lst:=[[sec(b*x+a),x,1],
[sec(b*x+a)^2,x,1],
[sec(b*x+a)^3,x,1],
[sec(b*x+a)^4,x,1],
[sec(b*x+a)^5,x,1],
[sec(b*x+a)^6,x,1],
[sec(b*x+a)^7,x,1],
[sec(b*x+a)^8,x,1],
[sec(b*x+a)^(7/2),x,1],
[sec(b*x+a)^(5/2),x,1],
[sec(b*x+a)^(3/2),x,1],
[sec(b*x+a)^(1/2),x,1],
[1/sec(b*x+a)^(1/2),x,1],
[1/sec(b*x+a)^(3/2),x,1],
[1/sec(b*x+a)^(5/2),x,1],
[1/sec(b*x+a)^(7/2),x,1],
[(c*sec(b*x+a))^(7/2),x,1],
[(c*sec(b*x+a))^(5/2),x,1],
[(c*sec(b*x+a))^(3/2),x,1],
[(c*sec(b*x+a))^(1/2),x,1],
[1/(c*sec(b*x+a))^(1/2),x,1],
[1/(c*sec(b*x+a))^(3/2),x,1],
[1/(c*sec(b*x+a))^(5/2),x,1],
[1/(c*sec(b*x+a))^(7/2),x,1],
[sec(b*x+a)^(4/3),x,1],
[sec(b*x+a)^(2/3),x,1],
[sec(b*x+a)^(1/3),x,1],
[1/sec(b*x+a)^(1/3),x,1],
[1/sec(b*x+a)^(2/3),x,1],
[1/sec(b*x+a)^(4/3),x,1],
[(c*sec(b*x+a))^(4/3),x,1],
[(c*sec(b*x+a))^(2/3),x,1],
[(c*sec(b*x+a))^(1/3),x,1],
[1/(c*sec(b*x+a))^(1/3),x,1],
[1/(c*sec(b*x+a))^(2/3),x,1],
[1/(c*sec(b*x+a))^(4/3),x,1],
[sec(b*x+a)^n,x,1],
[(c*sec(b*x+a))^n,x,1],
[(sec(x)^2)^(7/2),x,1],
[(sec(x)^2)^(5/2),x,1],
[(sec(x)^2)^(3/2),x,1],
[(sec(x)^2)^(1/2),x,1],
[1/(sec(x)^2)^(1/2),x,1],
[1/(sec(x)^2)^(3/2),x,1],
[1/(sec(x)^2)^(5/2),x,1],
[1/(sec(x)^2)^(7/2),x,1],
[(a*sec(x)^2)^(7/2),x,1],
[(a*sec(x)^2)^(5/2),x,1],
[(a*sec(x)^2)^(3/2),x,1],
[(a*sec(x)^2)^(1/2),x,1],
[1/(a*sec(x)^2)^(1/2),x,1],
[1/(a*sec(x)^2)^(3/2),x,1],
[1/(a*sec(x)^2)^(5/2),x,1],
[1/(a*sec(x)^2)^(7/2),x,1],
[(a*sec(x)^3)^(5/2),x,1],
[(a*sec(x)^3)^(3/2),x,1],
[(a*sec(x)^3)^(1/2),x,1],
[1/(a*sec(x)^3)^(1/2),x,1],
[1/(a*sec(x)^3)^(3/2),x,1],
[1/(a*sec(x)^3)^(5/2),x,1],
[(a*sec(x)^4)^(7/2),x,1],
[(a*sec(x)^4)^(5/2),x,1],
[(a*sec(x)^4)^(3/2),x,1],
[(a*sec(x)^4)^(1/2),x,1],
[1/(a*sec(x)^4)^(1/2),x,1],
[1/(a*sec(x)^4)^(3/2),x,1],
[1/(a*sec(x)^4)^(5/2),x,1],
[((b*sec(d*x+c))^p)^n,x,1],
[(a*(b*sec(d*x+c))^p)^n,x,1],
[sec(d*x+c)^4*(b*sec(d*x+c))^(1/2),x,1],
[sec(d*x+c)^3*(b*sec(d*x+c))^(1/2),x,1],
[sec(d*x+c)^2*(b*sec(d*x+c))^(1/2),x,1],
