diff --git a/src/galois/_domains/_array.py b/src/galois/_domains/_array.py
index 21397d443..283de9d49 100644
--- a/src/galois/_domains/_array.py
+++ b/src/galois/_domains/_array.py
@@ -338,9 +338,10 @@ def compile(cls, mode: Literal["auto", "jit-lookup", "jit-calculate", "python-ca
                 - `"jit-calculate"`: JIT compiles arithmetic ufuncs to use explicit calculation. The `"jit-calculate"`
                   mode is designed for large fields that cannot or should not store lookup tables in RAM. Generally,
                   the `"jit-calculate"` mode is slower than `"jit-lookup"`.
-                - `"python-calculate"`: Uses pure-Python ufuncs with explicit calculation. This is reserved for fields
+                - `"python-calculate"`: Uses pure-Python ufuncs with explicit calculation. This is intended for fields
                   whose elements cannot be represented with :obj:`numpy.int64` and instead use :obj:`numpy.object_`
-                  with Python :obj:`int` (which has arbitrary precision).
+                  with Python :obj:`int` (which has arbitrary precision). However, this mode can be used for any
+                  field, enabling the code to run without Numba JIT compilation.
         """
         verify_isinstance(mode, str)
         if not mode in ["auto", "jit-lookup", "jit-calculate", "python-calculate"]:
diff --git a/src/galois/_fields/_array.py b/src/galois/_fields/_array.py
index 5cf847d38..9f1173f32 100644
--- a/src/galois/_fields/_array.py
+++ b/src/galois/_fields/_array.py
@@ -510,9 +510,10 @@ def compile(cls, mode: Literal["auto", "jit-lookup", "jit-calculate", "python-ca
                 - `"jit-calculate"`: JIT compiles arithmetic ufuncs to use explicit calculation. The `"jit-calculate"`
                   mode is designed for large fields that cannot or should not store lookup tables in RAM. Generally,
                   the `"jit-calculate"` mode is slower than `"jit-lookup"`.
-                - `"python-calculate"`: Uses pure-Python ufuncs with explicit calculation. This is reserved for fields
+                - `"python-calculate"`: Uses pure-Python ufuncs with explicit calculation. This is intended for fields
                   whose elements cannot be represented with :obj:`numpy.int64` and instead use :obj:`numpy.object_`
-                  with Python :obj:`int` (which has arbitrary precision).
+                  with Python :obj:`int` (which has arbitrary precision). However, this mode can be used for any
+                  field, enabling the code to run without Numba JIT compilation.
 
         Group:
             Arithmetic compilation
diff --git a/src/galois/_fields/_factory.py b/src/galois/_fields/_factory.py
index a09638dfb..caf19b1b9 100644
--- a/src/galois/_fields/_factory.py
+++ b/src/galois/_fields/_factory.py
@@ -100,9 +100,10 @@ def GF(
             - `"jit-calculate"`: JIT compiles arithmetic ufuncs to use explicit calculation. The `"jit-calculate"`
               mode is designed for large fields that cannot or should not store lookup tables in RAM. Generally, the
               `"jit-calculate"` mode is slower than `"jit-lookup"`.
-            - `"python-calculate"`: Uses pure-Python ufuncs with explicit calculation. This is reserved for fields
-              whose elements cannot be represented with :obj:`numpy.int64` and instead use :obj:`numpy.object_` with
-              Python :obj:`int` (which has arbitrary precision).
+            - `"python-calculate"`: Uses pure-Python ufuncs with explicit calculation. This is intended for fields
+              whose elements cannot be represented with :obj:`numpy.int64` and instead use :obj:`numpy.object_`
+              with Python :obj:`int` (which has arbitrary precision). However, this mode can be used for any
+              field, enabling the code to run without Numba JIT compilation.
 
         repr: The field element representation. This can be modified after class construction with the
             :func:`~galois.FieldArray.repr` method. See :doc:`/basic-usage/element-representation` for a further