DynamicalSystemsJl_Lorenz.ipynb

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   "execution_count": 14,
   "id": "7797b1af-371a-4891-8578-ea6dfdbbed46",
   "metadata": {},
   "outputs": [],
   "source": [
    "using DynamicalSystems\n",
    "using Plots; gr()\n",
    "using CairoMakie\n",
    "using LinearAlgebra: norm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "6ed3093e-834a-4818-9874-e321b25e12e4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "lorenz (generic function with 1 method)"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Define Lorenz system\n",
    "function lorenz(u, p, t)\n",
    "    σ, ρ, β = p\n",
    "    dx = zeros(3)\n",
    "    du1 = σ*(u[2] - u[1]) \n",
    "    du2 = u[1]*(ρ - u[3]) - u[2]\n",
    "    du3 = u[1]*u[2] - β*u[3]\n",
    "    return SVector{3}(du1, du2, du3)\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "2c6ab419-385d-4ec1-9780-6f6647ea2c82",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3-element Vector{Float64}:\n",
       " 10.0\n",
       " 28.0\n",
       "  2.6666666666666665"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Initial conds\n",
    "u0 = [0.0, 10.0, 0.0]\n",
    "\n",
    "# Parameters\n",
    "p = [10, 28, 8/3]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "12921f81-c6b0-410d-a39a-d2fd8b6cbd73",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3-dimensional continuous dynamical system\n",
       " state:       [0.0, 10.0, 0.0]\n",
       " rule f:      lorenz\n",
       " in-place?    false\n",
       " jacobian:    ForwardDiff\n",
       " parameters:  [10.0, 28.0, 2.66667]"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Create ds\n",
    "ds = ContinuousDynamicalSystem(lorenz, u0, p)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "40e6e2a5-94bf-4b71-bde0-6ef2a6dca54a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3-dimensional Dataset{Float64} with 10001 points\n",
       "  0.0       10.0        0.0\n",
       "  0.951226  10.0352     0.0479007\n",
       "  1.82768   10.3224     0.18683\n",
       "  2.6593    10.839      0.416592\n",
       "  3.47133   11.5678     0.744804\n",
       "  4.28518   12.496      1.18585\n",
       "  5.1191    13.6125     1.76047\n",
       "  5.98858   14.9063     2.49569\n",
       "  6.90648   16.3638     3.42487\n",
       "  7.88291   17.9659     4.58749\n",
       "  8.92478   19.6843     6.02839\n",
       " 10.035     21.4776     7.796\n",
       " 11.2116    23.2867     9.93892\n",
       "  ⋮                    \n",
       " 13.3629     9.49282   37.0828\n",
       " 12.9317     8.19602   37.2547\n",
       " 12.4201     6.9467    37.2213\n",
       " 11.8418     5.77547   37.0029\n",
       " 11.2119     4.70529   36.6246\n",
       " 10.5456     3.75107   36.114\n",
       "  9.85783    2.92022   35.4987\n",
       "  9.16247    2.21357   34.8047\n",
       "  8.47189    1.62682   34.0553\n",
       "  7.79667    1.15186   33.2701\n",
       "  7.1455     0.77822   32.4653\n",
       "  6.52517    0.494141  31.6535"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Calc trajectory\n",
    "traj = trajectory(ds, 100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "a6572591-f51e-4f97-b012-2e16d34eac5b",
   "metadata": {},
   "outputs": [
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       "  736.211,738.247 737.033,736.506 738.126,734.907 739.478,733.468 741.073,732.206 742.893,731.136 744.918,730.27 747.122,729.616 749.481,729.181 751.967,728.968 \n",
       "  754.551,728.979 757.205,729.211 759.899,729.66 762.603,730.319 765.288,731.178 767.925,732.228 770.488,733.453 772.949,734.841 775.286,736.375 777.475,738.038 \n",
       "  779.495,739.811 781.328,741.678 782.957,743.617 784.368,745.611 785.549,747.639 786.49,749.682 787.183,751.721 787.623,753.738 787.808,755.712 787.735,757.627 \n",
       "  787.406,759.465 786.825,761.209 785.997,762.843 784.929,764.352 783.629,765.722 782.111,766.94 780.385,767.994 778.469,768.873 776.377,769.566 774.129,770.067 \n",
       "  771.744,770.368 769.244,770.465 766.652,770.353 763.993,770.032 761.292,769.502 758.575,768.765 755.87,767.825 753.205,766.69 750.607,765.369 748.106,763.872 \n",
       "  745.728,762.212 743.501,760.407 741.451,758.472 739.603,756.428 737.98,754.296 736.601,752.099 735.486,749.861 734.65,747.608 734.104,745.365 733.858,743.159 \n",
       "  733.916,741.015 734.278,738.96 734.944,737.017 735.905,735.21 737.151,733.56 738.669,732.087 740.44,730.808 742.443,729.738 744.656,728.887 747.052,728.265 \n",
       "  749.602,727.878 752.278,727.728 755.049,727.815 757.883,728.136 760.749,728.685 763.614,729.454 766.45,730.433 769.224,731.608 771.91,732.965 774.48,734.488 \n",
       "  776.909,736.16 779.173,737.962 781.252,739.874 783.126,741.878 784.779,743.952 786.197,746.076 787.368,748.23 788.283,750.393 788.934,752.545 789.316,754.666 \n",
       "  789.428,756.737 789.268,758.739 788.84,760.655 788.146,762.466 787.193,764.157 785.99,765.711 784.546,767.115 782.874,768.354 780.989,769.417 778.906,770.292 \n",
       "  776.643,770.969 774.22,771.441 771.66,771.7 768.983,771.741 766.216,771.562 763.385,771.161 760.515,770.54 757.637,769.7 754.779,768.647 751.97,767.389 \n",
       "  749.24,765.936 746.62,764.3 744.138,762.495 741.824,760.539 739.705,758.451 737.806,756.253 736.153,753.967 734.765,751.619 733.662,749.234 732.86,746.84 \n",
       "  732.37,744.465 732.2,742.136 732.355,739.882 732.834,737.73 733.634,735.704 734.746,733.83 736.158,732.131 737.853,730.625 739.811,729.331 742.01,728.263 \n",
       "  744.423,727.433 747.022,726.849 749.776,726.516 752.652,726.435 755.618,726.606 758.641,727.025 761.686,727.683 764.72,728.571 767.711,729.676 770.627,730.986 \n",
       "  773.44,732.483 776.12,734.149 778.641,735.966 780.981,737.915 783.118,739.973 785.032,742.12 786.707,744.335 788.128,746.595 789.286,748.879 790.169,751.167 \n",
       "  790.772,753.435 791.091,755.665 791.123,757.836 790.87,759.928 790.334,761.923 789.519,763.804 788.434,765.552 787.088,767.152 785.491,768.589 783.657,769.849 \n",
       "  781.603,770.919 779.344,771.788 776.901,772.447 774.295,772.886 771.548,773.099 768.686,773.081 765.735,772.83 762.722,772.343 759.676,771.623 756.629,770.674 \n",
       "  753.609,769.5 750.65,768.111 747.782,766.518 745.038,764.734 742.449,762.775 740.045,760.66 737.855,758.409 735.906,756.048 734.223,753.599 732.829,751.091 \n",
       "  731.743,748.551 730.98,746.009 730.552,743.495 730.466,741.039 730.727,738.669 731.334,736.416 732.279,734.306 733.554,732.364 735.143,730.615 737.028,729.078 \n",
       "  739.187,727.772 741.594,726.711 744.22,725.906 747.034,725.365 750.002,725.093 753.089,725.089 756.261,725.352 759.481,725.875 762.713,726.65 765.922,727.665 \n",
       "  769.075,728.907 772.137,730.36 775.079,732.004 777.872,733.823 780.488,735.793 782.904,737.896 785.097,740.107 787.049,742.404 788.743,744.766 790.166,747.168 \n",
       "  791.305,749.588 792.153,752.004 792.703,754.394 792.953,756.737 792.9,759.01 792.546,761.196 791.894,763.273 790.952,765.224 789.727,767.03 788.228,768.677 \n",
       "  786.47,770.147 784.465,771.427 782.232,772.504 779.789,773.366 777.156,774.003 774.356,774.407 771.414,774.57 768.357,774.489 765.211,774.16 762.007,773.582 \n",
       "  758.777,772.758 755.551,771.692 752.362,770.39 749.245,768.861 746.233,767.119 743.36,765.178 740.659,763.055 738.161,760.771 735.898,758.349 733.898,755.814 \n",
       "  732.187,753.193 730.789,750.516 729.723,747.813 729.004,745.115 728.645,742.455 728.652,739.865 729.029,737.375 729.772,735.017 730.875,732.82 732.324,730.809 \n",
       "  734.104,729.01 736.193,727.444 738.565,726.128 741.193,725.077 744.045,724.303 747.086,723.811 750.28,723.605 753.59,723.686 756.977,724.048 760.404,724.685 \n",
       "  763.831,725.585 767.223,726.737 770.543,728.124 773.756,729.727 776.832,731.529 779.74,733.507 782.452,735.64 784.944,737.903 787.194,740.275 789.183,742.73 \n",
       "  790.894,745.244 792.314,747.795 793.432,750.356 794.24,752.907 794.733,755.422 794.907,757.881 794.762,760.262 794.301,762.543 793.528,764.705 792.45,766.728 \n",
       "  791.076,768.595 789.418,770.289 787.488,771.793 785.304,773.094 782.883,774.176 780.245,775.03 777.412,775.644 774.409,776.009 771.262,776.12 767.998,775.971 \n",
       "  764.649,775.559 761.245,774.885 757.819,773.95 754.405,772.76 751.039,771.322 747.756,769.646 744.593,767.745 741.584,765.637 738.765,763.341 736.17,760.878 \n",
       "  733.832,758.274 731.779,755.555 730.041,752.752 728.64,749.896 727.597,747.021 726.928,744.158 726.644,741.345 726.753,738.614 727.254,735.998 728.145,733.532 \n",
       "  729.416,731.244 731.052,729.163 733.035,727.313 735.341,725.718 737.941,724.395 740.804,723.358 743.895,722.619 747.176,722.182 750.609,722.05 754.153,722.222 \n",
       "  757.767,722.692 761.41,723.45 765.041,724.485 768.623,725.782 772.116,727.322 775.487,729.087 778.7,731.054 781.726,733.2 784.536,735.502 787.106,737.936 \n",
       "  789.412,740.475 791.437,743.095 793.164,745.769 794.579,748.473 795.672,751.183 796.436,753.872 796.866,756.519 796.96,759.099 796.719,761.59 796.144,763.971 \n",
       "  795.242,766.22 794.021,768.319 792.491,770.249 790.665,771.992 788.556,773.531 786.183,774.852 783.564,775.94 780.722,776.785 777.679,777.374 774.462,777.699 \n",
       "  771.099,777.754 767.619,777.534 764.054,777.035 760.439,776.259 756.807,775.207 753.196,773.886 749.643,772.304 746.185,770.472 742.862,768.404 739.71,766.12 \n",
       "  736.768,763.639 734.071,760.987 731.653,758.189 729.546,755.277 727.779,752.281 726.376,749.236 725.36,746.177 724.745,743.141 724.543,740.165 724.759,737.286 \n",
       "  725.395,734.539 726.444,731.958 727.895,729.576 729.732,727.422 731.932,725.522 734.468,723.899 737.31,722.57 740.422,721.551 743.766,720.851 747.301,720.474 \n",
       "  750.986,720.423 754.776,720.693 758.627,721.278 762.497,722.167 766.342,723.345 770.122,724.796 773.796,726.499 777.329,728.432 780.685,730.574 783.832,732.897 \n",
       "  786.743,735.378 789.392,737.989 791.756,740.704 793.817,743.495 795.558,746.337 796.966,749.202 798.032,752.065 798.749,754.9 799.113,757.682 799.122,760.388 \n",
       "  798.778,762.995 798.084,765.479 797.047,767.821 795.676,769.998 793.983,771.993 791.98,773.787 789.684,775.363 787.112,776.706 784.287,777.801 781.23,778.636 \n",
       "  777.967,779.2 774.525,779.484 770.935,779.481 767.227,779.185 763.436,778.596 759.598,777.713 755.75,776.539 751.93,775.08 748.178,773.346 744.536,771.349 \n",
       "  741.043,769.106 737.74,766.635 734.666,763.96 731.86,761.106 729.358,758.104 727.194,754.986 725.396,751.785 723.993,748.539 723.004,745.287 722.447,742.067 \n",
       "  722.332,738.92 722.665,735.884 723.443,732.997 724.661,730.297 726.304,727.816 728.353,725.586 730.783,723.634 733.565,721.982 736.663,720.65 740.038,719.65 \n",
       "  743.65,718.993 747.454,718.682 751.403,718.717 755.452,719.093 759.554,719.802 763.662,720.829 767.731,722.158 771.718,723.772 775.581,725.646 779.283,727.758 \n",
       "  782.787,730.083 786.061,732.593 789.076,735.26 791.806,738.057 794.23,740.955 796.327,743.926 798.082,746.942 799.483,749.976 800.52,752.999 801.187,755.986 \n",
       "  801.481,758.91 801.402,761.748 800.95,764.475 800.132,767.068 798.955,769.506 797.428,771.766 795.564,773.83 793.377,775.679 790.885,777.295 788.106,778.661 \n",
       "  785.064,779.765 781.783,780.591 778.289,781.13 774.612,781.371 770.783,781.308 766.835,780.936 762.806,780.253 758.733,779.258 754.655,777.956 750.614,776.354 \n",
       "  746.652,774.46 742.813,772.291 739.139,769.861 735.675,767.194 732.461,764.313 729.538,761.248 726.946,758.029 724.719,754.692 722.888,751.274 721.482,747.816 \n",
       "  720.522,744.358 720.026,740.942 720.003,737.612 720.457,734.41 721.387,731.376 722.783,728.548 724.63,725.963 726.904,723.653 729.578,721.646 732.619,719.964 \n",
       "  735.988,718.628 739.643,717.651 743.537,717.04 747.624,716.8 751.854,716.927 756.176,717.415 760.541,718.254 764.899,719.427 769.203,720.917 773.407,722.701 \n",
       "  777.468,724.757 781.346,727.057 785.006,729.573 788.412,732.278 791.536,735.141 794.352,738.132 796.837,741.223 798.972,744.382 800.742,747.58 802.136,750.788 \n",
       "  803.143,753.979 803.76,757.125 803.982,760.198 803.811,763.174 803.25,766.028 802.303,768.736 800.98,771.275 799.291,773.624 797.25,775.761 794.872,777.669 \n",
       "  792.176,779.328 789.183,780.722 785.915,781.836 782.4,782.656 778.664,783.171 774.739,783.371 770.66,783.248 766.46,782.798 762.179,782.018 757.857,780.909 \n",
       "  753.536,779.474 749.261,777.722 745.075,775.663 741.026,773.312 737.159,770.688 733.52,767.814 730.155,764.716 727.106,761.426 724.415,757.978 722.118,754.409 \n",
       "  720.249,750.761 718.837,747.076 717.905,743.398 717.47,739.775 717.542,736.25 718.124,732.87 719.213,729.678 720.796,726.715 722.857,724.018 725.369,721.622 \n",
       "  728.301,719.555 731.616,717.842 735.271,716.502 739.22,715.547 743.414,714.985 747.8,714.818 752.325,715.042 756.935,715.649 761.577,716.624 766.199,717.952 \n",
       "  770.75,719.61 775.183,721.574 779.452,723.819 783.517,726.315 787.34,729.033 790.886,731.942 794.125,735.009 797.031,738.204 799.582,741.495 801.759,744.85 \n",
       "  803.547,748.239 804.934,751.632 805.913,754.998 806.479,758.31 806.629,761.54 806.365,764.662 805.691,767.65 804.613,770.479 803.141,773.127 801.286,775.57 \n",
       "  799.062,777.787 796.487,779.759 793.581,781.467 790.364,782.894 786.862,784.023 783.102,784.84 779.114,785.334 774.93,785.494 770.587,785.313 766.122,784.784 \n",
       "  761.576,783.907 756.99,782.681 752.411,781.11 747.885,779.204 743.461,776.973 739.186,774.433 735.11,771.605 731.284,768.514 727.753,765.188 724.565,761.661 \n",
       "  721.764,757.97 719.388,754.155 717.473,750.261 716.05,746.334 715.142,742.423 714.768,738.576 714.936,734.843 715.649,731.272 716.902,727.91 718.681,724.8 \n",
       "  720.966,721.982 723.728,719.492 726.931,717.36 730.534,715.611 734.492,714.264 738.752,713.331 743.261,712.819 747.962,712.728 752.799,713.053 757.714,713.783 \n",
       "  762.648,714.901 767.549,716.389 772.361,718.223 777.036,720.376 781.526,722.818 785.789,725.52 789.785,728.448 793.479,731.57 796.842,734.851 799.845,738.259 \n",
       "  802.469,741.76 804.692,745.32 806.502,748.909 807.888,752.494 808.841,756.045 809.357,759.532 809.436,762.928 809.08,766.204 808.293,769.334 807.082,772.293 \n",
       "  805.459,775.057 803.434,777.602 801.024,779.908 798.247,781.952 795.124,783.716 791.676,785.181 787.931,786.331 783.917,787.152 779.666,787.629 775.213,787.754 \n",
       "  770.593,787.517 765.849,786.912 761.021,785.938 756.157,784.594 751.303,782.886 746.51,780.821 741.828,778.413 737.309,775.678 733.008,772.638 728.975,769.319 \n",
       "  725.263,765.754 721.92,761.977 718.994,758.028 716.526,753.953 714.555,749.797 713.111,745.612 712.222,741.45 711.903,737.363 712.166,733.405 713.012,729.627 \n",
       "  714.433,726.08 716.415,722.81 718.932,719.859 721.954,717.265 725.442,715.059 729.348,713.268 733.623,711.909 738.211,710.996 743.053,710.532 748.088,710.518 \n",
       "  753.254,710.946 758.491,711.802 763.736,713.069 768.931,714.723 774.022,716.739 778.954,719.088 783.679,721.736 788.152,724.652 792.334,727.799 796.189,731.143 \n",
       "  799.685,734.648 802.796,738.278 805.5,741.998 807.779,745.774 809.618,749.572 811.007,753.359 811.939,757.105 812.411,760.777 812.423,764.348 811.976,767.788 \n",
       "  811.078,771.071 809.735,774.17 807.96,777.061 805.764,779.718 803.166,782.121 800.183,784.247 796.838,786.076 793.154,787.589 789.158,788.769 784.882,789.6 \n",
       "  780.357,790.069 775.621,790.164 770.712,789.877 765.673,789.2 760.549,788.132 755.389,786.672 750.241,784.826 745.161,782.602 740.201,780.013 735.419,777.077 \n",
       "  730.87,773.817 726.611,770.262 722.696,766.446 719.179,762.405 716.109,758.185 713.532,753.832 711.488,749.397 710.012,744.935 709.129,740.503 708.859,736.156 \n",
       "  709.212,731.954 710.188,727.951 711.779,724.201 713.967,720.753 716.724,717.654 720.016,714.943 723.799,712.652 728.023,710.808 732.631,709.43 737.564,708.53 \n",
       "  742.757,708.112 748.144,708.173 753.66,708.704 759.238,709.688 764.813,711.106 770.323,712.932 775.71,715.136 780.917,717.687 785.894,720.549 790.595,723.687 \n",
       "  794.979,727.062 799.008,730.638 802.652,734.375 805.883,738.237 808.68,742.187 811.024,746.189 812.902,750.207 814.303,754.208 815.223,758.159 815.658,762.029 \n",
       "  815.608,765.786 815.077,769.403 814.071,772.85 812.6,776.101 810.675,779.13 808.31,781.912 805.523,784.424 802.333,786.644 798.762,788.55 794.837,790.123 \n",
       "  790.585,791.344 786.038,792.197 781.231,792.667 776.2,792.742 770.989,792.412 765.64,791.671 760.202,790.515 754.726,788.944 749.265,786.962 743.875,784.579 \n",
       "  738.615,781.808 733.544,778.667 728.723,775.182 724.211,771.382 720.069,767.303 716.352,762.987 713.115,758.479 710.406,753.831 708.27,749.098 706.742,744.339 \n",
       "  705.851,739.614 705.617,734.986 706.05,730.516 707.15,726.265 708.907,722.29 711.302,718.645 714.304,715.378 717.873,712.531 721.962,710.138 726.515,708.229 \n",
       "  731.472,706.82 736.767,705.924 742.331,705.544 748.091,705.676 753.977,706.307 759.919,707.419 765.846,708.99 771.693,710.99 777.397,713.387 782.901,716.145 \n",
       "  788.151,719.228 793.1,722.595 797.704,726.207 801.926,730.023 805.735,734.004 809.103,738.109 812.008,742.299 814.432,746.538 816.363,750.789 817.79,755.015 \n",
       "  818.709,759.185 819.117,763.264 819.016,767.221 818.41,771.027 817.305,774.653 815.711,778.07 813.642,781.252 811.111,784.174 808.137,786.811 804.741,789.139 \n",
       "  800.945,791.138 796.776,792.785 792.263,794.062 787.439,794.951 782.34,795.436 777.005,795.505 771.477,795.146 765.804,794.351 760.034,793.116 754.222,791.442 \n",
       "  748.424,789.331 742.7,786.792 737.113,783.84 731.725,780.494 726.602,776.779 721.808,772.727 717.406,768.377 713.459,763.771 710.024,758.96 707.155,753.999 \n",
       "  704.898,748.947 703.293,743.868 702.37,738.826 702.152,733.89 702.65,729.126 703.862,724.6 705.778,720.373 708.376,716.504 711.622,713.044 715.472,710.037 \n",
       "  719.875,707.522 724.771,705.527 730.092,704.072 735.766,703.166 741.72,702.813 747.875,703.006 754.155,703.731 760.484,704.968 766.789,706.689 772.998,708.864 \n",
       "  779.046,711.456 784.872,714.426 790.42,717.735 795.641,721.339 800.489,725.195 804.928,729.262 808.924,733.495 812.45,737.854 815.484,742.297 818.008,746.785 \n",
       "  820.01,751.281 821.48,755.747 822.415,760.149 822.812,764.452 822.674,768.625 822.005,772.637 820.813,776.457 819.108,780.058 816.903,783.411 814.215,786.49 \n",
       "  811.061,789.27 807.462,791.727 803.443,793.836 799.031,795.577 794.255,796.929 789.15,797.873 783.752,798.392 778.102,798.472 772.246,798.1 766.232,797.268 \n",
       "  760.111,795.969 753.942,794.204 747.783,791.974 741.698,789.289 735.753,786.161 730.015,782.612 724.555,778.667 719.441,774.359 714.744,769.729 710.528,764.823 \n",
       "  706.856,759.693 703.788,754.4 701.374,749.006 699.658,743.581 698.673,738.195 698.443,732.92 698.98,727.831 700.285,722.996 702.344,718.484 705.135,714.358 \n",
       "  708.62,710.673 712.752,707.477 717.474,704.811 722.721,702.705 728.419,701.178 734.49,700.243 740.855,699.899 747.428,700.14 754.128,700.948 760.872,702.301 \n",
       "  767.583,704.168 774.184,706.515 780.606,709.302 786.784,712.486 792.661,716.025 798.184,719.871 803.307,723.98 807.991,728.305 812.203,732.802 815.914,737.425 \n",
       "  819.102,742.133 821.752,746.885 823.849,751.64 825.386,756.361 826.359,761.011 826.766,765.557 826.611,769.963 825.898,774.199 824.636,778.234 822.835,782.038 \n",
       "  820.51,785.583 817.677,788.842 814.353,791.787 810.561,794.394 806.326,796.638 801.674,798.497 796.637,799.948 791.249,800.971 785.548,801.548 779.576,801.663 \n",
       "  773.38,801.301 767.01,800.453 760.521,799.112 753.971,797.274 747.424,794.942 740.948,792.124 734.61,788.832 728.485,785.087 722.647,780.915 717.171,776.351 \n",
       "  712.13,771.436 707.598,766.22 703.642,760.758 700.327,755.113 697.709,749.354 695.836,743.555 694.745,737.792 694.464,732.145 695.006,726.691 696.373,721.509 \n",
       "  698.551,716.672 701.516,712.247 705.227,708.297 709.635,704.873 714.675,702.018 720.279,699.766 726.365,698.137 732.85,697.143 739.646,696.784 746.663,697.051 \n",
       "  753.81,697.925 761.001,699.38 768.151,701.383 775.178,703.895 782.011,706.873 788.578,710.271 794.821,714.041 800.683,718.134 806.117,722.502 811.082,727.094 \n",
       "  815.545,731.864 819.476,736.764 822.853,741.75 825.66,746.779 827.885,751.81 829.519,756.803 830.559,761.721 831.004,766.527 830.859,771.188 830.127,775.67 \n",
