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$\begin{cases} {f(1) = 1} \\ {f(2) = 8 } \\ {f(3) = 27} \\ { f(4) = 64} \\ {f(5) =127} \end{cases}$

If $f(x)$ is polynomial having degree 4 that satisfy the system of equations above, what is the value of $f(6)$?

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