[sec(d*x+c)*(b*sec(d*x+c))^(1/2),x,1],
[(b*sec(d*x+c))^(1/2),x,1],
[cos(d*x+c)*(b*sec(d*x+c))^(1/2),x,1],
[cos(d*x+c)^2*(b*sec(d*x+c))^(1/2),x,1],
[cos(d*x+c)^3*(b*sec(d*x+c))^(1/2),x,1],
[cos(d*x+c)^4*(b*sec(d*x+c))^(1/2),x,1],
[cos(d*x+c)^5*(b*sec(d*x+c))^(1/2),x,1],
[sec(d*x+c)^3*(b*sec(d*x+c))^(3/2),x,1],
[sec(d*x+c)^2*(b*sec(d*x+c))^(3/2),x,1],
[sec(d*x+c)*(b*sec(d*x+c))^(3/2),x,1],
[(b*sec(d*x+c))^(3/2),x,1],
[cos(d*x+c)*(b*sec(d*x+c))^(3/2),x,1],
[cos(d*x+c)^2*(b*sec(d*x+c))^(3/2),x,1],
[cos(d*x+c)^3*(b*sec(d*x+c))^(3/2),x,1],
[cos(d*x+c)^4*(b*sec(d*x+c))^(3/2),x,1],
[cos(d*x+c)^5*(b*sec(d*x+c))^(3/2),x,1],
[cos(d*x+c)^6*(b*sec(d*x+c))^(3/2),x,1],
[sec(d*x+c)^2*(b*sec(d*x+c))^(5/2),x,1],
[sec(d*x+c)*(b*sec(d*x+c))^(5/2),x,1],
[(b*sec(d*x+c))^(5/2),x,1],
[cos(d*x+c)*(b*sec(d*x+c))^(5/2),x,1],
[cos(d*x+c)^2*(b*sec(d*x+c))^(5/2),x,1],
[cos(d*x+c)^3*(b*sec(d*x+c))^(5/2),x,1],
[cos(d*x+c)^4*(b*sec(d*x+c))^(5/2),x,1],
[cos(d*x+c)^5*(b*sec(d*x+c))^(5/2),x,1],
[cos(d*x+c)^6*(b*sec(d*x+c))^(5/2),x,1],
[cos(d*x+c)^7*(b*sec(d*x+c))^(5/2),x,1],
[(b*sec(d*x+c))^(7/2),x,1],
[sec(d*x+c)^5/(b*sec(d*x+c))^(1/2),x,1],
[sec(d*x+c)^4/(b*sec(d*x+c))^(1/2),x,1],
[sec(d*x+c)^3/(b*sec(d*x+c))^(1/2),x,1],
[sec(d*x+c)^2/(b*sec(d*x+c))^(1/2),x,1],
[sec(d*x+c)/(b*sec(d*x+c))^(1/2),x,1],
[1/(b*sec(d*x+c))^(1/2),x,1],
[cos(d*x+c)/(b*sec(d*x+c))^(1/2),x,1],
[cos(d*x+c)^2/(b*sec(d*x+c))^(1/2),x,1],
[cos(d*x+c)^3/(b*sec(d*x+c))^(1/2),x,1],
[cos(d*x+c)^4/(b*sec(d*x+c))^(1/2),x,1],
[sec(d*x+c)^6/(b*sec(d*x+c))^(3/2),x,1],
[sec(d*x+c)^5/(b*sec(d*x+c))^(3/2),x,1],
[sec(d*x+c)^4/(b*sec(d*x+c))^(3/2),x,1],
[sec(d*x+c)^3/(b*sec(d*x+c))^(3/2),x,1],
[sec(d*x+c)^2/(b*sec(d*x+c))^(3/2),x,1],
[sec(d*x+c)/(b*sec(d*x+c))^(3/2),x,1],
[1/(b*sec(d*x+c))^(3/2),x,1],
[cos(d*x+c)/(b*sec(d*x+c))^(3/2),x,1],
[cos(d*x+c)^2/(b*sec(d*x+c))^(3/2),x,1],
[cos(d*x+c)^3/(b*sec(d*x+c))^(3/2),x,1],
[sec(d*x+c)^7/(b*sec(d*x+c))^(5/2),x,1],
[sec(d*x+c)^6/(b*sec(d*x+c))^(5/2),x,1],
