passagemath: Computational group theory with GAP3
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:
providing modularized installation with pip from binary wheels, - this major project was started in May 2020 in the Sage codebase and completed in passagemath 10.5.29 (May 2025),
establishing first-class membership in the scientific Python ecosystem,
providing independently usable Python interfaces to upstream libraries,
offering platform portability and integration testing services to upstream projects,
inviting collaborations with upstream projects,
empowering Sage users to participate in the scientific Python ecosystem by publishing packages,
developing a port to WebAssembly (Pyodide, emscripten-forge) for serverless deployment with Javascript,
developing a native Windows port - passagemath 10.6.1 (July 2025) published the first pip-installable wheel packages for native Windows on x86_64, - passagemath packages became available in the [MSYS2 software distribution](https://packages.msys2.org/search?t=pkg&q=passagemath) in November 2025.
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
the binary wheels on PyPI ship a prebuilt copy of GAP3, namely Jean Michel’s pre-packaged GAP3, which is a minimal GAP3 distribution containing packages that have no equivalent in GAP4.
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
Release files for passagemath-gap3 10.8.12
For a detailed explanation of source distributions (sdists) and built distributions (wheels), please see the package formats documentation.
Built distributions (wheels)
Total release size: 710.0 MB
Release files / passagemath_gap3-10.8.12-cp314-cp314t-musllinux_1_2_x86_64.whl
| Download URL | passagemath_gap3-10.8.12-cp314-cp314t-musllinux_1_2_x86_64.whl |
|---|---|
| Size | 29.6 MB |
| Tags | CPython 3.14 CPython 3.14 free-threading Linux musl 1.2+ x86-64 |
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Release files / passagemath_gap3-10.8.12-cp314-cp314t-musllinux_1_2_aarch64.whl
| Download URL | passagemath_gap3-10.8.12-cp314-cp314t-musllinux_1_2_aarch64.whl |
|---|---|
| Size | 29.6 MB |
| Tags | CPython 3.14 CPython 3.14 free-threading Linux musl 1.2+ ARM64 |
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Release files / passagemath_gap3-10.8.12-cp314-cp314t-manylinux2014_aarch64.manylinux_2_17_aarch64.manylinux_2_28_aarch64.whl
| Download URL | passagemath_gap3-10.8.12-cp314-cp314t-manylinux2014_aarch64.manylinux_2_17_aarch64.manylinux_2_28_aarch64.whl |
|---|---|
| Size | 27.6 MB |
| Tags | CPython 3.14 CPython 3.14 free-threading Linux glibc 2.17+ ARM64 Linux glibc 2.28+ ARM64 |
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Release files / passagemath_gap3-10.8.12-cp314-cp314t-macosx_13_0_x86_64.whl
| Download URL | passagemath_gap3-10.8.12-cp314-cp314t-macosx_13_0_x86_64.whl |
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| Size | 27.6 MB |
| Tags | CPython 3.14 CPython 3.14 free-threading macOS 13.0+ x86-64 |
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Release files / passagemath_gap3-10.8.12-cp314-cp314t-macosx_13_0_arm64.whl
| Download URL | passagemath_gap3-10.8.12-cp314-cp314t-macosx_13_0_arm64.whl |
|---|---|
| Size | 27.6 MB |
| Tags | CPython 3.14 CPython 3.14 free-threading macOS 13.0+ ARM64 |
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Release files / passagemath_gap3-10.8.12-cp314-cp314-musllinux_1_2_x86_64.whl
| Download URL | passagemath_gap3-10.8.12-cp314-cp314-musllinux_1_2_x86_64.whl |
|---|---|
| Size | 29.6 MB |
| Tags | CPython 3.14 Linux musl 1.2+ x86-64 |
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Release files / passagemath_gap3-10.8.12-cp314-cp314-musllinux_1_2_aarch64.whl
| Download URL | passagemath_gap3-10.8.12-cp314-cp314-musllinux_1_2_aarch64.whl |
|---|---|
| Size | 29.6 MB |
| Tags | CPython 3.14 Linux musl 1.2+ ARM64 |
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Release files / passagemath_gap3-10.8.12-cp314-cp314-manylinux2014_aarch64.manylinux_2_17_aarch64.manylinux_2_28_aarch64.whl
| Download URL | passagemath_gap3-10.8.12-cp314-cp314-manylinux2014_aarch64.manylinux_2_17_aarch64.manylinux_2_28_aarch64.whl |
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| Size | 27.6 MB |
| Tags | CPython 3.14 Linux glibc 2.17+ ARM64 Linux glibc 2.28+ ARM64 |
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Release files / passagemath_gap3-10.8.12-cp314-cp314-macosx_13_0_x86_64.whl
| Download URL | passagemath_gap3-10.8.12-cp314-cp314-macosx_13_0_x86_64.whl |
|---|---|
| Size | 27.6 MB |
| Tags | CPython 3.14 macOS 13.0+ x86-64 |
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Release files / passagemath_gap3-10.8.12-cp314-cp314-macosx_13_0_arm64.whl
| Download URL | passagemath_gap3-10.8.12-cp314-cp314-macosx_13_0_arm64.whl |
|---|---|
| Size | 27.6 MB |
| Tags | CPython 3.14 macOS 13.0+ ARM64 |
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Release files / passagemath_gap3-10.8.12-cp313-cp313-musllinux_1_2_x86_64.whl
