  This article is part of a project which aims to describe as explicitly as
possible the Arthur packets of classical real groups and to prove a
multiplicity one result for them. Let $G$ be a symplectic or special orthogonal
real group, and $\psi: W_{\mathbb R}\times \mathbf{SL}_2(\mathbb C)\rightarrow
{}^LG$ be an Arthur parameter for $G$. Let $A(\psi)$ the component group of the
centralizer of $\psi$ in $\hat G$. Attached to $\psi$ is a finite length
unitary representation $\pi^A(\psi)$ of $G\times A(\psi)$, which is
characterized by the endoscopic identities (ordinary and twisted) it satisfies.
  In [arXiv:1703.07226] we gave a description of the irreducible components of
$\pi^A(\psi)$ when the parameter $\psi$ is "very regular, with good parity". In
the present paper, we use translation of infinitesimal character to describe
$\pi^A(\psi)$ in the general good parity case from the representation
$\pi^A(\psi_+)$ attached to a very regular, with good parity, parameter
$\psi_+$ obtained from $\psi$ by a simple shift.
