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

passagemath: Computational Number Theory with PARI/GP

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-pari is a small distribution that provides modules that depend on PARI/GP, the computer algebra system designed for fast computations in number theory: factorizations, algebraic number theory, elliptic curves, modular forms, L-functions…

What is included

Examples

Starting the GP calculator from the command line:

$ pipx run --spec "passagemath-pari" sage -gp
GP/PARI CALCULATOR Version 2.17.2 (released)
...

Using the pexpect interface to the GP calculator:

$ pipx run --spec "passagemath-pari[test]" ipython

In [1]: from sage.interfaces.gp import gp

In [2]: E = gp.ellinit([1,2,3,4,5])

In [3]: E.ellglobalred()
Out[3]: [10351, [1, -1, 0, -1], 1, [11, 1; 941, 1], [[1, 5, 0, 1], [1, 5, 0, 1]]]

Using the cypari2 library interface:

$ pipx run --spec "passagemath-pari" python

>>> import cypari2
>>> pari = cypari2.Pari()

>>> pari(2).zeta()
1.64493406684823

>>> p = pari("x^3 + x^2 + x - 1")
>>> modulus = pari("t^3 + t^2 + t - 1")
>>> fq = p.factorff(3, modulus)
>>> fq.lift().centerlift()
[x - t, 1; x + (t^2 + t - 1), 1; x + (-t^2 - 1), 1]

Available as extras, from other distributions

PARI/GP data packages

See https://pari.math.u-bordeaux.fr/packages.html for detailed descriptions.

pip install "passagemath-pari[elldata]"

pip install "passagemath-pari[galdata]"

pip install "passagemath-pari[galpol]"

pip install "passagemath-pari[nflistdata]"

pip install "passagemath-pari[nftables]"

pip install "passagemath-pari[seadata]"

pip install "passagemath-pari[seadata-big]"

pip install "passagemath-pari[seadata-small]"

Release files for passagemath-pari 10.8.12rc1

For a detailed explanation of source distributions (sdists) and built distributions (wheels), please see the package formats documentation.

Source distribution (sdist)

Source distribution for passagemath-pari 10.8.12rc1
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passagemath_pari-10.8.12rc1.tar.gz 830.8 kB Details

Built distributions (wheels)

