  We study the monomial crystal defined by the second author. We show that each
component of the monomial crystal can be embedded into a crystal of an extremal
weight module introduced by Kashiwara. And we determine all monomials appearing
in the components corresponding to all level 0 fundamental representations of
quantum affine algebras except for some nodes of $E_6^{(2)}$, $E_7^{(1)}$,
$E_8^{(1)}$. Thus we obtain explicit descriptions of the crystals in these
examples. We also give those for the corresponding finite dimensional
representations. For classical types, we give them in terms of tableaux. For
exceptional types, we list up all monomials.
