b[2]*c[3]])/4782969 + 
  (16422400*f[a[1]^2*b[1]*c[1]]*f[b[2]*c[1]]*f[b[2]*c[3]])/129140163 - 
  (82112000*f[a[1]^4*b[1]*c[1]]*f[b[2]*c[1]]*f[b[2]*c[3]])/1162261467 - 
  (85396480*f[a[2]^2*b[1]*c[1]]*f[b[2]*c[1]]*f[b[2]*c[3]])/1162261467 - 
  (105103360*f[a[1]*a[3]*b[1]*c[1]]*f[b[2]*c[1]]*f[b[2]*c[3]])/
   1162261467 - (778240*f[a[1]]*f[a[1]*b[2]*c[1]]*f[b[2]*c[3]])/
   1594323 + (3891200*f[a[1]^3]*f[a[1]*b[2]*c[1]]*f[b[2]*c[3]])/
   14348907 - (97280000*f[a[1]^5]*f[a[1]*b[2]*c[1]]*f[b[2]*c[3]])/
   387420489 - (20234240*f[a[1]*a[2]^2]*f[a[1]*b[2]*c[1]]*
     f[b[2]*c[3]])/387420489 + 
  (778240*f[a[3]]*f[a[1]*b[2]*c[1]]*f[b[2]*c[3]])/14348907 - 
  (17899520*f[a[1]^2*a[3]]*f[a[1]*b[2]*c[1]]*f[b[2]*c[3]])/129140163 - 
  (50585600*f[a[5]]*f[a[1]*b[2]*c[1]]*f[b[2]*c[3]])/1162261467 - 
  (52551680*f[a[1]*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*f[b[2]*c[3]])/
   129140163 + (262758400*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*
     f[b[2]*c[3]])/1162261467 + 
  (52551680*f[a[3]*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*f[b[2]*c[3]])/
   1162261467 + (243200*f[1]*f[a[1]^2*b[2]*c[1]]*f[b[2]*c[3]])/
   1594323 - (8706560*f[a[1]^2]*f[a[1]^2*b[2]*c[1]]*f[b[2]*c[3]])/
   14348907 + (255116800*f[a[1]^4]*f[a[1]^2*b[2]*c[1]]*f[b[2]*c[3]])/
   387420489 - (9490880000*f[a[1]^6]*f[a[1]^2*b[2]*c[1]]*f[b[2]*c[3]])/
   10460353203 - (379489280*f[a[2]^2]*f[a[1]^2*b[2]*c[1]]*
     f[b[2]*c[3]])/1162261467 - 
  (45040640*f[a[1]^2*a[2]^2]*f[a[1]^2*b[2]*c[1]]*f[b[2]*c[3]])/
   31381059609 + (10895360*f[a[1]*a[3]]*f[a[1]^2*b[2]*c[1]]*
     f[b[2]*c[3]])/129140163 - 
  (960348160*f[a[1]^3*a[3]]*f[a[1]^2*b[2]*c[1]]*f[b[2]*c[3]])/
   3486784401 - (291888640*f[a[3]^2]*f[a[1]^2*b[2]*c[1]]*f[b[2]*c[3]])/
   10460353203 + (4283432960*f[a[2]*a[4]]*f[a[1]^2*b[2]*c[1]]*
     f[b[2]*c[3]])/31381059609 - 
  (708198400*f[a[1]*a[5]]*f[a[1]^2*b[2]*c[1]]*f[b[2]*c[3]])/
   10460353203 + (16422400*f[b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*
     f[b[2]*c[3]])/129140163 - 
  (587921920*f[a[1]^2*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*f[b[2]*c[3]])/
   1162261467 + (17227097600*f[a[1]^4*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*
     f[b[2]*c[3]])/31381059609 - 
  (25625512960*f[a[2]^2*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*f[b[2]*c[3]])/
   94143178827 + (735723520*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*
     f[b[2]*c[3]])/10460353203 + 
  (3891200*f[a[1]]*f[a[1]^3*b[2]*c[1]]*f[b[2]*c[3]])/14348907 - 
  (456826880*f[a[1]^3]*f[a[1]^3*b[2]*c[1]]*f[b[2]*c[3]])/387420489 + 
  (21382144000*f[a[1]^5]*f[a[1]^3*b[2]*c[1]]*f[b[2]*c[3]])/
   10460353203 - (6071828480*f[a[1]*a[2]^2]*f[a[1]^3*b[2]*c[1]]*
     f[b[2]*c[3]])/10460353203 - 
  (3891200*f[a[3]]*f[a[1]^3*b[2]*c[1]]*f[b[2]*c[3]])/129140163 + 
  (666951680*f[a[1]^2*a[3]]*f[a[1]^3*b[2]*c[1]]*f[b[2]*c[3]])/
   3486784401 + (252928000*f[a[5]]*f[a[1]^3*b[2]*c[1]]*f[b[2]*c[3]])/
   10460353203 + (262758400*f[a[1]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[b[2]*c[3]])/1162261467 - 
  (30847836160*f[a[1]^3*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*f[b[2]*c[3]])/
   31381059609 - (262758400*f[a[3]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[b[2]*c[3]])/10460353203 + 
  (12451840*f[a[2]]*f[a[2]*b[2]*c[1]]*f[b[2]*c[3]])/14348907 - 
  (62259200*f[a[1]^2*a[2]]*f[a[2]*b[2]*c[1]]*f[b[2]*c[3]])/387420489 + 
  (311296000*f[a[1]^4*a[2]]*f[a[2]*b[2]*c[1]]*f[b[2]*c[3]])/
   3486784401 + (323747840*f[a[2]^3]*f[a[2]*b[2]*c[1]]*f[b[2]*c[3]])/
   1162261467 + (398458880*f[a[1]*a[2]*a[3]]*f[a[2]*b[2]*c[1]]*
     f[b[2]*c[3]])/3486784401 - 
  (49807360*f[a[4]]*f[a[2]*b[2]*c[1]]*f[b[2]*c[3]])/1162261467 + 
  (249036800*f[a[1]^2*a[4]]*f[a[2]*b[2]*c[1]]*f[b[2]*c[3]])/
   31381059609 + (136970240*f[a[6]]*f[a[2]*b[2]*c[1]]*f[b[2]*c[3]])/
   3486784401 + (840826880*f[a[2]*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*
     f[b[2]*c[3]])/1162261467 - 
  (4204134400*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*f[b[2]*c[3]])/
   31381059609 - (3363307520*f[a[4]*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*
     f[b[2]*c[3]])/94143178827 + 
  (796917760*f[a[1]*a[2]]*f[a[1]*a[2]*b[2]*c[1]]*f[b[2]*c[3]])/
   1162261467 - (3984588800*f[a[1]^3*a[2]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[2]*c[3]])/10460353203 + 
  (796917760*f[a[2]*a[3]]*f[a[1]*a[2]*b[2]*c[1]]*f[b[2]*c[3]])/
   3486784401 - (3187671040*f[a[1]*a[4]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[2]*c[3]])/31381059609 + 
  (53812920320*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[2]*c[3]])/94143178827 + 
  (778240*f[a[1]]*f[a[3]*b[2]*c[1]]*f[b[2]*c[3]])/14348907 - 
  (3891200*f[a[1]^3]*f[a[3]*b[2]*c[1]]*f[b[2]*c[3]])/129140163 + 
  (97280000*f[a[1]^5]*f[a[3]*b[2]*c[1]]*f[b[2]*c[3]])/3486784401 + 
  (20234240*f[a[1]*a[2]^2]*f[a[3]*b[2]*c[1]]*f[b[2]*c[3]])/3486784401 - 
  (500408320*f[a[3]]*f[a[3]*b[2]*c[1]]*f[b[2]*c[3]])/387420489 + 
  (2651463680*f[a[1]^2*a[3]]*f[a[3]*b[2]*c[1]]*f[b[2]*c[3]])/
   10460353203 + (182886400*f[a[5]]*f[a[3]*b[2]*c[1]]*f[b[2]*c[3]])/
   3486784401 + (52551680*f[a[1]*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[b[2]*c[3]])/1162261467 - 
  (262758400*f[a[1]^3*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*f[b[2]*c[3]])/
   10460353203 - (33790730240*f[a[3]*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[b[2]*c[3]])/31381059609 - 
  (95027200*f[b[2]*c[1]]*f[b[3]*c[1]]*f[b[2]*c[3]])/129140163 + 
  (475136000*f[a[1]^2*b[2]*c[1]]*f[b[3]*c[1]]*f[b[2]*c[3]])/
   3486784401 - (90030080*f[a[2]]*f[a[1]*b[3]*c[1]]*f[b[2]*c[3]])/
   129140163 + (450150400*f[a[1]^2*a[2]]*f[a[1]*b[3]*c[1]]*
     f[b[2]*c[3]])/3486784401 - 
  (2250752000*f[a[1]^4*a[2]]*f[a[1]*b[3]*c[1]]*f[b[2]*c[3]])/
   31381059609 - (2340782080*f[a[2]^3]*f[a[1]*b[3]*c[1]]*f[b[2]*c[3]])/
   10460353203 - (2880962560*f[a[1]*a[2]*a[3]]*f[a[1]*b[3]*c[1]]*
     f[b[2]*c[3]])/31381059609 + 
  (360120320*f[a[4]]*f[a[1]*b[3]*c[1]]*f[b[2]*c[3]])/1162261467 - 
  (1800601600*f[a[1]^2*a[4]]*f[a[1]*b[3]*c[1]]*f[b[2]*c[3]])/
   31381059609 - (2250752000*f[a[6]]*f[a[1]*b[3]*c[1]]*f[b[2]*c[3]])/
   10460353203 - (1759723520*f[a[2]*b[1]*c[1]]*f[a[1]*b[3]*c[1]]*
     f[b[2]*c[3]])/3486784401 + 
  (8798617600*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[3]*c[1]]*f[b[2]*c[3]])/
   94143178827 + (7038894080*f[a[4]*b[1]*c[1]]*f[a[1]*b[3]*c[1]]*
     f[b[2]*c[3]])/31381059609 - 
  (1520435200*f[a[1]*b[2]*c[1]]*f[a[1]*b[3]*c[1]]*f[b[2]*c[3]])/
   3486784401 + (7602176000*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[3]*c[1]]*
     f[b[2]*c[3]])/31381059609 + 
  (1520435200*f[a[3]*b[2]*c[1]]*f[a[1]*b[3]*c[1]]*f[b[2]*c[3]])/
   31381059609 - (2880962560*f[a[1]*a[2]]*f[a[1]^2*b[3]*c[1]]*
     f[b[2]*c[3]])/3486784401 + 
  (14404812800*f[a[1]^3*a[2]]*f[a[1]^2*b[3]*c[1]]*f[b[2]*c[3]])/
   31381059609 + (2880962560*f[a[2]*a[3]]*f[a[1]^2*b[3]*c[1]]*
     f[b[2]*c[3]])/31381059609 + 
  (11523850240*f[a[1]*a[4]]*f[a[1]^2*b[3]*c[1]]*f[b[2]*c[3]])/
   31381059609 - (56311152640*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[1]^2*b[3]*c[1]]*f[b[2]*c[3]])/94143178827 + 
  (475136000*f[b[2]*c[1]]*f[a[1]^2*b[3]*c[1]]*f[b[2]*c[3]])/
   3486784401 - (17009868800*f[a[1]^2*b[2]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[b[2]*c[3]])/31381059609 + 
  (90030080*f[a[1]]*f[a[2]*b[3]*c[1]]*f[b[2]*c[3]])/129140163 - 
  (450150400*f[a[1]^3]*f[a[2]*b[3]*c[1]]*f[b[2]*c[3]])/1162261467 + 
  (11253760000*f[a[1]^5]*f[a[2]*b[3]*c[1]]*f[b[2]*c[3]])/31381059609 + 
  (2340782080*f[a[1]*a[2]^2]*f[a[2]*b[3]*c[1]]*f[b[2]*c[3]])/
   31381059609 + (450150400*f[a[3]]*f[a[2]*b[3]*c[1]]*f[b[2]*c[3]])/
   387420489 - (990330880*f[a[1]^2*a[3]]*f[a[2]*b[3]*c[1]]*
     f[b[2]*c[3]])/31381059609 - 
  (4951654400*f[a[5]]*f[a[2]*b[3]*c[1]]*f[b[2]*c[3]])/10460353203 + 
  (1759723520*f[a[1]*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*f[b[2]*c[3]])/
   3486784401 - (8798617600*f[a[1]^3*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[b[2]*c[3]])/31381059609 + 
  (8798617600*f[a[3]*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*f[b[2]*c[3]])/
   10460353203 + (24326963200*f[a[2]*b[2]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[b[2]*c[3]])/31381059609 - 
  (2124800*f[1]*f[b[4]*c[1]]*f[b[2]*c[3]])/1594323 + 
  (10624000*f[a[1]^2]*f[b[4]*c[1]]*f[b[2]*c[3]])/43046721 - 
  (53120000*f[a[1]^4]*f[b[4]*c[1]]*f[b[2]*c[3]])/387420489 + 
  (1328000000*f[a[1]^6]*f[b[4]*c[1]]*f[b[2]*c[3]])/10460353203 - 
  (55244800*f[a[2]^2]*f[b[4]*c[1]]*f[b[2]*c[3]])/387420489 + 
  (276224000*f[a[1]^2*a[2]^2]*f[b[4]*c[1]]*f[b[2]*c[3]])/10460353203 - 
  (67993600*f[a[1]*a[3]]*f[b[4]*c[1]]*f[b[2]*c[3]])/387420489 + 
  (339968000*f[a[1]^3*a[3]]*f[b[4]*c[1]]*f[b[2]*c[3]])/3486784401 + 
  (1897446400*f[a[3]^2]*f[b[4]*c[1]]*f[b[2]*c[3]])/10460353203 + 
  (4351590400*f[a[2]*a[4]]*f[b[4]*c[1]]*f[b[2]*c[3]])/31381059609 + 
  (4419584000*f[a[1]*a[5]]*f[b[4]*c[1]]*f[b[2]*c[3]])/31381059609 - 
  (12569600*f[b[1]*c[1]]*f[b[4]*c[1]]*f[b[2]*c[3]])/14348907 + 
  (62848000*f[a[1]^2*b[1]*c[1]]*f[b[4]*c[1]]*f[b[2]*c[3]])/387420489 - 
  (314240000*f[a[1]^4*b[1]*c[1]]*f[b[4]*c[1]]*f[b[2]*c[3]])/
   3486784401 - (326809600*f[a[2]^2*b[1]*c[1]]*f[b[4]*c[1]]*
     f[b[2]*c[3]])/3486784401 - 
  (402227200*f[a[1]*a[3]*b[1]*c[1]]*f[b[4]*c[1]]*f[b[2]*c[3]])/
   3486784401 + (840171520*f[b[3]*c[1]]*f[b[4]*c[1]]*f[b[2]*c[3]])/
   1162261467 - (4200857600*f[a[1]^2*b[3]*c[1]]*f[b[4]*c[1]]*
     f[b[2]*c[3]])/31381059609 - 
  (33996800*f[a[1]]*f[a[1]*b[4]*c[1]]*f[b[2]*c[3]])/43046721 + 
  (169984000*f[a[1]^3]*f[a[1]*b[4]*c[1]]*f[b[2]*c[3]])/387420489 - 
  (4249600000*f[a[1]^5]*f[a[1]*b[4]*c[1]]*f[b[2]*c[3]])/10460353203 - 
  (883916800*f[a[1]*a[2]^2]*f[a[1]*b[4]*c[1]]*f[b[2]*c[3]])/
   10460353203 + (33996800*f[a[3]]*f[a[1]*b[4]*c[1]]*f[b[2]*c[3]])/
   387420489 - (781926400*f[a[1]^2*a[3]]*f[a[1]*b[4]*c[1]]*
     f[b[2]*c[3]])/3486784401 - 
  (2209792000*f[a[5]]*f[a[1]*b[4]*c[1]]*f[b[2]*c[3]])/31381059609 - 
  (201113600*f[a[1]*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*f[b[2]*c[3]])/
   387420489 + (1005568000*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[b[2]*c[3]])/3486784401 + 
  (201113600*f[a[3]*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*f[b[2]*c[3]])/
   3486784401 - (14763950080*f[a[2]*b[2]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[b[2]*c[3]])/31381059609 + 
  (13442744320*f[a[1]*b[3]*c[1]]*f[a[1]*b[4]*c[1]]*f[b[2]*c[3]])/
   31381059609 - (252313600*f[b[2]*c[1]]*f[b[5]*c[1]]*f[b[2]*c[3]])/
   1162261467 + (1261568000*f[a[1]^2*b[2]*c[1]]*f[b[5]*c[1]]*
     f[b[2]*c[3]])/31381059609 - 
  (4253286400*f[b[4]*c[1]]*f[b[5]*c[1]]*f[b[2]*c[3]])/31381059609 + 
  (8960*f[1]*f[b[1]*c[2]]*f[b[2]*c[3]])/59049 - 
  (44800*f[a[1]^2]*f[b[1]*c[2]]*f[b[2]*c[3]])/1594323 + 
  (224000*f[a[1]^4]*f[b[1]*c[2]]*f[b[2]*c[3]])/14348907 - 
  (5600000*f[a[1]^6]*f[b[1]*c[2]]*f[b[2]*c[3]])/387420489 + 
  (232960*f[a[2]^2]*f[b[1]*c[2]]*f[b[2]*c[3]])/14348907 - 
  (1164800*f[a[1]^2*a[2]^2]*f[b[1]*c[2]]*f[b[2]*c[3]])/387420489 + 
  (286720*f[a[1]*a[3]]*f[b[1]*c[2]]*f[b[2]*c[3]])/14348907 - 
  (1433600*f[a[1]^3*a[3]]*f[b[1]*c[2]]*f[b[2]*c[3]])/129140163 - 
  (8001280*f[a[3]^2]*f[b[1]*c[2]]*f[b[2]*c[3]])/387420489 - 
  (18350080*f[a[2]*a[4]]*f[b[1]*c[2]]*f[b[2]*c[3]])/1162261467 - 
  (18636800*f[a[1]*a[5]]*f[b[1]*c[2]]*f[b[2]*c[3]])/1162261467 - 
  (175360*f[b[1]*c[1]]*f[b[1]*c[2]]*f[b[2]*c[3]])/4782969 + 
  (876800*f[a[1]^2*b[1]*c[1]]*f[b[1]*c[2]]*f[b[2]*c[3]])/129140163 - 
  (4384000*f[a[1]^4*b[1]*c[1]]*f[b[1]*c[2]]*f[b[2]*c[3]])/1162261467 - 
  (4559360*f[a[2]^2*b[1]*c[1]]*f[b[1]*c[2]]*f[b[2]*c[3]])/1162261467 - 
  (5611520*f[a[1]*a[3]*b[1]*c[1]]*f[b[1]*c[2]]*f[b[2]*c[3]])/
   1162261467 - (20824064*f[b[3]*c[1]]*f[b[1]*c[2]]*f[b[2]*c[3]])/
   43046721 + (104120320*f[a[1]^2*b[3]*c[1]]*f[b[1]*c[2]]*
     f[b[2]*c[3]])/1162261467 + 
  (35962880*f[b[5]*c[1]]*f[b[1]*c[2]]*f[b[2]*c[3]])/1162261467 + 
  (143360*f[a[1]]*f[a[1]*b[1]*c[2]]*f[b[2]*c[3]])/1594323 - 
  (716800*f[a[1]^3]*f[a[1]*b[1]*c[2]]*f[b[2]*c[3]])/14348907 + 
  (17920000*f[a[1]^5]*f[a[1]*b[1]*c[2]]*f[b[2]*c[3]])/387420489 + 
  (3727360*f[a[1]*a[2]^2]*f[a[1]*b[1]*c[2]]*f[b[2]*c[3]])/387420489 - 
  (143360*f[a[3]]*f[a[1]*b[1]*c[2]]*f[b[2]*c[3]])/14348907 + 
  (3297280*f[a[1]^2*a[3]]*f[a[1]*b[1]*c[2]]*f[b[2]*c[3]])/129140163 + 
  (9318400*f[a[5]]*f[a[1]*b[1]*c[2]]*f[b[2]*c[3]])/1162261467 - 
  (2805760*f[a[1]*b[1]*c[1]]*f[a[1]*b[1]*c[2]]*f[b[2]*c[3]])/
   129140163 + (14028800*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[b[2]*c[3]])/1162261467 + 
  (2805760*f[a[3]*b[1]*c[1]]*f[a[1]*b[1]*c[2]]*f[b[2]*c[3]])/
   1162261467 + (58720256*f[a[2]*b[2]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[b[2]*c[3]])/1162261467 - 
  (333185024*f[a[1]*b[3]*c[1]]*f[a[1]*b[1]*c[2]]*f[b[2]*c[3]])/
   1162261467 - (44800*f[1]*f[a[1]^2*b[1]*c[2]]*f[b[2]*c[3]])/1594323 + 
  (1603840*f[a[1]^2]*f[a[1]^2*b[1]*c[2]]*f[b[2]*c[3]])/14348907 - 
  (46995200*f[a[1]^4]*f[a[1]^2*b[1]*c[2]]*f[b[2]*c[3]])/387420489 + 
  (1748320000*f[a[1]^6]*f[a[1]^2*b[1]*c[2]]*f[b[2]*c[3]])/10460353203 + 
  (69905920*f[a[2]^2]*f[a[1]^2*b[1]*c[2]]*f[b[2]*c[3]])/1162261467 + 
  (8296960*f[a[1]^2*a[2]^2]*f[a[1]^2*b[1]*c[2]]*f[b[2]*c[3]])/
   31381059609 - (2007040*f[a[1]*a[3]]*f[a[1]^2*b[1]*c[2]]*
     f[b[2]*c[3]])/129140163 + 
  (176906240*f[a[1]^3*a[3]]*f[a[1]^2*b[1]*c[2]]*f[b[2]*c[3]])/
   3486784401 + (53768960*f[a[3]^2]*f[a[1]^2*b[1]*c[2]]*f[b[2]*c[3]])/
   10460353203 - (789053440*f[a[2]*a[4]]*f[a[1]^2*b[1]*c[2]]*
     f[b[2]*c[3]])/31381059609 + 
  (130457600*f[a[1]*a[5]]*f[a[1]^2*b[1]*c[2]]*f[b[2]*c[3]])/
   10460353203 + (876800*f[b[1]*c[1]]*f[a[1]^2*b[1]*c[2]]*
     f[b[2]*c[3]])/129140163 - 
  (31389440*f[a[1]^2*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]]*f[b[2]*c[3]])/
   1162261467 + (919763200*f[a[1]^4*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]]*
     f[b[2]*c[3]])/31381059609 - 
  (1368158720*f[a[2]^2*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]]*f[b[2]*c[3]])/
   94143178827 + (39280640*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]]*
     f[b[2]*c[3]])/10460353203 + 
  (1879048192*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]^2*b[1]*c[2]]*f[b[2]*c[3]])/
   31381059609 + (104120320*f[b[3]*c[1]]*f[a[1]^2*b[1]*c[2]]*
     f[b[2]*c[3]])/1162261467 - 
  (3727507456*f[a[1]^2*b[3]*c[1]]*f[a[1]^2*b[1]*c[2]]*f[b[2]*c[3]])/
   10460353203 - (179814400*f[b[5]*c[1]]*f[a[1]^2*b[1]*c[2]]*
     f[b[2]*c[3]])/31381059609 - 
  (716800*f[a[1]]*f[a[1]^3*b[1]*c[2]]*f[b[2]*c[3]])/14348907 + 
  (84152320*f[a[1]^3]*f[a[1]^3*b[1]*c[2]]*f[b[2]*c[3]])/387420489 - 
  (3938816000*f[a[1]^5]*f[a[1]^3*b[1]*c[2]]*f[b[2]*c[3]])/10460353203 + 
  (1118494720*f[a[1]*a[2]^2]*f[a[1]^3*b[1]*c[2]]*f[b[2]*c[3]])/
   10460353203 + (716800*f[a[3]]*f[a[1]^3*b[1]*c[2]]*f[b[2]*c[3]])/
   129140163 - (122859520*f[a[1]^2*a[3]]*f[a[1]^3*b[1]*c[2]]*
     f[b[2]*c[3]])/3486784401 - 
  (46592000*f[a[5]]*f[a[1]^3*b[1]*c[2]]*f[b[2]*c[3]])/10460353203 + 
  (14028800*f[a[1]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*f[b[2]*c[3]])/
   1162261467 - (1646981120*f[a[1]^3*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[b[2]*c[3]])/31381059609 - 
  (14028800*f[a[3]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*f[b[2]*c[3]])/
   10460353203 - (293601280*f[a[2]*b[2]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[b[2]*c[3]])/10460353203 + 
  (1665925120*f[a[1]*b[3]*c[1]]*f[a[1]^3*b[1]*c[2]]*f[b[2]*c[3]])/
   10460353203 - (2293760*f[a[2]]*f[a[2]*b[1]*c[2]]*f[b[2]*c[3]])/
   14348907 + (11468800*f[a[1]^2*a[2]]*f[a[2]*b[1]*c[2]]*f[b[2]*c[3]])/
   387420489 - (57344000*f[a[1]^4*a[2]]*f[a[2]*b[1]*c[2]]*
     f[b[2]*c[3]])/3486784401 - 
  (59637760*f[a[2]^3]*f[a[2]*b[1]*c[2]]*f[b[2]*c[3]])/1162261467 - 
  (73400320*f[a[1]*a[2]*a[3]]*f[a[2]*b[1]*c[2]]*f[b[2]*c[3]])/
   3486784401 + (9175040*f[a[4]]*f[a[2]*b[1]*c[2]]*f[b[2]*c[3]])/
   1162261467 - (45875200*f[a[1]^2*a[4]]*f[a[2]*b[1]*c[2]]*
     f[b[2]*c[3]])/31381059609 - 
  (25231360*f[a[6]]*f[a[2]*b[1]*c[2]]*f[b[2]*c[3]])/3486784401 + 
  (44892160*f[a[2]*b[1]*c[1]]*f[a[2]*b[1]*c[2]]*f[b[2]*c[3]])/
   1162261467 - (224460800*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[2]*b[1]*c[2]]*
     f[b[2]*c[3]])/31381059609 - 
  (179568640*f[a[4]*b[1]*c[1]]*f[a[2]*b[1]*c[2]]*f[b[2]*c[3]])/
   94143178827 - (58720256*f[a[1]*b[2]*c[1]]*f[a[2]*b[1]*c[2]]*
     f[b[2]*c[3]])/1162261467 + 
  (293601280*f[a[1]^3*b[2]*c[1]]*f[a[2]*b[1]*c[2]]*f[b[2]*c[3]])/
   10460353203 - (293601280*f[a[3]*b[2]*c[1]]*f[a[2]*b[1]*c[2]]*
     f[b[2]*c[3]])/3486784401 + 
  (5330960384*f[a[2]*b[3]*c[1]]*f[a[2]*b[1]*c[2]]*f[b[2]*c[3]])/
   10460353203 - (13379829760*f[a[1]*b[4]*c[1]]*f[a[2]*b[1]*c[2]]*
     f[b[2]*c[3]])/94143178827 - 
  (146800640*f[a[1]*a[2]]*f[a[1]*a[2]*b[1]*c[2]]*f[b[2]*c[3]])/
   1162261467 + (734003200*f[a[1]^3*a[2]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[2]*c[3]])/10460353203 - 
  (146800640*f[a[2]*a[3]]*f[a[1]*a[2]*b[1]*c[2]]*f[b[2]*c[3]])/
   3486784401 + (587202560*f[a[1]*a[4]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[2]*c[3]])/31381059609 + 
  (2873098240*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[2]*c[3]])/94143178827 - 
  (1879048192*f[a[1]^2*b[2]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*f[b[2]*c[3]])/
   31381059609 - (143360*f[a[1]]*f[a[3]*b[1]*c[2]]*f[b[2]*c[3]])/
   14348907 + (716800*f[a[1]^3]*f[a[3]*b[1]*c[2]]*f[b[2]*c[3]])/
   129140163 - (17920000*f[a[1]^5]*f[a[3]*b[1]*c[2]]*f[b[2]*c[3]])/
   3486784401 - (3727360*f[a[1]*a[2]^2]*f[a[3]*b[1]*c[2]]*
     f[b[2]*c[3]])/3486784401 + 
  (92180480*f[a[3]]*f[a[3]*b[1]*c[2]]*f[b[2]*c[3]])/387420489 - 
  (488427520*f[a[1]^2*a[3]]*f[a[3]*b[1]*c[2]]*f[b[2]*c[3]])/
   10460353203 - (33689600*f[a[5]]*f[a[3]*b[1]*c[2]]*f[b[2]*c[3]])/
   3486784401 + (2805760*f[a[1]*b[1]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[b[2]*c[3]])/1162261467 - 
  (14028800*f[a[1]^3*b[1]*c[1]]*f[a[3]*b[1]*c[2]]*f[b[2]*c[3]])/
   10460353203 - (1804103680*f[a[3]*b[1]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[b[2]*c[3]])/31381059609 + 
  (293601280*f[a[2]*b[2]*c[1]]*f[a[3]*b[1]*c[2]]*f[b[2]*c[3]])/
   3486784401 + (333185024*f[a[1]*b[3]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[b[2]*c[3]])/10460353203 + 
  (48640*f[b[2]*c[1]]*f[b[2]*c[2]]*f[b[2]*c[3]])/59049 - 
  (243200*f[a[1]^2*b[2]*c[1]]*f[b[2]*c[2]]*f[b[2]*c[3]])/1594323 + 
  (873958400*f[b[4]*c[1]]*f[b[2]*c[2]]*f[b[2]*c[3]])/1162261467 + 
  (3557120*f[b[1]*c[2]]*f[b[2]*c[2]]*f[b[2]*c[3]])/14348907 - 
  (17785600*f[a[1]^2*b[1]*c[2]]*f[b[2]*c[2]]*f[b[2]*c[3]])/387420489 - 
  (4358144*f[a[2]]*f[a[1]*b[2]*c[2]]*f[b[2]*c[3]])/14348907 + 
  (21790720*f[a[1]^2*a[2]]*f[a[1]*b[2]*c[2]]*f[b[2]*c[3]])/387420489 - 
  (108953600*f[a[1]^4*a[2]]*f[a[1]*b[2]*c[2]]*f[b[2]*c[3]])/
   3486784401 - (113311744*f[a[2]^3]*f[a[1]*b[2]*c[2]]*f[b[2]*c[3]])/
   1162261467 - (139460608*f[a[1]*a[2]*a[3]]*f[a[1]*b[2]*c[2]]*
     f[b[2]*c[3]])/3486784401 + 
  (17432576*f[a[4]]*f[a[1]*b[2]*c[2]]*f[b[2]*c[3]])/129140163 - 
  (87162880*f[a[1]^2*a[4]]*f[a[1]*b[2]*c[2]]*f[b[2]*c[3]])/3486784401 - 
  (108953600*f[a[6]]*f[a[1]*b[2]*c[2]]*f[b[2]*c[3]])/1162261467 - 
  (72957952*f[a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[2]]*f[b[2]*c[3]])/
   1162261467 + (364789760*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[2]]*
     f[b[2]*c[3]])/31381059609 + 
  (291831808*f[a[4]*b[1]*c[1]]*f[a[1]*b[2]*c[2]]*f[b[2]*c[3]])/
   10460353203 + (778240*f[a[1]*b[2]*c[1]]*f[a[1]*b[2]*c[2]]*
     f[b[2]*c[3]])/1594323 - (3891200*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*b[2]*c[2]]*f[b[2]*c[3]])/14348907 - 
  (778240*f[a[3]*b[2]*c[1]]*f[a[1]*b[2]*c[2]]*f[b[2]*c[3]])/14348907 - 
  (4397547520*f[a[2]*b[3]*c[1]]*f[a[1]*b[2]*c[2]]*f[b[2]*c[3]])/
   31381059609 + (13983334400*f[a[1]*b[4]*c[1]]*f[a[1]*b[2]*c[2]]*
     f[b[2]*c[3]])/31381059609 + 
  (56913920*f[a[1]*b[1]*c[2]]*f[a[1]*b[2]*c[2]]*f[b[2]*c[3]])/
   387420489 - (284569600*f[a[1]^3*b[1]*c[2]]*f[a[1]*b[2]*c[2]]*
     f[b[2]*c[3]])/3486784401 - 
  (56913920*f[a[3]*b[1]*c[2]]*f[a[1]*b[2]*c[2]]*f[b[2]*c[3]])/
   3486784401 - (139460608*f[a[1]*a[2]]*f[a[1]^2*b[2]*c[2]]*
     f[b[2]*c[3]])/387420489 + 
  (697303040*f[a[1]^3*a[2]]*f[a[1]^2*b[2]*c[2]]*f[b[2]*c[3]])/
   3486784401 + (139460608*f[a[2]*a[3]]*f[a[1]^2*b[2]*c[2]]*
     f[b[2]*c[3]])/3486784401 + 
  (557842432*f[a[1]*a[4]]*f[a[1]^2*b[2]*c[2]]*f[b[2]*c[3]])/
   3486784401 - (2334654464*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]]*
     f[b[2]*c[3]])/31381059609 - 
  (243200*f[b[2]*c[1]]*f[a[1]^2*b[2]*c[2]]*f[b[2]*c[3]])/1594323 + 
  (8706560*f[a[1]^2*b[2]*c[1]]*f[a[1]^2*b[2]*c[2]]*f[b[2]*c[3]])/
   14348907 - (4369792000*f[b[4]*c[1]]*f[a[1]^2*b[2]*c[2]]*
     f[b[2]*c[3]])/31381059609 - 
  (17785600*f[b[1]*c[2]]*f[a[1]^2*b[2]*c[2]]*f[b[2]*c[3]])/387420489 + 
  (636724480*f[a[1]^2*b[1]*c[2]]*f[a[1]^2*b[2]*c[2]]*f[b[2]*c[3]])/
   3486784401 + (4358144*f[a[1]]*f[a[2]*b[2]*c[2]]*f[b[2]*c[3]])/
   14348907 - (21790720*f[a[1]^3]*f[a[2]*b[2]*c[2]]*f[b[2]*c[3]])/
   129140163 + (544768000*f[a[1]^5]*f[a[2]*b[2]*c[2]]*f[b[2]*c[3]])/
   3486784401 + (113311744*f[a[1]*a[2]^2]*f[a[2]*b[2]*c[2]]*
     f[b[2]*c[3]])/3486784401 + 
  (21790720*f[a[3]]*f[a[2]*b[2]*c[2]]*f[b[2]*c[3]])/43046721 - 
  (47939584*f[a[1]^2*a[3]]*f[a[2]*b[2]*c[2]]*f[b[2]*c[3]])/3486784401 - 
  (239697920*f[a[5]]*f[a[2]*b[2]*c[2]]*f[b[2]*c[3]])/1162261467 + 
  (72957952*f[a[1]*b[1]*c[1]]*f[a[2]*b[2]*c[2]]*f[b[2]*c[3]])/
   1162261467 - (364789760*f[a[1]^3*b[1]*c[1]]*f[a[2]*b[2]*c[2]]*
     f[b[2]*c[3]])/10460353203 + 
  (364789760*f[a[3]*b[1]*c[1]]*f[a[2]*b[2]*c[2]]*f[b[2]*c[3]])/
   3486784401 - (12451840*f[a[2]*b[2]*c[1]]*f[a[2]*b[2]*c[2]]*
     f[b[2]*c[3]])/14348907 + 
  (4397547520*f[a[1]*b[3]*c[1]]*f[a[2]*b[2]*c[2]]*f[b[2]*c[3]])/
   31381059609 - (910622720*f[a[2]*b[1]*c[2]]*f[a[2]*b[2]*c[2]]*
     f[b[2]*c[3]])/3486784401 - 
  (1969408*f[1]*f[b[3]*c[2]]*f[b[2]*c[3]])/1594323 + 
  (9847040*f[a[1]^2]*f[b[3]*c[2]]*f[b[2]*c[3]])/43046721 - 
  (49235200*f[a[1]^4]*f[b[3]*c[2]]*f[b[2]*c[3]])/387420489 + 
  (1230880000*f[a[1]^6]*f[b[3]*c[2]]*f[b[2]*c[3]])/10460353203 - 
  (51204608*f[a[2]^2]*f[b[3]*c[2]]*f[b[2]*c[3]])/387420489 + 
  (256023040*f[a[1]^2*a[2]^2]*f[b[3]*c[2]]*f[b[2]*c[3]])/10460353203 - 
  (63021056*f[a[1]*a[3]]*f[b[3]*c[2]]*f[b[2]*c[3]])/387420489 + 
  (315105280*f[a[1]^3*a[3]]*f[b[3]*c[2]]*f[b[2]*c[3]])/3486784401 + 
  (1758681344*f[a[3]^2]*f[b[3]*c[2]]*f[b[2]*c[3]])/10460353203 + 
  (4033347584*f[a[2]*a[4]]*f[b[3]*c[2]]*f[b[2]*c[3]])/31381059609 + 
  (4096368640*f[a[1]*a[5]]*f[b[3]*c[2]]*f[b[2]*c[3]])/31381059609 - 
  (5496064*f[b[1]*c[1]]*f[b[3]*c[2]]*f[b[2]*c[3]])/129140163 + 
  (27480320*f[a[1]^2*b[1]*c[1]]*f[b[3]*c[2]]*f[b[2]*c[3]])/3486784401 - 
  (137401600*f[a[1]^4*b[1]*c[1]]*f[b[3]*c[2]]*f[b[2]*c[3]])/
   31381059609 - (142897664*f[a[2]^2*b[1]*c[1]]*f[b[3]*c[2]]*
     f[b[2]*c[3]])/31381059609 - 
  (175874048*f[a[1]*a[3]*b[1]*c[1]]*f[b[3]*c[2]]*f[b[2]*c[3]])/
   31381059609 + (450150400*f[b[3]*c[1]]*f[b[3]*c[2]]*f[b[2]*c[3]])/
   387420489 - (2250752000*f[a[1]^2*b[3]*c[1]]*f[b[3]*c[2]]*
     f[b[2]*c[3]])/10460353203 - 
  (17725603840*f[b[5]*c[1]]*f[b[3]*c[2]]*f[b[2]*c[3]])/31381059609 - 
  (92103424*f[b[2]*c[2]]*f[b[3]*c[2]]*f[b[2]*c[3]])/129140163 + 
  (460517120*f[a[1]^2*b[2]*c[2]]*f[b[3]*c[2]]*f[b[2]*c[3]])/
   3486784401 - (31510528*f[a[1]]*f[a[1]*b[3]*c[2]]*f[b[2]*c[3]])/
   43046721 + (157552640*f[a[1]^3]*f[a[1]*b[3]*c[2]]*f[b[2]*c[3]])/
   387420489 - (3938816000*f[a[1]^5]*f[a[1]*b[3]*c[2]]*f[b[2]*c[3]])/
   10460353203 - (819273728*f[a[1]*a[2]^2]*f[a[1]*b[3]*c[2]]*
     f[b[2]*c[3]])/10460353203 + 
  (31510528*f[a[3]]*f[a[1]*b[3]*c[2]]*f[b[2]*c[3]])/387420489 - 
  (724742144*f[a[1]^2*a[3]]*f[a[1]*b[3]*c[2]]*f[b[2]*c[3]])/
   3486784401 - (2048184320*f[a[5]]*f[a[1]*b[3]*c[2]]*f[b[2]*c[3]])/
   31381059609 - (87937024*f[a[1]*b[1]*c[1]]*f[a[1]*b[3]*c[2]]*
     f[b[2]*c[3]])/3486784401 + 
  (439685120*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[3]*c[2]]*f[b[2]*c[3]])/
   31381059609 + (87937024*f[a[3]*b[1]*c[1]]*f[a[1]*b[3]*c[2]]*
     f[b[2]*c[3]])/31381059609 + 
  (8514437120*f[a[2]*b[2]*c[1]]*f[a[1]*b[3]*c[2]]*f[b[2]*c[3]])/
   31381059609 + (7202406400*f[a[1]*b[3]*c[1]]*f[a[1]*b[3]*c[2]]*
     f[b[2]*c[3]])/10460353203 + 
  (4257218560*f[a[2]*b[1]*c[2]]*f[a[1]*b[3]*c[2]]*f[b[2]*c[3]])/
   31381059609 - (1473654784*f[a[1]*b[2]*c[2]]*f[a[1]*b[3]*c[2]]*
     f[b[2]*c[3]])/3486784401 + 
  (381157376*f[b[2]*c[1]]*f[b[4]*c[2]]*f[b[2]*c[3]])/1162261467 - 
  (1905786880*f[a[1]^2*b[2]*c[1]]*f[b[4]*c[2]]*f[b[2]*c[3]])/
   31381059609 - (12837191680*f[b[4]*c[1]]*f[b[4]*c[2]]*f[b[2]*c[3]])/
   31381059609 + (126156800*f[b[1]*c[2]]*f[b[4]*c[2]]*f[b[2]*c[3]])/
   387420489 - (630784000*f[a[1]^2*b[1]*c[2]]*f[b[4]*c[2]]*
     f[b[2]*c[3]])/10460353203 - 
  (5644943360*f[b[3]*c[2]]*f[b[4]*c[2]]*f[b[2]*c[3]])/10460353203 + 
  (3284480*f[b[2]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*f[b[2]*c[3]])/4782969 - 
  (16422400*f[a[1]^2*b[2]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*f[b[2]*c[3]])/
   129140163 + (23833037824*f[b[4]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[b[2]*c[3]])/94143178827 - 
  (69617920*f[b[1]*c[2]]*f[b[1]*b[2]*c[1]*c[2]]*f[b[2]*c[3]])/
   1162261467 + (348089600*f[a[1]^2*b[1]*c[2]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[b[2]*c[3]])/31381059609 - 
  (5264619776*f[b[3]*c[2]]*f[b[1]*b[2]*c[1]*c[2]]*f[b[2]*c[3]])/
   31381059609 + (2490368*f[b[2]*c[1]]*f[b[1]*c[3]]*f[b[2]*c[3]])/
   43046721 - (12451840*f[a[1]^2*b[2]*c[1]]*f[b[1]*c[3]]*f[b[2]*c[3]])/
   1162261467 + (108789760*f[b[4]*c[1]]*f[b[1]*c[3]]*f[b[2]*c[3]])/
   1162261467 + (2048000*f[b[1]*c[2]]*f[b[1]*c[3]]*f[b[2]*c[3]])/
   43046721 - (10240000*f[a[1]^2*b[1]*c[2]]*f[b[1]*c[3]]*f[b[2]*c[3]])/
   1162261467 - (450150400*f[b[3]*c[2]]*f[b[1]*c[3]]*f[b[2]*c[3]])/
   1162261467 + (1556480*f[a[2]]*f[a[1]*b[1]*c[3]]*f[b[2]*c[3]])/
   43046721 - (7782400*f[a[1]^2*a[2]]*f[a[1]*b[1]*c[3]]*f[b[2]*c[3]])/
   1162261467 + (38912000*f[a[1]^4*a[2]]*f[a[1]*b[1]*c[3]]*
     f[b[2]*c[3]])/10460353203 + 
  (40468480*f[a[2]^3]*f[a[1]*b[1]*c[3]]*f[b[2]*c[3]])/3486784401 + 
  (49807360*f[a[1]*a[2]*a[3]]*f[a[1]*b[1]*c[3]]*f[b[2]*c[3]])/
   10460353203 - (6225920*f[a[4]]*f[a[1]*b[1]*c[3]]*f[b[2]*c[3]])/
   387420489 + (31129600*f[a[1]^2*a[4]]*f[a[1]*b[1]*c[3]]*
     f[b[2]*c[3]])/10460353203 + 
  (38912000*f[a[6]]*f[a[1]*b[1]*c[3]]*f[b[2]*c[3]])/3486784401 + 
  (21053440*f[a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[3]]*f[b[2]*c[3]])/
   1162261467 - (105267200*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[3]]*
     f[b[2]*c[3]])/31381059609 - 
  (84213760*f[a[4]*b[1]*c[1]]*f[a[1]*b[1]*c[3]]*f[b[2]*c[3]])/
   10460353203 + (39845888*f[a[1]*b[2]*c[1]]*f[a[1]*b[1]*c[3]]*
     f[b[2]*c[3]])/1162261467 - 
  (199229440*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[1]*c[3]]*f[b[2]*c[3]])/
   10460353203 - (39845888*f[a[3]*b[2]*c[1]]*f[a[1]*b[1]*c[3]]*
     f[b[2]*c[3]])/10460353203 + 
  (54525952*f[a[2]*b[3]*c[1]]*f[a[1]*b[1]*c[3]]*f[b[2]*c[3]])/
   3486784401 + (1740636160*f[a[1]*b[4]*c[1]]*f[a[1]*b[1]*c[3]]*
     f[b[2]*c[3]])/31381059609 + 
  (32768000*f[a[1]*b[1]*c[2]]*f[a[1]*b[1]*c[3]]*f[b[2]*c[3]])/
   1162261467 - (163840000*f[a[1]^3*b[1]*c[2]]*f[a[1]*b[1]*c[3]]*
     f[b[2]*c[3]])/10460353203 - 
  (32768000*f[a[3]*b[1]*c[2]]*f[a[1]*b[1]*c[3]]*f[b[2]*c[3]])/
   10460353203 + (617922560*f[a[2]*b[2]*c[2]]*f[a[1]*b[1]*c[3]]*
     f[b[2]*c[3]])/10460353203 - 
  (7202406400*f[a[1]*b[3]*c[2]]*f[a[1]*b[1]*c[3]]*f[b[2]*c[3]])/
   31381059609 + (49807360*f[a[1]*a[2]]*f[a[1]^2*b[1]*c[3]]*
     f[b[2]*c[3]])/1162261467 - 
  (249036800*f[a[1]^3*a[2]]*f[a[1]^2*b[1]*c[3]]*f[b[2]*c[3]])/
   10460353203 - (49807360*f[a[2]*a[3]]*f[a[1]^2*b[1]*c[3]]*
     f[b[2]*c[3]])/10460353203 - 
  (199229440*f[a[1]*a[4]]*f[a[1]^2*b[1]*c[3]]*f[b[2]*c[3]])/
   10460353203 + (673710080*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]]*
     f[b[2]*c[3]])/31381059609 - 
  (12451840*f[b[2]*c[1]]*f[a[1]^2*b[1]*c[3]]*f[b[2]*c[3]])/1162261467 + 
  (445775872*f[a[1]^2*b[2]*c[1]]*f[a[1]^2*b[1]*c[3]]*f[b[2]*c[3]])/
   10460353203 - (543948800*f[b[4]*c[1]]*f[a[1]^2*b[1]*c[3]]*
     f[b[2]*c[3]])/31381059609 - 
  (10240000*f[b[1]*c[2]]*f[a[1]^2*b[1]*c[3]]*f[b[2]*c[3]])/1162261467 + 
  (366592000*f[a[1]^2*b[1]*c[2]]*f[a[1]^2*b[1]*c[3]]*f[b[2]*c[3]])/
   10460353203 + (2250752000*f[b[3]*c[2]]*f[a[1]^2*b[1]*c[3]]*
     f[b[2]*c[3]])/31381059609 - 
  (1556480*f[a[1]]*f[a[2]*b[1]*c[3]]*f[b[2]*c[3]])/43046721 + 
  (7782400*f[a[1]^3]*f[a[2]*b[1]*c[3]]*f[b[2]*c[3]])/387420489 - 
  (194560000*f[a[1]^5]*f[a[2]*b[1]*c[3]]*f[b[2]*c[3]])/10460353203 - 
  (40468480*f[a[1]*a[2]^2]*f[a[2]*b[1]*c[3]]*f[b[2]*c[3]])/
   10460353203 - (7782400*f[a[3]]*f[a[2]*b[1]*c[3]]*f[b[2]*c[3]])/
   129140163 + (17121280*f[a[1]^2*a[3]]*f[a[2]*b[1]*c[3]]*
     f[b[2]*c[3]])/10460353203 + 
  (85606400*f[a[5]]*f[a[2]*b[1]*c[3]]*f[b[2]*c[3]])/3486784401 - 
  (21053440*f[a[1]*b[1]*c[1]]*f[a[2]*b[1]*c[3]]*f[b[2]*c[3]])/
   1162261467 + (105267200*f[a[1]^3*b[1]*c[1]]*f[a[2]*b[1]*c[3]]*
     f[b[2]*c[3]])/10460353203 - 
  (105267200*f[a[3]*b[1]*c[1]]*f[a[2]*b[1]*c[3]]*f[b[2]*c[3]])/
   3486784401 - (637534208*f[a[2]*b[2]*c[1]]*f[a[2]*b[1]*c[3]]*
     f[b[2]*c[3]])/10460353203 - 
  (54525952*f[a[1]*b[3]*c[1]]*f[a[2]*b[1]*c[3]]*f[b[2]*c[3]])/
   3486784401 - (524288000*f[a[2]*b[1]*c[2]]*f[a[2]*b[1]*c[3]]*
     f[b[2]*c[3]])/10460353203 - 
  (617922560*f[a[1]*b[2]*c[2]]*f[a[2]*b[1]*c[3]]*f[b[2]*c[3]])/
   10460353203 + (92416*f[1]*f[b[2]*c[3]]^2)/531441 - 
  (462080*f[a[1]^2]*f[b[2]*c[3]]^2)/14348907 + 
  (2310400*f[a[1]^4]*f[b[2]*c[3]]^2)/129140163 - 
  (57760000*f[a[1]^6]*f[b[2]*c[3]]^2)/3486784401 + 
  (2402816*f[a[2]^2]*f[b[2]*c[3]]^2)/129140163 - 
  (12014080*f[a[1]^2*a[2]^2]*f[b[2]*c[3]]^2)/3486784401 + 
  (2957312*f[a[1]*a[3]]*f[b[2]*c[3]]^2)/129140163 - 
  (14786560*f[a[1]^3*a[3]]*f[b[2]*c[3]]^2)/1162261467 - 
  (82527488*f[a[3]^2]*f[b[2]*c[3]]^2)/3486784401 - 
  (189267968*f[a[2]*a[4]]*f[b[2]*c[3]]^2)/10460353203 - 
  (192225280*f[a[1]*a[5]]*f[b[2]*c[3]]^2)/10460353203 + 
  (4995328*f[b[1]*c[1]]*f[b[2]*c[3]]^2)/43046721 - 
  (24976640*f[a[1]^2*b[1]*c[1]]*f[b[2]*c[3]]^2)/1162261467 + 
  (124883200*f[a[1]^4*b[1]*c[1]]*f[b[2]*c[3]]^2)/10460353203 + 
  (129878528*f[a[2]^2*b[1]*c[1]]*f[b[2]*c[3]]^2)/10460353203 + 
  (159850496*f[a[1]*a[3]*b[1]*c[1]]*f[b[2]*c[3]]^2)/10460353203 + 
  (361103360*f[b[3]*c[1]]*f[b[2]*c[3]]^2)/1162261467 - 
  (1805516800*f[a[1]^2*b[3]*c[1]]*f[b[2]*c[3]]^2)/31381059609 + 
  (958791680*f[b[5]*c[1]]*f[b[2]*c[3]]^2)/10460353203 - 
  (92416*f[b[2]*c[2]]*f[b[2]*c[3]]^2)/531441 + 
  (462080*f[a[1]^2*b[2]*c[2]]*f[b[2]*c[3]]^2)/14348907 - 
  (2565079040*f[b[4]*c[2]]*f[b[2]*c[3]]^2)/10460353203 - 
  (4995328*f[b[1]*b[2]*c[1]*c[2]]*f[b[2]*c[3]]^2)/43046721 + 
  (409600*f[a[2]]*f[b[1]*c[1]]*f[a[1]*b[2]*c[3]])/4782969 - 
  (2048000*f[a[1]^2*a[2]]*f[b[1]*c[1]]*f[a[1]*b[2]*c[3]])/129140163 + 
  (10240000*f[a[1]^4*a[2]]*f[b[1]*c[1]]*f[a[1]*b[2]*c[3]])/1162261467 + 
  (10649600*f[a[2]^3]*f[b[1]*c[1]]*f[a[1]*b[2]*c[3]])/387420489 + 
  (13107200*f[a[1]*a[2]*a[3]]*f[b[1]*c[1]]*f[a[1]*b[2]*c[3]])/
   1162261467 - (1638400*f[a[4]]*f[b[1]*c[1]]*f[a[1]*b[2]*c[3]])/
   43046721 + (8192000*f[a[1]^2*a[4]]*f[b[1]*c[1]]*f[a[1]*b[2]*c[3]])/
   1162261467 + (10240000*f[a[6]]*f[b[1]*c[1]]*f[a[1]*b[2]*c[3]])/
   387420489 - (15155200*f[a[2]]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]*b[2]*c[3]])/129140163 - 
  (44646400*f[a[1]^2*a[2]]*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[2]*c[3]])/
   1162261467 + (1718272000*f[a[1]^4*a[2]]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]*b[2]*c[3]])/31381059609 + 
  (2173337600*f[a[2]^3]*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[2]*c[3]])/
   31381059609 - (91750400*f[a[1]*a[2]*a[3]]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]*b[2]*c[3]])/10460353203 + 
  (60620800*f[a[4]]*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[2]*c[3]])/1162261467 + 
  (178585600*f[a[1]^2*a[4]]*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[2]*c[3]])/
   10460353203 - (378880000*f[a[6]]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]*b[2]*c[3]])/10460353203 - 
  (209715200*f[a[1]*a[2]]*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[2]*c[3]])/
   1162261467 - (3565158400*f[a[1]^3*a[2]]*f[a[1]^3*b[1]*c[1]]*
     f[a[1]*b[2]*c[3]])/31381059609 + 
  (209715200*f[a[2]*a[3]]*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[2]*c[3]])/
   10460353203 + (838860800*f[a[1]*a[4]]*f[a[1]^3*b[1]*c[1]]*
     f[a[1]*b[2]*c[3]])/10460353203 + 
  (47104000*f[a[2]]*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[2]*c[3]])/387420489 - 
  (4010393600*f[a[1]^2*a[2]]*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[2]*c[3]])/
   10460353203 - (97969356800*f[a[1]^4*a[2]]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]*b[2]*c[3]])/282429536481 - 
  (282344652800*f[a[2]^3]*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[2]*c[3]])/
   847288609443 + (5282201600*f[a[1]*a[2]*a[3]]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]*b[2]*c[3]])/94143178827 - 
  (188416000*f[a[4]]*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[2]*c[3]])/
   3486784401 + (16041574400*f[a[1]^2*a[4]]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]*b[2]*c[3]])/94143178827 + 
  (1177600000*f[a[6]]*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[2]*c[3]])/
   31381059609 - (409600*f[1]*f[a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[3]])/
   4782969 + (15155200*f[a[1]^2]*f[a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[3]])/
   129140163 - (47104000*f[a[1]^4]*f[a[2]*b[1]*c[1]]*
     f[a[1]*b[2]*c[3]])/387420489 + 
  (5171200000*f[a[1]^6]*f[a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[3]])/
   31381059609 - (220364800*f[a[2]^2]*f[a[2]*b[1]*c[1]]*
     f[a[1]*b[2]*c[3]])/1162261467 + 
  (480870400*f[a[1]^2*a[2]^2]*f[a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[3]])/
   10460353203 + (26214400*f[a[1]*a[3]]*f[a[2]*b[1]*c[1]]*
     f[a[1]*b[2]*c[3]])/387420489 + 
  (26214400*f[a[1]^3*a[3]]*f[a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[3]])/
   10460353203 - (224051200*f[a[3]^2]*f[a[2]*b[1]*c[1]]*
     f[a[1]*b[2]*c[3]])/31381059609 + 
  (1677721600*f[a[2]*a[4]]*f[a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[3]])/
   31381059609 - (655360000*f[a[1]*a[5]]*f[a[2]*b[1]*c[1]]*
     f[a[1]*b[2]*c[3]])/31381059609 + 
  (209715200*f[a[1]^3]*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[3]])/
   1162261467 - (10485760000*f[a[1]^5]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[1]*b[2]*c[3]])/31381059609 - 
  (3355443200*f[a[1]*a[2]^2]*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[3]])/
   94143178827 + (104857600*f[a[3]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[1]*b[2]*c[3]])/1162261467 + 
  (734003200*f[a[1]^2*a[3]]*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[3]])/
   10460353203 - (3670016000*f[a[5]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[1]*b[2]*c[3]])/94143178827 + 
  (2048000*f[1]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[3]])/129140163 + 
  (44646400*f[a[1]^2]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[3]])/
   1162261467 + (4010393600*f[a[1]^4]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*b[2]*c[3]])/10460353203 - 
  (953845760000*f[a[1]^6]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[3]])/
   847288609443 + (20082688000*f[a[2]^2]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*b[2]*c[3]])/94143178827 + 
  (13953433600*f[a[1]^2*a[2]^2]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*b[2]*c[3]])/282429536481 + 
  (917504000*f[a[1]*a[3]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[3]])/
   10460353203 + (31116492800*f[a[1]^3*a[3]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*b[2]*c[3]])/282429536481 - 
  (18383257600*f[a[3]^2]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[3]])/
   847288609443 - (119118233600*f[a[2]*a[4]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*b[2]*c[3]])/2541865828329 - 
  (31326208000*f[a[1]*a[5]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*b[2]*c[3]])/847288609443 + 
  (220364800*f[a[2]]*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[2]*c[3]])/
   1162261467 - (20082688000*f[a[1]^2*a[2]]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]*b[2]*c[3]])/94143178827 + 
  (184299520000*f[a[1]^4*a[2]]*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[2]*c[3]])/
   847288609443 + (59416576000*f[a[2]^3]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]*b[2]*c[3]])/94143178827 - 
  (23147315200*f[a[1]*a[2]*a[3]]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]*b[2]*c[3]])/282429536481 - 
  (1222246400*f[a[4]]*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[2]*c[3]])/
   94143178827 - (7310540800*f[a[1]^2*a[4]]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]*b[2]*c[3]])/2541865828329 + 
  (3105587200*f[a[6]]*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[2]*c[3]])/
   282429536481 - (104857600*f[a[1]*a[2]]*f[a[3]*b[1]*c[1]]*
     f[a[1]*b[2]*c[3]])/1162261467 + 
  (524288000*f[a[1]^3*a[2]]*f[a[3]*b[1]*c[1]]*f[a[1]*b[2]*c[3]])/
   10460353203 + (4508876800*f[a[2]*a[3]]*f[a[3]*b[1]*c[1]]*
     f[a[1]*b[2]*c[3]])/31381059609 - 
  (419430400*f[a[1]*a[4]]*f[a[3]*b[1]*c[1]]*f[a[1]*b[2]*c[3]])/
   3486784401 - (26214400*f[a[2]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]*b[2]*c[3]])/387420489 - 
  (917504000*f[a[1]^2*a[2]]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*b[2]*c[3]])/
   10460353203 + (3276800000*f[a[1]^4*a[2]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]*b[2]*c[3]])/31381059609 + 
  (14732492800*f[a[2]^3]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*b[2]*c[3]])/
   94143178827 + (209715200*f[a[1]*a[2]*a[3]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]*b[2]*c[3]])/94143178827 - 
  (1363148800*f[a[4]]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*b[2]*c[3]])/
   10460353203 - (11429478400*f[a[1]^2*a[4]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]*b[2]*c[3]])/94143178827 + 
  (46058700800*f[a[6]]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*b[2]*c[3]])/
   847288609443 + (1638400*f[1]*f[a[4]*b[1]*c[1]]*f[a[1]*b[2]*c[3]])/
   43046721 - (60620800*f[a[1]^2]*f[a[4]*b[1]*c[1]]*f[a[1]*b[2]*c[3]])/
   1162261467 + (188416000*f[a[1]^4]*f[a[4]*b[1]*c[1]]*
     f[a[1]*b[2]*c[3]])/3486784401 - 
  (20684800000*f[a[1]^6]*f[a[4]*b[1]*c[1]]*f[a[1]*b[2]*c[3]])/
   282429536481 + (1222246400*f[a[2]^2]*f[a[4]*b[1]*c[1]]*
     f[a[1]*b[2]*c[3]])/94143178827 - 
  (18379571200*f[a[1]^2*a[2]^2]*f[a[4]*b[1]*c[1]]*f[a[1]*b[2]*c[3]])/
   2541865828329 + (1363148800*f[a[1]*a[3]]*f[a[4]*b[1]*c[1]]*
     f[a[1]*b[2]*c[3]])/10460353203 - 
  (104857600*f[a[1]^3*a[3]]*f[a[4]*b[1]*c[1]]*f[a[1]*b[2]*c[3]])/
   1162261467 - (9170124800*f[a[3]^2]*f[a[4]*b[1]*c[1]]*
     f[a[1]*b[2]*c[3]])/282429536481 - 
  (154350387200*f[a[2]*a[4]]*f[a[4]*b[1]*c[1]]*f[a[1]*b[2]*c[3]])/
   847288609443 + (384303104000*f[a[1]*a[5]]*f[a[4]*b[1]*c[1]]*
     f[a[1]*b[2]*c[3]])/2541865828329 - 
  (778240*f[a[1]]*f[b[2]*c[1]]*f[a[1]*b[2]*c[3]])/1594323 + 
  (3891200*f[a[1]^3]*f[b[2]*c[1]]*f[a[1]*b[2]*c[3]])/14348907 - 
  (97280000*f[a[1]^5]*f[b[2]*c[1]]*f[a[1]*b[2]*c[3]])/387420489 - 
  (20234240*f[a[1]*a[2]^2]*f[b[2]*c[1]]*f[a[1]*b[2]*c[3]])/387420489 + 
  (778240*f[a[3]]*f[b[2]*c[1]]*f[a[1]*b[2]*c[3]])/14348907 - 
  (17899520*f[a[1]^2*a[3]]*f[b[2]*c[1]]*f[a[1]*b[2]*c[3]])/129140163 - 
  (50585600*f[a[5]]*f[b[2]*c[1]]*f[a[1]*b[2]*c[3]])/1162261467 - 
  (52551680*f[a[1]*b[1]*c[1]]*f[b[2]*c[1]]*f[a[1]*b[2]*c[3]])/
   129140163 + (262758400*f[a[1]^3*b[1]*c[1]]*f[b[2]*c[1]]*
     f[a[1]*b[2]*c[3]])/1162261467 + 
  (52551680*f[a[3]*b[1]*c[1]]*f[b[2]*c[1]]*f[a[1]*b[2]*c[3]])/
   1162261467 - (778240*f[1]*f[a[1]*b[2]*c[1]]*f[a[1]*b[2]*c[3]])/
   1594323 - (778240*f[a[1]^2]*f[a[1]*b[2]*c[1]]*f[a[1]*b[2]*c[3]])/
   1594323 + (229580800*f[a[1]^4]*f[a[1]*b[2]*c[1]]*f[a[1]*b[2]*c[3]])/
   387420489 - (8852480000*f[a[1]^6]*f[a[1]*b[2]*c[1]]*
     f[a[1]*b[2]*c[3]])/10460353203 + 
  (337756160*f[a[2]^2]*f[a[1]*b[2]*c[1]]*f[a[1]*b[2]*c[3]])/
   1162261467 - (3631267840*f[a[1]^2*a[2]^2]*f[a[1]*b[2]*c[1]]*
     f[a[1]*b[2]*c[3]])/31381059609 - 
  (796917760*f[a[1]^3*a[3]]*f[a[1]*b[2]*c[1]]*f[a[1]*b[2]*c[3]])/
   3486784401 + (620257280*f[a[3]^2]*f[a[1]*b[2]*c[1]]*
     f[a[1]*b[2]*c[3]])/10460353203 - 
  (3187671040*f[a[2]*a[4]]*f[a[1]*b[2]*c[1]]*f[a[1]*b[2]*c[3]])/
   31381059609 - (52551680*f[b[1]*c[1]]*f[a[1]*b[2]*c[1]]*
     f[a[1]*b[2]*c[3]])/129140163 - 
  (52551680*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*f[a[1]*b[2]*c[3]])/
   129140163 + (15502745600*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*
     f[a[1]*b[2]*c[3]])/31381059609 + 
  (22807429120*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*
     f[a[1]*b[2]*c[3]])/94143178827 - 
  (778240*f[a[1]]*f[a[1]^2*b[2]*c[1]]*f[a[1]*b[2]*c[3]])/1594323 - 
  (293396480*f[a[1]^3]*f[a[1]^2*b[2]*c[1]]*f[a[1]*b[2]*c[3]])/
   387420489 + (17296384000*f[a[1]^5]*f[a[1]^2*b[2]*c[1]]*
     f[a[1]*b[2]*c[3]])/10460353203 + 
  (4736368640*f[a[1]*a[2]^2]*f[a[1]^2*b[2]*c[1]]*f[a[1]*b[2]*c[3]])/
   31381059609 + (778240*f[a[3]]*f[a[1]^2*b[2]*c[1]]*
     f[a[1]*b[2]*c[3]])/14348907 - 
  (84828160*f[a[1]^2*a[3]]*f[a[1]^2*b[2]*c[1]]*f[a[1]*b[2]*c[3]])/
   3486784401 - (50585600*f[a[5]]*f[a[1]^2*b[2]*c[1]]*
     f[a[1]*b[2]*c[3]])/1162261467 - 
  (52551680*f[a[1]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*f[a[1]*b[2]*c[3]])/
   129140163 - (19811983360*f[a[1]^3*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*
     f[a[1]*b[2]*c[3]])/31381059609 + 
  (52551680*f[a[3]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*f[a[1]*b[2]*c[3]])/
   1162261467 + (3891200*f[1]*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[2]*c[3]])/
   14348907 - (293396480*f[a[1]^2]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*b[2]*c[3]])/387420489 - 
  (16991313920*f[a[1]^4]*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[2]*c[3]])/
   10460353203 + (177458176000*f[a[1]^6]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*b[2]*c[3]])/31381059609 - 
  (2688040960*f[a[2]^2]*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[2]*c[3]])/
   3486784401 + (701972480*f[a[1]^2*a[2]^2]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*b[2]*c[3]])/10460353203 + 
  (398458880*f[a[1]*a[3]]*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[2]*c[3]])/
   3486784401 - (6773800960*f[a[1]^3*a[3]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*b[2]*c[3]])/94143178827 - 
  (4296663040*f[a[3]^2]*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[2]*c[3]])/
   94143178827 + (92442460160*f[a[2]*a[4]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*b[2]*c[3]])/282429536481 - 
  (25899827200*f[a[1]*a[5]]*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[2]*c[3]])/
   282429536481 + (262758400*f[b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*b[2]*c[3]])/1162261467 - 
  (19811983360*f[a[1]^2*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*b[2]*c[3]])/31381059609 - 
  (1147360829440*f[a[1]^4*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*b[2]*c[3]])/847288609443 - 
  (181513502720*f[a[2]^2*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*b[2]*c[3]])/282429536481 + 
  (26906460160*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*b[2]*c[3]])/282429536481 + 
  (398458880*f[a[1]*a[2]]*f[a[2]*b[2]*c[1]]*f[a[1]*b[2]*c[3]])/
   1162261467 - (1992294400*f[a[1]^3*a[2]]*f[a[2]*b[2]*c[1]]*
     f[a[1]*b[2]*c[3]])/10460353203 - 
  (398458880*f[a[2]*a[3]]*f[a[2]*b[2]*c[1]]*f[a[1]*b[2]*c[3]])/
   1162261467 + (1593835520*f[a[1]*a[4]]*f[a[2]*b[2]*c[1]]*
     f[a[1]*b[2]*c[3]])/31381059609 + 
  (26906460160*f[a[1]*a[2]*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*
     f[a[1]*b[2]*c[3]])/94143178827 + 
  (398458880*f[a[2]]*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]*b[2]*c[3]])/
   1162261467 + (17133731840*f[a[1]^2*a[2]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]*b[2]*c[3]])/31381059609 - 
  (181298790400*f[a[1]^4*a[2]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]*b[2]*c[3]])/282429536481 - 
  (91645542400*f[a[2]^3]*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]*b[2]*c[3]])/
   94143178827 - (6375342080*f[a[1]*a[2]*a[3]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]*b[2]*c[3]])/282429536481 + 
  (1593835520*f[a[4]]*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]*b[2]*c[3]])/
   31381059609 - (11156848640*f[a[1]^2*a[4]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]*b[2]*c[3]])/282429536481 - 
  (2789212160*f[a[6]]*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]*b[2]*c[3]])/
   94143178827 + (26906460160*f[a[2]*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]*b[2]*c[3]])/94143178827 + 
  (1156977786880*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]*b[2]*c[3]])/2541865828329 + 
  (107625840640*f[a[4]*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]*b[2]*c[3]])/2541865828329 + 
  (778240*f[1]*f[a[3]*b[2]*c[1]]*f[a[1]*b[2]*c[3]])/14348907 + 
  (778240*f[a[1]^2]*f[a[3]*b[2]*c[1]]*f[a[1]*b[2]*c[3]])/14348907 - 
  (229580800*f[a[1]^4]*f[a[3]*b[2]*c[1]]*f[a[1]*b[2]*c[3]])/
   3486784401 + (8852480000*f[a[1]^6]*f[a[3]*b[2]*c[1]]*
     f[a[1]*b[2]*c[3]])/94143178827 + 
  (670842880*f[a[2]^2]*f[a[3]*b[2]*c[1]]*f[a[1]*b[2]*c[3]])/
   1162261467 - (9415147520*f[a[1]^2*a[2]^2]*f[a[3]*b[2]*c[1]]*
     f[a[1]*b[2]*c[3]])/94143178827 - 
  (7969177600*f[a[1]*a[3]]*f[a[3]*b[2]*c[1]]*f[a[1]*b[2]*c[3]])/
   10460353203 + (42236641280*f[a[1]^3*a[3]]*f[a[3]*b[2]*c[1]]*
     f[a[1]*b[2]*c[3]])/94143178827 + 
  (778240*f[a[3]^2]*f[a[3]*b[2]*c[1]]*f[a[1]*b[2]*c[3]])/4782969 + 
  (79691776000*f[a[2]*a[4]]*f[a[3]*b[2]*c[1]]*f[a[1]*b[2]*c[3]])/
   282429536481 + (7969177600*f[a[1]*a[5]]*f[a[3]*b[2]*c[1]]*
     f[a[1]*b[2]*c[3]])/282429536481 + 
  (52551680*f[b[1]*c[1]]*f[a[3]*b[2]*c[1]]*f[a[1]*b[2]*c[3]])/
   1162261467 + (52551680*f[a[1]^2*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[a[1]*b[2]*c[3]])/1162261467 - 
  (15502745600*f[a[1]^4*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[a[1]*b[2]*c[3]])/282429536481 + 
  (45299548160*f[a[2]^2*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[a[1]*b[2]*c[3]])/94143178827 - 
  (538129203200*f[a[1]*a[3]*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[a[1]*b[2]*c[3]])/847288609443 + 
  (90030080*f[a[2]]*f[b[3]*c[1]]*f[a[1]*b[2]*c[3]])/129140163 - 
  (450150400*f[a[1]^2*a[2]]*f[b[3]*c[1]]*f[a[1]*b[2]*c[3]])/
   3486784401 + (2250752000*f[a[1]^4*a[2]]*f[b[3]*c[1]]*
     f[a[1]*b[2]*c[3]])/31381059609 + 
  (2340782080*f[a[2]^3]*f[b[3]*c[1]]*f[a[1]*b[2]*c[3]])/10460353203 + 
  (2880962560*f[a[1]*a[2]*a[3]]*f[b[3]*c[1]]*f[a[1]*b[2]*c[3]])/
   31381059609 - (360120320*f[a[4]]*f[b[3]*c[1]]*f[a[1]*b[2]*c[3]])/
   1162261467 + (1800601600*f[a[1]^2*a[4]]*f[b[3]*c[1]]*
     f[a[1]*b[2]*c[3]])/31381059609 + 
  (2250752000*f[a[6]]*f[b[3]*c[1]]*f[a[1]*b[2]*c[3]])/10460353203 + 
  (1759723520*f[a[2]*b[1]*c[1]]*f[b[3]*c[1]]*f[a[1]*b[2]*c[3]])/
