plane actually corresponds to four image configurations, taking away from the cross section for producing doubles. When projecting along the short axis of the lens, the Einstein radius is minimized, but the projected mass distribution is nearly spherical, so the majority of the multiply-imaged region produces only doubles.

The column corresponding to quads has much more interesting structure. First, note that [*the distribution of line of sights for quad lenses peaks for projections along the middle axis of the lens rather than the long axis of the lens.*]{} As noted earlier, projections along the middle axis of the lens maximize the ellipticity of the projected profile, so relative to projections along the long axis of the lens, it is evident that the increase in ellipticity more than offsets the slightly smaller Einstein radii for the purposes of enhancing the lensing cross section for producing quad systems. It is also interesting to note that while the peak of the distribution is always clearly about the middle axis of the lens, the shape of the distribution varies considerably in going from prolate halos to oblate halos. In particular, note that for prolate halos the peak about the middle axis is relatively narrow. 