  We report results of the first comprehensive, high resolution study of the
deflections of UHECRs using a realistic model of the Galactic magnetic field
and extending to sufficiently low rigidities, R = E/Z = 10^18 V, to describe Fe
in the UHE energy range or the mixed composition reported by the Pierre Auger
Collaboration at the energy of the observed dipole anisotropy. We use the
Jansson-Farrar (JF12) model, which has both large scale coherent and a
structured random components, and determine deflections for fifteen rigidities
from 10^18.0 to 10^20.0 V, for L_coh = 30 pc and 100 pc. We check the
sensitivity of UHECR deflections to the particular realization of the random
field, for 3 rigidity values. For each rigidity and field model studied, the
UHECR arrival direction distribution is determined for an arbitrary source
direction, by inverting the trajectories of > 5 x 10^7 isotropic anti-CRs of
the given rigidity. We present skyplots and tables characterizing the arrival
directions, for representative 1 deg sources. Except at high rigidity, the
pattern of multiple images is very complex and depends strongly on the
coherence length and source direction. For almost all sources, average
deflections grow rapidly as the rigidity falls below 10 EV and deflections
commonly are greater than 90 deg. Magnification and demagnification can be
strong at almost all rigidities, and varies significantly with source
direction. Much of the extragalactic celestial sphere, behind and south of the
Galactic Center, cannot be seen in UHECRs below 10 EV. The pattern of
deflections obtained with the coherent field alone can be significantly
different than with the complete field model, even as regards the position of
the centroid, for some source directions and rigidities. Multiple images,
sometimes very widely separated, are common for small coherence length,
especially for low rigidity.