   3486784401 - (8798617600*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[3]*c[1]]*
     f[a[1]*b[2]*c[3]])/94143178827 - 
  (7038894080*f[a[4]*b[1]*c[1]]*f[b[3]*c[1]]*f[a[1]*b[2]*c[3]])/
   31381059609 - (1520435200*f[a[1]*b[2]*c[1]]*f[b[3]*c[1]]*
     f[a[1]*b[2]*c[3]])/3486784401 + 
  (7602176000*f[a[1]^3*b[2]*c[1]]*f[b[3]*c[1]]*f[a[1]*b[2]*c[3]])/
   31381059609 + (1520435200*f[a[3]*b[2]*c[1]]*f[b[3]*c[1]]*
     f[a[1]*b[2]*c[3]])/31381059609 - 
  (1520435200*f[b[2]*c[1]]*f[a[1]*b[3]*c[1]]*f[a[1]*b[2]*c[3]])/
   3486784401 - (1520435200*f[a[1]^2*b[2]*c[1]]*f[a[1]*b[3]*c[1]]*
     f[a[1]*b[2]*c[3]])/3486784401 - 
  (3331112960*f[a[2]]*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[2]*c[3]])/
   3486784401 - (9813278720*f[a[1]^2*a[2]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]*b[2]*c[3]])/31381059609 + 
  (377676185600*f[a[1]^4*a[2]]*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[2]*c[3]])/
   847288609443 + (477699604480*f[a[2]^3]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]*b[2]*c[3]])/847288609443 - 
  (20166737920*f[a[1]*a[2]*a[3]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]*b[2]*c[3]])/282429536481 + 
  (13324451840*f[a[4]]*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[2]*c[3]])/
   31381059609 + (39253114880*f[a[1]^2*a[4]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]*b[2]*c[3]])/282429536481 - 
  (83277824000*f[a[6]]*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[2]*c[3]])/
   282429536481 - (65109770240*f[a[2]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]*b[2]*c[3]])/94143178827 - 
  (191809863680*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]*b[2]*c[3]])/847288609443 + 
  (260439080960*f[a[4]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]*b[2]*c[3]])/847288609443 - 
  (1520435200*f[a[1]*b[2]*c[1]]*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[2]*c[3]])/
   3486784401 - (573204070400*f[a[1]^3*b[2]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]*b[2]*c[3]])/847288609443 + 
  (1520435200*f[a[3]*b[2]*c[1]]*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[2]*c[3]])/
   31381059609 - (90030080*f[1]*f[a[2]*b[3]*c[1]]*f[a[1]*b[2]*c[3]])/
   129140163 + (3331112960*f[a[1]^2]*f[a[2]*b[3]*c[1]]*
     f[a[1]*b[2]*c[3]])/3486784401 - 
  (10353459200*f[a[1]^4]*f[a[2]*b[3]*c[1]]*f[a[1]*b[2]*c[3]])/
   10460353203 + (1136629760000*f[a[1]^6]*f[a[2]*b[3]*c[1]]*
     f[a[1]*b[2]*c[3]])/847288609443 - 
  (48436183040*f[a[2]^2]*f[a[2]*b[3]*c[1]]*f[a[1]*b[2]*c[3]])/
   31381059609 + (105695313920*f[a[1]^2*a[2]^2]*f[a[2]*b[3]*c[1]]*
     f[a[1]*b[2]*c[3]])/282429536481 + 
  (5761925120*f[a[1]*a[3]]*f[a[2]*b[3]*c[1]]*f[a[1]*b[2]*c[3]])/
   10460353203 + (5761925120*f[a[1]^3*a[3]]*f[a[2]*b[3]*c[1]]*
     f[a[1]*b[2]*c[3]])/282429536481 - 
  (49246453760*f[a[3]^2]*f[a[2]*b[3]*c[1]]*f[a[1]*b[2]*c[3]])/
   847288609443 + (368763207680*f[a[2]*a[4]]*f[a[2]*b[3]*c[1]]*
     f[a[1]*b[2]*c[3]])/847288609443 - 
  (144048128000*f[a[1]*a[5]]*f[a[2]*b[3]*c[1]]*f[a[1]*b[2]*c[3]])/
   847288609443 - (1759723520*f[b[1]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[a[1]*b[2]*c[3]])/3486784401 + 
  (65109770240*f[a[1]^2*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[a[1]*b[2]*c[3]])/94143178827 - 
  (202368204800*f[a[1]^4*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[a[1]*b[2]*c[3]])/282429536481 - 
  (946731253760*f[a[2]^2*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[a[1]*b[2]*c[3]])/847288609443 + 
  (112622305280*f[a[1]*a[3]*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[a[1]*b[2]*c[3]])/282429536481 + 
  (778462822400*f[a[1]*a[2]*b[2]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[a[1]*b[2]*c[3]])/2541865828329 - 
  (33996800*f[a[1]]*f[b[4]*c[1]]*f[a[1]*b[2]*c[3]])/43046721 + 
  (169984000*f[a[1]^3]*f[b[4]*c[1]]*f[a[1]*b[2]*c[3]])/387420489 - 
  (4249600000*f[a[1]^5]*f[b[4]*c[1]]*f[a[1]*b[2]*c[3]])/10460353203 - 
  (883916800*f[a[1]*a[2]^2]*f[b[4]*c[1]]*f[a[1]*b[2]*c[3]])/
   10460353203 + (33996800*f[a[3]]*f[b[4]*c[1]]*f[a[1]*b[2]*c[3]])/
   387420489 - (781926400*f[a[1]^2*a[3]]*f[b[4]*c[1]]*
     f[a[1]*b[2]*c[3]])/3486784401 - 
  (2209792000*f[a[5]]*f[b[4]*c[1]]*f[a[1]*b[2]*c[3]])/31381059609 - 
  (201113600*f[a[1]*b[1]*c[1]]*f[b[4]*c[1]]*f[a[1]*b[2]*c[3]])/
   387420489 + (1005568000*f[a[1]^3*b[1]*c[1]]*f[b[4]*c[1]]*
     f[a[1]*b[2]*c[3]])/3486784401 + 
  (201113600*f[a[3]*b[1]*c[1]]*f[b[4]*c[1]]*f[a[1]*b[2]*c[3]])/
   3486784401 + (14763950080*f[a[2]*b[2]*c[1]]*f[b[4]*c[1]]*
     f[a[1]*b[2]*c[3]])/31381059609 + 
  (13442744320*f[a[1]*b[3]*c[1]]*f[b[4]*c[1]]*f[a[1]*b[2]*c[3]])/
   31381059609 - (33996800*f[1]*f[a[1]*b[4]*c[1]]*f[a[1]*b[2]*c[3]])/
   43046721 - (33996800*f[a[1]^2]*f[a[1]*b[4]*c[1]]*f[a[1]*b[2]*c[3]])/
   43046721 + (10029056000*f[a[1]^4]*f[a[1]*b[4]*c[1]]*
     f[a[1]*b[2]*c[3]])/10460353203 - 
  (386713600000*f[a[1]^6]*f[a[1]*b[4]*c[1]]*f[a[1]*b[2]*c[3]])/
   282429536481 + (14754611200*f[a[2]^2]*f[a[1]*b[4]*c[1]]*
     f[a[1]*b[2]*c[3]])/31381059609 - 
  (158629068800*f[a[1]^2*a[2]^2]*f[a[1]*b[4]*c[1]]*f[a[1]*b[2]*c[3]])/
   847288609443 - (34812723200*f[a[1]^3*a[3]]*f[a[1]*b[4]*c[1]]*
     f[a[1]*b[2]*c[3]])/94143178827 + 
  (27095449600*f[a[3]^2]*f[a[1]*b[4]*c[1]]*f[a[1]*b[2]*c[3]])/
   282429536481 - (139250892800*f[a[2]*a[4]]*f[a[1]*b[4]*c[1]]*
     f[a[1]*b[2]*c[3]])/847288609443 - 
  (201113600*f[b[1]*c[1]]*f[a[1]*b[4]*c[1]]*f[a[1]*b[2]*c[3]])/
   387420489 - (201113600*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[a[1]*b[2]*c[3]])/387420489 + 
  (59328512000*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[a[1]*b[2]*c[3]])/94143178827 + 
  (87283302400*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[a[1]*b[2]*c[3]])/282429536481 + 
  (13442744320*f[b[3]*c[1]]*f[a[1]*b[4]*c[1]]*f[a[1]*b[2]*c[3]])/
   31381059609 + (13442744320*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[a[1]*b[2]*c[3]])/31381059609 + 
  (91340800*f[a[2]]*f[b[5]*c[1]]*f[a[1]*b[2]*c[3]])/1162261467 - 
  (456704000*f[a[1]^2*a[2]]*f[b[5]*c[1]]*f[a[1]*b[2]*c[3]])/
   31381059609 + (2283520000*f[a[1]^4*a[2]]*f[b[5]*c[1]]*
     f[a[1]*b[2]*c[3]])/282429536481 + 
  (2374860800*f[a[2]^3]*f[b[5]*c[1]]*f[a[1]*b[2]*c[3]])/94143178827 + 
  (2922905600*f[a[1]*a[2]*a[3]]*f[b[5]*c[1]]*f[a[1]*b[2]*c[3]])/
   282429536481 - (365363200*f[a[4]]*f[b[5]*c[1]]*f[a[1]*b[2]*c[3]])/
   10460353203 + (1826816000*f[a[1]^2*a[4]]*f[b[5]*c[1]]*
     f[a[1]*b[2]*c[3]])/282429536481 + 
  (2283520000*f[a[6]]*f[b[5]*c[1]]*f[a[1]*b[2]*c[3]])/94143178827 + 
  (4043161600*f[a[2]*b[1]*c[1]]*f[b[5]*c[1]]*f[a[1]*b[2]*c[3]])/
   94143178827 - (20215808000*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[5]*c[1]]*
     f[a[1]*b[2]*c[3]])/2541865828329 - 
  (16172646400*f[a[4]*b[1]*c[1]]*f[b[5]*c[1]]*f[a[1]*b[2]*c[3]])/
   847288609443 - (4037017600*f[a[1]*b[2]*c[1]]*f[b[5]*c[1]]*
     f[a[1]*b[2]*c[3]])/31381059609 + 
  (20185088000*f[a[1]^3*b[2]*c[1]]*f[b[5]*c[1]]*f[a[1]*b[2]*c[3]])/
   282429536481 + (4037017600*f[a[3]*b[2]*c[1]]*f[b[5]*c[1]]*
     f[a[1]*b[2]*c[3]])/282429536481 - 
  (288568115200*f[a[2]*b[3]*c[1]]*f[b[5]*c[1]]*f[a[1]*b[2]*c[3]])/
   2541865828329 - (68052582400*f[a[1]*b[4]*c[1]]*f[b[5]*c[1]]*
     f[a[1]*b[2]*c[3]])/847288609443 + 
  (143360*f[a[1]]*f[b[1]*c[2]]*f[a[1]*b[2]*c[3]])/1594323 - 
  (716800*f[a[1]^3]*f[b[1]*c[2]]*f[a[1]*b[2]*c[3]])/14348907 + 
  (17920000*f[a[1]^5]*f[b[1]*c[2]]*f[a[1]*b[2]*c[3]])/387420489 + 
  (3727360*f[a[1]*a[2]^2]*f[b[1]*c[2]]*f[a[1]*b[2]*c[3]])/387420489 - 
  (143360*f[a[3]]*f[b[1]*c[2]]*f[a[1]*b[2]*c[3]])/14348907 + 
  (3297280*f[a[1]^2*a[3]]*f[b[1]*c[2]]*f[a[1]*b[2]*c[3]])/129140163 + 
  (9318400*f[a[5]]*f[b[1]*c[2]]*f[a[1]*b[2]*c[3]])/1162261467 - 
  (2805760*f[a[1]*b[1]*c[1]]*f[b[1]*c[2]]*f[a[1]*b[2]*c[3]])/
   129140163 + (14028800*f[a[1]^3*b[1]*c[1]]*f[b[1]*c[2]]*
     f[a[1]*b[2]*c[3]])/1162261467 + 
  (2805760*f[a[3]*b[1]*c[1]]*f[b[1]*c[2]]*f[a[1]*b[2]*c[3]])/
   1162261467 - (58720256*f[a[2]*b[2]*c[1]]*f[b[1]*c[2]]*
     f[a[1]*b[2]*c[3]])/1162261467 - 
  (333185024*f[a[1]*b[3]*c[1]]*f[b[1]*c[2]]*f[a[1]*b[2]*c[3]])/
   1162261467 + (143360*f[1]*f[a[1]*b[1]*c[2]]*f[a[1]*b[2]*c[3]])/
   1594323 + (143360*f[a[1]^2]*f[a[1]*b[1]*c[2]]*f[a[1]*b[2]*c[3]])/
   1594323 - (42291200*f[a[1]^4]*f[a[1]*b[1]*c[2]]*f[a[1]*b[2]*c[3]])/
   387420489 + (1630720000*f[a[1]^6]*f[a[1]*b[1]*c[2]]*
     f[a[1]*b[2]*c[3]])/10460353203 - 
  (62218240*f[a[2]^2]*f[a[1]*b[1]*c[2]]*f[a[1]*b[2]*c[3]])/1162261467 + 
  (668917760*f[a[1]^2*a[2]^2]*f[a[1]*b[1]*c[2]]*f[a[1]*b[2]*c[3]])/
   31381059609 + (146800640*f[a[1]^3*a[3]]*f[a[1]*b[1]*c[2]]*
     f[a[1]*b[2]*c[3]])/3486784401 - 
  (114257920*f[a[3]^2]*f[a[1]*b[1]*c[2]]*f[a[1]*b[2]*c[3]])/
   10460353203 + (587202560*f[a[2]*a[4]]*f[a[1]*b[1]*c[2]]*
     f[a[1]*b[2]*c[3]])/31381059609 - 
  (2805760*f[b[1]*c[1]]*f[a[1]*b[1]*c[2]]*f[a[1]*b[2]*c[3]])/
   129140163 - (2805760*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[a[1]*b[2]*c[3]])/129140163 + 
  (827699200*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[1]*c[2]]*f[a[1]*b[2]*c[3]])/
   31381059609 + (1217699840*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[a[1]*b[2]*c[3]])/94143178827 - 
  (333185024*f[b[3]*c[1]]*f[a[1]*b[1]*c[2]]*f[a[1]*b[2]*c[3]])/
   1162261467 - (333185024*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[a[1]*b[2]*c[3]])/1162261467 + 
  (575406080*f[b[5]*c[1]]*f[a[1]*b[1]*c[2]]*f[a[1]*b[2]*c[3]])/
   31381059609 + (143360*f[a[1]]*f[a[1]^2*b[1]*c[2]]*
     f[a[1]*b[2]*c[3]])/1594323 + 
  (54046720*f[a[1]^3]*f[a[1]^2*b[1]*c[2]]*f[a[1]*b[2]*c[3]])/
   387420489 - (3186176000*f[a[1]^5]*f[a[1]^2*b[1]*c[2]]*
     f[a[1]*b[2]*c[3]])/10460353203 - 
  (872488960*f[a[1]*a[2]^2]*f[a[1]^2*b[1]*c[2]]*f[a[1]*b[2]*c[3]])/
   31381059609 - (143360*f[a[3]]*f[a[1]^2*b[1]*c[2]]*
     f[a[1]*b[2]*c[3]])/14348907 + 
  (15626240*f[a[1]^2*a[3]]*f[a[1]^2*b[1]*c[2]]*f[a[1]*b[2]*c[3]])/
   3486784401 + (9318400*f[a[5]]*f[a[1]^2*b[1]*c[2]]*
     f[a[1]*b[2]*c[3]])/1162261467 - 
  (2805760*f[a[1]*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]]*f[a[1]*b[2]*c[3]])/
   129140163 - (1057771520*f[a[1]^3*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]]*
     f[a[1]*b[2]*c[3]])/31381059609 + 
  (2805760*f[a[3]*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]]*f[a[1]*b[2]*c[3]])/
   1162261467 + (2172649472*f[a[2]*b[2]*c[1]]*f[a[1]^2*b[1]*c[2]]*
     f[a[1]*b[2]*c[3]])/31381059609 - 
  (333185024*f[a[1]*b[3]*c[1]]*f[a[1]^2*b[1]*c[2]]*f[a[1]*b[2]*c[3]])/
   1162261467 - (716800*f[1]*f[a[1]^3*b[1]*c[2]]*f[a[1]*b[2]*c[3]])/
   14348907 + (54046720*f[a[1]^2]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]*b[2]*c[3]])/387420489 + 
  (3129978880*f[a[1]^4]*f[a[1]^3*b[1]*c[2]]*f[a[1]*b[2]*c[3]])/
   10460353203 - (32689664000*f[a[1]^6]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]*b[2]*c[3]])/31381059609 + 
  (495165440*f[a[2]^2]*f[a[1]^3*b[1]*c[2]]*f[a[1]*b[2]*c[3]])/
   3486784401 - (129310720*f[a[1]^2*a[2]^2]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]*b[2]*c[3]])/10460353203 - 
  (73400320*f[a[1]*a[3]]*f[a[1]^3*b[1]*c[2]]*f[a[1]*b[2]*c[3]])/
   3486784401 + (1247805440*f[a[1]^3*a[3]]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]*b[2]*c[3]])/94143178827 + 
  (791490560*f[a[3]^2]*f[a[1]^3*b[1]*c[2]]*f[a[1]*b[2]*c[3]])/
   94143178827 - (17028874240*f[a[2]*a[4]]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]*b[2]*c[3]])/282429536481 + 
  (4771020800*f[a[1]*a[5]]*f[a[1]^3*b[1]*c[2]]*f[a[1]*b[2]*c[3]])/
   282429536481 + (14028800*f[b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]*b[2]*c[3]])/1162261467 - 
  (1057771520*f[a[1]^2*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]*b[2]*c[3]])/31381059609 - 
  (61258158080*f[a[1]^4*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]*b[2]*c[3]])/847288609443 - 
  (9691095040*f[a[2]^2*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]*b[2]*c[3]])/282429536481 + 
  (1436549120*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]*b[2]*c[3]])/282429536481 + 
  (30064771072*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]*b[2]*c[3]])/282429536481 + 
  (1665925120*f[b[3]*c[1]]*f[a[1]^3*b[1]*c[2]]*f[a[1]*b[2]*c[3]])/
   10460353203 - (125610754048*f[a[1]^2*b[3]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]*b[2]*c[3]])/282429536481 - 
  (2877030400*f[b[5]*c[1]]*f[a[1]^3*b[1]*c[2]]*f[a[1]*b[2]*c[3]])/
   282429536481 - (73400320*f[a[1]*a[2]]*f[a[2]*b[1]*c[2]]*
     f[a[1]*b[2]*c[3]])/1162261467 + 
  (367001600*f[a[1]^3*a[2]]*f[a[2]*b[1]*c[2]]*f[a[1]*b[2]*c[3]])/
   10460353203 + (73400320*f[a[2]*a[3]]*f[a[2]*b[1]*c[2]]*
     f[a[1]*b[2]*c[3]])/1162261467 - 
  (293601280*f[a[1]*a[4]]*f[a[2]*b[1]*c[2]]*f[a[1]*b[2]*c[3]])/
   31381059609 + (1436549120*f[a[1]*a[2]*b[1]*c[1]]*f[a[2]*b[1]*c[2]]*
     f[a[1]*b[2]*c[3]])/94143178827 + 
  (58720256*f[b[2]*c[1]]*f[a[2]*b[1]*c[2]]*f[a[1]*b[2]*c[3]])/
   1162261467 - (2172649472*f[a[1]^2*b[2]*c[1]]*f[a[2]*b[1]*c[2]]*
     f[a[1]*b[2]*c[3]])/31381059609 + 
  (13379829760*f[b[4]*c[1]]*f[a[2]*b[1]*c[2]]*f[a[1]*b[2]*c[3]])/
   94143178827 - (73400320*f[a[2]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[1]*b[2]*c[3]])/1162261467 - 
  (3156213760*f[a[1]^2*a[2]]*f[a[1]*a[2]*b[1]*c[2]]*f[a[1]*b[2]*c[3]])/
   31381059609 + (33397145600*f[a[1]^4*a[2]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[1]*b[2]*c[3]])/282429536481 + 
  (16882073600*f[a[2]^3]*f[a[1]*a[2]*b[1]*c[2]]*f[a[1]*b[2]*c[3]])/
   94143178827 + (1174405120*f[a[1]*a[2]*a[3]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[1]*b[2]*c[3]])/282429536481 - 
  (293601280*f[a[4]]*f[a[1]*a[2]*b[1]*c[2]]*f[a[1]*b[2]*c[3]])/
   31381059609 + (2055208960*f[a[1]^2*a[4]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[1]*b[2]*c[3]])/282429536481 + 
  (513802240*f[a[6]]*f[a[1]*a[2]*b[1]*c[2]]*f[a[1]*b[2]*c[3]])/
   94143178827 + (1436549120*f[a[2]*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[1]*b[2]*c[3]])/94143178827 + 
  (61771612160*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[1]*b[2]*c[3]])/2541865828329 + 
  (5746196480*f[a[4]*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[1]*b[2]*c[3]])/2541865828329 - 
  (30064771072*f[a[1]^3*b[2]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[1]*b[2]*c[3]])/282429536481 - 
  (15032385536*f[a[3]*b[2]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[1]*b[2]*c[3]])/282429536481 + 
  (170590732288*f[a[2]*b[3]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[1]*b[2]*c[3]])/847288609443 - 
  (143360*f[1]*f[a[3]*b[1]*c[2]]*f[a[1]*b[2]*c[3]])/14348907 - 
  (143360*f[a[1]^2]*f[a[3]*b[1]*c[2]]*f[a[1]*b[2]*c[3]])/14348907 + 
  (42291200*f[a[1]^4]*f[a[3]*b[1]*c[2]]*f[a[1]*b[2]*c[3]])/3486784401 - 
  (1630720000*f[a[1]^6]*f[a[3]*b[1]*c[2]]*f[a[1]*b[2]*c[3]])/
   94143178827 - (123576320*f[a[2]^2]*f[a[3]*b[1]*c[2]]*
     f[a[1]*b[2]*c[3]])/1162261467 + 
  (1734369280*f[a[1]^2*a[2]^2]*f[a[3]*b[1]*c[2]]*f[a[1]*b[2]*c[3]])/
   94143178827 + (1468006400*f[a[1]*a[3]]*f[a[3]*b[1]*c[2]]*
     f[a[1]*b[2]*c[3]])/10460353203 - 
  (7780433920*f[a[1]^3*a[3]]*f[a[3]*b[1]*c[2]]*f[a[1]*b[2]*c[3]])/
   94143178827 - (143360*f[a[3]^2]*f[a[3]*b[1]*c[2]]*
     f[a[1]*b[2]*c[3]])/4782969 - 
  (14680064000*f[a[2]*a[4]]*f[a[3]*b[1]*c[2]]*f[a[1]*b[2]*c[3]])/
   282429536481 - (1468006400*f[a[1]*a[5]]*f[a[3]*b[1]*c[2]]*
     f[a[1]*b[2]*c[3]])/282429536481 + 
  (2805760*f[b[1]*c[1]]*f[a[3]*b[1]*c[2]]*f[a[1]*b[2]*c[3]])/
   1162261467 + (2805760*f[a[1]^2*b[1]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[a[1]*b[2]*c[3]])/1162261467 - 
  (827699200*f[a[1]^4*b[1]*c[1]]*f[a[3]*b[1]*c[2]]*f[a[1]*b[2]*c[3]])/
   282429536481 + (2418565120*f[a[2]^2*b[1]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[a[1]*b[2]*c[3]])/94143178827 - 
  (28730982400*f[a[1]*a[3]*b[1]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[a[1]*b[2]*c[3]])/847288609443 + 
  (15032385536*f[a[1]*a[2]*b[2]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[a[1]*b[2]*c[3]])/282429536481 + 
  (333185024*f[b[3]*c[1]]*f[a[3]*b[1]*c[2]]*f[a[1]*b[2]*c[3]])/
   10460353203 + (333185024*f[a[1]^2*b[3]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[a[1]*b[2]*c[3]])/10460353203 - 
  (575406080*f[b[5]*c[1]]*f[a[3]*b[1]*c[2]]*f[a[1]*b[2]*c[3]])/
   282429536481 + (4358144*f[a[2]]*f[b[2]*c[2]]*f[a[1]*b[2]*c[3]])/
   14348907 - (21790720*f[a[1]^2*a[2]]*f[b[2]*c[2]]*f[a[1]*b[2]*c[3]])/
   387420489 + (108953600*f[a[1]^4*a[2]]*f[b[2]*c[2]]*
     f[a[1]*b[2]*c[3]])/3486784401 + 
  (113311744*f[a[2]^3]*f[b[2]*c[2]]*f[a[1]*b[2]*c[3]])/1162261467 + 
  (139460608*f[a[1]*a[2]*a[3]]*f[b[2]*c[2]]*f[a[1]*b[2]*c[3]])/
   3486784401 - (17432576*f[a[4]]*f[b[2]*c[2]]*f[a[1]*b[2]*c[3]])/
   129140163 + (87162880*f[a[1]^2*a[4]]*f[b[2]*c[2]]*
     f[a[1]*b[2]*c[3]])/3486784401 + 
  (108953600*f[a[6]]*f[b[2]*c[2]]*f[a[1]*b[2]*c[3]])/1162261467 + 
  (72957952*f[a[2]*b[1]*c[1]]*f[b[2]*c[2]]*f[a[1]*b[2]*c[3]])/
   1162261467 - (364789760*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[2]*c[2]]*
     f[a[1]*b[2]*c[3]])/31381059609 - 
  (291831808*f[a[4]*b[1]*c[1]]*f[b[2]*c[2]]*f[a[1]*b[2]*c[3]])/
   10460353203 + (778240*f[a[1]*b[2]*c[1]]*f[b[2]*c[2]]*
     f[a[1]*b[2]*c[3]])/1594323 - 
  (3891200*f[a[1]^3*b[2]*c[1]]*f[b[2]*c[2]]*f[a[1]*b[2]*c[3]])/
   14348907 - (778240*f[a[3]*b[2]*c[1]]*f[b[2]*c[2]]*
     f[a[1]*b[2]*c[3]])/14348907 + 
  (4397547520*f[a[2]*b[3]*c[1]]*f[b[2]*c[2]]*f[a[1]*b[2]*c[3]])/
   31381059609 + (13983334400*f[a[1]*b[4]*c[1]]*f[b[2]*c[2]]*
     f[a[1]*b[2]*c[3]])/31381059609 + 
  (56913920*f[a[1]*b[1]*c[2]]*f[b[2]*c[2]]*f[a[1]*b[2]*c[3]])/
   387420489 - (284569600*f[a[1]^3*b[1]*c[2]]*f[b[2]*c[2]]*
     f[a[1]*b[2]*c[3]])/3486784401 - 
  (56913920*f[a[3]*b[1]*c[2]]*f[b[2]*c[2]]*f[a[1]*b[2]*c[3]])/
   3486784401 + (778240*f[b[2]*c[1]]*f[a[1]*b[2]*c[2]]*
     f[a[1]*b[2]*c[3]])/1594323 + 
  (778240*f[a[1]^2*b[2]*c[1]]*f[a[1]*b[2]*c[2]]*f[a[1]*b[2]*c[3]])/
   1594323 + (13983334400*f[b[4]*c[1]]*f[a[1]*b[2]*c[2]]*
     f[a[1]*b[2]*c[3]])/31381059609 + 
  (56913920*f[b[1]*c[2]]*f[a[1]*b[2]*c[2]]*f[a[1]*b[2]*c[3]])/
   387420489 + (56913920*f[a[1]^2*b[1]*c[2]]*f[a[1]*b[2]*c[2]]*
     f[a[1]*b[2]*c[3]])/387420489 - 
  (161251328*f[a[2]]*f[a[1]^2*b[2]*c[2]]*f[a[1]*b[2]*c[3]])/387420489 - 
  (475037696*f[a[1]^2*a[2]]*f[a[1]^2*b[2]*c[2]]*f[a[1]*b[2]*c[3]])/
   3486784401 + (18282414080*f[a[1]^4*a[2]]*f[a[1]^2*b[2]*c[2]]*
     f[a[1]*b[2]*c[3]])/94143178827 + 
  (23124312064*f[a[2]^3]*f[a[1]^2*b[2]*c[2]]*f[a[1]*b[2]*c[3]])/
   94143178827 - (976224256*f[a[1]*a[2]*a[3]]*f[a[1]^2*b[2]*c[2]]*
     f[a[1]*b[2]*c[3]])/31381059609 + 
  (645005312*f[a[4]]*f[a[1]^2*b[2]*c[2]]*f[a[1]*b[2]*c[3]])/
   3486784401 + (1900150784*f[a[1]^2*a[4]]*f[a[1]^2*b[2]*c[2]]*
     f[a[1]*b[2]*c[3]])/31381059609 - 
  (4031283200*f[a[6]]*f[a[1]^2*b[2]*c[2]]*f[a[1]*b[2]*c[3]])/
   31381059609 - (2699444224*f[a[2]*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]]*
     f[a[1]*b[2]*c[3]])/31381059609 - 
  (7952416768*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]]*
     f[a[1]*b[2]*c[3]])/282429536481 + 
  (10797776896*f[a[4]*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]]*
     f[a[1]*b[2]*c[3]])/282429536481 + 
  (778240*f[a[1]*b[2]*c[1]]*f[a[1]^2*b[2]*c[2]]*f[a[1]*b[2]*c[3]])/
   1594323 + (293396480*f[a[1]^3*b[2]*c[1]]*f[a[1]^2*b[2]*c[2]]*
     f[a[1]*b[2]*c[3]])/387420489 - 
  (778240*f[a[3]*b[2]*c[1]]*f[a[1]^2*b[2]*c[2]]*f[a[1]*b[2]*c[3]])/
   14348907 - (162709258240*f[a[2]*b[3]*c[1]]*f[a[1]^2*b[2]*c[2]]*
     f[a[1]*b[2]*c[3]])/847288609443 + 
  (13983334400*f[a[1]*b[4]*c[1]]*f[a[1]^2*b[2]*c[2]]*
     f[a[1]*b[2]*c[3]])/31381059609 + 
  (56913920*f[a[1]*b[1]*c[2]]*f[a[1]^2*b[2]*c[2]]*f[a[1]*b[2]*c[3]])/
   387420489 + (21456547840*f[a[1]^3*b[1]*c[2]]*f[a[1]^2*b[2]*c[2]]*
     f[a[1]*b[2]*c[3]])/94143178827 - 
  (56913920*f[a[3]*b[1]*c[2]]*f[a[1]^2*b[2]*c[2]]*f[a[1]*b[2]*c[3]])/
   3486784401 - (4358144*f[1]*f[a[2]*b[2]*c[2]]*f[a[1]*b[2]*c[3]])/
   14348907 + (161251328*f[a[1]^2]*f[a[2]*b[2]*c[2]]*
     f[a[1]*b[2]*c[3]])/387420489 - 
  (501186560*f[a[1]^4]*f[a[2]*b[2]*c[2]]*f[a[1]*b[2]*c[3]])/
   1162261467 + (55021568000*f[a[1]^6]*f[a[2]*b[2]*c[2]]*
     f[a[1]*b[2]*c[3]])/94143178827 - 
  (2344681472*f[a[2]^2]*f[a[2]*b[2]*c[2]]*f[a[1]*b[2]*c[3]])/
   3486784401 + (5116461056*f[a[1]^2*a[2]^2]*f[a[2]*b[2]*c[2]]*
     f[a[1]*b[2]*c[3]])/31381059609 + 
  (278921216*f[a[1]*a[3]]*f[a[2]*b[2]*c[2]]*f[a[1]*b[2]*c[3]])/
   1162261467 + (278921216*f[a[1]^3*a[3]]*f[a[2]*b[2]*c[2]]*
     f[a[1]*b[2]*c[3]])/31381059609 - 
  (2383904768*f[a[3]^2]*f[a[2]*b[2]*c[2]]*f[a[1]*b[2]*c[3]])/
   94143178827 + (17850957824*f[a[2]*a[4]]*f[a[2]*b[2]*c[2]]*
     f[a[1]*b[2]*c[3]])/94143178827 - 
  (6973030400*f[a[1]*a[5]]*f[a[2]*b[2]*c[2]]*f[a[1]*b[2]*c[3]])/
   94143178827 - (72957952*f[b[1]*c[1]]*f[a[2]*b[2]*c[2]]*
     f[a[1]*b[2]*c[3]])/1162261467 + 
  (2699444224*f[a[1]^2*b[1]*c[1]]*f[a[2]*b[2]*c[2]]*f[a[1]*b[2]*c[3]])/
   31381059609 - (8390164480*f[a[1]^4*b[1]*c[1]]*f[a[2]*b[2]*c[2]]*
     f[a[1]*b[2]*c[3]])/94143178827 - 
  (39251378176*f[a[2]^2*b[1]*c[1]]*f[a[2]*b[2]*c[2]]*
     f[a[1]*b[2]*c[3]])/282429536481 + 
  (4669308928*f[a[1]*a[3]*b[1]*c[1]]*f[a[2]*b[2]*c[2]]*
     f[a[1]*b[2]*c[3]])/94143178827 - 
  (398458880*f[a[1]*a[2]*b[2]*c[1]]*f[a[2]*b[2]*c[2]]*
     f[a[1]*b[2]*c[3]])/1162261467 - 
  (4397547520*f[b[3]*c[1]]*f[a[2]*b[2]*c[2]]*f[a[1]*b[2]*c[3]])/
   31381059609 + (162709258240*f[a[1]^2*b[3]*c[1]]*f[a[2]*b[2]*c[2]]*
     f[a[1]*b[2]*c[3]])/847288609443 - 
  (52782776320*f[b[5]*c[1]]*f[a[2]*b[2]*c[2]]*f[a[1]*b[2]*c[3]])/
   282429536481 - (29139927040*f[a[1]*a[2]*b[1]*c[2]]*f[a[2]*b[2]*c[2]]*
     f[a[1]*b[2]*c[3]])/282429536481 - 
  (31510528*f[a[1]]*f[b[3]*c[2]]*f[a[1]*b[2]*c[3]])/43046721 + 
  (157552640*f[a[1]^3]*f[b[3]*c[2]]*f[a[1]*b[2]*c[3]])/387420489 - 
  (3938816000*f[a[1]^5]*f[b[3]*c[2]]*f[a[1]*b[2]*c[3]])/10460353203 - 
  (819273728*f[a[1]*a[2]^2]*f[b[3]*c[2]]*f[a[1]*b[2]*c[3]])/
   10460353203 + (31510528*f[a[3]]*f[b[3]*c[2]]*f[a[1]*b[2]*c[3]])/
   387420489 - (724742144*f[a[1]^2*a[3]]*f[b[3]*c[2]]*
     f[a[1]*b[2]*c[3]])/3486784401 - 
  (2048184320*f[a[5]]*f[b[3]*c[2]]*f[a[1]*b[2]*c[3]])/31381059609 - 
  (87937024*f[a[1]*b[1]*c[1]]*f[b[3]*c[2]]*f[a[1]*b[2]*c[3]])/
   3486784401 + (439685120*f[a[1]^3*b[1]*c[1]]*f[b[3]*c[2]]*
     f[a[1]*b[2]*c[3]])/31381059609 + 
  (87937024*f[a[3]*b[1]*c[1]]*f[b[3]*c[2]]*f[a[1]*b[2]*c[3]])/
   31381059609 - (8514437120*f[a[2]*b[2]*c[1]]*f[b[3]*c[2]]*
     f[a[1]*b[2]*c[3]])/31381059609 + 
  (7202406400*f[a[1]*b[3]*c[1]]*f[b[3]*c[2]]*f[a[1]*b[2]*c[3]])/
   10460353203 - (4257218560*f[a[2]*b[1]*c[2]]*f[b[3]*c[2]]*
     f[a[1]*b[2]*c[3]])/31381059609 - 
  (1473654784*f[a[1]*b[2]*c[2]]*f[b[3]*c[2]]*f[a[1]*b[2]*c[3]])/
   3486784401 - (31510528*f[1]*f[a[1]*b[3]*c[2]]*f[a[1]*b[2]*c[3]])/
   43046721 - (31510528*f[a[1]^2]*f[a[1]*b[3]*c[2]]*f[a[1]*b[2]*c[3]])/
   43046721 + (9295605760*f[a[1]^4]*f[a[1]*b[3]*c[2]]*
     f[a[1]*b[2]*c[3]])/10460353203 - 
  (358432256000*f[a[1]^6]*f[a[1]*b[3]*c[2]]*f[a[1]*b[2]*c[3]])/
   282429536481 + (13675569152*f[a[2]^2]*f[a[1]*b[3]*c[2]]*
     f[a[1]*b[2]*c[3]])/31381059609 - 
  (147028123648*f[a[1]^2*a[2]^2]*f[a[1]*b[3]*c[2]]*f[a[1]*b[2]*c[3]])/
   847288609443 - (32266780672*f[a[1]^3*a[3]]*f[a[1]*b[3]*c[2]]*
     f[a[1]*b[2]*c[3]])/94143178827 + 
  (25113890816*f[a[3]^2]*f[a[1]*b[3]*c[2]]*f[a[1]*b[2]*c[3]])/
   282429536481 - (129067122688*f[a[2]*a[4]]*f[a[1]*b[3]*c[2]]*
     f[a[1]*b[2]*c[3]])/847288609443 - 
  (87937024*f[b[1]*c[1]]*f[a[1]*b[3]*c[2]]*f[a[1]*b[2]*c[3]])/
   3486784401 - (87937024*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[3]*c[2]]*
     f[a[1]*b[2]*c[3]])/3486784401 + 
  (25941422080*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[3]*c[2]]*
     f[a[1]*b[2]*c[3]])/847288609443 + 
  (38164668416*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[3]*c[2]]*
     f[a[1]*b[2]*c[3]])/2541865828329 + 
  (7202406400*f[b[3]*c[1]]*f[a[1]*b[3]*c[2]]*f[a[1]*b[2]*c[3]])/
   10460353203 + (7202406400*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[3]*c[2]]*
     f[a[1]*b[2]*c[3]])/10460353203 - 
  (283609661440*f[b[5]*c[1]]*f[a[1]*b[3]*c[2]]*f[a[1]*b[2]*c[3]])/
   847288609443 - (1473654784*f[b[2]*c[2]]*f[a[1]*b[3]*c[2]]*
     f[a[1]*b[2]*c[3]])/3486784401 - 
  (1473654784*f[a[1]^2*b[2]*c[2]]*f[a[1]*b[3]*c[2]]*f[a[1]*b[2]*c[3]])/
   3486784401 + (190382080*f[a[2]]*f[b[4]*c[2]]*f[a[1]*b[2]*c[3]])/
   387420489 - (951910400*f[a[1]^2*a[2]]*f[b[4]*c[2]]*
     f[a[1]*b[2]*c[3]])/10460353203 + 
  (4759552000*f[a[1]^4*a[2]]*f[b[4]*c[2]]*f[a[1]*b[2]*c[3]])/
   94143178827 + (4949934080*f[a[2]^3]*f[b[4]*c[2]]*f[a[1]*b[2]*c[3]])/
   31381059609 + (6092226560*f[a[1]*a[2]*a[3]]*f[b[4]*c[2]]*
     f[a[1]*b[2]*c[3]])/94143178827 - 
  (761528320*f[a[4]]*f[b[4]*c[2]]*f[a[1]*b[2]*c[3]])/3486784401 + 
  (3807641600*f[a[1]^2*a[4]]*f[b[4]*c[2]]*f[a[1]*b[2]*c[3]])/
   94143178827 + (4759552000*f[a[6]]*f[b[4]*c[2]]*f[a[1]*b[2]*c[3]])/
   31381059609 - (272957440*f[a[2]*b[1]*c[1]]*f[b[4]*c[2]]*
     f[a[1]*b[2]*c[3]])/94143178827 + 
  (1364787200*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[4]*c[2]]*f[a[1]*b[2]*c[3]])/
   2541865828329 + (1091829760*f[a[4]*b[1]*c[1]]*f[b[4]*c[2]]*
     f[a[1]*b[2]*c[3]])/847288609443 + 
  (6098518016*f[a[1]*b[2]*c[1]]*f[b[4]*c[2]]*f[a[1]*b[2]*c[3]])/
   31381059609 - (30492590080*f[a[1]^3*b[2]*c[1]]*f[b[4]*c[2]]*
     f[a[1]*b[2]*c[3]])/282429536481 - 
  (6098518016*f[a[3]*b[2]*c[1]]*f[b[4]*c[2]]*f[a[1]*b[2]*c[3]])/
   282429536481 - (1585266556928*f[a[2]*b[3]*c[1]]*f[b[4]*c[2]]*
     f[a[1]*b[2]*c[3]])/2541865828329 - 
  (205395066880*f[a[1]*b[4]*c[1]]*f[b[4]*c[2]]*f[a[1]*b[2]*c[3]])/
   847288609443 + (2018508800*f[a[1]*b[1]*c[2]]*f[b[4]*c[2]]*
     f[a[1]*b[2]*c[3]])/10460353203 - 
  (10092544000*f[a[1]^3*b[1]*c[2]]*f[b[4]*c[2]]*f[a[1]*b[2]*c[3]])/
   94143178827 - (2018508800*f[a[3]*b[1]*c[2]]*f[b[4]*c[2]]*
     f[a[1]*b[2]*c[3]])/94143178827 + 
  (14219018240*f[a[2]*b[2]*c[2]]*f[b[4]*c[2]]*f[a[1]*b[2]*c[3]])/
   94143178827 - (90319093760*f[a[1]*b[3]*c[2]]*f[b[4]*c[2]]*
     f[a[1]*b[2]*c[3]])/282429536481 + 
  (136036352*f[a[2]]*f[b[1]*b[2]*c[1]*c[2]]*f[a[1]*b[2]*c[3]])/
   1162261467 - (680181760*f[a[1]^2*a[2]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[1]*b[2]*c[3]])/31381059609 + 
  (3400908800*f[a[1]^4*a[2]]*f[b[1]*b[2]*c[1]*c[2]]*f[a[1]*b[2]*c[3]])/
   282429536481 + (3536945152*f[a[2]^3]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[1]*b[2]*c[3]])/94143178827 + 
  (4353163264*f[a[1]*a[2]*a[3]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[1]*b[2]*c[3]])/282429536481 - 
  (544145408*f[a[4]]*f[b[1]*b[2]*c[1]*c[2]]*f[a[1]*b[2]*c[3]])/
   10460353203 + (2720727040*f[a[1]^2*a[4]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[1]*b[2]*c[3]])/282429536481 + 
  (3400908800*f[a[6]]*f[b[1]*b[2]*c[1]*c[2]]*f[a[1]*b[2]*c[3]])/
   94143178827 - (5759664128*f[a[2]*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[1]*b[2]*c[3]])/94143178827 + 
  (28798320640*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[1]*b[2]*c[3]])/2541865828329 + 
  (23038656512*f[a[4]*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[1]*b[2]*c[3]])/847288609443 + 
  (52551680*f[a[1]*b[2]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[1]*b[2]*c[3]])/129140163 - 
  (262758400*f[a[1]^3*b[2]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[1]*b[2]*c[3]])/1162261467 - 
  (52551680*f[a[3]*b[2]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[1]*b[2]*c[3]])/1162261467 - 
  (1358479360*f[a[2]*b[3]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[1]*b[2]*c[3]])/282429536481 + 
  (381328605184*f[a[1]*b[4]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[1]*b[2]*c[3]])/2541865828329 - 
  (1113886720*f[a[1]*b[1]*c[2]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[1]*b[2]*c[3]])/31381059609 + 
  (5569433600*f[a[1]^3*b[1]*c[2]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[1]*b[2]*c[3]])/282429536481 + 
  (1113886720*f[a[3]*b[1]*c[2]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[1]*b[2]*c[3]])/282429536481 - 
  (162611200*f[a[2]*b[2]*c[2]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[1]*b[2]*c[3]])/1162261467 - 
  (84233916416*f[a[1]*b[3]*c[2]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[1]*b[2]*c[3]])/847288609443 - 
  (1556480*f[a[2]]*f[b[1]*c[3]]*f[a[1]*b[2]*c[3]])/43046721 + 
  (7782400*f[a[1]^2*a[2]]*f[b[1]*c[3]]*f[a[1]*b[2]*c[3]])/1162261467 - 
  (38912000*f[a[1]^4*a[2]]*f[b[1]*c[3]]*f[a[1]*b[2]*c[3]])/
   10460353203 - (40468480*f[a[2]^3]*f[b[1]*c[3]]*f[a[1]*b[2]*c[3]])/
   3486784401 - (49807360*f[a[1]*a[2]*a[3]]*f[b[1]*c[3]]*
     f[a[1]*b[2]*c[3]])/10460353203 + 
  (6225920*f[a[4]]*f[b[1]*c[3]]*f[a[1]*b[2]*c[3]])/387420489 - 
  (31129600*f[a[1]^2*a[4]]*f[b[1]*c[3]]*f[a[1]*b[2]*c[3]])/
   10460353203 - (38912000*f[a[6]]*f[b[1]*c[3]]*f[a[1]*b[2]*c[3]])/
   3486784401 - (21053440*f[a[2]*b[1]*c[1]]*f[b[1]*c[3]]*
     f[a[1]*b[2]*c[3]])/1162261467 + 
  (105267200*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[1]*c[3]]*f[a[1]*b[2]*c[3]])/
   31381059609 + (84213760*f[a[4]*b[1]*c[1]]*f[b[1]*c[3]]*
     f[a[1]*b[2]*c[3]])/10460353203 + 
  (39845888*f[a[1]*b[2]*c[1]]*f[b[1]*c[3]]*f[a[1]*b[2]*c[3]])/
   1162261467 - (199229440*f[a[1]^3*b[2]*c[1]]*f[b[1]*c[3]]*
     f[a[1]*b[2]*c[3]])/10460353203 - 
  (39845888*f[a[3]*b[2]*c[1]]*f[b[1]*c[3]]*f[a[1]*b[2]*c[3]])/
   10460353203 - (54525952*f[a[2]*b[3]*c[1]]*f[b[1]*c[3]]*
     f[a[1]*b[2]*c[3]])/3486784401 + 
  (1740636160*f[a[1]*b[4]*c[1]]*f[b[1]*c[3]]*f[a[1]*b[2]*c[3]])/
   31381059609 + (32768000*f[a[1]*b[1]*c[2]]*f[b[1]*c[3]]*
     f[a[1]*b[2]*c[3]])/1162261467 - 
  (163840000*f[a[1]^3*b[1]*c[2]]*f[b[1]*c[3]]*f[a[1]*b[2]*c[3]])/
   10460353203 - (32768000*f[a[3]*b[1]*c[2]]*f[b[1]*c[3]]*
     f[a[1]*b[2]*c[3]])/10460353203 - 
  (617922560*f[a[2]*b[2]*c[2]]*f[b[1]*c[3]]*f[a[1]*b[2]*c[3]])/
   10460353203 - (7202406400*f[a[1]*b[3]*c[2]]*f[b[1]*c[3]]*
     f[a[1]*b[2]*c[3]])/31381059609 + 
  (39845888*f[b[2]*c[1]]*f[a[1]*b[1]*c[3]]*f[a[1]*b[2]*c[3]])/
   1162261467 + (39845888*f[a[1]^2*b[2]*c[1]]*f[a[1]*b[1]*c[3]]*
     f[a[1]*b[2]*c[3]])/1162261467 + 
  (1740636160*f[b[4]*c[1]]*f[a[1]*b[1]*c[3]]*f[a[1]*b[2]*c[3]])/
   31381059609 + (32768000*f[b[1]*c[2]]*f[a[1]*b[1]*c[3]]*
     f[a[1]*b[2]*c[3]])/1162261467 + 
  (32768000*f[a[1]^2*b[1]*c[2]]*f[a[1]*b[1]*c[3]]*f[a[1]*b[2]*c[3]])/
   1162261467 - (7202406400*f[b[3]*c[2]]*f[a[1]*b[1]*c[3]]*
     f[a[1]*b[2]*c[3]])/31381059609 + 
  (57589760*f[a[2]]*f[a[1]^2*b[1]*c[3]]*f[a[1]*b[2]*c[3]])/1162261467 + 
  (169656320*f[a[1]^2*a[2]]*f[a[1]^2*b[1]*c[3]]*f[a[1]*b[2]*c[3]])/
   10460353203 - (6529433600*f[a[1]^4*a[2]]*f[a[1]^2*b[1]*c[3]]*
     f[a[1]*b[2]*c[3]])/282429536481 - 
  (8258682880*f[a[2]^3]*f[a[1]^2*b[1]*c[3]]*f[a[1]*b[2]*c[3]])/
   282429536481 + (348651520*f[a[1]*a[2]*a[3]]*f[a[1]^2*b[1]*c[3]]*
     f[a[1]*b[2]*c[3]])/94143178827 - 
  (230359040*f[a[4]]*f[a[1]^2*b[1]*c[3]]*f[a[1]*b[2]*c[3]])/
   10460353203 - (678625280*f[a[1]^2*a[4]]*f[a[1]^2*b[1]*c[3]]*
     f[a[1]*b[2]*c[3]])/94143178827 + 
  (1439744000*f[a[6]]*f[a[1]^2*b[1]*c[3]]*f[a[1]*b[2]*c[3]])/
   94143178827 + (778977280*f[a[2]*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]]*
     f[a[1]*b[2]*c[3]])/31381059609 + 
  (2294824960*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]]*
     f[a[1]*b[2]*c[3]])/282429536481 - 
  (3115909120*f[a[4]*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]]*f[a[1]*b[2]*c[3]])/
   282429536481 + (39845888*f[a[1]*b[2]*c[1]]*f[a[1]^2*b[1]*c[3]]*
     f[a[1]*b[2]*c[3]])/1162261467 + 
  (15021899776*f[a[1]^3*b[2]*c[1]]*f[a[1]^2*b[1]*c[3]]*
     f[a[1]*b[2]*c[3]])/282429536481 - 
  (39845888*f[a[3]*b[2]*c[1]]*f[a[1]^2*b[1]*c[3]]*f[a[1]*b[2]*c[3]])/
   10460353203 + (2017460224*f[a[2]*b[3]*c[1]]*f[a[1]^2*b[1]*c[3]]*
     f[a[1]*b[2]*c[3]])/94143178827 + 
  (1740636160*f[a[1]*b[4]*c[1]]*f[a[1]^2*b[1]*c[3]]*f[a[1]*b[2]*c[3]])/
   31381059609 + (32768000*f[a[1]*b[1]*c[2]]*f[a[1]^2*b[1]*c[3]]*
     f[a[1]*b[2]*c[3]])/1162261467 + 
  (12353536000*f[a[1]^3*b[1]*c[2]]*f[a[1]^2*b[1]*c[3]]*
     f[a[1]*b[2]*c[3]])/282429536481 - 
  (32768000*f[a[3]*b[1]*c[2]]*f[a[1]^2*b[1]*c[3]]*f[a[1]*b[2]*c[3]])/
   10460353203 + (22863134720*f[a[2]*b[2]*c[2]]*f[a[1]^2*b[1]*c[3]]*
     f[a[1]*b[2]*c[3]])/282429536481 - 
  (7202406400*f[a[1]*b[3]*c[2]]*f[a[1]^2*b[1]*c[3]]*f[a[1]*b[2]*c[3]])/
   31381059609 + (1556480*f[1]*f[a[2]*b[1]*c[3]]*f[a[1]*b[2]*c[3]])/
   43046721 - (57589760*f[a[1]^2]*f[a[2]*b[1]*c[3]]*f[a[1]*b[2]*c[3]])/
   1162261467 + (178995200*f[a[1]^4]*f[a[2]*b[1]*c[3]]*
     f[a[1]*b[2]*c[3]])/3486784401 - 
  (19650560000*f[a[1]^6]*f[a[2]*b[1]*c[3]]*f[a[1]*b[2]*c[3]])/
   282429536481 + (837386240*f[a[2]^2]*f[a[2]*b[1]*c[3]]*
     f[a[1]*b[2]*c[3]])/10460353203 - 
  (1827307520*f[a[1]^2*a[2]^2]*f[a[2]*b[1]*c[3]]*f[a[1]*b[2]*c[3]])/
   94143178827 - (99614720*f[a[1]*a[3]]*f[a[2]*b[1]*c[3]]*
     f[a[1]*b[2]*c[3]])/3486784401 - 
  (99614720*f[a[1]^3*a[3]]*f[a[2]*b[1]*c[3]]*f[a[1]*b[2]*c[3]])/
   94143178827 + (851394560*f[a[3]^2]*f[a[2]*b[1]*c[3]]*
     f[a[1]*b[2]*c[3]])/282429536481 - 
  (6375342080*f[a[2]*a[4]]*f[a[2]*b[1]*c[3]]*f[a[1]*b[2]*c[3]])/
   282429536481 + (2490368000*f[a[1]*a[5]]*f[a[2]*b[1]*c[3]]*
     f[a[1]*b[2]*c[3]])/282429536481 + 
  (21053440*f[b[1]*c[1]]*f[a[2]*b[1]*c[3]]*f[a[1]*b[2]*c[3]])/
   1162261467 - (778977280*f[a[1]^2*b[1]*c[1]]*f[a[2]*b[1]*c[3]]*
     f[a[1]*b[2]*c[3]])/31381059609 + 
  (2421145600*f[a[1]^4*b[1]*c[1]]*f[a[2]*b[1]*c[3]]*f[a[1]*b[2]*c[3]])/
   94143178827 + (11326750720*f[a[2]^2*b[1]*c[1]]*f[a[2]*b[1]*c[3]]*
     f[a[1]*b[2]*c[3]])/282429536481 - 
  (1347420160*f[a[1]*a[3]*b[1]*c[1]]*f[a[2]*b[1]*c[3]]*
     f[a[1]*b[2]*c[3]])/94143178827 - 
  (20401094656*f[a[1]*a[2]*b[2]*c[1]]*f[a[2]*b[1]*c[3]]*
     f[a[1]*b[2]*c[3]])/847288609443 + 
  (54525952*f[b[3]*c[1]]*f[a[2]*b[1]*c[3]]*f[a[1]*b[2]*c[3]])/
   3486784401 - (2017460224*f[a[1]^2*b[3]*c[1]]*f[a[2]*b[1]*c[3]]*
     f[a[1]*b[2]*c[3]])/94143178827 + 
  (11471421440*f[b[5]*c[1]]*f[a[2]*b[1]*c[3]]*f[a[1]*b[2]*c[3]])/
   847288609443 - (16777216000*f[a[1]*a[2]*b[1]*c[2]]*f[a[2]*b[1]*c[3]]*
     f[a[1]*b[2]*c[3]])/847288609443 + 
  (617922560*f[b[2]*c[2]]*f[a[2]*b[1]*c[3]]*f[a[1]*b[2]*c[3]])/
   10460353203 - (22863134720*f[a[1]^2*b[2]*c[2]]*f[a[2]*b[1]*c[3]]*
     f[a[1]*b[2]*c[3]])/282429536481 + 
  (87346380800*f[b[4]*c[2]]*f[a[2]*b[1]*c[3]]*f[a[1]*b[2]*c[3]])/
   847288609443 + (38496419840*f[b[1]*b[2]*c[1]*c[2]]*f[a[2]*b[1]*c[3]]*
     f[a[1]*b[2]*c[3]])/847288609443 + 
  (2957312*f[a[1]]*f[b[2]*c[3]]*f[a[1]*b[2]*c[3]])/14348907 - 
  (14786560*f[a[1]^3]*f[b[2]*c[3]]*f[a[1]*b[2]*c[3]])/129140163 + 
  (369664000*f[a[1]^5]*f[b[2]*c[3]]*f[a[1]*b[2]*c[3]])/3486784401 + 
  (76890112*f[a[1]*a[2]^2]*f[b[2]*c[3]]*f[a[1]*b[2]*c[3]])/3486784401 - 
  (2957312*f[a[3]]*f[b[2]*c[3]]*f[a[1]*b[2]*c[3]])/129140163 + 
  (68018176*f[a[1]^2*a[3]]*f[b[2]*c[3]]*f[a[1]*b[2]*c[3]])/1162261467 + 
  (192225280*f[a[5]]*f[b[2]*c[3]]*f[a[1]*b[2]*c[3]])/10460353203 + 
  (159850496*f[a[1]*b[1]*c[1]]*f[b[2]*c[3]]*f[a[1]*b[2]*c[3]])/
   1162261467 - (799252480*f[a[1]^3*b[1]*c[1]]*f[b[2]*c[3]]*
     f[a[1]*b[2]*c[3]])/10460353203 - 
  (159850496*f[a[3]*b[1]*c[1]]*f[b[2]*c[3]]*f[a[1]*b[2]*c[3]])/
   10460353203 + (11555307520*f[a[1]*b[3]*c[1]]*f[b[2]*c[3]]*
     f[a[1]*b[2]*c[3]])/31381059609 - 
  (2957312*f[a[1]*b[2]*c[2]]*f[b[2]*c[3]]*f[a[1]*b[2]*c[3]])/14348907 + 
  (1478656*f[1]*f[a[1]*b[2]*c[3]]^2)/14348907 + 
  (1478656*f[a[1]^2]*f[a[1]*b[2]*c[3]]^2)/14348907 - 
  (436203520*f[a[1]^4]*f[a[1]*b[2]*c[3]]^2)/3486784401 + 
  (16819712000*f[a[1]^6]*f[a[1]*b[2]*c[3]]^2)/94143178827 - 
  (641736704*f[a[2]^2]*f[a[1]*b[2]*c[3]]^2)/10460353203 + 
  (6899408896*f[a[1]^2*a[2]^2]*f[a[1]*b[2]*c[3]]^2)/282429536481 + 
  (1514143744*f[a[1]^3*a[3]]*f[a[1]*b[2]*c[3]]^2)/31381059609 - 
  (1178488832*f[a[3]^2]*f[a[1]*b[2]*c[3]]^2)/94143178827 + 
  (6056574976*f[a[2]*a[4]]*f[a[1]*b[2]*c[3]]^2)/282429536481 + 
  (79925248*f[b[1]*c[1]]*f[a[1]*b[2]*c[3]]^2)/1162261467 + 
  (79925248*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[2]*c[3]]^2)/1162261467 - 
  (23577948160*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[2]*c[3]]^2)/282429536481 - 
  (34687557632*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[2]*c[3]]^2)/847288609443 + 
  (5777653760*f[b[3]*c[1]]*f[a[1]*b[2]*c[3]]^2)/31381059609 + 
  (5777653760*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[2]*c[3]]^2)/31381059609 + 
  (15340666880*f[b[5]*c[1]]*f[a[1]*b[2]*c[3]]^2)/282429536481 - 
  (1478656*f[b[2]*c[2]]*f[a[1]*b[2]*c[3]]^2)/14348907 - 
  (1478656*f[a[1]^2*b[2]*c[2]]*f[a[1]*b[2]*c[3]]^2)/14348907 - 
  (41041264640*f[b[4]*c[2]]*f[a[1]*b[2]*c[3]]^2)/282429536481 - 
  (79925248*f[b[1]*b[2]*c[1]*c[2]]*f[a[1]*b[2]*c[3]]^2)/1162261467 + 
  (2099*f[1]^2*f[b[3]*c[3]])/6561 + 
  (33584*f[a[1]]^2*f[b[3]*c[3]])/177147 - 
  (20990*f[1]*f[a[1]^2]*f[b[3]*c[3]])/177147 + 
  (375721*f[a[1]^2]^2*f[b[3]*c[3]])/1594323 - 
  (335840*f[a[1]]*f[a[1]^3]*f[b[3]*c[3]])/1594323 + 
  (19713808*f[a[1]^3]^2*f[b[3]*c[3]])/43046721 + 
  (104950*f[1]*f[a[1]^4]*f[b[3]*c[3]])/1594323 - 
  (22018510*f[a[1]^2]*f[a[1]^4]*f[b[3]*c[3]])/43046721 + 
  (1426822537*f[a[1]^4]^2*f[b[3]*c[3]])/1162261467 + 
  (8396000*f[a[1]]*f[a[1]^5]*f[b[3]*c[3]])/43046721 - 
  (1845440800*f[a[1]^3]*f[a[1]^5]*f[b[3]*c[3]])/1162261467 + 
  (44200070320*f[a[1]^5]^2*f[b[3]*c[3]])/10460353203 - 
  (2623750*f[1]*f[a[1]^6]*f[b[3]*c[3]])/43046721 + 
  (819134750*f[a[1]^2]*f[a[1]^6]*f[b[3]*c[3]])/1162261467 - 
  (7016642150*f[a[1]^4]*f[a[1]^6]*f[b[3]*c[3]])/1162261467 + 
  (1677526330865*f[a[1]^6]^2*f[b[3]*c[3]])/94143178827 - 
  (537344*f[a[2]]^2*f[b[3]*c[3]])/1594323 - 
  (34390016*f[a[1]*a[2]]^2*f[b[3]*c[3]])/129140163 + 
  (5373440*f[a[2]]*f[a[1]^2*a[2]]*f[b[3]*c[3]])/43046721 - 
  (1415901440*f[a[1]^2*a[2]]^2*f[b[3]*c[3]])/3486784401 + 
  (343900160*f[a[1]*a[2]]*f[a[1]^3*a[2]]*f[b[3]*c[3]])/1162261467 - 
  (9663594496*f[a[1]^3*a[2]]^2*f[b[3]*c[3]])/10460353203 - 
  (26867200*f[a[2]]*f[a[1]^4*a[2]]*f[b[3]*c[3]])/387420489 + 
  (27915020800*f[a[1]^2*a[2]]*f[a[1]^4*a[2]]*f[b[3]*c[3]])/
   31381059609 - (2387763829504*f[a[1]^4*a[2]]^2*f[b[3]*c[3]])/
   847288609443 + (109148*f[1]*f[a[2]^2]*f[b[3]*c[3]])/1594323 + 
  (32752796*f[a[1]^2]*f[a[2]^2]*f[b[3]*c[3]])/129140163 - 
  (335714060*f[a[1]^4]*f[a[2]^2]*f[b[3]*c[3]])/1162261467 + 
  (4230534500*f[a[1]^6]*f[a[2]^2]*f[b[3]*c[3]])/10460353203 + 
  (92179684*f[a[2]^2]^2*f[b[3]*c[3]])/129140163 + 
  (1746368*f[a[1]]*f[a[1]*a[2]^2]*f[b[3]*c[3]])/43046721 + 
  (524044736*f[a[1]^3]*f[a[1]*a[2]^2]*f[b[3]*c[3]])/1162261467 - 
  (26857124800*f[a[1]^5]*f[a[1]*a[2]^2]*f[b[3]*c[3]])/31381059609 + 
  (22077718592*f[a[1]*a[2]^2]^2*f[b[3]*c[3]])/31381059609 - 
  (545740*f[1]*f[a[1]^2*a[2]^2]*f[b[3]*c[3]])/43046721 + 
  (3887348*f[a[1]^2]*f[a[1]^2*a[2]^2]*f[b[3]*c[3]])/3486784401 + 
  (3913048156*f[a[1]^4]*f[a[1]^2*a[2]^2]*f[b[3]*c[3]])/3486784401 - 
  (293526888700*f[a[1]^6]*f[a[1]^2*a[2]^2]*f[b[3]*c[3]])/94143178827 - 
  (7402031144*f[a[2]^2]*f[a[1]^2*a[2]^2]*f[b[3]*c[3]])/31381059609 + 
  (3154300704044*f[a[1]^2*a[2]^2]^2*f[b[3]*c[3]])/2541865828329 - 
  (27941888*f[a[2]]*f[a[2]^3]*f[b[3]*c[3]])/129140163 - 
  (8384715776*f[a[1]^2*a[2]]*f[a[2]^3]*f[b[3]*c[3]])/10460353203 + 
  (85942799360*f[a[1]^4*a[2]]*f[a[2]^3]*f[b[3]*c[3]])/94143178827 - 
  (71520486400*f[a[2]^3]^2*f[b[3]*c[3]])/31381059609 - 
  (67168*f[a[1]]*f[a[3]]*f[b[3]*c[3]])/1594323 + 
  (335840*f[a[1]^3]*f[a[3]]*f[b[3]*c[3]])/14348907 - 
  (8396000*f[a[1]^5]*f[a[3]]*f[b[3]*c[3]])/387420489 - 
  (1746368*f[a[1]*a[2]^2]*f[a[3]]*f[b[3]*c[3]])/387420489 + 
  (21594512*f[a[3]]^2*f[b[3]*c[3]])/43046721 + 
  (134336*f[1]*f[a[1]*a[3]]*f[b[3]*c[3]])/1594323 - 
  (940352*f[a[1]^2]*f[a[1]*a[3]]*f[b[3]*c[3]])/14348907 + 
  (24852160*f[a[1]^4]*f[a[1]*a[3]]*f[b[3]*c[3]])/387420489 - 
  (889976000*f[a[1]^6]*f[a[1]*a[3]]*f[b[3]*c[3]])/10460353203 + 
  (175442816*f[a[2]^2]*f[a[1]*a[3]]*f[b[3]*c[3]])/387420489 - 
  (933097856*f[a[1]^2*a[2]^2]*f[a[1]*a[3]]*f[b[3]*c[3]])/10460353203 + 
  (353572352*f[a[1]*a[3]]^2*f[b[3]*c[3]])/1162261467 + 
  (1544864*f[a[1]]*f[a[1]^2*a[3]]*f[b[3]*c[3]])/14348907 - 
  (57562976*f[a[1]^3]*f[a[1]^2*a[3]]*f[b[3]*c[3]])/387420489 + 
  (2298824800*f[a[1]^5]*f[a[1]^2*a[3]]*f[b[3]*c[3]])/10460353203 + 
  (16318465600*f[a[1]*a[2]^2]*f[a[1]^2*a[3]]*f[b[3]*c[3]])/
   31381059609 - (228841376*f[a[3]]*f[a[1]^2*a[3]]*f[b[3]*c[3]])/
   1162261467 + (4058861488*f[a[1]^2*a[3]]^2*f[b[3]*c[3]])/10460353203 - 
  (671680*f[1]*f[a[1]^3*a[3]]*f[b[3]*c[3]])/14348907 + 
  (82885312*f[a[1]^2]*f[a[1]^3*a[3]]*f[b[3]*c[3]])/387420489 - 
  (4637144384*f[a[1]^4]*f[a[1]^3*a[3]]*f[b[3]*c[3]])/10460353203 + 
  (9474046400*f[a[1]^6]*f[a[1]^3*a[3]]*f[b[3]*c[3]])/10460353203 - 
  (1531161728*f[a[2]^2]*f[a[1]^3*a[3]]*f[b[3]*c[3]])/10460353203 + 
  (86788847488*f[a[1]^2*a[2]^2]*f[a[1]^3*a[3]]*f[b[3]*c[3]])/
   94143178827 - (3742063616*f[a[1]*a[3]]*f[a[1]^3*a[3]]*f[b[3]*c[3]])/
   10460353203 + (218895675904*f[a[1]^3*a[3]]^2*f[b[3]*c[3]])/
   282429536481 - (68780032*f[a[1]*a[2]]*f[a[2]*a[3]]*f[b[3]*c[3]])/
   387420489 + (343900160*f[a[1]^3*a[2]]*f[a[2]*a[3]]*f[b[3]*c[3]])/
   3486784401 - (7462633472*f[a[2]*a[3]]^2*f[b[3]*c[3]])/10460353203 - 
  (34390016*f[a[2]]*f[a[1]*a[2]*a[3]]*f[b[3]*c[3]])/387420489 - 
  (5536792576*f[a[1]^2*a[2]]*f[a[1]*a[2]*a[3]]*f[b[3]*c[3]])/
   31381059609 + (57947176960*f[a[1]^4*a[2]]*f[a[1]*a[2]*a[3]]*
     f[b[3]*c[3]])/282429536481 - 
  (44913360896*f[a[2]^3]*f[a[1]*a[2]*a[3]]*f[b[3]*c[3]])/31381059609 - 
  (440467324928*f[a[1]*a[2]*a[3]]^2*f[b[3]*c[3]])/847288609443 - 
  (3748814*f[1]*f[a[3]^2]*f[b[3]*c[3]])/43046721 + 
  (25192198*f[a[1]^2]*f[a[3]^2]*f[b[3]*c[3]])/1162261467 - 
  (158201630*f[a[1]^4]*f[a[3]^2]*f[b[3]*c[3]])/10460353203 + 
  (4761056750*f[a[1]^6]*f[a[3]^2]*f[b[3]*c[3]])/282429536481 + 
  (7640284436*f[a[2]^2]*f[a[3]^2]*f[b[3]*c[3]])/10460353203 - 
  (38033770852*f[a[1]^2*a[2]^2]*f[a[3]^2]*f[b[3]*c[3]])/282429536481 - 
  (500670272*f[a[1]*a[3]]*f[a[3]^2]*f[b[3]*c[3]])/3486784401 + 
  (2572131392*f[a[1]^3*a[3]]*f[a[3]^2]*f[b[3]*c[3]])/31381059609 + 
  (148667508121*f[a[3]^2]^2*f[b[3]*c[3]])/94143178827 + 
  (4298752*f[a[2]]*f[a[4]]*f[b[3]*c[3]])/129140163 - 
  (21493760*f[a[1]^2*a[2]]*f[a[4]]*f[b[3]*c[3]])/3486784401 + 
  (107468800*f[a[1]^4*a[2]]*f[a[4]]*f[b[3]*c[3]])/31381059609 + 
  (111767552*f[a[2]^3]*f[a[4]]*f[b[3]*c[3]])/10460353203 + 
  (137560064*f[a[1]*a[2]*a[3]]*f[a[4]]*f[b[3]*c[3]])/31381059609 - 
  (765177856*f[a[4]]^2*f[b[3]*c[3]])/1162261467 + 
  (275120128*f[a[1]*a[2]]*f[a[1]*a[4]]*f[b[3]*c[3]])/3486784401 - 
  (1375600640*f[a[1]^3*a[2]]*f[a[1]*a[4]]*f[b[3]*c[3]])/31381059609 - 
  (10179444736*f[a[2]*a[3]]*f[a[1]*a[4]]*f[b[3]*c[3]])/31381059609 - 
  (12655525888*f[a[1]*a[4]]^2*f[b[3]*c[3]])/31381059609 - 
  (21493760*f[a[2]]*f[a[1]^2*a[4]]*f[b[3]*c[3]])/3486784401 + 
  (1723799552*f[a[1]^2*a[2]]*f[a[1]^2*a[4]]*f[b[3]*c[3]])/10460353203 - 
  (154604615680*f[a[1]^4*a[2]]*f[a[1]^2*a[4]]*f[b[3]*c[3]])/
   847288609443 + (33538863104*f[a[2]^3]*f[a[1]^2*a[4]]*f[b[3]*c[3]])/
   847288609443 - (37003657216*f[a[1]*a[2]*a[3]]*f[a[1]^2*a[4]]*
     f[b[3]*c[3]])/94143178827 + 
  (7651778560*f[a[4]]*f[a[1]^2*a[4]]*f[b[3]*c[3]])/31381059609 - 
  (145770680320*f[a[1]^2*a[4]]^2*f[b[3]*c[3]])/282429536481 - 
  (8597504*f[1]*f[a[2]*a[4]]*f[b[3]*c[3]])/129140163 - 
  (369692672*f[a[1]^2]*f[a[2]*a[4]]*f[b[3]*c[3]])/3486784401 + 
  (3911864320*f[a[1]^4]*f[a[2]*a[4]]*f[b[3]*c[3]])/31381059609 - 
  (149381632000*f[a[1]^6]*f[a[2]*a[4]]*f[b[3]*c[3]])/847288609443 - 
  (808165376*f[a[2]^2]*f[a[2]*a[4]]*f[b[3]*c[3]])/10460353203 + 
  (17195008*f[a[1]^2*a[2]^2]*f[a[2]*a[4]]*f[b[3]*c[3]])/10460353203 + 
  (6740443136*f[a[1]*a[3]]*f[a[2]*a[4]]*f[b[3]*c[3]])/31381059609 - 
  (46907981824*f[a[1]^3*a[3]]*f[a[2]*a[4]]*f[b[3]*c[3]])/282429536481 + 
  (917637394432*f[a[3]^2]*f[a[2]*a[4]]*f[b[3]*c[3]])/847288609443 + 
  (1773974585344*f[a[2]*a[4]]^2*f[b[3]*c[3]])/2541865828329 + 
  (4365920*f[a[1]]*f[a[5]]*f[b[3]*c[3]])/129140163 - 
  (21829600*f[a[1]^3]*f[a[5]]*f[b[3]*c[3]])/1162261467 + 
  (545740000*f[a[1]^5]*f[a[5]]*f[b[3]*c[3]])/31381059609 + 
  (113513920*f[a[1]*a[2]^2]*f[a[5]]*f[b[3]*c[3]])/31381059609 - 
  (15784480*f[a[3]]*f[a[5]]*f[b[3]*c[3]])/387420489 + 
  (516186080*f[a[1]^2*a[3]]*f[a[5]]*f[b[3]*c[3]])/31381059609 + 
  (8582223280*f[a[5]]^2*f[b[3]*c[3]])/10460353203 - 
  (8731840*f[1]*f[a[1]*a[5]]*f[b[3]*c[3]])/129140163 + 
  (61122880*f[a[1]^2]*f[a[1]*a[5]]*f[b[3]*c[3]])/1162261467 - 
  (1615390400*f[a[1]^4]*f[a[1]*a[5]]*f[b[3]*c[3]])/31381059609 + 
  (57848440000*f[a[1]^6]*f[a[1]*a[5]]*f[b[3]*c[3]])/847288609443 - 
  (5901380480*f[a[2]^2]*f[a[1]*a[5]]*f[b[3]*c[3]])/31381059609 + 
  (3682149760*f[a[1]^2*a[2]^2]*f[a[1]*a[5]]*f[b[3]*c[3]])/94143178827 - 
  (1106928640*f[a[1]*a[3]]*f[a[1]*a[5]]*f[b[3]*c[3]])/31381059609 + 
  (10005345280*f[a[1]^3*a[3]]*f[a[1]*a[5]]*f[b[3]*c[3]])/282429536481 + 
  (12343463360*f[a[3]^2]*f[a[1]*a[5]]*f[b[3]*c[3]])/847288609443 + 
  (1168572743680*f[a[2]*a[4]]*f[a[1]*a[5]]*f[b[3]*c[3]])/
   2541865828329 + (1247191544320*f[a[1]*a[5]]^2*f[b[3]*c[3]])/
   2541865828329 - (11821568*f[a[2]]*f[a[6]]*f[b[3]*c[3]])/387420489 + 
  (59107840*f[a[1]^2*a[2]]*f[a[6]]*f[b[3]*c[3]])/10460353203 - 
  (295539200*f[a[1]^4*a[2]]*f[a[6]]*f[b[3]*c[3]])/94143178827 - 
  (307360768*f[a[2]^3]*f[a[6]]*f[b[3]*c[3]])/31381059609 - 
  (378290176*f[a[1]*a[2]*a[3]]*f[a[6]]*f[b[3]*c[3]])/94143178827 + 
  (382588928*f[a[4]]*f[a[6]]*f[b[3]*c[3]])/10460353203 - 
  (1912944640*f[a[1]^2*a[4]]*f[a[6]]*f[b[3]*c[3]])/282429536481 - 
  (276415664384*f[a[6]]^2*f[b[3]*c[3]])/282429536481 + 
  (36578*f[1]*f[b[1]*c[1]]*f[b[3]*c[3]])/177147 - 
  (182890*f[a[1]^2]*f[b[1]*c[1]]*f[b[3]*c[3]])/4782969 + 
  (914450*f[a[1]^4]*f[b[1]*c[1]]*f[b[3]*c[3]])/43046721 - 
  (22861250*f[a[1]^6]*f[b[1]*c[1]]*f[b[3]*c[3]])/1162261467 + 
  (951028*f[a[2]^2]*f[b[1]*c[1]]*f[b[3]*c[3]])/43046721 - 
  (4755140*f[a[1]^2*a[2]^2]*f[b[1]*c[1]]*f[b[3]*c[3]])/1162261467 + 
  (1170496*f[a[1]*a[3]]*f[b[1]*c[1]]*f[b[3]*c[3]])/43046721 - 
  (5852480*f[a[1]^3*a[3]]*f[b[1]*c[1]]*f[b[3]*c[3]])/387420489 - 
  (32664154*f[a[3]^2]*f[b[1]*c[1]]*f[b[3]*c[3]])/1162261467 - 
  (74911744*f[a[2]*a[4]]*f[b[1]*c[1]]*f[b[3]*c[3]])/3486784401 - 
  (76082240*f[a[1]*a[5]]*f[b[1]*c[1]]*f[b[3]*c[3]])/3486784401 + 
  (30281*f[b[1]*c[1]]^2*f[b[3]*c[3]])/1594323 + 
  (585248*f[a[1]]*f[a[1]*b[1]*c[1]]*f[b[3]*c[3]])/4782969 - 
  (2926240*f[a[1]^3]*f[a[1]*b[1]*c[1]]*f[b[3]*c[3]])/43046721 + 
  (73156000*f[a[1]^5]*f[a[1]*b[1]*c[1]]*f[b[3]*c[3]])/1162261467 + 
  (15216448*f[a[1]*a[2]^2]*f[a[1]*b[1]*c[1]]*f[b[3]*c[3]])/1162261467 - 
  (585248*f[a[3]]*f[a[1]*b[1]*c[1]]*f[b[3]*c[3]])/43046721 + 
  (13460704*f[a[1]^2*a[3]]*f[a[1]*b[1]*c[1]]*f[b[3]*c[3]])/387420489 + 
  (38041120*f[a[5]]*f[a[1]*b[1]*c[1]]*f[b[3]*c[3]])/3486784401 + 
  (484496*f[a[1]*b[1]*c[1]]^2*f[b[3]*c[3]])/43046721 - 
  (182890*f[1]*f[a[1]^2*b[1]*c[1]]*f[b[3]*c[3]])/4782969 + 
  (6547462*f[a[1]^2]*f[a[1]^2*b[1]*c[1]]*f[b[3]*c[3]])/43046721 - 
  (191851610*f[a[1]^4]*f[a[1]^2*b[1]*c[1]]*f[b[3]*c[3]])/1162261467 + 
  (7137282250*f[a[1]^6]*f[a[1]^2*b[1]*c[1]]*f[b[3]*c[3]])/31381059609 + 
  (285381556*f[a[2]^2]*f[a[1]^2*b[1]*c[1]]*f[b[3]*c[3]])/3486784401 + 
  (33871228*f[a[1]^2*a[2]^2]*f[a[1]^2*b[1]*c[1]]*f[b[3]*c[3]])/
   94143178827 - (8193472*f[a[1]*a[3]]*f[a[1]^2*b[1]*c[1]]*
