2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/122054In this paper we show an explicit polynomial in Q[x] that has Galois group SL2(F16), filling in a gap in the tables of Juergen Klueners and Gunther Malle. The computation of this polynomial uses modular forms and their Galois representations.7 pagesNumber Theory11Y40 (Primary) 11F80 12F12 (Secondary)text