We study thermodynamic properties of a gas of spin 3 52Cr atoms across Bose
Einstein condensation. Magnetization is free, due to dipole-dipole interactions
(DDIs). We show that the critical temperature for condensation is lowered at
extremely low magnetic fields, when the spin degree of freedom is thermally
activated. The depolarized gas condenses in only one spin component, unless the
magnetic field is set below a critical value, below which a non ferromagnetic
phase is favored. Finally we present a spin thermometry efficient even below
the degeneracy temperature.Comment: 4 pages, 4 figure