HW_12_CAPM.ipynb

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        "## Capital Asset Pricing Model (CAPM)\n",
        "\n",
        "### Assignment due Monday 22 April at noon\n",
        "\n",
        "---"
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        "### Objectives\n",
        "\n",
        "This assignment is primarily meant to refresh your numpy and pandas skills.  \n",
        "Technical objectives are discussed below.  \n",
        "\n",
        "- All the usual rules apply:  you may work together (groups of at most 3), make sure all names are easy to find at the top of the submission, submit the link to your working colab notebook\n",
        "\n",
        "\n",
        "### Background\n",
        "\n",
        "In finance, CAPM is a single-factor regression model used for analyzing (and predicting) excess stock returns. There are better, more accurate models, but it has its uses. For example, the *market beta* is a useful output which has something to do with the risk of particular investments.\n",
        "\n",
        "1.  Read [this brief synopsis](https://en.wikipedia.org/wiki/Capital_asset_pricing_model) of CAPM.\n",
        "\n",
        "\n",
        "Don't worry if you don't understand all the terminology.\n",
        "Look for a moment at the main formula (in the \"Formula\" section).  For us that formula will look like this:\n",
        "\n",
        "\\begin{aligned}\n",
        "E(R_A) = R_f + \\beta_A (E(R_{SP}) - R_f)\n",
        "\\end{aligned}\n",
        "\n",
        "Some notes on the symbols in this formula:\n",
        "- The formula is used to estimate $E(R_A)$.  The $E$ here stands for the expected value, and $R_A$ is the rate of return of the investment $A$.\n",
        "- To use this formula, you therefore need to know the values of the other variables.\n",
        "- The variable $R_f$ is the \"risk-free rate,\" which is the amount of return you can get on an investment that has zero risk, like say a bank account.\n",
        "This quantity changes over time but for our purposes we can treat it as a constant.  It is hard-coded into the code below.  Make sure you see where this variable occurs in the formula above.\n",
        "- In this assignment the variable $R_{SP}$ is a measure of the rate of return of the overall market.  (The $E$ on the right side also means expected value.)\n",
        "- The variable $\\beta_A$ measures something about the relative risk of the investment A, relative to the overall market.  The technical objective of this assignment will be to compute $\\beta_A$ below, and then to examine how sensitive it is to the specific data.\n",
        "- The value you get for $\\beta_A$ will be a number.  If it is greater than 1, it means (*very roughly*) that the investment A is more volatile than the overall market.  If it is less than 1, it means that the investment is less volatile than the overall market.  But **do not take this too seriously!** In particular see all the caveats at the wikipedia page.\n",
        "- The A investment in our example is an individual stock (Apple).\n",
        "\n"
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        "2.  Load the packages and data.  (Note that the following code chunk also hard-codes the constant $R_f$.)  \n",
        "The data lives in the file `capm_market_data` in the `data` folder on the `GitHub` site."
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        "import numpy as np\n",
        "import pandas as pd\n",
        "\n",
        "data = pd.read_csv(\"capm_market_data.csv\")\n",
        "df = pd.DataFrame(data)\n",
        "\n",
        "R_f = 0.0175 / 252"
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            }
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          "metadata": {},
          "execution_count": 2
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      ]
    },
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      "cell_type": "markdown",
      "metadata": {
        "id": "PLXAZx6xf1ph"
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      "source": [
        "3.  Look at some records.  \n",
        "SPY is something that mirrors the S&P 500 (\"the market\").  \n",
        "AAPL is the code for Apple stock.  \n",
        "The values are closing prices, adjusted for splits and dividends."
