  The outgoing electrons in non-sequential multiple ionization in intense laser
fields are strongly correlated. The correlations can be explained within a
classical model for interacting electrons in the presence of the external
field. Here we extend the previous analysis for two and three electrons to
cases with up to eight electrons and identify the saddle configurations that
guard the channels for non-sequential multiple ionization. For four and fewer
electrons the electrons in the dominant configuration are equivalent, for six
and more electrons this is no longer the case. The case of five electrons is
marginal, with two almost degenerate transition configurations. The total
number of configurations increases rapidly, from 2 configurations for three
electrons up to 26 configurations for eight electrons.
