passagemath-gap

Pre-release

This release is a pre-release and may not be stable for production use.

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,
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 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-gap is a small distribution that provides modules that depend on the GAP system.

What is included

Cython interface to libgap
Pexpect interface to GAP
numerous modules with build-time dependencies on GAP, see MANIFEST
the binary wheels on PyPI ship a prebuilt copy of GAP and at least the following GAP packages:
- atlasrep: Interface to the Atlas of Group Representations
- autodoc: Generate documentation from GAP source code
- autpgrp: Computing the automorphism group of a p-group
- cohomolo: Cohomology groups of finite groups on finite modules
- corelg: Computing with real Lie algebras
- crime: Group cohomology and Massey products
- crisp: Computing with radicals, injectors, Schunck classes and projectors
- crypting: Hashes and crypto
- datastructures: Collection of standard data structures
- design: Constructing, classifying, partitioning, and studying block designs
- digraphs: Graphs, digraphs, and multidigraphs
- factint: Advanced methods for factoring integers
- fga: Free group algorithms
- gapdoc: Meta package for GAP documentation
- gbnp: Gröbner bases of noncommutative polynomials
- genss: Generic Schreier-Sims
- grape: GRaph Algorithms using PErmutation groups
- guava: Computing with error-correcting codes
- hecke: Calculating decomposition matrices of Hecke algebras
- images: Minimal and canonical images
- jupyterviz: Visualization Tools for Jupyter and the GAP REPL
- io: Bindings for low level C library I/O routines
- json: Reading and Writing JSON
- laguna: Lie AlGebras and UNits of group Algebras
- liealgdb: Database of Lie algebras
- liepring: Database and algorithms for Lie p-rings
- liering: Computing with finitely presented Lie rings
- lins: Computing the normal subgroups of a finitely presented group
- loops: Computing with quasigroups and loops
- mapclass: Mapping class orbit computation
- orb: Methods to enumerate orbits
- packagemanager: Easily download and install GAP packages
- primgrp: Primitive permutation groups library
- quagroup: Computations with quantum groups
- qpa: Quivers and path algebras
- repsn: Constructing representations of finite groups
- sla: Simple Lie algebras
- smallgrp: The GAP Small Groups Library
- sonata: System of nearrings and their applications
- sophus: Computing in nilpotent Lie algebras
- toric: Toric varieties and some combinatorial geometry computations
- utils: Utility functions
- uuid: RFC 4122 UUIDs
- ZeroMQInterface: ZeroMQ bindings
the binary wheels on PyPI ship a prebuilt copy of the native Jupyter kernel for GAP

Examples

Running GAP from the command line:

$ pipx run --spec "passagemath-gap" sage -gap
 ┌───────┐   GAP 4.14.0 of 2024-12-05
 │  GAP  │   https://www.gap-system.org
 └───────┘   Architecture: x86_64-apple-darwin22-default64-kv9
 Configuration:  gmp 6.3.0, GASMAN, readline
 Loading the library and packages ...
 Packages:   GAPDoc 1.6.7, PrimGrp 3.4.4, SmallGrp 1.5.4, TransGrp 3.6.5
 Try '??help' for help. See also '?copyright', '?cite' and '?authors'
gap>

Using the library interface from Python:

$ pipx run --spec "passagemath-gap[test]" IPython

In [1]: from passagemath_modules import *

In [2]: from passagemath_gap import *

In [3]: G = libgap.eval("Group([(1,2,3), (1,2)(3,4), (1,7)])")

In [4]: CG = G.ConjugacyClasses()

In [5]: gamma = CG[2]

In [6]: g = gamma.Representative()

In [7]: CG; gamma; g
[ ()^G, (4,7)^G, (3,4,7)^G, (2,3)(4,7)^G, (2,3,4,7)^G, (1,2)(3,4,7)^G, (1,2,3,4,7)^G ]
(3,4,7)^G
(3,4,7)

Available as extras, from other distributions

Jupyter kernel spec

pip install "passagemath-gap[jupyterkernel]": installs the kernel spec for use in the Jupyter notebook and JupyterLab
pip install "passagemath-gap[notebook]": installs the kernel spec and the Jupyter notebook
pip install "passagemath-gap[jupyterlab]": installs the kernel spec and JupyterLab

