Ingolf Dahl           2006-12-21
ingolf.dahl@telia.com
http://web.telia.com/~u31815170/Mathematica/

PowerTower extended to real exponents

Since the last version, I have changed "horse function" to (Exp[x] - 1), to avoid oscillating functions when x->∞ This means slightly changed values of the constants I have calculated. I have also included some theory and some graphs in this file, and have structured it better.

Initialization cells

From Mathematica Help, Power (We use this definition here as a starting point):
The defined function PowerTower gives x to the power x to the power x ... n times.

PowerTower[x_?NumericQ,n_Integer?Positive]:=Nest[Power[x,#]&,x,n-1]

We can do the following natural extensions for the integers 0, -1 and -2. The exclusion of x === 0 for n = -1 is optional.

PowerTower[x_?NumericQ, 0] := 1;
PowerTower[x_?NumericQ /; x =!= 0, -1] := 0;
\(\(PowerTower[
          x_?NumericQ /; x > 1, \(-2\)] := \(-∞\);\)\)
\(\(PowerTower[
          x_?NumericQ /; 0 < x < 1, \(-2\)] := ∞;\)\)

Here is my extension of PowerTower to real values of n and  x > 1. For x < 1 the y-derivative of Exp[y*Log[x]] is negative, which implies that PowerTower will be forced out into the complex plane for non-integer values of n. That is probably an interesting topic for study some day, but that day is not today.

PowerTower[(x_)?NumericQ /; x > 1, 
   n_Real /; n >= -2] := 
  fexpk[PowerTower[x, Floor[n]], 
   Log[x]*SetAccuracy[1, 100], 
   n - Floor[n]]

We need some auxiliary functions. fexpk calculates Exp[k x] to the decompositional power p. (fexpk can be called a "fractional iterate".) Here we have to handle two regions for k, determined by how the curves y = Exp[k x] and y = x cross. There is definitely rooms for improvement here: I have not balanced accuracy consequently, and have not had time yet for trimming in everything.

fexpk[x_ /; Or[NumericQ[x], x === -Infinity], 
        k_?NumericQ /; 1/E < k, p_ /; And[0 ≤ p, p < 1]] := 
      Module[{y, steps}, y = If[MachineNumberQ[x], SetAccuracy[x, 24], x]; 
        steps = 0; 
While[k*y < Log[Log[1.0*^646456887]/k], 
          steps = steps + 1; y = Exp[k*y]]; 
While[
          k*y > Log[1.0*^646456887], steps = steps - 1; 
          y = Log[y]/k]; 
y = 
          fhorse[y, k, 
              p]*(1 + 
                SetAccuracy[0. , 
                  Min[1000, (k*y)/2.3]]); 
If[
          steps ≥ 0, If[MachineNumberQ[x], N[#], #] &@
            Nest[Log[#]/k &, y, steps], If[MachineNumberQ[x], N[#], #] &@
            Nest[Exp[k*#] &, y, -steps]]]

fexpk[x_ /; Or[NumericQ[x], x === -Infinity], 
        k_?NumericQ /; 0 < k ≤ 1/E, 
        p_ /; And[0 ≤ p, p < 1]] := 
      Module[{steps, bitlist, fnip, y, myroot}, 
        bitlist = RealDigits[p, 2]; 
bitlist = 
          Join[Table[0, {-bitlist[[2]]}], 
              bitlist[[1]]] //. {{a1__, 
                  0} :> {a1}}; 
If[x < E, 
          myroot = -(ProductLog[-k]/k), 
          myroot = -(ProductLog[-1, -k]/
                  k)]; 
fnip[xx_] := 
          Exp[k*(xx + myroot)] - myroot; 
y = 
          If[MachineNumberQ[x], SetAccuracy[x, 24], x]; 
        steps = 0; 
While[Abs[y - myroot] > 0.05, 
          steps = steps + 1; 
          y = If[x < E, Exp[k*y], Log[y]/k]]; 
y = 
          y - myroot; 
While[Length[bitlist] > 0, 
          fnip[xx_] = HalfwaySeries[fnip[xx], xx]; 
If[
            bitlist[[1]] == 1, 
            y = fnip[y]]; 
bitlist = 
            Drop[bitlist, 1]]; 
y = 
          y + myroot; 
If[MachineNumberQ[x], N[#], #] &@
          Nest[(If[x < E, Log[#]/k, Exp[k*#]]) &, y, steps]]

See the theory section for discussion about the chosen horse function.
Real values of the decompositional power p can be reached by writing p in base two and successive binary decompositioning of the horse function. To decompose into more than three or four functions at the same time, e.g. solve the equation f(f(f(f(f(x))))) = g(x) for given g(x) is very time-consuming on the computer, and it seems to be faster to do successive decomposition into 2, 4, 8, 16,..., 2^188 functions.

fhorse[(x_)?NumericQ /; x > 0, (k_)?NumericQ /; k > 0, 
        p_ /; 0 ≤ p && p < 1] := 
      Module[{steps, bitlist, y}, 
bitlist = 
          RealDigits[p, 2]; 
        bitlist = 
          Join[Table[0, {-bitlist[[2]]}], 
              bitlist[[1]]] //. {{a1__, 
                  0} :> {a1}}; 
y = 
          If[MachineNumberQ[x], SetAccuracy[x, 24], 
            x]; 
steps = 0; y = (y + Log[k]/k)*k; 
        While[y > 0.06346631683594385, steps = steps + 1; 
          y = Log[1 + y]]; 
While[y < 0.061533683164056155, 
          steps = steps - 1; y = Exp[y] - 1]; 
y = 
          DecompositionalPower16[y, bitlist]; 
If[
          steps ≥ 
            0, ((If[MachineNumberQ[x], N[#1], #1] &)[#1/k - 
                    Log[k]/k] &)[
            Nest[(Exp[#1] - 1) &, y, 
              steps]], ((If[MachineNumberQ[x], N[#1], #1] &)[#1/k - 
                    Log[k]/k] &)[
            Nest[Log[1 + #] &, y, -steps]]]]

DecompositionalPower16 uses successive binary decompositions of Exp[y] - 1, and use Taylor expansions around y = 1/16 to calculate the Exp[y] - 1 to the decompositional power given by bitlist, in the region 0.061533683164056155 ≤ y ≤ 0.06346631683594385. Then iterations of  Exp[y] - 1 can define Exp[y] - 1 to the decompositional power given by bitlist for all y > 0. Taylor expansion coefficients are given in the list coefftab, and they are enough exact to give an accuracy of approx. 38.

DecompositionalPower16[y_, bitlist_] := 
      Module[{bits, ydiff, i0, yres}, 
yres = 
          y; 
bits = bitlist; 
i0 = 
          0; 
While[Length[bits] > 0, i0 = i0 + 1; 
          If[bits[[1]] == 1, ydiff = yres - 1/16; 
            yres = Nest[({#[[1]]*ydiff + 
                          coefftab[[i0, -#[[2]]]], #[[2]] + 
                          1}) &, {coefftab[[i0, -1]], 2}, 
                  Length[coefftab[[i0]]] - 
                    1][[1]]]; 
bits = Drop[bits, 1]]; 
        yres + SetAccuracy[0, 38]]

HalfwayOddSeries and HalfwaySeries makes a binary decomposition (that is, solves the equation f(f(x)) = g(x) for a given function g(x)) of functions with fixed point at {0,0} with positive derivative and with a Taylor expansion. Note that a choice of sign is made when a[1] = Sqrt[b[1]] is calculated, and that we can obtain another decomposition by putting a minus sign there. The choice of the power 29 as last term is quite arbitrary, but should be increased if increased accuracy of coefftab is desired. You might calculate more if you have time, or cut away some powers if you like. HalfwayOddSeries is not used by any other function presently, and is just left here for convenience.

HalfwayOddSeries,HalfwaySeries and coefftab

HalfwayOddSeries[func_,x_]:=
  Module[{a,funcs,b},
    funcs=Series[func,{x,0,29}];
    Do[b[i]=SeriesCoefficient[funcs,i],{i,1,29,2}];
    a[1]=Sqrt[b[1]];
    a[3]=b[3]/(a[1]*(1+a[1]^2));
    a[5]=(-3*a[1]^2*a[3]^2+b[5])/(a[1]*(1+a[1]^4));
    a[7]=(-3*a[1]*a[3]^3-3*a[1]^2*a[3]*a[5]-5*a[1]^4*a[3]*a[5]+
            b[7])/(a[1]*(1+a[1]^6));
    a[9]=(1/(a[1]*(1+a[1]^8)))*(-a[3]^4-6*a[1]*a[3]^2*a[5]-10*a[1]^3*a[3]^2*
              a[5]-5*a[1]^4*a[5]^2-3*a[1]^2*a[3]*a[7]-7*a[1]^6*a[3]*a[7]+
            b[9]);
    a[11]=(1/(a[1]*(1+a[1]^10)))*(-3*a[3]^3*a[5]-10*a[1]^2*a[3]^3*a[5]-3*a[1]*
              a[3]*a[5]^2-20*a[1]^3*a[3]*a[5]^2-6*a[1]*a[3]^2*a[7]-21*a[1]^5*
              a[3]^2*a[7]-5*a[1]^4*a[5]*a[7]-7*a[1]^6*a[5]*a[7]-3*a[1]^2*a[3]*
              a[9]-9*a[1]^8*a[3]*a[9]+b[11]);
    a[13]=(1/(a[1]*(1+a[1]^12)))*(-5*a[1]*a[3]^4*a[5]-3*a[3]^2*a[5]^2-30*
              a[1]^2*a[3]^2*a[5]^2-10*a[1]^3*a[5]^3-3*a[3]^3*a[7]-35*a[1]^4*
              a[3]^3*a[7]-6*a[1]*a[3]*a[5]*a[7]-20*a[1]^3*a[3]*a[5]*a[7]-42*
              a[1]^5*a[3]*a[5]*a[7]-7*a[1]^6*a[7]^2-6*a[1]*a[3]^2*a[9]-36*
              a[1]^7*a[3]^2*a[9]-5*a[1]^4*a[5]*a[9]-9*a[1]^8*a[5]*a[9]-3*
              a[1]^2*a[3]*a[11]-11*a[1]^10*a[3]*a[11]+b[13]);
    a[15]=(1/(a[1]+a[1]^15))*((-a[3]^5)*a[5]-20*a[1]*a[3]^3*a[5]^2-
            a[3]*a[5]^3-30*a[1]^2*a[3]*a[5]^3-35*a[1]^3*a[3]^4*a[7]-6*a[3]^2*
              a[5]*a[7]-30*a[1]^2*a[3]^2*a[5]*a[7]-105*a[1]^4*a[3]^2*a[5]*
              a[7]-20*a[1]^3*a[5]^2*a[7]-21*a[1]^5*a[5]^2*a[7]-3*a[1]*a[3]*
              a[7]^2-42*a[1]^5*a[3]*a[7]^2-3*a[3]^3*a[9]-84*a[1]^6*a[3]^3*
              a[9]-6*a[1]*a[3]*a[5]*a[9]-20*a[1]^3*a[3]*a[5]*a[9]-72*a[1]^7*
              a[3]*a[5]*a[9]-7*a[1]^6*a[7]*a[9]-9*a[1]^8*a[7]*a[9]-6*a[1]*
              a[3]^2*a[11]-55*a[1]^9*a[3]^2*a[11]-5*a[1]^4*a[5]*a[11]-11*
              a[1]^10*a[5]*a[11]-3*a[1]^2*a[3]*a[13]-13*a[1]^12*a[3]*a[13]+
            b[15]);
    a[17]=(1/(a[1]+a[1]^17))*(-10*a[1]^2*a[5]^4-21*a[1]^2*a[3]^5*a[7]-42*
              a[1]^5*a[5]*a[7]^2-36*a[1]^7*a[5]^2*a[9]-9*a[1]^8*a[9]^2-
            a[3]^4*(5*a[5]^2+126*a[1]^5*a[9])-10*a[1]^3*
              a[5]*(a[7]^2+2*a[5]*a[9])-7*a[1]^6*a[7]*a[11]-11*a[1]^10*a[7]*
              a[11]-
            a[3]^3*(20*a[1]*a[5]*a[7]+140*a[1]^3*a[5]*a[7]+3*a[11]+165*a[1]^8*
                    a[11])-5*a[1]^4*a[5]*a[13]-13*a[1]^12*a[5]*a[13]-3*
              a[3]^2*(10*a[1]*a[5]^3+
                  a[7]^2+35*a[1]^4*a[7]^2+2*a[5]*a[9]+10*a[1]^2*a[5]*a[9]+84*
                    a[1]^6*a[5]*a[9]+2*a[1]*a[13]+26*a[1]^11*a[13])-
            a[3]*(3*a[5]^2*a[7]+60*a[1]^2*a[5]^2*a[7]+105*a[1]^4*a[5]^2*
                    a[7]+6*a[1]*a[7]*a[9]+42*a[1]^5*a[7]*a[9]+72*a[1]^7*a[7]*
                    a[9]+6*a[1]*a[5]*a[11]+20*a[1]^3*a[5]*a[11]+110*a[1]^9*
                    a[5]*a[11]+3*a[1]^2*a[15]+15*a[1]^14*a[15])+b[17]);
    a[19]=(1/(a[1]+a[1]^19))*(-7*a[1]*a[3]^6*a[7]-30*a[1]^2*a[5]^3*a[7]-126*
              a[1]^4*a[3]^5*a[9]-72*a[1]^7*a[5]*a[7]*a[9]-21*
              a[1]^5*(a[7]^3+2*a[5]*a[7]*a[9])-55*a[1]^9*a[5]^2*a[11]-9*
              a[1]^8*a[9]*a[11]-11*a[1]^10*a[9]*a[11]-5*
              a[3]^4*(a[5]*a[7]+21*a[1]^2*a[5]*a[7]+66*a[1]^7*a[11])-20*
              a[1]^3*a[5]*(a[7]*a[9]+a[5]*a[11])-7*a[1]^6*a[7]*a[13]-13*
              a[1]^12*a[7]*a[13]-
            a[3]^3*(10*a[5]^3+140*a[1]^3*a[7]^2+20*a[1]*a[5]*a[9]+504*a[1]^5*
                    a[5]*a[9]+3*a[13]+286*a[1]^10*a[13])-15*a[1]^14*a[5]*
              a[15]-5*a[1]^4*a[5]*(7*a[5]^2*a[7]+a[15])-3*
              a[3]^2*(20*a[1]*a[5]^2*a[7]+70*a[1]^3*a[5]^2*a[7]+2*a[7]*
                    a[9]+35*a[1]^4*a[7]*a[9]+84*a[1]^6*a[7]*a[9]+2*a[5]*
                    a[11]+10*a[1]^2*a[5]*a[11]+165*a[1]^8*a[5]*a[11]+2*a[1]*
                    a[15]+35*a[1]^13*a[15])-
            a[3]*(20*a[1]*a[5]^4+3*a[5]*a[7]^2+30*a[1]^2*a[5]*a[7]^2+210*
                    a[1]^4*a[5]*a[7]^2+3*a[5]^2*a[9]+60*a[1]^2*a[5]^2*
                    a[9]+252*a[1]^6*a[5]^2*a[9]+3*a[1]*a[9]^2+72*a[1]^7*
                    a[9]^2+6*a[1]*a[7]*a[11]+42*a[1]^5*a[7]*a[11]+110*a[1]^9*
                    a[7]*a[11]+6*a[1]*a[5]*a[13]+20*a[1]^3*a[5]*a[13]+156*
                    a[1]^11*a[5]*a[13]+3*a[1]^2*a[17]+17*a[1]^16*a[17])+
            b[19]);
    a[21]=(1/(a[1]+a[1]^21))*(-5*a[1]*a[5]^5-
            a[3]^7*a[7]-84*a[1]^3*a[3]^6*a[9]-6*a[1]^2*(5+14*a[1]^4)*a[5]^3*
              a[9]-42*a[1]^5*a[7]^2*a[9]-36*a[1]^7*a[7]^2*a[9]-11*a[1]^10*
              a[11]^2-42*a[3]^5*(a[1]*a[5]*a[7]+11*a[1]^6*a[11])-9*a[1]^8*
              a[9]*a[13]-13*a[1]^12*a[9]*a[13]-
            a[1]^2*a[
                  5]^2*(30*a[7]^2+105*a[1]^2*a[7]^2+20*a[1]*a[13]+78*a[1]^9*
                    a[13])-5*
              a[3]^4*(21*a[1]^2*a[7]^2+
                  a[5]*a[9]+126*a[1]^4*a[5]*a[9]+143*a[1]^9*a[13])-7*a[1]^6*
              a[7]*a[15]-15*a[1]^14*a[7]*a[15]-
            a[3]^3*(20*a[5]^2*a[7]+210*a[1]^2*a[5]^2*a[7]+140*a[1]^3*a[7]*
                    a[9]+504*a[1]^5*a[7]*a[9]+20*a[1]*a[5]*a[11]+1320*a[1]^7*
                    a[5]*a[11]+3*a[15]+455*a[1]^12*a[15])-
            a[1]^3*a[
                5]*(10*a[9]^2+72*a[1]^4*a[9]^2+20*a[7]*a[11]+42*a[1]^2*a[7]*
                    a[11]+110*a[1]^6*a[7]*a[11]+5*a[1]*a[17]+17*a[1]^13*
                    a[17])-a[
                  3]^2*(10*a[5]^4+30*a[1]*a[5]*a[7]^2+420*a[1]^3*a[5]*
                    a[7]^2+60*a[1]*a[5]^2*a[9]+756*a[1]^5*a[5]^2*a[9]+3*
                    a[9]^2+252*a[1]^6*a[9]^2+6*a[7]*a[11]+105*a[1]^4*a[7]*
                    a[11]+495*a[1]^8*a[7]*a[11]+6*a[5]*a[13]+30*a[1]^2*a[5]*
                    a[13]+858*a[1]^10*a[5]*a[13]+6*a[1]*a[17]+136*a[1]^15*
                    a[17])-a[
                3]*(60*a[1]*a[5]^3*a[7]+140*a[1]^3*a[5]^3*a[7]+
                  a[7]^3+105*a[1]^4*a[7]^3+6*a[5]*a[7]*a[9]+60*a[1]^2*a[5]*
                    a[7]*a[9]+210*a[1]^4*a[5]*a[7]*a[9]+504*a[1]^6*a[5]*a[7]*
                    a[9]+3*a[5]^2*a[11]+60*a[1]^2*a[5]^2*a[11]+495*a[1]^8*
                    a[5]^2*a[11]+6*a[1]*a[9]*a[11]+72*a[1]^7*a[9]*a[11]+110*
                    a[1]^9*a[9]*a[11]+6*a[1]*a[7]*a[13]+42*a[1]^5*a[7]*
                    a[13]+156*a[1]^11*a[7]*a[13]+6*a[1]*a[5]*a[15]+20*a[1]^3*
                    a[5]*a[15]+210*a[1]^13*a[5]*a[15]+3*a[1]^2*a[19]+19*
                    a[1]^18*a[19])+b[21]);
    a[23]=(1/(a[1]+a[1]^23))*(-5*a[1]*(4+7*a[1]^2)*a[5]^4*a[7]-36*a[1]^2*
              a[3]^7*a[9]-72*a[1]^7*a[7]*a[9]^2-15*a[1]^2*(2+11*a[1]^6)*
              a[5]^3*a[11]-55*a[1]^9*a[7]^2*a[11]-7*
              a[3]^6*(a[5]*a[7]+66*a[1]^5*a[11])-21*a[1]^5*
              a[7]*(a[9]^2+2*a[7]*a[11])-11*a[1]^10*a[11]*a[13]-13*a[1]^12*
              a[11]*a[13]-3*
              a[3]^5*(14*a[1]*a[7]^2+168*a[1]^3*a[5]*a[9]+429*a[1]^8*a[13])-9*
              a[1]^8*a[9]*a[15]-15*a[1]^14*a[9]*a[15]-
            a[1]^2*a[
                  5]^2*(60*a[7]*a[9]+105*a[1]^2*a[7]*a[9]+252*a[1]^4*a[7]*
                    a[9]+20*a[1]*a[15]+105*a[1]^11*a[15])-5*
              a[3]^4*(21*a[1]*a[5]^2*a[7]+21*a[1]^2*a[7]*a[9]+126*a[1]^4*a[7]*
                    a[9]+a[5]*a[11]+462*a[1]^6*a[5]*a[11]+273*a[1]^11*
                    a[15])-7*a[1]^6*a[7]*a[17]-17*a[1]^16*a[7]*a[17]-
            a[3]^3*(10*a[5]*a[7]^2+420*a[1]^2*a[5]*a[7]^2+20*a[5]^2*a[9]+1260*
                    a[1]^4*a[5]^2*a[9]+504*a[1]^5*a[9]^2+140*a[1]^3*a[7]*
                    a[11]+1320*a[1]^7*a[7]*a[11]+20*a[1]*a[5]*a[13]+2860*
                    a[1]^9*a[5]*a[13]+3*a[17]+680*a[1]^14*a[17])-
            a[1]^2*a[
                5]*(10*a[7]^3+105*a[1]^2*a[7]^3+20*a[1]*a[9]*a[11]+72*a[1]^5*
                    a[9]*a[11]+110*a[1]^7*a[9]*a[11]+20*a[1]*a[7]*a[13]+42*
                    a[1]^3*a[7]*a[13]+156*a[1]^9*a[7]*a[13]+5*a[1]^2*a[19]+19*
                    a[1]^16*a[19])-3*
              a[3]^2*(10*a[5]^3*a[7]+70*a[1]^2*a[5]^3*a[7]+70*a[1]^3*
                    a[7]^3+20*a[1]*a[5]*a[7]*a[9]+140*a[1]^3*a[5]*a[7]*
                    a[9]+504*a[1]^5*a[5]*a[7]*a[9]+20*a[1]*a[5]^2*a[11]+660*
                    a[1]^7*a[5]^2*a[11]+2*a[9]*a[11]+84*a[1]^6*a[9]*a[11]+165*
                    a[1]^8*a[9]*a[11]+2*a[7]*a[13]+35*a[1]^4*a[7]*a[13]+286*
                    a[1]^10*a[7]*a[13]+2*a[5]*a[15]+10*a[1]^2*a[5]*a[15]+455*
                    a[1]^12*a[5]*a[15]+2*a[1]*a[19]+57*a[1]^17*a[19])-
            a[3]*(5*a[5]^5+60*a[1]*a[5]^2*a[7]^2+420*a[1]^3*a[5]^2*a[7]^2+60*
                    a[1]*a[5]^3*a[9]+504*a[1]^5*a[5]^3*a[9]+3*a[7]^2*a[9]+210*
                    a[1]^4*a[7]^2*a[9]+252*a[1]^6*a[7]^2*a[9]+3*a[5]*
                    a[9]^2+30*a[1]^2*a[5]*a[9]^2+504*a[1]^6*a[5]*a[9]^2+6*
                    a[5]*a[7]*a[11]+60*a[1]^2*a[5]*a[7]*a[11]+210*a[1]^4*a[5]*
                    a[7]*a[11]+990*a[1]^8*a[5]*a[7]*a[11]+3*a[1]*a[11]^2+110*
                    a[1]^9*a[11]^2+3*a[5]^2*a[13]+60*a[1]^2*a[5]^2*a[13]+858*
                    a[1]^10*a[5]^2*a[13]+6*a[1]*a[9]*a[13]+72*a[1]^7*a[9]*
                    a[13]+156*a[1]^11*a[9]*a[13]+6*a[1]*a[7]*a[15]+42*a[1]^5*
                    a[7]*a[15]+210*a[1]^13*a[7]*a[15]+6*a[1]*a[5]*a[17]+20*
                    a[1]^3*a[5]*a[17]+272*a[1]^15*a[5]*a[17]+3*a[1]^2*
                    a[21]+21*a[1]^20*a[21])+b[23]);
    a[25]=(1/(a[1]+a[1]^25))*(-a[5]^6-35*a[1]^4*a[7]^4-9*a[1]*a[3]^8*a[9]-
            a[5]^4*(20*a[3]*a[7]+105*a[1]^2*a[3]*a[7]+20*a[1]*a[9]+126*a[1]^5*
                    a[9])-330*a[1]^4*a[3]^7*a[11]-110*a[1]^9*a[7]*a[9]*
              a[11]-36*a[1]^7*(a[9]^3+2*a[7]*a[9]*a[11])-78*a[1]^11*a[7]^2*
              a[13]-13*a[1]^12*a[13]^2-
            a[3]^6*(7*a[7]^2+1716*a[1]^7*a[13])-2*
              a[5]^3*(70*a[1]*a[3]^3*a[7]+15*a[1]*a[7]^2+70*a[1]^3*a[7]^2+15*
                    a[3]^2*a[9]+630*a[1]^4*a[3]^2*a[9]+30*a[1]*a[3]*a[11]+660*
                    a[1]^7*a[3]*a[11]+15*a[1]^2*a[13]+143*a[1]^10*a[13])-42*
              a[1]^5*a[7]*(a[9]*a[11]+a[7]*a[13])-11*a[1]^10*a[11]*a[15]-15*
              a[1]^14*a[11]*a[15]-21*a[1]*
              a[3]^5*(2*a[7]*a[9]+24*a[1]^2*a[7]*a[9]+143*a[1]^9*a[15])-9*
              a[1]^8*a[9]*a[17]-17*a[1]^16*a[9]*a[17]-35*
              a[3]^4*(18*a[1]^4*a[9]^2+3*a[1]^2*a[7]*a[11]+66*a[1]^6*a[7]*
                    a[11]+68*a[1]^13*a[17])-
            a[5]^2*(21*a[3]^5*a[7]+30*a[3]^2*a[7]^2+630*a[1]^2*a[3]^2*
                    a[7]^2+1260*a[1]^3*a[3]^4*a[9]+120*a[1]*a[3]*a[7]*
                    a[9]+420*a[1]^3*a[3]*a[7]*a[9]+1512*a[1]^5*a[3]*a[7]*
                    a[9]+30*a[1]^2*a[9]^2+252*a[1]^6*a[9]^2+20*a[3]^3*
                    a[11]+4620*a[1]^6*a[3]^3*a[11]+60*a[1]^2*a[7]*a[11]+105*
                    a[1]^4*a[7]*a[11]+495*a[1]^8*a[7]*a[11]+60*a[1]*a[3]^2*
                    a[13]+4290*a[1]^9*a[3]^2*a[13]+3*a[3]*a[15]+60*a[1]^2*
                    a[3]*a[15]+1365*a[1]^12*a[3]*a[15]+20*a[1]^3*a[17]+136*
                    a[1]^15*a[17])-7*a[1]^6*a[7]*a[19]-19*a[1]^18*a[7]*a[19]-
            a[3]^3*(210*a[1]^2*a[7]^3+504*a[1]^5*a[9]*a[11]+1320*a[1]^7*a[9]*
                    a[11]+140*a[1]^3*a[7]*a[13]+2860*a[1]^9*a[7]*a[13]+3*
                    a[19]+969*a[1]^16*a[19])-3*
              a[3]^2*(140*a[1]^3*a[7]^2*a[9]+252*a[1]^5*a[7]^2*a[9]+
                  a[11]^2+165*a[1]^8*a[11]^2+2*a[9]*a[13]+84*a[1]^6*a[9]*
                    a[13]+286*a[1]^10*a[9]*a[13]+2*a[7]*a[15]+35*a[1]^4*a[7]*
                    a[15]+455*a[1]^12*a[7]*a[15]+2*a[1]*a[21]+70*a[1]^19*
                    a[21])-a[
                5]*(110*a[1]^9*a[11]^2+252*a[1]^6*
                    a[9]*(a[7]^2+2*a[3]*a[11])+1716*a[1]^10*a[3]*a[7]*
                    a[13]+495*a[1]^8*(2*a[3]*a[9]*a[11]+13*a[3]^4*a[13])+72*
                    a[1]^7*(55*a[3]^2*a[7]*a[11]+a[9]*a[13])+210*a[1]^13*a[7]*
                    a[15]+156*a[1]^11*(a[9]*a[13]+35*a[3]^3*a[15])+42*
                    a[1]^5*(36*a[3]^2*a[9]^2+66*a[3]^5*a[11]+a[7]*a[15])+2040*
                    a[1]^14*a[3]^2*a[17]+
                  a[3]*(20*a[3]^2*a[7]*a[9]+6*a[9]*a[11]+5*a[3]^3*a[13]+6*
                          a[7]*a[13]+6*a[3]*a[17])+6*
                    a[1]^2*(42*a[3]^6*a[9]+70*a[3]^3*a[7]*a[9]+5*a[7]^2*
                          a[9]+10*a[3]*a[9]*a[11]+10*a[3]*a[7]*a[13]+5*a[3]^2*
                          a[17])+342*a[1]^17*a[3]*a[19]+2*a[1]*
                    a[3]*(105*a[3]^3*a[7]^2+10*a[7]^3+15*a[3]*a[9]^2+30*a[3]*
                          a[7]*a[11]+10*a[3]^2*a[15]+3*a[19])+10*
                    a[1]^3*(42*a[3]*a[7]^3+42*a[3]^2*a[7]*a[11]+
                        a[11]^2+2*a[9]*a[13]+2*a[7]*a[15]+2*a[3]*a[19])+21*
                    a[1]^20*a[21]+5*
                    a[1]^4*(504*a[3]^3*a[7]*a[9]+42*a[7]^2*a[9]+42*a[3]*a[7]*
                          a[13]+a[21]))-
            a[3]*(3*a[7]*a[9]^2+105*a[1]^4*a[7]*a[9]^2+504*a[1]^6*a[7]*
                    a[9]^2+3*a[7]^2*a[11]+210*a[1]^4*a[7]^2*a[11]+495*a[1]^8*
                    a[7]^2*a[11]+6*a[1]*a[11]*a[13]+110*a[1]^9*a[11]*
                    a[13]+156*a[1]^11*a[11]*a[13]+6*a[1]*a[9]*a[15]+72*a[1]^7*
                    a[9]*a[15]+210*a[1]^13*a[9]*a[15]+6*a[1]*a[7]*a[17]+42*
                    a[1]^5*a[7]*a[17]+272*a[1]^15*a[7]*a[17]+3*a[1]^2*
                    a[23]+23*a[1]^22*a[23])+b[25]);
    a[27]=(1/(a[1]+a[1]^27))*((-(5+21*a[1]^2))*a[5]^5*a[7]-
            a[3]^9*a[9]-105*a[1]^4*a[7]^3*a[9]-165*a[1]^3*a[3]^8*a[11]-10*
              a[1]*(2+33*a[1]^6)*a[5]^4*a[11]-55*a[1]^9*
              a[11]*(a[9]^2+2*a[7]*a[11])-156*a[1]^11*a[7]*a[9]*a[13]-12*
              a[3]^7*(6*a[1]*a[5]*a[9]+143*a[1]^6*a[13])-72*a[1]^7*
              a[9]*(a[9]*a[11]+a[7]*a[13])-105*a[1]^13*a[7]^2*a[15]-13*
              a[1]^12*a[13]*a[15]-15*a[1]^14*a[13]*a[15]-7*
              a[3]^6*(a[7]*a[9]+36*a[1]^2*a[7]*a[9]+330*a[1]^4*a[5]*a[11]+715*
                    a[1]^9*a[15])-
            a[1]*a[5]^3*(60*a[7]*a[9]+140*a[1]^2*a[7]*a[9]+504*a[1]^4*a[7]*
                    a[9]+30*a[1]*a[15]+455*a[1]^11*a[15])-21*a[1]^5*
              a[7]*(a[11]^2+2*a[9]*a[13]+2*a[7]*a[15])-11*a[1]^10*a[11]*
              a[17]-17*a[1]^16*a[11]*a[17]-2*
              a[3]^5*(21*a[5]*a[7]^2+378*a[1]^2*a[5]^2*a[9]+252*a[1]^3*
                    a[9]^2+21*a[1]*a[7]*a[11]+1386*a[1]^5*a[7]*a[11]+5148*
                    a[1]^7*a[5]*a[13]+3094*a[1]^12*a[17])-9*a[1]^8*a[9]*
              a[19]-19*a[1]^18*a[9]*a[19]-
            a[3]^4*(35*a[5]^3*a[7]+105*a[1]*a[7]^3+210*a[1]*a[5]*a[7]*
                    a[9]+2520*a[1]^3*a[5]*a[7]*a[9]+6930*a[1]^5*a[5]^2*
                    a[11]+630*a[1]^4*a[9]*a[11]+2310*a[1]^6*a[9]*a[11]+105*
                    a[1]^2*a[7]*a[13]+6435*a[1]^8*a[7]*a[13]+5*a[5]*
                    a[15]+15015*a[1]^10*a[5]*a[15]+3876*a[1]^15*a[19])-
            a[1]*a[5]^2*(20*a[7]^3+210*a[1]^2*a[7]^3+60*a[1]*a[9]*a[11]+252*
                    a[1]^5*a[9]*a[11]+495*a[1]^7*a[9]*a[11]+60*a[1]*a[7]*
                    a[13]+105*a[1]^3*a[7]*a[13]+858*a[1]^9*a[7]*a[13]+20*
                    a[1]^2*a[19]+171*a[1]^16*a[19])-21*a[1]^20*a[7]*a[21]-7*
              a[1]^6*a[7]*(12*a[7]^2*a[9]+a[21])-
            a[3]^3*(420*a[1]*a[5]^2*a[7]^2+1680*a[1]^3*a[5]^3*a[9]+420*a[1]^2*
                    a[7]^2*a[9]+1260*a[1]^4*a[7]^2*a[9]+10*a[5]*a[9]^2+2520*
                    a[1]^4*a[5]*a[9]^2+20*a[5]*a[7]*a[11]+420*a[1]^2*a[5]*
                    a[7]*a[11]+9240*a[1]^6*a[5]*a[7]*a[11]+1320*a[1]^7*
                    a[11]^2+20*a[5]^2*a[13]+12870*a[1]^8*a[5]^2*a[13]+504*
                    a[1]^5*a[9]*a[13]+2860*a[1]^9*a[9]*a[13]+140*a[1]^3*a[7]*
                    a[15]+5460*a[1]^11*a[7]*a[15]+20*a[1]*a[5]*a[17]+9520*
                    a[1]^13*a[5]*a[17]+3*a[21]+1330*a[1]^18*a[21])-
            a[1]^2*a[
                5]*(30*a[7]*a[9]^2+105*a[1]^2*a[7]*a[9]^2+504*a[1]^4*a[7]*
                    a[9]^2+30*a[7]^2*a[11]+210*a[1]^2*a[7]^2*a[11]+495*a[1]^6*
                    a[7]^2*a[11]+20*a[1]*a[11]*a[13]+110*a[1]^7*a[11]*
                    a[13]+156*a[1]^9*a[11]*a[13]+20*a[1]*a[9]*a[15]+72*a[1]^5*
                    a[9]*a[15]+210*a[1]^11*a[9]*a[15]+20*a[1]*a[7]*a[17]+42*
                    a[1]^3*a[7]*a[17]+272*a[1]^13*a[7]*a[17]+5*a[1]^2*
                    a[23]+23*a[1]^20*a[23])-
            a[3]^2*(60*a[5]^2*a[7]*a[9]+30*a[5]^3*a[11]+1980*
                    a[1]^7*(a[7]^2+2*a[5]*a[9])*a[11]+1512*a[1]^5*
                    a[9]*(a[7]*a[9]+a[5]*a[11])+8580*a[1]^9*a[5]*a[7]*
                    a[13]+495*a[1]^8*a[11]*a[13]+858*a[1]^10*a[11]*a[13]+210*
                    a[1]^3*a[7]*(a[9]^2+2*a[7]*a[11]+2*a[5]*a[13])+8190*
                    a[1]^11*a[5]^2*a[15]+1365*a[1]^12*a[9]*a[15]+84*
                    a[1]^6*(55*a[5]^3*a[11]+3*a[9]*a[15])+2040*a[1]^14*a[7]*
                    a[17]+105*a[1]^4*
                    a[7]*(36*a[5]^2*a[9]+a[17])+6*(a[11]*a[13]+a[9]*a[15]+
                        a[7]*a[17])+2907*a[1]^16*a[5]*a[19]+30*a[1]^2*
                    a[5]*(21*a[7]^3+21*a[5]*a[7]*a[9]+a[19])+2*
                    a[5]*(5*a[7]^3+3*a[19])+253*a[1]^21*a[23]+3*
                    a[1]*(35*a[5]^4*a[7]+20*a[5]*a[9]*a[11]+20*a[5]*a[7]*
                          a[13]+20*a[5]^2*a[15]+2*a[23]))-
            a[3]*(140*a[1]^3*a[7]^4+10*(2+63*a[1]^4)*a[5]^4*a[9]+
                  a[9]^3+6*a[7]*a[9]*a[11]+990*a[1]^8*a[7]*a[9]*a[11]+252*
                    a[1]^6*(a[9]^3+2*a[7]*a[9]*a[11])+3*a[7]^2*a[13]+858*
                    a[1]^10*a[7]^2*a[13]+156*a[1]^11*a[13]^2+10*
                    a[5]^3*(3*a[7]^2+42*a[1]^2*a[7]^2+6*a[1]*a[13]+286*a[1]^9*
                          a[13])+210*a[1]^4*a[7]*(a[9]*a[11]+a[7]*a[13])+110*
                    a[1]^9*a[11]*a[15]+210*a[1]^13*a[11]*a[15]+72*a[1]^7*a[9]*
                    a[17]+272*a[1]^15*a[9]*a[17]+3*
                    a[5]^2*(20*a[1]*a[9]^2+504*a[1]^5*a[9]^2+40*a[1]*a[7]*
                          a[11]+140*a[1]^3*a[7]*a[11]+1320*a[1]^7*a[7]*a[11]+
                        a[17]+20*a[1]^2*a[17]+680*a[1]^14*a[17])+42*a[1]^5*
                    a[7]*a[19]+342*a[1]^17*a[7]*a[19]+3*
                    a[1]*(a[13]^2+2*a[11]*a[15]+2*a[9]*a[17]+2*a[7]*a[19])+
                  a[5]*(60*a[1]*a[7]^2*a[9]+840*a[1]^3*a[7]^2*a[9]+1512*
                          a[1]^5*a[7]^2*a[9]+3*a[11]^2+30*a[1]^2*a[11]^2+990*
                          a[1]^8*a[11]^2+6*a[9]*a[13]+60*a[1]^2*a[9]*
                          a[13]+504*a[1]^6*a[9]*a[13]+1716*a[1]^10*a[9]*
                          a[13]+6*a[7]*a[15]+60*a[1]^2*a[7]*a[15]+210*a[1]^4*
                          a[7]*a[15]+2730*a[1]^12*a[7]*a[15]+6*a[1]*a[21]+20*
                          a[1]^3*a[21]+420*a[1]^19*a[21])+3*a[1]^2*a[25]+25*
                    a[1]^24*a[25])+b[27]);
    a[29]=(1/(a[1]+a[1]^29))*((-(5+126*a[1]^4))*a[5]^5*a[9]-55*a[1]^2*a[3]^9*
              a[11]-105*a[1]^4*a[7]^2*(a[9]^2+a[7]*a[11])-78*
              a[1]^11*(a[9]^2+2*a[7]*a[11])*a[13]-9*
              a[3]^8*(a[5]*a[9]+143*a[1]^5*a[13])-5*
              a[5]^4*(2*a[7]^2+21*a[1]^2*a[7]^2+4*a[1]*a[13]+143*a[1]^9*
                    a[13])-110*a[1]^9*a[11]*(a[9]*a[11]+a[7]*a[13])-210*
              a[1]^13*a[7]*a[9]*a[15]-15*a[1]^14*a[15]^2-3*
              a[3]^7*(24*a[1]*a[7]*a[9]+440*a[1]^3*a[5]*a[11]+2145*a[1]^8*
                    a[15])-36*a[1]^7*
              a[9]*(a[11]^2+2*a[9]*a[13]+2*a[7]*a[15])-136*a[1]^15*a[7]^2*
              a[17]-13*a[1]^12*a[13]*a[17]-17*a[1]^16*a[13]*a[17]-7*
              a[3]^6*(36*a[1]*a[5]^2*a[9]+36*a[1]^2*a[9]^2+
                  a[7]*a[11]+330*a[1]^4*a[7]*a[11]+1716*a[1]^6*a[5]*
                    a[13]+1768*a[1]^11*a[17])-2*a[1]*
              a[5]^3*(15*a[9]^2+252*a[1]^4*a[9]^2+30*a[7]*a[11]+70*a[1]^2*
                    a[7]*a[11]+660*a[1]^6*a[7]*a[11]+15*a[1]*a[17]+340*
                    a[1]^13*a[17])-42*a[1]^5*
              a[7]*(a[11]*a[13]+a[9]*a[15]+a[7]*a[17])-11*a[1]^10*a[11]*
              a[19]-19*a[1]^18*a[11]*a[19]-3*
              a[3]^5*(7*a[7]^3+14*a[5]*a[7]*a[9]+504*a[1]^2*a[5]*a[7]*
                    a[9]+2310*a[1]^4*a[5]^2*a[11]+168*a[1]^3*a[9]*a[11]+924*
                    a[1]^5*a[9]*a[11]+14*a[1]*a[7]*a[13]+3432*a[1]^7*a[7]*
                    a[13]+10010*a[1]^9*a[5]*a[15]+3876*a[1]^14*a[19])-21*
              a[1]^20*a[9]*a[21]-5*
              a[3]^4*(21*a[5]^2*a[7]^2+252*a[1]^2*a[5]^3*a[9]+42*a[1]*a[7]^2*
                    a[9]+252*a[1]^3*a[7]^2*a[9]+504*a[1]^3*a[5]*a[9]^2+42*
                    a[1]*a[5]*a[7]*a[11]+2772*a[1]^5*a[5]*a[7]*a[11]+462*
                    a[1]^6*a[11]^2+5148*a[1]^7*a[5]^2*a[13]+126*a[1]^4*a[9]*
                    a[13]+1287*a[1]^8*a[9]*a[13]+21*a[1]^2*a[7]*a[15]+3003*
                    a[1]^10*a[7]*a[15]+
                  a[5]*a[17]+6188*a[1]^12*a[5]*a[17]+1197*a[1]^17*a[21])-
            a[1]*a[5]^2*(60*a[7]^2*a[9]+420*a[1]^2*a[7]^2*a[9]+756*a[1]^4*
                    a[7]^2*a[9]+30*a[1]*a[11]^2+495*a[1]^7*a[11]^2+60*a[1]*
                    a[9]*a[13]+252*a[1]^5*a[9]*a[13]+858*a[1]^9*a[9]*a[13]+60*
                    a[1]*a[7]*a[15]+105*a[1]^3*a[7]*a[15]+1365*a[1]^11*a[7]*
                    a[15]+20*a[1]^2*a[21]+210*a[1]^18*a[21])-3*
              a[1]^8*(55*a[7]^3*a[11]+3*a[9]*a[21])-23*a[1]^22*a[7]*a[23]-7*
              a[1]^6*a[7]*(36*a[7]*a[9]^2+a[23])-
            a[3]^3*(35*a[5]^4*a[7]+420*a[1]*a[5]*a[7]^3+420*a[1]*a[5]^2*a[7]*
                    a[9]+5040*a[1]^3*a[5]^2*a[7]*a[9]+210*a[1]^2*a[7]*
                    a[9]^2+2520*a[1]^4*a[7]*a[9]^2+9240*a[1]^5*a[5]^3*
                    a[11]+420*a[1]^2*a[7]^2*a[11]+4620*a[1]^6*a[7]^2*a[11]+20*
                    a[5]*a[9]*a[11]+2520*a[1]^4*a[5]*a[9]*a[11]+9240*a[1]^6*
                    a[5]*a[9]*a[11]+20*a[5]*a[7]*a[13]+420*a[1]^2*a[5]*a[7]*
                    a[13]+25740*a[1]^8*a[5]*a[7]*a[13]+1320*a[1]^7*a[11]*
                    a[13]+2860*a[1]^9*a[11]*a[13]+20*a[5]^2*a[15]+30030*
                    a[1]^10*a[5]^2*a[15]+504*a[1]^5*a[9]*a[15]+5460*a[1]^11*
                    a[9]*a[15]+140*a[1]^3*a[7]*a[17]+9520*a[1]^13*a[7]*
                    a[17]+20*a[1]*a[5]*a[19]+15504*a[1]^15*a[5]*a[19]+3*
                    a[23]+1771*a[1]^20*a[23])-
            a[1]*a[5]*(5*a[7]^4+140*a[1]^2*a[7]^4+10*a[1]*a[9]^3+252*a[1]^5*
                    a[9]^3+60*a[1]*a[7]*a[9]*a[11]+210*a[1]^3*a[7]*a[9]*
                    a[11]+504*a[1]^5*a[7]*a[9]*a[11]+990*a[1]^7*a[7]*a[9]*
                    a[11]+30*a[1]*a[7]^2*a[13]+210*a[1]^3*a[7]^2*a[13]+858*
                    a[1]^9*a[7]^2*a[13]+10*a[1]^2*a[13]^2+156*a[1]^10*
                    a[13]^2+20*a[1]^2*a[11]*a[15]+110*a[1]^8*a[11]*a[15]+210*
                    a[1]^12*a[11]*a[15]+20*a[1]^2*a[9]*a[17]+72*a[1]^6*a[9]*
                    a[17]+272*a[1]^14*a[9]*a[17]+20*a[1]^2*a[7]*a[19]+42*
                    a[1]^4*a[7]*a[19]+342*a[1]^16*a[7]*a[19]+5*a[1]^3*
                    a[25]+25*a[1]^23*a[25])-3*
              a[3]^2*(1320*a[1]^7*a[11]*(a[7]*a[9]+a[5]*a[11])+10*
                    a[5]^2*(a[9]^2+2*a[7]*a[11])+10*a[5]^3*a[13]+1430*
                    a[1]^9*(a[7]^2+2*a[5]*a[9])*a[13]+
                  a[13]^2+286*a[1]^10*a[13]^2+252*a[1]^5*
                    a[9]*(a[9]^2+2*a[7]*a[11]+2*a[5]*a[13])+5460*a[1]^11*a[5]*
                    a[7]*a[15]+2*a[11]*a[15]+455*a[1]^12*a[11]*a[15]+140*
                    a[1]^3*(3*a[5]^4*a[9]+a[7]*a[9]*a[11]+a[7]^2*a[13]+
                        a[5]*a[7]*a[15])+165*
                    a[1]^8*(26*a[5]^3*a[13]+a[11]*a[15])+4760*a[1]^13*a[5]^2*
                    a[17]+2*a[9]*a[17]+680*a[1]^14*a[9]*a[17]+84*
                    a[1]^6*(55*a[5]^2*a[7]*a[11]+a[9]*a[17])+2*a[7]*a[19]+969*
                    a[1]^16*a[7]*a[19]+35*
                    a[1]^4*(36*a[5]*a[7]^2*a[9]+36*a[5]^2*a[9]^2+
                        a[7]*a[19])+1330*a[1]^18*a[5]*a[21]+2*
                    a[5]*(5*a[7]^2*a[9]+a[21])+10*
                    a[1]^2*(7*a[7]^4+42*a[5]*a[7]^2*a[9]+21*a[5]^2*a[7]*a[11]+
                        a[5]*a[21])+100*a[1]^23*a[25]+2*
                    a[1]*(70*a[5]^3*a[7]^2+5*a[5]*a[11]^2+10*a[5]*a[9]*
                          a[13]+10*a[5]*a[7]*a[15]+10*a[5]^2*a[17]+a[25]))-
            a[3]*(60*a[5]^3*a[7]*a[9]+20*a[5]^4*a[11]+1716*
                    a[1]^10*(a[7]*a[9]+a[5]*a[11])*a[13]+495*a[1]^8*
                    a[11]*(a[9]^2+2*a[7]*a[11]+2*a[5]*a[13])+1365*
                    a[1]^12*(a[7]^2+2*a[5]*a[9])*a[15]+210*a[1]^13*a[13]*
                    a[15]+156*a[1]^11*(35*a[5]^3+a[13])*
                    a[15]+3*(a[9]^2*a[11]+a[7]*a[11]^2+2*a[7]*a[9]*a[13]+
                        a[7]^2*a[15])+42*
                    a[1]^6*(55*a[5]^4*a[11]+12*a[9]^2*a[11]+12*a[7]*a[9]*
                          a[13]+12*a[5]*a[9]*a[15])+4080*a[1]^14*a[5]*a[7]*
                    a[17]+272*a[1]^15*a[11]*a[17]+105*a[1]^4*
                    a[7]*(24*a[5]^3*a[9]+
                        a[11]^2+2*a[9]*a[13]+2*a[7]*a[15]+2*a[5]*a[17])+6*
                    a[5]*(a[11]*a[13]+a[9]*a[15]+a[7]*a[17])+110*
                    a[1]^9*(78*a[5]^2*a[7]*a[13]+a[11]*a[17])+2907*a[1]^16*
                    a[5]^2*a[19]+342*a[1]^17*a[9]*a[19]+
                  a[5]^2*(20*a[7]^3+3*a[19])+72*
                    a[1]^7*(55*a[5]*a[7]^2*a[11]+55*a[5]^2*a[9]*a[11]+
                        a[9]*a[19])+420*a[1]^19*a[7]*a[21]+42*
                    a[1]^5*(12*a[7]^3*a[9]+72*a[5]*a[7]*a[9]^2+36*a[5]^2*a[9]*
                          a[11]+a[7]*a[21])+506*a[1]^21*a[5]*a[23]+20*
                    a[1]^3*(21*a[7]^3*a[9]+21*a[5]*a[7]*a[9]^2+42*a[5]*a[7]^2*
                          a[11]+21*a[5]^2*a[7]*a[13]+a[5]*a[23])+6*
                    a[1]*(7*a[5]^5*a[7]+10*a[5]*a[7]*a[9]^2+10*a[5]*a[7]^2*
                          a[11]+20*a[5]^2*a[9]*a[11]+20*a[5]^2*a[7]*a[13]+10*
                          a[5]^3*a[15]+a[13]*a[15]+a[11]*a[17]+a[9]*a[19]+
                        a[7]*a[21]+a[5]*a[23])+27*a[1]^26*a[27]+3*
                    a[1]^2*(210*a[5]^2*a[7]^3+140*a[5]^3*a[7]*a[9]+20*a[5]*
                          a[11]*a[13]+20*a[5]*a[9]*a[15]+20*a[5]*a[7]*
                          a[17]+20*a[5]^2*a[19]+a[27]))+b[29])*
        SetAccuracy[1,0.01];
    Sum[x^i*a[i],{i,1,29,2}]]

HalfwaySeries[func_,x_]:=
  Module[{a,funcs,b},
    funcs=Series[func,{x,0,29}];
    Do[b[i]=SeriesCoefficient[funcs,i],{i,1,29}];
    a[1]= Sqrt[b[1]];
  a[2] = b[2]/(a[1] + a[1]^2);
  a[3] = (-2*a[1]*a[2]^2 + b[3])/
      (a[1] + a[1]^3);
a[4] = (-a[2]^3 - a[1]*(2 + 3*a[1])*
        a[2]*a[3] + b[4])/(a[1] + 
       a[1]^4);
    a[5] = (1/(a[1] + a[1]^5))*
      ((-(2 + 3*a[1]))*a[2]^2*a[3] - 
       3*a[1]^2*a[3]^2 - 2*a[1]*
        (1 + 2*a[1]^2)*a[2]*a[4] + 
       b[5]);
    a[6] = -((1/(a[1] + a[1]^6))*
       (a[2]^3*a[3] + 2*(1 + 3*a[1]^2)*
         a[2]^2*a[4] + 3*a[1]^2*a[3]*
         a[4] + 4*a[1]^3*a[3]*a[4] + 
        a[2]*((1 + 6*a[1])*a[3]^2 + 
          a[1]*(2 + 5*a[1]^3)*a[5]) - 
        b[6]));
    a[7] = -((1/(a[1] + a[1]^7))*
       (3*a[1]*a[3]^3 + 4*a[1]*a[2]^3*
         a[4] + 4*a[1]^3*a[4]^2 + 
        3*a[1]^2*a[3]*a[5] + 
        5*a[1]^4*a[3]*a[5] + 
        a[2]^2*(3*a[3]^2 + 
          2*(1 + 5*a[1]^3)*a[5]) + 
        2*a[2]*((1 + 3*a[1] + 6*a[1]^2)*
           a[3]*a[4] + a[1]*
           (1 + 3*a[1]^4)*a[6]) - 
        b[7]));
     a[8] = -((1/(a[1] + a[1]^8))*
       (a[2]^4*a[4] + 6*a[1]*a[3]^2*
         a[4] + 10*a[1]^2*a[2]^3*a[5] + 
        4*a[1]^3*a[4]*a[5] + 
        5*a[1]^4*a[4]*a[5] + 
        6*a[1]^5*a[3]*a[6] + 
        3*a[1]^2*a[3]*(2*a[3]*a[4] + 
          a[6]) + a[2]^2*(3*(1 + 4*a[1])*
           a[3]*a[4] + (2 + 15*a[1]^4)*
           a[6]) + a[2]*(3*a[3]^3 + 
          (1 + 12*a[1]^2)*a[4]^2 + 
          2*(1 + 3*a[1] + 10*a[1]^3)*
           a[3]*a[5] + a[1]*
           (2 + 7*a[1]^5)*a[7]) - 
        b[8]));
     a[9] = -((1/(a[1] + a[1]^9))*
       (a[3]^4 + 2*a[2]*a[4]*a[5] + 
        12*a[1]^2*a[2]*a[4]*a[5] + 
        5*a[1]^4*a[5]^2 + 2*a[3]^2*
         (3*(1 + 2*a[1])*a[2]*a[4] + 
          a[1]*(3 + 5*a[1]^2)*a[5]) + 
        4*a[1]^3*(5*a[2]*a[4]*a[5] + 
          5*a[2]^3*a[6] + a[4]*a[6]) + 
        2*a[2]^2*a[7] + 3*a[1]^5*
         (2*a[4]*a[6] + 7*a[2]^2*a[7]) + 
        a[3]*(4*a[2]^3*a[4] + 
          3*(1 + 10*a[1]^2)*a[2]^2*
           a[5] + 2*(1 + 3*a[1] + 
            15*a[1]^4)*a[2]*a[6] + 
          a[1]*(3*(1 + 4*a[1])*a[4]^2 + 
            a[1]*(3 + 7*a[1]^4)*a[7])) + 
        8*a[1]^7*a[2]*a[8] + 
        a[1]*a[2]*(12*a[2]*a[4]^2 + 
          5*a[2]^3*a[5] + 2*a[8]) - 
        b[9]));
     a[10] = -((1/(a[1] + a[1]^10))*
       ((3 + 4*a[1])*a[3]^3*a[4] + 
        6*a[1]^2*a[4]^3 + a[2]^5*a[5] + 
        15*a[1]^2*a[2]^4*a[6] + 
        3*a[1]*(2 + 5*a[1]^3)*a[3]^2*
         a[6] + 5*a[1]^4*a[5]*a[6] + 
        6*a[1]^5*a[5]*a[6] + 
        4*a[1]^3*a[4]*a[7] + 
        7*a[1]^6*a[4]*a[7] + 
        a[2]^3*(4*a[4]^2 + 20*a[1]*a[3]*
           a[5] + 35*a[1]^4*a[7]) + 
        a[1]*a[3]*(2*(3 + 6*a[1] + 
            10*a[1]^2)*a[4]*a[5] + 
          a[1]*(3 + 8*a[1]^5)*a[8]) + 
        a[2]^2*(6*a[3]^2*a[4] + 
          3*(1 + 20*a[1]^3)*a[3]*a[6] + 
          2*(6*a[1]*a[4]*a[5] + 
            15*a[1]^2*a[4]*a[5] + a[8] + 
            14*a[1]^6*a[8])) + 
        a[2]*(6*(1 + 5*a[1]^2)*a[3]^2*
           a[5] + (1 + 20*a[1]^3)*
           a[5]^2 + 2*a[4]*a[6] + 
          12*a[1]^2*a[4]*a[6] + 
          30*a[1]^4*a[4]*a[6] + 
          a[3]*(3*(1 + 8*a[1])*a[4]^2 + 
            2*(1 + 3*a[1] + 21*a[1]^5)*
             a[7]) + 2*a[1]*a[9] + 
          9*a[1]^8*a[9]) - b[10]));
       a[11] = -((1/(a[1] + a[1]^11))*
       ((3 + 10*a[1]^2)*a[3]^3*a[5] + 
        12*a[1]^2*a[4]^2*a[5] + 
        10*a[1]^3*a[4]^2*a[5] + 
        6*a[1]*a[2]^5*a[6] + 
        6*a[1]^5*a[6]^2 + 5*a[1]^4*a[5]*
         a[7] + 7*a[1]^6*a[5]*a[7] + 
        5*a[2]^4*(a[3]*a[5] + 
          7*a[1]^3*a[7]) + 3*a[3]^2*
         ((1 + 4*a[1])*a[4]^2 + 
          a[1]*(2 + 7*a[1]^4)*a[7]) + 
        4*a[1]^3*a[4]*a[8] + 
        8*a[1]^7*a[4]*a[8] + 
        4*a[2]^3*((1 + 5*a[1])*a[4]*
           a[5] + 15*a[1]^2*a[3]*a[6] + 
          14*a[1]^5*a[8]) + 
        a[2]^2*(30*a[1]*a[3]^2*a[5] + 
          3*a[3]*(4*a[4]^2 + a[7] + 
            35*a[1]^4*a[7]) + 
          2*(15*a[1]^2*a[5]^2 + 
            6*a[1]*a[4]*a[6] + 30*a[1]^3*
             a[4]*a[6] + a[9] + 
            18*a[1]^7*a[9])) + 
        a[1]*a[3]*((3 + 20*a[1]^2)*
           a[5]^2 + 3*(2*(1 + 2*a[1] + 
             5*a[1]^3)*a[4]*a[6] + 
            a[1]*(1 + 3*a[1]^6)*a[9])) + 
        2*a[2]*(2*a[3]^3*a[4] + 
          3*(1 + 10*a[1]^3)*a[3]^2*
           a[6] + a[5]*a[6] + 10*a[1]^3*
           a[5]*a[6] + 15*a[1]^4*a[5]*
           a[6] + a[4]*a[7] + 
          6*a[1]^2*a[4]*a[7] + 
          21*a[1]^5*a[4]*a[7] + 
          a[3]*(3*(1 + 4*a[1] + 10*a[1]^
             2)*a[4]*a[5] + 
            (1 + 3*a[1] + 28*a[1]^6)*
             a[8]) + 5*a[1]^9*a[10] + 
          a[1]*(6*a[4]^3 + a[10])) - 
        b[11]));
     a[12] = -((1/(a[1] + a[1]^12))*
       (a[3]^4*a[4] + 6*a[1]^2*a[4]*
         a[5]^2 + 20*a[1]^3*a[4]*
         a[5]^2 + a[2]^6*a[6] + 
        12*a[1]^2*a[4]^2*a[6] + 
        15*a[1]^4*a[4]^2*a[6] + 
        a[3]^3*(20*a[1]*a[2]*a[5] + 
          3*a[6] + 20*a[1]^3*a[6]) + 
        21*a[1]^2*a[2]^5*a[7] + 
        6*a[1]^5*a[6]*a[7] + 
        7*a[1]^6*a[6]*a[7] + 
        5*a[1]^4*a[5]*a[8] + 
        8*a[1]^7*a[5]*a[8] + 
        5*a[2]^4*(a[4]*a[5] + 14*a[1]^4*
           a[8]) + a[3]^2*
         (10*a[2]^3*a[5] + 
          6*(1 + 2*a[1] + 5*a[1]^2)*a[4]*
           a[5] + 90*a[1]^2*a[2]^2*
           a[6] + 3*a[2]*(4*a[4]^2 + 
            (2 + 35*a[1]^4)*a[7]) + 
          2*a[1]*(3 + 14*a[1]^5)*a[8]) + 
        4*a[1]^3*a[4]*a[9] + 
        9*a[1]^8*a[4]*a[9] + 
        4*a[2]^3*(5*a[1]*a[5]^2 + 
          a[4]*a[6] + 15*a[1]^2*a[4]*
           a[6] + 21*a[1]^6*a[9]) + 
        a[2]^2*(6*a[4]^3 + 30*a[1]^2*
           a[5]*a[6] + 60*a[1]^3*a[5]*
           a[6] + 3*a[1]*(4 + 35*a[1]^3)*
           a[4]*a[7] + 2*a[10] + 
          45*a[1]^8*a[10]) + 
        a[3]*((1 + 12*a[1])*a[4]^3 + 
          30*a[1]*a[2]^4*a[6] + 
          140*a[1]^3*a[2]^3*a[7] + 
          6*a[4]*(2*(1 + 5*a[1])*a[2]^2*
             a[5] + (1 + 4*a[1] + 
             20*a[1]^3)*a[2]*a[6] + 
            a[1]*(1 + 2*a[1] + 7*a[1]^4)*
             a[7]) + 3*(1 + 56*a[1]^5)*
           a[2]^2*a[8] + a[2]*
           ((3 + 60*a[1]^2)*a[5]^2 + 
            2*(1 + 3*a[1] + 36*a[1]^7)*
             a[9]) + a[1]*
           (2*(3 + 10*a[1]^2 + 15*a[1]^
             3)*a[5]*a[6] + a[1]*
             (3 + 10*a[1]^7)*a[10])) + 
        a[2]*(a[6]^2 + 30*a[1]^4*
           a[6]^2 + 2*a[5]*a[7] + 
          20*a[1]^3*a[5]*a[7] + 
          42*a[1]^5*a[5]*a[7] + 
          2*a[4]*a[8] + 56*a[1]^6*a[4]*
           a[8] + 6*a[1]^2*a[4]*
           (5*a[4]*a[5] + 2*a[8]) + 
          11*a[1]^10*a[11] + 2*a[1]*
           (12*a[4]^2*a[5] + a[11])) - 
        b[12]));
     a[13] = -((1/(a[1] + a[1]^13))*
       (5*a[1]*a[3]^4*a[5] + 
        12*a[2]^2*a[4]^2*a[5] + 
        5*a[2]^4*a[5]^2 + 4*a[2]^3*a[4]*
         a[7] + 2*a[2]*a[6]*a[7] + 
        a[3]^3*(4*a[4]^2 + 10*a[2]^2*
           a[5] + 60*a[1]^2*a[2]*a[6] + 
          (3 + 35*a[1]^4)*a[7]) + 
        2*a[2]*a[5]*a[8] + 7*a[1]^6*
         (a[7]^2 + 8*a[2]*a[5]*a[8]) + 
        2*a[2]*a[4]*a[9] + 9*a[1]^8*a[5]*
         a[9] + 3*a[1]^5*
         (7*a[4]^2*a[7] + 14*a[2]*a[6]*
           a[7] + 56*a[2]^2*a[4]*a[8] + 
          2*a[6]*a[8] + 42*a[2]^4*
           a[9]) + 5*a[1]^4*
         (6*a[4]*a[5]*a[6] + 21*a[2]^2*
           a[5]*a[7] + 6*a[2]*a[6]*
           a[7] + a[5]*a[9]) + 
        6*a[1]^2*(10*a[2]^3*a[5]*a[6] + 
          5*a[2]^2*a[5]*a[7] + 
          2*a[4]*(a[5]*a[6] + 
            a[4]*a[7]) + 2*a[2]*a[4]*
           (5*a[5]^2 + a[9])) + 
        3*a[3]^2*((1 + 10*a[1]^2)*
           a[5]^2 + 20*a[1]*a[2]^3*
           a[6] + 70*a[1]^3*a[2]^2*
           a[7] + 2*a[2]*(2*(1 + 5*a[1])*
             a[4]*a[5] + (1 + 28*a[1]^5)*
             a[8]) + 
          2*((1 + 2*a[1] + 10*a[1]^3)*
             a[4]*a[6] + a[1]*
             (1 + 6*a[1]^6)*a[9])) + 
        8*a[1]^7*(a[6]*a[8] + 
          9*a[2]*a[4]*a[9] + 15*a[2]^3*
           a[10]) + 2*a[1]^3*(5*a[5]^3 + 
          30*a[2]*a[4]^2*a[6] + 
          30*a[2]^2*a[6]^2 + 70*a[2]^3*
           a[4]*a[7] + 28*a[2]^5*a[8] + 
          10*a[5]*(a[4]*a[6] + 
            a[2]*a[8]) + 2*a[4]*a[10]) + 
        2*a[2]^2*a[11] + 5*a[1]^9*
         (2*a[4]*a[10] + 11*a[2]^2*
           a[11]) + a[3]*
         (3*(1 + 8*a[1] + 10*a[1]^2)*
           a[4]^2*a[5] + 6*a[2]^5*a[6] + 
          105*a[1]^2*a[2]^4*a[7] + 
          2*a[1]*(3 + 6*a[1] + 
            28*a[1]^5)*a[4]*a[8] + 
          20*a[2]^3*(a[4]*a[5] + 
            14*a[1]^4*a[8]) + 
          3*a[2]^2*(20*a[1]*a[5]^2 + 
            4*a[4]*a[6] + 60*a[1]^2*a[4]*
             a[6] + a[9] + 84*a[1]^6*
             a[9]) + 2*a[2]*(6*a[4]^3 + 
            3*(1 + 10*a[1]^2 + 20*a[1]^
             3)*a[5]*a[6] + 
            3*(1 + 4*a[1] + 35*a[1]^4)*
             a[4]*a[7] + (1 + 3*a[1] + 
             45*a[1]^8)*a[10]) + 
          a[1]*((3 + 30*a[1]^3)*a[6]^2 + 
            2*(3 + 10*a[1]^2 + 21*a[1]^
             4)*a[5]*a[7] + a[1]*
             (3 + 11*a[1]^8)*a[11])) + 
        12*a[1]^11*a[2]*a[12] + 
        a[1]*(4*a[4]^4 + 20*a[2]^3*a[5]*
           a[6] + 6*a[2]*a[4]^2*
           (5*a[2]*a[5] + 4*a[6]) + 
          7*a[2]^6*a[7] + 6*a[2]*a[4]*
           (2*a[5]^2 + 5*a[2]^3*a[6] + 
            2*a[2]*a[8]) + 2*a[2]*
           a[12]) - b[13]));
        a[14] = -((1/(a[1] + a[1]^14))*
       (12*a[1]*a[4]^3*a[5] + 
        10*a[1]^2*a[4]^3*a[5] + 
        20*a[1]^3*a[5]^2*a[6] + 
        15*a[1]^4*a[5]^2*a[6] + 
        6*a[1]^2*a[4]*a[6]^2 + 
        30*a[1]^4*a[4]*a[6]^2 + 
        5*a[3]^4*(a[2]*a[5] + 
          3*a[1]^2*a[6]) + a[2]^7*a[7] + 
        12*a[1]^2*a[4]*a[5]*a[7] + 
        20*a[1]^3*a[4]*a[5]*a[7] + 
        42*a[1]^5*a[4]*a[5]*a[7] + 
        28*a[1]^2*a[2]^6*a[8] + 
        12*a[1]^2*a[4]^2*a[8] + 
        28*a[1]^6*a[4]^2*a[8] + 
        7*a[1]^6*a[7]*a[8] + 
        8*a[1]^7*a[7]*a[8] + 
        a[3]^3*(4*(1 + 5*a[1])*a[4]*
           a[5] + 60*a[1]*a[2]^2*a[6] + 
          140*a[1]^3*a[2]*a[7] + 
          3*a[8] + 56*a[1]^5*a[8]) + 
        6*a[1]^5*a[6]*a[9] + 
        9*a[1]^8*a[6]*a[9] + 
        6*a[2]^5*(a[4]*a[6] + 21*a[1]^4*
           a[9]) + 5*a[1]^4*a[5]*a[10] + 
        10*a[1]^9*a[5]*a[10] + 
        3*a[3]^2*(2*a[4]^3 + 5*a[2]^4*
           a[6] + 2*a[5]*a[6] + 
          20*a[1]^3*a[5]*a[6] + 
          a[4]*(10*a[2]^2*a[5] + 
            4*(1 + 15*a[1]^2)*a[2]*
             a[6] + (2 + 4*a[1] + 
             35*a[1]^4)*a[7]) + 
          10*a[1]^2*(a[5]*a[6] + 
            7*a[2]^3*a[7]) + 140*a[1]^4*
           a[2]^2*a[8] + 2*a[2]*a[9] + 
          84*a[1]^6*a[2]*a[9] + 
          15*a[1]^8*a[10] + 2*a[1]*
           (10*a[2]*a[5]^2 + a[10])) + 
        5*a[2]^4*((1 + 6*a[1])*a[5]*
           a[6] + 21*a[1]^2*(a[4]*a[7] + 
            2*a[1]^4*a[10])) + 
        4*a[1]^3*a[4]*a[11] + 
        11*a[1]^10*a[4]*a[11] + 
        a[2]^3*(10*a[4]^2*a[5] + 
          4*(1 + 70*a[1]^4)*a[4]*a[8] + 
          5*a[1]*(12*a[1]*a[6]^2 + 
            4*a[5]*a[7] + 28*a[1]^2*a[5]*
             a[7] + 33*a[1]^7*a[11])) + 
        a[2]^2*(6*(2 + 15*a[1]^2)*a[4]^2*
           a[6] + 60*a[1]^3*a[6]*a[7] + 
          105*a[1]^4*a[6]*a[7] + 
          30*a[1]^2*a[5]*a[8] + 
          168*a[1]^5*a[5]*a[8] + 
          6*a[4]*((1 + 10*a[1])*a[5]^2 + 
            2*a[1]*(1 + 21*a[1]^5)*
             a[9]) + 2*a[12] + 
          66*a[1]^10*a[12]) + 
        a[3]*(3*(1 + 8*a[1] + 20*a[1]^3)*
           a[4]^2*a[6] + 42*a[1]*a[2]^5*
           a[7] + 280*a[1]^3*a[2]^4*
           a[8] + 4*a[2]^3*(5*a[5]^2 + 
            30*a[1]*a[4]*a[6] + 
            126*a[1]^5*a[9]) + 
          3*a[4]*((1 + 4*a[1] + 20*a[1]^
             2)*a[5]^2 + 2*a[1]*
             (1 + 2*a[1] + 12*a[1]^6)*
             a[9]) + 3*a[2]^2*
           (20*a[1]*a[5]*a[6] + 
            60*a[1]^2*a[5]*a[6] + 
            4*a[4]*a[7] + 140*a[1]^3*
             a[4]*a[7] + a[10] + 
            120*a[1]^7*a[10]) + 
          a[2]*(12*(2 + 5*a[1])*a[4]^2*
             a[5] + 3*(1 + 40*a[1]^3)*
             a[6]^2 + 6*(1 + 4*a[1] + 
             56*a[1]^5)*a[4]*a[8] + 
            2*(3*(1 + 10*a[1]^2 + 
             35*a[1]^4)*a[5]*a[7] + 
             (1 + 3*a[1] + 55*a[1]^9)*a[
             11])) + a[1]*
           (6*(1 + 5*a[1]^3 + 7*a[1]^4)*
             a[6]*a[7] + 
            2*(3 + 10*a[1]^2 + 28*a[1]^
             5)*a[5]*a[8] + 3*a[1]*
             (1 + 4*a[1]^9)*a[12])) + 
        a[2]*(4*a[4]^4 + 30*a[1]^2*
           a[5]^3 + 3*a[1]*(8 + 
            35*a[1]^3)*a[4]^2*a[7] + 
          a[7]^2 + 42*a[1]^5*a[7]^2 + 
          2*a[6]*a[8] + 30*a[1]^4*a[6]*
           a[8] + 56*a[1]^6*a[6]*a[8] + 
          2*a[5]*a[9] + 20*a[1]^3*a[5]*
           a[9] + 72*a[1]^7*a[5]*a[9] + 
          2*a[4]*(12*a[1]*a[5]*a[6] + 
            60*a[1]^3*a[5]*a[6] + 
            a[10] + 45*a[1]^8*a[10] + 
            6*a[1]^2*(5*a[5]*a[6] + 
             a[10])) + 2*a[1]*a[13] + 
          13*a[1]^12*a[13]) - b[14]));
       a[15] = -((1/(a[1] + a[1]^15))*
       (a[3]^5*a[5] + 12*a[1]*a[4]^2*
         a[5]^2 + 30*a[1]^2*a[4]^2*
         a[5]^2 + 12*a[1]*a[4]^3*a[6] + 
        20*a[1]^3*a[4]^3*a[6] + 
        10*a[1]^3*a[5]*a[6]^2 + 
        30*a[1]^4*a[5]*a[6]^2 + 
        20*a[1]^3*a[5]^2*a[7] + 
        21*a[1]^5*a[5]^2*a[7] + 
        12*a[1]^2*a[4]*a[6]*a[7] + 
        30*a[1]^4*a[4]*a[6]*a[7] + 
        42*a[1]^5*a[4]*a[6]*a[7] + 
        5*a[3]^4*(6*a[1]*a[2]*a[6] + 
          7*a[1]^3*a[7]) + 8*a[1]*a[2]^7*
         a[8] + 12*a[1]^2*a[4]*a[5]*
         a[8] + 20*a[1]^3*a[4]*a[5]*
         a[8] + 56*a[1]^6*a[4]*a[5]*
         a[8] + 8*a[1]^7*a[8]^2 + 
        84*a[1]^3*a[2]^6*a[9] + 
        12*a[1]^2*a[4]^2*a[9] + 
        36*a[1]^7*a[4]^2*a[9] + 
        7*a[1]^6*a[7]*a[9] + 
        9*a[1]^8*a[7]*a[9] + 
        a[3]^3*(20*a[1]*a[5]^2 + 
          20*a[2]^3*a[6] + 4*a[4]*a[6] + 
          60*a[1]^2*a[4]*a[6] + 
          210*a[1]^2*a[2]^2*a[7] + 
          20*a[2]*(a[4]*a[5] + 14*a[1]^4*
             a[8]) + 3*a[9] + 84*a[1]^6*
           a[9]) + 6*a[1]^5*a[6]*a[10] + 
        10*a[1]^9*a[6]*a[10] + 
        6*a[2]^5*(a[5]*a[6] + 
          7*a[1]*a[4]*a[7] + 42*a[1]^5*
           a[10]) + 5*a[1]^4*a[5]*
         a[11] + 11*a[1]^10*a[5]*a[11] + 
        5*a[2]^4*(6*a[1]*a[6]^2 + 
          a[5]*a[7] + 21*a[1]^2*a[5]*
           a[7] + 56*a[1]^3*a[4]*a[8] + 
          66*a[1]^7*a[11]) + 
        a[3]^2*(6*(2 + 5*a[1])*a[4]^2*
           a[5] + 3*a[6]^2 + 60*a[1]^3*
           a[6]^2 + 105*a[1]*a[2]^4*
           a[7] + 6*a[5]*a[7] + 
          30*a[1]^2*a[5]*a[7] + 
          105*a[1]^4*a[5]*a[7] + 
          560*a[1]^3*a[2]^3*a[8] + 
          6*a[4]*(2*a[2]*a[7] + 
            70*a[1]^3*a[2]*a[7] + a[8] + 
            28*a[1]^5*a[8] + 2*a[1]*
             (15*a[2]^2*a[6] + a[8])) + 
          6*a[2]^2*(5*a[5]^2 + 
            126*a[1]^5*a[9]) + 
          6*a[2]*(10*a[1]*a[5]*a[6] + 
            30*a[1]^2*a[5]*a[6] + 
            a[10] + 60*a[1]^7*a[10]) + 
          6*a[1]*a[11] + 55*a[1]^9*
           a[11]) + 4*a[1]^3*a[4]*
         a[12] + 12*a[1]^11*a[4]*a[12] + 
        4*a[2]^3*(15*a[1]*a[4]^2*a[6] + 
          a[4]*(5*a[5]^2 + a[9] + 
            126*a[1]^5*a[9]) + 
          5*a[1]*(3*a[1]*a[6]*a[7] + 
            7*a[1]^2*a[6]*a[7] + 
            a[5]*a[8] + 14*a[1]^3*a[5]*
             a[8] + 11*a[1]^8*a[12])) + 
        a[3]*(4*a[4]^4 + (1 + 30*a[1]^2)*
           a[5]^3 + 180*a[1]^2*a[2]^2*
           a[6]^2 + 7*a[2]^6*a[7] + 
          6*a[2]*a[6]*a[7] + 120*a[1]^3*
           a[2]*a[6]*a[7] + 210*a[1]^4*
           a[2]*a[6]*a[7] + 3*a[1]*
           a[7]^2 + 42*a[1]^5*a[7]^2 + 
          3*a[4]^2*(10*a[2]^2*a[5] + 
            4*(2 + 15*a[1]^2)*a[2]*
             a[6] + (1 + 8*a[1] + 
             35*a[1]^4)*a[7]) + 
          168*a[1]^2*a[2]^5*a[8] + 
          6*a[1]*a[6]*a[8] + 30*a[1]^4*
           a[6]*a[8] + 56*a[1]^6*a[6]*
           a[8] + 630*a[1]^4*a[2]^4*
           a[9] + 2*a[5]*
           (10*(1 + 6*a[1])*a[2]^3*
             a[6] + 30*a[1]*(1 + 
             7*a[1]^2)*a[2]^2*a[7] + 
            3*(1 + 10*a[1]^2 + 56*a[1]^
             5)*a[2]*a[8] + a[1]*
             (3 + 10*a[1]^2 + 36*a[1]^6)*
             a[9]) + 840*a[1]^6*a[2]^3*
           a[10] + 6*a[4]*
           (5*a[2]^4*a[6] + 
            (1 + 4*a[1] + 10*a[1]^2 + 
             20*a[1]^3)*a[5]*a[6] + 
            70*a[1]^2*a[2]^3*a[7] + 
            2*(1 + 70*a[1]^4)*a[2]^2*
             a[8] + a[2]*((2 + 20*a[1])*
             a[5]^2 + (1 + 4*a[1] + 
             84*a[1]^6)*a[9]) + 
            a[1]*(1 + 2*a[1] + 15*a[1]^
             7)*a[10]) + 3*a[2]^2*
           a[11] + 495*a[1]^8*a[2]^2*
           a[11] + 2*a[2]*a[12] + 
          6*a[1]*a[2]*a[12] + 
          132*a[1]^10*a[2]*a[12] + 
          3*a[1]^2*a[13] + 13*a[1]^12*
           a[13]) + a[2]^2*
         (105*a[1]^4*a[7]^2 + 168*a[1]^5*
           a[6]*a[8] + 30*a[1]^3*
           (7*a[4]^2*a[7] + 2*a[6]*
             a[8]) + 252*a[1]^6*a[5]*
           a[9] + 30*a[1]^2*a[5]*
           (6*a[4]*a[6] + a[9]) + 
          360*a[1]^7*a[4]*a[10] + 
          6*a[1]*(5*a[5]^3 + 10*a[4]*
             a[5]*a[6] + 2*a[4]*a[10]) + 
          78*a[1]^11*a[13] + 
          2*(6*a[4]*a[5]*a[6] + 
            6*a[4]^2*a[7] + a[13])) + 
        2*a[2]*(2*(3 + 5*a[1])*a[4]^3*
           a[5] + 30*a[1]^2*a[5]^2*
           a[6] + 12*a[1]*(1 + 7*a[1]^4)*
           a[4]^2*a[8] + a[7]*a[8] + 
          21*a[1]^5*a[7]*a[8] + 
          28*a[1]^6*a[7]*a[8] + 
          a[6]*a[9] + 15*a[1]^4*a[6]*
           a[9] + 36*a[1]^7*a[6]*a[9] + 
          a[5]*a[10] + 45*a[1]^8*a[5]*
           a[10] + 10*a[1]^3*a[5]*
           (3*a[5]*a[6] + a[10]) + 
          a[4]*(60*a[1]^3*a[6]^2 + 
            105*a[1]^4*a[5]*a[7] + 
            6*a[1]*(a[6]^2 + 2*a[5]*a[
             7]) + a[11] + 55*a[1]^9*
             a[11] + 6*a[1]^2*
             (5*a[5]*a[7] + a[11])) + 
          a[1]*a[14] + 7*a[1]^13*
           a[14]) - b[15]));
        a[16] = -((1/(a[1] + a[1]^16))*
       (a[4]^5 + 6*a[1]*a[3]^5*a[6] + 
        20*a[1]*a[3]^3*a[5]*a[6] + 
        60*a[1]^2*a[3]^3*a[5]*a[6] + 
        3*a[3]*a[5]^2*a[6] + 
        60*a[1]^2*a[3]*a[5]^2*a[6] + 
        60*a[1]^3*a[3]*a[5]^2*a[6] + 
        15*a[1]^4*a[6]^3 + 6*a[3]^2*a[6]*
         a[7] + 60*a[1]^3*a[3]^2*a[6]*
         a[7] + 105*a[1]^4*a[3]^2*a[6]*
         a[7] + 20*a[1]^3*a[5]*a[6]*
         a[7] + 30*a[1]^4*a[5]*a[6]*
         a[7] + 42*a[1]^5*a[5]*a[6]*
         a[7] + a[4]^3*(10*a[2]^2*a[5] + 
          4*(3 + 5*a[1])*a[3]*a[5] + 
          12*(1 + 5*a[1]^2)*a[2]*a[6] + 
          a[1]*(12 + 35*a[1]^3)*a[7]) + 
        a[2]^8*a[8] + 70*a[1]^4*a[3]^4*
         a[8] + 6*a[3]^2*a[5]*a[8] + 
        30*a[1]^2*a[3]^2*a[5]*a[8] + 
        168*a[1]^5*a[3]^2*a[5]*a[8] + 
        20*a[1]^3*a[5]^2*a[8] + 
        28*a[1]^6*a[5]^2*a[8] + 
        6*a[1]*a[3]*a[7]*a[8] + 
        42*a[1]^5*a[3]*a[7]*a[8] + 
        56*a[1]^6*a[3]*a[7]*a[8] + 
        36*a[1]^2*a[2]^7*a[9] + 
        6*a[1]*a[3]*a[6]*a[9] + 
        30*a[1]^4*a[3]*a[6]*a[9] + 
        72*a[1]^7*a[3]*a[6]*a[9] + 
        8*a[1]^7*a[8]*a[9] + 
        9*a[1]^8*a[8]*a[9] + 
        3*a[3]^3*a[10] + 120*a[1]^7*
         a[3]^3*a[10] + 6*a[1]*a[3]*a[5]*
         a[10] + 20*a[1]^3*a[3]*a[5]*
         a[10] + 90*a[1]^8*a[3]*a[5]*
         a[10] + 7*a[1]^6*a[7]*a[10] + 
        10*a[1]^9*a[7]*a[10] + 
        14*a[2]^6*(4*a[1]*a[3]*a[8] + 
          15*a[1]^4*a[10]) + 
        3*a[4]^2*(5*a[2]^4*a[6] + 
          2*(2 + 15*a[1]^2)*a[3]^2*
           a[6] + 70*a[1]^2*a[2]^3*
           a[7] + (1 + 8*a[1] + 
            56*a[1]^5)*a[3]*a[8] + 
          4*a[2]^2*(15*a[1]*a[3]*a[6] + 
            a[8] + 35*a[1]^4*a[8]) + 
          2*a[2]*(5*a[3]^2*a[5] + 
            2*(2 + 35*a[1]^3)*a[3]*
             a[7] + 2*((1 + 5*a[1])*a[5]^
             2 + a[1]*(2 + 21*a[1]^5)*a[
             9])) + a[1]*
           (2*(4 + 5*a[1] + 10*a[1]^2)*
             a[5]*a[6] + a[1]*
             (4 + 15*a[1]^6)*a[10])) + 
        6*a[1]^5*a[6]*a[11] + 
        11*a[1]^10*a[6]*a[11] + 
        3*a[2]^5*(2*a[6]^2 + 
          7*(a[3]^2*a[7] + 2*a[1]*a[5]*
             a[7] + 24*a[1]^3*a[3]*
             a[9] + 22*a[1]^6*a[11])) + 
        6*a[1]*a[3]^2*a[12] + 
        66*a[1]^10*a[3]^2*a[12] + 
        5*a[1]^4*a[5]*a[12] + 
        12*a[1]^11*a[5]*a[12] + 
        5*a[2]^4*(6*a[1]*a[6]*a[7] + 
          21*a[1]^2*a[6]*a[7] + 
          84*a[1]^2*a[3]^2*a[8] + 
          a[5]*a[8] + 56*a[1]^3*a[5]*
           a[8] + 6*a[3]*(a[5]*a[6] + 
            42*a[1]^5*a[10]) + 
          99*a[1]^8*a[12]) + 
        a[4]*(5*a[3]^4*a[5] + 
          4*a[3]^3*(30*a[1]*a[2]*a[6] + 
            a[7] + 35*a[1]^3*a[7]) + 
          42*a[1]^5*(a[7]^2 + 8*a[2]*
             a[5]*a[8]) + 72*a[1]^7*a[5]*
           a[9] + 6*a[3]^2*
           ((1 + 10*a[1])*a[5]^2 + 
            10*a[2]^3*a[6] + 105*a[1]^2*
             a[2]^2*a[7] + 
            2*(1 + 70*a[1]^4)*a[2]*
             a[8] + (1 + 2*a[1] + 
             42*a[1]^6)*a[9]) + 
          30*a[1]^4*(7*a[2]*a[6]*a[7] + 
            a[6]*a[8] + 21*a[2]^4*
             a[9]) + 56*a[1]^6*
           (a[6]*a[8] + 15*a[2]^3*
             a[10]) + 495*a[1]^8*a[2]^2*
           a[11] + a[3]*
           (3*(1 + 4*a[1] + 40*a[1]^3)*
             a[6]^2 + 210*a[1]*a[2]^4*
             a[7] + 1120*a[1]^3*a[2]^3*
             a[8] + 12*a[2]^2*
             (5*a[5]^2 + a[9] + 126*a[1]^
             5*a[9]) + 6*a[2]*
             (4*(1 + 5*a[1] + 15*a[1]^2)*
             a[5]*a[6] + (1 + 4*a[1] + 
             120*a[1]^7)*a[10]) + 
            2*(3*(1 + 4*a[1] + 10*a[1]^
             2 + 35*a[1]^4)*a[5]*a[7] + 
             a[1]*(3 + 6*a[1] + 
             55*a[1]^8)*a[11])) + 
          4*a[1]*(a[5]^3 + 3*a[2]*a[5]*
             (10*a[2]^2*a[6] + 5*a[2]*a[
             7] + 2*a[8]) + 3*a[2]*
             (2*a[6]*a[7] + a[2]*a[
             11])) + 132*a[1]^10*a[2]*
           a[12] + a[2]*(7*a[2]^5*a[7] + 
            6*a[2]*(a[6]^2 + 2*a[5]*a[
             7]) + 4*a[2]^2*
             (5*a[5]*a[6] + a[10]) + 
            2*a[12]) + 6*a[1]^2*
           (5*a[5]^3 + 30*a[2]^2*
             a[6]^2 + a[7]^2 + 28*a[2]^5*
             a[8] + 2*a[6]*a[8] + 
            2*a[5]*(5*a[2]*a[8] + 
             a[9]) + 2*a[2]*a[12]) + 
          13*a[1]^12*a[13] + 4*a[1]^3*
           (105*a[2]^2*a[5]*a[7] + 
            30*a[2]*a[6]*a[7] + 
            5*a[5]*a[9] + a[13])) + 
        2*a[2]^3*(5*a[5]^3 + 2*a[5]*
           (5*(1 + 21*a[1]^2)*a[3]*
             a[7] + a[1]*(5 + 126*a[1]^
             4)*a[9]) + a[1]*
           (70*a[3]^3*a[7] + 630*a[1]^3*
             a[3]^2*a[9] + 60*a[3]*
             (a[6]^2 + 11*a[1]^6*a[
             11]) + a[1]*(70*a[1]*a[7]^
             2 + 30*a[6]*a[8] + 140*a[1]^
             2*a[6]*a[8] + 143*a[1]^8*a[
             13]))) + 3*a[1]^2*a[3]*
         a[14] + 14*a[1]^13*a[3]*a[14] + 
        a[2]^2*(15*a[3]^4*a[6] + 
          60*a[1]*a[5]^2*a[6] + 
          560*a[1]^3*a[3]^3*a[8] + 
          105*a[1]^4*a[7]*a[8] + 
          168*a[1]^5*a[7]*a[8] + 
          60*a[1]^3*a[6]*a[9] + 
          252*a[1]^6*a[6]*a[9] + 
          360*a[1]^7*a[5]*a[10] + 
          30*a[1]^2*a[5]*(3*a[5]*a[6] + 
            a[10]) + 30*a[3]^2*
           ((1 + 6*a[1])*a[5]*a[6] + 
            42*a[1]^6*a[10]) + 
          3*a[3]*(60*a[1]^2*a[6]*a[7] + 
            140*a[1]^3*a[6]*a[7] + 
            20*a[1]*a[5]*a[8] + 
            280*a[1]^4*a[5]*a[8] + 
            a[12] + 220*a[1]^9*a[12]) + 
          2*a[14] + 91*a[1]^12*a[14]) + 
        a[2]*(105*a[1]^2*a[3]^4*a[7] + 
          30*a[1]^2*a[5]*(a[6]^2 + 
            2*a[5]*a[7]) + a[8]^2 + 
          56*a[1]^6*a[8]^2 + 2*a[7]*
           a[9] + 42*a[1]^5*a[7]*a[9] + 
          72*a[1]^7*a[7]*a[9] + 
          4*a[3]^3*(5*a[5]^2 + 
            126*a[1]^5*a[9]) + 
          2*a[6]*a[10] + 90*a[1]^8*a[6]*
           a[10] + 15*a[1]^4*
           (7*a[5]^2*a[7] + 2*a[6]*
             a[10]) + 2*a[5]*a[11] + 
          110*a[1]^9*a[5]*a[11] + 
          20*a[1]^3*a[5]*(6*a[6]^2 + 
            a[11]) + 3*a[3]^2*
           (60*a[1]^2*a[6]^2 + 
            20*a[1]*a[5]*a[7] + 
            140*a[1]^3*a[5]*a[7] + 
            2*a[11] + 165*a[1]^8*
             a[11]) + a[3]*(3*a[7]^2 + 
            210*a[1]^4*a[7]^2 + 
            6*a[6]*a[8] + 120*a[1]^3*
             a[6]*a[8] + 336*a[1]^5*a[6]*
             a[8] + 6*a[5]*a[9] + 
            60*a[1]^2*a[5]*a[9] + 
            504*a[1]^6*a[5]*a[9] + 
            2*a[13] + 156*a[1]^11*
             a[13] + 6*a[1]*(10*a[5]^3 + 
             a[13])) + 2*a[1]*a[15] + 
          15*a[1]^14*a[15]) - b[16]));
    a[17] = -((1/(a[1] + a[1]^17))*
       ((4 + 5*a[1])*a[4]^4*a[5] + 
        10*a[1]^2*a[5]^4 + 20*a[2]^3*
         a[5]^2*a[6] + 60*a[1]*a[2]^3*
         a[5]^2*a[6] + 30*a[1]*a[2]^2*
         a[5]*a[6]^2 + 180*a[1]^2*a[2]^2*
         a[5]*a[6]^2 + 60*a[1]^3*a[2]*
         a[6]^3 + 7*a[2]^6*a[5]*a[7] + 
        60*a[1]*a[2]^2*a[5]^2*a[7] + 
        210*a[1]^3*a[2]^2*a[5]^2*a[7] + 
        6*a[2]^5*a[6]*a[7] + 
        42*a[1]*a[2]^5*a[6]*a[7] + 
        60*a[1]^2*a[2]*a[5]*a[6]*a[7] + 
        120*a[1]^3*a[2]*a[5]*a[6]*a[7] + 
        210*a[1]^4*a[2]*a[5]*a[6]*a[7] + 
        30*a[1]^4*a[6]^2*a[7] + 
        21*a[1]^5*a[6]^2*a[7] + 
        105*a[1]^2*a[2]^4*a[7]^2 + 
        10*a[1]^3*a[5]*a[7]^2 + 
        42*a[1]^5*a[5]*a[7]^2 + 
        3*a[3]^5*(2*a[2]*a[6] + 
          7*a[1]^2*a[7]) + 168*a[1]^2*
         a[2]^5*a[5]*a[8] + 60*a[1]^2*
         a[2]*a[5]^2*a[8] + 168*a[1]^5*
         a[2]*a[5]^2*a[8] + 30*a[1]*
         a[2]^4*a[6]*a[8] + 280*a[1]^3*
         a[2]^4*a[6]*a[8] + 20*a[1]^3*
         a[5]*a[6]*a[8] + 30*a[1]^4*a[5]*
         a[6]*a[8] + 56*a[1]^6*a[5]*a[6]*
         a[8] + 140*a[1]^3*a[2]^3*a[7]*
         a[8] + 280*a[1]^4*a[2]^3*a[7]*
         a[8] + 168*a[1]^5*a[2]^2*
         a[8]^2 + 4*a[4]^3*
         (3*a[2]*a[7] + 35*a[1]^3*a[2]*
           a[7] + 14*a[1]^5*a[8] + 
          3*a[1]*(5*a[2]^2*a[6] + 
            a[8])) + 9*a[1]*a[2]^8*
         a[9] + 5*a[2]^4*a[5]*a[9] + 
        630*a[1]^4*a[2]^4*a[5]*a[9] + 
        20*a[1]^3*a[5]^2*a[9] + 
        36*a[1]^7*a[5]^2*a[9] + 
        60*a[1]^2*a[2]^3*a[6]*a[9] + 
        504*a[1]^5*a[2]^3*a[6]*a[9] + 
        105*a[1]^4*a[2]^2*a[7]*a[9] + 
        252*a[1]^6*a[2]^2*a[7]*a[9] + 
        2*a[2]*a[8]*a[9] + 56*a[1]^6*
         a[2]*a[8]*a[9] + 72*a[1]^7*a[2]*
         a[8]*a[9] + 9*a[1]^8*a[9]^2 + 
        a[3]^4*(5*a[5]^2 + 
          a[1]*(30*a[4]*a[6] + 
            7*(15*a[2]^2*a[7] + 40*a[1]^
             2*a[2]*a[8] + 18*a[1]^4*a[
             9]))) + 120*a[1]^3*a[2]^7*
         a[10] + 20*a[1]*a[2]^3*a[5]*
         a[10] + 840*a[1]^6*a[2]^3*a[5]*
         a[10] + 60*a[1]^3*a[2]^2*a[6]*
         a[10] + 360*a[1]^7*a[2]^2*a[6]*
         a[10] + 2*a[2]*a[7]*a[10] + 
        42*a[1]^5*a[2]*a[7]*a[10] + 
        90*a[1]^8*a[2]*a[7]*a[10] + 
        8*a[1]^7*a[8]*a[10] + 
        10*a[1]^9*a[8]*a[10] + 
        462*a[1]^5*a[2]^6*a[11] + 
        30*a[1]^2*a[2]^2*a[5]*a[11] + 
        495*a[1]^8*a[2]^2*a[5]*a[11] + 
        2*a[2]*a[6]*a[11] + 30*a[1]^4*
         a[2]*a[6]*a[11] + 110*a[1]^9*
         a[2]*a[6]*a[11] + 7*a[1]^6*a[7]*
         a[11] + 11*a[1]^10*a[7]*a[11] + 
        a[3]^3*(10*a[4]^2*a[5] + 
          60*a[1]^2*a[6]^2 + 35*a[2]^4*
           a[7] + 20*a[1]*a[5]*a[7] + 
          140*a[1]^3*a[5]*a[7] + 
          560*a[1]^2*a[2]^3*a[8] + 
          4*a[4]*(15*a[2]^2*a[6] + 
            105*a[1]^2*a[2]*a[7] + 
            a[8] + 70*a[1]^4*a[8]) + 
          1260*a[1]^4*a[2]^2*a[9] + 
          20*a[2]*((1 + 6*a[1])*a[5]*
             a[6] + 42*a[1]^6*a[10]) + 
          3*a[11] + 165*a[1]^8*a[11]) + 
        a[4]^2*(105*a[1]*a[2]^4*a[7] + 
          560*a[1]^3*a[2]^3*a[8] + 
          6*a[2]^2*(5*a[5]^2 + 
            2*(1 + 63*a[1]^5)*a[9]) + 
          12*a[2]*((2 + 5*a[1] + 
             15*a[1]^2)*a[5]*a[6] + 
            2*a[1]*(1 + 15*a[1]^6)*
             a[10]) + a[1]*
           (12*(1 + 5*a[1]^2)*a[6]^2 + 
            3*(8 + 10*a[1] + 35*a[1]^3)*
             a[5]*a[7] + a[1]*(12 + 
             55*a[1]^7)*a[11])) + 
        792*a[1]^7*a[2]^5*a[12] + 
        2*a[2]*a[5]*a[12] + 20*a[1]^3*
         a[2]*a[5]*a[12] + 132*a[1]^10*
         a[2]*a[5]*a[12] + 6*a[1]^5*a[6]*
         a[12] + 12*a[1]^11*a[6]*a[12] + 
        715*a[1]^9*a[2]^4*a[13] + 
        5*a[1]^4*a[5]*a[13] + 
        13*a[1]^12*a[5]*a[13] + 
        3*a[3]^2*(4*a[4]*a[5]*a[6] + 
          4*a[4]^2*a[7] + a[7]^2 + 
          35*a[1]^4*a[7]^2 + 56*a[1]*
           a[2]^5*a[8] + 2*a[6]*a[8] + 
          56*a[1]^5*a[6]*a[8] + 
          10*a[1]^3*(7*a[4]^2*a[7] + 
            2*a[6]*a[8]) + 420*a[1]^3*
           a[2]^4*a[9] + 2*a[5]*a[9] + 
          84*a[1]^6*a[5]*a[9] + 
          10*a[1]^2*a[5]*(6*a[4]*a[6] + 
            a[9]) + 2*a[4]*a[10] + 
          120*a[1]^7*a[4]*a[10] + 
          20*a[2]^3*(a[5]*a[6] + 
            7*a[1]*a[4]*a[7] + 42*a[1]^5*
             a[10]) + 10*a[2]^2*
           (6*a[1]*a[6]^2 + a[5]*a[7] + 
            21*a[1]^2*a[5]*a[7] + 
            56*a[1]^3*a[4]*a[8] + 
            66*a[1]^7*a[11]) + 
          2*a[2]*(30*a[1]*a[4]^2*a[6] + 
            30*a[1]^2*a[6]*a[7] + 
            70*a[1]^3*a[6]*a[7] + 
            10*a[1]*a[5]*a[8] + 
            140*a[1]^4*a[5]*a[8] + 
            2*a[4]*(5*a[5]^2 + a[9] + 
             126*a[1]^5*a[9]) + a[12] + 
            110*a[1]^9*a[12]) + 
          26*a[1]^11*a[13] + 2*a[1]*
           (5*a[5]^3 + 10*a[4]*a[5]*
             a[6] + 2*a[4]*a[10] + 
            a[13])) + 364*a[1]^11*a[2]^3*
         a[14] + 2*a[4]*(28*a[1]*a[2]^6*
           a[8] + 252*a[1]^3*a[2]^5*
           a[9] + 15*a[2]^4*(a[5]*a[6] + 
            42*a[1]^5*a[10]) + 
          2*a[2]^3*(30*a[1]*a[6]^2 + 
            5*a[5]*a[7] + 105*a[1]^2*
             a[5]*a[7] + a[11] + 
            330*a[1]^7*a[11]) + 
          6*a[2]^2*((1 + 15*a[1]^2 + 
             35*a[1]^3)*a[6]*a[7] + 
            (1 + 5*a[1] + 70*a[1]^4)*
             a[5]*a[8] + a[1]*
             (1 + 55*a[1]^8)*a[12]) + 
          a[2]*((2 + 30*a[1])*a[5]^3 + 
            105*a[1]^4*a[7]^2 + 
            60*a[1]^3*a[6]*a[8] + 
            168*a[1]^5*a[6]*a[8] + 
            6*a[1]*(a[7]^2 + 2*a[6]*a[
             8]) + 6*a[1]*(2 + 5*a[1] + 
             42*a[1]^5)*a[5]*a[9] + 
            a[13] + 6*a[1]^2*a[13] + 
            78*a[1]^11*a[13]) + 
          a[1]*(6*(1 + 5*a[1] + 5*a[1]^
             2)*a[5]^2*a[6] + 
            a[1]*(6 + 10*a[1] + 45*a[1]^
             6)*a[5]*a[10] + 
            a[1]*((6 + 21*a[1]^3 + 
             28*a[1]^4)*a[7]*a[8] + 
             3*(2 + 5*a[1]^2 + 12*a[1]^
             5)*a[6]*a[9] + a[1]*(2 + 
             7*a[1]^10)*a[14]))) + 
        2*a[2]^2*a[15] + 105*a[1]^13*
         a[2]^2*a[15] + a[3]*
         (12*(1 + 5*a[1]^2)*a[4]^3*
           a[6] + 3*a[5]*a[6]^2 + 
          30*a[1]^2*a[5]*a[6]^2 + 
          120*a[1]^3*a[5]*a[6]^2 + 
          3*a[5]^2*a[7] + 60*a[1]^2*
           a[5]^2*a[7] + 105*a[1]^4*
           a[5]^2*a[7] + 8*a[2]^7*a[8] + 
          3*a[1]*a[8]^2 + 56*a[1]^6*
           a[8]^2 + 252*a[1]^2*a[2]^6*
           a[9] + 6*a[1]*a[7]*a[9] + 
          42*a[1]^5*a[7]*a[9] + 
          72*a[1]^7*a[7]*a[9] + 
          3*a[4]^2*(4*(1 + 5*a[1])*
             a[5]^2 + (1 + 8*a[1] + 
             84*a[1]^6)*a[9]) + 
          6*a[1]*a[6]*a[10] + 30*a[1]^4*
           a[6]*a[10] + 90*a[1]^8*a[6]*
           a[10] + 42*a[2]^5*
           (a[4]*a[7] + 30*a[1]^4*
             a[10]) + 6*a[1]*a[5]*
           a[11] + 20*a[1]^3*a[5]*
           a[11] + 110*a[1]^9*a[5]*
           a[11] + 30*a[2]^4*(a[6]^2 + 
            7*a[1]*(a[5]*a[7] + 4*a[1]*a[
             4]*a[8] + 11*a[1]^5*a[
             11])) + 20*a[2]^3*
           (3*a[4]^2*a[6] + 6*a[1]*a[6]*
             a[7] + 21*a[1]^2*a[6]*
             a[7] + a[5]*a[8] + 
            56*a[1]^3*a[5]*a[8] + 
            126*a[1]^4*a[4]*a[9] + 
            99*a[1]^8*a[12]) + 
          6*a[4]*((1 + 4*a[1] + 20*a[1]^
             3 + 35*a[1]^4)*a[6]*a[7] + 
            (1 + 4*a[1] + 10*a[1]^2 + 
             56*a[1]^5)*a[5]*a[8] + 
            a[1]*(1 + 2*a[1] + 22*a[1]^
             9)*a[12]) + 3*a[2]^2*
           (10*a[5]^3 + 140*a[1]^3*
             a[7]^2 + 280*a[1]^4*a[6]*
             a[8] + 30*a[1]^2*
             (7*a[4]^2*a[7] + 2*a[6]*a[
             8]) + 4*a[5]*(5*(1 + 
             6*a[1])*a[4]*a[6] + 
             a[1]*(5 + 126*a[1]^4)*a[
             9]) + 4*a[4]*a[10] + 
            840*a[1]^6*a[4]*a[10] + 
            a[13] + 286*a[1]^10*a[13]) + 
          2*a[2]*(10*a[4]^3*a[5] + 
            60*a[1]*a[5]^2*a[6] + 
            90*a[1]^2*a[5]^2*a[6] + 
            12*(1 + 35*a[1]^4)*a[4]^2*
             a[8] + 3*a[7]*a[8] + 
            105*a[1]^4*a[7]*a[8] + 
            168*a[1]^5*a[7]*a[8] + 
            3*a[6]*a[9] + 60*a[1]^3*a[6]*
             a[9] + 252*a[1]^6*a[6]*
             a[9] + 3*a[5]*a[10] + 
            30*a[1]^2*a[5]*a[10] + 
            360*a[1]^7*a[5]*a[10] + 
            3*a[4]*((2 + 60*a[1]^2)*a[6]^
             2 + 4*(1 + 5*a[1] + 
             35*a[1]^3)*a[5]*a[7] + 
             (1 + 4*a[1] + 165*a[1]^8)*a[
             11]) + a[14] + 3*a[1]*
             a[14] + 91*a[1]^12*a[14]) + 
          3*a[1]^2*a[15] + 15*a[1]^14*
           a[15]) + 2*a[1]*a[2]*a[16] + 
        16*a[1]^15*a[2]*a[16] - 
        b[17]));
  a[18] = -((1/(a[1] + a[1]^18))*
       (6*a[4]^3*a[5]^2 + 20*a[1]*a[4]^3*
         a[5]^2 + a[3]^6*a[6] + 
        4*a[4]^4*a[6] + 15*a[1]^2*a[4]^4*
         a[6] + 30*a[1]^2*a[5]^3*a[6] + 
        20*a[1]^3*a[5]^3*a[6] + 
        12*a[1]*a[4]*a[5]*a[6]^2 + 
        30*a[1]^2*a[4]*a[5]*a[6]^2 + 
        120*a[1]^3*a[4]*a[5]*a[6]^2 + 
        12*a[1]*a[4]*a[5]^2*a[7] + 
        60*a[1]^2*a[4]*a[5]^2*a[7] + 
        105*a[1]^4*a[4]*a[5]^2*a[7] + 
        24*a[1]*a[4]^2*a[6]*a[7] + 
        60*a[1]^3*a[4]^2*a[6]*a[7] + 
        105*a[1]^4*a[4]^2*a[6]*a[7] + 
        15*a[1]^4*a[6]*a[7]^2 + 
        42*a[1]^5*a[6]*a[7]^2 + 
        24*a[1]*a[4]^2*a[5]*a[8] + 
        30*a[1]^2*a[4]^2*a[5]*a[8] + 
        168*a[1]^5*a[4]^2*a[5]*a[8] + 
        30*a[1]^4*a[6]^2*a[8] + 
        28*a[1]^6*a[6]^2*a[8] + 
        20*a[1]^3*a[5]*a[7]*a[8] + 
        42*a[1]^5*a[5]*a[7]*a[8] + 
        56*a[1]^6*a[5]*a[7]*a[8] + 
        6*a[1]^2*a[4]*a[8]^2 + 
        56*a[1]^6*a[4]*a[8]^2 + 
        14*a[3]^5*(3*a[1]*a[2]*a[7] + 
          4*a[1]^3*a[8]) + a[2]^9*a[9] + 
        12*a[1]*a[4]^3*a[9] + 
        84*a[1]^6*a[4]^3*a[9] + 
        20*a[1]^3*a[5]*a[6]*a[9] + 
        30*a[1]^4*a[5]*a[6]*a[9] + 
        72*a[1]^7*a[5]*a[6]*a[9] + 
        12*a[1]^2*a[4]*a[7]*a[9] + 
        42*a[1]^5*a[4]*a[7]*a[9] + 
        72*a[1]^7*a[4]*a[7]*a[9] + 
        45*a[1]^2*a[2]^8*a[10] + 
        20*a[1]^3*a[5]^2*a[10] + 
        45*a[1]^8*a[5]^2*a[10] + 
        12*a[1]^2*a[4]*a[6]*a[10] + 
        30*a[1]^4*a[4]*a[6]*a[10] + 
        90*a[1]^8*a[4]*a[6]*a[10] + 
        9*a[1]^8*a[9]*a[10] + 
        10*a[1]^9*a[9]*a[10] + 
        5*a[3]^4*((1 + 6*a[1])*a[5]*
           a[6] + 7*a[2]^3*a[7] + 
          84*a[1]^2*a[2]^2*a[8] + 
          6*a[2]*(a[4]*a[6] + 21*a[1]^4*
             a[9]) + 21*a[1]^2*
           (a[4]*a[7] + 2*a[1]^4*
             a[10])) + 12*a[1]^2*a[4]*
         a[5]*a[11] + 20*a[1]^3*a[4]*
         a[5]*a[11] + 110*a[1]^9*a[4]*
         a[5]*a[11] + 8*a[1]^7*a[8]*
         a[11] + 11*a[1]^10*a[8]*a[11] + 
        2*a[2]^7*(4*a[4]*a[8] + 
          165*a[1]^4*a[11]) + 
        12*a[1]^2*a[4]^2*a[12] + 
        66*a[1]^10*a[4]^2*a[12] + 
        7*a[1]^6*a[7]*a[12] + 
        12*a[1]^11*a[7]*a[12] + 
        a[3]^3*(60*a[1]*a[4]^2*a[6] + 
          60*a[1]^2*a[6]*a[7] + 
          140*a[1]^3*a[6]*a[7] + 
          280*a[1]*a[2]^4*a[8] + 
          20*a[1]*a[5]*a[8] + 280*a[1]^4*
           a[5]*a[8] + 1680*a[1]^3*
           a[2]^3*a[9] + 4*a[4]*
           (5*a[5]^2 + 105*a[1]*a[2]^2*
             a[7] + 280*a[1]^3*a[2]*
             a[8] + a[9] + 126*a[1]^5*
             a[9]) + 60*a[2]^2*
           (a[5]*a[6] + 42*a[1]^5*
             a[10]) + 20*a[2]*
           (6*a[1]*a[6]^2 + a[5]*a[7] + 
            21*a[1]^2*a[5]*a[7] + 
            66*a[1]^7*a[11]) + 3*a[12] + 
          220*a[1]^9*a[12]) + 
        7*a[2]^6*(a[6]*a[7] + 
          4*a[1]*(2*a[5]*a[8] + 
            9*a[1]*a[4]*a[9] + 33*a[1]^5*
             a[12])) + 6*a[1]^5*a[6]*
         a[13] + 13*a[1]^12*a[6]*a[13] + 
        3*a[2]^5*(7*a[4]^2*a[7] + 
          14*a[1]*a[7]^2 + 2*a[6]*a[8] + 
          56*a[1]^2*a[6]*a[8] + 
          168*a[1]^3*a[5]*a[9] + 
          420*a[1]^4*a[4]*a[10] + 
          429*a[1]^8*a[13]) + 
        5*a[1]^4*a[5]*a[14] + 
        14*a[1]^13*a[5]*a[14] + 
        a[3]^2*(10*a[4]^3*a[5] + 
          60*a[1]*a[5]^2*a[6] + 
          90*a[1]^2*a[5]^2*a[6] + 
          28*a[2]^6*a[8] + 6*a[7]*a[8] + 
          105*a[1]^4*a[7]*a[8] + 
          168*a[1]^5*a[7]*a[8] + 
          6*a[4]^2*(15*a[2]^2*a[6] + 
            105*a[1]^2*a[2]*a[7] + 
            2*(1 + 35*a[1]^4)*a[8]) + 
          756*a[1]^2*a[2]^5*a[9] + 
          6*a[6]*a[9] + 60*a[1]^3*a[6]*
           a[9] + 252*a[1]^6*a[6]*a[9] + 
          3150*a[1]^4*a[2]^4*a[10] + 
          6*a[5]*a[10] + 30*a[1]^2*a[5]*
           a[10] + 360*a[1]^7*a[5]*
           a[10] + 60*a[2]^3*(a[6]^2 + 
            7*a[1]*a[5]*a[7] + 77*a[1]^6*
             a[11]) + 3*a[4]*
           ((2 + 60*a[1]^2)*a[6]^2 + 
            35*a[2]^4*a[7] + 4*a[5]*
             a[7] + 20*a[1]*a[5]*a[7] + 
            140*a[1]^3*a[5]*a[7] + 
            560*a[1]^2*a[2]^3*a[8] + 
            1260*a[1]^4*a[2]^2*a[9] + 
            4*a[2]*(5*(1 + 6*a[1])*a[5]*
             a[6] + (1 + 210*a[1]^6)*a[
             10]) + 2*a[11] + 4*a[1]*
             a[11] + 165*a[1]^8*a[11]) + 
          30*a[2]^2*(6*a[1]*a[6]*a[7] + 
            21*a[1]^2*a[6]*a[7] + 
            a[5]*a[8] + 56*a[1]^3*a[5]*
             a[8] + 99*a[1]^8*a[12]) + 
          6*a[2]*(5*a[5]^3 + 70*a[1]^3*
             a[7]^2 + 30*a[1]^2*a[6]*
             a[8] + 140*a[1]^4*a[6]*
             a[8] + 2*a[1]*(5 + 126*a[1]^
             4)*a[5]*a[9] + a[13] + 
            143*a[1]^10*a[13]) + 
          6*a[1]*a[14] + 91*a[1]^12*
           a[14]) + a[2]^4*
         (15*a[5]^2*a[6] + 420*a[1]^2*
           a[4]^2*a[8] + 5*a[5]*
           (42*a[1]*a[4]*a[7] + a[10] + 
            252*a[1]^5*a[10]) + 
          30*a[4]*(a[6]^2 + 77*a[1]^6*
             a[11]) + a[1]*
           (105*a[1]*a[7]*a[8] + 
            280*a[1]^2*a[7]*a[8] + 
            30*a[6]*a[9] + 630*a[1]^3*
             a[6]*a[9] + 1001*a[1]^9*
             a[14])) + 4*a[1]^3*a[4]*
         a[15] + 15*a[1]^14*a[4]*a[15] + 
        a[2]^3*(20*a[4]^3*a[6] + 
          10*(2 + 21*a[1]^2)*a[5]^2*
           a[7] + 1260*a[1]^4*a[4]^2*
           a[9] + 10*a[5]*((1 + 12*a[1])*
             a[6]^2 + 2*a[1]*(1 + 
             66*a[1]^6)*a[11]) + 
          4*a[4]*(30*a[1]*a[6]*a[7] + 
            105*a[1]^2*a[6]*a[7] + 
            5*a[5]*a[8] + 280*a[1]^3*
             a[5]*a[8] + a[12] + 
            495*a[1]^8*a[12]) + 
          a[1]^2*(280*a[1]^2*a[8]^2 + 
            140*a[1]*a[7]*a[9] + 
            504*a[1]^3*a[7]*a[9] + 
            60*a[6]*a[10] + 840*a[1]^4*
             a[6]*a[10] + 455*a[1]^10*
             a[15])) + a[2]^2*
         (210*a[1]^2*a[4]^3*a[7] + 
          60*a[1]*a[5]*(a[6]*a[7] + 
            a[5]*a[8]) + 168*a[1]^5*a[8]*
           a[9] + 252*a[1]^6*a[8]*a[9] + 
          360*a[1]^7*a[7]*a[10] + 
          6*a[4]^2*(5*(1 + 6*a[1])*a[5]*
             a[6] + 2*(1 + 105*a[1]^6)*
             a[10]) + 105*a[1]^4*
           (4*a[5]^2*a[8] + a[7]*
             a[10]) + 495*a[1]^8*a[6]*
           a[11] + 60*a[1]^3*a[6]*
           (7*a[5]*a[7] + a[11]) + 
          660*a[1]^9*a[5]*a[12] + 
          30*a[1]^2*(3*a[6]^3 + 
            6*a[5]*a[6]*a[7] + 
            a[5]*a[12]) + 6*a[4]*
           (5*a[5]^3 + (1 + 70*a[1]^3)*
             a[7]^2 + 2*a[6]*a[8] + 
            30*a[1]^2*a[6]*a[8] + 
            140*a[1]^4*a[6]*a[8] + 
            2*(1 + 5*a[1] + 126*a[1]^5)*
             a[5]*a[9] + 2*a[1]*a[13] + 
            143*a[1]^10*a[13]) + 
          2*a[16] + 120*a[1]^14*a[16]) + 
        a[3]*(a[6]^3 + 60*a[1]^3*
           a[6]^3 + 4*(3 + 35*a[1]^3)*
           a[4]^3*a[7] + 6*a[5]*a[6]*
           a[7] + 60*a[1]^2*a[5]*a[6]*
           a[7] + 120*a[1]^3*a[5]*a[6]*
           a[7] + 210*a[1]^4*a[5]*a[6]*
           a[7] + 3*a[5]^2*a[8] + 
          60*a[1]^2*a[5]^2*a[8] + 
          168*a[1]^5*a[5]^2*a[8] + 
          72*a[1]*a[2]^7*a[9] + 
          6*a[1]*a[8]*a[9] + 56*a[1]^6*
           a[8]*a[9] + 72*a[1]^7*a[8]*
           a[9] + 840*a[1]^3*a[2]^6*
           a[10] + 6*a[1]*a[7]*a[10] + 
          42*a[1]^5*a[7]*a[10] + 
          90*a[1]^8*a[7]*a[10] + 
          3*a[4]^2*(4*(2 + 5*a[1] + 
             15*a[1]^2)*a[5]*a[6] + 
            (1 + 8*a[1] + 120*a[1]^7)*
             a[10]) + 6*a[1]*a[6]*
           a[11] + 30*a[1]^4*a[6]*
           a[11] + 110*a[1]^9*a[6]*
           a[11] + 42*a[2]^5*
           (a[5]*a[7] + 8*a[1]*a[4]*
             a[8] + 66*a[1]^5*a[11]) + 
          6*a[1]*a[5]*a[12] + 20*a[1]^3*
           a[5]*a[12] + 132*a[1]^10*a[5]*
           a[12] + 30*a[2]^4*
           ((1 + 7*a[1])*a[6]*a[7] + 
            4*a[1]^2*(7*a[5]*a[8] + 
             21*a[1]*a[4]*a[9] + 
             33*a[1]^5*a[12])) + 
          20*a[2]^3*(21*a[1]*a[4]^2*
             a[7] + 21*a[1]^2*a[7]^2 + 
            6*a[1]*a[6]*a[8] + 56*a[1]^3*
             a[6]*a[8] + a[5]*a[9] + 
            126*a[1]^4*a[5]*a[9] + 
            6*a[4]*(a[5]*a[6] + 42*a[1]^
             5*a[10]) + 143*a[1]^9*
             a[13]) + a[4]*
           ((4 + 60*a[1])*a[5]^3 + 
            6*(1 + 4*a[1] + 10*a[1]^2 + 
             84*a[1]^6)*a[5]*a[9] + 
            3*((1 + 4*a[1] + 70*a[1]^4)*
             a[7]^2 + 2*((1 + 4*a[1] + 
             20*a[1]^3 + 56*a[1]^5)*a[6]*
             a[8] + a[1]*(1 + 2*a[1] + 
             26*a[1]^10)*a[13]))) + 
          3*a[2]^2*(20*(1 + 3*a[1])*
             a[5]^2*a[6] + 120*a[1]*a[4]*
             a[6]^2 + 280*a[1]^4*a[7]*
             a[8] + 140*a[1]^3*
             (4*a[4]^2 + a[7])*a[8] + 
            60*a[1]^2*a[6]*a[9] + 
            504*a[1]^5*a[6]*a[9] + 
            20*a[5]*((1 + 21*a[1]^2)*a[
             4]*a[7] + a[1]*(1 + 
             42*a[1]^5)*a[10]) + 
            4*a[4]*a[11] + 1320*a[1]^7*
             a[4]*a[11] + a[14] + 
            364*a[1]^11*a[14]) + 
          a[2]*(120*a[1]*a[4]^3*a[6] + 
            3*a[8]^2 + 336*a[1]^5*
             a[8]^2 + 6*a[7]*a[9] + 
            210*a[1]^4*a[7]*a[9] + 
            504*a[1]^6*a[7]*a[9] + 
            12*a[4]^2*(5*a[5]^2 + 
             2*(1 + 63*a[1]^5)*a[9]) + 
            6*a[6]*a[10] + 720*a[1]^7*
             a[6]*a[10] + 60*a[1]^3*
             (7*a[5]^2*a[7] + 2*a[6]*a[
             10]) + 6*a[5]*a[11] + 
            990*a[1]^8*a[5]*a[11] + 
            60*a[1]^2*a[5]*(6*a[6]^2 + 
             a[11]) + 6*a[4]*
             (4*(1 + 15*a[1]^2 + 
             35*a[1]^3)*a[6]*a[7] + 
             4*(1 + 5*a[1] + 70*a[1]^4)*
             a[5]*a[8] + (1 + 4*a[1] + 
             220*a[1]^9)*a[12]) + 
            2*a[15] + 210*a[1]^13*
             a[15] + 6*a[1]*
             (10*a[5]*a[6]^2 + 20*a[5]^
             2*a[7] + a[15])) + 
          3*a[1]^2*a[16] + 16*a[1]^15*
           a[16]) + a[2]*
         (5*a[4]^4*a[5] + 
          4*(3 + 70*a[1]^4)*a[4]^3*
           a[8] + a[9]^2 + 72*a[1]^7*
           a[9]^2 + 30*a[1]^2*a[5]*
           (a[7]^2 + 2*a[6]*a[8] + 
            2*a[5]*a[9]) + 2*a[8]*
           a[10] + 90*a[1]^8*a[8]*
           a[10] + 28*a[1]^6*
           (9*a[5]^2*a[9] + 2*a[8]*
             a[10]) + 2*a[7]*a[11] + 
          110*a[1]^9*a[7]*a[11] + 
          3*a[4]^2*((4 + 60*a[1]^2)*
             a[6]^2 + 4*(2 + 5*a[1] + 
             35*a[1]^3)*a[5]*a[7] + 
            a[1]*(8 + 165*a[1]^7)*
             a[11]) + 42*a[1]^5*
           (8*a[5]*a[6]*a[8] + 
            a[7]*a[11]) + 2*a[6]*a[12] + 
          132*a[1]^10*a[6]*a[12] + 
          15*a[1]^4*(7*a[6]^2*a[7] + 
            14*a[5]*a[7]^2 + 2*a[6]*
             a[12]) + 2*a[5]*a[13] + 
          156*a[1]^11*a[5]*a[13] + 
          20*a[1]^3*(6*a[6]^2*a[7] + 
            6*a[5]*a[6]*a[8] + 
            a[5]*a[13]) + 2*a[4]*
           (6*(1 + 10*a[1] + 15*a[1]^2)*
             a[5]^2*a[6] + 105*a[1]^4*
             a[7]*a[8] + 168*a[1]^5*a[7]*
             a[8] + 60*a[1]^3*a[6]*
             a[9] + 252*a[1]^6*a[6]*
             a[9] + 12*a[1]*(a[7]*a[8] + 
             a[6]*a[9]) + 6*a[1]*
             (2 + 5*a[1] + 60*a[1]^6)*
             a[5]*a[10] + a[14] + 
            6*a[1]^2*a[14] + 91*a[1]^12*
             a[14]) + 17*a[1]^16*a[17] + 
          2*a[1]*(10*a[5]^4 + a[17])) - 
        b[18]));
        
     a[19] = -((1/(a[1] + a[1]^19))*
       (4*a[4]^2*a[5]^3 + 30*a[1]*a[4]^2*
         a[5]^3 + 12*a[4]^3*a[5]*a[6] + 
        20*a[1]*a[4]^3*a[5]*a[6] + 
        60*a[1]^2*a[4]^3*a[5]*a[6] + 
        30*a[1]^2*a[5]^2*a[6]^2 + 
        60*a[1]^3*a[5]^2*a[6]^2 + 
        4*a[1]*a[4]*a[6]^3 + 
        60*a[1]^3*a[4]*a[6]^3 + 
        7*a[1]*a[3]^6*a[7] + 
        4*a[4]^4*a[7] + 35*a[1]^3*a[4]^4*
         a[7] + 30*a[1]^2*a[5]^3*a[7] + 
        35*a[1]^4*a[5]^3*a[7] + 
        24*a[1]*a[4]*a[5]*a[6]*a[7] + 
        60*a[1]^2*a[4]*a[5]*a[6]*a[7] + 
        120*a[1]^3*a[4]*a[5]*a[6]*a[7] + 
        210*a[1]^4*a[4]*a[5]*a[6]*a[7] + 
        12*a[1]*a[4]^2*a[7]^2 + 
        105*a[1]^4*a[4]^2*a[7]^2 + 
        21*a[1]^5*a[7]^3 + 12*a[1]*a[4]*
         a[5]^2*a[8] + 60*a[1]^2*a[4]*
         a[5]^2*a[8] + 168*a[1]^5*a[4]*
         a[5]^2*a[8] + 24*a[1]*a[4]^2*
         a[6]*a[8] + 60*a[1]^3*a[4]^2*
         a[6]*a[8] + 168*a[1]^5*a[4]^2*
         a[6]*a[8] + 30*a[1]^4*a[6]*a[7]*
         a[8] + 42*a[1]^5*a[6]*a[7]*
         a[8] + 56*a[1]^6*a[6]*a[7]*
         a[8] + 10*a[1]^3*a[5]*a[8]^2 + 
        56*a[1]^6*a[5]*a[8]^2 + 
        24*a[1]*a[4]^2*a[5]*a[9] + 
        30*a[1]^2*a[4]^2*a[5]*a[9] + 
        252*a[1]^6*a[4]^2*a[5]*a[9] + 
        30*a[1]^4*a[6]^2*a[9] + 
        36*a[1]^7*a[6]^2*a[9] + 
        20*a[1]^3*a[5]*a[7]*a[9] + 
        42*a[1]^5*a[5]*a[7]*a[9] + 
        72*a[1]^7*a[5]*a[7]*a[9] + 
        12*a[1]^2*a[4]*a[8]*a[9] + 
        56*a[1]^6*a[4]*a[8]*a[9] + 
        72*a[1]^7*a[4]*a[8]*a[9] + 
        3*a[3]^5*(2*a[4]*a[6] + 
          7*(a[2]^2*a[7] + 8*a[1]^2*a[2]*
             a[8] + 6*a[1]^4*a[9])) + 
        10*a[1]*a[2]^9*a[10] + 
        12*a[1]*a[4]^3*a[10] + 
        120*a[1]^7*a[4]^3*a[10] + 
        20*a[1]^3*a[5]*a[6]*a[10] + 
        30*a[1]^4*a[5]*a[6]*a[10] + 
        90*a[1]^8*a[5]*a[6]*a[10] + 
        12*a[1]^2*a[4]*a[7]*a[10] + 
        42*a[1]^5*a[4]*a[7]*a[10] + 
        90*a[1]^8*a[4]*a[7]*a[10] + 
        10*a[1]^9*a[10]^2 + 165*a[1]^3*
         a[2]^8*a[11] + 20*a[1]^3*a[5]^2*
         a[11] + 55*a[1]^9*a[5]^2*
         a[11] + 12*a[1]^2*a[4]*a[6]*
         a[11] + 30*a[1]^4*a[4]*a[6]*
         a[11] + 110*a[1]^9*a[4]*a[6]*
         a[11] + 9*a[1]^8*a[9]*a[11] + 
        11*a[1]^10*a[9]*a[11] + 
        5*a[3]^4*(6*a[1]*a[6]^2 + 
          a[5]*a[7] + 21*a[1]^2*a[5]*
           a[7] + 56*a[1]*a[2]^3*a[8] + 
          56*a[1]^3*a[4]*a[8] + 
          252*a[1]^3*a[2]^2*a[9] + 
          6*a[2]*(a[5]*a[6] + 7*a[1]*
             a[4]*a[7] + 42*a[1]^5*
             a[10]) + 66*a[1]^7*a[11]) + 
        12*a[1]^2*a[4]*a[5]*a[12] + 
        20*a[1]^3*a[4]*a[5]*a[12] + 
        132*a[1]^10*a[4]*a[5]*a[12] + 
        8*a[1]^7*a[8]*a[12] + 
        12*a[1]^11*a[8]*a[12] + 
        8*a[2]^7*(a[5]*a[8] + 
          9*a[1]*a[4]*a[9] + 99*a[1]^5*
           a[12]) + 12*a[1]^2*a[4]^2*
         a[13] + 78*a[1]^11*a[4]^2*
         a[13] + 7*a[1]^6*a[7]*a[13] + 
        13*a[1]^12*a[7]*a[13] + 
        a[3]^3*(10*a[5]^3 + 210*a[1]^2*
           a[4]^2*a[7] + 140*a[1]^3*
           a[7]^2 + 56*a[2]^5*a[8] + 
          60*a[1]^2*a[6]*a[8] + 
          280*a[1]^4*a[6]*a[8] + 
          1260*a[1]^2*a[2]^4*a[9] + 
          4*a[5]*(5*(1 + 6*a[1])*a[4]*
             a[6] + 5*a[2]*a[8] + 
            280*a[1]^3*a[2]*a[8] + 
            126*a[1]^5*a[9] + 5*a[1]*
             (21*a[2]^2*a[7] + a[9])) + 
          4*a[4]*a[10] + 840*a[1]^6*a[4]*
           a[10] + 140*a[2]^3*
           (a[4]*a[7] + 30*a[1]^4*
             a[10]) + 60*a[2]^2*
           (a[6]^2 + 28*a[1]^2*a[4]*
             a[8] + 77*a[1]^6*a[11]) + 
          60*a[2]*(a[4]^2*a[6] + 
            42*a[1]^4*a[4]*a[9] + 
            a[1]*((2 + 7*a[1])*a[6]*a[
             7] + 33*a[1]^7*a[12])) + 
          3*a[13] + 286*a[1]^10*a[13]) + 
        a[2]^6*(7*a[7]^2 + 4*a[1]*
           (14*a[6]*a[8] + 3*a[1]*
             (21*a[5]*a[9] + 70*a[1]*a[
             4]*a[10] + 143*a[1]^5*a[
             13]))) + 6*a[1]^5*a[6]*
         a[14] + 14*a[1]^13*a[6]*a[14] + 
        2*a[2]^5*(84*a[1]*a[4]^2*a[8] + 
          21*a[1]*a[7]*a[8] + 84*a[1]^2*
           a[7]*a[8] + 3*a[6]*a[9] + 
          252*a[1]^3*a[6]*a[9] + 
          630*a[1]^4*a[5]*a[10] + 
          21*a[4]*(a[5]*a[7] + 66*a[1]^5*
             a[11]) + 1001*a[1]^9*
           a[14]) + 5*a[1]^4*a[5]*
         a[15] + 15*a[1]^14*a[5]*a[15] + 
        3*a[3]^2*(20*a[1]*a[4]^3*a[6] + 
          10*a[1]*a[5]*a[6]^2 + 
          60*a[1]^2*a[5]*a[6]^2 + 
          20*a[1]*a[5]^2*a[7] + 
          70*a[1]^3*a[5]^2*a[7] + 
          a[8]^2 + 56*a[1]^5*a[8]^2 + 
          84*a[1]*a[2]^6*a[9] + 
          2*a[7]*a[9] + 35*a[1]^4*a[7]*
           a[9] + 84*a[1]^6*a[7]*a[9] + 
          2*a[4]^2*(5*a[5]^2 + 105*a[1]*
             a[2]^2*a[7] + 280*a[1]^3*
             a[2]*a[8] + 2*a[9] + 
            126*a[1]^5*a[9]) + 
          840*a[1]^3*a[2]^5*a[10] + 
          2*a[6]*a[10] + 20*a[1]^3*a[6]*
           a[10] + 120*a[1]^7*a[6]*
           a[10] + 2*a[5]*a[11] + 
          10*a[1]^2*a[5]*a[11] + 
          165*a[1]^8*a[5]*a[11] + 
          35*a[2]^4*(a[5]*a[7] + 
            66*a[1]^5*a[11]) + 
          2*a[4]*(2*(1 + 15*a[1]^2 + 
             35*a[1]^3)*a[6]*a[7] + 
            140*a[1]*a[2]^4*a[8] + 
            2*a[5]*a[8] + 10*a[1]*a[5]*
             a[8] + 140*a[1]^4*a[5]*
             a[8] + 840*a[1]^3*a[2]^3*
             a[9] + 30*a[2]^2*
             (a[5]*a[6] + 42*a[1]^5*a[
             10]) + 2*a[2]*(30*a[1]*a[6]^
             2 + 5*a[5]*a[7] + 105*a[1]^
             2*a[5]*a[7] + a[11] + 
             330*a[1]^7*a[11]) + a[12] + 
            2*a[1]*a[12] + 110*a[1]^9*
             a[12]) + 20*a[2]^3*
           ((1 + 7*a[1])*a[6]*a[7] + 
            4*a[1]^2*(7*a[5]*a[8] + 
             33*a[1]^5*a[12])) + 
          10*a[2]^2*(21*a[1]^2*a[7]^2 + 
            6*a[1]*a[6]*a[8] + 56*a[1]^3*
             a[6]*a[8] + a[5]*a[9] + 
            126*a[1]^4*a[5]*a[9] + 
            143*a[1]^9*a[13]) + 
          2*a[2]*(10*(1 + 3*a[1])*a[5]^2*
             a[6] + 70*a[1]^3*a[7]*
             a[8] + 140*a[1]^4*a[7]*
             a[8] + 30*a[1]^2*a[6]*
             a[9] + 252*a[1]^5*a[6]*
             a[9] + 10*a[1]*(1 + 
             42*a[1]^5)*a[5]*a[10] + 
            a[14] + 182*a[1]^11*a[14]) + 
          2*a[1]*a[15] + 35*a[1]^13*
           a[15]) + 5*a[2]^4*
         (21*a[1]*a[5]^2*a[7] + 
          252*a[1]^3*a[4]^2*a[9] + 
          a[5]*(6*a[6]^2 + 168*a[1]^2*
             a[4]*a[8] + a[11] + 
            462*a[1]^6*a[11]) + 
          6*a[4]*((1 + 7*a[1])*a[6]*
             a[7] + 132*a[1]^7*a[12]) + 
          a[1]*(56*a[1]^2*a[8]^2 + 
            21*a[1]*a[7]*a[9] + 
            126*a[1]^3*a[7]*a[9] + 
            6*a[6]*a[10] + 252*a[1]^4*
             a[6]*a[10] + 273*a[1]^10*
             a[15])) + 4*a[1]^3*a[4]*
         a[16] + 16*a[1]^15*a[4]*a[16] + 
        4*a[2]^3*(35*a[1]*a[4]^3*a[7] + 
          5*a[5]*(a[6]*a[7] + 
            a[5]*a[8]) + 70*a[1]^4*a[8]*
           a[9] + 126*a[1]^5*a[8]*a[9] + 
          210*a[1]^6*a[7]*a[10] + 
          15*a[4]^2*(a[5]*a[6] + 
            42*a[1]^5*a[10]) + 
          35*a[1]^3*(4*a[5]^2*a[8] + 
            a[7]*a[10]) + 330*a[1]^7*
           a[6]*a[11] + 15*a[1]^2*a[6]*
           (7*a[5]*a[7] + a[11]) + 
          495*a[1]^8*a[5]*a[12] + 
          5*a[1]*(3*a[6]^3 + 6*a[5]*a[6]*
             a[7] + a[5]*a[12]) + 
          a[4]*(105*a[1]^2*a[7]^2 + 
            30*a[1]*a[6]*a[8] + 
            280*a[1]^3*a[6]*a[8] + 
            5*a[5]*a[9] + 630*a[1]^4*
             a[5]*a[9] + a[13] + 
            715*a[1]^9*a[13]) + 
          140*a[1]^13*a[16]) + 
        a[2]^2*(10*a[5]^4 + 252*a[1]^6*
           a[9]^2 + 12*a[5]^2*
           (5*(1 + 3*a[1])*a[4]*a[6] + 
            a[1]*(5 + 63*a[1]^4)*a[9]) + 
          180*a[1]^2*a[6]*(a[6]*a[7] + 
            a[4]*a[9]) + 168*a[1]^5*
           (9*a[4]*a[6]*a[9] + 
            a[8]*a[10]) + 495*a[1]^8*
           a[7]*a[11] + 105*a[1]^4*a[7]*
           (8*a[4]*a[8] + a[11]) + 
          180*a[1]^7*(2*a[8]*a[10] + 
            11*a[4]^2*a[11]) + 
          660*a[1]^9*a[6]*a[12] + 
          10*a[1]^3*(21*a[6]^2*a[7] + 
            14*a[4]*(4*a[4]^2 + 3*a[7])*
             a[8] + 6*a[6]*a[12]) + 
          6*a[5]*(5*(1 + 21*a[1]^2)*
             a[4]^2*a[7] + 
            2*(1 + 5*a[1] + 210*a[1]^6)*
             a[4]*a[10] + a[1]*
             ((5 + 70*a[1]^2)*a[7]^2 + 
             10*(1 + 3*a[1] + 14*a[1]^3)*
             a[6]*a[8] + a[1]*(5 + 
             143*a[1]^8)*a[13])) + 
          1092*a[1]^11*a[4]*a[14] + 
          12*a[1]*a[4]*(15*a[4]*a[6]^2 + 
            a[14]) + 136*a[1]^15*a[17] + 
          2*(6*a[4]*(a[7]*a[8] + 
             a[6]*a[9]) + 6*a[4]^2*
             a[11] + a[17])) + 
        a[3]*(5*a[4]^4*a[5] + 60*a[2]^3*
           a[5]^2*a[6] + 30*a[2]^2*a[5]*
           a[6]^2 + 60*a[2]^2*a[5]^2*
           a[7] + 42*a[2]^5*a[6]*a[7] + 
          3*a[6]^2*a[7] + 3*a[5]*
           a[7]^2 + 30*a[2]^4*a[6]*
           a[8] + 6*a[5]*a[6]*a[8] + 
          4*a[4]^3*(15*a[2]^2*a[6] + 
            105*a[1]^2*a[2]*a[7] + 
            (3 + 70*a[1]^4)*a[8]) + 
          9*a[2]^8*a[9] + 3*a[5]^2*
           a[9] + 6*a[2]*a[8]*a[9] + 
          20*a[2]^3*a[5]*a[10] + 
          6*a[2]*a[7]*a[10] + 
          6*a[2]*a[6]*a[11] + 
          3*a[4]^2*((4 + 60*a[1]^2)*
             a[6]^2 + 35*a[2]^4*a[7] + 
            8*a[5]*a[7] + 20*a[1]*a[5]*
             a[7] + 140*a[1]^3*a[5]*
             a[7] + 560*a[1]^2*a[2]^3*
             a[8] + 1260*a[1]^4*a[2]^2*
             a[9] + 4*a[2]*
             (5*(1 + 6*a[1])*a[5]*a[6] + 
             2*(1 + 105*a[1]^6)*a[10]) + 
            a[11] + 8*a[1]*a[11] + 
            165*a[1]^8*a[11]) + 
          42*a[1]^5*(36*a[2]^2*a[7]*
             a[9] + 8*a[2]*a[8]*a[9] + 
            8*a[5]*(a[6]*a[8] + 15*a[2]^
             3*a[10]) + a[7]*a[11]) + 
          72*a[1]^7*(a[9]^2 + 5*a[2]*
             (2*a[7]*a[10] + 11*a[2]*a[
             5]*a[11])) + 6*a[2]*a[5]*
           a[12] + 110*a[1]^9*
           (a[7]*a[11] + 12*a[2]*a[5]*
             a[12]) + 15*a[1]^4*
           (7*a[6]^2*a[7] + 
            14*(a[5]*a[7]^2 + 4*a[2]*
             a[5]^2*a[8] + a[2]*(4*a[2]*
             a[8]^2 + a[7]*a[10] + 
             11*a[2]^5*a[11])) + 
            2*a[6]*(84*a[2]^3*a[9] + 
             a[12])) + 28*a[1]^6*
           (9*a[5]^2*a[9] + 
            2*(9*a[2]*a[8]*a[9] + 
             45*a[2]^2*a[6]*a[10] + 
             a[8]*a[10] + 99*a[2]^5*a[
             12])) + 156*a[1]^11*a[5]*
           a[13] + 45*a[1]^8*
           (2*a[8]*a[10] + 22*a[2]*a[6]*
             a[11] + 143*a[2]^4*a[13]) + 
          20*a[1]^3*(6*a[6]^2*a[7] + 
            6*a[5]*a[6]*a[8] + 56*a[2]^3*
             a[7]*a[8] + 126*a[2]^4*a[5]*
             a[9] + 21*a[2]^2*a[7]*
             a[9] + 6*a[2]*a[6]*
             (7*a[5]*a[7] + a[11]) + 
            a[5]*a[13]) + 2*a[4]*
           (6*(1 + 10*a[1] + 15*a[1]^2)*
             a[5]^2*a[6] + 28*a[2]^6*
             a[8] + 3*a[7]*a[8] + 
            12*a[1]*a[7]*a[8] + 
            105*a[1]^4*a[7]*a[8] + 
            168*a[1]^5*a[7]*a[8] + 
            756*a[1]^2*a[2]^5*a[9] + 
            3*a[6]*a[9] + 12*a[1]*a[6]*
             a[9] + 60*a[1]^3*a[6]*
             a[9] + 252*a[1]^6*a[6]*
             a[9] + 3150*a[1]^4*a[2]^4*
             a[10] + 3*(1 + 4*a[1] + 
             10*a[1]^2 + 120*a[1]^7)*
             a[5]*a[10] + 60*a[2]^3*
             (a[6]^2 + 7*a[1]*a[5]*a[
             7] + 77*a[1]^6*a[11]) + 
            6*a[2]^2*(30*a[1]*a[6]*a[
             7] + 105*a[1]^2*a[6]*a[7] + 
             5*a[5]*a[8] + 280*a[1]^3*a[
             5]*a[8] + a[12] + 495*a[1]^
             8*a[12]) + 3*a[2]*
             (10*a[5]^3 + 2*(1 + 
             70*a[1]^3)*a[7]^2 + 
             4*a[6]*a[8] + 60*a[1]^2*a[
             6]*a[8] + 280*a[1]^4*a[6]*a[
             8] + 4*(1 + 5*a[1] + 
             126*a[1]^5)*a[5]*a[9] + 
             a[13] + 4*a[1]*a[13] + 
             286*a[1]^10*a[13]) + 
            3*a[1]*a[14] + 6*a[1]^2*
             a[14] + 91*a[1]^12*a[14]) + 
          44*a[1]^10*(3*a[6]*a[12] + 
            91*a[2]^3*a[14]) + 
          3*a[2]^2*a[15] + 1365*a[1]^12*
           a[2]^2*a[15] + 2*a[2]*a[16] + 
          240*a[1]^14*a[2]*a[16] + 
          a[1]*(20*a[5]^4 + 120*a[2]*
             a[5]^2*a[8] + 6*a[5]*
             (20*a[2]*a[6]*a[7] + 
             56*a[2]^5*a[8] + 10*a[2]^2*(
             6*a[6]^2 + a[11]) + 
             a[13]) + 3*(70*a[2]^4*a[7]^
             2 + 40*a[2]^3*a[6]*a[9] + 
             a[9]^2 + 2*a[8]*a[10] + 
             2*a[7]*a[11] + 2*a[6]*a[
             12] + 2*a[2]*a[16])) + 
          17*a[1]^16*a[17] + 3*a[1]^2*
           (280*a[2]^4*a[6]*a[8] + 
            140*a[2]^3*a[7]*a[8] + 
            10*a[5]*(a[7]^2 + 2*a[6]*a[
             8]) + 20*a[5]^2*a[9] + 
            120*a[2]^7*a[10] + 30*a[2]^2*
             (7*a[5]^2*a[7] + 2*a[6]*a[
             10]) + 20*a[2]*(3*a[6]^3 + 
             6*a[5]*a[6]*a[7] + a[5]*a[
             12]) + a[17])) + 
        2*a[2]*(15*a[1]*a[4]^4*a[6] + 
          2*a[4]^3*(5*a[5]^2 + 
            3*(1 + 42*a[1]^5)*a[9]) + 
          a[9]*a[10] + 45*a[1]^8*a[9]*
           a[10] + 36*a[1]^7*(5*a[5]^2 + 
            a[9])*a[10] + 30*a[1]^2*a[5]*
           (a[5]^2*a[6] + a[7]*a[8] + 
            a[6]*a[9] + a[5]*a[10]) + 
          a[8]*a[11] + 55*a[1]^9*a[8]*
           a[11] + 28*a[1]^6*
           (9*a[5]*a[6]*a[9] + 
            a[8]*a[11]) + a[7]*a[12] + 
          66*a[1]^10*a[7]*a[12] + 
          6*a[4]^2*((2 + 15*a[1]^2 + 
             35*a[1]^3)*a[6]*a[7] + 
            (2 + 5*a[1] + 70*a[1]^4)*
             a[5]*a[8] + a[1]*
             (2 + 55*a[1]^8)*a[12]) + 
          21*a[1]^5*(4*a[6]^2*a[8] + 
            a[7]*(8*a[5]*a[8] + 
             a[12])) + a[6]*a[13] + 
          78*a[1]^11*a[6]*a[13] + 
          15*a[1]^4*(7*a[5]*a[7]*a[8] + 
            a[6]*(7*a[7]^2 + a[13])) + 
          a[5]*a[14] + 91*a[1]^12*a[5]*
           a[14] + 10*a[1]^3*
           (6*a[6]^2*a[8] + 3*a[6]*
             (a[7]^2 + 2*a[5]*a[9]) + 
            a[5]*a[14]) + a[4]*
           (6*(1 + 10*a[1] + 35*a[1]^3)*
             a[5]^2*a[7] + 168*a[1]^5*
             a[8]^2 + 105*a[1]^4*a[7]*
             a[9] + 252*a[1]^6*a[7]*
             a[9] + 60*a[1]^3*a[6]*
             a[10] + 360*a[1]^7*a[6]*
             a[10] + 6*a[1]*(a[8]^2 + 
             2*a[7]*a[9] + 2*a[6]*a[
             10]) + 3*a[5]*
             (2*(1 + 5*a[1] + 30*a[1]^2)*
             a[6]^2 + a[1]*(4 + 
             10*a[1] + 165*a[1]^7)*a[
             11]) + a[15] + 6*a[1]^2*
             a[15] + 105*a[1]^13*
             a[15]) + 9*a[1]^17*a[18] + 
          a[1]*(30*a[5]^3*a[6] + 
            a[18])) - b[19]));
            
        a[20] = -((1/(a[1] + a[1]^20))*
       (a[4]^5*a[5] + 6*a[3]^5*a[5]*
         a[6] + 20*a[3]^3*a[5]^2*a[6] + 
        60*a[1]*a[3]^3*a[5]^2*a[6] + 
        60*a[1]*a[3]*a[5]^3*a[6] + 
        60*a[1]^2*a[3]*a[5]^3*a[6] + 
        90*a[1]^2*a[3]^2*a[6]^3 + 
        10*a[1]^2*a[5]*a[6]^3 + 
        60*a[1]^3*a[5]*a[6]^3 + 
        30*a[1]*a[3]^4*a[6]*a[7] + 
        105*a[1]^2*a[3]^4*a[6]*a[7] + 
        60*a[1]*a[3]^2*a[5]*a[6]*a[7] + 
        180*a[1]^2*a[3]^2*a[5]*a[6]*
         a[7] + 420*a[1]^3*a[3]^2*a[5]*
         a[6]*a[7] + 60*a[1]^2*a[5]^2*
         a[6]*a[7] + 60*a[1]^3*a[5]^2*
         a[6]*a[7] + 105*a[1]^4*a[5]^2*
         a[6]*a[7] + 3*a[3]*a[6]*
         a[7]^2 + 60*a[1]^3*a[3]*a[6]*
         a[7]^2 + 210*a[1]^4*a[3]*a[6]*
         a[7]^2 + 28*a[1]^2*a[3]^6*
         a[8] + 5*a[3]^4*a[5]*a[8] + 
        280*a[1]^3*a[3]^4*a[5]*a[8] + 
        60*a[1]*a[3]^2*a[5]^2*a[8] + 
        420*a[1]^4*a[3]^2*a[5]^2*a[8] + 
        30*a[1]^2*a[5]^3*a[8] + 
        56*a[1]^5*a[5]^3*a[8] + 
        3*a[3]*a[6]^2*a[8] + 120*a[1]^3*
         a[3]*a[6]^2*a[8] + 168*a[1]^5*
         a[3]*a[6]^2*a[8] + 140*a[1]^3*
         a[3]^3*a[7]*a[8] + 280*a[1]^4*
         a[3]^3*a[7]*a[8] + 6*a[3]*a[5]*
         a[7]*a[8] + 60*a[1]^2*a[3]*a[5]*
         a[7]*a[8] + 210*a[1]^4*a[3]*
         a[5]*a[7]*a[8] + 336*a[1]^5*
         a[3]*a[5]*a[7]*a[8] + 
        42*a[1]^5*a[7]^2*a[8] + 
        28*a[1]^6*a[7]^2*a[8] + 
        15*a[1]^4*a[6]*a[8]^2 + 
        56*a[1]^6*a[6]*a[8]^2 + 
        a[4]^4*(15*a[2]^2*a[6] + 
          30*a[1]*a[3]*a[6] + 105*a[1]^2*
           a[2]*a[7] + 4*a[8] + 
          70*a[1]^4*a[8]) + 60*a[1]^2*
         a[3]^3*a[6]*a[9] + 504*a[1]^5*
         a[3]^3*a[6]*a[9] + 6*a[3]*a[5]*
         a[6]*a[9] + 60*a[1]^2*a[3]*a[5]*
         a[6]*a[9] + 120*a[1]^3*a[3]*
         a[5]*a[6]*a[9] + 504*a[1]^6*
         a[3]*a[5]*a[6]*a[9] + 
        30*a[1]^4*a[6]*a[7]*a[9] + 
        42*a[1]^5*a[6]*a[7]*a[9] + 
        72*a[1]^7*a[6]*a[7]*a[9] + 
        6*a[3]^2*a[8]*a[9] + 168*a[1]^5*
         a[3]^2*a[8]*a[9] + 252*a[1]^6*
         a[3]^2*a[8]*a[9] + 20*a[1]^3*
         a[5]*a[8]*a[9] + 56*a[1]^6*a[5]*
         a[8]*a[9] + 72*a[1]^7*a[5]*a[8]*
         a[9] + a[2]^10*a[10] + 
        252*a[1]^5*a[3]^5*a[10] + 
        20*a[1]*a[3]^3*a[5]*a[10] + 
        840*a[1]^6*a[3]^3*a[5]*a[10] + 
        3*a[3]*a[5]^2*a[10] + 
        60*a[1]^2*a[3]*a[5]^2*a[10] + 
        360*a[1]^7*a[3]*a[5]^2*a[10] + 
        30*a[1]^4*a[6]^2*a[10] + 
        45*a[1]^8*a[6]^2*a[10] + 
        6*a[3]^2*a[7]*a[10] + 
        105*a[1]^4*a[3]^2*a[7]*a[10] + 
        360*a[1]^7*a[3]^2*a[7]*a[10] + 
        20*a[1]^3*a[5]*a[7]*a[10] + 
        42*a[1]^5*a[5]*a[7]*a[10] + 
        90*a[1]^8*a[5]*a[7]*a[10] + 
        6*a[1]*a[3]*a[9]*a[10] + 
        72*a[1]^7*a[3]*a[9]*a[10] + 
        90*a[1]^8*a[3]*a[9]*a[10] + 
        55*a[1]^2*a[2]^9*a[11] + 
        6*a[3]^2*a[6]*a[11] + 
        60*a[1]^3*a[3]^2*a[6]*a[11] + 
        495*a[1]^8*a[3]^2*a[6]*a[11] + 
        20*a[1]^3*a[5]*a[6]*a[11] + 
        30*a[1]^4*a[5]*a[6]*a[11] + 
        110*a[1]^9*a[5]*a[6]*a[11] + 
        6*a[1]*a[3]*a[8]*a[11] + 
        56*a[1]^6*a[3]*a[8]*a[11] + 
        110*a[1]^9*a[3]*a[8]*a[11] + 
        10*a[1]^9*a[10]*a[11] + 
        11*a[1]^10*a[10]*a[11] + 
        a[4]^3*(6*a[6]^2 + 60*a[1]^2*
           a[6]^2 + 35*a[2]^4*a[7] + 
          12*a[5]*a[7] + 20*a[1]*a[5]*
           a[7] + 140*a[1]^3*a[5]*a[7] + 
          30*a[3]^2*(2*a[2]*a[6] + 
            7*a[1]^2*a[7]) + 560*a[1]^2*
           a[2]^3*a[8] + 1260*a[1]^4*
           a[2]^2*a[9] + 4*a[3]*
           (5*a[5]^2 + 105*a[1]*a[2]^2*
             a[7] + 280*a[1]^3*a[2]*
             a[8] + 3*a[9] + 126*a[1]^5*
             a[9]) + 4*a[2]*
           (5*(1 + 6*a[1])*a[5]*a[6] + 
            3*(1 + 70*a[1]^6)*a[10]) + 
          12*a[1]*a[11] + 165*a[1]^8*
           a[11]) + 495*a[1]^8*a[3]^4*
         a[12] + 6*a[3]^2*a[5]*a[12] + 
        30*a[1]^2*a[3]^2*a[5]*a[12] + 
        660*a[1]^9*a[3]^2*a[5]*a[12] + 
        20*a[1]^3*a[5]^2*a[12] + 
        66*a[1]^10*a[5]^2*a[12] + 
        6*a[1]*a[3]*a[7]*a[12] + 
        42*a[1]^5*a[3]*a[7]*a[12] + 
        132*a[1]^10*a[3]*a[7]*a[12] + 
        9*a[1]^8*a[9]*a[12] + 
        12*a[1]^11*a[9]*a[12] + 
        45*a[2]^8*(2*a[1]*a[3]*a[10] + 
          11*a[1]^4*a[12]) + 6*a[1]*a[3]*
         a[6]*a[13] + 30*a[1]^4*a[3]*
         a[6]*a[13] + 156*a[1]^11*a[3]*
         a[6]*a[13] + 8*a[1]^7*a[8]*
         a[13] + 13*a[1]^12*a[8]*a[13] + 
        4*a[2]^7*(2*a[6]*a[8] + 
          9*a[3]^2*a[9] + 18*a[1]*a[5]*
           a[9] + 330*a[1]^3*a[3]*
           a[11] + 429*a[1]^6*a[13]) + 
        3*a[3]^3*a[14] + 364*a[1]^11*
         a[3]^3*a[14] + 6*a[1]*a[3]*a[5]*
         a[14] + 20*a[1]^3*a[3]*a[5]*
         a[14] + 182*a[1]^12*a[3]*a[5]*
         a[14] + 7*a[1]^6*a[7]*a[14] + 
        14*a[1]^13*a[7]*a[14] + 
        a[4]^2*(15*a[3]^4*a[6] + 
          12*a[5]^2*a[6] + 60*a[1]*
           a[5]^2*a[6] + 90*a[1]^2*
           a[5]^2*a[6] + 28*a[2]^6*
           a[8] + 560*a[1]^3*a[3]^3*
           a[8] + 24*a[1]*a[7]*a[8] + 
          105*a[1]^4*a[7]*a[8] + 
          168*a[1]^5*a[7]*a[8] + 
          756*a[1]^2*a[2]^5*a[9] + 
          24*a[1]*a[6]*a[9] + 60*a[1]^3*
           a[6]*a[9] + 252*a[1]^6*a[6]*
           a[9] + 24*a[1]*a[5]*a[10] + 
          30*a[1]^2*a[5]*a[10] + 
          360*a[1]^7*a[5]*a[10] + 
          210*a[2]^4*(4*a[1]*a[3]*a[8] + 
            15*a[1]^4*a[10]) + 
          6*a[3]^2*(5*(1 + 6*a[1])*a[5]*
             a[6] + 2*(1 + 105*a[1]^6)*
             a[10]) + 30*a[2]^3*
           (2*a[6]^2 + 7*(a[3]^2*a[7] + 
             2*a[1]*a[5]*a[7] + 24*a[1]^
             3*a[3]*a[9] + 22*a[1]^6*a[
             11])) + 6*a[2]^2*
           (30*a[1]*a[6]*a[7] + 
            105*a[1]^2*a[6]*a[7] + 
            420*a[1]^2*a[3]^2*a[8] + 
            5*a[5]*a[8] + 280*a[1]^3*
             a[5]*a[8] + 30*a[3]*
             (a[5]*a[6] + 42*a[1]^5*a[
             10]) + 2*a[12] + 495*a[1]^8*
             a[12]) + 3*a[3]*
           (4*(2 + 15*a[1]^2 + 35*a[1]^
             3)*a[6]*a[7] + 
            4*(2 + 5*a[1] + 70*a[1]^4)*
             a[5]*a[8] + (1 + 8*a[1] + 
             220*a[1]^9)*a[12]) + 
          6*a[2]*(5*a[5]^3 + 70*a[1]^3*
             a[7]^2 + 30*a[1]^2*a[6]*
             a[8] + 2*a[5]*
             (5*(1 + 21*a[1]^2)*a[3]*a[
             7] + (2 + 5*a[1] + 126*
             a[1]^5)*a[9]) + 70*a[1]^4*
             (2*a[6]*a[8] + 9*a[3]^2*a[
             9]) + 660*a[1]^7*a[3]*
             a[11] + 2*(a[7]^2 + 
             2*a[6]*a[8] + 2*a[3]*a[
             11]) + 143*a[1]^10*a[13] + 
            a[1]*(60*a[3]*a[6]^2 + 
             70*a[3]^3*a[7] + 
             4*a[13])) + 12*a[1]^2*
           a[14] + 91*a[1]^12*a[14]) + 
        7*a[2]^6*((1 + 8*a[1])*a[7]*
           a[8] + 180*a[1]^2*a[3]^2*
           a[10] + 8*a[3]*(a[5]*a[8] + 
            99*a[1]^5*a[12]) + 
          3*a[1]^2*(12*a[6]*a[9] + 
            40*a[1]*a[5]*a[10] + 
            143*a[1]^6*a[14])) + 
        6*a[1]^5*a[6]*a[15] + 
        15*a[1]^14*a[6]*a[15] + 
        3*a[2]^5*(7*a[5]^2*a[7] + 
          56*a[1]^2*a[8]^2 + 168*a[1]*
           a[3]^3*a[9] + 14*a[1]*a[7]*
           a[9] + 168*a[1]^3*a[7]*a[9] + 
          2*a[6]*a[10] + 420*a[1]^4*a[6]*
           a[10] + 2310*a[1]^4*a[3]^2*
           a[11] + 84*a[5]*
           (6*a[1]^2*a[3]*a[9] + 
            11*a[1]^5*a[11]) + 
          2*a[3]*(7*a[7]^2 + 56*a[1]*
             a[6]*a[8] + 1716*a[1]^7*
             a[13]) + 1001*a[1]^10*
           a[15]) + 6*a[1]*a[3]^2*
         a[16] + 120*a[1]^14*a[3]^2*
         a[16] + 5*a[1]^4*a[5]*a[16] + 
        16*a[1]^15*a[5]*a[16] + 
        5*a[2]^4*(3*a[6]^3 + 14*a[3]^4*
           a[8] + 84*a[1]^2*a[5]^2*
           a[8] + 56*a[1]^3*a[8]*a[9] + 
          126*a[1]^4*a[8]*a[9] + 
          840*a[1]^3*a[3]^3*a[10] + 
          21*a[1]^2*a[7]*a[10] + 
          252*a[1]^5*a[7]*a[10] + 
          3*a[6]*(7*a[3]^2*a[7] + 
            2*(1 + 84*a[1]^3)*a[3]*
             a[9] + 2*((1 + 7*a[1])*a[5]*
             a[7] + a[1]*(1 + 77*a[1]^5)*
             a[11])) + a[5]*a[12] + 
          792*a[1]^7*a[5]*a[12] + 
          84*a[3]^2*(2*a[1]*a[5]*a[8] + 
            33*a[1]^6*a[12]) + 
          14*a[1]*a[3]*(3*(1 + 4*a[1])*
             a[7]*a[8] + 90*a[1]^3*a[5]*
             a[10] + 143*a[1]^8*a[14]) + 
          364*a[1]^12*a[16]) + 
        2*a[2]^3*(630*a[1]^2*a[3]^4*
           a[9] + 252*a[1]^5*a[9]^2 + 
          5*a[5]*(a[7]^2 + 2*a[6]*a[8] + 
            2*a[5]*a[9]) + 420*a[1]^6*
           a[8]*a[10] + 70*a[1]^4*
           (9*a[5]^2*a[9] + 2*a[8]*
             a[10]) + 660*a[1]^7*a[7]*
           a[11] + 70*a[3]^3*
           (a[5]*a[7] + 66*a[1]^5*
             a[11]) + 70*a[1]^3*
           (8*a[5]*a[6]*a[8] + 
            a[7]*a[11]) + 990*a[1]^8*
           a[6]*a[12] + 15*a[1]^2*
           (7*a[6]^2*a[7] + 14*a[5]*
             a[7]^2 + 2*a[6]*a[12]) + 
          1430*a[1]^9*a[5]*a[13] + 
          15*a[3]^2*(14*a[1]*a[7]^2 + 
            2*a[6]*a[8] + 56*a[1]^2*a[6]*
             a[8] + 168*a[1]^3*a[5]*
             a[9] + 429*a[1]^8*a[13]) + 
          10*a[1]*(6*a[6]^2*a[7] + 
            6*a[5]*a[6]*a[8] + 
            a[5]*a[13]) + 10*a[3]*
           (21*a[1]*a[5]^2*a[7] + 
            a[5]*(6*a[6]^2 + a[11] + 
             462*a[1]^6*a[11]) + 
            a[1]*(56*a[1]^2*a[8]^2 + 
             21*a[1]*a[7]*a[9] + 
             126*a[1]^3*a[7]*a[9] + 
             6*a[6]*a[10] + 252*a[1]^4*a[
             6]*a[10] + 273*a[1]^10*a[
             15])) + 340*a[1]^14*
           a[17]) + a[4]*((1 + 20*a[1])*
           a[5]^4 + 4*a[2]*a[6]^3 + 
          180*a[1]^2*a[2]*a[6]^3 + 
          42*a[1]*a[3]^5*a[7] + 
          42*a[2]^5*a[6]*a[7] + 
          12*a[1]*a[6]^2*a[7] + 
          120*a[1]^3*a[6]^2*a[7] + 
          105*a[1]^4*a[6]^2*a[7] + 
          210*a[1]*a[2]^4*a[7]^2 + 
          30*a[2]^4*a[6]*a[8] + 
          840*a[1]^2*a[2]^4*a[6]*a[8] + 
          420*a[1]^2*a[2]^3*a[7]*a[8] + 
          1120*a[1]^3*a[2]^3*a[7]*a[8] + 
          6*a[2]^2*a[8]^2 + 840*a[1]^4*
           a[2]^2*a[8]^2 + 9*a[2]^8*
           a[9] + 120*a[1]*a[2]^3*a[6]*
           a[9] + 2520*a[1]^4*a[2]^3*
           a[6]*a[9] + 12*a[2]^2*a[7]*
           a[9] + 420*a[1]^3*a[2]^2*a[7]*
           a[9] + 1512*a[1]^5*a[2]^2*
           a[7]*a[9] + 24*a[1]*a[2]*a[8]*
           a[9] + 336*a[1]^5*a[2]*a[8]*
           a[9] + 504*a[1]^6*a[2]*a[8]*
           a[9] + 6*a[1]^2*a[9]^2 + 
          72*a[1]^7*a[9]^2 + 105*a[3]^4*
           (a[2]^2*a[7] + 8*a[1]^2*a[2]*
             a[8] + 6*a[1]^4*a[9]) + 
          6*a[5]^2*(10*a[2]^3*a[6] + 
            5*(2 + 21*a[1]^2)*a[2]^2*
             a[7] + 2*(1 + 10*a[1] + 
             70*a[1]^4)*a[2]*a[8] + 
            2*a[1]*(1 + 5*a[1] + 
             21*a[1]^5)*a[9]) + 
          360*a[1]^2*a[2]^7*a[10] + 
          12*a[2]^2*a[6]*a[10] + 
          180*a[1]^2*a[2]^2*a[6]*a[10] + 
          2520*a[1]^6*a[2]^2*a[6]*
           a[10] + 24*a[1]*a[2]*a[7]*
           a[10] + 210*a[1]^4*a[2]*a[7]*
           a[10] + 720*a[1]^7*a[2]*a[7]*
           a[10] + 12*a[1]^2*a[8]*
           a[10] + 56*a[1]^6*a[8]*
           a[10] + 90*a[1]^8*a[8]*
           a[10] + 2310*a[1]^4*a[2]^6*
           a[11] + 24*a[1]*a[2]*a[6]*
           a[11] + 120*a[1]^3*a[2]*a[6]*
           a[11] + 990*a[1]^8*a[2]*a[6]*
           a[11] + 12*a[1]^2*a[7]*
           a[11] + 42*a[1]^5*a[7]*
           a[11] + 110*a[1]^9*a[7]*
           a[11] + 4*a[3]^3*
           (30*a[1]*a[6]^2 + 5*a[5]*
             a[7] + 105*a[1]^2*a[5]*
             a[7] + 280*a[1]*a[2]^3*
             a[8] + 1260*a[1]^3*a[2]^2*
             a[9] + 30*a[2]*(a[5]*a[6] + 
             42*a[1]^5*a[10]) + a[11] + 
            330*a[1]^7*a[11]) + 
          5544*a[1]^6*a[2]^5*a[12] + 
          12*a[1]^2*a[6]*a[12] + 
          30*a[1]^4*a[6]*a[12] + 
          132*a[1]^10*a[6]*a[12] + 
          6435*a[1]^8*a[2]^4*a[13] + 
          6*a[3]^2*(5*a[5]^3 + a[7]^2 + 
            70*a[1]^3*a[7]^2 + 28*a[2]^5*
             a[8] + 2*a[6]*a[8] + 
            30*a[1]^2*a[6]*a[8] + 
            140*a[1]^4*a[6]*a[8] + 
            630*a[1]^2*a[2]^4*a[9] + 
            2*a[5]*(5*a[2]*a[8] + 
             280*a[1]^3*a[2]*a[8] + 
             a[9] + 126*a[1]^5*a[9] + 
             5*a[1]*(21*a[2]^2*a[7] + 
             a[9])) + 2100*a[1]^4*a[2]^3*
             a[10] + 30*a[2]^2*(a[6]^2 + 
             77*a[1]^6*a[11]) + 
            2*a[2]*(30*a[1]*a[6]*a[7] + 
             105*a[1]^2*a[6]*a[7] + 
             a[12] + 495*a[1]^8*a[12]) + 
            a[13] + 2*a[1]*a[13] + 
            143*a[1]^10*a[13]) + 
          2*a[5]*(168*a[1]*a[2]^5*a[8] + 
            1260*a[1]^3*a[2]^4*a[9] + 
            10*(1 + 252*a[1]^5)*a[2]^3*
             a[10] + 3*a[2]^2*
             ((5 + 60*a[1])*a[6]^2 + 
             2*(1 + 5*a[1] + 330*a[1]^7)*
             a[11]) + 6*a[2]*
             (2*(1 + 5*a[1] + 15*a[1]^
             2 + 35*a[1]^3)*a[6]*a[7] + 
             a[1]*(2 + 5*a[1] + 110*
             a[1]^8)*a[12]) + 
            a[1]*(3*(2 + 5*a[1] + 
             35*a[1]^3)*a[7]^2 + 
             2*(3*(2 + 5*a[1] + 10*a[1]^
             2 + 28*a[1]^4)*a[6]*a[8] + 
             a[1]*(3 + 5*a[1] + 39*a[1]^
             9)*a[13]))) + 4*a[2]^3*
           a[14] + 4004*a[1]^10*a[2]^3*
           a[14] + 12*a[1]*a[2]^2*
           a[15] + 1365*a[1]^12*a[2]^2*
           a[15] + 3*a[3]*
           (4*(1 + 10*a[1] + 35*a[1]^3)*
             a[5]^2*a[7] + a[8]^2 + 
            4*a[1]*a[8]^2 + 112*a[1]^5*
             a[8]^2 + 168*a[1]*a[2]^6*
             a[9] + 2*a[7]*a[9] + 
            8*a[1]*a[7]*a[9] + 70*a[1]^4*
             a[7]*a[9] + 168*a[1]^6*a[7]*
             a[9] + 1680*a[1]^3*a[2]^5*
             a[10] + 2*a[6]*a[10] + 
            8*a[1]*a[6]*a[10] + 
            40*a[1]^3*a[6]*a[10] + 
            240*a[1]^7*a[6]*a[10] + 
            70*a[2]^4*(a[5]*a[7] + 
             66*a[1]^5*a[11]) + 
            2*a[5]*(2*(1 + 5*a[1] + 
             30*a[1]^2)*a[6]^2 + 
             (1 + 4*a[1] + 10*a[1]^2 + 
             165*a[1]^8)*a[11]) + 
            40*a[2]^3*((1 + 7*a[1])*a[6]*
             a[7] + 4*a[1]^2*(7*a[5]*
             a[8] + 33*a[1]^5*a[12])) + 
            4*a[2]^2*(105*a[1]^2*a[7]^
             2 + 30*a[1]*a[6]*a[8] + 
             280*a[1]^3*a[6]*a[8] + 
             5*a[5]*a[9] + 630*a[1]^4*a[
             5]*a[9] + a[13] + 715*a[1]^
             9*a[13]) + 2*a[2]*
             (20*(1 + 3*a[1])*a[5]^2*a[
             6] + 4*(1 + 35*a[1]^3 + 
             70*a[1]^4)*a[7]*a[8] + 
             4*a[6]*a[9] + 60*a[1]^2*a[
             6]*a[9] + 504*a[1]^5*a[6]*a[
             9] + 4*(1 + 5*a[1] + 
             210*a[1]^6)*a[5]*a[10] + 
             a[14] + 4*a[1]*a[14] + 
             364*a[1]^11*a[14]) + 
            2*a[1]*a[15] + 4*a[1]^2*
             a[15] + 70*a[1]^13*a[15]) + 
          2*a[2]*a[16] + 12*a[1]^2*a[2]*
           a[16] + 240*a[1]^14*a[2]*
           a[16] + 4*a[1]^3*a[17] + 
          17*a[1]^16*a[17]) + 
        3*a[1]^2*a[3]*a[18] + 
        18*a[1]^17*a[3]*a[18] + 
        a[2]^2*(30*(1 + 2*a[1])*a[5]^3*
           a[6] + 90*a[1]^2*a[6]*
           a[7]^2 + 420*a[1]^3*a[6]*
           a[7]^2 + 168*a[1]*a[3]^5*
           a[8] + 180*a[1]^2*a[6]^2*
           a[8] + 420*a[1]^4*a[6]^2*
           a[8] + 3150*a[1]^4*a[3]^4*
           a[10] + 60*a[1]*(1 + 
            21*a[1]^5)*a[5]^2*a[10] + 
          252*a[1]^6*a[9]*a[10] + 
          360*a[1]^7*a[9]*a[10] + 
          168*a[1]^5*a[8]*a[11] + 
          495*a[1]^8*a[8]*a[11] + 
          105*a[1]^4*a[7]*a[12] + 
          660*a[1]^9*a[7]*a[12] + 
          60*a[3]^3*((1 + 7*a[1])*a[6]*
             a[7] + 4*a[1]^2*
             (7*a[5]*a[8] + 33*a[1]^5*a[
             12])) + 60*a[1]^3*a[6]*
           a[13] + 858*a[1]^10*a[6]*
           a[13] + 6*a[1]*a[5]*
           (10*(1 + 7*a[1]^2 + 14*a[1]^
             3)*a[7]*a[8] + 
            2*(5 + 15*a[1] + 126*a[1]^4)*
             a[6]*a[9] + a[1]*
             (5 + 182*a[1]^9)*a[14]) + 
          6*a[3]^2*(15*a[5]^2*a[6] + 
            5*(1 + 252*a[1]^5)*a[5]*
             a[10] + a[1]*(105*a[1]*a[7]*
             a[8] + 280*a[1]^2*a[7]*a[
             8] + 30*a[6]*a[9] + 
             630*a[1]^3*a[6]*a[9] + 
             1001*a[1]^9*a[14])) + 
          3*a[3]*(20*a[5]*a[6]*a[7] + 
            20*a[5]^2*a[8] + 280*a[1]^4*
             a[8]*a[9] + 504*a[1]^5*a[8]*
             a[9] + 840*a[1]^6*a[7]*
             a[10] + 140*a[1]^3*
             (4*a[5]^2*a[8] + a[7]*a[
             10]) + 1320*a[1]^7*a[6]*
             a[11] + 60*a[1]^2*a[6]*
             (7*a[5]*a[7] + a[11]) + 
            1980*a[1]^8*a[5]*a[12] + 
            20*a[1]*(3*a[6]^3 + 6*a[5]*a[
             6]*a[7] + a[5]*a[12]) + 
            a[16] + 560*a[1]^13*a[16]) + 
          2*a[18] + 153*a[1]^16*a[18]) + 
        a[2]*(7*a[3]^6*a[7] + 504*a[1]^3*
           a[3]^5*a[9] + a[10]^2 + 
          2*a[9]*a[11] + 110*a[1]^9*a[9]*
           a[11] + 30*a[3]^4*(a[6]^2 + 
            7*a[1]*a[5]*a[7] + 77*a[1]^6*
             a[11]) + 45*a[1]^8*
           (2*a[10]^2 + 11*a[5]^2*
             a[11]) + 72*a[1]^7*
           (10*a[5]*a[6]*a[10] + 
            a[9]*a[11]) + 30*a[1]^2*a[5]*
           (a[8]^2 + 2*a[7]*a[9] + 
            2*a[6]*a[10] + 2*a[5]*
             (3*a[6]^2 + a[11])) + 
          2*a[8]*a[12] + 132*a[1]^10*
           a[8]*a[12] + 28*a[1]^6*
           (9*a[6]^2*a[9] + 18*a[5]*a[7]*
             a[9] + 2*a[8]*a[12]) + 
          2*a[7]*a[13] + 156*a[1]^11*
           a[7]*a[13] + 20*a[3]^3*
           (21*a[1]^2*a[7]^2 + 
            6*a[1]*a[6]*a[8] + 56*a[1]^3*
             a[6]*a[8] + a[5]*a[9] + 
            126*a[1]^4*a[5]*a[9] + 
            143*a[1]^9*a[13]) + 
          42*a[1]^5*(8*a[6]*a[7]*a[8] + 
            8*a[5]*a[8]^2 + a[7]*
             a[13]) + 2*a[6]*a[14] + 
          182*a[1]^12*a[6]*a[14] + 
          15*a[1]^4*(7*a[7]^3 + 
            14*a[7]*(a[6]*a[8] + 
             a[5]*a[9]) + 2*a[6]*
             a[14]) + 2*a[5]*a[15] + 
          210*a[1]^13*a[5]*a[15] + 
          3*a[3]^2*(10*(2 + 21*a[1]^2)*
             a[5]^2*a[7] + 280*a[1]^4*
             a[8]^2 + 140*a[1]^3*a[7]*
             a[9] + 504*a[1]^5*a[7]*
             a[9] + 60*a[1]^2*a[6]*
             a[10] + 840*a[1]^6*a[6]*
             a[10] + 10*a[5]*
             ((1 + 12*a[1])*a[6]^2 + 
             2*a[1]*(1 + 66*a[1]^6)*a[
             11]) + 2*a[15] + 
            455*a[1]^12*a[15]) + 
          20*a[1]^3*(7*a[5]^3*a[7] + 
            6*a[6]*(a[7]*a[8] + a[6]*a[
             9]) + a[5]*(6*a[6]*a[10] + 
             a[15])) + a[3]*(20*a[5]^4 + 
            360*a[1]^2*a[6]^2*a[7] + 
            24*a[1]*(5 + 63*a[1]^4)*
             a[5]^2*a[9] + 3*a[9]^2 + 
            504*a[1]^6*a[9]^2 + 
            6*a[8]*a[10] + 336*a[1]^5*
             a[8]*a[10] + 720*a[1]^7*
             a[8]*a[10] + 6*a[7]*a[11] + 
            210*a[1]^4*a[7]*a[11] + 
            990*a[1]^8*a[7]*a[11] + 
            6*a[6]*a[12] + 1320*a[1]^9*
             a[6]*a[12] + 60*a[1]^3*a[6]*
             (7*a[6]*a[7] + 2*a[12]) + 
            6*a[5]*(140*a[1]^3*a[7]^2 + 
             280*a[1]^4*a[6]*a[8] + 
             10*a[1]*(a[7]^2 + 2*a[6]*
             a[8]) + a[13] + 286*a[1]^10*
             a[13] + 10*a[1]^2*(6*a[6]*
             a[8] + a[13])) + 2*a[17] + 
            6*a[1]*a[17] + 272*a[1]^15*
             a[17]) + 19*a[1]^18*a[19] + 
          2*a[1]*(30*a[5]^2*a[6]^2 + 
            30*a[5]^3*a[7] + a[19])) - 
        b[20]));
        
