Johannes,

I guess, you have implemented the ModMonic domain.

To me it looks like a good candidate for being used as the
representation domain of SimpleAlgebraicExtension.

However, where SAE uses the polynomial as its third argument, ModMonic
is pretty much mutable, i.e., the polynomial is set on demand.
I wonder what the pros and cons of such an approach are.

Couldn't ModMonic also use 3 parameters like SAE?

As can be seen from
https://github.com/fricas/fricas/blob/master/src/algebra/ffpoly.spad#L211
it would mean creating a new instance of the ModMonicDomain with every
call of reducedQPowers. Would that be the problem? Too much overhead in
creating a new domain?

That's certainly a problem if FriCAS should ever be able to use the
power of running on several CPU kernels.

Ralf

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