Hi William,

On Jan 12, 12:24 am, William Stein <wst...@gmail.com> wrote:
> Dumb question.  There is code in Sage already to convert from GAP's
> GF(p) (or GF(q)) to Sage's:

you are completely right. Since at the beginning I tried to do
something like

sage: a = gap("Z(7)")
sage: a.sage()

and that didn't work I assumed that everything needed to be
reimplemented from scratch. Indeed the only thing that needed
implementation was the conversion of GAP finite fields into sage ones
for non-prime fields and cyclotomic fields. I have rewritten the
function wrapping those methods and putting everything together in a
single patch.

Sorry for wasting so much of everybody's time with this discussion. At
least now conversion of cyclotomic elements should work seamlessly.

Cheers
J
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