diff --git a/Project.toml b/Project.toml
index 848b167..497b2a2 100644
--- a/Project.toml
+++ b/Project.toml
@@ -20,7 +20,7 @@ ToeplitzMatrices = "c751599d-da0a-543b-9d20-d0a503d91d24"
 Distributions = "0.21, 0.22, 0.23, 0.24, 0.25"
 FileIO = "1"
 Interpolations = "0.12, 0.13, 0.14, 0.15"
-JLD2 = "0.4"
+JLD2 = "0.4,0.5"
 SpecialFunctions = "0.8, 0.9, 0.10, 1.0, 2"
 StaticArrays = "0.12, 1.1"
 Statistics = "1"
diff --git a/test/runtests.jl b/test/runtests.jl
index 8696042..15719b7 100644
--- a/test/runtests.jl
+++ b/test/runtests.jl
@@ -22,7 +22,7 @@ end
 
         d32 = AlphaStable(Float32.(Distributions.params(d))...)
         @test cf(d32, Float32(x)) isa Complex{Float32}
-        @test cf(d32, Float32(x)) ≈ cf(d,x) atol=100*eps(Float32)
+        @test cf(d32, Float32(x)) ≈ cf(d,x) atol=500*eps(Float32)
     end
     for _ in 1:100
         # test stability under convolution