#Z*Z+C
#(x+yi)(x+yi)+Cos[z]
#x^2+2xyi-y^2

#x=x^2-y^2+Cos[z]
#y=2xy

a = "x"
b = "y"

recurse = 5

for r in range(recurse-1):
  ta=a
  a="("+a+")^2-"+"("+b+")^2+z"
  b="2*"+ta+"*"+b




 
eq = "("+a+")^2+("+b+")^2-4"

print eq
open("equation.txt","w").write(eq)