+ The minimal polynomial is invariant under a change of basis,
+ and in particular, a re-scaling of the basis::
+
+ sage: set_random_seed()
+ sage: n_max = RealSymmetricEJA._max_test_case_size()
+ sage: n = ZZ.random_element(1, n_max)
+ sage: J1 = RealSymmetricEJA(n,QQ)
+ sage: J2 = RealSymmetricEJA(n,QQ,normalize_basis=False)
+ sage: X = random_matrix(QQ,n)
+ sage: X = X*X.transpose()
+ sage: x1 = J1(X)
+ sage: x2 = J2(X)
+ sage: x1.minimal_polynomial() == x2.minimal_polynomial()
+ True
+