diff --git a/evolution_cultures_year.ipynb b/evolution_cultures_year.ipynb
index 0f49c06f95add0a1b225a5d1eab0444fc2c4b57c..afd2ae5fa8f3d08436fd3951727697f160afe899 100644
--- a/evolution_cultures_year.ipynb
+++ b/evolution_cultures_year.ipynb
@@ -123,9 +123,33 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 6,
+   "execution_count": 7,
    "metadata": {},
    "outputs": [
+    {
+     "output_type": "display_data",
+     "data": {
+      "image/png": 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\n",
+      "text/plain": "<IPython.core.display.Image object>"
+     },
+     "metadata": {}
+    },
+    {
+     "output_type": "display_data",
+     "data": {
+      "image/png": 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\n",
+      "text/plain": "<IPython.core.display.Image object>"
+     },
+     "metadata": {}
+    },
+    {
+     "output_type": "display_data",
+     "data": {
+      "image/png": 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\n",
+      "text/plain": "<IPython.core.display.Image object>"
+     },
+     "metadata": {}
+    },
     {
      "output_type": "display_data",
      "data": {