simulations (M1) using $N=2\times 10^6$, $\Nr=80$, $\Nth=24$, and $\Nph=48$: we found that the end-products of these two simulations do not differ significantly, as far as the properties relevant to the present work are concerned.

The intrinsic and projected properties of the collapse end-products are determined as in NLC06. In particular, the position of the center of the system is determined using the iterative technique described by Power et al. (2003). Following Nipoti et al. (2002), we measure the axis ratios $c/a$ and $b/a$ of the inertia ellipsoid (where $a$, $b$ and $c$ are the major, intermediate and minor axis) of the final density distributions, their angle-averaged profile and half-mass radius $\rhalf$. We fitted the final angle-averaged density profiles with the $\gamma$-model (Dehnen 1993; Tremaine et al. 1994) $$\label{eqgamma}
\rho (r)= {\rho_0  \rc^4 \over r^{\gamma} (\rc +r)^{4-\gamma}},$$ where the inner slope $\gamma$ and the break radius $\rc$ are free parameters, and the reference density $\rho_0$ is fixed by the total mass ${{M_*}}$. The fitting radial range is $0.06\,\lsim\,
r/\rhalf\,\lsim\, 10$. In order to estimate the importance of projection effects, for each end-product we consider three orthogonal projections along the principal axes of the inertia tensor, measuring the ellipticity $\epsilon=1-\sbe/\sae$, the circularized 