Least squares estimates.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 最小二乗法の信頼区間と予測区間\n",
    "\n",
    "黒木玄\n",
    "\n",
    "2020-06-11, 2020-10-26\n",
    "\n",
    "* [Jupyterノートブック版](https://nbviewer.jupyter.org/github/genkuroki/Statistics/blob/master/Least%20squares%20estimates.ipynb)\n",
    "* [PDF版](https://genkuroki.github.io/documents/Statistics/Least%20squares%20estimates.pdf)\n",
    "\n",
    "**以下の説明では直交射影が本質的な役割を果たす.**\n",
    "\n",
    "**最小二乗法は直交射影の言い換えに過ぎない.**\n",
    "\n",
    "$\n",
    "\\newcommand\\eps{\\varepsilon}\n",
    "\\newcommand\\R{{\\mathbb R}}\n",
    "\\newcommand\\Normal{\\operatorname{Normal}}\n",
    "\\newcommand\\Image{\\operatorname{Im}}\n",
    "\\newcommand\\T{{\\mathtt T}}\n",
    "\\newcommand\\x{{\\boldsymbol x}}\n",
    "\\newcommand\\E{{\\mathbb E}}\n",
    "\\newcommand\\tr{\\operatorname{tr}}\n",
    "$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 解説\n",
    "\n",
    "一次独立な函数系 $f_1,\\ldots,f_r$ による\n",
    "\n",
    "$$\n",
    "y = b_1 f_1(x) + \\cdots + b_r f_r(x) + \\eps(x), \\quad\n",
    "\\varepsilon(x) \\sim \\Normal(0, \\sigma)\n",
    "$$\n",
    "\n",
    "型のモデルによるフィッティングは以下のように実現される. ($\\eps(x)$ 達は互いに独立だと仮定する.)\n",
    "\n",
    "### データ\n",
    "\n",
    "$(x_i, y_i)$ ($i=1,\\ldots,n$) をデータとする."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 行列 $X$ と縦ベクトル $b$, $y$ の定義\n",
    "\n",
    "$n\\times r$ 行列 $X$ と $r$ 次元列(縦)ベクトル $b$ と $n$ 次元列ベクトル $y$ を以下のように定める:\n",
    "\n",
    "$$\n",
    "X = \\begin{bmatrix}\n",
    "f_1(x_1) & \\cdots & f_r(x_1) \\\\\n",
    "\\vdots   &        & \\vdots   \\\\\n",
    "f_1(x_n) & \\cdots & f_r(x_n) \\\\\n",
    "\\end{bmatrix}, \\quad\n",
    "b = \\begin{bmatrix}\n",
    "b_1 \\\\\n",
    "\\vdots \\\\\n",
    "b_r \\\\\n",
    "\\end{bmatrix}, \\quad\n",
    "y = \\begin{bmatrix}\n",
    "y_1 \\\\\n",
    "\\vdots \\\\\n",
    "y_n \\\\\n",
    "\\end{bmatrix}.\n",
    "$$\n",
    "\n",
    "$X$ 内の $r$ 本の列(縦)ベクトル達は一次独立であると仮定する. その仮定は $r\\times r$ 行列 $X^\\T X$ は可逆になることや, $X$ のランクが $r$ になることと同値である."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 直交射影\n",
    "\n",
    "$\\Image X = X\\R^r = \\{\\,Xb\\mid b\\in\\R^r\\,\\}$ への $y$ の直交射影を $\\hat{y}$ と書く:\n",
    "\n",
    "$$\n",
    "\\hat{y} = X\\hat{b}, \\quad \\hat{b} = (X^\\T X)^{-1}X^\\T y.\n",
    "$$\n",
    "\n",
    "$\\hat{y}$ は $y$ の直交射影なので $\\|y - Xb\\|^2$ を最小にする $b$ は $\\hat{b}$ になる. すなわち $\\hat{b}$ は最小二乗法の解になっている. ($\\|y - Xb\\|^2$ が最小化されている.)\n",
    "\n",
    "**証明:** $\\hat{y}$ を $y$ の $\\Image X$ への直交射影とすると, $\\hat{y}=X\\hat{b}$, $\\hat{b}\\in\\R^r$ と書くことができ, $X$ のすべての列と $y-\\hat{y}$ は直交し, $X^\\T(y-\\hat{y})=0$ すなわち $X^\\T y = X^\\T X\\hat{b}$ が成立している. $X^\\T X$ は可逆なので $\\hat{b} = = (X^\\T X)^{-1}X^\\T y$ が成立する. q.e.d.\n",
    "\n",
    "$\\hat{y} = X(X^\\T X)^{-1}X^\\T y$ は $y$ の直交射影なので, $X(X^\\T X)^{-1}X^\\T$ は二乗しても不変である(直交射影の結果を直交射影しても変化しない):\n",
    "\n",
    "$$\n",
    "(X(X^\\T X)^{-1}X^\\T)^2 = X(X^\\T X)^{-1}X^\\T.\n",
    "$$\n",
    "\n",
    "これより\n",
    "\n",
    "$$\n",
    "(E - X(X^\\T X)^{-1}X^\\T)^2 = E - X(X^\\T X)^{-1}X^\\T\n",
    "$$\n",
    "\n",
    "が成立することもわかる. ここで $E$ は $n\\times n$ の単位行列である."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**例:** $r=2$, $f_1(x)=1$, $f_2(x)=x$ の場合には\n",
    "\n",
    "$$\n",
    "X = \\begin{bmatrix}\n",
    "1 & x_1 \\\\\n",
    "\\vdots & \\vdots \\\\\n",
    "1 & x_n \\\\\n",
    "\\end{bmatrix}, \\quad\n",
    "X^\\T X = n\\begin{bmatrix}\n",
    "1 & \\bar{x} \\\\\n",
    "\\bar{x} & \\overline{x^2} \\\\\n",
    "\\end{bmatrix}, \\quad\n",
    "\\bar{x} = \\frac{1}{n}\\sum_{i=1}^n x_i, \\quad\n",
    "\\overline{x^2} = \\frac{1}{n}\\sum_{i=1}^n x_i^2.\n",
    "$$\n",
    "\n",
    "これは $y=a+bx+\\eps$ 型の線形回帰の場合である. $\\square$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 最小二乗法\n",
    "\n",
    "$\\hat{y}$ は $y$ の $\\Image X$ への直交射影なので, $y-\\hat{y}$ と $Xb - \\hat{y} \\in\\Image X$ は直交する. ゆえに\n",
    "\n",
    "$$\n",
    "\\|y - Xb\\|^2 = \\|(y - \\hat{y}) - (Xb - \\hat{y})\\|^2 = \n",
    "\\|y - \\hat{y}\\|^2 + \\|Xb - \\hat{y}\\|^2.\n",
    "$$\n",
    "\n",
    "そして, $\\hat{y}$ による $y$ の近似の二乗誤差は\n",
    "\n",
    "$$\n",
    "\\|y - \\hat{y}\\|^2 =\n",
    "\\|y - X(X^\\T X)^{-1}X^\\T y\\|^2 = \n",
    "\\|(E - X(X^\\T X)^{-1}X^\\T)y\\|^2 =\n",
    "y^\\T(E - X(X^\\T X)^{-1}X^\\T)y.\n",
    "$$\n",
    "\n",
    "実はこれを $n$ で割ったものが $\\sigma^2$ の最尤法による推定結果に一致することを示せる. ただし, それは不偏推定量ではない. $\\sigma^2$ の不偏推定量を得るためには $n-r$ で割らなければいけない.  $\\sigma^2$ の不偏推定量を\n",
    "\n",
    "$$\n",
    "\\hat{u}^2 = \\frac{1}{n-r}\\|y - \\hat{y}\\|^2, \\quad \\hat{u}>0\n",
    "$$\n",
    "\n",
    "と書くことにする."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**例:** $r=1$, $f_1(x)=1$ の場合は $x_i$ 達の情報は無用になり, $y_i$ 達のデータの正規分布によるフィッティングになる. この場合には $\\hat{y}$ の成分はすべて $y_i$ 達の平均\n",
    "\n",
    "$$\n",
    "\\bar{y} = \\frac{1}{n}\\sum_{j=1}^n y_j\n",
    "$$\n",
    "\n",
    "に等しくなるので,\n",
    "\n",
    "$$\n",
    "\\|y - \\hat{y}\\|^2 = \\sum_{i=1}^n (y_i - \\bar{y})^2\n",
    "$$\n",
    "\n",
    "となる.  分散の不偏推定量はこれを $n-1$ で割ることによって得られるのであった. この場合には $r=1$ なので $n-r=n-1$ になっていることに注意せよ.  $r=1$ でない場合にも $\\|y-\\hat{y}\\|^2$ を $n-r$ で割れば $\\sigma^2$ の不偏推定量が得られる.  $\\square$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### $\\sigma^2$ の不偏推定量の構成の詳細\n",
    "\n",
    "$y = Xb + \\eps$ における $\\eps$ の成分達 $\\eps_i = \\eps(x_i)$ ($i=1,\\ldots,n$) の分布が独立で, 各々の $\\eps_i$ は平均 $0$ と同一の分散 $\\sigma^2$ を持つと仮定する. このとき, \n",
    "\n",
    "$$\n",
    "\\hat{y} = X (X^\\T X)^{-1}X^\\T y\n",
    "$$\n",
    "\n",
    "なので, \n",
    "\n",
    "$$\n",
    "y - \\hat{y} = (E - X (X^\\T X)^{-1}X^\\T) y = \n",
    "(E - X (X^\\T X)^{-1}X^\\T)(Xb + \\eps) = (E - X (X^\\T X)^{-1}X^\\T)\\eps.\n",
    "$$\n",
    "\n",
    "ゆえに, $y - \\hat{y}$ の成分達の分散共分散行列は $X (X^\\T X)^{-1}X^\\T$ が $\\Image X$ ($r$ 次元)への直交射影変換の表現行列であることより, $E - X (X^\\T X)^{-1}X^\\T$ は $\\Image X$ の直交補空間($n-r$ 次元)への直交射影変換の表現行列になるので, \n",
    "\n",
    "$$\n",
    "\\begin{aligned}\n",
    "\\E[(y - \\hat{y})(y - \\hat{y})^\\T] &= \n",
    "\\E[(E - X (X^\\T X)^{-1}X^\\T)\\eps\\eps^\\T(E - X (X^\\T X)^{-1}X^\\T)] \n",
    "\\\\ & =\n",
    "(E - X (X^\\T X)^{-1}X^\\T)\\E[\\eps\\eps^\\T](E - X (X^\\T X)^{-1}X^\\T) \n",
    "\\\\ & =\n",
    "\\sigma^2(E - X (X^\\T X)^{-1}X^\\T).\n",
    "\\end{aligned}\n",
    "$$\n",
    "\n",
    "となることがわかる. ここで $\\E[\\ ]$ は確率変数にその期待値を与える汎函数である. ゆえに \n",
    "\n",
    "$$\n",
    "\\E[\\|y - \\hat{y}\\|^2] = \\tr\\E[(y - \\hat{y})(y - \\hat{y})^\\T] = (n-r)\\sigma^2.\n",
    "$$\n",
    "\n",
    "これより, \n",
    "\n",
    "$$\n",
    "\\hat{u}^2 = \\frac{1}{n-r}\\|y - \\hat{y}\\|^2, \\quad \\hat{u}>0\n",
    "$$\n",
    "\n",
    "が $\\sigma^2$ の不偏推定量になっていることがわかる. $\\square$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### データが正規分布に従うという仮定のもとでの結論\n",
    "\n",
    "https://twitter.com/genkuroki/status/1264548714590253056\n",
    "\n",
    "データ $(x_i, y_i)$ ($i=1,\\ldots,n$) が, 与えられた $f_j$ 達と $b_j$ 達と $x_i$ 達と $\\sigma>0$ を使って, \n",
    "\n",
    "$$\n",
    "y_i = b_1 f_1(x_i) + \\cdots + b_r f_r(x_i) + \\eps_i, \\quad \\eps_i\\sim\\Normal(0,\\sigma)\n",
    "$$\n",
    "\n",
    "によってランダムに生成されていると仮定する. $\\eps_i$ 達は独立な確率変数であるとする.\n",
    "\n",
    "このとき, 成分が $y_i$ の $n$ 次元列(縦)ベクトル $y$ は多変量正規分布に従う確率変数になり, $\\hat{b}=(X^\\T T)^{-1}X^\\T y$ と $\\hat{y}=X\\hat{b}$ も多変量正規分布に従う確率変数になる. \n",
    "\n",
    "ベクトル値の確率変数 $y - \\hat{y} = y - X\\hat{b}$ は平均が0で分散共分散行列がランク $n-r$ の $n\\times n$ 行列\n",
    "\n",
    "$$\n",
    "\\sigma^2(E - X(X^\\T X)^{-1}X^\\T)\n",
    "$$\n",
    "\n",
    "の多変量正規分布に従い, $\\hat{y}$ の各成分と $y-X\\hat{b}$ の各成分の共分散は0になる. (このことは前節の計算よりわかる.)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### サンプルを生成した未知の回帰曲線上の値の信頼区間\n",
    "\n",
    "$x_1,\\ldots,x_n$ の次の $x_*$ が与えられていると仮定し, \n",
    "\n",
    "$$\n",
    "f(x_*) = \\begin{bmatrix}\n",
    "f_1(x_*)\\\\\n",
    "\\vdots \\\\\n",
    "f_r(x_*) \\\\\n",
    "\\end{bmatrix}\n",
    "$$\n",
    "\n",
    "と $r$ 次元列(縦)ベクトル $f(x_*)$ を定める. \n",
    "\n",
    "以上の設定において,\n",
    "\n",
    "$$\n",
    "f(x_*)^\\T b - f(x_*)^\\T \\hat{b} =\n",
    "\\sum_{j=1}^r b_j f_j(x_{n+1}) - \\sum_{j=1}^r \\hat{b}_j f_j(x_{n+1})\n",
    "$$\n",
    "\n",
    "は期待値0分散 $\\sigma^2 f(x_*)^\\T(X^T X)^{-1}f(x_*)$ の正規分布に従うので、\n",
    "\n",
    "$$\n",
    "\\frac\n",
    "{f(x_*)^\\T b - f(x_*)^\\T \\hat{b}}\n",
    "{\\hat{u}\\sqrt{f(x_*)^\\T(X^\\T X)^{-1}f(x_*)}}\n",
    "$$\n",
    "\n",
    "は自由度 $n-r$ の $t$ 分布に従う.  \n",
    "\n",
    "ゆえに,サンプルの生成に使われた回帰曲線の $x_*$ における値\n",
    "\n",
    "$$\n",
    "f(x_*)^\\T b = b_1 f_1(x_*) + \\cdots + b_r f_r(x_*) \n",
    "$$\n",
    "\n",
    "の信頼度 $1-\\alpha$ の信頼区間を\n",
    "\n",
    "$$\n",
    "f(x_*)^\\T\\hat{b} - t_{n-r}(\\alpha/2) \\hat{u}\\sqrt{f(x_*)^\\T(X^\\T X)^{-1}f(x_*)}\n",
    "\\leqq\n",
    "f(x_*)^\\T b\n",
    "\\leqq\n",
    "f(x_*)^\\T\\hat{b} + t_{n-r}(\\alpha/2) \\hat{u}\\sqrt{f(x_*)^\\T(X^\\T X)^{-1}f(x_*)}\n",
    "$$\n",
    "\n",
    "と定義できる. ここで, 自由度 $n-r$ の $t$ 分布の累積分布函数を $F$ と書いたときの $F^{-1}(1-\\alpha/2)$ を $t_{n-r}(\\alpha/2)$ と書いた.\n",
    "\n",
    "多くの環境で累積分布函数の逆函数は `quantile` という名前の函数として実装されている."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 予測値の予測区間\n",
    "\n",
    "さらに, $\\eps_1,\\ldots,\\eps_n$ と独立な確率変数 $\\eps_*$ で平均0分散 $\\sigma^2$ に従うものを用意して,\n",
    "\n",
    "$$\n",
    "y_* = f(x_*)b + \\eps_* = b_1 f_1(x_*) + \\cdots + b_r f_r(x_*) + \\eps_*\n",
    "$$\n",
    "\n",
    "とおく.  このとき, \n",
    "\n",
    "$$\n",
    "\\frac\n",
    "{y_* - f(x_*)\\hat{b}}\n",
    "{\\hat{u}\\sqrt{1 + f(x_*)(X^T X)^{-1}f(x_*)^T}}\n",
    "$$\n",
    "\n",
    "は自由度 $n-r$ の $t$ 分布に従う.  前節の式と比較すると分母の平方根内部に $1$ が増えているが, その $1$ は $y_*$ を定義するときに用いた $\\eps_*$ から来ている.\n",
    "\n",
    "ゆえに, $x_*$ における予測値 $y_*$ の信頼度 $1-\\alpha$ の予測区間を\n",
    "\n",
    "$$\n",
    "f(x_*)\\hat{b} - t_{n-r}(\\alpha/2) \\hat{u}\\sqrt{1+f(x_*)(X^\\T X)^{-1}f(x_*)^\\T}\n",
    "\\leqq\n",
    "y_*\n",
    "\\leqq\n",
    "f(x_*)\\hat{b} + t_{n-r}(\\alpha/2) \\hat{u}\\sqrt{1+f(x_*)(X^\\T X)^{-1}f(x_*)^\\T}\n",
    "$$\n",
    "\n",
    "と定義できる."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 正規分布の仮定に注意せよ\n",
    "\n",
    "以上で説明した信頼区間と予測区間はデータの残差の分布が独立同分布な正規分布に従うという仮定のもとで構成されている.  ゆえに, 現実のデータの残差が独立同分布な正規分布に従っていないように見える場合には以上で定義した信頼区間と予測区間の使用は不適切になる.\n",
    "\n",
    "信頼区間や予測区間はモデルの設定に依存して決まる.  モデルが現実で妥当でなければそのモデルを使って計算した信頼区間や予測区間は信頼できないものになる."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "次のセルは以上を素直にプログラムに翻訳したものである."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "prediction_interval_functions (generic function with 1 method)"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "using LinearAlgebra, Distributions\n",
    "\n",
    "norm2(x) = dot(x, x)\n",
    "\n",
    "X_matrix(F, x) = hcat((f.(x) for f in F)...)\n",
    "\n",
    "function orthogonal_projection(X, y)\n",
    "    # b̂ = inv(X'X)*X'y\n",
    "    # b̂ = (X'X)\\X'y # is equivalent to b̂ = inv(X'X)*X'y\n",
    "    b̂ = X\\y # equivalent to b̂ = (X'X)\\X'y\n",
    "    ŷ = X*b̂\n",
    "    Ŝ² = norm2(y - ŷ)\n",
    "    b̂, ŷ, Ŝ² \n",
    "end\n",
    "\n",
    "function linear_regression(F, x, y)\n",
    "    X = X_matrix(F, x)\n",
    "    b̂, ŷ, Ŝ² = orthogonal_projection(X, y)\n",
    "    n, r = size(X)\n",
    "    û² = Ŝ²/(n - r)\n",
    "    return b̂, √û², X\n",
    "end\n",
    "\n",
    "function confidence_interval_functions(F, X, b̂, û; α=0.05)\n",
    "    n, r = size(X)\n",
    "    t = quantile(TDist(n-r), 1-α/2)\n",
    "    f(xstar) = (φ -> φ(xstar)).(F)\n",
    "    m(xstar) = f(xstar)'b̂\n",
    "    # d(xstar) = û*√(f(xstar)'/(X'X)*f(xstar))\n",
    "    # Modify X'X to √eps()*I + X'X in order to prevent Singular Exception.\n",
    "    d(xstar) = û*√(f(xstar)'/(√eps()*I + X'X)*f(xstar))\n",
    "    g₋(xstar) = m(xstar) - t*d(xstar)\n",
    "    g₊(xstar) = m(xstar) + t*d(xstar)\n",
    "    g₋, g₊\n",
    "end\n",
    "\n",
    "function prediction_interval_functions(F, X, b̂, û; α=0.05)\n",
    "    n, r = size(X)\n",
    "    t = quantile(TDist(n-r), 1-α/2)\n",
    "    f(xstar) = (φ -> φ(xstar)).(F)\n",
    "    m(xstar) = f(xstar)'b̂\n",
    "    # d(xstar) = û*√(1 + f(xstar)'/(X'X)*f(xstar))\n",
    "    # Modify X'X to √eps()*I + X'X in order to prevent Singular Exception.\n",
    "    d(xstar) = û*√(1 + f(xstar)'/(√eps()*I + X'X)*f(xstar))\n",
    "    h₋(xstar) = m(xstar) - t*d(xstar)\n",
    "    h₊(xstar) = m(xstar) + t*d(xstar)\n",
    "    h₋, h₊\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "plot_linear_regression (generic function with 1 method)"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "using Plots\n",
    "pyplot(fmt = :svg)\n",
    "\n",
    "using Random: seed!\n",
    "\n",
    "rd(x, d=3) = round(x; digits=d)\n",
    "\n",
    "reg_func(F, b) = (x -> (φ -> φ(x)).(F)'b)\n",
    "\n",
    "function plot_linear_regression(F, x, f_true;\n",
    "        n = length(x),\n",
    "        y = f_true.(x) + σ*randn(n),\n",
    "        α = 0.05, \n",
    "        b = nothing, \n",
    "        σ = nothing, \n",
    "        xs = nothing,\n",
    "        ylim = nothing\n",
    "    )\n",
    "    \n",
    "    b̂, û, X = linear_regression(F, x, y)\n",
    "    f_fit = reg_func(F, b̂)\n",
    "    g₋, g₊ = confidence_interval_functions(F, X, b̂, û, α=α)\n",
    "    h₋, h₊ = prediction_interval_functions(F, X, b̂, û, α=α)\n",
    "    \n",
    "    !isnothing(b) && @show b\n",
    "    !isnothing(σ) && @show σ\n",
    "    !isnothing(b) && !isnothing(σ) && println()\n",
    "    @show b̂\n",
    "    @show û\n",
    "    \n",
    "    isnothing(xs) && (xs = range(minimum(x), maximum(x), length=600))\n",
    "    P = plot()\n",
    "    isnothing(ylim) || plot!(ylim = ylim)\n",
    "    plot!(xs, f_fit.(xs); label=\"fitting curve\", color=:red, lw=2)\n",
    "    plot!(xs, g₋.(xs); color=:red, ls=:dot, label=\"$(100(1-α))% conf. int.\")\n",
    "    plot!(xs, g₊.(xs); color=:red, ls=:dot, label=\"\")\n",
    "    plot!(xs, h₋.(xs); color=:red, ls=:dash, label=\"$(100(1-α))% pred. int.\")\n",
    "    plot!(xs, h₊.(xs); color=:red, ls=:dash, label=\"\")\n",
    "    plot!(xs, f_true.(xs); label=\"true curve\", color=:blue, lw=1.4, alpha=0.85)\n",
    "    scatter!(x, y; label=\"sample\", color=:blue, msc=:blue, alpha=0.5)\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "b̂ = [1.0623231871378152, 0.5293426742494878]\n",
      "û = 0.543556130053012\n"
     ]
    },
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\r\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\r\n",
       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\r\n",
       "<!-- Created with matplotlib (https://matplotlib.org/) -->\r\n",
       "<svg height=\"288pt\" version=\"1.1\" viewBox=\"0 0 432 288\" width=\"432pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\r\n",
       " <defs>\r\n",
       "  <style type=\"text/css\">\r\n",
       "*{stroke-linecap:butt;stroke-linejoin:round;}\r\n",
       "  </style>\r\n",
       " </defs>\r\n",
       " <g id=\"figure_1\">\r\n",
       "  <g id=\"patch_1\">\r\n",
       "   <path d=\"M 0 288 \r\n",
       "L 432 288 \r\n",
       "L 432 0 \r\n",
       "L 0 0 \r\n",
       "z\r\n",
       "\" style=\"fill:#ffffff;\"/>\r\n",
       "  </g>\r\n",
       "  <g id=\"axes_1\">\r\n",
       "   <g id=\"patch_2\">\r\n",
       "    <path d=\"M 12.330896 273.025354 \r\n",
       "L 429.165354 273.025354 \r\n",
       "L 429.165354 2.834646 \r\n",
       "L 12.330896 2.834646 \r\n",
       "z\r\n",
       "\" style=\"fill:#ffffff;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"matplotlib.axis_1\">\r\n",
       "    <g id=\"xtick_1\">\r\n",
       "     <g id=\"line2d_1\">\r\n",
       "      <path clip-path=\"url(#p6fd32da760)\" d=\"M 56.898102 273.025354 \r\n",
       "L 56.898102 2.834646 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_2\">\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 0 0 \r\n",
       "L 0 -2.5 \r\n",
       "\" id=\"m1f7bfc1fb4\" style=\"stroke:#000000;stroke-width:0.5;\"/>\r\n",
       "      </defs>\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"56.898102\" xlink:href=\"#m1f7bfc1fb4\" y=\"273.025354\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_1\">\r\n",
       "      <!-- $\\mathregular{0.0}$ -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 31.78125 66.40625 \r\n",
       "Q 24.171875 66.40625 20.328125 58.90625 \r\n",
       "Q 16.5 51.421875 16.5 36.375 \r\n",
       "Q 16.5 21.390625 20.328125 13.890625 \r\n",
       "Q 24.171875 6.390625 31.78125 6.390625 \r\n",
       "Q 39.453125 6.390625 43.28125 13.890625 \r\n",
       "Q 47.125 21.390625 47.125 36.375 \r\n",
       "Q 47.125 51.421875 43.28125 58.90625 \r\n",
       "Q 39.453125 66.40625 31.78125 66.40625 \r\n",
       "z\r\n",
       "M 31.78125 74.21875 \r\n",
       "Q 44.046875 74.21875 50.515625 64.515625 \r\n",
       "Q 56.984375 54.828125 56.984375 36.375 \r\n",
       "Q 56.984375 17.96875 50.515625 8.265625 \r\n",
       "Q 44.046875 -1.421875 31.78125 -1.421875 \r\n",
       "Q 19.53125 -1.421875 13.0625 8.265625 \r\n",
       "Q 6.59375 17.96875 6.59375 36.375 \r\n",
       "Q 6.59375 54.828125 13.0625 64.515625 \r\n",
       "Q 19.53125 74.21875 31.78125 74.21875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-48\"/>\r\n",
       "       <path d=\"M 10.6875 12.40625 \r\n",
       "L 21 12.40625 \r\n",
       "L 21 0 \r\n",
       "L 10.6875 0 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-46\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(50.498102 282.604104)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\r\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "       <use transform=\"translate(95.410156 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_2\">\r\n",
       "     <g id=\"line2d_3\">\r\n",
       "      <path clip-path=\"url(#p6fd32da760)\" d=\"M 138.823113 273.025354 \r\n",
       "L 138.823113 2.834646 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_4\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"138.823113\" xlink:href=\"#m1f7bfc1fb4\" y=\"273.025354\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_2\">\r\n",
       "      <!-- $\\mathregular{2.5}$ -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 19.1875 8.296875 \r\n",
       "L 53.609375 8.296875 \r\n",
       "L 53.609375 0 \r\n",
       "L 7.328125 0 \r\n",
       "L 7.328125 8.296875 \r\n",
       "Q 12.9375 14.109375 22.625 23.890625 \r\n",
       "Q 32.328125 33.6875 34.8125 36.53125 \r\n",
       "Q 39.546875 41.84375 41.421875 45.53125 \r\n",
       "Q 43.3125 49.21875 43.3125 52.78125 \r\n",
       "Q 43.3125 58.59375 39.234375 62.25 \r\n",
       "Q 35.15625 65.921875 28.609375 65.921875 \r\n",
       "Q 23.96875 65.921875 18.8125 64.3125 \r\n",
       "Q 13.671875 62.703125 7.8125 59.421875 \r\n",
       "L 7.8125 69.390625 \r\n",
       "Q 13.765625 71.78125 18.9375 73 \r\n",
       "Q 24.125 74.21875 28.421875 74.21875 \r\n",
       "Q 39.75 74.21875 46.484375 68.546875 \r\n",
       "Q 53.21875 62.890625 53.21875 53.421875 \r\n",
       "Q 53.21875 48.921875 51.53125 44.890625 \r\n",
       "Q 49.859375 40.875 45.40625 35.40625 \r\n",
       "Q 44.1875 33.984375 37.640625 27.21875 \r\n",
       "Q 31.109375 20.453125 19.1875 8.296875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-50\"/>\r\n",
       "       <path d=\"M 10.796875 72.90625 \r\n",
       "L 49.515625 72.90625 \r\n",
       "L 49.515625 64.59375 \r\n",
       "L 19.828125 64.59375 \r\n",
       "L 19.828125 46.734375 \r\n",
       "Q 21.96875 47.46875 24.109375 47.828125 \r\n",
       "Q 26.265625 48.1875 28.421875 48.1875 \r\n",
       "Q 40.625 48.1875 47.75 41.5 \r\n",
       "Q 54.890625 34.8125 54.890625 23.390625 \r\n",
       "Q 54.890625 11.625 47.5625 5.09375 \r\n",
       "Q 40.234375 -1.421875 26.90625 -1.421875 \r\n",
       "Q 22.3125 -1.421875 17.546875 -0.640625 \r\n",
       "Q 12.796875 0.140625 7.71875 1.703125 \r\n",
       "L 7.71875 11.625 \r\n",
       "Q 12.109375 9.234375 16.796875 8.0625 \r\n",
       "Q 21.484375 6.890625 26.703125 6.890625 \r\n",
       "Q 35.15625 6.890625 40.078125 11.328125 \r\n",
       "Q 45.015625 15.765625 45.015625 23.390625 \r\n",
       "Q 45.015625 31 40.078125 35.4375 \r\n",
       "Q 35.15625 39.890625 26.703125 39.890625 \r\n",
       "Q 22.75 39.890625 18.8125 39.015625 \r\n",
       "Q 14.890625 38.140625 10.796875 36.28125 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-53\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(132.423113 282.604104)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-50\"/>\r\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "       <use transform=\"translate(95.410156 0.78125)\" xlink:href=\"#DejaVuSans-53\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_3\">\r\n",
       "     <g id=\"line2d_5\">\r\n",
       "      <path clip-path=\"url(#p6fd32da760)\" d=\"M 220.748125 273.025354 \r\n",
       "L 220.748125 2.834646 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_6\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"220.748125\" xlink:href=\"#m1f7bfc1fb4\" y=\"273.025354\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_3\">\r\n",
       "      <!-- $\\mathregular{5.0}$ -->\r\n",
       "      <g transform=\"translate(214.348125 282.604104)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-53\"/>\r\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "       <use transform=\"translate(95.410156 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_4\">\r\n",
       "     <g id=\"line2d_7\">\r\n",
       "      <path clip-path=\"url(#p6fd32da760)\" d=\"M 302.673137 273.025354 \r\n",
       "L 302.673137 2.834646 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_8\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"302.673137\" xlink:href=\"#m1f7bfc1fb4\" y=\"273.025354\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_4\">\r\n",
       "      <!-- $\\mathregular{7.5}$ -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 8.203125 72.90625 \r\n",
       "L 55.078125 72.90625 \r\n",
       "L 55.078125 68.703125 \r\n",
       "L 28.609375 0 \r\n",
       "L 18.3125 0 \r\n",
       "L 43.21875 64.59375 \r\n",
       "L 8.203125 64.59375 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-55\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(296.273137 282.604104)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.09375)\" xlink:href=\"#DejaVuSans-55\"/>\r\n",
       "       <use transform=\"translate(63.623047 0.09375)\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "       <use transform=\"translate(95.410156 0.09375)\" xlink:href=\"#DejaVuSans-53\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_5\">\r\n",
       "     <g id=\"line2d_9\">\r\n",
       "      <path clip-path=\"url(#p6fd32da760)\" d=\"M 384.598148 273.025354 \r\n",
       "L 384.598148 2.834646 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_10\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"384.598148\" xlink:href=\"#m1f7bfc1fb4\" y=\"273.025354\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_5\">\r\n",
       "      <!-- $\\mathregular{10.0}$ -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 12.40625 8.296875 \r\n",
       "L 28.515625 8.296875 \r\n",
       "L 28.515625 63.921875 \r\n",
       "L 10.984375 60.40625 \r\n",
       "L 10.984375 69.390625 \r\n",
       "L 28.421875 72.90625 \r\n",
       "L 38.28125 72.90625 \r\n",
       "L 38.28125 8.296875 \r\n",
       "L 54.390625 8.296875 \r\n",
       "L 54.390625 0 \r\n",
       "L 12.40625 0 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-49\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(375.678148 282.604104)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-49\"/>\r\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\r\n",
       "       <use transform=\"translate(127.246094 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "       <use transform=\"translate(159.033203 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "   </g>\r\n",
       "   <g id=\"matplotlib.axis_2\">\r\n",
       "    <g id=\"ytick_1\">\r\n",
       "     <g id=\"line2d_11\">\r\n",
       "      <path clip-path=\"url(#p6fd32da760)\" d=\"M 12.330896 246.085426 \r\n",
       "L 429.165354 246.085426 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_12\">\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 0 0 \r\n",
       "L 2.5 0 \r\n",
       "\" id=\"m2700a130dd\" style=\"stroke:#000000;stroke-width:0.5;\"/>\r\n",
       "      </defs>\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"12.330896\" xlink:href=\"#m2700a130dd\" y=\"246.085426\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_6\">\r\n",
       "      <!-- $\\mathregular{0}$ -->\r\n",
       "      <g transform=\"translate(3.710896 249.124801)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_2\">\r\n",
       "     <g id=\"line2d_13\">\r\n",
       "      <path clip-path=\"url(#p6fd32da760)\" d=\"M 12.330896 187.765469 \r\n",
       "L 429.165354 187.765469 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_14\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"12.330896\" xlink:href=\"#m2700a130dd\" y=\"187.765469\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_7\">\r\n",
       "      <!-- $\\mathregular{2}$ -->\r\n",
       "      <g transform=\"translate(3.710896 190.804844)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-50\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_3\">\r\n",
       "     <g id=\"line2d_15\">\r\n",
       "      <path clip-path=\"url(#p6fd32da760)\" d=\"M 12.330896 129.445512 \r\n",
       "L 429.165354 129.445512 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_16\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"12.330896\" xlink:href=\"#m2700a130dd\" y=\"129.445512\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_8\">\r\n",
       "      <!-- $\\mathregular{4}$ -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 37.796875 64.3125 \r\n",
       "L 12.890625 25.390625 \r\n",
       "L 37.796875 25.390625 \r\n",
       "z\r\n",
       "M 35.203125 72.90625 \r\n",
       "L 47.609375 72.90625 \r\n",
       "L 47.609375 25.390625 \r\n",
       "L 58.015625 25.390625 \r\n",
       "L 58.015625 17.1875 \r\n",
       "L 47.609375 17.1875 \r\n",
       "L 47.609375 0 \r\n",
       "L 37.796875 0 \r\n",
       "L 37.796875 17.1875 \r\n",
       "L 4.890625 17.1875 \r\n",
       "L 4.890625 26.703125 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-52\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(3.710896 132.484887)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.09375)\" xlink:href=\"#DejaVuSans-52\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_4\">\r\n",
       "     <g id=\"line2d_17\">\r\n",
       "      <path clip-path=\"url(#p6fd32da760)\" d=\"M 12.330896 71.125555 \r\n",
       "L 429.165354 71.125555 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_18\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"12.330896\" xlink:href=\"#m2700a130dd\" y=\"71.125555\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_9\">\r\n",
       "      <!-- $\\mathregular{6}$ -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 33.015625 40.375 \r\n",
       "Q 26.375 40.375 22.484375 35.828125 \r\n",
       "Q 18.609375 31.296875 18.609375 23.390625 \r\n",
       "Q 18.609375 15.53125 22.484375 10.953125 \r\n",
       "Q 26.375 6.390625 33.015625 6.390625 \r\n",
       "Q 39.65625 6.390625 43.53125 10.953125 \r\n",
       "Q 47.40625 15.53125 47.40625 23.390625 \r\n",
       "Q 47.40625 31.296875 43.53125 35.828125 \r\n",
       "Q 39.65625 40.375 33.015625 40.375 \r\n",
       "z\r\n",
       "M 52.59375 71.296875 \r\n",
       "L 52.59375 62.3125 \r\n",
       "Q 48.875 64.0625 45.09375 64.984375 \r\n",
       "Q 41.3125 65.921875 37.59375 65.921875 \r\n",
       "Q 27.828125 65.921875 22.671875 59.328125 \r\n",
       "Q 17.53125 52.734375 16.796875 39.40625 \r\n",
       "Q 19.671875 43.65625 24.015625 45.921875 \r\n",
       "Q 28.375 48.1875 33.59375 48.1875 \r\n",
       "Q 44.578125 48.1875 50.953125 41.515625 \r\n",
       "Q 57.328125 34.859375 57.328125 23.390625 \r\n",
       "Q 57.328125 12.15625 50.6875 5.359375 \r\n",
       "Q 44.046875 -1.421875 33.015625 -1.421875 \r\n",
       "Q 20.359375 -1.421875 13.671875 8.265625 \r\n",
       "Q 6.984375 17.96875 6.984375 36.375 \r\n",
       "Q 6.984375 53.65625 15.1875 63.9375 \r\n",
       "Q 23.390625 74.21875 37.203125 74.21875 \r\n",
       "Q 40.921875 74.21875 44.703125 73.484375 \r\n",
       "Q 48.484375 72.75 52.59375 71.296875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-54\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(3.710896 74.16493)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-54\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_5\">\r\n",
       "     <g id=\"line2d_19\">\r\n",
       "      <path clip-path=\"url(#p6fd32da760)\" d=\"M 12.330896 12.805598 \r\n",
       "L 429.165354 12.805598 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_20\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"12.330896\" xlink:href=\"#m2700a130dd\" y=\"12.805598\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_10\">\r\n",
       "      <!-- $\\mathregular{8}$ -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 31.78125 34.625 \r\n",
       "Q 24.75 34.625 20.71875 30.859375 \r\n",
       "Q 16.703125 27.09375 16.703125 20.515625 \r\n",
       "Q 16.703125 13.921875 20.71875 10.15625 \r\n",
       "Q 24.75 6.390625 31.78125 6.390625 \r\n",
       "Q 38.8125 6.390625 42.859375 10.171875 \r\n",
       "Q 46.921875 13.96875 46.921875 20.515625 \r\n",
       "Q 46.921875 27.09375 42.890625 30.859375 \r\n",
       "Q 38.875 34.625 31.78125 34.625 \r\n",
       "z\r\n",
       "M 21.921875 38.8125 \r\n",
       "Q 15.578125 40.375 12.03125 44.71875 \r\n",
       "Q 8.5 49.078125 8.5 55.328125 \r\n",
       "Q 8.5 64.0625 14.71875 69.140625 \r\n",
       "Q 20.953125 74.21875 31.78125 74.21875 \r\n",
       "Q 42.671875 74.21875 48.875 69.140625 \r\n",
       "Q 55.078125 64.0625 55.078125 55.328125 \r\n",
       "Q 55.078125 49.078125 51.53125 44.71875 \r\n",
       "Q 48 40.375 41.703125 38.8125 \r\n",
       "Q 48.828125 37.15625 52.796875 32.3125 \r\n",
       "Q 56.78125 27.484375 56.78125 20.515625 \r\n",
       "Q 56.78125 9.90625 50.3125 4.234375 \r\n",
       "Q 43.84375 -1.421875 31.78125 -1.421875 \r\n",
       "Q 19.734375 -1.421875 13.25 4.234375 \r\n",
       "Q 6.78125 9.90625 6.78125 20.515625 \r\n",
       "Q 6.78125 27.484375 10.78125 32.3125 \r\n",
       "Q 14.796875 37.15625 21.921875 38.8125 \r\n",
       "z\r\n",
       "M 18.3125 54.390625 \r\n",
       "Q 18.3125 48.734375 21.84375 45.5625 \r\n",
       "Q 25.390625 42.390625 31.78125 42.390625 \r\n",
       "Q 38.140625 42.390625 41.71875 45.5625 \r\n",
       "Q 45.3125 48.734375 45.3125 54.390625 \r\n",
       "Q 45.3125 60.0625 41.71875 63.234375 \r\n",
       "Q 38.140625 66.40625 31.78125 66.40625 \r\n",
       "Q 25.390625 66.40625 21.84375 63.234375 \r\n",
       "Q 18.3125 60.0625 18.3125 54.390625 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-56\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(3.710896 15.844973)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-56\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_21\">\r\n",
       "    <path clip-path=\"url(#p6fd32da760)\" d=\"M 24.128097 230.543726 \r\n",
       "L 417.368153 45.316274 \r\n",
       "L 417.368153 45.316274 \r\n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-width:2;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_22\">\r\n",
       "    <path clip-path=\"url(#p6fd32da760)\" d=\"M 24.128097 243.413399 \r\n",
       "L 84.247504 212.063923 \r\n",
       "L 125.641194 190.717869 \r\n",
       "L 156.19368 175.197685 \r\n",
       "L 181.818345 162.427734 \r\n",
       "L 203.500754 151.864963 \r\n",
       "L 224.197599 142.031066 \r\n",
       "L 244.894444 132.451193 \r\n",
       "L 266.576853 122.665044 \r\n",
       "L 291.215954 111.795465 \r\n",
       "L 320.782876 99.004727 \r\n",
       "L 358.23431 83.055264 \r\n",
       "L 409.48364 61.487427 \r\n",
       "L 417.368153 58.185947 \r\n",
       "L 417.368153 58.185947 \r\n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-dasharray:1,1.65;stroke-dashoffset:0;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_3\">\r\n",
       "    <path d=\"M 12.330896 273.025354 \r\n",
       "L 12.330896 2.834646 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_4\">\r\n",
       "    <path d=\"M 12.330896 273.025354 \r\n",
       "L 429.165354 273.025354 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_23\">\r\n",
       "    <path clip-path=\"url(#p6fd32da760)\" d=\"M 24.128097 217.674053 \r\n",
       "L 83.26194 192.804736 \r\n",
       "L 123.670066 175.585751 \r\n",
       "L 154.222552 162.340377 \r\n",
       "L 179.847217 150.991089 \r\n",
       "L 201.529626 141.150297 \r\n",
       "L 222.226471 131.510704 \r\n",
       "L 242.923316 121.616716 \r\n",
       "L 264.605725 110.998343 \r\n",
       "L 289.244826 98.675237 \r\n",
       "L 318.811748 83.627517 \r\n",
       "L 356.263182 64.307251 \r\n",
       "L 407.512512 37.603783 \r\n",
       "L 417.368153 32.446601 \r\n",
       "L 417.368153 32.446601 \r\n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-dasharray:1,1.65;stroke-dashoffset:0;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_24\">\r\n",
       "    <path clip-path=\"url(#p6fd32da760)\" d=\"M 24.128097 265.378447 \r\n",
       "L 76.362992 239.884114 \r\n",
       "L 126.626758 215.595922 \r\n",
       "L 175.904961 192.029483 \r\n",
       "L 224.197599 169.177905 \r\n",
       "L 272.490238 146.56973 \r\n",
       "L 321.76844 123.747883 \r\n",
       "L 372.032206 100.718474 \r\n",
       "L 417.368153 80.150995 \r\n",
       "L 417.368153 80.150995 \r\n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-dasharray:3.7,1.6;stroke-dashoffset:0;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_25\">\r\n",
       "    <path clip-path=\"url(#p6fd32da760)\" d=\"M 24.128097 195.709005 \r\n",
       "L 76.362992 171.995043 \r\n",
       "L 126.626758 148.931856 \r\n",
       "L 175.904961 126.075375 \r\n",
       "L 224.197599 103.43249 \r\n",
       "L 272.490238 80.546204 \r\n",
       "L 321.76844 56.94513 \r\n",
       "L 372.032206 32.623161 \r\n",
       "L 417.368153 10.481553 \r\n",
       "L 417.368153 10.481553 \r\n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-dasharray:3.7,1.6;stroke-dashoffset:0;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_26\">\r\n",
       "    <path clip-path=\"url(#p6fd32da760)\" d=\"M 24.128097 231.505437 \r\n",
       "L 417.368153 56.545566 \r\n",
       "L 417.368153 56.545566 \r\n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-opacity:0.85;stroke-width:1.4;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"PathCollection_1\">\r\n",
       "    <defs>\r\n",
       "     <path d=\"M 0 2 \r\n",
       "C 0.530406 2 1.03916 1.789267 1.414214 1.414214 \r\n",
       "C 1.789267 1.03916 2 0.530406 2 0 \r\n",
       "C 2 -0.530406 1.789267 -1.03916 1.414214 -1.414214 \r\n",
       "C 1.03916 -1.789267 0.530406 -2 0 -2 \r\n",
       "C -0.530406 -2 -1.03916 -1.789267 -1.414214 -1.414214 \r\n",
       "C -1.789267 -1.03916 -2 -0.530406 -2 0 \r\n",
       "C -2 0.530406 -1.789267 1.03916 -1.414214 1.414214 \r\n",
       "C -1.03916 1.789267 -0.530406 2 0 2 \r\n",
       "z\r\n",
       "\" id=\"mbec93cf971\" style=\"stroke:#0000ff;stroke-opacity:0.5;\"/>\r\n",
       "    </defs>\r\n",
       "    <g clip-path=\"url(#p6fd32da760)\">\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"56.898102\" xlink:href=\"#mbec93cf971\" y=\"208.929105\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"67.469071\" xlink:href=\"#mbec93cf971\" y=\"192.640112\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"78.04004\" xlink:href=\"#mbec93cf971\" y=\"198.545852\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"88.61101\" xlink:href=\"#mbec93cf971\" y=\"191.477295\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"99.181979\" xlink:href=\"#mbec93cf971\" y=\"199.433048\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"109.752948\" xlink:href=\"#mbec93cf971\" y=\"166.569725\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"120.323917\" xlink:href=\"#mbec93cf971\" y=\"177.349821\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"130.894887\" xlink:href=\"#mbec93cf971\" y=\"190.305208\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"141.465856\" xlink:href=\"#mbec93cf971\" y=\"172.60296\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"152.036825\" xlink:href=\"#mbec93cf971\" y=\"178.255423\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"162.607794\" xlink:href=\"#mbec93cf971\" y=\"203.144777\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"173.178763\" xlink:href=\"#mbec93cf971\" y=\"173.222913\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"183.749733\" xlink:href=\"#mbec93cf971\" y=\"149.226622\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"194.320702\" xlink:href=\"#mbec93cf971\" y=\"145.818719\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"204.891671\" xlink:href=\"#mbec93cf971\" y=\"140.309966\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"215.46264\" xlink:href=\"#mbec93cf971\" y=\"166.71891\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"226.03361\" xlink:href=\"#mbec93cf971\" y=\"126.996525\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"236.604579\" xlink:href=\"#mbec93cf971\" y=\"151.004205\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"247.175548\" xlink:href=\"#mbec93cf971\" y=\"138.583083\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"257.746517\" xlink:href=\"#mbec93cf971\" y=\"141.480161\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"268.317487\" xlink:href=\"#mbec93cf971\" y=\"112.866205\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"278.888456\" xlink:href=\"#mbec93cf971\" y=\"117.184856\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"289.459425\" xlink:href=\"#mbec93cf971\" y=\"81.721202\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"300.030394\" xlink:href=\"#mbec93cf971\" y=\"107.898638\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"310.601363\" xlink:href=\"#mbec93cf971\" y=\"94.57129\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"321.172333\" xlink:href=\"#mbec93cf971\" y=\"86.060987\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"331.743302\" xlink:href=\"#mbec93cf971\" y=\"70.839762\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"342.314271\" xlink:href=\"#mbec93cf971\" y=\"50.744634\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"352.88524\" xlink:href=\"#mbec93cf971\" y=\"102.149818\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"363.45621\" xlink:href=\"#mbec93cf971\" y=\"73.059219\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"374.027179\" xlink:href=\"#mbec93cf971\" y=\"51.534876\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"384.598148\" xlink:href=\"#mbec93cf971\" y=\"52.514085\"/>\r\n",