      ]
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    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "747y_ickf1ph"
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      "source": []
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    {
      "cell_type": "markdown",
      "metadata": {
        "id": "y8uzBoHpf1ph"
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      "source": [
        "4.  Drop the date column"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 3,
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          "height": 424
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          "data": {
            "text/plain": [
              "     spy_adj_close  aapl_adj_close\n",
              "0       321.555786      298.829956\n",
              "1       319.120911      295.924713\n",
              "2       320.338379      298.282715\n",
              "3       319.437653      296.879883\n",
              "4       321.140106      301.655548\n",
              "..             ...             ...\n",
              "130     314.380005      383.010010\n",
              "131     317.589996      383.679993\n",
              "132     314.839996      381.910004\n",
              "133     318.920013      388.230011\n",
              "134     321.850006      390.899994\n",
              "\n",
              "[135 rows x 2 columns]"
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            "application/vnd.google.colaboratory.intrinsic+json": {
              "type": "dataframe",
              "variable_name": "df",
              "summary": "{\n  \"name\": \"df\",\n  \"rows\": 135,\n  \"fields\": [\n    {\n      \"column\": \"spy_adj_close\",\n      \"properties\": {\n        \"dtype\": \"number\",\n        \"std\": 26.803930691894642,\n        \"min\": 221.973190307617,\n        \"max\": 334.888397216797,\n        \"num_unique_values\": 134,\n        \"samples\": [\n          313.779998779297,\n          263.968383789062,\n          310.812225341797\n        ],\n        \"semantic_type\": \"\",\n        \"description\": \"\"\n      }\n    },\n    {\n      \"column\": \"aapl_adj_close\",\n      \"properties\": {\n        \"dtype\": \"number\",\n        \"std\": 37.18680338863012,\n        \"min\": 223.764266967773,\n        \"max\": 390.899993896484,\n        \"num_unique_values\": 134,\n        \"samples\": [\n          372.690002441406,\n          258.729614257813,\n          323.339996337891\n        ],\n        \"semantic_type\": \"\",\n        \"description\": \"\"\n      }\n    }\n  ]\n}"
            }
          },
          "metadata": {},
          "execution_count": 3
        }
      ],
      "source": [
        "df = df.drop(columns=\"date\")\n",
        "df"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "fyE1w8F2f1ph"
      },
      "source": [
        "5.  Compute daily returns (percentage changes in price) for both SPY and AAPL.\n",
        "(Be sure to drop the first row of NaN.)  \n",
        "Hint: pandas has functions to easily do this.  \n",
        "Print the first 5 rows of returns.\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 4,
      "metadata": {
        "id": "8aCLOA08f1pi",
        "outputId": "276acf4f-69a5-4c2a-e2ce-641123ce4741",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 206
        }
      },
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "   spy_adj_close  aapl_adj_close\n",
              "1      -0.007572       -0.009722\n",
              "2       0.003815        0.007968\n",
              "3      -0.002812       -0.004703\n",
              "4       0.005330        0.016086\n",
              "5       0.006781        0.021241"
            ],
            "text/html": [
              "\n",
              "  <div id=\"df-cde901ed-d871-4d00-8816-531f30413729\" class=\"colab-df-container\">\n",
              "    <div>\n",
              "<style scoped>\n",
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              "        vertical-align: middle;\n",
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              "\n",
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              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>spy_adj_close</th>\n",
              "      <th>aapl_adj_close</th>\n",
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              "  <tbody>\n",
              "    <tr>\n",
              "      <th>1</th>\n",
              "      <td>-0.007572</td>\n",
              "      <td>-0.009722</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2</th>\n",
              "      <td>0.003815</td>\n",
              "      <td>0.007968</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>3</th>\n",
              "      <td>-0.002812</td>\n",
              "      <td>-0.004703</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>4</th>\n",
              "      <td>0.005330</td>\n",
              "      <td>0.016086</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>5</th>\n",
              "      <td>0.006781</td>\n",
              "      <td>0.021241</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
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              "    .colab-df-buttons div {\n",
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              "      fill: #D2E3FC;\n",
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              "        google.colab.kernel.accessAllowed ? 'block' : 'none';\n",
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              "      async function convertToInteractive(key) {\n",
              "        const element = document.querySelector('#df-cde901ed-d871-4d00-8816-531f30413729');\n",
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              "                                                    [key], {});\n",
              "        if (!dataTable) return;\n",
              "\n",
              "        const docLinkHtml = 'Like what you see? Visit the ' +\n",
              "          '<a target=\"_blank\" href=https://colab.research.google.com/notebooks/data_table.ipynb>data table notebook</a>'\n",
              "          + ' to learn more about interactive tables.';\n",
              "        element.innerHTML = '';\n",
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              "        await google.colab.output.renderOutput(dataTable, element);\n",
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              "    </g>\n",
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              "  </button>\n",
              "\n",
              "<style>\n",
              "  .colab-df-quickchart {\n",
              "      --bg-color: #E8F0FE;\n",
              "      --fill-color: #1967D2;\n",
              "      --hover-bg-color: #E2EBFA;\n",
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              "      --disabled-fill-color: #AAA;\n",
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              "  }\n",
              "\n",
              "  [theme=dark] .colab-df-quickchart {\n",
              "      --bg-color: #3B4455;\n",
              "      --fill-color: #D2E3FC;\n",
              "      --hover-bg-color: #434B5C;\n",
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              "      --disabled-bg-color: #3B4455;\n",
              "      --disabled-fill-color: #666;\n",
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              "\n",
              "  .colab-df-quickchart {\n",
              "    background-color: var(--bg-color);\n",
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              "    height: 32px;\n",
              "    padding: 0;\n",
              "    width: 32px;\n",
              "  }\n",
              "\n",
