  Conjectures for the Hilbert function of the m-th symbolic power of the ideal
of n general points of P2 are verified for infinitely many m for each square n
> 9, using an approach developed by the authors in a previous paper. In those
cases that n is even, conjectures for the resolution are also verified.
Previously, by work of Evain (for the Hilbert function) and of Harbourne, Holay
and Fitchett (for the resolution), these conjectures were known for infinitely
many m for a given n > 9 only for n being a power of 4.
