{
  "cells": [
    {
      "cell_type": "markdown",
      "id": "cd24f0b2",
      "metadata": {
        "id": "cd24f0b2"
      },
      "source": [
        "# MAC0209 - Modelagem e Simulação\n",
        "\n",
        "Pynamical: Demo of logistic map and bifurcation diagrams\n",
        "\n",
        "Author: Geoff Boeing\n",
        "\n",
        "Adapted and modified by: R. Hirata Jr., Artur André, Roberto. M. Cesar Jr to be used in MAC0209\n",
        "\n",
        "Leia o artigo completo aqui:\n",
        "http://geoffboeing.com/2015/03/chaos-theory-logistic-map/"
      ]
    },
    {
      "cell_type": "markdown",
      "id": "c8416889",
      "metadata": {
        "id": "c8416889"
      },
      "source": [
        "## MAC0209 - Modelagem e Simulação"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "id": "9a995a45",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "9a995a45",
        "outputId": "f8941c59-b415-4aee-d782-ffe3e6280ab8"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Looking in indexes: https://pypi.org/simple, https://us-python.pkg.dev/colab-wheels/public/simple/\n",
            "Collecting pynamical==0.3.1\n",
            "  Downloading pynamical-0.3.1-py2.py3-none-any.whl (9.6 kB)\n",
            "Requirement already satisfied: matplotlib>=3.3 in /usr/local/lib/python3.10/dist-packages (from pynamical==0.3.1) (3.7.1)\n",
            "Requirement already satisfied: numba>=0.52 in /usr/local/lib/python3.10/dist-packages (from pynamical==0.3.1) (0.56.4)\n",
            "Requirement already satisfied: numpy>=1.19 in /usr/local/lib/python3.10/dist-packages (from pynamical==0.3.1) (1.22.4)\n",
            "Requirement already satisfied: pandas>=1.2 in /usr/local/lib/python3.10/dist-packages (from pynamical==0.3.1) (1.5.3)\n",
            "Requirement already satisfied: contourpy>=1.0.1 in /usr/local/lib/python3.10/dist-packages (from matplotlib>=3.3->pynamical==0.3.1) (1.0.7)\n",
            "Requirement already satisfied: cycler>=0.10 in /usr/local/lib/python3.10/dist-packages (from matplotlib>=3.3->pynamical==0.3.1) (0.11.0)\n",
            "Requirement already satisfied: fonttools>=4.22.0 in /usr/local/lib/python3.10/dist-packages (from matplotlib>=3.3->pynamical==0.3.1) (4.39.3)\n",
            "Requirement already satisfied: kiwisolver>=1.0.1 in /usr/local/lib/python3.10/dist-packages (from matplotlib>=3.3->pynamical==0.3.1) (1.4.4)\n",
            "Requirement already satisfied: packaging>=20.0 in /usr/local/lib/python3.10/dist-packages (from matplotlib>=3.3->pynamical==0.3.1) (23.1)\n",
            "Requirement already satisfied: pillow>=6.2.0 in /usr/local/lib/python3.10/dist-packages (from matplotlib>=3.3->pynamical==0.3.1) (8.4.0)\n",
            "Requirement already satisfied: pyparsing>=2.3.1 in /usr/local/lib/python3.10/dist-packages (from matplotlib>=3.3->pynamical==0.3.1) (3.0.9)\n",
            "Requirement already satisfied: python-dateutil>=2.7 in /usr/local/lib/python3.10/dist-packages (from matplotlib>=3.3->pynamical==0.3.1) (2.8.2)\n",
            "Requirement already satisfied: llvmlite<0.40,>=0.39.0dev0 in /usr/local/lib/python3.10/dist-packages (from numba>=0.52->pynamical==0.3.1) (0.39.1)\n",
            "Requirement already satisfied: setuptools in /usr/local/lib/python3.10/dist-packages (from numba>=0.52->pynamical==0.3.1) (67.7.2)\n",
            "Requirement already satisfied: pytz>=2020.1 in /usr/local/lib/python3.10/dist-packages (from pandas>=1.2->pynamical==0.3.1) (2022.7.1)\n",
            "Requirement already satisfied: six>=1.5 in /usr/local/lib/python3.10/dist-packages (from python-dateutil>=2.7->matplotlib>=3.3->pynamical==0.3.1) (1.16.0)\n",
            "Installing collected packages: pynamical\n",
            "Successfully installed pynamical-0.3.1\n",
            "Looking in indexes: https://pypi.org/simple, https://us-python.pkg.dev/colab-wheels/public/simple/\n",
            "Requirement already satisfied: imageio in /usr/local/lib/python3.10/dist-packages (2.25.1)\n",
            "Requirement already satisfied: numpy in /usr/local/lib/python3.10/dist-packages (from imageio) (1.22.4)\n",
            "Requirement already satisfied: pillow>=8.3.2 in /usr/local/lib/python3.10/dist-packages (from imageio) (8.4.0)\n"
          ]
        }
      ],
      "source": [
        "!python -m pip install pynamical==0.3.1\n",
        "!python -m pip install imageio"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "id": "a63cb2ab",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "a63cb2ab",
        "outputId": "e251076e-14c9-4f32-e521-4b914aebc428"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "pynamical version: 0.3.1\n",
