lst:=[[sqrt(d*cos(f*x+e))*sqrt(g*sin(f*x+e))/(a+b*cos(f*x+e)),x,15,-sqrt(d)*sqrt(g)*arctan(1-sqrt(2)*sqrt(d)*sqrt(g*sin(f*x+e))/sqrt(g)/sqrt(d*cos(f*x+e)))/sqrt(2)/b/f+sqrt(d)*sqrt(g)*arctan(1+sqrt(2)*sqrt(d)*sqrt(g*sin(f*x+e))/sqrt(g)/sqrt(d*cos(f*x+e)))/sqrt(2)/b/f-sqrt(d)*sqrt(g)*arctanh(sqrt(2)*sqrt(d)*sqrt(g*sin(f*x+e))/sqrt(d*cos(f*x+e))/(sqrt(g)+sqrt(g)*tan(f*x+e)))/sqrt(2)/b/f+2*sqrt(2)*a*d*sqrt(g)*sqrt(cos(f*x+e))*EllipticPi(sin(arcsin(sqrt(g*sin(f*x+e))/sqrt(g)/sqrt(1+cos(f*x+e)))),-sqrt(-a+b)/sqrt(a+b),sqrt(-1))/b/sqrt(-a+b)/sqrt(a+b)/f/sqrt(d*cos(f*x+e))-2*sqrt(2)*a*d*sqrt(g)*sqrt(cos(f*x+e))*EllipticPi(sin(arcsin(sqrt(g*sin(f*x+e))/sqrt(g)/sqrt(1+cos(f*x+e)))),sqrt(-a+b)/sqrt(a+b),sqrt(-1))/b/sqrt(-a+b)/sqrt(a+b)/f/sqrt(d*cos(f*x+e)),1],
[sqrt(d*cos(f*x+e))/(a+b*cos(f*x+e))/sqrt(g*sin(f*x+e)),x,4,2*sqrt(2)*sqrt(d)*EllipticPi(sin(arcsin(sqrt(d*cos(f*x+e))/sqrt(d)/sqrt(1+sin(f*x+e)))),-a/(b-sqrt(-a^2+b^2)),sqrt(-1))*sqrt(sin(f*x+e))/sqrt(-a^2+b^2)/f/sqrt(g*sin(f*x+e))-2*sqrt(2)*sqrt(d)*EllipticPi(sin(arcsin(sqrt(d*cos(f*x+e))/sqrt(d)/sqrt(1+sin(f*x+e)))),-a/(b+sqrt(-a^2+b^2)),sqrt(-1))*sqrt(sin(f*x+e))/sqrt(-a^2+b^2)/f/sqrt(g*sin(f*x+e)),1],
[sqrt(g*sin(f*x+e))/sqrt(d*cos(f*x+e))/(a+b*cos(f*x+e)),x,5,-2*sqrt(2)*sqrt(g)*sqrt(cos(f*x+e))*EllipticPi(sin(arcsin(sqrt(g*sin(f*x+e))/sqrt(g)/sqrt(1+cos(f*x+e)))),-sqrt(-a+b)/sqrt(a+b),sqrt(-1))/sqrt(-a+b)/sqrt(a+b)/f/sqrt(d*cos(f*x+e))+2*sqrt(2)*sqrt(g)*sqrt(cos(f*x+e))*EllipticPi(sin(arcsin(sqrt(g*sin(f*x+e))/sqrt(g)/sqrt(1+cos(f*x+e)))),sqrt(-a+b)/sqrt(a+b),sqrt(-1))/sqrt(-a+b)/sqrt(a+b)/f/sqrt(d*cos(f*x+e)),1],
[1/sqrt(d*cos(f*x+e))/(a+b*cos(f*x+e))/sqrt(g*sin(f*x+e)),x,7,-2*sqrt(2)*b*EllipticPi(sin(arcsin(sqrt(d*cos(f*x+e))/sqrt(d)/sqrt(1+sin(f*x+e)))),-a/(b-sqrt(-a^2+b^2)),sqrt(-1))*sqrt(sin(f*x+e))/a/sqrt(-a^2+b^2)/sqrt(d)/f/sqrt(g*sin(f*x+e))+2*sqrt(2)*b*EllipticPi(sin(arcsin(sqrt(d*cos(f*x+e))/sqrt(d)/sqrt(1+sin(f*x+e)))),-a/(b+sqrt(-a^2+b^2)),sqrt(-1))*sqrt(sin(f*x+e))/a/sqrt(-a^2+b^2)/sqrt(d)/f/sqrt(g*sin(f*x+e))+InverseJacobiAM(e-1/4*Pi+f*x,sqrt(2))*sqrt(sin(2*f*x+2*e))/a/f/sqrt(d*cos(f*x+e))/sqrt(g*sin(f*x+e)),1]]: