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* in [http://www-polsys.lip6.fr/~jcf/FGb/index.html FGb], Faugère's own implementation, which includes interfaces for using it from [[C/C++]] or [[Maple (software)|Maple]],
* in [[Maple computer algebra system]], as the option '''method=fgb''' of function '''Groebner[gbasis]''' (this is an older version of FGb, with limitations of the size of the problems that can be solved),
* in the [[Magma computer algebra system]]
* in the [[SageMath]] computer algebra system
* in [[SymPy]] [[Python (programming language)|Python]] package.
Study versions of the Faugère F5 algorithm is implemented in{{citation needed|date=February 2013}}
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