    a[21] = -((1/(a[1] + a[1]^21))*
       (5*a[1]*a[5]^5 + 6*a[1]*a[4]^5*
         a[6] + 20*a[2]^3*a[5]^3*a[6] + 
        30*a[2]^2*a[5]^2*a[6]^2 + 
        180*a[1]*a[2]^2*a[5]^2*a[6]^2 + 
        20*a[1]*a[2]*a[5]*a[6]^3 + 
        180*a[1]^2*a[2]*a[5]*a[6]^3 + 
        20*a[1]^3*a[6]^4 + a[3]^7*a[7] + 
        30*a[2]^2*a[5]^3*a[7] + 
        210*a[1]^2*a[2]^2*a[5]^3*a[7] + 
        42*a[2]^5*a[5]*a[6]*a[7] + 
        120*a[1]*a[2]*a[5]^2*a[6]*a[7] + 
        180*a[1]^2*a[2]*a[5]^2*a[6]*
         a[7] + 420*a[1]^3*a[2]*a[5]^2*
         a[6]*a[7] + 30*a[2]^4*a[6]^2*
         a[7] + 105*a[1]*a[2]^4*a[6]^2*
         a[7] + 30*a[1]^2*a[5]*a[6]^2*
         a[7] + 120*a[1]^3*a[5]*a[6]^2*
         a[7] + 105*a[1]^4*a[5]*a[6]^2*
         a[7] + 210*a[1]*a[2]^4*a[5]*
         a[7]^2 + 30*a[1]^2*a[5]^2*
         a[7]^2 + 105*a[1]^4*a[5]^2*
         a[7]^2 + 60*a[1]*a[2]^3*a[6]*
         a[7]^2 + 420*a[1]^2*a[2]^3*a[6]*
         a[7]^2 + 210*a[1]^3*a[2]^2*
         a[7]^3 + 168*a[1]*a[2]^5*a[5]^2*
         a[8] + 60*a[1]*a[2]*a[5]^3*
         a[8] + 280*a[1]^4*a[2]*a[5]^3*
         a[8] + 30*a[2]^4*a[5]*a[6]*
         a[8] + 840*a[1]^2*a[2]^4*a[5]*
         a[6]*a[8] + 60*a[1]^2*a[5]^2*
         a[6]*a[8] + 60*a[1]^3*a[5]^2*
         a[6]*a[8] + 168*a[1]^5*a[5]^2*
         a[6]*a[8] + 120*a[1]*a[2]^3*
         a[6]^2*a[8] + 560*a[1]^3*a[2]^3*
         a[6]^2*a[8] + 8*a[2]^7*a[7]*
         a[8] + 20*a[2]^3*a[5]*a[7]*
         a[8] + 420*a[1]^2*a[2]^3*a[5]*
         a[7]*a[8] + 1120*a[1]^3*a[2]^3*
         a[5]*a[7]*a[8] + 180*a[1]^2*
         a[2]^2*a[6]*a[7]*a[8] + 
        420*a[1]^3*a[2]^2*a[6]*a[7]*
         a[8] + 840*a[1]^4*a[2]^2*a[6]*
         a[7]*a[8] + 210*a[1]^4*a[2]*
         a[7]^2*a[8] + 168*a[1]^5*a[2]*
         a[7]^2*a[8] + 56*a[1]*a[2]^6*
         a[8]^2 + 30*a[1]*a[2]^2*a[5]*
         a[8]^2 + 840*a[1]^4*a[2]^2*a[5]*
         a[8]^2 + 60*a[1]^3*a[2]*a[6]*
         a[8]^2 + 336*a[1]^5*a[2]*a[6]*
         a[8]^2 + 21*a[1]^5*a[7]*
         a[8]^2 + 56*a[1]^6*a[7]*
         a[8]^2 + 9*a[2]^8*a[5]*a[9] + 
        1260*a[1]^3*a[2]^4*a[5]^2*a[9] + 
        30*a[1]^2*a[5]^3*a[9] + 
        84*a[1]^6*a[5]^3*a[9] + 
        72*a[1]*a[2]^7*a[6]*a[9] + 
        20*a[2]^3*a[5]*a[6]*a[9] + 
        120*a[1]*a[2]^3*a[5]*a[6]*a[9] + 
        2520*a[1]^4*a[2]^3*a[5]*a[6]*
         a[9] + 180*a[1]^2*a[2]^2*a[6]^2*
         a[9] + 756*a[1]^5*a[2]^2*a[6]^2*
         a[9] + 7*a[2]^6*a[7]*a[9] + 
        252*a[1]^2*a[2]^6*a[7]*a[9] + 
        60*a[1]*a[2]^2*a[5]*a[7]*a[9] + 
        420*a[1]^3*a[2]^2*a[5]*a[7]*
         a[9] + 1512*a[1]^5*a[2]^2*a[5]*
         a[7]*a[9] + 120*a[1]^3*a[2]*
         a[6]*a[7]*a[9] + 210*a[1]^4*
         a[2]*a[6]*a[7]*a[9] + 
        504*a[1]^6*a[2]*a[6]*a[7]*a[9] + 
        42*a[1]^5*a[7]^2*a[9] + 
        36*a[1]^7*a[7]^2*a[9] + 
        168*a[1]^2*a[2]^5*a[8]*a[9] + 
        504*a[1]^3*a[2]^5*a[8]*a[9] + 
        60*a[1]^2*a[2]*a[5]*a[8]*a[9] + 
        336*a[1]^5*a[2]*a[5]*a[8]*a[9] + 
        504*a[1]^6*a[2]*a[5]*a[8]*a[9] + 
        30*a[1]^4*a[6]*a[8]*a[9] + 
        56*a[1]^6*a[6]*a[8]*a[9] + 
        72*a[1]^7*a[6]*a[8]*a[9] + 
        630*a[1]^4*a[2]^4*a[9]^2 + 
        10*a[1]^3*a[5]*a[9]^2 + 
        72*a[1]^7*a[5]*a[9]^2 + 
        28*a[3]^6*(2*a[1]*a[2]*a[8] + 
          3*a[1]^3*a[9]) + a[4]^4*
         (5*a[5]^2 + 105*a[1]*a[2]^2*
           a[7] + 105*a[1]^2*a[3]*a[7] + 
          10*a[2]*(3*a[3]*a[6] + 
            28*a[1]^3*a[8]) + 4*a[9] + 
          126*a[1]^5*a[9]) + 360*a[1]^2*
         a[2]^7*a[5]*a[10] + 
        20*a[2]^3*a[5]^2*a[10] + 
        2520*a[1]^5*a[2]^3*a[5]^2*
         a[10] + 840*a[1]^3*a[2]^6*a[6]*
         a[10] + 60*a[1]*a[2]^2*a[5]*
         a[6]*a[10] + 180*a[1]^2*a[2]^2*
         a[5]*a[6]*a[10] + 2520*a[1]^6*
         a[2]^2*a[5]*a[6]*a[10] + 
        120*a[1]^3*a[2]*a[6]^2*a[10] + 
        360*a[1]^7*a[2]*a[6]^2*a[10] + 
        42*a[1]*a[2]^5*a[7]*a[10] + 
        1260*a[1]^4*a[2]^5*a[7]*a[10] + 
        60*a[1]^2*a[2]*a[5]*a[7]*a[10] + 
        210*a[1]^4*a[2]*a[5]*a[7]*
         a[10] + 720*a[1]^7*a[2]*a[5]*
         a[7]*a[10] + 30*a[1]^4*a[6]*
         a[7]*a[10] + 42*a[1]^5*a[6]*
         a[7]*a[10] + 90*a[1]^8*a[6]*
         a[7]*a[10] + 280*a[1]^3*a[2]^4*
         a[8]*a[10] + 1260*a[1]^5*a[2]^4*
         a[8]*a[10] + 20*a[1]^3*a[5]*
         a[8]*a[10] + 56*a[1]^6*a[5]*
         a[8]*a[10] + 90*a[1]^8*a[5]*
         a[8]*a[10] + 504*a[1]^5*a[2]^3*
         a[9]*a[10] + 840*a[1]^6*a[2]^3*
         a[9]*a[10] + 360*a[1]^7*a[2]^2*
         a[10]^2 + 11*a[1]*a[2]^10*
         a[11] + 2310*a[1]^4*a[2]^6*a[5]*
         a[11] + 60*a[1]*a[2]^2*a[5]^2*
         a[11] + 1980*a[1]^7*a[2]^2*
         a[5]^2*a[11] + 6*a[2]^5*a[6]*
         a[11] + 2772*a[1]^5*a[2]^5*a[6]*
         a[11] + 60*a[1]^2*a[2]*a[5]*
         a[6]*a[11] + 120*a[1]^3*a[2]*
         a[5]*a[6]*a[11] + 990*a[1]^8*
         a[2]*a[5]*a[6]*a[11] + 
        30*a[1]^4*a[6]^2*a[11] + 
        55*a[1]^9*a[6]^2*a[11] + 
        105*a[1]^2*a[2]^4*a[7]*a[11] + 
        2310*a[1]^6*a[2]^4*a[7]*a[11] + 
        20*a[1]^3*a[5]*a[7]*a[11] + 
        42*a[1]^5*a[5]*a[7]*a[11] + 
        110*a[1]^9*a[5]*a[7]*a[11] + 
        280*a[1]^4*a[2]^3*a[8]*a[11] + 
        1320*a[1]^7*a[2]^3*a[8]*a[11] + 
        252*a[1]^6*a[2]^2*a[9]*a[11] + 
        495*a[1]^8*a[2]^2*a[9]*a[11] + 
        2*a[2]*a[10]*a[11] + 
        90*a[1]^8*a[2]*a[10]*a[11] + 
        110*a[1]^9*a[2]*a[10]*a[11] + 
        11*a[1]^10*a[11]^2 + 
        2*a[3]^5*(3*a[6]^2 + 
          7*(3*a[1]*a[5]*a[7] + 
            4*a[2]^3*a[8] + 54*a[1]^2*
             a[2]^2*a[9] + 90*a[1]^4*
             a[2]*a[10] + 33*a[1]^6*
             a[11])) + 220*a[1]^3*a[2]^9*
         a[12] + 5544*a[1]^6*a[2]^5*a[5]*
         a[12] + 60*a[1]^2*a[2]*a[5]^2*
         a[12] + 660*a[1]^9*a[2]*a[5]^2*
         a[12] + 30*a[1]*a[2]^4*a[6]*
         a[12] + 3960*a[1]^7*a[2]^4*a[6]*
         a[12] + 20*a[1]^3*a[5]*a[6]*
         a[12] + 30*a[1]^4*a[5]*a[6]*
         a[12] + 132*a[1]^10*a[5]*a[6]*
         a[12] + 140*a[1]^3*a[2]^3*a[7]*
         a[12] + 1980*a[1]^8*a[2]^3*a[7]*
         a[12] + 168*a[1]^5*a[2]^2*a[8]*
         a[12] + 660*a[1]^9*a[2]^2*a[8]*
         a[12] + 2*a[2]*a[9]*a[12] + 
        72*a[1]^7*a[2]*a[9]*a[12] + 
        132*a[1]^10*a[2]*a[9]*a[12] + 
        10*a[1]^9*a[10]*a[12] + 
        12*a[1]^11*a[10]*a[12] + 
        4*a[4]^3*(5*a[3]^3*a[6] + 
          3*a[6]*a[7] + 15*a[1]^2*a[6]*
           a[7] + 35*a[1]^3*a[6]*a[7] + 
          70*a[1]*a[2]^4*a[8] + 
          3*a[5]*a[8] + 5*a[1]*a[5]*
           a[8] + 70*a[1]^4*a[5]*a[8] + 
          35*a[3]^2*(3*a[1]*a[2]*a[7] + 
            4*a[1]^3*a[8]) + 420*a[1]^3*
           a[2]^3*a[9] + 15*a[2]^2*
           (a[5]*a[6] + 42*a[1]^5*
             a[10]) + a[3]*
           (5*(1 + 6*a[1])*a[5]*a[6] + 
            35*a[2]^3*a[7] + 420*a[1]^2*
             a[2]^2*a[8] + 630*a[1]^4*
             a[2]*a[9] + 
            3*(1 + 70*a[1]^6)*a[10]) + 
          a[2]*(30*a[1]*a[6]^2 + 
            5*a[5]*a[7] + 105*a[1]^2*
             a[5]*a[7] + 3*a[11] + 
            330*a[1]^7*a[11]) + 
          3*a[1]*a[12] + 55*a[1]^9*
           a[12]) + 1287*a[1]^5*a[2]^8*
         a[13] + 5*a[2]^4*a[5]*a[13] + 
        6435*a[1]^8*a[2]^4*a[5]*a[13] + 
        20*a[1]^3*a[5]^2*a[13] + 
        78*a[1]^11*a[5]^2*a[13] + 
        60*a[1]^2*a[2]^3*a[6]*a[13] + 
        2860*a[1]^9*a[2]^3*a[6]*a[13] + 
        105*a[1]^4*a[2]^2*a[7]*a[13] + 
        858*a[1]^10*a[2]^2*a[7]*a[13] + 
        2*a[2]*a[8]*a[13] + 56*a[1]^6*
         a[2]*a[8]*a[13] + 156*a[1]^11*
         a[2]*a[8]*a[13] + 9*a[1]^8*a[9]*
         a[13] + 13*a[1]^12*a[9]*a[13] + 
        5*a[3]^4*(21*a[1]^2*a[7]^2 + 
          6*a[1]*a[6]*a[8] + 56*a[1]^3*
           a[6]*a[8] + 126*a[1]*a[2]^4*
           a[9] + a[5]*a[9] + 126*a[1]^4*
           a[5]*a[9] + 840*a[1]^3*a[2]^3*
           a[10] + 21*a[2]^2*
           (a[5]*a[7] + 66*a[1]^5*
             a[11]) + 6*a[2]*
           ((1 + 7*a[1])*a[6]*a[7] + 
            4*a[1]^2*(7*a[5]*a[8] + 
             33*a[1]^5*a[12])) + 
          143*a[1]^9*a[13]) + 
        3432*a[1]^7*a[2]^7*a[14] + 
        20*a[1]*a[2]^3*a[5]*a[14] + 
        4004*a[1]^10*a[2]^3*a[5]*a[14] + 
        60*a[1]^3*a[2]^2*a[6]*a[14] + 
        1092*a[1]^11*a[2]^2*a[6]*a[14] + 
        2*a[2]*a[7]*a[14] + 42*a[1]^5*
         a[2]*a[7]*a[14] + 182*a[1]^12*
         a[2]*a[7]*a[14] + 8*a[1]^7*a[8]*
         a[14] + 14*a[1]^13*a[8]*a[14] + 
        5005*a[1]^9*a[2]^6*a[15] + 
        30*a[1]^2*a[2]^2*a[5]*a[15] + 
        1365*a[1]^12*a[2]^2*a[5]*a[15] + 
        2*a[2]*a[6]*a[15] + 30*a[1]^4*
         a[2]*a[6]*a[15] + 210*a[1]^13*
         a[2]*a[6]*a[15] + 7*a[1]^6*a[7]*
         a[15] + 15*a[1]^14*a[7]*a[15] + 
        a[3]^3*(10*(2 + 21*a[1]^2)*
           a[5]^2*a[7] + 280*a[1]^4*
           a[8]^2 + 84*a[2]^6*a[9] + 
          140*a[1]^3*a[7]*a[9] + 
          504*a[1]^5*a[7]*a[9] + 
          2520*a[1]^2*a[2]^5*a[10] + 
          60*a[1]^2*a[6]*a[10] + 
          840*a[1]^6*a[6]*a[10] + 
          11550*a[1]^4*a[2]^4*a[11] + 
          10*a[5]*((1 + 12*a[1])*
             a[6]^2 + 2*a[1]*(1 + 
             66*a[1]^6)*a[11]) + 
          140*a[2]^3*(a[6]*a[7] + 
            8*a[1]*a[5]*a[8] + 
            132*a[1]^6*a[12]) + 
          30*a[2]^2*(14*a[1]*a[7]^2 + 
            2*a[6]*a[8] + 56*a[1]^2*a[6]*
             a[8] + 168*a[1]^3*a[5]*
             a[9] + 429*a[1]^8*a[13]) + 
          4*a[2]*(15*a[5]^2*a[6] + 
            5*(1 + 252*a[1]^5)*a[5]*
             a[10] + a[1]*(105*a[1]*a[7]*
             a[8] + 280*a[1]^2*a[7]*a[
             8] + 30*a[6]*a[9] + 
             630*a[1]^3*a[6]*a[9] + 
             1001*a[1]^9*a[14])) + 
          3*a[15] + 455*a[1]^12*a[15]) + 
        3*a[4]^2*(4*a[5]*a[6]^2 + 
          10*a[1]*a[5]*a[6]^2 + 
          60*a[1]^2*a[5]*a[6]^2 + 
          35*a[1]*a[3]^4*a[7] + 
          4*a[5]^2*a[7] + 20*a[1]*a[5]^2*
           a[7] + 70*a[1]^3*a[5]^2*
           a[7] + 4*a[1]*a[8]^2 + 
          56*a[1]^5*a[8]^2 + 84*a[1]*
           a[2]^6*a[9] + 8*a[1]*a[7]*
           a[9] + 35*a[1]^4*a[7]*a[9] + 
          84*a[1]^6*a[7]*a[9] + 
          70*a[3]^3*(a[2]^2*a[7] + 
            8*a[1]^2*a[2]*a[8] + 
            6*a[1]^4*a[9]) + 840*a[1]^3*
           a[2]^5*a[10] + 8*a[1]*a[6]*
           a[10] + 20*a[1]^3*a[6]*
           a[10] + 120*a[1]^7*a[6]*
           a[10] + 8*a[1]*a[5]*a[11] + 
          10*a[1]^2*a[5]*a[11] + 
          165*a[1]^8*a[5]*a[11] + 
          35*a[2]^4*(a[5]*a[7] + 
            66*a[1]^5*a[11]) + 
          2*a[3]^2*(30*a[1]*a[6]^2 + 
            5*a[5]*a[7] + 105*a[1]^2*
             a[5]*a[7] + 280*a[1]*a[2]^3*
             a[8] + 1260*a[1]^3*a[2]^2*
             a[9] + 30*a[2]*(a[5]*a[6] + 
             42*a[1]^5*a[10]) + 
            2*a[11] + 330*a[1]^7*
             a[11]) + 20*a[2]^3*
           ((1 + 7*a[1])*a[6]*a[7] + 
            4*a[1]^2*(7*a[5]*a[8] + 
             33*a[1]^5*a[12])) + 
          2*a[2]^2*(105*a[1]^2*a[7]^2 + 
            30*a[1]*a[6]*a[8] + 
            280*a[1]^3*a[6]*a[8] + 
            5*a[5]*a[9] + 630*a[1]^4*
             a[5]*a[9] + 2*a[13] + 
            715*a[1]^9*a[13]) + 
          a[3]*(10*a[5]^3 + 4*a[7]^2 + 
            140*a[1]^3*a[7]^2 + 
            56*a[2]^5*a[8] + 8*a[6]*
             a[8] + 60*a[1]^2*a[6]*
             a[8] + 280*a[1]^4*a[6]*
             a[8] + 1260*a[1]^2*a[2]^4*
             a[9] + 4*a[5]*(5*a[2]*a[
             8] + 280*a[1]^3*a[2]*a[8] + 
             2*a[9] + 126*a[1]^5*a[9] + 
             5*a[1]*(21*a[2]^2*a[7] + 
             a[9])) + 4200*a[1]^4*a[2]^3*
             a[10] + 60*a[2]^2*(a[6]^2 + 
             77*a[1]^6*a[11]) + 
            4*a[2]*(30*a[1]*a[6]*a[7] + 
             105*a[1]^2*a[6]*a[7] + 
             2*a[12] + 495*a[1]^8*a[
             12]) + a[13] + 8*a[1]*
             a[13] + 286*a[1]^10*
             a[13]) + 4*a[2]*
           (5*(1 + 3*a[1])*a[5]^2*a[6] + 
            (2 + 35*a[1]^3 + 70*a[1]^4)*
             a[7]*a[8] + 2*a[6]*a[9] + 
            15*a[1]^2*a[6]*a[9] + 
            126*a[1]^5*a[6]*a[9] + 
            (2 + 5*a[1] + 210*a[1]^6)*
             a[5]*a[10] + 2*a[1]*a[14] + 
            91*a[1]^11*a[14]) + 
          4*a[1]^2*a[15] + 35*a[1]^13*
           a[15]) + 4368*a[1]^11*a[2]^5*
         a[16] + 2*a[2]*a[5]*a[16] + 
        20*a[1]^3*a[2]*a[5]*a[16] + 
        240*a[1]^14*a[2]*a[5]*a[16] + 
        6*a[1]^5*a[6]*a[16] + 
        16*a[1]^15*a[6]*a[16] + 
        2380*a[1]^13*a[2]^4*a[17] + 
        5*a[1]^4*a[5]*a[17] + 
        17*a[1]^16*a[5]*a[17] + 
        a[3]^2*(10*a[5]^4 + 6*a[5]^2*
           (10*a[2]*a[8] + 280*a[1]^3*
             a[2]*a[8] + 126*a[1]^5*
             a[9] + 5*a[1]*(21*a[2]^2*a[
             7] + 2*a[9])) + 252*a[1]^6*
           (a[9]^2 + 10*a[2]*a[7]*
             a[10]) + 495*a[1]^8*a[7]*
           a[11] + 30*a[1]^2*
           (6*a[6]^2*a[7] + 7*a[2]^2*
             a[7]*(8*a[2]*a[8] + 
             3*a[9]) + 6*a[2]*a[6]*
             a[11]) + 105*a[1]^4*
           (36*a[2]^2*a[7]*a[9] + 
            8*a[2]*a[8]*a[9] + 
            a[7]*a[11]) + 168*a[1]^5*
           (9*a[2]*a[8]*a[9] + 45*a[2]^2*
             a[6]*a[10] + a[8]*a[10] + 
            99*a[2]^5*a[12]) + 
          30*a[1]^3*(7*a[6]^2*a[7] + 
            14*a[2]*(4*a[2]*a[8]^2 + 
             a[7]*a[10] + 11*a[2]^5*a[
             11]) + 2*a[6]*(84*a[2]^3*a[
             9] + a[12])) + 180*a[1]^7*
           (2*a[8]*a[10] + 22*a[2]*a[6]*
             a[11] + 143*a[2]^4*a[13]) + 
          6*a[5]*(70*a[1]^3*a[7]^2 + 
            28*a[2]^5*a[8] + 140*a[1]^4*
             a[6]*a[8] + 5*a[1]*
             (a[7]^2 + 2*a[6]*a[8]) + 
            630*a[1]^2*a[2]^4*a[9] + 
            2100*a[1]^4*a[2]^3*a[10] + 
            5*a[2]^2*(6*a[6]^2 + 
             (1 + 462*a[1]^6)*a[11]) + 
            10*a[2]*((1 + 6*a[1] + 
             21*a[1]^2)*a[6]*a[7] + 
             a[1]*(1 + 99*a[1]^7)*a[
             12]) + a[13] + 143*a[1]^10*
             a[13] + 5*a[1]^2*
             (6*a[6]*a[8] + a[13])) + 
          220*a[1]^9*(3*a[6]*a[12] + 
            91*a[2]^3*a[14]) + 
          8190*a[1]^11*a[2]^2*a[15] + 
          1680*a[1]^13*a[2]*a[16] + 
          3*(35*a[2]^4*a[7]^2 + 
            20*a[2]^3*a[6]*a[9] + 
            a[9]^2 + 2*(a[8]*a[10] + 
             a[7]*a[11] + a[6]*a[12]) + 
            2*a[2]*a[16]) + 136*a[1]^15*
           a[17] + 6*a[1]*
           (30*a[2]*a[6]^3 + 140*a[2]^4*
             a[6]*a[8] + 70*a[2]^3*a[7]*
             a[8] + 60*a[2]^7*a[10] + 
            30*a[2]^2*a[6]*a[10] + 
            a[17])) + 816*a[1]^15*a[2]^3*
         a[18] + 2*a[4]*(2*a[5]^3*a[6] + 
          30*a[1]*a[5]^3*a[6] + 
          30*a[1]^2*a[5]^3*a[6] + 
          6*a[1]*a[6]*a[7]^2 + 
          30*a[1]^3*a[6]*a[7]^2 + 
          105*a[1]^4*a[6]*a[7]^2 + 
          84*a[1]^2*a[3]^5*a[8] + 
          6*a[1]*a[6]^2*a[8] + 
          60*a[1]^3*a[6]^2*a[8] + 
          84*a[1]^5*a[6]^2*a[8] + 
          12*a[1]*a[5]*a[7]*a[8] + 
          30*a[1]^2*a[5]*a[7]*a[8] + 
          105*a[1]^4*a[5]*a[7]*a[8] + 
          168*a[1]^5*a[5]*a[7]*a[8] + 
          12*a[1]*a[5]*a[6]*a[9] + 
          30*a[1]^2*a[5]*a[6]*a[9] + 
          60*a[1]^3*a[5]*a[6]*a[9] + 
          252*a[1]^6*a[5]*a[6]*a[9] + 
          45*a[1]*a[2]^8*a[10] + 
          6*a[1]*a[5]^2*a[10] + 
          30*a[1]^2*a[5]^2*a[10] + 
          180*a[1]^7*a[5]^2*a[10] + 
          6*a[1]^2*a[9]*a[10] + 
          36*a[1]^7*a[9]*a[10] + 
          45*a[1]^8*a[9]*a[10] + 
          15*a[3]^4*(a[5]*a[6] + 
            42*a[1]^5*a[10]) + 
          6*a[1]^2*a[8]*a[11] + 
          28*a[1]^6*a[8]*a[11] + 
          55*a[1]^9*a[8]*a[11] + 
          12*a[2]^7*(3*a[3]*a[9] + 
            55*a[1]^3*a[11]) + 
          6*a[1]^2*a[7]*a[12] + 
          21*a[1]^5*a[7]*a[12] + 
          66*a[1]^10*a[7]*a[12] + 
          28*a[2]^6*(a[5]*a[8] + 
            45*a[1]^2*a[3]*a[10] + 
            99*a[1]^5*a[12]) + 
          2*a[3]^3*(30*a[1]*a[6]*a[7] + 
            105*a[1]^2*a[6]*a[7] + 
            5*a[5]*a[8] + 280*a[1]^3*
             a[5]*a[8] + a[12] + 
            495*a[1]^8*a[12]) + 
          6*a[1]^2*a[6]*a[13] + 
          15*a[1]^4*a[6]*a[13] + 
          78*a[1]^11*a[6]*a[13] + 
          3*a[2]^5*(7*a[7]^2 + 
            2*a[1]*(28*a[6]*a[8] + 
             3*(42*a[3]^2*a[9] + 42*a[1]*
             a[5]*a[9] + 385*a[1]^3*a[3]*
             a[11] + 286*a[1]^6*
             a[13]))) + 6*a[1]^2*a[5]*
           a[14] + 10*a[1]^3*a[5]*
           a[14] + 91*a[1]^12*a[5]*
           a[14] + 5*a[2]^4*
           (28*a[3]^3*a[8] + 21*a[1]*
             a[7]*a[8] + 84*a[1]^2*a[7]*
             a[8] + 3*a[6]*a[9] + 
            252*a[1]^3*a[6]*a[9] + 
            1260*a[1]^3*a[3]^2*a[10] + 
            630*a[1]^4*a[5]*a[10] + 
            21*a[3]*(a[6]*a[7] + 
             8*a[1]*a[5]*a[8] + 132*a[1]^
             6*a[12]) + 1001*a[1]^9*
             a[14]) + 3*a[3]^2*
           (10*(1 + 3*a[1])*a[5]^2*
             a[6] + 2*(1 + 35*a[1]^3 + 
             70*a[1]^4)*a[7]*a[8] + 
            2*a[6]*a[9] + 30*a[1]^2*a[6]*
             a[9] + 252*a[1]^5*a[6]*
             a[9] + 2*(1 + 5*a[1] + 
             210*a[1]^6)*a[5]*a[10] + 
            a[14] + 2*a[1]*a[14] + 
            182*a[1]^11*a[14]) + 
          2*a[2]^3*(105*a[1]*a[5]^2*
             a[7] + 30*a[3]*a[6]*a[8] + 
            280*a[1]^3*a[8]^2 + 
            630*a[1]^4*a[7]*a[9] + 
            105*a[1]^2*(8*a[3]*a[6]*a[
             8] + 12*a[3]^3*a[9] + 
             a[7]*a[9]) + 30*a[1]*
             (7*a[3]*a[7]^2 + a[6]*a[
             10]) + 5*a[5]*(6*a[6]^2 + 
             21*a[3]^2*a[7] + 504*a[1]^
             3*a[3]*a[9] + a[11] + 
             462*a[1]^6*a[11]) + 
            630*a[1]^5*(2*a[6]*a[10] + 
             11*a[3]^2*a[11]) + 
            6435*a[1]^8*a[3]*a[13] + 
            a[15] + 1365*a[1]^11*
             a[15]) + 6*a[2]^2*
           (5*a[5]*a[6]*a[7] + 
            70*a[1]*a[3]^4*a[8] + 
            5*a[5]^2*a[8] + a[8]*a[9] + 
            70*a[1]^4*a[8]*a[9] + 
            126*a[1]^5*a[8]*a[9] + 
            1050*a[1]^4*a[3]^3*a[10] + 
            a[7]*a[10] + 210*a[1]^6*a[7]*
             a[10] + 35*a[1]^3*
             (4*a[5]^2*a[8] + a[7]*a[
             10]) + a[6]*a[11] + 
            330*a[1]^7*a[6]*a[11] + 
            15*a[1]^2*a[6]*(7*a[5]*a[
             7] + a[11]) + a[5]*a[12] + 
            495*a[1]^8*a[5]*a[12] + 
            15*a[3]^2*((1 + 7*a[1])*a[6]*
             a[7] + 4*a[1]^2*(7*a[5]*
             a[8] + 33*a[1]^5*a[12])) + 
            a[3]*(15*a[5]^2*a[6] + 
             105*a[1]^2*a[7]*a[8] + 
             280*a[1]^3*a[7]*a[8] + 
             30*a[1]*a[6]*a[9] + 
             630*a[1]^4*a[6]*a[9] + 
             5*(1 + 252*a[1]^5)*a[5]*a[
             10] + a[14] + 1001*a[1]^10*
             a[14]) + 140*a[1]^13*
             a[16] + a[1]*(15*a[6]^3 + 
             30*a[5]*a[6]*a[7] + 
             5*a[5]*a[12] + a[16])) + 
          a[3]*((2 + 90*a[1]^2)*a[6]^3 + 
            3*a[6]*(4*(1 + 5*a[1] + 
             15*a[1]^2 + 35*a[1]^3)*a[5]*
             a[7] + (1 + 4*a[1] + 
             20*a[1]^3 + 165*a[1]^8)*a[
             11]) + 3*(2*(1 + 10*a[1] + 
             70*a[1]^4)*a[5]^2*a[8] + 
             (1 + 4*a[1] + 56*a[1]^5 + 
             84*a[1]^6)*a[8]*a[9] + 
             a[7]*a[10] + 4*a[1]*a[7]*a[
             10] + 35*a[1]^4*a[7]*a[
             10] + 120*a[1]^7*a[7]*a[
             10] + (1 + 4*a[1] + 
             10*a[1]^2 + 220*a[1]^9)*a[
             5]*a[12] + a[1]*a[16] + 
             2*a[1]^2*a[16] + 40*a[1]^14*
             a[16])) + a[2]*(10*a[5]^4 + 
            21*a[3]^5*a[7] + 6*a[6]^2*
             a[7] + 180*a[1]^2*a[6]^2*
             a[7] + 210*a[1]^3*a[6]^2*
             a[7] + 1260*a[1]^3*a[3]^4*
             a[9] + 6*a[1]*a[9]^2 + 
            252*a[1]^6*a[9]^2 + 
            6*a[5]^2*(5*(2 + 21*a[1]^2)*
             a[3]*a[7] + (1 + 10*a[1] + 
             126*a[1]^5)*a[9]) + 
            12*a[1]*a[8]*a[10] + 
            168*a[1]^5*a[8]*a[10] + 
            360*a[1]^7*a[8]*a[10] + 
            12*a[1]*a[7]*a[11] + 
            105*a[1]^4*a[7]*a[11] + 
            495*a[1]^8*a[7]*a[11] + 
            60*a[3]^3*(a[6]^2 + 77*a[1]^
             6*a[11]) + 12*a[1]*a[6]*
             a[12] + 60*a[1]^3*a[6]*
             a[12] + 660*a[1]^9*a[6]*
             a[12] + 6*a[3]^2*
             (105*a[1]^2*a[7]^2 + 
             30*a[1]*a[6]*a[8] + 
             280*a[1]^3*a[6]*a[8] + 
             a[13] + 715*a[1]^9*a[13]) + 
            6*a[5]*(70*a[1]*a[3]^3*a[
             7] + (1 + 5*a[1] + 
             70*a[1]^3)*a[7]^2 + 
             2*a[6]*a[8] + 10*a[1]*a[6]*
             a[8] + 30*a[1]^2*a[6]*a[
             8] + 140*a[1]^4*a[6]*a[8] + 
             5*(1 + 126*a[1]^4)*a[3]^2*a[
             9] + a[3]*((5 + 60*a[1])*
             a[6]^2 + 2*(1 + 5*a[1] + 
             330*a[1]^7)*a[11]) + 
             2*a[1]*a[13] + 5*a[1]^2*a[
             13] + 143*a[1]^10*a[13]) + 
            3*a[3]*((2 + 280*a[1]^4)*
             a[8]^2 + 4*(1 + 35*a[1]^3 + 
             126*a[1]^5)*a[7]*a[9] + 
             4*a[6]*a[10] + 60*a[1]^2*a[
             6]*a[10] + 840*a[1]^6*a[6]*
             a[10] + a[15] + 4*a[1]*a[
             15] + 455*a[1]^12*a[15]) + 
            a[17] + 6*a[1]^2*a[17] + 
            136*a[1]^15*a[17]) + 
          2*a[1]^3*a[18] + 9*a[1]^17*
           a[18]) + 2*a[2]^2*a[19] + 
        171*a[1]^17*a[2]^2*a[19] + 
        a[3]*(a[7]^3 + 6*a[6]*a[7]*
           a[8] + 3*a[5]*a[8]^2 + 
          3*a[6]^2*a[9] + 6*a[5]*a[7]*
           a[9] + 10*a[2]^9*a[10] + 
          6*a[5]*a[6]*a[10] + 495*a[1]^2*
           a[2]^8*a[11] + 3*a[5]^2*
           a[11] + 110*a[1]^9*a[9]*
           a[11] + 45*a[1]^8*
           (2*a[10]^2 + 11*a[5]^2*
             a[11]) + 72*a[1]^7*
           (10*a[5]*a[6]*a[10] + 
            a[9]*a[11]) + 3960*a[1]^4*
           a[2]^7*a[12] + 132*a[1]^10*
           a[8]*a[12] + 28*a[1]^6*
           (9*a[6]^2*a[9] + 18*a[5]*a[7]*
             a[9] + 2*a[8]*a[12]) + 
          156*a[1]^11*a[7]*a[13] + 
          28*a[2]^6*(2*a[6]*a[8] + 
            18*a[1]*a[5]*a[9] + 
            429*a[1]^6*a[13]) + 
          42*a[1]^5*(8*a[6]*a[7]*a[8] + 
            8*a[5]*a[8]^2 + a[7]*
             a[13]) + 182*a[1]^12*a[6]*
           a[14] + 15*a[1]^4*(7*a[7]^3 + 
            14*a[7]*(a[6]*a[8] + 
             a[5]*a[9]) + 2*a[6]*
             a[14]) + 42*a[2]^5*
           ((1 + 8*a[1])*a[7]*a[8] + 
            3*a[1]^2*(12*a[6]*a[9] + 
             40*a[1]*a[5]*a[10] + 
             143*a[1]^6*a[14])) + 
          210*a[1]^13*a[5]*a[15] + 
          15*a[2]^4*(7*a[5]^2*a[7] + 
            56*a[1]^2*a[8]^2 + 
            14*a[1]*a[7]*a[9] + 
            168*a[1]^3*a[7]*a[9] + 
            2*a[6]*a[10] + 420*a[1]^4*
             a[6]*a[10] + 924*a[1]^5*
             a[5]*a[11] + 1001*a[1]^10*
             a[15]) + 3*a[1]*
           (20*a[5]^2*a[6]^2 + 20*a[5]^3*
             a[7] + a[10]^2 + 
            2*(a[9]*a[11] + a[8]*a[12] + 
             a[7]*a[13] + a[6]*a[14]) + 
            2*a[5]*a[15]) + 20*a[1]^3*
           (7*a[5]^3*a[7] + 6*a[6]*
             (a[7]*a[8] + a[6]*a[9]) + 
            a[5]*(6*a[6]*a[10] + 
             a[15])) + 20*a[2]^3*
           (3*a[6]^3 + 56*a[1]^3*a[8]*
             a[9] + 126*a[1]^4*a[8]*
             a[9] + 252*a[1]^5*a[7]*
             a[10] + 21*a[1]^2*
             (4*a[5]^2*a[8] + a[7]*a[
             10]) + 6*a[6]*((1 + 7*a[1])*
             a[5]*a[7] + a[1]*(1 + 
             77*a[1]^5)*a[11]) + 
            a[5]*a[12] + 792*a[1]^7*a[5]*
             a[12] + 364*a[1]^12*
             a[16]) + 3*a[2]^2*
           (10*a[5]*(a[7]^2 + 2*a[6]*a[
             8]) + 20*a[5]^2*a[9] + 
            504*a[1]^5*a[9]^2 + 
            840*a[1]^6*a[8]*a[10] + 
            140*a[1]^4*(9*a[5]^2*a[9] + 
             2*a[8]*a[10]) + 1320*a[1]^7*
             a[7]*a[11] + 140*a[1]^3*
             (8*a[5]*a[6]*a[8] + 
             a[7]*a[11]) + 1980*a[1]^8*
             a[6]*a[12] + 30*a[1]^2*
             (7*a[6]^2*a[7] + 14*a[5]*
             a[7]^2 + 2*a[6]*a[12]) + 
            2860*a[1]^9*a[5]*a[13] + 
            20*a[1]*(6*a[6]^2*a[7] + 
             6*a[5]*a[6]*a[8] + a[5]*a[
             13]) + a[17] + 680*a[1]^14*
             a[17]) + 2*a[2]*
           (30*(1 + 2*a[1])*a[5]^3*
             a[6] + 90*a[1]^2*a[6]*
             (a[7]^2 + 2*a[6]*a[8]) + 
            60*a[1]*(1 + 21*a[1]^5)*
             a[5]^2*a[10] + 3*a[9]*
             a[10] + 252*a[1]^6*a[9]*
             a[10] + 360*a[1]^7*a[9]*
             a[10] + 3*a[8]*a[11] + 
            168*a[1]^5*a[8]*a[11] + 
            495*a[1]^8*a[8]*a[11] + 
            3*a[7]*a[12] + 660*a[1]^9*
             a[7]*a[12] + 105*a[1]^4*
             (4*a[6]^2*a[8] + a[7]*a[
             12]) + 3*a[6]*a[13] + 
            858*a[1]^10*a[6]*a[13] + 
            60*a[1]^3*a[6]*(7*a[7]^2 + 
             a[13]) + 3*a[5]*
             (140*a[1]^3*a[7]*a[8] + 
             280*a[1]^4*a[7]*a[8] + 
             504*a[1]^5*a[6]*a[9] + 
             20*a[1]*(a[7]*a[8] + 
             a[6]*a[9]) + a[14] + 
             364*a[1]^11*a[14] + 
             10*a[1]^2*(6*a[6]*a[9] + 
             a[14])) + a[18] + 
            3*a[1]*a[18] + 153*a[1]^16*
             a[18]) + 19*a[1]^18*a[19] + 
          3*a[1]^2*(10*a[5]*(a[8]^2 + 
             2*a[7]*a[9] + 2*a[6]*a[
             10]) + 20*a[5]^2*
             (3*a[6]^2 + a[11]) + 
            a[19])) + 2*a[1]*a[2]*
         a[20] + 20*a[1]^19*a[2]*a[20] - 
        b[21]));
        
   a[22] = -((1/(a[1] + a[1]^22))*
       (15*a[3]^4*a[5]^2*a[6] + 
        30*a[3]^2*a[5]^3*a[6] + 
        60*a[1]*a[3]^2*a[5]^3*a[6] + 
        20*a[1]*a[5]^4*a[6] + 
        15*a[1]^2*a[5]^4*a[6] + 
        60*a[1]*a[3]^3*a[6]^3 + 
        20*a[1]*a[3]*a[5]*a[6]^3 + 
        180*a[1]^2*a[3]*a[5]*a[6]^3 + 
        6*a[3]^5*a[6]*a[7] + 
        42*a[1]*a[3]^5*a[6]*a[7] + 
        20*a[3]^3*a[5]*a[6]*a[7] + 
        120*a[1]*a[3]^3*a[5]*a[6]*a[7] + 
        420*a[1]^2*a[3]^3*a[5]*a[6]*
         a[7] + 120*a[1]*a[3]*a[5]^2*
         a[6]*a[7] + 180*a[1]^2*a[3]*
         a[5]^2*a[6]*a[7] + 420*a[1]^3*
         a[3]*a[5]^2*a[6]*a[7] + 
        60*a[1]^3*a[6]^3*a[7] + 
        35*a[1]^4*a[6]^3*a[7] + 
        90*a[1]^2*a[3]^2*a[6]*a[7]^2 + 
        420*a[1]^3*a[3]^2*a[6]*a[7]^2 + 
        30*a[1]^2*a[5]*a[6]*a[7]^2 + 
        60*a[1]^3*a[5]*a[6]*a[7]^2 + 
        210*a[1]^4*a[5]*a[6]*a[7]^2 + 
        3*a[4]^5*(2*a[2]*a[6] + 
          7*a[1]^2*a[7]) + 8*a[1]*a[3]^7*
         a[8] + 168*a[1]^2*a[3]^5*a[5]*
         a[8] + 20*a[3]^3*a[5]^2*a[8] + 
        560*a[1]^3*a[3]^3*a[5]^2*a[8] + 
        60*a[1]*a[3]*a[5]^3*a[8] + 
        280*a[1]^4*a[3]*a[5]^3*a[8] + 
        180*a[1]^2*a[3]^2*a[6]^2*a[8] + 
        420*a[1]^4*a[3]^2*a[6]^2*a[8] + 
        30*a[1]^2*a[5]*a[6]^2*a[8] + 
        120*a[1]^3*a[5]*a[6]^2*a[8] + 
        168*a[1]^5*a[5]*a[6]^2*a[8] + 
        105*a[1]^2*a[3]^4*a[7]*a[8] + 
        280*a[1]^3*a[3]^4*a[7]*a[8] + 
        60*a[1]*a[3]^2*a[5]*a[7]*a[8] + 
        420*a[1]^3*a[3]^2*a[5]*a[7]*
         a[8] + 840*a[1]^4*a[3]^2*a[5]*
         a[7]*a[8] + 60*a[1]^2*a[5]^2*
         a[7]*a[8] + 105*a[1]^4*a[5]^2*
         a[7]*a[8] + 168*a[1]^5*a[5]^2*
         a[7]*a[8] + 3*a[3]*a[7]^2*
         a[8] + 210*a[1]^4*a[3]*a[7]^2*
         a[8] + 168*a[1]^5*a[3]*a[7]^2*
         a[8] + 3*a[3]*a[6]*a[8]^2 + 
        60*a[1]^3*a[3]*a[6]*a[8]^2 + 
        336*a[1]^5*a[3]*a[6]*a[8]^2 + 
        28*a[1]^6*a[8]^3 + 30*a[1]*
         a[3]^4*a[6]*a[9] + 630*a[1]^4*
         a[3]^4*a[6]*a[9] + 60*a[1]*
         a[3]^2*a[5]*a[6]*a[9] + 
        180*a[1]^2*a[3]^2*a[5]*a[6]*
         a[9] + 1512*a[1]^5*a[3]^2*a[5]*
         a[6]*a[9] + 60*a[1]^2*a[5]^2*
         a[6]*a[9] + 60*a[1]^3*a[5]^2*
         a[6]*a[9] + 252*a[1]^6*a[5]^2*
         a[6]*a[9] + 6*a[3]*a[6]*a[7]*
         a[9] + 120*a[1]^3*a[3]*a[6]*
         a[7]*a[9] + 210*a[1]^4*a[3]*
         a[6]*a[7]*a[9] + 504*a[1]^6*
         a[3]*a[6]*a[7]*a[9] + 
        280*a[1]^4*a[3]^3*a[8]*a[9] + 
        504*a[1]^5*a[3]^3*a[8]*a[9] + 
        6*a[3]*a[5]*a[8]*a[9] + 
        60*a[1]^2*a[3]*a[5]*a[8]*a[9] + 
        336*a[1]^5*a[3]*a[5]*a[8]*a[9] + 
        504*a[1]^6*a[3]*a[5]*a[8]*a[9] + 
        42*a[1]^5*a[7]*a[8]*a[9] + 
        56*a[1]^6*a[7]*a[8]*a[9] + 
        72*a[1]^7*a[7]*a[8]*a[9] + 
        15*a[1]^4*a[6]*a[9]^2 + 
        72*a[1]^7*a[6]*a[9]^2 + 
        210*a[1]^4*a[3]^6*a[10] + 
        5*a[3]^4*a[5]*a[10] + 
        1260*a[1]^5*a[3]^4*a[5]*a[10] + 
        60*a[1]*a[3]^2*a[5]^2*a[10] + 
        1260*a[1]^6*a[3]^2*a[5]^2*
         a[10] + 30*a[1]^2*a[5]^3*
         a[10] + 120*a[1]^7*a[5]^3*
         a[10] + 3*a[3]*a[6]^2*a[10] + 
        120*a[1]^3*a[3]*a[6]^2*a[10] + 
        360*a[1]^7*a[3]*a[6]^2*a[10] + 
        140*a[1]^3*a[3]^3*a[7]*a[10] + 
        840*a[1]^6*a[3]^3*a[7]*a[10] + 
        6*a[3]*a[5]*a[7]*a[10] + 
        60*a[1]^2*a[3]*a[5]*a[7]*a[10] + 
        210*a[1]^4*a[3]*a[5]*a[7]*
         a[10] + 720*a[1]^7*a[3]*a[5]*
         a[7]*a[10] + 42*a[1]^5*a[7]^2*
         a[10] + 45*a[1]^8*a[7]^2*
         a[10] + 30*a[1]^4*a[6]*a[8]*
         a[10] + 56*a[1]^6*a[6]*a[8]*
         a[10] + 90*a[1]^8*a[6]*a[8]*
         a[10] + 6*a[3]^2*a[9]*a[10] + 
        252*a[1]^6*a[3]^2*a[9]*a[10] + 
        360*a[1]^7*a[3]^2*a[9]*a[10] + 
        20*a[1]^3*a[5]*a[9]*a[10] + 
        72*a[1]^7*a[5]*a[9]*a[10] + 
        90*a[1]^8*a[5]*a[9]*a[10] + 
        a[4]^4*(15*a[3]^2*a[6] + 
          5*(1 + 6*a[1])*a[5]*a[6] + 
          35*a[2]^3*a[7] + 420*a[1]^2*
           a[2]^2*a[8] + 70*a[3]*
           (3*a[1]*a[2]*a[7] + 4*a[1]^3*
             a[8]) + 630*a[1]^4*a[2]*
           a[9] + 4*a[10] + 210*a[1]^6*
           a[10]) + a[2]^11*a[11] + 
        60*a[1]^2*a[3]^3*a[6]*a[11] + 
        1320*a[1]^7*a[3]^3*a[6]*a[11] + 
        6*a[3]*a[5]*a[6]*a[11] + 
        60*a[1]^2*a[3]*a[5]*a[6]*a[11] + 
        120*a[1]^3*a[3]*a[5]*a[6]*
         a[11] + 990*a[1]^8*a[3]*a[5]*
         a[6]*a[11] + 30*a[1]^4*a[6]*
         a[7]*a[11] + 42*a[1]^5*a[6]*
         a[7]*a[11] + 110*a[1]^9*a[6]*
         a[7]*a[11] + 6*a[3]^2*a[8]*
         a[11] + 168*a[1]^5*a[3]^2*a[8]*
         a[11] + 495*a[1]^8*a[3]^2*a[8]*
         a[11] + 20*a[1]^3*a[5]*a[8]*
         a[11] + 56*a[1]^6*a[5]*a[8]*
         a[11] + 110*a[1]^9*a[5]*a[8]*
         a[11] + 6*a[1]*a[3]*a[10]*
         a[11] + 90*a[1]^8*a[3]*a[10]*
         a[11] + 110*a[1]^9*a[3]*a[10]*
         a[11] + 66*a[1]^2*a[2]^10*
         a[12] + 792*a[1]^7*a[3]^5*
         a[12] + 20*a[1]*a[3]^3*a[5]*
         a[12] + 1980*a[1]^8*a[3]^3*a[5]*
         a[12] + 3*a[3]*a[5]^2*a[12] + 
        60*a[1]^2*a[3]*a[5]^2*a[12] + 
        660*a[1]^9*a[3]*a[5]^2*a[12] + 
        30*a[1]^4*a[6]^2*a[12] + 
        66*a[1]^10*a[6]^2*a[12] + 
        6*a[3]^2*a[7]*a[12] + 
        105*a[1]^4*a[3]^2*a[7]*a[12] + 
        660*a[1]^9*a[3]^2*a[7]*a[12] + 
        20*a[1]^3*a[5]*a[7]*a[12] + 
        42*a[1]^5*a[5]*a[7]*a[12] + 
        132*a[1]^10*a[5]*a[7]*a[12] + 
        6*a[1]*a[3]*a[9]*a[12] + 
        72*a[1]^7*a[3]*a[9]*a[12] + 
        132*a[1]^10*a[3]*a[9]*a[12] + 
        11*a[1]^10*a[11]*a[12] + 
        12*a[1]^11*a[11]*a[12] + 
        6*a[3]^2*a[6]*a[13] + 
        60*a[1]^3*a[3]^2*a[6]*a[13] + 
        858*a[1]^10*a[3]^2*a[6]*a[13] + 
        20*a[1]^3*a[5]*a[6]*a[13] + 
        30*a[1]^4*a[5]*a[6]*a[13] + 
        156*a[1]^11*a[5]*a[6]*a[13] + 
        6*a[1]*a[3]*a[8]*a[13] + 
        56*a[1]^6*a[3]*a[8]*a[13] + 
        156*a[1]^11*a[3]*a[8]*a[13] + 
        10*a[1]^9*a[10]*a[13] + 
        13*a[1]^12*a[10]*a[13] + 
        55*a[2]^9*(2*a[1]*a[3]*a[11] + 
          13*a[1]^4*a[13]) + 
        2*a[4]^3*(5*a[5]^3 + 60*a[1]*
           a[3]*a[6]^2 + 70*a[1]*a[3]^3*
           a[7] + 3*a[7]^2 + 70*a[1]^3*
           a[7]^2 + 28*a[2]^5*a[8] + 
          6*a[6]*a[8] + 30*a[1]^2*a[6]*
           a[8] + 140*a[1]^4*a[6]*a[8] + 
          630*a[1]^2*a[2]^4*a[9] + 
          630*a[1]^4*a[3]^2*a[9] + 
          2*a[5]*(105*a[1]*a[2]^2*a[7] + 
            5*(1 + 21*a[1]^2)*a[3]*
             a[7] + 5*a[2]*(6*a[3]*a[
             6] + a[8] + 56*a[1]^3*a[
             8]) + (3 + 5*a[1] + 
             126*a[1]^5)*a[9]) + 
          140*a[2]^3*(4*a[1]*a[3]*a[8] + 
            15*a[1]^4*a[10]) + 
          6*a[3]*a[11] + 660*a[1]^7*a[3]*
           a[11] + 15*a[2]^2*(2*a[6]^2 + 
            7*(a[3]^2*a[7] + 24*a[1]^3*a[
             3]*a[9] + 22*a[1]^6*a[
             11])) + 6*a[2]*
           (10*a[1]*a[6]*a[7] + 
            35*a[1]^2*(a[6]*a[7] + 
             4*a[3]^2*a[8]) + 420*a[1]^5*
             a[3]*a[10] + a[12] + 
            165*a[1]^8*a[12]) + 
          6*a[1]*a[13] + 143*a[1]^10*
           a[13]) + 1001*a[1]^10*a[3]^4*
         a[14] + 6*a[3]^2*a[5]*a[14] + 
        30*a[1]^2*a[3]^2*a[5]*a[14] + 
        1092*a[1]^11*a[3]^2*a[5]*a[14] + 
        20*a[1]^3*a[5]^2*a[14] + 
        91*a[1]^12*a[5]^2*a[14] + 
        6*a[1]*a[3]*a[7]*a[14] + 
        42*a[1]^5*a[3]*a[7]*a[14] + 
        182*a[1]^12*a[3]*a[7]*a[14] + 
        9*a[1]^8*a[9]*a[14] + 
        14*a[1]^13*a[9]*a[14] + 
        3*a[2]^8*(3*a[6]*a[9] + 
          15*a[3]^2*a[10] + 30*a[1]*a[5]*
           a[10] + 660*a[1]^3*a[3]*
           a[12] + 1001*a[1]^6*a[14]) + 
        6*a[1]*a[3]*a[6]*a[15] + 
        30*a[1]^4*a[3]*a[6]*a[15] + 
        210*a[1]^13*a[3]*a[6]*a[15] + 
        8*a[1]^7*a[8]*a[15] + 
        15*a[1]^14*a[8]*a[15] + 
        a[2]^7*(8*a[8]^2 + 
          3*(660*a[1]^2*a[3]^2*a[11] + 
            24*a[3]*(a[5]*a[9] + 
             143*a[1]^5*a[13]) + 
            a[1]*(24*a[7]*a[9] + 
             5*a[1]*(24*a[6]*a[10] + 
             88*a[1]*a[5]*a[11] + 
             429*a[1]^6*a[15])))) + 
        3*a[3]^3*a[16] + 560*a[1]^13*
         a[3]^3*a[16] + 6*a[1]*a[3]*a[5]*
         a[16] + 20*a[1]^3*a[3]*a[5]*
         a[16] + 240*a[1]^14*a[3]*a[5]*
         a[16] + 7*a[1]^6*a[7]*a[16] + 
        16*a[1]^15*a[7]*a[16] + 
        7*a[2]^6*(4*a[5]^2*a[8] + 
          8*a[1]*a[8]*a[9] + 36*a[1]^2*
           a[8]*a[9] + 120*a[1]*a[3]^3*
           a[10] + a[7]*a[10] + 
          120*a[1]^3*a[7]*a[10] + 
          330*a[1]^4*a[6]*a[11] + 
          1980*a[1]^4*a[3]^2*a[12] + 
          72*a[5]*(5*a[1]^2*a[3]*a[10] + 
            11*a[1]^5*a[12]) + 
          8*a[3]*(a[7]*a[8] + 9*a[1]*
             a[6]*a[9] + 429*a[1]^7*
             a[14]) + 1144*a[1]^10*
           a[16]) + a[4]^2*(4*a[6]^3 + 
          90*a[1]^2*a[6]^3 + 24*a[5]*
           a[6]*a[7] + 60*a[1]*a[5]*a[6]*
           a[7] + 180*a[1]^2*a[5]*a[6]*
           a[7] + 420*a[1]^3*a[5]*a[6]*
           a[7] + 12*a[5]^2*a[8] + 
          60*a[1]*a[5]^2*a[8] + 
          420*a[1]^4*a[5]^2*a[8] + 
          105*a[3]^4*(a[2]*a[7] + 
            4*a[1]^2*a[8]) + 36*a[2]^7*
           a[9] + 24*a[1]*a[8]*a[9] + 
          168*a[1]^5*a[8]*a[9] + 
          252*a[1]^6*a[8]*a[9] + 
          1260*a[1]^2*a[2]^6*a[10] + 
          24*a[1]*a[7]*a[10] + 
          105*a[1]^4*a[7]*a[10] + 
          360*a[1]^7*a[7]*a[10] + 
          60*a[3]^3*(a[5]*a[6] + 
            28*a[1]*a[2]^2*a[8] + 
            84*a[1]^3*a[2]*a[9] + 
            42*a[1]^5*a[10]) + 
          6930*a[1]^4*a[2]^5*a[11] + 
          24*a[1]*a[6]*a[11] + 
          60*a[1]^3*a[6]*a[11] + 
          495*a[1]^8*a[6]*a[11] + 
          24*a[1]*a[5]*a[12] + 
          30*a[1]^2*a[5]*a[12] + 
          660*a[1]^9*a[5]*a[12] + 
          105*a[2]^4*(a[6]*a[7] + 
            8*a[1]*a[5]*a[8] + 
            132*a[1]^6*a[12]) + 
          6*a[3]^2*(30*a[1]*a[6]*a[7] + 
            105*a[1]^2*a[6]*a[7] + 
            70*a[2]^4*a[8] + 5*a[5]*
             a[8] + 280*a[1]^3*a[5]*
             a[8] + 1260*a[1]^2*a[2]^3*
             a[9] + 3150*a[1]^4*a[2]^2*
             a[10] + 30*a[2]*(a[6]^2 + 
             7*a[1]*a[5]*a[7] + 77*a[1]^
             6*a[11]) + 2*a[12] + 
            495*a[1]^8*a[12]) + 
          30*a[2]^3*(14*a[1]*a[7]^2 + 
            2*a[6]*a[8] + 56*a[1]^2*a[6]*
             a[8] + 168*a[1]^3*a[5]*
             a[9] + 429*a[1]^8*a[13]) + 
          6*a[2]^2*(15*a[5]^2*a[6] + 
            105*a[1]^2*a[7]*a[8] + 
            280*a[1]^3*a[7]*a[8] + 
            30*a[1]*a[6]*a[9] + 
            630*a[1]^4*a[6]*a[9] + 
            5*(1 + 252*a[1]^5)*a[5]*
             a[10] + 2*a[14] + 
            1001*a[1]^10*a[14]) + 
          3*a[3]*(20*(1 + 3*a[1])*a[5]^2*
             a[6] + 8*a[7]*a[8] + 
            140*a[1]^3*a[7]*a[8] + 
            280*a[1]^4*a[7]*a[8] + 
            504*a[1]*a[2]^5*a[9] + 
            8*a[6]*a[9] + 60*a[1]^2*a[6]*
             a[9] + 504*a[1]^5*a[6]*
             a[9] + 4200*a[1]^3*a[2]^4*
             a[10] + 4*a[5]*(35*a[2]^3*a[
             7] + 420*a[1]^2*a[2]^2*a[
             8] + 5*(1 + 126*a[1]^4)*a[
             2]*a[9] + (2 + 5*a[1] + 
             210*a[1]^6)*a[10]) + 
            9240*a[1]^5*a[2]^3*a[11] + 
            60*a[2]^2*((1 + 7*a[1])*a[6]*
             a[7] + 132*a[1]^7*a[12]) + 
            4*a[2]*(105*a[1]^2*a[7]^2 + 
             30*a[1]*a[6]*a[8] + 
             280*a[1]^3*a[6]*a[8] + 
             2*a[13] + 715*a[1]^9*a[
             13]) + a[14] + 8*a[1]*
             a[14] + 364*a[1]^11*
             a[14]) + 3*a[2]*
           (10*(2 + 21*a[1]^2)*a[5]^2*
             a[7] + 4*(1 + 70*a[1]^4)*
             a[8]^2 + 8*a[7]*a[9] + 
            140*a[1]^3*a[7]*a[9] + 
            504*a[1]^5*a[7]*a[9] + 
            8*a[6]*a[10] + 60*a[1]^2*
             a[6]*a[10] + 840*a[1]^6*
             a[6]*a[10] + 2*a[5]*
             ((5 + 60*a[1])*a[6]^2 + 
             2*(2 + 5*a[1] + 330*a[1]^7)*
             a[11]) + 8*a[1]*a[15] + 
            455*a[1]^12*a[15]) + 
          12*a[1]^2*a[16] + 120*a[1]^14*
           a[16]) + 6*a[1]^5*a[6]*
         a[17] + 17*a[1]^16*a[6]*a[17] + 
        a[2]^5*(21*a[6]^2*a[7] + 
          6*a[6]*(28*a[3]^2*a[8] + 
            56*a[1]*a[5]*a[8] + 
            840*a[1]^3*a[3]*a[10] + 
            a[12] + 924*a[1]^6*a[12]) + 
          2*(378*a[1]^2*a[5]^2*a[9] + 
            3*a[5]*(7*a[7]^2 + 
             6*(42*a[1]*a[3]^2*a[9] + 
             385*a[1]^4*a[3]*a[11] + 
             286*a[1]^7*a[13])) + 
            7*(3*a[3]*(3*a[3]^3 + a[7])*
             a[9] + 90*a[1]^4*a[8]*a[
             10] + 12*a[1]^2*(9*a[3]*
             a[7]*a[9] + a[8]*a[10]) + 
             198*a[1]^5*a[7]*a[11] + 
             12*a[1]^3*(3*a[9]^2 + 
             55*a[3]^3*a[11]) + 3*a[1]*(
             8*a[3]*a[8]^2 + a[7]*
             a[11]) + 2574*a[1]^6*a[3]^
             2*a[13] + 2145*a[1]^9*a[3]*
             a[15] + 442*a[1]^12*a[
             17]))) + 6*a[1]*a[3]^2*
         a[18] + 153*a[1]^16*a[3]^2*
         a[18] + 5*a[1]^4*a[5]*a[18] + 
        18*a[1]^17*a[5]*a[18] + 
        5*a[2]^4*(6*(1 + 14*a[1]^2)*
           a[6]^2*a[8] + 42*a[1]*a[5]*
           a[7]*a[8] + 168*a[1]^2*a[5]*
           a[7]*a[8] + 630*a[1]^2*a[3]^4*
           a[10] + 630*a[1]^4*a[5]^2*
           a[10] + 126*a[1]^4*a[9]*
           a[10] + 252*a[1]^5*a[9]*
           a[10] + 56*a[1]^3*a[8]*
           a[11] + 462*a[1]^6*a[8]*
           a[11] + 21*a[1]^2*a[7]*
           a[12] + 792*a[1]^7*a[7]*
           a[12] + 56*a[3]^3*
           (a[5]*a[8] + 99*a[1]^5*
             a[12]) + 3*a[6]*
           ((1 + 14*a[1])*a[7]^2 + 
            2*(1 + 84*a[1]^3)*a[5]*
             a[9] + a[1]*(2 + 429*a[1]^
             7)*a[13]) + a[5]*a[14] + 
          2002*a[1]^9*a[5]*a[14] + 
          21*a[3]^2*((1 + 8*a[1])*a[7]*
             a[8] + 3*a[1]^2*
             (12*a[6]*a[9] + 40*a[1]*a[
             5]*a[10] + 143*a[1]^6*a[
             14])) + 6*a[3]*
           (28*a[1]*a[5]^2*a[8] + 
            28*a[1]^2*a[8]*a[9] + 
            84*a[1]^3*a[8]*a[9] + 
            7*a[1]*a[7]*a[10] + 
            210*a[1]^4*a[7]*a[10] + 
            a[6]*a[11] + 462*a[1]^5*a[6]*
             a[11] + 7*a[5]*(a[6]*a[7] + 
             132*a[1]^6*a[12]) + 
            728*a[1]^11*a[16]) + 
          612*a[1]^14*a[18]) + 
        a[4]*(6*a[5]^2*a[6]^2 + 
          60*a[1]*a[5]^2*a[6]^2 + 
          180*a[1]^2*a[5]^2*a[6]^2 + 
          7*a[3]^6*a[7] + 4*a[5]^3*
           a[7] + 60*a[1]*a[5]^3*a[7] + 
          140*a[1]^3*a[5]^3*a[7] + 
          4*a[1]*a[7]^3 + 105*a[1]^4*
           a[7]^3 + 24*a[1]*a[6]*a[7]*
           a[8] + 120*a[1]^3*a[6]*a[7]*
           a[8] + 210*a[1]^4*a[6]*a[7]*
           a[8] + 336*a[1]^5*a[6]*a[7]*
           a[8] + 12*a[1]*a[5]*a[8]^2 + 
          30*a[1]^2*a[5]*a[8]^2 + 
          336*a[1]^5*a[5]*a[8]^2 + 
          12*a[1]*a[6]^2*a[9] + 
          120*a[1]^3*a[6]^2*a[9] + 
          252*a[1]^6*a[6]^2*a[9] + 
          24*a[1]*a[5]*a[7]*a[9] + 
          60*a[1]^2*a[5]*a[7]*a[9] + 
          210*a[1]^4*a[5]*a[7]*a[9] + 
          504*a[1]^6*a[5]*a[7]*a[9] + 
          168*a[3]^5*(2*a[1]*a[2]*a[8] + 
            3*a[1]^3*a[9]) + 10*a[2]^9*
           a[10] + 24*a[1]*a[5]*a[6]*
           a[10] + 60*a[1]^2*a[5]*a[6]*
           a[10] + 120*a[1]^3*a[5]*a[6]*
           a[10] + 720*a[1]^7*a[5]*a[6]*
           a[10] + 6*a[1]^2*a[10]^2 + 
          90*a[1]^8*a[10]^2 + 495*a[1]^2*
           a[2]^8*a[11] + 12*a[1]*a[5]^2*
           a[11] + 60*a[1]^2*a[5]^2*
           a[11] + 495*a[1]^8*a[5]^2*
           a[11] + 12*a[1]^2*a[9]*
           a[11] + 72*a[1]^7*a[9]*
           a[11] + 110*a[1]^9*a[9]*
           a[11] + 10*a[3]^4*(3*a[6]^2 + 
            7*(3*a[1]*a[5]*a[7] + 
             4*a[2]^3*a[8] + 54*a[1]^2*
             a[2]^2*a[9] + 90*a[1]^4*a[
             2]*a[10] + 33*a[1]^6*a[
             11])) + 3960*a[1]^4*a[2]^7*
           a[12] + 12*a[1]^2*a[8]*
           a[12] + 56*a[1]^6*a[8]*
           a[12] + 132*a[1]^10*a[8]*
           a[12] + 12*a[1]^2*a[7]*
           a[13] + 42*a[1]^5*a[7]*
           a[13] + 156*a[1]^11*a[7]*
           a[13] + 28*a[2]^6*
           (2*a[6]*a[8] + 18*a[1]*a[5]*
             a[9] + 429*a[1]^6*a[13]) + 
          4*a[3]^3*(105*a[1]^2*a[7]^2 + 
            30*a[1]*a[6]*a[8] + 
            280*a[1]^3*a[6]*a[8] + 
            630*a[1]*a[2]^4*a[9] + 
            5*a[5]*a[9] + 630*a[1]^4*
             a[5]*a[9] + 4200*a[1]^3*
             a[2]^3*a[10] + 105*a[2]^2*
             (a[5]*a[7] + 66*a[1]^5*a[
             11]) + 30*a[2]*
             ((1 + 7*a[1])*a[6]*a[7] + 
             4*a[1]^2*(7*a[5]*a[8] + 
             33*a[1]^5*a[12])) + a[13] + 
            715*a[1]^9*a[13]) + 
          12*a[1]^2*a[6]*a[14] + 
          30*a[1]^4*a[6]*a[14] + 
          182*a[1]^12*a[6]*a[14] + 
          42*a[2]^5*((1 + 8*a[1])*a[7]*
             a[8] + 3*a[1]^2*
             (12*a[6]*a[9] + 40*a[1]*a[
             5]*a[10] + 143*a[1]^6*a[
             14])) + 12*a[1]^2*a[5]*
           a[15] + 20*a[1]^3*a[5]*
           a[15] + 210*a[1]^13*a[5]*
           a[15] + 15*a[2]^4*
           (7*a[5]^2*a[7] + 56*a[1]^2*
             a[8]^2 + 14*a[1]*a[7]*
             a[9] + 168*a[1]^3*a[7]*
             a[9] + 2*a[6]*a[10] + 
            420*a[1]^4*a[6]*a[10] + 
            924*a[1]^5*a[5]*a[11] + 
            1001*a[1]^10*a[15]) + 
          3*a[3]^2*(10*(2 + 21*a[1]^2)*
             a[5]^2*a[7] + 2*a[8]^2 + 
            280*a[1]^4*a[8]^2 + 
            84*a[2]^6*a[9] + 4*a[7]*
             a[9] + 140*a[1]^3*a[7]*
             a[9] + 504*a[1]^5*a[7]*
             a[9] + 2520*a[1]^2*a[2]^5*
             a[10] + 4*a[6]*a[10] + 
            60*a[1]^2*a[6]*a[10] + 
            840*a[1]^6*a[6]*a[10] + 
            11550*a[1]^4*a[2]^4*a[11] + 
            2*a[5]*((5 + 60*a[1])*a[6]^
             2 + 2*(1 + 5*a[1] + 330*
             a[1]^7)*a[11]) + 140*a[2]^3*
             (a[6]*a[7] + 8*a[1]*a[5]*a[
             8] + 132*a[1]^6*a[12]) + 
            30*a[2]^2*(14*a[1]*a[7]^2 + 
             2*a[6]*a[8] + 56*a[1]^2*a[
             6]*a[8] + 168*a[1]^3*a[5]*a[
             9] + 429*a[1]^8*a[13]) + 
            4*a[2]*(15*a[5]^2*a[6] + 
             105*a[1]^2*a[7]*a[8] + 
             280*a[1]^3*a[7]*a[8] + 
             30*a[1]*a[6]*a[9] + 
             630*a[1]^4*a[6]*a[9] + 
             5*(1 + 252*a[1]^5)*a[5]*a[
             10] + a[14] + 1001*a[1]^10*
             a[14]) + 2*a[15] + 
            4*a[1]*a[15] + 455*a[1]^12*
             a[15]) + 4*a[2]^3*
           (15*a[6]^3 + 280*a[1]^3*a[8]*
             a[9] + 630*a[1]^4*a[8]*
             a[9] + 1260*a[1]^5*a[7]*
             a[10] + 105*a[1]^2*
             (4*a[5]^2*a[8] + a[7]*a[
             10]) + 30*a[6]*
             ((1 + 7*a[1])*a[5]*a[7] + 
             a[1]*(1 + 77*a[1]^5)*a[
             11]) + 5*a[5]*a[12] + 
            3960*a[1]^7*a[5]*a[12] + 
            a[16] + 1820*a[1]^12*
             a[16]) + 6*a[2]^2*
           (10*a[5]^2*a[9] + a[9]^2 + 
            252*a[1]^5*a[9]^2 + 
            2*a[8]*a[10] + 420*a[1]^6*
             a[8]*a[10] + 70*a[1]^4*
             (9*a[5]^2*a[9] + 2*a[8]*a[
             10]) + 2*a[7]*a[11] + 
            660*a[1]^7*a[7]*a[11] + 
            70*a[1]^3*(8*a[5]*a[6]*a[
             8] + a[7]*a[11]) + 
            2*a[6]*a[12] + 990*a[1]^8*
             a[6]*a[12] + 15*a[1]^2*
             (7*a[6]^2*a[7] + 14*a[5]*
             a[7]^2 + 2*a[6]*a[12]) + 
            1430*a[1]^9*a[5]*a[13] + 
            a[5]*(5*a[7]^2 + 10*a[6]*a[
             8] + 2*a[13]) + 340*a[1]^14*
             a[17] + 2*a[1]*(30*a[6]^2*a[
             7] + 30*a[5]*a[6]*a[8] + 
             5*a[5]*a[13] + a[17])) + 
          a[3]*(20*a[5]^4 + 12*a[5]^2*
             (10*a[2]*a[8] + 280*a[1]^3*
             a[2]*a[8] + a[9] + 126*a[1]^
             5*a[9] + 5*a[1]*(21*a[2]^2*
             a[7] + 2*a[9])) + 
            504*a[1]^6*(a[9]^2 + 
             10*a[2]*a[7]*a[10]) + 
            990*a[1]^8*a[7]*a[11] + 
            210*a[1]^4*(36*a[2]^2*a[7]*a[
             9] + 8*a[2]*a[8]*a[9] + 
             a[7]*a[11]) + 336*a[1]^5*
             (9*a[2]*a[8]*a[9] + 
             45*a[2]^2*a[6]*a[10] + 
             a[8]*a[10] + 99*a[2]^5*a[
             12]) + 60*a[1]^3*
             (7*a[6]^2*a[7] + 14*a[2]*(
             4*a[2]*a[8]^2 + a[7]*
             a[10] + 11*a[2]^5*a[11]) + 
             2*a[6]*(84*a[2]^3*a[9] + 
             a[12])) + 6*a[5]*
             (2*(1 + 5*a[1] + 70*a[1]^3)*
             a[7]^2 + 56*a[2]^5*a[8] + 
             4*a[6]*a[8] + 20*a[1]*a[6]*
             a[8] + 60*a[1]^2*a[6]*a[
             8] + 280*a[1]^4*a[6]*a[8] + 
             1260*a[1]^2*a[2]^4*a[9] + 
             4200*a[1]^4*a[2]^3*a[10] + 
             10*a[2]^2*(6*a[6]^2 + 
             (1 + 462*a[1]^6)*a[11]) + 
             4*a[2]*(5*(1 + 6*a[1] + 
             21*a[1]^2)*a[6]*a[7] + 
             (1 + 5*a[1] + 495*a[1]^8)*
             a[12]) + a[13] + 4*a[1]*a[
             13] + 10*a[1]^2*a[13] + 
             286*a[1]^10*a[13]) + 
            360*a[1]^7*(2*a[8]*a[10] + 
             22*a[2]*a[6]*a[11] + 
             143*a[2]^4*a[13]) + 
            440*a[1]^9*(3*a[6]*a[12] + 
             91*a[2]^3*a[14]) + 
            16380*a[1]^11*a[2]^2*a[15] + 
            3360*a[1]^13*a[2]*a[16] + 
            3*(4*a[6]^2*a[7] + 70*a[2]^
             4*a[7]^2 + a[9]^2 + 
             2*a[8]*a[10] + 2*a[7]*a[
             11] + 2*a[6]*(20*a[2]^3*
             a[9] + 4*a[2]*a[11] + 
             a[12]) + 4*a[2]^2*a[15] + 
             2*a[2]*(4*a[8]*a[9] + 
             4*a[7]*a[10] + a[16])) + 
            272*a[1]^15*a[17] + 
            12*a[1]^2*(30*a[6]^2*a[7] + 
             280*a[2]^3*a[7]*a[8] + 
             105*a[2]^2*a[7]*a[9] + 
             30*a[2]*a[6]*a[11] + 
             a[17]) + 6*a[1]*
             (280*a[2]^4*a[6]*a[8] + 
             140*a[2]^3*a[7]*a[8] + 
             2*a[9]^2 + 120*a[2]^7*a[
             10] + 60*a[2]^2*a[6]*a[
             10] + 4*a[8]*a[10] + 
             4*a[7]*a[11] + 4*a[6]*a[
             12] + 4*a[2]*(15*a[6]^3 + 
             a[16]) + a[17])) + 
          2*a[2]*(30*(1 + 2*a[1])*a[5]^3*
             a[6] + 6*(1 + 30*a[1]^2 + 
             70*a[1]^4)*a[6]^2*a[8] + 
            6*(1 + 10*a[1] + 210*a[1]^6)*
             a[5]^2*a[10] + 12*a[1]*a[9]*
             a[10] + 252*a[1]^6*a[9]*
             a[10] + 360*a[1]^7*a[9]*
             a[10] + 12*a[1]*a[8]*
             a[11] + 168*a[1]^5*a[8]*
             a[11] + 495*a[1]^8*a[8]*
             a[11] + 12*a[1]*a[7]*
             a[12] + 105*a[1]^4*a[7]*
             a[12] + 660*a[1]^9*a[7]*
             a[12] + 6*a[6]*
             ((1 + 15*a[1]^2 + 70*a[1]^
             3)*a[7]^2 + a[1]*(2 + 
             10*a[1]^2 + 143*a[1]^9)*a[
             13]) + 6*a[5]*
             (2*(1 + 5*a[1] + 35*a[1]^
             3 + 70*a[1]^4)*a[7]*a[8] + 
             2*(1 + 5*a[1] + 15*a[1]^2 + 
             126*a[1]^5)*a[6]*a[9] + 
             a[1]*(2 + 5*a[1] + 182*
             a[1]^10)*a[14]) + a[18] + 
            6*a[1]^2*a[18] + 153*a[1]^16*
             a[18]) + 4*a[1]^3*a[19] + 
          19*a[1]^18*a[19]) + 
        a[2]^3*(140*a[1]*a[5]^3*a[7] + 
          504*a[1]*a[3]^5*a[9] + 
          11550*a[1]^4*a[3]^4*a[11] + 
          10*a[5]^2*(6*a[6]^2 + 
            21*a[3]^2*a[7] + 504*a[1]^3*
             a[3]*a[9] + 
            2*(1 + 231*a[1]^6)*a[11]) + 
          20*a[3]^3*(7*a[7]^2 + 
            56*a[1]*a[6]*a[8] + 
            1716*a[1]^7*a[13]) + 
          30*a[3]^2*(56*a[1]^2*a[8]^2 + 
            14*a[1]*a[7]*a[9] + 
            168*a[1]^3*a[7]*a[9] + 
            2*a[6]*a[10] + 420*a[1]^4*
             a[6]*a[10] + 1001*a[1]^10*
             a[15]) + 10*a[5]*(a[8]^2 + 
            112*a[1]^3*a[8]^2 + 
            2*a[7]*a[9] + 252*a[1]^4*
             a[7]*a[9] + 42*a[1]^2*
             (8*a[3]*a[6]*a[8] + 
             12*a[3]^3*a[9] + a[7]*a[
             9]) + 2*a[6]*a[10] + 
            252*a[1]^5*(2*a[6]*a[10] + 
             11*a[3]^2*a[11]) + 
            2574*a[1]^8*a[3]*a[13] + 
            2*a[3]*(6*a[6]*a[8] + 
             a[13]) + 546*a[1]^11*
             a[15] + 2*a[1]*
             (42*a[3]*a[7]^2 + 6*a[6]*a[
             10] + a[15])) + 20*a[3]*
           (3*(2 + 7*a[1])*a[6]^2*a[7] + 
            6*a[1]*(1 + 132*a[1]^6)*a[6]*
             a[12] + 7*a[1]^2*
             (18*a[1]^2*a[9]^2 + 
             8*a[1]*a[8]*a[10] + 
             36*a[1]^3*a[8]*a[10] + 
             3*a[7]*a[11] + 66*a[1]^4*a[
             7]*a[11] + 68*a[1]^11*a[
             17])) + a[1]*
           (120*a[6]*(a[7]*a[8] + 
             a[6]*a[9]) + 840*a[1]^5*
             a[10]^2 + 504*a[1]^4*a[9]*
             a[11] + 1320*a[1]^6*a[9]*
             a[11] + 1980*a[1]^7*a[8]*
             a[12] + 140*a[1]^3*
             (9*a[6]^2*a[9] + 2*a[8]*a[
             12]) + 2860*a[1]^8*a[7]*
             a[13] + 140*a[1]^2*a[7]*
             (8*a[6]*a[8] + a[13]) + 
            4004*a[1]^9*a[6]*a[14] + 
            30*a[1]*(7*a[7]^3 + 
             14*a[6]*a[7]*a[8] + 
             2*a[6]*a[14]) + 969*a[1]^15*
             a[19])) + 3*a[1]^2*a[3]*
         a[20] + 20*a[1]^19*a[3]*a[20] + 
        a[2]^2*(28*a[3]^6*a[8] + 
          10*(3 + 56*a[1]^3)*a[5]^3*
           a[8] + 420*a[1]^3*a[7]^2*
           a[8] + 420*a[1]^4*a[7]^2*
           a[8] + 90*a[1]^2*a[6]*
           a[8]^2 + 840*a[1]^4*a[6]*
           a[8]^2 + 180*a[1]^2*a[6]*a[7]*
           a[9] + 420*a[1]^3*a[6]*a[7]*
           a[9] + 1512*a[1]^5*a[6]*a[7]*
           a[9] + 2520*a[1]^3*a[3]^5*
           a[10] + 180*a[1]^2*a[6]^2*
           a[10] + 1260*a[1]^6*a[6]^2*
           a[10] + 360*a[1]^7*a[10]*
           a[11] + 495*a[1]^8*a[10]*
           a[11] + 252*a[1]^6*a[9]*
           a[12] + 660*a[1]^9*a[9]*
           a[12] + 105*a[3]^4*
           (a[6]*a[7] + 8*a[1]*a[5]*
             a[8] + 132*a[1]^6*a[12]) + 
          30*a[5]^2*((2 + 6*a[1] + 
             21*a[1]^2)*a[6]*a[7] + 
            a[1]*(2 + 99*a[1]^7)*
             a[12]) + 168*a[1]^5*a[8]*
           a[13] + 858*a[1]^10*a[8]*
           a[13] + 105*a[1]^4*a[7]*
           a[14] + 1092*a[1]^11*a[7]*
           a[14] + 20*a[3]^3*
           (21*a[1]*a[7]*a[8] + 
            84*a[1]^2*a[7]*a[8] + 
            3*a[6]*a[9] + 252*a[1]^3*
             a[6]*a[9] + 630*a[1]^4*a[5]*
             a[10] + 1001*a[1]^9*
             a[14]) + 60*a[1]^3*a[6]*
           a[15] + 1365*a[1]^12*a[6]*
           a[15] + 30*a[3]^2*(3*a[6]^3 + 
            56*a[1]^3*a[8]*a[9] + 
            126*a[1]^4*a[8]*a[9] + 
            252*a[1]^5*a[7]*a[10] + 
            21*a[1]^2*(4*a[5]^2*a[8] + 
             a[7]*a[10]) + 6*a[6]*
             ((1 + 7*a[1])*a[5]*a[7] + 
             a[1]*(1 + 77*a[1]^5)*a[
             11]) + a[5]*a[12] + 
            792*a[1]^7*a[5]*a[12] + 
            364*a[1]^12*a[16]) + 
          2*a[5]*((5 + 90*a[1])*a[6]^3 + 
            30*a[1]*(1 + 3*a[1] + 
             66*a[1]^6)*a[6]*a[11] + 
            3*a[1]*(2*(5 + 70*a[1]^3 + 
             126*a[1]^4)*a[8]*a[9] + 
             5*(2*(1 + 7*a[1]^2 + 
             42*a[1]^5)*a[7]*a[10] + 
             a[1]*(1 + 56*a[1]^11)*
             a[16]))) + 3*a[3]*
           (20*a[5]^3*a[6] + 60*a[1]*
             a[6]*(a[7]^2 + 2*a[6]*a[
             8]) + 20*(1 + 126*a[1]^5)*
             a[5]^2*a[10] + 504*a[1]^5*
             a[9]*a[10] + 840*a[1]^6*
             a[9]*a[10] + 280*a[1]^4*
             a[8]*a[11] + 1320*a[1]^7*
             a[8]*a[11] + 1980*a[1]^8*
             a[7]*a[12] + 140*a[1]^3*
             (4*a[6]^2*a[8] + a[7]*a[
             12]) + 2860*a[1]^9*a[6]*
             a[13] + 60*a[1]^2*a[6]*
             (7*a[7]^2 + a[13]) + 
            4*a[5]*(5*(1 + 21*a[1]^2 + 
             56*a[1]^3)*a[7]*a[8] + 
             5*(1 + 6*a[1] + 126*a[1]^4)*
             a[6]*a[9] + a[1]*(5 + 
             1001*a[1]^9)*a[14]) + 
            a[18] + 816*a[1]^15*a[18]) + 
          2*a[20] + 190*a[1]^18*a[20]) + 
        a[2]*(5*a[5]^5 + 30*a[3]^4*a[6]*
           a[8] + 12*a[5]^3*
           (5*(1 + 7*a[1]^2)*a[3]*a[7] + 
            a[1]*(5 + 42*a[1]^4)*a[9]) + 
          3*a[3]*a[10]^2 + 6*a[3]*a[9]*
           a[11] + a[11]^2 + 6*a[3]*a[8]*
           a[12] + 2*a[10]*a[12] + 
          110*a[1]^9*(a[11]^2 + 
            12*a[3]*a[8]*a[12]) + 
          6*a[1]^2*(10*a[6]^4 + 
            14*a[3]^3*(3*a[3]^3 + 
             5*a[7])*a[9] + 15*a[3]*
             a[6]^2*(7*a[3]*a[7] + 
             4*a[9]) + 10*a[3]*a[6]*
             (14*a[3]^3*a[8] + 6*a[7]*a[
             8] + 3*a[3]*a[12])) + 
          6*a[3]*a[7]*a[13] + 
          2*a[9]*a[13] + 45*a[1]^8*
           (11*a[6]^2*a[11] + 22*a[3]*
             a[9]*a[11] + 132*a[3]^2*
             a[6]*a[12] + 2*a[10]*
             a[12] + 143*a[3]^4*a[13]) + 
          132*a[1]^10*(a[10]*a[12] + 
            13*a[3]*a[7]*a[13]) + 
          72*a[1]^7*(10*a[6]*a[7]*
             a[10] + 10*a[3]*a[10]^2 + 
            55*a[3]^2*a[7]*a[11] + 
            a[9]*a[13]) + 6*a[5]^2*
           (70*a[1]*a[3]^3*a[7] + 
            10*(1 + 63*a[1]^4)*a[3]^2*
             a[9] + 10*a[3]*
             ((1 + 6*a[1])*a[6]^2 + 
             2*a[1]*(1 + 33*a[1]^6)*a[
             11]) + a[1]*(10*(1 + 
             7*a[1]^2)*a[7]^2 + 10*(2 + 
             3*a[1] + 14*a[1]^3)*a[6]*a[
             8] + a[1]*(10 + 143*a[1]^8)*
             a[13])) + 6*a[3]*a[6]*
           a[14] + 2*a[8]*a[14] + 
          182*a[1]^12*a[8]*a[14] + 
          20*a[1]^3*(56*a[3]^3*a[8]^2 + 
            21*a[3]^2*a[7]*a[11] + 
            6*a[6]*(a[8]*a[9] + a[7]*a[
             10] + a[6]*a[11]) + 
            3*a[3]*(7*a[7]^3 + 14*a[6]*a[
             7]*a[8] + 2*a[6]*a[14])) + 
          28*a[1]^6*(9*a[7]^2*a[9] + 
            2*(9*a[6]*a[8]*a[9] + 
             45*a[3]^2*a[8]*a[10] + 
             9*a[3]*a[9]*a[11] + 
             a[8]*a[14])) + 2*a[7]*
           a[15] + 210*a[1]^13*a[7]*
           a[15] + 156*a[1]^11*
           (a[9]*a[13] + 14*a[3]*a[6]*
             a[14] + 35*a[3]^3*a[15]) + 
          42*a[1]^5*(8*a[6]*a[8]*a[9] + 
            36*a[3]^2*a[9]^2 + 
            120*a[3]^3*a[6]*a[10] + 
            66*a[3]^5*a[11] + 4*a[3]*
             (9*a[6]^2*a[9] + 2*a[8]*a[
             12]) + a[7]*(8*a[8]^2 + 
             a[15])) + 2*a[6]*a[16] + 
          15*a[1]^4*(168*a[3]^3*a[7]*
             a[9] + 14*a[7]^2*a[9] + 
            56*a[3]^2*a[8]*a[10] + 
            7*a[7]*(a[8]^2 + 2*a[6]*a[
             10]) + 14*a[3]*a[7]*
             (8*a[6]*a[8] + a[13]) + 
            2*a[6]*a[16]) + 6*a[3]^2*
           a[17] + 120*a[1]^14*
           (2*a[6]*a[16] + 17*a[3]^2*
             a[17]) + 2*a[5]*
           (21*a[3]^5*a[7] + 30*a[1]*
             a[6]^2*a[7] + 1260*a[1]^3*
             a[3]^4*a[9] + 252*a[1]^6*
             a[9]^2 + 168*a[1]^5*a[8]*
             a[10] + 360*a[1]^7*a[8]*
             a[10] + 105*a[1]^4*a[7]*
             a[11] + 495*a[1]^8*a[7]*
             a[11] + 10*a[3]^3*
             (6*a[6]^2 + (1 + 462*a[1]^
             6)*a[11]) + 660*a[1]^9*a[6]*
             a[12] + 15*a[1]^2*
             (12*a[6]^2*a[7] + a[9]^2 + 
             2*a[8]*a[10] + 2*a[7]*a[
             11] + 2*a[6]*a[12]) + 
            15*a[3]^2*((1 + 42*a[1]^2)*
             a[7]^2 + 2*((1 + 6*a[1] + 
             56*a[1]^3)*a[6]*a[8] + 
             a[1]*(1 + 143*a[1]^8)*
             a[13])) + 3*a[3]*
             (280*a[1]^4*a[8]^2 + 
             140*a[1]^3*a[7]*a[9] + 
             504*a[1]^5*a[7]*a[9] + 
             840*a[1]^6*a[6]*a[10] + 
             10*a[1]*(a[8]^2 + 2*a[7]*
             a[9] + 2*a[6]*a[10]) + 
             a[15] + 455*a[1]^12*a[15] + 
             10*a[1]^2*(6*a[6]*a[10] + 
             a[15])) + a[17] + 
            136*a[1]^15*a[17] + 
            10*a[1]^3*(21*a[6]^2*a[7] + 
             6*a[6]*a[12] + a[17])) + 
          2*a[3]*a[19] + 342*a[1]^17*
           a[3]*a[19] + 21*a[1]^20*
           a[21] + 2*a[1]*(180*a[3]^2*
             a[6]^2*a[7] + 105*a[3]^4*
             a[7]^2 + 60*a[3]^3*a[6]*
             a[10] + 3*a[3]*a[19] + 
            a[21])) - b[22]));
            
     a[23] = -((1/(a[1] + a[1]^23))*
       (20*a[2]*a[5]^4*a[6] + 
        30*a[1]*a[2]*a[5]^4*a[6] + 
        30*a[1]*a[5]^3*a[6]^2 + 
        60*a[1]^2*a[5]^3*a[6]^2 + 
        60*a[2]^3*a[5]*a[6]^3 + 
        60*a[1]*a[2]^2*a[6]^4 + 
        35*a[2]^4*a[5]^3*a[7] + 
        20*a[1]*a[5]^4*a[7] + 
        35*a[1]^3*a[5]^4*a[7] + 
        60*a[2]^3*a[5]^2*a[6]*a[7] + 
        420*a[1]*a[2]^3*a[5]^2*a[6]*
         a[7] + 30*a[2]^2*a[5]*a[6]^2*
         a[7] + 360*a[1]*a[2]^2*a[5]*
         a[6]^2*a[7] + 630*a[1]^2*a[2]^2*
         a[5]*a[6]^2*a[7] + 180*a[1]^2*
         a[2]*a[6]^3*a[7] + 140*a[1]^3*
         a[2]*a[6]^3*a[7] + 30*a[2]^2*
         a[5]^2*a[7]^2 + 630*a[1]^2*
         a[2]^2*a[5]^2*a[7]^2 + 
        42*a[2]^5*a[6]*a[7]^2 + 
        60*a[1]*a[2]*a[5]*a[6]*a[7]^2 + 
        180*a[1]^2*a[2]*a[5]*a[6]*
         a[7]^2 + 840*a[1]^3*a[2]*a[5]*
         a[6]*a[7]^2 + 60*a[1]^3*a[6]^2*
         a[7]^2 + 105*a[1]^4*a[6]^2*
         a[7]^2 + 105*a[1]*a[2]^4*
         a[7]^3 + 10*a[1]^2*a[5]*
         a[7]^3 + 105*a[1]^4*a[5]*
         a[7]^3 + 560*a[1]^2*a[2]^3*
         a[5]^3*a[8] + 56*a[2]^6*a[5]*
         a[6]*a[8] + 60*a[2]^2*a[5]^2*
         a[6]*a[8] + 180*a[1]*a[2]^2*
         a[5]^2*a[6]*a[8] + 1680*a[1]^3*
         a[2]^2*a[5]^2*a[6]*a[8] + 
        168*a[1]*a[2]^5*a[6]^2*a[8] + 
        60*a[1]*a[2]*a[5]*a[6]^2*a[8] + 
        360*a[1]^2*a[2]*a[5]*a[6]^2*
         a[8] + 840*a[1]^4*a[2]*a[5]*
         a[6]^2*a[8] + 60*a[1]^3*a[6]^3*
         a[8] + 56*a[1]^5*a[6]^3*a[8] + 
        42*a[2]^5*a[5]*a[7]*a[8] + 
        336*a[1]*a[2]^5*a[5]*a[7]*a[8] + 
        120*a[1]*a[2]*a[5]^2*a[7]*a[8] + 
        420*a[1]^3*a[2]*a[5]^2*a[7]*
         a[8] + 840*a[1]^4*a[2]*a[5]^2*
         a[7]*a[8] + 30*a[2]^4*a[6]*a[7]*
         a[8] + 210*a[1]*a[2]^4*a[6]*
         a[7]*a[8] + 840*a[1]^2*a[2]^4*
         a[6]*a[7]*a[8] + 60*a[1]^2*a[5]*
         a[6]*a[7]*a[8] + 120*a[1]^3*
         a[5]*a[6]*a[7]*a[8] + 
        210*a[1]^4*a[5]*a[6]*a[7]*a[8] + 
        336*a[1]^5*a[5]*a[6]*a[7]*a[8] + 
        420*a[1]^2*a[2]^3*a[7]^2*a[8] + 
        560*a[1]^3*a[2]^3*a[7]^2*a[8] + 
        840*a[1]^2*a[2]^4*a[5]*a[8]^2 + 
        30*a[1]^2*a[5]^2*a[8]^2 + 
        168*a[1]^5*a[5]^2*a[8]^2 + 
        60*a[1]*a[2]^3*a[6]*a[8]^2 + 
        1120*a[1]^3*a[2]^3*a[6]*a[8]^2 + 
        210*a[1]^3*a[2]^2*a[7]*a[8]^2 + 
        840*a[1]^4*a[2]^2*a[7]*a[8]^2 + 
        168*a[1]^5*a[2]*a[8]^3 + 
        2*a[4]^5*(3*a[3]*a[6] + 
          21*a[1]*a[2]*a[7] + 28*a[1]^3*
           a[8]) + 252*a[1]*a[2]^6*
         a[5]^2*a[9] + 30*a[2]^2*a[5]^3*
         a[9] + 1260*a[1]^4*a[2]^2*
         a[5]^3*a[9] + 1512*a[1]^2*
         a[2]^5*a[5]*a[6]*a[9] + 
        120*a[1]*a[2]*a[5]^2*a[6]*a[9] + 
        180*a[1]^2*a[2]*a[5]^2*a[6]*
         a[9] + 1512*a[1]^5*a[2]*a[5]^2*
         a[6]*a[9] + 30*a[2]^4*a[6]^2*
         a[9] + 1260*a[1]^3*a[2]^4*
         a[6]^2*a[9] + 30*a[1]^2*a[5]*
         a[6]^2*a[9] + 120*a[1]^3*a[5]*
         a[6]^2*a[9] + 252*a[1]^6*a[5]*
         a[6]^2*a[9] + 9*a[2]^8*a[7]*
         a[9] + 210*a[1]*a[2]^4*a[5]*
         a[7]*a[9] + 2520*a[1]^3*a[2]^4*
         a[5]*a[7]*a[9] + 60*a[1]^2*
         a[5]^2*a[7]*a[9] + 105*a[1]^4*
         a[5]^2*a[7]*a[9] + 252*a[1]^6*
         a[5]^2*a[7]*a[9] + 120*a[1]*
         a[2]^3*a[6]*a[7]*a[9] + 
        420*a[1]^2*a[2]^3*a[6]*a[7]*
         a[9] + 2520*a[1]^4*a[2]^3*a[6]*
         a[7]*a[9] + 420*a[1]^3*a[2]^2*
         a[7]^2*a[9] + 756*a[1]^5*a[2]^2*
         a[7]^2*a[9] + 8*a[2]^7*a[8]*
         a[9] + 72*a[1]*a[2]^7*a[8]*
         a[9] + 20*a[2]^3*a[5]*a[8]*
         a[9] + 1120*a[1]^3*a[2]^3*a[5]*
         a[8]*a[9] + 2520*a[1]^4*a[2]^3*
         a[5]*a[8]*a[9] + 180*a[1]^2*
         a[2]^2*a[6]*a[8]*a[9] + 
        840*a[1]^4*a[2]^2*a[6]*a[8]*
         a[9] + 1512*a[1]^5*a[2]^2*a[6]*
         a[8]*a[9] + 210*a[1]^4*a[2]*
         a[7]*a[8]*a[9] + 336*a[1]^5*
         a[2]*a[7]*a[8]*a[9] + 
        504*a[1]^6*a[2]*a[7]*a[8]*a[9] + 
        56*a[1]^6*a[8]^2*a[9] + 
        36*a[1]^7*a[8]^2*a[9] + 
        252*a[1]^2*a[2]^6*a[9]^2 + 
        30*a[1]*a[2]^2*a[5]*a[9]^2 + 
        1512*a[1]^5*a[2]^2*a[5]*a[9]^2 + 
        60*a[1]^3*a[2]*a[6]*a[9]^2 + 
        504*a[1]^6*a[2]*a[6]*a[9]^2 + 
        21*a[1]^5*a[7]*a[9]^2 + 
        72*a[1]^7*a[7]*a[9]^2 + 
        4*a[3]^7*(2*a[2]*a[8] + 
          9*a[1]^2*a[9]) + 10*a[2]^9*
         a[5]*a[10] + 2520*a[1]^3*a[2]^5*
         a[5]^2*a[10] + 60*a[1]*a[2]*
         a[5]^3*a[10] + 840*a[1]^6*a[2]*
         a[5]^3*a[10] + 90*a[1]*a[2]^8*
         a[6]*a[10] + 30*a[2]^4*a[5]*
         a[6]*a[10] + 6300*a[1]^4*a[2]^4*
         a[5]*a[6]*a[10] + 60*a[1]^2*
         a[5]^2*a[6]*a[10] + 
        60*a[1]^3*a[5]^2*a[6]*a[10] + 
        360*a[1]^7*a[5]^2*a[6]*a[10] + 
        120*a[1]*a[2]^3*a[6]^2*a[10] + 
        2520*a[1]^5*a[2]^3*a[6]^2*
         a[10] + 360*a[1]^2*a[2]^7*a[7]*
         a[10] + 20*a[2]^3*a[5]*a[7]*
         a[10] + 420*a[1]^2*a[2]^3*a[5]*
         a[7]*a[10] + 5040*a[1]^5*a[2]^3*
         a[5]*a[7]*a[10] + 180*a[1]^2*
         a[2]^2*a[6]*a[7]*a[10] + 
        420*a[1]^3*a[2]^2*a[6]*a[7]*
         a[10] + 2520*a[1]^6*a[2]^2*a[6]*
         a[7]*a[10] + 210*a[1]^4*a[2]*
         a[7]^2*a[10] + 360*a[1]^7*a[2]*
         a[7]^2*a[10] + 56*a[1]*a[2]^6*
         a[8]*a[10] + 840*a[1]^3*a[2]^6*
         a[8]*a[10] + 60*a[1]*a[2]^2*
         a[5]*a[8]*a[10] + 840*a[1]^4*
         a[2]^2*a[5]*a[8]*a[10] + 
        2520*a[1]^6*a[2]^2*a[5]*a[8]*
         a[10] + 120*a[1]^3*a[2]*a[6]*
         a[8]*a[10] + 336*a[1]^5*a[2]*
         a[6]*a[8]*a[10] + 720*a[1]^7*
         a[2]*a[6]*a[8]*a[10] + 
        42*a[1]^5*a[7]*a[8]*a[10] + 
        56*a[1]^6*a[7]*a[8]*a[10] + 
        90*a[1]^8*a[7]*a[8]*a[10] + 
        504*a[1]^3*a[2]^5*a[9]*a[10] + 
        1260*a[1]^4*a[2]^5*a[9]*a[10] + 
        60*a[1]^2*a[2]*a[5]*a[9]*a[10] + 
        504*a[1]^6*a[2]*a[5]*a[9]*
         a[10] + 720*a[1]^7*a[2]*a[5]*
         a[9]*a[10] + 30*a[1]^4*a[6]*
         a[9]*a[10] + 72*a[1]^7*a[6]*
         a[9]*a[10] + 90*a[1]^8*a[6]*
         a[9]*a[10] + 1260*a[1]^5*a[2]^4*
         a[10]^2 + 10*a[1]^3*a[5]*
         a[10]^2 + 90*a[1]^8*a[5]*
         a[10]^2 + 495*a[1]^2*a[2]^8*
         a[5]*a[11] + 6930*a[1]^5*a[2]^4*
         a[5]^2*a[11] + 30*a[1]^2*a[5]^3*
         a[11] + 165*a[1]^8*a[5]^3*
         a[11] + 1320*a[1]^3*a[2]^7*a[6]*
         a[11] + 20*a[2]^3*a[5]*a[6]*
         a[11] + 120*a[1]*a[2]^3*a[5]*
         a[6]*a[11] + 9240*a[1]^6*a[2]^3*
         a[5]*a[6]*a[11] + 180*a[1]^2*
         a[2]^2*a[6]^2*a[11] + 
        1980*a[1]^7*a[2]^2*a[6]^2*
         a[11] + 7*a[2]^6*a[7]*a[11] + 
        2310*a[1]^4*a[2]^6*a[7]*a[11] + 
        60*a[1]*a[2]^2*a[5]*a[7]*a[11] + 
        420*a[1]^3*a[2]^2*a[5]*a[7]*
         a[11] + 3960*a[1]^7*a[2]^2*a[5]*
         a[7]*a[11] + 120*a[1]^3*a[2]*
         a[6]*a[7]*a[11] + 210*a[1]^4*
         a[2]*a[6]*a[7]*a[11] + 
        990*a[1]^8*a[2]*a[6]*a[7]*
         a[11] + 42*a[1]^5*a[7]^2*
         a[11] + 55*a[1]^9*a[7]^2*
         a[11] + 168*a[1]^2*a[2]^5*a[8]*
         a[11] + 2772*a[1]^5*a[2]^5*a[8]*
         a[11] + 60*a[1]^2*a[2]*a[5]*
         a[8]*a[11] + 336*a[1]^5*a[2]*
         a[5]*a[8]*a[11] + 990*a[1]^8*
         a[2]*a[5]*a[8]*a[11] + 
        30*a[1]^4*a[6]*a[8]*a[11] + 
        56*a[1]^6*a[6]*a[8]*a[11] + 
        110*a[1]^9*a[6]*a[8]*a[11] + 
        630*a[1]^4*a[2]^4*a[9]*a[11] + 
        2310*a[1]^6*a[2]^4*a[9]*a[11] + 
        20*a[1]^3*a[5]*a[9]*a[11] + 
        72*a[1]^7*a[5]*a[9]*a[11] + 
        110*a[1]^9*a[5]*a[9]*a[11] + 
        840*a[1]^6*a[2]^3*a[10]*a[11] + 
        1320*a[1]^7*a[2]^3*a[10]*a[11] + 
        495*a[1]^8*a[2]^2*a[11]^2 + 
        7*a[3]^6*(a[5]*a[7] + 
          36*a[1]*a[2]^2*a[9] + 
          120*a[1]^3*a[2]*a[10] + 
          66*a[1]^5*a[11]) + 
        a[4]^4*(5*a[5]*a[7] + 105*a[1]^2*
           a[5]*a[7] + 15*a[1]*
           (2*a[6]^2 + 7*a[3]^2*a[7]) + 
          280*a[1]*a[2]^3*a[8] + 
          630*a[1]^4*a[3]*a[9] + 
          105*a[2]^2*(a[3]*a[7] + 
            12*a[1]^3*a[9]) + 
          30*a[2]*(a[5]*a[6] + 28*a[1]^2*
             a[3]*a[8] + 42*a[1]^5*
             a[10]) + 4*a[11] + 
          330*a[1]^7*a[11]) + 
        12*a[1]*a[2]^11*a[12] + 
        3960*a[1]^4*a[2]^7*a[5]*a[12] + 
        20*a[2]^3*a[5]^2*a[12] + 
        7920*a[1]^7*a[2]^3*a[5]^2*
         a[12] + 5544*a[1]^5*a[2]^6*a[6]*
         a[12] + 60*a[1]*a[2]^2*a[5]*
         a[6]*a[12] + 180*a[1]^2*a[2]^2*
         a[5]*a[6]*a[12] + 5940*a[1]^8*
         a[2]^2*a[5]*a[6]*a[12] + 
        120*a[1]^3*a[2]*a[6]^2*a[12] + 
        660*a[1]^9*a[2]*a[6]^2*a[12] + 
        42*a[1]*a[2]^5*a[7]*a[12] + 
        5544*a[1]^6*a[2]^5*a[7]*a[12] + 
        60*a[1]^2*a[2]*a[5]*a[7]*a[12] + 
        210*a[1]^4*a[2]*a[5]*a[7]*
         a[12] + 1320*a[1]^9*a[2]*a[5]*
         a[7]*a[12] + 30*a[1]^4*a[6]*
         a[7]*a[12] + 42*a[1]^5*a[6]*
         a[7]*a[12] + 132*a[1]^10*a[6]*
         a[7]*a[12] + 280*a[1]^3*a[2]^4*
         a[8]*a[12] + 3960*a[1]^7*a[2]^4*
         a[8]*a[12] + 20*a[1]^3*a[5]*
         a[8]*a[12] + 56*a[1]^6*a[5]*
         a[8]*a[12] + 132*a[1]^10*a[5]*
         a[8]*a[12] + 504*a[1]^5*a[2]^3*
         a[9]*a[12] + 1980*a[1]^8*a[2]^3*
         a[9]*a[12] + 360*a[1]^7*a[2]^2*
         a[10]*a[12] + 660*a[1]^9*a[2]^2*
         a[10]*a[12] + 2*a[2]*a[11]*
         a[12] + 110*a[1]^9*a[2]*a[11]*
         a[12] + 132*a[1]^10*a[2]*a[11]*
         a[12] + 12*a[1]^11*a[12]^2 + 
        286*a[1]^3*a[2]^10*a[13] + 
        12012*a[1]^6*a[2]^6*a[5]*a[13] + 
        60*a[1]*a[2]^2*a[5]^2*a[13] + 
        4290*a[1]^9*a[2]^2*a[5]^2*
         a[13] + 6*a[2]^5*a[6]*a[13] + 
        10296*a[1]^7*a[2]^5*a[6]*a[13] + 
        60*a[1]^2*a[2]*a[5]*a[6]*a[13] + 
        120*a[1]^3*a[2]*a[5]*a[6]*
         a[13] + 1716*a[1]^10*a[2]*a[5]*
         a[6]*a[13] + 30*a[1]^4*a[6]^2*
         a[13] + 78*a[1]^11*a[6]^2*
         a[13] + 105*a[1]^2*a[2]^4*a[7]*
         a[13] + 6435*a[1]^8*a[2]^4*a[7]*
         a[13] + 20*a[1]^3*a[5]*a[7]*
         a[13] + 42*a[1]^5*a[5]*a[7]*
         a[13] + 156*a[1]^11*a[5]*a[7]*
         a[13] + 280*a[1]^4*a[2]^3*a[8]*
         a[13] + 2860*a[1]^9*a[2]^3*a[8]*
         a[13] + 252*a[1]^6*a[2]^2*a[9]*
         a[13] + 858*a[1]^10*a[2]^2*a[9]*
         a[13] + 2*a[2]*a[10]*a[13] + 
        90*a[1]^8*a[2]*a[10]*a[13] + 
        156*a[1]^11*a[2]*a[10]*a[13] + 
        11*a[1]^10*a[11]*a[13] + 
        13*a[1]^12*a[11]*a[13] + 
        3*a[3]^5*(14*a[1]*a[7]^2 + 
          2*a[6]*a[8] + 56*a[1]^2*a[6]*
           a[8] + 42*a[2]^4*a[9] + 
          168*a[1]^3*a[5]*a[9] + 
          840*a[1]^2*a[2]^3*a[10] + 
          2310*a[1]^4*a[2]^2*a[11] + 
          14*a[2]*(a[6]*a[7] + 
            8*a[1]*a[5]*a[8] + 
            132*a[1]^6*a[12]) + 
          429*a[1]^8*a[13]) + 
        2002*a[1]^5*a[2]^9*a[14] + 
        18018*a[1]^8*a[2]^5*a[5]*a[14] + 
        60*a[1]^2*a[2]*a[5]^2*a[14] + 
        1092*a[1]^11*a[2]*a[5]^2*a[14] + 
        30*a[1]*a[2]^4*a[6]*a[14] + 
        10010*a[1]^9*a[2]^4*a[6]*a[14] + 
        20*a[1]^3*a[5]*a[6]*a[14] + 
        30*a[1]^4*a[5]*a[6]*a[14] + 
        182*a[1]^12*a[5]*a[6]*a[14] + 
        140*a[1]^3*a[2]^3*a[7]*a[14] + 
        4004*a[1]^10*a[2]^3*a[7]*a[14] + 
        168*a[1]^5*a[2]^2*a[8]*a[14] + 
        1092*a[1]^11*a[2]^2*a[8]*a[14] + 
        2*a[2]*a[9]*a[14] + 72*a[1]^7*
         a[2]*a[9]*a[14] + 182*a[1]^12*
         a[2]*a[9]*a[14] + 10*a[1]^9*
         a[10]*a[14] + 14*a[1]^13*a[10]*
         a[14] + 4*a[4]^3*
         (5*(1 + 3*a[1])*a[5]^2*a[6] + 
          15*a[2]^2*a[6]*a[7] + 
          105*a[1]*a[2]^2*a[6]*a[7] + 
          105*a[1]^2*a[2]*a[7]^2 + 
          30*a[1]*a[2]*a[6]*a[8] + 
          280*a[1]^3*a[2]*a[6]*a[8] + 
          3*a[7]*a[8] + 35*a[1]^3*a[7]*
           a[8] + 70*a[1]^4*a[7]*a[8] + 
          35*a[3]^3*(a[2]*a[7] + 
            4*a[1]^2*a[8]) + 126*a[1]*
           a[2]^5*a[9] + 3*a[6]*a[9] + 
          15*a[1]^2*a[6]*a[9] + 
          126*a[1]^5*a[6]*a[9] + 
          1050*a[1]^3*a[2]^4*a[10] + 
          15*a[3]^2*(a[5]*a[6] + 
            28*a[1]*a[2]^2*a[8] + 
            84*a[1]^3*a[2]*a[9] + 
            42*a[1]^5*a[10]) + 
          a[5]*(35*a[2]^3*a[7] + 
            420*a[1]^2*a[2]^2*a[8] + 
            5*(1 + 126*a[1]^4)*a[2]*
             a[9] + (3 + 5*a[1] + 
             210*a[1]^6)*a[10]) + 
          2310*a[1]^5*a[2]^3*a[11] + 
          1980*a[1]^7*a[2]^2*a[12] + 
          a[3]*(30*a[1]*a[6]*a[7] + 
            105*a[1]^2*a[6]*a[7] + 
            70*a[2]^4*a[8] + 5*a[5]*
             a[8] + 280*a[1]^3*a[5]*
             a[8] + 1260*a[1]^2*a[2]^3*
             a[9] + 3150*a[1]^4*a[2]^2*
             a[10] + 30*a[2]*(a[6]^2 + 
             7*a[1]*a[5]*a[7] + 77*a[1]^
             6*a[11]) + 3*a[12] + 
            495*a[1]^8*a[12]) + 
          3*a[2]*a[13] + 715*a[1]^9*a[2]*
           a[13] + 3*a[1]*a[14] + 
          91*a[1]^11*a[14]) + 
        6435*a[1]^7*a[2]^8*a[15] + 
        5*a[2]^4*a[5]*a[15] + 
        15015*a[1]^10*a[2]^4*a[5]*
         a[15] + 20*a[1]^3*a[5]^2*
         a[15] + 105*a[1]^13*a[5]^2*
         a[15] + 60*a[1]^2*a[2]^3*a[6]*
         a[15] + 5460*a[1]^11*a[2]^3*
         a[6]*a[15] + 105*a[1]^4*a[2]^2*
         a[7]*a[15] + 1365*a[1]^12*
         a[2]^2*a[7]*a[15] + 2*a[2]*a[8]*
         a[15] + 56*a[1]^6*a[2]*a[8]*
         a[15] + 210*a[1]^13*a[2]*a[8]*
         a[15] + 9*a[1]^8*a[9]*a[15] + 
        15*a[1]^14*a[9]*a[15] + 
        5*a[3]^4*(21*a[1]*a[5]^2*a[7] + 
          252*a[1]*a[2]^5*a[10] + 
          2310*a[1]^3*a[2]^4*a[11] + 
          a[5]*(6*a[6]^2 + 56*a[2]^3*
             a[8] + 756*a[1]^2*a[2]^2*
             a[9] + 1260*a[1]^4*a[2]*
             a[10] + a[11] + 462*a[1]^6*
             a[11]) + 5544*a[1]^5*a[2]^3*
           a[12] + 3*a[2]^2*(7*a[7]^2 + 
            56*a[1]*a[6]*a[8] + 
            1716*a[1]^7*a[13]) + 
          2*a[2]*(21*a[1]*a[7]*a[8] + 
            84*a[1]^2*a[7]*a[8] + 
            3*a[6]*a[9] + 252*a[1]^3*
             a[6]*a[9] + 1001*a[1]^9*
             a[14]) + a[1]*
           (56*a[1]^2*a[8]^2 + 
            21*a[1]*a[7]*a[9] + 
            126*a[1]^3*a[7]*a[9] + 
            6*a[6]*a[10] + 252*a[1]^4*
             a[6]*a[10] + 273*a[1]^10*
             a[15])) + 11440*a[1]^9*
         a[2]^7*a[16] + 20*a[1]*a[2]^3*
         a[5]*a[16] + 7280*a[1]^12*
         a[2]^3*a[5]*a[16] + 
        60*a[1]^3*a[2]^2*a[6]*a[16] + 
        1680*a[1]^13*a[2]^2*a[6]*a[16] + 
        2*a[2]*a[7]*a[16] + 42*a[1]^5*
         a[2]*a[7]*a[16] + 240*a[1]^14*
         a[2]*a[7]*a[16] + 8*a[1]^7*a[8]*
         a[16] + 16*a[1]^15*a[8]*a[16] + 
        12376*a[1]^11*a[2]^6*a[17] + 
        30*a[1]^2*a[2]^2*a[5]*a[17] + 
        2040*a[1]^14*a[2]^2*a[5]*a[17] + 
        2*a[2]*a[6]*a[17] + 30*a[1]^4*
         a[2]*a[6]*a[17] + 272*a[1]^15*
         a[2]*a[6]*a[17] + 7*a[1]^6*a[7]*
         a[17] + 17*a[1]^16*a[7]*a[17] + 
        a[3]^3*(10*a[5]*a[7]^2 + 
          20*a[5]*a[6]*a[8] + 20*a[5]^2*
           a[9] + 504*a[1]^5*a[9]^2 + 
          120*a[2]^7*a[10] + 840*a[1]^6*
           a[8]*a[10] + 140*a[1]^4*
           (9*a[5]^2*a[9] + 2*a[8]*
             a[10]) + 4620*a[1]^2*a[2]^6*
           a[11] + 1320*a[1]^7*a[7]*
           a[11] + 140*a[1]^3*
           (8*a[5]*a[6]*a[8] + 
            a[7]*a[11]) + 27720*a[1]^4*
           a[2]^5*a[12] + 1980*a[1]^8*
           a[6]*a[12] + 30*a[1]^2*
           (7*a[6]^2*a[7] + 14*a[5]*
             a[7]^2 + 2*a[6]*a[12]) + 
          2860*a[1]^9*a[5]*a[13] + 
          140*a[2]^4*(2*a[6]*a[8] + 
            18*a[1]*a[5]*a[9] + 
            429*a[1]^6*a[13]) + 
          20*a[1]*(6*a[6]^2*a[7] + 
            6*a[5]*a[6]*a[8] + 
            a[5]*a[13]) + 140*a[2]^3*
           ((1 + 8*a[1])*a[7]*a[8] + 
            3*a[1]^2*(12*a[6]*a[9] + 
             40*a[1]*a[5]*a[10] + 
             143*a[1]^6*a[14])) + 
          30*a[2]^2*(7*a[5]^2*a[7] + 
            56*a[1]^2*a[8]^2 + 
            14*a[1]*a[7]*a[9] + 
            168*a[1]^3*a[7]*a[9] + 
            2*a[6]*a[10] + 420*a[1]^4*
             a[6]*a[10] + 924*a[1]^5*
             a[5]*a[11] + 1001*a[1]^10*
             a[15]) + 20*a[2]*
           (3*a[6]^3 + 56*a[1]^3*a[8]*
             a[9] + 126*a[1]^4*a[8]*
             a[9] + 252*a[1]^5*a[7]*
             a[10] + 21*a[1]^2*
             (4*a[5]^2*a[8] + a[7]*a[
             10]) + 6*a[6]*((1 + 7*a[1])*
             a[5]*a[7] + a[1]*(1 + 
             77*a[1]^5)*a[11]) + 
            a[5]*a[12] + 792*a[1]^7*a[5]*
             a[12] + 364*a[1]^12*
             a[16]) + 3*a[17] + 
          680*a[1]^14*a[17]) + 
        a[4]^2*(10*a[5]^4 + 180*a[1]*
           a[2]*a[6]^3 + 21*a[3]^5*
           a[7] + 12*a[6]^2*a[7] + 
          180*a[1]^2*a[6]^2*a[7] + 
          210*a[1]^3*a[6]^2*a[7] + 
          105*a[2]^4*a[7]^2 + 
          840*a[1]*a[2]^4*a[6]*a[8] + 
          420*a[1]*a[2]^3*a[7]*a[8] + 
          1680*a[1]^2*a[2]^3*a[7]*a[8] + 
          1680*a[1]^3*a[2]^2*a[8]^2 + 
          60*a[2]^3*a[6]*a[9] + 
          5040*a[1]^3*a[2]^3*a[6]*a[9] + 
          630*a[1]^2*a[2]^2*a[7]*a[9] + 
          3780*a[1]^4*a[2]^2*a[7]*a[9] + 
          24*a[2]*a[8]*a[9] + 840*a[1]^4*
           a[2]*a[8]*a[9] + 1512*a[1]^5*
           a[2]*a[8]*a[9] + 12*a[1]*
           a[9]^2 + 252*a[1]^6*a[9]^2 + 
          420*a[3]^4*(2*a[1]*a[2]*a[8] + 
            3*a[1]^3*a[9]) + 6*a[5]^2*
           (105*a[1]*a[2]^2*a[7] + 
            5*(2 + 21*a[1]^2)*a[3]*
             a[7] + 10*a[2]*
             (3*a[3]*a[6] + a[8] + 
             28*a[1]^3*a[8]) + 
            2*(1 + 5*a[1] + 63*a[1]^5)*
             a[9]) + 360*a[1]*a[2]^7*
           a[10] + 180*a[1]*a[2]^2*a[6]*
           a[10] + 7560*a[1]^5*a[2]^2*
           a[6]*a[10] + 24*a[2]*a[7]*
           a[10] + 420*a[1]^3*a[2]*a[7]*
           a[10] + 2520*a[1]^6*a[2]*a[7]*
           a[10] + 24*a[1]*a[8]*a[10] + 
          168*a[1]^5*a[8]*a[10] + 
          360*a[1]^7*a[8]*a[10] + 
          4620*a[1]^3*a[2]^6*a[11] + 
          24*a[2]*a[6]*a[11] + 
          180*a[1]^2*a[2]*a[6]*a[11] + 
          3960*a[1]^7*a[2]*a[6]*a[11] + 
          24*a[1]*a[7]*a[11] + 
          105*a[1]^4*a[7]*a[11] + 
          495*a[1]^8*a[7]*a[11] + 
          20*a[3]^3*(3*a[6]^2 + 
            7*(4*a[2]^3*a[8] + 54*a[1]^
             2*a[2]^2*a[9] + 90*a[1]^4*a[
             2]*a[10] + 33*a[1]^6*a[
             11])) + 16632*a[1]^5*a[2]^5*
           a[12] + 24*a[1]*a[6]*a[12] + 
          60*a[1]^3*a[6]*a[12] + 
          660*a[1]^9*a[6]*a[12] + 
          25740*a[1]^7*a[2]^4*a[13] + 
          6*a[3]^2*(105*a[1]^2*a[7]^2 + 
            30*a[1]*a[6]*a[8] + 
            280*a[1]^3*a[6]*a[8] + 
            630*a[1]*a[2]^4*a[9] + 
            4200*a[1]^3*a[2]^3*a[10] + 
            6930*a[1]^5*a[2]^2*a[11] + 
            30*a[2]*((1 + 7*a[1])*a[6]*a[
             7] + 132*a[1]^7*a[12]) + 
            2*a[13] + 715*a[1]^9*
             a[13]) + 6*a[5]*
           (70*a[1]*a[3]^3*a[7] + 
            2*a[7]^2 + 5*a[1]*a[7]^2 + 
            70*a[1]^3*a[7]^2 + 28*a[2]^5*
             a[8] + 4*a[6]*a[8] + 
            10*a[1]*a[6]*a[8] + 
            30*a[1]^2*a[6]*a[8] + 
            140*a[1]^4*a[6]*a[8] + 
            630*a[1]^2*a[2]^4*a[9] + 
            5*(1 + 126*a[1]^4)*a[3]^2*
             a[9] + 140*a[2]^3*
             (4*a[1]*a[3]*a[8] + 
             15*a[1]^4*a[10]) + 
            5*a[2]^2*(6*a[6]^2 + 
             21*a[3]^2*a[7] + 504*a[1]^
             3*a[3]*a[9] + a[11] + 
             462*a[1]^6*a[11]) + 
            a[3]*((5 + 60*a[1])*a[6]^2 + 
             2*(2 + 5*a[1] + 330*a[1]^7)*
             a[11]) + 2*a[2]*
             (5*(1 + 6*a[1] + 21*a[1]^2)*
             a[6]*a[7] + 420*a[1]^2*a[3]^
             2*a[8] + 5*a[3]*a[10] + 
             1260*a[1]^5*a[3]*a[10] + 
             2*a[12] + 5*a[1]*a[12] + 
             495*a[1]^8*a[12]) + 
            4*a[1]*a[13] + 5*a[1]^2*
             a[13] + 143*a[1]^10*
             a[13]) + 20020*a[1]^9*
           a[2]^3*a[14] + 12*a[2]^2*
           a[15] + 8190*a[1]^11*a[2]^2*
           a[15] + 3*a[3]*
           (4*(1 + 70*a[1]^4)*a[8]^2 + 
            84*a[2]^6*a[9] + 8*a[7]*
             a[9] + 140*a[1]^3*a[7]*
             a[9] + 504*a[1]^5*a[7]*
             a[9] + 2520*a[1]^2*a[2]^5*
             a[10] + 8*a[6]*a[10] + 
            60*a[1]^2*a[6]*a[10] + 
            840*a[1]^6*a[6]*a[10] + 
            11550*a[1]^4*a[2]^4*a[11] + 
            140*a[2]^3*(a[6]*a[7] + 
             132*a[1]^6*a[12]) + 
            30*a[2]^2*(14*a[1]*a[7]^2 + 
             2*a[6]*a[8] + 56*a[1]^2*a[
             6]*a[8] + 429*a[1]^8*a[
             13]) + 4*a[2]*(105*a[1]^2*a[
             7]*a[8] + 280*a[1]^3*a[7]*a[
             8] + 30*a[1]*a[6]*a[9] + 
             630*a[1]^4*a[6]*a[9] + 
             2*a[14] + 1001*a[1]^10*a[
             14]) + a[15] + 8*a[1]*
             a[15] + 455*a[1]^12*
             a[15]) + 24*a[1]*a[2]*
           a[16] + 1680*a[1]^13*a[2]*
           a[16] + 12*a[1]^2*a[17] + 
          136*a[1]^15*a[17]) + 
        8568*a[1]^13*a[2]^5*a[18] + 
        2*a[2]*a[5]*a[18] + 20*a[1]^3*
         a[2]*a[5]*a[18] + 306*a[1]^16*
         a[2]*a[5]*a[18] + 6*a[1]^5*a[6]*
         a[18] + 18*a[1]^17*a[6]*a[18] + 
        3876*a[1]^15*a[2]^4*a[19] + 
        5*a[1]^4*a[5]*a[19] + 
        19*a[1]^18*a[5]*a[19] + 
        3*a[3]^2*(10*(1 + 7*a[1]^2)*
           a[5]^3*a[7] + 70*a[1]^3*
           a[7]^3 + 60*a[1]^2*a[6]*a[7]*
           a[8] + 140*a[1]^3*a[6]*a[7]*
           a[8] + 280*a[1]^4*a[6]*a[7]*
           a[8] + 60*a[1]^2*a[6]^2*
           a[9] + 252*a[1]^5*a[6]^2*
           a[9] + a[10]^2 + 120*a[1]^7*
           a[10]^2 + 165*a[1]*a[2]^8*
           a[11] + 2*a[9]*a[11] + 
          84*a[1]^6*a[9]*a[11] + 
          165*a[1]^8*a[9]*a[11] + 
          10*a[5]^2*((1 + 6*a[1])*
             a[6]^2 + 2*a[1]*(1 + 
             33*a[1]^6)*a[11]) + 
          2640*a[1]^3*a[2]^7*a[12] + 
          2*a[8]*a[12] + 56*a[1]^5*a[8]*
           a[12] + 220*a[1]^9*a[8]*
           a[12] + 2*a[7]*a[13] + 
          35*a[1]^4*a[7]*a[13] + 
          286*a[1]^10*a[7]*a[13] + 
          84*a[2]^6*(a[5]*a[9] + 
            143*a[1]^5*a[13]) + 
          2*a[6]*a[14] + 20*a[1]^3*a[6]*
           a[14] + 364*a[1]^11*a[6]*
           a[14] + 56*a[2]^5*
           (a[7]*a[8] + 9*a[1]*a[6]*
             a[9] + 45*a[1]^2*a[5]*
             a[10] + 429*a[1]^7*a[14]) + 
          35*a[2]^4*(8*a[1]*a[8]^2 + 
            a[7]*a[9] + 36*a[1]^2*a[7]*
             a[9] + 120*a[1]^3*a[6]*
             a[10] + 330*a[1]^4*a[5]*
             a[11] + 715*a[1]^9*a[15]) + 
          a[5]*(280*a[1]^4*a[8]^2 + 
            140*a[1]^3*a[7]*a[9] + 
            504*a[1]^5*a[7]*a[9] + 
            840*a[1]^6*a[6]*a[10] + 
            10*a[1]*(a[8]^2 + 2*a[7]*a[
             9] + 2*a[6]*a[10]) + 
            2*a[15] + 455*a[1]^12*
             a[15] + 10*a[1]^2*
             (6*a[6]*a[10] + a[15])) + 
          20*a[2]^3*(28*a[1]*a[5]^2*
             a[8] + 28*a[1]^2*a[8]*
             a[9] + 84*a[1]^3*a[8]*
             a[9] + 7*a[1]*a[7]*a[10] + 
            210*a[1]^4*a[7]*a[10] + 
            a[6]*a[11] + 462*a[1]^5*a[6]*
             a[11] + 7*a[5]*(a[6]*a[7] + 
             132*a[1]^6*a[12]) + 
            728*a[1]^11*a[16]) + 
          10*a[2]^2*(3*(2 + 7*a[1])*
             a[6]^2*a[7] + 42*a[1]*a[5]*
             a[7]^2 + 126*a[1]^4*
             a[9]^2 + 252*a[1]^5*a[8]*
             a[10] + 28*a[1]^3*
             (9*a[5]^2*a[9] + 2*a[8]*a[
             10]) + 21*a[1]^2*a[7]*
             a[11] + 462*a[1]^6*a[7]*
             a[11] + 6*a[6]*
             ((1 + 28*a[1]^2)*a[5]*a[
             8] + a[1]*(1 + 132*a[1]^6)*
             a[12]) + a[5]*a[13] + 
            1287*a[1]^8*a[5]*a[13] + 
            476*a[1]^13*a[17]) + 
          2*a[2]*(10*a[5]^3*a[6] + 
            30*a[1]*a[6]*(a[7]^2 + 
             2*a[6]*a[8]) + 
            10*(1 + 126*a[1]^5)*a[5]^2*
             a[10] + 252*a[1]^5*a[9]*
             a[10] + 420*a[1]^6*a[9]*
             a[10] + 140*a[1]^4*a[8]*
             a[11] + 660*a[1]^7*a[8]*
             a[11] + 990*a[1]^8*a[7]*
             a[12] + 70*a[1]^3*
             (4*a[6]^2*a[8] + a[7]*a[
             12]) + 1430*a[1]^9*a[6]*
             a[13] + 30*a[1]^2*a[6]*
             (7*a[7]^2 + a[13]) + 
            2*a[5]*(5*(1 + 21*a[1]^2 + 
             56*a[1]^3)*a[7]*a[8] + 
             5*(1 + 6*a[1] + 126*a[1]^4)*
             a[6]*a[9] + a[1]*(5 + 
             1001*a[1]^9)*a[14]) + 
            a[18] + 408*a[1]^15*a[18]) + 
          2*a[1]*a[19] + 57*a[1]^17*
           a[19]) + 1140*a[1]^17*a[2]^3*
         a[20] + 2*a[4]*(2*a[5]*a[6]^3 + 
          10*a[1]*a[5]*a[6]^3 + 
          90*a[1]^2*a[5]*a[6]^3 + 
          6*a[5]^2*a[6]*a[7] + 
          60*a[1]*a[5]^2*a[6]*a[7] + 
          90*a[1]^2*a[5]^2*a[6]*a[7] + 
          210*a[1]^3*a[5]^2*a[6]*a[7] + 
          28*a[1]*a[3]^6*a[8] + 
          2*a[5]^3*a[8] + 30*a[1]*a[5]^3*
           a[8] + 140*a[1]^4*a[5]^3*
           a[8] + 6*a[1]*a[7]^2*a[8] + 
          105*a[1]^4*a[7]^2*a[8] + 
          84*a[1]^5*a[7]^2*a[8] + 
          6*a[1]*a[6]*a[8]^2 + 
          30*a[1]^3*a[6]*a[8]^2 + 
          168*a[1]^5*a[6]*a[8]^2 + 
          12*a[1]*a[6]*a[7]*a[9] + 
          60*a[1]^3*a[6]*a[7]*a[9] + 
          105*a[1]^4*a[6]*a[7]*a[9] + 
          252*a[1]^6*a[6]*a[7]*a[9] + 
          12*a[1]*a[5]*a[8]*a[9] + 
          30*a[1]^2*a[5]*a[8]*a[9] + 
          168*a[1]^5*a[5]*a[8]*a[9] + 
          252*a[1]^6*a[5]*a[8]*a[9] + 
          6*a[1]*a[6]^2*a[10] + 
          60*a[1]^3*a[6]^2*a[10] + 
          180*a[1]^7*a[6]^2*a[10] + 
          12*a[1]*a[5]*a[7]*a[10] + 
          30*a[1]^2*a[5]*a[7]*a[10] + 
          105*a[1]^4*a[5]*a[7]*a[10] + 
          360*a[1]^7*a[5]*a[7]*a[10] + 
          42*a[3]^5*(2*a[2]^2*a[8] + 
            18*a[1]^2*a[2]*a[9] + 
            15*a[1]^4*a[10]) + 
          55*a[1]*a[2]^9*a[11] + 
          12*a[1]*a[5]*a[6]*a[11] + 
          30*a[1]^2*a[5]*a[6]*a[11] + 
          60*a[1]^3*a[5]*a[6]*a[11] + 
          495*a[1]^8*a[5]*a[6]*a[11] + 
          6*a[1]^2*a[10]*a[11] + 
          45*a[1]^8*a[10]*a[11] + 
          55*a[1]^9*a[10]*a[11] + 
          990*a[1]^3*a[2]^8*a[12] + 
          6*a[1]*a[5]^2*a[12] + 
          30*a[1]^2*a[5]^2*a[12] + 
          330*a[1]^9*a[5]^2*a[12] + 
          6*a[1]^2*a[9]*a[12] + 
          36*a[1]^7*a[9]*a[12] + 
          66*a[1]^10*a[9]*a[12] + 
          15*a[3]^4*((1 + 7*a[1])*a[6]*
             a[7] + 84*a[1]*a[2]^3*
             a[9] + 420*a[1]^3*a[2]^2*
             a[10] + 7*a[2]*(a[5]*a[7] + 
             66*a[1]^5*a[11]) + 
            4*a[1]^2*(7*a[5]*a[8] + 
             33*a[1]^5*a[12])) + 
          6*a[1]^2*a[8]*a[13] + 
          28*a[1]^6*a[8]*a[13] + 
          78*a[1]^11*a[8]*a[13] + 
          36*a[2]^7*(a[5]*a[9] + 
            143*a[1]^5*a[13]) + 
          6*a[1]^2*a[7]*a[14] + 
          21*a[1]^5*a[7]*a[14] + 
          91*a[1]^12*a[7]*a[14] + 
          28*a[2]^6*(a[7]*a[8] + 
            9*a[1]*a[6]*a[9] + 45*a[1]^2*
             a[5]*a[10] + 429*a[1]^7*
             a[14]) + 2*a[3]^3*
           (15*a[5]^2*a[6] + 105*a[1]^2*
             a[7]*a[8] + 280*a[1]^3*a[7]*
             a[8] + 126*a[2]^5*a[9] + 
            30*a[1]*a[6]*a[9] + 
            630*a[1]^4*a[6]*a[9] + 
            3150*a[1]^2*a[2]^4*a[10] + 
            5*a[5]*(168*a[1]*a[2]^2*a[
             8] + 504*a[1]^3*a[2]*a[9] + 
             a[10] + 252*a[1]^5*a[10]) + 
            11550*a[1]^4*a[2]^3*a[11] + 
            105*a[2]^2*(a[6]*a[7] + 
             132*a[1]^6*a[12]) + 
            15*a[2]*(14*a[1]*a[7]^2 + 
             2*a[6]*a[8] + 56*a[1]^2*a[
             6]*a[8] + 429*a[1]^8*a[
             13]) + a[14] + 1001*a[1]^10*
             a[14]) + 6*a[1]^2*a[6]*
           a[15] + 15*a[1]^4*a[6]*
           a[15] + 105*a[1]^13*a[6]*
           a[15] + 21*a[2]^5*
           (8*a[1]*a[8]^2 + a[7]*a[9] + 
            36*a[1]^2*a[7]*a[9] + 
            120*a[1]^3*a[6]*a[10] + 
            330*a[1]^4*a[5]*a[11] + 
            715*a[1]^9*a[15]) + 
          6*a[1]^2*a[5]*a[16] + 
          10*a[1]^3*a[5]*a[16] + 
          120*a[1]^14*a[5]*a[16] + 
          15*a[2]^4*(28*a[1]*a[5]^2*
             a[8] + 28*a[1]^2*a[8]*
             a[9] + 84*a[1]^3*a[8]*
             a[9] + 7*a[1]*a[7]*a[10] + 
            210*a[1]^4*a[7]*a[10] + 
            a[6]*a[11] + 462*a[1]^5*a[6]*
             a[11] + 7*a[5]*(a[6]*a[7] + 
             132*a[1]^6*a[12]) + 
            728*a[1]^11*a[16]) + 
          3*a[3]^2*(10*a[5]*a[6]*a[7] + 
            10*a[5]^2*a[8] + 2*a[8]*
             a[9] + 140*a[1]^4*a[8]*
             a[9] + 252*a[1]^5*a[8]*
             a[9] + 420*a[1]*a[2]^6*
             a[10] + 2*a[7]*a[10] + 
            420*a[1]^6*a[7]*a[10] + 
            70*a[1]^3*(4*a[5]^2*a[8] + 
             a[7]*a[10]) + 4620*a[1]^3*
             a[2]^5*a[11] + 2*a[6]*
             a[11] + 660*a[1]^7*a[6]*
             a[11] + 30*a[1]^2*a[6]*
             (7*a[5]*a[7] + a[11]) + 
            2*a[5]*a[12] + 990*a[1]^8*
             a[5]*a[12] + 140*a[2]^4*
             (a[5]*a[8] + 99*a[1]^5*a[
             12]) + 10*a[2]^3*
             (7*a[7]^2 + 4*a[1]*(14*a[6]*
             a[8] + 63*a[1]*a[5]*a[9] + 
             429*a[1]^6*a[13])) + 
            10*a[2]^2*(21*a[1]*a[7]*a[
             8] + 84*a[1]^2*a[7]*a[8] + 
             3*a[6]*a[9] + 252*a[1]^3*a[
             6]*a[9] + 630*a[1]^4*a[5]*a[
             10] + 1001*a[1]^9*a[14]) + 
            2*a[2]*(105*a[1]*a[5]^2*a[
             7] + 280*a[1]^3*a[8]^2 + 
             105*a[1]^2*a[7]*a[9] + 
             630*a[1]^4*a[7]*a[9] + 
             30*a[1]*a[6]*a[10] + 
             1260*a[1]^5*a[6]*a[10] + 
             5*a[5]*(6*a[6]^2 + a[11] + 
             462*a[1]^6*a[11]) + a[15] + 
             1365*a[1]^11*a[15]) + 
            a[16] + 280*a[1]^13*a[16] + 
            2*a[1]*(15*a[6]^3 + 
             30*a[5]*a[6]*a[7] + 
             5*a[5]*a[12] + a[16])) + 
          2*a[2]^3*(15*(2 + 7*a[1])*
             a[6]^2*a[7] + 210*a[1]*a[5]*
             a[7]^2 + 630*a[1]^4*
             a[9]^2 + 1260*a[1]^5*a[8]*
             a[10] + 140*a[1]^3*
             (9*a[5]^2*a[9] + 2*a[8]*a[
             10]) + 105*a[1]^2*a[7]*
             a[11] + 2310*a[1]^6*a[7]*
             a[11] + 30*a[6]*
             ((1 + 28*a[1]^2)*a[5]*a[
             8] + a[1]*(1 + 132*a[1]^6)*
             a[12]) + 5*a[5]*a[13] + 
            6435*a[1]^8*a[5]*a[13] + 
            a[17] + 2380*a[1]^13*
             a[17]) + 3*a[3]*
           (10*(1 + 2*a[1])*a[5]^3*
             a[6] + 2*a[6]*a[7]^2 + 
            30*a[1]^2*a[6]*a[7]^2 + 
            140*a[1]^3*a[6]*a[7]^2 + 
            2*a[6]^2*a[8] + 60*a[1]^2*
             a[6]^2*a[8] + 140*a[1]^4*
             a[6]^2*a[8] + 15*a[2]^8*
             a[10] + a[9]*a[10] + 
            4*a[1]*a[9]*a[10] + 
            84*a[1]^6*a[9]*a[10] + 
            120*a[1]^7*a[9]*a[10] + 
            2*a[5]^2*(35*a[2]^3*a[7] + 
             420*a[1]^2*a[2]^2*a[8] + 
             10*(1 + 63*a[1]^4)*a[2]*a[
             9] + (1 + 10*a[1] + 210*
             a[1]^6)*a[10]) + 660*a[1]^2*
             a[2]^7*a[11] + a[8]*a[11] + 
            4*a[1]*a[8]*a[11] + 
            56*a[1]^5*a[8]*a[11] + 
            165*a[1]^8*a[8]*a[11] + 
            4620*a[1]^4*a[2]^6*a[12] + 
            a[7]*a[12] + 4*a[1]*a[7]*
             a[12] + 35*a[1]^4*a[7]*
             a[12] + 220*a[1]^9*a[7]*
             a[12] + a[6]*a[13] + 
            4*a[1]*a[6]*a[13] + 
            20*a[1]^3*a[6]*a[13] + 
            286*a[1]^10*a[6]*a[13] + 
            28*a[2]^5*(2*a[6]*a[8] + 
             429*a[1]^6*a[13]) + 
            35*a[2]^4*((1 + 8*a[1])*a[7]*
             a[8] + 36*a[1]^2*a[6]*a[
             9] + 429*a[1]^8*a[14]) + 
            a[5]*(4*(1 + 5*a[1] + 
             35*a[1]^3 + 70*a[1]^4)*a[7]*
             a[8] + 504*a[1]*a[2]^5*a[
             9] + 4*a[6]*a[9] + 
             20*a[1]*a[6]*a[9] + 
             60*a[1]^2*a[6]*a[9] + 
             504*a[1]^5*a[6]*a[9] + 
             4200*a[1]^3*a[2]^4*a[10] + 
             9240*a[1]^5*a[2]^3*a[11] + 
             10*a[2]^2*(6*(1 + 7*a[1])*
             a[6]*a[7] + (1 + 792*a[1]^
             7)*a[12]) + 2*a[2]*(
             5*(1 + 42*a[1]^2)*a[7]^2 + 
             2*(5*(1 + 6*a[1] + 56*a[1]^
             3)*a[6]*a[8] + (1 + 
             5*a[1] + 715*a[1]^9)*
             a[13])) + a[14] + 4*a[1]*a[
             14] + 10*a[1]^2*a[14] + 
             364*a[1]^11*a[14]) + 
            10*a[2]^3*(56*a[1]^2*a[8]^
             2 + 14*a[1]*a[7]*a[9] + 
             168*a[1]^3*a[7]*a[9] + 
             2*a[6]*a[10] + 420*a[1]^4*a[
             6]*a[10] + 1001*a[1]^10*a[
             15]) + 2*a[2]^2*
             (15*a[6]^3 + 280*a[1]^3*a[
             8]*a[9] + 630*a[1]^4*a[8]*a[
             9] + 105*a[1]^2*a[7]*a[
             10] + 1260*a[1]^5*a[7]*a[
             10] + 30*a[1]*(1 + 
             77*a[1]^5)*a[6]*a[11] + 
             a[16] + 1820*a[1]^12*a[
             16]) + a[2]*(2*a[9]^2 + 
             504*a[1]^5*a[9]^2 + 
             4*a[8]*a[10] + 280*a[1]^4*a[
             8]*a[10] + 840*a[1]^6*a[8]*
             a[10] + 4*a[7]*a[11] + 
             140*a[1]^3*a[7]*a[11] + 
             1320*a[1]^7*a[7]*a[11] + 
             4*a[6]*a[12] + 1980*a[1]^8*
             a[6]*a[12] + 30*a[1]^2*a[6]*
             (7*a[6]*a[7] + 2*a[12]) + 
             a[17] + 680*a[1]^14*a[17] + 
             4*a[1]*(30*a[6]^2*a[7] + 
             a[17])) + a[1]*a[18] + 
            2*a[1]^2*a[18] + 51*a[1]^16*
             a[18]) + 6*a[2]^2*
           (5*a[5]^3*a[6] + 
            5*(1 + 126*a[1]^5)*a[5]^2*
             a[10] + a[9]*a[10] + 
            126*a[1]^5*a[9]*a[10] + 
            210*a[1]^6*a[9]*a[10] + 
            a[8]*a[11] + 70*a[1]^4*a[8]*
             a[11] + 330*a[1]^7*a[8]*
             a[11] + a[7]*a[12] + 
            495*a[1]^8*a[7]*a[12] + 
            35*a[1]^3*(4*a[6]^2*a[8] + 
             a[7]*a[12]) + a[6]*a[13] + 
            715*a[1]^9*a[6]*a[13] + 
            15*a[1]^2*a[6]*(7*a[7]^2 + 
             a[13]) + a[5]*
             (5*(1 + 21*a[1]^2 + 
             56*a[1]^3)*a[7]*a[8] + 
             5*(1 + 6*a[1] + 126*a[1]^4)*
             a[6]*a[9] + (1 + 5*a[1] + 
             1001*a[1]^10)*a[14]) + 
            204*a[1]^15*a[18] + 
            a[1]*(15*a[6]*a[7]^2 + 
             30*a[6]^2*a[8] + a[18])) + 
          a[2]*(30*(1 + 7*a[1]^2)*a[5]^3*
             a[7] + (2 + 210*a[1]^3)*
             a[7]^3 + 6*a[6]^2*a[9] + 
            180*a[1]^2*a[6]^2*a[9] + 
            756*a[1]^5*a[6]^2*a[9] + 
            6*a[1]*a[10]^2 + 360*a[1]^7*
             a[10]^2 + 12*a[1]*a[9]*
             a[11] + 252*a[1]^6*a[9]*
             a[11] + 495*a[1]^8*a[9]*
             a[11] + 6*a[5]^2*
             (5*(1 + 6*a[1])*a[6]^2 + 
             (1 + 10*a[1] + 330*a[1]^7)*
             a[11]) + 12*a[1]*a[8]*
             a[12] + 168*a[1]^5*a[8]*
             a[12] + 660*a[1]^9*a[8]*
             a[12] + 3*a[7]*
             (4*(1 + 15*a[1]^2 + 
             35*a[1]^3 + 70*a[1]^4)*a[6]*
             a[8] + a[1]*(4 + 35*a[1]^
             3 + 286*a[1]^9)*a[13]) + 
            12*a[1]*a[6]*a[14] + 
            60*a[1]^3*a[6]*a[14] + 
            1092*a[1]^11*a[6]*a[14] + 
            3*a[5]*(2*(1 + 5*a[1] + 
             140*a[1]^4)*a[8]^2 + 
             4*(1 + 5*a[1] + 35*a[1]^3 + 
             126*a[1]^5)*a[7]*a[9] + 
             4*a[6]*a[10] + 20*a[1]*a[6]*
             a[10] + 60*a[1]^2*a[6]*a[
             10] + 840*a[1]^6*a[6]*a[
             10] + 4*a[1]*a[15] + 
             10*a[1]^2*a[15] + 455*a[1]^
             12*a[15]) + a[19] + 
            6*a[1]^2*a[19] + 171*a[1]^17*
             a[19]) + 2*a[1]^3*a[20] + 
          10*a[1]^19*a[20]) + 
        2*a[2]^2*a[21] + 210*a[1]^19*
         a[2]^2*a[21] + a[3]*(5*a[5]^5 + 
          105*a[2]^4*a[6]^2*a[7] + 
          60*a[2]^3*a[6]*a[7]^2 + 
          120*a[2]^3*a[6]^2*a[8] + 
          56*a[2]^6*a[8]^2 + 3*a[7]*
           a[8]^2 + 72*a[2]^7*a[6]*
           a[9] + 3*a[7]^2*a[9] + 
          6*a[6]*a[8]*a[9] + 4*a[5]^3*
           (15*a[2]*a[8] + 280*a[1]^3*
             a[2]*a[8] + 126*a[1]^5*
             a[9] + 15*a[1]*(7*a[2]^2*a[
             7] + a[9])) + 42*a[2]^5*
           a[7]*a[10] + 6*a[6]*a[7]*
           a[10] + 11*a[2]^10*a[11] + 
          3*a[6]^2*a[11] + 6*a[2]*a[10]*
           a[11] + 30*a[2]^4*a[6]*
           a[12] + 6*a[2]*a[9]*a[12] + 
          6*a[2]*a[8]*a[13] + 72*a[1]^7*
           (10*a[6]*a[7]*a[10] + 
            55*a[2]^2*a[9]*a[11] + 
            10*a[2]*a[10]*a[11] + 
            220*a[2]^3*a[7]*a[12] + 
            a[9]*a[13]) + 3*a[5]^2*
           (140*a[1]^3*a[7]^2 + 
            56*a[2]^5*a[8] + 280*a[1]^4*
             a[6]*a[8] + 20*a[1]*
             (a[7]^2 + 2*a[6]*a[8]) + 
            1260*a[1]^2*a[2]^4*a[9] + 
            4200*a[1]^4*a[2]^3*a[10] + 
            20*a[2]^2*(3*a[6]^2 + 
             (1 + 231*a[1]^6)*a[11]) + 
            20*a[2]*((2 + 6*a[1] + 
             21*a[1]^2)*a[6]*a[7] + 
             a[1]*(2 + 99*a[1]^7)*a[
             12]) + a[13] + 286*a[1]^10*
             a[13] + 20*a[1]^2*
             (3*a[6]*a[8] + a[13])) + 
          110*a[1]^9*(a[11]^2 + 
            6*a[2]*(2*a[9]*a[12] + 
             13*a[2]*a[7]*a[13])) + 
          6*a[2]*a[7]*a[14] + 
          156*a[1]^11*(a[9]*a[13] + 
            14*a[2]*a[7]*a[14]) + 
          28*a[1]^6*(9*a[7]^2*a[9] + 
            2*(45*a[2]*a[6]^2*a[10] + 
             45*a[2]^2*a[10]^2 + 
             165*a[2]^3*a[8]*a[11] + 
             9*a[2]*a[9]*a[12] + 
             9*a[6]*(a[8]*a[9] + 
             55*a[2]^4*a[12]) + 429*a[2]^
             7*a[14] + a[8]*a[14])) + 
          6*a[2]*a[6]*a[15] + 
          210*a[1]^13*a[7]*a[15] + 
          45*a[1]^8*(11*a[6]^2*a[11] + 
            22*a[2]*a[10]*a[11] + 
            132*a[2]^2*a[8]*a[12] + 
            2*a[10]*a[12] + 572*a[2]^3*
             a[6]*a[13] + 1001*a[2]^6*
             a[15]) + 42*a[1]^5*
           (4*(2*a[6]*a[8]*a[9] + 
             a[2]*(30*a[2]^2*a[9]*
             a[10] + 9*a[2]*a[9]*a[11] + 
             2*a[8]*a[13])) + 
            a[7]*(8*a[8]^2 + 72*a[2]*a[
             6]*a[9] + 330*a[2]^4*a[
             11] + a[15])) + 20*a[1]^3*
           (126*a[2]^4*a[9]^2 + 
            252*a[2]^5*a[7]*a[10] + 
            56*a[2]^3*a[8]*a[11] + 
            6*a[6]*(a[8]*a[9] + a[7]*a[
             10] + a[6]*a[11]) + 
            21*a[2]^2*a[7]*(8*a[6]*a[
             8] + a[13]) + 6*a[2]*
             (7*a[7]^2*a[8] + 7*a[6]*a[
             7]*a[9] + a[6]*a[15])) + 
          15*a[1]^4*(14*a[7]^2*a[9] + 
            420*a[2]^4*a[8]*a[10] + 
            168*a[2]^3*a[9]*a[10] + 
            7*a[7]*(a[8]^2 + 2*a[6]*a[
             10]) + 924*a[2]^5*a[6]*
             a[11] + 28*a[2]^2*
             (9*a[6]^2*a[9] + 2*a[8]*a[
             12]) + 429*a[2]^8*a[13] + 
            14*a[2]*(4*a[7]^2*a[8] + 
             8*a[6]*a[8]^2 + a[7]*a[
             14]) + 2*a[6]*a[16]) + 
          132*a[1]^10*(a[10]*a[12] + 
            13*a[2]*(a[8]*a[13] + 
             7*a[2]*a[6]*a[14] + 
             28*a[2]^4*a[16])) + 
          182*a[1]^12*(a[8]*a[14] + 
            15*a[2]*a[6]*a[15] + 
            170*a[2]^4*a[17]) + 
          a[5]*(504*a[1]^6*a[9]^2 + 
            720*a[1]*a[2]^7*a[10] + 
            336*a[1]^5*a[8]*a[10] + 
            720*a[1]^7*a[8]*a[10] + 
            9240*a[1]^3*a[2]^6*a[11] + 
            210*a[1]^4*a[7]*a[11] + 
            990*a[1]^8*a[7]*a[11] + 
            33264*a[1]^5*a[2]^5*a[12] + 
            1320*a[1]^9*a[6]*a[12] + 
            30*a[1]^2*(12*a[6]^2*a[7] + 
             a[9]^2 + 2*a[8]*a[10] + 
             2*a[7]*a[11] + 2*a[6]*a[
             12]) + 3*(a[9]^2 + 
             2*(a[8]*a[10] + a[7]*
             a[11] + a[6]*a[12])) + 
            30*a[2]^4*(7*a[7]^2 + 
             56*a[1]*a[6]*a[8] + 
             1716*a[1]^7*a[13]) + 
            20*a[2]^3*(42*a[1]*a[7]*a[
             8] + 168*a[1]^2*a[7]*a[8] + 
             6*a[6]*a[9] + 504*a[1]^3*a[
             6]*a[9] + a[14] + 2002*a[1]^
             9*a[14]) + 30*a[2]^2*
             ((1 + 112*a[1]^3)*a[8]^2 + 
             2*((1 + 21*a[1]^2 + 126*
             a[1]^4)*a[7]*a[9] + 
             (1 + 6*a[1] + 252*a[1]^5)*
             a[6]*a[10] + a[1]*(1 + 
             273*a[1]^10)*a[15])) + 
            2*a[2]*(10*(1 + 18*a[1])*
             a[6]^3 + 60*a[1]*(1 + 
             3*a[1] + 66*a[1]^6)*a[6]*a[
             11] + 3*(280*a[1]^4*a[8]*
             a[9] + 504*a[1]^5*a[8]*
             a[9] + 140*a[1]^3*a[7]*
             a[10] + 840*a[1]^6*a[7]*
             a[10] + 20*a[1]*(a[8]*
             a[9] + a[7]*a[10]) + 
             a[16] + 10*a[1]^2*a[16] + 
             560*a[1]^13*a[16])) + 
            272*a[1]^15*a[17] + 
            6*a[1]*(10*a[6]^2*a[7] + 
             a[17]) + 20*a[1]^3*
             (21*a[6]^2*a[7] + 6*a[6]*a[
             12] + a[17])) + 240*a[1]^14*
           (a[6]*a[16] + 51*a[2]^3*
             a[18]) + 3*a[2]^2*a[19] + 
          2907*a[1]^16*a[2]^2*a[19] + 
          2*a[2]*a[20] + 380*a[1]^18*
           a[2]*a[20] + 3*a[1]*
           (168*a[2]^6*a[7]*a[9] + 
            112*a[2]^5*a[8]*a[9] + 
            120*a[2]^2*a[6]*(a[7]*a[8] + 
             a[6]*a[9]) + 70*a[2]^4*a[7]*
             a[11] + a[11]^2 + 40*a[2]^3*
             a[6]*(7*a[7]^2 + a[13]) + 
            2*(a[10]*a[12] + a[9]*a[
             13] + a[8]*a[14] + a[7]*a[
             15] + a[6]*a[16]) + 
            2*a[2]*a[20]) + 21*a[1]^20*
           a[21] + 3*a[1]^2*(20*a[6]^4 + 
            210*a[2]^2*a[7]^3 + 
            504*a[2]^5*a[8]*a[9] + 
            280*a[2]^4*a[8]*a[10] + 
            40*a[6]^2*(14*a[2]^3*a[8] + 
             3*a[2]*a[10]) + 220*a[2]^9*
             a[12] + 140*a[2]^3*a[7]*
             a[12] + 60*a[2]*a[6]*
             (a[8]^2 + 2*a[7]*a[9] + 
             14*a[2]^5*a[10] + a[2]*(
             7*a[7]*a[8] + a[14])) + 
            a[21])) + 2*a[1]*a[2]*
         a[22] + 22*a[1]^21*a[2]*a[22] - 
        b[23]));
        