            "matplotlib version: 3.7.1\n",
            "numpy version: 1.22.4\n"
          ]
        }
      ],
      "source": [
        "from pynamical import logistic_map, simulate, bifurcation_plot\n",
        "import pynamical\n",
        "import numpy as np\n",
        "\n",
        "import matplotlib.pyplot as plt\n",
        "import matplotlib\n",
        "plt.rcParams.update({'font.size': 22})\n",
        "\n",
        "print(f\"pynamical version: {pynamical.__version__}\")\n",
        "print(f\"matplotlib version: {matplotlib.__version__}\")\n",
        "print(f\"numpy version: {np.__version__}\")\n"
      ]
    },
    {
      "cell_type": "markdown",
      "id": "06aad775",
      "metadata": {
        "id": "06aad775"
      },
      "source": [
        "# Apenas para recapitular, aqui temos o diagrama de bifurcação, para o mapa logístico, gerado pelo pacote pynamical."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "id": "6f66570b",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "6f66570b",
        "outputId": "6de9d73e-ba7f-47ed-b079-c822a9a26e14"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
            "/usr/local/lib/python3.10/dist-packages/pynamical/pynamical.py:439: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n",
            "  xy_points = xy_points.append(pd.DataFrame({\"x\": rate, \"y\": pops[rate]}))\n",
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        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1000x600 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        "pops = simulate(model=logistic_map, num_gens=100, rate_min=0, rate_max=4, num_rates=1000, num_discard=100)\n",
        "bifurcation_plot(pops)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "id": "7b5a59fa",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 397
        },
        "id": "7b5a59fa",
        "outputId": "b9bcd943-e30d-4684-8b2d-10f0d8ac66a4"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Últimos valores de população:\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1500x300 with 1 Axes>"
            ],
            "image/png": 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          },
          "metadata": {}
        }
      ],
      "source": [
        "xini = 0.3\n",
        "r = 3.429\n",
        "x = [xini]\n",
        "for _ in range(100):\n",
        "    x.append(logistic_map(x[-1], r))\n",
        "\n",
        "plt.figure(figsize=(15,3))\n",
        "plt.plot(list(range(0,len(x))), x[0:])\n",
        "plt.title(\"r = 3.429\");\n",
        "plt.xlabel('Geração')\n",
        "plt.ylabel('População')\n",
        "print(f\"Últimos valores de população:\")"
      ]
    },
    {
      "cell_type": "markdown",
      "id": "e63d3e21",
      "metadata": {
        "id": "e63d3e21"
      },
      "source": [
        "# Ao usarmos uma taxa de crescimento $r = 3.429$ observamos um comportamento periódico (com 2 valores) da população $x$ ao longo das iterações do mapa logístico após uma certa iteração."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "id": "6f3f282c",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 468
        },
        "id": "6f3f282c",
        "outputId": "a1ecec45-3348-49c3-ed83-1da723766e32"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Últimos valores de população:\n",
            "x[9996] = 0.8468095286369087\n",
            "x[9997] = 0.4448206842531463\n",
            "x[9998] = 0.8468095286369081\n",
            "x[9999] = 0.44482068425314786\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1500x300 with 1 Axes>"
            ],
            "image/png": 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          },
          "metadata": {}
        }
      ],
      "source": [
        "xini = 0.5\n",
        "r = 3.429\n",
        "x = [logistic_map(xini, r)]\n",
        "for _ in range(10000):\n",
        "    x.append(logistic_map(x[-1], r))\n",
        "\n",
        "plt.figure(figsize=(15,3))\n",
        "plt.scatter(list(range(9900,len(x))), x[9900:])\n",
        "plt.title(\"r = 3.429\");\n",
        "plt.xlabel('Geração')\n",
        "plt.ylabel('População')\n",
        "print(f\"Últimos valores de população:\")\n",
        "print(f\"x[9996] = {x[9996]}\")\n",
        "print(f\"x[9997] = {x[9997]}\")\n",
        "print(f\"x[9998] = {x[9998]}\")\n",
        "print(f\"x[9999] = {x[9999]}\")"
      ]
    },
    {
      "cell_type": "markdown",
      "id": "5224432a",
      "metadata": {
        "id": "5224432a"
      },
      "source": [
        "# Exercícios\n",
        "\n",
        "Consulte a descrição dos exercícios nos slides da aula sobre Caos."
