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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-homfly provides a Cython interface to the libhomfly library.

What is included

Examples

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

In [1]: from sage.libs.homfly import homfly_polynomial_dict

In [2]: trefoil = '1 6 0 1  1 -1  2 1  0 -1  1 1  2 -1 0 1 1 1 2 1'

In [3]: homfly_polynomial_dict(trefoil)
Out[3]: {(-4, 0): -1, (-2, 0): -2, (-2, 2): 1}

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SHA256 43ac030df1368c689410d359c16782f6058fda1a7a509820cce2745c68200e64
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SHA256 78ac25bc5558404505f0dd0afe353aa836702331f1766ef4de9145c9141d35eb
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SHA256 035cd7570cdd9d0b4d3c1aef8fb925c1d63879b4efb3751b85ebae8c2fbcb46b
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SHA256 8ad883991c618f5ecfbb499ea9ccdad91b5ca6431e6311e8f6566b0bbf9c3631
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SHA256 763822abc9f14e98eada98d4661fa9038f28852661d6c21b46a6d9d724e969bc
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