       "  828.819,779.942 826.945,783.974 824.52,787.736 821.56,791.199 818.084,794.337 814.114,797.123 809.674,799.531 804.792,801.537 799.5,803.117 793.832,804.25 \n",
       "  787.828,804.916 781.529,805.096 774.985,804.775 768.246,803.94 761.369,802.584 754.417,800.701 747.454,798.291 740.553,795.362 733.785,791.924 727.23,787.998 \n",
       "  720.967,783.609 715.076,778.794 709.637,773.594 704.73,768.061 700.431,762.254 696.807,756.24 693.924,750.092 691.834,743.889 690.58,737.715 690.193,731.654 \n",
       "  690.691,725.793 692.076,720.216 694.336,715.003 697.445,710.23 701.36,705.962 706.026,702.259 711.378,699.168 717.338,696.723 723.82,694.949 730.733,693.857 \n",
       "  737.981,693.448 745.467,693.711 753.093,694.625 760.765,696.161 768.392,698.282 775.887,700.947 783.172,704.107 790.173,707.714 796.826,711.714 803.073,716.056 \n",
       "  808.863,720.687 814.155,725.554 818.912,730.607 823.107,735.796 826.716,741.074 829.723,746.397 832.115,751.721 833.885,757.005 835.03,762.21 835.551,767.3 \n",
       "  835.45,772.238 834.733,776.992 833.411,781.528 831.495,785.815 828.999,789.824 825.939,793.523 822.335,796.886 818.208,799.885 813.582,802.491 808.487,804.68 \n",
       "  802.953,806.427 797.015,807.708 790.711,808.501 784.087,808.785 777.189,808.544 770.071,807.762 762.792,806.429 755.415,804.537 748.008,802.084 740.647,799.075 \n",
       "  733.408,795.519 726.375,791.436 719.631,786.85 713.265,781.796 707.364,776.318 702.012,770.469 697.294,764.31 693.286,757.911 690.06,751.351 687.676,744.713 \n",
       "  686.183,738.088 685.618,731.569 686.004,725.249 687.345,719.22 689.631,713.572 692.836,708.386 696.917,703.738 701.815,699.692 707.46,696.299 713.768,693.601 \n",
       "  720.647,691.624 727.997,690.382 735.716,689.874 743.696,690.09 751.834,691.006 760.026,692.592 768.173,694.805 776.184,697.602 783.972,700.93 791.46,704.734 \n",
       "  798.578,708.96 805.265,713.549 811.467,718.445 817.141,723.593 822.25,728.937 826.763,734.427 830.657,740.012 833.916,745.645 836.527,751.281 838.484,756.877 \n",
       "  839.783,762.394 840.426,767.792 840.415,773.035 839.758,778.089 838.465,782.92 836.547,787.496 834.017,791.785 830.894,795.757 827.196,799.384 822.944,802.634 \n",
       "  818.162,805.482 812.878,807.898 807.124,809.857 800.932,811.332 794.343,812.301 787.4,812.739 780.151,812.627 772.65,811.948 764.956,810.687 757.135,808.835 \n",
       "  749.259,806.386 741.402,803.342 733.649,799.71 726.085,795.506 718.802,790.754 711.892,785.487 705.45,779.749 699.57,773.592 694.343,767.081 689.856,760.288 \n",
       "  686.189,753.295 683.411,746.193 681.58,739.079 680.741,732.051 680.921,725.213 682.132,718.667 684.366,712.51 687.599,706.835 691.787,701.725 696.87,697.254 \n",
       "  702.773,693.479 709.407,690.448 716.673,688.192 724.464,686.727 732.667,686.054 741.167,686.163 749.85,687.029 758.604,688.617 767.322,690.885 775.903,693.782 \n",
       "  784.255,697.252 792.293,701.237 799.942,705.675 807.136,710.505 813.82,715.665 819.945,721.096 825.474,726.74 830.374,732.541 834.621,738.447 838.199,744.408 \n",
       "  841.095,750.376 843.301,756.308 844.817,762.161 845.642,767.896 845.78,773.475 845.24,778.862 844.03,784.023 842.163,788.925 839.652,793.535 836.515,797.822 \n",
       "  832.769,801.756 828.435,805.307 823.538,808.445 818.103,811.141 812.161,813.366 805.745,815.093 798.894,816.296 791.65,816.95 784.062,817.03 776.182,816.517 \n",
       "  768.07,815.393 759.794,813.645 751.424,811.263 743.042,808.245 734.73,804.595 726.582,800.324 718.693,795.455 711.162,790.016 704.091,784.051 697.585,777.611 \n",
       "  691.742,770.76 686.661,763.574 682.431,756.137 679.133,748.546 676.836,740.902 675.594,733.314 675.445,725.894 676.407,718.755 678.479,712.004 681.64,705.746 \n",
       "  685.848,700.075 691.042,695.074 697.146,690.813 704.064,687.345 711.691,684.708 719.912,682.923 728.605,681.996 737.644,681.914 746.905,682.655 756.266,684.182 \n",
       "  765.608,686.448 774.823,689.398 783.808,692.973 792.471,697.108 800.731,701.737 808.516,706.792 815.766,712.209 822.429,717.922 828.463,723.869 833.836,729.991 \n",
       "  838.521,736.232 842.501,742.538 845.763,748.861 848.301,755.153 850.111,761.371 851.195,767.474 851.558,773.423 851.207,779.18 850.152,784.711 848.405,789.981 \n",
       "  845.979,794.958 842.892,799.609 839.16,803.903 834.805,807.809 829.848,811.295 824.315,814.331 818.235,816.888 811.639,818.936 804.565,820.445 797.053,821.388 \n",
       "  789.151,821.738 780.91,821.471 772.389,820.565 763.655,819.003 754.781,816.772 745.847,813.862 736.939,810.274 728.154,806.014 719.592,801.098 711.358,795.552 \n",
       "  703.563,789.416 696.318,782.737 689.734,775.58 683.919,768.018 678.978,760.14 675.003,752.045 672.077,743.84 670.267,735.643 669.623,727.574 670.175,719.758 \n",
       "  671.931,712.315 674.878,705.363 678.978,699.009 684.173,693.35 690.383,688.468 697.513,684.429 705.449,681.278 714.069,679.045 723.241,677.74 732.828,677.355 \n",
       "  742.693,677.867 752.703,679.238 762.728,681.421 772.646,684.355 782.345,687.976 791.723,692.215 800.69,696.998 809.166,702.254 817.086,707.91 824.392,713.896 \n",
       "  831.039,720.146 836.991,726.594 842.221,733.18 846.708,739.849 850.44,746.548 853.41,753.227 855.614,759.84 857.055,766.345 857.738,772.7 857.669,778.869 \n",
       "  856.859,784.814 855.321,790.501 853.067,795.896 850.114,800.966 846.479,805.679 842.181,810.003 837.241,813.905 831.682,817.354 825.533,820.318 818.822,822.766 \n",
       "  811.584,824.666 803.858,825.987 795.687,826.701 787.123,826.778 778.221,826.192 769.046,824.922 759.671,822.947 750.174,820.253 740.645,816.835 731.18,812.691 \n",
       "  721.883,807.83 712.865,802.274 704.243,796.054 696.138,789.214 688.671,781.812 681.963,773.922 676.133,765.631 671.289,757.039 667.529,748.258 664.939,739.413 \n",
       "  663.585,730.633 663.512,722.054 664.743,713.811 667.275,706.037 671.081,698.856 676.109,692.382 682.282,686.712 689.502,681.927 697.654,678.088 706.605,675.235 \n",
       "  716.216,673.386 726.338,672.541 736.821,672.678 747.515,673.763 758.279,675.744 768.975,678.559 779.478,682.14 789.674,686.41 799.46,691.291 808.749,696.702 \n",
       "  817.466,702.566 825.546,708.805 832.938,715.346 839.604,722.119 845.511,729.058 850.638,736.104 854.971,743.198 858.501,750.29 861.225,757.329 863.146,764.272 \n",
       "  864.269,771.075 864.6,777.7 864.152,784.109 862.935,790.265 860.965,796.136 858.255,801.687 854.822,806.884 850.685,811.696 845.863,816.09 840.378,820.033 \n",
       "  834.254,823.491 827.519,826.432 820.204,828.821 812.344,830.627 803.979,831.815 795.157,832.353 785.929,832.212 776.358,831.362 766.511,829.779 756.466,827.441 \n",
       "  746.312,824.332 736.143,820.447 726.065,815.784 716.193,810.354 706.649,804.18 697.561,797.299 689.061,789.761 681.284,781.633 674.361,772.997 668.42,763.953 \n",
       "  663.579,754.614 659.944,745.108 657.602,735.574 656.62,726.156 657.041,717.007 658.882,708.274 662.13,700.102 666.745,692.624 672.658,685.961 679.776,680.213 \n",
       "  687.983,675.459 697.141,671.757 707.102,669.141 717.705,667.618 728.786,667.178 740.181,667.787 751.727,669.397 763.273,671.943 774.675,675.352 785.804,679.543 \n",
       "  796.541,684.429 806.787,689.923 816.453,695.938 825.468,702.389 833.771,709.195 841.316,716.279 848.068,723.57 854.002,730.999 859.1,738.506 863.353,746.033 \n",
       "  866.758,753.53 869.315,760.947 871.031,768.241 871.914,775.369 871.974,782.294 871.224,788.978 869.677,795.386 867.35,801.485 864.257,807.24 860.416,812.619 \n",
       "  855.845,817.589 850.564,822.115 844.594,826.164 837.96,829.702 830.689,832.693 822.812,835.103 814.364,836.895 805.388,838.033 795.929,838.482 786.044,838.209 \n",
       "  775.797,837.182 765.259,835.371 754.513,832.754 743.653,829.312 732.782,825.034 722.015,819.921 711.475,813.981 701.298,807.24 691.622,799.736 682.593,791.524 \n",
       "  674.36,782.677 667.068,773.289 660.857,763.467 655.856,753.341 652.181,743.051 649.926,732.753 649.162,722.609 649.932,712.787 652.249,703.452 656.094,694.762 \n",
       "  661.415,686.863 668.129,679.883 676.126,673.928 685.271,669.08 695.408,665.394 706.367,662.899 717.969,661.595 730.032,661.459 742.374,662.449 754.823,664.502 \n",
       "  767.213,667.541 779.393,671.48 791.227,676.226 802.595,681.683 813.395,687.754 823.538,694.344 832.955,701.362 841.589,708.722 849.397,716.344 856.349,724.152 \n",
       "  862.422,732.078 867.606,740.06 871.895,748.04 875.289,755.967 877.794,763.793 879.419,771.474 880.175,778.97 880.076,786.242 879.134,793.255 877.367,799.973 \n",
       "  874.79,806.364 871.418,812.394 867.271,818.029 862.364,823.237 856.718,827.982 850.352,832.231 843.291,835.948 835.56,839.095 827.189,841.634 818.212,843.527 \n",
       "  808.67,844.736 798.611,845.221 788.09,844.945 777.17,843.87 765.928,841.965 754.449,839.199 742.83,835.551 731.181,831.006 719.625,825.557 708.295,819.214 \n",
       "  697.335,811.997 686.9,803.945 677.148,795.115 668.244,785.585 660.349,775.452 653.62,764.835 648.202,753.875 644.225,742.727 641.796,731.563 640.994,720.564 \n",
       "  641.87,709.918 644.436,699.807 648.673,690.41 654.521,681.888 661.886,674.382 670.644,668.01 680.64,662.86 691.701,658.988 703.636,656.422 716.244,655.157 \n",
       "  729.323,655.164 742.675,656.386 756.108,658.752 769.444,662.171 782.521,666.544 795.193,671.766 807.335,677.73 818.839,684.329 829.618,691.458 839.6,699.02 \n",
       "  848.73,706.922 856.968,715.079 864.286,723.413 870.667,731.853 876.103,740.334 880.592,748.8 884.139,757.197 886.754,765.478 888.447,773.6 889.234,781.522 \n",
       "  889.13,789.207 888.151,796.621 886.313,803.728 883.634,810.496 880.13,816.893 875.817,822.884 870.713,828.437 864.836,833.517 858.204,838.089 850.839,842.114 \n",
       "  842.763,845.556 834.005,848.374 824.596,850.526 814.573,851.971 803.982,852.665 792.876,852.565 781.317,851.631 769.379,849.821 757.149,847.102 744.726,843.443 \n",
       "  732.222,838.82 719.765,833.223 707.497,826.65 695.57,819.118 684.153,810.658 673.418,801.326 663.547,791.196 654.722,780.369 647.118,768.969 640.904,757.143 \n",
       "  636.231,745.06 633.225,732.909 631.987,720.89 632.58,709.211 635.03,698.08 639.32,687.699 645.394,678.253 653.152,669.906 662.46,662.792 673.149,657.015 \n",
       "  685.026,652.64 697.879,649.7 711.486,648.192 725.621,648.08 740.061,649.303 754.595,651.776 769.025,655.398 783.172,660.058 796.878,665.636 810.005,672.011 \n",
       "  822.439,679.065 834.085,686.682 844.87,694.756 854.736,703.185 863.645,711.877 871.57,720.751 878.496,729.729 884.418,738.747 889.339,747.743 893.266,756.664 \n",
       "  896.212,765.463 898.193,774.095 899.225,782.521 899.328,790.704 898.519,798.611 896.816,806.206 894.237,813.46 890.799,820.338 886.518,826.81 881.411,832.842 \n",
       "  875.492,838.4 868.78,843.449 861.291,847.95 853.045,851.864 844.066,855.15 834.381,857.765 824.02,859.661 813.026,860.794 801.443,861.115 789.331,860.576 \n",
       "  776.758,859.13 763.805,856.733 750.569,853.345 737.161,848.932 723.709,843.471 710.357,836.949 697.265,829.368 684.608,820.748 672.575,811.133 661.364,800.588 \n",
       "  651.178,789.207 642.218,777.109 634.68,764.445 628.747,751.389 624.577,738.143 622.301,724.924 622.013,711.965 623.764,699.501 627.559,687.766 633.355,676.977 \n",
       "  641.061,667.332 650.541,658.998 661.62,652.104 674.09,646.74 687.719,642.956 702.258,640.758 717.456,640.116 733.061,640.966 748.833,643.217 764.546,646.759 \n",
       "  779.996,651.465 795.003,657.201 809.411,663.831 823.09,671.221 835.933,679.241 847.859,687.77 858.804,696.696 868.725,705.917 877.595,715.342 885.4,724.89 \n",
       "  892.136,734.487 897.809,744.07 902.429,753.583 906.012,762.977 908.579,772.206 910.15,781.232 910.745,790.016 910.387,798.527 909.096,806.732 906.891,814.599 \n",
       "  903.791,822.098 899.81,829.199 894.966,835.869 889.272,842.077 882.742,847.786 875.39,852.961 867.232,857.562 858.284,861.547 848.567,864.873 838.106,867.491 \n",
       "  826.93,869.351 815.078,870.403 802.598,870.591 789.547,869.862 775.997,868.162 762.032,865.44 747.757,861.647 733.289,856.744 718.769,850.699 704.355,843.496 \n",
       "  690.225,835.132 676.573,825.629 663.611,815.031 651.56,803.409 640.651,790.869 631.11,777.545 623.161,763.609 617.005,749.26 612.823,734.728 610.756,720.264 \n",
       "  610.906,706.132 613.323,692.603 618.001,679.939 624.88,668.384 633.844,658.156 644.726,649.432 657.316,642.349 671.367,636.993 686.61,633.4 702.761,631.562 \n",
       "  719.533,631.427 736.647,632.906 753.84,635.883 770.867,640.221 787.514,645.77 803.592,652.375 818.943,659.881 833.437,668.139 846.974,677.009 859.478,686.36 \n",
       "  870.895,696.074 881.19,706.046 890.346,716.183 898.358,726.403 905.233,736.635 910.983,746.818 915.63,756.897 919.195,766.826 921.705,776.563 923.185,786.071 \n",
       "  923.661,795.317 923.158,804.269 921.697,812.898 919.3,821.176 915.984,829.073 911.766,836.561 906.659,843.61 900.677,850.187 893.829,856.259 886.126,861.788 \n",
       "  877.58,866.735 868.202,871.057 858.007,874.706 847.016,877.634 835.252,879.785 822.747,881.104 809.543,881.53 795.694,881.001 781.265,879.455 766.34,876.831 \n",
       "  751.019,873.069 735.423,868.117 719.696,861.931 704.001,854.48 688.528,845.749 673.487,835.747 659.109,824.507 645.641,812.095 633.341,798.612 622.471,784.197 \n",
       "  613.289,769.027 606.034,753.321 600.923,737.329 598.134,721.334 597.794,705.635 599.978,690.544 604.695,676.365 611.888,663.385 621.433,651.861 633.149,642.004 \n",
       "  646.799,633.975 662.104,627.878 678.758,623.758 696.435,621.603 714.81,621.351 733.564,622.898 752.398,626.107 771.038,630.815 789.244,636.85 806.806,644.03 \n",
       "  823.553,652.18 839.346,661.129 854.079,670.718 867.675,680.805 880.081,691.26 891.269,701.968 901.225,712.831 909.952,723.764 917.464,734.692 923.783,745.553 \n",
       "  928.935,756.294 932.951,766.868 935.864,777.237 937.705,787.365 938.505,797.221 938.294,806.777 937.096,816.006 934.937,824.883 931.834,833.381 927.805,841.475 \n",
       "  922.863,849.137 917.018,856.338 910.279,863.046 902.652,869.225 894.143,874.839 884.757,879.844 874.502,884.196 863.388,887.842 851.428,890.728 838.643,892.794 \n",
       "  825.063,893.976 810.726,894.204 795.684,893.409 780.007,891.517 763.78,888.455 747.111,884.153 730.133,878.546 713.001,871.581 695.902,863.215 679.046,853.428 \n",
       "  662.673,842.224 647.048,829.639 632.453,815.744 619.188,800.656 607.553,784.535 597.844,767.589 590.339,750.075 585.283,732.289 582.872,714.562 583.245,697.248 \n",
       "  586.471,680.709 592.542,665.297 601.369,651.337 612.789,639.113 626.566,628.854 642.407,620.72 659.973,614.803 678.9,611.125 698.808,609.641 719.325,610.249 \n",
       "  740.094,612.804 760.785,617.126 781.107,623.015 800.808,630.261 819.675,638.654 837.541,647.995 854.275,658.096 869.784,668.785 884.005,679.912 896.901,691.342 \n",
       "  908.459,702.962 918.684,714.674 927.594,726.395 935.215,738.056 941.583,749.601 946.738,760.98 950.718,772.154 953.566,783.087 955.319,793.752 956.016,804.121 \n",
       "  955.688,814.172 954.364,823.881 952.07,833.227 948.825,842.188 944.645,850.742 939.542,858.864 933.523,866.527 926.591,873.702 918.749,880.356 909.996,886.452 \n",
       "  900.33,891.949 889.75,896.801 878.257,900.956 865.855,904.356 852.552,906.939 838.367,908.634 823.325,909.367 807.466,909.058 790.845,907.622 773.538,904.973 \n",
       "  755.642,901.023 737.279,895.688 718.603,888.891 699.796,880.565 681.078,870.662 662.699,859.159 644.943,846.064 628.126,831.424 612.583,815.335 598.666,797.944 \n",
       "  586.729,779.459 577.113,760.143 570.131,740.317 566.05,720.351 565.07,700.651 567.317,681.644 572.823,663.752 581.527,647.381 593.269,632.888 607.803,620.57 \n",
       "  624.804,610.643 643.887,603.24 664.628,598.405 686.587,596.098 709.321,596.209 732.409,598.568 755.464,602.963 778.139,609.154 800.139,616.892 821.219,625.927 \n",
       "  841.185,636.022 859.89,646.955 877.233,658.527 893.146,670.565 907.596,682.917 920.575,695.456 932.098,708.075 942.191,720.686 950.894,733.216 958.255,745.608 \n",
       "  964.325,757.814 969.156,769.795 972.799,781.521 975.306,792.965 976.721,804.106 977.085,814.924 976.436,825.403 974.804,835.525 972.214,845.275 968.683,854.635 \n",
       "  964.227,863.586 958.853,872.109 952.563,880.179 945.356,887.77 937.227,894.852 928.167,901.39 918.164,907.345 907.209,912.669 895.29,917.312 882.399,921.214 \n",
       "  868.53,924.309 853.687,926.522 837.88,927.773 821.132,927.971 803.483,927.02 784.992,924.819 765.74,921.26 745.839,916.238 725.431,909.647 704.695,901.392 \n",
       "  683.852,891.391 663.162,879.583 642.931,865.943 623.503,850.483 605.26,833.267 588.611,814.423 573.978,794.145 561.785,772.702 552.429,750.439 546.268,727.768 \n",
       "  543.59,705.156 544.595,683.11 549.375,662.151 557.907,642.782 570.046,625.464 585.528,610.584 603.991,598.437 624.991,589.211 648.026,582.981 672.568,579.716 \n",
       "  698.087,579.287 724.074,581.492 750.063,586.07 775.64,592.73 800.454,601.163 824.219,611.065 846.712,622.149 867.767,634.149 887.275,646.831 905.17,659.993 \n",
       "  921.423,673.461 936.039,687.095 949.044,700.777 960.483,714.415 970.412,727.933 978.896,741.274 986.002,754.394 991.8,767.258 996.356,779.838 999.735,792.116 \n",
       "  1002,804.075 1003.19,815.701 1003.37,826.985 1002.57,837.916 1000.82,848.485 998.149,858.683 994.576,868.497 990.109,877.916 984.755,886.925 978.51,895.506 \n",
       "  971.367,903.638 963.313,911.296 954.33,918.45 944.398,925.066 933.492,931.101 921.587,936.507 908.659,941.229 894.683,945.203 879.64,948.353 863.517,950.598 \n",
       "  846.31,951.843 828.029,951.983 808.701,950.904 788.373,948.483 767.122,944.587 745.056,939.083 722.323,931.834 699.114,922.709 675.671,911.592 652.29,898.391 \n",
       "  629.322,883.045 607.174,865.547 586.303,845.948 567.205,824.378 550.401,801.055 536.417,776.293 525.755,750.505 518.861,724.199 516.102,697.957 517.724,672.414 \n",
       "  523.838,648.223 534.4,626.015 549.208,606.359 567.91,589.72 590.027,576.438 614.985,566.707 642.145,560.57 670.849,557.935 700.447,558.59 730.336,562.236 \n",
       "  759.971,568.513 788.89,577.035 816.711,587.412 843.138,599.269 867.953,612.264 891.01,626.094 912.224,640.5 931.559,655.264 949.022,670.209 964.651,685.193 \n",
       "  978.507,700.108 990.665,714.868 1001.21,729.411 1010.24,743.691 1017.85,757.674 1024.11,771.337 1029.13,784.666 1032.99,797.651 1035.74,810.285 1037.47,822.566 \n",
       "  1038.23,834.493 1038.07,846.064 1037.02,857.279 1035.13,868.137 1032.41,878.636 1028.87,888.773 1024.52,898.542 1019.37,907.937 1013.41,916.948 1006.61,925.561 \n",
       "  998.96,933.76 990.432,941.523 980.991,948.823 970.601,955.63 959.219,961.902 946.803,967.595 933.307,972.651 918.684,977.007 902.891,980.584 885.888,983.294 \n",
       "  867.644,985.036 848.139,985.691 827.366,985.13 805.344,983.205 782.116,979.756 757.761,974.61 732.4,967.587 706.207,958.501 679.416,947.174 652.327,933.441 \n",
       "  625.316,917.168 598.838,898.269 573.421,876.724 549.668,852.602 528.232,826.081 509.799,797.469 495.052,767.209 484.63,735.888 479.086,704.216 478.834,673.004 \n",
       "  484.113,643.115 494.954,615.408 511.169,590.682 532.355,569.606 557.921,552.679 587.131,540.192 619.158,532.225 653.136,528.656 688.219,529.196 723.621,533.428 \n",
       "  758.649,540.856 792.719,550.949 825.369,563.183 856.25,577.064 885.119,592.152 911.829,608.066 936.309,624.492 958.55,641.176 978.595,657.918 996.519,674.568 \n",
       "  1012.42,691.015 1026.43,707.179 1038.66,723.005 1049.25,738.46 1058.33,753.523 1066.01,768.183 1072.43,782.437 1077.68,796.29 1081.87,809.745 1085.08,822.813 \n",
       "  1087.41,835.501 1088.91,847.821 1089.65,859.783 1089.67,871.395 1089.02,882.669 1087.72,893.612 1085.81,904.232 1083.29,914.536 1080.17,924.529 1076.45,934.215 \n",
       "  1072.13,943.597 1067.18,952.674 1061.59,961.445 1055.32,969.906 1048.35,978.05 1040.64,985.865 1032.12,993.337 1022.77,1000.45 1012.5,1007.17 1001.27,1013.47 \n",
       "  988.998,1019.32 975.613,1024.66 961.039,1029.44 945.197,1033.58 928.006,1037.01 909.389,1039.62 889.273,1041.28 867.595,1041.87 844.306,1041.22 819.378,1039.15 \n",
       "  792.813,1035.44 764.653,1029.85 734.99,1022.14 703.981,1012.02 671.863,999.22 638.967,983.448 605.733,964.453 572.722,942.023 540.619,916.033 510.232,886.469 \n",
       "  482.478,853.475 458.345,817.386 438.852,778.763 424.975,738.398 417.575,697.306 417.311,656.684 424.566,617.834 439.389,582.061 461.474,550.568 490.172,524.335 \n",
       "  524.541,504.041 563.433,490.011 605.588,482.216 649.733,480.312 694.673,483.707 739.349,491.65 782.879,503.318 824.575,517.889 863.934,534.598 900.626,552.771 \n",
