var('x,y,z,w,u')
s(x,y,z,w,u)=0
t(x,y,z,w,u)=x^20+y^20+z^20+w^20+u^20
for j in range(7):
    h(x,y,z,w)=t(x,y,z,w,0)
    r(a,b,c,d)=0
    for i in range(7):
        g(x,y,z)=h(x,y,z,0)
        q(a,b,c)=0
        for n in range(8):
            f(x,y)=g(x,y,0)
            p(a,b)=0 
            for m in range(11):
                p(a,b)=p(a,b)+f(a,0)*b^m
                f(x,y)=expand((f(x,y)-f(x+y,0))/x/y)
            q(a,b,c)=q(a,b,c)+p(a,b)*c^n
            g(x,y,z)=expand((g(x,y,z)-p(x+y+z,x*y+x*z+y*z))/x/y/z)
        r(a,b,c,d)=r(a,b,c,d)+q(a,b,c)*d^i
        h(x,y,z,w)=expand((h(x,y,z,w)-q(x+y+z+w,x*y+x*z+x*w+y*z+y*w+z*w,x*y*z+x*y*w+x*z*w+y*z*w))/x/y/z/w) 
    s(a,b,c,d,e)=s(a,b,c,d,e)+r(a,b,c,d)*e^j 
    t(x,y,z,w,u)=expand((t(x,y,z,w,u)-r(x+y+z+w+u,x*y+x*z+x*w+y*z+y*w+z*w+u*x+u*y+u*z+u*w,x*y*z+x*y*w+x*z*w+y*z*w+x*y*u+x*z*u+x*w*u+y*z*u+y*w*u+z*w*u,x*y*z*w+x*y*z*u+x*y*w*u+x*z*w*u+y*z*w*u                                       ))/x/y/z/w/u)
print (expand(s(x+y+z+w+u,x*y+x*z+x*w+y*z+y*w+z*w+x*u+y*u+z*u+w*u,x*y*z+x*y*w+x*z*w+y*z*w+ x*y*u+x*z*u+x*w*u+y*z*u+y*w*u+z*w*u,x*y*z*w+x*y*z*u+x*y*w*u+x*z*w*u+y*z*w*u,x*y*z*w*u)) )