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)
[preprint IUHET 319 (October 1995), 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]].


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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]])/
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  (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 + 
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  (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 + 
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  (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]])/
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  (120807424*f[a[1]^2]*f[a[4]]*f[a[1]^2*a[4]])/14348907 + 
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  (70953574400*f[a[1]^6]*f[a[4]]*f[a[1]^2*a[4]])/10460353203 - 
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  (4123787264*f[a[1]^3]*f[a[1]*a[4]]*f[a[1]^2*a[4]])/387420489 + 
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  (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]])/
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  (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 + 
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  (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 + 
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  (3801088*f[a[1]]*f[a[1]^3]*f[a[2]*a[4]])/1594323 + 
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  (320417792*f[a[1]^2]*f[a[1]^4]*f[a[2]*a[4]])/43046721 + 
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  (33312604160*f[a[1]^3]*f[a[1]^5]*f[a[2]*a[4]])/1162261467 + 
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  (71168000*f[1]*f[a[1]^6]*f[a[2]*a[4]])/43046721 + 
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  (458258698240*f[a[1]^4]*f[a[1]^6]*f[a[2]*a[4]])/3486784401 + 
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  (369098752*f[a[1]*a[2]]*f[a[1]^3*a[2]]*f[a[2]*a[4]])/1162261467 - 
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  (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]])/
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  (367108096*f[a[1]^2]*f[a[2]^2]*f[a[2]*a[4]])/129140163 + 
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  (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 - 
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  (8192*f[1]*f[a[1]^2*a[2]^2]*f[a[2]*a[4]])/531441 + 
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  (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]])/
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     f[a[2]*a[4]])/10460353203 - 
  (2079627960320*f[a[1]^2*a[2]^2]^2*f[a[2]*a[4]])/847288609443 + 
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  (22067937280*f[a[1]^2*a[2]^2]*f[a[1]*a[3]]*f[a[2]*a[4]])/
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  (164115513344*f[a[1]*a[2]^2]*f[a[1]^2*a[3]]*f[a[2]*a[4]])/
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  (22347776*f[1]*f[a[1]^3*a[3]]*f[a[2]*a[4]])/14348907 + 
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     f[a[2]*a[4]])/10460353203 + 
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     f[a[2]*a[4]])/847288609443 + 
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  (184156160*f[a[1]]*f[a[2]*a[4]]*f[a[5]])/43046721 + 
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  (1687552000*f[a[3]]*f[a[2]*a[4]]*f[a[5]])/387420489 - 
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  (4088720*f[1]*f[a[5]]^2)/531441 - 
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  (898330000*f[a[1]^4]*f[a[5]]^2)/1162261467 - 
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  (5701222400*f[a[1]^3*a[3]]*f[a[5]]^2)/10460353203 - 
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  (2080*f[1]^2*f[a[1]*a[5]])/6561 + 
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  (27560000*f[1]*f[a[1]^6]*f[a[1]*a[5]])/43046721 - 
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  (17039360*f[a[1]*a[2]]^2*f[a[1]*a[5]])/129140163 - 
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  (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 - 
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  (192049280*f[a[2]^2]^2*f[a[1]*a[5]])/43046721 - 
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  (598343680*f[a[1]*a[2]^2]*f[a[3]]*f[a[1]*a[5]])/387420489 - 
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  (57342576640*f[a[1]^2*a[2]^2]*f[a[1]*a[3]]*f[a[1]*a[5]])/
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  (4014080*f[a[1]]*f[a[1]^2*a[3]]*f[a[1]*a[5]])/14348907 - 
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   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 + 
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  (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 + 
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   31381059609 + (131775856640*f[a[1]^4*a[2]]*f[a[1]*a[2]*a[3]]*
     f[a[1]*a[5]])/282429536481 + 
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  (5880640*f[1]*f[a[3]^2]*f[a[1]*a[5]])/43046721 - 
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  (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 - 
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  (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 + 
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  (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 - 
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  (75889664*f[a[1]^2]*f[a[2]^3]*f[a[6]])/129140163 - 
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  (15810560*f[a[1]^3*a[2]]*f[a[3]]*f[a[6]])/43046721 + 
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  (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 - 
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  (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 + 
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  (321083392000*f[a[1]^6]*f[a[1]*a[2]*a[3]]*f[a[6]])/94143178827 - 
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  (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 + 
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  (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 + 
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  (44595200*f[a[1]^4]*f[a[4]]*f[a[6]])/129140163 + 
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  (2682880*f[a[2]^2]*f[a[4]]*f[a[6]])/387420489 + 
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  (458752*f[a[1]]*f[a[1]*a[4]]*f[a[6]])/14348907 + 
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  (3874816000*f[a[1]^5]*f[a[1]*a[4]]*f[a[6]])/3486784401 - 
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  (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 + 
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  (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 - 
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  (180224*f[a[1]*a[2]]^2*f[b[1]*c[1]])/177147 + 
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  (7420160*f[a[1]^2*a[2]]^2*f[b[1]*c[1]])/4782969 + 
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  (483076*f[a[2]^2]^2*f[b[1]*c[1]])/177147 + 
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  (2746304*f[a[1]^3]*f[a[1]*a[2]^2]*f[b[1]*c[1]])/1594323 - 
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  (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 - 
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  (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 - 
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  (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 - 
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  (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 - 
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  (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]])/
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     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 - 
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  (25830994*f[a[1]^4]*f[b[1]*c[1]]*f[a[1]^4*b[1]*c[1]])/14348907 - 
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  (679763*f[b[1]*c[1]]*f[a[1]^4*b[1]*c[1]]^2)/4782969 + 
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  (675290344960*f[a[1]^6]*f[a[1]^4*a[2]]*f[a[2]*b[1]*c[1]])/
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  (5080064*f[a[1]^2*a[2]]*f[a[2]^2]*f[a[2]*b[1]*c[1]])/43046721 - 
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  (946896896*f[a[1]^3*a[2]]*f[a[1]*a[2]^2]*f[a[2]*b[1]*c[1]])/
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     f[a[2]*b[1]*c[1]])/3486784401 + 
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  (360448*f[a[2]]*f[a[1]*a[3]]*f[a[2]*b[1]*c[1]])/177147 + 
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     f[a[2]*b[1]*c[1]])/129140163 + 
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   14348907 + (82446848*f[a[1]^2*a[2]]*f[a[3]^2]*f[a[2]*b[1]*c[1]])/
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  (267688960*f[a[1]^2*a[2]^2]*f[a[6]]*f[a[2]*b[1]*c[1]])/3486784401 + 
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  (2550169600*f[a[1]^3*a[3]]*f[a[6]]*f[a[2]*b[1]*c[1]])/10460353203 + 
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  (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 - 
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  (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 + 
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  (194560*f[a[1]^2*a[4]]*f[b[1]*c[1]]*f[a[2]*b[1]*c[1]])/43046721 - 
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  (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]])/
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  (1245184*f[a[1]*a[4]]*f[a[1]*b[1]*c[1]]*f[a[2]*b[1]*c[1]])/43046721 - 
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  (4153856*f[a[1]^2*a[2]]*f[a[1]^2*b[1]*c[1]]*f[a[2]*b[1]*c[1]])/
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  (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 + 
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   10460353203 + (25049600*f[a[6]]*f[a[1]^4*b[1]*c[1]]*
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  (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 + 
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  (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 + 
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  (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]])/
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     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]])/
