1. Add references and start citing them.

2. Pre-cache charpoly for some more algebras.

3. Profile the construction of "large" matrix algebras (like the
   15-dimensional QuaternionHermitianAlgebra(3)) to find out why
   they're so slow.

4. What the ever-loving fuck is this shit?

       sage: O = Octonions(QQ)
       sage: e0 = O.monomial(0)
       sage: e0*[[[[]]]]
       [[[[]]]]*e0

5. 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)

   in eja_element.py returns False.