  We model the supermassive dark object $M87^*$ as a Schwarzschild lens and
study the variations in tangential, radial, and total (the product of
tangential and radial) magnifications of images (primary, secondary, and
relativistic) against the changes in angular source position and the ratio of
lens-source to the observer-source distance. Further, we study the behavior of
partial derivatives (with respect to the angular source position) of total
magnifications of images against the angular source position. Finally, we model
supermassive dark objects at centers of 40 galaxies as Schwarzschild lenses and
study the variations in tangential, radial, and total magnifications of images
against the change in the ratio of mass of the lens to its distance. These
studies yield many nonintuitive results which are likely to be significant for
next generation Event Horizon Telescope observations. We {\em hypothesize} that
there exists a distortion parameter such that their signed sum of all images of
singular gravitational lensing of a source identically vanishes. We test this
with images of Schwarzschild lensing in weak and strong gravitational fields
and find that this esthetically appealing hypothesis succeeds with flying
colors.
