>>710
α + β + γ = 2
αβ + βγ + γα = 3
αβγ = 4

α^2 +β^2 + γ^2 = (α+β+γ)^2 - 2(αβ+βγ+γα) = -2
(αβ)^2+(βγ)^2+(γα)^2 = (αβ + βγ + γα)^2 - 2αβγ(α+β+γ) = -7
α^4 +β^4 + γ^4 = (α^2+β^2+γ^2)^2 - 2((αβ)^2+(βγ)^2+(γα)^2) = 18