var('x,y,z,w,u,v')
o(a,b,c,d,e,k)=x^18+y^18+z^18+w^18+u^18+v^18
l(x,y,z,w,u,v)=0
for J in range(6):

    s(a,b,c,d,e)=0
    t(x,y,z,w,u)=l(x,y,z,w,u,0)
    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) 
        
    o(a,b,c,d,e,k)=o(a,b,c,d,e,k)+s(a,b,c,d,e)*k^J
    l(x,y,z,w,u,v)=expand((l(x,y,z,w,u,v)-s(x+y+z+w+u+v,x*y+x*z+x*w+y*z+y*w+z*w+x*u+y*u+z*u+w*u+x*v+y*v+z*v+w*v+u*v,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*v+x*z*v+x*w*v+y*z*v+y*w*v+z*w*v+x*u*v+y*u*v+z*u*v+w*u*v,x*y*z*w+x*y*z*u+x*y*w*u+x*z*w*u+y*z*w*u+x*y*z*v+x*y*w*v+x*z*w*v+y*z*w*v+ x*y*u*v+x*z*u*v+x*w*u*v+y*z*u*v+y*w*u*v+z*w*u*v,x*y*z*w*u+x*y*z*w*v+x*y*z*u*v+x*y*w*u*v+x*z*w*u*v+y*z*w*u*v))/x/y/z/w/u/v)
print (expand(o(x+y+z+w+u+v,x*y+x*z+x*w+y*z+y*w+z*w+x*u+y*u+z*u+w*u+x*v+y*v+z*v+w*v+u*v,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*v+x*z*v+x*w*v+y*z*v+y*w*v+z*w*v+x*u*v+y*u*v+z*u*v+w*u*v,x*y*z*w+x*y*z*u+x*y*w*u+x*z*w*u+y*z*w*u+x*y*z*v+x*y*w*v+x*z*w*v+y*z*w*v+ x*y*u*v+x*z*u*v+x*w*u*v+y*z*u*v+y*w*u*v+z*w*u*v,x*y*z*w*u+x*y*z*w*v+x*y*z*u*v+x*y*w*u*v+x*z*w*u*v+y*z*w*u*v,x*y*z*w*u*v)))