       "  934.465,571.848 965.385,591.375 993.409,611.007 1018.63,630.486 1041.19,649.633 1061.26,668.327 1079.04,686.492 1094.72,704.088 1108.5,721.098 1120.57,737.52 \n",
       "  1131.13,753.367 1140.35,768.654 1148.4,783.403 1155.42,797.636 1161.56,811.376 1166.93,824.647 1171.66,837.469 1175.84,849.863 1179.56,861.848 1182.91,873.442 \n",
       "  1185.96,884.66 1188.77,895.519 1191.4,906.031 1193.9,916.209 1196.32,926.064 1198.7,935.606 1201.09,944.844 1203.51,953.785 1206,962.438 1208.59,970.807 \n",
       "  1211.33,978.897 1214.23,986.713 1217.33,994.255 1220.67,1001.53 1224.27,1008.53 1228.18,1015.25 1232.43,1021.7 1237.06,1027.87 1242.12,1033.76 1247.65,1039.34 \n",
       "  1253.7,1044.62 1260.33,1049.57 1267.61,1054.18 1275.59,1058.42 1284.34,1062.27 1293.95,1065.69 1304.51,1068.64 1316.1,1071.07 1328.82,1072.94 1342.78,1074.16 \n",
       "  1358.1,1074.65 1374.89,1074.33 1393.29,1073.08 1413.41,1070.76 1435.39,1067.22 1459.35,1062.28 1485.4,1055.74 1513.65,1047.36 1544.16,1036.88 1576.96,1024.02 \n",
       "  1612.01,1008.45 1649.21,989.851 1688.33,967.902 1729.03,942.295 1770.78,912.782 1812.9,879.206 1854.46,841.561 1894.32,800.04 1931.16,755.108 1963.44,707.547 \n",
       "  1989.56,658.485 2007.95,609.394 2017.18,562.024 2016.18,518.281 2004.35,480.043 1981.69,448.961 1948.83,426.247 1906.99,412.529 1857.84,407.785 1803.34,411.383 \n",
       "  1745.52,422.205 1686.31,438.832 1627.4,459.737 1570.18,483.451 1515.67,508.689 1464.58,534.409 1417.32,559.836 1374.1,584.44 1334.91,607.902 1299.63,630.065 \n",
       "  1268.06,650.889 1239.92,670.417 1214.93,688.734 1192.77,705.954 1173.14,722.195 1155.72,737.572 1140.24,752.193 1126.43,766.148 1114.02,779.517 1102.8,792.365 \n",
       "  1092.53,804.743 1083.04,816.692 1074.15,828.241 1065.69,839.413 1057.51,850.221 1049.48,860.674 1041.49,870.773 1033.41,880.517 1025.15,889.9 1016.6,898.909 \n",
       "  1007.68,907.53 998.304,915.745 988.386,923.528 977.85,930.852 966.624,937.682 954.634,943.977 941.814,949.69 928.101,954.764 913.435,959.137 897.763,962.733 \n",
       "  881.04,965.468 863.233,967.245 844.32,967.956 824.298,967.48 803.186,965.683 781.03,962.423 757.909,957.546 733.943,950.895 709.3,942.312 684.199,931.645 \n",
       "  658.924,918.763 633.818,903.561 609.295,885.98 585.831,866.021 563.959,843.765 544.258,819.387 527.324,793.171 513.752,765.519 504.095,736.947 498.828,708.079 \n",
       "  498.311,679.616 502.754,652.306 512.193,626.895 526.476,604.075 545.273,584.441 568.088,568.444 594.299,556.368 623.194,548.319 654.022,544.233 686.037,543.896 \n",
       "  718.533,546.98 750.876,553.077 782.519,561.741 813.016,572.515 842.021,584.965 869.279,598.688 894.623,613.333 917.955,628.599 939.239,644.239 958.486,660.05 \n",
       "  975.745,675.878 991.088,691.602 1004.61,707.132 1016.41,722.404 1026.6,737.372 1035.29,752.005 1042.6,766.284 1048.61,780.199 1053.43,793.743 1057.14,806.916 \n",
       "  1059.83,819.72 1061.56,832.159 1062.4,844.238 1062.4,855.96 1061.6,867.332 1060.03,878.357 1057.72,889.039 1054.67,899.379 1050.91,909.379 1046.42,919.037 \n",
       "  1041.21,928.349 1035.25,937.309 1028.52,945.909 1020.99,954.134 1012.64,961.97 1003.41,969.393 993.26,976.376 982.142,982.887 969.997,988.883 956.767,994.314 \n",
       "  942.392,999.122 926.81,1003.23 909.962,1006.56 891.793,1009.02 872.254,1010.48 851.311,1010.81 828.943,1009.87 805.156,1007.47 779.985,1003.45 753.505,997.582 \n",
       "  725.842,989.656 697.18,979.445 667.779,966.726 637.979,951.291 608.212,932.966 579.007,911.63 550.99,887.245 524.876,859.88 501.448,829.744 481.531,797.205 \n",
       "  465.94,762.809 455.438,727.279 450.667,691.495 452.088,656.456 459.936,623.216 474.176,592.808 494.499,566.161 520.335,544.024 550.899,526.906 585.247,515.046 \n",
       "  622.356,508.418 661.192,506.755 700.775,509.601 740.228,516.377 778.808,526.437 815.917,539.129 851.107,553.833 884.064,569.994 914.596,587.133 942.61,604.856 \n",
       "  968.093,622.851 991.095,640.875 1011.71,658.749 1030.06,676.345 1046.3,693.575 1060.58,710.384 1073.07,726.738 1083.91,742.621 1093.27,758.029 1101.29,772.968 \n",
       "  1108.11,787.446 1113.85,801.476 1118.63,815.074 1122.55,828.256 1125.7,841.037 1128.16,853.435 1130.01,865.464 1131.31,877.14 1132.09,888.477 1132.42,899.489 \n",
       "  1132.32,910.188 1131.82,920.587 1130.95,930.697 1129.71,940.529 1128.12,950.093 1126.18,959.396 1123.88,968.449 1121.23,977.259 1118.21,985.832 1114.8,994.174 \n",
       "  1110.99,1002.29 1106.74,1010.18 1102.03,1017.86 1096.82,1025.31 1091.07,1032.55 1084.74,1039.56 1077.77,1046.35 1070.11,1052.9 1061.69,1059.2 1052.45,1065.24 \n",
       "  1042.3,1070.99 1031.17,1076.44 1018.97,1081.53 1005.6,1086.24 990.954,1090.51 974.928,1094.26 957.407,1097.42 938.276,1099.89 917.42,1101.54 894.726,1102.22 \n",
       "  870.09,1101.76 843.425,1099.96 814.667,1096.56 783.789,1091.27 750.815,1083.79 715.838,1073.74 679.039,1060.73 640.714,1044.34 601.297,1024.16 561.383,999.789 \n",
       "  521.754,970.905 483.383,937.305 447.434,898.966 415.23,856.12 388.203,809.311 367.798,759.445 355.36,707.803 351.995,655.996 358.435,605.877 374.923,559.377 \n",
       "  401.153,518.319 436.277,484.221 478.978,458.133 527.61,440.539 580.36,431.354 635.421,429.99 691.125,435.484 746.047,446.655 799.054,462.25 849.311,481.067 \n",
       "  896.261,502.034 939.585,524.252 979.16,547.013 1015.01,569.784 1047.25,592.186 1076.1,613.968 1101.8,634.974 1124.62,655.123 1144.84,674.382 1162.75,692.754 \n",
       "  1178.61,710.263 1192.69,726.942 1205.24,742.834 1216.48,757.98 1226.63,772.421 1235.87,786.194 1244.39,799.333 1252.34,811.868 1259.88,823.823 1267.13,835.218 \n",
       "  1274.21,846.069 1281.25,856.388 1288.34,866.183 1295.57,875.457 1303.05,884.208 1310.85,892.431 1319.06,900.115 1327.74,907.247 1336.99,913.806 1346.88,919.767 \n",
       "  1357.48,925.097 1368.85,929.758 1381.09,933.704 1394.25,936.882 1408.42,939.229 1423.65,940.675 1440.01,941.136 1457.55,940.522 1476.33,938.73 1496.38,935.646 \n",
       "  1517.73,931.148 1540.36,925.103 1564.24,917.375 1589.31,907.823 1615.45,896.313 1642.5,882.717 1670.22,866.934 1698.31,848.893 1726.39,828.573 1753.99,806.021 \n",
       "  1780.56,781.367 1805.47,754.845 1828.01,726.805 1847.48,697.723 1863.12,668.201 1874.25,638.95 1880.28,610.761 1880.73,584.465 1875.35,560.871 1864.1,540.707 \n",
       "  1847.17,524.56 1824.99,512.827 1798.2,505.684 1767.59,503.082 1734.04,504.766 1698.49,510.311 1661.84,519.181 1624.92,530.774 1588.45,544.485 1553.06,559.738 \n",
       "  1519.21,576.023 1487.27,592.907 1457.46,610.043 1429.93,627.168 1404.75,644.088 1381.9,660.674 1361.33,676.844 1342.95,692.557 1326.65,707.794 1312.29,722.559 \n",
       "  1299.73,736.864 1288.84,750.728 1279.48,764.175 1271.5,777.227 1264.79,789.905 1259.23,802.227 1254.71,814.209 1251.14,825.866 1248.43,837.207 1246.5,848.24 \n",
       "  1245.3,858.972 1244.76,869.406 1244.84,879.544 1245.51,889.387 1246.73,898.934 1248.49,908.183 1250.78,917.13 1253.58,925.771 1256.91,934.099 1260.76,942.106 \n",
       "  1265.16,949.783 1270.13,957.119 1275.69,964.1 1281.88,970.709 1288.73,976.927 1296.29,982.731 1304.62,988.093 1313.76,992.982 1323.79,997.358 1334.77,1001.18 \n",
       "  1346.78,1004.39 1359.9,1006.93 1374.2,1008.73 1389.79,1009.71 1406.76,1009.77 1425.18,1008.8 1445.16,1006.67 1466.76,1003.25 1490.07,998.366 1515.14,991.842 \n",
       "  1541.99,983.483 1570.61,973.074 1600.95,960.393 1632.89,945.213 1666.22,927.315 1700.67,906.504 1735.81,882.63 1771.11,855.611 1805.89,825.475 1839.32,792.381 \n",
       "  1870.44,756.669 1898.19,718.881 1921.42,679.781 1939.01,640.354 1949.9,601.773 1953.26,565.334 1948.49,532.359 1935.4,504.081 1914.17,481.516 1885.42,465.361 \n",
       "  1850.1,455.92 1809.46,453.091 1764.89,456.398 1717.83,465.079 1669.65,478.184 1621.57,494.695 1574.61,513.618 1529.57,534.062 1487.03,555.276 1447.37,576.672 \n",
       "  1410.81,597.817 1377.41,618.419 1347.16,638.3 1319.94,657.369 1295.59,675.602 1273.91,693.016 1254.69,709.657 1237.7,725.583 1222.72,740.858 1209.53,755.546 \n",
       "  1197.92,769.706 1187.69,783.389 1178.66,796.642 1170.65,809.504 1163.52,822.005 1157.12,834.173 1151.33,846.028 1146.03,857.586 1141.1,868.863 1136.47,879.868 \n",
       "  1132.04,890.609 1127.73,901.093 1123.47,911.326 1119.19,921.311 1114.84,931.052 1110.36,940.551 1105.68,949.809 1100.75,958.827 1095.52,967.603 1089.93,976.137 \n",
       "  1083.93,984.425 1077.46,992.463 1070.47,1000.24 1062.88,1007.76 1054.65,1014.99 1045.69,1021.93 1035.94,1028.56 1025.32,1034.84 1013.75,1040.75 1001.14,1046.25 \n",
       "  987.401,1051.29 972.444,1055.81 956.168,1059.74 938.478,1062.98 919.276,1065.44 898.469,1066.99 875.973,1067.49 851.716,1066.75 825.648,1064.58 797.747,1060.74 \n",
       "  768.033,1054.97 736.58,1046.99 703.531,1036.46 669.118,1023.07 633.679,1006.46 597.676,986.32 561.713,962.377 526.545,934.438 493.08,902.437 462.358,866.489 \n",
       "  435.527,826.934 413.775,784.378 398.261,739.716 390.009,694.119 389.813,648.991 398.13,605.867 415.016,566.299 440.092,531.702 472.564,503.215 511.294,481.598 \n",
       "  554.906,467.17 601.91,459.819 650.828,459.052 700.298,464.101 749.14,474.027 796.402,487.834 841.367,504.557 883.537,523.321 922.608,543.38 958.439,564.128 \n",
       "  991.014,585.098 1020.41,605.942 1046.77,626.417 1070.29,646.36 1091.19,665.672 1109.69,684.303 1126.04,702.23 1140.46,719.457 1153.17,735.999 1164.39,751.881 \n",
       "  1174.31,767.13 1183.12,781.777 1190.99,795.851 1198.06,809.38 1204.48,822.39 1210.38,834.904 1215.87,846.944 1221.05,858.528 1226.02,869.672 1230.86,880.39 \n",
       "  1235.66,890.694 1240.49,900.591 1245.42,910.089 1250.51,919.192 1255.83,927.901 1261.43,936.215 1267.38,944.131 1273.74,951.641 1280.56,958.735 1287.92,965.4 \n",
       "  1295.87,971.617 1304.47,977.365 1313.81,982.614 1323.96,987.331 1334.98,991.477 1346.97,995.002 1360,997.85 1374.16,999.953 1389.54,1001.23 1406.24,1001.6 \n",
       "  1424.34,1000.96 1443.93,999.171 1465.09,996.113 1487.88,991.629 1512.37,985.548 1538.57,977.684 1566.49,967.835 1596.06,955.788 1627.18,941.33 1659.67,924.25 \n",
       "  1693.24,904.364 1727.51,881.524 1761.99,855.652 1796.03,826.759 1828.86,794.991 1859.58,760.65 1887.16,724.231 1910.53,686.436 1928.61,648.176 1940.39,610.543 \n",
       "  1945.01,574.76 1941.87,542.085 1930.72,513.717 1911.66,490.666 1885.2,473.663 1852.19,463.077 1813.76,458.896 1771.22,460.746 1725.94,467.96 1679.27,479.676 \n",
       "  1632.39,494.935 1586.35,512.783 1541.96,532.344 1499.85,552.864 1460.43,573.74 1423.96,594.517 1390.54,614.874 1360.18,634.609 1332.8,653.608 1308.26,671.826 \n",
       "  1286.38,689.265 1266.96,705.956 1249.8,721.95 1234.67,737.302 1221.36,752.072 1209.67,766.316 1199.41,780.084 1190.39,793.42 1182.45,806.363 1175.43,818.945 \n",
       "  1169.21,831.192 1163.64,843.126 1158.62,854.763 1154.05,866.118 1149.82,877.203 1145.86,888.026 1142.09,898.595 1138.45,908.917 1134.87,918.996 1131.29,928.837 \n",
       "  1127.65,938.445 1123.92,947.821 1120.04,956.97 1115.95,965.892 1111.63,974.591 1107.01,983.067 1102.05,991.32 1096.71,999.349 1090.93,1007.15 1084.66,1014.73 \n",
       "  1077.84,1022.06 1070.41,1029.16 1062.32,1036 1053.48,1042.57 1043.83,1048.85 1033.29,1054.82 1021.78,1060.45 1009.2,1065.69 995.454,1070.51 980.45,1074.84 \n",
       "  964.08,1078.61 946.238,1081.73 926.816,1084.1 905.708,1085.59 882.817,1086.05 858.055,1085.3 831.354,1083.12 802.675,1079.28 772.019,1073.49 739.443,1065.43 \n",
       "  705.074,1054.77 669.132,1041.13 631.952,1024.12 594.003,1003.39 555.911,978.59 518.471,949.486 482.655,915.958 449.591,878.083 420.541,836.183 396.824,790.883 \n",
       "  379.745,743.137 370.467,694.22 369.903,645.686 378.592,599.252 396.615,556.663 423.556,519.514 458.527,489.087 500.245,466.219 547.165,451.241 597.621,443.985 \n",
       "  649.975,443.854 702.731,449.945 754.619,461.177 804.627,476.421 852.012,494.601 896.278,514.759 937.14,536.092 974.486,557.964 1008.33,579.891 1038.8,601.526 \n",
       "  1066.07,622.636 1090.37,643.071 1111.94,662.749 1131.04,681.634 1147.94,699.719 1162.88,717.021 1176.12,733.567 1187.87,749.39 1198.34,764.525 1207.75,779.009 \n",
       "  1216.25,792.875 1224.03,806.154 1231.22,818.872 1237.97,831.054 1244.39,842.72 1250.61,853.888 1256.72,864.57 1262.82,874.777 1269,884.516 1275.34,893.789 \n",
       "  1281.92,902.598 1288.82,910.937 1296.11,918.801 1303.86,926.176 1312.14,933.048 1321.02,939.395 1330.58,945.19 1340.88,950.403 1352.01,954.994 1364.04,958.916 \n",
       "  1377.04,962.116 1391.1,964.53 1406.28,966.084 1422.67,966.694 1440.33,966.263 1459.34,964.682 1479.75,961.828 1501.61,957.566 1524.93,951.748 1549.71,944.215 \n",
       "  1575.91,934.8 1603.46,923.333 1632.21,909.651 1661.96,893.6 1692.43,875.058 1723.24,853.945 1753.91,830.247 1783.87,804.037 1812.43,775.501 1838.82,744.956 \n",
       "  1862.19,712.873 1881.67,679.884 1896.39,646.768 1905.57,614.432 1908.58,583.86 1905,556.049 1894.65,531.926 1877.67,512.27 1854.48,497.64 1825.77,488.323 \n",
       "  1792.46,484.323 1755.57,485.371 1716.21,490.976 1675.47,500.49 1634.35,513.18 1593.71,528.3 1554.28,545.145 1516.62,563.094 1481.14,581.627 1448.09,600.335 \n",
       "  1417.64,618.914 1389.82,637.152 1364.62,654.912 1341.96,672.12 1321.71,688.742 1303.72,704.777 1287.84,720.244 1273.89,735.173 1261.7,749.598 1251.11,763.557 \n",
       "  1241.94,777.084 1234.06,790.212 1227.32,802.968 1221.6,815.376 1216.77,827.458 1212.74,839.23 1209.4,850.705 1206.68,861.895 1204.51,872.809 1202.81,883.455 \n",
       "  1201.55,893.837 1200.66,903.962 1200.12,913.833 1199.89,923.454 1199.95,932.828 1200.27,941.958 1200.84,950.846 1201.64,959.494 1202.68,967.904 1203.94,976.077 \n",
       "  1205.44,984.016 1207.17,991.72 1209.14,999.191 1211.36,1006.43 1213.85,1013.43 1216.62,1020.2 1219.71,1026.73 1223.12,1033.02 1226.89,1039.06 1231.05,1044.85 \n",
       "  1235.63,1050.39 1240.69,1055.65 1246.26,1060.64 1252.39,1065.34 1259.14,1069.72 1266.57,1073.78 1274.75,1077.48 1283.75,1080.79 1293.67,1083.67 1304.58,1086.09 \n",
       "  1316.58,1087.99 1329.79,1089.31 1344.31,1089.97 1360.27,1089.88 1377.79,1088.94 1397.02,1087.03 1418.08,1083.99 1441.12,1079.67 1466.27,1073.87 1493.65,1066.36 \n",
       "  1523.35,1056.87 1555.45,1045.14 1589.96,1030.83 1626.83,1013.6 1665.93,993.112 1706.97,969.002 1749.56,940.956 1793.09,908.723 1836.73,872.175 1879.44,831.356 \n",
       "  1919.93,786.56 1956.68,738.39 1988.02,687.815 2012.21,636.191 2027.61,585.232 2032.81,536.914 2026.83,493.312 2009.31,456.384 1980.55,427.732 1941.51,408.392 \n",
       "  1893.78,398.713 1839.32,398.329 1780.32,406.264 1718.93,421.1 1657.09,441.202 1596.44,464.925 1538.25,490.769 1483.41,517.486 1432.48,544.121 1385.75,570 \n",
       "  1343.29,594.701 1305.01,618.002 1270.7,639.826 1240.11,660.201 1212.92,679.214 1188.8,696.987 1167.43,713.653 1148.48,729.344 1131.64,744.182 1116.61,758.276 \n",
       "  1103.13,771.718 1090.94,784.584 1079.81,796.934 1069.54,808.816 1059.92,820.265 1050.78,831.307 1041.98,841.958 1033.35,852.226 1024.78,862.115 1016.15,871.62 \n",
       "  1007.33,880.735 998.24,889.444 988.777,897.731 978.856,905.572 968.396,912.94 957.321,919.801 945.558,926.115 933.043,931.837 919.715,936.913 905.519,941.283 \n",
       "  890.409,944.876 874.346,947.614 857.303,949.407 839.269,950.157 820.248,949.755 800.266,948.081 779.374,945.01 757.657,940.41 735.233,934.144 712.265,926.082 \n",
       "  688.963,916.101 665.587,904.095 642.455,889.99 619.937,873.751 598.46,855.395 578.493,835.013 560.539,812.773 545.116,788.936 532.732,763.862 523.862,738.003 \n",
       "  518.91,711.898 518.184,686.151 521.866,661.4 529.993,638.285 542.448,617.402 558.961,599.271 579.123,584.295 602.414,572.744 628.232,564.741 655.935,560.267 \n",
       "  684.872,559.174 714.419,561.211 744.005,566.055 773.126,573.335 801.361,582.666 828.369,593.668 853.893,605.986 877.749,619.297 899.82,633.322 920.042,647.821 \n",
       "  938.4,662.597 954.914,677.492 969.632,692.379 982.62,707.161 993.957,721.762 1003.73,736.128 1012.04,750.218 1018.96,764.005 1024.59,777.467 1029.01,790.593 \n",
       "  1032.3,803.373 1034.52,815.803 1035.74,827.881 1036.01,839.603 1035.38,850.97 1033.87,861.979 1031.51,872.63 1028.33,882.918 1024.34,892.84 1019.53,902.389 \n",
       "  1013.9,911.555 1007.45,920.326 1000.15,928.687 991.974,936.618 982.899,944.093 972.888,951.084 961.903,957.553 949.9,963.457 936.837,968.742 922.668,973.348 \n",
       "  907.35,977.202 890.844,980.22 873.117,982.305 854.145,983.347 833.919,983.22 812.45,981.786 789.772,978.889 765.953,974.364 741.1,968.035 715.369,959.721 \n",
       "  688.97,949.243 662.179,936.436 635.343,921.157 608.886,903.305 583.306,882.839 559.172,859.799 537.115,834.323 517.801,806.671 501.906,777.237 490.079,746.551 \n",
       "  482.895,715.274 480.812,684.173 484.126,654.082 492.942,625.857 507.148,600.307 526.42,578.139 550.24,559.907 577.928,545.973 608.697,536.489 641.705,531.406 \n",
       "  676.107,530.496 711.103,533.391 745.974,539.63 780.105,548.7 812.994,560.08 844.255,573.271 873.611,587.82 900.88,603.329 925.964,619.464 948.832,635.95 \n",
       "  969.506,652.572 988.047,669.163 1004.55,685.597 1019.12,701.783 1031.88,717.66 1042.95,733.183 1052.48,748.328 1060.57,763.079 1067.35,777.43 1072.92,791.383 \n",
       "  1077.4,804.94 1080.86,818.108 1083.4,830.897 1085.09,843.314 1085.98,855.371 1086.13,867.076 1085.58,878.438 1084.36,889.466 1082.5,900.167 1080.02,910.547 \n",
       "  1076.92,920.612 1073.21,930.365 1068.87,939.807 1063.89,948.94 1058.26,957.76 1051.94,966.263 1044.9,974.442 1037.11,982.283 1028.51,989.773 1019.05,996.891 \n",
       "  1008.68,1003.61 997.328,1009.9 984.934,1015.72 971.421,1021.02 956.716,1025.73 940.741,1029.8 923.419,1033.13 904.676,1035.61 884.444,1037.13 862.664,1037.55 \n",
       "  839.294,1036.7 814.314,1034.4 787.735,1030.44 759.608,1024.57 730.038,1016.55 699.195,1006.11 667.33,992.973 634.788,976.866 602.023,957.552 569.607,934.843 \n",
       "  538.23,908.636 508.706,878.946 481.939,845.95 458.902,810.015 440.585,771.725 427.921,731.892 421.72,691.538 422.583,651.847 430.833,614.09 446.466,579.529 \n",
       "  469.131,549.302 498.153,524.324 532.586,505.21 571.29,492.229 613.036,485.315 656.591,484.099 700.802,487.989 744.656,496.247 787.314,508.071 828.122,522.669 \n",
       "  866.606,539.305 902.455,557.336 935.497,576.223 965.675,595.537 993.015,614.945 1017.61,634.203 1039.6,653.138 1059.16,671.634 1076.47,689.619 1091.72,707.052 \n",
       "  1105.11,723.916 1116.83,740.21 1127.05,755.945 1135.96,771.135 1143.71,785.801 1150.44,799.963 1156.29,813.645 1161.37,826.868 1165.81,839.652 1169.69,852.018 \n",
       "  1173.1,863.984 1176.13,875.568 1178.82,886.786 1181.26,897.653 1183.49,908.182 1185.56,918.387 1187.51,928.278 1189.38,937.867 1191.21,947.163 1193.03,956.175 \n",
       "  1194.86,964.911 1196.74,973.379 1198.68,981.584 1200.73,989.533 1202.89,997.23 1205.19,1004.68 1207.67,1011.88 1210.35,1018.84 1213.24,1025.56 1216.39,1032.04 \n",
       "  1219.83,1038.27 1223.58,1044.26 1227.68,1050 1232.18,1055.48 1237.11,1060.71 1242.52,1065.66 1248.47,1070.32 1255,1074.68 1262.19,1078.73 1270.1,1082.43 \n",
       "  1278.8,1085.76 1288.38,1088.68 1298.92,1091.16 1310.53,1093.15 1323.3,1094.57 1337.36,1095.38 1352.81,1095.47 1369.8,1094.76 1388.45,1093.12 1408.92,1090.42 \n",
       "  1431.33,1086.5 1455.82,1081.16 1482.53,1074.19 1511.58,1065.35 1543.04,1054.34 1576.95,1040.85 1613.31,1024.55 1652,1005.08 1692.81,982.059 1735.38,955.156 \n",
       "  1779.18,924.078 1823.47,888.632 1867.25,848.787 1909.3,804.733 1948.14,756.961 1982.13,706.319 2009.48,654.049 2028.44,601.786 2037.48,551.476 2035.41,505.242 \n",
       "  2021.61,465.165 1996.16,433.045 1959.82,410.166 1914.03,397.128 1860.69,393.792 1802,399.335 1740.2,412.418 1677.36,431.403 1615.28,454.575 1555.37,480.331 \n",
       "  1498.64,507.303 1445.76,534.418 1397.11,560.904 1352.81,586.261 1312.79,610.208 1276.9,632.636 1244.85,653.549 1216.35,673.027 1191.07,691.19 1168.66,708.176 \n",
       "  1148.8,724.125 1131.16,739.166 1115.43,753.417 1101.34,766.976 1088.62,779.926 1077.04,792.335 1066.37,804.255 1056.41,815.724 1046.98,826.771 1037.93,837.415 \n",
       "  1029.09,847.666 1020.33,857.528 1011.53,866.998 1002.58,876.069 993.372,884.726 983.811,892.952 973.809,900.723 963.284,908.012 952.161,914.784 940.367,920.999 \n",
       "  927.84,926.611 914.519,931.567 900.354,935.805 885.3,939.256 869.323,941.841 852.401,943.473 834.527,944.055 815.711,943.48 795.985,941.633 775.408,938.392 \n",
       "  754.068,933.633 732.091,927.227 709.644,919.053 686.94,908.999 664.242,896.974 641.865,882.917 620.175,866.807 599.587,848.679 580.555,828.636 563.562,806.857 \n",
