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1 1. Add references and start citing them.
2
3 2. Profile (and fix?) any remaining slow operations.
4
5 3. When we take a Cartesian product involving a trivial algebra, we
6 could easily cache the identity and charpoly coefficients using
7 the nontrivial factor. On the other hand, it's nice that we can
8 test out some alternate code paths...
9
10 4. Conjecture: if x = (x1,x2), then det(x) = det(x1)det(x2). This
11 should be used to fix the fact that det(x) is monstrously slow in
12 Cartesian product algebras, and thus randomly in the doctests.
13
14 5. Add dimension bounds on any tests over AA that compute element
15 subalgebras.