  We study the zero-temperature ground state structure of a spin-1 condensate
with magnetic dipole-dipole interactions. We show that the dipolar interactions
break the rotational symmetry of the Hamiltonian and induce new quantum phases.
Different phases can be reached by tuning the effective strength of the dipolar
interactions via modifying the trapping geometry. The experimental feasibility
of detecting these phases is investigated. The spin-mixing dynamics is also
studied.
