X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=mjo%2Feja%2FTODO;h=1def3d2e9fd8cf381ae743344ce670a13f226438;hb=cc172fbdcd369542f90cf64e31611cf8698bc05a;hp=b8ceda8fa3defcb3df1a5641ab03eed28c910ee9;hpb=0ed6dd869beb5fecd91e3653243e9c899b12c36b;p=sage.d.git

diff --git a/mjo/eja/TODO b/mjo/eja/TODO
index b8ceda8..1def3d2 100644
--- a/mjo/eja/TODO
+++ b/mjo/eja/TODO
@@ -1,19 +1,20 @@
-A. Add tests for orthogonality in the Peirce decomposition.
+1. Add references and start citing them.
 
-B. Add support for a symmetric positive-definite bilinear form in
-   the JordanSpinEJA.
+2. Profile (and fix?) any remaining slow operations.
 
-1. Add CartesianProductEJA.
+3. Every once in a long while, the test
 
-2. Check the axioms in the constructor when check != False?
+       sage: set_random_seed()
+       sage: x = random_eja().random_element()
+       sage: x.is_invertible() == (x.det() != 0)
 
-3. Add references and start citing them.
+   in eja_element.py returns False. Example:
 
-4. Implement the octonion simple EJA.
-
-5. Factor out the unit-norm basis (and operator symmetry) tests once
-   all of the algebras pass.
-
-6. Can we make the minimal and characteristic polynomial tests work
-   for trivial algebras, too? Then we wouldn't need the "nontrivial"
-   argument to random_eja().
+       sage: J1 = ComplexHermitianEJA(2)
+       sage: J2 = TrivialEJA()
+       sage: J = cartesian_product([J1,J2])
+       sage: x = J.from_vector(vector(QQ, [-1, -1/2, -1/2, -1/2]))
+       sage: x.is_invertible()
+       True
+       sage: x.det()
+       0