-0. Add tests for orthogonality in the Peirce decomposition.
+1. Add references and start citing them.
-1. Add CartesianProductEJA.
+2. Profile (and fix?) any remaining slow operations.
-2. Check the axioms in the constructor when check != False?
+3. When we take a Cartesian product involving a trivial algebra, we
+ could easily cache the identity and charpoly coefficients using
+ the nontrivial factor. On the other hand, it's nice that we can
+ test out some alternate code paths...
-3. Add references and start citing them.
+4. Add dimension bounds on any tests over AA that compute element
+ subalgebras.
-4. Implement the octonion simple EJA.
-
-5. Factor out the unit-norm basis (and operator symmetry) tests once
- all of the algebras pass.
-
-6. Rename the algebra "characteristic polynomial" method to
- "characteristic polynomial of."
+5. The rational_algebra() stuff doesn't really belong in classes that
+ don't derive from RationalBasisEJA or its as-yet-nonexistent
+ element class.