    a[24] = -((1/(a[1] + a[1]^24))*
       (a[4]^6*a[6] + 15*a[2]^2*a[5]^4*
         a[6] + 30*a[2]*a[5]^3*a[6]^2 + 
        120*a[1]*a[2]*a[5]^3*a[6]^2 + 
        20*a[1]*a[5]^2*a[6]^3 + 
        90*a[1]^2*a[5]^2*a[6]^3 + 
        20*a[2]^3*a[6]^4 + 20*a[2]*
         a[5]^4*a[7] + 105*a[1]^2*a[2]*
         a[5]^4*a[7] + 105*a[2]^4*a[5]^2*
         a[6]*a[7] + 60*a[1]*a[5]^3*a[6]*
         a[7] + 60*a[1]^2*a[5]^3*a[6]*
         a[7] + 140*a[1]^3*a[5]^3*a[6]*
         a[7] + 120*a[2]^3*a[5]*a[6]^2*
         a[7] + 420*a[1]*a[2]^3*a[5]*
         a[6]^2*a[7] + 180*a[1]*a[2]^2*
         a[6]^3*a[7] + 210*a[1]^2*a[2]^2*
         a[6]^3*a[7] + 420*a[1]*a[2]^3*
         a[5]^2*a[7]^2 + 30*a[2]^2*a[5]*
         a[6]*a[7]^2 + 180*a[1]*a[2]^2*
         a[5]*a[6]*a[7]^2 + 1260*a[1]^2*
         a[2]^2*a[5]*a[6]*a[7]^2 + 
        180*a[1]^2*a[2]*a[6]^2*a[7]^2 + 
        420*a[1]^3*a[2]*a[6]^2*a[7]^2 + 
        21*a[2]^5*a[7]^3 + 20*a[1]*a[2]*
         a[5]*a[7]^3 + 420*a[1]^3*a[2]*
         a[5]*a[7]^3 + 20*a[1]^3*a[6]*
         a[7]^3 + 105*a[1]^4*a[6]*
         a[7]^3 + a[3]^8*a[8] + 
        280*a[1]*a[2]^4*a[5]^3*a[8] + 
        20*a[1]*a[5]^4*a[8] + 
        70*a[1]^4*a[5]^4*a[8] + 
        60*a[2]^3*a[5]^2*a[6]*a[8] + 
        1680*a[1]^2*a[2]^3*a[5]^2*a[6]*
         a[8] + 28*a[2]^6*a[6]^2*a[8] + 
        30*a[2]^2*a[5]*a[6]^2*a[8] + 
        360*a[1]*a[2]^2*a[5]*a[6]^2*
         a[8] + 1680*a[1]^3*a[2]^2*a[5]*
         a[6]^2*a[8] + 180*a[1]^2*a[2]*
         a[6]^3*a[8] + 280*a[1]^4*a[2]*
         a[6]^3*a[8] + 56*a[2]^6*a[5]*
         a[7]*a[8] + 60*a[2]^2*a[5]^2*
         a[7]*a[8] + 630*a[1]^2*a[2]^2*
         a[5]^2*a[7]*a[8] + 1680*a[1]^3*
         a[2]^2*a[5]^2*a[7]*a[8] + 
        42*a[2]^5*a[6]*a[7]*a[8] + 
        336*a[1]*a[2]^5*a[6]*a[7]*a[8] + 
        120*a[1]*a[2]*a[5]*a[6]*a[7]*
         a[8] + 360*a[1]^2*a[2]*a[5]*
         a[6]*a[7]*a[8] + 840*a[1]^3*
         a[2]*a[5]*a[6]*a[7]*a[8] + 
        1680*a[1]^4*a[2]*a[5]*a[6]*a[7]*
         a[8] + 120*a[1]^3*a[6]^2*a[7]*
         a[8] + 105*a[1]^4*a[6]^2*a[7]*
         a[8] + 168*a[1]^5*a[6]^2*a[7]*
         a[8] + 210*a[1]*a[2]^4*a[7]^2*
         a[8] + 420*a[1]^2*a[2]^4*a[7]^2*
         a[8] + 30*a[1]^2*a[5]*a[7]^2*
         a[8] + 210*a[1]^4*a[5]*a[7]^2*
         a[8] + 168*a[1]^5*a[5]*a[7]^2*
         a[8] + 336*a[1]*a[2]^5*a[5]*
         a[8]^2 + 60*a[1]*a[2]*a[5]^2*
         a[8]^2 + 840*a[1]^4*a[2]*a[5]^2*
         a[8]^2 + 15*a[2]^4*a[6]*
         a[8]^2 + 840*a[1]^2*a[2]^4*a[6]*
         a[8]^2 + 30*a[1]^2*a[5]*a[6]*
         a[8]^2 + 60*a[1]^3*a[5]*a[6]*
         a[8]^2 + 336*a[1]^5*a[5]*a[6]*
         a[8]^2 + 210*a[1]^2*a[2]^3*a[7]*
         a[8]^2 + 1120*a[1]^3*a[2]^3*
         a[7]*a[8]^2 + 420*a[1]^4*a[2]^2*
         a[8]^3 + 36*a[2]^7*a[5]^2*
         a[9] + 1680*a[1]^3*a[2]^3*
         a[5]^3*a[9] + 504*a[1]*a[2]^6*
         a[5]*a[6]*a[9] + 60*a[2]^2*
         a[5]^2*a[6]*a[9] + 180*a[1]*
         a[2]^2*a[5]^2*a[6]*a[9] + 
        3780*a[1]^4*a[2]^2*a[5]^2*a[6]*
         a[9] + 756*a[1]^2*a[2]^5*a[6]^2*
         a[9] + 60*a[1]*a[2]*a[5]*a[6]^2*
         a[9] + 360*a[1]^2*a[2]*a[5]*
         a[6]^2*a[9] + 1512*a[1]^5*a[2]*
         a[5]*a[6]^2*a[9] + 60*a[1]^3*
         a[6]^3*a[9] + 84*a[1]^6*a[6]^3*
         a[9] + 42*a[2]^5*a[5]*a[7]*
         a[9] + 1512*a[1]^2*a[2]^5*a[5]*
         a[7]*a[9] + 120*a[1]*a[2]*
         a[5]^2*a[7]*a[9] + 420*a[1]^3*
         a[2]*a[5]^2*a[7]*a[9] + 
        1512*a[1]^5*a[2]*a[5]^2*a[7]*
         a[9] + 30*a[2]^4*a[6]*a[7]*
         a[9] + 210*a[1]*a[2]^4*a[6]*
         a[7]*a[9] + 2520*a[1]^3*a[2]^4*
         a[6]*a[7]*a[9] + 60*a[1]^2*a[5]*
         a[6]*a[7]*a[9] + 120*a[1]^3*
         a[5]*a[6]*a[7]*a[9] + 
        210*a[1]^4*a[5]*a[6]*a[7]*a[9] + 
        504*a[1]^6*a[5]*a[6]*a[7]*a[9] + 
        420*a[1]^2*a[2]^3*a[7]^2*a[9] + 
        1260*a[1]^4*a[2]^3*a[7]^2*a[9] + 
        9*a[2]^8*a[8]*a[9] + 840*a[1]^2*
         a[2]^4*a[5]*a[8]*a[9] + 
        2520*a[1]^3*a[2]^4*a[5]*a[8]*
         a[9] + 60*a[1]^2*a[5]^2*a[8]*
         a[9] + 168*a[1]^5*a[5]^2*a[8]*
         a[9] + 252*a[1]^6*a[5]^2*a[8]*
         a[9] + 120*a[1]*a[2]^3*a[6]*
         a[8]*a[9] + 1120*a[1]^3*a[2]^3*
         a[6]*a[8]*a[9] + 2520*a[1]^4*
         a[2]^3*a[6]*a[8]*a[9] + 
        420*a[1]^3*a[2]^2*a[7]*a[8]*
         a[9] + 840*a[1]^4*a[2]^2*a[7]*
         a[8]*a[9] + 1512*a[1]^5*a[2]^2*
         a[7]*a[8]*a[9] + 336*a[1]^5*
         a[2]*a[8]^2*a[9] + 252*a[1]^6*
         a[2]*a[8]^2*a[9] + 72*a[1]*
         a[2]^7*a[9]^2 + 10*a[2]^3*a[5]*
         a[9]^2 + 2520*a[1]^4*a[2]^3*
         a[5]*a[9]^2 + 90*a[1]^2*a[2]^2*
         a[6]*a[9]^2 + 1512*a[1]^5*
         a[2]^2*a[6]*a[9]^2 + 
        105*a[1]^4*a[2]*a[7]*a[9]^2 + 
        504*a[1]^6*a[2]*a[7]*a[9]^2 + 
        28*a[1]^6*a[8]*a[9]^2 + 
        72*a[1]^7*a[8]*a[9]^2 + 
        21*a[4]^5*(a[2]^2*a[7] + 
          2*a[1]*a[3]*a[7] + 8*a[1]^2*
           a[2]*a[8] + 6*a[1]^4*a[9]) + 
        1260*a[1]^2*a[2]^6*a[5]^2*
         a[10] + 30*a[2]^2*a[5]^3*
         a[10] + 2520*a[1]^5*a[2]^2*
         a[5]^3*a[10] + 10*a[2]^9*a[6]*
         a[10] + 5040*a[1]^3*a[2]^5*a[5]*
         a[6]*a[10] + 120*a[1]*a[2]*
         a[5]^2*a[6]*a[10] + 180*a[1]^2*
         a[2]*a[5]^2*a[6]*a[10] + 
        2520*a[1]^6*a[2]*a[5]^2*a[6]*
         a[10] + 30*a[2]^4*a[6]^2*
         a[10] + 3150*a[1]^4*a[2]^4*
         a[6]^2*a[10] + 30*a[1]^2*a[5]*
         a[6]^2*a[10] + 120*a[1]^3*a[5]*
         a[6]^2*a[10] + 360*a[1]^7*a[5]*
         a[6]^2*a[10] + 90*a[1]*a[2]^8*
         a[7]*a[10] + 210*a[1]*a[2]^4*
         a[5]*a[7]*a[10] + 6300*a[1]^4*
         a[2]^4*a[5]*a[7]*a[10] + 
        60*a[1]^2*a[5]^2*a[7]*a[10] + 
        105*a[1]^4*a[5]^2*a[7]*a[10] + 
        360*a[1]^7*a[5]^2*a[7]*a[10] + 
        120*a[1]*a[2]^3*a[6]*a[7]*
         a[10] + 420*a[1]^2*a[2]^3*a[6]*
         a[7]*a[10] + 5040*a[1]^5*a[2]^3*
         a[6]*a[7]*a[10] + 420*a[1]^3*
         a[2]^2*a[7]^2*a[10] + 
        1260*a[1]^6*a[2]^2*a[7]^2*
         a[10] + 8*a[2]^7*a[8]*a[10] + 
        360*a[1]^2*a[2]^7*a[8]*a[10] + 
        20*a[2]^3*a[5]*a[8]*a[10] + 
        1120*a[1]^3*a[2]^3*a[5]*a[8]*
         a[10] + 5040*a[1]^5*a[2]^3*a[5]*
         a[8]*a[10] + 180*a[1]^2*a[2]^2*
         a[6]*a[8]*a[10] + 840*a[1]^4*
         a[2]^2*a[6]*a[8]*a[10] + 
        2520*a[1]^6*a[2]^2*a[6]*a[8]*
         a[10] + 210*a[1]^4*a[2]*a[7]*
         a[8]*a[10] + 336*a[1]^5*a[2]*
         a[7]*a[8]*a[10] + 720*a[1]^7*
         a[2]*a[7]*a[8]*a[10] + 
        56*a[1]^6*a[8]^2*a[10] + 
        45*a[1]^8*a[8]^2*a[10] + 
        252*a[1]^2*a[2]^6*a[9]*a[10] + 
        840*a[1]^3*a[2]^6*a[9]*a[10] + 
        60*a[1]*a[2]^2*a[5]*a[9]*a[10] + 
        1512*a[1]^5*a[2]^2*a[5]*a[9]*
         a[10] + 2520*a[1]^6*a[2]^2*a[5]*
         a[9]*a[10] + 120*a[1]^3*a[2]*
         a[6]*a[9]*a[10] + 504*a[1]^6*
         a[2]*a[6]*a[9]*a[10] + 
        720*a[1]^7*a[2]*a[6]*a[9]*
         a[10] + 42*a[1]^5*a[7]*a[9]*
         a[10] + 72*a[1]^7*a[7]*a[9]*
         a[10] + 90*a[1]^8*a[7]*a[9]*
         a[10] + 1260*a[1]^4*a[2]^5*
         a[10]^2 + 30*a[1]^2*a[2]*a[5]*
         a[10]^2 + 720*a[1]^7*a[2]*a[5]*
         a[10]^2 + 15*a[1]^4*a[6]*
         a[10]^2 + 90*a[1]^8*a[6]*
         a[10]^2 + 24*a[3]^7*
         (3*a[1]*a[2]*a[9] + 5*a[1]^3*
           a[10]) + 110*a[1]*a[2]^9*a[5]*
         a[11] + 6930*a[1]^4*a[2]^5*
         a[5]^2*a[11] + 60*a[1]*a[2]*
         a[5]^3*a[11] + 1320*a[1]^7*a[2]*
         a[5]^3*a[11] + 495*a[1]^2*
         a[2]^8*a[6]*a[11] + 
        30*a[2]^4*a[5]*a[6]*a[11] + 
        13860*a[1]^5*a[2]^4*a[5]*a[6]*
         a[11] + 60*a[1]^2*a[5]^2*a[6]*
         a[11] + 60*a[1]^3*a[5]^2*a[6]*
         a[11] + 495*a[1]^8*a[5]^2*a[6]*
         a[11] + 120*a[1]*a[2]^3*a[6]^2*
         a[11] + 4620*a[1]^6*a[2]^3*
         a[6]^2*a[11] + 1320*a[1]^3*
         a[2]^7*a[7]*a[11] + 
        20*a[2]^3*a[5]*a[7]*a[11] + 
        420*a[1]^2*a[2]^3*a[5]*a[7]*
         a[11] + 9240*a[1]^6*a[2]^3*a[5]*
         a[7]*a[11] + 180*a[1]^2*a[2]^2*
         a[6]*a[7]*a[11] + 420*a[1]^3*
         a[2]^2*a[6]*a[7]*a[11] + 
        3960*a[1]^7*a[2]^2*a[6]*a[7]*
         a[11] + 210*a[1]^4*a[2]*a[7]^2*
         a[11] + 495*a[1]^8*a[2]*a[7]^2*
         a[11] + 56*a[1]*a[2]^6*a[8]*
         a[11] + 2310*a[1]^4*a[2]^6*a[8]*
         a[11] + 60*a[1]*a[2]^2*a[5]*
         a[8]*a[11] + 840*a[1]^4*a[2]^2*
         a[5]*a[8]*a[11] + 3960*a[1]^7*
         a[2]^2*a[5]*a[8]*a[11] + 
        120*a[1]^3*a[2]*a[6]*a[8]*
         a[11] + 336*a[1]^5*a[2]*a[6]*
         a[8]*a[11] + 990*a[1]^8*a[2]*
         a[6]*a[8]*a[11] + 42*a[1]^5*
         a[7]*a[8]*a[11] + 56*a[1]^6*
         a[7]*a[8]*a[11] + 110*a[1]^9*
         a[7]*a[8]*a[11] + 504*a[1]^3*
         a[2]^5*a[9]*a[11] + 2772*a[1]^5*
         a[2]^5*a[9]*a[11] + 
        60*a[1]^2*a[2]*a[5]*a[9]*a[11] + 
        504*a[1]^6*a[2]*a[5]*a[9]*
         a[11] + 990*a[1]^8*a[2]*a[5]*
         a[9]*a[11] + 30*a[1]^4*a[6]*
         a[9]*a[11] + 72*a[1]^7*a[6]*
         a[9]*a[11] + 110*a[1]^9*a[6]*
         a[9]*a[11] + 1260*a[1]^5*a[2]^4*
         a[10]*a[11] + 2310*a[1]^6*
         a[2]^4*a[10]*a[11] + 
        20*a[1]^3*a[5]*a[10]*a[11] + 
        90*a[1]^8*a[5]*a[10]*a[11] + 
        110*a[1]^9*a[5]*a[10]*a[11] + 
        1320*a[1]^7*a[2]^3*a[11]^2 + 
        a[2]^12*a[12] + 1980*a[1]^3*
         a[2]^8*a[5]*a[12] + 
        13860*a[1]^6*a[2]^4*a[5]^2*
         a[12] + 30*a[1]^2*a[5]^3*
         a[12] + 220*a[1]^9*a[5]^3*
         a[12] + 3960*a[1]^4*a[2]^7*a[6]*
         a[12] + 20*a[2]^3*a[5]*a[6]*
         a[12] + 120*a[1]*a[2]^3*a[5]*
         a[6]*a[12] + 15840*a[1]^7*
         a[2]^3*a[5]*a[6]*a[12] + 
        180*a[1]^2*a[2]^2*a[6]^2*a[12] + 
        2970*a[1]^8*a[2]^2*a[6]^2*
         a[12] + 7*a[2]^6*a[7]*a[12] + 
        5544*a[1]^5*a[2]^6*a[7]*a[12] + 
        60*a[1]*a[2]^2*a[5]*a[7]*a[12] + 
        420*a[1]^3*a[2]^2*a[5]*a[7]*
         a[12] + 5940*a[1]^8*a[2]^2*a[5]*
         a[7]*a[12] + 120*a[1]^3*a[2]*
         a[6]*a[7]*a[12] + 210*a[1]^4*
         a[2]*a[6]*a[7]*a[12] + 
        1320*a[1]^9*a[2]*a[6]*a[7]*
         a[12] + 42*a[1]^5*a[7]^2*
         a[12] + 66*a[1]^10*a[7]^2*
         a[12] + 168*a[1]^2*a[2]^5*a[8]*
         a[12] + 5544*a[1]^6*a[2]^5*a[8]*
         a[12] + 60*a[1]^2*a[2]*a[5]*
         a[8]*a[12] + 336*a[1]^5*a[2]*
         a[5]*a[8]*a[12] + 1320*a[1]^9*
         a[2]*a[5]*a[8]*a[12] + 
        30*a[1]^4*a[6]*a[8]*a[12] + 
        56*a[1]^6*a[6]*a[8]*a[12] + 
        132*a[1]^10*a[6]*a[8]*a[12] + 
        630*a[1]^4*a[2]^4*a[9]*a[12] + 
        3960*a[1]^7*a[2]^4*a[9]*a[12] + 
        20*a[1]^3*a[5]*a[9]*a[12] + 
        72*a[1]^7*a[5]*a[9]*a[12] + 
        132*a[1]^10*a[5]*a[9]*a[12] + 
        840*a[1]^6*a[2]^3*a[10]*a[12] + 
        1980*a[1]^8*a[2]^3*a[10]*a[12] + 
        495*a[1]^8*a[2]^2*a[11]*a[12] + 
        660*a[1]^9*a[2]^2*a[11]*a[12] + 
        a[2]*a[12]^2 + 132*a[1]^10*a[2]*
         a[12]^2 + a[4]^4*
         (30*a[1]*a[6]*a[7] + 105*a[1]^2*
           a[6]*a[7] + 70*a[2]^4*a[8] + 
          5*a[5]*a[8] + 280*a[1]^3*a[5]*
           a[8] + 105*a[3]^2*
           (a[2]*a[7] + 4*a[1]^2*a[8]) + 
          1260*a[1]^2*a[2]^3*a[9] + 
          3150*a[1]^4*a[2]^2*a[10] + 
          30*a[3]*(a[5]*a[6] + 
            28*a[1]*a[2]^2*a[8] + 
            84*a[1]^3*a[2]*a[9] + 
            42*a[1]^5*a[10]) + 
          30*a[2]*(a[6]^2 + 7*a[1]*a[5]*
             a[7] + 77*a[1]^6*a[11]) + 
          4*a[12] + 495*a[1]^8*a[12]) + 
        7*a[3]^6*(a[6]*a[7] + 
          2*(4*a[1]*a[5]*a[8] + 
            6*a[2]^3*a[9] + 90*a[1]^2*
             a[2]^2*a[10] + 165*a[1]^4*
             a[2]*a[11] + 66*a[1]^6*
             a[12])) + 78*a[1]^2*a[2]^11*
         a[13] + 10296*a[1]^5*a[2]^7*
         a[5]*a[13] + 20*a[2]^3*a[5]^2*
         a[13] + 12870*a[1]^8*a[2]^3*
         a[5]^2*a[13] + 12012*a[1]^6*
         a[2]^6*a[6]*a[13] + 
        60*a[1]*a[2]^2*a[5]*a[6]*a[13] + 
        180*a[1]^2*a[2]^2*a[5]*a[6]*
         a[13] + 8580*a[1]^9*a[2]^2*a[5]*
         a[6]*a[13] + 120*a[1]^3*a[2]*
         a[6]^2*a[13] + 858*a[1]^10*a[2]*
         a[6]^2*a[13] + 42*a[1]*a[2]^5*
         a[7]*a[13] + 10296*a[1]^7*
         a[2]^5*a[7]*a[13] + 
        60*a[1]^2*a[2]*a[5]*a[7]*a[13] + 
        210*a[1]^4*a[2]*a[5]*a[7]*
         a[13] + 1716*a[1]^10*a[2]*a[5]*
         a[7]*a[13] + 30*a[1]^4*a[6]*
         a[7]*a[13] + 42*a[1]^5*a[6]*
         a[7]*a[13] + 156*a[1]^11*a[6]*
         a[7]*a[13] + 280*a[1]^3*a[2]^4*
         a[8]*a[13] + 6435*a[1]^8*a[2]^4*
         a[8]*a[13] + 20*a[1]^3*a[5]*
         a[8]*a[13] + 56*a[1]^6*a[5]*
         a[8]*a[13] + 156*a[1]^11*a[5]*
         a[8]*a[13] + 504*a[1]^5*a[2]^3*
         a[9]*a[13] + 2860*a[1]^9*a[2]^3*
         a[9]*a[13] + 360*a[1]^7*a[2]^2*
         a[10]*a[13] + 858*a[1]^10*
         a[2]^2*a[10]*a[13] + 
        2*a[2]*a[11]*a[13] + 110*a[1]^9*
         a[2]*a[11]*a[13] + 156*a[1]^11*
         a[2]*a[11]*a[13] + 12*a[1]^11*
         a[12]*a[13] + 13*a[1]^12*a[12]*
         a[13] + 1001*a[1]^4*a[2]^10*
         a[14] + 24024*a[1]^7*a[2]^6*
         a[5]*a[14] + 60*a[1]*a[2]^2*
         a[5]^2*a[14] + 6006*a[1]^10*
         a[2]^2*a[5]^2*a[14] + 
        6*a[2]^5*a[6]*a[14] + 
        18018*a[1]^8*a[2]^5*a[6]*a[14] + 
        60*a[1]^2*a[2]*a[5]*a[6]*a[14] + 
        120*a[1]^3*a[2]*a[5]*a[6]*
         a[14] + 2184*a[1]^11*a[2]*a[5]*
         a[6]*a[14] + 30*a[1]^4*a[6]^2*
         a[14] + 91*a[1]^12*a[6]^2*
         a[14] + 105*a[1]^2*a[2]^4*a[7]*
         a[14] + 10010*a[1]^9*a[2]^4*
         a[7]*a[14] + 20*a[1]^3*a[5]*
         a[7]*a[14] + 42*a[1]^5*a[5]*
         a[7]*a[14] + 182*a[1]^12*a[5]*
         a[7]*a[14] + 280*a[1]^4*a[2]^3*
         a[8]*a[14] + 4004*a[1]^10*
         a[2]^3*a[8]*a[14] + 252*a[1]^6*
         a[2]^2*a[9]*a[14] + 
        1092*a[1]^11*a[2]^2*a[9]*a[14] + 
        2*a[2]*a[10]*a[14] + 
        90*a[1]^8*a[2]*a[10]*a[14] + 
        182*a[1]^12*a[2]*a[10]*a[14] + 
        11*a[1]^10*a[11]*a[14] + 
        14*a[1]^13*a[11]*a[14] + 
        2*a[3]^5*(21*a[1]*a[7]*a[8] + 
          84*a[1]^2*a[7]*a[8] + 
          3*a[6]*a[9] + 252*a[1]^3*a[6]*
           a[9] + 630*a[1]*a[2]^4*
           a[10] + 630*a[1]^4*a[5]*
           a[10] + 4620*a[1]^3*a[2]^3*
           a[11] + 84*a[2]^2*
           (a[5]*a[8] + 99*a[1]^5*
             a[12]) + 3*a[2]*(7*a[7]^2 + 
            4*a[1]*(14*a[6]*a[8] + 
             63*a[1]*a[5]*a[9] + 
             429*a[1]^6*a[13])) + 
          1001*a[1]^9*a[14]) + 
        5005*a[1]^6*a[2]^9*a[15] + 
        30030*a[1]^9*a[2]^5*a[5]*a[15] + 
        60*a[1]^2*a[2]*a[5]^2*a[15] + 
        1365*a[1]^12*a[2]*a[5]^2*a[15] + 
        30*a[1]*a[2]^4*a[6]*a[15] + 
        15015*a[1]^10*a[2]^4*a[6]*
         a[15] + 20*a[1]^3*a[5]*a[6]*
         a[15] + 30*a[1]^4*a[5]*a[6]*
         a[15] + 210*a[1]^13*a[5]*a[6]*
         a[15] + 140*a[1]^3*a[2]^3*a[7]*
         a[15] + 5460*a[1]^11*a[2]^3*
         a[7]*a[15] + 168*a[1]^5*a[2]^2*
         a[8]*a[15] + 1365*a[1]^12*
         a[2]^2*a[8]*a[15] + 2*a[2]*a[9]*
         a[15] + 72*a[1]^7*a[2]*a[9]*
         a[15] + 210*a[1]^13*a[2]*a[9]*
         a[15] + 10*a[1]^9*a[10]*a[15] + 
        15*a[1]^14*a[10]*a[15] + 
        a[4]^3*(10*a[5]*a[6]^2 + 
          120*a[1]*a[5]*a[6]^2 + 
          35*a[3]^4*a[7] + 20*a[5]^2*
           a[7] + 210*a[1]^2*a[5]^2*
           a[7] + 6*a[8]^2 + 280*a[1]^4*
           a[8]^2 + 84*a[2]^6*a[9] + 
          1680*a[1]^3*a[3]^3*a[9] + 
          12*a[7]*a[9] + 140*a[1]^3*a[7]*
           a[9] + 504*a[1]^5*a[7]*a[9] + 
          2520*a[1]^2*a[2]^5*a[10] + 
          12*a[6]*a[10] + 60*a[1]^2*a[6]*
           a[10] + 840*a[1]^6*a[6]*
           a[10] + 12*a[5]*a[11] + 
          20*a[1]*a[5]*a[11] + 
          1320*a[1]^7*a[5]*a[11] + 
          210*a[2]^4*(12*a[1]*a[3]*
             a[9] + 55*a[1]^4*a[11]) + 
          60*a[3]^2*(a[6]^2 + 7*a[1]*
             a[5]*a[7] + 77*a[1]^6*
             a[11]) + 140*a[2]^3*
           (a[6]*a[7] + 4*(a[3]^2*a[8] + 
             2*a[1]*a[5]*a[8] + 30*a[1]^
             3*a[3]*a[10] + 33*a[1]^6*a[
             12])) + 30*a[2]^2*
           (14*a[1]*a[7]^2 + 2*a[6]*
             a[8] + 56*a[1]^2*a[6]*
             a[8] + 252*a[1]^2*a[3]^2*
             a[9] + 168*a[1]^3*a[5]*
             a[9] + 14*a[3]*(a[5]*a[7] + 
             66*a[1]^5*a[11]) + 
            429*a[1]^8*a[13]) + 
          4*a[3]*(105*a[1]^2*a[7]^2 + 
            30*a[1]*a[6]*a[8] + 
            280*a[1]^3*a[6]*a[8] + 
            5*a[5]*a[9] + 630*a[1]^4*
             a[5]*a[9] + 3*a[13] + 
            715*a[1]^9*a[13]) + 
          4*a[2]*(15*a[5]^2*a[6] + 
            280*a[1]*a[3]^3*a[8] + 
            105*a[1]^2*a[7]*a[8] + 
            280*a[1]^3*a[7]*a[8] + 
            30*a[1]*a[6]*a[9] + 
            630*a[1]^4*a[6]*a[9] + 
            3150*a[1]^4*a[3]^2*a[10] + 
            5*a[5]*(168*a[1]^2*a[3]*a[
             8] + a[10] + 252*a[1]^5*a[
             10]) + 30*a[3]*
             ((1 + 7*a[1])*a[6]*a[7] + 
             132*a[1]^7*a[12]) + 
            3*a[14] + 1001*a[1]^10*
             a[14]) + 12*a[1]*a[15] + 
          455*a[1]^12*a[15]) + 
        12870*a[1]^8*a[2]^8*a[16] + 
        5*a[2]^4*a[5]*a[16] + 
        21840*a[1]^11*a[2]^4*a[5]*
         a[16] + 20*a[1]^3*a[5]^2*
         a[16] + 120*a[1]^14*a[5]^2*
         a[16] + 60*a[1]^2*a[2]^3*a[6]*
         a[16] + 7280*a[1]^12*a[2]^3*
         a[6]*a[16] + 105*a[1]^4*a[2]^2*
         a[7]*a[16] + 1680*a[1]^13*
         a[2]^2*a[7]*a[16] + 2*a[2]*a[8]*
         a[16] + 56*a[1]^6*a[2]*a[8]*
         a[16] + 240*a[1]^14*a[2]*a[8]*
         a[16] + 9*a[1]^8*a[9]*a[16] + 
        16*a[1]^15*a[9]*a[16] + 
        5*a[3]^4*(3*a[6]^3 + 84*a[1]^2*
           a[5]^2*a[8] + 56*a[1]^3*a[8]*
           a[9] + 126*a[1]^4*a[8]*a[9] + 
          42*a[2]^6*a[10] + 21*a[1]^2*
           a[7]*a[10] + 252*a[1]^5*a[7]*
           a[10] + 1386*a[1]^2*a[2]^5*
           a[11] + 2*a[6]*
           (3*(1 + 7*a[1])*a[5]*a[7] + 
            28*a[2]^3*a[8] + 378*a[1]^2*
             a[2]^2*a[9] + 
            3*(1 + 210*a[1]^4)*a[2]*
             a[10] + 3*a[1]*(1 + 
             77*a[1]^5)*a[11]) + 
          6930*a[1]^4*a[2]^4*a[12] + 
          a[5]*a[12] + 792*a[1]^7*a[5]*
           a[12] + 84*a[2]^3*
           (6*a[1]*a[5]*a[9] + 
            143*a[1]^6*a[13]) + 
          21*a[2]^2*((1 + 8*a[1])*a[7]*
             a[8] + 120*a[1]^3*a[5]*
             a[10] + 429*a[1]^8*a[14]) + 
          21*a[2]*(a[5]^2*a[7] + 
            132*a[1]^5*a[5]*a[11] + 
            a[1]*(8*a[1]*a[8]^2 + 
             2*a[7]*a[9] + 24*a[1]^2*a[
             7]*a[9] + 143*a[1]^9*a[
             15])) + 364*a[1]^12*
           a[16]) + 19448*a[1]^10*a[2]^7*
         a[17] + 20*a[1]*a[2]^3*a[5]*
         a[17] + 9520*a[1]^13*a[2]^3*
         a[5]*a[17] + 60*a[1]^3*a[2]^2*
         a[6]*a[17] + 2040*a[1]^14*
         a[2]^2*a[6]*a[17] + 2*a[2]*a[7]*
         a[17] + 42*a[1]^5*a[2]*a[7]*
         a[17] + 272*a[1]^15*a[2]*a[7]*
         a[17] + 8*a[1]^7*a[8]*a[17] + 
        17*a[1]^16*a[8]*a[17] + 
        18564*a[1]^12*a[2]^6*a[18] + 
        30*a[1]^2*a[2]^2*a[5]*a[18] + 
        2448*a[1]^15*a[2]^2*a[5]*a[18] + 
        2*a[2]*a[6]*a[18] + 30*a[1]^4*
         a[2]*a[6]*a[18] + 306*a[1]^16*
         a[2]*a[6]*a[18] + 7*a[1]^6*a[7]*
         a[18] + 18*a[1]^17*a[7]*a[18] + 
        a[3]^3*(20*a[5]^3*a[6] + 
          60*a[1]*a[6]*a[7]^2 + 
          420*a[1]^2*a[6]*a[7]^2 + 
          120*a[1]*a[6]^2*a[8] + 
          560*a[1]^3*a[6]^2*a[8] + 
          504*a[1]^5*a[9]*a[10] + 
          840*a[1]^6*a[9]*a[10] + 
          20*a[5]^2*(84*a[1]*a[2]^2*
             a[8] + 252*a[1]^3*a[2]*
             a[9] + a[10] + 126*a[1]^5*
             a[10]) + 1320*a[1]*a[2]^7*
           a[11] + 280*a[1]^4*a[8]*
           a[11] + 1320*a[1]^7*a[8]*
           a[11] + 18480*a[1]^3*a[2]^6*
           a[12] + 140*a[1]^3*a[7]*
           a[12] + 1980*a[1]^8*a[7]*
           a[12] + 72072*a[1]^5*a[2]^5*
           a[13] + 60*a[1]^2*a[6]*
           a[13] + 2860*a[1]^9*a[6]*
           a[13] + 280*a[2]^4*
           (a[7]*a[8] + 9*a[1]*a[6]*
             a[9] + 429*a[1]^7*a[14]) + 
          4*a[5]*(5*(1 + 21*a[1]^2 + 
             56*a[1]^3)*a[7]*a[8] + 
            126*a[2]^5*a[9] + 5*a[6]*
             a[9] + 30*a[1]*a[6]*a[9] + 
            630*a[1]^4*a[6]*a[9] + 
            3150*a[1]^2*a[2]^4*a[10] + 
            11550*a[1]^4*a[2]^3*a[11] + 
            105*a[2]^2*(a[6]*a[7] + 
             132*a[1]^6*a[12]) + 
            5*a[2]*(42*a[1]*a[7]^2 + 
             6*a[6]*a[8] + 168*a[1]^2*a[
             6]*a[8] + a[13] + 1287*a[1]^
             8*a[13]) + 5*a[1]*a[14] + 
            1001*a[1]^10*a[14]) + 
          140*a[2]^3*(8*a[1]*a[8]^2 + 
            a[7]*a[9] + 36*a[1]^2*a[7]*
             a[9] + 120*a[1]^3*a[6]*
             a[10] + 715*a[1]^9*a[15]) + 
          60*a[2]^2*(28*a[1]^2*a[8]*
             a[9] + 84*a[1]^3*a[8]*
             a[9] + 7*a[1]*a[7]*a[10] + 
            210*a[1]^4*a[7]*a[10] + 
            a[6]*a[11] + 462*a[1]^5*a[6]*
             a[11] + 728*a[1]^11*
             a[16]) + 20*a[2]*
           (3*(2 + 7*a[1])*a[6]^2*a[7] + 
            6*a[1]*(1 + 132*a[1]^6)*a[6]*
             a[12] + 7*a[1]^2*
             (18*a[1]^2*a[9]^2 + 
             8*a[1]*a[8]*a[10] + 
             36*a[1]^3*a[8]*a[10] + 
             3*a[7]*a[11] + 66*a[1]^4*a[
             7]*a[11] + 68*a[1]^11*a[
             17])) + 3*a[18] + 
          816*a[1]^15*a[18]) + 
        3*a[4]^2*(10*(1 + 2*a[1])*a[5]^3*
           a[6] + 30*a[2]^2*a[6]^3 + 
          120*a[1]*a[2]*a[6]^2*a[7] + 
          210*a[1]^2*a[2]*a[6]^2*a[7] + 
          4*a[6]*a[7]^2 + 30*a[1]^2*a[6]*
           a[7]^2 + 140*a[1]^3*a[6]*
           a[7]^2 + 56*a[1]*a[3]^5*
           a[8] + 56*a[2]^5*a[6]*a[8] + 
          4*a[6]^2*a[8] + 60*a[1]^2*
           a[6]^2*a[8] + 140*a[1]^4*
           a[6]^2*a[8] + 35*a[2]^4*a[7]*
           a[8] + 280*a[1]*a[2]^4*a[7]*
           a[8] + 560*a[1]^2*a[2]^3*
           a[8]^2 + 1260*a[1]^2*a[2]^4*
           a[6]*a[9] + 140*a[1]*a[2]^3*
           a[7]*a[9] + 1680*a[1]^3*
           a[2]^3*a[7]*a[9] + 560*a[1]^3*
           a[2]^2*a[8]*a[9] + 
          1260*a[1]^4*a[2]^2*a[8]*a[9] + 
          4*a[2]*a[9]^2 + 504*a[1]^5*
           a[2]*a[9]^2 + 15*a[2]^8*
           a[10] + 20*a[2]^3*a[6]*
           a[10] + 4200*a[1]^4*a[2]^3*
           a[6]*a[10] + 210*a[1]^2*
           a[2]^2*a[7]*a[10] + 
          2520*a[1]^5*a[2]^2*a[7]*
           a[10] + 8*a[2]*a[8]*a[10] + 
          280*a[1]^4*a[2]*a[8]*a[10] + 
          840*a[1]^6*a[2]*a[8]*a[10] + 
          8*a[1]*a[9]*a[10] + 84*a[1]^6*
           a[9]*a[10] + 120*a[1]^7*a[9]*
           a[10] + 70*a[3]^4*
           (2*a[2]^2*a[8] + 18*a[1]^2*
             a[2]*a[9] + 15*a[1]^4*
             a[10]) + 2*a[5]^2*
           (35*a[2]^3*a[7] + 420*a[1]^2*
             a[2]^2*a[8] + 
            10*(1 + 63*a[1]^4)*a[2]*
             a[9] + 2*(1 + 5*a[1] + 
             105*a[1]^6)*a[10]) + 
          660*a[1]^2*a[2]^7*a[11] + 
          60*a[1]*a[2]^2*a[6]*a[11] + 
          4620*a[1]^6*a[2]^2*a[6]*
           a[11] + 8*a[2]*a[7]*a[11] + 
          140*a[1]^3*a[2]*a[7]*a[11] + 
          1320*a[1]^7*a[2]*a[7]*a[11] + 
          8*a[1]*a[8]*a[11] + 56*a[1]^5*
           a[8]*a[11] + 165*a[1]^8*a[8]*
           a[11] + 4620*a[1]^4*a[2]^6*
           a[12] + 8*a[2]*a[6]*a[12] + 
          60*a[1]^2*a[2]*a[6]*a[12] + 
          1980*a[1]^8*a[2]*a[6]*a[12] + 
          8*a[1]*a[7]*a[12] + 35*a[1]^4*
           a[7]*a[12] + 220*a[1]^9*a[7]*
           a[12] + 20*a[3]^3*
           ((1 + 7*a[1])*a[6]*a[7] + 
            84*a[1]*a[2]^3*a[9] + 
            420*a[1]^3*a[2]^2*a[10] + 
            7*a[2]*(a[5]*a[7] + 66*a[1]^
             5*a[11]) + 4*a[1]^2*
             (7*a[5]*a[8] + 33*a[1]^5*a[
             12])) + 12012*a[1]^6*a[2]^5*
           a[13] + 8*a[1]*a[6]*a[13] + 
          20*a[1]^3*a[6]*a[13] + 
          286*a[1]^10*a[6]*a[13] + 
          15015*a[1]^8*a[2]^4*a[14] + 
          2*a[3]^2*(15*a[5]^2*a[6] + 
            105*a[1]^2*a[7]*a[8] + 
            280*a[1]^3*a[7]*a[8] + 
            126*a[2]^5*a[9] + 30*a[1]*
             a[6]*a[9] + 630*a[1]^4*a[6]*
             a[9] + 3150*a[1]^2*a[2]^4*
             a[10] + 5*a[5]*
             (168*a[1]*a[2]^2*a[8] + 
             504*a[1]^3*a[2]*a[9] + 
             a[10] + 252*a[1]^5*a[10]) + 
            11550*a[1]^4*a[2]^3*a[11] + 
            105*a[2]^2*(a[6]*a[7] + 
             132*a[1]^6*a[12]) + 
            15*a[2]*(14*a[1]*a[7]^2 + 
             2*a[6]*a[8] + 56*a[1]^2*a[
             6]*a[8] + 429*a[1]^8*a[
             13]) + 2*a[14] + 
            1001*a[1]^10*a[14]) + 
          2*a[5]*(2*(2 + 5*a[1] + 
             35*a[1]^3 + 70*a[1]^4)*a[7]*
             a[8] + 252*a[1]*a[2]^5*
             a[9] + 4*a[6]*a[9] + 
            10*a[1]*a[6]*a[9] + 
            30*a[1]^2*a[6]*a[9] + 
            252*a[1]^5*a[6]*a[9] + 
            2100*a[1]^3*a[2]^4*a[10] + 
            4620*a[1]^5*a[2]^3*a[11] + 
            5*a[2]^2*(6*(1 + 7*a[1])*a[
             6]*a[7] + (1 + 792*a[1]^7)*
             a[12]) + a[2]*
             (5*(1 + 42*a[1]^2)*a[7]^2 + 
             2*(5*(1 + 6*a[1] + 56*a[1]^
             3)*a[6]*a[8] + (2 + 
             5*a[1] + 715*a[1]^9)*
             a[13])) + 4*a[1]*a[14] + 
            5*a[1]^2*a[14] + 182*a[1]^11*
             a[14]) + 10010*a[1]^10*
           a[2]^3*a[15] + 4*a[2]^2*
           a[16] + 3640*a[1]^12*a[2]^2*
           a[16] + a[3]*(20*a[5]*a[6]*
             a[7] + 20*a[5]^2*a[8] + 
            8*a[8]*a[9] + 280*a[1]^4*
             a[8]*a[9] + 504*a[1]^5*a[8]*
             a[9] + 840*a[1]*a[2]^6*
             a[10] + 8*a[7]*a[10] + 
            840*a[1]^6*a[7]*a[10] + 
            140*a[1]^3*(4*a[5]^2*a[8] + 
             a[7]*a[10]) + 9240*a[1]^3*
             a[2]^5*a[11] + 8*a[6]*
             a[11] + 1320*a[1]^7*a[6]*
             a[11] + 60*a[1]^2*a[6]*
             (7*a[5]*a[7] + a[11]) + 
            8*a[5]*a[12] + 1980*a[1]^8*
             a[5]*a[12] + 280*a[2]^4*
             (a[5]*a[8] + 99*a[1]^5*a[
             12]) + 20*a[2]^3*
             (7*a[7]^2 + 4*a[1]*(14*a[6]*
             a[8] + 63*a[1]*a[5]*a[9] + 
             429*a[1]^6*a[13])) + 
            20*a[2]^2*(21*a[1]*a[7]*a[
             8] + 84*a[1]^2*a[7]*a[8] + 
             3*a[6]*a[9] + 252*a[1]^3*a[
             6]*a[9] + 630*a[1]^4*a[5]*a[
             10] + 1001*a[1]^9*a[14]) + 
            4*a[2]*(105*a[1]*a[5]^2*a[
             7] + 280*a[1]^3*a[8]^2 + 
             105*a[1]^2*a[7]*a[9] + 
             630*a[1]^4*a[7]*a[9] + 
             30*a[1]*a[6]*a[10] + 
             1260*a[1]^5*a[6]*a[10] + 
             5*a[5]*(6*a[6]^2 + a[11] + 
             462*a[1]^6*a[11]) + 
             2*a[15] + 1365*a[1]^11*a[
             15]) + a[16] + 560*a[1]^13*
             a[16] + 4*a[1]*(15*a[6]^3 + 
             30*a[5]*a[6]*a[7] + 
             5*a[5]*a[12] + 2*a[16])) + 
          8*a[1]*a[2]*a[17] + 
          680*a[1]^14*a[2]*a[17] + 
          4*a[1]^2*a[18] + 51*a[1]^16*
           a[18]) + 11628*a[1]^14*a[2]^5*
         a[19] + 2*a[2]*a[5]*a[19] + 
        20*a[1]^3*a[2]*a[5]*a[19] + 
        342*a[1]^17*a[2]*a[5]*a[19] + 
        6*a[1]^5*a[6]*a[19] + 
        19*a[1]^18*a[6]*a[19] + 
        4845*a[1]^16*a[2]^4*a[20] + 
        5*a[1]^4*a[5]*a[20] + 
        20*a[1]^19*a[5]*a[20] + 
        a[3]^2*(10*(3 + 56*a[1]^3)*
           a[5]^3*a[8] + 420*a[1]^3*
           a[7]^2*a[8] + 420*a[1]^4*
           a[7]^2*a[8] + 90*a[1]^2*a[6]*
           a[8]^2 + 840*a[1]^4*a[6]*
           a[8]^2 + 180*a[1]^2*a[6]*a[7]*
           a[9] + 420*a[1]^3*a[6]*a[7]*
           a[9] + 1512*a[1]^5*a[6]*a[7]*
           a[9] + 180*a[1]^2*a[6]^2*
           a[10] + 1260*a[1]^6*a[6]^2*
           a[10] + 55*a[2]^9*a[11] + 
          6*a[10]*a[11] + 360*a[1]^7*
           a[10]*a[11] + 495*a[1]^8*
           a[10]*a[11] + 2970*a[1]^2*
           a[2]^8*a[12] + 6*a[9]*a[12] + 
          252*a[1]^6*a[9]*a[12] + 
          660*a[1]^9*a[9]*a[12] + 
          30*a[5]^2*((2 + 6*a[1] + 
             21*a[1]^2)*a[6]*a[7] + 
            a[1]*(2 + 99*a[1]^7)*
             a[12]) + 25740*a[1]^4*
           a[2]^7*a[13] + 6*a[8]*a[13] + 
          168*a[1]^5*a[8]*a[13] + 
          858*a[1]^10*a[8]*a[13] + 
          6*a[7]*a[14] + 105*a[1]^4*a[7]*
           a[14] + 1092*a[1]^11*a[7]*
           a[14] + 84*a[2]^6*
           (3*a[6]*a[9] + 30*a[1]*a[5]*
             a[10] + 1001*a[1]^6*
             a[14]) + 6*a[6]*a[15] + 
          60*a[1]^3*a[6]*a[15] + 
          1365*a[1]^12*a[6]*a[15] + 
          21*a[2]^5*(8*a[8]^2 + 
            3*a[1]*(24*a[7]*a[9] + 
             5*a[1]*(24*a[6]*a[10] + 
             88*a[1]*a[5]*a[11] + 
             429*a[1]^6*a[15]))) + 
          105*a[2]^4*(4*a[5]^2*a[8] + 
            8*a[1]*a[8]*a[9] + 36*a[1]^2*
             a[8]*a[9] + a[7]*a[10] + 
            120*a[1]^3*a[7]*a[10] + 
            330*a[1]^4*a[6]*a[11] + 
            792*a[1]^5*a[5]*a[12] + 
            1144*a[1]^10*a[16]) + 
          2*a[5]*((5 + 90*a[1])*a[6]^3 + 
            30*a[1]*(1 + 3*a[1] + 
             66*a[1]^6)*a[6]*a[11] + 
            3*(140*a[1]^4*a[8]*a[9] + 
             252*a[1]^5*a[8]*a[9] + 
             70*a[1]^3*a[7]*a[10] + 
             420*a[1]^6*a[7]*a[10] + 
             10*a[1]*(a[8]*a[9] + 
             a[7]*a[10]) + a[16] + 
             5*a[1]^2*a[16] + 280*a[1]^
             13*a[16])) + 10*a[2]^3*
           (21*a[6]^2*a[7] + 6*a[6]*
             (56*a[1]*a[5]*a[8] + 
             a[12] + 924*a[1]^6*a[12]) + 
            2*(378*a[1]^2*a[5]^2*a[9] + 
             3*a[5]*(7*a[7]^2 + 1716*
             a[1]^7*a[13]) + 7*a[1]*(
             36*a[1]^2*a[9]^2 + 12*a[1]*
             a[8]*a[10] + 90*a[1]^3*a[8]*
             a[10] + 3*a[7]*a[11] + 
             198*a[1]^4*a[7]*a[11] + 
             442*a[1]^11*a[17]))) + 
          30*a[2]^2*(6*(1 + 14*a[1]^2)*
             a[6]^2*a[8] + 42*a[1]*a[5]*
             a[7]*a[8] + 252*a[1]^5*a[9]*
             a[10] + 126*a[1]^4*
             (5*a[5]^2 + a[9])*a[10] + 
            56*a[1]^3*a[8]*a[11] + 
            462*a[1]^6*a[8]*a[11] + 
            792*a[1]^7*a[7]*a[12] + 
            21*a[1]^2*a[7]*(8*a[5]*a[
             8] + a[12]) + 3*a[6]*
             ((1 + 14*a[1])*a[7]^2 + 
             2*(1 + 84*a[1]^3)*a[5]*a[
             9] + a[1]*(2 + 429*a[1]^7)*
             a[13]) + a[5]*a[14] + 
            2002*a[1]^9*a[5]*a[14] + 
            612*a[1]^14*a[18]) + 
          3*a[2]*(140*a[1]*a[5]^3*a[7] + 
            120*a[1]*a[6]*(a[7]*a[8] + 
             a[6]*a[9]) + 840*a[1]^6*
             a[10]^2 + 504*a[1]^5*a[9]*
             a[11] + 1320*a[1]^7*a[9]*
             a[11] + 20*a[5]^2*
             (3*a[6]^2 + (1 + 231*a[1]^
             6)*a[11]) + 1980*a[1]^8*
             a[8]*a[12] + 140*a[1]^4*
             (9*a[6]^2*a[9] + 2*a[8]*a[
             12]) + 2860*a[1]^9*a[7]*
             a[13] + 140*a[1]^3*a[7]*
             (8*a[6]*a[8] + a[13]) + 
            4004*a[1]^10*a[6]*a[14] + 
            30*a[1]^2*(7*a[7]^3 + 
             14*a[6]*a[7]*a[8] + 
             2*a[6]*a[14]) + 10*a[5]*
             ((1 + 112*a[1]^3)*a[8]^2 + 
             2*((1 + 21*a[1]^2 + 126*
             a[1]^4)*a[7]*a[9] + 
             (1 + 6*a[1] + 252*a[1]^5)*
             a[6]*a[10] + a[1]*(1 + 
             273*a[1]^10)*a[15])) + 
            2*a[19] + 969*a[1]^16*
             a[19]) + 6*a[1]*a[20] + 
          190*a[1]^18*a[20]) + 
        1330*a[1]^18*a[2]^3*a[21] + 
        a[4]*(5*a[5]^5 + a[6]^4 + 
          60*a[1]^2*a[6]^4 + 360*a[1]*
           a[3]^2*a[6]^2*a[7] + 
          630*a[1]^2*a[3]^2*a[6]^2*
           a[7] + 210*a[1]*a[3]^4*
           a[7]^2 + 4*a[3]*a[7]^3 + 
          420*a[1]^3*a[3]*a[7]^3 + 
          30*a[3]^4*a[6]*a[8] + 
          840*a[1]^2*a[3]^4*a[6]*a[8] + 
          24*a[3]*a[6]*a[7]*a[8] + 
          360*a[1]^2*a[3]*a[6]*a[7]*
           a[8] + 840*a[1]^3*a[3]*a[6]*
           a[7]*a[8] + 1680*a[1]^4*a[3]*
           a[6]*a[7]*a[8] + 1120*a[1]^3*
           a[3]^3*a[8]^2 + 12*a[1]*a[7]*
           a[8]^2 + 105*a[1]^4*a[7]*
           a[8]^2 + 336*a[1]^5*a[7]*
           a[8]^2 + 252*a[1]^2*a[3]^6*
           a[9] + 12*a[3]*a[6]^2*a[9] + 
          360*a[1]^2*a[3]*a[6]^2*a[9] + 
          1512*a[1]^5*a[3]*a[6]^2*a[9] + 
          420*a[1]^2*a[3]^3*a[7]*a[9] + 
          2520*a[1]^4*a[3]^3*a[7]*a[9] + 
          12*a[1]*a[7]^2*a[9] + 
          210*a[1]^4*a[7]^2*a[9] + 
          252*a[1]^6*a[7]^2*a[9] + 
          24*a[1]*a[6]*a[8]*a[9] + 
          120*a[1]^3*a[6]*a[8]*a[9] + 
          336*a[1]^5*a[6]*a[8]*a[9] + 
          504*a[1]^6*a[6]*a[8]*a[9] + 
          6*a[3]^2*a[9]^2 + 1512*a[1]^5*
           a[3]^2*a[9]^2 + 4*a[5]^3*
           (105*a[1]*a[2]^2*a[7] + 
            15*(1 + 7*a[1]^2)*a[3]*
             a[7] + 5*a[2]*(6*a[3]*a[
             6] + (3 + 56*a[1]^3)*a[
             8]) + (1 + 15*a[1] + 
             126*a[1]^5)*a[9]) + 
          120*a[1]*a[3]^3*a[6]*a[10] + 
          5040*a[1]^5*a[3]^3*a[6]*
           a[10] + 24*a[1]*a[6]*a[7]*
           a[10] + 120*a[1]^3*a[6]*a[7]*
           a[10] + 210*a[1]^4*a[6]*a[7]*
           a[10] + 720*a[1]^7*a[6]*a[7]*
           a[10] + 12*a[3]^2*a[8]*
           a[10] + 840*a[1]^4*a[3]^2*
           a[8]*a[10] + 2520*a[1]^6*
           a[3]^2*a[8]*a[10] + 
          3*a[3]*a[10]^2 + 12*a[1]*a[3]*
           a[10]^2 + 720*a[1]^7*a[3]*
           a[10]^2 + 11*a[2]^10*a[11] + 
          2772*a[1]^5*a[3]^5*a[11] + 
          12*a[1]*a[6]^2*a[11] + 
          120*a[1]^3*a[6]^2*a[11] + 
          495*a[1]^8*a[6]^2*a[11] + 
          12*a[3]^2*a[7]*a[11] + 
          420*a[1]^3*a[3]^2*a[7]*a[11] + 
          3960*a[1]^7*a[3]^2*a[7]*
           a[11] + 6*a[3]*a[9]*a[11] + 
          24*a[1]*a[3]*a[9]*a[11] + 
          504*a[1]^6*a[3]*a[9]*a[11] + 
          990*a[1]^8*a[3]*a[9]*a[11] + 
          6*a[1]^2*a[11]^2 + 110*a[1]^9*
           a[11]^2 + 660*a[1]^2*a[2]^9*
           a[12] + 12*a[3]^2*a[6]*
           a[12] + 180*a[1]^2*a[3]^2*
           a[6]*a[12] + 5940*a[1]^8*
           a[3]^2*a[6]*a[12] + 
          6*a[3]*a[8]*a[12] + 
          24*a[1]*a[3]*a[8]*a[12] + 
          336*a[1]^5*a[3]*a[8]*a[12] + 
          1320*a[1]^9*a[3]*a[8]*a[12] + 
          12*a[1]^2*a[10]*a[12] + 
          90*a[1]^8*a[10]*a[12] + 
          132*a[1]^10*a[10]*a[12] + 
          6435*a[1]^8*a[3]^4*a[13] + 
          6*a[3]*a[7]*a[13] + 
          24*a[1]*a[3]*a[7]*a[13] + 
          210*a[1]^4*a[3]*a[7]*a[13] + 
          1716*a[1]^10*a[3]*a[7]*a[13] + 
          12*a[1]^2*a[9]*a[13] + 
          72*a[1]^7*a[9]*a[13] + 
          156*a[1]^11*a[9]*a[13] + 
          495*a[2]^8*(2*a[1]*a[3]*
             a[11] + 13*a[1]^4*a[13]) + 
          6*a[5]^2*(70*a[1]*a[3]^3*
             a[7] + a[7]^2 + 10*a[1]*
             a[7]^2 + 70*a[1]^3*a[7]^2 + 
            28*a[2]^5*a[8] + 2*a[6]*
             a[8] + 20*a[1]*a[6]*a[8] + 
            30*a[1]^2*a[6]*a[8] + 
            140*a[1]^4*a[6]*a[8] + 
            630*a[1]^2*a[2]^4*a[9] + 
            10*(1 + 63*a[1]^4)*a[3]^2*
             a[9] + 140*a[2]^3*
             (4*a[1]*a[3]*a[8] + 
             15*a[1]^4*a[10]) + 
            5*a[2]^2*(6*a[6]^2 + 
             21*a[3]^2*a[7] + 504*a[1]^
             3*a[3]*a[9] + 2*(1 + 
             231*a[1]^6)*a[11]) + 
            2*a[3]*(5*(1 + 6*a[1])*a[6]^
             2 + (1 + 10*a[1] + 330*
             a[1]^7)*a[11]) + 2*a[2]*
             (5*(2 + 6*a[1] + 21*a[1]^2)*
             a[6]*a[7] + 420*a[1]^2*a[3]^
             2*a[8] + 10*a[3]*a[10] + 
             1260*a[1]^5*a[3]*a[10] + 
             a[12] + 10*a[1]*a[12] + 
             495*a[1]^8*a[12]) + 
            2*a[1]*a[13] + 10*a[1]^2*
             a[13] + 143*a[1]^10*
             a[13]) + 6*a[3]*a[6]*
           a[14] + 24*a[1]*a[3]*a[6]*
           a[14] + 120*a[1]^3*a[3]*a[6]*
           a[14] + 2184*a[1]^11*a[3]*
           a[6]*a[14] + 12*a[1]^2*a[8]*
           a[14] + 56*a[1]^6*a[8]*
           a[14] + 182*a[1]^12*a[8]*
           a[14] + 24*a[2]^7*
           (3*a[6]*a[9] + 15*a[3]^2*
             a[10] + 660*a[1]^3*a[3]*
             a[12] + 1001*a[1]^6*
             a[14]) + 4*a[3]^3*a[15] + 
          5460*a[1]^11*a[3]^3*a[15] + 
          12*a[1]^2*a[7]*a[15] + 
          42*a[1]^5*a[7]*a[15] + 
          210*a[1]^13*a[7]*a[15] + 
          7*a[2]^6*(8*a[8]^2 + 
            9*a[1]*(8*a[7]*a[9] + 
             a[1]*(40*a[6]*a[10] + 
             220*a[3]^2*a[11] + 1144*
             a[1]^3*a[3]*a[13] + 715*
             a[1]^6*a[15]))) + 
          12*a[1]^2*a[6]*a[16] + 
          30*a[1]^4*a[6]*a[16] + 
          240*a[1]^14*a[6]*a[16] + 
          42*a[2]^5*(8*a[1]*a[8]*a[9] + 
            36*a[1]^2*a[8]*a[9] + 
            120*a[1]*a[3]^3*a[10] + 
            a[7]*a[10] + 120*a[1]^3*a[7]*
             a[10] + 330*a[1]^4*a[6]*
             a[11] + 1980*a[1]^4*a[3]^2*
             a[12] + 8*a[3]*(a[7]*a[8] + 
             9*a[1]*a[6]*a[9] + 429*a[1]^
             7*a[14]) + 1144*a[1]^10*
             a[16]) + 6*a[3]^2*a[17] + 
          12*a[1]*a[3]^2*a[17] + 
          2040*a[1]^14*a[3]^2*a[17] + 
          2*a[5]*(21*a[3]^5*a[7] + 
            6*a[6]^2*a[7] + 30*a[1]*
             a[6]^2*a[7] + 180*a[1]^2*
             a[6]^2*a[7] + 210*a[1]^3*
             a[6]^2*a[7] + 6*a[1]*
             a[9]^2 + 15*a[1]^2*a[9]^2 + 
            252*a[1]^6*a[9]^2 + 
            420*a[3]^4*(2*a[1]*a[2]*a[
             8] + 3*a[1]^3*a[9]) + 
            360*a[1]*a[2]^7*a[10] + 
            12*a[1]*a[8]*a[10] + 
            30*a[1]^2*a[8]*a[10] + 
            168*a[1]^5*a[8]*a[10] + 
            360*a[1]^7*a[8]*a[10] + 
            4620*a[1]^3*a[2]^6*a[11] + 
            12*a[1]*a[7]*a[11] + 
            30*a[1]^2*a[7]*a[11] + 
            105*a[1]^4*a[7]*a[11] + 
            495*a[1]^8*a[7]*a[11] + 
            10*a[3]^3*(6*a[6]^2 + 
             56*a[2]^3*a[8] + 756*a[1]^
             2*a[2]^2*a[9] + 1260*a[1]^
             4*a[2]*a[10] + (1 + 462*
             a[1]^6)*a[11]) + 
            16632*a[1]^5*a[2]^5*a[12] + 
            12*a[1]*a[6]*a[12] + 
            30*a[1]^2*a[6]*a[12] + 
            60*a[1]^3*a[6]*a[12] + 
            660*a[1]^9*a[6]*a[12] + 
            15*a[2]^4*(7*a[7]^2 + 
             56*a[1]*a[6]*a[8] + 
             1716*a[1]^7*a[13]) + 
            3*a[3]^2*(5*(1 + 42*a[1]^2)*
             a[7]^2 + 1260*a[1]*a[2]^4*a[
             9] + 8400*a[1]^3*a[2]^3*a[
             10] + 13860*a[1]^5*a[2]^2*a[
             11] + 10*a[2]*(6*(1 + 
             7*a[1])*a[6]*a[7] + 
             (1 + 792*a[1]^7)*a[12]) + 
             2*(5*(1 + 6*a[1] + 56*a[1]^
             3)*a[6]*a[8] + (1 + 
             5*a[1] + 715*a[1]^9)*
             a[13])) + 10*a[2]^3*
             (42*a[1]*a[7]*a[8] + 
             168*a[1]^2*a[7]*a[8] + 
             6*a[6]*a[9] + 504*a[1]^3*a[
             6]*a[9] + a[14] + 2002*a[1]^
             9*a[14]) + 3*a[3]*
             (2*a[8]^2 + 10*a[1]*a[8]^
             2 + 280*a[1]^4*a[8]^2 + 
             84*a[2]^6*a[9] + 4*a[7]*a[
             9] + 20*a[1]*a[7]*a[9] + 
             140*a[1]^3*a[7]*a[9] + 
             504*a[1]^5*a[7]*a[9] + 
             2520*a[1]^2*a[2]^5*a[10] + 
             4*a[6]*a[10] + 20*a[1]*a[6]*
             a[10] + 60*a[1]^2*a[6]*a[
             10] + 840*a[1]^6*a[6]*a[
             10] + 11550*a[1]^4*a[2]^4*a[
             11] + 140*a[2]^3*(a[6]*
             a[7] + 132*a[1]^6*a[12]) + 
             10*a[2]^2*(42*a[1]*a[7]^2 + 
             6*a[6]*a[8] + 168*a[1]^2*
             a[6]*a[8] + a[13] + 1287*
             a[1]^8*a[13]) + 4*a[2]*(
             5*(1 + 21*a[1]^2 + 56*a[1]^
             3)*a[7]*a[8] + 5*(1 + 
             6*a[1] + 126*a[1]^4)*a[6]*
             a[9] + (1 + 5*a[1] + 1001*
             a[1]^10)*a[14]) + a[15] + 
             4*a[1]*a[15] + 10*a[1]^2*a[
             15] + 455*a[1]^12*a[15]) + 
            3*a[2]^2*((5 + 560*a[1]^3)*
             a[8]^2 + 2*(5*(1 + 21*a[1]^
             2 + 126*a[1]^4)*a[7]*a[9] + 
             5*(1 + 6*a[1] + 252*a[1]^5)*
             a[6]*a[10] + (1 + 5*a[1] + 
             1365*a[1]^11)*a[15])) + 
            2*a[2]*((5 + 90*a[1])*a[6]^
             3 + 6*(1 + 5*a[1] + 
             15*a[1]^2 + 330*a[1]^7)*a[
             6]*a[11] + 3*(2*(1 + 
             5*a[1] + 70*a[1]^4 + 126*
             a[1]^5)*a[8]*a[9] + 
             2*(1 + 5*a[1] + 35*a[1]^3 + 
             210*a[1]^6)*a[7]*a[10] + 
             a[1]*(2 + 5*a[1] + 280*
             a[1]^12)*a[16])) + 
            6*a[1]^2*a[17] + 10*a[1]^3*
             a[17] + 136*a[1]^15*
             a[17]) + 5*a[2]^4*
           (21*a[6]^2*a[7] + 6*a[6]*
             (28*a[3]^2*a[8] + 840*a[1]^
             3*a[3]*a[10] + (1 + 924*
             a[1]^6)*a[12]) + 
            14*(3*a[3]*(3*a[3]^3 + a[7])*
             a[9] + 90*a[1]^4*a[8]*a[
             10] + 12*a[1]^2*(9*a[3]*
             a[7]*a[9] + a[8]*a[10]) + 
             198*a[1]^5*a[7]*a[11] + 
             12*a[1]^3*(3*a[9]^2 + 
             55*a[3]^3*a[11]) + 3*a[1]*(
             8*a[3]*a[8]^2 + a[7]*
             a[11]) + 2574*a[1]^6*a[3]^
             2*a[13] + 2145*a[1]^9*a[3]*
             a[15] + 442*a[1]^12*a[
             17])) + 4*a[2]^3*
           (30*(1 + 14*a[1]^2)*a[6]^2*
             a[8] + 3150*a[1]^2*a[3]^4*
             a[10] + 630*a[1]^4*a[9]*
             a[10] + 1260*a[1]^5*a[9]*
             a[10] + 280*a[1]^3*a[8]*
             a[11] + 2310*a[1]^6*a[8]*
             a[11] + 27720*a[1]^5*a[3]^3*
             a[12] + 105*a[1]^2*a[7]*
             a[12] + 3960*a[1]^7*a[7]*
             a[12] + 15*a[6]*
             ((1 + 14*a[1])*a[7]^2 + 
             252*a[1]^2*a[3]^2*a[9] + 
             2*a[3]*a[11] + 924*a[1]^5*a[
             3]*a[11] + 2*a[1]*a[13] + 
             429*a[1]^8*a[13]) + 
            105*a[3]^2*((1 + 8*a[1])*a[
             7]*a[8] + 429*a[1]^8*a[
             14]) + 210*a[1]*a[3]*
             (4*a[1]*a[8]*a[9] + 
             12*a[1]^2*a[8]*a[9] + 
             a[7]*a[10] + 30*a[1]^3*a[7]*
             a[10] + 104*a[1]^10*a[
             16]) + a[18] + 3060*a[1]^14*
             a[18]) + 6*a[1]*a[3]*
           a[19] + 12*a[1]^2*a[3]*
           a[19] + 342*a[1]^17*a[3]*
           a[19] + 3*a[2]^2*
           (504*a[1]*a[3]^5*a[9] + 
            840*a[1]^6*a[10]^2 + 
            11550*a[1]^4*a[3]^4*a[11] + 
            504*a[1]^5*a[9]*a[11] + 
            1320*a[1]^7*a[9]*a[11] + 
            1980*a[1]^8*a[8]*a[12] + 
            140*a[1]^4*(9*a[6]^2*a[9] + 
             2*a[8]*a[12]) + 2860*a[1]^9*
             a[7]*a[13] + 140*a[1]^3*
             a[7]*(8*a[6]*a[8] + 
             a[13]) + 20*a[3]^3*
             (7*a[7]^2 + 56*a[1]*a[6]*a[
             8] + 1716*a[1]^7*a[13]) + 
            4004*a[1]^10*a[6]*a[14] + 
            30*a[1]^2*(7*a[7]^3 + 
             14*a[6]*a[7]*a[8] + 
             2*a[6]*a[14]) + 
            2*(a[10]^2 + 2*(a[9]*a[11] + 
             a[8]*a[12] + a[7]*a[13] + 
             a[6]*a[14])) + 30*a[3]^2*
             (56*a[1]^2*a[8]^2 + 
             14*a[1]*a[7]*a[9] + 
             168*a[1]^3*a[7]*a[9] + 
             2*a[6]*a[10] + 420*a[1]^4*a[
             6]*a[10] + 1001*a[1]^10*a[
             15]) + 4*a[3]*(15*(2 + 
             7*a[1])*a[6]^2*a[7] + 
             630*a[1]^4*a[9]^2 + 
             280*a[1]^3*a[8]*a[10] + 
             1260*a[1]^5*a[8]*a[10] + 
             105*a[1]^2*a[7]*a[11] + 
             2310*a[1]^6*a[7]*a[11] + 
             30*a[1]*(1 + 132*a[1]^6)*a[
             6]*a[12] + a[17] + 
             2380*a[1]^13*a[17]) + 
            969*a[1]^16*a[19] + 
            4*a[1]*(30*a[6]*a[7]*a[8] + 
             30*a[6]^2*a[9] + a[19])) + 
          2*a[2]*(28*a[3]^6*a[8] + 
            6*(1 + 70*a[1]^3 + 70*a[1]^
             4)*a[7]^2*a[8] + 6*a[6]*
             a[8]^2 + 90*a[1]^2*a[6]*
             a[8]^2 + 840*a[1]^4*a[6]*
             a[8]^2 + 2520*a[1]^3*a[3]^5*
             a[10] + 6*a[6]^2*a[10] + 
            180*a[1]^2*a[6]^2*a[10] + 
            1260*a[1]^6*a[6]^2*a[10] + 
            12*a[1]*a[10]*a[11] + 
            360*a[1]^7*a[10]*a[11] + 
            495*a[1]^8*a[10]*a[11] + 
            12*a[1]*a[9]*a[12] + 
            252*a[1]^6*a[9]*a[12] + 
            660*a[1]^9*a[9]*a[12] + 
            105*a[3]^4*(a[6]*a[7] + 
             132*a[1]^6*a[12]) + 
            12*a[1]*a[8]*a[13] + 
            168*a[1]^5*a[8]*a[13] + 
            858*a[1]^10*a[8]*a[13] + 
            20*a[3]^3*(21*a[1]*a[7]*a[
             8] + 84*a[1]^2*a[7]*a[8] + 
             3*a[6]*a[9] + 252*a[1]^3*a[
             6]*a[9] + 1001*a[1]^9*a[
             14]) + 3*a[7]*
             (4*(1 + 15*a[1]^2 + 
             35*a[1]^3 + 126*a[1]^5)*a[
             6]*a[9] + a[1]*(4 + 
             35*a[1]^3 + 364*a[1]^10)*a[
             14]) + 12*a[1]*a[6]*a[15] + 
            60*a[1]^3*a[6]*a[15] + 
            1365*a[1]^12*a[6]*a[15] + 
            6*a[3]^2*(15*a[6]^3 + 
             280*a[1]^3*a[8]*a[9] + 
             630*a[1]^4*a[8]*a[9] + 
             105*a[1]^2*a[7]*a[10] + 
             1260*a[1]^5*a[7]*a[10] + 
             30*a[1]*(1 + 77*a[1]^5)*a[
             6]*a[11] + a[16] + 
             1820*a[1]^12*a[16]) + 
            3*a[3]*(4*a[9]*a[10] + 
             504*a[1]^5*a[9]*a[10] + 
             840*a[1]^6*a[9]*a[10] + 
             4*a[8]*a[11] + 280*a[1]^4*a[
             8]*a[11] + 1320*a[1]^7*a[8]*
             a[11] + 4*a[7]*a[12] + 
             1980*a[1]^8*a[7]*a[12] + 
             140*a[1]^3*(4*a[6]^2*a[8] + 
             a[7]*a[12]) + 4*a[6]*a[
             13] + 2860*a[1]^9*a[6]*a[
             13] + 60*a[1]^2*a[6]*(
             7*a[7]^2 + a[13]) + a[18] + 
             816*a[1]^15*a[18] + 
             4*a[1]*(15*a[6]*a[7]^2 + 
             30*a[6]^2*a[8] + a[18])) + 
            a[20] + 6*a[1]^2*a[20] + 
            190*a[1]^18*a[20]) + 
          4*a[1]^3*a[21] + 21*a[1]^20*
           a[21]) + 2*a[2]^2*a[22] + 
        231*a[1]^20*a[2]^2*a[22] + 
        a[3]*(10*(2 + 3*a[1])*a[5]^4*
           a[6] + 210*a[2]^4*a[6]*
           a[7]^2 + 120*a[2]^3*a[6]*a[7]*
           a[8] + a[8]^3 + 120*a[2]^3*
           a[6]^2*a[9] + 72*a[2]^7*a[7]*
           a[9] + 56*a[2]^6*a[8]*a[9] + 
          6*a[7]*a[8]*a[9] + 3*a[6]*
           a[9]^2 + 3*a[7]^2*a[10] + 
          6*a[6]*a[8]*a[10] + 20*a[5]^3*
           (7*a[2]^3*a[7] + 84*a[1]^2*
             a[2]^2*a[8] + 
            3*(1 + 42*a[1]^4)*a[2]*
             a[9] + 3*a[1]*(1 + 14*a[1]^
             5)*a[10]) + 42*a[2]^5*a[7]*
           a[11] + 6*a[6]*a[7]*a[11] + 
          3*a[2]*a[11]^2 + 3*a[6]^2*
           a[12] + 6*a[2]*a[10]*a[12] + 
          30*a[2]^4*a[6]*a[13] + 
          6*a[2]*a[9]*a[13] + 90*a[1]^8*
           (11*a[6]*a[7]*a[11] + 
            11*a[2]*a[11]^2 + 66*a[2]^2*
             a[9]*a[12] + 286*a[2]^3*
             a[7]*a[13] + a[10]*a[13]) + 
          6*a[2]*a[8]*a[14] + 
          3*a[5]^2*(40*a[1]*a[7]*a[8] + 
            140*a[1]^3*a[7]*a[8] + 
            280*a[1]^4*a[7]*a[8] + 
            504*a[1]*a[2]^5*a[9] + 
            40*a[1]*a[6]*a[9] + 
            60*a[1]^2*a[6]*a[9] + 
            504*a[1]^5*a[6]*a[9] + 
            4200*a[1]^3*a[2]^4*a[10] + 
            9240*a[1]^5*a[2]^3*a[11] + 
            20*a[2]^2*(3*(1 + 7*a[1])*a[
             6]*a[7] + (1 + 396*a[1]^7)*
             a[12]) + 20*a[2]*
             ((1 + 21*a[1]^2)*a[7]^2 + 
             2*(1 + 3*a[1] + 28*a[1]^3)*
             a[6]*a[8] + a[1]*(2 + 
             143*a[1]^8)*a[13]) + 
            a[14] + 20*a[1]^2*a[14] + 
            364*a[1]^11*a[14]) + 
          132*a[1]^10*(a[11]*a[12] + 
            13*a[2]*(a[9]*a[13] + 
             7*a[2]*a[7]*a[14])) + 
          6*a[2]*a[7]*a[15] + 72*a[1]^7*
           (5*a[7]^2*a[10] + 55*a[2]*
             a[6]^2*a[11] + 55*a[2]^2*
             a[10]*a[11] + 220*a[2]^3*
             a[8]*a[12] + 10*a[2]*a[10]*
             a[12] + 5*a[6]*
             (2*a[8]*a[10] + 143*a[2]^4*
             a[13]) + a[9]*a[14] + 
            715*a[2]^7*a[15]) + 
          182*a[1]^12*(a[9]*a[14] + 
            15*a[2]*a[7]*a[15]) + 
          56*a[1]^6*(9*a[6]*a[9]^2 + 
            165*a[2]^3*a[9]*a[11] + 
            45*a[2]^2*a[10]*a[11] + 
            9*a[7]*(a[8]*a[9] + 
             10*a[2]*a[6]*a[10] + 
             55*a[2]^4*a[12]) + 
            9*a[2]*a[9]*a[13] + 
            a[8]*a[15]) + 6*a[2]*a[6]*
           a[16] + 240*a[1]^14*a[7]*
           a[16] + 110*a[1]^9*
           (6*a[6]^2*a[12] + 12*a[2]*
             a[10]*a[12] + a[11]*a[12] + 
            78*a[2]^2*a[8]*a[13] + 
            364*a[2]^3*a[6]*a[14] + 
            728*a[2]^6*a[16]) + 
          42*a[1]^5*(4*a[8]^3 + 
            36*a[2]*a[7]^2*a[9] + 
            120*a[2]^3*a[10]^2 + 
            792*a[2]^5*a[6]*a[12] + 
            36*a[2]^2*(5*a[6]^2*a[10] + 
             a[9]*a[12]) + 429*a[2]^8*
             a[14] + a[8]*
             (8*(a[7]*a[9] + a[6]*
             a[10]) + 330*a[2]^4*a[11] + 
             8*a[2]*(9*a[6]*a[9] + 
             a[14])) + a[7]*a[16]) + 
          20*a[1]^3*(7*a[6]^3*a[7] + 
            6*a[6]^2*(42*a[2]^3*a[9] + 
             a[12]) + a[2]*(21*a[7]*(
             a[8]^2 + 2*a[7]*a[9]) + 
             252*a[2]^4*a[8]*a[10] + 
             126*a[2]^3*a[9]*a[10] + 
             56*a[2]^2*a[8]*a[12] + 
             143*a[2]^8*a[13] + 
             21*a[2]*a[7]*(4*a[7]*a[8] + 
             a[14])) + 3*a[6]*
             (56*a[2]^2*a[8]^2 + 
             a[9]^2 + 2*a[8]*a[10] + 
             154*a[2]^6*a[11] + 2*a[7]*a[
             11] + 2*a[2]*(7*a[7]*
             a[10] + a[16]))) + 
          30*a[1]^4*(7*a[7]^2*a[10] + 
            210*a[2]^4*a[9]*a[10] + 
            462*a[2]^5*a[7]*a[11] + 
            84*a[2]^3*a[9]*a[11] + 
            7*a[7]*(a[8]*a[9] + a[6]*a[
             11]) + 28*a[2]^2*
             (9*a[6]*a[7]*a[9] + 
             a[8]*a[13]) + 7*a[2]*
             (8*a[6]*a[8]*a[9] + 
             a[7]*(8*a[8]^2 + a[15])) + 
            a[6]*a[17]) + 156*a[1]^11*
           (a[10]*a[13] + 7*a[2]*
             (2*a[8]*a[14] + 15*a[2]*a[
             6]*a[15] + 68*a[2]^4*a[
             17])) + 210*a[1]^13*
           (a[8]*a[15] + 16*a[2]*a[6]*
             a[16] + 204*a[2]^4*a[18]) + 
          2*a[5]*(45*a[2]^8*a[10] + 
            252*a[1]^6*a[9]*a[10] + 
            360*a[1]^7*a[9]*a[10] + 
            1980*a[1]^2*a[2]^7*a[11] + 
            168*a[1]^5*a[8]*a[11] + 
            495*a[1]^8*a[8]*a[11] + 
            13860*a[1]^4*a[2]^6*a[12] + 
            660*a[1]^9*a[7]*a[12] + 
            105*a[1]^4*(4*a[6]^2*a[8] + 
             a[7]*a[12]) + 858*a[1]^10*
             a[6]*a[13] + 84*a[2]^5*
             (2*a[6]*a[8] + 429*a[1]^6*a[
             13]) + 3*(a[9]*a[10] + 
             a[8]*a[11] + a[7]*a[12] + 
             a[6]*a[13]) + 30*a[1]^2*
             (6*a[6]^2*a[8] + a[9]*a[
             10] + a[8]*a[11] + a[7]*a[
             12] + a[6]*(3*a[7]^2 + 
             a[13])) + 105*a[2]^4*
             ((1 + 8*a[1])*a[7]*a[8] + 
             36*a[1]^2*a[6]*a[9] + 
             429*a[1]^8*a[14]) + 
            10*a[2]^3*(168*a[1]^2*a[8]^
             2 + 42*a[1]*a[7]*a[9] + 
             504*a[1]^3*a[7]*a[9] + 
             6*a[6]*a[10] + 1260*a[1]^4*
             a[6]*a[10] + a[15] + 
             3003*a[1]^10*a[15]) + 
            30*a[2]^2*(3*a[6]^3 + 
             (1 + 56*a[1]^3 + 126*a[1]^
             4)*a[8]*a[9] + a[7]*a[10] + 
             21*a[1]^2*a[7]*a[10] + 
             252*a[1]^5*a[7]*a[10] + 
             (1 + 6*a[1] + 462*a[1]^6)*a[
             6]*a[11] + a[1]*a[16] + 
             364*a[1]^12*a[16]) + 
            3*a[2]*(10*(1 + 12*a[1] + 
             21*a[1]^2)*a[6]^2*a[7] + 
             504*a[1]^5*a[9]^2 + 
             280*a[1]^4*a[8]*a[10] + 
             840*a[1]^6*a[8]*a[10] + 
             140*a[1]^3*a[7]*a[11] + 
             1320*a[1]^7*a[7]*a[11] + 
             10*a[1]*(a[9]^2 + 2*a[8]*
             a[10] + 2*a[7]*a[11]) + 
             20*a[1]*(1 + 3*a[1] + 
             99*a[1]^7)*a[6]*a[12] + 
             a[17] + 10*a[1]^2*a[17] + 
             680*a[1]^14*a[17]) + 
            153*a[1]^16*a[18] + 
            3*a[1]*(10*a[6]*a[7]^2 + 
             10*a[6]^2*a[8] + a[18]) + 
            10*a[1]^3*(6*a[6]*(7*a[7]^
             2 + a[13]) + a[18])) + 
          272*a[1]^15*(a[6]*a[17] + 
            57*a[2]^3*a[19]) + 
          3*a[2]^2*a[20] + 3420*a[1]^17*
           a[2]^2*a[20] + 2*a[2]*a[21] + 
          420*a[1]^19*a[2]*a[21] + 
          6*a[1]*(84*a[2]^6*a[8]*a[9] + 
            120*a[2]^7*a[6]*a[10] + 
            56*a[2]^5*a[8]*a[10] + 
            30*a[2]^2*a[6]*(a[8]^2 + 
             2*a[7]*a[9] + 2*a[6]*a[
             10]) + 22*a[2]^10*a[12] + 
            a[11]*a[12] + 35*a[2]^4*
             (4*a[6]^2*a[8] + a[7]*a[
             12]) + a[10]*a[13] + 
            a[9]*a[14] + 10*a[2]^3*
             (7*a[7]^3 + 14*a[6]*a[7]*a[
             8] + 2*a[6]*a[14]) + 
            a[8]*a[15] + a[7]*a[16] + 
            a[6]*a[17] + a[2]*
             (20*a[6]^4 + a[21])) + 
          22*a[1]^21*a[22] + 3*a[1]^2*
           (60*a[6]^3*a[7] + 420*a[2]^2*
             a[7]^2*a[8] + 504*a[2]^5*
             a[9]^2 + 840*a[2]^6*a[7]*
             a[10] + 120*a[2]*a[6]^2*
             a[11] + 280*a[2]^4*a[8]*
             a[11] + 140*a[2]^3*a[7]*
             a[13] + 20*a[2]*a[6]*
             (56*a[2]^2*a[7]*a[8] + 
             6*(a[8]*a[9] + a[7]*
             a[10]) + 3*a[2]*(7*a[7]*
             a[9] + a[15])) + a[22])) + 
        2*a[1]*a[2]*a[23] + 23*a[1]^22*
         a[2]*a[23] - b[24]));
         
   a[25] = -((1/(a[1] + a[1]^25))*
       (a[5]^6 + 60*a[1]*a[4]^3*a[6]^3 + 
        120*a[1]*a[2]*a[4]*a[6]^4 + 
        7*a[1]*a[4]^6*a[7] + 
        30*a[2]*a[4]^4*a[6]*a[7] + 
        210*a[1]*a[2]*a[4]^4*a[6]*a[7] + 
        180*a[2]^2*a[4]^2*a[6]^2*a[7] + 
        630*a[1]*a[2]^2*a[4]^2*a[6]^2*
         a[7] + 60*a[2]^3*a[6]^3*a[7] + 
        140*a[1]*a[2]^3*a[6]^3*a[7] + 
        4*a[4]*a[6]^3*a[7] + 180*a[1]^2*
         a[4]*a[6]^3*a[7] + 140*a[1]^3*
         a[4]*a[6]^3*a[7] + 140*a[2]^3*
         a[4]^3*a[7]^2 + 105*a[1]^2*
         a[4]^4*a[7]^2 + 210*a[2]^4*a[4]*
         a[6]*a[7]^2 + 180*a[1]*a[2]*
         a[4]^2*a[6]*a[7]^2 + 
        1260*a[1]^2*a[2]*a[4]^2*a[6]*
         a[7]^2 + 180*a[1]*a[2]^2*a[6]^2*
         a[7]^2 + 630*a[1]^2*a[2]^2*
         a[6]^2*a[7]^2 + 420*a[1]*a[2]^3*
         a[4]*a[7]^3 + 4*a[4]^2*a[7]^3 + 
        210*a[1]^3*a[4]^2*a[7]^3 + 
        60*a[1]^2*a[2]*a[6]*a[7]^3 + 
        420*a[1]^3*a[2]*a[6]*a[7]^3 + 
        35*a[1]^4*a[7]^4 + 168*a[1]*
         a[2]^2*a[4]^5*a[8] + 
        1120*a[1]*a[2]^3*a[4]^3*a[6]*
         a[8] + 30*a[1]*a[4]^4*a[6]*
         a[8] + 280*a[1]^3*a[4]^4*a[6]*
         a[8] + 840*a[1]*a[2]^4*a[4]*
         a[6]^2*a[8] + 360*a[1]*a[2]*
         a[4]^2*a[6]^2*a[8] + 
        1680*a[1]^3*a[2]*a[4]^2*a[6]^2*
         a[8] + 180*a[1]*a[2]^2*a[6]^3*
         a[8] + 560*a[1]^3*a[2]^2*a[6]^3*
         a[8] + 168*a[2]^5*a[4]^2*a[7]*
         a[8] + 420*a[1]*a[2]^2*a[4]^3*
         a[7]*a[8] + 1680*a[1]^2*a[2]^2*
         a[4]^3*a[7]*a[8] + 56*a[2]^6*
         a[6]*a[7]*a[8] + 120*a[2]^3*
         a[4]*a[6]*a[7]*a[8] + 
        840*a[1]*a[2]^3*a[4]*a[6]*a[7]*
         a[8] + 3360*a[1]^2*a[2]^3*a[4]*
         a[6]*a[7]*a[8] + 24*a[4]^2*a[6]*
         a[7]*a[8] + 180*a[1]^2*a[4]^2*
         a[6]*a[7]*a[8] + 420*a[1]^3*
         a[4]^2*a[6]*a[7]*a[8] + 
        840*a[1]^4*a[4]^2*a[6]*a[7]*
         a[8] + 360*a[1]^2*a[2]*a[6]^2*
         a[7]*a[8] + 420*a[1]^3*a[2]*
         a[6]^2*a[7]*a[8] + 840*a[1]^4*
         a[2]*a[6]^2*a[7]*a[8] + 
        42*a[2]^5*a[7]^2*a[8] + 
        168*a[1]*a[2]^5*a[7]^2*a[8] + 
        1260*a[1]^2*a[2]^2*a[4]*a[7]^2*
         a[8] + 1680*a[1]^3*a[2]^2*a[4]*
         a[7]^2*a[8] + 60*a[1]^3*a[6]*
         a[7]^2*a[8] + 210*a[1]^4*a[6]*
         a[7]^2*a[8] + 168*a[1]^5*a[6]*
         a[7]^2*a[8] + 840*a[1]*a[2]^4*
         a[4]^2*a[8]^2 + 1120*a[1]^3*
         a[2]*a[4]^3*a[8]^2 + 
        336*a[1]*a[2]^5*a[6]*a[8]^2 + 
        180*a[1]*a[2]^2*a[4]*a[6]*
         a[8]^2 + 3360*a[1]^3*a[2]^2*
         a[4]*a[6]*a[8]^2 + 60*a[1]^3*
         a[6]^2*a[8]^2 + 168*a[1]^5*
         a[6]^2*a[8]^2 + 105*a[1]*a[2]^4*
         a[7]*a[8]^2 + 840*a[1]^2*a[2]^4*
         a[7]*a[8]^2 + 12*a[2]*a[4]*a[7]*
         a[8]^2 + 420*a[1]^3*a[2]*a[4]*
         a[7]*a[8]^2 + 1680*a[1]^4*a[2]*
         a[4]*a[7]*a[8]^2 + 560*a[1]^3*
         a[2]^3*a[8]^3 + 4*a[1]*a[4]*
         a[8]^3 + 168*a[1]^5*a[4]*
         a[8]^3 + 9*a[1]*a[3]^8*a[9] + 
        630*a[1]*a[2]^4*a[4]^4*a[9] + 
        504*a[1]^3*a[2]*a[4]^5*a[9] + 
        1512*a[1]*a[2]^5*a[4]^2*a[6]*
         a[9] + 60*a[2]^2*a[4]^3*a[6]*
         a[9] + 5040*a[1]^3*a[2]^2*
         a[4]^3*a[6]*a[9] + 252*a[1]*
         a[2]^6*a[6]^2*a[9] + 
        120*a[2]^3*a[4]*a[6]^2*a[9] + 
        5040*a[1]^3*a[2]^3*a[4]*a[6]^2*
         a[9] + 12*a[4]^2*a[6]^2*a[9] + 
        180*a[1]^2*a[4]^2*a[6]^2*a[9] + 
        756*a[1]^5*a[4]^2*a[6]^2*a[9] + 
        180*a[1]^2*a[2]*a[6]^3*a[9] + 
        504*a[1]^5*a[2]*a[6]^3*a[9] + 
        72*a[2]^7*a[4]*a[7]*a[9] + 
        105*a[2]^4*a[4]^2*a[7]*a[9] + 
        3780*a[1]^2*a[2]^4*a[4]^2*a[7]*
         a[9] + 420*a[1]^2*a[2]*a[4]^3*
         a[7]*a[9] + 2520*a[1]^4*a[2]*
         a[4]^3*a[7]*a[9] + 42*a[2]^5*
         a[6]*a[7]*a[9] + 1512*a[1]^2*
         a[2]^5*a[6]*a[7]*a[9] + 
        360*a[1]*a[2]^2*a[4]*a[6]*a[7]*
         a[9] + 1260*a[1]^2*a[2]^2*a[4]*
         a[6]*a[7]*a[9] + 7560*a[1]^4*
         a[2]^2*a[4]*a[6]*a[7]*a[9] + 
        120*a[1]^3*a[6]^2*a[7]*a[9] + 
        105*a[1]^4*a[6]^2*a[7]*a[9] + 
        252*a[1]^6*a[6]^2*a[7]*a[9] + 
        210*a[1]*a[2]^4*a[7]^2*a[9] + 
        1260*a[1]^3*a[2]^4*a[7]^2*a[9] + 
        12*a[2]*a[4]*a[7]^2*a[9] + 
        840*a[1]^3*a[2]*a[4]*a[7]^2*
         a[9] + 1512*a[1]^5*a[2]*a[4]*
         a[7]^2*a[9] + 56*a[2]^6*a[4]*
         a[8]*a[9] + 504*a[1]*a[2]^6*
         a[4]*a[8]*a[9] + 1680*a[1]^2*
         a[2]^3*a[4]^2*a[8]*a[9] + 
        5040*a[1]^3*a[2]^3*a[4]^2*a[8]*
         a[9] + 12*a[4]^3*a[8]*a[9] + 
        280*a[1]^4*a[4]^3*a[8]*a[9] + 
        504*a[1]^5*a[4]^3*a[8]*a[9] + 
        30*a[2]^4*a[6]*a[8]*a[9] + 
        840*a[1]^2*a[2]^4*a[6]*a[8]*
         a[9] + 2520*a[1]^3*a[2]^4*a[6]*
         a[8]*a[9] + 24*a[2]*a[4]*a[6]*
         a[8]*a[9] + 360*a[1]^2*a[2]*
         a[4]*a[6]*a[8]*a[9] + 
        1680*a[1]^4*a[2]*a[4]*a[6]*a[8]*
         a[9] + 3024*a[1]^5*a[2]*a[4]*
         a[6]*a[8]*a[9] + 420*a[1]^2*
         a[2]^3*a[7]*a[8]*a[9] + 
        1120*a[1]^3*a[2]^3*a[7]*a[8]*
         a[9] + 2520*a[1]^4*a[2]^3*a[7]*
         a[8]*a[9] + 24*a[1]*a[4]*a[7]*
         a[8]*a[9] + 210*a[1]^4*a[4]*
         a[7]*a[8]*a[9] + 336*a[1]^5*
         a[4]*a[7]*a[8]*a[9] + 
        504*a[1]^6*a[4]*a[7]*a[8]*a[9] + 
        840*a[1]^4*a[2]^2*a[8]^2*a[9] + 
        756*a[1]^5*a[2]^2*a[8]^2*a[9] + 
        9*a[2]^8*a[9]^2 + 1512*a[1]^2*
         a[2]^5*a[4]*a[9]^2 + 
        3780*a[1]^4*a[2]^2*a[4]^2*
         a[9]^2 + 60*a[1]*a[2]^3*a[6]*
         a[9]^2 + 2520*a[1]^4*a[2]^3*
         a[6]*a[9]^2 + 12*a[1]*a[4]*a[6]*
         a[9]^2 + 60*a[1]^3*a[4]*a[6]*
         a[9]^2 + 504*a[1]^6*a[4]*a[6]*
         a[9]^2 + 210*a[1]^3*a[2]^2*a[7]*
         a[9]^2 + 1512*a[1]^5*a[2]^2*
         a[7]*a[9]^2 + 168*a[1]^5*a[2]*
         a[8]*a[9]^2 + 504*a[1]^6*a[2]*
         a[8]*a[9]^2 + 36*a[1]^7*
         a[9]^3 + a[5]^4*
         (10*(2 + 3*a[1])*a[4]*a[6] + 
          105*a[1]*a[2]^2*a[7] + 
          20*a[3]*a[7] + 105*a[1]^2*a[3]*
           a[7] + 10*a[2]*(3*a[3]*a[6] + 
            2*(1 + 14*a[1]^3)*a[8]) + 
          20*a[1]*a[9] + 126*a[1]^5*
           a[9]) + 840*a[1]*a[2]^6*
         a[4]^3*a[10] + 4200*a[1]^3*
         a[2]^3*a[4]^4*a[10] + 
        252*a[1]^5*a[4]^5*a[10] + 
        720*a[1]*a[2]^7*a[4]*a[6]*
         a[10] + 12600*a[1]^3*a[2]^4*
         a[4]^2*a[6]*a[10] + 
        120*a[1]*a[2]*a[4]^3*a[6]*
         a[10] + 5040*a[1]^5*a[2]*a[4]^3*
         a[6]*a[10] + 2520*a[1]^3*a[2]^5*
         a[6]^2*a[10] + 360*a[1]*a[2]^2*
         a[4]*a[6]^2*a[10] + 7560*a[1]^5*
         a[2]^2*a[4]*a[6]^2*a[10] + 
        60*a[1]^3*a[6]^3*a[10] + 
        120*a[1]^7*a[6]^3*a[10] + 
        10*a[2]^9*a[7]*a[10] + 
        2520*a[1]^2*a[2]^6*a[4]*a[7]*
         a[10] + 420*a[1]*a[2]^3*a[4]^2*
         a[7]*a[10] + 12600*a[1]^4*
         a[2]^3*a[4]^2*a[7]*a[10] + 
        12*a[4]^3*a[7]*a[10] + 
        140*a[1]^3*a[4]^3*a[7]*a[10] + 
        840*a[1]^6*a[4]^3*a[7]*a[10] + 
        30*a[2]^4*a[6]*a[7]*a[10] + 
        210*a[1]*a[2]^4*a[6]*a[7]*
         a[10] + 6300*a[1]^4*a[2]^4*a[6]*
         a[7]*a[10] + 24*a[2]*a[4]*a[6]*
         a[7]*a[10] + 360*a[1]^2*a[2]*
         a[4]*a[6]*a[7]*a[10] + 
        840*a[1]^3*a[2]*a[4]*a[6]*a[7]*
         a[10] + 5040*a[1]^6*a[2]*a[4]*
         a[6]*a[7]*a[10] + 420*a[1]^2*
         a[2]^3*a[7]^2*a[10] + 
        2520*a[1]^5*a[2]^3*a[7]^2*
         a[10] + 12*a[1]*a[4]*a[7]^2*
         a[10] + 210*a[1]^4*a[4]*a[7]^2*
         a[10] + 360*a[1]^7*a[4]*a[7]^2*
         a[10] + 90*a[1]*a[2]^8*a[8]*
         a[10] + 336*a[1]*a[2]^5*a[4]*
         a[8]*a[10] + 5040*a[1]^3*a[2]^5*
         a[4]*a[8]*a[10] + 1680*a[1]^3*
         a[2]^2*a[4]^2*a[8]*a[10] + 
        7560*a[1]^5*a[2]^2*a[4]^2*a[8]*
         a[10] + 120*a[1]*a[2]^3*a[6]*
         a[8]*a[10] + 1120*a[1]^3*a[2]^3*
         a[6]*a[8]*a[10] + 5040*a[1]^5*
         a[2]^3*a[6]*a[8]*a[10] + 
        24*a[1]*a[4]*a[6]*a[8]*a[10] + 
        120*a[1]^3*a[4]*a[6]*a[8]*
         a[10] + 336*a[1]^5*a[4]*a[6]*
         a[8]*a[10] + 720*a[1]^7*a[4]*
         a[6]*a[8]*a[10] + 420*a[1]^3*
         a[2]^2*a[7]*a[8]*a[10] + 
        840*a[1]^4*a[2]^2*a[7]*a[8]*
         a[10] + 2520*a[1]^6*a[2]^2*a[7]*
         a[8]*a[10] + 336*a[1]^5*a[2]*
         a[8]^2*a[10] + 360*a[1]^7*a[2]*
         a[8]^2*a[10] + 72*a[1]*a[2]^7*
         a[9]*a[10] + 360*a[1]^2*a[2]^7*
         a[9]*a[10] + 2520*a[1]^3*a[2]^4*
         a[4]*a[9]*a[10] + 6300*a[1]^4*
         a[2]^4*a[4]*a[9]*a[10] + 
        24*a[2]*a[4]^2*a[9]*a[10] + 
        1512*a[1]^5*a[2]*a[4]^2*a[9]*
         a[10] + 2520*a[1]^6*a[2]*a[4]^2*
         a[9]*a[10] + 180*a[1]^2*a[2]^2*
         a[6]*a[9]*a[10] + 1512*a[1]^5*
         a[2]^2*a[6]*a[9]*a[10] + 
        2520*a[1]^6*a[2]^2*a[6]*a[9]*
         a[10] + 210*a[1]^4*a[2]*a[7]*
         a[9]*a[10] + 504*a[1]^6*a[2]*
         a[7]*a[9]*a[10] + 720*a[1]^7*
         a[2]*a[7]*a[9]*a[10] + 
        56*a[1]^6*a[8]*a[9]*a[10] + 
        72*a[1]^7*a[8]*a[9]*a[10] + 
        90*a[1]^8*a[8]*a[9]*a[10] + 
        840*a[1]^3*a[2]^6*a[10]^2 + 
        5040*a[1]^5*a[2]^3*a[4]*
         a[10]^2 + 12*a[1]*a[4]^2*
         a[10]^2 + 360*a[1]^7*a[4]^2*
         a[10]^2 + 60*a[1]^3*a[2]*a[6]*
         a[10]^2 + 720*a[1]^7*a[2]*a[6]*
         a[10]^2 + 21*a[1]^5*a[7]*
         a[10]^2 + 90*a[1]^8*a[7]*
         a[10]^2 + 495*a[1]*a[2]^8*
         a[4]^2*a[11] + 9240*a[1]^3*
         a[2]^5*a[4]^3*a[11] + 
        6930*a[1]^5*a[2]^2*a[4]^4*
         a[11] + 110*a[1]*a[2]^9*a[6]*
         a[11] + 9240*a[1]^3*a[2]^6*a[4]*
         a[6]*a[11] + 60*a[2]^3*a[4]^2*
         a[6]*a[11] + 27720*a[1]^5*
         a[2]^3*a[4]^2*a[6]*a[11] + 
        12*a[4]^3*a[6]*a[11] + 
        60*a[1]^2*a[4]^3*a[6]*a[11] + 
        1320*a[1]^7*a[4]^3*a[6]*a[11] + 
        30*a[2]^4*a[6]^2*a[11] + 
        6930*a[1]^5*a[2]^4*a[6]^2*
         a[11] + 12*a[2]*a[4]*a[6]^2*
         a[11] + 360*a[1]^2*a[2]*a[4]*
         a[6]^2*a[11] + 3960*a[1]^7*a[2]*
         a[4]*a[6]^2*a[11] + 495*a[1]^2*
         a[2]^8*a[7]*a[11] + 
        42*a[2]^5*a[4]*a[7]*a[11] + 
        13860*a[1]^4*a[2]^5*a[4]*a[7]*
         a[11] + 630*a[1]^2*a[2]^2*
         a[4]^2*a[7]*a[11] + 
        13860*a[1]^6*a[2]^2*a[4]^2*a[7]*
         a[11] + 120*a[1]*a[2]^3*a[6]*
         a[7]*a[11] + 420*a[1]^2*a[2]^3*
         a[6]*a[7]*a[11] + 9240*a[1]^6*
         a[2]^3*a[6]*a[7]*a[11] + 
        24*a[1]*a[4]*a[6]*a[7]*a[11] + 
        120*a[1]^3*a[4]*a[6]*a[7]*
         a[11] + 210*a[1]^4*a[4]*a[6]*
         a[7]*a[11] + 990*a[1]^8*a[4]*
         a[6]*a[7]*a[11] + 420*a[1]^3*
         a[2]^2*a[7]^2*a[11] + 
        1980*a[1]^7*a[2]^2*a[7]^2*
         a[11] + 8*a[2]^7*a[8]*a[11] + 
        1320*a[1]^3*a[2]^7*a[8]*a[11] + 
        840*a[1]^2*a[2]^4*a[4]*a[8]*
         a[11] + 13860*a[1]^5*a[2]^4*
         a[4]*a[8]*a[11] + 24*a[2]*
         a[4]^2*a[8]*a[11] + 840*a[1]^4*
         a[2]*a[4]^2*a[8]*a[11] + 
        3960*a[1]^7*a[2]*a[4]^2*a[8]*
         a[11] + 180*a[1]^2*a[2]^2*a[6]*
         a[8]*a[11] + 840*a[1]^4*a[2]^2*
         a[6]*a[8]*a[11] + 3960*a[1]^7*
         a[2]^2*a[6]*a[8]*a[11] + 
        210*a[1]^4*a[2]*a[7]*a[8]*
         a[11] + 336*a[1]^5*a[2]*a[7]*
         a[8]*a[11] + 990*a[1]^8*a[2]*
         a[7]*a[8]*a[11] + 56*a[1]^6*
         a[8]^2*a[11] + 55*a[1]^9*a[8]^2*
         a[11] + 252*a[1]^2*a[2]^6*a[9]*
         a[11] + 2310*a[1]^4*a[2]^6*a[9]*
         a[11] + 2520*a[1]^4*a[2]^3*a[4]*
         a[9]*a[11] + 9240*a[1]^6*a[2]^3*
         a[4]*a[9]*a[11] + 24*a[1]*
         a[4]^2*a[9]*a[11] + 252*a[1]^6*
         a[4]^2*a[9]*a[11] + 495*a[1]^8*
         a[4]^2*a[9]*a[11] + 120*a[1]^3*
         a[2]*a[6]*a[9]*a[11] + 
        504*a[1]^6*a[2]*a[6]*a[9]*
         a[11] + 990*a[1]^8*a[2]*a[6]*
         a[9]*a[11] + 42*a[1]^5*a[7]*
         a[9]*a[11] + 72*a[1]^7*a[7]*
         a[9]*a[11] + 110*a[1]^9*a[7]*
         a[9]*a[11] + 1260*a[1]^4*a[2]^5*
         a[10]*a[11] + 2772*a[1]^5*
         a[2]^5*a[10]*a[11] + 
        12*a[2]^2*a[4]*a[10]*a[11] + 
        2520*a[1]^6*a[2]^2*a[4]*a[10]*
         a[11] + 3960*a[1]^7*a[2]^2*a[4]*
         a[10]*a[11] + 30*a[1]^4*a[6]*
         a[10]*a[11] + 90*a[1]^8*a[6]*
         a[10]*a[11] + 110*a[1]^9*a[6]*
         a[10]*a[11] + 2310*a[1]^6*
         a[2]^4*a[11]^2 + 12*a[1]*a[2]*
         a[4]*a[11]^2 + 990*a[1]^8*a[2]*
         a[4]*a[11]^2 + 2*a[3]^7*
         (4*a[4]*a[8] + 
          3*(6*a[2]^2*a[9] + 60*a[1]^2*
             a[2]*a[10] + 55*a[1]^4*
             a[11])) + 132*a[1]*a[2]^10*
         a[4]*a[12] + 7920*a[1]^3*a[2]^7*
         a[4]^2*a[12] + 27720*a[1]^5*
         a[2]^4*a[4]^3*a[12] + 
        3960*a[1]^7*a[2]*a[4]^4*a[12] + 
        1980*a[1]^3*a[2]^8*a[6]*a[12] + 
        33264*a[1]^5*a[2]^5*a[4]*a[6]*
         a[12] + 180*a[1]*a[2]^2*a[4]^2*
         a[6]*a[12] + 23760*a[1]^7*
         a[2]^2*a[4]^2*a[6]*a[12] + 
        120*a[1]*a[2]^3*a[6]^2*a[12] + 
        7920*a[1]^7*a[2]^3*a[6]^2*
         a[12] + 12*a[1]*a[4]*a[6]^2*
         a[12] + 120*a[1]^3*a[4]*a[6]^2*
         a[12] + 660*a[1]^9*a[4]*a[6]^2*
         a[12] + 3960*a[1]^4*a[2]^7*a[7]*
         a[12] + 210*a[1]*a[2]^4*a[4]*
         a[7]*a[12] + 27720*a[1]^6*
         a[2]^4*a[4]*a[7]*a[12] + 
        24*a[2]*a[4]^2*a[7]*a[12] + 
        420*a[1]^3*a[2]*a[4]^2*a[7]*
         a[12] + 5940*a[1]^8*a[2]*a[4]^2*
         a[7]*a[12] + 180*a[1]^2*a[2]^2*
         a[6]*a[7]*a[12] + 420*a[1]^3*
         a[2]^2*a[6]*a[7]*a[12] + 
        5940*a[1]^8*a[2]^2*a[6]*a[7]*
         a[12] + 210*a[1]^4*a[2]*a[7]^2*
         a[12] + 660*a[1]^9*a[2]*a[7]^2*
         a[12] + 56*a[1]*a[2]^6*a[8]*
         a[12] + 5544*a[1]^5*a[2]^6*a[8]*
         a[12] + 1120*a[1]^3*a[2]^3*a[4]*
         a[8]*a[12] + 15840*a[1]^7*
         a[2]^3*a[4]*a[8]*a[12] + 
        24*a[1]*a[4]^2*a[8]*a[12] + 
        168*a[1]^5*a[4]^2*a[8]*a[12] + 
        660*a[1]^9*a[4]^2*a[8]*a[12] + 
        120*a[1]^3*a[2]*a[6]*a[8]*
         a[12] + 336*a[1]^5*a[2]*a[6]*
         a[8]*a[12] + 1320*a[1]^9*a[2]*
         a[6]*a[8]*a[12] + 42*a[1]^5*
         a[7]*a[8]*a[12] + 56*a[1]^6*
         a[7]*a[8]*a[12] + 132*a[1]^10*
         a[7]*a[8]*a[12] + 504*a[1]^3*
         a[2]^5*a[9]*a[12] + 5544*a[1]^6*
         a[2]^5*a[9]*a[12] + 
        12*a[2]^2*a[4]*a[9]*a[12] + 
        1512*a[1]^5*a[2]^2*a[4]*a[9]*
         a[12] + 5940*a[1]^8*a[2]^2*a[4]*
         a[9]*a[12] + 30*a[1]^4*a[6]*
         a[9]*a[12] + 72*a[1]^7*a[6]*
         a[9]*a[12] + 132*a[1]^10*a[6]*
         a[9]*a[12] + 1260*a[1]^5*a[2]^4*
         a[10]*a[12] + 3960*a[1]^7*
         a[2]^4*a[10]*a[12] + 
        24*a[1]*a[2]*a[4]*a[10]*a[12] + 
        720*a[1]^7*a[2]*a[4]*a[10]*
         a[12] + 1320*a[1]^9*a[2]*a[4]*
         a[10]*a[12] + 1320*a[1]^7*
         a[2]^3*a[11]*a[12] + 
        1980*a[1]^8*a[2]^3*a[11]*a[12] + 
        12*a[1]^2*a[4]*a[11]*a[12] + 
        110*a[1]^9*a[4]*a[11]*a[12] + 
        132*a[1]^10*a[4]*a[11]*a[12] + 
        660*a[1]^9*a[2]^2*a[12]^2 + 
        13*a[1]*a[2]^12*a[13] + 
        2860*a[1]^3*a[2]^9*a[4]*a[13] + 
        36036*a[1]^5*a[2]^6*a[4]^2*
         a[13] + 34320*a[1]^7*a[2]^3*
         a[4]^3*a[13] + 4*a[4]^4*a[13] + 
        715*a[1]^9*a[4]^4*a[13] + 
        10296*a[1]^5*a[2]^7*a[6]*a[13] + 
        30*a[2]^4*a[4]*a[6]*a[13] + 
        51480*a[1]^7*a[2]^4*a[4]*a[6]*
         a[13] + 24*a[2]*a[4]^2*a[6]*
         a[13] + 180*a[1]^2*a[2]*a[4]^2*
         a[6]*a[13] + 8580*a[1]^9*a[2]*
         a[4]^2*a[6]*a[13] + 180*a[1]^2*
         a[2]^2*a[6]^2*a[13] + 
        4290*a[1]^9*a[2]^2*a[6]^2*
         a[13] + 7*a[2]^6*a[7]*a[13] + 
        12012*a[1]^6*a[2]^6*a[7]*a[13] + 
        420*a[1]^2*a[2]^3*a[4]*a[7]*
         a[13] + 25740*a[1]^8*a[2]^3*
         a[4]*a[7]*a[13] + 24*a[1]*
         a[4]^2*a[7]*a[13] + 105*a[1]^4*
         a[4]^2*a[7]*a[13] + 858*a[1]^10*
         a[4]^2*a[7]*a[13] + 120*a[1]^3*
         a[2]*a[6]*a[7]*a[13] + 
        210*a[1]^4*a[2]*a[6]*a[7]*
         a[13] + 1716*a[1]^10*a[2]*a[6]*
         a[7]*a[13] + 42*a[1]^5*a[7]^2*
         a[13] + 78*a[1]^11*a[7]^2*
         a[13] + 168*a[1]^2*a[2]^5*a[8]*
         a[13] + 10296*a[1]^7*a[2]^5*
         a[8]*a[13] + 12*a[2]^2*a[4]*
         a[8]*a[13] + 840*a[1]^4*a[2]^2*
         a[4]*a[8]*a[13] + 8580*a[1]^9*
         a[2]^2*a[4]*a[8]*a[13] + 
        30*a[1]^4*a[6]*a[8]*a[13] + 
        56*a[1]^6*a[6]*a[8]*a[13] + 
        156*a[1]^11*a[6]*a[8]*a[13] + 
        630*a[1]^4*a[2]^4*a[9]*a[13] + 
        6435*a[1]^8*a[2]^4*a[9]*a[13] + 
        24*a[1]*a[2]*a[4]*a[9]*a[13] + 
        504*a[1]^6*a[2]*a[4]*a[9]*
         a[13] + 1716*a[1]^10*a[2]*a[4]*
         a[9]*a[13] + 840*a[1]^6*a[2]^3*
         a[10]*a[13] + 2860*a[1]^9*
         a[2]^3*a[10]*a[13] + 
        12*a[1]^2*a[4]*a[10]*a[13] + 
        90*a[1]^8*a[4]*a[10]*a[13] + 
        156*a[1]^11*a[4]*a[10]*a[13] + 
        495*a[1]^8*a[2]^2*a[11]*a[13] + 
        858*a[1]^10*a[2]^2*a[11]*a[13] + 
        2*a[2]*a[12]*a[13] + 132*a[1]^10*
         a[2]*a[12]*a[13] + 156*a[1]^11*
         a[2]*a[12]*a[13] + 13*a[1]^12*
         a[13]^2 + 2*a[5]^3*
         (70*a[1]*a[3]^3*a[7] + 
          15*a[4]^2*a[7] + 105*a[1]^2*
           a[4]^2*a[7] + 15*a[1]*
           a[7]^2 + 70*a[1]^3*a[7]^2 + 
          28*a[2]^5*a[8] + 30*a[1]*a[6]*
           a[8] + 30*a[1]^2*a[6]*a[8] + 
          140*a[1]^4*a[6]*a[8] + 
          630*a[1]^2*a[2]^4*a[9] + 
          15*a[3]^2*(2*a[4]*a[6] + 
            7*a[2]^2*a[7] + 56*a[1]^2*
             a[2]*a[8] + a[9] + 
            42*a[1]^4*a[9]) + 
          2*a[4]*a[10] + 30*a[1]*a[4]*
           a[10] + 420*a[1]^6*a[4]*
           a[10] + 70*a[2]^3*
           (a[4]*a[7] + 30*a[1]^4*
             a[10]) + 15*a[2]^2*
           (2*a[6]^2 + 56*a[1]^2*a[4]*
             a[8] + a[11] + 154*a[1]^6*
             a[11]) + 5*a[3]*
           (3*(1 + 4*a[1])*a[6]^2 + 
            2*(28*a[1]^3*(2*a[4]*a[8] + 
             9*a[2]^2*a[9]) + 252*a[1]^
             5*a[2]*a[10] + 3*(a[4]*
             a[8] + a[2]*a[10]) + 
             66*a[1]^7*a[11] + a[1]*(
             42*a[2]*a[4]*a[7] + 
             56*a[2]^3*a[8] + 
             3*a[11]))) + 30*a[2]*
           (a[4]^2*a[6] + (1 + 2*a[1] + 
             7*a[1]^2)*a[6]*a[7] + 
            (1 + 42*a[1]^4)*a[4]*a[9] + 
            a[1]*(1 + 33*a[1]^7)*
             a[12]) + 15*a[1]^2*a[13] + 
          143*a[1]^10*a[13]) + 
        a[3]^6*(7*a[7]^2 + 4*a[1]*
           (14*a[6]*a[8] + 
            3*(70*a[2]^3*a[10] + 
             70*a[1]^2*a[4]*a[10] + 
             385*a[1]^2*a[2]^2*a[11] + 
             42*a[2]*(a[4]*a[9] + 
             11*a[1]^4*a[12]) + 143*a[1]^
             6*a[13]))) + 364*a[1]^3*
         a[2]^11*a[14] + 18018*a[1]^5*
         a[2]^8*a[4]*a[14] + 
        72072*a[1]^7*a[2]^5*a[4]^2*
         a[14] + 20020*a[1]^9*a[2]^2*
         a[4]^3*a[14] + 24024*a[1]^7*
         a[2]^6*a[6]*a[14] + 
        120*a[1]*a[2]^3*a[4]*a[6]*
         a[14] + 40040*a[1]^9*a[2]^3*
         a[4]*a[6]*a[14] + 24*a[1]*
         a[4]^2*a[6]*a[14] + 
        60*a[1]^3*a[4]^2*a[6]*a[14] + 
        1092*a[1]^11*a[4]^2*a[6]*a[14] + 
        120*a[1]^3*a[2]*a[6]^2*a[14] + 
        1092*a[1]^11*a[2]*a[6]^2*a[14] + 
        42*a[1]*a[2]^5*a[7]*a[14] + 
        18018*a[1]^8*a[2]^5*a[7]*a[14] + 
        12*a[2]^2*a[4]*a[7]*a[14] + 
        420*a[1]^3*a[2]^2*a[4]*a[7]*
         a[14] + 12012*a[1]^10*a[2]^2*
         a[4]*a[7]*a[14] + 30*a[1]^4*
         a[6]*a[7]*a[14] + 42*a[1]^5*
         a[6]*a[7]*a[14] + 182*a[1]^12*
         a[6]*a[7]*a[14] + 280*a[1]^3*
         a[2]^4*a[8]*a[14] + 
        10010*a[1]^9*a[2]^4*a[8]*a[14] + 
        24*a[1]*a[2]*a[4]*a[8]*a[14] + 
        336*a[1]^5*a[2]*a[4]*a[8]*
         a[14] + 2184*a[1]^11*a[2]*a[4]*
         a[8]*a[14] + 504*a[1]^5*a[2]^3*
         a[9]*a[14] + 4004*a[1]^10*
         a[2]^3*a[9]*a[14] + 
        12*a[1]^2*a[4]*a[9]*a[14] + 
        72*a[1]^7*a[4]*a[9]*a[14] + 
        182*a[1]^12*a[4]*a[9]*a[14] + 
        360*a[1]^7*a[2]^2*a[10]*a[14] + 
        1092*a[1]^11*a[2]^2*a[10]*
         a[14] + 2*a[2]*a[11]*a[14] + 
        110*a[1]^9*a[2]*a[11]*a[14] + 
        182*a[1]^12*a[2]*a[11]*a[14] + 
        12*a[1]^11*a[12]*a[14] + 
        14*a[1]^13*a[12]*a[14] + 
        3003*a[1]^5*a[2]^10*a[15] + 
        51480*a[1]^7*a[2]^7*a[4]*a[15] + 
        75075*a[1]^9*a[2]^4*a[4]^2*
         a[15] + 12*a[2]*a[4]^3*a[15] + 
        5460*a[1]^11*a[2]*a[4]^3*a[15] + 
        6*a[2]^5*a[6]*a[15] + 
        30030*a[1]^9*a[2]^5*a[6]*a[15] + 
        12*a[2]^2*a[4]*a[6]*a[15] + 
        180*a[1]^2*a[2]^2*a[4]*a[6]*
         a[15] + 16380*a[1]^11*a[2]^2*
         a[4]*a[6]*a[15] + 30*a[1]^4*
         a[6]^2*a[15] + 105*a[1]^13*
         a[6]^2*a[15] + 105*a[1]^2*
         a[2]^4*a[7]*a[15] + 
        15015*a[1]^10*a[2]^4*a[7]*
         a[15] + 24*a[1]*a[2]*a[4]*a[7]*
         a[15] + 210*a[1]^4*a[2]*a[4]*
         a[7]*a[15] + 2730*a[1]^12*a[2]*
         a[4]*a[7]*a[15] + 280*a[1]^4*
         a[2]^3*a[8]*a[15] + 
        5460*a[1]^11*a[2]^3*a[8]*a[15] + 
        12*a[1]^2*a[4]*a[8]*a[15] + 
        56*a[1]^6*a[4]*a[8]*a[15] + 
        210*a[1]^13*a[4]*a[8]*a[15] + 
        252*a[1]^6*a[2]^2*a[9]*a[15] + 
        1365*a[1]^12*a[2]^2*a[9]*a[15] + 
        2*a[2]*a[10]*a[15] + 
        90*a[1]^8*a[2]*a[10]*a[15] + 
        210*a[1]^13*a[2]*a[10]*a[15] + 
        11*a[1]^10*a[11]*a[15] + 
        15*a[1]^14*a[11]*a[15] + 
        3*a[3]^5*(56*a[1]^2*a[8]^2 + 
          14*a[1]*a[7]*a[9] + 168*a[1]^3*
           a[7]*a[9] + 28*a[4]^2*
           (2*a[2]*a[8] + 9*a[1]^2*
             a[9]) + 84*a[2]^5*a[10] + 
          2*a[6]*a[10] + 420*a[1]^4*a[6]*
           a[10] + 2310*a[1]^2*a[2]^4*
           a[11] + 9240*a[1]^4*a[2]^3*
           a[12] + 14*a[4]*(a[6]*a[7] + 
            6*(2*a[2]^3*a[9] + 30*a[1]^
             2*a[2]^2*a[10] + 55*a[1]^4*
             a[2]*a[11] + 22*a[1]^6*a[
             12])) + 28*a[2]^2*
           (2*a[6]*a[8] + 429*a[1]^6*
             a[13]) + 14*a[2]*
           ((1 + 8*a[1])*a[7]*a[8] + 
            36*a[1]^2*a[6]*a[9] + 
            429*a[1]^8*a[14]) + 
          1001*a[1]^10*a[15]) + 
        11440*a[1]^7*a[2]^9*a[16] + 
        80080*a[1]^9*a[2]^6*a[4]*a[16] + 
        43680*a[1]^11*a[2]^3*a[4]^2*
         a[16] + 12*a[1]*a[4]^3*a[16] + 
        560*a[1]^13*a[4]^3*a[16] + 
        30*a[1]*a[2]^4*a[6]*a[16] + 
        21840*a[1]^11*a[2]^4*a[6]*
         a[16] + 24*a[1]*a[2]*a[4]*a[6]*
         a[16] + 120*a[1]^3*a[2]*a[4]*
         a[6]*a[16] + 3360*a[1]^13*a[2]*
         a[4]*a[6]*a[16] + 140*a[1]^3*
         a[2]^3*a[7]*a[16] + 
        7280*a[1]^12*a[2]^3*a[7]*a[16] + 
        12*a[1]^2*a[4]*a[7]*a[16] + 
        42*a[1]^5*a[4]*a[7]*a[16] + 
        240*a[1]^14*a[4]*a[7]*a[16] + 
        168*a[1]^5*a[2]^2*a[8]*a[16] + 
        1680*a[1]^13*a[2]^2*a[8]*a[16] + 
        2*a[2]*a[9]*a[16] + 72*a[1]^7*
         a[2]*a[9]*a[16] + 240*a[1]^14*
         a[2]*a[9]*a[16] + 10*a[1]^9*
         a[10]*a[16] + 16*a[1]^15*a[10]*
         a[16] + 24310*a[1]^9*a[2]^8*
         a[17] + 74256*a[1]^11*a[2]^5*
         a[4]*a[17] + 12*a[2]^2*a[4]^2*
         a[17] + 14280*a[1]^13*a[2]^2*
         a[4]^2*a[17] + 60*a[1]^2*a[2]^3*
         a[6]*a[17] + 9520*a[1]^13*
         a[2]^3*a[6]*a[17] + 
        12*a[1]^2*a[4]*a[6]*a[17] + 
        30*a[1]^4*a[4]*a[6]*a[17] + 
        272*a[1]^15*a[4]*a[6]*a[17] + 
        105*a[1]^4*a[2]^2*a[7]*a[17] + 
        2040*a[1]^14*a[2]^2*a[7]*a[17] + 
        2*a[2]*a[8]*a[17] + 56*a[1]^6*
         a[2]*a[8]*a[17] + 272*a[1]^15*
         a[2]*a[8]*a[17] + 9*a[1]^8*a[9]*
         a[17] + 17*a[1]^16*a[9]*a[17] + 
        a[5]^2*(20*a[2]*a[6]^3 + 
          180*a[1]*a[2]*a[6]^3 + 
          21*a[3]^5*a[7] + 60*a[1]*
           a[6]^2*a[7] + 180*a[1]^2*
           a[6]^2*a[7] + 210*a[1]^3*
           a[6]^2*a[7] + 105*a[2]^4*
           a[7]^2 + 840*a[1]*a[2]^4*a[6]*
           a[8] + 420*a[1]*a[2]^3*a[7]*
           a[8] + 1680*a[1]^2*a[2]^3*
           a[7]*a[8] + 30*a[2]^2*
           a[8]^2 + 1680*a[1]^3*a[2]^2*
           a[8]^2 + 20*a[4]^3*
           (21*a[1]*a[2]*a[7] + a[8] + 
            28*a[1]^3*a[8]) + 60*a[2]^3*
           a[6]*a[9] + 5040*a[1]^3*
           a[2]^3*a[6]*a[9] + 60*a[2]^2*
           a[7]*a[9] + 630*a[1]^2*a[2]^2*
           a[7]*a[9] + 3780*a[1]^4*
           a[2]^2*a[7]*a[9] + 
          120*a[1]*a[2]*a[8]*a[9] + 
          840*a[1]^4*a[2]*a[8]*a[9] + 
          1512*a[1]^5*a[2]*a[8]*a[9] + 
          30*a[1]^2*a[9]^2 + 252*a[1]^6*
           a[9]^2 + 420*a[3]^4*
           (2*a[1]*a[2]*a[8] + 3*a[1]^3*
             a[9]) + 360*a[1]*a[2]^7*
           a[10] + 60*a[2]^2*a[6]*
           a[10] + 180*a[1]*a[2]^2*a[6]*
           a[10] + 7560*a[1]^5*a[2]^2*
           a[6]*a[10] + 120*a[1]*a[2]*
           a[7]*a[10] + 420*a[1]^3*a[2]*
           a[7]*a[10] + 2520*a[1]^6*a[2]*
           a[7]*a[10] + 60*a[1]^2*a[8]*
           a[10] + 168*a[1]^5*a[8]*
           a[10] + 360*a[1]^7*a[8]*
           a[10] + 4620*a[1]^3*a[2]^6*
           a[11] + 120*a[1]*a[2]*a[6]*
           a[11] + 180*a[1]^2*a[2]*a[6]*
           a[11] + 3960*a[1]^7*a[2]*a[6]*
           a[11] + 60*a[1]^2*a[7]*
           a[11] + 105*a[1]^4*a[7]*
           a[11] + 495*a[1]^8*a[7]*
           a[11] + 20*a[3]^3*(3*a[6]^2 + 
            28*a[2]^3*a[8] + 84*a[1]^2*
             a[4]*a[8] + 378*a[1]^2*
             a[2]^2*a[9] + 21*a[2]*
             (a[4]*a[7] + 30*a[1]^4*a[
             10]) + a[11] + 231*a[1]^6*
             a[11]) + 6*a[4]^2*
           (5*(1 + 6*a[1])*a[6]^2 + 
            2*(630*a[1]^3*a[2]^2*a[9] + 
             5*a[2]*a[10] + 630*a[1]^5*a[
             2]*a[10] + a[11] + 165*a[1]^
             7*a[11] + 5*a[1]*(28*a[2]^3*
             a[8] + a[11]))) + 
          16632*a[1]^5*a[2]^5*a[12] + 
          60*a[1]^2*a[6]*a[12] + 
          60*a[1]^3*a[6]*a[12] + 
          660*a[1]^9*a[6]*a[12] + 
          25740*a[1]^7*a[2]^4*a[13] + 
          30*a[3]^2*(a[7]^2 + 21*a[1]^2*
             a[7]^2 + 2*a[6]*a[8] + 
            2*a[4]*a[10] + 56*a[1]^3*
             (a[6]*a[8] + 9*a[2]*a[4]*a[
             9] + 15*a[2]^3*a[10]) + 
            126*a[1]^5*(2*a[4]*a[10] + 
             11*a[2]^2*a[11]) + 
            792*a[1]^7*a[2]*a[12] + 
            2*a[2]*(3*a[6]*a[7] + 
             a[12]) + 143*a[1]^9*a[13] + 
            a[1]*(21*a[4]^2*a[7] + 
             168*a[2]^2*a[4]*a[8] + 
             2*(21*a[2]*a[6]*a[7] + 
             3*a[6]*a[8] + 63*a[2]^4*
             a[9] + a[13]))) + 
          20*a[2]^3*a[14] + 20020*a[1]^9*
           a[2]^3*a[14] + 12*a[4]*
           (a[7]*a[8] + 10*a[1]*a[7]*
             a[8] + 35*a[1]^3*a[7]*
             a[8] + 70*a[1]^4*a[7]*
             a[8] + 126*a[1]*a[2]^5*
             a[9] + a[6]*a[9] + 
            10*a[1]*a[6]*a[9] + 
            15*a[1]^2*a[6]*a[9] + 
            126*a[1]^5*a[6]*a[9] + 
            1050*a[1]^3*a[2]^4*a[10] + 
            2310*a[1]^5*a[2]^3*a[11] + 
            5*a[2]^2*(3*(1 + 7*a[1])*a[
             6]*a[7] + (1 + 396*a[1]^7)*
             a[12]) + a[2]*
             (5*(1 + 21*a[1]^2)*a[7]^2 + 
             10*(1 + 3*a[1] + 28*a[1]^3)*
             a[6]*a[8] + (1 + 10*a[1] + 
             715*a[1]^9)*a[13]) + 
            a[1]*a[14] + 5*a[1]^2*
             a[14] + 91*a[1]^11*a[14]) + 
          60*a[1]*a[2]^2*a[15] + 
          8190*a[1]^11*a[2]^2*a[15] + 
          3*a[3]*(20*a[4]^3*a[6] + 
            20*a[1]*a[8]^2 + 280*a[1]^4*
             a[8]^2 + 84*a[2]^6*a[9] + 
            40*a[1]*a[7]*a[9] + 
            140*a[1]^3*a[7]*a[9] + 
            504*a[1]^5*a[7]*a[9] + 
            10*a[4]^2*(21*a[2]^2*a[7] + 
             168*a[1]^2*a[2]*a[8] + 
             2*(1 + 63*a[1]^4)*a[9]) + 
            2520*a[1]^2*a[2]^5*a[10] + 
            40*a[1]*a[6]*a[10] + 
            60*a[1]^2*a[6]*a[10] + 
            840*a[1]^6*a[6]*a[10] + 
            11550*a[1]^4*a[2]^4*a[11] + 
            140*a[2]^3*(a[6]*a[7] + 
             132*a[1]^6*a[12]) + 
            4*a[4]*(5*(2 + 6*a[1] + 
             21*a[1]^2)*a[6]*a[7] + 
             70*a[2]^4*a[8] + 1260*a[1]^
             2*a[2]^3*a[9] + 3150*a[1]^
             4*a[2]^2*a[10] + 10*a[2]*(
             3*a[6]^2 + (1 + 231*a[1]^6)*
             a[11]) + (1 + 10*a[1] + 
             495*a[1]^8)*a[12]) + 
            10*a[2]^2*(42*a[1]*a[7]^2 + 
             6*a[6]*a[8] + 168*a[1]^2*a[
             6]*a[8] + 2*a[13] + 
             1287*a[1]^8*a[13]) + 
            4*a[2]*(5*(2 + 21*a[1]^2 + 
             56*a[1]^3)*a[7]*a[8] + 
             10*(1 + 3*a[1] + 63*a[1]^4)*
             a[6]*a[9] + a[1]*(10 + 
             1001*a[1]^9)*a[14]) + 
            a[15] + 20*a[1]^2*a[15] + 
            455*a[1]^12*a[15]) + 
          60*a[1]^2*a[2]*a[16] + 
          1680*a[1]^13*a[2]*a[16] + 
          20*a[1]^3*a[17] + 136*a[1]^15*
           a[17]) + 5*a[3]^4*
         (3*(2 + 7*a[1])*a[6]^2*a[7] + 
          462*a[1]*a[2]^6*a[11] + 
          5544*a[1]^3*a[2]^5*a[12] + 
          6*a[6]*(a[4]*a[9] + 84*a[1]^3*
             (a[4]*a[9] + 5*a[2]^2*a[
             10]) + a[2]*a[11] + 
            462*a[1]^5*a[2]*a[11] + 
            132*a[1]^7*a[12] + 
            a[1]*(56*a[2]*a[4]*a[8] + 
             84*a[2]^3*a[9] + a[12])) + 
          126*a[2]^4*(10*a[1]*a[4]*
             a[10] + 143*a[1]^5*a[13]) + 
          56*a[2]^3*(a[7]*a[8] + 
            165*a[1]^3*a[4]*a[11] + 
            429*a[1]^7*a[14]) + 
          21*a[2]^2*(a[7]*a[9] + 
            36*a[1]^2*a[7]*a[9] + 
            4*a[1]*(2*a[8]^2 + 9*a[4]^2*
             a[9]) + 792*a[1]^5*a[4]*
             a[12] + 715*a[1]^9*a[15]) + 
          6*a[2]*(420*a[1]^3*a[4]^2*
             a[10] + a[4]*(7*a[7]^2 + 
             1716*a[1]^7*a[13]) + 
            7*a[1]*(4*a[1]*a[8]*a[9] + 
             12*a[1]^2*a[8]*a[9] + 
             a[7]*a[10] + 30*a[1]^3*a[7]*
             a[10] + 104*a[1]^10*a[
             16])) + 7*a[1]*
           (8*a[4]^3*a[8] + 198*a[1]^4*
             a[4]^2*a[11] + a[4]*
             (6*(1 + 4*a[1])*a[7]*a[8] + 
             286*a[1]^8*a[14]) + 
            a[1]*(18*a[1]^2*a[9]^2 + 
             8*a[1]*a[8]*a[10] + 
             36*a[1]^3*a[8]*a[10] + 
             3*a[7]*a[11] + 66*a[1]^4*a[
             7]*a[11] + 68*a[1]^11*a[
             17]))) + 31824*a[1]^11*
         a[2]^7*a[18] + 42840*a[1]^13*
         a[2]^4*a[4]*a[18] + 
        24*a[1]*a[2]*a[4]^2*a[18] + 
        2448*a[1]^15*a[2]*a[4]^2*a[18] + 
        60*a[1]^3*a[2]^2*a[6]*a[18] + 
        2448*a[1]^15*a[2]^2*a[6]*a[18] + 
        2*a[2]*a[7]*a[18] + 42*a[1]^5*
         a[2]*a[7]*a[18] + 306*a[1]^16*
         a[2]*a[7]*a[18] + 8*a[1]^7*a[8]*
         a[18] + 18*a[1]^17*a[8]*a[18] + 
        27132*a[1]^13*a[2]^6*a[19] + 
        4*a[2]^3*a[4]*a[19] + 
        15504*a[1]^15*a[2]^3*a[4]*
         a[19] + 12*a[1]^2*a[4]^2*
         a[19] + 171*a[1]^17*a[4]^2*
         a[19] + 2*a[2]*a[6]*a[19] + 
        30*a[1]^4*a[2]*a[6]*a[19] + 
        342*a[1]^17*a[2]*a[6]*a[19] + 
        7*a[1]^6*a[7]*a[19] + 
        19*a[1]^18*a[7]*a[19] + 
        a[3]^3*(35*a[4]^4*a[7] + 
          210*a[1]^2*a[7]^3 + 
          120*a[1]*a[6]*a[7]*a[8] + 
          420*a[1]^2*a[6]*a[7]*a[8] + 
          1120*a[1]^3*a[6]*a[7]*a[8] + 
          120*a[1]*a[6]^2*a[9] + 
          1260*a[1]^4*a[6]^2*a[9] + 
          840*a[1]^6*a[10]^2 + 
          280*a[4]^3*(2*a[2]^2*a[8] + 
            18*a[1]^2*a[2]*a[9] + 
            15*a[1]^4*a[10]) + 
          165*a[2]^8*a[11] + 504*a[1]^5*
           a[9]*a[11] + 1320*a[1]^7*a[9]*
           a[11] + 7920*a[1]^2*a[2]^7*
           a[12] + 280*a[1]^4*a[8]*
           a[12] + 1980*a[1]^8*a[8]*
           a[12] + 60060*a[1]^4*a[2]^6*
           a[13] + 140*a[1]^3*a[7]*
           a[13] + 2860*a[1]^9*a[7]*
           a[13] + 30*a[4]^2*
           (14*a[1]*a[7]^2 + 2*a[6]*
             a[8] + 56*a[1]^2*a[6]*
             a[8] + 42*a[2]^4*a[9] + 
            840*a[1]^2*a[2]^3*a[10] + 
            2310*a[1]^4*a[2]^2*a[11] + 
            14*a[2]*(a[6]*a[7] + 
             132*a[1]^6*a[12]) + 
            429*a[1]^8*a[13]) + 
          60*a[1]^2*a[6]*a[14] + 
          4004*a[1]^10*a[6]*a[14] + 
          168*a[2]^5*(3*a[6]*a[9] + 
            1001*a[1]^6*a[14]) + 
          35*a[2]^4*(8*a[8]^2 + 
            9*a[1]*(8*a[7]*a[9] + 
             40*a[1]*a[6]*a[10] + 
             715*a[1]^7*a[15])) + 
          140*a[2]^3*(8*a[1]*a[8]*a[9] + 
            36*a[1]^2*a[8]*a[9] + 
            a[7]*a[10] + 120*a[1]^3*a[7]*
             a[10] + 330*a[1]^4*a[6]*
             a[11] + 1144*a[1]^10*
             a[16]) + 4*a[4]*
           (15*a[6]^3 + 280*a[1]^3*a[8]*
             a[9] + 630*a[1]^4*a[8]*
             a[9] + 210*a[2]^6*a[10] + 
            105*a[1]^2*a[7]*a[10] + 
            1260*a[1]^5*a[7]*a[10] + 
            6930*a[1]^2*a[2]^5*a[11] + 
            10*a[6]*(28*a[2]^3*a[8] + 
             378*a[1]^2*a[2]^2*a[9] + 
             3*(1 + 210*a[1]^4)*a[2]*a[
             10] + 3*a[1]*(1 + 77*a[1]^
             5)*a[11]) + 34650*a[1]^4*
             a[2]^4*a[12] + 60060*a[1]^6*
             a[2]^3*a[13] + 105*a[2]^2*
             ((1 + 8*a[1])*a[7]*a[8] + 
             429*a[1]^8*a[14]) + 
            105*a[1]*a[2]*(8*a[1]*a[8]^
             2 + 2*a[7]*a[9] + 24*a[1]^
             2*a[7]*a[9] + 143*a[1]^9*a[
             15]) + a[16] + 1820*a[1]^12*
             a[16]) + 10*a[2]^2*
           (21*a[6]^2*a[7] + 
            6*(1 + 924*a[1]^6)*a[6]*
             a[12] + 14*a[1]*
             (36*a[1]^2*a[9]^2 + 
             12*a[1]*a[8]*a[10] + 
             90*a[1]^3*a[8]*a[10] + 
             3*a[7]*a[11] + 198*a[1]^4*a[
             7]*a[11] + 442*a[1]^11*a[
             17])) + 20*a[2]*
           (6*(1 + 14*a[1]^2)*a[6]^2*
             a[8] + 3*a[6]*
             ((1 + 14*a[1])*a[7]^2 + 
             a[1]*(2 + 429*a[1]^7)*a[
             13]) + a[1]^2*(126*a[1]^2*a[
             9]*a[10] + 252*a[1]^3*a[9]*
             a[10] + 56*a[1]*a[8]*a[
             11] + 462*a[1]^4*a[8]*a[
             11] + 21*a[7]*a[12] + 
             792*a[1]^5*a[7]*a[12] + 
             612*a[1]^12*a[18])) + 
          3*a[19] + 969*a[1]^16*a[19]) + 
        15504*a[1]^15*a[2]^5*a[20] + 
        12*a[1]*a[2]^2*a[4]*a[20] + 
        3420*a[1]^17*a[2]^2*a[4]*a[20] + 
        6*a[1]^5*a[6]*a[20] + 
        20*a[1]^19*a[6]*a[20] + 
        5985*a[1]^17*a[2]^4*a[21] + 
        2*a[2]*a[4]*a[21] + 12*a[1]^2*
         a[2]*a[4]*a[21] + 420*a[1]^19*
         a[2]*a[4]*a[21] + 
        a[5]*(6*a[4]^5*a[6] + 
          5*a[1]*a[6]^4 + 60*a[1]^2*
           a[6]^4 + 30*a[3]^2*a[6]^2*
           a[7] + 360*a[1]*a[3]^2*a[6]^2*
           a[7] + 630*a[1]^2*a[3]^2*
           a[6]^2*a[7] + 210*a[1]*a[3]^4*
           a[7]^2 + 20*a[1]*a[3]*
           a[7]^3 + 420*a[1]^3*a[3]*
           a[7]^3 + 30*a[3]^4*a[6]*
           a[8] + 840*a[1]^2*a[3]^4*a[6]*
           a[8] + 120*a[1]*a[3]*a[6]*
           a[7]*a[8] + 360*a[1]^2*a[3]*
           a[6]*a[7]*a[8] + 840*a[1]^3*
           a[3]*a[6]*a[7]*a[8] + 
          1680*a[1]^4*a[3]*a[6]*a[7]*
           a[8] + 10*a[3]^3*a[8]^2 + 
          1120*a[1]^3*a[3]^3*a[8]^2 + 
          30*a[1]^2*a[7]*a[8]^2 + 
          105*a[1]^4*a[7]*a[8]^2 + 
          336*a[1]^5*a[7]*a[8]^2 + 
          252*a[1]^2*a[3]^6*a[9] + 
          60*a[1]*a[3]*a[6]^2*a[9] + 
          360*a[1]^2*a[3]*a[6]^2*a[9] + 
          1512*a[1]^5*a[3]*a[6]^2*a[9] + 
          20*a[3]^3*a[7]*a[9] + 
          420*a[1]^2*a[3]^3*a[7]*a[9] + 
          2520*a[1]^4*a[3]^3*a[7]*a[9] + 
          30*a[1]^2*a[7]^2*a[9] + 
          210*a[1]^4*a[7]^2*a[9] + 
          252*a[1]^6*a[7]^2*a[9] + 
          60*a[1]^2*a[6]*a[8]*a[9] + 
          120*a[1]^3*a[6]*a[8]*a[9] + 
          336*a[1]^5*a[6]*a[8]*a[9] + 
          504*a[1]^6*a[6]*a[8]*a[9] + 
          30*a[1]*a[3]^2*a[9]^2 + 
          1512*a[1]^5*a[3]^2*a[9]^2 + 
          5*a[4]^4*(21*a[2]^2*a[7] + 
            42*a[1]*a[3]*a[7] + 
            168*a[1]^2*a[2]*a[8] + 
            a[9] + 126*a[1]^4*a[9]) + 
          20*a[3]^3*a[6]*a[10] + 
          120*a[1]*a[3]^3*a[6]*a[10] + 
          5040*a[1]^5*a[3]^3*a[6]*
           a[10] + 60*a[1]^2*a[6]*a[7]*
           a[10] + 120*a[1]^3*a[6]*a[7]*
           a[10] + 210*a[1]^4*a[6]*a[7]*
           a[10] + 720*a[1]^7*a[6]*a[7]*
           a[10] + 60*a[1]*a[3]^2*a[8]*
           a[10] + 840*a[1]^4*a[3]^2*
           a[8]*a[10] + 2520*a[1]^6*
           a[3]^2*a[8]*a[10] + 
          3*a[3]*a[10]^2 + 30*a[1]^2*
           a[3]*a[10]^2 + 720*a[1]^7*
           a[3]*a[10]^2 + 11*a[2]^10*
           a[11] + 2772*a[1]^5*a[3]^5*
           a[11] + 30*a[1]^2*a[6]^2*
           a[11] + 120*a[1]^3*a[6]^2*
           a[11] + 495*a[1]^8*a[6]^2*
           a[11] + 60*a[1]*a[3]^2*a[7]*
           a[11] + 420*a[1]^3*a[3]^2*
           a[7]*a[11] + 3960*a[1]^7*
           a[3]^2*a[7]*a[11] + 
          6*a[3]*a[9]*a[11] + 60*a[1]^2*
           a[3]*a[9]*a[11] + 504*a[1]^6*
           a[3]*a[9]*a[11] + 990*a[1]^8*
           a[3]*a[9]*a[11] + 10*a[1]^3*
           a[11]^2 + 110*a[1]^9*
           a[11]^2 + 660*a[1]^2*a[2]^9*
           a[12] + 60*a[1]*a[3]^2*a[6]*
           a[12] + 180*a[1]^2*a[3]^2*
           a[6]*a[12] + 5940*a[1]^8*
           a[3]^2*a[6]*a[12] + 
          6*a[3]*a[8]*a[12] + 60*a[1]^2*
           a[3]*a[8]*a[12] + 336*a[1]^5*
           a[3]*a[8]*a[12] + 1320*a[1]^9*
           a[3]*a[8]*a[12] + 20*a[1]^3*
           a[10]*a[12] + 90*a[1]^8*a[10]*
           a[12] + 132*a[1]^10*a[10]*
           a[12] + 4*a[4]^3*
           (5*(1 + 6*a[1] + 21*a[1]^2)*
             a[6]*a[7] + 70*a[2]^4*
             a[8] + 420*a[1]^2*a[3]^2*
             a[8] + 1260*a[1]^2*a[2]^3*
             a[9] + 5*a[3]*a[10] + 
            1260*a[1]^5*a[3]*a[10] + 
            210*a[2]^2*(4*a[1]*a[3]*a[
             8] + 15*a[1]^4*a[10]) + 
            5*a[2]*(6*a[6]^2 + 21*a[3]^
             2*a[7] + 504*a[1]^3*a[3]*a[
             9] + a[11] + 462*a[1]^6*a[
             11]) + 3*a[12] + 5*a[1]*
             a[12] + 495*a[1]^8*a[12]) + 
          5*a[3]^4*a[13] + 6435*a[1]^8*
           a[3]^4*a[13] + 6*a[3]*a[7]*
           a[13] + 60*a[1]^2*a[3]*a[7]*
           a[13] + 210*a[1]^4*a[3]*a[7]*
           a[13] + 1716*a[1]^10*a[3]*
           a[7]*a[13] + 20*a[1]^3*a[9]*
           a[13] + 72*a[1]^7*a[9]*
           a[13] + 156*a[1]^11*a[9]*
           a[13] + 495*a[2]^8*
           (2*a[1]*a[3]*a[11] + 
            13*a[1]^4*a[13]) + 
          6*a[3]*a[6]*a[14] + 60*a[1]^2*
           a[3]*a[6]*a[14] + 120*a[1]^3*
           a[3]*a[6]*a[14] + 
          2184*a[1]^11*a[3]*a[6]*a[14] + 
          20*a[1]^3*a[8]*a[14] + 
          56*a[1]^6*a[8]*a[14] + 
          182*a[1]^12*a[8]*a[14] + 
          24*a[2]^7*(3*a[6]*a[9] + 
            15*a[3]^2*a[10] + 660*a[1]^3*
             a[3]*a[12] + 1001*a[1]^6*
             a[14]) + 20*a[1]*a[3]^3*
           a[15] + 5460*a[1]^11*a[3]^3*
           a[15] + 20*a[1]^3*a[7]*
           a[15] + 42*a[1]^5*a[7]*
           a[15] + 210*a[1]^13*a[7]*
           a[15] + 3*a[4]^2*
           (35*a[3]^4*a[7] + 4*a[8]^2 + 
            10*a[1]*a[8]^2 + 280*a[1]^4*
             a[8]^2 + 84*a[2]^6*a[9] + 
            8*a[7]*a[9] + 20*a[1]*a[7]*
             a[9] + 140*a[1]^3*a[7]*
             a[9] + 504*a[1]^5*a[7]*
             a[9] + 560*a[3]^3*
             (2*a[1]*a[2]*a[8] + 
             3*a[1]^3*a[9]) + 
            2520*a[1]^2*a[2]^5*a[10] + 
            8*a[6]*a[10] + 20*a[1]*a[6]*
             a[10] + 60*a[1]^2*a[6]*
             a[10] + 840*a[1]^6*a[6]*
             a[10] + 11550*a[1]^4*a[2]^4*
             a[11] + 10*a[3]^2*
             (6*a[6]^2 + 56*a[2]^3*a[
             8] + 756*a[1]^2*a[2]^2*a[
             9] + 1260*a[1]^4*a[2]*a[
             10] + (1 + 462*a[1]^6)*a[
             11]) + 140*a[2]^3*
             (a[6]*a[7] + 132*a[1]^6*a[
             12]) + 10*a[2]^2*
             (42*a[1]*a[7]^2 + 6*a[6]*a[
             8] + 168*a[1]^2*a[6]*a[8] + 
             a[13] + 1287*a[1]^8*a[
             13]) + 2*a[3]*
             (5*(1 + 42*a[1]^2)*a[7]^2 + 
             1260*a[1]*a[2]^4*a[9] + 
             8400*a[1]^3*a[2]^3*a[10] + 
             13860*a[1]^5*a[2]^2*a[11] + 
             10*a[2]*(6*(1 + 7*a[1])*
             a[6]*a[7] + (1 + 792*a[1]^
             7)*a[12]) + 2*(5*(1 + 
             6*a[1] + 56*a[1]^3)*a[6]*
             a[8] + (2 + 5*a[1] + 715*
             a[1]^9)*a[13])) + 
            4*a[2]*(5*(1 + 21*a[1]^2 + 
             56*a[1]^3)*a[7]*a[8] + 
             5*(1 + 6*a[1] + 126*a[1]^4)*
             a[6]*a[9] + (2 + 5*a[1] + 
             1001*a[1]^10)*a[14]) + 
            8*a[1]*a[15] + 10*a[1]^2*
             a[15] + 455*a[1]^12*
             a[15]) + 7*a[2]^6*
           (8*a[8]^2 + 9*a[1]*
             (8*a[7]*a[9] + a[1]*(
             40*a[6]*a[10] + 220*a[3]^2*
             a[11] + 1144*a[1]^3*a[3]*
             a[13] + 715*a[1]^6*
             a[15]))) + 20*a[1]^3*a[6]*
           a[16] + 30*a[1]^4*a[6]*
           a[16] + 240*a[1]^14*a[6]*
           a[16] + 42*a[2]^5*
           (8*a[1]*a[8]*a[9] + 36*a[1]^2*
             a[8]*a[9] + 120*a[1]*a[3]^3*
             a[10] + a[7]*a[10] + 
            120*a[1]^3*a[7]*a[10] + 
            330*a[1]^4*a[6]*a[11] + 
            1980*a[1]^4*a[3]^2*a[12] + 
            8*a[3]*(a[7]*a[8] + 9*a[1]*a[
             6]*a[9] + 429*a[1]^7*a[
             14]) + 1144*a[1]^10*
             a[16]) + 6*a[3]^2*a[17] + 
          30*a[1]^2*a[3]^2*a[17] + 
          2040*a[1]^14*a[3]^2*a[17] + 
          5*a[2]^4*(21*a[6]^2*a[7] + 
            126*a[3]^4*a[9] + 42*a[3]*
             a[7]*a[9] + 1260*a[1]^4*
             a[8]*a[10] + 168*a[1]^2*
             (9*a[3]*a[7]*a[9] + 
             a[8]*a[10]) + 2772*a[1]^5*
             a[7]*a[11] + 168*a[1]^3*
             (3*a[9]^2 + 55*a[3]^3*a[
             11]) + 42*a[1]*(8*a[3]*a[8]^
             2 + a[7]*a[11]) + 
            6*a[6]*(28*a[3]^2*a[8] + 
             840*a[1]^3*a[3]*a[10] + 
             (1 + 924*a[1]^6)*a[12]) + 
            36036*a[1]^6*a[3]^2*a[13] + 
            30030*a[1]^9*a[3]*a[15] + 
            a[17] + 6188*a[1]^12*
             a[17]) + 20*a[2]^3*
           (6*(1 + 14*a[1]^2)*a[6]^2*
             a[8] + 630*a[1]^2*a[3]^4*
             a[10] + a[9]*a[10] + 
            126*a[1]^4*a[9]*a[10] + 
            252*a[1]^5*a[9]*a[10] + 
            a[8]*a[11] + 56*a[1]^3*a[8]*
             a[11] + 462*a[1]^6*a[8]*
             a[11] + 5544*a[1]^5*a[3]^3*
             a[12] + a[7]*a[12] + 
            21*a[1]^2*a[7]*a[12] + 
            792*a[1]^7*a[7]*a[12] + 
            a[6]*((3 + 42*a[1])*a[7]^2 + 
             756*a[1]^2*a[3]^2*a[9] + 
             6*a[3]*a[11] + 2772*a[1]^5*
             a[3]*a[11] + a[13] + 
             6*a[1]*a[13] + 1287*a[1]^8*
             a[13]) + 21*a[3]^2*
             ((1 + 8*a[1])*a[7]*a[8] + 
             429*a[1]^8*a[14]) + 
            a[3]*(168*a[1]^2*a[8]*a[9] + 
             504*a[1]^3*a[8]*a[9] + 
             42*a[1]*a[7]*a[10] + 
             1260*a[1]^4*a[7]*a[10] + 
             a[16] + 4368*a[1]^11*a[
             16]) + a[1]*a[18] + 
            612*a[1]^14*a[18]) + 
          2*a[4]*(6*a[6]*a[7]^2 + 
            30*a[1]*a[6]*a[7]^2 + 
            90*a[1]^2*a[6]*a[7]^2 + 
            420*a[1]^3*a[6]*a[7]^2 + 
            168*a[1]*a[3]^5*a[8] + 
            6*a[6]^2*a[8] + 30*a[1]*
             a[6]^2*a[8] + 180*a[1]^2*
             a[6]^2*a[8] + 420*a[1]^4*
             a[6]^2*a[8] + 45*a[2]^8*
             a[10] + 3150*a[1]^4*a[3]^4*
             a[10] + 12*a[1]*a[9]*
             a[10] + 30*a[1]^2*a[9]*
             a[10] + 252*a[1]^6*a[9]*
             a[10] + 360*a[1]^7*a[9]*
             a[10] + 1980*a[1]^2*a[2]^7*
             a[11] + 12*a[1]*a[8]*
             a[11] + 30*a[1]^2*a[8]*
             a[11] + 168*a[1]^5*a[8]*
             a[11] + 495*a[1]^8*a[8]*
             a[11] + 12*a[1]*a[7]*
             a[12] + 30*a[1]^2*a[7]*
             a[12] + 105*a[1]^4*a[7]*
             a[12] + 660*a[1]^9*a[7]*
             a[12] + 1260*a[2]^6*
             (2*a[1]*a[3]*a[10] + 
             11*a[1]^4*a[12]) + 
            10*a[3]^3*(6*(1 + 7*a[1])*a[
             6]*a[7] + (1 + 792*a[1]^7)*
             a[12]) + 12*a[1]*a[6]*
             a[13] + 30*a[1]^2*a[6]*
             a[13] + 60*a[1]^3*a[6]*
             a[13] + 858*a[1]^10*a[6]*
             a[13] + 84*a[2]^5*
             (2*a[6]*a[8] + 9*a[3]^2*a[
             9] + 330*a[1]^3*a[3]*a[
             11] + 429*a[1]^6*a[13]) + 
            6*a[3]^2*(5*(1 + 21*a[1]^2 + 
             56*a[1]^3)*a[7]*a[8] + 
             5*(1 + 6*a[1] + 126*a[1]^4)*
             a[6]*a[9] + (1 + 5*a[1] + 
             1001*a[1]^10)*a[14]) + 
            105*a[2]^4*((1 + 8*a[1])*a[
             7]*a[8] + 3*a[1]^2*(12*a[6]*
             a[9] + 60*a[3]^2*a[10] + 
             264*a[1]^3*a[3]*a[12] + 
             143*a[1]^6*a[14])) + 
            10*a[2]^3*(168*a[1]^2*a[8]^
             2 + 504*a[1]*a[3]^3*a[9] + 
             42*a[1]*a[7]*a[9] + 
             504*a[1]^3*a[7]*a[9] + 
             6*a[6]*a[10] + 1260*a[1]^4*
             a[6]*a[10] + 6930*a[1]^4*
             a[3]^2*a[11] + 6*a[3]*(
             7*a[7]^2 + 56*a[1]*a[6]*
             a[8] + 1716*a[1]^7*a[13]) + 
             a[15] + 3003*a[1]^10*a[
             15]) + 6*a[2]^2*
             (15*a[6]^3 + 70*a[3]^4*a[
             8] + 5*a[8]*a[9] + 280*a[1]^
             3*a[8]*a[9] + 630*a[1]^4*a[
             8]*a[9] + 4200*a[1]^3*a[3]^
             3*a[10] + 5*a[7]*a[10] + 
             105*a[1]^2*a[7]*a[10] + 
             1260*a[1]^5*a[7]*a[10] + 
             5*a[6]*(21*a[3]^2*a[7] + 
             6*(1 + 84*a[1]^3)*a[3]*
             a[9] + (1 + 6*a[1] + 462*
             a[1]^6)*a[11]) + 13860*a[1]^
             6*a[3]^2*a[12] + 5*a[3]*(
             42*a[1]*a[7]*a[8] + 168*
             a[1]^2*a[7]*a[8] + a[14] + 
             2002*a[1]^9*a[14]) + 
             a[16] + 5*a[1]*a[16] + 
             1820*a[1]^12*a[16]) + 
            a[3]*(10*(1 + 18*a[1])*a[6]^
             3 + 12*(1 + 5*a[1] + 
             15*a[1]^2 + 330*a[1]^7)*a[
             6]*a[11] + 3*(4*(1 + 
             5*a[1] + 70*a[1]^4 + 126*
             a[1]^5)*a[8]*a[9] + 
             4*(1 + 5*a[1] + 35*a[1]^3 + 
             210*a[1]^6)*a[7]*a[10] + 
             (1 + 4*a[1] + 10*a[1]^2 + 
             560*a[1]^13)*a[16])) + 
            6*a[2]*(5*(1 + 12*a[1] + 
             21*a[1]^2)*a[6]^2*a[7] + 
             5*a[3]*a[8]^2 + 10*a[3]*a[
             7]*a[9] + a[9]^2 + 2*a[8]*a[
             10] + 420*a[1]^6*a[8]*a[
             10] + 140*a[1]^4*(9*a[3]*
             a[7]*a[9] + a[8]*a[10]) + 
             2*a[7]*a[11] + 660*a[1]^7*a[
             7]*a[11] + 84*a[1]^5*(
             3*a[9]^2 + 55*a[3]^3*
             a[11]) + 70*a[1]^3*(8*a[3]*
             a[8]^2 + a[7]*a[11]) + 
             2*a[6]*(15*(1 + 28*a[1]^2)*
             a[3]^2*a[8] + 5*(1 + 
             6*a[1] + 252*a[1]^5)*a[3]*
             a[10] + (1 + 5*a[1] + 
             15*a[1]^2 + 495*a[1]^8)*
             a[12]) + 5*a[3]^2*a[13] + 
             6435*a[1]^8*a[3]^2*a[13] + 
             2*a[3]*a[15] + 2730*a[1]^11*
             a[3]*a[15] + 340*a[1]^14*a[
             17] + 5*a[1]^2*(126*a[3]^4*
             a[9] + 42*a[3]*a[7]*a[9] + 
             a[17]) + a[1]*(210*a[3]^2*
             a[7]^2 + 5*a[9]^2 + 10*a[3]*
             a[15] + 2*(5*a[8]*a[10] + 
             5*a[7]*a[11] + a[17]))) + 
            6*a[1]^2*a[18] + 10*a[1]^3*
             a[18] + 153*a[1]^16*
             a[18]) + 6*a[1]*a[3]*
           a[19] + 20*a[1]^3*a[3]*
           a[19] + 342*a[1]^17*a[3]*
           a[19] + a[2]^2*
           (10*(1 + 63*a[1]^2)*a[7]^3 + 
            1512*a[1]*a[3]^5*a[9] + 
            34650*a[1]^4*a[3]^4*a[11] + 
            60*a[3]^3*(7*a[7]^2 + 
             56*a[1]*a[6]*a[8] + 
             1716*a[1]^7*a[13]) + 
            60*a[7]*((1 + 6*a[1] + 
             21*a[1]^2 + 56*a[1]^3)*a[6]*
             a[8] + a[1]*(1 + 7*a[1]^2 + 
             143*a[1]^8)*a[13]) + 
            30*a[3]^2*(168*a[1]^2*a[8]^
             2 + 42*a[1]*a[7]*a[9] + 
             504*a[1]^3*a[7]*a[9] + 
             6*a[6]*a[10] + 1260*a[1]^4*
             a[6]*a[10] + a[15] + 
             3003*a[1]^10*a[15]) + 
            30*a[3]*(6*(2 + 7*a[1])*a[6]^
             2*a[7] + (1 + 252*a[1]^4)*
             a[9]^2 + 2*(1 + 6*a[1] + 
             792*a[1]^7)*a[6]*a[12] + 
             2*((1 + 56*a[1]^3 + 252*
             a[1]^5)*a[8]*a[10] + 
             (1 + 21*a[1]^2 + 462*a[1]^
             6)*a[7]*a[11] + a[1]*(1 + 
             476*a[1]^12)*a[17])) + 
            3*(10*(1 + 12*a[1] + 126*
             a[1]^4)*a[6]^2*a[9] + 
             4*a[1]*(5 + 15*a[1] + 
             1001*a[1]^9)*a[6]*a[14] + 
             a[1]*(10*(1 + 84*a[1]^5)*
             a[10]^2 + 4*(5 + 126*a[1]^
             4 + 330*a[1]^6)*a[9]*
             a[11] + 20*a[8]*a[12] + 
             280*a[1]^3*a[8]*a[12] + 
             1980*a[1]^7*a[8]*a[12] + 
             10*a[1]*a[19] + 969*a[1]^15*
             a[19]))) + 2*a[2]*
           (28*a[3]^6*a[8] + 2520*a[1]^3*
             a[3]^5*a[10] + 30*a[1]*
             (a[7]^2*a[8] + 2*a[6]*a[7]*
             a[9] + a[6]*(a[8]^2 + 
             a[6]*a[10])) + 360*a[1]^7*
             a[10]*a[11] + 495*a[1]^8*
             a[10]*a[11] + 660*a[1]^9*
             a[9]*a[12] + 105*a[3]^4*
             (a[6]*a[7] + 132*a[1]^6*a[
             12]) + 252*a[1]^6*
             (5*a[6]^2*a[10] + a[9]*a[
             12]) + 858*a[1]^10*a[8]*
             a[13] + 168*a[1]^5*
             (9*a[6]*a[7]*a[9] + 
             a[8]*a[13]) + 1092*a[1]^11*
             a[7]*a[14] + 10*a[3]^3*
             (42*a[1]*a[7]*a[8] + 
             168*a[1]^2*a[7]*a[8] + 
             6*a[6]*a[9] + 504*a[1]^3*a[
             6]*a[9] + a[14] + 2002*a[1]^
             9*a[14]) + 105*a[1]^4*
             (4*a[7]^2*a[8] + 8*a[6]*
             a[8]^2 + a[7]*a[14]) + 
            1365*a[1]^12*a[6]*a[15] + 
            30*a[1]^2*(6*a[6]^2*a[10] + 
             a[10]*a[11] + a[9]*a[12] + 
             a[8]*a[13] + a[7]*a[14] + 
             a[6]*(3*a[8]^2 + 6*a[7]*
             a[9] + a[15])) + 30*a[3]^2*
             (3*a[6]^3 + (1 + 56*a[1]^
             3 + 126*a[1]^4)*a[8]*a[9] + 
             a[7]*a[10] + 21*a[1]^2*a[7]*
             a[10] + 252*a[1]^5*a[7]*a[
             10] + (1 + 6*a[1] + 462*
             a[1]^6)*a[6]*a[11] + 
             a[1]*a[16] + 364*a[1]^12*a[
             16]) + 3*a[3]*(10*(1 + 
             12*a[1] + 56*a[1]^3)*a[6]^
             2*a[8] + 504*a[1]^5*a[9]*a[
             10] + 840*a[1]^6*a[9]*a[
             10] + 280*a[1]^4*a[8]*a[
             11] + 1320*a[1]^7*a[8]*a[
             11] + 140*a[1]^3*a[7]*a[
             12] + 1980*a[1]^8*a[7]*a[
             12] + 20*a[1]*(a[9]*a[10] + 
             a[8]*a[11] + a[7]*a[12]) + 
             10*a[6]*((1 + 6*a[1] + 
             42*a[1]^2)*a[7]^2 + 2*a[1]*
             (1 + 3*a[1] + 143*a[1]^8)*
             a[13]) + a[18] + 10*a[1]^2*
             a[18] + 816*a[1]^15*a[
             18]) + a[20] + 190*a[1]^18*
             a[20] + 10*a[1]^3*
             (42*a[7]^2*a[8] + 42*a[6]*a[
             7]*a[9] + 6*a[6]*a[15] + 
             a[20])) + 5*a[1]^4*a[21] + 
          21*a[1]^20*a[21]) + 
        3*a[3]^2*(20*a[4]^3*a[6]*a[7] + 
          120*a[2]*a[4]*a[6]^2*a[7] + 
          210*a[2]^2*a[4]^2*a[7]^2 + 
          140*a[2]^3*a[6]*a[7]^2 + 
          280*a[2]^4*a[4]*a[7]*a[8] + 
          60*a[2]^2*a[6]*a[7]*a[8] + 
          60*a[2]*a[4]^2*a[6]*a[9] + 
          60*a[2]^2*a[6]^2*a[9] + 
          84*a[2]^6*a[7]*a[9] + 
          140*a[2]^3*a[4]*a[7]*a[9] + 
          56*a[2]^5*a[8]*a[9] + 
          4*a[4]*a[9]*a[10] + 60*a[2]^2*
           a[4]*a[6]*a[11] + 35*a[2]^4*
           a[7]*a[11] + 4*a[4]*a[8]*
           a[11] + a[11]^2 + 4*a[4]*a[7]*
           a[12] + 2*a[10]*a[12] + 
          20*a[2]^3*a[6]*a[13] + 
          4*a[4]*a[6]*a[13] + 
          2*a[9]*a[13] + 165*a[1]^8*
           (a[11]^2 + 12*a[4]*a[7]*
             a[12] + 12*a[2]*a[9]*
             a[12] + 78*a[2]^2*a[7]*
             a[13]) + 84*a[1]^6*
           (10*a[6]*a[7]*a[10] + 
            55*a[2]^2*a[9]*a[11] + 
            10*a[2]*a[10]*a[11] + 
            10*a[4]*(a[9]*a[10] + 
             11*a[2]*a[7]*a[11]) + 
            220*a[2]^3*a[7]*a[12] + 
            a[9]*a[13]) + 2*a[8]*a[14] + 
          286*a[1]^10*(a[9]*a[13] + 
            14*a[2]*a[7]*a[14]) + 
          28*a[1]^5*(9*a[7]^2*a[9] + 
            2*(45*a[2]*a[6]^2*a[10] + 
             9*a[4]*a[9]*a[10] + 
             45*a[2]^2*a[10]^2 + 
             9*a[6]*(a[8]*a[9] + 
             5*a[4]^2*a[10] + 55*a[2]^2*
             a[4]*a[11] + 55*a[2]^4*
             a[12]) + 165*a[2]^3*(
             a[8]*a[11] + 6*a[4]^2*
             a[12]) + 3*a[2]*(30*a[4]*
             a[8]*a[10] + 55*a[4]^3*
             a[11] + 3*a[9]*a[12]) + 
             1287*a[2]^5*a[4]*a[13] + 
             429*a[2]^7*a[14] + a[8]*a[
             14])) + 4*a[4]^2*a[15] + 
          2*a[7]*a[15] + 455*a[1]^12*
           a[7]*a[15] + 60*a[1]^7*
           (11*a[6]^2*a[11] + 22*a[2]*
             a[10]*a[11] + 44*a[4]^3*
             a[12] + 132*a[2]^2*a[8]*
             a[12] + 2*a[10]*a[12] + 
            858*a[2]^2*a[4]^2*a[13] + 
            44*a[6]*(6*a[2]*a[4]*a[12] + 
             13*a[2]^3*a[13]) + 
            22*a[4]*(a[8]*a[11] + 
             91*a[2]^4*a[14]) + 
            1001*a[2]^6*a[15]) + 
          35*a[1]^4*(4*(2*a[6]*a[8]*a[
             9] + 30*a[2]^3*a[9]*a[10] + 
             2*a[4]*a[8]*a[11] + 
             9*a[2]^2*a[9]*a[11] + 
             2*a[2]*(9*a[4]*a[9]^2 + 
             a[8]*a[13])) + a[7]*
             (8*a[8]^2 + 36*a[4]^2*a[
             9] + 72*a[2]*a[6]*a[9] + 
             360*a[2]^2*a[4]*a[10] + 
             330*a[2]^4*a[11] + 
             a[15])) + 10*a[1]^2*
           (126*a[2]^4*a[9]^2 + 
            21*a[4]^2*a[7]*(8*a[2]*a[
             8] + a[9]) + 252*a[2]^5*
             a[7]*a[10] + 56*a[2]^3*a[8]*
             a[11] + 6*a[6]*(a[8]*a[9] + 
             a[7]*a[10] + a[6]*a[11]) + 
            21*a[2]^2*a[7]*(8*a[6]*a[
             8] + a[13]) + 6*a[4]*
             (7*a[2]*(12*a[2]^2*a[7]*
             a[9] + 4*a[2]*a[8]*a[9] + 
             a[7]*a[11]) + a[6]*(
             7*a[7]^2 + a[13])) + 
            6*a[2]*(7*a[7]^2*a[8] + 
             7*a[6]*a[7]*a[9] + a[6]*a[
             15])) + 2*a[6]*a[16] + 
          10*a[1]^3*(7*a[7]*a[8]^2 + 
            42*a[4]^4*a[9] + 14*a[7]^2*
             a[9] + 840*a[2]^2*a[4]^3*
             a[10] + 14*a[6]*a[7]*
             a[10] + 420*a[2]^4*a[8]*
             a[10] + 168*a[2]^3*a[9]*
             a[10] + 924*a[2]^5*a[6]*
             a[11] + 14*a[4]^2*
             (4*a[8]^2 + 36*a[2]*a[6]*a[
             9] + 165*a[2]^4*a[11]) + 
            14*a[4]*(4*a[6]^2*a[8] + 
             36*a[2]^2*a[8]*a[9] + 
             120*a[2]^3*a[6]*a[10] + 
             8*a[2]*a[8]*a[10] + 
             132*a[2]^6*a[12] + a[7]*a[
             12]) + 28*a[2]^2*
             (9*a[6]^2*a[9] + 2*a[8]*a[
             12]) + 429*a[2]^8*a[13] + 
            14*a[2]*(4*a[7]^2*a[8] + 
             8*a[6]*a[8]^2 + a[7]*a[
             14]) + 2*a[6]*a[16]) + 
          220*a[1]^9*(a[10]*a[12] + 
            13*(7*a[2]*a[4]^2*a[14] + 
             a[4]*(a[6]*a[13] + 
             35*a[2]^3*a[15]) + 
             a[2]*(a[8]*a[13] + 7*a[2]*
             a[6]*a[14] + 28*a[2]^4*
             a[16]))) + 4*a[2]*a[4]*
           a[17] + 182*a[1]^11*
           (2*a[8]*a[14] + 
            5*(3*a[4]^2*a[15] + 6*a[2]*a[
             6]*a[15] + 48*a[2]^2*a[4]*a[
             16] + 68*a[2]^4*a[17])) + 
          2*a[4]*a[18] + 560*a[1]^13*
           (a[6]*a[16] + 17*a[2]*a[4]*
             a[17] + 51*a[2]^3*a[18]) + 
          408*a[1]^15*(2*a[4]*a[18] + 
            19*a[2]^2*a[19]) + 
          2*a[2]*a[20] + 1140*a[1]^17*
           a[2]*a[20] + 70*a[1]^19*
           a[21] + 2*a[1]*(10*a[6]^4 + 
            70*a[2]*a[4]^2*(2*a[4]^2 + 
             3*a[7])*a[8] + 140*a[2]^4*
             a[8]*a[10] + 252*a[2]^5*
             (a[8]*a[9] + 5*a[4]^2*a[
             10]) + 105*a[2]^2*(a[7]^3 + 
             2*a[4]*a[7]*a[10]) + 
            10*a[6]^2*(28*a[2]^3*a[8] + 
             6*a[4]*a[8] + 3*a[2]*(
             7*a[4]*a[7] + 2*a[10])) + 
            660*a[2]^7*a[4]*a[11] + 
            110*a[2]^9*a[12] + 70*a[2]^3*
             (8*a[4]*a[8]^2 + 12*a[4]^3*
             a[9] + a[7]*a[12]) + 
            10*a[6]*(7*a[4]^3*a[7] + 
             3*a[4]^2*(28*a[2]^2*a[8] + 
             a[10]) + 3*a[4]*(a[7]^2 + 
             42*a[2]^4*a[9] + 2*a[2]*
             a[12]) + 3*a[2]*(a[8]^2 + 
             2*a[7]*a[9] + 14*a[2]^5*
             a[10] + a[2]*(7*a[7]*a[8] + 
             a[14]))) + 2*a[4]*a[18] + 
            a[21])) + 1540*a[1]^19*
         a[2]^3*a[22] + 4*a[1]^3*a[4]*
         a[22] + 22*a[1]^21*a[4]*a[22] + 
        2*a[2]^2*a[23] + 253*a[1]^21*
         a[2]^2*a[23] + a[3]*
         (180*a[1]^2*a[6]^2*a[7]^2 + 
          420*a[1]^3*a[6]^2*a[7]^2 + 
          180*a[1]^2*a[6]^3*a[8] + 
          280*a[1]^4*a[6]^3*a[8] + 
          42*a[4]^5*(a[2]*a[7] + 
            4*a[1]^2*a[8]) + 3*a[8]^2*
           a[9] + 336*a[1]^5*a[8]^2*
           a[9] + 252*a[1]^6*a[8]^2*
           a[9] + 3*a[7]*a[9]^2 + 
          105*a[1]^4*a[7]*a[9]^2 + 
          504*a[1]^6*a[7]*a[9]^2 + 
          6*a[7]*a[8]*a[10] + 210*a[1]^4*
           a[7]*a[8]*a[10] + 336*a[1]^5*
           a[7]*a[8]*a[10] + 720*a[1]^7*
           a[7]*a[8]*a[10] + 6*a[6]*a[9]*
           a[10] + 120*a[1]^3*a[6]*a[9]*
           a[10] + 504*a[1]^6*a[6]*a[9]*
           a[10] + 720*a[1]^7*a[6]*a[9]*
           a[10] + 3*a[7]^2*a[11] + 
          210*a[1]^4*a[7]^2*a[11] + 
          495*a[1]^8*a[7]^2*a[11] + 
          6*a[6]*a[8]*a[11] + 120*a[1]^3*
           a[6]*a[8]*a[11] + 336*a[1]^5*
           a[6]*a[8]*a[11] + 990*a[1]^8*
           a[6]*a[8]*a[11] + 10*a[4]^4*
           (3*a[6]^2 + 7*(4*a[2]^3*a[
             8] + 54*a[1]^2*a[2]^2*a[
             9] + 90*a[1]^4*a[2]*a[10] + 
             33*a[1]^6*a[11])) + 
          12*a[2]^11*a[12] + 6*a[6]*a[7]*
           a[12] + 120*a[1]^3*a[6]*a[7]*
           a[12] + 210*a[1]^4*a[6]*a[7]*
           a[12] + 1320*a[1]^9*a[6]*a[7]*
           a[12] + 3*a[1]*a[12]^2 + 
          132*a[1]^10*a[12]^2 + 
          858*a[1]^2*a[2]^10*a[13] + 
          3*a[6]^2*a[13] + 120*a[1]^3*
           a[6]^2*a[13] + 858*a[1]^10*
           a[6]^2*a[13] + 6*a[1]*a[11]*
           a[13] + 110*a[1]^9*a[11]*
           a[13] + 156*a[1]^11*a[11]*
           a[13] + 10010*a[1]^4*a[2]^9*
           a[14] + 6*a[1]*a[10]*a[14] + 
          90*a[1]^8*a[10]*a[14] + 
          182*a[1]^12*a[10]*a[14] + 
          4*a[4]^3*(105*a[1]^2*a[7]*
             a[8] + 280*a[1]^3*a[7]*
             a[8] + 126*a[2]^5*a[9] + 
            30*a[1]*a[6]*a[9] + 
            630*a[1]^4*a[6]*a[9] + 
            3150*a[1]^2*a[2]^4*a[10] + 
            11550*a[1]^4*a[2]^3*a[11] + 
            105*a[2]^2*(a[6]*a[7] + 
             132*a[1]^6*a[12]) + 
            15*a[2]*(14*a[1]*a[7]^2 + 
             2*a[6]*a[8] + 56*a[1]^2*a[
             6]*a[8] + 429*a[1]^8*a[
             13]) + 3*a[14] + 
            1001*a[1]^10*a[14]) + 
          6*a[1]*a[9]*a[15] + 72*a[1]^7*
           a[9]*a[15] + 210*a[1]^13*a[9]*
           a[15] + 45*a[2]^8*
           (2*a[6]*a[10] + 1001*a[1]^6*
             a[15]) + 6*a[1]*a[8]*
           a[16] + 56*a[1]^6*a[8]*
           a[16] + 240*a[1]^14*a[8]*
           a[16] + 72*a[2]^7*
           (a[8]*a[9] + 5*a[1]*
             (2*a[7]*a[10] + 11*a[1]*a[
             6]*a[11] + 286*a[1]^7*a[
             16])) + 6*a[1]*a[7]*a[17] + 
          42*a[1]^5*a[7]*a[17] + 
          272*a[1]^15*a[7]*a[17] + 
          56*a[2]^6*(9*a[1]*a[9]^2 + 
            a[8]*a[10] + 45*a[1]^2*a[8]*
             a[10] + 165*a[1]^3*a[7]*
             a[11] + 495*a[1]^4*a[6]*
             a[12] + 2431*a[1]^10*
             a[17]) + 3*a[4]^2*
           (4*a[9]^2 + 504*a[1]^5*
             a[9]^2 + 120*a[2]^7*a[10] + 
            8*a[8]*a[10] + 280*a[1]^4*
             a[8]*a[10] + 840*a[1]^6*
             a[8]*a[10] + 4620*a[1]^2*
             a[2]^6*a[11] + 8*a[7]*
             a[11] + 140*a[1]^3*a[7]*
             a[11] + 1320*a[1]^7*a[7]*
             a[11] + 27720*a[1]^4*a[2]^5*
             a[12] + 8*a[6]*a[12] + 
            1980*a[1]^8*a[6]*a[12] + 
            30*a[1]^2*a[6]*(7*a[6]*a[
             7] + 2*a[12]) + 140*a[2]^4*
             (2*a[6]*a[8] + 429*a[1]^6*a[
             13]) + 140*a[2]^3*
             ((1 + 8*a[1])*a[7]*a[8] + 
             36*a[1]^2*a[6]*a[9] + 
             429*a[1]^8*a[14]) + 
            30*a[2]^2*(56*a[1]^2*a[8]^
             2 + 14*a[1]*a[7]*a[9] + 
             168*a[1]^3*a[7]*a[9] + 
             2*a[6]*a[10] + 420*a[1]^4*a[
             6]*a[10] + 1001*a[1]^10*a[
             15]) + 4*a[2]*(15*a[6]^3 + 
             280*a[1]^3*a[8]*a[9] + 
             630*a[1]^4*a[8]*a[9] + 
             105*a[1]^2*a[7]*a[10] + 
             1260*a[1]^5*a[7]*a[10] + 
             30*a[1]*(1 + 77*a[1]^5)*a[
             6]*a[11] + 2*a[16] + 
             1820*a[1]^12*a[16]) + 
            a[17] + 680*a[1]^14*a[17] + 
            8*a[1]*(15*a[6]^2*a[7] + 
             a[17])) + 6*a[1]*a[6]*
           a[18] + 30*a[1]^4*a[6]*
           a[18] + 306*a[1]^16*a[6]*
           a[18] + 42*a[2]^5*
           (4*a[6]^2*a[8] + 36*a[1]^2*
             a[9]*a[10] + 120*a[1]^3*
             a[9]*a[10] + 8*a[1]*a[8]*
             a[11] + 330*a[1]^4*a[8]*
             a[11] + a[7]*a[12] + 
            792*a[1]^5*a[7]*a[12] + 
            1716*a[1]^6*a[6]*a[13] + 
            2652*a[1]^12*a[18]) + 
          15*a[2]^4*(7*a[7]^3 + 
            2*a[7]*(7*(1 + 8*a[1])*a[6]*
             a[8] + a[1]*(7 + 1716*
             a[1]^6)*a[13]) + 
            2*(210*a[1]^4*a[10]^2 + 
             84*a[1]^3*a[9]*a[11] + 
             462*a[1]^5*a[9]*a[11] + 
             924*a[1]^6*a[8]*a[12] + 
             14*a[1]^2*(9*a[6]^2*a[9] + 
             2*a[8]*a[12]) + a[6]*a[
             14] + 3003*a[1]^8*a[6]*a[
             14] + 1938*a[1]^14*a[
             19])) + 20*a[2]^3*
           (3*a[6]*(a[8]^2 + 2*a[7]*a[
             9] + 2*a[6]*a[10]) + 
            252*a[1]^5*a[10]*a[11] + 
            462*a[1]^6*a[10]*a[11] + 
            792*a[1]^7*a[9]*a[12] + 
            126*a[1]^4*(5*a[6]^2*a[10] + 
             a[9]*a[12]) + 1287*a[1]^8*
             a[8]*a[13] + 56*a[1]^3*
             (9*a[6]*a[7]*a[9] + 
             a[8]*a[13]) + 2002*a[1]^9*
             a[7]*a[14] + 21*a[1]^2*
             (4*a[7]^2*a[8] + 8*a[6]*
             a[8]^2 + a[7]*a[14]) + 
            3003*a[1]^10*a[6]*a[15] + 
            6*a[1]*(7*a[7]^2*a[8] + 
             7*a[6]*a[7]*a[9] + a[6]*a[
             15]) + 969*a[1]^16*a[20]) + 
          2*a[4]*(6*(1 + 70*a[1]^3 + 
             70*a[1]^4)*a[7]^2*a[8] + 
            6*a[6]*a[8]^2 + 90*a[1]^2*
             a[6]*a[8]^2 + 840*a[1]^4*
             a[6]*a[8]^2 + 6*a[6]^2*
             a[10] + 180*a[1]^2*a[6]^2*
             a[10] + 1260*a[1]^6*a[6]^2*
             a[10] + 55*a[2]^9*a[11] + 
            3*a[10]*a[11] + 12*a[1]*
             a[10]*a[11] + 360*a[1]^7*
             a[10]*a[11] + 495*a[1]^8*
             a[10]*a[11] + 2970*a[1]^2*
             a[2]^8*a[12] + 3*a[9]*
             a[12] + 12*a[1]*a[9]*
             a[12] + 252*a[1]^6*a[9]*
             a[12] + 660*a[1]^9*a[9]*
             a[12] + 25740*a[1]^4*a[2]^7*
             a[13] + 3*a[8]*a[13] + 
            12*a[1]*a[8]*a[13] + 
            168*a[1]^5*a[8]*a[13] + 
            858*a[1]^10*a[8]*a[13] + 
            84*a[2]^6*(3*a[6]*a[9] + 
             1001*a[1]^6*a[14]) + 
            3*a[7]*(4*(1 + 15*a[1]^2 + 
             35*a[1]^3 + 126*a[1]^5)*a[
             6]*a[9] + (1 + 4*a[1] + 
             35*a[1]^4 + 364*a[1]^11)*a[
             14]) + 3*a[6]*a[15] + 
            12*a[1]*a[6]*a[15] + 
            60*a[1]^3*a[6]*a[15] + 
            1365*a[1]^12*a[6]*a[15] + 
            21*a[2]^5*(8*a[8]^2 + 
             9*a[1]*(8*a[7]*a[9] + 
             40*a[1]*a[6]*a[10] + 
             715*a[1]^7*a[15])) + 
            105*a[2]^4*(8*a[1]*a[8]*a[
             9] + 36*a[1]^2*a[8]*a[9] + 
             a[7]*a[10] + 120*a[1]^3*a[
             7]*a[10] + 330*a[1]^4*a[6]*
             a[11] + 1144*a[1]^10*a[
             16]) + 10*a[2]^3*
             (21*a[6]^2*a[7] + 6*(1 + 
             924*a[1]^6)*a[6]*a[12] + 
             14*a[1]*(36*a[1]^2*a[9]^2 + 
             12*a[1]*a[8]*a[10] + 
             90*a[1]^3*a[8]*a[10] + 
             3*a[7]*a[11] + 198*a[1]^4*
             a[7]*a[11] + 442*a[1]^11*
             a[17])) + 6*a[2]^2*
             (30*(1 + 14*a[1]^2)*a[6]^2*
             a[8] + 630*a[1]^4*a[9]*a[
             10] + 1260*a[1]^5*a[9]*a[
             10] + 280*a[1]^3*a[8]*a[
             11] + 2310*a[1]^6*a[8]*a[
             11] + 105*a[1]^2*a[7]*a[
             12] + 3960*a[1]^7*a[7]*a[
             12] + 15*a[6]*((1 + 14*
             a[1])*a[7]^2 + a[1]*(2 + 
             429*a[1]^7)*a[13]) + 
             a[18] + 3060*a[1]^14*a[
             18]) + 3*a[2]*(2*a[10]^2 + 
             840*a[1]^6*a[10]^2 + 
             4*a[9]*a[11] + 504*a[1]^5*a[
             9]*a[11] + 1320*a[1]^7*a[9]*
             a[11] + 4*a[8]*a[12] + 
             1980*a[1]^8*a[8]*a[12] + 
             140*a[1]^4*(9*a[6]^2*a[9] + 
             2*a[8]*a[12]) + 4*a[7]*a[
             13] + 2860*a[1]^9*a[7]*a[
             13] + 140*a[1]^3*a[7]*(
             8*a[6]*a[8] + a[13]) + 
             4*a[6]*a[14] + 4004*a[1]^10*
             a[6]*a[14] + 30*a[1]^2*(
             7*a[7]^3 + 14*a[6]*a[7]*
             a[8] + 2*a[6]*a[14]) + 
             a[19] + 969*a[1]^16*a[19] + 
             4*a[1]*(30*a[6]*a[7]*a[8] + 
             30*a[6]^2*a[9] + a[19])) + 
            3*a[1]*a[20] + 6*a[1]^2*
             a[20] + 190*a[1]^18*
             a[20]) + 3*a[2]^2*
           (20*a[6]^4 + 210*a[1]^2*a[7]*
             (a[8]^2 + 2*a[7]*a[9]) + 
            60*a[1]*(2 + 77*a[1]^5)*
             a[6]^2*a[11] + 1320*a[1]^7*
             a[11]^2 + 840*a[1]^6*a[10]*
             a[12] + 1980*a[1]^8*a[10]*
             a[12] + 504*a[1]^5*a[9]*
             a[13] + 2860*a[1]^9*a[9]*
             a[13] + 4004*a[1]^10*a[8]*
             a[14] + 140*a[1]^4*
             (9*a[7]^2*a[9] + 2*a[8]*a[
             14]) + 5460*a[1]^11*a[7]*
             a[15] + 140*a[1]^3*a[7]*
             (8*a[8]^2 + a[15]) + 
            20*a[1]*a[6]*(2*(3 + 
             28*a[1]^2 + 63*a[1]^3)*a[8]*
             a[9] + 3*(2 + 7*a[1] + 
             84*a[1]^4)*a[7]*a[10] + 
             a[1]*(3 + 364*a[1]^10)*a[
             16]) + a[21] + 1330*a[1]^18*
             a[21]) + 2*a[2]*
           (3*a[11]*a[12] + 660*a[1]^9*
             a[11]*a[12] + 495*a[1]^8*
             (6*a[6]^2 + a[11])*a[12] + 
            30*a[1]^2*a[6]*(7*a[6]^2*a[
             7] + 3*a[9]^2 + 6*a[8]*a[
             10] + 6*a[7]*a[11] + 
             6*a[6]*a[12]) + 3*a[10]*
             a[13] + 858*a[1]^10*a[10]*
             a[13] + 360*a[1]^7*
             (11*a[6]*a[7]*a[11] + 
             a[10]*a[13]) + 3*a[9]*
             a[14] + 1092*a[1]^11*a[9]*
             a[14] + 252*a[1]^6*
             (5*a[7]^2*a[10] + 10*a[6]*a[
             8]*a[10] + a[9]*a[14]) + 
            3*a[8]*a[15] + 1365*a[1]^12*
             a[8]*a[15] + 168*a[1]^5*
             (9*a[7]*a[8]*a[9] + 
             9*a[6]*a[9]^2 + a[8]*a[
             15]) + 3*a[7]*a[16] + 
            1680*a[1]^13*a[7]*a[16] + 
            105*a[1]^4*(4*a[8]^3 + 
             8*a[8]*(a[7]*a[9] + a[6]*
             a[10]) + a[7]*a[16]) + 
            3*a[6]*a[17] + 2040*a[1]^14*
             a[6]*a[17] + 60*a[1]^3*
             (7*a[7]^2*a[10] + 7*a[7]*(
             a[8]*a[9] + a[6]*a[11]) + 
             a[6]*a[17]) + a[22] + 
            231*a[1]^20*a[22] + 
            3*a[1]*(60*a[6]^3*a[7] + 
             a[22])) + 3*a[1]^2*a[23] + 
          23*a[1]^22*a[23]) + 
        2*a[1]*a[2]*a[24] + 24*a[1]^23*
         a[2]*a[24] - b[25]));
         
