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== PreSage Days Stuff == See [[/presagedaysprojects]]. There are numerous ideas for projects there. == Implement the Hijikata Trace Formula == There are PARI and Magma implementations here along with some scans: http://modular.fas.harvard.edu/Tables/hijikata.html Do a Sage implementation. Then do some interesting computations say of the trace of $T_2$ on some high weight spaces... 
Dimensions of Modular Forms Spaces for Gamma(N)
See #6860.
PreSage Days Stuff
See projects. There are numerous ideas for projects there.
Implement the Hijikata Trace Formula
There are PARI and Magma implementations here along with some scans:
http://modular.fas.harvard.edu/Tables/hijikata.html
Do a Sage implementation. Then do some interesting computations say of the trace of T_2 on some high weight spaces...