eja: really fix that test from the last commit.

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

diff --git a/mjo/eja/eja_algebra.py b/mjo/eja/eja_algebra.py
index 3b64ddd7374d8931f80fdefe4b0fb1734b682995..ee34e532fa7f4efb3d5aa7d89001f0430f2df52d 100644 (file)
--- a/mjo/eja/eja_algebra.py
+++ b/mjo/eja/eja_algebra.py
@@ -568,7 +568,8 @@ class FiniteDimensionalEJA(CombinatorialFreeModule):
 
         SETUP::
 
-            sage: from mjo.eja.eja_algebra import (JordanSpinEJA,
+            sage: from mjo.eja.eja_algebra import (random_eja,
+            ....:                                  JordanSpinEJA,
             ....:                                  HadamardEJA,
             ....:                                  RealSymmetricEJA)
 
@@ -601,18 +602,13 @@ class FiniteDimensionalEJA(CombinatorialFreeModule):
 
         TESTS:
 
-        Ensure that we can convert any element of the two non-matrix
-        simple algebras (whose matrix representations are columns)
-        back and forth faithfully::
+        Ensure that we can convert any element back and forth
+        faithfully between its matrix and algebra representations::
 
             sage: set_random_seed()
-            sage: J = HadamardEJA.random_instance()
-            sage: x = J.random_element()
-            sage: J(x.to_vector().column()) == x
-            True
-            sage: J = JordanSpinEJA.random_instance()
+            sage: J = random_eja()
             sage: x = J.random_element()
-            sage: J(x.to_vector().column()) == x
+            sage: J(x.to_matrix()) == x
             True
 
         We cannot coerce elements between algebras just because their
@@ -628,7 +624,6 @@ class FiniteDimensionalEJA(CombinatorialFreeModule):
             Traceback (most recent call last):
             ...
             ValueError: not an element of this algebra
-
         """
         msg = "not an element of this algebra"
         if elt in self.base_ring():