lst:=[[x^7*(x^2+(x^4+1)^(1/2))^(1/2),x,1],
[x^5*(x^2+(x^4+1)^(1/2))^(1/2),x,1],
[x^3*(x^2+(x^4+1)^(1/2))^(1/2),x,1],
[x*(x^2+(x^4+1)^(1/2))^(1/2),x,1],
[(x^2+(x^4+1)^(1/2))^(1/2)/x,x,1],
[(x^2+(x^4+1)^(1/2))^(1/2)/x^3,x,1],
[(x^2+(x^4+1)^(1/2))^(1/2)/x^5,x,1],
[x^2*(x^2+(x^4+1)^(1/2))^(1/2),x,1],
[(x^2+(x^4+1)^(1/2))^(1/2),x,1],
[(x^2+(x^4+1)^(1/2))^(1/2)/x^2,x,1],
[(x^2+(x^4+1)^(1/2))^(1/2)/x^4,x,1],
[(x^2+(x^4+1)^(1/2))^(1/2)/x^6,x,1],
[(x^2+(x^4+1)^(1/2))^(1/2)/x^8,x,1],
[(x^2+(x^4+1)^(1/2))^(1/2)/x^10,x,1],
[(x^2+(x^4+1)^(1/2))^(9/2),x,1],
[(x^2+(x^4+1)^(1/2))^(7/2),x,1],
[(x^2+(x^4+1)^(1/2))^(3/2),x,1],
[x^7/(x^2+(x^4+1)^(1/2))^(1/2),x,1],
[x^5/(x^2+(x^4+1)^(1/2))^(1/2),x,1],
[x^3/(x^2+(x^4+1)^(1/2))^(1/2),x,1],
[x/(x^2+(x^4+1)^(1/2))^(1/2),x,1],
[1/x/(x^2+(x^4+1)^(1/2))^(1/2),x,1],
[1/x^3/(x^2+(x^4+1)^(1/2))^(1/2),x,1],
[1/x^5/(x^2+(x^4+1)^(1/2))^(1/2),x,1],
[x^6/(x^2+(x^4+1)^(1/2))^(1/2),x,1],
[x^4/(x^2+(x^4+1)^(1/2))^(1/2),x,1],
[x^2/(x^2+(x^4+1)^(1/2))^(1/2),x,1],
[1/(x^2+(x^4+1)^(1/2))^(1/2),x,1],
[1/x^2/(x^2+(x^4+1)^(1/2))^(1/2),x,1],
[1/x^4/(x^2+(x^4+1)^(1/2))^(1/2),x,1],
[1/x^6/(x^2+(x^4+1)^(1/2))^(1/2),x,1],
[1/x^8/(x^2+(x^4+1)^(1/2))^(1/2),x,1],
[1/x^10/(x^2+(x^4+1)^(1/2))^(1/2),x,1],
[1/x^12/(x^2+(x^4+1)^(1/2))^(1/2),x,1],
[1/(x^2+(x^4+1)^(1/2))^(3/2),x,1],
[1/(x^2+(x^4+1)^(1/2))^(5/2),x,1],
[x^7*(c*x^2+d*(a+c^2*x^4/d^2)^(1/2))^p,x,1],
[x^5*(c*x^2+d*(a+c^2*x^4/d^2)^(1/2))^p,x,1],
[x^3*(c*x^2+d*(a+c^2*x^4/d^2)^(1/2))^p,x,1],
[x*(c*x^2+d*(a+c^2*x^4/d^2)^(1/2))^p,x,1],
[(c*x^2+d*(a+c^2*x^4/d^2)^(1/2))^p/x,x,1],
[(c*x^2+d*(a+c^2*x^4/d^2)^(1/2))^p/x^3,x,1],
[(c*x^2+d*(a+c^2*x^4/d^2)^(1/2))^p/x^5,x,1],
[x^4*(c*x^2+d*(a+c^2*x^4/d^2)^(1/2))^p,x,1],
[x^2*(c*x^2+d*(a+c^2*x^4/d^2)^(1/2))^p,x,1],
[(c*x^2+d*(a+c^2*x^4/d^2)^(1/2))^p,x,1],
[(c*x^2+d*(a+c^2*x^4/d^2)^(1/2))^p/x^2,x,1],
[(c*x^2+d*(a+c^2*x^4/d^2)^(1/2))^p/x^4,x,1],
[x^7*(x^2+(x^4+1)^(1/2))^(1/2)/(x^4+1)^(1/2),x,1],
[x^5*(x^2+(x^4+1)^(1/2))^(1/2)/(x^4+1)^(1/2),x,1],
[x^3*(x^2+(x^4+1)^(1/2))^(1/2)/(x^4+1)^(1/2),x,1],
[x*(x^2+(x^4+1)^(1/2))^(1/2)/(x^4+1)^(1/2),x,1],
[(x^2+(x^4+1)^(1/2))^(1/2)/x/(x^4+1)^(1/2),x,1],
[(x^2+(x^4+1)^(1/2))^(1/2)/x^3/(x^4+1)^(1/2),x,1],
[(x^2+(x^4+1)^(1/2))^(1/2)/x^5/(x^4+1)^(1/2),x,1],
