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We describe and benchmark a method to accurately calculate the quantumdroplet states that can be produced from a dipolar Bose-Einstein condensate.Our approach also allows us to consider vortex states, where the atomscirculate around the long-axis of the filament shaped droplet. We apply ourapproach to determine a phase diagram showing where self-bound droplets arestable against evaporation, and to quantify the energetics related to thefission of a vortex droplet into two non-vortex droplets.

Numerical calculation of dipolar quantum droplet stationary states