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  (11839815680*f[a[1]^5]*f[a[1]*a[2]]*f[a[1]^2*a[2]*b[1]*c[1]])/
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  (120947200*f[a[1]^2]*f[a[1]^2*a[2]]*f[a[1]^2*a[2]*b[1]*c[1]])/
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  (917340160*f[a[1]^3*a[2]]*f[a[1]*a[2]^2]*f[a[1]^2*a[2]*b[1]*c[1]])/
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     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]]*
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  (196445658112*f[a[1]^2*a[2]^2]*f[a[6]]*f[a[1]^2*a[2]*b[1]*c[1]])/
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     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]])/
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  (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]])/
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  (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 + 
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  (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 + 
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  (8024192*f[1]*f[a[1]^3*a[3]]*f[a[2]^2*b[1]*c[1]])/14348907 + 
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  (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]*
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  (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]]*
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  (915267584*f[a[4]]^2*f[a[2]^2*b[1]*c[1]])/3486784401 + 
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  (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]]*
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  (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]])/
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     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]])/
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   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]])/
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     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]])/
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     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]])/
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     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]])/
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     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]])/
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     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]])/
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     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]])/
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  (243688800256*f[a[2]^3]*f[a[1]^2*a[4]]*f[a[1]*a[3]*b[1]*c[1]])/
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   94143178827 + (35323904*f[1]*f[a[2]*a[4]]*f[a[1]*a[3]*b[1]*c[1]])/
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  (15682371584*f[a[2]^2]*f[a[2]*a[4]]*f[a[1]*a[3]*b[1]*c[1]])/
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  (51050971136*f[a[1]*a[3]]*f[a[2]*a[4]]*f[a[1]*a[3]*b[1]*c[1]])/
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  (52000391168*f[a[3]^2]*f[a[2]*a[4]]*f[a[1]*a[3]*b[1]*c[1]])/
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   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]])/
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  (682147840*f[a[1]^2*a[3]]*f[a[5]]*f[a[1]*a[3]*b[1]*c[1]])/
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   10460353203 - (5800960*f[1]*f[a[1]*a[5]]*f[a[1]*a[3]*b[1]*c[1]])/
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  (736928727040*f[a[2]*a[4]]*f[a[1]*a[5]]*f[a[1]*a[3]*b[1]*c[1]])/
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   282429536481 + (250511360*f[a[2]]*f[a[6]]*f[a[1]*a[3]*b[1]*c[1]])/
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  (87424860160*f[a[1]^4*a[2]]*f[a[6]]*f[a[1]*a[3]*b[1]*c[1]])/
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  (9587916800*f[a[1]*a[2]*a[3]]*f[a[6]]*f[a[1]*a[3]*b[1]*c[1]])/
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   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]]*
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  (1510277120*f[a[1]^3*a[2]]*f[a[1]^2*a[3]]*f[a[4]*b[1]*c[1]])/
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  (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 + 
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  (1768448000*f[a[1]^6]*f[a[4]]*f[a[4]*b[1]*c[1]])/10460353203 - 
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  (28276424704*f[a[1]*a[2]^2]*f[a[1]*a[4]]*f[a[4]*b[1]*c[1]])/
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  (183516872704*f[a[2]^2]*f[a[1]^2*a[4]]*f[a[4]*b[1]*c[1]])/
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  (1216872448*f[a[1]*a[3]]*f[a[1]^2*a[4]]*f[a[4]*b[1]*c[1]])/
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  (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]])/
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  (18350080*f[a[1]*a[3]]*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]])/
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  (81182720*f[a[3]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]])/
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  (11852800*f[a[1]^2*a[2]^2]*f[b[2]*c[1]]*f[a[1]^2*b[2]*c[1]])/
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  (186368000*f[a[1]*a[5]]*f[b[2]*c[1]]*f[a[1]^2*b[2]*c[1]])/
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  (67136000*f[a[1]^4*b[1]*c[1]]*f[b[2]*c[1]]*f[a[1]^2*b[2]*c[1]])/
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  (2867200*f[a[1]*a[3]*b[1]*c[1]]*f[b[2]*c[1]]*f[a[1]^2*b[2]*c[1]])/
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  (1246412800*f[a[1]*a[2]^2]*f[a[1]*b[2]*c[1]]*f[a[1]^2*b[2]*c[1]])/
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  (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]])/
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  (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 - 
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  (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 + 
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  (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 - 
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  (58654720*f[a[1]^2*a[4]]*f[b[1]*c[1]]*f[a[1]^3*b[2]*c[1]])/
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  (109164544000*f[a[6]]*f[a[1]^4*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]])/
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  (7775191040*f[a[1]*a[3]]*f[a[1]^2*a[2]*b[1]*c[1]]*
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  (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]])/
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     f[a[1]^3*b[2]*c[1]])/847288609443 + 
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  (9994240*f[a[2]]*f[a[2]^2*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]])/
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  (367393669120*f[a[1]^4*a[2]]*f[a[2]^2*b[1]*c[1]]*
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  (565836185600*f[a[2]^3]*f[a[2]^2*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]])/
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  (6830817280*f[a[4]]*f[a[2]^2*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]])/
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  (4557209600*f[a[6]]*f[a[2]^2*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]])/
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  (482344960*f[a[1]^3*a[2]]*f[a[3]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]])/
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  (1426063360*f[a[1]*a[4]]*f[a[3]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]])/
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  (571903836160*f[a[2]^3]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]])/
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  (1530920960*f[a[4]]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]])/
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     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]])/
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  (17466327040*f[a[1]^4]*f[a[4]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]])/
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  (6830817280*f[a[2]^2]*f[a[4]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]])/
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  (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]]*
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  (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]]*
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  (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]]*
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   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]])/
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  (4471398400*f[a[1]^4]*f[a[1]*b[2]*c[1]]*f[a[1]^3*b[2]*c[1]])/
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     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]])/
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     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]])/
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     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]])/
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     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]])/
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     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]])/
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     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]])/
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  (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 - 
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  (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 + 
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  (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]])/
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     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]])/
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     f[a[2]*b[2]*c[1]])/14348907 + 
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  (335544320*f[a[2]*a[4]]*f[a[1]*b[1]*c[1]]*f[a[2]*b[2]*c[1]])/
