ASKSAGE: Sage Q&A Forum - RSS feedhttps://ask.sagemath.org/questions/Q&A Forum for SageenCopyright Sage, 2010. Some rights reserved under creative commons license.Sat, 01 Oct 2016 14:43:09 +0200Plotting fundamental domains of modular subgroups from generators and cusp widthshttps://ask.sagemath.org/question/9283/plotting-fundamental-domains-of-modular-subgroups-from-generators-and-cusp-widths/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.
Thanks!Sat, 01 Sep 2012 08:36:43 +0200https://ask.sagemath.org/question/9283/plotting-fundamental-domains-of-modular-subgroups-from-generators-and-cusp-widths/Comment by benjaminfjones for <p>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 <em>KFarey</em> package, but I'm having trouble putting it all together.</p>
<p>Thanks!</p>
https://ask.sagemath.org/question/9283/plotting-fundamental-domains-of-modular-subgroups-from-generators-and-cusp-widths/?comment=19127#post-id-19127Try posting to the sage-support google group, you might get some experts that read that list to respond.Sun, 02 Sep 2012 01:02:29 +0200https://ask.sagemath.org/question/9283/plotting-fundamental-domains-of-modular-subgroups-from-generators-and-cusp-widths/?comment=19127#post-id-19127Answer by John Cremona for <p>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 <em>KFarey</em> package, but I'm having trouble putting it all together.</p>
<p>Thanks!</p>
https://ask.sagemath.org/question/9283/plotting-fundamental-domains-of-modular-subgroups-from-generators-and-cusp-widths/?answer=35005#post-id-35005By 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.Sat, 01 Oct 2016 14:43:09 +0200https://ask.sagemath.org/question/9283/plotting-fundamental-domains-of-modular-subgroups-from-generators-and-cusp-widths/?answer=35005#post-id-35005