       "    </g>\r\n",
       "   </g>\r\n",
       "   <g id=\"legend_1\">\r\n",
       "    <g id=\"patch_5\">\r\n",
       "     <path d=\"M 16.330896 74.347146 \r\n",
       "L 115.909646 74.347146 \r\n",
       "L 115.909646 6.834646 \r\n",
       "L 16.330896 6.834646 \r\n",
       "z\r\n",
       "\" style=\"fill:#ffffff;stroke:#000000;stroke-linejoin:miter;\"/>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_27\">\r\n",
       "     <path d=\"M 22.730896 16.513396 \r\n",
       "L 38.730896 16.513396 \r\n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linejoin:miter;\"/>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_28\"/>\r\n",
       "    <g id=\"text_11\">\r\n",
       "     <!-- fitting curve -->\r\n",
       "     <defs>\r\n",
       "      <path d=\"M 37.109375 75.984375 \r\n",
       "L 37.109375 68.5 \r\n",
       "L 28.515625 68.5 \r\n",
       "Q 23.6875 68.5 21.796875 66.546875 \r\n",
       "Q 19.921875 64.59375 19.921875 59.515625 \r\n",
       "L 19.921875 54.6875 \r\n",
       "L 34.71875 54.6875 \r\n",
       "L 34.71875 47.703125 \r\n",
       "L 19.921875 47.703125 \r\n",
       "L 19.921875 0 \r\n",
       "L 10.890625 0 \r\n",
       "L 10.890625 47.703125 \r\n",
       "L 2.296875 47.703125 \r\n",
       "L 2.296875 54.6875 \r\n",
       "L 10.890625 54.6875 \r\n",
       "L 10.890625 58.5 \r\n",
       "Q 10.890625 67.625 15.140625 71.796875 \r\n",
       "Q 19.390625 75.984375 28.609375 75.984375 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-102\"/>\r\n",
       "      <path d=\"M 9.421875 54.6875 \r\n",
       "L 18.40625 54.6875 \r\n",
       "L 18.40625 0 \r\n",
       "L 9.421875 0 \r\n",
       "z\r\n",
       "M 9.421875 75.984375 \r\n",
       "L 18.40625 75.984375 \r\n",
       "L 18.40625 64.59375 \r\n",
       "L 9.421875 64.59375 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-105\"/>\r\n",
       "      <path d=\"M 18.3125 70.21875 \r\n",
       "L 18.3125 54.6875 \r\n",
       "L 36.8125 54.6875 \r\n",
       "L 36.8125 47.703125 \r\n",
       "L 18.3125 47.703125 \r\n",
       "L 18.3125 18.015625 \r\n",
       "Q 18.3125 11.328125 20.140625 9.421875 \r\n",
       "Q 21.96875 7.515625 27.59375 7.515625 \r\n",
       "L 36.8125 7.515625 \r\n",
       "L 36.8125 0 \r\n",
       "L 27.59375 0 \r\n",
       "Q 17.1875 0 13.234375 3.875 \r\n",
       "Q 9.28125 7.765625 9.28125 18.015625 \r\n",
       "L 9.28125 47.703125 \r\n",
       "L 2.6875 47.703125 \r\n",
       "L 2.6875 54.6875 \r\n",
       "L 9.28125 54.6875 \r\n",
       "L 9.28125 70.21875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-116\"/>\r\n",
       "      <path d=\"M 54.890625 33.015625 \r\n",
       "L 54.890625 0 \r\n",
       "L 45.90625 0 \r\n",
       "L 45.90625 32.71875 \r\n",
       "Q 45.90625 40.484375 42.875 44.328125 \r\n",
       "Q 39.84375 48.1875 33.796875 48.1875 \r\n",
       "Q 26.515625 48.1875 22.3125 43.546875 \r\n",
       "Q 18.109375 38.921875 18.109375 30.90625 \r\n",
       "L 18.109375 0 \r\n",
       "L 9.078125 0 \r\n",
       "L 9.078125 54.6875 \r\n",
       "L 18.109375 54.6875 \r\n",
       "L 18.109375 46.1875 \r\n",
       "Q 21.34375 51.125 25.703125 53.5625 \r\n",
       "Q 30.078125 56 35.796875 56 \r\n",
       "Q 45.21875 56 50.046875 50.171875 \r\n",
       "Q 54.890625 44.34375 54.890625 33.015625 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-110\"/>\r\n",
       "      <path d=\"M 45.40625 27.984375 \r\n",
       "Q 45.40625 37.75 41.375 43.109375 \r\n",
       "Q 37.359375 48.484375 30.078125 48.484375 \r\n",
       "Q 22.859375 48.484375 18.828125 43.109375 \r\n",
       "Q 14.796875 37.75 14.796875 27.984375 \r\n",
       "Q 14.796875 18.265625 18.828125 12.890625 \r\n",
       "Q 22.859375 7.515625 30.078125 7.515625 \r\n",
       "Q 37.359375 7.515625 41.375 12.890625 \r\n",
       "Q 45.40625 18.265625 45.40625 27.984375 \r\n",
       "z\r\n",
       "M 54.390625 6.78125 \r\n",
       "Q 54.390625 -7.171875 48.1875 -13.984375 \r\n",
       "Q 42 -20.796875 29.203125 -20.796875 \r\n",
       "Q 24.46875 -20.796875 20.265625 -20.09375 \r\n",
       "Q 16.0625 -19.390625 12.109375 -17.921875 \r\n",
       "L 12.109375 -9.1875 \r\n",
       "Q 16.0625 -11.328125 19.921875 -12.34375 \r\n",
       "Q 23.78125 -13.375 27.78125 -13.375 \r\n",
       "Q 36.625 -13.375 41.015625 -8.765625 \r\n",
       "Q 45.40625 -4.15625 45.40625 5.171875 \r\n",
       "L 45.40625 9.625 \r\n",
       "Q 42.625 4.78125 38.28125 2.390625 \r\n",
       "Q 33.9375 0 27.875 0 \r\n",
       "Q 17.828125 0 11.671875 7.65625 \r\n",
       "Q 5.515625 15.328125 5.515625 27.984375 \r\n",
       "Q 5.515625 40.671875 11.671875 48.328125 \r\n",
       "Q 17.828125 56 27.875 56 \r\n",
       "Q 33.9375 56 38.28125 53.609375 \r\n",
       "Q 42.625 51.21875 45.40625 46.390625 \r\n",
       "L 45.40625 54.6875 \r\n",
       "L 54.390625 54.6875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-103\"/>\r\n",
       "      <path id=\"DejaVuSans-32\"/>\r\n",
       "      <path d=\"M 48.78125 52.59375 \r\n",
       "L 48.78125 44.1875 \r\n",
       "Q 44.96875 46.296875 41.140625 47.34375 \r\n",
       "Q 37.3125 48.390625 33.40625 48.390625 \r\n",
       "Q 24.65625 48.390625 19.8125 42.84375 \r\n",
       "Q 14.984375 37.3125 14.984375 27.296875 \r\n",
       "Q 14.984375 17.28125 19.8125 11.734375 \r\n",
       "Q 24.65625 6.203125 33.40625 6.203125 \r\n",
       "Q 37.3125 6.203125 41.140625 7.25 \r\n",
       "Q 44.96875 8.296875 48.78125 10.40625 \r\n",
       "L 48.78125 2.09375 \r\n",
       "Q 45.015625 0.34375 40.984375 -0.53125 \r\n",
       "Q 36.96875 -1.421875 32.421875 -1.421875 \r\n",
       "Q 20.0625 -1.421875 12.78125 6.34375 \r\n",
       "Q 5.515625 14.109375 5.515625 27.296875 \r\n",
       "Q 5.515625 40.671875 12.859375 48.328125 \r\n",
       "Q 20.21875 56 33.015625 56 \r\n",
       "Q 37.15625 56 41.109375 55.140625 \r\n",
       "Q 45.0625 54.296875 48.78125 52.59375 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-99\"/>\r\n",
       "      <path d=\"M 8.5 21.578125 \r\n",
       "L 8.5 54.6875 \r\n",
       "L 17.484375 54.6875 \r\n",
       "L 17.484375 21.921875 \r\n",
       "Q 17.484375 14.15625 20.5 10.265625 \r\n",
       "Q 23.53125 6.390625 29.59375 6.390625 \r\n",
       "Q 36.859375 6.390625 41.078125 11.03125 \r\n",
       "Q 45.3125 15.671875 45.3125 23.6875 \r\n",
       "L 45.3125 54.6875 \r\n",
       "L 54.296875 54.6875 \r\n",
       "L 54.296875 0 \r\n",
       "L 45.3125 0 \r\n",
       "L 45.3125 8.40625 \r\n",
       "Q 42.046875 3.421875 37.71875 1 \r\n",
       "Q 33.40625 -1.421875 27.6875 -1.421875 \r\n",
       "Q 18.265625 -1.421875 13.375 4.4375 \r\n",
       "Q 8.5 10.296875 8.5 21.578125 \r\n",
       "z\r\n",
       "M 31.109375 56 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-117\"/>\r\n",
       "      <path d=\"M 41.109375 46.296875 \r\n",
       "Q 39.59375 47.171875 37.8125 47.578125 \r\n",
       "Q 36.03125 48 33.890625 48 \r\n",
       "Q 26.265625 48 22.1875 43.046875 \r\n",
       "Q 18.109375 38.09375 18.109375 28.8125 \r\n",
       "L 18.109375 0 \r\n",
       "L 9.078125 0 \r\n",
       "L 9.078125 54.6875 \r\n",
       "L 18.109375 54.6875 \r\n",
       "L 18.109375 46.1875 \r\n",
       "Q 20.953125 51.171875 25.484375 53.578125 \r\n",
       "Q 30.03125 56 36.53125 56 \r\n",
       "Q 37.453125 56 38.578125 55.875 \r\n",
       "Q 39.703125 55.765625 41.0625 55.515625 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-114\"/>\r\n",
       "      <path d=\"M 2.984375 54.6875 \r\n",
       "L 12.5 54.6875 \r\n",
       "L 29.59375 8.796875 \r\n",
       "L 46.6875 54.6875 \r\n",
       "L 56.203125 54.6875 \r\n",
       "L 35.6875 0 \r\n",
       "L 23.484375 0 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-118\"/>\r\n",
       "      <path d=\"M 56.203125 29.59375 \r\n",
       "L 56.203125 25.203125 \r\n",
       "L 14.890625 25.203125 \r\n",
       "Q 15.484375 15.921875 20.484375 11.0625 \r\n",
       "Q 25.484375 6.203125 34.421875 6.203125 \r\n",
       "Q 39.59375 6.203125 44.453125 7.46875 \r\n",
       "Q 49.3125 8.734375 54.109375 11.28125 \r\n",
       "L 54.109375 2.78125 \r\n",
       "Q 49.265625 0.734375 44.1875 -0.34375 \r\n",
       "Q 39.109375 -1.421875 33.890625 -1.421875 \r\n",
       "Q 20.796875 -1.421875 13.15625 6.1875 \r\n",
       "Q 5.515625 13.8125 5.515625 26.8125 \r\n",
       "Q 5.515625 40.234375 12.765625 48.109375 \r\n",
       "Q 20.015625 56 32.328125 56 \r\n",
       "Q 43.359375 56 49.78125 48.890625 \r\n",
       "Q 56.203125 41.796875 56.203125 29.59375 \r\n",
       "z\r\n",
       "M 47.21875 32.234375 \r\n",
       "Q 47.125 39.59375 43.09375 43.984375 \r\n",
       "Q 39.0625 48.390625 32.421875 48.390625 \r\n",
       "Q 24.90625 48.390625 20.390625 44.140625 \r\n",
       "Q 15.875 39.890625 15.1875 32.171875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-101\"/>\r\n",
       "     </defs>\r\n",
       "     <g transform=\"translate(45.130896 19.313396)scale(0.08 -0.08)\">\r\n",
       "      <use xlink:href=\"#DejaVuSans-102\"/>\r\n",
       "      <use x=\"35.205078\" xlink:href=\"#DejaVuSans-105\"/>\r\n",
       "      <use x=\"62.988281\" xlink:href=\"#DejaVuSans-116\"/>\r\n",
       "      <use x=\"102.197266\" xlink:href=\"#DejaVuSans-116\"/>\r\n",
       "      <use x=\"141.40625\" xlink:href=\"#DejaVuSans-105\"/>\r\n",
       "      <use x=\"169.189453\" xlink:href=\"#DejaVuSans-110\"/>\r\n",
       "      <use x=\"232.568359\" xlink:href=\"#DejaVuSans-103\"/>\r\n",
       "      <use x=\"296.044922\" xlink:href=\"#DejaVuSans-32\"/>\r\n",
       "      <use x=\"327.832031\" xlink:href=\"#DejaVuSans-99\"/>\r\n",
       "      <use x=\"382.8125\" xlink:href=\"#DejaVuSans-117\"/>\r\n",
       "      <use x=\"446.191406\" xlink:href=\"#DejaVuSans-114\"/>\r\n",
       "      <use x=\"487.304688\" xlink:href=\"#DejaVuSans-118\"/>\r\n",
       "      <use x=\"546.484375\" xlink:href=\"#DejaVuSans-101\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_29\">\r\n",
       "     <path d=\"M 22.730896 28.255896 \r\n",
       "L 38.730896 28.255896 \r\n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-dasharray:1,1.65;stroke-dashoffset:0;stroke-linejoin:miter;\"/>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_30\"/>\r\n",
       "    <g id=\"text_12\">\r\n",
       "     <!-- 95.0% conf. int. -->\r\n",
       "     <defs>\r\n",
       "      <path d=\"M 10.984375 1.515625 \r\n",
       "L 10.984375 10.5 \r\n",
       "Q 14.703125 8.734375 18.5 7.8125 \r\n",
       "Q 22.3125 6.890625 25.984375 6.890625 \r\n",
       "Q 35.75 6.890625 40.890625 13.453125 \r\n",
       "Q 46.046875 20.015625 46.78125 33.40625 \r\n",
       "Q 43.953125 29.203125 39.59375 26.953125 \r\n",
       "Q 35.25 24.703125 29.984375 24.703125 \r\n",
       "Q 19.046875 24.703125 12.671875 31.3125 \r\n",
       "Q 6.296875 37.9375 6.296875 49.421875 \r\n",
       "Q 6.296875 60.640625 12.9375 67.421875 \r\n",
       "Q 19.578125 74.21875 30.609375 74.21875 \r\n",
       "Q 43.265625 74.21875 49.921875 64.515625 \r\n",
       "Q 56.59375 54.828125 56.59375 36.375 \r\n",
       "Q 56.59375 19.140625 48.40625 8.859375 \r\n",
       "Q 40.234375 -1.421875 26.421875 -1.421875 \r\n",
       "Q 22.703125 -1.421875 18.890625 -0.6875 \r\n",
       "Q 15.09375 0.046875 10.984375 1.515625 \r\n",
       "z\r\n",
       "M 30.609375 32.421875 \r\n",
       "Q 37.25 32.421875 41.125 36.953125 \r\n",
       "Q 45.015625 41.5 45.015625 49.421875 \r\n",
       "Q 45.015625 57.28125 41.125 61.84375 \r\n",
       "Q 37.25 66.40625 30.609375 66.40625 \r\n",
       "Q 23.96875 66.40625 20.09375 61.84375 \r\n",
       "Q 16.21875 57.28125 16.21875 49.421875 \r\n",
       "Q 16.21875 41.5 20.09375 36.953125 \r\n",
       "Q 23.96875 32.421875 30.609375 32.421875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-57\"/>\r\n",
       "      <path d=\"M 72.703125 32.078125 \r\n",
       "Q 68.453125 32.078125 66.03125 28.46875 \r\n",
       "Q 63.625 24.859375 63.625 18.40625 \r\n",
       "Q 63.625 12.0625 66.03125 8.421875 \r\n",
       "Q 68.453125 4.78125 72.703125 4.78125 \r\n",
       "Q 76.859375 4.78125 79.265625 8.421875 \r\n",
       "Q 81.6875 12.0625 81.6875 18.40625 \r\n",
       "Q 81.6875 24.8125 79.265625 28.4375 \r\n",
       "Q 76.859375 32.078125 72.703125 32.078125 \r\n",
       "z\r\n",
       "M 72.703125 38.28125 \r\n",
       "Q 80.421875 38.28125 84.953125 32.90625 \r\n",
       "Q 89.5 27.546875 89.5 18.40625 \r\n",
       "Q 89.5 9.28125 84.9375 3.921875 \r\n",
       "Q 80.375 -1.421875 72.703125 -1.421875 \r\n",
       "Q 64.890625 -1.421875 60.34375 3.921875 \r\n",
       "Q 55.8125 9.28125 55.8125 18.40625 \r\n",
       "Q 55.8125 27.59375 60.375 32.9375 \r\n",
       "Q 64.9375 38.28125 72.703125 38.28125 \r\n",
       "z\r\n",
       "M 22.3125 68.015625 \r\n",
       "Q 18.109375 68.015625 15.6875 64.375 \r\n",
       "Q 13.28125 60.75 13.28125 54.390625 \r\n",
       "Q 13.28125 47.953125 15.671875 44.328125 \r\n",
       "Q 18.0625 40.71875 22.3125 40.71875 \r\n",
       "Q 26.5625 40.71875 28.96875 44.328125 \r\n",
       "Q 31.390625 47.953125 31.390625 54.390625 \r\n",
       "Q 31.390625 60.6875 28.953125 64.34375 \r\n",
       "Q 26.515625 68.015625 22.3125 68.015625 \r\n",
       "z\r\n",
       "M 66.40625 74.21875 \r\n",
       "L 74.21875 74.21875 \r\n",
       "L 28.609375 -1.421875 \r\n",
       "L 20.796875 -1.421875 \r\n",
       "z\r\n",
       "M 22.3125 74.21875 \r\n",
       "Q 30.03125 74.21875 34.609375 68.875 \r\n",
       "Q 39.203125 63.53125 39.203125 54.390625 \r\n",
       "Q 39.203125 45.171875 34.640625 39.84375 \r\n",
       "Q 30.078125 34.515625 22.3125 34.515625 \r\n",
       "Q 14.546875 34.515625 10.03125 39.859375 \r\n",
       "Q 5.515625 45.21875 5.515625 54.390625 \r\n",
       "Q 5.515625 63.484375 10.046875 68.84375 \r\n",
       "Q 14.59375 74.21875 22.3125 74.21875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-37\"/>\r\n",
       "      <path d=\"M 30.609375 48.390625 \r\n",
       "Q 23.390625 48.390625 19.1875 42.75 \r\n",
       "Q 14.984375 37.109375 14.984375 27.296875 \r\n",
       "Q 14.984375 17.484375 19.15625 11.84375 \r\n",
       "Q 23.34375 6.203125 30.609375 6.203125 \r\n",
       "Q 37.796875 6.203125 41.984375 11.859375 \r\n",
       "Q 46.1875 17.53125 46.1875 27.296875 \r\n",
       "Q 46.1875 37.015625 41.984375 42.703125 \r\n",
       "Q 37.796875 48.390625 30.609375 48.390625 \r\n",
       "z\r\n",
       "M 30.609375 56 \r\n",
       "Q 42.328125 56 49.015625 48.375 \r\n",
       "Q 55.71875 40.765625 55.71875 27.296875 \r\n",
       "Q 55.71875 13.875 49.015625 6.21875 \r\n",
       "Q 42.328125 -1.421875 30.609375 -1.421875 \r\n",
       "Q 18.84375 -1.421875 12.171875 6.21875 \r\n",
       "Q 5.515625 13.875 5.515625 27.296875 \r\n",
       "Q 5.515625 40.765625 12.171875 48.375 \r\n",
       "Q 18.84375 56 30.609375 56 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-111\"/>\r\n",
       "     </defs>\r\n",
       "     <g transform=\"translate(45.130896 31.055896)scale(0.08 -0.08)\">\r\n",
       "      <use xlink:href=\"#DejaVuSans-57\"/>\r\n",
       "      <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\r\n",
       "      <use x=\"127.246094\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "      <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\r\n",
       "      <use x=\"222.65625\" xlink:href=\"#DejaVuSans-37\"/>\r\n",
       "      <use x=\"317.675781\" xlink:href=\"#DejaVuSans-32\"/>\r\n",
       "      <use x=\"349.462891\" xlink:href=\"#DejaVuSans-99\"/>\r\n",
       "      <use x=\"404.443359\" xlink:href=\"#DejaVuSans-111\"/>\r\n",
       "      <use x=\"465.625\" xlink:href=\"#DejaVuSans-110\"/>\r\n",
       "      <use x=\"529.003906\" xlink:href=\"#DejaVuSans-102\"/>\r\n",
       "      <use x=\"564.099609\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "      <use x=\"595.886719\" xlink:href=\"#DejaVuSans-32\"/>\r\n",
       "      <use x=\"627.673828\" xlink:href=\"#DejaVuSans-105\"/>\r\n",
       "      <use x=\"655.457031\" xlink:href=\"#DejaVuSans-110\"/>\r\n",
       "      <use x=\"718.835938\" xlink:href=\"#DejaVuSans-116\"/>\r\n",
       "      <use x=\"758.044922\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_31\">\r\n",
       "     <path d=\"M 22.730896 39.998396 \r\n",
       "L 38.730896 39.998396 \r\n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-dasharray:3.7,1.6;stroke-dashoffset:0;stroke-linejoin:miter;\"/>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_32\"/>\r\n",
       "    <g id=\"text_13\">\r\n",
       "     <!-- 95.0% pred. int. -->\r\n",
       "     <defs>\r\n",
       "      <path d=\"M 18.109375 8.203125 \r\n",
       "L 18.109375 -20.796875 \r\n",
       "L 9.078125 -20.796875 \r\n",
       "L 9.078125 54.6875 \r\n",
       "L 18.109375 54.6875 \r\n",
       "L 18.109375 46.390625 \r\n",
       "Q 20.953125 51.265625 25.265625 53.625 \r\n",
       "Q 29.59375 56 35.59375 56 \r\n",
       "Q 45.5625 56 51.78125 48.09375 \r\n",
       "Q 58.015625 40.1875 58.015625 27.296875 \r\n",
       "Q 58.015625 14.40625 51.78125 6.484375 \r\n",
       "Q 45.5625 -1.421875 35.59375 -1.421875 \r\n",
       "Q 29.59375 -1.421875 25.265625 0.953125 \r\n",
       "Q 20.953125 3.328125 18.109375 8.203125 \r\n",
       "z\r\n",
       "M 48.6875 27.296875 \r\n",
       "Q 48.6875 37.203125 44.609375 42.84375 \r\n",
       "Q 40.53125 48.484375 33.40625 48.484375 \r\n",
       "Q 26.265625 48.484375 22.1875 42.84375 \r\n",
       "Q 18.109375 37.203125 18.109375 27.296875 \r\n",
       "Q 18.109375 17.390625 22.1875 11.75 \r\n",
       "Q 26.265625 6.109375 33.40625 6.109375 \r\n",
       "Q 40.53125 6.109375 44.609375 11.75 \r\n",
       "Q 48.6875 17.390625 48.6875 27.296875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-112\"/>\r\n",
       "      <path d=\"M 45.40625 46.390625 \r\n",
       "L 45.40625 75.984375 \r\n",
       "L 54.390625 75.984375 \r\n",
       "L 54.390625 0 \r\n",
       "L 45.40625 0 \r\n",
       "L 45.40625 8.203125 \r\n",
       "Q 42.578125 3.328125 38.25 0.953125 \r\n",
       "Q 33.9375 -1.421875 27.875 -1.421875 \r\n",
       "Q 17.96875 -1.421875 11.734375 6.484375 \r\n",
       "Q 5.515625 14.40625 5.515625 27.296875 \r\n",
       "Q 5.515625 40.1875 11.734375 48.09375 \r\n",
       "Q 17.96875 56 27.875 56 \r\n",
       "Q 33.9375 56 38.25 53.625 \r\n",
       "Q 42.578125 51.265625 45.40625 46.390625 \r\n",
       "z\r\n",
       "M 14.796875 27.296875 \r\n",
       "Q 14.796875 17.390625 18.875 11.75 \r\n",
       "Q 22.953125 6.109375 30.078125 6.109375 \r\n",
       "Q 37.203125 6.109375 41.296875 11.75 \r\n",
       "Q 45.40625 17.390625 45.40625 27.296875 \r\n",
       "Q 45.40625 37.203125 41.296875 42.84375 \r\n",
       "Q 37.203125 48.484375 30.078125 48.484375 \r\n",
       "Q 22.953125 48.484375 18.875 42.84375 \r\n",
       "Q 14.796875 37.203125 14.796875 27.296875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-100\"/>\r\n",
       "     </defs>\r\n",
       "     <g transform=\"translate(45.130896 42.798396)scale(0.08 -0.08)\">\r\n",
       "      <use xlink:href=\"#DejaVuSans-57\"/>\r\n",
       "      <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\r\n",
       "      <use x=\"127.246094\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "      <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\r\n",
       "      <use x=\"222.65625\" xlink:href=\"#DejaVuSans-37\"/>\r\n",
       "      <use x=\"317.675781\" xlink:href=\"#DejaVuSans-32\"/>\r\n",
       "      <use x=\"349.462891\" xlink:href=\"#DejaVuSans-112\"/>\r\n",
       "      <use x=\"412.939453\" xlink:href=\"#DejaVuSans-114\"/>\r\n",
       "      <use x=\"454.021484\" xlink:href=\"#DejaVuSans-101\"/>\r\n",
       "      <use x=\"515.544922\" xlink:href=\"#DejaVuSans-100\"/>\r\n",
       "      <use x=\"579.021484\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "      <use x=\"610.808594\" xlink:href=\"#DejaVuSans-32\"/>\r\n",
       "      <use x=\"642.595703\" xlink:href=\"#DejaVuSans-105\"/>\r\n",
       "      <use x=\"670.378906\" xlink:href=\"#DejaVuSans-110\"/>\r\n",
       "      <use x=\"733.757812\" xlink:href=\"#DejaVuSans-116\"/>\r\n",
       "      <use x=\"772.966797\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_33\">\r\n",
       "     <path d=\"M 22.730896 51.740896 \r\n",
       "L 38.730896 51.740896 \r\n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linejoin:miter;stroke-opacity:0.85;\"/>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_34\"/>\r\n",
       "    <g id=\"text_14\">\r\n",
       "     <!-- true curve -->\r\n",
       "     <g transform=\"translate(45.130896 54.540896)scale(0.08 -0.08)\">\r\n",
       "      <use xlink:href=\"#DejaVuSans-116\"/>\r\n",
       "      <use x=\"39.208984\" xlink:href=\"#DejaVuSans-114\"/>\r\n",
       "      <use x=\"80.322266\" xlink:href=\"#DejaVuSans-117\"/>\r\n",
       "      <use x=\"143.701172\" xlink:href=\"#DejaVuSans-101\"/>\r\n",
       "      <use x=\"205.224609\" xlink:href=\"#DejaVuSans-32\"/>\r\n",
       "      <use x=\"237.011719\" xlink:href=\"#DejaVuSans-99\"/>\r\n",
       "      <use x=\"291.992188\" xlink:href=\"#DejaVuSans-117\"/>\r\n",
       "      <use x=\"355.371094\" xlink:href=\"#DejaVuSans-114\"/>\r\n",
       "      <use x=\"396.484375\" xlink:href=\"#DejaVuSans-118\"/>\r\n",
       "      <use x=\"455.664062\" xlink:href=\"#DejaVuSans-101\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_35\">\r\n",
       "     <path d=\"M 22.730896 63.483396 \r\n",
       "L 38.730896 63.483396 \r\n",
       "\" style=\"fill:none;\"/>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_36\">\r\n",
       "     <defs>\r\n",
       "      <path d=\"M 0 3.2 \r\n",
       "C 0.84865 3.2 1.662656 2.862828 2.262742 2.262742 \r\n",
       "C 2.862828 1.662656 3.2 0.84865 3.2 0 \r\n",
       "C 3.2 -0.84865 2.862828 -1.662656 2.262742 -2.262742 \r\n",
       "C 1.662656 -2.862828 0.84865 -3.2 0 -3.2 \r\n",
       "C -0.84865 -3.2 -1.662656 -2.862828 -2.262742 -2.262742 \r\n",
       "C -2.862828 -1.662656 -3.2 -0.84865 -3.2 0 \r\n",
       "C -3.2 0.84865 -2.862828 1.662656 -2.262742 2.262742 \r\n",
       "C -1.662656 2.862828 -0.84865 3.2 0 3.2 \r\n",
       "z\r\n",
       "\" id=\"mcc5e429d0f\" style=\"stroke:#0000ff;stroke-opacity:0.5;stroke-width:1.6;\"/>\r\n",
       "     </defs>\r\n",
       "     <g>\r\n",
       "      <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;stroke-width:1.6;\" x=\"30.730896\" xlink:href=\"#mcc5e429d0f\" y=\"63.483396\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"text_15\">\r\n",
       "     <!-- sample -->\r\n",
       "     <defs>\r\n",
       "      <path d=\"M 44.28125 53.078125 \r\n",
       "L 44.28125 44.578125 \r\n",
       "Q 40.484375 46.53125 36.375 47.5 \r\n",
       "Q 32.28125 48.484375 27.875 48.484375 \r\n",
       "Q 21.1875 48.484375 17.84375 46.4375 \r\n",
       "Q 14.5 44.390625 14.5 40.28125 \r\n",
       "Q 14.5 37.15625 16.890625 35.375 \r\n",
       "Q 19.28125 33.59375 26.515625 31.984375 \r\n",
       "L 29.59375 31.296875 \r\n",
       "Q 39.15625 29.25 43.1875 25.515625 \r\n",
       "Q 47.21875 21.78125 47.21875 15.09375 \r\n",
       "Q 47.21875 7.46875 41.1875 3.015625 \r\n",
       "Q 35.15625 -1.421875 24.609375 -1.421875 \r\n",
       "Q 20.21875 -1.421875 15.453125 -0.5625 \r\n",
       "Q 10.6875 0.296875 5.421875 2 \r\n",
       "L 5.421875 11.28125 \r\n",
       "Q 10.40625 8.6875 15.234375 7.390625 \r\n",
       "Q 20.0625 6.109375 24.8125 6.109375 \r\n",
       "Q 31.15625 6.109375 34.5625 8.28125 \r\n",
       "Q 37.984375 10.453125 37.984375 14.40625 \r\n",
       "Q 37.984375 18.0625 35.515625 20.015625 \r\n",
       "Q 33.0625 21.96875 24.703125 23.78125 \r\n",
       "L 21.578125 24.515625 \r\n",
       "Q 13.234375 26.265625 9.515625 29.90625 \r\n",
       "Q 5.8125 33.546875 5.8125 39.890625 \r\n",
       "Q 5.8125 47.609375 11.28125 51.796875 \r\n",
       "Q 16.75 56 26.8125 56 \r\n",
       "Q 31.78125 56 36.171875 55.265625 \r\n",
       "Q 40.578125 54.546875 44.28125 53.078125 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-115\"/>\r\n",
       "      <path d=\"M 34.28125 27.484375 \r\n",
       "Q 23.390625 27.484375 19.1875 25 \r\n",
       "Q 14.984375 22.515625 14.984375 16.5 \r\n",
       "Q 14.984375 11.71875 18.140625 8.90625 \r\n",
       "Q 21.296875 6.109375 26.703125 6.109375 \r\n",
       "Q 34.1875 6.109375 38.703125 11.40625 \r\n",
       "Q 43.21875 16.703125 43.21875 25.484375 \r\n",
       "L 43.21875 27.484375 \r\n",
       "z\r\n",
       "M 52.203125 31.203125 \r\n",
       "L 52.203125 0 \r\n",
       "L 43.21875 0 \r\n",
       "L 43.21875 8.296875 \r\n",
       "Q 40.140625 3.328125 35.546875 0.953125 \r\n",
       "Q 30.953125 -1.421875 24.3125 -1.421875 \r\n",
       "Q 15.921875 -1.421875 10.953125 3.296875 \r\n",
       "Q 6 8.015625 6 15.921875 \r\n",
       "Q 6 25.140625 12.171875 29.828125 \r\n",
       "Q 18.359375 34.515625 30.609375 34.515625 \r\n",
       "L 43.21875 34.515625 \r\n",
       "L 43.21875 35.40625 \r\n",
       "Q 43.21875 41.609375 39.140625 45 \r\n",
       "Q 35.0625 48.390625 27.6875 48.390625 \r\n",
       "Q 23 48.390625 18.546875 47.265625 \r\n",
       "Q 14.109375 46.140625 10.015625 43.890625 \r\n",
       "L 10.015625 52.203125 \r\n",
       "Q 14.9375 54.109375 19.578125 55.046875 \r\n",
       "Q 24.21875 56 28.609375 56 \r\n",
       "Q 40.484375 56 46.34375 49.84375 \r\n",
       "Q 52.203125 43.703125 52.203125 31.203125 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-97\"/>\r\n",
       "      <path d=\"M 52 44.1875 \r\n",
       "Q 55.375 50.25 60.0625 53.125 \r\n",
       "Q 64.75 56 71.09375 56 \r\n",
       "Q 79.640625 56 84.28125 50.015625 \r\n",
       "Q 88.921875 44.046875 88.921875 33.015625 \r\n",
       "L 88.921875 0 \r\n",
       "L 79.890625 0 \r\n",
       "L 79.890625 32.71875 \r\n",
       "Q 79.890625 40.578125 77.09375 44.375 \r\n",
       "Q 74.3125 48.1875 68.609375 48.1875 \r\n",
       "Q 61.625 48.1875 57.5625 43.546875 \r\n",
       "Q 53.515625 38.921875 53.515625 30.90625 \r\n",
       "L 53.515625 0 \r\n",
       "L 44.484375 0 \r\n",
       "L 44.484375 32.71875 \r\n",
       "Q 44.484375 40.625 41.703125 44.40625 \r\n",
       "Q 38.921875 48.1875 33.109375 48.1875 \r\n",
       "Q 26.21875 48.1875 22.15625 43.53125 \r\n",
       "Q 18.109375 38.875 18.109375 30.90625 \r\n",
       "L 18.109375 0 \r\n",
       "L 9.078125 0 \r\n",
       "L 9.078125 54.6875 \r\n",
       "L 18.109375 54.6875 \r\n",
       "L 18.109375 46.1875 \r\n",
       "Q 21.1875 51.21875 25.484375 53.609375 \r\n",
       "Q 29.78125 56 35.6875 56 \r\n",
       "Q 41.65625 56 45.828125 52.96875 \r\n",
       "Q 50 49.953125 52 44.1875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-109\"/>\r\n",
       "      <path d=\"M 9.421875 75.984375 \r\n",
       "L 18.40625 75.984375 \r\n",
       "L 18.40625 0 \r\n",
       "L 9.421875 0 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-108\"/>\r\n",
       "     </defs>\r\n",
       "     <g transform=\"translate(45.130896 66.283396)scale(0.08 -0.08)\">\r\n",
       "      <use xlink:href=\"#DejaVuSans-115\"/>\r\n",
       "      <use x=\"52.099609\" xlink:href=\"#DejaVuSans-97\"/>\r\n",
       "      <use x=\"113.378906\" xlink:href=\"#DejaVuSans-109\"/>\r\n",
       "      <use x=\"210.791016\" xlink:href=\"#DejaVuSans-112\"/>\r\n",
       "      <use x=\"274.267578\" xlink:href=\"#DejaVuSans-108\"/>\r\n",
       "      <use x=\"302.050781\" xlink:href=\"#DejaVuSans-101\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "   </g>\r\n",
       "  </g>\r\n",
       " </g>\r\n",
       " <defs>\r\n",
       "  <clipPath id=\"p6fd32da760\">\r\n",
       "   <rect height=\"270.190709\" width=\"416.834459\" x=\"12.330896\" y=\"2.834646\"/>\r\n",
       "  </clipPath>\r\n",
       " </defs>\r\n",
       "</svg>\r\n"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "n = 2^5\n",
    "x = range(0, 10, length=n)\n",
    "F = [one, identity]\n",
    "b = [1, 0.5]\n",
    "σ = 0.5\n",
    "f_true = reg_func(F, b)\n",
    "\n",
    "seed!(4649)\n",
    "plot_linear_regression(F, x, f_true; xs=range(-1, 11; length=400))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "b = [5.0, -2.0, 0.2]\n",
      "σ = 0.5\n",
      "\n",
      "b̂ = [5.486856844970879, -2.233868193607013, 0.22632108678565008]\n",
      "û = 0.5075974138073638\n"
     ]
    },
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\r\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\r\n",
       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\r\n",
       "<!-- Created with matplotlib (https://matplotlib.org/) -->\r\n",
       "<svg height=\"288pt\" version=\"1.1\" viewBox=\"0 0 432 288\" width=\"432pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\r\n",
       " <defs>\r\n",
       "  <style type=\"text/css\">\r\n",
       "*{stroke-linecap:butt;stroke-linejoin:round;}\r\n",
       "  </style>\r\n",
       " </defs>\r\n",
       " <g id=\"figure_1\">\r\n",
       "  <g id=\"patch_1\">\r\n",
       "   <path d=\"M 0 288 \r\n",
       "L 432 288 \r\n",
       "L 432 0 \r\n",
       "L 0 0 \r\n",
       "z\r\n",
       "\" style=\"fill:#ffffff;\"/>\r\n",
       "  </g>\r\n",
       "  <g id=\"axes_1\">\r\n",
       "   <g id=\"patch_2\">\r\n",
       "    <path d=\"M 18.775399 273.025354 \r\n",
       "L 429.165354 273.025354 \r\n",
       "L 429.165354 6.434646 \r\n",
       "L 18.775399 6.434646 \r\n",
       "z\r\n",
       "\" style=\"fill:#ffffff;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"matplotlib.axis_1\">\r\n",
       "    <g id=\"xtick_1\">\r\n",
       "     <g id=\"line2d_1\">\r\n",
       "      <path clip-path=\"url(#pc8c3777f46)\" d=\"M 47.988406 273.025354 \r\n",
       "L 47.988406 6.434646 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_2\">\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 0 0 \r\n",
       "L 0 -2.5 \r\n",
       "\" id=\"m956c53ae20\" style=\"stroke:#000000;stroke-width:0.5;\"/>\r\n",
       "      </defs>\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"47.988406\" xlink:href=\"#m956c53ae20\" y=\"273.025354\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_1\">\r\n",
       "      <!-- $\\mathregular{0.0}$ -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 31.78125 66.40625 \r\n",
       "Q 24.171875 66.40625 20.328125 58.90625 \r\n",
       "Q 16.5 51.421875 16.5 36.375 \r\n",
       "Q 16.5 21.390625 20.328125 13.890625 \r\n",
       "Q 24.171875 6.390625 31.78125 6.390625 \r\n",
       "Q 39.453125 6.390625 43.28125 13.890625 \r\n",
       "Q 47.125 21.390625 47.125 36.375 \r\n",
       "Q 47.125 51.421875 43.28125 58.90625 \r\n",
       "Q 39.453125 66.40625 31.78125 66.40625 \r\n",
       "z\r\n",
       "M 31.78125 74.21875 \r\n",
       "Q 44.046875 74.21875 50.515625 64.515625 \r\n",
       "Q 56.984375 54.828125 56.984375 36.375 \r\n",
       "Q 56.984375 17.96875 50.515625 8.265625 \r\n",
       "Q 44.046875 -1.421875 31.78125 -1.421875 \r\n",
       "Q 19.53125 -1.421875 13.0625 8.265625 \r\n",
       "Q 6.59375 17.96875 6.59375 36.375 \r\n",
       "Q 6.59375 54.828125 13.0625 64.515625 \r\n",
       "Q 19.53125 74.21875 31.78125 74.21875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-48\"/>\r\n",
       "       <path d=\"M 10.6875 12.40625 \r\n",
       "L 21 12.40625 \r\n",
       "L 21 0 \r\n",
       "L 10.6875 0 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-46\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(41.588406 282.604104)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\r\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "       <use transform=\"translate(95.410156 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_2\">\r\n",
       "     <g id=\"line2d_3\">\r\n",
       "      <path clip-path=\"url(#pc8c3777f46)\" d=\"M 135.979391 273.025354 \r\n",
       "L 135.979391 6.434646 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_4\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"135.979391\" xlink:href=\"#m956c53ae20\" y=\"273.025354\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_2\">\r\n",
       "      <!-- $\\mathregular{2.5}$ -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 19.1875 8.296875 \r\n",
       "L 53.609375 8.296875 \r\n",
       "L 53.609375 0 \r\n",
       "L 7.328125 0 \r\n",
       "L 7.328125 8.296875 \r\n",
       "Q 12.9375 14.109375 22.625 23.890625 \r\n",
       "Q 32.328125 33.6875 34.8125 36.53125 \r\n",
       "Q 39.546875 41.84375 41.421875 45.53125 \r\n",
       "Q 43.3125 49.21875 43.3125 52.78125 \r\n",
       "Q 43.3125 58.59375 39.234375 62.25 \r\n",
       "Q 35.15625 65.921875 28.609375 65.921875 \r\n",
       "Q 23.96875 65.921875 18.8125 64.3125 \r\n",
       "Q 13.671875 62.703125 7.8125 59.421875 \r\n",
       "L 7.8125 69.390625 \r\n",
       "Q 13.765625 71.78125 18.9375 73 \r\n",
       "Q 24.125 74.21875 28.421875 74.21875 \r\n",
       "Q 39.75 74.21875 46.484375 68.546875 \r\n",
       "Q 53.21875 62.890625 53.21875 53.421875 \r\n",
       "Q 53.21875 48.921875 51.53125 44.890625 \r\n",
       "Q 49.859375 40.875 45.40625 35.40625 \r\n",
       "Q 44.1875 33.984375 37.640625 27.21875 \r\n",
       "Q 31.109375 20.453125 19.1875 8.296875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-50\"/>\r\n",
       "       <path d=\"M 10.796875 72.90625 \r\n",
       "L 49.515625 72.90625 \r\n",
       "L 49.515625 64.59375 \r\n",
       "L 19.828125 64.59375 \r\n",
       "L 19.828125 46.734375 \r\n",
       "Q 21.96875 47.46875 24.109375 47.828125 \r\n",
       "Q 26.265625 48.1875 28.421875 48.1875 \r\n",
       "Q 40.625 48.1875 47.75 41.5 \r\n",
       "Q 54.890625 34.8125 54.890625 23.390625 \r\n",
       "Q 54.890625 11.625 47.5625 5.09375 \r\n",
       "Q 40.234375 -1.421875 26.90625 -1.421875 \r\n",
       "Q 22.3125 -1.421875 17.546875 -0.640625 \r\n",
       "Q 12.796875 0.140625 7.71875 1.703125 \r\n",
       "L 7.71875 11.625 \r\n",
       "Q 12.109375 9.234375 16.796875 8.0625 \r\n",
       "Q 21.484375 6.890625 26.703125 6.890625 \r\n",
       "Q 35.15625 6.890625 40.078125 11.328125 \r\n",
       "Q 45.015625 15.765625 45.015625 23.390625 \r\n",
       "Q 45.015625 31 40.078125 35.4375 \r\n",
       "Q 35.15625 39.890625 26.703125 39.890625 \r\n",
       "Q 22.75 39.890625 18.8125 39.015625 \r\n",
       "Q 14.890625 38.140625 10.796875 36.28125 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-53\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(129.579391 282.604104)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-50\"/>\r\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "       <use transform=\"translate(95.410156 0.78125)\" xlink:href=\"#DejaVuSans-53\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_3\">\r\n",
       "     <g id=\"line2d_5\">\r\n",
       "      <path clip-path=\"url(#pc8c3777f46)\" d=\"M 223.970377 273.025354 \r\n",
       "L 223.970377 6.434646 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_6\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"223.970377\" xlink:href=\"#m956c53ae20\" y=\"273.025354\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_3\">\r\n",
       "      <!-- $\\mathregular{5.0}$ -->\r\n",
       "      <g transform=\"translate(217.570377 282.604104)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-53\"/>\r\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "       <use transform=\"translate(95.410156 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_4\">\r\n",
       "     <g id=\"line2d_7\">\r\n",
       "      <path clip-path=\"url(#pc8c3777f46)\" d=\"M 311.961362 273.025354 \r\n",
       "L 311.961362 6.434646 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_8\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"311.961362\" xlink:href=\"#m956c53ae20\" y=\"273.025354\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_4\">\r\n",