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     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 + 
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  (825344000*f[a[1]^5]*f[a[1]^2*b[1]*c[1]]*f[a[2]*b[2]*c[1]])/
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  (4366581760*f[a[1]^4]*f[a[1]^3*b[1]*c[1]]*f[a[2]*b[2]*c[1]])/
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  (9994240*f[a[2]^2]*f[a[1]^3*b[1]*c[1]]*f[a[2]*b[2]*c[1]])/
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  (671088640*f[a[4]]*f[a[1]*a[2]*b[1]*c[1]]*f[a[2]*b[2]*c[1]])/
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  (9994240*f[a[1]^3]*f[a[2]^2*b[1]*c[1]]*f[a[2]*b[2]*c[1]])/
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  (9581527040*f[a[1]^2*a[3]]*f[a[2]^2*b[1]*c[1]]*f[a[2]*b[2]*c[1]])/
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  (183500800*f[a[5]]*f[a[1]*a[3]*b[1]*c[1]]*f[a[2]*b[2]*c[1]])/
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  (3355443200*f[a[1]^3*a[2]]*f[a[4]*b[1]*c[1]]*f[a[2]*b[2]*c[1]])/
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  (29527900160*f[a[1]*a[4]]*f[a[4]*b[1]*c[1]]*f[a[2]*b[2]*c[1]])/
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   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]])/
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  (3276800*f[a[2]*b[1]*c[1]]*f[b[2]*c[1]]*f[a[2]*b[2]*c[1]])/1594323 + 
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  (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]]*
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  (1399193600*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*
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  (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]]*
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  (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]]*
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  (10333388800*f[a[3]^2]*f[a[2]*b[2]*c[1]]^2)/10460353203 + 
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  (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 + 
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  (26214400*f[a[1]^4]*f[b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]])/43046721 + 
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  (2621440*f[a[1]^3*a[3]]*f[b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]])/
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  (838860800*f[a[2]*a[4]]*f[b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]])/
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  (41943040*f[a[1]^3]*f[a[1]*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]])/
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  (671088640*f[a[1]*a[2]^2]*f[a[1]*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]])/
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  (146800640*f[a[1]^2*a[3]]*f[a[1]*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]])/
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  (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]])/
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  (3517972480*f[a[2]^2]*f[a[1]^2*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]])/
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  (1095761920*f[a[3]^2]*f[a[1]^2*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]])/
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  (563609600*f[a[1]*a[5]]*f[a[1]^2*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]])/
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  (230477004800*f[a[1]^5]*f[a[1]^3*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]])/
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  (104857600*f[a[5]]*f[a[1]^3*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]])/
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   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)/
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  (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 + 
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  (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 + 
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  (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 - 
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  (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 + 
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  (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 - 
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  (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]])/
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  (166400*f[a[1]^2]*f[a[5]]*f[a[1]*b[3]*c[1]])/1594323 + 
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  (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 - 
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  (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 + 
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  (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]])/
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  (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 + 
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  (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 + 
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  (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]])/
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  (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]])/
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     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]])/
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     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]])/
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     f[a[1]*b[3]*c[1]])/129140163 + 
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  (32768000*f[a[1]^3*a[2]]*f[a[2]*b[1]*c[1]]*f[a[1]*b[3]*c[1]])/
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     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]])/
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     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]])/
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     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]])/
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     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]])/
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     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 + 
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  (3181849600*f[a[1]^2*a[3]]*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[3]*c[1]])/
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     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]])/
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     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]])/
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  (664811080000*f[a[1]^6]*f[a[2]^2*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/
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  (222214115200*f[a[1]^2*a[2]^2]*f[a[2]^2*b[1]*c[1]]*
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  (3259750400*f[a[1]*a[3]]*f[a[2]^2*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/
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     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]]*
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  (95491840000*f[a[1]*a[5]]*f[a[2]^2*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/
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     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]]*
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  (2213884480*f[a[1]^4*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]]*
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  (547069760*f[a[2]^2*b[1]*c[1]]^2*f[a[1]^2*b[3]*c[1]])/3486784401 + 
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     f[a[1]^2*b[3]*c[1]])/3486784401 + 
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  (1462182400*f[a[1]^2*a[3]]*f[a[3]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/
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     f[a[1]^2*b[3]*c[1]])/43046721 + 
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  (2790400*f[a[1]^2]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/
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  (9215360000*f[a[1]^6]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/
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  (10513356800*f[a[1]^2*a[2]^2]*f[a[1]*a[3]*b[1]*c[1]]*
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  (391168000*f[a[1]*a[3]]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/
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     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]])/
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     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]])/
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  (651950080*f[a[2]^2*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]]*
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  (39116800*f[a[1]*a[3]*b[1]*c[1]]^2*f[a[1]^2*b[3]*c[1]])/387420489 - 
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  (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]]*
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  (1143603200*f[a[4]]*f[a[4]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/
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  (1601536000*f[a[6]]*f[a[4]*b[1]*c[1]]*f[a[1]^2*b[3]*c[1]])/
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     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]]*
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  (114360320*f[a[4]*b[1]*c[1]]^2*f[a[1]^2*b[3]*c[1]])/3486784401 + 
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  (65536000*f[a[1]^3*a[2]]*f[b[2]*c[1]]*f[a[1]^2*b[3]*c[1]])/
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     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]])/
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   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]])/
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     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]]*
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  (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]])/
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     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]])/
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     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]])/
