Thinking a little bit further, you can consider that you have a complex
restriction. In this case, your question has many answers. One solution is
x^3 - 3*x*y^2 - sqrt(3)*z^2*sqrt((-3*x^2*y + y^3 + z^3)/z) +
((-3*x^2*y + y^3 + z^3)/z)^(3/2)/(3*sqrt(3)) = 1
Alberto.
