Change log for Magma V2.14-5 (Released 20/11/2007)

Arithmetic Geometry

·A bug in Points for Jacobians has been corrected.

·A bug in HasSquareSha for Jacobians (which could result in an incorrect rank bound) has been fixed.

·New functionality for genus one models, which had been inadvertently omitted, is now included.

Galois Groups

·Two bugs in the Galois package independently found by N. Bruin and P. Mueller have been fixed. Both address problems in computations with certain non-monic polynomials.

Group Theory

·The Atlas database atlas.tar.gz has been updated for 2.14. This new database must be used with the 2.14 executable.

Groups

·A bug when the hom constructor for pc-group domain is not given enough arguments has been fixed. Bug reported by Kasper Andersen.

Matrices

·The function FrobeniusForm for alternating matrices has been renamed to FrobeniusFormAlternating. FrobeniusForm is now a synonym for RationalForm.

Module over Dedekind domains

·A bug in Basis has been discovered by S. Glasby. Instead of a (pseudo) basis, the first generators were returned.

Polynomial Rings

·An inefficiency in multiplying large rational polynomials by scalars has been fixed. Reported by H. Hubrechts.

·A crash in IsPrime over fields of fractions has been fixed. Reported by K. Binder.

Polynomials

·A bug in multivariate factorization over cyclotomic fields has been fixed. Reported by M. Grassl.

Rings

·Expansions of elements of function fields at places can now be computed quicker than before.