       "  549.098,783.612 537.643,759.258 529.634,734.242 525.441,709.086 525.336,684.369 529.471,660.699 537.861,638.675 550.375,618.854 566.738,601.715 586.55,587.626 \n",
       "  609.308,576.829 634.438,569.428 661.327,565.396 689.36,564.587 717.947,566.762 746.545,571.612 774.681,578.789 801.954,587.931 828.042,598.678 852.698,610.695 \n",
       "  875.746,623.677 897.071,637.359 916.611,651.512 934.349,665.946 950.3,680.51 964.507,695.079 977.029,709.557 987.942,723.872 997.326,737.966 1005.27,751.8 \n",
       "  1011.85,765.342 1017.15,778.572 1021.25,791.475 1024.23,804.039 1026.14,816.26 1027.04,828.13 1026.98,839.647 1026.01,850.807 1024.14,861.607 1021.42,872.043 \n",
       "  1017.85,882.108 1013.43,891.796 1008.18,901.096 1002.09,909.997 995.139,918.482 987.311,926.532 978.581,934.123 968.921,941.225 958.297,947.803 946.673,953.814 \n",
       "  934.008,959.207 920.266,963.925 905.406,967.896 889.396,971.042 872.207,973.27 853.821,974.475 834.231,974.54 813.452,973.332 791.519,970.709 768.5,966.514 \n",
       "  744.5,960.585 719.665,952.752 694.198,942.852 668.359,930.73 642.474,916.257 616.939,899.341 592.22,879.943 568.848,858.099 547.409,833.938 528.526,807.695 \n",
       "  512.83,779.728 500.931,750.524 493.376,720.685 490.607,690.916 492.923,661.989 500.447,634.699 513.111,609.809 530.645,587.998 552.597,569.811 578.363,555.623 \n",
       "  607.223,545.62 638.4,539.801 671.099,537.993 704.559,539.89 738.083,545.082 771.064,553.107 802.999,563.481 833.49,575.733 862.243,589.425 889.056,604.17 \n",
       "  913.809,619.634 936.448,635.54 956.974,651.666 975.431,667.836 991.89,683.916 1006.45,699.806 1019.21,715.436 1030.3,730.753 1039.82,745.726 1047.9,760.332 \n",
       "  1054.64,774.562 1060.16,788.41 1064.54,801.877 1067.88,814.966 1070.25,827.681 1071.72,840.03 1072.35,852.02 1072.2,863.657 1071.29,874.948 1069.66,885.898 \n",
       "  1067.33,896.514 1064.32,906.797 1060.63,916.751 1056.26,926.375 1051.2,935.669 1045.42,944.627 1038.92,953.243 1031.65,961.506 1023.58,969.402 1014.68,976.913 \n",
       "  1004.88,984.015 994.13,990.678 982.381,996.864 969.566,1002.53 955.619,1007.62 940.472,1012.06 924.059,1015.79 906.313,1018.7 887.175,1020.69 866.594,1021.63 \n",
       "  844.532,1021.38 820.972,1019.76 795.923,1016.6 769.43,1011.67 741.585,1004.76 712.534,995.629 682.495,984.027 651.768,969.717 620.743,952.478 589.917,932.135 \n",
       "  559.891,908.579 531.372,881.802 505.156,851.923 482.108,819.224 463.117,784.172 449.051,747.43 440.683,709.852 438.632,672.452 443.294,636.345 454.793,602.675 \n",
       "  472.95,572.518 497.29,546.796 527.074,526.192 561.354,511.109 599.059,501.646 639.069,497.62 680.297,498.615 721.748,504.046 762.564,513.23 802.044,525.452 \n",
       "  839.651,540.021 875,556.306 907.847,573.761 938.062,591.93 965.611,610.45 990.532,629.039 1012.92,647.49 1032.9,665.653 1050.62,683.429 1066.26,700.751 \n",
       "  1079.99,717.584 1091.98,733.91 1102.41,749.725 1111.42,765.034 1119.18,779.851 1125.82,794.19 1131.48,808.068 1136.26,821.506 1140.27,834.519 1143.6,847.128 \n",
       "  1146.34,859.35 1148.56,871.201 1150.32,882.698 1151.68,893.856 1152.68,904.688 1153.35,915.209 1153.74,925.431 1153.87,935.367 1153.76,945.026 1153.43,954.421 \n",
       "  1152.89,963.561 1152.15,972.456 1151.21,981.115 1150.08,989.547 1148.75,997.759 1147.22,1005.76 1145.49,1013.56 1143.53,1021.15 1141.34,1028.56 1138.91,1035.79 \n",
       "  1136.2,1042.83 1133.21,1049.7 1129.9,1056.4 1126.25,1062.94 1122.23,1069.32 1117.79,1075.53 1112.9,1081.59 1107.51,1087.49 1101.57,1093.22 1095.03,1098.8 \n",
       "  1087.82,1104.21 1079.87,1109.43 1071.11,1114.47 1061.46,1119.3 1050.83,1123.9 1039.11,1128.24 1026.21,1132.28 1011.99,1135.98 996.35,1139.27 979.144,1142.07 \n",
       "  960.238,1144.3 939.487,1145.84 916.746,1146.53 891.872,1146.21 864.733,1144.67 835.212,1141.64 803.224,1136.83 768.726,1129.88 731.741,1120.39 692.379,1107.89 \n",
       "  650.869,1091.87 607.587,1071.81 563.097,1047.17 518.182,1017.43 473.869,982.217 431.444,941.293 392.439,894.711 358.578,842.886 331.686,786.682 313.548,727.47 \n",
       "  305.725,667.107 309.365,607.848 325.017,552.154 352.523,502.441 390.984,460.792 438.851,428.705 494.095,406.928 554.437,395.426 617.59,393.463 681.457,399.786 \n",
       "  744.266,412.843 804.642,431 861.603,452.709 914.531,476.619 963.108,501.63 1007.25,526.9 1047.04,551.824 1082.69,575.997 1114.47,599.171 1142.71,621.215 \n",
       "  1167.75,642.077 1189.94,661.764 1209.62,680.312 1227.11,697.778 1242.72,714.224 1256.74,729.716 1269.41,744.314 1280.99,758.072 1291.69,771.04 1301.71,783.257 \n",
       "  1311.23,794.756 1320.42,805.563 1329.42,815.697 1338.37,825.168 1347.39,833.983 1356.58,842.14 1366.06,849.633 1375.92,856.449 1386.24,862.569 1397.1,867.968 \n",
       "  1408.57,872.614 1420.73,876.469 1433.63,879.489 1447.32,881.623 1461.85,882.813 1477.25,882.996 1493.56,882.101 1510.77,880.053 1528.89,876.773 1547.88,872.179 \n",
       "  1567.69,866.191 1588.26,858.731 1609.45,849.728 1631.13,839.127 1653.1,826.891 1675.12,813.011 1696.91,797.514 1718.13,780.473 1738.39,762.013 1757.29,742.323 \n",
       "  1774.36,721.659 1789.15,700.345 1801.2,678.772 1810.09,657.388 1815.44,636.683 1816.96,617.163 1814.46,599.328 1807.91,583.638 1797.35,570.485 1783.01,560.166 \n",
       "  1765.22,552.865 1744.41,548.647 1721.11,547.455 1695.87,549.129 1669.29,553.418 1641.93,560.014 1614.33,568.572 1586.97,578.735 1560.26,590.159 1534.55,602.525 \n",
       "  1510.09,615.551 1487.11,628.995 1465.72,642.659 1446.03,656.387 1428.07,670.055 1411.84,683.574 1397.33,696.877 1384.48,709.919 1373.23,722.669 1363.51,735.108 \n",
       "  1355.24,747.223 1348.36,759.008 1342.77,770.457 1338.41,781.568 1335.2,792.335 1333.08,802.756 1332.01,812.825 1331.92,822.534 1332.78,831.874 1334.55,840.834 \n",
       "  1337.22,849.4 1340.76,857.556 1345.16,865.282 1350.42,872.556 1356.55,879.352 1363.55,885.642 1371.45,891.391 1380.26,896.562 1390.01,901.111 1400.73,904.991 \n",
       "  1412.45,908.146 1425.21,910.515 1439.04,912.03 1453.96,912.615 1470.01,912.188 1487.2,910.657 1505.55,907.926 1525.04,903.889 1545.65,898.438 1567.33,891.463 \n",
       "  1589.99,882.856 1613.51,872.514 1637.73,860.348 1662.43,846.291 1687.34,830.307 1712.1,812.403 1736.34,792.641 1759.57,771.152 1781.29,748.15 1800.92,723.934 \n",
       "  1817.89,698.902 1831.61,673.54 1841.53,648.416 1847.18,624.153 1848.19,601.405 1844.36,580.808 1835.61,562.943 1822.08,548.292 1804.07,537.202 1782.04,529.858 \n",
       "  1756.6,526.282 1728.43,526.337 1698.26,529.748 1666.82,536.14 1634.81,545.072 1602.86,556.078 1571.52,568.699 1541.25,582.506 1512.4,597.121 1485.23,612.225 \n",
       "  1459.92,627.558 1436.58,642.919 1415.26,658.158 1395.95,673.168 1378.61,687.879 1363.18,702.247 1349.56,716.247 1337.66,729.87 1327.38,743.114 1318.61,755.985 \n",
       "  1311.24,768.489 1305.16,780.636 1300.3,792.432 1296.55,803.885 1293.84,815 1292.1,825.779 1291.27,836.223 1291.3,846.331 1292.14,856.098 1293.77,865.52 \n",
       "  1296.16,874.588 1299.29,883.293 1303.17,891.621 1307.78,899.557 1313.14,907.084 1319.26,914.18 1326.16,920.822 1333.88,926.98 1342.45,932.623 1351.91,937.711 \n",
       "  1362.3,942.203 1373.68,946.046 1386.09,949.185 1399.61,951.554 1414.28,953.077 1430.16,953.671 1447.31,953.241 1465.78,951.679 1485.61,948.87 1506.83,944.682 \n",
       "  1529.44,938.978 1553.43,931.609 1578.75,922.422 1605.3,911.263 1632.94,897.985 1661.45,882.459 1690.57,864.581 1719.91,844.294 1749.03,821.603 1777.37,796.596 \n",
       "  1804.29,769.463 1829.07,740.518 1850.94,710.213 1869.09,679.138 1882.74,648.015 1891.2,617.676 1893.89,589.015 1890.44,562.932 1880.71,540.265 1864.82,521.716 \n",
       "  1843.14,507.794 1816.32,498.769 1785.14,494.659 1750.58,495.241 1713.61,500.092 1675.24,508.645 1636.39,520.25 1597.87,534.234 1560.38,549.956 1524.45,566.84 \n",
       "  1490.48,584.4 1458.76,602.241 1429.43,620.065 1402.57,637.656 1378.19,654.871 1356.22,671.621 1336.56,687.86 1319.09,703.576 1303.66,718.773 1290.13,733.471 \n",
       "  1278.33,747.696 1268.12,761.476 1259.34,774.84 1251.86,787.815 1245.56,800.423 1240.3,812.686 1235.98,824.621 1232.51,836.242 1229.81,847.56 1227.79,858.584 \n",
       "  1226.39,869.322 1225.56,879.778 1225.24,889.955 1225.42,899.858 1226.04,909.486 1227.1,918.841 1228.58,927.921 1230.46,936.727 1232.74,945.256 1235.44,953.504 \n",
       "  1238.54,961.468 1242.08,969.144 1246.06,976.524 1250.51,983.601 1255.47,990.364 1260.96,996.803 1267.02,1002.9 1273.71,1008.64 1281.07,1014.01 1289.16,1018.97 \n",
       "  1298.04,1023.5 1307.78,1027.57 1318.46,1031.12 1330.16,1034.11 1342.98,1036.49 1356.99,1038.18 1372.31,1039.11 1389.05,1039.17 1407.29,1038.27 1427.16,1036.26 \n",
       "  1448.76,1033.01 1472.19,1028.35 1497.52,1022.09 1524.83,1014.01 1554.14,1003.89 1585.45,991.46 1618.68,976.463 1653.68,958.627 1690.21,937.693 1727.89,913.433 \n",
       "  1766.22,885.682 1804.52,854.368 1841.95,819.56 1877.47,781.511 1909.91,740.702 1937.96,697.879 1960.28,654.066 1975.58,610.544 1982.71,568.798 1980.85,530.404 \n",
       "  1969.55,496.895 1948.88,469.598 1919.38,449.485 1882.08,437.06 1838.37,432.324 1789.85,434.79 1738.24,443.59 1685.16,457.598 1632.07,475.583 1580.18,496.335 \n",
       "  1530.45,518.769 1483.54,541.979 1439.89,565.263 1399.74,588.115 1363.14,610.205 1330.05,631.344 1300.32,651.447 1273.76,670.509 1250.12,688.572 1229.15,705.707 \n",
       "  1210.59,721.997 1194.17,737.53 1179.63,752.389 1166.75,766.651 1155.29,780.38 1145.04,793.634 1135.81,806.458 1127.43,818.891 1119.73,830.962 1112.56,842.694 \n",
       "  1105.79,854.105 1099.3,865.207 1092.98,876.01 1086.73,886.518 1080.44,896.734 1074.03,906.658 1067.43,916.288 1060.54,925.618 1053.3,934.641 1045.63,943.348 \n",
       "  1037.46,951.726 1028.71,959.758 1019.32,967.425 1009.21,974.702 998.311,981.558 986.54,987.958 973.827,993.858 960.093,999.205 945.264,1003.94 929.265,1007.98 \n",
       "  912.024,1011.25 893.477,1013.64 873.565,1015.03 852.246,1015.3 829.493,1014.27 805.306,1011.79 779.715,1007.65 752.793,1001.64 724.664,993.542 695.515,983.114 \n",
       "  665.606,970.127 635.286,954.366 604.997,935.646 575.283,913.843 546.787,888.914 520.248,860.93 496.473,830.105 476.312,796.822 460.607,761.647 450.144,725.333 \n",
       "  445.578,688.792 447.38,653.063 455.777,619.237 470.719,588.379 491.87,561.441 518.624,539.182 550.154,522.11 585.477,510.449 623.532,504.145 663.255,502.901 \n",
       "  703.644,506.228 743.806,513.513 782.994,524.083 820.612,537.264 856.215,552.421 889.501,568.989 920.288,586.486 948.494,604.517 974.118,622.771 997.222,641.01 \n",
       "  1017.91,659.06 1036.32,676.797 1052.6,694.14 1066.91,711.037 1079.43,727.458 1090.31,743.391 1099.72,758.835 1107.8,773.797 1114.7,788.289 1120.53,802.326 \n",
       "  1125.43,815.924 1129.49,829.1 1132.81,841.871 1135.47,854.255 1137.54,866.267 1139.09,877.924 1140.17,889.24 1140.82,900.23 1141.09,910.906 1141,921.281 \n",
       "  1140.58,931.368 1139.84,941.177 1138.81,950.719 1137.48,960.004 1135.86,969.04 1133.94,977.837 1131.74,986.403 1129.22,994.744 1126.38,1002.87 1123.2,1010.78 \n",
       "  1119.66,1018.49 1115.74,1025.99 1111.39,1033.29 1106.6,1040.4 1101.31,1047.31 1095.48,1054.02 1089.07,1060.53 1082.02,1066.84 1074.26,1072.93 1065.73,1078.79 \n",
       "  1056.36,1084.41 1046.06,1089.77 1034.75,1094.84 1022.33,1099.58 1008.7,1103.95 993.74,1107.88 977.343,1111.33 959.384,1114.18 939.739,1116.35 918.281,1117.7 \n",
       "  894.886,1118.07 869.442,1117.28 841.849,1115.11 812.035,1111.29 779.965,1105.51 745.661,1097.42 709.216,1086.64 670.824,1072.72 630.802,1055.22 589.618,1033.67 \n",
       "  547.923,1007.64 506.572,976.779 466.633,940.861 429.384,899.876 396.281,854.097 368.886,804.155 348.769,751.087 337.368,696.346 335.833,641.747 344.872,589.347 \n",
       "  364.636,541.258 394.658,499.425 433.881,465.406 480.761,440.201 533.433,424.168 589.905,417.035 648.242,418.006 706.709,425.92 763.864,439.427 818.6,457.154 \n",
       "  870.134,477.822 917.978,500.324 961.886,523.763 1001.8,547.449 1037.81,570.882 1070.09,593.722 1098.9,615.753 1124.51,636.856 1147.23,656.978 1167.36,676.112 \n",
       "  1185.2,694.281 1201.04,711.522 1215.16,727.883 1227.8,743.413 1239.2,758.159 1249.58,772.166 1259.14,785.474 1268.05,798.117 1276.48,810.122 1284.57,821.514 \n",
       "  1292.47,832.311 1300.3,842.524 1308.17,852.161 1316.18,861.226 1324.44,869.715 1333.04,877.62 1342.05,884.93 1351.58,891.625 1361.69,897.681 1372.45,903.068 \n",
       "  1383.95,907.75 1396.26,911.681 1409.43,914.812 1423.54,917.082 1438.64,918.424 1454.78,918.76 1472.01,918.007 1490.37,916.069 1509.86,912.845 1530.5,908.226 \n",
       "  1552.25,902.098 1575.06,894.344 1598.84,884.853 1623.46,873.519 1648.73,860.252 1674.41,844.99 1700.19,827.704 1725.7,808.417 1750.5,787.218 1774.07,764.269 \n",
       "  1795.84,739.829 1815.21,714.25 1831.56,687.991 1844.27,661.603 1852.79,635.719 1856.66,611.02 1855.54,588.201 1849.28,567.924 1837.9,550.767 1821.62,537.185 \n",
       "  1800.85,527.469 1776.14,521.735 1748.2,519.918 1717.77,521.793 1685.64,527.002 1652.57,535.101 1619.27,545.597 1586.37,557.989 1554.39,571.8 1523.75,586.601 \n",
       "  1494.76,602.026 1467.64,617.771 1442.55,633.6 1419.54,649.335 1398.63,664.85 1379.79,680.06 1362.95,694.911 1348.03,709.375 1334.92,723.44 1323.51,737.107 \n",
       "  1313.69,750.382 1305.33,763.275 1298.34,775.799 1292.6,787.964 1288.01,799.781 1284.49,811.259 1281.96,822.404 1280.35,833.22 1279.59,843.709 1279.65,853.871 \n",
       "  1280.47,863.703 1282.02,873.201 1284.29,882.358 1287.26,891.167 1290.91,899.616 1295.26,907.693 1300.31,915.383 1306.07,922.666 1312.57,929.522 1319.85,935.926 \n",
       "  1327.92,941.849 1336.85,947.257 1346.67,952.111 1357.43,956.366 1369.2,959.97 1382.04,962.863 1396.01,964.977 1411.18,966.231 1427.61,966.538 1445.36,965.796 \n",
       "  1464.5,963.891 1485.06,960.697 1507.1,956.074 1530.61,949.872 1555.59,941.93 1581.99,932.079 1609.7,920.15 1638.59,905.981 1668.42,889.425 1698.9,870.368 \n",
       "  1729.62,848.742 1760.09,824.551 1789.71,797.891 1817.78,768.97 1843.51,738.141 1866.05,705.904 1884.51,672.92 1898.07,639.997 1905.96,608.055 1907.6,578.084 \n",
       "  1902.6,551.066 1890.88,527.899 1872.61,509.317 1848.29,495.822 1818.64,487.641 1784.6,484.72 1747.23,486.741 1707.63,493.179 1666.86,503.365 1625.9,516.564 \n",
       "  1585.58,532.039 1546.58,549.102 1509.44,567.154 1474.53,585.701 1442.1,604.358 1412.25,622.839 1385.04,640.952 1360.43,658.572 1338.32,675.634 1318.59,692.113 \n",
       "  1301.09,708.01 1285.65,723.348 1272.11,738.157 1260.29,752.471 1250.03,766.328 1241.17,779.761 1233.56,792.8 1227.07,805.475 1221.57,817.806 1216.95,829.814 \n",
       "  1213.1,841.515 1209.94,852.922 1207.38,864.046 1205.35,874.895 1203.81,885.475 1202.68,895.793 1201.93,905.854 1201.53,915.661 1201.44,925.217 1201.63,934.526 \n",
       "  1202.09,943.589 1202.81,952.409 1203.78,960.988 1204.98,969.328 1206.43,977.429 1208.12,985.292 1210.06,992.918 1212.26,1000.31 1214.73,1007.46 1217.49,1014.37 \n",
       "  1220.56,1021.04 1223.96,1027.47 1227.72,1033.64 1231.88,1039.57 1236.46,1045.23 1241.51,1050.62 1247.07,1055.73 1253.19,1060.54 1259.93,1065.04 1267.35,1069.21 \n",
       "  1275.51,1073.01 1284.5,1076.43 1294.39,1079.41 1305.26,1081.93 1317.23,1083.93 1330.38,1085.34 1344.84,1086.1 1360.73,1086.1 1378.17,1085.26 1397.29,1083.45 \n",
       "  1418.23,1080.52 1441.12,1076.32 1466.1,1070.63 1493.28,1063.25 1522.76,1053.92 1554.6,1042.36 1588.83,1028.25 1625.38,1011.26 1664.13,991.043 1704.8,967.253 \n",
       "  1746.99,939.581 1790.12,907.781 1833.37,871.724 1875.72,831.454 1915.9,787.254 1952.43,739.71 1983.67,689.766 2007.92,638.741 2023.54,588.308 2029.14,540.397 \n",
       "  2023.77,497.045 2007.01,460.182 1979.13,431.398 1941.05,411.746 1894.3,401.604 1840.79,400.656 1782.65,407.977 1722,422.203 1660.79,441.743 1600.63,464.976 \n",
       "  1542.81,490.422 1488.24,516.834 1437.49,543.25 1390.87,568.988 1348.46,593.611 1310.19,616.884 1275.87,638.72 1245.25,659.133 1218.02,678.204 1193.87,696.048 \n",
       "  1172.46,712.794 1153.48,728.571 1136.63,743.5 1121.6,757.687 1108.12,771.224 1095.96,784.186 1084.87,796.635 1074.65,808.618 1065.1,820.172 1056.05,831.322 \n",
       "  1047.35,842.085 1038.85,852.472 1030.41,862.486 1021.93,872.124 1013.28,881.38 1004.37,890.242 995.104,898.693 985.393,906.712 975.156,914.273 964.314,921.345 \n",
       "  952.796,927.89 940.532,933.865 927.46,939.219 913.52,943.893 898.663,947.822 882.844,950.927 866.03,953.124 848.201,954.314 829.351,954.39 809.496,953.234 \n",
       "  788.674,950.72 766.955,946.711 744.442,941.069 721.279,933.653 697.658,924.33 673.823,912.98 650.073,899.507 626.767,883.851 604.318,866.003 583.194,846.017 \n",
       "  563.901,824.029 546.974,800.265 532.948,775.051 522.333,748.814 515.585,722.078 513.069,695.444 515.033,669.565 521.577,645.111 532.645,622.725 548.016,602.982 \n",
       "  567.321,586.353 590.058,573.172 615.63,563.623 643.381,557.736 672.636,555.401 702.734,556.392 733.062,560.39 763.075,567.024 792.307,575.893 820.38,586.598 \n",
       "  847.004,598.758 871.966,612.029 895.126,626.106 916.406,640.729 935.778,655.682 953.255,670.791 968.88,685.917 982.719,700.953 994.854,715.817 1005.37,730.45 \n",
       "  1014.38,744.806 1021.95,758.856 1028.2,772.579 1033.2,785.96 1037.05,798.992 1039.81,811.671 1041.55,823.994 1042.33,835.96 1042.2,847.571 1041.2,858.827 \n",
       "  1039.37,869.727 1036.71,880.271 1033.26,890.456 1029.01,900.278 1023.97,909.731 1018.13,918.807 1011.47,927.493 1003.97,935.775 995.598,943.631 986.329,951.037 \n",
       "  976.121,957.963 964.931,964.372 952.713,970.219 939.421,975.451 925.005,980.004 909.418,983.806 892.617,986.769 874.563,988.793 855.231,989.765 834.608,989.554 \n",
       "  812.699,988.017 789.539,984.991 765.193,980.304 739.768,973.771 713.422,965.2 686.371,954.404 658.899,941.205 631.364,925.451 604.208,907.031 577.949,885.9 \n",
       "  553.185,862.094 530.573,835.756 510.813,807.158 494.616,776.714 482.659,744.983 475.546,712.663 473.751,680.564 477.575,649.568 487.115,620.573 502.237,594.426 \n",
       "  522.584,571.861 547.592,553.443 576.536,539.531 608.58,530.259 642.834,525.549 678.418,525.137 714.503,528.617 750.35,535.487 785.335,545.204 818.955,557.218 \n",
       "  850.828,571.01 880.686,586.114 908.358,602.124 933.761,618.703 956.877,635.578 977.742,652.535 996.429,669.413 1013.04,686.091 1027.7,702.484 1040.54,718.534 \n",
       "  1051.68,734.204 1061.28,749.473 1069.45,764.328 1076.32,778.769 1082,792.798 1086.61,806.421 1090.23,819.649 1092.95,832.491 1094.84,844.958 1095.98,857.063 \n",
       "  1096.41,868.815 1096.18,880.226 1095.33,891.306 1093.87,902.063 1091.84,912.506 1089.24,922.642 1086.08,932.477 1082.35,942.015 1078.04,951.259 1073.14,960.21 \n",
       "  1067.62,968.867 1061.45,977.226 1054.59,985.282 1047.01,993.025 1038.66,1000.44 1029.47,1007.51 1019.4,1014.22 1008.37,1020.53 996.314,1026.4 983.154,1031.8 \n",
       "  968.812,1036.66 953.203,1040.92 936.243,1044.5 917.847,1047.3 897.937,1049.2 876.439,1050.07 853.293,1049.75 828.459,1048.06 801.921,1044.78 773.703,1039.68 \n",
       "  743.876,1032.5 712.573,1022.94 680.007,1010.73 646.483,995.54 612.416,977.104 578.345,955.171 544.942,929.568 513.011,900.231 483.479,867.244 457.366,830.888 \n",
       "  435.741,791.669 419.657,750.345 410.065,707.917 407.735,665.6 413.159,624.744 426.49,586.745 447.505,552.912 475.605,524.351 509.865,501.865 549.116,485.884 \n",
       "  592.045,476.455 637.308,473.275 683.622,475.76 729.844,483.135 775.013,494.533 818.373,509.078 859.371,525.945 897.636,544.408 932.957,563.855 965.252,583.796 \n",
       "  994.54,603.856 1020.92,623.755 1044.52,643.301 1065.54,662.363 1084.18,680.862 1100.63,698.755 1115.12,716.026 1127.85,732.676 1139.02,748.718 1148.81,764.171 \n",
       "  1157.4,779.059 1164.95,793.406 1171.61,807.238 1177.51,820.578 1182.76,833.45 1187.49,845.875 1191.79,857.872 1195.74,869.46 1199.43,880.654 1202.92,891.47 \n",
       "  1206.29,901.92 1209.58,912.015 1212.86,921.767 1216.18,931.182 1219.58,940.269 1223.11,949.031 1226.81,957.475 1230.73,965.601 1234.9,973.41 1239.38,980.902 \n",
       "  1244.2,988.072 1249.42,994.917 1255.08,1001.43 1261.24,1007.59 1267.94,1013.4 1275.25,1018.83 1283.24,1023.86 1291.96,1028.47 1301.5,1032.63 1311.94,1036.29 \n",
       "  1323.35,1039.41 1335.84,1041.94 1349.49,1043.8 1364.42,1044.94 1380.72,1045.25 1398.51,1044.63 1417.91,1042.96 1439.02,1040.1 1461.94,1035.88 1486.78,1030.13 \n",
       "  1513.61,1022.63 1542.48,1013.15 1573.4,1001.43 1606.33,987.216 1641.15,970.216 1677.66,950.158 1715.53,926.79 1754.3,899.906 1793.35,869.388 1831.87,835.239 \n",