   a[26] = -((1/(a[1] + a[1]^26))*
       (5*a[5]^5*a[6] + 6*a[1]*a[5]^5*
         a[6] + 90*a[2]^2*a[5]^2*
         a[6]^3 + 5*a[2]*a[5]*a[6]^4 + 
        120*a[1]*a[2]*a[5]*a[6]^4 + 
        15*a[1]^2*a[6]^5 + 35*a[2]^3*
         a[5]^4*a[7] + 60*a[2]^2*a[5]^3*
         a[6]*a[7] + 420*a[1]*a[2]^2*
         a[5]^3*a[6]*a[7] + 60*a[2]*
         a[5]^2*a[6]^2*a[7] + 
        360*a[1]*a[2]*a[5]^2*a[6]^2*
         a[7] + 630*a[1]^2*a[2]*a[5]^2*
         a[6]^2*a[7] + 35*a[2]^4*a[6]^3*
         a[7] + 20*a[1]*a[5]*a[6]^3*
         a[7] + 180*a[1]^2*a[5]*a[6]^3*
         a[7] + 140*a[1]^3*a[5]*a[6]^3*
         a[7] + 30*a[2]*a[5]^3*a[7]^2 + 
        420*a[1]^2*a[2]*a[5]^3*a[7]^2 + 
        210*a[2]^4*a[5]*a[6]*a[7]^2 + 
        60*a[1]*a[5]^2*a[6]*a[7]^2 + 
        90*a[1]^2*a[5]^2*a[6]*a[7]^2 + 
        420*a[1]^3*a[5]^2*a[6]*a[7]^2 + 
        60*a[2]^3*a[6]^2*a[7]^2 + 
        420*a[1]*a[2]^3*a[6]^2*a[7]^2 + 
        420*a[1]*a[2]^3*a[5]*a[7]^3 + 
        60*a[1]*a[2]^2*a[6]*a[7]^3 + 
        630*a[1]^2*a[2]^2*a[6]*a[7]^3 + 
        140*a[1]^3*a[2]*a[7]^4 + 
        420*a[1]^2*a[2]^2*a[5]^4*a[8] + 
        168*a[2]^5*a[5]^2*a[6]*a[8] + 
        60*a[2]*a[5]^3*a[6]*a[8] + 
        120*a[1]*a[2]*a[5]^3*a[6]*a[8] + 
        1120*a[1]^3*a[2]*a[5]^3*a[6]*
         a[8] + 840*a[1]*a[2]^4*a[5]*
         a[6]^2*a[8] + 60*a[1]*a[5]^2*
         a[6]^2*a[8] + 180*a[1]^2*a[5]^2*
         a[6]^2*a[8] + 420*a[1]^4*a[5]^2*
         a[6]^2*a[8] + 60*a[2]^3*a[6]^3*
         a[8] + 560*a[1]^2*a[2]^3*a[6]^3*
         a[8] + 105*a[2]^4*a[5]^2*a[7]*
         a[8] + 840*a[1]*a[2]^4*a[5]^2*
         a[7]*a[8] + 60*a[1]*a[5]^3*a[7]*
         a[8] + 140*a[1]^3*a[5]^3*a[7]*
         a[8] + 280*a[1]^4*a[5]^3*a[7]*
         a[8] + 120*a[2]^3*a[5]*a[6]*
         a[7]*a[8] + 840*a[1]*a[2]^3*
         a[5]*a[6]*a[7]*a[8] + 
        3360*a[1]^2*a[2]^3*a[5]*a[6]*
         a[7]*a[8] + 360*a[1]*a[2]^2*
         a[6]^2*a[7]*a[8] + 630*a[1]^2*
         a[2]^2*a[6]^2*a[7]*a[8] + 
        1680*a[1]^3*a[2]^2*a[6]^2*a[7]*
         a[8] + 28*a[2]^6*a[7]^2*a[8] + 
        30*a[2]^2*a[5]*a[7]^2*a[8] + 
        1260*a[1]^2*a[2]^2*a[5]*a[7]^2*
         a[8] + 1680*a[1]^3*a[2]^2*a[5]*
         a[7]^2*a[8] + 180*a[1]^2*a[2]*
         a[6]*a[7]^2*a[8] + 840*a[1]^3*
         a[2]*a[6]*a[7]^2*a[8] + 
        840*a[1]^4*a[2]*a[6]*a[7]^2*
         a[8] + 105*a[1]^4*a[7]^3*a[8] + 
        56*a[1]^5*a[7]^3*a[8] + 
        1680*a[1]^2*a[2]^3*a[5]^2*
         a[8]^2 + 56*a[2]^6*a[6]*
         a[8]^2 + 30*a[2]^2*a[5]*a[6]*
         a[8]^2 + 180*a[1]*a[2]^2*a[5]*
         a[6]*a[8]^2 + 3360*a[1]^3*
         a[2]^2*a[5]*a[6]*a[8]^2 + 
        180*a[1]^2*a[2]*a[6]^2*a[8]^2 + 
        840*a[1]^4*a[2]*a[6]^2*a[8]^2 + 
        21*a[2]^5*a[7]*a[8]^2 + 
        336*a[1]*a[2]^5*a[7]*a[8]^2 + 
        60*a[1]*a[2]*a[5]*a[7]*a[8]^2 + 
        420*a[1]^3*a[2]*a[5]*a[7]*
         a[8]^2 + 1680*a[1]^4*a[2]*a[5]*
         a[7]*a[8]^2 + 60*a[1]^3*a[6]*
         a[7]*a[8]^2 + 105*a[1]^4*a[6]*
         a[7]*a[8]^2 + 336*a[1]^5*a[6]*
         a[7]*a[8]^2 + 420*a[1]^2*a[2]^4*
         a[8]^3 + 10*a[1]^2*a[5]*
         a[8]^3 + 168*a[1]^5*a[5]*
         a[8]^3 + 7*a[4]^6*(a[2]*a[7] + 
          4*a[1]^2*a[8]) + 504*a[1]*
         a[2]^5*a[5]^3*a[9] + 
        20*a[2]*a[5]^4*a[9] + 
        630*a[1]^4*a[2]*a[5]^4*a[9] + 
        3780*a[1]^2*a[2]^4*a[5]^2*a[6]*
         a[9] + 60*a[1]*a[5]^3*a[6]*
         a[9] + 60*a[1]^2*a[5]^3*a[6]*
         a[9] + 504*a[1]^5*a[5]^3*a[6]*
         a[9] + 36*a[2]^7*a[6]^2*a[9] + 
        120*a[2]^3*a[5]*a[6]^2*a[9] + 
        5040*a[1]^3*a[2]^3*a[5]*a[6]^2*
         a[9] + 180*a[1]*a[2]^2*a[6]^3*
         a[9] + 1260*a[1]^4*a[2]^2*
         a[6]^3*a[9] + 72*a[2]^7*a[5]*
         a[7]*a[9] + 420*a[1]*a[2]^3*
         a[5]^2*a[7]*a[9] + 5040*a[1]^3*
         a[2]^3*a[5]^2*a[7]*a[9] + 
        504*a[1]*a[2]^6*a[6]*a[7]*a[9] + 
        60*a[2]^2*a[5]*a[6]*a[7]*a[9] + 
        360*a[1]*a[2]^2*a[5]*a[6]*a[7]*
         a[9] + 1260*a[1]^2*a[2]^2*a[5]*
         a[6]*a[7]*a[9] + 7560*a[1]^4*
         a[2]^2*a[5]*a[6]*a[7]*a[9] + 
        360*a[1]^2*a[2]*a[6]^2*a[7]*
         a[9] + 420*a[1]^3*a[2]*a[6]^2*
         a[7]*a[9] + 1512*a[1]^5*a[2]*
         a[6]^2*a[7]*a[9] + 42*a[2]^5*
         a[7]^2*a[9] + 756*a[1]^2*a[2]^5*
         a[7]^2*a[9] + 60*a[1]*a[2]*a[5]*
         a[7]^2*a[9] + 840*a[1]^3*a[2]*
         a[5]*a[7]^2*a[9] + 1512*a[1]^5*
         a[2]*a[5]*a[7]^2*a[9] + 
        60*a[1]^3*a[6]*a[7]^2*a[9] + 
        210*a[1]^4*a[6]*a[7]^2*a[9] + 
        252*a[1]^6*a[6]*a[7]^2*a[9] + 
        56*a[2]^6*a[5]*a[8]*a[9] + 
        504*a[1]*a[2]^6*a[5]*a[8]*a[9] + 
        60*a[2]^2*a[5]^2*a[8]*a[9] + 
        1680*a[1]^3*a[2]^2*a[5]^2*a[8]*
         a[9] + 3780*a[1]^4*a[2]^2*
         a[5]^2*a[8]*a[9] + 336*a[1]*
         a[2]^5*a[6]*a[8]*a[9] + 
        1512*a[1]^2*a[2]^5*a[6]*a[8]*
         a[9] + 120*a[1]*a[2]*a[5]*a[6]*
         a[8]*a[9] + 360*a[1]^2*a[2]*
         a[5]*a[6]*a[8]*a[9] + 
        1680*a[1]^4*a[2]*a[5]*a[6]*a[8]*
         a[9] + 3024*a[1]^5*a[2]*a[5]*
         a[6]*a[8]*a[9] + 120*a[1]^3*
         a[6]^2*a[8]*a[9] + 168*a[1]^5*
         a[6]^2*a[8]*a[9] + 252*a[1]^6*
         a[6]^2*a[8]*a[9] + 210*a[1]*
         a[2]^4*a[7]*a[8]*a[9] + 
        840*a[1]^2*a[2]^4*a[7]*a[8]*
         a[9] + 2520*a[1]^3*a[2]^4*a[7]*
         a[8]*a[9] + 60*a[1]^2*a[5]*a[7]*
         a[8]*a[9] + 210*a[1]^4*a[5]*
         a[7]*a[8]*a[9] + 336*a[1]^5*
         a[5]*a[7]*a[8]*a[9] + 
        504*a[1]^6*a[5]*a[7]*a[8]*a[9] + 
        1120*a[1]^3*a[2]^3*a[8]^2*a[9] + 
        1260*a[1]^4*a[2]^3*a[8]^2*a[9] + 
        1512*a[1]^2*a[2]^5*a[5]*a[9]^2 + 
        60*a[1]*a[2]*a[5]^2*a[9]^2 + 
        1512*a[1]^5*a[2]*a[5]^2*a[9]^2 + 
        15*a[2]^4*a[6]*a[9]^2 + 
        2520*a[1]^3*a[2]^4*a[6]*a[9]^2 + 
        30*a[1]^2*a[5]*a[6]*a[9]^2 + 
        60*a[1]^3*a[5]*a[6]*a[9]^2 + 
        504*a[1]^6*a[5]*a[6]*a[9]^2 + 
        210*a[1]^2*a[2]^3*a[7]*a[9]^2 + 
        2520*a[1]^4*a[2]^3*a[7]*a[9]^2 + 
        420*a[1]^4*a[2]^2*a[8]*a[9]^2 + 
        1512*a[1]^5*a[2]^2*a[8]*a[9]^2 + 
        252*a[1]^6*a[2]*a[9]^3 + 
        45*a[2]^8*a[5]^2*a[10] + 
        4200*a[1]^3*a[2]^4*a[5]^3*
         a[10] + 20*a[1]*a[5]^4*a[10] + 
        210*a[1]^6*a[5]^4*a[10] + 
        720*a[1]*a[2]^7*a[5]*a[6]*
         a[10] + 60*a[2]^3*a[5]^2*a[6]*
         a[10] + 12600*a[1]^4*a[2]^3*
         a[5]^2*a[6]*a[10] + 1260*a[1]^2*
         a[2]^6*a[6]^2*a[10] + 
        30*a[2]^2*a[5]*a[6]^2*a[10] + 
        360*a[1]*a[2]^2*a[5]*a[6]^2*
         a[10] + 7560*a[1]^5*a[2]^2*a[5]*
         a[6]^2*a[10] + 180*a[1]^2*a[2]*
         a[6]^3*a[10] + 840*a[1]^6*a[2]*
         a[6]^3*a[10] + 2520*a[1]^2*
         a[2]^6*a[5]*a[7]*a[10] + 
        60*a[2]^2*a[5]^2*a[7]*a[10] + 
        630*a[1]^2*a[2]^2*a[5]^2*a[7]*
         a[10] + 7560*a[1]^5*a[2]^2*
         a[5]^2*a[7]*a[10] + 
        42*a[2]^5*a[6]*a[7]*a[10] + 
        5040*a[1]^3*a[2]^5*a[6]*a[7]*
         a[10] + 120*a[1]*a[2]*a[5]*a[6]*
         a[7]*a[10] + 360*a[1]^2*a[2]*
         a[5]*a[6]*a[7]*a[10] + 
        840*a[1]^3*a[2]*a[5]*a[6]*a[7]*
         a[10] + 5040*a[1]^6*a[2]*a[5]*
         a[6]*a[7]*a[10] + 120*a[1]^3*
         a[6]^2*a[7]*a[10] + 105*a[1]^4*
         a[6]^2*a[7]*a[10] + 360*a[1]^7*
         a[6]^2*a[7]*a[10] + 
        210*a[1]*a[2]^4*a[7]^2*a[10] + 
        3150*a[1]^4*a[2]^4*a[7]^2*
         a[10] + 30*a[1]^2*a[5]*a[7]^2*
         a[10] + 210*a[1]^4*a[5]*a[7]^2*
         a[10] + 360*a[1]^7*a[5]*a[7]^2*
         a[10] + 10*a[2]^9*a[8]*a[10] + 
        336*a[1]*a[2]^5*a[5]*a[8]*
         a[10] + 5040*a[1]^3*a[2]^5*a[5]*
         a[8]*a[10] + 120*a[1]*a[2]*
         a[5]^2*a[8]*a[10] + 840*a[1]^4*
         a[2]*a[5]^2*a[8]*a[10] + 
        2520*a[1]^6*a[2]*a[5]^2*a[8]*
         a[10] + 30*a[2]^4*a[6]*a[8]*
         a[10] + 840*a[1]^2*a[2]^4*a[6]*
         a[8]*a[10] + 6300*a[1]^4*a[2]^4*
         a[6]*a[8]*a[10] + 60*a[1]^2*
         a[5]*a[6]*a[8]*a[10] + 
        120*a[1]^3*a[5]*a[6]*a[8]*
         a[10] + 336*a[1]^5*a[5]*a[6]*
         a[8]*a[10] + 720*a[1]^7*a[5]*
         a[6]*a[8]*a[10] + 420*a[1]^2*
         a[2]^3*a[7]*a[8]*a[10] + 
        1120*a[1]^3*a[2]^3*a[7]*a[8]*
         a[10] + 5040*a[1]^5*a[2]^3*a[7]*
         a[8]*a[10] + 840*a[1]^4*a[2]^2*
         a[8]^2*a[10] + 1260*a[1]^6*
         a[2]^2*a[8]^2*a[10] + 
        9*a[2]^8*a[9]*a[10] + 
        90*a[1]*a[2]^8*a[9]*a[10] + 
        2520*a[1]^3*a[2]^4*a[5]*a[9]*
         a[10] + 6300*a[1]^4*a[2]^4*a[5]*
         a[9]*a[10] + 60*a[1]^2*a[5]^2*
         a[9]*a[10] + 252*a[1]^6*a[5]^2*
         a[9]*a[10] + 360*a[1]^7*a[5]^2*
         a[9]*a[10] + 120*a[1]*a[2]^3*
         a[6]*a[9]*a[10] + 2520*a[1]^4*
         a[2]^3*a[6]*a[9]*a[10] + 
        5040*a[1]^5*a[2]^3*a[6]*a[9]*
         a[10] + 420*a[1]^3*a[2]^2*a[7]*
         a[9]*a[10] + 1512*a[1]^5*a[2]^2*
         a[7]*a[9]*a[10] + 2520*a[1]^6*
         a[2]^2*a[7]*a[9]*a[10] + 
        336*a[1]^5*a[2]*a[8]*a[9]*
         a[10] + 504*a[1]^6*a[2]*a[8]*
         a[9]*a[10] + 720*a[1]^7*a[2]*
         a[8]*a[9]*a[10] + 72*a[1]^7*
         a[9]^2*a[10] + 45*a[1]^8*a[9]^2*
         a[10] + 360*a[1]^2*a[2]^7*
         a[10]^2 + 10*a[2]^3*a[5]*
         a[10]^2 + 5040*a[1]^5*a[2]^3*
         a[5]*a[10]^2 + 90*a[1]^2*a[2]^2*
         a[6]*a[10]^2 + 2520*a[1]^6*
         a[2]^2*a[6]*a[10]^2 + 
        105*a[1]^4*a[2]*a[7]*a[10]^2 + 
        720*a[1]^7*a[2]*a[7]*a[10]^2 + 
        28*a[1]^6*a[8]*a[10]^2 + 
        90*a[1]^8*a[8]*a[10]^2 + 
        9*a[3]^8*(a[2]*a[9] + 
          5*a[1]^2*a[10]) + 1980*a[1]^2*
         a[2]^7*a[5]^2*a[11] + 
        9240*a[1]^5*a[2]^3*a[5]^3*
         a[11] + 11*a[2]^10*a[6]*a[11] + 
        9240*a[1]^3*a[2]^6*a[5]*a[6]*
         a[11] + 60*a[2]^2*a[5]^2*a[6]*
         a[11] + 180*a[1]*a[2]^2*a[5]^2*
         a[6]*a[11] + 13860*a[1]^6*
         a[2]^2*a[5]^2*a[6]*a[11] + 
        6930*a[1]^4*a[2]^5*a[6]^2*
         a[11] + 60*a[1]*a[2]*a[5]*
         a[6]^2*a[11] + 360*a[1]^2*a[2]*
         a[5]*a[6]^2*a[11] + 3960*a[1]^7*
         a[2]*a[5]*a[6]^2*a[11] + 
        60*a[1]^3*a[6]^3*a[11] + 
        165*a[1]^8*a[6]^3*a[11] + 
        110*a[1]*a[2]^9*a[7]*a[11] + 
        42*a[2]^5*a[5]*a[7]*a[11] + 
        13860*a[1]^4*a[2]^5*a[5]*a[7]*
         a[11] + 120*a[1]*a[2]*a[5]^2*
         a[7]*a[11] + 420*a[1]^3*a[2]*
         a[5]^2*a[7]*a[11] + 3960*a[1]^7*
         a[2]*a[5]^2*a[7]*a[11] + 
        30*a[2]^4*a[6]*a[7]*a[11] + 
        210*a[1]*a[2]^4*a[6]*a[7]*
         a[11] + 13860*a[1]^5*a[2]^4*
         a[6]*a[7]*a[11] + 60*a[1]^2*
         a[5]*a[6]*a[7]*a[11] + 
        120*a[1]^3*a[5]*a[6]*a[7]*
         a[11] + 210*a[1]^4*a[5]*a[6]*
         a[7]*a[11] + 990*a[1]^8*a[5]*
         a[6]*a[7]*a[11] + 420*a[1]^2*
         a[2]^3*a[7]^2*a[11] + 
        4620*a[1]^6*a[2]^3*a[7]^2*
         a[11] + 495*a[1]^2*a[2]^8*a[8]*
         a[11] + 840*a[1]^2*a[2]^4*a[5]*
         a[8]*a[11] + 13860*a[1]^5*
         a[2]^4*a[5]*a[8]*a[11] + 
        60*a[1]^2*a[5]^2*a[8]*a[11] + 
        168*a[1]^5*a[5]^2*a[8]*a[11] + 
        495*a[1]^8*a[5]^2*a[8]*a[11] + 
        120*a[1]*a[2]^3*a[6]*a[8]*
         a[11] + 1120*a[1]^3*a[2]^3*a[6]*
         a[8]*a[11] + 9240*a[1]^6*a[2]^3*
         a[6]*a[8]*a[11] + 420*a[1]^3*
         a[2]^2*a[7]*a[8]*a[11] + 
        840*a[1]^4*a[2]^2*a[7]*a[8]*
         a[11] + 3960*a[1]^7*a[2]^2*a[7]*
         a[8]*a[11] + 336*a[1]^5*a[2]*
         a[8]^2*a[11] + 495*a[1]^8*a[2]*
         a[8]^2*a[11] + 72*a[1]*a[2]^7*
         a[9]*a[11] + 1320*a[1]^3*a[2]^7*
         a[9]*a[11] + 20*a[2]^3*a[5]*
         a[9]*a[11] + 2520*a[1]^4*a[2]^3*
         a[5]*a[9]*a[11] + 9240*a[1]^6*
         a[2]^3*a[5]*a[9]*a[11] + 
        180*a[1]^2*a[2]^2*a[6]*a[9]*
         a[11] + 1512*a[1]^5*a[2]^2*a[6]*
         a[9]*a[11] + 3960*a[1]^7*a[2]^2*
         a[6]*a[9]*a[11] + 210*a[1]^4*
         a[2]*a[7]*a[9]*a[11] + 
        504*a[1]^6*a[2]*a[7]*a[9]*
         a[11] + 990*a[1]^8*a[2]*a[7]*
         a[9]*a[11] + 56*a[1]^6*a[8]*
         a[9]*a[11] + 72*a[1]^7*a[8]*
         a[9]*a[11] + 110*a[1]^9*a[8]*
         a[9]*a[11] + 840*a[1]^3*a[2]^6*
         a[10]*a[11] + 2310*a[1]^4*
         a[2]^6*a[10]*a[11] + 
        60*a[1]*a[2]^2*a[5]*a[10]*
         a[11] + 2520*a[1]^6*a[2]^2*a[5]*
         a[10]*a[11] + 3960*a[1]^7*
         a[2]^2*a[5]*a[10]*a[11] + 
        120*a[1]^3*a[2]*a[6]*a[10]*
         a[11] + 720*a[1]^7*a[2]*a[6]*
         a[10]*a[11] + 990*a[1]^8*a[2]*
         a[6]*a[10]*a[11] + 42*a[1]^5*
         a[7]*a[10]*a[11] + 90*a[1]^8*
         a[7]*a[10]*a[11] + 110*a[1]^9*
         a[7]*a[10]*a[11] + 2772*a[1]^5*
         a[2]^5*a[11]^2 + 30*a[1]^2*a[2]*
         a[5]*a[11]^2 + 990*a[1]^8*a[2]*
         a[5]*a[11]^2 + 15*a[1]^4*a[6]*
         a[11]^2 + 110*a[1]^9*a[6]*
         a[11]^2 + a[4]^5*(6*a[6]^2 + 
          7*(3*a[3]^2*a[7] + 6*a[1]*a[5]*
             a[7] + 8*a[2]^3*a[8] + 
            48*a[1]*a[2]*a[3]*a[8] + 
            108*a[1]^2*a[2]^2*a[9] + 
            72*a[1]^3*a[3]*a[9] + 
            180*a[1]^4*a[2]*a[10] + 
            66*a[1]^6*a[11])) + 
        132*a[1]*a[2]^10*a[5]*a[12] + 
        13860*a[1]^4*a[2]^6*a[5]^2*
         a[12] + 30*a[2]^2*a[5]^3*
         a[12] + 7920*a[1]^7*a[2]^2*
         a[5]^3*a[12] + 660*a[1]^2*
         a[2]^9*a[6]*a[12] + 
        33264*a[1]^5*a[2]^5*a[5]*a[6]*
         a[12] + 120*a[1]*a[2]*a[5]^2*
         a[6]*a[12] + 180*a[1]^2*a[2]*
         a[5]^2*a[6]*a[12] + 5940*a[1]^8*
         a[2]*a[5]^2*a[6]*a[12] + 
        30*a[2]^4*a[6]^2*a[12] + 
        13860*a[1]^6*a[2]^4*a[6]^2*
         a[12] + 30*a[1]^2*a[5]*a[6]^2*
         a[12] + 120*a[1]^3*a[5]*a[6]^2*
         a[12] + 660*a[1]^9*a[5]*a[6]^2*
         a[12] + 1980*a[1]^3*a[2]^8*a[7]*
         a[12] + 210*a[1]*a[2]^4*a[5]*
         a[7]*a[12] + 27720*a[1]^6*
         a[2]^4*a[5]*a[7]*a[12] + 
        60*a[1]^2*a[5]^2*a[7]*a[12] + 
        105*a[1]^4*a[5]^2*a[7]*a[12] + 
        660*a[1]^9*a[5]^2*a[7]*a[12] + 
        120*a[1]*a[2]^3*a[6]*a[7]*
         a[12] + 420*a[1]^2*a[2]^3*a[6]*
         a[7]*a[12] + 15840*a[1]^7*
         a[2]^3*a[6]*a[7]*a[12] + 
        420*a[1]^3*a[2]^2*a[7]^2*a[12] + 
        2970*a[1]^8*a[2]^2*a[7]^2*
         a[12] + 8*a[2]^7*a[8]*a[12] + 
        3960*a[1]^4*a[2]^7*a[8]*a[12] + 
        20*a[2]^3*a[5]*a[8]*a[12] + 
        1120*a[1]^3*a[2]^3*a[5]*a[8]*
         a[12] + 15840*a[1]^7*a[2]^3*
         a[5]*a[8]*a[12] + 180*a[1]^2*
         a[2]^2*a[6]*a[8]*a[12] + 
        840*a[1]^4*a[2]^2*a[6]*a[8]*
         a[12] + 5940*a[1]^8*a[2]^2*a[6]*
         a[8]*a[12] + 210*a[1]^4*a[2]*
         a[7]*a[8]*a[12] + 336*a[1]^5*
         a[2]*a[7]*a[8]*a[12] + 
        1320*a[1]^9*a[2]*a[7]*a[8]*
         a[12] + 56*a[1]^6*a[8]^2*
         a[12] + 66*a[1]^10*a[8]^2*
         a[12] + 252*a[1]^2*a[2]^6*a[9]*
         a[12] + 5544*a[1]^5*a[2]^6*a[9]*
         a[12] + 60*a[1]*a[2]^2*a[5]*
         a[9]*a[12] + 1512*a[1]^5*a[2]^2*
         a[5]*a[9]*a[12] + 5940*a[1]^8*
         a[2]^2*a[5]*a[9]*a[12] + 
        120*a[1]^3*a[2]*a[6]*a[9]*
         a[12] + 504*a[1]^6*a[2]*a[6]*
         a[9]*a[12] + 1320*a[1]^9*a[2]*
         a[6]*a[9]*a[12] + 42*a[1]^5*
         a[7]*a[9]*a[12] + 72*a[1]^7*
         a[7]*a[9]*a[12] + 132*a[1]^10*
         a[7]*a[9]*a[12] + 1260*a[1]^4*
         a[2]^5*a[10]*a[12] + 
        5544*a[1]^6*a[2]^5*a[10]*a[12] + 
        60*a[1]^2*a[2]*a[5]*a[10]*
         a[12] + 720*a[1]^7*a[2]*a[5]*
         a[10]*a[12] + 1320*a[1]^9*a[2]*
         a[5]*a[10]*a[12] + 30*a[1]^4*
         a[6]*a[10]*a[12] + 90*a[1]^8*
         a[6]*a[10]*a[12] + 132*a[1]^10*
         a[6]*a[10]*a[12] + 2310*a[1]^6*
         a[2]^4*a[11]*a[12] + 
        3960*a[1]^7*a[2]^4*a[11]*a[12] + 
        20*a[1]^3*a[5]*a[11]*a[12] + 
        110*a[1]^9*a[5]*a[11]*a[12] + 
        132*a[1]^10*a[5]*a[11]*a[12] + 
        1980*a[1]^8*a[2]^3*a[12]^2 + 
        8*a[3]^7*(a[5]*a[8] + 
          45*a[1]*a[2]^2*a[10] + 
          165*a[1]^3*a[2]*a[11] + 
          99*a[1]^5*a[12]) + 
        a[2]^13*a[13] + 2860*a[1]^3*
         a[2]^9*a[5]*a[13] + 
        36036*a[1]^6*a[2]^5*a[5]^2*
         a[13] + 60*a[1]*a[2]*a[5]^3*
         a[13] + 2860*a[1]^9*a[2]*a[5]^3*
         a[13] + 6435*a[1]^4*a[2]^8*a[6]*
         a[13] + 30*a[2]^4*a[5]*a[6]*
         a[13] + 51480*a[1]^7*a[2]^4*
         a[5]*a[6]*a[13] + 60*a[1]^2*
         a[5]^2*a[6]*a[13] + 
        60*a[1]^3*a[5]^2*a[6]*a[13] + 
        858*a[1]^10*a[5]^2*a[6]*a[13] + 
        120*a[1]*a[2]^3*a[6]^2*a[13] + 
        12870*a[1]^8*a[2]^3*a[6]^2*
         a[13] + 10296*a[1]^5*a[2]^7*
         a[7]*a[13] + 20*a[2]^3*a[5]*
         a[7]*a[13] + 420*a[1]^2*a[2]^3*
         a[5]*a[7]*a[13] + 25740*a[1]^8*
         a[2]^3*a[5]*a[7]*a[13] + 
        180*a[1]^2*a[2]^2*a[6]*a[7]*
         a[13] + 420*a[1]^3*a[2]^2*a[6]*
         a[7]*a[13] + 8580*a[1]^9*a[2]^2*
         a[6]*a[7]*a[13] + 210*a[1]^4*
         a[2]*a[7]^2*a[13] + 858*a[1]^10*
         a[2]*a[7]^2*a[13] + 
        56*a[1]*a[2]^6*a[8]*a[13] + 
        12012*a[1]^6*a[2]^6*a[8]*a[13] + 
        60*a[1]*a[2]^2*a[5]*a[8]*a[13] + 
        840*a[1]^4*a[2]^2*a[5]*a[8]*
         a[13] + 8580*a[1]^9*a[2]^2*a[5]*
         a[8]*a[13] + 120*a[1]^3*a[2]*
         a[6]*a[8]*a[13] + 336*a[1]^5*
         a[2]*a[6]*a[8]*a[13] + 
        1716*a[1]^10*a[2]*a[6]*a[8]*
         a[13] + 42*a[1]^5*a[7]*a[8]*
         a[13] + 56*a[1]^6*a[7]*a[8]*
         a[13] + 156*a[1]^11*a[7]*a[8]*
         a[13] + 504*a[1]^3*a[2]^5*a[9]*
         a[13] + 10296*a[1]^7*a[2]^5*
         a[9]*a[13] + 60*a[1]^2*a[2]*
         a[5]*a[9]*a[13] + 504*a[1]^6*
         a[2]*a[5]*a[9]*a[13] + 
        1716*a[1]^10*a[2]*a[5]*a[9]*
         a[13] + 30*a[1]^4*a[6]*a[9]*
         a[13] + 72*a[1]^7*a[6]*a[9]*
         a[13] + 156*a[1]^11*a[6]*a[9]*
         a[13] + 1260*a[1]^5*a[2]^4*
         a[10]*a[13] + 6435*a[1]^8*
         a[2]^4*a[10]*a[13] + 
        20*a[1]^3*a[5]*a[10]*a[13] + 
        90*a[1]^8*a[5]*a[10]*a[13] + 
        156*a[1]^11*a[5]*a[10]*a[13] + 
        1320*a[1]^7*a[2]^3*a[11]*a[13] + 
        2860*a[1]^9*a[2]^3*a[11]*a[13] + 
        660*a[1]^9*a[2]^2*a[12]*a[13] + 
        858*a[1]^10*a[2]^2*a[12]*a[13] + 
        a[2]*a[13]^2 + 156*a[1]^11*a[2]*
         a[13]^2 + 91*a[1]^2*a[2]^12*
         a[14] + 18018*a[1]^5*a[2]^8*
         a[5]*a[14] + 45045*a[1]^8*
         a[2]^4*a[5]^2*a[14] + 
        30*a[1]^2*a[5]^3*a[14] + 
        364*a[1]^11*a[5]^3*a[14] + 
        24024*a[1]^6*a[2]^7*a[6]*a[14] + 
        20*a[2]^3*a[5]*a[6]*a[14] + 
        120*a[1]*a[2]^3*a[5]*a[6]*
         a[14] + 40040*a[1]^9*a[2]^3*
         a[5]*a[6]*a[14] + 180*a[1]^2*
         a[2]^2*a[6]^2*a[14] + 
        6006*a[1]^10*a[2]^2*a[6]^2*
         a[14] + 7*a[2]^6*a[7]*a[14] + 
        24024*a[1]^7*a[2]^6*a[7]*a[14] + 
        60*a[1]*a[2]^2*a[5]*a[7]*a[14] + 
        420*a[1]^3*a[2]^2*a[5]*a[7]*
         a[14] + 12012*a[1]^10*a[2]^2*
         a[5]*a[7]*a[14] + 120*a[1]^3*
         a[2]*a[6]*a[7]*a[14] + 
        210*a[1]^4*a[2]*a[6]*a[7]*
         a[14] + 2184*a[1]^11*a[2]*a[6]*
         a[7]*a[14] + 42*a[1]^5*a[7]^2*
         a[14] + 91*a[1]^12*a[7]^2*
         a[14] + 168*a[1]^2*a[2]^5*a[8]*
         a[14] + 18018*a[1]^8*a[2]^5*
         a[8]*a[14] + 60*a[1]^2*a[2]*
         a[5]*a[8]*a[14] + 336*a[1]^5*
         a[2]*a[5]*a[8]*a[14] + 
        2184*a[1]^11*a[2]*a[5]*a[8]*
         a[14] + 30*a[1]^4*a[6]*a[8]*
         a[14] + 56*a[1]^6*a[6]*a[8]*
         a[14] + 182*a[1]^12*a[6]*a[8]*
         a[14] + 630*a[1]^4*a[2]^4*a[9]*
         a[14] + 10010*a[1]^9*a[2]^4*
         a[9]*a[14] + 20*a[1]^3*a[5]*
         a[9]*a[14] + 72*a[1]^7*a[5]*
         a[9]*a[14] + 182*a[1]^12*a[5]*
         a[9]*a[14] + 840*a[1]^6*a[2]^3*
         a[10]*a[14] + 4004*a[1]^10*
         a[2]^3*a[10]*a[14] + 
        495*a[1]^8*a[2]^2*a[11]*a[14] + 
        1092*a[1]^11*a[2]^2*a[11]*
         a[14] + 2*a[2]*a[12]*a[14] + 
        132*a[1]^10*a[2]*a[12]*a[14] + 
        182*a[1]^12*a[2]*a[12]*a[14] + 
        13*a[1]^12*a[13]*a[14] + 
        14*a[1]^13*a[13]*a[14] + 
        a[4]^4*(15*a[5]^2*a[6] + 
          30*a[3]*a[6]*a[7] + 
          210*a[1]*a[3]*a[6]*a[7] + 
          280*a[1]*a[3]^3*a[8] + 
          105*a[1]^2*a[7]*a[8] + 
          280*a[1]^3*a[7]*a[8] + 
          126*a[2]^5*a[9] + 30*a[1]*a[6]*
           a[9] + 630*a[1]^4*a[6]*a[9] + 
          3150*a[1]^2*a[2]^4*a[10] + 
          3150*a[1]^4*a[3]^2*a[10] + 
          5*a[5]*(168*a[1]*a[2]^2*a[8] + 
            168*a[1]^2*a[3]*a[8] + 
            42*a[2]*(a[3]*a[7] + 
             12*a[1]^3*a[9]) + a[10] + 
            252*a[1]^5*a[10]) + 
          210*a[2]^3*(12*a[1]*a[3]*
             a[9] + 55*a[1]^4*a[11]) + 
          3960*a[1]^7*a[3]*a[12] + 
          105*a[2]^2*(a[6]*a[7] + 
            4*(a[3]^2*a[8] + 30*a[1]^3*a[
             3]*a[10] + 33*a[1]^6*a[
             12])) + 15*a[2]*
           (14*a[1]*a[7]^2 + 2*a[6]*
             a[8] + 28*a[1]^2*
             (2*a[6]*a[8] + 9*a[3]^2*a[
             9]) + 924*a[1]^5*a[3]*
             a[11] + 429*a[1]^8*a[13]) + 
          4*a[14] + 1001*a[1]^10*
           a[14]) + 7*a[3]^6*
         ((1 + 8*a[1])*a[7]*a[8] + 
          30*a[2]^4*a[10] + 660*a[1]^2*
           a[2]^3*a[11] + 1980*a[1]^4*
           a[2]^2*a[12] + 4*a[2]*
           (2*a[6]*a[8] + 18*a[1]*a[5]*
             a[9] + 429*a[1]^6*a[13]) + 
          3*a[1]^2*(12*a[6]*a[9] + 
            40*a[1]*a[5]*a[10] + 
            143*a[1]^6*a[14])) + 
        1365*a[1]^4*a[2]^11*a[15] + 
        51480*a[1]^7*a[2]^7*a[5]*a[15] + 
        20*a[2]^3*a[5]^2*a[15] + 
        30030*a[1]^10*a[2]^3*a[5]^2*
         a[15] + 45045*a[1]^8*a[2]^6*
         a[6]*a[15] + 60*a[1]*a[2]^2*
         a[5]*a[6]*a[15] + 180*a[1]^2*
         a[2]^2*a[5]*a[6]*a[15] + 
        16380*a[1]^11*a[2]^2*a[5]*a[6]*
         a[15] + 120*a[1]^3*a[2]*a[6]^2*
         a[15] + 1365*a[1]^12*a[2]*
         a[6]^2*a[15] + 42*a[1]*a[2]^5*
         a[7]*a[15] + 30030*a[1]^9*
         a[2]^5*a[7]*a[15] + 
        60*a[1]^2*a[2]*a[5]*a[7]*a[15] + 
        210*a[1]^4*a[2]*a[5]*a[7]*
         a[15] + 2730*a[1]^12*a[2]*a[5]*
         a[7]*a[15] + 30*a[1]^4*a[6]*
         a[7]*a[15] + 42*a[1]^5*a[6]*
         a[7]*a[15] + 210*a[1]^13*a[6]*
         a[7]*a[15] + 280*a[1]^3*a[2]^4*
         a[8]*a[15] + 15015*a[1]^10*
         a[2]^4*a[8]*a[15] + 
        20*a[1]^3*a[5]*a[8]*a[15] + 
        56*a[1]^6*a[5]*a[8]*a[15] + 
        210*a[1]^13*a[5]*a[8]*a[15] + 
        504*a[1]^5*a[2]^3*a[9]*a[15] + 
        5460*a[1]^11*a[2]^3*a[9]*a[15] + 
        360*a[1]^7*a[2]^2*a[10]*a[15] + 
        1365*a[1]^12*a[2]^2*a[10]*
         a[15] + 2*a[2]*a[11]*a[15] + 
        110*a[1]^9*a[2]*a[11]*a[15] + 
        210*a[1]^13*a[2]*a[11]*a[15] + 
        12*a[1]^11*a[12]*a[15] + 
        15*a[1]^14*a[12]*a[15] + 
        8008*a[1]^6*a[2]^10*a[16] + 
        80080*a[1]^9*a[2]^6*a[5]*a[16] + 
        60*a[1]*a[2]^2*a[5]^2*a[16] + 
        10920*a[1]^12*a[2]^2*a[5]^2*
         a[16] + 6*a[2]^5*a[6]*a[16] + 
        48048*a[1]^10*a[2]^5*a[6]*
         a[16] + 60*a[1]^2*a[2]*a[5]*
         a[6]*a[16] + 120*a[1]^3*a[2]*
         a[5]*a[6]*a[16] + 3360*a[1]^13*
         a[2]*a[5]*a[6]*a[16] + 
        30*a[1]^4*a[6]^2*a[16] + 
        120*a[1]^14*a[6]^2*a[16] + 
        105*a[1]^2*a[2]^4*a[7]*a[16] + 
        21840*a[1]^11*a[2]^4*a[7]*
         a[16] + 20*a[1]^3*a[5]*a[7]*
         a[16] + 42*a[1]^5*a[5]*a[7]*
         a[16] + 240*a[1]^14*a[5]*a[7]*
         a[16] + 280*a[1]^4*a[2]^3*a[8]*
         a[16] + 7280*a[1]^12*a[2]^3*
         a[8]*a[16] + 252*a[1]^6*a[2]^2*
         a[9]*a[16] + 1680*a[1]^13*
         a[2]^2*a[9]*a[16] + 
        2*a[2]*a[10]*a[16] + 
        90*a[1]^8*a[2]*a[10]*a[16] + 
        240*a[1]^14*a[2]*a[10]*a[16] + 
        11*a[1]^10*a[11]*a[16] + 
        16*a[1]^15*a[11]*a[16] + 
        6*a[3]^5*(28*a[1]*a[5]^2*a[8] + 
          28*a[1]^2*a[8]*a[9] + 
          84*a[1]^3*a[8]*a[9] + 
          7*a[1]*a[7]*a[10] + 210*a[1]^4*
           a[7]*a[10] + 462*a[1]*a[2]^5*
           a[11] + a[6]*a[11] + 
          462*a[1]^5*a[6]*a[11] + 
          4620*a[1]^3*a[2]^4*a[12] + 
          7*a[5]*(a[6]*a[7] + 
            6*(2*a[2]^3*a[9] + 30*a[1]^
             2*a[2]^2*a[10] + 55*a[1]^4*
             a[2]*a[11] + 22*a[1]^6*a[
             12])) + 12012*a[1]^5*a[2]^3*
           a[13] + 28*a[2]^2*
           (a[7]*a[8] + 9*a[1]*a[6]*
             a[9] + 429*a[1]^7*a[14]) + 
          7*a[2]*(8*a[1]*a[8]^2 + 
            a[7]*a[9] + 36*a[1]^2*a[7]*
             a[9] + 120*a[1]^3*a[6]*
             a[10] + 715*a[1]^9*a[15]) + 
          728*a[1]^11*a[16]) + 
        24310*a[1]^8*a[2]^9*a[17] + 
        74256*a[1]^11*a[2]^5*a[5]*
         a[17] + 60*a[1]^2*a[2]*a[5]^2*
         a[17] + 2040*a[1]^14*a[2]*
         a[5]^2*a[17] + 30*a[1]*a[2]^4*
         a[6]*a[17] + 30940*a[1]^12*
         a[2]^4*a[6]*a[17] + 
        20*a[1]^3*a[5]*a[6]*a[17] + 
        30*a[1]^4*a[5]*a[6]*a[17] + 
        272*a[1]^15*a[5]*a[6]*a[17] + 
        140*a[1]^3*a[2]^3*a[7]*a[17] + 
        9520*a[1]^13*a[2]^3*a[7]*a[17] + 
        168*a[1]^5*a[2]^2*a[8]*a[17] + 
        2040*a[1]^14*a[2]^2*a[8]*a[17] + 
        2*a[2]*a[9]*a[17] + 72*a[1]^7*
         a[2]*a[9]*a[17] + 272*a[1]^15*
         a[2]*a[9]*a[17] + 10*a[1]^9*
         a[10]*a[17] + 17*a[1]^16*a[10]*
         a[17] + 2*a[4]^3*
         (60*a[1]*a[6]^2*a[7] + 
          105*a[1]^2*a[6]^2*a[7] + 
          5*a[5]*a[7]^2 + 210*a[1]^2*
           a[5]*a[7]^2 + 10*a[5]*a[6]*
           a[8] + 60*a[1]*a[5]*a[6]*
           a[8] + 560*a[1]^3*a[5]*a[6]*
           a[8] + 10*a[5]^2*a[9] + 
          630*a[1]^4*a[5]^2*a[9] + 
          3*a[9]^2 + 252*a[1]^5*a[9]^2 + 
          70*a[3]^4*(2*a[2]*a[8] + 
            9*a[1]^2*a[9]) + 60*a[2]^7*
           a[10] + 6*a[8]*a[10] + 
          140*a[1]^4*a[8]*a[10] + 
          420*a[1]^6*a[8]*a[10] + 
          2310*a[1]^2*a[2]^6*a[11] + 
          6*a[7]*a[11] + 70*a[1]^3*a[7]*
           a[11] + 660*a[1]^7*a[7]*
           a[11] + 70*a[3]^3*
           (a[5]*a[7] + 36*a[1]*a[2]^2*
             a[9] + 120*a[1]^3*a[2]*
             a[10] + 66*a[1]^5*a[11]) + 
          13860*a[1]^4*a[2]^5*a[12] + 
          6*a[6]*a[12] + 30*a[1]^2*a[6]*
           a[12] + 990*a[1]^8*a[6]*
           a[12] + 6*a[5]*a[13] + 
          10*a[1]*a[5]*a[13] + 
          1430*a[1]^9*a[5]*a[13] + 
          70*a[2]^4*(2*a[6]*a[8] + 
            18*a[1]*a[5]*a[9] + 
            429*a[1]^6*a[13]) + 
          15*a[3]^2*(14*a[1]*a[7]^2 + 
            2*a[6]*a[8] + 56*a[1]^2*a[6]*
             a[8] + 42*a[2]^4*a[9] + 
            168*a[1]^3*a[5]*a[9] + 
            840*a[1]^2*a[2]^3*a[10] + 
            2310*a[1]^4*a[2]^2*a[11] + 
            14*a[2]*(a[6]*a[7] + 
             8*a[1]*a[5]*a[8] + 132*a[1]^
             6*a[12]) + 429*a[1]^8*
             a[13]) + 70*a[2]^3*
           ((1 + 8*a[1])*a[7]*a[8] + 
            3*a[1]^2*(12*a[6]*a[9] + 
             40*a[1]*a[5]*a[10] + 
             143*a[1]^6*a[14])) + 
          15*a[2]^2*(7*a[5]^2*a[7] + 
            56*a[1]^2*a[8]^2 + 
            14*a[1]*a[7]*a[9] + 
            168*a[1]^3*a[7]*a[9] + 
            2*a[6]*a[10] + 420*a[1]^4*
             a[6]*a[10] + 924*a[1]^5*
             a[5]*a[11] + 1001*a[1]^10*
             a[15]) + 2*a[3]*
           (105*a[1]*a[5]^2*a[7] + 
            280*a[1]^3*a[8]^2 + 
            105*a[1]^2*a[7]*a[9] + 
            630*a[1]^4*a[7]*a[9] + 
            1260*a[1]*a[2]^5*a[10] + 
            30*a[1]*a[6]*a[10] + 
            1260*a[1]^5*a[6]*a[10] + 
            11550*a[1]^3*a[2]^4*a[11] + 
            5*a[5]*(6*a[6]^2 + 56*a[2]^
             3*a[8] + 756*a[1]^2*a[2]^2*
             a[9] + 1260*a[1]^4*a[2]*a[
             10] + a[11] + 462*a[1]^6*a[
             11]) + 27720*a[1]^5*a[2]^3*
             a[12] + 15*a[2]^2*
             (7*a[7]^2 + 56*a[1]*a[6]*a[
             8] + 1716*a[1]^7*a[13]) + 
            10*a[2]*(21*a[1]*a[7]*a[8] + 
             84*a[1]^2*a[7]*a[8] + 
             3*a[6]*a[9] + 252*a[1]^3*a[
             6]*a[9] + 1001*a[1]^9*a[
             14]) + 3*a[15] + 
            1365*a[1]^11*a[15]) + 
          2*a[2]*(15*a[6]^3 + 280*a[1]^3*
             a[8]*a[9] + 630*a[1]^4*a[8]*
             a[9] + 1260*a[1]^5*a[7]*
             a[10] + 105*a[1]^2*
             (4*a[5]^2*a[8] + a[7]*a[
             10]) + 30*a[6]*
             ((1 + 7*a[1])*a[5]*a[7] + 
             a[1]*(1 + 77*a[1]^5)*a[
             11]) + 5*a[5]*a[12] + 
            3960*a[1]^7*a[5]*a[12] + 
            3*a[16] + 1820*a[1]^12*
             a[16]) + 6*a[1]*a[17] + 
          340*a[1]^14*a[17]) + 
        43758*a[1]^10*a[2]^8*a[18] + 
        5*a[2]^4*a[5]*a[18] + 
        42840*a[1]^13*a[2]^4*a[5]*
         a[18] + 20*a[1]^3*a[5]^2*
         a[18] + 153*a[1]^16*a[5]^2*
         a[18] + 60*a[1]^2*a[2]^3*a[6]*
         a[18] + 12240*a[1]^14*a[2]^3*
         a[6]*a[18] + 105*a[1]^4*a[2]^2*
         a[7]*a[18] + 2448*a[1]^15*
         a[2]^2*a[7]*a[18] + 2*a[2]*a[8]*
         a[18] + 56*a[1]^6*a[2]*a[8]*
         a[18] + 306*a[1]^16*a[2]*a[8]*
         a[18] + 9*a[1]^8*a[9]*a[18] + 
        18*a[1]^17*a[9]*a[18] + 
        5*a[3]^4*(6*(1 + 14*a[1]^2)*
           a[6]^2*a[8] + 42*a[1]*a[5]*
           a[7]*a[8] + 168*a[1]^2*a[5]*
           a[7]*a[8] + 630*a[1]^4*a[5]^2*
           a[10] + 126*a[1]^4*a[9]*
           a[10] + 252*a[1]^5*a[9]*
           a[10] + 66*a[2]^7*a[11] + 
          56*a[1]^3*a[8]*a[11] + 
          462*a[1]^6*a[8]*a[11] + 
          2772*a[1]^2*a[2]^6*a[12] + 
          21*a[1]^2*a[7]*a[12] + 
          792*a[1]^7*a[7]*a[12] + 
          18018*a[1]^4*a[2]^5*a[13] + 
          3*a[6]*((1 + 14*a[1])*a[7]^2 + 
            2*(1 + 84*a[1]^3)*a[5]*
             a[9] + a[1]*(2 + 429*a[1]^
             7)*a[13]) + a[5]*a[14] + 
          2002*a[1]^9*a[5]*a[14] + 
          42*a[2]^4*(3*a[6]*a[9] + 
            30*a[1]*a[5]*a[10] + 
            1001*a[1]^6*a[14]) + 
          7*a[2]^3*(8*a[8]^2 + 
            3*a[1]*(24*a[7]*a[9] + 
             5*a[1]*(24*a[6]*a[10] + 
             88*a[1]*a[5]*a[11] + 
             429*a[1]^6*a[15]))) + 
          21*a[2]^2*(4*a[5]^2*a[8] + 
            8*a[1]*a[8]*a[9] + 36*a[1]^2*
             a[8]*a[9] + a[7]*a[10] + 
            120*a[1]^3*a[7]*a[10] + 
            330*a[1]^4*a[6]*a[11] + 
            792*a[1]^5*a[5]*a[12] + 
            1144*a[1]^10*a[16]) + 
          a[2]*(21*a[6]^2*a[7] + 
            6*a[6]*(56*a[1]*a[5]*a[8] + 
             a[12] + 924*a[1]^6*a[12]) + 
            2*(378*a[1]^2*a[5]^2*a[9] + 
             3*a[5]*(7*a[7]^2 + 1716*
             a[1]^7*a[13]) + 7*a[1]*(
             36*a[1]^2*a[9]^2 + 12*a[1]*
             a[8]*a[10] + 90*a[1]^3*a[8]*
             a[10] + 3*a[7]*a[11] + 
             198*a[1]^4*a[7]*a[11] + 
             442*a[1]^11*a[17]))) + 
          612*a[1]^14*a[18]) + 
        50388*a[1]^12*a[2]^7*a[19] + 
        20*a[1]*a[2]^3*a[5]*a[19] + 
        15504*a[1]^15*a[2]^3*a[5]*
         a[19] + 60*a[1]^3*a[2]^2*a[6]*
         a[19] + 2907*a[1]^16*a[2]^2*
         a[6]*a[19] + 2*a[2]*a[7]*
         a[19] + 42*a[1]^5*a[2]*a[7]*
         a[19] + 342*a[1]^17*a[2]*a[7]*
         a[19] + 8*a[1]^7*a[8]*a[19] + 
        19*a[1]^18*a[8]*a[19] + 
        38760*a[1]^14*a[2]^6*a[20] + 
        30*a[1]^2*a[2]^2*a[5]*a[20] + 
        3420*a[1]^17*a[2]^2*a[5]*a[20] + 
        2*a[2]*a[6]*a[20] + 30*a[1]^4*
         a[2]*a[6]*a[20] + 380*a[1]^18*
         a[2]*a[6]*a[20] + 7*a[1]^6*a[7]*
         a[20] + 20*a[1]^19*a[7]*a[20] + 
        a[3]^3*(420*a[1]^2*a[7]^2*a[8] + 
          560*a[1]^3*a[7]^2*a[8] + 
          60*a[1]*a[6]*a[8]^2 + 
          1120*a[1]^3*a[6]*a[8]^2 + 
          140*a[5]^3*(a[2]*a[7] + 
            4*a[1]^2*a[8]) + 120*a[1]*
           a[6]*a[7]*a[9] + 420*a[1]^2*
           a[6]*a[7]*a[9] + 2520*a[1]^4*
           a[6]*a[7]*a[9] + 120*a[1]*
           a[6]^2*a[10] + 2520*a[1]^5*
           a[6]^2*a[10] + 840*a[1]^6*
           a[10]*a[11] + 1320*a[1]^7*
           a[10]*a[11] + 1980*a[1]*
           a[2]^8*a[12] + 504*a[1]^5*
           a[9]*a[12] + 1980*a[1]^8*a[9]*
           a[12] + 20*a[5]^2*
           (3*(1 + 7*a[1])*a[6]*a[7] + 
            252*a[1]*a[2]^3*a[9] + 
            1260*a[1]^3*a[2]^2*a[10] + 
            1386*a[1]^5*a[2]*a[11] + 
            a[12] + 396*a[1]^7*a[12]) + 
          34320*a[1]^3*a[2]^7*a[13] + 
          280*a[1]^4*a[8]*a[13] + 
          2860*a[1]^9*a[8]*a[13] + 
          168168*a[1]^5*a[2]^6*a[14] + 
          140*a[1]^3*a[7]*a[14] + 
          4004*a[1]^10*a[7]*a[14] + 
          60*a[1]^2*a[6]*a[15] + 
          5460*a[1]^11*a[6]*a[15] + 
          504*a[2]^5*(a[7]*a[9] + 
            10*a[1]*a[6]*a[10] + 
            715*a[1]^7*a[15]) + 
          20*a[5]*(3*a[6]^3 + 
            a[8]*a[9] + 56*a[1]^3*a[8]*
             a[9] + 126*a[1]^4*a[8]*
             a[9] + 42*a[2]^6*a[10] + 
            a[7]*a[10] + 21*a[1]^2*a[7]*
             a[10] + 252*a[1]^5*a[7]*
             a[10] + 1386*a[1]^2*a[2]^5*
             a[11] + a[6]*(56*a[2]^3*a[
             8] + 756*a[1]^2*a[2]^2*a[
             9] + 6*(1 + 210*a[1]^4)*a[
             2]*a[10] + (1 + 6*a[1] + 
             462*a[1]^6)*a[11]) + 
            6930*a[1]^4*a[2]^4*a[12] + 
            12012*a[1]^6*a[2]^3*a[13] + 
            21*a[2]^2*((1 + 8*a[1])*a[7]*
             a[8] + 429*a[1]^8*a[14]) + 
            a[2]*(168*a[1]^2*a[8]^2 + 
             42*a[1]*a[7]*a[9] + 
             504*a[1]^3*a[7]*a[9] + 
             a[15] + 3003*a[1]^10*a[
             15]) + a[1]*a[16] + 
            364*a[1]^12*a[16]) + 
          280*a[2]^4*((1 + 9*a[1])*a[8]*
             a[9] + 5*a[1]^2*
             (9*a[7]*a[10] + 33*a[1]*a[
             6]*a[11] + 286*a[1]^7*a[
             16])) + 140*a[2]^3*
           (36*a[1]^2*a[9]^2 + 
            8*a[1]*a[8]*a[10] + 
            120*a[1]^3*a[8]*a[10] + 
            a[7]*a[11] + 330*a[1]^4*a[7]*
             a[11] + 792*a[1]^5*a[6]*
             a[12] + 1768*a[1]^11*
             a[17]) + 60*a[2]^2*
           (28*a[1]*a[6]^2*a[8] + 
            a[6]*(7*a[7]^2 + (1 + 
             1716*a[1]^7)*a[13]) + 
            7*a[1]*(12*a[1]^2*a[9]*a[
             10] + 30*a[1]^3*a[9]*a[
             10] + 4*a[1]*a[8]*a[11] + 
             66*a[1]^4*a[8]*a[11] + 
             a[7]*a[12] + 132*a[1]^5*a[
             7]*a[12] + 204*a[1]^12*a[
             18])) + 4*a[2]*
           (30*a[6]*(a[7]*a[8] + 
             a[6]*a[9]) + 1260*a[1]^5*
             a[10]^2 + 630*a[1]^4*a[9]*
             a[11] + 2310*a[1]^6*a[9]*
             a[11] + 3960*a[1]^7*a[8]*
             a[12] + 140*a[1]^3*
             (9*a[6]^2*a[9] + 2*a[8]*a[
             12]) + 6435*a[1]^8*a[7]*
             a[13] + 105*a[1]^2*a[7]*
             (8*a[6]*a[8] + a[13]) + 
            10010*a[1]^9*a[6]*a[14] + 
            15*a[1]*(7*a[7]^3 + 
             14*a[6]*a[7]*a[8] + 
             2*a[6]*a[14]) + 
            3876*a[1]^15*a[19]) + 
          3*a[20] + 1140*a[1]^17*
           a[20]) + a[4]^2*
         (10*a[5]*a[6]^3 + 180*a[1]*a[5]*
           a[6]^3 + 60*a[5]^2*a[6]*
           a[7] + 180*a[1]*a[5]^2*a[6]*
           a[7] + 630*a[1]^2*a[5]^2*a[6]*
           a[7] + 28*a[3]^6*a[8] + 
          30*a[5]^3*a[8] + 560*a[1]^3*
           a[5]^3*a[8] + 12*a[7]^2*
           a[8] + 420*a[1]^3*a[7]^2*
           a[8] + 420*a[1]^4*a[7]^2*
           a[8] + 12*a[6]*a[8]^2 + 
          90*a[1]^2*a[6]*a[8]^2 + 
          840*a[1]^4*a[6]*a[8]^2 + 
          24*a[6]*a[7]*a[9] + 180*a[1]^2*
           a[6]*a[7]*a[9] + 420*a[1]^3*
           a[6]*a[7]*a[9] + 1512*a[1]^5*
           a[6]*a[7]*a[9] + 24*a[5]*a[8]*
           a[9] + 60*a[1]*a[5]*a[8]*
           a[9] + 840*a[1]^4*a[5]*a[8]*
           a[9] + 1512*a[1]^5*a[5]*a[8]*
           a[9] + 12*a[6]^2*a[10] + 
          180*a[1]^2*a[6]^2*a[10] + 
          1260*a[1]^6*a[6]^2*a[10] + 
          24*a[5]*a[7]*a[10] + 
          60*a[1]*a[5]*a[7]*a[10] + 
          420*a[1]^3*a[5]*a[7]*a[10] + 
          2520*a[1]^6*a[5]*a[7]*a[10] + 
          504*a[3]^5*(3*a[1]*a[2]*a[9] + 
            5*a[1]^3*a[10]) + 55*a[2]^9*
           a[11] + 24*a[5]*a[6]*a[11] + 
          60*a[1]*a[5]*a[6]*a[11] + 
          180*a[1]^2*a[5]*a[6]*a[11] + 
          3960*a[1]^7*a[5]*a[6]*a[11] + 
          24*a[1]*a[10]*a[11] + 
          360*a[1]^7*a[10]*a[11] + 
          495*a[1]^8*a[10]*a[11] + 
          2970*a[1]^2*a[2]^8*a[12] + 
          12*a[5]^2*a[12] + 60*a[1]*
           a[5]^2*a[12] + 2970*a[1]^8*
           a[5]^2*a[12] + 24*a[1]*a[9]*
           a[12] + 252*a[1]^6*a[9]*
           a[12] + 660*a[1]^9*a[9]*
           a[12] + 105*a[3]^4*
           (a[6]*a[7] + 2*(4*a[1]*a[5]*a[
             8] + 6*a[2]^3*a[9] + 
             90*a[1]^2*a[2]^2*a[10] + 
             165*a[1]^4*a[2]*a[11] + 
             66*a[1]^6*a[12])) + 
          25740*a[1]^4*a[2]^7*a[13] + 
          24*a[1]*a[8]*a[13] + 
          168*a[1]^5*a[8]*a[13] + 
          858*a[1]^10*a[8]*a[13] + 
          24*a[1]*a[7]*a[14] + 
          105*a[1]^4*a[7]*a[14] + 
          1092*a[1]^11*a[7]*a[14] + 
          84*a[2]^6*(3*a[6]*a[9] + 
            30*a[1]*a[5]*a[10] + 
            1001*a[1]^6*a[14]) + 
          20*a[3]^3*(21*a[1]*a[7]*a[8] + 
            84*a[1]^2*a[7]*a[8] + 
            3*a[6]*a[9] + 252*a[1]^3*
             a[6]*a[9] + 630*a[1]*a[2]^4*
             a[10] + 630*a[1]^4*a[5]*
             a[10] + 4620*a[1]^3*a[2]^3*
             a[11] + 84*a[2]^2*
             (a[5]*a[8] + 99*a[1]^5*a[
             12]) + 3*a[2]*(7*a[7]^2 + 
             4*a[1]*(14*a[6]*a[8] + 
             63*a[1]*a[5]*a[9] + 429*
             a[1]^6*a[13])) + 
            1001*a[1]^9*a[14]) + 
          24*a[1]*a[6]*a[15] + 
          60*a[1]^3*a[6]*a[15] + 
          1365*a[1]^12*a[6]*a[15] + 
          21*a[2]^5*(8*a[8]^2 + 
            3*a[1]*(24*a[7]*a[9] + 
             5*a[1]*(24*a[6]*a[10] + 
             88*a[1]*a[5]*a[11] + 
             429*a[1]^6*a[15]))) + 
          24*a[1]*a[5]*a[16] + 
          30*a[1]^2*a[5]*a[16] + 
          1680*a[1]^13*a[5]*a[16] + 
          105*a[2]^4*(4*a[5]^2*a[8] + 
            8*a[1]*a[8]*a[9] + 36*a[1]^2*
             a[8]*a[9] + a[7]*a[10] + 
            120*a[1]^3*a[7]*a[10] + 
            330*a[1]^4*a[6]*a[11] + 
            792*a[1]^5*a[5]*a[12] + 
            1144*a[1]^10*a[16]) + 
          6*a[3]^2*(15*a[6]^3 + 
            420*a[1]^2*a[5]^2*a[8] + 
            280*a[1]^3*a[8]*a[9] + 
            630*a[1]^4*a[8]*a[9] + 
            210*a[2]^6*a[10] + 
            105*a[1]^2*a[7]*a[10] + 
            1260*a[1]^5*a[7]*a[10] + 
            6930*a[1]^2*a[2]^5*a[11] + 
            10*a[6]*(3*(1 + 7*a[1])*a[5]*
             a[7] + 28*a[2]^3*a[8] + 
             378*a[1]^2*a[2]^2*a[9] + 
             3*(1 + 210*a[1]^4)*a[2]*a[
             10] + 3*a[1]*(1 + 77*a[1]^
             5)*a[11]) + 34650*a[1]^4*
             a[2]^4*a[12] + 5*a[5]*
             a[12] + 3960*a[1]^7*a[5]*
             a[12] + 420*a[2]^3*
             (6*a[1]*a[5]*a[9] + 
             143*a[1]^6*a[13]) + 
            105*a[2]^2*((1 + 8*a[1])*a[
             7]*a[8] + 120*a[1]^3*a[5]*a[
             10] + 429*a[1]^8*a[14]) + 
            105*a[2]*(a[5]^2*a[7] + 
             132*a[1]^5*a[5]*a[11] + 
             a[1]*(8*a[1]*a[8]^2 + 
             2*a[7]*a[9] + 24*a[1]^2*
             a[7]*a[9] + 143*a[1]^9*
             a[15])) + 2*a[16] + 
            1820*a[1]^12*a[16]) + 
          10*a[2]^3*(21*a[6]^2*a[7] + 
            6*a[6]*(56*a[1]*a[5]*a[8] + 
             a[12] + 924*a[1]^6*a[12]) + 
            2*(378*a[1]^2*a[5]^2*a[9] + 
             3*a[5]*(7*a[7]^2 + 1716*
             a[1]^7*a[13]) + 7*a[1]*(
             36*a[1]^2*a[9]^2 + 12*a[1]*
             a[8]*a[10] + 90*a[1]^3*a[8]*
             a[10] + 3*a[7]*a[11] + 
             198*a[1]^4*a[7]*a[11] + 
             442*a[1]^11*a[17]))) + 
          6*a[2]^2*(30*(1 + 14*a[1]^2)*
             a[6]^2*a[8] + 210*a[1]*a[5]*
             a[7]*a[8] + 1260*a[1]^5*
             a[9]*a[10] + 630*a[1]^4*
             (5*a[5]^2 + a[9])*a[10] + 
            280*a[1]^3*a[8]*a[11] + 
            2310*a[1]^6*a[8]*a[11] + 
            3960*a[1]^7*a[7]*a[12] + 
            105*a[1]^2*a[7]*
             (8*a[5]*a[8] + a[12]) + 
            15*a[6]*((1 + 14*a[1])*a[7]^
             2 + 2*(1 + 84*a[1]^3)*a[5]*
             a[9] + a[1]*(2 + 429*a[1]^
             7)*a[13]) + 5*a[5]*a[14] + 
            10010*a[1]^9*a[5]*a[14] + 
            2*a[18] + 3060*a[1]^14*
             a[18]) + 3*a[3]*
           (20*a[5]^3*a[6] + 60*a[1]*
             a[6]*a[7]^2 + 420*a[1]^2*
             a[6]*a[7]^2 + 120*a[1]*
             a[6]^2*a[8] + 560*a[1]^3*
             a[6]^2*a[8] + 8*a[9]*
             a[10] + 504*a[1]^5*a[9]*
             a[10] + 840*a[1]^6*a[9]*
             a[10] + 20*a[5]^2*
             (84*a[1]*a[2]^2*a[8] + 
             252*a[1]^3*a[2]*a[9] + 
             a[10] + 126*a[1]^5*a[10]) + 
            1320*a[1]*a[2]^7*a[11] + 
            8*a[8]*a[11] + 280*a[1]^4*
             a[8]*a[11] + 1320*a[1]^7*
             a[8]*a[11] + 18480*a[1]^3*
             a[2]^6*a[12] + 8*a[7]*
             a[12] + 140*a[1]^3*a[7]*
             a[12] + 1980*a[1]^8*a[7]*
             a[12] + 72072*a[1]^5*a[2]^5*
             a[13] + 8*a[6]*a[13] + 
            60*a[1]^2*a[6]*a[13] + 
            2860*a[1]^9*a[6]*a[13] + 
            280*a[2]^4*(a[7]*a[8] + 
             9*a[1]*a[6]*a[9] + 429*a[1]^
             7*a[14]) + 4*a[5]*
             (5*(1 + 21*a[1]^2 + 
             56*a[1]^3)*a[7]*a[8] + 
             126*a[2]^5*a[9] + 5*a[6]*a[
             9] + 30*a[1]*a[6]*a[9] + 
             630*a[1]^4*a[6]*a[9] + 
             3150*a[1]^2*a[2]^4*a[10] + 
             11550*a[1]^4*a[2]^3*a[11] + 
             105*a[2]^2*(a[6]*a[7] + 
             132*a[1]^6*a[12]) + 
             5*a[2]*(42*a[1]*a[7]^2 + 
             6*a[6]*a[8] + 168*a[1]^2*
             a[6]*a[8] + a[13] + 1287*
             a[1]^8*a[13]) + 2*a[14] + 
             5*a[1]*a[14] + 1001*a[1]^10*
             a[14]) + 140*a[2]^3*
             (8*a[1]*a[8]^2 + a[7]*a[
             9] + 36*a[1]^2*a[7]*a[9] + 
             120*a[1]^3*a[6]*a[10] + 
             715*a[1]^9*a[15]) + 
            60*a[2]^2*(28*a[1]^2*a[8]*a[
             9] + 84*a[1]^3*a[8]*a[9] + 
             7*a[1]*a[7]*a[10] + 
             210*a[1]^4*a[7]*a[10] + 
             a[6]*a[11] + 462*a[1]^5*a[
             6]*a[11] + 728*a[1]^11*a[
             16]) + 4*a[2]*(15*(2 + 
             7*a[1])*a[6]^2*a[7] + 
             630*a[1]^4*a[9]^2 + 
             280*a[1]^3*a[8]*a[10] + 
             1260*a[1]^5*a[8]*a[10] + 
             105*a[1]^2*a[7]*a[11] + 
             2310*a[1]^6*a[7]*a[11] + 
             30*a[1]*(1 + 132*a[1]^6)*a[
             6]*a[12] + 2*a[17] + 
             2380*a[1]^13*a[17]) + 
            a[18] + 8*a[1]*a[18] + 
            816*a[1]^15*a[18]) + 
          3*a[2]*(140*a[1]*a[5]^3*a[7] + 
            840*a[1]^6*a[10]^2 + 
            504*a[1]^5*a[9]*a[11] + 
            1320*a[1]^7*a[9]*a[11] + 
            20*a[5]^2*(3*a[6]^2 + 
             (1 + 231*a[1]^6)*a[11]) + 
            1980*a[1]^8*a[8]*a[12] + 
            140*a[1]^4*(9*a[6]^2*a[9] + 
             2*a[8]*a[12]) + 2860*a[1]^9*
             a[7]*a[13] + 140*a[1]^3*
             a[7]*(8*a[6]*a[8] + 
             a[13]) + 4004*a[1]^10*a[6]*
             a[14] + 30*a[1]^2*
             (7*a[7]^3 + 14*a[6]*a[7]*a[
             8] + 2*a[6]*a[14]) + 
            4*(a[10]^2 + 2*(a[9]*a[11] + 
             a[8]*a[12] + a[7]*a[13] + 
             a[6]*a[14])) + 2*a[5]*
             ((5 + 560*a[1]^3)*a[8]^2 + 
             2*(5*(1 + 21*a[1]^2 + 
             126*a[1]^4)*a[7]*a[9] + 
             5*(1 + 6*a[1] + 252*a[1]^5)*
             a[6]*a[10] + (2 + 5*a[1] + 
             1365*a[1]^11)*a[15])) + 
            969*a[1]^16*a[19] + 
            8*a[1]*(15*a[6]*a[7]*a[8] + 
             15*a[6]^2*a[9] + a[19])) + 
          12*a[1]^2*a[20] + 190*a[1]^18*
           a[20]) + 20349*a[1]^16*a[2]^5*
         a[21] + 2*a[2]*a[5]*a[21] + 
        20*a[1]^3*a[2]*a[5]*a[21] + 
        420*a[1]^19*a[2]*a[5]*a[21] + 
        6*a[1]^5*a[6]*a[21] + 
        21*a[1]^20*a[6]*a[21] + 
        7315*a[1]^18*a[2]^4*a[22] + 
        5*a[1]^4*a[5]*a[22] + 
        22*a[1]^21*a[5]*a[22] + 
        3*a[3]^2*(5*a[5]^4*a[6] + 
          60*a[1]*a[6]^3*a[7] + 
          70*a[1]^2*a[6]^3*a[7] + 
          140*a[1]^4*a[8]^3 + 140*a[1]^3*
           a[7]*a[8]*a[9] + 280*a[1]^4*
           a[7]*a[8]*a[9] + 504*a[1]^5*
           a[7]*a[8]*a[9] + 30*a[1]^2*
           a[6]*a[9]^2 + 504*a[1]^5*a[6]*
           a[9]^2 + 140*a[1]^3*a[7]^2*
           a[10] + 420*a[1]^6*a[7]^2*
           a[10] + 60*a[1]^2*a[6]*a[8]*
           a[10] + 280*a[1]^4*a[6]*a[8]*
           a[10] + 840*a[1]^6*a[6]*a[8]*
           a[10] + 10*a[5]^3*
           (56*a[1]*a[2]^2*a[8] + 
            168*a[1]^3*a[2]*a[9] + 
            a[10] + 84*a[1]^5*a[10]) + 
          60*a[1]^2*a[6]*a[7]*a[11] + 
          140*a[1]^3*a[6]*a[7]*a[11] + 
          1320*a[1]^7*a[6]*a[7]*a[11] + 
          22*a[2]^10*a[12] + 60*a[1]^2*
           a[6]^2*a[12] + 990*a[1]^8*
           a[6]^2*a[12] + 2*a[11]*
           a[12] + 165*a[1]^8*a[11]*
           a[12] + 220*a[1]^9*a[11]*
           a[12] + 1430*a[1]^2*a[2]^9*
           a[13] + 2*a[10]*a[13] + 
          120*a[1]^7*a[10]*a[13] + 
          286*a[1]^10*a[10]*a[13] + 
          15015*a[1]^4*a[2]^8*a[14] + 
          2*a[9]*a[14] + 84*a[1]^6*a[9]*
           a[14] + 364*a[1]^11*a[9]*
           a[14] + 2*a[5]^2*
           (5*(2 + 21*a[1]^2 + 56*a[1]^
             3)*a[7]*a[8] + 126*a[2]^5*
             a[9] + 10*a[6]*a[9] + 
            30*a[1]*a[6]*a[9] + 
            630*a[1]^4*a[6]*a[9] + 
            3150*a[1]^2*a[2]^4*a[10] + 
            11550*a[1]^4*a[2]^3*a[11] + 
            105*a[2]^2*(a[6]*a[7] + 
             132*a[1]^6*a[12]) + 
            5*a[2]*(42*a[1]*a[7]^2 + 
             6*a[6]*a[8] + 168*a[1]^2*a[
             6]*a[8] + 2*a[13] + 
             1287*a[1]^8*a[13]) + 
            10*a[1]*a[14] + 1001*a[1]^10*
             a[14]) + 2*a[8]*a[15] + 
          56*a[1]^5*a[8]*a[15] + 
          455*a[1]^12*a[8]*a[15] + 
          60*a[2]^7*(2*a[6]*a[10] + 
            1001*a[1]^6*a[15]) + 
          2*a[7]*a[16] + 35*a[1]^4*a[7]*
           a[16] + 560*a[1]^13*a[7]*
           a[16] + 84*a[2]^6*
           (a[8]*a[9] + 5*a[1]*
             (2*a[7]*a[10] + 11*a[1]*a[
             6]*a[11] + 286*a[1]^7*a[
             16])) + 2*a[6]*a[17] + 
          20*a[1]^3*a[6]*a[17] + 
          680*a[1]^14*a[6]*a[17] + 
          56*a[2]^5*(9*a[1]*a[9]^2 + 
            a[8]*a[10] + 45*a[1]^2*a[8]*
             a[10] + 165*a[1]^3*a[7]*
             a[11] + 495*a[1]^4*a[6]*
             a[12] + 2431*a[1]^10*
             a[17]) + 35*a[2]^4*
           (4*a[6]^2*a[8] + 36*a[1]^2*
             a[9]*a[10] + 120*a[1]^3*
             a[9]*a[10] + 8*a[1]*a[8]*
             a[11] + 330*a[1]^4*a[8]*
             a[11] + a[7]*a[12] + 
            792*a[1]^5*a[7]*a[12] + 
            1716*a[1]^6*a[6]*a[13] + 
            2652*a[1]^12*a[18]) + 
          2*a[5]*(5*(1 + 12*a[1] + 
             56*a[1]^3)*a[6]^2*a[8] + 
            10*a[1]*a[9]*a[10] + 
            252*a[1]^5*a[9]*a[10] + 
            420*a[1]^6*a[9]*a[10] + 
            660*a[1]*a[2]^7*a[11] + 
            10*a[1]*a[8]*a[11] + 
            140*a[1]^4*a[8]*a[11] + 
            660*a[1]^7*a[8]*a[11] + 
            9240*a[1]^3*a[2]^6*a[12] + 
            10*a[1]*a[7]*a[12] + 
            70*a[1]^3*a[7]*a[12] + 
            990*a[1]^8*a[7]*a[12] + 
            36036*a[1]^5*a[2]^5*a[13] + 
            5*a[6]*((1 + 6*a[1] + 
             42*a[1]^2)*a[7]^2 + 
             2*a[1]*(1 + 3*a[1] + 
             143*a[1]^8)*a[13]) + 
            140*a[2]^4*(a[7]*a[8] + 
             9*a[1]*a[6]*a[9] + 429*a[1]^
             7*a[14]) + 70*a[2]^3*
             (8*a[1]*a[8]^2 + a[7]*a[
             9] + 36*a[1]^2*a[7]*a[9] + 
             120*a[1]^3*a[6]*a[10] + 
             715*a[1]^9*a[15]) + 
            5*a[2]^2*(168*a[1]^2*a[8]*a[
             9] + 504*a[1]^3*a[8]*a[9] + 
             42*a[1]*a[7]*a[10] + 
             1260*a[1]^4*a[7]*a[10] + 
             6*a[6]*a[11] + 2772*a[1]^5*
             a[6]*a[11] + a[16] + 
             4368*a[1]^11*a[16]) + 
            5*a[2]*(6*(2 + 7*a[1])*a[6]^
             2*a[7] + (1 + 252*a[1]^4)*
             a[9]^2 + 2*(1 + 6*a[1] + 
             792*a[1]^7)*a[6]*a[12] + 
             2*((1 + 56*a[1]^3 + 252*
             a[1]^5)*a[8]*a[10] + 
             (1 + 21*a[1]^2 + 462*a[1]^
             6)*a[7]*a[11] + a[1]*(1 + 
             476*a[1]^12)*a[17])) + 
            a[18] + 5*a[1]^2*a[18] + 
            408*a[1]^15*a[18]) + 
          10*a[2]^3*(7*a[7]^3 + 
            2*a[7]*(7*(1 + 8*a[1])*a[6]*
             a[8] + a[1]*(7 + 1716*
             a[1]^6)*a[13]) + 
            2*(210*a[1]^4*a[10]^2 + 
             84*a[1]^3*a[9]*a[11] + 
             462*a[1]^5*a[9]*a[11] + 
             924*a[1]^6*a[8]*a[12] + 
             14*a[1]^2*(9*a[6]^2*a[9] + 
             2*a[8]*a[12]) + a[6]*a[
             14] + 3003*a[1]^8*a[6]*a[
             14] + 1938*a[1]^14*a[
             19])) + 10*a[2]^2*
           (3*a[6]*(a[8]^2 + 2*a[7]*a[
             9] + 2*a[6]*a[10]) + 
            252*a[1]^5*a[10]*a[11] + 
            462*a[1]^6*a[10]*a[11] + 
            792*a[1]^7*a[9]*a[12] + 
            126*a[1]^4*(5*a[6]^2*a[10] + 
             a[9]*a[12]) + 1287*a[1]^8*
             a[8]*a[13] + 56*a[1]^3*
             (9*a[6]*a[7]*a[9] + 
             a[8]*a[13]) + 2002*a[1]^9*
             a[7]*a[14] + 21*a[1]^2*
             (4*a[7]^2*a[8] + 8*a[6]*
             a[8]^2 + a[7]*a[14]) + 
            3003*a[1]^10*a[6]*a[15] + 
            6*a[1]*(7*a[7]^2*a[8] + 
             7*a[6]*a[7]*a[9] + a[6]*a[
             15]) + 969*a[1]^16*a[20]) + 
          2*a[2]*(10*a[6]^4 + 105*a[1]^2*
             a[7]*(a[8]^2 + 2*a[7]*a[
             9]) + 30*a[1]*(2 + 77*a[1]^
             5)*a[6]^2*a[11] + 
            660*a[1]^7*a[11]^2 + 
            420*a[1]^6*a[10]*a[12] + 
            990*a[1]^8*a[10]*a[12] + 
            252*a[1]^5*a[9]*a[13] + 
            1430*a[1]^9*a[9]*a[13] + 
            2002*a[1]^10*a[8]*a[14] + 
            70*a[1]^4*(9*a[7]^2*a[9] + 
             2*a[8]*a[14]) + 
            2730*a[1]^11*a[7]*a[15] + 
            70*a[1]^3*a[7]*(8*a[8]^2 + 
             a[15]) + 10*a[1]*a[6]*
             (2*(3 + 28*a[1]^2 + 
             63*a[1]^3)*a[8]*a[9] + 
             3*(2 + 7*a[1] + 84*a[1]^4)*
             a[7]*a[10] + a[1]*(3 + 
             364*a[1]^10)*a[16]) + 
            a[21] + 665*a[1]^18*a[21]) + 
          2*a[1]*a[22] + 77*a[1]^20*
           a[22]) + 1771*a[1]^20*a[2]^3*
         a[23] + a[4]*(180*a[3]^2*a[5]^2*
           a[6]^2 + 30*a[5]^3*a[6]^2 + 
          120*a[1]*a[5]^3*a[6]^2 + 
          120*a[1]*a[3]*a[6]^4 + 
          105*a[3]^4*a[5]^2*a[7] + 
          420*a[1]*a[3]^2*a[5]^3*a[7] + 
          20*a[5]^4*a[7] + 105*a[1]^2*
           a[5]^4*a[7] + 120*a[3]^3*
           a[6]^2*a[7] + 420*a[1]*a[3]^3*
           a[6]^2*a[7] + 60*a[3]*a[5]*
           a[6]^2*a[7] + 720*a[1]*a[3]*
           a[5]*a[6]^2*a[7] + 
          1260*a[1]^2*a[3]*a[5]*a[6]^2*
           a[7] + 42*a[3]^5*a[7]^2 + 
          840*a[1]*a[3]^3*a[5]*a[7]^2 + 
          60*a[3]*a[5]^2*a[7]^2 + 
          1260*a[1]^2*a[3]*a[5]^2*
           a[7]^2 + 6*a[6]^2*a[7]^2 + 
          180*a[1]^2*a[6]^2*a[7]^2 + 
          420*a[1]^3*a[6]^2*a[7]^2 + 
          630*a[1]^2*a[3]^2*a[7]^3 + 
          4*a[5]*a[7]^3 + 20*a[1]*a[5]*
           a[7]^3 + 420*a[1]^3*a[5]*
           a[7]^3 + 336*a[1]*a[3]^5*a[6]*
           a[8] + 120*a[3]^3*a[5]*a[6]*
           a[8] + 3360*a[1]^2*a[3]^3*
           a[5]*a[6]*a[8] + 120*a[3]*
           a[5]^2*a[6]*a[8] + 
          360*a[1]*a[3]*a[5]^2*a[6]*
           a[8] + 3360*a[1]^3*a[3]*
           a[5]^2*a[6]*a[8] + 
          4*a[6]^3*a[8] + 180*a[1]^2*
           a[6]^3*a[8] + 280*a[1]^4*
           a[6]^3*a[8] + 360*a[1]*a[3]^2*
           a[6]*a[7]*a[8] + 1260*a[1]^2*
           a[3]^2*a[6]*a[7]*a[8] + 
          3360*a[1]^3*a[3]^2*a[6]*a[7]*
           a[8] + 24*a[5]*a[6]*a[7]*
           a[8] + 120*a[1]*a[5]*a[6]*
           a[7]*a[8] + 360*a[1]^2*a[5]*
           a[6]*a[7]*a[8] + 840*a[1]^3*
           a[5]*a[6]*a[7]*a[8] + 
          1680*a[1]^4*a[5]*a[6]*a[7]*
           a[8] + 840*a[1]^2*a[3]^4*
           a[8]^2 + 30*a[3]^2*a[5]*
           a[8]^2 + 3360*a[1]^3*a[3]^2*
           a[5]*a[8]^2 + 6*a[5]^2*
           a[8]^2 + 60*a[1]*a[5]^2*
           a[8]^2 + 840*a[1]^4*a[5]^2*
           a[8]^2 + 12*a[3]*a[7]*
           a[8]^2 + 420*a[1]^3*a[3]*a[7]*
           a[8]^2 + 1680*a[1]^4*a[3]*
           a[7]*a[8]^2 + 72*a[1]*a[3]^7*
           a[9] + 1512*a[1]^2*a[3]^5*
           a[5]*a[9] + 5040*a[1]^3*
           a[3]^3*a[5]^2*a[9] + 
          60*a[3]*a[5]^3*a[9] + 
          2520*a[1]^4*a[3]*a[5]^3*a[9] + 
          360*a[1]*a[3]^2*a[6]^2*a[9] + 
          3780*a[1]^4*a[3]^2*a[6]^2*
           a[9] + 12*a[5]*a[6]^2*a[9] + 
          60*a[1]*a[5]*a[6]^2*a[9] + 
          360*a[1]^2*a[5]*a[6]^2*a[9] + 
          1512*a[1]^5*a[5]*a[6]^2*a[9] + 
          210*a[1]*a[3]^4*a[7]*a[9] + 
          2520*a[1]^3*a[3]^4*a[7]*a[9] + 
          60*a[3]^2*a[5]*a[7]*a[9] + 
          1260*a[1]^2*a[3]^2*a[5]*a[7]*
           a[9] + 7560*a[1]^4*a[3]^2*
           a[5]*a[7]*a[9] + 12*a[5]^2*
           a[7]*a[9] + 120*a[1]*a[5]^2*
           a[7]*a[9] + 420*a[1]^3*a[5]^2*
           a[7]*a[9] + 1512*a[1]^5*
           a[5]^2*a[7]*a[9] + 
          12*a[3]*a[7]^2*a[9] + 
          840*a[1]^3*a[3]*a[7]^2*a[9] + 
          1512*a[1]^5*a[3]*a[7]^2*a[9] + 
          24*a[3]*a[6]*a[8]*a[9] + 
          360*a[1]^2*a[3]*a[6]*a[8]*
           a[9] + 1680*a[1]^4*a[3]*a[6]*
           a[8]*a[9] + 3024*a[1]^5*a[3]*
           a[6]*a[8]*a[9] + 12*a[1]*
           a[8]^2*a[9] + 336*a[1]^5*
           a[8]^2*a[9] + 252*a[1]^6*
           a[8]^2*a[9] + 2520*a[1]^4*
           a[3]^3*a[9]^2 + 12*a[3]*a[5]*
           a[9]^2 + 60*a[1]*a[3]*a[5]*
           a[9]^2 + 3024*a[1]^5*a[3]*
           a[5]*a[9]^2 + 12*a[1]*a[7]*
           a[9]^2 + 105*a[1]^4*a[7]*
           a[9]^2 + 504*a[1]^6*a[7]*
           a[9]^2 + 30*a[3]^4*a[6]*
           a[10] + 6300*a[1]^4*a[3]^4*
           a[6]*a[10] + 60*a[3]^2*a[5]*
           a[6]*a[10] + 360*a[1]*a[3]^2*
           a[5]*a[6]*a[10] + 
          15120*a[1]^5*a[3]^2*a[5]*a[6]*
           a[10] + 12*a[5]^2*a[6]*
           a[10] + 120*a[1]*a[5]^2*a[6]*
           a[10] + 180*a[1]^2*a[5]^2*
           a[6]*a[10] + 2520*a[1]^6*
           a[5]^2*a[6]*a[10] + 
          24*a[3]*a[6]*a[7]*a[10] + 
          360*a[1]^2*a[3]*a[6]*a[7]*
           a[10] + 840*a[1]^3*a[3]*a[6]*
           a[7]*a[10] + 5040*a[1]^6*a[3]*
           a[6]*a[7]*a[10] + 1120*a[1]^3*
           a[3]^3*a[8]*a[10] + 
          5040*a[1]^5*a[3]^3*a[8]*
           a[10] + 24*a[3]*a[5]*a[8]*
           a[10] + 120*a[1]*a[3]*a[5]*
           a[8]*a[10] + 1680*a[1]^4*a[3]*
           a[5]*a[8]*a[10] + 5040*a[1]^6*
           a[3]*a[5]*a[8]*a[10] + 
          24*a[1]*a[7]*a[8]*a[10] + 
          210*a[1]^4*a[7]*a[8]*a[10] + 
          336*a[1]^5*a[7]*a[8]*a[10] + 
          720*a[1]^7*a[7]*a[8]*a[10] + 
          24*a[1]*a[6]*a[9]*a[10] + 
          120*a[1]^3*a[6]*a[9]*a[10] + 
          504*a[1]^6*a[6]*a[9]*a[10] + 
          720*a[1]^7*a[6]*a[9]*a[10] + 
          6*a[3]^2*a[10]^2 + 2520*a[1]^6*
           a[3]^2*a[10]^2 + 12*a[1]*a[5]*
           a[10]^2 + 30*a[1]^2*a[5]*
           a[10]^2 + 720*a[1]^7*a[5]*
           a[10]^2 + 2310*a[1]^4*a[3]^6*
           a[11] + 13860*a[1]^5*a[3]^4*
           a[5]*a[11] + 60*a[3]^2*a[5]^2*
           a[11] + 13860*a[1]^6*a[3]^2*
           a[5]^2*a[11] + 4*a[5]^3*
           a[11] + 60*a[1]*a[5]^3*
           a[11] + 1320*a[1]^7*a[5]^3*
           a[11] + 12*a[3]*a[6]^2*
           a[11] + 360*a[1]^2*a[3]*
           a[6]^2*a[11] + 3960*a[1]^7*
           a[3]*a[6]^2*a[11] + 
          420*a[1]^2*a[3]^3*a[7]*a[11] + 
          9240*a[1]^6*a[3]^3*a[7]*
           a[11] + 24*a[3]*a[5]*a[7]*
           a[11] + 120*a[1]*a[3]*a[5]*
           a[7]*a[11] + 840*a[1]^3*a[3]*
           a[5]*a[7]*a[11] + 7920*a[1]^7*
           a[3]*a[5]*a[7]*a[11] + 
          12*a[1]*a[7]^2*a[11] + 
          210*a[1]^4*a[7]^2*a[11] + 
          495*a[1]^8*a[7]^2*a[11] + 
          24*a[1]*a[6]*a[8]*a[11] + 
          120*a[1]^3*a[6]*a[8]*a[11] + 
          336*a[1]^5*a[6]*a[8]*a[11] + 
          990*a[1]^8*a[6]*a[8]*a[11] + 
          12*a[3]^2*a[9]*a[11] + 
          1512*a[1]^5*a[3]^2*a[9]*
           a[11] + 3960*a[1]^7*a[3]^2*
           a[9]*a[11] + 24*a[1]*a[5]*
           a[9]*a[11] + 60*a[1]^2*a[5]*
           a[9]*a[11] + 504*a[1]^6*a[5]*
           a[9]*a[11] + 990*a[1]^8*a[5]*
           a[9]*a[11] + 3*a[3]*a[11]^2 + 
          12*a[1]*a[3]*a[11]^2 + 
          990*a[1]^8*a[3]*a[11]^2 + 
          12*a[2]^11*a[12] + 120*a[1]*
           a[3]^3*a[6]*a[12] + 
          15840*a[1]^7*a[3]^3*a[6]*
           a[12] + 24*a[3]*a[5]*a[6]*
           a[12] + 120*a[1]*a[3]*a[5]*
           a[6]*a[12] + 360*a[1]^2*a[3]*
           a[5]*a[6]*a[12] + 
          11880*a[1]^8*a[3]*a[5]*a[6]*
           a[12] + 24*a[1]*a[6]*a[7]*
           a[12] + 120*a[1]^3*a[6]*a[7]*
           a[12] + 210*a[1]^4*a[6]*a[7]*
           a[12] + 1320*a[1]^9*a[6]*a[7]*
           a[12] + 12*a[3]^2*a[8]*
           a[12] + 840*a[1]^4*a[3]^2*
           a[8]*a[12] + 5940*a[1]^8*
           a[3]^2*a[8]*a[12] + 
          24*a[1]*a[5]*a[8]*a[12] + 
          60*a[1]^2*a[5]*a[8]*a[12] + 
          336*a[1]^5*a[5]*a[8]*a[12] + 
          1320*a[1]^9*a[5]*a[8]*a[12] + 
          6*a[3]*a[10]*a[12] + 
          24*a[1]*a[3]*a[10]*a[12] + 
          720*a[1]^7*a[3]*a[10]*a[12] + 
          1320*a[1]^9*a[3]*a[10]*a[12] + 
          6*a[1]^2*a[12]^2 + 132*a[1]^10*
           a[12]^2 + 858*a[1]^2*a[2]^10*
           a[13] + 10296*a[1]^7*a[3]^5*
           a[13] + 20*a[3]^3*a[5]*
           a[13] + 25740*a[1]^8*a[3]^3*
           a[5]*a[13] + 12*a[3]*a[5]^2*
           a[13] + 120*a[1]*a[3]*a[5]^2*
           a[13] + 8580*a[1]^9*a[3]*
           a[5]^2*a[13] + 12*a[1]*a[6]^2*
           a[13] + 120*a[1]^3*a[6]^2*
           a[13] + 858*a[1]^10*a[6]^2*
           a[13] + 12*a[3]^2*a[7]*
           a[13] + 420*a[1]^3*a[3]^2*
           a[7]*a[13] + 8580*a[1]^9*
           a[3]^2*a[7]*a[13] + 
          24*a[1]*a[5]*a[7]*a[13] + 
          60*a[1]^2*a[5]*a[7]*a[13] + 
          210*a[1]^4*a[5]*a[7]*a[13] + 
          1716*a[1]^10*a[5]*a[7]*a[13] + 
          6*a[3]*a[9]*a[13] + 
          24*a[1]*a[3]*a[9]*a[13] + 
          504*a[1]^6*a[3]*a[9]*a[13] + 
          1716*a[1]^10*a[3]*a[9]*a[13] + 
          12*a[1]^2*a[11]*a[13] + 
          110*a[1]^9*a[11]*a[13] + 
          156*a[1]^11*a[11]*a[13] + 
          12*a[3]^2*a[6]*a[14] + 
          180*a[1]^2*a[3]^2*a[6]*a[14] + 
          12012*a[1]^10*a[3]^2*a[6]*
           a[14] + 24*a[1]*a[5]*a[6]*
           a[14] + 60*a[1]^2*a[5]*a[6]*
           a[14] + 120*a[1]^3*a[5]*a[6]*
           a[14] + 2184*a[1]^11*a[5]*
           a[6]*a[14] + 6*a[3]*a[8]*
           a[14] + 24*a[1]*a[3]*a[8]*
           a[14] + 336*a[1]^5*a[3]*a[8]*
           a[14] + 2184*a[1]^11*a[3]*
           a[8]*a[14] + 12*a[1]^2*a[10]*
           a[14] + 90*a[1]^8*a[10]*
           a[14] + 182*a[1]^12*a[10]*
           a[14] + 110*a[2]^9*
           (12*a[1]*a[3]*a[12] + 
            91*a[1]^4*a[14]) + 
          15015*a[1]^10*a[3]^4*a[15] + 
          12*a[3]^2*a[5]*a[15] + 
          60*a[1]*a[3]^2*a[5]*a[15] + 
          16380*a[1]^11*a[3]^2*a[5]*
           a[15] + 12*a[1]*a[5]^2*
           a[15] + 60*a[1]^2*a[5]^2*
           a[15] + 1365*a[1]^12*a[5]^2*
           a[15] + 6*a[3]*a[7]*a[15] + 
          24*a[1]*a[3]*a[7]*a[15] + 
          210*a[1]^4*a[3]*a[7]*a[15] + 
          2730*a[1]^12*a[3]*a[7]*a[15] + 
          12*a[1]^2*a[9]*a[15] + 
          72*a[1]^7*a[9]*a[15] + 
          210*a[1]^13*a[9]*a[15] + 
          45*a[2]^8*(2*a[6]*a[10] + 
            11*(a[3]^2*a[11] + 2*a[1]*a[
             5]*a[11] + 52*a[1]^3*a[3]*a[
             13] + 91*a[1]^6*a[15])) + 
          6*a[3]*a[6]*a[16] + 
          24*a[1]*a[3]*a[6]*a[16] + 
          120*a[1]^3*a[3]*a[6]*a[16] + 
          3360*a[1]^13*a[3]*a[6]*a[16] + 
          12*a[1]^2*a[8]*a[16] + 
          56*a[1]^6*a[8]*a[16] + 
          240*a[1]^14*a[8]*a[16] + 
          72*a[2]^7*(a[8]*a[9] + 
            330*a[1]^2*a[3]^2*a[12] + 
            2*a[3]*(5*a[5]*a[10] + 
             1001*a[1]^5*a[14]) + 
            5*a[1]*(2*a[7]*a[10] + 
             11*a[1]*(a[6]*a[11] + 
             4*a[1]*a[5]*a[12] + 
             26*a[1]^6*a[16]))) + 
          4*a[3]^3*a[17] + 9520*a[1]^13*
           a[3]^3*a[17] + 6*a[3]*a[5]*
           a[17] + 24*a[1]*a[3]*a[5]*
           a[17] + 60*a[1]^2*a[3]*a[5]*
           a[17] + 4080*a[1]^14*a[3]*
           a[5]*a[17] + 12*a[1]^2*a[7]*
           a[17] + 42*a[1]^5*a[7]*
           a[17] + 272*a[1]^15*a[7]*
           a[17] + 28*a[2]^6*
           (9*a[5]^2*a[9] + 330*a[1]*
             a[3]^3*a[11] + 6435*a[1]^4*
             a[3]^2*a[13] + 198*a[5]*
             (5*a[1]^2*a[3]*a[11] + 
             13*a[1]^5*a[13]) + 
            18*a[3]*(a[7]*a[9] + 
             10*a[1]*a[6]*a[10] + 
             715*a[1]^7*a[15]) + 
            2*(9*a[1]*a[9]^2 + a[8]*a[
             10] + 45*a[1]^2*a[8]*a[
             10] + 165*a[1]^3*a[7]*a[
             11] + 495*a[1]^4*a[6]*a[
             12] + 2431*a[1]^10*a[
             17])) + 12*a[1]^2*a[6]*
           a[18] + 30*a[1]^4*a[6]*
           a[18] + 306*a[1]^16*a[6]*
           a[18] + 42*a[2]^5*
           (4*a[6]^2*a[8] + 8*a[3]*a[8]*
             a[9] + 72*a[1]*a[3]*a[8]*
             a[9] + 30*a[3]^4*a[10] + 
            180*a[1]^2*a[5]^2*a[10] + 
            360*a[1]^2*a[3]*a[7]*a[10] + 
            36*a[1]^2*a[9]*a[10] + 
            120*a[1]^3*a[9]*a[10] + 
            8*a[1]*a[8]*a[11] + 
            330*a[1]^4*a[8]*a[11] + 
            2640*a[1]^3*a[3]^3*a[12] + 
            a[7]*a[12] + 792*a[1]^5*a[7]*
             a[12] + 12*a[6]*
             (3*a[3]^2*a[9] + 6*a[1]*a[
             5]*a[9] + 110*a[1]^3*a[3]*a[
             11] + 143*a[1]^6*a[13]) + 
            12012*a[1]^6*a[3]^2*a[14] + 
            8*a[5]*(a[7]*a[8] + 
             45*a[1]*a[3]^2*a[10] + 
             495*a[1]^4*a[3]*a[12] + 
             429*a[1]^7*a[14]) + 
            11440*a[1]^9*a[3]*a[16] + 
            2652*a[1]^12*a[18]) + 
          6*a[3]^2*a[19] + 12*a[1]*
           a[3]^2*a[19] + 2907*a[1]^16*
           a[3]^2*a[19] + 12*a[1]^2*a[5]*
           a[19] + 20*a[1]^3*a[5]*
           a[19] + 342*a[1]^17*a[5]*
           a[19] + 15*a[2]^4*(7*a[7]^3 + 
            2310*a[1]^2*a[3]^4*a[11] + 
            168*a[3]^3*(a[5]*a[9] + 
             143*a[1]^5*a[13]) + 
            2*a[7]*(7*(1 + 8*a[1])*a[6]*
             a[8] + 252*a[1]^2*a[5]*a[
             9] + 2310*a[1]^4*a[3]*a[
             11] + 7*(a[5]*a[9] + 
             a[3]*a[11]) + 1716*a[1]^7*a[
             13] + 7*a[1]*(36*a[3]^2*
             a[9] + a[13])) + 7*a[3]^2*
             (8*a[8]^2 + 15*a[1]^2*(
             24*a[6]*a[10] + 88*a[1]*
             a[5]*a[11] + 429*a[1]^6*
             a[15])) + 56*a[3]*
             (9*a[1]*a[5]^2*a[9] + 
             a[5]*(2*a[6]*a[8] + 429*
             a[1]^6*a[13]) + a[1]*(
             9*a[1]*a[9]^2 + 2*a[8]*
             a[10] + 30*a[1]^2*a[8]*
             a[10] + 198*a[1]^4*a[6]*
             a[12] + 442*a[1]^10*
             a[17])) + 2*(56*a[1]*a[5]*
             a[8]^2 + 462*a[1]^5*a[9]*a[
             11] + 105*a[1]^4*(2*a[10]^
             2 + 11*a[5]^2*a[11]) + 
             84*a[1]^3*(10*a[5]*a[6]*
             a[10] + a[9]*a[11]) + 
             924*a[1]^6*a[8]*a[12] + 
             14*a[1]^2*(9*a[6]^2*a[9] + 
             2*a[8]*a[12]) + a[6]*a[
             14] + 3003*a[1]^8*a[6]*a[
             14] + 5005*a[1]^9*a[5]*a[
             15] + 1938*a[1]^14*a[
             19])) + 4*a[2]^3*
           (280*a[1]*a[5]^3*a[8] + 
            210*a[1]*a[7]^2*a[8] + 
            420*a[1]^2*a[7]^2*a[8] + 
            15*a[6]*a[8]^2 + 840*a[1]^2*
             a[6]*a[8]^2 + 30*a[6]*a[7]*
             a[9] + 210*a[1]*a[6]*a[7]*
             a[9] + 2520*a[1]^3*a[6]*
             a[7]*a[9] + 1260*a[1]*
             a[3]^5*a[10] + 30*a[6]^2*
             a[10] + 3150*a[1]^4*a[6]^2*
             a[10] + 1260*a[1]^5*a[10]*
             a[11] + 2310*a[1]^6*a[10]*
             a[11] + 34650*a[1]^4*a[3]^4*
             a[12] + 630*a[1]^4*a[9]*
             a[12] + 3960*a[1]^7*a[9]*
             a[12] + 105*a[5]^2*
             (a[6]*a[7] + 4*(a[3]^2*
             a[8] + 30*a[1]^3*a[3]*
             a[10] + 33*a[1]^6*a[12])) + 
            280*a[1]^3*a[8]*a[13] + 
            6435*a[1]^8*a[8]*a[13] + 
            105*a[1]^2*a[7]*a[14] + 
            10010*a[1]^9*a[7]*a[14] + 
            280*a[3]^3*(a[7]*a[8] + 
             9*a[1]*a[6]*a[9] + 429*a[1]^
             7*a[14]) + 30*a[1]*a[6]*
             a[15] + 15015*a[1]^10*a[6]*
             a[15] + 105*a[3]^2*
             (8*a[1]*a[8]*a[9] + 
             36*a[1]^2*a[8]*a[9] + 
             a[7]*a[10] + 120*a[1]^3*a[
             7]*a[10] + 330*a[1]^4*a[6]*
             a[11] + 1144*a[1]^10*a[
             16]) + 5*a[5]*(168*a[1]^2*a[
             8]*a[9] + 504*a[1]^3*a[8]*a[
             9] + 2520*a[1]^2*a[3]^3*a[
             10] + 42*a[1]*a[7]*a[10] + 
             1260*a[1]^4*a[7]*a[10] + 
             6*a[6]*a[11] + 2772*a[1]^5*
             a[6]*a[11] + 16632*a[1]^5*
             a[3]^2*a[12] + 42*a[3]*(
             (1 + 8*a[1])*a[7]*a[8] + 
             36*a[1]^2*a[6]*a[9] + 
             429*a[1]^8*a[14]) + a[16] + 
             4368*a[1]^11*a[16]) + 
            30*a[3]*(28*a[1]*a[6]^2*a[
             8] + a[6]*(7*a[7]^2 + 
             a[13] + 1716*a[1]^7*
             a[13]) + 7*a[1]*(12*a[1]^2*
             a[9]*a[10] + 30*a[1]^3*a[9]*
             a[10] + 4*a[1]*a[8]*a[11] + 
             66*a[1]^4*a[8]*a[11] + 
             a[7]*a[12] + 132*a[1]^5*
             a[7]*a[12] + 204*a[1]^12*
             a[18])) + a[20] + 
            4845*a[1]^16*a[20]) + 
          6*a[1]*a[3]*a[21] + 12*a[1]^2*
           a[3]*a[21] + 420*a[1]^19*a[3]*
           a[21] + 6*a[2]^2*(10*a[6]^4 + 
            210*a[1]*a[5]^2*a[7]^2 + 
            105*a[1]^2*a[7]*a[8]^2 + 
            560*a[1]^3*a[7]*a[8]^2 + 
            42*a[3]^6*a[9] + 840*a[1]^3*
             a[5]^3*a[9] + 210*a[1]^2*
             a[7]^2*a[9] + 630*a[1]^4*
             a[7]^2*a[9] + 5*a[5]*
             a[9]^2 + 1260*a[1]^4*a[5]*
             a[9]^2 + 10*a[5]*a[8]*
             a[10] + 560*a[1]^3*a[5]*
             a[8]*a[10] + 2520*a[1]^5*
             a[5]*a[8]*a[10] + 
            4620*a[1]^3*a[3]^5*a[11] + 
            10*a[5]*a[7]*a[11] + 
            210*a[1]^2*a[5]*a[7]*a[11] + 
            4620*a[1]^6*a[5]*a[7]*
             a[11] + a[11]^2 + 
            660*a[1]^7*a[11]^2 + 
            15*a[6]^2*(7*a[3]^2*a[7] + 
             4*(1 + 42*a[1]^3)*a[3]*a[
             9] + 2*((2 + 7*a[1])*a[5]*
             a[7] + a[1]*(2 + 77*a[1]^5)*
             a[11])) + 2*a[10]*a[12] + 
            420*a[1]^6*a[10]*a[12] + 
            990*a[1]^8*a[10]*a[12] + 
            10*a[5]^2*a[13] + 
            6435*a[1]^8*a[5]^2*a[13] + 
            2*a[9]*a[13] + 252*a[1]^5*
             a[9]*a[13] + 1430*a[1]^9*
             a[9]*a[13] + 210*a[3]^4*
             (6*a[1]*a[5]*a[9] + 
             143*a[1]^6*a[13]) + 
            2*a[8]*a[14] + 140*a[1]^4*
             a[8]*a[14] + 2002*a[1]^10*
             a[8]*a[14] + 2*a[7]*a[15] + 
            70*a[1]^3*a[7]*a[15] + 
            2730*a[1]^11*a[7]*a[15] + 
            70*a[3]^3*(8*a[1]*a[8]^2 + 
             a[7]*a[9] + 36*a[1]^2*a[7]*
             a[9] + 330*a[1]^4*a[5]*a[
             11] + 715*a[1]^9*a[15]) + 
            2*a[6]*(70*a[3]^4*a[8] + 
             15*(1 + 28*a[1]^2)*a[5]^2*a[
             8] + 30*a[1]*a[8]*a[9] + 
             280*a[1]^3*a[8]*a[9] + 
             630*a[1]^4*a[8]*a[9] + 
             4200*a[1]^3*a[3]^3*a[10] + 
             30*a[1]*a[7]*a[10] + 
             105*a[1]^2*a[7]*a[10] + 
             1260*a[1]^5*a[7]*a[10] + 
             5*(1 + 6*a[1] + 792*a[1]^7)*
             a[5]*a[12] + 15*a[3]^2*(
             56*a[1]*a[5]*a[8] + a[12] + 
             924*a[1]^6*a[12]) + 
             10*a[3]*(3*(1 + 7*a[1] + 
             28*a[1]^2)*a[7]*a[8] + 
             3*(1 + 210*a[1]^4)*a[5]*
             a[10] + a[1]*(3 + 1001*
             a[1]^8)*a[14]) + a[16] + 
             15*a[1]^2*a[16] + 1820*a[1]^
             12*a[16]) + 2*a[5]*a[17] + 
            10*a[1]*a[5]*a[17] + 
            4760*a[1]^13*a[5]*a[17] + 
            10*a[3]^2*(378*a[1]^2*a[5]^
             2*a[9] + 3*a[5]*(7*a[7]^2 + 
             1716*a[1]^7*a[13]) + 
             7*a[1]*(36*a[1]^2*a[9]^2 + 
             12*a[1]*a[8]*a[10] + 
             90*a[1]^3*a[8]*a[10] + 
             3*a[7]*a[11] + 198*a[1]^4*
             a[7]*a[11] + 442*a[1]^11*
             a[17])) + 2*a[3]*
             (35*a[5]^3*a[7] + 105*a[1]*
             a[7]^3 + 1260*a[1]^5*a[10]^
             2 + 6930*a[1]^5*a[5]^2*a[
             11] + 630*a[1]^4*a[9]*a[
             11] + 2310*a[1]^6*a[9]*a[
             11] + 280*a[1]^3*a[8]*a[
             12] + 3960*a[1]^7*a[8]*a[
             12] + 105*a[1]^2*a[7]*a[
             13] + 6435*a[1]^8*a[7]*a[
             13] + 5*a[5]*(168*a[1]^2*
             a[8]^2 + 42*a[1]*a[7]*
             a[9] + 504*a[1]^3*a[7]*
             a[9] + a[15] + 3003*a[1]^10*
             a[15]) + a[19] + 3876*a[1]^
             15*a[19]) + 2*a[1]*a[21] + 
            665*a[1]^18*a[21]) + 
          2*a[2]*(15*a[5]^4*a[6] + 
            90*a[3]^2*a[6]*a[7]^2 + 
            180*a[3]^2*a[6]^2*a[8] + 
            105*a[3]^4*a[7]*a[8] + 
            2*a[8]^3 + 12*a[7]*a[8]*
             a[9] + 6*a[6]*a[9]^2 + 
            6*a[7]^2*a[10] + 12*a[6]*
             a[8]*a[10] + 30*a[5]^3*
             (56*a[1]^2*a[3]*a[8] + 
             a[10] + 84*a[1]^5*a[10]) + 
            60*a[3]^3*a[6]*a[11] + 
            12*a[6]*a[7]*a[11] + 
            12*a[3]*a[10]*a[11] + 
            6*a[6]^2*a[12] + 12*a[3]*
             a[9]*a[12] + 12*a[3]*a[8]*
             a[13] + 660*a[1]^9*
             (a[11]*a[12] + 13*a[3]*a[8]*
             a[13]) + 360*a[1]^7*
             (11*a[6]*a[7]*a[11] + 
             11*a[3]*a[10]*a[11] + 
             66*a[3]^2*a[7]*a[12] + 
             a[10]*a[13]) + 12*a[3]*a[7]*
             a[14] + 6*a[5]^2*
             (280*a[1]*a[3]^3*a[8] + 
             5*(2 + 21*a[1]^2 + 
             56*a[1]^3)*a[7]*a[8] + 
             10*a[6]*a[9] + 30*a[1]*a[6]*
             a[9] + 630*a[1]^4*a[6]*a[
             9] + 3150*a[1]^4*a[3]^2*a[
             10] + 10*a[3]*(3*(1 + 
             7*a[1])*a[6]*a[7] + 
             (1 + 396*a[1]^7)*a[12]) + 
             a[14] + 10*a[1]*a[14] + 
             1001*a[1]^10*a[14]) + 
            495*a[1]^8*(6*a[6]^2*a[12] + 
             12*a[3]*a[9]*a[12] + 
             a[11]*a[12] + 78*a[3]^2*a[
             6]*a[13] + 91*a[3]^4*a[
             14]) + 858*a[1]^10*
             (a[10]*a[13] + 14*a[3]*a[7]*
             a[14]) + 252*a[1]^6*
             (5*a[7]^2*a[10] + 10*a[6]*a[
             8]*a[10] + 55*a[3]^2*a[8]*a[
             11] + 10*a[3]*a[10]*a[11] + 
             a[9]*a[14]) + 12*a[3]*a[6]*
             a[15] + 1365*a[1]^12*a[8]*
             a[15] + 168*a[1]^5*
             (9*a[7]*a[8]*a[9] + 
             45*a[3]*a[6]^2*a[10] + 
             45*a[3]^2*a[9]*a[10] + 
             3*a[6]*(3*a[9]^2 + 
             55*a[3]^3*a[11]) + 99*a[3]^
             5*a[12] + 9*a[3]*a[9]*a[
             12] + a[8]*a[15]) + 
            1680*a[1]^13*a[7]*a[16] + 
            1092*a[1]^11*(a[9]*a[14] + 
             15*a[3]*a[6]*a[15] + 
             40*a[3]^3*a[16]) + 
            105*a[1]^4*(4*a[8]^3 + 
             72*a[3]*a[6]*a[7]*a[9] + 
             120*a[3]^3*a[7]*a[10] + 
             36*a[3]^2*a[9]*a[10] + 
             8*a[8]*(a[7]*a[9] + a[6]*
             a[10] + a[3]*a[13]) + 
             a[7]*a[16]) + 60*a[1]^3*
             (84*a[3]^3*a[8]*a[9] + 
             7*a[7]^2*a[10] + 28*a[3]^2*
             a[8]*a[11] + 7*a[7]*(
             a[8]*a[9] + a[6]*a[11]) + 
             7*a[3]*(4*a[7]^2*a[8] + 
             8*a[6]*a[8]^2 + a[7]*
             a[14]) + a[6]*a[17]) + 
            6*a[3]^2*a[18] + 6*a[5]*
             (28*a[3]^5*a[8] + 5*(1 + 
             12*a[1] + 56*a[1]^3)*a[6]^
             2*a[8] + 2100*a[1]^3*a[3]^
             4*a[10] + 2*a[9]*a[10] + 
             10*a[1]*a[9]*a[10] + 
             252*a[1]^5*a[9]*a[10] + 
             420*a[1]^6*a[9]*a[10] + 
             2*a[8]*a[11] + 10*a[1]*a[8]*
             a[11] + 140*a[1]^4*a[8]*a[
             11] + 660*a[1]^7*a[8]*a[
             11] + 2*a[7]*a[12] + 
             10*a[1]*a[7]*a[12] + 
             70*a[1]^3*a[7]*a[12] + 
             990*a[1]^8*a[7]*a[12] + 
             70*a[3]^3*(a[6]*a[7] + 
             132*a[1]^6*a[12]) + 
             a[6]*(5*(1 + 6*a[1] + 
             42*a[1]^2)*a[7]^2 + 
             2*(1 + 5*a[1] + 15*a[1]^2 + 
             715*a[1]^9)*a[13]) + 
             5*a[3]^2*(42*a[1]*a[7]*
             a[8] + 168*a[1]^2*a[7]*
             a[8] + 6*a[6]*a[9] + 
             504*a[1]^3*a[6]*a[9] + 
             a[14] + 2002*a[1]^9*
             a[14]) + 2*a[3]*(15*a[6]^
             3 + 5*(1 + 56*a[1]^3 + 
             126*a[1]^4)*a[8]*a[9] + 
             5*a[7]*a[10] + 105*a[1]^2*
             a[7]*a[10] + 1260*a[1]^5*
             a[7]*a[10] + 5*(1 + 
             6*a[1] + 462*a[1]^6)*a[6]*
             a[11] + a[16] + 5*a[1]*
             a[16] + 1820*a[1]^12*
             a[16]) + 2*a[1]*a[18] + 
             5*a[1]^2*a[18] + 408*a[1]^
             15*a[18]) + 2040*a[1]^14*
             (a[6]*a[17] + 9*a[3]^2*a[
             18]) + 3*a[3]*a[20] + 
            3420*a[1]^17*a[3]*a[20] + 
            12*a[1]*(15*a[6]^3*a[7] + 
             70*a[3]^4*a[7]*a[8] + 
             30*a[3]*a[6]^2*a[10] + 
             35*a[3]^3*a[7]*a[10] + 
             a[11]*a[12] + a[10]*a[13] + 
             a[9]*a[14] + a[8]*a[15] + 
             a[7]*a[16] + a[6]*(15*a[3]*
             (a[8]^2 + 2*a[7]*a[9]) + 
             15*a[3]^2*(7*a[7]^2 + 
             a[13]) + a[17]) + a[3]*a[
             20]) + a[22] + 231*a[1]^20*
             a[22] + 6*a[1]^2*
             (35*a[6]^3*a[7] + 210*a[3]*
             a[7]^2*a[8] + 280*a[3]^3*a[
             8]*a[9] + 210*a[3]^6*a[
             10] + 105*a[3]^2*a[7]*a[
             12] + 30*a[6]^2*(14*a[3]^2*
             a[8] + a[12]) + 15*a[6]*(
             42*a[3]^4*a[9] + a[9]^2 + 
             2*a[8]*a[10] + 2*a[7]*
             a[11] + 2*a[3]*(7*a[7]*
             a[9] + a[15])) + a[22])) + 
          4*a[1]^3*a[23] + 23*a[1]^22*
           a[23]) + 2*a[2]^2*a[24] + 
        276*a[1]^22*a[2]^2*a[24] + 
        a[3]*(20*a[5]^2*a[6]^3 + 
          180*a[1]*a[5]^2*a[6]^3 + 
          60*a[5]^3*a[6]*a[7] + 
          120*a[1]*a[5]^3*a[6]*a[7] + 
          420*a[1]^2*a[5]^3*a[6]*a[7] + 
          60*a[1]^2*a[6]*a[7]^3 + 
          420*a[1]^3*a[6]*a[7]^3 + 
          20*a[5]^4*a[8] + 280*a[1]^3*
           a[5]^4*a[8] + 360*a[1]^2*
           a[6]^2*a[7]*a[8] + 420*a[1]^3*
           a[6]^2*a[7]*a[8] + 840*a[1]^4*
           a[6]^2*a[7]*a[8] + 
          60*a[1]*a[5]*a[7]^2*a[8] + 
          840*a[1]^3*a[5]*a[7]^2*a[8] + 
          840*a[1]^4*a[5]*a[7]^2*a[8] + 
          60*a[1]*a[5]*a[6]*a[8]^2 + 
          180*a[1]^2*a[5]*a[6]*a[8]^2 + 
          1680*a[1]^4*a[5]*a[6]*a[8]^2 + 
          180*a[1]^2*a[6]^3*a[9] + 
          504*a[1]^5*a[6]^3*a[9] + 
          120*a[1]*a[5]*a[6]*a[7]*a[9] + 
          360*a[1]^2*a[5]*a[6]*a[7]*
           a[9] + 840*a[1]^3*a[5]*a[6]*
           a[7]*a[9] + 3024*a[1]^5*a[5]*
           a[6]*a[7]*a[9] + 120*a[1]*
           a[5]^2*a[8]*a[9] + 840*a[1]^4*
           a[5]^2*a[8]*a[9] + 
          1512*a[1]^5*a[5]^2*a[8]*a[9] + 
          3*a[8]*a[9]^2 + 168*a[1]^5*
           a[8]*a[9]^2 + 504*a[1]^6*a[8]*
           a[9]^2 + 60*a[1]*a[5]*a[6]^2*
           a[10] + 360*a[1]^2*a[5]*
           a[6]^2*a[10] + 2520*a[1]^6*
           a[5]*a[6]^2*a[10] + 
          120*a[1]*a[5]^2*a[7]*a[10] + 
          420*a[1]^3*a[5]^2*a[7]*a[10] + 
          2520*a[1]^6*a[5]^2*a[7]*
           a[10] + 3*a[8]^2*a[10] + 
          336*a[1]^5*a[8]^2*a[10] + 
          360*a[1]^7*a[8]^2*a[10] + 
          6*a[7]*a[9]*a[10] + 210*a[1]^4*
           a[7]*a[9]*a[10] + 504*a[1]^6*
           a[7]*a[9]*a[10] + 720*a[1]^7*
           a[7]*a[9]*a[10] + 3*a[6]*
           a[10]^2 + 60*a[1]^3*a[6]*
           a[10]^2 + 720*a[1]^7*a[6]*
           a[10]^2 + 120*a[1]*a[5]^2*
           a[6]*a[11] + 180*a[1]^2*
           a[5]^2*a[6]*a[11] + 
          3960*a[1]^7*a[5]^2*a[6]*
           a[11] + 6*a[7]*a[8]*a[11] + 
          210*a[1]^4*a[7]*a[8]*a[11] + 
          336*a[1]^5*a[7]*a[8]*a[11] + 
          990*a[1]^8*a[7]*a[8]*a[11] + 
          6*a[6]*a[9]*a[11] + 120*a[1]^3*
           a[6]*a[9]*a[11] + 504*a[1]^6*
           a[6]*a[9]*a[11] + 990*a[1]^8*
           a[6]*a[9]*a[11] + 6*a[5]*
           a[10]*a[11] + 60*a[1]^2*a[5]*
           a[10]*a[11] + 720*a[1]^7*a[5]*
           a[10]*a[11] + 990*a[1]^8*a[5]*
           a[10]*a[11] + 60*a[1]*a[5]^3*
           a[12] + 1980*a[1]^8*a[5]^3*
           a[12] + 3*a[7]^2*a[12] + 
          210*a[1]^4*a[7]^2*a[12] + 
          660*a[1]^9*a[7]^2*a[12] + 
          6*a[6]*a[8]*a[12] + 120*a[1]^3*
           a[6]*a[8]*a[12] + 336*a[1]^5*
           a[6]*a[8]*a[12] + 1320*a[1]^9*
           a[6]*a[8]*a[12] + 6*a[5]*a[9]*
           a[12] + 60*a[1]^2*a[5]*a[9]*
           a[12] + 504*a[1]^6*a[5]*a[9]*
           a[12] + 1320*a[1]^9*a[5]*a[9]*
           a[12] + 156*a[1]*a[2]^11*
           a[13] + 6*a[6]*a[7]*a[13] + 
          120*a[1]^3*a[6]*a[7]*a[13] + 
          210*a[1]^4*a[6]*a[7]*a[13] + 
          1716*a[1]^10*a[6]*a[7]*a[13] + 
          6*a[5]*a[8]*a[13] + 60*a[1]^2*
           a[5]*a[8]*a[13] + 336*a[1]^5*
           a[5]*a[8]*a[13] + 
          1716*a[1]^10*a[5]*a[8]*a[13] + 
          6*a[1]*a[12]*a[13] + 
          132*a[1]^10*a[12]*a[13] + 
          156*a[1]^11*a[12]*a[13] + 
          4004*a[1]^3*a[2]^10*a[14] + 
          3*a[6]^2*a[14] + 120*a[1]^3*
           a[6]^2*a[14] + 1092*a[1]^11*
           a[6]^2*a[14] + 6*a[5]*a[7]*
           a[14] + 60*a[1]^2*a[5]*a[7]*
           a[14] + 210*a[1]^4*a[5]*a[7]*
           a[14] + 2184*a[1]^11*a[5]*
           a[7]*a[14] + 6*a[1]*a[11]*
           a[14] + 110*a[1]^9*a[11]*
           a[14] + 182*a[1]^12*a[11]*
           a[14] + 6*a[5]*a[6]*a[15] + 
          60*a[1]^2*a[5]*a[6]*a[15] + 
          120*a[1]^3*a[5]*a[6]*a[15] + 
          2730*a[1]^12*a[5]*a[6]*a[15] + 
          6*a[1]*a[10]*a[15] + 
          90*a[1]^8*a[10]*a[15] + 
          210*a[1]^13*a[10]*a[15] + 
          110*a[2]^9*(a[5]*a[11] + 
            273*a[1]^5*a[15]) + 
          3*a[5]^2*a[16] + 60*a[1]^2*
           a[5]^2*a[16] + 1680*a[1]^13*
           a[5]^2*a[16] + 6*a[1]*a[9]*
           a[16] + 72*a[1]^7*a[9]*
           a[16] + 240*a[1]^14*a[9]*
           a[16] + 90*a[2]^8*
           (a[7]*a[10] + 11*a[1]*
             (a[6]*a[11] + 6*a[1]*a[5]*a[
             12] + 104*a[1]^6*a[16])) + 
          6*a[1]*a[8]*a[17] + 56*a[1]^6*
           a[8]*a[17] + 272*a[1]^15*a[8]*
           a[17] + 8*a[2]^7*(9*a[9]^2 + 
            5*a[1]*(18*a[8]*a[10] + 
             11*a[1]*(9*a[7]*a[11] + 
             36*a[1]*a[6]*a[12] + 
             117*a[1]^2*a[5]*a[13] + 
             442*a[1]^7*a[17]))) + 
          6*a[1]*a[7]*a[18] + 42*a[1]^5*
           a[7]*a[18] + 306*a[1]^16*a[7]*
           a[18] + 56*a[2]^6*
           (45*a[1]*a[5]^2*a[10] + 
            9*a[1]*a[9]*a[10] + 
            45*a[1]^2*a[9]*a[10] + 
            a[8]*a[11] + 165*a[1]^3*a[8]*
             a[11] + 495*a[1]^4*a[7]*
             a[12] + 1287*a[1]^5*a[6]*
             a[13] + a[5]*(9*a[6]*a[9] + 
             3003*a[1]^6*a[14]) + 
            3978*a[1]^11*a[18]) + 
          6*a[1]*a[6]*a[19] + 30*a[1]^4*
           a[6]*a[19] + 342*a[1]^17*a[6]*
           a[19] + 42*a[2]^5*
           (36*a[1]*a[6]^2*a[9] + 
            120*a[1]^3*a[10]^2 + 
            660*a[1]^3*a[5]^2*a[11] + 
            36*a[1]^2*a[9]*a[11] + 
            330*a[1]^4*a[9]*a[11] + 
            8*a[1]*a[8]*a[12] + 
            792*a[1]^5*a[8]*a[12] + 
            a[7]*a[13] + 1716*a[1]^6*
             a[7]*a[13] + 8*a[6]*
             (a[7]*a[8] + 45*a[1]^2*a[5]*
             a[10] + 429*a[1]^7*a[14]) + 
            a[5]*(8*a[8]^2 + 72*a[1]*a[
             7]*a[9] + 6435*a[1]^8*a[
             15]) + 3876*a[1]^13*
             a[19]) + 6*a[1]*a[5]*
           a[20] + 20*a[1]^3*a[5]*
           a[20] + 380*a[1]^18*a[5]*
           a[20] + 10*a[2]^4*
           (28*a[5]^3*a[8] + 8316*a[1]^5*
             a[5]^2*a[12] + 21*a[5]*
             (8*a[1]*a[8]*a[9] + 
             36*a[1]^2*a[8]*a[9] + 
             a[7]*a[10] + 120*a[1]^3*a[
             7]*a[10] + 330*a[1]^4*a[6]*
             a[11] + 1144*a[1]^10*a[
             16]) + 3*(7*(1 + 4*a[1])*
             a[7]^2*a[8] + 56*a[1]*a[6]*
             a[8]^2 + 210*a[1]^4*a[10]*a[
             11] + 462*a[1]^5*a[10]*a[
             11] + 924*a[1]^6*a[9]*a[
             12] + 84*a[1]^3*(5*a[6]^2*
             a[10] + a[9]*a[12]) + 
             28*a[1]^2*a[8]*a[13] + 
             1716*a[1]^7*a[8]*a[13] + 
             7*a[7]*((1 + 36*a[1]^2)*
             a[6]*a[9] + a[1]*(1 + 
             429*a[1]^7)*a[14]) + 
             a[6]*a[15] + 5005*a[1]^9*a[
             6]*a[15] + 2584*a[1]^15*a[
             20])) + 20*a[2]^3*
           (252*a[1]^2*a[5]^3*a[9] + 
            462*a[1]^6*a[11]^2 + 
            6*a[6]*(a[8]*a[9] + a[7]*a[
             10] + a[6]*a[11]) + 
            792*a[1]^7*a[10]*a[12] + 
            126*a[1]^5*(11*a[6]^2*a[
             11] + 2*a[10]*a[12]) + 
            1287*a[1]^8*a[9]*a[13] + 
            3*a[5]^2*(7*a[7]^2 + 
             56*a[1]*a[6]*a[8] + 
             1716*a[1]^7*a[13]) + 
            126*a[1]^4*(10*a[6]*a[7]*a[
             10] + a[9]*a[13]) + 
            2002*a[1]^9*a[8]*a[14] + 
            28*a[1]^3*(9*a[7]^2*a[9] + 
             2*a[8]*(9*a[6]*a[9] + 
             a[14])) + 3003*a[1]^10*a[7]*
             a[15] + 21*a[1]^2*
             (8*a[6]*a[8]*a[9] + 
             a[7]*(8*a[8]^2 + a[15])) + 
            4368*a[1]^11*a[6]*a[16] + 
            3*a[1]*(14*a[7]^2*a[9] + 
             7*a[7]*(a[8]^2 + 2*a[6]*
             a[10]) + 2*a[6]*a[16]) + 
            a[5]*(21*a[6]^2*a[7] + 
             504*a[1]^3*a[9]^2 + 
             168*a[1]^2*a[8]*a[10] + 
             1260*a[1]^4*a[8]*a[10] + 
             42*a[1]*a[7]*a[11] + 
             2772*a[1]^5*a[7]*a[11] + 
             6*(1 + 924*a[1]^6)*a[6]*a[
             12] + a[17] + 6188*a[1]^12*
             a[17]) + 1197*a[1]^17*
             a[21]) + 3*a[2]^2*
           (20*(3 + 7*a[1])*a[6]^3*
             a[7] + 20*a[5]*a[9]*a[10] + 
            20*a[5]*a[8]*a[11] + 
            20*a[5]*a[7]*a[12] + 
            1980*a[1]^8*a[11]*a[12] + 
            1320*a[1]^7*(12*a[5]*a[7] + 
             a[11])*a[12] + 120*a[6]^2*
             ((1 + 14*a[1]^2)*a[5]*a[
             8] + a[1]*(1 + 66*a[1]^6)*a[
             12]) + 420*a[1]^2*a[7]*
             (4*a[5]^2*a[8] + a[8]*a[
             9] + a[7]*a[10] + a[5]*a[
             12]) + 840*a[1]^6*
             (11*a[5]*a[8]*a[11] + 
             a[10]*a[13]) + 20*a[5]^2*
             a[14] + 4004*a[1]^10*a[9]*
             a[14] + 2860*a[1]^9*
             (a[10]*a[13] + 7*a[5]^2*a[
             14]) + 504*a[1]^5*
             (5*a[7]^2*a[10] + a[9]*(
             10*a[5]*a[10] + a[14])) + 
            5460*a[1]^11*a[8]*a[15] + 
            280*a[1]^4*(9*a[7]*a[8]*a[
             9] + 15*a[5]^3*a[10] + 
             9*a[5]*a[9]*a[10] + 
             a[8]*a[15]) + 7280*a[1]^12*
             a[7]*a[16] + 140*a[1]^3*
             (4*a[8]^3 + 8*a[8]*(a[7]*
             a[9] + a[5]*a[11]) + 
             a[7]*a[16]) + 20*a[6]*
             (3*(1 + 84*a[1]^3)*a[5]^2*a[
             9] + a[5]*((3 + 42*a[1])*
             a[7]^2 + (1 + 6*a[1] + 
             1287*a[1]^8)*a[13]) + 
             a[1]*(3*(1 + 42*a[1]^3)*
             a[9]^2 + 2*(3 + 28*a[1]^2 + 
             126*a[1]^4)*a[8]*a[10] + 
             6*a[7]*a[11] + 21*a[1]*a[7]*
             a[11] + 462*a[1]^5*a[7]*
             a[11] + 3*a[1]*a[17] + 
             476*a[1]^12*a[17])) + 
            12240*a[1]^14*a[5]*a[18] + 
            20*a[1]*a[5]*(21*a[5]*a[7]*a[
             8] + a[18]) + a[22] + 
            1540*a[1]^19*a[22]) + 
          a[2]*(210*a[1]*a[5]^4*a[7] + 
            60*a[5]^3*(2*a[6]^2 + 
             (1 + 154*a[1]^6)*a[11]) + 
            3*a[12]^2 + 6*a[11]*a[13] + 
            1716*a[1]^10*a[11]*a[13] + 
            660*a[1]^9*(2*a[12]^2 + 
             13*a[6]^2*a[13]) + 
            990*a[1]^8*(12*a[6]*a[7]*a[
             12] + a[11]*a[13]) + 
            180*a[1]^2*a[6]*
             (2*(a[9]*a[10] + a[8]*
             a[11] + a[7]*a[12]) + 
             a[6]*(7*a[7]^2 + 
             2*a[13])) + 6*a[10]*a[14] + 
            2184*a[1]^11*a[10]*a[14] + 
            360*a[1]^7*(11*a[7]^2*a[
             11] + 22*a[6]*a[8]*a[11] + 
             2*a[10]*a[14]) + 6*a[9]*
             a[15] + 2730*a[1]^12*a[9]*
             a[15] + 60*a[5]^2*
             ((1 + 56*a[1]^3)*a[8]^2 + 
             (2 + 21*a[1]^2 + 126*a[1]^
             4)*a[7]*a[9] + 2*a[6]*a[
             10] + 6*a[1]*a[6]*a[10] + 
             252*a[1]^5*a[6]*a[10] + 
             2*a[1]*a[15] + 273*a[1]^11*
             a[15]) + 504*a[1]^6*
             (10*a[7]*a[8]*a[10] + 
             a[9]*(10*a[6]*a[10] + 
             a[15])) + 6*a[8]*a[16] + 
            3360*a[1]^13*a[8]*a[16] + 
            168*a[1]^5*(9*a[8]^2*a[9] + 
             18*a[9]*(a[7]*a[9] + 
             a[6]*a[10]) + 2*a[8]*a[
             16]) + 6*a[7]*a[17] + 
            4080*a[1]^14*a[7]*a[17] + 
            210*a[1]^4*(8*a[8]^2*a[9] + 
             8*a[8]*(a[7]*a[10] + 
             a[6]*a[11]) + a[7]*a[17]) + 
            6*a[6]*a[18] + 4896*a[1]^15*
             a[6]*a[18] + 20*a[1]^3*
             (56*a[6]^3*a[8] + 21*a[7]*(
             a[9]^2 + 2*a[8]*a[10] + 
             2*a[7]*a[11]) + 6*a[6]*(
             7*a[7]*a[12] + a[18])) + 
            2*a[5]*(10*(1 + 63*a[1]^2)*
             a[7]^3 + 60*a[7]*(
             (1 + 6*a[1] + 21*a[1]^2 + 
             56*a[1]^3)*a[6]*a[8] + 
             a[1]*(1 + 7*a[1]^2 + 143*
             a[1]^8)*a[13]) + 
             3*(10*(1 + 12*a[1] + 126*
             a[1]^4)*a[6]^2*a[9] + 
             840*a[1]^6*a[10]^2 + 
             504*a[1]^5*a[9]*a[11] + 
             1320*a[1]^7*a[9]*a[11] + 
             280*a[1]^4*a[8]*a[12] + 
             1980*a[1]^8*a[8]*a[12] + 
             10*a[1]*(a[10]^2 + 2*a[9]*
             a[11] + 2*a[8]*a[12]) + 
             4*a[1]*(5 + 15*a[1] + 
             1001*a[1]^9)*a[6]*a[14] + 
             a[19] + 10*a[1]^2*a[19] + 
             969*a[1]^16*a[19])) + 
            2*a[23] + 506*a[1]^21*
             a[23] + 6*a[1]*
             (60*a[6]^2*a[7]^2 + 
             60*a[6]^3*a[8] + a[23])) + 
          3*a[1]^2*a[24] + 24*a[1]^23*
           a[24]) + 2*a[1]*a[2]*a[25] + 
        25*a[1]^24*a[2]*a[25] - 
        b[26]));
        
