  We have constructed the most-comprehensive catalog of photometry and proper
motions ever assembled for a globular cluster (GC). The core of $\omega$Cen has
been imaged over 650 times through WFC3's UVIS and IR channels for the purpose
of detector calibration. There exist from 4 to over 60 exposures through each
of 26 filters, stretching continuously from F225W in the UV to F160W in the
infrared. Furthermore, the 11-year baseline between these data and a 2002 ACS
survey has allowed us to more than double the proper-motion accuracy and triple
the number of well-measured stars compared to our previous groundbreaking
effort. This totally unprecedented complete spectral coverage for over 470,000
stars within the cluster's core, from the tip of the red-giant branch down to
the white dwarfs, provides the best astro-photometric observational data base
yet to understand the multiple-population phenomenon in any GC. In this first
paper of the series we describe in detail the data-reduction processes and
deliver the astro-photometric catalog to the astronomical community.