     f[b[3]*c[3]])/387420489 + 
  (722196032*f[a[1]^3*a[3]]*f[a[1]^2*b[1]*c[1]]*f[b[3]*c[3]])/
   10460353203 + (219504578*f[a[3]^2]*f[a[1]^2*b[1]*c[1]]*
     f[b[3]*c[3]])/31381059609 - 
  (3221204992*f[a[2]*a[4]]*f[a[1]^2*b[1]*c[1]]*f[b[3]*c[3]])/
   94143178827 + (532575680*f[a[1]*a[5]]*f[a[1]^2*b[1]*c[1]]*
     f[b[3]*c[3]])/31381059609 - 
  (302810*f[b[1]*c[1]]*f[a[1]^2*b[1]*c[1]]*f[b[3]*c[3]])/43046721 + 
  (5420299*f[a[1]^2*b[1]*c[1]]^2*f[b[3]*c[3]])/387420489 - 
  (2926240*f[a[1]]*f[a[1]^3*b[1]*c[1]]*f[b[3]*c[3]])/43046721 + 
  (343540576*f[a[1]^3]*f[a[1]^3*b[1]*c[1]]*f[b[3]*c[3]])/1162261467 - 
  (16079688800*f[a[1]^5]*f[a[1]^3*b[1]*c[1]]*f[b[3]*c[3]])/
   31381059609 + (4566104896*f[a[1]*a[2]^2]*f[a[1]^3*b[1]*c[1]]*
     f[b[3]*c[3]])/31381059609 + 
  (2926240*f[a[3]]*f[a[1]^3*b[1]*c[1]]*f[b[3]*c[3]])/387420489 - 
  (501557536*f[a[1]^2*a[3]]*f[a[1]^3*b[1]*c[1]]*f[b[3]*c[3]])/
   10460353203 - (190205600*f[a[5]]*f[a[1]^3*b[1]*c[1]]*f[b[3]*c[3]])/
   31381059609 - (4844960*f[a[1]*b[1]*c[1]]*f[a[1]^3*b[1]*c[1]]*
     f[b[3]*c[3]])/387420489 + 
  (284399152*f[a[1]^3*b[1]*c[1]]^2*f[b[3]*c[3]])/10460353203 + 
  (914450*f[1]*f[a[1]^4*b[1]*c[1]]*f[b[3]*c[3]])/43046721 - 
  (191851610*f[a[1]^2]*f[a[1]^4*b[1]*c[1]]*f[b[3]*c[3]])/1162261467 + 
  (24864371014*f[a[1]^4]*f[a[1]^4*b[1]*c[1]]*f[b[3]*c[3]])/
   31381059609 - (61137383650*f[a[1]^6]*f[a[1]^4*b[1]*c[1]]*
     f[b[3]*c[3]])/31381059609 - 
  (2925142660*f[a[2]^2]*f[a[1]^4*b[1]*c[1]]*f[b[3]*c[3]])/31381059609 + 
  (34095158516*f[a[1]^2*a[2]^2]*f[a[1]^4*b[1]*c[1]]*f[b[3]*c[3]])/
   94143178827 + (216541760*f[a[1]*a[3]]*f[a[1]^4*b[1]*c[1]]*
     f[b[3]*c[3]])/10460353203 - 
  (40404351424*f[a[1]^3*a[3]]*f[a[1]^4*b[1]*c[1]]*f[b[3]*c[3]])/
   282429536481 - (1378441930*f[a[3]^2]*f[a[1]^4*b[1]*c[1]]*
     f[b[3]*c[3]])/282429536481 + 
  (34084843520*f[a[2]*a[4]]*f[a[1]^4*b[1]*c[1]]*f[b[3]*c[3]])/
   847288609443 - (14075214400*f[a[1]*a[5]]*f[a[1]^4*b[1]*c[1]]*
     f[b[3]*c[3]])/847288609443 + 
  (1514050*f[b[1]*c[1]]*f[a[1]^4*b[1]*c[1]]*f[b[3]*c[3]])/387420489 - 
  (317647690*f[a[1]^2*b[1]*c[1]]*f[a[1]^4*b[1]*c[1]]*f[b[3]*c[3]])/
   10460353203 + (20583903403*f[a[1]^4*b[1]*c[1]]^2*f[b[3]*c[3]])/
   282429536481 - (9363968*f[a[2]]*f[a[2]*b[1]*c[1]]*f[b[3]*c[3]])/
   43046721 + (46819840*f[a[1]^2*a[2]]*f[a[2]*b[1]*c[1]]*f[b[3]*c[3]])/
   1162261467 - (234099200*f[a[1]^4*a[2]]*f[a[2]*b[1]*c[1]]*
     f[b[3]*c[3]])/10460353203 - 
  (243463168*f[a[2]^3]*f[a[2]*b[1]*c[1]]*f[b[3]*c[3]])/3486784401 - 
  (299646976*f[a[1]*a[2]*a[3]]*f[a[2]*b[1]*c[1]]*f[b[3]*c[3]])/
   10460353203 + (37455872*f[a[4]]*f[a[2]*b[1]*c[1]]*f[b[3]*c[3]])/
   3486784401 - (187279360*f[a[1]^2*a[4]]*f[a[2]*b[1]*c[1]]*
     f[b[3]*c[3]])/94143178827 - 
  (103003648*f[a[6]]*f[a[2]*b[1]*c[1]]*f[b[3]*c[3]])/10460353203 - 
  (7751936*f[a[2]*b[1]*c[1]]^2*f[b[3]*c[3]])/387420489 - 
  (599293952*f[a[1]*a[2]]*f[a[1]*a[2]*b[1]*c[1]]*f[b[3]*c[3]])/
   3486784401 + (2996469760*f[a[1]^3*a[2]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[b[3]*c[3]])/31381059609 - 
  (599293952*f[a[2]*a[3]]*f[a[1]*a[2]*b[1]*c[1]]*f[b[3]*c[3]])/
   10460353203 + (2397175808*f[a[1]*a[4]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[b[3]*c[3]])/94143178827 - 
  (496123904*f[a[1]*a[2]*b[1]*c[1]]^2*f[b[3]*c[3]])/31381059609 + 
  (46819840*f[a[2]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[3]*c[3]])/1162261467 - 
  (24674055680*f[a[1]^2*a[2]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[3]*c[3]])/
   94143178827 + (243229068800*f[a[1]^4*a[2]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[b[3]*c[3]])/847288609443 - 
  (73057678336*f[a[2]^3]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[3]*c[3]])/
   282429536481 - (48243163136*f[a[1]*a[2]*a[3]]*
     f[a[1]^2*a[2]*b[1]*c[1]]*f[b[3]*c[3]])/847288609443 - 
  (187279360*f[a[4]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[3]*c[3]])/
   94143178827 + (15019804672*f[a[1]^2*a[4]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[b[3]*c[3]])/282429536481 + 
  (515018240*f[a[6]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[3]*c[3]])/
   282429536481 + (77519360*f[a[2]*b[1]*c[1]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[b[3]*c[3]])/10460353203 - 
  (20426351360*f[a[1]^2*a[2]*b[1]*c[1]]^2*f[b[3]*c[3]])/847288609443 + 
  (951028*f[1]*f[a[2]^2*b[1]*c[1]]*f[b[3]*c[3]])/43046721 + 
  (285381556*f[a[1]^2]*f[a[2]^2*b[1]*c[1]]*f[b[3]*c[3]])/3486784401 - 
  (2925142660*f[a[1]^4]*f[a[2]^2*b[1]*c[1]]*f[b[3]*c[3]])/31381059609 + 
  (36861479500*f[a[1]^6]*f[a[2]^2*b[1]*c[1]]*f[b[3]*c[3]])/
   282429536481 + (1606359448*f[a[2]^2]*f[a[2]^2*b[1]*c[1]]*
     f[b[3]*c[3]])/3486784401 - 
  (64495353784*f[a[1]^2*a[2]^2]*f[a[2]^2*b[1]*c[1]]*f[b[3]*c[3]])/
   847288609443 + (1528667776*f[a[1]*a[3]]*f[a[2]^2*b[1]*c[1]]*
     f[b[3]*c[3]])/10460353203 - 
  (13341313408*f[a[1]^3*a[3]]*f[a[2]^2*b[1]*c[1]]*f[b[3]*c[3]])/
   282429536481 + (66571301596*f[a[3]^2]*f[a[2]^2*b[1]*c[1]]*
     f[b[3]*c[3]])/282429536481 - 
  (7041703936*f[a[2]*a[4]]*f[a[2]^2*b[1]*c[1]]*f[b[3]*c[3]])/
   282429536481 - (51419889280*f[a[1]*a[5]]*f[a[2]^2*b[1]*c[1]]*
     f[b[3]*c[3]])/847288609443 + 
  (1574612*f[b[1]*c[1]]*f[a[2]^2*b[1]*c[1]]*f[b[3]*c[3]])/387420489 + 
  (472504724*f[a[1]^2*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]]*f[b[3]*c[3]])/
   31381059609 - (4843143140*f[a[1]^4*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]]*
     f[b[3]*c[3]])/282429536481 + 
  (1329820396*f[a[2]^2*b[1]*c[1]]^2*f[b[3]*c[3]])/31381059609 - 
  (585248*f[a[1]]*f[a[3]*b[1]*c[1]]*f[b[3]*c[3]])/43046721 + 
  (2926240*f[a[1]^3]*f[a[3]*b[1]*c[1]]*f[b[3]*c[3]])/387420489 - 
  (73156000*f[a[1]^5]*f[a[3]*b[1]*c[1]]*f[b[3]*c[3]])/10460353203 - 
  (15216448*f[a[1]*a[2]^2]*f[a[3]*b[1]*c[1]]*f[b[3]*c[3]])/
   10460353203 + (376314464*f[a[3]]*f[a[3]*b[1]*c[1]]*f[b[3]*c[3]])/
   1162261467 - (1993939936*f[a[1]^2*a[3]]*f[a[3]*b[1]*c[1]]*
     f[b[3]*c[3]])/31381059609 - 
  (137533280*f[a[5]]*f[a[3]*b[1]*c[1]]*f[b[3]*c[3]])/10460353203 - 
  (968992*f[a[1]*b[1]*c[1]]*f[a[3]*b[1]*c[1]]*f[b[3]*c[3]])/387420489 + 
  (4844960*f[a[1]^3*b[1]*c[1]]*f[a[3]*b[1]*c[1]]*f[b[3]*c[3]])/
   3486784401 + (311530928*f[a[3]*b[1]*c[1]]^2*f[b[3]*c[3]])/
   10460353203 + (1170496*f[1]*f[a[1]*a[3]*b[1]*c[1]]*f[b[3]*c[3]])/
   43046721 - (8193472*f[a[1]^2]*f[a[1]*a[3]*b[1]*c[1]]*f[b[3]*c[3]])/
   387420489 + (216541760*f[a[1]^4]*f[a[1]*a[3]*b[1]*c[1]]*
     f[b[3]*c[3]])/10460353203 - 
  (7754536000*f[a[1]^6]*f[a[1]*a[3]*b[1]*c[1]]*f[b[3]*c[3]])/
   282429536481 + (1528667776*f[a[2]^2]*f[a[1]*a[3]*b[1]*c[1]]*
     f[b[3]*c[3]])/10460353203 - 
  (8130265216*f[a[1]^2*a[2]^2]*f[a[1]*a[3]*b[1]*c[1]]*f[b[3]*c[3]])/
   282429536481 + (6161490944*f[a[1]*a[3]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[b[3]*c[3]])/31381059609 - 
  (32605336576*f[a[1]^3*a[3]]*f[a[1]*a[3]*b[1]*c[1]]*f[b[3]*c[3]])/
   282429536481 - (4362438592*f[a[3]^2]*f[a[1]*a[3]*b[1]*c[1]]*
     f[b[3]*c[3]])/94143178827 + 
  (58730807296*f[a[2]*a[4]]*f[a[1]*a[3]*b[1]*c[1]]*f[b[3]*c[3]])/
   847288609443 - (9644887040*f[a[1]*a[5]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[b[3]*c[3]])/847288609443 + 
  (1937984*f[b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]]*f[b[3]*c[3]])/
   387420489 - (13565888*f[a[1]^2*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[b[3]*c[3]])/3486784401 + 
  (358527040*f[a[1]^4*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]]*f[b[3]*c[3]])/
   94143178827 + (2531007104*f[a[2]^2*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[b[3]*c[3]])/94143178827 + 
  (5100773888*f[a[1]*a[3]*b[1]*c[1]]^2*f[b[3]*c[3]])/282429536481 + 
  (37455872*f[a[2]]*f[a[4]*b[1]*c[1]]*f[b[3]*c[3]])/3486784401 - 
  (187279360*f[a[1]^2*a[2]]*f[a[4]*b[1]*c[1]]*f[b[3]*c[3]])/
   94143178827 + (936396800*f[a[1]^4*a[2]]*f[a[4]*b[1]*c[1]]*
     f[b[3]*c[3]])/847288609443 + 
  (973852672*f[a[2]^3]*f[a[4]*b[1]*c[1]]*f[b[3]*c[3]])/282429536481 + 
  (1198587904*f[a[1]*a[2]*a[3]]*f[a[4]*b[1]*c[1]]*f[b[3]*c[3]])/
   847288609443 - (13334290432*f[a[4]]*f[a[4]*b[1]*c[1]]*f[b[3]*c[3]])/
   31381059609 + (66671452160*f[a[1]^2*a[4]]*f[a[4]*b[1]*c[1]]*
     f[b[3]*c[3]])/847288609443 + 
  (3333572608*f[a[6]]*f[a[4]*b[1]*c[1]]*f[b[3]*c[3]])/282429536481 + 
  (62015488*f[a[2]*b[1]*c[1]]*f[a[4]*b[1]*c[1]]*f[b[3]*c[3]])/
   31381059609 - (310077440*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[4]*b[1]*c[1]]*
     f[b[3]*c[3]])/847288609443 - 
  (11038756864*f[a[4]*b[1]*c[1]]^2*f[b[3]*c[3]])/282429536481 + 
  (30944000*f[b[2]*c[1]]^2*f[b[3]*c[3]])/129140163 - 
  (1556480*f[a[2]]*f[a[1]*b[2]*c[1]]*f[b[3]*c[3]])/14348907 + 
  (7782400*f[a[1]^2*a[2]]*f[a[1]*b[2]*c[1]]*f[b[3]*c[3]])/387420489 - 
  (38912000*f[a[1]^4*a[2]]*f[a[1]*b[2]*c[1]]*f[b[3]*c[3]])/3486784401 - 
  (40468480*f[a[2]^3]*f[a[1]*b[2]*c[1]]*f[b[3]*c[3]])/1162261467 - 
  (49807360*f[a[1]*a[2]*a[3]]*f[a[1]*b[2]*c[1]]*f[b[3]*c[3]])/
   3486784401 + (6225920*f[a[4]]*f[a[1]*b[2]*c[1]]*f[b[3]*c[3]])/
   129140163 - (31129600*f[a[1]^2*a[4]]*f[a[1]*b[2]*c[1]]*
     f[b[3]*c[3]])/3486784401 - 
  (38912000*f[a[6]]*f[a[1]*b[2]*c[1]]*f[b[3]*c[3]])/1162261467 + 
  (80773120*f[a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*f[b[3]*c[3]])/
   3486784401 - (403865600*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*
     f[b[3]*c[3]])/94143178827 - 
  (323092480*f[a[4]*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*f[b[3]*c[3]])/
   31381059609 + (495104000*f[a[1]*b[2]*c[1]]^2*f[b[3]*c[3]])/
   3486784401 - (49807360*f[a[1]*a[2]]*f[a[1]^2*b[2]*c[1]]*
     f[b[3]*c[3]])/387420489 + 
  (249036800*f[a[1]^3*a[2]]*f[a[1]^2*b[2]*c[1]]*f[b[3]*c[3]])/
   3486784401 + (49807360*f[a[2]*a[3]]*f[a[1]^2*b[2]*c[1]]*
     f[b[3]*c[3]])/3486784401 + 
  (199229440*f[a[1]*a[4]]*f[a[1]^2*b[2]*c[1]]*f[b[3]*c[3]])/
   3486784401 + (2584739840*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*
     f[b[3]*c[3]])/94143178827 - 
  (309440000*f[b[2]*c[1]]*f[a[1]^2*b[2]*c[1]]*f[b[3]*c[3]])/
   3486784401 + (5538976000*f[a[1]^2*b[2]*c[1]]^2*f[b[3]*c[3]])/
   31381059609 + (7782400*f[a[2]]*f[a[1]^3*b[2]*c[1]]*f[b[3]*c[3]])/
   129140163 - (278609920*f[a[1]^2*a[2]]*f[a[1]^3*b[2]*c[1]]*
     f[b[3]*c[3]])/1162261467 + 
  (8163737600*f[a[1]^4*a[2]]*f[a[1]^3*b[2]*c[1]]*f[b[3]*c[3]])/
   31381059609 - (10929602560*f[a[2]^3]*f[a[1]^3*b[2]*c[1]]*
     f[b[3]*c[3]])/94143178827 + 
  (348651520*f[a[1]*a[2]*a[3]]*f[a[1]^3*b[2]*c[1]]*f[b[3]*c[3]])/
   10460353203 - (31129600*f[a[4]]*f[a[1]^3*b[2]*c[1]]*f[b[3]*c[3]])/
   1162261467 + (1114439680*f[a[1]^2*a[4]]*f[a[1]^3*b[2]*c[1]]*
     f[b[3]*c[3]])/10460353203 + 
  (194560000*f[a[6]]*f[a[1]^3*b[2]*c[1]]*f[b[3]*c[3]])/10460353203 - 
  (403865600*f[a[2]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*f[b[3]*c[3]])/
   31381059609 + (14458388480*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]^3*b[2]*c[1]]*f[b[3]*c[3]])/282429536481 + 
  (1615462400*f[a[4]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*f[b[3]*c[3]])/
   282429536481 - (4951040000*f[a[1]*b[2]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[b[3]*c[3]])/31381059609 + 
  (290626048000*f[a[1]^3*b[2]*c[1]]^2*f[b[3]*c[3]])/847288609443 + 
  (1556480*f[a[1]]*f[a[2]*b[2]*c[1]]*f[b[3]*c[3]])/14348907 - 
  (7782400*f[a[1]^3]*f[a[2]*b[2]*c[1]]*f[b[3]*c[3]])/129140163 + 
  (194560000*f[a[1]^5]*f[a[2]*b[2]*c[1]]*f[b[3]*c[3]])/3486784401 + 
  (40468480*f[a[1]*a[2]^2]*f[a[2]*b[2]*c[1]]*f[b[3]*c[3]])/3486784401 + 
  (7782400*f[a[3]]*f[a[2]*b[2]*c[1]]*f[b[3]*c[3]])/43046721 - 
  (17121280*f[a[1]^2*a[3]]*f[a[2]*b[2]*c[1]]*f[b[3]*c[3]])/3486784401 - 
  (85606400*f[a[5]]*f[a[2]*b[2]*c[1]]*f[b[3]*c[3]])/1162261467 - 
  (80773120*f[a[1]*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*f[b[3]*c[3]])/
   3486784401 + (403865600*f[a[1]^3*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*
     f[b[3]*c[3]])/31381059609 - 
  (403865600*f[a[3]*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*f[b[3]*c[3]])/
   10460353203 - (7921664000*f[a[2]*b[2]*c[1]]^2*f[b[3]*c[3]])/
   31381059609 + (49807360*f[a[1]^2]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[3]*c[3]])/387420489 - 
  (498073600*f[a[1]^4]*f[a[1]*a[2]*b[2]*c[1]]*f[b[3]*c[3]])/
   3486784401 + (6225920000*f[a[1]^6]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[3]*c[3]])/31381059609 + 
  (796917760*f[a[2]^2]*f[a[1]*a[2]*b[2]*c[1]]*f[b[3]*c[3]])/
   3486784401 - (99614720*f[a[1]^2*a[2]^2]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[3]*c[3]])/3486784401 + 
  (348651520*f[a[1]*a[3]]*f[a[1]*a[2]*b[2]*c[1]]*f[b[3]*c[3]])/
   3486784401 - (49807360*f[a[1]^3*a[3]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[3]*c[3]])/10460353203 - 
  (249036800*f[a[3]^2]*f[a[1]*a[2]*b[2]*c[1]]*f[b[3]*c[3]])/
   10460353203 - (15938355200*f[a[2]*a[4]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[3]*c[3]])/282429536481 - 
  (10708582400*f[a[1]*a[5]]*f[a[1]*a[2]*b[2]*c[1]]*f[b[3]*c[3]])/
   282429536481 - (2584739840*f[a[1]^2*b[1]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]]*f[b[3]*c[3]])/94143178827 + 
  (25847398400*f[a[1]^4*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[3]*c[3]])/847288609443 - 
  (41355837440*f[a[2]^2*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[3]*c[3]])/847288609443 - 
  (18093178880*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[3]*c[3]])/847288609443 - 
  (506986496000*f[a[1]*a[2]*b[2]*c[1]]^2*f[b[3]*c[3]])/2541865828329 - 
  (7782400*f[a[2]]*f[a[3]*b[2]*c[1]]*f[b[3]*c[3]])/43046721 + 
  (38912000*f[a[1]^2*a[2]]*f[a[3]*b[2]*c[1]]*f[b[3]*c[3]])/1162261467 - 
  (194560000*f[a[1]^4*a[2]]*f[a[3]*b[2]*c[1]]*f[b[3]*c[3]])/
   10460353203 - (202342400*f[a[2]^3]*f[a[3]*b[2]*c[1]]*f[b[3]*c[3]])/
   3486784401 - (249036800*f[a[1]*a[2]*a[3]]*f[a[3]*b[2]*c[1]]*
     f[b[3]*c[3]])/10460353203 - 
  (305070080*f[a[4]]*f[a[3]*b[2]*c[1]]*f[b[3]*c[3]])/1162261467 + 
  (1525350400*f[a[1]^2*a[4]]*f[a[3]*b[2]*c[1]]*f[b[3]*c[3]])/
   31381059609 + (9888317440*f[a[6]]*f[a[3]*b[2]*c[1]]*f[b[3]*c[3]])/
   94143178827 + (403865600*f[a[2]*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[b[3]*c[3]])/10460353203 - 
  (2019328000*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*f[b[3]*c[3]])/
   282429536481 + (15831531520*f[a[4]*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[b[3]*c[3]])/282429536481 - 
  (990208000*f[a[1]*b[2]*c[1]]*f[a[3]*b[2]*c[1]]*f[b[3]*c[3]])/
   31381059609 + (4951040000*f[a[1]^3*b[2]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[b[3]*c[3]])/282429536481 + 
  (318351872000*f[a[3]*b[2]*c[1]]^2*f[b[3]*c[3]])/847288609443 - 
  (346400*f[1]*f[b[3]*c[1]]*f[b[3]*c[3]])/531441 + 
  (1732000*f[a[1]^2]*f[b[3]*c[1]]*f[b[3]*c[3]])/14348907 - 
  (8660000*f[a[1]^4]*f[b[3]*c[1]]*f[b[3]*c[3]])/129140163 + 
  (216500000*f[a[1]^6]*f[b[3]*c[1]]*f[b[3]*c[3]])/3486784401 - 
  (9006400*f[a[2]^2]*f[b[3]*c[1]]*f[b[3]*c[3]])/129140163 + 
  (45032000*f[a[1]^2*a[2]^2]*f[b[3]*c[1]]*f[b[3]*c[3]])/3486784401 - 
  (11084800*f[a[1]*a[3]]*f[b[3]*c[1]]*f[b[3]*c[3]])/129140163 + 
  (55424000*f[a[1]^3*a[3]]*f[b[3]*c[1]]*f[b[3]*c[3]])/1162261467 + 
  (309335200*f[a[3]^2]*f[b[3]*c[1]]*f[b[3]*c[3]])/3486784401 + 
  (709427200*f[a[2]*a[4]]*f[b[3]*c[1]]*f[b[3]*c[3]])/10460353203 + 
  (720512000*f[a[1]*a[5]]*f[b[3]*c[1]]*f[b[3]*c[3]])/10460353203 - 
  (1998560*f[b[1]*c[1]]*f[b[3]*c[1]]*f[b[3]*c[3]])/14348907 + 
  (9992800*f[a[1]^2*b[1]*c[1]]*f[b[3]*c[1]]*f[b[3]*c[3]])/387420489 - 
  (49964000*f[a[1]^4*b[1]*c[1]]*f[b[3]*c[1]]*f[b[3]*c[3]])/3486784401 - 
  (51962560*f[a[2]^2*b[1]*c[1]]*f[b[3]*c[1]]*f[b[3]*c[3]])/3486784401 - 
  (63953920*f[a[1]*a[3]*b[1]*c[1]]*f[b[3]*c[1]]*f[b[3]*c[3]])/
   3486784401 + (1600*f[b[3]*c[1]]^2*f[b[3]*c[3]])/6561 - 
  (5542400*f[a[1]]*f[a[1]*b[3]*c[1]]*f[b[3]*c[3]])/14348907 + 
  (27712000*f[a[1]^3]*f[a[1]*b[3]*c[1]]*f[b[3]*c[3]])/129140163 - 
  (692800000*f[a[1]^5]*f[a[1]*b[3]*c[1]]*f[b[3]*c[3]])/3486784401 - 
  (144102400*f[a[1]*a[2]^2]*f[a[1]*b[3]*c[1]]*f[b[3]*c[3]])/
   3486784401 + (5542400*f[a[3]]*f[a[1]*b[3]*c[1]]*f[b[3]*c[3]])/
   129140163 - (127475200*f[a[1]^2*a[3]]*f[a[1]*b[3]*c[1]]*
     f[b[3]*c[3]])/1162261467 - 
  (360256000*f[a[5]]*f[a[1]*b[3]*c[1]]*f[b[3]*c[3]])/10460353203 - 
  (31976960*f[a[1]*b[1]*c[1]]*f[a[1]*b[3]*c[1]]*f[b[3]*c[3]])/
   387420489 + (159884800*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[3]*c[1]]*
     f[b[3]*c[3]])/3486784401 + 
  (31976960*f[a[3]*b[1]*c[1]]*f[a[1]*b[3]*c[1]]*f[b[3]*c[3]])/
   3486784401 + (353484800*f[a[2]*b[2]*c[1]]*f[a[1]*b[3]*c[1]]*
     f[b[3]*c[3]])/10460353203 + 
  (25600*f[a[1]*b[3]*c[1]]^2*f[b[3]*c[3]])/177147 + 
  (1732000*f[1]*f[a[1]^2*b[3]*c[1]]*f[b[3]*c[3]])/14348907 - 
  (62005600*f[a[1]^2]*f[a[1]^2*b[3]*c[1]]*f[b[3]*c[3]])/129140163 + 
  (1816868000*f[a[1]^4]*f[a[1]^2*b[3]*c[1]]*f[b[3]*c[3]])/3486784401 - 
  (67591300000*f[a[1]^6]*f[a[1]^2*b[3]*c[1]]*f[b[3]*c[3]])/
   94143178827 - (2702612800*f[a[2]^2]*f[a[1]^2*b[3]*c[1]]*
     f[b[3]*c[3]])/10460353203 - 
  (320766400*f[a[1]^2*a[2]^2]*f[a[1]^2*b[3]*c[1]]*f[b[3]*c[3]])/
   282429536481 + (77593600*f[a[1]*a[3]]*f[a[1]^2*b[3]*c[1]]*
     f[b[3]*c[3]])/1162261467 - 
  (6839321600*f[a[1]^3*a[3]]*f[a[1]^2*b[3]*c[1]]*f[b[3]*c[3]])/
   31381059609 - (2078746400*f[a[3]^2]*f[a[1]^2*b[3]*c[1]]*
     f[b[3]*c[3]])/94143178827 + 
  (30505369600*f[a[2]*a[4]]*f[a[1]^2*b[3]*c[1]]*f[b[3]*c[3]])/
   282429536481 - (5043584000*f[a[1]*a[5]]*f[a[1]^2*b[3]*c[1]]*
     f[b[3]*c[3]])/94143178827 + 
  (9992800*f[b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*f[b[3]*c[3]])/387420489 - 
  (357742240*f[a[1]^2*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*f[b[3]*c[3]])/
   3486784401 + (10482447200*f[a[1]^4*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[b[3]*c[3]])/94143178827 - 
  (15592765120*f[a[2]^2*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*f[b[3]*c[3]])/
   282429536481 + (447677440*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[b[3]*c[3]])/31381059609 + 
  (11311513600*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[b[3]*c[3]])/282429536481 - 
  (16000*f[b[3]*c[1]]*f[a[1]^2*b[3]*c[1]]*f[b[3]*c[3]])/177147 + 
  (286400*f[a[1]^2*b[3]*c[1]]^2*f[b[3]*c[3]])/1594323 + 
  (88678400*f[a[2]]*f[a[2]*b[3]*c[1]]*f[b[3]*c[3]])/129140163 - 
  (443392000*f[a[1]^2*a[2]]*f[a[2]*b[3]*c[1]]*f[b[3]*c[3]])/
   3486784401 + (2216960000*f[a[1]^4*a[2]]*f[a[2]*b[3]*c[1]]*
     f[b[3]*c[3]])/31381059609 + 
  (2305638400*f[a[2]^3]*f[a[2]*b[3]*c[1]]*f[b[3]*c[3]])/10460353203 + 
  (2837708800*f[a[1]*a[2]*a[3]]*f[a[2]*b[3]*c[1]]*f[b[3]*c[3]])/
   31381059609 - (354713600*f[a[4]]*f[a[2]*b[3]*c[1]]*f[b[3]*c[3]])/
   10460353203 + (1773568000*f[a[1]^2*a[4]]*f[a[2]*b[3]*c[1]]*
     f[b[3]*c[3]])/282429536481 + 
  (975462400*f[a[6]]*f[a[2]*b[3]*c[1]]*f[b[3]*c[3]])/31381059609 + 
  (511631360*f[a[2]*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*f[b[3]*c[3]])/
   3486784401 - (2558156800*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[b[3]*c[3]])/94143178827 - 
  (2046525440*f[a[4]*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*f[b[3]*c[3]])/
   282429536481 - (353484800*f[a[1]*b[2]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[b[3]*c[3]])/10460353203 + 
  (1767424000*f[a[1]^3*b[2]*c[1]]*f[a[2]*b[3]*c[1]]*f[b[3]*c[3]])/
   94143178827 - (1767424000*f[a[3]*b[2]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[b[3]*c[3]])/31381059609 - 
  (409600*f[a[2]*b[3]*c[1]]^2*f[b[3]*c[3]])/1594323 + 
  (24212480*f[b[2]*c[1]]*f[b[4]*c[1]]*f[b[3]*c[3]])/1162261467 - 
  (121062400*f[a[1]^2*b[2]*c[1]]*f[b[4]*c[1]]*f[b[3]*c[3]])/
   31381059609 - (962630656*f[b[4]*c[1]]^2*f[b[3]*c[3]])/10460353203 - 
  (67993600*f[a[2]]*f[a[1]*b[4]*c[1]]*f[b[3]*c[3]])/387420489 + 
  (339968000*f[a[1]^2*a[2]]*f[a[1]*b[4]*c[1]]*f[b[3]*c[3]])/
   10460353203 - (1699840000*f[a[1]^4*a[2]]*f[a[1]*b[4]*c[1]]*
     f[b[3]*c[3]])/94143178827 - 
  (1767833600*f[a[2]^3]*f[a[1]*b[4]*c[1]]*f[b[3]*c[3]])/31381059609 - 
  (2175795200*f[a[1]*a[2]*a[3]]*f[a[1]*b[4]*c[1]]*f[b[3]*c[3]])/
   94143178827 + (271974400*f[a[4]]*f[a[1]*b[4]*c[1]]*f[b[3]*c[3]])/
   3486784401 - (1359872000*f[a[1]^2*a[4]]*f[a[1]*b[4]*c[1]]*
     f[b[3]*c[3]])/94143178827 - 
  (1699840000*f[a[6]]*f[a[1]*b[4]*c[1]]*f[b[3]*c[3]])/31381059609 - 
  (1250492416*f[a[2]*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*f[b[3]*c[3]])/
   31381059609 + (6252462080*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[b[3]*c[3]])/847288609443 + 
  (5001969664*f[a[4]*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*f[b[3]*c[3]])/
   282429536481 + (387399680*f[a[1]*b[2]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[b[3]*c[3]])/31381059609 - 
  (1936998400*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[4]*c[1]]*f[b[3]*c[3]])/
   282429536481 - (387399680*f[a[3]*b[2]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[b[3]*c[3]])/282429536481 + 
  (12911083520*f[a[2]*b[3]*c[1]]*f[a[1]*b[4]*c[1]]*f[b[3]*c[3]])/
   94143178827 - (15402090496*f[a[1]*b[4]*c[1]]^2*f[b[3]*c[3]])/
   282429536481 + (17422240*f[1]*f[b[5]*c[1]]*f[b[3]*c[3]])/129140163 - 
  (87111200*f[a[1]^2]*f[b[5]*c[1]]*f[b[3]*c[3]])/3486784401 + 
  (435556000*f[a[1]^4]*f[b[5]*c[1]]*f[b[3]*c[3]])/31381059609 - 
  (10888900000*f[a[1]^6]*f[b[5]*c[1]]*f[b[3]*c[3]])/847288609443 + 
  (452978240*f[a[2]^2]*f[b[5]*c[1]]*f[b[3]*c[3]])/31381059609 - 
  (2264891200*f[a[1]^2*a[2]^2]*f[b[5]*c[1]]*f[b[3]*c[3]])/
   847288609443 + (557511680*f[a[1]*a[3]]*f[b[5]*c[1]]*f[b[3]*c[3]])/
   31381059609 - (2787558400*f[a[1]^3*a[3]]*f[b[5]*c[1]]*f[b[3]*c[3]])/
   282429536481 - (15558060320*f[a[3]^2]*f[b[5]*c[1]]*f[b[3]*c[3]])/
   847288609443 - (35680747520*f[a[2]*a[4]]*f[b[5]*c[1]]*f[b[3]*c[3]])/
   2541865828329 - (36238259200*f[a[1]*a[5]]*f[b[5]*c[1]]*
     f[b[3]*c[3]])/2541865828329 + 
  (85536800*f[b[1]*c[1]]*f[b[5]*c[1]]*f[b[3]*c[3]])/1162261467 - 
  (427684000*f[a[1]^2*b[1]*c[1]]*f[b[5]*c[1]]*f[b[3]*c[3]])/
   31381059609 + (2138420000*f[a[1]^4*b[1]*c[1]]*f[b[5]*c[1]]*
     f[b[3]*c[3]])/282429536481 + 
  (2223956800*f[a[2]^2*b[1]*c[1]]*f[b[5]*c[1]]*f[b[3]*c[3]])/
   282429536481 + (2737177600*f[a[1]*a[3]*b[1]*c[1]]*f[b[5]*c[1]]*
     f[b[3]*c[3]])/282429536481 - 
  (2217539200*f[b[3]*c[1]]*f[b[5]*c[1]]*f[b[3]*c[3]])/10460353203 + 
  (11087696000*f[a[1]^2*b[3]*c[1]]*f[b[5]*c[1]]*f[b[3]*c[3]])/
   282429536481 - (1309921600*f[b[5]*c[1]]^2*f[b[3]*c[3]])/847288609443 + 
  (3967744*f[b[2]*c[1]]*f[b[1]*c[2]]*f[b[3]*c[3]])/43046721 - 
  (19838720*f[a[1]^2*b[2]*c[1]]*f[b[1]*c[2]]*f[b[3]*c[3]])/1162261467 + 
  (852830720*f[b[4]*c[1]]*f[b[1]*c[2]]*f[b[3]*c[3]])/3486784401 + 
  (7736000*f[b[1]*c[2]]^2*f[b[3]*c[3]])/129140163 + 
  (778240*f[a[2]]*f[a[1]*b[1]*c[2]]*f[b[3]*c[3]])/14348907 - 
  (3891200*f[a[1]^2*a[2]]*f[a[1]*b[1]*c[2]]*f[b[3]*c[3]])/387420489 + 
  (19456000*f[a[1]^4*a[2]]*f[a[1]*b[1]*c[2]]*f[b[3]*c[3]])/3486784401 + 
  (20234240*f[a[2]^3]*f[a[1]*b[1]*c[2]]*f[b[3]*c[3]])/1162261467 + 
  (24903680*f[a[1]*a[2]*a[3]]*f[a[1]*b[1]*c[2]]*f[b[3]*c[3]])/
   3486784401 - (3112960*f[a[4]]*f[a[1]*b[1]*c[2]]*f[b[3]*c[3]])/
   129140163 + (15564800*f[a[1]^2*a[4]]*f[a[1]*b[1]*c[2]]*
     f[b[3]*c[3]])/3486784401 + 
  (19456000*f[a[6]]*f[a[1]*b[1]*c[2]]*f[b[3]*c[3]])/1162261467 - 
  (40386560*f[a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[2]]*f[b[3]*c[3]])/
   3486784401 + (201932800*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[b[3]*c[3]])/94143178827 + 
  (161546240*f[a[4]*b[1]*c[1]]*f[a[1]*b[1]*c[2]]*f[b[3]*c[3]])/
   31381059609 + (63483904*f[a[1]*b[2]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[b[3]*c[3]])/1162261467 - 
  (317419520*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[1]*c[2]]*f[b[3]*c[3]])/
   10460353203 - (63483904*f[a[3]*b[2]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[b[3]*c[3]])/10460353203 - 
  (1788551168*f[a[2]*b[3]*c[1]]*f[a[1]*b[1]*c[2]]*f[b[3]*c[3]])/
   10460353203 + (13645291520*f[a[1]*b[4]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[b[3]*c[3]])/94143178827 + 
  (123776000*f[a[1]*b[1]*c[2]]^2*f[b[3]*c[3]])/3486784401 + 
  (24903680*f[a[1]*a[2]]*f[a[1]^2*b[1]*c[2]]*f[b[3]*c[3]])/387420489 - 
  (124518400*f[a[1]^3*a[2]]*f[a[1]^2*b[1]*c[2]]*f[b[3]*c[3]])/
   3486784401 - (24903680*f[a[2]*a[3]]*f[a[1]^2*b[1]*c[2]]*
     f[b[3]*c[3]])/3486784401 - 
  (99614720*f[a[1]*a[4]]*f[a[1]^2*b[1]*c[2]]*f[b[3]*c[3]])/3486784401 - 
  (1292369920*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]]*f[b[3]*c[3]])/
   94143178827 - (19838720*f[b[2]*c[1]]*f[a[1]^2*b[1]*c[2]]*
     f[b[3]*c[3]])/1162261467 + 
  (710226176*f[a[1]^2*b[2]*c[1]]*f[a[1]^2*b[1]*c[2]]*f[b[3]*c[3]])/
   10460353203 - (4264153600*f[b[4]*c[1]]*f[a[1]^2*b[1]*c[2]]*
     f[b[3]*c[3]])/94143178827 - 
  (77360000*f[b[1]*c[2]]*f[a[1]^2*b[1]*c[2]]*f[b[3]*c[3]])/3486784401 + 
  (1384744000*f[a[1]^2*b[1]*c[2]]^2*f[b[3]*c[3]])/31381059609 - 
  (3891200*f[a[2]]*f[a[1]^3*b[1]*c[2]]*f[b[3]*c[3]])/129140163 + 
  (139304960*f[a[1]^2*a[2]]*f[a[1]^3*b[1]*c[2]]*f[b[3]*c[3]])/
   1162261467 - (4081868800*f[a[1]^4*a[2]]*f[a[1]^3*b[1]*c[2]]*
     f[b[3]*c[3]])/31381059609 + 
  (5464801280*f[a[2]^3]*f[a[1]^3*b[1]*c[2]]*f[b[3]*c[3]])/94143178827 - 
  (174325760*f[a[1]*a[2]*a[3]]*f[a[1]^3*b[1]*c[2]]*f[b[3]*c[3]])/
   10460353203 + (15564800*f[a[4]]*f[a[1]^3*b[1]*c[2]]*f[b[3]*c[3]])/
   1162261467 - (557219840*f[a[1]^2*a[4]]*f[a[1]^3*b[1]*c[2]]*
     f[b[3]*c[3]])/10460353203 - 
  (97280000*f[a[6]]*f[a[1]^3*b[1]*c[2]]*f[b[3]*c[3]])/10460353203 + 
  (201932800*f[a[2]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*f[b[3]*c[3]])/
   31381059609 - (7229194240*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]^3*b[1]*c[2]]*f[b[3]*c[3]])/282429536481 - 
  (807731200*f[a[4]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*f[b[3]*c[3]])/
   282429536481 - (317419520*f[a[1]*b[2]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[b[3]*c[3]])/10460353203 + 
  (37265051648*f[a[1]^3*b[2]*c[1]]*f[a[1]^3*b[1]*c[2]]*f[b[3]*c[3]])/
   282429536481 + (317419520*f[a[3]*b[2]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[b[3]*c[3]])/94143178827 + 
  (8942755840*f[a[2]*b[3]*c[1]]*f[a[1]^3*b[1]*c[2]]*f[b[3]*c[3]])/
   94143178827 - (68226457600*f[a[1]*b[4]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[b[3]*c[3]])/847288609443 - 
  (1237760000*f[a[1]*b[1]*c[2]]*f[a[1]^3*b[1]*c[2]]*f[b[3]*c[3]])/
   31381059609 + (72656512000*f[a[1]^3*b[1]*c[2]]^2*f[b[3]*c[3]])/
   847288609443 - (778240*f[a[1]]*f[a[2]*b[1]*c[2]]*f[b[3]*c[3]])/
   14348907 + (3891200*f[a[1]^3]*f[a[2]*b[1]*c[2]]*f[b[3]*c[3]])/
   129140163 - (97280000*f[a[1]^5]*f[a[2]*b[1]*c[2]]*f[b[3]*c[3]])/
   3486784401 - (20234240*f[a[1]*a[2]^2]*f[a[2]*b[1]*c[2]]*
     f[b[3]*c[3]])/3486784401 - 
  (3891200*f[a[3]]*f[a[2]*b[1]*c[2]]*f[b[3]*c[3]])/43046721 + 
  (8560640*f[a[1]^2*a[3]]*f[a[2]*b[1]*c[2]]*f[b[3]*c[3]])/3486784401 + 
  (42803200*f[a[5]]*f[a[2]*b[1]*c[2]]*f[b[3]*c[3]])/1162261467 + 
  (40386560*f[a[1]*b[1]*c[1]]*f[a[2]*b[1]*c[2]]*f[b[3]*c[3]])/
   3486784401 - (201932800*f[a[1]^3*b[1]*c[1]]*f[a[2]*b[1]*c[2]]*
     f[b[3]*c[3]])/31381059609 + 
  (201932800*f[a[3]*b[1]*c[1]]*f[a[2]*b[1]*c[2]]*f[b[3]*c[3]])/
   10460353203 - (1015742464*f[a[2]*b[2]*c[1]]*f[a[2]*b[1]*c[2]]*
     f[b[3]*c[3]])/10460353203 + 
  (1788551168*f[a[1]*b[3]*c[1]]*f[a[2]*b[1]*c[2]]*f[b[3]*c[3]])/
   10460353203 - (1980416000*f[a[2]*b[1]*c[2]]^2*f[b[3]*c[3]])/
   31381059609 - (24903680*f[a[1]^2]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[3]*c[3]])/387420489 + 
  (249036800*f[a[1]^4]*f[a[1]*a[2]*b[1]*c[2]]*f[b[3]*c[3]])/
   3486784401 - (3112960000*f[a[1]^6]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[3]*c[3]])/31381059609 - 
  (398458880*f[a[2]^2]*f[a[1]*a[2]*b[1]*c[2]]*f[b[3]*c[3]])/
   3486784401 + (49807360*f[a[1]^2*a[2]^2]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[3]*c[3]])/3486784401 - 
  (174325760*f[a[1]*a[3]]*f[a[1]*a[2]*b[1]*c[2]]*f[b[3]*c[3]])/
   3486784401 + (24903680*f[a[1]^3*a[3]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[3]*c[3]])/10460353203 + 
  (124518400*f[a[3]^2]*f[a[1]*a[2]*b[1]*c[2]]*f[b[3]*c[3]])/
   10460353203 + (7969177600*f[a[2]*a[4]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[3]*c[3]])/282429536481 + 
  (5354291200*f[a[1]*a[5]]*f[a[1]*a[2]*b[1]*c[2]]*f[b[3]*c[3]])/
   282429536481 + (1292369920*f[a[1]^2*b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]]*f[b[3]*c[3]])/94143178827 - 
  (12923699200*f[a[1]^4*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[3]*c[3]])/847288609443 + 
  (20677918720*f[a[2]^2*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[3]*c[3]])/847288609443 + 
  (9046589440*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[3]*c[3]])/847288609443 - 
  (65007517696*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[3]*c[3]])/847288609443 + 
  (57233637376*f[a[1]^2*b[3]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[3]*c[3]])/282429536481 - 
  (126746624000*f[a[1]*a[2]*b[1]*c[2]]^2*f[b[3]*c[3]])/2541865828329 + 
  (3891200*f[a[2]]*f[a[3]*b[1]*c[2]]*f[b[3]*c[3]])/43046721 - 
  (19456000*f[a[1]^2*a[2]]*f[a[3]*b[1]*c[2]]*f[b[3]*c[3]])/1162261467 + 
  (97280000*f[a[1]^4*a[2]]*f[a[3]*b[1]*c[2]]*f[b[3]*c[3]])/
   10460353203 + (101171200*f[a[2]^3]*f[a[3]*b[1]*c[2]]*f[b[3]*c[3]])/
   3486784401 + (124518400*f[a[1]*a[2]*a[3]]*f[a[3]*b[1]*c[2]]*
     f[b[3]*c[3]])/10460353203 + 
  (152535040*f[a[4]]*f[a[3]*b[1]*c[2]]*f[b[3]*c[3]])/1162261467 - 
  (762675200*f[a[1]^2*a[4]]*f[a[3]*b[1]*c[2]]*f[b[3]*c[3]])/
   31381059609 - (4944158720*f[a[6]]*f[a[3]*b[1]*c[2]]*f[b[3]*c[3]])/
   94143178827 - (201932800*f[a[2]*b[1]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[b[3]*c[3]])/10460353203 + 
  (1009664000*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[3]*b[1]*c[2]]*f[b[3]*c[3]])/
   282429536481 - (7915765760*f[a[4]*b[1]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[b[3]*c[3]])/282429536481 - 
  (63483904*f[a[1]*b[2]*c[1]]*f[a[3]*b[1]*c[2]]*f[b[3]*c[3]])/
   10460353203 + (317419520*f[a[1]^3*b[2]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[b[3]*c[3]])/94143178827 + 
  (40820150272*f[a[3]*b[2]*c[1]]*f[a[3]*b[1]*c[2]]*f[b[3]*c[3]])/
   282429536481 - (8942755840*f[a[2]*b[3]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[b[3]*c[3]])/31381059609 - 
  (13645291520*f[a[1]*b[4]*c[1]]*f[a[3]*b[1]*c[2]]*f[b[3]*c[3]])/
   847288609443 - (247552000*f[a[1]*b[1]*c[2]]*f[a[3]*b[1]*c[2]]*
     f[b[3]*c[3]])/31381059609 + 
  (1237760000*f[a[1]^3*b[1]*c[2]]*f[a[3]*b[1]*c[2]]*f[b[3]*c[3]])/
   282429536481 + (79587968000*f[a[3]*b[1]*c[2]]^2*f[b[3]*c[3]])/
   847288609443 - (911506*f[1]*f[b[2]*c[2]]*f[b[3]*c[3]])/1594323 + 
  (4557530*f[a[1]^2]*f[b[2]*c[2]]*f[b[3]*c[3]])/43046721 - 
  (22787650*f[a[1]^4]*f[b[2]*c[2]]*f[b[3]*c[3]])/387420489 + 
  (569691250*f[a[1]^6]*f[b[2]*c[2]]*f[b[3]*c[3]])/10460353203 - 
  (23699156*f[a[2]^2]*f[b[2]*c[2]]*f[b[3]*c[3]])/387420489 + 
  (118495780*f[a[1]^2*a[2]^2]*f[b[2]*c[2]]*f[b[3]*c[3]])/10460353203 - 
  (29168192*f[a[1]*a[3]]*f[b[2]*c[2]]*f[b[3]*c[3]])/387420489 + 
  (145840960*f[a[1]^3*a[3]]*f[b[2]*c[2]]*f[b[3]*c[3]])/3486784401 + 
  (813974858*f[a[3]^2]*f[b[2]*c[2]]*f[b[3]*c[3]])/10460353203 + 
  (1866764288*f[a[2]*a[4]]*f[b[2]*c[2]]*f[b[3]*c[3]])/31381059609 + 
  (1895932480*f[a[1]*a[5]]*f[b[2]*c[2]]*f[b[3]*c[3]])/31381059609 - 
  (60476498*f[b[1]*c[1]]*f[b[2]*c[2]]*f[b[3]*c[3]])/129140163 + 
  (302382490*f[a[1]^2*b[1]*c[1]]*f[b[2]*c[2]]*f[b[3]*c[3]])/
   3486784401 - (1511912450*f[a[1]^4*b[1]*c[1]]*f[b[2]*c[2]]*
     f[b[3]*c[3]])/31381059609 - 
  (1572388948*f[a[2]^2*b[1]*c[1]]*f[b[2]*c[2]]*f[b[3]*c[3]])/
   31381059609 - (1935247936*f[a[1]*a[3]*b[1]*c[1]]*f[b[2]*c[2]]*
     f[b[3]*c[3]])/31381059609 - 
  (211854560*f[b[3]*c[1]]*f[b[2]*c[2]]*f[b[3]*c[3]])/387420489 + 
  (1059272800*f[a[1]^2*b[3]*c[1]]*f[b[2]*c[2]]*f[b[3]*c[3]])/
   10460353203 - (4145382880*f[b[5]*c[1]]*f[b[2]*c[2]]*f[b[3]*c[3]])/
   31381059609 + (27795449*f[b[2]*c[2]]^2*f[b[3]*c[3]])/129140163 - 
  (14584096*f[a[1]]*f[a[1]*b[2]*c[2]]*f[b[3]*c[3]])/43046721 + 
  (72920480*f[a[1]^3]*f[a[1]*b[2]*c[2]]*f[b[3]*c[3]])/387420489 - 
  (1823012000*f[a[1]^5]*f[a[1]*b[2]*c[2]]*f[b[3]*c[3]])/10460353203 - 
  (379186496*f[a[1]*a[2]^2]*f[a[1]*b[2]*c[2]]*f[b[3]*c[3]])/
   10460353203 + (14584096*f[a[3]]*f[a[1]*b[2]*c[2]]*f[b[3]*c[3]])/
   387420489 - (335434208*f[a[1]^2*a[3]]*f[a[1]*b[2]*c[2]]*
     f[b[3]*c[3]])/3486784401 - 
  (947966240*f[a[5]]*f[a[1]*b[2]*c[2]]*f[b[3]*c[3]])/31381059609 - 
  (967623968*f[a[1]*b[1]*c[1]]*f[a[1]*b[2]*c[2]]*f[b[3]*c[3]])/
   3486784401 + (4838119840*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[2]*c[2]]*
     f[b[3]*c[3]])/31381059609 + 
  (967623968*f[a[3]*b[1]*c[1]]*f[a[1]*b[2]*c[2]]*f[b[3]*c[3]])/
   31381059609 + (16138240*f[a[2]*b[2]*c[1]]*f[a[1]*b[2]*c[2]]*
     f[b[3]*c[3]])/31381059609 - 
  (3389672960*f[a[1]*b[3]*c[1]]*f[a[1]*b[2]*c[2]]*f[b[3]*c[3]])/
   10460353203 - (8069120*f[a[2]*b[1]*c[2]]*f[a[1]*b[2]*c[2]]*
     f[b[3]*c[3]])/31381059609 + 
  (444727184*f[a[1]*b[2]*c[2]]^2*f[b[3]*c[3]])/3486784401 + 
  (4557530*f[1]*f[a[1]^2*b[2]*c[2]]*f[b[3]*c[3]])/43046721 - 
  (163159574*f[a[1]^2]*f[a[1]^2*b[2]*c[2]]*f[b[3]*c[3]])/387420489 + 
  (4780848970*f[a[1]^4]*f[a[1]^2*b[2]*c[2]]*f[b[3]*c[3]])/10460353203 - 
  (177857608250*f[a[1]^6]*f[a[1]^2*b[2]*c[2]]*f[b[3]*c[3]])/
   282429536481 - (7111569812*f[a[2]^2]*f[a[1]^2*b[2]*c[2]]*
     f[b[3]*c[3]])/31381059609 - 
  (844054556*f[a[1]^2*a[2]^2]*f[a[1]^2*b[2]*c[2]]*f[b[3]*c[3]])/
   847288609443 + (204177344*f[a[1]*a[3]]*f[a[1]^2*b[2]*c[2]]*
     f[b[3]*c[3]])/3486784401 - 
  (17996774464*f[a[1]^3*a[3]]*f[a[1]^2*b[2]*c[2]]*f[b[3]*c[3]])/
   94143178827 - (5469947506*f[a[3]^2]*f[a[1]^2*b[2]*c[2]]*
     f[b[3]*c[3]])/282429536481 + 
  (80270864384*f[a[2]*a[4]]*f[a[1]^2*b[2]*c[2]]*f[b[3]*c[3]])/
   847288609443 - (13271527360*f[a[1]*a[5]]*f[a[1]^2*b[2]*c[2]]*
     f[b[3]*c[3]])/282429536481 + 
  (302382490*f[b[1]*c[1]]*f[a[1]^2*b[2]*c[2]]*f[b[3]*c[3]])/
   3486784401 - (10825293142*f[a[1]^2*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]]*
     f[b[3]*c[3]])/31381059609 + 
  (317199232010*f[a[1]^4*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]]*f[b[3]*c[3]])/
   847288609443 - (471837637396*f[a[2]^2*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]]*
     f[b[3]*c[3]])/2541865828329 + 
  (13546735552*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]]*
     f[b[3]*c[3]])/282429536481 + 
  (516423680*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]^2*b[2]*c[2]]*f[b[3]*c[3]])/
   847288609443 + (1059272800*f[b[3]*c[1]]*f[a[1]^2*b[2]*c[2]]*
     f[b[3]*c[3]])/10460353203 - 
  (37921966240*f[a[1]^2*b[3]*c[1]]*f[a[1]^2*b[2]*c[2]]*f[b[3]*c[3]])/
   94143178827 + (20726914400*f[b[5]*c[1]]*f[a[1]^2*b[2]*c[2]]*
     f[b[3]*c[3]])/847288609443 - 
  (258211840*f[a[1]*a[2]*b[1]*c[2]]*f[a[1]^2*b[2]*c[2]]*f[b[3]*c[3]])/
   847288609443 - (277954490*f[b[2]*c[2]]*f[a[1]^2*b[2]*c[2]]*
     f[b[3]*c[3]])/3486784401 + 
  (4975385371*f[a[1]^2*b[2]*c[2]]^2*f[b[3]*c[3]])/31381059609 + 
  (233345536*f[a[2]]*f[a[2]*b[2]*c[2]]*f[b[3]*c[3]])/387420489 - 
  (1166727680*f[a[1]^2*a[2]]*f[a[2]*b[2]*c[2]]*f[b[3]*c[3]])/
   10460353203 + (5833638400*f[a[1]^4*a[2]]*f[a[2]*b[2]*c[2]]*
     f[b[3]*c[3]])/94143178827 + 
  (6066983936*f[a[2]^3]*f[a[2]*b[2]*c[2]]*f[b[3]*c[3]])/31381059609 + 
  (7467057152*f[a[1]*a[2]*a[3]]*f[a[2]*b[2]*c[2]]*f[b[3]*c[3]])/
   94143178827 - (933382144*f[a[4]]*f[a[2]*b[2]*c[2]]*f[b[3]*c[3]])/
   31381059609 + (4666910720*f[a[1]^2*a[4]]*f[a[2]*b[2]*c[2]]*
     f[b[3]*c[3]])/847288609443 + 
  (2566800896*f[a[6]]*f[a[2]*b[2]*c[2]]*f[b[3]*c[3]])/94143178827 + 
  (15481983488*f[a[2]*b[1]*c[1]]*f[a[2]*b[2]*c[2]]*f[b[3]*c[3]])/
   31381059609 - (77409917440*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[2]*b[2]*c[2]]*f[b[3]*c[3]])/847288609443 - 
  (61927933952*f[a[4]*b[1]*c[1]]*f[a[2]*b[2]*c[2]]*f[b[3]*c[3]])/
   2541865828329 - (16138240*f[a[1]*b[2]*c[1]]*f[a[2]*b[2]*c[2]]*
     f[b[3]*c[3]])/31381059609 + 
  (80691200*f[a[1]^3*b[2]*c[1]]*f[a[2]*b[2]*c[2]]*f[b[3]*c[3]])/
   282429536481 - (80691200*f[a[3]*b[2]*c[1]]*f[a[2]*b[2]*c[2]]*
     f[b[3]*c[3]])/94143178827 + 
  (54234767360*f[a[2]*b[3]*c[1]]*f[a[2]*b[2]*c[2]]*f[b[3]*c[3]])/
   94143178827 - (494809088000*f[a[1]*b[4]*c[1]]*f[a[2]*b[2]*c[2]]*
     f[b[3]*c[3]])/2541865828329 + 
  (8069120*f[a[1]*b[1]*c[2]]*f[a[2]*b[2]*c[2]]*f[b[3]*c[3]])/
   31381059609 - (40345600*f[a[1]^3*b[1]*c[2]]*f[a[2]*b[2]*c[2]]*
     f[b[3]*c[3]])/282429536481 + 
  (40345600*f[a[3]*b[1]*c[2]]*f[a[2]*b[2]*c[2]]*f[b[3]*c[3]])/
   94143178827 - (7115634944*f[a[2]*b[2]*c[2]]^2*f[b[3]*c[3]])/
   31381059609 - (31079680*f[b[2]*c[1]]*f[b[3]*c[2]]*f[b[3]*c[3]])/
   129140163 + (155398400*f[a[1]^2*b[2]*c[1]]*f[b[3]*c[2]]*
     f[b[3]*c[3]])/3486784401 - 
  (1596147200*f[b[4]*c[1]]*f[b[3]*c[2]]*f[b[3]*c[3]])/10460353203 - 
  (149069440*f[b[1]*c[2]]*f[b[3]*c[2]]*f[b[3]*c[3]])/387420489 + 
  (745347200*f[a[1]^2*b[1]*c[2]]*f[b[3]*c[2]]*f[b[3]*c[3]])/
   10460353203 + (23104*f[b[3]*c[2]]^2*f[b[3]*c[3]])/59049 - 
  (171057152*f[a[2]]*f[a[1]*b[3]*c[2]]*f[b[3]*c[3]])/387420489 + 
  (855285760*f[a[1]^2*a[2]]*f[a[1]*b[3]*c[2]]*f[b[3]*c[3]])/
   10460353203 - (4276428800*f[a[1]^4*a[2]]*f[a[1]*b[3]*c[2]]*
     f[b[3]*c[3]])/94143178827 - 
  (4447485952*f[a[2]^3]*f[a[1]*b[3]*c[2]]*f[b[3]*c[3]])/31381059609 - 
  (5473828864*f[a[1]*a[2]*a[3]]*f[a[1]*b[3]*c[2]]*f[b[3]*c[3]])/
   94143178827 + (684228608*f[a[4]]*f[a[1]*b[3]*c[2]]*f[b[3]*c[3]])/
   3486784401 - (3421143040*f[a[1]^2*a[4]]*f[a[1]*b[3]*c[2]]*
     f[b[3]*c[3]])/94143178827 - 
  (4276428800*f[a[6]]*f[a[1]*b[3]*c[2]]*f[b[3]*c[3]])/31381059609 - 
  (2245148672*f[a[2]*b[1]*c[1]]*f[a[1]*b[3]*c[2]]*f[b[3]*c[3]])/
   10460353203 + (11225743360*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*b[3]*c[2]]*f[b[3]*c[3]])/282429536481 + 
  (8980594688*f[a[4]*b[1]*c[1]]*f[a[1]*b[3]*c[2]]*f[b[3]*c[3]])/
   94143178827 - (497274880*f[a[1]*b[2]*c[1]]*f[a[1]*b[3]*c[2]]*
     f[b[3]*c[3]])/3486784401 + 
  (2486374400*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[3]*c[2]]*f[b[3]*c[3]])/
   31381059609 + (497274880*f[a[3]*b[2]*c[1]]*f[a[1]*b[3]*c[2]]*
     f[b[3]*c[3]])/31381059609 + 
  (778240*f[a[2]*b[3]*c[1]]*f[a[1]*b[3]*c[2]]*f[b[3]*c[3]])/4782969 - 
  (25538355200*f[a[1]*b[4]*c[1]]*f[a[1]*b[3]*c[2]]*f[b[3]*c[3]])/
   282429536481 - (2385111040*f[a[1]*b[1]*c[2]]*f[a[1]*b[3]*c[2]]*
     f[b[3]*c[3]])/10460353203 + 
  (11925555200*f[a[1]^3*b[1]*c[2]]*f[a[1]*b[3]*c[2]]*f[b[3]*c[3]])/
   94143178827 + (2385111040*f[a[3]*b[1]*c[2]]*f[a[1]*b[3]*c[2]]*
     f[b[3]*c[3]])/94143178827 + 
  (6297051136*f[a[2]*b[2]*c[2]]*f[a[1]*b[3]*c[2]]*f[b[3]*c[3]])/
   31381059609 + (369664*f[a[1]*b[3]*c[2]]^2*f[b[3]*c[3]])/1594323 - 
  (102285440*f[1]*f[b[4]*c[2]]*f[b[3]*c[3]])/129140163 + 
  (511427200*f[a[1]^2]*f[b[4]*c[2]]*f[b[3]*c[3]])/3486784401 - 
  (2557136000*f[a[1]^4]*f[b[4]*c[2]]*f[b[3]*c[3]])/31381059609 + 
  (63928400000*f[a[1]^6]*f[b[4]*c[2]]*f[b[3]*c[3]])/847288609443 - 
  (2659421440*f[a[2]^2]*f[b[4]*c[2]]*f[b[3]*c[3]])/31381059609 + 
  (13297107200*f[a[1]^2*a[2]^2]*f[b[4]*c[2]]*f[b[3]*c[3]])/
   847288609443 - (3273134080*f[a[1]*a[3]]*f[b[4]*c[2]]*f[b[3]*c[3]])/
   31381059609 + (16365670400*f[a[1]^3*a[3]]*f[b[4]*c[2]]*
     f[b[3]*c[3]])/282429536481 + 
  (91340897920*f[a[3]^2]*f[b[4]*c[2]]*f[b[3]*c[3]])/847288609443 + 
  (209480581120*f[a[2]*a[4]]*f[b[4]*c[2]]*f[b[3]*c[3]])/2541865828329 + 
  (212753715200*f[a[1]*a[5]]*f[b[4]*c[2]]*f[b[3]*c[3]])/2541865828329 - 
  (1176818560*f[b[1]*c[1]]*f[b[4]*c[2]]*f[b[3]*c[3]])/3486784401 + 
  (5884092800*f[a[1]^2*b[1]*c[1]]*f[b[4]*c[2]]*f[b[3]*c[3]])/
   94143178827 - (29420464000*f[a[1]^4*b[1]*c[1]]*f[b[4]*c[2]]*
     f[b[3]*c[3]])/847288609443 - 
  (30597282560*f[a[2]^2*b[1]*c[1]]*f[b[4]*c[2]]*f[b[3]*c[3]])/
   847288609443 - (37658193920*f[a[1]*a[3]*b[1]*c[1]]*f[b[4]*c[2]]*
     f[b[3]*c[3]])/847288609443 + 
  (5031081472*f[b[3]*c[1]]*f[b[4]*c[2]]*f[b[3]*c[3]])/10460353203 - 
  (25155407360*f[a[1]^2*b[3]*c[1]]*f[b[4]*c[2]]*f[b[3]*c[3]])/
   282429536481 - (432972131840*f[b[5]*c[1]]*f[b[4]*c[2]]*
     f[b[3]*c[3]])/2541865828329 + 
  (4370046080*f[b[2]*c[2]]*f[b[4]*c[2]]*f[b[3]*c[3]])/10460353203 - 
  (21850230400*f[a[1]^2*b[2]*c[2]]*f[b[4]*c[2]]*f[b[3]*c[3]])/
   282429536481 - (27723904000*f[b[4]*c[2]]^2*f[b[3]*c[3]])/
   847288609443 - (9844166*f[1]*f[b[1]*b[2]*c[1]*c[2]]*f[b[3]*c[3]])/
   43046721 + (49220830*f[a[1]^2]*f[b[1]*b[2]*c[1]*c[2]]*f[b[3]*c[3]])/
   1162261467 - (246104150*f[a[1]^4]*f[b[1]*b[2]*c[1]*c[2]]*
     f[b[3]*c[3]])/10460353203 + 
  (6152603750*f[a[1]^6]*f[b[1]*b[2]*c[1]*c[2]]*f[b[3]*c[3]])/
   282429536481 - (255948316*f[a[2]^2]*f[b[1]*b[2]*c[1]*c[2]]*
     f[b[3]*c[3]])/10460353203 + 
  (1279741580*f[a[1]^2*a[2]^2]*f[b[1]*b[2]*c[1]*c[2]]*f[b[3]*c[3]])/
   282429536481 - (315013312*f[a[1]*a[3]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[b[3]*c[3]])/10460353203 + 
  (1575066560*f[a[1]^3*a[3]]*f[b[1]*b[2]*c[1]*c[2]]*f[b[3]*c[3]])/
   94143178827 + (8790840238*f[a[3]^2]*f[b[1]*b[2]*c[1]*c[2]]*
     f[b[3]*c[3]])/282429536481 + 
  (20160851968*f[a[2]*a[4]]*f[b[1]*b[2]*c[1]*c[2]]*f[b[3]*c[3]])/
   847288609443 + (20475865280*f[a[1]*a[5]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[b[3]*c[3]])/847288609443 - 
  (322165126*f[b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*f[b[3]*c[3]])/
   3486784401 + (1610825630*f[a[1]^2*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[b[3]*c[3]])/94143178827 - 
  (8054128150*f[a[1]^4*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*f[b[3]*c[3]])/
   847288609443 - (8376293276*f[a[2]^2*b[1]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]]*f[b[3]*c[3]])/847288609443 - 
  (10309284032*f[a[1]*a[3]*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[b[3]*c[3]])/847288609443 - 
  (1667886880*f[b[3]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*f[b[3]*c[3]])/
   10460353203 + (8339434400*f[a[1]^2*b[3]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[b[3]*c[3]])/282429536481 - 
  (29005762400*f[b[5]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*f[b[3]*c[3]])/
   282429536481 + (11065050902*f[b[2]*c[2]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[b[3]*c[3]])/31381059609 - 
  (55325254510*f[a[1]^2*b[2]*c[2]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[b[3]*c[3]])/847288609443 + 
  (10174505600*f[b[4]*c[2]]*f[b[1]*b[2]*c[1]*c[2]]*f[b[3]*c[3]])/
   94143178827 + (276701167211*f[b[1]*b[2]*c[1]*c[2]]^2*f[b[3]*c[3]])/
   2541865828329 + (346400*f[1]*f[b[1]*c[3]]*f[b[3]*c[3]])/1594323 - 
  (1732000*f[a[1]^2]*f[b[1]*c[3]]*f[b[3]*c[3]])/43046721 + 
  (8660000*f[a[1]^4]*f[b[1]*c[3]]*f[b[3]*c[3]])/387420489 - 
  (216500000*f[a[1]^6]*f[b[1]*c[3]]*f[b[3]*c[3]])/10460353203 + 
  (9006400*f[a[2]^2]*f[b[1]*c[3]]*f[b[3]*c[3]])/387420489 - 
  (45032000*f[a[1]^2*a[2]^2]*f[b[1]*c[3]]*f[b[3]*c[3]])/10460353203 + 
  (11084800*f[a[1]*a[3]]*f[b[1]*c[3]]*f[b[3]*c[3]])/387420489 - 
  (55424000*f[a[1]^3*a[3]]*f[b[1]*c[3]]*f[b[3]*c[3]])/3486784401 - 
  (309335200*f[a[3]^2]*f[b[1]*c[3]]*f[b[3]*c[3]])/10460353203 - 
  (709427200*f[a[2]*a[4]]*f[b[1]*c[3]]*f[b[3]*c[3]])/31381059609 - 
  (720512000*f[a[1]*a[5]]*f[b[1]*c[3]]*f[b[3]*c[3]])/31381059609 + 
  (1998560*f[b[1]*c[1]]*f[b[1]*c[3]]*f[b[3]*c[3]])/43046721 - 
  (9992800*f[a[1]^2*b[1]*c[1]]*f[b[1]*c[3]]*f[b[3]*c[3]])/1162261467 + 
  (49964000*f[a[1]^4*b[1]*c[1]]*f[b[1]*c[3]]*f[b[3]*c[3]])/
   10460353203 + (51962560*f[a[2]^2*b[1]*c[1]]*f[b[1]*c[3]]*
     f[b[3]*c[3]])/10460353203 + 
  (63953920*f[a[1]*a[3]*b[1]*c[1]]*f[b[1]*c[3]]*f[b[3]*c[3]])/
   10460353203 - (481378432*f[b[3]*c[1]]*f[b[1]*c[3]]*f[b[3]*c[3]])/
   1162261467 + (2406892160*f[a[1]^2*b[3]*c[1]]*f[b[1]*c[3]]*
     f[b[3]*c[3]])/31381059609 + 
  (755431040*f[b[5]*c[1]]*f[b[1]*c[3]]*f[b[3]*c[3]])/31381059609 + 
  (211854560*f[b[2]*c[2]]*f[b[1]*c[3]]*f[b[3]*c[3]])/1162261467 - 
  (1059272800*f[a[1]^2*b[2]*c[2]]*f[b[1]*c[3]]*f[b[3]*c[3]])/
   31381059609 + (3557158400*f[b[4]*c[2]]*f[b[1]*c[3]]*f[b[3]*c[3]])/
   10460353203 + (1667886880*f[b[1]*b[2]*c[1]*c[2]]*f[b[1]*c[3]]*
     f[b[3]*c[3]])/31381059609 + 
  (1600*f[b[1]*c[3]]^2*f[b[3]*c[3]])/59049 + 
  (5542400*f[a[1]]*f[a[1]*b[1]*c[3]]*f[b[3]*c[3]])/43046721 - 
  (27712000*f[a[1]^3]*f[a[1]*b[1]*c[3]]*f[b[3]*c[3]])/387420489 + 
  (692800000*f[a[1]^5]*f[a[1]*b[1]*c[3]]*f[b[3]*c[3]])/10460353203 + 
  (144102400*f[a[1]*a[2]^2]*f[a[1]*b[1]*c[3]]*f[b[3]*c[3]])/
   10460353203 - (5542400*f[a[3]]*f[a[1]*b[1]*c[3]]*f[b[3]*c[3]])/
   387420489 + (127475200*f[a[1]^2*a[3]]*f[a[1]*b[1]*c[3]]*
     f[b[3]*c[3]])/3486784401 + 
  (360256000*f[a[5]]*f[a[1]*b[1]*c[3]]*f[b[3]*c[3]])/31381059609 + 
  (31976960*f[a[1]*b[1]*c[1]]*f[a[1]*b[1]*c[3]]*f[b[3]*c[3]])/
   1162261467 - (159884800*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[1]*c[3]]*
     f[b[3]*c[3]])/10460353203 - 
  (31976960*f[a[3]*b[1]*c[1]]*f[a[1]*b[1]*c[3]]*f[b[3]*c[3]])/
   10460353203 + (3577102336*f[a[2]*b[2]*c[1]]*f[a[1]*b[1]*c[3]]*
     f[b[3]*c[3]])/31381059609 - 
  (7702054912*f[a[1]*b[3]*c[1]]*f[a[1]*b[1]*c[3]]*f[b[3]*c[3]])/
   31381059609 + (176742400*f[a[2]*b[1]*c[2]]*f[a[1]*b[1]*c[3]]*
     f[b[3]*c[3]])/31381059609 + 
  (3389672960*f[a[1]*b[2]*c[2]]*f[a[1]*b[1]*c[3]]*f[b[3]*c[3]])/
   31381059609 + (25600*f[a[1]*b[1]*c[3]]^2*f[b[3]*c[3]])/1594323 - 
  (1732000*f[1]*f[a[1]^2*b[1]*c[3]]*f[b[3]*c[3]])/43046721 + 
  (62005600*f[a[1]^2]*f[a[1]^2*b[1]*c[3]]*f[b[3]*c[3]])/387420489 - 
  (1816868000*f[a[1]^4]*f[a[1]^2*b[1]*c[3]]*f[b[3]*c[3]])/10460353203 + 
  (67591300000*f[a[1]^6]*f[a[1]^2*b[1]*c[3]]*f[b[3]*c[3]])/
   282429536481 + (2702612800*f[a[2]^2]*f[a[1]^2*b[1]*c[3]]*
     f[b[3]*c[3]])/31381059609 + 
  (320766400*f[a[1]^2*a[2]^2]*f[a[1]^2*b[1]*c[3]]*f[b[3]*c[3]])/
   847288609443 - (77593600*f[a[1]*a[3]]*f[a[1]^2*b[1]*c[3]]*
     f[b[3]*c[3]])/3486784401 + 
  (6839321600*f[a[1]^3*a[3]]*f[a[1]^2*b[1]*c[3]]*f[b[3]*c[3]])/
   94143178827 + (2078746400*f[a[3]^2]*f[a[1]^2*b[1]*c[3]]*
     f[b[3]*c[3]])/282429536481 - 
  (30505369600*f[a[2]*a[4]]*f[a[1]^2*b[1]*c[3]]*f[b[3]*c[3]])/
   847288609443 + (5043584000*f[a[1]*a[5]]*f[a[1]^2*b[1]*c[3]]*
     f[b[3]*c[3]])/282429536481 - 
  (9992800*f[b[1]*c[1]]*f[a[1]^2*b[1]*c[3]]*f[b[3]*c[3]])/1162261467 + 
  (357742240*f[a[1]^2*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]]*f[b[3]*c[3]])/
   10460353203 - (10482447200*f[a[1]^4*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]]*
     f[b[3]*c[3]])/282429536481 + 
  (15592765120*f[a[2]^2*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]]*f[b[3]*c[3]])/
   847288609443 - (447677440*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]]*
     f[b[3]*c[3]])/94143178827 + 
  (114467274752*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]^2*b[1]*c[3]]*
     f[b[3]*c[3]])/847288609443 + 
  (2406892160*f[b[3]*c[1]]*f[a[1]^2*b[1]*c[3]]*f[b[3]*c[3]])/
   31381059609 - (86166739328*f[a[1]^2*b[3]*c[1]]*f[a[1]^2*b[1]*c[3]]*
     f[b[3]*c[3]])/282429536481 - 
  (3777155200*f[b[5]*c[1]]*f[a[1]^2*b[1]*c[3]]*f[b[3]*c[3]])/
   847288609443 + (5655756800*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[1]^2*b[1]*c[3]]*f[b[3]*c[3]])/847288609443 - 
  (1059272800*f[b[2]*c[2]]*f[a[1]^2*b[1]*c[3]]*f[b[3]*c[3]])/
   31381059609 + (37921966240*f[a[1]^2*b[2]*c[2]]*f[a[1]^2*b[1]*c[3]]*
     f[b[3]*c[3]])/282429536481 - 
  (17785792000*f[b[4]*c[2]]*f[a[1]^2*b[1]*c[3]]*f[b[3]*c[3]])/
