  Theory predicts that double layer systems realize "two-component composite
fermions," which are formed when electrons capture both intra- and inter-layer
vortices, to produce a wide variety of new strongly correlated liquid and
crystal states as a function of the layer separation. Recent experiments in
double layer graphene have revealed a large number of layer-correlated
fractional quantum Hall states in the lowest Landau level, many of which have
not been studied quantitatively in previous theoretical works. We consider the
competition between various liquid and crystal states at several of these
filling factors (specifically, the states at total filling factors $\nu=3/7$,
$4/9$, $6/11$, $4/7$, $3/5$, $2/3$, and $4/5$) to determine the theoretical
phase diagram as a function of the layer separation. We compare our results
with experiments and identify various observed states. In particular, we show
that at small layer separations the states at total fillings $\nu=3/7$ and
$\nu=3/5$ are partially pseudospin polarized, where pseudospin refers to the
layer index. For certain fractions, such as $\nu=3/7$, interlayer correlations
are predicted to survive to surprisingly large interlayer separations.