    a[27] = -((1/(a[1] + a[1]^27))*
       (60*a[3]^2*a[5]^3*a[6]^2 + 
        10*a[5]^4*a[6]^2 + 30*a[1]*
         a[5]^4*a[6]^2 + 20*a[3]^3*
         a[6]^4 + 5*a[3]*a[5]*a[6]^4 + 
        120*a[1]*a[3]*a[5]*a[6]^4 + 
        35*a[3]^4*a[5]^3*a[7] + 
        105*a[1]*a[3]^2*a[5]^4*a[7] + 
        5*a[5]^5*a[7] + 21*a[1]^2*a[5]^5*
         a[7] + 21*a[3]^5*a[6]^2*a[7] + 
        120*a[3]^3*a[5]*a[6]^2*a[7] + 
        420*a[1]*a[3]^3*a[5]*a[6]^2*
         a[7] + 60*a[3]*a[5]^2*a[6]^2*
         a[7] + 360*a[1]*a[3]*a[5]^2*
         a[6]^2*a[7] + 630*a[1]^2*a[3]*
         a[5]^2*a[6]^2*a[7] + 
        60*a[1]^2*a[6]^4*a[7] + 
        35*a[1]^3*a[6]^4*a[7] + 
        42*a[3]^5*a[5]*a[7]^2 + 
        420*a[1]*a[3]^3*a[5]^2*a[7]^2 + 
        30*a[3]*a[5]^3*a[7]^2 + 
        420*a[1]^2*a[3]*a[5]^3*a[7]^2 + 
        180*a[1]*a[3]^2*a[6]^2*a[7]^2 + 
        630*a[1]^2*a[3]^2*a[6]^2*
         a[7]^2 + 30*a[1]*a[5]*a[6]^2*
         a[7]^2 + 180*a[1]^2*a[5]*a[6]^2*
         a[7]^2 + 420*a[1]^3*a[5]*a[6]^2*
         a[7]^2 + 105*a[1]*a[3]^4*
         a[7]^3 + 10*a[3]^2*a[5]*
         a[7]^3 + 630*a[1]^2*a[3]^2*a[5]*
         a[7]^3 + 20*a[1]*a[5]^2*
         a[7]^3 + 210*a[1]^3*a[5]^2*
         a[7]^3 + 140*a[1]^3*a[3]*
         a[7]^4 + 8*a[3]^7*a[6]*a[8] + 
        336*a[1]*a[3]^5*a[5]*a[6]*a[8] + 
        60*a[3]^3*a[5]^2*a[6]*a[8] + 
        1680*a[1]^2*a[3]^3*a[5]^2*a[6]*
         a[8] + 60*a[3]*a[5]^3*a[6]*
         a[8] + 120*a[1]*a[3]*a[5]^3*
         a[6]*a[8] + 1120*a[1]^3*a[3]*
         a[5]^3*a[6]*a[8] + 180*a[1]*
         a[3]^2*a[6]^3*a[8] + 
        560*a[1]^3*a[3]^2*a[6]^3*a[8] + 
        20*a[1]*a[5]*a[6]^3*a[8] + 
        180*a[1]^2*a[5]*a[6]^3*a[8] + 
        280*a[1]^4*a[5]*a[6]^3*a[8] + 
        30*a[3]^4*a[6]*a[7]*a[8] + 
        210*a[1]*a[3]^4*a[6]*a[7]*a[8] + 
        840*a[1]^2*a[3]^4*a[6]*a[7]*
         a[8] + 60*a[3]^2*a[5]*a[6]*a[7]*
         a[8] + 360*a[1]*a[3]^2*a[5]*
         a[6]*a[7]*a[8] + 1260*a[1]^2*
         a[3]^2*a[5]*a[6]*a[7]*a[8] + 
        3360*a[1]^3*a[3]^2*a[5]*a[6]*
         a[7]*a[8] + 120*a[1]*a[5]^2*
         a[6]*a[7]*a[8] + 180*a[1]^2*
         a[5]^2*a[6]*a[7]*a[8] + 
        420*a[1]^3*a[5]^2*a[6]*a[7]*
         a[8] + 840*a[1]^4*a[5]^2*a[6]*
         a[7]*a[8] + 180*a[1]^2*a[3]*
         a[6]*a[7]^2*a[8] + 840*a[1]^3*
         a[3]*a[6]*a[7]^2*a[8] + 
        840*a[1]^4*a[3]*a[6]*a[7]^2*
         a[8] + 56*a[1]*a[3]^6*a[8]^2 + 
        840*a[1]^2*a[3]^4*a[5]*a[8]^2 + 
        30*a[3]^2*a[5]^2*a[8]^2 + 
        1680*a[1]^3*a[3]^2*a[5]^2*
         a[8]^2 + 30*a[1]*a[5]^3*
         a[8]^2 + 280*a[1]^4*a[5]^3*
         a[8]^2 + 180*a[1]^2*a[3]*a[6]^2*
         a[8]^2 + 840*a[1]^4*a[3]*a[6]^2*
         a[8]^2 + 210*a[1]^2*a[3]^3*a[7]*
         a[8]^2 + 1120*a[1]^3*a[3]^3*
         a[7]*a[8]^2 + 60*a[1]*a[3]*a[5]*
         a[7]*a[8]^2 + 420*a[1]^3*a[3]*
         a[5]*a[7]*a[8]^2 + 1680*a[1]^4*
         a[3]*a[5]*a[7]*a[8]^2 + 
        105*a[1]^4*a[7]^2*a[8]^2 + 
        168*a[1]^5*a[7]^2*a[8]^2 + 
        20*a[1]^3*a[6]*a[8]^3 + 
        168*a[1]^5*a[6]*a[8]^3 + 
        a[3]^9*a[9] + 72*a[1]*a[3]^7*
         a[5]*a[9] + 756*a[1]^2*a[3]^5*
         a[5]^2*a[9] + 1680*a[1]^3*
         a[3]^3*a[5]^3*a[9] + 
        20*a[3]*a[5]^4*a[9] + 
        630*a[1]^4*a[3]*a[5]^4*a[9] + 
        30*a[3]^4*a[6]^2*a[9] + 
        1260*a[1]^3*a[3]^4*a[6]^2*a[9] + 
        30*a[3]^2*a[5]*a[6]^2*a[9] + 
        360*a[1]*a[3]^2*a[5]*a[6]^2*
         a[9] + 3780*a[1]^4*a[3]^2*a[5]*
         a[6]^2*a[9] + 60*a[1]*a[5]^2*
         a[6]^2*a[9] + 180*a[1]^2*a[5]^2*
         a[6]^2*a[9] + 756*a[1]^5*a[5]^2*
         a[6]^2*a[9] + 7*a[3]^6*a[7]*
         a[9] + 252*a[1]^2*a[3]^6*a[7]*
         a[9] + 210*a[1]*a[3]^4*a[5]*
         a[7]*a[9] + 2520*a[1]^3*a[3]^4*
         a[5]*a[7]*a[9] + 60*a[3]^2*
         a[5]^2*a[7]*a[9] + 630*a[1]^2*
         a[3]^2*a[5]^2*a[7]*a[9] + 
        3780*a[1]^4*a[3]^2*a[5]^2*a[7]*
         a[9] + 60*a[1]*a[5]^3*a[7]*
         a[9] + 140*a[1]^3*a[5]^3*a[7]*
         a[9] + 504*a[1]^5*a[5]^3*a[7]*
         a[9] + 360*a[1]^2*a[3]*a[6]^2*
         a[7]*a[9] + 420*a[1]^3*a[3]*
         a[6]^2*a[7]*a[9] + 1512*a[1]^5*
         a[3]*a[6]^2*a[7]*a[9] + 
        420*a[1]^2*a[3]^3*a[7]^2*a[9] + 
        1260*a[1]^4*a[3]^3*a[7]^2*a[9] + 
        60*a[1]*a[3]*a[5]*a[7]^2*a[9] + 
        840*a[1]^3*a[3]*a[5]*a[7]^2*
         a[9] + 1512*a[1]^5*a[3]*a[5]*
         a[7]^2*a[9] + 105*a[1]^4*a[7]^3*
         a[9] + 84*a[1]^6*a[7]^3*a[9] + 
        120*a[1]*a[3]^3*a[6]*a[8]*a[9] + 
        1120*a[1]^3*a[3]^3*a[6]*a[8]*
         a[9] + 2520*a[1]^4*a[3]^3*a[6]*
         a[8]*a[9] + 120*a[1]*a[3]*a[5]*
         a[6]*a[8]*a[9] + 360*a[1]^2*
         a[3]*a[5]*a[6]*a[8]*a[9] + 
        1680*a[1]^4*a[3]*a[5]*a[6]*a[8]*
         a[9] + 3024*a[1]^5*a[3]*a[5]*
         a[6]*a[8]*a[9] + 120*a[1]^3*
         a[6]*a[7]*a[8]*a[9] + 
        210*a[1]^4*a[6]*a[7]*a[8]*a[9] + 
        336*a[1]^5*a[6]*a[7]*a[8]*a[9] + 
        504*a[1]^6*a[6]*a[7]*a[8]*a[9] + 
        840*a[1]^4*a[3]^2*a[8]^2*a[9] + 
        756*a[1]^5*a[3]^2*a[8]^2*a[9] + 
        30*a[1]^2*a[5]*a[8]^2*a[9] + 
        336*a[1]^5*a[5]*a[8]^2*a[9] + 
        252*a[1]^6*a[5]*a[8]^2*a[9] + 
        504*a[1]^3*a[3]^5*a[9]^2 + 
        10*a[3]^3*a[5]*a[9]^2 + 
        2520*a[1]^4*a[3]^3*a[5]*a[9]^2 + 
        60*a[1]*a[3]*a[5]^2*a[9]^2 + 
        1512*a[1]^5*a[3]*a[5]^2*a[9]^2 + 
        60*a[1]^3*a[6]^2*a[9]^2 + 
        252*a[1]^6*a[6]^2*a[9]^2 + 
        210*a[1]^3*a[3]^2*a[7]*a[9]^2 + 
        1512*a[1]^5*a[3]^2*a[7]*a[9]^2 + 
        30*a[1]^2*a[5]*a[7]*a[9]^2 + 
        105*a[1]^4*a[5]*a[7]*a[9]^2 + 
        504*a[1]^6*a[5]*a[7]*a[9]^2 + 
        a[3]*a[9]^3 + 252*a[1]^6*a[3]*
         a[9]^3 + 7*a[4]^6*(a[3]*a[7] + 
          8*a[1]*a[2]*a[8] + 12*a[1]^3*
           a[9]) + 840*a[1]^3*a[3]^6*
         a[6]*a[10] + 30*a[3]^4*a[5]*
         a[6]*a[10] + 6300*a[1]^4*a[3]^4*
         a[5]*a[6]*a[10] + 60*a[3]^2*
         a[5]^2*a[6]*a[10] + 
        180*a[1]*a[3]^2*a[5]^2*a[6]*
         a[10] + 7560*a[1]^5*a[3]^2*
         a[5]^2*a[6]*a[10] + 
        60*a[1]*a[5]^3*a[6]*a[10] + 
        60*a[1]^2*a[5]^3*a[6]*a[10] + 
        840*a[1]^6*a[5]^3*a[6]*a[10] + 
        180*a[1]^2*a[3]*a[6]^3*a[10] + 
        840*a[1]^6*a[3]*a[6]^3*a[10] + 
        120*a[1]*a[3]^3*a[6]*a[7]*
         a[10] + 420*a[1]^2*a[3]^3*a[6]*
         a[7]*a[10] + 5040*a[1]^5*a[3]^3*
         a[6]*a[7]*a[10] + 120*a[1]*a[3]*
         a[5]*a[6]*a[7]*a[10] + 
        360*a[1]^2*a[3]*a[5]*a[6]*a[7]*
         a[10] + 840*a[1]^3*a[3]*a[5]*
         a[6]*a[7]*a[10] + 5040*a[1]^6*
         a[3]*a[5]*a[6]*a[7]*a[10] + 
        60*a[1]^3*a[6]*a[7]^2*a[10] + 
        210*a[1]^4*a[6]*a[7]^2*a[10] + 
        360*a[1]^7*a[6]*a[7]^2*a[10] + 
        168*a[1]^2*a[3]^5*a[8]*a[10] + 
        1260*a[1]^4*a[3]^5*a[8]*a[10] + 
        20*a[3]^3*a[5]*a[8]*a[10] + 
        1120*a[1]^3*a[3]^3*a[5]*a[8]*
         a[10] + 5040*a[1]^5*a[3]^3*a[5]*
         a[8]*a[10] + 120*a[1]*a[3]*
         a[5]^2*a[8]*a[10] + 840*a[1]^4*
         a[3]*a[5]^2*a[8]*a[10] + 
        2520*a[1]^6*a[3]*a[5]^2*a[8]*
         a[10] + 120*a[1]^3*a[6]^2*a[8]*
         a[10] + 168*a[1]^5*a[6]^2*a[8]*
         a[10] + 360*a[1]^7*a[6]^2*a[8]*
         a[10] + 420*a[1]^3*a[3]^2*a[7]*
         a[8]*a[10] + 840*a[1]^4*a[3]^2*
         a[7]*a[8]*a[10] + 2520*a[1]^6*
         a[3]^2*a[7]*a[8]*a[10] + 
        60*a[1]^2*a[5]*a[7]*a[8]*a[10] + 
        210*a[1]^4*a[5]*a[7]*a[8]*
         a[10] + 336*a[1]^5*a[5]*a[7]*
         a[8]*a[10] + 720*a[1]^7*a[5]*
         a[7]*a[8]*a[10] + 180*a[1]^2*
         a[3]^2*a[6]*a[9]*a[10] + 
        1512*a[1]^5*a[3]^2*a[6]*a[9]*
         a[10] + 2520*a[1]^6*a[3]^2*a[6]*
         a[9]*a[10] + 60*a[1]^2*a[5]*
         a[6]*a[9]*a[10] + 120*a[1]^3*
         a[5]*a[6]*a[9]*a[10] + 
        504*a[1]^6*a[5]*a[6]*a[9]*
         a[10] + 720*a[1]^7*a[5]*a[6]*
         a[9]*a[10] + 6*a[3]*a[8]*a[9]*
         a[10] + 336*a[1]^5*a[3]*a[8]*
         a[9]*a[10] + 504*a[1]^6*a[3]*
         a[8]*a[9]*a[10] + 720*a[1]^7*
         a[3]*a[8]*a[9]*a[10] + 
        1260*a[1]^5*a[3]^4*a[10]^2 + 
        30*a[1]*a[3]^2*a[5]*a[10]^2 + 
        2520*a[1]^6*a[3]^2*a[5]*
         a[10]^2 + 30*a[1]^2*a[5]^2*
         a[10]^2 + 360*a[1]^7*a[5]^2*
         a[10]^2 + 3*a[3]*a[7]*a[10]^2 + 
        105*a[1]^4*a[3]*a[7]*a[10]^2 + 
        720*a[1]^7*a[3]*a[7]*a[10]^2 + 
        36*a[1]^7*a[9]*a[10]^2 + 
        90*a[1]^8*a[9]*a[10]^2 + 
        165*a[1]^3*a[3]^8*a[11] + 
        2310*a[1]^4*a[3]^6*a[5]*a[11] + 
        6930*a[1]^5*a[3]^4*a[5]^2*
         a[11] + 30*a[3]^2*a[5]^3*
         a[11] + 4620*a[1]^6*a[3]^2*
         a[5]^3*a[11] + 20*a[1]*a[5]^4*
         a[11] + 330*a[1]^7*a[5]^4*
         a[11] + 120*a[1]*a[3]^3*a[6]^2*
         a[11] + 4620*a[1]^6*a[3]^3*
         a[6]^2*a[11] + 60*a[1]*a[3]*
         a[5]*a[6]^2*a[11] + 360*a[1]^2*
         a[3]*a[5]*a[6]^2*a[11] + 
        3960*a[1]^7*a[3]*a[5]*a[6]^2*
         a[11] + 42*a[1]*a[3]^5*a[7]*
         a[11] + 2772*a[1]^5*a[3]^5*a[7]*
         a[11] + 20*a[3]^3*a[5]*a[7]*
         a[11] + 420*a[1]^2*a[3]^3*a[5]*
         a[7]*a[11] + 9240*a[1]^6*a[3]^3*
         a[5]*a[7]*a[11] + 120*a[1]*a[3]*
         a[5]^2*a[7]*a[11] + 420*a[1]^3*
         a[3]*a[5]^2*a[7]*a[11] + 
        3960*a[1]^7*a[3]*a[5]^2*a[7]*
         a[11] + 120*a[1]^3*a[6]^2*a[7]*
         a[11] + 105*a[1]^4*a[6]^2*a[7]*
         a[11] + 495*a[1]^8*a[6]^2*a[7]*
         a[11] + 420*a[1]^3*a[3]^2*
         a[7]^2*a[11] + 1980*a[1]^7*
         a[3]^2*a[7]^2*a[11] + 
        30*a[1]^2*a[5]*a[7]^2*a[11] + 
        210*a[1]^4*a[5]*a[7]^2*a[11] + 
        495*a[1]^8*a[5]*a[7]^2*a[11] + 
        180*a[1]^2*a[3]^2*a[6]*a[8]*
         a[11] + 840*a[1]^4*a[3]^2*a[6]*
         a[8]*a[11] + 3960*a[1]^7*a[3]^2*
         a[6]*a[8]*a[11] + 60*a[1]^2*
         a[5]*a[6]*a[8]*a[11] + 
        120*a[1]^3*a[5]*a[6]*a[8]*
         a[11] + 336*a[1]^5*a[5]*a[6]*
         a[8]*a[11] + 990*a[1]^8*a[5]*
         a[6]*a[8]*a[11] + 3*a[3]*a[8]^2*
         a[11] + 336*a[1]^5*a[3]*a[8]^2*
         a[11] + 495*a[1]^8*a[3]*a[8]^2*
         a[11] + 630*a[1]^4*a[3]^4*a[9]*
         a[11] + 2310*a[1]^6*a[3]^4*a[9]*
         a[11] + 60*a[1]*a[3]^2*a[5]*
         a[9]*a[11] + 1512*a[1]^5*a[3]^2*
         a[5]*a[9]*a[11] + 3960*a[1]^7*
         a[3]^2*a[5]*a[9]*a[11] + 
        60*a[1]^2*a[5]^2*a[9]*a[11] + 
        252*a[1]^6*a[5]^2*a[9]*a[11] + 
        495*a[1]^8*a[5]^2*a[9]*a[11] + 
        6*a[3]*a[7]*a[9]*a[11] + 
        210*a[1]^4*a[3]*a[7]*a[9]*
         a[11] + 504*a[1]^6*a[3]*a[7]*
         a[9]*a[11] + 990*a[1]^8*a[3]*
         a[7]*a[9]*a[11] + 72*a[1]^7*
         a[9]^2*a[11] + 55*a[1]^9*a[9]^2*
         a[11] + 6*a[3]*a[6]*a[10]*
         a[11] + 120*a[1]^3*a[3]*a[6]*
         a[10]*a[11] + 720*a[1]^7*a[3]*
         a[6]*a[10]*a[11] + 990*a[1]^8*
         a[3]*a[6]*a[10]*a[11] + 
        56*a[1]^6*a[8]*a[10]*a[11] + 
        90*a[1]^8*a[8]*a[10]*a[11] + 
        110*a[1]^9*a[8]*a[10]*a[11] + 
        1320*a[1]^7*a[3]^3*a[11]^2 + 
        3*a[3]*a[5]*a[11]^2 + 
        30*a[1]^2*a[3]*a[5]*a[11]^2 + 
        990*a[1]^8*a[3]*a[5]*a[11]^2 + 
        21*a[1]^5*a[7]*a[11]^2 + 
        110*a[1]^9*a[7]*a[11]^2 + 
        6*a[3]^5*a[6]*a[12] + 
        5544*a[1]^6*a[3]^5*a[6]*a[12] + 
        20*a[3]^3*a[5]*a[6]*a[12] + 
        120*a[1]*a[3]^3*a[5]*a[6]*
         a[12] + 15840*a[1]^7*a[3]^3*
         a[5]*a[6]*a[12] + 120*a[1]*a[3]*
         a[5]^2*a[6]*a[12] + 180*a[1]^2*
         a[3]*a[5]^2*a[6]*a[12] + 
        5940*a[1]^8*a[3]*a[5]^2*a[6]*
         a[12] + 60*a[1]^3*a[6]^3*
         a[12] + 220*a[1]^9*a[6]^3*
         a[12] + 180*a[1]^2*a[3]^2*a[6]*
         a[7]*a[12] + 420*a[1]^3*a[3]^2*
         a[6]*a[7]*a[12] + 5940*a[1]^8*
         a[3]^2*a[6]*a[7]*a[12] + 
        60*a[1]^2*a[5]*a[6]*a[7]*a[12] + 
        120*a[1]^3*a[5]*a[6]*a[7]*
         a[12] + 210*a[1]^4*a[5]*a[6]*
         a[7]*a[12] + 1320*a[1]^9*a[5]*
         a[6]*a[7]*a[12] + 280*a[1]^3*
         a[3]^4*a[8]*a[12] + 3960*a[1]^7*
         a[3]^4*a[8]*a[12] + 
        60*a[1]*a[3]^2*a[5]*a[8]*a[12] + 
        840*a[1]^4*a[3]^2*a[5]*a[8]*
         a[12] + 5940*a[1]^8*a[3]^2*a[5]*
         a[8]*a[12] + 60*a[1]^2*a[5]^2*
         a[8]*a[12] + 168*a[1]^5*a[5]^2*
         a[8]*a[12] + 660*a[1]^9*a[5]^2*
         a[8]*a[12] + 6*a[3]*a[7]*a[8]*
         a[12] + 210*a[1]^4*a[3]*a[7]*
         a[8]*a[12] + 336*a[1]^5*a[3]*
         a[7]*a[8]*a[12] + 1320*a[1]^9*
         a[3]*a[7]*a[8]*a[12] + 
        6*a[3]*a[6]*a[9]*a[12] + 
        120*a[1]^3*a[3]*a[6]*a[9]*
         a[12] + 504*a[1]^6*a[3]*a[6]*
         a[9]*a[12] + 1320*a[1]^9*a[3]*
         a[6]*a[9]*a[12] + 56*a[1]^6*
         a[8]*a[9]*a[12] + 72*a[1]^7*
         a[8]*a[9]*a[12] + 132*a[1]^10*
         a[8]*a[9]*a[12] + 840*a[1]^6*
         a[3]^3*a[10]*a[12] + 
        1980*a[1]^8*a[3]^3*a[10]*a[12] + 
        6*a[3]*a[5]*a[10]*a[12] + 
        60*a[1]^2*a[3]*a[5]*a[10]*
         a[12] + 720*a[1]^7*a[3]*a[5]*
         a[10]*a[12] + 1320*a[1]^9*a[3]*
         a[5]*a[10]*a[12] + 42*a[1]^5*
         a[7]*a[10]*a[12] + 90*a[1]^8*
         a[7]*a[10]*a[12] + 132*a[1]^10*
         a[7]*a[10]*a[12] + 30*a[1]^4*
         a[6]*a[11]*a[12] + 110*a[1]^9*
         a[6]*a[11]*a[12] + 132*a[1]^10*
         a[6]*a[11]*a[12] + 3*a[3]^2*
         a[12]^2 + 660*a[1]^9*a[3]^2*
         a[12]^2 + 10*a[1]^3*a[5]*
         a[12]^2 + 132*a[1]^10*a[5]*
         a[12]^2 + 6*a[4]^5*
         ((1 + 7*a[1])*a[6]*a[7] + 
          84*a[1]*a[2]^3*a[9] + 
          28*a[2]^2*(a[3]*a[8] + 
            15*a[1]^3*a[10]) + 
          7*a[2]*(a[5]*a[7] + 36*a[1]^2*
             a[3]*a[9] + 66*a[1]^5*
             a[11]) + 2*a[1]*
           (14*a[3]^2*a[8] + 14*a[1]*
             a[5]*a[8] + 105*a[1]^3*a[3]*
             a[10] + 66*a[1]^6*a[12])) + 
        1716*a[1]^6*a[3]^7*a[13] + 
        10296*a[1]^7*a[3]^5*a[5]*a[13] + 
        20*a[3]^3*a[5]^2*a[13] + 
        12870*a[1]^8*a[3]^3*a[5]^2*
         a[13] + 60*a[1]*a[3]*a[5]^3*
         a[13] + 2860*a[1]^9*a[3]*a[5]^3*
         a[13] + 180*a[1]^2*a[3]^2*
         a[6]^2*a[13] + 4290*a[1]^9*
         a[3]^2*a[6]^2*a[13] + 
        30*a[1]^2*a[5]*a[6]^2*a[13] + 
        120*a[1]^3*a[5]*a[6]^2*a[13] + 
        858*a[1]^10*a[5]*a[6]^2*a[13] + 
        105*a[1]^2*a[3]^4*a[7]*a[13] + 
        6435*a[1]^8*a[3]^4*a[7]*a[13] + 
        60*a[1]*a[3]^2*a[5]*a[7]*a[13] + 
        420*a[1]^3*a[3]^2*a[5]*a[7]*
         a[13] + 8580*a[1]^9*a[3]^2*a[5]*
         a[7]*a[13] + 60*a[1]^2*a[5]^2*
         a[7]*a[13] + 105*a[1]^4*a[5]^2*
         a[7]*a[13] + 858*a[1]^10*a[5]^2*
         a[7]*a[13] + 3*a[3]*a[7]^2*
         a[13] + 210*a[1]^4*a[3]*a[7]^2*
         a[13] + 858*a[1]^10*a[3]*a[7]^2*
         a[13] + 6*a[3]*a[6]*a[8]*
         a[13] + 120*a[1]^3*a[3]*a[6]*
         a[8]*a[13] + 336*a[1]^5*a[3]*
         a[6]*a[8]*a[13] + 1716*a[1]^10*
         a[3]*a[6]*a[8]*a[13] + 
        56*a[1]^6*a[8]^2*a[13] + 
        78*a[1]^11*a[8]^2*a[13] + 
        504*a[1]^5*a[3]^3*a[9]*a[13] + 
        2860*a[1]^9*a[3]^3*a[9]*a[13] + 
        6*a[3]*a[5]*a[9]*a[13] + 
        60*a[1]^2*a[3]*a[5]*a[9]*a[13] + 
        504*a[1]^6*a[3]*a[5]*a[9]*
         a[13] + 1716*a[1]^10*a[3]*a[5]*
         a[9]*a[13] + 42*a[1]^5*a[7]*
         a[9]*a[13] + 72*a[1]^7*a[7]*
         a[9]*a[13] + 156*a[1]^11*a[7]*
         a[9]*a[13] + 30*a[1]^4*a[6]*
         a[10]*a[13] + 90*a[1]^8*a[6]*
         a[10]*a[13] + 156*a[1]^11*a[6]*
         a[10]*a[13] + 6*a[3]^2*a[11]*
         a[13] + 495*a[1]^8*a[3]^2*a[11]*
         a[13] + 858*a[1]^10*a[3]^2*
         a[11]*a[13] + 20*a[1]^3*a[5]*
         a[11]*a[13] + 110*a[1]^9*a[5]*
         a[11]*a[13] + 156*a[1]^11*a[5]*
         a[11]*a[13] + 3*a[1]*a[3]*
         a[13]^2 + 156*a[1]^11*a[3]*
         a[13]^2 + 14*a[1]*a[2]^13*
         a[14] + 30*a[1]*a[3]^4*a[6]*
         a[14] + 10010*a[1]^9*a[3]^4*
         a[6]*a[14] + 60*a[1]*a[3]^2*
         a[5]*a[6]*a[14] + 180*a[1]^2*
         a[3]^2*a[5]*a[6]*a[14] + 
        12012*a[1]^10*a[3]^2*a[5]*a[6]*
         a[14] + 60*a[1]^2*a[5]^2*a[6]*
         a[14] + 60*a[1]^3*a[5]^2*a[6]*
         a[14] + 1092*a[1]^11*a[5]^2*
         a[6]*a[14] + 6*a[3]*a[6]*a[7]*
         a[14] + 120*a[1]^3*a[3]*a[6]*
         a[7]*a[14] + 210*a[1]^4*a[3]*
         a[6]*a[7]*a[14] + 2184*a[1]^11*
         a[3]*a[6]*a[7]*a[14] + 
        280*a[1]^4*a[3]^3*a[8]*a[14] + 
        4004*a[1]^10*a[3]^3*a[8]*a[14] + 
        6*a[3]*a[5]*a[8]*a[14] + 
        60*a[1]^2*a[3]*a[5]*a[8]*a[14] + 
        336*a[1]^5*a[3]*a[5]*a[8]*
         a[14] + 2184*a[1]^11*a[3]*a[5]*
         a[8]*a[14] + 42*a[1]^5*a[7]*
         a[8]*a[14] + 56*a[1]^6*a[7]*
         a[8]*a[14] + 182*a[1]^12*a[7]*
         a[8]*a[14] + 30*a[1]^4*a[6]*
         a[9]*a[14] + 72*a[1]^7*a[6]*
         a[9]*a[14] + 182*a[1]^12*a[6]*
         a[9]*a[14] + 6*a[3]^2*a[10]*
         a[14] + 360*a[1]^7*a[3]^2*a[10]*
         a[14] + 1092*a[1]^11*a[3]^2*
         a[10]*a[14] + 20*a[1]^3*a[5]*
         a[10]*a[14] + 90*a[1]^8*a[5]*
         a[10]*a[14] + 182*a[1]^12*a[5]*
         a[10]*a[14] + 6*a[1]*a[3]*a[12]*
         a[14] + 132*a[1]^10*a[3]*a[12]*
         a[14] + 182*a[1]^12*a[3]*a[12]*
         a[14] + 14*a[1]^13*a[14]^2 + 
        5005*a[1]^9*a[3]^6*a[15] + 
        5*a[3]^4*a[5]*a[15] + 
        15015*a[1]^10*a[3]^4*a[5]*
         a[15] + 60*a[1]*a[3]^2*a[5]^2*
         a[15] + 8190*a[1]^11*a[3]^2*
         a[5]^2*a[15] + 30*a[1]^2*a[5]^3*
         a[15] + 455*a[1]^12*a[5]^3*
         a[15] + 3*a[3]*a[6]^2*a[15] + 
        120*a[1]^3*a[3]*a[6]^2*a[15] + 
        1365*a[1]^12*a[3]*a[6]^2*a[15] + 
        140*a[1]^3*a[3]^3*a[7]*a[15] + 
        5460*a[1]^11*a[3]^3*a[7]*a[15] + 
        6*a[3]*a[5]*a[7]*a[15] + 
        60*a[1]^2*a[3]*a[5]*a[7]*a[15] + 
        210*a[1]^4*a[3]*a[5]*a[7]*
         a[15] + 2730*a[1]^12*a[3]*a[5]*
         a[7]*a[15] + 42*a[1]^5*a[7]^2*
         a[15] + 105*a[1]^13*a[7]^2*
         a[15] + 30*a[1]^4*a[6]*a[8]*
         a[15] + 56*a[1]^6*a[6]*a[8]*
         a[15] + 210*a[1]^13*a[6]*a[8]*
         a[15] + 6*a[3]^2*a[9]*a[15] + 
        252*a[1]^6*a[3]^2*a[9]*a[15] + 
        1365*a[1]^12*a[3]^2*a[9]*a[15] + 
        20*a[1]^3*a[5]*a[9]*a[15] + 
        72*a[1]^7*a[5]*a[9]*a[15] + 
        210*a[1]^13*a[5]*a[9]*a[15] + 
        6*a[1]*a[3]*a[11]*a[15] + 
        110*a[1]^9*a[3]*a[11]*a[15] + 
        210*a[1]^13*a[3]*a[11]*a[15] + 
        13*a[1]^12*a[13]*a[15] + 
        15*a[1]^14*a[13]*a[15] + 
        13*a[2]^12*(a[3]*a[13] + 
          35*a[1]^3*a[15]) + 
        a[4]^4*(105*a[1]*a[5]^2*a[7] + 
          210*a[1]*a[3]*a[7]^2 + 
          30*a[3]*a[6]*a[8] + 840*a[1]^2*
           a[3]*a[6]*a[8] + 280*a[1]^3*
           a[8]^2 + 1260*a[1]^2*a[3]^3*
           a[9] + 105*a[1]^2*a[7]*a[9] + 
          630*a[1]^4*a[7]*a[9] + 
          1260*a[1]*a[2]^5*a[10] + 
          30*a[1]*a[6]*a[10] + 
          1260*a[1]^5*a[6]*a[10] + 
          6930*a[1]^5*a[3]^2*a[11] + 
          210*a[2]^4*(3*a[3]*a[9] + 
            55*a[1]^3*a[11]) + 
          5*a[5]*(6*a[6]^2 + 21*a[3]^2*
             a[7] + 56*a[2]^3*a[8] + 
            756*a[1]^2*a[2]^2*a[9] + 
            168*a[3]*(2*a[1]*a[2]*a[8] + 
             3*a[1]^3*a[9]) + 
            1260*a[1]^4*a[2]*a[10] + 
            a[11] + 462*a[1]^6*a[11]) + 
          2520*a[2]^3*(5*a[1]^2*a[3]*
             a[10] + 11*a[1]^5*a[12]) + 
          6435*a[1]^8*a[3]*a[13] + 
          15*a[2]^2*(7*a[7]^2 + 
            2*a[1]*(28*a[6]*a[8] + 
             126*a[3]^2*a[9] + 1155*a[1]^
             3*a[3]*a[11] + 858*a[1]^6*a[
             13])) + 10*a[2]*
           (28*a[3]^3*a[8] + 21*a[1]*
             a[7]*a[8] + 84*a[1]^2*a[7]*
             a[8] + 3*a[6]*a[9] + 
            252*a[1]^3*a[6]*a[9] + 
            1260*a[1]^3*a[3]^2*a[10] + 
            21*a[3]*(a[6]*a[7] + 
             132*a[1]^6*a[12]) + 
            1001*a[1]^9*a[14]) + 
          4*a[15] + 1365*a[1]^11*
           a[15]) + 60*a[1]^2*a[3]^3*
         a[6]*a[16] + 7280*a[1]^12*
         a[3]^3*a[6]*a[16] + 6*a[3]*a[5]*
         a[6]*a[16] + 60*a[1]^2*a[3]*
         a[5]*a[6]*a[16] + 120*a[1]^3*
         a[3]*a[5]*a[6]*a[16] + 
        3360*a[1]^13*a[3]*a[5]*a[6]*
         a[16] + 30*a[1]^4*a[6]*a[7]*
         a[16] + 42*a[1]^5*a[6]*a[7]*
         a[16] + 240*a[1]^14*a[6]*a[7]*
         a[16] + 6*a[3]^2*a[8]*a[16] + 
        168*a[1]^5*a[3]^2*a[8]*a[16] + 
        1680*a[1]^13*a[3]^2*a[8]*a[16] + 
        20*a[1]^3*a[5]*a[8]*a[16] + 
        56*a[1]^6*a[5]*a[8]*a[16] + 
        240*a[1]^14*a[5]*a[8]*a[16] + 
        6*a[1]*a[3]*a[10]*a[16] + 
        90*a[1]^8*a[3]*a[10]*a[16] + 
        240*a[1]^14*a[3]*a[10]*a[16] + 
        12*a[1]^11*a[12]*a[16] + 
        16*a[1]^15*a[12]*a[16] + 
        12*a[2]^11*(a[5]*a[12] + 
          91*(a[1]^2*a[3]*a[14] + 
            4*a[1]^5*a[16])) + 
        6188*a[1]^12*a[3]^5*a[17] + 
        20*a[1]*a[3]^3*a[5]*a[17] + 
        9520*a[1]^13*a[3]^3*a[5]*a[17] + 
        3*a[3]*a[5]^2*a[17] + 
        60*a[1]^2*a[3]*a[5]^2*a[17] + 
        2040*a[1]^14*a[3]*a[5]^2*a[17] + 
        30*a[1]^4*a[6]^2*a[17] + 
        136*a[1]^15*a[6]^2*a[17] + 
        6*a[3]^2*a[7]*a[17] + 
        105*a[1]^4*a[3]^2*a[7]*a[17] + 
        2040*a[1]^14*a[3]^2*a[7]*a[17] + 
        20*a[1]^3*a[5]*a[7]*a[17] + 
        42*a[1]^5*a[5]*a[7]*a[17] + 
        272*a[1]^15*a[5]*a[7]*a[17] + 
        6*a[1]*a[3]*a[9]*a[17] + 
        72*a[1]^7*a[3]*a[9]*a[17] + 
        272*a[1]^15*a[3]*a[9]*a[17] + 
        11*a[1]^10*a[11]*a[17] + 
        17*a[1]^16*a[11]*a[17] + 
        11*a[2]^10*(a[7]*a[11] + 
          a[1]*(12*a[6]*a[12] + 
            13*(6*a[3]^2*a[13] + 
             6*a[1]*a[5]*a[13] + 
             105*a[1]^3*a[3]*a[15] + 
             136*a[1]^6*a[17]))) + 
        6*a[3]^2*a[6]*a[18] + 
        60*a[1]^3*a[3]^2*a[6]*a[18] + 
        2448*a[1]^15*a[3]^2*a[6]*a[18] + 
        20*a[1]^3*a[5]*a[6]*a[18] + 
        30*a[1]^4*a[5]*a[6]*a[18] + 
        306*a[1]^16*a[5]*a[6]*a[18] + 
        6*a[1]*a[3]*a[8]*a[18] + 
        56*a[1]^6*a[3]*a[8]*a[18] + 
        306*a[1]^16*a[3]*a[8]*a[18] + 
        10*a[1]^9*a[10]*a[18] + 
        18*a[1]^17*a[10]*a[18] + 
        4*a[4]^3*(5*a[5]^3*a[6] + 
          30*a[2]*a[6]^2*a[7] + 
          105*a[1]*a[2]*a[6]^2*a[7] + 
          15*a[1]*a[6]*a[7]^2 + 
          105*a[1]^2*a[6]*a[7]^2 + 
          14*a[3]^5*a[8] + 30*a[1]*
           a[6]^2*a[8] + 140*a[1]^3*
           a[6]^2*a[8] + 70*a[2]^4*a[7]*
           a[8] + 280*a[1]*a[2]^3*
           a[8]^2 + 630*a[1]*a[2]^4*a[6]*
           a[9] + 35*a[2]^3*a[7]*a[9] + 
          1260*a[1]^2*a[2]^3*a[7]*a[9] + 
          420*a[1]^2*a[2]^2*a[8]*a[9] + 
          1260*a[1]^3*a[2]^2*a[8]*a[9] + 
          630*a[1]^4*a[2]*a[9]^2 + 
          4200*a[1]^3*a[2]^3*a[6]*
           a[10] + 105*a[1]*a[2]^2*a[7]*
           a[10] + 3150*a[1]^4*a[2]^2*
           a[7]*a[10] + 280*a[1]^3*a[2]*
           a[8]*a[10] + 1260*a[1]^5*a[2]*
           a[8]*a[10] + 3*a[9]*a[10] + 
          126*a[1]^5*a[9]*a[10] + 
          210*a[1]^6*a[9]*a[10] + 
          210*a[3]^4*(3*a[1]*a[2]*a[9] + 
            5*a[1]^3*a[10]) + 
          5*a[5]^2*(84*a[1]*a[2]^2*
             a[8] + 84*a[1]^2*a[3]*
             a[8] + 21*a[2]*(a[3]*a[7] + 
             12*a[1]^3*a[9]) + a[10] + 
            126*a[1]^5*a[10]) + 
          330*a[1]*a[2]^7*a[11] + 
          15*a[2]^2*a[6]*a[11] + 
          6930*a[1]^5*a[2]^2*a[6]*
           a[11] + 105*a[1]^2*a[2]*a[7]*
           a[11] + 2310*a[1]^6*a[2]*a[7]*
           a[11] + 3*a[8]*a[11] + 
          70*a[1]^4*a[8]*a[11] + 
          330*a[1]^7*a[8]*a[11] + 
          4620*a[1]^3*a[2]^6*a[12] + 
          30*a[1]*a[2]*a[6]*a[12] + 
          3960*a[1]^7*a[2]*a[6]*a[12] + 
          3*a[7]*a[12] + 35*a[1]^3*a[7]*
           a[12] + 495*a[1]^8*a[7]*
           a[12] + 35*a[3]^3*
           (a[6]*a[7] + 6*(2*a[2]^3*a[
             9] + 30*a[1]^2*a[2]^2*a[
             10] + 55*a[1]^4*a[2]*a[
             11] + 22*a[1]^6*a[12])) + 
          18018*a[1]^5*a[2]^5*a[13] + 
          3*a[6]*a[13] + 15*a[1]^2*a[6]*
           a[13] + 715*a[1]^9*a[6]*
           a[13] + 30030*a[1]^7*a[2]^4*
           a[14] + 5*a[3]^2*
           (21*a[1]*a[7]*a[8] + 
            84*a[1]^2*a[7]*a[8] + 
            3*a[6]*a[9] + 252*a[1]^3*
             a[6]*a[9] + 630*a[1]*a[2]^4*
             a[10] + 4620*a[1]^3*a[2]^3*
             a[11] + 8316*a[1]^5*a[2]^2*
             a[12] + 3*a[2]*(7*a[7]^2 + 
             56*a[1]*a[6]*a[8] + 
             1716*a[1]^7*a[13]) + 
            1001*a[1]^9*a[14]) + 
          a[5]*(280*a[1]*a[3]^3*a[8] + 
            5*a[7]*a[8] + 105*a[1]^2*
             a[7]*a[8] + 280*a[1]^3*a[7]*
             a[8] + 126*a[2]^5*a[9] + 
            5*a[6]*a[9] + 30*a[1]*a[6]*
             a[9] + 630*a[1]^4*a[6]*
             a[9] + 3150*a[1]^2*a[2]^4*
             a[10] + 3150*a[1]^4*a[3]^2*
             a[10] + 210*a[2]^3*
             (12*a[1]*a[3]*a[9] + 
             55*a[1]^4*a[11]) + 
            5*a[3]*(6*(1 + 7*a[1])*a[6]*
             a[7] + (1 + 792*a[1]^7)*a[
             12]) + 105*a[2]^2*
             (a[6]*a[7] + 4*(a[3]^2*
             a[8] + 30*a[1]^3*a[3]*
             a[10] + 33*a[1]^6*a[12])) + 
            5*a[2]*(42*a[1]*a[7]^2 + 
             6*a[6]*a[8] + 84*a[1]^2*(
             2*a[6]*a[8] + 9*a[3]^2*
             a[9]) + 2772*a[1]^5*a[3]*a[
             11] + a[13] + 1287*a[1]^8*a[
             13]) + 3*a[14] + 5*a[1]*
             a[14] + 1001*a[1]^10*
             a[14]) + 25025*a[1]^9*
           a[2]^3*a[15] + 10920*a[1]^11*
           a[2]^2*a[16] + a[3]*
           (15*a[6]^3 + 280*a[1]^3*a[8]*
             a[9] + 630*a[1]^4*a[8]*
             a[9] + 210*a[2]^6*a[10] + 
            105*a[1]^2*a[7]*a[10] + 
            1260*a[1]^5*a[7]*a[10] + 
            6930*a[1]^2*a[2]^5*a[11] + 
            10*a[6]*(28*a[2]^3*a[8] + 
             378*a[1]^2*a[2]^2*a[9] + 
             3*(1 + 210*a[1]^4)*a[2]*a[
             10] + 3*a[1]*(1 + 77*a[1]^
             5)*a[11]) + 34650*a[1]^4*
             a[2]^4*a[12] + 60060*a[1]^6*
             a[2]^3*a[13] + 105*a[2]^2*
             ((1 + 8*a[1])*a[7]*a[8] + 
             429*a[1]^8*a[14]) + 
            105*a[1]*a[2]*(8*a[1]*a[8]^
             2 + 2*a[7]*a[9] + 24*a[1]^
             2*a[7]*a[9] + 143*a[1]^9*a[
             15]) + 3*a[16] + 
            1820*a[1]^12*a[16]) + 
          3*a[2]*a[17] + 2380*a[1]^13*
           a[2]*a[17] + 3*a[1]*a[18] + 
          204*a[1]^15*a[18]) + 
        10*a[2]^9*(a[9]*a[10] + 
          11*(2*a[3]^3*a[12] + 
            182*a[1]^3*a[3]^2*a[14] + 
            a[3]*(a[6]*a[11] + 12*a[1]*a[
             5]*a[12] + 728*a[1]^6*a[
             16]) + a[1]*(a[8]*a[11] + 
             a[1]*(6*a[7]*a[12] + 
             13*a[1]*(2*a[6]*a[13] + 
             7*a[1]*a[5]*a[14] + 34*
             a[1]^6*a[18]))))) + 
        3876*a[1]^15*a[3]^4*a[19] + 
        6*a[3]^2*a[5]*a[19] + 
        30*a[1]^2*a[3]^2*a[5]*a[19] + 
        2907*a[1]^16*a[3]^2*a[5]*a[19] + 
        20*a[1]^3*a[5]^2*a[19] + 
        171*a[1]^17*a[5]^2*a[19] + 
        6*a[1]*a[3]*a[7]*a[19] + 
        42*a[1]^5*a[3]*a[7]*a[19] + 
        342*a[1]^17*a[3]*a[7]*a[19] + 
        9*a[1]^8*a[9]*a[19] + 
        19*a[1]^18*a[9]*a[19] + 
        9*a[2]^8*(10*a[1]*a[10]^2 + 
          55*a[1]*a[5]^2*a[11] + 
          a[9]*a[11] + 55*a[1]^2*a[9]*
           a[11] + 220*a[1]^3*a[8]*
           a[12] + 1430*a[1]^2*a[3]^3*
           a[13] + 715*a[1]^4*a[7]*
           a[13] + 2002*a[1]^5*a[6]*
           a[14] + 15015*a[1]^5*a[3]^2*
           a[15] + 5*a[5]*
           (2*a[6]*a[10] + 
            11*(a[3]^2*a[11] + 52*a[1]^
             3*a[3]*a[13] + 91*a[1]^6*a[
             15])) + 10*a[3]*
           (a[8]*a[10] + 11*a[1]*
             (a[7]*a[11] + 6*a[1]*a[6]*a[
             12] + 221*a[1]^7*a[17])) + 
          8398*a[1]^11*a[19]) + 
        6*a[1]*a[3]*a[6]*a[20] + 
        30*a[1]^4*a[3]*a[6]*a[20] + 
        380*a[1]^18*a[3]*a[6]*a[20] + 
        8*a[1]^7*a[8]*a[20] + 
        20*a[1]^19*a[8]*a[20] + 
        8*a[2]^7*(45*a[1]*a[6]^2*a[10] + 
          45*a[3]^2*a[7]*a[10] + 
          9*a[3]*a[9]*a[10] + 
          90*a[1]*a[3]*a[9]*a[10] + 
          495*a[1]^2*a[3]*a[8]*a[11] + 
          45*a[1]^2*a[10]*a[11] + 
          165*a[1]^3*a[10]*a[11] + 
          495*a[1]*a[3]^4*a[12] + 
          1980*a[1]^3*a[3]*a[7]*a[12] + 
          9*a[1]*a[9]*a[12] + 495*a[1]^4*
           a[9]*a[12] + 45*a[5]^2*
           (a[3]*a[10] + 22*a[1]^3*
             a[12]) + a[8]*a[13] + 
          1287*a[1]^5*a[8]*a[13] + 
          15015*a[1]^4*a[3]^3*a[14] + 
          3003*a[1]^6*a[7]*a[14] + 
          9*a[6]*(a[7]*a[9] + 55*a[1]*
             (a[3]^2*a[11] + a[1]*a[5]*a[
             11] + 13*a[1]^3*a[3]*a[
             13] + 13*a[1]^6*a[15])) + 
          51480*a[1]^7*a[3]^2*a[16] + 
          9*a[5]*(a[8]*a[9] + 2*a[1]*
             (5*a[7]*a[10] + 165*a[1]*
             a[3]^2*a[12] + 1001*a[1]^4*
             a[3]*a[14] + 715*a[1]^7*a[
             16])) + 43758*a[1]^10*a[3]*
           a[18] + 9690*a[1]^13*a[20]) + 
        3*a[3]^3*a[21] + 1330*a[1]^18*
         a[3]^3*a[21] + 6*a[1]*a[3]*a[5]*
         a[21] + 20*a[1]^3*a[3]*a[5]*
         a[21] + 420*a[1]^19*a[3]*a[5]*
         a[21] + 7*a[1]^6*a[7]*a[21] + 
        21*a[1]^20*a[7]*a[21] + 
        3*a[4]^2*(20*a[1]*a[6]^4 + 
          10*a[5]*a[6]^2*a[7] + 
          120*a[1]*a[5]*a[6]^2*a[7] + 
          210*a[1]^2*a[5]*a[6]^2*a[7] + 
          10*a[5]^2*a[7]^2 + 210*a[1]^2*
           a[5]^2*a[7]^2 + 20*a[5]^2*
           a[6]*a[8] + 60*a[1]*a[5]^2*
           a[6]*a[8] + 560*a[1]^3*a[5]^2*
           a[6]*a[8] + 4*a[7]*a[8]^2 + 
          70*a[1]^3*a[7]*a[8]^2 + 
          280*a[1]^4*a[7]*a[8]^2 + 
          84*a[1]*a[3]^6*a[9] + 
          10*a[5]^3*a[9] + 420*a[1]^4*
           a[5]^3*a[9] + 4*a[7]^2*a[9] + 
          140*a[1]^3*a[7]^2*a[9] + 
          252*a[1]^5*a[7]^2*a[9] + 
          8*a[6]*a[8]*a[9] + 60*a[1]^2*
           a[6]*a[8]*a[9] + 280*a[1]^4*
           a[6]*a[8]*a[9] + 504*a[1]^5*
           a[6]*a[8]*a[9] + 4*a[5]*
           a[9]^2 + 10*a[1]*a[5]*
           a[9]^2 + 504*a[1]^5*a[5]*
           a[9]^2 + 8*a[6]*a[7]*a[10] + 
          60*a[1]^2*a[6]*a[7]*a[10] + 
          140*a[1]^3*a[6]*a[7]*a[10] + 
          840*a[1]^6*a[6]*a[7]*a[10] + 
          8*a[5]*a[8]*a[10] + 
          20*a[1]*a[5]*a[8]*a[10] + 
          280*a[1]^4*a[5]*a[8]*a[10] + 
          840*a[1]^6*a[5]*a[8]*a[10] + 
          4*a[6]^2*a[11] + 60*a[1]^2*
           a[6]^2*a[11] + 660*a[1]^7*
           a[6]^2*a[11] + 8*a[5]*a[7]*
           a[11] + 20*a[1]*a[5]*a[7]*
           a[11] + 140*a[1]^3*a[5]*a[7]*
           a[11] + 1320*a[1]^7*a[5]*a[7]*
           a[11] + 4*a[1]*a[11]^2 + 
          165*a[1]^8*a[11]^2 + 
          42*a[3]^5*(6*a[2]^2*a[9] + 
            60*a[1]^2*a[2]*a[10] + 
            55*a[1]^4*a[11]) + 
          220*a[1]*a[2]^9*a[12] + 
          8*a[5]*a[6]*a[12] + 
          20*a[1]*a[5]*a[6]*a[12] + 
          60*a[1]^2*a[5]*a[6]*a[12] + 
          1980*a[1]^8*a[5]*a[6]*a[12] + 
          8*a[1]*a[10]*a[12] + 
          120*a[1]^7*a[10]*a[12] + 
          220*a[1]^9*a[10]*a[12] + 
          4290*a[1]^3*a[2]^8*a[13] + 
          4*a[5]^2*a[13] + 20*a[1]*
           a[5]^2*a[13] + 1430*a[1]^9*
           a[5]^2*a[13] + 8*a[1]*a[9]*
           a[13] + 84*a[1]^6*a[9]*
           a[13] + 286*a[1]^10*a[9]*
           a[13] + 5*a[3]^4*(7*a[7]^2 + 
            4*(210*a[1]*a[2]^3*a[10] + 
             1155*a[1]^3*a[2]^2*a[11] + 
             14*a[2]*(a[5]*a[8] + 
             99*a[1]^5*a[12]) + 
             a[1]*(14*a[6]*a[8] + 
             63*a[1]*a[5]*a[9] + 429*
             a[1]^6*a[13]))) + 
          8*a[1]*a[8]*a[14] + 56*a[1]^5*
           a[8]*a[14] + 364*a[1]^11*a[8]*
           a[14] + 24*a[2]^7*
           (5*a[5]*a[10] + 1001*a[1]^5*
             a[14]) + 8*a[1]*a[7]*
           a[15] + 35*a[1]^4*a[7]*
           a[15] + 455*a[1]^12*a[7]*
           a[15] + 10*a[3]^3*
           (7*a[5]^2*a[7] + 56*a[1]^2*
             a[8]^2 + 14*a[1]*a[7]*
             a[9] + 168*a[1]^3*a[7]*
             a[9] + 84*a[2]^5*a[10] + 
            2*a[6]*a[10] + 420*a[1]^4*
             a[6]*a[10] + 2310*a[1]^2*
             a[2]^4*a[11] + 84*a[5]*
             (6*a[1]*a[2]^2*a[9] + 
             20*a[1]^3*a[2]*a[10] + 
             11*a[1]^5*a[11]) + 
            9240*a[1]^4*a[2]^3*a[12] + 
            28*a[2]^2*(2*a[6]*a[8] + 
             429*a[1]^6*a[13]) + 
            14*a[2]*((1 + 8*a[1])*a[7]*a[
             8] + 36*a[1]^2*a[6]*a[9] + 
             429*a[1]^8*a[14]) + 
            1001*a[1]^10*a[15]) + 
          84*a[2]^6*(a[7]*a[9] + 
            5*a[1]*(2*a[6]*a[10] + 
             11*a[1]*a[5]*a[11] + 
             143*a[1]^6*a[15])) + 
          8*a[1]*a[6]*a[16] + 20*a[1]^3*
           a[6]*a[16] + 560*a[1]^13*a[6]*
           a[16] + 56*a[2]^5*
           ((1 + 9*a[1])*a[8]*a[9] + 
            5*a[1]^2*(9*a[7]*a[10] + 
             11*a[1]*(3*a[6]*a[11] + 
             9*a[1]*a[5]*a[12] + 
             26*a[1]^6*a[16]))) + 
          8*a[1]*a[5]*a[17] + 10*a[1]^2*
           a[5]*a[17] + 680*a[1]^14*a[5]*
           a[17] + 35*a[2]^4*
           (36*a[1]*a[5]^2*a[9] + 
            36*a[1]^2*a[9]^2 + 
            8*a[1]*a[8]*a[10] + 
            120*a[1]^3*a[8]*a[10] + 
            a[7]*a[11] + 330*a[1]^4*a[7]*
             a[11] + 792*a[1]^5*a[6]*
             a[12] + 4*a[5]*
             (2*a[6]*a[8] + 429*a[1]^6*a[
             13]) + 1768*a[1]^11*
             a[17]) + 2*a[3]^2*
           (15*(2 + 7*a[1])*a[6]^2*
             a[7] + 210*a[1]*a[5]*
             a[7]^2 + 1260*a[1]^3*a[5]^2*
             a[9] + 630*a[1]^4*a[9]^2 + 
            280*a[1]^3*a[8]*a[10] + 
            1260*a[1]^5*a[8]*a[10] + 
            2310*a[1]*a[2]^6*a[11] + 
            105*a[1]^2*a[7]*a[11] + 
            2310*a[1]^6*a[7]*a[11] + 
            27720*a[1]^3*a[2]^5*a[12] + 
            30*a[6]*((1 + 28*a[1]^2)*a[
             5]*a[8] + a[1]*(1 + 132*
             a[1]^6)*a[12]) + 5*a[5]*
             a[13] + 6435*a[1]^8*a[5]*
             a[13] + 630*a[2]^4*
             (a[5]*a[9] + 143*a[1]^5*a[
             13]) + 280*a[2]^3*
             (a[7]*a[8] + 9*a[1]*a[6]*a[
             9] + 45*a[1]^2*a[5]*a[10] + 
             429*a[1]^7*a[14]) + 
            105*a[2]^2*(8*a[1]*a[8]^2 + 
             a[7]*a[9] + 36*a[1]^2*a[7]*
             a[9] + 120*a[1]^3*a[6]*a[
             10] + 330*a[1]^4*a[5]*a[
             11] + 715*a[1]^9*a[15]) + 
            30*a[2]*(28*a[1]*a[5]^2*a[
             8] + 28*a[1]^2*a[8]*a[9] + 
             84*a[1]^3*a[8]*a[9] + 
             7*a[1]*a[7]*a[10] + 
             210*a[1]^4*a[7]*a[10] + 
             a[6]*a[11] + 462*a[1]^5*a[
             6]*a[11] + 7*a[5]*(a[6]*
             a[7] + 132*a[1]^6*a[12]) + 
             728*a[1]^11*a[16]) + 
            2*a[17] + 2380*a[1]^13*
             a[17]) + 20*a[2]^3*
           (28*a[1]*a[6]^2*a[8] + 
            a[6]*(7*a[7]^2 + 252*a[1]^2*
             a[5]*a[9] + a[13] + 
             1716*a[1]^7*a[13]) + 
            7*(60*a[1]^3*a[5]^2*a[10] + 
             a[5]*((1 + 8*a[1])*a[7]*
             a[8] + 429*a[1]^8*a[14]) + 
             a[1]*(12*a[1]^2*a[9]*
             a[10] + 30*a[1]^3*a[9]*
             a[10] + 4*a[1]*a[8]*a[11] + 
             66*a[1]^4*a[8]*a[11] + 
             a[7]*a[12] + 132*a[1]^5*
             a[7]*a[12] + 204*a[1]^12*
             a[18]))) + a[3]*
           (140*a[1]*a[5]^3*a[7] + 
            210*a[1]^2*a[7]^3 + 
            120*a[1]*a[6]*a[7]*a[8] + 
            420*a[1]^2*a[6]*a[7]*a[8] + 
            1120*a[1]^3*a[6]*a[7]*a[8] + 
            120*a[1]*a[6]^2*a[9] + 
            1260*a[1]^4*a[6]^2*a[9] + 
            4*a[10]^2 + 840*a[1]^6*
             a[10]^2 + 165*a[2]^8*
             a[11] + 8*a[9]*a[11] + 
            504*a[1]^5*a[9]*a[11] + 
            1320*a[1]^7*a[9]*a[11] + 
            20*a[5]^2*(3*a[6]^2 + 
             28*a[2]^3*a[8] + 378*a[1]^
             2*a[2]^2*a[9] + 630*a[1]^4*
             a[2]*a[10] + (1 + 231*
             a[1]^6)*a[11]) + 
            7920*a[1]^2*a[2]^7*a[12] + 
            8*a[8]*a[12] + 280*a[1]^4*
             a[8]*a[12] + 1980*a[1]^8*
             a[8]*a[12] + 60060*a[1]^4*
             a[2]^6*a[13] + 8*a[7]*
             a[13] + 140*a[1]^3*a[7]*
             a[13] + 2860*a[1]^9*a[7]*
             a[13] + 8*a[6]*a[14] + 
            60*a[1]^2*a[6]*a[14] + 
            4004*a[1]^10*a[6]*a[14] + 
            168*a[2]^5*(3*a[6]*a[9] + 
             1001*a[1]^6*a[14]) + 
            35*a[2]^4*(8*a[8]^2 + 
             9*a[1]*(8*a[7]*a[9] + 
             40*a[1]*a[6]*a[10] + 
             715*a[1]^7*a[15])) + 
            2*a[5]*((5 + 560*a[1]^3)*
             a[8]^2 + 2520*a[1]*a[2]^5*a[
             10] + 23100*a[1]^3*a[2]^4*a[
             11] + 55440*a[1]^5*a[2]^3*a[
             12] + 30*a[2]^2*(7*a[7]^2 + 
             56*a[1]*a[6]*a[8] + 1716*
             a[1]^7*a[13]) + 10*a[2]*(
             42*a[1]*a[7]*a[8] + 168*
             a[1]^2*a[7]*a[8] + 6*a[6]*
             a[9] + 504*a[1]^3*a[6]*
             a[9] + a[14] + 2002*a[1]^9*
             a[14]) + 2*(5*(1 + 21*a[1]^
             2 + 126*a[1]^4)*a[7]*a[9] + 
             5*(1 + 6*a[1] + 252*a[1]^5)*
             a[6]*a[10] + (2 + 5*a[1] + 
             1365*a[1]^11)*a[15])) + 
            140*a[2]^3*(8*a[1]*a[8]*a[
             9] + 36*a[1]^2*a[8]*a[9] + 
             a[7]*a[10] + 120*a[1]^3*a[
             7]*a[10] + 330*a[1]^4*a[6]*
             a[11] + 1144*a[1]^10*a[
             16]) + 10*a[2]^2*
             (21*a[6]^2*a[7] + 6*(1 + 
             924*a[1]^6)*a[6]*a[12] + 
             14*a[1]*(36*a[1]^2*a[9]^2 + 
             12*a[1]*a[8]*a[10] + 
             90*a[1]^3*a[8]*a[10] + 
             3*a[7]*a[11] + 198*a[1]^4*
             a[7]*a[11] + 442*a[1]^11*
             a[17])) + 4*a[2]*
             (30*(1 + 14*a[1]^2)*a[6]^2*
             a[8] + 630*a[1]^4*a[9]*a[
             10] + 1260*a[1]^5*a[9]*a[
             10] + 280*a[1]^3*a[8]*a[
             11] + 2310*a[1]^6*a[8]*a[
             11] + 105*a[1]^2*a[7]*a[
             12] + 3960*a[1]^7*a[7]*a[
             12] + 15*a[6]*((1 + 14*
             a[1])*a[7]^2 + a[1]*(2 + 
             429*a[1]^7)*a[13]) + 
             2*a[18] + 3060*a[1]^14*a[
             18]) + a[19] + 8*a[1]*
             a[19] + 969*a[1]^16*
             a[19]) + 2*a[2]^2*
           (35*a[5]^3*a[7] + 1260*a[1]^5*
             a[10]^2 + 6930*a[1]^5*
             a[5]^2*a[11] + 630*a[1]^4*
             a[9]*a[11] + 2310*a[1]^6*
             a[9]*a[11] + 3960*a[1]^7*
             a[8]*a[12] + 140*a[1]^3*
             (9*a[6]^2*a[9] + 2*a[8]*a[
             12]) + 6435*a[1]^8*a[7]*
             a[13] + 105*a[1]^2*a[7]*
             (8*a[6]*a[8] + a[13]) + 
            10010*a[1]^9*a[6]*a[14] + 
            15*a[1]*(7*a[7]^3 + 
             14*a[6]*a[7]*a[8] + 
             2*a[6]*a[14]) + 5*a[5]*
             (168*a[1]^2*a[8]^2 + 
             42*a[1]*a[7]*a[9] + 
             504*a[1]^3*a[7]*a[9] + 
             6*a[6]*a[10] + 1260*a[1]^4*
             a[6]*a[10] + a[15] + 
             3003*a[1]^10*a[15]) + 
            3876*a[1]^15*a[19] + 
            2*(15*a[6]*a[7]*a[8] + 
             15*a[6]^2*a[9] + a[19])) + 
          4*a[2]*(140*a[1]^2*a[5]^3*
             a[8] + 210*a[1]^6*a[10]*
             a[11] + 330*a[1]^7*a[10]*
             a[11] + 495*a[1]^8*a[9]*
             a[12] + 5*a[5]^2*
             (3*(1 + 7*a[1])*a[6]*a[7] + 
             (1 + 396*a[1]^7)*a[12]) + 
            126*a[1]^5*(5*a[6]^2*a[10] + 
             a[9]*a[12]) + 715*a[1]^9*
             a[8]*a[13] + 70*a[1]^4*
             (9*a[6]*a[7]*a[9] + 
             a[8]*a[13]) + 1001*a[1]^10*
             a[7]*a[14] + 35*a[1]^3*
             (4*a[7]^2*a[8] + 8*a[6]*
             a[8]^2 + a[7]*a[14]) + 
            1365*a[1]^11*a[6]*a[15] + 
            15*a[1]^2*(7*a[7]^2*a[8] + 
             7*a[6]*a[7]*a[9] + a[6]*a[
             15]) + 2*(a[10]*a[11] + 
             a[9]*a[12] + a[8]*a[13] + 
             a[7]*a[14] + a[6]*a[15]) + 
            a[5]*(15*a[6]^3 + 5*(1 + 
             56*a[1]^3 + 126*a[1]^4)*a[
             8]*a[9] + 5*a[7]*a[10] + 
             105*a[1]^2*a[7]*a[10] + 
             1260*a[1]^5*a[7]*a[10] + 
             5*(1 + 6*a[1] + 462*a[1]^6)*
             a[6]*a[11] + 2*a[16] + 
             5*a[1]*a[16] + 1820*a[1]^12*
             a[16]) + 285*a[1]^17*
             a[20] + a[1]*(15*a[6]*(
             a[8]^2 + 2*a[7]*a[9]) + 
             30*a[6]^2*a[10] + 
             2*a[20])) + 4*a[1]^2*
           a[21] + 70*a[1]^19*a[21]) + 
        7*a[2]^6*(36*a[1]*a[7]^2*a[9] + 
          a[7]*(8*a[8]^2 + 360*a[1]^2*
             a[6]*a[10] + 1980*a[1]^2*
             a[3]^2*a[11] + 1320*a[1]^3*
             a[5]*a[11] + 72*a[3]*
             (a[5]*a[9] + 143*a[1]^5*a[
             13]) + a[15] + 6435*a[1]^8*
             a[15]) + 2*(6*a[5]^3*a[9] + 
            4*a[6]*a[8]*a[9] + 
            36*a[1]*a[6]*a[8]*a[9] + 
            33*a[3]^5*a[11] + 330*a[1]^3*
             a[6]^2*a[11] + 165*a[1]^4*
             a[11]^2 + 60*a[1]^3*a[10]*
             a[12] + 396*a[1]^5*a[10]*
             a[12] + 4290*a[1]^3*a[3]^4*
             a[13] + 18*a[1]^2*a[9]*
             a[13] + 858*a[1]^6*a[9]*
             a[13] + 198*a[5]^2*
             (5*a[1]^2*a[3]*a[11] + 
             13*a[1]^5*a[13]) + 
            4*a[1]*a[8]*a[14] + 
            1716*a[1]^7*a[8]*a[14] + 
            30*a[3]^3*(2*a[6]*a[10] + 
             1001*a[1]^6*a[15]) + 
            5720*a[1]^9*a[6]*a[16] + 
            2*a[3]^2*(9*a[9]^2 + 
             90*a[1]*a[8]*a[10] + 
             1980*a[1]^3*a[6]*a[12] + 
             24310*a[1]^9*a[17]) + 
            2*a[5]*(2*a[8]*a[10] + 
             90*a[1]^2*a[8]*a[10] + 
             6*a[1]*(3*a[9]^2 + 30*a[3]*
             a[6]*a[10] + 55*a[3]^3*
             a[11]) + 495*a[1]^4*(2*a[6]*
             a[12] + 13*a[3]^2*a[13]) + 
             12870*a[1]^7*a[3]*a[15] + 
             4862*a[1]^10*a[17]) + 
            2*a[3]*(9*a[6]^2*a[9] + 
             90*a[1]^2*a[10]^2 + 
             18*a[1]*a[9]*a[11] + 
             330*a[1]^3*a[9]*a[11] + 
             2*a[8]*a[12] + 990*a[1]^4*a[
             8]*a[12] + 6006*a[1]^6*a[6]*
             a[14] + 12597*a[1]^12*a[
             19]) + 3876*a[1]^15*
             a[21])) + 6*a[1]^5*a[6]*
         a[22] + 22*a[1]^21*a[6]*a[22] + 
        6*a[2]^5*(28*a[1]*a[8]^3 + 
          7*a[7]*a[8]*a[9] + 56*a[1]*
           a[7]*a[8]*a[9] + 252*a[1]^2*
           a[7]*a[8]*a[9] + 252*a[1]^2*
           a[6]*a[9]^2 + 420*a[1]^2*
           a[5]^3*a[10] + 7*a[7]^2*
           a[10] + 420*a[1]^3*a[7]^2*
           a[10] + 56*a[1]*a[6]*a[8]*
           a[10] + 840*a[1]^3*a[6]*a[8]*
           a[10] + 7*a[6]*a[7]*a[11] + 
          2310*a[1]^4*a[6]*a[7]*a[11] + 
          2772*a[1]^2*a[3]^5*a[12] + 
          2772*a[1]^5*a[6]^2*a[12] + 
          462*a[1]^5*a[11]*a[12] + 
          924*a[1]^6*a[11]*a[12] + 
          210*a[1]^4*a[10]*a[13] + 
          1716*a[1]^7*a[10]*a[13] + 
          42042*a[1]^5*a[3]^4*a[14] + 
          84*a[1]^3*a[9]*a[14] + 
          3003*a[1]^8*a[9]*a[14] + 
          28*a[5]^2*(a[7]*a[8] + 
            9*a[1]*a[6]*a[9] + 
            45*a[1]*a[3]^2*a[10] + 
            495*a[1]^4*a[3]*a[12] + 
            429*a[1]^7*a[14]) + 
          28*a[1]^2*a[8]*a[15] + 
          5005*a[1]^9*a[8]*a[15] + 
          7*a[1]*a[7]*a[16] + 
          8008*a[1]^10*a[7]*a[16] + 
          84*a[3]^3*(a[8]*a[9] + 
            5*a[1]*(2*a[7]*a[10] + 
             11*a[1]*a[6]*a[11] + 
             286*a[1]^7*a[16])) + 
          a[6]*a[17] + 12376*a[1]^11*
           a[6]*a[17] + 28*a[3]^2*
           (9*a[1]*a[9]*a[10] + 
            45*a[1]^2*a[9]*a[10] + 
            a[8]*a[11] + 165*a[1]^3*a[8]*
             a[11] + 495*a[1]^4*a[7]*
             a[12] + 1287*a[1]^5*a[6]*
             a[13] + 3978*a[1]^11*
             a[18]) + 7*a[5]*
           (4*a[6]^2*a[8] + 30*a[3]^4*
             a[10] + 36*a[1]^2*a[9]*
             a[10] + 120*a[1]^3*a[9]*
             a[10] + 8*a[1]*a[8]*a[11] + 
            330*a[1]^4*a[8]*a[11] + 
            2640*a[1]^3*a[3]^3*a[12] + 
            a[7]*a[12] + 792*a[1]^5*a[7]*
             a[12] + 12*a[6]*
             (3*a[3]^2*a[9] + 110*a[1]^
             3*a[3]*a[11] + 143*a[1]^6*a[
             13]) + 12012*a[1]^6*a[3]^2*
             a[14] + 8*a[3]*
             ((1 + 9*a[1])*a[8]*a[9] + 
             5*a[1]^2*(9*a[7]*a[10] + 
             286*a[1]^7*a[16])) + 
            2652*a[1]^12*a[18]) + 
          a[3]*(28*a[7]^2*a[8] + 
            1260*a[1]^2*a[6]^2*a[10] + 
            7*a[7]*(72*a[1]*a[6]*a[9] + 
             a[14] + 3432*a[1]^7*a[
             14]) + 7*a[6]*(8*a[8]^2 + 
             6435*a[1]^8*a[15]) + 
            2*a[1]*(420*a[1]^2*a[10]*a[
             11] + 1155*a[1]^3*a[10]*a[
             11] + 126*a[1]*a[9]*a[12] + 
             2772*a[1]^4*a[9]*a[12] + 
             28*a[8]*a[13] + 6006*a[1]^
             5*a[8]*a[13] + 19380*a[1]^
             13*a[20])) + 4389*a[1]^17*
           a[22]) + 6*a[1]*a[3]^2*
         a[23] + 253*a[1]^21*a[3]^2*
         a[23] + 5*a[1]^4*a[5]*a[23] + 
        23*a[1]^22*a[5]*a[23] + 
        5*a[2]^4*(56*a[1]*a[6]^3*a[8] + 
          21*a[3]*a[7]*a[8]^2 + 
          336*a[1]*a[3]*a[7]*a[8]^2 + 
          126*a[3]^4*a[7]*a[9] + 
          42*a[3]*a[7]^2*a[9] + 
          756*a[1]^2*a[3]*a[7]^2*a[9] + 
          168*a[1]^2*a[8]^2*a[9] + 
          252*a[1]^3*a[8]^2*a[9] + 
          504*a[1]*a[3]^3*a[9]^2 + 
          21*a[1]*a[7]*a[9]^2 + 
          504*a[1]^3*a[7]*a[9]^2 + 
          56*a[3]^3*a[8]*a[10] + 
          2520*a[1]^2*a[3]^3*a[8]*
           a[10] + 42*a[1]*a[7]*a[8]*
           a[10] + 168*a[1]^2*a[7]*a[8]*
           a[10] + 1260*a[1]^4*a[7]*a[8]*
           a[10] + 2520*a[1]^3*a[3]^2*
           a[10]^2 + 462*a[1]*a[3]^6*
           a[11] + 9240*a[1]^3*a[3]^3*
           a[7]*a[11] + 42*a[1]*a[7]^2*
           a[11] + 1386*a[1]^5*a[7]^2*
           a[11] + 756*a[1]^2*a[3]^2*
           a[9]*a[11] + 6930*a[1]^4*
           a[3]^2*a[9]*a[11] + 
          2772*a[1]^5*a[3]*a[11]^2 + 
          42*a[5]^3*(12*a[1]*a[3]*a[9] + 
            55*a[1]^4*a[11]) + 
          168*a[1]*a[3]^2*a[8]*a[12] + 
          16632*a[1]^5*a[3]^2*a[8]*
           a[12] + 1260*a[1]^4*a[3]*
           a[10]*a[12] + 5544*a[1]^6*
           a[3]*a[10]*a[12] + 792*a[1]^7*
           a[12]^2 + 18018*a[1]^4*a[3]^5*
           a[13] + 21*a[3]^2*a[7]*
           a[13] + 36036*a[1]^6*a[3]^2*
           a[7]*a[13] + 504*a[1]^3*a[3]*
           a[9]*a[13] + 10296*a[1]^7*
           a[3]*a[9]*a[13] + 462*a[1]^6*
           a[11]*a[13] + 1287*a[1]^8*
           a[11]*a[13] + 3*a[6]^2*
           (7*a[7]^2 + 2*(126*a[1]*a[3]^
             2*a[9] + 126*a[1]^2*a[5]*a[
             9] + 1155*a[1]^4*a[3]*a[
             11] + a[13] + 858*a[1]^7*a[
             13])) + 168*a[1]^2*a[3]*
           a[8]*a[14] + 18018*a[1]^8*
           a[3]*a[8]*a[14] + 252*a[1]^5*
           a[10]*a[14] + 2002*a[1]^9*
           a[10]*a[14] + 90090*a[1]^7*
           a[3]^4*a[15] + 42*a[1]*a[3]*
           a[7]*a[15] + 30030*a[1]^9*
           a[3]*a[7]*a[15] + 126*a[1]^4*
           a[9]*a[15] + 3003*a[1]^10*
           a[9]*a[15] + 21*a[5]^2*
           (8*a[1]*a[8]^2 + 36*a[1]^2*
             a[7]*a[9] + (12*a[3]^3 + 
             a[7])*a[9] + 660*a[1]^3*
             a[3]^2*a[11] + 1716*a[1]^6*
             a[3]*a[13] + 715*a[1]^9*
             a[15]) + 56*a[1]^3*a[8]*
           a[16] + 4368*a[1]^11*a[8]*
           a[16] + 136136*a[1]^10*a[3]^3*
           a[17] + 21*a[1]^2*a[7]*
           a[17] + 6188*a[1]^12*a[7]*
           a[17] + 6*a[6]*
           (210*a[1]*a[3]^4*a[10] + 
            420*a[1]^3*a[5]^2*a[10] + 
            a[9]*a[10] + 84*a[1]^3*a[9]*
             a[10] + 210*a[1]^4*a[9]*
             a[10] + a[8]*a[11] + 
            28*a[1]^2*a[8]*a[11] + 
            462*a[1]^5*a[8]*a[11] + 
            4620*a[1]^4*a[3]^3*a[12] + 
            a[7]*a[12] + 7*a[1]*a[7]*
             a[12] + 924*a[1]^6*a[7]*
             a[12] + 28*a[3]^2*
             (a[7]*a[8] + 45*a[1]^2*a[5]*
             a[10] + 429*a[1]^7*a[14]) + 
            a[5]*(7*(1 + 8*a[1])*a[7]*a[
             8] + (1 + 3003*a[1]^8)*a[
             14]) + a[3]*(28*a[5]^2*a[
             8] + 56*a[1]*a[8]*a[9] + 
             252*a[1]^2*a[8]*a[9] + 
             7*a[7]*a[10] + 840*a[1]^3*a[
             7]*a[10] + 5544*a[1]^5*a[5]*
             a[12] + a[16] + 8008*a[1]^
             10*a[16]) + a[1]*a[18] + 
            1428*a[1]^13*a[18]) + 
          81396*a[1]^13*a[3]^2*a[19] + 
          a[5]*(21*a[7]^3 + 1260*a[1]^4*
             a[10]^2 + 6930*a[1]^2*
             a[3]^4*a[11] + 504*a[1]^3*
             a[9]*a[11] + 2772*a[1]^5*
             a[9]*a[11] + 168*a[1]^2*
             a[8]*a[12] + 5544*a[1]^6*
             a[8]*a[12] + 72072*a[1]^5*
             a[3]^3*a[13] + 6*a[7]*
             (7*a[3]*a[11] + 2310*a[1]^
             4*a[3]*a[11] + 1716*a[1]^7*
             a[13] + 7*a[1]*(36*a[3]^2*
             a[9] + a[13])) + 21*a[3]^2*
             (8*a[8]^2 + 6435*a[1]^8*a[
             15]) + 168*a[1]*a[3]*
             (9*a[1]*a[9]^2 + 2*a[8]*a[
             10] + 30*a[1]^2*a[8]*a[
             10] + 442*a[1]^10*a[17]) + 
            a[19] + 11628*a[1]^14*
             a[19]) + 20349*a[1]^16*a[3]*
           a[21] + 1771*a[1]^19*a[23]) + 
        4*a[2]^3*(5*a[6]*a[7]^3 + 
          105*a[1]*a[6]*a[7]^3 + 
          70*a[1]*a[5]^4*a[8] + 
          30*a[6]^2*a[7]*a[8] + 
          105*a[1]*a[6]^2*a[7]*a[8] + 
          420*a[1]^2*a[6]^2*a[7]*a[8] + 
          15*a[6]^3*a[9] + 420*a[1]^3*
           a[6]^3*a[9] + 140*a[1]^3*a[8]*
           a[9]^2 + 630*a[1]^4*a[8]*
           a[9]^2 + 30*a[3]^7*a[10] + 
          280*a[1]^3*a[8]^2*a[10] + 
          630*a[1]^5*a[8]^2*a[10] + 
          105*a[1]^2*a[7]*a[9]*a[10] + 
          630*a[1]^4*a[7]*a[9]*a[10] + 
          1260*a[1]^5*a[7]*a[9]*a[10] + 
          15*a[1]*a[6]*a[10]^2 + 
          1260*a[1]^5*a[6]*a[10]^2 + 
          105*a[1]^2*a[7]*a[8]*a[11] + 
          280*a[1]^3*a[7]*a[8]*a[11] + 
          2310*a[1]^6*a[7]*a[8]*a[11] + 
          30*a[1]*a[6]*a[9]*a[11] + 
          630*a[1]^4*a[6]*a[9]*a[11] + 
          2310*a[1]^6*a[6]*a[9]*a[11] + 
          4620*a[1]^3*a[3]^6*a[12] + 
          105*a[1]^2*a[7]^2*a[12] + 
          1980*a[1]^7*a[7]^2*a[12] + 
          30*a[1]*a[6]*a[8]*a[12] + 
          280*a[1]^3*a[6]*a[8]*a[12] + 
          3960*a[1]^7*a[6]*a[8]*a[12] + 
          35*a[5]^3*(a[6]*a[7] + 
            4*(a[3]^2*a[8] + 30*a[1]^3*a[
             3]*a[10] + 33*a[1]^6*a[
             12])) + 30*a[1]*a[6]*a[7]*
           a[13] + 105*a[1]^2*a[6]*a[7]*
           a[13] + 6435*a[1]^8*a[6]*a[7]*
           a[13] + 495*a[1]^8*a[12]*
           a[13] + 715*a[1]^9*a[12]*
           a[13] + 30*a[1]*a[6]^2*
           a[14] + 5005*a[1]^9*a[6]^2*
           a[14] + 330*a[1]^7*a[11]*
           a[14] + 1001*a[1]^10*a[11]*
           a[14] + 42*a[3]^5*
           (3*a[6]*a[9] + 1001*a[1]^6*
             a[14]) + 210*a[1]^6*a[10]*
           a[15] + 1365*a[1]^11*a[10]*
           a[15] + 126*a[1]^5*a[9]*
           a[16] + 1820*a[1]^12*a[9]*
           a[16] + 5*a[5]^2*
           (84*a[1]^2*a[8]*a[9] + 
            252*a[1]^3*a[8]*a[9] + 
            1260*a[1]^2*a[3]^3*a[10] + 
            21*a[1]*a[7]*a[10] + 
            630*a[1]^4*a[7]*a[10] + 
            3*a[6]*a[11] + 1386*a[1]^5*
             a[6]*a[11] + 8316*a[1]^5*
             a[3]^2*a[12] + 21*a[3]*
             ((1 + 8*a[1])*a[7]*a[8] + 
             36*a[1]^2*a[6]*a[9] + 
             429*a[1]^8*a[14]) + a[16] + 
            2184*a[1]^11*a[16]) + 
          70*a[3]^4*((1 + 9*a[1])*a[8]*
             a[9] + 5*a[1]^2*
             (9*a[7]*a[10] + 33*a[1]*a[
             6]*a[11] + 286*a[1]^7*a[
             16])) + 70*a[1]^4*a[8]*
           a[17] + 2380*a[1]^13*a[8]*
           a[17] + 35*a[1]^3*a[7]*
           a[18] + 3060*a[1]^14*a[7]*
           a[18] + 35*a[3]^3*
           (4*a[6]^2*a[8] + 36*a[1]^2*
             a[9]*a[10] + 120*a[1]^3*
             a[9]*a[10] + 8*a[1]*a[8]*
             a[11] + 330*a[1]^4*a[8]*
             a[11] + a[7]*a[12] + 
            792*a[1]^5*a[7]*a[12] + 
            1716*a[1]^6*a[6]*a[13] + 
            2652*a[1]^12*a[18]) + 
          15*a[1]^2*a[6]*a[19] + 
          3876*a[1]^15*a[6]*a[19] + 
          15*a[3]^2*(7*(1 + 4*a[1])*
             a[7]^2*a[8] + 56*a[1]*a[6]*
             a[8]^2 + 210*a[1]^4*a[10]*
             a[11] + 462*a[1]^5*a[10]*
             a[11] + 924*a[1]^6*a[9]*
             a[12] + 84*a[1]^3*
             (5*a[6]^2*a[10] + a[9]*a[
             12]) + 28*a[1]^2*a[8]*
             a[13] + 1716*a[1]^7*a[8]*
             a[13] + 7*a[7]*
             ((1 + 36*a[1]^2)*a[6]*a[
             9] + a[1]*(1 + 429*a[1]^7)*
             a[14]) + a[6]*a[15] + 
            5005*a[1]^9*a[6]*a[15] + 
            2584*a[1]^15*a[20]) + 
          5*a[5]*(3*a[6]*a[8]^2 + 
            6*a[6]*a[7]*a[9] + 252*a[1]*
             a[3]^5*a[10] + 6*a[6]^2*
             a[10] + a[10]*a[11] + 
            252*a[1]^5*a[10]*a[11] + 
            462*a[1]^6*a[10]*a[11] + 
            6930*a[1]^4*a[3]^4*a[12] + 
            a[9]*a[12] + 792*a[1]^7*a[9]*
             a[12] + 126*a[1]^4*
             (5*a[6]^2*a[10] + a[9]*a[
             12]) + a[8]*a[13] + 
            1287*a[1]^8*a[8]*a[13] + 
            56*a[1]^3*(9*a[6]*a[7]*a[
             9] + a[8]*a[13]) + 
            a[7]*a[14] + 2002*a[1]^9*
             a[7]*a[14] + 56*a[3]^3*
             (a[7]*a[8] + 9*a[1]*a[6]*a[
             9] + 429*a[1]^7*a[14]) + 
            21*a[1]^2*(4*a[7]^2*a[8] + 
             8*a[6]*a[8]^2 + a[7]*a[
             14]) + a[6]*a[15] + 
            3003*a[1]^10*a[6]*a[15] + 
            21*a[3]^2*(8*a[1]*a[8]*a[
             9] + 36*a[1]^2*a[8]*a[9] + 
             a[7]*a[10] + 120*a[1]^3*a[
             7]*a[10] + 330*a[1]^4*a[6]*
             a[11] + 1144*a[1]^10*a[
             16]) + a[3]*(168*a[1]*a[6]^
             2*a[8] + 504*a[1]^3*a[9]*a[
             10] + 1260*a[1]^4*a[9]*a[
             10] + 168*a[1]^2*a[8]*a[
             11] + 2772*a[1]^5*a[8]*a[
             11] + 42*a[1]*a[7]*a[12] + 
             5544*a[1]^6*a[7]*a[12] + 
             6*a[6]*(7*a[7]^2 + a[13] + 
             1716*a[1]^7*a[13]) + 
             a[18] + 8568*a[1]^13*a[
             18]) + 969*a[1]^16*a[20] + 
            a[1]*(42*a[7]^2*a[8] + 
             42*a[6]*a[7]*a[9] + 
             6*a[6]*a[15] + a[20])) + 
          5*a[3]*(7*a[6]^3*a[7] + 
            6*(1 + 462*a[1]^6)*a[6]^2*
             a[12] + a[6]*
             ((3 + 504*a[1]^3)*a[9]^2 + 
             2*(3*(1 + 28*a[1]^2 + 
             210*a[1]^4)*a[8]*a[10] + 
             3*(1 + 7*a[1] + 462*a[1]^5)*
             a[7]*a[11] + a[1]*(3 + 
             3094*a[1]^11)*a[17])) + 
            a[1]*(42*a[7]*(a[8]*a[9] + 
             a[7]*a[10]) + 462*a[1]^5*a[
             11]*a[12] + 792*a[1]^6*a[
             11]*a[12] + 252*a[1]^4*a[
             10]*a[13] + 1287*a[1]^7*a[
             10]*a[13] + 2002*a[1]^8*a[
             9]*a[14] + 126*a[1]^3*(
             5*a[7]^2*a[10] + a[9]*
             a[14]) + 3003*a[1]^9*a[8]*a[
             15] + 56*a[1]^2*a[8]*(
             9*a[7]*a[9] + a[15]) + 
             4368*a[1]^10*a[7]*a[16] + 
             21*a[1]*(4*a[8]^3 + 8*a[7]*
             a[8]*a[9] + a[7]*a[16]) + 
             1463*a[1]^17*a[22])) + 
          506*a[1]^21*a[24]) + 
        2*a[4]*(10*a[5]^2*a[6]^3 + 
          90*a[1]*a[5]^2*a[6]^3 + 
          30*a[5]^3*a[6]*a[7] + 
          60*a[1]*a[5]^3*a[6]*a[7] + 
          210*a[1]^2*a[5]^3*a[6]*a[7] + 
          2*a[6]*a[7]^3 + 30*a[1]^2*a[6]*
           a[7]^3 + 210*a[1]^3*a[6]*
           a[7]^3 + 10*a[5]^4*a[8] + 
          140*a[1]^3*a[5]^4*a[8] + 
          6*a[6]^2*a[7]*a[8] + 
          180*a[1]^2*a[6]^2*a[7]*a[8] + 
          210*a[1]^3*a[6]^2*a[7]*a[8] + 
          420*a[1]^4*a[6]^2*a[7]*a[8] + 
          6*a[5]*a[7]^2*a[8] + 
          30*a[1]*a[5]*a[7]^2*a[8] + 
          420*a[1]^3*a[5]*a[7]^2*a[8] + 
          420*a[1]^4*a[5]*a[7]^2*a[8] + 
          6*a[5]*a[6]*a[8]^2 + 
          30*a[1]*a[5]*a[6]*a[8]^2 + 
          90*a[1]^2*a[5]*a[6]*a[8]^2 + 
          840*a[1]^4*a[5]*a[6]*a[8]^2 + 
          2*a[6]^3*a[9] + 90*a[1]^2*
           a[6]^3*a[9] + 252*a[1]^5*
           a[6]^3*a[9] + 12*a[5]*a[6]*
           a[7]*a[9] + 60*a[1]*a[5]*a[6]*
           a[7]*a[9] + 180*a[1]^2*a[5]*
           a[6]*a[7]*a[9] + 420*a[1]^3*
           a[5]*a[6]*a[7]*a[9] + 
          1512*a[1]^5*a[5]*a[6]*a[7]*
           a[9] + 6*a[5]^2*a[8]*a[9] + 
          60*a[1]*a[5]^2*a[8]*a[9] + 
          420*a[1]^4*a[5]^2*a[8]*a[9] + 
          756*a[1]^5*a[5]^2*a[8]*a[9] + 
          6*a[1]*a[8]*a[9]^2 + 
          84*a[1]^5*a[8]*a[9]^2 + 
          252*a[1]^6*a[8]*a[9]^2 + 
          6*a[5]*a[6]^2*a[10] + 
          30*a[1]*a[5]*a[6]^2*a[10] + 
          180*a[1]^2*a[5]*a[6]^2*a[10] + 
          1260*a[1]^6*a[5]*a[6]^2*
           a[10] + 6*a[5]^2*a[7]*a[10] + 
          60*a[1]*a[5]^2*a[7]*a[10] + 
          210*a[1]^3*a[5]^2*a[7]*a[10] + 
          1260*a[1]^6*a[5]^2*a[7]*
           a[10] + 6*a[1]*a[8]^2*a[10] + 
          168*a[1]^5*a[8]^2*a[10] + 
          180*a[1]^7*a[8]^2*a[10] + 
          12*a[1]*a[7]*a[9]*a[10] + 
          105*a[1]^4*a[7]*a[9]*a[10] + 
          252*a[1]^6*a[7]*a[9]*a[10] + 
          360*a[1]^7*a[7]*a[9]*a[10] + 
          6*a[1]*a[6]*a[10]^2 + 
          30*a[1]^3*a[6]*a[10]^2 + 
          360*a[1]^7*a[6]*a[10]^2 + 
          36*a[3]^7*(a[2]*a[9] + 
            5*a[1]^2*a[10]) + 
          6*a[5]^2*a[6]*a[11] + 
          60*a[1]*a[5]^2*a[6]*a[11] + 
          90*a[1]^2*a[5]^2*a[6]*a[11] + 
          1980*a[1]^7*a[5]^2*a[6]*
           a[11] + 12*a[1]*a[7]*a[8]*
           a[11] + 105*a[1]^4*a[7]*a[8]*
           a[11] + 168*a[1]^5*a[7]*a[8]*
           a[11] + 495*a[1]^8*a[7]*a[8]*
           a[11] + 12*a[1]*a[6]*a[9]*
           a[11] + 60*a[1]^3*a[6]*a[9]*
           a[11] + 252*a[1]^6*a[6]*a[9]*
           a[11] + 495*a[1]^8*a[6]*a[9]*
           a[11] + 12*a[1]*a[5]*a[10]*
           a[11] + 30*a[1]^2*a[5]*a[10]*
           a[11] + 360*a[1]^7*a[5]*a[10]*
           a[11] + 495*a[1]^8*a[5]*a[10]*
           a[11] + 2*a[5]^3*a[12] + 
          30*a[1]*a[5]^3*a[12] + 
          990*a[1]^8*a[5]^3*a[12] + 
          6*a[1]*a[7]^2*a[12] + 
          105*a[1]^4*a[7]^2*a[12] + 
          330*a[1]^9*a[7]^2*a[12] + 
          12*a[1]*a[6]*a[8]*a[12] + 
          60*a[1]^3*a[6]*a[8]*a[12] + 
          168*a[1]^5*a[6]*a[8]*a[12] + 
          660*a[1]^9*a[6]*a[8]*a[12] + 
          12*a[1]*a[5]*a[9]*a[12] + 
          30*a[1]^2*a[5]*a[9]*a[12] + 
          252*a[1]^6*a[5]*a[9]*a[12] + 
          660*a[1]^9*a[5]*a[9]*a[12] + 
          28*a[3]^6*(a[5]*a[8] + 
            45*a[1]*a[2]^2*a[10] + 
            165*a[1]^3*a[2]*a[11] + 
            99*a[1]^5*a[12]) + 
          78*a[1]*a[2]^11*a[13] + 
          12*a[1]*a[6]*a[7]*a[13] + 
          60*a[1]^3*a[6]*a[7]*a[13] + 
          105*a[1]^4*a[6]*a[7]*a[13] + 
          858*a[1]^10*a[6]*a[7]*a[13] + 
          12*a[1]*a[5]*a[8]*a[13] + 
          30*a[1]^2*a[5]*a[8]*a[13] + 
          168*a[1]^5*a[5]*a[8]*a[13] + 
          858*a[1]^10*a[5]*a[8]*a[13] + 
          6*a[1]^2*a[12]*a[13] + 
          66*a[1]^10*a[12]*a[13] + 
          78*a[1]^11*a[12]*a[13] + 
          2002*a[1]^3*a[2]^10*a[14] + 
          6*a[1]*a[6]^2*a[14] + 
          60*a[1]^3*a[6]^2*a[14] + 
          546*a[1]^11*a[6]^2*a[14] + 
          12*a[1]*a[5]*a[7]*a[14] + 
          30*a[1]^2*a[5]*a[7]*a[14] + 
          105*a[1]^4*a[5]*a[7]*a[14] + 
          1092*a[1]^11*a[5]*a[7]*a[14] + 
          6*a[1]^2*a[11]*a[14] + 
          55*a[1]^9*a[11]*a[14] + 
          91*a[1]^12*a[11]*a[14] + 
          21*a[3]^5*((1 + 8*a[1])*a[7]*
             a[8] + 30*a[2]^4*a[10] + 
            660*a[1]^2*a[2]^3*a[11] + 
            1980*a[1]^4*a[2]^2*a[12] + 
            4*a[2]*(2*a[6]*a[8] + 
             18*a[1]*a[5]*a[9] + 
             429*a[1]^6*a[13]) + 
            3*a[1]^2*(12*a[6]*a[9] + 
             40*a[1]*a[5]*a[10] + 
             143*a[1]^6*a[14])) + 
          12*a[1]*a[5]*a[6]*a[15] + 
          30*a[1]^2*a[5]*a[6]*a[15] + 
          60*a[1]^3*a[5]*a[6]*a[15] + 
          1365*a[1]^12*a[5]*a[6]*a[15] + 
          6*a[1]^2*a[10]*a[15] + 
          45*a[1]^8*a[10]*a[15] + 
          105*a[1]^13*a[10]*a[15] + 
          55*a[2]^9*(a[5]*a[11] + 
            273*a[1]^5*a[15]) + 
          6*a[1]*a[5]^2*a[16] + 
          30*a[1]^2*a[5]^2*a[16] + 
          840*a[1]^13*a[5]^2*a[16] + 
          6*a[1]^2*a[9]*a[16] + 
          36*a[1]^7*a[9]*a[16] + 
          120*a[1]^14*a[9]*a[16] + 
          15*a[3]^4*(28*a[1]*a[5]^2*
             a[8] + 28*a[1]^2*a[8]*
             a[9] + 84*a[1]^3*a[8]*
             a[9] + 7*a[1]*a[7]*a[10] + 
            210*a[1]^4*a[7]*a[10] + 
            462*a[1]*a[2]^5*a[11] + 
            a[6]*a[11] + 462*a[1]^5*a[6]*
             a[11] + 4620*a[1]^3*a[2]^4*
             a[12] + 7*a[5]*(a[6]*a[7] + 
             6*(2*a[2]^3*a[9] + 
             30*a[1]^2*a[2]^2*a[10] + 
             55*a[1]^4*a[2]*a[11] + 
             22*a[1]^6*a[12])) + 
            12012*a[1]^5*a[2]^3*a[13] + 
            28*a[2]^2*(a[7]*a[8] + 
             9*a[1]*a[6]*a[9] + 429*a[1]^
             7*a[14]) + 7*a[2]*
             (8*a[1]*a[8]^2 + a[7]*a[
             9] + 36*a[1]^2*a[7]*a[9] + 
             120*a[1]^3*a[6]*a[10] + 
             715*a[1]^9*a[15]) + 
            728*a[1]^11*a[16]) + 
          45*a[2]^8*(a[7]*a[10] + 
            11*a[1]*(a[6]*a[11] + 
             6*a[1]*a[5]*a[12] + 
             104*a[1]^6*a[16])) + 
          6*a[1]^2*a[8]*a[17] + 
          28*a[1]^6*a[8]*a[17] + 
          136*a[1]^15*a[8]*a[17] + 
          4*a[2]^7*(9*a[9]^2 + 
            5*a[1]*(18*a[8]*a[10] + 
             11*a[1]*(9*a[7]*a[11] + 
             36*a[1]*a[6]*a[12] + 
             117*a[1]^2*a[5]*a[13] + 
             442*a[1]^7*a[17]))) + 
          6*a[1]^2*a[7]*a[18] + 
          21*a[1]^5*a[7]*a[18] + 
          153*a[1]^16*a[7]*a[18] + 
          28*a[2]^6*(45*a[1]*a[5]^2*
             a[10] + 9*a[1]*a[9]*a[10] + 
            45*a[1]^2*a[9]*a[10] + 
            a[8]*a[11] + 165*a[1]^3*a[8]*
             a[11] + 495*a[1]^4*a[7]*
             a[12] + 1287*a[1]^5*a[6]*
             a[13] + a[5]*(9*a[6]*a[9] + 
             3003*a[1]^6*a[14]) + 
            3978*a[1]^11*a[18]) + 
          2*a[3]^3*(30*(1 + 14*a[1]^2)*
             a[6]^2*a[8] + 210*a[1]*a[5]*
             a[7]*a[8] + 840*a[1]^2*a[5]*
             a[7]*a[8] + 3150*a[1]^4*
             a[5]^2*a[10] + 630*a[1]^4*
             a[9]*a[10] + 1260*a[1]^5*
             a[9]*a[10] + 330*a[2]^7*
             a[11] + 280*a[1]^3*a[8]*
             a[11] + 2310*a[1]^6*a[8]*
             a[11] + 13860*a[1]^2*a[2]^6*
             a[12] + 105*a[1]^2*a[7]*
             a[12] + 3960*a[1]^7*a[7]*
             a[12] + 90090*a[1]^4*a[2]^5*
             a[13] + 15*a[6]*
             ((1 + 14*a[1])*a[7]^2 + 
             2*(1 + 84*a[1]^3)*a[5]*a[
             9] + a[1]*(2 + 429*a[1]^7)*
             a[13]) + 5*a[5]*a[14] + 
            10010*a[1]^9*a[5]*a[14] + 
            210*a[2]^4*(3*a[6]*a[9] + 
             30*a[1]*a[5]*a[10] + 
             1001*a[1]^6*a[14]) + 
            35*a[2]^3*(8*a[8]^2 + 
             3*a[1]*(24*a[7]*a[9] + 
             5*a[1]*(24*a[6]*a[10] + 
             88*a[1]*a[5]*a[11] + 429*
             a[1]^6*a[15]))) + 
            105*a[2]^2*(4*a[5]^2*a[8] + 
             8*a[1]*a[8]*a[9] + 36*a[1]^
             2*a[8]*a[9] + a[7]*a[10] + 
             120*a[1]^3*a[7]*a[10] + 
             330*a[1]^4*a[6]*a[11] + 
             792*a[1]^5*a[5]*a[12] + 
             1144*a[1]^10*a[16]) + 
            5*a[2]*(21*a[6]^2*a[7] + 
             6*a[6]*(56*a[1]*a[5]*a[8] + 
             a[12] + 924*a[1]^6*a[12]) + 
             2*(378*a[1]^2*a[5]^2*a[9] + 
             3*a[5]*(7*a[7]^2 + 1716*
             a[1]^7*a[13]) + 7*a[1]*
             (36*a[1]^2*a[9]^2 + 12*a[1]*
             a[8]*a[10] + 90*a[1]^3*a[8]*
             a[10] + 3*a[7]*a[11] + 
             198*a[1]^4*a[7]*a[11] + 
             442*a[1]^11*a[17]))) + 
            a[18] + 3060*a[1]^14*
             a[18]) + 6*a[1]^2*a[6]*
           a[19] + 15*a[1]^4*a[6]*
           a[19] + 171*a[1]^17*a[6]*
           a[19] + 21*a[2]^5*
           (36*a[1]*a[6]^2*a[9] + 
            120*a[1]^3*a[10]^2 + 
            660*a[1]^3*a[5]^2*a[11] + 
            36*a[1]^2*a[9]*a[11] + 
            330*a[1]^4*a[9]*a[11] + 
            8*a[1]*a[8]*a[12] + 
            792*a[1]^5*a[8]*a[12] + 
            a[7]*a[13] + 1716*a[1]^6*
             a[7]*a[13] + 8*a[6]*
             (a[7]*a[8] + 45*a[1]^2*a[5]*
             a[10] + 429*a[1]^7*a[14]) + 
            a[5]*(8*a[8]^2 + 72*a[1]*a[
             7]*a[9] + 6435*a[1]^8*a[
             15]) + 3876*a[1]^13*
             a[19]) + 6*a[1]^2*a[5]*
           a[20] + 10*a[1]^3*a[5]*
           a[20] + 190*a[1]^18*a[5]*
           a[20] + 3*a[3]^2*
           (210*a[1]^2*a[7]^2*a[8] + 
            280*a[1]^3*a[7]^2*a[8] + 
            30*a[1]*a[6]*a[8]^2 + 
            560*a[1]^3*a[6]*a[8]^2 + 
            70*a[5]^3*(a[2]*a[7] + 
             4*a[1]^2*a[8]) + 60*a[1]*
             a[6]*a[7]*a[9] + 210*a[1]^2*
             a[6]*a[7]*a[9] + 
            1260*a[1]^4*a[6]*a[7]*a[9] + 
            60*a[1]*a[6]^2*a[10] + 
            1260*a[1]^5*a[6]^2*a[10] + 
            2*a[10]*a[11] + 420*a[1]^6*
             a[10]*a[11] + 660*a[1]^7*
             a[10]*a[11] + 990*a[1]*
             a[2]^8*a[12] + 2*a[9]*
             a[12] + 252*a[1]^5*a[9]*
             a[12] + 990*a[1]^8*a[9]*
             a[12] + 10*a[5]^2*
             (3*(1 + 7*a[1])*a[6]*a[7] + 
             252*a[1]*a[2]^3*a[9] + 
             1260*a[1]^3*a[2]^2*a[10] + 
             1386*a[1]^5*a[2]*a[11] + 
             a[12] + 396*a[1]^7*a[12]) + 
            17160*a[1]^3*a[2]^7*a[13] + 
            2*a[8]*a[13] + 140*a[1]^4*
             a[8]*a[13] + 1430*a[1]^9*
             a[8]*a[13] + 84084*a[1]^5*
             a[2]^6*a[14] + 2*a[7]*
             a[14] + 70*a[1]^3*a[7]*
             a[14] + 2002*a[1]^10*a[7]*
             a[14] + 2*a[6]*a[15] + 
            30*a[1]^2*a[6]*a[15] + 
            2730*a[1]^11*a[6]*a[15] + 
            252*a[2]^5*(a[7]*a[9] + 
             10*a[1]*a[6]*a[10] + 
             715*a[1]^7*a[15]) + 
            2*a[5]*(15*a[6]^3 + 5*a[8]*a[
             9] + 280*a[1]^3*a[8]*a[9] + 
             630*a[1]^4*a[8]*a[9] + 
             210*a[2]^6*a[10] + 5*a[7]*a[
             10] + 105*a[1]^2*a[7]*a[
             10] + 1260*a[1]^5*a[7]*a[
             10] + 6930*a[1]^2*a[2]^5*a[
             11] + 5*a[6]*(56*a[2]^3*
             a[8] + 756*a[1]^2*a[2]^2*
             a[9] + 6*(1 + 210*a[1]^4)*
             a[2]*a[10] + (1 + 6*a[1] + 
             462*a[1]^6)*a[11]) + 
             34650*a[1]^4*a[2]^4*a[12] + 
             60060*a[1]^6*a[2]^3*a[13] + 
             105*a[2]^2*((1 + 8*a[1])*
             a[7]*a[8] + 429*a[1]^8*
             a[14]) + 5*a[2]*(168*a[1]^2*
             a[8]^2 + 42*a[1]*a[7]*
             a[9] + 504*a[1]^3*a[7]*
             a[9] + a[15] + 3003*a[1]^10*
             a[15]) + a[16] + 5*a[1]*a[
             16] + 1820*a[1]^12*a[16]) + 
            140*a[2]^4*((1 + 9*a[1])*a[
             8]*a[9] + 5*a[1]^2*(9*a[7]*
             a[10] + 33*a[1]*a[6]*
             a[11] + 286*a[1]^7*
             a[16])) + 70*a[2]^3*
             (36*a[1]^2*a[9]^2 + 
             8*a[1]*a[8]*a[10] + 
             120*a[1]^3*a[8]*a[10] + 
             a[7]*a[11] + 330*a[1]^4*a[
             7]*a[11] + 792*a[1]^5*a[6]*
             a[12] + 1768*a[1]^11*a[
             17]) + 30*a[2]^2*
             (28*a[1]*a[6]^2*a[8] + 
             a[6]*(7*a[7]^2 + 
             (1 + 1716*a[1]^7)*a[13]) + 
             7*a[1]*(12*a[1]^2*a[9]*
             a[10] + 30*a[1]^3*a[9]*
             a[10] + 4*a[1]*a[8]*a[11] + 
             66*a[1]^4*a[8]*a[11] + 
             a[7]*a[12] + 132*a[1]^5*
             a[7]*a[12] + 204*a[1]^12*
             a[18])) + 2*a[2]*
             (30*a[6]*a[7]*a[8] + 
             30*a[6]^2*a[9] + 1260*a[1]^
             5*a[10]^2 + 630*a[1]^4*a[9]*
             a[11] + 2310*a[1]^6*a[9]*a[
             11] + 3960*a[1]^7*a[8]*a[
             12] + 140*a[1]^3*(9*a[6]^2*
             a[9] + 2*a[8]*a[12]) + 
             6435*a[1]^8*a[7]*a[13] + 
             105*a[1]^2*a[7]*(8*a[6]*
             a[8] + a[13]) + 10010*a[1]^
             9*a[6]*a[14] + 15*a[1]*(
             7*a[7]^3 + 14*a[6]*a[7]*
             a[8] + 2*a[6]*a[14]) + 
             a[19] + 3876*a[1]^15*a[
             19]) + a[20] + 2*a[1]*
             a[20] + 570*a[1]^17*
             a[20]) + 5*a[2]^4*
           (28*a[5]^3*a[8] + 8316*a[1]^5*
             a[5]^2*a[12] + 21*a[5]*
             (8*a[1]*a[8]*a[9] + 
             36*a[1]^2*a[8]*a[9] + 
             a[7]*a[10] + 120*a[1]^3*a[
             7]*a[10] + 330*a[1]^4*a[6]*
             a[11] + 1144*a[1]^10*a[
             16]) + 3*(7*(1 + 4*a[1])*
             a[7]^2*a[8] + 56*a[1]*a[6]*
             a[8]^2 + 210*a[1]^4*a[10]*a[
             11] + 462*a[1]^5*a[10]*a[
             11] + 924*a[1]^6*a[9]*a[
             12] + 84*a[1]^3*(5*a[6]^2*
             a[10] + a[9]*a[12]) + 
             28*a[1]^2*a[8]*a[13] + 
             1716*a[1]^7*a[8]*a[13] + 
             7*a[7]*((1 + 36*a[1]^2)*
             a[6]*a[9] + a[1]*(1 + 
             429*a[1]^7)*a[14]) + 
             a[6]*a[15] + 5005*a[1]^9*a[
             6]*a[15] + 2584*a[1]^15*a[
             20])) + 2*a[2]^3*
           (1260*a[1]^2*a[5]^3*a[9] + 
            30*a[6]*a[8]*a[9] + 
            30*a[6]*a[7]*a[10] + 
            30*a[6]^2*a[11] + 
            2310*a[1]^6*a[11]^2 + 
            3960*a[1]^7*a[10]*a[12] + 
            630*a[1]^5*(11*a[6]^2*a[
             11] + 2*a[10]*a[12]) + 
            6435*a[1]^8*a[9]*a[13] + 
            15*a[5]^2*(7*a[7]^2 + 
             56*a[1]*a[6]*a[8] + 
             1716*a[1]^7*a[13]) + 
            630*a[1]^4*(10*a[6]*a[7]*a[
             10] + a[9]*a[13]) + 
            10010*a[1]^9*a[8]*a[14] + 
            140*a[1]^3*(9*a[7]^2*a[9] + 
             2*a[8]*(9*a[6]*a[9] + 
             a[14])) + 15015*a[1]^10*
             a[7]*a[15] + 105*a[1]^2*
             (8*a[6]*a[8]*a[9] + 
             a[7]*(8*a[8]^2 + a[15])) + 
            21840*a[1]^11*a[6]*a[16] + 
            15*a[1]*(14*a[7]^2*a[9] + 
             7*a[7]*(a[8]^2 + 2*a[6]*
             a[10]) + 2*a[6]*a[16]) + 
            5*a[5]*(21*a[6]^2*a[7] + 
             504*a[1]^3*a[9]^2 + 
             168*a[1]^2*a[8]*a[10] + 
             1260*a[1]^4*a[8]*a[10] + 
             42*a[1]*a[7]*a[11] + 
             2772*a[1]^5*a[7]*a[11] + 
             6*(1 + 924*a[1]^6)*a[6]*a[
             12] + a[17] + 6188*a[1]^12*
             a[17]) + a[21] + 
            5985*a[1]^17*a[21]) + 
          a[3]*(15*a[5]^4*a[6] + 
            180*a[1]*a[6]^3*a[7] + 
            210*a[1]^2*a[6]^3*a[7] + 
            2*a[8]^3 + 420*a[1]^4*
             a[8]^3 + 12*a[7]*a[8]*
             a[9] + 420*a[1]^3*a[7]*a[8]*
             a[9] + 840*a[1]^4*a[7]*a[8]*
             a[9] + 1512*a[1]^5*a[7]*
             a[8]*a[9] + 6*a[6]*a[9]^2 + 
            90*a[1]^2*a[6]*a[9]^2 + 
            1512*a[1]^5*a[6]*a[9]^2 + 
            6*a[7]^2*a[10] + 420*a[1]^3*
             a[7]^2*a[10] + 1260*a[1]^6*
             a[7]^2*a[10] + 12*a[6]*a[8]*
             a[10] + 180*a[1]^2*a[6]*
             a[8]*a[10] + 840*a[1]^4*
             a[6]*a[8]*a[10] + 
            2520*a[1]^6*a[6]*a[8]*
             a[10] + 30*a[5]^3*
             (56*a[1]*a[2]^2*a[8] + 
             168*a[1]^3*a[2]*a[9] + 
             a[10] + 84*a[1]^5*a[10]) + 
            12*a[6]*a[7]*a[11] + 
            180*a[1]^2*a[6]*a[7]*a[11] + 
            420*a[1]^3*a[6]*a[7]*a[11] + 
            3960*a[1]^7*a[6]*a[7]*
             a[11] + 66*a[2]^10*a[12] + 
            6*a[6]^2*a[12] + 180*a[1]^2*
             a[6]^2*a[12] + 2970*a[1]^8*
             a[6]^2*a[12] + 3*a[11]*
             a[12] + 12*a[1]*a[11]*
             a[12] + 495*a[1]^8*a[11]*
             a[12] + 660*a[1]^9*a[11]*
             a[12] + 4290*a[1]^2*a[2]^9*
             a[13] + 3*a[10]*a[13] + 
            12*a[1]*a[10]*a[13] + 
            360*a[1]^7*a[10]*a[13] + 
            858*a[1]^10*a[10]*a[13] + 
            45045*a[1]^4*a[2]^8*a[14] + 
            3*a[9]*a[14] + 12*a[1]*a[9]*
             a[14] + 252*a[1]^6*a[9]*
             a[14] + 1092*a[1]^11*a[9]*
             a[14] + 6*a[5]^2*
             (5*(2 + 21*a[1]^2 + 
             56*a[1]^3)*a[7]*a[8] + 
             126*a[2]^5*a[9] + 10*a[6]*a[
             9] + 30*a[1]*a[6]*a[9] + 
             630*a[1]^4*a[6]*a[9] + 
             3150*a[1]^2*a[2]^4*a[10] + 
             11550*a[1]^4*a[2]^3*a[11] + 
             105*a[2]^2*(a[6]*a[7] + 
             132*a[1]^6*a[12]) + 
             5*a[2]*(42*a[1]*a[7]^2 + 
             6*a[6]*a[8] + 168*a[1]^2*
             a[6]*a[8] + 2*a[13] + 
             1287*a[1]^8*a[13]) + 
             a[14] + 10*a[1]*a[14] + 
             1001*a[1]^10*a[14]) + 
            3*a[8]*a[15] + 12*a[1]*a[8]*
             a[15] + 168*a[1]^5*a[8]*
             a[15] + 1365*a[1]^12*a[8]*
             a[15] + 180*a[2]^7*
             (2*a[6]*a[10] + 1001*a[1]^
             6*a[15]) + 3*a[7]*a[16] + 
            12*a[1]*a[7]*a[16] + 
            105*a[1]^4*a[7]*a[16] + 
            1680*a[1]^13*a[7]*a[16] + 
            252*a[2]^6*(a[8]*a[9] + 
             5*a[1]*(2*a[7]*a[10] + 
             11*a[1]*a[6]*a[11] + 
             286*a[1]^7*a[16])) + 
            3*a[6]*a[17] + 12*a[1]*a[6]*
             a[17] + 60*a[1]^3*a[6]*
             a[17] + 2040*a[1]^14*a[6]*
             a[17] + 168*a[2]^5*
             (9*a[1]*a[9]^2 + a[8]*a[
             10] + 45*a[1]^2*a[8]*a[
             10] + 165*a[1]^3*a[7]*a[
             11] + 495*a[1]^4*a[6]*a[
             12] + 2431*a[1]^10*a[17]) + 
            105*a[2]^4*(4*a[6]^2*a[8] + 
             36*a[1]^2*a[9]*a[10] + 
             120*a[1]^3*a[9]*a[10] + 
             8*a[1]*a[8]*a[11] + 
             330*a[1]^4*a[8]*a[11] + 
             a[7]*a[12] + 792*a[1]^5*a[
             7]*a[12] + 1716*a[1]^6*a[6]*
             a[13] + 2652*a[1]^12*a[
             18]) + 3*a[5]*(10*(1 + 
             12*a[1] + 56*a[1]^3)*a[6]^
             2*a[8] + 4*a[9]*a[10] + 
             20*a[1]*a[9]*a[10] + 
             504*a[1]^5*a[9]*a[10] + 
             840*a[1]^6*a[9]*a[10] + 
             1320*a[1]*a[2]^7*a[11] + 
             4*a[8]*a[11] + 20*a[1]*a[8]*
             a[11] + 280*a[1]^4*a[8]*a[
             11] + 1320*a[1]^7*a[8]*a[
             11] + 18480*a[1]^3*a[2]^6*a[
             12] + 4*a[7]*a[12] + 
             20*a[1]*a[7]*a[12] + 
             140*a[1]^3*a[7]*a[12] + 
             1980*a[1]^8*a[7]*a[12] + 
             72072*a[1]^5*a[2]^5*a[13] + 
             2*a[6]*(5*(1 + 6*a[1] + 
             42*a[1]^2)*a[7]^2 + 
             2*(1 + 5*a[1] + 15*a[1]^2 + 
             715*a[1]^9)*a[13]) + 
             280*a[2]^4*(a[7]*a[8] + 
             9*a[1]*a[6]*a[9] + 429*
             a[1]^7*a[14]) + 140*a[2]^3*(
             8*a[1]*a[8]^2 + a[7]*a[9] + 
             36*a[1]^2*a[7]*a[9] + 
             120*a[1]^3*a[6]*a[10] + 
             715*a[1]^9*a[15]) + 
             10*a[2]^2*(168*a[1]^2*a[8]*
             a[9] + 504*a[1]^3*a[8]*
             a[9] + 42*a[1]*a[7]*a[10] + 
             1260*a[1]^4*a[7]*a[10] + 
             6*a[6]*a[11] + 2772*a[1]^5*
             a[6]*a[11] + a[16] + 
             4368*a[1]^11*a[16]) + 
             2*a[2]*(30*(2 + 7*a[1])*
             a[6]^2*a[7] + 5*(1 + 252*
             a[1]^4)*a[9]^2 + 10*(1 + 
             6*a[1] + 792*a[1]^7)*a[6]*
             a[12] + 2*(5*(1 + 56*a[1]^
             3 + 252*a[1]^5)*a[8]*
             a[10] + 5*(1 + 21*a[1]^2 + 
             462*a[1]^6)*a[7]*a[11] + 
             (1 + 5*a[1] + 2380*a[1]^13)*
             a[17])) + a[18] + 4*a[1]*a[
             18] + 10*a[1]^2*a[18] + 
             816*a[1]^15*a[18]) + 
            30*a[2]^3*(7*a[7]^3 + 
             2*a[7]*(7*(1 + 8*a[1])*a[6]*
             a[8] + a[1]*(7 + 1716*a[1]^
             6)*a[13]) + 2*(210*a[1]^4*
             a[10]^2 + 84*a[1]^3*a[9]*
             a[11] + 462*a[1]^5*a[9]*
             a[11] + 924*a[1]^6*a[8]*
             a[12] + 14*a[1]^2*(9*a[6]^2*
             a[9] + 2*a[8]*a[12]) + 
             a[6]*a[14] + 3003*a[1]^8*
             a[6]*a[14] + 1938*a[1]^14*
             a[19])) + 6*a[2]^2*
             (15*a[6]*(a[8]^2 + 2*a[7]*
             a[9]) + 30*a[6]^2*a[10] + 
             1260*a[1]^5*a[10]*a[11] + 
             2310*a[1]^6*a[10]*a[11] + 
             3960*a[1]^7*a[9]*a[12] + 
             630*a[1]^4*(5*a[6]^2*
             a[10] + a[9]*a[12]) + 
             6435*a[1]^8*a[8]*a[13] + 
             280*a[1]^3*(9*a[6]*a[7]*
             a[9] + a[8]*a[13]) + 
             10010*a[1]^9*a[7]*a[14] + 
             105*a[1]^2*(4*a[7]^2*a[8] + 
             8*a[6]*a[8]^2 + a[7]*
             a[14]) + 15015*a[1]^10*a[6]*
             a[15] + 30*a[1]*(7*a[7]^2*
             a[8] + 7*a[6]*a[7]*a[9] + 
             a[6]*a[15]) + a[20] + 
             4845*a[1]^16*a[20]) + 
            3*a[2]*(20*a[6]^4 + 210*a[1]^
             2*a[7]*(a[8]^2 + 2*a[7]*
             a[9]) + 60*a[1]*(2 + 
             77*a[1]^5)*a[6]^2*a[11] + 
             2*a[11]^2 + 1320*a[1]^7*
             a[11]^2 + 4*a[10]*a[12] + 
             840*a[1]^6*a[10]*a[12] + 
             1980*a[1]^8*a[10]*a[12] + 
             4*a[9]*a[13] + 504*a[1]^5*a[
             9]*a[13] + 2860*a[1]^9*a[9]*
             a[13] + 4*a[8]*a[14] + 
             4004*a[1]^10*a[8]*a[14] + 
             140*a[1]^4*(9*a[7]^2*a[9] + 
             2*a[8]*a[14]) + 4*a[7]*a[
             15] + 5460*a[1]^11*a[7]*a[
             15] + 140*a[1]^3*a[7]*(
             8*a[8]^2 + a[15]) + 
             4*a[6]*(280*a[1]^3*a[8]*
             a[9] + 630*a[1]^4*a[8]*
             a[9] + 1260*a[1]^5*a[7]*
             a[10] + 30*a[1]*(a[8]*
             a[9] + a[7]*a[10]) + 
             a[16] + 1820*a[1]^12*
             a[16] + 15*a[1]^2*(7*a[7]*
             a[10] + a[16])) + a[21] + 
             4*a[1]*a[21] + 1330*a[1]^18*
             a[21]) + 3*a[1]*a[22] + 
            6*a[1]^2*a[22] + 231*a[1]^20*
             a[22]) + 6*a[2]^2*
           (5*(3 + 7*a[1])*a[6]^3*a[7] + 
            5*a[5]*a[9]*a[10] + 
            5*a[5]*a[8]*a[11] + 
            5*a[5]*a[7]*a[12] + 
            a[11]*a[12] + 495*a[1]^8*
             a[11]*a[12] + 330*a[1]^7*
             (12*a[5]*a[7] + a[11])*
             a[12] + 30*a[6]^2*
             ((1 + 14*a[1]^2)*a[5]*a[
             8] + a[1]*(1 + 66*a[1]^6)*a[
             12]) + 105*a[1]^2*a[7]*
             (4*a[5]^2*a[8] + a[8]*a[
             9] + a[7]*a[10] + a[5]*a[
             12]) + a[10]*a[13] + 
            210*a[1]^6*(11*a[5]*a[8]*a[
             11] + a[10]*a[13]) + 
            5*a[5]^2*a[14] + 
            a[9]*a[14] + 1001*a[1]^10*
             a[9]*a[14] + 715*a[1]^9*
             (a[10]*a[13] + 7*a[5]^2*a[
             14]) + 126*a[1]^5*
             (5*a[7]^2*a[10] + a[9]*(
             10*a[5]*a[10] + a[14])) + 
            a[8]*a[15] + 1365*a[1]^11*
             a[8]*a[15] + 70*a[1]^4*
             (9*a[7]*a[8]*a[9] + 
             15*a[5]^3*a[10] + 9*a[5]*a[
             9]*a[10] + a[8]*a[15]) + 
            a[7]*a[16] + 1820*a[1]^12*
             a[7]*a[16] + 35*a[1]^3*
             (4*a[8]^3 + 8*a[8]*(a[7]*
             a[9] + a[5]*a[11]) + 
             a[7]*a[16]) + a[6]*
             (15*(1 + 84*a[1]^3)*a[5]^2*
             a[9] + 630*a[1]^4*a[9]^2 + 
             280*a[1]^3*a[8]*a[10] + 
             1260*a[1]^5*a[8]*a[10] + 
             2310*a[1]^6*a[7]*a[11] + 
             15*a[1]*(a[9]^2 + 2*a[8]*
             a[10] + 2*a[7]*a[11]) + 
             5*a[5]*((3 + 42*a[1])*
             a[7]^2 + (1 + 6*a[1] + 
             1287*a[1]^8)*a[13]) + 
             a[17] + 2380*a[1]^13*a[
             17] + 15*a[1]^2*(7*a[7]*
             a[11] + a[17])) + 
            a[5]*a[18] + 3060*a[1]^14*
             a[5]*a[18] + 385*a[1]^19*
             a[22] + a[1]*(105*a[5]^2*a[
             7]*a[8] + 5*a[5]*a[18] + 
             a[22])) + a[2]*
           (105*a[1]*a[5]^4*a[7] + 
            6*a[8]^2*a[9] + 6*a[7]*
             a[9]^2 + 12*a[7]*a[8]*
             a[10] + 12*a[6]*a[9]*
             a[10] + 6*a[7]^2*a[11] + 
            12*a[6]*a[8]*a[11] + 
            30*a[5]^3*(2*a[6]^2 + 
             (1 + 154*a[1]^6)*a[11]) + 
            12*a[6]*a[7]*a[12] + 
            6*a[6]^2*a[13] + 858*a[1]^10*
             a[11]*a[13] + 330*a[1]^9*
             (2*a[12]^2 + 13*a[6]^2*a[
             13]) + 495*a[1]^8*
             (12*a[6]*a[7]*a[12] + 
             a[11]*a[13]) + 1092*a[1]^11*
             a[10]*a[14] + 180*a[1]^7*
             (11*a[7]^2*a[11] + 
             22*a[6]*a[8]*a[11] + 
             2*a[10]*a[14]) + 
            1365*a[1]^12*a[9]*a[15] + 
            6*a[5]^2*(5*(1 + 56*a[1]^3)*
             a[8]^2 + 5*(2 + 21*a[1]^2 + 
             126*a[1]^4)*a[7]*a[9] + 
             10*a[6]*a[10] + 30*a[1]*a[
             6]*a[10] + 1260*a[1]^5*a[6]*
             a[10] + a[15] + 10*a[1]*a[
             15] + 1365*a[1]^11*a[15]) + 
            252*a[1]^6*(10*a[7]*a[8]*a[
             10] + a[9]*(10*a[6]*a[10] + 
             a[15])) + 1680*a[1]^13*a[8]*
             a[16] + 84*a[1]^5*
             (9*a[8]^2*a[9] + 18*a[9]*(
             a[7]*a[9] + a[6]*a[10]) + 
             2*a[8]*a[16]) + 
            2040*a[1]^14*a[7]*a[17] + 
            105*a[1]^4*(8*a[8]^2*a[9] + 
             8*a[8]*(a[7]*a[10] + 
             a[6]*a[11]) + a[7]*a[17]) + 
            2448*a[1]^15*a[6]*a[18] + 
            6*a[1]*(30*a[6]^2*a[7]^2 + 
             30*a[6]^3*a[8] + a[12]^2 + 
             2*(a[11]*a[13] + a[10]*
             a[14] + a[9]*a[15] + 
             a[8]*a[16] + a[7]*a[17]) + 
             2*a[6]*a[18]) + 10*a[1]^3*
             (56*a[6]^3*a[8] + 21*a[7]*(
             a[9]^2 + 2*a[8]*a[10] + 
             2*a[7]*a[11]) + 6*a[6]*(
             7*a[7]*a[12] + a[18])) + 
            a[5]*(10*(1 + 63*a[1]^2)*
             a[7]^3 + 12*a[7]*(5*(1 + 
             6*a[1] + 21*a[1]^2 + 
             56*a[1]^3)*a[6]*a[8] + 
             (1 + 5*a[1] + 35*a[1]^3 + 
             715*a[1]^9)*a[13]) + 
             3*(10*(1 + 12*a[1] + 126*
             a[1]^4)*a[6]^2*a[9] + 
             2*(1 + 5*a[1] + 420*a[1]^6)*
             a[10]^2 + 4*a[9]*a[11] + 
             20*a[1]*a[9]*a[11] + 
             504*a[1]^5*a[9]*a[11] + 
             1320*a[1]^7*a[9]*a[11] + 
             4*a[8]*a[12] + 20*a[1]*a[8]*
             a[12] + 280*a[1]^4*a[8]*
             a[12] + 1980*a[1]^8*a[8]*
             a[12] + 4*(1 + 5*a[1] + 
             15*a[1]^2 + 1001*a[1]^10)*
             a[6]*a[14] + 4*a[1]*a[19] + 
             10*a[1]^2*a[19] + 969*
             a[1]^16*a[19])) + a[23] + 
            253*a[1]^21*a[23] + 
            6*a[1]^2*(30*a[6]*(a[9]*
             a[10] + a[8]*a[11] + 
             a[7]*a[12]) + 15*a[6]^2*(
             7*a[7]^2 + 2*a[13]) + 
             a[23])) + 2*a[1]^3*a[24] + 
          12*a[1]^23*a[24]) + 
        3*a[1]^2*a[3]*a[25] + 
        25*a[1]^24*a[3]*a[25] + 
        a[2]^2*(210*a[1]^2*a[7]^4 + 
          180*a[1]*a[6]*a[7]^2*a[8] + 
          1260*a[1]^2*a[6]*a[7]^2*a[8] + 
          1680*a[1]^3*a[6]*a[7]^2*a[8] + 
          180*a[1]*a[6]^2*a[8]^2 + 
          1680*a[1]^3*a[6]^2*a[8]^2 + 
          360*a[1]*a[6]^2*a[7]*a[9] + 
          630*a[1]^2*a[6]^2*a[7]*a[9] + 
          3780*a[1]^4*a[6]^2*a[7]*a[9] + 
          756*a[1]^5*a[9]^3 + 105*a[5]^4*
           (a[3]*a[7] + 12*a[1]^3*
             a[9]) + 180*a[1]*a[6]^3*
           a[10] + 2520*a[1]^5*a[6]^3*
           a[10] + 840*a[1]^4*a[8]*a[9]*
           a[10] + 1512*a[1]^5*a[8]*a[9]*
           a[10] + 2520*a[1]^6*a[8]*a[9]*
           a[10] + 210*a[1]^3*a[7]*
           a[10]^2 + 2520*a[1]^6*a[7]*
           a[10]^2 + 1980*a[1]^2*a[3]^7*
           a[11] + 840*a[1]^4*a[8]^2*
           a[11] + 1980*a[1]^7*a[8]^2*
           a[11] + 420*a[1]^3*a[7]*a[9]*
           a[11] + 1512*a[1]^5*a[7]*a[9]*
           a[11] + 3960*a[1]^7*a[7]*a[9]*
           a[11] + 180*a[1]^2*a[6]*a[10]*
           a[11] + 2520*a[1]^6*a[6]*
           a[10]*a[11] + 3960*a[1]^7*
           a[6]*a[10]*a[11] + 420*a[1]^3*
           a[7]*a[8]*a[12] + 840*a[1]^4*
           a[7]*a[8]*a[12] + 5940*a[1]^8*
           a[7]*a[8]*a[12] + 180*a[1]^2*
           a[6]*a[9]*a[12] + 1512*a[1]^5*
           a[6]*a[9]*a[12] + 5940*a[1]^8*
           a[6]*a[9]*a[12] + 
          36036*a[1]^5*a[3]^6*a[13] + 
          420*a[1]^3*a[7]^2*a[13] + 
          4290*a[1]^9*a[7]^2*a[13] + 
          180*a[1]^2*a[6]*a[8]*a[13] + 
          840*a[1]^4*a[6]*a[8]*a[13] + 
          8580*a[1]^9*a[6]*a[8]*a[13] + 
          858*a[1]^10*a[13]^2 + 
          30*a[5]^3*(14*a[1]*a[7]^2 + 
            2*a[6]*a[8] + 28*a[1]^2*
             (2*a[6]*a[8] + 9*a[3]^2*a[
             9]) + 924*a[1]^5*a[3]*
             a[11] + a[13] + 429*a[1]^8*
             a[13]) + 180*a[1]^2*a[6]*
           a[7]*a[14] + 420*a[1]^3*a[6]*
           a[7]*a[14] + 12012*a[1]^10*
           a[6]*a[7]*a[14] + 660*a[1]^9*
           a[12]*a[14] + 1092*a[1]^11*
           a[12]*a[14] + 180*a[1]^2*
           a[6]^2*a[15] + 8190*a[1]^11*
           a[6]^2*a[15] + 495*a[1]^8*
           a[11]*a[15] + 1365*a[1]^12*
           a[11]*a[15] + 21*a[3]^5*
           (8*a[8]^2 + 9*a[1]*
             (8*a[7]*a[9] + 40*a[1]*a[6]*
             a[10] + 715*a[1]^7*a[
             15])) + 360*a[1]^7*a[10]*
           a[16] + 1680*a[1]^13*a[10]*
           a[16] + 252*a[1]^6*a[9]*
           a[17] + 2040*a[1]^14*a[9]*
           a[17] + 105*a[3]^4*
           (36*a[1]^2*a[9]^2 + 
            8*a[1]*a[8]*a[10] + 
            120*a[1]^3*a[8]*a[10] + 
            a[7]*a[11] + 330*a[1]^4*a[7]*
             a[11] + 792*a[1]^5*a[6]*
             a[12] + 1768*a[1]^11*
             a[17]) + 30*a[5]^2*
           (3*(2 + 7*a[1])*a[6]^2*a[7] + 
            126*a[1]*a[3]^4*a[9] + 
            a[9]^2 + 126*a[1]^4*a[9]^2 + 
            2*a[8]*a[10] + 56*a[1]^3*
             a[8]*a[10] + 252*a[1]^5*
             a[8]*a[10] + 2310*a[1]^4*
             a[3]^3*a[11] + 2*a[7]*
             a[11] + 21*a[1]^2*a[7]*
             a[11] + 462*a[1]^6*a[7]*
             a[11] + 2*a[6]*
             (3*a[3]*a[10] + 630*a[1]^4*
             a[3]*a[10] + a[12] + 
             396*a[1]^7*a[12] + 3*a[1]*(
             28*a[3]^2*a[8] + a[12])) + 
            3*a[3]^2*(7*a[7]^2 + 
             1716*a[1]^7*a[13]) + 
            a[3]*(168*a[1]^2*a[8]^2 + 
             42*a[1]*a[7]*a[9] + 
             504*a[1]^3*a[7]*a[9] + 
             2*a[15] + 3003*a[1]^10*a[
             15]) + 2*a[1]*a[17] + 
            476*a[1]^13*a[17]) + 
          168*a[1]^5*a[8]*a[18] + 
          2448*a[1]^15*a[8]*a[18] + 
          105*a[1]^4*a[7]*a[19] + 
          2907*a[1]^16*a[7]*a[19] + 
          30*a[3]^3*(7*a[7]^3 + 
            2*a[7]*(7*(1 + 8*a[1])*a[6]*
             a[8] + a[1]*(7 + 1716*
             a[1]^6)*a[13]) + 
            2*(210*a[1]^4*a[10]^2 + 
             84*a[1]^3*a[9]*a[11] + 
             462*a[1]^5*a[9]*a[11] + 
             924*a[1]^6*a[8]*a[12] + 
             14*a[1]^2*(9*a[6]^2*a[9] + 
             2*a[8]*a[12]) + a[6]*a[
             14] + 3003*a[1]^8*a[6]*a[
             14] + 1938*a[1]^14*a[
             19])) + 60*a[1]^3*a[6]*
           a[20] + 3420*a[1]^17*a[6]*
           a[20] + 30*a[3]^2*
           (462*a[1]^6*a[11]^2 + 
            6*a[6]*(a[8]*a[9] + a[7]*a[
             10] + a[6]*a[11]) + 
            792*a[1]^7*a[10]*a[12] + 
            126*a[1]^5*(11*a[6]^2*a[
             11] + 2*a[10]*a[12]) + 
            1287*a[1]^8*a[9]*a[13] + 
            126*a[1]^4*(10*a[6]*a[7]*a[
             10] + a[9]*a[13]) + 
            2002*a[1]^9*a[8]*a[14] + 
            28*a[1]^3*(9*a[7]^2*a[9] + 
             2*a[8]*(9*a[6]*a[9] + 
             a[14])) + 3003*a[1]^10*a[7]*
             a[15] + 21*a[1]^2*
             (8*a[6]*a[8]*a[9] + 
             a[7]*(8*a[8]^2 + a[15])) + 
            4368*a[1]^11*a[6]*a[16] + 
            3*a[1]*(14*a[7]^2*a[9] + 
             7*a[7]*(a[8]^2 + 2*a[6]*
             a[10]) + 2*a[6]*a[16]) + 
            1197*a[1]^17*a[21]) + 
          6*a[5]*(10*a[6]^4 + 5*a[7]*
             a[8]^2 + 42*a[3]^6*a[9] + 
            70*a[3]^3*a[7]*a[9] + 
            5*a[7]^2*a[9] + 5*a[3]*
             a[10]^2 + 10*a[3]*a[9]*
             a[11] + 5*a[6]^2*
             (21*a[3]^2*a[7] + 12*(1 + 
             42*a[1]^3)*a[3]*a[9] + 
             (1 + 12*a[1] + 462*a[1]^6)*
             a[11]) + 10*a[3]*a[8]*
             a[12] + 660*a[1]^7*
             (a[11]^2 + 12*a[3]*a[8]*a[
             12]) + 10*a[3]*a[7]*a[13] + 
            210*a[1]^6*(22*a[3]*a[9]*a[
             11] + 2*a[10]*a[12] + 
             143*a[3]^4*a[13]) + 
            990*a[1]^8*(a[10]*a[12] + 
             13*a[3]*a[7]*a[13]) + 
            252*a[1]^5*(10*a[3]*a[10]^
             2 + 55*a[3]^2*a[7]*a[11] + 
             a[9]*a[13]) + 2002*a[1]^10*
             a[8]*a[14] + 70*a[1]^4*
             (9*a[7]^2*a[9] + 90*a[3]^2*
             a[8]*a[10] + 18*a[3]*a[9]*a[
             11] + 2*a[8]*a[14]) + 
            2730*a[1]^11*a[7]*a[15] + 
            1430*a[1]^9*(a[9]*a[13] + 
             35*a[3]^3*a[15]) + 
            70*a[1]^3*(2*a[3]*(18*a[3]*
             a[9]^2 + 33*a[3]^4*a[11] + 
             4*a[8]*a[12]) + a[7]*(
             8*a[8]^2 + a[15])) + 
            10*a[6]*(14*a[3]^4*a[8] + 
             (1 + 6*a[1] + 56*a[1]^3 + 
             126*a[1]^4)*a[8]*a[9] + 
             840*a[1]^3*a[3]^3*a[10] + 
             a[7]*a[10] + 6*a[1]*a[7]*a[
             10] + 21*a[1]^2*a[7]*a[
             10] + 252*a[1]^5*a[7]*a[
             10] + 3*(1 + 924*a[1]^6)*
             a[3]^2*a[12] + a[3]*(
             6*(1 + 7*a[1] + 28*a[1]^2)*
             a[7]*a[8] + (1 + 6*a[1] + 
             2002*a[1]^9)*a[14]) + 
             a[1]*a[16] + 3*a[1]^2*a[
             16] + 364*a[1]^12*a[16]) + 
            5*a[3]^2*a[17] + 30940*
             a[1]^12*a[3]^2*a[17] + 
            7752*a[1]^15*a[3]*a[19] + 
            5*a[1]*(112*a[3]^3*a[8]^2 + 
             42*a[3]^2*a[7]*a[11] + 
             a[11]^2 + 2*(a[10]*a[12] + 
             a[9]*a[13] + a[8]*a[14] + 
             a[7]*a[15]) + 2*a[3]*(
             21*a[7]^3 + a[19])) + 
            665*a[1]^18*a[21] + 
            5*a[1]^2*(42*a[7]^2*a[9] + 
             168*a[3]^2*a[8]*a[10] + 
             21*a[7]*(a[8]^2 + 24*a[3]^3*
             a[9] + 2*a[3]*a[13]) + 
             a[21])) + 3*a[3]*
           (20*(3 + 28*a[1]^2)*a[6]^3*
             a[8] + 210*a[1]^2*a[7]*
             (a[9]^2 + 2*a[8]*a[10] + 
             2*a[7]*a[11]) + 1980*a[1]^8*
             a[12]^2 + 1320*a[1]^7*a[11]*
             a[13] + 2860*a[1]^9*a[11]*
             a[13] + 30*a[6]^2*
             (2*(1 + 7*a[1])*a[7]^2 + 
             a[1]*(4 + 429*a[1]^7)*a[
             13]) + 4004*a[1]^10*a[10]*
             a[14] + 420*a[1]^6*
             (11*a[7]^2*a[11] + 
             2*a[10]*a[14]) + 
            5460*a[1]^11*a[9]*a[15] + 
            504*a[1]^5*(10*a[7]*a[8]*a[
             10] + a[9]*a[15]) + 
            7280*a[1]^12*a[8]*a[16] + 
            140*a[1]^4*(9*a[8]^2*a[9] + 
             18*a[7]*a[9]^2 + 2*a[8]*a[
             16]) + 9520*a[1]^13*a[7]*
             a[17] + 140*a[1]^3*
             (8*a[8]^2*a[9] + 8*a[7]*a[
             8]*a[10] + a[7]*a[17]) + 
            20*a[1]*a[6]*(6*(1 + 
             21*a[1]^3 + 42*a[1]^4)*a[9]*
             a[10] + 2*(3 + 28*a[1]^2 + 
             231*a[1]^5)*a[8]*a[11] + 
             3*((2 + 7*a[1] + 264*a[1]^
             6)*a[7]*a[12] + a[1]*(1 + 
             204*a[1]^12)*a[18])) + 
            a[23] + 1771*a[1]^20*
             a[23]) + 2*a[25] + 
          300*a[1]^23*a[25]) + 
        2*a[2]*(3*a[5]^5*a[6] + 
          90*a[3]^2*a[6]^3*a[7] + 
          105*a[3]^4*a[6]*a[7]^2 + 
          28*a[3]^6*a[7]*a[8] + 
          30*a[3]^3*a[6]*a[8]^2 + 
          60*a[3]^3*a[6]*a[7]*a[9] + 
          60*a[3]^3*a[6]^2*a[10] + 
          21*a[3]^5*a[7]*a[10] + 
          10*a[5]^4*(42*a[1]^2*a[3]*
             a[8] + a[10] + 63*a[1]^5*
             a[10]) + 15*a[3]^4*a[6]*
           a[13] + 3*a[3]*a[12]*a[13] + 
          3*a[3]*a[11]*a[14] + 
          a[13]*a[14] + 2*a[5]^3*
           (280*a[1]*a[3]^3*a[8] + 
            5*(3 + 21*a[1]^2 + 56*a[1]^
             3)*a[7]*a[8] + 15*a[6]*
             a[9] + 30*a[1]*a[6]*a[9] + 
            630*a[1]^4*a[6]*a[9] + 
            3150*a[1]^4*a[3]^2*a[10] + 
            15*a[3]*(2*(1 + 7*a[1])*a[6]*
             a[7] + (1 + 264*a[1]^7)*a[
             12]) + 15*a[1]*a[14] + 
            1001*a[1]^10*a[14]) + 
          3*a[3]*a[10]*a[15] + 
          a[12]*a[15] + 78*a[1]^11*
           (7*a[7]^2*a[14] + 14*a[6]*
             a[8]*a[14] + 14*a[3]*a[11]*
             a[14] + a[13]*a[14] + 
            105*a[3]^2*a[8]*a[15]) + 
          3*a[3]*a[9]*a[16] + 
          a[11]*a[16] + 66*a[1]^10*
           (13*a[7]*a[8]*a[13] + 
            13*a[3]*a[12]*a[13] + 
            91*a[3]*a[6]^2*a[14] + 
            91*a[3]^2*a[9]*a[14] + 
            a[12]*a[15] + 13*a[6]*
             (a[9]*a[13] + 35*a[3]^3*a[
             15]) + 364*a[3]^5*a[16]) + 
          55*a[1]^9*(6*a[8]^2*a[12] + 
            12*a[6]*a[10]*a[12] + 
            78*a[3]^2*a[10]*a[13] + 
            12*a[3]*a[12]*a[13] + 
            4*a[7]*(3*a[9]*a[12] + 
             39*a[3]*a[6]*a[13] + 
             91*a[3]^3*a[14]) + 
            a[11]*a[16]) + 91*a[1]^12*
           (a[13]*a[14] + 
            15*(a[6]*a[7]*a[15] + 
             a[3]*(a[10]*a[15] + 8*a[3]*
             a[7]*a[16]))) + 3*a[3]*a[8]*
           a[17] + a[10]*a[17] + 
          120*a[1]^14*(a[11]*a[16] + 
            17*a[3]*a[8]*a[17]) + 
          45*a[1]^8*(11*a[7]*a[10]*
             a[11] + 11*a[6]*a[11]^2 + 
            66*a[3]*a[7]^2*a[12] + 
            66*a[3]^2*a[11]*a[12] + 
            11*a[8]*(a[9]*a[11] + 
             12*a[3]*a[6]*a[12] + 
             26*a[3]^3*a[13]) + 
            11*a[3]*a[11]*a[14] + 
            a[10]*a[17]) + 6*a[1]^2*
           (126*a[3]^5*a[8]*a[9] + 
            70*a[3]^4*a[8]*a[11] + 
            15*a[6]*(a[7]^2*a[9] + 
             a[7]*(a[8]^2 + 2*a[6]*
             a[10]) + a[6]*(2*a[8]*
             a[9] + a[6]*a[11])) + 
            15*a[3]*a[6]*(7*a[7]^3 + 
             a[10]^2 + 2*a[9]*a[11] + 
             2*a[8]*a[12] + a[7]*(7*a[6]*
             a[8] + 2*a[13]) + 2*a[6]*a[
             14]) + 35*a[3]^3*
             (4*a[7]^2*a[8] + 8*a[6]*
             a[8]^2 + a[7]*a[14]) + 
            15*a[3]^2*(7*a[7]^2*a[10] + 
             7*a[7]*(a[8]*a[9] + a[6]*
             a[11]) + a[6]*a[17])) + 
          3*a[3]*a[7]*a[18] + 
          a[9]*a[18] + 136*a[1]^15*
           (a[10]*a[17] + 18*a[3]*a[7]*
             a[18]) + 12*a[1]^7*
           (15*a[9]^2*a[10] + 55*a[6]^3*
             a[11] + 30*a[7]*a[10]*
             a[11] + 30*a[8]*(a[10]^2 + 
             11*a[3]*a[7]*a[11]) + 
            990*a[3]^2*a[6]^2*a[12] + 
            30*a[6]*a[10]*a[12] + 
            165*a[3]^2*a[11]*a[12] + 
            2145*a[3]^4*a[6]*a[13] + 
            1001*a[3]^6*a[14] + 
            30*a[3]*a[10]*a[15] + 
            3*a[9]*(110*a[3]*a[6]*a[
             11] + 220*a[3]^3*a[12] + 
             a[18])) + 6*a[5]^2*
           (14*a[3]^5*a[8] + 
            5*(1 + 6*a[1] + 28*a[1]^3)*
             a[6]^2*a[8] + 1050*a[1]^3*
             a[3]^4*a[10] + 35*a[3]^3*
             (a[6]*a[7] + 132*a[1]^6*a[
             12]) + 5*a[6]*
             ((1 + 3*a[1] + 21*a[1]^2)*
             a[7]^2 + a[1]*(2 + 3*a[1] + 
             143*a[1]^8)*a[13]) + 
            5*a[3]^2*(21*a[1]*a[7]*a[
             8] + 84*a[1]^2*a[7]*a[8] + 
             3*a[6]*a[9] + 252*a[1]^3*a[
             6]*a[9] + a[14] + 1001*a[1]^
             9*a[14]) + 5*a[3]*
             (3*a[6]^3 + 2*(1 + 
             28*a[1]^3 + 63*a[1]^4)*a[8]*
             a[9] + 2*a[7]*a[10] + 
             21*a[1]^2*a[7]*a[10] + 
             252*a[1]^5*a[7]*a[10] + 
             2*(1 + 3*a[1] + 231*a[1]^6)*
             a[6]*a[11] + 2*a[1]*a[16] + 
             364*a[1]^12*a[16]) + 
            a[1]*(2*(5 + 63*a[1]^4 + 
             105*a[1]^5)*a[9]*a[10] + 
             10*(1 + 7*a[1]^3 + 
             33*a[1]^6)*a[8]*a[11] + 
             10*a[7]*a[12] + 35*a[1]^2*a[
             7]*a[12] + 495*a[1]^7*a[7]*
             a[12] + 5*a[1]*a[18] + 
             204*a[1]^14*a[18])) + 
          105*a[1]^13*(a[12]*a[15] + 
            4*(2*a[6]^2*a[16] + 4*a[3]*a[
             9]*a[16] + 34*a[3]^2*a[6]*a[
             17] + 51*a[3]^4*a[18])) + 
          3*a[3]*a[6]*a[19] + 
          a[8]*a[19] + 171*a[1]^17*a[8]*
           a[19] + 28*a[1]^6*
           (45*a[6]^2*a[7]*a[10] + 
            9*a[9]^2*a[10] + 9*a[8]*a[9]*
             a[11] + 165*a[3]^3*a[10]*
             a[11] + 495*a[3]^4*a[7]*
             a[12] + 9*a[7]*a[9]*a[12] + 
            45*a[3]^2*a[10]*a[13] + 
            9*a[6]*(10*a[3]*a[10]^2 + 
             55*a[3]^2*a[7]*a[11] + 
             a[9]*a[13]) + 9*a[3]*
             (5*a[8]^2*a[10] + a[9]*(
             10*a[7]*a[10] + a[16])) + 
            a[8]*a[19]) + 10*a[1]^3*
           (252*a[3]^5*a[7]*a[10] + 
            126*a[3]^4*a[9]*a[10] + 
            56*a[3]^3*(9*a[6]*a[7]*a[
             9] + a[8]*a[13]) + 
            21*a[3]^2*(4*a[8]^3 + 
             8*a[8]*(a[7]*a[9] + a[6]*
             a[10]) + a[7]*a[16]) + 
            3*(7*a[7]^3*a[8] + 14*a[6]*
             a[7]^2*a[9] + a[6]*a[7]*(
             7*a[8]^2 + 7*a[6]*a[10] + 
             2*a[15]) + a[6]*(a[11]^2 + 
             2*(a[10]*a[12] + a[9]*
             a[13] + a[8]*a[14] + a[6]*
             a[16]))) + 6*a[3]*
             (28*a[6]^2*a[7]*a[8] + 
             7*a[7]*(a[9]*a[10] + 
             a[8]*a[11] + a[7]*a[12]) + 
             a[6]*(7*a[7]*a[13] + 
             a[19]))) + a[7]*a[20] + 
          190*a[1]^18*a[7]*a[20] + 
          51*a[1]^16*(3*a[9]*a[18] + 
            57*a[3]*a[6]*a[19] + 
            190*a[3]^3*a[20]) + 
          21*a[1]^5*(36*a[6]^2*a[8]*
             a[9] + 4*a[8]*a[10]^2 + 
            330*a[3]^4*a[8]*a[11] + 
            8*a[8]*a[9]*a[11] + 
            120*a[3]^3*a[10]*a[11] + 
            8*a[8]^2*a[12] + 8*a[7]*a[8]*
             a[13] + 4*a[6]*(9*a[7]^2*a[
             9] + 90*a[3]^2*a[8]*a[10] + 
             18*a[3]*a[9]*a[11] + 
             2*a[8]*a[14]) + 36*a[3]^2*
             (5*a[7]^2*a[10] + a[9]*a[
             14]) + 8*a[3]*(9*a[7]*a[9]*
             a[10] + a[8]*(9*a[9]^2 + 
             a[17])) + a[7]*a[20]) + 
          a[6]*a[21] + 5*a[1]^4*
           (28*a[7]^3*a[8] + 21*a[7]^2*
             a[14] + 21*a[7]*
             (36*a[3]^2*a[8]*a[9] + 
             a[10]*a[11] + a[9]*a[12] + 
             a[8]*a[13] + a[6]*(
             8*a[8]^2 + a[15]) + 
             a[3]*(8*a[8]*a[11] + 
             a[18])) + 3*(210*a[3]^4*a[
             9]*a[10] + 462*a[3]^5*a[6]*
             a[11] + 132*a[3]^7*a[12] + 
             28*a[3]*(3*a[6]^3*a[9] + 
             a[8]*(a[9]^2 + 2*a[8]*
             a[10]) + 2*a[6]*a[8]*
             a[12]) + 84*a[3]^3*(
             5*a[6]^2*a[10] + a[9]*
             a[12]) + 28*a[3]^2*(9*a[6]*
             a[9]^2 + a[8]*a[15]) + 
             a[6]*(28*a[6]*a[8]*a[9] + 
             a[21]))) + 3*a[3]^2*a[22] + 
          a[5]*(10*(1 + 18*a[1] + 
             21*a[1]^2)*a[6]^3*a[7] + 
            10*a[1]*a[8]^3 + 420*a[1]^4*
             a[8]^3 + 60*a[1]*a[7]*a[8]*
             a[9] + 420*a[1]^3*a[7]*a[8]*
             a[9] + 840*a[1]^4*a[7]*a[8]*
             a[9] + 1512*a[1]^5*a[7]*
             a[8]*a[9] + 1260*a[1]^2*
             a[3]^6*a[10] + 30*a[1]*
             a[7]^2*a[10] + 420*a[1]^3*
             a[7]^2*a[10] + 1260*a[1]^6*
             a[7]^2*a[10] + 16632*a[1]^5*
             a[3]^5*a[12] + 30*a[1]^2*
             a[11]*a[12] + 495*a[1]^8*
             a[11]*a[12] + 660*a[1]^9*
             a[11]*a[12] + 30*a[6]^2*
             (6*(1 + 14*a[1]^2)*a[3]^2*a[
             8] + (1 + 12*a[1] + 252*
             a[1]^5)*a[3]*a[10] + 
             a[1]*(1 + 6*a[1] + 
             99*a[1]^7)*a[12]) + 
            30*a[1]^2*a[10]*a[13] + 
            360*a[1]^7*a[10]*a[13] + 
            858*a[1]^10*a[10]*a[13] + 
            30*a[1]^2*a[9]*a[14] + 
            252*a[1]^6*a[9]*a[14] + 
            1092*a[1]^11*a[9]*a[14] + 
            105*a[3]^4*((1 + 8*a[1])*a[
             7]*a[8] + 429*a[1]^8*a[
             14]) + 30*a[1]^2*a[8]*
             a[15] + 168*a[1]^5*a[8]*
             a[15] + 1365*a[1]^12*a[8]*
             a[15] + 30*a[1]^2*a[7]*
             a[16] + 105*a[1]^4*a[7]*
             a[16] + 1680*a[1]^13*a[7]*
             a[16] + 10*a[3]^3*
             (168*a[1]^2*a[8]*a[9] + 
             504*a[1]^3*a[8]*a[9] + 
             42*a[1]*a[7]*a[10] + 
             1260*a[1]^4*a[7]*a[10] + 
             a[16] + 4368*a[1]^11*a[
             16]) + 6*a[6]*(630*a[1]^2*
             a[3]^4*a[9] + 10*(1 + 
             462*a[1]^5)*a[3]^3*a[11] + 
             5*a[3]^2*((3 + 42*a[1])*
             a[7]^2 + (1 + 6*a[1] + 
             1287*a[1]^8)*a[13]) + 
             5*a[3]*((1 + 6*a[1] + 
             112*a[1]^3)*a[8]^2 + 
             2*((1 + 6*a[1] + 21*a[1]^
             2 + 126*a[1]^4)*a[7]*a[9] + 
             a[1]*(1 + 3*a[1] + 273*
             a[1]^10)*a[15])) + 
             a[1]*((5 + 15*a[1] + 252*
             a[1]^4)*a[9]^2 + 
             5*(2*(1 + 3*a[1] + 14*a[1]^
             3 + 42*a[1]^5)*a[8]*a[10] + 
             2*(1 + 3*a[1] + 7*a[1]^2 + 
             66*a[1]^6)*a[7]*a[11] + 
             a[1]*(1 + 2*a[1] + 68*a[1]^
             12)*a[17]))) + 30*a[3]^2*
             ((1 + 126*a[1]^4 + 252*
             a[1]^5)*a[9]*a[10] + 
             (1 + 56*a[1]^3 + 462*a[1]^
             6)*a[8]*a[11] + a[7]*a[
             12] + 21*a[1]^2*a[7]*a[
             12] + 792*a[1]^7*a[7]*a[
             12] + a[1]*a[18] + 612*a[1]^
             14*a[18]) + 3*a[3]*
             (10*(1 + 42*a[1]^2 + 
             56*a[1]^3)*a[7]^2*a[8] + 
             840*a[1]^6*a[10]*a[11] + 
             1320*a[1]^7*a[10]*a[11] + 
             504*a[1]^5*a[9]*a[12] + 
             1980*a[1]^8*a[9]*a[12] + 
             280*a[1]^4*a[8]*a[13] + 
             2860*a[1]^9*a[8]*a[13] + 
             20*a[1]*(a[10]*a[11] + 
             a[9]*a[12] + a[8]*a[13]) + 
             4*a[1]*(5 + 35*a[1]^2 + 
             1001*a[1]^9)*a[7]*a[14] + 
             a[20] + 10*a[1]^2*a[20] + 
             1140*a[1]^17*a[20]) + 
            a[22] + 10*a[1]^3*a[22] + 
            231*a[1]^20*a[22]) + 
          210*a[1]^19*(a[6]*a[21] + 
            11*a[3]^2*a[22]) + 
          a[3]*a[24] + 276*a[1]^22*a[3]*
           a[24] + 13*a[1]^25*a[26] + 
          a[1]*(15*a[6]^5 + 420*a[3]^3*
             a[7]^2*a[8] + 168*a[3]^5*
             a[8]*a[9] + 30*a[3]*a[6]^3*
             (7*a[3]*a[7] + 6*a[9]) + 
            45*a[3]^8*a[10] + 105*a[3]^4*
             a[7]*a[12] + 60*a[3]*a[6]^2*
             (7*a[3]^3*a[8] + 6*a[7]*a[
             8] + 3*a[3]*a[12]) + 
            6*a[3]*a[6]*(10*a[7]^3 + 
             10*a[3]*a[7]*(7*a[3]*a[9] + 
             3*a[11]) + a[3]*(42*a[3]^4*
             a[9] + 15*a[9]^2 + 30*a[8]*
             a[10] + 10*a[3]*a[15])) + 
            3*a[3]*a[24] + a[26])) - 
        b[27]));
  