       "      <!-- $\\mathregular{7.5}$ -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 8.203125 72.90625 \r\n",
       "L 55.078125 72.90625 \r\n",
       "L 55.078125 68.703125 \r\n",
       "L 28.609375 0 \r\n",
       "L 18.3125 0 \r\n",
       "L 43.21875 64.59375 \r\n",
       "L 8.203125 64.59375 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-55\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(305.561362 282.604104)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.09375)\" xlink:href=\"#DejaVuSans-55\"/>\r\n",
       "       <use transform=\"translate(63.623047 0.09375)\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "       <use transform=\"translate(95.410156 0.09375)\" xlink:href=\"#DejaVuSans-53\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_5\">\r\n",
       "     <g id=\"line2d_9\">\r\n",
       "      <path clip-path=\"url(#pc8c3777f46)\" d=\"M 399.952347 273.025354 \r\n",
       "L 399.952347 6.434646 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_10\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"399.952347\" xlink:href=\"#m956c53ae20\" y=\"273.025354\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_5\">\r\n",
       "      <!-- $\\mathregular{10.0}$ -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 12.40625 8.296875 \r\n",
       "L 28.515625 8.296875 \r\n",
       "L 28.515625 63.921875 \r\n",
       "L 10.984375 60.40625 \r\n",
       "L 10.984375 69.390625 \r\n",
       "L 28.421875 72.90625 \r\n",
       "L 38.28125 72.90625 \r\n",
       "L 38.28125 8.296875 \r\n",
       "L 54.390625 8.296875 \r\n",
       "L 54.390625 0 \r\n",
       "L 12.40625 0 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-49\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(391.032347 282.604104)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-49\"/>\r\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\r\n",
       "       <use transform=\"translate(127.246094 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "       <use transform=\"translate(159.033203 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "   </g>\r\n",
       "   <g id=\"matplotlib.axis_2\">\r\n",
       "    <g id=\"ytick_1\">\r\n",
       "     <g id=\"line2d_11\">\r\n",
       "      <path clip-path=\"url(#pc8c3777f46)\" d=\"M 18.775399 273.025354 \r\n",
       "L 429.165354 273.025354 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_12\">\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 0 0 \r\n",
       "L 2.5 0 \r\n",
       "\" id=\"mbc95d156a6\" style=\"stroke:#000000;stroke-width:0.5;\"/>\r\n",
       "      </defs>\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"18.775399\" xlink:href=\"#mbc95d156a6\" y=\"273.025354\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_6\">\r\n",
       "      <!-- $\\mathregular{-2}$ -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 10.59375 35.5 \r\n",
       "L 73.1875 35.5 \r\n",
       "L 73.1875 27.203125 \r\n",
       "L 10.59375 27.203125 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-8722\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(3.435399 276.064729)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-8722\"/>\r\n",
       "       <use transform=\"translate(83.789062 0.78125)\" xlink:href=\"#DejaVuSans-50\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_2\">\r\n",
       "     <g id=\"line2d_13\">\r\n",
       "      <path clip-path=\"url(#pc8c3777f46)\" d=\"M 18.775399 219.707213 \r\n",
       "L 429.165354 219.707213 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_14\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"18.775399\" xlink:href=\"#mbc95d156a6\" y=\"219.707213\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_7\">\r\n",
       "      <!-- $\\mathregular{0}$ -->\r\n",
       "      <g transform=\"translate(10.155399 222.746588)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_3\">\r\n",
       "     <g id=\"line2d_15\">\r\n",
       "      <path clip-path=\"url(#pc8c3777f46)\" d=\"M 18.775399 166.389071 \r\n",
       "L 429.165354 166.389071 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_16\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"18.775399\" xlink:href=\"#mbc95d156a6\" y=\"166.389071\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_8\">\r\n",
       "      <!-- $\\mathregular{2}$ -->\r\n",
       "      <g transform=\"translate(10.155399 169.428446)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-50\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_4\">\r\n",
       "     <g id=\"line2d_17\">\r\n",
       "      <path clip-path=\"url(#pc8c3777f46)\" d=\"M 18.775399 113.070929 \r\n",
       "L 429.165354 113.070929 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_18\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"18.775399\" xlink:href=\"#mbc95d156a6\" y=\"113.070929\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_9\">\r\n",
       "      <!-- $\\mathregular{4}$ -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 37.796875 64.3125 \r\n",
       "L 12.890625 25.390625 \r\n",
       "L 37.796875 25.390625 \r\n",
       "z\r\n",
       "M 35.203125 72.90625 \r\n",
       "L 47.609375 72.90625 \r\n",
       "L 47.609375 25.390625 \r\n",
       "L 58.015625 25.390625 \r\n",
       "L 58.015625 17.1875 \r\n",
       "L 47.609375 17.1875 \r\n",
       "L 47.609375 0 \r\n",
       "L 37.796875 0 \r\n",
       "L 37.796875 17.1875 \r\n",
       "L 4.890625 17.1875 \r\n",
       "L 4.890625 26.703125 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-52\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(10.155399 116.110304)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.09375)\" xlink:href=\"#DejaVuSans-52\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_5\">\r\n",
       "     <g id=\"line2d_19\">\r\n",
       "      <path clip-path=\"url(#pc8c3777f46)\" d=\"M 18.775399 59.752787 \r\n",
       "L 429.165354 59.752787 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_20\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"18.775399\" xlink:href=\"#mbc95d156a6\" y=\"59.752787\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_10\">\r\n",
       "      <!-- $\\mathregular{6}$ -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 33.015625 40.375 \r\n",
       "Q 26.375 40.375 22.484375 35.828125 \r\n",
       "Q 18.609375 31.296875 18.609375 23.390625 \r\n",
       "Q 18.609375 15.53125 22.484375 10.953125 \r\n",
       "Q 26.375 6.390625 33.015625 6.390625 \r\n",
       "Q 39.65625 6.390625 43.53125 10.953125 \r\n",
       "Q 47.40625 15.53125 47.40625 23.390625 \r\n",
       "Q 47.40625 31.296875 43.53125 35.828125 \r\n",
       "Q 39.65625 40.375 33.015625 40.375 \r\n",
       "z\r\n",
       "M 52.59375 71.296875 \r\n",
       "L 52.59375 62.3125 \r\n",
       "Q 48.875 64.0625 45.09375 64.984375 \r\n",
       "Q 41.3125 65.921875 37.59375 65.921875 \r\n",
       "Q 27.828125 65.921875 22.671875 59.328125 \r\n",
       "Q 17.53125 52.734375 16.796875 39.40625 \r\n",
       "Q 19.671875 43.65625 24.015625 45.921875 \r\n",
       "Q 28.375 48.1875 33.59375 48.1875 \r\n",
       "Q 44.578125 48.1875 50.953125 41.515625 \r\n",
       "Q 57.328125 34.859375 57.328125 23.390625 \r\n",
       "Q 57.328125 12.15625 50.6875 5.359375 \r\n",
       "Q 44.046875 -1.421875 33.015625 -1.421875 \r\n",
       "Q 20.359375 -1.421875 13.671875 8.265625 \r\n",
       "Q 6.984375 17.96875 6.984375 36.375 \r\n",
       "Q 6.984375 53.65625 15.1875 63.9375 \r\n",
       "Q 23.390625 74.21875 37.203125 74.21875 \r\n",
       "Q 40.921875 74.21875 44.703125 73.484375 \r\n",
       "Q 48.484375 72.75 52.59375 71.296875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-54\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(10.155399 62.792162)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-54\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_6\">\r\n",
       "     <g id=\"line2d_21\">\r\n",
       "      <path clip-path=\"url(#pc8c3777f46)\" d=\"M 18.775399 6.434646 \r\n",
       "L 429.165354 6.434646 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_22\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"18.775399\" xlink:href=\"#mbc95d156a6\" y=\"6.434646\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_11\">\r\n",
       "      <!-- $\\mathregular{8}$ -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 31.78125 34.625 \r\n",
       "Q 24.75 34.625 20.71875 30.859375 \r\n",
       "Q 16.703125 27.09375 16.703125 20.515625 \r\n",
       "Q 16.703125 13.921875 20.71875 10.15625 \r\n",
       "Q 24.75 6.390625 31.78125 6.390625 \r\n",
       "Q 38.8125 6.390625 42.859375 10.171875 \r\n",
       "Q 46.921875 13.96875 46.921875 20.515625 \r\n",
       "Q 46.921875 27.09375 42.890625 30.859375 \r\n",
       "Q 38.875 34.625 31.78125 34.625 \r\n",
       "z\r\n",
       "M 21.921875 38.8125 \r\n",
       "Q 15.578125 40.375 12.03125 44.71875 \r\n",
       "Q 8.5 49.078125 8.5 55.328125 \r\n",
       "Q 8.5 64.0625 14.71875 69.140625 \r\n",
       "Q 20.953125 74.21875 31.78125 74.21875 \r\n",
       "Q 42.671875 74.21875 48.875 69.140625 \r\n",
       "Q 55.078125 64.0625 55.078125 55.328125 \r\n",
       "Q 55.078125 49.078125 51.53125 44.71875 \r\n",
       "Q 48 40.375 41.703125 38.8125 \r\n",
       "Q 48.828125 37.15625 52.796875 32.3125 \r\n",
       "Q 56.78125 27.484375 56.78125 20.515625 \r\n",
       "Q 56.78125 9.90625 50.3125 4.234375 \r\n",
       "Q 43.84375 -1.421875 31.78125 -1.421875 \r\n",
       "Q 19.734375 -1.421875 13.25 4.234375 \r\n",
       "Q 6.78125 9.90625 6.78125 20.515625 \r\n",
       "Q 6.78125 27.484375 10.78125 32.3125 \r\n",
       "Q 14.796875 37.15625 21.921875 38.8125 \r\n",
       "z\r\n",
       "M 18.3125 54.390625 \r\n",
       "Q 18.3125 48.734375 21.84375 45.5625 \r\n",
       "Q 25.390625 42.390625 31.78125 42.390625 \r\n",
       "Q 38.140625 42.390625 41.71875 45.5625 \r\n",
       "Q 45.3125 48.734375 45.3125 54.390625 \r\n",
       "Q 45.3125 60.0625 41.71875 63.234375 \r\n",
       "Q 38.140625 66.40625 31.78125 66.40625 \r\n",
       "Q 25.390625 66.40625 21.84375 63.234375 \r\n",
       "Q 18.3125 60.0625 18.3125 54.390625 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-56\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(10.155399 9.474021)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-56\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_23\">\r\n",
       "    <path clip-path=\"url(#pc8c3777f46)\" d=\"M 30.390209 42.147904 \r\n",
       "L 37.182495 54.58022 \r\n",
       "L 43.974782 66.563133 \r\n",
       "L 50.767069 78.096643 \r\n",
       "L 57.559355 89.18075 \r\n",
       "L 64.351642 99.815455 \r\n",
       "L 71.143928 110.000757 \r\n",
       "L 77.936215 119.736657 \r\n",
       "L 83.758175 127.724025 \r\n",
       "L 89.580135 135.38122 \r\n",
       "L 95.402095 142.708242 \r\n",
       "L 101.224055 149.705091 \r\n",
       "L 107.046015 156.371766 \r\n",
       "L 112.867975 162.708267 \r\n",
       "L 118.689935 168.714596 \r\n",
       "L 124.511894 174.39075 \r\n",
       "L 130.333854 179.736732 \r\n",
       "L 136.155814 184.75254 \r\n",
       "L 141.977774 189.438174 \r\n",
       "L 147.799734 193.793635 \r\n",
       "L 152.651367 197.17097 \r\n",
       "L 157.503001 200.319018 \r\n",
       "L 162.354634 203.237779 \r\n",
       "L 167.206267 205.927253 \r\n",
       "L 172.057901 208.38744 \r\n",
       "L 176.909534 210.61834 \r\n",
       "L 181.761167 212.619952 \r\n",
       "L 186.6128 214.392278 \r\n",
       "L 191.464434 215.935316 \r\n",
       "L 196.316067 217.249067 \r\n",
       "L 201.1677 218.333531 \r\n",
       "L 206.019333 219.188708 \r\n",
       "L 210.870967 219.814598 \r\n",
       "L 215.7226 220.211201 \r\n",
       "L 220.574233 220.378517 \r\n",
       "L 225.425867 220.316546 \r\n",
       "L 230.2775 220.025287 \r\n",
       "L 235.129133 219.504742 \r\n",
       "L 239.980766 218.754909 \r\n",
       "L 244.8324 217.77579 \r\n",
       "L 249.684033 216.567383 \r\n",
       "L 254.535666 215.129689 \r\n",
       "L 259.387299 213.462708 \r\n",
       "L 264.238933 211.56644 \r\n",
       "L 269.090566 209.440885 \r\n",
       "L 273.942199 207.086042 \r\n",
       "L 278.793833 204.501913 \r\n",
       "L 283.645466 201.688497 \r\n",
       "L 288.497099 198.645793 \r\n",
       "L 293.348732 195.373802 \r\n",
       "L 298.200366 191.872525 \r\n",
       "L 304.022326 187.368332 \r\n",
       "L 309.844286 182.533967 \r\n",
       "L 315.666245 177.369428 \r\n",
       "L 321.488205 171.874715 \r\n",
       "L 327.310165 166.049829 \r\n",
       "L 333.132125 159.89477 \r\n",
       "L 338.954085 153.409537 \r\n",
       "L 344.776045 146.594131 \r\n",
       "L 350.598005 139.448551 \r\n",
       "L 356.419965 131.972798 \r\n",
       "L 362.241925 124.166872 \r\n",
       "L 368.063885 116.030772 \r\n",
       "L 374.856171 106.121353 \r\n",
       "L 381.648458 95.762531 \r\n",
       "L 388.440745 84.954307 \r\n",
       "L 395.233031 73.69668 \r\n",
       "L 402.025318 61.98965 \r\n",
       "L 408.817604 49.833217 \r\n",
       "L 415.609891 37.227382 \r\n",
       "L 417.550544 33.543172 \r\n",
       "L 417.550544 33.543172 \r\n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-width:2;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_24\">\r\n",
       "    <path clip-path=\"url(#pc8c3777f46)\" d=\"M 30.390209 58.876759 \r\n",
       "L 37.182495 70.132722 \r\n",
       "L 43.974782 80.999335 \r\n",
       "L 50.767069 91.478824 \r\n",
       "L 57.559355 101.573763 \r\n",
       "L 64.351642 111.287097 \r\n",
       "L 71.143928 120.622128 \r\n",
       "L 77.936215 129.582451 \r\n",
       "L 84.728502 138.171802 \r\n",
       "L 91.520788 146.393784 \r\n",
       "L 98.313075 154.251452 \r\n",
       "L 105.105361 161.746752 \r\n",
       "L 111.897648 168.87988 \r\n",
       "L 118.689935 175.648703 \r\n",
       "L 124.511894 181.157022 \r\n",
       "L 130.333854 186.389612 \r\n",
       "L 136.155814 191.340663 \r\n",
       "L 141.977774 196.003487 \r\n",
       "L 147.799734 200.370929 \r\n",
       "L 153.621694 204.435769 \r\n",
       "L 159.443654 208.191066 \r\n",
       "L 164.295287 211.079368 \r\n",
       "L 169.146921 213.744862 \r\n",
       "L 173.998554 216.184523 \r\n",
       "L 178.850187 218.395677 \r\n",
       "L 183.70182 220.375995 \r\n",
       "L 188.553454 222.123471 \r\n",
       "L 193.405087 223.636402 \r\n",
       "L 198.25672 224.913364 \r\n",
       "L 203.108354 225.953187 \r\n",
       "L 207.959987 226.754935 \r\n",
       "L 212.81162 227.317887 \r\n",
       "L 217.663253 227.641527 \r\n",
       "L 222.514887 227.725524 \r\n",
       "L 227.36652 227.569735 \r\n",
       "L 232.218153 227.174196 \r\n",
       "L 237.069786 226.539124 \r\n",
       "L 241.92142 225.664923 \r\n",
       "L 246.773053 224.552189 \r\n",
       "L 251.624686 223.201728 \r\n",
       "L 256.47632 221.614567 \r\n",
       "L 261.327953 219.791975 \r\n",
       "L 266.179586 217.735484 \r\n",
       "L 271.031219 215.446916 \r\n",
       "L 275.882853 212.928403 \r\n",
       "L 280.734486 210.18241 \r\n",
       "L 285.586119 207.211753 \r\n",
       "L 290.437752 204.019596 \r\n",
       "L 296.259712 199.901586 \r\n",
       "L 302.081672 195.476298 \r\n",
       "L 307.903632 190.7508 \r\n",
       "L 313.725592 185.732331 \r\n",
       "L 319.547552 180.427936 \r\n",
       "L 325.369512 174.844057 \r\n",
       "L 331.191472 168.986127 \r\n",
       "L 337.983759 161.810925 \r\n",
       "L 344.776045 154.272293 \r\n",
       "L 351.568332 146.371647 \r\n",
       "L 358.360618 138.108228 \r\n",
       "L 365.152905 129.479708 \r\n",
       "L 371.945191 120.482824 \r\n",
       "L 378.737478 111.1139 \r\n",
       "L 385.529765 101.369218 \r\n",
       "L 392.322051 91.245256 \r\n",
       "L 399.114338 80.73881 \r\n",
       "L 405.906624 69.84704 \r\n",
       "L 412.698911 58.567475 \r\n",
       "L 417.550544 50.272027 \r\n",
       "L 417.550544 50.272027 \r\n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-dasharray:1,1.65;stroke-dashoffset:0;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_3\">\r\n",
       "    <path d=\"M 18.775399 273.025354 \r\n",
       "L 18.775399 6.434646 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_4\">\r\n",
       "    <path d=\"M 18.775399 273.025354 \r\n",
       "L 429.165354 273.025354 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_25\">\r\n",
       "    <path clip-path=\"url(#pc8c3777f46)\" d=\"M 30.390209 25.41905 \r\n",
       "L 37.182495 39.027718 \r\n",
       "L 43.974782 52.12693 \r\n",
       "L 50.767069 64.714462 \r\n",
       "L 57.559355 76.787738 \r\n",
       "L 64.351642 88.343814 \r\n",
       "L 70.173602 97.834878 \r\n",
       "L 75.995562 106.94128 \r\n",
       "L 81.817522 115.660671 \r\n",
       "L 87.639482 123.99072 \r\n",
       "L 93.461441 131.929279 \r\n",
       "L 99.283401 139.474619 \r\n",
       "L 105.105361 146.625702 \r\n",
       "L 110.927321 153.382484 \r\n",
       "L 116.749281 159.746187 \r\n",
       "L 121.600914 164.750879 \r\n",
       "L 126.452548 169.486741 \r\n",
       "L 131.304181 173.956747 \r\n",
       "L 136.155814 178.164416 \r\n",
       "L 141.007448 182.113661 \r\n",
       "L 145.859081 185.808618 \r\n",
       "L 150.710714 189.253484 \r\n",
       "L 155.562347 192.452369 \r\n",
       "L 160.413981 195.409185 \r\n",
       "L 165.265614 198.127563 \r\n",
       "L 170.117247 200.610808 \r\n",
       "L 174.968881 202.861875 \r\n",
       "L 179.820514 204.883367 \r\n",
       "L 184.672147 206.677547 \r\n",
       "L 189.52378 208.24636 \r\n",
       "L 194.375414 209.591449 \r\n",
       "L 199.227047 210.714187 \r\n",
       "L 204.07868 211.615696 \r\n",
       "L 208.930313 212.296865 \r\n",
       "L 213.781947 212.758376 \r\n",
       "L 218.63358 213.000706 \r\n",
       "L 223.485213 213.024147 \r\n",
       "L 228.336847 212.828807 \r\n",
       "L 233.18848 212.414615 \r\n",
       "L 238.040113 211.781315 \r\n",
       "L 242.891746 210.928468 \r\n",
       "L 247.74338 209.855434 \r\n",
       "L 252.595013 208.561367 \r\n",
       "L 257.446646 207.045191 \r\n",
       "L 262.298279 205.305589 \r\n",
       "L 267.149913 203.34097 \r\n",
       "L 272.001546 201.149453 \r\n",
       "L 276.853179 198.728841 \r\n",
       "L 281.704813 196.076599 \r\n",
       "L 286.556446 193.189844 \r\n",
       "L 291.408079 190.065338 \r\n",
       "L 296.259712 186.699515 \r\n",
       "L 301.111346 183.088511 \r\n",
       "L 305.962979 179.22825 \r\n",
       "L 310.814612 175.11454 \r\n",
       "L 315.666245 170.743221 \r\n",
       "L 320.517879 166.110321 \r\n",
       "L 325.369512 161.212231 \r\n",
       "L 330.221145 156.045855 \r\n",
       "L 336.043105 149.488658 \r\n",
       "L 341.865065 142.538721 \r\n",
       "L 347.687025 135.194595 \r\n",
       "L 353.508985 127.456127 \r\n",
       "L 359.330945 119.32421 \r\n",
       "L 365.152905 110.800479 \r\n",
       "L 370.974865 101.88703 \r\n",
       "L 376.796825 92.586177 \r\n",
       "L 382.618785 82.900274 \r\n",
       "L 388.440745 72.831599 \r\n",
       "L 395.233031 60.603858 \r\n",
       "L 402.025318 47.861057 \r\n",
       "L 408.817604 34.605877 \r\n",
       "L 415.609891 20.84064 \r\n",
       "L 417.550544 16.814317 \r\n",
       "L 417.550544 16.814317 \r\n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-dasharray:1,1.65;stroke-dashoffset:0;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_26\">\r\n",
       "    <path clip-path=\"url(#pc8c3777f46)\" d=\"M 30.390209 74.487149 \r\n",
       "L 38.152822 87.986642 \r\n",
       "L 44.945109 99.382164 \r\n",
       "L 51.737395 110.386356 \r\n",
       "L 58.529682 120.996473 \r\n",
       "L 65.321968 131.209515 \r\n",
       "L 72.114255 141.022263 \r\n",
       "L 78.906542 150.43132 \r\n",
       "L 85.698828 159.433161 \r\n",
       "L 92.491115 168.024174 \r\n",
       "L 98.313075 175.058151 \r\n",
       "L 104.135035 181.785325 \r\n",
       "L 109.956995 188.203429 \r\n",
       "L 115.778955 194.310237 \r\n",
       "L 121.600914 200.103587 \r\n",
       "L 127.422874 205.581385 \r\n",
       "L 133.244834 210.741628 \r\n",
       "L 139.066794 215.582406 \r\n",
       "L 144.888754 220.101912 \r\n",
       "L 150.710714 224.298453 \r\n",
       "L 155.562347 227.547718 \r\n",
       "L 160.413981 230.570752 \r\n",
       "L 165.265614 233.366761 \r\n",
       "L 170.117247 235.935011 \r\n",
       "L 174.968881 238.274829 \r\n",
       "L 179.820514 240.3856 \r\n",
       "L 184.672147 242.266766 \r\n",
       "L 189.52378 243.917832 \r\n",
       "L 194.375414 245.338359 \r\n",
       "L 199.227047 246.527969 \r\n",
       "L 204.07868 247.486341 \r\n",
       "L 208.930313 248.21321 \r\n",
       "L 213.781947 248.708372 \r\n",
       "L 218.63358 248.971678 \r\n",
       "L 223.485213 249.003038 \r\n",
       "L 228.336847 248.802416 \r\n",
       "L 233.18848 248.369836 \r\n",
       "L 238.040113 247.705378 \r\n",
       "L 242.891746 246.809178 \r\n",
       "L 247.74338 245.68143 \r\n",
       "L 252.595013 244.322387 \r\n",
       "L 257.446646 242.732357 \r\n",
       "L 262.298279 240.911708 \r\n",
       "L 267.149913 238.860866 \r\n",
       "L 272.001546 236.580317 \r\n",
       "L 276.853179 234.070604 \r\n",
       "L 281.704813 231.33233 \r\n",
       "L 286.556446 228.366158 \r\n",
       "L 291.408079 225.172811 \r\n",
       "L 296.259712 221.753069 \r\n",
       "L 302.081672 217.351723 \r\n",
       "L 307.903632 212.62714 \r\n",
       "L 313.725592 207.580997 \r\n",
       "L 319.547552 202.215079 \r\n",
       "L 325.369512 196.531281 \r\n",
       "L 331.191472 190.531591 \r\n",
       "L 337.013432 184.218088 \r\n",
       "L 342.835392 177.592925 \r\n",
       "L 348.657352 170.658318 \r\n",
       "L 354.479312 163.416527 \r\n",
       "L 361.271598 154.58258 \r\n",
       "L 368.063885 145.337286 \r\n",
       "L 374.856171 135.684263 \r\n",
       "L 381.648458 125.627054 \r\n",
       "L 388.440745 115.169075 \r\n",
       "L 395.233031 104.313573 \r\n",
       "L 402.025318 93.063583 \r\n",
       "L 408.817604 81.421887 \r\n",
       "L 416.580218 67.640647 \r\n",
       "L 417.550544 65.882416 \r\n",
       "L 417.550544 65.882416 \r\n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-dasharray:3.7,1.6;stroke-dashoffset:0;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_27\">\r\n",
       "    <path clip-path=\"url(#pc8c3777f46)\" d=\"M 30.390209 9.80866 \r\n",
       "L 37.182495 22.833528 \r\n",
       "L 43.974782 35.348135 \r\n",
       "L 50.767069 47.354897 \r\n",
       "L 57.559355 58.856521 \r\n",
       "L 63.381315 68.315247 \r\n",
       "L 69.203275 77.407027 \r\n",
       "L 75.025235 86.133964 \r\n",
       "L 80.847195 94.498241 \r\n",
       "L 86.669155 102.502103 \r\n",
       "L 92.491115 110.147832 \r\n",
       "L 98.313075 117.437725 \r\n",
       "L 104.135035 124.374075 \r\n",
       "L 109.956995 130.959148 \r\n",
       "L 115.778955 137.195169 \r\n",
       "L 121.600914 143.084303 \r\n",
       "L 127.422874 148.62864 \r\n",
       "L 133.244834 153.830187 \r\n",
       "L 139.066794 158.690852 \r\n",
       "L 144.888754 163.212441 \r\n",
       "L 149.740387 166.722641 \r\n",
       "L 154.592021 169.999471 \r\n",
       "L 159.443654 173.043792 \r\n",
       "L 164.295287 175.85641 \r\n",
       "L 169.146921 178.43807 \r\n",
       "L 173.998554 180.789458 \r\n",
       "L 178.850187 182.911201 \r\n",
       "L 183.70182 184.803868 \r\n",
       "L 188.553454 186.467966 \r\n",
       "L 193.405087 187.903946 \r\n",
       "L 198.25672 189.112198 \r\n",
       "L 203.108354 190.093054 \r\n",
       "L 207.959987 190.846791 \r\n",
       "L 212.81162 191.373624 \r\n",
       "L 217.663253 191.673713 \r\n",
       "L 222.514887 191.747162 \r\n",
       "L 227.36652 191.594015 \r\n",
       "L 232.218153 191.214261 \r\n",
       "L 237.069786 190.607832 \r\n",
       "L 241.92142 189.774603 \r\n",
       "L 246.773053 188.71439 \r\n",
       "L 251.624686 187.426954 \r\n",
       "L 256.47632 185.911997 \r\n",
       "L 261.327953 184.169163 \r\n",
       "L 266.179586 182.198037 \r\n",
       "L 271.031219 179.998146 \r\n",
       "L 275.882853 177.568959 \r\n",
       "L 280.734486 174.909883 \r\n",
       "L 285.586119 172.020268 \r\n",
       "L 290.437752 168.899404 \r\n",
       "L 295.289386 165.546522 \r\n",
       "L 300.141019 161.960793 \r\n",
       "L 304.992652 158.141333 \r\n",
       "L 310.814612 153.248123 \r\n",
       "L 316.636572 148.015248 \r\n",
       "L 322.458532 142.440866 \r\n",
       "L 328.280492 136.523035 \r\n",
       "L 334.102452 130.259719 \r\n",
       "L 339.924412 123.648802 \r\n",
       "L 345.746372 116.688098 \r\n",
       "L 351.568332 109.375365 \r\n",
       "L 357.390292 101.708326 \r\n",
       "L 363.212252 93.684686 \r\n",
       "L 369.034212 85.302148 \r\n",
       "L 374.856171 76.558443 \r\n",
       "L 380.678131 67.451342 \r\n",
       "L 386.500091 57.978686 \r\n",
       "L 393.292378 46.462477 \r\n",
       "L 400.084664 34.442794 \r\n",
       "L 406.876951 21.916779 \r\n",
       "L 413.669238 8.881846 \r\n",
       "L 417.550544 1.203927 \r\n",
       "L 417.550544 1.203927 \r\n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-dasharray:3.7,1.6;stroke-dashoffset:0;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_28\">\r\n",
       "    <path clip-path=\"url(#pc8c3777f46)\" d=\"M 30.390209 58.419834 \r\n",
       "L 37.182495 69.539678 \r\n",
       "L 43.974782 80.262384 \r\n",
       "L 50.767069 90.587954 \r\n",
       "L 57.559355 100.516386 \r\n",
       "L 64.351642 110.047681 \r\n",
       "L 71.143928 119.181838 \r\n",
       "L 77.936215 127.918858 \r\n",
       "L 84.728502 136.258741 \r\n",
       "L 91.520788 144.201487 \r\n",
       "L 97.342748 150.693466 \r\n",
       "L 103.164708 156.89367 \r\n",
       "L 108.986668 162.8021 \r\n",
       "L 114.808628 168.418756 \r\n",
       "L 120.630588 173.743638 \r\n",
       "L 126.452548 178.776745 \r\n",
       "L 132.274508 183.518078 \r\n",
       "L 138.096468 187.967636 \r\n",
       "L 143.918428 192.12542 \r\n",
       "L 149.740387 195.99143 \r\n",
       "L 155.562347 199.565666 \r\n",
       "L 161.384307 202.848127 \r\n",
       "L 167.206267 205.838814 \r\n",
       "L 173.028227 208.537727 \r\n",
       "L 177.87986 210.563937 \r\n",
       "L 182.731494 212.387527 \r\n",
       "L 187.583127 214.008495 \r\n",
       "L 192.43476 215.426843 \r\n",
       "L 197.286394 216.642569 \r\n",
       "L 202.138027 217.655674 \r\n",
       "L 206.98966 218.466159 \r\n",
       "L 211.841293 219.074022 \r\n",
       "L 216.692927 219.479264 \r\n",
       "L 221.54456 219.681885 \r\n",
       "L 226.396193 219.681885 \r\n",
       "L 231.247826 219.479264 \r\n",
       "L 236.09946 219.074022 \r\n",
       "L 240.951093 218.466159 \r\n",
       "L 245.802726 217.655674 \r\n",
       "L 250.65436 216.642569 \r\n",
       "L 255.505993 215.426843 \r\n",
       "L 260.357626 214.008495 \r\n",
       "L 265.209259 212.387527 \r\n",
       "L 270.060893 210.563937 \r\n",
       "L 274.912526 208.537727 \r\n",
       "L 279.764159 206.308895 \r\n",
       "L 285.586119 203.366837 \r\n",
       "L 291.408079 200.133005 \r\n",
       "L 297.230039 196.607398 \r\n",
       "L 303.051999 192.790018 \r\n",
       "L 308.873959 188.680862 \r\n",
       "L 314.695919 184.279933 \r\n",
       "L 320.517879 179.587229 \r\n",
       "L 326.339839 174.602751 \r\n",
       "L 332.161799 169.326499 \r\n",
       "L 337.983759 163.758472 \r\n",
       "L 343.805718 157.898671 \r\n",
       "L 349.627678 151.747095 \r\n",
       "L 355.449638 145.303745 \r\n",
       "L 361.271598 138.568621 \r\n",
       "L 368.063885 130.342206 \r\n",
       "L 374.856171 121.718654 \r\n",
       "L 381.648458 112.697964 \r\n",
       "L 388.440745 103.280137 \r\n",
       "L 395.233031 93.465173 \r\n",
       "L 402.025318 83.253071 \r\n",
       "L 408.817604 72.643832 \r\n",
       "L 415.609891 61.637456 \r\n",
       "L 417.550544 58.419834 \r\n",
       "L 417.550544 58.419834 \r\n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-opacity:0.85;stroke-width:1.4;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"PathCollection_1\">\r\n",
       "    <defs>\r\n",
       "     <path d=\"M 0 2 \r\n",
       "C 0.530406 2 1.03916 1.789267 1.414214 1.414214 \r\n",
       "C 1.789267 1.03916 2 0.530406 2 0 \r\n",
       "C 2 -0.530406 1.789267 -1.03916 1.414214 -1.414214 \r\n",
       "C 1.03916 -1.789267 0.530406 -2 0 -2 \r\n",
       "C -0.530406 -2 -1.03916 -1.789267 -1.414214 -1.414214 \r\n",
       "C -1.789267 -1.03916 -2 -0.530406 -2 0 \r\n",
       "C -2 0.530406 -1.789267 1.03916 -1.414214 1.414214 \r\n",
       "C -1.03916 1.789267 -0.530406 2 0 2 \r\n",
       "z\r\n",
       "\" id=\"mbff711bd82\" style=\"stroke:#0000ff;stroke-opacity:0.5;\"/>\r\n",
       "    </defs>\r\n",
       "    <g clip-path=\"url(#pc8c3777f46)\">\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"47.988406\" xlink:href=\"#mbff711bd82\" y=\"79.101322\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"59.342081\" xlink:href=\"#mbff711bd82\" y=\"85.153787\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"70.695757\" xlink:href=\"#mbff711bd82\" y=\"110.387814\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"82.049433\" xlink:href=\"#mbff711bd82\" y=\"122.650646\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"93.403108\" xlink:href=\"#mbff711bd82\" y=\"147.539588\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"104.756784\" xlink:href=\"#mbff711bd82\" y=\"134.000667\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"116.110459\" xlink:href=\"#mbff711bd82\" y=\"159.252444\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"127.464135\" xlink:href=\"#mbff711bd82\" y=\"185.383311\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"138.81781\" xlink:href=\"#mbff711bd82\" y=\"182.376257\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"150.171486\" xlink:href=\"#mbff711bd82\" y=\"199.611258\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"161.525161\" xlink:href=\"#mbff711bd82\" y=\"233.323657\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"172.878837\" xlink:href=\"#mbff711bd82\" y=\"215.816088\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"184.232512\" xlink:href=\"#mbff711bd82\" y=\"202.616245\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"195.586188\" xlink:href=\"#mbff711bd82\" y=\"207.129389\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"206.939863\" xlink:href=\"#mbff711bd82\" y=\"208.612221\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"218.293539\" xlink:href=\"#mbff711bd82\" y=\"238.165689\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"229.647214\" xlink:href=\"#mbff711bd82\" y=\"206.149947\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"241.00089\" xlink:href=\"#mbff711bd82\" y=\"231.288819\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"252.354565\" xlink:href=\"#mbff711bd82\" y=\"222.013568\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"263.708241\" xlink:href=\"#mbff711bd82\" y=\"225.633111\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"275.061916\" xlink:href=\"#mbff711bd82\" y=\"199.334529\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"286.415592\" xlink:href=\"#mbff711bd82\" y=\"202.034447\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"297.769267\" xlink:href=\"#mbff711bd82\" y=\"167.254353\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"309.122943\" xlink:href=\"#mbff711bd82\" y=\"187.719058\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"320.476619\" xlink:href=\"#mbff711bd82\" y=\"170.957471\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"331.830294\" xlink:href=\"#mbff711bd82\" y=\"157.490156\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"343.18397\" xlink:href=\"#mbff711bd82\" y=\"136.777844\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"354.537645\" xlink:href=\"#mbff711bd82\" y=\"110.5\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"365.891321\" xlink:href=\"#mbff711bd82\" y=\"148.4806\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"377.244996\" xlink:href=\"#mbff711bd82\" y=\"111.759504\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"388.598672\" xlink:href=\"#mbff711bd82\" y=\"80.846106\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"399.952347\" xlink:href=\"#mbff711bd82\" y=\"69.396602\"/>\r\n",
       "    </g>\r\n",
       "   </g>\r\n",
       "   <g id=\"legend_1\">\r\n",
       "    <g id=\"patch_5\">\r\n",
       "     <path d=\"M 22.775399 269.025354 \r\n",
       "L 122.354149 269.025354 \r\n",
       "L 122.354149 201.512854 \r\n",
       "L 22.775399 201.512854 \r\n",
       "z\r\n",
       "\" style=\"fill:#ffffff;stroke:#000000;stroke-linejoin:miter;\"/>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_29\">\r\n",
       "     <path d=\"M 29.175399 211.191604 \r\n",
       "L 45.175399 211.191604 \r\n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linejoin:miter;\"/>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_30\"/>\r\n",
       "    <g id=\"text_12\">\r\n",
       "     <!-- fitting curve -->\r\n",
       "     <defs>\r\n",
       "      <path d=\"M 37.109375 75.984375 \r\n",
       "L 37.109375 68.5 \r\n",
       "L 28.515625 68.5 \r\n",
       "Q 23.6875 68.5 21.796875 66.546875 \r\n",
       "Q 19.921875 64.59375 19.921875 59.515625 \r\n",
       "L 19.921875 54.6875 \r\n",
       "L 34.71875 54.6875 \r\n",
       "L 34.71875 47.703125 \r\n",
       "L 19.921875 47.703125 \r\n",
       "L 19.921875 0 \r\n",
       "L 10.890625 0 \r\n",
       "L 10.890625 47.703125 \r\n",
       "L 2.296875 47.703125 \r\n",
       "L 2.296875 54.6875 \r\n",
       "L 10.890625 54.6875 \r\n",
       "L 10.890625 58.5 \r\n",
       "Q 10.890625 67.625 15.140625 71.796875 \r\n",
       "Q 19.390625 75.984375 28.609375 75.984375 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-102\"/>\r\n",
       "      <path d=\"M 9.421875 54.6875 \r\n",
       "L 18.40625 54.6875 \r\n",
       "L 18.40625 0 \r\n",
       "L 9.421875 0 \r\n",
       "z\r\n",
       "M 9.421875 75.984375 \r\n",
       "L 18.40625 75.984375 \r\n",
       "L 18.40625 64.59375 \r\n",
       "L 9.421875 64.59375 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-105\"/>\r\n",
       "      <path d=\"M 18.3125 70.21875 \r\n",
       "L 18.3125 54.6875 \r\n",
       "L 36.8125 54.6875 \r\n",
       "L 36.8125 47.703125 \r\n",
       "L 18.3125 47.703125 \r\n",
       "L 18.3125 18.015625 \r\n",
       "Q 18.3125 11.328125 20.140625 9.421875 \r\n",
       "Q 21.96875 7.515625 27.59375 7.515625 \r\n",
       "L 36.8125 7.515625 \r\n",
       "L 36.8125 0 \r\n",
       "L 27.59375 0 \r\n",
       "Q 17.1875 0 13.234375 3.875 \r\n",
       "Q 9.28125 7.765625 9.28125 18.015625 \r\n",
       "L 9.28125 47.703125 \r\n",
       "L 2.6875 47.703125 \r\n",
       "L 2.6875 54.6875 \r\n",
       "L 9.28125 54.6875 \r\n",
       "L 9.28125 70.21875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-116\"/>\r\n",
       "      <path d=\"M 54.890625 33.015625 \r\n",
       "L 54.890625 0 \r\n",
       "L 45.90625 0 \r\n",
       "L 45.90625 32.71875 \r\n",
       "Q 45.90625 40.484375 42.875 44.328125 \r\n",
       "Q 39.84375 48.1875 33.796875 48.1875 \r\n",
       "Q 26.515625 48.1875 22.3125 43.546875 \r\n",
       "Q 18.109375 38.921875 18.109375 30.90625 \r\n",
       "L 18.109375 0 \r\n",
       "L 9.078125 0 \r\n",
       "L 9.078125 54.6875 \r\n",
       "L 18.109375 54.6875 \r\n",
       "L 18.109375 46.1875 \r\n",
       "Q 21.34375 51.125 25.703125 53.5625 \r\n",
       "Q 30.078125 56 35.796875 56 \r\n",
       "Q 45.21875 56 50.046875 50.171875 \r\n",
       "Q 54.890625 44.34375 54.890625 33.015625 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-110\"/>\r\n",
       "      <path d=\"M 45.40625 27.984375 \r\n",
       "Q 45.40625 37.75 41.375 43.109375 \r\n",
       "Q 37.359375 48.484375 30.078125 48.484375 \r\n",
       "Q 22.859375 48.484375 18.828125 43.109375 \r\n",
       "Q 14.796875 37.75 14.796875 27.984375 \r\n",
       "Q 14.796875 18.265625 18.828125 12.890625 \r\n",
       "Q 22.859375 7.515625 30.078125 7.515625 \r\n",
       "Q 37.359375 7.515625 41.375 12.890625 \r\n",
       "Q 45.40625 18.265625 45.40625 27.984375 \r\n",
       "z\r\n",
       "M 54.390625 6.78125 \r\n",
       "Q 54.390625 -7.171875 48.1875 -13.984375 \r\n",
       "Q 42 -20.796875 29.203125 -20.796875 \r\n",
       "Q 24.46875 -20.796875 20.265625 -20.09375 \r\n",
       "Q 16.0625 -19.390625 12.109375 -17.921875 \r\n",
       "L 12.109375 -9.1875 \r\n",
       "Q 16.0625 -11.328125 19.921875 -12.34375 \r\n",
       "Q 23.78125 -13.375 27.78125 -13.375 \r\n",
       "Q 36.625 -13.375 41.015625 -8.765625 \r\n",
       "Q 45.40625 -4.15625 45.40625 5.171875 \r\n",
       "L 45.40625 9.625 \r\n",
       "Q 42.625 4.78125 38.28125 2.390625 \r\n",
       "Q 33.9375 0 27.875 0 \r\n",
       "Q 17.828125 0 11.671875 7.65625 \r\n",
       "Q 5.515625 15.328125 5.515625 27.984375 \r\n",
       "Q 5.515625 40.671875 11.671875 48.328125 \r\n",
       "Q 17.828125 56 27.875 56 \r\n",
       "Q 33.9375 56 38.28125 53.609375 \r\n",
       "Q 42.625 51.21875 45.40625 46.390625 \r\n",
