I wrote a blogpost about a picture that I made, but don't understand: https://pbelmans.ncag.info/blog/2018/12/26/toric-scatterplot/ … Do you?pic.twitter.com/G5mHWmucTa
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I don't have (and should, and will add it to my todolist now) generic code for dealing with plots like this, or contextualizing them/coloring them with respect to SL(2,Z), and I need to think about this in the meantime: http://www.glslsandbox.com/e#42524.0
this is preliminary and nightmarish, and I'll see about polishing it shortly, but it at least has some plausible next steps for you, @pbelmans:
http://owen.maresh.info/roots.html
Thanks! I can't work with automorphic forms myself, but the plots of roots of low-degree polynomials you linked should already explain some of the features of the plot. You can see the degree 6 polynomials at https://github.com/pbelmans/ehrhart-polynomials-toric-fanos/blob/master/dimension-6.gp …, if you want to try something yourself.
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