Sage Days 17 Project

Updating wstein.org/Tables

We have that there are three (related) tasks to perform:

1. generate data
2. make that data easily accessible and searched
3. make this available through a web front-end.

Basically everything else on this wiki is currently part of (1). Here's a list of tasks for (3):

• create some appropriate storage on a ZFS drive to test

• set up Robert Bradshaw's CherryPy code from Benasque

• start adding data from existing tables
• add functionality to the database manager to provide canonical URLs for data and an associated wiki
• think about authentication issues for uploading new data
• create a table of contents for the data
• make certain fields (such as author or title) immutable

Other closely related tasks:

• create a database type for plaintext databases

Feature requests:

• user queries for new additions

Rational Cuspidal Subgroups

• See http://wstein.org/home/wstein/db/days17/cuspidal_torsion/ for some data.

Dimensions of Modular Forms Spaces for Gamma(N)

• See #6860.

Pre-Sage 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...