      ]
    },
    {
      "cell_type": "markdown",
      "id": "97dee97e",
      "metadata": {
        "id": "97dee97e"
      },
      "source": [
        "## Sistema de EDOs acopladas\n",
        "\n",
        "Para solucionar as equações de Lorenz (nos exercícios) podemos usar o método de Euler também. No caso precisaremos resolver um sistema de equações da forma:\n",
        "\n",
        "\n",
        "\n",
        "$$\\frac{dx}{dt} = xy - x$$\n",
        "\n",
        "$$\\frac{dy}{dt} = y - xy + sin^2(\\omega t)$$\n",
        "\n",
        "- As equações acima foram baseadas nesta [apresentação](https://www.if.ufrj.br/~sandra/MetComp/2020-1e/Aula11/Aula11.pdf) da Profa. Dra. Sandra Amato.\n",
        "\n",
        "Abaixo temos uma possivel implementação do método de Euler para resolver esse sistema de EDOs acopladas:"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "id": "9a9b5a2c",
      "metadata": {
        "id": "9a9b5a2c"
      },
      "outputs": [],
      "source": [
        "# funcoes genericas que podem ser re-usadas em outros problemas\n",
        "\n",
        "import math\n",
        "import matplotlib.pyplot as pyplot\n",
        "import numpy as np\n",
        "import matplotlib as mpl\n",
        "from mpl_toolkits.mplot3d import Axes3D\n",
        "\n",
        "\n",
        "# funcoes base para implementar o Euler. \n",
        "# Deve-se implementar a funcao rates, que depende de cada modelo.\n",
        "\n",
        "def initStateVector(s):\n",
        "    return np.array(s)\n",
        "\n",
        "def updateStateVectorEuler(s,dt):\n",
        "    return s + rates(s,dt)\n",
        "\n",
        "# State Vector Trajectories store state space evolution. Uses list to init empty.\n",
        "\n",
        "def initSVTrajectory():\n",
        "    return []\n",
        "\n",
        "# append s a svt\n",
        "def updateSVTrajectory(svt,s):\n",
        "    svt.append(s)\n",
        "    return svt\n",
        "\n",
        "def extractSVTrajectory(svt,i): # returns the trajectory as numpy array\n",
        "    foo = np.array(svt)\n",
        "    return foo[:,i]\n",
        "  \n",
        "def plotEuler(vxe, vtime):\n",
        "    fig, ax = pyplot.subplots()\n",
        "    pyplot.plot(vtime, vxe, label='Euler',linestyle='',marker='o') \n",
        "    pyplot.title('Posição')\n",
        "    ax.set_xlabel('Tempo (segundos)')\n",
        "    ax.set_ylabel('Posição (metros)')\n",
        "    pyplot.show(block=False)\n",
        "    \n",
        "def erroTrajetorias(v1,v2,tipoErro):\n",
        "    if (tipoErro == 0): # erro com sinal\n",
        "        return(np.array(v1) - np.array(v2))\n",
        "    elif (tipoErro == 1): # erro quadratico\n",
        "        return((np.array(v1) - np.array(v2))**2)\n",
        "    elif (tipoErro == 2): # erro em modulo\n",
        "        return(fabs((np.array(v1) - np.array(v2))))\n",
        "    \n",
        "\n",
        "def easyPlot(v,title):\n",
        "    pyplot.figure()\n",
        "    pyplot.plot(v)\n",
        "    pyplot.title(title)\n",
        "    pyplot.show()\n",
        "\n",
        "def easyPlot2D(x,y,title):\n",
        "    pyplot.figure()\n",
        "    pyplot.plot(x,y,'*')\n",
        "    pyplot.title(title)\n",
        "    pyplot.show()\n",
        "    \n",
        "def easyPlot3D(x,y,z,title,xl,yl,zl):\n",
        "    mpl.rcParams['legend.fontsize'] = 10\n",
        "    fig = pyplot.figure()\n",
        "    ax = fig.gca(projection='3d')\n",
        "    ax.plot(x, y, z, label=title)\n",
        "    ax.set_xlabel(xl)\n",
        "    ax.set_ylabel(yl)\n",
        "    ax.set_zlabel(zl)\n",
        "    ax.legend()\n",
        "    pyplot.show()\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "id": "db4ea459",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "db4ea459",
        "outputId": "2836c0e8-c9c4-40f4-cafc-3e4ecc368e3b"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        "# Euler:\n",
