-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. Add special det/trace method overrides for the algebras where we
+ know them? The only reason this might be tricky is because the
+ obvious solution is to subclass EJAElement, but then we might
+ collide with e.g. the Cartesian product element subclass.