       "  1868.89,797.638 1903.23,756.981 1933.61,713.93 1958.63,669.432 1976.93,624.717 1987.25,581.255 1988.62,540.656 1980.42,504.544 1962.52,474.385 1935.32,451.325 \n",
       "  1899.72,436.06 1857.05,428.757 1808.93,429.066 1757.09,436.195 1703.25,449.04 1648.99,466.338 1595.64,486.817 1544.25,509.303 1495.59,532.801 1450.17,556.525 \n",
       "  1408.29,579.9 1370.04,602.539 1335.4,624.216 1304.24,644.821 1276.37,664.335 1251.55,682.792 1229.51,700.265 1209.99,716.84 1192.71,732.61 1177.41,747.664 \n",
       "  1163.84,762.084 1151.77,775.941 1140.97,789.298 1131.25,802.204 1122.41,814.702 1114.29,826.823 1106.73,838.593 1099.59,850.03 1092.75,861.149 1086.08,871.958 \n",
       "  1079.48,882.462 1072.85,892.665 1066.1,902.564 1059.13,912.157 1051.88,921.438 1044.25,930.396 1036.18,939.021 1027.59,947.297 1018.4,955.206 1008.54,962.723 \n",
       "  997.94,969.821 986.523,976.466 974.215,982.615 960.942,988.222 946.631,993.226 931.21,997.56 914.609,1001.14 896.766,1003.88 877.626,1005.66 857.145,1006.36 \n",
       "  835.296,1005.84 812.076,1003.93 787.508,1000.46 761.654,995.223 734.621,988.019 706.576,978.627 677.75,966.831 648.453,952.424 619.083,935.23 590.127,915.116 \n",
       "  562.172,892.025 535.886,865.997 512.017,837.194 491.354,805.933 474.698,772.694 462.805,738.131 456.339,703.054 455.804,668.402 461.499,635.188 473.472,604.425 \n",
       "  491.508,577.053 515.133,553.86 543.648,535.418 576.182,522.05 611.761,513.817 649.379,510.537 688.061,511.83 726.915,517.173 765.168,525.96 802.187,537.558 \n",
       "  837.482,551.352 870.697,566.779 901.601,583.346 930.066,600.64 956.049,618.323 979.575,636.135 1000.72,653.877 1019.59,671.404 1036.32,688.614 1051.06,705.439 \n",
       "  1063.96,721.837 1075.18,737.785 1084.87,753.273 1093.17,768.3 1100.22,782.874 1106.15,797.005 1111.06,810.707 1115.08,823.992 1118.27,836.878 1120.74,849.379 \n",
       "  1122.54,861.51 1123.74,873.286 1124.4,884.721 1124.55,895.827 1124.23,906.618 1123.47,917.105 1122.28,927.299 1120.69,937.21 1118.69,946.848 1116.29,956.22 \n",
       "  1113.48,965.334 1110.26,974.197 1106.61,982.814 1102.5,991.19 1097.92,999.327 1092.83,1007.23 1087.19,1014.89 1080.97,1022.31 1074.12,1029.49 1066.58,1036.41 \n",
       "  1058.3,1043.07 1049.2,1049.45 1039.23,1055.53 1028.29,1061.28 1016.31,1066.67 1003.2,1071.66 988.857,1076.2 973.181,1080.22 956.067,1083.64 937.407,1086.36 \n",
       "  917.093,1088.27 895.022,1089.23 871.098,1089.07 845.242,1087.59 817.396,1084.57 787.538,1079.73 755.693,1072.79 721.95,1063.39 686.48,1051.17 649.559,1035.76 \n",
       "  611.591,1016.75 573.127,993.794 534.885,966.583 497.764,934.924 462.833,898.786 431.315,858.362 404.533,814.128 383.837,766.885 370.499,717.777 365.59,668.256 \n",
       "  369.856,620.008 383.614,574.822 406.683,534.419 438.381,500.278 477.575,473.479 522.798,454.604 572.389,443.711 624.652,440.379 677.983,443.809 730.978,452.962 \n",
       "  782.489,466.693 831.639,483.868 877.818,503.449 920.647,524.547 959.944,546.438 995.676,568.565 1027.92,590.518 1056.85,612.016 1082.66,632.873 1105.61,652.982 \n",
       "  1125.96,672.288 1143.97,690.777 1159.9,708.458 1174,725.355 1186.52,741.501 1197.67,756.933 1207.65,771.687 1216.67,785.8 1224.88,799.303 1232.46,812.225 \n",
       "  1239.54,824.594 1246.25,836.429 1252.72,847.751 1259.05,858.572 1265.35,868.906 1271.7,878.758 1278.2,888.133 1284.92,897.032 1291.95,905.45 1299.35,913.382 \n",
       "  1307.21,920.814 1315.6,927.733 1324.58,934.115 1334.23,939.936 1344.62,945.162 1355.84,949.755 1367.94,953.668 1381.02,956.847 1395.14,959.227 1410.38,960.736 \n",
       "  1426.81,961.289 1444.51,960.79 1463.52,959.129 1483.92,956.187 1505.73,951.829 1528.96,945.91 1553.62,938.276 1579.65,928.764 1606.96,917.213 1635.41,903.465 \n",
       "  1664.79,887.38 1694.79,868.846 1725.04,847.8 1755.07,824.242 1784.29,798.262 1812.03,770.061 1837.53,739.97 1859.95,708.467 1878.46,676.183 1892.24,643.891 \n",
       "  1900.54,612.477 1902.78,582.893 1898.56,556.095 1887.78,532.963 1870.58,514.226 1847.39,500.399 1818.92,491.734 1786.03,488.212 1749.75,489.559 1711.14,495.292 \n",
       "  1671.25,504.784 1631.02,517.329 1591.3,532.213 1552.77,548.763 1515.99,566.383 1481.33,584.577 1449.05,602.954 1419.29,621.22 1392.12,639.171 1367.49,656.673 \n",
       "  1345.35,673.651 1325.56,690.071 1308,705.929 1292.5,721.241 1278.9,736.033 1267.04,750.337 1256.75,764.187 1247.88,777.614 1240.28,790.648 1233.82,803.315 \n",
       "  1228.38,815.639 1223.84,827.636 1220.11,839.324 1217.09,850.714 1214.71,861.818 1212.9,872.642 1211.6,883.194 1210.76,893.478 1210.33,903.499 1210.29,913.259 \n",
       "  1210.61,922.761 1211.26,932.008 1212.23,940.999 1213.51,949.737 1215.09,958.221 1216.98,966.452 1219.18,974.429 1221.69,982.15 1224.54,989.613 1227.73,996.816 \n",
       "  1231.3,1003.75 1235.26,1010.42 1239.64,1016.81 1244.48,1022.92 1249.82,1028.73 1255.71,1034.23 1262.18,1039.41 1269.31,1044.25 1277.14,1048.71 1285.74,1052.79 \n",
       "  1295.2,1056.43 1305.59,1059.61 1316.99,1062.27 1329.51,1064.37 1343.25,1065.82 1358.31,1066.56 1374.81,1066.49 1392.88,1065.5 1412.62,1063.46 1434.18,1060.23 \n",
       "  1457.66,1055.63 1483.18,1049.46 1510.83,1041.51 1540.68,1031.52 1572.75,1019.2 1607.01,1004.28 1643.36,986.419 1681.6,965.32 1721.39,940.686 1762.25,912.274 \n",
       "  1803.53,879.929 1844.35,843.629 1883.66,803.543 1920.16,760.088 1952.42,713.981 1978.91,666.266 1998.08,618.315 2008.56,571.777 2009.25,528.464 1999.49,490.196 \n",
       "  1979.19,458.601 1948.85,434.925 1909.55,419.875 1862.82,413.549 1810.5,415.45 1754.56,424.594 1696.87,439.672 1639.13,459.233 1582.73,481.851 1528.76,506.247 \n",
       "  1477.95,531.366 1430.79,556.403 1387.52,580.791 1348.18,604.172 1312.69,626.356 1280.87,647.273 1252.47,666.942 1227.23,685.433 1204.84,702.845 1184.99,719.287 \n",
       "  1167.41,734.871 1151.8,749.698 1137.9,763.86 1125.46,777.436 1114.24,790.491 1104.03,803.077 1094.65,815.237 1085.9,827.002 1077.64,838.396 1069.72,849.434 \n",
       "  1061.99,860.128 1054.34,870.482 1046.65,880.497 1038.83,890.169 1030.77,899.49 1022.39,908.45 1013.59,917.033 1004.3,925.219 994.44,932.986 983.927,940.305 \n",
       "  972.692,947.142 960.662,953.456 947.769,959.199 933.945,964.316 919.13,968.742 903.265,972.401 886.301,975.207 868.198,977.059 848.928,977.846 828.483,977.443 \n",
       "  806.872,975.708 784.135,972.49 760.347,967.626 735.621,960.944 710.121,952.272 684.069,941.443 657.75,928.302 631.519,912.729 605.804,894.641 581.105,874.023 \n",
       "  557.986,850.941 537.065,825.561 518.985,798.169 504.392,769.178 493.892,739.133 488.011,708.695 487.155,678.618 491.564,649.712 501.292,622.789 516.185,598.607 \n",
       "  535.892,577.816 559.878,560.908 587.47,548.193 617.897,539.78 650.348,535.59 684.016,535.382 718.145,538.789 752.056,545.358 785.174,554.6 817.031,566.019 \n",
       "  847.268,579.141 875.63,593.54 901.95,608.841 926.139,624.73 948.172,640.949 968.072,657.294 985.9,673.608 1001.74,689.77 1015.71,705.696 1027.92,721.324 \n",
       "  1038.48,736.612 1047.52,751.535 1055.16,766.078 1061.51,780.233 1066.67,793.999 1070.74,807.38 1073.81,820.381 1075.95,833.008 1077.23,845.269 1077.7,857.173 \n",
       "  1077.42,868.728 1076.42,879.94 1074.72,890.816 1072.36,901.362 1069.33,911.582 1065.65,921.479 1061.31,931.054 1056.3,940.305 1050.6,949.23 1044.18,957.823 \n",
       "  1037.03,966.073 1029.09,973.97 1020.32,981.494 1010.67,988.624 1000.1,995.332 988.53,1001.58 975.905,1007.33 962.155,1012.53 947.209,1017.11 930.995,1021 \n",
       "  913.445,1024.1 894.492,1026.32 874.077,1027.53 852.155,1027.58 828.699,1026.31 803.704,1023.53 777.201,1019.03 749.265,1012.59 720.025,1003.95 689.678,992.869 \n",
       "  658.504,979.083 626.873,962.355 595.263,942.483 564.263,919.324 534.574,892.83 506.995,863.079 482.409,830.306 461.74,794.937 445.903,757.604 435.74,719.142 \n",
       "  431.945,680.566 434.999,643.021 445.107,607.701 462.164,575.757 485.744,548.197 515.137,525.801 549.398,509.054 587.429,498.127 628.069,492.885 670.174,492.932 \n",
       "  712.686,497.683 754.685,506.435 795.416,518.441 834.293,532.97 870.895,549.351 904.95,566.999 936.309,585.425 964.927,604.24 990.837,623.14 1014.13,641.903 \n",
       "  1034.94,660.37 1053.42,678.432 1069.75,696.022 1084.11,713.1 1096.68,729.648 1107.64,745.665 1117.16,761.155 1125.39,776.134 1132.49,790.617 1138.58,804.624 \n",
       "  1143.8,818.174 1148.25,831.288 1152.02,843.984 1155.22,856.282 1157.92,868.198 1160.18,879.75 1162.07,890.953 1163.63,901.822 1164.92,912.371 1165.97,922.612 \n",
       "  1166.81,932.559 1167.48,942.221 1167.99,951.61 1168.37,960.737 1168.63,969.61 1168.79,978.239 1168.86,986.632 1168.84,994.798 1168.75,1002.74 1168.59,1010.48 \n",
       "  1168.36,1018 1168.06,1025.33 1167.7,1032.47 1167.27,1039.42 1166.78,1046.19 1166.22,1052.79 1165.59,1059.22 1164.88,1065.48 1164.09,1071.59 1163.21,1077.54 \n",
       "  1162.24,1083.35 1161.15,1089.02 1159.96,1094.54 1158.63,1099.94 1157.16,1105.21 1155.54,1110.35 1153.75,1115.37 1151.77,1120.28 1149.58,1125.08 1147.16,1129.78 \n",
       "  1144.48,1134.37 1141.51,1138.86 1138.23,1143.25 1134.59,1147.56 1130.56,1151.77 1126.1,1155.89 1121.15,1159.93 1115.67,1163.87 1109.59,1167.73 1102.84,1171.49 \n",
       "  1095.36,1175.14 1087.06,1178.69 1077.85,1182.1 1067.64,1185.38 1056.3,1188.48 1043.73,1191.38 1029.78,1194.03 1014.32,1196.37 997.193,1198.34 978.232,1199.84 \n",
       "  957.262,1200.76 934.102,1200.95 908.566,1200.23 880.472,1198.38 849.649,1195.13 815.949,1190.15 779.264,1183.03 739.549,1173.32 696.848,1160.46 651.332,1143.83 \n",
       "  603.343,1122.77 553.437,1096.55 502.443,1064.48 451.503,1025.94 402.106,980.489 356.089,928.004 315.588,868.81 282.934,803.818 260.465,734.624 250.28,663.525 \n",
       "  253.955,593.408 272.277,527.499 305.069,468.99 351.137,420.622 408.405,384.302 474.172,360.873 545.46,350.081 619.356,350.732 693.277,360.985 765.141,378.684 \n",
       "  833.42,401.664 897.112,427.965 955.665,455.963 1008.88,484.405 1056.82,512.395 1099.7,539.339 1137.87,564.885 1171.73,588.859 1201.7,611.207 1228.21,631.956 \n",
       "  1251.67,651.181 1272.48,668.978 1291.01,685.453 1307.6,700.708 1322.55,714.838 1336.16,727.929 1348.68,740.052 1360.35,751.268 1371.35,761.625 1381.89,771.162 \n",
       "  1392.13,779.907 1402.2,787.877 1412.25,795.085 1422.37,801.533 1432.68,807.218 1443.25,812.13 1454.17,816.255 1465.48,819.571 1477.24,822.054 1489.48,823.675 \n",
       "  1502.23,824.402 1515.5,824.202 1529.29,823.038 1543.57,820.876 1558.31,817.681 1573.45,813.424 1588.93,808.081 1604.65,801.637 1620.48,794.088 1636.28,785.446 \n",
       "  1651.89,775.743 1667.12,765.032 1681.76,753.391 1695.57,740.929 1708.31,727.785 1719.73,714.129 1729.58,700.161 1737.63,686.109 1743.64,672.225 1747.44,658.771 \n",
       "  1748.88,646.019 1747.86,634.23 1744.35,623.651 1738.38,614.497 1730.04,606.944 1719.48,601.119 1706.91,597.098 1692.6,594.902 1676.82,594.499 1659.88,595.812 \n",
       "  1642.11,598.724 1623.83,603.088 1605.33,608.739 1586.89,615.5 1568.76,623.194 1551.18,631.648 1534.31,640.701 1518.32,650.206 1503.31,660.03 1489.4,670.061 \n",
       "  1476.63,680.2 1465.05,690.364 1454.67,700.485 1445.51,710.504 1437.56,720.373 1430.8,730.052 1425.21,739.507 1420.75,748.707 1417.41,757.627 1415.14,766.241 \n",
       "  1413.92,774.526 1413.72,782.459 1414.51,790.016 1416.27,797.174 1418.98,803.907 1422.61,810.188 1427.17,815.987 1432.62,821.274 1438.97,826.015 1446.21,830.174 \n",
       "  1454.32,833.711 1463.31,836.586 1473.16,838.752 1483.86,840.163 1495.41,840.77 1507.78,840.52 1520.94,839.361 1534.86,837.24 1549.48,834.104 1564.76,829.905 \n",
       "  1580.6,824.598 1596.9,818.145 1613.54,810.522 1630.38,801.716 1647.24,791.734 1663.92,780.607 1680.2,768.39 1695.82,755.173 1710.5,741.079 1723.98,726.269 \n",
       "  1735.94,710.943 1746.11,695.336 1754.19,679.717 1759.96,664.379 1763.18,649.632 1763.72,635.786 1761.49,623.142 1756.46,611.975 1748.7,602.516 1738.34,594.948 \n",
       "  1725.59,589.39 1710.71,585.898 1694.03,584.461 1675.88,585.01 1656.64,587.424 1636.67,591.542 1616.33,597.173 1595.95,604.113 1575.82,612.152 1556.21,621.087 \n",
       "  1537.35,630.724 1519.4,640.89 1502.52,651.429 1486.81,662.209 1472.35,673.116 1459.17,684.057 1447.31,694.953 1436.77,705.744 1427.53,716.378 1419.57,726.814 \n",
       "  1412.87,737.019 1407.38,746.965 1403.08,756.628 1399.91,765.985 1397.84,775.018 1396.84,783.705 1396.86,792.027 1397.89,799.964 1399.9,807.493 1402.86,814.59 \n",
       "  1406.76,821.23 1411.59,827.384 1417.33,833.022 1423.98,838.109 1431.54,842.609 1440.01,846.482 1449.39,849.682 1459.67,852.165 1470.85,853.877 1482.93,854.765 \n",
       "  1495.91,854.771 1509.76,853.836 1524.45,851.897 1539.96,848.891 1556.21,844.758 1573.16,839.44 1590.69,832.885 1608.69,825.049 1627.02,815.904 1645.5,805.441 \n",
       "  1663.92,793.67 1682.04,780.636 1699.59,766.414 1716.27,751.122 1731.75,734.921 1745.69,718.019 1757.75,700.67 1767.59,683.172 1774.91,665.857 1779.44,649.084 \n",
       "  1780.97,633.221 1779.36,618.63 1774.58,605.646 1766.65,594.561 1755.73,585.605 1742.02,578.935 1725.84,574.629 1707.55,572.684 1687.54,573.021 1666.25,575.499 \n",
       "  1644.1,579.924 1621.51,586.068 1598.87,593.685 1576.53,602.524 1554.77,612.343 1533.86,622.916 1514,634.042 1495.33,645.542 1477.98,657.269 1462.02,669.098 \n",
       "  1447.48,680.929 1434.39,692.683 1422.74,704.296 1412.51,715.721 1403.65,726.92 1396.13,737.863 1389.9,748.527 1384.91,758.894 1381.12,768.946 1378.46,778.668 \n",
       "  1376.9,788.046 1376.4,797.062 1376.91,805.702 1378.42,813.946 1380.89,821.776 1384.3,829.168 1388.65,836.099 1393.91,842.54 1400.09,848.462 1407.19,853.83 \n",
       "  1415.21,858.606 1424.16,862.749 1434.04,866.213 1444.88,868.947 1456.66,870.896 1469.41,872.001 1483.12,872.198 1497.78,871.417 1513.4,869.588 1529.93,866.635 \n",
       "  1547.34,862.484 1565.56,857.062 1584.52,850.297 1604.1,842.128 1624.16,832.505 1644.52,821.396 1664.96,808.794 1685.23,794.722 1705.02,779.241 1724,762.461 \n",
       "  1741.8,744.542 1758.01,725.701 1772.24,706.215 1784.08,686.419 1793.13,666.695 1799.06,647.466 1801.6,629.174 1800.55,612.261 1795.83,597.142 1787.46,584.184 \n",
       "  1775.59,573.677 1760.47,565.825 1742.45,560.728 1721.96,558.385 1699.48,558.7 1675.52,561.493 1650.59,566.523 1625.19,573.506 1599.77,582.136 1574.74,592.108 \n",
       "  1550.42,603.129 1527.12,614.931 1505.05,627.28 1484.37,639.973 1465.19,652.847 1447.59,665.767 1431.59,678.63 1417.2,691.357 1404.39,703.889 1393.12,716.183 \n",
       "  1383.34,728.208 1375,739.943 1368.01,751.371 1362.33,762.481 1357.88,773.264 1354.6,783.71 1352.45,793.811 1351.35,803.557 1351.28,812.937 1352.2,821.939 \n",
       "  1354.06,830.548 1356.85,838.747 1360.56,846.517 1365.16,853.836 1370.66,860.677 1377.06,867.012 1384.37,872.809 1392.59,878.03 1401.75,882.635 1411.86,886.576 \n",
       "  1422.94,889.804 1435.02,892.259 1448.13,893.879 1462.27,894.596 1477.46,894.332 1493.72,893.008 1511.03,890.536 1529.38,886.825 1548.73,881.783 1569.03,875.315 \n",
       "  1590.18,867.332 1612.06,857.751 1634.52,846.505 1657.34,833.546 1680.27,818.856 1703,802.456 1725.17,784.415 1746.37,764.864 1766.15,743.999 1784.01,722.093 \n",
       "  1799.45,699.495 1811.98,676.629 1821.12,653.982 1826.48,632.087 1827.74,611.499 1824.71,592.761 1817.33,576.371 1805.7,562.748 1790.06,552.204 1770.78,544.923 \n",
       "  1748.36,540.953 1723.37,540.212 1696.43,542.499 1668.18,547.526 1639.23,554.938 1610.14,564.35 1581.41,575.371 1553.49,587.63 1526.7,600.785 1501.32,614.543 \n",
       "  1477.55,628.656 1455.5,642.924 1435.27,657.19 1416.86,671.34 1400.27,685.287 1385.46,698.974 1372.38,712.363 1360.93,725.429 1351.05,738.16 1342.65,750.549 \n",
       "  1335.63,762.594 1329.91,774.295 1325.42,785.652 1322.07,796.666 1319.8,807.334 1318.54,817.656 1318.25,827.625 1318.89,837.236 1320.41,846.479 1322.79,855.343 \n",
       "  1326.01,863.816 1330.06,871.88 1334.94,879.516 1340.64,886.702 1347.2,893.412 1354.61,899.616 1362.9,905.28 1372.1,910.366 1382.25,914.829 1393.38,918.618 \n",
       "  1405.53,921.678 1418.75,923.943 1433.07,925.343 1448.53,925.797 1465.18,925.215 1483.03,923.501 1502.1,920.549 1522.39,916.245 1543.9,910.47 1566.55,903.1 \n",
       "  1590.29,894.012 1614.99,883.089 1640.48,870.227 1666.53,855.341 1692.85,838.384 1719.09,819.35 1744.81,798.295 1769.5,775.355 1792.6,750.751 1813.49,724.809 \n",
       "  1831.51,697.962 1846.02,670.748 1856.41,643.797 1862.16,617.808 1862.86,593.508 1858.27,571.61 1848.35,552.755 1833.26,537.471 1813.35,526.123 1789.16,518.893 \n",
       "  1761.39,515.772 1730.79,516.57 1698.2,520.95 1664.41,528.464 1630.19,538.603 1596.2,550.838 1563.04,564.66 1531.15,579.601 1500.9,595.26 1472.54,611.304 \n",
       "  1446.24,627.471 1422.07,643.561 1400.07,659.435 1380.2,674.996 1362.41,690.185 1346.6,704.97 1332.66,719.34 1320.49,733.294 1309.96,746.841 1300.95,759.994 \n",
       "  1293.33,772.767 1287,785.175 1281.86,797.229 1277.8,808.942 1274.74,820.322 1272.61,831.376 1271.34,842.108 1270.86,852.52 1271.14,862.611 1272.13,872.38 \n",
       "  1273.82,881.823 1276.17,890.934 1279.17,899.705 1282.83,908.127 1287.14,916.187 1292.12,923.872 1297.79,931.165 1304.16,938.046 1311.28,944.491 1319.17,950.473 \n",
       "  1327.89,955.962 1337.48,960.919 1347.99,965.302 1359.5,969.061 1372.06,972.139 1385.74,974.47 1400.61,975.977 1416.75,976.574 1434.22,976.16 1453.09,974.625 \n",
       "  1473.43,971.841 1495.28,967.67 1518.66,961.956 1543.6,954.535 1570.05,945.23 1597.95,933.859 1627.17,920.243 1657.53,904.212 1688.75,885.621 1720.46,864.366 \n",
       "  1752.19,840.406 1783.37,813.787 1813.3,784.666 1841.17,753.341 1866.11,720.267 1887.19,686.073 1903.48,651.553 1914.13,617.649 1918.43,585.397 1915.87,555.864 \n",
       "  1906.23,530.059 1889.58,508.848 1866.34,492.865 1837.2,482.46 1803.1,477.673 1765.14,478.245 1724.47,483.67 1682.27,493.261 1639.59,506.237 1597.37,521.795 \n",
       "  1556.39,539.176 1517.24,557.71 1480.36,576.837 1446.03,596.121 1414.39,615.238 1385.51,633.964 1359.35,652.16 1335.83,669.748 1314.81,686.701 1296.13,703.023 \n",
       "  1279.62,718.738 1265.1,733.881 1252.38,748.495 1241.28,762.621 1231.64,776.299 1223.29,789.564 1216.09,802.45 1209.89,814.982 1204.58,827.183 1200.04,839.074 \n",
       "  1196.17,850.668 1192.89,861.979 1190.1,873.017 1187.75,883.791 1185.77,894.308 1184.1,904.574 1182.71,914.595 1181.56,924.375 1180.6,933.919 1179.81,943.231 \n",
       "  1179.16,952.316 1178.64,961.176 1178.21,969.817 1177.88,978.243 1177.63,986.456 1177.44,994.462 1177.31,1002.26 1177.23,1009.87 1177.19,1017.27 1177.19,1024.49 \n",
       "  1177.23,1031.52 1177.3,1038.37 1177.4,1045.03 1177.54,1051.52 1177.7,1057.84 1177.89,1064 1178.12,1069.99 1178.38,1075.82 1178.67,1081.49 1178.99,1087.01 \n",
       "  1179.36,1092.38 1179.76,1097.6 1180.22,1102.68 1180.72,1107.63 1181.28,1112.43 1181.89,1117.1 1182.58,1121.63 1183.33,1126.03 1184.17,1130.31 1185.1,1134.46 \n",
       "  1186.13,1138.48 1187.26,1142.39 1188.53,1146.16 1189.93,1149.82 1191.48,1153.35 1193.2,1156.76 1195.11,1160.05 1197.23,1163.21 1199.58,1166.25 1202.2,1169.16 \n",
       "  1205.1,1171.93 1208.33,1174.57 1211.91,1177.06 1215.9,1179.41 1220.34,1181.59 1225.27,1183.6 1230.76,1185.42 1236.87,1187.04 1243.68,1188.44 1251.25,1189.59 \n",
       "  1259.67,1190.46 1269.05,1191.02 1279.5,1191.21 1291.12,1191 1304.06,1190.31 1318.45,1189.07 1334.45,1187.19 1352.23,1184.54 1371.97,1181 1393.87,1176.4 \n",
       "  1418.12,1170.55 1444.94,1163.22 1474.52,1154.13 1507.05,1142.95 1542.69,1129.33 1581.57,1112.82 1623.74,1092.95 1669.12,1069.19 1717.52,1040.99 1768.53,1007.81 \n",
       "  1821.49,969.157 1875.42,924.659 1928.99,874.178 1980.46,817.911 2027.69,756.527 2068.24,691.283 2099.48,624.093 2118.87,557.515 2124.22,494.596 2114.07,438.591 \n",
       "  2087.94,392.54 2046.49,358.822 1991.52,338.774 1925.7,332.493 1852.25,338.874 1774.5,355.879 1695.51,380.926 1617.87,411.313 1543.54,444.559 1473.83,478.618 \n",
       "  1409.53,511.969 1350.96,543.602 1298.16,572.94 1250.9,599.741 1208.83,623.997 1171.54,645.847 1138.57,665.512 1109.44,683.245 1083.71,699.3 1060.93,713.915 \n",
       "  1040.73,727.301 1022.71,739.637 1006.54,751.072 991.925,761.723 978.576,771.684 966.251,781.025 954.728,789.794 943.813,798.027 933.333,805.742 923.137,812.948 \n",
       "  913.091,819.644 903.083,825.821 893.013,831.464 882.8,836.549 872.374,841.052 861.683,844.941 850.684,848.183 839.351,850.739 827.669,852.57 815.638,853.634 \n",
       "  803.272,853.89 790.6,853.294 777.666,851.806 764.53,849.388 751.271,846.008 737.982,841.638 724.776,836.263 711.78,829.878 699.142,822.493 687.018,814.137 \n",