        "def rates(s,dt):\n",
        "    omega = 0.115\n",
        "    x1 = dt*(s[0]*s[1]-s[0]) # +x0\n",
        "    y1 = dt*(s[1]-s[0]*s[1] + np.sin(omega*s[2])**2) # +y0\n",
        "    r0 = x1 \n",
        "    r1 = y1 \n",
        "    r2 = dt \n",
        "    return np.array([r0,r1,r2])\n",
        "\n",
        "def main():\n",
        "    t=0\n",
        "    tf = 10\n",
        "    dt = 0.1\n",
        "    x0 = 1.2\n",
        "    y0 = 3.1\n",
        "    \n",
        "    # state vector: [position x, position y, time t]\n",
        "    stateVectorEuler = initStateVector([x0,y0,t])\n",
        "    \n",
        "    \n",
        "    svtEuler = initSVTrajectory() \n",
        "    \n",
        "    while (stateVectorEuler[2] < tf):    \n",
        "        svtvEuler        = updateSVTrajectory(svtEuler,list(stateVectorEuler))\n",
        "        stateVectorEuler = updateStateVectorEuler(stateVectorEuler,dt)\n",
        "        #print(stateVectorEuler)\n",
        "        #break\n",
        "\n",
        "    vx = extractSVTrajectory(svtEuler,0)\n",
        "    vy = extractSVTrajectory(svtEuler,1)\n",
        "\n",
        "    vtime = extractSVTrajectory(svtEuler,2)\n",
        "\n",
        "    easyPlot2D(vtime, vx, 't, x')\n",
        "    easyPlot2D(vtime, vy, 't, y')\n",
        "    easyPlot2D(vx, vy, 'x, y')\n",
        "\n",
        " \n",
        "\n",
        "main() "
      ]
    },
    {
      "cell_type": "markdown",
      "id": "77384dc2",
      "metadata": {
        "id": "77384dc2"
      },
      "source": [
        "\n",
        "## Mapa logístico / Diagrama de bifurcação / Cobweb\n",
        "\n",
        "1. Gere um gráfico de cobweb (figura c) no quadro branco) para o mapa logístico. Dica: Consulte a página do [pynamical](https://github.com/gboeing/pynamical)\n",
        "2. Agora usando o `matplotlib.pyplot.scatter` gere o diagrama de bifurcação apenas para um subconjunto de gerações de $x_{min}$ até $x_{max}$ depois convergência ao ponto fixo,\teg. $x_{9000}$ até $x_{10000}$. Por exemplo, para $r = 3.429$ após 9996 iterações notamos que $x_n$ onde $n \\in [9996, ...]$, basicamente assume os valores $0.8468095286369081$ e $0.44482068425314786$, ou seja, para este $r$ o mapa de bifurcação teria 2 pontos no eixo vertical.\n",
        "\n"
      ]
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        "## Equações de Lorenz\n",
        "\n",
        "1. Usando o método de Euler resolva numéricamente as equações de Lorenz:\n",
        "$$\\frac{dx}{dt} = \\sigma(y-x)$$\n",
        "$$\\frac{dy}{dt} = x(\\rho - z) - z$$\n",
        "$$\\frac{dz}{dt} = xy - \\beta z$$\n",
        "    \n",
        "2. Gere os 4 tipos de gráficos (ilustrados no quadro branco à direita a) b) c) e d)):\n",
        "    - a) $x(t), y(t), z(t)$\n",
        "    - b) $x \\times y$, $x \\times z$, $y \\times z$\n",
        "    - c) $x \\times y \\times z$\n",
        "    - d) $x$, $x \\times t$, $x$, $z \\times t$, $y$, $z \\times t$\n",
        "  "
      ]
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      "source": [
        "### Como gabarito, vamos escolher alguns valores para as constantes $\\sigma = 10, \\rho = 28$ e $\\beta = 8/3$.\n",
        "### como condições de contorno: $x_0 = 0, y_0 = 1$ e $z_0 = 0$\n",
        "### e vamos iterar do tempo $t = 0$ até $t = 50$ com um passo $dt = 0.01$.\n",
        "\n",
        "### Para esta situação obtemos os gráficos abaixo para $x \\times t$ e para $z \\times x$:"
      ]
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      "source": [
        "# Mapas de Henon\n",
        "\n",
        "\n",
        "Implemente o modelo de mapas de Henon, conforme o exercício 3 mostrado nos slides da aula. \n",
        "\n",
        "Crie também o  Mapa de bifurcações do modelo de Henon como o mapa logístico"
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