  Equip the symmetric group $\mathfrak{S}_n$ with the Ewens distribution. We
study the eigenvalue point process of the permutation representation of
$\mathfrak{S}_n$ on $k$-tuples of distinct integers chosen from the set
$\{1,2,...,n\}$. Taking $n \to \infty$, we find the limiting point process in
the microscopic regime, i.e. when the eigenvalue point process is viewed at the
scale of the mean eigenvalue spacing. A formula for the limiting eigenvalue gap
probability in an interval is also given. In certain cases, a power series
representation exists and a combinatorial procedure is given for computing the
coefficients.
