"""
Return the Euclidean Jordan Algebra corresponding to the set
`R^n` under the Hadamard product.
+
+ EXAMPLES:
+
+ This multiplication table can be verified by hand::
+
+ sage: J = eja_rn(3)
+ sage: e0,e1,e2 = J.gens()
+ sage: e0*e0
+ e0
+ sage: e0*e1
+ 0
+ sage: e0*e2
+ 0
+ sage: e1*e1
+ e1
+ sage: e1*e2
+ 0
+ sage: e2*e2
+ e2
+
"""
# The FiniteDimensionalAlgebra constructor takes a list of
# matrices, the ith representing right multiplication by the ith