Invcasscylindrical:

x = a*2^(l/2)/2*((exp(2*u)+2*exp(u)*cos(v)+l)^(l/2) +

exp(u)*cos(v)+1)^(l/2)/(exp(2*u)+2*exp(u)*cos(v)+1)^(l/2)

у = a*2^(l/2)/2*((exp(2*u)+2*exp(u)*cos(v)+1)^(l/2) -

exp(u)*cos(v)-1)^(l/2)/(exp(2*u)+2*exp(u)*cos(v)-1)^(l/2)

z = w