Jordan–Kronecker invariants of semidirect sums of the form $\mathrm{sl}(n)+(\mathbb R^{n})^k$ and $\mathrm{gl}(n)+(\mathbb R^{n})^k$

We calculate Jordan–Kronecker invariants for semidirect sums of Lie algebras $\mathrm{sl}(n)$ and $\mathrm{gl}(n)$ with $k$ copies of $\mathbb R^n$ with respect to their standard representation for cases where $k>n$ or $n$ is a multiple of $k$.