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Magma V2.19-8 Patch Notes

Patch release for Magma V2.19-8. Updated areas: Algebraic Function Fields, Commutative Algebra, Curves, Integer Factorization, Matrices and 2 more.

7 areas

Algebraic Function Fields

  • The prime selection when computing GaloisGroups of polynomials over function fields of prime characteristic has been improved.

  • The computation of transformations in one place of the Galois group computation for reducible polynomials has been improved to avoid infinite loops.

Commutative Algebra

Curves

  • A bug in the arithmetic and construction of automorphisms in the curve automorphism group machinery has been fixed. Reported by J. Rouse.

  • A bug in the preimage of a map between a function field of a curve and its representation as an algebraic function field has been fixed. Reported by J. Rouse.

  • A bug in the conversion of function field places to curve places in WeierstrassPlaces of a divisor of a curve has been fixed. Reported by M. Derickx.

Integer Factorization

  • A problem with not detecting powers when stored factors were used has been resolved. For instance, \(pq^2\) where \(p\) was stored, and \(q\) large, say \(p\) is \(10^{15} + 37\) and \(q\) is \(10^{50} + 151\).

Matrices

  • Some crashes involving huge matrices over medium prime finite fields have been fixed.

Orders and Algebraic Fields

  • Fixed a possible crash in IsPrincipal calculations applied to order ideals.

  • A few fixes supplied by J. Kl{ΓΌ}ners have been made to GaloisGroup computations.

  • A fix has been made to CharacteristicPolynomial so that properties of related orders are not altered during the computation. Reported by E. Thome.

System

  • The Intel 64 AVX version has been sped up for several types of Groebner basis and linear algebra computations (up to 1.5 times faster in some cases).

  • User-defined types may now define a Compare intrinsic that will be used by system sorting operations.

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