the nontrivial factor. On the other hand, it's nice that we can
test out some alternate code paths...
-4. Can we hit "x" with the deortho matrix and delegate to the
- _rational_algebra to speed up minimal_polynomial?
+4. Add dimension bounds on any tests over AA that compute element
+ subalgebras.
-5. In CartesianProductEJA we already know the multiplication table and
- inner product matrix. Refactor things until it's no longer
- necessary to duplicate that work.
+5. The rational_algebra() stuff doesn't really belong in classes that
+ don't derive from RationalBasisEJA or its as-yet-nonexistent
+ element class.
+
+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.