By the way, there are a bunch of free tools out there that can be used
for this type of problem. I somewhat arbitrarily chose GiNaC because it
looked robust (being implemented as a C++ library), but there are many
more options that could have done the calculation for free.

If you aren't running Linux but want to play around with some of the
free mathematical and scientific tool sets out there, a good way to do
it is with the Quantian live-CD linux distribution (based on Knoppix).

http://dirk.eddelbuettel.com/quantian.html

If you don't know what a "live CD" is : it means you just boot from the
CD and you are running the OS from the CD, without having to install
the OS on your hard drive. When you are done, just take the CD out and
reboot and you will be back running your usual OS on your hard drive (or
whatever).

--
Erik Reuter   http://www.erikreuter.net/
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