eja: normalize the real symmetric matrix basis.

[sage.d.git] / mjo / eja / eja_subalgebra.py

diff --git a/mjo/eja/eja_subalgebra.py b/mjo/eja/eja_subalgebra.py
index 2318d12bfd0ebbfc765ca74766af9ab0e73ce02c..646da2fb8b649c11baa226833085c26564d75d46 100644 (file)
--- a/mjo/eja/eja_subalgebra.py
+++ b/mjo/eja/eja_subalgebra.py
@@ -342,20 +342,20 @@ class FiniteDimensionalEuclideanJordanElementSubalgebra(FiniteDimensionalEuclide
         EXAMPLES::
 
             sage: J = RealSymmetricEJA(3)
-            sage: x = sum( i*J.gens()[i] for i in range(6) )
+            sage: x = J.monomial(0) + 2*J.monomial(2) + 5*J.monomial(5)
             sage: K = FiniteDimensionalEuclideanJordanElementSubalgebra(x)
             sage: K.vector_space()
-            Vector space of degree 6 and dimension 3 over Rational Field
+            Vector space of degree 6 and dimension 3 over...
             User basis matrix:
             [ 1  0  1  0  0  1]
-            [ 0  1  2  3  4  5]
-            [10 14 21 19 31 50]
+            [ 1  0  2  0  0  5]
+            [ 1  0  4  0  0 25]
             sage: (x^0).to_vector()
             (1, 0, 1, 0, 0, 1)
             sage: (x^1).to_vector()
-            (0, 1, 2, 3, 4, 5)
+            (1, 0, 2, 0, 0, 5)
             sage: (x^2).to_vector()
-            (10, 14, 21, 19, 31, 50)
+            (1, 0, 4, 0, 0, 25)
 
         """
         return self._vector_space