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     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]])/
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  (2818048000*f[a[1]*a[5]]*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]^2*b[3]*c[1]])/
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     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]]*
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  (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]])/
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     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]])/
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     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]])/
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  (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 + 
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  (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]]*
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  (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]])/
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   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]])/
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     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 - 
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  (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 + 
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  (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 + 
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  (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 + 
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  (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]])/
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   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]])/
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  (36945920*f[a[1]^2*a[2]]*f[a[2]^2]*f[a[2]*b[3]*c[1]])/387420489 + 
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  (6886522880*f[a[1]^3*a[2]]*f[a[1]*a[2]^2]*f[a[2]*b[3]*c[1]])/
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  (84220559360*f[a[1]^2*a[2]]*f[a[1]^2*a[2]^2]*f[a[2]*b[3]*c[1]])/
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     f[a[2]*b[3]*c[1]])/282429536481 + 
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  (127035392000*f[a[1]^6]*f[a[2]^3]*f[a[2]*b[3]*c[1]])/94143178827 + 
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  (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]])/
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  (9123921920*f[a[1]^3*a[2]]*f[a[1]^2*a[3]]*f[a[2]*b[3]*c[1]])/
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   129140163 + (4076339200*f[a[1]^2*a[2]]*f[a[1]^3*a[3]]*
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  (227763814400*f[a[1]^4*a[2]]*f[a[1]^3*a[3]]*f[a[2]*b[3]*c[1]])/
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  (1310720*f[a[1]]*f[a[2]*a[3]]*f[a[2]*b[3]*c[1]])/1594323 + 
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  (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 + 
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  (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]])/
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     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 + 
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  (67922821120*f[a[1]*a[2]*a[3]]*f[a[3]^2]*f[a[2]*b[3]*c[1]])/
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  (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 + 
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  (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]])/
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     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]])/
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     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 + 
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  (17629184000*f[a[1]^2*a[2]]*f[a[1]*a[5]]*f[a[2]*b[3]*c[1]])/
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  (5557452800*f[a[1]*a[2]*a[3]]*f[a[1]*a[5]]*f[a[2]*b[3]*c[1]])/
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  (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 - 
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  (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 - 
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  (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 + 
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  (32768000*f[a[1]^3*a[2]]*f[a[1]*b[1]*c[1]]*f[a[2]*b[3]*c[1]])/
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     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]])/
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  (320512000*f[a[1]^4*a[2]]*f[a[1]^2*b[1]*c[1]]*f[a[2]*b[3]*c[1]])/
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  (557056000*f[a[1]*a[2]*a[3]]*f[a[1]^2*b[1]*c[1]]*f[a[2]*b[3]*c[1]])/
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     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]])/
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     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]]*
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  (6710886400*f[a[6]]*f[a[1]*a[2]*b[2]*c[1]]*f[a[2]*b[3]*c[1]])/
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   14348907 + (1064960*f[a[3]*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*
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  (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]]*
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  (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]])/
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  (969113600*f[a[1]*a[5]]*f[a[1]^2*b[2]*c[1]]*f[b[4]*c[1]])/
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  (349107200*f[a[1]^4*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*f[b[4]*c[1]])/
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  (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]]*
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  (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]])/
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  (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]])/
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  (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]]*
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  (68157440*f[a[4]*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*f[b[4]*c[1]])/
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  (5452595200*f[a[1]^3*a[2]]*f[a[1]*a[2]*b[2]*c[1]]*f[b[4]*c[1]])/
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  (4362076160*f[a[1]*a[4]]*f[a[1]*a[2]*b[2]*c[1]]*f[b[4]*c[1]])/
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     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 - 
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  (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]]*
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  (5324800*f[a[1]^3*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*f[b[4]*c[1]])/
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  (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]])/
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  (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 - 
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  (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 + 
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  (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]])/
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  (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 - 
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  (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]]*
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  (46432256*f[a[1]^2*a[2]]*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[4]*c[1]])/
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  (218103808*f[a[1]*a[2]]*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[4]*c[1]])/
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  (218103808*f[a[2]*a[3]]*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[4]*c[1]])/
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  (4170809344*f[a[1]^2*a[2]]*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[4]*c[1]])/
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   43046721 - (48988160*f[a[1]^4]*f[a[2]*b[1]*c[1]]*f[a[1]*b[4]*c[1]])/
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  (218103808*f[a[1]^3]*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]*b[4]*c[1]])/
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  (991999590400*f[a[1]^6]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[4]*c[1]])/
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  (954204160*f[a[1]*a[3]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[4]*c[1]])/
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  (19118587904*f[a[3]^2]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[4]*c[1]])/
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  (32579256320*f[a[1]*a[5]]*f[a[1]^2*a[2]*b[1]*c[1]]*
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   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]]*
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  (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]])/
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  (3405774848*f[a[2]*a[4]]*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[1]*c[2]])/
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  (2805760*f[b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[1]*c[2]])/
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  (1938219008*f[a[2]^2*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*
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  (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]])/
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  (14680064*f[a[2]]*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]*b[1]*c[2]])/
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  (6679429120*f[a[1]^4*a[2]]*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]*b[1]*c[2]])/
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  (234881024*f[a[1]*a[2]*a[3]]*f[a[1]*a[2]*b[2]*c[1]]*
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  (58720256*f[a[4]]*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]*b[1]*c[2]])/
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  (102760448*f[a[6]]*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]*b[1]*c[2]])/
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     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]]*
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  (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 + 
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  (326144000*f[a[1]^6]*f[a[3]*b[2]*c[1]]*f[a[1]*b[1]*c[2]])/
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  (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]])/
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  (293601280*f[a[1]*a[5]]*f[a[3]*b[2]*c[1]]*f[a[1]*b[1]*c[2]])/
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     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]]*
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  (483713024*f[a[2]^2*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*f[a[1]*b[1]*c[2]])/
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  (3891200*f[a[1]^4*a[2]]*f[b[3]*c[1]]*f[a[1]*b[1]*c[2]])/129140163 + 
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  (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]]*
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  (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]])/
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     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]])/
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     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]]*
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  (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]]*
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  (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]])/
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  (9961472*f[a[1]^3*a[3]]*f[a[2]*b[3]*c[1]]*f[a[1]*b[1]*c[2]])/
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  (637534208*f[a[2]*a[4]]*f[a[2]*b[3]*c[1]]*f[a[1]*b[1]*c[2]])/
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     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]]*
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  (4464640*f[a[1]*b[1]*c[1]]*f[b[4]*c[1]]*f[a[1]*b[1]*c[2]])/43046721 + 
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  (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]])/
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  (2278604800*f[a[6]]*f[a[2]^2*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]])/
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  (27747942400*f[a[6]]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]])/
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   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]])/
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  (287309824*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*
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  (195887104*f[a[1]^2*a[2]]*f[a[1]^2*b[2]*c[1]]*f[a[2]*b[1]*c[2]])/
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  (1320288256*f[a[2]^3]*f[a[1]^2*b[2]*c[1]]*f[a[2]*b[1]*c[2]])/
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  (166985728*f[a[4]]*f[a[1]^2*b[2]*c[1]]*f[a[2]*b[1]*c[2]])/
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  (341770240*f[a[6]]*f[a[1]^2*b[2]*c[1]]*f[a[2]*b[1]*c[2]])/
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  (3833790464*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*
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  (3268149248*f[a[4]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*f[a[2]*b[1]*c[2]])/
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  (807403520*f[a[1]^3*a[2]]*f[a[1]^3*b[2]*c[1]]*f[a[2]*b[1]*c[2]])/
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  (152633344*f[a[1]^2*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*f[a[2]*b[1]*c[2]])/
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  (367001600*f[a[1]^5]*f[a[1]*a[2]*b[2]*c[1]]*f[a[2]*b[1]*c[2]])/
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  (10526720*f[a[1]^3*b[1]*c[1]]*f[b[3]*c[1]]*f[a[2]*b[1]*c[2]])/
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  (104857600*f[a[2]*b[2]*c[1]]*f[b[3]*c[1]]*f[a[2]*b[1]*c[2]])/
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   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]])/
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     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]])/
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  (637534208*f[a[2]*a[4]]*f[a[1]*b[3]*c[1]]*f[a[2]*b[1]*c[2]])/
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  (2105344*f[b[1]*c[1]]*f[a[1]*b[3]*c[1]]*f[a[2]*b[1]*c[2]])/14348907 - 
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  (233627648*f[a[1]^2*a[3]]*f[a[1]^2*b[3]*c[1]]*f[a[2]*b[1]*c[2]])/
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  (298188800*f[a[4]]*f[a[1]^2*b[1]*c[2]]*f[a[2]*b[1]*c[2]])/
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  (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]]*
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  (349798400*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]]*
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  (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]])/
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  (760217600*f[a[2]*a[3]]*f[a[1]^3*b[1]*c[2]]*f[a[2]*b[1]*c[2]])/
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  (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 + 
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  (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 - 
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  (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 - 
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  (713031680*f[a[1]^2*b[3]*c[1]]*f[a[2]*b[1]*c[2]]^2)/31381059609 + 
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  (1310720*f[a[1]^3*a[3]]*f[b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
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  (1048576000*f[a[1]^5]*f[a[1]*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
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  (10485760*f[a[3]]*f[a[1]*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
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  (367001600*f[a[5]]*f[a[1]*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
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  (1374945280*f[a[1]^4]*f[a[1]^2*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
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  (1758986240*f[a[2]^2]*f[a[1]^2*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
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  (52428800*f[a[5]]*f[a[1]^3*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
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     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]])/
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     f[a[1]*a[2]*b[1]*c[2]])/31381059609 + 
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     f[a[1]*a[2]*b[1]*c[2]])/847288609443 + 
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  (671088640*f[a[6]]*f[a[2]*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
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  (12415139840*f[a[1]^4*a[2]]*f[a[1]^2*a[2]*b[1]*c[1]]*
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  (40600862720*f[a[1]*a[2]*a[3]]*f[a[1]^2*a[2]*b[1]*c[1]]*
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  (16441671680*f[a[4]]*f[a[1]^2*a[2]*b[1]*c[1]]*
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  (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 + 
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  (12117606400*f[a[1]*a[5]]*f[b[5]*c[1]]*f[a[1]*a[2]*b[1]*c[2]])/
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  (262144000*f[a[1]^3*a[2]]*f[b[1]*c[2]]*f[a[1]*a[2]*b[1]*c[2]])/
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  (26214400*f[a[2]]*f[a[1]*b[1]*c[2]]*f[a[1]*a[2]*b[1]*c[2]])/
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  (1127219200*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[1]*c[2]]*
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  (2684354560*f[a[2]*b[3]*c[1]]*f[a[1]*b[1]*c[2]]*
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   10460353203 - (1468006400*f[a[1]*a[4]]*f[a[1]^2*b[1]*c[2]]*
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  (288358400*f[a[2]]*f[a[1]^3*b[1]*c[2]]*f[a[1]*a[2]*b[1]*c[2]])/
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  (3801088000*f[a[6]]*f[a[1]^3*b[1]*c[2]]*f[a[1]*a[2]*b[1]*c[2]])/
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  (5688524800*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]^3*b[1]*c[2]]*
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  (26214400*f[a[1]]*f[a[2]*b[1]*c[2]]*f[a[1]*a[2]*b[1]*c[2]])/
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  (655360000*f[a[1]^5]*f[a[2]*b[1]*c[2]]*f[a[1]*a[2]*b[1]*c[2]])/
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  (26214400*f[a[3]]*f[a[2]*b[1]*c[2]]*f[a[1]*a[2]*b[1]*c[2]])/
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  (3014656000*f[a[5]]*f[a[2]*b[1]*c[2]]*f[a[1]*a[2]*b[1]*c[2]])/
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  (288358400*f[a[1]^3*b[1]*c[1]]*f[a[2]*b[1]*c[2]]*
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  (2684354560*f[a[1]*b[3]*c[1]]*f[a[2]*b[1]*c[2]]*
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  (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 + 
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  (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]]*
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  (52428800*f[a[1]^3*a[2]]*f[a[1]*b[1]*c[1]]*f[a[3]*b[1]*c[2]])/
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  (41943040*f[a[1]*a[4]]*f[a[1]*b[1]*c[1]]*f[a[3]*b[1]*c[2]])/
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   43046721 + (40591360*f[a[1]^2*a[2]]*f[a[1]^2*b[1]*c[1]]*
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  (3609190400*f[a[1]^4*a[2]]*f[a[1]^2*b[1]*c[1]]*f[a[3]*b[1]*c[2]])/
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  (14660403200*f[a[1]*a[2]*a[3]]*f[a[1]^2*b[1]*c[1]]*
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  (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]])/
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  (2191523840*f[a[2]*a[3]]*f[a[1]^3*b[1]*c[1]]*f[a[3]*b[1]*c[2]])/
