1. Add CartesianProductEJA. 2. Add references and start citing them. 3. Implement the octonion simple EJA. 4. Factor out the unit-norm basis (and operator symmetry) tests once all of the algebras pass. 5. Override inner_product(), _max_test_case_size(), et cetera in DirectSumEJA. 6. Switch to QQ in *all* algebras for _charpoly_coefficients(). This only works when we know that the basis can be rationalized... which is the case at least for the concrete EJAs we provide, but not in general. 7. Pass already_echelonized (default: False) and echelon_basis (default: None) into the subalgebra constructor. The value of already_echelonized can be passed to V.span_of_basis() to save some time, and usinf e.g. FreeModule_submodule_with_basis_field we may somehow be able to pass the echelon basis straight in to save time. This may require supporting "basis" as a list of basis vectors (as opposed to superalgebra elements) in the subalgebra constructor.