[x^4*(x^2+(x^4+1)^(1/2))^(1/2)/(x^4+1)^(1/2),x,1],
[x^2*(x^2+(x^4+1)^(1/2))^(1/2)/(x^4+1)^(1/2),x,1],
[(x^2+(x^4+1)^(1/2))^(1/2)/(x^4+1)^(1/2),x,1],
[(x^2+(x^4+1)^(1/2))^(1/2)/x^2/(x^4+1)^(1/2),x,1],
[(x^2+(x^4+1)^(1/2))^(1/2)/x^4/(x^4+1)^(1/2),x,1],
[(x^2+(x^4+1)^(1/2))^(1/2)/x^6/(x^4+1)^(1/2),x,1],
[(x^2+(x^4+1)^(1/2))^(1/2)/x^8/(x^4+1)^(1/2),x,1],
[(x^2+(x^4+1)^(1/2))^(1/2)/x^10/(x^4+1)^(1/2),x,1],
[x^4*(x^2+(x^4+1)^(1/2))^(3/2)/(x^4+1)^(1/2),x,1],
[x^2*(x^2+(x^4+1)^(1/2))^(3/2)/(x^4+1)^(1/2),x,1],
[(x^2+(x^4+1)^(1/2))^(3/2)/(x^4+1)^(1/2),x,1],
[(x^2+(x^4+1)^(1/2))^(3/2)/x^2/(x^4+1)^(1/2),x,1],
[(x^2+(x^4+1)^(1/2))^(3/2)/x^4/(x^4+1)^(1/2),x,1],
[(x^2+(x^4+1)^(1/2))^(3/2)/x^6/(x^4+1)^(1/2),x,1],
[(x^2+(x^4+1)^(1/2))^(3/2)/x^8/(x^4+1)^(1/2),x,1],
[(x^2+(x^4+1)^(1/2))^(3/2)/x^10/(x^4+1)^(1/2),x,1],
[(x^2+(x^4+1)^(1/2))^(3/2)/x^12/(x^4+1)^(1/2),x,1],
[x^7/(x^4+1)^(1/2)/(x^2+(x^4+1)^(1/2))^(1/2),x,1],
[x^5/(x^4+1)^(1/2)/(x^2+(x^4+1)^(1/2))^(1/2),x,1],
[x^3/(x^4+1)^(1/2)/(x^2+(x^4+1)^(1/2))^(1/2),x,1],
[x/(x^4+1)^(1/2)/(x^2+(x^4+1)^(1/2))^(1/2),x,1],
[1/x/(x^4+1)^(1/2)/(x^2+(x^4+1)^(1/2))^(1/2),x,1],
[1/x^3/(x^4+1)^(1/2)/(x^2+(x^4+1)^(1/2))^(1/2),x,1],
[1/x^5/(x^4+1)^(1/2)/(x^2+(x^4+1)^(1/2))^(1/2),x,1],
[x^6/(x^4+1)^(1/2)/(x^2+(x^4+1)^(1/2))^(1/2),x,1],
[x^4/(x^4+1)^(1/2)/(x^2+(x^4+1)^(1/2))^(1/2),x,1],
[x^2/(x^4+1)^(1/2)/(x^2+(x^4+1)^(1/2))^(1/2),x,1],
[1/(x^4+1)^(1/2)/(x^2+(x^4+1)^(1/2))^(1/2),x,1],
[1/x^2/(x^4+1)^(1/2)/(x^2+(x^4+1)^(1/2))^(1/2),x,1],
[1/x^4/(x^4+1)^(1/2)/(x^2+(x^4+1)^(1/2))^(1/2),x,1],
[1/x^6/(x^4+1)^(1/2)/(x^2+(x^4+1)^(1/2))^(1/2),x,1],
[1/x^8/(x^4+1)^(1/2)/(x^2+(x^4+1)^(1/2))^(1/2),x,1],
[1/x^10/(x^4+1)^(1/2)/(x^2+(x^4+1)^(1/2))^(1/2),x,1],
[(1+x)^2*(x^2+(x^4+1)^(1/2))^(1/2)/(x^4+1)^(1/2),x,1],
[(1+x)*(x^2+(x^4+1)^(1/2))^(1/2)/(x^4+1)^(1/2),x,1],
[(x^2+(x^4+1)^(1/2))^(1/2)/(x^4+1)^(1/2),x,1],
[(x^2+(x^4+1)^(1/2))^(1/2)/(1+x)/(x^4+1)^(1/2),x,1],
[(1+x)^2*(-x^2+(x^4+1)^(1/2))^(1/2)/(x^4+1)^(1/2),x,1],
[(1+x)*(-x^2+(x^4+1)^(1/2))^(1/2)/(x^4+1)^(1/2),x,1],
[(-x^2+(x^4+1)^(1/2))^(1/2)/(x^4+1)^(1/2),x,1],
[(-x^2+(x^4+1)^(1/2))^(1/2)/(1+x)/(x^4+1)^(1/2),x,1],
[(x^2+(x^4+1)^(1/2))^(1/2)/(x^2+1)/(x^4+1)^(1/2),x,1],
[(x^2+(x^4+1)^(1/2))^(1/2)/(-x^2+1)/(x^4+1)^(1/2),x,1]]