  a[28] = -((1/(a[1] + a[1]^28))*
       (30*a[2]*a[5]^4*a[6]^2 + 
        10*a[5]^3*a[6]^3 + 60*a[1]*
         a[5]^3*a[6]^3 + 15*a[2]^2*
         a[6]^5 + a[4]^7*a[7] + 
        42*a[1]*a[2]*a[5]^5*a[7] + 
        20*a[5]^4*a[6]*a[7] + 
        30*a[1]*a[5]^4*a[6]*a[7] + 
        105*a[1]^2*a[5]^4*a[6]*a[7] + 
        210*a[2]^3*a[5]^2*a[6]^2*a[7] + 
        180*a[2]^2*a[5]*a[6]^3*a[7] + 
        420*a[1]*a[2]^2*a[5]*a[6]^3*
         a[7] + 120*a[1]*a[2]*a[6]^4*
         a[7] + 105*a[1]^2*a[2]*a[6]^4*
         a[7] + 140*a[2]^3*a[5]^3*
         a[7]^2 + 90*a[2]^2*a[5]^2*a[6]*
         a[7]^2 + 1260*a[1]*a[2]^2*
         a[5]^2*a[6]*a[7]^2 + 
        30*a[2]*a[5]*a[6]^2*a[7]^2 + 
        360*a[1]*a[2]*a[5]*a[6]^2*
         a[7]^2 + 1260*a[1]^2*a[2]*a[5]*
         a[6]^2*a[7]^2 + 90*a[1]^2*
         a[6]^3*a[7]^2 + 140*a[1]^3*
         a[6]^3*a[7]^2 + 20*a[2]*a[5]^2*
         a[7]^3 + 630*a[1]^2*a[2]*a[5]^2*
         a[7]^3 + 105*a[2]^4*a[6]*
         a[7]^3 + 20*a[1]*a[5]*a[6]*
         a[7]^3 + 60*a[1]^2*a[5]*a[6]*
         a[7]^3 + 420*a[1]^3*a[5]*a[6]*
         a[7]^3 + 140*a[1]*a[2]^3*
         a[7]^4 + 70*a[2]^4*a[5]^4*
         a[8] + 5*a[5]^5*a[8] + 
        56*a[1]^3*a[5]^5*a[8] + 
        1120*a[1]*a[2]^3*a[5]^3*a[6]*
         a[8] + 180*a[2]^2*a[5]^2*a[6]^2*
         a[8] + 2520*a[1]^2*a[2]^2*
         a[5]^2*a[6]^2*a[8] + 
        56*a[2]^5*a[6]^3*a[8] + 
        20*a[2]*a[5]*a[6]^3*a[8] + 
        360*a[1]*a[2]*a[5]*a[6]^3*a[8] + 
        1120*a[1]^3*a[2]*a[5]*a[6]^3*
         a[8] + 60*a[1]^2*a[6]^4*a[8] + 
        70*a[1]^4*a[6]^4*a[8] + 
        420*a[1]*a[2]^2*a[5]^3*a[7]*
         a[8] + 1680*a[1]^2*a[2]^2*
         a[5]^3*a[7]*a[8] + 336*a[2]^5*
         a[5]*a[6]*a[7]*a[8] + 
        120*a[2]*a[5]^2*a[6]*a[7]*a[8] + 
        360*a[1]*a[2]*a[5]^2*a[6]*a[7]*
         a[8] + 1260*a[1]^2*a[2]*a[5]^2*
         a[6]*a[7]*a[8] + 3360*a[1]^3*
         a[2]*a[5]^2*a[6]*a[7]*a[8] + 
        105*a[2]^4*a[6]^2*a[7]*a[8] + 
        840*a[1]*a[2]^4*a[6]^2*a[7]*
         a[8] + 60*a[1]*a[5]*a[6]^2*a[7]*
         a[8] + 360*a[1]^2*a[5]*a[6]^2*
         a[7]*a[8] + 420*a[1]^3*a[5]*
         a[6]^2*a[7]*a[8] + 840*a[1]^4*
         a[5]*a[6]^2*a[7]*a[8] + 
        210*a[2]^4*a[5]*a[7]^2*a[8] + 
        840*a[1]*a[2]^4*a[5]*a[7]^2*
         a[8] + 60*a[1]*a[5]^2*a[7]^2*
         a[8] + 420*a[1]^3*a[5]^2*a[7]^2*
         a[8] + 420*a[1]^4*a[5]^2*a[7]^2*
         a[8] + 60*a[2]^3*a[6]*a[7]^2*
         a[8] + 840*a[1]*a[2]^3*a[6]*
         a[7]^2*a[8] + 1680*a[1]^2*
         a[2]^3*a[6]*a[7]^2*a[8] + 
        630*a[1]^2*a[2]^2*a[7]^3*a[8] + 
        560*a[1]^3*a[2]^2*a[7]^3*a[8] + 
        168*a[2]^5*a[5]^2*a[8]^2 + 
        30*a[2]*a[5]^3*a[8]^2 + 
        1120*a[1]^3*a[2]*a[5]^3*a[8]^2 + 
        1680*a[1]*a[2]^4*a[5]*a[6]*
         a[8]^2 + 60*a[1]*a[5]^2*a[6]*
         a[8]^2 + 90*a[1]^2*a[5]^2*a[6]*
         a[8]^2 + 840*a[1]^4*a[5]^2*a[6]*
         a[8]^2 + 60*a[2]^3*a[6]^2*
         a[8]^2 + 1680*a[1]^2*a[2]^3*
         a[6]^2*a[8]^2 + 420*a[1]*a[2]^3*
         a[5]*a[7]*a[8]^2 + 3360*a[1]^2*
         a[2]^3*a[5]*a[7]*a[8]^2 + 
        180*a[1]*a[2]^2*a[6]*a[7]*
         a[8]^2 + 630*a[1]^2*a[2]^2*a[6]*
         a[7]*a[8]^2 + 3360*a[1]^3*
         a[2]^2*a[6]*a[7]*a[8]^2 + 
        420*a[1]^3*a[2]*a[7]^2*a[8]^2 + 
        840*a[1]^4*a[2]*a[7]^2*a[8]^2 + 
        28*a[2]^6*a[8]^3 + 10*a[2]^2*
         a[5]*a[8]^3 + 1680*a[1]^3*
         a[2]^2*a[5]*a[8]^3 + 
        60*a[1]^2*a[2]*a[6]*a[8]^3 + 
        840*a[1]^4*a[2]*a[6]*a[8]^3 + 
        35*a[1]^4*a[7]*a[8]^3 + 
        168*a[1]^5*a[7]*a[8]^3 + 
        1260*a[1]^2*a[2]^3*a[5]^4*a[9] + 
        252*a[2]^6*a[5]^2*a[6]*a[9] + 
        60*a[2]^2*a[5]^3*a[6]*a[9] + 
        5040*a[1]^3*a[2]^2*a[5]^3*a[6]*
         a[9] + 1512*a[1]*a[2]^5*a[5]*
         a[6]^2*a[9] + 60*a[2]*a[5]^2*
         a[6]^2*a[9] + 360*a[1]*a[2]*
         a[5]^2*a[6]^2*a[9] + 
        3780*a[1]^4*a[2]*a[5]^2*a[6]^2*
         a[9] + 1260*a[1]^2*a[2]^4*
         a[6]^3*a[9] + 20*a[1]*a[5]*
         a[6]^3*a[9] + 180*a[1]^2*a[5]*
         a[6]^3*a[9] + 504*a[1]^5*a[5]*
         a[6]^3*a[9] + 1512*a[1]*a[2]^5*
         a[5]^2*a[7]*a[9] + 60*a[2]*
         a[5]^3*a[7]*a[9] + 420*a[1]^2*
         a[2]*a[5]^3*a[7]*a[9] + 
        2520*a[1]^4*a[2]*a[5]^3*a[7]*
         a[9] + 210*a[2]^4*a[5]*a[6]*
         a[7]*a[9] + 7560*a[1]^2*a[2]^4*
         a[5]*a[6]*a[7]*a[9] + 
        120*a[1]*a[5]^2*a[6]*a[7]*a[9] + 
        180*a[1]^2*a[5]^2*a[6]*a[7]*
         a[9] + 420*a[1]^3*a[5]^2*a[6]*
         a[7]*a[9] + 1512*a[1]^5*a[5]^2*
         a[6]*a[7]*a[9] + 120*a[2]^3*
         a[6]^2*a[7]*a[9] + 420*a[1]*
         a[2]^3*a[6]^2*a[7]*a[9] + 
        5040*a[1]^3*a[2]^3*a[6]^2*a[7]*
         a[9] + 36*a[2]^7*a[7]^2*a[9] + 
        840*a[1]*a[2]^3*a[5]*a[7]^2*
         a[9] + 5040*a[1]^3*a[2]^3*a[5]*
         a[7]^2*a[9] + 180*a[1]*a[2]^2*
         a[6]*a[7]^2*a[9] + 1260*a[1]^2*
         a[2]^2*a[6]*a[7]^2*a[9] + 
        3780*a[1]^4*a[2]^2*a[6]*a[7]^2*
         a[9] + 420*a[1]^3*a[2]*a[7]^3*
         a[9] + 504*a[1]^5*a[2]*a[7]^3*
         a[9] + 840*a[1]*a[2]^4*a[5]^2*
         a[8]*a[9] + 3780*a[1]^2*a[2]^4*
         a[5]^2*a[8]*a[9] + 60*a[1]*
         a[5]^3*a[8]*a[9] + 280*a[1]^4*
         a[5]^3*a[8]*a[9] + 504*a[1]^5*
         a[5]^3*a[8]*a[9] + 72*a[2]^7*
         a[6]*a[8]*a[9] + 120*a[2]^3*
         a[5]*a[6]*a[8]*a[9] + 
        3360*a[1]^2*a[2]^3*a[5]*a[6]*
         a[8]*a[9] + 10080*a[1]^3*a[2]^3*
         a[5]*a[6]*a[8]*a[9] + 
        360*a[1]*a[2]^2*a[6]^2*a[8]*
         a[9] + 1680*a[1]^3*a[2]^2*
         a[6]^2*a[8]*a[9] + 3780*a[1]^4*
         a[2]^2*a[6]^2*a[8]*a[9] + 
        56*a[2]^6*a[7]*a[8]*a[9] + 
        504*a[1]*a[2]^6*a[7]*a[8]*a[9] + 
        60*a[2]^2*a[5]*a[7]*a[8]*a[9] + 
        1260*a[1]^2*a[2]^2*a[5]*a[7]*
         a[8]*a[9] + 3360*a[1]^3*a[2]^2*
         a[5]*a[7]*a[8]*a[9] + 
        7560*a[1]^4*a[2]^2*a[5]*a[7]*
         a[8]*a[9] + 360*a[1]^2*a[2]*
         a[6]*a[7]*a[8]*a[9] + 
        840*a[1]^3*a[2]*a[6]*a[7]*a[8]*
         a[9] + 1680*a[1]^4*a[2]*a[6]*
         a[7]*a[8]*a[9] + 3024*a[1]^5*
         a[2]*a[6]*a[7]*a[8]*a[9] + 
        210*a[1]^4*a[7]^2*a[8]*a[9] + 
        168*a[1]^5*a[7]^2*a[8]*a[9] + 
        252*a[1]^6*a[7]^2*a[8]*a[9] + 
        336*a[1]*a[2]^5*a[8]^2*a[9] + 
        756*a[1]^2*a[2]^5*a[8]^2*a[9] + 
        60*a[1]*a[2]*a[5]*a[8]^2*a[9] + 
        1680*a[1]^4*a[2]*a[5]*a[8]^2*
         a[9] + 1512*a[1]^5*a[2]*a[5]*
         a[8]^2*a[9] + 60*a[1]^3*a[6]*
         a[8]^2*a[9] + 336*a[1]^5*a[6]*
         a[8]^2*a[9] + 252*a[1]^6*a[6]*
         a[8]^2*a[9] + 72*a[2]^7*a[5]*
         a[9]^2 + 5040*a[1]^3*a[2]^3*
         a[5]^2*a[9]^2 + 504*a[1]*a[2]^6*
         a[6]*a[9]^2 + 30*a[2]^2*a[5]*
         a[6]*a[9]^2 + 180*a[1]*a[2]^2*
         a[5]*a[6]*a[9]^2 + 7560*a[1]^4*
         a[2]^2*a[5]*a[6]*a[9]^2 + 
        180*a[1]^2*a[2]*a[6]^2*a[9]^2 + 
        1512*a[1]^5*a[2]*a[6]^2*a[9]^2 + 
        21*a[2]^5*a[7]*a[9]^2 + 
        1512*a[1]^2*a[2]^5*a[7]*a[9]^2 + 
        60*a[1]*a[2]*a[5]*a[7]*a[9]^2 + 
        420*a[1]^3*a[2]*a[5]*a[7]*
         a[9]^2 + 3024*a[1]^5*a[2]*a[5]*
         a[7]*a[9]^2 + 60*a[1]^3*a[6]*
         a[7]*a[9]^2 + 105*a[1]^4*a[6]*
         a[7]*a[9]^2 + 504*a[1]^6*a[6]*
         a[7]*a[9]^2 + 420*a[1]^2*a[2]^4*
         a[8]*a[9]^2 + 2520*a[1]^3*
         a[2]^4*a[8]*a[9]^2 + 
        30*a[1]^2*a[5]*a[8]*a[9]^2 + 
        168*a[1]^5*a[5]*a[8]*a[9]^2 + 
        504*a[1]^6*a[5]*a[8]*a[9]^2 + 
        1260*a[1]^4*a[2]^3*a[9]^3 + 
        10*a[1]*a[3]^9*a[10] + 
        840*a[1]*a[2]^6*a[5]^3*a[10] + 
        3150*a[1]^4*a[2]^2*a[5]^4*
         a[10] + 7560*a[1]^2*a[2]^5*
         a[5]^2*a[6]*a[10] + 
        60*a[2]*a[5]^3*a[6]*a[10] + 
        120*a[1]*a[2]*a[5]^3*a[6]*
         a[10] + 5040*a[1]^5*a[2]*a[5]^3*
         a[6]*a[10] + 45*a[2]^8*a[6]^2*
         a[10] + 12600*a[1]^3*a[2]^4*
         a[5]*a[6]^2*a[10] + 
        60*a[1]*a[5]^2*a[6]^2*a[10] + 
        180*a[1]^2*a[5]^2*a[6]^2*a[10] + 
        1260*a[1]^6*a[5]^2*a[6]^2*
         a[10] + 60*a[2]^3*a[6]^3*
         a[10] + 4200*a[1]^4*a[2]^3*
         a[6]^3*a[10] + 90*a[2]^8*a[5]*
         a[7]*a[10] + 105*a[2]^4*a[5]^2*
         a[7]*a[10] + 12600*a[1]^3*
         a[2]^4*a[5]^2*a[7]*a[10] + 
        60*a[1]*a[5]^3*a[7]*a[10] + 
        140*a[1]^3*a[5]^3*a[7]*a[10] + 
        840*a[1]^6*a[5]^3*a[7]*a[10] + 
        720*a[1]*a[2]^7*a[6]*a[7]*
         a[10] + 120*a[2]^3*a[5]*a[6]*
         a[7]*a[10] + 840*a[1]*a[2]^3*
         a[5]*a[6]*a[7]*a[10] + 
        25200*a[1]^4*a[2]^3*a[5]*a[6]*
         a[7]*a[10] + 360*a[1]*a[2]^2*
         a[6]^2*a[7]*a[10] + 630*a[1]^2*
         a[2]^2*a[6]^2*a[7]*a[10] + 
        7560*a[1]^5*a[2]^2*a[6]^2*a[7]*
         a[10] + 1260*a[1]^2*a[2]^6*
         a[7]^2*a[10] + 30*a[2]^2*a[5]*
         a[7]^2*a[10] + 1260*a[1]^2*
         a[2]^2*a[5]*a[7]^2*a[10] + 
        7560*a[1]^5*a[2]^2*a[5]*a[7]^2*
         a[10] + 180*a[1]^2*a[2]*a[6]*
         a[7]^2*a[10] + 840*a[1]^3*a[2]*
         a[6]*a[7]^2*a[10] + 2520*a[1]^6*
         a[2]*a[6]*a[7]^2*a[10] + 
        105*a[1]^4*a[7]^3*a[10] + 
        120*a[1]^7*a[7]^3*a[10] + 
        720*a[1]*a[2]^7*a[5]*a[8]*
         a[10] + 1680*a[1]^2*a[2]^3*
         a[5]^2*a[8]*a[10] + 
        12600*a[1]^4*a[2]^3*a[5]^2*a[8]*
         a[10] + 56*a[2]^6*a[6]*a[8]*
         a[10] + 2520*a[1]^2*a[2]^6*a[6]*
         a[8]*a[10] + 60*a[2]^2*a[5]*
         a[6]*a[8]*a[10] + 360*a[1]*
         a[2]^2*a[5]*a[6]*a[8]*a[10] + 
        3360*a[1]^3*a[2]^2*a[5]*a[6]*
         a[8]*a[10] + 15120*a[1]^5*
         a[2]^2*a[5]*a[6]*a[8]*a[10] + 
        360*a[1]^2*a[2]*a[6]^2*a[8]*
         a[10] + 840*a[1]^4*a[2]*a[6]^2*
         a[8]*a[10] + 2520*a[1]^6*a[2]*
         a[6]^2*a[8]*a[10] + 
        42*a[2]^5*a[7]*a[8]*a[10] + 
        336*a[1]*a[2]^5*a[7]*a[8]*
         a[10] + 5040*a[1]^3*a[2]^5*a[7]*
         a[8]*a[10] + 120*a[1]*a[2]*a[5]*
         a[7]*a[8]*a[10] + 840*a[1]^3*
         a[2]*a[5]*a[7]*a[8]*a[10] + 
        1680*a[1]^4*a[2]*a[5]*a[7]*a[8]*
         a[10] + 5040*a[1]^6*a[2]*a[5]*
         a[7]*a[8]*a[10] + 120*a[1]^3*
         a[6]*a[7]*a[8]*a[10] + 
        210*a[1]^4*a[6]*a[7]*a[8]*
         a[10] + 336*a[1]^5*a[6]*a[7]*
         a[8]*a[10] + 720*a[1]^7*a[6]*
         a[7]*a[8]*a[10] + 840*a[1]^2*
         a[2]^4*a[8]^2*a[10] + 
        3150*a[1]^4*a[2]^4*a[8]^2*
         a[10] + 30*a[1]^2*a[5]*a[8]^2*
         a[10] + 336*a[1]^5*a[5]*a[8]^2*
         a[10] + 360*a[1]^7*a[5]*a[8]^2*
         a[10] + 504*a[1]*a[2]^6*a[5]*
         a[9]*a[10] + 2520*a[1]^2*a[2]^6*
         a[5]*a[9]*a[10] + 60*a[2]^2*
         a[5]^2*a[9]*a[10] + 3780*a[1]^4*
         a[2]^2*a[5]^2*a[9]*a[10] + 
        7560*a[1]^5*a[2]^2*a[5]^2*a[9]*
         a[10] + 1512*a[1]^2*a[2]^5*a[6]*
         a[9]*a[10] + 5040*a[1]^3*a[2]^5*
         a[6]*a[9]*a[10] + 120*a[1]*a[2]*
         a[5]*a[6]*a[9]*a[10] + 
        360*a[1]^2*a[2]*a[5]*a[6]*a[9]*
         a[10] + 3024*a[1]^5*a[2]*a[5]*
         a[6]*a[9]*a[10] + 5040*a[1]^6*
         a[2]*a[5]*a[6]*a[9]*a[10] + 
        120*a[1]^3*a[6]^2*a[9]*a[10] + 
        252*a[1]^6*a[6]^2*a[9]*a[10] + 
        360*a[1]^7*a[6]^2*a[9]*a[10] + 
        210*a[1]*a[2]^4*a[7]*a[9]*
         a[10] + 2520*a[1]^3*a[2]^4*a[7]*
         a[9]*a[10] + 6300*a[1]^4*a[2]^4*
         a[7]*a[9]*a[10] + 60*a[1]^2*
         a[5]*a[7]*a[9]*a[10] + 
        210*a[1]^4*a[5]*a[7]*a[9]*
         a[10] + 504*a[1]^6*a[5]*a[7]*
         a[9]*a[10] + 720*a[1]^7*a[5]*
         a[7]*a[9]*a[10] + 1120*a[1]^3*
         a[2]^3*a[8]*a[9]*a[10] + 
        2520*a[1]^4*a[2]^3*a[8]*a[9]*
         a[10] + 5040*a[1]^5*a[2]^3*a[8]*
         a[9]*a[10] + 1512*a[1]^5*a[2]^2*
         a[9]^2*a[10] + 1260*a[1]^6*
         a[2]^2*a[9]^2*a[10] + 
        10*a[2]^9*a[10]^2 + 5040*a[1]^3*
         a[2]^5*a[5]*a[10]^2 + 
        60*a[1]*a[2]*a[5]^2*a[10]^2 + 
        2520*a[1]^6*a[2]*a[5]^2*
         a[10]^2 + 15*a[2]^4*a[6]*
         a[10]^2 + 6300*a[1]^4*a[2]^4*
         a[6]*a[10]^2 + 30*a[1]^2*a[5]*
         a[6]*a[10]^2 + 60*a[1]^3*a[5]*
         a[6]*a[10]^2 + 720*a[1]^7*a[5]*
         a[6]*a[10]^2 + 210*a[1]^2*
         a[2]^3*a[7]*a[10]^2 + 
        5040*a[1]^5*a[2]^3*a[7]*
         a[10]^2 + 420*a[1]^4*a[2]^2*
         a[8]*a[10]^2 + 2520*a[1]^6*
         a[2]^2*a[8]*a[10]^2 + 
        252*a[1]^6*a[2]*a[9]*a[10]^2 + 
        720*a[1]^7*a[2]*a[9]*a[10]^2 + 
        45*a[1]^8*a[10]^3 + 14*a[4]^6*
         (2*a[2]^2*a[8] + 4*a[1]*a[3]*
           a[8] + 18*a[1]^2*a[2]*a[9] + 
          15*a[1]^4*a[10]) + 
        55*a[2]^9*a[5]^2*a[11] + 
        9240*a[1]^3*a[2]^5*a[5]^3*
         a[11] + 20*a[2]*a[5]^4*a[11] + 
        2310*a[1]^6*a[2]*a[5]^4*a[11] + 
        990*a[1]*a[2]^8*a[5]*a[6]*
         a[11] + 34650*a[1]^4*a[2]^4*
         a[5]^2*a[6]*a[11] + 
        60*a[1]*a[5]^3*a[6]*a[11] + 
        60*a[1]^2*a[5]^3*a[6]*a[11] + 
        1320*a[1]^7*a[5]^3*a[6]*a[11] + 
        1980*a[1]^2*a[2]^7*a[6]^2*
         a[11] + 120*a[2]^3*a[5]*a[6]^2*
         a[11] + 27720*a[1]^5*a[2]^3*
         a[5]*a[6]^2*a[11] + 
        180*a[1]*a[2]^2*a[6]^3*a[11] + 
        4620*a[1]^6*a[2]^2*a[6]^3*
         a[11] + 3960*a[1]^2*a[2]^7*a[5]*
         a[7]*a[11] + 420*a[1]*a[2]^3*
         a[5]^2*a[7]*a[11] + 
        27720*a[1]^5*a[2]^3*a[5]^2*a[7]*
         a[11] + 9240*a[1]^3*a[2]^6*a[6]*
         a[7]*a[11] + 60*a[2]^2*a[5]*
         a[6]*a[7]*a[11] + 360*a[1]*
         a[2]^2*a[5]*a[6]*a[7]*a[11] + 
        1260*a[1]^2*a[2]^2*a[5]*a[6]*
         a[7]*a[11] + 27720*a[1]^6*
         a[2]^2*a[5]*a[6]*a[7]*a[11] + 
        360*a[1]^2*a[2]*a[6]^2*a[7]*
         a[11] + 420*a[1]^3*a[2]*a[6]^2*
         a[7]*a[11] + 3960*a[1]^7*a[2]*
         a[6]^2*a[7]*a[11] + 
        42*a[2]^5*a[7]^2*a[11] + 
        6930*a[1]^4*a[2]^5*a[7]^2*
         a[11] + 60*a[1]*a[2]*a[5]*
         a[7]^2*a[11] + 840*a[1]^3*a[2]*
         a[5]*a[7]^2*a[11] + 3960*a[1]^7*
         a[2]*a[5]*a[7]^2*a[11] + 
        60*a[1]^3*a[6]*a[7]^2*a[11] + 
        210*a[1]^4*a[6]*a[7]^2*a[11] + 
        495*a[1]^8*a[6]*a[7]^2*a[11] + 
        11*a[2]^10*a[8]*a[11] + 
        56*a[2]^6*a[5]*a[8]*a[11] + 
        9240*a[1]^3*a[2]^6*a[5]*a[8]*
         a[11] + 60*a[2]^2*a[5]^2*a[8]*
         a[11] + 1680*a[1]^3*a[2]^2*
         a[5]^2*a[8]*a[11] + 
        13860*a[1]^6*a[2]^2*a[5]^2*a[8]*
         a[11] + 336*a[1]*a[2]^5*a[6]*
         a[8]*a[11] + 13860*a[1]^4*
         a[2]^5*a[6]*a[8]*a[11] + 
        120*a[1]*a[2]*a[5]*a[6]*a[8]*
         a[11] + 360*a[1]^2*a[2]*a[5]*
         a[6]*a[8]*a[11] + 1680*a[1]^4*
         a[2]*a[5]*a[6]*a[8]*a[11] + 
        7920*a[1]^7*a[2]*a[5]*a[6]*a[8]*
         a[11] + 120*a[1]^3*a[6]^2*a[8]*
         a[11] + 168*a[1]^5*a[6]^2*a[8]*
         a[11] + 495*a[1]^8*a[6]^2*a[8]*
         a[11] + 210*a[1]*a[2]^4*a[7]*
         a[8]*a[11] + 840*a[1]^2*a[2]^4*
         a[7]*a[8]*a[11] + 13860*a[1]^5*
         a[2]^4*a[7]*a[8]*a[11] + 
        60*a[1]^2*a[5]*a[7]*a[8]*a[11] + 
        210*a[1]^4*a[5]*a[7]*a[8]*
         a[11] + 336*a[1]^5*a[5]*a[7]*
         a[8]*a[11] + 990*a[1]^8*a[5]*
         a[7]*a[8]*a[11] + 1120*a[1]^3*
         a[2]^3*a[8]^2*a[11] + 
        4620*a[1]^6*a[2]^3*a[8]^2*
         a[11] + 110*a[1]*a[2]^9*a[9]*
         a[11] + 1512*a[1]^2*a[2]^5*a[5]*
         a[9]*a[11] + 13860*a[1]^4*
         a[2]^5*a[5]*a[9]*a[11] + 
        120*a[1]*a[2]*a[5]^2*a[9]*
         a[11] + 1512*a[1]^5*a[2]*a[5]^2*
         a[9]*a[11] + 3960*a[1]^7*a[2]*
         a[5]^2*a[9]*a[11] + 
        30*a[2]^4*a[6]*a[9]*a[11] + 
        2520*a[1]^3*a[2]^4*a[6]*a[9]*
         a[11] + 13860*a[1]^5*a[2]^4*
         a[6]*a[9]*a[11] + 60*a[1]^2*
         a[5]*a[6]*a[9]*a[11] + 
        120*a[1]^3*a[5]*a[6]*a[9]*
         a[11] + 504*a[1]^6*a[5]*a[6]*
         a[9]*a[11] + 990*a[1]^8*a[5]*
         a[6]*a[9]*a[11] + 420*a[1]^2*
         a[2]^3*a[7]*a[9]*a[11] + 
        2520*a[1]^4*a[2]^3*a[7]*a[9]*
         a[11] + 9240*a[1]^6*a[2]^3*a[7]*
         a[9]*a[11] + 840*a[1]^4*a[2]^2*
         a[8]*a[9]*a[11] + 1512*a[1]^5*
         a[2]^2*a[8]*a[9]*a[11] + 
        3960*a[1]^7*a[2]^2*a[8]*a[9]*
         a[11] + 504*a[1]^6*a[2]*a[9]^2*
         a[11] + 495*a[1]^8*a[2]*a[9]^2*
         a[11] + 90*a[1]*a[2]^8*a[10]*
         a[11] + 495*a[1]^2*a[2]^8*a[10]*
         a[11] + 6300*a[1]^4*a[2]^4*a[5]*
         a[10]*a[11] + 13860*a[1]^5*
         a[2]^4*a[5]*a[10]*a[11] + 
        60*a[1]^2*a[5]^2*a[10]*a[11] + 
        360*a[1]^7*a[5]^2*a[10]*a[11] + 
        495*a[1]^8*a[5]^2*a[10]*a[11] + 
        120*a[1]*a[2]^3*a[6]*a[10]*
         a[11] + 5040*a[1]^5*a[2]^3*a[6]*
         a[10]*a[11] + 9240*a[1]^6*
         a[2]^3*a[6]*a[10]*a[11] + 
        420*a[1]^3*a[2]^2*a[7]*a[10]*
         a[11] + 2520*a[1]^6*a[2]^2*a[7]*
         a[10]*a[11] + 3960*a[1]^7*
         a[2]^2*a[7]*a[10]*a[11] + 
        336*a[1]^5*a[2]*a[8]*a[10]*
         a[11] + 720*a[1]^7*a[2]*a[8]*
         a[10]*a[11] + 990*a[1]^8*a[2]*
         a[8]*a[10]*a[11] + 72*a[1]^7*
         a[9]*a[10]*a[11] + 90*a[1]^8*
         a[9]*a[10]*a[11] + 110*a[1]^9*
         a[9]*a[10]*a[11] + 1320*a[1]^3*
         a[2]^7*a[11]^2 + 10*a[2]^3*a[5]*
         a[11]^2 + 9240*a[1]^6*a[2]^3*
         a[5]*a[11]^2 + 90*a[1]^2*a[2]^2*
         a[6]*a[11]^2 + 3960*a[1]^7*
         a[2]^2*a[6]*a[11]^2 + 
        105*a[1]^4*a[2]*a[7]*a[11]^2 + 
        990*a[1]^8*a[2]*a[7]*a[11]^2 + 
        28*a[1]^6*a[8]*a[11]^2 + 
        110*a[1]^9*a[8]*a[11]^2 + 
        2970*a[1]^2*a[2]^8*a[5]^2*
         a[12] + 27720*a[1]^5*a[2]^4*
         a[5]^3*a[12] + 20*a[1]*a[5]^4*
         a[12] + 495*a[1]^8*a[5]^4*
         a[12] + 12*a[2]^11*a[6]*a[12] + 
        15840*a[1]^3*a[2]^7*a[5]*a[6]*
         a[12] + 60*a[2]^3*a[5]^2*a[6]*
         a[12] + 55440*a[1]^6*a[2]^3*
         a[5]^2*a[6]*a[12] + 
        13860*a[1]^4*a[2]^6*a[6]^2*
         a[12] + 30*a[2]^2*a[5]*a[6]^2*
         a[12] + 360*a[1]*a[2]^2*a[5]*
         a[6]^2*a[12] + 23760*a[1]^7*
         a[2]^2*a[5]*a[6]^2*a[12] + 
        180*a[1]^2*a[2]*a[6]^3*a[12] + 
        1980*a[1]^8*a[2]*a[6]^3*a[12] + 
        132*a[1]*a[2]^10*a[7]*a[12] + 
        27720*a[1]^4*a[2]^6*a[5]*a[7]*
         a[12] + 60*a[2]^2*a[5]^2*a[7]*
         a[12] + 630*a[1]^2*a[2]^2*
         a[5]^2*a[7]*a[12] + 
        23760*a[1]^7*a[2]^2*a[5]^2*a[7]*
         a[12] + 42*a[2]^5*a[6]*a[7]*
         a[12] + 33264*a[1]^5*a[2]^5*
         a[6]*a[7]*a[12] + 120*a[1]*a[2]*
         a[5]*a[6]*a[7]*a[12] + 
        360*a[1]^2*a[2]*a[5]*a[6]*a[7]*
         a[12] + 840*a[1]^3*a[2]*a[5]*
         a[6]*a[7]*a[12] + 11880*a[1]^8*
         a[2]*a[5]*a[6]*a[7]*a[12] + 
        120*a[1]^3*a[6]^2*a[7]*a[12] + 
        105*a[1]^4*a[6]^2*a[7]*a[12] + 
        660*a[1]^9*a[6]^2*a[7]*a[12] + 
        210*a[1]*a[2]^4*a[7]^2*a[12] + 
        13860*a[1]^6*a[2]^4*a[7]^2*
         a[12] + 30*a[1]^2*a[5]*a[7]^2*
         a[12] + 210*a[1]^4*a[5]*a[7]^2*
         a[12] + 660*a[1]^9*a[5]*a[7]^2*
         a[12] + 660*a[1]^2*a[2]^9*a[8]*
         a[12] + 336*a[1]*a[2]^5*a[5]*
         a[8]*a[12] + 33264*a[1]^5*
         a[2]^5*a[5]*a[8]*a[12] + 
        120*a[1]*a[2]*a[5]^2*a[8]*
         a[12] + 840*a[1]^4*a[2]*a[5]^2*
         a[8]*a[12] + 5940*a[1]^8*a[2]*
         a[5]^2*a[8]*a[12] + 
        30*a[2]^4*a[6]*a[8]*a[12] + 
        840*a[1]^2*a[2]^4*a[6]*a[8]*
         a[12] + 27720*a[1]^6*a[2]^4*
         a[6]*a[8]*a[12] + 60*a[1]^2*
         a[5]*a[6]*a[8]*a[12] + 
        120*a[1]^3*a[5]*a[6]*a[8]*
         a[12] + 336*a[1]^5*a[5]*a[6]*
         a[8]*a[12] + 1320*a[1]^9*a[5]*
         a[6]*a[8]*a[12] + 420*a[1]^2*
         a[2]^3*a[7]*a[8]*a[12] + 
        1120*a[1]^3*a[2]^3*a[7]*a[8]*
         a[12] + 15840*a[1]^7*a[2]^3*
         a[7]*a[8]*a[12] + 840*a[1]^4*
         a[2]^2*a[8]^2*a[12] + 
        2970*a[1]^8*a[2]^2*a[8]^2*
         a[12] + 9*a[2]^8*a[9]*a[12] + 
        1980*a[1]^3*a[2]^8*a[9]*a[12] + 
        2520*a[1]^3*a[2]^4*a[5]*a[9]*
         a[12] + 27720*a[1]^6*a[2]^4*
         a[5]*a[9]*a[12] + 60*a[1]^2*
         a[5]^2*a[9]*a[12] + 252*a[1]^6*
         a[5]^2*a[9]*a[12] + 660*a[1]^9*
         a[5]^2*a[9]*a[12] + 
        120*a[1]*a[2]^3*a[6]*a[9]*
         a[12] + 2520*a[1]^4*a[2]^3*a[6]*
         a[9]*a[12] + 15840*a[1]^7*
         a[2]^3*a[6]*a[9]*a[12] + 
        420*a[1]^3*a[2]^2*a[7]*a[9]*
         a[12] + 1512*a[1]^5*a[2]^2*a[7]*
         a[9]*a[12] + 5940*a[1]^8*a[2]^2*
         a[7]*a[9]*a[12] + 336*a[1]^5*
         a[2]*a[8]*a[9]*a[12] + 
        504*a[1]^6*a[2]*a[8]*a[9]*
         a[12] + 1320*a[1]^9*a[2]*a[8]*
         a[9]*a[12] + 72*a[1]^7*a[9]^2*
         a[12] + 66*a[1]^10*a[9]^2*
         a[12] + 360*a[1]^2*a[2]^7*a[10]*
         a[12] + 3960*a[1]^4*a[2]^7*
         a[10]*a[12] + 20*a[2]^3*a[5]*
         a[10]*a[12] + 5040*a[1]^5*
         a[2]^3*a[5]*a[10]*a[12] + 
        15840*a[1]^7*a[2]^3*a[5]*a[10]*
         a[12] + 180*a[1]^2*a[2]^2*a[6]*
         a[10]*a[12] + 2520*a[1]^6*
         a[2]^2*a[6]*a[10]*a[12] + 
        5940*a[1]^8*a[2]^2*a[6]*a[10]*
         a[12] + 210*a[1]^4*a[2]*a[7]*
         a[10]*a[12] + 720*a[1]^7*a[2]*
         a[7]*a[10]*a[12] + 1320*a[1]^9*
         a[2]*a[7]*a[10]*a[12] + 
        56*a[1]^6*a[8]*a[10]*a[12] + 
        90*a[1]^8*a[8]*a[10]*a[12] + 
        132*a[1]^10*a[8]*a[10]*a[12] + 
        2310*a[1]^4*a[2]^6*a[11]*a[12] + 
        5544*a[1]^5*a[2]^6*a[11]*a[12] + 
        60*a[1]*a[2]^2*a[5]*a[11]*
         a[12] + 3960*a[1]^7*a[2]^2*a[5]*
         a[11]*a[12] + 5940*a[1]^8*
         a[2]^2*a[5]*a[11]*a[12] + 
        120*a[1]^3*a[2]*a[6]*a[11]*
         a[12] + 990*a[1]^8*a[2]*a[6]*
         a[11]*a[12] + 1320*a[1]^9*a[2]*
         a[6]*a[11]*a[12] + 42*a[1]^5*
         a[7]*a[11]*a[12] + 110*a[1]^9*
         a[7]*a[11]*a[12] + 132*a[1]^10*
         a[7]*a[11]*a[12] + 5544*a[1]^6*
         a[2]^5*a[12]^2 + 30*a[1]^2*a[2]*
         a[5]*a[12]^2 + 1320*a[1]^9*a[2]*
         a[5]*a[12]^2 + 15*a[1]^4*a[6]*
         a[12]^2 + 132*a[1]^10*a[6]*
         a[12]^2 + 45*a[3]^8*
         (a[2]^2*a[10] + 11*a[1]^2*a[2]*
           a[11] + 11*a[1]^4*a[12]) + 
        156*a[1]*a[2]^11*a[5]*a[13] + 
        25740*a[1]^4*a[2]^7*a[5]^2*
         a[13] + 34320*a[1]^7*a[2]^3*
         a[5]^3*a[13] + 858*a[1]^2*
         a[2]^10*a[6]*a[13] + 
        72072*a[1]^5*a[2]^6*a[5]*a[6]*
         a[13] + 60*a[2]^2*a[5]^2*a[6]*
         a[13] + 180*a[1]*a[2]^2*a[5]^2*
         a[6]*a[13] + 38610*a[1]^8*
         a[2]^2*a[5]^2*a[6]*a[13] + 
        36036*a[1]^6*a[2]^5*a[6]^2*
         a[13] + 60*a[1]*a[2]*a[5]*
         a[6]^2*a[13] + 360*a[1]^2*a[2]*
         a[5]*a[6]^2*a[13] + 8580*a[1]^9*
         a[2]*a[5]*a[6]^2*a[13] + 
        60*a[1]^3*a[6]^3*a[13] + 
        286*a[1]^10*a[6]^3*a[13] + 
        2860*a[1]^3*a[2]^9*a[7]*a[13] + 
        42*a[2]^5*a[5]*a[7]*a[13] + 
        72072*a[1]^6*a[2]^5*a[5]*a[7]*
         a[13] + 120*a[1]*a[2]*a[5]^2*
         a[7]*a[13] + 420*a[1]^3*a[2]*
         a[5]^2*a[7]*a[13] + 8580*a[1]^9*
         a[2]*a[5]^2*a[7]*a[13] + 
        30*a[2]^4*a[6]*a[7]*a[13] + 
        210*a[1]*a[2]^4*a[6]*a[7]*
         a[13] + 51480*a[1]^7*a[2]^4*
         a[6]*a[7]*a[13] + 60*a[1]^2*
         a[5]*a[6]*a[7]*a[13] + 
        120*a[1]^3*a[5]*a[6]*a[7]*
         a[13] + 210*a[1]^4*a[5]*a[6]*
         a[7]*a[13] + 1716*a[1]^10*a[5]*
         a[6]*a[7]*a[13] + 420*a[1]^2*
         a[2]^3*a[7]^2*a[13] + 
        12870*a[1]^8*a[2]^3*a[7]^2*
         a[13] + 6435*a[1]^4*a[2]^8*a[8]*
         a[13] + 840*a[1]^2*a[2]^4*a[5]*
         a[8]*a[13] + 51480*a[1]^7*
         a[2]^4*a[5]*a[8]*a[13] + 
        60*a[1]^2*a[5]^2*a[8]*a[13] + 
        168*a[1]^5*a[5]^2*a[8]*a[13] + 
        858*a[1]^10*a[5]^2*a[8]*a[13] + 
        120*a[1]*a[2]^3*a[6]*a[8]*
         a[13] + 1120*a[1]^3*a[2]^3*a[6]*
         a[8]*a[13] + 25740*a[1]^8*
         a[2]^3*a[6]*a[8]*a[13] + 
        420*a[1]^3*a[2]^2*a[7]*a[8]*
         a[13] + 840*a[1]^4*a[2]^2*a[7]*
         a[8]*a[13] + 8580*a[1]^9*a[2]^2*
         a[7]*a[8]*a[13] + 336*a[1]^5*
         a[2]*a[8]^2*a[13] + 858*a[1]^10*
         a[2]*a[8]^2*a[13] + 
        72*a[1]*a[2]^7*a[9]*a[13] + 
        10296*a[1]^5*a[2]^7*a[9]*a[13] + 
        20*a[2]^3*a[5]*a[9]*a[13] + 
        2520*a[1]^4*a[2]^3*a[5]*a[9]*
         a[13] + 25740*a[1]^8*a[2]^3*
         a[5]*a[9]*a[13] + 180*a[1]^2*
         a[2]^2*a[6]*a[9]*a[13] + 
        1512*a[1]^5*a[2]^2*a[6]*a[9]*
         a[13] + 8580*a[1]^9*a[2]^2*a[6]*
         a[9]*a[13] + 210*a[1]^4*a[2]*
         a[7]*a[9]*a[13] + 504*a[1]^6*
         a[2]*a[7]*a[9]*a[13] + 
        1716*a[1]^10*a[2]*a[7]*a[9]*
         a[13] + 56*a[1]^6*a[8]*a[9]*
         a[13] + 72*a[1]^7*a[8]*a[9]*
         a[13] + 156*a[1]^11*a[8]*a[9]*
         a[13] + 840*a[1]^3*a[2]^6*a[10]*
         a[13] + 12012*a[1]^6*a[2]^6*
         a[10]*a[13] + 60*a[1]*a[2]^2*
         a[5]*a[10]*a[13] + 2520*a[1]^6*
         a[2]^2*a[5]*a[10]*a[13] + 
        8580*a[1]^9*a[2]^2*a[5]*a[10]*
         a[13] + 120*a[1]^3*a[2]*a[6]*
         a[10]*a[13] + 720*a[1]^7*a[2]*
         a[6]*a[10]*a[13] + 1716*a[1]^10*
         a[2]*a[6]*a[10]*a[13] + 
        42*a[1]^5*a[7]*a[10]*a[13] + 
        90*a[1]^8*a[7]*a[10]*a[13] + 
        156*a[1]^11*a[7]*a[10]*a[13] + 
        2772*a[1]^5*a[2]^5*a[11]*a[13] + 
        10296*a[1]^7*a[2]^5*a[11]*
         a[13] + 60*a[1]^2*a[2]*a[5]*
         a[11]*a[13] + 990*a[1]^8*a[2]*
         a[5]*a[11]*a[13] + 1716*a[1]^10*
         a[2]*a[5]*a[11]*a[13] + 
        30*a[1]^4*a[6]*a[11]*a[13] + 
        110*a[1]^9*a[6]*a[11]*a[13] + 
        156*a[1]^11*a[6]*a[11]*a[13] + 
        3960*a[1]^7*a[2]^4*a[12]*a[13] + 
        6435*a[1]^8*a[2]^4*a[12]*a[13] + 
        20*a[1]^3*a[5]*a[12]*a[13] + 
        132*a[1]^10*a[5]*a[12]*a[13] + 
        156*a[1]^11*a[5]*a[12]*a[13] + 
        2860*a[1]^9*a[2]^3*a[13]^2 + 
        3*a[4]^5*(14*a[1]*a[7]^2 + 
          2*a[6]*a[8] + 56*a[1]^2*a[6]*
           a[8] + 42*a[2]^4*a[9] + 
          168*a[1]^3*a[5]*a[9] + 
          28*a[3]^2*(2*a[2]*a[8] + 
            9*a[1]^2*a[9]) + 840*a[1]^2*
           a[2]^3*a[10] + 2310*a[1]^4*
           a[2]^2*a[11] + 14*a[3]*
           (a[5]*a[7] + 36*a[1]*a[2]^2*
             a[9] + 120*a[1]^3*a[2]*
             a[10] + 66*a[1]^5*a[11]) + 
          14*a[2]*(a[6]*a[7] + 
            8*a[1]*a[5]*a[8] + 
            132*a[1]^6*a[12]) + 
          429*a[1]^8*a[13]) + 
        a[2]^14*a[14] + 4004*a[1]^3*
         a[2]^10*a[5]*a[14] + 
        84084*a[1]^6*a[2]^6*a[5]^2*
         a[14] + 30*a[2]^2*a[5]^3*
         a[14] + 20020*a[1]^9*a[2]^2*
         a[5]^3*a[14] + 10010*a[1]^4*
         a[2]^9*a[6]*a[14] + 
        144144*a[1]^7*a[2]^5*a[5]*a[6]*
         a[14] + 120*a[1]*a[2]*a[5]^2*
         a[6]*a[14] + 180*a[1]^2*a[2]*
         a[5]^2*a[6]*a[14] + 
        12012*a[1]^10*a[2]*a[5]^2*a[6]*
         a[14] + 30*a[2]^4*a[6]^2*
         a[14] + 45045*a[1]^8*a[2]^4*
         a[6]^2*a[14] + 30*a[1]^2*a[5]*
         a[6]^2*a[14] + 120*a[1]^3*a[5]*
         a[6]^2*a[14] + 1092*a[1]^11*
         a[5]*a[6]^2*a[14] + 
        18018*a[1]^5*a[2]^8*a[7]*a[14] + 
        210*a[1]*a[2]^4*a[5]*a[7]*
         a[14] + 90090*a[1]^8*a[2]^4*
         a[5]*a[7]*a[14] + 60*a[1]^2*
         a[5]^2*a[7]*a[14] + 105*a[1]^4*
         a[5]^2*a[7]*a[14] + 
        1092*a[1]^11*a[5]^2*a[7]*a[14] + 
        120*a[1]*a[2]^3*a[6]*a[7]*
         a[14] + 420*a[1]^2*a[2]^3*a[6]*
         a[7]*a[14] + 40040*a[1]^9*
         a[2]^3*a[6]*a[7]*a[14] + 
        420*a[1]^3*a[2]^2*a[7]^2*a[14] + 
        6006*a[1]^10*a[2]^2*a[7]^2*
         a[14] + 8*a[2]^7*a[8]*a[14] + 
        24024*a[1]^6*a[2]^7*a[8]*a[14] + 
        20*a[2]^3*a[5]*a[8]*a[14] + 
        1120*a[1]^3*a[2]^3*a[5]*a[8]*
         a[14] + 40040*a[1]^9*a[2]^3*
         a[5]*a[8]*a[14] + 180*a[1]^2*
         a[2]^2*a[6]*a[8]*a[14] + 
        840*a[1]^4*a[2]^2*a[6]*a[8]*
         a[14] + 12012*a[1]^10*a[2]^2*
         a[6]*a[8]*a[14] + 210*a[1]^4*
         a[2]*a[7]*a[8]*a[14] + 
        336*a[1]^5*a[2]*a[7]*a[8]*
         a[14] + 2184*a[1]^11*a[2]*a[7]*
         a[8]*a[14] + 56*a[1]^6*a[8]^2*
         a[14] + 91*a[1]^12*a[8]^2*
         a[14] + 252*a[1]^2*a[2]^6*a[9]*
         a[14] + 24024*a[1]^7*a[2]^6*
         a[9]*a[14] + 60*a[1]*a[2]^2*
         a[5]*a[9]*a[14] + 1512*a[1]^5*
         a[2]^2*a[5]*a[9]*a[14] + 
        12012*a[1]^10*a[2]^2*a[5]*a[9]*
         a[14] + 120*a[1]^3*a[2]*a[6]*
         a[9]*a[14] + 504*a[1]^6*a[2]*
         a[6]*a[9]*a[14] + 2184*a[1]^11*
         a[2]*a[6]*a[9]*a[14] + 
        42*a[1]^5*a[7]*a[9]*a[14] + 
        72*a[1]^7*a[7]*a[9]*a[14] + 
        182*a[1]^12*a[7]*a[9]*a[14] + 
        1260*a[1]^4*a[2]^5*a[10]*a[14] + 
        18018*a[1]^8*a[2]^5*a[10]*
         a[14] + 60*a[1]^2*a[2]*a[5]*
         a[10]*a[14] + 720*a[1]^7*a[2]*
         a[5]*a[10]*a[14] + 2184*a[1]^11*
         a[2]*a[5]*a[10]*a[14] + 
        30*a[1]^4*a[6]*a[10]*a[14] + 
        90*a[1]^8*a[6]*a[10]*a[14] + 
        182*a[1]^12*a[6]*a[10]*a[14] + 
        2310*a[1]^6*a[2]^4*a[11]*a[14] + 
        10010*a[1]^9*a[2]^4*a[11]*
         a[14] + 20*a[1]^3*a[5]*a[11]*
         a[14] + 110*a[1]^9*a[5]*a[11]*
         a[14] + 182*a[1]^12*a[5]*a[11]*
         a[14] + 1980*a[1]^8*a[2]^3*
         a[12]*a[14] + 4004*a[1]^10*
         a[2]^3*a[12]*a[14] + 
        858*a[1]^10*a[2]^2*a[13]*a[14] + 
        1092*a[1]^11*a[2]^2*a[13]*
         a[14] + a[2]*a[14]^2 + 
        182*a[1]^12*a[2]*a[14]^2 + 
        8*a[3]^7*(a[7]*a[8] + 
          9*a[2]*a[5]*a[9] + 9*a[1]*a[6]*
           a[9] + 45*a[1]^2*a[5]*a[10] + 
          165*a[1]*a[2]^3*a[11] + 
          990*a[1]^3*a[2]^2*a[12] + 
          1287*a[1]^5*a[2]*a[13] + 
          429*a[1]^7*a[14]) + 
        105*a[1]^2*a[2]^13*a[15] + 
        30030*a[1]^5*a[2]^9*a[5]*a[15] + 
        135135*a[1]^8*a[2]^5*a[5]^2*
         a[15] + 60*a[1]*a[2]*a[5]^3*
         a[15] + 5460*a[1]^11*a[2]*
         a[5]^3*a[15] + 45045*a[1]^6*
         a[2]^8*a[6]*a[15] + 
        30*a[2]^4*a[5]*a[6]*a[15] + 
        150150*a[1]^9*a[2]^4*a[5]*a[6]*
         a[15] + 60*a[1]^2*a[5]^2*a[6]*
         a[15] + 60*a[1]^3*a[5]^2*a[6]*
         a[15] + 1365*a[1]^12*a[5]^2*
         a[6]*a[15] + 120*a[1]*a[2]^3*
         a[6]^2*a[15] + 30030*a[1]^10*
         a[2]^3*a[6]^2*a[15] + 
        51480*a[1]^7*a[2]^7*a[7]*a[15] + 
        20*a[2]^3*a[5]*a[7]*a[15] + 
        420*a[1]^2*a[2]^3*a[5]*a[7]*
         a[15] + 60060*a[1]^10*a[2]^3*
         a[5]*a[7]*a[15] + 180*a[1]^2*
         a[2]^2*a[6]*a[7]*a[15] + 
        420*a[1]^3*a[2]^2*a[6]*a[7]*
         a[15] + 16380*a[1]^11*a[2]^2*
         a[6]*a[7]*a[15] + 210*a[1]^4*
         a[2]*a[7]^2*a[15] + 
        1365*a[1]^12*a[2]*a[7]^2*a[15] + 
        56*a[1]*a[2]^6*a[8]*a[15] + 
        45045*a[1]^8*a[2]^6*a[8]*a[15] + 
        60*a[1]*a[2]^2*a[5]*a[8]*a[15] + 
        840*a[1]^4*a[2]^2*a[5]*a[8]*
         a[15] + 16380*a[1]^11*a[2]^2*
         a[5]*a[8]*a[15] + 120*a[1]^3*
         a[2]*a[6]*a[8]*a[15] + 
        336*a[1]^5*a[2]*a[6]*a[8]*
         a[15] + 2730*a[1]^12*a[2]*a[6]*
         a[8]*a[15] + 42*a[1]^5*a[7]*
         a[8]*a[15] + 56*a[1]^6*a[7]*
         a[8]*a[15] + 210*a[1]^13*a[7]*
         a[8]*a[15] + 504*a[1]^3*a[2]^5*
         a[9]*a[15] + 30030*a[1]^9*
         a[2]^5*a[9]*a[15] + 
        60*a[1]^2*a[2]*a[5]*a[9]*a[15] + 
        504*a[1]^6*a[2]*a[5]*a[9]*
         a[15] + 2730*a[1]^12*a[2]*a[5]*
         a[9]*a[15] + 30*a[1]^4*a[6]*
         a[9]*a[15] + 72*a[1]^7*a[6]*
         a[9]*a[15] + 210*a[1]^13*a[6]*
         a[9]*a[15] + 1260*a[1]^5*a[2]^4*
         a[10]*a[15] + 15015*a[1]^10*
         a[2]^4*a[10]*a[15] + 
        20*a[1]^3*a[5]*a[10]*a[15] + 
        90*a[1]^8*a[5]*a[10]*a[15] + 
        210*a[1]^13*a[5]*a[10]*a[15] + 
        1320*a[1]^7*a[2]^3*a[11]*a[15] + 
        5460*a[1]^11*a[2]^3*a[11]*
         a[15] + 660*a[1]^9*a[2]^2*a[12]*
         a[15] + 1365*a[1]^12*a[2]^2*
         a[12]*a[15] + 2*a[2]*a[13]*
         a[15] + 156*a[1]^11*a[2]*a[13]*
         a[15] + 210*a[1]^13*a[2]*a[13]*
         a[15] + 14*a[1]^13*a[14]*
         a[15] + 15*a[1]^14*a[14]*
         a[15] + 1820*a[1]^4*a[2]^12*
         a[16] + 102960*a[1]^7*a[2]^8*
         a[5]*a[16] + 120120*a[1]^10*
         a[2]^4*a[5]^2*a[16] + 
        30*a[1]^2*a[5]^3*a[16] + 
        560*a[1]^13*a[5]^3*a[16] + 
        102960*a[1]^8*a[2]^7*a[6]*
         a[16] + 20*a[2]^3*a[5]*a[6]*
         a[16] + 120*a[1]*a[2]^3*a[5]*
         a[6]*a[16] + 87360*a[1]^11*
         a[2]^3*a[5]*a[6]*a[16] + 
        180*a[1]^2*a[2]^2*a[6]^2*a[16] + 
        10920*a[1]^12*a[2]^2*a[6]^2*
         a[16] + 7*a[2]^6*a[7]*a[16] + 
        80080*a[1]^9*a[2]^6*a[7]*a[16] + 
        60*a[1]*a[2]^2*a[5]*a[7]*a[16] + 
        420*a[1]^3*a[2]^2*a[5]*a[7]*
         a[16] + 21840*a[1]^12*a[2]^2*
         a[5]*a[7]*a[16] + 120*a[1]^3*
         a[2]*a[6]*a[7]*a[16] + 
        210*a[1]^4*a[2]*a[6]*a[7]*
         a[16] + 3360*a[1]^13*a[2]*a[6]*
         a[7]*a[16] + 42*a[1]^5*a[7]^2*
         a[16] + 120*a[1]^14*a[7]^2*
         a[16] + 168*a[1]^2*a[2]^5*a[8]*
         a[16] + 48048*a[1]^10*a[2]^5*
         a[8]*a[16] + 60*a[1]^2*a[2]*
         a[5]*a[8]*a[16] + 336*a[1]^5*
         a[2]*a[5]*a[8]*a[16] + 
        3360*a[1]^13*a[2]*a[5]*a[8]*
         a[16] + 30*a[1]^4*a[6]*a[8]*
         a[16] + 56*a[1]^6*a[6]*a[8]*
         a[16] + 240*a[1]^14*a[6]*a[8]*
         a[16] + 630*a[1]^4*a[2]^4*a[9]*
         a[16] + 21840*a[1]^11*a[2]^4*
         a[9]*a[16] + 20*a[1]^3*a[5]*
         a[9]*a[16] + 72*a[1]^7*a[5]*
         a[9]*a[16] + 240*a[1]^14*a[5]*
         a[9]*a[16] + 840*a[1]^6*a[2]^3*
         a[10]*a[16] + 7280*a[1]^12*
         a[2]^3*a[10]*a[16] + 
        495*a[1]^8*a[2]^2*a[11]*a[16] + 
        1680*a[1]^13*a[2]^2*a[11]*
         a[16] + 2*a[2]*a[12]*a[16] + 
        132*a[1]^10*a[2]*a[12]*a[16] + 
        240*a[1]^14*a[2]*a[12]*a[16] + 
        13*a[1]^12*a[13]*a[16] + 
        16*a[1]^15*a[13]*a[16] + 
        7*a[3]^6*(4*a[5]^2*a[8] + 
          8*a[1]*a[8]*a[9] + 36*a[1]^2*
           a[8]*a[9] + a[7]*a[10] + 
          120*a[1]^3*a[7]*a[10] + 
          66*a[2]^5*a[11] + 330*a[1]^4*
           a[6]*a[11] + 1980*a[1]^2*
           a[2]^4*a[12] + 24*a[5]*
           (15*a[1]*a[2]^2*a[10] + 
            55*a[1]^3*a[2]*a[11] + 
            33*a[1]^5*a[12]) + 
          8580*a[1]^4*a[2]^3*a[13] + 
          12*a[2]^2*(3*a[6]*a[9] + 
            1001*a[1]^6*a[14]) + 
          a[2]*(8*a[8]^2 + 9*a[1]*
             (8*a[7]*a[9] + 40*a[1]*a[6]*
             a[10] + 715*a[1]^7*a[
             15])) + 1144*a[1]^10*
           a[16]) + a[4]^4*(15*a[6]^3 + 
          70*a[3]^4*a[8] + 840*a[1]*
           a[3]^2*a[5]*a[8] + 420*a[1]^2*
           a[5]^2*a[8] + 210*a[1]*a[3]*
           a[7]*a[8] + 840*a[1]^2*a[3]*
           a[7]*a[8] + 280*a[1]^3*a[8]*
           a[9] + 630*a[1]^4*a[8]*a[9] + 
          210*a[2]^6*a[10] + 4200*a[1]^3*
           a[3]^3*a[10] + 6300*a[1]^4*
           a[3]*a[5]*a[10] + 105*a[1]^2*
           a[7]*a[10] + 1260*a[1]^5*a[7]*
           a[10] + 6930*a[1]^2*a[2]^5*
           a[11] + 5*a[6]*(21*a[3]^2*
             a[7] + 6*(1 + 7*a[1])*a[5]*
             a[7] + 56*a[2]^3*a[8] + 
            756*a[1]^2*a[2]^2*a[9] + 
            6*a[3]*(56*a[1]*a[2]*a[8] + 
             a[9] + 84*a[1]^3*a[9]) + 
            6*a[2]*a[10] + 1260*a[1]^4*
             a[2]*a[10] + 6*a[1]*a[11] + 
            462*a[1]^6*a[11]) + 
          13860*a[1]^6*a[3]^2*a[12] + 
          5*a[5]*a[12] + 3960*a[1]^7*
           a[5]*a[12] + 3150*a[2]^4*
           (2*a[1]*a[3]*a[10] + 
            11*a[1]^4*a[12]) + 
          420*a[2]^3*(3*a[3]^2*a[9] + 
            6*a[1]*a[5]*a[9] + 
            110*a[1]^3*a[3]*a[11] + 
            143*a[1]^6*a[13]) + 
          10010*a[1]^9*a[3]*a[14] + 
          105*a[2]^2*((1 + 8*a[1])*a[7]*
             a[8] + 180*a[1]^2*a[3]^2*
             a[10] + 120*a[1]^3*a[5]*
             a[10] + 8*a[3]*(a[5]*a[8] + 
             99*a[1]^5*a[12]) + 
            429*a[1]^8*a[14]) + 
          15*a[2]*(7*a[5]^2*a[7] + 
            168*a[1]*a[3]^3*a[9] + 
            2310*a[1]^4*a[3]^2*a[11] + 
            84*a[5]*(6*a[1]^2*a[3]*a[
             9] + 11*a[1]^5*a[11]) + 
            2*a[3]*(7*a[7]^2 + 1716*a[1]^
             7*a[13]) + 7*a[1]*
             (8*a[1]*a[8]^2 + 2*a[7]*a[
             9] + 24*a[1]^2*a[7]*a[9] + 
             143*a[1]^9*a[15])) + 
          4*a[16] + 1820*a[1]^12*
           a[16]) + 12376*a[1]^6*a[2]^11*
         a[17] + 194480*a[1]^9*a[2]^7*
         a[5]*a[17] + 20*a[2]^3*a[5]^2*
         a[17] + 61880*a[1]^12*a[2]^3*
         a[5]^2*a[17] + 136136*a[1]^10*
         a[2]^6*a[6]*a[17] + 
        60*a[1]*a[2]^2*a[5]*a[6]*a[17] + 
        180*a[1]^2*a[2]^2*a[5]*a[6]*
         a[17] + 28560*a[1]^13*a[2]^2*
         a[5]*a[6]*a[17] + 120*a[1]^3*
         a[2]*a[6]^2*a[17] + 
        2040*a[1]^14*a[2]*a[6]^2*a[17] + 
        42*a[1]*a[2]^5*a[7]*a[17] + 
        74256*a[1]^11*a[2]^5*a[7]*
         a[17] + 60*a[1]^2*a[2]*a[5]*
         a[7]*a[17] + 210*a[1]^4*a[2]*
         a[5]*a[7]*a[17] + 4080*a[1]^14*
         a[2]*a[5]*a[7]*a[17] + 
        30*a[1]^4*a[6]*a[7]*a[17] + 
        42*a[1]^5*a[6]*a[7]*a[17] + 
        272*a[1]^15*a[6]*a[7]*a[17] + 
        280*a[1]^3*a[2]^4*a[8]*a[17] + 
        30940*a[1]^12*a[2]^4*a[8]*
         a[17] + 20*a[1]^3*a[5]*a[8]*
         a[17] + 56*a[1]^6*a[5]*a[8]*
         a[17] + 272*a[1]^15*a[5]*a[8]*
         a[17] + 504*a[1]^5*a[2]^3*a[9]*
         a[17] + 9520*a[1]^13*a[2]^3*
         a[9]*a[17] + 360*a[1]^7*a[2]^2*
         a[10]*a[17] + 2040*a[1]^14*
         a[2]^2*a[10]*a[17] + 
        2*a[2]*a[11]*a[17] + 110*a[1]^9*
         a[2]*a[11]*a[17] + 272*a[1]^15*
         a[2]*a[11]*a[17] + 12*a[1]^11*
         a[12]*a[17] + 17*a[1]^16*a[12]*
         a[17] + 43758*a[1]^8*a[2]^10*
         a[18] + 222768*a[1]^11*a[2]^6*
         a[5]*a[18] + 60*a[1]*a[2]^2*
         a[5]^2*a[18] + 18360*a[1]^14*
         a[2]^2*a[5]^2*a[18] + 
        6*a[2]^5*a[6]*a[18] + 
        111384*a[1]^12*a[2]^5*a[6]*
         a[18] + 60*a[1]^2*a[2]*a[5]*
         a[6]*a[18] + 120*a[1]^3*a[2]*
         a[5]*a[6]*a[18] + 4896*a[1]^15*
         a[2]*a[5]*a[6]*a[18] + 
        30*a[1]^4*a[6]^2*a[18] + 
        153*a[1]^16*a[6]^2*a[18] + 
        105*a[1]^2*a[2]^4*a[7]*a[18] + 
        42840*a[1]^13*a[2]^4*a[7]*
         a[18] + 20*a[1]^3*a[5]*a[7]*
         a[18] + 42*a[1]^5*a[5]*a[7]*
         a[18] + 306*a[1]^16*a[5]*a[7]*
         a[18] + 280*a[1]^4*a[2]^3*a[8]*
         a[18] + 12240*a[1]^14*a[2]^3*
         a[8]*a[18] + 252*a[1]^6*a[2]^2*
         a[9]*a[18] + 2448*a[1]^15*
         a[2]^2*a[9]*a[18] + 
        2*a[2]*a[10]*a[18] + 
        90*a[1]^8*a[2]*a[10]*a[18] + 
        306*a[1]^16*a[2]*a[10]*a[18] + 
        11*a[1]^10*a[11]*a[18] + 
        18*a[1]^17*a[11]*a[18] + 
        6*a[3]^5*(28*a[1]*a[6]^2*a[8] + 
          a[6]*(7*a[7]^2 + 252*a[1]^2*
             a[5]*a[9] + 840*a[1]*a[2]^3*
             a[10] + 4620*a[1]^3*a[2]^2*
             a[11] + 56*a[2]*
             (a[5]*a[8] + 99*a[1]^5*a[
             12]) + a[13] + 1716*a[1]^7*
             a[13]) + 7*(12*a[5]^2*
             (3*a[1]*a[2]*a[9] + 
             5*a[1]^3*a[10]) + 132*a[1]*
             a[2]^6*a[12] + 1716*a[1]^3*
             a[2]^5*a[13] + 6006*a[1]^5*
             a[2]^4*a[14] + a[5]*
             ((1 + 8*a[1])*a[7]*a[8] + 
             3*(10*a[2]^4*a[10] + 
             220*a[1]^2*a[2]^3*a[11] + 
             660*a[1]^4*a[2]^2*a[12] + 
             572*a[1]^6*a[2]*a[13] + 
             143*a[1]^8*a[14])) + 
            12*a[2]^3*(a[7]*a[9] + 
             715*a[1]^7*a[15]) + 
            4*a[2]^2*((1 + 9*a[1])*a[8]*
             a[9] + 5*a[1]^2*(9*a[7]*
             a[10] + 286*a[1]^7*
             a[16])) + a[2]*
             (36*a[1]^2*a[9]^2 + 
             8*a[1]*a[8]*a[10] + 
             120*a[1]^3*a[8]*a[10] + 
             a[7]*a[11] + 330*a[1]^4*a[
             7]*a[11] + 1768*a[1]^11*a[
             17]) + a[1]*(12*a[1]^2*a[9]*
             a[10] + 30*a[1]^3*a[9]*a[
             10] + 4*a[1]*a[8]*a[11] + 
             66*a[1]^4*a[8]*a[11] + 
             a[7]*a[12] + 132*a[1]^5*a[
             7]*a[12] + 204*a[1]^12*a[
             18]))) + 92378*a[1]^10*
         a[2]^9*a[19] + 162792*a[1]^13*
         a[2]^5*a[5]*a[19] + 
        60*a[1]^2*a[2]*a[5]^2*a[19] + 
        2907*a[1]^16*a[2]*a[5]^2*a[19] + 
        30*a[1]*a[2]^4*a[6]*a[19] + 
        58140*a[1]^14*a[2]^4*a[6]*
         a[19] + 20*a[1]^3*a[5]*a[6]*
         a[19] + 30*a[1]^4*a[5]*a[6]*
         a[19] + 342*a[1]^17*a[5]*a[6]*
         a[19] + 140*a[1]^3*a[2]^3*a[7]*
         a[19] + 15504*a[1]^15*a[2]^3*
         a[7]*a[19] + 168*a[1]^5*a[2]^2*
         a[8]*a[19] + 2907*a[1]^16*
         a[2]^2*a[8]*a[19] + 2*a[2]*a[9]*
         a[19] + 72*a[1]^7*a[2]*a[9]*
         a[19] + 342*a[1]^17*a[2]*a[9]*
         a[19] + 10*a[1]^9*a[10]*a[19] + 
        19*a[1]^18*a[10]*a[19] + 
        a[4]^3*(140*a[1]*a[5]^3*a[7] + 
          120*a[3]*a[6]^2*a[7] + 
          420*a[1]*a[3]*a[6]^2*a[7] + 
          140*a[3]^3*a[7]^2 + 210*a[1]^2*
           a[7]^3 + 1120*a[1]*a[3]^3*
           a[6]*a[8] + 120*a[1]*a[6]*
           a[7]*a[8] + 420*a[1]^2*a[6]*
           a[7]*a[8] + 1120*a[1]^3*a[6]*
           a[7]*a[8] + 1680*a[1]^2*
           a[3]^2*a[8]^2 + 504*a[1]*
           a[3]^5*a[9] + 120*a[1]*a[6]^2*
           a[9] + 1260*a[1]^4*a[6]^2*
           a[9] + 420*a[1]*a[3]^2*a[7]*
           a[9] + 5040*a[1]^3*a[3]^2*
           a[7]*a[9] + 2520*a[1]^4*a[3]*
           a[9]^2 + 60*a[3]^2*a[6]*
           a[10] + 12600*a[1]^4*a[3]^2*
           a[6]*a[10] + 1120*a[1]^3*a[3]*
           a[8]*a[10] + 5040*a[1]^5*a[3]*
           a[8]*a[10] + 6*a[10]^2 + 
          840*a[1]^6*a[10]^2 + 
          165*a[2]^8*a[11] + 
          11550*a[1]^4*a[3]^4*a[11] + 
          420*a[1]^2*a[3]*a[7]*a[11] + 
          9240*a[1]^6*a[3]*a[7]*a[11] + 
          12*a[9]*a[11] + 504*a[1]^5*
           a[9]*a[11] + 1320*a[1]^7*a[9]*
           a[11] + 10*a[5]^2*(6*a[6]^2 + 
            21*a[3]^2*a[7] + 168*a[3]*
             (2*a[1]*a[2]*a[8] + 
             3*a[1]^3*a[9]) + 
            2*(28*a[2]^3*a[8] + 378*a[1]^
             2*a[2]^2*a[9] + 630*a[1]^4*
             a[2]*a[10] + a[11] + 
             231*a[1]^6*a[11])) + 
          7920*a[1]^2*a[2]^7*a[12] + 
          120*a[1]*a[3]*a[6]*a[12] + 
          15840*a[1]^7*a[3]*a[6]*a[12] + 
          12*a[8]*a[12] + 280*a[1]^4*
           a[8]*a[12] + 1980*a[1]^8*a[8]*
           a[12] + 34320*a[1]^7*a[3]^3*
           a[13] + 12*a[7]*a[13] + 
          140*a[1]^3*a[7]*a[13] + 
          2860*a[1]^9*a[7]*a[13] + 
          4620*a[2]^6*(2*a[1]*a[3]*
             a[11] + 13*a[1]^4*a[13]) + 
          12*a[6]*a[14] + 60*a[1]^2*a[6]*
           a[14] + 4004*a[1]^10*a[6]*
           a[14] + 168*a[2]^5*
           (3*a[6]*a[9] + 15*a[3]^2*
             a[10] + 660*a[1]^3*a[3]*
             a[12] + 1001*a[1]^6*
             a[14]) + 30030*a[1]^10*
           a[3]^2*a[15] + 2*a[5]*
           (60*a[3]*a[6]*a[8] + 
            5*a[8]^2 + 560*a[1]^3*
             a[8]^2 + 10*a[7]*a[9] + 
            1260*a[1]^4*a[7]*a[9] + 
            210*a[1]^2*(8*a[3]*a[6]*a[
             8] + 12*a[3]^3*a[9] + 
             a[7]*a[9]) + 2520*a[1]*
             a[2]^5*a[10] + 10*a[6]*
             a[10] + 420*a[2]^4*
             (3*a[3]*a[9] + 55*a[1]^3*a[
             11]) + 1260*a[1]^5*
             (2*a[6]*a[10] + 11*a[3]^2*a[
             11]) + 5040*a[2]^3*
             (5*a[1]^2*a[3]*a[10] + 
             11*a[1]^5*a[12]) + 
            10*a[3]*a[13] + 12870*a[1]^8*
             a[3]*a[13] + 30*a[2]^2*
             (7*a[7]^2 + 2*a[1]*(28*a[6]*
             a[8] + 126*a[3]^2*a[9] + 
             1155*a[1]^3*a[3]*a[11] + 
             858*a[1]^6*a[13])) + 
            10*a[2]*(56*a[3]^3*a[8] + 
             42*a[1]*a[7]*a[8] + 
             168*a[1]^2*a[7]*a[8] + 
             6*a[6]*a[9] + 504*a[1]^3*a[
             6]*a[9] + 2520*a[1]^3*a[3]^
             2*a[10] + 42*a[3]*(a[6]*
             a[7] + 132*a[1]^6*a[12]) + 
             a[14] + 2002*a[1]^9*a[
             14]) + 6*a[15] + 
            2730*a[1]^11*a[15] + 
            10*a[1]*(42*a[3]*a[7]^2 + 
             6*a[6]*a[10] + a[15])) + 
          35*a[2]^4*(8*a[8]^2 + 
            9*a[1]*(8*a[7]*a[9] + 
             a[1]*(40*a[6]*a[10] + 
             220*a[3]^2*a[11] + 1144*
             a[1]^3*a[3]*a[13] + 715*
             a[1]^6*a[15]))) + 
          140*a[2]^3*(8*a[1]*a[8]*a[9] + 
            36*a[1]^2*a[8]*a[9] + 
            120*a[1]*a[3]^3*a[10] + 
            a[7]*a[10] + 120*a[1]^3*a[7]*
             a[10] + 330*a[1]^4*a[6]*
             a[11] + 1980*a[1]^4*a[3]^2*
             a[12] + 8*a[3]*(a[7]*a[8] + 
             9*a[1]*a[6]*a[9] + 429*a[1]^
             7*a[14]) + 1144*a[1]^10*
             a[16]) + 12*a[3]*a[17] + 
          9520*a[1]^13*a[3]*a[17] + 
          10*a[2]^2*(21*a[6]^2*a[7] + 
            6*a[6]*(28*a[3]^2*a[8] + 
             840*a[1]^3*a[3]*a[10] + 
             (1 + 924*a[1]^6)*a[12]) + 
            14*(3*a[3]*(3*a[3]^3 + a[7])*
             a[9] + 90*a[1]^4*a[8]*a[
             10] + 12*a[1]^2*(9*a[3]*
             a[7]*a[9] + a[8]*a[10]) + 
             198*a[1]^5*a[7]*a[11] + 
             12*a[1]^3*(3*a[9]^2 + 
             55*a[3]^3*a[11]) + 3*a[1]*(
             8*a[3]*a[8]^2 + a[7]*
             a[11]) + 2574*a[1]^6*a[3]^
             2*a[13] + 2145*a[1]^9*a[3]*
             a[15] + 442*a[1]^12*a[
             17])) + 4*a[2]*
           (30*(1 + 14*a[1]^2)*a[6]^2*
             a[8] + 3150*a[1]^2*a[3]^4*
             a[10] + 630*a[1]^4*a[9]*
             a[10] + 1260*a[1]^5*a[9]*
             a[10] + 280*a[1]^3*a[8]*
             a[11] + 2310*a[1]^6*a[8]*
             a[11] + 27720*a[1]^5*a[3]^3*
             a[12] + 105*a[1]^2*a[7]*
             a[12] + 3960*a[1]^7*a[7]*
             a[12] + 15*a[6]*
             ((1 + 14*a[1])*a[7]^2 + 
             252*a[1]^2*a[3]^2*a[9] + 
             2*a[3]*a[11] + 924*a[1]^5*a[
             3]*a[11] + 2*a[1]*a[13] + 
             429*a[1]^8*a[13]) + 
            105*a[3]^2*((1 + 8*a[1])*a[
             7]*a[8] + 429*a[1]^8*a[
             14]) + 210*a[1]*a[3]*
             (4*a[1]*a[8]*a[9] + 
             12*a[1]^2*a[8]*a[9] + 
             a[7]*a[10] + 30*a[1]^3*a[7]*
             a[10] + 104*a[1]^10*a[
             16]) + 3*a[18] + 
            3060*a[1]^14*a[18]) + 
          12*a[1]*a[19] + 969*a[1]^16*
           a[19]) + 125970*a[1]^12*
         a[2]^8*a[20] + 5*a[2]^4*a[5]*
         a[20] + 77520*a[1]^15*a[2]^4*
         a[5]*a[20] + 20*a[1]^3*a[5]^2*
         a[20] + 190*a[1]^18*a[5]^2*
         a[20] + 60*a[1]^2*a[2]^3*a[6]*
         a[20] + 19380*a[1]^16*a[2]^3*
         a[6]*a[20] + 105*a[1]^4*a[2]^2*
         a[7]*a[20] + 3420*a[1]^17*
         a[2]^2*a[7]*a[20] + 2*a[2]*a[8]*
         a[20] + 56*a[1]^6*a[2]*a[8]*
         a[20] + 380*a[1]^18*a[2]*a[8]*
         a[20] + 9*a[1]^8*a[9]*a[20] + 
        20*a[1]^19*a[9]*a[20] + 
        5*a[3]^4*(56*a[1]*a[5]^3*a[8] + 
          42*a[1]*a[7]^2*a[8] + 
          84*a[1]^2*a[7]^2*a[8] + 
          3*a[6]*a[8]^2 + 168*a[1]^2*
           a[6]*a[8]^2 + 6*a[6]*a[7]*
           a[9] + 42*a[1]*a[6]*a[7]*
           a[9] + 504*a[1]^3*a[6]*a[7]*
           a[9] + 6*a[6]^2*a[10] + 
          630*a[1]^4*a[6]^2*a[10] + 
          252*a[1]^5*a[10]*a[11] + 
          462*a[1]^6*a[10]*a[11] + 
          99*a[2]^8*a[12] + 126*a[1]^4*
           a[9]*a[12] + 792*a[1]^7*a[9]*
           a[12] + 21*a[5]^2*
           (a[6]*a[7] + 6*(2*a[2]^3*a[
             9] + 30*a[1]^2*a[2]^2*a[
             10] + 55*a[1]^4*a[2]*a[
             11] + 22*a[1]^6*a[12])) + 
          5148*a[1]^2*a[2]^7*a[13] + 
          56*a[1]^3*a[8]*a[13] + 
          1287*a[1]^8*a[8]*a[13] + 
          42042*a[1]^4*a[2]^6*a[14] + 
          21*a[1]^2*a[7]*a[14] + 
          2002*a[1]^9*a[7]*a[14] + 
          6*a[1]*a[6]*a[15] + 
          3003*a[1]^10*a[6]*a[15] + 
          126*a[2]^5*(2*a[6]*a[10] + 
            1001*a[1]^6*a[15]) + 
          a[5]*(168*a[1]^2*a[8]*a[9] + 
            504*a[1]^3*a[8]*a[9] + 
            42*a[1]*a[7]*a[10] + 
            1260*a[1]^4*a[7]*a[10] + 
            2772*a[1]*a[2]^5*a[11] + 
            6*a[6]*a[11] + 2772*a[1]^5*
             a[6]*a[11] + 27720*a[1]^3*
             a[2]^4*a[12] + 72072*a[1]^5*
             a[2]^3*a[13] + 168*a[2]^2*
             (a[7]*a[8] + 9*a[1]*a[6]*a[
             9] + 429*a[1]^7*a[14]) + 
            42*a[2]*(8*a[1]*a[8]^2 + 
             a[7]*a[9] + 36*a[1]^2*a[7]*
             a[9] + 120*a[1]^3*a[6]*a[
             10] + 715*a[1]^9*a[15]) + 
            a[16] + 4368*a[1]^11*
             a[16]) + 126*a[2]^4*
           (a[8]*a[9] + 5*a[1]*
             (2*a[7]*a[10] + 11*a[1]*a[
             6]*a[11] + 286*a[1]^7*a[
             16])) + 56*a[2]^3*
           (9*a[1]*a[9]^2 + a[8]*a[10] + 
            45*a[1]^2*a[8]*a[10] + 
            165*a[1]^3*a[7]*a[11] + 
            495*a[1]^4*a[6]*a[12] + 
            2431*a[1]^10*a[17]) + 
          21*a[2]^2*(4*a[6]^2*a[8] + 
            36*a[1]^2*a[9]*a[10] + 
            120*a[1]^3*a[9]*a[10] + 
            8*a[1]*a[8]*a[11] + 
            330*a[1]^4*a[8]*a[11] + 
            a[7]*a[12] + 792*a[1]^5*a[7]*
             a[12] + 1716*a[1]^6*a[6]*
             a[13] + 2652*a[1]^12*
             a[18]) + 3*a[2]*(7*a[7]^3 + 
            2*a[7]*(7*(1 + 8*a[1])*a[6]*
             a[8] + a[1]*(7 + 1716*
             a[1]^6)*a[13]) + 
            2*(210*a[1]^4*a[10]^2 + 
             84*a[1]^3*a[9]*a[11] + 
             462*a[1]^5*a[9]*a[11] + 
             924*a[1]^6*a[8]*a[12] + 
             14*a[1]^2*(9*a[6]^2*a[9] + 
             2*a[8]*a[12]) + a[6]*a[
             14] + 3003*a[1]^8*a[6]*a[
             14] + 1938*a[1]^14*a[
             19])) + 969*a[1]^16*
           a[20]) + 116280*a[1]^14*
         a[2]^7*a[21] + 20*a[1]*a[2]^3*
         a[5]*a[21] + 23940*a[1]^17*
         a[2]^3*a[5]*a[21] + 
        60*a[1]^3*a[2]^2*a[6]*a[21] + 
        3990*a[1]^18*a[2]^2*a[6]*a[21] + 
        2*a[2]*a[7]*a[21] + 42*a[1]^5*
         a[2]*a[7]*a[21] + 420*a[1]^19*
         a[2]*a[7]*a[21] + 8*a[1]^7*a[8]*
         a[21] + 21*a[1]^20*a[8]*a[21] + 
        74613*a[1]^16*a[2]^6*a[22] + 
        30*a[1]^2*a[2]^2*a[5]*a[22] + 
        4620*a[1]^19*a[2]^2*a[5]*a[22] + 
        2*a[2]*a[6]*a[22] + 30*a[1]^4*
         a[2]*a[6]*a[22] + 462*a[1]^20*
         a[2]*a[6]*a[22] + 7*a[1]^6*a[7]*
         a[22] + 22*a[1]^21*a[7]*a[22] + 
        a[3]^3*(20*(3 + 7*a[1])*a[6]^3*
           a[7] + 420*a[1]*a[5]^2*a[7]*
           a[8] + 1680*a[1]^2*a[5]^2*
           a[7]*a[8] + 560*a[1]^3*
           a[8]^3 + 420*a[1]^2*a[7]*a[8]*
           a[9] + 1120*a[1]^3*a[7]*a[8]*
           a[9] + 2520*a[1]^4*a[7]*a[8]*
           a[9] + 4200*a[1]^4*a[5]^3*
           a[10] + 420*a[1]^2*a[7]^2*
           a[10] + 2520*a[1]^5*a[7]^2*
           a[10] + 20*a[5]*a[9]*a[10] + 
          2520*a[1]^4*a[5]*a[9]*a[10] + 
          5040*a[1]^5*a[5]*a[9]*a[10] + 
          20*a[5]*a[8]*a[11] + 
          1120*a[1]^3*a[5]*a[8]*a[11] + 
          9240*a[1]^6*a[5]*a[8]*a[11] + 
          20*a[5]*a[7]*a[12] + 
          420*a[1]^2*a[5]*a[7]*a[12] + 
          15840*a[1]^7*a[5]*a[7]*a[12] + 
          1320*a[1]^7*a[11]*a[12] + 
          1980*a[1]^8*a[11]*a[12] + 
          120*a[6]^2*((1 + 14*a[1]^2)*
             a[5]*a[8] + a[1]*
             (1 + 66*a[1]^6)*a[12]) + 
          2860*a[1]*a[2]^9*a[13] + 
          840*a[1]^6*a[10]*a[13] + 
          2860*a[1]^9*a[10]*a[13] + 
          60060*a[1]^3*a[2]^8*a[14] + 
          20*a[5]^2*a[14] + 20020*a[1]^9*
           a[5]^2*a[14] + 504*a[1]^5*
           a[9]*a[14] + 4004*a[1]^10*
           a[9]*a[14] + 280*a[1]^4*a[8]*
           a[15] + 5460*a[1]^11*a[8]*
           a[15] + 1320*a[2]^7*
           (a[5]*a[11] + 273*a[1]^5*
             a[15]) + 140*a[1]^3*a[7]*
           a[16] + 7280*a[1]^12*a[7]*
           a[16] + 840*a[2]^6*
           (a[7]*a[10] + 11*a[1]*
             (a[6]*a[11] + 6*a[1]*a[5]*a[
             12] + 104*a[1]^6*a[16])) + 
          20*a[6]*(3*(1 + 84*a[1]^3)*
             a[5]^2*a[9] + a[5]*
             ((3 + 42*a[1])*a[7]^2 + 
             (1 + 6*a[1] + 1287*a[1]^8)*
             a[13]) + a[1]*
             (3*(1 + 42*a[1]^3)*a[9]^2 + 
             2*(3 + 28*a[1]^2 + 126*
             a[1]^4)*a[8]*a[10] + 
             6*a[7]*a[11] + 21*a[1]*a[7]*
             a[11] + 462*a[1]^5*a[7]*a[
             11] + 3*a[1]*a[17] + 
             476*a[1]^12*a[17])) + 
          56*a[2]^5*(9*a[9]^2 + 
            5*a[1]*(18*a[8]*a[10] + 
             11*a[1]*(9*a[7]*a[11] + 
             36*a[1]*a[6]*a[12] + 
             117*a[1]^2*a[5]*a[13] + 
             442*a[1]^7*a[17]))) + 
          20*a[1]*a[5]*a[18] + 
          12240*a[1]^14*a[5]*a[18] + 
          280*a[2]^4*(45*a[1]*a[5]^2*
             a[10] + 9*a[1]*a[9]*a[10] + 
            45*a[1]^2*a[9]*a[10] + 
            a[8]*a[11] + 165*a[1]^3*a[8]*
             a[11] + 495*a[1]^4*a[7]*
             a[12] + 1287*a[1]^5*a[6]*
             a[13] + a[5]*(9*a[6]*a[9] + 
             3003*a[1]^6*a[14]) + 
            3978*a[1]^11*a[18]) + 
          140*a[2]^3*(36*a[1]*a[6]^2*
             a[9] + 120*a[1]^3*a[10]^2 + 
            660*a[1]^3*a[5]^2*a[11] + 
            36*a[1]^2*a[9]*a[11] + 
            330*a[1]^4*a[9]*a[11] + 
            8*a[1]*a[8]*a[12] + 
            792*a[1]^5*a[8]*a[12] + 
            a[7]*a[13] + 1716*a[1]^6*
             a[7]*a[13] + 8*a[6]*
             (a[7]*a[8] + 45*a[1]^2*a[5]*
             a[10] + 429*a[1]^7*a[14]) + 
            a[5]*(8*a[8]^2 + 72*a[1]*a[
             7]*a[9] + 6435*a[1]^8*a[
             15]) + 3876*a[1]^13*
             a[19]) + 20*a[2]^2*
           (28*a[5]^3*a[8] + 8316*a[1]^5*
             a[5]^2*a[12] + 21*a[5]*
             (8*a[1]*a[8]*a[9] + 
             36*a[1]^2*a[8]*a[9] + 
             a[7]*a[10] + 120*a[1]^3*a[
             7]*a[10] + 330*a[1]^4*a[6]*
             a[11] + 1144*a[1]^10*a[
             16]) + 3*(7*(1 + 4*a[1])*
             a[7]^2*a[8] + 56*a[1]*a[6]*
             a[8]^2 + 210*a[1]^4*a[10]*a[
             11] + 462*a[1]^5*a[10]*a[
             11] + 924*a[1]^6*a[9]*a[
             12] + 84*a[1]^3*(5*a[6]^2*
             a[10] + a[9]*a[12]) + 
             28*a[1]^2*a[8]*a[13] + 
             1716*a[1]^7*a[8]*a[13] + 
             7*a[7]*((1 + 36*a[1]^2)*
             a[6]*a[9] + a[1]*(1 + 
             429*a[1]^7)*a[14]) + 
             a[6]*a[15] + 5005*a[1]^9*a[
             6]*a[15] + 2584*a[1]^15*a[
             20])) + 20*a[2]*
           (252*a[1]^2*a[5]^3*a[9] + 
            462*a[1]^6*a[11]^2 + 
            6*a[6]*(a[8]*a[9] + a[7]*a[
             10] + a[6]*a[11]) + 
            792*a[1]^7*a[10]*a[12] + 
            126*a[1]^5*(11*a[6]^2*a[
             11] + 2*a[10]*a[12]) + 
            1287*a[1]^8*a[9]*a[13] + 
            3*a[5]^2*(7*a[7]^2 + 
             56*a[1]*a[6]*a[8] + 
             1716*a[1]^7*a[13]) + 
            126*a[1]^4*(10*a[6]*a[7]*a[
             10] + a[9]*a[13]) + 
            2002*a[1]^9*a[8]*a[14] + 
            28*a[1]^3*(9*a[7]^2*a[9] + 
             2*a[8]*(9*a[6]*a[9] + 
             a[14])) + 3003*a[1]^10*a[7]*
             a[15] + 21*a[1]^2*
             (8*a[6]*a[8]*a[9] + 
             a[7]*(8*a[8]^2 + a[15])) + 
            4368*a[1]^11*a[6]*a[16] + 
            3*a[1]*(14*a[7]^2*a[9] + 
             7*a[7]*(a[8]^2 + 2*a[6]*
             a[10]) + 2*a[6]*a[16]) + 
            a[5]*(21*a[6]^2*a[7] + 
             504*a[1]^3*a[9]^2 + 
             168*a[1]^2*a[8]*a[10] + 
             1260*a[1]^4*a[8]*a[10] + 
             42*a[1]*a[7]*a[11] + 
             2772*a[1]^5*a[7]*a[11] + 
             6*(1 + 924*a[1]^6)*a[6]*a[
             12] + a[17] + 6188*a[1]^12*
             a[17]) + 1197*a[1]^17*
             a[21]) + 3*a[22] + 
          1540*a[1]^19*a[22]) + 
        a[4]^2*(15*a[5]^4*a[6] + 
          180*a[1]*a[6]^3*a[7] + 
          210*a[1]^2*a[6]^3*a[7] + 
          90*a[3]^2*a[6]*a[7]^2 + 
          1260*a[1]*a[3]^2*a[6]*a[7]^2 + 
          180*a[3]^2*a[6]^2*a[8] + 
          2520*a[1]^2*a[3]^2*a[6]^2*
           a[8] + 105*a[3]^4*a[7]*a[8] + 
          840*a[1]*a[3]^4*a[7]*a[8] + 
          1260*a[1]^2*a[3]*a[7]^2*a[8] + 
          1680*a[1]^3*a[3]*a[7]^2*a[8] + 
          180*a[1]*a[3]*a[6]*a[8]^2 + 
          3360*a[1]^3*a[3]*a[6]*a[8]^2 + 
          4*a[8]^3 + 420*a[1]^4*a[8]^3 + 
          3780*a[1]^2*a[3]^4*a[6]*a[9] + 
          360*a[1]*a[3]*a[6]*a[7]*a[9] + 
          1260*a[1]^2*a[3]*a[6]*a[7]*
           a[9] + 7560*a[1]^4*a[3]*a[6]*
           a[7]*a[9] + 1680*a[1]^2*
           a[3]^3*a[8]*a[9] + 
          5040*a[1]^3*a[3]^3*a[8]*a[9] + 
          24*a[7]*a[8]*a[9] + 420*a[1]^3*
           a[7]*a[8]*a[9] + 840*a[1]^4*
           a[7]*a[8]*a[9] + 1512*a[1]^5*
           a[7]*a[8]*a[9] + 12*a[6]*
           a[9]^2 + 90*a[1]^2*a[6]*
           a[9]^2 + 1512*a[1]^5*a[6]*
           a[9]^2 + 1260*a[1]^2*a[3]^6*
           a[10] + 360*a[1]*a[3]*a[6]^2*
           a[10] + 7560*a[1]^5*a[3]*
           a[6]^2*a[10] + 420*a[1]*
           a[3]^3*a[7]*a[10] + 
          12600*a[1]^4*a[3]^3*a[7]*
           a[10] + 12*a[7]^2*a[10] + 
          420*a[1]^3*a[7]^2*a[10] + 
          1260*a[1]^6*a[7]^2*a[10] + 
          24*a[6]*a[8]*a[10] + 
          180*a[1]^2*a[6]*a[8]*a[10] + 
          840*a[1]^4*a[6]*a[8]*a[10] + 
          2520*a[1]^6*a[6]*a[8]*a[10] + 
          3780*a[1]^4*a[3]^2*a[9]*
           a[10] + 7560*a[1]^5*a[3]^2*
           a[9]*a[10] + 30*a[5]^3*
           (56*a[1]*a[2]^2*a[8] + 
            56*a[1]^2*a[3]*a[8] + 
            14*a[2]*(a[3]*a[7] + 
             12*a[1]^3*a[9]) + a[10] + 
            84*a[1]^5*a[10]) + 
          60*a[3]^3*a[6]*a[11] + 
          27720*a[1]^5*a[3]^3*a[6]*
           a[11] + 24*a[6]*a[7]*a[11] + 
          180*a[1]^2*a[6]*a[7]*a[11] + 
          420*a[1]^3*a[6]*a[7]*a[11] + 
          3960*a[1]^7*a[6]*a[7]*a[11] + 
          1680*a[1]^3*a[3]^2*a[8]*
           a[11] + 13860*a[1]^6*a[3]^2*
           a[8]*a[11] + 24*a[3]*a[10]*
           a[11] + 2520*a[1]^6*a[3]*
           a[10]*a[11] + 3960*a[1]^7*
           a[3]*a[10]*a[11] + 66*a[2]^10*
           a[12] + 16632*a[1]^5*a[3]^5*
           a[12] + 12*a[6]^2*a[12] + 
          180*a[1]^2*a[6]^2*a[12] + 
          2970*a[1]^8*a[6]^2*a[12] + 
          630*a[1]^2*a[3]^2*a[7]*a[12] + 
          23760*a[1]^7*a[3]^2*a[7]*
           a[12] + 24*a[3]*a[9]*a[12] + 
          1512*a[1]^5*a[3]*a[9]*a[12] + 
          5940*a[1]^8*a[3]*a[9]*a[12] + 
          24*a[1]*a[11]*a[12] + 
          495*a[1]^8*a[11]*a[12] + 
          660*a[1]^9*a[11]*a[12] + 
          4290*a[1]^2*a[2]^9*a[13] + 
          180*a[1]*a[3]^2*a[6]*a[13] + 
          38610*a[1]^8*a[3]^2*a[6]*
           a[13] + 24*a[3]*a[8]*a[13] + 
          840*a[1]^4*a[3]*a[8]*a[13] + 
          8580*a[1]^9*a[3]*a[8]*a[13] + 
          24*a[1]*a[10]*a[13] + 
          360*a[1]^7*a[10]*a[13] + 
          858*a[1]^10*a[10]*a[13] + 
          45045*a[1]^8*a[3]^4*a[14] + 
          24*a[3]*a[7]*a[14] + 
          420*a[1]^3*a[3]*a[7]*a[14] + 
          12012*a[1]^10*a[3]*a[7]*
           a[14] + 24*a[1]*a[9]*a[14] + 
          252*a[1]^6*a[9]*a[14] + 
          1092*a[1]^11*a[9]*a[14] + 
          495*a[2]^8*(12*a[1]*a[3]*
             a[12] + 91*a[1]^4*a[14]) + 
          6*a[5]^2*(280*a[1]*a[3]^3*
             a[8] + 10*a[7]*a[8] + 
            105*a[1]^2*a[7]*a[8] + 
            280*a[1]^3*a[7]*a[8] + 
            126*a[2]^5*a[9] + 10*a[6]*
             a[9] + 30*a[1]*a[6]*a[9] + 
            630*a[1]^4*a[6]*a[9] + 
            3150*a[1]^2*a[2]^4*a[10] + 
            3150*a[1]^4*a[3]^2*a[10] + 
            210*a[2]^3*(12*a[1]*a[3]*a[
             9] + 55*a[1]^4*a[11]) + 
            10*a[3]*(3*(1 + 7*a[1])*a[6]*
             a[7] + (1 + 396*a[1]^7)*a[
             12]) + 105*a[2]^2*
             (a[6]*a[7] + 4*(a[3]^2*
             a[8] + 30*a[1]^3*a[3]*
             a[10] + 33*a[1]^6*a[12])) + 
            5*a[2]*(42*a[1]*a[7]^2 + 
             84*a[1]^2*(2*a[6]*a[8] + 
             9*a[3]^2*a[9]) + 2772*a[1]^
             5*a[3]*a[11] + 1287*a[1]^8*
             a[13] + 2*(3*a[6]*a[8] + 
             a[13])) + 2*a[14] + 
            10*a[1]*a[14] + 1001*a[1]^10*
             a[14]) + 24*a[3]*a[6]*
           a[15] + 180*a[1]^2*a[3]*a[6]*
           a[15] + 16380*a[1]^11*a[3]*
           a[6]*a[15] + 24*a[1]*a[8]*
           a[15] + 168*a[1]^5*a[8]*
           a[15] + 1365*a[1]^12*a[8]*
           a[15] + 180*a[2]^7*
           (2*a[6]*a[10] + 
            11*(a[3]^2*a[11] + 52*a[1]^
             3*a[3]*a[13] + 91*a[1]^6*a[
             15])) + 43680*a[1]^11*
           a[3]^3*a[16] + 24*a[1]*a[7]*
           a[16] + 105*a[1]^4*a[7]*
           a[16] + 1680*a[1]^13*a[7]*
           a[16] + 252*a[2]^6*
           (a[8]*a[9] + a[1]*
             (10*a[7]*a[10] + 11*a[1]*(
             5*a[6]*a[11] + 30*a[3]^2*
             a[12] + 182*a[1]^3*a[3]*
             a[14] + 130*a[1]^6*
             a[16]))) + 24*a[1]*a[6]*
           a[17] + 60*a[1]^3*a[6]*
           a[17] + 2040*a[1]^14*a[6]*
           a[17] + 84*a[2]^5*
           (330*a[1]*a[3]^3*a[11] + 
            6435*a[1]^4*a[3]^2*a[13] + 
            18*a[3]*(a[7]*a[9] + 
             10*a[1]*a[6]*a[10] + 
             715*a[1]^7*a[15]) + 
            2*(9*a[1]*a[9]^2 + a[8]*a[
             10] + 45*a[1]^2*a[8]*a[
             10] + 165*a[1]^3*a[7]*a[
             11] + 495*a[1]^4*a[6]*a[
             12] + 2431*a[1]^10*a[
             17])) + 12*a[3]^2*a[18] + 
          18360*a[1]^14*a[3]^2*a[18] + 
          105*a[2]^4*(4*a[6]^2*a[8] + 
            30*a[3]^4*a[10] + 36*a[1]^2*
             a[9]*a[10] + 120*a[1]^3*
             a[9]*a[10] + 8*a[1]*a[8]*
             a[11] + 330*a[1]^4*a[8]*
             a[11] + 2640*a[1]^3*a[3]^3*
             a[12] + a[7]*a[12] + 
            792*a[1]^5*a[7]*a[12] + 
            12*a[6]*(3*a[3]^2*a[9] + 
             110*a[1]^3*a[3]*a[11] + 
             143*a[1]^6*a[13]) + 
            12012*a[1]^6*a[3]^2*a[14] + 
            8*a[3]*((1 + 9*a[1])*a[8]*a[
             9] + 5*a[1]^2*(9*a[7]*
             a[10] + 286*a[1]^7*
             a[16])) + 2652*a[1]^12*
             a[18]) + 6*a[5]*
           (5*a[6]*a[7]^2 + 30*a[1]*a[6]*
             a[7]^2 + 210*a[1]^2*a[6]*
             a[7]^2 + 28*a[3]^5*a[8] + 
            5*a[6]^2*a[8] + 60*a[1]*
             a[6]^2*a[8] + 280*a[1]^3*
             a[6]^2*a[8] + 4*a[9]*
             a[10] + 10*a[1]*a[9]*
             a[10] + 252*a[1]^5*a[9]*
             a[10] + 420*a[1]^6*a[9]*
             a[10] + 420*a[3]^4*
             (3*a[1]*a[2]*a[9] + 
             5*a[1]^3*a[10]) + 660*a[1]*
             a[2]^7*a[11] + 4*a[8]*
             a[11] + 10*a[1]*a[8]*
             a[11] + 140*a[1]^4*a[8]*
             a[11] + 660*a[1]^7*a[8]*
             a[11] + 9240*a[1]^3*a[2]^6*
             a[12] + 4*a[7]*a[12] + 
            10*a[1]*a[7]*a[12] + 
            70*a[1]^3*a[7]*a[12] + 
            990*a[1]^8*a[7]*a[12] + 
            70*a[3]^3*(a[6]*a[7] + 
             6*(2*a[2]^3*a[9] + 
             30*a[1]^2*a[2]^2*a[10] + 
             55*a[1]^4*a[2]*a[11] + 
             22*a[1]^6*a[12])) + 
            36036*a[1]^5*a[2]^5*a[13] + 
            4*a[6]*a[13] + 10*a[1]*a[6]*
             a[13] + 30*a[1]^2*a[6]*
             a[13] + 1430*a[1]^9*a[6]*
             a[13] + 140*a[2]^4*
             (a[7]*a[8] + 9*a[1]*a[6]*a[
             9] + 429*a[1]^7*a[14]) + 
            5*a[3]^2*(42*a[1]*a[7]*a[
             8] + 168*a[1]^2*a[7]*a[8] + 
             6*a[6]*a[9] + 504*a[1]^3*a[
             6]*a[9] + 1260*a[1]*a[2]^4*
             a[10] + 9240*a[1]^3*a[2]^3*
             a[11] + 16632*a[1]^5*a[2]^
             2*a[12] + 6*a[2]*(7*a[7]^
             2 + 56*a[1]*a[6]*a[8] + 
             1716*a[1]^7*a[13]) + 
             a[14] + 2002*a[1]^9*a[
             14]) + 70*a[2]^3*
             (8*a[1]*a[8]^2 + a[7]*a[
             9] + 36*a[1]^2*a[7]*a[9] + 
             120*a[1]^3*a[6]*a[10] + 
             715*a[1]^9*a[15]) + 
            5*a[2]^2*(168*a[1]^2*a[8]*a[
             9] + 504*a[1]^3*a[8]*a[9] + 
             42*a[1]*a[7]*a[10] + 
             1260*a[1]^4*a[7]*a[10] + 
             6*a[6]*a[11] + 2772*a[1]^5*
             a[6]*a[11] + a[16] + 
             4368*a[1]^11*a[16]) + 
            2*a[3]*(15*a[6]^3 + 5*a[8]*a[
             9] + 280*a[1]^3*a[8]*a[9] + 
             630*a[1]^4*a[8]*a[9] + 
             210*a[2]^6*a[10] + 5*a[7]*a[
             10] + 105*a[1]^2*a[7]*a[
             10] + 1260*a[1]^5*a[7]*a[
             10] + 6930*a[1]^2*a[2]^5*a[
             11] + 5*a[6]*(56*a[2]^3*
             a[8] + 756*a[1]^2*a[2]^2*
             a[9] + 6*(1 + 210*a[1]^4)*
             a[2]*a[10] + (1 + 6*a[1] + 
             462*a[1]^6)*a[11]) + 
             34650*a[1]^4*a[2]^4*a[12] + 
             60060*a[1]^6*a[2]^3*a[13] + 
             105*a[2]^2*((1 + 8*a[1])*
             a[7]*a[8] + 429*a[1]^8*
             a[14]) + 5*a[2]*(168*a[1]^2*
             a[8]^2 + 42*a[1]*a[7]*
             a[9] + 504*a[1]^3*a[7]*
             a[9] + a[15] + 3003*a[1]^10*
             a[15]) + 2*a[16] + 5*a[1]*a[
             16] + 1820*a[1]^12*a[16]) + 
            a[2]*(30*(2 + 7*a[1])*a[6]^
             2*a[7] + 5*(1 + 252*a[1]^4)*
             a[9]^2 + 10*(1 + 6*a[1] + 
             792*a[1]^7)*a[6]*a[12] + 
             2*(5*(1 + 56*a[1]^3 + 
             252*a[1]^5)*a[8]*a[10] + 
             5*(1 + 21*a[1]^2 + 462*
             a[1]^6)*a[7]*a[11] + 
             (2 + 5*a[1] + 2380*a[1]^13)*
             a[17])) + 4*a[1]*a[18] + 
            5*a[1]^2*a[18] + 408*a[1]^15*
             a[18]) + 30*a[2]^3*
           (7*a[7]^3 + 2310*a[1]^2*
             a[3]^4*a[11] + 24024*a[1]^5*
             a[3]^3*a[13] + 2*a[7]*
             (7*(1 + 8*a[1])*a[6]*a[8] + 
             7*a[3]*a[11] + 2310*a[1]^4*
             a[3]*a[11] + 1716*a[1]^7*a[
             13] + 7*a[1]*(36*a[3]^2*
             a[9] + a[13])) + 7*a[3]^2*
             (8*a[8]^2 + 360*a[1]^2*a[6]*
             a[10] + 6435*a[1]^8*a[
             15]) + 56*a[1]*a[3]*
             (9*a[1]*a[9]^2 + 2*a[8]*a[
             10] + 30*a[1]^2*a[8]*a[
             10] + 198*a[1]^4*a[6]*a[
             12] + 442*a[1]^10*a[17]) + 
            2*(210*a[1]^4*a[10]^2 + 
             84*a[1]^3*a[9]*a[11] + 
             462*a[1]^5*a[9]*a[11] + 
             924*a[1]^6*a[8]*a[12] + 
             14*a[1]^2*(9*a[6]^2*a[9] + 
             2*a[8]*a[12]) + a[6]*a[
             14] + 3003*a[1]^8*a[6]*a[
             14] + 1938*a[1]^14*a[
             19])) + 3*a[3]*a[20] + 
          24*a[1]*a[3]*a[20] + 
          3420*a[1]^17*a[3]*a[20] + 
          6*a[2]^2*(15*a[6]*a[8]^2 + 
            30*a[6]*a[7]*a[9] + 
            1260*a[1]*a[3]^5*a[10] + 
            30*a[6]^2*a[10] + 
            1260*a[1]^5*a[10]*a[11] + 
            2310*a[1]^6*a[10]*a[11] + 
            34650*a[1]^4*a[3]^4*a[12] + 
            3960*a[1]^7*a[9]*a[12] + 
            630*a[1]^4*(5*a[6]^2*a[10] + 
             a[9]*a[12]) + 6435*a[1]^8*
             a[8]*a[13] + 280*a[1]^3*
             (9*a[6]*a[7]*a[9] + 
             a[8]*a[13]) + 10010*a[1]^9*
             a[7]*a[14] + 280*a[3]^3*
             (a[7]*a[8] + 9*a[1]*a[6]*a[
             9] + 429*a[1]^7*a[14]) + 
            105*a[1]^2*(4*a[7]^2*a[8] + 
             8*a[6]*a[8]^2 + a[7]*a[
             14]) + 15015*a[1]^10*a[6]*
             a[15] + 30*a[1]*
             (7*a[7]^2*a[8] + 7*a[6]*a[
             7]*a[9] + a[6]*a[15]) + 
            105*a[3]^2*(8*a[1]*a[8]*a[
             9] + 36*a[1]^2*a[8]*a[9] + 
             a[7]*a[10] + 120*a[1]^3*a[
             7]*a[10] + 330*a[1]^4*a[6]*
             a[11] + 1144*a[1]^10*a[
             16]) + 30*a[3]*
             (28*a[1]*a[6]^2*a[8] + 
             a[6]*(7*a[7]^2 + a[13] + 
             1716*a[1]^7*a[13]) + 
             7*a[1]*(12*a[1]^2*a[9]*
             a[10] + 30*a[1]^3*a[9]*
             a[10] + 4*a[1]*a[8]*a[11] + 
             66*a[1]^4*a[8]*a[11] + 
             a[7]*a[12] + 132*a[1]^5*
             a[7]*a[12] + 204*a[1]^12*
             a[18])) + 2*a[20] + 
            4845*a[1]^16*a[20]) + 
          6*a[2]*(10*a[6]^4 + 15*a[6]^2*
             (7*a[3]^2*a[7] + 4*(1 + 
             42*a[1]^3)*a[3]*a[9] + 
             2*a[1]*(2 + 77*a[1]^5)*a[
             11]) + 660*a[1]^7*
             (a[11]^2 + 12*a[3]*a[8]*a[
             12]) + 210*a[1]^6*
             (22*a[3]*a[9]*a[11] + 
             2*a[10]*a[12] + 143*a[3]^4*
             a[13]) + 990*a[1]^8*
             (a[10]*a[12] + 13*a[3]*a[7]*
             a[13]) + 252*a[1]^5*
             (10*a[3]*a[10]^2 + 55*a[3]^
             2*a[7]*a[11] + a[9]*a[
             13]) + 105*a[1]^2*
             (2*a[7]^2*a[9] + 8*a[3]^2*a[
             8]*a[10] + a[7]*(a[8]^2 + 
             24*a[3]^3*a[9] + 2*a[3]*
             a[13])) + 2002*a[1]^10*a[8]*
             a[14] + 70*a[1]^4*
             (9*a[7]^2*a[9] + 90*a[3]^2*
             a[8]*a[10] + 18*a[3]*a[9]*a[
             11] + 2*a[8]*a[14]) + 
            2730*a[1]^11*a[7]*a[15] + 
            1430*a[1]^9*(a[9]*a[13] + 
             35*a[3]^3*a[15]) + 
            70*a[1]^3*(2*a[3]*(18*a[3]*
             a[9]^2 + 33*a[3]^4*a[11] + 
             4*a[8]*a[12]) + a[7]*(
             8*a[8]^2 + a[15])) + 
            2*a[6]*(70*a[3]^4*a[8] + 
             280*a[1]^3*a[8]*a[9] + 
             630*a[1]^4*a[8]*a[9] + 
             4200*a[1]^3*a[3]^3*a[10] + 
             1260*a[1]^5*a[7]*a[10] + 
             30*a[1]*(a[8]*a[9] + 
             a[7]*a[10]) + 15*(1 + 
             924*a[1]^6)*a[3]^2*a[12] + 
             10*a[3]*(3*(1 + 7*a[1] + 
             28*a[1]^2)*a[7]*a[8] + 
             a[1]*(3 + 1001*a[1]^8)*
             a[14]) + 2*a[16] + 
             1820*a[1]^12*a[16] + 
             15*a[1]^2*(7*a[7]*a[10] + 
             a[16])) + 30940*a[1]^12*
             a[3]^2*a[17] + 7752*a[1]^15*
             a[3]*a[19] + 
            2*(21*a[3]^6*a[9] + 35*a[3]^
             3*a[7]*a[9] + a[11]^2 + 
             2*(a[10]*a[12] + a[9]*
             a[13] + a[8]*a[14] + 
             a[7]*a[15]) + 2*a[3]*a[
             19]) + 665*a[1]^18*a[21] + 
            a[1]*(210*a[3]*a[7]^3 + 
             560*a[3]^3*a[8]^2 + 
             210*a[3]^2*a[7]*a[11] + 
             4*a[21])) + 12*a[1]^2*
           a[22] + 231*a[1]^20*a[22]) + 
        33649*a[1]^18*a[2]^5*a[23] + 
        2*a[2]*a[5]*a[23] + 20*a[1]^3*
         a[2]*a[5]*a[23] + 506*a[1]^21*
         a[2]*a[5]*a[23] + 6*a[1]^5*a[6]*
         a[23] + 23*a[1]^22*a[6]*a[23] + 
        10626*a[1]^20*a[2]^4*a[24] + 
        5*a[1]^4*a[5]*a[24] + 
        24*a[1]^23*a[5]*a[24] + 
        3*a[3]^2*(20*a[1]*a[6]*a[7]^3 + 
          210*a[1]^2*a[6]*a[7]^3 + 
          120*a[1]*a[6]^2*a[7]*a[8] + 
          210*a[1]^2*a[6]^2*a[7]*a[8] + 
          560*a[1]^3*a[6]^2*a[7]*a[8] + 
          35*a[5]^4*(a[2]*a[7] + 
            4*a[1]^2*a[8]) + 60*a[1]*
           a[6]^3*a[9] + 420*a[1]^4*
           a[6]^3*a[9] + 140*a[1]^4*a[8]*
           a[9]^2 + 504*a[1]^5*a[8]*
           a[9]^2 + 280*a[1]^4*a[8]^2*
           a[10] + 420*a[1]^6*a[8]^2*
           a[10] + 140*a[1]^3*a[7]*a[9]*
           a[10] + 504*a[1]^5*a[7]*a[9]*
           a[10] + 840*a[1]^6*a[7]*a[9]*
           a[10] + 30*a[1]^2*a[6]*
           a[10]^2 + 840*a[1]^6*a[6]*
           a[10]^2 + 140*a[1]^3*a[7]*
           a[8]*a[11] + 280*a[1]^4*a[7]*
           a[8]*a[11] + 1320*a[1]^7*a[7]*
           a[8]*a[11] + 60*a[1]^2*a[6]*
           a[9]*a[11] + 504*a[1]^5*a[6]*
           a[9]*a[11] + 1320*a[1]^7*a[6]*
           a[9]*a[11] + 140*a[1]^3*
           a[7]^2*a[12] + 990*a[1]^8*
           a[7]^2*a[12] + 60*a[1]^2*a[6]*
           a[8]*a[12] + 280*a[1]^4*a[6]*
           a[8]*a[12] + 1980*a[1]^8*a[6]*
           a[8]*a[12] + 10*a[5]^3*
           (2*(1 + 7*a[1])*a[6]*a[7] + 
            168*a[1]*a[2]^3*a[9] + 
            840*a[1]^3*a[2]^2*a[10] + 
            924*a[1]^5*a[2]*a[11] + 
            a[12] + 264*a[1]^7*a[12]) + 
          26*a[2]^11*a[13] + 60*a[1]^2*
           a[6]*a[7]*a[13] + 140*a[1]^3*
           a[6]*a[7]*a[13] + 2860*a[1]^9*
           a[6]*a[7]*a[13] + 2*a[12]*
           a[13] + 220*a[1]^9*a[12]*
           a[13] + 286*a[1]^10*a[12]*
           a[13] + 2002*a[1]^2*a[2]^10*
           a[14] + 60*a[1]^2*a[6]^2*
           a[14] + 2002*a[1]^10*a[6]^2*
           a[14] + 2*a[11]*a[14] + 
          165*a[1]^8*a[11]*a[14] + 
          364*a[1]^11*a[11]*a[14] + 
          25025*a[1]^4*a[2]^9*a[15] + 
          2*a[10]*a[15] + 120*a[1]^7*
           a[10]*a[15] + 455*a[1]^12*
           a[10]*a[15] + 2*a[9]*a[16] + 
          84*a[1]^6*a[9]*a[16] + 
          560*a[1]^13*a[9]*a[16] + 
          165*a[2]^8*(a[6]*a[11] + 
            728*a[1]^6*a[16]) + 
          10*a[5]^2*(3*a[6]^3 + 
            2*a[8]*a[9] + 56*a[1]^3*a[8]*
             a[9] + 126*a[1]^4*a[8]*
             a[9] + 42*a[2]^6*a[10] + 
            2*a[7]*a[10] + 21*a[1]^2*
             a[7]*a[10] + 252*a[1]^5*
             a[7]*a[10] + 1386*a[1]^2*
             a[2]^5*a[11] + 2*a[6]*
             (28*a[2]^3*a[8] + 378*a[1]^
             2*a[2]^2*a[9] + 3*(1 + 
             210*a[1]^4)*a[2]*a[10] + 
             (1 + 3*a[1] + 231*a[1]^6)*a[
             11]) + 6930*a[1]^4*a[2]^4*
             a[12] + 12012*a[1]^6*a[2]^3*
             a[13] + 21*a[2]^2*
             ((1 + 8*a[1])*a[7]*a[8] + 
             429*a[1]^8*a[14]) + 
            a[2]*(168*a[1]^2*a[8]^2 + 
             42*a[1]*a[7]*a[9] + 
             504*a[1]^3*a[7]*a[9] + 
             2*a[15] + 3003*a[1]^10*a[
             15]) + 2*a[1]*a[16] + 
            364*a[1]^12*a[16]) + 
          2*a[8]*a[17] + 56*a[1]^5*a[8]*
           a[17] + 680*a[1]^14*a[8]*
           a[17] + 120*a[2]^7*
           (a[8]*a[10] + 11*a[1]*
             (a[7]*a[11] + 6*a[1]*a[6]*a[
             12] + 221*a[1]^7*a[17])) + 
          2*a[7]*a[18] + 35*a[1]^4*a[7]*
           a[18] + 816*a[1]^15*a[7]*
           a[18] + 84*a[2]^6*
           ((1 + 10*a[1])*a[9]*a[10] + 
            11*a[1]^2*(5*a[8]*a[11] + 
             a[1]*(20*a[7]*a[12] + 
             65*a[1]*a[6]*a[13] + 
             442*a[1]^7*a[18]))) + 
          2*a[6]*a[19] + 20*a[1]^3*a[6]*
           a[19] + 969*a[1]^16*a[6]*
           a[19] + 28*a[2]^5*
           (9*a[6]^2*a[9] + 90*a[1]^2*
             a[10]^2 + 18*a[1]*a[9]*
             a[11] + 330*a[1]^3*a[9]*
             a[11] + 2*a[8]*a[12] + 
            990*a[1]^4*a[8]*a[12] + 
            2574*a[1]^5*a[7]*a[13] + 
            6006*a[1]^6*a[6]*a[14] + 
            12597*a[1]^12*a[19]) + 
          2*a[5]*(5*(1 + 42*a[1]^2 + 
             56*a[1]^3)*a[7]^2*a[8] + 
            5*a[6]*a[8]^2 + 30*a[1]*a[6]*
             a[8]^2 + 560*a[1]^3*a[6]*
             a[8]^2 + 5*a[6]^2*a[10] + 
            60*a[1]*a[6]^2*a[10] + 
            1260*a[1]^5*a[6]^2*a[10] + 
            10*a[1]*a[10]*a[11] + 
            420*a[1]^6*a[10]*a[11] + 
            660*a[1]^7*a[10]*a[11] + 
            990*a[1]*a[2]^8*a[12] + 
            10*a[1]*a[9]*a[12] + 
            252*a[1]^5*a[9]*a[12] + 
            990*a[1]^8*a[9]*a[12] + 
            17160*a[1]^3*a[2]^7*a[13] + 
            10*a[1]*a[8]*a[13] + 
            140*a[1]^4*a[8]*a[13] + 
            1430*a[1]^9*a[8]*a[13] + 
            84084*a[1]^5*a[2]^6*a[14] + 
            2*a[7]*(5*(1 + 6*a[1] + 
             21*a[1]^2 + 126*a[1]^4)*a[
             6]*a[9] + a[1]*(5 + 
             35*a[1]^2 + 1001*a[1]^9)*a[
             14]) + 10*a[1]*a[6]*a[15] + 
            30*a[1]^2*a[6]*a[15] + 
            2730*a[1]^11*a[6]*a[15] + 
            252*a[2]^5*(a[7]*a[9] + 
             10*a[1]*a[6]*a[10] + 
             715*a[1]^7*a[15]) + 
            140*a[2]^4*((1 + 9*a[1])*a[
             8]*a[9] + 5*a[1]^2*(9*a[7]*
             a[10] + 33*a[1]*a[6]*
             a[11] + 286*a[1]^7*
             a[16])) + 70*a[2]^3*
             (36*a[1]^2*a[9]^2 + 
             8*a[1]*a[8]*a[10] + 
             120*a[1]^3*a[8]*a[10] + 
             a[7]*a[11] + 330*a[1]^4*a[
             7]*a[11] + 792*a[1]^5*a[6]*
             a[12] + 1768*a[1]^11*a[
             17]) + 5*a[2]^2*
             (168*a[1]*a[6]^2*a[8] + 
             504*a[1]^3*a[9]*a[10] + 
             1260*a[1]^4*a[9]*a[10] + 
             168*a[1]^2*a[8]*a[11] + 
             2772*a[1]^5*a[8]*a[11] + 
             42*a[1]*a[7]*a[12] + 
             5544*a[1]^6*a[7]*a[12] + 
             6*a[6]*(7*a[7]^2 + a[13] + 
             1716*a[1]^7*a[13]) + 
             a[18] + 8568*a[1]^13*a[
             18]) + a[2]*(2520*a[1]^5*
             a[10]^2 + 1260*a[1]^4*a[9]*
             a[11] + 4620*a[1]^6*a[9]*a[
             11] + 7920*a[1]^7*a[8]*a[
             12] + 280*a[1]^3*(9*a[6]^2*
             a[9] + 2*a[8]*a[12]) + 
             12870*a[1]^8*a[7]*a[13] + 
             210*a[1]^2*a[7]*(8*a[6]*
             a[8] + a[13]) + 20020*a[1]^
             9*a[6]*a[14] + 5*(12*a[6]^2*
             a[9] + a[10]^2 + 2*a[9]*
             a[11] + 2*a[8]*a[12] + 
             2*a[7]*a[13] + 2*a[6]*
             (6*a[7]*a[8] + a[14])) + 
             7752*a[1]^15*a[19] + 
             10*a[1]*(21*a[7]^3 + 
             42*a[6]*a[7]*a[8] + 6*a[6]*
             a[14] + a[19])) + a[20] + 
            5*a[1]^2*a[20] + 570*a[1]^17*
             a[20]) + 5*a[2]^4*
           (28*a[7]^2*a[8] + 1260*a[1]^2*
             a[6]^2*a[10] + 7*a[7]*
             (72*a[1]*a[6]*a[9] + 
             a[14] + 3432*a[1]^7*a[
             14]) + 7*a[6]*(8*a[8]^2 + 
             6435*a[1]^8*a[15]) + 
            2*a[1]*(420*a[1]^2*a[10]*a[
             11] + 1155*a[1]^3*a[10]*a[
             11] + 126*a[1]*a[9]*a[12] + 
             2772*a[1]^4*a[9]*a[12] + 
             28*a[8]*a[13] + 6006*a[1]^
             5*a[8]*a[13] + 19380*a[1]^
             13*a[20])) + 10*a[2]^3*
           (14*(1 + 18*a[1]^2)*a[7]^2*
             a[9] + 112*a[1]*a[6]*a[8]*
             a[9] + 924*a[1]^5*a[11]^2 + 
            1848*a[1]^6*a[10]*a[12] + 
            210*a[1]^4*(11*a[6]^2*a[
             11] + 2*a[10]*a[12]) + 
            168*a[1]^3*a[9]*a[13] + 
            3432*a[1]^7*a[9]*a[13] + 
            6006*a[1]^8*a[8]*a[14] + 
            56*a[1]^2*a[8]*(9*a[6]*a[
             9] + a[14]) + 7*a[7]*
             ((1 + 16*a[1])*a[8]^2 + 
             2*((1 + 120*a[1]^3)*a[6]*
             a[10] + a[1]*(1 + 715*a[1]^
             8)*a[15])) + 2*a[6]*a[16] + 
            16016*a[1]^10*a[6]*a[16] + 
            6783*a[1]^16*a[21]) + 
          10*a[2]^2*(7*a[6]^3*a[7] + 
            6*(1 + 462*a[1]^6)*a[6]^2*
             a[12] + a[6]*
             ((3 + 504*a[1]^3)*a[9]^2 + 
             2*(3*(1 + 28*a[1]^2 + 
             210*a[1]^4)*a[8]*a[10] + 
             3*(1 + 7*a[1] + 462*a[1]^5)*
             a[7]*a[11] + a[1]*(3 + 
             3094*a[1]^11)*a[17])) + 
            a[1]*(42*a[7]*(a[8]*a[9] + 
             a[7]*a[10]) + 462*a[1]^5*a[
             11]*a[12] + 792*a[1]^6*a[
             11]*a[12] + 252*a[1]^4*a[
             10]*a[13] + 1287*a[1]^7*a[
             10]*a[13] + 2002*a[1]^8*a[
             9]*a[14] + 126*a[1]^3*(
             5*a[7]^2*a[10] + a[9]*
             a[14]) + 3003*a[1]^9*a[8]*a[
             15] + 56*a[1]^2*a[8]*(
             9*a[7]*a[9] + a[15]) + 
             4368*a[1]^10*a[7]*a[16] + 
             21*a[1]*(4*a[8]^3 + 8*a[7]*
             a[8]*a[9] + a[7]*a[16]) + 
             1463*a[1]^17*a[22])) + 
          a[2]*(20*(3 + 28*a[1]^2)*
             a[6]^3*a[8] + 210*a[1]^2*
             a[7]*(a[9]^2 + 2*a[8]*a[
             10] + 2*a[7]*a[11]) + 
            1980*a[1]^8*a[12]^2 + 
            1320*a[1]^7*a[11]*a[13] + 
            2860*a[1]^9*a[11]*a[13] + 
            30*a[6]^2*(2*(1 + 7*a[1])*
             a[7]^2 + a[1]*(4 + 429*
             a[1]^7)*a[13]) + 
            4004*a[1]^10*a[10]*a[14] + 
            420*a[1]^6*(11*a[7]^2*a[
             11] + 2*a[10]*a[14]) + 
            5460*a[1]^11*a[9]*a[15] + 
            504*a[1]^5*(10*a[7]*a[8]*a[
             10] + a[9]*a[15]) + 
            7280*a[1]^12*a[8]*a[16] + 
            140*a[1]^4*(9*a[8]^2*a[9] + 
             18*a[7]*a[9]^2 + 2*a[8]*a[
             16]) + 9520*a[1]^13*a[7]*
             a[17] + 140*a[1]^3*
             (8*a[8]^2*a[9] + 8*a[7]*a[
             8]*a[10] + a[7]*a[17]) + 
            20*a[1]*a[6]*(6*(1 + 
             21*a[1]^3 + 42*a[1]^4)*a[9]*
             a[10] + 2*(3 + 28*a[1]^2 + 
             231*a[1]^5)*a[8]*a[11] + 
             3*((2 + 7*a[1] + 264*a[1]^
             6)*a[7]*a[12] + a[1]*(1 + 
             204*a[1]^12)*a[18])) + 
            2*a[23] + 1771*a[1]^20*
             a[23]) + 2*a[1]*a[24] + 
          92*a[1]^22*a[24]) + 
        2300*a[1]^22*a[2]^3*a[25] + 
        a[4]*(5*a[5]*a[6]^4 + 
          120*a[1]*a[5]*a[6]^4 + 
          60*a[5]^2*a[6]^2*a[7] + 
          360*a[1]*a[5]^2*a[6]^2*a[7] + 
          630*a[1]^2*a[5]^2*a[6]^2*
           a[7] + 30*a[5]^3*a[7]^2 + 
          420*a[1]^2*a[5]^3*a[7]^2 + 
          a[7]^4 + 140*a[1]^3*a[7]^4 + 
          60*a[5]^3*a[6]*a[8] + 
          120*a[1]*a[5]^3*a[6]*a[8] + 
          1120*a[1]^3*a[5]^3*a[6]*a[8] + 
          12*a[6]*a[7]^2*a[8] + 
          180*a[1]^2*a[6]*a[7]^2*a[8] + 
          840*a[1]^3*a[6]*a[7]^2*a[8] + 
          840*a[1]^4*a[6]*a[7]^2*a[8] + 
          6*a[6]^2*a[8]^2 + 180*a[1]^2*
           a[6]^2*a[8]^2 + 840*a[1]^4*
           a[6]^2*a[8]^2 + 12*a[5]*a[7]*
           a[8]^2 + 60*a[1]*a[5]*a[7]*
           a[8]^2 + 420*a[1]^3*a[5]*a[7]*
           a[8]^2 + 1680*a[1]^4*a[5]*
           a[7]*a[8]^2 + 9*a[3]^8*a[9] + 
          20*a[5]^4*a[9] + 630*a[1]^4*
           a[5]^4*a[9] + 12*a[6]^2*a[7]*
           a[9] + 360*a[1]^2*a[6]^2*a[7]*
           a[9] + 420*a[1]^3*a[6]^2*a[7]*
           a[9] + 1512*a[1]^5*a[6]^2*
           a[7]*a[9] + 12*a[5]*a[7]^2*
           a[9] + 60*a[1]*a[5]*a[7]^2*
           a[9] + 840*a[1]^3*a[5]*a[7]^2*
           a[9] + 1512*a[1]^5*a[5]*
           a[7]^2*a[9] + 24*a[5]*a[6]*
           a[8]*a[9] + 120*a[1]*a[5]*
           a[6]*a[8]*a[9] + 360*a[1]^2*
           a[5]*a[6]*a[8]*a[9] + 
          1680*a[1]^4*a[5]*a[6]*a[8]*
           a[9] + 3024*a[1]^5*a[5]*a[6]*
           a[8]*a[9] + 6*a[5]^2*a[9]^2 + 
          60*a[1]*a[5]^2*a[9]^2 + 
          1512*a[1]^5*a[5]^2*a[9]^2 + 
          4*a[1]*a[9]^3 + 252*a[1]^6*
           a[9]^3 + 4*a[6]^3*a[10] + 
          180*a[1]^2*a[6]^3*a[10] + 
          840*a[1]^6*a[6]^3*a[10] + 
          24*a[5]*a[6]*a[7]*a[10] + 
          120*a[1]*a[5]*a[6]*a[7]*
           a[10] + 360*a[1]^2*a[5]*a[6]*
           a[7]*a[10] + 840*a[1]^3*a[5]*
           a[6]*a[7]*a[10] + 5040*a[1]^6*
           a[5]*a[6]*a[7]*a[10] + 
          12*a[5]^2*a[8]*a[10] + 
          120*a[1]*a[5]^2*a[8]*a[10] + 
          840*a[1]^4*a[5]^2*a[8]*a[10] + 
          2520*a[1]^6*a[5]^2*a[8]*
           a[10] + 24*a[1]*a[8]*a[9]*
           a[10] + 336*a[1]^5*a[8]*a[9]*
           a[10] + 504*a[1]^6*a[8]*a[9]*
           a[10] + 720*a[1]^7*a[8]*a[9]*
           a[10] + 12*a[1]*a[7]*
           a[10]^2 + 105*a[1]^4*a[7]*
           a[10]^2 + 720*a[1]^7*a[7]*
           a[10]^2 + 12*a[5]*a[6]^2*
           a[11] + 60*a[1]*a[5]*a[6]^2*
           a[11] + 360*a[1]^2*a[5]*
           a[6]^2*a[11] + 3960*a[1]^7*
           a[5]*a[6]^2*a[11] + 
          12*a[5]^2*a[7]*a[11] + 
          120*a[1]*a[5]^2*a[7]*a[11] + 
          420*a[1]^3*a[5]^2*a[7]*a[11] + 
          3960*a[1]^7*a[5]^2*a[7]*
           a[11] + 12*a[1]*a[8]^2*
           a[11] + 336*a[1]^5*a[8]^2*
           a[11] + 495*a[1]^8*a[8]^2*
           a[11] + 24*a[1]*a[7]*a[9]*
           a[11] + 210*a[1]^4*a[7]*a[9]*
           a[11] + 504*a[1]^6*a[7]*a[9]*
           a[11] + 990*a[1]^8*a[7]*a[9]*
           a[11] + 24*a[1]*a[6]*a[10]*
           a[11] + 120*a[1]^3*a[6]*a[10]*
           a[11] + 720*a[1]^7*a[6]*a[10]*
           a[11] + 990*a[1]^8*a[6]*a[10]*
           a[11] + 12*a[1]*a[5]*
           a[11]^2 + 30*a[1]^2*a[5]*
           a[11]^2 + 990*a[1]^8*a[5]*
           a[11]^2 + 120*a[3]^7*
           (6*a[1]*a[2]*a[10] + 
            11*a[1]^3*a[11]) + 
          12*a[5]^2*a[6]*a[12] + 
          120*a[1]*a[5]^2*a[6]*a[12] + 
          180*a[1]^2*a[5]^2*a[6]*a[12] + 
          5940*a[1]^8*a[5]^2*a[6]*
           a[12] + 24*a[1]*a[7]*a[8]*
           a[12] + 210*a[1]^4*a[7]*a[8]*
           a[12] + 336*a[1]^5*a[7]*a[8]*
           a[12] + 1320*a[1]^9*a[7]*a[8]*
           a[12] + 24*a[1]*a[6]*a[9]*
           a[12] + 120*a[1]^3*a[6]*a[9]*
           a[12] + 504*a[1]^6*a[6]*a[9]*
           a[12] + 1320*a[1]^9*a[6]*a[9]*
           a[12] + 24*a[1]*a[5]*a[10]*
           a[12] + 60*a[1]^2*a[5]*a[10]*
           a[12] + 720*a[1]^7*a[5]*a[10]*
           a[12] + 1320*a[1]^9*a[5]*
           a[10]*a[12] + 13*a[2]^12*
           a[13] + 4*a[5]^3*a[13] + 
          60*a[1]*a[5]^3*a[13] + 
          2860*a[1]^9*a[5]^3*a[13] + 
          12*a[1]*a[7]^2*a[13] + 
          210*a[1]^4*a[7]^2*a[13] + 
          858*a[1]^10*a[7]^2*a[13] + 
          24*a[1]*a[6]*a[8]*a[13] + 
          120*a[1]^3*a[6]*a[8]*a[13] + 
          336*a[1]^5*a[6]*a[8]*a[13] + 
          1716*a[1]^10*a[6]*a[8]*a[13] + 
          24*a[1]*a[5]*a[9]*a[13] + 
          60*a[1]^2*a[5]*a[9]*a[13] + 
          504*a[1]^6*a[5]*a[9]*a[13] + 
          1716*a[1]^10*a[5]*a[9]*a[13] + 
          6*a[1]^2*a[13]^2 + 156*a[1]^11*
           a[13]^2 + 28*a[3]^6*
           (2*a[6]*a[8] + 18*a[1]*a[5]*
             a[9] + 30*a[2]^3*a[10] + 
            495*a[1]^2*a[2]^2*a[11] + 
            990*a[1]^4*a[2]*a[12] + 
            429*a[1]^6*a[13]) + 
          1092*a[1]^2*a[2]^11*a[14] + 
          24*a[1]*a[6]*a[7]*a[14] + 
          120*a[1]^3*a[6]*a[7]*a[14] + 
          210*a[1]^4*a[6]*a[7]*a[14] + 
          2184*a[1]^11*a[6]*a[7]*a[14] + 
          24*a[1]*a[5]*a[8]*a[14] + 
          60*a[1]^2*a[5]*a[8]*a[14] + 
          336*a[1]^5*a[5]*a[8]*a[14] + 
          2184*a[1]^11*a[5]*a[8]*a[14] + 
          12*a[1]^2*a[12]*a[14] + 
          132*a[1]^10*a[12]*a[14] + 
          182*a[1]^12*a[12]*a[14] + 
          15015*a[1]^4*a[2]^10*a[15] + 
          12*a[1]*a[6]^2*a[15] + 
          120*a[1]^3*a[6]^2*a[15] + 
          1365*a[1]^12*a[6]^2*a[15] + 
          24*a[1]*a[5]*a[7]*a[15] + 
          60*a[1]^2*a[5]*a[7]*a[15] + 
          210*a[1]^4*a[5]*a[7]*a[15] + 
          2730*a[1]^12*a[5]*a[7]*a[15] + 
          12*a[1]^2*a[11]*a[15] + 
          110*a[1]^9*a[11]*a[15] + 
          210*a[1]^13*a[11]*a[15] + 
          42*a[3]^5*(8*a[1]*a[8]^2 + 
            a[7]*a[9] + 36*a[1]^2*a[7]*
             a[9] + 120*a[1]^3*a[6]*
             a[10] + 330*a[1]*a[2]^4*
             a[11] + 330*a[1]^4*a[5]*
             a[11] + 2640*a[1]^3*a[2]^3*
             a[12] + 36*a[2]^2*
             (a[5]*a[9] + 143*a[1]^5*a[
             13]) + 8*a[2]*(a[7]*a[8] + 
             9*a[1]*a[6]*a[9] + 45*a[1]^
             2*a[5]*a[10] + 429*a[1]^7*a[
             14]) + 715*a[1]^9*a[15]) + 
          24*a[1]*a[5]*a[6]*a[16] + 
          60*a[1]^2*a[5]*a[6]*a[16] + 
          120*a[1]^3*a[5]*a[6]*a[16] + 
          3360*a[1]^13*a[5]*a[6]*a[16] + 
          12*a[1]^2*a[10]*a[16] + 
          90*a[1]^8*a[10]*a[16] + 
          240*a[1]^14*a[10]*a[16] + 
          110*a[2]^9*(a[6]*a[11] + 
            12*a[1]*a[5]*a[12] + 
            728*a[1]^6*a[16]) + 
          12*a[1]*a[5]^2*a[17] + 
          60*a[1]^2*a[5]^2*a[17] + 
          2040*a[1]^14*a[5]^2*a[17] + 
          12*a[1]^2*a[9]*a[17] + 
          72*a[1]^7*a[9]*a[17] + 
          272*a[1]^15*a[9]*a[17] + 
          90*a[2]^8*(a[8]*a[10] + 
            11*a[1]*(a[7]*a[11] + 
             a[1]*(6*a[6]*a[12] + 
             26*a[1]*a[5]*a[13] + 
             221*a[1]^6*a[17]))) + 
          5*a[3]^4*(21*a[6]^2*a[7] + 
            84*a[5]^2*(2*a[2]*a[8] + 
             9*a[1]^2*a[9]) + 6*a[6]*
             (56*a[1]*a[5]*a[8] + 
             84*a[2]^3*a[9] + 1260*a[1]^
             2*a[2]^2*a[10] + 2310*a[1]^
             4*a[2]*a[11] + a[12] + 
             924*a[1]^6*a[12]) + 
            6*a[5]*(7*a[7]^2 + 
             12*(70*a[1]*a[2]^3*a[10] + 
             385*a[1]^3*a[2]^2*a[11] + 
             462*a[1]^5*a[2]*a[12] + 
             143*a[1]^7*a[13])) + 
            7*(66*a[2]^6*a[11] + 
             2376*a[1]^2*a[2]^5*a[12] + 
             12870*a[1]^4*a[2]^4*a[13] + 
             24024*a[1]^6*a[2]^3*a[14] + 
             3*a[2]^2*(8*a[8]^2 + 
             72*a[1]*a[7]*a[9] + 6435*
             a[1]^8*a[15]) + 6*a[2]*(
             8*a[1]*a[8]*a[9] + 
             36*a[1]^2*a[8]*a[9] + 
             a[7]*a[10] + 120*a[1]^3*
             a[7]*a[10] + 1144*a[1]^10*
             a[16]) + 2*a[1]*(36*a[1]^2*
             a[9]^2 + 12*a[1]*a[8]*
             a[10] + 90*a[1]^3*a[8]*
             a[10] + 3*a[7]*a[11] + 
             198*a[1]^4*a[7]*a[11] + 
             442*a[1]^11*a[17]))) + 
          12*a[1]^2*a[8]*a[18] + 
          56*a[1]^6*a[8]*a[18] + 
          306*a[1]^16*a[8]*a[18] + 
          72*a[2]^7*(5*a[5]^2*a[10] + 
            (1 + 10*a[1])*a[9]*a[10] + 
            2002*a[1]^5*a[5]*a[14] + 
            11*a[1]^2*(5*a[8]*a[11] + 
             20*a[1]*a[7]*a[12] + 
             65*a[1]^2*a[6]*a[13] + 
             442*a[1]^8*a[18])) + 
          12*a[1]^2*a[7]*a[19] + 
          42*a[1]^5*a[7]*a[19] + 
          342*a[1]^17*a[7]*a[19] + 
          28*a[2]^6*(9*a[6]^2*a[9] + 
            90*a[1]^2*a[10]^2 + 
            495*a[1]^2*a[5]^2*a[11] + 
            18*a[1]*a[9]*a[11] + 
            330*a[1]^3*a[9]*a[11] + 
            2*a[8]*a[12] + 990*a[1]^4*
             a[8]*a[12] + 2574*a[1]^5*
             a[7]*a[13] + 6*a[6]*
             (30*a[1]*a[5]*a[10] + 
             1001*a[1]^6*a[14]) + 
            18*a[5]*(a[7]*a[9] + 
             715*a[1]^7*a[15]) + 
            12597*a[1]^12*a[19]) + 
          4*a[3]^3*(35*a[5]^3*a[7] + 
            105*a[1]*a[7]^3 + 30*a[6]*
             a[7]*a[8] + 210*a[1]*a[6]*
             a[7]*a[8] + 840*a[1]^2*a[6]*
             a[7]*a[8] + 30*a[6]^2*
             a[9] + 1260*a[1]^3*a[6]^2*
             a[9] + 1260*a[1]^5*
             a[10]^2 + 630*a[1]^4*a[9]*
             a[11] + 2310*a[1]^6*a[9]*
             a[11] + 630*a[5]^2*
             (6*a[1]*a[2]^2*a[9] + 
             20*a[1]^3*a[2]*a[10] + 
             11*a[1]^5*a[11]) + 
            3960*a[1]*a[2]^7*a[12] + 
            280*a[1]^3*a[8]*a[12] + 
            3960*a[1]^7*a[8]*a[12] + 
            60060*a[1]^3*a[2]^6*a[13] + 
            105*a[1]^2*a[7]*a[13] + 
            6435*a[1]^8*a[7]*a[13] + 
            252252*a[1]^5*a[2]^5*a[14] + 
            30*a[1]*a[6]*a[14] + 
            10010*a[1]^9*a[6]*a[14] + 
            630*a[2]^4*(a[7]*a[9] + 
             10*a[1]*a[6]*a[10] + 
             715*a[1]^7*a[15]) + 
            5*a[5]*(168*a[1]^2*a[8]^2 + 
             42*a[1]*a[7]*a[9] + 
             504*a[1]^3*a[7]*a[9] + 
             252*a[2]^5*a[10] + 6*a[6]*a[
             10] + 1260*a[1]^4*a[6]*a[
             10] + 6930*a[1]^2*a[2]^4*a[
             11] + 27720*a[1]^4*a[2]^3*a[
             12] + 84*a[2]^2*(2*a[6]*
             a[8] + 429*a[1]^6*a[13]) + 
             42*a[2]*((1 + 8*a[1])*a[7]*
             a[8] + 36*a[1]^2*a[6]*
             a[9] + 429*a[1]^8*a[14]) + 
             a[15] + 3003*a[1]^10*a[
             15]) + 280*a[2]^3*
             ((1 + 9*a[1])*a[8]*a[9] + 
             5*a[1]^2*(9*a[7]*a[10] + 
             33*a[1]*a[6]*a[11] + 
             286*a[1]^7*a[16])) + 
            105*a[2]^2*(36*a[1]^2*a[9]^
             2 + 8*a[1]*a[8]*a[10] + 
             120*a[1]^3*a[8]*a[10] + 
             a[7]*a[11] + 330*a[1]^4*a[
             7]*a[11] + 792*a[1]^5*a[6]*
             a[12] + 1768*a[1]^11*a[
             17]) + 30*a[2]*
             (28*a[1]*a[6]^2*a[8] + 
             a[6]*(7*a[7]^2 + a[13] + 
             1716*a[1]^7*a[13]) + 
             7*a[1]*(12*a[1]^2*a[9]*
             a[10] + 30*a[1]^3*a[9]*
             a[10] + 4*a[1]*a[8]*a[11] + 
             66*a[1]^4*a[8]*a[11] + 
             a[7]*a[12] + 132*a[1]^5*
             a[7]*a[12] + 204*a[1]^12*
             a[18])) + a[19] + 
            3876*a[1]^15*a[19]) + 
          12*a[1]^2*a[6]*a[20] + 
          30*a[1]^4*a[6]*a[20] + 
          380*a[1]^18*a[6]*a[20] + 
          6*a[2]^5*(28*a[7]^2*a[8] + 
            1260*a[1]^2*a[6]^2*a[10] + 
            7*a[7]*(72*a[1]*a[6]*a[9] + 
             360*a[1]^2*a[5]*a[10] + 
             a[14] + 3432*a[1]^7*a[
             14]) + 7*a[6]*(8*a[8]^2 + 
             165*(8*a[1]^3*a[5]*a[11] + 
             39*a[1]^8*a[15])) + 
            2*(6930*a[1]^4*a[5]^2*a[
             12] + 28*a[5]*((1 + 9*a[1])*
             a[8]*a[9] + 1430*a[1]^9*
             a[16]) + a[1]*(420*a[1]^2*
             a[10]*a[11] + 1155*a[1]^3*
             a[10]*a[11] + 126*a[1]*a[9]*
             a[12] + 2772*a[1]^4*a[9]*
             a[12] + 28*a[8]*a[13] + 
             6006*a[1]^5*a[8]*a[13] + 
             19380*a[1]^13*a[20]))) + 
          12*a[1]^2*a[5]*a[21] + 
          20*a[1]^3*a[5]*a[21] + 
          420*a[1]^19*a[5]*a[21] + 
          15*a[2]^4*(168*a[1]*a[5]^3*
             a[9] + 14*(1 + 18*a[1]^2)*
             a[7]^2*a[9] + 112*a[1]*a[6]*
             a[8]*a[9] + 504*a[1]^2*a[6]*
             a[8]*a[9] + 2310*a[1]^4*
             a[6]^2*a[11] + 924*a[1]^5*
             a[11]^2 + 420*a[1]^4*a[10]*
             a[12] + 1848*a[1]^6*a[10]*
             a[12] + 168*a[1]^3*a[9]*
             a[13] + 3432*a[1]^7*a[9]*
             a[13] + 28*a[5]^2*
             (2*a[6]*a[8] + 429*a[1]^6*a[
             13]) + 56*a[1]^2*a[8]*
             a[14] + 6006*a[1]^8*a[8]*
             a[14] + 7*a[7]*
             ((1 + 16*a[1])*a[8]^2 + 
             2*((1 + 120*a[1]^3)*a[6]*
             a[10] + a[1]*(1 + 715*a[1]^
             8)*a[15])) + 2*a[6]*a[16] + 
            16016*a[1]^10*a[6]*a[16] + 
            14*a[5]*(36*a[1]^2*a[9]^2 + 
             8*a[1]*a[8]*a[10] + 
             120*a[1]^3*a[8]*a[10] + 
             a[7]*a[11] + 330*a[1]^4*a[
             7]*a[11] + 792*a[1]^5*a[6]*
             a[12] + 1768*a[1]^11*a[
             17]) + 6783*a[1]^16*
             a[21]) + 6*a[3]^2*
           (10*a[6]^4 + 105*a[2]^2*
             a[7]^3 + 560*a[2]^3*a[5]*
             a[7]*a[8] + 630*a[2]^4*
             a[5]^2*a[9] + 210*a[2]^2*
             a[5]*a[7]*a[9] + 252*a[2]^5*
             a[8]*a[9] + 5*a[5]*a[9]^2 + 
            140*a[2]^4*a[8]*a[10] + 
            10*a[5]*a[8]*a[10] + 
            10*a[5]*a[7]*a[11] + 
            a[11]^2 + 10*a[6]^2*
             (3*(2 + 7*a[1])*a[5]*a[7] + 
             28*a[2]^3*a[8] + 378*a[1]^
             2*a[2]^2*a[9] + 6*(1 + 
             105*a[1]^4)*a[2]*a[10] + 
             3*a[1]*(2 + 77*a[1]^5)*a[
             11]) + 110*a[2]^9*a[12] + 
            70*a[2]^3*a[7]*a[12] + 
            2*a[10]*a[12] + 10*a[5]^2*
             a[13] + 2*a[9]*a[13] + 
            252*a[1]^5*(55*a[2]^2*a[9]*a[
             11] + 10*a[2]*a[10]*a[11] + 
             220*a[2]^3*a[7]*a[12] + 
             a[9]*a[13] + 5*a[5]*(2*a[8]*
             a[10] + 143*a[2]^4*
             a[13])) + 2*a[8]*a[14] + 
            70*a[1]^4*(9*a[7]^2*a[9] + 
             18*a[5]*a[9]^2 + 180*a[2]*a[
             5]*a[7]*a[10] + 90*a[2]^2*
             a[10]^2 + 495*a[2]^2*a[5]^
             2*a[11] + 330*a[2]^3*a[8]*a[
             11] + 18*a[2]*a[9]*a[12] + 
             858*a[2]^7*a[14] + 2*a[8]*a[
             14]) + 15*a[1]^2*
             (420*a[2]^4*a[8]*a[10] + 
             168*a[2]^3*(5*a[5]^2 + 
             a[9])*a[10] + 7*a[7]*(
             a[8]^2 + 2*a[7]*a[9] + 
             2*a[5]*a[11]) + 56*a[2]^2*(
             9*a[5]*a[7]*a[9] + a[8]*
             a[12]) + 429*a[2]^8*a[13] + 
             14*a[2]*(4*a[7]^2*a[8] + 
             8*a[5]*a[8]*a[9] + a[7]*
             a[14])) + 660*a[1]^7*
             (a[11]^2 + 2*a[2]*(6*a[9]*
             a[12] + 13*a[2]*(3*a[7]*
             a[13] + 14*a[2]*a[5]*
             a[14]))) + 2*a[7]*a[15] + 
            210*a[1]^6*(22*a[5]*a[7]*a[
             11] + 22*a[2]*a[10]*a[11] + 
             132*a[2]*a[5]^2*a[12] + 
             132*a[2]^2*a[8]*a[12] + 
             2*a[10]*a[12] + 1001*a[2]^
             6*a[15]) + 70*a[1]^3*
             (4*(3*a[5]^3*a[9] + 2*a[5]*
             (9*a[2]*a[8]*a[9] + a[8]*
             a[10] + 99*a[2]^5*a[12]) + 
             a[2]*(30*a[2]^2*a[9]*
             a[10] + 9*a[2]*a[9]*a[11] + 
             2*a[8]*a[13])) + a[7]*(
             8*a[8]^2 + 330*a[2]^4*
             a[11] + a[15])) + 
            1430*a[1]^9*(a[9]*a[13] + 
             7*a[2]*(2*a[7]*a[14] + 
             15*a[2]*a[5]*a[15])) + 
            10*a[2]*a[5]*a[16] + 
            2*a[6]*(15*(1 + 28*a[1]^2)*
             a[5]^2*a[8] + 30*a[1]*a[8]*
             a[9] + 280*a[1]^3*a[8]*a[
             9] + 630*a[1]^4*a[8]*a[9] + 
             210*a[2]^6*a[10] + 
             30*a[1]*a[7]*a[10] + 
             105*a[1]^2*a[7]*a[10] + 
             1260*a[1]^5*a[7]*a[10] + 
             6930*a[1]^2*a[2]^5*a[11] + 
             34650*a[1]^4*a[2]^4*a[12] + 
             5*(1 + 6*a[1] + 792*a[1]^7)*
             a[5]*a[12] + 420*a[2]^3*(
             6*a[1]*a[5]*a[9] + 143*
             a[1]^6*a[13]) + 15*a[2]^2*(
             7*(1 + 8*a[1])*a[7]*a[8] + 
             840*a[1]^3*a[5]*a[10] + 
             a[14] + 3003*a[1]^8*
             a[14]) + 15*a[2]*(7*a[5]^2*
             a[7] + (1 + 56*a[1]^2)*
             a[8]^2 + 2*a[7]*a[9] + 
             14*a[1]*a[7]*a[9] + 168*
             a[1]^3*a[7]*a[9] + 
             2*(1 + 462*a[1]^5)*a[5]*
             a[11] + 2*a[1]*a[15] + 
             1001*a[1]^10*a[15]) + 
             a[16] + 15*a[1]^2*a[16] + 
             1820*a[1]^12*a[16]) + 
            2730*a[1]^11*(a[7]*a[15] + 
             16*a[2]*a[5]*a[16]) + 
            495*a[1]^8*(2*a[10]*a[12] + 
             13*(a[5]^2*a[13] + 2*a[2]*
             a[8]*a[13] + 56*a[2]^5*
             a[16])) + 2*a[5]*a[17] + 
            4760*a[1]^13*a[5]*a[17] + 
            2002*a[1]^10*(a[8]*a[14] + 
             170*a[2]^4*a[17]) + 
            185640*a[1]^12*a[2]^3*
             a[18] + 58140*a[1]^14*
             a[2]^2*a[19] + 2*a[2]*
             a[20] + 9690*a[1]^16*a[2]*
             a[20] + a[21] + 665*a[1]^18*
             a[21] + 2*a[1]*
             (105*a[5]^2*a[7]^2 + 
             280*a[2]*a[5]^3*a[8] + 
             210*a[2]*a[7]^2*a[8] + 
             630*a[2]^4*a[9]^2 + 
             1260*a[2]^5*a[7]*a[10] + 
             280*a[2]^3*a[8]*a[11] + 
             105*a[2]^2*a[7]*a[13] + 
             5*a[5]*(168*a[2]^2*a[8]^2 + 
             42*a[2]*a[7]*a[10] + 
             462*a[2]^6*a[11] + a[17]) + 
             a[21])) + 4*a[2]^3*
           (35*a[6]^3*a[7] + 420*a[1]^2*
             a[8]^3 + 210*a[1]*a[7]*a[8]*
             a[9] + 840*a[1]^2*a[7]*a[8]*
             a[9] + 2520*a[1]^3*a[7]*
             a[8]*a[9] + 4200*a[1]^3*
             a[5]^3*a[10] + 210*a[1]*
             a[7]^2*a[10] + 3150*a[1]^4*
             a[7]^2*a[10] + 2310*a[1]^6*
             a[11]*a[12] + 3960*a[1]^7*
             a[11]*a[12] + 30*a[6]^2*
             (28*a[1]*a[5]*a[8] + 
             a[12] + 462*a[1]^6*a[12]) + 
            1260*a[1]^5*a[10]*a[13] + 
            6435*a[1]^8*a[10]*a[13] + 
            630*a[1]^4*a[9]*a[14] + 
            10010*a[1]^9*a[9]*a[14] + 
            105*a[5]^2*((1 + 8*a[1])*a[
             7]*a[8] + 429*a[1]^8*a[
             14]) + 280*a[1]^3*a[8]*
             a[15] + 15015*a[1]^10*a[8]*
             a[15] + 105*a[1]^2*a[7]*
             a[16] + 21840*a[1]^11*a[7]*
             a[16] + 5*a[6]*
             (756*a[1]^2*a[5]^2*a[9] + 
             (3 + 504*a[1]^3)*a[9]^2 + 
             6*a[5]*(7*a[7]^2 + 
             (1 + 1716*a[1]^7)*a[13]) + 
             2*(3*(1 + 28*a[1]^2 + 
             210*a[1]^4)*a[8]*a[10] + 
             3*(1 + 7*a[1] + 462*a[1]^5)*
             a[7]*a[11] + a[1]*(3 + 
             3094*a[1]^11)*a[17])) + 
            5*a[5]*(504*a[1]^3*a[9]*a[
             10] + 1260*a[1]^4*a[9]*a[
             10] + 168*a[1]^2*a[8]*a[
             11] + 2772*a[1]^5*a[8]*a[
             11] + 42*a[1]*a[7]*a[12] + 
             5544*a[1]^6*a[7]*a[12] + 
             a[18] + 8568*a[1]^13*a[
             18]) + a[22] + 7315*a[1]^18*
             a[22]) + 3*a[2]^2*
           (35*a[5]^4*a[7] + 
            20*(3 + 28*a[1]^2)*a[6]^3*
             a[8] + 1120*a[1]^3*a[8]^2*
             a[9] + 1260*a[1]^4*a[8]^2*
             a[9] + 210*a[1]^2*a[7]*
             a[9]^2 + 2520*a[1]^4*a[7]*
             a[9]^2 + 420*a[1]^2*a[7]*
             a[8]*a[10] + 1120*a[1]^3*
             a[7]*a[8]*a[10] + 
            5040*a[1]^5*a[7]*a[8]*
             a[10] + 9240*a[1]^5*a[5]^3*
             a[11] + 420*a[1]^2*a[7]^2*
             a[11] + 4620*a[1]^6*a[7]^2*
             a[11] + 2*a[12]^2 + 
            1980*a[1]^8*a[12]^2 + 
            4*a[11]*a[13] + 1320*a[1]^7*
             a[11]*a[13] + 2860*a[1]^9*
             a[11]*a[13] + 30*a[6]^2*
             (2*(1 + 7*a[1])*a[7]^2 + 
             a[1]*(4 + 429*a[1]^7)*a[
             13]) + 4*a[10]*a[14] + 
            840*a[1]^6*a[10]*a[14] + 
            4004*a[1]^10*a[10]*a[14] + 
            4*a[9]*a[15] + 504*a[1]^5*
             a[9]*a[15] + 5460*a[1]^11*
             a[9]*a[15] + 10*a[5]^2*
             (168*a[1]^2*a[8]^2 + 
             42*a[1]*a[7]*a[9] + 
             504*a[1]^3*a[7]*a[9] + 
             6*a[6]*a[10] + 1260*a[1]^4*
             a[6]*a[10] + 2*a[15] + 
             3003*a[1]^10*a[15]) + 
            4*a[8]*a[16] + 280*a[1]^4*
             a[8]*a[16] + 7280*a[1]^12*
             a[8]*a[16] + 4*a[7]*a[17] + 
            140*a[1]^3*a[7]*a[17] + 
            9520*a[1]^13*a[7]*a[17] + 
            4*a[6]*(630*a[1]^4*a[9]*a[
             10] + 1260*a[1]^5*a[9]*a[
             10] + 280*a[1]^3*a[8]*a[
             11] + 2310*a[1]^6*a[8]*a[
             11] + 3960*a[1]^7*a[7]*a[
             12] + 30*a[1]*(a[9]*a[10] + 
             a[8]*a[11] + a[7]*a[12]) + 
             a[18] + 3060*a[1]^14*a[
             18] + 15*a[1]^2*(7*a[7]*
             a[12] + a[18])) + 
            2*a[5]*(60*a[6]^2*a[9] + 
             5*a[10]^2 + 2520*a[1]^5*
             a[10]^2 + 10*a[9]*a[11] + 
             1260*a[1]^4*a[9]*a[11] + 
             4620*a[1]^6*a[9]*a[11] + 
             10*a[8]*a[12] + 7920*a[1]^
             7*a[8]*a[12] + 280*a[1]^3*(
             9*a[6]^2*a[9] + 2*a[8]*
             a[12]) + 10*a[7]*a[13] + 
             12870*a[1]^8*a[7]*a[13] + 
             210*a[1]^2*a[7]*(8*a[6]*
             a[8] + a[13]) + 20020*a[1]^
             9*a[6]*a[14] + 10*a[6]*(
             6*a[7]*a[8] + a[14]) + 
             2*a[19] + 7752*a[1]^15*a[
             19] + 10*a[1]*(21*a[7]^3 + 
             42*a[6]*a[7]*a[8] + 6*a[6]*
             a[14] + a[19])) + 
            4*a[1]*a[23] + 1771*a[1]^20*
             a[23]) + a[3]*
           (210*a[1]*a[5]^4*a[7] + 
            360*a[1]*a[6]^2*a[7]^2 + 
            1260*a[1]^2*a[6]^2*a[7]^2 + 
            360*a[1]*a[6]^3*a[8] + 
            1120*a[1]^3*a[6]^3*a[8] + 
            12*a[8]^2*a[9] + 1680*a[1]^4*
             a[8]^2*a[9] + 1512*a[1]^5*
             a[8]^2*a[9] + 12*a[7]*
             a[9]^2 + 420*a[1]^3*a[7]*
             a[9]^2 + 3024*a[1]^5*a[7]*
             a[9]^2 + 24*a[7]*a[8]*
             a[10] + 840*a[1]^3*a[7]*
             a[8]*a[10] + 1680*a[1]^4*
             a[7]*a[8]*a[10] + 
            5040*a[1]^6*a[7]*a[8]*
             a[10] + 24*a[6]*a[9]*
             a[10] + 360*a[1]^2*a[6]*
             a[9]*a[10] + 3024*a[1]^5*
             a[6]*a[9]*a[10] + 
            5040*a[1]^6*a[6]*a[9]*
             a[10] + 12*a[7]^2*a[11] + 
            840*a[1]^3*a[7]^2*a[11] + 
            3960*a[1]^7*a[7]^2*a[11] + 
            24*a[6]*a[8]*a[11] + 
            360*a[1]^2*a[6]*a[8]*a[11] + 
            1680*a[1]^4*a[6]*a[8]*
             a[11] + 7920*a[1]^7*a[6]*
             a[8]*a[11] + 20*a[5]^3*
             (6*a[6]^2 + 56*a[2]^3*a[
             8] + 756*a[1]^2*a[2]^2*a[
             9] + 1260*a[1]^4*a[2]*a[
             10] + 3*(1 + 154*a[1]^6)*a[
             11]) + 24*a[6]*a[7]*a[12] + 
            360*a[1]^2*a[6]*a[7]*a[12] + 
            840*a[1]^3*a[6]*a[7]*a[12] + 
            11880*a[1]^8*a[6]*a[7]*
             a[12] + 3*a[12]^2 + 
            12*a[1]*a[12]^2 + 
            1320*a[1]^9*a[12]^2 + 
            1716*a[1]*a[2]^10*a[13] + 
            12*a[6]^2*a[13] + 360*a[1]^2*
             a[6]^2*a[13] + 8580*a[1]^9*
             a[6]^2*a[13] + 6*a[11]*
             a[13] + 24*a[1]*a[11]*
             a[13] + 990*a[1]^8*a[11]*
             a[13] + 1716*a[1]^10*a[11]*
             a[13] + 40040*a[1]^3*a[2]^9*
             a[14] + 6*a[10]*a[14] + 
            24*a[1]*a[10]*a[14] + 
            720*a[1]^7*a[10]*a[14] + 
            2184*a[1]^11*a[10]*a[14] + 
            270270*a[1]^5*a[2]^8*a[15] + 
            6*a[9]*a[15] + 24*a[1]*a[9]*
             a[15] + 504*a[1]^6*a[9]*
             a[15] + 2730*a[1]^12*a[9]*
             a[15] + 12*a[5]^2*
             (5*(1 + 56*a[1]^3)*a[8]^2 + 
             10*a[7]*a[9] + 105*a[1]^2*a[
             7]*a[9] + 630*a[1]^4*a[7]*a[
             9] + 1260*a[1]*a[2]^5*a[
             10] + 10*a[6]*a[10] + 
             30*a[1]*a[6]*a[10] + 
             1260*a[1]^5*a[6]*a[10] + 
             11550*a[1]^3*a[2]^4*a[11] + 
             27720*a[1]^5*a[2]^3*a[12] + 
             15*a[2]^2*(7*a[7]^2 + 
             56*a[1]*a[6]*a[8] + 1716*
             a[1]^7*a[13]) + 10*a[2]*(
             21*a[1]*a[7]*a[8] + 
             84*a[1]^2*a[7]*a[8] + 
             3*a[6]*a[9] + 252*a[1]^3*
             a[6]*a[9] + a[14] + 1001*
             a[1]^9*a[14]) + a[15] + 
             10*a[1]*a[15] + 1365*a[1]^
             11*a[15]) + 6*a[8]*a[16] + 
            24*a[1]*a[8]*a[16] + 
            336*a[1]^5*a[8]*a[16] + 
            3360*a[1]^13*a[8]*a[16] + 
            720*a[2]^7*(a[7]*a[10] + 
             11*a[1]*a[6]*a[11] + 
             1144*a[1]^7*a[16]) + 
            6*a[7]*a[17] + 24*a[1]*a[7]*
             a[17] + 210*a[1]^4*a[7]*
             a[17] + 4080*a[1]^14*a[7]*
             a[17] + 56*a[2]^6*
             (9*a[9]^2 + 5*a[1]*(18*a[8]*
             a[10] + 11*a[1]*(9*a[7]*
             a[11] + 36*a[1]*a[6]*
             a[12] + 442*a[1]^7*
             a[17]))) + 6*a[6]*a[18] + 
            24*a[1]*a[6]*a[18] + 
            120*a[1]^3*a[6]*a[18] + 
            4896*a[1]^15*a[6]*a[18] + 
            336*a[2]^5*(9*a[1]*a[9]*a[
             10] + 45*a[1]^2*a[9]*a[
             10] + a[8]*a[11] + 165*a[1]^
             3*a[8]*a[11] + 495*a[1]^4*a[
             7]*a[12] + 1287*a[1]^5*a[6]*
             a[13] + 3978*a[1]^11*a[
             18]) + 210*a[2]^4*
             (36*a[1]*a[6]^2*a[9] + 
             120*a[1]^3*a[10]^2 + 
             36*a[1]^2*a[9]*a[11] + 
             330*a[1]^4*a[9]*a[11] + 
             8*a[1]*a[8]*a[12] + 
             792*a[1]^5*a[8]*a[12] + 
             a[7]*a[13] + 1716*a[1]^6*a[
             7]*a[13] + 8*a[6]*(a[7]*
             a[8] + 429*a[1]^7*a[14]) + 
             3876*a[1]^13*a[19]) + 
            2*a[5]*(10*(1 + 63*a[1]^2)*
             a[7]^3 + 495*a[2]^8*a[11] + 
             23760*a[1]^2*a[2]^7*a[12] + 
             180180*a[1]^4*a[2]^6*a[
             13] + 12*a[7]*(5*(1 + 
             6*a[1] + 21*a[1]^2 + 
             56*a[1]^3)*a[6]*a[8] + 
             (1 + 5*a[1] + 35*a[1]^3 + 
             715*a[1]^9)*a[13]) + 
             504*a[2]^5*(3*a[6]*a[9] + 
             1001*a[1]^6*a[14]) + 
             105*a[2]^4*(8*a[8]^2 + 
             9*a[1]*(8*a[7]*a[9] + 
             40*a[1]*a[6]*a[10] + 715*
             a[1]^7*a[15])) + 420*a[2]^
             3*(8*a[1]*a[8]*a[9] + 
             36*a[1]^2*a[8]*a[9] + 
             a[7]*a[10] + 120*a[1]^3*
             a[7]*a[10] + 330*a[1]^4*
             a[6]*a[11] + 1144*a[1]^10*
             a[16]) + 30*a[2]^2*(
             21*a[6]^2*a[7] + 504*a[1]^3*
             a[9]^2 + 168*a[1]^2*a[8]*
             a[10] + 1260*a[1]^4*a[8]*
             a[10] + 42*a[1]*a[7]*
             a[11] + 2772*a[1]^5*a[7]*
             a[11] + 6*(1 + 924*a[1]^6)*
             a[6]*a[12] + a[17] + 
             6188*a[1]^12*a[17]) + 
             12*a[2]*(30*(1 + 14*a[1]^2)*
             a[6]^2*a[8] + 5*(1 + 126*
             a[1]^4 + 252*a[1]^5)*a[9]*
             a[10] + 5*a[8]*a[11] + 
             280*a[1]^3*a[8]*a[11] + 
             2310*a[1]^6*a[8]*a[11] + 
             5*a[7]*a[12] + 105*a[1]^2*
             a[7]*a[12] + 3960*a[1]^7*
             a[7]*a[12] + 5*a[6]*
             ((3 + 42*a[1])*a[7]^2 + 
             (1 + 6*a[1] + 1287*a[1]^8)*
             a[13]) + a[18] + 5*a[1]*
             a[18] + 3060*a[1]^14*
             a[18]) + 3*(10*(1 + 12*
             a[1] + 126*a[1]^4)*a[6]^2*
             a[9] + 2*(1 + 5*a[1] + 
             420*a[1]^6)*a[10]^2 + 
             4*a[9]*a[11] + 20*a[1]*a[9]*
             a[11] + 504*a[1]^5*a[9]*
             a[11] + 1320*a[1]^7*a[9]*
             a[11] + 4*a[8]*a[12] + 
             20*a[1]*a[8]*a[12] + 
             280*a[1]^4*a[8]*a[12] + 
             1980*a[1]^8*a[8]*a[12] + 
             4*(1 + 5*a[1] + 15*a[1]^2 + 
             1001*a[1]^10)*a[6]*a[14] + 
             a[19] + 4*a[1]*a[19] + 
             10*a[1]^2*a[19] + 969*
             a[1]^16*a[19])) + 
            120*a[2]^3*(7*(1 + 4*a[1])*
             a[7]^2*a[8] + 56*a[1]*a[6]*
             a[8]^2 + 210*a[1]^4*a[10]*a[
             11] + 462*a[1]^5*a[10]*a[
             11] + 924*a[1]^6*a[9]*a[
             12] + 84*a[1]^3*(5*a[6]^2*
             a[10] + a[9]*a[12]) + 
             28*a[1]^2*a[8]*a[13] + 
             1716*a[1]^7*a[8]*a[13] + 
             7*a[7]*((1 + 36*a[1]^2)*
             a[6]*a[9] + a[1]*(1 + 
             429*a[1]^7)*a[14]) + 
             a[6]*a[15] + 5005*a[1]^9*a[
             6]*a[15] + 2584*a[1]^15*a[
             20]) + 12*a[2]^2*
             (30*a[6]*(a[8]*a[9] + 
             a[7]*a[10]) + 30*a[6]^2*a[
             11] + 2310*a[1]^6*a[11]^2 + 
             3960*a[1]^7*a[10]*a[12] + 
             630*a[1]^5*(11*a[6]^2*
             a[11] + 2*a[10]*a[12]) + 
             6435*a[1]^8*a[9]*a[13] + 
             630*a[1]^4*(10*a[6]*a[7]*
             a[10] + a[9]*a[13]) + 
             10010*a[1]^9*a[8]*a[14] + 
             140*a[1]^3*(9*a[7]^2*a[9] + 
             2*a[8]*(9*a[6]*a[9] + 
             a[14])) + 15015*a[1]^10*a[
             7]*a[15] + 105*a[1]^2*(
             8*a[6]*a[8]*a[9] + a[7]*
             (8*a[8]^2 + a[15])) + 
             21840*a[1]^11*a[6]*a[16] + 
             15*a[1]*(14*a[7]^2*a[9] + 
             7*a[7]*(a[8]^2 + 2*a[6]*
             a[10]) + 2*a[6]*a[16]) + 
             a[21] + 5985*a[1]^17*a[
             21]) + 6*a[2]*(20*(3 + 
             7*a[1])*a[6]^3*a[7] + 
             420*a[1]^2*a[7]*(a[8]*
             a[9] + a[7]*a[10]) + 
             120*a[1]*(1 + 66*a[1]^6)*
             a[6]^2*a[12] + 4*a[11]*a[
             12] + 1320*a[1]^7*a[11]*a[
             12] + 1980*a[1]^8*a[11]*a[
             12] + 4*a[10]*a[13] + 
             840*a[1]^6*a[10]*a[13] + 
             2860*a[1]^9*a[10]*a[13] + 
             4*a[9]*a[14] + 4004*a[1]^10*
             a[9]*a[14] + 504*a[1]^5*(
             5*a[7]^2*a[10] + a[9]*
             a[14]) + 4*a[8]*a[15] + 
             5460*a[1]^11*a[8]*a[15] + 
             280*a[1]^4*a[8]*(9*a[7]*
             a[9] + a[15]) + 4*a[7]*a[
             16] + 7280*a[1]^12*a[7]*a[
             16] + 140*a[1]^3*(4*a[8]^
             3 + 8*a[7]*a[8]*a[9] + 
             a[7]*a[16]) + 4*a[6]*(
             630*a[1]^4*a[9]^2 + 280*
             a[1]^3*a[8]*a[10] + 1260*
             a[1]^5*a[8]*a[10] + 2310*
             a[1]^6*a[7]*a[11] + 15*a[1]*
             (a[9]^2 + 2*a[8]*a[10] + 
             2*a[7]*a[11]) + a[17] + 
             2380*a[1]^13*a[17] + 
             15*a[1]^2*(7*a[7]*a[11] + 
             a[17])) + a[22] + 4*a[1]*a[
             22] + 1540*a[1]^19*a[22]) + 
            6*a[1]*a[23] + 12*a[1]^2*
             a[23] + 506*a[1]^21*
             a[23]) + 2*a[2]*
           (420*a[1]^2*a[5]^4*a[8] + 
            6*a[8]*a[9]^2 + 6*a[8]^2*
             a[10] + 12*a[7]*a[9]*
             a[10] + 6*a[6]*a[10]^2 + 
            12*a[7]*a[8]*a[11] + 
            12*a[6]*a[9]*a[11] + 
            6*a[7]^2*a[12] + 12*a[6]*
             a[8]*a[12] + 30*a[5]^3*
             (2*(1 + 7*a[1])*a[6]*a[7] + 
             (1 + 264*a[1]^7)*a[12]) + 
            12*a[6]*a[7]*a[13] + 
            660*a[1]^9*(13*a[6]*a[7] + 
             a[12])*a[13] + 6*a[6]^2*
             a[14] + 1092*a[1]^11*a[11]*
             a[14] + 858*a[1]^10*
             (a[12]*a[13] + 7*a[6]^2*a[
             14]) + 495*a[1]^8*
             (6*a[7]^2*a[12] + 12*a[6]*a[
             8]*a[12] + a[11]*a[14]) + 
            1365*a[1]^12*a[10]*a[15] + 
            360*a[1]^7*(11*a[7]*a[8]*a[
             11] + 11*a[6]*a[9]*a[11] + 
             a[10]*a[15]) + 1680*a[1]^13*
             a[9]*a[16] + 6*a[5]^2*
             (15*a[6]^3 + 10*(1 + 
             28*a[1]^3 + 63*a[1]^4)*a[8]*
             a[9] + 10*a[7]*a[10] + 
             105*a[1]^2*a[7]*a[10] + 
             1260*a[1]^5*a[7]*a[10] + 
             10*(1 + 3*a[1] + 231*a[1]^
             6)*a[6]*a[11] + a[16] + 
             10*a[1]*a[16] + 1820*a[1]^
             12*a[16]) + 252*a[1]^6*
             (5*a[8]^2*a[10] + 10*a[7]*a[
             9]*a[10] + 10*a[6]*a[10]^
             2 + a[9]*a[16]) + 
            2040*a[1]^14*a[8]*a[17] + 
            168*a[1]^5*(9*a[9]*(a[7]*
             a[10] + a[6]*a[11]) + 
             a[8]*(9*a[9]^2 + a[17])) + 
            2448*a[1]^15*a[7]*a[18] + 
            105*a[1]^4*(12*a[6]^3*a[9] + 
             8*a[8]^2*a[10] + 4*a[8]*(
             a[9]^2 + 2*a[7]*a[11]) + 
             8*a[6]*a[8]*a[12] + 
             a[7]*a[18]) + 2907*a[1]^16*
             a[6]*a[19] + 12*a[1]*
             (30*a[6]^2*a[7]*a[8] + 
             15*a[6]^3*a[9] + a[12]*a[
             13] + a[11]*a[14] + 
             a[10]*a[15] + a[9]*a[16] + 
             a[8]*a[17] + a[7]*a[18] + 
             a[6]*(5*a[7]^3 + a[19])) + 
            60*a[1]^3*(28*a[6]^2*a[7]*a[
             8] + 7*a[7]*(a[9]*a[10] + 
             a[8]*a[11] + a[7]*a[12]) + 
             a[6]*(7*a[7]*a[13] + 
             a[19])) + 6*a[5]*
             (5*(1 + 42*a[1]^2 + 
             56*a[1]^3)*a[7]^2*a[8] + 
             5*(1 + 12*a[1] + 252*a[1]^
             5)*a[6]^2*a[10] + 2*a[10]*a[
             11] + 10*a[1]*a[10]*a[11] + 
             420*a[1]^6*a[10]*a[11] + 
             660*a[1]^7*a[10]*a[11] + 
             2*a[9]*a[12] + 10*a[1]*a[9]*
             a[12] + 252*a[1]^5*a[9]*a[
             12] + 990*a[1]^8*a[9]*a[
             12] + 2*a[8]*a[13] + 
             10*a[1]*a[8]*a[13] + 
             140*a[1]^4*a[8]*a[13] + 
             1430*a[1]^9*a[8]*a[13] + 
             2*a[7]*(5*(1 + 6*a[1] + 
             21*a[1]^2 + 126*a[1]^4)*
             a[6]*a[9] + (1 + 5*a[1] + 
             35*a[1]^3 + 1001*a[1]^10)*
             a[14]) + a[6]*(5*(1 + 
             6*a[1] + 112*a[1]^3)*a[8]^
             2 + 2*(1 + 5*a[1] + 15*
             a[1]^2 + 1365*a[1]^11)*
             a[15]) + 2*a[1]*a[20] + 
             5*a[1]^2*a[20] + 570*a[1]^
             17*a[20]) + a[24] + 
            276*a[1]^22*a[24] + 
            6*a[1]^2*(15*a[6]*(7*a[7]^
             3 + a[10]^2 + 2*a[9]*
             a[11] + 2*a[8]*a[12] + 
             2*a[7]*a[13]) + 15*a[6]^2*(
             7*a[7]*a[8] + 2*a[14]) + 
             a[24])) + 4*a[1]^3*a[25] + 
          25*a[1]^24*a[25]) + 
        2*a[2]^2*a[26] + 325*a[1]^24*
         a[2]^2*a[26] + a[3]*
         (6*a[5]^5*a[6] + 420*a[2]^3*
           a[6]^2*a[7]^2 + 60*a[2]^2*
           a[6]*a[7]^3 + 360*a[2]^2*
           a[6]^2*a[7]*a[8] + 336*a[2]^5*
           a[7]*a[8]^2 + 180*a[2]^2*
           a[6]^3*a[9] + 504*a[2]^6*a[6]*
           a[7]*a[9] + 336*a[2]^5*a[6]*
           a[8]*a[9] + 210*a[2]^4*a[7]*
           a[8]*a[9] + 210*a[2]^4*a[7]^2*
           a[10] + 90*a[2]^8*a[9]*
           a[10] + 120*a[2]^3*a[6]*a[9]*
           a[10] + 3*a[9]^2*a[10] + 
          3*a[8]*a[10]^2 + 20*a[5]^4*
           (42*a[1]*a[2]^2*a[8] + 
            126*a[1]^3*a[2]*a[9] + 
            a[10] + 63*a[1]^5*a[10]) + 
          110*a[2]^9*a[7]*a[11] + 
          210*a[2]^4*a[6]*a[7]*a[11] + 
          120*a[2]^3*a[6]*a[8]*a[11] + 
          72*a[2]^7*a[9]*a[11] + 
          6*a[8]*a[9]*a[11] + 
          6*a[7]*a[10]*a[11] + 
          3*a[6]*a[11]^2 + 120*a[2]^3*
           a[6]*a[7]*a[12] + 3*a[8]^2*
           a[12] + 6*a[7]*a[9]*a[12] + 
          6*a[6]*a[10]*a[12] + 
          120*a[2]^3*a[6]^2*a[13] + 
          56*a[2]^6*a[8]*a[13] + 
          6*a[7]*a[8]*a[13] + 
          6*a[6]*a[9]*a[13] + 
          3*a[2]*a[13]^2 + 3*a[7]^2*
           a[14] + 6*a[6]*a[8]*a[14] + 
          6*a[2]*a[12]*a[14] + 
          4*a[5]^3*(5*(3 + 21*a[1]^2 + 
             56*a[1]^3)*a[7]*a[8] + 
            126*a[2]^5*a[9] + 15*a[6]*
             a[9] + 30*a[1]*a[6]*a[9] + 
            630*a[1]^4*a[6]*a[9] + 
            3150*a[1]^2*a[2]^4*a[10] + 
            11550*a[1]^4*a[2]^3*a[11] + 
            105*a[2]^2*(a[6]*a[7] + 
             132*a[1]^6*a[12]) + 
            15*a[2]*(14*a[1]*a[7]^2 + 
             2*a[6]*a[8] + 56*a[1]^2*a[
             6]*a[8] + a[13] + 429*a[1]^
             8*a[13]) + 15*a[1]*a[14] + 
            1001*a[1]^10*a[14]) + 
          42*a[2]^5*a[7]*a[15] + 
          6*a[6]*a[7]*a[15] + 
          6*a[2]*a[11]*a[15] + 
          3*a[6]^2*a[16] + 6*a[2]*a[10]*
           a[16] + 132*a[1]^10*
           (13*a[6]*a[9]*a[13] + 
            13*a[2]*a[13]^2 + 91*a[2]^2*
             a[11]*a[14] + 455*a[2]^3*
             a[9]*a[15] + a[12]*a[15] + 
            13*a[7]*(a[8]*a[13] + 
             14*a[2]*a[6]*a[14] + 
             140*a[2]^4*a[16])) + 
          30*a[2]^4*a[6]*a[17] + 
          6*a[2]*a[9]*a[17] + 90*a[1]^8*
           (11*a[6]*a[11]^2 + 132*a[2]*
             a[6]*a[9]*a[12] + 
            11*a[8]*(a[9]*a[11] + 
             12*a[2]*a[7]*a[12]) + 
            286*a[2]^3*a[11]*a[13] + 
            66*a[2]^2*a[12]*a[13] + 
            1001*a[2]^4*a[9]*a[14] + 
            11*a[2]*a[11]*a[15] + 
            11*a[7]*(a[10]*a[11] + 
             78*a[2]^2*a[6]*a[13] + 
             273*a[2]^5*a[15]) + 
            a[10]*a[17]) + 182*a[1]^12*
           (a[13]*a[14] + 
            5*(3*a[6]*a[7]*a[15] + 
             a[2]*(3*a[11]*a[15] + 
             24*a[2]*a[9]*a[16] + 
             136*a[2]^2*a[7]*a[17]))) + 
          6*a[2]*a[8]*a[18] + 
          3*a[5]^2*(20*(1 + 6*a[1] + 
             28*a[1]^3)*a[6]^2*a[8] + 
            40*a[1]*a[9]*a[10] + 
            504*a[1]^5*a[9]*a[10] + 
            840*a[1]^6*a[9]*a[10] + 
            1320*a[1]*a[2]^7*a[11] + 
            40*a[1]*a[8]*a[11] + 
            280*a[1]^4*a[8]*a[11] + 
            1320*a[1]^7*a[8]*a[11] + 
            18480*a[1]^3*a[2]^6*a[12] + 
            40*a[1]*a[7]*a[12] + 
            140*a[1]^3*a[7]*a[12] + 
            1980*a[1]^8*a[7]*a[12] + 
            72072*a[1]^5*a[2]^5*a[13] + 
            20*a[6]*((1 + 3*a[1] + 
             21*a[1]^2)*a[7]^2 + 
             a[1]*(2 + 3*a[1] + 143*
             a[1]^8)*a[13]) + 280*a[2]^4*
             (a[7]*a[8] + 9*a[1]*a[6]*a[
             9] + 429*a[1]^7*a[14]) + 
            140*a[2]^3*(8*a[1]*a[8]^2 + 
             a[7]*a[9] + 36*a[1]^2*a[7]*
             a[9] + 120*a[1]^3*a[6]*a[
             10] + 715*a[1]^9*a[15]) + 
            20*a[2]^2*(84*a[1]^2*a[8]*a[
             9] + 252*a[1]^3*a[8]*a[9] + 
             21*a[1]*a[7]*a[10] + 
             630*a[1]^4*a[7]*a[10] + 
             3*a[6]*a[11] + 1386*a[1]^5*
             a[6]*a[11] + a[16] + 
             2184*a[1]^11*a[16]) + 
            20*a[2]*(3*(2 + 7*a[1])*a[6]^
             2*a[7] + (1 + 126*a[1]^4)*
             a[9]^2 + 2*a[8]*a[10] + 
             56*a[1]^3*a[8]*a[10] + 
             252*a[1]^5*a[8]*a[10] + 
             2*a[7]*a[11] + 21*a[1]^2*a[
             7]*a[11] + 462*a[1]^6*a[7]*
             a[11] + 2*(1 + 3*a[1] + 
             396*a[1]^7)*a[6]*a[12] + 
             2*a[1]*a[17] + 476*a[1]^13*
             a[17]) + a[18] + 20*a[1]^2*
             a[18] + 816*a[1]^15*
             a[18]) + 110*a[1]^9*
           (6*a[8]^2*a[12] + 12*a[7]*
             a[9]*a[12] + 12*a[6]*a[10]*
             a[12] + 78*a[2]*a[7]^2*
             a[13] + 78*a[2]^2*a[12]*
             a[13] + 546*a[2]^2*a[6]^2*
             a[14] + 364*a[2]^3*a[10]*
             a[14] + 12*a[2]*a[12]*
             a[14] + 39*a[8]*
             (4*a[2]*a[6]*a[13] + 
             35*a[2]^4*a[15]) + 
            4368*a[2]^5*a[6]*a[16] + 
            a[11]*a[16] + 3978*a[2]^8*
             a[18]) + 8*a[1]^7*
           (45*a[9]^2*a[10] + 495*a[2]*
             a[8]^2*a[11] + 18*a[8]*
             (5*a[10]^2 + 330*a[2]^2*a[
             6]*a[12] + 1001*a[2]^5*a[
             14]) + 5*(33*a[6]^3*a[11] + 
             18*a[7]*a[10]*a[11] + 
             594*a[2]^2*a[7]^2*a[12] + 
             396*a[2]^3*a[12]^2 + 
             2574*a[2]^3*a[6]^2*a[13] + 
             1287*a[2]^4*a[10]*a[13] + 
             99*a[2]^2*a[11]*a[14] + 
             9*a[6]*(22*a[2]*a[10]*
             a[11] + 2*a[10]*a[12] + 
             1001*a[2]^6*a[15]) + 
             18*a[2]*a[10]*a[16] + 
             4862*a[2]^9*a[17]) + 
            9*a[9]*(110*a[2]*a[7]*a[
             11] + a[18])) + 240*a[1]^14*
           (a[11]*a[16] + 17*a[2]*
             (a[9]*a[17] + 9*a[2]*a[7]*a[
             18])) + 6*a[2]*a[7]*a[19] + 
          156*a[1]^11*(7*a[7]^2*a[14] + 
            14*a[2]*a[12]*a[14] + 
            a[13]*a[14] + 105*a[2]*
             a[6]^2*a[15] + 105*a[2]^2*
             a[10]*a[15] + 560*a[2]^3*
             a[8]*a[16] + 14*a[6]*
             (a[8]*a[14] + 170*a[2]^4*a[
             17]) + 3876*a[2]^7*a[19]) + 
          306*a[1]^16*(a[9]*a[18] + 
            19*a[2]*a[7]*a[19]) + 
          56*a[1]^6*(45*a[6]^2*a[7]*
             a[10] + 9*a[9]^2*a[10] + 
            9*a[8]*a[9]*a[11] + 
            9*a[7]*a[9]*a[12] + 
            495*a[2]^4*a[11]*a[12] + 
            1287*a[2]^5*a[9]*a[13] + 
            165*a[2]^3*a[11]*a[13] + 
            9*a[6]*(55*a[2]^2*a[9]*a[
             11] + 10*a[2]*a[10]*a[11] + 
             220*a[2]^3*a[7]*a[12] + 
             a[9]*a[13]) + 3003*a[2]^6*
             a[7]*a[14] + 45*a[2]^2*
             (11*a[7]*a[8]*a[11] + 
             a[10]*a[15]) + 9*a[2]*
             (10*a[8]*a[9]*a[10] + 
             10*a[7]*a[10]^2 + a[9]*a[
             17]) + a[8]*a[19]) + 
          6*a[2]*a[6]*a[20] + 
          380*a[1]^18*a[7]*a[20] + 
          42*a[1]^5*(120*a[2]*a[6]^3*
             a[10] + 4*a[8]*a[10]^2 + 
            8*a[8]*a[9]*a[11] + 
            8*a[8]^2*a[12] + 792*a[2]^5*
             a[10]*a[12] + 330*a[2]^4*
             a[11]*a[12] + 36*a[6]^2*
             (a[8]*a[9] + 55*a[2]^4*a[
             12]) + 1716*a[2]^6*a[8]*
             a[13] + 8*a[7]*a[8]*a[13] + 
            4*a[6]*(9*a[7]^2*a[9] + 
             90*a[2]^2*a[10]^2 + 
             330*a[2]^3*a[8]*a[11] + 
             18*a[2]*a[9]*a[12] + 
             858*a[2]^7*a[14] + 2*a[8]*a[
             14]) + 60*a[2]^3*
             (11*a[7]^2*a[11] + 
             2*a[10]*a[14]) + 
            1144*a[2]^10*a[16] + 
            36*a[2]^2*(5*a[8]^2*a[10] + 
             a[9]*(10*a[7]*a[10] + 
             a[16])) + 4*a[2]*
             (9*a[9]^3 + 18*a[9]*(
             a[8]*a[10] + a[7]*a[11]) + 
             2*a[8]*a[18]) + 
            a[7]*a[20]) + 20*a[1]^3*
           (462*a[2]^6*a[10]*a[11] + 
            792*a[2]^7*a[8]*a[12] + 
            126*a[2]^5*(11*a[6]^2*a[
             11] + 2*a[10]*a[12]) + 
            1287*a[2]^8*a[6]*a[13] + 
            126*a[2]^4*(5*a[7]^2*a[10] + 
             10*a[6]*a[8]*a[10] + 
             a[9]*a[14]) + 273*a[2]^11*
             a[15] + 28*a[2]^3*
             (9*a[8]^2*a[9] + 18*a[9]*(
             a[7]*a[9] + a[6]*a[10]) + 
             2*a[8]*a[16]) + 
            3*(7*a[7]^3*a[8] + 14*a[6]*
             a[7]^2*a[9] + a[6]*a[7]*(
             7*a[8]^2 + 7*a[6]*a[10] + 
             2*a[15]) + a[6]*(a[11]^2 + 
             2*(a[10]*a[12] + a[9]*
             a[13] + a[8]*a[14] + a[6]*
             a[16]))) + 21*a[2]^2*
             (12*a[6]^3*a[9] + 8*a[8]^2*
             a[10] + 4*a[8]*(a[9]^2 + 
             2*a[7]*a[11]) + 8*a[6]*a[8]*
             a[12] + a[7]*a[18]) + 
            3*a[2]*(56*a[6]^2*a[8]^2 + 
             7*a[7]*(a[10]^2 + 
             2*(a[9]*a[11] + a[8]*
             a[12] + a[7]*a[13])) + 
             2*a[6]*(28*a[7]^2*a[8] + 
             7*a[7]*a[14] + a[20]))) + 
          210*a[1]^13*(a[12]*a[15] + 
            8*(a[6]^2*a[16] + 102*a[2]^
             3*a[6]*a[18] + a[2]*(
             2*a[10]*a[16] + 17*a[2]*
             a[8]*a[17] + 323*a[2]^5*
             a[20]))) + 10*a[1]^4*
           (28*a[7]^3*a[8] + 21*a[7]^2*
             a[14] + 3*a[7]*
             (252*a[2]*a[6]^2*a[9] + 
             840*a[2]^3*a[8]*a[10] + 
             252*a[2]^2*a[9]*a[10] + 
             1716*a[2]^7*a[13] + 
             7*(a[10]*a[11] + a[9]*
             a[12] + a[8]*a[13]) + 
             7*a[6]*(8*a[8]^2 + 330*
             a[2]^4*a[11] + a[15]) + 
             7*a[2]*(8*a[8]*a[12] + 
             a[19])) + 3*(28*a[6]^2*a[8]*
             a[9] + 14*a[2]*(33*a[2]^4*
             a[11]^2 + 4*a[8]*(a[9]*
             a[10] + a[8]*a[11]) + 
             66*a[2]^5*a[9]*a[12] + 
             15*a[2]^3*a[10]*a[13] + 
             6*a[2]^2*a[9]*a[15] + 
             2*a[2]*a[8]*(9*a[9]^2 + 
             a[17])) + a[6]*(840*a[2]^3*
             a[9]*a[10] + 252*a[2]^2*
             a[9]*a[11] + 56*a[2]*a[8]*
             a[13] + a[21]))) + 
          272*a[1]^15*(a[10]*a[17] + 
            9*a[2]*(2*a[8]*a[18] + 
             19*(a[2]*a[6]*a[19] + 
             7*a[2]^4*a[21]))) + 
          2*a[5]*(10*(1 + 18*a[1] + 
             21*a[1]^2)*a[6]^3*a[7] + 
            10*a[1]*a[8]^3 + 420*a[1]^4*
             a[8]^3 + 60*a[1]*a[7]*a[8]*
             a[9] + 420*a[1]^3*a[7]*a[8]*
             a[9] + 840*a[1]^4*a[7]*a[8]*
             a[9] + 1512*a[1]^5*a[7]*
             a[8]*a[9] + 30*a[1]*a[7]^2*
             a[10] + 420*a[1]^3*a[7]^2*
             a[10] + 1260*a[1]^6*a[7]^2*
             a[10] + 66*a[2]^10*a[12] + 
            30*a[1]*(1 + 6*a[1] + 
             99*a[1]^7)*a[6]^2*a[12] + 
            3*a[11]*a[12] + 30*a[1]^2*
             a[11]*a[12] + 495*a[1]^8*
             a[11]*a[12] + 660*a[1]^9*
             a[11]*a[12] + 4290*a[1]^2*
             a[2]^9*a[13] + 3*a[10]*
             a[13] + 30*a[1]^2*a[10]*
             a[13] + 360*a[1]^7*a[10]*
             a[13] + 858*a[1]^10*a[10]*
             a[13] + 45045*a[1]^4*a[2]^8*
             a[14] + 3*a[9]*a[14] + 
            30*a[1]^2*a[9]*a[14] + 
            252*a[1]^6*a[9]*a[14] + 
            1092*a[1]^11*a[9]*a[14] + 
            3*a[8]*a[15] + 30*a[1]^2*
             a[8]*a[15] + 168*a[1]^5*
             a[8]*a[15] + 1365*a[1]^12*
             a[8]*a[15] + 180*a[2]^7*
             (2*a[6]*a[10] + 1001*a[1]^
             6*a[15]) + 3*a[7]*a[16] + 
            30*a[1]^2*a[7]*a[16] + 
            105*a[1]^4*a[7]*a[16] + 
            1680*a[1]^13*a[7]*a[16] + 
            252*a[2]^6*(a[8]*a[9] + 
             5*a[1]*(2*a[7]*a[10] + 
             11*a[1]*a[6]*a[11] + 
             286*a[1]^7*a[16])) + 
            168*a[2]^5*(9*a[1]*a[9]^2 + 
             a[8]*a[10] + 45*a[1]^2*a[8]*
             a[10] + 165*a[1]^3*a[7]*a[
             11] + 495*a[1]^4*a[6]*a[
             12] + 2431*a[1]^10*a[17]) + 
            3*a[6]*(504*a[1]^5*a[9]^2 + 
             280*a[1]^4*a[8]*a[10] + 
             840*a[1]^6*a[8]*a[10] + 
             1320*a[1]^7*a[7]*a[11] + 
             10*a[1]*(a[9]^2 + 2*a[8]*
             a[10] + 2*a[7]*a[11]) + 
             a[17] + 680*a[1]^14*a[17] + 
             10*a[1]^2*(3*a[9]^2 + 
             6*a[8]*a[10] + 6*a[7]*
             a[11] + a[17]) + 20*a[1]^3*(
             7*a[7]*a[11] + a[17])) + 
            105*a[2]^4*(4*a[6]^2*a[8] + 
             36*a[1]^2*a[9]*a[10] + 
             120*a[1]^3*a[9]*a[10] + 
             8*a[1]*a[8]*a[11] + 
             330*a[1]^4*a[8]*a[11] + 
             a[7]*a[12] + 792*a[1]^5*a[
             7]*a[12] + 1716*a[1]^6*a[6]*
             a[13] + 2652*a[1]^12*a[
             18]) + 10*a[2]^3*
             (21*a[7]^3 + 1260*a[1]^4*
             a[10]^2 + 504*a[1]^3*a[9]*a[
             11] + 2772*a[1]^5*a[9]*a[
             11] + 5544*a[1]^6*a[8]*a[
             12] + 84*a[1]^2*(9*a[6]^2*
             a[9] + 2*a[8]*a[12]) + 
             6*a[7]*(7*(1 + 8*a[1])*a[6]*
             a[8] + a[1]*(7 + 1716*a[1]^
             6)*a[13]) + 6*a[6]*a[14] + 
             18018*a[1]^8*a[6]*a[14] + 
             a[19] + 11628*a[1]^14*a[
             19]) + 30*a[2]^2*
             (6*a[6]^2*a[10] + a[10]*a[
             11] + 252*a[1]^5*a[10]*a[
             11] + 462*a[1]^6*a[10]*a[
             11] + a[9]*a[12] + 792*a[1]^
             7*a[9]*a[12] + 126*a[1]^4*(
             5*a[6]^2*a[10] + a[9]*
             a[12]) + a[8]*a[13] + 
             1287*a[1]^8*a[8]*a[13] + 
             56*a[1]^3*(9*a[6]*a[7]*
             a[9] + a[8]*a[13]) + 
             a[7]*a[14] + 2002*a[1]^9*a[
             7]*a[14] + 21*a[1]^2*(
             4*a[7]^2*a[8] + 8*a[6]*
             a[8]^2 + a[7]*a[14]) + 
             3003*a[1]^10*a[6]*a[15] + 
             a[6]*(3*a[8]^2 + 6*a[7]*
             a[9] + a[15]) + 969*a[1]^16*
             a[20] + a[1]*(42*a[7]^2*
             a[8] + 42*a[6]*a[7]*a[9] + 
             6*a[6]*a[15] + a[20])) + 
            3*a[2]*(20*a[6]^4 + 10*(1 + 
             42*a[1]^2 + 126*a[1]^4)*
             a[7]^2*a[9] + 10*(1 + 
             12*a[1] + 462*a[1]^6)*a[6]^
             2*a[11] + 10*a[1]*a[11]^2 + 
             1320*a[1]^7*a[11]^2 + 
             20*a[1]*a[10]*a[12] + 
             840*a[1]^6*a[10]*a[12] + 
             1980*a[1]^8*a[10]*a[12] + 
             20*a[1]*a[9]*a[13] + 
             504*a[1]^5*a[9]*a[13] + 
             2860*a[1]^9*a[9]*a[13] + 
             20*a[1]*a[8]*a[14] + 
             280*a[1]^4*a[8]*a[14] + 
             4004*a[1]^10*a[8]*a[14] + 
             10*a[7]*((1 + 21*a[1]^2 + 
             112*a[1]^3)*a[8]^2 + 2*a[1]*
             (1 + 7*a[1]^2 + 273*a[1]^
             10)*a[15]) + 20*a[6]*(
             (1 + 6*a[1] + 56*a[1]^3 + 
             126*a[1]^4)*a[8]*a[9] + 
             (1 + 6*a[1] + 21*a[1]^2 + 
             252*a[1]^5)*a[7]*a[10] + 
             a[1]*(1 + 3*a[1] + 364*
             a[1]^11)*a[16]) + a[21] + 
             10*a[1]^2*a[21] + 1330*a[1]^
             18*a[21]) + 3*a[1]*a[22] + 
            10*a[1]^3*a[22] + 
            231*a[1]^20*a[22]) + 
          342*a[1]^17*(a[8]*a[19] + 
            20*a[2]*a[6]*a[20] + 
            385*a[2]^4*a[22]) + 
          140*a[1]^19*(3*a[6]*a[21] + 
            253*a[2]^3*a[23]) + 
          3*a[2]^2*a[24] + 6072*a[1]^21*
           a[2]^2*a[24] + 2*a[2]*a[25] + 
          600*a[1]^23*a[2]*a[25] + 
          2*a[1]*(15*a[6]^5 + 360*a[2]^7*
             a[10]^2 + 20*a[6]^3*
             (28*a[2]^3*a[8] + 9*a[2]*a[
             10]) + 495*a[2]^8*a[8]*
             a[11] + 210*a[2]^3*a[7]*
             (a[9]^2 + 2*a[8]*a[10] + 
             2*a[7]*a[11]) + 252*a[2]^6*
             a[9]*a[12] + 91*a[2]^12*
             a[14] + 90*a[2]*a[6]^2*
             (7*a[2]*a[7]*a[8] + 
             2*a[8]^2 + 4*a[7]*a[9] + 
             14*a[2]^5*a[10] + 2*a[2]*a[
             14]) + 84*a[2]^5*
             (9*a[7]^2*a[9] + 2*a[8]*a[
             14]) + 105*a[2]^4*
             (4*a[8]^3 + 8*a[7]*a[8]*a[
             9] + a[7]*a[16]) + 
            3*(a[13]*a[14] + a[12]*a[
             15] + a[11]*a[16] + 
             a[10]*a[17] + a[9]*a[18] + 
             a[8]*a[19] + a[7]*a[20]) + 
            3*a[6]*(60*a[2]*a[7]^2*a[
             8] + 504*a[2]^5*a[8]*a[9] + 
             280*a[2]^4*a[8]*a[10] + 
             220*a[2]^9*a[12] + 30*a[2]^
             2*(7*a[7]^3 + a[10]^2 + 
             2*a[9]*a[11] + 2*a[8]*
             a[12] + 2*a[7]*a[13]) + 
             20*a[2]^3*(7*a[7]*a[12] + 
             a[18]) + a[21]) + 
            3*a[2]*a[25]) + 26*a[1]^25*
           a[26] + 3*a[1]^2*
           (60*a[6]*a[7]*(a[8]^2 + 
             a[7]*a[9]) + 120*a[6]^2*
             (a[8]*a[9] + a[7]*a[10]) + 
            60*a[6]^3*a[11] + 
            1320*a[2]^7*a[9]*a[11] + 
            840*a[2]^6*a[10]*a[11] + 
            1980*a[2]^8*a[7]*a[12] + 
            504*a[2]^5*(10*a[6]*a[7]*a[
             10] + a[9]*a[13]) + 
            280*a[2]^4*(9*a[7]*a[8]*a[
             9] + 9*a[6]*a[9]^2 + 
             a[8]*a[15]) + 20*a[2]*
             (7*a[7]^4 + 42*a[6]*a[7]^2*
             a[8] + 3*a[6]*a[7]*(7*a[6]*
             a[9] + 2*a[14]) + 6*a[6]*(
             a[10]*a[11] + a[9]*a[12] + 
             a[8]*a[13] + a[6]*a[15])) + 
            140*a[2]^3*(8*a[8]^2*a[9] + 
             8*a[8]*(a[7]*a[10] + 
             a[6]*a[11]) + a[7]*a[17]) + 
            60*a[2]^2*(28*a[6]^2*a[7]*a[
             8] + 7*a[7]*(a[9]*a[10] + 
             a[8]*a[11] + a[7]*a[12]) + 
             a[6]*(7*a[7]*a[13] + 
             a[19])) + a[26])) + 
        2*a[1]*a[2]*a[27] + 27*a[1]^26*
         a[2]*a[27] - b[28]));
         
