2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/72978We present six examples of 3-dimensional mod p Galois representations of type A_6 for which we were able to obtain computational evidence for the generalization of Serre's Conjecture proposed by Ash, Doud, Pollack, and Sinnott. We also propose a further refinement of the conjecture corresponding to the "peu vs. tr`es ramifi'ee" distinction of Serre.21 pagesNumber Theory11F75; 11F80A_6-extensions of Q and the mod p cohomology of GL(3,Z)text