GAP packages

pip install "passagemath-gap[4ti2interface]": installs 4ti2interface
pip install "passagemath-gap[aclib]": installs aclib: Almost crystallographic groups
pip install "passagemath-gap[agt]": installs agt
pip install "passagemath-gap[alnuth]": installs alnuth: Algebraic number theory, interface to PARI/GP
pip install "passagemath-gap[caratinterface]": installs caratinterface
pip install "passagemath-gap[corefreesub]": installs corefreesub
pip install "passagemath-gap[cryst]": installs cryst: Computing with crystallographic groups
pip install "passagemath-gap[crystcat]": installs crystcat: Crystallographic groups catalog
pip install "passagemath-gap[ctbllib]": installs ctbllib: The GAP Character Table Library
pip install "passagemath-gap[cubefree]": installs cubefree
pip install "passagemath-gap[cddinterface]": installs cddinterface
pip install "passagemath-gap[curlinterface]": installs curlinterface
pip install "passagemath-gap[deepthought]": installs deepthought
pip install "passagemath-gap[difsets]": installs difsets
pip install "passagemath-gap[float]": installs float
pip install "passagemath-gap[fr]": installs fr
pip install "passagemath-gap[fwtree]": installs fwtree
pip install "passagemath-gap[grpconst]": installs grpconst
pip install "passagemath-gap[guarana]": installs guarana
pip install "passagemath-gap[hap]": installs hap: Homological algebra programming
pip install "passagemath-gap[hapcryst]": installs hapcryst: HAP extension for crystallographic groups
pip install "passagemath-gap[help]": installs help
pip install "passagemath-gap[irredsol]": installs irredsol: Library of irreducible soluble linear groups over finite fields and of finite primivite soluble groups
pip install "passagemath-gap[lpres]": installs lpres
pip install "passagemath-gap[modisom]": installs modisom
pip install "passagemath-gap[nilmat]": installs nilmat
pip install "passagemath-gap[nq]": installs nq: Nilpotent quotients of finitely presented groups
pip install "passagemath-gap[numericalsgps]": installs numericalsgps
pip install "passagemath-gap[polenta]": installs polenta: Polycyclic presentations for matrix groups
pip install "passagemath-gap[polycyclic]": installs polycyclic: Computation with polycyclic groups
pip install "passagemath-gap[polymaking]": installs polymaking: Interfacing the geometry software polymake
pip install "passagemath-gap[radiroot]": installs radiroot: Roots of a polynomial as radicals
pip install "passagemath-gap[rcwa]": installs rcwa
pip install "passagemath-gap[resclasses]": installs resclasses: Set-theoretic computations with residue classes
pip install "passagemath-gap[semigroups]": installs semigroups
pip install "passagemath-gap[sglppow]": installs sglppow
pip install "passagemath-gap[simpcomp]": installs simpcomp
pip install "passagemath-gap[singular]": installs singular: Interface to Singular
pip install "passagemath-gap[smallsemi]": installs smallsemi
pip install "passagemath-gap[sonata]": installs sonata
pip install "passagemath-gap[symbcompcc]": installs symbcompcc
pip install "passagemath-gap[tomllib]": installs tomlib: The GAP Library of Tables of Marks
pip install "passagemath-gap[transgrp]": installs transgrp: Transitive Groups Library
pip install "passagemath-gap[xmod]": installs xmod
pip install "passagemath-gap[unitlib]": installs unitlib
pip install "passagemath-gap[yangbaxter]": installs yangbaxter

Collections

pip install "passagemath-gap[standard]": installs all GAP packages present in a standard installation of Sage and their dependencies
pip install "passagemath-gap[full]": installs the full set of GAP packages shipped by the GAP distribution and their dependencies

test 4ti2interface aclib agt alnuth automata caratinterface cddinterface corefreesub cryst crystcat ctbllib cubefree curlinterface deepthought difsets digraphs fining float fr fwtree grpconst guarana hap hapcryst help irredsol lpres modisom nilmat nq normalizinterface numericalsgps polenta polycyclic polymaking radiroot rcwa resclasses semigroups sglppow sgpviz simpcomp singular smallsemi sonata symbcompcc tomlib transgrp xmod unitlib yangbaxter jupyterkernel jupyterlab notebook standard full

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SHA256	`dfd474b135e381d923f3c8d8aca95c8eca1fc438193acbb676fb7e866cddac84`
MD5	`156cc5e4ff71becc4983fc56387357bd`
BLAKE2b-256	`211e0832b0de8ae3f92e80a40cb71e4d8ae1150ba89bddb79af42ffb774bd0b5`