 a[29] = -(1/(a[1] + a[1]^29))*
       (60*a[2]*a[5]^3*a[6]^3 + 
        5*a[5]^2*a[6]^4 + 60*a[1]*a[5]^2*
         a[6]^4 + 21*a[2]^2*a[5]^5*
         a[7] + 30*a[2]*a[5]^4*a[6]*
         a[7] + 210*a[1]*a[2]*a[5]^4*
         a[6]*a[7] + 30*a[5]^3*a[6]^2*
         a[7] + 120*a[1]*a[5]^3*a[6]^2*
         a[7] + 210*a[1]^2*a[5]^3*a[6]^2*
         a[7] + 140*a[2]^3*a[5]*a[6]^3*
         a[7] + 60*a[2]^2*a[6]^4*a[7] + 
        105*a[1]*a[2]^2*a[6]^4*a[7] + 
        10*a[5]^4*a[7]^2 + 105*a[1]^2*
         a[5]^4*a[7]^2 + 420*a[2]^3*
         a[5]^2*a[6]*a[7]^2 + 
        180*a[2]^2*a[5]*a[6]^2*a[7]^2 + 
        1260*a[1]*a[2]^2*a[5]*a[6]^2*
         a[7]^2 + 180*a[1]*a[2]*a[6]^3*
         a[7]^2 + 420*a[1]^2*a[2]*a[6]^3*
         a[7]^2 + 630*a[1]*a[2]^2*a[5]^2*
         a[7]^3 + 20*a[2]*a[5]*a[6]*
         a[7]^3 + 120*a[1]*a[2]*a[5]*
         a[6]*a[7]^3 + 1260*a[1]^2*a[2]*
         a[5]*a[6]*a[7]^3 + 60*a[1]^2*
         a[6]^2*a[7]^3 + 210*a[1]^3*
         a[6]^2*a[7]^3 + 35*a[2]^4*
         a[7]^4 + 5*a[1]*a[5]*a[7]^4 + 
        140*a[1]^3*a[5]*a[7]^4 + 
        8*a[1]*a[4]^7*a[8] + 168*a[1]^2*
         a[2]*a[5]^5*a[8] + 280*a[2]^4*
         a[5]^3*a[6]*a[8] + 20*a[5]^4*
         a[6]*a[8] + 30*a[1]*a[5]^4*a[6]*
         a[8] + 280*a[1]^3*a[5]^4*a[6]*
         a[8] + 1680*a[1]*a[2]^3*a[5]^2*
         a[6]^2*a[8] + 180*a[2]^2*a[5]*
         a[6]^3*a[8] + 1680*a[1]^2*
         a[2]^2*a[5]*a[6]^3*a[8] + 
        120*a[1]*a[2]*a[6]^4*a[8] + 
        280*a[1]^3*a[2]*a[6]^4*a[8] + 
        140*a[2]^3*a[5]^3*a[7]*a[8] + 
        1120*a[1]*a[2]^3*a[5]^3*a[7]*
         a[8] + 180*a[2]^2*a[5]^2*a[6]*
         a[7]*a[8] + 1260*a[1]*a[2]^2*
         a[5]^2*a[6]*a[7]*a[8] + 
        5040*a[1]^2*a[2]^2*a[5]^2*a[6]*
         a[7]*a[8] + 168*a[2]^5*a[6]^2*
         a[7]*a[8] + 60*a[2]*a[5]*a[6]^2*
         a[7]*a[8] + 720*a[1]*a[2]*a[5]*
         a[6]^2*a[7]*a[8] + 1260*a[1]^2*
         a[2]*a[5]*a[6]^2*a[7]*a[8] + 
        3360*a[1]^3*a[2]*a[5]*a[6]^2*
         a[7]*a[8] + 180*a[1]^2*a[6]^3*
         a[7]*a[8] + 140*a[1]^3*a[6]^3*
         a[7]*a[8] + 280*a[1]^4*a[6]^3*
         a[7]*a[8] + 168*a[2]^5*a[5]*
         a[7]^2*a[8] + 60*a[2]*a[5]^2*
         a[7]^2*a[8] + 1260*a[1]^2*a[2]*
         a[5]^2*a[7]^2*a[8] + 
        1680*a[1]^3*a[2]*a[5]^2*a[7]^2*
         a[8] + 210*a[2]^4*a[6]*a[7]^2*
         a[8] + 840*a[1]*a[2]^4*a[6]*
         a[7]^2*a[8] + 60*a[1]*a[5]*a[6]*
         a[7]^2*a[8] + 180*a[1]^2*a[5]*
         a[6]*a[7]^2*a[8] + 840*a[1]^3*
         a[5]*a[6]*a[7]^2*a[8] + 
        840*a[1]^4*a[5]*a[6]*a[7]^2*
         a[8] + 420*a[1]*a[2]^3*a[7]^3*
         a[8] + 560*a[1]^2*a[2]^3*a[7]^3*
         a[8] + 1680*a[1]^2*a[2]^2*
         a[5]^3*a[8]^2 + 336*a[2]^5*a[5]*
         a[6]*a[8]^2 + 60*a[2]*a[5]^2*
         a[6]*a[8]^2 + 180*a[1]*a[2]*
         a[5]^2*a[6]*a[8]^2 + 
        3360*a[1]^3*a[2]*a[5]^2*a[6]*
         a[8]^2 + 840*a[1]*a[2]^4*a[6]^2*
         a[8]^2 + 30*a[1]*a[5]*a[6]^2*
         a[8]^2 + 180*a[1]^2*a[5]*a[6]^2*
         a[8]^2 + 840*a[1]^4*a[5]*a[6]^2*
         a[8]^2 + 105*a[2]^4*a[5]*a[7]*
         a[8]^2 + 1680*a[1]*a[2]^4*a[5]*
         a[7]*a[8]^2 + 60*a[1]*a[5]^2*
         a[7]*a[8]^2 + 210*a[1]^3*a[5]^2*
         a[7]*a[8]^2 + 840*a[1]^4*a[5]^2*
         a[7]*a[8]^2 + 60*a[2]^3*a[6]*
         a[7]*a[8]^2 + 420*a[1]*a[2]^3*
         a[6]*a[7]*a[8]^2 + 3360*a[1]^2*
         a[2]^3*a[6]*a[7]*a[8]^2 + 
        630*a[1]^2*a[2]^2*a[7]^2*
         a[8]^2 + 1680*a[1]^3*a[2]^2*
         a[7]^2*a[8]^2 + 1680*a[1]^2*
         a[2]^3*a[5]*a[8]^3 + 
        60*a[1]*a[2]^2*a[6]*a[8]^3 + 
        1680*a[1]^3*a[2]^2*a[6]*a[8]^3 + 
        140*a[1]^3*a[2]*a[7]*a[8]^3 + 
        840*a[1]^4*a[2]*a[7]*a[8]^3 + 
        56*a[1]^5*a[8]^4 + 630*a[1]*
         a[2]^4*a[5]^4*a[9] + 
        5*a[5]^5*a[9] + 126*a[1]^4*
         a[5]^5*a[9] + 5040*a[1]^2*
         a[2]^3*a[5]^3*a[6]*a[9] + 
        252*a[2]^6*a[5]*a[6]^2*a[9] + 
        180*a[2]^2*a[5]^2*a[6]^2*a[9] + 
        7560*a[1]^3*a[2]^2*a[5]^2*a[6]^2*
         a[9] + 504*a[1]*a[2]^5*a[6]^3*
         a[9] + 20*a[2]*a[5]*a[6]^3*
         a[9] + 360*a[1]*a[2]*a[5]*
         a[6]^3*a[9] + 2520*a[1]^4*a[2]*
         a[5]*a[6]^3*a[9] + 60*a[1]^2*
         a[6]^4*a[9] + 126*a[1]^5*a[6]^4*
         a[9] + 252*a[2]^6*a[5]^2*a[7]*
         a[9] + 420*a[1]*a[2]^2*a[5]^3*
         a[7]*a[9] + 5040*a[1]^3*a[2]^2*
         a[5]^3*a[7]*a[9] + 3024*a[1]*
         a[2]^5*a[5]*a[6]*a[7]*a[9] + 
        120*a[2]*a[5]^2*a[6]*a[7]*a[9] + 
        360*a[1]*a[2]*a[5]^2*a[6]*a[7]*
         a[9] + 1260*a[1]^2*a[2]*a[5]^2*
         a[6]*a[7]*a[9] + 7560*a[1]^4*
         a[2]*a[5]^2*a[6]*a[7]*a[9] + 
        105*a[2]^4*a[6]^2*a[7]*a[9] + 
        3780*a[1]^2*a[2]^4*a[6]^2*a[7]*
         a[9] + 60*a[1]*a[5]*a[6]^2*a[7]*
         a[9] + 360*a[1]^2*a[5]*a[6]^2*
         a[7]*a[9] + 420*a[1]^3*a[5]*
         a[6]^2*a[7]*a[9] + 1512*a[1]^5*
         a[5]*a[6]^2*a[7]*a[9] + 
        210*a[2]^4*a[5]*a[7]^2*a[9] + 
        3780*a[1]^2*a[2]^4*a[5]*a[7]^2*
         a[9] + 60*a[1]*a[5]^2*a[7]^2*
         a[9] + 420*a[1]^3*a[5]^2*a[7]^2*
         a[9] + 756*a[1]^5*a[5]^2*a[7]^2*
         a[9] + 60*a[2]^3*a[6]*a[7]^2*
         a[9] + 840*a[1]*a[2]^3*a[6]*
         a[7]^2*a[9] + 5040*a[1]^3*
         a[2]^3*a[6]*a[7]^2*a[9] + 
        630*a[1]^2*a[2]^2*a[7]^3*a[9] + 
        1260*a[1]^4*a[2]^2*a[7]^3*a[9] + 
        168*a[2]^5*a[5]^2*a[8]*a[9] + 
        1512*a[1]*a[2]^5*a[5]^2*a[8]*
         a[9] + 60*a[2]*a[5]^3*a[8]*
         a[9] + 1120*a[1]^3*a[2]*a[5]^3*
         a[8]*a[9] + 2520*a[1]^4*a[2]*
         a[5]^3*a[8]*a[9] + 1680*a[1]*
         a[2]^4*a[5]*a[6]*a[8]*a[9] + 
        7560*a[1]^2*a[2]^4*a[5]*a[6]*
         a[8]*a[9] + 120*a[1]*a[5]^2*
         a[6]*a[8]*a[9] + 180*a[1]^2*
         a[5]^2*a[6]*a[8]*a[9] + 
        840*a[1]^4*a[5]^2*a[6]*a[8]*
         a[9] + 1512*a[1]^5*a[5]^2*a[6]*
         a[8]*a[9] + 120*a[2]^3*a[6]^2*
         a[8]*a[9] + 1680*a[1]^2*a[2]^3*
         a[6]^2*a[8]*a[9] + 5040*a[1]^3*
         a[2]^3*a[6]^2*a[8]*a[9] + 
        72*a[2]^7*a[7]*a[8]*a[9] + 
        840*a[1]*a[2]^3*a[5]*a[7]*a[8]*
         a[9] + 3360*a[1]^2*a[2]^3*a[5]*
         a[7]*a[8]*a[9] + 10080*a[1]^3*
         a[2]^3*a[5]*a[7]*a[8]*a[9] + 
        360*a[1]*a[2]^2*a[6]*a[7]*a[8]*
         a[9] + 1260*a[1]^2*a[2]^2*a[6]*
         a[7]*a[8]*a[9] + 3360*a[1]^3*
         a[2]^2*a[6]*a[7]*a[8]*a[9] + 
        7560*a[1]^4*a[2]^2*a[6]*a[7]*
         a[8]*a[9] + 840*a[1]^3*a[2]*
         a[7]^2*a[8]*a[9] + 840*a[1]^4*
         a[2]*a[7]^2*a[8]*a[9] + 
        1512*a[1]^5*a[2]*a[7]^2*a[8]*
         a[9] + 56*a[2]^6*a[8]^2*a[9] + 
        252*a[1]*a[2]^6*a[8]^2*a[9] + 
        30*a[2]^2*a[5]*a[8]^2*a[9] + 
        3360*a[1]^3*a[2]^2*a[5]*a[8]^2*
         a[9] + 3780*a[1]^4*a[2]^2*a[5]*
         a[8]^2*a[9] + 180*a[1]^2*a[2]*
         a[6]*a[8]^2*a[9] + 1680*a[1]^4*
         a[2]*a[6]*a[8]^2*a[9] + 
        1512*a[1]^5*a[2]*a[6]*a[8]^2*
         a[9] + 105*a[1]^4*a[7]*a[8]^2*
         a[9] + 336*a[1]^5*a[7]*a[8]^2*
         a[9] + 252*a[1]^6*a[7]*a[8]^2*
         a[9] + 3780*a[1]^2*a[2]^4*
         a[5]^2*a[9]^2 + 30*a[1]*a[5]^3*
         a[9]^2 + 504*a[1]^5*a[5]^3*
         a[9]^2 + 72*a[2]^7*a[6]*
         a[9]^2 + 60*a[2]^3*a[5]*a[6]*
         a[9]^2 + 10080*a[1]^3*a[2]^3*
         a[5]*a[6]*a[9]^2 + 180*a[1]*
         a[2]^2*a[6]^2*a[9]^2 + 
        3780*a[1]^4*a[2]^2*a[6]^2*
         a[9]^2 + 504*a[1]*a[2]^6*a[7]*
         a[9]^2 + 30*a[2]^2*a[5]*a[7]*
         a[9]^2 + 630*a[1]^2*a[2]^2*a[5]*
         a[7]*a[9]^2 + 7560*a[1]^4*
         a[2]^2*a[5]*a[7]*a[9]^2 + 
        180*a[1]^2*a[2]*a[6]*a[7]*
         a[9]^2 + 420*a[1]^3*a[2]*a[6]*
         a[7]*a[9]^2 + 3024*a[1]^5*a[2]*
         a[6]*a[7]*a[9]^2 + 105*a[1]^4*
         a[7]^2*a[9]^2 + 252*a[1]^6*
         a[7]^2*a[9]^2 + 168*a[1]*a[2]^5*
         a[8]*a[9]^2 + 1512*a[1]^2*
         a[2]^5*a[8]*a[9]^2 + 
        60*a[1]*a[2]*a[5]*a[8]*a[9]^2 + 
        840*a[1]^4*a[2]*a[5]*a[8]*
         a[9]^2 + 3024*a[1]^5*a[2]*a[5]*
         a[8]*a[9]^2 + 60*a[1]^3*a[6]*
         a[8]*a[9]^2 + 168*a[1]^5*a[6]*
         a[8]*a[9]^2 + 504*a[1]^6*a[6]*
         a[8]*a[9]^2 + 1260*a[1]^3*
         a[2]^4*a[9]^3 + 10*a[1]^2*a[5]*
         a[9]^3 + 252*a[1]^6*a[5]*
         a[9]^3 + 120*a[2]^7*a[5]^3*
         a[10] + 4200*a[1]^3*a[2]^3*
         a[5]^4*a[10] + 2520*a[1]*a[2]^6*
         a[5]^2*a[6]*a[10] + 
        60*a[2]^2*a[5]^3*a[6]*a[10] + 
        12600*a[1]^4*a[2]^2*a[5]^3*a[6]*
         a[10] + 7560*a[1]^2*a[2]^5*a[5]*
         a[6]^2*a[10] + 60*a[2]*a[5]^2*
         a[6]^2*a[10] + 360*a[1]*a[2]*
         a[5]^2*a[6]^2*a[10] + 
        7560*a[1]^5*a[2]*a[5]^2*a[6]^2*
         a[10] + 4200*a[1]^3*a[2]^4*
         a[6]^3*a[10] + 20*a[1]*a[5]*
         a[6]^3*a[10] + 180*a[1]^2*a[5]*
         a[6]^3*a[10] + 840*a[1]^6*a[5]*
         a[6]^3*a[10] + 7560*a[1]^2*
         a[2]^5*a[5]^2*a[7]*a[10] + 
        60*a[2]*a[5]^3*a[7]*a[10] + 
        420*a[1]^2*a[2]*a[5]^3*a[7]*
         a[10] + 5040*a[1]^5*a[2]*a[5]^3*
         a[7]*a[10] + 90*a[2]^8*a[6]*
         a[7]*a[10] + 210*a[2]^4*a[5]*
         a[6]*a[7]*a[10] + 25200*a[1]^3*
         a[2]^4*a[5]*a[6]*a[7]*a[10] + 
        120*a[1]*a[5]^2*a[6]*a[7]*
         a[10] + 180*a[1]^2*a[5]^2*a[6]*
         a[7]*a[10] + 420*a[1]^3*a[5]^2*
         a[6]*a[7]*a[10] + 2520*a[1]^6*
         a[5]^2*a[6]*a[7]*a[10] + 
        120*a[2]^3*a[6]^2*a[7]*a[10] + 
        420*a[1]*a[2]^3*a[6]^2*a[7]*
         a[10] + 12600*a[1]^4*a[2]^3*
         a[6]^2*a[7]*a[10] + 
        360*a[1]*a[2]^7*a[7]^2*a[10] + 
        840*a[1]*a[2]^3*a[5]*a[7]^2*
         a[10] + 12600*a[1]^4*a[2]^3*
         a[5]*a[7]^2*a[10] + 
        180*a[1]*a[2]^2*a[6]*a[7]^2*
         a[10] + 1260*a[1]^2*a[2]^2*a[6]*
         a[7]^2*a[10] + 7560*a[1]^5*
         a[2]^2*a[6]*a[7]^2*a[10] + 
        420*a[1]^3*a[2]*a[7]^3*a[10] + 
        840*a[1]^6*a[2]*a[7]^3*a[10] + 
        90*a[2]^8*a[5]*a[8]*a[10] + 
        840*a[1]*a[2]^4*a[5]^2*a[8]*
         a[10] + 12600*a[1]^3*a[2]^4*
         a[5]^2*a[8]*a[10] + 
        60*a[1]*a[5]^3*a[8]*a[10] + 
        280*a[1]^4*a[5]^3*a[8]*a[10] + 
        840*a[1]^6*a[5]^3*a[8]*a[10] + 
        720*a[1]*a[2]^7*a[6]*a[8]*
         a[10] + 120*a[2]^3*a[5]*a[6]*
         a[8]*a[10] + 3360*a[1]^2*a[2]^3*
         a[5]*a[6]*a[8]*a[10] + 
        25200*a[1]^4*a[2]^3*a[5]*a[6]*
         a[8]*a[10] + 360*a[1]*a[2]^2*
         a[6]^2*a[8]*a[10] + 1680*a[1]^3*
         a[2]^2*a[6]^2*a[8]*a[10] + 
        7560*a[1]^5*a[2]^2*a[6]^2*a[8]*
         a[10] + 56*a[2]^6*a[7]*a[8]*
         a[10] + 2520*a[1]^2*a[2]^6*a[7]*
         a[8]*a[10] + 60*a[2]^2*a[5]*
         a[7]*a[8]*a[10] + 1260*a[1]^2*
         a[2]^2*a[5]*a[7]*a[8]*a[10] + 
        3360*a[1]^3*a[2]^2*a[5]*a[7]*
         a[8]*a[10] + 15120*a[1]^5*
         a[2]^2*a[5]*a[7]*a[8]*a[10] + 
        360*a[1]^2*a[2]*a[6]*a[7]*a[8]*
         a[10] + 840*a[1]^3*a[2]*a[6]*
         a[7]*a[8]*a[10] + 1680*a[1]^4*
         a[2]*a[6]*a[7]*a[8]*a[10] + 
        5040*a[1]^6*a[2]*a[6]*a[7]*a[8]*
         a[10] + 210*a[1]^4*a[7]^2*a[8]*
         a[10] + 168*a[1]^5*a[7]^2*a[8]*
         a[10] + 360*a[1]^7*a[7]^2*a[8]*
         a[10] + 336*a[1]*a[2]^5*a[8]^2*
         a[10] + 2520*a[1]^3*a[2]^5*
         a[8]^2*a[10] + 60*a[1]*a[2]*
         a[5]*a[8]^2*a[10] + 1680*a[1]^4*
         a[2]*a[5]*a[8]^2*a[10] + 
        2520*a[1]^6*a[2]*a[5]*a[8]^2*
         a[10] + 60*a[1]^3*a[6]*a[8]^2*
         a[10] + 336*a[1]^5*a[6]*a[8]^2*
         a[10] + 360*a[1]^7*a[6]*a[8]^2*
         a[10] + 72*a[2]^7*a[5]*a[9]*
         a[10] + 720*a[1]*a[2]^7*a[5]*
         a[9]*a[10] + 5040*a[1]^3*a[2]^3*
         a[5]^2*a[9]*a[10] + 
        12600*a[1]^4*a[2]^3*a[5]^2*a[9]*
         a[10] + 504*a[1]*a[2]^6*a[6]*
         a[9]*a[10] + 2520*a[1]^2*a[2]^6*
         a[6]*a[9]*a[10] + 60*a[2]^2*
         a[5]*a[6]*a[9]*a[10] + 
        360*a[1]*a[2]^2*a[5]*a[6]*a[9]*
         a[10] + 7560*a[1]^4*a[2]^2*a[5]*
         a[6]*a[9]*a[10] + 15120*a[1]^5*
         a[2]^2*a[5]*a[6]*a[9]*a[10] + 
        360*a[1]^2*a[2]*a[6]^2*a[9]*
         a[10] + 1512*a[1]^5*a[2]*a[6]^2*
         a[9]*a[10] + 2520*a[1]^6*a[2]*
         a[6]^2*a[9]*a[10] + 
        42*a[2]^5*a[7]*a[9]*a[10] + 
        1512*a[1]^2*a[2]^5*a[7]*a[9]*
         a[10] + 5040*a[1]^3*a[2]^5*a[7]*
         a[9]*a[10] + 120*a[1]*a[2]*a[5]*
         a[7]*a[9]*a[10] + 840*a[1]^3*
         a[2]*a[5]*a[7]*a[9]*a[10] + 
        3024*a[1]^5*a[2]*a[5]*a[7]*a[9]*
         a[10] + 5040*a[1]^6*a[2]*a[5]*
         a[7]*a[9]*a[10] + 120*a[1]^3*
         a[6]*a[7]*a[9]*a[10] + 
        210*a[1]^4*a[6]*a[7]*a[9]*
         a[10] + 504*a[1]^6*a[6]*a[7]*
         a[9]*a[10] + 720*a[1]^7*a[6]*
         a[7]*a[9]*a[10] + 840*a[1]^2*
         a[2]^4*a[8]*a[9]*a[10] + 
        2520*a[1]^3*a[2]^4*a[8]*a[9]*
         a[10] + 6300*a[1]^4*a[2]^4*a[8]*
         a[9]*a[10] + 60*a[1]^2*a[5]*
         a[8]*a[9]*a[10] + 336*a[1]^5*
         a[5]*a[8]*a[9]*a[10] + 
        504*a[1]^6*a[5]*a[8]*a[9]*
         a[10] + 720*a[1]^7*a[5]*a[8]*
         a[9]*a[10] + 2520*a[1]^4*a[2]^3*
         a[9]^2*a[10] + 2520*a[1]^5*
         a[2]^3*a[9]^2*a[10] + 
        2520*a[1]^2*a[2]^6*a[5]*
         a[10]^2 + 30*a[2]^2*a[5]^2*
         a[10]^2 + 7560*a[1]^5*a[2]^2*
         a[5]^2*a[10]^2 + 5040*a[1]^3*
         a[2]^5*a[6]*a[10]^2 + 
        60*a[1]*a[2]*a[5]*a[6]*a[10]^2 + 
        180*a[1]^2*a[2]*a[5]*a[6]*
         a[10]^2 + 5040*a[1]^6*a[2]*a[5]*
         a[6]*a[10]^2 + 60*a[1]^3*a[6]^2*
         a[10]^2 + 360*a[1]^7*a[6]^2*
         a[10]^2 + 105*a[1]*a[2]^4*a[7]*
         a[10]^2 + 6300*a[1]^4*a[2]^4*
         a[7]*a[10]^2 + 30*a[1]^2*a[5]*
         a[7]*a[10]^2 + 105*a[1]^4*a[5]*
         a[7]*a[10]^2 + 720*a[1]^7*a[5]*
         a[7]*a[10]^2 + 560*a[1]^3*
         a[2]^3*a[8]*a[10]^2 + 
        5040*a[1]^5*a[2]^3*a[8]*
         a[10]^2 + 756*a[1]^5*a[2]^2*
         a[9]*a[10]^2 + 2520*a[1]^6*
         a[2]^2*a[9]*a[10]^2 + 
        360*a[1]^7*a[2]*a[10]^3 + 
        4620*a[1]^2*a[2]^6*a[5]^3*
         a[11] + 6930*a[1]^5*a[2]^2*
         a[5]^4*a[11] + 110*a[2]^9*a[5]*
         a[6]*a[11] + 27720*a[1]^3*
         a[2]^5*a[5]^2*a[6]*a[11] + 
        60*a[2]*a[5]^3*a[6]*a[11] + 
        120*a[1]*a[2]*a[5]^3*a[6]*
         a[11] + 9240*a[1]^6*a[2]*a[5]^3*
         a[6]*a[11] + 495*a[1]*a[2]^8*
         a[6]^2*a[11] + 34650*a[1]^4*
         a[2]^4*a[5]*a[6]^2*a[11] + 
        60*a[1]*a[5]^2*a[6]^2*a[11] + 
        180*a[1]^2*a[5]^2*a[6]^2*a[11] + 
        1980*a[1]^7*a[5]^2*a[6]^2*
         a[11] + 60*a[2]^3*a[6]^3*
         a[11] + 9240*a[1]^5*a[2]^3*
         a[6]^3*a[11] + 990*a[1]*a[2]^8*
         a[5]*a[7]*a[11] + 105*a[2]^4*
         a[5]^2*a[7]*a[11] + 
        34650*a[1]^4*a[2]^4*a[5]^2*a[7]*
         a[11] + 60*a[1]*a[5]^3*a[7]*
         a[11] + 140*a[1]^3*a[5]^3*a[7]*
         a[11] + 1320*a[1]^7*a[5]^3*a[7]*
         a[11] + 3960*a[1]^2*a[2]^7*a[6]*
         a[7]*a[11] + 120*a[2]^3*a[5]*
         a[6]*a[7]*a[11] + 840*a[1]*
         a[2]^3*a[5]*a[6]*a[7]*a[11] + 
        55440*a[1]^5*a[2]^3*a[5]*a[6]*
         a[7]*a[11] + 360*a[1]*a[2]^2*
         a[6]^2*a[7]*a[11] + 630*a[1]^2*
         a[2]^2*a[6]^2*a[7]*a[11] + 
        13860*a[1]^6*a[2]^2*a[6]^2*a[7]*
         a[11] + 4620*a[1]^3*a[2]^6*
         a[7]^2*a[11] + 30*a[2]^2*a[5]*
         a[7]^2*a[11] + 1260*a[1]^2*
         a[2]^2*a[5]*a[7]^2*a[11] + 
        13860*a[1]^6*a[2]^2*a[5]*a[7]^2*
         a[11] + 180*a[1]^2*a[2]*a[6]*
         a[7]^2*a[11] + 840*a[1]^3*a[2]*
         a[6]*a[7]^2*a[11] + 3960*a[1]^7*
         a[2]*a[6]*a[7]^2*a[11] + 
        105*a[1]^4*a[7]^3*a[11] + 
        165*a[1]^8*a[7]^3*a[11] + 
        3960*a[1]^2*a[2]^7*a[5]*a[8]*
         a[11] + 1680*a[1]^2*a[2]^3*
         a[5]^2*a[8]*a[11] + 
        27720*a[1]^5*a[2]^3*a[5]^2*a[8]*
         a[11] + 56*a[2]^6*a[6]*a[8]*
         a[11] + 9240*a[1]^3*a[2]^6*a[6]*
         a[8]*a[11] + 60*a[2]^2*a[5]*
         a[6]*a[8]*a[11] + 360*a[1]*
         a[2]^2*a[5]*a[6]*a[8]*a[11] + 
        3360*a[1]^3*a[2]^2*a[5]*a[6]*
         a[8]*a[11] + 27720*a[1]^6*
         a[2]^2*a[5]*a[6]*a[8]*a[11] + 
        360*a[1]^2*a[2]*a[6]^2*a[8]*
         a[11] + 840*a[1]^4*a[2]*a[6]^2*
         a[8]*a[11] + 3960*a[1]^7*a[2]*
         a[6]^2*a[8]*a[11] + 
        42*a[2]^5*a[7]*a[8]*a[11] + 
        336*a[1]*a[2]^5*a[7]*a[8]*
         a[11] + 13860*a[1]^4*a[2]^5*
         a[7]*a[8]*a[11] + 120*a[1]*a[2]*
         a[5]*a[7]*a[8]*a[11] + 
        840*a[1]^3*a[2]*a[5]*a[7]*a[8]*
         a[11] + 1680*a[1]^4*a[2]*a[5]*
         a[7]*a[8]*a[11] + 7920*a[1]^7*
         a[2]*a[5]*a[7]*a[8]*a[11] + 
        120*a[1]^3*a[6]*a[7]*a[8]*
         a[11] + 210*a[1]^4*a[6]*a[7]*
         a[8]*a[11] + 336*a[1]^5*a[6]*
         a[7]*a[8]*a[11] + 990*a[1]^8*
         a[6]*a[7]*a[8]*a[11] + 
        840*a[1]^2*a[2]^4*a[8]^2*a[11] + 
        6930*a[1]^5*a[2]^4*a[8]^2*
         a[11] + 30*a[1]^2*a[5]*a[8]^2*
         a[11] + 336*a[1]^5*a[5]*a[8]^2*
         a[11] + 495*a[1]^8*a[5]*a[8]^2*
         a[11] + 11*a[2]^10*a[9]*a[11] + 
        504*a[1]*a[2]^6*a[5]*a[9]*
         a[11] + 9240*a[1]^3*a[2]^6*a[5]*
         a[9]*a[11] + 60*a[2]^2*a[5]^2*
         a[9]*a[11] + 3780*a[1]^4*a[2]^2*
         a[5]^2*a[9]*a[11] + 
        13860*a[1]^6*a[2]^2*a[5]^2*a[9]*
         a[11] + 1512*a[1]^2*a[2]^5*a[6]*
         a[9]*a[11] + 13860*a[1]^4*
         a[2]^5*a[6]*a[9]*a[11] + 
        120*a[1]*a[2]*a[5]*a[6]*a[9]*
         a[11] + 360*a[1]^2*a[2]*a[5]*
         a[6]*a[9]*a[11] + 3024*a[1]^5*
         a[2]*a[5]*a[6]*a[9]*a[11] + 
        7920*a[1]^7*a[2]*a[5]*a[6]*a[9]*
         a[11] + 120*a[1]^3*a[6]^2*a[9]*
         a[11] + 252*a[1]^6*a[6]^2*a[9]*
         a[11] + 495*a[1]^8*a[6]^2*a[9]*
         a[11] + 210*a[1]*a[2]^4*a[7]*
         a[9]*a[11] + 2520*a[1]^3*a[2]^4*
         a[7]*a[9]*a[11] + 13860*a[1]^5*
         a[2]^4*a[7]*a[9]*a[11] + 
        60*a[1]^2*a[5]*a[7]*a[9]*a[11] + 
        210*a[1]^4*a[5]*a[7]*a[9]*
         a[11] + 504*a[1]^6*a[5]*a[7]*
         a[9]*a[11] + 990*a[1]^8*a[5]*
         a[7]*a[9]*a[11] + 1120*a[1]^3*
         a[2]^3*a[8]*a[9]*a[11] + 
        2520*a[1]^4*a[2]^3*a[8]*a[9]*
         a[11] + 9240*a[1]^6*a[2]^3*a[8]*
         a[9]*a[11] + 1512*a[1]^5*a[2]^2*
         a[9]^2*a[11] + 1980*a[1]^7*
         a[2]^2*a[9]^2*a[11] + 
        10*a[2]^9*a[10]*a[11] + 
        110*a[1]*a[2]^9*a[10]*a[11] + 
        5040*a[1]^3*a[2]^5*a[5]*a[10]*
         a[11] + 13860*a[1]^4*a[2]^5*
         a[5]*a[10]*a[11] + 120*a[1]*
         a[2]*a[5]^2*a[10]*a[11] + 
        2520*a[1]^6*a[2]*a[5]^2*a[10]*
         a[11] + 3960*a[1]^7*a[2]*a[5]^2*
         a[10]*a[11] + 30*a[2]^4*a[6]*
         a[10]*a[11] + 6300*a[1]^4*
         a[2]^4*a[6]*a[10]*a[11] + 
        13860*a[1]^5*a[2]^4*a[6]*a[10]*
         a[11] + 60*a[1]^2*a[5]*a[6]*
         a[10]*a[11] + 120*a[1]^3*a[5]*
         a[6]*a[10]*a[11] + 720*a[1]^7*
         a[5]*a[6]*a[10]*a[11] + 
        990*a[1]^8*a[5]*a[6]*a[10]*
         a[11] + 420*a[1]^2*a[2]^3*a[7]*
         a[10]*a[11] + 5040*a[1]^5*
         a[2]^3*a[7]*a[10]*a[11] + 
        9240*a[1]^6*a[2]^3*a[7]*a[10]*
         a[11] + 840*a[1]^4*a[2]^2*a[8]*
         a[10]*a[11] + 2520*a[1]^6*
         a[2]^2*a[8]*a[10]*a[11] + 
        3960*a[1]^7*a[2]^2*a[8]*a[10]*
         a[11] + 504*a[1]^6*a[2]*a[9]*
         a[10]*a[11] + 720*a[1]^7*a[2]*
         a[9]*a[10]*a[11] + 990*a[1]^8*
         a[2]*a[9]*a[10]*a[11] + 
        90*a[1]^8*a[10]^2*a[11] + 
        55*a[1]^9*a[10]^2*a[11] + 
        495*a[1]^2*a[2]^8*a[11]^2 + 
        13860*a[1]^5*a[2]^4*a[5]*
         a[11]^2 + 30*a[1]^2*a[5]^2*
         a[11]^2 + 495*a[1]^8*a[5]^2*
         a[11]^2 + 60*a[1]*a[2]^3*a[6]*
         a[11]^2 + 9240*a[1]^6*a[2]^3*
         a[6]*a[11]^2 + 210*a[1]^3*
         a[2]^2*a[7]*a[11]^2 + 
        3960*a[1]^7*a[2]^2*a[7]*
         a[11]^2 + 168*a[1]^5*a[2]*a[8]*
         a[11]^2 + 990*a[1]^8*a[2]*a[8]*
         a[11]^2 + 36*a[1]^7*a[9]*
         a[11]^2 + 110*a[1]^9*a[9]*
         a[11]^2 + 5*a[3]^9*
         (2*a[2]*a[10] + 11*a[1]^2*
           a[11]) + 7*a[4]^6*
         (a[5]*a[7] + 36*a[1]*a[2]^2*
           a[9] + 36*a[1]^2*a[3]*a[9] + 
          8*a[2]*(a[3]*a[8] + 15*a[1]^3*
             a[10]) + 66*a[1]^5*a[11]) + 
        660*a[1]*a[2]^9*a[5]^2*a[12] + 
        27720*a[1]^4*a[2]^5*a[5]^3*
         a[12] + 20*a[2]*a[5]^4*a[12] + 
        3960*a[1]^7*a[2]*a[5]^4*a[12] + 
        5940*a[1]^2*a[2]^8*a[5]*a[6]*
         a[12] + 83160*a[1]^5*a[2]^4*
         a[5]^2*a[6]*a[12] + 
        60*a[1]*a[5]^3*a[6]*a[12] + 
        60*a[1]^2*a[5]^3*a[6]*a[12] + 
        1980*a[1]^8*a[5]^3*a[6]*a[12] + 
        7920*a[1]^3*a[2]^7*a[6]^2*
         a[12] + 120*a[2]^3*a[5]*a[6]^2*
         a[12] + 55440*a[1]^6*a[2]^3*
         a[5]*a[6]^2*a[12] + 
        180*a[1]*a[2]^2*a[6]^3*a[12] + 
        7920*a[1]^7*a[2]^2*a[6]^3*
         a[12] + 12*a[2]^11*a[7]*a[12] + 
        15840*a[1]^3*a[2]^7*a[5]*a[7]*
         a[12] + 420*a[1]*a[2]^3*a[5]^2*
         a[7]*a[12] + 55440*a[1]^6*
         a[2]^3*a[5]^2*a[7]*a[12] + 
        27720*a[1]^4*a[2]^6*a[6]*a[7]*
         a[12] + 60*a[2]^2*a[5]*a[6]*
         a[7]*a[12] + 360*a[1]*a[2]^2*
         a[5]*a[6]*a[7]*a[12] + 
        1260*a[1]^2*a[2]^2*a[5]*a[6]*
         a[7]*a[12] + 47520*a[1]^7*
         a[2]^2*a[5]*a[6]*a[7]*a[12] + 
        360*a[1]^2*a[2]*a[6]^2*a[7]*
         a[12] + 420*a[1]^3*a[2]*a[6]^2*
         a[7]*a[12] + 5940*a[1]^8*a[2]*
         a[6]^2*a[7]*a[12] + 
        42*a[2]^5*a[7]^2*a[12] + 
        16632*a[1]^5*a[2]^5*a[7]^2*
         a[12] + 60*a[1]*a[2]*a[5]*
         a[7]^2*a[12] + 840*a[1]^3*a[2]*
         a[5]*a[7]^2*a[12] + 5940*a[1]^8*
         a[2]*a[5]*a[7]^2*a[12] + 
        60*a[1]^3*a[6]*a[7]^2*a[12] + 
        210*a[1]^4*a[6]*a[7]^2*a[12] + 
        660*a[1]^9*a[6]*a[7]^2*a[12] + 
        132*a[1]*a[2]^10*a[8]*a[12] + 
        56*a[2]^6*a[5]*a[8]*a[12] + 
        27720*a[1]^4*a[2]^6*a[5]*a[8]*
         a[12] + 60*a[2]^2*a[5]^2*a[8]*
         a[12] + 1680*a[1]^3*a[2]^2*
         a[5]^2*a[8]*a[12] + 
        23760*a[1]^7*a[2]^2*a[5]^2*a[8]*
         a[12] + 336*a[1]*a[2]^5*a[6]*
         a[8]*a[12] + 33264*a[1]^5*
         a[2]^5*a[6]*a[8]*a[12] + 
        120*a[1]*a[2]*a[5]*a[6]*a[8]*
         a[12] + 360*a[1]^2*a[2]*a[5]*
         a[6]*a[8]*a[12] + 1680*a[1]^4*
         a[2]*a[5]*a[6]*a[8]*a[12] + 
        11880*a[1]^8*a[2]*a[5]*a[6]*a[8]*
         a[12] + 120*a[1]^3*a[6]^2*a[8]*
         a[12] + 168*a[1]^5*a[6]^2*a[8]*
         a[12] + 660*a[1]^9*a[6]^2*a[8]*
         a[12] + 210*a[1]*a[2]^4*a[7]*
         a[8]*a[12] + 840*a[1]^2*a[2]^4*
         a[7]*a[8]*a[12] + 27720*a[1]^6*
         a[2]^4*a[7]*a[8]*a[12] + 
        60*a[1]^2*a[5]*a[7]*a[8]*a[12] + 
        210*a[1]^4*a[5]*a[7]*a[8]*
         a[12] + 336*a[1]^5*a[5]*a[7]*
         a[8]*a[12] + 1320*a[1]^9*a[5]*
         a[7]*a[8]*a[12] + 1120*a[1]^3*
         a[2]^3*a[8]^2*a[12] + 
        7920*a[1]^7*a[2]^3*a[8]^2*
         a[12] + 660*a[1]^2*a[2]^9*a[9]*
         a[12] + 1512*a[1]^2*a[2]^5*a[5]*
         a[9]*a[12] + 33264*a[1]^5*
         a[2]^5*a[5]*a[9]*a[12] + 
        120*a[1]*a[2]*a[5]^2*a[9]*
         a[12] + 1512*a[1]^5*a[2]*a[5]^2*
         a[9]*a[12] + 5940*a[1]^8*a[2]*
         a[5]^2*a[9]*a[12] + 
        30*a[2]^4*a[6]*a[9]*a[12] + 
        2520*a[1]^3*a[2]^4*a[6]*a[9]*
         a[12] + 27720*a[1]^6*a[2]^4*
         a[6]*a[9]*a[12] + 60*a[1]^2*
         a[5]*a[6]*a[9]*a[12] + 
        120*a[1]^3*a[5]*a[6]*a[9]*
         a[12] + 504*a[1]^6*a[5]*a[6]*
         a[9]*a[12] + 1320*a[1]^9*a[5]*
         a[6]*a[9]*a[12] + 420*a[1]^2*
         a[2]^3*a[7]*a[9]*a[12] + 
        2520*a[1]^4*a[2]^3*a[7]*a[9]*
         a[12] + 15840*a[1]^7*a[2]^3*
         a[7]*a[9]*a[12] + 840*a[1]^4*
         a[2]^2*a[8]*a[9]*a[12] + 
        1512*a[1]^5*a[2]^2*a[8]*a[9]*
         a[12] + 5940*a[1]^8*a[2]^2*a[8]*
         a[9]*a[12] + 504*a[1]^6*a[2]*
         a[9]^2*a[12] + 660*a[1]^9*a[2]*
         a[9]^2*a[12] + 90*a[1]*a[2]^8*
         a[10]*a[12] + 1980*a[1]^3*
         a[2]^8*a[10]*a[12] + 
        6300*a[1]^4*a[2]^4*a[5]*a[10]*
         a[12] + 27720*a[1]^6*a[2]^4*
         a[5]*a[10]*a[12] + 60*a[1]^2*
         a[5]^2*a[10]*a[12] + 
        360*a[1]^7*a[5]^2*a[10]*a[12] + 
        660*a[1]^9*a[5]^2*a[10]*a[12] + 
        120*a[1]*a[2]^3*a[6]*a[10]*
         a[12] + 5040*a[1]^5*a[2]^3*a[6]*
         a[10]*a[12] + 15840*a[1]^7*
         a[2]^3*a[6]*a[10]*a[12] + 
        420*a[1]^3*a[2]^2*a[7]*a[10]*
         a[12] + 2520*a[1]^6*a[2]^2*a[7]*
         a[10]*a[12] + 5940*a[1]^8*
         a[2]^2*a[7]*a[10]*a[12] + 
        336*a[1]^5*a[2]*a[8]*a[10]*
         a[12] + 720*a[1]^7*a[2]*a[8]*
         a[10]*a[12] + 1320*a[1]^9*a[2]*
         a[8]*a[10]*a[12] + 72*a[1]^7*
         a[9]*a[10]*a[12] + 90*a[1]^8*
         a[9]*a[10]*a[12] + 132*a[1]^10*
         a[9]*a[10]*a[12] + 1320*a[1]^3*
         a[2]^7*a[11]*a[12] + 
        3960*a[1]^4*a[2]^7*a[11]*a[12] + 
        20*a[2]^3*a[5]*a[11]*a[12] + 
        9240*a[1]^6*a[2]^3*a[5]*a[11]*
         a[12] + 15840*a[1]^7*a[2]^3*
         a[5]*a[11]*a[12] + 180*a[1]^2*
         a[2]^2*a[6]*a[11]*a[12] + 
        3960*a[1]^7*a[2]^2*a[6]*a[11]*
         a[12] + 5940*a[1]^8*a[2]^2*a[6]*
         a[11]*a[12] + 210*a[1]^4*a[2]*
         a[7]*a[11]*a[12] + 990*a[1]^8*
         a[2]*a[7]*a[11]*a[12] + 
        1320*a[1]^9*a[2]*a[7]*a[11]*
         a[12] + 56*a[1]^6*a[8]*a[11]*
         a[12] + 110*a[1]^9*a[8]*a[11]*
         a[12] + 132*a[1]^10*a[8]*a[11]*
         a[12] + 5544*a[1]^5*a[2]^6*
         a[12]^2 + 30*a[1]*a[2]^2*a[5]*
         a[12]^2 + 5940*a[1]^8*a[2]^2*
         a[5]*a[12]^2 + 60*a[1]^3*a[2]*
         a[6]*a[12]^2 + 1320*a[1]^9*a[2]*
         a[6]*a[12]^2 + 21*a[1]^5*a[7]*
         a[12]^2 + 132*a[1]^10*a[7]*
         a[12]^2 + 13*a[2]^12*a[5]*
         a[13] + 12870*a[1]^3*a[2]^8*
         a[5]^2*a[13] + 60060*a[1]^6*
         a[2]^4*a[5]^3*a[13] + 
        20*a[1]*a[5]^4*a[13] + 
        715*a[1]^9*a[5]^4*a[13] + 
        156*a[1]*a[2]^11*a[6]*a[13] + 
        51480*a[1]^4*a[2]^7*a[5]*a[6]*
         a[13] + 60*a[2]^3*a[5]^2*a[6]*
         a[13] + 102960*a[1]^7*a[2]^3*
         a[5]^2*a[6]*a[13] + 
        36036*a[1]^5*a[2]^6*a[6]^2*
         a[13] + 30*a[2]^2*a[5]*a[6]^2*
         a[13] + 360*a[1]*a[2]^2*a[5]*
         a[6]^2*a[13] + 38610*a[1]^8*
         a[2]^2*a[5]*a[6]^2*a[13] + 
        180*a[1]^2*a[2]*a[6]^3*a[13] + 
        2860*a[1]^9*a[2]*a[6]^3*a[13] + 
        858*a[1]^2*a[2]^10*a[7]*a[13] + 
        72072*a[1]^5*a[2]^6*a[5]*a[7]*
         a[13] + 60*a[2]^2*a[5]^2*a[7]*
         a[13] + 630*a[1]^2*a[2]^2*
         a[5]^2*a[7]*a[13] + 
        38610*a[1]^8*a[2]^2*a[5]^2*a[7]*
         a[13] + 42*a[2]^5*a[6]*a[7]*
         a[13] + 72072*a[1]^6*a[2]^5*
         a[6]*a[7]*a[13] + 120*a[1]*a[2]*
         a[5]*a[6]*a[7]*a[13] + 
        360*a[1]^2*a[2]*a[5]*a[6]*a[7]*
         a[13] + 840*a[1]^3*a[2]*a[5]*
         a[6]*a[7]*a[13] + 17160*a[1]^9*
         a[2]*a[5]*a[6]*a[7]*a[13] + 
        120*a[1]^3*a[6]^2*a[7]*a[13] + 
        105*a[1]^4*a[6]^2*a[7]*a[13] + 
        858*a[1]^10*a[6]^2*a[7]*a[13] + 
        210*a[1]*a[2]^4*a[7]^2*a[13] + 
        25740*a[1]^7*a[2]^4*a[7]^2*
         a[13] + 30*a[1]^2*a[5]*a[7]^2*
         a[13] + 210*a[1]^4*a[5]*a[7]^2*
         a[13] + 858*a[1]^10*a[5]*a[7]^2*
         a[13] + 2860*a[1]^3*a[2]^9*a[8]*
         a[13] + 336*a[1]*a[2]^5*a[5]*
         a[8]*a[13] + 72072*a[1]^6*
         a[2]^5*a[5]*a[8]*a[13] + 
        120*a[1]*a[2]*a[5]^2*a[8]*
         a[13] + 840*a[1]^4*a[2]*a[5]^2*
         a[8]*a[13] + 8580*a[1]^9*a[2]*
         a[5]^2*a[8]*a[13] + 
        30*a[2]^4*a[6]*a[8]*a[13] + 
        840*a[1]^2*a[2]^4*a[6]*a[8]*
         a[13] + 51480*a[1]^7*a[2]^4*
         a[6]*a[8]*a[13] + 60*a[1]^2*
         a[5]*a[6]*a[8]*a[13] + 
        120*a[1]^3*a[5]*a[6]*a[8]*
         a[13] + 336*a[1]^5*a[5]*a[6]*
         a[8]*a[13] + 1716*a[1]^10*a[5]*
         a[6]*a[8]*a[13] + 420*a[1]^2*
         a[2]^3*a[7]*a[8]*a[13] + 
        1120*a[1]^3*a[2]^3*a[7]*a[8]*
         a[13] + 25740*a[1]^8*a[2]^3*
         a[7]*a[8]*a[13] + 840*a[1]^4*
         a[2]^2*a[8]^2*a[13] + 
        4290*a[1]^9*a[2]^2*a[8]^2*
         a[13] + 9*a[2]^8*a[9]*a[13] + 
        6435*a[1]^4*a[2]^8*a[9]*a[13] + 
        2520*a[1]^3*a[2]^4*a[5]*a[9]*
         a[13] + 51480*a[1]^7*a[2]^4*
         a[5]*a[9]*a[13] + 60*a[1]^2*
         a[5]^2*a[9]*a[13] + 252*a[1]^6*
         a[5]^2*a[9]*a[13] + 858*a[1]^10*
         a[5]^2*a[9]*a[13] + 
        120*a[1]*a[2]^3*a[6]*a[9]*
         a[13] + 2520*a[1]^4*a[2]^3*a[6]*
         a[9]*a[13] + 25740*a[1]^8*
         a[2]^3*a[6]*a[9]*a[13] + 
        420*a[1]^3*a[2]^2*a[7]*a[9]*
         a[13] + 1512*a[1]^5*a[2]^2*a[7]*
         a[9]*a[13] + 8580*a[1]^9*a[2]^2*
         a[7]*a[9]*a[13] + 336*a[1]^5*
         a[2]*a[8]*a[9]*a[13] + 
        504*a[1]^6*a[2]*a[8]*a[9]*
         a[13] + 1716*a[1]^10*a[2]*a[8]*
         a[9]*a[13] + 72*a[1]^7*a[9]^2*
         a[13] + 78*a[1]^11*a[9]^2*
         a[13] + 360*a[1]^2*a[2]^7*a[10]*
         a[13] + 10296*a[1]^5*a[2]^7*
         a[10]*a[13] + 20*a[2]^3*a[5]*
         a[10]*a[13] + 5040*a[1]^5*
         a[2]^3*a[5]*a[10]*a[13] + 
        25740*a[1]^8*a[2]^3*a[5]*a[10]*
         a[13] + 180*a[1]^2*a[2]^2*a[6]*
         a[10]*a[13] + 2520*a[1]^6*
         a[2]^2*a[6]*a[10]*a[13] + 
        8580*a[1]^9*a[2]^2*a[6]*a[10]*
         a[13] + 210*a[1]^4*a[2]*a[7]*
         a[10]*a[13] + 720*a[1]^7*a[2]*
         a[7]*a[10]*a[13] + 1716*a[1]^10*
         a[2]*a[7]*a[10]*a[13] + 
        56*a[1]^6*a[8]*a[10]*a[13] + 
        90*a[1]^8*a[8]*a[10]*a[13] + 
        156*a[1]^11*a[8]*a[10]*a[13] + 
        2310*a[1]^4*a[2]^6*a[11]*a[13] + 
        12012*a[1]^6*a[2]^6*a[11]*
         a[13] + 60*a[1]*a[2]^2*a[5]*
         a[11]*a[13] + 3960*a[1]^7*
         a[2]^2*a[5]*a[11]*a[13] + 
        8580*a[1]^9*a[2]^2*a[5]*a[11]*
         a[13] + 120*a[1]^3*a[2]*a[6]*
         a[11]*a[13] + 990*a[1]^8*a[2]*
         a[6]*a[11]*a[13] + 1716*a[1]^10*
         a[2]*a[6]*a[11]*a[13] + 
        42*a[1]^5*a[7]*a[11]*a[13] + 
        110*a[1]^9*a[7]*a[11]*a[13] + 
        156*a[1]^11*a[7]*a[11]*a[13] + 
        5544*a[1]^6*a[2]^5*a[12]*a[13] + 
        10296*a[1]^7*a[2]^5*a[12]*
         a[13] + 60*a[1]^2*a[2]*a[5]*
         a[12]*a[13] + 1320*a[1]^9*a[2]*
         a[5]*a[12]*a[13] + 1716*a[1]^10*
         a[2]*a[5]*a[12]*a[13] + 
        30*a[1]^4*a[6]*a[12]*a[13] + 
        132*a[1]^10*a[6]*a[12]*a[13] + 
        156*a[1]^11*a[6]*a[12]*a[13] + 
        6435*a[1]^8*a[2]^4*a[13]^2 + 
        10*a[1]^3*a[5]*a[13]^2 + 
        156*a[1]^11*a[5]*a[13]^2 + 
        9*a[3]^8*(a[5]*a[9] + 
          55*a[1]*a[2]^2*a[11] + 
          220*a[1]^3*a[2]*a[12] + 
          143*a[1]^5*a[13]) + 
        1092*a[1]^2*a[2]^11*a[5]*a[14] + 
        72072*a[1]^5*a[2]^7*a[5]^2*
         a[14] + 60060*a[1]^8*a[2]^3*
         a[5]^3*a[14] + 4004*a[1]^3*
         a[2]^10*a[6]*a[14] + 
        168168*a[1]^6*a[2]^6*a[5]*a[6]*
         a[14] + 60*a[2]^2*a[5]^2*a[6]*
         a[14] + 180*a[1]*a[2]^2*a[5]^2*
         a[6]*a[14] + 60060*a[1]^9*
         a[2]^2*a[5]^2*a[6]*a[14] + 
        72072*a[1]^7*a[2]^5*a[6]^2*
         a[14] + 60*a[1]*a[2]*a[5]*
         a[6]^2*a[14] + 360*a[1]^2*a[2]*
         a[5]*a[6]^2*a[14] + 
        12012*a[1]^10*a[2]*a[5]*a[6]^2*
         a[14] + 60*a[1]^3*a[6]^3*
         a[14] + 364*a[1]^11*a[6]^3*
         a[14] + 10010*a[1]^4*a[2]^9*
         a[7]*a[14] + 42*a[2]^5*a[5]*
         a[7]*a[14] + 144144*a[1]^7*
         a[2]^5*a[5]*a[7]*a[14] + 
        120*a[1]*a[2]*a[5]^2*a[7]*
         a[14] + 420*a[1]^3*a[2]*a[5]^2*
         a[7]*a[14] + 12012*a[1]^10*a[2]*
         a[5]^2*a[7]*a[14] + 
        30*a[2]^4*a[6]*a[7]*a[14] + 
        210*a[1]*a[2]^4*a[6]*a[7]*
         a[14] + 90090*a[1]^8*a[2]^4*
         a[6]*a[7]*a[14] + 60*a[1]^2*
         a[5]*a[6]*a[7]*a[14] + 
        120*a[1]^3*a[5]*a[6]*a[7]*
         a[14] + 210*a[1]^4*a[5]*a[6]*
         a[7]*a[14] + 2184*a[1]^11*a[5]*
         a[6]*a[7]*a[14] + 420*a[1]^2*
         a[2]^3*a[7]^2*a[14] + 
        20020*a[1]^9*a[2]^3*a[7]^2*
         a[14] + 18018*a[1]^5*a[2]^8*
         a[8]*a[14] + 840*a[1]^2*a[2]^4*
         a[5]*a[8]*a[14] + 90090*a[1]^8*
         a[2]^4*a[5]*a[8]*a[14] + 
        60*a[1]^2*a[5]^2*a[8]*a[14] + 
        168*a[1]^5*a[5]^2*a[8]*a[14] + 
        1092*a[1]^11*a[5]^2*a[8]*a[14] + 
        120*a[1]*a[2]^3*a[6]*a[8]*
         a[14] + 1120*a[1]^3*a[2]^3*a[6]*
         a[8]*a[14] + 40040*a[1]^9*
         a[2]^3*a[6]*a[8]*a[14] + 
        420*a[1]^3*a[2]^2*a[7]*a[8]*
         a[14] + 840*a[1]^4*a[2]^2*a[7]*
         a[8]*a[14] + 12012*a[1]^10*
         a[2]^2*a[7]*a[8]*a[14] + 
        336*a[1]^5*a[2]*a[8]^2*a[14] + 
        1092*a[1]^11*a[2]*a[8]^2*a[14] + 
        72*a[1]*a[2]^7*a[9]*a[14] + 
        24024*a[1]^6*a[2]^7*a[9]*a[14] + 
        20*a[2]^3*a[5]*a[9]*a[14] + 
        2520*a[1]^4*a[2]^3*a[5]*a[9]*
         a[14] + 40040*a[1]^9*a[2]^3*
         a[5]*a[9]*a[14] + 180*a[1]^2*
         a[2]^2*a[6]*a[9]*a[14] + 
        1512*a[1]^5*a[2]^2*a[6]*a[9]*
         a[14] + 12012*a[1]^10*a[2]^2*
         a[6]*a[9]*a[14] + 210*a[1]^4*
         a[2]*a[7]*a[9]*a[14] + 
        504*a[1]^6*a[2]*a[7]*a[9]*
         a[14] + 2184*a[1]^11*a[2]*a[7]*
         a[9]*a[14] + 56*a[1]^6*a[8]*
         a[9]*a[14] + 72*a[1]^7*a[8]*
         a[9]*a[14] + 182*a[1]^12*a[8]*
         a[9]*a[14] + 840*a[1]^3*a[2]^6*
         a[10]*a[14] + 24024*a[1]^7*
         a[2]^6*a[10]*a[14] + 
        60*a[1]*a[2]^2*a[5]*a[10]*
         a[14] + 2520*a[1]^6*a[2]^2*a[5]*
         a[10]*a[14] + 12012*a[1]^10*
         a[2]^2*a[5]*a[10]*a[14] + 
        120*a[1]^3*a[2]*a[6]*a[10]*
         a[14] + 720*a[1]^7*a[2]*a[6]*
         a[10]*a[14] + 2184*a[1]^11*a[2]*
         a[6]*a[10]*a[14] + 42*a[1]^5*
         a[7]*a[10]*a[14] + 90*a[1]^8*
         a[7]*a[10]*a[14] + 182*a[1]^12*
         a[7]*a[10]*a[14] + 2772*a[1]^5*
         a[2]^5*a[11]*a[14] + 
        18018*a[1]^8*a[2]^5*a[11]*
         a[14] + 60*a[1]^2*a[2]*a[5]*
         a[11]*a[14] + 990*a[1]^8*a[2]*
         a[5]*a[11]*a[14] + 2184*a[1]^11*
         a[2]*a[5]*a[11]*a[14] + 
        30*a[1]^4*a[6]*a[11]*a[14] + 
        110*a[1]^9*a[6]*a[11]*a[14] + 
        182*a[1]^12*a[6]*a[11]*a[14] + 
        3960*a[1]^7*a[2]^4*a[12]*a[14] + 
        10010*a[1]^9*a[2]^4*a[12]*
         a[14] + 20*a[1]^3*a[5]*a[12]*
         a[14] + 132*a[1]^10*a[5]*a[12]*
         a[14] + 182*a[1]^12*a[5]*a[12]*
         a[14] + 2860*a[1]^9*a[2]^3*
         a[13]*a[14] + 4004*a[1]^10*
         a[2]^3*a[13]*a[14] + 
        1092*a[1]^11*a[2]^2*a[14]^2 + 
        2*a[4]^5*(28*a[3]^3*a[8] + 
          21*a[1]*a[7]*a[8] + 84*a[1]^2*
           a[7]*a[8] + 3*a[6]*a[9] + 
          252*a[1]^3*a[6]*a[9] + 
          630*a[1]*a[2]^4*a[10] + 
          630*a[1]^4*a[5]*a[10] + 
          252*a[3]^2*(3*a[1]*a[2]*a[9] + 
            5*a[1]^3*a[10]) + 
          4620*a[1]^3*a[2]^3*a[11] + 
          84*a[2]^2*(a[5]*a[8] + 
            99*a[1]^5*a[12]) + 
          21*a[3]*(a[6]*a[7] + 
            2*(4*a[1]*a[5]*a[8] + 
             6*a[2]^3*a[9] + 90*a[1]^2*
             a[2]^2*a[10] + 165*a[1]^4*a[
             2]*a[11] + 66*a[1]^6*a[
             12])) + 3*a[2]*(7*a[7]^2 + 
            4*a[1]*(14*a[6]*a[8] + 
             63*a[1]*a[5]*a[9] + 
             429*a[1]^6*a[13])) + 
          1001*a[1]^9*a[14]) + 
        15*a[1]*a[2]^14*a[15] + 
        15015*a[1]^4*a[2]^10*a[5]*
         a[15] + 180180*a[1]^7*a[2]^6*
         a[5]^2*a[15] + 30*a[2]^2*a[5]^3*
         a[15] + 30030*a[1]^10*a[2]^2*
         a[5]^3*a[15] + 30030*a[1]^5*
         a[2]^9*a[6]*a[15] + 
        270270*a[1]^8*a[2]^5*a[5]*a[6]*
         a[15] + 120*a[1]*a[2]*a[5]^2*
         a[6]*a[15] + 180*a[1]^2*a[2]*
         a[5]^2*a[6]*a[15] + 
        16380*a[1]^11*a[2]*a[5]^2*a[6]*
         a[15] + 30*a[2]^4*a[6]^2*
         a[15] + 75075*a[1]^9*a[2]^4*
         a[6]^2*a[15] + 30*a[1]^2*a[5]*
         a[6]^2*a[15] + 120*a[1]^3*a[5]*
         a[6]^2*a[15] + 1365*a[1]^12*
         a[5]*a[6]^2*a[15] + 
        45045*a[1]^6*a[2]^8*a[7]*a[15] + 
        210*a[1]*a[2]^4*a[5]*a[7]*
         a[15] + 150150*a[1]^9*a[2]^4*
         a[5]*a[7]*a[15] + 60*a[1]^2*
         a[5]^2*a[7]*a[15] + 105*a[1]^4*
         a[5]^2*a[7]*a[15] + 
        1365*a[1]^12*a[5]^2*a[7]*a[15] + 
        120*a[1]*a[2]^3*a[6]*a[7]*
         a[15] + 420*a[1]^2*a[2]^3*a[6]*
         a[7]*a[15] + 60060*a[1]^10*
         a[2]^3*a[6]*a[7]*a[15] + 
        420*a[1]^3*a[2]^2*a[7]^2*a[15] + 
        8190*a[1]^11*a[2]^2*a[7]^2*
         a[15] + 8*a[2]^7*a[8]*a[15] + 
        51480*a[1]^7*a[2]^7*a[8]*a[15] + 
        20*a[2]^3*a[5]*a[8]*a[15] + 
        1120*a[1]^3*a[2]^3*a[5]*a[8]*
         a[15] + 60060*a[1]^10*a[2]^3*
         a[5]*a[8]*a[15] + 180*a[1]^2*
         a[2]^2*a[6]*a[8]*a[15] + 
        840*a[1]^4*a[2]^2*a[6]*a[8]*
         a[15] + 16380*a[1]^11*a[2]^2*
         a[6]*a[8]*a[15] + 210*a[1]^4*
         a[2]*a[7]*a[8]*a[15] + 
        336*a[1]^5*a[2]*a[7]*a[8]*
         a[15] + 2730*a[1]^12*a[2]*a[7]*
         a[8]*a[15] + 56*a[1]^6*a[8]^2*
         a[15] + 105*a[1]^13*a[8]^2*
         a[15] + 252*a[1]^2*a[2]^6*a[9]*
         a[15] + 45045*a[1]^8*a[2]^6*
         a[9]*a[15] + 60*a[1]*a[2]^2*
         a[5]*a[9]*a[15] + 1512*a[1]^5*
         a[2]^2*a[5]*a[9]*a[15] + 
        16380*a[1]^11*a[2]^2*a[5]*a[9]*
         a[15] + 120*a[1]^3*a[2]*a[6]*
         a[9]*a[15] + 504*a[1]^6*a[2]*
         a[6]*a[9]*a[15] + 2730*a[1]^12*
         a[2]*a[6]*a[9]*a[15] + 
        42*a[1]^5*a[7]*a[9]*a[15] + 
        72*a[1]^7*a[7]*a[9]*a[15] + 
        210*a[1]^13*a[7]*a[9]*a[15] + 
        1260*a[1]^4*a[2]^5*a[10]*a[15] + 
        30030*a[1]^9*a[2]^5*a[10]*
         a[15] + 60*a[1]^2*a[2]*a[5]*
         a[10]*a[15] + 720*a[1]^7*a[2]*
         a[5]*a[10]*a[15] + 2730*a[1]^12*
         a[2]*a[5]*a[10]*a[15] + 
        30*a[1]^4*a[6]*a[10]*a[15] + 
        90*a[1]^8*a[6]*a[10]*a[15] + 
        210*a[1]^13*a[6]*a[10]*a[15] + 
        2310*a[1]^6*a[2]^4*a[11]*a[15] + 
        15015*a[1]^10*a[2]^4*a[11]*
         a[15] + 20*a[1]^3*a[5]*a[11]*
         a[15] + 110*a[1]^9*a[5]*a[11]*
         a[15] + 210*a[1]^13*a[5]*a[11]*
         a[15] + 1980*a[1]^8*a[2]^3*
         a[12]*a[15] + 5460*a[1]^11*
         a[2]^3*a[12]*a[15] + 
        858*a[1]^10*a[2]^2*a[13]*a[15] + 
        1365*a[1]^12*a[2]^2*a[13]*
         a[15] + 2*a[2]*a[14]*a[15] + 
        182*a[1]^12*a[2]*a[14]*a[15] + 
        210*a[1]^13*a[2]*a[14]*a[15] + 
        15*a[1]^14*a[15]^2 + 
        a[3]^7*(8*a[8]^2 + 
          3*(110*a[2]^4*a[11] + 
            2640*a[1]^2*a[2]^3*a[12] + 
            8580*a[1]^4*a[2]^2*a[13] + 
            8*a[2]*(3*a[6]*a[9] + 
             30*a[1]*a[5]*a[10] + 
             1001*a[1]^6*a[14]) + 
            a[1]*(24*a[7]*a[9] + 
             5*a[1]*(24*a[6]*a[10] + 
             88*a[1]*a[5]*a[11] + 
             429*a[1]^6*a[15])))) + 
        560*a[1]^3*a[2]^13*a[16] + 
        80080*a[1]^6*a[2]^9*a[5]*a[16] + 
        240240*a[1]^9*a[2]^5*a[5]^2*
         a[16] + 60*a[1]*a[2]*a[5]^3*
         a[16] + 7280*a[1]^12*a[2]*
         a[5]^3*a[16] + 102960*a[1]^7*
         a[2]^8*a[6]*a[16] + 
        30*a[2]^4*a[5]*a[6]*a[16] + 
        240240*a[1]^10*a[2]^4*a[5]*a[6]*
         a[16] + 60*a[1]^2*a[5]^2*a[6]*
         a[16] + 60*a[1]^3*a[5]^2*a[6]*
         a[16] + 1680*a[1]^13*a[5]^2*
         a[6]*a[16] + 120*a[1]*a[2]^3*
         a[6]^2*a[16] + 43680*a[1]^11*
         a[2]^3*a[6]^2*a[16] + 
        102960*a[1]^8*a[2]^7*a[7]*
         a[16] + 20*a[2]^3*a[5]*a[7]*
         a[16] + 420*a[1]^2*a[2]^3*a[5]*
         a[7]*a[16] + 87360*a[1]^11*
         a[2]^3*a[5]*a[7]*a[16] + 
        180*a[1]^2*a[2]^2*a[6]*a[7]*
         a[16] + 420*a[1]^3*a[2]^2*a[6]*
         a[7]*a[16] + 21840*a[1]^12*
         a[2]^2*a[6]*a[7]*a[16] + 
        210*a[1]^4*a[2]*a[7]^2*a[16] + 
        1680*a[1]^13*a[2]*a[7]^2*a[16] + 
        56*a[1]*a[2]^6*a[8]*a[16] + 
        80080*a[1]^9*a[2]^6*a[8]*a[16] + 
        60*a[1]*a[2]^2*a[5]*a[8]*a[16] + 
        840*a[1]^4*a[2]^2*a[5]*a[8]*
         a[16] + 21840*a[1]^12*a[2]^2*
         a[5]*a[8]*a[16] + 120*a[1]^3*
         a[2]*a[6]*a[8]*a[16] + 
        336*a[1]^5*a[2]*a[6]*a[8]*
         a[16] + 3360*a[1]^13*a[2]*a[6]*
         a[8]*a[16] + 42*a[1]^5*a[7]*
         a[8]*a[16] + 56*a[1]^6*a[7]*
         a[8]*a[16] + 240*a[1]^14*a[7]*
         a[8]*a[16] + 504*a[1]^3*a[2]^5*
         a[9]*a[16] + 48048*a[1]^10*
         a[2]^5*a[9]*a[16] + 
        60*a[1]^2*a[2]*a[5]*a[9]*a[16] + 
        504*a[1]^6*a[2]*a[5]*a[9]*
         a[16] + 3360*a[1]^13*a[2]*a[5]*
         a[9]*a[16] + 30*a[1]^4*a[6]*
         a[9]*a[16] + 72*a[1]^7*a[6]*
         a[9]*a[16] + 240*a[1]^14*a[6]*
         a[9]*a[16] + 1260*a[1]^5*a[2]^4*
         a[10]*a[16] + 21840*a[1]^11*
         a[2]^4*a[10]*a[16] + 
        20*a[1]^3*a[5]*a[10]*a[16] + 
        90*a[1]^8*a[5]*a[10]*a[16] + 
        240*a[1]^14*a[5]*a[10]*a[16] + 
        1320*a[1]^7*a[2]^3*a[11]*a[16] + 
        7280*a[1]^12*a[2]^3*a[11]*
         a[16] + 660*a[1]^9*a[2]^2*a[12]*
         a[16] + 1680*a[1]^13*a[2]^2*
         a[12]*a[16] + 2*a[2]*a[13]*
         a[16] + 156*a[1]^11*a[2]*a[13]*
         a[16] + 240*a[1]^14*a[2]*a[13]*
         a[16] + 14*a[1]^13*a[14]*
         a[16] + 16*a[1]^15*a[14]*
         a[16] + 6188*a[1]^5*a[2]^12*
         a[17] + 218790*a[1]^8*a[2]^8*
         a[5]*a[17] + 185640*a[1]^11*
         a[2]^4*a[5]^2*a[17] + 
        30*a[1]^2*a[5]^3*a[17] + 
        680*a[1]^14*a[5]^3*a[17] + 
        194480*a[1]^9*a[2]^7*a[6]*
         a[17] + 20*a[2]^3*a[5]*a[6]*
         a[17] + 120*a[1]*a[2]^3*a[5]*
         a[6]*a[17] + 123760*a[1]^12*
         a[2]^3*a[5]*a[6]*a[17] + 
        180*a[1]^2*a[2]^2*a[6]^2*a[17] + 
        14280*a[1]^13*a[2]^2*a[6]^2*
         a[17] + 7*a[2]^6*a[7]*a[17] + 
        136136*a[1]^10*a[2]^6*a[7]*
         a[17] + 60*a[1]*a[2]^2*a[5]*
         a[7]*a[17] + 420*a[1]^3*a[2]^2*
         a[5]*a[7]*a[17] + 28560*a[1]^13*
         a[2]^2*a[5]*a[7]*a[17] + 
        120*a[1]^3*a[2]*a[6]*a[7]*
         a[17] + 210*a[1]^4*a[2]*a[6]*
         a[7]*a[17] + 4080*a[1]^14*a[2]*
         a[6]*a[7]*a[17] + 42*a[1]^5*
         a[7]^2*a[17] + 136*a[1]^15*
         a[7]^2*a[17] + 168*a[1]^2*
         a[2]^5*a[8]*a[17] + 
        74256*a[1]^11*a[2]^5*a[8]*
         a[17] + 60*a[1]^2*a[2]*a[5]*
         a[8]*a[17] + 336*a[1]^5*a[2]*
         a[5]*a[8]*a[17] + 4080*a[1]^14*
         a[2]*a[5]*a[8]*a[17] + 
        30*a[1]^4*a[6]*a[8]*a[17] + 
        56*a[1]^6*a[6]*a[8]*a[17] + 
        272*a[1]^15*a[6]*a[8]*a[17] + 
        630*a[1]^4*a[2]^4*a[9]*a[17] + 
        30940*a[1]^12*a[2]^4*a[9]*
         a[17] + 20*a[1]^3*a[5]*a[9]*
         a[17] + 72*a[1]^7*a[5]*a[9]*
         a[17] + 272*a[1]^15*a[5]*a[9]*
         a[17] + 840*a[1]^6*a[2]^3*a[10]*
         a[17] + 9520*a[1]^13*a[2]^3*
         a[10]*a[17] + 495*a[1]^8*a[2]^2*
         a[11]*a[17] + 2040*a[1]^14*
         a[2]^2*a[11]*a[17] + 
        2*a[2]*a[12]*a[17] + 132*a[1]^10*
         a[2]*a[12]*a[17] + 272*a[1]^15*
         a[2]*a[12]*a[17] + 13*a[1]^12*
         a[13]*a[17] + 17*a[1]^16*a[13]*
         a[17] + 7*a[3]^6*
         (36*a[1]*a[5]^2*a[9] + 
          36*a[1]^2*a[9]^2 + 8*a[1]*a[8]*
           a[10] + 120*a[1]^3*a[8]*
           a[10] + a[7]*a[11] + 
          330*a[1]^4*a[7]*a[11] + 
          792*a[1]*a[2]^5*a[12] + 
          792*a[1]^5*a[6]*a[12] + 
          8580*a[1]^3*a[2]^4*a[13] + 
          4*a[5]*(2*a[6]*a[8] + 
            30*a[2]^3*a[10] + 495*a[1]^2*
             a[2]^2*a[11] + 990*a[1]^4*
             a[2]*a[12] + 429*a[1]^6*
             a[13]) + 24024*a[1]^5*
           a[2]^3*a[14] + 36*a[2]^2*
           (a[7]*a[9] + 10*a[1]*a[6]*
             a[10] + 715*a[1]^7*a[15]) + 
          8*a[2]*((1 + 9*a[1])*a[8]*
             a[9] + 5*a[1]^2*
             (9*a[7]*a[10] + 33*a[1]*a[
             6]*a[11] + 286*a[1]^7*a[
             16])) + 1768*a[1]^11*
           a[17]) + a[4]^4*
         (30*a[6]^2*a[7] + 105*a[1]*
           a[6]^2*a[7] + 210*a[1]*a[5]*
           a[7]^2 + 30*a[5]*a[6]*a[8] + 
          840*a[1]^2*a[5]*a[6]*a[8] + 
          630*a[1]*a[3]^4*a[9] + 
          1260*a[1]^3*a[5]^2*a[9] + 
          630*a[1]^4*a[9]^2 + 280*a[1]^3*
           a[8]*a[10] + 1260*a[1]^5*a[8]*
           a[10] + 2310*a[1]*a[2]^6*
           a[11] + 105*a[1]^2*a[7]*
           a[11] + 2310*a[1]^6*a[7]*
           a[11] + 210*a[3]^3*
           (6*a[2]^2*a[9] + 60*a[1]^2*
             a[2]*a[10] + 55*a[1]^4*
             a[11]) + 27720*a[1]^3*
           a[2]^5*a[12] + 30*a[1]*a[6]*
           a[12] + 3960*a[1]^7*a[6]*
           a[12] + 5*a[5]*a[13] + 
          6435*a[1]^8*a[5]*a[13] + 
          630*a[2]^4*(a[5]*a[9] + 
            143*a[1]^5*a[13]) + 
          15*a[3]^2*(7*a[7]^2 + 
            4*(210*a[1]*a[2]^3*a[10] + 
             1155*a[1]^3*a[2]^2*a[11] + 
             14*a[2]*(a[5]*a[8] + 
             99*a[1]^5*a[12]) + 
             a[1]*(14*a[6]*a[8] + 
             63*a[1]*a[5]*a[9] + 429*
             a[1]^6*a[13]))) + 
          280*a[2]^3*(a[7]*a[8] + 
            9*a[1]*a[6]*a[9] + 45*a[1]^2*
             a[5]*a[10] + 429*a[1]^7*
             a[14]) + 105*a[2]^2*
           (8*a[1]*a[8]^2 + a[7]*a[9] + 
            36*a[1]^2*a[7]*a[9] + 
            120*a[1]^3*a[6]*a[10] + 
            330*a[1]^4*a[5]*a[11] + 
            715*a[1]^9*a[15]) + 
          15*a[3]*(7*a[5]^2*a[7] + 
            56*a[1]^2*a[8]^2 + 
            14*a[1]*a[7]*a[9] + 
            168*a[1]^3*a[7]*a[9] + 
            84*a[2]^5*a[10] + 2*a[6]*
             a[10] + 420*a[1]^4*a[6]*
             a[10] + 2310*a[1]^2*a[2]^4*
             a[11] + 84*a[5]*
             (6*a[1]*a[2]^2*a[9] + 
             20*a[1]^3*a[2]*a[10] + 
             11*a[1]^5*a[11]) + 
            9240*a[1]^4*a[2]^3*a[12] + 
            28*a[2]^2*(2*a[6]*a[8] + 
             429*a[1]^6*a[13]) + 
            14*a[2]*((1 + 8*a[1])*a[7]*a[
             8] + 36*a[1]^2*a[6]*a[9] + 
             429*a[1]^8*a[14]) + 
            1001*a[1]^10*a[15]) + 
          30*a[2]*(28*a[1]*a[5]^2*a[8] + 
            28*a[1]^2*a[8]*a[9] + 
            84*a[1]^3*a[8]*a[9] + 
            7*a[1]*a[7]*a[10] + 
            210*a[1]^4*a[7]*a[10] + 
            a[6]*a[11] + 462*a[1]^5*a[6]*
             a[11] + 7*a[5]*(a[6]*a[7] + 
             132*a[1]^6*a[12]) + 
            728*a[1]^11*a[16]) + 
          4*a[17] + 2380*a[1]^13*
           a[17]) + 31824*a[1]^7*a[2]^11*
         a[18] + 350064*a[1]^10*a[2]^7*
         a[5]*a[18] + 20*a[2]^3*a[5]^2*
         a[18] + 85680*a[1]^13*a[2]^3*
         a[5]^2*a[18] + 222768*a[1]^11*
         a[2]^6*a[6]*a[18] + 
        60*a[1]*a[2]^2*a[5]*a[6]*a[18] + 
        180*a[1]^2*a[2]^2*a[5]*a[6]*
         a[18] + 36720*a[1]^14*a[2]^2*
         a[5]*a[6]*a[18] + 120*a[1]^3*
         a[2]*a[6]^2*a[18] + 
        2448*a[1]^15*a[2]*a[6]^2*a[18] + 
        42*a[1]*a[2]^5*a[7]*a[18] + 
        111384*a[1]^12*a[2]^5*a[7]*
         a[18] + 60*a[1]^2*a[2]*a[5]*
         a[7]*a[18] + 210*a[1]^4*a[2]*
         a[5]*a[7]*a[18] + 4896*a[1]^15*
         a[2]*a[5]*a[7]*a[18] + 
        30*a[1]^4*a[6]*a[7]*a[18] + 
        42*a[1]^5*a[6]*a[7]*a[18] + 
        306*a[1]^16*a[6]*a[7]*a[18] + 
        280*a[1]^3*a[2]^4*a[8]*a[18] + 
        42840*a[1]^13*a[2]^4*a[8]*
         a[18] + 20*a[1]^3*a[5]*a[8]*
         a[18] + 56*a[1]^6*a[5]*a[8]*
         a[18] + 306*a[1]^16*a[5]*a[8]*
         a[18] + 504*a[1]^5*a[2]^3*a[9]*
         a[18] + 12240*a[1]^14*a[2]^3*
         a[9]*a[18] + 360*a[1]^7*a[2]^2*
         a[10]*a[18] + 2448*a[1]^15*
         a[2]^2*a[10]*a[18] + 
        2*a[2]*a[11]*a[18] + 110*a[1]^9*
         a[2]*a[11]*a[18] + 306*a[1]^16*
         a[2]*a[11]*a[18] + 12*a[1]^11*
         a[12]*a[18] + 18*a[1]^17*a[12]*
         a[18] + 92378*a[1]^9*a[2]^10*
         a[19] + 352716*a[1]^12*a[2]^6*
         a[5]*a[19] + 60*a[1]*a[2]^2*
         a[5]^2*a[19] + 23256*a[1]^15*
         a[2]^2*a[5]^2*a[19] + 
        6*a[2]^5*a[6]*a[19] + 
        162792*a[1]^13*a[2]^5*a[6]*
         a[19] + 60*a[1]^2*a[2]*a[5]*
         a[6]*a[19] + 120*a[1]^3*a[2]*
         a[5]*a[6]*a[19] + 5814*a[1]^16*
         a[2]*a[5]*a[6]*a[19] + 
        30*a[1]^4*a[6]^2*a[19] + 
        171*a[1]^17*a[6]^2*a[19] + 
        105*a[1]^2*a[2]^4*a[7]*a[19] + 
        58140*a[1]^14*a[2]^4*a[7]*
         a[19] + 20*a[1]^3*a[5]*a[7]*
         a[19] + 42*a[1]^5*a[5]*a[7]*
         a[19] + 342*a[1]^17*a[5]*a[7]*
         a[19] + 280*a[1]^4*a[2]^3*a[8]*
         a[19] + 15504*a[1]^15*a[2]^3*
         a[8]*a[19] + 252*a[1]^6*a[2]^2*
         a[9]*a[19] + 2907*a[1]^16*
         a[2]^2*a[9]*a[19] + 
        2*a[2]*a[10]*a[19] + 
        90*a[1]^8*a[2]*a[10]*a[19] + 
        342*a[1]^17*a[2]*a[10]*a[19] + 
        11*a[1]^10*a[11]*a[19] + 
        19*a[1]^18*a[11]*a[19] + 
        3*a[3]^5*(7*a[7]^3 + 2*a[7]*
           (7*(1 + 8*a[1])*a[6]*a[8] + 
            7*a[5]*a[9] + 252*a[1]^2*
             a[5]*a[9] + 840*a[1]*a[2]^3*
             a[10] + 4620*a[1]^3*a[2]^2*
             a[11] + 7*a[2]*
             (8*a[5]*a[8] + (1 + 792*
             a[1]^5)*a[12]) + 7*a[1]*
             a[13] + 1716*a[1]^7*
             a[13]) + 2*(56*a[1]*a[5]*
             a[8]^2 + 462*a[1]^5*a[9]*
             a[11] + 105*a[1]^4*
             (2*a[10]^2 + 11*a[5]^2*a[
             11]) + 84*a[1]^3*
             (10*a[5]*a[6]*a[10] + 
             a[9]*a[11]) + 132*a[2]^7*
             a[12] + 924*a[1]^6*a[8]*
             a[12] + 14*a[1]^2*
             (9*a[6]^2*a[9] + 2*a[8]*a[
             12]) + 6006*a[1]^2*a[2]^6*
             a[13] + 42042*a[1]^4*a[2]^5*
             a[14] + a[6]*a[14] + 
            3003*a[1]^8*a[6]*a[14] + 
            5005*a[1]^9*a[5]*a[15] + 
            105*a[2]^4*(2*a[6]*a[10] + 
             22*a[1]*a[5]*a[11] + 
             1001*a[1]^6*a[15]) + 
            84*a[2]^3*(a[8]*a[9] + 
             55*a[1]^2*(a[6]*a[11] + 
             4*a[1]*a[5]*a[12] + 
             26*a[1]^6*a[16])) + 
            14*a[2]^2*(9*a[5]^2*a[9] + 
             18*a[1]*a[9]^2 + 2*a[8]*a[
             10] + 90*a[1]^2*a[8]*a[
             10] + 990*a[1]^4*a[6]*a[
             12] + 2574*a[1]^5*a[5]*a[
             13] + 4862*a[1]^10*a[17]) + 
            14*a[2]*(2*a[6]^2*a[8] + 
             6*a[6]*(6*a[1]*a[5]*a[9] + 
             143*a[1]^6*a[13]) + 
             a[1]*(60*a[1]^2*a[9]*
             a[10] + 18*a[1]*(5*a[5]^2 + 
             a[9])*a[10] + 4*a[8]*
             a[11] + 165*a[1]^3*a[8]*
             a[11] + 1716*a[1]^6*a[5]*
             a[14] + 1326*a[1]^11*
             a[18])) + 1938*a[1]^14*
             a[19])) + 167960*a[1]^11*
         a[2]^9*a[20] + 232560*a[1]^14*
         a[2]^5*a[5]*a[20] + 
        60*a[1]^2*a[2]*a[5]^2*a[20] + 
        3420*a[1]^17*a[2]*a[5]^2*a[20] + 
        30*a[1]*a[2]^4*a[6]*a[20] + 
        77520*a[1]^15*a[2]^4*a[6]*
         a[20] + 20*a[1]^3*a[5]*a[6]*
         a[20] + 30*a[1]^4*a[5]*a[6]*
         a[20] + 380*a[1]^18*a[5]*a[6]*
         a[20] + 140*a[1]^3*a[2]^3*a[7]*
         a[20] + 19380*a[1]^16*a[2]^3*
         a[7]*a[20] + 168*a[1]^5*a[2]^2*
         a[8]*a[20] + 3420*a[1]^17*
         a[2]^2*a[8]*a[20] + 2*a[2]*a[9]*
         a[20] + 72*a[1]^7*a[2]*a[9]*
         a[20] + 380*a[1]^18*a[2]*a[9]*
         a[20] + 10*a[1]^9*a[10]*a[20] + 
        20*a[1]^19*a[10]*a[20] + 
        4*a[4]^3*(15*a[3]*a[6]*a[7]^2 + 
          210*a[1]*a[3]*a[6]*a[7]^2 + 
          30*a[3]*a[6]^2*a[8] + 
          420*a[1]^2*a[3]*a[6]^2*a[8] + 
          35*a[3]^3*a[7]*a[8] + 
          280*a[1]*a[3]^3*a[7]*a[8] + 
          105*a[1]^2*a[7]^2*a[8] + 
          140*a[1]^3*a[7]^2*a[8] + 
          15*a[1]*a[6]*a[8]^2 + 
          280*a[1]^3*a[6]*a[8]^2 + 
          35*a[5]^3*(a[2]*a[7] + 
            4*a[1]^2*a[8]) + 1260*a[1]^2*
           a[3]^3*a[6]*a[9] + 
          30*a[1]*a[6]*a[7]*a[9] + 
          105*a[1]^2*a[6]*a[7]*a[9] + 
          630*a[1]^4*a[6]*a[7]*a[9] + 
          420*a[1]^2*a[3]^2*a[8]*a[9] + 
          1260*a[1]^3*a[3]^2*a[8]*a[9] + 
          630*a[1]^2*a[3]^5*a[10] + 
          30*a[1]*a[6]^2*a[10] + 
          630*a[1]^5*a[6]^2*a[10] + 
          105*a[1]*a[3]^2*a[7]*a[10] + 
          3150*a[1]^4*a[3]^2*a[7]*
           a[10] + 630*a[1]^4*a[3]*a[9]*
           a[10] + 1260*a[1]^5*a[3]*a[9]*
           a[10] + 15*a[3]^2*a[6]*
           a[11] + 6930*a[1]^5*a[3]^2*
           a[6]*a[11] + 280*a[1]^3*a[3]*
           a[8]*a[11] + 2310*a[1]^6*a[3]*
           a[8]*a[11] + 3*a[10]*a[11] + 
          210*a[1]^6*a[10]*a[11] + 
          330*a[1]^7*a[10]*a[11] + 
          495*a[1]*a[2]^8*a[12] + 
          6930*a[1]^5*a[3]^4*a[12] + 
          105*a[1]^2*a[3]*a[7]*a[12] + 
          3960*a[1]^7*a[3]*a[7]*a[12] + 
          3*a[9]*a[12] + 126*a[1]^5*a[9]*
           a[12] + 495*a[1]^8*a[9]*
           a[12] + 5*a[5]^2*
           (3*(1 + 7*a[1])*a[6]*a[7] + 
            84*a[1]*a[3]^2*a[8] + 
            252*a[1]*a[2]^3*a[9] + 
            630*a[1]^4*a[3]*a[10] + 
            84*a[2]^2*(a[3]*a[8] + 
             15*a[1]^3*a[10]) + 
            126*a[2]*(6*a[1]^2*a[3]*a[
             9] + 11*a[1]^5*a[11]) + 
            a[12] + 396*a[1]^7*a[12]) + 
          30*a[1]*a[3]*a[6]*a[13] + 
          6435*a[1]^8*a[3]*a[6]*a[13] + 
          3*a[8]*a[13] + 70*a[1]^4*a[8]*
           a[13] + 715*a[1]^9*a[8]*
           a[13] + 330*a[2]^7*
           (a[3]*a[11] + 26*a[1]^3*
             a[13]) + 15015*a[1]^8*
           a[3]^3*a[14] + 3*a[7]*a[14] + 
          35*a[1]^3*a[7]*a[14] + 
          1001*a[1]^10*a[7]*a[14] + 
          462*a[2]^6*(30*a[1]^2*a[3]*
             a[12] + 91*a[1]^5*a[14]) + 
          3*a[6]*a[15] + 15*a[1]^2*a[6]*
           a[15] + 1365*a[1]^11*a[6]*
           a[15] + 126*a[2]^5*
           (a[7]*a[9] + 5*a[1]*
             (2*a[6]*a[10] + 11*(a[3]^2*
             a[11] + 13*a[1]^3*a[3]*
             a[13] + 13*a[1]^6*
             a[15]))) + 10920*a[1]^11*
           a[3]^2*a[16] + a[5]*
           (15*a[6]^3 + 70*a[3]^4*a[8] + 
            210*a[1]*a[3]*a[7]*a[8] + 
            840*a[1]^2*a[3]*a[7]*a[8] + 
            5*a[8]*a[9] + 280*a[1]^3*
             a[8]*a[9] + 630*a[1]^4*a[8]*
             a[9] + 210*a[2]^6*a[10] + 
            4200*a[1]^3*a[3]^3*a[10] + 
            5*a[7]*a[10] + 105*a[1]^2*
             a[7]*a[10] + 1260*a[1]^5*
             a[7]*a[10] + 6930*a[1]^2*
             a[2]^5*a[11] + 5*a[6]*
             (21*a[3]^2*a[7] + 56*a[2]^
             3*a[8] + 756*a[1]^2*a[2]^2*
             a[9] + 6*a[3]*(56*a[1]*a[2]*
             a[8] + a[9] + 84*a[1]^3*
             a[9]) + 6*(1 + 210*a[1]^4)*
             a[2]*a[10] + (1 + 6*a[1] + 
             462*a[1]^6)*a[11]) + 
            13860*a[1]^6*a[3]^2*a[12] + 
            3150*a[2]^4*(2*a[1]*a[3]*a[
             10] + 11*a[1]^4*a[12]) + 
            420*a[2]^3*(3*a[3]^2*a[9] + 
             110*a[1]^3*a[3]*a[11] + 
             143*a[1]^6*a[13]) + 
            5*a[3]*a[14] + 10010*a[1]^9*
             a[3]*a[14] + 105*a[2]^2*
             ((1 + 8*a[1])*a[7]*a[8] + 
             180*a[1]^2*a[3]^2*a[10] + 
             792*a[1]^5*a[3]*a[12] + 
             429*a[1]^8*a[14]) + 
            5*a[2]*(168*a[1]^2*a[8]^2 + 
             504*a[1]*a[3]^3*a[9] + 
             42*a[1]*a[7]*a[9] + 
             504*a[1]^3*a[7]*a[9] + 
             6930*a[1]^4*a[3]^2*a[11] + 
             6*a[3]*(7*a[7]^2 + 1716*
             a[1]^7*a[13]) + a[15] + 
             3003*a[1]^10*a[15]) + 
            3*a[16] + 5*a[1]*a[16] + 
            1820*a[1]^12*a[16]) + 
          70*a[2]^4*((1 + 9*a[1])*a[8]*
             a[9] + 15*a[3]^3*a[10] + 
            990*a[1]^3*a[3]^2*a[12] + 
            a[3]*(9*a[6]*a[9] + 
             3003*a[1]^6*a[14]) + 
            5*a[1]^2*(9*a[7]*a[10] + 
             33*a[1]*a[6]*a[11] + 
             286*a[1]^7*a[16])) + 
          35*a[2]^3*(36*a[1]^2*a[9]^2 + 
            8*a[1]*a[8]*a[10] + 
            120*a[1]^3*a[8]*a[10] + 
            660*a[1]^2*a[3]^3*a[11] + 
            a[7]*a[11] + 330*a[1]^4*a[7]*
             a[11] + 792*a[1]^5*a[6]*
             a[12] + 5148*a[1]^5*a[3]^2*
             a[13] + a[3]*(8*a[8]^2 + 
             9*a[1]*(8*a[7]*a[9] + 
             40*a[1]*a[6]*a[10] + 
             715*a[1]^7*a[15])) + 
            1768*a[1]^11*a[17]) + 
          3*a[3]*a[18] + 3060*a[1]^14*
           a[3]*a[18] + 15*a[2]^2*
           (28*a[1]*a[6]^2*a[8] + 
            a[6]*(7*a[7]^2 + 252*a[1]*
             a[3]^2*a[9] + 2310*a[1]^4*a[
             3]*a[11] + a[13] + 
             1716*a[1]^7*a[13]) + 
            7*(30*a[1]*a[3]^4*a[10] + 
             660*a[1]^4*a[3]^3*a[12] + 
             4*a[3]^2*(a[7]*a[8] + 
             429*a[1]^7*a[14]) + 
             a[3]*(8*a[1]*a[8]*a[9] + 
             36*a[1]^2*a[8]*a[9] + 
             a[7]*a[10] + 120*a[1]^3*
             a[7]*a[10] + 1144*a[1]^10*
             a[16]) + a[1]*(12*a[1]^2*
             a[9]*a[10] + 30*a[1]^3*a[9]*
             a[10] + 4*a[1]*a[8]*a[11] + 
             66*a[1]^4*a[8]*a[11] + 
             a[7]*a[12] + 132*a[1]^5*
             a[7]*a[12] + 204*a[1]^12*
             a[18]))) + a[2]*
           (126*a[3]^5*a[9] + 
            1260*a[1]^5*a[10]^2 + 
            11550*a[1]^3*a[3]^4*a[11] + 
            630*a[1]^4*a[9]*a[11] + 
            2310*a[1]^6*a[9]*a[11] + 
            3960*a[1]^7*a[8]*a[12] + 
            140*a[1]^3*(9*a[6]^2*a[9] + 
             2*a[8]*a[12]) + 6435*a[1]^8*
             a[7]*a[13] + 105*a[1]^2*
             a[7]*(8*a[6]*a[8] + 
             a[13]) + 140*a[3]^3*
             (2*a[6]*a[8] + 429*a[1]^6*a[
             13]) + 10010*a[1]^9*a[6]*
             a[14] + 15*a[1]*(7*a[7]^3 + 
             14*a[6]*a[7]*a[8] + 
             2*a[6]*a[14]) + 105*a[3]^2*
             (8*a[1]*a[8]^2 + a[7]*a[
             9] + 36*a[1]^2*a[7]*a[9] + 
             120*a[1]^3*a[6]*a[10] + 
             715*a[1]^9*a[15]) + 
            5*a[3]*(21*a[6]^2*a[7] + 
             6*(1 + 924*a[1]^6)*a[6]*a[
             12] + 14*a[1]*(36*a[1]^2*
             a[9]^2 + 12*a[1]*a[8]*
             a[10] + 90*a[1]^3*a[8]*
             a[10] + 3*a[7]*a[11] + 
             198*a[1]^4*a[7]*a[11] + 
             442*a[1]^11*a[17])) + 
            3876*a[1]^15*a[19] + 
            3*(10*a[6]*a[7]*a[8] + 
             10*a[6]^2*a[9] + a[19])) + 
          3*a[1]*a[20] + 285*a[1]^17*
           a[20]) + 203490*a[1]^13*
         a[2]^8*a[21] + 5*a[2]^4*a[5]*
         a[21] + 101745*a[1]^16*a[2]^4*
         a[5]*a[21] + 20*a[1]^3*a[5]^2*
         a[21] + 210*a[1]^19*a[5]^2*
         a[21] + 60*a[1]^2*a[2]^3*a[6]*
         a[21] + 23940*a[1]^17*a[2]^3*
         a[6]*a[21] + 105*a[1]^4*a[2]^2*
         a[7]*a[21] + 3990*a[1]^18*
         a[2]^2*a[7]*a[21] + 2*a[2]*a[8]*
         a[21] + 56*a[1]^6*a[2]*a[8]*
         a[21] + 420*a[1]^19*a[2]*a[8]*
         a[21] + 9*a[1]^8*a[9]*a[21] + 
        21*a[1]^20*a[9]*a[21] + 
        5*a[3]^4*(21*a[1]*a[7]*a[8]^2 + 
          168*a[1]^2*a[7]*a[8]^2 + 
          42*a[1]*a[7]^2*a[9] + 
          252*a[1]^3*a[7]^2*a[9] + 
          6*a[6]*a[8]*a[9] + 168*a[1]^2*
           a[6]*a[8]*a[9] + 504*a[1]^3*
           a[6]*a[8]*a[9] + 28*a[5]^3*
           (2*a[2]*a[8] + 9*a[1]^2*
             a[9]) + 6*a[6]*a[7]*a[10] + 
          42*a[1]*a[6]*a[7]*a[10] + 
          1260*a[1]^4*a[6]*a[7]*a[10] + 
          6*a[6]^2*a[11] + 1386*a[1]^5*
           a[6]^2*a[11] + 462*a[1]^6*
           a[11]^2 + 252*a[1]^5*a[10]*
           a[12] + 792*a[1]^7*a[10]*
           a[12] + 1287*a[1]*a[2]^8*
           a[13] + 126*a[1]^4*a[9]*
           a[13] + 1287*a[1]^8*a[9]*
           a[13] + 3*a[5]^2*(7*a[7]^2 + 
            4*a[1]*(14*a[6]*a[8] + 
             3*(70*a[2]^3*a[10] + 
             385*a[1]^2*a[2]^2*a[11] + 
             462*a[1]^4*a[2]*a[12] + 
             143*a[1]^6*a[13]))) + 
          24024*a[1]^3*a[2]^7*a[14] + 
          56*a[1]^3*a[8]*a[14] + 
          2002*a[1]^9*a[8]*a[14] + 
          126126*a[1]^5*a[2]^6*a[15] + 
          21*a[1]^2*a[7]*a[15] + 
          3003*a[1]^10*a[7]*a[15] + 
          6*a[1]*a[6]*a[16] + 
          4368*a[1]^11*a[6]*a[16] + 
          252*a[2]^5*(a[7]*a[10] + 
            11*a[1]*a[6]*a[11] + 
            1144*a[1]^7*a[16]) + 
          a[5]*(21*a[6]^2*a[7] + 
            504*a[1]^3*a[9]^2 + 
            168*a[1]^2*a[8]*a[10] + 
            1260*a[1]^4*a[8]*a[10] + 
            462*a[2]^6*a[11] + 
            42*a[1]*a[7]*a[11] + 
            2772*a[1]^5*a[7]*a[11] + 
            16632*a[1]^2*a[2]^5*a[12] + 
            6*a[6]*(84*a[2]^3*a[9] + 
             1260*a[1]^2*a[2]^2*a[10] + 
             2310*a[1]^4*a[2]*a[11] + 
             (1 + 924*a[1]^6)*a[12]) + 
            90090*a[1]^4*a[2]^4*a[13] + 
            168168*a[1]^6*a[2]^3*a[14] + 
            21*a[2]^2*(8*a[8]^2 + 
             72*a[1]*a[7]*a[9] + 
             6435*a[1]^8*a[15]) + 
            42*a[2]*(8*a[1]*a[8]*a[9] + 
             36*a[1]^2*a[8]*a[9] + 
             a[7]*a[10] + 120*a[1]^3*a[
             7]*a[10] + 1144*a[1]^10*a[
             16]) + a[17] + 6188*a[1]^12*
             a[17]) + 14*a[2]^4*
           (9*a[9]^2 + 5*a[1]*
             (18*a[8]*a[10] + 11*a[1]*(
             9*a[7]*a[11] + 36*a[1]*a[6]*
             a[12] + 442*a[1]^7*
             a[17]))) + 56*a[2]^3*
           (9*a[1]*a[9]*a[10] + 
            45*a[1]^2*a[9]*a[10] + 
            a[8]*a[11] + 165*a[1]^3*a[8]*
             a[11] + 495*a[1]^4*a[7]*
             a[12] + 1287*a[1]^5*a[6]*
             a[13] + 3978*a[1]^11*
             a[18]) + 21*a[2]^2*
           (36*a[1]*a[6]^2*a[9] + 
            120*a[1]^3*a[10]^2 + 
            36*a[1]^2*a[9]*a[11] + 
            330*a[1]^4*a[9]*a[11] + 
            8*a[1]*a[8]*a[12] + 
            792*a[1]^5*a[8]*a[12] + 
            a[7]*a[13] + 1716*a[1]^6*
             a[7]*a[13] + 8*a[6]*
             (a[7]*a[8] + 429*a[1]^7*a[
             14]) + 3876*a[1]^13*
             a[19]) + 6*a[2]*
           (7*(1 + 4*a[1])*a[7]^2*a[8] + 
            56*a[1]*a[6]*a[8]^2 + 
            210*a[1]^4*a[10]*a[11] + 
            462*a[1]^5*a[10]*a[11] + 
            924*a[1]^6*a[9]*a[12] + 
            84*a[1]^3*(5*a[6]^2*a[10] + 
             a[9]*a[12]) + 28*a[1]^2*
             a[8]*a[13] + 1716*a[1]^7*
             a[8]*a[13] + 7*a[7]*
             ((1 + 36*a[1]^2)*a[6]*a[
             9] + a[1]*(1 + 429*a[1]^7)*
             a[14]) + a[6]*a[15] + 
            5005*a[1]^9*a[6]*a[15] + 
            2584*a[1]^15*a[20]) + 
          1197*a[1]^17*a[21]) + 
        170544*a[1]^15*a[2]^7*a[22] + 
        20*a[1]*a[2]^3*a[5]*a[22] + 
        29260*a[1]^18*a[2]^3*a[5]*
         a[22] + 60*a[1]^3*a[2]^2*a[6]*
         a[22] + 4620*a[1]^19*a[2]^2*
         a[6]*a[22] + 2*a[2]*a[7]*
         a[22] + 42*a[1]^5*a[2]*a[7]*
         a[22] + 462*a[1]^20*a[2]*a[7]*
         a[22] + 8*a[1]^7*a[8]*a[22] + 
        22*a[1]^21*a[8]*a[22] + 
        100947*a[1]^17*a[2]^6*a[23] + 
        30*a[1]^2*a[2]^2*a[5]*a[23] + 
        5313*a[1]^20*a[2]^2*a[5]*a[23] + 
        2*a[2]*a[6]*a[23] + 30*a[1]^4*
         a[2]*a[6]*a[23] + 506*a[1]^21*
         a[2]*a[6]*a[23] + 7*a[1]^6*a[7]*
         a[23] + 23*a[1]^22*a[7]*a[23] + 
        a[3]^3*(35*a[5]^4*a[7] + 
          60*a[6]^2*a[7]^2 + 420*a[1]*
           a[6]^2*a[7]^2 + 60*a[6]^3*
           a[8] + 560*a[1]^2*a[6]^3*
           a[8] + 1120*a[1]^3*a[8]^2*
           a[9] + 1260*a[1]^4*a[8]^2*
           a[9] + 210*a[1]^2*a[7]*
           a[9]^2 + 2520*a[1]^4*a[7]*
           a[9]^2 + 420*a[1]^2*a[7]*a[8]*
           a[10] + 1120*a[1]^3*a[7]*a[8]*
           a[10] + 5040*a[1]^5*a[7]*a[8]*
           a[10] + 120*a[1]*a[6]*a[9]*
           a[10] + 2520*a[1]^4*a[6]*a[9]*
           a[10] + 5040*a[1]^5*a[6]*a[9]*
           a[10] + 420*a[1]^2*a[7]^2*
           a[11] + 4620*a[1]^6*a[7]^2*
           a[11] + 120*a[1]*a[6]*a[8]*
           a[11] + 1120*a[1]^3*a[6]*a[8]*
           a[11] + 9240*a[1]^6*a[6]*a[8]*
           a[11] + 840*a[5]^3*
           (6*a[1]*a[2]^2*a[9] + 
            20*a[1]^3*a[2]*a[10] + 
            11*a[1]^5*a[11]) + 
          120*a[1]*a[6]*a[7]*a[12] + 
          420*a[1]^2*a[6]*a[7]*a[12] + 
          15840*a[1]^7*a[6]*a[7]*a[12] + 
          1980*a[1]^8*a[12]^2 + 
          286*a[2]^10*a[13] + 
          120*a[1]*a[6]^2*a[13] + 
          12870*a[1]^8*a[6]^2*a[13] + 
          1320*a[1]^7*a[11]*a[13] + 
          2860*a[1]^9*a[11]*a[13] + 
          20020*a[1]^2*a[2]^9*a[14] + 
          840*a[1]^6*a[10]*a[14] + 
          4004*a[1]^10*a[10]*a[14] + 
          225225*a[1]^4*a[2]^8*a[15] + 
          504*a[1]^5*a[9]*a[15] + 
          5460*a[1]^11*a[9]*a[15] + 
          10*a[5]^2*(168*a[1]^2*a[8]^2 + 
            42*a[1]*a[7]*a[9] + 
            504*a[1]^3*a[7]*a[9] + 
            252*a[2]^5*a[10] + 
            6*a[6]*a[10] + 1260*a[1]^4*
             a[6]*a[10] + 6930*a[1]^2*
             a[2]^4*a[11] + 27720*a[1]^4*
             a[2]^3*a[12] + 84*a[2]^2*
             (2*a[6]*a[8] + 429*a[1]^6*a[
             13]) + 42*a[2]*
             ((1 + 8*a[1])*a[7]*a[8] + 
             36*a[1]^2*a[6]*a[9] + 
             429*a[1]^8*a[14]) + 
            2*a[15] + 3003*a[1]^10*
             a[15]) + 280*a[1]^4*a[8]*
           a[16] + 7280*a[1]^12*a[8]*
           a[16] + 1320*a[2]^7*
           (a[6]*a[11] + 728*a[1]^6*
             a[16]) + 140*a[1]^3*a[7]*
           a[17] + 9520*a[1]^13*a[7]*
           a[17] + 840*a[2]^6*
           (a[8]*a[10] + 11*a[1]*
             (a[7]*a[11] + 6*a[1]*a[6]*a[
             12] + 221*a[1]^7*a[17])) + 
          60*a[1]^2*a[6]*a[18] + 
          12240*a[1]^14*a[6]*a[18] + 
          504*a[2]^5*((1 + 10*a[1])*a[9]*
             a[10] + 11*a[1]^2*
             (5*a[8]*a[11] + a[1]*(
             20*a[7]*a[12] + 65*a[1]*
             a[6]*a[13] + 442*a[1]^7*
             a[18]))) + 140*a[2]^4*
           (9*a[6]^2*a[9] + 90*a[1]^2*
             a[10]^2 + 18*a[1]*a[9]*
             a[11] + 330*a[1]^3*a[9]*
             a[11] + 2*a[8]*a[12] + 
            990*a[1]^4*a[8]*a[12] + 
            2574*a[1]^5*a[7]*a[13] + 
            6006*a[1]^6*a[6]*a[14] + 
            12597*a[1]^12*a[19]) + 
          2*a[5]*(2520*a[1]^5*a[10]^2 + 
            1260*a[1]^4*a[9]*a[11] + 
            4620*a[1]^6*a[9]*a[11] + 
            7920*a[1]*a[2]^7*a[12] + 
            7920*a[1]^7*a[8]*a[12] + 
            280*a[1]^3*(9*a[6]^2*a[9] + 
             2*a[8]*a[12]) + 120120*
             a[1]^3*a[2]^6*a[13] + 
            12870*a[1]^8*a[7]*a[13] + 
            210*a[1]^2*a[7]*
             (8*a[6]*a[8] + a[13]) + 
            504504*a[1]^5*a[2]^5*a[14] + 
            20020*a[1]^9*a[6]*a[14] + 
            5*(12*a[6]^2*a[9] + 
             a[10]^2 + 2*a[9]*a[11] + 
             2*a[8]*a[12] + 2*a[7]*a[
             13] + 2*a[6]*(6*a[7]*a[8] + 
             a[14])) + 1260*a[2]^4*
             (a[7]*a[9] + 10*a[1]*a[6]*a[
             10] + 715*a[1]^7*a[15]) + 
            560*a[2]^3*((1 + 9*a[1])*a[
             8]*a[9] + 5*a[1]^2*(9*a[7]*
             a[10] + 33*a[1]*a[6]*
             a[11] + 286*a[1]^7*
             a[16])) + 210*a[2]^2*
             (36*a[1]^2*a[9]^2 + 
             8*a[1]*a[8]*a[10] + 
             120*a[1]^3*a[8]*a[10] + 
             a[7]*a[11] + 330*a[1]^4*a[
             7]*a[11] + 792*a[1]^5*a[6]*
             a[12] + 1768*a[1]^11*a[
             17]) + 10*a[2]*
             (168*a[1]*a[6]^2*a[8] + 
             504*a[1]^3*a[9]*a[10] + 
             1260*a[1]^4*a[9]*a[10] + 
             168*a[1]^2*a[8]*a[11] + 
             2772*a[1]^5*a[8]*a[11] + 
             42*a[1]*a[7]*a[12] + 
             5544*a[1]^6*a[7]*a[12] + 
             6*a[6]*(7*a[7]^2 + a[13] + 
             1716*a[1]^7*a[13]) + 
             a[18] + 8568*a[1]^13*a[
             18]) + 7752*a[1]^15*a[19] + 
            10*a[1]*(21*a[7]^3 + 
             42*a[6]*a[7]*a[8] + 
             6*a[6]*a[14] + a[19])) + 
          20*a[2]^3*(28*a[7]^2*a[8] + 
            1260*a[1]^2*a[6]^2*a[10] + 
            7*a[7]*(72*a[1]*a[6]*a[9] + 
             a[14] + 3432*a[1]^7*a[
             14]) + 7*a[6]*(8*a[8]^2 + 
             6435*a[1]^8*a[15]) + 
            2*a[1]*(420*a[1]^2*a[10]*a[
             11] + 1155*a[1]^3*a[10]*a[
             11] + 126*a[1]*a[9]*a[12] + 
             2772*a[1]^4*a[9]*a[12] + 
             28*a[8]*a[13] + 6006*a[1]^
             5*a[8]*a[13] + 19380*a[1]^
             13*a[20])) + 30*a[2]^2*
           (14*(1 + 18*a[1]^2)*a[7]^2*
             a[9] + 112*a[1]*a[6]*a[8]*
             a[9] + 924*a[1]^5*a[11]^2 + 
            1848*a[1]^6*a[10]*a[12] + 
            210*a[1]^4*(11*a[6]^2*a[
             11] + 2*a[10]*a[12]) + 
            168*a[1]^3*a[9]*a[13] + 
            3432*a[1]^7*a[9]*a[13] + 
            6006*a[1]^8*a[8]*a[14] + 
            56*a[1]^2*a[8]*(9*a[6]*a[
             9] + a[14]) + 7*a[7]*
             ((1 + 16*a[1])*a[8]^2 + 
             2*((1 + 120*a[1]^3)*a[6]*
             a[10] + a[1]*(1 + 715*a[1]^
             8)*a[15])) + 2*a[6]*a[16] + 
            16016*a[1]^10*a[6]*a[16] + 
            6783*a[1]^16*a[21]) + 
          20*a[2]*(7*a[6]^3*a[7] + 
            6*(1 + 462*a[1]^6)*a[6]^2*
             a[12] + a[6]*
             ((3 + 504*a[1]^3)*a[9]^2 + 
             2*(3*(1 + 28*a[1]^2 + 
             210*a[1]^4)*a[8]*a[10] + 
             3*(1 + 7*a[1] + 462*a[1]^5)*
             a[7]*a[11] + a[1]*(3 + 
             3094*a[1]^11)*a[17])) + 
            a[1]*(42*a[7]*(a[8]*a[9] + 
             a[7]*a[10]) + 462*a[1]^5*a[
             11]*a[12] + 792*a[1]^6*a[
             11]*a[12] + 252*a[1]^4*a[
             10]*a[13] + 1287*a[1]^7*a[
             10]*a[13] + 2002*a[1]^8*a[
             9]*a[14] + 126*a[1]^3*(
             5*a[7]^2*a[10] + a[9]*
             a[14]) + 3003*a[1]^9*a[8]*a[
             15] + 56*a[1]^2*a[8]*(
             9*a[7]*a[9] + a[15]) + 
             4368*a[1]^10*a[7]*a[16] + 
             21*a[1]*(4*a[8]^3 + 8*a[7]*
             a[8]*a[9] + a[7]*a[16]) + 
             1463*a[1]^17*a[22])) + 
          3*a[23] + 1771*a[1]^20*
           a[23]) + a[4]^2*
         (105*a[1]*a[5]^4*a[7] + 
          180*a[2]*a[6]^3*a[7] + 
          420*a[1]*a[2]*a[6]^3*a[7] + 
          180*a[1]*a[6]^2*a[7]^2 + 
          630*a[1]^2*a[6]^2*a[7]^2 + 
          180*a[1]*a[6]^3*a[8] + 
          560*a[1]^3*a[6]^3*a[8] + 
          840*a[2]^4*a[6]*a[7]*a[8] + 
          420*a[2]^3*a[7]^2*a[8] + 
          1680*a[1]*a[2]^3*a[7]^2*a[8] + 
          3360*a[1]*a[2]^3*a[6]*a[8]^2 + 
          630*a[1]*a[2]^2*a[7]*a[8]^2 + 
          5040*a[1]^2*a[2]^2*a[7]*
           a[8]^2 + 1680*a[1]^3*a[2]*
           a[8]^3 + 36*a[3]^7*a[9] + 
          3780*a[1]*a[2]^4*a[6]^2*a[9] + 
          420*a[2]^3*a[6]*a[7]*a[9] + 
          15120*a[1]^2*a[2]^3*a[6]*a[7]*
           a[9] + 1260*a[1]*a[2]^2*
           a[7]^2*a[9] + 7560*a[1]^3*
           a[2]^2*a[7]^2*a[9] + 
          180*a[2]^2*a[6]*a[8]*a[9] + 
          5040*a[1]^2*a[2]^2*a[6]*a[8]*
           a[9] + 15120*a[1]^3*a[2]^2*
           a[6]*a[8]*a[9] + 1260*a[1]^2*
           a[2]*a[7]*a[8]*a[9] + 
          3360*a[1]^3*a[2]*a[7]*a[8]*
           a[9] + 7560*a[1]^4*a[2]*a[7]*
           a[8]*a[9] + 12*a[8]^2*a[9] + 
          840*a[1]^4*a[8]^2*a[9] + 
          756*a[1]^5*a[8]^2*a[9] + 
          252*a[2]^6*a[9]^2 + 
          180*a[1]*a[2]*a[6]*a[9]^2 + 
          7560*a[1]^4*a[2]*a[6]*a[9]^2 + 
          12*a[7]*a[9]^2 + 210*a[1]^3*
           a[7]*a[9]^2 + 1512*a[1]^5*
           a[7]*a[9]^2 + 25200*a[1]^3*
           a[2]^3*a[6]^2*a[10] + 
          360*a[2]^7*a[7]*a[10] + 
          180*a[2]^2*a[6]*a[7]*a[10] + 
          1260*a[1]*a[2]^2*a[6]*a[7]*
           a[10] + 37800*a[1]^4*a[2]^2*
           a[6]*a[7]*a[10] + 1260*a[1]^2*
           a[2]*a[7]^2*a[10] + 
          7560*a[1]^5*a[2]*a[7]^2*
           a[10] + 2520*a[1]*a[2]^6*a[8]*
           a[10] + 360*a[1]*a[2]*a[6]*
           a[8]*a[10] + 3360*a[1]^3*a[2]*
           a[6]*a[8]*a[10] + 
          15120*a[1]^5*a[2]*a[6]*a[8]*
           a[10] + 24*a[7]*a[8]*a[10] + 
          420*a[1]^3*a[7]*a[8]*a[10] + 
          840*a[1]^4*a[7]*a[8]*a[10] + 
          2520*a[1]^6*a[7]*a[8]*a[10] + 
          1512*a[1]*a[2]^5*a[9]*a[10] + 
          7560*a[1]^2*a[2]^5*a[9]*
           a[10] + 24*a[6]*a[9]*a[10] + 
          180*a[1]^2*a[6]*a[9]*a[10] + 
          1512*a[1]^5*a[6]*a[9]*a[10] + 
          2520*a[1]^6*a[6]*a[9]*a[10] + 
          12600*a[1]^3*a[2]^4*a[10]^2 + 
          3960*a[1]*a[2]^7*a[6]*a[11] + 
          180*a[2]^2*a[6]^2*a[11] + 
          41580*a[1]^5*a[2]^2*a[6]^2*
           a[11] + 13860*a[1]^2*a[2]^6*
           a[7]*a[11] + 360*a[1]*a[2]*
           a[6]*a[7]*a[11] + 1260*a[1]^2*
           a[2]*a[6]*a[7]*a[11] + 
          27720*a[1]^6*a[2]*a[6]*a[7]*
           a[11] + 12*a[7]^2*a[11] + 
          420*a[1]^3*a[7]^2*a[11] + 
          1980*a[1]^7*a[7]^2*a[11] + 
          168*a[2]^5*a[8]*a[11] + 
          27720*a[1]^3*a[2]^5*a[8]*
           a[11] + 24*a[6]*a[8]*a[11] + 
          180*a[1]^2*a[6]*a[8]*a[11] + 
          840*a[1]^4*a[6]*a[8]*a[11] + 
          3960*a[1]^7*a[6]*a[8]*a[11] + 
          3780*a[1]^2*a[2]^4*a[9]*
           a[11] + 34650*a[1]^4*a[2]^4*
           a[9]*a[11] + 12600*a[1]^4*
           a[2]^3*a[10]*a[11] + 
          27720*a[1]^5*a[2]^3*a[10]*
           a[11] + 13860*a[1]^6*a[2]^2*
           a[11]^2 + 420*a[3]^6*
           (6*a[1]*a[2]*a[10] + 
            11*a[1]^3*a[11]) + 
          10*a[5]^3*(6*a[6]^2 + 
            21*a[3]^2*a[7] + 56*a[2]^3*
             a[8] + 756*a[1]^2*a[2]^2*
             a[9] + 168*a[3]*
             (2*a[1]*a[2]*a[8] + 
             3*a[1]^3*a[9]) + 
            1260*a[1]^4*a[2]*a[10] + 
            3*a[11] + 462*a[1]^6*
             a[11]) + 55440*a[1]^3*
           a[2]^6*a[6]*a[12] + 
          360*a[1]*a[2]*a[6]^2*a[12] + 
          23760*a[1]^7*a[2]*a[6]^2*
           a[12] + 83160*a[1]^4*a[2]^5*
           a[7]*a[12] + 24*a[6]*a[7]*
           a[12] + 180*a[1]^2*a[6]*a[7]*
           a[12] + 420*a[1]^3*a[6]*a[7]*
           a[12] + 5940*a[1]^8*a[6]*a[7]*
           a[12] + 840*a[1]*a[2]^4*a[8]*
           a[12] + 83160*a[1]^5*a[2]^4*
           a[8]*a[12] + 5040*a[1]^3*
           a[2]^3*a[9]*a[12] + 
          55440*a[1]^6*a[2]^3*a[9]*
           a[12] + 7560*a[1]^5*a[2]^2*
           a[10]*a[12] + 23760*a[1]^7*
           a[2]^2*a[10]*a[12] + 
          24*a[2]*a[11]*a[12] + 
          3960*a[1]^7*a[2]*a[11]*a[12] + 
          5940*a[1]^8*a[2]*a[11]*a[12] + 
          12*a[1]*a[12]^2 + 660*a[1]^9*
           a[12]^2 + 858*a[1]*a[2]^10*
           a[13] + 216216*a[1]^5*a[2]^5*
           a[6]*a[13] + 12*a[6]^2*
           a[13] + 180*a[1]^2*a[6]^2*
           a[13] + 4290*a[1]^9*a[6]^2*
           a[13] + 105*a[2]^4*a[7]*
           a[13] + 180180*a[1]^6*a[2]^4*
           a[7]*a[13] + 1680*a[1]^2*
           a[2]^3*a[8]*a[13] + 
          102960*a[1]^7*a[2]^3*a[8]*
           a[13] + 3780*a[1]^4*a[2]^2*
           a[9]*a[13] + 38610*a[1]^8*
           a[2]^2*a[9]*a[13] + 
          24*a[2]*a[10]*a[13] + 
          2520*a[1]^6*a[2]*a[10]*a[13] + 
          8580*a[1]^9*a[2]*a[10]*a[13] + 
          24*a[1]*a[11]*a[13] + 
          495*a[1]^8*a[11]*a[13] + 
          858*a[1]^10*a[11]*a[13] + 
          84*a[3]^5*(2*a[6]*a[8] + 
            30*a[2]^3*a[10] + 495*a[1]^2*
             a[2]^2*a[11] + 990*a[1]^4*
             a[2]*a[12] + 429*a[1]^6*
             a[13]) + 20020*a[1]^3*
           a[2]^9*a[14] + 360360*a[1]^7*
           a[2]^4*a[6]*a[14] + 
          420*a[1]*a[2]^3*a[7]*a[14] + 
          180180*a[1]^8*a[2]^3*a[7]*
           a[14] + 1680*a[1]^3*a[2]^2*
           a[8]*a[14] + 60060*a[1]^9*
           a[2]^2*a[8]*a[14] + 
          24*a[2]*a[9]*a[14] + 
          1512*a[1]^5*a[2]*a[9]*a[14] + 
          12012*a[1]^10*a[2]*a[9]*
           a[14] + 24*a[1]*a[10]*a[14] + 
          360*a[1]^7*a[10]*a[14] + 
          1092*a[1]^11*a[10]*a[14] + 
          135135*a[1]^5*a[2]^8*a[15] + 
          60*a[2]^3*a[6]*a[15] + 
          300300*a[1]^9*a[2]^3*a[6]*
           a[15] + 630*a[1]^2*a[2]^2*
           a[7]*a[15] + 90090*a[1]^10*
           a[2]^2*a[7]*a[15] + 
          24*a[2]*a[8]*a[15] + 
          840*a[1]^4*a[2]*a[8]*a[15] + 
          16380*a[1]^11*a[2]*a[8]*
           a[15] + 24*a[1]*a[9]*a[15] + 
          252*a[1]^6*a[9]*a[15] + 
          1365*a[1]^12*a[9]*a[15] + 
          105*a[3]^4*(8*a[1]*a[8]^2 + 
            a[7]*a[9] + 36*a[1]^2*a[7]*
             a[9] + 120*a[1]^3*a[6]*
             a[10] + 330*a[1]*a[2]^4*
             a[11] + 2640*a[1]^3*a[2]^3*
             a[12] + 5148*a[1]^5*a[2]^2*
             a[13] + 8*a[2]*(a[7]*a[8] + 
             9*a[1]*a[6]*a[9] + 429*a[1]^
             7*a[14]) + 715*a[1]^9*
             a[15]) + 6*a[5]^2*
           (30*a[3]*a[6]*a[8] + 
            5*a[8]^2 + 280*a[1]^3*
             a[8]^2 + 10*a[7]*a[9] + 
            630*a[1]^4*a[7]*a[9] + 
            105*a[1]^2*(8*a[3]*a[6]*a[
             8] + 12*a[3]^3*a[9] + 
             a[7]*a[9]) + 1260*a[1]*
             a[2]^5*a[10] + 10*a[6]*
             a[10] + 210*a[2]^4*
             (3*a[3]*a[9] + 55*a[1]^3*a[
             11]) + 630*a[1]^5*
             (2*a[6]*a[10] + 11*a[3]^2*a[
             11]) + 2520*a[2]^3*
             (5*a[1]^2*a[3]*a[10] + 
             11*a[1]^5*a[12]) + 
            10*a[3]*a[13] + 6435*a[1]^8*
             a[3]*a[13] + 15*a[2]^2*
             (7*a[7]^2 + 2*a[1]*(28*a[6]*
             a[8] + 126*a[3]^2*a[9] + 
             1155*a[1]^3*a[3]*a[11] + 
             858*a[1]^6*a[13])) + 
            10*a[2]*(28*a[3]^3*a[8] + 
             21*a[1]*a[7]*a[8] + 
             84*a[1]^2*a[7]*a[8] + 
             3*a[6]*a[9] + 252*a[1]^3*a[
             6]*a[9] + 1260*a[1]^3*a[3]^
             2*a[10] + 21*a[3]*(a[6]*
             a[7] + 132*a[1]^6*a[12]) + 
             a[14] + 1001*a[1]^9*a[
             14]) + 2*a[15] + 
            1365*a[1]^11*a[15] + 
            10*a[1]*(21*a[3]*a[7]^2 + 
             3*a[6]*a[10] + a[15])) + 
          411840*a[1]^7*a[2]^7*a[16] + 
          180*a[1]*a[2]^2*a[6]*a[16] + 
          131040*a[1]^11*a[2]^2*a[6]*
           a[16] + 24*a[2]*a[7]*a[16] + 
          420*a[1]^3*a[2]*a[7]*a[16] + 
          21840*a[1]^12*a[2]*a[7]*
           a[16] + 24*a[1]*a[8]*a[16] + 
          168*a[1]^5*a[8]*a[16] + 
          1680*a[1]^13*a[8]*a[16] + 
          680680*a[1]^9*a[2]^6*a[17] + 
          24*a[2]*a[6]*a[17] + 
          180*a[1]^2*a[2]*a[6]*a[17] + 
          28560*a[1]^13*a[2]*a[6]*
           a[17] + 24*a[1]*a[7]*a[17] + 
          105*a[1]^4*a[7]*a[17] + 
          2040*a[1]^14*a[7]*a[17] + 
          10*a[3]^3*(21*a[6]^2*a[7] + 
            6*a[6]*(84*a[2]^3*a[9] + 
             1260*a[1]^2*a[2]^2*a[10] + 
             2310*a[1]^4*a[2]*a[11] + 
             (1 + 924*a[1]^6)*a[12]) + 
            7*(66*a[2]^6*a[11] + 
             2376*a[1]^2*a[2]^5*a[12] + 
             12870*a[1]^4*a[2]^4*a[13] + 
             24024*a[1]^6*a[2]^3*a[14] + 
             3*a[2]^2*(8*a[8]^2 + 
             72*a[1]*a[7]*a[9] + 6435*
             a[1]^8*a[15]) + 6*a[2]*(
             8*a[1]*a[8]*a[9] + 
             36*a[1]^2*a[8]*a[9] + 
             a[7]*a[10] + 120*a[1]^3*
             a[7]*a[10] + 1144*a[1]^10*
             a[16]) + 2*a[1]*(36*a[1]^2*
             a[9]^2 + 12*a[1]*a[8]*
             a[10] + 90*a[1]^3*a[8]*
             a[10] + 3*a[7]*a[11] + 
             198*a[1]^4*a[7]*a[11] + 
             442*a[1]^11*a[17]))) + 
          668304*a[1]^11*a[2]^5*a[18] + 
          24*a[1]*a[6]*a[18] + 
          60*a[1]^3*a[6]*a[18] + 
          2448*a[1]^15*a[6]*a[18] + 
          406980*a[1]^13*a[2]^4*a[19] + 
          a[5]*(10*a[7]^3 + 630*a[1]^2*
             a[7]^3 + 60*a[6]*a[7]*
             a[8] + 360*a[1]*a[6]*a[7]*
             a[8] + 1260*a[1]^2*a[6]*
             a[7]*a[8] + 3360*a[1]^3*
             a[6]*a[7]*a[8] + 1512*a[1]*
             a[3]^5*a[9] + 30*a[6]^2*
             a[9] + 360*a[1]*a[6]^2*
             a[9] + 3780*a[1]^4*a[6]^2*
             a[9] + 12*a[10]^2 + 
            30*a[1]*a[10]^2 + 
            2520*a[1]^6*a[10]^2 + 
            495*a[2]^8*a[11] + 
            34650*a[1]^4*a[3]^4*a[11] + 
            24*a[9]*a[11] + 60*a[1]*a[9]*
             a[11] + 1512*a[1]^5*a[9]*
             a[11] + 3960*a[1]^7*a[9]*
             a[11] + 23760*a[1]^2*a[2]^7*
             a[12] + 24*a[8]*a[12] + 
            60*a[1]*a[8]*a[12] + 
            840*a[1]^4*a[8]*a[12] + 
            5940*a[1]^8*a[8]*a[12] + 
            24*a[7]*a[13] + 60*a[1]*a[7]*
             a[13] + 420*a[1]^3*a[7]*
             a[13] + 8580*a[1]^9*a[7]*
             a[13] + 13860*a[2]^6*
             (2*a[1]*a[3]*a[11] + 
             13*a[1]^4*a[13]) + 
            60*a[3]^3*(7*a[7]^2 + 
             56*a[1]*a[6]*a[8] + 
             1716*a[1]^7*a[13]) + 
            24*a[6]*a[14] + 60*a[1]*a[6]*
             a[14] + 180*a[1]^2*a[6]*
             a[14] + 12012*a[1]^10*a[6]*
             a[14] + 504*a[2]^5*
             (3*a[6]*a[9] + 15*a[3]^2*a[
             10] + 660*a[1]^3*a[3]*a[
             12] + 1001*a[1]^6*a[14]) + 
            30*a[3]^2*(168*a[1]^2*a[8]^
             2 + 42*a[1]*a[7]*a[9] + 
             504*a[1]^3*a[7]*a[9] + 
             6*a[6]*a[10] + 1260*a[1]^4*
             a[6]*a[10] + a[15] + 
             3003*a[1]^10*a[15]) + 
            105*a[2]^4*(8*a[8]^2 + 
             9*a[1]*(8*a[7]*a[9] + 
             a[1]*(40*a[6]*a[10] + 
             220*a[3]^2*a[11] + 1144*
             a[1]^3*a[3]*a[13] + 715*
             a[1]^6*a[15]))) + 
            420*a[2]^3*(8*a[1]*a[8]*a[
             9] + 36*a[1]^2*a[8]*a[9] + 
             120*a[1]*a[3]^3*a[10] + 
             a[7]*a[10] + 120*a[1]^3*a[
             7]*a[10] + 330*a[1]^4*a[6]*
             a[11] + 1980*a[1]^4*a[3]^2*
             a[12] + 8*a[3]*(a[7]*a[8] + 
             9*a[1]*a[6]*a[9] + 429*
             a[1]^7*a[14]) + 1144*a[1]^
             10*a[16]) + 30*a[2]^2*
             (21*a[6]^2*a[7] + 126*a[3]^
             4*a[9] + 42*a[3]*a[7]*a[
             9] + 1260*a[1]^4*a[8]*a[
             10] + 168*a[1]^2*(9*a[3]*
             a[7]*a[9] + a[8]*a[10]) + 
             2772*a[1]^5*a[7]*a[11] + 
             168*a[1]^3*(3*a[9]^2 + 
             55*a[3]^3*a[11]) + 42*a[1]*(
             8*a[3]*a[8]^2 + a[7]*
             a[11]) + 6*a[6]*(28*a[3]^2*
             a[8] + 840*a[1]^3*a[3]*
             a[10] + (1 + 924*a[1]^6)*
             a[12]) + 36036*a[1]^6*a[3]^
             2*a[13] + 30030*a[1]^9*a[3]*
             a[15] + a[17] + 6188*a[1]^
             12*a[17]) + 6*a[3]*
             (30*(2 + 7*a[1])*a[6]^2*a[
             7] + 5*(1 + 252*a[1]^4)*
             a[9]^2 + 10*(1 + 6*a[1] + 
             792*a[1]^7)*a[6]*a[12] + 
             2*(5*(1 + 56*a[1]^3 + 
             252*a[1]^5)*a[8]*a[10] + 
             5*(1 + 21*a[1]^2 + 462*
             a[1]^6)*a[7]*a[11] + 
             (2 + 5*a[1] + 2380*a[1]^13)*
             a[17])) + 12*a[2]*
             (30*(1 + 14*a[1]^2)*a[6]^2*
             a[8] + 3150*a[1]^2*a[3]^4*a[
             10] + 5*a[9]*a[10] + 
             630*a[1]^4*a[9]*a[10] + 
             1260*a[1]^5*a[9]*a[10] + 
             5*a[8]*a[11] + 280*a[1]^3*a[
             8]*a[11] + 2310*a[1]^6*a[8]*
             a[11] + 27720*a[1]^5*a[3]^
             3*a[12] + 5*a[7]*a[12] + 
             105*a[1]^2*a[7]*a[12] + 
             3960*a[1]^7*a[7]*a[12] + 
             5*a[6]*((3 + 42*a[1])*
             a[7]^2 + 756*a[1]^2*a[3]^2*
             a[9] + 6*a[3]*a[11] + 
             2772*a[1]^5*a[3]*a[11] + 
             a[13] + 6*a[1]*a[13] + 
             1287*a[1]^8*a[13]) + 
             105*a[3]^2*((1 + 8*a[1])*
             a[7]*a[8] + 429*a[1]^8*
             a[14]) + 5*a[3]*(168*a[1]^2*
             a[8]*a[9] + 504*a[1]^3*a[8]*
             a[9] + 42*a[1]*a[7]*a[10] + 
             1260*a[1]^4*a[7]*a[10] + 
             a[16] + 4368*a[1]^11*
             a[16]) + 2*a[18] + 5*a[1]*a[
             18] + 3060*a[1]^14*a[18]) + 
            24*a[1]*a[19] + 30*a[1]^2*
             a[19] + 2907*a[1]^16*
             a[19]) + 6*a[3]^2*
           (1260*a[1]^5*a[10]^2 + 
            630*a[1]^4*a[9]*a[11] + 
            2310*a[1]^6*a[9]*a[11] + 
            3960*a[1]*a[2]^7*a[12] + 
            3960*a[1]^7*a[8]*a[12] + 
            140*a[1]^3*(9*a[6]^2*a[9] + 
             2*a[8]*a[12]) + 60060*
             a[1]^3*a[2]^6*a[13] + 
            6435*a[1]^8*a[7]*a[13] + 
            105*a[1]^2*a[7]*
             (8*a[6]*a[8] + a[13]) + 
            252252*a[1]^5*a[2]^5*a[14] + 
            10010*a[1]^9*a[6]*a[14] + 
            15*a[1]*(7*a[7]^3 + 
             14*a[6]*a[7]*a[8] + 
             2*a[6]*a[14]) + 630*a[2]^4*
             (a[7]*a[9] + 10*a[1]*a[6]*a[
             10] + 715*a[1]^7*a[15]) + 
            280*a[2]^3*((1 + 9*a[1])*a[
             8]*a[9] + 5*a[1]^2*(9*a[7]*
             a[10] + 33*a[1]*a[6]*
             a[11] + 286*a[1]^7*
             a[16])) + 105*a[2]^2*
             (36*a[1]^2*a[9]^2 + 
             8*a[1]*a[8]*a[10] + 
             120*a[1]^3*a[8]*a[10] + 
             a[7]*a[11] + 330*a[1]^4*a[
             7]*a[11] + 792*a[1]^5*a[6]*
             a[12] + 1768*a[1]^11*a[
             17]) + 30*a[2]*
             (28*a[1]*a[6]^2*a[8] + 
             a[6]*(7*a[7]^2 + a[13] + 
             1716*a[1]^7*a[13]) + 
             7*a[1]*(12*a[1]^2*a[9]*
             a[10] + 30*a[1]^3*a[9]*
             a[10] + 4*a[1]*a[8]*a[11] + 
             66*a[1]^4*a[8]*a[11] + 
             a[7]*a[12] + 132*a[1]^5*
             a[7]*a[12] + 204*a[1]^12*
             a[18])) + 3876*a[1]^15*
             a[19] + 2*(15*a[6]*a[7]*a[
             8] + 15*a[6]^2*a[9] + 
             a[19])) + 155040*a[1]^15*
           a[2]^3*a[20] + 12*a[2]^2*
           a[21] + 35910*a[1]^17*a[2]^2*
           a[21] + 3*a[3]*(20*a[6]^4 + 
            210*a[1]^2*a[7]*a[8]^2 + 
            1120*a[1]^3*a[7]*a[8]^2 + 
            420*a[1]^2*a[7]^2*a[9] + 
            1260*a[1]^4*a[7]^2*a[9] + 
            4*a[11]^2 + 1320*a[1]^7*
             a[11]^2 + 20*a[6]^2*
             (28*a[2]^3*a[8] + 378*a[1]^
             2*a[2]^2*a[9] + 6*(1 + 
             105*a[1]^4)*a[2]*a[10] + 
             3*a[1]*(2 + 77*a[1]^5)*a[
             11]) + 220*a[2]^9*a[12] + 
            8*a[10]*a[12] + 840*a[1]^6*
             a[10]*a[12] + 1980*a[1]^8*
             a[10]*a[12] + 12870*a[1]^2*
             a[2]^8*a[13] + 8*a[9]*
             a[13] + 504*a[1]^5*a[9]*
             a[13] + 2860*a[1]^9*a[9]*
             a[13] + 120120*a[1]^4*
             a[2]^7*a[14] + 8*a[8]*
             a[14] + 280*a[1]^4*a[8]*
             a[14] + 4004*a[1]^10*a[8]*
             a[14] + 420420*a[1]^6*
             a[2]^6*a[15] + 8*a[7]*
             a[15] + 140*a[1]^3*a[7]*
             a[15] + 5460*a[1]^11*a[7]*
             a[15] + 504*a[2]^5*
             (a[8]*a[9] + 10*a[1]*a[7]*a[
             10] + 1430*a[1]^8*a[16]) + 
            4*a[6]*(30*a[1]*a[8]*a[9] + 
             280*a[1]^3*a[8]*a[9] + 
             630*a[1]^4*a[8]*a[9] + 
             210*a[2]^6*a[10] + 
             30*a[1]*a[7]*a[10] + 
             105*a[1]^2*a[7]*a[10] + 
             1260*a[1]^5*a[7]*a[10] + 
             6930*a[1]^2*a[2]^5*a[11] + 
             34650*a[1]^4*a[2]^4*a[12] + 
             60060*a[1]^6*a[2]^3*a[13] + 
             15*a[2]^2*(7*(1 + 8*a[1])*
             a[7]*a[8] + (1 + 3003*a[1]^
             8)*a[14]) + 15*a[2]*(
             (1 + 56*a[1]^2)*a[8]^2 + 
             2*(1 + 7*a[1] + 84*a[1]^3)*
             a[7]*a[9] + a[1]*(2 + 
             1001*a[1]^9)*a[15]) + 
             2*a[16] + 15*a[1]^2*a[16] + 
             1820*a[1]^12*a[16]) + 
            280*a[2]^4*(9*a[1]*a[9]^2 + 
             a[8]*a[10] + 45*a[1]^2*a[8]*
             a[10] + 165*a[1]^3*a[7]*a[
             11] + 2431*a[1]^10*a[17]) + 
            140*a[2]^3*(36*a[1]^2*a[9]*a[
             10] + 120*a[1]^3*a[9]*a[
             10] + 8*a[1]*a[8]*a[11] + 
             330*a[1]^4*a[8]*a[11] + 
             a[7]*a[12] + 792*a[1]^5*a[
             7]*a[12] + 2652*a[1]^12*a[
             18]) + 30*a[2]^2*
             (7*a[7]^3 + 2*a[1]*(7 + 
             1716*a[1]^6)*a[7]*a[13] + 
             4*a[1]^2*(105*a[1]^2*a[10]^
             2 + 42*a[1]*a[9]*a[11] + 
             231*a[1]^3*a[9]*a[11] + 
             14*a[8]*a[12] + 462*a[1]^4*
             a[8]*a[12] + 969*a[1]^12*
             a[19])) + 4*a[2]*
             (210*a[1]*a[7]^2*a[8] + 
             1260*a[1]^5*a[10]*a[11] + 
             2310*a[1]^6*a[10]*a[11] + 
             630*a[1]^4*a[9]*a[12] + 
             3960*a[1]^7*a[9]*a[12] + 
             280*a[1]^3*a[8]*a[13] + 
             6435*a[1]^8*a[8]*a[13] + 
             10010*a[1]^9*a[7]*a[14] + 
             105*a[1]^2*a[7]*(4*a[7]*
             a[8] + a[14]) + 2*a[20] + 
             4845*a[1]^16*a[20]) + 
            a[21] + 8*a[1]*a[21] + 
            1330*a[1]^18*a[21]) + 
          24*a[1]*a[2]*a[22] + 
          4620*a[1]^19*a[2]*a[22] + 
          12*a[1]^2*a[23] + 253*a[1]^21*
           a[23]) + 42504*a[1]^19*a[2]^5*
         a[24] + 2*a[2]*a[5]*a[24] + 
        20*a[1]^3*a[2]*a[5]*a[24] + 
        552*a[1]^22*a[2]*a[5]*a[24] + 
        6*a[1]^5*a[6]*a[24] + 
        24*a[1]^23*a[6]*a[24] + 
        12650*a[1]^21*a[2]^4*a[25] + 
        5*a[1]^4*a[5]*a[25] + 
        25*a[1]^24*a[5]*a[25] + 
        3*a[3]^2*(70*a[1]^2*a[7]^4 + 
          60*a[1]*a[6]*a[7]^2*a[8] + 
          420*a[1]^2*a[6]*a[7]^2*a[8] + 
          560*a[1]^3*a[6]*a[7]^2*a[8] + 
          60*a[1]*a[6]^2*a[8]^2 + 
          560*a[1]^3*a[6]^2*a[8]^2 + 
          120*a[1]*a[6]^2*a[7]*a[9] + 
          210*a[1]^2*a[6]^2*a[7]*a[9] + 
          1260*a[1]^4*a[6]^2*a[7]*a[9] + 
          252*a[1]^5*a[9]^3 + 140*a[5]^4*
           (2*a[1]*a[2]*a[8] + 3*a[1]^3*
             a[9]) + 60*a[1]*a[6]^3*
           a[10] + 840*a[1]^5*a[6]^3*
           a[10] + 280*a[1]^4*a[8]*a[9]*
           a[10] + 504*a[1]^5*a[8]*a[9]*
           a[10] + 840*a[1]^6*a[8]*a[9]*
           a[10] + 70*a[1]^3*a[7]*
           a[10]^2 + 840*a[1]^6*a[7]*
           a[10]^2 + 280*a[1]^4*a[8]^2*
           a[11] + 660*a[1]^7*a[8]^2*
           a[11] + 140*a[1]^3*a[7]*a[9]*
           a[11] + 504*a[1]^5*a[7]*a[9]*
           a[11] + 1320*a[1]^7*a[7]*a[9]*
           a[11] + 60*a[1]^2*a[6]*a[10]*
           a[11] + 840*a[1]^6*a[6]*a[10]*
           a[11] + 1320*a[1]^7*a[6]*
           a[10]*a[11] + 140*a[1]^3*a[7]*
           a[8]*a[12] + 280*a[1]^4*a[7]*
           a[8]*a[12] + 1980*a[1]^8*a[7]*
           a[8]*a[12] + 60*a[1]^2*a[6]*
           a[9]*a[12] + 504*a[1]^5*a[6]*
           a[9]*a[12] + 1980*a[1]^8*a[6]*
           a[9]*a[12] + 140*a[1]^3*
           a[7]^2*a[13] + 1430*a[1]^9*
           a[7]^2*a[13] + 60*a[1]^2*a[6]*
           a[8]*a[13] + 280*a[1]^4*a[6]*
           a[8]*a[13] + 2860*a[1]^9*a[6]*
           a[8]*a[13] + a[13]^2 + 
          286*a[1]^10*a[13]^2 + 
          10*a[5]^3*(14*a[1]*a[7]^2 + 
            2*a[6]*a[8] + 56*a[1]^2*a[6]*
             a[8] + 42*a[2]^4*a[9] + 
            840*a[1]^2*a[2]^3*a[10] + 
            2310*a[1]^4*a[2]^2*a[11] + 
            14*a[2]*(a[6]*a[7] + 
             132*a[1]^6*a[12]) + a[13] + 
            429*a[1]^8*a[13]) + 
          364*a[1]*a[2]^11*a[14] + 
          60*a[1]^2*a[6]*a[7]*a[14] + 
          140*a[1]^3*a[6]*a[7]*a[14] + 
          4004*a[1]^10*a[6]*a[7]*a[14] + 
          2*a[12]*a[14] + 220*a[1]^9*
           a[12]*a[14] + 364*a[1]^11*
           a[12]*a[14] + 10010*a[1]^3*
           a[2]^10*a[15] + 60*a[1]^2*
           a[6]^2*a[15] + 2730*a[1]^11*
           a[6]^2*a[15] + 2*a[11]*
           a[15] + 165*a[1]^8*a[11]*
           a[15] + 455*a[1]^12*a[11]*
           a[15] + 80080*a[1]^5*a[2]^9*
           a[16] + 2*a[10]*a[16] + 
          120*a[1]^7*a[10]*a[16] + 
          560*a[1]^13*a[10]*a[16] + 
          2*a[9]*a[17] + 84*a[1]^6*a[9]*
           a[17] + 680*a[1]^14*a[9]*
           a[17] + 165*a[2]^8*
           (a[7]*a[11] + 12*a[1]*a[6]*
             a[12] + 1768*a[1]^7*
             a[17]) + 10*a[5]^2*
           (3*(2 + 7*a[1])*a[6]^2*a[7] + 
            a[9]^2 + 126*a[1]^4*a[9]^2 + 
            2*a[8]*a[10] + 56*a[1]^3*
             a[8]*a[10] + 252*a[1]^5*
             a[8]*a[10] + 462*a[1]*
             a[2]^6*a[11] + 2*a[7]*
             a[11] + 21*a[1]^2*a[7]*
             a[11] + 462*a[1]^6*a[7]*
             a[11] + 5544*a[1]^3*a[2]^5*
             a[12] + 2*a[6]*(1260*a[1]^
             3*a[2]^2*a[10] + 3*a[2]*a[
             11] + 1386*a[1]^5*a[2]*a[
             11] + a[12] + 396*a[1]^7*a[
             12] + 3*a[1]*(84*a[2]^3*
             a[9] + a[12])) + 
            18018*a[1]^5*a[2]^4*a[13] + 
            56*a[2]^3*(a[7]*a[8] + 
             429*a[1]^7*a[14]) + 
            21*a[2]^2*(8*a[1]*a[8]^2 + 
             a[7]*a[9] + 36*a[1]^2*a[7]*
             a[9] + 715*a[1]^9*a[15]) + 
            2*a[2]*(84*a[1]^2*a[8]*a[
             9] + 252*a[1]^3*a[8]*a[9] + 
             21*a[1]*a[7]*a[10] + 
             630*a[1]^4*a[7]*a[10] + 
             a[16] + 2184*a[1]^11*a[
             16]) + 2*a[1]*a[17] + 
            476*a[1]^13*a[17]) + 
          2*a[8]*a[18] + 56*a[1]^5*a[8]*
           a[18] + 816*a[1]^15*a[8]*
           a[18] + 120*a[2]^7*
           (a[9]*a[10] + 11*a[1]*
             (a[8]*a[11] + 6*a[1]*a[7]*a[
             12] + 26*a[1]^2*a[6]*a[
             13] + 442*a[1]^8*a[18])) + 
          2*a[7]*a[19] + 35*a[1]^4*a[7]*
           a[19] + 969*a[1]^16*a[7]*
           a[19] + 84*a[2]^6*
           (10*a[1]*a[10]^2 + 
            a[9]*a[11] + 55*a[1]^2*a[9]*
             a[11] + 220*a[1]^3*a[8]*
             a[12] + 715*a[1]^4*a[7]*
             a[13] + 2002*a[1]^5*a[6]*
             a[14] + 8398*a[1]^11*
             a[19]) + 2*a[6]*a[20] + 
          20*a[1]^3*a[6]*a[20] + 
          1140*a[1]^17*a[6]*a[20] + 
          56*a[2]^5*(45*a[1]*a[6]^2*
             a[10] + 45*a[1]^2*a[10]*
             a[11] + 165*a[1]^3*a[10]*
             a[11] + 9*a[1]*a[9]*a[12] + 
            495*a[1]^4*a[9]*a[12] + 
            a[8]*a[13] + 1287*a[1]^5*
             a[8]*a[13] + 3003*a[1]^6*
             a[7]*a[14] + 9*a[6]*
             (a[7]*a[9] + 715*a[1]^7*a[
             15]) + 9690*a[1]^13*
             a[20]) + 2*a[5]*
           (10*a[6]^4 + 5*a[7]*a[8]^2 + 
            105*a[1]^2*a[7]*a[8]^2 + 
            560*a[1]^3*a[7]*a[8]^2 + 
            5*a[7]^2*a[9] + 210*a[1]^2*
             a[7]^2*a[9] + 630*a[1]^4*
             a[7]^2*a[9] + 5*a[1]*
             a[11]^2 + 660*a[1]^7*
             a[11]^2 + 5*a[6]^2*
             (56*a[2]^3*a[8] + 756*a[1]^
             2*a[2]^2*a[9] + 12*(1 + 
             105*a[1]^4)*a[2]*a[10] + 
             (1 + 12*a[1] + 462*a[1]^6)*
             a[11]) + 110*a[2]^9*a[12] + 
            10*a[1]*a[10]*a[12] + 
            420*a[1]^6*a[10]*a[12] + 
            990*a[1]^8*a[10]*a[12] + 
            6435*a[1]^2*a[2]^8*a[13] + 
            10*a[1]*a[9]*a[13] + 
            252*a[1]^5*a[9]*a[13] + 
            1430*a[1]^9*a[9]*a[13] + 
            60060*a[1]^4*a[2]^7*a[14] + 
            10*a[1]*a[8]*a[14] + 
            140*a[1]^4*a[8]*a[14] + 
            2002*a[1]^10*a[8]*a[14] + 
            210210*a[1]^6*a[2]^6*a[15] + 
            10*a[1]*a[7]*a[15] + 
            70*a[1]^3*a[7]*a[15] + 
            2730*a[1]^11*a[7]*a[15] + 
            252*a[2]^5*(a[8]*a[9] + 
             10*a[1]*a[7]*a[10] + 
             1430*a[1]^8*a[16]) + 
            10*a[6]*(a[8]*a[9] + 
             6*a[1]*a[8]*a[9] + 56*a[1]^
             3*a[8]*a[9] + 126*a[1]^4*a[
             8]*a[9] + 42*a[2]^6*a[10] + 
             a[7]*a[10] + 6*a[1]*a[7]*a[
             10] + 21*a[1]^2*a[7]*a[
             10] + 252*a[1]^5*a[7]*a[
             10] + 1386*a[1]^2*a[2]^5*a[
             11] + 6930*a[1]^4*a[2]^4*a[
             12] + 12012*a[1]^6*a[2]^3*a[
             13] + 3*a[2]^2*(7*(1 + 
             8*a[1])*a[7]*a[8] + 
             (1 + 3003*a[1]^8)*a[14]) + 
             a[2]*(3*(1 + 56*a[1]^2)*
             a[8]^2 + 6*(1 + 7*a[1] + 
             84*a[1]^3)*a[7]*a[9] + 
             (1 + 6*a[1] + 3003*a[1]^10)*
             a[15]) + a[1]*a[16] + 
             3*a[1]^2*a[16] + 364*a[1]^
             12*a[16]) + 140*a[2]^4*
             (9*a[1]*a[9]^2 + a[8]*a[
             10] + 45*a[1]^2*a[8]*a[
             10] + 165*a[1]^3*a[7]*a[
             11] + 2431*a[1]^10*a[17]) + 
            70*a[2]^3*(36*a[1]^2*a[9]*a[
             10] + 120*a[1]^3*a[9]*a[
             10] + 8*a[1]*a[8]*a[11] + 
             330*a[1]^4*a[8]*a[11] + 
             a[7]*a[12] + 792*a[1]^5*a[
             7]*a[12] + 2652*a[1]^12*a[
             18]) + 5*a[2]^2*
             (21*a[7]^3 + 1260*a[1]^4*
             a[10]^2 + 504*a[1]^3*a[9]*a[
             11] + 2772*a[1]^5*a[9]*a[
             11] + 168*a[1]^2*a[8]*a[
             12] + 5544*a[1]^6*a[8]*a[
             12] + 6*a[1]*(7 + 1716*
             a[1]^6)*a[7]*a[13] + 
             a[19] + 11628*a[1]^14*a[
             19]) + 10*a[2]*
             (a[10]*a[11] + 252*a[1]^5*a[
             10]*a[11] + 462*a[1]^6*a[
             10]*a[11] + a[9]*a[12] + 
             126*a[1]^4*a[9]*a[12] + 
             792*a[1]^7*a[9]*a[12] + 
             a[8]*a[13] + 56*a[1]^3*a[8]*
             a[13] + 1287*a[1]^8*a[8]*a[
             13] + a[7]*a[14] + 
             2002*a[1]^9*a[7]*a[14] + 
             21*a[1]^2*a[7]*(4*a[7]*
             a[8] + a[14]) + 969*a[1]^16*
             a[20] + a[1]*(42*a[7]^2*
             a[8] + a[20])) + a[21] + 
            5*a[1]^2*a[21] + 665*a[1]^18*
             a[21]) + 35*a[2]^4*
           (36*a[1]*a[7]^2*a[9] + 
            a[7]*(8*a[8]^2 + 360*a[1]^2*
             a[6]*a[10] + a[15] + 
             6435*a[1]^8*a[15]) + 
            2*(330*a[1]^3*a[6]^2*a[11] + 
             4*a[6]*((1 + 9*a[1])*a[8]*
             a[9] + 1430*a[1]^9*a[16]) + 
             a[1]*(165*a[1]^3*a[11]^2 + 
             60*a[1]^2*a[10]*a[12] + 
             396*a[1]^4*a[10]*a[12] + 
             18*a[1]*a[9]*a[13] + 
             858*a[1]^5*a[9]*a[13] + 
             4*a[8]*a[14] + 1716*a[1]^6*
             a[8]*a[14] + 3876*a[1]^14*
             a[21]))) + 20*a[2]^3*
           (7*a[7]^2*a[10] + 7*a[7]*
             (a[8]*a[9] + a[6]*a[11]) + 
            924*a[1]^6*a[11]*a[12] + 
            462*a[1]^5*(6*a[6]^2 + 
             a[11])*a[12] + 1716*a[1]^7*
             a[10]*a[13] + 210*a[1]^4*
             (11*a[6]*a[7]*a[11] + 
             a[10]*a[13]) + 3003*a[1]^8*
             a[9]*a[14] + 84*a[1]^3*
             (5*a[7]^2*a[10] + 10*a[6]*a[
             8]*a[10] + a[9]*a[14]) + 
            5005*a[1]^9*a[8]*a[15] + 
            28*a[1]^2*(9*a[7]*a[8]*a[
             9] + 9*a[6]*a[9]^2 + 
             a[8]*a[15]) + 8008*a[1]^10*
             a[7]*a[16] + 7*a[1]*
             (4*a[8]^3 + 8*a[8]*(a[7]*
             a[9] + a[6]*a[10]) + 
             a[7]*a[16]) + a[6]*a[17] + 
            12376*a[1]^11*a[6]*a[17] + 
            4389*a[1]^17*a[22]) + 
          10*a[2]^2*(56*a[1]*a[6]^3*
             a[8] + 3*a[6]^2*(7*a[7]^2 + 
             2*(1 + 858*a[1]^7)*a[13]) + 
            6*a[6]*((1 + 84*a[1]^3 + 
             210*a[1]^4)*a[9]*a[10] + 
             (1 + 28*a[1]^2 + 462*a[1]^
             5)*a[8]*a[11] + a[7]*a[
             12] + 7*a[1]*a[7]*a[12] + 
             924*a[1]^6*a[7]*a[12] + 
             a[1]*a[18] + 1428*a[1]^13*a[
             18]) + a[1]*(21*a[7]*(
             a[9]^2 + 2*a[8]*a[10] + 
             2*a[7]*a[11]) + 792*a[1]^6*
             a[12]^2 + 462*a[1]^5*a[11]*
             a[13] + 1287*a[1]^7*a[11]*a[
             13] + 2002*a[1]^8*a[10]*a[
             14] + 126*a[1]^4*(11*a[7]^2*
             a[11] + 2*a[10]*a[14]) + 
             3003*a[1]^9*a[9]*a[15] + 
             126*a[1]^3*(10*a[7]*a[8]*
             a[10] + a[9]*a[15]) + 
             4368*a[1]^10*a[8]*a[16] + 
             28*a[1]^2*(9*a[8]^2*a[9] + 
             18*a[7]*a[9]^2 + 2*a[8]*
             a[16]) + 6188*a[1]^11*a[7]*
             a[17] + 21*a[1]*(8*a[8]^2*
             a[9] + 8*a[7]*a[8]*a[10] + 
             a[7]*a[17]) + 1771*a[1]^18*
             a[23])) + 2*a[2]*
           (30*(1 + 28*a[1]^3)*a[6]^3*
             a[9] + 210*a[1]^2*a[7]*
             (a[9]*a[10] + a[8]*a[11] + 
             a[7]*a[12]) + 990*a[1]^8*
             a[12]*a[13] + 1430*a[1]^9*
             a[12]*a[13] + 2002*a[1]^10*
             a[11]*a[14] + 10*a[6]^2*
             (3*(2 + 7*a[1] + 28*a[1]^2)*
             a[7]*a[8] + a[1]*(6 + 
             1001*a[1]^8)*a[14]) + 
            660*a[1]^7*(6*a[7]^2*a[12] + 
             a[11]*a[14]) + 2730*a[1]^11*
             a[10]*a[15] + 420*a[1]^6*
             (11*a[7]*a[8]*a[11] + 
             a[10]*a[15]) + 3640*a[1]^12*
             a[9]*a[16] + 252*a[1]^5*
             (5*a[8]^2*a[10] + a[9]*(
             10*a[7]*a[10] + a[16])) + 
            4760*a[1]^13*a[8]*a[17] + 
            140*a[1]^4*(9*a[7]*a[9]*a[
             10] + a[8]*(9*a[9]^2 + 
             a[17])) + 6120*a[1]^14*a[7]*
             a[18] + 70*a[1]^3*
             (8*a[8]^2*a[10] + 4*a[8]*(
             a[9]^2 + 2*a[7]*a[11]) + 
             a[7]*a[18]) + 2*a[6]*
             (5*(1 + 21*a[1])*a[7]^3 + 
             15*a[1]*(2 + 7*a[1] + 
             429*a[1]^7)*a[7]*a[13] + 
             a[1]*(15*(1 + 84*a[1]^4)*
             a[10]^2 + 30*(1 + 21*a[1]^
             3 + 77*a[1]^5)*a[9]*a[11] + 
             30*a[8]*a[12] + 280*a[1]^2*
             a[8]*a[12] + 3960*a[1]^6*
             a[8]*a[12] + 15*a[1]*
             a[19] + 3876*a[1]^14*
             a[19])) + a[24] + 
            1012*a[1]^21*a[24]) + 
          2*a[1]*a[25] + 100*a[1]^23*
           a[25]) + 2600*a[1]^23*a[2]^3*
         a[26] + 2*a[4]*(3*a[5]^5*a[6] + 
          210*a[2]^2*a[3]*a[6]^3*a[7] + 
          90*a[3]^2*a[6]^3*a[7] + 
          105*a[3]^4*a[6]*a[7]^2 + 
          210*a[2]^3*a[6]^2*a[7]^2 + 
          180*a[2]*a[3]*a[6]^2*a[7]^2 + 
          210*a[2]*a[3]^3*a[7]^3 + 
          30*a[2]^2*a[6]*a[7]^3 + 
          840*a[2]^2*a[3]^3*a[6]^2*
           a[8] + 180*a[2]*a[3]*a[6]^3*
           a[8] + 28*a[3]^6*a[7]*a[8] + 
          1680*a[2]^3*a[3]^2*a[6]*a[7]*
           a[8] + 420*a[2]*a[3]^3*a[6]*
           a[7]*a[8] + 180*a[2]^2*a[6]^2*
           a[7]*a[8] + 420*a[2]^4*a[3]*
           a[7]^2*a[8] + 630*a[2]^2*
           a[3]^2*a[7]^2*a[8] + 
          2*a[7]^3*a[8] + 168*a[2]*
           a[3]^5*a[8]^2 + 840*a[2]^4*
           a[3]*a[6]*a[8]^2 + 30*a[3]^3*
           a[6]*a[8]^2 + 168*a[2]^5*a[7]*
           a[8]^2 + 210*a[2]^3*a[3]*a[7]*
           a[8]^2 + 6*a[6]*a[7]*a[8]^2 + 
          756*a[2]^2*a[3]^5*a[6]*a[9] + 
          756*a[2]^5*a[3]*a[6]^2*a[9] + 
          90*a[2]^2*a[6]^3*a[9] + 
          1260*a[2]^3*a[3]^4*a[7]*a[9] + 
          252*a[2]^6*a[6]*a[7]*a[9] + 
          630*a[2]^2*a[3]^2*a[6]*a[7]*
           a[9] + 60*a[3]^3*a[6]*a[7]*
           a[9] + 420*a[2]^3*a[3]*a[7]^2*
           a[9] + 6*a[6]*a[7]^2*a[9] + 
          1260*a[2]^4*a[3]^3*a[8]*a[9] + 
          420*a[2]^2*a[3]^4*a[8]*a[9] + 
          168*a[2]^5*a[6]*a[8]*a[9] + 
          180*a[2]*a[3]^2*a[6]*a[8]*
           a[9] + 6*a[6]^2*a[8]*a[9] + 
          105*a[2]^4*a[7]*a[8]*a[9] + 
          756*a[2]^5*a[3]^2*a[9]^2 + 
          90*a[2]^2*a[3]*a[6]*a[9]^2 + 
          6*a[3]*a[8]*a[9]^2 + 
          2*a[2]*a[9]^3 + 180*a[2]^2*
           a[3]^7*a[10] + 2520*a[2]^5*
           a[3]^3*a[6]*a[10] + 
          60*a[3]^3*a[6]^2*a[10] + 
          1260*a[2]^6*a[3]^2*a[7]*
           a[10] + 21*a[3]^5*a[7]*
           a[10] + 420*a[2]^3*a[3]*a[6]*
           a[7]*a[10] + 180*a[2]*a[3]^2*
           a[6]*a[7]*a[10] + 6*a[6]^2*
           a[7]*a[10] + 105*a[2]^4*
           a[7]^2*a[10] + 360*a[2]^7*
           a[3]*a[8]*a[10] + 560*a[2]^3*
           a[3]^3*a[8]*a[10] + 
          180*a[2]^2*a[3]*a[6]*a[8]*
           a[10] + 6*a[3]*a[8]^2*a[10] + 
          45*a[2]^8*a[9]*a[10] + 
          252*a[2]^6*a[3]*a[9]*a[10] + 
          60*a[2]^3*a[6]*a[9]*a[10] + 
          12*a[3]*a[7]*a[9]*a[10] + 
          12*a[2]*a[8]*a[9]*a[10] + 
          6*a[3]*a[6]*a[10]^2 + 
          6*a[2]*a[7]*a[10]^2 + 
          5*a[5]^4*(84*a[1]*a[2]^2*
             a[8] + 21*a[2]*(a[3]*a[7] + 
             12*a[1]^3*a[9]) + 
            2*(42*a[1]^2*a[3]*a[8] + 
             a[10] + 63*a[1]^5*a[10])) + 
          1386*a[2]^5*a[3]^5*a[11] + 
          495*a[2]^8*a[3]*a[6]*a[11] + 
          180*a[2]*a[3]^2*a[6]^2*a[11] + 
          2*a[6]^3*a[11] + 55*a[2]^9*
           a[7]*a[11] + 105*a[2]*a[3]^4*
           a[7]*a[11] + 105*a[2]^4*a[6]*
           a[7]*a[11] + 180*a[2]^2*a[3]*
           a[6]*a[7]*a[11] + 420*a[2]^4*
           a[3]^2*a[8]*a[11] + 
          60*a[2]^3*a[6]*a[8]*a[11] + 
          12*a[3]*a[7]*a[8]*a[11] + 
          6*a[2]*a[8]^2*a[11] + 
          36*a[2]^7*a[9]*a[11] + 
          12*a[3]*a[6]*a[9]*a[11] + 
          12*a[2]*a[7]*a[9]*a[11] + 
          12*a[2]*a[6]*a[10]*a[11] + 
          990*a[2]^8*a[3]^3*a[12] + 
          180*a[2]^2*a[3]*a[6]^2*a[12] + 
          210*a[2]^2*a[3]^3*a[7]*a[12] + 
          60*a[2]^3*a[6]*a[7]*a[12] + 
          6*a[3]*a[7]^2*a[12] + 
          168*a[2]^5*a[3]*a[8]*a[12] + 
          12*a[3]*a[6]*a[8]*a[12] + 
          12*a[2]*a[7]*a[8]*a[12] + 
          12*a[2]*a[6]*a[9]*a[12] + 
          6*a[3]^2*a[11]*a[12] + 
          6*a[2]*a[3]*a[12]^2 + 
          78*a[2]^11*a[3]*a[13] + 
          15*a[3]^4*a[6]*a[13] + 
          60*a[2]^3*a[6]^2*a[13] + 
          210*a[2]^3*a[3]^2*a[7]*a[13] + 
          12*a[3]*a[6]*a[7]*a[13] + 
          6*a[2]*a[7]^2*a[13] + 
          28*a[2]^6*a[8]*a[13] + 
          12*a[2]*a[6]*a[8]*a[13] + 
          6*a[3]^2*a[10]*a[13] + 
          12*a[2]*a[3]*a[11]*a[13] + 
          6*a[2]^2*a[12]*a[13] + 
          3*a[3]*a[12]*a[13] + 
          60*a[2]*a[3]^3*a[6]*a[14] + 
          6*a[3]*a[6]^2*a[14] + 
          105*a[2]^4*a[3]*a[7]*a[14] + 
          12*a[2]*a[6]*a[7]*a[14] + 
          6*a[3]^2*a[9]*a[14] + 
          12*a[2]*a[3]*a[10]*a[14] + 
          6*a[2]^2*a[11]*a[14] + 
          3*a[3]*a[11]*a[14] + 
          2*a[5]^3*(280*a[1]*a[3]^3*
             a[8] + 15*a[7]*a[8] + 
            105*a[1]^2*a[7]*a[8] + 
            280*a[1]^3*a[7]*a[8] + 
            126*a[2]^5*a[9] + 15*a[6]*
             a[9] + 30*a[1]*a[6]*a[9] + 
            630*a[1]^4*a[6]*a[9] + 
            3150*a[1]^2*a[2]^4*a[10] + 
            3150*a[1]^4*a[3]^2*a[10] + 
            210*a[2]^3*(12*a[1]*a[3]*a[
             9] + 55*a[1]^4*a[11]) + 
            15*a[3]*(2*(1 + 7*a[1])*a[6]*
             a[7] + (1 + 264*a[1]^7)*a[
             12]) + 105*a[2]^2*
             (a[6]*a[7] + 4*(a[3]^2*
             a[8] + 30*a[1]^3*a[3]*
             a[10] + 33*a[1]^6*a[12])) + 
            15*a[2]*(14*a[1]*a[7]^2 + 
             2*a[6]*a[8] + 28*a[1]^2*(
             2*a[6]*a[8] + 9*a[3]^2*
             a[9]) + 924*a[1]^5*a[3]*a[
             11] + a[13] + 429*a[1]^8*a[
             13]) + a[14] + 15*a[1]*
             a[14] + 1001*a[1]^10*
             a[14]) + 90*a[2]^2*a[3]^2*
           a[6]*a[15] + 6*a[2]*a[6]^2*
           a[15] + 21*a[2]^5*a[7]*
           a[15] + 6*a[3]^2*a[8]*a[15] + 
          12*a[2]*a[3]*a[9]*a[15] + 
          6*a[2]^2*a[10]*a[15] + 
          3*a[3]*a[10]*a[15] + 
          60*a[2]^3*a[3]*a[6]*a[16] + 
          6*a[3]^2*a[7]*a[16] + 
          12*a[2]*a[3]*a[8]*a[16] + 
          6*a[2]^2*a[9]*a[16] + 
          3*a[3]*a[9]*a[16] + 15*a[2]^4*
           a[6]*a[17] + 6*a[3]^2*a[6]*
           a[17] + 12*a[2]*a[3]*a[7]*
           a[17] + 6*a[2]^2*a[8]*a[17] + 
          3*a[3]*a[8]*a[17] + 45*a[1]^8*
           (11*a[6]*a[11]^2 + 66*a[3]*
             a[7]^2*a[12] + 132*a[2]*
             a[6]*a[9]*a[12] + 66*a[3]^2*
             a[11]*a[12] + 132*a[2]*a[3]*
             a[12]^2 + 858*a[2]*a[3]*
             a[6]^2*a[13] + 858*a[2]*
             a[3]^2*a[9]*a[13] + 
            858*a[2]^2*a[3]*a[10]*
             a[13] + 286*a[2]^3*a[11]*
             a[13] + 66*a[2]^2*a[12]*
             a[13] + 4004*a[2]*a[3]^3*
             a[6]*a[14] + 1001*a[2]^4*
             a[9]*a[14] + 11*a[3]*a[11]*
             a[14] + 11*a[8]*
             (a[9]*a[11] + 12*a[3]*a[6]*
             a[12] + 12*a[2]*a[7]*a[
             12] + 26*a[3]^3*a[13] + 
             364*a[2]^3*a[3]*a[14]) + 
            3003*a[2]*a[3]^5*a[15] + 
            15015*a[2]^4*a[3]*a[6]*
             a[15] + 11*a[2]*a[11]*
             a[15] + 11*a[7]*
             (a[10]*a[11] + 39*a[2]^2*(
             2*a[6]*a[13] + 14*a[3]^2*
             a[14] + 7*a[2]^3*a[15])) + 
            40040*a[2]^4*a[3]^3*a[16] + 
            19448*a[2]^7*a[3]*a[17] + 
            a[10]*a[17]) + 12*a[2]*a[3]*
           a[6]*a[18] + 6*a[2]^2*a[7]*
           a[18] + 3*a[3]*a[7]*a[18] + 
          6*a[5]^2*(5*a[6]*a[7]^2 + 
            15*a[1]*a[6]*a[7]^2 + 
            105*a[1]^2*a[6]*a[7]^2 + 
            14*a[3]^5*a[8] + 5*a[6]^2*
             a[8] + 30*a[1]*a[6]^2*
             a[8] + 140*a[1]^3*a[6]^2*
             a[8] + a[9]*a[10] + 
            10*a[1]*a[9]*a[10] + 
            126*a[1]^5*a[9]*a[10] + 
            210*a[1]^6*a[9]*a[10] + 
            210*a[3]^4*(3*a[1]*a[2]*a[
             9] + 5*a[1]^3*a[10]) + 
            330*a[1]*a[2]^7*a[11] + 
            a[8]*a[11] + 10*a[1]*a[8]*
             a[11] + 70*a[1]^4*a[8]*
             a[11] + 330*a[1]^7*a[8]*
             a[11] + 4620*a[1]^3*a[2]^6*
             a[12] + a[7]*a[12] + 
            10*a[1]*a[7]*a[12] + 
            35*a[1]^3*a[7]*a[12] + 
            495*a[1]^8*a[7]*a[12] + 
            35*a[3]^3*(a[6]*a[7] + 
             6*(2*a[2]^3*a[9] + 
             30*a[1]^2*a[2]^2*a[10] + 
             55*a[1]^4*a[2]*a[11] + 
             22*a[1]^6*a[12])) + 
            18018*a[1]^5*a[2]^5*a[13] + 
            a[6]*a[13] + 10*a[1]*a[6]*
             a[13] + 15*a[1]^2*a[6]*
             a[13] + 715*a[1]^9*a[6]*
             a[13] + 70*a[2]^4*
             (a[7]*a[8] + 9*a[1]*a[6]*a[
             9] + 429*a[1]^7*a[14]) + 
            5*a[3]^2*(21*a[1]*a[7]*a[
             8] + 84*a[1]^2*a[7]*a[8] + 
             3*a[6]*a[9] + 252*a[1]^3*a[
             6]*a[9] + 630*a[1]*a[2]^4*a[
             10] + 4620*a[1]^3*a[2]^3*a[
             11] + 8316*a[1]^5*a[2]^2*a[
             12] + 3*a[2]*(7*a[7]^2 + 
             56*a[1]*a[6]*a[8] + 1716*
             a[1]^7*a[13]) + a[14] + 
             1001*a[1]^9*a[14]) + 
            35*a[2]^3*(8*a[1]*a[8]^2 + 
             a[7]*a[9] + 36*a[1]^2*a[7]*
             a[9] + 120*a[1]^3*a[6]*a[
             10] + 715*a[1]^9*a[15]) + 
            5*a[2]^2*(84*a[1]^2*a[8]*a[
             9] + 252*a[1]^3*a[8]*a[9] + 
             21*a[1]*a[7]*a[10] + 
             630*a[1]^4*a[7]*a[10] + 
             3*a[6]*a[11] + 1386*a[1]^5*
             a[6]*a[11] + a[16] + 
             2184*a[1]^11*a[16]) + 
            a[3]*(15*a[6]^3 + 10*a[8]*a[
             9] + 280*a[1]^3*a[8]*a[9] + 
             630*a[1]^4*a[8]*a[9] + 
             210*a[2]^6*a[10] + 
             10*a[7]*a[10] + 105*a[1]^2*
             a[7]*a[10] + 1260*a[1]^5*a[
             7]*a[10] + 6930*a[1]^2*a[2]^
             5*a[11] + 10*a[6]*(
             28*a[2]^3*a[8] + 378*a[1]^2*
             a[2]^2*a[9] + 3*(1 + 210*
             a[1]^4)*a[2]*a[10] + 
             (1 + 3*a[1] + 231*a[1]^6)*
             a[11]) + 34650*a[1]^4*a[2]^
             4*a[12] + 60060*a[1]^6*a[2]^
             3*a[13] + 105*a[2]^2*(
             (1 + 8*a[1])*a[7]*a[8] + 
             429*a[1]^8*a[14]) + 
             5*a[2]*(168*a[1]^2*a[8]^2 + 
             42*a[1]*a[7]*a[9] + 504*
             a[1]^3*a[7]*a[9] + 
             2*a[15] + 3003*a[1]^10*
             a[15]) + a[16] + 10*a[1]*a[
             16] + 1820*a[1]^12*a[16]) + 
            a[2]*(15*(2 + 7*a[1])*a[6]^
             2*a[7] + (5 + 630*a[1]^4)*
             a[9]^2 + 10*a[8]*a[10] + 
             280*a[1]^3*a[8]*a[10] + 
             1260*a[1]^5*a[8]*a[10] + 
             10*a[7]*a[11] + 105*a[1]^2*
             a[7]*a[11] + 2310*a[1]^6*a[
             7]*a[11] + 10*(1 + 3*a[1] + 
             396*a[1]^7)*a[6]*a[12] + 
             a[17] + 10*a[1]*a[17] + 
             2380*a[1]^13*a[17]) + 
            a[1]*a[18] + 5*a[1]^2*
             a[18] + 204*a[1]^15*
             a[18]) + 55*a[1]^9*
           (6*a[8]^2*a[12] + 12*a[6]*
             a[10]*a[12] + 78*a[2]*
             a[7]^2*a[13] + 78*a[3]^2*
             a[10]*a[13] + 156*a[2]*a[3]*
             a[11]*a[13] + 78*a[2]^2*
             a[12]*a[13] + 12*a[3]*a[12]*
             a[13] + 546*a[2]^2*a[6]^2*
             a[14] + 1092*a[2]^2*a[3]*
             a[9]*a[14] + 364*a[2]^3*
             a[10]*a[14] + 12*a[2]*a[12]*
             a[14] + 8190*a[2]^2*a[3]^2*
             a[6]*a[15] + 39*a[2]*a[8]*
             (4*a[6]*a[13] + 28*a[3]^2*a[
             14] + 35*a[2]^3*a[15]) + 
            4*a[7]*(3*a[9]*a[12] + 
             13*a[3]*(3*a[6]*a[13] + 
             7*a[3]^2*a[14] + 105*a[2]^3*
             a[15])) + 10920*a[2]^2*
             a[3]^4*a[16] + 4368*a[2]^5*
             a[6]*a[16] + a[11]*a[16] + 
            37128*a[2]^5*a[3]^2*a[17] + 
            3978*a[2]^8*a[18]) + 
          22*a[1]^10*(39*a[3]*a[12]*
             a[13] + 39*a[2]*a[13]^2 + 
            273*a[3]*a[6]^2*a[14] + 
            273*a[3]^2*a[9]*a[14] + 
            546*a[2]*a[3]*a[10]*a[14] + 
            273*a[2]^2*a[11]*a[14] + 
            4095*a[2]^2*a[3]*a[8]*
             a[15] + 1365*a[2]^3*a[9]*
             a[15] + 3*a[12]*a[15] + 
            1092*a[3]^5*a[16] + 
            39*a[6]*(a[9]*a[13] + 
             35*a[3]^3*a[15] + 560*a[2]^
             3*a[3]*a[16]) + 39*a[7]*
             (a[8]*a[13] + 7*a[2]*(
             2*a[6]*a[14] + 15*a[3]^2*
             a[15] + 20*a[2]^3*a[16])) + 
            61880*a[2]^3*a[3]^3*a[17] + 
            55692*a[2]^6*a[3]*a[18]) + 
          4*a[1]^7*(45*a[9]^2*a[10] + 
            165*a[6]^3*a[11] + 495*a[2]*
             a[8]^2*a[11] + 990*a[2]*
             a[6]*a[10]*a[11] + 
            90*a[7]*a[10]*a[11] + 
            2970*a[3]^2*a[6]^2*a[12] + 
            11880*a[2]*a[3]*a[6]*a[7]*
             a[12] + 2970*a[2]^2*a[7]^2*
             a[12] + 5940*a[2]*a[3]^2*
             a[10]*a[12] + 90*a[6]*a[10]*
             a[12] + 5940*a[2]^2*a[3]*
             a[11]*a[12] + 495*a[3]^2*
             a[11]*a[12] + 1980*a[2]^3*
             a[12]^2 + 6435*a[3]^4*a[6]*
             a[13] + 12870*a[2]^3*a[6]^2*
             a[13] + 25740*a[2]*a[3]^3*
             a[7]*a[13] + 6435*a[2]^4*
             a[10]*a[13] + 990*a[2]*a[3]*
             a[11]*a[13] + 3003*a[3]^6*
             a[14] + 180180*a[2]^3*
             a[3]^2*a[6]*a[14] + 
            90090*a[2]^4*a[3]*a[7]*
             a[14] + 495*a[2]^2*a[11]*
             a[14] + 18*a[8]*
             (5*a[10]^2 + 11*(5*a[3]*
             a[7]*a[11] + 30*a[2]^2*a[6]*
             a[12] + 195*a[2]^2*a[3]^2*
             a[13] + 91*a[2]^5*a[14])) + 
            225225*a[2]^3*a[3]^4*a[15] + 
            45045*a[2]^6*a[6]*a[15] + 
            90*a[3]*a[10]*a[15] + 
            360360*a[2]^6*a[3]^2*a[16] + 
            90*a[2]*a[10]*a[16] + 
            24310*a[2]^9*a[17] + 
            9*a[9]*(110*a[2]*a[7]*a[
             11] + 220*a[3]^3*a[12] + 
             110*a[3]*(a[6]*a[11] + 
             26*a[2]^3*a[13]) + 
             a[18])) + 6*a[2]^2*a[6]*
           a[19] + 3*a[3]*a[6]*a[19] + 
          78*a[1]^11*(7*a[7]^2*a[14] + 
            14*a[3]*a[11]*a[14] + 
            14*a[2]*a[12]*a[14] + 
            a[13]*a[14] + 105*a[2]*
             a[6]^2*a[15] + 105*a[3]^2*
             a[8]*a[15] + 210*a[2]*a[3]*
             a[9]*a[15] + 105*a[2]^2*
             a[10]*a[15] + 1680*a[2]^2*
             a[3]*a[7]*a[16] + 
            560*a[2]^3*a[8]*a[16] + 
            2380*a[2]*a[3]^4*a[17] + 
            14*a[6]*(a[8]*a[14] + 
             120*a[2]*a[3]^2*a[16] + 
             170*a[2]^4*a[17]) + 
            21420*a[2]^4*a[3]^2*a[18] + 
            3876*a[2]^7*a[19]) + 
          91*a[1]^12*(a[13]*a[14] + 
            15*a[3]*a[10]*a[15] + 
            15*a[2]*a[11]*a[15] + 
            120*a[3]^2*a[7]*a[16] + 
            240*a[2]*a[3]*a[8]*a[16] + 
            120*a[2]^2*a[9]*a[16] + 
            680*a[2]^3*a[7]*a[17] + 
            15*a[6]*(a[7]*a[15] + 
             136*a[2]^2*a[3]*a[17]) + 
            6120*a[2]^2*a[3]^3*a[18] + 
            11628*a[2]^5*a[3]*a[19]) + 
          28*a[1]^6*(90*a[2]*a[8]*a[9]*
             a[10] + 9*a[9]^2*a[10] + 
            90*a[2]*a[7]*a[10]^2 + 
            495*a[2]^2*a[7]*a[8]*a[11] + 
            9*a[8]*a[9]*a[11] + 
            495*a[3]^4*a[7]*a[12] + 
            9*a[7]*a[9]*a[12] + 
            495*a[2]^4*a[11]*a[12] + 
            45*a[6]^2*(a[7]*a[10] + 
             66*a[2]^2*a[3]*a[12]) + 
            1287*a[2]^5*a[9]*a[13] + 
            165*a[2]^3*a[11]*a[13] + 
            45*a[3]^2*(11*a[2]*a[11]^2 + 
             66*a[2]^2*a[9]*a[12] + 
             286*a[2]^3*a[7]*a[13] + 
             a[10]*a[13]) + 9009*a[2]^2*
             a[3]^5*a[14] + 3003*a[2]^6*
             a[7]*a[14] + 9*a[6]*
             (55*a[3]^2*a[7]*a[11] + 
             55*a[2]^2*a[9]*a[11] + 
             10*a[2]*a[10]*a[11] + 
             220*a[2]^3*a[7]*a[12] + 
             1430*a[2]^2*a[3]^3*a[13] + 
             a[9]*a[13] + 2*a[3]*(
             5*a[10]^2 + 55*a[2]*a[8]*
             a[11] + 1001*a[2]^5*
             a[14])) + 45*a[2]^2*a[10]*
             a[15] + 165*a[3]^3*
             (a[10]*a[11] + 12*a[2]*a[8]*
             a[12] + 273*a[2]^5*a[15]) + 
            9*a[3]*(5*a[8]^2*a[10] + 
             10*a[7]*a[9]*a[10] + 
             55*a[2]*a[7]^2*a[11] + 
             220*a[2]^3*a[10]*a[12] + 
             55*a[2]^2*a[11]*a[12] + 
             715*a[2]^4*a[8]*a[13] + 
             10*a[2]*a[10]*a[14] + 
             1430*a[2]^8*a[16] + 
             a[9]*a[16]) + 9*a[2]*a[9]*
             a[17] + a[8]*a[19]) + 
          2*a[3]^3*a[20] + 21*a[1]^5*
           (36*a[2]*a[9]^3 + 120*a[2]*
             a[6]^3*a[10] + 180*a[2]^2*
             a[8]^2*a[10] + 360*a[2]^2*
             a[7]*a[9]*a[10] + 
            72*a[2]*a[8]*a[9]*a[10] + 
            4*a[8]*a[10]^2 + 660*a[2]^3*
             a[7]^2*a[11] + 72*a[2]*a[7]*
             a[9]*a[11] + 8*a[8]*a[9]*
             a[11] + 8*a[8]^2*a[12] + 
            792*a[2]^5*a[10]*a[12] + 
            330*a[2]^4*a[11]*a[12] + 
            120*a[3]^3*(11*a[2]*a[9]*a[
             11] + a[10]*a[11] + 
             66*a[2]^2*a[7]*a[12]) + 
            36*a[6]^2*(a[8]*a[9] + 
             55*(a[2]*a[3]^2*a[11] + 
             a[2]^4*a[12])) + 1716*a[2]*
             a[3]^6*a[13] + 1716*a[2]^6*
             a[8]*a[13] + 8*a[7]*a[8]*
             a[13] + 120*a[2]^3*a[10]*
             a[14] + 330*a[3]^4*
             (a[8]*a[11] + 91*a[2]^4*a[
             14]) + 4*a[6]*(9*a[7]^2*a[
             9] + 990*a[2]^2*a[3]*a[7]*a[
             11] + 18*a[3]*a[9]*(10*a[2]*
             a[10] + a[11]) + 990*a[2]*
             a[3]^4*a[12] + 45*a[3]^2*(
             2*a[8]*a[10] + 143*a[2]^4*
             a[13]) + 2*(45*a[2]^2*
             a[10]^2 + 165*a[2]^3*a[8]*
             a[11] + 9*a[2]*a[9]*a[12] + 
             429*a[2]^7*a[14] + a[8]*
             a[14])) + 36*a[3]^2*
             (5*a[7]^2*a[10] + 55*a[2]^
             2*a[10]*a[11] + 220*a[2]^3*
             a[8]*a[12] + 10*a[2]*a[10]*
             a[12] + a[9]*a[14] + 
             715*a[2]^7*a[15]) + 
            1144*a[2]^10*a[16] + 
            36*a[2]^2*a[9]*a[16] + 
            8*a[3]*(3*(3*a[7]*(a[9]*
             a[10] + 143*a[2]^5*a[13]) + 
             a[2]*(55*a[2]^2*a[11]^2 + 
             165*a[2]^3*a[9]*a[12] + 
             15*a[2]*a[10]*a[13] + 
             3*a[9]*a[15])) + a[8]*(
             9*a[9]^2 + 90*a[2]*a[7]*
             a[10] + a[17])) + 
            8*a[2]*a[8]*a[18] + 
            a[7]*a[20]) + 105*a[1]^13*
           (a[12]*a[15] + 
            4*(2*a[6]^2*a[16] + 4*a[3]*a[
             9]*a[16] + 4*a[2]*a[10]*a[
             16] + 68*a[2]*a[3]*a[7]*a[
             17] + 34*a[2]^2*a[8]*a[
             17] + 51*a[3]^4*a[18] + 
             34*a[6]*(a[3]^2*a[17] + 
             6*a[2]^3*a[18]) + 1938*a[2]^
             3*a[3]^2*a[19] + 646*a[2]^
             6*a[20])) + 120*a[1]^14*
           (a[11]*a[16] + 
            17*(a[2]*(a[9]*a[17] + 
             9*a[2]*a[7]*a[18]) + 
             57*a[2]*a[3]^3*a[19] + 
             a[3]*(a[8]*a[17] + 18*a[2]*
             a[6]*a[18] + 285*a[2]^4*
             a[20]))) + 6*a[2]*a[3]^2*
           a[21] + 5*a[1]^4*
           (28*a[7]^3*a[8] + 21*a[7]^2*
             (180*a[2]^2*a[3]*a[10] + 
             a[14]) + 3*a[7]*
             (252*a[2]*a[6]^2*a[9] + 
             840*a[2]^3*a[8]*a[10] + 
             252*a[2]^2*a[9]*a[10] + 
             2310*a[2]*a[3]^4*a[11] + 
             7*a[10]*a[11] + 56*a[2]*a[
             8]*a[12] + 7*a[9]*a[12] + 
             252*a[3]^2*(a[8]*a[9] + 
             55*a[2]^4*a[12]) + 
             1716*a[2]^7*a[13] + 
             7*a[8]*a[13] + 7*a[6]*(
             8*a[8]^2 + 360*a[2]*a[3]^2*
             a[10] + 330*a[2]^4*a[11] + 
             a[15]) + 7*a[3]*(72*a[2]*
             a[9]^2 + 8*a[8]*a[11] + 
             a[18]) + 7*a[2]*a[19]) + 
            3*(28*a[6]^2*a[8]*a[9] + 
             210*a[3]^4*a[9]*a[10] + 
             132*a[3]^7*a[12] + 462*a[3]^
             5*(a[6]*a[11] + 26*a[2]^3*
             a[13]) + 28*a[3]^3*(
             15*a[6]^2*a[10] + 30*a[2]*
             a[10]^2 + 165*a[2]^2*a[8]*
             a[11] + 660*a[2]^3*a[6]*
             a[12] + 3*a[9]*a[12] + 
             1001*a[2]^6*a[14]) + 
             28*a[3]^2*(9*a[6]*a[9]^2 + 
             165*a[2]^3*a[9]*a[11] + 
             45*a[2]^2*a[10]*a[11] + 
             9*a[2]*a[9]*a[13] + a[8]*
             a[15]) + 7*a[3]*(12*a[6]^3*
             a[9] + 4*a[8]*(a[9]^2 + 
             2*a[8]*a[10]) + 660*a[2]^3*
             a[6]^2*a[11] + 330*a[2]^4*
             a[10]*a[11] + 792*a[2]^5*
             a[8]*a[12] + 120*a[2]^3*
             a[10]*a[12] + 4*a[6]*
             (90*a[2]^2*a[8]*a[10] + 
             18*a[2]*a[9]*a[10] + 2*a[8]*
             a[12] + 429*a[2]^6*a[13]) + 
             36*a[2]^2*a[9]*a[14] + 
             715*a[2]^9*a[15] + 4*a[2]*
             a[8]*(9*a[8]*a[9] + 
             2*a[16])) + 14*a[2]*(
             33*a[2]^4*a[11]^2 + 4*a[8]*
             (a[9]*a[10] + a[8]*a[11]) + 
             66*a[2]^5*a[9]*a[12] + 
             15*a[2]^3*a[10]*a[13] + 
             6*a[2]^2*a[9]*a[15] + 
             2*a[2]*a[8]*(9*a[9]^2 + 
             a[17])) + a[6]*(840*a[2]^3*
             a[9]*a[10] + 252*a[2]^2*
             a[9]*a[11] + 56*a[2]*a[8]*
             a[13] + a[21]))) + 
          51*a[1]^16*(3*a[9]*a[18] + 
            19*(3*a[2]*a[7]*a[19] + 
             10*a[3]^3*a[20] + 3*a[3]*(
             a[6]*a[19] + 70*a[2]^3*
             a[21]))) + 136*a[1]^15*
           (a[10]*a[17] + 
            9*(2*a[3]*a[7]*a[18] + 
             190*a[2]^2*a[3]^2*a[20] + 
             a[2]*(2*a[8]*a[18] + 
             19*a[2]*a[6]*a[19] + 
             133*a[2]^4*a[21]))) + 
          6*a[2]^2*a[3]*a[22] + 
          3*a[3]^2*a[22] + 
          a[5]*(10*(1 + 18*a[1] + 
             21*a[1]^2)*a[6]^3*a[7] + 
            105*a[3]^4*a[7]*a[8] + 
            840*a[1]*a[3]^4*a[7]*a[8] + 
            30*a[3]*a[7]^2*a[8] + 
            1260*a[1]^2*a[3]*a[7]^2*
             a[8] + 1680*a[1]^3*a[3]*
             a[7]^2*a[8] + 2*a[8]^3 + 
            10*a[1]*a[8]^3 + 420*a[1]^4*
             a[8]^3 + 1680*a[1]^2*a[3]^3*
             a[8]*a[9] + 5040*a[1]^3*
             a[3]^3*a[8]*a[9] + 
            12*a[7]*a[8]*a[9] + 
            60*a[1]*a[7]*a[8]*a[9] + 
            420*a[1]^3*a[7]*a[8]*a[9] + 
            840*a[1]^4*a[7]*a[8]*a[9] + 
            1512*a[1]^5*a[7]*a[8]*a[9] + 
            1260*a[1]^2*a[3]^6*a[10] + 
            420*a[1]*a[3]^3*a[7]*a[10] + 
            12600*a[1]^4*a[3]^3*a[7]*
             a[10] + 6*a[7]^2*a[10] + 
            30*a[1]*a[7]^2*a[10] + 
            420*a[1]^3*a[7]^2*a[10] + 
            1260*a[1]^6*a[7]^2*a[10] + 
            30*a[3]^2*a[9]*a[10] + 
            3780*a[1]^4*a[3]^2*a[9]*
             a[10] + 7560*a[1]^5*a[3]^2*
             a[9]*a[10] + 30*a[3]^2*a[8]*
             a[11] + 1680*a[1]^3*a[3]^2*
             a[8]*a[11] + 13860*a[1]^6*
             a[3]^2*a[8]*a[11] + 
            12*a[3]*a[10]*a[11] + 
            60*a[1]*a[3]*a[10]*a[11] + 
            2520*a[1]^6*a[3]*a[10]*
             a[11] + 3960*a[1]^7*a[3]*
             a[10]*a[11] + 66*a[2]^10*
             a[12] + 16632*a[1]^5*a[3]^5*
             a[12] + 30*a[3]^2*a[7]*
             a[12] + 630*a[1]^2*a[3]^2*
             a[7]*a[12] + 23760*a[1]^7*
             a[3]^2*a[7]*a[12] + 
            12*a[3]*a[9]*a[12] + 
            60*a[1]*a[3]*a[9]*a[12] + 
            1512*a[1]^5*a[3]*a[9]*
             a[12] + 5940*a[1]^8*a[3]*
             a[9]*a[12] + 12*a[1]*a[11]*
             a[12] + 30*a[1]^2*a[11]*
             a[12] + 495*a[1]^8*a[11]*
             a[12] + 660*a[1]^9*a[11]*
             a[12] + 6*a[6]^2*
             (30*(1 + 14*a[1]^2)*a[3]^2*
             a[8] + 5*(1 + 12*a[1] + 
             252*a[1]^5)*a[3]*a[10] + 
             (1 + 5*a[1] + 30*a[1]^2 + 
             495*a[1]^8)*a[12]) + 
            4290*a[1]^2*a[2]^9*a[13] + 
            12*a[3]*a[8]*a[13] + 
            60*a[1]*a[3]*a[8]*a[13] + 
            840*a[1]^4*a[3]*a[8]*a[13] + 
            8580*a[1]^9*a[3]*a[8]*
             a[13] + 12*a[1]*a[10]*
             a[13] + 30*a[1]^2*a[10]*
             a[13] + 360*a[1]^7*a[10]*
             a[13] + 858*a[1]^10*a[10]*
             a[13] + 45045*a[1]^8*a[3]^4*
             a[14] + 12*a[3]*a[7]*
             a[14] + 60*a[1]*a[3]*a[7]*
             a[14] + 420*a[1]^3*a[3]*
             a[7]*a[14] + 12012*a[1]^10*
             a[3]*a[7]*a[14] + 
            12*a[1]*a[9]*a[14] + 
            30*a[1]^2*a[9]*a[14] + 
            252*a[1]^6*a[9]*a[14] + 
            1092*a[1]^11*a[9]*a[14] + 
            495*a[2]^8*(12*a[1]*a[3]*a[
             12] + 91*a[1]^4*a[14]) + 
            12*a[1]*a[8]*a[15] + 
            30*a[1]^2*a[8]*a[15] + 
            168*a[1]^5*a[8]*a[15] + 
            1365*a[1]^12*a[8]*a[15] + 
            180*a[2]^7*(2*a[6]*a[10] + 
             11*(a[3]^2*a[11] + 
             52*a[1]^3*a[3]*a[13] + 
             91*a[1]^6*a[15])) + 
            10*a[3]^3*a[16] + 
            43680*a[1]^11*a[3]^3*a[16] + 
            12*a[1]*a[7]*a[16] + 
            30*a[1]^2*a[7]*a[16] + 
            105*a[1]^4*a[7]*a[16] + 
            1680*a[1]^13*a[7]*a[16] + 
            252*a[2]^6*(a[8]*a[9] + 
             a[1]*(10*a[7]*a[10] + 
             11*a[1]*(5*a[6]*a[11] + 
             30*a[3]^2*a[12] + 182*a[1]^
             3*a[3]*a[14] + 130*a[1]^6*
             a[16]))) + 6*a[6]*
             (630*a[1]^2*a[3]^4*a[9] + 
             (1 + 5*a[1] + 15*a[1]^2 + 
             252*a[1]^5)*a[9]^2 + 
             2*a[8]*a[10] + 10*a[1]*a[8]*
             a[10] + 30*a[1]^2*a[8]*a[
             10] + 140*a[1]^4*a[8]*a[
             10] + 420*a[1]^6*a[8]*a[
             10] + 10*(1 + 462*a[1]^5)*
             a[3]^3*a[11] + 2*a[7]*a[
             11] + 10*a[1]*a[7]*a[11] + 
             30*a[1]^2*a[7]*a[11] + 
             70*a[1]^3*a[7]*a[11] + 
             660*a[1]^7*a[7]*a[11] + 
             5*a[3]^2*((3 + 42*a[1])*
             a[7]^2 + (1 + 6*a[1] + 
             1287*a[1]^8)*a[13]) + 
             a[3]*(5*(1 + 6*a[1] + 
             112*a[1]^3)*a[8]^2 + 
             2*(5*(1 + 6*a[1] + 21*a[1]^
             2 + 126*a[1]^4)*a[7]*a[9] + 
             (1 + 5*a[1] + 15*a[1]^2 + 
             1365*a[1]^11)*a[15])) + 
             2*a[1]*a[17] + 5*a[1]^2*a[
             17] + 10*a[1]^3*a[17] + 
             340*a[1]^14*a[17]) + 
            84*a[2]^5*(330*a[1]*a[3]^3*a[
             11] + 6435*a[1]^4*a[3]^2*a[
             13] + 18*a[3]*(a[7]*a[9] + 
             10*a[1]*a[6]*a[10] + 
             715*a[1]^7*a[15]) + 
             2*(9*a[1]*a[9]^2 + a[8]*
             a[10] + 45*a[1]^2*a[8]*
             a[10] + 165*a[1]^3*a[7]*
             a[11] + 495*a[1]^4*a[6]*
             a[12] + 2431*a[1]^10*
             a[17])) + 6*a[3]^2*a[18] + 
            30*a[1]*a[3]^2*a[18] + 
            18360*a[1]^14*a[3]^2*a[18] + 
            105*a[2]^4*(4*a[6]^2*a[8] + 
             30*a[3]^4*a[10] + 36*a[1]^
             2*a[9]*a[10] + 120*a[1]^3*a[
             9]*a[10] + 8*a[1]*a[8]*a[
             11] + 330*a[1]^4*a[8]*a[
             11] + 2640*a[1]^3*a[3]^3*a[
             12] + a[7]*a[12] + 792*a[1]^
             5*a[7]*a[12] + 12*a[6]*(
             3*a[3]^2*a[9] + 110*a[1]^3*
             a[3]*a[11] + 143*a[1]^6*
             a[13]) + 12012*a[1]^6*a[3]^
             2*a[14] + 8*a[3]*(
             (1 + 9*a[1])*a[8]*a[9] + 
             5*a[1]^2*(9*a[7]*a[10] + 
             286*a[1]^7*a[16])) + 
             2652*a[1]^12*a[18]) + 
            10*a[2]^3*(21*a[7]^3 + 
             756*a[1]^2*a[6]^2*a[9] + 
             1260*a[1]^4*a[10]^2 + 
             6930*a[1]^2*a[3]^4*a[11] + 
             504*a[1]^3*a[9]*a[11] + 
             2772*a[1]^5*a[9]*a[11] + 
             168*a[1]^2*a[8]*a[12] + 
             5544*a[1]^6*a[8]*a[12] + 
             72072*a[1]^5*a[3]^3*a[13] + 
             6*a[7]*(7*(1 + 8*a[1])*a[6]*
             a[8] + 7*a[3]*a[11] + 
             2310*a[1]^4*a[3]*a[11] + 
             1716*a[1]^7*a[13] + 7*a[1]*
             (36*a[3]^2*a[9] + a[13])) + 
             6*a[6]*a[14] + 18018*a[1]^
             8*a[6]*a[14] + 21*a[3]^2*(
             8*a[8]^2 + 360*a[1]^2*a[6]*
             a[10] + 6435*a[1]^8*
             a[15]) + 168*a[1]*a[3]*(
             9*a[1]*a[9]^2 + 2*a[8]*
             a[10] + 30*a[1]^2*a[8]*
             a[10] + 198*a[1]^4*a[6]*
             a[12] + 442*a[1]^10*
             a[17]) + a[19] + 11628*a[1]^
             14*a[19]) + 3*a[3]*a[20] + 
            12*a[1]*a[3]*a[20] + 
            30*a[1]^2*a[3]*a[20] + 
            3420*a[1]^17*a[3]*a[20] + 
            6*a[2]^2*(15*a[6]*a[8]^2 + 
             30*a[6]*a[7]*a[9] + 
             1260*a[1]*a[3]^5*a[10] + 
             30*a[6]^2*a[10] + 5*a[10]*a[
             11] + 1260*a[1]^5*a[10]*a[
             11] + 2310*a[1]^6*a[10]*a[
             11] + 34650*a[1]^4*a[3]^4*a[
             12] + 5*a[9]*a[12] + 
             3960*a[1]^7*a[9]*a[12] + 
             630*a[1]^4*(5*a[6]^2*
             a[10] + a[9]*a[12]) + 
             5*a[8]*a[13] + 6435*a[1]^8*
             a[8]*a[13] + 280*a[1]^3*(
             9*a[6]*a[7]*a[9] + a[8]*
             a[13]) + 5*a[7]*a[14] + 
             10010*a[1]^9*a[7]*a[14] + 
             280*a[3]^3*(a[7]*a[8] + 
             9*a[1]*a[6]*a[9] + 429*
             a[1]^7*a[14]) + 105*a[1]^2*(
             4*a[7]^2*a[8] + 8*a[6]*
             a[8]^2 + a[7]*a[14]) + 
             5*a[6]*a[15] + 15015*a[1]^
             10*a[6]*a[15] + 105*a[3]^2*(
             8*a[1]*a[8]*a[9] + 
             36*a[1]^2*a[8]*a[9] + 
             a[7]*a[10] + 120*a[1]^3*
             a[7]*a[10] + 330*a[1]^4*
             a[6]*a[11] + 1144*a[1]^10*
             a[16]) + 5*a[3]*(168*a[1]*
             a[6]^2*a[8] + 504*a[1]^3*
             a[9]*a[10] + 1260*a[1]^4*
             a[9]*a[10] + 168*a[1]^2*
             a[8]*a[11] + 2772*a[1]^5*
             a[8]*a[11] + 42*a[1]*a[7]*
             a[12] + 5544*a[1]^6*a[7]*
             a[12] + 6*a[6]*(7*a[7]^2 + 
             a[13] + 1716*a[1]^7*
             a[13]) + a[18] + 8568*
             a[1]^13*a[18]) + a[20] + 
             4845*a[1]^16*a[20] + 
             5*a[1]*(42*a[7]^2*a[8] + 
             42*a[6]*a[7]*a[9] + 6*a[6]*
             a[15] + a[20])) + 
            6*a[2]*(10*a[6]^4 + 
             5*a[7]*a[8]^2 + 42*a[3]^6*a[
             9] + 70*a[3]^3*a[7]*a[9] + 
             5*a[7]^2*a[9] + 5*a[3]*
             a[10]^2 + 10*a[3]*a[9]*a[
             11] + a[11]^2 + 5*a[6]^2*(
             21*a[3]^2*a[7] + 12*(1 + 
             42*a[1]^3)*a[3]*a[9] + 
             (1 + 12*a[1] + 462*a[1]^6)*
             a[11]) + 10*a[3]*a[8]*a[
             12] + 2*a[10]*a[12] + 
             660*a[1]^7*(a[11]^2 + 
             12*a[3]*a[8]*a[12]) + 
             10*a[3]*a[7]*a[13] + 
             2*a[9]*a[13] + 210*a[1]^6*(
             22*a[3]*a[9]*a[11] + 
             2*a[10]*a[12] + 143*a[3]^4*
             a[13]) + 990*a[1]^8*(a[10]*
             a[12] + 13*a[3]*a[7]*
             a[13]) + 252*a[1]^5*(
             10*a[3]*a[10]^2 + 55*a[3]^2*
             a[7]*a[11] + a[9]*a[13]) + 
             2*a[8]*a[14] + 2002*a[1]^10*
             a[8]*a[14] + 70*a[1]^4*(
             9*a[7]^2*a[9] + 90*a[3]^2*
             a[8]*a[10] + 18*a[3]*a[9]*
             a[11] + 2*a[8]*a[14]) + 
             2*a[7]*a[15] + 2730*a[1]^11*
             a[7]*a[15] + 1430*a[1]^9*(
             a[9]*a[13] + 35*a[3]^3*
             a[15]) + 70*a[1]^3*(2*a[3]*
             (18*a[3]*a[9]^2 + 33*a[3]^4*
             a[11] + 4*a[8]*a[12]) + 
             a[7]*(8*a[8]^2 + a[15])) + 
             2*a[6]*(70*a[3]^4*a[8] + 
             5*(1 + 6*a[1] + 56*a[1]^3 + 
             126*a[1]^4)*a[8]*a[9] + 
             4200*a[1]^3*a[3]^3*a[10] + 
             5*a[7]*a[10] + 30*a[1]*a[7]*
             a[10] + 105*a[1]^2*a[7]*
             a[10] + 1260*a[1]^5*a[7]*
             a[10] + 15*(1 + 924*a[1]^6)*
             a[3]^2*a[12] + 5*a[3]*
             (6*(1 + 7*a[1] + 28*a[1]^2)*
             a[7]*a[8] + (1 + 6*a[1] + 
             2002*a[1]^9)*a[14]) + 
             a[16] + 5*a[1]*a[16] + 
             15*a[1]^2*a[16] + 1820*
             a[1]^12*a[16]) + 5*a[3]^2*a[
             17] + 30940*a[1]^12*a[3]^2*
             a[17] + 2*a[3]*a[19] + 
             7752*a[1]^15*a[3]*a[19] + 
             665*a[1]^18*a[21] + 
             5*a[1]^2*(42*a[7]^2*a[9] + 
             168*a[3]^2*a[8]*a[10] + 
             21*a[7]*(a[8]^2 + 24*a[3]^3*
             a[9] + 2*a[3]*a[13]) + 
             a[21]) + a[1]*(560*a[3]^3*
             a[8]^2 + 210*a[3]^2*a[7]*
             a[11] + 5*a[11]^2 + 10*a[3]*
             (21*a[7]^3 + a[19]) + 
             2*(5*a[10]*a[12] + 5*a[9]*
             a[13] + 5*a[8]*a[14] + 
             5*a[7]*a[15] + a[21]))) + 
            6*a[1]^2*a[22] + 10*a[1]^3*
             a[22] + 231*a[1]^20*
             a[22]) + 190*a[1]^18*
           (a[7]*a[20] + 231*a[2]^2*a[3]*
             a[22]) + 171*a[1]^17*
           (a[8]*a[19] + 5*a[2]*
             (4*a[6]*a[20] + 42*a[3]^2*a[
             21] + 77*a[2]^3*a[22])) + 
          2*a[2]^3*a[23] + 3*a[2]*a[3]*
           a[23] + 5313*a[1]^20*a[2]*
           a[3]*a[23] + 70*a[1]^19*
           (3*a[6]*a[21] + 33*a[3]^2*
             a[22] + 253*a[2]^3*a[23]) + 
          3036*a[1]^21*a[2]^2*a[24] + 
          276*a[1]^22*a[3]*a[24] + 
          a[1]*(15*a[6]^5 + 10*a[6]^3*
             (21*a[3]^2*a[7] + 56*a[2]^
             3*a[8] + 18*a[3]*a[9] + 
             18*a[2]*a[10]) + 495*a[2]^8*
             a[8]*a[11] + 360*a[2]^7*
             (a[10]^2 + 11*a[3]*a[7]*a[
             11]) + 252*a[2]^6*
             (10*a[3]*a[9]*a[10] + 
             55*a[3]^4*a[12] + a[9]*a[
             12]) + 4290*a[2]^9*a[3]^2*
             a[13] + 91*a[2]^12*a[14] + 
            84*a[2]^5*(9*a[7]^2*a[9] + 
             90*a[3]^2*a[8]*a[10] + 
             18*a[3]*a[9]*a[11] + 
             2*a[8]*a[14]) + 210*a[2]^3*
             (24*a[3]^3*a[9]^2 + 
             22*a[3]^6*a[11] + a[7]*(
             a[9]^2 + 2*a[8]*a[10] + 
             2*a[7]*a[11]) + 8*a[3]^2*a[
             8]*a[12] + 2*a[3]*a[7]*(
             8*a[8]^2 + a[15])) + 
            6*a[6]^2*(70*a[3]^4*a[8] + 
             60*a[3]*a[7]*a[8] + 
             1260*a[2]^3*a[3]^2*a[9] + 
             210*a[2]^6*a[10] + 30*a[3]^
             2*a[12] + 30*a[2]*(a[8]^2 + 
             2*a[7]*a[9] + a[3]*
             (7*a[7]^2 + 2*a[13])) + 
             15*a[2]^2*(7*a[7]*a[8] + 
             2*a[14]) + a[16]) + 
            105*a[2]^4*(4*a[8]^3 + 
             120*a[3]^3*a[7]*a[10] + 
             36*a[3]^2*a[9]*a[10] + 
             8*a[8]*(a[7]*a[9] + a[3]*
             a[13]) + a[7]*a[16]) + 
            6*a[6]*(42*a[3]^6*a[9] + 
             252*a[2]^5*a[8]*a[9] + 
             140*a[2]^4*(9*a[3]*a[7]*
             a[9] + a[8]*a[10]) + 
             2310*a[2]^6*a[3]^2*a[11] + 
             a[11]^2 + 15*a[3]^2*(
             a[9]^2 + 2*a[8]*a[10] + 
             2*a[7]*a[11]) + 110*a[2]^9*
             a[12] + 2*a[10]*a[12] + 
             2*a[9]*a[13] + 2*a[8]*a[
             14] + 2*a[7]*a[15] + 
             10*a[3]^3*(7*a[7]*a[9] + 
             a[15]) + 15*a[2]^2*(
             7*a[7]^3 + 56*a[3]^2*a[8]^
             2 + a[10]^2 + 2*a[9]*
             a[11] + 2*a[8]*a[12] + 
             2*a[7]*(7*a[3]*a[11] + 
             a[13]) + 2*a[3]*a[17]) + 
             10*a[2]^3*(56*a[3]*a[8]*
             a[9] + 210*a[3]^4*a[10] + 
             7*a[7]*a[12] + a[18]) + 
             2*a[3]*(5*a[7]^3 + a[19]) + 
             2*a[2]*(280*a[3]^3*a[7]*
             a[8] + 15*a[7]^2*a[8] + 
             30*a[3]*(a[9]*a[10] + 
             a[8]*a[11] + a[7]*a[12]) + 
             15*a[3]^2*(7*a[7]*a[10] + 
             a[16]) + a[20])) + 
            6*a[2]*(252*a[3]^5*a[7]*a[
             9] + 105*a[3]^2*a[7]*(
             a[8]^2 + 2*a[7]*a[9]) + 
             140*a[3]^4*a[8]*a[10] + 
             70*a[3]^3*a[7]*a[13] + 
             a[13]^2 + 2*(a[12]*a[14] + 
             a[11]*a[15] + a[10]*a[16] + 
             a[9]*a[17] + a[8]*a[18] + 
             a[7]*a[19]) + 2*a[3]*a[
             23]) + 6*a[2]^2*
             (630*a[3]^4*a[8]*a[9] + 
             210*a[3]*a[7]*(a[8]*a[9] + 
             a[7]*a[10]) + 280*a[3]^3*a[
             8]*a[11] + 105*a[3]^2*a[7]*(
             4*a[7]*a[8] + a[14]) + 
             a[24]) + 3*(140*a[3]^3*a[7]^
             2*a[8] + 56*a[3]^5*a[8]*a[
             9] + 15*a[3]^8*a[10] + 
             35*a[3]^4*a[7]*a[12] + 
             2*(a[9]^2*a[10] + a[8]^2*
             a[12] + 2*a[9]*(a[8]*
             a[11] + a[7]*a[12]) + 
             a[8]*(a[10]^2 + 2*a[7]*
             a[13]) + a[7]*(2*a[10]*
             a[11] + a[7]*a[14])) + 
             2*a[3]^2*a[22] + a[3]*(
             4*a[12]*a[13] + 4*a[11]*
             a[14] + 4*a[10]*a[15] + 
             4*a[9]*a[16] + 4*a[8]*
             a[17] + 4*a[7]*a[18] + 
             a[24]))) + a[2]*a[25] + 
          300*a[1]^23*a[2]*a[25] + 
          6*a[1]^2*(15*a[6]*a[7]*
             a[8]^2 + 15*a[6]*a[7]^2*
             a[9] + 30*a[6]^2*a[8]*
             a[9] + 30*a[6]^2*a[7]*
             a[10] + 330*a[2]*a[3]^7*
             a[11] + 15*a[6]^3*a[11] + 
            330*a[2]^7*a[9]*a[11] + 
            210*a[2]^6*a[10]*a[11] + 
            70*a[3]^4*(9*a[2]*a[9]^2 + 
             45*a[2]^2*a[7]*a[10] + 
             a[8]*a[11]) + 495*a[2]^8*
             a[7]*a[12] + 126*a[3]^5*
             (a[8]*a[9] + 10*a[2]*a[6]*a[
             10] + 55*a[2]^4*a[12]) + 
            126*a[2]^5*(10*a[6]*a[7]*a[
             10] + a[9]*a[13]) + 
            a[13]*a[14] + 5*a[3]^3*
             (28*a[7]^2*a[8] + 252*a[2]*
             a[6]^2*a[9] + 14*a[6]*(
             4*a[8]^2 + 165*a[2]^4*
             a[11]) + 4*a[2]*(210*a[2]^2*
             a[8]*a[10] + 63*a[2]*a[9]*
             a[10] + 14*a[8]*a[12] + 
             429*a[2]^6*a[13]) + 
             7*a[7]*a[14]) + a[12]*
             a[15] + 70*a[2]^4*
             (9*a[7]*a[8]*a[9] + 
             9*a[6]*a[9]^2 + a[8]*a[
             15]) + a[11]*a[16] + 
            a[10]*a[17] + 15*a[3]^2*
             (7*a[7]^2*a[10] + 210*a[2]^
             4*a[9]*a[10] + 462*a[2]^5*a[
             7]*a[11] + 84*a[2]^3*a[9]*a[
             11] + 7*a[7]*(a[8]*a[9] + 
             a[6]*a[11]) + 28*a[2]^2*(
             9*a[6]*a[7]*a[9] + a[8]*
             a[13]) + 7*a[2]*(8*a[6]*
             a[8]*a[9] + a[7]*
             (8*a[8]^2 + a[15])) + 
             a[6]*a[17]) + 35*a[2]^3*
             (8*a[8]^2*a[9] + 8*a[8]*(
             a[7]*a[10] + a[6]*a[11]) + 
             a[7]*a[17]) + a[9]*a[18] + 
            a[8]*a[19] + 15*a[2]^2*
             (28*a[6]^2*a[7]*a[8] + 
             7*a[7]*(a[9]*a[10] + 
             a[8]*a[11] + a[7]*a[12]) + 
             a[6]*(7*a[7]*a[13] + 
             a[19])) + a[7]*a[20] + 
            a[6]*a[21] + a[3]*
             (280*a[2]*a[6]^3*a[8] + 
             1260*a[2]^5*a[10]^2 + 
             2310*a[2]^6*a[8]*a[11] + 
             105*a[2]*a[7]*(a[9]^2 + 
             2*a[8]*a[10] + 2*a[7]*
             a[11]) + 630*a[2]^4*a[9]*a[
             12] + 1001*a[2]^10*a[14] + 
             15*a[6]^2*(7*a[7]*a[8] + 
             210*a[2]^4*a[10] + 
             2*a[14]) + 140*a[2]^3*(
             9*a[7]^2*a[9] + 2*a[8]*
             a[14]) + 105*a[2]^2*(
             4*a[8]^3 + 8*a[7]*a[8]*
             a[9] + a[7]*a[16]) + 
             15*a[6]*(7*a[7]^3 + 168*
             a[2]^3*a[8]*a[9] + 
             56*a[2]^2*a[8]*a[10] + 
             a[10]^2 + 2*a[9]*a[11] + 
             264*a[2]^7*a[12] + 2*a[8]*
             a[12] + 2*a[7]*(7*a[2]*
             a[12] + a[13]) + 2*a[2]*
             a[18]) + a[24]) + 
            a[2]*(35*a[7]^4 + 210*a[6]*
             a[7]^2*a[8] + 30*a[6]*(
             a[10]*a[11] + a[9]*a[12] + 
             a[8]*a[13]) + 15*a[6]*a[7]*(
             7*a[6]*a[9] + 2*a[14]) + 
             30*a[6]^2*a[15] + a[25])) + 
          13*a[1]^25*a[26] + 2*a[1]^3*
           (105*a[7]^3*a[8] + 105*a[6]*
             a[7]*a[8]^2 + 210*a[6]*
             a[7]^2*a[9] + 1260*a[3]^5*
             a[7]*a[10] + 105*a[6]^2*
             a[7]*a[10] + 2310*a[2]^6*
             a[10]*a[11] + 15*a[6]*
             a[11]^2 + 13860*a[2]^2*
             a[3]^6*a[12] + 3960*a[2]^7*
             a[8]*a[12] + 30*a[6]*a[10]*
             a[12] + 630*a[2]^5*
             (11*a[6]^2*a[11] + 
             2*a[10]*a[12]) + 
            6435*a[2]^8*a[6]*a[13] + 
            30*a[6]*a[9]*a[13] + 
            630*a[3]^4*(10*a[2]*a[8]*a[
             10] + a[9]*a[10] + 55*a[2]^
             2*a[6]*a[11] + 143*a[2]^5*a[
             13]) + 280*a[3]^3*
             (9*a[6]*a[7]*a[9] + 
             45*a[2]^2*a[9]*a[10] + 
             165*a[2]^3*a[7]*a[11] + 
             9*a[2]*a[9]*a[11] + 
             a[8]*a[13]) + 30*a[6]*a[8]*
             a[14] + 630*a[2]^4*
             (5*a[7]^2*a[10] + 10*a[6]*a[
             8]*a[10] + a[9]*a[14]) + 
            1365*a[2]^11*a[15] + 
            30*a[6]*a[7]*a[15] + 
            30*a[6]^2*a[16] + 105*a[3]^2*
             (4*a[8]^3 + 36*a[2]*a[7]^2*
             a[9] + 120*a[2]^3*a[10]^2 + 
             792*a[2]^5*a[6]*a[12] + 
             36*a[2]^2*(5*a[6]^2*a[10] + 
             a[9]*a[12]) + 429*a[2]^8*a[
             14] + a[8]*(8*(a[7]*a[9] + 
             a[6]*a[10]) + 330*a[2]^4*
             a[11] + 8*a[2]*(9*a[6]*
             a[9] + a[14])) + a[7]*a[
             16]) + 140*a[2]^3*
             (9*a[8]^2*a[9] + 18*a[9]*(
             a[7]*a[9] + a[6]*a[10]) + 
             2*a[8]*a[16]) + 105*a[2]^2*
             (12*a[6]^3*a[9] + 8*a[8]^2*
             a[10] + 4*a[8]*(a[9]^2 + 
             2*a[7]*a[11]) + 8*a[6]*a[8]*
             a[12] + a[7]*a[18]) + 
            30*a[3]*(28*a[6]^2*a[7]*a[
             8] + 7*(66*a[2]^5*a[9]*
             a[11] + 30*a[2]^4*a[10]*
             a[11] + 132*a[2]^6*a[7]*
             a[12] + a[7]*(a[9]*a[10] + 
             a[8]*a[11] + a[7]*a[12]) + 
             12*a[2]^3*a[9]*a[13] + 
             4*a[2]^2*a[8]*(9*a[7]*
             a[9] + a[15]) + a[2]*
             (8*a[8]^2*a[9] + 8*a[7]*
             a[8]*a[10] + a[7]*a[17])) + 
             a[6]*(252*a[2]^2*a[9]^2 + 
             840*a[2]^3*a[7]*a[10] + 
             56*a[2]*a[8]*a[11] + 7*a[7]*
             a[13] + a[19])) + 
            15*a[2]*(56*a[6]^2*a[8]^2 + 
             7*a[7]*(a[10]^2 + 
             2*(a[9]*a[11] + a[8]*
             a[12] + a[7]*a[13])) + 
             2*a[6]*(28*a[7]^2*a[8] + 
             7*a[7]*a[14] + a[20])) + 
            a[26])) + 2*a[2]^2*a[27] + 
        351*a[1]^25*a[2]^2*a[27] + 
        a[3]*(42*a[1]*a[5]^5*a[7] + 
          120*a[1]*a[6]^4*a[7] + 
          105*a[1]^2*a[6]^4*a[7] + 
          420*a[1]^3*a[7]^2*a[8]^2 + 
          840*a[1]^4*a[7]^2*a[8]^2 + 
          60*a[1]^2*a[6]*a[8]^3 + 
          840*a[1]^4*a[6]*a[8]^3 + 
          420*a[1]^3*a[7]^3*a[9] + 
          504*a[1]^5*a[7]^3*a[9] + 
          360*a[1]^2*a[6]*a[7]*a[8]*
           a[9] + 840*a[1]^3*a[6]*a[7]*
           a[8]*a[9] + 1680*a[1]^4*a[6]*
           a[7]*a[8]*a[9] + 3024*a[1]^5*
           a[6]*a[7]*a[8]*a[9] + 
          180*a[1]^2*a[6]^2*a[9]^2 + 
          1512*a[1]^5*a[6]^2*a[9]^2 + 
          180*a[1]^2*a[6]*a[7]^2*a[10] + 
          840*a[1]^3*a[6]*a[7]^2*a[10] + 
          2520*a[1]^6*a[6]*a[7]^2*
           a[10] + 360*a[1]^2*a[6]^2*
           a[8]*a[10] + 840*a[1]^4*
           a[6]^2*a[8]*a[10] + 
          2520*a[1]^6*a[6]^2*a[8]*
           a[10] + 3*a[9]*a[10]^2 + 
          252*a[1]^6*a[9]*a[10]^2 + 
          720*a[1]^7*a[9]*a[10]^2 + 
          360*a[1]^2*a[6]^2*a[7]*a[11] + 
          420*a[1]^3*a[6]^2*a[7]*a[11] + 
          3960*a[1]^7*a[6]^2*a[7]*
           a[11] + 3*a[9]^2*a[11] + 
          504*a[1]^6*a[9]^2*a[11] + 
          495*a[1]^8*a[9]^2*a[11] + 
          6*a[8]*a[10]*a[11] + 
          336*a[1]^5*a[8]*a[10]*a[11] + 
          720*a[1]^7*a[8]*a[10]*a[11] + 
          990*a[1]^8*a[8]*a[10]*a[11] + 
          3*a[7]*a[11]^2 + 105*a[1]^4*
           a[7]*a[11]^2 + 990*a[1]^8*
           a[7]*a[11]^2 + 10*a[5]^4*
           (3*a[6]^2 + 28*a[2]^3*a[8] + 
            378*a[1]^2*a[2]^2*a[9] + 
            630*a[1]^4*a[2]*a[10] + 
            (2 + 231*a[1]^6)*a[11]) + 
          180*a[1]^2*a[6]^3*a[12] + 
          1980*a[1]^8*a[6]^3*a[12] + 
          6*a[8]*a[9]*a[12] + 336*a[1]^5*
           a[8]*a[9]*a[12] + 504*a[1]^6*
           a[8]*a[9]*a[12] + 1320*a[1]^9*
           a[8]*a[9]*a[12] + 6*a[7]*
           a[10]*a[12] + 210*a[1]^4*a[7]*
           a[10]*a[12] + 720*a[1]^7*a[7]*
           a[10]*a[12] + 1320*a[1]^9*
           a[7]*a[10]*a[12] + 
          6*a[6]*a[11]*a[12] + 
          120*a[1]^3*a[6]*a[11]*a[12] + 
          990*a[1]^8*a[6]*a[11]*a[12] + 
          1320*a[1]^9*a[6]*a[11]*a[12] + 
          3*a[8]^2*a[13] + 336*a[1]^5*
           a[8]^2*a[13] + 858*a[1]^10*
           a[8]^2*a[13] + 6*a[7]*a[9]*
           a[13] + 210*a[1]^4*a[7]*a[9]*
           a[13] + 504*a[1]^6*a[7]*a[9]*
           a[13] + 1716*a[1]^10*a[7]*
           a[9]*a[13] + 6*a[6]*a[10]*
           a[13] + 120*a[1]^3*a[6]*a[10]*
           a[13] + 720*a[1]^7*a[6]*a[10]*
           a[13] + 1716*a[1]^10*a[6]*
           a[10]*a[13] + 14*a[2]^13*
           a[14] + 6*a[7]*a[8]*a[14] + 
          210*a[1]^4*a[7]*a[8]*a[14] + 
          336*a[1]^5*a[7]*a[8]*a[14] + 
          2184*a[1]^11*a[7]*a[8]*a[14] + 
          6*a[6]*a[9]*a[14] + 120*a[1]^3*
           a[6]*a[9]*a[14] + 504*a[1]^6*
           a[6]*a[9]*a[14] + 
          2184*a[1]^11*a[6]*a[9]*a[14] + 
          3*a[1]*a[14]^2 + 182*a[1]^12*
           a[14]^2 + 1365*a[1]^2*a[2]^12*
           a[15] + 3*a[7]^2*a[15] + 
          210*a[1]^4*a[7]^2*a[15] + 
          1365*a[1]^12*a[7]^2*a[15] + 
          6*a[6]*a[8]*a[15] + 120*a[1]^3*
           a[6]*a[8]*a[15] + 336*a[1]^5*
           a[6]*a[8]*a[15] + 
          2730*a[1]^12*a[6]*a[8]*a[15] + 
          6*a[1]*a[13]*a[15] + 
          156*a[1]^11*a[13]*a[15] + 
          210*a[1]^13*a[13]*a[15] + 
          10*a[5]^3*((3 + 112*a[1]^3)*
             a[8]^2 + 504*a[1]*a[2]^5*
             a[10] + 4620*a[1]^3*a[2]^4*
             a[11] + 11088*a[1]^5*a[2]^3*
             a[12] + 6*a[2]^2*
             (7*a[7]^2 + 56*a[1]*a[6]*a[
             8] + 1716*a[1]^7*a[13]) + 
            2*a[2]*(42*a[1]*a[7]*a[8] + 
             168*a[1]^2*a[7]*a[8] + 
             6*a[6]*a[9] + 504*a[1]^3*a[
             6]*a[9] + 3*a[14] + 
             2002*a[1]^9*a[14]) + 
            6*((1 + 7*a[1]^2 + 42*a[1]^
             4)*a[7]*a[9] + (1 + 
             2*a[1] + 84*a[1]^5)*a[6]*a[
             10] + a[1]*(1 + 91*a[1]^10)*
             a[15])) + 21840*a[1]^4*
           a[2]^11*a[16] + 6*a[6]*a[7]*
           a[16] + 120*a[1]^3*a[6]*a[7]*
           a[16] + 210*a[1]^4*a[6]*a[7]*
           a[16] + 3360*a[1]^13*a[6]*
           a[7]*a[16] + 6*a[1]*a[12]*
           a[16] + 132*a[1]^10*a[12]*
           a[16] + 240*a[1]^14*a[12]*
           a[16] + 3*a[6]^2*a[17] + 
          120*a[1]^3*a[6]^2*a[17] + 
          2040*a[1]^14*a[6]^2*a[17] + 
          6*a[1]*a[11]*a[17] + 
          110*a[1]^9*a[11]*a[17] + 
          272*a[1]^15*a[11]*a[17] + 
          44*a[2]^10*(3*a[6]*a[12] + 
            3094*a[1]^6*a[17]) + 
          6*a[1]*a[10]*a[18] + 
          90*a[1]^8*a[10]*a[18] + 
          306*a[1]^16*a[10]*a[18] + 
          110*a[2]^9*(a[8]*a[11] + 
            6*a[1]*(2*a[7]*a[12] + 
             13*a[1]*a[6]*a[13] + 
             663*a[1]^7*a[18])) + 
          6*a[1]*a[9]*a[19] + 72*a[1]^7*
           a[9]*a[19] + 342*a[1]^17*a[9]*
           a[19] + a[5]^2*
           (10*(2 + 63*a[1]^2)*a[7]^3 + 
            495*a[2]^8*a[11] + 
            23760*a[1]^2*a[2]^7*a[12] + 
            180180*a[1]^4*a[2]^6*a[13] + 
            60*a[7]*((2 + 6*a[1] + 
             21*a[1]^2 + 56*a[1]^3)*a[6]*
             a[8] + a[1]*(2 + 7*a[1]^2 + 
             143*a[1]^8)*a[13]) + 
            504*a[2]^5*(3*a[6]*a[9] + 
             1001*a[1]^6*a[14]) + 
            105*a[2]^4*(8*a[8]^2 + 
             9*a[1]*(8*a[7]*a[9] + 
             40*a[1]*a[6]*a[10] + 
             715*a[1]^7*a[15])) + 
            420*a[2]^3*(8*a[1]*a[8]*a[
             9] + 36*a[1]^2*a[8]*a[9] + 
             a[7]*a[10] + 120*a[1]^3*a[
             7]*a[10] + 330*a[1]^4*a[6]*
             a[11] + 1144*a[1]^10*a[
             16]) + 30*a[2]^2*
             (21*a[6]^2*a[7] + 6*(1 + 
             924*a[1]^6)*a[6]*a[12] + 
             2*(252*a[1]^3*a[9]^2 + 
             84*a[1]^2*a[8]*a[10] + 
             630*a[1]^4*a[8]*a[10] + 
             21*a[1]*a[7]*a[11] + 
             1386*a[1]^5*a[7]*a[11] + 
             a[17] + 3094*a[1]^12*
             a[17])) + 60*a[2]*
             (6*(1 + 14*a[1]^2)*a[6]^2*a[
             8] + 2*(1 + 63*a[1]^4 + 
             126*a[1]^5)*a[9]*a[10] + 
             2*a[8]*a[11] + 56*a[1]^3*a[
             8]*a[11] + 462*a[1]^6*a[8]*
             a[11] + 2*a[7]*a[12] + 
             21*a[1]^2*a[7]*a[12] + 
             792*a[1]^7*a[7]*a[12] + 
             a[6]*((3 + 42*a[1])*a[7]^
             2 + (2 + 6*a[1] + 1287*
             a[1]^8)*a[13]) + 2*a[1]*a[
             18] + 612*a[1]^14*a[18]) + 
            3*(20*(1 + 6*a[1] + 
             63*a[1]^4)*a[6]^2*a[9] + 
             840*a[1]^6*a[10]^2 + 
             504*a[1]^5*a[9]*a[11] + 
             1320*a[1]^7*a[9]*a[11] + 
             280*a[1]^4*a[8]*a[12] + 
             1980*a[1]^8*a[8]*a[12] + 
             20*a[1]*(a[10]^2 + 2*a[9]*
             a[11] + 2*a[8]*a[12]) + 
             4*a[1]*(10 + 15*a[1] + 
             1001*a[1]^9)*a[6]*a[14] + 
             a[19] + 20*a[1]^2*a[19] + 
             969*a[1]^16*a[19])) + 
          18*a[2]^8*(5*a[10]^2 + 
            11*a[1]*(5*a[9]*a[11] + 
             a[1]*(30*a[8]*a[12] + 
             13*a[1]*(10*a[7]*a[13] + 
             35*a[1]*a[6]*a[14] + 323*
             a[1]^7*a[19])))) + 
          6*a[1]*a[8]*a[20] + 56*a[1]^6*
           a[8]*a[20] + 380*a[1]^18*a[8]*
           a[20] + 24*a[2]^7*
           (15*a[6]^2*a[10] + 30*a[1]*
             a[10]*a[11] + 165*a[1]^2*
             a[10]*a[11] + 3*a[9]*
             a[12] + 660*a[1]^3*a[9]*
             a[12] + 2145*a[1]^4*a[8]*
             a[13] + 6006*a[1]^5*a[7]*
             a[14] + 15015*a[1]^6*a[6]*
             a[15] + 41990*a[1]^12*
             a[20]) + 6*a[1]*a[7]*
           a[21] + 42*a[1]^5*a[7]*
           a[21] + 420*a[1]^19*a[7]*
           a[21] + 28*a[2]^6*
           (9*a[7]^2*a[9] + 495*a[1]^2*
             a[6]^2*a[11] + 90*a[7]*
             (2*a[1]*a[6]*a[10] + 
             143*a[1]^7*a[15]) + 
            18*a[6]*(a[8]*a[9] + 
             1430*a[1]^8*a[16]) + 
            2*(165*a[1]^3*a[11]^2 + 
             45*a[1]^2*a[10]*a[12] + 
             495*a[1]^4*a[10]*a[12] + 
             9*a[1]*a[9]*a[13] + 
             1287*a[1]^5*a[9]*a[13] + 
             a[8]*a[14] + 3003*a[1]^6*a[
             8]*a[14] + 14535*a[1]^14*a[
             21])) + 6*a[1]*a[6]*a[22] + 
          30*a[1]^4*a[6]*a[22] + 
          462*a[1]^20*a[6]*a[22] + 
          42*a[2]^5*(4*a[8]^3 + 
            72*a[1]*a[6]*a[9]^2 + 
            792*a[1]^5*a[11]*a[12] + 
            330*a[1]^4*(6*a[6]^2 + 
             a[11])*a[12] + 1716*a[1]^6*
             a[10]*a[13] + 120*a[1]^3*
             (11*a[6]*a[7]*a[11] + 
             a[10]*a[13]) + 3432*a[1]^7*
             a[9]*a[14] + 36*a[1]^2*
             (5*a[7]^2*a[10] + a[9]*a[
             14]) + a[8]*(8*(1 + 9*a[1])*
             a[7]*a[9] + 8*(1 + 
             45*a[1]^2)*a[6]*a[10] + 
             a[1]*(8 + 6435*a[1]^7)*a[
             15]) + a[7]*a[16] + 
            11440*a[1]^9*a[7]*a[16] + 
            19448*a[1]^10*a[6]*a[17] + 
            10659*a[1]^16*a[22]) + 
          5*a[2]^4*(56*a[6]^3*a[8] + 
            21*a[7]*(a[9]^2 + 2*a[8]*a[
             10] + 2*a[7]*a[11]) + 
            5544*a[1]^6*a[12]^2 + 
            36036*a[1]^6*a[6]^2*a[13] + 
            2772*a[1]^5*a[11]*a[13] + 
            10296*a[1]^7*a[11]*a[13] + 
            18018*a[1]^8*a[10]*a[14] + 
            630*a[1]^4*(11*a[7]^2*a[
             11] + 2*a[10]*a[14]) + 
            30030*a[1]^9*a[9]*a[15] + 
            504*a[1]^3*(10*a[7]*a[8]*a[
             10] + a[9]*a[15]) + 
            48048*a[1]^10*a[8]*a[16] + 
            84*a[1]^2*(9*a[8]^2*a[9] + 
             18*a[7]*a[9]^2 + 2*a[8]*a[
             16]) + 74256*a[1]^11*a[7]*
             a[17] + 42*a[1]*
             (8*a[8]^2*a[9] + 8*a[7]*a[
             8]*a[10] + a[7]*a[17]) + 
            6*a[6]*(252*a[1]^2*a[9]*a[
             10] + 840*a[1]^3*a[9]*a[
             10] + 56*a[1]*a[8]*a[11] + 
             2310*a[1]^4*a[8]*a[11] + 
             7*a[7]*a[12] + 5544*a[1]^5*
             a[7]*a[12] + a[18] + 
             18564*a[1]^12*a[18]) + 
            33649*a[1]^18*a[23]) + 
          a[5]*(20*(1 + 18*a[1] + 
             56*a[1]^3)*a[6]^3*a[8] + 
            60*a[1]*a[8]^2*a[9] + 
            1680*a[1]^4*a[8]^2*a[9] + 
            1512*a[1]^5*a[8]^2*a[9] + 
            60*a[1]*a[7]*a[9]^2 + 
            420*a[1]^3*a[7]*a[9]^2 + 
            3024*a[1]^5*a[7]*a[9]^2 + 
            120*a[1]*a[7]*a[8]*a[10] + 
            840*a[1]^3*a[7]*a[8]*a[10] + 
            1680*a[1]^4*a[7]*a[8]*
             a[10] + 5040*a[1]^6*a[7]*
             a[8]*a[10] + 60*a[1]*a[7]^2*
             a[11] + 840*a[1]^3*a[7]^2*
             a[11] + 3960*a[1]^7*a[7]^2*
             a[11] + 3*a[12]^2 + 
            30*a[1]^2*a[12]^2 + 
            1320*a[1]^9*a[12]^2 + 
            1716*a[1]*a[2]^10*a[13] + 
            6*a[11]*a[13] + 60*a[1]^2*
             a[11]*a[13] + 990*a[1]^8*
             a[11]*a[13] + 1716*a[1]^10*
             a[11]*a[13] + 30*a[6]^2*
             ((1 + 12*a[1] + 42*a[1]^2)*
             a[7]^2 + 2*a[1]*(1 + 
             6*a[1] + 143*a[1]^8)*a[
             13]) + 40040*a[1]^3*a[2]^9*
             a[14] + 6*a[10]*a[14] + 
            60*a[1]^2*a[10]*a[14] + 
            720*a[1]^7*a[10]*a[14] + 
            2184*a[1]^11*a[10]*a[14] + 
            270270*a[1]^5*a[2]^8*a[15] + 
            6*a[9]*a[15] + 60*a[1]^2*
             a[9]*a[15] + 504*a[1]^6*
             a[9]*a[15] + 2730*a[1]^12*
             a[9]*a[15] + 6*a[8]*a[16] + 
            60*a[1]^2*a[8]*a[16] + 
            336*a[1]^5*a[8]*a[16] + 
            3360*a[1]^13*a[8]*a[16] + 
            720*a[2]^7*(a[7]*a[10] + 
             11*a[1]*a[6]*a[11] + 
             1144*a[1]^7*a[16]) + 
            6*a[7]*a[17] + 60*a[1]^2*
             a[7]*a[17] + 210*a[1]^4*
             a[7]*a[17] + 4080*a[1]^14*
             a[7]*a[17] + 56*a[2]^6*
             (9*a[9]^2 + 5*a[1]*(18*a[8]*
             a[10] + 11*a[1]*(9*a[7]*
             a[11] + 36*a[1]*a[6]*
             a[12] + 442*a[1]^7*
             a[17]))) + 336*a[2]^5*
             (9*a[1]*a[9]*a[10] + 
             45*a[1]^2*a[9]*a[10] + 
             a[8]*a[11] + 165*a[1]^3*a[
             8]*a[11] + 495*a[1]^4*a[7]*
             a[12] + 1287*a[1]^5*a[6]*a[
             13] + 3978*a[1]^11*a[18]) + 
            6*a[6]*(504*a[1]^5*a[9]*a[
             10] + 840*a[1]^6*a[9]*a[
             10] + 280*a[1]^4*a[8]*a[
             11] + 1320*a[1]^7*a[8]*a[
             11] + 1980*a[1]^8*a[7]*a[
             12] + 20*a[1]*(a[9]*a[10] + 
             a[8]*a[11] + a[7]*a[12]) + 
             a[18] + 816*a[1]^15*a[18] + 
             10*a[1]^2*(6*a[9]*a[10] + 
             6*a[8]*a[11] + 6*a[7]*
             a[12] + a[18]) + 20*a[1]^3*(
             7*a[7]*a[12] + a[18])) + 
            210*a[2]^4*(36*a[1]*a[6]^2*a[
             9] + 120*a[1]^3*a[10]^2 + 
             36*a[1]^2*a[9]*a[11] + 
             330*a[1]^4*a[9]*a[11] + 
             8*a[1]*a[8]*a[12] + 
             792*a[1]^5*a[8]*a[12] + 
             a[7]*a[13] + 1716*a[1]^6*a[
             7]*a[13] + 8*a[6]*(a[7]*
             a[8] + 429*a[1]^7*a[14]) + 
             3876*a[1]^13*a[19]) + 
            20*a[2]^3*(42*(1 + 4*a[1])*
             a[7]^2*a[8] + 336*a[1]*a[6]*
             a[8]^2 + 1260*a[1]^4*a[10]*
             a[11] + 2772*a[1]^5*a[10]*a[
             11] + 5544*a[1]^6*a[9]*a[
             12] + 504*a[1]^3*(5*a[6]^2*
             a[10] + a[9]*a[12]) + 
             168*a[1]^2*a[8]*a[13] + 
             10296*a[1]^7*a[8]*a[13] + 
             42*a[7]*((1 + 36*a[1]^2)*
             a[6]*a[9] + a[1]*(1 + 
             429*a[1]^7)*a[14]) + 
             6*a[6]*a[15] + 30030*a[1]^
             9*a[6]*a[15] + a[20] + 
             15504*a[1]^15*a[20]) + 
            30*a[2]^2*(12*a[6]^2*a[11] + 
             a[11]^2 + 924*a[1]^6*a[11]^
             2 + 2*a[10]*a[12] + 
             1584*a[1]^7*a[10]*a[12] + 
             252*a[1]^5*(11*a[6]^2*
             a[11] + 2*a[10]*a[12]) + 
             2*a[9]*a[13] + 2574*a[1]^8*
             a[9]*a[13] + 252*a[1]^4*(
             10*a[6]*a[7]*a[10] + 
             a[9]*a[13]) + 2*a[8]*a[
             14] + 4004*a[1]^9*a[8]*a[
             14] + 56*a[1]^3*(9*a[7]^2*
             a[9] + 2*a[8]*(9*a[6]*
             a[9] + a[14])) + 2*a[7]*a[
             15] + 6006*a[1]^10*a[7]*a[
             15] + 42*a[1]^2*(8*a[6]*
             a[8]*a[9] + a[7]*
             (8*a[8]^2 + a[15])) + 
             8736*a[1]^11*a[6]*a[16] + 
             2*a[6]*(6*a[8]*a[9] + 
             6*a[7]*a[10] + a[16]) + 
             2394*a[1]^17*a[21] + 
             2*a[1]*(42*a[7]^2*a[9] + 
             21*a[7]*(a[8]^2 + 2*a[6]*
             a[10]) + 6*a[6]*a[16] + 
             a[21])) + 2*a[2]*
             (60*(3 + 7*a[1])*a[6]^3*a[
             7] + 10*(1 + 168*a[1]^3)*
             a[8]^3 + 30*(1 + 12*a[1] + 
             792*a[1]^7)*a[6]^2*a[12] + 
             60*a[8]*((1 + 21*a[1]^2 + 
             56*a[1]^3 + 126*a[1]^4)*
             a[7]*a[9] + a[1]*(1 + 
             14*a[1]^3 + 273*a[1]^10)*
             a[15]) + 30*a[6]*(
             (1 + 6*a[1] + 252*a[1]^4)*
             a[9]^2 + 2*((1 + 6*a[1] + 
             56*a[1]^3 + 252*a[1]^5)*
             a[8]*a[10] + (1 + 6*a[1] + 
             21*a[1]^2 + 462*a[1]^6)*
             a[7]*a[11] + a[1]*(1 + 
             3*a[1] + 476*a[1]^12)*
             a[17])) + 3*(10*(1 + 
             42*a[1]^2 + 252*a[1]^5)*
             a[7]^2*a[10] + 1320*a[1]^7*
             a[11]*a[12] + 1980*a[1]^8*
             a[11]*a[12] + 840*a[1]^6*
             a[10]*a[13] + 2860*a[1]^9*
             a[10]*a[13] + 504*a[1]^5*
             a[9]*a[14] + 4004*a[1]^10*
             a[9]*a[14] + 20*a[1]*
             (a[11]*a[12] + a[10]*
             a[13] + a[9]*a[14]) + 
             20*a[1]*(1 + 7*a[1]^2 + 
             364*a[1]^11)*a[7]*a[16] + 
             a[22] + 10*a[1]^2*a[22] + 
             1540*a[1]^19*a[22])) + 
            6*a[1]*a[23] + 20*a[1]^3*
             a[23] + 506*a[1]^21*
             a[23]) + 4*a[2]^3*
           (1260*a[1]^2*a[6]^3*a[9] + 
            15*a[6]^2*(7*(1 + 8*a[1])*a[
             7]*a[8] + (2 + 3003*a[1]^8)*
             a[14]) + 15*a[6]*
             (7*a[7]^3 + (1 + 420*a[1]^
             4)*a[10]^2 + 2*(1 + 
             7*a[1] + 1716*a[1]^7)*a[7]*
             a[13] + 2*((1 + 84*a[1]^3 + 
             462*a[1]^5)*a[9]*a[11] + 
             (1 + 28*a[1]^2 + 924*a[1]^
             6)*a[8]*a[12] + a[1]*(1 + 
             1938*a[1]^13)*a[19])) + 
            a[1]*(210*a[7]*(a[9]*a[10] + 
             a[8]*a[11] + a[7]*a[12]) + 
             3960*a[1]^6*a[12]*a[13] + 
             6435*a[1]^7*a[12]*a[13] + 
             10010*a[1]^8*a[11]*a[14] + 
             2310*a[1]^5*(6*a[7]^2*
             a[12] + a[11]*a[14]) + 
             15015*a[1]^9*a[10]*a[15] + 
             1260*a[1]^4*(11*a[7]*a[8]*
             a[11] + a[10]*a[15]) + 
             21840*a[1]^10*a[9]*a[16] + 
             630*a[1]^3*(5*a[8]^2*
             a[10] + a[9]*(10*a[7]*
             a[10] + a[16])) + 30940*
             a[1]^11*a[8]*a[17] + 
             280*a[1]^2*(9*a[7]*a[9]*
             a[10] + a[8]*(9*a[9]^2 + 
             a[17])) + 42840*a[1]^12*a[
             7]*a[18] + 105*a[1]*(
             8*a[8]^2*a[10] + 4*a[8]*
             (a[9]^2 + 2*a[7]*a[11]) + 
             a[7]*a[18]) + 10626*a[1]^19*
             a[24])) + 3*a[2]^2*
           (60*a[6]*a[7]^2*a[8] + 
            60*a[6]^2*(a[8]^2 + 2*a[7]*a[
             9]) + 60*a[6]^3*a[10] + 
            2860*a[1]^9*(a[13]^2 + 
             14*a[6]*a[7]*a[14]) + 
            990*a[1]^8*(13*a[7]^2*a[
             13] + 26*a[6]*a[8]*a[13] + 
             2*a[12]*a[14]) + 
            5460*a[1]^11*a[11]*a[15] + 
            2002*a[1]^10*(2*a[12]*a[
             14] + 15*a[6]^2*a[15]) + 
            1320*a[1]^7*(12*a[7]*a[8]*a[
             12] + 12*a[6]*a[9]*a[12] + 
             a[11]*a[15]) + 20*a[1]*
             (7*a[7]^4 + 42*a[6]*a[7]^2*
             a[8] + 3*a[6]*a[7]*(7*a[6]*
             a[9] + 2*a[14]) + 6*a[6]*(
             a[10]*a[11] + a[9]*a[12] + 
             a[8]*a[13] + a[6]*a[15])) + 
            7280*a[1]^12*a[10]*a[16] + 
            420*a[1]^6*(11*a[8]^2*a[
             11] + 22*a[7]*a[9]*a[11] + 
             2*a[10]*(11*a[6]*a[11] + 
             a[16])) + 9520*a[1]^13*a[9]*
             a[17] + 504*a[1]^5*
             (10*a[8]*a[9]*a[10] + 
             10*a[7]*a[10]^2 + 10*a[6]*a[
             10]*a[11] + a[9]*a[17]) + 
            12240*a[1]^14*a[8]*a[18] + 
            140*a[1]^4*(9*a[9]^3 + 
             30*a[6]^3*a[10] + 18*a[9]*(
             a[8]*a[10] + a[7]*a[11] + 
             a[6]*a[12]) + 2*a[8]*a[
             18]) + 15504*a[1]^15*a[7]*
             a[19] + 140*a[1]^3*
             (36*a[6]^2*a[7]*a[9] + 
             8*a[8]^2*a[11] + 8*a[8]*(
             a[9]*a[10] + a[7]*a[12]) + 
             8*a[6]*a[8]*a[13] + 
             a[7]*a[19]) + 19380*a[1]^16*
             a[6]*a[20] + 30*a[1]^2*
             (56*a[6]^2*a[8]^2 + 
             7*a[7]*(a[10]^2 + 
             2*(a[9]*a[11] + a[8]*
             a[12] + a[7]*a[13])) + 
             2*a[6]*(28*a[7]^2*a[8] + 
             7*a[7]*a[14] + a[20])) + 
            a[25] + 2300*a[1]^22*
             a[25]) + 2*a[2]*
           (15*a[6]^5 + 630*a[1]^2*
             a[7]^3*a[8] + 60*a[1]*
             (3 + 77*a[1]^5)*a[6]^3*
             a[11] + 3*a[13]*a[14] + 
            1092*a[1]^11*a[13]*a[14] + 
            858*a[1]^10*(7*a[7]^2 + 
             a[13])*a[14] + 140*a[1]^3*
             a[7]*(4*a[7]^2*a[8] + 
             3*(a[10]*a[11] + a[9]*
             a[12] + a[8]*a[13]) + 
             3*a[7]*a[14]) + 3*a[12]*
             a[15] + 1365*a[1]^12*a[12]*
             a[15] + 660*a[1]^9*
             (13*a[7]*a[8]*a[13] + 
             a[12]*a[15]) + 3*a[11]*
             a[16] + 1680*a[1]^13*a[11]*
             a[16] + 30*a[1]*a[6]^2*
             (2*(6 + 28*a[1]^2 + 
             63*a[1]^3)*a[8]*a[9] + 
             3*(4 + 7*a[1] + 84*a[1]^4)*
             a[7]*a[10] + 2*a[1]*(3 + 
             182*a[1]^10)*a[16]) + 
            495*a[1]^8*(6*a[8]^2*a[12] + 
             12*a[7]*a[9]*a[12] + 
             a[11]*a[16]) + 3*a[10]*
             a[17] + 2040*a[1]^14*a[10]*
             a[17] + 360*a[1]^7*
             (11*a[8]*a[9]*a[11] + 
             a[10]*(11*a[7]*a[11] + 
             a[17])) + 3*a[9]*a[18] + 
            2448*a[1]^15*a[9]*a[18] + 
            252*a[1]^6*(5*a[9]^2*a[10] + 
             10*a[10]*(a[8]*a[10] + 
             a[7]*a[11]) + a[9]*a[18]) + 
            3*a[8]*a[19] + 2907*a[1]^16*
             a[8]*a[19] + 168*a[1]^5*
             (9*a[9]^2*a[10] + 9*a[9]*(
             a[8]*a[11] + a[7]*a[12]) + 
             a[8]*a[19]) + 3*a[7]*
             a[20] + 3420*a[1]^17*a[7]*
             a[20] + 105*a[1]^4*
             (8*a[8]^2*a[12] + 4*a[8]*(
             a[10]^2 + 2*a[9]*a[11] + 
             2*a[7]*a[13]) + a[7]*a[
             20]) + 3*a[6]*(60*a[1]*a[7]*
             (a[8]^2 + a[7]*a[9]) + 
             1320*a[1]^7*a[11]^2 + 
             840*a[1]^6*a[10]*a[12] + 
             1980*a[1]^8*a[10]*a[12] + 
             504*a[1]^5*a[9]*a[13] + 
             2860*a[1]^9*a[9]*a[13] + 
             4004*a[1]^10*a[8]*a[14] + 
             140*a[1]^4*(9*a[7]^2*a[9] + 
             2*a[8]*a[14]) + 5460*a[1]^
             11*a[7]*a[15] + 30*a[1]^2*(
             14*a[7]^2*a[9] + a[11]^2 + 
             2*a[10]*a[12] + 2*a[9]*
             a[13] + 2*a[8]*a[14] + 
             a[7]*(7*a[8]^2 + 2*
             a[15])) + a[21] + 1330*a[1]^
             18*a[21] + 20*a[1]^3*(
             7*a[7]*(8*a[8]^2 + a[15]) + 
             a[21])) + a[26] + 
            3*a[1]*a[26] + 325*a[1]^24*
             a[26]) + 3*a[1]^2*a[27] + 
          27*a[1]^26*a[27]) + 
        2*a[1]*a[2]*a[28] + 28*a[1]^27*
         a[2]*a[28] - b[29])
         *SetAccuracy[1,0.01];
  Sum[x^i*a[i],{i,1,29}]]

