sympow: Computes special values of symmetric power elliptic curve L-functions¶

Description¶

SYMPOW is a package to compute special values of symmetric power elliptic curve L-functions. It can compute up to about 64 digits of precision.

License¶

See the file src/COPYING

Upstream Contact¶

SYMPOW does not appear to be maintained any longer. Mark Watkins, the package author, now works at Magma. Previous (possibly still usable) email is watkins@maths.usyd.edu.au

New upstream: https://gitlab.com/rezozer/forks/sympow

Dependencies¶

GNU patch

Special Update/Build Instructions¶

Some of the code is very dubious, and it is anyones guess really what the compiler does with it. For example, the following line exists in src/eulerfactors.c:

if ((HECKE) && (d==1)) return hecke_good(p,ap,m,v);

But since hecke_good is defined as returning void, it’s hard to know exactly how this code behaves. I would not be surprised by any bugs that might show up. I (David Kirkby) would personally not trust this code much at all.
This is a difficult package to maintain. A github issue (#9758) has been opened to implement Watkins-Delaunay’s algorithm for computing modular degrees in Sage. Once implemented, it should be possible to remove this package.
The package is configured such that the data files are in a directory below where ‘sympow’ is installed. If Sage is installed globally, then it will be impossible to create the data files without being root. This has been fixed in the Gentoo Linux distribution. Some information from Christopher can be seen on Issue #9703 This package will generate binary versions of all shipped datafiles, so these will work. However, creating totally new datafiles from scratch will not work.

Type¶

standard

Dependencies¶

pari: Computer algebra system for fast computations in number theory

Version Information¶

package-version.txt:

2.023.6

Equivalent System Packages¶

Arch Linux

$ sudo pacman -S sympow

conda-forge

$ conda install sympow

Debian/Ubuntu

$ sudo apt-get install sympow

Fedora/Redhat/CentOS

$ sudo yum install sympow

Gentoo Linux

$ sudo emerge sci-mathematics/sympow

Nixpkgs

$ nix-env --install sympow

openSUSE

$ sudo zypper install sympow

Void Linux

$ sudo xbps-install sympow

See https://repology.org/project/sympow/versions

If the system package is installed, ./configure will check if it can be used.