To investigate why the low-spin state energy predicted by LASSI [1,q] in the (11,20) active space converges much more slowly than in the (11,10) active space, we again analyze n(I) K (∆N, S). Our goal is to identify in which fragment, and in which Hilbert space, the LASSI[1,q](11,20) wave function converges slowly with respect to q. Table presents the same type of data as in Table above, although here the expectation values are averaged over the five lowest LASSI [1,21] eigenstates since we are attempting to model a spin ladder. Since r = 1, only ∆N ∈ {-1, 0, 1} is possible; but on the other hand, since the two fragments each have high spin magnitude in the reference wave function, the spin magnitude may always decrease when each fragment is ionized and may sometimes increase as well: ∆S ∈ {-1 2 , + 1 2 }. Overall, there are five valid Hilbert spaces for the Fe II and four for the Fe III fragment in LASSI [1,q] (in the latter, the case with ∆N = -1 and ∆S = + 2 corresponds to four electrons having a septet spin, which is impossible).