[sec(d*x+c)^5/(b*sec(d*x+c))^(5/2),x,1],
[sec(d*x+c)^4/(b*sec(d*x+c))^(5/2),x,1],
[sec(d*x+c)^3/(b*sec(d*x+c))^(5/2),x,1],
[sec(d*x+c)^2/(b*sec(d*x+c))^(5/2),x,1],
[sec(d*x+c)/(b*sec(d*x+c))^(5/2),x,1],
[1/(b*sec(d*x+c))^(5/2),x,1],
[cos(d*x+c)/(b*sec(d*x+c))^(5/2),x,1],
[cos(d*x+c)^2/(b*sec(d*x+c))^(5/2),x,1],
[1/(b*sec(d*x+c))^(7/2),x,1],
[sec(d*x+c)^(9/2)*(b*sec(d*x+c))^(1/2),x,1],
[sec(d*x+c)^(7/2)*(b*sec(d*x+c))^(1/2),x,1],
[sec(d*x+c)^(5/2)*(b*sec(d*x+c))^(1/2),x,1],
[sec(d*x+c)^(3/2)*(b*sec(d*x+c))^(1/2),x,1],
[sec(d*x+c)^(1/2)*(b*sec(d*x+c))^(1/2),x,1],
[(b*sec(d*x+c))^(1/2)/sec(d*x+c)^(1/2),x,1],
[(b*sec(d*x+c))^(1/2)/sec(d*x+c)^(3/2),x,1],
[(b*sec(d*x+c))^(1/2)/sec(d*x+c)^(5/2),x,1],
[(b*sec(d*x+c))^(1/2)/sec(d*x+c)^(7/2),x,1],
[(b*sec(d*x+c))^(1/2)/sec(d*x+c)^(9/2),x,1],
[sec(d*x+c)^(7/2)*(b*sec(d*x+c))^(3/2),x,1],
[sec(d*x+c)^(5/2)*(b*sec(d*x+c))^(3/2),x,1],
[sec(d*x+c)^(3/2)*(b*sec(d*x+c))^(3/2),x,1],
[sec(d*x+c)^(1/2)*(b*sec(d*x+c))^(3/2),x,1],
[(b*sec(d*x+c))^(3/2)/sec(d*x+c)^(1/2),x,1],
[(b*sec(d*x+c))^(3/2)/sec(d*x+c)^(3/2),x,1],
[(b*sec(d*x+c))^(3/2)/sec(d*x+c)^(5/2),x,1],
[(b*sec(d*x+c))^(3/2)/sec(d*x+c)^(7/2),x,1],
[(b*sec(d*x+c))^(3/2)/sec(d*x+c)^(9/2),x,1],
[(b*sec(d*x+c))^(3/2)/sec(d*x+c)^(11/2),x,1],
[sec(d*x+c)^(7/2)*(b*sec(d*x+c))^(5/2),x,1],
[sec(d*x+c)^(3/2)*(b*sec(d*x+c))^(5/2),x,1],
[sec(d*x+c)^(1/2)*(b*sec(d*x+c))^(5/2),x,1],
[(b*sec(d*x+c))^(5/2)/sec(d*x+c)^(1/2),x,1],
[(b*sec(d*x+c))^(5/2)/sec(d*x+c)^(3/2),x,1],
[(b*sec(d*x+c))^(5/2)/sec(d*x+c)^(5/2),x,1],
[(b*sec(d*x+c))^(5/2)/sec(d*x+c)^(7/2),x,1],
[(b*sec(d*x+c))^(5/2)/sec(d*x+c)^(9/2),x,1],
[(b*sec(d*x+c))^(5/2)/sec(d*x+c)^(11/2),x,1],
[sec(d*x+c)^(7/2)/(b*sec(d*x+c))^(1/2),x,1],
[sec(d*x+c)^(5/2)/(b*sec(d*x+c))^(1/2),x,1],
[sec(d*x+c)^(3/2)/(b*sec(d*x+c))^(1/2),x,1],
[sec(d*x+c)^(1/2)/(b*sec(d*x+c))^(1/2),x,1],
[1/sec(d*x+c)^(1/2)/(b*sec(d*x+c))^(1/2),x,1],
[1/sec(d*x+c)^(3/2)/(b*sec(d*x+c))^(1/2),x,1],
