For every N≥2N\ge 2N≥2 and every finitely supported probability measure μ\muμ on SLN(R)\mathrm{SL}_N(\mathbb{R})SLN(R) such that Γ=⟨suppμ⟩\Gamma=\langle\operatorname{supp}\mu\rangleΓ=⟨suppμ⟩ is discrete and Zar…