Table of built distributions (wheels) for passagemath-pari 10.8.12rc1
File
passagemath_pari-10.8.12rc1-cp314-cp314t-musllinux_1_2_x86_64.whl CPython 3.14 CPython 3.14 free-threading Linux musl 1.2+ x86-64 Details
passagemath_pari-10.8.12rc1-cp314-cp314t-musllinux_1_2_aarch64.whl CPython 3.14 CPython 3.14 free-threading Linux musl 1.2+ ARM64 Details
passagemath_pari-10.8.12rc1-cp314-cp314t-manylinux_2_28_x86_64.whl CPython 3.14 CPython 3.14 free-threading Linux glibc 2.28+ x86-64 Details
passagemath_pari-10.8.12rc1-cp314-cp314t-manylinux_2_28_aarch64.whl CPython 3.14 CPython 3.14 free-threading Linux glibc 2.28+ ARM64 Details
passagemath_pari-10.8.12rc1-cp314-cp314t-macosx_13_0_x86_64.whl CPython 3.14 CPython 3.14 free-threading macOS 13.0+ x86-64 Details
passagemath_pari-10.8.12rc1-cp314-cp314t-macosx_13_0_arm64.whl CPython 3.14 CPython 3.14 free-threading macOS 13.0+ ARM64 Details
passagemath_pari-10.8.12rc1-cp314-cp314-musllinux_1_2_x86_64.whl CPython 3.14 CPython 3.14 Linux musl 1.2+ x86-64 Details
passagemath_pari-10.8.12rc1-cp314-cp314-musllinux_1_2_aarch64.whl CPython 3.14 CPython 3.14 Linux musl 1.2+ ARM64 Details
passagemath_pari-10.8.12rc1-cp314-cp314-manylinux_2_28_x86_64.whl CPython 3.14 CPython 3.14 Linux glibc 2.28+ x86-64 Details
passagemath_pari-10.8.12rc1-cp314-cp314-manylinux_2_28_aarch64.whl CPython 3.14 CPython 3.14 Linux glibc 2.28+ ARM64 Details
passagemath_pari-10.8.12rc1-cp314-cp314-macosx_13_0_x86_64.whl CPython 3.14 CPython 3.14 macOS 13.0+ x86-64 Details
passagemath_pari-10.8.12rc1-cp314-cp314-macosx_13_0_arm64.whl CPython 3.14 CPython 3.14 macOS 13.0+ ARM64 Details
passagemath_pari-10.8.12rc1-cp313-cp313-musllinux_1_2_x86_64.whl CPython 3.13 CPython 3.13 Linux musl 1.2+ x86-64 Details
passagemath_pari-10.8.12rc1-cp313-cp313-musllinux_1_2_aarch64.whl CPython 3.13 CPython 3.13 Linux musl 1.2+ ARM64 Details
passagemath_pari-10.8.12rc1-cp313-cp313-manylinux_2_28_x86_64.whl CPython 3.13 CPython 3.13 Linux glibc 2.28+ x86-64 Details
passagemath_pari-10.8.12rc1-cp313-cp313-manylinux_2_28_aarch64.whl CPython 3.13 CPython 3.13 Linux glibc 2.28+ ARM64 Details
passagemath_pari-10.8.12rc1-cp313-cp313-macosx_13_0_x86_64.whl CPython 3.13 CPython 3.13 macOS 13.0+ x86-64 Details
passagemath_pari-10.8.12rc1-cp313-cp313-macosx_13_0_arm64.whl CPython 3.13 CPython 3.13 macOS 13.0+ ARM64 Details
passagemath_pari-10.8.12rc1-cp312-cp312-musllinux_1_2_x86_64.whl CPython 3.12 CPython 3.12 Linux musl 1.2+ x86-64 Details
passagemath_pari-10.8.12rc1-cp312-cp312-musllinux_1_2_aarch64.whl CPython 3.12 CPython 3.12 Linux musl 1.2+ ARM64 Details
passagemath_pari-10.8.12rc1-cp312-cp312-manylinux_2_28_x86_64.whl CPython 3.12 CPython 3.12 Linux glibc 2.28+ x86-64 Details
passagemath_pari-10.8.12rc1-cp312-cp312-manylinux_2_28_aarch64.whl CPython 3.12 CPython 3.12 Linux glibc 2.28+ ARM64 Details
passagemath_pari-10.8.12rc1-cp312-cp312-macosx_13_0_x86_64.whl CPython 3.12 CPython 3.12 macOS 13.0+ x86-64 Details
passagemath_pari-10.8.12rc1-cp312-cp312-macosx_13_0_arm64.whl CPython 3.12 CPython 3.12 macOS 13.0+ ARM64 Details
passagemath_pari-10.8.12rc1-cp311-cp311-musllinux_1_2_x86_64.whl CPython 3.11 CPython 3.11 Linux musl 1.2+ x86-64 Details
passagemath_pari-10.8.12rc1-cp311-cp311-musllinux_1_2_aarch64.whl CPython 3.11 CPython 3.11 Linux musl 1.2+ ARM64 Details
passagemath_pari-10.8.12rc1-cp311-cp311-manylinux_2_28_x86_64.whl CPython 3.11 CPython 3.11 Linux glibc 2.28+ x86-64 Details
passagemath_pari-10.8.12rc1-cp311-cp311-manylinux_2_28_aarch64.whl CPython 3.11 CPython 3.11 Linux glibc 2.28+ ARM64 Details
passagemath_pari-10.8.12rc1-cp311-cp311-macosx_13_0_x86_64.whl CPython 3.11 CPython 3.11 macOS 13.0+ x86-64 Details
passagemath_pari-10.8.12rc1-cp311-cp311-macosx_13_0_arm64.whl CPython 3.11 CPython 3.11 macOS 13.0+ ARM64 Details

Total release size: 1.8 GB

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Release files / passagemath_pari-10.8.12rc1-cp312-cp312-musllinux_1_2_aarch64.whl

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Release files / passagemath_pari-10.8.12rc1-cp312-cp312-manylinux_2_28_x86_64.whl

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Release files / passagemath_pari-10.8.12rc1-cp312-cp312-manylinux_2_28_aarch64.whl

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Release files / passagemath_pari-10.8.12rc1-cp312-cp312-macosx_13_0_x86_64.whl

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Release files / passagemath_pari-10.8.12rc1-cp312-cp312-macosx_13_0_arm64.whl

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Release files / passagemath_pari-10.8.12rc1-cp311-cp311-musllinux_1_2_x86_64.whl

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Release files / passagemath_pari-10.8.12rc1-cp311-cp311-musllinux_1_2_aarch64.whl

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Release files / passagemath_pari-10.8.12rc1-cp311-cp311-manylinux_2_28_x86_64.whl

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Release files / passagemath_pari-10.8.12rc1-cp311-cp311-manylinux_2_28_aarch64.whl

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Release files / passagemath_pari-10.8.12rc1-cp311-cp311-macosx_13_0_x86_64.whl

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Release files / passagemath_pari-10.8.12rc1-cp311-cp311-macosx_13_0_arm64.whl

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