> There is one remaining 'generate' function in HallBasis.  This
> one probably can be renamed to 'basis'.

Didn't you look at

https://github.com/hemmecke/fricas/commit/921fb0769025445114b96434842fe58e290f7200

I'd either call this generateHallBasis or hallBasis. I opt for the
first, since this is a package and not a domain, I think a short name
like basis is not so good since it probably forces people to always
explicitly add "$HallBasis()" in order to disambiguate.

But I can also live with just "basis".

Ralf

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