| Download URL | passagemath_gap3-10.8.12-cp313-cp313-musllinux_1_2_x86_64.whl |
|---|---|
| Size | 29.6 MB |
| Tags | CPython 3.13 Linux musl 1.2+ x86-64 |
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Release files / passagemath_gap3-10.8.12-cp313-cp313-musllinux_1_2_aarch64.whl
| Download URL | passagemath_gap3-10.8.12-cp313-cp313-musllinux_1_2_aarch64.whl |
|---|---|
| Size | 29.6 MB |
| Tags | CPython 3.13 Linux musl 1.2+ ARM64 |
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Release files / passagemath_gap3-10.8.12-cp313-cp313-manylinux2014_aarch64.manylinux_2_17_aarch64.manylinux_2_28_aarch64.whl
| Download URL | passagemath_gap3-10.8.12-cp313-cp313-manylinux2014_aarch64.manylinux_2_17_aarch64.manylinux_2_28_aarch64.whl |
|---|---|
| Size | 27.6 MB |
| Tags | CPython 3.13 Linux glibc 2.17+ ARM64 Linux glibc 2.28+ ARM64 |
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Release files / passagemath_gap3-10.8.12-cp313-cp313-macosx_13_0_x86_64.whl
| Download URL | passagemath_gap3-10.8.12-cp313-cp313-macosx_13_0_x86_64.whl |
|---|---|
| Size | 27.6 MB |
| Tags | CPython 3.13 macOS 13.0+ x86-64 |
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Release files / passagemath_gap3-10.8.12-cp313-cp313-macosx_13_0_arm64.whl
| Download URL | passagemath_gap3-10.8.12-cp313-cp313-macosx_13_0_arm64.whl |
|---|---|
| Size | 27.6 MB |
| Tags | CPython 3.13 macOS 13.0+ ARM64 |
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Release files / passagemath_gap3-10.8.12-cp312-cp312-musllinux_1_2_x86_64.whl
| Download URL | passagemath_gap3-10.8.12-cp312-cp312-musllinux_1_2_x86_64.whl |
|---|---|
| Size | 29.6 MB |
| Tags | CPython 3.12 Linux musl 1.2+ x86-64 |
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Release files / passagemath_gap3-10.8.12-cp312-cp312-musllinux_1_2_aarch64.whl
| Download URL | passagemath_gap3-10.8.12-cp312-cp312-musllinux_1_2_aarch64.whl |
|---|---|
| Size | 29.6 MB |
| Tags | CPython 3.12 Linux musl 1.2+ ARM64 |
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Release files / passagemath_gap3-10.8.12-cp312-cp312-manylinux2014_aarch64.manylinux_2_17_aarch64.manylinux_2_28_aarch64.whl
| Download URL | passagemath_gap3-10.8.12-cp312-cp312-manylinux2014_aarch64.manylinux_2_17_aarch64.manylinux_2_28_aarch64.whl |
|---|---|
| Size | 27.6 MB |
| Tags | CPython 3.12 Linux glibc 2.17+ ARM64 Linux glibc 2.28+ ARM64 |
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Release files / passagemath_gap3-10.8.12-cp312-cp312-macosx_13_0_x86_64.whl
| Download URL | passagemath_gap3-10.8.12-cp312-cp312-macosx_13_0_x86_64.whl |
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| Size | 27.6 MB |
| Tags | CPython 3.12 macOS 13.0+ x86-64 |
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Release files / passagemath_gap3-10.8.12-cp312-cp312-macosx_13_0_arm64.whl
| Download URL | passagemath_gap3-10.8.12-cp312-cp312-macosx_13_0_arm64.whl |
|---|---|
| Size | 27.6 MB |
| Tags | CPython 3.12 macOS 13.0+ ARM64 |
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| Download URL | passagemath_gap3-10.8.12-cp311-cp311-musllinux_1_2_x86_64.whl |
|---|---|
| Size | 29.6 MB |
| Tags | CPython 3.11 Linux musl 1.2+ x86-64 |
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| Download URL | passagemath_gap3-10.8.12-cp311-cp311-musllinux_1_2_aarch64.whl |
|---|---|
| Size | 29.6 MB |
| Tags | CPython 3.11 Linux musl 1.2+ ARM64 |
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Release files / passagemath_gap3-10.8.12-cp311-cp311-manylinux2014_aarch64.manylinux_2_17_aarch64.manylinux_2_28_aarch64.whl
| Download URL | passagemath_gap3-10.8.12-cp311-cp311-manylinux2014_aarch64.manylinux_2_17_aarch64.manylinux_2_28_aarch64.whl |
|---|---|
| Size | 27.6 MB |
| Tags | CPython 3.11 Linux glibc 2.17+ ARM64 Linux glibc 2.28+ ARM64 |
|
SHA-256 checksum How to use checksums |
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No |
| Uploaded via |
twine/7.0.0 CPython/3.13.14
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Release files / passagemath_gap3-10.8.12-cp311-cp311-macosx_13_0_x86_64.whl
| Download URL | passagemath_gap3-10.8.12-cp311-cp311-macosx_13_0_x86_64.whl |
|---|---|
| Size | 27.6 MB |
| Tags | CPython 3.11 macOS 13.0+ x86-64 |
|
SHA-256 checksum How to use checksums |
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No |
| Uploaded via |
twine/7.0.0 CPython/3.13.14
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Release files / passagemath_gap3-10.8.12-cp311-cp311-macosx_13_0_arm64.whl
| Download URL | passagemath_gap3-10.8.12-cp311-cp311-macosx_13_0_arm64.whl |
|---|---|
| Size | 27.6 MB |
| Tags | CPython 3.11 macOS 13.0+ ARM64 |
|
SHA-256 checksum How to use checksums |
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Uploaded using Trusted Publishing? What is trusted publishing? |
No |
| Uploaded via |
twine/7.0.0 CPython/3.13.14
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