  We analyze the Hessian matrix of the black hole potential of N=8, d=4
supergravity, and determine its rank at non-BPS critical points, relating the
resulting spectrum to non-BPS solutions (with non-vanishing central charge) of
N=2, d=4 magic supergravities and their ``mirror'' duals. We find agreement
with the known degeneracy splitting of N=2 non-BPS spectrum of generic special
Kahler geometries with cubic holomorphic prepotential. We also relate non-BPS
critical points with vanishing central charge in N=2 magic supergravities to a
particular reduction of the N=8, 1/8-BPS critical points.
