  The residual interactions between Laughlin quasiparticles can be obtained
from exact numerical diagonalization studies of small systems. The
pseudopotentials V_QP(R)$ describing the energy of interaction of QE's (or
QH's) as a function of their "relative angular momentum" R cannot support
Laughlin correlations at certain QP filling factors (e.g., nu_QE}=1/3 and
nu_QH=1/5). Because of this the novel condensed quantum fluid states observed
at nu=4/11, 4/13 and other filling fractions cannot possibly be spin polarized
Laughlin correlated QP states of the composite Fermion hierarchy. Pairing of
the QP's clearly must occur, but the exact nature of the incompressible ground
states is not completely clear.
