  Using the fermionic basis we obtain the expectation values of all
$\slt$-invariant and $C$-invariant local operators on 10 sites for the
anisotropic six-vertex model on a cylinder with generic Matsubara data. This is
equivalent to the generalised Gibbs ensemble for the XXX spin chain. In the
case when the $\slt$ and $C$ symmetries are not broken this computation is
equivalent to finding the entire density matrix up to 10 sites. As application,
we compute the entanglement entropy without and with temperature, and compare
the results with CFT predictions.
