If P(x)=x3−3x+1P(x) = x^3 - 3x + 1P(x)=x3−3x+1 has roots α,β,γ\alpha, \beta, \gammaα,β,γ, find α4+β4+γ4\alpha^4 + \beta^4 + \gamma^4α4+β4+γ4.
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