diff --git a/P/Polynomials/Compat.toml b/P/Polynomials/Compat.toml
index 7552a03702c4939..46682fb05221cc4 100644
--- a/P/Polynomials/Compat.toml
+++ b/P/Polynomials/Compat.toml
@@ -41,10 +41,10 @@ julia = "1.6.0-1"
 ["3.2.5-4"]
 MakieCore = "0.6"
 
-["3.2.6-4"]
+["3.2.6-4.0.1"]
 ChainRulesCore = "1"
 
-["3.2.9-4"]
+["3.2.9-4.0.1"]
 MutableArithmetics = "1"
 
 [4]
diff --git a/P/Polynomials/Deps.toml b/P/Polynomials/Deps.toml
index 42eb69f908bce90..e501f11af3cccf4 100644
--- a/P/Polynomials/Deps.toml
+++ b/P/Polynomials/Deps.toml
@@ -23,10 +23,10 @@ MutableArithmetics = "d8a4904e-b15c-11e9-3269-09a3773c0cb0"
 ["3.2.5-4"]
 MakieCore = "20f20a25-4f0e-4fdf-b5d1-57303727442b"
 
-["3.2.6-4"]
+["3.2.6-4.0.1"]
 ChainRulesCore = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
 
-["3.2.9-4"]
+["3.2.9-4.0.1"]
 MutableArithmetics = "d8a4904e-b15c-11e9-3269-09a3773c0cb0"
 
 [4]
diff --git a/P/Polynomials/Versions.toml b/P/Polynomials/Versions.toml
index 4e425b67d41b448..907cb30b8d00c57 100644
--- a/P/Polynomials/Versions.toml
+++ b/P/Polynomials/Versions.toml
@@ -246,3 +246,6 @@ git-tree-sha1 = "0c4d270ea4c88cd01552458f34f65e784581c873"
 
 ["4.0.1"]
 git-tree-sha1 = "6ded5b759921314670b726dc6ce479675046bc04"
+
+["4.0.2"]
+git-tree-sha1 = "af8c8b863adb84abacb9a87822a778a3982901e1"
diff --git a/P/Polynomials/WeakCompat.toml b/P/Polynomials/WeakCompat.toml
index e98aa8645a3c41c..4dd3f4c286b1ed0 100644
--- a/P/Polynomials/WeakCompat.toml
+++ b/P/Polynomials/WeakCompat.toml
@@ -4,3 +4,6 @@ MakieCore = "0.6"
 
 ["3.2.9-4"]
 MutableArithmetics = "1"
+
+["4.0.2-4"]
+FFTW = "1"
diff --git a/P/Polynomials/WeakDeps.toml b/P/Polynomials/WeakDeps.toml
index 4a5dda40594af24..bbda235938cd7ab 100644
--- a/P/Polynomials/WeakDeps.toml
+++ b/P/Polynomials/WeakDeps.toml
@@ -4,3 +4,6 @@ MakieCore = "20f20a25-4f0e-4fdf-b5d1-57303727442b"
 
 ["3.2.9-4"]
 MutableArithmetics = "d8a4904e-b15c-11e9-3269-09a3773c0cb0"
+
+["4.0.2-4"]
+FFTW = "7a1cc6ca-52ef-59f5-83cd-3a7055c09341"