  Spin polarization of the "second generation" nu_e=4/11 fractional quantum
Hall state (corresponding to an incompressible liquid in a one-third-filled
composite fermion Landau level) is studied by exact diagonalization. Spin phase
diagram is determined for GaAs structures of different width and electron
concentration. Transition between the polarized and partially unpolarized
states with distinct composite fermion correlations is predicted for realistic
parameters.
