  We present numerical calculations of the charge and statistics, as extracted
from Berry phases, of the Laughlin quasi-particles, near filling fraction 1/3,
and for system sizes of up to 200 electrons. For the quasi-holes our results
confirm that the charge and statistics parameter are $e/3$ and 1/3,
respectively. For the quasi-electron charge we find a slow convergence towards
the expected value of $-e/3$, with a finite size correction for $N$ electrons
of approximately $-0.13e/N$. The statistics parameter for the quasi-electrons
has no well defined value even for 200 electrons, but might possibly converge
to 1/3. Most noteworthy, it takes on the same sign as for the quasi-holes, due
to terms that have previously been ignored. The anyon model works well for the
quasi-holes, but requires singular two-anyon wave functions for modelling two
Laughlin quasi-electrons.
