  We present the first calculations of a symmetry conserving configuration
mixing method (SCCM) using time-reversal symmetry breaking
Hartree-Fock-Bogoliubov (HFB) states with the Gogny D1S interaction. The method
includes particle number and tridimensional angular momentum symmetry
restorations as well as configuration mixing within the generator coordinate
method (GCM) framework. The nucleus $^{32}$Mg is chosen to show the performance
and reliability of the calculations. Additionally, $0^{+}_{1}$, $2^{+}_{1}$ and
$4^{+}_{1}$ states are computed for the magnesium isotopic chain, where a
noticeable compression of the spectrum is obtained by including cranked states,
leading to a very good agreement with the known experimental data.
