Composite fermions in the neighborhood of ν=1/3

We present extensive comparisons of the composite fermion theory with exact results in the filling factor range 2/5>ν>1/3, which affirm that the composite fermion theory correctly describes the qualitative reorganization of the low energy Hilbert space of the strongly correlated electrons, and predicts eigenenergies with an accuracy of ∼0.1%. These facts establish the basic validity of the composite fermion description in this filling factor region.