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We calculate the ground states and ground state phase diagrams ofBose-Einstein condensates of spin-3 atoms under the assumption of conservedmagnetization. We especially concentrate on the ground states of a chromiumcondensate. In chromium the magnetic dipole-dipole interaction enablesmagnetization changing collisions, but in a strong magnetic field these aresuppressed. In the calculation of the phase diagrams we neglect thecontribution from the dipole-dipole interaction, but discuss its effects at theend of the paper. We show that the ground state of a chromium condensate doesnot seem to depend on whether or not the dipole-dipole interaction is takeninto attention.Comment: 8 pages, 4 figures; typos corrected, published versio

Ground states of spin-3 Bose-Einstein condensates for conserved magnetization