       "L 45.40625 54.6875 \r\n",
       "L 54.390625 54.6875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-103\"/>\r\n",
       "      <path id=\"DejaVuSans-32\"/>\r\n",
       "      <path d=\"M 48.78125 52.59375 \r\n",
       "L 48.78125 44.1875 \r\n",
       "Q 44.96875 46.296875 41.140625 47.34375 \r\n",
       "Q 37.3125 48.390625 33.40625 48.390625 \r\n",
       "Q 24.65625 48.390625 19.8125 42.84375 \r\n",
       "Q 14.984375 37.3125 14.984375 27.296875 \r\n",
       "Q 14.984375 17.28125 19.8125 11.734375 \r\n",
       "Q 24.65625 6.203125 33.40625 6.203125 \r\n",
       "Q 37.3125 6.203125 41.140625 7.25 \r\n",
       "Q 44.96875 8.296875 48.78125 10.40625 \r\n",
       "L 48.78125 2.09375 \r\n",
       "Q 45.015625 0.34375 40.984375 -0.53125 \r\n",
       "Q 36.96875 -1.421875 32.421875 -1.421875 \r\n",
       "Q 20.0625 -1.421875 12.78125 6.34375 \r\n",
       "Q 5.515625 14.109375 5.515625 27.296875 \r\n",
       "Q 5.515625 40.671875 12.859375 48.328125 \r\n",
       "Q 20.21875 56 33.015625 56 \r\n",
       "Q 37.15625 56 41.109375 55.140625 \r\n",
       "Q 45.0625 54.296875 48.78125 52.59375 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-99\"/>\r\n",
       "      <path d=\"M 8.5 21.578125 \r\n",
       "L 8.5 54.6875 \r\n",
       "L 17.484375 54.6875 \r\n",
       "L 17.484375 21.921875 \r\n",
       "Q 17.484375 14.15625 20.5 10.265625 \r\n",
       "Q 23.53125 6.390625 29.59375 6.390625 \r\n",
       "Q 36.859375 6.390625 41.078125 11.03125 \r\n",
       "Q 45.3125 15.671875 45.3125 23.6875 \r\n",
       "L 45.3125 54.6875 \r\n",
       "L 54.296875 54.6875 \r\n",
       "L 54.296875 0 \r\n",
       "L 45.3125 0 \r\n",
       "L 45.3125 8.40625 \r\n",
       "Q 42.046875 3.421875 37.71875 1 \r\n",
       "Q 33.40625 -1.421875 27.6875 -1.421875 \r\n",
       "Q 18.265625 -1.421875 13.375 4.4375 \r\n",
       "Q 8.5 10.296875 8.5 21.578125 \r\n",
       "z\r\n",
       "M 31.109375 56 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-117\"/>\r\n",
       "      <path d=\"M 41.109375 46.296875 \r\n",
       "Q 39.59375 47.171875 37.8125 47.578125 \r\n",
       "Q 36.03125 48 33.890625 48 \r\n",
       "Q 26.265625 48 22.1875 43.046875 \r\n",
       "Q 18.109375 38.09375 18.109375 28.8125 \r\n",
       "L 18.109375 0 \r\n",
       "L 9.078125 0 \r\n",
       "L 9.078125 54.6875 \r\n",
       "L 18.109375 54.6875 \r\n",
       "L 18.109375 46.1875 \r\n",
       "Q 20.953125 51.171875 25.484375 53.578125 \r\n",
       "Q 30.03125 56 36.53125 56 \r\n",
       "Q 37.453125 56 38.578125 55.875 \r\n",
       "Q 39.703125 55.765625 41.0625 55.515625 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-114\"/>\r\n",
       "      <path d=\"M 2.984375 54.6875 \r\n",
       "L 12.5 54.6875 \r\n",
       "L 29.59375 8.796875 \r\n",
       "L 46.6875 54.6875 \r\n",
       "L 56.203125 54.6875 \r\n",
       "L 35.6875 0 \r\n",
       "L 23.484375 0 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-118\"/>\r\n",
       "      <path d=\"M 56.203125 29.59375 \r\n",
       "L 56.203125 25.203125 \r\n",
       "L 14.890625 25.203125 \r\n",
       "Q 15.484375 15.921875 20.484375 11.0625 \r\n",
       "Q 25.484375 6.203125 34.421875 6.203125 \r\n",
       "Q 39.59375 6.203125 44.453125 7.46875 \r\n",
       "Q 49.3125 8.734375 54.109375 11.28125 \r\n",
       "L 54.109375 2.78125 \r\n",
       "Q 49.265625 0.734375 44.1875 -0.34375 \r\n",
       "Q 39.109375 -1.421875 33.890625 -1.421875 \r\n",
       "Q 20.796875 -1.421875 13.15625 6.1875 \r\n",
       "Q 5.515625 13.8125 5.515625 26.8125 \r\n",
       "Q 5.515625 40.234375 12.765625 48.109375 \r\n",
       "Q 20.015625 56 32.328125 56 \r\n",
       "Q 43.359375 56 49.78125 48.890625 \r\n",
       "Q 56.203125 41.796875 56.203125 29.59375 \r\n",
       "z\r\n",
       "M 47.21875 32.234375 \r\n",
       "Q 47.125 39.59375 43.09375 43.984375 \r\n",
       "Q 39.0625 48.390625 32.421875 48.390625 \r\n",
       "Q 24.90625 48.390625 20.390625 44.140625 \r\n",
       "Q 15.875 39.890625 15.1875 32.171875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-101\"/>\r\n",
       "     </defs>\r\n",
       "     <g transform=\"translate(51.575399 213.991604)scale(0.08 -0.08)\">\r\n",
       "      <use xlink:href=\"#DejaVuSans-102\"/>\r\n",
       "      <use x=\"35.205078\" xlink:href=\"#DejaVuSans-105\"/>\r\n",
       "      <use x=\"62.988281\" xlink:href=\"#DejaVuSans-116\"/>\r\n",
       "      <use x=\"102.197266\" xlink:href=\"#DejaVuSans-116\"/>\r\n",
       "      <use x=\"141.40625\" xlink:href=\"#DejaVuSans-105\"/>\r\n",
       "      <use x=\"169.189453\" xlink:href=\"#DejaVuSans-110\"/>\r\n",
       "      <use x=\"232.568359\" xlink:href=\"#DejaVuSans-103\"/>\r\n",
       "      <use x=\"296.044922\" xlink:href=\"#DejaVuSans-32\"/>\r\n",
       "      <use x=\"327.832031\" xlink:href=\"#DejaVuSans-99\"/>\r\n",
       "      <use x=\"382.8125\" xlink:href=\"#DejaVuSans-117\"/>\r\n",
       "      <use x=\"446.191406\" xlink:href=\"#DejaVuSans-114\"/>\r\n",
       "      <use x=\"487.304688\" xlink:href=\"#DejaVuSans-118\"/>\r\n",
       "      <use x=\"546.484375\" xlink:href=\"#DejaVuSans-101\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_31\">\r\n",
       "     <path d=\"M 29.175399 222.934104 \r\n",
       "L 45.175399 222.934104 \r\n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-dasharray:1,1.65;stroke-dashoffset:0;stroke-linejoin:miter;\"/>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_32\"/>\r\n",
       "    <g id=\"text_13\">\r\n",
       "     <!-- 95.0% conf. int. -->\r\n",
       "     <defs>\r\n",
       "      <path d=\"M 10.984375 1.515625 \r\n",
       "L 10.984375 10.5 \r\n",
       "Q 14.703125 8.734375 18.5 7.8125 \r\n",
       "Q 22.3125 6.890625 25.984375 6.890625 \r\n",
       "Q 35.75 6.890625 40.890625 13.453125 \r\n",
       "Q 46.046875 20.015625 46.78125 33.40625 \r\n",
       "Q 43.953125 29.203125 39.59375 26.953125 \r\n",
       "Q 35.25 24.703125 29.984375 24.703125 \r\n",
       "Q 19.046875 24.703125 12.671875 31.3125 \r\n",
       "Q 6.296875 37.9375 6.296875 49.421875 \r\n",
       "Q 6.296875 60.640625 12.9375 67.421875 \r\n",
       "Q 19.578125 74.21875 30.609375 74.21875 \r\n",
       "Q 43.265625 74.21875 49.921875 64.515625 \r\n",
       "Q 56.59375 54.828125 56.59375 36.375 \r\n",
       "Q 56.59375 19.140625 48.40625 8.859375 \r\n",
       "Q 40.234375 -1.421875 26.421875 -1.421875 \r\n",
       "Q 22.703125 -1.421875 18.890625 -0.6875 \r\n",
       "Q 15.09375 0.046875 10.984375 1.515625 \r\n",
       "z\r\n",
       "M 30.609375 32.421875 \r\n",
       "Q 37.25 32.421875 41.125 36.953125 \r\n",
       "Q 45.015625 41.5 45.015625 49.421875 \r\n",
       "Q 45.015625 57.28125 41.125 61.84375 \r\n",
       "Q 37.25 66.40625 30.609375 66.40625 \r\n",
       "Q 23.96875 66.40625 20.09375 61.84375 \r\n",
       "Q 16.21875 57.28125 16.21875 49.421875 \r\n",
       "Q 16.21875 41.5 20.09375 36.953125 \r\n",
       "Q 23.96875 32.421875 30.609375 32.421875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-57\"/>\r\n",
       "      <path d=\"M 72.703125 32.078125 \r\n",
       "Q 68.453125 32.078125 66.03125 28.46875 \r\n",
       "Q 63.625 24.859375 63.625 18.40625 \r\n",
       "Q 63.625 12.0625 66.03125 8.421875 \r\n",
       "Q 68.453125 4.78125 72.703125 4.78125 \r\n",
       "Q 76.859375 4.78125 79.265625 8.421875 \r\n",
       "Q 81.6875 12.0625 81.6875 18.40625 \r\n",
       "Q 81.6875 24.8125 79.265625 28.4375 \r\n",
       "Q 76.859375 32.078125 72.703125 32.078125 \r\n",
       "z\r\n",
       "M 72.703125 38.28125 \r\n",
       "Q 80.421875 38.28125 84.953125 32.90625 \r\n",
       "Q 89.5 27.546875 89.5 18.40625 \r\n",
       "Q 89.5 9.28125 84.9375 3.921875 \r\n",
       "Q 80.375 -1.421875 72.703125 -1.421875 \r\n",
       "Q 64.890625 -1.421875 60.34375 3.921875 \r\n",
       "Q 55.8125 9.28125 55.8125 18.40625 \r\n",
       "Q 55.8125 27.59375 60.375 32.9375 \r\n",
       "Q 64.9375 38.28125 72.703125 38.28125 \r\n",
       "z\r\n",
       "M 22.3125 68.015625 \r\n",
       "Q 18.109375 68.015625 15.6875 64.375 \r\n",
       "Q 13.28125 60.75 13.28125 54.390625 \r\n",
       "Q 13.28125 47.953125 15.671875 44.328125 \r\n",
       "Q 18.0625 40.71875 22.3125 40.71875 \r\n",
       "Q 26.5625 40.71875 28.96875 44.328125 \r\n",
       "Q 31.390625 47.953125 31.390625 54.390625 \r\n",
       "Q 31.390625 60.6875 28.953125 64.34375 \r\n",
       "Q 26.515625 68.015625 22.3125 68.015625 \r\n",
       "z\r\n",
       "M 66.40625 74.21875 \r\n",
       "L 74.21875 74.21875 \r\n",
       "L 28.609375 -1.421875 \r\n",
       "L 20.796875 -1.421875 \r\n",
       "z\r\n",
       "M 22.3125 74.21875 \r\n",
       "Q 30.03125 74.21875 34.609375 68.875 \r\n",
       "Q 39.203125 63.53125 39.203125 54.390625 \r\n",
       "Q 39.203125 45.171875 34.640625 39.84375 \r\n",
       "Q 30.078125 34.515625 22.3125 34.515625 \r\n",
       "Q 14.546875 34.515625 10.03125 39.859375 \r\n",
       "Q 5.515625 45.21875 5.515625 54.390625 \r\n",
       "Q 5.515625 63.484375 10.046875 68.84375 \r\n",
       "Q 14.59375 74.21875 22.3125 74.21875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-37\"/>\r\n",
       "      <path d=\"M 30.609375 48.390625 \r\n",
       "Q 23.390625 48.390625 19.1875 42.75 \r\n",
       "Q 14.984375 37.109375 14.984375 27.296875 \r\n",
       "Q 14.984375 17.484375 19.15625 11.84375 \r\n",
       "Q 23.34375 6.203125 30.609375 6.203125 \r\n",
       "Q 37.796875 6.203125 41.984375 11.859375 \r\n",
       "Q 46.1875 17.53125 46.1875 27.296875 \r\n",
       "Q 46.1875 37.015625 41.984375 42.703125 \r\n",
       "Q 37.796875 48.390625 30.609375 48.390625 \r\n",
       "z\r\n",
       "M 30.609375 56 \r\n",
       "Q 42.328125 56 49.015625 48.375 \r\n",
       "Q 55.71875 40.765625 55.71875 27.296875 \r\n",
       "Q 55.71875 13.875 49.015625 6.21875 \r\n",
       "Q 42.328125 -1.421875 30.609375 -1.421875 \r\n",
       "Q 18.84375 -1.421875 12.171875 6.21875 \r\n",
       "Q 5.515625 13.875 5.515625 27.296875 \r\n",
       "Q 5.515625 40.765625 12.171875 48.375 \r\n",
       "Q 18.84375 56 30.609375 56 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-111\"/>\r\n",
       "     </defs>\r\n",
       "     <g transform=\"translate(51.575399 225.734104)scale(0.08 -0.08)\">\r\n",
       "      <use xlink:href=\"#DejaVuSans-57\"/>\r\n",
       "      <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\r\n",
       "      <use x=\"127.246094\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "      <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\r\n",
       "      <use x=\"222.65625\" xlink:href=\"#DejaVuSans-37\"/>\r\n",
       "      <use x=\"317.675781\" xlink:href=\"#DejaVuSans-32\"/>\r\n",
       "      <use x=\"349.462891\" xlink:href=\"#DejaVuSans-99\"/>\r\n",
       "      <use x=\"404.443359\" xlink:href=\"#DejaVuSans-111\"/>\r\n",
       "      <use x=\"465.625\" xlink:href=\"#DejaVuSans-110\"/>\r\n",
       "      <use x=\"529.003906\" xlink:href=\"#DejaVuSans-102\"/>\r\n",
       "      <use x=\"564.099609\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "      <use x=\"595.886719\" xlink:href=\"#DejaVuSans-32\"/>\r\n",
       "      <use x=\"627.673828\" xlink:href=\"#DejaVuSans-105\"/>\r\n",
       "      <use x=\"655.457031\" xlink:href=\"#DejaVuSans-110\"/>\r\n",
       "      <use x=\"718.835938\" xlink:href=\"#DejaVuSans-116\"/>\r\n",
       "      <use x=\"758.044922\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_33\">\r\n",
       "     <path d=\"M 29.175399 234.676604 \r\n",
       "L 45.175399 234.676604 \r\n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-dasharray:3.7,1.6;stroke-dashoffset:0;stroke-linejoin:miter;\"/>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_34\"/>\r\n",
       "    <g id=\"text_14\">\r\n",
       "     <!-- 95.0% pred. int. -->\r\n",
       "     <defs>\r\n",
       "      <path d=\"M 18.109375 8.203125 \r\n",
       "L 18.109375 -20.796875 \r\n",
       "L 9.078125 -20.796875 \r\n",
       "L 9.078125 54.6875 \r\n",
       "L 18.109375 54.6875 \r\n",
       "L 18.109375 46.390625 \r\n",
       "Q 20.953125 51.265625 25.265625 53.625 \r\n",
       "Q 29.59375 56 35.59375 56 \r\n",
       "Q 45.5625 56 51.78125 48.09375 \r\n",
       "Q 58.015625 40.1875 58.015625 27.296875 \r\n",
       "Q 58.015625 14.40625 51.78125 6.484375 \r\n",
       "Q 45.5625 -1.421875 35.59375 -1.421875 \r\n",
       "Q 29.59375 -1.421875 25.265625 0.953125 \r\n",
       "Q 20.953125 3.328125 18.109375 8.203125 \r\n",
       "z\r\n",
       "M 48.6875 27.296875 \r\n",
       "Q 48.6875 37.203125 44.609375 42.84375 \r\n",
       "Q 40.53125 48.484375 33.40625 48.484375 \r\n",
       "Q 26.265625 48.484375 22.1875 42.84375 \r\n",
       "Q 18.109375 37.203125 18.109375 27.296875 \r\n",
       "Q 18.109375 17.390625 22.1875 11.75 \r\n",
       "Q 26.265625 6.109375 33.40625 6.109375 \r\n",
       "Q 40.53125 6.109375 44.609375 11.75 \r\n",
       "Q 48.6875 17.390625 48.6875 27.296875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-112\"/>\r\n",
       "      <path d=\"M 45.40625 46.390625 \r\n",
       "L 45.40625 75.984375 \r\n",
       "L 54.390625 75.984375 \r\n",
       "L 54.390625 0 \r\n",
       "L 45.40625 0 \r\n",
       "L 45.40625 8.203125 \r\n",
       "Q 42.578125 3.328125 38.25 0.953125 \r\n",
       "Q 33.9375 -1.421875 27.875 -1.421875 \r\n",
       "Q 17.96875 -1.421875 11.734375 6.484375 \r\n",
       "Q 5.515625 14.40625 5.515625 27.296875 \r\n",
       "Q 5.515625 40.1875 11.734375 48.09375 \r\n",
       "Q 17.96875 56 27.875 56 \r\n",
       "Q 33.9375 56 38.25 53.625 \r\n",
       "Q 42.578125 51.265625 45.40625 46.390625 \r\n",
       "z\r\n",
       "M 14.796875 27.296875 \r\n",
       "Q 14.796875 17.390625 18.875 11.75 \r\n",
       "Q 22.953125 6.109375 30.078125 6.109375 \r\n",
       "Q 37.203125 6.109375 41.296875 11.75 \r\n",
       "Q 45.40625 17.390625 45.40625 27.296875 \r\n",
       "Q 45.40625 37.203125 41.296875 42.84375 \r\n",
       "Q 37.203125 48.484375 30.078125 48.484375 \r\n",
       "Q 22.953125 48.484375 18.875 42.84375 \r\n",
       "Q 14.796875 37.203125 14.796875 27.296875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-100\"/>\r\n",
       "     </defs>\r\n",
       "     <g transform=\"translate(51.575399 237.476604)scale(0.08 -0.08)\">\r\n",
       "      <use xlink:href=\"#DejaVuSans-57\"/>\r\n",
       "      <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\r\n",
       "      <use x=\"127.246094\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "      <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\r\n",
       "      <use x=\"222.65625\" xlink:href=\"#DejaVuSans-37\"/>\r\n",
       "      <use x=\"317.675781\" xlink:href=\"#DejaVuSans-32\"/>\r\n",
       "      <use x=\"349.462891\" xlink:href=\"#DejaVuSans-112\"/>\r\n",
       "      <use x=\"412.939453\" xlink:href=\"#DejaVuSans-114\"/>\r\n",
       "      <use x=\"454.021484\" xlink:href=\"#DejaVuSans-101\"/>\r\n",
       "      <use x=\"515.544922\" xlink:href=\"#DejaVuSans-100\"/>\r\n",
       "      <use x=\"579.021484\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "      <use x=\"610.808594\" xlink:href=\"#DejaVuSans-32\"/>\r\n",
       "      <use x=\"642.595703\" xlink:href=\"#DejaVuSans-105\"/>\r\n",
       "      <use x=\"670.378906\" xlink:href=\"#DejaVuSans-110\"/>\r\n",
       "      <use x=\"733.757812\" xlink:href=\"#DejaVuSans-116\"/>\r\n",
       "      <use x=\"772.966797\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_35\">\r\n",
       "     <path d=\"M 29.175399 246.419104 \r\n",
       "L 45.175399 246.419104 \r\n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linejoin:miter;stroke-opacity:0.85;\"/>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_36\"/>\r\n",
       "    <g id=\"text_15\">\r\n",
       "     <!-- true curve -->\r\n",
       "     <g transform=\"translate(51.575399 249.219104)scale(0.08 -0.08)\">\r\n",
       "      <use xlink:href=\"#DejaVuSans-116\"/>\r\n",
       "      <use x=\"39.208984\" xlink:href=\"#DejaVuSans-114\"/>\r\n",
       "      <use x=\"80.322266\" xlink:href=\"#DejaVuSans-117\"/>\r\n",
       "      <use x=\"143.701172\" xlink:href=\"#DejaVuSans-101\"/>\r\n",
       "      <use x=\"205.224609\" xlink:href=\"#DejaVuSans-32\"/>\r\n",
       "      <use x=\"237.011719\" xlink:href=\"#DejaVuSans-99\"/>\r\n",
       "      <use x=\"291.992188\" xlink:href=\"#DejaVuSans-117\"/>\r\n",
       "      <use x=\"355.371094\" xlink:href=\"#DejaVuSans-114\"/>\r\n",
       "      <use x=\"396.484375\" xlink:href=\"#DejaVuSans-118\"/>\r\n",
       "      <use x=\"455.664062\" xlink:href=\"#DejaVuSans-101\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_37\">\r\n",
       "     <path d=\"M 29.175399 258.161604 \r\n",
       "L 45.175399 258.161604 \r\n",
       "\" style=\"fill:none;\"/>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_38\">\r\n",
       "     <defs>\r\n",
       "      <path d=\"M 0 3.2 \r\n",
       "C 0.84865 3.2 1.662656 2.862828 2.262742 2.262742 \r\n",
       "C 2.862828 1.662656 3.2 0.84865 3.2 0 \r\n",
       "C 3.2 -0.84865 2.862828 -1.662656 2.262742 -2.262742 \r\n",
       "C 1.662656 -2.862828 0.84865 -3.2 0 -3.2 \r\n",
       "C -0.84865 -3.2 -1.662656 -2.862828 -2.262742 -2.262742 \r\n",
       "C -2.862828 -1.662656 -3.2 -0.84865 -3.2 0 \r\n",
       "C -3.2 0.84865 -2.862828 1.662656 -2.262742 2.262742 \r\n",
       "C -1.662656 2.862828 -0.84865 3.2 0 3.2 \r\n",
       "z\r\n",
       "\" id=\"m6e04bfa984\" style=\"stroke:#0000ff;stroke-opacity:0.5;stroke-width:1.6;\"/>\r\n",
       "     </defs>\r\n",
       "     <g>\r\n",
       "      <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;stroke-width:1.6;\" x=\"37.175399\" xlink:href=\"#m6e04bfa984\" y=\"258.161604\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"text_16\">\r\n",
       "     <!-- sample -->\r\n",
       "     <defs>\r\n",
       "      <path d=\"M 44.28125 53.078125 \r\n",
       "L 44.28125 44.578125 \r\n",
       "Q 40.484375 46.53125 36.375 47.5 \r\n",
       "Q 32.28125 48.484375 27.875 48.484375 \r\n",
       "Q 21.1875 48.484375 17.84375 46.4375 \r\n",
       "Q 14.5 44.390625 14.5 40.28125 \r\n",
       "Q 14.5 37.15625 16.890625 35.375 \r\n",
       "Q 19.28125 33.59375 26.515625 31.984375 \r\n",
       "L 29.59375 31.296875 \r\n",
       "Q 39.15625 29.25 43.1875 25.515625 \r\n",
       "Q 47.21875 21.78125 47.21875 15.09375 \r\n",
       "Q 47.21875 7.46875 41.1875 3.015625 \r\n",
       "Q 35.15625 -1.421875 24.609375 -1.421875 \r\n",
       "Q 20.21875 -1.421875 15.453125 -0.5625 \r\n",
       "Q 10.6875 0.296875 5.421875 2 \r\n",
       "L 5.421875 11.28125 \r\n",
       "Q 10.40625 8.6875 15.234375 7.390625 \r\n",
       "Q 20.0625 6.109375 24.8125 6.109375 \r\n",
       "Q 31.15625 6.109375 34.5625 8.28125 \r\n",
       "Q 37.984375 10.453125 37.984375 14.40625 \r\n",
       "Q 37.984375 18.0625 35.515625 20.015625 \r\n",
       "Q 33.0625 21.96875 24.703125 23.78125 \r\n",
       "L 21.578125 24.515625 \r\n",
       "Q 13.234375 26.265625 9.515625 29.90625 \r\n",
       "Q 5.8125 33.546875 5.8125 39.890625 \r\n",
       "Q 5.8125 47.609375 11.28125 51.796875 \r\n",
       "Q 16.75 56 26.8125 56 \r\n",
       "Q 31.78125 56 36.171875 55.265625 \r\n",
       "Q 40.578125 54.546875 44.28125 53.078125 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-115\"/>\r\n",
       "      <path d=\"M 34.28125 27.484375 \r\n",
       "Q 23.390625 27.484375 19.1875 25 \r\n",
       "Q 14.984375 22.515625 14.984375 16.5 \r\n",
       "Q 14.984375 11.71875 18.140625 8.90625 \r\n",
       "Q 21.296875 6.109375 26.703125 6.109375 \r\n",
       "Q 34.1875 6.109375 38.703125 11.40625 \r\n",
       "Q 43.21875 16.703125 43.21875 25.484375 \r\n",
       "L 43.21875 27.484375 \r\n",
       "z\r\n",
       "M 52.203125 31.203125 \r\n",
       "L 52.203125 0 \r\n",
       "L 43.21875 0 \r\n",
       "L 43.21875 8.296875 \r\n",
       "Q 40.140625 3.328125 35.546875 0.953125 \r\n",
       "Q 30.953125 -1.421875 24.3125 -1.421875 \r\n",
       "Q 15.921875 -1.421875 10.953125 3.296875 \r\n",
       "Q 6 8.015625 6 15.921875 \r\n",
       "Q 6 25.140625 12.171875 29.828125 \r\n",
       "Q 18.359375 34.515625 30.609375 34.515625 \r\n",
       "L 43.21875 34.515625 \r\n",
       "L 43.21875 35.40625 \r\n",
       "Q 43.21875 41.609375 39.140625 45 \r\n",
       "Q 35.0625 48.390625 27.6875 48.390625 \r\n",
       "Q 23 48.390625 18.546875 47.265625 \r\n",
       "Q 14.109375 46.140625 10.015625 43.890625 \r\n",
       "L 10.015625 52.203125 \r\n",
       "Q 14.9375 54.109375 19.578125 55.046875 \r\n",
       "Q 24.21875 56 28.609375 56 \r\n",
       "Q 40.484375 56 46.34375 49.84375 \r\n",
       "Q 52.203125 43.703125 52.203125 31.203125 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-97\"/>\r\n",
       "      <path d=\"M 52 44.1875 \r\n",
       "Q 55.375 50.25 60.0625 53.125 \r\n",
       "Q 64.75 56 71.09375 56 \r\n",
       "Q 79.640625 56 84.28125 50.015625 \r\n",
       "Q 88.921875 44.046875 88.921875 33.015625 \r\n",
       "L 88.921875 0 \r\n",
       "L 79.890625 0 \r\n",
       "L 79.890625 32.71875 \r\n",
       "Q 79.890625 40.578125 77.09375 44.375 \r\n",
       "Q 74.3125 48.1875 68.609375 48.1875 \r\n",
       "Q 61.625 48.1875 57.5625 43.546875 \r\n",
       "Q 53.515625 38.921875 53.515625 30.90625 \r\n",
       "L 53.515625 0 \r\n",
       "L 44.484375 0 \r\n",
       "L 44.484375 32.71875 \r\n",
       "Q 44.484375 40.625 41.703125 44.40625 \r\n",
       "Q 38.921875 48.1875 33.109375 48.1875 \r\n",
       "Q 26.21875 48.1875 22.15625 43.53125 \r\n",
       "Q 18.109375 38.875 18.109375 30.90625 \r\n",
       "L 18.109375 0 \r\n",
       "L 9.078125 0 \r\n",
       "L 9.078125 54.6875 \r\n",
       "L 18.109375 54.6875 \r\n",
       "L 18.109375 46.1875 \r\n",
       "Q 21.1875 51.21875 25.484375 53.609375 \r\n",
       "Q 29.78125 56 35.6875 56 \r\n",
       "Q 41.65625 56 45.828125 52.96875 \r\n",
       "Q 50 49.953125 52 44.1875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-109\"/>\r\n",
       "      <path d=\"M 9.421875 75.984375 \r\n",
       "L 18.40625 75.984375 \r\n",
       "L 18.40625 0 \r\n",
       "L 9.421875 0 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-108\"/>\r\n",
       "     </defs>\r\n",
       "     <g transform=\"translate(51.575399 260.961604)scale(0.08 -0.08)\">\r\n",
       "      <use xlink:href=\"#DejaVuSans-115\"/>\r\n",
       "      <use x=\"52.099609\" xlink:href=\"#DejaVuSans-97\"/>\r\n",
       "      <use x=\"113.378906\" xlink:href=\"#DejaVuSans-109\"/>\r\n",
       "      <use x=\"210.791016\" xlink:href=\"#DejaVuSans-112\"/>\r\n",
       "      <use x=\"274.267578\" xlink:href=\"#DejaVuSans-108\"/>\r\n",
       "      <use x=\"302.050781\" xlink:href=\"#DejaVuSans-101\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "   </g>\r\n",
       "  </g>\r\n",
       " </g>\r\n",
       " <defs>\r\n",
       "  <clipPath id=\"pc8c3777f46\">\r\n",
       "   <rect height=\"266.590709\" width=\"410.389955\" x=\"18.775399\" y=\"6.434646\"/>\r\n",
       "  </clipPath>\r\n",
       " </defs>\r\n",
       "</svg>\r\n"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "n = 2^5\n",
    "x = range(0, 10, length=n)\n",
    "F = [one, identity, x->x^2]\n",
    "b = [5, -2, 0.2]\n",
    "σ = 0.5\n",
    "f_true = reg_func(F, b)\n",
    "\n",
    "seed!(4649)\n",
    "y = f_true.(x) + σ*randn(n)\n",
    "\n",
    "plot_linear_regression(F, x, f_true; b=b, σ=σ, y=y, xs=range(-0.5, 10.5, length=400), ylim=(-2, 8))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "b = [5.0, -2.0, 0.2]\n",
      "σ = 0.5\n",
      "\n",
      "b̂ = [5.33668986461604, -0.5338812683011727, -4.871744833070539, 7.308570615940025, -5.416405452144519, 2.2571387538141496, -0.5598990987201361, 0.08441719974829395, -0.007584268101515659, 0.0003731377363355991, -7.734936121594632e-6]\n",
      "û = 0.5404023143393804\n"
     ]
    },
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\r\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\r\n",
       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\r\n",
       "<!-- Created with matplotlib (https://matplotlib.org/) -->\r\n",
       "<svg height=\"288pt\" version=\"1.1\" viewBox=\"0 0 432 288\" width=\"432pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\r\n",
       " <defs>\r\n",
       "  <style type=\"text/css\">\r\n",
       "*{stroke-linecap:butt;stroke-linejoin:round;}\r\n",
       "  </style>\r\n",
       " </defs>\r\n",
       " <g id=\"figure_1\">\r\n",
       "  <g id=\"patch_1\">\r\n",
       "   <path d=\"M 0 288 \r\n",
       "L 432 288 \r\n",
       "L 432 0 \r\n",
       "L 0 0 \r\n",
       "z\r\n",
       "\" style=\"fill:#ffffff;\"/>\r\n",
       "  </g>\r\n",
       "  <g id=\"axes_1\">\r\n",
       "   <g id=\"patch_2\">\r\n",
       "    <path d=\"M 18.775399 273.025354 \r\n",
       "L 429.165354 273.025354 \r\n",
       "L 429.165354 6.434646 \r\n",
       "L 18.775399 6.434646 \r\n",
       "z\r\n",
       "\" style=\"fill:#ffffff;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"matplotlib.axis_1\">\r\n",
       "    <g id=\"xtick_1\">\r\n",
       "     <g id=\"line2d_1\">\r\n",
       "      <path clip-path=\"url(#pe3e73a59b4)\" d=\"M 47.988406 273.025354 \r\n",
       "L 47.988406 6.434646 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_2\">\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 0 0 \r\n",
       "L 0 -2.5 \r\n",
       "\" id=\"ma96fe7f1a5\" style=\"stroke:#000000;stroke-width:0.5;\"/>\r\n",
       "      </defs>\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"47.988406\" xlink:href=\"#ma96fe7f1a5\" y=\"273.025354\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_1\">\r\n",
       "      <!-- $\\mathregular{0.0}$ -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 31.78125 66.40625 \r\n",
       "Q 24.171875 66.40625 20.328125 58.90625 \r\n",
       "Q 16.5 51.421875 16.5 36.375 \r\n",
       "Q 16.5 21.390625 20.328125 13.890625 \r\n",
       "Q 24.171875 6.390625 31.78125 6.390625 \r\n",
       "Q 39.453125 6.390625 43.28125 13.890625 \r\n",
       "Q 47.125 21.390625 47.125 36.375 \r\n",
       "Q 47.125 51.421875 43.28125 58.90625 \r\n",
       "Q 39.453125 66.40625 31.78125 66.40625 \r\n",
       "z\r\n",
       "M 31.78125 74.21875 \r\n",
       "Q 44.046875 74.21875 50.515625 64.515625 \r\n",
       "Q 56.984375 54.828125 56.984375 36.375 \r\n",
       "Q 56.984375 17.96875 50.515625 8.265625 \r\n",
       "Q 44.046875 -1.421875 31.78125 -1.421875 \r\n",
       "Q 19.53125 -1.421875 13.0625 8.265625 \r\n",
       "Q 6.59375 17.96875 6.59375 36.375 \r\n",
       "Q 6.59375 54.828125 13.0625 64.515625 \r\n",
       "Q 19.53125 74.21875 31.78125 74.21875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-48\"/>\r\n",
       "       <path d=\"M 10.6875 12.40625 \r\n",
       "L 21 12.40625 \r\n",
       "L 21 0 \r\n",
       "L 10.6875 0 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-46\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(41.588406 282.604104)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\r\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "       <use transform=\"translate(95.410156 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_2\">\r\n",
       "     <g id=\"line2d_3\">\r\n",
       "      <path clip-path=\"url(#pe3e73a59b4)\" d=\"M 135.979391 273.025354 \r\n",
       "L 135.979391 6.434646 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_4\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"135.979391\" xlink:href=\"#ma96fe7f1a5\" y=\"273.025354\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_2\">\r\n",
       "      <!-- $\\mathregular{2.5}$ -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 19.1875 8.296875 \r\n",
       "L 53.609375 8.296875 \r\n",
       "L 53.609375 0 \r\n",
       "L 7.328125 0 \r\n",
       "L 7.328125 8.296875 \r\n",
       "Q 12.9375 14.109375 22.625 23.890625 \r\n",
       "Q 32.328125 33.6875 34.8125 36.53125 \r\n",
       "Q 39.546875 41.84375 41.421875 45.53125 \r\n",
       "Q 43.3125 49.21875 43.3125 52.78125 \r\n",
       "Q 43.3125 58.59375 39.234375 62.25 \r\n",
       "Q 35.15625 65.921875 28.609375 65.921875 \r\n",
       "Q 23.96875 65.921875 18.8125 64.3125 \r\n",
       "Q 13.671875 62.703125 7.8125 59.421875 \r\n",
       "L 7.8125 69.390625 \r\n",
       "Q 13.765625 71.78125 18.9375 73 \r\n",
       "Q 24.125 74.21875 28.421875 74.21875 \r\n",
       "Q 39.75 74.21875 46.484375 68.546875 \r\n",
       "Q 53.21875 62.890625 53.21875 53.421875 \r\n",
       "Q 53.21875 48.921875 51.53125 44.890625 \r\n",
       "Q 49.859375 40.875 45.40625 35.40625 \r\n",
       "Q 44.1875 33.984375 37.640625 27.21875 \r\n",
       "Q 31.109375 20.453125 19.1875 8.296875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-50\"/>\r\n",
       "       <path d=\"M 10.796875 72.90625 \r\n",
       "L 49.515625 72.90625 \r\n",
       "L 49.515625 64.59375 \r\n",
       "L 19.828125 64.59375 \r\n",
       "L 19.828125 46.734375 \r\n",
       "Q 21.96875 47.46875 24.109375 47.828125 \r\n",
       "Q 26.265625 48.1875 28.421875 48.1875 \r\n",
       "Q 40.625 48.1875 47.75 41.5 \r\n",
       "Q 54.890625 34.8125 54.890625 23.390625 \r\n",
       "Q 54.890625 11.625 47.5625 5.09375 \r\n",
       "Q 40.234375 -1.421875 26.90625 -1.421875 \r\n",
       "Q 22.3125 -1.421875 17.546875 -0.640625 \r\n",
       "Q 12.796875 0.140625 7.71875 1.703125 \r\n",
       "L 7.71875 11.625 \r\n",
       "Q 12.109375 9.234375 16.796875 8.0625 \r\n",
       "Q 21.484375 6.890625 26.703125 6.890625 \r\n",
       "Q 35.15625 6.890625 40.078125 11.328125 \r\n",
       "Q 45.015625 15.765625 45.015625 23.390625 \r\n",
       "Q 45.015625 31 40.078125 35.4375 \r\n",
       "Q 35.15625 39.890625 26.703125 39.890625 \r\n",
       "Q 22.75 39.890625 18.8125 39.015625 \r\n",
       "Q 14.890625 38.140625 10.796875 36.28125 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-53\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(129.579391 282.604104)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-50\"/>\r\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "       <use transform=\"translate(95.410156 0.78125)\" xlink:href=\"#DejaVuSans-53\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_3\">\r\n",
       "     <g id=\"line2d_5\">\r\n",
       "      <path clip-path=\"url(#pe3e73a59b4)\" d=\"M 223.970377 273.025354 \r\n",
       "L 223.970377 6.434646 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_6\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"223.970377\" xlink:href=\"#ma96fe7f1a5\" y=\"273.025354\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_3\">\r\n",
       "      <!-- $\\mathregular{5.0}$ -->\r\n",
       "      <g transform=\"translate(217.570377 282.604104)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-53\"/>\r\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "       <use transform=\"translate(95.410156 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_4\">\r\n",
       "     <g id=\"line2d_7\">\r\n",
       "      <path clip-path=\"url(#pe3e73a59b4)\" d=\"M 311.961362 273.025354 \r\n",
       "L 311.961362 6.434646 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_8\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"311.961362\" xlink:href=\"#ma96fe7f1a5\" y=\"273.025354\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_4\">\r\n",
       "      <!-- $\\mathregular{7.5}$ -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 8.203125 72.90625 \r\n",
       "L 55.078125 72.90625 \r\n",
       "L 55.078125 68.703125 \r\n",
       "L 28.609375 0 \r\n",
       "L 18.3125 0 \r\n",
       "L 43.21875 64.59375 \r\n",
       "L 8.203125 64.59375 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-55\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(305.561362 282.604104)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.09375)\" xlink:href=\"#DejaVuSans-55\"/>\r\n",
       "       <use transform=\"translate(63.623047 0.09375)\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "       <use transform=\"translate(95.410156 0.09375)\" xlink:href=\"#DejaVuSans-53\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_5\">\r\n",
       "     <g id=\"line2d_9\">\r\n",
       "      <path clip-path=\"url(#pe3e73a59b4)\" d=\"M 399.952347 273.025354 \r\n",
       "L 399.952347 6.434646 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_10\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"399.952347\" xlink:href=\"#ma96fe7f1a5\" y=\"273.025354\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_5\">\r\n",
       "      <!-- $\\mathregular{10.0}$ -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 12.40625 8.296875 \r\n",
       "L 28.515625 8.296875 \r\n",
       "L 28.515625 63.921875 \r\n",
       "L 10.984375 60.40625 \r\n",
       "L 10.984375 69.390625 \r\n",
       "L 28.421875 72.90625 \r\n",
       "L 38.28125 72.90625 \r\n",
       "L 38.28125 8.296875 \r\n",
       "L 54.390625 8.296875 \r\n",
       "L 54.390625 0 \r\n",
       "L 12.40625 0 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-49\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(391.032347 282.604104)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-49\"/>\r\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\r\n",
       "       <use transform=\"translate(127.246094 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "       <use transform=\"translate(159.033203 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "   </g>\r\n",
       "   <g id=\"matplotlib.axis_2\">\r\n",
       "    <g id=\"ytick_1\">\r\n",
       "     <g id=\"line2d_11\">\r\n",
       "      <path clip-path=\"url(#pe3e73a59b4)\" d=\"M 18.775399 273.025354 \r\n",
       "L 429.165354 273.025354 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_12\">\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 0 0 \r\n",
       "L 2.5 0 \r\n",
       "\" id=\"me7dd099b0b\" style=\"stroke:#000000;stroke-width:0.5;\"/>\r\n",
       "      </defs>\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"18.775399\" xlink:href=\"#me7dd099b0b\" y=\"273.025354\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_6\">\r\n",
       "      <!-- $\\mathregular{-2}$ -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 10.59375 35.5 \r\n",
       "L 73.1875 35.5 \r\n",
       "L 73.1875 27.203125 \r\n",
       "L 10.59375 27.203125 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-8722\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(3.435399 276.064729)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-8722\"/>\r\n",
       "       <use transform=\"translate(83.789062 0.78125)\" xlink:href=\"#DejaVuSans-50\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_2\">\r\n",
       "     <g id=\"line2d_13\">\r\n",
       "      <path clip-path=\"url(#pe3e73a59b4)\" d=\"M 18.775399 219.707213 \r\n",
       "L 429.165354 219.707213 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_14\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"18.775399\" xlink:href=\"#me7dd099b0b\" y=\"219.707213\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_7\">\r\n",
       "      <!-- $\\mathregular{0}$ -->\r\n",
       "      <g transform=\"translate(10.155399 222.746588)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_3\">\r\n",
       "     <g id=\"line2d_15\">\r\n",
       "      <path clip-path=\"url(#pe3e73a59b4)\" d=\"M 18.775399 166.389071 \r\n",
       "L 429.165354 166.389071 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_16\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"18.775399\" xlink:href=\"#me7dd099b0b\" y=\"166.389071\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_8\">\r\n",
       "      <!-- $\\mathregular{2}$ -->\r\n",
       "      <g transform=\"translate(10.155399 169.428446)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-50\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_4\">\r\n",
       "     <g id=\"line2d_17\">\r\n",
       "      <path clip-path=\"url(#pe3e73a59b4)\" d=\"M 18.775399 113.070929 \r\n",
       "L 429.165354 113.070929 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_18\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"18.775399\" xlink:href=\"#me7dd099b0b\" y=\"113.070929\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_9\">\r\n",
       "      <!-- $\\mathregular{4}$ -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 37.796875 64.3125 \r\n",
       "L 12.890625 25.390625 \r\n",
       "L 37.796875 25.390625 \r\n",
       "z\r\n",
       "M 35.203125 72.90625 \r\n",
       "L 47.609375 72.90625 \r\n",
       "L 47.609375 25.390625 \r\n",
       "L 58.015625 25.390625 \r\n",
       "L 58.015625 17.1875 \r\n",
       "L 47.609375 17.1875 \r\n",
       "L 47.609375 0 \r\n",
       "L 37.796875 0 \r\n",
       "L 37.796875 17.1875 \r\n",
       "L 4.890625 17.1875 \r\n",
       "L 4.890625 26.703125 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-52\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(10.155399 116.110304)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.09375)\" xlink:href=\"#DejaVuSans-52\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_5\">\r\n",
       "     <g id=\"line2d_19\">\r\n",
       "      <path clip-path=\"url(#pe3e73a59b4)\" d=\"M 18.775399 59.752787 \r\n",
       "L 429.165354 59.752787 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_20\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"18.775399\" xlink:href=\"#me7dd099b0b\" y=\"59.752787\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_10\">\r\n",
