Programs

MAGMA package ArtinAlgebras

This package contains functions for handling commutative algebras over fields (e.g. matrix algebras), such as the computation of the decomposition of such an algebra into a direct product of its localisations, and the computation of an isomorphic affine algebra with few relations. Functions testing certain properties (e.g. the Gorenstein property) are included. Some functions only work over finite fields (for technical, not conceptual reasons).

MAGMA package Weight1

This package computes Katz modular forms of weight one over finite fields. It is based on an algorithm by Edixhoven.

MAGMA package Hecke Algebra

This package is designed for the computation of Hecke algebras of modular forms over finite fields of characteristic p in the following cases:

• all eigenforms for a given level N, weight k and Dirichlet character of modulus N,
• dihedral modular forms coming from the Hilbert class field of a quadratic number field,
• icosahedral modular forms (currently only in characteristic p=2) given by an A5-polynomial.

FastHeckeOperator (by Georg Weber)

(to be added very soon)

Last modification: 8 August 2008.