since in such a case the biased cross section is simply $\sigma_B={\left\langle \mu \right\rangle}\sigma$, implying that the biased cross section can be easily computed through uniform Monte Carlo sampling of the image plane. Since one of our goals in this work is to provide a test case for more complicated numerical algorithms, we choose $\alpha=-2$.

Having fully specified our model, we can now easily compute the biased lensing cross section for halos of any shape as a function of line of sight. Briefly, we proceed as follows. First, we compute the biased lensing cross section for SIE profiles as a function of the projected axis ratio $q$ for a grid of $q$ values. These data points are then fit using a third order polynomial fit, which we find is accurate to $\lesssim 1\%$. Using this simple fit for $\sigma_b(q)$, and the fact that we can analytically compute the Einstein radius and projected axis ratio for a triaxial halo along any line of sight, we can readily compute the mean lensing cross section of a halo averaged over all lines of sight. For a detailed description of our calculations, we refer the reader to the Appendices.

Before we end, however, it 