diff --git a/2024.01.16_GUAN_package_learning/GUAN_package_learning.ipynb b/2024.01.16_GUAN_package_learning/GUAN_package_learning.ipynb
index 71a9822..f258c92 100644
--- a/2024.01.16_GUAN_package_learning/GUAN_package_learning.ipynb
+++ b/2024.01.16_GUAN_package_learning/GUAN_package_learning.ipynb
@@ -178,17 +178,16 @@
     "print('\\nExample 1\\n', vector)\n",
     "print(np.dot(vector.transpose().conj(), vector), '\\n')\n",
     "\n",
-    "vector = guan.find_vector_with_fixed_gauge_by_making_one_component_real(vector, precision=0.001)\n",
+    "vector = guan.find_vector_with_fixed_gauge_by_making_one_component_real(vector)\n",
     "print(vector)\n",
     "print(np.dot(vector.transpose().conj(), vector), '\\n')\n",
     "\n",
-    "\n",
     "# Fixed gauge example 2\n",
     "vector = np.array([1, 0])*cmath.exp(np.random.uniform(0, 1)*1j)\n",
     "print('\\nExample 2\\n', vector)\n",
     "print(np.dot(vector.transpose().conj(), vector), '\\n')\n",
     "\n",
-    "vector = guan.find_vector_with_fixed_gauge_by_making_one_component_real(vector, precision=0.001)\n",
+    "vector = guan.find_vector_with_fixed_gauge_by_making_one_component_real(vector)\n",
     "print(vector)\n",
     "print(np.dot(vector.transpose().conj(), vector), '\\n')"
    ]