On Monday or Wed., I think I'd like to show my intro number theory
course a cool new result we would have no hope of actually examining,
but whose result they can understand - the Barnet-Lamb/Geraghty/Harris/
Taylor result on number of ways to write a prime as a sum of twelve
squares, which relies on the Fundamental Lemma.  (I like pointing out
Fields Medal -related work in my classes if I can, as long as the
statement of the results is comprehensible.)

Problem is, I don't have a convenient (non-slow) "sum of twelve
squares" function handy in Sage.  I thought maybe some Sato-Tate
experts could advise me how to modify some of the stuff at
sage.math.washington.edu/sato-tate/ to show this - preferably,
directly with input n (and then making a histogram for primes less
than n, with @interact).

Thanks in advance!

- kcrisman

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