2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63334We study and compute an infinite family of Hurwitz spaces parameterizing covers of P_C branched at four points and deduce explicit regular S_n and A_n-extensions over Q(T) with totally real fibers.Number Theory14H30, 14G32Computation of some Moduli Spaces of covers and explicit S_n and A_n regular Q(T)-extensions with totally real fiberstext