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     f[a[3]*b[1]*c[2]])/3486784401 + 
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  (262144000*f[a[1]^5]*f[a[1]*a[2]*b[1]*c[1]]*f[a[3]*b[1]*c[2]])/
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  (40591360*f[a[1]^2]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[3]*b[1]*c[2]])/
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  (10830848000*f[a[1]^6]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[3]*b[1]*c[2]])/
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  (1633157120*f[a[6]]*f[a[1]*a[3]*b[1]*c[1]]*f[a[3]*b[1]*c[2]])/
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  (925904896*f[a[3]^2]*f[a[1]^3*b[2]*c[1]]*f[a[3]*b[1]*c[2]])/
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  (6803685376*f[a[1]^3*a[3]]*f[a[2]*b[3]*c[1]]*f[a[3]*b[1]*c[2]])/
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  (7012876288*f[a[2]*a[4]]*f[a[2]*b[3]*c[1]]*f[a[3]*b[1]*c[2]])/
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  (10526720*f[b[1]*c[1]]*f[a[2]*b[3]*c[1]]*f[a[3]*b[1]*c[2]])/
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  (115793920*f[a[1]^4*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*f[a[3]*b[1]*c[2]])/
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  (17112236032*f[a[1]*a[3]*b[1]*c[1]]*f[a[2]*b[3]*c[1]]*
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  (3355443200*f[a[1]*a[2]*b[2]*c[1]]*f[a[2]*b[3]*c[1]]*
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  (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]])/
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  (22323200*f[a[1]^3*b[1]*c[1]]*f[b[4]*c[1]]*f[a[3]*b[1]*c[2]])/
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  (2474639360*f[a[2]*b[2]*c[1]]*f[b[4]*c[1]]*f[a[3]*b[1]*c[2]])/
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  (60416000*f[a[1]^4]*f[a[1]*b[4]*c[1]]*f[a[3]*b[1]*c[2]])/
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  (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]])/
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  (126701535232*f[a[1]*a[2]*b[2]*c[1]]*f[a[1]*b[4]*c[1]]*
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  (40370176*f[b[3]*c[1]]*f[a[1]*b[4]*c[1]]*f[a[3]*b[1]*c[2]])/
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  (220160000*f[a[1]^4*a[2]]*f[b[5]*c[1]]*f[a[3]*b[1]*c[2]])/
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  (1726054400*f[a[1]^2*a[4]]*f[b[5]*c[1]]*f[a[3]*b[1]*c[2]])/
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   94143178827 - (660889600*f[a[2]*b[1]*c[1]]*f[b[5]*c[1]]*
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  (3304448000*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[5]*c[1]]*f[a[3]*b[1]*c[2]])/
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  (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]]*
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  (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]]*
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  (1066926080*f[a[1]*b[4]*c[1]]*f[b[5]*c[1]]*f[a[3]*b[1]*c[2]])/
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   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]])/
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  (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]])/
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  (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]]*
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  (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]])/
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  (2778726400*f[a[1]^3*a[3]]*f[a[1]*b[1]*c[2]]*f[a[3]*b[1]*c[2]])/
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     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]])/
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     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]])/
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  (44134400*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[1]*c[2]]*f[a[3]*b[1]*c[2]])/
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  (5242880*f[b[3]*c[1]]*f[a[1]*b[1]*c[2]]*f[a[3]*b[1]*c[2]])/
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     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]])/
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  (1137920000*f[a[1]^5]*f[a[1]^2*b[1]*c[2]]*f[a[3]*b[1]*c[2]])/
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  (159692800*f[a[3]]*f[a[1]^2*b[1]*c[2]]*f[a[3]*b[1]*c[2]])/
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  (73984000*f[a[5]]*f[a[1]^2*b[1]*c[2]]*f[a[3]*b[1]*c[2]])/
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     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]]*
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  (5242880*f[a[1]*b[3]*c[1]]*f[a[1]^2*b[1]*c[2]]*f[a[3]*b[1]*c[2]])/
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  (1117849600*f[a[1]^4]*f[a[1]^3*b[1]*c[2]]*f[a[3]*b[1]*c[2]])/
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  (2542796800*f[a[1]*a[3]]*f[a[1]^3*b[1]*c[2]]*f[a[3]*b[1]*c[2]])/
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  (9366400000*f[a[1]^6]*f[a[3]*b[1]*c[2]]^2)/282429536481 - 
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   387420489 + (3987079168*f[a[1]*a[2]*a[3]]^2*f[b[2]*c[2]])/
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  (7087604*f[a[1]^2*a[2]^2]*f[a[1]^2*b[1]*c[1]]*f[b[2]*c[2]])/
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     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]])/
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     f[b[2]*c[2]])/3486784401 - 
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     f[b[2]*c[2]])/4782969 - (22347971*f[a[1]^2*b[1]*c[1]]^2*
     f[b[2]*c[2]])/43046721 + 
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  (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]]*
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  (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 - 
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  (13963552*f[a[1]*a[3]*b[1]*c[1]]*f[b[2]*c[2]]^2)/387420489 + 
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  (961*f[b[2]*c[2]]^3)/6561 - 
  (608*f[1]*f[a[1]]*f[a[1]*b[2]*c[2]])/2187 - 
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  (3040*f[1]*f[a[1]^3]*f[a[1]*b[2]*c[2]])/19683 - 
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  (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 + 
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  (10362742880*f[a[1]^5]*f[a[1]^6]*f[a[1]*b[2]*c[2]])/1162261467 + 
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  (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]])/
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     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]])/
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  (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 + 
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  (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]])/
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     f[a[1]*b[2]*c[2]])/31381059609 - 
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  (13422460928*f[a[1]^3*a[2]]*f[a[2]^3]*f[a[1]*b[2]*c[2]])/
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  (608*f[a[1]^2]*f[a[3]]*f[a[1]*b[2]*c[2]])/19683 - 
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  (7355584*f[a[1]^2*a[2]^2]*f[a[3]]*f[a[1]*b[2]*c[2]])/129140163 + 
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  (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 - 
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  (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 + 
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  (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]])/
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     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 - 
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  (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]])/
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     f[a[1]*b[2]*c[2]])/3486784401 - 
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  (717537280*f[a[1]^4*a[2]]*f[a[2]*a[3]]*f[a[1]*b[2]*c[2]])/
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     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]])/
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  (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 - 
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  (5858080*f[a[3]^2]*f[a[5]]*f[a[1]*b[2]*c[2]])/10460353203 + 
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     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]])/
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     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]])/
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     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]])/
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  (1481569472*f[a[1]^2*a[2]^2]*f[a[3]*b[1]*c[1]]*f[a[1]*b[2]*c[2]])/
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  (37112320*f[a[1]^2*a[3]]*f[a[1]^2*b[3]*c[1]]*f[a[1]*b[2]*c[2]])/
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  (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]*
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   31381059609 - (3540992*f[a[2]]*f[a[4]]*f[a[1]^2*b[2]*c[2]])/
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   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]])/
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  (83388416*f[a[1]^2*a[2]]*f[a[1]^2*a[4]]*f[a[1]^2*b[2]*c[2]])/
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  (16172982400*f[a[1]^2*a[2]^2]*f[a[1]*a[5]]*f[a[1]^2*b[2]*c[2]])/
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  (373250129920*f[a[2]*a[4]]*f[a[1]*a[5]]*f[a[1]^2*b[2]*c[2]])/
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   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]])/
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  (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]])/
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   4782969 - (1370066*f[1]*f[a[1]^2*b[1]*c[1]]*f[a[1]^2*b[2]*c[2]])/
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  (25605963776*f[a[1]^3*a[3]]*f[a[1]*a[2]*a[3]]*f[a[2]*b[2]*c[2]])/
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   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]])/
