eja: update a TODO with a better idea.

diff --git a/mjo/eja/TODO b/mjo/eja/TODO
index 9f805373809bf077261973885e4c403af6cfa101..427a9539bb69aa4ab25e0687f0336a09377d57e0 100644 (file)
--- a/mjo/eja/TODO
+++ b/mjo/eja/TODO
@@ -16,7 +16,9 @@ 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]
 
 5. Compute the scalar in the general natural_inner_product() for
-   matrices, so no overrides are necessary.
+   matrices, so no overrides are necessary. Actually, this is
+   probably better implemented as a dimension_over_reals() method
+   that returns 1, 2, or 4.
 
 6. The main EJA element constructor is happy to convert between
    e.g. HadamardEJA(3) and JordanSpinEJA(3).