  Let Z be the real part of a K{\"a}hler Hamiltonian manifold M. The
O'Shea-Sjamaar's Theorem tells us that the moment polytope Delta(Z) corresponds
to the anti-invariant part of the Kirwan polytope Delta(M). The purpose of the
present paper is to explain how to parameterize the equations of the facets of
Delta(Z) in terms of real Ressayre's pairs of Z.
