diff --git a/README.md b/README.md
index 428e990..7ad0150 100644
--- a/README.md
+++ b/README.md
@@ -37,5 +37,11 @@ uv pip install -e .
 import mega.op.function as function
 
 number: float = 5.2
-print(function.gamma(number))
+gamma_function = mega.GammaZ(number)
+print(gamma_function.compute())
 ```
+
+## benchmark information
+
+**Sigma Function**
+![sigma_z_benchmark](test/sigma_z_benchmark_vertical.png)
diff --git a/mega/op/arithmethic.pyx b/mega/op/arithmethic.pyx
index 640faee..8c3bcbe 100644
--- a/mega/op/arithmethic.pyx
+++ b/mega/op/arithmethic.pyx
@@ -114,7 +114,7 @@ cdef class SigmaZ:
         """
         Return string representation of the object
         """
-        return f"SigmaZ({self.n}, {self.z}) = {SigmaZ(self.n, self.z).compute()}"
+        return f"SigmaZ({self.n}, {self.z})"
 
 cdef class EulerPhi:
     """
@@ -238,3 +238,5 @@ cdef class EulerPhi:
 
     def __repr__(self):
         return f"EulerPhi({self.n})"
+
+
diff --git a/pyproject.toml b/pyproject.toml
index 0e5e40d..02e6052 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -11,6 +11,12 @@ dependencies = [
     "cython>=3.1.0",
     "numpy>=2.2.6",
     "pre-commit>=4.2.0",
-    "pytest>=8.3.5",
     "setuptools>=80.7.1",
 ]
+
+[dependency-groups]
+dev = [
+    "black>=25.1.0",
+    "matplotlib>=3.10.3",
+    "pytest>=8.3.5",
+]
diff --git a/test/bench/sigma_z_benchmark_vertical.png b/test/bench/sigma_z_benchmark_vertical.png
new file mode 100644
index 0000000..d08b7f9
Binary files /dev/null and b/test/bench/sigma_z_benchmark_vertical.png differ
diff --git a/uv.lock b/uv.lock
index 4ab7a70..7191bc6 100644
--- a/uv.lock
+++ b/uv.lock
@@ -1,6 +1,26 @@
 version = 1
 requires-python = ">=3.13"
 
+[[package]]
+name = "black"
+version = "25.1.0"
+source = { registry = "https://pypi.org/simple" }
+dependencies = [
+    { name = "click" },
+    { name = "mypy-extensions" },
+    { name = "packaging" },
+    { name = "pathspec" },
+    { name = "platformdirs" },
+]
+sdist = { url = "https://files.pythonhosted.org/packages/94/49/26a7b0f3f35da4b5a65f081943b7bcd22d7002f5f0fb8098ec1ff21cb6ef/black-25.1.0.tar.gz", hash = "sha256:33496d5cd1222ad73391352b4ae8da15253c5de89b93a80b3e2c8d9a19ec2666", size = 649449 }
+wheels = [
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+    { url = "https://files.pythonhosted.org/packages/cc/64/94eb5f45dcb997d2082f097a3944cfc7fe87e071907f677e80788a2d7b7a/black-25.1.0-cp313-cp313-win_amd64.whl", hash = "sha256:a22f402b410566e2d1c950708c77ebf5ebd5d0d88a6a2e87c86d9fb48afa0d18", size = 1442613 },
+    { url = "https://files.pythonhosted.org/packages/09/71/54e999902aed72baf26bca0d50781b01838251a462612966e9fc4891eadd/black-25.1.0-py3-none-any.whl", hash = "sha256:95e8176dae143ba9097f351d174fdaf0ccd29efb414b362ae3fd72bf0f710717", size = 207646 },
+]
+
 [[package]]
 name = "cfgv"
 version = "3.4.0"
@@ -10,6 +30,18 @@ wheels = [
     { url = "https://files.pythonhosted.org/packages/c5/55/51844dd50c4fc7a33b653bfaba4c2456f06955289ca770a5dbd5fd267374/cfgv-3.4.0-py2.py3-none-any.whl", hash = "sha256:b7265b1f29fd3316bfcd2b330d63d024f2bfd8bcb8b0272f8e19a504856c48f9", size = 7249 },
 ]
 
+[[package]]
+name = "click"
+version = "8.2.1"
+source = { registry = "https://pypi.org/simple" }
+dependencies = [
+    { name = "colorama", marker = "sys_platform == 'win32'" },
+]
+sdist = { url = "https://files.pythonhosted.org/packages/60/6c/8ca2efa64cf75a977a0d7fac081354553ebe483345c734fb6b6515d96bbc/click-8.2.1.tar.gz", hash = "sha256:27c491cc05d968d271d5a1db13e3b5a184636d9d930f148c50b038f0d0646202", size = 286342 }
+wheels = [
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+]
+
 [[package]]
 name = "colorama"
 version = "0.4.6"
@@ -19,6 +51,46 @@ wheels = [
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 ]
 
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