              "  .colab-df-quickchart:hover {\n",
              "    background-color: var(--hover-bg-color);\n",
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              "    fill: var(--button-hover-fill-color);\n",
              "  }\n",
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              "  .colab-df-quickchart-complete:disabled,\n",
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              "    animation:\n",
              "      spin 1s steps(1) infinite;\n",
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              "      border-bottom-color: var(--fill-color);\n",
              "    }\n",
              "  }\n",
              "</style>\n",
              "\n",
              "  <script>\n",
              "    async function quickchart(key) {\n",
              "      const quickchartButtonEl =\n",
              "        document.querySelector('#' + key + ' button');\n",
              "      quickchartButtonEl.disabled = true;  // To prevent multiple clicks.\n",
              "      quickchartButtonEl.classList.add('colab-df-spinner');\n",
              "      try {\n",
              "        const charts = await google.colab.kernel.invokeFunction(\n",
              "            'suggestCharts', [key], {});\n",
              "      } catch (error) {\n",
              "        console.error('Error during call to suggestCharts:', error);\n",
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              "      quickchartButtonEl.classList.remove('colab-df-spinner');\n",
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              "        document.querySelector('#df-000b63c9-6810-4b93-8a33-43ea4d3afc37 button');\n",
              "      quickchartButtonEl.style.display =\n",
              "        google.colab.kernel.accessAllowed ? 'block' : 'none';\n",
              "    })();\n",
              "  </script>\n",
              "</div>\n",
              "\n",
              "    </div>\n",
              "  </div>\n"
            ],
            "application/vnd.google.colaboratory.intrinsic+json": {
              "type": "dataframe",
              "variable_name": "daily_returns",
              "summary": "{\n  \"name\": \"daily_returns\",\n  \"rows\": 134,\n  \"fields\": [\n    {\n      \"column\": \"spy_adj_close\",\n      \"properties\": {\n        \"dtype\": \"number\",\n        \"std\": 0.02724878659615489,\n        \"min\": -0.10942372612033846,\n        \"max\": 0.0906032658439917,\n        \"num_unique_values\": 134,\n        \"samples\": [\n          -0.010313796371464456,\n          0.03356838536664242,\n          0.013308214608889646\n        ],\n        \"semantic_type\": \"\",\n        \"description\": \"\"\n      }\n    },\n    {\n      \"column\": \"aapl_adj_close\",\n      \"properties\": {\n        \"dtype\": \"number\",\n        \"std\": 0.032339188517779796,\n        \"min\": -0.12864694811089883,\n        \"max\": 0.1198082504878697,\n        \"num_unique_values\": 134,\n        \"samples\": [\n          -0.0031028584811332305,\n          0.0255946767016757,\n          0.005505037420229675\n        ],\n        \"semantic_type\": \"\",\n        \"description\": \"\"\n      }\n    }\n  ]\n}"
            }
          },
          "metadata": {},
          "execution_count": 4
        }
      ],
      "source": [
        "daily_returns = df[['spy_adj_close', 'aapl_adj_close']].pct_change().dropna()\n",
        "daily_returns.head()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "qA51CJQUf1pi"
      },
      "source": [
        "6.  Save the SPY and AAPL returns into separate numpy arrays.  \n",
        "Print the first five values from each of the two arrays.\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 5,
      "metadata": {
        "id": "uTx4aa7of1pi",
        "outputId": "8b4c32f3-265d-4c07-fe73-30aab78d64dd",
        "colab": {
          "base_uri": "https://localhost:8080/"
        }
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[321.55578613 319.12091064 320.33837891 319.43765259 321.1401062 ]\n",
            "[298.82995605 295.92471313 298.28271484 296.87988281 301.6555481 ]\n"
          ]
        }
      ],
      "source": [
        "spy_returns = df['spy_adj_close'].to_numpy()\n",
        "aapl_returns = df['aapl_adj_close'].to_numpy()\n",
        "\n",
        "print(spy_returns[:5])\n",
        "print(aapl_returns[:5])"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "SO4C0unXf1pi"
      },
      "source": [
        "7.  Make arrays (one for SPY, one for AAPL) containing the *excess* returns by subtracting the constant $R_f$ from the returns.  \n",
        "(Recall that $R_f$ is the \"risk-free rate\" meaning essentially that you could earn this much in interest if you didn't invest in anything.)  \n",
        "Print the LAST five excess returns from both SPY and AAPL numpy arrays."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 6,
      "metadata": {
        "id": "o8XOunw5f1pi",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "7ca02ff2-ce0e-426d-aecf-87790b89ab79"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[314.37993544 317.58992689 314.83992689 318.91994398 321.84993666]\n",
            "[383.00994032 383.67992323 381.90993422 388.22994154 390.89992445]\n"
          ]
        }
      ],
      "source": [
        "spy_excess_returns = np.array(spy_returns) - R_f\n",
        "aapl_excess_returns = np.array(aapl_returns) - R_f\n",
        "\n",
        "print(spy_excess_returns[-5:])\n",
        "print(aapl_excess_returns[-5:])"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "-DUdB1GGf1pi"
      },
      "source": [
        "8. Make a scatterplot with SPY excess returns on the $x$-axis and AAPL excess returns on the $y$-axis.  \n",
        "If you need it, here is the [Matplotlib documentation]( https://matplotlib.org/stable/api/_as_gen/matplotlib.pyplot.scatter.html)."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 9,
      "metadata": {
        "id": "ucDTjQOmf1pi",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 449
        },
        "outputId": "09ddf692-76a4-4a12-defe-9534bfc105dd"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        "import matplotlib.pyplot as plt\n",
        "\n",
        "plt.scatter(spy_excess_returns, aapl_excess_returns)\n",
        "plt.xlabel('SPY Excess Returns')\n",
        "plt.ylabel('AAPL Excess Returns')\n",
        "\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "LCJPl-d9f1pi"
      },
      "source": [
        "The value of $\\beta_A$ is computed from the arrays you built in problem 7, via a formula that uses some statistical functions called the \"variance\" and the \"covariance.\"\n",
        "\n",
        "Any individual 1-d array of numbers has a variance, which you can compute using `numpy`'s function `var()` (documented [here](https://numpy.org/doc/stable/reference/generated/numpy.var.html)).  This is a number.\n",
        "\n",
        "If you have two 1-d arrays of the same length, they collectively have something called a covariance which `numpy` also can compute using `cov()` (documented [here](https://numpy.org/doc/stable/reference/generated/numpy.cov.html)).\n",
        "\n",
        "The covariance is also a number, but look at what happens when you send two 1-d arrays to `cov()`: it returns a $2\\times 2$ matrix.  (Try it!)  The covariance we are looking for is the number that lives in both the top right and the bottom left of this matrix.  (Those two numbers should be the same.)  The top left and bottom right entries of the covariance matrix also have meaning, but we don't need them.\n",
        "\n"
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "9. Use `numpy` functions as described above to compute the estimate of $\\beta_A$, using the following formula:  \n",
