Consider P(x)=x3−3x+1P(x) = x^3 - 3x + 1P(x)=x3−3x+1. If α,β,γ\alpha, \beta, \gammaα,β,γ are its roots, find the value of α6+β6+γ6\alpha^6 + \beta^6 + \gamma^6α6+β6+γ6.
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