Hi!

There seems to be an extension for Polymake that can compute
simplicial homology.

Quoted from http://www.math.tu-berlin.de/polymake/external.html
   homology
   by Frank Heckenbach, Uni Erlangen-Nürnberg
   An efficient program computing homology groups of simplicial
complexes.

Unfortunately, the link that they give (apparently the home page of
Heckenbach) is broken.

Cheers,
  Simon

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