  We study dipolar Bose-Einstein condensates for a realistic set of parameters
close to actual experimental setups with dysprosium. Our analysis is based on
the extended Gross-Pitaevskii equation, which we solve numerically exact on a
three-dimensional grid. We present stability and phase diagrams, and study the
expansion dynamics of dipolar condensates. Our calculations show signatures of
the dipole-dipole interaction in terms of structured states and a deviation of
the well-known inversion of the aspect ratio of the cloud during a time of
flight.
