passagemath-singular 10.6.42

passagemath: Computer algebra, algebraic geometry, singularity theory with Singular

passagemath is open source mathematical software in Python, released under the GNU General Public Licence GPLv2+.

It is a fork of SageMath, which has been developed 2005-2025 under the motto “Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, and MATLAB”.

The passagemath fork uses the motto “Creating a Free Passage Between the Scientific Python Ecosystem and Mathematical Software Communities.” It was created in October 2024 with the following goals:

• providing modularized installation with pip,

• establishing first-class membership in the scientific Python ecosystem,

• giving clear attribution of upstream projects,

• providing independently usable Python interfaces to upstream libraries,

• offering platform portability and integration testing services to upstream projects,

• inviting collaborations with upstream projects,

• building a professional, respectful, inclusive community,

• empowering Sage users to participate in the scientific Python ecosystem by publishing packages,

• developing a port to Pyodide for serverless deployment with Javascript,

• developing a native Windows port.

Full documentation is available online.

passagemath attempts to support and provides binary wheels suitable for all major Linux distributions and recent versions of macOS.

Binary wheels for native Windows (x86_64) are are available for a subset of the passagemath distributions. Use of the full functionality of passagemath on Windows currently requires the use of Windows Subsystem for Linux (WSL) or virtualization.

The supported Python versions in the passagemath 10.6.x series are 3.10.x-3.14.x.

About this pip-installable distribution package

This pip-installable distribution passagemath-singular provides interfaces to Singular, the computer algebra system for polynomial computations, with special emphasis on commutative and non-commutative algebra, algebraic geometry, and singularity theory.

It also ships various modules of the Sage library that depend on Singular.

What is included

• Cython interface to libSingular

• pexpect interface to Singular

• various other modules, see https://github.com/passagemath/passagemath/blob/main/pkgs/sagemath-singular/MANIFEST.in

• the PySingular API

• The binary wheels published on PyPI include a prebuilt copy of Singular.

Examples

Using Singular on the command line:

$ pipx run --pip-args="--prefer-binary" --spec "passagemath-singular" sage -singular
                     SINGULAR                                 /
 A Computer Algebra System for Polynomial Computations       /   version 4.4.0
                                                           0<
 by: W. Decker, G.-M. Greuel, G. Pfister, H. Schoenemann     \   Apr 2024
FB Mathematik der Universitaet, D-67653 Kaiserslautern        \
>

Finding the installation location of the Singular executable:

$ pipx run --pip-args="--prefer-binary" --spec "passagemath-singular[test]" ipython

In [1]: from sage.features.singular import Singular

In [2]: Singular().absolute_filename()
Out[2]: '/Users/mkoeppe/.local/pipx/.cache/51651a517394201/lib/python3.11/site-packages/sage_wheels/bin/Singular'

Using the Cython interface to Singular:

$ pipx run --pip-args="--prefer-binary" --spec "passagemath-singular[test]" ipython

In [1]: from passagemath_singular import *

In [2]: from sage.libs.singular.function import singular_function

In [3]: P = PolynomialRing(GF(Integer(7)), names=['a', 'b', 'c', 'd'])

In [4]: I = sage.rings.ideal.Cyclic(P)

In [5]: std = singular_function('std')

In [6]: std(I)
Out[6]: [a + b + c + d, b^2 + 2*b*d + d^2, b*c^2 + c^2*d - b*d^2 - d^3,
         b*c*d^2 + c^2*d^2 - b*d^3 + c*d^3 - d^4 - 1, b*d^4 + d^5 - b - d,
         c^3*d^2 + c^2*d^3 - c - d, c^2*d^4 + b*c - b*d + c*d - 2*d^2]

Available as extras, from other distributions

Jupyter kernel

pip install "passagemath-singular[jupyterkernel]"

installs the kernel for use in the Jupyter notebook and JupyterLab

pip install "passagemath-singular[notebook]"

installs the kernel and the Jupyter notebook

pip install "passagemath-singular[jupyterlab]"

installs the kernel and JupyterLab