X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=mjo%2Feja%2FTODO;h=cbe1d95801e9a098b36c75cf2548da460750ac03;hb=04250b1b2355e0f2540340a0191734f00cdaf332;hp=f0901ca91b793debc4877a8ee5a670d240fa51fc;hpb=f1ddf1e9eee634161aad87b9c2de0194efb17879;p=sage.d.git

diff --git a/mjo/eja/TODO b/mjo/eja/TODO
index f0901ca..cbe1d95 100644
--- a/mjo/eja/TODO
+++ b/mjo/eja/TODO
@@ -32,6 +32,11 @@
 
 8. Pre-cache charpoly for some small algebras?
 
+RealSymmetricEJA(4):
+
+sage: F = J.base_ring()
+sage: a0 = (1/4)*X[4]**2*X[6]**2 - (1/2)*X[2]*X[5]*X[6]**2 - (1/2)*X[3]*X[4]*X[6]*X[7] + (F(2).sqrt()/2)*X[1]*X[5]*X[6]*X[7] + (1/4)*X[3]**2*X[7]**2 - (1/2)*X[0]*X[5]*X[7]**2 + (F(2).sqrt()/2)*X[2]*X[3]*X[6]*X[8] - (1/2)*X[1]*X[4]*X[6*X[8] - (1/2)*X[1]*X[3]*X[7]*X[8] + (F(2).sqrt()/2)*X[0]*X[4]*X[7]*X[8] + (1/4)*X[1]**2*X[8]**2 - (1/2)*X[0]*X[2]*X[8]**2 - (1/2)*X[2]*X[3]**2*X[9] + (F(2).sqrt()/2)*X[1]*X[3]*X[4]*X[9] - (1/2)*X[0]*X[4]**2*X[9] - (1/2)*X[1]**2*X[5]*X[9] + X[0]*X[2]*X[5]*X[9]
+
 9. Compute the scalar in the general natural_inner_product() for
    matrices, so no overrides are necessary.
 
@@ -40,3 +45,13 @@
 
 11. Figure out if CombinatorialFreeModule's use of IndexedGenerators
     can be used to replace the matrix_basis().
+
+12. Don't pass in an n-by-n multiplication/i-p table since only the
+    lower-left half is used.
+
+13. Move the "field" argument to a keyword after basis, jp, and ip.
+
+14. Instead of storing the multiplication and inner-product tables in
+    RationalBasisEuclideanJordanAlgebra, why not just create the
+    algebra over QQ in the constructor and save that? They're globally
+    unique, so we won't wind up with multiple copies.