   282429536481 - (8339434400*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[1]^2*b[1]*c[3]]*f[b[3]*c[3]])/847288609443 - 
  (16000*f[b[1]*c[3]]*f[a[1]^2*b[1]*c[3]]*f[b[3]*c[3]])/1594323 + 
  (286400*f[a[1]^2*b[1]*c[3]]^2*f[b[3]*c[3]])/14348907 - 
  (88678400*f[a[2]]*f[a[2]*b[1]*c[3]]*f[b[3]*c[3]])/387420489 + 
  (443392000*f[a[1]^2*a[2]]*f[a[2]*b[1]*c[3]]*f[b[3]*c[3]])/
   10460353203 - (2216960000*f[a[1]^4*a[2]]*f[a[2]*b[1]*c[3]]*
     f[b[3]*c[3]])/94143178827 - 
  (2305638400*f[a[2]^3]*f[a[2]*b[1]*c[3]]*f[b[3]*c[3]])/31381059609 - 
  (2837708800*f[a[1]*a[2]*a[3]]*f[a[2]*b[1]*c[3]]*f[b[3]*c[3]])/
   94143178827 + (354713600*f[a[4]]*f[a[2]*b[1]*c[3]]*f[b[3]*c[3]])/
   31381059609 - (1773568000*f[a[1]^2*a[4]]*f[a[2]*b[1]*c[3]]*
     f[b[3]*c[3]])/847288609443 - 
  (975462400*f[a[6]]*f[a[2]*b[1]*c[3]]*f[b[3]*c[3]])/94143178827 - 
  (511631360*f[a[2]*b[1]*c[1]]*f[a[2]*b[1]*c[3]]*f[b[3]*c[3]])/
   10460353203 + (2558156800*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[2]*b[1]*c[3]]*
     f[b[3]*c[3]])/282429536481 + 
  (2046525440*f[a[4]*b[1]*c[1]]*f[a[2]*b[1]*c[3]]*f[b[3]*c[3]])/
   847288609443 - (3577102336*f[a[1]*b[2]*c[1]]*f[a[2]*b[1]*c[3]]*
     f[b[3]*c[3]])/31381059609 + 
  (17885511680*f[a[1]^3*b[2]*c[1]]*f[a[2]*b[1]*c[3]]*f[b[3]*c[3]])/
   282429536481 - (17885511680*f[a[3]*b[2]*c[1]]*f[a[2]*b[1]*c[3]]*
     f[b[3]*c[3]])/94143178827 + 
  (123232878592*f[a[2]*b[3]*c[1]]*f[a[2]*b[1]*c[3]]*f[b[3]*c[3]])/
   282429536481 - (156262891520*f[a[1]*b[4]*c[1]]*f[a[2]*b[1]*c[3]]*
     f[b[3]*c[3]])/847288609443 - 
  (176742400*f[a[1]*b[1]*c[2]]*f[a[2]*b[1]*c[3]]*f[b[3]*c[3]])/
   31381059609 + (883712000*f[a[1]^3*b[1]*c[2]]*f[a[2]*b[1]*c[3]]*
     f[b[3]*c[3]])/282429536481 - 
  (883712000*f[a[3]*b[1]*c[2]]*f[a[2]*b[1]*c[3]]*f[b[3]*c[3]])/
   94143178827 - (54234767360*f[a[2]*b[2]*c[2]]*f[a[2]*b[1]*c[3]]*
     f[b[3]*c[3]])/282429536481 + 
  (38847979520*f[a[1]*b[3]*c[2]]*f[a[2]*b[1]*c[3]]*f[b[3]*c[3]])/
   847288609443 - (409600*f[a[2]*b[1]*c[3]]^2*f[b[3]*c[3]])/14348907 - 
  (596277760*f[b[2]*c[1]]*f[b[2]*c[3]]*f[b[3]*c[3]])/1162261467 + 
  (2981388800*f[a[1]^2*b[2]*c[1]]*f[b[2]*c[3]]*f[b[3]*c[3]])/
   31381059609 - (26047923200*f[b[4]*c[1]]*f[b[2]*c[3]]*f[b[3]*c[3]])/
   31381059609 - (31079680*f[b[1]*c[2]]*f[b[2]*c[3]]*f[b[3]*c[3]])/
   387420489 + (155398400*f[a[1]^2*b[1]*c[2]]*f[b[2]*c[3]]*
     f[b[3]*c[3]])/10460353203 + 
  (6831313664*f[b[3]*c[2]]*f[b[2]*c[3]]*f[b[3]*c[3]])/10460353203 + 
  (92416*f[b[2]*c[3]]^2*f[b[3]*c[3]])/531441 + 
  (342114304*f[a[2]]*f[a[1]*b[2]*c[3]]*f[b[3]*c[3]])/1162261467 - 
  (1710571520*f[a[1]^2*a[2]]*f[a[1]*b[2]*c[3]]*f[b[3]*c[3]])/
   31381059609 + (8552857600*f[a[1]^4*a[2]]*f[a[1]*b[2]*c[3]]*
     f[b[3]*c[3]])/282429536481 + 
  (8894971904*f[a[2]^3]*f[a[1]*b[2]*c[3]]*f[b[3]*c[3]])/94143178827 + 
  (10947657728*f[a[1]*a[2]*a[3]]*f[a[1]*b[2]*c[3]]*f[b[3]*c[3]])/
   282429536481 - (1368457216*f[a[4]]*f[a[1]*b[2]*c[3]]*f[b[3]*c[3]])/
   10460353203 + (6842286080*f[a[1]^2*a[4]]*f[a[1]*b[2]*c[3]]*
     f[b[3]*c[3]])/282429536481 + 
  (8552857600*f[a[6]]*f[a[1]*b[2]*c[3]]*f[b[3]*c[3]])/94143178827 + 
  (4490297344*f[a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[3]]*f[b[3]*c[3]])/
   31381059609 - (22451486720*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*b[2]*c[3]]*f[b[3]*c[3]])/847288609443 - 
  (17961189376*f[a[4]*b[1]*c[1]]*f[a[1]*b[2]*c[3]]*f[b[3]*c[3]])/
   282429536481 - (9540444160*f[a[1]*b[2]*c[1]]*f[a[1]*b[2]*c[3]]*
     f[b[3]*c[3]])/31381059609 + 
  (47702220800*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[2]*c[3]]*f[b[3]*c[3]])/
   282429536481 + (9540444160*f[a[3]*b[2]*c[1]]*f[a[1]*b[2]*c[3]]*
     f[b[3]*c[3]])/282429536481 + 
  (77695959040*f[a[2]*b[3]*c[1]]*f[a[1]*b[2]*c[3]]*f[b[3]*c[3]])/
   847288609443 - (416766771200*f[a[1]*b[4]*c[1]]*f[a[1]*b[2]*c[3]]*
     f[b[3]*c[3]])/847288609443 - 
  (497274880*f[a[1]*b[1]*c[2]]*f[a[1]*b[2]*c[3]]*f[b[3]*c[3]])/
   10460353203 + (2486374400*f[a[1]^3*b[1]*c[2]]*f[a[1]*b[2]*c[3]]*
     f[b[3]*c[3]])/94143178827 + 
  (497274880*f[a[3]*b[1]*c[2]]*f[a[1]*b[2]*c[3]]*f[b[3]*c[3]])/
   94143178827 - (12594102272*f[a[2]*b[2]*c[2]]*f[a[1]*b[2]*c[3]]*
     f[b[3]*c[3]])/94143178827 + 
  (109301018624*f[a[1]*b[3]*c[2]]*f[a[1]*b[2]*c[3]]*f[b[3]*c[3]])/
   282429536481 + (1556480*f[a[2]*b[1]*c[3]]*f[a[1]*b[2]*c[3]]*
     f[b[3]*c[3]])/43046721 + 
  (1478656*f[a[1]*b[2]*c[3]]^2*f[b[3]*c[3]])/14348907 - 
  (24297821*f[1]*f[b[3]*c[3]]^2)/43046721 + 
  (121489105*f[a[1]^2]*f[b[3]*c[3]]^2)/1162261467 - 
  (607445525*f[a[1]^4]*f[b[3]*c[3]]^2)/10460353203 + 
  (15186138125*f[a[1]^6]*f[b[3]*c[3]]^2)/282429536481 - 
  (631743346*f[a[2]^2]*f[b[3]*c[3]]^2)/10460353203 + 
  (3158716730*f[a[1]^2*a[2]^2]*f[b[3]*c[3]]^2)/282429536481 - 
  (777530272*f[a[1]*a[3]]*f[b[3]*c[3]]^2)/10460353203 + 
  (3887651360*f[a[1]^3*a[3]]*f[b[3]*c[3]]^2)/94143178827 + 
  (21697954153*f[a[3]^2]*f[b[3]*c[3]]^2)/282429536481 + 
  (49761937408*f[a[2]*a[4]]*f[b[3]*c[3]]^2)/847288609443 + 
  (50539467680*f[a[1]*a[5]]*f[b[3]*c[3]]^2)/847288609443 - 
  (245858431*f[b[1]*c[1]]*f[b[3]*c[3]]^2)/1162261467 + 
  (1229292155*f[a[1]^2*b[1]*c[1]]*f[b[3]*c[3]]^2)/31381059609 - 
  (6146460775*f[a[1]^4*b[1]*c[1]]*f[b[3]*c[3]]^2)/282429536481 - 
  (6392319206*f[a[2]^2*b[1]*c[1]]*f[b[3]*c[3]]^2)/282429536481 - 
  (7867469792*f[a[1]*a[3]*b[1]*c[1]]*f[b[3]*c[3]]^2)/282429536481 + 
  (178480*f[b[3]*c[1]]*f[b[3]*c[3]]^2)/531441 - 
  (892400*f[a[1]^2*b[3]*c[1]]*f[b[3]*c[3]]^2)/14348907 - 
  (123683248880*f[b[5]*c[1]]*f[b[3]*c[3]]^2)/847288609443 - 
  (2557849369*f[b[2]*c[2]]*f[b[3]*c[3]]^2)/10460353203 + 
  (12789246845*f[a[1]^2*b[2]*c[2]]*f[b[3]*c[3]]^2)/282429536481 - 
  (434590978880*f[b[4]*c[2]]*f[b[3]*c[3]]^2)/847288609443 - 
  (25881696659*f[b[1]*b[2]*c[1]*c[2]]*f[b[3]*c[3]]^2)/282429536481 - 
  (178480*f[b[1]*c[3]]*f[b[3]*c[3]]^2)/1594323 + 
  (892400*f[a[1]^2*b[1]*c[3]]*f[b[3]*c[3]]^2)/43046721 + 
  (4977361*f[b[3]*c[3]]^3)/43046721 + 
  (106496*f[a[2]]*f[a[1]*b[1]*c[1]]*f[b[1]*c[4]])/1594323 - 
  (532480*f[a[1]^2*a[2]]*f[a[1]*b[1]*c[1]]*f[b[1]*c[4]])/43046721 + 
  (2662400*f[a[1]^4*a[2]]*f[a[1]*b[1]*c[1]]*f[b[1]*c[4]])/387420489 + 
  (2768896*f[a[2]^3]*f[a[1]*b[1]*c[1]]*f[b[1]*c[4]])/129140163 + 
  (3407872*f[a[1]*a[2]*a[3]]*f[a[1]*b[1]*c[1]]*f[b[1]*c[4]])/
   387420489 - (425984*f[a[4]]*f[a[1]*b[1]*c[1]]*f[b[1]*c[4]])/
   14348907 + (2129920*f[a[1]^2*a[4]]*f[a[1]*b[1]*c[1]]*f[b[1]*c[4]])/
   387420489 + (2662400*f[a[6]]*f[a[1]*b[1]*c[1]]*f[b[1]*c[4]])/
   129140163 + (3407872*f[a[1]*a[2]]*f[a[1]^2*b[1]*c[1]]*f[b[1]*c[4]])/
   43046721 - (17039360*f[a[1]^3*a[2]]*f[a[1]^2*b[1]*c[1]]*
     f[b[1]*c[4]])/387420489 - 
  (3407872*f[a[2]*a[3]]*f[a[1]^2*b[1]*c[1]]*f[b[1]*c[4]])/387420489 - 
  (13631488*f[a[1]*a[4]]*f[a[1]^2*b[1]*c[1]]*f[b[1]*c[4]])/387420489 - 
  (532480*f[a[2]]*f[a[1]^3*b[1]*c[1]]*f[b[1]*c[4]])/14348907 + 
  (19062784*f[a[1]^2*a[2]]*f[a[1]^3*b[1]*c[1]]*f[b[1]*c[4]])/
   129140163 - (558571520*f[a[1]^4*a[2]]*f[a[1]^3*b[1]*c[1]]*
     f[b[1]*c[4]])/3486784401 + 
  (747814912*f[a[2]^3]*f[a[1]^3*b[1]*c[1]]*f[b[1]*c[4]])/10460353203 - 
  (23855104*f[a[1]*a[2]*a[3]]*f[a[1]^3*b[1]*c[1]]*f[b[1]*c[4]])/
   1162261467 + (2129920*f[a[4]]*f[a[1]^3*b[1]*c[1]]*f[b[1]*c[4]])/
   129140163 - (76251136*f[a[1]^2*a[4]]*f[a[1]^3*b[1]*c[1]]*
     f[b[1]*c[4]])/1162261467 - 
  (13312000*f[a[6]]*f[a[1]^3*b[1]*c[1]]*f[b[1]*c[4]])/1162261467 - 
  (34078720*f[a[1]*a[2]]*f[a[1]^4*b[1]*c[1]]*f[b[1]*c[4]])/387420489 + 
  (4000841728*f[a[1]^3*a[2]]*f[a[1]^4*b[1]*c[1]]*f[b[1]*c[4]])/
   10460353203 + (34078720*f[a[2]*a[3]]*f[a[1]^4*b[1]*c[1]]*
     f[b[1]*c[4]])/3486784401 + 
  (136314880*f[a[1]*a[4]]*f[a[1]^4*b[1]*c[1]]*f[b[1]*c[4]])/
   3486784401 - (106496*f[a[1]]*f[a[2]*b[1]*c[1]]*f[b[1]*c[4]])/
   1594323 + (532480*f[a[1]^3]*f[a[2]*b[1]*c[1]]*f[b[1]*c[4]])/
   14348907 - (13312000*f[a[1]^5]*f[a[2]*b[1]*c[1]]*f[b[1]*c[4]])/
   387420489 - (2768896*f[a[1]*a[2]^2]*f[a[2]*b[1]*c[1]]*f[b[1]*c[4]])/
   387420489 - (532480*f[a[3]]*f[a[2]*b[1]*c[1]]*f[b[1]*c[4]])/
   4782969 + (1171456*f[a[1]^2*a[3]]*f[a[2]*b[1]*c[1]]*f[b[1]*c[4]])/
   387420489 + (5857280*f[a[5]]*f[a[2]*b[1]*c[1]]*f[b[1]*c[4]])/
   129140163 - (3407872*f[a[1]^2]*f[a[1]*a[2]*b[1]*c[1]]*f[b[1]*c[4]])/
   43046721 + (34078720*f[a[1]^4]*f[a[1]*a[2]*b[1]*c[1]]*f[b[1]*c[4]])/
   387420489 - (425984000*f[a[1]^6]*f[a[1]*a[2]*b[1]*c[1]]*
     f[b[1]*c[4]])/3486784401 - 
  (54525952*f[a[2]^2]*f[a[1]*a[2]*b[1]*c[1]]*f[b[1]*c[4]])/387420489 + 
  (6815744*f[a[1]^2*a[2]^2]*f[a[1]*a[2]*b[1]*c[1]]*f[b[1]*c[4]])/
   387420489 - (23855104*f[a[1]*a[3]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[b[1]*c[4]])/387420489 + 
  (3407872*f[a[1]^3*a[3]]*f[a[1]*a[2]*b[1]*c[1]]*f[b[1]*c[4]])/
   1162261467 + (17039360*f[a[3]^2]*f[a[1]*a[2]*b[1]*c[1]]*
     f[b[1]*c[4]])/1162261467 + 
  (1090519040*f[a[2]*a[4]]*f[a[1]*a[2]*b[1]*c[1]]*f[b[1]*c[4]])/
   31381059609 + (732692480*f[a[1]*a[5]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[b[1]*c[4]])/31381059609 + 
  (532480*f[a[1]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[1]*c[4]])/43046721 - 
  (19062784*f[a[1]^3]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[1]*c[4]])/
   129140163 + (2792857600*f[a[1]^5]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[b[1]*c[4]])/10460353203 - 
  (6065373184*f[a[1]*a[2]^2]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[1]*c[4]])/
   31381059609 + (2662400*f[a[3]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[b[1]*c[4]])/129140163 - 
  (238231552*f[a[1]^2*a[3]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[1]*c[4]])/
   3486784401 - (29286400*f[a[5]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[b[1]*c[4]])/3486784401 + 
  (54525952*f[a[1]*a[2]]*f[a[2]^2*b[1]*c[1]]*f[b[1]*c[4]])/387420489 - 
  (272629760*f[a[1]^3*a[2]]*f[a[2]^2*b[1]*c[1]]*f[b[1]*c[4]])/
   3486784401 + (272629760*f[a[2]*a[3]]*f[a[2]^2*b[1]*c[1]]*
     f[b[1]*c[4]])/1162261467 - 
  (218103808*f[a[1]*a[4]]*f[a[2]^2*b[1]*c[1]]*f[b[1]*c[4]])/
   31381059609 + (532480*f[a[2]]*f[a[3]*b[1]*c[1]]*f[b[1]*c[4]])/
   4782969 - (2662400*f[a[1]^2*a[2]]*f[a[3]*b[1]*c[1]]*f[b[1]*c[4]])/
   129140163 + (13312000*f[a[1]^4*a[2]]*f[a[3]*b[1]*c[1]]*
     f[b[1]*c[4]])/1162261467 + 
  (13844480*f[a[2]^3]*f[a[3]*b[1]*c[1]]*f[b[1]*c[4]])/387420489 + 
  (17039360*f[a[1]*a[2]*a[3]]*f[a[3]*b[1]*c[1]]*f[b[1]*c[4]])/
   1162261467 + (20873216*f[a[4]]*f[a[3]*b[1]*c[1]]*f[b[1]*c[4]])/
   129140163 - (104366080*f[a[1]^2*a[4]]*f[a[3]*b[1]*c[1]]*
     f[b[1]*c[4]])/3486784401 - 
  (676569088*f[a[6]]*f[a[3]*b[1]*c[1]]*f[b[1]*c[4]])/10460353203 + 
  (23855104*f[a[1]*a[2]]*f[a[1]*a[3]*b[1]*c[1]]*f[b[1]*c[4]])/
   387420489 - (119275520*f[a[1]^3*a[2]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[b[1]*c[4]])/3486784401 + 
  (1018953728*f[a[2]*a[3]]*f[a[1]*a[3]*b[1]*c[1]]*f[b[1]*c[4]])/
   10460353203 + (340787200*f[a[1]*a[4]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[b[1]*c[4]])/3486784401 + 
  (425984*f[a[1]]*f[a[4]*b[1]*c[1]]*f[b[1]*c[4]])/14348907 - 
  (2129920*f[a[1]^3]*f[a[4]*b[1]*c[1]]*f[b[1]*c[4]])/129140163 + 
  (53248000*f[a[1]^5]*f[a[4]*b[1]*c[1]]*f[b[1]*c[4]])/3486784401 + 
  (11075584*f[a[1]*a[2]^2]*f[a[4]*b[1]*c[1]]*f[b[1]*c[4]])/3486784401 - 
  (20873216*f[a[3]]*f[a[4]*b[1]*c[1]]*f[b[1]*c[4]])/129140163 + 
  (43876352*f[a[1]^2*a[3]]*f[a[4]*b[1]*c[1]]*f[b[1]*c[4]])/1162261467 - 
  (6494126080*f[a[5]]*f[a[4]*b[1]*c[1]]*f[b[1]*c[4]])/31381059609 - 
  (6400*f[1]*f[b[2]*c[1]]*f[b[1]*c[4]])/177147 + 
  (32000*f[a[1]^2]*f[b[2]*c[1]]*f[b[1]*c[4]])/4782969 - 
  (160000*f[a[1]^4]*f[b[2]*c[1]]*f[b[1]*c[4]])/43046721 + 
  (4000000*f[a[1]^6]*f[b[2]*c[1]]*f[b[1]*c[4]])/1162261467 - 
  (166400*f[a[2]^2]*f[b[2]*c[1]]*f[b[1]*c[4]])/43046721 + 
  (832000*f[a[1]^2*a[2]^2]*f[b[2]*c[1]]*f[b[1]*c[4]])/1162261467 - 
  (204800*f[a[1]*a[3]]*f[b[2]*c[1]]*f[b[1]*c[4]])/43046721 + 
  (1024000*f[a[1]^3*a[3]]*f[b[2]*c[1]]*f[b[1]*c[4]])/387420489 + 
  (5715200*f[a[3]^2]*f[b[2]*c[1]]*f[b[1]*c[4]])/1162261467 + 
  (13107200*f[a[2]*a[4]]*f[b[2]*c[1]]*f[b[1]*c[4]])/3486784401 + 
  (13312000*f[a[1]*a[5]]*f[b[2]*c[1]]*f[b[1]*c[4]])/3486784401 - 
  (139520*f[b[1]*c[1]]*f[b[2]*c[1]]*f[b[1]*c[4]])/1594323 + 
  (697600*f[a[1]^2*b[1]*c[1]]*f[b[2]*c[1]]*f[b[1]*c[4]])/43046721 - 
  (3488000*f[a[1]^4*b[1]*c[1]]*f[b[2]*c[1]]*f[b[1]*c[4]])/387420489 - 
  (3627520*f[a[2]^2*b[1]*c[1]]*f[b[2]*c[1]]*f[b[1]*c[4]])/387420489 - 
  (4464640*f[a[1]*a[3]*b[1]*c[1]]*f[b[2]*c[1]]*f[b[1]*c[4]])/
   387420489 - (102400*f[a[1]]*f[a[1]*b[2]*c[1]]*f[b[1]*c[4]])/
   4782969 + (512000*f[a[1]^3]*f[a[1]*b[2]*c[1]]*f[b[1]*c[4]])/
   43046721 - (12800000*f[a[1]^5]*f[a[1]*b[2]*c[1]]*f[b[1]*c[4]])/
   1162261467 - (2662400*f[a[1]*a[2]^2]*f[a[1]*b[2]*c[1]]*
     f[b[1]*c[4]])/1162261467 + 
  (102400*f[a[3]]*f[a[1]*b[2]*c[1]]*f[b[1]*c[4]])/43046721 - 
  (2355200*f[a[1]^2*a[3]]*f[a[1]*b[2]*c[1]]*f[b[1]*c[4]])/387420489 - 
  (6656000*f[a[5]]*f[a[1]*b[2]*c[1]]*f[b[1]*c[4]])/3486784401 - 
  (2232320*f[a[1]*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*f[b[1]*c[4]])/43046721 + 
  (11161600*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*f[b[1]*c[4]])/
   387420489 + (2232320*f[a[3]*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*
     f[b[1]*c[4]])/387420489 + 
  (32000*f[1]*f[a[1]^2*b[2]*c[1]]*f[b[1]*c[4]])/4782969 - 
  (1145600*f[a[1]^2]*f[a[1]^2*b[2]*c[1]]*f[b[1]*c[4]])/43046721 + 
  (33568000*f[a[1]^4]*f[a[1]^2*b[2]*c[1]]*f[b[1]*c[4]])/1162261467 - 
  (1248800000*f[a[1]^6]*f[a[1]^2*b[2]*c[1]]*f[b[1]*c[4]])/31381059609 - 
  (49932800*f[a[2]^2]*f[a[1]^2*b[2]*c[1]]*f[b[1]*c[4]])/3486784401 - 
  (5926400*f[a[1]^2*a[2]^2]*f[a[1]^2*b[2]*c[1]]*f[b[1]*c[4]])/
   94143178827 + (1433600*f[a[1]*a[3]]*f[a[1]^2*b[2]*c[1]]*
     f[b[1]*c[4]])/387420489 - 
  (126361600*f[a[1]^3*a[3]]*f[a[1]^2*b[2]*c[1]]*f[b[1]*c[4]])/
   10460353203 - (38406400*f[a[3]^2]*f[a[1]^2*b[2]*c[1]]*f[b[1]*c[4]])/
   31381059609 + (563609600*f[a[2]*a[4]]*f[a[1]^2*b[2]*c[1]]*
     f[b[1]*c[4]])/94143178827 - 
  (93184000*f[a[1]*a[5]]*f[a[1]^2*b[2]*c[1]]*f[b[1]*c[4]])/
   31381059609 + (697600*f[b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*
     f[b[1]*c[4]])/43046721 - 
  (24974080*f[a[1]^2*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*f[b[1]*c[4]])/
   387420489 + (731782400*f[a[1]^4*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*
     f[b[1]*c[4]])/10460353203 - 
  (1088535040*f[a[2]^2*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*f[b[1]*c[4]])/
   31381059609 + (31252480*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*
     f[b[1]*c[4]])/3486784401 + 
  (512000*f[a[1]]*f[a[1]^3*b[2]*c[1]]*f[b[1]*c[4]])/43046721 - 
  (60108800*f[a[1]^3]*f[a[1]^3*b[2]*c[1]]*f[b[1]*c[4]])/1162261467 + 
  (2813440000*f[a[1]^5]*f[a[1]^3*b[2]*c[1]]*f[b[1]*c[4]])/31381059609 - 
  (798924800*f[a[1]*a[2]^2]*f[a[1]^3*b[2]*c[1]]*f[b[1]*c[4]])/
   31381059609 - (512000*f[a[3]]*f[a[1]^3*b[2]*c[1]]*f[b[1]*c[4]])/
   387420489 + (87756800*f[a[1]^2*a[3]]*f[a[1]^3*b[2]*c[1]]*
     f[b[1]*c[4]])/10460353203 + 
  (33280000*f[a[5]]*f[a[1]^3*b[2]*c[1]]*f[b[1]*c[4]])/31381059609 + 
  (11161600*f[a[1]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*f[b[1]*c[4]])/
   387420489 - (1310371840*f[a[1]^3*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[b[1]*c[4]])/10460353203 - 
  (11161600*f[a[3]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*f[b[1]*c[4]])/
   3486784401 + (1638400*f[a[2]]*f[a[2]*b[2]*c[1]]*f[b[1]*c[4]])/
   43046721 - (8192000*f[a[1]^2*a[2]]*f[a[2]*b[2]*c[1]]*f[b[1]*c[4]])/
   1162261467 + (40960000*f[a[1]^4*a[2]]*f[a[2]*b[2]*c[1]]*
     f[b[1]*c[4]])/10460353203 + 
  (42598400*f[a[2]^3]*f[a[2]*b[2]*c[1]]*f[b[1]*c[4]])/3486784401 + 
  (52428800*f[a[1]*a[2]*a[3]]*f[a[2]*b[2]*c[1]]*f[b[1]*c[4]])/
   10460353203 - (6553600*f[a[4]]*f[a[2]*b[2]*c[1]]*f[b[1]*c[4]])/
   3486784401 + (32768000*f[a[1]^2*a[4]]*f[a[2]*b[2]*c[1]]*
     f[b[1]*c[4]])/94143178827 + 
  (18022400*f[a[6]]*f[a[2]*b[2]*c[1]]*f[b[1]*c[4]])/10460353203 + 
  (35717120*f[a[2]*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*f[b[1]*c[4]])/
   387420489 - (178585600*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*
     f[b[1]*c[4]])/10460353203 - 
  (142868480*f[a[4]*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*f[b[1]*c[4]])/
   31381059609 + (104857600*f[a[1]*a[2]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[1]*c[4]])/3486784401 - 
  (524288000*f[a[1]^3*a[2]]*f[a[1]*a[2]*b[2]*c[1]]*f[b[1]*c[4]])/
   31381059609 + (104857600*f[a[2]*a[3]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[1]*c[4]])/10460353203 - 
  (419430400*f[a[1]*a[4]]*f[a[1]*a[2]*b[2]*c[1]]*f[b[1]*c[4]])/
   94143178827 + (2285895680*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]]*f[b[1]*c[4]])/31381059609 + 
  (102400*f[a[1]]*f[a[3]*b[2]*c[1]]*f[b[1]*c[4]])/43046721 - 
  (512000*f[a[1]^3]*f[a[3]*b[2]*c[1]]*f[b[1]*c[4]])/387420489 + 
  (12800000*f[a[1]^5]*f[a[3]*b[2]*c[1]]*f[b[1]*c[4]])/10460353203 + 
  (2662400*f[a[1]*a[2]^2]*f[a[3]*b[2]*c[1]]*f[b[1]*c[4]])/10460353203 - 
  (65843200*f[a[3]]*f[a[3]*b[2]*c[1]]*f[b[1]*c[4]])/1162261467 + 
  (348876800*f[a[1]^2*a[3]]*f[a[3]*b[2]*c[1]]*f[b[1]*c[4]])/
   31381059609 + (24064000*f[a[5]]*f[a[3]*b[2]*c[1]]*f[b[1]*c[4]])/
   10460353203 + (2232320*f[a[1]*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[b[1]*c[4]])/387420489 - 
  (11161600*f[a[1]^3*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*f[b[1]*c[4]])/
   3486784401 - (1435381760*f[a[3]*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[b[1]*c[4]])/10460353203 + 
  (4505600*f[b[2]*c[1]]*f[b[3]*c[1]]*f[b[1]*c[4]])/14348907 - 
  (22528000*f[a[1]^2*b[2]*c[1]]*f[b[3]*c[1]]*f[b[1]*c[4]])/387420489 - 
  (3399680*f[a[2]]*f[a[1]*b[3]*c[1]]*f[b[1]*c[4]])/14348907 + 
  (16998400*f[a[1]^2*a[2]]*f[a[1]*b[3]*c[1]]*f[b[1]*c[4]])/387420489 - 
  (84992000*f[a[1]^4*a[2]]*f[a[1]*b[3]*c[1]]*f[b[1]*c[4]])/3486784401 - 
  (88391680*f[a[2]^3]*f[a[1]*b[3]*c[1]]*f[b[1]*c[4]])/1162261467 - 
  (108789760*f[a[1]*a[2]*a[3]]*f[a[1]*b[3]*c[1]]*f[b[1]*c[4]])/
   3486784401 + (13598720*f[a[4]]*f[a[1]*b[3]*c[1]]*f[b[1]*c[4]])/
   129140163 - (67993600*f[a[1]^2*a[4]]*f[a[1]*b[3]*c[1]]*
     f[b[1]*c[4]])/3486784401 - 
  (84992000*f[a[6]]*f[a[1]*b[3]*c[1]]*f[b[1]*c[4]])/1162261467 + 
  (286720*f[a[2]*b[1]*c[1]]*f[a[1]*b[3]*c[1]]*f[b[1]*c[4]])/43046721 - 
  (1433600*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[3]*c[1]]*f[b[1]*c[4]])/
   1162261467 - (1146880*f[a[4]*b[1]*c[1]]*f[a[1]*b[3]*c[1]]*
     f[b[1]*c[4]])/387420489 + 
  (72089600*f[a[1]*b[2]*c[1]]*f[a[1]*b[3]*c[1]]*f[b[1]*c[4]])/
   387420489 - (360448000*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[3]*c[1]]*
     f[b[1]*c[4]])/3486784401 - 
  (72089600*f[a[3]*b[2]*c[1]]*f[a[1]*b[3]*c[1]]*f[b[1]*c[4]])/
   3486784401 - (108789760*f[a[1]*a[2]]*f[a[1]^2*b[3]*c[1]]*
     f[b[1]*c[4]])/387420489 + 
  (543948800*f[a[1]^3*a[2]]*f[a[1]^2*b[3]*c[1]]*f[b[1]*c[4]])/
   3486784401 + (108789760*f[a[2]*a[3]]*f[a[1]^2*b[3]*c[1]]*
     f[b[1]*c[4]])/3486784401 + 
  (435159040*f[a[1]*a[4]]*f[a[1]^2*b[3]*c[1]]*f[b[1]*c[4]])/
   3486784401 + (9175040*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[b[1]*c[4]])/1162261467 - 
  (22528000*f[b[2]*c[1]]*f[a[1]^2*b[3]*c[1]]*f[b[1]*c[4]])/387420489 + 
  (806502400*f[a[1]^2*b[2]*c[1]]*f[a[1]^2*b[3]*c[1]]*f[b[1]*c[4]])/
   3486784401 + (3399680*f[a[1]]*f[a[2]*b[3]*c[1]]*f[b[1]*c[4]])/
   14348907 - (16998400*f[a[1]^3]*f[a[2]*b[3]*c[1]]*f[b[1]*c[4]])/
   129140163 + (424960000*f[a[1]^5]*f[a[2]*b[3]*c[1]]*f[b[1]*c[4]])/
   3486784401 + (88391680*f[a[1]*a[2]^2]*f[a[2]*b[3]*c[1]]*
     f[b[1]*c[4]])/3486784401 + 
  (16998400*f[a[3]]*f[a[2]*b[3]*c[1]]*f[b[1]*c[4]])/43046721 - 
  (37396480*f[a[1]^2*a[3]]*f[a[2]*b[3]*c[1]]*f[b[1]*c[4]])/3486784401 - 
  (186982400*f[a[5]]*f[a[2]*b[3]*c[1]]*f[b[1]*c[4]])/1162261467 - 
  (286720*f[a[1]*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*f[b[1]*c[4]])/43046721 + 
  (1433600*f[a[1]^3*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*f[b[1]*c[4]])/
   387420489 - (1433600*f[a[3]*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[b[1]*c[4]])/129140163 - 
  (1153433600*f[a[2]*b[2]*c[1]]*f[a[2]*b[3]*c[1]]*f[b[1]*c[4]])/
   3486784401 - (1351168*f[1]*f[b[4]*c[1]]*f[b[1]*c[4]])/1594323 + 
  (6755840*f[a[1]^2]*f[b[4]*c[1]]*f[b[1]*c[4]])/43046721 - 
  (33779200*f[a[1]^4]*f[b[4]*c[1]]*f[b[1]*c[4]])/387420489 + 
  (844480000*f[a[1]^6]*f[b[4]*c[1]]*f[b[1]*c[4]])/10460353203 - 
  (35130368*f[a[2]^2]*f[b[4]*c[1]]*f[b[1]*c[4]])/387420489 + 
  (175651840*f[a[1]^2*a[2]^2]*f[b[4]*c[1]]*f[b[1]*c[4]])/10460353203 - 
  (43237376*f[a[1]*a[3]]*f[b[4]*c[1]]*f[b[1]*c[4]])/387420489 + 
  (216186880*f[a[1]^3*a[3]]*f[b[4]*c[1]]*f[b[1]*c[4]])/3486784401 + 
  (1206593024*f[a[3]^2]*f[b[4]*c[1]]*f[b[1]*c[4]])/10460353203 + 
  (2767192064*f[a[2]*a[4]]*f[b[4]*c[1]]*f[b[1]*c[4]])/31381059609 + 
  (2810429440*f[a[1]*a[5]]*f[b[4]*c[1]]*f[b[1]*c[4]])/31381059609 - 
  (73216*f[b[1]*c[1]]*f[b[4]*c[1]]*f[b[1]*c[4]])/1594323 + 
  (366080*f[a[1]^2*b[1]*c[1]]*f[b[4]*c[1]]*f[b[1]*c[4]])/43046721 - 
  (1830400*f[a[1]^4*b[1]*c[1]]*f[b[4]*c[1]]*f[b[1]*c[4]])/387420489 - 
  (1903616*f[a[2]^2*b[1]*c[1]]*f[b[4]*c[1]]*f[b[1]*c[4]])/387420489 - 
  (2342912*f[a[1]*a[3]*b[1]*c[1]]*f[b[4]*c[1]]*f[b[1]*c[4]])/
   387420489 + (10649600*f[b[3]*c[1]]*f[b[4]*c[1]]*f[b[1]*c[4]])/
   43046721 - (53248000*f[a[1]^2*b[3]*c[1]]*f[b[4]*c[1]]*f[b[1]*c[4]])/
   1162261467 - (21618688*f[a[1]]*f[a[1]*b[4]*c[1]]*f[b[1]*c[4]])/
   43046721 + (108093440*f[a[1]^3]*f[a[1]*b[4]*c[1]]*f[b[1]*c[4]])/
   387420489 - (2702336000*f[a[1]^5]*f[a[1]*b[4]*c[1]]*f[b[1]*c[4]])/
   10460353203 - (562085888*f[a[1]*a[2]^2]*f[a[1]*b[4]*c[1]]*
     f[b[1]*c[4]])/10460353203 + 
  (21618688*f[a[3]]*f[a[1]*b[4]*c[1]]*f[b[1]*c[4]])/387420489 - 
  (497229824*f[a[1]^2*a[3]]*f[a[1]*b[4]*c[1]]*f[b[1]*c[4]])/
   3486784401 - (1405214720*f[a[5]]*f[a[1]*b[4]*c[1]]*f[b[1]*c[4]])/
   31381059609 - (1171456*f[a[1]*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[b[1]*c[4]])/43046721 + 
  (5857280*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*f[b[1]*c[4]])/
   387420489 + (1171456*f[a[3]*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[b[1]*c[4]])/387420489 + 
  (7088373760*f[a[2]*b[2]*c[1]]*f[a[1]*b[4]*c[1]]*f[b[1]*c[4]])/
   31381059609 + (170393600*f[a[1]*b[3]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[b[1]*c[4]])/1162261467 + 
  (1166950400*f[b[2]*c[1]]*f[b[5]*c[1]]*f[b[1]*c[4]])/3486784401 - 
  (5834752000*f[a[1]^2*b[2]*c[1]]*f[b[5]*c[1]]*f[b[1]*c[4]])/
   94143178827 - (17863639040*f[b[4]*c[1]]*f[b[5]*c[1]]*f[b[1]*c[4]])/
   31381059609 - (8320*f[1]*f[b[1]*c[2]]*f[b[1]*c[4]])/59049 + 
  (41600*f[a[1]^2]*f[b[1]*c[2]]*f[b[1]*c[4]])/1594323 - 
  (208000*f[a[1]^4]*f[b[1]*c[2]]*f[b[1]*c[4]])/14348907 + 
  (5200000*f[a[1]^6]*f[b[1]*c[2]]*f[b[1]*c[4]])/387420489 - 
  (216320*f[a[2]^2]*f[b[1]*c[2]]*f[b[1]*c[4]])/14348907 + 
  (1081600*f[a[1]^2*a[2]^2]*f[b[1]*c[2]]*f[b[1]*c[4]])/387420489 - 
  (266240*f[a[1]*a[3]]*f[b[1]*c[2]]*f[b[1]*c[4]])/14348907 + 
  (1331200*f[a[1]^3*a[3]]*f[b[1]*c[2]]*f[b[1]*c[4]])/129140163 + 
  (7429760*f[a[3]^2]*f[b[1]*c[2]]*f[b[1]*c[4]])/387420489 + 
  (17039360*f[a[2]*a[4]]*f[b[1]*c[2]]*f[b[1]*c[4]])/1162261467 + 
  (17305600*f[a[1]*a[5]]*f[b[1]*c[2]]*f[b[1]*c[4]])/1162261467 - 
  (8320*f[b[1]*c[1]]*f[b[1]*c[2]]*f[b[1]*c[4]])/59049 + 
  (41600*f[a[1]^2*b[1]*c[1]]*f[b[1]*c[2]]*f[b[1]*c[4]])/1594323 - 
  (208000*f[a[1]^4*b[1]*c[1]]*f[b[1]*c[2]]*f[b[1]*c[4]])/14348907 - 
  (216320*f[a[2]^2*b[1]*c[1]]*f[b[1]*c[2]]*f[b[1]*c[4]])/14348907 - 
  (266240*f[a[1]*a[3]*b[1]*c[1]]*f[b[1]*c[2]]*f[b[1]*c[4]])/14348907 + 
  (2031616*f[b[3]*c[1]]*f[b[1]*c[2]]*f[b[1]*c[4]])/14348907 - 
  (10158080*f[a[1]^2*b[3]*c[1]]*f[b[1]*c[2]]*f[b[1]*c[4]])/387420489 + 
  (546242560*f[b[5]*c[1]]*f[b[1]*c[2]]*f[b[1]*c[4]])/3486784401 - 
  (133120*f[a[1]]*f[a[1]*b[1]*c[2]]*f[b[1]*c[4]])/1594323 + 
  (665600*f[a[1]^3]*f[a[1]*b[1]*c[2]]*f[b[1]*c[4]])/14348907 - 
  (16640000*f[a[1]^5]*f[a[1]*b[1]*c[2]]*f[b[1]*c[4]])/387420489 - 
  (3461120*f[a[1]*a[2]^2]*f[a[1]*b[1]*c[2]]*f[b[1]*c[4]])/387420489 + 
  (133120*f[a[3]]*f[a[1]*b[1]*c[2]]*f[b[1]*c[4]])/14348907 - 
  (3061760*f[a[1]^2*a[3]]*f[a[1]*b[1]*c[2]]*f[b[1]*c[4]])/129140163 - 
  (8652800*f[a[5]]*f[a[1]*b[1]*c[2]]*f[b[1]*c[4]])/1162261467 - 
  (133120*f[a[1]*b[1]*c[1]]*f[a[1]*b[1]*c[2]]*f[b[1]*c[4]])/1594323 + 
  (665600*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[1]*c[2]]*f[b[1]*c[4]])/
   14348907 + (133120*f[a[3]*b[1]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[b[1]*c[4]])/14348907 - 
  (123731968*f[a[2]*b[2]*c[1]]*f[a[1]*b[1]*c[2]]*f[b[1]*c[4]])/
   3486784401 + (32505856*f[a[1]*b[3]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[b[1]*c[4]])/387420489 + 
  (41600*f[1]*f[a[1]^2*b[1]*c[2]]*f[b[1]*c[4]])/1594323 - 
  (1489280*f[a[1]^2]*f[a[1]^2*b[1]*c[2]]*f[b[1]*c[4]])/14348907 + 
  (43638400*f[a[1]^4]*f[a[1]^2*b[1]*c[2]]*f[b[1]*c[4]])/387420489 - 
  (1623440000*f[a[1]^6]*f[a[1]^2*b[1]*c[2]]*f[b[1]*c[4]])/10460353203 - 
  (64912640*f[a[2]^2]*f[a[1]^2*b[1]*c[2]]*f[b[1]*c[4]])/1162261467 - 
  (7704320*f[a[1]^2*a[2]^2]*f[a[1]^2*b[1]*c[2]]*f[b[1]*c[4]])/
   31381059609 + (1863680*f[a[1]*a[3]]*f[a[1]^2*b[1]*c[2]]*
     f[b[1]*c[4]])/129140163 - 
  (164270080*f[a[1]^3*a[3]]*f[a[1]^2*b[1]*c[2]]*f[b[1]*c[4]])/
   3486784401 - (49928320*f[a[3]^2]*f[a[1]^2*b[1]*c[2]]*f[b[1]*c[4]])/
   10460353203 + (732692480*f[a[2]*a[4]]*f[a[1]^2*b[1]*c[2]]*
     f[b[1]*c[4]])/31381059609 - 
  (121139200*f[a[1]*a[5]]*f[a[1]^2*b[1]*c[2]]*f[b[1]*c[4]])/
   10460353203 + (41600*f[b[1]*c[1]]*f[a[1]^2*b[1]*c[2]]*f[b[1]*c[4]])/
   1594323 - (1489280*f[a[1]^2*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]]*
     f[b[1]*c[4]])/14348907 + 
  (43638400*f[a[1]^4*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]]*f[b[1]*c[4]])/
   387420489 - (64912640*f[a[2]^2*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]]*
     f[b[1]*c[4]])/1162261467 + 
  (1863680*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]]*f[b[1]*c[4]])/
   129140163 - (3959422976*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]^2*b[1]*c[2]]*
     f[b[1]*c[4]])/94143178827 - 
  (10158080*f[b[3]*c[1]]*f[a[1]^2*b[1]*c[2]]*f[b[1]*c[4]])/387420489 + 
  (363659264*f[a[1]^2*b[3]*c[1]]*f[a[1]^2*b[1]*c[2]]*f[b[1]*c[4]])/
   3486784401 - (2731212800*f[b[5]*c[1]]*f[a[1]^2*b[1]*c[2]]*
     f[b[1]*c[4]])/94143178827 + 
  (665600*f[a[1]]*f[a[1]^3*b[1]*c[2]]*f[b[1]*c[4]])/14348907 - 
  (78141440*f[a[1]^3]*f[a[1]^3*b[1]*c[2]]*f[b[1]*c[4]])/387420489 + 
  (3657472000*f[a[1]^5]*f[a[1]^3*b[1]*c[2]]*f[b[1]*c[4]])/10460353203 - 
  (1038602240*f[a[1]*a[2]^2]*f[a[1]^3*b[1]*c[2]]*f[b[1]*c[4]])/
   10460353203 - (665600*f[a[3]]*f[a[1]^3*b[1]*c[2]]*f[b[1]*c[4]])/
   129140163 + (114083840*f[a[1]^2*a[3]]*f[a[1]^3*b[1]*c[2]]*
     f[b[1]*c[4]])/3486784401 + 
  (43264000*f[a[5]]*f[a[1]^3*b[1]*c[2]]*f[b[1]*c[4]])/10460353203 + 
  (665600*f[a[1]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*f[b[1]*c[4]])/
   14348907 - (78141440*f[a[1]^3*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[b[1]*c[4]])/387420489 - 
  (665600*f[a[3]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*f[b[1]*c[4]])/
   129140163 + (618659840*f[a[2]*b[2]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[b[1]*c[4]])/31381059609 - 
  (162529280*f[a[1]*b[3]*c[1]]*f[a[1]^3*b[1]*c[2]]*f[b[1]*c[4]])/
   3486784401 + (2129920*f[a[2]]*f[a[2]*b[1]*c[2]]*f[b[1]*c[4]])/
   14348907 - (10649600*f[a[1]^2*a[2]]*f[a[2]*b[1]*c[2]]*f[b[1]*c[4]])/
   387420489 + (53248000*f[a[1]^4*a[2]]*f[a[2]*b[1]*c[2]]*
     f[b[1]*c[4]])/3486784401 + 
  (55377920*f[a[2]^3]*f[a[2]*b[1]*c[2]]*f[b[1]*c[4]])/1162261467 + 
  (68157440*f[a[1]*a[2]*a[3]]*f[a[2]*b[1]*c[2]]*f[b[1]*c[4]])/
   3486784401 - (8519680*f[a[4]]*f[a[2]*b[1]*c[2]]*f[b[1]*c[4]])/
   1162261467 + (42598400*f[a[1]^2*a[4]]*f[a[2]*b[1]*c[2]]*
     f[b[1]*c[4]])/31381059609 + 
  (23429120*f[a[6]]*f[a[2]*b[1]*c[2]]*f[b[1]*c[4]])/3486784401 + 
  (2129920*f[a[2]*b[1]*c[1]]*f[a[2]*b[1]*c[2]]*f[b[1]*c[4]])/14348907 - 
  (10649600*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[2]*b[1]*c[2]]*f[b[1]*c[4]])/
   387420489 - (8519680*f[a[4]*b[1]*c[1]]*f[a[2]*b[1]*c[2]]*
     f[b[1]*c[4]])/1162261467 + 
  (123731968*f[a[1]*b[2]*c[1]]*f[a[2]*b[1]*c[2]]*f[b[1]*c[4]])/
   3486784401 - (618659840*f[a[1]^3*b[2]*c[1]]*f[a[2]*b[1]*c[2]]*
     f[b[1]*c[4]])/31381059609 + 
  (618659840*f[a[3]*b[2]*c[1]]*f[a[2]*b[1]*c[2]]*f[b[1]*c[4]])/
   10460353203 - (520093696*f[a[2]*b[3]*c[1]]*f[a[2]*b[1]*c[2]]*
     f[b[1]*c[4]])/3486784401 + 
  (3544186880*f[a[1]*b[4]*c[1]]*f[a[2]*b[1]*c[2]]*f[b[1]*c[4]])/
   31381059609 + (136314880*f[a[1]*a[2]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[1]*c[4]])/1162261467 - 
  (681574400*f[a[1]^3*a[2]]*f[a[1]*a[2]*b[1]*c[2]]*f[b[1]*c[4]])/
   10460353203 + (136314880*f[a[2]*a[3]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[1]*c[4]])/3486784401 - 
  (545259520*f[a[1]*a[4]]*f[a[1]*a[2]*b[1]*c[2]]*f[b[1]*c[4]])/
   31381059609 + (136314880*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]]*f[b[1]*c[4]])/1162261467 + 
  (3959422976*f[a[1]^2*b[2]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*f[b[1]*c[4]])/
   94143178827 + (133120*f[a[1]]*f[a[3]*b[1]*c[2]]*f[b[1]*c[4]])/
   14348907 - (665600*f[a[1]^3]*f[a[3]*b[1]*c[2]]*f[b[1]*c[4]])/
   129140163 + (16640000*f[a[1]^5]*f[a[3]*b[1]*c[2]]*f[b[1]*c[4]])/
   3486784401 + (3461120*f[a[1]*a[2]^2]*f[a[3]*b[1]*c[2]]*
     f[b[1]*c[4]])/3486784401 - 
  (85596160*f[a[3]]*f[a[3]*b[1]*c[2]]*f[b[1]*c[4]])/387420489 + 
  (453539840*f[a[1]^2*a[3]]*f[a[3]*b[1]*c[2]]*f[b[1]*c[4]])/
   10460353203 + (31283200*f[a[5]]*f[a[3]*b[1]*c[2]]*f[b[1]*c[4]])/
   3486784401 + (133120*f[a[1]*b[1]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[b[1]*c[4]])/14348907 - 
  (665600*f[a[1]^3*b[1]*c[1]]*f[a[3]*b[1]*c[2]]*f[b[1]*c[4]])/
   129140163 - (85596160*f[a[3]*b[1]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[b[1]*c[4]])/387420489 - 
  (618659840*f[a[2]*b[2]*c[1]]*f[a[3]*b[1]*c[2]]*f[b[1]*c[4]])/
   10460353203 - (32505856*f[a[1]*b[3]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[b[1]*c[4]])/3486784401 - 
  (4345600*f[b[2]*c[1]]*f[b[2]*c[2]]*f[b[1]*c[4]])/129140163 + 
  (21728000*f[a[1]^2*b[2]*c[1]]*f[b[2]*c[2]]*f[b[1]*c[4]])/3486784401 - 
  (1395471872*f[b[4]*c[1]]*f[b[2]*c[2]]*f[b[1]*c[4]])/3486784401 + 
  (8529280*f[b[1]*c[2]]*f[b[2]*c[2]]*f[b[1]*c[4]])/129140163 - 
  (42646400*f[a[1]^2*b[1]*c[2]]*f[b[2]*c[2]]*f[b[1]*c[4]])/3486784401 - 
  (2048000*f[a[2]]*f[a[1]*b[2]*c[2]]*f[b[1]*c[4]])/129140163 + 
  (10240000*f[a[1]^2*a[2]]*f[a[1]*b[2]*c[2]]*f[b[1]*c[4]])/3486784401 - 
  (51200000*f[a[1]^4*a[2]]*f[a[1]*b[2]*c[2]]*f[b[1]*c[4]])/
   31381059609 - (53248000*f[a[2]^3]*f[a[1]*b[2]*c[2]]*f[b[1]*c[4]])/
   10460353203 - (65536000*f[a[1]*a[2]*a[3]]*f[a[1]*b[2]*c[2]]*
     f[b[1]*c[4]])/31381059609 + 
  (8192000*f[a[4]]*f[a[1]*b[2]*c[2]]*f[b[1]*c[4]])/1162261467 - 
  (40960000*f[a[1]^2*a[4]]*f[a[1]*b[2]*c[2]]*f[b[1]*c[4]])/
   31381059609 - (51200000*f[a[6]]*f[a[1]*b[2]*c[2]]*f[b[1]*c[4]])/
   10460353203 - (148496384*f[a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[2]]*
     f[b[1]*c[4]])/3486784401 + 
  (742481920*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[2]]*f[b[1]*c[4]])/
   94143178827 + (593985536*f[a[4]*b[1]*c[1]]*f[a[1]*b[2]*c[2]]*
     f[b[1]*c[4]])/31381059609 - 
  (69529600*f[a[1]*b[2]*c[1]]*f[a[1]*b[2]*c[2]]*f[b[1]*c[4]])/
   3486784401 + (347648000*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[2]*c[2]]*
     f[b[1]*c[4]])/31381059609 + 
  (69529600*f[a[3]*b[2]*c[1]]*f[a[1]*b[2]*c[2]]*f[b[1]*c[4]])/
   31381059609 + (3475333120*f[a[2]*b[3]*c[1]]*f[a[1]*b[2]*c[2]]*
     f[b[1]*c[4]])/31381059609 - 
  (22327549952*f[a[1]*b[4]*c[1]]*f[a[1]*b[2]*c[2]]*f[b[1]*c[4]])/
   94143178827 + (136468480*f[a[1]*b[1]*c[2]]*f[a[1]*b[2]*c[2]]*
     f[b[1]*c[4]])/3486784401 - 
  (682342400*f[a[1]^3*b[1]*c[2]]*f[a[1]*b[2]*c[2]]*f[b[1]*c[4]])/
   31381059609 - (136468480*f[a[3]*b[1]*c[2]]*f[a[1]*b[2]*c[2]]*
     f[b[1]*c[4]])/31381059609 - 
  (65536000*f[a[1]*a[2]]*f[a[1]^2*b[2]*c[2]]*f[b[1]*c[4]])/3486784401 + 
  (327680000*f[a[1]^3*a[2]]*f[a[1]^2*b[2]*c[2]]*f[b[1]*c[4]])/
   31381059609 + (65536000*f[a[2]*a[3]]*f[a[1]^2*b[2]*c[2]]*
     f[b[1]*c[4]])/31381059609 + 
  (262144000*f[a[1]*a[4]]*f[a[1]^2*b[2]*c[2]]*f[b[1]*c[4]])/
   31381059609 - (4751884288*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]]*
     f[b[1]*c[4]])/94143178827 + 
  (21728000*f[b[2]*c[1]]*f[a[1]^2*b[2]*c[2]]*f[b[1]*c[4]])/3486784401 - 
  (777862400*f[a[1]^2*b[2]*c[1]]*f[a[1]^2*b[2]*c[2]]*f[b[1]*c[4]])/
   31381059609 + (6977359360*f[b[4]*c[1]]*f[a[1]^2*b[2]*c[2]]*
     f[b[1]*c[4]])/94143178827 - 
  (42646400*f[b[1]*c[2]]*f[a[1]^2*b[2]*c[2]]*f[b[1]*c[4]])/3486784401 + 
  (1526741120*f[a[1]^2*b[1]*c[2]]*f[a[1]^2*b[2]*c[2]]*f[b[1]*c[4]])/
   31381059609 + (2048000*f[a[1]]*f[a[2]*b[2]*c[2]]*f[b[1]*c[4]])/
   129140163 - (10240000*f[a[1]^3]*f[a[2]*b[2]*c[2]]*f[b[1]*c[4]])/
   1162261467 + (256000000*f[a[1]^5]*f[a[2]*b[2]*c[2]]*f[b[1]*c[4]])/
   31381059609 + (53248000*f[a[1]*a[2]^2]*f[a[2]*b[2]*c[2]]*
     f[b[1]*c[4]])/31381059609 + 
  (10240000*f[a[3]]*f[a[2]*b[2]*c[2]]*f[b[1]*c[4]])/387420489 - 
  (22528000*f[a[1]^2*a[3]]*f[a[2]*b[2]*c[2]]*f[b[1]*c[4]])/
   31381059609 - (112640000*f[a[5]]*f[a[2]*b[2]*c[2]]*f[b[1]*c[4]])/
   10460353203 + (148496384*f[a[1]*b[1]*c[1]]*f[a[2]*b[2]*c[2]]*
     f[b[1]*c[4]])/3486784401 - 
  (742481920*f[a[1]^3*b[1]*c[1]]*f[a[2]*b[2]*c[2]]*f[b[1]*c[4]])/
   31381059609 + (742481920*f[a[3]*b[1]*c[1]]*f[a[2]*b[2]*c[2]]*
     f[b[1]*c[4]])/10460353203 + 
  (1112473600*f[a[2]*b[2]*c[1]]*f[a[2]*b[2]*c[2]]*f[b[1]*c[4]])/
   31381059609 - (3475333120*f[a[1]*b[3]*c[1]]*f[a[2]*b[2]*c[2]]*
     f[b[1]*c[4]])/31381059609 - 
  (2183495680*f[a[2]*b[1]*c[2]]*f[a[2]*b[2]*c[2]]*f[b[1]*c[4]])/
   31381059609 - (265600*f[1]*f[b[3]*c[2]]*f[b[1]*c[4]])/531441 + 
  (1328000*f[a[1]^2]*f[b[3]*c[2]]*f[b[1]*c[4]])/14348907 - 
  (6640000*f[a[1]^4]*f[b[3]*c[2]]*f[b[1]*c[4]])/129140163 + 
  (166000000*f[a[1]^6]*f[b[3]*c[2]]*f[b[1]*c[4]])/3486784401 - 
  (6905600*f[a[2]^2]*f[b[3]*c[2]]*f[b[1]*c[4]])/129140163 + 
  (34528000*f[a[1]^2*a[2]^2]*f[b[3]*c[2]]*f[b[1]*c[4]])/3486784401 - 
  (8499200*f[a[1]*a[3]]*f[b[3]*c[2]]*f[b[1]*c[4]])/129140163 + 
  (42496000*f[a[1]^3*a[3]]*f[b[3]*c[2]]*f[b[1]*c[4]])/1162261467 + 
  (237180800*f[a[3]^2]*f[b[3]*c[2]]*f[b[1]*c[4]])/3486784401 + 
  (543948800*f[a[2]*a[4]]*f[b[3]*c[2]]*f[b[1]*c[4]])/10460353203 + 
  (552448000*f[a[1]*a[5]]*f[b[3]*c[2]]*f[b[1]*c[4]])/10460353203 - 
  (1571200*f[b[1]*c[1]]*f[b[3]*c[2]]*f[b[1]*c[4]])/4782969 + 
  (7856000*f[a[1]^2*b[1]*c[1]]*f[b[3]*c[2]]*f[b[1]*c[4]])/129140163 - 
  (39280000*f[a[1]^4*b[1]*c[1]]*f[b[3]*c[2]]*f[b[1]*c[4]])/1162261467 - 
  (40851200*f[a[2]^2*b[1]*c[1]]*f[b[3]*c[2]]*f[b[1]*c[4]])/1162261467 - 
  (50278400*f[a[1]*a[3]*b[1]*c[1]]*f[b[3]*c[2]]*f[b[1]*c[4]])/
   1162261467 - (13598720*f[b[3]*c[1]]*f[b[3]*c[2]]*f[b[1]*c[4]])/
   129140163 + (67993600*f[a[1]^2*b[3]*c[1]]*f[b[3]*c[2]]*
     f[b[1]*c[4]])/3486784401 - 
  (5112627200*f[b[5]*c[1]]*f[b[3]*c[2]]*f[b[1]*c[4]])/31381059609 + 
  (109244800*f[b[2]*c[2]]*f[b[3]*c[2]]*f[b[1]*c[4]])/387420489 - 
  (546224000*f[a[1]^2*b[2]*c[2]]*f[b[3]*c[2]]*f[b[1]*c[4]])/
   10460353203 - (4249600*f[a[1]]*f[a[1]*b[3]*c[2]]*f[b[1]*c[4]])/
   14348907 + (21248000*f[a[1]^3]*f[a[1]*b[3]*c[2]]*f[b[1]*c[4]])/
   129140163 - (531200000*f[a[1]^5]*f[a[1]*b[3]*c[2]]*f[b[1]*c[4]])/
   3486784401 - (110489600*f[a[1]*a[2]^2]*f[a[1]*b[3]*c[2]]*
     f[b[1]*c[4]])/3486784401 + 
  (4249600*f[a[3]]*f[a[1]*b[3]*c[2]]*f[b[1]*c[4]])/129140163 - 
  (97740800*f[a[1]^2*a[3]]*f[a[1]*b[3]*c[2]]*f[b[1]*c[4]])/1162261467 - 
  (276224000*f[a[5]]*f[a[1]*b[3]*c[2]]*f[b[1]*c[4]])/10460353203 - 
  (25139200*f[a[1]*b[1]*c[1]]*f[a[1]*b[3]*c[2]]*f[b[1]*c[4]])/
   129140163 + (125696000*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[3]*c[2]]*
     f[b[1]*c[4]])/1162261467 + 
  (25139200*f[a[3]*b[1]*c[1]]*f[a[1]*b[3]*c[2]]*f[b[1]*c[4]])/
   1162261467 - (3344957440*f[a[2]*b[2]*c[1]]*f[a[1]*b[3]*c[2]]*
     f[b[1]*c[4]])/31381059609 - 
  (217579520*f[a[1]*b[3]*c[1]]*f[a[1]*b[3]*c[2]]*f[b[1]*c[4]])/
   3486784401 - (922746880*f[a[2]*b[1]*c[2]]*f[a[1]*b[3]*c[2]]*
     f[b[1]*c[4]])/10460353203 + 
  (1747916800*f[a[1]*b[2]*c[2]]*f[a[1]*b[3]*c[2]]*f[b[1]*c[4]])/
   10460353203 - (1332281344*f[b[2]*c[1]]*f[b[4]*c[2]]*f[b[1]*c[4]])/
   3486784401 + (6661406720*f[a[1]^2*b[2]*c[1]]*f[b[4]*c[2]]*
     f[b[1]*c[4]])/94143178827 + 
  (1729495040*f[b[4]*c[1]]*f[b[4]*c[2]]*f[b[1]*c[4]])/10460353203 - 
  (276889600*f[b[1]*c[2]]*f[b[4]*c[2]]*f[b[1]*c[4]])/1162261467 + 
  (1384448000*f[a[1]^2*b[1]*c[2]]*f[b[4]*c[2]]*f[b[1]*c[4]])/
   31381059609 + (2868183040*f[b[3]*c[2]]*f[b[4]*c[2]]*f[b[1]*c[4]])/
   10460353203 - (94734080*f[b[2]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[b[1]*c[4]])/1162261467 + 
  (473670400*f[a[1]^2*b[2]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*f[b[1]*c[4]])/
   31381059609 - (5219902976*f[b[4]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[b[1]*c[4]])/31381059609 + 
  (8529280*f[b[1]*c[2]]*f[b[1]*b[2]*c[1]*c[2]]*f[b[1]*c[4]])/
   129140163 - (42646400*f[a[1]^2*b[1]*c[2]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[b[1]*c[4]])/3486784401 + 
  (2979129728*f[b[3]*c[2]]*f[b[1]*b[2]*c[1]*c[2]]*f[b[1]*c[4]])/
   31381059609 + (1261568*f[b[2]*c[1]]*f[b[1]*c[3]]*f[b[1]*c[4]])/
   43046721 - (6307840*f[a[1]^2*b[2]*c[1]]*f[b[1]*c[3]]*f[b[1]*c[4]])/
   1162261467 - (10649600*f[b[4]*c[1]]*f[b[1]*c[3]]*f[b[1]*c[4]])/
   129140163 - (105021440*f[b[3]*c[2]]*f[b[1]*c[3]]*f[b[1]*c[4]])/
   1162261467 - (532480*f[a[2]]*f[a[1]*b[1]*c[3]]*f[b[1]*c[4]])/
   43046721 + (2662400*f[a[1]^2*a[2]]*f[a[1]*b[1]*c[3]]*f[b[1]*c[4]])/
   1162261467 - (13312000*f[a[1]^4*a[2]]*f[a[1]*b[1]*c[3]]*
     f[b[1]*c[4]])/10460353203 - 
  (13844480*f[a[2]^3]*f[a[1]*b[1]*c[3]]*f[b[1]*c[4]])/3486784401 - 
  (17039360*f[a[1]*a[2]*a[3]]*f[a[1]*b[1]*c[3]]*f[b[1]*c[4]])/
   10460353203 + (2129920*f[a[4]]*f[a[1]*b[1]*c[3]]*f[b[1]*c[4]])/
   387420489 - (10649600*f[a[1]^2*a[4]]*f[a[1]*b[1]*c[3]]*
     f[b[1]*c[4]])/10460353203 - 
  (13312000*f[a[6]]*f[a[1]*b[1]*c[3]]*f[b[1]*c[4]])/3486784401 - 
  (532480*f[a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[3]]*f[b[1]*c[4]])/43046721 + 
  (2662400*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[3]]*f[b[1]*c[4]])/
   1162261467 + (2129920*f[a[4]*b[1]*c[1]]*f[a[1]*b[1]*c[3]]*
     f[b[1]*c[4]])/387420489 + 
  (20185088*f[a[1]*b[2]*c[1]]*f[a[1]*b[1]*c[3]]*f[b[1]*c[4]])/
   1162261467 - (100925440*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[1]*c[3]]*
     f[b[1]*c[4]])/10460353203 - 
  (20185088*f[a[3]*b[2]*c[1]]*f[a[1]*b[1]*c[3]]*f[b[1]*c[4]])/
   10460353203 + (2287992832*f[a[2]*b[3]*c[1]]*f[a[1]*b[1]*c[3]]*
     f[b[1]*c[4]])/31381059609 - 
  (170393600*f[a[1]*b[4]*c[1]]*f[a[1]*b[1]*c[3]]*f[b[1]*c[4]])/
   3486784401 - (1283891200*f[a[2]*b[2]*c[2]]*f[a[1]*b[1]*c[3]]*
     f[b[1]*c[4]])/94143178827 - 
  (1680343040*f[a[1]*b[3]*c[2]]*f[a[1]*b[1]*c[3]]*f[b[1]*c[4]])/
   31381059609 - (17039360*f[a[1]*a[2]]*f[a[1]^2*b[1]*c[3]]*
     f[b[1]*c[4]])/1162261467 + 
  (85196800*f[a[1]^3*a[2]]*f[a[1]^2*b[1]*c[3]]*f[b[1]*c[4]])/
   10460353203 + (17039360*f[a[2]*a[3]]*f[a[1]^2*b[1]*c[3]]*
     f[b[1]*c[4]])/10460353203 + 
  (68157440*f[a[1]*a[4]]*f[a[1]^2*b[1]*c[3]]*f[b[1]*c[4]])/
   10460353203 - (17039360*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]]*
     f[b[1]*c[4]])/1162261467 - 
  (6307840*f[b[2]*c[1]]*f[a[1]^2*b[1]*c[3]]*f[b[1]*c[4]])/1162261467 + 
  (225820672*f[a[1]^2*b[2]*c[1]]*f[a[1]^2*b[1]*c[3]]*f[b[1]*c[4]])/
   10460353203 + (53248000*f[b[4]*c[1]]*f[a[1]^2*b[1]*c[3]]*
     f[b[1]*c[4]])/3486784401 + 
  (525107200*f[b[3]*c[2]]*f[a[1]^2*b[1]*c[3]]*f[b[1]*c[4]])/
   31381059609 + (532480*f[a[1]]*f[a[2]*b[1]*c[3]]*f[b[1]*c[4]])/
   43046721 - (2662400*f[a[1]^3]*f[a[2]*b[1]*c[3]]*f[b[1]*c[4]])/
   387420489 + (66560000*f[a[1]^5]*f[a[2]*b[1]*c[3]]*f[b[1]*c[4]])/
   10460353203 + (13844480*f[a[1]*a[2]^2]*f[a[2]*b[1]*c[3]]*
     f[b[1]*c[4]])/10460353203 + 
  (2662400*f[a[3]]*f[a[2]*b[1]*c[3]]*f[b[1]*c[4]])/129140163 - 
  (5857280*f[a[1]^2*a[3]]*f[a[2]*b[1]*c[3]]*f[b[1]*c[4]])/10460353203 - 
  (29286400*f[a[5]]*f[a[2]*b[1]*c[3]]*f[b[1]*c[4]])/3486784401 + 
  (532480*f[a[1]*b[1]*c[1]]*f[a[2]*b[1]*c[3]]*f[b[1]*c[4]])/43046721 - 
  (2662400*f[a[1]^3*b[1]*c[1]]*f[a[2]*b[1]*c[3]]*f[b[1]*c[4]])/
   387420489 + (2662400*f[a[3]*b[1]*c[1]]*f[a[2]*b[1]*c[3]]*
     f[b[1]*c[4]])/129140163 - 
  (322961408*f[a[2]*b[2]*c[1]]*f[a[2]*b[1]*c[3]]*f[b[1]*c[4]])/
   10460353203 - (2287992832*f[a[1]*b[3]*c[1]]*f[a[2]*b[1]*c[3]]*
     f[b[1]*c[4]])/31381059609 + 
  (1283891200*f[a[1]*b[2]*c[2]]*f[a[2]*b[1]*c[3]]*f[b[1]*c[4]])/
   94143178827 + (32000*f[1]*f[b[2]*c[3]]*f[b[1]*c[4]])/4782969 - 
  (160000*f[a[1]^2]*f[b[2]*c[3]]*f[b[1]*c[4]])/129140163 + 
  (800000*f[a[1]^4]*f[b[2]*c[3]]*f[b[1]*c[4]])/1162261467 - 
  (20000000*f[a[1]^6]*f[b[2]*c[3]]*f[b[1]*c[4]])/31381059609 + 
  (832000*f[a[2]^2]*f[b[2]*c[3]]*f[b[1]*c[4]])/1162261467 - 
  (4160000*f[a[1]^2*a[2]^2]*f[b[2]*c[3]]*f[b[1]*c[4]])/31381059609 + 
  (1024000*f[a[1]*a[3]]*f[b[2]*c[3]]*f[b[1]*c[4]])/1162261467 - 
  (5120000*f[a[1]^3*a[3]]*f[b[2]*c[3]]*f[b[1]*c[4]])/10460353203 - 
  (28576000*f[a[3]^2]*f[b[2]*c[3]]*f[b[1]*c[4]])/31381059609 - 
  (65536000*f[a[2]*a[4]]*f[b[2]*c[3]]*f[b[1]*c[4]])/94143178827 - 
  (66560000*f[a[1]*a[5]]*f[b[2]*c[3]]*f[b[1]*c[4]])/94143178827 + 
  (697600*f[b[1]*c[1]]*f[b[2]*c[3]]*f[b[1]*c[4]])/43046721 - 
  (3488000*f[a[1]^2*b[1]*c[1]]*f[b[2]*c[3]]*f[b[1]*c[4]])/1162261467 + 
  (17440000*f[a[1]^4*b[1]*c[1]]*f[b[2]*c[3]]*f[b[1]*c[4]])/
   10460353203 + (18137600*f[a[2]^2*b[1]*c[1]]*f[b[2]*c[3]]*
     f[b[1]*c[4]])/10460353203 + 
  (22323200*f[a[1]*a[3]*b[1]*c[1]]*f[b[2]*c[3]]*f[b[1]*c[4]])/
   10460353203 - (255180800*f[b[3]*c[1]]*f[b[2]*c[3]]*f[b[1]*c[4]])/
   3486784401 + (1275904000*f[a[1]^2*b[3]*c[1]]*f[b[2]*c[3]]*
     f[b[1]*c[4]])/94143178827 - 
  (6096896000*f[b[5]*c[1]]*f[b[2]*c[3]]*f[b[1]*c[4]])/94143178827 + 
  (12704000*f[b[2]*c[2]]*f[b[2]*c[3]]*f[b[1]*c[4]])/1162261467 - 
  (63520000*f[a[1]^2*b[2]*c[2]]*f[b[2]*c[3]]*f[b[1]*c[4]])/
   31381059609 + (8135966720*f[b[4]*c[2]]*f[b[2]*c[3]]*f[b[1]*c[4]])/
   94143178827 + (3482380544*f[b[1]*b[2]*c[1]*c[2]]*f[b[2]*c[3]]*
     f[b[1]*c[4]])/94143178827 - 
  (6307840*f[b[1]*c[3]]*f[b[2]*c[3]]*f[b[1]*c[4]])/1162261467 + 
  (31539200*f[a[1]^2*b[1]*c[3]]*f[b[2]*c[3]]*f[b[1]*c[4]])/
   31381059609 + (512000*f[a[1]]*f[a[1]*b[2]*c[3]]*f[b[1]*c[4]])/
   129140163 - (2560000*f[a[1]^3]*f[a[1]*b[2]*c[3]]*f[b[1]*c[4]])/
   1162261467 + (64000000*f[a[1]^5]*f[a[1]*b[2]*c[3]]*f[b[1]*c[4]])/
   31381059609 + (13312000*f[a[1]*a[2]^2]*f[a[1]*b[2]*c[3]]*
     f[b[1]*c[4]])/31381059609 - 
  (512000*f[a[3]]*f[a[1]*b[2]*c[3]]*f[b[1]*c[4]])/1162261467 + 
  (11776000*f[a[1]^2*a[3]]*f[a[1]*b[2]*c[3]]*f[b[1]*c[4]])/
   10460353203 + (33280000*f[a[5]]*f[a[1]*b[2]*c[3]]*f[b[1]*c[4]])/
   94143178827 + (11161600*f[a[1]*b[1]*c[1]]*f[a[1]*b[2]*c[3]]*
     f[b[1]*c[4]])/1162261467 - 
  (55808000*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[2]*c[3]]*f[b[1]*c[4]])/
   10460353203 - (11161600*f[a[3]*b[1]*c[1]]*f[a[1]*b[2]*c[3]]*
     f[b[1]*c[4]])/10460353203 - 
  (209715200*f[a[2]*b[2]*c[1]]*f[a[1]*b[2]*c[3]]*f[b[1]*c[4]])/
   94143178827 - (4082892800*f[a[1]*b[3]*c[1]]*f[a[1]*b[2]*c[3]]*
     f[b[1]*c[4]])/94143178827 - 
  (618659840*f[a[2]*b[1]*c[2]]*f[a[1]*b[2]*c[3]]*f[b[1]*c[4]])/
   94143178827 + (203264000*f[a[1]*b[2]*c[2]]*f[a[1]*b[2]*c[3]]*
     f[b[1]*c[4]])/31381059609 - 
  (100925440*f[a[1]*b[1]*c[3]]*f[a[1]*b[2]*c[3]]*f[b[1]*c[4]])/
   31381059609 + (426415360*f[b[2]*c[1]]*f[b[3]*c[3]]*f[b[1]*c[4]])/
   3486784401 - (2132076800*f[a[1]^2*b[2]*c[1]]*f[b[3]*c[3]]*
     f[b[1]*c[4]])/94143178827 + 
  (4323501568*f[b[4]*c[1]]*f[b[3]*c[3]]*f[b[1]*c[4]])/31381059609 + 
  (3026560*f[b[1]*c[2]]*f[b[3]*c[3]]*f[b[1]*c[4]])/1162261467 - 
  (15132800*f[a[1]^2*b[1]*c[2]]*f[b[3]*c[3]]*f[b[1]*c[4]])/
   31381059609 - (3255990400*f[b[3]*c[2]]*f[b[3]*c[3]]*f[b[1]*c[4]])/
   10460353203 - (798073600*f[b[2]*c[3]]*f[b[3]*c[3]]*f[b[1]*c[4]])/
   31381059609 + (10816*f[1]*f[b[1]*c[4]]^2)/531441 - 
  (54080*f[a[1]^2]*f[b[1]*c[4]]^2)/14348907 + 
  (270400*f[a[1]^4]*f[b[1]*c[4]]^2)/129140163 - 
  (6760000*f[a[1]^6]*f[b[1]*c[4]]^2)/3486784401 + 
  (281216*f[a[2]^2]*f[b[1]*c[4]]^2)/129140163 - 
  (1406080*f[a[1]^2*a[2]^2]*f[b[1]*c[4]]^2)/3486784401 + 
  (346112*f[a[1]*a[3]]*f[b[1]*c[4]]^2)/129140163 - 
  (1730560*f[a[1]^3*a[3]]*f[b[1]*c[4]]^2)/1162261467 - 
  (9658688*f[a[3]^2]*f[b[1]*c[4]]^2)/3486784401 - 
  (22151168*f[a[2]*a[4]]*f[b[1]*c[4]]^2)/10460353203 - 
  (22497280*f[a[1]*a[5]]*f[b[1]*c[4]]^2)/10460353203 + 
  (10816*f[b[1]*c[1]]*f[b[1]*c[4]]^2)/531441 - 
  (54080*f[a[1]^2*b[1]*c[1]]*f[b[1]*c[4]]^2)/14348907 + 
  (270400*f[a[1]^4*b[1]*c[1]]*f[b[1]*c[4]]^2)/129140163 + 
  (281216*f[a[2]^2*b[1]*c[1]]*f[b[1]*c[4]]^2)/129140163 + 
  (346112*f[a[1]*a[3]*b[1]*c[1]]*f[b[1]*c[4]]^2)/129140163 - 
  (2129920*f[b[3]*c[1]]*f[b[1]*c[4]]^2)/43046721 + 
  (10649600*f[a[1]^2*b[3]*c[1]]*f[b[1]*c[4]]^2)/1162261467 - 
  (1403617280*f[b[5]*c[1]]*f[b[1]*c[4]]^2)/31381059609 + 
  (1478464*f[b[2]*c[2]]*f[b[1]*c[4]]^2)/1162261467 - 
  (7392320*f[a[1]^2*b[2]*c[2]]*f[b[1]*c[4]]^2)/31381059609 + 
  (719912960*f[b[4]*c[2]]*f[b[1]*c[4]]^2)/10460353203 + 
  (1478464*f[b[1]*b[2]*c[1]*c[2]]*f[b[1]*c[4]]^2)/1162261467 - 
  (60164416*f[b[3]*c[3]]*f[b[1]*c[4]]^2)/10460353203 - 
  (106496*f[a[2]]*f[b[1]*c[1]]*f[a[1]*b[1]*c[4]])/1594323 + 
  (532480*f[a[1]^2*a[2]]*f[b[1]*c[1]]*f[a[1]*b[1]*c[4]])/43046721 - 
  (2662400*f[a[1]^4*a[2]]*f[b[1]*c[1]]*f[a[1]*b[1]*c[4]])/387420489 - 
  (2768896*f[a[2]^3]*f[b[1]*c[1]]*f[a[1]*b[1]*c[4]])/129140163 - 
  (3407872*f[a[1]*a[2]*a[3]]*f[b[1]*c[1]]*f[a[1]*b[1]*c[4]])/
   387420489 + (425984*f[a[4]]*f[b[1]*c[1]]*f[a[1]*b[1]*c[4]])/
   14348907 - (2129920*f[a[1]^2*a[4]]*f[b[1]*c[1]]*f[a[1]*b[1]*c[4]])/
   387420489 - (2662400*f[a[6]]*f[b[1]*c[1]]*f[a[1]*b[1]*c[4]])/
   129140163 + (3940352*f[a[2]]*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[1]*c[4]])/
   43046721 + (11608064*f[a[1]^2*a[2]]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]*b[1]*c[4]])/387420489 - 
  (446750720*f[a[1]^4*a[2]]*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[1]*c[4]])/
   10460353203 - (565067776*f[a[2]^3]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]*b[1]*c[4]])/10460353203 + 
  (23855104*f[a[1]*a[2]*a[3]]*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[1]*c[4]])/
   3486784401 - (15761408*f[a[4]]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]*b[1]*c[4]])/387420489 - 
  (46432256*f[a[1]^2*a[4]]*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[1]*c[4]])/
   3486784401 + (98508800*f[a[6]]*f[a[1]^2*b[1]*c[1]]*
     f[a[1]*b[1]*c[4]])/3486784401 + 
  (54525952*f[a[1]*a[2]]*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[1]*c[4]])/
   387420489 + (926941184*f[a[1]^3*a[2]]*f[a[1]^3*b[1]*c[1]]*
     f[a[1]*b[1]*c[4]])/10460353203 - 
  (54525952*f[a[2]*a[3]]*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[1]*c[4]])/
   3486784401 - (218103808*f[a[1]*a[4]]*f[a[1]^3*b[1]*c[1]]*
     f[a[1]*b[1]*c[4]])/3486784401 - 
  (12247040*f[a[2]]*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[1]*c[4]])/129140163 + 
