lst:=[[x^5*arccot(a*x),x,1],
[x^4*arccot(a*x),x,1],
[x^3*arccot(a*x),x,1],
[x^2*arccot(a*x),x,1],
[x*arccot(a*x),x,1],
[arccot(a*x),x,1],
[arccot(a*x)/x,x,1],
[arccot(a*x)/x^2,x,1],
[arccot(a*x)/x^3,x,1],
[arccot(a*x)/x^4,x,1],
[arccot(a*x)/x^5,x,1],
[x^5*arccot(a*x)^2,x,1],
[x^4*arccot(a*x)^2,x,1],
[x^3*arccot(a*x)^2,x,1],
[x^2*arccot(a*x)^2,x,1],
[x*arccot(a*x)^2,x,1],
[arccot(a*x)^2,x,1],
[arccot(a*x)^2/x,x,1],
[arccot(a*x)^2/x^2,x,1],
[arccot(a*x)^2/x^3,x,1],
[arccot(a*x)^2/x^4,x,1],
[arccot(a*x)^2/x^5,x,1],
[x^5*arccot(a*x)^3,x,1],
[x^4*arccot(a*x)^3,x,1],
[x^3*arccot(a*x)^3,x,1],
[x^2*arccot(a*x)^3,x,1],
[x*arccot(a*x)^3,x,1],
[arccot(a*x)^3,x,1],
[arccot(a*x)^3/x,x,1],
[arccot(a*x)^3/x^2,x,1],
[arccot(a*x)^3/x^3,x,1],
[arccot(a*x)^3/x^4,x,1],
[arccot(a*x)^3/x^5,x,1],
[x^m*arccot(a*x)^3,x,0],
[x^m*arccot(a*x)^2,x,0],
[x^m*arccot(a*x),x,1],
[x^5*arccot(a*x^2),x,1],
[x^3*arccot(a*x^2),x,1],
[x*arccot(a*x^2),x,1],
[arccot(a*x^2)/x,x,1],
[arccot(a*x^2)/x^3,x,1],
[arccot(a*x^2)/x^5,x,1],
[x^4*arccot(a*x^2),x,1],
[x^2*arccot(a*x^2),x,1],
[arccot(a*x^2),x,1],
[arccot(a*x^2)/x^2,x,1],
[arccot(a*x^2)/x^4,x,1],
[arccot(a*x^5)/x,x,1],
[arccot(1/x),x,1],
[x^2*arccot(x^(1/2)),x,1],
[x*arccot(x^(1/2)),x,1],
[arccot(x^(1/2)),x,1],
[arccot(x^(1/2))/x,x,1],
[arccot(x^(1/2))/x^2,x,1],
[arccot(x^(1/2))/x^3,x,1],
[x^(3/2)*arccot(x^(1/2)),x,1],
[x^(1/2)*arccot(x^(1/2)),x,1],
[arccot(x^(1/2))/x^(1/2),x,1],
[arccot(x^(1/2))/x^(3/2),x,1],
[arccot(x^(1/2))/x^(5/2),x,1],
[arccot(a*x^n)/x,x,1]]