diff --git a/API_Reference/API_Reference.py b/API_Reference/API_Reference.py
index b174c62..9eb0e2f 100644
--- a/API_Reference/API_Reference.py
+++ b/API_Reference/API_Reference.py
@@ -132,7 +132,7 @@ vector_array = guan.find_vector_array_with_fixed_gauge_by_making_one_component_r
 
 vector1, vector2 = guan.rotation_of_degenerate_vectors(vector1, vector2, index1, index2, precision=0.01, criterion=0.01, show_theta=0)
 
-vector1_array, vector2_array = guan.rotation_of_degenerate_vectors_array(vector1_array, vector2_array, index1, index2, precision=0.01, criterion=0.01, show_theta=0)
+vector1_array, vector2_array = guan.rotation_of_degenerate_vectors_array(vector1_array, vector2_array, precision=0.01, criterion=0.01, show_theta=0)
 
 
 
diff --git a/PyPI/setup.cfg b/PyPI/setup.cfg
index 61063f6..bb08a0e 100644
--- a/PyPI/setup.cfg
+++ b/PyPI/setup.cfg
@@ -1,7 +1,7 @@
 [metadata]
 # replace with your username:
 name = guan
-version = 0.0.68
+version = 0.0.69
 author = guanjihuan
 author_email = guanjihuan@163.com
 description = An open source python package
diff --git a/PyPI/src/guan/__init__.py b/PyPI/src/guan/__init__.py
index 07ec3e7..9b2d24a 100644
--- a/PyPI/src/guan/__init__.py
+++ b/PyPI/src/guan/__init__.py
@@ -615,7 +615,7 @@ def rotation_of_degenerate_vectors(vector1, vector2, index1, index2, precision=0
                 break
     return vector1, vector2
 
-def rotation_of_degenerate_vectors_array(vector1_array, vector2_array, index1, index2, precision=0.01, criterion=0.01, show_theta=0):
+def rotation_of_degenerate_vectors_array(vector1_array, vector2_array, precision=0.01, criterion=0.01, show_theta=0):
     import guan
     Num_k = np.array(vector1_array).shape[0]
     vector1_sum = 0