       "  675.581,804.856 665.01,794.724 655.487,783.834 647.195,772.309 640.306,760.295 634.981,747.961 631.356,735.498 629.541,723.111 629.611,711.015 631.602,699.429 \n",
       "  635.508,688.563 641.277,678.617 648.819,669.765 657.998,662.157 668.648,655.906 680.573,651.091 693.556,647.752 707.366,645.893 721.769,645.483 736.534,646.463 \n",
       "  751.439,648.748 766.275,652.237 780.853,656.813 795.007,662.355 808.59,668.736 821.48,675.833 833.578,683.525 844.805,691.701 855.101,700.256 864.422,709.093 \n",
       "  872.741,718.127 880.043,727.279 886.32,736.479 891.576,745.667 895.82,754.787 899.064,763.79 901.325,772.632 902.621,781.273 902.97,789.675 902.393,797.804 \n",
       "  900.907,805.628 898.531,813.114 895.282,820.231 891.177,826.947 886.231,833.229 880.46,839.044 873.879,844.356 866.504,849.128 858.354,853.322 849.45,856.895 \n",
       "  839.816,859.804 829.48,862.002 818.48,863.442 806.859,864.075 794.669,863.85 781.977,862.719 768.857,860.633 755.403,857.549 741.722,853.427 727.936,848.237 \n",
       "  714.188,841.959 700.637,834.589 687.457,826.138 674.838,816.639 662.982,806.15 652.098,794.755 642.397,782.567 634.087,769.729 627.362,756.413 622.401,742.818 \n",
       "  619.35,729.165 618.322,715.691 619.388,702.642 622.571,690.262 627.845,678.787 635.13,668.429 644.301,659.375 655.189,651.772 667.586,645.729 681.258,641.309 \n",
       "  695.952,638.533 711.404,637.378 727.352,637.789 743.542,639.676 759.736,642.929 775.716,647.419 791.287,653.008 806.282,659.554 820.559,666.916 834.003,674.959 \n",
       "  846.524,683.553 858.053,692.581 868.543,701.934 877.961,711.517 886.292,721.243 893.531,731.036 899.682,740.83 904.757,750.565 908.773,760.191 911.75,769.661 \n",
       "  913.71,778.935 914.675,787.976 914.669,796.75 913.712,805.225 911.826,813.37 909.029,821.156 905.337,828.552 900.767,835.528 895.333,842.051 889.048,848.087 \n",
       "  881.924,853.602 873.976,858.556 865.218,862.909 855.667,866.617 845.344,869.632 834.276,871.905 822.496,873.383 810.045,874.011 796.975,873.732 783.35,872.49 \n",
       "  769.249,870.23 754.766,866.897 740.015,862.447 725.127,856.837 710.254,850.043 695.57,842.05 681.266,832.867 667.555,822.524 654.66,811.079 642.818,798.622 \n",
       "  632.269,785.275 623.246,771.198 615.975,756.582 610.657,741.653 607.461,726.66 606.516,711.877 607.9,697.582 611.636,684.056 617.69,671.566 625.967,660.352 \n",
       "  636.316,650.621 648.536,642.536 662.386,636.21 677.594,631.702 693.868,629.024 710.909,628.138 728.422,628.965 746.124,631.394 763.754,635.288 781.074,640.495 \n",
       "  797.879,646.853 813.993,654.2 829.271,662.377 843.599,671.233 856.89,680.63 869.082,690.441 880.133,700.552 890.02,710.862 898.737,721.284 906.287,731.742 \n",
       "  912.684,742.17 917.947,752.51 922.101,762.713 925.172,772.737 927.188,782.542 928.177,792.095 928.165,801.365 927.176,810.322 925.234,818.939 922.357,827.187 \n",
       "  918.563,835.039 913.867,842.466 908.28,849.437 901.814,855.92 894.477,861.879 886.28,867.278 877.231,872.073 867.342,876.22 856.628,879.671 845.108,882.372 \n",
       "  832.807,884.267 819.759,885.295 806.008,885.393 791.611,884.497 776.639,882.54 761.182,879.459 745.348,875.192 729.267,869.685 713.094,862.894 697.006,854.79 \n",
       "  681.206,845.363 665.921,834.626 651.394,822.623 637.89,809.432 625.68,795.169 615.037,779.992 606.226,764.098 599.495,747.728 595.055,731.157 593.078,714.687 \n",
       "  593.68,698.64 596.914,683.34 602.766,669.103 611.15,656.22 621.911,644.942 634.837,635.474 649.659,627.958 666.072,622.479 683.746,619.058 702.337,617.658 \n",
       "  721.506,618.193 740.929,620.535 760.304,624.527 779.36,629.991 797.862,636.739 815.611,644.585 832.446,653.344 848.239,662.846 862.897,672.93 876.355,683.456 \n",
       "  888.571,694.298 899.527,705.344 909.219,716.501 917.657,727.687 924.863,738.833 930.864,749.882 935.691,760.782 939.379,771.493 941.962,781.977 943.475,792.202 \n",
       "  943.949,802.14 943.414,811.764 941.896,821.049 939.417,829.972 935.997,838.506 931.65,846.627 926.389,854.307 920.222,861.517 913.156,868.226 905.194,874.397 \n",
       "  896.34,879.993 886.599,884.969 875.976,889.278 864.477,892.868 852.117,895.681 838.914,897.654 824.897,898.72 810.104,898.807 794.589,897.841 778.421,895.744 \n",
       "  761.689,892.438 744.506,887.851 727.009,881.913 709.362,874.565 691.759,865.765 674.423,855.489 657.607,843.743 641.588,830.566 626.665,816.034 613.153,800.271 \n",
       "  601.369,783.451 591.622,765.797 584.202,747.583 579.361,729.126 577.3,710.779 578.157,692.918 581.991,675.922 588.781,660.161 598.421,645.973 610.725,633.648 \n",
       "  625.432,623.412 642.223,615.422 660.734,609.759 680.576,606.427 701.352,605.365 722.671,606.452 744.165,609.522 765.499,614.379 786.376,620.807 806.545,628.583 \n",
       "  825.798,637.488 843.971,647.314 860.941,657.868 876.622,668.979 890.959,680.492 903.923,692.276 915.51,704.218 925.73,716.222 934.608,728.209 942.177,740.112 \n",
       "  948.479,751.877 953.554,763.458 957.449,774.818 960.206,785.925 961.867,796.751 962.471,807.274 962.05,817.47 960.636,827.32 958.252,836.803 954.919,845.899 \n",
       "  950.652,854.587 945.461,862.842 939.353,870.64 932.329,877.952 924.389,884.746 915.53,890.985 905.749,896.629 895.039,901.631 883.4,905.939 870.831,909.495 \n",
       "  857.336,912.235 842.93,914.088 827.633,914.976 811.48,914.816 794.523,913.52 776.832,910.996 758.5,907.152 739.647,901.895 720.423,895.14 701.012,886.811 \n",
       "  681.633,876.852 662.541,865.228 644.03,851.936 626.421,837.016 610.068,820.554 595.339,802.694 582.608,783.639 572.243,763.659 564.581,743.081 559.913,722.289 \n",
       "  558.467,701.71 560.386,681.794 565.722,662.993 574.42,645.74 586.323,630.423 601.18,617.364 618.652,606.8 638.336,598.88 659.786,593.654 682.535,591.086 \n",
       "  706.114,591.058 730.079,593.39 754.016,597.856 777.563,604.202 800.407,612.16 822.291,621.466 843.012,631.866 862.421,643.128 880.41,655.042 896.915,667.426 \n",
       "  911.904,680.122 925.372,692.999 937.336,705.947 947.83,718.876 956.898,731.714 964.592,744.402 970.968,756.894 976.084,769.152 979.996,781.147 982.757,792.854 \n",
       "  984.418,804.253 985.023,815.328 984.611,826.062 983.215,836.441 980.863,846.451 977.574,856.077 973.363,865.303 968.239,874.11 962.204,882.477 955.256,890.381 \n",
       "  947.388,897.795 938.591,904.684 928.85,911.014 918.151,916.74 906.479,921.813 893.818,926.177 880.158,929.768 865.492,932.515 849.822,934.335 833.159,935.141 \n",
       "  815.529,934.834 796.976,933.31 777.566,930.458 757.392,926.164 736.579,920.312 715.286,912.792 693.716,903.502 672.113,892.36 650.771,879.31 630.027,864.333 \n",
       "  610.263,847.457 591.895,828.772 575.368,808.437 561.136,786.687 549.643,763.841 541.3,740.296 536.462,716.519 535.401,693.033 538.282,670.391 545.15,649.145 \n",
       "  555.92,629.82 570.374,612.876 588.177,598.682 608.893,587.496 632.012,579.458 656.98,574.582 683.227,572.777 710.198,573.853 737.374,577.554 764.29,583.576 \n",
       "  790.545,591.59 815.808,601.267 839.819,612.288 862.382,624.36 883.361,637.221 902.675,650.643 920.283,664.432 936.181,678.429 950.395,692.503 962.967,706.549 \n",
       "  973.958,720.486 983.437,734.249 991.478,747.791 998.156,761.075 1003.55,774.072 1007.72,786.763 1010.74,799.132 1012.68,811.168 1013.58,822.861 1013.49,834.206 \n",
       "  1012.45,845.193 1010.49,855.818 1007.64,866.071 1003.91,875.945 999.302,885.428 993.828,894.508 987.48,903.169 980.245,911.39 972.109,919.149 963.049,926.418 \n",
       "  953.04,933.161 942.052,939.34 930.056,944.906 917.02,949.806 902.914,953.973 887.712,957.335 871.39,959.806 853.938,961.291 835.356,961.683 815.658,960.862 \n",
       "  794.884,958.698 773.097,955.053 750.396,949.779 726.919,942.727 702.849,933.752 678.424,922.717 653.936,909.507 629.742,894.041 606.259,876.282 583.963,856.26 \n",
       "  563.376,834.082 545.058,809.95 529.578,784.171 517.493,757.161 509.307,729.444 505.442,701.634 506.202,674.412 511.741,648.488 522.047,624.559 536.934,603.259 \n",
       "  556.046,585.12 578.884,570.534 604.835,559.734 633.213,552.784 663.305,549.596 694.406,549.946 725.857,553.511 757.066,559.9 787.531,568.687 816.84,579.446 \n",
       "  844.673,591.768 870.799,605.28 895.064,619.654 917.382,634.611 937.72,649.918 956.091,665.389 972.541,680.876 987.14,696.265 999.974,711.472 1011.14,726.434 \n",
       "  1020.75,741.106 1028.89,755.457 1035.67,769.468 1041.18,783.126 1045.52,796.425 1048.77,809.361 1050.99,821.937 1052.26,834.152 1052.62,846.009 1052.13,857.512 \n",
       "  1050.82,868.663 1048.72,879.463 1045.84,889.913 1042.21,900.013 1037.81,909.761 1032.66,919.15 1026.73,928.173 1020,936.821 1012.46,945.079 1004.06,952.928 \n",
       "  994.779,960.345 984.565,967.302 973.372,973.762 961.151,979.682 947.847,985.01 933.405,989.686 917.772,993.634 900.895,996.77 882.728,998.994 863.234,1000.19 \n",
       "  842.389,1000.23 820.186,998.954 796.647,996.207 771.822,991.803 745.805,985.546 718.738,977.231 690.824,966.65 662.339,953.602 633.636,937.908 605.155,919.427 \n",
       "  577.424,898.077 551.06,873.862 526.753,846.892 505.246,817.415 487.31,785.829 473.691,752.694 465.067,718.727 461.99,684.781 464.834,651.799 473.754,620.757 \n",
       "  488.654,592.594 509.191,568.132 534.789,548.021 564.686,532.683 597.989,522.295 633.742,516.795 670.988,515.91 708.828,519.205 746.459,526.137 783.203,536.113 \n",
       "  818.514,548.532 851.983,562.829 883.322,578.495 912.353,595.092 938.99,612.257 963.22,629.7 985.086,647.194 1004.67,664.57 1022.1,681.707 1037.49,698.517 \n",
       "  1051,714.945 1062.77,730.956 1072.95,746.532 1081.68,761.664 1089.1,776.356 1095.32,790.612 1100.47,804.443 1104.64,817.861 1107.94,830.88 1110.45,843.513 \n",
       "  1112.23,855.775 1113.36,867.679 1113.88,879.237 1113.83,890.463 1113.25,901.368 1112.18,911.963 1110.61,922.258 1108.58,932.262 1106.08,941.984 1103.11,951.43 \n",
       "  1099.67,960.606 1095.73,969.518 1091.29,978.167 1086.32,986.557 1080.78,994.686 1074.63,1002.55 1067.85,1010.15 1060.38,1017.47 1052.15,1024.51 1043.13,1031.24 \n",
       "  1033.22,1037.65 1022.38,1043.71 1010.51,1049.38 997.531,1054.63 983.355,1059.4 967.887,1063.63 951.03,1067.24 932.685,1070.14 912.756,1072.2 891.149,1073.31 \n",
       "  867.781,1073.29 842.585,1071.96 815.517,1069.1 786.567,1064.47 755.77,1057.77 723.224,1048.7 689.103,1036.92 653.681,1022.08 617.348,1003.83 580.63,981.856 \n",
       "  544.205,955.89 508.911,925.775 475.74,891.501 445.814,853.266 420.347,811.52 400.57,767.003 387.64,720.759 382.538,674.105 385.955,628.569 398.202,585.769 \n",
       "  419.146,547.275 448.207,514.453 484.394,488.324 526.403,469.479 572.737,458.043 621.845,453.704 672.24,455.802 722.594,463.436 771.798,475.589 818.986,491.228 \n",
       "  863.533,509.389 905.032,529.227 943.26,550.041 978.143,571.277 1009.72,592.52 1038.12,613.47 1063.51,633.924 1086.11,653.754 1106.16,672.889 1123.89,691.295 \n",
       "  1139.55,708.969 1153.38,725.923 1165.6,742.18 1176.41,757.769 1186.02,772.723 1194.6,787.071 1202.32,800.846 1209.33,814.073 1215.78,826.779 1221.77,838.987 \n",
       "  1227.43,850.715 1232.86,861.982 1238.16,872.8 1243.4,883.183 1248.68,893.138 1254.06,902.672 1259.61,911.787 1265.41,920.486 1271.52,928.764 1278,936.617 \n",
       "  1284.92,944.035 1292.34,951.006 1300.34,957.513 1308.96,963.534 1318.3,969.042 1328.41,974.005 1339.38,978.383 1351.28,982.131 1364.2,985.191 1378.21,987.5 \n",
       "  1393.4,988.982 1409.87,989.551 1427.68,989.104 1446.93,987.528 1467.69,984.693 1490.01,980.453 1513.94,974.646 1539.5,967.096 1566.69,957.615 1595.43,946.006 \n",
       "  1625.61,932.07 1657.06,915.618 1689.5,896.48 1722.56,874.529 1755.77,849.702 1788.51,822.02 1820.05,791.631 1849.55,758.825 1876.06,724.072 1898.57,688.028 \n",
       "  1916.08,651.54 1927.64,615.621 1932.47,581.4 1929.98,550.042 1919.93,522.661 1902.4,500.208 1877.81,483.381 1846.93,472.559 1810.8,467.774 1770.6,468.725 \n",
       "  1727.61,474.835 1683.09,485.334 1638.18,499.352 1593.88,516.007 1550.99,534.471 1510.14,554.026 1471.77,574.079 1436.14,594.177 1403.4,613.99 1373.57,633.3 \n",
       "  1346.61,651.977 1322.4,669.956 1300.79,687.223 1281.6,703.796 1264.63,719.711 1249.69,735.015 1236.57,749.758 1225.08,763.991 1215.04,777.758 1206.28,791.102 \n",
       "  1198.64,804.057 1191.97,816.655 1186.14,828.919 1181.03,840.87 1176.52,852.527 1172.54,863.902 1168.97,875.006 1165.76,885.851 1162.83,896.442 1160.11,906.787 \n",
       "  1157.56,916.892 1155.12,926.763 1152.75,936.403 1150.4,945.819 1148.04,955.014 1145.64,963.993 1143.15,972.76 1140.56,981.319 1137.81,989.674 1134.9,997.83 \n",
       "  1131.77,1005.79 1128.41,1013.56 1124.76,1021.14 1120.81,1028.53 1116.51,1035.73 1111.83,1042.76 1106.7,1049.59 1101.1,1056.25 1094.96,1062.72 1088.24,1068.99 \n",
       "  1080.86,1075.07 1072.77,1080.93 1063.88,1086.58 1054.13,1091.98 1043.41,1097.12 1031.65,1101.96 1018.73,1106.46 1004.56,1110.58 989.003,1114.26 971.952,1117.41 \n",
       "  953.277,1119.95 932.849,1121.76 910.538,1122.7 886.221,1122.59 859.785,1121.25 831.134,1118.41 800.206,1113.81 766.982,1107.12 731.505,1097.95 693.903,1085.89 \n",
       "  654.411,1070.48 613.406,1051.26 571.43,1027.75 529.22,999.538 487.729,966.295 448.135,927.862 411.818,884.326 380.322,836.094 355.265,783.967 338.224,729.177 \n",
       "  330.575,673.368 333.337,618.522 347.015,566.8 371.51,520.33 406.082,480.971 449.421,450.101 499.782,428.471 555.17,416.162 613.548,412.643 673.007,416.906 \n",
       "  731.896,427.647 788.892,443.449 843.015,462.928 893.611,484.846 940.304,508.164 982.942,532.06 1021.54,555.925 1056.25,579.329 1087.28,601.99 1114.91,623.741 \n",
       "  1139.45,644.499 1161.2,664.238 1180.47,682.968 1197.57,700.725 1212.78,717.553 1226.38,733.505 1238.6,748.631 1249.68,762.978 1259.82,776.592 1269.23,789.509 \n",
       "  1278.08,801.762 1286.52,813.377 1294.71,824.375 1302.76,834.771 1310.81,844.574 1318.96,853.79 1327.32,862.416 1335.98,870.447 1345.03,877.872 1354.56,884.673 \n",
       "  1364.64,890.829 1375.36,896.309 1386.79,901.078 1398.99,905.095 1412.04,908.309 1425.99,910.664 1440.9,912.094 1456.83,912.524 1473.81,911.874 1491.87,910.053 \n",
       "  1511.03,906.963 1531.3,902.501 1552.63,896.557 1574.97,889.024 1598.24,879.794 1622.3,868.77 1646.98,855.871 1672.02,841.037 1697.14,824.249 1721.98,805.534 \n",
       "  1746.1,784.978 1769.02,762.745 1790.19,739.082 1809.03,714.329 1824.96,688.925 1837.38,663.394 1845.78,638.337 1849.71,614.401 1848.85,592.247 1843.05,572.503 \n",
       "  1832.31,555.724 1816.85,542.347 1797.03,532.662 1773.39,526.791 1746.56,524.688 1717.27,526.155 1686.26,530.867 1654.27,538.412 1621.97,548.329 1589.98,560.142 \n",
       "  1558.8,573.398 1528.86,587.681 1500.48,602.633 1473.87,617.956 1449.2,633.414 1426.54,648.825 1405.91,664.059 1387.3,679.025 1370.65,693.664 1355.88,707.942 \n",
       "  1342.9,721.842 1331.6,735.36 1321.88,748.497 1313.62,761.261 1306.73,773.661 1301.1,785.705 1296.63,797.402 1293.26,808.758 1290.88,819.778 1289.45,830.463 \n",
       "  1288.91,840.815 1289.19,850.832 1290.28,860.509 1292.13,869.84 1294.73,878.817 1298.06,887.43 1302.11,895.665 1306.9,903.508 1312.44,910.939 1318.73,917.938 \n",
       "  1325.8,924.479 1333.7,930.533 1342.44,936.067 1352.08,941.042 1362.67,945.414 1374.25,949.131 1386.88,952.134 1400.62,954.356 1415.53,955.72 1431.67,956.14 \n",
       "  1449.1,955.519 1467.87,953.747 1488.01,950.703 1509.55,946.255 1532.51,940.261 1556.86,932.568 1582.54,923.022 1609.46,911.464 1637.45,897.748 1666.31,881.741 \n",
       "  1695.74,863.345 1725.34,842.507 1754.66,819.24 1783.11,793.644 1810.03,765.93 1834.68,736.433 1856.26,705.632 1873.97,674.146 1887,642.731 1894.68,612.243 \n",
       "  1896.44,583.599 1891.93,557.711 1881.06,535.415 1863.99,517.398 1841.15,504.141 1813.21,495.875 1781.03,492.574 1745.58,493.972 1707.89,499.605 1668.95,508.874 \n",
       "  1629.7,521.106 1590.92,535.619 1553.3,551.768 1517.36,568.984 1483.47,586.788 1451.88,604.8 1422.75,622.736 1396.13,640.391 1371.99,657.635 1350.28,674.388 \n",
       "  1330.88,690.614 1313.65,706.305 1298.46,721.471 1285.14,736.135 1273.54,750.325 1263.5,764.071 1254.88,777.403 1247.52,790.348 1241.32,802.929 1236.13,815.168 \n",
       "  1231.87,827.082 1228.43,838.684 1225.72,849.987 1223.68,861 1222.23,871.728 1221.33,882.179 1220.93,892.355 1220.99,902.26 1221.47,911.895 1222.37,921.262 \n",
       "  1223.65,930.361 1225.32,939.191 1227.36,947.75 1229.78,956.038 1232.58,964.052 1235.78,971.787 1239.39,979.238 1243.43,986.4 1247.94,993.264 1252.94,999.822 \n",
       "  1258.46,1006.06 1264.56,1011.97 1271.27,1017.52 1278.66,1022.7 1286.78,1027.49 1295.69,1031.85 1305.47,1035.75 1316.2,1039.15 1327.96,1041.99 1340.84,1044.23 \n",
       "  1354.94,1045.77 1370.37,1046.56 1387.22,1046.48 1405.62,1045.44 1425.68,1043.29 1447.5,1039.89 1471.18,1035.07 1496.82,1028.63 1524.49,1020.35 1554.22,1010 \n",
       "  1586,997.302 1619.76,981.986 1655.36,963.769 1692.55,942.381 1730.95,917.58 1770.04,889.19 1809.13,857.13 1847.33,821.467 1883.59,782.457 1916.68,740.599 \n",
       "  1945.24,696.666 1967.89,651.727 1983.26,607.121 1990.19,564.398 1987.82,525.203 1975.72,491.13 1953.97,463.547 1923.17,443.443 1884.41,431.311 1839.17,427.107 \n",
       "  1789.14,430.287 1736.08,439.908 1681.68,454.774 1627.42,473.592 1574.55,495.108 1523.99,518.206 1476.42,541.968 1432.25,565.689 1391.7,588.872 1354.8,611.2 \n",
       "  1321.48,632.497 1291.59,652.695 1264.9,671.801 1241.17,689.869 1220.12,706.979 1201.49,723.224 1184.99,738.696 1170.37,753.482 1157.4,767.662 1145.82,781.303 \n",
       "  1135.44,794.464 1126.04,807.19 1117.47,819.52 1109.54,831.483 1102.12,843.101 1095.06,854.393 1088.24,865.367 1081.54,876.033 1074.87,886.394 1068.12,896.451 \n",
       "  1061.21,906.2 1054.05,915.638 1046.56,924.757 1038.66,933.545 1030.27,941.989 1021.32,950.072 1011.74,957.772 1001.45,965.062 990.386,971.912 978.462,978.282 \n",
       "  965.609,984.128 951.753,989.395 936.823,994.018 920.749,997.923 903.466,1001.02 884.916,1003.21 865.052,1004.37 843.841,1004.37 821.27,1003.05 797.351,1000.25 \n",
       "  772.131,995.776 745.698,989.425 718.195,980.985 689.823,970.243 660.86,956.989 631.663,941.036 602.682,922.235 574.456,900.498 547.617,875.825 522.876,848.327 \n",
       "  500.996,818.255 482.771,786.017 468.972,752.191 460.295,717.518 457.31,682.879 460.397,649.25 469.711,617.64 485.145,589.014 506.334,564.219 532.677,543.916 \n",
       "  563.376,528.527 597.507,518.223 634.08,512.92 672.113,512.324 710.684,515.972 748.977,523.296 786.304,533.677 822.119,546.497 856.015,561.175 887.708,577.193 \n",
       "  917.03,594.107 943.901,611.552 968.319,629.238 990.335,646.94 1010.04,664.493 1027.57,681.778 1043.04,698.712 1056.63,715.242 1068.47,731.336 1078.72,746.98 \n",
       "  1087.52,762.168 1095.02,776.905 1101.34,791.197 1106.59,805.057 1110.9,818.498 1114.34,831.535 1117.02,844.183 1118.99,856.457 1120.33,868.37 1121.1,879.938 \n",
       "  1121.32,891.172 1121.05,902.086 1120.32,912.691 1119.13,922.999 1117.51,933.019 1115.47,942.76 1113.01,952.23 1110.13,961.438 1106.8,970.389 1103.03,979.089 \n",
       "  1098.79,987.541 1094.05,995.747 1088.78,1003.71 1082.95,1011.43 1076.51,1018.89 1069.41,1026.11 1061.61,1033.05 1053.04,1039.73 1043.63,1046.1 1033.32,1052.17 \n",
       "  1022.02,1057.88 1009.65,1063.21 996.121,1068.12 981.333,1072.54 965.186,1076.4 947.576,1079.62 928.398,1082.1 907.549,1083.72 884.931,1084.31 860.459,1083.72 \n",
       "  834.063,1081.73 805.703,1078.1 775.377,1072.56 743.134,1064.8 709.096,1054.48 673.473,1041.24 636.583,1024.69 598.88,1004.47 560.966,980.256 523.615,951.783 \n",
       "  487.769,918.925 454.535,881.735 425.146,840.508 400.911,795.828 383.122,748.602 372.959,700.062 371.355,651.716 378.892,605.254 395.704,562.405 421.441,524.776 \n",
       "  455.275,493.677 495.98,469.997 542.049,454.127 591.841,445.96 643.723,444.958 696.19,450.257 747.951,460.806 797.968,475.49 845.469,493.231 889.931,513.065 \n",
       "  931.041,534.173 968.668,555.903 1002.81,577.754 1033.58,599.366 1061.14,620.49 1085.7,640.967 1107.52,660.707 1126.86,679.667 1143.95,697.836 1159.07,715.227 \n",
       "  1172.45,731.864 1184.32,747.781 1194.89,763.012 1204.35,777.591 1212.9,791.553 1220.69,804.928 1227.87,817.744 1234.59,830.024 1240.96,841.791 1247.1,853.061 \n",
       "  1253.12,863.85 1259.1,874.167 1265.14,884.02 1271.32,893.414 1277.72,902.349 1284.42,910.824 1291.48,918.832 1298.98,926.363 1306.98,933.403 1315.57,939.933 \n",
       "  1324.8,945.928 1334.76,951.36 1345.51,956.192 1357.13,960.381 1369.7,963.877 1383.3,966.619 1397.99,968.537 1413.88,969.553 1431.01,969.573 1449.48,968.493 \n",