  (1042702336*f[a[1]^2*a[2]]*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[1]*c[4]])/
   3486784401 + (25472032768*f[a[1]^4*a[2]]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]*b[1]*c[4]])/94143178827 + 
  (73409609728*f[a[2]^3]*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[1]*c[4]])/
   282429536481 - (1373372416*f[a[1]*a[2]*a[3]]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]*b[1]*c[4]])/31381059609 + 
  (48988160*f[a[4]]*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[1]*c[4]])/1162261467 - 
  (4170809344*f[a[1]^2*a[4]]*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[1]*c[4]])/
   31381059609 - (306176000*f[a[6]]*f[a[1]^4*b[1]*c[1]]*
     f[a[1]*b[1]*c[4]])/10460353203 + 
  (106496*f[1]*f[a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[4]])/1594323 - 
  (3940352*f[a[1]^2]*f[a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[4]])/43046721 + 
  (12247040*f[a[1]^4]*f[a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[4]])/129140163 - 
  (1344512000*f[a[1]^6]*f[a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[4]])/
   10460353203 + (57294848*f[a[2]^2]*f[a[2]*b[1]*c[1]]*
     f[a[1]*b[1]*c[4]])/387420489 - 
  (125026304*f[a[1]^2*a[2]^2]*f[a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[4]])/
   3486784401 - (6815744*f[a[1]*a[3]]*f[a[2]*b[1]*c[1]]*
     f[a[1]*b[1]*c[4]])/129140163 - 
  (6815744*f[a[1]^3*a[3]]*f[a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[4]])/
   3486784401 + (58253312*f[a[3]^2]*f[a[2]*b[1]*c[1]]*
     f[a[1]*b[1]*c[4]])/10460353203 - 
  (436207616*f[a[2]*a[4]]*f[a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[4]])/
   10460353203 + (170393600*f[a[1]*a[5]]*f[a[2]*b[1]*c[1]]*
     f[a[1]*b[1]*c[4]])/10460353203 - 
  (54525952*f[a[1]^3]*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[4]])/
   387420489 + (2726297600*f[a[1]^5]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[1]*b[1]*c[4]])/10460353203 + 
  (872415232*f[a[1]*a[2]^2]*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[4]])/
   31381059609 - (27262976*f[a[3]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[1]*b[1]*c[4]])/387420489 - 
  (190840832*f[a[1]^2*a[3]]*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[4]])/
   3486784401 + (954204160*f[a[5]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[a[1]*b[1]*c[4]])/31381059609 - 
  (532480*f[1]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[4]])/43046721 - 
  (11608064*f[a[1]^2]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[4]])/
   387420489 - (1042702336*f[a[1]^4]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*b[1]*c[4]])/3486784401 + 
  (247999897600*f[a[1]^6]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[4]])/
   282429536481 - (5221498880*f[a[2]^2]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*b[1]*c[4]])/31381059609 - 
  (3627892736*f[a[1]^2*a[2]^2]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*b[1]*c[4]])/94143178827 - 
  (238551040*f[a[1]*a[3]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[4]])/
   3486784401 - (8090288128*f[a[1]^3*a[3]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*b[1]*c[4]])/94143178827 + 
  (4779646976*f[a[3]^2]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[4]])/
   282429536481 + (30970740736*f[a[2]*a[4]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*b[1]*c[4]])/847288609443 + 
  (8144814080*f[a[1]*a[5]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[4]])/
   282429536481 - (57294848*f[a[2]]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]*b[1]*c[4]])/387420489 + 
  (5221498880*f[a[1]^2*a[2]]*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[1]*c[4]])/
   31381059609 - (47917875200*f[a[1]^4*a[2]]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]*b[1]*c[4]])/282429536481 - 
  (15448309760*f[a[2]^3]*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[1]*c[4]])/
   31381059609 + (6018301952*f[a[1]*a[2]*a[3]]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]*b[1]*c[4]])/94143178827 + 
  (317784064*f[a[4]]*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[1]*c[4]])/
   31381059609 + (1900740608*f[a[1]^2*a[4]]*f[a[2]^2*b[1]*c[1]]*
     f[a[1]*b[1]*c[4]])/847288609443 - 
  (807452672*f[a[6]]*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[1]*c[4]])/
   94143178827 + (27262976*f[a[1]*a[2]]*f[a[3]*b[1]*c[1]]*
     f[a[1]*b[1]*c[4]])/387420489 - 
  (136314880*f[a[1]^3*a[2]]*f[a[3]*b[1]*c[1]]*f[a[1]*b[1]*c[4]])/
   3486784401 - (1172307968*f[a[2]*a[3]]*f[a[3]*b[1]*c[1]]*
     f[a[1]*b[1]*c[4]])/10460353203 + 
  (109051904*f[a[1]*a[4]]*f[a[3]*b[1]*c[1]]*f[a[1]*b[1]*c[4]])/
   1162261467 + (6815744*f[a[2]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]*b[1]*c[4]])/129140163 + 
  (238551040*f[a[1]^2*a[2]]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*b[1]*c[4]])/
   3486784401 - (851968000*f[a[1]^4*a[2]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]*b[1]*c[4]])/10460353203 - 
  (3830448128*f[a[2]^3]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*b[1]*c[4]])/
   31381059609 - (54525952*f[a[1]*a[2]*a[3]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]*b[1]*c[4]])/31381059609 + 
  (354418688*f[a[4]]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*b[1]*c[4]])/
   3486784401 + (2971664384*f[a[1]^2*a[4]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]*b[1]*c[4]])/31381059609 - 
  (11975262208*f[a[6]]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*b[1]*c[4]])/
   282429536481 - (425984*f[1]*f[a[4]*b[1]*c[1]]*f[a[1]*b[1]*c[4]])/
   14348907 + (15761408*f[a[1]^2]*f[a[4]*b[1]*c[1]]*f[a[1]*b[1]*c[4]])/
   387420489 - (48988160*f[a[1]^4]*f[a[4]*b[1]*c[1]]*
     f[a[1]*b[1]*c[4]])/1162261467 + 
  (5378048000*f[a[1]^6]*f[a[4]*b[1]*c[1]]*f[a[1]*b[1]*c[4]])/
   94143178827 - (317784064*f[a[2]^2]*f[a[4]*b[1]*c[1]]*
     f[a[1]*b[1]*c[4]])/31381059609 + 
  (4778688512*f[a[1]^2*a[2]^2]*f[a[4]*b[1]*c[1]]*f[a[1]*b[1]*c[4]])/
   847288609443 - (354418688*f[a[1]*a[3]]*f[a[4]*b[1]*c[1]]*
     f[a[1]*b[1]*c[4]])/3486784401 + 
  (27262976*f[a[1]^3*a[3]]*f[a[4]*b[1]*c[1]]*f[a[1]*b[1]*c[4]])/
   387420489 + (2384232448*f[a[3]^2]*f[a[4]*b[1]*c[1]]*
     f[a[1]*b[1]*c[4]])/94143178827 + 
  (40131100672*f[a[2]*a[4]]*f[a[4]*b[1]*c[1]]*f[a[1]*b[1]*c[4]])/
   282429536481 - (99918807040*f[a[1]*a[5]]*f[a[4]*b[1]*c[1]]*
     f[a[1]*b[1]*c[4]])/847288609443 - 
  (102400*f[a[1]]*f[b[2]*c[1]]*f[a[1]*b[1]*c[4]])/4782969 + 
  (512000*f[a[1]^3]*f[b[2]*c[1]]*f[a[1]*b[1]*c[4]])/43046721 - 
  (12800000*f[a[1]^5]*f[b[2]*c[1]]*f[a[1]*b[1]*c[4]])/1162261467 - 
  (2662400*f[a[1]*a[2]^2]*f[b[2]*c[1]]*f[a[1]*b[1]*c[4]])/1162261467 + 
  (102400*f[a[3]]*f[b[2]*c[1]]*f[a[1]*b[1]*c[4]])/43046721 - 
  (2355200*f[a[1]^2*a[3]]*f[b[2]*c[1]]*f[a[1]*b[1]*c[4]])/387420489 - 
  (6656000*f[a[5]]*f[b[2]*c[1]]*f[a[1]*b[1]*c[4]])/3486784401 - 
  (2232320*f[a[1]*b[1]*c[1]]*f[b[2]*c[1]]*f[a[1]*b[1]*c[4]])/43046721 + 
  (11161600*f[a[1]^3*b[1]*c[1]]*f[b[2]*c[1]]*f[a[1]*b[1]*c[4]])/
   387420489 + (2232320*f[a[3]*b[1]*c[1]]*f[b[2]*c[1]]*
     f[a[1]*b[1]*c[4]])/387420489 - 
  (102400*f[1]*f[a[1]*b[2]*c[1]]*f[a[1]*b[1]*c[4]])/4782969 - 
  (102400*f[a[1]^2]*f[a[1]*b[2]*c[1]]*f[a[1]*b[1]*c[4]])/4782969 + 
  (30208000*f[a[1]^4]*f[a[1]*b[2]*c[1]]*f[a[1]*b[1]*c[4]])/1162261467 - 
  (1164800000*f[a[1]^6]*f[a[1]*b[2]*c[1]]*f[a[1]*b[1]*c[4]])/
   31381059609 + (44441600*f[a[2]^2]*f[a[1]*b[2]*c[1]]*
     f[a[1]*b[1]*c[4]])/3486784401 - 
  (477798400*f[a[1]^2*a[2]^2]*f[a[1]*b[2]*c[1]]*f[a[1]*b[1]*c[4]])/
   94143178827 - (104857600*f[a[1]^3*a[3]]*f[a[1]*b[2]*c[1]]*
     f[a[1]*b[1]*c[4]])/10460353203 + 
  (81612800*f[a[3]^2]*f[a[1]*b[2]*c[1]]*f[a[1]*b[1]*c[4]])/
   31381059609 - (419430400*f[a[2]*a[4]]*f[a[1]*b[2]*c[1]]*
     f[a[1]*b[1]*c[4]])/94143178827 - 
  (2232320*f[b[1]*c[1]]*f[a[1]*b[2]*c[1]]*f[a[1]*b[1]*c[4]])/43046721 - 
  (2232320*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*f[a[1]*b[1]*c[4]])/
   43046721 + (658534400*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*
     f[a[1]*b[1]*c[4]])/10460353203 + 
  (968826880*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*f[a[1]*b[1]*c[4]])/
   31381059609 - (102400*f[a[1]]*f[a[1]^2*b[2]*c[1]]*
     f[a[1]*b[1]*c[4]])/4782969 - 
  (38604800*f[a[1]^3]*f[a[1]^2*b[2]*c[1]]*f[a[1]*b[1]*c[4]])/
   1162261467 + (2275840000*f[a[1]^5]*f[a[1]^2*b[2]*c[1]]*
     f[a[1]*b[1]*c[4]])/31381059609 + 
  (623206400*f[a[1]*a[2]^2]*f[a[1]^2*b[2]*c[1]]*f[a[1]*b[1]*c[4]])/
   94143178827 + (102400*f[a[3]]*f[a[1]^2*b[2]*c[1]]*
     f[a[1]*b[1]*c[4]])/43046721 - 
  (11161600*f[a[1]^2*a[3]]*f[a[1]^2*b[2]*c[1]]*f[a[1]*b[1]*c[4]])/
   10460353203 - (6656000*f[a[5]]*f[a[1]^2*b[2]*c[1]]*
     f[a[1]*b[1]*c[4]])/3486784401 - 
  (2232320*f[a[1]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*f[a[1]*b[1]*c[4]])/
   43046721 - (841584640*f[a[1]^3*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*
     f[a[1]*b[1]*c[4]])/10460353203 + 
  (2232320*f[a[3]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*f[a[1]*b[1]*c[4]])/
   387420489 + (512000*f[1]*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[1]*c[4]])/
   43046721 - (38604800*f[a[1]^2]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*b[1]*c[4]])/1162261467 - 
  (2235699200*f[a[1]^4]*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[1]*c[4]])/
   31381059609 + (23349760000*f[a[1]^6]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*b[1]*c[4]])/94143178827 - 
  (353689600*f[a[2]^2]*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[1]*c[4]])/
   10460353203 + (92364800*f[a[1]^2*a[2]^2]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*b[1]*c[4]])/31381059609 + 
  (52428800*f[a[1]*a[3]]*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[1]*c[4]])/
   10460353203 - (891289600*f[a[1]^3*a[3]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*b[1]*c[4]])/282429536481 - 
  (565350400*f[a[3]^2]*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[1]*c[4]])/
   282429536481 + (12163481600*f[a[2]*a[4]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*b[1]*c[4]])/847288609443 - 
  (3407872000*f[a[1]*a[5]]*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[1]*c[4]])/
   847288609443 + (11161600*f[b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*b[1]*c[4]])/387420489 - 
  (841584640*f[a[1]^2*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*b[1]*c[4]])/10460353203 - 
  (48738242560*f[a[1]^4*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*b[1]*c[4]])/282429536481 - 
  (7710433280*f[a[2]^2*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*b[1]*c[4]])/94143178827 + 
  (1142947840*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[a[1]*b[1]*c[4]])/94143178827 + 
  (52428800*f[a[1]*a[2]]*f[a[2]*b[2]*c[1]]*f[a[1]*b[1]*c[4]])/
   3486784401 - (262144000*f[a[1]^3*a[2]]*f[a[2]*b[2]*c[1]]*
     f[a[1]*b[1]*c[4]])/31381059609 - 
  (52428800*f[a[2]*a[3]]*f[a[2]*b[2]*c[1]]*f[a[1]*b[1]*c[4]])/
   3486784401 + (209715200*f[a[1]*a[4]]*f[a[2]*b[2]*c[1]]*
     f[a[1]*b[1]*c[4]])/94143178827 + 
  (1142947840*f[a[1]*a[2]*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*
     f[a[1]*b[1]*c[4]])/31381059609 + 
  (52428800*f[a[2]]*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]*b[1]*c[4]])/
   3486784401 + (2254438400*f[a[1]^2*a[2]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]*b[1]*c[4]])/94143178827 - 
  (23855104000*f[a[1]^4*a[2]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]*b[1]*c[4]])/847288609443 - 
  (12058624000*f[a[2]^3]*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]*b[1]*c[4]])/
   282429536481 - (838860800*f[a[1]*a[2]*a[3]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]*b[1]*c[4]])/847288609443 + 
  (209715200*f[a[4]]*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]*b[1]*c[4]])/
   94143178827 - (1468006400*f[a[1]^2*a[4]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]*b[1]*c[4]])/847288609443 - 
  (367001600*f[a[6]]*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]*b[1]*c[4]])/
   282429536481 + (1142947840*f[a[2]*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]*b[1]*c[4]])/31381059609 + 
  (49146757120*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]*b[1]*c[4]])/847288609443 + 
  (4571791360*f[a[4]*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[a[1]*b[1]*c[4]])/847288609443 + 
  (102400*f[1]*f[a[3]*b[2]*c[1]]*f[a[1]*b[1]*c[4]])/43046721 + 
  (102400*f[a[1]^2]*f[a[3]*b[2]*c[1]]*f[a[1]*b[1]*c[4]])/43046721 - 
  (30208000*f[a[1]^4]*f[a[3]*b[2]*c[1]]*f[a[1]*b[1]*c[4]])/
   10460353203 + (1164800000*f[a[1]^6]*f[a[3]*b[2]*c[1]]*
     f[a[1]*b[1]*c[4]])/282429536481 + 
  (88268800*f[a[2]^2]*f[a[3]*b[2]*c[1]]*f[a[1]*b[1]*c[4]])/3486784401 - 
  (1238835200*f[a[1]^2*a[2]^2]*f[a[3]*b[2]*c[1]]*f[a[1]*b[1]*c[4]])/
   282429536481 - (1048576000*f[a[1]*a[3]]*f[a[3]*b[2]*c[1]]*
     f[a[1]*b[1]*c[4]])/31381059609 + 
  (5557452800*f[a[1]^3*a[3]]*f[a[3]*b[2]*c[1]]*f[a[1]*b[1]*c[4]])/
   282429536481 + (102400*f[a[3]^2]*f[a[3]*b[2]*c[1]]*
     f[a[1]*b[1]*c[4]])/14348907 + 
  (10485760000*f[a[2]*a[4]]*f[a[3]*b[2]*c[1]]*f[a[1]*b[1]*c[4]])/
   847288609443 + (1048576000*f[a[1]*a[5]]*f[a[3]*b[2]*c[1]]*
     f[a[1]*b[1]*c[4]])/847288609443 + 
  (2232320*f[b[1]*c[1]]*f[a[3]*b[2]*c[1]]*f[a[1]*b[1]*c[4]])/
   387420489 + (2232320*f[a[1]^2*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[a[1]*b[1]*c[4]])/387420489 - 
  (658534400*f[a[1]^4*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*f[a[1]*b[1]*c[4]])/
   94143178827 + (1924259840*f[a[2]^2*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[a[1]*b[1]*c[4]])/31381059609 - 
  (22858956800*f[a[1]*a[3]*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[a[1]*b[1]*c[4]])/282429536481 + 
  (3399680*f[a[2]]*f[b[3]*c[1]]*f[a[1]*b[1]*c[4]])/14348907 - 
  (16998400*f[a[1]^2*a[2]]*f[b[3]*c[1]]*f[a[1]*b[1]*c[4]])/387420489 + 
  (84992000*f[a[1]^4*a[2]]*f[b[3]*c[1]]*f[a[1]*b[1]*c[4]])/3486784401 + 
  (88391680*f[a[2]^3]*f[b[3]*c[1]]*f[a[1]*b[1]*c[4]])/1162261467 + 
  (108789760*f[a[1]*a[2]*a[3]]*f[b[3]*c[1]]*f[a[1]*b[1]*c[4]])/
   3486784401 - (13598720*f[a[4]]*f[b[3]*c[1]]*f[a[1]*b[1]*c[4]])/
   129140163 + (67993600*f[a[1]^2*a[4]]*f[b[3]*c[1]]*
     f[a[1]*b[1]*c[4]])/3486784401 + 
  (84992000*f[a[6]]*f[b[3]*c[1]]*f[a[1]*b[1]*c[4]])/1162261467 - 
  (286720*f[a[2]*b[1]*c[1]]*f[b[3]*c[1]]*f[a[1]*b[1]*c[4]])/43046721 + 
  (1433600*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[3]*c[1]]*f[a[1]*b[1]*c[4]])/
   1162261467 + (1146880*f[a[4]*b[1]*c[1]]*f[b[3]*c[1]]*
     f[a[1]*b[1]*c[4]])/387420489 + 
  (72089600*f[a[1]*b[2]*c[1]]*f[b[3]*c[1]]*f[a[1]*b[1]*c[4]])/
   387420489 - (360448000*f[a[1]^3*b[2]*c[1]]*f[b[3]*c[1]]*
     f[a[1]*b[1]*c[4]])/3486784401 - 
  (72089600*f[a[3]*b[2]*c[1]]*f[b[3]*c[1]]*f[a[1]*b[1]*c[4]])/
   3486784401 + (72089600*f[b[2]*c[1]]*f[a[1]*b[3]*c[1]]*
     f[a[1]*b[1]*c[4]])/387420489 + 
  (72089600*f[a[1]^2*b[2]*c[1]]*f[a[1]*b[3]*c[1]]*f[a[1]*b[1]*c[4]])/
   387420489 - (125788160*f[a[2]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]*b[1]*c[4]])/387420489 - 
  (370565120*f[a[1]^2*a[2]]*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[1]*c[4]])/
   3486784401 + (14261657600*f[a[1]^4*a[2]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]*b[1]*c[4]])/94143178827 + 
  (18038702080*f[a[2]^3]*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[1]*c[4]])/
   94143178827 - (761528320*f[a[1]*a[2]*a[3]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]*b[1]*c[4]])/31381059609 + 
  (503152640*f[a[4]]*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[1]*c[4]])/
   3486784401 + (1482260480*f[a[1]^2*a[4]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]*b[1]*c[4]])/31381059609 - 
  (3144704000*f[a[6]]*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[1]*c[4]])/
   31381059609 + (10608640*f[a[2]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]*b[1]*c[4]])/1162261467 + 
  (31252480*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]*b[1]*c[4]])/10460353203 - 
  (42434560*f[a[4]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[1]*c[4]])/
   10460353203 + (72089600*f[a[1]*b[2]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]*b[1]*c[4]])/387420489 + 
  (27177779200*f[a[1]^3*b[2]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[a[1]*b[1]*c[4]])/94143178827 - 
  (72089600*f[a[3]*b[2]*c[1]]*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[1]*c[4]])/
   3486784401 - (3399680*f[1]*f[a[2]*b[3]*c[1]]*f[a[1]*b[1]*c[4]])/
   14348907 + (125788160*f[a[1]^2]*f[a[2]*b[3]*c[1]]*
     f[a[1]*b[1]*c[4]])/387420489 - 
  (390963200*f[a[1]^4]*f[a[2]*b[3]*c[1]]*f[a[1]*b[1]*c[4]])/
   1162261467 + (42920960000*f[a[1]^6]*f[a[2]*b[3]*c[1]]*
     f[a[1]*b[1]*c[4]])/94143178827 - 
  (1829027840*f[a[2]^2]*f[a[2]*b[3]*c[1]]*f[a[1]*b[1]*c[4]])/
   3486784401 + (3991224320*f[a[1]^2*a[2]^2]*f[a[2]*b[3]*c[1]]*
     f[a[1]*b[1]*c[4]])/31381059609 + 
  (217579520*f[a[1]*a[3]]*f[a[2]*b[3]*c[1]]*f[a[1]*b[1]*c[4]])/
   1162261467 + (217579520*f[a[1]^3*a[3]]*f[a[2]*b[3]*c[1]]*
     f[a[1]*b[1]*c[4]])/31381059609 - 
  (1859624960*f[a[3]^2]*f[a[2]*b[3]*c[1]]*f[a[1]*b[1]*c[4]])/
   94143178827 + (13925089280*f[a[2]*a[4]]*f[a[2]*b[3]*c[1]]*
     f[a[1]*b[1]*c[4]])/94143178827 - 
  (5439488000*f[a[1]*a[5]]*f[a[2]*b[3]*c[1]]*f[a[1]*b[1]*c[4]])/
   94143178827 + (286720*f[b[1]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[a[1]*b[1]*c[4]])/43046721 - 
  (10608640*f[a[1]^2*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*f[a[1]*b[1]*c[4]])/
   1162261467 + (32972800*f[a[1]^4*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[a[1]*b[1]*c[4]])/3486784401 + 
  (154255360*f[a[2]^2*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*f[a[1]*b[1]*c[4]])/
   10460353203 - (18350080*f[a[1]*a[3]*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[a[1]*b[1]*c[4]])/3486784401 - 
  (36909875200*f[a[1]*a[2]*b[2]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[a[1]*b[1]*c[4]])/282429536481 - 
  (21618688*f[a[1]]*f[b[4]*c[1]]*f[a[1]*b[1]*c[4]])/43046721 + 
  (108093440*f[a[1]^3]*f[b[4]*c[1]]*f[a[1]*b[1]*c[4]])/387420489 - 
  (2702336000*f[a[1]^5]*f[b[4]*c[1]]*f[a[1]*b[1]*c[4]])/10460353203 - 
  (562085888*f[a[1]*a[2]^2]*f[b[4]*c[1]]*f[a[1]*b[1]*c[4]])/
   10460353203 + (21618688*f[a[3]]*f[b[4]*c[1]]*f[a[1]*b[1]*c[4]])/
   387420489 - (497229824*f[a[1]^2*a[3]]*f[b[4]*c[1]]*
     f[a[1]*b[1]*c[4]])/3486784401 - 
  (1405214720*f[a[5]]*f[b[4]*c[1]]*f[a[1]*b[1]*c[4]])/31381059609 - 
  (1171456*f[a[1]*b[1]*c[1]]*f[b[4]*c[1]]*f[a[1]*b[1]*c[4]])/43046721 + 
  (5857280*f[a[1]^3*b[1]*c[1]]*f[b[4]*c[1]]*f[a[1]*b[1]*c[4]])/
   387420489 + (1171456*f[a[3]*b[1]*c[1]]*f[b[4]*c[1]]*
     f[a[1]*b[1]*c[4]])/387420489 - 
  (7088373760*f[a[2]*b[2]*c[1]]*f[b[4]*c[1]]*f[a[1]*b[1]*c[4]])/
   31381059609 + (170393600*f[a[1]*b[3]*c[1]]*f[b[4]*c[1]]*
     f[a[1]*b[1]*c[4]])/1162261467 - 
  (21618688*f[1]*f[a[1]*b[4]*c[1]]*f[a[1]*b[1]*c[4]])/43046721 - 
  (21618688*f[a[1]^2]*f[a[1]*b[4]*c[1]]*f[a[1]*b[1]*c[4]])/43046721 + 
  (6377512960*f[a[1]^4]*f[a[1]*b[4]*c[1]]*f[a[1]*b[1]*c[4]])/
   10460353203 - (245912576000*f[a[1]^6]*f[a[1]*b[4]*c[1]]*
     f[a[1]*b[1]*c[4]])/282429536481 + 
  (9382510592*f[a[2]^2]*f[a[1]*b[4]*c[1]]*f[a[1]*b[1]*c[4]])/
   31381059609 - (100872798208*f[a[1]^2*a[2]^2]*f[a[1]*b[4]*c[1]]*
     f[a[1]*b[1]*c[4]])/847288609443 - 
  (22137536512*f[a[1]^3*a[3]]*f[a[1]*b[4]*c[1]]*f[a[1]*b[1]*c[4]])/
   94143178827 + (17230094336*f[a[3]^2]*f[a[1]*b[4]*c[1]]*
     f[a[1]*b[1]*c[4]])/282429536481 - 
  (88550146048*f[a[2]*a[4]]*f[a[1]*b[4]*c[1]]*f[a[1]*b[1]*c[4]])/
   847288609443 - (1171456*f[b[1]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[a[1]*b[1]*c[4]])/43046721 - 
  (1171456*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*f[a[1]*b[1]*c[4]])/
   43046721 + (345579520*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[a[1]*b[1]*c[4]])/10460353203 + 
  (508411904*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*f[a[1]*b[1]*c[4]])/
   31381059609 + (170393600*f[b[3]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[a[1]*b[1]*c[4]])/1162261467 + 
  (170393600*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[4]*c[1]]*f[a[1]*b[1]*c[4]])/
   1162261467 + (977182720*f[a[2]]*f[b[5]*c[1]]*f[a[1]*b[1]*c[4]])/
   3486784401 - (4885913600*f[a[1]^2*a[2]]*f[b[5]*c[1]]*
     f[a[1]*b[1]*c[4]])/94143178827 + 
  (24429568000*f[a[1]^4*a[2]]*f[b[5]*c[1]]*f[a[1]*b[1]*c[4]])/
   847288609443 + (25406750720*f[a[2]^3]*f[b[5]*c[1]]*
     f[a[1]*b[1]*c[4]])/282429536481 + 
  (31269847040*f[a[1]*a[2]*a[3]]*f[b[5]*c[1]]*f[a[1]*b[1]*c[4]])/
   847288609443 - (3908730880*f[a[4]]*f[b[5]*c[1]]*f[a[1]*b[1]*c[4]])/
   31381059609 + (19543654400*f[a[1]^2*a[4]]*f[b[5]*c[1]]*
     f[a[1]*b[1]*c[4]])/847288609443 + 
  (24429568000*f[a[6]]*f[b[5]*c[1]]*f[a[1]*b[1]*c[4]])/282429536481 + 
  (1884528640*f[a[2]*b[1]*c[1]]*f[b[5]*c[1]]*f[a[1]*b[1]*c[4]])/
   31381059609 - (9422643200*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[5]*c[1]]*
     f[a[1]*b[1]*c[4]])/847288609443 - 
  (7538114560*f[a[4]*b[1]*c[1]]*f[b[5]*c[1]]*f[a[1]*b[1]*c[4]])/
   282429536481 + (18671206400*f[a[1]*b[2]*c[1]]*f[b[5]*c[1]]*
     f[a[1]*b[1]*c[4]])/94143178827 - 
  (93356032000*f[a[1]^3*b[2]*c[1]]*f[b[5]*c[1]]*f[a[1]*b[1]*c[4]])/
   847288609443 - (18671206400*f[a[3]*b[2]*c[1]]*f[b[5]*c[1]]*
     f[a[1]*b[1]*c[4]])/847288609443 - 
  (68052582400*f[a[2]*b[3]*c[1]]*f[b[5]*c[1]]*f[a[1]*b[1]*c[4]])/
   282429536481 - (285818224640*f[a[1]*b[4]*c[1]]*f[b[5]*c[1]]*
     f[a[1]*b[1]*c[4]])/847288609443 - 
  (133120*f[a[1]]*f[b[1]*c[2]]*f[a[1]*b[1]*c[4]])/1594323 + 
  (665600*f[a[1]^3]*f[b[1]*c[2]]*f[a[1]*b[1]*c[4]])/14348907 - 
  (16640000*f[a[1]^5]*f[b[1]*c[2]]*f[a[1]*b[1]*c[4]])/387420489 - 
  (3461120*f[a[1]*a[2]^2]*f[b[1]*c[2]]*f[a[1]*b[1]*c[4]])/387420489 + 
  (133120*f[a[3]]*f[b[1]*c[2]]*f[a[1]*b[1]*c[4]])/14348907 - 
  (3061760*f[a[1]^2*a[3]]*f[b[1]*c[2]]*f[a[1]*b[1]*c[4]])/129140163 - 
  (8652800*f[a[5]]*f[b[1]*c[2]]*f[a[1]*b[1]*c[4]])/1162261467 - 
  (133120*f[a[1]*b[1]*c[1]]*f[b[1]*c[2]]*f[a[1]*b[1]*c[4]])/1594323 + 
  (665600*f[a[1]^3*b[1]*c[1]]*f[b[1]*c[2]]*f[a[1]*b[1]*c[4]])/
   14348907 + (133120*f[a[3]*b[1]*c[1]]*f[b[1]*c[2]]*
     f[a[1]*b[1]*c[4]])/14348907 + 
  (123731968*f[a[2]*b[2]*c[1]]*f[b[1]*c[2]]*f[a[1]*b[1]*c[4]])/
   3486784401 + (32505856*f[a[1]*b[3]*c[1]]*f[b[1]*c[2]]*
     f[a[1]*b[1]*c[4]])/387420489 - 
  (133120*f[1]*f[a[1]*b[1]*c[2]]*f[a[1]*b[1]*c[4]])/1594323 - 
  (133120*f[a[1]^2]*f[a[1]*b[1]*c[2]]*f[a[1]*b[1]*c[4]])/1594323 + 
  (39270400*f[a[1]^4]*f[a[1]*b[1]*c[2]]*f[a[1]*b[1]*c[4]])/387420489 - 
  (1514240000*f[a[1]^6]*f[a[1]*b[1]*c[2]]*f[a[1]*b[1]*c[4]])/
   10460353203 + (57774080*f[a[2]^2]*f[a[1]*b[1]*c[2]]*
     f[a[1]*b[1]*c[4]])/1162261467 - 
  (621137920*f[a[1]^2*a[2]^2]*f[a[1]*b[1]*c[2]]*f[a[1]*b[1]*c[4]])/
   31381059609 - (136314880*f[a[1]^3*a[3]]*f[a[1]*b[1]*c[2]]*
     f[a[1]*b[1]*c[4]])/3486784401 + 
  (106096640*f[a[3]^2]*f[a[1]*b[1]*c[2]]*f[a[1]*b[1]*c[4]])/
   10460353203 - (545259520*f[a[2]*a[4]]*f[a[1]*b[1]*c[2]]*
     f[a[1]*b[1]*c[4]])/31381059609 - 
  (133120*f[b[1]*c[1]]*f[a[1]*b[1]*c[2]]*f[a[1]*b[1]*c[4]])/1594323 - 
  (133120*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[1]*c[2]]*f[a[1]*b[1]*c[4]])/
   1594323 + (39270400*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[a[1]*b[1]*c[4]])/387420489 + 
  (57774080*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[1]*c[2]]*f[a[1]*b[1]*c[4]])/
   1162261467 + (32505856*f[b[3]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[a[1]*b[1]*c[4]])/387420489 + 
  (32505856*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[1]*c[2]]*f[a[1]*b[1]*c[4]])/
   387420489 + (8739880960*f[b[5]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[a[1]*b[1]*c[4]])/94143178827 - 
  (133120*f[a[1]]*f[a[1]^2*b[1]*c[2]]*f[a[1]*b[1]*c[4]])/1594323 - 
  (50186240*f[a[1]^3]*f[a[1]^2*b[1]*c[2]]*f[a[1]*b[1]*c[4]])/
   387420489 + (2958592000*f[a[1]^5]*f[a[1]^2*b[1]*c[2]]*
     f[a[1]*b[1]*c[4]])/10460353203 + 
  (810168320*f[a[1]*a[2]^2]*f[a[1]^2*b[1]*c[2]]*f[a[1]*b[1]*c[4]])/
   31381059609 + (133120*f[a[3]]*f[a[1]^2*b[1]*c[2]]*
     f[a[1]*b[1]*c[4]])/14348907 - 
  (14510080*f[a[1]^2*a[3]]*f[a[1]^2*b[1]*c[2]]*f[a[1]*b[1]*c[4]])/
   3486784401 - (8652800*f[a[5]]*f[a[1]^2*b[1]*c[2]]*
     f[a[1]*b[1]*c[4]])/1162261467 - 
  (133120*f[a[1]*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]]*f[a[1]*b[1]*c[4]])/
   1594323 - (50186240*f[a[1]^3*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]]*
     f[a[1]*b[1]*c[4]])/387420489 + 
  (133120*f[a[3]*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]]*f[a[1]*b[1]*c[4]])/
   14348907 - (4578082816*f[a[2]*b[2]*c[1]]*f[a[1]^2*b[1]*c[2]]*
     f[a[1]*b[1]*c[4]])/94143178827 + 
  (32505856*f[a[1]*b[3]*c[1]]*f[a[1]^2*b[1]*c[2]]*f[a[1]*b[1]*c[4]])/
   387420489 + (665600*f[1]*f[a[1]^3*b[1]*c[2]]*f[a[1]*b[1]*c[4]])/
   14348907 - (50186240*f[a[1]^2]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]*b[1]*c[4]])/387420489 - 
  (2906408960*f[a[1]^4]*f[a[1]^3*b[1]*c[2]]*f[a[1]*b[1]*c[4]])/
   10460353203 + (30354688000*f[a[1]^6]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]*b[1]*c[4]])/31381059609 - 
  (459796480*f[a[2]^2]*f[a[1]^3*b[1]*c[2]]*f[a[1]*b[1]*c[4]])/
   3486784401 + (120074240*f[a[1]^2*a[2]^2]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]*b[1]*c[4]])/10460353203 + 
  (68157440*f[a[1]*a[3]]*f[a[1]^3*b[1]*c[2]]*f[a[1]*b[1]*c[4]])/
   3486784401 - (1158676480*f[a[1]^3*a[3]]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]*b[1]*c[4]])/94143178827 - 
  (734955520*f[a[3]^2]*f[a[1]^3*b[1]*c[2]]*f[a[1]*b[1]*c[4]])/
   94143178827 + (15812526080*f[a[2]*a[4]]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]*b[1]*c[4]])/282429536481 - 
  (4430233600*f[a[1]*a[5]]*f[a[1]^3*b[1]*c[2]]*f[a[1]*b[1]*c[4]])/
   282429536481 + (665600*f[b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]*b[1]*c[4]])/14348907 - 
  (50186240*f[a[1]^2*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*f[a[1]*b[1]*c[4]])/
   387420489 - (2906408960*f[a[1]^4*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]*b[1]*c[4]])/10460353203 - 
  (459796480*f[a[2]^2*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]*b[1]*c[4]])/3486784401 + 
  (68157440*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]*b[1]*c[4]])/3486784401 - 
  (63350767616*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]*b[1]*c[4]])/847288609443 - 
  (162529280*f[b[3]*c[1]]*f[a[1]^3*b[1]*c[2]]*f[a[1]*b[1]*c[4]])/
   3486784401 + (12254707712*f[a[1]^2*b[3]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[a[1]*b[1]*c[4]])/94143178827 - 
  (43699404800*f[b[5]*c[1]]*f[a[1]^3*b[1]*c[2]]*f[a[1]*b[1]*c[4]])/
   847288609443 + (68157440*f[a[1]*a[2]]*f[a[2]*b[1]*c[2]]*
     f[a[1]*b[1]*c[4]])/1162261467 - 
  (340787200*f[a[1]^3*a[2]]*f[a[2]*b[1]*c[2]]*f[a[1]*b[1]*c[4]])/
   10460353203 - (68157440*f[a[2]*a[3]]*f[a[2]*b[1]*c[2]]*
     f[a[1]*b[1]*c[4]])/1162261467 + 
  (272629760*f[a[1]*a[4]]*f[a[2]*b[1]*c[2]]*f[a[1]*b[1]*c[4]])/
   31381059609 + (68157440*f[a[1]*a[2]*b[1]*c[1]]*f[a[2]*b[1]*c[2]]*
     f[a[1]*b[1]*c[4]])/1162261467 - 
  (123731968*f[b[2]*c[1]]*f[a[2]*b[1]*c[2]]*f[a[1]*b[1]*c[4]])/
   3486784401 + (4578082816*f[a[1]^2*b[2]*c[1]]*f[a[2]*b[1]*c[2]]*
     f[a[1]*b[1]*c[4]])/94143178827 - 
  (3544186880*f[b[4]*c[1]]*f[a[2]*b[1]*c[2]]*f[a[1]*b[1]*c[4]])/
   31381059609 + (68157440*f[a[2]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[1]*b[1]*c[4]])/1162261467 + 
  (2930769920*f[a[1]^2*a[2]]*f[a[1]*a[2]*b[1]*c[2]]*f[a[1]*b[1]*c[4]])/
   31381059609 - (31011635200*f[a[1]^4*a[2]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[1]*b[1]*c[4]])/282429536481 - 
  (15676211200*f[a[2]^3]*f[a[1]*a[2]*b[1]*c[2]]*f[a[1]*b[1]*c[4]])/
   94143178827 - (1090519040*f[a[1]*a[2]*a[3]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[1]*b[1]*c[4]])/282429536481 + 
  (272629760*f[a[4]]*f[a[1]*a[2]*b[1]*c[2]]*f[a[1]*b[1]*c[4]])/
   31381059609 - (1908408320*f[a[1]^2*a[4]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[1]*b[1]*c[4]])/282429536481 - 
  (477102080*f[a[6]]*f[a[1]*a[2]*b[1]*c[2]]*f[a[1]*b[1]*c[4]])/
   94143178827 + (68157440*f[a[2]*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[1]*b[1]*c[4]])/1162261467 + 
  (2930769920*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[1]*b[1]*c[4]])/31381059609 + 
  (272629760*f[a[4]*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[1]*b[1]*c[4]])/31381059609 + 
  (63350767616*f[a[1]^3*b[2]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[1]*b[1]*c[4]])/847288609443 + 
  (31675383808*f[a[3]*b[2]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[1]*b[1]*c[4]])/847288609443 - 
  (16642998272*f[a[2]*b[3]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[1]*b[1]*c[4]])/282429536481 + 
  (133120*f[1]*f[a[3]*b[1]*c[2]]*f[a[1]*b[1]*c[4]])/14348907 + 
  (133120*f[a[1]^2]*f[a[3]*b[1]*c[2]]*f[a[1]*b[1]*c[4]])/14348907 - 
  (39270400*f[a[1]^4]*f[a[3]*b[1]*c[2]]*f[a[1]*b[1]*c[4]])/3486784401 + 
  (1514240000*f[a[1]^6]*f[a[3]*b[1]*c[2]]*f[a[1]*b[1]*c[4]])/
   94143178827 + (114749440*f[a[2]^2]*f[a[3]*b[1]*c[2]]*
     f[a[1]*b[1]*c[4]])/1162261467 - 
  (1610485760*f[a[1]^2*a[2]^2]*f[a[3]*b[1]*c[2]]*f[a[1]*b[1]*c[4]])/
   94143178827 - (1363148800*f[a[1]*a[3]]*f[a[3]*b[1]*c[2]]*
     f[a[1]*b[1]*c[4]])/10460353203 + 
  (7224688640*f[a[1]^3*a[3]]*f[a[3]*b[1]*c[2]]*f[a[1]*b[1]*c[4]])/
   94143178827 + (133120*f[a[3]^2]*f[a[3]*b[1]*c[2]]*
     f[a[1]*b[1]*c[4]])/4782969 + 
  (13631488000*f[a[2]*a[4]]*f[a[3]*b[1]*c[2]]*f[a[1]*b[1]*c[4]])/
   282429536481 + (1363148800*f[a[1]*a[5]]*f[a[3]*b[1]*c[2]]*
     f[a[1]*b[1]*c[4]])/282429536481 + 
  (133120*f[b[1]*c[1]]*f[a[3]*b[1]*c[2]]*f[a[1]*b[1]*c[4]])/14348907 + 
  (133120*f[a[1]^2*b[1]*c[1]]*f[a[3]*b[1]*c[2]]*f[a[1]*b[1]*c[4]])/
   14348907 - (39270400*f[a[1]^4*b[1]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[a[1]*b[1]*c[4]])/3486784401 + 
  (114749440*f[a[2]^2*b[1]*c[1]]*f[a[3]*b[1]*c[2]]*f[a[1]*b[1]*c[4]])/
   1162261467 - (1363148800*f[a[1]*a[3]*b[1]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[a[1]*b[1]*c[4]])/10460353203 - 
  (31675383808*f[a[1]*a[2]*b[2]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[a[1]*b[1]*c[4]])/847288609443 - 
  (32505856*f[b[3]*c[1]]*f[a[3]*b[1]*c[2]]*f[a[1]*b[1]*c[4]])/
   3486784401 - (32505856*f[a[1]^2*b[3]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[a[1]*b[1]*c[4]])/3486784401 - 
  (8739880960*f[b[5]*c[1]]*f[a[3]*b[1]*c[2]]*f[a[1]*b[1]*c[4]])/
   847288609443 + (2048000*f[a[2]]*f[b[2]*c[2]]*f[a[1]*b[1]*c[4]])/
   129140163 - (10240000*f[a[1]^2*a[2]]*f[b[2]*c[2]]*
     f[a[1]*b[1]*c[4]])/3486784401 + 
  (51200000*f[a[1]^4*a[2]]*f[b[2]*c[2]]*f[a[1]*b[1]*c[4]])/
   31381059609 + (53248000*f[a[2]^3]*f[b[2]*c[2]]*f[a[1]*b[1]*c[4]])/
   10460353203 + (65536000*f[a[1]*a[2]*a[3]]*f[b[2]*c[2]]*
     f[a[1]*b[1]*c[4]])/31381059609 - 
  (8192000*f[a[4]]*f[b[2]*c[2]]*f[a[1]*b[1]*c[4]])/1162261467 + 
  (40960000*f[a[1]^2*a[4]]*f[b[2]*c[2]]*f[a[1]*b[1]*c[4]])/
   31381059609 + (51200000*f[a[6]]*f[b[2]*c[2]]*f[a[1]*b[1]*c[4]])/
   10460353203 + (148496384*f[a[2]*b[1]*c[1]]*f[b[2]*c[2]]*
     f[a[1]*b[1]*c[4]])/3486784401 - 
  (742481920*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[2]*c[2]]*f[a[1]*b[1]*c[4]])/
   94143178827 - (593985536*f[a[4]*b[1]*c[1]]*f[b[2]*c[2]]*
     f[a[1]*b[1]*c[4]])/31381059609 - 
  (69529600*f[a[1]*b[2]*c[1]]*f[b[2]*c[2]]*f[a[1]*b[1]*c[4]])/
   3486784401 + (347648000*f[a[1]^3*b[2]*c[1]]*f[b[2]*c[2]]*
     f[a[1]*b[1]*c[4]])/31381059609 + 
  (69529600*f[a[3]*b[2]*c[1]]*f[b[2]*c[2]]*f[a[1]*b[1]*c[4]])/
   31381059609 - (3475333120*f[a[2]*b[3]*c[1]]*f[b[2]*c[2]]*
     f[a[1]*b[1]*c[4]])/31381059609 - 
  (22327549952*f[a[1]*b[4]*c[1]]*f[b[2]*c[2]]*f[a[1]*b[1]*c[4]])/
   94143178827 + (136468480*f[a[1]*b[1]*c[2]]*f[b[2]*c[2]]*
     f[a[1]*b[1]*c[4]])/3486784401 - 
  (682342400*f[a[1]^3*b[1]*c[2]]*f[b[2]*c[2]]*f[a[1]*b[1]*c[4]])/
   31381059609 - (136468480*f[a[3]*b[1]*c[2]]*f[b[2]*c[2]]*
     f[a[1]*b[1]*c[4]])/31381059609 - 
  (69529600*f[b[2]*c[1]]*f[a[1]*b[2]*c[2]]*f[a[1]*b[1]*c[4]])/
   3486784401 - (69529600*f[a[1]^2*b[2]*c[1]]*f[a[1]*b[2]*c[2]]*
     f[a[1]*b[1]*c[4]])/3486784401 - 
  (22327549952*f[b[4]*c[1]]*f[a[1]*b[2]*c[2]]*f[a[1]*b[1]*c[4]])/
   94143178827 + (136468480*f[b[1]*c[2]]*f[a[1]*b[2]*c[2]]*
     f[a[1]*b[1]*c[4]])/3486784401 + 
  (136468480*f[a[1]^2*b[1]*c[2]]*f[a[1]*b[2]*c[2]]*f[a[1]*b[1]*c[4]])/
   3486784401 - (75776000*f[a[2]]*f[a[1]^2*b[2]*c[2]]*
     f[a[1]*b[1]*c[4]])/3486784401 - 
  (223232000*f[a[1]^2*a[2]]*f[a[1]^2*b[2]*c[2]]*f[a[1]*b[1]*c[4]])/
   31381059609 + (8591360000*f[a[1]^4*a[2]]*f[a[1]^2*b[2]*c[2]]*
     f[a[1]*b[1]*c[4]])/847288609443 + 
  (10866688000*f[a[2]^3]*f[a[1]^2*b[2]*c[2]]*f[a[1]*b[1]*c[4]])/
   847288609443 - (458752000*f[a[1]*a[2]*a[3]]*f[a[1]^2*b[2]*c[2]]*
     f[a[1]*b[1]*c[4]])/282429536481 + 
  (303104000*f[a[4]]*f[a[1]^2*b[2]*c[2]]*f[a[1]*b[1]*c[4]])/
   31381059609 + (892928000*f[a[1]^2*a[4]]*f[a[1]^2*b[2]*c[2]]*
     f[a[1]*b[1]*c[4]])/282429536481 - 
  (1894400000*f[a[6]]*f[a[1]^2*b[2]*c[2]]*f[a[1]*b[1]*c[4]])/
   282429536481 - (5494366208*f[a[2]*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]]*
     f[a[1]*b[1]*c[4]])/94143178827 - 
  (16186105856*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]]*
     f[a[1]*b[1]*c[4]])/847288609443 + 
  (21977464832*f[a[4]*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]]*
     f[a[1]*b[1]*c[4]])/847288609443 - 
  (69529600*f[a[1]*b[2]*c[1]]*f[a[1]^2*b[2]*c[2]]*f[a[1]*b[1]*c[4]])/
   3486784401 - (26212659200*f[a[1]^3*b[2]*c[1]]*f[a[1]^2*b[2]*c[2]]*
     f[a[1]*b[1]*c[4]])/847288609443 + 
  (69529600*f[a[3]*b[2]*c[1]]*f[a[1]^2*b[2]*c[2]]*f[a[1]*b[1]*c[4]])/
   31381059609 + (128587325440*f[a[2]*b[3]*c[1]]*f[a[1]^2*b[2]*c[2]]*
     f[a[1]*b[1]*c[4]])/847288609443 - 
  (22327549952*f[a[1]*b[4]*c[1]]*f[a[1]^2*b[2]*c[2]]*
     f[a[1]*b[1]*c[4]])/94143178827 + 
  (136468480*f[a[1]*b[1]*c[2]]*f[a[1]^2*b[2]*c[2]]*f[a[1]*b[1]*c[4]])/
   3486784401 + (51448616960*f[a[1]^3*b[1]*c[2]]*f[a[1]^2*b[2]*c[2]]*
     f[a[1]*b[1]*c[4]])/847288609443 - 
  (136468480*f[a[3]*b[1]*c[2]]*f[a[1]^2*b[2]*c[2]]*f[a[1]*b[1]*c[4]])/
   31381059609 - (2048000*f[1]*f[a[2]*b[2]*c[2]]*f[a[1]*b[1]*c[4]])/
   129140163 + (75776000*f[a[1]^2]*f[a[2]*b[2]*c[2]]*
     f[a[1]*b[1]*c[4]])/3486784401 - 
  (235520000*f[a[1]^4]*f[a[2]*b[2]*c[2]]*f[a[1]*b[1]*c[4]])/
   10460353203 + (25856000000*f[a[1]^6]*f[a[2]*b[2]*c[2]]*
     f[a[1]*b[1]*c[4]])/847288609443 - 
  (1101824000*f[a[2]^2]*f[a[2]*b[2]*c[2]]*f[a[1]*b[1]*c[4]])/
   31381059609 + (2404352000*f[a[1]^2*a[2]^2]*f[a[2]*b[2]*c[2]]*
     f[a[1]*b[1]*c[4]])/282429536481 + 
  (131072000*f[a[1]*a[3]]*f[a[2]*b[2]*c[2]]*f[a[1]*b[1]*c[4]])/
   10460353203 + (131072000*f[a[1]^3*a[3]]*f[a[2]*b[2]*c[2]]*
     f[a[1]*b[1]*c[4]])/282429536481 - 
  (1120256000*f[a[3]^2]*f[a[2]*b[2]*c[2]]*f[a[1]*b[1]*c[4]])/
   847288609443 + (8388608000*f[a[2]*a[4]]*f[a[2]*b[2]*c[2]]*
     f[a[1]*b[1]*c[4]])/847288609443 - 
  (3276800000*f[a[1]*a[5]]*f[a[2]*b[2]*c[2]]*f[a[1]*b[1]*c[4]])/
   847288609443 - (148496384*f[b[1]*c[1]]*f[a[2]*b[2]*c[2]]*
     f[a[1]*b[1]*c[4]])/3486784401 + 
  (5494366208*f[a[1]^2*b[1]*c[1]]*f[a[2]*b[2]*c[2]]*f[a[1]*b[1]*c[4]])/
   94143178827 - (17077084160*f[a[1]^4*b[1]*c[1]]*f[a[2]*b[2]*c[2]]*
     f[a[1]*b[1]*c[4]])/282429536481 - 
  (79891054592*f[a[2]^2*b[1]*c[1]]*f[a[2]*b[2]*c[2]]*
     f[a[1]*b[1]*c[4]])/847288609443 + 
  (9503768576*f[a[1]*a[3]*b[1]*c[1]]*f[a[2]*b[2]*c[2]]*
     f[a[1]*b[1]*c[4]])/282429536481 + 
  (35599155200*f[a[1]*a[2]*b[2]*c[1]]*f[a[2]*b[2]*c[2]]*
     f[a[1]*b[1]*c[4]])/2541865828329 + 
  (3475333120*f[b[3]*c[1]]*f[a[2]*b[2]*c[2]]*f[a[1]*b[1]*c[4]])/
   31381059609 - (128587325440*f[a[1]^2*b[3]*c[1]]*f[a[2]*b[2]*c[2]]*
     f[a[1]*b[1]*c[4]])/847288609443 + 
  (329881640960*f[b[5]*c[1]]*f[a[2]*b[2]*c[2]]*f[a[1]*b[1]*c[4]])/
   2541865828329 - (69871861760*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[2]*b[2]*c[2]]*f[a[1]*b[1]*c[4]])/2541865828329 - 
  (4249600*f[a[1]]*f[b[3]*c[2]]*f[a[1]*b[1]*c[4]])/14348907 + 
  (21248000*f[a[1]^3]*f[b[3]*c[2]]*f[a[1]*b[1]*c[4]])/129140163 - 
  (531200000*f[a[1]^5]*f[b[3]*c[2]]*f[a[1]*b[1]*c[4]])/3486784401 - 
  (110489600*f[a[1]*a[2]^2]*f[b[3]*c[2]]*f[a[1]*b[1]*c[4]])/
   3486784401 + (4249600*f[a[3]]*f[b[3]*c[2]]*f[a[1]*b[1]*c[4]])/
   129140163 - (97740800*f[a[1]^2*a[3]]*f[b[3]*c[2]]*
     f[a[1]*b[1]*c[4]])/1162261467 - 
  (276224000*f[a[5]]*f[b[3]*c[2]]*f[a[1]*b[1]*c[4]])/10460353203 - 
  (25139200*f[a[1]*b[1]*c[1]]*f[b[3]*c[2]]*f[a[1]*b[1]*c[4]])/
   129140163 + (125696000*f[a[1]^3*b[1]*c[1]]*f[b[3]*c[2]]*
     f[a[1]*b[1]*c[4]])/1162261467 + 
  (25139200*f[a[3]*b[1]*c[1]]*f[b[3]*c[2]]*f[a[1]*b[1]*c[4]])/
   1162261467 + (3344957440*f[a[2]*b[2]*c[1]]*f[b[3]*c[2]]*
     f[a[1]*b[1]*c[4]])/31381059609 - 
  (217579520*f[a[1]*b[3]*c[1]]*f[b[3]*c[2]]*f[a[1]*b[1]*c[4]])/
   3486784401 + (922746880*f[a[2]*b[1]*c[2]]*f[b[3]*c[2]]*
     f[a[1]*b[1]*c[4]])/10460353203 + 
  (1747916800*f[a[1]*b[2]*c[2]]*f[b[3]*c[2]]*f[a[1]*b[1]*c[4]])/
   10460353203 - (4249600*f[1]*f[a[1]*b[3]*c[2]]*f[a[1]*b[1]*c[4]])/
   14348907 - (4249600*f[a[1]^2]*f[a[1]*b[3]*c[2]]*f[a[1]*b[1]*c[4]])/
   14348907 + (1253632000*f[a[1]^4]*f[a[1]*b[3]*c[2]]*
     f[a[1]*b[1]*c[4]])/3486784401 - 
  (48339200000*f[a[1]^6]*f[a[1]*b[3]*c[2]]*f[a[1]*b[1]*c[4]])/
   94143178827 + (1844326400*f[a[2]^2]*f[a[1]*b[3]*c[2]]*
     f[a[1]*b[1]*c[4]])/10460353203 - 
  (19828633600*f[a[1]^2*a[2]^2]*f[a[1]*b[3]*c[2]]*f[a[1]*b[1]*c[4]])/
   282429536481 - (4351590400*f[a[1]^3*a[3]]*f[a[1]*b[3]*c[2]]*
     f[a[1]*b[1]*c[4]])/31381059609 + 
  (3386931200*f[a[3]^2]*f[a[1]*b[3]*c[2]]*f[a[1]*b[1]*c[4]])/
   94143178827 - (17406361600*f[a[2]*a[4]]*f[a[1]*b[3]*c[2]]*
     f[a[1]*b[1]*c[4]])/282429536481 - 
  (25139200*f[b[1]*c[1]]*f[a[1]*b[3]*c[2]]*f[a[1]*b[1]*c[4]])/
   129140163 - (25139200*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[3]*c[2]]*
     f[a[1]*b[1]*c[4]])/129140163 + 
  (7416064000*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[3]*c[2]]*f[a[1]*b[1]*c[4]])/
   31381059609 + (10910412800*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[3]*c[2]]*
     f[a[1]*b[1]*c[4]])/94143178827 - 
  (217579520*f[b[3]*c[1]]*f[a[1]*b[3]*c[2]]*f[a[1]*b[1]*c[4]])/
   3486784401 - (217579520*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[3]*c[2]]*
     f[a[1]*b[1]*c[4]])/3486784401 - 
  (81802035200*f[b[5]*c[1]]*f[a[1]*b[3]*c[2]]*f[a[1]*b[1]*c[4]])/
   847288609443 + (1747916800*f[b[2]*c[2]]*f[a[1]*b[3]*c[2]]*
     f[a[1]*b[1]*c[4]])/10460353203 + 
  (1747916800*f[a[1]^2*b[2]*c[2]]*f[a[1]*b[3]*c[2]]*f[a[1]*b[1]*c[4]])/
   10460353203 + (432373760*f[a[2]]*f[b[4]*c[2]]*f[a[1]*b[1]*c[4]])/
   1162261467 - (2161868800*f[a[1]^2*a[2]]*f[b[4]*c[2]]*
     f[a[1]*b[1]*c[4]])/31381059609 + 
  (10809344000*f[a[1]^4*a[2]]*f[b[4]*c[2]]*f[a[1]*b[1]*c[4]])/
   282429536481 + (11241717760*f[a[2]^3]*f[b[4]*c[2]]*
     f[a[1]*b[1]*c[4]])/94143178827 + 
  (13835960320*f[a[1]*a[2]*a[3]]*f[b[4]*c[2]]*f[a[1]*b[1]*c[4]])/
   282429536481 - (1729495040*f[a[4]]*f[b[4]*c[2]]*f[a[1]*b[1]*c[4]])/
   10460353203 + (8647475200*f[a[1]^2*a[4]]*f[b[4]*c[2]]*
     f[a[1]*b[1]*c[4]])/282429536481 + 
  (10809344000*f[a[6]]*f[b[4]*c[2]]*f[a[1]*b[1]*c[4]])/94143178827 + 
  (7720960000*f[a[2]*b[1]*c[1]]*f[b[4]*c[2]]*f[a[1]*b[1]*c[4]])/
   31381059609 - (38604800000*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[4]*c[2]]*
     f[a[1]*b[1]*c[4]])/847288609443 - 
  (30883840000*f[a[4]*b[1]*c[1]]*f[b[4]*c[2]]*f[a[1]*b[1]*c[4]])/
   282429536481 - (21316501504*f[a[1]*b[2]*c[1]]*f[b[4]*c[2]]*
     f[a[1]*b[1]*c[4]])/94143178827 + 
  (106582507520*f[a[1]^3*b[2]*c[1]]*f[b[4]*c[2]]*f[a[1]*b[1]*c[4]])/
   847288609443 + (21316501504*f[a[3]*b[2]*c[1]]*f[b[4]*c[2]]*
     f[a[1]*b[1]*c[4]])/847288609443 + 
  (6872367104*f[a[2]*b[3]*c[1]]*f[b[4]*c[2]]*f[a[1]*b[1]*c[4]])/
   94143178827 + (27671920640*f[a[1]*b[4]*c[1]]*f[b[4]*c[2]]*
     f[a[1]*b[1]*c[4]])/282429536481 - 
  (4430233600*f[a[1]*b[1]*c[2]]*f[b[4]*c[2]]*f[a[1]*b[1]*c[4]])/
   31381059609 + (22151168000*f[a[1]^3*b[1]*c[2]]*f[b[4]*c[2]]*
     f[a[1]*b[1]*c[4]])/282429536481 + 
  (4430233600*f[a[3]*b[1]*c[2]]*f[b[4]*c[2]]*f[a[1]*b[1]*c[4]])/
   282429536481 - (511407063040*f[a[2]*b[2]*c[2]]*f[b[4]*c[2]]*
     f[a[1]*b[1]*c[4]])/2541865828329 + 
  (45890928640*f[a[1]*b[3]*c[2]]*f[b[4]*c[2]]*f[a[1]*b[1]*c[4]])/
   282429536481 + (40738816*f[a[2]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[1]*b[1]*c[4]])/3486784401 - 
  (203694080*f[a[1]^2*a[2]]*f[b[1]*b[2]*c[1]*c[2]]*f[a[1]*b[1]*c[4]])/
   94143178827 + (1018470400*f[a[1]^4*a[2]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[1]*b[1]*c[4]])/847288609443 + 
  (1059209216*f[a[2]^3]*f[b[1]*b[2]*c[1]*c[2]]*f[a[1]*b[1]*c[4]])/
   282429536481 + (1303642112*f[a[1]*a[2]*a[3]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[1]*b[1]*c[4]])/847288609443 - 
  (162955264*f[a[4]]*f[b[1]*b[2]*c[1]*c[2]]*f[a[1]*b[1]*c[4]])/
   31381059609 + (814776320*f[a[1]^2*a[4]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[1]*b[1]*c[4]])/847288609443 + 
  (1018470400*f[a[6]]*f[b[1]*b[2]*c[1]*c[2]]*f[a[1]*b[1]*c[4]])/
   282429536481 + (44646400*f[a[2]*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[1]*b[1]*c[4]])/1162261467 - 
  (223232000*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[1]*b[1]*c[4]])/31381059609 - 
  (178585600*f[a[4]*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[1]*b[1]*c[4]])/10460353203 - 
  (1515745280*f[a[1]*b[2]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[1]*b[1]*c[4]])/31381059609 + 
  (7578726400*f[a[1]^3*b[2]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[1]*b[1]*c[4]])/282429536481 + 
  (1515745280*f[a[3]*b[2]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[1]*b[1]*c[4]])/282429536481 - 
  (10149191680*f[a[2]*b[3]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[1]*b[1]*c[4]])/282429536481 - 
  (83518447616*f[a[1]*b[4]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[1]*b[1]*c[4]])/847288609443 + 
  (136468480*f[a[1]*b[1]*c[2]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[1]*b[1]*c[4]])/3486784401 - 
  (682342400*f[a[1]^3*b[1]*c[2]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[1]*b[1]*c[4]])/31381059609 - 
  (136468480*f[a[3]*b[1]*c[2]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[1]*b[1]*c[4]])/31381059609 + 
  (74129678336*f[a[2]*b[2]*c[2]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[1]*b[1]*c[4]])/2541865828329 + 
  (47666075648*f[a[1]*b[3]*c[2]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[1]*b[1]*c[4]])/847288609443 + 
  (532480*f[a[2]]*f[b[1]*c[3]]*f[a[1]*b[1]*c[4]])/43046721 - 
  (2662400*f[a[1]^2*a[2]]*f[b[1]*c[3]]*f[a[1]*b[1]*c[4]])/1162261467 + 
  (13312000*f[a[1]^4*a[2]]*f[b[1]*c[3]]*f[a[1]*b[1]*c[4]])/
   10460353203 + (13844480*f[a[2]^3]*f[b[1]*c[3]]*f[a[1]*b[1]*c[4]])/
   3486784401 + (17039360*f[a[1]*a[2]*a[3]]*f[b[1]*c[3]]*
     f[a[1]*b[1]*c[4]])/10460353203 - 
  (2129920*f[a[4]]*f[b[1]*c[3]]*f[a[1]*b[1]*c[4]])/387420489 + 
  (10649600*f[a[1]^2*a[4]]*f[b[1]*c[3]]*f[a[1]*b[1]*c[4]])/
   10460353203 + (13312000*f[a[6]]*f[b[1]*c[3]]*f[a[1]*b[1]*c[4]])/
   3486784401 + (532480*f[a[2]*b[1]*c[1]]*f[b[1]*c[3]]*
     f[a[1]*b[1]*c[4]])/43046721 - 
  (2662400*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[1]*c[3]]*f[a[1]*b[1]*c[4]])/
   1162261467 - (2129920*f[a[4]*b[1]*c[1]]*f[b[1]*c[3]]*
     f[a[1]*b[1]*c[4]])/387420489 + 
  (20185088*f[a[1]*b[2]*c[1]]*f[b[1]*c[3]]*f[a[1]*b[1]*c[4]])/
   1162261467 - (100925440*f[a[1]^3*b[2]*c[1]]*f[b[1]*c[3]]*
     f[a[1]*b[1]*c[4]])/10460353203 - 
  (20185088*f[a[3]*b[2]*c[1]]*f[b[1]*c[3]]*f[a[1]*b[1]*c[4]])/
   10460353203 - (2287992832*f[a[2]*b[3]*c[1]]*f[b[1]*c[3]]*
     f[a[1]*b[1]*c[4]])/31381059609 - 
  (170393600*f[a[1]*b[4]*c[1]]*f[b[1]*c[3]]*f[a[1]*b[1]*c[4]])/
   3486784401 + (1283891200*f[a[2]*b[2]*c[2]]*f[b[1]*c[3]]*
     f[a[1]*b[1]*c[4]])/94143178827 - 
  (1680343040*f[a[1]*b[3]*c[2]]*f[b[1]*c[3]]*f[a[1]*b[1]*c[4]])/
   31381059609 + (20185088*f[b[2]*c[1]]*f[a[1]*b[1]*c[3]]*
     f[a[1]*b[1]*c[4]])/1162261467 + 
  (20185088*f[a[1]^2*b[2]*c[1]]*f[a[1]*b[1]*c[3]]*f[a[1]*b[1]*c[4]])/
   1162261467 - (170393600*f[b[4]*c[1]]*f[a[1]*b[1]*c[3]]*
     f[a[1]*b[1]*c[4]])/3486784401 - 
  (1680343040*f[b[3]*c[2]]*f[a[1]*b[1]*c[3]]*f[a[1]*b[1]*c[4]])/
   31381059609 - (19701760*f[a[2]]*f[a[1]^2*b[1]*c[3]]*
     f[a[1]*b[1]*c[4]])/1162261467 - 
  (58040320*f[a[1]^2*a[2]]*f[a[1]^2*b[1]*c[3]]*f[a[1]*b[1]*c[4]])/
   10460353203 + (2233753600*f[a[1]^4*a[2]]*f[a[1]^2*b[1]*c[3]]*
     f[a[1]*b[1]*c[4]])/282429536481 + 
  (2825338880*f[a[2]^3]*f[a[1]^2*b[1]*c[3]]*f[a[1]*b[1]*c[4]])/
   282429536481 - (119275520*f[a[1]*a[2]*a[3]]*f[a[1]^2*b[1]*c[3]]*
     f[a[1]*b[1]*c[4]])/94143178827 + 
  (78807040*f[a[4]]*f[a[1]^2*b[1]*c[3]]*f[a[1]*b[1]*c[4]])/
   10460353203 + (232161280*f[a[1]^2*a[4]]*f[a[1]^2*b[1]*c[3]]*
     f[a[1]*b[1]*c[4]])/94143178827 - 
  (492544000*f[a[6]]*f[a[1]^2*b[1]*c[3]]*f[a[1]*b[1]*c[4]])/
   94143178827 - (19701760*f[a[2]*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]]*
     f[a[1]*b[1]*c[4]])/1162261467 - 
  (58040320*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]]*
     f[a[1]*b[1]*c[4]])/10460353203 + 
  (78807040*f[a[4]*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]]*f[a[1]*b[1]*c[4]])/
   10460353203 + (20185088*f[a[1]*b[2]*c[1]]*f[a[1]^2*b[1]*c[3]]*
     f[a[1]*b[1]*c[4]])/1162261467 + 
  (7609778176*f[a[1]^3*b[2]*c[1]]*f[a[1]^2*b[1]*c[3]]*
     f[a[1]*b[1]*c[4]])/282429536481 - 
  (20185088*f[a[3]*b[2]*c[1]]*f[a[1]^2*b[1]*c[3]]*f[a[1]*b[1]*c[4]])/
   10460353203 + (84655734784*f[a[2]*b[3]*c[1]]*f[a[1]^2*b[1]*c[3]]*
     f[a[1]*b[1]*c[4]])/847288609443 - 
  (170393600*f[a[1]*b[4]*c[1]]*f[a[1]^2*b[1]*c[3]]*f[a[1]*b[1]*c[4]])/
   3486784401 - (47503974400*f[a[2]*b[2]*c[2]]*f[a[1]^2*b[1]*c[3]]*
     f[a[1]*b[1]*c[4]])/2541865828329 - 
  (1680343040*f[a[1]*b[3]*c[2]]*f[a[1]^2*b[1]*c[3]]*f[a[1]*b[1]*c[4]])/
   31381059609 - (532480*f[1]*f[a[2]*b[1]*c[3]]*f[a[1]*b[1]*c[4]])/
   43046721 + (19701760*f[a[1]^2]*f[a[2]*b[1]*c[3]]*f[a[1]*b[1]*c[4]])/
   1162261467 - (61235200*f[a[1]^4]*f[a[2]*b[1]*c[3]]*
     f[a[1]*b[1]*c[4]])/3486784401 + 
  (6722560000*f[a[1]^6]*f[a[2]*b[1]*c[3]]*f[a[1]*b[1]*c[4]])/
   282429536481 - (286474240*f[a[2]^2]*f[a[2]*b[1]*c[3]]*
     f[a[1]*b[1]*c[4]])/10460353203 + 
  (625131520*f[a[1]^2*a[2]^2]*f[a[2]*b[1]*c[3]]*f[a[1]*b[1]*c[4]])/
   94143178827 + (34078720*f[a[1]*a[3]]*f[a[2]*b[1]*c[3]]*
     f[a[1]*b[1]*c[4]])/3486784401 + 
  (34078720*f[a[1]^3*a[3]]*f[a[2]*b[1]*c[3]]*f[a[1]*b[1]*c[4]])/
   94143178827 - (291266560*f[a[3]^2]*f[a[2]*b[1]*c[3]]*
     f[a[1]*b[1]*c[4]])/282429536481 + 
  (2181038080*f[a[2]*a[4]]*f[a[2]*b[1]*c[3]]*f[a[1]*b[1]*c[4]])/
   282429536481 - (851968000*f[a[1]*a[5]]*f[a[2]*b[1]*c[3]]*
     f[a[1]*b[1]*c[4]])/282429536481 - 
  (532480*f[b[1]*c[1]]*f[a[2]*b[1]*c[3]]*f[a[1]*b[1]*c[4]])/43046721 + 
  (19701760*f[a[1]^2*b[1]*c[1]]*f[a[2]*b[1]*c[3]]*f[a[1]*b[1]*c[4]])/
   1162261467 - (61235200*f[a[1]^4*b[1]*c[1]]*f[a[2]*b[1]*c[3]]*
     f[a[1]*b[1]*c[4]])/3486784401 - 
  (286474240*f[a[2]^2*b[1]*c[1]]*f[a[2]*b[1]*c[3]]*f[a[1]*b[1]*c[4]])/
   10460353203 + (34078720*f[a[1]*a[3]*b[1]*c[1]]*f[a[2]*b[1]*c[3]]*
     f[a[1]*b[1]*c[4]])/3486784401 - 
  (10334765056*f[a[1]*a[2]*b[2]*c[1]]*f[a[2]*b[1]*c[3]]*
