diff --git a/test/poly.jl b/test/poly.jl
index a5553aa..50c736a 100644
--- a/test/poly.jl
+++ b/test/poly.jl
@@ -108,5 +108,26 @@
         )
         @test_throws err t(y => 1)
         @test_throws err p(y => 1)
+
+        @complex_polyvar z
+        pc = z^3 + 2real(z) - 7imag(z^4)
+        @test pc(z => 2 + 3im) == 798 + 9im
+        @test pc(conj(z) => 2 - 3im) == 798 + 9im
+        @test real(pc)(z => 2 + 3im) == 798
+        err = ArgumentError(
+            "Variable `zᵢ` was not assigned a value. Use `subs` to substitute only a subset of the variables.",
+        )
+        @test_throws err real(pc)(real(z) => 2)
+        @test subs(real(pc), real(z) => 2) ==
+              12 - 224imag(z) - 6imag(z)^2 + 56imag(z)^3
+        @test real(pc)([real(z), imag(z)] => [2, 3]) == 798
+        err = ErrorException(
+            "Found complex variable with substitution of real part - not implemented",
+        )
+        @test_throws err subs(pc, real(z) => 2)
+        err = ErrorException(
+            "Found complex variable with substitution of imaginary part - not implemented",
+        )
+        @test_throws err subs(pc, imag(z) => 3)
     end
 end