My recent work has been in to speed up a lot of modular symbols
related code, especially the linear algebra it depends on. Not
everything is up to standars to get it into sage but should be in the
near future.


> I'm also interested in the integrality question, and my own code is
> pretty good at keeping denominators to a minimum (at most 2), though
> admittedly that is just for weight 2 and trivial character.
>
> John
>

I'm also very interested in the integrallity question. I'm quite happy
that your code is good at this specific case, since this is the case I
really need for my master thesis which will be related to williams
quartic torsion calculations. When working with Gamma1(p) for p prime
and between 44 to 272 the denominator 2 occurs only for the primes 89,
239 and 257. If you are interested, I found a trick to at least
calculate an integral basis of the modular symbols very efficiently in
the case where the denominator is two.

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