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  (713230336*f[a[4]]*f[a[1]^2*b[1]*c[1]]*f[a[2]*b[2]*c[2]])/
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  (246016*f[b[2]*c[2]]*f[a[2]*b[2]*c[2]]^2)/531441 + 
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  (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]])/
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   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]])/
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  (1024000*f[a[2]]*f[a[1]^3*b[1]*c[1]]*f[b[3]*c[2]])/14348907 + 
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  (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]])/
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   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]])/
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   129140163 - (6553600*f[a[1]^2]*f[a[1]*a[2]*b[1]*c[1]]*f[b[3]*c[2]])/
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  (36659200*f[a[1]^3]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[3]*c[2]])/
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  (458137600*f[a[1]^2*a[3]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[b[3]*c[2]])/
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     f[b[3]*c[2]])/1162261467 + 
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  (32768000*f[a[1]*a[2]*a[3]]*f[a[3]*b[1]*c[1]]*f[b[3]*c[2]])/
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  (45875200*f[a[1]*a[2]]*f[a[1]*a[3]*b[1]*c[1]]*f[b[3]*c[2]])/
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  (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]]*
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  (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]]*
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  (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]]*
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  (89292800*f[a[1]^2*a[4]]*f[a[1]^2*b[1]*c[1]]*f[a[1]*b[3]*c[2]])/
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  (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]]*
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  (104857600*f[a[2]*a[3]]*f[a[1]^3*b[1]*c[1]]*f[a[1]*b[3]*c[2]])/
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  (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 + 
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  (8020787200*f[a[1]^2*a[4]]*f[a[1]^4*b[1]*c[1]]*f[a[1]*b[3]*c[2]])/
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  (7577600*f[a[1]^2]*f[a[2]*b[1]*c[1]]*f[a[1]*b[3]*c[2]])/43046721 + 
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  (2585600000*f[a[1]^6]*f[a[2]*b[1]*c[1]]*f[a[1]*b[3]*c[2]])/
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  (1677721600*f[a[1]*a[2]^2]*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]*b[3]*c[2]])/
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  (367001600*f[a[1]^2*a[3]]*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]*b[3]*c[2]])/
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  (22323200*f[a[1]^2]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[3]*c[2]])/
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  (476922880000*f[a[1]^6]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[3]*c[2]])/
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  (6976716800*f[a[1]^2*a[2]^2]*f[a[1]^2*a[2]*b[1]*c[1]]*
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  (458752000*f[a[1]*a[3]]*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[3]*c[2]])/
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     f[a[1]*b[3]*c[2]])/847288609443 + 
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  (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]])/
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  (29708288000*f[a[2]^3]*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[3]*c[2]])/
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  (611123200*f[a[4]]*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[3]*c[2]])/
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  (1552793600*f[a[6]]*f[a[2]^2*b[1]*c[1]]*f[a[1]*b[3]*c[2]])/
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  (262144000*f[a[1]^3*a[2]]*f[a[3]*b[1]*c[1]]*f[a[1]*b[3]*c[2]])/
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  (209715200*f[a[1]*a[4]]*f[a[3]*b[1]*c[1]]*f[a[1]*b[3]*c[2]])/
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     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]])/
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     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]]*
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  (23029350400*f[a[6]]*f[a[1]*a[3]*b[1]*c[1]]*f[a[1]*b[3]*c[2]])/
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   14348907 + (30310400*f[a[1]^2]*f[a[4]*b[1]*c[1]]*f[a[1]*b[3]*c[2]])/
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  (10342400000*f[a[1]^6]*f[a[4]*b[1]*c[1]]*f[a[1]*b[3]*c[2]])/
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  (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]]*
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  (52428800*f[a[1]^3*a[3]]*f[a[4]*b[1]*c[1]]*f[a[1]*b[3]*c[2]])/
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  (77175193600*f[a[2]*a[4]]*f[a[4]*b[1]*c[1]]*f[a[1]*b[3]*c[2]])/
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  (3297280*f[a[1]^2*a[3]]*f[b[2]*c[1]]*f[a[1]*b[3]*c[2]])/43046721 + 
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  (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]])/
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  (668917760*f[a[1]^2*a[2]^2]*f[a[1]*b[2]*c[1]]*f[a[1]*b[3]*c[2]])/
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  (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]]*
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  (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]])/
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     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]])/
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  (7780433920*f[a[1]^3*a[3]]*f[a[3]*b[2]*c[1]]*f[a[1]*b[3]*c[2]])/
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  (14680064000*f[a[2]*a[4]]*f[a[3]*b[2]*c[1]]*f[a[1]*b[3]*c[2]])/
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     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]])/
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  (827699200*f[a[1]^4*b[1]*c[1]]*f[a[3]*b[2]*c[1]]*f[a[1]*b[3]*c[2]])/
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     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]]*
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  (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]]*
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  (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]]*
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  (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]])/
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     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]])/
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     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]])/
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  (13137920*f[a[1]*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]]*f[a[1]*b[3]*c[2]])/
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  (13137920*f[a[3]*b[1]*c[1]]*f[a[1]^2*b[1]*c[2]]*f[a[1]*b[3]*c[2]])/
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  (9961472*f[a[1]*b[3]*c[1]]*f[a[1]^2*b[1]*c[2]]*f[a[1]*b[3]*c[2]])/
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  (4247828480*f[a[1]^4]*f[a[1]^3*b[1]*c[2]]*f[a[1]*b[3]*c[2]])/
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  (99614720*f[a[1]*a[3]]*f[a[1]^3*b[1]*c[2]]*f[a[1]*b[3]*c[2]])/
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  (1074165760*f[a[3]^2]*f[a[1]^3*b[1]*c[2]]*f[a[1]*b[3]*c[2]])/
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  (6474956800*f[a[1]*a[5]]*f[a[1]^3*b[1]*c[2]]*f[a[1]*b[3]*c[2]])/
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  (1192755200*f[b[5]*c[1]]*f[a[1]^3*b[1]*c[2]]*f[a[1]*b[3]*c[2]])/
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  (498073600*f[a[1]^3*a[2]]*f[a[2]*b[1]*c[2]]*f[a[1]*b[3]*c[2]])/
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  (398458880*f[a[1]*a[4]]*f[a[2]*b[1]*c[2]]*f[a[1]*b[3]*c[2]])/
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  (29360128*f[b[2]*c[1]]*f[a[2]*b[1]*c[2]]*f[a[1]*b[3]*c[2]])/
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  (398458880*f[a[4]]*f[a[1]*a[2]*b[1]*c[2]]*f[a[1]*b[3]*c[2]])/
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  (697303040*f[a[6]]*f[a[1]*a[2]*b[1]*c[2]]*f[a[1]*b[3]*c[2]])/
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  (289244446720*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*a[2]*b[1]*c[2]]*
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  (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]]*
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  (194560*f[1]*f[a[3]*b[1]*c[2]]*f[a[1]*b[3]*c[2]])/4782969 + 
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  (2353786880*f[a[1]^2*a[2]^2]*f[a[3]*b[1]*c[2]]*f[a[1]*b[3]*c[2]])/
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  (19922944000*f[a[2]*a[4]]*f[a[3]*b[1]*c[2]]*f[a[1]*b[3]*c[2]])/
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  (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]]*
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  (3875686400*f[a[1]^4*b[1]*c[1]]*f[a[3]*b[1]*c[2]]*f[a[1]*b[3]*c[2]])/
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     f[a[1]*b[3]*c[2]])/31381059609 - 
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  (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]])/
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  (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]]*
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  (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]]*
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  (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]]*
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  (56913920*f[a[3]*b[2]*c[1]]*f[b[2]*c[2]]*f[a[1]*b[3]*c[2]])/
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  (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]]*
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  (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]])/
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     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]]*