        "\\begin{aligned} \\beta_A= \\frac{ \\text{cov}(A,SP) }{ \\text{var}(SP) } \\end{aligned}\n",
        "In our context, A will be the 1-d array you made in problem 7 for AAPL, and SP will be the 1-d array you made for SPY."
      ],
      "metadata": {
        "id": "bb0j7Vi7quGp"
      }
    },
    {
      "cell_type": "code",
      "execution_count": 10,
      "metadata": {
        "id": "blGso0pMf1pj",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "3bc569c2-8f90-4f2b-c699-24fd76e4b46f"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "1.0452160639554555\n"
          ]
        }
      ],
      "source": [
        "A = np.array([aapl_excess_returns])\n",
        "SP = np.array([spy_excess_returns])\n",
        "\n",
        "cov_A_SP = np.cov(A, SP)[0][1]\n",
        "var_SP = np.var(SP)\n",
        "\n",
        "beta_A = cov_A_SP/var_SP\n",
        "print(beta_A)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "02POpgABf1pj"
      },
      "source": [
        "You should have found that the beta estimate is greater than one.  \n",
        "This means that the volatility of AAPL stock, given the data, and according to this particular (flawed) model,\n",
        "is higher than the volatility of the S&P 500.\n",
        "\n",
        "Bonus:  Is this something you can see on the plot you made?\n",
        "\n"
      ]
    },
    {
      "cell_type": "markdown",
      "source": [],
      "metadata": {
        "id": "aeLasrWag1S4"
      }
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "5jCGs8igf1pj"
      },
      "source": [
        "Finally, let's look at how sensitive the beta is to each data point.   \n",
        "We want to drop each data point (one at a time), compute \\\\(\\hat\\beta_i\\\\) using our formula from above, and save each measurement.\n",
        "\n",
        "This is called *jackknifing*.\n",
        "\n"
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "10. Write a function called `beta_sensitivity()` with these specs:\n",
        "\n",
        "- take numpy arrays `x` and `y` as inputs\n",
        "- outputs a list of tuples, so that each tuple contains (observation row dropped, beta estimate)\n",
        "\n",
        "Hint: **np.delete(x, i).reshape(-1,1)** will delete observation i from array x, and make it a column vector"
      ],
      "metadata": {
        "id": "VhlkawRDeV8Z"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "def beta_sensitivity(x, y):\n",
        "  beta_estimates = []\n",
        "  for i in range(x.shape[0]):\n",
        "    x_drop_i = np.delete(x, i).reshape(-1, 1)\n",
        "    y_drop_i = np.delete(y, i)\n",
        "    beta_i = x_drop_i/y_drop_i\n",
        "    beta_estimates.append((i, beta_i))\n",
        "\n",
        "  return beta_estimates\n",
        "\n",
        "x = np.array([spy_excess_returns]).reshape(-1, 1)\n",
        "y = np.array([aapl_excess_returns])\n",
        "beta_sensitivity(x, y)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "Z44Fa0NfgoUb",
        "outputId": "adda950b-ba5d-4f98-bce8-9d128b6ddfdf"
      },
      "execution_count": 11,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[(0,\n",
              "  array([[1.07838549, 1.06986057, 1.07491593, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.0824996 , 1.07394216, 1.07901681, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         [1.07945583, 1.07092246, 1.07598283, ..., 0.83642125, 0.82280512,\n",
              "          0.81718507],\n",
              "         ...,\n",
              "         [1.06391926, 1.0555087 , 1.06049624, ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.07770661, 1.06918706, 1.07423924, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.08760775, 1.07900993, 1.08410853, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (1,\n",
              "  array([[1.07604939, 1.07802355, 1.08311748, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.07197547, 1.07394216, 1.07901681, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         [1.0689613 , 1.07092246, 1.07598283, ..., 0.83642125, 0.82280512,\n",
              "          0.81718507],\n",
              "         ...,\n",
              "         [1.05357577, 1.0555087 , 1.06049624, ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.06918706, 1.07423924, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.07900993, 1.08410853, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (2,\n",
              "  array([[1.07604939, 1.08661351, 1.08311748, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.07491593, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.0689613 , 1.07945583, 1.07598283, ..., 0.83642125, 0.82280512,\n",
              "          0.81718507],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.06049624, ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.07423924, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.08410853, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (3,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (4,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (5,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (6,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (7,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (8,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (9,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (10,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (11,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (12,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (13,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (14,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (15,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (16,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (17,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (18,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (19,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (20,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (21,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (22,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (23,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (24,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (25,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (26,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (27,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (28,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (29,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (30,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (31,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (32,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (33,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (34,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (35,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (36,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (37,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (38,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (39,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (40,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (41,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (42,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (43,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (44,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (45,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (46,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (47,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (48,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (49,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (50,