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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 2005-2026 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:

Moreover, the passagemath project:

  • provides a stable, frequently updated version of the Sage distribution,

  • integrates additional mathematical software, notably Macaulay2, a full set of GAP packages, and the Combinatorial Matrix Recognition library,

  • curates a library of Sage user packages.

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, ARM) 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-10.8.x series are 3.11.x-3.14.x; the passagemath-10.6.x series (EOL 2026-10) still supports Python 3.10.x.

About this pip-installable distribution package

This pip-installable distribution passagemath-gap3 provides an interface to GAP3.

It can be installed as an extra of the distribution passagemath-groups:

$ pip install "passagemath-groups[gap3]"

What is included

Examples

Starting GAP3 from the command line without explicit installation:

$ pipx run --spec "passagemath-gap3" sage -gap3
             ########            Lehrstuhl D fuer Mathematik, RWTH Aachen
           ###    ####             #######            #########
          ##         ##           #      ##          ## #     ##
         ##          #           #       ##             #      ##
        ##           #           ##       #             #      ##
        ####        ##            #########             #######
         #####     ###  Version 3 Release 4.4 18 Apr 97 #
           ######### #                                  # Martin Schoenert
                    ##  Alice Niemeyer, Werner Nickel   # Erzsebet Horvath
                   ###  Bettina Eick,   Frank Celler,   # Udo Polis
                  ## #  Johannes Meier, Alex Wegner,    # Goetz Pfeiffer
                 ##  #  Juergen Mnich,  Thomas Breuer   # Heiko Theissen
                ##   #  Hans U. Besche, Volkmar Felsch  # Ansgar Kaup
               ##    #  Akos Seress,    Alexander Hulpke, Thomas Bischops
              ##    ##
               ######   For help enter: ?<return>
 lib: 29 May 2017, src: 22 feb 2017, sys: macosx gcc64
 for this GAP3 distribution see webusers.imj-prg.fr/~jmichel/gap3
...
gap>

Using the pexpect interface:

$ pipx run --spec "passagemath-gap3" sage
...
sage: from sage.interfaces.gap3 import gap3
sage: gap3.load_package("chevie")
sage: m = gap3([[1,2,3],[4,5,6]]); m
[ [ 1, 2, 3 ], [ 4, 5, 6 ] ]

Using sage.combinat.root_system:

$ pipx run --spec "passagemath-gap3" python
...
>>> from passagemath_gap3 import *
>>> W = ReflectionGroup(['H',4]); W
Irreducible real reflection group of rank 4 and type H4

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