Change log for Magma V2.15-3 (Released 20/12/2008)

Algebraic Function Fields

·Maximal orders of Kummer extensions have been further sped up by avoiding creation of the intermediate p-maximal orders.

Algebraic Number Fields

·Maximal orders of Kummer extensions have been further sped up by avoiding creation of the intermediate p-maximal orders.

Algebras

·The QuotientModule and MaximumTime parameters have been switched over to use the MPFR reals.

Geometry

·Another local solubility glitch for IsotropicSubspace has been fixed. A different bug (failed minimization) that largely affected higher even dimensional cases (particularly dimension 6) has also been fixed. These bugs were noted by T. A. Fisher.

Hilbert Modular Forms

·Several serious bugs, which came to light during testing, have been fixed. (This affects a large range of cases.)

Lattices

·Various functions involving pSignatures now return something modulo 8 (still as an integer), as this is what is rationally invariant.

Polynomial Rings

·A problem with matrices over boolean polynomial rings has been fixed. Reported by M. Grassl.

Rational Function Fields

·The function Valuation applied to a rational function at a place is now possible after a check on the input has been fixed.

Real and Complex Fields

·Dilog and the Polylog functions are now available again for complex numbers.

System

·The printing of Lists has been slightly improved.

·Assigning to attributes of attributes works in more cases now.