From 4d0aae306aa9f80009cbbea9088382e30df919af Mon Sep 17 00:00:00 2001
From: Michael Orlitzky <michael@orlitzky.com>
Date: Tue, 2 Mar 2021 10:20:02 -0500
Subject: [PATCH] octonions: add matrix_space() method for elements and _repr_
 for parents.

---
 mjo/octonions.py | 23 +++++++++++++++++++++++
 1 file changed, 23 insertions(+)

diff --git a/mjo/octonions.py b/mjo/octonions.py
index 352c4c5..73acf2d 100644
--- a/mjo/octonions.py
+++ b/mjo/octonions.py
@@ -445,6 +445,24 @@ class OctonionMatrix(IndexedFreeModuleElement):
         zero = self.parent().octonions().zero()
         return sum( (self[i,i] for i in range(self.nrows())), zero )
 
+    def matrix_space(self):
+        r"""
+
+        SETUP::
+
+            sage: from mjo.octonions import OctonionMatrixAlgebra
+
+        TESTS::
+
+            sage: set_random_seed()
+            sage: MS = OctonionMatrixAlgebra(2)
+            sage: MS.random_element().matrix_space()
+            Module of 2 by 2 matrices with octonion entries over the
+            scalar ring Algebraic Real Field
+
+        """
+        return self.parent()
+
 
 class OctonionMatrixAlgebra(CombinatorialFreeModule):
     r"""
@@ -483,6 +501,11 @@ class OctonionMatrixAlgebra(CombinatorialFreeModule):
                          prefix=prefix,
                          bracket='(')
 
+    def _repr_(self):
+        return ("Module of %d by %d matrices with octonion entries"
+                " over the scalar ring %s" %
+                (self.nrows(), self.ncols(), self.base_ring()) )
+
     def octonions(self):
         r"""
         Return the Octonion algebra that our elements' entries come from.
-- 
2.43.2