       "      <!-- $\\mathregular{6}$ -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 33.015625 40.375 \r\n",
       "Q 26.375 40.375 22.484375 35.828125 \r\n",
       "Q 18.609375 31.296875 18.609375 23.390625 \r\n",
       "Q 18.609375 15.53125 22.484375 10.953125 \r\n",
       "Q 26.375 6.390625 33.015625 6.390625 \r\n",
       "Q 39.65625 6.390625 43.53125 10.953125 \r\n",
       "Q 47.40625 15.53125 47.40625 23.390625 \r\n",
       "Q 47.40625 31.296875 43.53125 35.828125 \r\n",
       "Q 39.65625 40.375 33.015625 40.375 \r\n",
       "z\r\n",
       "M 52.59375 71.296875 \r\n",
       "L 52.59375 62.3125 \r\n",
       "Q 48.875 64.0625 45.09375 64.984375 \r\n",
       "Q 41.3125 65.921875 37.59375 65.921875 \r\n",
       "Q 27.828125 65.921875 22.671875 59.328125 \r\n",
       "Q 17.53125 52.734375 16.796875 39.40625 \r\n",
       "Q 19.671875 43.65625 24.015625 45.921875 \r\n",
       "Q 28.375 48.1875 33.59375 48.1875 \r\n",
       "Q 44.578125 48.1875 50.953125 41.515625 \r\n",
       "Q 57.328125 34.859375 57.328125 23.390625 \r\n",
       "Q 57.328125 12.15625 50.6875 5.359375 \r\n",
       "Q 44.046875 -1.421875 33.015625 -1.421875 \r\n",
       "Q 20.359375 -1.421875 13.671875 8.265625 \r\n",
       "Q 6.984375 17.96875 6.984375 36.375 \r\n",
       "Q 6.984375 53.65625 15.1875 63.9375 \r\n",
       "Q 23.390625 74.21875 37.203125 74.21875 \r\n",
       "Q 40.921875 74.21875 44.703125 73.484375 \r\n",
       "Q 48.484375 72.75 52.59375 71.296875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-54\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(10.155399 62.792162)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-54\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_6\">\r\n",
       "     <g id=\"line2d_21\">\r\n",
       "      <path clip-path=\"url(#pe3e73a59b4)\" d=\"M 18.775399 6.434646 \r\n",
       "L 429.165354 6.434646 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_22\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"18.775399\" xlink:href=\"#me7dd099b0b\" y=\"6.434646\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_11\">\r\n",
       "      <!-- $\\mathregular{8}$ -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 31.78125 34.625 \r\n",
       "Q 24.75 34.625 20.71875 30.859375 \r\n",
       "Q 16.703125 27.09375 16.703125 20.515625 \r\n",
       "Q 16.703125 13.921875 20.71875 10.15625 \r\n",
       "Q 24.75 6.390625 31.78125 6.390625 \r\n",
       "Q 38.8125 6.390625 42.859375 10.171875 \r\n",
       "Q 46.921875 13.96875 46.921875 20.515625 \r\n",
       "Q 46.921875 27.09375 42.890625 30.859375 \r\n",
       "Q 38.875 34.625 31.78125 34.625 \r\n",
       "z\r\n",
       "M 21.921875 38.8125 \r\n",
       "Q 15.578125 40.375 12.03125 44.71875 \r\n",
       "Q 8.5 49.078125 8.5 55.328125 \r\n",
       "Q 8.5 64.0625 14.71875 69.140625 \r\n",
       "Q 20.953125 74.21875 31.78125 74.21875 \r\n",
       "Q 42.671875 74.21875 48.875 69.140625 \r\n",
       "Q 55.078125 64.0625 55.078125 55.328125 \r\n",
       "Q 55.078125 49.078125 51.53125 44.71875 \r\n",
       "Q 48 40.375 41.703125 38.8125 \r\n",
       "Q 48.828125 37.15625 52.796875 32.3125 \r\n",
       "Q 56.78125 27.484375 56.78125 20.515625 \r\n",
       "Q 56.78125 9.90625 50.3125 4.234375 \r\n",
       "Q 43.84375 -1.421875 31.78125 -1.421875 \r\n",
       "Q 19.734375 -1.421875 13.25 4.234375 \r\n",
       "Q 6.78125 9.90625 6.78125 20.515625 \r\n",
       "Q 6.78125 27.484375 10.78125 32.3125 \r\n",
       "Q 14.796875 37.15625 21.921875 38.8125 \r\n",
       "z\r\n",
       "M 18.3125 54.390625 \r\n",
       "Q 18.3125 48.734375 21.84375 45.5625 \r\n",
       "Q 25.390625 42.390625 31.78125 42.390625 \r\n",
       "Q 38.140625 42.390625 41.71875 45.5625 \r\n",
       "Q 45.3125 48.734375 45.3125 54.390625 \r\n",
       "Q 45.3125 60.0625 41.71875 63.234375 \r\n",
       "Q 38.140625 66.40625 31.78125 66.40625 \r\n",
       "Q 25.390625 66.40625 21.84375 63.234375 \r\n",
       "Q 18.3125 60.0625 18.3125 54.390625 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-56\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(10.155399 9.474021)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-56\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_23\">\r\n",
       "    <path clip-path=\"url(#pe3e73a59b4)\" d=\"M 30.390209 138.300441 \r\n",
       "L 32.330862 120.788249 \r\n",
       "L 33.301189 113.494396 \r\n",
       "L 34.271516 107.076176 \r\n",
       "L 35.241842 101.464705 \r\n",
       "L 36.212169 96.595271 \r\n",
       "L 37.182495 92.407137 \r\n",
       "L 38.152822 88.843353 \r\n",
       "L 39.123149 85.850584 \r\n",
       "L 40.093475 83.378926 \r\n",
       "L 41.063802 81.381746 \r\n",
       "L 42.034129 79.81552 \r\n",
       "L 43.004455 78.639673 \r\n",
       "L 43.974782 77.816435 \r\n",
       "L 44.945109 77.310695 \r\n",
       "L 45.915435 77.089862 \r\n",
       "L 46.885762 77.123731 \r\n",
       "L 47.856089 77.384359 \r\n",
       "L 48.826415 77.845937 \r\n",
       "L 49.796742 78.484677 \r\n",
       "L 51.737395 80.2079 \r\n",
       "L 53.678049 82.39989 \r\n",
       "L 55.618702 84.932018 \r\n",
       "L 58.529682 89.14131 \r\n",
       "L 72.114255 109.633381 \r\n",
       "L 75.995562 114.889644 \r\n",
       "L 79.876868 119.81419 \r\n",
       "L 84.728502 125.603294 \r\n",
       "L 92.491115 134.420189 \r\n",
       "L 101.224055 144.383534 \r\n",
       "L 108.016341 152.510026 \r\n",
       "L 114.808628 161.013557 \r\n",
       "L 133.244834 184.412303 \r\n",
       "L 138.096468 190.077938 \r\n",
       "L 141.977774 194.302876 \r\n",
       "L 145.859081 198.200282 \r\n",
       "L 149.740387 201.730731 \r\n",
       "L 152.651367 204.120481 \r\n",
       "L 155.562347 206.280582 \r\n",
       "L 158.473327 208.207754 \r\n",
       "L 161.384307 209.902673 \r\n",
       "L 164.295287 211.369846 \r\n",
       "L 167.206267 212.617395 \r\n",
       "L 170.117247 213.656772 \r\n",
       "L 173.028227 214.502398 \r\n",
       "L 176.909534 215.358152 \r\n",
       "L 180.79084 215.945644 \r\n",
       "L 184.672147 216.315107 \r\n",
       "L 189.52378 216.550271 \r\n",
       "L 197.286394 216.639992 \r\n",
       "L 207.959987 216.767361 \r\n",
       "L 213.781947 217.044767 \r\n",
       "L 219.603907 217.523495 \r\n",
       "L 226.396193 218.302814 \r\n",
       "L 240.951093 220.071746 \r\n",
       "L 245.802726 220.368245 \r\n",
       "L 249.684033 220.374578 \r\n",
       "L 253.56534 220.112921 \r\n",
       "L 256.47632 219.707434 \r\n",
       "L 259.387299 219.098577 \r\n",
       "L 262.298279 218.267113 \r\n",
       "L 265.209259 217.196599 \r\n",
       "L 268.120239 215.873913 \r\n",
       "L 271.031219 214.289723 \r\n",
       "L 273.942199 212.4389 \r\n",
       "L 276.853179 210.320865 \r\n",
       "L 279.764159 207.939838 \r\n",
       "L 282.675139 205.305005 \r\n",
       "L 286.556446 201.422353 \r\n",
       "L 290.437752 197.161631 \r\n",
       "L 294.319059 192.584946 \r\n",
       "L 299.170692 186.535608 \r\n",
       "L 315.666245 165.562613 \r\n",
       "L 319.547552 161.0783 \r\n",
       "L 323.428859 156.939078 \r\n",
       "L 327.310165 153.199837 \r\n",
       "L 330.221145 150.676971 \r\n",
       "L 333.132125 148.39821 \r\n",
       "L 336.043105 146.354543 \r\n",
       "L 339.924412 143.958009 \r\n",
       "L 343.805718 141.858584 \r\n",
       "L 356.419965 135.357188 \r\n",
       "L 359.330945 133.443996 \r\n",
       "L 362.241925 131.176549 \r\n",
       "L 364.182578 129.420617 \r\n",
       "L 366.123232 127.437967 \r\n",
       "L 368.063885 125.204523 \r\n",
       "L 370.004538 122.699797 \r\n",
       "L 371.945191 119.908101 \r\n",
       "L 373.885845 116.819904 \r\n",
       "L 375.826498 113.43336 \r\n",
       "L 378.737478 107.813676 \r\n",
       "L 381.648458 101.617614 \r\n",
       "L 385.529765 92.730077 \r\n",
       "L 390.381398 81.546093 \r\n",
       "L 392.322051 77.452789 \r\n",
       "L 394.262705 73.838675 \r\n",
       "L 396.203358 70.927702 \r\n",
       "L 397.173685 69.817117 \r\n",
       "L 398.144011 68.985399 \r\n",
       "L 399.114338 68.473025 \r\n",
       "L 400.084664 68.323696 \r\n",
       "L 401.054991 68.584507 \r\n",
       "L 402.025318 69.306125 \r\n",
       "L 402.995644 70.542973 \r\n",
       "L 403.965971 72.353424 \r\n",
       "L 404.936298 74.799999 \r\n",
       "L 405.906624 77.949572 \r\n",
       "L 406.876951 81.873583 \r\n",
       "L 407.847278 86.648262 \r\n",
       "L 408.817604 92.354855 \r\n",
       "L 409.787931 99.079862 \r\n",
       "L 410.758258 106.915281 \r\n",
       "L 411.728584 115.958859 \r\n",
       "L 412.698911 126.314361 \r\n",
       "L 413.669238 138.091831 \r\n",
       "L 414.639564 151.40788 \r\n",
       "L 415.609891 166.385967 \r\n",
       "L 416.580218 183.156705 \r\n",
       "L 417.550544 201.858163 \r\n",
       "L 417.550544 201.858163 \r\n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-width:2;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_24\">\r\n",
       "    <path clip-path=\"url(#pe3e73a59b4)\" d=\"M 36.759434 289 \r\n",
       "L 38.152822 247.911644 \r\n",
       "L 40.093475 201.40445 \r\n",
       "L 41.063802 182.127724 \r\n",
       "L 42.034129 165.261948 \r\n",
       "L 43.004455 150.651392 \r\n",
       "L 43.974782 138.162605 \r\n",
       "L 44.945109 127.687156 \r\n",
       "L 45.915435 119.143327 \r\n",
       "L 46.885762 112.472662 \r\n",
       "L 47.856089 107.623127 \r\n",
       "L 48.826415 104.510046 \r\n",
       "L 49.796742 102.962681 \r\n",
       "L 50.767069 102.697966 \r\n",
       "L 51.737395 103.361227 \r\n",
       "L 52.707722 104.608091 \r\n",
       "L 54.648375 107.840145 \r\n",
       "L 56.589029 111.12593 \r\n",
       "L 58.529682 114.026796 \r\n",
       "L 60.470335 116.481478 \r\n",
       "L 62.410989 118.576975 \r\n",
       "L 66.292295 122.24604 \r\n",
       "L 69.203275 125.056562 \r\n",
       "L 72.114255 128.224836 \r\n",
       "L 75.025235 131.77548 \r\n",
       "L 84.728502 144.054986 \r\n",
       "L 87.639482 147.308766 \r\n",
       "L 91.520788 151.287087 \r\n",
       "L 103.164708 162.756376 \r\n",
       "L 107.046015 167.09032 \r\n",
       "L 110.927321 171.791945 \r\n",
       "L 115.778955 178.039287 \r\n",
       "L 126.452548 191.902585 \r\n",
       "L 131.304181 197.76097 \r\n",
       "L 135.185488 202.145172 \r\n",
       "L 139.066794 206.252897 \r\n",
       "L 142.948101 210.093614 \r\n",
       "L 146.829408 213.67649 \r\n",
       "L 150.710714 216.997187 \r\n",
       "L 154.592021 220.03145 \r\n",
       "L 158.473327 222.738412 \r\n",
       "L 161.384307 224.525854 \r\n",
       "L 164.295287 226.086114 \r\n",
       "L 167.206267 227.407924 \r\n",
       "L 170.117247 228.487651 \r\n",
       "L 173.028227 229.330335 \r\n",
       "L 175.939207 229.949862 \r\n",
       "L 178.850187 230.368421 \r\n",
       "L 182.731494 230.665422 \r\n",
       "L 187.583127 230.737001 \r\n",
       "L 204.07868 230.624854 \r\n",
       "L 209.90064 230.969625 \r\n",
       "L 216.692927 231.639099 \r\n",
       "L 236.09946 233.76705 \r\n",
       "L 241.92142 234.147982 \r\n",
       "L 246.773053 234.28995 \r\n",
       "L 251.624686 234.202302 \r\n",
       "L 255.505993 233.896567 \r\n",
       "L 258.416973 233.483805 \r\n",
       "L 261.327953 232.876675 \r\n",
       "L 264.238933 232.04149 \r\n",
       "L 267.149913 230.947177 \r\n",
       "L 270.060893 229.567874 \r\n",
       "L 272.971873 227.885205 \r\n",
       "L 275.882853 225.890084 \r\n",
       "L 278.793833 223.583987 \r\n",
       "L 281.704813 220.979619 \r\n",
       "L 284.615793 218.100875 \r\n",
       "L 288.497099 213.896163 \r\n",
       "L 293.348732 208.200298 \r\n",
       "L 301.111346 198.606163 \r\n",
       "L 308.873959 189.099355 \r\n",
       "L 314.695919 182.303816 \r\n",
       "L 319.547552 176.94488 \r\n",
       "L 324.399185 171.933393 \r\n",
       "L 328.280492 168.243664 \r\n",
       "L 331.191472 165.710614 \r\n",
       "L 334.102452 163.418357 \r\n",
       "L 337.013432 161.401113 \r\n",
       "L 339.924412 159.68165 \r\n",
       "L 342.835392 158.258785 \r\n",
       "L 345.746372 157.095009 \r\n",
       "L 350.598005 155.491004 \r\n",
       "L 354.479312 154.14395 \r\n",
       "L 357.390292 152.837925 \r\n",
       "L 359.330945 151.733128 \r\n",
       "L 361.271598 150.390215 \r\n",
       "L 363.212252 148.775713 \r\n",
       "L 365.152905 146.869296 \r\n",
       "L 367.093558 144.667683 \r\n",
       "L 369.034212 142.187951 \r\n",
       "L 371.945191 138.037177 \r\n",
       "L 375.826498 132.024944 \r\n",
       "L 383.589111 119.560832 \r\n",
       "L 386.500091 114.415865 \r\n",
       "L 388.440745 110.624018 \r\n",
       "L 391.351725 104.283996 \r\n",
       "L 394.262705 97.601481 \r\n",
       "L 395.233031 95.632705 \r\n",
       "L 396.203358 94.080289 \r\n",
       "L 397.173685 93.236099 \r\n",
       "L 398.144011 93.463398 \r\n",
       "L 399.114338 95.137103 \r\n",
       "L 400.084664 98.561995 \r\n",
       "L 401.054991 103.932103 \r\n",
       "L 402.025318 111.356995 \r\n",
       "L 402.995644 120.915227 \r\n",
       "L 403.965971 132.693448 \r\n",
       "L 404.936298 146.803314 \r\n",
       "L 405.906624 163.385012 \r\n",
       "L 406.876951 182.605648 \r\n",
       "L 407.847278 204.656588 \r\n",
       "L 408.817604 229.751184 \r\n",
       "L 409.787931 258.123198 \r\n",
       "L 410.727056 289 \r\n",
       "L 410.727056 289 \r\n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-dasharray:1,1.65;stroke-dashoffset:0;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_3\">\r\n",
       "    <path d=\"M 18.775399 273.025354 \r\n",
       "L 18.775399 6.434646 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_4\">\r\n",
       "    <path d=\"M 18.775399 273.025354 \r\n",
       "L 429.165354 273.025354 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_25\">\r\n",
       "    <path clip-path=\"url(#pe3e73a59b4)\" d=\"M 42.400679 -1 \r\n",
       "L 43.004455 6.627953 \r\n",
       "L 43.974782 17.470265 \r\n",
       "L 44.945109 26.934234 \r\n",
       "L 45.915435 35.036396 \r\n",
       "L 46.885762 41.774799 \r\n",
       "L 47.856089 47.14559 \r\n",
       "L 48.826415 51.181828 \r\n",
       "L 49.796742 54.006673 \r\n",
       "L 50.767069 55.859422 \r\n",
       "L 51.737395 57.054574 \r\n",
       "L 53.678049 58.635449 \r\n",
       "L 55.618702 60.34735 \r\n",
       "L 56.589029 61.45741 \r\n",
       "L 57.559355 62.762779 \r\n",
       "L 59.500009 65.917549 \r\n",
       "L 61.440662 69.642674 \r\n",
       "L 65.321968 77.89283 \r\n",
       "L 68.232948 83.964632 \r\n",
       "L 70.173602 87.677985 \r\n",
       "L 72.114255 91.041926 \r\n",
       "L 74.054908 94.054152 \r\n",
       "L 75.995562 96.760395 \r\n",
       "L 78.906542 100.409801 \r\n",
       "L 92.491115 116.604755 \r\n",
       "L 99.283401 125.484539 \r\n",
       "L 107.046015 135.558773 \r\n",
       "L 117.719608 148.887971 \r\n",
       "L 125.482221 158.778783 \r\n",
       "L 137.126141 173.719084 \r\n",
       "L 141.007448 178.345272 \r\n",
       "L 144.888754 182.600843 \r\n",
       "L 147.799734 185.494969 \r\n",
       "L 150.710714 188.107741 \r\n",
       "L 153.621694 190.430775 \r\n",
       "L 156.532674 192.46903 \r\n",
       "L 159.443654 194.238263 \r\n",
       "L 162.354634 195.761534 \r\n",
       "L 165.265614 197.065633 \r\n",
       "L 169.146921 198.510706 \r\n",
       "L 173.028227 199.674461 \r\n",
       "L 176.909534 200.605908 \r\n",
       "L 180.79084 201.341236 \r\n",
       "L 185.642474 202.020732 \r\n",
       "L 190.494107 202.461589 \r\n",
       "L 195.34574 202.691642 \r\n",
       "L 202.138027 202.750607 \r\n",
       "L 213.781947 202.764134 \r\n",
       "L 218.63358 202.997164 \r\n",
       "L 223.485213 203.447319 \r\n",
       "L 229.307173 204.248742 \r\n",
       "L 241.92142 206.155681 \r\n",
       "L 245.802726 206.459242 \r\n",
       "L 248.713706 206.504286 \r\n",
       "L 251.624686 206.35928 \r\n",
       "L 254.535666 206.001319 \r\n",
       "L 257.446646 205.414857 \r\n",
       "L 260.357626 204.591307 \r\n",
       "L 263.268606 203.527888 \r\n",
       "L 266.179586 202.226062 \r\n",
       "L 269.090566 200.68988 \r\n",
       "L 272.001546 198.924494 \r\n",
       "L 274.912526 196.934965 \r\n",
       "L 277.823506 194.725432 \r\n",
       "L 280.734486 192.298693 \r\n",
       "L 284.615793 188.727635 \r\n",
       "L 288.497099 184.775238 \r\n",
       "L 292.378406 180.447865 \r\n",
       "L 296.259712 175.766066 \r\n",
       "L 301.111346 169.490395 \r\n",
       "L 308.873959 158.919512 \r\n",
       "L 314.695919 151.154694 \r\n",
       "L 318.577225 146.347823 \r\n",
       "L 321.488205 143.02948 \r\n",
       "L 324.399185 139.996871 \r\n",
       "L 327.310165 137.264486 \r\n",
       "L 330.221145 134.823915 \r\n",
       "L 333.132125 132.642972 \r\n",
       "L 337.013432 130.043593 \r\n",
       "L 344.776045 125.275107 \r\n",
       "L 350.598005 121.528624 \r\n",
       "L 355.449638 118.118883 \r\n",
       "L 359.330945 115.154864 \r\n",
       "L 362.241925 112.73456 \r\n",
       "L 365.152905 110.04912 \r\n",
       "L 367.093558 108.040261 \r\n",
       "L 369.034212 105.786406 \r\n",
       "L 370.974865 103.212248 \r\n",
       "L 372.915518 100.234351 \r\n",
       "L 374.856171 96.773035 \r\n",
       "L 376.796825 92.771267 \r\n",
       "L 378.737478 88.216722 \r\n",
       "L 380.678131 83.159567 \r\n",
       "L 383.589111 74.912544 \r\n",
       "L 387.470418 63.807582 \r\n",
       "L 389.411071 58.829526 \r\n",
       "L 391.351725 54.620081 \r\n",
       "L 392.322051 52.870301 \r\n",
       "L 393.292378 51.365136 \r\n",
       "L 395.233031 48.926754 \r\n",
       "L 396.203358 47.775115 \r\n",
       "L 397.173685 46.398136 \r\n",
       "L 398.144011 44.507399 \r\n",
       "L 399.114338 41.808947 \r\n",
       "L 400.084664 38.085396 \r\n",
       "L 401.054991 33.236911 \r\n",
       "L 402.025318 27.255255 \r\n",
       "L 402.995644 20.170719 \r\n",
       "L 403.965971 12.013401 \r\n",
       "L 405.294577 -1 \r\n",
       "L 405.294577 -1 \r\n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-dasharray:1,1.65;stroke-dashoffset:0;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_26\">\r\n",
       "    <path clip-path=\"url(#pe3e73a59b4)\" d=\"M 36.83252 289 \r\n",
       "L 38.152822 250.70853 \r\n",
       "L 39.123149 226.495885 \r\n",
       "L 40.093475 205.147718 \r\n",
       "L 41.063802 186.488199 \r\n",
       "L 42.034129 170.362229 \r\n",
       "L 43.004455 156.6352 \r\n",
       "L 43.974782 145.190575 \r\n",
       "L 44.945109 135.923 \r\n",
       "L 45.915435 128.724234 \r\n",
       "L 46.885762 123.461203 \r\n",
       "L 47.856089 119.951923 \r\n",
       "L 48.826415 117.953158 \r\n",
       "L 49.796742 117.17301 \r\n",
       "L 50.767069 117.30601 \r\n",
       "L 51.737395 118.072012 \r\n",
       "L 52.707722 119.24117 \r\n",
       "L 54.648375 122.149627 \r\n",
       "L 57.559355 126.677493 \r\n",
       "L 60.470335 130.728093 \r\n",
       "L 63.381315 134.337729 \r\n",
       "L 71.143928 143.665382 \r\n",
       "L 78.906542 153.666909 \r\n",
       "L 83.758175 159.651411 \r\n",
       "L 87.639482 164.085777 \r\n",
       "L 92.491115 169.277098 \r\n",
       "L 101.224055 178.512427 \r\n",
       "L 106.075688 184.029345 \r\n",
       "L 110.927321 189.928056 \r\n",
       "L 117.719608 198.637327 \r\n",
       "L 127.422874 211.121213 \r\n",
       "L 132.274508 217.036507 \r\n",
       "L 137.126141 222.597429 \r\n",
       "L 141.007448 226.749867 \r\n",
       "L 144.888754 230.612771 \r\n",
       "L 148.770061 234.162928 \r\n",
       "L 152.651367 237.375473 \r\n",
       "L 156.532674 240.224733 \r\n",
       "L 159.443654 242.109221 \r\n",
       "L 162.354634 243.769195 \r\n",
       "L 165.265614 245.201197 \r\n",
       "L 168.176594 246.406401 \r\n",
       "L 171.087574 247.391277 \r\n",
       "L 173.998554 248.167829 \r\n",
       "L 176.909534 248.753408 \r\n",
       "L 180.79084 249.275858 \r\n",
       "L 184.672147 249.560757 \r\n",
       "L 189.52378 249.687724 \r\n",
       "L 208.930313 249.910336 \r\n",
       "L 214.752273 250.315289 \r\n",
       "L 221.54456 251.003348 \r\n",
       "L 240.951093 253.15294 \r\n",
       "L 245.802726 253.399666 \r\n",
       "L 249.684033 253.400623 \r\n",
       "L 253.56534 253.169021 \r\n",
       "L 256.47632 252.807412 \r\n",
       "L 259.387299 252.256211 \r\n",
       "L 262.298279 251.490148 \r\n",
       "L 265.209259 250.485694 \r\n",
       "L 268.120239 249.222479 \r\n",
       "L 271.031219 247.684705 \r\n",
       "L 273.942199 245.862429 \r\n",
       "L 276.853179 243.752618 \r\n",
       "L 279.764159 241.359856 \r\n",
       "L 282.675139 238.696632 \r\n",
       "L 285.586119 235.783157 \r\n",
       "L 289.467426 231.557222 \r\n",
       "L 293.348732 227.015705 \r\n",
       "L 299.170692 219.814335 \r\n",
       "L 312.755266 202.804047 \r\n",
       "L 317.606899 197.138549 \r\n",
       "L 321.488205 192.894578 \r\n",
       "L 325.369512 188.965037 \r\n",
       "L 329.250819 185.401159 \r\n",
       "L 332.161799 182.996067 \r\n",
       "L 335.072779 180.836788 \r\n",
       "L 337.983759 178.92896 \r\n",
       "L 340.894739 177.264704 \r\n",
       "L 343.805718 175.81716 \r\n",
       "L 347.687025 174.132788 \r\n",
       "L 354.479312 171.261812 \r\n",
       "L 357.390292 169.7483 \r\n",
       "L 359.330945 168.545374 \r\n",
       "L 361.271598 167.14354 \r\n",
       "L 363.212252 165.510985 \r\n",
       "L 365.152905 163.62376 \r\n",
       "L 367.093558 161.468164 \r\n",
       "L 369.034212 159.042599 \r\n",
       "L 371.945191 154.926351 \r\n",
       "L 374.856171 150.31808 \r\n",
       "L 378.737478 143.613886 \r\n",
       "L 382.618785 136.45695 \r\n",
       "L 386.500091 128.818601 \r\n",
       "L 389.411071 122.658686 \r\n",
       "L 394.262705 112.078515 \r\n",
       "L 395.233031 110.266252 \r\n",
       "L 396.203358 108.791361 \r\n",
       "L 397.173685 107.844254 \r\n",
       "L 398.144011 107.673729 \r\n",
       "L 399.114338 108.580224 \r\n",
       "L 400.084664 110.890927 \r\n",
       "L 401.054991 114.920961 \r\n",
       "L 402.025318 120.938383 \r\n",
       "L 402.995644 129.151661 \r\n",
       "L 403.965971 139.722059 \r\n",
       "L 404.936298 152.787766 \r\n",
       "L 405.906624 168.485912 \r\n",
       "L 406.876951 186.966701 \r\n",
       "L 407.847278 208.400385 \r\n",
       "L 408.817604 232.979766 \r\n",
       "L 409.787931 260.920515 \r\n",
       "L 410.65179 289 \r\n",
       "L 410.65179 289 \r\n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-dasharray:3.7,1.6;stroke-dashoffset:0;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_27\">\r\n",
       "    <path clip-path=\"url(#pe3e73a59b4)\" d=\"M 42.864208 -1 \r\n",
       "L 43.004455 0.644146 \r\n",
       "L 43.974782 10.442296 \r\n",
       "L 44.945109 18.698391 \r\n",
       "L 45.915435 25.45549 \r\n",
       "L 46.885762 30.786258 \r\n",
       "L 47.856089 34.816794 \r\n",
       "L 48.826415 37.738717 \r\n",
       "L 49.796742 39.796344 \r\n",
       "L 50.767069 41.251378 \r\n",
       "L 51.737395 42.343789 \r\n",
       "L 55.618702 46.176111 \r\n",
       "L 57.559355 48.718839 \r\n",
       "L 59.500009 51.786352 \r\n",
       "L 62.410989 57.057457 \r\n",
       "L 68.232948 67.969658 \r\n",
       "L 71.143928 72.862346 \r\n",
       "L 74.054908 77.223813 \r\n",
       "L 76.965888 81.13192 \r\n",
       "L 80.847195 85.88572 \r\n",
       "L 97.342748 105.468264 \r\n",
       "L 112.867975 124.725316 \r\n",
       "L 123.541568 138.293375 \r\n",
       "L 134.215161 151.842545 \r\n",
       "L 139.066794 157.616246 \r\n",
       "L 142.948101 161.900382 \r\n",
       "L 146.829408 165.808733 \r\n",
       "L 149.740387 168.462738 \r\n",
       "L 152.651367 170.865489 \r\n",
       "L 155.562347 173.013341 \r\n",
       "L 158.473327 174.909789 \r\n",
       "L 161.384307 176.564229 \r\n",
       "L 164.295287 177.990466 \r\n",
       "L 167.206267 179.205209 \r\n",
       "L 170.117247 180.226705 \r\n",
       "L 173.998554 181.320342 \r\n",
       "L 177.87986 182.146683 \r\n",
       "L 181.761167 182.74611 \r\n",
       "L 186.6128 183.233363 \r\n",
       "L 191.464434 183.494689 \r\n",
       "L 198.25672 183.616151 \r\n",
       "L 211.841293 183.772578 \r\n",
       "L 217.663253 184.097187 \r\n",
       "L 223.485213 184.661652 \r\n",
       "L 230.2775 185.565724 \r\n",
       "L 239.980766 186.887786 \r\n",
       "L 244.8324 187.293561 \r\n",
       "L 248.713706 187.371788 \r\n",
       "L 251.624686 187.244101 \r\n",
       "L 254.535666 186.93018 \r\n",
       "L 257.446646 186.410147 \r\n",
       "L 260.357626 185.668121 \r\n",
       "L 263.268606 184.692212 \r\n",
       "L 266.179586 183.474272 \r\n",
       "L 269.090566 182.009481 \r\n",
       "L 272.001546 180.295874 \r\n",
       "L 274.912526 178.3339 \r\n",
       "L 277.823506 176.126104 \r\n",
       "L 280.734486 173.677003 \r\n",
       "L 283.645466 170.993203 \r\n",
       "L 287.526772 167.065856 \r\n",
       "L 291.408079 162.768349 \r\n",
       "L 295.289386 158.14484 \r\n",
       "L 300.141019 152.002678 \r\n",
       "L 317.606899 129.424598 \r\n",
       "L 321.488205 125.028625 \r\n",
       "L 324.399185 122.015172 \r\n",
       "L 327.310165 119.265344 \r\n",
       "L 330.221145 116.781045 \r\n",
       "L 333.132125 114.547923 \r\n",
       "L 337.013432 111.907594 \r\n",
       "L 340.894739 109.554104 \r\n",
       "L 355.449638 101.076835 \r\n",
       "L 358.360618 99.063027 \r\n",
       "L 361.271598 96.811931 \r\n",
       "L 364.182578 94.240906 \r\n",
       "L 366.123232 92.296026 \r\n",
       "L 368.063885 90.120325 \r\n",
       "L 370.004538 87.667961 \r\n",
       "L 371.945191 84.889852 \r\n",
       "L 373.885845 81.738155 \r\n",
       "L 375.826498 78.173447 \r\n",
       "L 377.767151 74.17454 \r\n",
       "L 379.707805 69.75005 \r\n",
       "L 382.618785 62.437962 \r\n",
       "L 389.411071 44.766762 \r\n",
       "L 391.351725 40.538795 \r\n",
       "L 393.292378 37.054926 \r\n",
       "L 395.233031 34.293207 \r\n",
       "L 397.173685 31.789981 \r\n",
       "L 398.144011 30.297069 \r\n",
       "L 399.114338 28.365825 \r\n",
       "L 400.084664 25.756465 \r\n",
       "L 401.054991 22.248053 \r\n",
       "L 402.025318 17.673867 \r\n",
       "L 402.995644 11.934285 \r\n",
       "L 403.965971 4.98479 \r\n",
       "L 404.676544 -1 \r\n",
       "L 404.676544 -1 \r\n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-dasharray:3.7,1.6;stroke-dashoffset:0;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_28\">\r\n",
       "    <path clip-path=\"url(#pe3e73a59b4)\" d=\"M 30.390209 58.419834 \r\n",
       "L 37.182495 69.539678 \r\n",
       "L 43.974782 80.262384 \r\n",
       "L 50.767069 90.587954 \r\n",
       "L 57.559355 100.516386 \r\n",
       "L 64.351642 110.047681 \r\n",
       "L 71.143928 119.181838 \r\n",
       "L 77.936215 127.918858 \r\n",
       "L 84.728502 136.258741 \r\n",
       "L 91.520788 144.201487 \r\n",
       "L 97.342748 150.693466 \r\n",
       "L 103.164708 156.89367 \r\n",
       "L 108.986668 162.8021 \r\n",
       "L 114.808628 168.418756 \r\n",
       "L 120.630588 173.743638 \r\n",
       "L 126.452548 178.776745 \r\n",
       "L 132.274508 183.518078 \r\n",
       "L 138.096468 187.967636 \r\n",
       "L 143.918428 192.12542 \r\n",
       "L 149.740387 195.99143 \r\n",
       "L 155.562347 199.565666 \r\n",
       "L 161.384307 202.848127 \r\n",
       "L 167.206267 205.838814 \r\n",
       "L 173.028227 208.537727 \r\n",
       "L 177.87986 210.563937 \r\n",
       "L 182.731494 212.387527 \r\n",
       "L 187.583127 214.008495 \r\n",
       "L 192.43476 215.426843 \r\n",
       "L 197.286394 216.642569 \r\n",
       "L 202.138027 217.655674 \r\n",
       "L 206.98966 218.466159 \r\n",
       "L 211.841293 219.074022 \r\n",
       "L 216.692927 219.479264 \r\n",
       "L 221.54456 219.681885 \r\n",
       "L 226.396193 219.681885 \r\n",
       "L 231.247826 219.479264 \r\n",
       "L 236.09946 219.074022 \r\n",
       "L 240.951093 218.466159 \r\n",
       "L 245.802726 217.655674 \r\n",
       "L 250.65436 216.642569 \r\n",
       "L 255.505993 215.426843 \r\n",
       "L 260.357626 214.008495 \r\n",
       "L 265.209259 212.387527 \r\n",
       "L 270.060893 210.563937 \r\n",
       "L 274.912526 208.537727 \r\n",
       "L 279.764159 206.308895 \r\n",
       "L 285.586119 203.366837 \r\n",
       "L 291.408079 200.133005 \r\n",
       "L 297.230039 196.607398 \r\n",
       "L 303.051999 192.790018 \r\n",
       "L 308.873959 188.680862 \r\n",
       "L 314.695919 184.279933 \r\n",
       "L 320.517879 179.587229 \r\n",
       "L 326.339839 174.602751 \r\n",
       "L 332.161799 169.326499 \r\n",
       "L 337.983759 163.758472 \r\n",
       "L 343.805718 157.898671 \r\n",
       "L 349.627678 151.747095 \r\n",
       "L 355.449638 145.303745 \r\n",
       "L 361.271598 138.568621 \r\n",
       "L 368.063885 130.342206 \r\n",
       "L 374.856171 121.718654 \r\n",
       "L 381.648458 112.697964 \r\n",
       "L 388.440745 103.280137 \r\n",
       "L 395.233031 93.465173 \r\n",
       "L 402.025318 83.253071 \r\n",
       "L 408.817604 72.643832 \r\n",
       "L 415.609891 61.637456 \r\n",
       "L 417.550544 58.419834 \r\n",
       "L 417.550544 58.419834 \r\n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-opacity:0.85;stroke-width:1.4;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"PathCollection_1\">\r\n",
       "    <defs>\r\n",
       "     <path d=\"M 0 2 \r\n",
       "C 0.530406 2 1.03916 1.789267 1.414214 1.414214 \r\n",
       "C 1.789267 1.03916 2 0.530406 2 0 \r\n",
       "C 2 -0.530406 1.789267 -1.03916 1.414214 -1.414214 \r\n",
       "C 1.03916 -1.789267 0.530406 -2 0 -2 \r\n",
       "C -0.530406 -2 -1.03916 -1.789267 -1.414214 -1.414214 \r\n",
       "C -1.789267 -1.03916 -2 -0.530406 -2 0 \r\n",
       "C -2 0.530406 -1.789267 1.03916 -1.414214 1.414214 \r\n",
       "C -1.03916 1.789267 -0.530406 2 0 2 \r\n",
       "z\r\n",
       "\" id=\"m841e88992a\" style=\"stroke:#0000ff;stroke-opacity:0.5;\"/>\r\n",
       "    </defs>\r\n",
       "    <g clip-path=\"url(#pe3e73a59b4)\">\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"47.988406\" xlink:href=\"#m841e88992a\" y=\"79.101322\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"59.342081\" xlink:href=\"#m841e88992a\" y=\"85.153787\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"70.695757\" xlink:href=\"#m841e88992a\" y=\"110.387814\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"82.049433\" xlink:href=\"#m841e88992a\" y=\"122.650646\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"93.403108\" xlink:href=\"#m841e88992a\" y=\"147.539588\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"104.756784\" xlink:href=\"#m841e88992a\" y=\"134.000667\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"116.110459\" xlink:href=\"#m841e88992a\" y=\"159.252444\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"127.464135\" xlink:href=\"#m841e88992a\" y=\"185.383311\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"138.81781\" xlink:href=\"#m841e88992a\" y=\"182.376257\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"150.171486\" xlink:href=\"#m841e88992a\" y=\"199.611258\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"161.525161\" xlink:href=\"#m841e88992a\" y=\"233.323657\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"172.878837\" xlink:href=\"#m841e88992a\" y=\"215.816088\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"184.232512\" xlink:href=\"#m841e88992a\" y=\"202.616245\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"195.586188\" xlink:href=\"#m841e88992a\" y=\"207.129389\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"206.939863\" xlink:href=\"#m841e88992a\" y=\"208.612221\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"218.293539\" xlink:href=\"#m841e88992a\" y=\"238.165689\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"229.647214\" xlink:href=\"#m841e88992a\" y=\"206.149947\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"241.00089\" xlink:href=\"#m841e88992a\" y=\"231.288819\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"252.354565\" xlink:href=\"#m841e88992a\" y=\"222.013568\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"263.708241\" xlink:href=\"#m841e88992a\" y=\"225.633111\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"275.061916\" xlink:href=\"#m841e88992a\" y=\"199.334529\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"286.415592\" xlink:href=\"#m841e88992a\" y=\"202.034447\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"297.769267\" xlink:href=\"#m841e88992a\" y=\"167.254353\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"309.122943\" xlink:href=\"#m841e88992a\" y=\"187.719058\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"320.476619\" xlink:href=\"#m841e88992a\" y=\"170.957471\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"331.830294\" xlink:href=\"#m841e88992a\" y=\"157.490156\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"343.18397\" xlink:href=\"#m841e88992a\" y=\"136.777844\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"354.537645\" xlink:href=\"#m841e88992a\" y=\"110.5\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"365.891321\" xlink:href=\"#m841e88992a\" y=\"148.4806\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"377.244996\" xlink:href=\"#m841e88992a\" y=\"111.759504\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"388.598672\" xlink:href=\"#m841e88992a\" y=\"80.846106\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"399.952347\" xlink:href=\"#m841e88992a\" y=\"69.396602\"/>\r\n",
       "    </g>\r\n",
       "   </g>\r\n",
       "   <g id=\"legend_1\">\r\n",
       "    <g id=\"patch_5\">\r\n",
       "     <path d=\"M 174.181002 77.947146 \r\n",
       "L 273.759752 77.947146 \r\n",
       "L 273.759752 10.434646 \r\n",
       "L 174.181002 10.434646 \r\n",
       "z\r\n",
       "\" style=\"fill:#ffffff;stroke:#000000;stroke-linejoin:miter;\"/>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_29\">\r\n",
       "     <path d=\"M 180.581002 20.113396 \r\n",
       "L 196.581002 20.113396 \r\n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linejoin:miter;\"/>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_30\"/>\r\n",
       "    <g id=\"text_12\">\r\n",
       "     <!-- fitting curve -->\r\n",
       "     <defs>\r\n",
       "      <path d=\"M 37.109375 75.984375 \r\n",
       "L 37.109375 68.5 \r\n",
       "L 28.515625 68.5 \r\n",
       "Q 23.6875 68.5 21.796875 66.546875 \r\n",
       "Q 19.921875 64.59375 19.921875 59.515625 \r\n",
       "L 19.921875 54.6875 \r\n",
       "L 34.71875 54.6875 \r\n",
       "L 34.71875 47.703125 \r\n",
       "L 19.921875 47.703125 \r\n",
       "L 19.921875 0 \r\n",
       "L 10.890625 0 \r\n",
       "L 10.890625 47.703125 \r\n",
       "L 2.296875 47.703125 \r\n",
       "L 2.296875 54.6875 \r\n",
       "L 10.890625 54.6875 \r\n",
       "L 10.890625 58.5 \r\n",
       "Q 10.890625 67.625 15.140625 71.796875 \r\n",
       "Q 19.390625 75.984375 28.609375 75.984375 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-102\"/>\r\n",
       "      <path d=\"M 9.421875 54.6875 \r\n",
       "L 18.40625 54.6875 \r\n",
       "L 18.40625 0 \r\n",
       "L 9.421875 0 \r\n",
       "z\r\n",
       "M 9.421875 75.984375 \r\n",
       "L 18.40625 75.984375 \r\n",
       "L 18.40625 64.59375 \r\n",
       "L 9.421875 64.59375 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-105\"/>\r\n",
       "      <path d=\"M 18.3125 70.21875 \r\n",
       "L 18.3125 54.6875 \r\n",
       "L 36.8125 54.6875 \r\n",
       "L 36.8125 47.703125 \r\n",
       "L 18.3125 47.703125 \r\n",
       "L 18.3125 18.015625 \r\n",
       "Q 18.3125 11.328125 20.140625 9.421875 \r\n",
       "Q 21.96875 7.515625 27.59375 7.515625 \r\n",
       "L 36.8125 7.515625 \r\n",
       "L 36.8125 0 \r\n",
       "L 27.59375 0 \r\n",
       "Q 17.1875 0 13.234375 3.875 \r\n",
       "Q 9.28125 7.765625 9.28125 18.015625 \r\n",
       "L 9.28125 47.703125 \r\n",
       "L 2.6875 47.703125 \r\n",
       "L 2.6875 54.6875 \r\n",
       "L 9.28125 54.6875 \r\n",
       "L 9.28125 70.21875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-116\"/>\r\n",
       "      <path d=\"M 54.890625 33.015625 \r\n",
       "L 54.890625 0 \r\n",
       "L 45.90625 0 \r\n",
       "L 45.90625 32.71875 \r\n",
       "Q 45.90625 40.484375 42.875 44.328125 \r\n",
       "Q 39.84375 48.1875 33.796875 48.1875 \r\n",
       "Q 26.515625 48.1875 22.3125 43.546875 \r\n",
       "Q 18.109375 38.921875 18.109375 30.90625 \r\n",
       "L 18.109375 0 \r\n",
       "L 9.078125 0 \r\n",
       "L 9.078125 54.6875 \r\n",
       "L 18.109375 54.6875 \r\n",
       "L 18.109375 46.1875 \r\n",
       "Q 21.34375 51.125 25.703125 53.5625 \r\n",
       "Q 30.078125 56 35.796875 56 \r\n",
       "Q 45.21875 56 50.046875 50.171875 \r\n",
       "Q 54.890625 44.34375 54.890625 33.015625 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-110\"/>\r\n",
       "      <path d=\"M 45.40625 27.984375 \r\n",
       "Q 45.40625 37.75 41.375 43.109375 \r\n",
       "Q 37.359375 48.484375 30.078125 48.484375 \r\n",
       "Q 22.859375 48.484375 18.828125 43.109375 \r\n",
       "Q 14.796875 37.75 14.796875 27.984375 \r\n",
       "Q 14.796875 18.265625 18.828125 12.890625 \r\n",
       "Q 22.859375 7.515625 30.078125 7.515625 \r\n",
       "Q 37.359375 7.515625 41.375 12.890625 \r\n",
       "Q 45.40625 18.265625 45.40625 27.984375 \r\n",
       "z\r\n",
       "M 54.390625 6.78125 \r\n",
       "Q 54.390625 -7.171875 48.1875 -13.984375 \r\n",
       "Q 42 -20.796875 29.203125 -20.796875 \r\n",
       "Q 24.46875 -20.796875 20.265625 -20.09375 \r\n",
       "Q 16.0625 -19.390625 12.109375 -17.921875 \r\n",
       "L 12.109375 -9.1875 \r\n",
       "Q 16.0625 -11.328125 19.921875 -12.34375 \r\n",
       "Q 23.78125 -13.375 27.78125 -13.375 \r\n",
       "Q 36.625 -13.375 41.015625 -8.765625 \r\n",
       "Q 45.40625 -4.15625 45.40625 5.171875 \r\n",
       "L 45.40625 9.625 \r\n",
       "Q 42.625 4.78125 38.28125 2.390625 \r\n",
       "Q 33.9375 0 27.875 0 \r\n",
       "Q 17.828125 0 11.671875 7.65625 \r\n",
       "Q 5.515625 15.328125 5.515625 27.984375 \r\n",
       "Q 5.515625 40.671875 11.671875 48.328125 \r\n",
       "Q 17.828125 56 27.875 56 \r\n",
       "Q 33.9375 56 38.28125 53.609375 \r\n",
       "Q 42.625 51.21875 45.40625 46.390625 \r\n",
       "L 45.40625 54.6875 \r\n",
       "L 54.390625 54.6875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-103\"/>\r\n",
       "      <path id=\"DejaVuSans-32\"/>\r\n",
       "      <path d=\"M 48.78125 52.59375 \r\n",
       "L 48.78125 44.1875 \r\n",
       "Q 44.96875 46.296875 41.140625 47.34375 \r\n",
       "Q 37.3125 48.390625 33.40625 48.390625 \r\n",
       "Q 24.65625 48.390625 19.8125 42.84375 \r\n",
       "Q 14.984375 37.3125 14.984375 27.296875 \r\n",
       "Q 14.984375 17.28125 19.8125 11.734375 \r\n",
       "Q 24.65625 6.203125 33.40625 6.203125 \r\n",
       "Q 37.3125 6.203125 41.140625 7.25 \r\n",
       "Q 44.96875 8.296875 48.78125 10.40625 \r\n",
       "L 48.78125 2.09375 \r\n",
       "Q 45.015625 0.34375 40.984375 -0.53125 \r\n",
       "Q 36.96875 -1.421875 32.421875 -1.421875 \r\n",
       "Q 20.0625 -1.421875 12.78125 6.34375 \r\n",
       "Q 5.515625 14.109375 5.515625 27.296875 \r\n",
       "Q 5.515625 40.671875 12.859375 48.328125 \r\n",
       "Q 20.21875 56 33.015625 56 \r\n",
       "Q 37.15625 56 41.109375 55.140625 \r\n",
       "Q 45.0625 54.296875 48.78125 52.59375 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-99\"/>\r\n",
       "      <path d=\"M 8.5 21.578125 \r\n",
       "L 8.5 54.6875 \r\n",
       "L 17.484375 54.6875 \r\n",
       "L 17.484375 21.921875 \r\n",
       "Q 17.484375 14.15625 20.5 10.265625 \r\n",
       "Q 23.53125 6.390625 29.59375 6.390625 \r\n",
       "Q 36.859375 6.390625 41.078125 11.03125 \r\n",
       "Q 45.3125 15.671875 45.3125 23.6875 \r\n",
       "L 45.3125 54.6875 \r\n",
       "L 54.296875 54.6875 \r\n",
       "L 54.296875 0 \r\n",
       "L 45.3125 0 \r\n",
       "L 45.3125 8.40625 \r\n",
       "Q 42.046875 3.421875 37.71875 1 \r\n",
       "Q 33.40625 -1.421875 27.6875 -1.421875 \r\n",
       "Q 18.265625 -1.421875 13.375 4.4375 \r\n",
       "Q 8.5 10.296875 8.5 21.578125 \r\n",
       "z\r\n",
       "M 31.109375 56 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-117\"/>\r\n",
       "      <path d=\"M 41.109375 46.296875 \r\n",
       "Q 39.59375 47.171875 37.8125 47.578125 \r\n",
       "Q 36.03125 48 33.890625 48 \r\n",
       "Q 26.265625 48 22.1875 43.046875 \r\n",
       "Q 18.109375 38.09375 18.109375 28.8125 \r\n",
       "L 18.109375 0 \r\n",
       "L 9.078125 0 \r\n",
       "L 9.078125 54.6875 \r\n",
       "L 18.109375 54.6875 \r\n",
       "L 18.109375 46.1875 \r\n",
       "Q 20.953125 51.171875 25.484375 53.578125 \r\n",
       "Q 30.03125 56 36.53125 56 \r\n",
       "Q 37.453125 56 38.578125 55.875 \r\n",
       "Q 39.703125 55.765625 41.0625 55.515625 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-114\"/>\r\n",
       "      <path d=\"M 2.984375 54.6875 \r\n",
       "L 12.5 54.6875 \r\n",
       "L 29.59375 8.796875 \r\n",
       "L 46.6875 54.6875 \r\n",
       "L 56.203125 54.6875 \r\n",
       "L 35.6875 0 \r\n",
       "L 23.484375 0 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-118\"/>\r\n",
       "      <path d=\"M 56.203125 29.59375 \r\n",
       "L 56.203125 25.203125 \r\n",
       "L 14.890625 25.203125 \r\n",
       "Q 15.484375 15.921875 20.484375 11.0625 \r\n",
       "Q 25.484375 6.203125 34.421875 6.203125 \r\n",
       "Q 39.59375 6.203125 44.453125 7.46875 \r\n",
       "Q 49.3125 8.734375 54.109375 11.28125 \r\n",
       "L 54.109375 2.78125 \r\n",
       "Q 49.265625 0.734375 44.1875 -0.34375 \r\n",
       "Q 39.109375 -1.421875 33.890625 -1.421875 \r\n",
       "Q 20.796875 -1.421875 13.15625 6.1875 \r\n",
       "Q 5.515625 13.8125 5.515625 26.8125 \r\n",
       "Q 5.515625 40.234375 12.765625 48.109375 \r\n",
       "Q 20.015625 56 32.328125 56 \r\n",
       "Q 43.359375 56 49.78125 48.890625 \r\n",
       "Q 56.203125 41.796875 56.203125 29.59375 \r\n",
       "z\r\n",
       "M 47.21875 32.234375 \r\n",
       "Q 47.125 39.59375 43.09375 43.984375 \r\n",
       "Q 39.0625 48.390625 32.421875 48.390625 \r\n",
       "Q 24.90625 48.390625 20.390625 44.140625 \r\n",
       "Q 15.875 39.890625 15.1875 32.171875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-101\"/>\r\n",
       "     </defs>\r\n",
       "     <g transform=\"translate(202.981002 22.913396)scale(0.08 -0.08)\">\r\n",
       "      <use xlink:href=\"#DejaVuSans-102\"/>\r\n",
       "      <use x=\"35.205078\" xlink:href=\"#DejaVuSans-105\"/>\r\n",
       "      <use x=\"62.988281\" xlink:href=\"#DejaVuSans-116\"/>\r\n",
       "      <use x=\"102.197266\" xlink:href=\"#DejaVuSans-116\"/>\r\n",
       "      <use x=\"141.40625\" xlink:href=\"#DejaVuSans-105\"/>\r\n",
       "      <use x=\"169.189453\" xlink:href=\"#DejaVuSans-110\"/>\r\n",
       "      <use x=\"232.568359\" xlink:href=\"#DejaVuSans-103\"/>\r\n",
       "      <use x=\"296.044922\" xlink:href=\"#DejaVuSans-32\"/>\r\n",
       "      <use x=\"327.832031\" xlink:href=\"#DejaVuSans-99\"/>\r\n",
       "      <use x=\"382.8125\" xlink:href=\"#DejaVuSans-117\"/>\r\n",
       "      <use x=\"446.191406\" xlink:href=\"#DejaVuSans-114\"/>\r\n",
       "      <use x=\"487.304688\" xlink:href=\"#DejaVuSans-118\"/>\r\n",
       "      <use x=\"546.484375\" xlink:href=\"#DejaVuSans-101\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_31\">\r\n",
       "     <path d=\"M 180.581002 31.855896 \r\n",
       "L 196.581002 31.855896 \r\n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-dasharray:1,1.65;stroke-dashoffset:0;stroke-linejoin:miter;\"/>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_32\"/>\r\n",
       "    <g id=\"text_13\">\r\n",
       "     <!-- 95.0% conf. int. -->\r\n",
       "     <defs>\r\n",
       "      <path d=\"M 10.984375 1.515625 \r\n",
       "L 10.984375 10.5 \r\n",
       "Q 14.703125 8.734375 18.5 7.8125 \r\n",
       "Q 22.3125 6.890625 25.984375 6.890625 \r\n",
       "Q 35.75 6.890625 40.890625 13.453125 \r\n",
       "Q 46.046875 20.015625 46.78125 33.40625 \r\n",
       "Q 43.953125 29.203125 39.59375 26.953125 \r\n",
       "Q 35.25 24.703125 29.984375 24.703125 \r\n",
       "Q 19.046875 24.703125 12.671875 31.3125 \r\n",
       "Q 6.296875 37.9375 6.296875 49.421875 \r\n",
       "Q 6.296875 60.640625 12.9375 67.421875 \r\n",
       "Q 19.578125 74.21875 30.609375 74.21875 \r\n",
       "Q 43.265625 74.21875 49.921875 64.515625 \r\n",
       "Q 56.59375 54.828125 56.59375 36.375 \r\n",
       "Q 56.59375 19.140625 48.40625 8.859375 \r\n",
       "Q 40.234375 -1.421875 26.421875 -1.421875 \r\n",
       "Q 22.703125 -1.421875 18.890625 -0.6875 \r\n",
       "Q 15.09375 0.046875 10.984375 1.515625 \r\n",
       "z\r\n",
       "M 30.609375 32.421875 \r\n",
       "Q 37.25 32.421875 41.125 36.953125 \r\n",
       "Q 45.015625 41.5 45.015625 49.421875 \r\n",
       "Q 45.015625 57.28125 41.125 61.84375 \r\n",
       "Q 37.25 66.40625 30.609375 66.40625 \r\n",
       "Q 23.96875 66.40625 20.09375 61.84375 \r\n",
       "Q 16.21875 57.28125 16.21875 49.421875 \r\n",
       "Q 16.21875 41.5 20.09375 36.953125 \r\n",
       "Q 23.96875 32.421875 30.609375 32.421875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-57\"/>\r\n",
       "      <path d=\"M 72.703125 32.078125 \r\n",
       "Q 68.453125 32.078125 66.03125 28.46875 \r\n",
       "Q 63.625 24.859375 63.625 18.40625 \r\n",
       "Q 63.625 12.0625 66.03125 8.421875 \r\n",
       "Q 68.453125 4.78125 72.703125 4.78125 \r\n",
       "Q 76.859375 4.78125 79.265625 8.421875 \r\n",
       "Q 81.6875 12.0625 81.6875 18.40625 \r\n",
       "Q 81.6875 24.8125 79.265625 28.4375 \r\n",
       "Q 76.859375 32.078125 72.703125 32.078125 \r\n",
       "z\r\n",
       "M 72.703125 38.28125 \r\n",
       "Q 80.421875 38.28125 84.953125 32.90625 \r\n",
       "Q 89.5 27.546875 89.5 18.40625 \r\n",
       "Q 89.5 9.28125 84.9375 3.921875 \r\n",
       "Q 80.375 -1.421875 72.703125 -1.421875 \r\n",
       "Q 64.890625 -1.421875 60.34375 3.921875 \r\n",
       "Q 55.8125 9.28125 55.8125 18.40625 \r\n",
       "Q 55.8125 27.59375 60.375 32.9375 \r\n",
       "Q 64.9375 38.28125 72.703125 38.28125 \r\n",
       "z\r\n",
       "M 22.3125 68.015625 \r\n",
       "Q 18.109375 68.015625 15.6875 64.375 \r\n",
       "Q 13.28125 60.75 13.28125 54.390625 \r\n",
       "Q 13.28125 47.953125 15.671875 44.328125 \r\n",
       "Q 18.0625 40.71875 22.3125 40.71875 \r\n",
       "Q 26.5625 40.71875 28.96875 44.328125 \r\n",
       "Q 31.390625 47.953125 31.390625 54.390625 \r\n",
       "Q 31.390625 60.6875 28.953125 64.34375 \r\n",
       "Q 26.515625 68.015625 22.3125 68.015625 \r\n",
       "z\r\n",
       "M 66.40625 74.21875 \r\n",
       "L 74.21875 74.21875 \r\n",
       "L 28.609375 -1.421875 \r\n",
       "L 20.796875 -1.421875 \r\n",
       "z\r\n",
       "M 22.3125 74.21875 \r\n",
       "Q 30.03125 74.21875 34.609375 68.875 \r\n",
       "Q 39.203125 63.53125 39.203125 54.390625 \r\n",
       "Q 39.203125 45.171875 34.640625 39.84375 \r\n",
       "Q 30.078125 34.515625 22.3125 34.515625 \r\n",
       "Q 14.546875 34.515625 10.03125 39.859375 \r\n",
       "Q 5.515625 45.21875 5.515625 54.390625 \r\n",
       "Q 5.515625 63.484375 10.046875 68.84375 \r\n",
       "Q 14.59375 74.21875 22.3125 74.21875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-37\"/>\r\n",
       "      <path d=\"M 30.609375 48.390625 \r\n",
       "Q 23.390625 48.390625 19.1875 42.75 \r\n",
       "Q 14.984375 37.109375 14.984375 27.296875 \r\n",
       "Q 14.984375 17.484375 19.15625 11.84375 \r\n",
       "Q 23.34375 6.203125 30.609375 6.203125 \r\n",
       "Q 37.796875 6.203125 41.984375 11.859375 \r\n",
       "Q 46.1875 17.53125 46.1875 27.296875 \r\n",
       "Q 46.1875 37.015625 41.984375 42.703125 \r\n",
       "Q 37.796875 48.390625 30.609375 48.390625 \r\n",
       "z\r\n",
       "M 30.609375 56 \r\n",
       "Q 42.328125 56 49.015625 48.375 \r\n",
       "Q 55.71875 40.765625 55.71875 27.296875 \r\n",
       "Q 55.71875 13.875 49.015625 6.21875 \r\n",
       "Q 42.328125 -1.421875 30.609375 -1.421875 \r\n",
       "Q 18.84375 -1.421875 12.171875 6.21875 \r\n",
       "Q 5.515625 13.875 5.515625 27.296875 \r\n",
       "Q 5.515625 40.765625 12.171875 48.375 \r\n",
       "Q 18.84375 56 30.609375 56 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-111\"/>\r\n",
       "     </defs>\r\n",
       "     <g transform=\"translate(202.981002 34.655896)scale(0.08 -0.08)\">\r\n",
       "      <use xlink:href=\"#DejaVuSans-57\"/>\r\n",
       "      <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\r\n",
       "      <use x=\"127.246094\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "      <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\r\n",
       "      <use x=\"222.65625\" xlink:href=\"#DejaVuSans-37\"/>\r\n",
       "      <use x=\"317.675781\" xlink:href=\"#DejaVuSans-32\"/>\r\n",
       "      <use x=\"349.462891\" xlink:href=\"#DejaVuSans-99\"/>\r\n",
       "      <use x=\"404.443359\" xlink:href=\"#DejaVuSans-111\"/>\r\n",
       "      <use x=\"465.625\" xlink:href=\"#DejaVuSans-110\"/>\r\n",
       "      <use x=\"529.003906\" xlink:href=\"#DejaVuSans-102\"/>\r\n",
       "      <use x=\"564.099609\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "      <use x=\"595.886719\" xlink:href=\"#DejaVuSans-32\"/>\r\n",
       "      <use x=\"627.673828\" xlink:href=\"#DejaVuSans-105\"/>\r\n",
       "      <use x=\"655.457031\" xlink:href=\"#DejaVuSans-110\"/>\r\n",
       "      <use x=\"718.835938\" xlink:href=\"#DejaVuSans-116\"/>\r\n",
       "      <use x=\"758.044922\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_33\">\r\n",
       "     <path d=\"M 180.581002 43.598396 \r\n",
       "L 196.581002 43.598396 \r\n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-dasharray:3.7,1.6;stroke-dashoffset:0;stroke-linejoin:miter;\"/>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_34\"/>\r\n",
       "    <g id=\"text_14\">\r\n",
       "     <!-- 95.0% pred. int. -->\r\n",
       "     <defs>\r\n",
       "      <path d=\"M 18.109375 8.203125 \r\n",
       "L 18.109375 -20.796875 \r\n",
       "L 9.078125 -20.796875 \r\n",
       "L 9.078125 54.6875 \r\n",
       "L 18.109375 54.6875 \r\n",
       "L 18.109375 46.390625 \r\n",
       "Q 20.953125 51.265625 25.265625 53.625 \r\n",
       "Q 29.59375 56 35.59375 56 \r\n",
       "Q 45.5625 56 51.78125 48.09375 \r\n",
       "Q 58.015625 40.1875 58.015625 27.296875 \r\n",
       "Q 58.015625 14.40625 51.78125 6.484375 \r\n",
       "Q 45.5625 -1.421875 35.59375 -1.421875 \r\n",
       "Q 29.59375 -1.421875 25.265625 0.953125 \r\n",
       "Q 20.953125 3.328125 18.109375 8.203125 \r\n",
       "z\r\n",
       "M 48.6875 27.296875 \r\n",
       "Q 48.6875 37.203125 44.609375 42.84375 \r\n",
       "Q 40.53125 48.484375 33.40625 48.484375 \r\n",
       "Q 26.265625 48.484375 22.1875 42.84375 \r\n",
       "Q 18.109375 37.203125 18.109375 27.296875 \r\n",
       "Q 18.109375 17.390625 22.1875 11.75 \r\n",
       "Q 26.265625 6.109375 33.40625 6.109375 \r\n",
       "Q 40.53125 6.109375 44.609375 11.75 \r\n",
       "Q 48.6875 17.390625 48.6875 27.296875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-112\"/>\r\n",
       "      <path d=\"M 45.40625 46.390625 \r\n",
       "L 45.40625 75.984375 \r\n",
       "L 54.390625 75.984375 \r\n",
       "L 54.390625 0 \r\n",
       "L 45.40625 0 \r\n",
       "L 45.40625 8.203125 \r\n",
       "Q 42.578125 3.328125 38.25 0.953125 \r\n",
       "Q 33.9375 -1.421875 27.875 -1.421875 \r\n",
       "Q 17.96875 -1.421875 11.734375 6.484375 \r\n",
       "Q 5.515625 14.40625 5.515625 27.296875 \r\n",
       "Q 5.515625 40.1875 11.734375 48.09375 \r\n",
       "Q 17.96875 56 27.875 56 \r\n",
       "Q 33.9375 56 38.25 53.625 \r\n",
       "Q 42.578125 51.265625 45.40625 46.390625 \r\n",
       "z\r\n",
       "M 14.796875 27.296875 \r\n",
       "Q 14.796875 17.390625 18.875 11.75 \r\n",
       "Q 22.953125 6.109375 30.078125 6.109375 \r\n",
       "Q 37.203125 6.109375 41.296875 11.75 \r\n",
       "Q 45.40625 17.390625 45.40625 27.296875 \r\n",
       "Q 45.40625 37.203125 41.296875 42.84375 \r\n",
       "Q 37.203125 48.484375 30.078125 48.484375 \r\n",
       "Q 22.953125 48.484375 18.875 42.84375 \r\n",
       "Q 14.796875 37.203125 14.796875 27.296875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-100\"/>\r\n",
       "     </defs>\r\n",
       "     <g transform=\"translate(202.981002 46.398396)scale(0.08 -0.08)\">\r\n",
       "      <use xlink:href=\"#DejaVuSans-57\"/>\r\n",
       "      <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\r\n",
       "      <use x=\"127.246094\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "      <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\r\n",
       "      <use x=\"222.65625\" xlink:href=\"#DejaVuSans-37\"/>\r\n",
       "      <use x=\"317.675781\" xlink:href=\"#DejaVuSans-32\"/>\r\n",
       "      <use x=\"349.462891\" xlink:href=\"#DejaVuSans-112\"/>\r\n",
       "      <use x=\"412.939453\" xlink:href=\"#DejaVuSans-114\"/>\r\n",
       "      <use x=\"454.021484\" xlink:href=\"#DejaVuSans-101\"/>\r\n",
       "      <use x=\"515.544922\" xlink:href=\"#DejaVuSans-100\"/>\r\n",
       "      <use x=\"579.021484\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "      <use x=\"610.808594\" xlink:href=\"#DejaVuSans-32\"/>\r\n",
       "      <use x=\"642.595703\" xlink:href=\"#DejaVuSans-105\"/>\r\n",
       "      <use x=\"670.378906\" xlink:href=\"#DejaVuSans-110\"/>\r\n",
       "      <use x=\"733.757812\" xlink:href=\"#DejaVuSans-116\"/>\r\n",
       "      <use x=\"772.966797\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_35\">\r\n",
       "     <path d=\"M 180.581002 55.340896 \r\n",
       "L 196.581002 55.340896 \r\n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linejoin:miter;stroke-opacity:0.85;\"/>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_36\"/>\r\n",
       "    <g id=\"text_15\">\r\n",
       "     <!-- true curve -->\r\n",
       "     <g transform=\"translate(202.981002 58.140896)scale(0.08 -0.08)\">\r\n",
       "      <use xlink:href=\"#DejaVuSans-116\"/>\r\n",
       "      <use x=\"39.208984\" xlink:href=\"#DejaVuSans-114\"/>\r\n",
       "      <use x=\"80.322266\" xlink:href=\"#DejaVuSans-117\"/>\r\n",
       "      <use x=\"143.701172\" xlink:href=\"#DejaVuSans-101\"/>\r\n",
       "      <use x=\"205.224609\" xlink:href=\"#DejaVuSans-32\"/>\r\n",
       "      <use x=\"237.011719\" xlink:href=\"#DejaVuSans-99\"/>\r\n",
       "      <use x=\"291.992188\" xlink:href=\"#DejaVuSans-117\"/>\r\n",
       "      <use x=\"355.371094\" xlink:href=\"#DejaVuSans-114\"/>\r\n",
       "      <use x=\"396.484375\" xlink:href=\"#DejaVuSans-118\"/>\r\n",
       "      <use x=\"455.664062\" xlink:href=\"#DejaVuSans-101\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_37\">\r\n",
       "     <path d=\"M 180.581002 67.083396 \r\n",
       "L 196.581002 67.083396 \r\n",
       "\" style=\"fill:none;\"/>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_38\">\r\n",
       "     <defs>\r\n",
       "      <path d=\"M 0 3.2 \r\n",
       "C 0.84865 3.2 1.662656 2.862828 2.262742 2.262742 \r\n",
       "C 2.862828 1.662656 3.2 0.84865 3.2 0 \r\n",
       "C 3.2 -0.84865 2.862828 -1.662656 2.262742 -2.262742 \r\n",
       "C 1.662656 -2.862828 0.84865 -3.2 0 -3.2 \r\n",
       "C -0.84865 -3.2 -1.662656 -2.862828 -2.262742 -2.262742 \r\n",
       "C -2.862828 -1.662656 -3.2 -0.84865 -3.2 0 \r\n",
       "C -3.2 0.84865 -2.862828 1.662656 -2.262742 2.262742 \r\n",
       "C -1.662656 2.862828 -0.84865 3.2 0 3.2 \r\n",
       "z\r\n",
       "\" id=\"mbd102b5885\" style=\"stroke:#0000ff;stroke-opacity:0.5;stroke-width:1.6;\"/>\r\n",
       "     </defs>\r\n",
       "     <g>\r\n",
       "      <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;stroke-width:1.6;\" x=\"188.581002\" xlink:href=\"#mbd102b5885\" y=\"67.083396\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"text_16\">\r\n",
       "     <!-- sample -->\r\n",
       "     <defs>\r\n",
       "      <path d=\"M 44.28125 53.078125 \r\n",
       "L 44.28125 44.578125 \r\n",
       "Q 40.484375 46.53125 36.375 47.5 \r\n",
       "Q 32.28125 48.484375 27.875 48.484375 \r\n",
       "Q 21.1875 48.484375 17.84375 46.4375 \r\n",
       "Q 14.5 44.390625 14.5 40.28125 \r\n",
       "Q 14.5 37.15625 16.890625 35.375 \r\n",
       "Q 19.28125 33.59375 26.515625 31.984375 \r\n",
       "L 29.59375 31.296875 \r\n",
       "Q 39.15625 29.25 43.1875 25.515625 \r\n",
       "Q 47.21875 21.78125 47.21875 15.09375 \r\n",
       "Q 47.21875 7.46875 41.1875 3.015625 \r\n",
       "Q 35.15625 -1.421875 24.609375 -1.421875 \r\n",
       "Q 20.21875 -1.421875 15.453125 -0.5625 \r\n",
       "Q 10.6875 0.296875 5.421875 2 \r\n",
       "L 5.421875 11.28125 \r\n",
       "Q 10.40625 8.6875 15.234375 7.390625 \r\n",
       "Q 20.0625 6.109375 24.8125 6.109375 \r\n",
       "Q 31.15625 6.109375 34.5625 8.28125 \r\n",
       "Q 37.984375 10.453125 37.984375 14.40625 \r\n",
       "Q 37.984375 18.0625 35.515625 20.015625 \r\n",
       "Q 33.0625 21.96875 24.703125 23.78125 \r\n",
       "L 21.578125 24.515625 \r\n",
       "Q 13.234375 26.265625 9.515625 29.90625 \r\n",
       "Q 5.8125 33.546875 5.8125 39.890625 \r\n",
       "Q 5.8125 47.609375 11.28125 51.796875 \r\n",
       "Q 16.75 56 26.8125 56 \r\n",
       "Q 31.78125 56 36.171875 55.265625 \r\n",
       "Q 40.578125 54.546875 44.28125 53.078125 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-115\"/>\r\n",
       "      <path d=\"M 34.28125 27.484375 \r\n",
       "Q 23.390625 27.484375 19.1875 25 \r\n",
       "Q 14.984375 22.515625 14.984375 16.5 \r\n",
       "Q 14.984375 11.71875 18.140625 8.90625 \r\n",
       "Q 21.296875 6.109375 26.703125 6.109375 \r\n",
       "Q 34.1875 6.109375 38.703125 11.40625 \r\n",
       "Q 43.21875 16.703125 43.21875 25.484375 \r\n",
       "L 43.21875 27.484375 \r\n",
       "z\r\n",
       "M 52.203125 31.203125 \r\n",
       "L 52.203125 0 \r\n",
       "L 43.21875 0 \r\n",
       "L 43.21875 8.296875 \r\n",
       "Q 40.140625 3.328125 35.546875 0.953125 \r\n",
       "Q 30.953125 -1.421875 24.3125 -1.421875 \r\n",
       "Q 15.921875 -1.421875 10.953125 3.296875 \r\n",
       "Q 6 8.015625 6 15.921875 \r\n",
       "Q 6 25.140625 12.171875 29.828125 \r\n",
       "Q 18.359375 34.515625 30.609375 34.515625 \r\n",
       "L 43.21875 34.515625 \r\n",
       "L 43.21875 35.40625 \r\n",
       "Q 43.21875 41.609375 39.140625 45 \r\n",
       "Q 35.0625 48.390625 27.6875 48.390625 \r\n",
       "Q 23 48.390625 18.546875 47.265625 \r\n",
       "Q 14.109375 46.140625 10.015625 43.890625 \r\n",
       "L 10.015625 52.203125 \r\n",
       "Q 14.9375 54.109375 19.578125 55.046875 \r\n",
       "Q 24.21875 56 28.609375 56 \r\n",
       "Q 40.484375 56 46.34375 49.84375 \r\n",
       "Q 52.203125 43.703125 52.203125 31.203125 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-97\"/>\r\n",
       "      <path d=\"M 52 44.1875 \r\n",
       "Q 55.375 50.25 60.0625 53.125 \r\n",
       "Q 64.75 56 71.09375 56 \r\n",
       "Q 79.640625 56 84.28125 50.015625 \r\n",
       "Q 88.921875 44.046875 88.921875 33.015625 \r\n",
       "L 88.921875 0 \r\n",
       "L 79.890625 0 \r\n",
       "L 79.890625 32.71875 \r\n",
       "Q 79.890625 40.578125 77.09375 44.375 \r\n",
       "Q 74.3125 48.1875 68.609375 48.1875 \r\n",
       "Q 61.625 48.1875 57.5625 43.546875 \r\n",
       "Q 53.515625 38.921875 53.515625 30.90625 \r\n",
       "L 53.515625 0 \r\n",
       "L 44.484375 0 \r\n",
       "L 44.484375 32.71875 \r\n",
       "Q 44.484375 40.625 41.703125 44.40625 \r\n",
       "Q 38.921875 48.1875 33.109375 48.1875 \r\n",
       "Q 26.21875 48.1875 22.15625 43.53125 \r\n",
       "Q 18.109375 38.875 18.109375 30.90625 \r\n",
       "L 18.109375 0 \r\n",
       "L 9.078125 0 \r\n",
       "L 9.078125 54.6875 \r\n",
       "L 18.109375 54.6875 \r\n",
       "L 18.109375 46.1875 \r\n",
       "Q 21.1875 51.21875 25.484375 53.609375 \r\n",
       "Q 29.78125 56 35.6875 56 \r\n",
       "Q 41.65625 56 45.828125 52.96875 \r\n",
       "Q 50 49.953125 52 44.1875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-109\"/>\r\n",
       "      <path d=\"M 9.421875 75.984375 \r\n",
       "L 18.40625 75.984375 \r\n",
       "L 18.40625 0 \r\n",
       "L 9.421875 0 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-108\"/>\r\n",
       "     </defs>\r\n",
       "     <g transform=\"translate(202.981002 69.883396)scale(0.08 -0.08)\">\r\n",
       "      <use xlink:href=\"#DejaVuSans-115\"/>\r\n",
       "      <use x=\"52.099609\" xlink:href=\"#DejaVuSans-97\"/>\r\n",
       "      <use x=\"113.378906\" xlink:href=\"#DejaVuSans-109\"/>\r\n",
       "      <use x=\"210.791016\" xlink:href=\"#DejaVuSans-112\"/>\r\n",
       "      <use x=\"274.267578\" xlink:href=\"#DejaVuSans-108\"/>\r\n",
       "      <use x=\"302.050781\" xlink:href=\"#DejaVuSans-101\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "   </g>\r\n",
       "  </g>\r\n",
       " </g>\r\n",
       " <defs>\r\n",
       "  <clipPath id=\"pe3e73a59b4\">\r\n",
       "   <rect height=\"266.590709\" width=\"410.389955\" x=\"18.775399\" y=\"6.434646\"/>\r\n",
       "  </clipPath>\r\n",
       " </defs>\r\n",
       "</svg>\r\n"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "G = [one, identity, x->x^2, [x->x^k for k in 3:10]...]\n",
    "plot_linear_regression(G, x, f_true; b=b, σ=σ, y=y, xs=range(-0.5, 10.5, length=400), ylim=(-2, 8))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "b = [3.0, 2.0, 1.0, 0.0, 1.0]\n",
      "σ = 0.5\n",
      "\n",
      "b̂ = [3.1995778060952005, 2.3109966330394434, 0.8370849374587023, -0.008316559757708682, 0.9939991872831458]\n",
      "û = 0.5130552224456036\n"
     ]
    },
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\r\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\r\n",
       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\r\n",
       "<!-- Created with matplotlib (https://matplotlib.org/) -->\r\n",
       "<svg height=\"288pt\" version=\"1.1\" viewBox=\"0 0 432 288\" width=\"432pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\r\n",
       " <defs>\r\n",
       "  <style type=\"text/css\">\r\n",
       "*{stroke-linecap:butt;stroke-linejoin:round;}\r\n",
       "  </style>\r\n",
       " </defs>\r\n",
       " <g id=\"figure_1\">\r\n",
       "  <g id=\"patch_1\">\r\n",
       "   <path d=\"M 0 288 \r\n",
       "L 432 288 \r\n",
       "L 432 0 \r\n",
       "L 0 0 \r\n",
       "z\r\n",
       "\" style=\"fill:#ffffff;\"/>\r\n",
       "  </g>\r\n",
       "  <g id=\"axes_1\">\r\n",
       "   <g id=\"patch_2\">\r\n",
       "    <path d=\"M 25.0313 273.025354 \r\n",
       "L 429.165354 273.025354 \r\n",
       "L 429.165354 2.834646 \r\n",
       "L 25.0313 2.834646 \r\n",
       "z\r\n",
       "\" style=\"fill:#ffffff;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"matplotlib.axis_1\">\r\n",
       "    <g id=\"xtick_1\">\r\n",
       "     <g id=\"line2d_1\">\r\n",
       "      <path clip-path=\"url(#p52175c097e)\" d=\"M 62.423267 273.025354 \r\n",
       "L 62.423267 2.834646 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_2\">\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 0 0 \r\n",
       "L 0 -2.5 \r\n",
       "\" id=\"mca08df5a29\" style=\"stroke:#000000;stroke-width:0.5;\"/>\r\n",
       "      </defs>\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"62.423267\" xlink:href=\"#mca08df5a29\" y=\"273.025354\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_1\">\r\n",
       "      <!-- $\\mathregular{-5}$ -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 10.59375 35.5 \r\n",
       "L 73.1875 35.5 \r\n",
       "L 73.1875 27.203125 \r\n",
       "L 10.59375 27.203125 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-8722\"/>\r\n",
       "       <path d=\"M 10.796875 72.90625 \r\n",
       "L 49.515625 72.90625 \r\n",
       "L 49.515625 64.59375 \r\n",
       "L 19.828125 64.59375 \r\n",
       "L 19.828125 46.734375 \r\n",
       "Q 21.96875 47.46875 24.109375 47.828125 \r\n",
       "Q 26.265625 48.1875 28.421875 48.1875 \r\n",
       "Q 40.625 48.1875 47.75 41.5 \r\n",
       "Q 54.890625 34.8125 54.890625 23.390625 \r\n",
       "Q 54.890625 11.625 47.5625 5.09375 \r\n",
       "Q 40.234375 -1.421875 26.90625 -1.421875 \r\n",
       "Q 22.3125 -1.421875 17.546875 -0.640625 \r\n",
       "Q 12.796875 0.140625 7.71875 1.703125 \r\n",
       "L 7.71875 11.625 \r\n",
       "Q 12.109375 9.234375 16.796875 8.0625 \r\n",
       "Q 21.484375 6.890625 26.703125 6.890625 \r\n",
       "Q 35.15625 6.890625 40.078125 11.328125 \r\n",
       "Q 45.015625 15.765625 45.015625 23.390625 \r\n",
       "Q 45.015625 31 40.078125 35.4375 \r\n",
       "Q 35.15625 39.890625 26.703125 39.890625 \r\n",
       "Q 22.75 39.890625 18.8125 39.015625 \r\n",
       "Q 14.890625 38.140625 10.796875 36.28125 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-53\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(56.503267 282.604104)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.09375)\" xlink:href=\"#DejaVuSans-8722\"/>\r\n",
       "       <use transform=\"translate(83.789062 0.09375)\" xlink:href=\"#DejaVuSans-53\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_2\">\r\n",
       "     <g id=\"line2d_3\">\r\n",
       "      <path clip-path=\"url(#p52175c097e)\" d=\"M 163.555237 273.025354 \r\n",
       "L 163.555237 2.834646 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_4\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"163.555237\" xlink:href=\"#mca08df5a29\" y=\"273.025354\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_2\">\r\n",
       "      <!-- $\\mathregular{0}$ -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 31.78125 66.40625 \r\n",
       "Q 24.171875 66.40625 20.328125 58.90625 \r\n",
       "Q 16.5 51.421875 16.5 36.375 \r\n",
       "Q 16.5 21.390625 20.328125 13.890625 \r\n",
       "Q 24.171875 6.390625 31.78125 6.390625 \r\n",
       "Q 39.453125 6.390625 43.28125 13.890625 \r\n",
       "Q 47.125 21.390625 47.125 36.375 \r\n",
       "Q 47.125 51.421875 43.28125 58.90625 \r\n",
       "Q 39.453125 66.40625 31.78125 66.40625 \r\n",
       "z\r\n",
       "M 31.78125 74.21875 \r\n",
       "Q 44.046875 74.21875 50.515625 64.515625 \r\n",
       "Q 56.984375 54.828125 56.984375 36.375 \r\n",
       "Q 56.984375 17.96875 50.515625 8.265625 \r\n",
       "Q 44.046875 -1.421875 31.78125 -1.421875 \r\n",
       "Q 19.53125 -1.421875 13.0625 8.265625 \r\n",
       "Q 6.59375 17.96875 6.59375 36.375 \r\n",
       "Q 6.59375 54.828125 13.0625 64.515625 \r\n",
       "Q 19.53125 74.21875 31.78125 74.21875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-48\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(160.995237 282.604104)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_3\">\r\n",
       "     <g id=\"line2d_5\">\r\n",
       "      <path clip-path=\"url(#p52175c097e)\" d=\"M 264.687206 273.025354 \r\n",
       "L 264.687206 2.834646 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_6\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"264.687206\" xlink:href=\"#mca08df5a29\" y=\"273.025354\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_3\">\r\n",
       "      <!-- $\\mathregular{5}$ -->\r\n",
       "      <g transform=\"translate(262.127206 282.604104)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.09375)\" xlink:href=\"#DejaVuSans-53\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_4\">\r\n",
       "     <g id=\"line2d_7\">\r\n",
       "      <path clip-path=\"url(#p52175c097e)\" d=\"M 365.819175 273.025354 \r\n",
       "L 365.819175 2.834646 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_8\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"365.819175\" xlink:href=\"#mca08df5a29\" y=\"273.025354\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_4\">\r\n",
       "      <!-- $\\mathregular{10}$ -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 12.40625 8.296875 \r\n",
       "L 28.515625 8.296875 \r\n",
       "L 28.515625 63.921875 \r\n",
       "L 10.984375 60.40625 \r\n",
       "L 10.984375 69.390625 \r\n",
       "L 28.421875 72.90625 \r\n",
       "L 38.28125 72.90625 \r\n",
       "L 38.28125 8.296875 \r\n",
       "L 54.390625 8.296875 \r\n",
       "L 54.390625 0 \r\n",
       "L 12.40625 0 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-49\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(360.699175 282.604104)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-49\"/>\r\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "   </g>\r\n",
       "   <g id=\"matplotlib.axis_2\">\r\n",
       "    <g id=\"ytick_1\">\r\n",
       "     <g id=\"line2d_9\">\r\n",
       "      <path clip-path=\"url(#p52175c097e)\" d=\"M 25.0313 231.457553 \r\n",
       "L 429.165354 231.457553 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_10\">\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 0 0 \r\n",
       "L 2.5 0 \r\n",
       "\" id=\"m9e16d7b630\" style=\"stroke:#000000;stroke-width:0.5;\"/>\r\n",
       "      </defs>\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"25.0313\" xlink:href=\"#m9e16d7b630\" y=\"231.457553\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_5\">\r\n",
       "      <!-- $\\mathregular{0.0}$ -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 10.6875 12.40625 \r\n",
       "L 21 12.40625 \r\n",
       "L 21 0 \r\n",
       "L 10.6875 0 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-46\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(8.7313 234.496928)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\r\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "       <use transform=\"translate(95.410156 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_2\">\r\n",
       "     <g id=\"line2d_11\">\r\n",
       "      <path clip-path=\"url(#p52175c097e)\" d=\"M 25.0313 179.497801 \r\n",
       "L 429.165354 179.497801 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_12\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"25.0313\" xlink:href=\"#m9e16d7b630\" y=\"179.497801\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_6\">\r\n",
       "      <!-- $\\mathregular{2.5}$ -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 19.1875 8.296875 \r\n",
       "L 53.609375 8.296875 \r\n",
       "L 53.609375 0 \r\n",
       "L 7.328125 0 \r\n",
       "L 7.328125 8.296875 \r\n",
       "Q 12.9375 14.109375 22.625 23.890625 \r\n",
       "Q 32.328125 33.6875 34.8125 36.53125 \r\n",
       "Q 39.546875 41.84375 41.421875 45.53125 \r\n",
       "Q 43.3125 49.21875 43.3125 52.78125 \r\n",
       "Q 43.3125 58.59375 39.234375 62.25 \r\n",
       "Q 35.15625 65.921875 28.609375 65.921875 \r\n",
       "Q 23.96875 65.921875 18.8125 64.3125 \r\n",
       "Q 13.671875 62.703125 7.8125 59.421875 \r\n",
       "L 7.8125 69.390625 \r\n",
       "Q 13.765625 71.78125 18.9375 73 \r\n",
       "Q 24.125 74.21875 28.421875 74.21875 \r\n",
       "Q 39.75 74.21875 46.484375 68.546875 \r\n",
       "Q 53.21875 62.890625 53.21875 53.421875 \r\n",
       "Q 53.21875 48.921875 51.53125 44.890625 \r\n",
       "Q 49.859375 40.875 45.40625 35.40625 \r\n",
       "Q 44.1875 33.984375 37.640625 27.21875 \r\n",
       "Q 31.109375 20.453125 19.1875 8.296875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-50\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(8.7313 182.537176)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-50\"/>\r\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "       <use transform=\"translate(95.410156 0.78125)\" xlink:href=\"#DejaVuSans-53\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_3\">\r\n",
       "     <g id=\"line2d_13\">\r\n",
       "      <path clip-path=\"url(#p52175c097e)\" d=\"M 25.0313 127.53805 \r\n",
       "L 429.165354 127.53805 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_14\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"25.0313\" xlink:href=\"#m9e16d7b630\" y=\"127.53805\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_7\">\r\n",
       "      <!-- $\\mathregular{5.0}$ -->\r\n",
       "      <g transform=\"translate(8.7313 130.577425)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-53\"/>\r\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "       <use transform=\"translate(95.410156 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_4\">\r\n",
       "     <g id=\"line2d_15\">\r\n",
       "      <path clip-path=\"url(#p52175c097e)\" d=\"M 25.0313 75.578298 \r\n",
       "L 429.165354 75.578298 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_16\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"25.0313\" xlink:href=\"#m9e16d7b630\" y=\"75.578298\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_8\">\r\n",
       "      <!-- $\\mathregular{7.5}$ -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 8.203125 72.90625 \r\n",
       "L 55.078125 72.90625 \r\n",
       "L 55.078125 68.703125 \r\n",
       "L 28.609375 0 \r\n",
       "L 18.3125 0 \r\n",
       "L 43.21875 64.59375 \r\n",
       "L 8.203125 64.59375 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-55\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(8.7313 78.617673)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.09375)\" xlink:href=\"#DejaVuSans-55\"/>\r\n",
       "       <use transform=\"translate(63.623047 0.09375)\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "       <use transform=\"translate(95.410156 0.09375)\" xlink:href=\"#DejaVuSans-53\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_5\">\r\n",
       "     <g id=\"line2d_17\">\r\n",
       "      <path clip-path=\"url(#p52175c097e)\" d=\"M 25.0313 23.618546 \r\n",
       "L 429.165354 23.618546 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_18\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"25.0313\" xlink:href=\"#m9e16d7b630\" y=\"23.618546\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_9\">\r\n",
       "      <!-- $\\mathregular{10.0}$ -->\r\n",
       "      <g transform=\"translate(3.6913 26.657921)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-49\"/>\r\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\r\n",
