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https://github.com/homalg-project/loopintegrals

Compute master integrals using commutative and noncommutative methods from computational algebraic geometry
https://github.com/homalg-project/loopintegrals

feynman-integrals gap homalg ibp-relations master-integrals noncommutative-methods

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Compute master integrals using commutative and noncommutative methods from computational algebraic geometry

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# LoopIntegrals [![View code][code-img]][code-url]

### Compute master integrals using commutative and noncommutative methods from computational algebraic geometry

| Documentation | Latest Release | Build Status | Code Coverage |
| ------------- | -------------- | ------------ | ------------- |
| [![HTML stable documentation][html-img]][html-url] [![PDF stable documentation][pdf-img]][pdf-url] | [![version][version-img]][version-url] [![date][date-img]][date-url] | [![Build Status][tests-img]][tests-url] | [![Code Coverage][codecov-img]][codecov-url] |

### About

The [GAP](https://www.gap-system.org/) package `LoopIntegrals` is an ongoing work to compute master integrals using commutative and noncommutative methods from computational algebraic geometry.

---

### Dependencies

To obtain current versions of all dependencies, `git clone` (or `git pull` to update) the following repositories:

| | Repository | git URL |
|--- | ---------- | ------- |
| 1. | [**homalg_project**](https://github.com/homalg-project/homalg_project#readme) | https://github.com/homalg-project/homalg_project.git |

[html-img]: https://img.shields.io/badge/πŸ”—%20HTML-stable-blue.svg
[html-url]: https://homalg-project.github.io/LoopIntegrals/doc/chap0_mj.html

[pdf-img]: https://img.shields.io/badge/πŸ”—%20PDF-stable-blue.svg
[pdf-url]: https://homalg-project.github.io/LoopIntegrals/download_pdf.html

[version-img]: https://img.shields.io/endpoint?url=https://homalg-project.github.io/LoopIntegrals/badge_version.json&label=πŸ”—%20version&color=yellow
[version-url]: https://homalg-project.github.io/LoopIntegrals/view_release.html

[date-img]: https://img.shields.io/endpoint?url=https://homalg-project.github.io/LoopIntegrals/badge_date.json&label=πŸ”—%20released%20on&color=yellow
[date-url]: https://homalg-project.github.io/LoopIntegrals/view_release.html

[tests-img]: https://github.com/homalg-project/LoopIntegrals/actions/workflows/Tests.yml/badge.svg?branch=master
[tests-url]: https://github.com/homalg-project/LoopIntegrals/actions/workflows/Tests.yml?query=branch%3Amaster

[codecov-img]: https://codecov.io/gh/homalg-project/LoopIntegrals/branch/master/graph/badge.svg
[codecov-url]: https://app.codecov.io/gh/homalg-project/LoopIntegrals

[code-img]: https://img.shields.io/badge/-View%20code-blue?logo=github
[code-url]: https://github.com/homalg-project/LoopIntegrals#top