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We present a high-precision mass model of galaxy cluster Abell 2744, based ona strong-gravitational-lensing analysis of the \emph{Hubble Space TelescopeFrontier Fields} (HFF) imaging data, which now include both \emph{AdvancedCamera for Surveys} and \emph{Wide-Field Camera 3} observations to the finaldepth. Taking advantage of the unprecedented depth of the visible andnear-infrared data, we identify 34 new multiply imaged galaxies, bringing thetotal to 61, comprising 181 individual lensed images. In the process, wecorrect previous erroneous identifications and positions of multiple systems inthe northern part of the cluster core. With the \textsc{Lenstool} software andthe new sets of multiple images, we model the cluster using two cluster-scaledark matter halos plus galaxy-scale halos for the cluster members. Our best-fitmodel predicts image positions with an \emph{RMS} error of 0.69$\arcsec$, whichconstitutes an improvement by almost a factor of two over previous parametricmodels of this cluster. We measure the total projected mass inside a 200~kpcaperture as ($2.162\pm 0.005$)$\times 10^{14}M_{\odot}$, thus reaching 1\%level precision for the second time, following the recent HFF measurement ofMACSJ0416.1-2403. Importantly, the higher quality of the mass model translatesinto an overall improvement by a factor of 4 of the derived magnificationfactor. % for the high-redshift lensed background galaxies. Together with ourprevious HFF gravitational lensing analysis, this work demonstrates that theHFF data enables high-precision mass measurements for massive galaxy clustersand the derivation of robust magnification maps to probe the early Universe.

Hubble Frontier Fields : A High-Precision Strong-Lensing Mass Model of the Massive Galaxy Cluster Abell 2744 using 180 Multiple Images