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (51,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (52,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (53,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (54,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (55,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (56,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (57,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (58,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (59,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (60,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (61,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (62,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (63,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (64,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (65,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (66,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (67,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (68,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (69,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (70,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (71,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (72,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (73,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (74,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (75,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (76,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (77,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (78,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (79,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (80,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (81,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (82,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (83,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (84,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (85,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (86,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (87,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (88,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (89,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (90,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (91,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (92,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (93,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (94,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (95,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (96,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (97,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (98,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (99,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (100,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (101,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (102,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (103,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (104,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (105,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (106,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (107,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (108,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (109,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (110,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (111,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (112,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (113,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (114,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (115,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (116,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (117,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (118,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (119,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (120,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (121,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (122,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (123,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (124,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (125,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (126,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (127,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (128,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (129,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (130,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (131,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.84196741, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83559188, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83877972, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82438266, 0.81096251,\n",
              "          0.80542335],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83506585, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.8427378 , 0.82901884,\n",
              "          0.82335635]])),\n",
              " (132,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.83808325, 0.82826099,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83173714, 0.82198926,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83491027, 0.8251252 ,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.06277833, 1.07321216, 1.06472814, ..., 0.82774706, 0.81804594,\n",
              "          0.8124584 ],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83121353, 0.82147179,\n",
              "          0.81586085],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.83885009, 0.82901884,\n",
              "          0.82335635]])),\n",
              " (133,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.83808325, 0.84196741,\n",
              "          0.82260368],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83173714, 0.83559188,\n",
              "          0.81637478],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83491027, 0.83877972,\n",
              "          0.81948931],\n",
              "         ...,\n",
              "         [1.06277833, 1.07321216, 1.06472814, ..., 0.82774706, 0.83158331,\n",
              "          0.8124584 ],\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82057962, 0.82438266,\n",
              "          0.80542335],\n",
              "         [1.07703396, 1.08760775, 1.07900993, ..., 0.83885009, 0.8427378 ,\n",
              "          0.82335635]])),\n",
              " (134,\n",
              "  array([[1.07604939, 1.08661351, 1.07802355, ..., 0.83808325, 0.84196741,\n",
              "          0.82826099],\n",
              "         [1.06790136, 1.07838549, 1.06986057, ..., 0.83173714, 0.83559188,\n",
              "          0.82198926],\n",
              "         [1.07197547, 1.0824996 , 1.07394216, ..., 0.83491027, 0.83877972,\n",
              "          0.8251252 ],\n",
              "         ...,\n",
              "         [1.06277833, 1.07321216, 1.06472814, ..., 0.82774706, 0.83158331,\n",
              "          0.81804594],\n",
              "         [1.05357577, 1.06391926, 1.0555087 , ..., 0.82057962, 0.82438266,\n",
              "          0.81096251],\n",
              "         [1.06722908, 1.07770661, 1.06918706, ..., 0.83121353, 0.83506585,\n",
              "          0.82147179]]))]"
            ]
          },
          "metadata": {},
          "execution_count": 11
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "L9u4bfjtf1pj"
      },
      "source": [
        "11. Call `beta_sensitivity()` on the arrays A and SP from earlier and print the first ten tuples of output."
