are extremely challenging since they both rely upon diagonalization of large mass matrices. We can make some approximate analytical statements by observing that the direct gravitational corrections to the logarithmic effective potential for $\Phi_0$ given in [@Intriligator:2006dd] are small and overwhealmed by the non-gravitational terms. Then using the global effective potential, derived at the global SUSY minimum, will only introduce small errors if it does not vary too rapidly across field space and the combination of this and the Sugra tree-level potential gives vevs close to the global vevs. To see if this approximation was valid we opted to calculate the effective potential numerically, using the approach described in the following section. One can make progress by observing that, at the minimum, it is possible to compute the series expansion the one-loop potential up to second order in the fields. This leaves enough information to confirm that this is point is both a stationary point and a minimum. Eq. (\[eq:V\_one-loop\]) can then be computed for pairs of fields at a time, with all others frozen. With the problem broken into several managable parts it is possible to attack it numerically as described in the following section.

However computing the effective 