mjo/eja/TODO

   1 1. Add references and start citing them.
   2
   3 2. Profile (and fix?) any remaining slow operations.
   4
   5 3. Every once in a long while, the test
   6
   7        sage: set_random_seed()
   8        sage: x = random_eja().random_element()
   9        sage: x.is_invertible() == (x.det() != 0)
  10
  11    in eja_element.py returns False. Example:
  12
  13        sage: J1 = ComplexHermitianEJA(2)
  14        sage: J2 = TrivialEJA()
  15        sage: J = cartesian_product([J1,J2])
  16        sage: x = J.from_vector(vector(QQ, [-1, -1/2, -1/2, -1/2]))
  17        sage: x.is_invertible()
  18        True
  19        sage: x.det()
  20        0
  21
  22 4. When we take a Cartesian product involving a trivial algebra, we
  23    could easily cache the identity and charpoly coefficients using
  24    the nontrivial factor. On the other hand, it's nice that we can
  25    test out some alternate code paths...