coefftab = {{0.063481649006855486572067481665426851118750018354587797784765`58.802648199514394, 
            1.031494160059684561057934710469430140382099027874547549677`57.01346677350061, 
            0.253906868453726935934644916561067612449360287773217429`53.404674449165206, 
            0.020843136591201807168191820875750788083655911026623`49.31896307459629, 
            0.000076958339799204103147307803790313255298908971`43.88625569021711, 
            0.000232253980714168499921780935702008685900131`41.36596316631425, -0.000073776743611333479623015529662917218911`37.867919482242925, 
            7.990392402758623289409359753181271999999999999999998`33.90256810774555*^-6, 
            0.000010416326287005608282217564475136`31.017714575527748, -8.453419184333529932986122089`27.92703240510829*^-6, 
            1.894621293024482362065232000000000000000001`24.277522413889194*^-6, 2.088540375534270104171`21.31984287543655*^-6, -2.153157688106243323`18.33307583686791*^-6, 
            1.41620395131568`14.151125801766684*^-7, 
            1.372493044871`12.137510152333935*^-6, -1.003839266`9.001664179464788*^-6, -6.20733`5.792904834376758*^-7, 
            1.54`3.1875207208364644*^-6}, {0.062987019659425511022411344245103156116085475417049908298495`58.79925105943597, 
            1.01556460382723079044742995107601119685080010010642741073`57.0067075557007, 
            0.124038794657559102805363266795460450843044521555386786`53.093557537345085, -0.005044105499513830998337314642966625091043485979662`48.7027841614414, 
            0.000661114093558299232163125920028444372406296179`44.82027641550215, 
            0.000016811177998544438555232132627629615213521`40.22559814653541, -0.000076140220680589345935697022450351170821`37.881614131215194, 
            0.000040642565032449149491910960397633752000000000000000001`34.60898110932225, -0.000010035493480121143799946047495684`31.001538733118885, -2.991882632308223676328282666`27.475944552714928*^-6, 
            4.236131409691167479015328000000000000000001`24.62696942396107*^-6, -1.222512412157387842568`21.087253277205964*^-6, -1.146262050295422447`18.059283914304512*^-6, 
            1.255260729174851`15.09873394213682*^-6, 
            5.137313083`10.710736033716547*^-8, -1.017645882`9.007596679525063*^-6, 5.84799`5.767006621311549*^-7, 
            7.18`2.8561244442423006*^-7, 
            0``5.999999999999995}, {0.062742569599201610695878963564923348659573825267319488598502`58.797562301099084, 
            1.007737382543510535316437095210925214920722998467511950989`57.003347369240345, 
            0.061307407814358129623905714398029651977445175825745031`52.78751295377656, -0.006213227677888154240203399733430499914471550142453`48.793317268217784, 0.001156856723686561025709291790004120867784977294`45.06327957505774, -0.000203562136882776084501899962540414294657869`41.308697001208564, 
            6.915620219392043182475047298614123681`36.83983113538975*^-6, 
            0.000018801575942286040755367472349544195000000000000000001`34.27419425321867, -0.000010430106793639560460483128761361`31.018288755181175, 
            1.681922615994514641599194715`27.225806010356255*^-6, 
            1.643145084891475729997202000000000000000004`24.215675912057044*^-6, -1.24260983910626047917`21.094334788076903*^-6, -1.16855084414674535`17.067647613477906*^-7, 
            7.14925666855072`14.854260889139733*^-7, -2.94209594091`11.46865683084169*^-7, -4.01551408`8.603741153055612*^-7, 5.15883`5.712551216712548*^-7, 
            1.06`2.025305865264771*^-7}, {0.062621051096131300037310708051632753890347175118078832195337`58.796720352987364, 
            1.003857547427888137320484944670676814359484676462851542643`57.00167208855066, 
            0.030477744075148245660674221873333248620588142660309042`52.48398281791779, -0.004008228609117385984493637903012497528095675133265`48.602952483529556, 0.000863233687595282086260404089463938391329637443`44.93612838029773, -0.000194117300279819497812968197700110887663398`41.28806424265906, 
            0.000031328094163418870902715858184499636903`37.49593397549178, 
            
            2.997448632739091224697535340550002999999999999999999`33.476751749332486*^-6, -4.972382420879990456367316558578`30.696564522401452*^-6, 
            1.560825538411814076011298755`27.193354362422205*^-6, 
            4.87960022488408581390151000000000000000002`23.688384242650493*^-7, -6.70454223166572171101`20.826369130726263*^-7, 
            7.2906289026762099`16.8627649929519*^-8, 
            3.30550469586161`14.51923777846426*^-7, -2.17536417864`11.337531972800615*^-7, -1.43263379`8.156135190182566*^-7, 
            2.88641`5.460358020482585*^-7, -2.7`1.4313637641589867*^-8}, {0.062560467290334351406407729261003590023198970174874354415337`58.79629998399131, 
            1.00192599841303751284230994314259225653655592789018878489`57.00083564601456, 
            0.015195133943999282328557119186372395911892442487294226`52.181704532707066, -0.002226914740914374425466217767486426710933506876416`48.34770359006537, 
            0.000512261954604702928518903610923920041710651365`44.70949210227728, -0.000125968549816721636432281912387778585960128`41.10026212967339, 
            0.000025508788860952187122293152024131169`37.406689839107955, -1.349157489861885154264497022734953000000000000000001`33.130062648697674*^-6, -1.973301380007660571816235578481`30.295193419605265*^-6, 
            8.46339424802496483494098774`26.927544571969648*^-7, 
            1.63358022765256376543126999999999999999999`23.213140468209197*^-7, -3.34829225807298219267`20.524823358678695*^-7, 
            6.749176714242942`16.829250799458006*^-8, 
            1.53174419864406`14.18518624415226*^-7, -1.23366166793`11.091196070639043*^-7, -5.4544207`7.736748632073199*^-8, 1.47798`5.169668557233094*^-7, -3.3`1.5185139398778866*^-8}, {0.062530219101681011249379123832195816840078793127907914996157`58.79608995042199, 
            1.000962306708236979826083591316579145972363132523278576347`57.00041772353643, 
            0.007586663756745280570699597166645064376614883917915927`51.88005083642652, -0.001168834790348036999056089940687796974282876296043`48.06775312988663, 
            0.000277452240067704902105987422018155420495839591`44.44318823553013, -0.000070994075943829608981098201409809159201357`40.85122211080014, 
            0.00001563037104269974403763357781834841461`37.1939692876727, -1.580629869856796366820101079270082000000000000000003`33.198830184734305*^-6, -7.79905460194443502089807372212`29.892041960890104*^-7, 
            4.14696545928075923858610735`26.617730418072906*^-7, 
            6.6013348144968290633502`22.8196317603839*^-8, -1.66772234243220626359`20.22212374702891*^-7, 
            4.130640331153184`16.616017381131073*^-8, 
            7.2930693719994`13.862910344611024*^-8, -6.4859422845`10.811973079761765*^-8, -2.2760194`7.357175959514352*^-8, 
            7.4212`4.870474135904503*^-8, -2.2`1.342422680822205*^-8}, {0.062515105917582915924336635944671931261536466016147935285812`58.795984971327584, 
            1.000480980395069976949008471307807359149448480644879291026`57.00020883691228, 
            0.003790609977202775278387318392331451541908077111379798`51.578709101371174, -0.000598221582648666618915262151257202288246825972861`47.77686207746183, 
            0.000144200167264077838112294939831614294899155844`44.15896576414086, -0.000037600579612263138827390122111062865265579`40.575194539620945, 
            8.58962737868129026319464933085972807`36.93397432437926*^-6, -1.043717540627381102603128587403832000000000000000002`33.01858298224436*^-6, -3.26852059504095397997912275489`29.514351225812405*^-7, 
            2.01277714168071262334359855`26.303795691681362*^-7, 
            3.0010901951527647415286000000000000000002`22.47727904796351*^-8, -8.3273622071194371924`19.920507455150933*^-8, 
            2.2539692002537668`16.35294797725968*^-8, 
            3.5469950589345`13.549860583487739*^-8, -3.315787886`10.520586740549478*^-8, -1.0229306`7.0098461703109525*^-8, 
            3.7114`4.569537763411334*^-8, -1.2`1.0791812460476253*^-8}, {0.062507552050803531134068868778641510014226689930137684008792`58.79593249119772, 
            1.000240446978441511956211728791206580745148447093414326698`57.00010441224363, 
            0.001894625000461599231662036574954857476167265502346402`51.27752326372547, -0.000302556827758825007297760325078540455118111373829`47.4808069580436, 
            0.000073486483149392178749149180096173672792536502`43.866207463798766, -0.000019339015449079163366969773332978261926286`40.28643436034077, 
            4.495584647399060883073336351358779228`36.652786179412566*^-6, -5.88742772819043301991189739224181000000000000000003`32.76992558893683*^-7, -1.46116624837522635649521327775`29.16469963184423*^-7, 
            9.8569401617012417634864412`25.993742120100993*^-8, 
            1.4397731920790243704256000000000000000003`22.15829408293789*^-8, -4.1623935843976435741`19.619343143499446*^-8, 
            1.174320573353939`16.06978666951289*^-8, 
            1.7475543789639`13.242430698647482*^-8, -1.6752248698`10.22407311176596*^-8, -4.824599`6.683461222483038*^-9, 
            1.855`4.2683439139510675*^-8, -6.`0.7781512503836442*^-9}, {0.062503775798445575616809304551496867981577488207161860508714`58.795906253486464, 
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Some theory

The PowerTower function for integers was defined this way (I have just changed x to y)

PowerTower[y_?NumericQ, n_Integer?Positive] := 
      Nest[Power[y, #] &, y, n - 1]

We then easily find that

PowerTower[y, n] == Power[y, PowerTower[y, n - 1]]

Thus

(Subscript[g, y])[x_] :=  Power[y, x]

is a "step-up" function, which can be used as to form a recursive formula for PowerTower:

PowerTower[y, n] = (Subscript[g, y])[PowerTower[y, n - 1]]

If we start with the PowerTower function for some given y, we can note that just some point values of the step-up function are used. We could thus define an infinite number of step-up functions that do the same job, as long as the function values in these isolated points are the same. And for each such function, we might find a way of extending the hyper exponent to real values. So we remove a lot of ambiguity if we associate PowerTower  for real hyper exponents both with the PowerTower for integer hyper exponents and a specified step-up function. I find it quite natural to demand that we should choose (y^x) as "the" step-up function of interest.

If we find a function f[x] for which f[f[x]] == g[x] when g[x] = (Subscript[g, y])[x], we can see that f[x] can act as a "halfway" step-up function.

Suppose that we have obtained a solution f[x]to the equation f[f[x]] == g[x]. Let h[x] be a well-behaved function with the inverse (h^((-1))). Then (Subscript[f, 1])[x]=h[f[(h^((-1)))[x]]] should be a solution to the equation (Subscript[f, 1])[(Subscript[f, 1])[x]]==h[g[(h^((-1)))[x]]].

A special case of this is if h[x] == g[x]. Then (Subscript[f, 1])[x]evidently becomes equal to f[x], but can be calculated as g[f[(g^((-1)))[x]]]. Thus, if the value of f in the point (g^((-1)))[x] is known, we might also calculate the value in the point x.  We might here also interchange (g^((-1)))[x] and g[x]. Thus we have a comb of interrelated values. If we know an interval of values for f, we might map this interval to several places. If the interval is large enough, we might cover the whole real axis, if that is reachable by successive application of g or (g^((-1))).  Thus, if we want to find the solution f, we might start looking in the region around some fixed point for g[x] OR we might start looking at very large values of x or somewhere else, climbing up and down the ladder. My strategy for finding the solution to f[f[x]] == Exp[x] is thus to start at x, climb up to large values of x, approximate f[x] there with the corresponding solution for some function with fixed point and with the same asymptotic behaviour as Exp[x], climb down to the neighborhood of the fixed point for this function, fetch a value, climb up again to large x values and climb down again to deliver the value f[x]. It works!  

A mistake I made was to assume the following: Assume that if (Subscript[f, 1]) is the solution for g[x] = 2 Sinh[x] and (Subscript[f, 2]) is the solution for g[x] = (e^x).  I thought we could with very good precision approximate (Subscript[f, 2]) with (Subscript[f, 1]) if x is large enough (say x > 20 or so). It seems reasonable that the relative error we do in that approximation should have an upper bound (e^(-2 x)). The function (Subscript[f, 1]) can be found by using the series expansion of 2 Sinh[x] for small x, since x = 0 is a fixed point of 2 Sinh[x]. But as has been pointed out by kind experts in the field, this assumption is not valid. The mathematics is not so kind and well-behaved. 

If we compare f1 with the corresponding solution f3 for g[x] = Exp[x]-1, we see that they also then should have the same asymptotic behaviour. Both are derived from the analytical expression at small x, but anyway the difference between f1 and f3 will show oscillations when x gets large. When we pick out the analytic expression for the solution f1 and f3, these solutions are special and unique just at the fixed point, but a bit away from the fixed point the mathematics do not discern between that special solution and other solutions (which might oscillate near to the fixed point, maybe similar to x*Sin[1/x]). I have obtained a solution f2 for g[x] = E^x by identifying the asymptotic behaviour with that for f1, but I could as well have used f3, and would then obtain another good solution. f2 is thus not an unique solution, even if it seems to be a nice solution. 

This is also illustrated if we solve the equation f[f[x]] == g[x] for 
g[x] = Exp[k*x] for small k (0 < k < 1/E). There g[x] has two fixed 
point, and the smaller one can be used to find the solution for x < E, and the larger fixed point can be used for x > E, by identification of Taylor expansion coefficients. It is thus not needed to compare 
asymptotes in this case. If we then calculate the function f, we will 
find that the curves do not connect at x = E. There is a jump of size approx. 0.003 for k=0.01. This is an effect of the fact that there is no solution to f(f(x)) = g(x) that manages to be "regular" at both fixed points. There is a discontinuity line in the function f = fexpk[x,k,0.5], along the line x==E from k=0 to k=1/E. The plot below illustrates the size of the jump. Horizontal axis is k from zero to (almost) 1/E, and vertical axis is

Plot[
      fexpk[N[E + 10^-97, 100], k, 0.5] - 
        fexpk[N[E - 10^-97, 100], k, 0.5], {k, N[1/100, 100], 
        N[1/E - 1/1000, 100]}, PlotRange -> {0, 0.003}, 
      ImageSize -> {500, 300}]

We might calculate one value at k=0.01:

fexpk[N[E + 10^-97, 100], 0.01, 0.5] - 
      fexpk[N[E - 10^-97, 100], 0.01, 0.5]

The PowerTower function is not affected by this jump, since this function will just sample values on the left side of the smaller fixed point. It is not possible to pass the jump line by iteration the function Exp[k x] (or its inverse) a finite number of times. Thus we can anyway use this fixed point to define PowerTower for real exponents for 1 < x <= Exp[1/E]. 

For larger values of k, there are thus several solutions f(x) available, where it is difficult to say that one is "unique", since there are no fixed points for Exp[k * x]. (Maybe one could find a solution that is the "best", according to some criterion.) Then this spills over to PowerTower too. If x > Exp[1/E], the range of PowerTower[x, n] for real values of n >= -2 is from -Infinity up to (approaching) +Infinity. Then if we would have PowerTower defined in some unique way, the relation 

PowerTower[y, n] = f[PowerTower[y, n - 1/2]] 

should define an unique solution f(x) to
 
f[f[x]] == Exp[k*x] with k = Log[y], 

and thus we get a contradiction if we state that there is no 
unique solution to this equation. 
All this does not seem to be common knowledge today (e.g. it is not clear for me from Wikipedia), but much of the behaviour follows directly from the description by G. Szekeres in "Abel's equation and regular growth: Variations of a theme by Abel", see  www . emis . de/journals/EM/restricted/
                7/7.2/szekeres . ps. 
Anyway, even if the solution f is not unique, there could be useful to have available some nice solutions from the solution set. Then we might at least be able to choose "the best" or "the best known so far". I have solved the equation by letting f[x] ride on the asymptotic behaviour of some "horse function", with fixed points. (I think that this is my contribution to this field of mathematics.) In the paper by Szekeres it is indicated that Exp[x] - 1 should display "regular growth". If that is true, it could be the ideal horse function. Another similar alternative, which also then should have regular growth behaviour, is Exp[k*x] - (1 + Log[k])/k, which becomes identical to Exp[k*x] at the k value 1/E, and can be transformed to Exp[x]-1 by a simple scale transformation. If the horse function has regular growth, the riding function should inherit this property. 
The fixed point for the horse function can be used for deriving the decompositional power p, by identification of the Taylor expansions. 
This horse function have the pros that it allows a seamless continuous horse function in the whole region (as function of x and k), easily is inverted and allows simplifications in the calculations, but it has the cons that it is not odd and that iterations near x=0 are very slow. We could play around with some linear combinations of Sinh[k x] with ArcTan[c x] or x Exp[(x^2)/2σ], but the simplicity of the chosen horse function feels attractive. 
Here below is a plot of y = x together with Exp[k*x] - (1 + Log[k])/k for k = 2. The fixed point is at the tangent point.

k = 2; 
    Plot[{Exp[k*x] - (1 + Log[k])/k, x}, {x, -1, 1}, 
      AspectRatio -> Automatic]; k =. ;

Some graphics

exp[k x] is 1 for x = 0 and  exp[k] for x = 1. Plot the halfway-from-zero value for k values 0.01 to 10.

list1 = 
        Table[{k, fexpk[0. , k, 0.5]}, {k, 0.01, 10.0, 0.01}];

ListPlot[list1, PlotJoined -> True, ImageSize -> {500, 300}, 
      PlotRange -> {0, 1}]

exp[k x] is 0 for x = -∞ and  0 for x = 0. Plot the halfway-to-zero value for k values 0.01 to 10.

list2 = 
        Table[{k, fexpk[-Infinity, k, 0.5]}, {k, 0.01, 10.0, 
            0.01}];

ListPlot[list2, PlotJoined -> True, ImageSize -> {500, 500}, 
      PlotRange -> {-10, 0}]

Here is the "half-way" function f[x] (solution to f[f[x]]= Exp[x]) plotted together with y=x and Exp[x]

list3 = 
        Table[{x, fexpk[x, 1. , 0.5]}, {x, -10. , 5.0, 
            0.1}];

Plot[{x, fexpk[x, 1. , 0.5], Exp[x]}, {x, -10. , 10.0}, 
      ImageSize -> {500, 500}, 
      PlotRange -> {{-10, 10}, {-10, 10}}, 
      AspectRatio -> Automatic]

The same figure, with the fractional iterates to Exp[x] to the decompositional powers 0.1, 0.2, ..., 0.9 added.

Plot[{x, fexpk[x, 1. , 0.1], fexpk[x, 1. , 0.2], fexpk[x, 1. , 0.3], 
        fexpk[x, 1. , 0.4], fexpk[x, 1. , 0.5], fexpk[x, 1. , 0.6], 
        fexpk[x, 1. , 0.7], fexpk[x, 1. , 0.8], fexpk[x, 1. , 0.9], 
        Exp[x]}, {x, -10. , 10.0}, ImageSize -> {500, 500}, 
      PlotRange -> {{-10, 10}, {-10, 10}}, 
      AspectRatio -> Automatic]

The PowerTower function for e for hyper-exponents -2 to 2

Plot[{PowerTower[N[E], n]}, {n, -2. , 2}, 
      ImageSize -> {500, 500}, 
      PlotRange -> {{-10, 10}, {-10, 10}}, 
      AspectRatio -> Automatic]

PowerTower[x,2] compared to PowerTower[x,x]for x=1 to 3. Of course PowerTower[x,x] grows faster. (Takes some time to plot.)

Plot[{PowerTower[x, 2], PowerTower[x, x]}, {x, 1. , 3. }, 
      ImageSize -> {500, 500}, PlotRange -> {{0, 10}, {0, 10}}, 
      AspectRatio -> Automatic]

Examples

E tetrated to Pi:

Timing[PowerTower[N[E, 50], N[Pi, 50]]]

fexpk[SetAccuracy[0, 60], SetAccuracy[1, 60], 0.5]

PowerTower[N[E, 50], N[-1/2, 50]]

PowerTower[N[E, 50], N[-3/2, 50]]

Pi tetrated to E:

Timing[PowerTower[N[Pi, 50], N[E, 50]]]

Test to solve what 10 should be tetrated to, to obtain one googol:

Timing[
      FindRoot[PowerTower[10. , x] == 10. ^100, {x, 2.3, 2.4}]]

PowerTower[10. , 2.3944048760309897]

2 tetrated to 0.5:

Timing[PowerTower[SetAccuracy[2, 50], 0.5]]

Timing[PowerTower[N[Sqrt[E], 50], 0.5]]

Timing[PowerTower[N[Sqrt[E], 50], 0.5500000000000000000]]

Timing[PowerTower[N[Exp[1/E],  100], 0.5]]

There are some problems of mathematical nature slightly above Exp[1/E].

Timing[PowerTower[N[Exp[1/E],  100] + 10^-10, 0.5]]

Timing[PowerTower[N[Exp[1/E],  100] + 10^-9, 0.5]]

Timing[PowerTower[N[Exp[1/E],  100] + 10^-8, 0.5]]

Timing[PowerTower[N[Exp[1/E],  100] + 10^-7, 0.5]]

Timing[PowerTower[N[Exp[1/E],  100] + 10^-6, 0.5]]

Timing[PowerTower[N[Exp[1/E],  100] + 10^-5, 0.5]]

N[Exp[1/E],  100]

fexpk[
      1.257153075054172622171646564771545603157800994805204578666`46.24345846399373, N[1/E,  100], 0.5]

PowerTower[1.01, 0.5]

PowerTower[1.01, 0.01]