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

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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 was created in October 2024 with the following goals:

Full documentation is available online.

passagemath attempts to support all major Linux distributions and recent versions of macOS. Use on Windows currently requires the use of Windows Subsystem for Linux or virtualization.

Complete sets of binary wheels are provided on PyPI for Python versions 3.9.x-3.12.x. Python 3.13.x is also supported, but some third-party packages are still missing wheels, so compilation from source is triggered for those.

About this pip-installable distribution package

This pip-installable distribution passagemath-singular provides interfaces to [Singular](https://www.singular.uni-kl.de/), 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

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 sage.all__sagemath_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]

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10.6.1rc4 pre-release

10.6.1rc3 pre-release

10.6.1rc2 pre-release

This version

10.5.44

10.5.43

10.5.29

10.4.68

10.4.13

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