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "first_ten_tuples = beta_sensitivity(A, SP)[:10]\n",
        "\n",
        "for i in range(len(first_ten_tuples)):\n",
        "  print(f\"Data point {i}: beta = {first_ten_tuples[i]}\")\n",
        "\n",
        "for i in range(len(first_ten_tuples)):\n",
        "  print(f\"Data point {i+1}: beta = {first_ten_tuples[i]}\")\n",
        "\n",
        "for i in range(len(first_ten_tuples)):\n",
        "  print(f\"Data point {i+2}: beta = {first_ten_tuples[i]}\")\n",
        "\n",
        "for i in range(len(first_ten_tuples)):\n",
        "  print(f\"Data point {i+3}: beta = {first_ten_tuples[i]}\")\n",
        "\n",
        "for i in range(len(first_ten_tuples)):\n",
        "  print(f\"Data point {i+4}: beta = {first_ten_tuples[i]}\")\n",
        "\n",
        "for i in range(len(first_ten_tuples)):\n",
        "  print(f\"Data point {i+5}: beta = {first_ten_tuples[i]}\")\n",
        "\n",
        "for i in range(len(first_ten_tuples)):\n",
        "  print(f\"Data point {i+6}: beta = {first_ten_tuples[i]}\")\n",
        "\n",
        "for i in range(len(first_ten_tuples)):\n",
        "  print(f\"Data point {i+7}: beta = {first_ten_tuples[i]}\")\n",
        "\n",
        "for i in range(len(first_ten_tuples)):\n",
        "  print(f\"Data point {i+8}: beta = {first_ten_tuples[i]}\")\n",
        "\n",
        "for i in range(len(first_ten_tuples)):\n",
        "  print(f\"Data point {i+9}: beta = {first_ten_tuples[i]}\")\n",
        "\n",
        "for i in range(len(first_ten_tuples)):\n",
        "  print(f\"Data point {i+10}: beta = {first_ten_tuples[i]}\")"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "q3bL_mrURb32",
        "outputId": "98ebdb63-1d76-4718-80a2-ffe2ca475dcd"
      },
      "execution_count": 16,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Data point 0: beta = (0, array([[0.92731218, 0.92378787, 0.9263927 , ..., 0.93992095, 0.92789632,\n",
            "        0.91944913],\n",
            "       [0.93470124, 0.93114884, 0.93377442, ..., 0.94741048, 0.93529003,\n",
            "        0.92677553],\n",
            "       [0.93030531, 0.92676962, 0.92938286, ..., 0.94295478, 0.93089134,\n",
            "        0.92241688],\n",
            "       ...,\n",
            "       [1.19675648, 1.19220812, 1.19556982, ..., 1.21302891, 1.19751035,\n",
            "        1.1866087 ],\n",
            "       [1.21656091, 1.21193729, 1.21535462, ..., 1.23310263, 1.21732726,\n",
            "        1.2062452 ],\n",
            "       [1.22492759, 1.22027217, 1.223713  , ..., 1.24158307, 1.22569921,\n",
            "        1.21454094]]))\n",
            "Data point 1: beta = (0, array([[0.92731218, 0.92378787, 0.9263927 , ..., 0.93992095, 0.92789632,\n",
            "        0.91944913],\n",
            "       [0.93470124, 0.93114884, 0.93377442, ..., 0.94741048, 0.93529003,\n",
            "        0.92677553],\n",
            "       [0.93030531, 0.92676962, 0.92938286, ..., 0.94295478, 0.93089134,\n",
            "        0.92241688],\n",
            "       ...,\n",
            "       [1.19675648, 1.19220812, 1.19556982, ..., 1.21302891, 1.19751035,\n",
            "        1.1866087 ],\n",
            "       [1.21656091, 1.21193729, 1.21535462, ..., 1.23310263, 1.21732726,\n",
            "        1.2062452 ],\n",
            "       [1.22492759, 1.22027217, 1.223713  , ..., 1.24158307, 1.22569921,\n",
            "        1.21454094]]))\n",
            "Data point 2: beta = (0, array([[0.92731218, 0.92378787, 0.9263927 , ..., 0.93992095, 0.92789632,\n",
            "        0.91944913],\n",
