+
+ ::
+
+ sage: OctonionMatrixAlgebra(3,scalars=QQ)
+ Module of 3 by 3 matrices with entries in Octonion algebra with
+ base ring Rational Field over the scalar ring Rational Field
+
+ ::
+
+ sage: O = Octonions(RR)
+ sage: A = OctonionMatrixAlgebra(1,O)
+ sage: A
+ Module of 1 by 1 matrices with entries in Octonion algebra with
+ base ring Real Field with 53 bits of precision over the scalar
+ ring Algebraic Real Field
+ sage: A.one()
+ +---------------------+
+ | 1.00000000000000*e0 |
+ +---------------------+
+ sage: A.gens()
+ (+---------------------+
+ | 1.00000000000000*e0 |
+ +---------------------+,
+ +---------------------+
+ | 1.00000000000000*e1 |
+ +---------------------+,
+ +---------------------+
+ | 1.00000000000000*e2 |
+ +---------------------+,
+ +---------------------+
+ | 1.00000000000000*e3 |
+ +---------------------+,
+ +---------------------+
+ | 1.00000000000000*e4 |
+ +---------------------+,
+ +---------------------+
+ | 1.00000000000000*e5 |
+ +---------------------+,
+ +---------------------+
+ | 1.00000000000000*e6 |
+ +---------------------+,
+ +---------------------+
+ | 1.00000000000000*e7 |
+ +---------------------+)