[1/sec(d*x+c)^(5/2)/(b*sec(d*x+c))^(1/2),x,1],
[sec(d*x+c)^(9/2)/(b*sec(d*x+c))^(3/2),x,1],
[sec(d*x+c)^(7/2)/(b*sec(d*x+c))^(3/2),x,1],
[sec(d*x+c)^(5/2)/(b*sec(d*x+c))^(3/2),x,1],
[sec(d*x+c)^(3/2)/(b*sec(d*x+c))^(3/2),x,1],
[sec(d*x+c)^(1/2)/(b*sec(d*x+c))^(3/2),x,1],
[1/sec(d*x+c)^(1/2)/(b*sec(d*x+c))^(3/2),x,1],
[1/sec(d*x+c)^(3/2)/(b*sec(d*x+c))^(3/2),x,1],
[1/sec(d*x+c)^(5/2)/(b*sec(d*x+c))^(3/2),x,1],
[sec(d*x+c)^(11/2)/(b*sec(d*x+c))^(5/2),x,1],
[sec(d*x+c)^(9/2)/(b*sec(d*x+c))^(5/2),x,1],
[sec(d*x+c)^(7/2)/(b*sec(d*x+c))^(5/2),x,1],
[sec(d*x+c)^(5/2)/(b*sec(d*x+c))^(5/2),x,1],
[sec(d*x+c)^(3/2)/(b*sec(d*x+c))^(5/2),x,1],
[sec(d*x+c)^(1/2)/(b*sec(d*x+c))^(5/2),x,1],
[1/sec(d*x+c)^(1/2)/(b*sec(d*x+c))^(5/2),x,1],
[1/sec(d*x+c)^(3/2)/(b*sec(d*x+c))^(5/2),x,1],
[sec(d*x+c)^2*(b*sec(d*x+c))^(1/3),x,1],
[sec(d*x+c)*(b*sec(d*x+c))^(1/3),x,1],
[(b*sec(d*x+c))^(1/3),x,1],
[cos(d*x+c)*(b*sec(d*x+c))^(1/3),x,1],
[cos(d*x+c)^2*(b*sec(d*x+c))^(1/3),x,1],
[sec(d*x+c)^2*(b*sec(d*x+c))^(4/3),x,1],
[sec(d*x+c)*(b*sec(d*x+c))^(4/3),x,1],
[(b*sec(d*x+c))^(4/3),x,1],
[cos(d*x+c)*(b*sec(d*x+c))^(4/3),x,1],
[cos(d*x+c)^2*(b*sec(d*x+c))^(4/3),x,1],
[sec(d*x+c)^2/(b*sec(d*x+c))^(1/3),x,1],
[sec(d*x+c)/(b*sec(d*x+c))^(1/3),x,1],
[1/(b*sec(d*x+c))^(1/3),x,1],
[cos(d*x+c)/(b*sec(d*x+c))^(1/3),x,1],
[cos(d*x+c)^2/(b*sec(d*x+c))^(1/3),x,1],
[sec(d*x+c)^2/(b*sec(d*x+c))^(4/3),x,1],
[sec(d*x+c)/(b*sec(d*x+c))^(4/3),x,1],
[1/(b*sec(d*x+c))^(4/3),x,1],
[cos(d*x+c)/(b*sec(d*x+c))^(4/3),x,1],
[cos(d*x+c)^2/(b*sec(d*x+c))^(4/3),x,1],
[sec(d*x+c)^m*(b*sec(d*x+c))^(4/3),x,1],
[sec(d*x+c)^m*(b*sec(d*x+c))^(2/3),x,1],
[sec(d*x+c)^m*(b*sec(d*x+c))^(1/3),x,1],
[sec(d*x+c)^m/(b*sec(d*x+c))^(1/3),x,1],
[sec(d*x+c)^m/(b*sec(d*x+c))^(2/3),x,1],
[sec(d*x+c)^m/(b*sec(d*x+c))^(4/3),x,1],
[sec(d*x+c)^m*(b*sec(d*x+c))^n,x,1],
[sec(d*x+c)^2*(b*sec(d*x+c))^n,x,1],
[sec(d*x+c)*(b*sec(d*x+c))^n,x,1],
[(b*sec(d*x+c))^n,x,1],
