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Plotting fundamental domains of modular subgroups from generators and cusp widths

asked 2012-09-01 01:36:43 -0500

Jimeree gravatar image

I have a number of genus zero, index 24 modular subgroups (some congruence, some not). For each of these subgroups, I have the cusp widths, and a set of generators as explicit 2x2 matrices. How can I use these to plot the fundamental domain for each group? I suspect a lot of this material is in the KFarey package, but I'm having trouble putting it all together.


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Try posting to the sage-support google group, you might get some experts that read that list to respond.

benjaminfjones gravatar imagebenjaminfjones ( 2012-09-01 18:02:29 -0500 )edit

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answered 2016-10-01 07:43:09 -0500

John Cremona gravatar image

By issuing the command "search_src("fundamental_domain") I found several examples to follow all from the modular/arithgroup/farey_symbol module so I suggest looking at that.

Probably not a useful answer 4 years later though.

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Asked: 2012-09-01 01:36:43 -0500

Seen: 165 times

Last updated: Oct 01 '16