Since I have started to package this myself I should explain what it does.

The HAP package can compute Homolgy and persistent Homology. See
https://www.gap-system.org/Manuals/pkg/hap-1.25/www/SideLinks/About/twoTutorials.html

Another tool that might be able to do that is singular. I do however
find HAP easier to use.

Sincerely,

Joachim

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