            "       [0.93470124, 0.93114884, 0.93377442, ..., 0.94741048, 0.93529003,\n",
            "        0.92677553],\n",
            "       [0.93030531, 0.92676962, 0.92938286, ..., 0.94295478, 0.93089134,\n",
            "        0.92241688],\n",
            "       ...,\n",
            "       [1.19675648, 1.19220812, 1.19556982, ..., 1.21302891, 1.19751035,\n",
            "        1.1866087 ],\n",
            "       [1.21656091, 1.21193729, 1.21535462, ..., 1.23310263, 1.21732726,\n",
            "        1.2062452 ],\n",
            "       [1.22492759, 1.22027217, 1.223713  , ..., 1.24158307, 1.22569921,\n",
            "        1.21454094]]))\n",
            "Data point 3: beta = (0, array([[0.92731218, 0.92378787, 0.9263927 , ..., 0.93992095, 0.92789632,\n",
            "        0.91944913],\n",
            "       [0.93470124, 0.93114884, 0.93377442, ..., 0.94741048, 0.93529003,\n",
            "        0.92677553],\n",
            "       [0.93030531, 0.92676962, 0.92938286, ..., 0.94295478, 0.93089134,\n",
            "        0.92241688],\n",
            "       ...,\n",
            "       [1.19675648, 1.19220812, 1.19556982, ..., 1.21302891, 1.19751035,\n",
            "        1.1866087 ],\n",
            "       [1.21656091, 1.21193729, 1.21535462, ..., 1.23310263, 1.21732726,\n",
            "        1.2062452 ],\n",
            "       [1.22492759, 1.22027217, 1.223713  , ..., 1.24158307, 1.22569921,\n",
            "        1.21454094]]))\n",
            "Data point 4: beta = (0, array([[0.92731218, 0.92378787, 0.9263927 , ..., 0.93992095, 0.92789632,\n",
            "        0.91944913],\n",
            "       [0.93470124, 0.93114884, 0.93377442, ..., 0.94741048, 0.93529003,\n",
            "        0.92677553],\n",
            "       [0.93030531, 0.92676962, 0.92938286, ..., 0.94295478, 0.93089134,\n",
            "        0.92241688],\n",
            "       ...,\n",
            "       [1.19675648, 1.19220812, 1.19556982, ..., 1.21302891, 1.19751035,\n",
            "        1.1866087 ],\n",
            "       [1.21656091, 1.21193729, 1.21535462, ..., 1.23310263, 1.21732726,\n",
            "        1.2062452 ],\n",
            "       [1.22492759, 1.22027217, 1.223713  , ..., 1.24158307, 1.22569921,\n",
            "        1.21454094]]))\n",
            "Data point 5: beta = (0, array([[0.92731218, 0.92378787, 0.9263927 , ..., 0.93992095, 0.92789632,\n",
            "        0.91944913],\n",
            "       [0.93470124, 0.93114884, 0.93377442, ..., 0.94741048, 0.93529003,\n",
            "        0.92677553],\n",
            "       [0.93030531, 0.92676962, 0.92938286, ..., 0.94295478, 0.93089134,\n",
            "        0.92241688],\n",
            "       ...,\n",
            "       [1.19675648, 1.19220812, 1.19556982, ..., 1.21302891, 1.19751035,\n",
            "        1.1866087 ],\n",
            "       [1.21656091, 1.21193729, 1.21535462, ..., 1.23310263, 1.21732726,\n",
            "        1.2062452 ],\n",
            "       [1.22492759, 1.22027217, 1.223713  , ..., 1.24158307, 1.22569921,\n",
            "        1.21454094]]))\n",
            "Data point 6: beta = (0, array([[0.92731218, 0.92378787, 0.9263927 , ..., 0.93992095, 0.92789632,\n",
            "        0.91944913],\n",
            "       [0.93470124, 0.93114884, 0.93377442, ..., 0.94741048, 0.93529003,\n",
            "        0.92677553],\n",
            "       [0.93030531, 0.92676962, 0.92938286, ..., 0.94295478, 0.93089134,\n",
            "        0.92241688],\n",
            "       ...,\n",
            "       [1.19675648, 1.19220812, 1.19556982, ..., 1.21302891, 1.19751035,\n",
