-8. In fact, could my octonion matrix algebra be generalized for any
- algebra of matrices over the reals whose entries are not real? Then
- we wouldn't need real embeddings at all. They might even be fricking
- vector spaces if I did that...
+6. Figure out how to make OctonionHermitianEJA a RationalBasisEJA,
+ and then convert the complex/quaternion algebras to avoid real-
+ (un)embeddings.
+
+7. Every once in a long while, the test
+
+ sage: set_random_seed()
+ sage: x = random_eja().random_element()
+ sage: x.is_invertible() == (x.det() != 0)