TITLE: Computing Thompson Series for the Monster Group
QUESTION [5 upvotes]: I am trying to do some experimentation with the values of Thompson series, but I have having a hard time finding a table that has these Thompson series with as many terms as I'd like. The tables I've seen only give me the required Head character values up to the $q^{10}$ term. 
Can someone point me to a resource that either has more terms, or (even better), a resource that might help me compute them myself in sage?
Thanks a lot for any help.

REPLY [5 votes]: Michael Somos (you can contact him at somos@cis.csuhio.edu) has a Pari-GP code which can help you calculate as many terms as you like, while D. Madore has also computed the first 3200 terms.