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. Create Element subclasses for the matrix EJAs, and then override
- their characteristic_polynomial() method to create a new algebra
- over the rationals (with a non-normalized basis). We can then
- compute the charpoly quickly by passing the natural representation
- of the given element into the new algebra and computing its charpoly
- there. (Relies on the theory to ensure that the charpolys are equal.)
\ No newline at end of file
+6. Refactor the current ungodly fast charpoly hack (relies on the
+ theory to ensure that the charpolys are equal.)
+
+7. Implement random_instance() for the main EJA class.
+
+8. Implement random_instance() for the subalgebra class.