  If H and D are two orders in a central simple algebra A with D of maximal
rank, the representation field F(D|H) is a subfield of the spinor class field
of the genus of D which determines the set of spinor genera of orders in that
genus representing the order H. Previous work have focused on two cases,
maximal orders D and commutative orders H. In this work, we show how to compute
the representation field F(D|H) when D is the intersection of a finite family
of maximal orders, e.g., an Eichler order, and H is arbitrary. Examples are
provided.
