diff --git a/examples/test_chromadb.py b/examples/test_chromadb.py
index 5293f05d..99090a6d 100644
--- a/examples/test_chromadb.py
+++ b/examples/test_chromadb.py
@@ -17,7 +17,9 @@ if not os.path.exists(WORKING_DIR):
 # ChromaDB Configuration
 CHROMADB_USE_LOCAL_PERSISTENT = False
 # Local PersistentClient Configuration
-CHROMADB_LOCAL_PATH = os.environ.get("CHROMADB_LOCAL_PATH", os.path.join(WORKING_DIR, "chroma_data"))
+CHROMADB_LOCAL_PATH = os.environ.get(
+    "CHROMADB_LOCAL_PATH", os.path.join(WORKING_DIR, "chroma_data")
+)
 # Remote HttpClient Configuration
 CHROMADB_HOST = os.environ.get("CHROMADB_HOST", "localhost")
 CHROMADB_PORT = int(os.environ.get("CHROMADB_PORT", 8000))
diff --git a/lightrag/kg/chroma_impl.py b/lightrag/kg/chroma_impl.py
index 7b7642d6..cb3b59f1 100644
--- a/lightrag/kg/chroma_impl.py
+++ b/lightrag/kg/chroma_impl.py
@@ -67,7 +67,9 @@ class ChromaVectorDBStorage(BaseVectorStorage):
 
                 if "token_authn" in auth_provider:
                     headers = {
-                        config.get("auth_header_name", "X-Chroma-Token"): auth_credentials
+                        config.get(
+                            "auth_header_name", "X-Chroma-Token"
+                        ): auth_credentials
                     }
                 elif "basic_authn" in auth_provider:
                     auth_credentials = config.get("auth_credentials", "admin:admin")
@@ -154,7 +156,9 @@ class ChromaVectorDBStorage(BaseVectorStorage):
             embedding = await self.embedding_func([query])
 
             results = self._collection.query(
-                query_embeddings=embedding.tolist() if not isinstance(embedding, list) else embedding,
+                query_embeddings=embedding.tolist()
+                if not isinstance(embedding, list)
+                else embedding,
                 n_results=top_k * 2,  # Request more results to allow for filtering
                 include=["metadatas", "distances", "documents"],
             )
diff --git a/lightrag/types.py b/lightrag/types.py
index 35036d2f..5e3d2948 100644
--- a/lightrag/types.py
+++ b/lightrag/types.py
@@ -1,7 +1,7 @@
 from __future__ import annotations
 
 from pydantic import BaseModel
-from typing import List, Dict, Any, Optional
+from typing import Any, Optional
 
 
 class GPTKeywordExtractionFormat(BaseModel):