       "       <use transform=\"translate(127.246094 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "       <use transform=\"translate(159.033203 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_19\">\r\n",
       "    <path clip-path=\"url(#p52175c097e)\" d=\"M 36.469056 117.099172 \r\n",
       "L 38.380126 111.788221 \r\n",
       "L 40.291197 107.050591 \r\n",
       "L 42.202267 103.028647 \r\n",
       "L 44.113338 99.851282 \r\n",
       "L 45.068873 98.614802 \r\n",
       "L 46.024408 97.629452 \r\n",
       "L 46.979943 96.905652 \r\n",
       "L 47.935478 96.452248 \r\n",
       "L 48.891013 96.276426 \r\n",
       "L 49.846549 96.383636 \r\n",
       "L 50.802084 96.777543 \r\n",
       "L 51.757619 97.459978 \r\n",
       "L 52.713154 98.430911 \r\n",
       "L 53.668689 99.688439 \r\n",
       "L 54.624225 101.228787 \r\n",
       "L 55.57976 103.046326 \r\n",
       "L 57.49083 107.481387 \r\n",
       "L 59.401901 112.913077 \r\n",
       "L 61.312971 119.234729 \r\n",
       "L 63.224041 126.316584 \r\n",
       "L 66.090647 138.034404 \r\n",
       "L 70.868323 159.069721 \r\n",
       "L 74.690464 175.656909 \r\n",
       "L 77.557069 187.070035 \r\n",
       "L 79.46814 193.915218 \r\n",
       "L 81.37921 200.010351 \r\n",
       "L 83.29028 205.263013 \r\n",
       "L 85.201351 209.607161 \r\n",
       "L 86.156886 211.425449 \r\n",
       "L 87.112421 213.004401 \r\n",
       "L 88.067956 214.343594 \r\n",
       "L 89.023492 215.444318 \r\n",
       "L 89.979027 216.309544 \r\n",
       "L 90.934562 216.94386 \r\n",
       "L 91.890097 217.353411 \r\n",
       "L 92.845632 217.545811 \r\n",
       "L 93.801168 217.530053 \r\n",
       "L 94.756703 217.316406 \r\n",
       "L 95.712238 216.916298 \r\n",
       "L 96.667773 216.342194 \r\n",
       "L 97.623308 215.607467 \r\n",
       "L 99.534379 213.713329 \r\n",
       "L 101.445449 211.353626 \r\n",
       "L 103.35652 208.653342 \r\n",
       "L 107.17866 202.728389 \r\n",
       "L 111.000801 196.863831 \r\n",
       "L 113.867407 192.951699 \r\n",
       "L 115.778477 190.694838 \r\n",
       "L 117.689547 188.759527 \r\n",
       "L 119.600618 187.155309 \r\n",
       "L 121.511688 185.869424 \r\n",
       "L 123.422759 184.867892 \r\n",
       "L 125.333829 184.097428 \r\n",
       "L 128.200435 183.218365 \r\n",
       "L 132.022575 182.102402 \r\n",
       "L 133.933646 181.351613 \r\n",
       "L 135.844716 180.342786 \r\n",
       "L 137.755786 178.985511 \r\n",
       "L 139.666857 177.200007 \r\n",
       "L 141.577927 174.921105 \r\n",
       "L 143.488998 172.101715 \r\n",
       "L 145.400068 168.715647 \r\n",
       "L 147.311138 164.759672 \r\n",
       "L 149.222209 160.254742 \r\n",
       "L 151.133279 155.246313 \r\n",
       "L 153.999885 146.94754 \r\n",
       "L 157.822026 134.948942 \r\n",
       "L 162.599701 119.922654 \r\n",
       "L 165.466307 111.788221 \r\n",
       "L 167.377377 107.050591 \r\n",
       "L 169.288448 103.028647 \r\n",
       "L 171.199518 99.851282 \r\n",
       "L 172.155053 98.614802 \r\n",
       "L 173.110589 97.629452 \r\n",
       "L 174.066124 96.905652 \r\n",
       "L 175.021659 96.452248 \r\n",
       "L 175.977194 96.276426 \r\n",
       "L 176.932729 96.383636 \r\n",
       "L 177.888265 96.777543 \r\n",
       "L 178.8438 97.459978 \r\n",
       "L 179.799335 98.430911 \r\n",
       "L 180.75487 99.688439 \r\n",
       "L 181.710405 101.228787 \r\n",
       "L 182.665941 103.046326 \r\n",
       "L 184.577011 107.481387 \r\n",
       "L 186.488081 112.913077 \r\n",
       "L 188.399152 119.234729 \r\n",
       "L 190.310222 126.316584 \r\n",
       "L 193.176828 138.034404 \r\n",
       "L 197.954504 159.069721 \r\n",
       "L 201.776644 175.656909 \r\n",
       "L 204.64325 187.070035 \r\n",
       "L 206.55432 193.915218 \r\n",
       "L 208.465391 200.010351 \r\n",
       "L 210.376461 205.263013 \r\n",
       "L 212.287532 209.607161 \r\n",
       "L 213.243067 211.425449 \r\n",
       "L 214.198602 213.004401 \r\n",
       "L 215.154137 214.343594 \r\n",
       "L 216.109672 215.444318 \r\n",
       "L 217.065207 216.309544 \r\n",
       "L 218.020743 216.94386 \r\n",
       "L 218.976278 217.353411 \r\n",
       "L 219.931813 217.545811 \r\n",
       "L 220.887348 217.530053 \r\n",
       "L 221.842883 217.316406 \r\n",
       "L 222.798419 216.916298 \r\n",
       "L 223.753954 216.342194 \r\n",
       "L 224.709489 215.607467 \r\n",
       "L 226.620559 213.713329 \r\n",
       "L 228.53163 211.353626 \r\n",
       "L 230.4427 208.653342 \r\n",
       "L 234.264841 202.728389 \r\n",
       "L 238.086982 196.863831 \r\n",
       "L 240.953587 192.951699 \r\n",
       "L 242.864658 190.694838 \r\n",
       "L 244.775728 188.759527 \r\n",
       "L 246.686798 187.155309 \r\n",
       "L 248.597869 185.869424 \r\n",
       "L 250.508939 184.867892 \r\n",
       "L 252.42001 184.097428 \r\n",
       "L 255.286615 183.218365 \r\n",
       "L 259.108756 182.102402 \r\n",
       "L 261.019826 181.351613 \r\n",
       "L 262.930897 180.342786 \r\n",
       "L 264.841967 178.985511 \r\n",
       "L 266.753038 177.200007 \r\n",
       "L 268.664108 174.921105 \r\n",
       "L 270.575178 172.101715 \r\n",
       "L 272.486249 168.715647 \r\n",
       "L 274.397319 164.759672 \r\n",
       "L 276.308389 160.254742 \r\n",
       "L 278.21946 155.246313 \r\n",
       "L 281.086065 146.94754 \r\n",
       "L 284.908206 134.948942 \r\n",
       "L 289.685882 119.922654 \r\n",
       "L 292.552488 111.788221 \r\n",
       "L 294.463558 107.050591 \r\n",
       "L 296.374629 103.028647 \r\n",
       "L 298.285699 99.851282 \r\n",
       "L 299.241234 98.614802 \r\n",
       "L 300.196769 97.629452 \r\n",
       "L 301.152304 96.905652 \r\n",
       "L 302.10784 96.452248 \r\n",
       "L 303.063375 96.276426 \r\n",
       "L 304.01891 96.383636 \r\n",
       "L 304.974445 96.777543 \r\n",
       "L 305.92998 97.459978 \r\n",
       "L 306.885516 98.430911 \r\n",
       "L 307.841051 99.688439 \r\n",
       "L 308.796586 101.228787 \r\n",
       "L 309.752121 103.046326 \r\n",
       "L 311.663192 107.481387 \r\n",
       "L 313.574262 112.913077 \r\n",
       "L 315.485332 119.234729 \r\n",
       "L 317.396403 126.316584 \r\n",
       "L 320.263008 138.034404 \r\n",
       "L 325.040684 159.069721 \r\n",
       "L 328.862825 175.656909 \r\n",
       "L 331.729431 187.070035 \r\n",
       "L 333.640501 193.915218 \r\n",
       "L 335.551571 200.010351 \r\n",
       "L 337.462642 205.263013 \r\n",
       "L 339.373712 209.607161 \r\n",
       "L 340.329247 211.425449 \r\n",
       "L 341.284783 213.004401 \r\n",
       "L 342.240318 214.343594 \r\n",
       "L 343.195853 215.444318 \r\n",
       "L 344.151388 216.309544 \r\n",
       "L 345.106923 216.94386 \r\n",
       "L 346.062459 217.353411 \r\n",
       "L 347.017994 217.545811 \r\n",
       "L 347.973529 217.530053 \r\n",
       "L 348.929064 217.316406 \r\n",
       "L 349.884599 216.916298 \r\n",
       "L 350.840135 216.342194 \r\n",
       "L 351.79567 215.607467 \r\n",
       "L 353.70674 213.713329 \r\n",
       "L 355.617811 211.353626 \r\n",
       "L 357.528881 208.653342 \r\n",
       "L 361.351022 202.728389 \r\n",
       "L 365.173162 196.863831 \r\n",
       "L 368.039768 192.951699 \r\n",
       "L 369.950838 190.694838 \r\n",
       "L 371.861909 188.759527 \r\n",
       "L 373.772979 187.155309 \r\n",
       "L 375.68405 185.869424 \r\n",
       "L 377.59512 184.867892 \r\n",
       "L 379.50619 184.097428 \r\n",
       "L 382.372796 183.218365 \r\n",
       "L 386.194937 182.102402 \r\n",
       "L 388.106007 181.351613 \r\n",
       "L 390.017077 180.342786 \r\n",
       "L 391.928148 178.985511 \r\n",
       "L 393.839218 177.200007 \r\n",
       "L 395.750289 174.921105 \r\n",
       "L 397.661359 172.101715 \r\n",
       "L 399.572429 168.715647 \r\n",
       "L 401.4835 164.759672 \r\n",
       "L 403.39457 160.254742 \r\n",
       "L 405.305641 155.246313 \r\n",
       "L 408.172246 146.94754 \r\n",
       "L 411.994387 134.948942 \r\n",
       "L 416.772063 119.922654 \r\n",
       "L 417.727598 117.099172 \r\n",
       "L 417.727598 117.099172 \r\n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-width:2;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_20\">\r\n",
       "    <path clip-path=\"url(#p52175c097e)\" d=\"M 36.469056 125.253091 \r\n",
       "L 38.380126 119.953791 \r\n",
       "L 40.291197 115.250051 \r\n",
       "L 42.202267 111.281199 \r\n",
       "L 43.157802 109.611892 \r\n",
       "L 44.113338 108.171519 \r\n",
       "L 45.068873 106.972627 \r\n",
       "L 46.024408 106.026374 \r\n",
       "L 46.979943 105.342436 \r\n",
       "L 47.935478 104.928933 \r\n",
       "L 48.891013 104.792361 \r\n",
       "L 49.846549 104.937537 \r\n",
       "L 50.802084 105.367553 \r\n",
       "L 51.757619 106.083748 \r\n",
       "L 52.713154 107.085682 \r\n",
       "L 53.668689 108.371132 \r\n",
       "L 54.624225 109.936097 \r\n",
       "L 55.57976 111.774812 \r\n",
       "L 57.49083 116.241819 \r\n",
       "L 59.401901 121.692264 \r\n",
       "L 61.312971 128.021284 \r\n",
       "L 63.224041 135.101753 \r\n",
       "L 66.090647 146.80785 \r\n",
       "L 70.868323 167.821896 \r\n",
       "L 74.690464 184.406593 \r\n",
       "L 77.557069 195.827445 \r\n",
       "L 79.46814 202.680408 \r\n",
       "L 81.37921 208.783668 \r\n",
       "L 83.29028 214.043341 \r\n",
       "L 85.201351 218.392236 \r\n",
       "L 86.156886 220.211823 \r\n",
       "L 87.112421 221.791309 \r\n",
       "L 88.067956 223.130279 \r\n",
       "L 89.023492 224.23007 \r\n",
       "L 89.979027 225.093728 \r\n",
       "L 90.934562 225.725948 \r\n",
       "L 91.890097 226.133 \r\n",
       "L 92.845632 226.322645 \r\n",
       "L 93.801168 226.304027 \r\n",
       "L 94.756703 226.087572 \r\n",
       "L 95.712238 225.684856 \r\n",
       "L 96.667773 225.108482 \r\n",
       "L 97.623308 224.371942 \r\n",
       "L 99.534379 222.475892 \r\n",
       "L 101.445449 220.116837 \r\n",
       "L 103.35652 217.41963 \r\n",
       "L 107.17866 211.505222 \r\n",
       "L 111.000801 205.649583 \r\n",
       "L 113.867407 201.738073 \r\n",
       "L 115.778477 199.477876 \r\n",
       "L 117.689547 197.536571 \r\n",
       "L 119.600618 195.924615 \r\n",
       "L 121.511688 194.630583 \r\n",
       "L 123.422759 193.622025 \r\n",
       "L 125.333829 192.847112 \r\n",
       "L 128.200435 191.968389 \r\n",
       "L 132.022575 190.866052 \r\n",
       "L 133.933646 190.125059 \r\n",
       "L 135.844716 189.124938 \r\n",
       "L 137.755786 187.77228 \r\n",
       "L 139.666857 185.984151 \r\n",
       "L 141.577927 183.692474 \r\n",
       "L 143.488998 180.847894 \r\n",
       "L 145.400068 177.422956 \r\n",
       "L 147.311138 173.414443 \r\n",
       "L 149.222209 168.844752 \r\n",
       "L 151.133279 163.762249 \r\n",
       "L 153.999885 155.344463 \r\n",
       "L 157.822026 143.201494 \r\n",
       "L 162.599701 128.079502 \r\n",
       "L 164.510772 122.538174 \r\n",
       "L 166.421842 117.518465 \r\n",
       "L 168.332913 113.165596 \r\n",
       "L 170.243983 109.611892 \r\n",
       "L 171.199518 108.171519 \r\n",
       "L 172.155053 106.972627 \r\n",
       "L 173.110589 106.026374 \r\n",
       "L 174.066124 105.342436 \r\n",
       "L 175.021659 104.928933 \r\n",
       "L 175.977194 104.792361 \r\n",
       "L 176.932729 104.937537 \r\n",
       "L 177.888265 105.367553 \r\n",
       "L 178.8438 106.083748 \r\n",
       "L 179.799335 107.085682 \r\n",
       "L 180.75487 108.371132 \r\n",
       "L 181.710405 109.936097 \r\n",
       "L 182.665941 111.774812 \r\n",
       "L 184.577011 116.241819 \r\n",
       "L 186.488081 121.692264 \r\n",
       "L 188.399152 128.021284 \r\n",
       "L 190.310222 135.101753 \r\n",
       "L 193.176828 146.80785 \r\n",
       "L 197.954504 167.821896 \r\n",
       "L 201.776644 184.406593 \r\n",
       "L 204.64325 195.827445 \r\n",
       "L 206.55432 202.680408 \r\n",
       "L 208.465391 208.783668 \r\n",
       "L 210.376461 214.043341 \r\n",
       "L 212.287532 218.392236 \r\n",
       "L 213.243067 220.211823 \r\n",
       "L 214.198602 221.791309 \r\n",
       "L 215.154137 223.130279 \r\n",
       "L 216.109672 224.23007 \r\n",
       "L 217.065207 225.093728 \r\n",
       "L 218.020743 225.725948 \r\n",
       "L 218.976278 226.133 \r\n",
       "L 219.931813 226.322645 \r\n",
       "L 220.887348 226.304027 \r\n",
       "L 221.842883 226.087572 \r\n",
       "L 222.798419 225.684856 \r\n",
       "L 223.753954 225.108482 \r\n",
       "L 224.709489 224.371942 \r\n",
       "L 226.620559 222.475892 \r\n",
       "L 228.53163 220.116837 \r\n",
       "L 230.4427 217.41963 \r\n",
       "L 234.264841 211.505222 \r\n",
       "L 238.086982 205.649583 \r\n",
       "L 240.953587 201.738073 \r\n",
       "L 242.864658 199.477876 \r\n",
       "L 244.775728 197.536571 \r\n",
       "L 246.686798 195.924615 \r\n",
       "L 248.597869 194.630583 \r\n",
       "L 250.508939 193.622025 \r\n",
       "L 252.42001 192.847112 \r\n",
       "L 255.286615 191.968389 \r\n",
       "L 259.108756 190.866052 \r\n",
       "L 261.019826 190.125059 \r\n",
       "L 262.930897 189.124938 \r\n",
       "L 264.841967 187.77228 \r\n",
       "L 266.753038 185.984151 \r\n",
       "L 268.664108 183.692474 \r\n",
       "L 270.575178 180.847894 \r\n",
       "L 272.486249 177.422956 \r\n",
       "L 274.397319 173.414443 \r\n",
       "L 276.308389 168.844752 \r\n",
       "L 278.21946 163.762249 \r\n",
       "L 281.086065 155.344463 \r\n",
       "L 284.908206 143.201494 \r\n",
       "L 289.685882 128.079502 \r\n",
       "L 291.596953 122.538174 \r\n",
       "L 293.508023 117.518465 \r\n",
       "L 295.419093 113.165596 \r\n",
       "L 297.330164 109.611892 \r\n",
       "L 298.285699 108.171519 \r\n",
       "L 299.241234 106.972627 \r\n",
       "L 300.196769 106.026374 \r\n",
       "L 301.152304 105.342436 \r\n",
       "L 302.10784 104.928933 \r\n",
       "L 303.063375 104.792361 \r\n",
       "L 304.01891 104.937537 \r\n",
       "L 304.974445 105.367553 \r\n",
       "L 305.92998 106.083748 \r\n",
       "L 306.885516 107.085682 \r\n",
       "L 307.841051 108.371132 \r\n",
       "L 308.796586 109.936097 \r\n",
       "L 309.752121 111.774812 \r\n",
       "L 311.663192 116.241819 \r\n",
       "L 313.574262 121.692264 \r\n",
       "L 315.485332 128.021284 \r\n",
       "L 317.396403 135.101753 \r\n",
       "L 320.263008 146.80785 \r\n",
       "L 325.040684 167.821896 \r\n",
       "L 328.862825 184.406593 \r\n",
       "L 331.729431 195.827445 \r\n",
       "L 333.640501 202.680408 \r\n",
       "L 335.551571 208.783668 \r\n",
       "L 337.462642 214.043341 \r\n",
       "L 339.373712 218.392236 \r\n",
       "L 340.329247 220.211823 \r\n",
       "L 341.284783 221.791309 \r\n",
       "L 342.240318 223.130279 \r\n",
       "L 343.195853 224.23007 \r\n",
       "L 344.151388 225.093728 \r\n",
       "L 345.106923 225.725948 \r\n",
       "L 346.062459 226.133 \r\n",
       "L 347.017994 226.322645 \r\n",
       "L 347.973529 226.304027 \r\n",
       "L 348.929064 226.087572 \r\n",
       "L 349.884599 225.684856 \r\n",
       "L 350.840135 225.108482 \r\n",
       "L 351.79567 224.371942 \r\n",
       "L 353.70674 222.475892 \r\n",
       "L 355.617811 220.116837 \r\n",
       "L 357.528881 217.41963 \r\n",
       "L 361.351022 211.505222 \r\n",
       "L 365.173162 205.649583 \r\n",
       "L 368.039768 201.738073 \r\n",
       "L 369.950838 199.477876 \r\n",
       "L 371.861909 197.536571 \r\n",
       "L 373.772979 195.924615 \r\n",
       "L 375.68405 194.630583 \r\n",
       "L 377.59512 193.622025 \r\n",
       "L 379.50619 192.847112 \r\n",
       "L 382.372796 191.968389 \r\n",
       "L 386.194937 190.866052 \r\n",
       "L 388.106007 190.125059 \r\n",
       "L 390.017077 189.124938 \r\n",
       "L 391.928148 187.77228 \r\n",
       "L 393.839218 185.984151 \r\n",
       "L 395.750289 183.692474 \r\n",
       "L 397.661359 180.847894 \r\n",
       "L 399.572429 177.422956 \r\n",
       "L 401.4835 173.414443 \r\n",
       "L 403.39457 168.844752 \r\n",
       "L 405.305641 163.762249 \r\n",
       "L 408.172246 155.344463 \r\n",
       "L 411.994387 143.201494 \r\n",
       "L 416.772063 128.079502 \r\n",
       "L 417.727598 125.253091 \r\n",
       "L 417.727598 125.253091 \r\n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-dasharray:1,1.65;stroke-dashoffset:0;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_3\">\r\n",
       "    <path d=\"M 25.0313 273.025354 \r\n",
       "L 25.0313 2.834646 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_4\">\r\n",
       "    <path d=\"M 25.0313 273.025354 \r\n",
       "L 429.165354 273.025354 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_21\">\r\n",
       "    <path clip-path=\"url(#p52175c097e)\" d=\"M 36.469056 108.945253 \r\n",
       "L 38.380126 103.622651 \r\n",
       "L 40.291197 98.851131 \r\n",
       "L 42.202267 94.776096 \r\n",
       "L 44.113338 91.531045 \r\n",
       "L 45.068873 90.256978 \r\n",
       "L 46.024408 89.232529 \r\n",
       "L 46.979943 88.468868 \r\n",
       "L 47.935478 87.975563 \r\n",
       "L 48.891013 87.76049 \r\n",
       "L 49.846549 87.829735 \r\n",
       "L 50.802084 88.187533 \r\n",
       "L 51.757619 88.836208 \r\n",
       "L 52.713154 89.77614 \r\n",
       "L 53.668689 91.005746 \r\n",
       "L 54.624225 92.521478 \r\n",
       "L 55.57976 94.31784 \r\n",
       "L 57.49083 98.720955 \r\n",
       "L 59.401901 104.133891 \r\n",
       "L 61.312971 110.448175 \r\n",
       "L 63.224041 117.531414 \r\n",
       "L 66.090647 129.260958 \r\n",
       "L 70.868323 150.317545 \r\n",
       "L 74.690464 166.907225 \r\n",
       "L 77.557069 178.312625 \r\n",
       "L 79.46814 185.150029 \r\n",
       "L 81.37921 191.237034 \r\n",
       "L 83.29028 196.482686 \r\n",
       "L 85.201351 200.822087 \r\n",
       "L 87.112421 204.217494 \r\n",
       "L 88.067956 205.556908 \r\n",
       "L 89.023492 206.658566 \r\n",
       "L 89.979027 207.52536 \r\n",
       "L 90.934562 208.161773 \r\n",
       "L 91.890097 208.573822 \r\n",
       "L 92.845632 208.768977 \r\n",
       "L 93.801168 208.756079 \r\n",
       "L 94.756703 208.54524 \r\n",
       "L 95.712238 208.147739 \r\n",
       "L 96.667773 207.575906 \r\n",
       "L 97.623308 206.842992 \r\n",
       "L 99.534379 204.950767 \r\n",
       "L 101.445449 202.590415 \r\n",
       "L 103.35652 199.887053 \r\n",
       "L 107.17866 193.951555 \r\n",
       "L 111.000801 188.078079 \r\n",
       "L 113.867407 184.165325 \r\n",
       "L 115.778477 181.9118 \r\n",
       "L 117.689547 179.982484 \r\n",
       "L 119.600618 178.386003 \r\n",
       "L 121.511688 177.108265 \r\n",
       "L 123.422759 176.113758 \r\n",
       "L 125.333829 175.347744 \r\n",
       "L 128.200435 174.46834 \r\n",
       "L 132.022575 173.338752 \r\n",
       "L 133.933646 172.578168 \r\n",
       "L 135.844716 171.560634 \r\n",
       "L 137.755786 170.198741 \r\n",
       "L 139.666857 168.415863 \r\n",
       "L 141.577927 166.149736 \r\n",
       "L 143.488998 163.355536 \r\n",
       "L 145.400068 160.008338 \r\n",
       "L 147.311138 156.104901 \r\n",
       "L 149.222209 151.664731 \r\n",
       "L 151.133279 146.730378 \r\n",
       "L 153.999885 138.550618 \r\n",
       "L 157.822026 126.69639 \r\n",
       "L 162.599701 111.765805 \r\n",
       "L 165.466307 103.622651 \r\n",
       "L 167.377377 98.851131 \r\n",
       "L 169.288448 94.776096 \r\n",
       "L 171.199518 91.531045 \r\n",
       "L 172.155053 90.256978 \r\n",
       "L 173.110589 89.232529 \r\n",
       "L 174.066124 88.468868 \r\n",
       "L 175.021659 87.975563 \r\n",
       "L 175.977194 87.76049 \r\n",
       "L 176.932729 87.829735 \r\n",
       "L 177.888265 88.187533 \r\n",
       "L 178.8438 88.836208 \r\n",
       "L 179.799335 89.77614 \r\n",
       "L 180.75487 91.005746 \r\n",
       "L 181.710405 92.521478 \r\n",
       "L 182.665941 94.31784 \r\n",
       "L 184.577011 98.720955 \r\n",
       "L 186.488081 104.133891 \r\n",
       "L 188.399152 110.448175 \r\n",
       "L 190.310222 117.531414 \r\n",
       "L 193.176828 129.260958 \r\n",
       "L 197.954504 150.317545 \r\n",
       "L 201.776644 166.907225 \r\n",
       "L 204.64325 178.312625 \r\n",
       "L 206.55432 185.150029 \r\n",
       "L 208.465391 191.237034 \r\n",
       "L 210.376461 196.482686 \r\n",
       "L 212.287532 200.822087 \r\n",
       "L 214.198602 204.217494 \r\n",
       "L 215.154137 205.556908 \r\n",
       "L 216.109672 206.658566 \r\n",
       "L 217.065207 207.52536 \r\n",
       "L 218.020743 208.161773 \r\n",
       "L 218.976278 208.573822 \r\n",
       "L 219.931813 208.768977 \r\n",
       "L 220.887348 208.756079 \r\n",
       "L 221.842883 208.54524 \r\n",
       "L 222.798419 208.147739 \r\n",
       "L 223.753954 207.575906 \r\n",
       "L 224.709489 206.842992 \r\n",
       "L 226.620559 204.950767 \r\n",
       "L 228.53163 202.590415 \r\n",
       "L 230.4427 199.887053 \r\n",
       "L 234.264841 193.951555 \r\n",
       "L 238.086982 188.078079 \r\n",
       "L 240.953587 184.165325 \r\n",
       "L 242.864658 181.9118 \r\n",
       "L 244.775728 179.982484 \r\n",
       "L 246.686798 178.386003 \r\n",
       "L 248.597869 177.108265 \r\n",
       "L 250.508939 176.113758 \r\n",
       "L 252.42001 175.347744 \r\n",
       "L 255.286615 174.46834 \r\n",
       "L 259.108756 173.338752 \r\n",
       "L 261.019826 172.578168 \r\n",
       "L 262.930897 171.560634 \r\n",
       "L 264.841967 170.198741 \r\n",
       "L 266.753038 168.415863 \r\n",
       "L 268.664108 166.149736 \r\n",
       "L 270.575178 163.355536 \r\n",
       "L 272.486249 160.008338 \r\n",
       "L 274.397319 156.104901 \r\n",
       "L 276.308389 151.664731 \r\n",
       "L 278.21946 146.730378 \r\n",
       "L 281.086065 138.550618 \r\n",
       "L 284.908206 126.69639 \r\n",
       "L 289.685882 111.765805 \r\n",
       "L 292.552488 103.622651 \r\n",
       "L 294.463558 98.851131 \r\n",
       "L 296.374629 94.776096 \r\n",
       "L 298.285699 91.531045 \r\n",
       "L 299.241234 90.256978 \r\n",
       "L 300.196769 89.232529 \r\n",
       "L 301.152304 88.468868 \r\n",
       "L 302.10784 87.975563 \r\n",
       "L 303.063375 87.76049 \r\n",
       "L 304.01891 87.829735 \r\n",
       "L 304.974445 88.187533 \r\n",
       "L 305.92998 88.836208 \r\n",
       "L 306.885516 89.77614 \r\n",
       "L 307.841051 91.005746 \r\n",
       "L 308.796586 92.521478 \r\n",
       "L 309.752121 94.31784 \r\n",
       "L 311.663192 98.720955 \r\n",
       "L 313.574262 104.133891 \r\n",
       "L 315.485332 110.448175 \r\n",
       "L 317.396403 117.531414 \r\n",
       "L 320.263008 129.260958 \r\n",
       "L 325.040684 150.317545 \r\n",
       "L 328.862825 166.907225 \r\n",
       "L 331.729431 178.312625 \r\n",
       "L 333.640501 185.150029 \r\n",
       "L 335.551571 191.237034 \r\n",
       "L 337.462642 196.482686 \r\n",
       "L 339.373712 200.822087 \r\n",
       "L 341.284783 204.217494 \r\n",
       "L 342.240318 205.556908 \r\n",
       "L 343.195853 206.658566 \r\n",
       "L 344.151388 207.52536 \r\n",
       "L 345.106923 208.161773 \r\n",
       "L 346.062459 208.573822 \r\n",
       "L 347.017994 208.768977 \r\n",
       "L 347.973529 208.756079 \r\n",
       "L 348.929064 208.54524 \r\n",
       "L 349.884599 208.147739 \r\n",
       "L 350.840135 207.575906 \r\n",
       "L 351.79567 206.842992 \r\n",
       "L 353.70674 204.950767 \r\n",
       "L 355.617811 202.590415 \r\n",
       "L 357.528881 199.887053 \r\n",
       "L 361.351022 193.951555 \r\n",
       "L 365.173162 188.078079 \r\n",
       "L 368.039768 184.165325 \r\n",
       "L 369.950838 181.9118 \r\n",
       "L 371.861909 179.982484 \r\n",
       "L 373.772979 178.386003 \r\n",
       "L 375.68405 177.108265 \r\n",
       "L 377.59512 176.113758 \r\n",
       "L 379.50619 175.347744 \r\n",
       "L 382.372796 174.46834 \r\n",
       "L 386.194937 173.338752 \r\n",
       "L 388.106007 172.578168 \r\n",
       "L 390.017077 171.560634 \r\n",
       "L 391.928148 170.198741 \r\n",
       "L 393.839218 168.415863 \r\n",
       "L 395.750289 166.149736 \r\n",
       "L 397.661359 163.355536 \r\n",
       "L 399.572429 160.008338 \r\n",
       "L 401.4835 156.104901 \r\n",
       "L 403.39457 151.664731 \r\n",
       "L 405.305641 146.730378 \r\n",
       "L 408.172246 138.550618 \r\n",
       "L 411.994387 126.69639 \r\n",
       "L 416.772063 111.765805 \r\n",
       "L 417.727598 108.945253 \r\n",
       "L 417.727598 108.945253 \r\n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-dasharray:1,1.65;stroke-dashoffset:0;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_22\">\r\n",
       "    <path clip-path=\"url(#p52175c097e)\" d=\"M 36.469056 140.448443 \r\n",
       "L 38.380126 135.141564 \r\n",
       "L 40.291197 130.415805 \r\n",
       "L 42.202267 126.412545 \r\n",
       "L 43.157802 124.722323 \r\n",
       "L 44.113338 123.259153 \r\n",
       "L 45.068873 122.03606 \r\n",
       "L 46.024408 121.06469 \r\n",
       "L 46.979943 120.355202 \r\n",
       "L 47.935478 119.916184 \r\n",
       "L 48.891013 119.754569 \r\n",
       "L 49.846549 119.875577 \r\n",
       "L 50.802084 120.282656 \r\n",
       "L 51.757619 120.97745 \r\n",
       "L 52.713154 121.959768 \r\n",
       "L 53.668689 123.227582 \r\n",
       "L 54.624225 124.777021 \r\n",
       "L 55.57976 126.602398 \r\n",
       "L 57.49083 131.049316 \r\n",
       "L 59.401901 136.487983 \r\n",
       "L 61.312971 142.81238 \r\n",
       "L 63.224041 149.893718 \r\n",
       "L 66.090647 161.607173 \r\n",
       "L 70.868323 182.634581 \r\n",
       "L 74.690464 199.220844 \r\n",
       "L 77.557069 210.63684 \r\n",
       "L 79.46814 217.484915 \r\n",
       "L 81.37921 223.583072 \r\n",
       "L 83.29028 228.838344 \r\n",
       "L 85.201351 233.184261 \r\n",
       "L 86.156886 235.003032 \r\n",
       "L 87.112421 236.582184 \r\n",
       "L 88.067956 237.921293 \r\n",
       "L 89.023492 239.02167 \r\n",
       "L 89.979027 239.886311 \r\n",
       "L 90.934562 240.519847 \r\n",
       "L 91.890097 240.928467 \r\n",
       "L 92.845632 241.119841 \r\n",
       "L 93.801168 241.103019 \r\n",
       "L 94.756703 240.888326 \r\n",
       "L 95.712238 240.487248 \r\n",
       "L 96.667773 239.9123 \r\n",
       "L 97.623308 239.176898 \r\n",
       "L 99.534379 237.28205 \r\n",
       "L 101.445449 234.922587 \r\n",
       "L 103.35652 232.223447 \r\n",
       "L 107.17866 226.302419 \r\n",
       "L 111.000801 220.441183 \r\n",
       "L 113.867407 216.529282 \r\n",
       "L 115.778477 214.271178 \r\n",
       "L 117.689547 212.333635 \r\n",
       "L 119.600618 210.726537 \r\n",
       "L 121.511688 209.437623 \r\n",
       "L 123.422759 208.43348 \r\n",
       "L 125.333829 207.661363 \r\n",
       "L 128.200435 206.782426 \r\n",
       "L 132.022575 205.671527 \r\n",
       "L 133.933646 204.924382 \r\n",
       "L 135.844716 203.918796 \r\n",
       "L 137.755786 202.563241 \r\n",
       "L 139.666857 200.77676 \r\n",
       "L 141.577927 198.493101 \r\n",
       "L 143.488998 195.664349 \r\n",
       "L 145.400068 192.263881 \r\n",
       "L 147.311138 188.288529 \r\n",
       "L 149.222209 183.759855 \r\n",
       "L 151.133279 178.724457 \r\n",
       "L 153.999885 170.382778 \r\n",
       "L 157.822026 158.33284 \r\n",
       "L 162.599701 143.272948 \r\n",
       "L 165.466307 135.141564 \r\n",
       "L 167.377377 130.415805 \r\n",
       "L 169.288448 126.412545 \r\n",
       "L 170.243983 124.722323 \r\n",
       "L 171.199518 123.259153 \r\n",
       "L 172.155053 122.03606 \r\n",
       "L 173.110589 121.06469 \r\n",
       "L 174.066124 120.355202 \r\n",
       "L 175.021659 119.916184 \r\n",
       "L 175.977194 119.754569 \r\n",
       "L 176.932729 119.875577 \r\n",
       "L 177.888265 120.282656 \r\n",
       "L 178.8438 120.97745 \r\n",
       "L 179.799335 121.959768 \r\n",
       "L 180.75487 123.227582 \r\n",
       "L 181.710405 124.777021 \r\n",
       "L 182.665941 126.602398 \r\n",
       "L 184.577011 131.049316 \r\n",
       "L 186.488081 136.487983 \r\n",
       "L 188.399152 142.81238 \r\n",
       "L 190.310222 149.893718 \r\n",
       "L 193.176828 161.607173 \r\n",
       "L 197.954504 182.634581 \r\n",
       "L 201.776644 199.220844 \r\n",
       "L 204.64325 210.63684 \r\n",
       "L 206.55432 217.484915 \r\n",
       "L 208.465391 223.583072 \r\n",
       "L 210.376461 228.838344 \r\n",
       "L 212.287532 233.184261 \r\n",
       "L 213.243067 235.003032 \r\n",
       "L 214.198602 236.582184 \r\n",
       "L 215.154137 237.921293 \r\n",
       "L 216.109672 239.02167 \r\n",
       "L 217.065207 239.886311 \r\n",
       "L 218.020743 240.519847 \r\n",
       "L 218.976278 240.928467 \r\n",
       "L 219.931813 241.119841 \r\n",
       "L 220.887348 241.103019 \r\n",
       "L 221.842883 240.888326 \r\n",
       "L 222.798419 240.487248 \r\n",
       "L 223.753954 239.9123 \r\n",
       "L 224.709489 239.176898 \r\n",
       "L 226.620559 237.28205 \r\n",
       "L 228.53163 234.922587 \r\n",
       "L 230.4427 232.223447 \r\n",
       "L 234.264841 226.302419 \r\n",
       "L 238.086982 220.441183 \r\n",
       "L 240.953587 216.529282 \r\n",
       "L 242.864658 214.271178 \r\n",
       "L 244.775728 212.333635 \r\n",
       "L 246.686798 210.726537 \r\n",
       "L 248.597869 209.437623 \r\n",
       "L 250.508939 208.43348 \r\n",
       "L 252.42001 207.661363 \r\n",
       "L 255.286615 206.782426 \r\n",
       "L 259.108756 205.671527 \r\n",
       "L 261.019826 204.924382 \r\n",
       "L 262.930897 203.918796 \r\n",
       "L 264.841967 202.563241 \r\n",
       "L 266.753038 200.77676 \r\n",
       "L 268.664108 198.493101 \r\n",
       "L 270.575178 195.664349 \r\n",
       "L 272.486249 192.263881 \r\n",
       "L 274.397319 188.288529 \r\n",
       "L 276.308389 183.759855 \r\n",
       "L 278.21946 178.724457 \r\n",
       "L 281.086065 170.382778 \r\n",
       "L 284.908206 158.33284 \r\n",
       "L 289.685882 143.272948 \r\n",
       "L 292.552488 135.141564 \r\n",
       "L 294.463558 130.415805 \r\n",
       "L 296.374629 126.412545 \r\n",
       "L 297.330164 124.722323 \r\n",
       "L 298.285699 123.259153 \r\n",
       "L 299.241234 122.03606 \r\n",
       "L 300.196769 121.06469 \r\n",
       "L 301.152304 120.355202 \r\n",
       "L 302.10784 119.916184 \r\n",
       "L 303.063375 119.754569 \r\n",
       "L 304.01891 119.875577 \r\n",
       "L 304.974445 120.282656 \r\n",
       "L 305.92998 120.97745 \r\n",
       "L 306.885516 121.959768 \r\n",
       "L 307.841051 123.227582 \r\n",
       "L 308.796586 124.777021 \r\n",
       "L 309.752121 126.602398 \r\n",
       "L 311.663192 131.049316 \r\n",
       "L 313.574262 136.487983 \r\n",
       "L 315.485332 142.81238 \r\n",
       "L 317.396403 149.893718 \r\n",
       "L 320.263008 161.607173 \r\n",
       "L 325.040684 182.634581 \r\n",
       "L 328.862825 199.220844 \r\n",
       "L 331.729431 210.63684 \r\n",
       "L 333.640501 217.484915 \r\n",
       "L 335.551571 223.583072 \r\n",
       "L 337.462642 228.838344 \r\n",
       "L 339.373712 233.184261 \r\n",
       "L 340.329247 235.003032 \r\n",
       "L 341.284783 236.582184 \r\n",
       "L 342.240318 237.921293 \r\n",
       "L 343.195853 239.02167 \r\n",
       "L 344.151388 239.886311 \r\n",
       "L 345.106923 240.519847 \r\n",
       "L 346.062459 240.928467 \r\n",
       "L 347.017994 241.119841 \r\n",
       "L 347.973529 241.103019 \r\n",
       "L 348.929064 240.888326 \r\n",
       "L 349.884599 240.487248 \r\n",
       "L 350.840135 239.9123 \r\n",
       "L 351.79567 239.176898 \r\n",
       "L 353.70674 237.28205 \r\n",
       "L 355.617811 234.922587 \r\n",
       "L 357.528881 232.223447 \r\n",
       "L 361.351022 226.302419 \r\n",
       "L 365.173162 220.441183 \r\n",
       "L 368.039768 216.529282 \r\n",
       "L 369.950838 214.271178 \r\n",
       "L 371.861909 212.333635 \r\n",
       "L 373.772979 210.726537 \r\n",
       "L 375.68405 209.437623 \r\n",
       "L 377.59512 208.43348 \r\n",
       "L 379.50619 207.661363 \r\n",
       "L 382.372796 206.782426 \r\n",
       "L 386.194937 205.671527 \r\n",
       "L 388.106007 204.924382 \r\n",
       "L 390.017077 203.918796 \r\n",
       "L 391.928148 202.563241 \r\n",
       "L 393.839218 200.77676 \r\n",
       "L 395.750289 198.493101 \r\n",
       "L 397.661359 195.664349 \r\n",
       "L 399.572429 192.263881 \r\n",
       "L 401.4835 188.288529 \r\n",
       "L 403.39457 183.759855 \r\n",
       "L 405.305641 178.724457 \r\n",
       "L 408.172246 170.382778 \r\n",
       "L 411.994387 158.33284 \r\n",
       "L 416.772063 143.272948 \r\n",
       "L 417.727598 140.448443 \r\n",
       "L 417.727598 140.448443 \r\n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-dasharray:3.7,1.6;stroke-dashoffset:0;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_23\">\r\n",
       "    <path clip-path=\"url(#p52175c097e)\" d=\"M 36.469056 93.7499 \r\n",
       "L 38.380126 88.434879 \r\n",
       "L 40.291197 83.685377 \r\n",
       "L 42.202267 79.644749 \r\n",
       "L 44.113338 76.443411 \r\n",
       "L 45.068873 75.193545 \r\n",
       "L 46.024408 74.194214 \r\n",
       "L 46.979943 73.456102 \r\n",
       "L 47.935478 72.988313 \r\n",
       "L 48.891013 72.798282 \r\n",
       "L 49.846549 72.891695 \r\n",
       "L 50.802084 73.27243 \r\n",
       "L 51.757619 73.942506 \r\n",
       "L 52.713154 74.902053 \r\n",
       "L 53.668689 76.149296 \r\n",
       "L 54.624225 77.680554 \r\n",
       "L 55.57976 79.490253 \r\n",
       "L 57.49083 83.913459 \r\n",
       "L 59.401901 89.338171 \r\n",
       "L 61.312971 95.657079 \r\n",
       "L 63.224041 102.739449 \r\n",
       "L 66.090647 114.461635 \r\n",
       "L 70.868323 135.50486 \r\n",
       "L 74.690464 152.092973 \r\n",
       "L 77.557069 163.50323 \r\n",
       "L 79.46814 170.345521 \r\n",
       "L 81.37921 176.43763 \r\n",
       "L 83.29028 181.687682 \r\n",
       "L 85.201351 186.030062 \r\n",
       "L 86.156886 187.847866 \r\n",
       "L 87.112421 189.426619 \r\n",
       "L 88.067956 190.765894 \r\n",
       "L 89.023492 191.866967 \r\n",
       "L 89.979027 192.732776 \r\n",
       "L 90.934562 193.367874 \r\n",
       "L 91.890097 193.778355 \r\n",
       "L 92.845632 193.971781 \r\n",
       "L 93.801168 193.957088 \r\n",
       "L 94.756703 193.744486 \r\n",
       "L 95.712238 193.345347 \r\n",
       "L 96.667773 192.772088 \r\n",
       "L 97.623308 192.038036 \r\n",
       "L 99.534379 190.144609 \r\n",
       "L 101.445449 187.784664 \r\n",
       "L 103.35652 185.083236 \r\n",
       "L 107.17866 179.154359 \r\n",
       "L 111.000801 173.286479 \r\n",
       "L 113.867407 169.374115 \r\n",
       "L 115.778477 167.118498 \r\n",
       "L 117.689547 165.185419 \r\n",
       "L 119.600618 163.58408 \r\n",
       "L 121.511688 162.301226 \r\n",
       "L 123.422759 161.302304 \r\n",
       "L 125.333829 160.533493 \r\n",
       "L 128.200435 159.654303 \r\n",
       "L 132.022575 158.533278 \r\n",
       "L 133.933646 157.778845 \r\n",
       "L 135.844716 156.766775 \r\n",
       "L 137.755786 155.40778 \r\n",
       "L 139.666857 153.623254 \r\n",
       "L 141.577927 151.349109 \r\n",
       "L 143.488998 148.539081 \r\n",
       "L 145.400068 145.167413 \r\n",
       "L 147.311138 141.230814 \r\n",
       "L 149.222209 136.749628 \r\n",
       "L 151.133279 131.76817 \r\n",
       "L 153.999885 123.512302 \r\n",
       "L 157.822026 111.565044 \r\n",
       "L 162.599701 96.572359 \r\n",
       "L 165.466307 88.434879 \r\n",
       "L 167.377377 83.685377 \r\n",
       "L 169.288448 79.644749 \r\n",
       "L 171.199518 76.443411 \r\n",
       "L 172.155053 75.193545 \r\n",
       "L 173.110589 74.194214 \r\n",
       "L 174.066124 73.456102 \r\n",
       "L 175.021659 72.988313 \r\n",
       "L 175.977194 72.798282 \r\n",
       "L 176.932729 72.891695 \r\n",
       "L 177.888265 73.27243 \r\n",
       "L 178.8438 73.942506 \r\n",
       "L 179.799335 74.902053 \r\n",
       "L 180.75487 76.149296 \r\n",
       "L 181.710405 77.680554 \r\n",
       "L 182.665941 79.490253 \r\n",
       "L 184.577011 83.913459 \r\n",
       "L 186.488081 89.338171 \r\n",
       "L 188.399152 95.657079 \r\n",
       "L 190.310222 102.739449 \r\n",
       "L 193.176828 114.461635 \r\n",
       "L 197.954504 135.50486 \r\n",
       "L 201.776644 152.092973 \r\n",
       "L 204.64325 163.50323 \r\n",
       "L 206.55432 170.345521 \r\n",
       "L 208.465391 176.43763 \r\n",
       "L 210.376461 181.687682 \r\n",
       "L 212.287532 186.030062 \r\n",
       "L 213.243067 187.847866 \r\n",
       "L 214.198602 189.426619 \r\n",
       "L 215.154137 190.765894 \r\n",
       "L 216.109672 191.866967 \r\n",
       "L 217.065207 192.732776 \r\n",
       "L 218.020743 193.367874 \r\n",
       "L 218.976278 193.778355 \r\n",
       "L 219.931813 193.971781 \r\n",
       "L 220.887348 193.957088 \r\n",
       "L 221.842883 193.744486 \r\n",
       "L 222.798419 193.345347 \r\n",
       "L 223.753954 192.772088 \r\n",
       "L 224.709489 192.038036 \r\n",
       "L 226.620559 190.144609 \r\n",
       "L 228.53163 187.784664 \r\n",
       "L 230.4427 185.083236 \r\n",
       "L 234.264841 179.154359 \r\n",
