Polynomial form:
((y^2-x^2)/(2*z)+2*z^2/9+2/3)^3- 6*((y^2-x^2)/(4*z)-(1/4)*(x^2+y^2+(8/9)*z^2)+2/9)^2=0
x=u-(u*u*u/3)+u*v*v y=v-(v*v*v/3)+u*u*v z=u*u-v*v
Here is the PoV3-source I used
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