Change log for Magma V2.23-12 (Released 1/8/2018)

Arithmetic Geometry

·A bug in the Chabauty function has been fixed. Fix provided by M. Stoll.

Commutative Algebra

·A crash in the F4 algorithm coming out of ProbableRadicalDecomposition has been fixed. Reported by M. Zieve.

·A rare incorrect result in the F4 algorithm in medium characteristic finite fields has been fixed. Reported by L. Borisov.

·A hang in the Groebner Walk algorithm with ideals with dense polynomials has been fixed. Reported by M. Stoll.

Function Fields

·An error in the computation of the exact constant field has been fixed for fields which are an extension of the constant field but whose defining polynomials are scalar multiples of a polynomial over the constant field by a rational function. Reported by M. Zieve.

Polynomial Rings

·A hang when factoring polynomials defined a chain of polynomial quotient rings in small characteristic has been fixed.

·Some leaks in polynomial operations have been fixed.

·A hang in the computation of complex roots of polynomials has been fixed. Reported by D. Barth.