  We study the phase space of eccentric coplanar co-orbitals in the
non-restricted case. Departing from the quasi-circular case, we describe the
evolution of the phase space as the eccentricities increase. We find that over
a given value of the eccentricity, around $0.5$ for equal mass co-orbitals,
important topological changes occur in the phase space. These changes lead to
the emergence of new co-orbital configurations and open a continuous path
between the previously distinct trojan domains near the $L_4$ and $L_5$
eccentric Lagrangian equilibria. These topological changes are shown to be
linked with the reconnection of families of quasi-periodic orbits of
non-maximal dimension.