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  (194560*f[a[1]^2*b[1]*c[2]]*f[a[1]*b[2]*c[2]]*f[a[1]*b[3]*c[2]])/
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  (9141207040*f[a[1]^4*a[2]]*f[a[1]^2*b[2]*c[2]]*f[a[1]*b[3]*c[2]])/
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  (488112128*f[a[1]*a[2]*a[3]]*f[a[1]^2*b[2]*c[2]]*f[a[1]*b[3]*c[2]])/
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  (73349120*f[a[1]^3*b[1]*c[2]]*f[a[1]^2*b[2]*c[2]]*f[a[1]*b[3]*c[2]])/
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   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]]*
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  (2825912320*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[3]*c[2]]*f[b[4]*c[2]])/
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     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]])/
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  (6668288000*f[b[5]*c[1]]*f[b[4]*c[2]]^2)/847288609443 - 
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  (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 + 
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  (34242560*f[a[1]*a[2]]*f[a[1]^3*a[2]]*f[b[1]*b[2]*c[1]*c[2]])/
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  (2779532800*f[a[1]^2*a[2]]*f[a[1]^4*a[2]]*f[b[1]*b[2]*c[1]*c[2]])/
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   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]])/
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  (387068*f[a[1]^2]*f[a[1]^2*a[2]^2]*f[b[1]*b[2]*c[1]*c[2]])/
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  (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 - 
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  (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]])/
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   4782969 + (5731616*f[a[1]^3]*f[a[1]^2*a[3]]*f[b[1]*b[2]*c[1]*c[2]])/
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  (1624849600*f[a[1]*a[2]^2]*f[a[1]^2*a[3]]*f[b[1]*b[2]*c[1]*c[2]])/
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     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]])/
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     f[b[1]*b[2]*c[1]*c[2]])/3486784401 + 
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   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]])/
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  (34242560*f[a[1]^3*a[2]]*f[a[2]*a[3]]*f[b[1]*b[2]*c[1]*c[2]])/
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     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]])/
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     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 + 
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  (3787069132*f[a[1]^2*a[2]^2]*f[a[3]^2]*f[b[1]*b[2]*c[1]*c[2]])/
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  (256110272*f[a[1]^3*a[3]]*f[a[3]^2]*f[b[1]*b[2]*c[1]*c[2]])/
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     f[b[1]*b[2]*c[1]*c[2]])/94143178827 - 
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  (28032704512*f[a[4]]*f[a[4]*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
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  (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]]*
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  (67287040*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[4]*b[1]*c[1]]*
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  (64000*f[b[2]*c[1]]*f[a[1]^2*b[2]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
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  (65536000*f[a[3]^2]*f[a[1]*a[2]*b[2]*c[1]]*f[b[1]*b[2]*c[1]*c[2]])/
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  (11492392960*f[a[2]^2*b[1]*c[1]]*f[a[1]*a[2]*b[2]*c[1]]*
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  (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 + 
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  (63955295*f[a[1]^2*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]^2)/1162261467 + 
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  (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 + 
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  (751360*f[a[1]^3]^2*f[b[1]*c[3]])/1594323 + 
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  (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 + 
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  (1310720*f[a[1]*a[2]]^2*f[b[1]*c[3]])/4782969 + 
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  (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 - 
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  (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 + 
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  (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 + 
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  (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 + 
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  (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 + 
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  (332800*f[1]*f[a[1]*a[5]]*f[b[1]*c[3]])/4782969 + 
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  (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 - 
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  (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 + 
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  (1280*f[a[1]*b[1]*c[1]]^2*f[b[1]*c[3]])/59049 - 
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  (291788800*f[a[1]^3*a[3]]*f[a[2]^2*b[1]*c[1]]*f[b[1]*c[3]])/
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  (154009600*f[a[2]*a[4]]*f[a[2]^2*b[1]*c[1]]*f[b[1]*c[3]])/
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  (1248320*f[a[1]^2*b[1]*c[1]]*f[a[2]^2*b[1]*c[1]]*f[b[1]*c[3]])/
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  (179200*f[a[1]^2]*f[a[1]*a[3]*b[1]*c[1]]*f[b[1]*c[3]])/4782969 + 
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  (169600000*f[a[1]^6]*f[a[1]*a[3]*b[1]*c[1]]*f[b[1]*c[3]])/
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  (177817600*f[a[1]^2*a[2]^2]*f[a[1]*a[3]*b[1]*c[1]]*f[b[1]*c[3]])/
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  (35840*f[a[1]^2*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]]*f[b[1]*c[3]])/
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  (6686720*f[a[2]^2*b[1]*c[1]]*f[a[1]*a[3]*b[1]*c[1]]*f[b[1]*c[3]])/
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   387420489 + (819200*f[a[2]]*f[a[4]*b[1]*c[1]]*f[b[1]*c[3]])/
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   1162261467 + (20480000*f[a[1]^4*a[2]]*f[a[4]*b[1]*c[1]]*
     f[b[1]*c[3]])/10460353203 + 
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  (26214400*f[a[1]*a[2]*a[3]]*f[a[4]*b[1]*c[1]]*f[b[1]*c[3]])/
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  (72908800*f[a[6]]*f[a[4]*b[1]*c[1]]*f[b[1]*c[3]])/3486784401 + 
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  (819200*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[4]*b[1]*c[1]]*f[b[1]*c[3]])/
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  (9961472*f[a[1]*a[2]*a[3]]*f[a[1]*b[2]*c[1]]*f[b[1]*c[3]])/
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   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]])/
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  (21053440*f[a[1]^2*a[2]*b[1]*c[1]]*f[a[1]*b[2]*c[1]]*f[b[1]*c[3]])/
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  (49807360*f[a[1]^3*a[2]]*f[a[1]^2*b[2]*c[1]]*f[b[1]*c[3]])/
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  (134742016*f[a[1]*a[2]*b[1]*c[1]]*f[a[1]^2*b[2]*c[1]]*f[b[1]*c[3]])/
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  (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]])/
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  (84213760*f[a[4]*b[1]*c[1]]*f[a[1]^3*b[2]*c[1]]*f[b[1]*c[3]])/
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  (1556480*f[a[3]]*f[a[2]*b[2]*c[1]]*f[b[1]*c[3]])/4782969 + 
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  (4210688*f[a[1]*b[1]*c[1]]*f[a[2]*b[2]*c[1]]*f[b[1]*c[3]])/43046721 + 
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  (1665925120*f[a[1]^3*b[2]*c[1]]*f[a[1]*b[3]*c[2]]*f[b[1]*c[3]])/
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  (27262976*f[a[2]*b[3]*c[1]]*f[a[1]*b[3]*c[2]]*f[b[1]*c[3]])/
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  (380108800*f[a[1]*b[1]*c[2]]*f[a[1]*b[3]*c[2]]*f[b[1]*c[3]])/
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  (380108800*f[a[3]*b[1]*c[2]]*f[a[1]*b[3]*c[2]]*f[b[1]*c[3]])/
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   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]]*
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  (1676480*f[a[2]^2*b[1]*c[1]]*f[b[1]*b[2]*c[1]*c[2]]*f[b[1]*c[3]])/
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   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]])/
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  (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 - 
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  (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]])/
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  (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 + 
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  (56515624960*f[a[1]^3*a[2]]*f[a[2]^3]*f[a[1]*b[1]*c[3]])/
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  (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 - 
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  (65536000*f[a[1]^5]*f[a[1]*a[3]]*f[a[1]*b[1]*c[3]])/387420489 + 
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  (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 - 
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   387420489 + (10240655360*f[a[1]^2*a[3]]*f[a[1]^3*a[3]]*
     f[a[1]*b[1]*c[3]])/10460353203 + 
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  (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]])/
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     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]])/
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  (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]])/
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     f[a[1]*b[1]*c[3]])/3486784401 + 
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     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 + (3