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We study the image formation near point singularities (swallowtail andumbilics) in the simulated strongly lensed images of Hubble Ultra Deep Field(HUDF) by the Hubble Frontier Fields (HFF) clusters. In this work, we onlyconsider nearly half of the brightest (a total of 5271) sources in the HUDFregion. For every HFF cluster, we constructed 11 realizations of stronglylensed HUDF with an arbitrary translation of the cluster centre within thecentral region of HUDF and an arbitrary rotation. In each of theserealizations, we visually identify the characteristic/exotic image formationcorresponding to the different point singularities. We find that our currentresults are consistent with our earlier results based on different approaches.We also study time delay in these exotic image formations and compare it withtypical five-image geometries. We find that the typical time delay in exoticimage formations is an order of magnitude smaller than the typical time delayin a generic five-image geometry.

Exotic Image Formation in Strong Gravitational Lensing by Clusters of Galaxies -- III: Statistics with HUDF