            "        1.1866087 ],\n",
            "       [1.21656091, 1.21193729, 1.21535462, ..., 1.23310263, 1.21732726,\n",
            "        1.2062452 ],\n",
            "       [1.22492759, 1.22027217, 1.223713  , ..., 1.24158307, 1.22569921,\n",
            "        1.21454094]]))\n",
            "Data point 7: beta = (0, array([[0.92731218, 0.92378787, 0.9263927 , ..., 0.93992095, 0.92789632,\n",
            "        0.91944913],\n",
            "       [0.93470124, 0.93114884, 0.93377442, ..., 0.94741048, 0.93529003,\n",
            "        0.92677553],\n",
            "       [0.93030531, 0.92676962, 0.92938286, ..., 0.94295478, 0.93089134,\n",
            "        0.92241688],\n",
            "       ...,\n",
            "       [1.19675648, 1.19220812, 1.19556982, ..., 1.21302891, 1.19751035,\n",
            "        1.1866087 ],\n",
            "       [1.21656091, 1.21193729, 1.21535462, ..., 1.23310263, 1.21732726,\n",
            "        1.2062452 ],\n",
            "       [1.22492759, 1.22027217, 1.223713  , ..., 1.24158307, 1.22569921,\n",
            "        1.21454094]]))\n",
            "Data point 8: beta = (0, array([[0.92731218, 0.92378787, 0.9263927 , ..., 0.93992095, 0.92789632,\n",
            "        0.91944913],\n",
            "       [0.93470124, 0.93114884, 0.93377442, ..., 0.94741048, 0.93529003,\n",
            "        0.92677553],\n",
            "       [0.93030531, 0.92676962, 0.92938286, ..., 0.94295478, 0.93089134,\n",
            "        0.92241688],\n",
            "       ...,\n",
            "       [1.19675648, 1.19220812, 1.19556982, ..., 1.21302891, 1.19751035,\n",
            "        1.1866087 ],\n",
            "       [1.21656091, 1.21193729, 1.21535462, ..., 1.23310263, 1.21732726,\n",
            "        1.2062452 ],\n",
            "       [1.22492759, 1.22027217, 1.223713  , ..., 1.24158307, 1.22569921,\n",
            "        1.21454094]]))\n",
            "Data point 9: beta = (0, array([[0.92731218, 0.92378787, 0.9263927 , ..., 0.93992095, 0.92789632,\n",
            "        0.91944913],\n",
            "       [0.93470124, 0.93114884, 0.93377442, ..., 0.94741048, 0.93529003,\n",
            "        0.92677553],\n",
            "       [0.93030531, 0.92676962, 0.92938286, ..., 0.94295478, 0.93089134,\n",
            "        0.92241688],\n",
            "       ...,\n",
            "       [1.19675648, 1.19220812, 1.19556982, ..., 1.21302891, 1.19751035,\n",
            "        1.1866087 ],\n",
            "       [1.21656091, 1.21193729, 1.21535462, ..., 1.23310263, 1.21732726,\n",
            "        1.2062452 ],\n",
            "       [1.22492759, 1.22027217, 1.223713  , ..., 1.24158307, 1.22569921,\n",
            "        1.21454094]]))\n",
            "Data point 10: beta = (0, array([[0.92731218, 0.92378787, 0.9263927 , ..., 0.93992095, 0.92789632,\n",
            "        0.91944913],\n",
            "       [0.93470124, 0.93114884, 0.93377442, ..., 0.94741048, 0.93529003,\n",
            "        0.92677553],\n",
            "       [0.93030531, 0.92676962, 0.92938286, ..., 0.94295478, 0.93089134,\n",
            "        0.92241688],\n",
            "       ...,\n",
            "       [1.19675648, 1.19220812, 1.19556982, ..., 1.21302891, 1.19751035,\n",
            "        1.1866087 ],\n",
            "       [1.21656091, 1.21193729, 1.21535462, ..., 1.23310263, 1.21732726,\n",
            "        1.2062452 ],\n",
            "       [1.22492759, 1.22027217, 1.223713  , ..., 1.24158307, 1.22569921,\n",
            "        1.21454094]]))\n"
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