     f[a[1]*b[1]*c[4]])/847288609443 + 
  (2287992832*f[b[3]*c[1]]*f[a[2]*b[1]*c[3]]*f[a[1]*b[1]*c[4]])/
   31381059609 - (84655734784*f[a[1]^2*b[3]*c[1]]*f[a[2]*b[1]*c[3]]*
     f[a[1]*b[1]*c[4]])/847288609443 + 
  (12970885120*f[b[5]*c[1]]*f[a[2]*b[1]*c[3]]*f[a[1]*b[1]*c[4]])/
   282429536481 - (1283891200*f[b[2]*c[2]]*f[a[2]*b[1]*c[3]]*
     f[a[1]*b[1]*c[4]])/94143178827 + 
  (47503974400*f[a[1]^2*b[2]*c[2]]*f[a[2]*b[1]*c[3]]*
     f[a[1]*b[1]*c[4]])/2541865828329 - 
  (4771020800*f[b[4]*c[2]]*f[a[2]*b[1]*c[3]]*f[a[1]*b[1]*c[4]])/
   847288609443 - (1283891200*f[b[1]*b[2]*c[1]*c[2]]*f[a[2]*b[1]*c[3]]*
     f[a[1]*b[1]*c[4]])/94143178827 + 
  (512000*f[a[1]]*f[b[2]*c[3]]*f[a[1]*b[1]*c[4]])/129140163 - 
  (2560000*f[a[1]^3]*f[b[2]*c[3]]*f[a[1]*b[1]*c[4]])/1162261467 + 
  (64000000*f[a[1]^5]*f[b[2]*c[3]]*f[a[1]*b[1]*c[4]])/31381059609 + 
  (13312000*f[a[1]*a[2]^2]*f[b[2]*c[3]]*f[a[1]*b[1]*c[4]])/
   31381059609 - (512000*f[a[3]]*f[b[2]*c[3]]*f[a[1]*b[1]*c[4]])/
   1162261467 + (11776000*f[a[1]^2*a[3]]*f[b[2]*c[3]]*
     f[a[1]*b[1]*c[4]])/10460353203 + 
  (33280000*f[a[5]]*f[b[2]*c[3]]*f[a[1]*b[1]*c[4]])/94143178827 + 
  (11161600*f[a[1]*b[1]*c[1]]*f[b[2]*c[3]]*f[a[1]*b[1]*c[4]])/
   1162261467 - (55808000*f[a[1]^3*b[1]*c[1]]*f[b[2]*c[3]]*
     f[a[1]*b[1]*c[4]])/10460353203 - 
  (11161600*f[a[3]*b[1]*c[1]]*f[b[2]*c[3]]*f[a[1]*b[1]*c[4]])/
   10460353203 + (209715200*f[a[2]*b[2]*c[1]]*f[b[2]*c[3]]*
     f[a[1]*b[1]*c[4]])/94143178827 - 
  (4082892800*f[a[1]*b[3]*c[1]]*f[b[2]*c[3]]*f[a[1]*b[1]*c[4]])/
   94143178827 + (618659840*f[a[2]*b[1]*c[2]]*f[b[2]*c[3]]*
     f[a[1]*b[1]*c[4]])/94143178827 + 
  (203264000*f[a[1]*b[2]*c[2]]*f[b[2]*c[3]]*f[a[1]*b[1]*c[4]])/
   31381059609 - (100925440*f[a[1]*b[1]*c[3]]*f[b[2]*c[3]]*
     f[a[1]*b[1]*c[4]])/31381059609 + 
  (512000*f[1]*f[a[1]*b[2]*c[3]]*f[a[1]*b[1]*c[4]])/129140163 + 
  (512000*f[a[1]^2]*f[a[1]*b[2]*c[3]]*f[a[1]*b[1]*c[4]])/129140163 - 
  (151040000*f[a[1]^4]*f[a[1]*b[2]*c[3]]*f[a[1]*b[1]*c[4]])/
   31381059609 + (5824000000*f[a[1]^6]*f[a[1]*b[2]*c[3]]*
     f[a[1]*b[1]*c[4]])/847288609443 - 
  (222208000*f[a[2]^2]*f[a[1]*b[2]*c[3]]*f[a[1]*b[1]*c[4]])/
   94143178827 + (2388992000*f[a[1]^2*a[2]^2]*f[a[1]*b[2]*c[3]]*
     f[a[1]*b[1]*c[4]])/2541865828329 + 
  (524288000*f[a[1]^3*a[3]]*f[a[1]*b[2]*c[3]]*f[a[1]*b[1]*c[4]])/
   282429536481 - (408064000*f[a[3]^2]*f[a[1]*b[2]*c[3]]*
     f[a[1]*b[1]*c[4]])/847288609443 + 
  (2097152000*f[a[2]*a[4]]*f[a[1]*b[2]*c[3]]*f[a[1]*b[1]*c[4]])/
   2541865828329 + (11161600*f[b[1]*c[1]]*f[a[1]*b[2]*c[3]]*
     f[a[1]*b[1]*c[4]])/1162261467 + 
  (11161600*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[2]*c[3]]*f[a[1]*b[1]*c[4]])/
   1162261467 - (3292672000*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[2]*c[3]]*
     f[a[1]*b[1]*c[4]])/282429536481 - 
  (4844134400*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[2]*c[3]]*f[a[1]*b[1]*c[4]])/
   847288609443 - (4082892800*f[b[3]*c[1]]*f[a[1]*b[2]*c[3]]*
     f[a[1]*b[1]*c[4]])/94143178827 - 
  (4082892800*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[2]*c[3]]*f[a[1]*b[1]*c[4]])/
   94143178827 - (97550336000*f[b[5]*c[1]]*f[a[1]*b[2]*c[3]]*
     f[a[1]*b[1]*c[4]])/2541865828329 + 
  (203264000*f[b[2]*c[2]]*f[a[1]*b[2]*c[3]]*f[a[1]*b[1]*c[4]])/
   31381059609 + (203264000*f[a[1]^2*b[2]*c[2]]*f[a[1]*b[2]*c[3]]*
     f[a[1]*b[1]*c[4]])/31381059609 + 
  (130175467520*f[b[4]*c[2]]*f[a[1]*b[2]*c[3]]*f[a[1]*b[1]*c[4]])/
   2541865828329 + (55718088704*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[1]*b[2]*c[3]]*f[a[1]*b[1]*c[4]])/2541865828329 - 
  (100925440*f[b[1]*c[3]]*f[a[1]*b[2]*c[3]]*f[a[1]*b[1]*c[4]])/
   31381059609 - (100925440*f[a[1]^2*b[1]*c[3]]*f[a[1]*b[2]*c[3]]*
     f[a[1]*b[1]*c[4]])/31381059609 + 
  (16998400*f[a[2]]*f[b[3]*c[3]]*f[a[1]*b[1]*c[4]])/387420489 - 
  (84992000*f[a[1]^2*a[2]]*f[b[3]*c[3]]*f[a[1]*b[1]*c[4]])/
   10460353203 + (424960000*f[a[1]^4*a[2]]*f[b[3]*c[3]]*
     f[a[1]*b[1]*c[4]])/94143178827 + 
  (441958400*f[a[2]^3]*f[b[3]*c[3]]*f[a[1]*b[1]*c[4]])/31381059609 + 
  (543948800*f[a[1]*a[2]*a[3]]*f[b[3]*c[3]]*f[a[1]*b[1]*c[4]])/
   94143178827 - (67993600*f[a[4]]*f[b[3]*c[3]]*f[a[1]*b[1]*c[4]])/
   3486784401 + (339968000*f[a[1]^2*a[4]]*f[b[3]*c[3]]*
     f[a[1]*b[1]*c[4]])/94143178827 + 
  (424960000*f[a[6]]*f[b[3]*c[3]]*f[a[1]*b[1]*c[4]])/31381059609 + 
  (312623104*f[a[2]*b[1]*c[1]]*f[b[3]*c[3]]*f[a[1]*b[1]*c[4]])/
   31381059609 - (1563115520*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[3]*c[3]]*
     f[a[1]*b[1]*c[4]])/847288609443 - 
  (1250492416*f[a[4]*b[1]*c[1]]*f[b[3]*c[3]]*f[a[1]*b[1]*c[4]])/
   282429536481 + (6822645760*f[a[1]*b[2]*c[1]]*f[b[3]*c[3]]*
     f[a[1]*b[1]*c[4]])/94143178827 - 
  (34113228800*f[a[1]^3*b[2]*c[1]]*f[b[3]*c[3]]*f[a[1]*b[1]*c[4]])/
   847288609443 - (6822645760*f[a[3]*b[2]*c[1]]*f[b[3]*c[3]]*
     f[a[1]*b[1]*c[4]])/847288609443 - 
  (39065722880*f[a[2]*b[3]*c[1]]*f[b[3]*c[3]]*f[a[1]*b[1]*c[4]])/
   282429536481 + (69176025088*f[a[1]*b[4]*c[1]]*f[b[3]*c[3]]*
     f[a[1]*b[1]*c[4]])/847288609443 + 
  (48424960*f[a[1]*b[1]*c[2]]*f[b[3]*c[3]]*f[a[1]*b[1]*c[4]])/
   31381059609 - (242124800*f[a[1]^3*b[1]*c[2]]*f[b[3]*c[3]]*
     f[a[1]*b[1]*c[4]])/282429536481 - 
  (48424960*f[a[3]*b[1]*c[2]]*f[b[3]*c[3]]*f[a[1]*b[1]*c[4]])/
   282429536481 + (123702272000*f[a[2]*b[2]*c[2]]*f[b[3]*c[3]]*
     f[a[1]*b[1]*c[4]])/2541865828329 - 
  (52095846400*f[a[1]*b[3]*c[2]]*f[b[3]*c[3]]*f[a[1]*b[1]*c[4]])/
   282429536481 + (3227770880*f[a[2]*b[1]*c[3]]*f[b[3]*c[3]]*
     f[a[1]*b[1]*c[4]])/282429536481 - 
  (12769177600*f[a[1]*b[2]*c[3]]*f[b[3]*c[3]]*f[a[1]*b[1]*c[4]])/
   847288609443 + (346112*f[a[1]]*f[b[1]*c[4]]*f[a[1]*b[1]*c[4]])/
   14348907 - (1730560*f[a[1]^3]*f[b[1]*c[4]]*f[a[1]*b[1]*c[4]])/
   129140163 + (43264000*f[a[1]^5]*f[b[1]*c[4]]*f[a[1]*b[1]*c[4]])/
   3486784401 + (8998912*f[a[1]*a[2]^2]*f[b[1]*c[4]]*
     f[a[1]*b[1]*c[4]])/3486784401 - 
  (346112*f[a[3]]*f[b[1]*c[4]]*f[a[1]*b[1]*c[4]])/129140163 + 
  (7960576*f[a[1]^2*a[3]]*f[b[1]*c[4]]*f[a[1]*b[1]*c[4]])/1162261467 + 
  (22497280*f[a[5]]*f[b[1]*c[4]]*f[a[1]*b[1]*c[4]])/10460353203 + 
  (346112*f[a[1]*b[1]*c[1]]*f[b[1]*c[4]]*f[a[1]*b[1]*c[4]])/14348907 - 
  (1730560*f[a[1]^3*b[1]*c[1]]*f[b[1]*c[4]]*f[a[1]*b[1]*c[4]])/
   129140163 - (346112*f[a[3]*b[1]*c[1]]*f[b[1]*c[4]]*
     f[a[1]*b[1]*c[4]])/129140163 - 
  (68157440*f[a[1]*b[3]*c[1]]*f[b[1]*c[4]]*f[a[1]*b[1]*c[4]])/
   1162261467 + (47310848*f[a[1]*b[2]*c[2]]*f[b[1]*c[4]]*
     f[a[1]*b[1]*c[4]])/31381059609 + 
  (173056*f[1]*f[a[1]*b[1]*c[4]]^2)/14348907 + 
  (173056*f[a[1]^2]*f[a[1]*b[1]*c[4]]^2)/14348907 - 
  (51051520*f[a[1]^4]*f[a[1]*b[1]*c[4]]^2)/3486784401 + 
  (1968512000*f[a[1]^6]*f[a[1]*b[1]*c[4]]^2)/94143178827 - 
  (75106304*f[a[2]^2]*f[a[1]*b[1]*c[4]]^2)/10460353203 + 
  (807479296*f[a[1]^2*a[2]^2]*f[a[1]*b[1]*c[4]]^2)/282429536481 + 
  (177209344*f[a[1]^3*a[3]]*f[a[1]*b[1]*c[4]]^2)/31381059609 - 
  (137925632*f[a[3]^2]*f[a[1]*b[1]*c[4]]^2)/94143178827 + 
  (708837376*f[a[2]*a[4]]*f[a[1]*b[1]*c[4]]^2)/282429536481 + 
  (173056*f[b[1]*c[1]]*f[a[1]*b[1]*c[4]]^2)/14348907 + 
  (173056*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[1]*c[4]]^2)/14348907 - 
  (51051520*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[1]*c[4]]^2)/3486784401 - 
  (75106304*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[1]*c[4]]^2)/10460353203 - 
  (34078720*f[b[3]*c[1]]*f[a[1]*b[1]*c[4]]^2)/1162261467 - 
  (34078720*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[1]*c[4]]^2)/1162261467 - 
  (22457876480*f[b[5]*c[1]]*f[a[1]*b[1]*c[4]]^2)/847288609443 + 
  (23655424*f[b[2]*c[2]]*f[a[1]*b[1]*c[4]]^2)/31381059609 + 
  (23655424*f[a[1]^2*b[2]*c[2]]*f[a[1]*b[1]*c[4]]^2)/31381059609 + 
  (11518607360*f[b[4]*c[2]]*f[a[1]*b[1]*c[4]]^2)/282429536481 + 
  (23655424*f[b[1]*b[2]*c[1]*c[2]]*f[a[1]*b[1]*c[4]]^2)/31381059609 - 
  (962630656*f[b[3]*c[3]]*f[a[1]*b[1]*c[4]]^2)/282429536481 - 
  (800*f[1]^2*f[b[2]*c[4]])/6561 - 
  (12800*f[a[1]]^2*f[b[2]*c[4]])/177147 + 
  (8000*f[1]*f[a[1]^2]*f[b[2]*c[4]])/177147 - 
  (143200*f[a[1]^2]^2*f[b[2]*c[4]])/1594323 + 
  (128000*f[a[1]]*f[a[1]^3]*f[b[2]*c[4]])/1594323 - 
  (7513600*f[a[1]^3]^2*f[b[2]*c[4]])/43046721 - 
  (40000*f[1]*f[a[1]^4]*f[b[2]*c[4]])/1594323 + 
  (8392000*f[a[1]^2]*f[a[1]^4]*f[b[2]*c[4]])/43046721 - 
  (543810400*f[a[1]^4]^2*f[b[2]*c[4]])/1162261467 - 
  (3200000*f[a[1]]*f[a[1]^5]*f[b[2]*c[4]])/43046721 + 
  (703360000*f[a[1]^3]*f[a[1]^5]*f[b[2]*c[4]])/1162261467 - 
  (16846144000*f[a[1]^5]^2*f[b[2]*c[4]])/10460353203 + 
  (1000000*f[1]*f[a[1]^6]*f[b[2]*c[4]])/43046721 - 
  (312200000*f[a[1]^2]*f[a[1]^6]*f[b[2]*c[4]])/1162261467 + 
  (2674280000*f[a[1]^4]*f[a[1]^6]*f[b[2]*c[4]])/1162261467 - 
  (639362108000*f[a[1]^6]^2*f[b[2]*c[4]])/94143178827 + 
  (204800*f[a[2]]^2*f[b[2]*c[4]])/1594323 + 
  (13107200*f[a[1]*a[2]]^2*f[b[2]*c[4]])/129140163 - 
  (2048000*f[a[2]]*f[a[1]^2*a[2]]*f[b[2]*c[4]])/43046721 + 
  (539648000*f[a[1]^2*a[2]]^2*f[b[2]*c[4]])/3486784401 - 
  (131072000*f[a[1]*a[2]]*f[a[1]^3*a[2]]*f[b[2]*c[4]])/1162261467 + 
  (3683123200*f[a[1]^3*a[2]]^2*f[b[2]*c[4]])/10460353203 + 
  (10240000*f[a[2]]*f[a[1]^4*a[2]]*f[b[2]*c[4]])/387420489 - 
  (10639360000*f[a[1]^2*a[2]]*f[a[1]^4*a[2]]*f[b[2]*c[4]])/
   31381059609 + (910057676800*f[a[1]^4*a[2]]^2*f[b[2]*c[4]])/
   847288609443 - (41600*f[1]*f[a[2]^2]*f[b[2]*c[4]])/1594323 - 
  (12483200*f[a[1]^2]*f[a[2]^2]*f[b[2]*c[4]])/129140163 + 
  (127952000*f[a[1]^4]*f[a[2]^2]*f[b[2]*c[4]])/1162261467 - 
  (1612400000*f[a[1]^6]*f[a[2]^2]*f[b[2]*c[4]])/10460353203 - 
  (35132800*f[a[2]^2]^2*f[b[2]*c[4]])/129140163 - 
  (665600*f[a[1]]*f[a[1]*a[2]^2]*f[b[2]*c[4]])/43046721 - 
  (199731200*f[a[1]^3]*f[a[1]*a[2]^2]*f[b[2]*c[4]])/1162261467 + 
  (10236160000*f[a[1]^5]*f[a[1]*a[2]^2]*f[b[2]*c[4]])/31381059609 - 
  (8414566400*f[a[1]*a[2]^2]^2*f[b[2]*c[4]])/31381059609 + 
  (208000*f[1]*f[a[1]^2*a[2]^2]*f[b[2]*c[4]])/43046721 - 
  (1481600*f[a[1]^2]*f[a[1]^2*a[2]^2]*f[b[2]*c[4]])/3486784401 - 
  (1491395200*f[a[1]^4]*f[a[1]^2*a[2]^2]*f[b[2]*c[4]])/3486784401 + 
  (111873040000*f[a[1]^6]*f[a[1]^2*a[2]^2]*f[b[2]*c[4]])/94143178827 + 
  (2821164800*f[a[2]^2]*f[a[1]^2*a[2]^2]*f[b[2]*c[4]])/31381059609 - 
  (1202210844800*f[a[1]^2*a[2]^2]^2*f[b[2]*c[4]])/2541865828329 + 
  (10649600*f[a[2]]*f[a[2]^3]*f[b[2]*c[4]])/129140163 + 
  (3195699200*f[a[1]^2*a[2]]*f[a[2]^3]*f[b[2]*c[4]])/10460353203 - 
  (32755712000*f[a[1]^4*a[2]]*f[a[2]^3]*f[b[2]*c[4]])/94143178827 + 
  (27258880000*f[a[2]^3]^2*f[b[2]*c[4]])/31381059609 + 
  (25600*f[a[1]]*f[a[3]]*f[b[2]*c[4]])/1594323 - 
  (128000*f[a[1]^3]*f[a[3]]*f[b[2]*c[4]])/14348907 + 
  (3200000*f[a[1]^5]*f[a[3]]*f[b[2]*c[4]])/387420489 + 
  (665600*f[a[1]*a[2]^2]*f[a[3]]*f[b[2]*c[4]])/387420489 - 
  (8230400*f[a[3]]^2*f[b[2]*c[4]])/43046721 - 
  (51200*f[1]*f[a[1]*a[3]]*f[b[2]*c[4]])/1594323 + 
  (358400*f[a[1]^2]*f[a[1]*a[3]]*f[b[2]*c[4]])/14348907 - 
  (9472000*f[a[1]^4]*f[a[1]*a[3]]*f[b[2]*c[4]])/387420489 + 
  (339200000*f[a[1]^6]*f[a[1]*a[3]]*f[b[2]*c[4]])/10460353203 - 
  (66867200*f[a[2]^2]*f[a[1]*a[3]]*f[b[2]*c[4]])/387420489 + 
  (355635200*f[a[1]^2*a[2]^2]*f[a[1]*a[3]]*f[b[2]*c[4]])/10460353203 - 
  (134758400*f[a[1]*a[3]]^2*f[b[2]*c[4]])/1162261467 - 
  (588800*f[a[1]]*f[a[1]^2*a[3]]*f[b[2]*c[4]])/14348907 + 
  (21939200*f[a[1]^3]*f[a[1]^2*a[3]]*f[b[2]*c[4]])/387420489 - 
  (876160000*f[a[1]^5]*f[a[1]^2*a[3]]*f[b[2]*c[4]])/10460353203 - 
  (6219520000*f[a[1]*a[2]^2]*f[a[1]^2*a[3]]*f[b[2]*c[4]])/31381059609 + 
  (87219200*f[a[3]]*f[a[1]^2*a[3]]*f[b[2]*c[4]])/1162261467 - 
  (1546969600*f[a[1]^2*a[3]]^2*f[b[2]*c[4]])/10460353203 + 
  (256000*f[1]*f[a[1]^3*a[3]]*f[b[2]*c[4]])/14348907 - 
  (31590400*f[a[1]^2]*f[a[1]^3*a[3]]*f[b[2]*c[4]])/387420489 + 
  (1767372800*f[a[1]^4]*f[a[1]^3*a[3]]*f[b[2]*c[4]])/10460353203 - 
  (3610880000*f[a[1]^6]*f[a[1]^3*a[3]]*f[b[2]*c[4]])/10460353203 + 
  (583577600*f[a[2]^2]*f[a[1]^3*a[3]]*f[b[2]*c[4]])/10460353203 - 
  (33078169600*f[a[1]^2*a[2]^2]*f[a[1]^3*a[3]]*f[b[2]*c[4]])/
   94143178827 + (1426227200*f[a[1]*a[3]]*f[a[1]^3*a[3]]*f[b[2]*c[4]])/
   10460353203 - (83428556800*f[a[1]^3*a[3]]^2*f[b[2]*c[4]])/
   282429536481 + (26214400*f[a[1]*a[2]]*f[a[2]*a[3]]*f[b[2]*c[4]])/
   387420489 - (131072000*f[a[1]^3*a[2]]*f[a[2]*a[3]]*f[b[2]*c[4]])/
   3486784401 + (2844262400*f[a[2]*a[3]]^2*f[b[2]*c[4]])/10460353203 + 
  (13107200*f[a[2]]*f[a[1]*a[2]*a[3]]*f[b[2]*c[4]])/387420489 + 
  (2110259200*f[a[1]^2*a[2]]*f[a[1]*a[2]*a[3]]*f[b[2]*c[4]])/
   31381059609 - (22085632000*f[a[1]^4*a[2]]*f[a[1]*a[2]*a[3]]*
     f[b[2]*c[4]])/282429536481 + 
  (17118003200*f[a[2]^3]*f[a[1]*a[2]*a[3]]*f[b[2]*c[4]])/31381059609 + 
  (167877017600*f[a[1]*a[2]*a[3]]^2*f[b[2]*c[4]])/847288609443 + 
  (1428800*f[1]*f[a[3]^2]*f[b[2]*c[4]])/43046721 - 
  (9601600*f[a[1]^2]*f[a[3]^2]*f[b[2]*c[4]])/1162261467 + 
  (60296000*f[a[1]^4]*f[a[3]^2]*f[b[2]*c[4]])/10460353203 - 
  (1814600000*f[a[1]^6]*f[a[3]^2]*f[b[2]*c[4]])/282429536481 - 
  (2911971200*f[a[2]^2]*f[a[3]^2]*f[b[2]*c[4]])/10460353203 + 
  (14495958400*f[a[1]^2*a[2]^2]*f[a[3]^2]*f[b[2]*c[4]])/282429536481 + 
  (190822400*f[a[1]*a[3]]*f[a[3]^2]*f[b[2]*c[4]])/3486784401 - 
  (980326400*f[a[1]^3*a[3]]*f[a[3]^2]*f[b[2]*c[4]])/31381059609 - 
  (56662223200*f[a[3]^2]^2*f[b[2]*c[4]])/94143178827 - 
  (1638400*f[a[2]]*f[a[4]]*f[b[2]*c[4]])/129140163 + 
  (8192000*f[a[1]^2*a[2]]*f[a[4]]*f[b[2]*c[4]])/3486784401 - 
  (40960000*f[a[1]^4*a[2]]*f[a[4]]*f[b[2]*c[4]])/31381059609 - 
  (42598400*f[a[2]^3]*f[a[4]]*f[b[2]*c[4]])/10460353203 - 
  (52428800*f[a[1]*a[2]*a[3]]*f[a[4]]*f[b[2]*c[4]])/31381059609 + 
  (291635200*f[a[4]]^2*f[b[2]*c[4]])/1162261467 - 
  (104857600*f[a[1]*a[2]]*f[a[1]*a[4]]*f[b[2]*c[4]])/3486784401 + 
  (524288000*f[a[1]^3*a[2]]*f[a[1]*a[4]]*f[b[2]*c[4]])/31381059609 + 
  (3879731200*f[a[2]*a[3]]*f[a[1]*a[4]]*f[b[2]*c[4]])/31381059609 + 
  (4823449600*f[a[1]*a[4]]^2*f[b[2]*c[4]])/31381059609 + 
  (8192000*f[a[2]]*f[a[1]^2*a[4]]*f[b[2]*c[4]])/3486784401 - 
  (656998400*f[a[1]^2*a[2]]*f[a[1]^2*a[4]]*f[b[2]*c[4]])/10460353203 + 
  (58925056000*f[a[1]^4*a[2]]*f[a[1]^2*a[4]]*f[b[2]*c[4]])/
   847288609443 - (12782796800*f[a[2]^3]*f[a[1]^2*a[4]]*f[b[2]*c[4]])/
   847288609443 + (14103347200*f[a[1]*a[2]*a[3]]*f[a[1]^2*a[4]]*
     f[b[2]*c[4]])/94143178827 - 
  (2916352000*f[a[4]]*f[a[1]^2*a[4]]*f[b[2]*c[4]])/31381059609 + 
  (55558144000*f[a[1]^2*a[4]]^2*f[b[2]*c[4]])/282429536481 + 
  (3276800*f[1]*f[a[2]*a[4]]*f[b[2]*c[4]])/129140163 + 
  (140902400*f[a[1]^2]*f[a[2]*a[4]]*f[b[2]*c[4]])/3486784401 - 
  (1490944000*f[a[1]^4]*f[a[2]*a[4]]*f[b[2]*c[4]])/31381059609 + 
  (56934400000*f[a[1]^6]*f[a[2]*a[4]]*f[b[2]*c[4]])/847288609443 + 
  (308019200*f[a[2]^2]*f[a[2]*a[4]]*f[b[2]*c[4]])/10460353203 - 
  (6553600*f[a[1]^2*a[2]^2]*f[a[2]*a[4]]*f[b[2]*c[4]])/10460353203 - 
  (2569011200*f[a[1]*a[3]]*f[a[2]*a[4]]*f[b[2]*c[4]])/31381059609 + 
  (17878220800*f[a[1]^3*a[3]]*f[a[2]*a[4]]*f[b[2]*c[4]])/282429536481 - 
  (349742694400*f[a[3]^2]*f[a[2]*a[4]]*f[b[2]*c[4]])/847288609443 - 
  (676121804800*f[a[2]*a[4]]^2*f[b[2]*c[4]])/2541865828329 - 
  (1664000*f[a[1]]*f[a[5]]*f[b[2]*c[4]])/129140163 + 
  (8320000*f[a[1]^3]*f[a[5]]*f[b[2]*c[4]])/1162261467 - 
  (208000000*f[a[1]^5]*f[a[5]]*f[b[2]*c[4]])/31381059609 - 
  (43264000*f[a[1]*a[2]^2]*f[a[5]]*f[b[2]*c[4]])/31381059609 + 
  (6016000*f[a[3]]*f[a[5]]*f[b[2]*c[4]])/387420489 - 
  (196736000*f[a[1]^2*a[3]]*f[a[5]]*f[b[2]*c[4]])/31381059609 - 
  (3270976000*f[a[5]]^2*f[b[2]*c[4]])/10460353203 + 
  (3328000*f[1]*f[a[1]*a[5]]*f[b[2]*c[4]])/129140163 - 
  (23296000*f[a[1]^2]*f[a[1]*a[5]]*f[b[2]*c[4]])/1162261467 + 
  (615680000*f[a[1]^4]*f[a[1]*a[5]]*f[b[2]*c[4]])/31381059609 - 
  (22048000000*f[a[1]^6]*f[a[1]*a[5]]*f[b[2]*c[4]])/847288609443 + 
  (2249216000*f[a[2]^2]*f[a[1]*a[5]]*f[b[2]*c[4]])/31381059609 - 
  (1403392000*f[a[1]^2*a[2]^2]*f[a[1]*a[5]]*f[b[2]*c[4]])/94143178827 + 
  (421888000*f[a[1]*a[3]]*f[a[1]*a[5]]*f[b[2]*c[4]])/31381059609 - 
  (3813376000*f[a[1]^3*a[3]]*f[a[1]*a[5]]*f[b[2]*c[4]])/282429536481 - 
  (4704512000*f[a[3]^2]*f[a[1]*a[5]]*f[b[2]*c[4]])/847288609443 - 
  (445382656000*f[a[2]*a[4]]*f[a[1]*a[5]]*f[b[2]*c[4]])/2541865828329 - 
  (475346944000*f[a[1]*a[5]]^2*f[b[2]*c[4]])/2541865828329 + 
  (4505600*f[a[2]]*f[a[6]]*f[b[2]*c[4]])/387420489 - 
  (22528000*f[a[1]^2*a[2]]*f[a[6]]*f[b[2]*c[4]])/10460353203 + 
  (112640000*f[a[1]^4*a[2]]*f[a[6]]*f[b[2]*c[4]])/94143178827 + 
  (117145600*f[a[2]^3]*f[a[6]]*f[b[2]*c[4]])/31381059609 + 
  (144179200*f[a[1]*a[2]*a[3]]*f[a[6]]*f[b[2]*c[4]])/94143178827 - 
  (145817600*f[a[4]]*f[a[6]]*f[b[2]*c[4]])/10460353203 + 
  (729088000*f[a[1]^2*a[4]]*f[a[6]]*f[b[2]*c[4]])/282429536481 + 
  (105351372800*f[a[6]]^2*f[b[2]*c[4]])/282429536481 - 
  (67520*f[1]*f[b[1]*c[1]]*f[b[2]*c[4]])/177147 + 
  (337600*f[a[1]^2]*f[b[1]*c[1]]*f[b[2]*c[4]])/4782969 - 
  (1688000*f[a[1]^4]*f[b[1]*c[1]]*f[b[2]*c[4]])/43046721 + 
  (42200000*f[a[1]^6]*f[b[1]*c[1]]*f[b[2]*c[4]])/1162261467 - 
  (1755520*f[a[2]^2]*f[b[1]*c[1]]*f[b[2]*c[4]])/43046721 + 
  (8777600*f[a[1]^2*a[2]^2]*f[b[1]*c[1]]*f[b[2]*c[4]])/1162261467 - 
  (2160640*f[a[1]*a[3]]*f[b[1]*c[1]]*f[b[2]*c[4]])/43046721 + 
  (10803200*f[a[1]^3*a[3]]*f[b[1]*c[1]]*f[b[2]*c[4]])/387420489 + 
  (60295360*f[a[3]^2]*f[b[1]*c[1]]*f[b[2]*c[4]])/1162261467 + 
  (138280960*f[a[2]*a[4]]*f[b[1]*c[1]]*f[b[2]*c[4]])/3486784401 + 
  (140441600*f[a[1]*a[5]]*f[b[1]*c[1]]*f[b[2]*c[4]])/3486784401 - 
  (331360*f[b[1]*c[1]]^2*f[b[2]*c[4]])/1594323 - 
  (1080320*f[a[1]]*f[a[1]*b[1]*c[1]]*f[b[2]*c[4]])/4782969 + 
  (5401600*f[a[1]^3]*f[a[1]*b[1]*c[1]]*f[b[2]*c[4]])/43046721 - 
  (135040000*f[a[1]^5]*f[a[1]*b[1]*c[1]]*f[b[2]*c[4]])/1162261467 - 
  (28088320*f[a[1]*a[2]^2]*f[a[1]*b[1]*c[1]]*f[b[2]*c[4]])/1162261467 + 
  (1080320*f[a[3]]*f[a[1]*b[1]*c[1]]*f[b[2]*c[4]])/43046721 - 
  (24847360*f[a[1]^2*a[3]]*f[a[1]*b[1]*c[1]]*f[b[2]*c[4]])/387420489 - 
  (70220800*f[a[5]]*f[a[1]*b[1]*c[1]]*f[b[2]*c[4]])/3486784401 - 
  (5301760*f[a[1]*b[1]*c[1]]^2*f[b[2]*c[4]])/43046721 + 
  (337600*f[1]*f[a[1]^2*b[1]*c[1]]*f[b[2]*c[4]])/4782969 - 
  (12086080*f[a[1]^2]*f[a[1]^2*b[1]*c[1]]*f[b[2]*c[4]])/43046721 + 
  (354142400*f[a[1]^4]*f[a[1]^2*b[1]*c[1]]*f[b[2]*c[4]])/1162261467 - 
  (13174840000*f[a[1]^6]*f[a[1]^2*b[1]*c[1]]*f[b[2]*c[4]])/
   31381059609 - (526791040*f[a[2]^2]*f[a[1]^2*b[1]*c[1]]*
     f[b[2]*c[4]])/3486784401 - 
  (62523520*f[a[1]^2*a[2]^2]*f[a[1]^2*b[1]*c[1]]*f[b[2]*c[4]])/
   94143178827 + (15124480*f[a[1]*a[3]]*f[a[1]^2*b[1]*c[1]]*
     f[b[2]*c[4]])/387420489 - 
  (1333114880*f[a[1]^3*a[3]]*f[a[1]^2*b[1]*c[1]]*f[b[2]*c[4]])/
   10460353203 - (405187520*f[a[3]^2]*f[a[1]^2*b[1]*c[1]]*
     f[b[2]*c[4]])/31381059609 + 
  (5946081280*f[a[2]*a[4]]*f[a[1]^2*b[1]*c[1]]*f[b[2]*c[4]])/
   94143178827 - (983091200*f[a[1]*a[5]]*f[a[1]^2*b[1]*c[1]]*
     f[b[2]*c[4]])/31381059609 + 
  (3313600*f[b[1]*c[1]]*f[a[1]^2*b[1]*c[1]]*f[b[2]*c[4]])/43046721 - 
  (59313440*f[a[1]^2*b[1]*c[1]]^2*f[b[2]*c[4]])/387420489 + 
  (5401600*f[a[1]]*f[a[1]^3*b[1]*c[1]]*f[b[2]*c[4]])/43046721 - 
  (634147840*f[a[1]^3]*f[a[1]^3*b[1]*c[1]]*f[b[2]*c[4]])/1162261467 + 
  (29681792000*f[a[1]^5]*f[a[1]^3*b[1]*c[1]]*f[b[2]*c[4]])/
   31381059609 - (8428656640*f[a[1]*a[2]^2]*f[a[1]^3*b[1]*c[1]]*
     f[b[2]*c[4]])/31381059609 - 
  (5401600*f[a[3]]*f[a[1]^3*b[1]*c[1]]*f[b[2]*c[4]])/387420489 + 
  (925834240*f[a[1]^2*a[3]]*f[a[1]^3*b[1]*c[1]]*f[b[2]*c[4]])/
   10460353203 + (351104000*f[a[5]]*f[a[1]^3*b[1]*c[1]]*f[b[2]*c[4]])/
   31381059609 + (53017600*f[a[1]*b[1]*c[1]]*f[a[1]^3*b[1]*c[1]]*
     f[b[2]*c[4]])/387420489 - 
  (3112133120*f[a[1]^3*b[1]*c[1]]^2*f[b[2]*c[4]])/10460353203 - 
  (1688000*f[1]*f[a[1]^4*b[1]*c[1]]*f[b[2]*c[4]])/43046721 + 
  (354142400*f[a[1]^2]*f[a[1]^4*b[1]*c[1]]*f[b[2]*c[4]])/1162261467 - 
  (45897597760*f[a[1]^4]*f[a[1]^4*b[1]*c[1]]*f[b[2]*c[4]])/
   31381059609 + (112854616000*f[a[1]^6]*f[a[1]^4*b[1]*c[1]]*
     f[b[2]*c[4]])/31381059609 + 
  (5399574400*f[a[2]^2]*f[a[1]^4*b[1]*c[1]]*f[b[2]*c[4]])/31381059609 - 
  (62936877440*f[a[1]^2*a[2]^2]*f[a[1]^4*b[1]*c[1]]*f[b[2]*c[4]])/
   94143178827 - (399718400*f[a[1]*a[3]]*f[a[1]^4*b[1]*c[1]]*
     f[b[2]*c[4]])/10460353203 + 
  (74583132160*f[a[1]^3*a[3]]*f[a[1]^4*b[1]*c[1]]*f[b[2]*c[4]])/
   282429536481 + (2544491200*f[a[3]^2]*f[a[1]^4*b[1]*c[1]]*
     f[b[2]*c[4]])/282429536481 - 
  (62917836800*f[a[2]*a[4]]*f[a[1]^4*b[1]*c[1]]*f[b[2]*c[4]])/
   847288609443 + (25981696000*f[a[1]*a[5]]*f[a[1]^4*b[1]*c[1]]*
     f[b[2]*c[4]])/847288609443 - 
  (16568000*f[b[1]*c[1]]*f[a[1]^4*b[1]*c[1]]*f[b[2]*c[4]])/387420489 + 
  (3475966400*f[a[1]^2*b[1]*c[1]]*f[a[1]^4*b[1]*c[1]]*f[b[2]*c[4]])/
   10460353203 - (225246267680*f[a[1]^4*b[1]*c[1]]^2*f[b[2]*c[4]])/
   282429536481 + (17285120*f[a[2]]*f[a[2]*b[1]*c[1]]*f[b[2]*c[4]])/
   43046721 - (86425600*f[a[1]^2*a[2]]*f[a[2]*b[1]*c[1]]*f[b[2]*c[4]])/
   1162261467 + (432128000*f[a[1]^4*a[2]]*f[a[2]*b[1]*c[1]]*
     f[b[2]*c[4]])/10460353203 + 
  (449413120*f[a[2]^3]*f[a[2]*b[1]*c[1]]*f[b[2]*c[4]])/3486784401 + 
  (553123840*f[a[1]*a[2]*a[3]]*f[a[2]*b[1]*c[1]]*f[b[2]*c[4]])/
   10460353203 - (69140480*f[a[4]]*f[a[2]*b[1]*c[1]]*f[b[2]*c[4]])/
   3486784401 + (345702400*f[a[1]^2*a[4]]*f[a[2]*b[1]*c[1]]*
     f[b[2]*c[4]])/94143178827 + 
  (190136320*f[a[6]]*f[a[2]*b[1]*c[1]]*f[b[2]*c[4]])/10460353203 + 
  (84828160*f[a[2]*b[1]*c[1]]^2*f[b[2]*c[4]])/387420489 + 
  (1106247680*f[a[1]*a[2]]*f[a[1]*a[2]*b[1]*c[1]]*f[b[2]*c[4]])/
   3486784401 - (5531238400*f[a[1]^3*a[2]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[b[2]*c[4]])/31381059609 + 
  (1106247680*f[a[2]*a[3]]*f[a[1]*a[2]*b[1]*c[1]]*f[b[2]*c[4]])/
   10460353203 - (4424990720*f[a[1]*a[4]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[b[2]*c[4]])/94143178827 + 
  (5429002240*f[a[1]*a[2]*b[1]*c[1]]^2*f[b[2]*c[4]])/31381059609 - 
  (86425600*f[a[2]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[2]*c[4]])/1162261467 + 
  (45546291200*f[a[1]^2*a[2]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[2]*c[4]])/
   94143178827 - (448980992000*f[a[1]^4*a[2]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[b[2]*c[4]])/847288609443 + 
  (134858506240*f[a[2]^3]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[2]*c[4]])/
   282429536481 + (89052938240*f[a[1]*a[2]*a[3]]*
     f[a[1]^2*a[2]*b[1]*c[1]]*f[b[2]*c[4]])/847288609443 + 
  (345702400*f[a[4]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[2]*c[4]])/
   94143178827 - (27725332480*f[a[1]^2*a[4]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[b[2]*c[4]])/282429536481 - 
  (950681600*f[a[6]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[2]*c[4]])/
   282429536481 - (848281600*f[a[2]*b[1]*c[1]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[b[2]*c[4]])/10460353203 + 
  (223522201600*f[a[1]^2*a[2]*b[1]*c[1]]^2*f[b[2]*c[4]])/847288609443 - 
  (1755520*f[1]*f[a[2]^2*b[1]*c[1]]*f[b[2]*c[4]])/43046721 - 
  (526791040*f[a[1]^2]*f[a[2]^2*b[1]*c[1]]*f[b[2]*c[4]])/3486784401 + 
  (5399574400*f[a[1]^4]*f[a[2]^2*b[1]*c[1]]*f[b[2]*c[4]])/31381059609 - 
  (68043280000*f[a[1]^6]*f[a[2]^2*b[1]*c[1]]*f[b[2]*c[4]])/
   282429536481 - (2965208320*f[a[2]^2]*f[a[2]^2*b[1]*c[1]]*
     f[b[2]*c[4]])/3486784401 + 
  (119053154560*f[a[1]^2*a[2]^2]*f[a[2]^2*b[1]*c[1]]*f[b[2]*c[4]])/
   847288609443 - (2821795840*f[a[1]*a[3]]*f[a[2]^2*b[1]*c[1]]*
     f[b[2]*c[4]])/10460353203 + 
  (24626974720*f[a[1]^3*a[3]]*f[a[2]^2*b[1]*c[1]]*f[b[2]*c[4]])/
   282429536481 - (122885184640*f[a[3]^2]*f[a[2]^2*b[1]*c[1]]*
     f[b[2]*c[4]])/282429536481 + 
  (12998410240*f[a[2]*a[4]]*f[a[2]^2*b[1]*c[1]]*f[b[2]*c[4]])/
   282429536481 + (94916915200*f[a[1]*a[5]]*f[a[2]^2*b[1]*c[1]]*
     f[b[2]*c[4]])/847288609443 - 
  (17230720*f[b[1]*c[1]]*f[a[2]^2*b[1]*c[1]]*f[b[2]*c[4]])/387420489 - 
  (5170541440*f[a[1]^2*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]]*f[b[2]*c[4]])/
   31381059609 + (52997718400*f[a[1]^4*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]]*
     f[b[2]*c[4]])/282429536481 - 
  (14552005760*f[a[2]^2*b[1]*c[1]]^2*f[b[2]*c[4]])/31381059609 + 
  (1080320*f[a[1]]*f[a[3]*b[1]*c[1]]*f[b[2]*c[4]])/43046721 - 
  (5401600*f[a[1]^3]*f[a[3]*b[1]*c[1]]*f[b[2]*c[4]])/387420489 + 
  (135040000*f[a[1]^5]*f[a[3]*b[1]*c[1]]*f[b[2]*c[4]])/10460353203 + 
  (28088320*f[a[1]*a[2]^2]*f[a[3]*b[1]*c[1]]*f[b[2]*c[4]])/
   10460353203 - (694645760*f[a[3]]*f[a[3]*b[1]*c[1]]*f[b[2]*c[4]])/
   1162261467 + (3680650240*f[a[1]^2*a[3]]*f[a[3]*b[1]*c[1]]*
     f[b[2]*c[4]])/31381059609 + 
  (253875200*f[a[5]]*f[a[3]*b[1]*c[1]]*f[b[2]*c[4]])/10460353203 + 
  (10603520*f[a[1]*b[1]*c[1]]*f[a[3]*b[1]*c[1]]*f[b[2]*c[4]])/
   387420489 - (53017600*f[a[1]^3*b[1]*c[1]]*f[a[3]*b[1]*c[1]]*
     f[b[2]*c[4]])/3486784401 - 
  (3409031680*f[a[3]*b[1]*c[1]]^2*f[b[2]*c[4]])/10460353203 - 
  (2160640*f[1]*f[a[1]*a[3]*b[1]*c[1]]*f[b[2]*c[4]])/43046721 + 
  (15124480*f[a[1]^2]*f[a[1]*a[3]*b[1]*c[1]]*f[b[2]*c[4]])/387420489 - 
  (399718400*f[a[1]^4]*f[a[1]*a[3]*b[1]*c[1]]*f[b[2]*c[4]])/
   10460353203 + (14314240000*f[a[1]^6]*f[a[1]*a[3]*b[1]*c[1]]*
     f[b[2]*c[4]])/282429536481 - 
  (2821795840*f[a[2]^2]*f[a[1]*a[3]*b[1]*c[1]]*f[b[2]*c[4]])/
   10460353203 + (15007805440*f[a[1]^2*a[2]^2]*f[a[1]*a[3]*b[1]*c[1]]*
     f[b[2]*c[4]])/282429536481 - 
  (11373608960*f[a[1]*a[3]]*f[a[1]*a[3]*b[1]*c[1]]*f[b[2]*c[4]])/
   31381059609 + (60186787840*f[a[1]^3*a[3]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[b[2]*c[4]])/282429536481 + 
  (8052705280*f[a[3]^2]*f[a[1]*a[3]*b[1]*c[1]]*f[b[2]*c[4]])/
   94143178827 - (108412272640*f[a[2]*a[4]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[b[2]*c[4]])/847288609443 + 
  (17803673600*f[a[1]*a[5]]*f[a[1]*a[3]*b[1]*c[1]]*f[b[2]*c[4]])/
   847288609443 - (21207040*f[b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[b[2]*c[4]])/387420489 + 
  (148449280*f[a[1]^2*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]]*f[b[2]*c[4]])/
   3486784401 - (3923302400*f[a[1]^4*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[b[2]*c[4]])/94143178827 - 
  (27696394240*f[a[2]^2*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[b[2]*c[4]])/94143178827 - 
  (55816929280*f[a[1]*a[3]*b[1]*c[1]]^2*f[b[2]*c[4]])/282429536481 - 
  (69140480*f[a[2]]*f[a[4]*b[1]*c[1]]*f[b[2]*c[4]])/3486784401 + 
  (345702400*f[a[1]^2*a[2]]*f[a[4]*b[1]*c[1]]*f[b[2]*c[4]])/
   94143178827 - (1728512000*f[a[1]^4*a[2]]*f[a[4]*b[1]*c[1]]*
     f[b[2]*c[4]])/847288609443 - 
  (1797652480*f[a[2]^3]*f[a[4]*b[1]*c[1]]*f[b[2]*c[4]])/282429536481 - 
  (2212495360*f[a[1]*a[2]*a[3]]*f[a[4]*b[1]*c[1]]*f[b[2]*c[4]])/
   847288609443 + (24614010880*f[a[4]]*f[a[4]*b[1]*c[1]]*f[b[2]*c[4]])/
   31381059609 - (123070054400*f[a[1]^2*a[4]]*f[a[4]*b[1]*c[1]]*
     f[b[2]*c[4]])/847288609443 - 
  (6153502720*f[a[6]]*f[a[4]*b[1]*c[1]]*f[b[2]*c[4]])/282429536481 - 
  (678625280*f[a[2]*b[1]*c[1]]*f[a[4]*b[1]*c[1]]*f[b[2]*c[4]])/
   31381059609 + (3393126400*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[4]*b[1]*c[1]]*
     f[b[2]*c[4]])/847288609443 + 
  (120795299840*f[a[4]*b[1]*c[1]]^2*f[b[2]*c[4]])/282429536481 + 
  (4096000*f[a[2]]*f[a[1]*b[2]*c[1]]*f[b[2]*c[4]])/129140163 - 
  (20480000*f[a[1]^2*a[2]]*f[a[1]*b[2]*c[1]]*f[b[2]*c[4]])/3486784401 + 
  (102400000*f[a[1]^4*a[2]]*f[a[1]*b[2]*c[1]]*f[b[2]*c[4]])/
   31381059609 + (106496000*f[a[2]^3]*f[a[1]*b[2]*c[1]]*f[b[2]*c[4]])/
   10460353203 + (131072000*f[a[1]*a[2]*a[3]]*f[a[1]*b[2]*c[1]]*
     f[b[2]*c[4]])/31381059609 - 
  (16384000*f[a[4]]*f[a[1]*b[2]*c[1]]*f[b[2]*c[4]])/1162261467 + 
  (81920000*f[a[1]^2*a[4]]*f[a[1]*b[2]*c[1]]*f[b[2]*c[4]])/
   31381059609 + (102400000*f[a[6]]*f[a[1]*b[2]*c[1]]*f[b[2]*c[4]])/
   10460353203 + (89292800*f[a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*
     f[b[2]*c[4]])/1162261467 - 
  (446464000*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*f[b[2]*c[4]])/
   31381059609 - (357171200*f[a[4]*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*
     f[b[2]*c[4]])/10460353203 + 
  (131072000*f[a[1]*a[2]]*f[a[1]^2*b[2]*c[1]]*f[b[2]*c[4]])/
   3486784401 - (655360000*f[a[1]^3*a[2]]*f[a[1]^2*b[2]*c[1]]*
     f[b[2]*c[4]])/31381059609 - 
  (131072000*f[a[2]*a[3]]*f[a[1]^2*b[2]*c[1]]*f[b[2]*c[4]])/
   31381059609 - (524288000*f[a[1]*a[4]]*f[a[1]^2*b[2]*c[1]]*
     f[b[2]*c[4]])/31381059609 + 
  (2857369600*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*f[b[2]*c[4]])/
   31381059609 - (20480000*f[a[2]]*f[a[1]^3*b[2]*c[1]]*f[b[2]*c[4]])/
   1162261467 + (733184000*f[a[1]^2*a[2]]*f[a[1]^3*b[2]*c[1]]*
     f[b[2]*c[4]])/10460353203 - 
  (21483520000*f[a[1]^4*a[2]]*f[a[1]^3*b[2]*c[1]]*f[b[2]*c[4]])/
   282429536481 + (28762112000*f[a[2]^3]*f[a[1]^3*b[2]*c[1]]*
     f[b[2]*c[4]])/847288609443 - 
  (917504000*f[a[1]*a[2]*a[3]]*f[a[1]^3*b[2]*c[1]]*f[b[2]*c[4]])/
   94143178827 + (81920000*f[a[4]]*f[a[1]^3*b[2]*c[1]]*f[b[2]*c[4]])/
   10460353203 - (2932736000*f[a[1]^2*a[4]]*f[a[1]^3*b[2]*c[1]]*
     f[b[2]*c[4]])/94143178827 - 
  (512000000*f[a[6]]*f[a[1]^3*b[2]*c[1]]*f[b[2]*c[4]])/94143178827 - 
  (446464000*f[a[2]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*f[b[2]*c[4]])/
   10460353203 + (15983411200*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]^3*b[2]*c[1]]*f[b[2]*c[4]])/94143178827 + 
  (1785856000*f[a[4]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*f[b[2]*c[4]])/
   94143178827 - (4096000*f[a[1]]*f[a[2]*b[2]*c[1]]*f[b[2]*c[4]])/
   129140163 + (20480000*f[a[1]^3]*f[a[2]*b[2]*c[1]]*f[b[2]*c[4]])/
   1162261467 - (512000000*f[a[1]^5]*f[a[2]*b[2]*c[1]]*f[b[2]*c[4]])/
   31381059609 - (106496000*f[a[1]*a[2]^2]*f[a[2]*b[2]*c[1]]*
     f[b[2]*c[4]])/31381059609 - 
  (20480000*f[a[3]]*f[a[2]*b[2]*c[1]]*f[b[2]*c[4]])/387420489 + 
  (45056000*f[a[1]^2*a[3]]*f[a[2]*b[2]*c[1]]*f[b[2]*c[4]])/
   31381059609 + (225280000*f[a[5]]*f[a[2]*b[2]*c[1]]*f[b[2]*c[4]])/
   10460353203 - (89292800*f[a[1]*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*
     f[b[2]*c[4]])/1162261467 + 
  (446464000*f[a[1]^3*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*f[b[2]*c[4]])/
   10460353203 - (446464000*f[a[3]*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*
     f[b[2]*c[4]])/3486784401 - 
  (131072000*f[a[1]^2]*f[a[1]*a[2]*b[2]*c[1]]*f[b[2]*c[4]])/
   3486784401 + (1310720000*f[a[1]^4]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[2]*c[4]])/31381059609 - 
  (16384000000*f[a[1]^6]*f[a[1]*a[2]*b[2]*c[1]]*f[b[2]*c[4]])/
   282429536481 - (2097152000*f[a[2]^2]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[2]*c[4]])/31381059609 + 
  (262144000*f[a[1]^2*a[2]^2]*f[a[1]*a[2]*b[2]*c[1]]*f[b[2]*c[4]])/
   31381059609 - (917504000*f[a[1]*a[3]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[2]*c[4]])/31381059609 + 
  (131072000*f[a[1]^3*a[3]]*f[a[1]*a[2]*b[2]*c[1]]*f[b[2]*c[4]])/
   94143178827 + (655360000*f[a[3]^2]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[2]*c[4]])/94143178827 + 
  (41943040000*f[a[2]*a[4]]*f[a[1]*a[2]*b[2]*c[1]]*f[b[2]*c[4]])/
   2541865828329 + (28180480000*f[a[1]*a[5]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[2]*c[4]])/2541865828329 - 
  (2857369600*f[a[1]^2*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*f[b[2]*c[4]])/
   31381059609 + (28573696000*f[a[1]^4*b[1]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]]*f[b[2]*c[4]])/282429536481 - 
  (45717913600*f[a[2]^2*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[2]*c[4]])/282429536481 - 
  (20001587200*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[2]*c[4]])/282429536481 + 
  (20480000*f[a[2]]*f[a[3]*b[2]*c[1]]*f[b[2]*c[4]])/387420489 - 
  (102400000*f[a[1]^2*a[2]]*f[a[3]*b[2]*c[1]]*f[b[2]*c[4]])/
   10460353203 + (512000000*f[a[1]^4*a[2]]*f[a[3]*b[2]*c[1]]*
     f[b[2]*c[4]])/94143178827 + 
  (532480000*f[a[2]^3]*f[a[3]*b[2]*c[1]]*f[b[2]*c[4]])/31381059609 + 
  (655360000*f[a[1]*a[2]*a[3]]*f[a[3]*b[2]*c[1]]*f[b[2]*c[4]])/
   94143178827 + (802816000*f[a[4]]*f[a[3]*b[2]*c[1]]*f[b[2]*c[4]])/
   10460353203 - (4014080000*f[a[1]^2*a[4]]*f[a[3]*b[2]*c[1]]*
     f[b[2]*c[4]])/282429536481 - 
  (26021888000*f[a[6]]*f[a[3]*b[2]*c[1]]*f[b[2]*c[4]])/847288609443 + 
  (446464000*f[a[2]*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*f[b[2]*c[4]])/
   3486784401 - (2232320000*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[b[2]*c[4]])/94143178827 + 
  (17501388800*f[a[4]*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*f[b[2]*c[4]])/
   94143178827 + (1721600*f[1]*f[b[3]*c[1]]*f[b[2]*c[4]])/1594323 - 
  (8608000*f[a[1]^2]*f[b[3]*c[1]]*f[b[2]*c[4]])/43046721 + 
  (43040000*f[a[1]^4]*f[b[3]*c[1]]*f[b[2]*c[4]])/387420489 - 
  (1076000000*f[a[1]^6]*f[b[3]*c[1]]*f[b[2]*c[4]])/10460353203 + 
  (44761600*f[a[2]^2]*f[b[3]*c[1]]*f[b[2]*c[4]])/387420489 - 
  (223808000*f[a[1]^2*a[2]^2]*f[b[3]*c[1]]*f[b[2]*c[4]])/10460353203 + 
  (55091200*f[a[1]*a[3]]*f[b[3]*c[1]]*f[b[2]*c[4]])/387420489 - 
  (275456000*f[a[1]^3*a[3]]*f[b[3]*c[1]]*f[b[2]*c[4]])/3486784401 - 
  (1537388800*f[a[3]^2]*f[b[3]*c[1]]*f[b[2]*c[4]])/10460353203 - 
  (3525836800*f[a[2]*a[4]]*f[b[3]*c[1]]*f[b[2]*c[4]])/31381059609 - 
  (3580928000*f[a[1]*a[5]]*f[b[3]*c[1]]*f[b[2]*c[4]])/31381059609 + 
  (11398400*f[b[1]*c[1]]*f[b[3]*c[1]]*f[b[2]*c[4]])/14348907 - 
  (56992000*f[a[1]^2*b[1]*c[1]]*f[b[3]*c[1]]*f[b[2]*c[4]])/387420489 + 
  (284960000*f[a[1]^4*b[1]*c[1]]*f[b[3]*c[1]]*f[b[2]*c[4]])/
   3486784401 + (296358400*f[a[2]^2*b[1]*c[1]]*f[b[3]*c[1]]*
     f[b[2]*c[4]])/3486784401 + 
  (364748800*f[a[1]*a[3]*b[1]*c[1]]*f[b[3]*c[1]]*f[b[2]*c[4]])/
   3486784401 - (22528000*f[b[3]*c[1]]^2*f[b[2]*c[4]])/129140163 + 
  (27545600*f[a[1]]*f[a[1]*b[3]*c[1]]*f[b[2]*c[4]])/43046721 - 
  (137728000*f[a[1]^3]*f[a[1]*b[3]*c[1]]*f[b[2]*c[4]])/387420489 + 
  (3443200000*f[a[1]^5]*f[a[1]*b[3]*c[1]]*f[b[2]*c[4]])/10460353203 + 
  (716185600*f[a[1]*a[2]^2]*f[a[1]*b[3]*c[1]]*f[b[2]*c[4]])/
   10460353203 - (27545600*f[a[3]]*f[a[1]*b[3]*c[1]]*f[b[2]*c[4]])/
   387420489 + (633548800*f[a[1]^2*a[3]]*f[a[1]*b[3]*c[1]]*
     f[b[2]*c[4]])/3486784401 + 
  (1790464000*f[a[5]]*f[a[1]*b[3]*c[1]]*f[b[2]*c[4]])/31381059609 + 
  (182374400*f[a[1]*b[1]*c[1]]*f[a[1]*b[3]*c[1]]*f[b[2]*c[4]])/
   387420489 - (911872000*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[3]*c[1]]*
     f[b[2]*c[4]])/3486784401 - 
  (182374400*f[a[3]*b[1]*c[1]]*f[a[1]*b[3]*c[1]]*f[b[2]*c[4]])/
   3486784401 + (2883584000*f[a[2]*b[2]*c[1]]*f[a[1]*b[3]*c[1]]*
     f[b[2]*c[4]])/10460353203 - 
  (360448000*f[a[1]*b[3]*c[1]]^2*f[b[2]*c[4]])/3486784401 - 
  (8608000*f[1]*f[a[1]^2*b[3]*c[1]]*f[b[2]*c[4]])/43046721 + 
  (308166400*f[a[1]^2]*f[a[1]^2*b[3]*c[1]]*f[b[2]*c[4]])/387420489 - 
  (9029792000*f[a[1]^4]*f[a[1]^2*b[3]*c[1]]*f[b[2]*c[4]])/10460353203 + 
  (335927200000*f[a[1]^6]*f[a[1]^2*b[3]*c[1]]*f[b[2]*c[4]])/
   282429536481 + (13431923200*f[a[2]^2]*f[a[1]^2*b[3]*c[1]]*
     f[b[2]*c[4]])/31381059609 + 
  (1594201600*f[a[1]^2*a[2]^2]*f[a[1]^2*b[3]*c[1]]*f[b[2]*c[4]])/
   847288609443 - (385638400*f[a[1]*a[3]]*f[a[1]^2*b[3]*c[1]]*
     f[b[2]*c[4]])/3486784401 + 
  (33991270400*f[a[1]^3*a[3]]*f[a[1]^2*b[3]*c[1]]*f[b[2]*c[4]])/
   94143178827 + (10331321600*f[a[3]^2]*f[a[1]^2*b[3]*c[1]]*
     f[b[2]*c[4]])/282429536481 - 
  (151610982400*f[a[2]*a[4]]*f[a[1]^2*b[3]*c[1]]*f[b[2]*c[4]])/
   847288609443 + (25066496000*f[a[1]*a[5]]*f[a[1]^2*b[3]*c[1]]*
     f[b[2]*c[4]])/282429536481 - 
  (56992000*f[b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*f[b[2]*c[4]])/387420489 + 
  (2040313600*f[a[1]^2*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*f[b[2]*c[4]])/
   3486784401 - (59784608000*f[a[1]^4*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[b[2]*c[4]])/94143178827 + 
  (88930316800*f[a[2]^2*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*f[b[2]*c[4]])/
   282429536481 - (2553241600*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]^2*b[3]*c[1]]*f[b[2]*c[4]])/31381059609 + 
  (92274688000*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[b[2]*c[4]])/282429536481 + 
  (225280000*f[b[3]*c[1]]*f[a[1]^2*b[3]*c[1]]*f[b[2]*c[4]])/
   3486784401 - (4032512000*f[a[1]^2*b[3]*c[1]]^2*f[b[2]*c[4]])/
   31381059609 - (440729600*f[a[2]]*f[a[2]*b[3]*c[1]]*f[b[2]*c[4]])/
   387420489 + (2203648000*f[a[1]^2*a[2]]*f[a[2]*b[3]*c[1]]*
     f[b[2]*c[4]])/10460353203 - 
  (11018240000*f[a[1]^4*a[2]]*f[a[2]*b[3]*c[1]]*f[b[2]*c[4]])/
   94143178827 - (11458969600*f[a[2]^3]*f[a[2]*b[3]*c[1]]*
     f[b[2]*c[4]])/31381059609 - 
  (14103347200*f[a[1]*a[2]*a[3]]*f[a[2]*b[3]*c[1]]*f[b[2]*c[4]])/
   94143178827 + (1762918400*f[a[4]]*f[a[2]*b[3]*c[1]]*f[b[2]*c[4]])/
   31381059609 - (8814592000*f[a[1]^2*a[4]]*f[a[2]*b[3]*c[1]]*
     f[b[2]*c[4]])/847288609443 - 
  (4848025600*f[a[6]]*f[a[2]*b[3]*c[1]]*f[b[2]*c[4]])/94143178827 - 
  (2917990400*f[a[2]*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*f[b[2]*c[4]])/
   3486784401 + (14589952000*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[b[2]*c[4]])/94143178827 + 
  (11671961600*f[a[4]*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*f[b[2]*c[4]])/
   282429536481 - (2883584000*f[a[1]*b[2]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[b[2]*c[4]])/10460353203 + 
  (14417920000*f[a[1]^3*b[2]*c[1]]*f[a[2]*b[3]*c[1]]*f[b[2]*c[4]])/
   94143178827 - (14417920000*f[a[3]*b[2]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[b[2]*c[4]])/31381059609 + 
  (5767168000*f[a[2]*b[3]*c[1]]^2*f[b[2]*c[4]])/31381059609 + 
  (1107558400*f[b[2]*c[1]]*f[b[4]*c[1]]*f[b[2]*c[4]])/1162261467 - 
  (5537792000*f[a[1]^2*b[2]*c[1]]*f[b[4]*c[1]]*f[b[2]*c[4]])/
   31381059609 - (5759303680*f[b[4]*c[1]]^2*f[b[2]*c[4]])/10460353203 + 
  (864747520*f[a[2]]*f[a[1]*b[4]*c[1]]*f[b[2]*c[4]])/1162261467 - 
  (4323737600*f[a[1]^2*a[2]]*f[a[1]*b[4]*c[1]]*f[b[2]*c[4]])/
   31381059609 + (21618688000*f[a[1]^4*a[2]]*f[a[1]*b[4]*c[1]]*
     f[b[2]*c[4]])/282429536481 + 
  (22483435520*f[a[2]^3]*f[a[1]*b[4]*c[1]]*f[b[2]*c[4]])/94143178827 + 
  (27671920640*f[a[1]*a[2]*a[3]]*f[a[1]*b[4]*c[1]]*f[b[2]*c[4]])/
   282429536481 - (3458990080*f[a[4]]*f[a[1]*b[4]*c[1]]*f[b[2]*c[4]])/
   10460353203 + (17294950400*f[a[1]^2*a[4]]*f[a[1]*b[4]*c[1]]*
     f[b[2]*c[4]])/282429536481 + 
  (21618688000*f[a[6]]*f[a[1]*b[4]*c[1]]*f[b[2]*c[4]])/94143178827 + 
  (15441920000*f[a[2]*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*f[b[2]*c[4]])/
   31381059609 - (77209600000*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*b[4]*c[1]]*f[b[2]*c[4]])/847288609443 - 
  (61767680000*f[a[4]*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*f[b[2]*c[4]])/
   282429536481 + (17720934400*f[a[1]*b[2]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[b[2]*c[4]])/31381059609 - 
  (88604672000*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[4]*c[1]]*f[b[2]*c[4]])/
   282429536481 - (17720934400*f[a[3]*b[2]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[b[2]*c[4]])/282429536481 + 
  (9542041600*f[a[2]*b[3]*c[1]]*f[a[1]*b[4]*c[1]]*f[b[2]*c[4]])/
   282429536481 - (92148858880*f[a[1]*b[4]*c[1]]^2*f[b[2]*c[4]])/
   282429536481 + (1772800*f[1]*f[b[5]*c[1]]*f[b[2]*c[4]])/1594323 - 
  (8864000*f[a[1]^2]*f[b[5]*c[1]]*f[b[2]*c[4]])/43046721 + 
  (44320000*f[a[1]^4]*f[b[5]*c[1]]*f[b[2]*c[4]])/387420489 - 
  (1108000000*f[a[1]^6]*f[b[5]*c[1]]*f[b[2]*c[4]])/10460353203 + 
  (46092800*f[a[2]^2]*f[b[5]*c[1]]*f[b[2]*c[4]])/387420489 - 
  (230464000*f[a[1]^2*a[2]^2]*f[b[5]*c[1]]*f[b[2]*c[4]])/10460353203 + 
  (56729600*f[a[1]*a[3]]*f[b[5]*c[1]]*f[b[2]*c[4]])/387420489 - 
  (283648000*f[a[1]^3*a[3]]*f[b[5]*c[1]]*f[b[2]*c[4]])/3486784401 - 
  (1583110400*f[a[3]^2]*f[b[5]*c[1]]*f[b[2]*c[4]])/10460353203 - 
  (3630694400*f[a[2]*a[4]]*f[b[5]*c[1]]*f[b[2]*c[4]])/31381059609 - 
  (3687424000*f[a[1]*a[5]]*f[b[5]*c[1]]*f[b[2]*c[4]])/31381059609 + 
  (2622918400*f[b[1]*c[1]]*f[b[5]*c[1]]*f[b[2]*c[4]])/3486784401 - 
  (13114592000*f[a[1]^2*b[1]*c[1]]*f[b[5]*c[1]]*f[b[2]*c[4]])/
   94143178827 + (65572960000*f[a[1]^4*b[1]*c[1]]*f[b[5]*c[1]]*
     f[b[2]*c[4]])/847288609443 + 
  (68195878400*f[a[2]^2*b[1]*c[1]]*f[b[5]*c[1]]*f[b[2]*c[4]])/
   847288609443 + (83933388800*f[a[1]*a[3]*b[1]*c[1]]*f[b[5]*c[1]]*
     f[b[2]*c[4]])/847288609443 - 
  (1036288000*f[b[3]*c[1]]*f[b[5]*c[1]]*f[b[2]*c[4]])/31381059609 + 
  (5181440000*f[a[1]^2*b[3]*c[1]]*f[b[5]*c[1]]*f[b[2]*c[4]])/
   847288609443 + (414267392000*f[b[5]*c[1]]^2*f[b[2]*c[4]])/
   2541865828329 - (1146880*f[b[2]*c[1]]*f[b[1]*c[2]]*f[b[2]*c[4]])/
   14348907 + (5734400*f[a[1]^2*b[2]*c[1]]*f[b[1]*c[2]]*f[b[2]*c[4]])/
   387420489 + (1332281344*f[b[4]*c[1]]*f[b[1]*c[2]]*f[b[2]*c[4]])/
   3486784401 - (9666560*f[b[1]*c[2]]^2*f[b[2]*c[4]])/129140163 + 
  (1490944*f[a[2]]*f[a[1]*b[1]*c[2]]*f[b[2]*c[4]])/14348907 - 
  (7454720*f[a[1]^2*a[2]]*f[a[1]*b[1]*c[2]]*f[b[2]*c[4]])/387420489 + 
  (37273600*f[a[1]^4*a[2]]*f[a[1]*b[1]*c[2]]*f[b[2]*c[4]])/3486784401 + 
  (38764544*f[a[2]^3]*f[a[1]*b[1]*c[2]]*f[b[2]*c[4]])/1162261467 + 
  (47710208*f[a[1]*a[2]*a[3]]*f[a[1]*b[1]*c[2]]*f[b[2]*c[4]])/
   3486784401 - (5963776*f[a[4]]*f[a[1]*b[1]*c[2]]*f[b[2]*c[4]])/
   129140163 + (29818880*f[a[1]^2*a[4]]*f[a[1]*b[1]*c[2]]*
     f[b[2]*c[4]])/3486784401 + 
  (37273600*f[a[6]]*f[a[1]*b[1]*c[2]]*f[b[2]*c[4]])/1162261467 + 
  (159924224*f[a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[2]]*f[b[2]*c[4]])/
   3486784401 - (799621120*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[b[2]*c[4]])/94143178827 - 
  (639696896*f[a[4]*b[1]*c[1]]*f[a[1]*b[1]*c[2]]*f[b[2]*c[4]])/
   31381059609 - (18350080*f[a[1]*b[2]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[b[2]*c[4]])/387420489 + 
  (91750400*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[1]*c[2]]*f[b[2]*c[4]])/
   3486784401 + (18350080*f[a[3]*b[2]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[b[2]*c[4]])/3486784401 - 
  (1861222400*f[a[2]*b[3]*c[1]]*f[a[1]*b[1]*c[2]]*f[b[2]*c[4]])/
   10460353203 + (21316501504*f[a[1]*b[4]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[b[2]*c[4]])/94143178827 - 
  (154664960*f[a[1]*b[1]*c[2]]^2*f[b[2]*c[4]])/3486784401 + 
  (47710208*f[a[1]*a[2]]*f[a[1]^2*b[1]*c[2]]*f[b[2]*c[4]])/387420489 - 
  (238551040*f[a[1]^3*a[2]]*f[a[1]^2*b[1]*c[2]]*f[b[2]*c[4]])/
   3486784401 - (47710208*f[a[2]*a[3]]*f[a[1]^2*b[1]*c[2]]*
     f[b[2]*c[4]])/3486784401 - 
  (190840832*f[a[1]*a[4]]*f[a[1]^2*b[1]*c[2]]*f[b[2]*c[4]])/
   3486784401 + (5117575168*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]]*
     f[b[2]*c[4]])/94143178827 + 
  (5734400*f[b[2]*c[1]]*f[a[1]^2*b[1]*c[2]]*f[b[2]*c[4]])/387420489 - 
  (205291520*f[a[1]^2*b[2]*c[1]]*f[a[1]^2*b[1]*c[2]]*f[b[2]*c[4]])/
   3486784401 - (6661406720*f[b[4]*c[1]]*f[a[1]^2*b[1]*c[2]]*
     f[b[2]*c[4]])/94143178827 + 
  (96665600*f[b[1]*c[2]]*f[a[1]^2*b[1]*c[2]]*f[b[2]*c[4]])/3486784401 - 
  (1730314240*f[a[1]^2*b[1]*c[2]]^2*f[b[2]*c[4]])/31381059609 - 
  (7454720*f[a[2]]*f[a[1]^3*b[1]*c[2]]*f[b[2]*c[4]])/129140163 + 
  (266878976*f[a[1]^2*a[2]]*f[a[1]^3*b[1]*c[2]]*f[b[2]*c[4]])/
   1162261467 - (7820001280*f[a[1]^4*a[2]]*f[a[1]^3*b[1]*c[2]]*
     f[b[2]*c[4]])/31381059609 + 
  (10469408768*f[a[2]^3]*f[a[1]^3*b[1]*c[2]]*f[b[2]*c[4]])/
   94143178827 - (333971456*f[a[1]*a[2]*a[3]]*f[a[1]^3*b[1]*c[2]]*
     f[b[2]*c[4]])/10460353203 + 
  (29818880*f[a[4]]*f[a[1]^3*b[1]*c[2]]*f[b[2]*c[4]])/1162261467 - 
  (1067515904*f[a[1]^2*a[4]]*f[a[1]^3*b[1]*c[2]]*f[b[2]*c[4]])/
   10460353203 - (186368000*f[a[6]]*f[a[1]^3*b[1]*c[2]]*f[b[2]*c[4]])/
   10460353203 - (799621120*f[a[2]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[b[2]*c[4]])/31381059609 + 
  (28626436096*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[b[2]*c[4]])/282429536481 + 
  (3198484480*f[a[4]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*f[b[2]*c[4]])/
   282429536481 + (91750400*f[a[1]*b[2]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[b[2]*c[4]])/3486784401 - 
  (10771496960*f[a[1]^3*b[2]*c[1]]*f[a[1]^3*b[1]*c[2]]*f[b[2]*c[4]])/
   94143178827 - (91750400*f[a[3]*b[2]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[b[2]*c[4]])/31381059609 + 
  (9306112000*f[a[2]*b[3]*c[1]]*f[a[1]^3*b[1]*c[2]]*f[b[2]*c[4]])/
   94143178827 - (106582507520*f[a[1]*b[4]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[b[2]*c[4]])/847288609443 + 
  (1546649600*f[a[1]*b[1]*c[2]]*f[a[1]^3*b[1]*c[2]]*f[b[2]*c[4]])/
   31381059609 - (90788331520*f[a[1]^3*b[1]*c[2]]^2*f[b[2]*c[4]])/
   847288609443 - (1490944*f[a[1]]*f[a[2]*b[1]*c[2]]*f[b[2]*c[4]])/
   14348907 + (7454720*f[a[1]^3]*f[a[2]*b[1]*c[2]]*f[b[2]*c[4]])/
   129140163 - (186368000*f[a[1]^5]*f[a[2]*b[1]*c[2]]*f[b[2]*c[4]])/
   3486784401 - (38764544*f[a[1]*a[2]^2]*f[a[2]*b[1]*c[2]]*
     f[b[2]*c[4]])/3486784401 - 
  (7454720*f[a[3]]*f[a[2]*b[1]*c[2]]*f[b[2]*c[4]])/43046721 + 
  (16400384*f[a[1]^2*a[3]]*f[a[2]*b[1]*c[2]]*f[b[2]*c[4]])/3486784401 + 
  (82001920*f[a[5]]*f[a[2]*b[1]*c[2]]*f[b[2]*c[4]])/1162261467 - 
  (159924224*f[a[1]*b[1]*c[1]]*f[a[2]*b[1]*c[2]]*f[b[2]*c[4]])/
   3486784401 + (799621120*f[a[1]^3*b[1]*c[1]]*f[a[2]*b[1]*c[2]]*
     f[b[2]*c[4]])/31381059609 - 
  (799621120*f[a[3]*b[1]*c[1]]*f[a[2]*b[1]*c[2]]*f[b[2]*c[4]])/
   10460353203 + (293601280*f[a[2]*b[2]*c[1]]*f[a[2]*b[1]*c[2]]*
     f[b[2]*c[4]])/3486784401 + 
  (1861222400*f[a[1]*b[3]*c[1]]*f[a[2]*b[1]*c[2]]*f[b[2]*c[4]])/
   10460353203 + (2474639360*f[a[2]*b[1]*c[2]]^2*f[b[2]*c[4]])/
   31381059609 - (47710208*f[a[1]^2]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[2]*c[4]])/387420489 + 
  (477102080*f[a[1]^4]*f[a[1]*a[2]*b[1]*c[2]]*f[b[2]*c[4]])/
   3486784401 - (5963776000*f[a[1]^6]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[2]*c[4]])/31381059609 - 
  (763363328*f[a[2]^2]*f[a[1]*a[2]*b[1]*c[2]]*f[b[2]*c[4]])/
   3486784401 + (95420416*f[a[1]^2*a[2]^2]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[2]*c[4]])/3486784401 - 
  (333971456*f[a[1]*a[3]]*f[a[1]*a[2]*b[1]*c[2]]*f[b[2]*c[4]])/
   3486784401 + (47710208*f[a[1]^3*a[3]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[2]*c[4]])/10460353203 + 
  (238551040*f[a[3]^2]*f[a[1]*a[2]*b[1]*c[2]]*f[b[2]*c[4]])/
   10460353203 + (15267266560*f[a[2]*a[4]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[2]*c[4]])/282429536481 + 
  (10257694720*f[a[1]*a[5]]*f[a[1]*a[2]*b[1]*c[2]]*f[b[2]*c[4]])/
   282429536481 - (5117575168*f[a[1]^2*b[1]*c[1]]*
     f[a[1]*a[2]*b[1]*c[2]]*f[b[2]*c[4]])/94143178827 + 
  (51175751680*f[a[1]^4*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[2]*c[4]])/847288609443 - 
  (81881202688*f[a[2]^2*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[2]*c[4]])/847288609443 - 
  (35823026176*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[2]*c[4]])/847288609443 + 
  (18790481920*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[2]*c[4]])/282429536481 + 
  (59559116800*f[a[1]^2*b[3]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[2]*c[4]])/282429536481 + 
  (158376919040*f[a[1]*a[2]*b[1]*c[2]]^2*f[b[2]*c[4]])/2541865828329 + 
  (7454720*f[a[2]]*f[a[3]*b[1]*c[2]]*f[b[2]*c[4]])/43046721 - 
  (37273600*f[a[1]^2*a[2]]*f[a[3]*b[1]*c[2]]*f[b[2]*c[4]])/1162261467 + 
  (186368000*f[a[1]^4*a[2]]*f[a[3]*b[1]*c[2]]*f[b[2]*c[4]])/
   10460353203 + (193822720*f[a[2]^3]*f[a[3]*b[1]*c[2]]*f[b[2]*c[4]])/
   3486784401 + (238551040*f[a[1]*a[2]*a[3]]*f[a[3]*b[1]*c[2]]*
     f[b[2]*c[4]])/10460353203 + 
  (292225024*f[a[4]]*f[a[3]*b[1]*c[2]]*f[b[2]*c[4]])/1162261467 - 
  (1461125120*f[a[1]^2*a[4]]*f[a[3]*b[1]*c[2]]*f[b[2]*c[4]])/
   31381059609 - (9471967232*f[a[6]]*f[a[3]*b[1]*c[2]]*f[b[2]*c[4]])/