       "  1469.34,966.196 1490.64,962.55 1513.42,957.41 1537.68,950.621 1563.42,942.014 1590.57,931.418 1619.02,918.661 1648.59,903.578 1679.05,886.028 1710.06,865.904 \n",
       "  1741.18,843.156 1771.87,817.809 1801.5,789.994 1829.31,759.968 1854.47,728.133 1876.1,695.054 1893.3,661.46 1905.24,628.218 1911.18,596.306 1910.59,566.743 \n",
       "  1903.17,540.52 1888.92,518.51 1868.14,501.392 1841.42,489.586 1809.59,483.221 1773.67,482.139 1734.76,485.926 1693.99,493.979 1652.42,505.574 1610.99,519.947 \n",
       "  1570.51,536.352 1531.61,554.115 1494.77,572.662 1460.32,591.531 1428.44,610.368 1399.22,628.923 1372.68,647.031 1348.74,664.591 1327.3,681.559 1308.21,697.923 \n",
       "  1291.31,713.697 1276.42,728.908 1263.38,743.593 1252.01,757.79 1242.15,771.536 1233.63,784.865 1226.3,797.81 1220.04,810.395 1214.72,822.646 1210.23,834.579 \n",
       "  1206.46,846.21 1203.33,857.554 1200.75,868.619 1198.67,879.413 1197.02,889.946 1195.75,900.22 1194.81,910.243 1194.18,920.018 1193.81,929.548 1193.68,938.837 \n",
       "  1193.77,947.889 1194.07,956.706 1194.57,965.291 1195.25,973.647 1196.11,981.775 1197.15,989.68 1198.38,997.361 1199.78,1004.82 1201.38,1012.06 1203.19,1019.09 \n",
       "  1205.2,1025.89 1207.45,1032.48 1209.94,1038.86 1212.7,1045.01 1215.75,1050.94 1219.12,1056.65 1222.84,1062.13 1226.94,1067.38 1231.46,1072.39 1236.44,1077.14 \n",
       "  1241.93,1081.64 1247.98,1085.86 1254.65,1089.79 1262,1093.41 1270.11,1096.69 1279.05,1099.6 1288.91,1102.11 1299.77,1104.16 1311.75,1105.71 1324.96,1106.7 \n",
       "  1339.51,1107.05 1355.53,1106.66 1373.16,1105.44 1392.54,1103.25 1413.82,1099.95 1437.14,1095.37 1462.66,1089.29 1490.5,1081.49 1520.78,1071.7 1553.58,1059.6 \n",
       "  1588.94,1044.87 1626.82,1027.13 1667.09,1006.01 1709.49,981.124 1753.59,952.111 1798.79,918.69 1844.22,880.694 1888.8,838.147 1931.14,791.331 1969.63,740.872 \n",
       "  2002.46,687.793 2027.77,633.544 2043.77,579.976 2048.92,529.233 2042.2,483.573 2023.2,445.118 1992.29,415.591 1950.57,396.079 1899.77,386.897 1842.08,387.578 \n",
       "  1779.84,396.983 1715.37,413.52 1650.73,435.381 1587.63,460.779 1527.34,488.116 1470.75,516.089 1418.41,543.719 1370.54,570.342 1327.17,595.558 1288.17,619.175 \n",
       "  1253.3,641.154 1222.25,661.551 1194.7,680.483 1170.27,698.096 1148.62,714.541 1129.42,729.965 1112.32,744.501 1097.04,758.265 1083.29,771.354 1070.81,783.845 \n",
       "  1059.37,795.803 1048.74,807.273 1038.74,818.292 1029.19,828.881 1019.92,839.056 1010.79,848.822 1001.68,858.177 992.458,867.116 983.021,875.624 973.268,883.683 \n",
       "  963.109,891.27 952.462,898.354 941.251,904.903 929.406,910.874 916.867,916.221 903.578,920.89 889.493,924.82 874.576,927.943 858.801,930.181 842.154,931.45 \n",
       "  824.64,931.657 806.279,930.701 787.117,928.476 767.224,924.872 746.701,919.775 725.685,913.077 704.352,904.676 682.92,894.483 661.654,882.435 640.862,868.499 \n",
       "  620.897,852.685 602.152,835.057 585.047,815.743 570.021,794.944 557.51,772.937 547.931,750.078 541.651,726.796 538.971,703.579 540.096,680.955 545.12,659.466 \n",
       "  554.016,639.635 566.626,621.941 582.672,606.785 601.773,594.468 623.46,585.177 647.21,578.983 672.472,575.845 698.696,575.62 725.358,578.089 751.977,582.976 \n",
       "  778.132,589.972 803.465,598.756 827.689,609.012 850.581,620.442 871.98,632.775 891.778,645.772 909.917,659.227 926.373,672.968 941.156,686.851 954.299,700.762 \n",
       "  965.852,714.609 975.876,728.319 984.441,741.837 991.619,755.12 997.482,768.135 1002.1,780.858 1005.54,793.27 1007.87,805.357 1009.14,817.109 1009.39,828.515 \n",
       "  1008.67,839.568 1007.02,850.26 1004.45,860.583 1000.99,870.527 996.653,880.081 991.434,889.232 985.335,897.964 978.347,906.258 970.458,914.09 961.647,921.434 \n",
       "  951.892,928.255 941.168,934.515 929.445,940.168 916.696,945.16 902.891,949.428 888.007,952.902 872.024,955.5 854.93,957.128 836.727,957.684 817.429,957.052 \n",
       "  797.075,955.108 775.726,951.717 753.477,946.739 730.459,940.029 706.85,931.447 682.875,920.861 658.815,908.158 635.012,893.259 611.865,876.124 589.829,856.779 \n",
       "  569.407,835.319 551.138,811.932 535.572,786.902 523.251,760.622 514.671,733.586 510.25,706.376 510.301,679.645 514.994,654.075 524.341,630.344 538.189,609.076 \n",
       "  556.218,590.804 577.969,575.931 602.864,564.708 630.252,557.228 659.443,553.435 689.751,553.136 720.527,556.038 751.184,561.775 781.214,569.943 810.197,580.128 \n",
       "  837.803,591.932 863.789,604.985 887.986,618.96 910.293,633.573 930.668,648.59 949.109,663.816 965.654,679.101 980.362,694.323 993.314,709.392 1004.6,724.241 \n",
       "  1014.32,738.82 1022.57,753.096 1029.44,767.044 1035.04,780.65 1039.44,793.904 1042.73,806.802 1044.98,819.343 1046.26,831.525 1046.61,843.351 1046.08,854.822 \n",
       "  1044.72,865.938 1042.54,876.701 1039.57,887.109 1035.82,897.162 1031.29,906.854 1025.98,916.179 1019.86,925.129 1012.94,933.691 1005.18,941.849 996.542,949.581 \n",
       "  987.001,956.864 976.512,963.664 965.029,969.944 952.503,975.657 938.885,980.747 924.122,985.149 908.166,988.786 890.97,991.568 872.497,993.39 852.717,994.134 \n",
       "  831.62,993.664 809.213,991.829 785.532,988.462 760.648,983.381 734.676,976.394 707.785,967.303 680.203,955.915 652.233,942.045 624.255,925.543 596.733,906.3 \n",
       "  570.215,884.276 545.327,859.524 522.757,832.21 503.231,802.635 487.48,771.253 476.195,738.666 469.977,705.619 469.287,672.968 474.399,641.633 485.363,612.537 \n",
       "  501.996,586.538 523.878,564.365 550.386,546.554 580.74,533.427 614.058,525.067 649.418,521.342 685.92,521.938 722.731,526.401 759.117,534.195 794.469,544.751 \n",
       "  828.303,557.505 860.26,571.933 890.096,587.569 917.665,604.015 942.902,620.942 965.81,638.09 986.44,655.256 1004.88,672.288 1021.24,689.077 1035.66,705.545 \n",
       "  1048.27,721.643 1059.21,737.338 1068.62,752.614 1076.63,767.464 1083.37,781.889 1088.96,795.896 1093.49,809.492 1097.08,822.688 1099.8,835.498 1101.72,847.932 \n",
       "  1102.92,860.003 1103.45,871.724 1103.35,883.105 1102.66,894.158 1101.41,904.893 1099.61,915.318 1097.28,925.443 1094.43,935.273 1091.05,944.815 1087.13,954.073 \n",
       "  1082.66,963.049 1077.61,971.745 1071.97,980.16 1065.68,988.29 1058.73,996.128 1051.06,1003.67 1042.61,1010.89 1033.33,1017.78 1023.16,1024.32 1012.02,1030.48 \n",
       "  999.851,1036.21 986.558,1041.48 972.061,1046.23 956.272,1050.38 939.101,1053.86 920.458,1056.57 900.258,1058.39 878.421,1059.18 854.88,1058.77 829.587,1056.98 \n",
       "  802.523,1053.58 773.704,1048.33 743.197,1040.96 711.135,1031.16 677.729,1018.62 643.291,1003.02 608.249,984.056 573.161,961.456 538.727,935.032 505.79,904.705 \n",
       "  475.325,870.555 448.407,832.869 426.168,792.179 409.719,749.284 400.07,705.249 398.025,661.362 404.098,619.064 418.433,579.833 440.77,545.052 470.448,515.878 \n",
       "  506.464,493.131 547.559,477.231 592.337,468.185 639.377,465.625 687.341,468.897 735.044,477.153 781.506,489.462 825.967,504.894 867.882,522.587 906.895,541.79 \n",
       "  942.817,561.88 975.588,582.364 1005.25,602.869 1031.92,623.127 1055.76,642.95 1076.97,662.221 1095.77,680.87 1112.37,698.864 1127,716.193 1139.88,732.865 \n",
       "  1151.22,748.899 1161.2,764.319 1170,779.151 1177.8,793.422 1184.75,807.16 1190.98,820.391 1196.61,833.137 1201.77,845.42 1206.56,857.26 1211.05,868.674 \n",
       "  1215.36,879.678 1219.53,890.284 1223.66,900.505 1227.8,910.35 1232.01,919.825 1236.35,928.936 1240.88,937.688 1245.64,946.08 1250.7,954.113 1256.1,961.783 \n",
       "  1261.9,969.084 1268.15,976.007 1274.92,982.541 1282.25,988.669 1290.22,994.372 1298.88,999.626 1308.32,1004.4 1318.61,1008.66 1329.82,1012.36 1342.04,1015.45 \n",
       "  1355.37,1017.87 1369.89,1019.55 1385.7,1020.41 1402.9,1020.34 1421.59,1019.24 1441.87,1016.98 1463.83,1013.41 1487.55,1008.36 1513.08,1001.65 1540.47,993.065 \n",
       "  1569.72,982.387 1600.77,969.378 1633.52,953.797 1667.76,935.406 1703.2,913.992 1739.43,889.385 1775.89,861.49 1811.87,830.318 1846.5,796.027 1878.78,758.961 \n",
       "  1907.57,719.684 1931.67,679 1949.86,637.954 1961.04,597.793 1964.3,559.902 1959.03,525.693 1945.02,496.481 1922.48,473.341 1892.1,456.996 1854.92,447.742 \n",
       "  1812.27,445.432 1765.65,449.522 1716.59,459.163 1666.53,473.318 1616.73,490.89 1568.26,510.825 1521.92,532.184 1478.28,554.195 1437.71,576.257 1400.4,597.942 \n",
       "  1366.4,618.966 1335.66,639.166 1308.04,658.467 1283.37,676.861 1261.43,694.38 1241.97,711.082 1224.77,727.035 1209.59,742.311 1196.19,756.982 1184.36,771.11 \n",
       "  1173.89,784.751 1164.59,797.954 1156.28,810.759 1148.81,823.199 1142.03,835.3 1135.8,847.084 1130,858.567 1124.53,869.762 1119.27,880.678 1114.15,891.323 \n",
       "  1109.08,901.702 1103.98,911.819 1098.78,921.674 1093.41,931.27 1087.8,940.604 1081.89,949.676 1075.62,958.479 1068.92,967.01 1061.73,975.26 1053.99,983.218 \n",
       "  1045.63,990.871 1036.58,998.202 1026.77,1005.19 1016.12,1011.81 1004.56,1018.02 992.01,1023.79 978.38,1029.07 963.585,1033.79 947.539,1037.89 930.155,1041.28 \n",
       "  911.347,1043.85 891.036,1045.5 869.154,1046.07 845.646,1045.4 820.478,1043.3 793.648,1039.56 765.192,1033.94 735.2,1026.17 703.826,1015.98 671.306,1003.06 \n",
       "  637.972,987.136 604.269,967.934 570.764,945.238 538.156,918.908 507.268,888.926 479.037,855.431 454.479,818.762 434.636,779.486 420.517,738.415 413.005,696.589 \n",
       "  412.781,655.239 420.236,615.703 435.421,579.327 458.016,547.344 487.348,520.76 522.444,500.266 562.119,486.185 605.076,478.476 650.009,476.768 695.697,480.444 \n",
       "  741.06,488.721 785.205,500.749 827.44,515.683 867.263,532.74 904.346,551.234 938.513,570.597 969.702,590.373 997.95,610.216 1023.36,629.871 1046.07,649.161 \n",
       "  1066.28,667.968 1084.17,686.221 1099.95,703.883 1113.83,720.939 1126,737.392 1136.67,753.256 1146,768.548 1154.17,783.291 1161.32,797.509 1167.61,811.227 \n",
       "  1173.15,824.467 1178.07,837.252 1182.47,849.602 1186.43,861.537 1190.04,873.073 1193.39,884.228 1196.53,895.015 1199.52,905.448 1202.43,915.539 1205.29,925.297 \n",
       "  1208.17,934.732 1211.09,943.852 1214.1,952.663 1217.24,961.171 1220.55,969.38 1224.07,977.292 1227.83,984.907 1231.88,992.227 1236.25,999.248 1240.98,1005.97 \n",
       "  1246.13,1012.38 1251.73,1018.47 1257.84,1024.23 1264.52,1029.65 1271.83,1034.71 1279.82,1039.39 1288.57,1043.65 1298.16,1047.48 1308.67,1050.82 1320.18,1053.63 \n",
       "  1332.79,1055.85 1346.61,1057.42 1361.73,1058.26 1378.28,1058.28 1396.37,1057.36 1416.12,1055.39 1437.65,1052.21 1461.08,1047.65 1486.5,1041.52 1514,1033.6 \n",
       "  1543.63,1023.64 1575.43,1011.38 1609.34,996.521 1645.25,978.766 1682.95,957.819 1722.1,933.404 1762.22,905.298 1802.63,873.368 1842.5,837.615 1880.76,798.227 \n",
       "  1916.18,755.634 1947.35,710.552 1972.8,664.013 1991.06,617.355 2000.82,572.171 2001.04,530.201 1991.13,493.182 1971.02,462.657 1941.22,439.802 1902.76,425.28 \n",
       "  1857.13,419.173 1806.09,421.005 1751.53,429.839 1695.25,444.429 1638.88,463.393 1583.77,485.369 1530.97,509.133 1481.22,533.668 1434.99,558.192 1392.51,582.149 \n",
       "  1353.86,605.185 1318.96,627.103 1287.64,647.827 1259.68,667.364 1234.81,685.776 1212.75,703.151 1193.21,719.592 1175.89,735.201 1160.54,750.076 1146.88,764.305 \n",
       "  1134.68,777.961 1123.7,791.108 1113.75,803.797 1104.62,816.07 1096.16,827.958 1088.19,839.484 1080.58,850.666 1073.2,861.514 1065.92,872.036 1058.63,882.233 \n",
       "  1051.24,892.103 1043.64,901.642 1035.76,910.842 1027.5,919.69 1018.78,928.171 1009.52,936.266 999.653,943.951 989.097,951.197 977.781,957.971 965.632,964.231 \n",
       "  952.578,969.929 938.552,975.008 923.488,979.401 907.325,983.031 890.008,985.808 871.492,987.628 851.745,988.374 830.75,987.914 808.514,986.098 785.071,982.766 \n",
       "  760.492,977.74 734.89,970.837 708.43,961.867 681.339,950.645 653.914,936.999 626.524,920.789 599.624,901.915 573.743,880.349 549.486,856.149 527.517,829.483 \n",
       "  508.532,800.65 493.232,770.089 482.275,738.385 476.236,706.256 475.551,674.52 480.482,644.06 491.078,615.759 507.161,590.438 528.334,568.795 554.005,551.351 \n",
       "  583.43,538.418 615.764,530.088 650.125,526.248 685.648,526.605 721.524,530.736 757.043,538.136 791.607,548.262 824.738,560.574 856.08,574.568 885.384,589.79 \n",
       "  912.497,605.851 937.348,622.429 959.929,639.264 980.283,656.153 998.488,672.942 1014.65,689.519 1028.89,705.805 1041.34,721.744 1052.12,737.302 1061.39,752.46 \n",
       "  1069.25,767.208 1075.84,781.544 1081.26,795.471 1085.62,808.997 1089,822.131 1091.5,834.882 1093.19,847.262 1094.12,859.282 1094.34,870.952 1093.91,882.283 \n",
       "  1092.85,893.284 1091.18,903.963 1088.94,914.329 1086.11,924.387 1082.71,934.143 1078.73,943.6 1074.16,952.761 1068.97,961.624 1063.15,970.189 1056.65,978.449 \n",
       "  1049.45,986.398 1041.49,994.024 1032.73,1001.31 1023.11,1008.24 1012.57,1014.78 1001.04,1020.9 988.445,1026.57 974.71,1031.72 959.754,1036.3 943.495,1040.24 \n",
       "  925.849,1043.44 906.737,1045.8 886.083,1047.2 863.822,1047.48 839.905,1046.48 814.306,1044.01 787.032,1039.83 758.13,1033.7 727.704,1025.35 695.927,1014.5 \n",
       "  663.059,1000.85 629.457,984.102 595.597,964.003 562.081,940.347 529.644,913.014 499.143,882.021 471.546,847.548 447.89,809.988 429.225,769.972 416.547,728.373 \n",
       "  410.707,686.294 412.329,645.009 421.731,605.883 438.873,570.259 463.343,539.334 494.381,514.055 530.941,495.029 571.792,482.488 615.611,476.302 661.096,476.024 \n",
       "  707.045,480.979 752.416,490.351 796.36,503.274 838.23,518.906 877.569,536.48 914.089,555.335 947.648,574.927 978.212,594.826 1005.84,614.711 1030.64,634.347 \n",
       "  1052.79,653.574 1072.46,672.288 1089.86,690.428 1105.21,707.964 1118.69,724.889 1130.52,741.207 1140.89,756.934 1149.96,772.092 1157.92,786.703 1164.9,800.793 \n",
       "  1171.05,814.384 1176.49,827.501 1181.34,840.166 1185.7,852.397 1189.65,864.216 1193.29,875.638 1196.68,886.679 1199.89,897.354 1202.98,907.674 1206.01,917.651 \n",
       "  1209.03,927.295 1212.08,936.614 1215.2,945.616 1218.45,954.305 1221.85,962.687 1225.45,970.764 1229.29,978.537 1233.41,986.007 1237.85,993.171 1242.66,1000.02 \n",
       "  1247.87,1006.56 1253.54,1012.78 1259.73,1018.66 1266.47,1024.18 1273.85,1029.34 1281.91,1034.11 1290.73,1038.46 1300.39,1042.36 1310.97,1045.77 1322.55,1048.63 \n",
       "  1335.23,1050.91 1349.12,1052.52 1364.3,1053.39 1380.91,1053.43 1399.05,1052.52 1418.85,1050.54 1440.4,1047.35 1463.84,1042.77 1489.25,1036.61 1516.71,1028.66 \n",
       "  1546.28,1018.66 1577.96,1006.35 1611.72,991.459 1647.41,973.681 1684.83,952.731 1723.63,928.348 1763.3,900.322 1803.2,868.535 1842.46,833.008 1880.04,793.943 \n",
       "  1914.71,751.785 1945.09,707.261 1969.75,661.4 1987.25,615.528 1996.32,571.211 1996,530.15 1985.72,494.028 1965.45,464.334 1935.7,442.188 1897.52,428.212 \n",
       "  1852.36,422.466 1801.96,424.47 1748.14,433.302 1692.66,447.749 1637.12,466.466 1582.83,488.132 1530.81,511.559 1481.78,535.758 1436.2,559.967 1394.31,583.645 \n",
       "  1356.18,606.443 1321.74,628.166 1290.82,648.737 1263.21,668.158 1238.65,686.487 1216.86,703.806 1197.56,720.215 1180.47,735.811 1165.32,750.689 1151.86,764.932 \n",
       "  1139.84,778.614 1129.04,791.795 1119.27,804.526 1110.33,816.847 1102.05,828.789 1094.27,840.376 1086.87,851.625 1079.7,862.547 1072.65,873.15 1065.61,883.436 \n",
       "  1058.48,893.405 1051.17,903.053 1043.59,912.374 1035.65,921.357 1027.28,929.989 1018.4,938.254 1008.92,946.131 998.785,953.593 987.91,960.61 976.223,967.146 \n",
       "  963.654,973.157 950.129,978.59 935.58,983.384 919.941,987.467 903.149,990.757 885.15,993.155 865.901,994.55 845.37,994.815 823.546,993.808 800.442,991.369 \n",
       "  776.103,987.324 750.613,981.484 724.104,973.654 696.765,963.634 668.852,951.23 640.699,936.27 612.719,918.614 585.411,898.178 559.36,874.957 535.219,849.046 \n",
       "  513.701,820.663 495.541,790.172 481.466,758.091 472.138,725.085 468.113,691.955 469.781,659.595 477.33,628.941 490.714,600.904 509.65,576.302 533.626,555.793 \n",
       "  561.942,539.832 593.764,528.642 628.179,522.215 664.263,520.335 701.133,522.619 737.989,528.571 774.144,537.63 809.039,549.22 842.241,562.788 873.441,577.83 \n",
       "  902.436,593.903 929.118,610.639 953.452,627.736 975.464,644.958 995.223,662.124 1012.83,679.103 1028.41,695.798 1042.1,712.145 1054.03,728.103 1064.35,743.647 \n",
       "  1073.19,758.765 1080.69,773.455 1086.97,787.721 1092.14,801.569 1096.31,815.009 1099.56,828.054 1101.98,840.716 1103.64,853.008 1104.61,864.941 1104.92,876.528 \n",
       "  1104.63,887.781 1103.77,898.709 1102.36,909.324 1100.42,919.633 1097.95,929.646 1094.98,939.368 1091.47,948.805 1087.44,957.961 1082.85,966.838 1077.69,975.438 \n",
       "  1071.93,983.759 1065.54,991.797 1058.46,999.546 1050.65,1006.99 1042.07,1014.13 1032.64,1020.93 1022.31,1027.38 1011.01,1033.44 998.648,1039.08 985.153,1044.25 \n",
       "  970.436,1048.88 954.409,1052.92 936.979,1056.27 918.057,1058.84 897.555,1060.49 875.395,1061.09 851.511,1060.47 825.858,1058.43 798.417,1054.75 769.212,1049.17 \n",
       "  738.319,1041.41 705.878,1031.17 672.118,1018.12 637.367,1001.95 602.074,982.334 566.822,959.028 532.341,931.843 499.501,900.719 469.305,865.766 442.855,827.305 \n",
       "  421.293,785.913 405.739,742.441 397.185,698.003 396.409,653.935 403.872,611.707 419.659,572.812 443.438,538.62 474.48,510.253 511.717,488.479 553.845,473.649 \n",
       "  599.438,465.701 647.066,464.204 695.399,468.453 743.274,477.566 789.74,490.593 834.069,506.6 875.748,524.733 914.454,544.255 950.022,564.56 982.415,585.176 \n",
       "  1011.69,605.746 1037.98,626.016 1061.46,645.815 1082.33,665.034 1100.82,683.612 1117.14,701.522 1131.53,718.759 1144.19,735.335 1155.35,751.269 1165.18,766.588 \n",
       "  1173.87,781.318 1181.59,795.489 1188.48,809.126 1194.68,822.255 1200.32,834.9 1205.51,847.081 1210.35,858.819 1214.93,870.13 1219.34,881.028 1223.65,891.527 \n",
       "  1227.93,901.637 1232.26,911.366 1236.68,920.721 1241.26,929.707 1246.06,938.325 1251.12,946.576 1256.51,954.457 1262.28,961.964 1268.48,969.087 1275.18,975.817 \n",
       "  1282.43,982.139 1290.29,988.033 1298.83,993.477 1308.13,998.442 1318.25,1002.89 1329.27,1006.79 1341.28,1010.08 1354.36,1012.72 1368.61,1014.62 1384.12,1015.71 \n",
       "  1400.99,1015.89 1419.31,1015.07 1439.18,1013.11 1460.69,1009.87 1483.92,1005.19 1508.93,998.892 1535.76,990.778 1564.41,980.629 1594.84,968.218 1626.96,953.309 \n",
       "  1660.57,935.671 1695.41,915.091 1731.08,891.399 1767.06,864.488 1802.7,834.353 1837.16,801.125 1869.48,765.107 1898.58,726.812 1923.28,686.982 1942.41,646.595 \n",
       "  1954.85,606.832 1959.68,569.024 1956.24,534.548 1944.24,504.712 1923.81,480.619 1895.52,463.054 1860.3,452.398 1819.41,448.602 1774.29,451.22 1726.42,459.487 \n",
       "  1677.25,472.43 1628.04,488.99 1579.9,508.123 1533.66,528.886 1489.94,550.483 1449.16,572.287 1411.55,593.837 1377.18,614.821 1346.04,635.048 1318.01,654.423 \n",
       "  1292.94,672.919 1270.6,690.557 1250.79,707.384 1233.27,723.463 1217.81,738.864 1204.17,753.654 1192.15,767.896 1181.54,781.647 1172.14,794.954 1163.78,807.858 \n",
       "  1156.3,820.395 1149.56,832.59 1143.41,844.466 1137.74,856.041 1132.44,867.328 1127.4,878.338 1122.55,889.08 1117.78,899.558 1113.04,909.779 1108.24,919.745 \n",
       "  1103.32,929.458 1098.22,938.918 1092.87,948.126 1087.22,957.08 1081.21,965.776 1074.77,974.211 1067.85,982.376 1060.38,990.264 1052.3,997.861 1043.54,1005.15 \n",
       "  1034.03,1012.12 1023.7,1018.74 1012.46,1024.98 1000.25,1030.81 986.963,1036.17 972.524,1041.01 956.838,1045.27 939.814,1048.86 921.361,1051.69 901.394,1053.64 \n",
       "  879.832,1054.57 856.609,1054.33 831.677,1052.73 805.014,1049.56 776.635,1044.57 746.602,1037.51 715.042,1028.08 682.156,1015.97 648.244,1000.89 613.714,982.517 \n",
       "  579.103,960.605 545.081,934.96 512.46,905.497 482.179,872.282 455.277,835.578 432.852,795.879 415.991,753.939 405.688,710.768 402.752,667.595 407.718,625.811 \n",
       "  420.77,586.848 441.705,552.071 469.931,522.635 504.512,499.386 544.254,482.79 587.811,472.91 633.8,469.445 680.898,471.798 727.926,479.173 773.892,490.677 \n",
       "  818.017,505.401 859.732,522.495 898.658,541.209 934.579,560.914 967.414,581.106 997.183,601.398 1023.99,621.51 1047.97,641.243 1069.33,660.467 1088.27,679.104 \n",
       "  1105,697.112 1119.74,714.478 1132.71,731.204 1144.1,747.304 1154.11,762.801 1162.92,777.718 1170.69,792.083 1177.56,805.921 1183.69,819.256 1189.19,832.114 \n",
       "  1194.18,844.514 1198.75,856.478 1203.01,868.023 1207.02,879.165 1210.87,889.917 1214.62,900.294 1218.34,910.304 1222.08,919.958 1225.9,929.262 1229.85,938.222 \n",
