diff --git a/src/benchq/magic_state_distillation/small_footprint_factories.py b/src/benchq/magic_state_distillation/small_footprint_factories.py
index 723bca17..8a6ab4e2 100644
--- a/src/benchq/magic_state_distillation/small_footprint_factories.py
+++ b/src/benchq/magic_state_distillation/small_footprint_factories.py
@@ -21,42 +21,42 @@
             "small footprint (15-to-1)_9,3,3", 3.2e-14, (18, 21), 762, 36.0
         ),
         MagicStateFactory(
-            "small footprint (15-to-1)^2_5,1,1 x (20-to-4)_11,3,5",
+            "small footprint (15-to-1)_5,1,1 x (20-to-4)_11,3,5",
             6.7e-15,
             (37, 22),
             1462,
             150.0,
         ),
         MagicStateFactory(
-            "small footprint (15-to-1)^4_5,1,3 x (20-to-4)_11,3,5",
+            "small footprint (15-to-1)_5,1,3 x (20-to-4)_11,3,5",
             1.4e-16,
             (43, 22),
             1614,
             275.1,
         ),
         MagicStateFactory(
-            "small footprint (15-to-1)^2_5,1,1 x (20-to-4)_11,5,5",
+            "small footprint (15-to-1)_5,1,1 x (20-to-4)_11,5,5",
             1.3e-17,
             (51, 22),
             1958,
             150.0,
         ),
         MagicStateFactory(
-            "small footprint (15-to-1)^2_5,1,1 x (20-to-4)_13,5,5",
+            "small footprint (15-to-1)_5,1,1 x (20-to-4)_13,5,5",
             1.8e-20,
             (51, 22),
             2350,
             150.0,
         ),
         MagicStateFactory(
-            "small footprint (15-to-1)^4_5,1,3 x (20-to-4)_15,5,5",
+            "small footprint (15-to-1)_5,1,3 x (20-to-4)_15,5,5",
             2.7e-22,
             (55, 30),
             2782,
             275.0,
         ),
         MagicStateFactory(
-            "small footprint (15-to-1)^4_5,1,3 x (20-to-4)_15,5,5",
+            "small footprint (15-to-1)_5,1,3 x (20-to-4)_15,5,5",
             3.8e-23,
             (63, 30),
             3190,