   94143178827 + (799621120*f[a[2]*b[1]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[b[2]*c[4]])/10460353203 - 
  (3998105600*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[3]*b[1]*c[2]]*f[b[2]*c[4]])/
   282429536481 + (31345147904*f[a[4]*b[1]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[b[2]*c[4]])/282429536481 + 
  (18350080*f[a[1]*b[2]*c[1]]*f[a[3]*b[1]*c[2]]*f[b[2]*c[4]])/
   3486784401 - (91750400*f[a[1]^3*b[2]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[b[2]*c[4]])/31381059609 - 
  (11799101440*f[a[3]*b[2]*c[1]]*f[a[3]*b[1]*c[2]]*f[b[2]*c[4]])/
   94143178827 - (9306112000*f[a[2]*b[3]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[b[2]*c[4]])/31381059609 - 
  (21316501504*f[a[1]*b[4]*c[1]]*f[a[3]*b[1]*c[2]]*f[b[2]*c[4]])/
   847288609443 + (309329920*f[a[1]*b[1]*c[2]]*f[a[3]*b[1]*c[2]]*
     f[b[2]*c[4]])/31381059609 - 
  (1546649600*f[a[1]^3*b[1]*c[2]]*f[a[3]*b[1]*c[2]]*f[b[2]*c[4]])/
   282429536481 - (99449569280*f[a[3]*b[1]*c[2]]^2*f[b[2]*c[4]])/
   847288609443 + (40000*f[1]*f[b[2]*c[2]]*f[b[2]*c[4]])/531441 - 
  (200000*f[a[1]^2]*f[b[2]*c[2]]*f[b[2]*c[4]])/14348907 + 
  (1000000*f[a[1]^4]*f[b[2]*c[2]]*f[b[2]*c[4]])/129140163 - 
  (25000000*f[a[1]^6]*f[b[2]*c[2]]*f[b[2]*c[4]])/3486784401 + 
  (1040000*f[a[2]^2]*f[b[2]*c[2]]*f[b[2]*c[4]])/129140163 - 
  (5200000*f[a[1]^2*a[2]^2]*f[b[2]*c[2]]*f[b[2]*c[4]])/3486784401 + 
  (1280000*f[a[1]*a[3]]*f[b[2]*c[2]]*f[b[2]*c[4]])/129140163 - 
  (6400000*f[a[1]^3*a[3]]*f[b[2]*c[2]]*f[b[2]*c[4]])/1162261467 - 
  (35720000*f[a[3]^2]*f[b[2]*c[2]]*f[b[2]*c[4]])/3486784401 - 
  (81920000*f[a[2]*a[4]]*f[b[2]*c[2]]*f[b[2]*c[4]])/10460353203 - 
  (83200000*f[a[1]*a[5]]*f[b[2]*c[2]]*f[b[2]*c[4]])/10460353203 + 
  (26138560*f[b[1]*c[1]]*f[b[2]*c[2]]*f[b[2]*c[4]])/129140163 - 
  (130692800*f[a[1]^2*b[1]*c[1]]*f[b[2]*c[2]]*f[b[2]*c[4]])/
   3486784401 + (653464000*f[a[1]^4*b[1]*c[1]]*f[b[2]*c[2]]*
     f[b[2]*c[4]])/31381059609 + 
  (679602560*f[a[2]^2*b[1]*c[1]]*f[b[2]*c[2]]*f[b[2]*c[4]])/
   31381059609 + (836433920*f[a[1]*a[3]*b[1]*c[1]]*f[b[2]*c[2]]*
     f[b[2]*c[4]])/31381059609 - 
  (208633600*f[b[3]*c[1]]*f[b[2]*c[2]]*f[b[2]*c[4]])/387420489 + 
  (1043168000*f[a[1]^2*b[3]*c[1]]*f[b[2]*c[2]]*f[b[2]*c[4]])/
   10460353203 - (19650348800*f[b[5]*c[1]]*f[b[2]*c[2]]*f[b[2]*c[4]])/
   31381059609 + (24800*f[b[2]*c[2]]^2*f[b[2]*c[4]])/531441 + 
  (640000*f[a[1]]*f[a[1]*b[2]*c[2]]*f[b[2]*c[4]])/14348907 - 
  (3200000*f[a[1]^3]*f[a[1]*b[2]*c[2]]*f[b[2]*c[4]])/129140163 + 
  (80000000*f[a[1]^5]*f[a[1]*b[2]*c[2]]*f[b[2]*c[4]])/3486784401 + 
  (16640000*f[a[1]*a[2]^2]*f[a[1]*b[2]*c[2]]*f[b[2]*c[4]])/3486784401 - 
  (640000*f[a[3]]*f[a[1]*b[2]*c[2]]*f[b[2]*c[4]])/129140163 + 
  (14720000*f[a[1]^2*a[3]]*f[a[1]*b[2]*c[2]]*f[b[2]*c[4]])/1162261467 + 
  (41600000*f[a[5]]*f[a[1]*b[2]*c[2]]*f[b[2]*c[4]])/10460353203 + 
  (418216960*f[a[1]*b[1]*c[1]]*f[a[1]*b[2]*c[2]]*f[b[2]*c[4]])/
   3486784401 - (2091084800*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[2]*c[2]]*
     f[b[2]*c[4]])/31381059609 - 
  (418216960*f[a[3]*b[1]*c[1]]*f[a[1]*b[2]*c[2]]*f[b[2]*c[4]])/
   31381059609 + (4096000*f[a[2]*b[2]*c[1]]*f[a[1]*b[2]*c[2]]*
     f[b[2]*c[4]])/129140163 - 
  (3338137600*f[a[1]*b[3]*c[1]]*f[a[1]*b[2]*c[2]]*f[b[2]*c[4]])/
   10460353203 - (645349376*f[a[2]*b[1]*c[2]]*f[a[1]*b[2]*c[2]]*
     f[b[2]*c[4]])/10460353203 + 
  (396800*f[a[1]*b[2]*c[2]]^2*f[b[2]*c[4]])/14348907 - 
  (200000*f[1]*f[a[1]^2*b[2]*c[2]]*f[b[2]*c[4]])/14348907 + 
  (7160000*f[a[1]^2]*f[a[1]^2*b[2]*c[2]]*f[b[2]*c[4]])/129140163 - 
  (209800000*f[a[1]^4]*f[a[1]^2*b[2]*c[2]]*f[b[2]*c[4]])/3486784401 + 
  (7805000000*f[a[1]^6]*f[a[1]^2*b[2]*c[2]]*f[b[2]*c[4]])/94143178827 + 
  (312080000*f[a[2]^2]*f[a[1]^2*b[2]*c[2]]*f[b[2]*c[4]])/10460353203 + 
  (37040000*f[a[1]^2*a[2]^2]*f[a[1]^2*b[2]*c[2]]*f[b[2]*c[4]])/
   282429536481 - (8960000*f[a[1]*a[3]]*f[a[1]^2*b[2]*c[2]]*
     f[b[2]*c[4]])/1162261467 + 
  (789760000*f[a[1]^3*a[3]]*f[a[1]^2*b[2]*c[2]]*f[b[2]*c[4]])/
   31381059609 + (240040000*f[a[3]^2]*f[a[1]^2*b[2]*c[2]]*
     f[b[2]*c[4]])/94143178827 - 
  (3522560000*f[a[2]*a[4]]*f[a[1]^2*b[2]*c[2]]*f[b[2]*c[4]])/
   282429536481 + (582400000*f[a[1]*a[5]]*f[a[1]^2*b[2]*c[2]]*
     f[b[2]*c[4]])/94143178827 - 
  (130692800*f[b[1]*c[1]]*f[a[1]^2*b[2]*c[2]]*f[b[2]*c[4]])/
   3486784401 + (4678802240*f[a[1]^2*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]]*
     f[b[2]*c[4]])/31381059609 - 
  (137096747200*f[a[1]^4*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]]*f[b[2]*c[4]])/
   847288609443 + (203933045120*f[a[2]^2*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]]*
     f[b[2]*c[4]])/2541865828329 - 
  (5855037440*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]]*f[b[2]*c[4]])/
   282429536481 + (131072000*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]^2*b[2]*c[2]]*
     f[b[2]*c[4]])/3486784401 + 
  (1043168000*f[b[3]*c[1]]*f[a[1]^2*b[2]*c[2]]*f[b[2]*c[4]])/
   10460353203 - (37345414400*f[a[1]^2*b[3]*c[1]]*f[a[1]^2*b[2]*c[2]]*
     f[b[2]*c[4]])/94143178827 + 
  (98251744000*f[b[5]*c[1]]*f[a[1]^2*b[2]*c[2]]*f[b[2]*c[4]])/
   847288609443 - (20651180032*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[1]^2*b[2]*c[2]]*f[b[2]*c[4]])/282429536481 - 
  (248000*f[b[2]*c[2]]*f[a[1]^2*b[2]*c[2]]*f[b[2]*c[4]])/14348907 + 
  (4439200*f[a[1]^2*b[2]*c[2]]^2*f[b[2]*c[4]])/129140163 - 
  (10240000*f[a[2]]*f[a[2]*b[2]*c[2]]*f[b[2]*c[4]])/129140163 + 
  (51200000*f[a[1]^2*a[2]]*f[a[2]*b[2]*c[2]]*f[b[2]*c[4]])/3486784401 - 
  (256000000*f[a[1]^4*a[2]]*f[a[2]*b[2]*c[2]]*f[b[2]*c[4]])/
   31381059609 - (266240000*f[a[2]^3]*f[a[2]*b[2]*c[2]]*f[b[2]*c[4]])/
   10460353203 - (327680000*f[a[1]*a[2]*a[3]]*f[a[2]*b[2]*c[2]]*
     f[b[2]*c[4]])/31381059609 + 
  (40960000*f[a[4]]*f[a[2]*b[2]*c[2]]*f[b[2]*c[4]])/10460353203 - 
  (204800000*f[a[1]^2*a[4]]*f[a[2]*b[2]*c[2]]*f[b[2]*c[4]])/
   282429536481 - (112640000*f[a[6]]*f[a[2]*b[2]*c[2]]*f[b[2]*c[4]])/
   31381059609 - (6691471360*f[a[2]*b[1]*c[1]]*f[a[2]*b[2]*c[2]]*
     f[b[2]*c[4]])/31381059609 + 
  (33457356800*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[2]*b[2]*c[2]]*
     f[b[2]*c[4]])/847288609443 + 
  (26765885440*f[a[4]*b[1]*c[1]]*f[a[2]*b[2]*c[2]]*f[b[2]*c[4]])/
   2541865828329 - (4096000*f[a[1]*b[2]*c[1]]*f[a[2]*b[2]*c[2]]*
     f[b[2]*c[4]])/129140163 + 
  (20480000*f[a[1]^3*b[2]*c[1]]*f[a[2]*b[2]*c[2]]*f[b[2]*c[4]])/
   1162261467 - (20480000*f[a[3]*b[2]*c[1]]*f[a[2]*b[2]*c[2]]*
     f[b[2]*c[4]])/387420489 + 
  (53410201600*f[a[2]*b[3]*c[1]]*f[a[2]*b[2]*c[2]]*f[b[2]*c[4]])/
   94143178827 - (1022814126080*f[a[1]*b[4]*c[1]]*f[a[2]*b[2]*c[2]]*
     f[b[2]*c[4]])/2541865828329 + 
  (645349376*f[a[1]*b[1]*c[2]]*f[a[2]*b[2]*c[2]]*f[b[2]*c[4]])/
   10460353203 - (3226746880*f[a[1]^3*b[1]*c[2]]*f[a[2]*b[2]*c[2]]*
     f[b[2]*c[4]])/94143178827 + 
  (3226746880*f[a[3]*b[1]*c[2]]*f[a[2]*b[2]*c[2]]*f[b[2]*c[4]])/
   31381059609 - (6348800*f[a[2]*b[2]*c[2]]^2*f[b[2]*c[4]])/129140163 - 
  (63078400*f[b[2]*c[1]]*f[b[3]*c[2]]*f[b[2]*c[4]])/129140163 + 
  (315392000*f[a[1]^2*b[2]*c[1]]*f[b[3]*c[2]]*f[b[2]*c[4]])/
   3486784401 - (8135966720*f[b[4]*c[1]]*f[b[3]*c[2]]*f[b[2]*c[4]])/
   31381059609 - (47644672*f[b[1]*c[2]]*f[b[3]*c[2]]*f[b[2]*c[4]])/
   387420489 + (238223360*f[a[1]^2*b[1]*c[2]]*f[b[3]*c[2]]*
     f[b[2]*c[4]])/10460353203 + 
  (320634880*f[b[3]*c[2]]^2*f[b[2]*c[4]])/1162261467 + 
  (47595520*f[a[2]]*f[a[1]*b[3]*c[2]]*f[b[2]*c[4]])/129140163 - 
  (237977600*f[a[1]^2*a[2]]*f[a[1]*b[3]*c[2]]*f[b[2]*c[4]])/
   3486784401 + (1189888000*f[a[1]^4*a[2]]*f[a[1]*b[3]*c[2]]*
     f[b[2]*c[4]])/31381059609 + 
  (1237483520*f[a[2]^3]*f[a[1]*b[3]*c[2]]*f[b[2]*c[4]])/10460353203 + 
  (1523056640*f[a[1]*a[2]*a[3]]*f[a[1]*b[3]*c[2]]*f[b[2]*c[4]])/
   31381059609 - (190382080*f[a[4]]*f[a[1]*b[3]*c[2]]*f[b[2]*c[4]])/
   1162261467 + (951910400*f[a[1]^2*a[4]]*f[a[1]*b[3]*c[2]]*
     f[b[2]*c[4]])/31381059609 + 
  (1189888000*f[a[6]]*f[a[1]*b[3]*c[2]]*f[b[2]*c[4]])/10460353203 - 
  (68239360*f[a[2]*b[1]*c[1]]*f[a[1]*b[3]*c[2]]*f[b[2]*c[4]])/
   31381059609 + (341196800*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[3]*c[2]]*
     f[b[2]*c[4]])/847288609443 + 
  (272957440*f[a[4]*b[1]*c[1]]*f[a[1]*b[3]*c[2]]*f[b[2]*c[4]])/
   282429536481 - (1009254400*f[a[1]*b[2]*c[1]]*f[a[1]*b[3]*c[2]]*
     f[b[2]*c[4]])/3486784401 + 
  (5046272000*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[3]*c[2]]*f[b[2]*c[4]])/
   31381059609 + (1009254400*f[a[3]*b[2]*c[1]]*f[a[1]*b[3]*c[2]]*
     f[b[2]*c[4]])/31381059609 - 
  (21836595200*f[a[2]*b[3]*c[1]]*f[a[1]*b[3]*c[2]]*f[b[2]*c[4]])/
   94143178827 - (130175467520*f[a[1]*b[4]*c[1]]*f[a[1]*b[3]*c[2]]*
     f[b[2]*c[4]])/847288609443 - 
  (762314752*f[a[1]*b[1]*c[2]]*f[a[1]*b[3]*c[2]]*f[b[2]*c[4]])/
   10460353203 + (3811573760*f[a[1]^3*b[1]*c[2]]*f[a[1]*b[3]*c[2]]*
     f[b[2]*c[4]])/94143178827 + 
  (762314752*f[a[3]*b[1]*c[2]]*f[a[1]*b[3]*c[2]]*f[b[2]*c[4]])/
   94143178827 + (3554754560*f[a[2]*b[2]*c[2]]*f[a[1]*b[3]*c[2]]*
     f[b[2]*c[4]])/31381059609 + 
  (5130158080*f[a[1]*b[3]*c[2]]^2*f[b[2]*c[4]])/31381059609 + 
  (167687168*f[1]*f[b[4]*c[2]]*f[b[2]*c[4]])/129140163 - 
  (838435840*f[a[1]^2]*f[b[4]*c[2]]*f[b[2]*c[4]])/3486784401 + 
  (4192179200*f[a[1]^4]*f[b[4]*c[2]]*f[b[2]*c[4]])/31381059609 - 
  (104804480000*f[a[1]^6]*f[b[4]*c[2]]*f[b[2]*c[4]])/847288609443 + 
  (4359866368*f[a[2]^2]*f[b[4]*c[2]]*f[b[2]*c[4]])/31381059609 - 
  (21799331840*f[a[1]^2*a[2]^2]*f[b[4]*c[2]]*f[b[2]*c[4]])/
   847288609443 + (5365989376*f[a[1]*a[3]]*f[b[4]*c[2]]*f[b[2]*c[4]])/
   31381059609 - (26829946880*f[a[1]^3*a[3]]*f[b[4]*c[2]]*
     f[b[2]*c[4]])/282429536481 - 
  (149744641024*f[a[3]^2]*f[b[4]*c[2]]*f[b[2]*c[4]])/847288609443 - 
  (343423320064*f[a[2]*a[4]]*f[b[4]*c[2]]*f[b[2]*c[4]])/2541865828329 - 
  (348789309440*f[a[1]*a[5]]*f[b[4]*c[2]]*f[b[2]*c[4]])/2541865828329 - 
  (198247424*f[b[1]*c[1]]*f[b[4]*c[2]]*f[b[2]*c[4]])/3486784401 + 
  (991237120*f[a[1]^2*b[1]*c[1]]*f[b[4]*c[2]]*f[b[2]*c[4]])/
   94143178827 - (4956185600*f[a[1]^4*b[1]*c[1]]*f[b[4]*c[2]]*
     f[b[2]*c[4]])/847288609443 - 
  (5154433024*f[a[2]^2*b[1]*c[1]]*f[b[4]*c[2]]*f[b[2]*c[4]])/
   847288609443 - (6343917568*f[a[1]*a[3]*b[1]*c[1]]*f[b[4]*c[2]]*
     f[b[2]*c[4]])/847288609443 - 
  (21906718720*f[b[3]*c[1]]*f[b[4]*c[2]]*f[b[2]*c[4]])/31381059609 + 
  (109533593600*f[a[1]^2*b[3]*c[1]]*f[b[4]*c[2]]*f[b[2]*c[4]])/
   847288609443 + (98350530560*f[b[5]*c[1]]*f[b[4]*c[2]]*f[b[2]*c[4]])/
   94143178827 + (5413342208*f[b[2]*c[2]]*f[b[4]*c[2]]*f[b[2]*c[4]])/
   10460353203 - (27066711040*f[a[1]^2*b[2]*c[2]]*f[b[4]*c[2]]*
     f[b[2]*c[4]])/282429536481 + 
  (135685734400*f[b[4]*c[2]]^2*f[b[2]*c[4]])/847288609443 + 
  (756160*f[1]*f[b[1]*b[2]*c[1]*c[2]]*f[b[2]*c[4]])/14348907 - 
  (3780800*f[a[1]^2]*f[b[1]*b[2]*c[1]*c[2]]*f[b[2]*c[4]])/387420489 + 
  (18904000*f[a[1]^4]*f[b[1]*b[2]*c[1]*c[2]]*f[b[2]*c[4]])/3486784401 - 
  (472600000*f[a[1]^6]*f[b[1]*b[2]*c[1]*c[2]]*f[b[2]*c[4]])/
   94143178827 + (19660160*f[a[2]^2]*f[b[1]*b[2]*c[1]*c[2]]*
     f[b[2]*c[4]])/3486784401 - 
  (98300800*f[a[1]^2*a[2]^2]*f[b[1]*b[2]*c[1]*c[2]]*f[b[2]*c[4]])/
   94143178827 + (24197120*f[a[1]*a[3]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[b[2]*c[4]])/3486784401 - 
  (120985600*f[a[1]^3*a[3]]*f[b[1]*b[2]*c[1]*c[2]]*f[b[2]*c[4]])/
   31381059609 - (675250880*f[a[3]^2]*f[b[1]*b[2]*c[1]*c[2]]*
     f[b[2]*c[4]])/94143178827 - 
  (1548615680*f[a[2]*a[4]]*f[b[1]*b[2]*c[1]*c[2]]*f[b[2]*c[4]])/
   282429536481 - (1572812800*f[a[1]*a[5]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[b[2]*c[4]])/282429536481 + 
  (204920000*f[b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*f[b[2]*c[4]])/
   1162261467 - (1024600000*f[a[1]^2*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[b[2]*c[4]])/31381059609 + 
  (5123000000*f[a[1]^4*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*f[b[2]*c[4]])/
   282429536481 + (5327920000*f[a[2]^2*b[1]*c[1]]*
     f[b[1]*b[2]*c[1]*c[2]]*f[b[2]*c[4]])/282429536481 + 
  (6557440000*f[a[1]*a[3]*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[b[2]*c[4]])/282429536481 - 
  (620230400*f[b[3]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*f[b[2]*c[4]])/
   3486784401 + (3101152000*f[a[1]^2*b[3]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[b[2]*c[4]])/94143178827 - 
  (29753939200*f[b[5]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*f[b[2]*c[4]])/
   94143178827 + (16278080*f[b[2]*c[2]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[b[2]*c[4]])/129140163 - 
  (81390400*f[a[1]^2*b[2]*c[2]]*f[b[1]*b[2]*c[1]*c[2]]*f[b[2]*c[4]])/
   3486784401 + (589231842304*f[b[4]*c[2]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[b[2]*c[4]])/2541865828329 + 
  (36641440*f[b[1]*b[2]*c[1]*c[2]]^2*f[b[2]*c[4]])/1162261467 + 
  (441088*f[1]*f[b[1]*c[3]]*f[b[2]*c[4]])/4782969 - 
  (2205440*f[a[1]^2]*f[b[1]*c[3]]*f[b[2]*c[4]])/129140163 + 
  (11027200*f[a[1]^4]*f[b[1]*c[3]]*f[b[2]*c[4]])/1162261467 - 
  (275680000*f[a[1]^6]*f[b[1]*c[3]]*f[b[2]*c[4]])/31381059609 + 
  (11468288*f[a[2]^2]*f[b[1]*c[3]]*f[b[2]*c[4]])/1162261467 - 
  (57341440*f[a[1]^2*a[2]^2]*f[b[1]*c[3]]*f[b[2]*c[4]])/31381059609 + 
  (14114816*f[a[1]*a[3]]*f[b[1]*c[3]]*f[b[2]*c[4]])/1162261467 - 
  (70574080*f[a[1]^3*a[3]]*f[b[1]*c[3]]*f[b[2]*c[4]])/10460353203 - 
  (393891584*f[a[3]^2]*f[b[1]*c[3]]*f[b[2]*c[4]])/31381059609 - 
  (903348224*f[a[2]*a[4]]*f[b[1]*c[3]]*f[b[2]*c[4]])/94143178827 - 
  (917463040*f[a[1]*a[5]]*f[b[1]*c[3]]*f[b[2]*c[4]])/94143178827 + 
  (766208*f[b[1]*c[1]]*f[b[1]*c[3]]*f[b[2]*c[4]])/14348907 - 
  (3831040*f[a[1]^2*b[1]*c[1]]*f[b[1]*c[3]]*f[b[2]*c[4]])/387420489 + 
  (19155200*f[a[1]^4*b[1]*c[1]]*f[b[1]*c[3]]*f[b[2]*c[4]])/3486784401 + 
  (19921408*f[a[2]^2*b[1]*c[1]]*f[b[1]*c[3]]*f[b[2]*c[4]])/3486784401 + 
  (24518656*f[a[1]*a[3]*b[1]*c[1]]*f[b[1]*c[3]]*f[b[2]*c[4]])/
   3486784401 + (166952960*f[b[3]*c[1]]*f[b[1]*c[3]]*f[b[2]*c[4]])/
   3486784401 - (834764800*f[a[1]^2*b[3]*c[1]]*f[b[1]*c[3]]*
     f[b[2]*c[4]])/94143178827 + 
  (198737920*f[b[5]*c[1]]*f[b[1]*c[3]]*f[b[2]*c[4]])/10460353203 - 
  (74678528*f[b[2]*c[2]]*f[b[1]*c[3]]*f[b[2]*c[4]])/1162261467 + 
  (373392640*f[a[1]^2*b[2]*c[2]]*f[b[1]*c[3]]*f[b[2]*c[4]])/
   31381059609 + (21906718720*f[b[4]*c[2]]*f[b[1]*c[3]]*f[b[2]*c[4]])/
   94143178827 - (5743268096*f[b[1]*b[2]*c[1]*c[2]]*f[b[1]*c[3]]*
     f[b[2]*c[4]])/94143178827 + 
  (6307840*f[b[1]*c[3]]^2*f[b[2]*c[4]])/1162261467 + 
  (7057408*f[a[1]]*f[a[1]*b[1]*c[3]]*f[b[2]*c[4]])/129140163 - 
  (35287040*f[a[1]^3]*f[a[1]*b[1]*c[3]]*f[b[2]*c[4]])/1162261467 + 
  (882176000*f[a[1]^5]*f[a[1]*b[1]*c[3]]*f[b[2]*c[4]])/31381059609 + 
  (183492608*f[a[1]*a[2]^2]*f[a[1]*b[1]*c[3]]*f[b[2]*c[4]])/
   31381059609 - (7057408*f[a[3]]*f[a[1]*b[1]*c[3]]*f[b[2]*c[4]])/
   1162261467 + (162320384*f[a[1]^2*a[3]]*f[a[1]*b[1]*c[3]]*
     f[b[2]*c[4]])/10460353203 + 
  (458731520*f[a[5]]*f[a[1]*b[1]*c[3]]*f[b[2]*c[4]])/94143178827 + 
  (12259328*f[a[1]*b[1]*c[1]]*f[a[1]*b[1]*c[3]]*f[b[2]*c[4]])/
   387420489 - (61296640*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[1]*c[3]]*
     f[b[2]*c[4]])/3486784401 - 
  (12259328*f[a[3]*b[1]*c[1]]*f[a[1]*b[1]*c[3]]*f[b[2]*c[4]])/
   3486784401 + (2212495360*f[a[2]*b[2]*c[1]]*f[a[1]*b[1]*c[3]]*
     f[b[2]*c[4]])/94143178827 + 
  (2671247360*f[a[1]*b[3]*c[1]]*f[a[1]*b[1]*c[3]]*f[b[2]*c[4]])/
   94143178827 - (1829765120*f[a[2]*b[1]*c[2]]*f[a[1]*b[1]*c[3]]*
     f[b[2]*c[4]])/94143178827 - 
  (1194856448*f[a[1]*b[2]*c[2]]*f[a[1]*b[1]*c[3]]*f[b[2]*c[4]])/
   31381059609 + (100925440*f[a[1]*b[1]*c[3]]^2*f[b[2]*c[4]])/
   31381059609 - (2205440*f[1]*f[a[1]^2*b[1]*c[3]]*f[b[2]*c[4]])/
   129140163 + (78954752*f[a[1]^2]*f[a[1]^2*b[1]*c[3]]*f[b[2]*c[4]])/
   1162261467 - (2313506560*f[a[1]^4]*f[a[1]^2*b[1]*c[3]]*
     f[b[2]*c[4]])/31381059609 + 
  (86067296000*f[a[1]^6]*f[a[1]^2*b[1]*c[3]]*f[b[2]*c[4]])/
   847288609443 + (3441368576*f[a[2]^2]*f[a[1]^2*b[1]*c[3]]*
     f[b[2]*c[4]])/94143178827 + 
  (408447488*f[a[1]^2*a[2]^2]*f[a[1]^2*b[1]*c[3]]*f[b[2]*c[4]])/
   2541865828329 - (98803712*f[a[1]*a[3]]*f[a[1]^2*b[1]*c[3]]*
     f[b[2]*c[4]])/10460353203 + 
  (8708841472*f[a[1]^3*a[3]]*f[a[1]^2*b[1]*c[3]]*f[b[2]*c[4]])/
   282429536481 + (2646969088*f[a[3]^2]*f[a[1]^2*b[1]*c[3]]*
     f[b[2]*c[4]])/847288609443 - 
  (38843973632*f[a[2]*a[4]]*f[a[1]^2*b[1]*c[3]]*f[b[2]*c[4]])/
   2541865828329 + (6422241280*f[a[1]*a[5]]*f[a[1]^2*b[1]*c[3]]*
     f[b[2]*c[4]])/847288609443 - 
  (3831040*f[b[1]*c[1]]*f[a[1]^2*b[1]*c[3]]*f[b[2]*c[4]])/387420489 + 
  (137151232*f[a[1]^2*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]]*f[b[2]*c[4]])/
   3486784401 - (4018760960*f[a[1]^4*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]]*
     f[b[2]*c[4]])/94143178827 + 
  (5977954816*f[a[2]^2*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]]*f[b[2]*c[4]])/
   282429536481 - (171630592*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]]*
     f[b[2]*c[4]])/31381059609 + 
  (70799851520*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]^2*b[1]*c[3]]*
     f[b[2]*c[4]])/2541865828329 - 
  (834764800*f[b[3]*c[1]]*f[a[1]^2*b[1]*c[3]]*f[b[2]*c[4]])/
   94143178827 + (29884579840*f[a[1]^2*b[3]*c[1]]*f[a[1]^2*b[1]*c[3]]*
     f[b[2]*c[4]])/847288609443 - 
  (993689600*f[b[5]*c[1]]*f[a[1]^2*b[1]*c[3]]*f[b[2]*c[4]])/
   282429536481 - (58552483840*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[1]^2*b[1]*c[3]]*f[b[2]*c[4]])/2541865828329 + 
  (373392640*f[b[2]*c[2]]*f[a[1]^2*b[1]*c[3]]*f[b[2]*c[4]])/
   31381059609 - (13367456512*f[a[1]^2*b[2]*c[2]]*f[a[1]^2*b[1]*c[3]]*
     f[b[2]*c[4]])/282429536481 - 
  (109533593600*f[b[4]*c[2]]*f[a[1]^2*b[1]*c[3]]*f[b[2]*c[4]])/
   2541865828329 + (28716340480*f[b[1]*b[2]*c[1]*c[2]]*
     f[a[1]^2*b[1]*c[3]]*f[b[2]*c[4]])/2541865828329 - 
  (63078400*f[b[1]*c[3]]*f[a[1]^2*b[1]*c[3]]*f[b[2]*c[4]])/
   31381059609 + (1129103360*f[a[1]^2*b[1]*c[3]]^2*f[b[2]*c[4]])/
   282429536481 - (112918528*f[a[2]]*f[a[2]*b[1]*c[3]]*f[b[2]*c[4]])/
   1162261467 + (564592640*f[a[1]^2*a[2]]*f[a[2]*b[1]*c[3]]*
     f[b[2]*c[4]])/31381059609 - 
  (2822963200*f[a[1]^4*a[2]]*f[a[2]*b[1]*c[3]]*f[b[2]*c[4]])/
   282429536481 - (2935881728*f[a[2]^3]*f[a[2]*b[1]*c[3]]*
     f[b[2]*c[4]])/94143178827 - 
  (3613392896*f[a[1]*a[2]*a[3]]*f[a[2]*b[1]*c[3]]*f[b[2]*c[4]])/
   282429536481 + (451674112*f[a[4]]*f[a[2]*b[1]*c[3]]*f[b[2]*c[4]])/
   94143178827 - (2258370560*f[a[1]^2*a[4]]*f[a[2]*b[1]*c[3]]*
     f[b[2]*c[4]])/2541865828329 - 
  (1242103808*f[a[6]]*f[a[2]*b[1]*c[3]]*f[b[2]*c[4]])/282429536481 - 
  (196149248*f[a[2]*b[1]*c[1]]*f[a[2]*b[1]*c[3]]*f[b[2]*c[4]])/
   3486784401 + (980746240*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[2]*b[1]*c[3]]*
     f[b[2]*c[4]])/94143178827 + 
  (784596992*f[a[4]*b[1]*c[1]]*f[a[2]*b[1]*c[3]]*f[b[2]*c[4]])/
   282429536481 - (2212495360*f[a[1]*b[2]*c[1]]*f[a[2]*b[1]*c[3]]*
     f[b[2]*c[4]])/94143178827 + 
  (11062476800*f[a[1]^3*b[2]*c[1]]*f[a[2]*b[1]*c[3]]*f[b[2]*c[4]])/
   847288609443 - (11062476800*f[a[3]*b[2]*c[1]]*f[a[2]*b[1]*c[3]]*
     f[b[2]*c[4]])/282429536481 - 
  (42739957760*f[a[2]*b[3]*c[1]]*f[a[2]*b[1]*c[3]]*f[b[2]*c[4]])/
   847288609443 - (13744734208*f[a[1]*b[4]*c[1]]*f[a[2]*b[1]*c[3]]*
     f[b[2]*c[4]])/282429536481 + 
  (1829765120*f[a[1]*b[1]*c[2]]*f[a[2]*b[1]*c[3]]*f[b[2]*c[4]])/
   94143178827 - (9148825600*f[a[1]^3*b[1]*c[2]]*f[a[2]*b[1]*c[3]]*
     f[b[2]*c[4]])/847288609443 + 
  (9148825600*f[a[3]*b[1]*c[2]]*f[a[2]*b[1]*c[3]]*f[b[2]*c[4]])/
   282429536481 + (19117703168*f[a[2]*b[2]*c[2]]*f[a[2]*b[1]*c[3]]*
     f[b[2]*c[4]])/282429536481 + 
  (396316639232*f[a[1]*b[3]*c[2]]*f[a[2]*b[1]*c[3]]*f[b[2]*c[4]])/
   2541865828329 - (1614807040*f[a[2]*b[1]*c[3]]^2*f[b[2]*c[4]])/
   282429536481 - (11472732160*f[b[4]*c[1]]*f[b[2]*c[3]]*f[b[2]*c[4]])/
   31381059609 + (17661952*f[b[1]*c[2]]*f[b[2]*c[3]]*f[b[2]*c[4]])/
   387420489 - (88309760*f[a[1]^2*b[1]*c[2]]*f[b[2]*c[3]]*
     f[b[2]*c[4]])/10460353203 + 
  (2822471680*f[b[3]*c[2]]*f[b[2]*c[3]]*f[b[2]*c[4]])/10460353203 - 
  (15564800*f[a[2]]*f[a[1]*b[2]*c[3]]*f[b[2]*c[4]])/1162261467 + 
  (77824000*f[a[1]^2*a[2]]*f[a[1]*b[2]*c[3]]*f[b[2]*c[4]])/
   31381059609 - (389120000*f[a[1]^4*a[2]]*f[a[1]*b[2]*c[3]]*
     f[b[2]*c[4]])/282429536481 - 
  (404684800*f[a[2]^3]*f[a[1]*b[2]*c[3]]*f[b[2]*c[4]])/94143178827 - 
  (498073600*f[a[1]*a[2]*a[3]]*f[a[1]*b[2]*c[3]]*f[b[2]*c[4]])/
   282429536481 + (62259200*f[a[4]]*f[a[1]*b[2]*c[3]]*f[b[2]*c[4]])/
   10460353203 - (311296000*f[a[1]^2*a[4]]*f[a[1]*b[2]*c[3]]*
     f[b[2]*c[4]])/282429536481 - 
  (389120000*f[a[6]]*f[a[1]*b[2]*c[3]]*f[b[2]*c[4]])/94143178827 - 
  (3263528960*f[a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[3]]*f[b[2]*c[4]])/
   94143178827 + (16317644800*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]*b[2]*c[3]]*f[b[2]*c[4]])/2541865828329 + 
  (13054115840*f[a[4]*b[1]*c[1]]*f[a[1]*b[2]*c[3]]*f[b[2]*c[4]])/
   847288609443 + (326264422400*f[a[2]*b[3]*c[1]]*f[a[1]*b[2]*c[3]]*
     f[b[2]*c[4]])/2541865828329 - 
  (183563714560*f[a[1]*b[4]*c[1]]*f[a[1]*b[2]*c[3]]*f[b[2]*c[4]])/
   847288609443 + (282591232*f[a[1]*b[1]*c[2]]*f[a[1]*b[2]*c[3]]*
     f[b[2]*c[4]])/10460353203 - 
  (1412956160*f[a[1]^3*b[1]*c[2]]*f[a[1]*b[2]*c[3]]*f[b[2]*c[4]])/
   94143178827 - (282591232*f[a[3]*b[1]*c[2]]*f[a[1]*b[2]*c[3]]*
     f[b[2]*c[4]])/94143178827 + 
  (15564800*f[a[2]*b[2]*c[2]]*f[a[1]*b[2]*c[3]]*f[b[2]*c[4]])/
   1162261467 + (45159546880*f[a[1]*b[3]*c[2]]*f[a[1]*b[2]*c[3]]*
     f[b[2]*c[4]])/282429536481 + 
  (3068133376*f[a[2]*b[1]*c[3]]*f[a[1]*b[2]*c[3]]*f[b[2]*c[4]])/
   282429536481 + (51142720*f[1]*f[b[3]*c[3]]*f[b[2]*c[4]])/129140163 - 
  (255713600*f[a[1]^2]*f[b[3]*c[3]]*f[b[2]*c[4]])/3486784401 + 
  (1278568000*f[a[1]^4]*f[b[3]*c[3]]*f[b[2]*c[4]])/31381059609 - 
  (31964200000*f[a[1]^6]*f[b[3]*c[3]]*f[b[2]*c[4]])/847288609443 + 
  (1329710720*f[a[2]^2]*f[b[3]*c[3]]*f[b[2]*c[4]])/31381059609 - 
  (6648553600*f[a[1]^2*a[2]^2]*f[b[3]*c[3]]*f[b[2]*c[4]])/
   847288609443 + (1636567040*f[a[1]*a[3]]*f[b[3]*c[3]]*f[b[2]*c[4]])/
   31381059609 - (8182835200*f[a[1]^3*a[3]]*f[b[3]*c[3]]*f[b[2]*c[4]])/
   282429536481 - (45670448960*f[a[3]^2]*f[b[3]*c[3]]*f[b[2]*c[4]])/
   847288609443 - (104740290560*f[a[2]*a[4]]*f[b[3]*c[3]]*
     f[b[2]*c[4]])/2541865828329 - 
  (106376857600*f[a[1]*a[5]]*f[b[3]*c[3]]*f[b[2]*c[4]])/2541865828329 + 
  (588409280*f[b[1]*c[1]]*f[b[3]*c[3]]*f[b[2]*c[4]])/3486784401 - 
  (2942046400*f[a[1]^2*b[1]*c[1]]*f[b[3]*c[3]]*f[b[2]*c[4]])/
   94143178827 + (14710232000*f[a[1]^4*b[1]*c[1]]*f[b[3]*c[3]]*
     f[b[2]*c[4]])/847288609443 + 
  (15298641280*f[a[2]^2*b[1]*c[1]]*f[b[3]*c[3]]*f[b[2]*c[4]])/
   847288609443 + (18829096960*f[a[1]*a[3]*b[1]*c[1]]*f[b[3]*c[3]]*
     f[b[2]*c[4]])/847288609443 + 
  (1778579200*f[b[3]*c[1]]*f[b[3]*c[3]]*f[b[2]*c[4]])/3486784401 - 
  (8892896000*f[a[1]^2*b[3]*c[1]]*f[b[3]*c[3]]*f[b[2]*c[4]])/
   94143178827 + (35293369600*f[b[5]*c[1]]*f[b[3]*c[3]]*f[b[2]*c[4]])/
   94143178827 - (2185023040*f[b[2]*c[2]]*f[b[3]*c[3]]*f[b[2]*c[4]])/
   10460353203 + (10925115200*f[a[1]^2*b[2]*c[2]]*f[b[3]*c[3]]*
     f[b[2]*c[4]])/282429536481 - 
  (905734808576*f[b[4]*c[2]]*f[b[3]*c[3]]*f[b[2]*c[4]])/2541865828329 - 
  (5087252800*f[b[1]*b[2]*c[1]*c[2]]*f[b[3]*c[3]]*f[b[2]*c[4]])/
   94143178827 + (2515540736*f[b[1]*c[3]]*f[b[3]*c[3]]*f[b[2]*c[4]])/
   31381059609 - (12577703680*f[a[1]^2*b[1]*c[3]]*f[b[3]*c[3]]*
     f[b[2]*c[4]])/847288609443 + 
  (217295489440*f[b[3]*c[3]]^2*f[b[2]*c[4]])/847288609443 - 
  (4096000*f[b[2]*c[1]]*f[b[1]*c[4]]*f[b[2]*c[4]])/1162261467 + 
  (20480000*f[a[1]^2*b[2]*c[1]]*f[b[1]*c[4]]*f[b[2]*c[4]])/
   31381059609 - (864747520*f[b[4]*c[1]]*f[b[1]*c[4]]*f[b[2]*c[4]])/
   10460353203 + (25133056*f[b[1]*c[2]]*f[b[1]*c[4]]*f[b[2]*c[4]])/
   1162261467 - (125665280*f[a[1]^2*b[1]*c[2]]*f[b[1]*c[4]]*
     f[b[2]*c[4]])/31381059609 + 
  (802324480*f[b[3]*c[2]]*f[b[1]*c[4]]*f[b[2]*c[4]])/10460353203 + 
  (63078400*f[b[2]*c[3]]*f[b[1]*c[4]]*f[b[2]*c[4]])/31381059609 + 
  (5324800*f[a[2]]*f[a[1]*b[1]*c[4]]*f[b[2]*c[4]])/1162261467 - 
  (26624000*f[a[1]^2*a[2]]*f[a[1]*b[1]*c[4]]*f[b[2]*c[4]])/
   31381059609 + (133120000*f[a[1]^4*a[2]]*f[a[1]*b[1]*c[4]]*
     f[b[2]*c[4]])/282429536481 + 
  (138444800*f[a[2]^3]*f[a[1]*b[1]*c[4]]*f[b[2]*c[4]])/94143178827 + 
  (170393600*f[a[1]*a[2]*a[3]]*f[a[1]*b[1]*c[4]]*f[b[2]*c[4]])/
   282429536481 - (21299200*f[a[4]]*f[a[1]*b[1]*c[4]]*f[b[2]*c[4]])/
   10460353203 + (106496000*f[a[1]^2*a[4]]*f[a[1]*b[1]*c[4]]*
     f[b[2]*c[4]])/282429536481 + 
  (133120000*f[a[6]]*f[a[1]*b[1]*c[4]]*f[b[2]*c[4]])/94143178827 + 
  (116080640*f[a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[4]]*f[b[2]*c[4]])/
   10460353203 - (580403200*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[4]]*
     f[b[2]*c[4]])/282429536481 - 
  (464322560*f[a[4]*b[1]*c[1]]*f[a[1]*b[1]*c[4]]*f[b[2]*c[4]])/
   94143178827 - (65536000*f[a[1]*b[2]*c[1]]*f[a[1]*b[1]*c[4]]*
     f[b[2]*c[4]])/31381059609 + 
  (327680000*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[1]*c[4]]*f[b[2]*c[4]])/
   282429536481 + (65536000*f[a[3]*b[2]*c[1]]*f[a[1]*b[1]*c[4]]*
     f[b[2]*c[4]])/282429536481 - 
  (1074790400*f[a[2]*b[3]*c[1]]*f[a[1]*b[1]*c[4]]*f[b[2]*c[4]])/
   31381059609 - (13835960320*f[a[1]*b[4]*c[1]]*f[a[1]*b[1]*c[4]]*
     f[b[2]*c[4]])/282429536481 + 
  (402128896*f[a[1]*b[1]*c[2]]*f[a[1]*b[1]*c[4]]*f[b[2]*c[4]])/
   31381059609 - (2010644480*f[a[1]^3*b[1]*c[2]]*f[a[1]*b[1]*c[4]]*
     f[b[2]*c[4]])/282429536481 - 
  (402128896*f[a[3]*b[1]*c[2]]*f[a[1]*b[1]*c[4]]*f[b[2]*c[4]])/
   282429536481 + (2304819200*f[a[2]*b[2]*c[2]]*f[a[1]*b[1]*c[4]]*
     f[b[2]*c[4]])/847288609443 + 
  (12837191680*f[a[1]*b[3]*c[2]]*f[a[1]*b[1]*c[4]]*f[b[2]*c[4]])/
   282429536481 - (1049624576*f[a[2]*b[1]*c[3]]*f[a[1]*b[1]*c[4]]*
     f[b[2]*c[4]])/282429536481 + 
  (1009254400*f[a[1]*b[2]*c[3]]*f[a[1]*b[1]*c[4]]*f[b[2]*c[4]])/
   847288609443 + (160000*f[1]*f[b[2]*c[4]]^2)/43046721 - 
  (800000*f[a[1]^2]*f[b[2]*c[4]]^2)/1162261467 + 
  (4000000*f[a[1]^4]*f[b[2]*c[4]]^2)/10460353203 - 
  (100000000*f[a[1]^6]*f[b[2]*c[4]]^2)/282429536481 + 
  (4160000*f[a[2]^2]*f[b[2]*c[4]]^2)/10460353203 - 
  (20800000*f[a[1]^2*a[2]^2]*f[b[2]*c[4]]^2)/282429536481 + 
  (5120000*f[a[1]*a[3]]*f[b[2]*c[4]]^2)/10460353203 - 
  (25600000*f[a[1]^3*a[3]]*f[b[2]*c[4]]^2)/94143178827 - 
  (142880000*f[a[3]^2]*f[b[2]*c[4]]^2)/282429536481 - 
  (327680000*f[a[2]*a[4]]*f[b[2]*c[4]]^2)/847288609443 - 
  (332800000*f[a[1]*a[5]]*f[b[2]*c[4]]^2)/847288609443 + 
  (8416000*f[b[1]*c[1]]*f[b[2]*c[4]]^2)/1162261467 - 
  (42080000*f[a[1]^2*b[1]*c[1]]*f[b[2]*c[4]]^2)/31381059609 + 
  (210400000*f[a[1]^4*b[1]*c[1]]*f[b[2]*c[4]]^2)/282429536481 + 
  (218816000*f[a[2]^2*b[1]*c[1]]*f[b[2]*c[4]]^2)/282429536481 + 
  (269312000*f[a[1]*a[3]*b[1]*c[1]]*f[b[2]*c[4]]^2)/282429536481 - 
  (225280000*f[b[3]*c[1]]*f[b[2]*c[4]]^2)/10460353203 + 
  (1126400000*f[a[1]^2*b[3]*c[1]]*f[b[2]*c[4]]^2)/282429536481 - 
  (58347520000*f[b[5]*c[1]]*f[b[2]*c[4]]^2)/2541865828329 - 
  (160000*f[b[2]*c[2]]*f[b[2]*c[4]]^2)/43046721 + 
  (800000*f[a[1]^2*b[2]*c[2]]*f[b[2]*c[4]]^2)/1162261467 - 
  (67842867200*f[b[4]*c[2]]*f[b[2]*c[4]]^2)/847288609443 - 
  (8416000*f[b[1]*b[2]*c[1]*c[2]]*f[b[2]*c[4]]^2)/1162261467 - 
  (63078400*f[b[1]*c[3]]*f[b[2]*c[4]]^2)/31381059609 + 
  (315392000*f[a[1]^2*b[1]*c[3]]*f[b[2]*c[4]]^2)/847288609443 - 
  (6930976000*f[b[3]*c[3]]*f[b[2]*c[4]]^2)/847288609443 - 
  (1136*f[1]^2*f[b[1]*c[5]])/6561 - 
  (18176*f[a[1]]^2*f[b[1]*c[5]])/177147 + 
  (11360*f[1]*f[a[1]^2]*f[b[1]*c[5]])/177147 - 
  (203344*f[a[1]^2]^2*f[b[1]*c[5]])/1594323 + 
  (181760*f[a[1]]*f[a[1]^3]*f[b[1]*c[5]])/1594323 - 
  (10669312*f[a[1]^3]^2*f[b[1]*c[5]])/43046721 - 
  (56800*f[1]*f[a[1]^4]*f[b[1]*c[5]])/1594323 + 
  (11916640*f[a[1]^2]*f[a[1]^4]*f[b[1]*c[5]])/43046721 - 
  (772210768*f[a[1]^4]^2*f[b[1]*c[5]])/1162261467 - 
  (4544000*f[a[1]]*f[a[1]^5]*f[b[1]*c[5]])/43046721 + 
  (998771200*f[a[1]^3]*f[a[1]^5]*f[b[1]*c[5]])/1162261467 - 
  (23921524480*f[a[1]^5]^2*f[b[1]*c[5]])/10460353203 + 
  (1420000*f[1]*f[a[1]^6]*f[b[1]*c[5]])/43046721 - 
  (443324000*f[a[1]^2]*f[a[1]^6]*f[b[1]*c[5]])/1162261467 + 
  (3797477600*f[a[1]^4]*f[a[1]^6]*f[b[1]*c[5]])/1162261467 - 
  (907894193360*f[a[1]^6]^2*f[b[1]*c[5]])/94143178827 + 
  (290816*f[a[2]]^2*f[b[1]*c[5]])/1594323 + 
  (18612224*f[a[1]*a[2]]^2*f[b[1]*c[5]])/129140163 - 
  (2908160*f[a[2]]*f[a[1]^2*a[2]]*f[b[1]*c[5]])/43046721 + 
  (766300160*f[a[1]^2*a[2]]^2*f[b[1]*c[5]])/3486784401 - 
  (186122240*f[a[1]*a[2]]*f[a[1]^3*a[2]]*f[b[1]*c[5]])/1162261467 + 
  (5230034944*f[a[1]^3*a[2]]^2*f[b[1]*c[5]])/10460353203 + 
  (14540800*f[a[2]]*f[a[1]^4*a[2]]*f[b[1]*c[5]])/387420489 - 
  (15107891200*f[a[1]^2*a[2]]*f[a[1]^4*a[2]]*f[b[1]*c[5]])/
   31381059609 + (1292281901056*f[a[1]^4*a[2]]^2*f[b[1]*c[5]])/
   847288609443 - (59072*f[1]*f[a[2]^2]*f[b[1]*c[5]])/1594323 - 
  (17726144*f[a[1]^2]*f[a[2]^2]*f[b[1]*c[5]])/129140163 + 
  (181691840*f[a[1]^4]*f[a[2]^2]*f[b[1]*c[5]])/1162261467 - 
  (2289608000*f[a[1]^6]*f[a[2]^2]*f[b[1]*c[5]])/10460353203 - 
  (49888576*f[a[2]^2]^2*f[b[1]*c[5]])/129140163 - 
  (945152*f[a[1]]*f[a[1]*a[2]^2]*f[b[1]*c[5]])/43046721 - 
  (283618304*f[a[1]^3]*f[a[1]*a[2]^2]*f[b[1]*c[5]])/1162261467 + 
  (14535347200*f[a[1]^5]*f[a[1]*a[2]^2]*f[b[1]*c[5]])/31381059609 - 
  (11948684288*f[a[1]*a[2]^2]^2*f[b[1]*c[5]])/31381059609 + 
  (295360*f[1]*f[a[1]^2*a[2]^2]*f[b[1]*c[5]])/43046721 - 
  (2103872*f[a[1]^2]*f[a[1]^2*a[2]^2]*f[b[1]*c[5]])/3486784401 - 
  (2117781184*f[a[1]^4]*f[a[1]^2*a[2]^2]*f[b[1]*c[5]])/3486784401 + 
  (158859716800*f[a[1]^6]*f[a[1]^2*a[2]^2]*f[b[1]*c[5]])/94143178827 + 
  (4006054016*f[a[2]^2]*f[a[1]^2*a[2]^2]*f[b[1]*c[5]])/31381059609 - 
  (1707139399616*f[a[1]^2*a[2]^2]^2*f[b[1]*c[5]])/2541865828329 + 
  (15122432*f[a[2]]*f[a[2]^3]*f[b[1]*c[5]])/129140163 + 
  (4537892864*f[a[1]^2*a[2]]*f[a[2]^3]*f[b[1]*c[5]])/10460353203 - 
  (46513111040*f[a[1]^4*a[2]]*f[a[2]^3]*f[b[1]*c[5]])/94143178827 + 
  (38707609600*f[a[2]^3]^2*f[b[1]*c[5]])/31381059609 + 
  (36352*f[a[1]]*f[a[3]]*f[b[1]*c[5]])/1594323 - 
  (181760*f[a[1]^3]*f[a[3]]*f[b[1]*c[5]])/14348907 + 
  (4544000*f[a[1]^5]*f[a[3]]*f[b[1]*c[5]])/387420489 + 
  (945152*f[a[1]*a[2]^2]*f[a[3]]*f[b[1]*c[5]])/387420489 - 
  (11687168*f[a[3]]^2*f[b[1]*c[5]])/43046721 - 
  (72704*f[1]*f[a[1]*a[3]]*f[b[1]*c[5]])/1594323 + 
  (508928*f[a[1]^2]*f[a[1]*a[3]]*f[b[1]*c[5]])/14348907 - 
  (13450240*f[a[1]^4]*f[a[1]*a[3]]*f[b[1]*c[5]])/387420489 + 
  (481664000*f[a[1]^6]*f[a[1]*a[3]]*f[b[1]*c[5]])/10460353203 - 
  (94951424*f[a[2]^2]*f[a[1]*a[3]]*f[b[1]*c[5]])/387420489 + 
  (505001984*f[a[1]^2*a[2]^2]*f[a[1]*a[3]]*f[b[1]*c[5]])/10460353203 - 
  (191356928*f[a[1]*a[3]]^2*f[b[1]*c[5]])/1162261467 - 
  (836096*f[a[1]]*f[a[1]^2*a[3]]*f[b[1]*c[5]])/14348907 + 
  (31153664*f[a[1]^3]*f[a[1]^2*a[3]]*f[b[1]*c[5]])/387420489 - 
  (1244147200*f[a[1]^5]*f[a[1]^2*a[3]]*f[b[1]*c[5]])/10460353203 - 
  (8831718400*f[a[1]*a[2]^2]*f[a[1]^2*a[3]]*f[b[1]*c[5]])/31381059609 + 
  (123851264*f[a[3]]*f[a[1]^2*a[3]]*f[b[1]*c[5]])/1162261467 - 
  (2196696832*f[a[1]^2*a[3]]^2*f[b[1]*c[5]])/10460353203 + 
  (363520*f[1]*f[a[1]^3*a[3]]*f[b[1]*c[5]])/14348907 - 
  (44858368*f[a[1]^2]*f[a[1]^3*a[3]]*f[b[1]*c[5]])/387420489 + 
  (2509669376*f[a[1]^4]*f[a[1]^3*a[3]]*f[b[1]*c[5]])/10460353203 - 
  (5127449600*f[a[1]^6]*f[a[1]^3*a[3]]*f[b[1]*c[5]])/10460353203 + 
  (828680192*f[a[2]^2]*f[a[1]^3*a[3]]*f[b[1]*c[5]])/10460353203 - 
  (46971000832*f[a[1]^2*a[2]^2]*f[a[1]^3*a[3]]*f[b[1]*c[5]])/
   94143178827 + (2025242624*f[a[1]*a[3]]*f[a[1]^3*a[3]]*f[b[1]*c[5]])/
   10460353203 - (118468550656*f[a[1]^3*a[3]]^2*f[b[1]*c[5]])/
   282429536481 + (37224448*f[a[1]*a[2]]*f[a[2]*a[3]]*f[b[1]*c[5]])/
   387420489 - (186122240*f[a[1]^3*a[2]]*f[a[2]*a[3]]*f[b[1]*c[5]])/
   3486784401 + (4038852608*f[a[2]*a[3]]^2*f[b[1]*c[5]])/10460353203 + 
  (18612224*f[a[2]]*f[a[1]*a[2]*a[3]]*f[b[1]*c[5]])/387420489 + 
  (2996568064*f[a[1]^2*a[2]]*f[a[1]*a[2]*a[3]]*f[b[1]*c[5]])/
   31381059609 - (31361597440*f[a[1]^4*a[2]]*f[a[1]*a[2]*a[3]]*
     f[b[1]*c[5]])/282429536481 + 
  (24307564544*f[a[2]^3]*f[a[1]*a[2]*a[3]]*f[b[1]*c[5]])/31381059609 + 
  (238385364992*f[a[1]*a[2]*a[3]]^2*f[b[1]*c[5]])/847288609443 + 
  (2028896*f[1]*f[a[3]^2]*f[b[1]*c[5]])/43046721 - 
  (13634272*f[a[1]^2]*f[a[3]^2]*f[b[1]*c[5]])/1162261467 + 
  (85620320*f[a[1]^4]*f[a[3]^2]*f[b[1]*c[5]])/10460353203 - 
  (2576732000*f[a[1]^6]*f[a[3]^2]*f[b[1]*c[5]])/282429536481 - 
  (4134999104*f[a[2]^2]*f[a[3]^2]*f[b[1]*c[5]])/10460353203 + 
  (20584260928*f[a[1]^2*a[2]^2]*f[a[3]^2]*f[b[1]*c[5]])/282429536481 + 
  (270967808*f[a[1]*a[3]]*f[a[3]^2]*f[b[1]*c[5]])/3486784401 - 
  (1392063488*f[a[1]^3*a[3]]*f[a[3]^2]*f[b[1]*c[5]])/31381059609 - 
  (80460356944*f[a[3]^2]^2*f[b[1]*c[5]])/94143178827 - 
  (2326528*f[a[2]]*f[a[4]]*f[b[1]*c[5]])/129140163 + 
  (11632640*f[a[1]^2*a[2]]*f[a[4]]*f[b[1]*c[5]])/3486784401 - 
  (58163200*f[a[1]^4*a[2]]*f[a[4]]*f[b[1]*c[5]])/31381059609 - 
  (60489728*f[a[2]^3]*f[a[4]]*f[b[1]*c[5]])/10460353203 - 
  (74448896*f[a[1]*a[2]*a[3]]*f[a[4]]*f[b[1]*c[5]])/31381059609 + 
  (414121984*f[a[4]]^2*f[b[1]*c[5]])/1162261467 - 
  (148897792*f[a[1]*a[2]]*f[a[1]*a[4]]*f[b[1]*c[5]])/3486784401 + 
  (744488960*f[a[1]^3*a[2]]*f[a[1]*a[4]]*f[b[1]*c[5]])/31381059609 + 
  (5509218304*f[a[2]*a[3]]*f[a[1]*a[4]]*f[b[1]*c[5]])/31381059609 + 
  (6849298432*f[a[1]*a[4]]^2*f[b[1]*c[5]])/31381059609 + 
  (11632640*f[a[2]]*f[a[1]^2*a[4]]*f[b[1]*c[5]])/3486784401 - 
  (932937728*f[a[1]^2*a[2]]*f[a[1]^2*a[4]]*f[b[1]*c[5]])/10460353203 + 
  (83673579520*f[a[1]^4*a[2]]*f[a[1]^2*a[4]]*f[b[1]*c[5]])/
   847288609443 - (18151571456*f[a[2]^3]*f[a[1]^2*a[4]]*f[b[1]*c[5]])/
   847288609443 + (20026753024*f[a[1]*a[2]*a[3]]*f[a[1]^2*a[4]]*
     f[b[1]*c[5]])/94143178827 - 
  (4141219840*f[a[4]]*f[a[1]^2*a[4]]*f[b[1]*c[5]])/31381059609 + 
  (78892564480*f[a[1]^2*a[4]]^2*f[b[1]*c[5]])/282429536481 + 
  (4653056*f[1]*f[a[2]*a[4]]*f[b[1]*c[5]])/129140163 + 
  (200081408*f[a[1]^2]*f[a[2]*a[4]]*f[b[1]*c[5]])/3486784401 - 
  (2117140480*f[a[1]^4]*f[a[2]*a[4]]*f[b[1]*c[5]])/31381059609 + 
  (80846848000*f[a[1]^6]*f[a[2]*a[4]]*f[b[1]*c[5]])/847288609443 + 
  (437387264*f[a[2]^2]*f[a[2]*a[4]]*f[b[1]*c[5]])/10460353203 - 
  (9306112*f[a[1]^2*a[2]^2]*f[a[2]*a[4]]*f[b[1]*c[5]])/10460353203 - 
  (3647995904*f[a[1]*a[3]]*f[a[2]*a[4]]*f[b[1]*c[5]])/31381059609 + 
  (25387073536*f[a[1]^3*a[3]]*f[a[2]*a[4]]*f[b[1]*c[5]])/282429536481 - 
  (496634626048*f[a[3]^2]*f[a[2]*a[4]]*f[b[1]*c[5]])/847288609443 - 
  (960092962816*f[a[2]*a[4]]^2*f[b[1]*c[5]])/2541865828329 - 
  (2362880*f[a[1]]*f[a[5]]*f[b[1]*c[5]])/129140163 + 
  (11814400*f[a[1]^3]*f[a[5]]*f[b[1]*c[5]])/1162261467 - 
  (295360000*f[a[1]^5]*f[a[5]]*f[b[1]*c[5]])/31381059609 - 
  (61434880*f[a[1]*a[2]^2]*f[a[5]]*f[b[1]*c[5]])/31381059609 + 
  (8542720*f[a[3]]*f[a[5]]*f[b[1]*c[5]])/387420489 - 
  (279365120*f[a[1]^2*a[3]]*f[a[5]]*f[b[1]*c[5]])/31381059609 - 
  (4644785920*f[a[5]]^2*f[b[1]*c[5]])/10460353203 + 
  (4725760*f[1]*f[a[1]*a[5]]*f[b[1]*c[5]])/129140163 - 
  (33080320*f[a[1]^2]*f[a[1]*a[5]]*f[b[1]*c[5]])/1162261467 + 
  (874265600*f[a[1]^4]*f[a[1]*a[5]]*f[b[1]*c[5]])/31381059609 - 
  (31308160000*f[a[1]^6]*f[a[1]*a[5]]*f[b[1]*c[5]])/847288609443 + 
  (3193886720*f[a[2]^2]*f[a[1]*a[5]]*f[b[1]*c[5]])/31381059609 - 
  (1992816640*f[a[1]^2*a[2]^2]*f[a[1]*a[5]]*f[b[1]*c[5]])/94143178827 + 
  (599080960*f[a[1]*a[3]]*f[a[1]*a[5]]*f[b[1]*c[5]])/31381059609 - 
  (5414993920*f[a[1]^3*a[3]]*f[a[1]*a[5]]*f[b[1]*c[5]])/282429536481 - 
  (6680407040*f[a[3]^2]*f[a[1]*a[5]]*f[b[1]*c[5]])/847288609443 - 
  (632443371520*f[a[2]*a[4]]*f[a[1]*a[5]]*f[b[1]*c[5]])/2541865828329 - 
  (674992660480*f[a[1]*a[5]]^2*f[b[1]*c[5]])/2541865828329 + 
  (6397952*f[a[2]]*f[a[6]]*f[b[1]*c[5]])/387420489 - 
  (31989760*f[a[1]^2*a[2]]*f[a[6]]*f[b[1]*c[5]])/10460353203 + 
  (159948800*f[a[1]^4*a[2]]*f[a[6]]*f[b[1]*c[5]])/94143178827 + 
  (166346752*f[a[2]^3]*f[a[6]]*f[b[1]*c[5]])/31381059609 + 
  (204734464*f[a[1]*a[2]*a[3]]*f[a[6]]*f[b[1]*c[5]])/94143178827 - 
  (207060992*f[a[4]]*f[a[6]]*f[b[1]*c[5]])/10460353203 + 
  (1035304960*f[a[1]^2*a[4]]*f[a[6]]*f[b[1]*c[5]])/282429536481 + 
  (149598949376*f[a[6]]^2*f[b[1]*c[5]])/282429536481 - 
  (11360*f[1]*f[b[1]*c[1]]*f[b[1]*c[5]])/59049 + 
  (56800*f[a[1]^2]*f[b[1]*c[1]]*f[b[1]*c[5]])/1594323 - 
  (284000*f[a[1]^4]*f[b[1]*c[1]]*f[b[1]*c[5]])/14348907 + 
  (7100000*f[a[1]^6]*f[b[1]*c[1]]*f[b[1]*c[5]])/387420489 - 
  (295360*f[a[2]^2]*f[b[1]*c[1]]*f[b[1]*c[5]])/14348907 + 
  (1476800*f[a[1]^2*a[2]^2]*f[b[1]*c[1]]*f[b[1]*c[5]])/387420489 - 
  (363520*f[a[1]*a[3]]*f[b[1]*c[1]]*f[b[1]*c[5]])/14348907 + 
  (1817600*f[a[1]^3*a[3]]*f[b[1]*c[1]]*f[b[1]*c[5]])/129140163 + 
  (10144480*f[a[3]^2]*f[b[1]*c[1]]*f[b[1]*c[5]])/387420489 + 
  (23265280*f[a[2]*a[4]]*f[b[1]*c[1]]*f[b[1]*c[5]])/1162261467 + 
  (23628800*f[a[1]*a[5]]*f[b[1]*c[1]]*f[b[1]*c[5]])/1162261467 - 
  (1136*f[b[1]*c[1]]^2*f[b[1]*c[5]])/59049 - 
  (181760*f[a[1]]*f[a[1]*b[1]*c[1]]*f[b[1]*c[5]])/1594323 + 
  (908800*f[a[1]^3]*f[a[1]*b[1]*c[1]]*f[b[1]*c[5]])/14348907 - 
  (22720000*f[a[1]^5]*f[a[1]*b[1]*c[1]]*f[b[1]*c[5]])/387420489 - 
  (4725760*f[a[1]*a[2]^2]*f[a[1]*b[1]*c[1]]*f[b[1]*c[5]])/387420489 + 
  (181760*f[a[3]]*f[a[1]*b[1]*c[1]]*f[b[1]*c[5]])/14348907 - 
  (4180480*f[a[1]^2*a[3]]*f[a[1]*b[1]*c[1]]*f[b[1]*c[5]])/129140163 - 
  (11814400*f[a[5]]*f[a[1]*b[1]*c[1]]*f[b[1]*c[5]])/1162261467 - 
  (18176*f[a[1]*b[1]*c[1]]^2*f[b[1]*c[5]])/1594323 + 
  (56800*f[1]*f[a[1]^2*b[1]*c[1]]*f[b[1]*c[5]])/1594323 - 
  (2033440*f[a[1]^2]*f[a[1]^2*b[1]*c[1]]*f[b[1]*c[5]])/14348907 + 
  (59583200*f[a[1]^4]*f[a[1]^2*b[1]*c[1]]*f[b[1]*c[5]])/387420489 - 
  (2216620000*f[a[1]^6]*f[a[1]^2*b[1]*c[1]]*f[b[1]*c[5]])/10460353203 - 
  (88630720*f[a[2]^2]*f[a[1]^2*b[1]*c[1]]*f[b[1]*c[5]])/1162261467 - 
  (10519360*f[a[1]^2*a[2]^2]*f[a[1]^2*b[1]*c[1]]*f[b[1]*c[5]])/
   31381059609 + (2544640*f[a[1]*a[3]]*f[a[1]^2*b[1]*c[1]]*
     f[b[1]*c[5]])/129140163 - 
  (224291840*f[a[1]^3*a[3]]*f[a[1]^2*b[1]*c[1]]*f[b[1]*c[5]])/
   3486784401 - (68171360*f[a[3]^2]*f[a[1]^2*b[1]*c[1]]*f[b[1]*c[5]])/
   10460353203 + (1000407040*f[a[2]*a[4]]*f[a[1]^2*b[1]*c[1]]*
     f[b[1]*c[5]])/31381059609 - 
  (165401600*f[a[1]*a[5]]*f[a[1]^2*b[1]*c[1]]*f[b[1]*c[5]])/
   10460353203 + (11360*f[b[1]*c[1]]*f[a[1]^2*b[1]*c[1]]*f[b[1]*c[5]])/
   1594323 - (203344*f[a[1]^2*b[1]*c[1]]^2*f[b[1]*c[5]])/14348907 + 
  (908800*f[a[1]]*f[a[1]^3*b[1]*c[1]]*f[b[1]*c[5]])/14348907 - 
  (106693120*f[a[1]^3]*f[a[1]^3*b[1]*c[1]]*f[b[1]*c[5]])/387420489 + 
  (4993856000*f[a[1]^5]*f[a[1]^3*b[1]*c[1]]*f[b[1]*c[5]])/10460353203 - 
  (1418091520*f[a[1]*a[2]^2]*f[a[1]^3*b[1]*c[1]]*f[b[1]*c[5]])/
   10460353203 - (908800*f[a[3]]*f[a[1]^3*b[1]*c[1]]*f[b[1]*c[5]])/
   129140163 + (155768320*f[a[1]^2*a[3]]*f[a[1]^3*b[1]*c[1]]*
     f[b[1]*c[5]])/3486784401 + 
  (59072000*f[a[5]]*f[a[1]^3*b[1]*c[1]]*f[b[1]*c[5]])/10460353203 + 
  (181760*f[a[1]*b[1]*c[1]]*f[a[1]^3*b[1]*c[1]]*f[b[1]*c[5]])/
   14348907 - (10669312*f[a[1]^3*b[1]*c[1]]^2*f[b[1]*c[5]])/387420489 - 
  (284000*f[1]*f[a[1]^4*b[1]*c[1]]*f[b[1]*c[5]])/14348907 + 
  (59583200*f[a[1]^2]*f[a[1]^4*b[1]*c[1]]*f[b[1]*c[5]])/387420489 - 
  (7722107680*f[a[1]^4]*f[a[1]^4*b[1]*c[1]]*f[b[1]*c[5]])/10460353203 + 
  (18987388000*f[a[1]^6]*f[a[1]^4*b[1]*c[1]]*f[b[1]*c[5]])/
   10460353203 + (908459200*f[a[2]^2]*f[a[1]^4*b[1]*c[1]]*
     f[b[1]*c[5]])/10460353203 - 
  (10588905920*f[a[1]^2*a[2]^2]*f[a[1]^4*b[1]*c[1]]*f[b[1]*c[5]])/
   31381059609 - (67251200*f[a[1]*a[3]]*f[a[1]^4*b[1]*c[1]]*
     f[b[1]*c[5]])/3486784401 + 
  (12548346880*f[a[1]^3*a[3]]*f[a[1]^4*b[1]*c[1]]*f[b[1]*c[5]])/
   94143178827 + (428101600*f[a[3]^2]*f[a[1]^4*b[1]*c[1]]*
     f[b[1]*c[5]])/94143178827 - 
  (10585702400*f[a[2]*a[4]]*f[a[1]^4*b[1]*c[1]]*f[b[1]*c[5]])/
   282429536481 + (4371328000*f[a[1]*a[5]]*f[a[1]^4*b[1]*c[1]]*
     f[b[1]*c[5]])/282429536481 - 
  (56800*f[b[1]*c[1]]*f[a[1]^4*b[1]*c[1]]*f[b[1]*c[5]])/14348907 + 
  (11916640*f[a[1]^2*b[1]*c[1]]*f[a[1]^4*b[1]*c[1]]*f[b[1]*c[5]])/
   387420489 - (772210768*f[a[1]^4*b[1]*c[1]]^2*f[b[1]*c[5]])/
   10460353203 + (2908160*f[a[2]]*f[a[2]*b[1]*c[1]]*f[b[1]*c[5]])/
   14348907 - (14540800*f[a[1]^2*a[2]]*f[a[2]*b[1]*c[1]]*f[b[1]*c[5]])/
   387420489 + (72704000*f[a[1]^4*a[2]]*f[a[2]*b[1]*c[1]]*
     f[b[1]*c[5]])/3486784401 + 
  (75612160*f[a[2]^3]*f[a[2]*b[1]*c[1]]*f[b[1]*c[5]])/1162261467 + 
  (93061120*f[a[1]*a[2]*a[3]]*f[a[2]*b[1]*c[1]]*f[b[1]*c[5]])/
   3486784401 - (11632640*f[a[4]]*f[a[2]*b[1]*c[1]]*f[b[1]*c[5]])/
   1162261467 + (58163200*f[a[1]^2*a[4]]*f[a[2]*b[1]*c[1]]*
     f[b[1]*c[5]])/31381059609 + 
  (31989760*f[a[6]]*f[a[2]*b[1]*c[1]]*f[b[1]*c[5]])/3486784401 + 
  (290816*f[a[2]*b[1]*c[1]]^2*f[b[1]*c[5]])/14348907 + 
  (186122240*f[a[1]*a[2]]*f[a[1]*a[2]*b[1]*c[1]]*f[b[1]*c[5]])/
   1162261467 - (930611200*f[a[1]^3*a[2]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[b[1]*c[5]])/10460353203 + 
  (186122240*f[a[2]*a[3]]*f[a[1]*a[2]*b[1]*c[1]]*f[b[1]*c[5]])/
   3486784401 - (744488960*f[a[1]*a[4]]*f[a[1]*a[2]*b[1]*c[1]]*
     f[b[1]*c[5]])/31381059609 + 
  (18612224*f[a[1]*a[2]*b[1]*c[1]]^2*f[b[1]*c[5]])/1162261467 - 
  (14540800*f[a[2]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[1]*c[5]])/387420489 + 
  (7663001600*f[a[1]^2*a[2]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[1]*c[5]])/
   31381059609 - (75539456000*f[a[1]^4*a[2]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[b[1]*c[5]])/282429536481 + 
  (22689464320*f[a[2]^3]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[1]*c[5]])/
   94143178827 + (14982840320*f[a[1]*a[2]*a[3]]*
     f[a[1]^2*a[2]*b[1]*c[1]]*f[b[1]*c[5]])/282429536481 + 
  (58163200*f[a[4]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[1]*c[5]])/
   31381059609 - (4664688640*f[a[1]^2*a[4]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[b[1]*c[5]])/94143178827 - 
  (159948800*f[a[6]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[1]*c[5]])/
   94143178827 - (2908160*f[a[2]*b[1]*c[1]]*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[b[1]*c[5]])/387420489 + 
  (766300160*f[a[1]^2*a[2]*b[1]*c[1]]^2*f[b[1]*c[5]])/31381059609 - 
  (295360*f[1]*f[a[2]^2*b[1]*c[1]]*f[b[1]*c[5]])/14348907 - 
  (88630720*f[a[1]^2]*f[a[2]^2*b[1]*c[1]]*f[b[1]*c[5]])/1162261467 + 
  (908459200*f[a[1]^4]*f[a[2]^2*b[1]*c[1]]*f[b[1]*c[5]])/10460353203 - 
  (11448040000*f[a[1]^6]*f[a[2]^2*b[1]*c[1]]*f[b[1]*c[5]])/
   94143178827 - (498885760*f[a[2]^2]*f[a[2]^2*b[1]*c[1]]*
     f[b[1]*c[5]])/1162261467 + 
  (20030270080*f[a[1]^2*a[2]^2]*f[a[2]^2*b[1]*c[1]]*f[b[1]*c[5]])/
   282429536481 - (474757120*f[a[1]*a[3]]*f[a[2]^2*b[1]*c[1]]*
     f[b[1]*c[5]])/3486784401 + 
  (4143400960*f[a[1]^3*a[3]]*f[a[2]^2*b[1]*c[1]]*f[b[1]*c[5]])/
   94143178827 - (20674995520*f[a[3]^2]*f[a[2]^2*b[1]*c[1]]*
     f[b[1]*c[5]])/94143178827 + 
  (2186936320*f[a[2]*a[4]]*f[a[2]^2*b[1]*c[1]]*f[b[1]*c[5]])/
   94143178827 + (15969433600*f[a[1]*a[5]]*f[a[2]^2*b[1]*c[1]]*
     f[b[1]*c[5]])/282429536481 - 
  (59072*f[b[1]*c[1]]*f[a[2]^2*b[1]*c[1]]*f[b[1]*c[5]])/14348907 - 
  (17726144*f[a[1]^2*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]]*f[b[1]*c[5]])/
   1162261467 + (181691840*f[a[1]^4*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]]*
     f[b[1]*c[5]])/10460353203 - 
  (49888576*f[a[2]^2*b[1]*c[1]]^2*f[b[1]*c[5]])/1162261467 + 
  (181760*f[a[1]]*f[a[3]*b[1]*c[1]]*f[b[1]*c[5]])/14348907 - 
  (908800*f[a[1]^3]*f[a[3]*b[1]*c[1]]*f[b[1]*c[5]])/129140163 + 
  (22720000*f[a[1]^5]*f[a[3]*b[1]*c[1]]*f[b[1]*c[5]])/3486784401 + 
  (4725760*f[a[1]*a[2]^2]*f[a[3]*b[1]*c[1]]*f[b[1]*c[5]])/3486784401 - 
  (116871680*f[a[3]]*f[a[3]*b[1]*c[1]]*f[b[1]*c[5]])/387420489 + 
  (619256320*f[a[1]^2*a[3]]*f[a[3]*b[1]*c[1]]*f[b[1]*c[5]])/
   10460353203 + (42713600*f[a[5]]*f[a[3]*b[1]*c[1]]*f[b[1]*c[5]])/
   3486784401 + (36352*f[a[1]*b[1]*c[1]]*f[a[3]*b[1]*c[1]]*
     f[b[1]*c[5]])/14348907 - 
  (181760*f[a[1]^3*b[1]*c[1]]*f[a[3]*b[1]*c[1]]*f[b[1]*c[5]])/
   129140163 - (11687168*f[a[3]*b[1]*c[1]]^2*f[b[1]*c[5]])/387420489 - 
  (363520*f[1]*f[a[1]*a[3]*b[1]*c[1]]*f[b[1]*c[5]])/14348907 + 
  (2544640*f[a[1]^2]*f[a[1]*a[3]*b[1]*c[1]]*f[b[1]*c[5]])/129140163 - 
  (67251200*f[a[1]^4]*f[a[1]*a[3]*b[1]*c[1]]*f[b[1]*c[5]])/3486784401 + 
  (2408320000*f[a[1]^6]*f[a[1]*a[3]*b[1]*c[1]]*f[b[1]*c[5]])/
   94143178827 - (474757120*f[a[2]^2]*f[a[1]*a[3]*b[1]*c[1]]*
     f[b[1]*c[5]])/3486784401 + 
  (2525009920*f[a[1]^2*a[2]^2]*f[a[1]*a[3]*b[1]*c[1]]*f[b[1]*c[5]])/
   94143178827 - (1913569280*f[a[1]*a[3]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[b[1]*c[5]])/10460353203 + 
  (10126213120*f[a[1]^3*a[3]]*f[a[1]*a[3]*b[1]*c[1]]*f[b[1]*c[5]])/
   94143178827 + (1354839040*f[a[3]^2]*f[a[1]*a[3]*b[1]*c[1]]*
     f[b[1]*c[5]])/31381059609 - 
  (18239979520*f[a[2]*a[4]]*f[a[1]*a[3]*b[1]*c[1]]*f[b[1]*c[5]])/
   282429536481 + (2995404800*f[a[1]*a[5]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[b[1]*c[5]])/282429536481 - 
  (72704*f[b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]]*f[b[1]*c[5]])/14348907 + 
  (508928*f[a[1]^2*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]]*f[b[1]*c[5]])/
   129140163 - (13450240*f[a[1]^4*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]]*
     f[b[1]*c[5]])/3486784401 - 
  (94951424*f[a[2]^2*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]]*f[b[1]*c[5]])/
   3486784401 - (191356928*f[a[1]*a[3]*b[1]*c[1]]^2*f[b[1]*c[5]])/
   10460353203 - (11632640*f[a[2]]*f[a[4]*b[1]*c[1]]*f[b[1]*c[5]])/
   1162261467 + (58163200*f[a[1]^2*a[2]]*f[a[4]*b[1]*c[1]]*
     f[b[1]*c[5]])/31381059609 - 
  (290816000*f[a[1]^4*a[2]]*f[a[4]*b[1]*c[1]]*f[b[1]*c[5]])/
   282429536481 - (302448640*f[a[2]^3]*f[a[4]*b[1]*c[1]]*f[b[1]*c[5]])/
   94143178827 - (372244480*f[a[1]*a[2]*a[3]]*f[a[4]*b[1]*c[1]]*
     f[b[1]*c[5]])/282429536481 + 
  (4141219840*f[a[4]]*f[a[4]*b[1]*c[1]]*f[b[1]*c[5]])/10460353203 - 
  (20706099200*f[a[1]^2*a[4]]*f[a[4]*b[1]*c[1]]*f[b[1]*c[5]])/
   282429536481 - (1035304960*f[a[6]]*f[a[4]*b[1]*c[1]]*f[b[1]*c[5]])/
   94143178827 - (2326528*f[a[2]*b[1]*c[1]]*f[a[4]*b[1]*c[1]]*
     f[b[1]*c[5]])/1162261467 + 
  (11632640*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[4]*b[1]*c[1]]*f[b[1]*c[5]])/
   31381059609 + (414121984*f[a[4]*b[1]*c[1]]^2*f[b[1]*c[5]])/
   10460353203 + (655360*f[b[2]*c[1]]^2*f[b[1]*c[5]])/129140163 - 
  (704512*f[a[2]]*f[a[1]*b[2]*c[1]]*f[b[1]*c[5]])/14348907 + 
  (3522560*f[a[1]^2*a[2]]*f[a[1]*b[2]*c[1]]*f[b[1]*c[5]])/387420489 - 
  (17612800*f[a[1]^4*a[2]]*f[a[1]*b[2]*c[1]]*f[b[1]*c[5]])/3486784401 - 
  (18317312*f[a[2]^3]*f[a[1]*b[2]*c[1]]*f[b[1]*c[5]])/1162261467 - 
  (22544384*f[a[1]*a[2]*a[3]]*f[a[1]*b[2]*c[1]]*f[b[1]*c[5]])/
   3486784401 + (2818048*f[a[4]]*f[a[1]*b[2]*c[1]]*f[b[1]*c[5]])/
   129140163 - (14090240*f[a[1]^2*a[4]]*f[a[1]*b[2]*c[1]]*
     f[b[1]*c[5]])/3486784401 - 
  (17612800*f[a[6]]*f[a[1]*b[2]*c[1]]*f[b[1]*c[5]])/1162261467 - 
  (52871168*f[a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*f[b[1]*c[5]])/
   1162261467 + (264355840*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*
     f[b[1]*c[5]])/31381059609 + 
  (211484672*f[a[4]*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*f[b[1]*c[5]])/
   10460353203 + (10485760*f[a[1]*b[2]*c[1]]^2*f[b[1]*c[5]])/3486784401 - 
  (22544384*f[a[1]*a[2]]*f[a[1]^2*b[2]*c[1]]*f[b[1]*c[5]])/387420489 + 
  (112721920*f[a[1]^3*a[2]]*f[a[1]^2*b[2]*c[1]]*f[b[1]*c[5]])/
   3486784401 + (22544384*f[a[2]*a[3]]*f[a[1]^2*b[2]*c[1]]*
     f[b[1]*c[5]])/3486784401 + 
  (90177536*f[a[1]*a[4]]*f[a[1]^2*b[2]*c[1]]*f[b[1]*c[5]])/3486784401 - 
  (1691877376*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*f[b[1]*c[5]])/
   31381059609 - (6553600*f[b[2]*c[1]]*f[a[1]^2*b[2]*c[1]]*
     f[b[1]*c[5]])/3486784401 + 
  (117309440*f[a[1]^2*b[2]*c[1]]^2*f[b[1]*c[5]])/31381059609 + 
  (3522560*f[a[2]]*f[a[1]^3*b[2]*c[1]]*f[b[1]*c[5]])/129140163 - 
  (126107648*f[a[1]^2*a[2]]*f[a[1]^3*b[2]*c[1]]*f[b[1]*c[5]])/
   1162261467 + (3695165440*f[a[1]^4*a[2]]*f[a[1]^3*b[2]*c[1]]*
     f[b[1]*c[5]])/31381059609 - 
  (4947083264*f[a[2]^3]*f[a[1]^3*b[2]*c[1]]*f[b[1]*c[5]])/94143178827 + 
  (157810688*f[a[1]*a[2]*a[3]]*f[a[1]^3*b[2]*c[1]]*f[b[1]*c[5]])/
   10460353203 - (14090240*f[a[4]]*f[a[1]^3*b[2]*c[1]]*f[b[1]*c[5]])/
   1162261467 + (504430592*f[a[1]^2*a[4]]*f[a[1]^3*b[2]*c[1]]*
     f[b[1]*c[5]])/10460353203 + 
  (88064000*f[a[6]]*f[a[1]^3*b[2]*c[1]]*f[b[1]*c[5]])/10460353203 + 
  (264355840*f[a[2]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*f[b[1]*c[5]])/
   10460353203 - (9463939072*f[a[1]^2*a[2]*b[1]*c[1]]*
     f[a[1]^3*b[2]*c[1]]*f[b[1]*c[5]])/94143178827 - 
  (1057423360*f[a[4]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*f[b[1]*c[5]])/
   94143178827 - (104857600*f[a[1]*b[2]*c[1]]*f[a[1]^3*b[2]*c[1]]*
     f[b[1]*c[5]])/31381059609 + 
  (6155141120*f[a[1]^3*b[2]*c[1]]^2*f[b[1]*c[5]])/847288609443 + 
  (704512*f[a[1]]*f[a[2]*b[2]*c[1]]*f[b[1]*c[5]])/14348907 - 
  (3522560*f[a[1]^3]*f[a[2]*b[2]*c[1]]*f[b[1]*c[5]])/129140163 + 
  (88064000*f[a[1]^5]*f[a[2]*b[2]*c[1]]*f[b[1]*c[5]])/3486784401 + 
  (18317312*f[a[1]*a[2]^2]*f[a[2]*b[2]*c[1]]*f[b[1]*c[5]])/3486784401 + 
  (3522560*f[a[3]]*f[a[2]*b[2]*c[1]]*f[b[1]*c[5]])/43046721 - 
  (7749632*f[a[1]^2*a[3]]*f[a[2]*b[2]*c[1]]*f[b[1]*c[5]])/3486784401 - 
  (38748160*f[a[5]]*f[a[2]*b[2]*c[1]]*f[b[1]*c[5]])/1162261467 + 
  (52871168*f[a[1]*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*f[b[1]*c[5]])/
   1162261467 - (264355840*f[a[1]^3*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*
     f[b[1]*c[5]])/10460353203 + 
  (264355840*f[a[3]*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*f[b[1]*c[5]])/
   3486784401 - (167772160*f[a[2]*b[2]*c[1]]^2*f[b[1]*c[5]])/
   31381059609 + (22544384*f[a[1]^2]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[1]*c[5]])/387420489 - 
  (225443840*f[a[1]^4]*f[a[1]*a[2]*b[2]*c[1]]*f[b[1]*c[5]])/
   3486784401 + (2818048000*f[a[1]^6]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[1]*c[5]])/31381059609 + 
  (360710144*f[a[2]^2]*f[a[1]*a[2]*b[2]*c[1]]*f[b[1]*c[5]])/
   3486784401 - (45088768*f[a[1]^2*a[2]^2]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[1]*c[5]])/3486784401 + 
  (157810688*f[a[1]*a[3]]*f[a[1]*a[2]*b[2]*c[1]]*f[b[1]*c[5]])/
   3486784401 - (22544384*f[a[1]^3*a[3]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[1]*c[5]])/10460353203 - 
  (112721920*f[a[3]^2]*f[a[1]*a[2]*b[2]*c[1]]*f[b[1]*c[5]])/
   10460353203 - (7214202880*f[a[2]*a[4]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[1]*c[5]])/282429536481 - 
  (4847042560*f[a[1]*a[5]]*f[a[1]*a[2]*b[2]*c[1]]*f[b[1]*c[5]])/
   282429536481 + (1691877376*f[a[1]^2*b[1]*c[1]]*
     f[a[1]*a[2]*b[2]*c[1]]*f[b[1]*c[5]])/31381059609 - 
  (16918773760*f[a[1]^4*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[1]*c[5]])/282429536481 + 
  (27070038016*f[a[2]^2*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[1]*c[5]])/282429536481 + 
  (11843141632*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
     f[b[1]*c[5]])/282429536481 - 
  (10737418240*f[a[1]*a[2]*b[2]*c[1]]^2*f[b[1]*c[5]])/2541865828329 - 
  (3522560*f[a[2]]*f[a[3]*b[2]*c[1]]*f[b[1]*c[5]])/43046721 + 
  (17612800*f[a[1]^2*a[2]]*f[a[3]*b[2]*c[1]]*f[b[1]*c[5]])/1162261467 - 
  (88064000*f[a[1]^4*a[2]]*f[a[3]*b[2]*c[1]]*f[b[1]*c[5]])/
   10460353203 - (91586560*f[a[2]^3]*f[a[3]*b[2]*c[1]]*f[b[1]*c[5]])/
   3486784401 - (112721920*f[a[1]*a[2]*a[3]]*f[a[3]*b[2]*c[1]]*
     f[b[1]*c[5]])/10460353203 - 
  (138084352*f[a[4]]*f[a[3]*b[2]*c[1]]*f[b[1]*c[5]])/1162261467 + 
  (690421760*f[a[1]^2*a[4]]*f[a[3]*b[2]*c[1]]*f[b[1]*c[5]])/
   31381059609 + (4475764736*f[a[6]]*f[a[3]*b[2]*c[1]]*f[b[1]*c[5]])/
   94143178827 - (264355840*f[a[2]*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[b[1]*c[5]])/3486784401 + 
  (1321779200*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*f[b[1]*c[5]])/
   94143178827 - (10362748928*f[a[4]*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[b[1]*c[5]])/94143178827 - 
  (20971520*f[a[1]*b[2]*c[1]]*f[a[3]*b[2]*c[1]]*f[b[1]*c[5]])/
   31381059609 + (104857600*f[a[1]^3*b[2]*c[1]]*f[a[3]*b[2]*c[1]]*
     f[b[1]*c[5]])/282429536481 + 
  (6742343680*f[a[3]*b[2]*c[1]]^2*f[b[1]*c[5]])/847288609443 + 
  (267392*f[1]*f[b[3]*c[1]]*f[b[1]*c[5]])/1594323 - 
  (1336960*f[a[1]^2]*f[b[3]*c[1]]*f[b[1]*c[5]])/43046721 + 
  (6684800*f[a[1]^4]*f[b[3]*c[1]]*f[b[1]*c[5]])/387420489 - 
  (167120000*f[a[1]^6]*f[b[3]*c[1]]*f[b[1]*c[5]])/10460353203 + 
  (6952192*f[a[2]^2]*f[b[3]*c[1]]*f[b[1]*c[5]])/387420489 - 
  (34760960*f[a[1]^2*a[2]^2]*f[b[3]*c[1]]*f[b[1]*c[5]])/10460353203 + 
  (8556544*f[a[1]*a[3]]*f[b[3]*c[1]]*f[b[1]*c[5]])/387420489 - 
  (42782720*f[a[1]^3*a[3]]*f[b[3]*c[1]]*f[b[1]*c[5]])/3486784401 - 
  (238781056*f[a[3]^2]*f[b[3]*c[1]]*f[b[1]*c[5]])/10460353203 - 
  (547618816*f[a[2]*a[4]]*f[b[3]*c[1]]*f[b[1]*c[5]])/31381059609 - 
  (556175360*f[a[1]*a[5]]*f[b[3]*c[1]]*f[b[1]*c[5]])/31381059609 + 
  (1357952*f[b[1]*c[1]]*f[b[3]*c[1]]*f[b[1]*c[5]])/14348907 - 
  (6789760*f[a[1]^2*b[1]*c[1]]*f[b[3]*c[1]]*f[b[1]*c[5]])/387420489 + 
  (33948800*f[a[1]^4*b[1]*c[1]]*f[b[3]*c[1]]*f[b[1]*c[5]])/3486784401 + 
  (35306752*f[a[2]^2*b[1]*c[1]]*f[b[3]*c[1]]*f[b[1]*c[5]])/3486784401 + 
  (43454464*f[a[1]*a[3]*b[1]*c[1]]*f[b[3]*c[1]]*f[b[1]*c[5]])/
   3486784401 - (5242880*f[b[3]*c[1]]^2*f[b[1]*c[5]])/129140163 + 
  (4278272*f[a[1]]*f[a[1]*b[3]*c[1]]*f[b[1]*c[5]])/43046721 - 
  (21391360*f[a[1]^3]*f[a[1]*b[3]*c[1]]*f[b[1]*c[5]])/387420489 + 
  (534784000*f[a[1]^5]*f[a[1]*b[3]*c[1]]*f[b[1]*c[5]])/10460353203 + 
  (111235072*f[a[1]*a[2]^2]*f[a[1]*b[3]*c[1]]*f[b[1]*c[5]])/
   10460353203 - (4278272*f[a[3]]*f[a[1]*b[3]*c[1]]*f[b[1]*c[5]])/
   387420489 + (98400256*f[a[1]^2*a[3]]*f[a[1]*b[3]*c[1]]*
     f[b[1]*c[5]])/3486784401 + 
  (278087680*f[a[5]]*f[a[1]*b[3]*c[1]]*f[b[1]*c[5]])/31381059609 + 
  (21727232*f[a[1]*b[1]*c[1]]*f[a[1]*b[3]*c[1]]*f[b[1]*c[5]])/
   387420489 - (108636160*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[3]*c[1]]*
     f[b[1]*c[5]])/3486784401 - 
  (21727232*f[a[3]*b[1]*c[1]]*f[a[1]*b[3]*c[1]]*f[b[1]*c[5]])/
   3486784401 - (734003200*f[a[2]*b[2]*c[1]]*f[a[1]*b[3]*c[1]]*
     f[b[1]*c[5]])/31381059609 - 
  (83886080*f[a[1]*b[3]*c[1]]^2*f[b[1]*c[5]])/3486784401 - 
  (1336960*f[1]*f[a[1]^2*b[3]*c[1]]*f[b[1]*c[5]])/43046721 + 
  (47863168*f[a[1]^2]*f[a[1]^2*b[3]*c[1]]*f[b[1]*c[5]])/387420489 - 
  (1402471040*f[a[1]^4]*f[a[1]^2*b[3]*c[1]]*f[b[1]*c[5]])/10460353203 + 
  (52174864000*f[a[1]^6]*f[a[1]^2*b[3]*c[1]]*f[b[1]*c[5]])/
   282429536481 + (2086192384*f[a[2]^2]*f[a[1]^2*b[3]*c[1]]*
     f[b[1]*c[5]])/31381059609 + 
  (247604992*f[a[1]^2*a[2]^2]*f[a[1]^2*b[3]*c[1]]*f[b[1]*c[5]])/
   847288609443 - (59895808*f[a[1]*a[3]]*f[a[1]^2*b[3]*c[1]]*
     f[b[1]*c[5]])/3486784401 + 
  (5279387648*f[a[1]^3*a[3]]*f[a[1]^2*b[3]*c[1]]*f[b[1]*c[5]])/
   94143178827 + (1604619392*f[a[3]^2]*f[a[1]^2*b[3]*c[1]]*
     f[b[1]*c[5]])/282429536481 - 
  (23547609088*f[a[2]*a[4]]*f[a[1]^2*b[3]*c[1]]*f[b[1]*c[5]])/
   847288609443 + (3893227520*f[a[1]*a[5]]*f[a[1]^2*b[3]*c[1]]*
     f[b[1]*c[5]])/282429536481 - 
  (6789760*f[b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*f[b[1]*c[5]])/387420489 + 
  (243073408*f[a[1]^2*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*f[b[1]*c[5]])/
   3486784401 - (7122458240*f[a[1]^4*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[b[1]*c[5]])/94143178827 + 
  (10594741504*f[a[2]^2*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*f[b[1]*c[5]])/
   282429536481 - (304181248*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[b[1]*c[5]])/31381059609 - 
  (23488102400*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]^2*b[3]*c[1]]*
     f[b[1]*c[5]])/847288609443 + 
  (52428800*f[b[3]*c[1]]*f[a[1]^2*b[3]*c[1]]*f[b[1]*c[5]])/3486784401 - 
  (938475520*f[a[1]^2*b[3]*c[1]]^2*f[b[1]*c[5]])/31381059609 - 
  (68452352*f[a[2]]*f[a[2]*b[3]*c[1]]*f[b[1]*c[5]])/387420489 + 
  (342261760*f[a[1]^2*a[2]]*f[a[2]*b[3]*c[1]]*f[b[1]*c[5]])/
   10460353203 - (1711308800*f[a[1]^4*a[2]]*f[a[2]*b[3]*c[1]]*
     f[b[1]*c[5]])/94143178827 - 
  (1779761152*f[a[2]^3]*f[a[2]*b[3]*c[1]]*f[b[1]*c[5]])/31381059609 - 
  (2190475264*f[a[1]*a[2]*a[3]]*f[a[2]*b[3]*c[1]]*f[b[1]*c[5]])/
   94143178827 + (273809408*f[a[4]]*f[a[2]*b[3]*c[1]]*f[b[1]*c[5]])/
   31381059609 - (1369047040*f[a[1]^2*a[4]]*f[a[2]*b[3]*c[1]]*
     f[b[1]*c[5]])/847288609443 - 
  (752975872*f[a[6]]*f[a[2]*b[3]*c[1]]*f[b[1]*c[5]])/94143178827 - 
  (347635712*f[a[2]*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*f[b[1]*c[5]])/
   3486784401 + (1738178560*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[b[1]*c[5]])/94143178827 + 
  (1390542848*f[a[4]*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*f[b[1]*c[5]])/
   282429536481 + (734003200*f[a[1]*b[2]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[b[1]*c[5]])/31381059609 - 
  (3670016000*f[a[1]^3*b[2]*c[1]]*f[a[2]*b[3]*c[1]]*f[b[1]*c[5]])/
   282429536481 + (3670016000*f[a[3]*b[2]*c[1]]*f[a[2]*b[3]*c[1]]*
     f[b[1]*c[5]])/94143178827 + 
  (1342177280*f[a[2]*b[3]*c[1]]^2*f[b[1]*c[5]])/31381059609 - 
  (873988096*f[b[2]*c[1]]*f[b[4]*c[1]]*f[b[1]*c[5]])/3486784401 + 
  (4369940480*f[a[1]^2*b[2]*c[1]]*f[b[4]*c[1]]*f[b[1]*c[5]])/
   94143178827 + (4491575296*f[b[4]*c[1]]^2*f[b[1]*c[5]])/31381059609 + 
  (781746176*f[a[2]]*f[a[1]*b[4]*c[1]]*f[b[1]*c[5]])/3486784401 - 
  (3908730880*f[a[1]^2*a[2]]*f[a[1]*b[4]*c[1]]*f[b[1]*c[5]])/
   94143178827 + (19543654400*f[a[1]^4*a[2]]*f[a[1]*b[4]*c[1]]*
     f[b[1]*c[5]])/847288609443 + 
  (20325400576*f[a[2]^3]*f[a[1]*b[4]*c[1]]*f[b[1]*c[5]])/282429536481 + 
  (25015877632*f[a[1]*a[2]*a[3]]*f[a[1]*b[4]*c[1]]*f[b[1]*c[5]])/
   847288609443 - (3126984704*f[a[4]]*f[a[1]*b[4]*c[1]]*f[b[1]*c[5]])/
   31381059609 + (15634923520*f[a[1]^2*a[4]]*f[a[1]*b[4]*c[1]]*
     f[b[1]*c[5]])/847288609443 + 
  (19543654400*f[a[6]]*f[a[1]*b[4]*c[1]]*f[b[1]*c[5]])/282429536481 + 
  (1507622912*f[a[2]*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*f[b[1]*c[5]])/
   31381059609 - (7538114560*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[b[1]*c[5]])/847288609443 - 
  (6030491648*f[a[4]*b[1]*c[1]]*f[a[1]*b[4]*c[1]]*f[b[1]*c[5]])/
   282429536481 - (13983809536*f[a[1]*b[2]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[b[1]*c[5]])/94143178827 + 
  (69919047680*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[4]*c[1]]*f[b[1]*c[5]])/
   847288609443 + (13983809536*f[a[3]*b[2]*c[1]]*f[a[1]*b[4]*c[1]]*
     f[b[1]*c[5]])/847288609443 - 
  (10376708096*f[a[2]*b[3]*c[1]]*f[a[1]*b[4]*c[1]]*f[b[1]*c[5]])/
   94143178827 + (71865204736*f[a[1]*b[4]*c[1]]^2*f[b[1]*c[5]])/
   847288609443 + (95047808*f[1]*f[b[5]*c[1]]*f[b[1]*c[5]])/129140163 - 
  (475239040*f[a[1]^2]*f[b[5]*c[1]]*f[b[1]*c[5]])/3486784401 + 
  (2376195200*f[a[1]^4]*f[b[5]*c[1]]*f[b[1]*c[5]])/31381059609 - 
  (59404880000*f[a[1]^6]*f[b[5]*c[1]]*f[b[1]*c[5]])/847288609443 + 
  (2471243008*f[a[2]^2]*f[b[5]*c[1]]*f[b[1]*c[5]])/31381059609 - 
  (12356215040*f[a[1]^2*a[2]^2]*f[b[5]*c[1]]*f[b[1]*c[5]])/
   847288609443 + (3041529856*f[a[1]*a[3]]*f[b[5]*c[1]]*f[b[1]*c[5]])/
   31381059609 - (15207649280*f[a[1]^3*a[3]]*f[b[5]*c[1]]*
     f[b[1]*c[5]])/282429536481 - 
  (84877692544*f[a[3]^2]*f[b[5]*c[1]]*f[b[1]*c[5]])/847288609443 - 
  (194657910784*f[a[2]*a[4]]*f[b[5]*c[1]]*f[b[1]*c[5]])/2541865828329 - 
  (197699440640*f[a[1]*a[5]]*f[b[5]*c[1]]*f[b[1]*c[5]])/2541865828329 + 
  (17618048*f[b[1]*c[1]]*f[b[5]*c[1]]*f[b[1]*c[5]])/1162261467 - 
  (88090240*f[a[1]^2*b[1]*c[1]]*f[b[5]*c[1]]*f[b[1]*c[5]])/
   31381059609 + (440451200*f[a[1]^4*b[1]*c[1]]*f[b[5]*c[1]]*
     f[b[1]*c[5]])/282429536481 + 
  (458069248*f[a[2]^2*b[1]*c[1]]*f[b[5]*c[1]]*f[b[1]*c[5]])/
   282429536481 + (563777536*f[a[1]*a[3]*b[1]*c[1]]*f[b[5]*c[1]]*
     f[b[1]*c[5]])/282429536481 - 
  (3816816640*f[b[3]*c[1]]*f[b[5]*c[1]]*f[b[1]*c[5]])/10460353203 + 
  (19084083200*f[a[1]^2*b[3]*c[1]]*f[b[5]*c[1]]*f[b[1]*c[5]])/
   282429536481 + (297423339520*f[b[5]*c[1]]^2*f[b[1]*c[5]])/
   847288609443 + (1458176*f[b[2]*c[1]]*f[b[1]*c[2]]*f[b[1]*c[5]])/
   14348907 - (7290880*f[a[1]^2*b[2]*c[1]]*f[b[1]*c[2]]*f[b[1]*c[5]])/
   387420489 - (466780160*f[b[4]*c[1]]*f[b[1]*c[2]]*f[b[1]*c[5]])/
   3486784401 + (2908160*f[a[2]]*f[a[1]*b[1]*c[2]]*f[b[1]*c[5]])/
   129140163 - (14540800*f[a[1]^2*a[2]]*f[a[1]*b[1]*c[2]]*
     f[b[1]*c[5]])/3486784401 + 
  (72704000*f[a[1]^4*a[2]]*f[a[1]*b[1]*c[2]]*f[b[1]*c[5]])/
   31381059609 + (75612160*f[a[2]^3]*f[a[1]*b[1]*c[2]]*f[b[1]*c[5]])/
   10460353203 + (93061120*f[a[1]*a[2]*a[3]]*f[a[1]*b[1]*c[2]]*
     f[b[1]*c[5]])/31381059609 - 
  (11632640*f[a[4]]*f[a[1]*b[1]*c[2]]*f[b[1]*c[5]])/1162261467 + 
  (58163200*f[a[1]^2*a[4]]*f[a[1]*b[1]*c[2]]*f[b[1]*c[5]])/
   31381059609 + (72704000*f[a[6]]*f[a[1]*b[1]*c[2]]*f[b[1]*c[5]])/
   10460353203 + (2908160*f[a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[b[1]*c[5]])/129140163 - 
  (14540800*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[2]]*f[b[1]*c[5]])/
   3486784401 - (11632640*f[a[4]*b[1]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[b[1]*c[5]])/1162261467 + 
  (23330816*f[a[1]*b[2]*c[1]]*f[a[1]*b[1]*c[2]]*f[b[1]*c[5]])/
   387420489 - (116654080*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[b[1]*c[5]])/3486784401 - 
  (23330816*f[a[3]*b[2]*c[1]]*f[a[1]*b[1]*c[2]]*f[b[1]*c[5]])/
   3486784401 + (782237696*f[a[2]*b[3]*c[1]]*f[a[1]*b[1]*c[2]]*
     f[b[1]*c[5]])/31381059609 - 
  (7468482560*f[a[1]*b[4]*c[1]]*f[a[1]*b[1]*c[2]]*f[b[1]*c[5]])/
   94143178827 + (93061120*f[a[1]*a[2]]*f[a[1]^2*b[1]*c[2]]*
     f[b[1]*c[5]])/3486784401 - 
  (465305600*f[a[1]^3*a[2]]*f[a[1]^2*b[1]*c[2]]*f[b[1]*c[5]])/
   31381059609 - (93061120*f[a[2]*a[3]]*f[a[1]^2*b[1]*c[2]]*
     f[b[1]*c[5]])/31381059609 - 
  (372244480*f[a[1]*a[4]]*f[a[1]^2*b[1]*c[2]]*f[b[1]*c[5]])/
   31381059609 + (93061120*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]]*
     f[b[1]*c[5]])/3486784401 - 
  (7290880*f[b[2]*c[1]]*f[a[1]^2*b[1]*c[2]]*f[b[1]*c[5]])/387420489 + 
  (261013504*f[a[1]^2*b[2]*c[1]]*f[a[1]^2*b[1]*c[2]]*f[b[1]*c[5]])/
   3486784401 + (2333900800*f[b[4]*c[1]]*f[a[1]^2*b[1]*c[2]]*
     f[b[1]*c[5]])/94143178827 - 
  (14540800*f[a[2]]*f[a[1]^3*b[1]*c[2]]*f[b[1]*c[5]])/1162261467 + 
  (520560640*f[a[1]^2*a[2]]*f[a[1]^3*b[1]*c[2]]*f[b[1]*c[5]])/
   10460353203 - (15253299200*f[a[1]^4*a[2]]*f[a[1]^3*b[1]*c[2]]*
     f[b[1]*c[5]])/282429536481 + 
  (20421099520*f[a[2]^3]*f[a[1]^3*b[1]*c[2]]*f[b[1]*c[5]])/
   847288609443 - (651427840*f[a[1]*a[2]*a[3]]*f[a[1]^3*b[1]*c[2]]*
     f[b[1]*c[5]])/94143178827 + 
  (58163200*f[a[4]]*f[a[1]^3*b[1]*c[2]]*f[b[1]*c[5]])/10460353203 - 
  (2082242560*f[a[1]^2*a[4]]*f[a[1]^3*b[1]*c[2]]*f[b[1]*c[5]])/
   94143178827 - (363520000*f[a[6]]*f[a[1]^3*b[1]*c[2]]*f[b[1]*c[5]])/
   94143178827 - (14540800*f[a[2]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[b[1]*c[5]])/1162261467 + 
  (520560640*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[b[1]*c[5]])/10460353203 + 
  (58163200*f[a[4]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*f[b[1]*c[5]])/
   10460353203 - (116654080*f[a[1]*b[2]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[b[1]*c[5]])/3486784401 + 
  (13695188992*f[a[1]^3*b[2]*c[1]]*f[a[1]^3*b[1]*c[2]]*f[b[1]*c[5]])/
   94143178827 + (116654080*f[a[3]*b[2]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[b[1]*c[5]])/31381059609 - 
  (3911188480*f[a[2]*b[3]*c[1]]*f[a[1]^3*b[1]*c[2]]*f[b[1]*c[5]])/
   282429536481 + (37342412800*f[a[1]*b[4]*c[1]]*f[a[1]^3*b[1]*c[2]]*
     f[b[1]*c[5]])/847288609443 - 
  (2908160*f[a[1]]*f[a[2]*b[1]*c[2]]*f[b[1]*c[5]])/129140163 + 
  (14540800*f[a[1]^3]*f[a[2]*b[1]*c[2]]*f[b[1]*c[5]])/1162261467 - 
  (363520000*f[a[1]^5]*f[a[2]*b[1]*c[2]]*f[b[1]*c[5]])/31381059609 - 
  (75612160*f[a[1]*a[2]^2]*f[a[2]*b[1]*c[2]]*f[b[1]*c[5]])/
   31381059609 - (14540800*f[a[3]]*f[a[2]*b[1]*c[2]]*f[b[1]*c[5]])/
   387420489 + (31989760*f[a[1]^2*a[3]]*f[a[2]*b[1]*c[2]]*
     f[b[1]*c[5]])/31381059609 + 
  (159948800*f[a[5]]*f[a[2]*b[1]*c[2]]*f[b[1]*c[5]])/10460353203 - 
  (2908160*f[a[1]*b[1]*c[1]]*f[a[2]*b[1]*c[2]]*f[b[1]*c[5]])/
   129140163 + (14540800*f[a[1]^3*b[1]*c[1]]*f[a[2]*b[1]*c[2]]*
     f[b[1]*c[5]])/1162261467 - 
  (14540800*f[a[3]*b[1]*c[1]]*f[a[2]*b[1]*c[2]]*f[b[1]*c[5]])/
   387420489 - (373293056*f[a[2]*b[2]*c[1]]*f[a[2]*b[1]*c[2]]*
     f[b[1]*c[5]])/3486784401 - 
  (782237696*f[a[1]*b[3]*c[1]]*f[a[2]*b[1]*c[2]]*f[b[1]*c[5]])/
   31381059609 - (93061120*f[a[1]^2]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[1]*c[5]])/3486784401 + 
  (930611200*f[a[1]^4]*f[a[1]*a[2]*b[1]*c[2]]*f[b[1]*c[5]])/
   31381059609 - (11632640000*f[a[1]^6]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[1]*c[5]])/282429536481 - 
  (1488977920*f[a[2]^2]*f[a[1]*a[2]*b[1]*c[2]]*f[b[1]*c[5]])/
   31381059609 + (186122240*f[a[1]^2*a[2]^2]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[1]*c[5]])/31381059609 - 
  (651427840*f[a[1]*a[3]]*f[a[1]*a[2]*b[1]*c[2]]*f[b[1]*c[5]])/
   31381059609 + (93061120*f[a[1]^3*a[3]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[1]*c[5]])/94143178827 + 
  (465305600*f[a[3]^2]*f[a[1]*a[2]*b[1]*c[2]]*f[b[1]*c[5]])/
   94143178827 + (29779558400*f[a[2]*a[4]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[1]*c[5]])/2541865828329 + 
  (20008140800*f[a[1]*a[5]]*f[a[1]*a[2]*b[1]*c[2]]*f[b[1]*c[5]])/
   2541865828329 - (93061120*f[a[1]^2*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[1]*c[5]])/3486784401 + 
  (930611200*f[a[1]^4*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*f[b[1]*c[5]])/
   31381059609 - (1488977920*f[a[2]^2*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[1]*c[5]])/31381059609 - 
  (651427840*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[1]*c[5]])/31381059609 - 
  (23890755584*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[1]*c[5]])/282429536481 - 
  (25031606272*f[a[1]^2*b[3]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
     f[b[1]*c[5]])/847288609443 + 
  (14540800*f[a[2]]*f[a[3]*b[1]*c[2]]*f[b[1]*c[5]])/387420489 - 
  (72704000*f[a[1]^2*a[2]]*f[a[3]*b[1]*c[2]]*f[b[1]*c[5]])/
   10460353203 + (363520000*f[a[1]^4*a[2]]*f[a[3]*b[1]*c[2]]*
     f[b[1]*c[5]])/94143178827 + 
  (378060800*f[a[2]^3]*f[a[3]*b[1]*c[2]]*f[b[1]*c[5]])/31381059609 + 
  (465305600*f[a[1]*a[2]*a[3]]*f[a[3]*b[1]*c[2]]*f[b[1]*c[5]])/
   94143178827 + (569999360*f[a[4]]*f[a[3]*b[1]*c[2]]*f[b[1]*c[5]])/
   10460353203 - (2849996800*f[a[1]^2*a[4]]*f[a[3]*b[1]*c[2]]*
     f[b[1]*c[5]])/282429536481 - 
  (18475540480*f[a[6]]*f[a[3]*b[1]*c[2]]*f[b[1]*c[5]])/847288609443 + 
  (14540800*f[a[2]*b[1]*c[1]]*f[a[3]*b[1]*c[2]]*f[b[1]*c[5]])/
   387420489 - (72704000*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[b[1]*c[5]])/10460353203 + 
  (569999360*f[a[4]*b[1]*c[1]]*f[a[3]*b[1]*c[2]]*f[b[1]*c[5]])/
   10460353203 - (23330816*f[a[1]*b[2]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[b[1]*c[5]])/3486784401 + 
  (116654080*f[a[1]^3*b[2]*c[1]]*f[a[3]*b[1]*c[2]]*f[b[1]*c[5]])/
   31381059609 + (15001714688*f[a[3]*b[2]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[b[1]*c[5]])/94143178827 + 
  (3911188480*f[a[2]*b[3]*c[1]]*f[a[3]*b[1]*c[2]]*f[b[1]*c[5]])/
   94143178827 + (7468482560*f[a[1]*b[4]*c[1]]*f[a[3]*b[1]*c[2]]*
     f[b[1]*c[5]])/847288609443 - 
  (121952*f[1]*f[b[2]*c[2]]*f[b[1]*c[5]])/1594323 + 
  (609760*f[a[1]^2]*f[b[2]*c[2]]*f[b[1]*c[5]])/43046721 - 
  (3048800*f[a[1]^4]*f[b[2]*c[2]]*f[b[1]*c[5]])/387420489 + 
  (76220000*f[a[1]^6]*f[b[2]*c[2]]*f[b[1]*c[5]])/10460353203 - 
  (3170752*f[a[2]^2]*f[b[2]*c[2]]*f[b[1]*c[5]])/387420489 + 
  (15853760*f[a[1]^2*a[2]^2]*f[b[2]*c[2]]*f[b[1]*c[5]])/10460353203 - 
  (3902464*f[a[1]*a[3]]*f[b[2]*c[2]]*f[b[1]*c[5]])/387420489 + 
  (19512320*f[a[1]^3*a[3]]*f[b[2]*c[2]]*f[b[1]*c[5]])/3486784401 + 
  (108903136*f[a[3]^2]*f[b[2]*c[2]]*f[b[1]*c[5]])/10460353203 + 
  (249757696*f[a[2]*a[4]]*f[b[2]*c[2]]*f[b[1]*c[5]])/31381059609 + 
  (253660160*f[a[1]*a[5]]*f[b[2]*c[2]]*f[b[1]*c[5]])/31381059609 - 
  (3834080*f[b[1]*c[1]]*f[b[2]*c[2]]*f[b[1]*c[5]])/129140163 + 
  (19170400*f[a[1]^2*b[1]*c[1]]*f[b[2]*c[2]]*f[b[1]*c[5]])/3486784401 - 
  (95852000*f[a[1]^4*b[1]*c[1]]*f[b[2]*c[2]]*f[b[1]*c[5]])/
   31381059609 - (99686080*f[a[2]^2*b[1]*c[1]]*f[b[2]*c[2]]*
     f[b[1]*c[5]])/31381059609 - 
  (122690560*f[a[1]*a[3]*b[1]*c[1]]*f[b[2]*c[2]]*f[b[1]*c[5]])/
   31381059609 + (32115328*f[b[3]*c[1]]*f[b[2]*c[2]]*f[b[1]*c[5]])/
   387420489 - (160576640*f[a[1]^2*b[3]*c[1]]*f[b[2]*c[2]]*
     f[b[1]*c[5]])/10460353203 + 
  (11223242368*f[b[5]*c[1]]*f[b[2]*c[2]]*f[b[1]*c[5]])/31381059609 + 
  (11823536*f[b[2]*c[2]]^2*f[b[1]*c[5]])/129140163 - 
  (1951232*f[a[1]]*f[a[1]*b[2]*c[2]]*f[b[1]*c[5]])/43046721 + 
  (9756160*f[a[1]^3]*f[a[1]*b[2]*c[2]]*f[b[1]*c[5]])/387420489 - 
  (243904000*f[a[1]^5]*f[a[1]*b[2]*c[2]]*f[b[1]*c[5]])/10460353203 - 
  (50732032*f[a[1]*a[2]^2]*f[a[1]*b[2]*c[2]]*f[b[1]*c[5]])/
   10460353203 + (1951232*f[a[3]]*f[a[1]*b[2]*c[2]]*f[b[1]*c[5]])/
   387420489 - (44878336*f[a[1]^2*a[3]]*f[a[1]*b[2]*c[2]]*
     f[b[1]*c[5]])/3486784401 - 
  (126830080*f[a[5]]*f[a[1]*b[2]*c[2]]*f[b[1]*c[5]])/31381059609 - 
  (61345280*f[a[1]*b[1]*c[1]]*f[a[1]*b[2]*c[2]]*f[b[1]*c[5]])/
   3486784401 + (306726400*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[2]*c[2]]*
     f[b[1]*c[5]])/31381059609 + 
  (61345280*f[a[3]*b[1]*c[1]]*f[a[1]*b[2]*c[2]]*f[b[1]*c[5]])/
   31381059609 + (1317650432*f[a[2]*b[2]*c[1]]*f[a[1]*b[2]*c[2]]*
     f[b[1]*c[5]])/31381059609 + 
  (513845248*f[a[1]*b[3]*c[1]]*f[a[1]*b[2]*c[2]]*f[b[1]*c[5]])/
   10460353203 - (231055360*f[a[2]*b[1]*c[2]]*f[a[1]*b[2]*c[2]]*
     f[b[1]*c[5]])/10460353203 + 
  (189176576*f[a[1]*b[2]*c[2]]^2*f[b[1]*c[5]])/3486784401 + 
  (609760*f[1]*f[a[1]^2*b[2]*c[2]]*f[b[1]*c[5]])/43046721 - 
  (21829408*f[a[1]^2]*f[a[1]^2*b[2]*c[2]]*f[b[1]*c[5]])/387420489 + 
  (639638240*f[a[1]^4]*f[a[1]^2*b[2]*c[2]]*f[b[1]*c[5]])/10460353203 - 
  (23795884000*f[a[1]^6]*f[a[1]^2*b[2]*c[2]]*f[b[1]*c[5]])/
   282429536481 - (951469504*f[a[2]^2]*f[a[1]^2*b[2]*c[2]]*
     f[b[1]*c[5]])/31381059609 - 
  (112927552*f[a[1]^2*a[2]^2]*f[a[1]^2*b[2]*c[2]]*f[b[1]*c[5]])/
   847288609443 + (27317248*f[a[1]*a[3]]*f[a[1]^2*b[2]*c[2]]*
     f[b[1]*c[5]])/3486784401 - 
  (2407820288*f[a[1]^3*a[3]]*f[a[1]^2*b[2]*c[2]]*f[b[1]*c[5]])/
   94143178827 - (731833952*f[a[3]^2]*f[a[1]^2*b[2]*c[2]]*
     f[b[1]*c[5]])/282429536481 + 
  (10739580928*f[a[2]*a[4]]*f[a[1]^2*b[2]*c[2]]*f[b[1]*c[5]])/
   847288609443 - (1775621120*f[a[1]*a[5]]*f[a[1]^2*b[2]*c[2]]*
     f[b[1]*c[5]])/282429536481 + 
  (19170400*f[b[1]*c[1]]*f[a[1]^2*b[2]*c[2]]*f[b[1]*c[5]])/3486784401 - 
  (686300320*f[a[1]^2*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]]*f[b[1]*c[5]])/
   31381059609 + (20109749600*f[a[1]^4*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]]*
     f[b[1]*c[5]])/847288609443 - 
  (29913492160*f[a[2]^2*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]]*f[b[1]*c[5]])/
   2541865828329 + (858833920*f[a[1]*a[3]*b[1]*c[1]]*
     f[a[1]^2*b[2]*c[2]]*f[b[1]*c[5]])/282429536481 + 
  (42164813824*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]^2*b[2]*c[2]]*
     f[b[1]*c[5]])/847288609443 - 
  (160576640*f[b[3]*c[1]]*f[a[1]^2*b[2]*c[2]]*f[b[1]*c[5]])/
   10460353203 + (5748643712*f[a[1]^2*b[3]*c[1]]*f[a[1]^2*b[2]*c[2]]*
     f[b[1]*c[5]])/94143178827 - 
  (56116211840*f[b[5]*c[1]]*f[a[1]^2*b[2]*c[2]]*f[b[1]*c[5]])/
   847288609443 - (7393771520*f[a[1]*a[2]*b[1]*c[2]]*
     f[a[1]^2*b[2]*c[2]]*f[b[1]*c[5]])/282429536481 - 
  (118235360*f[b[2]*c[2]]*f[a[1]^2*b[2]*c[2]]*f[b[1]*c[5]])/
   3486784401 + (2116412944*f[a[1]^2*b[2]*c[2]]^2*f[b[1]*c[5]])/
   31381059609 + (31219712*f[a[2]]*f[a[2]*b[2]*c[2]]*f[b[1]*c[5]])/
   387420489 - (156098560*f[a[1]^2*a[2]]*f[a[2]*b[2]*c[2]]*
     f[b[1]*c[5]])/10460353203 + 
  (780492800*f[a[1]^4*a[2]]*f[a[2]*b[2]*c[2]]*f[b[1]*c[5]])/
   94143178827 + (811712512*f[a[2]^3]*f[a[2]*b[2]*c[2]]*f[b[1]*c[5]])/
   31381059609 + (999030784*f[a[1]*a[2]*a[3]]*f[a[2]*b[2]*c[2]]*
     f[b[1]*c[5]])/94143178827 - 
  (124878848*f[a[4]]*f[a[2]*b[2]*c[2]]*f[b[1]*c[5]])/31381059609 + 
  (624394240*f[a[1]^2*a[4]]*f[a[2]*b[2]*c[2]]*f[b[1]*c[5]])/
   847288609443 + (343416832*f[a[6]]*f[a[2]*b[2]*c[2]]*f[b[1]*c[5]])/
   94143178827 + (981524480*f[a[2]*b[1]*c[1]]*f[a[2]*b[2]*c[2]]*
     f[b[1]*c[5]])/31381059609 - 
  (4907622400*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[2]*b[2]*c[2]]*f[b[1]*c[5]])/
   847288609443 - (3926097920*f[a[4]*b[1]*c[1]]*f[a[2]*b[2]*c[2]]*
     f[b[1]*c[5]])/2541865828329 - 
  (1317650432*f[a[1]*b[2]*c[1]]*f[a[2]*b[2]*c[2]]*f[b[1]*c[5]])/
   31381059609 + (6588252160*f[a[1]^3*b[2]*c[1]]*f[a[2]*b[2]*c[2]]*
     f[b[1]*c[5]])/282429536481 - 
  (6588252160*f[a[3]*b[2]*c[1]]*f[a[2]*b[2]*c[2]]*f[b[1]*c[5]])/
   94143178827 - (8221523968*f[a[2]*b[3]*c[1]]*f[a[2]*b[2]*c[2]]*
     f[b[1]*c[5]])/94143178827 + 
  (263905312768*f[a[1]*b[4]*c[1]]*f[a[2]*b[2]*c[2]]*f[b[1]*c[5]])/
   2541865828329 + (231055360*f[a[1]*b[1]*c[2]]*f[a[2]*b[2]*c[2]]*
     f[b[1]*c[5]])/10460353203 - 
  (1155276800*f[a[1]^3*b[1]*c[2]]*f[a[2]*b[2]*c[2]]*f[b[1]*c[5]])/
   94143178827 + (1155276800*f[a[3]*b[1]*c[2]]*f[a[2]*b[2]*c[2]]*
     f[b[1]*c[5]])/31381059609 - 
  (3026825216*f[a[2]*b[2]*c[2]]^2*f[b[1]*c[5]])/31381059609 - 
  (7192576*f[b[2]*c[1]]*f[b[3]*c[2]]*f[b[1]*c[5]])/387420489 + 
  (35962880*f[a[1]^2*b[2]*c[1]]*f[b[3]*c[2]]*f[b[1]*c[5]])/
   10460353203 + (2438758400*f[b[4]*c[1]]*f[b[3]*c[2]]*f[b[1]*c[5]])/
   31381059609 + (12615680*f[b[1]*c[2]]*f[b[3]*c[2]]*f[b[1]*c[5]])/
   387420489 - (63078400*f[a[1]^2*b[1]*c[2]]*f[b[3]*c[2]]*
     f[b[1]*c[5]])/10460353203 - 
  (47939584*f[b[3]*c[2]]^2*f[b[1]*c[5]])/1162261467 + 
  (9134080*f[a[2]]*f[a[1]*b[3]*c[2]]*f[b[1]*c[5]])/387420489 - 
  (45670400*f[a[1]^2*a[2]]*f[a[1]*b[3]*c[2]]*f[b[1]*c[5]])/
   10460353203 + (228352000*f[a[1]^4*a[2]]*f[a[1]*b[3]*c[2]]*
     f[b[1]*c[5]])/94143178827 + 
  (237486080*f[a[2]^3]*f[a[1]*b[3]*c[2]]*f[b[1]*c[5]])/31381059609 + 
  (292290560*f[a[1]*a[2]*a[3]]*f[a[1]*b[3]*c[2]]*f[b[1]*c[5]])/
   94143178827 - (36536320*f[a[4]]*f[a[1]*b[3]*c[2]]*f[b[1]*c[5]])/
   3486784401 + (182681600*f[a[1]^2*a[4]]*f[a[1]*b[3]*c[2]]*
     f[b[1]*c[5]])/94143178827 + 
  (228352000*f[a[6]]*f[a[1]*b[3]*c[2]]*f[b[1]*c[5]])/31381059609 + 
  (404316160*f[a[2]*b[1]*c[1]]*f[a[1]*b[3]*c[2]]*f[b[1]*c[5]])/
   31381059609 - (2021580800*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[3]*c[2]]*
     f[b[1]*c[5]])/847288609443 - 
  (1617264640*f[a[4]*b[1]*c[1]]*f[a[1]*b[3]*c[2]]*f[b[1]*c[5]])/
   282429536481 - (115081216*f[a[1]*b[2]*c[1]]*f[a[1]*b[3]*c[2]]*
     f[b[1]*c[5]])/10460353203 + 
  (575406080*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[3]*c[2]]*f[b[1]*c[5]])/
   94143178827 + (115081216*f[a[3]*b[2]*c[1]]*f[a[1]*b[3]*c[2]]*
     f[b[1]*c[5]])/94143178827 - 
  (1147142144*f[a[2]*b[3]*c[1]]*f[a[1]*b[3]*c[2]]*f[b[1]*c[5]])/
   94143178827 + (39020134400*f[a[1]*b[4]*c[1]]*f[a[1]*b[3]*c[2]]*
     f[b[1]*c[5]])/847288609443 + 
  (201850880*f[a[1]*b[1]*c[2]]*f[a[1]*b[3]*c[2]]*f[b[1]*c[5]])/
   10460353203 - (1009254400*f[a[1]^3*b[1]*c[2]]*f[a[1]*b[3]*c[2]]*
     f[b[1]*c[5]])/94143178827 - 
  (201850880*f[a[3]*b[1]*c[2]]*f[a[1]*b[3]*c[2]]*f[b[1]*c[5]])/
   94143178827 - (5278277632*f[a[2]*b[2]*c[2]]*f[a[1]*b[3]*c[2]]*
     f[b[1]*c[5]])/94143178827 - 
  (767033344*f[a[1]*b[3]*c[2]]^2*f[b[1]*c[5]])/31381059609 + 
  (709120*f[1]*f[b[4]*c[2]]*f[b[1]*c[5]])/1594323 - 
  (3545600*f[a[1]^2]*f[b[4]*c[2]]*f[b[1]*c[5]])/43046721 + 
  (17728000*f[a[1]^4]*f[b[4]*c[2]]*f[b[1]*c[5]])/387420489 - 
  (443200000*f[a[1]^6]*f[b[4]*c[2]]*f[b[1]*c[5]])/10460353203 + 
  (18437120*f[a[2]^2]*f[b[4]*c[2]]*f[b[1]*c[5]])/387420489 - 
  (92185600*f[a[1]^2*a[2]^2]*f[b[4]*c[2]]*f[b[1]*c[5]])/10460353203 + 
  (22691840*f[a[1]*a[3]]*f[b[4]*c[2]]*f[b[1]*c[5]])/387420489 - 
  (113459200*f[a[1]^3*a[3]]*f[b[4]*c[2]]*f[b[1]*c[5]])/3486784401 - 
  (633244160*f[a[3]^2]*f[b[4]*c[2]]*f[b[1]*c[5]])/10460353203 - 
  (1452277760*f[a[2]*a[4]]*f[b[4]*c[2]]*f[b[1]*c[5]])/31381059609 - 
  (1474969600*f[a[1]*a[5]]*f[b[4]*c[2]]*f[b[1]*c[5]])/31381059609 + 
  (1049167360*f[b[1]*c[1]]*f[b[4]*c[2]]*f[b[1]*c[5]])/3486784401 - 
  (5245836800*f[a[1]^2*b[1]*c[1]]*f[b[4]*c[2]]*f[b[1]*c[5]])/
   94143178827 + (26229184000*f[a[1]^4*b[1]*c[1]]*f[b[4]*c[2]]*
     f[b[1]*c[5]])/847288609443 + 
  (27278351360*f[a[2]^2*b[1]*c[1]]*f[b[4]*c[2]]*f[b[1]*c[5]])/
   847288609443 + (33573355520*f[a[1]*a[3]*b[1]*c[1]]*f[b[4]*c[2]]*
     f[b[1]*c[5]])/847288609443 - 
  (79495168*f[b[3]*c[1]]*f[b[4]*c[2]]*f[b[1]*c[5]])/3486784401 + 
  (397475840*f[a[1]^2*b[3]*c[1]]*f[b[4]*c[2]]*f[b[1]*c[5]])/
   94143178827 - (11845959680*f[b[5]*c[1]]*f[b[4]*c[2]]*f[b[1]*c[5]])/
   94143178827 - (7860139520*f[b[2]*c[2]]*f[b[4]*c[2]]*f[b[1]*c[5]])/
   31381059609 + (39300697600*f[a[1]^2*b[2]*c[2]]*f[b[4]*c[2]]*
     f[b[1]*c[5]])/847288609443 + 
  (46678016000*f[b[4]*c[2]]^2*f[b[1]*c[5]])/2541865828329 - 
  (389600*f[1]*f[b[1]*b[2]*c[1]*c[2]]*f[b[1]*c[5]])/14348907 + 
  (1948000*f[a[1]^2]*f[b[1]*b[2]*c[1]*c[2]]*f[b[1]*c[5]])/387420489 - 
  (9740000*f[a[1]^4]*f[b[1]*b[2]*c[1]*c[2]]*f[b[1]*c[5]])/3486784401 + 
  (243500000*f[a[1]^6]*f[b[1]*b[2]*c[1]*c[2]]*f[b[1]*c[5]])/
   94143178827 - (10129600*f[a[2]^2]*f[b[1]*b[2]*c[1]*c[2]]*
     f[b[1]*c[5]])/3486784401 + 
  (50648000*f[a[1]^2*a[2]^2]*f[b[1]*b[2]*c[1]*c[2]]*f[b[1]*c[5]])/
   94143178827 - (12467200*f[a[1]*a[3]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[b[1]*c[5]])/3486784401 + 
  (62336000*f[a[1]^3*a[3]]*f[b[1]*b[2]*c[1]*c[2]]*f[b[1]*c[5]])/
   31381059609 + (347912800*f[a[3]^2]*f[b[1]*b[2]*c[1]*c[2]]*
     f[b[1]*c[5]])/94143178827 + 
  (797900800*f[a[2]*a[4]]*f[b[1]*b[2]*c[1]*c[2]]*f[b[1]*c[5]])/
   282429536481 + (810368000*f[a[1]*a[5]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[b[1]*c[5]])/282429536481 + 
  (2537632*f[b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*f[b[1]*c[5]])/
   129140163 - (12688160*f[a[1]^2*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[b[1]*c[5]])/3486784401 + 
  (63440800*f[a[1]^4*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*f[b[1]*c[5]])/
   31381059609 + (65978432*f[a[2]^2*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[b[1]*c[5]])/31381059609 + 
  (81204224*f[a[1]*a[3]*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[b[1]*c[5]])/31381059609 + 
  (1992118912*f[b[3]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*f[b[1]*c[5]])/
   31381059609 - (9960594560*f[a[1]^2*b[3]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[b[1]*c[5]])/847288609443 + 
  (381847084672*f[b[5]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*f[b[1]*c[5]])/
   2541865828329 + (1352937440*f[b[2]*c[2]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[b[1]*c[5]])/10460353203 - 
  (6764687200*f[a[1]^2*b[2]*c[2]]*f[b[1]*b[2]*c[1]*c[2]]*f[b[1]*c[5]])/
   282429536481 - (11901575680*f[b[4]*c[2]]*f[b[1]*b[2]*c[1]*c[2]]*
     f[b[1]*c[5]])/94143178827 + 
  (395231024*f[b[1]*b[2]*c[1]*c[2]]^2*f[b[1]*c[5]])/10460353203 - 
  (45440*f[1]*f[b[1]*c[3]]*f[b[1]*c[5]])/1594323 + 
  (227200*f[a[1]^2]*f[b[1]*c[3]]*f[b[1]*c[5]])/43046721 - 
  (1136000*f[a[1]^4]*f[b[1]*c[3]]*f[b[1]*c[5]])/387420489 + 
  (28400000*f[a[1]^6]*f[b[1]*c[3]]*f[b[1]*c[5]])/10460353203 - 
  (1181440*f[a[2]^2]*f[b[1]*c[3]]*f[b[1]*c[5]])/387420489 + 
  (5907200*f[a[1]^2*a[2]^2]*f[b[1]*c[3]]*f[b[1]*c[5]])/10460353203 - 
  (1454080*f[a[1]*a[3]]*f[b[1]*c[3]]*f[b[1]*c[5]])/387420489 + 
  (7270400*f[a[1]^3*a[3]]*f[b[1]*c[3]]*f[b[1]*c[5]])/3486784401 + 
  (40577920*f[a[3]^2]*f[b[1]*c[3]]*f[b[1]*c[5]])/10460353203 + 
  (93061120*f[a[2]*a[4]]*f[b[1]*c[3]]*f[b[1]*c[5]])/31381059609 + 
  (94515200*f[a[1]*a[5]]*f[b[1]*c[3]]*f[b[1]*c[5]])/31381059609 - 
  (45440*f[b[1]*c[1]]*f[b[1]*c[3]]*f[b[1]*c[5]])/1594323 + 
  (227200*f[a[1]^2*b[1]*c[1]]*f[b[1]*c[3]]*f[b[1]*c[5]])/43046721 - 
  (1136000*f[a[1]^4*b[1]*c[1]]*f[b[1]*c[3]]*f[b[1]*c[5]])/387420489 - 
  (1181440*f[a[2]^2*b[1]*c[1]]*f[b[1]*c[3]]*f[b[1]*c[5]])/387420489 - 
  (1454080*f[a[1]*a[3]*b[1]*c[1]]*f[b[1]*c[3]]*f[b[1]*c[5]])/
   387420489 - (58720256*f[b[3]*c[1]]*f[b[1]*c[3]]*f[b[1]*c[5]])/
   1162261467 + (293601280*f[a[1]^2*b[3]*c[1]]*f[b[1]*c[3]]*
     f[b[1]*c[5]])/31381059609 + 
  (3816816640*f[b[5]*c[1]]*f[b[1]*c[3]]*f[b[1]*c[5]])/31381059609 - 
  (17828480*f[b[2]*c[2]]*f[b[1]*c[3]]*f[b[1]*c[5]])/1162261467 + 
  (89142400*f[a[1]^2*b[2]*c[2]]*f[b[1]*c[3]]*f[b[1]*c[5]])/
   31381059609 + (414515200*f[b[4]*c[2]]*f[b[1]*c[3]]*f[b[1]*c[5]])/
   94143178827 - (17828480*f[b[1]*b[2]*c[1]*c[2]]*f[b[1]*c[3]]*
     f[b[1]*c[5]])/1162261467 - 
  (727040*f[a[1]]*f[a[1]*b[1]*c[3]]*f[b[1]*c[5]])/43046721 + 
  (3635200*f[a[1]^3]*f[a[1]*b[1]*c[3]]*f[b[1]*c[5]])/387420489 - 
  (90880000*f[a[1]^5]*f[a[1]*b[1]*c[3]]*f[b[1]*c[5]])/10460353203 - 
  (18903040*f[a[1]*a[2]^2]*f[a[1]*b[1]*c[3]]*f[b[1]*c[5]])/
   10460353203 + (727040*f[a[3]]*f[a[1]*b[1]*c[3]]*f[b[1]*c[5]])/
   387420489 - (16721920*f[a[1]^2*a[3]]*f[a[1]*b[1]*c[3]]*
     f[b[1]*c[5]])/3486784401 - 
  (47257600*f[a[5]]*f[a[1]*b[1]*c[3]]*f[b[1]*c[5]])/31381059609 - 
  (727040*f[a[1]*b[1]*c[1]]*f[a[1]*b[1]*c[3]]*f[b[1]*c[5]])/43046721 + 
  (3635200*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[1]*c[3]]*f[b[1]*c[5]])/
   387420489 + (727040*f[a[3]*b[1]*c[1]]*f[a[1]*b[1]*c[3]]*
     f[b[1]*c[5]])/387420489 - 
  (92274688*f[a[2]*b[2]*c[1]]*f[a[1]*b[1]*c[3]]*f[b[1]*c[5]])/
   10460353203 - (939524096*f[a[1]*b[3]*c[1]]*f[a[1]*b[1]*c[3]]*
     f[b[1]*c[5]])/31381059609 - 
  (285255680*f[a[1]*b[2]*c[2]]*f[a[1]*b[1]*c[3]]*f[b[1]*c[5]])/
   31381059609 + (227200*f[1]*f[a[1]^2*b[1]*c[3]]*f[b[1]*c[5]])/
   43046721 - (8133760*f[a[1]^2]*f[a[1]^2*b[1]*c[3]]*f[b[1]*c[5]])/
   387420489 + (238332800*f[a[1]^4]*f[a[1]^2*b[1]*c[3]]*f[b[1]*c[5]])/
   10460353203 - (8866480000*f[a[1]^6]*f[a[1]^2*b[1]*c[3]]*
     f[b[1]*c[5]])/282429536481 - 
  (354522880*f[a[2]^2]*f[a[1]^2*b[1]*c[3]]*f[b[1]*c[5]])/31381059609 - 
  (42077440*f[a[1]^2*a[2]^2]*f[a[1]^2*b[1]*c[3]]*f[b[1]*c[5]])/
   847288609443 + (10178560*f[a[1]*a[3]]*f[a[1]^2*b[1]*c[3]]*
     f[b[1]*c[5]])/3486784401 - 
  (897167360*f[a[1]^3*a[3]]*f[a[1]^2*b[1]*c[3]]*f[b[1]*c[5]])/
   94143178827 - (272685440*f[a[3]^2]*f[a[1]^2*b[1]*c[3]]*
     f[b[1]*c[5]])/282429536481 + 
  (4001628160*f[a[2]*a[4]]*f[a[1]^2*b[1]*c[3]]*f[b[1]*c[5]])/
   847288609443 - (661606400*f[a[1]*a[5]]*f[a[1]^2*b[1]*c[3]]*
     f[b[1]*c[5]])/282429536481 + 
  (227200*f[b[1]*c[1]]*f[a[1]^2*b[1]*c[3]]*f[b[1]*c[5]])/43046721 - 
  (8133760*f[a[1]^2*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]]*f[b[1]*c[5]])/
   387420489 + (238332800*f[a[1]^4*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]]*
     f[b[1]*c[5]])/10460353203 - 
  (354522880*f[a[2]^2*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]]*f[b[1]*c[5]])/
   31381059609 + (10178560*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^2*b[1]*c[3]]*
     f[b[1]*c[5]])/3486784401 - 
  (2952790016*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]^2*b[1]*c[3]]*f[b[1]*c[5]])/
   282429536481 + (293601280*f[b[3]*c[1]]*f[a[1]^2*b[1]*c[3]]*
     f[b[1]*c[5]])/31381059609 - 
  (10510925824*f[a[1]^2*b[3]*c[1]]*f[a[1]^2*b[1]*c[3]]*f[b[1]*c[5]])/
   282429536481 - (19084083200*f[b[5]*c[1]]*f[a[1]^2*b[1]*c[3]]*
     f[b[1]*c[5]])/847288609443 + 
  (89142400*f[b[2]*c[2]]*f[a[1]^2*b[1]*c[3]]*f[b[1]*c[5]])/
   31381059609 - (3191297920*f[a[1]^2*b[2]*c[2]]*f[a[1]^2*b[1]*c[3]]*
     f[b[1]*c[5]])/282429536481 - 
  (2072576000*f[b[4]*c[2]]*f[a[1]^2*b[1]*c[3]]*f[b[1]*c[5]])/
   2541865828329 + (89142400*f[b[1]*b[2]*c[1]*c[2]]*f[a[1]^2*b[1]*c[3]]*
     f[b[1]*c[5]])/31381059609 + 
  (11632640*f[a[2]]*f[a[2]*b[1]*c[3]]*f[b[1]*c[5]])/387420489 - 
  (58163200*f[a[1]^2*a[2]]*f[a[2]*b[1]*c[3]]*f[b[1]*c[5]])/
   10460353203 + (290816000*f[a[1]^4*a[2]]*f[a[2]*b[1]*c[3]]*
     f[b[1]*c[5]])/94143178827 + 
  (302448640*f[a[2]^3]*f[a[2]*b[1]*c[3]]*f[b[1]*c[5]])/31381059609 + 
  (372244480*f[a[1]*a[2]*a[3]]*f[a[2]*b[1]*c[3]]*f[b[1]*c[5]])/
   94143178827 - (46530560*f[a[4]]*f[a[2]*b[1]*c[3]]*f[b[1]*c[5]])/
   31381059609 + (232652800*f[a[1]^2*a[4]]*f[a[2]*b[1]*c[3]]*
     f[b[1]*c[5]])/847288609443 + 
  (127959040*f[a[6]]*f[a[2]*b[1]*c[3]]*f[b[1]*c[5]])/94143178827 + 
  (11632640*f[a[2]*b[1]*c[1]]*f[a[2]*b[1]*c[3]]*f[b[1]*c[5]])/
   387420489 - (58163200*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[2]*b[1]*c[3]]*
     f[b[1]*c[5]])/10460353203 - 
  (46530560*f[a[4]*b[1]*c[1]]*f[a[2]*b[1]*c[3]]*f[b[1]*c[5]])/
   31381059609 + (92274688*f[a[1]*b[2]*c[1]]*f[a[2]*b[1]*c[3]]*
     f[b[1]*c[5]])/10460353203 - 
  (461373440*f[a[1]^3*b[2]*c[1]]*f[a[2]*b[1]*c[3]]*f[b[1]*c[5]])/
   94143178827 + (461373440*f[a[3]*b[2]*c[1]]*f[a[2]*b[1]*c[3]]*
     f[b[1]*c[5]])/31381059609 + 
  (15032385536*f[a[2]*b[3]*c[1]]*f[a[2]*b[1]*c[3]]*f[b[1]*c[5]])/
   282429536481 + (54442065920*f[a[1]*b[4]*c[1]]*f[a[2]*b[1]*c[3]]*
     f[b[1]*c[5]])/847288609443 + 
  (4564090880*f[a[2]*b[2]*c[2]]*f[a[2]*b[1]*c[3]]*f[b[1]*c[5]])/
   282429536481 + (28856811520*f[a[1]*b[3]*c[2]]*f[a[2]*b[1]*c[3]]*
     f[b[1]*c[5]])/2541865828329 + 
  (11927552*f[b[2]*c[1]]*f[b[2]*c[3]]*f[b[1]*c[5]])/1162261467 - 
  (59637760*f[a[1]^2*b[2]*c[1]]*f[b[2]*c[3]]*f[b[1]*c[5]])/
   31381059609 + (8180203520*f[b[4]*c[1]]*f[b[2]*c[3]]*f[b[1]*c[5]])/
   94143178827 - (7290880*f[b[1]*c[2]]*f[b[2]*c[3]]*f[b[1]*c[5]])/
   387420489 + (36454400*f[a[1]^2*b[1]*c[2]]*f[b[2]*c[3]]*
     f[b[1]*c[5]])/10460353203 + 
  (3545120768*f[b[3]*c[2]]*f[b[2]*c[3]]*f[b[1]*c[5]])/31381059609 - 
  (54788096*f[b[2]*c[3]]^2*f[b[1]*c[5]])/10460353203 + 
  (3522560*f[a[2]]*f[a[1]*b[2]*c[3]]*f[b[1]*c[5]])/387420489 - 
  (17612800*f[a[1]^2*a[2]]*f[a[1]*b[2]*c[3]]*f[b[1]*c[5]])/
   10460353203 + (88064000*f[a[1]^4*a[2]]*f[a[1]*b[2]*c[3]]*
     f[b[1]*c[5]])/94143178827 + 
  (91586560*f[a[2]^3]*f[a[1]*b[2]*c[3]]*f[b[1]*c[5]])/31381059609 + 
  (112721920*f[a[1]*a[2]*a[3]]*f[a[1]*b[2]*c[3]]*f[b[1]*c[5]])/
   94143178827 - (14090240*f[a[4]]*f[a[1]*b[2]*c[3]]*f[b[1]*c[5]])/
   3486784401 + (70451200*f[a[1]^2*a[4]]*f[a[1]*b[2]*c[3]]*
     f[b[1]*c[5]])/94143178827 + 
  (88064000*f[a[6]]*f[a[1]*b[2]*c[3]]*f[b[1]*c[5]])/31381059609 + 
  (264355840*f[a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[3]]*f[b[1]*c[5]])/
   31381059609 - (1321779200*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[3]]*
     f[b[1]*c[5]])/847288609443 - 
  (1057423360*f[a[4]*b[1]*c[1]]*f[a[1]*b[2]*c[3]]*f[b[1]*c[5]])/
   282429536481 + (190840832*f[a[1]*b[2]*c[1]]*f[a[1]*b[2]*c[3]]*
     f[b[1]*c[5]])/31381059609 - 
  (954204160*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[2]*c[3]]*f[b[1]*c[5]])/
   282429536481 - (190840832*f[a[3]*b[2]*c[1]]*f[a[1]*b[2]*c[3]]*
     f[b[1]*c[5]])/282429536481 + 
  (32342278144*f[a[2]*b[3]*c[1]]*f[a[1]*b[2]*c[3]]*f[b[1]*c[5]])/
   2541865828329 + (130883256320*f[a[1]*b[4]*c[1]]*f[a[1]*b[2]*c[3]]*
     f[b[1]*c[5]])/2541865828329 - 
  (116654080*f[a[1]*b[1]*c[2]]*f[a[1]*b[2]*c[3]]*f[b[1]*c[5]])/
   10460353203 + (583270400*f[a[1]^3*b[1]*c[2]]*f[a[1]*b[2]*c[3]]*
     f[b[1]*c[5]])/94143178827 + 
  (116654080*f[a[3]*b[1]*c[2]]*f[a[1]*b[2]*c[3]]*f[b[1]*c[5]])/
   94143178827 + (6779060224*f[a[2]*b[2]*c[2]]*f[a[1]*b[2]*c[3]]*
     f[b[1]*c[5]])/282429536481 + 
  (56721932288*f[a[1]*b[3]*c[2]]*f[a[1]*b[2]*c[3]]*f[b[1]*c[5]])/
   847288609443 - (461373440*f[a[2]*b[1]*c[3]]*f[a[1]*b[2]*c[3]]*
     f[b[1]*c[5]])/282429536481 - 
  (876609536*f[a[1]*b[2]*c[3]]^2*f[b[1]*c[5]])/282429536481 - 
  (3484448*f[1]*f[b[3]*c[3]]*f[b[1]*c[5]])/129140163 + 
  (17422240*f[a[1]^2]*f[b[3]*c[3]]*f[b[1]*c[5]])/3486784401 - 
  (87111200*f[a[1]^4]*f[b[3]*c[3]]*f[b[1]*c[5]])/31381059609 + 
  (2177780000*f[a[1]^6]*f[b[3]*c[3]]*f[b[1]*c[5]])/847288609443 - 
  (90595648*f[a[2]^2]*f[b[3]*c[3]]*f[b[1]*c[5]])/31381059609 + 
  (452978240*f[a[1]^2*a[2]^2]*f[b[3]*c[3]]*f[b[1]*c[5]])/847288609443 - 
  (111502336*f[a[1]*a[3]]*f[b[3]*c[3]]*f[b[1]*c[5]])/31381059609 + 
  (557511680*f[a[1]^3*a[3]]*f[b[3]*c[3]]*f[b[1]*c[5]])/282429536481 + 
  (3111612064*f[a[3]^2]*f[b[3]*c[3]]*f[b[1]*c[5]])/847288609443 + 
  (7136149504*f[a[2]*a[4]]*f[b[3]*c[3]]*f[b[1]*c[5]])/2541865828329 + 
  (7247651840*f[a[1]*a[5]]*f[b[3]*c[3]]*f[b[1]*c[5]])/2541865828329 - 
  (17107360*f[b[1]*c[1]]*f[b[3]*c[3]]*f[b[1]*c[5]])/1162261467 + 
  (85536800*f[a[1]^2*b[1]*c[1]]*f[b[3]*c[3]]*f[b[1]*c[5]])/
   31381059609 - (427684000*f[a[1]^4*b[1]*c[1]]*f[b[3]*c[3]]*
     f[b[1]*c[5]])/282429536481 - 
  (444791360*f[a[2]^2*b[1]*c[1]]*f[b[3]*c[3]]*f[b[1]*c[5]])/
   282429536481 - (547435520*f[a[1]*a[3]*b[1]*c[1]]*f[b[3]*c[3]]*
     f[b[1]*c[5]])/282429536481 + 
  (151086208*f[b[3]*c[1]]*f[b[3]*c[3]]*f[b[1]*c[5]])/10460353203 - 
  (755431040*f[a[1]^2*b[3]*c[1]]*f[b[3]*c[3]]*f[b[1]*c[5]])/
   282429536481 + (142450844032*f[b[5]*c[1]]*f[b[3]*c[3]]*
     f[b[1]*c[5]])/2541865828329 + 
  (829076576*f[b[2]*c[2]]*f[b[3]*c[3]]*f[b[1]*c[5]])/31381059609 - 
  (4145382880*f[a[1]^2*b[2]*c[2]]*f[b[3]*c[3]]*f[b[1]*c[5]])/
   847288609443 + (14117347840*f[b[4]*c[2]]*f[b[3]*c[3]]*f[b[1]*c[5]])/
   94143178827 + (5801152480*f[b[1]*b[2]*c[1]*c[2]]*f[b[3]*c[3]]*
     f[b[1]*c[5]])/282429536481 - 
  (443507840*f[b[1]*c[3]]*f[b[3]*c[3]]*f[b[1]*c[5]])/31381059609 + 
  (2217539200*f[a[1]^2*b[1]*c[3]]*f[b[3]*c[3]]*f[b[1]*c[5]])/
   847288609443 + (24736649776*f[b[3]*c[3]]^2*f[b[1]*c[5]])/
   847288609443 - (6668288*f[b[2]*c[1]]*f[b[1]*c[4]]*f[b[1]*c[5]])/
   1162261467 + (33341440*f[a[1]^2*b[2]*c[1]]*f[b[1]*c[4]]*
     f[b[1]*c[5]])/31381059609 + 
  (3572727808*f[b[4]*c[1]]*f[b[1]*c[4]]*f[b[1]*c[5]])/31381059609 + 
  (106332160*f[b[3]*c[2]]*f[b[1]*c[4]]*f[b[1]*c[5]])/10460353203 + 
  (33341440*f[b[2]*c[3]]*f[b[1]*c[4]]*f[b[1]*c[5]])/31381059609 - 
  (7561216*f[a[2]]*f[a[1]*b[1]*c[4]]*f[b[1]*c[5]])/1162261467 + 
  (37806080*f[a[1]^2*a[2]]*f[a[1]*b[1]*c[4]]*f[b[1]*c[5]])/
   31381059609 - (189030400*f[a[1]^4*a[2]]*f[a[1]*b[1]*c[4]]*
     f[b[1]*c[5]])/282429536481 - 
  (196591616*f[a[2]^3]*f[a[1]*b[1]*c[4]]*f[b[1]*c[5]])/94143178827 - 
  (241958912*f[a[1]*a[2]*a[3]]*f[a[1]*b[1]*c[4]]*f[b[1]*c[5]])/
   282429536481 + (30244864*f[a[4]]*f[a[1]*b[1]*c[4]]*f[b[1]*c[5]])/
   10460353203 - (151224320*f[a[1]^2*a[4]]*f[a[1]*b[1]*c[4]]*
     f[b[1]*c[5]])/282429536481 - 
  (189030400*f[a[6]]*f[a[1]*b[1]*c[4]]*f[b[1]*c[5]])/94143178827 - 
  (7561216*f[a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[4]]*f[b[1]*c[5]])/
   1162261467 + (37806080*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[4]]*
     f[b[1]*c[5]])/31381059609 + 
  (30244864*f[a[4]*b[1]*c[1]]*f[a[1]*b[1]*c[4]]*f[b[1]*c[5]])/
   10460353203 - (106692608*f[a[1]*b[2]*c[1]]*f[a[1]*b[1]*c[4]]*
     f[b[1]*c[5]])/31381059609 + 
  (533463040*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[1]*c[4]]*f[b[1]*c[5]])/
   282429536481 + (106692608*f[a[3]*b[2]*c[1]]*f[a[1]*b[1]*c[4]]*
     f[b[1]*c[5]])/282429536481 + 
  (5827985408*f[a[2]*b[3]*c[1]]*f[a[1]*b[1]*c[4]]*f[b[1]*c[5]])/
   282429536481 + (57163644928*f[a[1]*b[4]*c[1]]*f[a[1]*b[1]*c[4]]*
     f[b[1]*c[5]])/847288609443 - 
  (7435116544*f[a[2]*b[2]*c[2]]*f[a[1]*b[1]*c[4]]*f[b[1]*c[5]])/
   2541865828329 + (1701314560*f[a[1]*b[3]*c[2]]*f[a[1]*b[1]*c[4]]*
     f[b[1]*c[5]])/282429536481 + 
  (533463040*f[a[1]*b[2]*c[3]]*f[a[1]*b[1]*c[4]]*f[b[1]*c[5]])/
   847288609443 - (2046208*f[1]*f[b[2]*c[4]]*f[b[1]*c[5]])/129140163 + 
  (10231040*f[a[1]^2]*f[b[2]*c[4]]*f[b[1]*c[5]])/3486784401 - 
  (51155200*f[a[1]^4]*f[b[2]*c[4]]*f[b[1]*c[5]])/31381059609 + 
  (1278880000*f[a[1]^6]*f[b[2]*c[4]]*f[b[1]*c[5]])/847288609443 - 
  (53201408*f[a[2]^2]*f[b[2]*c[4]]*f[b[1]*c[5]])/31381059609 + 
  (266007040*f[a[1]^2*a[2]^2]*f[b[2]*c[4]]*f[b[1]*c[5]])/847288609443 - 
  (65478656*f[a[1]*a[3]]*f[b[2]*c[4]]*f[b[1]*c[5]])/31381059609 + 
  (327393280*f[a[1]^3*a[3]]*f[b[2]*c[4]]*f[b[1]*c[5]])/282429536481 + 
  (1827263744*f[a[3]^2]*f[b[2]*c[4]]*f[b[1]*c[5]])/847288609443 + 
  (4190633984*f[a[2]*a[4]]*f[b[2]*c[4]]*f[b[1]*c[5]])/2541865828329 + 
  (4256112640*f[a[1]*a[5]]*f[b[2]*c[4]]*f[b[1]*c[5]])/2541865828329 - 
  (1977088*f[b[1]*c[1]]*f[b[2]*c[4]]*f[b[1]*c[5]])/387420489 + 
  (9885440*f[a[1]^2*b[1]*c[1]]*f[b[2]*c[4]]*f[b[1]*c[5]])/10460353203 - 
  (49427200*f[a[1]^4*b[1]*c[1]]*f[b[2]*c[4]]*f[b[1]*c[5]])/
   94143178827 - (51404288*f[a[2]^2*b[1]*c[1]]*f[b[2]*c[4]]*
     f[b[1]*c[5]])/94143178827 - 
  (63266816*f[a[1]*a[3]*b[1]*c[1]]*f[b[2]*c[4]]*f[b[1]*c[5]])/
   94143178827 - (461209600*f[b[3]*c[1]]*f[b[2]*c[4]]*f[b[1]*c[5]])/
   31381059609 + (2306048000*f[a[1]^2*b[3]*c[1]]*f[b[2]*c[4]]*
     f[b[1]*c[5]])/847288609443 + 
  (5922979840*f[b[5]*c[1]]*f[b[2]*c[4]]*f[b[1]*c[5]])/94143178827 + 
  (48431872*f[b[2]*c[2]]*f[b[2]*c[4]]*f[b[1]*c[5]])/3486784401 - 
  (242159360*f[a[1]^2*b[2]*c[2]]*f[b[2]*c[4]]*f[b[1]*c[5]])/
   94143178827 - (19670106112*f[b[4]*c[2]]*f[b[2]*c[4]]*f[b[1]*c[5]])/
   94143178827 + (34190134016*f[b[1]*b[2]*c[1]*c[2]]*f[b[2]*c[4]]*
     f[b[1]*c[5]])/2541865828329 - 
  (122912768*f[b[1]*c[3]]*f[b[2]*c[4]]*f[b[1]*c[5]])/31381059609 + 
  (614563840*f[a[1]^2*b[1]*c[3]]*f[b[2]*c[4]]*f[b[1]*c[5]])/
   847288609443 - (43297213184*f[b[3]*c[3]]*f[b[2]*c[4]]*f[b[1]*c[5]])/
   2541865828329 + (333414400*f[b[2]*c[4]]^2*f[b[1]*c[5]])/847288609443 + 
  (322624*f[1]*f[b[1]*c[5]]^2)/43046721 - 
  (1613120*f[a[1]^2]*f[b[1]*c[5]]^2)/1162261467 + 
  (8065600*f[a[1]^4]*f[b[1]*c[5]]^2)/10460353203 - 
  (201640000*f[a[1]^6]*f[b[1]*c[5]]^2)/282429536481 + 
  (8388224*f[a[2]^2]*f[b[1]*c[5]]^2)/10460353203 - 
  (41941120*f[a[1]^2*a[2]^2]*f[b[1]*c[5]]^2)/282429536481 + 
  (10323968*f[a[1]*a[3]]*f[b[1]*c[5]]^2)/10460353203 - 
  (51619840*f[a[1]^3*a[3]]*f[b[1]*c[5]]^2)/94143178827 - 
  (288103232*f[a[3]^2]*f[b[1]*c[5]]^2)/282429536481 - 
  (660733952*f[a[2]*a[4]]*f[b[1]*c[5]]^2)/847288609443 - 
  (671057920*f[a[1]*a[5]]*f[b[1]*c[5]]^2)/847288609443 + 
  (322624*f[b[1]*c[1]]*f[b[1]*c[5]]^2)/43046721 - 
  (1613120*f[a[1]^2*b[1]*c[1]]*f[b[1]*c[5]]^2)/1162261467 + 
  (8065600*f[a[1]^4*b[1]*c[1]]*f[b[1]*c[5]]^2)/10460353203 + 
  (8388224*f[a[2]^2*b[1]*c[1]]*f[b[1]*c[5]]^2)/10460353203 + 
  (10323968*f[a[1]*a[3]*b[1]*c[1]]*f[b[1]*c[5]]^2)/10460353203 - 
  (74448896*f[b[3]*c[1]]*f[b[1]*c[5]]^2)/10460353203 + 
  (372244480*f[a[1]^2*b[3]*c[1]]*f[b[1]*c[5]]^2)/282429536481 - 
  (59484667904*f[b[5]*c[1]]*f[b[1]*c[5]]^2)/847288609443 + 
  (25132864*f[b[2]*c[2]]*f[b[1]*c[5]]^2)/10460353203 - 
  (125664320*f[a[1]^2*b[2]*c[2]]*f[b[1]*c[5]]^2)/282429536481 - 
  (33141391360*f[b[4]*c[2]]*f[b[1]*c[5]]^2)/2541865828329 + 
  (25132864*f[b[1]*b[2]*c[1]*c[2]]*f[b[1]*c[5]]^2)/10460353203 - 
  (52396864*f[b[3]*c[3]]*f[b[1]*c[5]]^2)/847288609443 + 
  (473448448*f[b[2]*c[4]]*f[b[1]*c[5]]^2)/847288609443