Three, if the two roots $\alpha, \beta$ of the equation $x^{2}-3 x+1=0$ are also roots of the equation $x^{8}-p x^{2}+q=0$, where $p, q$ are integers, find the values of $p, q$.

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Three, Hint: Using Vieta's formulas, we get $p=48$, $q=7$. $\quad$.