       "  1233.98,946.842 1238.33,955.122 1242.97,963.064 1247.93,970.666 1253.26,977.921 1259.02,984.824 1265.25,991.365 1272.02,997.53 1279.39,1003.3 1287.41,1008.66 \n",
       "  1296.16,1013.58 1305.7,1018.03 1316.12,1021.97 1327.5,1025.36 1339.93,1028.15 1353.49,1030.26 1368.3,1031.63 1384.44,1032.17 1402.03,1031.78 1421.17,1030.33 \n",
       "  1441.96,1027.7 1464.5,1023.73 1488.88,1018.24 1515.16,1011.03 1543.39,1001.88 1573.56,990.561 1605.63,976.809 1639.47,960.367 1674.88,940.983 1711.55,918.427 \n",
       "  1749.01,892.517 1786.68,863.154 1823.8,830.356 1859.42,794.3 1892.47,755.371 1921.72,714.196 1945.88,671.66 1963.68,628.912 1973.94,587.312 1975.75,548.356 \n",
       "  1968.51,513.551 1952.09,484.268 1926.81,461.597 1893.48,446.22 1853.31,438.346 1807.77,437.706 1758.47,443.618 1707.04,455.097 1654.97,470.997 1603.54,490.135 \n",
       "  1553.79,511.408 1506.5,533.858 1462.2,556.717 1421.2,579.406 1383.66,601.527 1349.56,622.83 1318.83,643.184 1291.29,662.545 1266.73,680.929 1244.92,698.388 \n",
       "  1225.59,714.996 1208.5,730.832 1193.39,745.978 1180.02,760.509 1168.18,774.492 1157.64,787.985 1148.21,801.038 1139.71,813.691 1131.98,825.976 1124.87,837.919 \n",
       "  1118.24,849.541 1111.97,860.855 1105.95,871.874 1100.06,882.604 1094.22,893.052 1088.34,903.219 1082.34,913.106 1076.13,922.711 1069.65,932.032 1062.83,941.061 \n",
       "  1055.59,949.792 1047.86,958.213 1039.58,966.312 1030.67,974.071 1021.07,981.469 1010.69,988.481 999.473,995.074 987.333,1001.21 974.194,1006.84 959.975,1011.92 \n",
       "  944.597,1016.37 927.983,1020.11 910.056,1023.05 890.747,1025.09 869.997,1026.09 847.76,1025.9 824.01,1024.36 798.749,1021.28 772.012,1016.45 743.884,1009.62 \n",
       "  714.505,1000.57 684.084,989.029 652.917,974.752 621.393,957.509 590.005,937.108 559.361,913.428 530.175,886.442 503.258,856.258 479.497,823.146 459.807,787.568 \n",
       "  445.086,750.189 436.144,711.875 433.633,673.66 437.98,636.693 449.33,602.154 467.521,571.164 492.074,544.684 522.239,523.435 557.046,507.842 595.391,498.017 \n",
       "  636.121,493.778 678.114,494.695 720.344,500.165 761.925,509.479 802.137,521.898 840.429,536.708 876.407,553.257 909.825,570.981 940.553,589.413 968.558,608.18 \n",
       "  993.884,626.997 1016.63,645.653 1036.92,663.999 1054.94,681.934 1070.84,699.395 1084.8,716.346 1097.02,732.772 1107.65,748.672 1116.87,764.053 1124.84,778.928 \n",
       "  1131.69,793.315 1137.55,807.232 1142.56,820.699 1146.81,833.735 1150.4,846.359 1153.42,858.589 1155.94,870.444 1158.02,881.938 1159.74,893.088 1161.12,903.908 \n",
       "  1162.23,914.412 1163.09,924.612 1163.73,934.521 1164.19,944.15 1164.47,953.51 1164.61,962.611 1164.61,971.461 1164.49,980.071 1164.25,988.45 1163.91,996.604 \n",
       "  1163.45,1004.54 1162.89,1012.27 1162.23,1019.8 1161.46,1027.13 1160.59,1034.28 1159.59,1041.25 1158.48,1048.04 1157.23,1054.66 1155.85,1061.11 1154.31,1067.41 \n",
       "  1152.61,1073.56 1150.73,1079.56 1148.66,1085.41 1146.36,1091.13 1143.82,1096.72 1141.03,1102.18 1137.93,1107.51 1134.52,1112.73 1130.75,1117.82 1126.58,1122.8 \n",
       "  1121.98,1127.67 1116.89,1132.42 1111.26,1137.05 1105.04,1141.57 1098.16,1145.97 1090.54,1150.23 1082.12,1154.36 1072.79,1158.33 1062.48,1162.13 1051.06,1165.73 \n",
       "  1038.43,1169.09 1024.46,1172.17 1009.01,1174.91 991.942,1177.24 973.098,1179.07 952.313,1180.28 929.421,1180.73 904.252,1180.25 876.64,1178.61 846.434,1175.56 \n",
       "  813.508,1170.78 777.774,1163.88 739.209,1154.43 697.877,1141.92 653.962,1125.77 607.808,1105.35 559.965,1080.03 511.228,1049.18 462.679,1012.25 415.714,968.873 \n",
       "  372.034,918.979 333.61,862.895 302.57,801.484 281.046,736.218 270.949,669.187 273.727,603.007 290.127,540.595 320.038,484.854 362.442,438.306 415.517,402.758 \n",
       "  476.853,379.086 543.754,367.192 613.535,366.118 683.771,374.285 752.461,389.787 818.094,410.658 879.64,435.078 936.49,461.499 988.375,488.699 1035.28,515.776 \n",
       "  1077.38,542.111 1114.95,567.314 1148.34,591.169 1177.95,613.586 1204.16,634.557 1227.37,654.127 1247.96,672.368 1266.28,689.367 1282.67,705.211 1297.42,719.985 \n",
       "  1310.83,733.764 1323.13,746.614 1334.57,758.593 1345.35,769.745 1355.66,780.106 1365.65,789.703 1375.49,798.554 1385.3,806.671 1395.2,814.055 1405.31,820.702 \n",
       "  1415.7,826.604 1426.48,831.742 1437.71,836.096 1449.44,839.636 1461.75,842.331 1474.65,844.141 1488.2,845.025 1502.4,844.936 1517.26,843.825 1532.77,841.643 \n",
       "  1548.9,838.338 1565.6,833.862 1582.8,828.172 1600.41,821.232 1618.3,813.016 1636.33,803.517 1654.3,792.745 1672.01,780.739 1689.21,767.567 1705.63,753.332 \n",
       "  1720.97,738.178 1734.92,722.289 1747.16,705.895 1757.37,689.264 1765.27,672.698 1770.59,656.529 1773.11,641.098 1772.7,626.746 1769.28,613.799 1762.85,602.544 \n",
       "  1753.52,593.219 1741.47,585.998 1726.94,580.985 1710.27,578.209 1691.8,577.627 1671.94,579.134 1651.08,582.571 1629.62,587.741 1607.95,594.423 1586.4,602.385 \n",
       "  1565.27,611.398 1544.84,621.242 1525.31,631.718 1506.85,642.646 1489.6,653.874 1473.64,665.269 1459.02,676.726 1445.79,688.156 1433.95,699.49 1423.49,710.672 \n",
       "  1414.38,721.658 1406.59,732.413 1400.08,742.91 1394.8,753.125 1390.72,763.039 1387.78,772.633 1385.95,781.891 1385.18,790.794 1385.44,799.325 1386.7,807.465 \n",
       "  1388.93,815.193 1392.11,822.486 1396.23,829.32 1401.27,835.667 1407.23,841.496 1414.11,846.772 1421.9,851.46 1430.62,855.518 1440.26,858.9 1450.83,861.559 \n",
       "  1462.33,863.44 1474.77,864.486 1488.14,864.636 1502.43,863.826 1517.63,861.987 1533.7,859.05 1550.6,854.947 1568.26,849.61 1586.59,842.977 1605.49,834.994 \n",
       "  1624.8,825.62 1644.35,814.831 1663.93,802.628 1683.29,789.043 1702.13,774.143 1720.15,758.039 1736.99,740.891 1752.27,722.911 1765.63,704.365 1776.67,685.569 \n",
       "  1785.06,666.885 1790.48,648.704 1792.68,631.437 1791.5,615.49 1786.86,601.244 1778.8,589.033 1767.44,579.124 1753.04,571.703 1735.91,566.862 1716.45,564.602 \n",
       "  1695.1,564.839 1672.35,567.412 1648.66,572.103 1624.5,578.654 1600.28,586.788 1576.4,596.222 1553.17,606.686 1530.86,617.93 1509.7,629.732 1489.84,641.901 \n",
       "  1471.4,654.277 1454.45,666.729 1439.03,679.155 1425.14,691.473 1412.77,703.623 1401.89,715.559 1392.46,727.245 1384.42,738.658 1377.72,749.777 1372.29,760.587 \n",
       "  1368.08,771.075 1365.04,781.23 1363.11,791.04 1362.24,800.493 1362.4,809.575 1363.55,818.272 1365.65,826.567 1368.7,834.44 1372.67,841.87 1377.55,848.832 \n",
       "  1383.34,855.299 1390.05,861.239 1397.66,866.617 1406.21,871.394 1415.69,875.527 1426.13,878.967 1437.55,881.66 1449.95,883.548 1463.35,884.567 1477.76,884.647 \n",
       "  1493.19,883.712 1509.63,881.684 1527.06,878.48 1545.44,874.014 1564.71,868.202 1584.8,860.962 1605.59,852.22 1626.93,841.914 1648.63,830.001 1670.47,816.462 \n",
       "  1692.16,801.316 1713.38,784.622 1733.76,766.491 1752.87,747.096 1770.29,726.673 1785.55,705.531 1798.19,684.041 1807.77,662.638 1813.92,641.798 1816.33,622.022 \n",
       "  1814.77,603.813 1809.18,587.637 1799.58,573.902 1786.15,562.928 1769.2,554.924 1749.15,549.982 1726.48,548.076 1701.75,549.069 1675.54,552.731 1648.43,558.769 \n",
       "  1620.95,566.845 1593.59,576.606 1566.79,587.707 1540.9,599.822 1516.21,612.661 1492.94,625.975 1471.23,639.556 1451.19,653.237 1432.87,666.888 1416.27,680.412 \n",
       "  1401.39,693.736 1388.19,706.812 1376.59,719.604 1366.54,732.091 1357.97,744.258 1350.78,756.097 1344.92,767.602 1340.29,778.769 1336.83,789.594 1334.49,800.074 \n",
       "  1333.19,810.203 1332.9,819.974 1333.56,829.377 1335.14,838.402 1337.63,847.036 1340.99,855.261 1345.22,863.06 1350.31,870.411 1356.27,877.289 1363.11,883.664 \n",
       "  1370.83,889.504 1379.47,894.773 1389.04,899.427 1399.57,903.42 1411.1,906.697 1423.66,909.199 1437.28,910.86 1451.99,911.604 1467.82,911.35 1484.79,910.01 \n",
       "  1502.9,907.487 1522.15,903.679 1542.53,898.479 1563.97,891.777 1586.4,883.465 1609.71,873.441 1633.74,861.615 1658.28,847.915 1683.07,832.302 1707.77,814.776 \n",
       "  1732.01,795.39 1755.32,774.265 1777.2,751.597 1797.1,727.673 1814.44,702.872 1828.64,677.663 1839.14,652.598 1845.47,628.289 1847.24,605.381 1844.21,584.51 \n",
       "  1836.3,566.266 1823.61,551.142 1806.4,539.509 1785.12,531.576 1760.34,527.394 1732.72,526.85 1702.99,529.696 1671.88,535.572 1640.08,544.053 1608.24,554.677 \n",
       "  1576.92,566.986 1546.58,580.549 1517.6,594.981 1490.25,609.954 1464.72,625.2 1441.14,640.51 1419.56,655.724 1399.98,670.731 1382.38,685.454 1366.68,699.843 \n",
       "  1352.82,713.87 1340.68,727.524 1330.18,740.802 1321.19,753.707 1313.63,766.245 1307.38,778.425 1302.35,790.255 1298.45,801.739 1295.61,812.885 1293.75,823.694 \n",
       "  1292.81,834.167 1292.75,844.302 1293.51,854.098 1295.06,863.546 1297.38,872.64 1300.45,881.37 1304.27,889.723 1308.83,897.683 1314.14,905.233 1320.22,912.353 \n",
       "  1327.09,919.017 1334.77,925.197 1343.3,930.861 1352.72,935.971 1363.07,940.482 1374.41,944.347 1386.78,947.506 1400.25,949.896 1414.87,951.441 1430.7,952.059 \n",
       "  1447.79,951.653 1466.19,950.12 1485.95,947.342 1507.08,943.191 1529.59,937.529 1553.47,930.21 1578.67,921.082 1605.09,909.994 1632.58,896.8 1660.94,881.373 \n",
       "  1689.89,863.613 1719.06,843.462 1748,820.928 1776.17,796.098 1802.92,769.162 1827.56,740.432 1849.3,710.353 1867.35,679.51 1880.95,648.617 1889.41,618.495 \n",
       "  1892.15,590.028 1888.81,564.104 1879.24,541.553 1863.56,523.071 1842.14,509.164 1815.6,500.104 1784.74,495.912 1750.48,496.377 1713.83,501.084 1675.75,509.477 \n",
       "  1637.17,520.916 1598.9,534.737 1561.62,550.306 1525.87,567.051 1492.05,584.487 1460.45,602.221 1431.22,619.955 1404.45,637.472 1380.12,654.625 1358.2,671.324 \n",
       "  1338.58,687.523 1321.14,703.205 1305.74,718.374 1292.23,733.049 1280.46,747.254 1270.27,761.016 1261.52,774.363 1254.07,787.322 1247.8,799.915 1242.58,812.162 \n",
       "  1238.31,824.081 1234.9,835.685 1232.25,846.985 1230.3,857.99 1228.98,868.706 1228.24,879.139 1228.03,889.292 1228.32,899.167 1229.08,908.764 1230.28,918.085 \n",
       "  1231.91,927.128 1233.96,935.891 1236.44,944.373 1239.34,952.568 1242.68,960.473 1246.47,968.081 1250.73,975.385 1255.49,982.376 1260.77,989.042 1266.62,995.369 \n",
       "  1273.09,1001.34 1280.2,1006.94 1288.03,1012.14 1296.63,1016.92 1306.06,1021.23 1316.4,1025.05 1327.74,1028.32 1340.14,1030.99 1353.71,1033 1368.55,1034.26 \n",
       "  1384.74,1034.7 1402.4,1034.2 1421.63,1032.65 1442.54,1029.9 1465.22,1025.81 1489.75,1020.18 1516.22,1012.83 1544.64,1003.51 1575.04,992.006 1607.34,978.042 \n",
       "  1641.44,961.361 1677.12,941.704 1714.05,918.841 1751.77,892.589 1789.69,862.848 1827.01,829.64 1862.79,793.154 1895.93,753.786 1925.17,712.179 1949.22,669.247 \n",
       "  1966.78,626.16 1976.68,584.309 1977.99,545.214 1970.14,510.399 1953.02,481.244 1927,458.83 1892.91,443.821 1851.99,436.397 1805.77,436.252 1755.87,442.668 \n",
       "  1703.94,454.628 1651.46,470.96 1599.74,490.467 1549.78,512.037 1502.37,534.715 1458.01,557.737 1417.01,580.536 1379.49,602.721 1345.46,624.053 1314.8,644.41 \n",
       "  1287.34,663.756 1262.87,682.112 1241.13,699.535 1221.88,716.102 1204.85,731.895 1189.79,746.997 1176.46,761.483 1164.64,775.422 1154.11,788.871 1144.67,801.881 \n",
       "  1136.15,814.491 1128.38,826.732 1121.21,838.632 1114.51,850.208 1108.15,861.477 1102.01,872.447 1095.99,883.128 1090,893.522 1083.96,903.632 1077.76,913.458 \n",
       "  1071.35,922.997 1064.64,932.244 1057.56,941.193 1050.04,949.834 1042.01,958.156 1033.4,966.142 1024.14,973.775 1014.15,981.03 1003.36,987.878 991.703,994.284 \n",
       "  979.092,1000.21 965.452,1005.59 950.705,1010.38 934.773,1014.51 917.58,1017.87 899.058,1020.38 879.142,1021.92 857.782,1022.35 834.944,1021.52 810.618,1019.24 \n",
       "  784.824,1015.33 757.625,1009.55 729.131,1001.69 699.519,991.486 669.038,978.703 638.027,963.103 606.923,944.48 576.268,922.685 546.712,897.647 519.008,869.407 \n",
       "  493.988,838.155 472.538,804.251 455.549,768.249 443.859,730.904 438.187,693.147 439.063,656.053 446.77,620.765 461.299,588.414 482.339,560.026 509.287,536.428 \n",
       "  541.298,518.188 577.355,505.574 616.349,498.554 657.16,496.832 698.73,499.905 740.119,507.13 780.532,517.799 819.34,531.199 856.075,546.658 890.417,563.577 \n",
       "  922.176,581.449 951.268,599.858 977.695,618.479 1001.52,637.064 1022.86,655.433 1041.85,673.46 1058.66,691.062 1073.46,708.189 1086.42,724.813 1097.72,740.923 \n",
       "  1107.52,756.523 1115.99,771.619 1123.26,786.228 1129.47,800.364 1134.76,814.048 1139.22,827.296 1142.95,840.129 1146.05,852.564 1148.6,864.618 1150.66,876.308 \n",
       "  1152.28,887.65 1153.53,898.658 1154.45,909.347 1155.07,919.73 1155.42,929.818 1155.52,939.624 1155.41,949.159 1155.09,958.433 1154.58,967.456 1153.87,976.237 \n",
       "  1152.99,984.786 1151.92,993.111 1150.67,1001.22 1149.24,1009.12 1147.61,1016.82 1145.77,1024.32 1143.72,1031.64 1141.43,1038.77 1138.9,1045.73 1136.09,1052.52 \n",
       "  1132.98,1059.14 1129.56,1065.61 1125.78,1071.91 1121.61,1078.06 1117.02,1084.05 1111.96,1089.89 1106.38,1095.58 1100.22,1101.12 1093.44,1106.49 1085.97,1111.7 \n",
       "  1077.73,1116.74 1068.64,1121.58 1058.62,1126.21 1047.58,1130.61 1035.4,1134.74 1021.98,1138.56 1007.2,1142.02 990.929,1145.05 973.026,1147.58 953.35,1149.48 \n",
       "  931.754,1150.65 908.089,1150.91 882.212,1150.09 853.992,1147.94 823.32,1144.2 790.12,1138.53 754.369,1130.56 716.118,1119.85 675.519,1105.91 632.854,1088.21 \n",
       "  588.572,1066.2 543.326,1039.33 498.005,1007.12 453.757,969.219 411.993,925.495 374.362,876.123 342.679,821.697 318.814,763.299 304.522,702.533 301.256,641.48 \n",
       "  309.956,582.559 330.9,528.307 363.606,481.09 406.861,442.816 458.845,414.708 517.344,397.183 579.997,389.875 644.528,391.77 708.932,401.418 771.576,417.165 \n",
       "  831.241,437.358 887.104,460.492 938.684,485.299 985.777,510.776 1028.39,536.18 1066.67,560.997 1100.87,584.894 1131.31,607.682 1158.32,629.274 1182.25,649.65 \n",
       "  1203.47,668.835 1222.3,686.882 1239.06,703.853 1254.06,719.816 1267.58,734.836 1279.87,748.973 1291.15,762.282 1301.65,774.806 1311.56,786.585 1321.04,797.647 \n",
       "  1330.26,808.015 1339.36,817.705 1348.47,826.726 1357.7,835.078 1367.17,842.759 1376.96,849.758 1387.17,856.059 1397.89,861.638 1409.18,866.468 1421.11,870.514 \n",
       "  1433.75,873.733 1447.15,876.078 1461.35,877.495 1476.39,877.924 1492.29,877.298 1509.07,875.547 1526.72,872.596 1545.22,868.368 1564.52,862.786 1584.54,855.776 \n",
       "  1605.18,847.273 1626.29,837.222 1647.71,825.589 1669.2,812.362 1690.49,797.565 1711.27,781.263 1731.18,763.573 1749.81,744.666 1766.75,724.779 1781.56,704.213 \n",
       "  1793.78,683.332 1803.02,662.555 1808.91,642.344 1811.15,623.18 1809.55,605.542 1804.04,589.878 1794.64,576.576 1781.55,565.941 1765.04,558.175 1745.53,553.366 \n",
       "  1723.47,551.489 1699.42,552.417 1673.92,555.933 1647.52,561.759 1620.74,569.574 1594.07,579.043 1567.91,589.833 1542.63,601.632 1518.48,614.16 1495.7,627.174 \n",
       "  1474.44,640.471 1454.79,653.887 1436.82,667.292 1420.53,680.589 1405.91,693.704 1392.94,706.586 1381.55,719.198 1371.69,731.515 1363.28,743.521 1356.25,755.206 \n",
       "  1350.52,766.562 1346.03,777.582 1342.72,788.262 1340.51,798.596 1339.35,808.577 1339.2,818.196 1340.01,827.443 1341.76,836.306 1344.42,844.769 1347.96,852.816 \n",
       "  1352.39,860.426 1357.69,867.576 1363.87,874.239 1370.94,880.385 1378.91,885.979 1387.8,890.982 1397.64,895.35 1408.45,899.034 1420.27,901.978 1433.11,904.121 \n",
       "  1447.01,905.394 1462,905.72 1478.09,905.019 1495.29,903.201 1513.61,900.169 1533.02,895.825 1553.5,890.064 1574.97,882.783 1597.33,873.883 1620.47,863.272 \n",
       "  1644.18,850.876 1668.25,836.643 1692.39,820.558 1716.26,802.648 1739.44,782.999 1761.47,761.765 1781.86,739.178 1800.05,715.557 1815.49,691.308 1827.64,666.917 \n",
       "  1836,642.942 1840.16,619.982 1839.8,598.65 1834.78,579.535 1825.08,563.16 1810.87,549.946 1792.49,540.181 1770.4,534.002 1745.2,531.394 1717.54,532.196 \n",
       "  1688.12,536.129 1657.63,542.829 1626.71,551.875 1595.96,562.831 1565.88,575.269 1536.87,588.795 1509.28,603.06 1483.33,617.773 1459.18,632.694 1436.94,647.64 \n",
       "  1416.64,662.471 1398.29,677.089 1381.83,691.426 1367.2,705.44 1354.34,719.106 1343.13,732.413 1333.49,745.357 1325.32,757.94 1318.51,770.166 1312.98,782.041 \n",
       "  1308.63,793.569 1305.38,804.755 1303.18,815.6 1301.94,826.105 1301.62,836.267 1302.17,846.082 1303.55,855.545 1305.74,864.646 1308.72,873.375 1312.48,881.718 \n",
       "  1317.02,889.66 1322.33,897.181 1328.44,904.259 1335.36,910.87 1343.11,916.982 1351.73,922.562 1361.26,927.571 1371.73,931.964 1383.2,935.69 1395.71,938.689 \n",
       "  1409.31,940.896 1424.06,942.235 1440,942.622 1457.18,941.962 1475.65,940.151 1495.43,937.073 1516.53,932.603 1538.95,926.608 1562.66,918.95 1587.58,909.486 \n",
       "  1613.61,898.078 1640.57,884.597 1668.25,868.937 1696.33,851.023 1724.45,830.828 1752.14,808.39 1778.85,783.833 1803.96,757.38 1826.77,729.371 1846.55,700.274 \n",
       "  1862.57,670.681 1874.12,641.296 1880.59,612.91 1881.51,586.354 1876.6,562.445 1865.79,541.922 1849.26,525.389 1827.43,513.26 1800.91,505.731 1770.49,502.769 \n",
       "  1737.07,504.133 1701.55,509.408 1664.87,518.062 1627.86,529.494 1591.26,543.094 1555.68,558.282 1521.63,574.537 1489.46,591.422 1459.43,608.58 1431.67,625.742 \n",
       "  1406.25,642.708 \n",
       "  \"/>\n",
       "<path clip-path=\"url(#clip340)\" d=\"\n",
       "M1980.97 198.898 L2279.06 198.898 L2279.06 95.2176 L1980.97 95.2176  Z\n",
       "  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
       "<polyline clip-path=\"url(#clip340)\" style=\"stroke:#000000; stroke-linecap:butt; stroke-linejoin:round; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  1980.97,198.898 2279.06,198.898 2279.06,95.2176 1980.97,95.2176 1980.97,198.898 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip340)\" style=\"stroke:#009af9; stroke-linecap:butt; stroke-linejoin:round; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  2005.54,147.058 2152.93,147.058 \n",
       "  \"/>\n",
       "<path clip-path=\"url(#clip340)\" d=\"M2191.34 166.745 Q2189.53 171.375 2187.82 172.787 Q2186.11 174.199 2183.24 174.199 L2179.84 174.199 L2179.84 170.634 L2182.34 170.634 Q2184.09 170.634 2185.07 169.8 Q2186.04 168.967 2187.22 165.865 L2187.98 163.921 L2177.5 138.412 L2182.01 138.412 L2190.11 158.689 L2198.22 138.412 L2202.73 138.412 L2191.34 166.745 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip340)\" d=\"M2210.02 160.402 L2217.66 160.402 L2217.66 134.037 L2209.35 135.703 L2209.35 131.444 L2217.61 129.778 L2222.29 129.778 L2222.29 160.402 L2229.93 160.402 L2229.93 164.338 L2210.02 164.338 L2210.02 160.402 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /></svg>\n"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Plot trajectory\n",
    "plot(traj[:, 1], traj[:, 2], traj[:, 3])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "1cdab2f4-7410-44ef-8e13-00ff769cdb1d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure()"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Lyapunov exponents\n",
    "# First simulate 2 different but \"close\" trajectories\n",
    "# and look their difference\n",
    "# The initial slope of the d vs n plot (before the curve saturates) \n",
    "# is approximately the maximum Lyapunov exponent!\n",
    "tr1 = trajectory(ds, 100)\n",
    "\n",
    "u2 = get_state(ds) + (1e-9 * ones(dimension(ds))) # \"Nudge\" the initial values\n",
    "tr2 = trajectory(ds, 100, u2)\n",
    "\n",
    "# Plot \n",
    "fig = Figure()\n",
    "\n",
    "ax1 = Axis(fig[1,1]; ylabel = \"x\")\n",
    "lines!(ax1, tr1[:, 1])\n",
    "lines!(ax1, tr2[:, 1])\n",
    "hidexdecorations!(ax1; grid = false)\n",
    "\n",
    "ax2 = Axis(fig[2,1]; ylabel = \"d\", xlabel = \"n\", yscale = log)\n",
    "d = [norm(tr1[i] - tr2[i]) for i in 1:length(tr2)]\n",
    "lines!(ax2, d)\n",
    "fig"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "3ae9f525-c66b-4e9f-aabf-fa004839656f",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.8861386239528768, 0.0008260761249577322, -14.55354815065202]0.9046117670536139"
     ]
    }
   ],
   "source": [
    "## Lyapunov spectrum\n",
    "λλ = lyapunovspectrum(ds, 10000, Δt = 0.1)\n",
    "print(λλ)\n",
    "\n",
    "## Maximum Lyapunov exponent\n",
    "λ = lyapunov(ds, 10000.0, Δt = 10.0, Ttr = 100.0)\n",
    "print(λ)"
   ]
  }
 ],
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   "language": "julia",
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   "file_extension": ".jl",
   "mimetype": "application/julia",
   "name": "julia",
   "version": "1.7.2"
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