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When a finite field uses givaro as a backend, it is possible to deal with polynomial rings in a single variable, but dealing with multivariate polynomial ring (libsingular) leads to segfaults.
Here is an example:
sage: F = GF(3, impl='givaro')
sage: F
Finite Field of size 3
sage: type(F)
<class 'sage.rings.finite_rings.finite_field_givaro.FiniteField_givaro_with_category'>
sage: R.<a0> = PolynomialRing(F)
sage: type(R)
<class 'sage.rings.polynomial.polynomial_ring.PolynomialRing_dense_finite_field_with_category'>
sage: F(R(2))
2
sage: R.<a0,a1> = PolynomialRing(F)
sage: type(R)
<class 'sage.rings.polynomial.multi_polynomial_libsingular.MPolynomialRing_libsingular'>
sage: F(R(2))
....
Segmentation fault
When a finite field uses
givaro
as a backend, it is possible to deal with polynomial rings in a single variable, but dealing with multivariate polynomial ring (libsingular
) leads to segfaults.Here is an example:
Not sure who to blame though.
From a report at Ask Sage question 53696: Crash with polynomial over Givaro finite field.
CC: @ClementPernet @roed314 @slel
Component: finite rings
Issue created by migration from https://trac.sagemath.org/ticket/30702
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