2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74371We prove that a ``bouillabaisse'' surface (translation surface which has two transverse parabolic elements) has totally real trace field. As a corollary, non trivial Veech groups which have no parabolic elements do exist. The proof follows Veech's viewpoint on Thurston's construction of pseudo-Anosov diffeomorphisms.7 pages, Corrected typos, to appear in Duke Mathematical JournalGeometric TopologyDynamical Systems32G15, 30F30, 30F60, 58F18text