  Let $K$ be any finite extension of $Q_{p}$, $L$ any finite Galois extension
of $K$ and $E$ any finite large enough coefficient field containing $L$. We
classify two-dimensional, F-semistable $E$-representations of $G_{K}$, by
listing the isomorphism classes of rank two weakly admissible filtered
$(\phi,N,L/K,E)$-modules.