[cos(d*x+c)*(b*sec(d*x+c))^n,x,1],
[cos(d*x+c)^2*(b*sec(d*x+c))^n,x,1],
[cos(d*x+c)^3*(b*sec(d*x+c))^n,x,1],
[sec(d*x+c)^(5/2)*(b*sec(d*x+c))^n,x,1],
[sec(d*x+c)^(3/2)*(b*sec(d*x+c))^n,x,1],
[sec(d*x+c)^(1/2)*(b*sec(d*x+c))^n,x,1],
[(b*sec(d*x+c))^n/sec(d*x+c)^(1/2),x,1],
[(b*sec(d*x+c))^n/sec(d*x+c)^(3/2),x,1],
[(b*sec(d*x+c))^n/sec(d*x+c)^(5/2),x,1],
[(d*sec(b*x+a))^(7/2)*sin(b*x+a),x,1],
[(d*sec(b*x+a))^(5/2)*sin(b*x+a),x,1],
[(d*sec(b*x+a))^(3/2)*sin(b*x+a),x,1],
[(d*sec(b*x+a))^(1/2)*sin(b*x+a),x,1],
[sin(b*x+a)/(d*sec(b*x+a))^(1/2),x,1],
[(d*sec(b*x+a))^(5/2)*sin(b*x+a)^3,x,1],
[(d*sec(b*x+a))^(9/2)*sin(b*x+a)^3,x,1],
[(d*csc(b*x+a))^(9/2)*(c*sec(b*x+a))^(1/2),x,1],
[(d*csc(b*x+a))^(7/2)*(c*sec(b*x+a))^(1/2),x,1],
[(d*csc(b*x+a))^(5/2)*(c*sec(b*x+a))^(1/2),x,1],
[(d*csc(b*x+a))^(3/2)*(c*sec(b*x+a))^(1/2),x,1],
[(d*csc(b*x+a))^(1/2)*(c*sec(b*x+a))^(1/2),x,1],
[(c*sec(b*x+a))^(1/2)/(d*csc(b*x+a))^(1/2),x,1],
[(c*sec(b*x+a))^(1/2)/(d*csc(b*x+a))^(3/2),x,1],
[(c*sec(b*x+a))^(1/2)/(d*csc(b*x+a))^(5/2),x,1],
[(d*csc(b*x+a))^(9/2)*(c*sec(b*x+a))^(3/2),x,1],
[(d*csc(b*x+a))^(7/2)*(c*sec(b*x+a))^(3/2),x,1],
[(d*csc(b*x+a))^(5/2)*(c*sec(b*x+a))^(3/2),x,1],
[(d*csc(b*x+a))^(3/2)*(c*sec(b*x+a))^(3/2),x,1],
[(d*csc(b*x+a))^(1/2)*(c*sec(b*x+a))^(3/2),x,1],
[(c*sec(b*x+a))^(3/2)/(d*csc(b*x+a))^(1/2),x,1],
[(c*sec(b*x+a))^(3/2)/(d*csc(b*x+a))^(3/2),x,1],
[(c*sec(b*x+a))^(3/2)/(d*csc(b*x+a))^(5/2),x,1],
[(d*csc(b*x+a))^(9/2)*(c*sec(b*x+a))^(5/2),x,1],
[(d*csc(b*x+a))^(7/2)*(c*sec(b*x+a))^(5/2),x,1],
[(d*csc(b*x+a))^(5/2)*(c*sec(b*x+a))^(5/2),x,1],
[(d*csc(b*x+a))^(3/2)*(c*sec(b*x+a))^(5/2),x,1],
[(d*csc(b*x+a))^(1/2)*(c*sec(b*x+a))^(5/2),x,1],
[(c*sec(b*x+a))^(5/2)/(d*csc(b*x+a))^(1/2),x,1],
[(c*sec(b*x+a))^(5/2)/(d*csc(b*x+a))^(3/2),x,1],
[(c*sec(b*x+a))^(5/2)/(d*csc(b*x+a))^(5/2),x,1],
[(d*csc(b*x+a))^(9/2)/(c*sec(b*x+a))^(1/2),x,1],
[(d*csc(b*x+a))^(7/2)/(c*sec(b*x+a))^(1/2),x,1],