Algorithm	Hash digest
SHA256	`29187bd3608ee3cc9819b66932a06943f15d7b1fb4846d9ad923812cba628992`
MD5	`eb0b3e40c0754e2b2cb28471ef7c0416`
BLAKE2b-256	`7e044b0795c5ecd56ad183db8c59b41a11a2c50d97c1928fa1c5d86ddce9ce19`

Algorithm	Hash digest
SHA256	`529402f18415952c3aeeb6affb6f0e82a5088efb321af97aa00b4344472dec7c`
MD5	`5b404c2c2936662a46ce312ea823fcb2`
BLAKE2b-256	`8509b71e8cee3f5e35cfc30a95e6182bbde25e081398801b2b1d3f38c00d97a1`

passagemath-gap 10.8.10rc3

About this pip-installable distribution package

What is included

Examples

Available as extras, from other distributions

Jupyter kernel spec

GAP packages

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Algorithm	Hash digest
SHA256	`307f3d41d3bdbc62657fd9a071f4e33e1863405d068df40b453a8a3df4000418`
MD5	`873df102e5cade1c1904ef299986eb29`
BLAKE2b-256	`f32aa95da13fc31983a98c458027938de21916beec81ff4d3dfa95196f427693`

Algorithm	Hash digest
SHA256	`eb464a52ee4dc1b07369a56d1ef96a377b349a8aa8f44a2142e5bf2be4ab1965`
MD5	`5548554ee98ffbf5304f990833b3d859`
BLAKE2b-256	`1bebffef12fb7149f1e415f9cf813ba900bcf86561737f4831a9ebc852737d33`

Algorithm	Hash digest
SHA256	`a3e25b1531e264132c02fa972a594a56d289464da378dee08b445a30911cc717`
MD5	`af2af53a351a039d634cf2a5ab3078d7`
BLAKE2b-256	`a38888f3b2fade5a9fb48d0f4202a9c48cab189586c38909dadc5c342cadcb35`

Algorithm	Hash digest
SHA256	`12870ca19dfb80b09e380eec3e1c6b83ef75fefe15a7c72c766bde9e22b2d287`
MD5	`303bdcba0e0a09079fc12b98faae871f`
BLAKE2b-256	`3bc2f9ce85530d8acc2e214c768de94da8b35c5f452caf775c02274efe0529de`

Algorithm	Hash digest
SHA256	`613c4852b612ea6c06bf50948c43e4539495ffe09d0633c328901d1b43e1417a`
MD5	`7e23987498333f6502100cb9fdfc99c2`
BLAKE2b-256	`df28891c68a6d13071bc13e9616d98a7cdf2439645a86c771d6a910dffa3529d`

Algorithm	Hash digest
SHA256	`970f90853b185dfd1f05551cc7222649c824382133ca2af4edd2b6636c288fce`
MD5	`5ffd3bf74194d7c06ee60528d35a383c`
BLAKE2b-256	`1bf2047d6717ff2dab3605f42d441a379d24bffc9d54d830d87d7e0045852bb3`

Algorithm	Hash digest
SHA256	`95e760b533a91163704d75f8edecd2295491da83f38e0ad31074883a1f259d65`
MD5	`8425d6861871b609ec8ac846392994be`
BLAKE2b-256	`b08d1bc4800cfeaf1bf30c5c6168b65d352504a14f59d91a3049497540285e7a`

Algorithm	Hash digest
SHA256	`ef0a0c481e20f8d8f970c9a169d6fd0311c35adc424eeb90ffaa92e672763a7c`
MD5	`bd9126d53da246090b1e3f79a0064f54`
BLAKE2b-256	`1fc471414012a52b4d39087633cc9f6864f0b7f4254d15e3b7cd4882c088ccf1`

Algorithm	Hash digest
SHA256	`0d9c6376f17469a40aee3ed7d8ba584ffd6c05b4cbaf940e8d50e08477f3231b`
MD5	`a61fb85c4029c71d906efa5ea72b0e98`
BLAKE2b-256	`7c87add32d2d7ff7bb46ad9044f351f7c163bfd031927d031cd85ca20b51526f`

Algorithm	Hash digest
SHA256	`c8a58b9ed2a32a679fb469484357ae3029956da609bdf1418d4fb58acd0c7699`
MD5	`7ec49b7f22ef2e53662d2b693ea19d32`
BLAKE2b-256	`b5ec543483d60c65876d3749017f533eb72f86779d9d493a26339b6939acf402`