Let $$\(P(x)=2 x^{10}+3 x^{9}+4 x+9\)$$. If $$\(z\)$$ is a non-real solution of $$\(z^{3}=1\)$$, what is the numerical value of $$\(P\left(\frac{1}{z}\right)+P\left(\frac{1}{z^{2}}\right)+P\left(\frac{1}{z^{3}}\right)\)$$ ?

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