4. Implement the octonion simple EJA.
-5. Factor out the Jordan axiom and norm tests once all of the
- algebras pass.
+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.