Paul, thank you very much for the reference to your book. This is a great help
for me since I have still a lot of polynomial divisions to perform. -- Patrick
Reichert
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I will close this "error report thread" here, since I got a perfect answer
at
https://ask.sagemath.org/question/40935/bug-report-kernel-dies-after-1-hour-while-dividing-polynomials/
The workaround is not to create the quotient ring.
It is better to work in polynomial rings and to use the "lift"
Nils, thank you very much for your answer.
(1)
You are right when you say that the division of polynomials can't always be
done in ideals. In my special case I deal with meromorphic functions on
the general elliptic curve with 17-torsion point P=(0,0) and basepoint O
and know the divisors of all