[(d*csc(b*x+a))^(5/2)/(c*sec(b*x+a))^(1/2),x,1],
[(d*csc(b*x+a))^(3/2)/(c*sec(b*x+a))^(1/2),x,1],
[(d*csc(b*x+a))^(1/2)/(c*sec(b*x+a))^(1/2),x,1],
[1/(d*csc(b*x+a))^(1/2)/(c*sec(b*x+a))^(1/2),x,1],
[1/(d*csc(b*x+a))^(3/2)/(c*sec(b*x+a))^(1/2),x,1],
[1/(d*csc(b*x+a))^(5/2)/(c*sec(b*x+a))^(1/2),x,1],
[(d*csc(b*x+a))^(11/2)/(c*sec(b*x+a))^(3/2),x,1],
[(d*csc(b*x+a))^(9/2)/(c*sec(b*x+a))^(3/2),x,1],
[(d*csc(b*x+a))^(7/2)/(c*sec(b*x+a))^(3/2),x,1],
[(d*csc(b*x+a))^(5/2)/(c*sec(b*x+a))^(3/2),x,1],
[(d*csc(b*x+a))^(3/2)/(c*sec(b*x+a))^(3/2),x,1],
[(d*csc(b*x+a))^(1/2)/(c*sec(b*x+a))^(3/2),x,1],
[1/(d*csc(b*x+a))^(1/2)/(c*sec(b*x+a))^(3/2),x,1],
[1/(d*csc(b*x+a))^(3/2)/(c*sec(b*x+a))^(3/2),x,1],
[1/(d*csc(b*x+a))^(5/2)/(c*sec(b*x+a))^(3/2),x,1],
[(d*csc(b*x+a))^(9/2)/(c*sec(b*x+a))^(5/2),x,1],
[(d*csc(b*x+a))^(7/2)/(c*sec(b*x+a))^(5/2),x,1],
[(d*csc(b*x+a))^(5/2)/(c*sec(b*x+a))^(5/2),x,1],
[(d*csc(b*x+a))^(3/2)/(c*sec(b*x+a))^(5/2),x,1],
[(d*csc(b*x+a))^(1/2)/(c*sec(b*x+a))^(5/2),x,1],
[1/(d*csc(b*x+a))^(1/2)/(c*sec(b*x+a))^(5/2),x,1],
[1/(d*csc(b*x+a))^(3/2)/(c*sec(b*x+a))^(5/2),x,1],
[1/(d*csc(b*x+a))^(5/2)/(c*sec(b*x+a))^(5/2),x,1],
[1/(d*csc(b*x+a))^(7/2)/(c*sec(b*x+a))^(5/2),x,1],
[csc(f*x+e)^n*sec(f*x+e)^m,x,1],
[csc(f*x+e)^n*(a*sec(f*x+e))^m,x,1],
[(b*csc(f*x+e))^n*sec(f*x+e)^m,x,1],
[(b*csc(f*x+e))^n*(a*sec(f*x+e))^m,x,1],
[(b*csc(f*x+e))^n*sec(f*x+e)^5,x,1],
[(b*csc(f*x+e))^n*sec(f*x+e)^3,x,1],
[(b*csc(f*x+e))^n*sec(f*x+e),x,1],
[cos(f*x+e)*(b*csc(f*x+e))^n,x,1],
[cos(f*x+e)^3*(b*csc(f*x+e))^n,x,1],
[cos(f*x+e)^5*(b*csc(f*x+e))^n,x,1],
[(b*csc(f*x+e))^n*sec(f*x+e)^6,x,1],
[(b*csc(f*x+e))^n*sec(f*x+e)^4,x,1],
[(b*csc(f*x+e))^n*sec(f*x+e)^2,x,1],
[(b*csc(f*x+e))^n,x,1],
[cos(f*x+e)^2*(b*csc(f*x+e))^n,x,1],
[cos(f*x+e)^4*(b*csc(f*x+e))^n,x,1],
[(b*csc(f*x+e))^n*(c*sec(f*x+e))^(3/2),x,1],
[(b*csc(f*x+e))^n*(c*sec(f*x+e))^(1/2),x,1],
[(b*csc(f*x+e))^n/(c*sec(f*x+e))^(1/2),x,1],
[(b*csc(f*x+e))^n/(c*sec(f*x+e))^(3/2),x,1]]