Added suggestions from code review

Author: OP5642

src/sage/topology/simplicial_complex.py

@@ -4852,11 +4852,15 @@ def bigraded_betti_numbers(self, base_ring=ZZ, verbose=False):
 
         INPUT:
 
-        - ``base_ring`` -- (optional, default ``ZZ``) the base ring used
+        - ``base_ring`` -- (default: ``ZZ``) the base ring used
           when computing homology
-        - ``verbose`` -- (optional, default ``False``) if ``True``, print
-          messages during the computation, which indicate in which subcomplexes
-          non-trivial homologies appear
+        - ``verbose`` -- (default: ``False``) if ``True``, print
+          messages during the computation, which indicate in which
+          subcomplexes non-trivial homologies appear
+
+        .. NOTE::
+
+            If ``verbose`` is ``True``, then caching is avoided.
 
         .. SEEALSO::
 
@@ -4940,11 +4944,15 @@ def bigraded_betti_number(self, a, b, base_ring=ZZ, verbose=False):
 
         INPUT:
 
-        - ``base_ring`` -- (optional, default ``ZZ``) the base ring used
+        - ``base_ring`` -- (default: ``ZZ``) the base ring used
           when computing homology
-        - ``verbose`` -- (optional, default ``False``) if ``True``, print
-          messages during the computation, which indicate in which subcomplexes
-          non-trivial homologies appear
+        - ``verbose`` -- (default: ``False``) if ``True``, print
+          messages during the computation, which indicate in which
+          subcomplexes non-trivial homologies appear
+
+        .. NOTE::
+
+            If ``verbose`` is ``True``, then caching is avoided.
 
         EXAMPLES::
 
@@ -4966,9 +4974,12 @@ def bigraded_betti_number(self, a, b, base_ring=ZZ, verbose=False):
             0
             sage: Y = SimplicialComplex([[1,2,3],[1,2,4],[3,5],[4,5]])
             sage: Y.bigraded_betti_number(-1, 4, verbose=True)
-            Non-trivial homology Z in dimension 0 of the full subcomplex generated by a set of vertices (1, 5)
-            Non-trivial homology Z in dimension 0 of the full subcomplex generated by a set of vertices (2, 5)
-            Non-trivial homology Z in dimension 0 of the full subcomplex generated by a set of vertices (3, 4)
+            Non-trivial homology Z in dimension 0 of the full subcomplex
+            generated by a set of vertices (1, 5)
+            Non-trivial homology Z in dimension 0 of the full subcomplex
+            generated by a set of vertices (2, 5)
+            Non-trivial homology Z in dimension 0 of the full subcomplex
+            generated by a set of vertices (3, 4)
             3
         """
         if b % 2: