-4. Implement the octonion simple EJA.
-
-5. Factor out the unit-norm basis (and operator symmetry) tests once
- all of the algebras pass.
-
-6. Refactor the current ungodly fast charpoly hack (relies on the
- theory to ensure that the charpolys are equal.)
-
-7. If we factor out a "matrix algebra" class, then it would make sense
- to replace the custom embedding/unembedding functions with static
- _real_embedding() and _real_unembedding() methods.