       "L 238.086982 173.286479 \r\n",
       "L 240.953587 169.374115 \r\n",
       "L 242.864658 167.118498 \r\n",
       "L 244.775728 165.185419 \r\n",
       "L 246.686798 163.58408 \r\n",
       "L 248.597869 162.301226 \r\n",
       "L 250.508939 161.302304 \r\n",
       "L 252.42001 160.533493 \r\n",
       "L 255.286615 159.654303 \r\n",
       "L 259.108756 158.533278 \r\n",
       "L 261.019826 157.778845 \r\n",
       "L 262.930897 156.766775 \r\n",
       "L 264.841967 155.40778 \r\n",
       "L 266.753038 153.623254 \r\n",
       "L 268.664108 151.349109 \r\n",
       "L 270.575178 148.539081 \r\n",
       "L 272.486249 145.167413 \r\n",
       "L 274.397319 141.230814 \r\n",
       "L 276.308389 136.749628 \r\n",
       "L 278.21946 131.76817 \r\n",
       "L 281.086065 123.512302 \r\n",
       "L 284.908206 111.565044 \r\n",
       "L 289.685882 96.572359 \r\n",
       "L 292.552488 88.434879 \r\n",
       "L 294.463558 83.685377 \r\n",
       "L 296.374629 79.644749 \r\n",
       "L 298.285699 76.443411 \r\n",
       "L 299.241234 75.193545 \r\n",
       "L 300.196769 74.194214 \r\n",
       "L 301.152304 73.456102 \r\n",
       "L 302.10784 72.988313 \r\n",
       "L 303.063375 72.798282 \r\n",
       "L 304.01891 72.891695 \r\n",
       "L 304.974445 73.27243 \r\n",
       "L 305.92998 73.942506 \r\n",
       "L 306.885516 74.902053 \r\n",
       "L 307.841051 76.149296 \r\n",
       "L 308.796586 77.680554 \r\n",
       "L 309.752121 79.490253 \r\n",
       "L 311.663192 83.913459 \r\n",
       "L 313.574262 89.338171 \r\n",
       "L 315.485332 95.657079 \r\n",
       "L 317.396403 102.739449 \r\n",
       "L 320.263008 114.461635 \r\n",
       "L 325.040684 135.50486 \r\n",
       "L 328.862825 152.092973 \r\n",
       "L 331.729431 163.50323 \r\n",
       "L 333.640501 170.345521 \r\n",
       "L 335.551571 176.43763 \r\n",
       "L 337.462642 181.687682 \r\n",
       "L 339.373712 186.030062 \r\n",
       "L 340.329247 187.847866 \r\n",
       "L 341.284783 189.426619 \r\n",
       "L 342.240318 190.765894 \r\n",
       "L 343.195853 191.866967 \r\n",
       "L 344.151388 192.732776 \r\n",
       "L 345.106923 193.367874 \r\n",
       "L 346.062459 193.778355 \r\n",
       "L 347.017994 193.971781 \r\n",
       "L 347.973529 193.957088 \r\n",
       "L 348.929064 193.744486 \r\n",
       "L 349.884599 193.345347 \r\n",
       "L 350.840135 192.772088 \r\n",
       "L 351.79567 192.038036 \r\n",
       "L 353.70674 190.144609 \r\n",
       "L 355.617811 187.784664 \r\n",
       "L 357.528881 185.083236 \r\n",
       "L 361.351022 179.154359 \r\n",
       "L 365.173162 173.286479 \r\n",
       "L 368.039768 169.374115 \r\n",
       "L 369.950838 167.118498 \r\n",
       "L 371.861909 165.185419 \r\n",
       "L 373.772979 163.58408 \r\n",
       "L 375.68405 162.301226 \r\n",
       "L 377.59512 161.302304 \r\n",
       "L 379.50619 160.533493 \r\n",
       "L 382.372796 159.654303 \r\n",
       "L 386.194937 158.533278 \r\n",
       "L 388.106007 157.778845 \r\n",
       "L 390.017077 156.766775 \r\n",
       "L 391.928148 155.40778 \r\n",
       "L 393.839218 153.623254 \r\n",
       "L 395.750289 151.349109 \r\n",
       "L 397.661359 148.539081 \r\n",
       "L 399.572429 145.167413 \r\n",
       "L 401.4835 141.230814 \r\n",
       "L 403.39457 136.749628 \r\n",
       "L 405.305641 131.76817 \r\n",
       "L 408.172246 123.512302 \r\n",
       "L 411.994387 111.565044 \r\n",
       "L 416.772063 96.572359 \r\n",
       "L 417.727598 93.7499 \r\n",
       "L 417.727598 93.7499 \r\n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-dasharray:3.7,1.6;stroke-dashoffset:0;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_24\">\r\n",
       "    <path clip-path=\"url(#p52175c097e)\" d=\"M 36.469056 127.53805 \r\n",
       "L 38.380126 121.85847 \r\n",
       "L 40.291197 116.704536 \r\n",
       "L 42.202267 112.222686 \r\n",
       "L 44.113338 108.546079 \r\n",
       "L 45.068873 107.046603 \r\n",
       "L 46.024408 105.790086 \r\n",
       "L 46.979943 104.78752 \r\n",
       "L 47.935478 104.048324 \r\n",
       "L 48.891013 103.580259 \r\n",
       "L 49.846549 103.38936 \r\n",
       "L 50.802084 103.479874 \r\n",
       "L 51.757619 103.854217 \r\n",
       "L 52.713154 104.512947 \r\n",
       "L 53.668689 105.454749 \r\n",
       "L 54.624225 106.676438 \r\n",
       "L 55.57976 108.172973 \r\n",
       "L 56.535295 109.937492 \r\n",
       "L 58.446365 114.234213 \r\n",
       "L 60.357436 119.477387 \r\n",
       "L 62.268506 125.553086 \r\n",
       "L 64.179577 132.326078 \r\n",
       "L 67.046182 143.455943 \r\n",
       "L 76.601534 182.061317 \r\n",
       "L 78.512604 188.822743 \r\n",
       "L 80.423675 194.93699 \r\n",
       "L 82.334745 200.303003 \r\n",
       "L 84.245816 204.84484 \r\n",
       "L 86.156886 208.513343 \r\n",
       "L 87.112421 210.01226 \r\n",
       "L 88.067956 211.286888 \r\n",
       "L 89.023492 212.338792 \r\n",
       "L 89.979027 213.171183 \r\n",
       "L 90.934562 213.788857 \r\n",
       "L 91.890097 214.19813 \r\n",
       "L 92.845632 214.406752 \r\n",
       "L 93.801168 214.42381 \r\n",
       "L 94.756703 214.259631 \r\n",
       "L 95.712238 213.925657 \r\n",
       "L 96.667773 213.434326 \r\n",
       "L 98.578844 212.033519 \r\n",
       "L 100.489914 210.17144 \r\n",
       "L 102.400984 207.96922 \r\n",
       "L 106.223125 203.034611 \r\n",
       "L 110.045266 198.1561 \r\n",
       "L 111.956336 195.981279 \r\n",
       "L 113.867407 194.079684 \r\n",
       "L 115.778477 192.498728 \r\n",
       "L 117.689547 191.263615 \r\n",
       "L 119.600618 190.376721 \r\n",
       "L 121.511688 189.817884 \r\n",
       "L 123.422759 189.545576 \r\n",
       "L 125.333829 189.498936 \r\n",
       "L 129.15597 189.759984 \r\n",
       "L 132.022575 189.888268 \r\n",
       "L 133.933646 189.747558 \r\n",
       "L 135.844716 189.305705 \r\n",
       "L 137.755786 188.466907 \r\n",
       "L 139.666857 187.146619 \r\n",
       "L 141.577927 185.275587 \r\n",
       "L 143.488998 182.803345 \r\n",
       "L 145.400068 179.701064 \r\n",
       "L 147.311138 175.96361 \r\n",
       "L 149.222209 171.61077 \r\n",
       "L 151.133279 166.687549 \r\n",
       "L 153.04435 161.263551 \r\n",
       "L 155.910955 152.397045 \r\n",
       "L 164.510772 124.642094 \r\n",
       "L 166.421842 119.206389 \r\n",
       "L 168.332913 114.370912 \r\n",
       "L 170.243983 110.27605 \r\n",
       "L 171.199518 108.546079 \r\n",
       "L 172.155053 107.046603 \r\n",
       "L 173.110589 105.790086 \r\n",
       "L 174.066124 104.78752 \r\n",
       "L 175.021659 104.048324 \r\n",
       "L 175.977194 103.580259 \r\n",
       "L 176.932729 103.38936 \r\n",
       "L 177.888265 103.479874 \r\n",
       "L 178.8438 103.854217 \r\n",
       "L 179.799335 104.512947 \r\n",
       "L 180.75487 105.454749 \r\n",
       "L 181.710405 106.676438 \r\n",
       "L 182.665941 108.172973 \r\n",
       "L 183.621476 109.937492 \r\n",
       "L 185.532546 114.234213 \r\n",
       "L 187.443617 119.477387 \r\n",
       "L 189.354687 125.553086 \r\n",
       "L 191.265757 132.326078 \r\n",
       "L 194.132363 143.455943 \r\n",
       "L 203.687715 182.061317 \r\n",
       "L 205.598785 188.822743 \r\n",
       "L 207.509856 194.93699 \r\n",
       "L 209.420926 200.303003 \r\n",
       "L 211.331996 204.84484 \r\n",
       "L 213.243067 208.513343 \r\n",
       "L 214.198602 210.01226 \r\n",
       "L 215.154137 211.286888 \r\n",
       "L 216.109672 212.338792 \r\n",
       "L 217.065207 213.171183 \r\n",
       "L 218.020743 213.788857 \r\n",
       "L 218.976278 214.19813 \r\n",
       "L 219.931813 214.406752 \r\n",
       "L 220.887348 214.42381 \r\n",
       "L 221.842883 214.259631 \r\n",
       "L 222.798419 213.925657 \r\n",
       "L 223.753954 213.434326 \r\n",
       "L 225.665024 212.033519 \r\n",
       "L 227.576095 210.17144 \r\n",
       "L 229.487165 207.96922 \r\n",
       "L 233.309306 203.034611 \r\n",
       "L 237.131447 198.1561 \r\n",
       "L 239.042517 195.981279 \r\n",
       "L 240.953587 194.079684 \r\n",
       "L 242.864658 192.498728 \r\n",
       "L 244.775728 191.263615 \r\n",
       "L 246.686798 190.376721 \r\n",
       "L 248.597869 189.817884 \r\n",
       "L 250.508939 189.545576 \r\n",
       "L 252.42001 189.498936 \r\n",
       "L 256.24215 189.759984 \r\n",
       "L 259.108756 189.888268 \r\n",
       "L 261.019826 189.747558 \r\n",
       "L 262.930897 189.305705 \r\n",
       "L 264.841967 188.466907 \r\n",
       "L 266.753038 187.146619 \r\n",
       "L 268.664108 185.275587 \r\n",
       "L 270.575178 182.803345 \r\n",
       "L 272.486249 179.701064 \r\n",
       "L 274.397319 175.96361 \r\n",
       "L 276.308389 171.61077 \r\n",
       "L 278.21946 166.687549 \r\n",
       "L 280.13053 161.263551 \r\n",
       "L 282.997136 152.397045 \r\n",
       "L 291.596953 124.642094 \r\n",
       "L 293.508023 119.206389 \r\n",
       "L 295.419093 114.370912 \r\n",
       "L 297.330164 110.27605 \r\n",
       "L 298.285699 108.546079 \r\n",
       "L 299.241234 107.046603 \r\n",
       "L 300.196769 105.790086 \r\n",
       "L 301.152304 104.78752 \r\n",
       "L 302.10784 104.048324 \r\n",
       "L 303.063375 103.580259 \r\n",
       "L 304.01891 103.38936 \r\n",
       "L 304.974445 103.479874 \r\n",
       "L 305.92998 103.854217 \r\n",
       "L 306.885516 104.512947 \r\n",
       "L 307.841051 105.454749 \r\n",
       "L 308.796586 106.676438 \r\n",
       "L 309.752121 108.172973 \r\n",
       "L 310.707656 109.937492 \r\n",
       "L 312.618727 114.234213 \r\n",
       "L 314.529797 119.477387 \r\n",
       "L 316.440868 125.553086 \r\n",
       "L 318.351938 132.326078 \r\n",
       "L 321.218544 143.455943 \r\n",
       "L 330.773895 182.061317 \r\n",
       "L 332.684966 188.822743 \r\n",
       "L 334.596036 194.93699 \r\n",
       "L 336.507107 200.303003 \r\n",
       "L 338.418177 204.84484 \r\n",
       "L 340.329247 208.513343 \r\n",
       "L 341.284783 210.01226 \r\n",
       "L 342.240318 211.286888 \r\n",
       "L 343.195853 212.338792 \r\n",
       "L 344.151388 213.171183 \r\n",
       "L 345.106923 213.788857 \r\n",
       "L 346.062459 214.19813 \r\n",
       "L 347.017994 214.406752 \r\n",
       "L 347.973529 214.42381 \r\n",
       "L 348.929064 214.259631 \r\n",
       "L 349.884599 213.925657 \r\n",
       "L 350.840135 213.434326 \r\n",
       "L 352.751205 212.033519 \r\n",
       "L 354.662275 210.17144 \r\n",
       "L 356.573346 207.96922 \r\n",
       "L 360.395486 203.034611 \r\n",
       "L 364.217627 198.1561 \r\n",
       "L 366.128698 195.981279 \r\n",
       "L 368.039768 194.079684 \r\n",
       "L 369.950838 192.498728 \r\n",
       "L 371.861909 191.263615 \r\n",
       "L 373.772979 190.376721 \r\n",
       "L 375.68405 189.817884 \r\n",
       "L 377.59512 189.545576 \r\n",
       "L 379.50619 189.498936 \r\n",
       "L 383.328331 189.759984 \r\n",
       "L 386.194937 189.888268 \r\n",
       "L 388.106007 189.747558 \r\n",
       "L 390.017077 189.305705 \r\n",
       "L 391.928148 188.466907 \r\n",
       "L 393.839218 187.146619 \r\n",
       "L 395.750289 185.275587 \r\n",
       "L 397.661359 182.803345 \r\n",
       "L 399.572429 179.701064 \r\n",
       "L 401.4835 175.96361 \r\n",
       "L 403.39457 171.61077 \r\n",
       "L 405.305641 166.687549 \r\n",
       "L 407.216711 161.263551 \r\n",
       "L 410.083317 152.397045 \r\n",
       "L 417.727598 127.53805 \r\n",
       "L 417.727598 127.53805 \r\n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-opacity:0.85;stroke-width:1.4;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"PathCollection_1\">\r\n",
       "    <defs>\r\n",
       "     <path d=\"M 0 2 \r\n",
       "C 0.530406 2 1.03916 1.789267 1.414214 1.414214 \r\n",
       "C 1.789267 1.03916 2 0.530406 2 0 \r\n",
       "C 2 -0.530406 1.789267 -1.03916 1.414214 -1.414214 \r\n",
       "C 1.03916 -1.789267 0.530406 -2 0 -2 \r\n",
       "C -0.530406 -2 -1.03916 -1.789267 -1.414214 -1.414214 \r\n",
       "C -1.789267 -1.03916 -2 -0.530406 -2 0 \r\n",
       "C -2 0.530406 -1.789267 1.03916 -1.414214 1.414214 \r\n",
       "C -1.03916 1.789267 -0.530406 2 0 2 \r\n",
       "z\r\n",
       "\" id=\"m8f733229f2\" style=\"stroke:#0000ff;stroke-opacity:0.5;\"/>\r\n",
       "    </defs>\r\n",
       "    <g clip-path=\"url(#p52175c097e)\">\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"163.555237\" xlink:href=\"#m8f733229f2\" y=\"121.838622\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"167.654791\" xlink:href=\"#m8f733229f2\" y=\"102.051687\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"171.754345\" xlink:href=\"#m8f733229f2\" y=\"101.250869\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"175.853899\" xlink:href=\"#m8f733229f2\" y=\"95.543636\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"179.953454\" xlink:href=\"#m8f733229f2\" y=\"105.58695\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"184.053008\" xlink:href=\"#m8f733229f2\" y=\"91.689913\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"188.152562\" xlink:href=\"#m8f733229f2\" y=\"113.54668\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"192.252116\" xlink:href=\"#m8f733229f2\" y=\"140.537174\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"196.35167\" xlink:href=\"#m8f733229f2\" y=\"147.783565\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"200.451225\" xlink:href=\"#m8f733229f2\" y=\"172.098926\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"204.550779\" xlink:href=\"#m8f733229f2\" y=\"208.887779\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"208.650333\" xlink:href=\"#m8f733229f2\" y=\"203.960257\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"212.749887\" xlink:href=\"#m8f733229f2\" y=\"199.626198\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"216.849441\" xlink:href=\"#m8f733229f2\" y=\"205.899706\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"220.948996\" xlink:href=\"#m8f733229f2\" y=\"206.741943\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"225.04855\" xlink:href=\"#m8f733229f2\" y=\"227.040181\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"229.148104\" xlink:href=\"#m8f733229f2\" y=\"197.917929\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"233.247658\" xlink:href=\"#m8f733229f2\" y=\"213.118538\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"237.347213\" xlink:href=\"#m8f733229f2\" y=\"202.400345\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"241.446767\" xlink:href=\"#m8f733229f2\" y=\"203.558236\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"245.546321\" xlink:href=\"#m8f733229f2\" y=\"183.740903\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"249.645875\" xlink:href=\"#m8f733229f2\" y=\"188.943089\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"253.745429\" xlink:href=\"#m8f733229f2\" y=\"166.940791\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"257.844984\" xlink:href=\"#m8f733229f2\" y=\"189.258015\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"261.944538\" xlink:href=\"#m8f733229f2\" y=\"182.822846\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"266.044092\" xlink:href=\"#m8f733229f2\" y=\"178.229184\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"270.143646\" xlink:href=\"#m8f733229f2\" y=\"166.451088\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"274.243201\" xlink:href=\"#m8f733229f2\" y=\"148.352699\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"278.342755\" xlink:href=\"#m8f733229f2\" y=\"178.4078\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"282.442309\" xlink:href=\"#m8f733229f2\" y=\"148.840812\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"286.541863\" xlink:href=\"#m8f733229f2\" y=\"123.453383\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"290.641417\" xlink:href=\"#m8f733229f2\" y=\"114.272644\"/>\r\n",
       "    </g>\r\n",
       "   </g>\r\n",
       "   <g id=\"legend_1\">\r\n",
       "    <g id=\"patch_5\">\r\n",
       "     <path d=\"M 325.586604 74.347146 \r\n",
       "L 425.165354 74.347146 \r\n",
       "L 425.165354 6.834646 \r\n",
       "L 325.586604 6.834646 \r\n",
       "z\r\n",
       "\" style=\"fill:#ffffff;stroke:#000000;stroke-linejoin:miter;\"/>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_25\">\r\n",
       "     <path d=\"M 331.986604 16.513396 \r\n",
       "L 347.986604 16.513396 \r\n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linejoin:miter;\"/>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_26\"/>\r\n",
       "    <g id=\"text_10\">\r\n",
       "     <!-- fitting curve -->\r\n",
       "     <defs>\r\n",
       "      <path d=\"M 37.109375 75.984375 \r\n",
       "L 37.109375 68.5 \r\n",
       "L 28.515625 68.5 \r\n",
       "Q 23.6875 68.5 21.796875 66.546875 \r\n",
       "Q 19.921875 64.59375 19.921875 59.515625 \r\n",
       "L 19.921875 54.6875 \r\n",
       "L 34.71875 54.6875 \r\n",
       "L 34.71875 47.703125 \r\n",
       "L 19.921875 47.703125 \r\n",
       "L 19.921875 0 \r\n",
       "L 10.890625 0 \r\n",
       "L 10.890625 47.703125 \r\n",
       "L 2.296875 47.703125 \r\n",
       "L 2.296875 54.6875 \r\n",
       "L 10.890625 54.6875 \r\n",
       "L 10.890625 58.5 \r\n",
       "Q 10.890625 67.625 15.140625 71.796875 \r\n",
       "Q 19.390625 75.984375 28.609375 75.984375 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-102\"/>\r\n",
       "      <path d=\"M 9.421875 54.6875 \r\n",
       "L 18.40625 54.6875 \r\n",
       "L 18.40625 0 \r\n",
       "L 9.421875 0 \r\n",
       "z\r\n",
       "M 9.421875 75.984375 \r\n",
       "L 18.40625 75.984375 \r\n",
       "L 18.40625 64.59375 \r\n",
       "L 9.421875 64.59375 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-105\"/>\r\n",
       "      <path d=\"M 18.3125 70.21875 \r\n",
       "L 18.3125 54.6875 \r\n",
       "L 36.8125 54.6875 \r\n",
       "L 36.8125 47.703125 \r\n",
       "L 18.3125 47.703125 \r\n",
       "L 18.3125 18.015625 \r\n",
       "Q 18.3125 11.328125 20.140625 9.421875 \r\n",
       "Q 21.96875 7.515625 27.59375 7.515625 \r\n",
       "L 36.8125 7.515625 \r\n",
       "L 36.8125 0 \r\n",
       "L 27.59375 0 \r\n",
       "Q 17.1875 0 13.234375 3.875 \r\n",
       "Q 9.28125 7.765625 9.28125 18.015625 \r\n",
       "L 9.28125 47.703125 \r\n",
       "L 2.6875 47.703125 \r\n",
       "L 2.6875 54.6875 \r\n",
       "L 9.28125 54.6875 \r\n",
       "L 9.28125 70.21875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-116\"/>\r\n",
       "      <path d=\"M 54.890625 33.015625 \r\n",
       "L 54.890625 0 \r\n",
       "L 45.90625 0 \r\n",
       "L 45.90625 32.71875 \r\n",
       "Q 45.90625 40.484375 42.875 44.328125 \r\n",
       "Q 39.84375 48.1875 33.796875 48.1875 \r\n",
       "Q 26.515625 48.1875 22.3125 43.546875 \r\n",
       "Q 18.109375 38.921875 18.109375 30.90625 \r\n",
       "L 18.109375 0 \r\n",
       "L 9.078125 0 \r\n",
       "L 9.078125 54.6875 \r\n",
       "L 18.109375 54.6875 \r\n",
       "L 18.109375 46.1875 \r\n",
       "Q 21.34375 51.125 25.703125 53.5625 \r\n",
       "Q 30.078125 56 35.796875 56 \r\n",
       "Q 45.21875 56 50.046875 50.171875 \r\n",
       "Q 54.890625 44.34375 54.890625 33.015625 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-110\"/>\r\n",
       "      <path d=\"M 45.40625 27.984375 \r\n",
       "Q 45.40625 37.75 41.375 43.109375 \r\n",
       "Q 37.359375 48.484375 30.078125 48.484375 \r\n",
       "Q 22.859375 48.484375 18.828125 43.109375 \r\n",
       "Q 14.796875 37.75 14.796875 27.984375 \r\n",
       "Q 14.796875 18.265625 18.828125 12.890625 \r\n",
       "Q 22.859375 7.515625 30.078125 7.515625 \r\n",
       "Q 37.359375 7.515625 41.375 12.890625 \r\n",
       "Q 45.40625 18.265625 45.40625 27.984375 \r\n",
       "z\r\n",
       "M 54.390625 6.78125 \r\n",
       "Q 54.390625 -7.171875 48.1875 -13.984375 \r\n",
       "Q 42 -20.796875 29.203125 -20.796875 \r\n",
       "Q 24.46875 -20.796875 20.265625 -20.09375 \r\n",
       "Q 16.0625 -19.390625 12.109375 -17.921875 \r\n",
       "L 12.109375 -9.1875 \r\n",
       "Q 16.0625 -11.328125 19.921875 -12.34375 \r\n",
       "Q 23.78125 -13.375 27.78125 -13.375 \r\n",
       "Q 36.625 -13.375 41.015625 -8.765625 \r\n",
       "Q 45.40625 -4.15625 45.40625 5.171875 \r\n",
       "L 45.40625 9.625 \r\n",
       "Q 42.625 4.78125 38.28125 2.390625 \r\n",
       "Q 33.9375 0 27.875 0 \r\n",
       "Q 17.828125 0 11.671875 7.65625 \r\n",
       "Q 5.515625 15.328125 5.515625 27.984375 \r\n",
       "Q 5.515625 40.671875 11.671875 48.328125 \r\n",
       "Q 17.828125 56 27.875 56 \r\n",
       "Q 33.9375 56 38.28125 53.609375 \r\n",
       "Q 42.625 51.21875 45.40625 46.390625 \r\n",
       "L 45.40625 54.6875 \r\n",
       "L 54.390625 54.6875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-103\"/>\r\n",
       "      <path id=\"DejaVuSans-32\"/>\r\n",
       "      <path d=\"M 48.78125 52.59375 \r\n",
       "L 48.78125 44.1875 \r\n",
       "Q 44.96875 46.296875 41.140625 47.34375 \r\n",
       "Q 37.3125 48.390625 33.40625 48.390625 \r\n",
       "Q 24.65625 48.390625 19.8125 42.84375 \r\n",
       "Q 14.984375 37.3125 14.984375 27.296875 \r\n",
       "Q 14.984375 17.28125 19.8125 11.734375 \r\n",
       "Q 24.65625 6.203125 33.40625 6.203125 \r\n",
       "Q 37.3125 6.203125 41.140625 7.25 \r\n",
       "Q 44.96875 8.296875 48.78125 10.40625 \r\n",
       "L 48.78125 2.09375 \r\n",
       "Q 45.015625 0.34375 40.984375 -0.53125 \r\n",
       "Q 36.96875 -1.421875 32.421875 -1.421875 \r\n",
       "Q 20.0625 -1.421875 12.78125 6.34375 \r\n",
       "Q 5.515625 14.109375 5.515625 27.296875 \r\n",
       "Q 5.515625 40.671875 12.859375 48.328125 \r\n",
       "Q 20.21875 56 33.015625 56 \r\n",
       "Q 37.15625 56 41.109375 55.140625 \r\n",
       "Q 45.0625 54.296875 48.78125 52.59375 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-99\"/>\r\n",
       "      <path d=\"M 8.5 21.578125 \r\n",
       "L 8.5 54.6875 \r\n",
       "L 17.484375 54.6875 \r\n",
       "L 17.484375 21.921875 \r\n",
       "Q 17.484375 14.15625 20.5 10.265625 \r\n",
       "Q 23.53125 6.390625 29.59375 6.390625 \r\n",
       "Q 36.859375 6.390625 41.078125 11.03125 \r\n",
       "Q 45.3125 15.671875 45.3125 23.6875 \r\n",
       "L 45.3125 54.6875 \r\n",
       "L 54.296875 54.6875 \r\n",
       "L 54.296875 0 \r\n",
       "L 45.3125 0 \r\n",
       "L 45.3125 8.40625 \r\n",
       "Q 42.046875 3.421875 37.71875 1 \r\n",
       "Q 33.40625 -1.421875 27.6875 -1.421875 \r\n",
       "Q 18.265625 -1.421875 13.375 4.4375 \r\n",
       "Q 8.5 10.296875 8.5 21.578125 \r\n",
       "z\r\n",
       "M 31.109375 56 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-117\"/>\r\n",
       "      <path d=\"M 41.109375 46.296875 \r\n",
       "Q 39.59375 47.171875 37.8125 47.578125 \r\n",
       "Q 36.03125 48 33.890625 48 \r\n",
       "Q 26.265625 48 22.1875 43.046875 \r\n",
       "Q 18.109375 38.09375 18.109375 28.8125 \r\n",
       "L 18.109375 0 \r\n",
       "L 9.078125 0 \r\n",
       "L 9.078125 54.6875 \r\n",
       "L 18.109375 54.6875 \r\n",
       "L 18.109375 46.1875 \r\n",
       "Q 20.953125 51.171875 25.484375 53.578125 \r\n",
       "Q 30.03125 56 36.53125 56 \r\n",
       "Q 37.453125 56 38.578125 55.875 \r\n",
       "Q 39.703125 55.765625 41.0625 55.515625 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-114\"/>\r\n",
       "      <path d=\"M 2.984375 54.6875 \r\n",
       "L 12.5 54.6875 \r\n",
       "L 29.59375 8.796875 \r\n",
       "L 46.6875 54.6875 \r\n",
       "L 56.203125 54.6875 \r\n",
       "L 35.6875 0 \r\n",
       "L 23.484375 0 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-118\"/>\r\n",
       "      <path d=\"M 56.203125 29.59375 \r\n",
       "L 56.203125 25.203125 \r\n",
       "L 14.890625 25.203125 \r\n",
       "Q 15.484375 15.921875 20.484375 11.0625 \r\n",
       "Q 25.484375 6.203125 34.421875 6.203125 \r\n",
       "Q 39.59375 6.203125 44.453125 7.46875 \r\n",
       "Q 49.3125 8.734375 54.109375 11.28125 \r\n",
       "L 54.109375 2.78125 \r\n",
       "Q 49.265625 0.734375 44.1875 -0.34375 \r\n",
       "Q 39.109375 -1.421875 33.890625 -1.421875 \r\n",
       "Q 20.796875 -1.421875 13.15625 6.1875 \r\n",
       "Q 5.515625 13.8125 5.515625 26.8125 \r\n",
       "Q 5.515625 40.234375 12.765625 48.109375 \r\n",
       "Q 20.015625 56 32.328125 56 \r\n",
       "Q 43.359375 56 49.78125 48.890625 \r\n",
       "Q 56.203125 41.796875 56.203125 29.59375 \r\n",
       "z\r\n",
       "M 47.21875 32.234375 \r\n",
       "Q 47.125 39.59375 43.09375 43.984375 \r\n",
       "Q 39.0625 48.390625 32.421875 48.390625 \r\n",
       "Q 24.90625 48.390625 20.390625 44.140625 \r\n",
       "Q 15.875 39.890625 15.1875 32.171875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-101\"/>\r\n",
       "     </defs>\r\n",
       "     <g transform=\"translate(354.386604 19.313396)scale(0.08 -0.08)\">\r\n",
       "      <use xlink:href=\"#DejaVuSans-102\"/>\r\n",
       "      <use x=\"35.205078\" xlink:href=\"#DejaVuSans-105\"/>\r\n",
       "      <use x=\"62.988281\" xlink:href=\"#DejaVuSans-116\"/>\r\n",
       "      <use x=\"102.197266\" xlink:href=\"#DejaVuSans-116\"/>\r\n",
       "      <use x=\"141.40625\" xlink:href=\"#DejaVuSans-105\"/>\r\n",
       "      <use x=\"169.189453\" xlink:href=\"#DejaVuSans-110\"/>\r\n",
       "      <use x=\"232.568359\" xlink:href=\"#DejaVuSans-103\"/>\r\n",
       "      <use x=\"296.044922\" xlink:href=\"#DejaVuSans-32\"/>\r\n",
       "      <use x=\"327.832031\" xlink:href=\"#DejaVuSans-99\"/>\r\n",
       "      <use x=\"382.8125\" xlink:href=\"#DejaVuSans-117\"/>\r\n",
       "      <use x=\"446.191406\" xlink:href=\"#DejaVuSans-114\"/>\r\n",
       "      <use x=\"487.304688\" xlink:href=\"#DejaVuSans-118\"/>\r\n",
       "      <use x=\"546.484375\" xlink:href=\"#DejaVuSans-101\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_27\">\r\n",
       "     <path d=\"M 331.986604 28.255896 \r\n",
       "L 347.986604 28.255896 \r\n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-dasharray:1,1.65;stroke-dashoffset:0;stroke-linejoin:miter;\"/>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_28\"/>\r\n",
       "    <g id=\"text_11\">\r\n",
       "     <!-- 95.0% conf. int. -->\r\n",
       "     <defs>\r\n",
       "      <path d=\"M 10.984375 1.515625 \r\n",
       "L 10.984375 10.5 \r\n",
       "Q 14.703125 8.734375 18.5 7.8125 \r\n",
       "Q 22.3125 6.890625 25.984375 6.890625 \r\n",
       "Q 35.75 6.890625 40.890625 13.453125 \r\n",
       "Q 46.046875 20.015625 46.78125 33.40625 \r\n",
       "Q 43.953125 29.203125 39.59375 26.953125 \r\n",
       "Q 35.25 24.703125 29.984375 24.703125 \r\n",
       "Q 19.046875 24.703125 12.671875 31.3125 \r\n",
       "Q 6.296875 37.9375 6.296875 49.421875 \r\n",
       "Q 6.296875 60.640625 12.9375 67.421875 \r\n",
       "Q 19.578125 74.21875 30.609375 74.21875 \r\n",
       "Q 43.265625 74.21875 49.921875 64.515625 \r\n",
       "Q 56.59375 54.828125 56.59375 36.375 \r\n",
       "Q 56.59375 19.140625 48.40625 8.859375 \r\n",
       "Q 40.234375 -1.421875 26.421875 -1.421875 \r\n",
       "Q 22.703125 -1.421875 18.890625 -0.6875 \r\n",
       "Q 15.09375 0.046875 10.984375 1.515625 \r\n",
       "z\r\n",
       "M 30.609375 32.421875 \r\n",
       "Q 37.25 32.421875 41.125 36.953125 \r\n",
       "Q 45.015625 41.5 45.015625 49.421875 \r\n",
       "Q 45.015625 57.28125 41.125 61.84375 \r\n",
       "Q 37.25 66.40625 30.609375 66.40625 \r\n",
       "Q 23.96875 66.40625 20.09375 61.84375 \r\n",
       "Q 16.21875 57.28125 16.21875 49.421875 \r\n",
       "Q 16.21875 41.5 20.09375 36.953125 \r\n",
       "Q 23.96875 32.421875 30.609375 32.421875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-57\"/>\r\n",
       "      <path d=\"M 72.703125 32.078125 \r\n",
       "Q 68.453125 32.078125 66.03125 28.46875 \r\n",
       "Q 63.625 24.859375 63.625 18.40625 \r\n",
       "Q 63.625 12.0625 66.03125 8.421875 \r\n",
       "Q 68.453125 4.78125 72.703125 4.78125 \r\n",
       "Q 76.859375 4.78125 79.265625 8.421875 \r\n",
       "Q 81.6875 12.0625 81.6875 18.40625 \r\n",
       "Q 81.6875 24.8125 79.265625 28.4375 \r\n",
       "Q 76.859375 32.078125 72.703125 32.078125 \r\n",
       "z\r\n",
       "M 72.703125 38.28125 \r\n",
       "Q 80.421875 38.28125 84.953125 32.90625 \r\n",
       "Q 89.5 27.546875 89.5 18.40625 \r\n",
       "Q 89.5 9.28125 84.9375 3.921875 \r\n",
       "Q 80.375 -1.421875 72.703125 -1.421875 \r\n",
       "Q 64.890625 -1.421875 60.34375 3.921875 \r\n",
       "Q 55.8125 9.28125 55.8125 18.40625 \r\n",
       "Q 55.8125 27.59375 60.375 32.9375 \r\n",
       "Q 64.9375 38.28125 72.703125 38.28125 \r\n",
       "z\r\n",
       "M 22.3125 68.015625 \r\n",
       "Q 18.109375 68.015625 15.6875 64.375 \r\n",
       "Q 13.28125 60.75 13.28125 54.390625 \r\n",
       "Q 13.28125 47.953125 15.671875 44.328125 \r\n",
       "Q 18.0625 40.71875 22.3125 40.71875 \r\n",
       "Q 26.5625 40.71875 28.96875 44.328125 \r\n",
       "Q 31.390625 47.953125 31.390625 54.390625 \r\n",
       "Q 31.390625 60.6875 28.953125 64.34375 \r\n",
       "Q 26.515625 68.015625 22.3125 68.015625 \r\n",
       "z\r\n",
       "M 66.40625 74.21875 \r\n",
       "L 74.21875 74.21875 \r\n",
       "L 28.609375 -1.421875 \r\n",
       "L 20.796875 -1.421875 \r\n",
       "z\r\n",
       "M 22.3125 74.21875 \r\n",
       "Q 30.03125 74.21875 34.609375 68.875 \r\n",
       "Q 39.203125 63.53125 39.203125 54.390625 \r\n",
       "Q 39.203125 45.171875 34.640625 39.84375 \r\n",
       "Q 30.078125 34.515625 22.3125 34.515625 \r\n",
       "Q 14.546875 34.515625 10.03125 39.859375 \r\n",
       "Q 5.515625 45.21875 5.515625 54.390625 \r\n",
       "Q 5.515625 63.484375 10.046875 68.84375 \r\n",
       "Q 14.59375 74.21875 22.3125 74.21875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-37\"/>\r\n",
       "      <path d=\"M 30.609375 48.390625 \r\n",
       "Q 23.390625 48.390625 19.1875 42.75 \r\n",
       "Q 14.984375 37.109375 14.984375 27.296875 \r\n",
       "Q 14.984375 17.484375 19.15625 11.84375 \r\n",
       "Q 23.34375 6.203125 30.609375 6.203125 \r\n",
       "Q 37.796875 6.203125 41.984375 11.859375 \r\n",
       "Q 46.1875 17.53125 46.1875 27.296875 \r\n",
       "Q 46.1875 37.015625 41.984375 42.703125 \r\n",
       "Q 37.796875 48.390625 30.609375 48.390625 \r\n",
       "z\r\n",
       "M 30.609375 56 \r\n",
       "Q 42.328125 56 49.015625 48.375 \r\n",
       "Q 55.71875 40.765625 55.71875 27.296875 \r\n",
       "Q 55.71875 13.875 49.015625 6.21875 \r\n",
       "Q 42.328125 -1.421875 30.609375 -1.421875 \r\n",
       "Q 18.84375 -1.421875 12.171875 6.21875 \r\n",
       "Q 5.515625 13.875 5.515625 27.296875 \r\n",
       "Q 5.515625 40.765625 12.171875 48.375 \r\n",
       "Q 18.84375 56 30.609375 56 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-111\"/>\r\n",
       "     </defs>\r\n",
       "     <g transform=\"translate(354.386604 31.055896)scale(0.08 -0.08)\">\r\n",
       "      <use xlink:href=\"#DejaVuSans-57\"/>\r\n",
       "      <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\r\n",
       "      <use x=\"127.246094\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "      <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\r\n",
       "      <use x=\"222.65625\" xlink:href=\"#DejaVuSans-37\"/>\r\n",
       "      <use x=\"317.675781\" xlink:href=\"#DejaVuSans-32\"/>\r\n",
       "      <use x=\"349.462891\" xlink:href=\"#DejaVuSans-99\"/>\r\n",
       "      <use x=\"404.443359\" xlink:href=\"#DejaVuSans-111\"/>\r\n",
       "      <use x=\"465.625\" xlink:href=\"#DejaVuSans-110\"/>\r\n",
       "      <use x=\"529.003906\" xlink:href=\"#DejaVuSans-102\"/>\r\n",
       "      <use x=\"564.099609\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "      <use x=\"595.886719\" xlink:href=\"#DejaVuSans-32\"/>\r\n",
       "      <use x=\"627.673828\" xlink:href=\"#DejaVuSans-105\"/>\r\n",
       "      <use x=\"655.457031\" xlink:href=\"#DejaVuSans-110\"/>\r\n",
       "      <use x=\"718.835938\" xlink:href=\"#DejaVuSans-116\"/>\r\n",
       "      <use x=\"758.044922\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_29\">\r\n",
       "     <path d=\"M 331.986604 39.998396 \r\n",
       "L 347.986604 39.998396 \r\n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-dasharray:3.7,1.6;stroke-dashoffset:0;stroke-linejoin:miter;\"/>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_30\"/>\r\n",
       "    <g id=\"text_12\">\r\n",
       "     <!-- 95.0% pred. int. -->\r\n",
       "     <defs>\r\n",
       "      <path d=\"M 18.109375 8.203125 \r\n",
       "L 18.109375 -20.796875 \r\n",
       "L 9.078125 -20.796875 \r\n",
       "L 9.078125 54.6875 \r\n",
       "L 18.109375 54.6875 \r\n",
       "L 18.109375 46.390625 \r\n",
       "Q 20.953125 51.265625 25.265625 53.625 \r\n",
       "Q 29.59375 56 35.59375 56 \r\n",
       "Q 45.5625 56 51.78125 48.09375 \r\n",
       "Q 58.015625 40.1875 58.015625 27.296875 \r\n",
       "Q 58.015625 14.40625 51.78125 6.484375 \r\n",
       "Q 45.5625 -1.421875 35.59375 -1.421875 \r\n",
       "Q 29.59375 -1.421875 25.265625 0.953125 \r\n",
       "Q 20.953125 3.328125 18.109375 8.203125 \r\n",
       "z\r\n",
       "M 48.6875 27.296875 \r\n",
       "Q 48.6875 37.203125 44.609375 42.84375 \r\n",
       "Q 40.53125 48.484375 33.40625 48.484375 \r\n",
       "Q 26.265625 48.484375 22.1875 42.84375 \r\n",
       "Q 18.109375 37.203125 18.109375 27.296875 \r\n",
       "Q 18.109375 17.390625 22.1875 11.75 \r\n",
       "Q 26.265625 6.109375 33.40625 6.109375 \r\n",
       "Q 40.53125 6.109375 44.609375 11.75 \r\n",
       "Q 48.6875 17.390625 48.6875 27.296875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-112\"/>\r\n",
       "      <path d=\"M 45.40625 46.390625 \r\n",
       "L 45.40625 75.984375 \r\n",
       "L 54.390625 75.984375 \r\n",
       "L 54.390625 0 \r\n",
       "L 45.40625 0 \r\n",
       "L 45.40625 8.203125 \r\n",
       "Q 42.578125 3.328125 38.25 0.953125 \r\n",
       "Q 33.9375 -1.421875 27.875 -1.421875 \r\n",
       "Q 17.96875 -1.421875 11.734375 6.484375 \r\n",
       "Q 5.515625 14.40625 5.515625 27.296875 \r\n",
       "Q 5.515625 40.1875 11.734375 48.09375 \r\n",
       "Q 17.96875 56 27.875 56 \r\n",
       "Q 33.9375 56 38.25 53.625 \r\n",
       "Q 42.578125 51.265625 45.40625 46.390625 \r\n",
       "z\r\n",
       "M 14.796875 27.296875 \r\n",
       "Q 14.796875 17.390625 18.875 11.75 \r\n",
       "Q 22.953125 6.109375 30.078125 6.109375 \r\n",
       "Q 37.203125 6.109375 41.296875 11.75 \r\n",
       "Q 45.40625 17.390625 45.40625 27.296875 \r\n",
       "Q 45.40625 37.203125 41.296875 42.84375 \r\n",
       "Q 37.203125 48.484375 30.078125 48.484375 \r\n",
       "Q 22.953125 48.484375 18.875 42.84375 \r\n",
       "Q 14.796875 37.203125 14.796875 27.296875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-100\"/>\r\n",
       "     </defs>\r\n",
       "     <g transform=\"translate(354.386604 42.798396)scale(0.08 -0.08)\">\r\n",
       "      <use xlink:href=\"#DejaVuSans-57\"/>\r\n",
       "      <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\r\n",
       "      <use x=\"127.246094\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "      <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\r\n",
       "      <use x=\"222.65625\" xlink:href=\"#DejaVuSans-37\"/>\r\n",
       "      <use x=\"317.675781\" xlink:href=\"#DejaVuSans-32\"/>\r\n",
       "      <use x=\"349.462891\" xlink:href=\"#DejaVuSans-112\"/>\r\n",
       "      <use x=\"412.939453\" xlink:href=\"#DejaVuSans-114\"/>\r\n",
       "      <use x=\"454.021484\" xlink:href=\"#DejaVuSans-101\"/>\r\n",
       "      <use x=\"515.544922\" xlink:href=\"#DejaVuSans-100\"/>\r\n",
       "      <use x=\"579.021484\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "      <use x=\"610.808594\" xlink:href=\"#DejaVuSans-32\"/>\r\n",
       "      <use x=\"642.595703\" xlink:href=\"#DejaVuSans-105\"/>\r\n",
       "      <use x=\"670.378906\" xlink:href=\"#DejaVuSans-110\"/>\r\n",
       "      <use x=\"733.757812\" xlink:href=\"#DejaVuSans-116\"/>\r\n",
       "      <use x=\"772.966797\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_31\">\r\n",
       "     <path d=\"M 331.986604 51.740896 \r\n",
       "L 347.986604 51.740896 \r\n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linejoin:miter;stroke-opacity:0.85;\"/>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_32\"/>\r\n",
       "    <g id=\"text_13\">\r\n",
       "     <!-- true curve -->\r\n",
       "     <g transform=\"translate(354.386604 54.540896)scale(0.08 -0.08)\">\r\n",
       "      <use xlink:href=\"#DejaVuSans-116\"/>\r\n",
       "      <use x=\"39.208984\" xlink:href=\"#DejaVuSans-114\"/>\r\n",
       "      <use x=\"80.322266\" xlink:href=\"#DejaVuSans-117\"/>\r\n",
       "      <use x=\"143.701172\" xlink:href=\"#DejaVuSans-101\"/>\r\n",
       "      <use x=\"205.224609\" xlink:href=\"#DejaVuSans-32\"/>\r\n",
       "      <use x=\"237.011719\" xlink:href=\"#DejaVuSans-99\"/>\r\n",
       "      <use x=\"291.992188\" xlink:href=\"#DejaVuSans-117\"/>\r\n",
       "      <use x=\"355.371094\" xlink:href=\"#DejaVuSans-114\"/>\r\n",
       "      <use x=\"396.484375\" xlink:href=\"#DejaVuSans-118\"/>\r\n",
       "      <use x=\"455.664062\" xlink:href=\"#DejaVuSans-101\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_33\">\r\n",
       "     <path d=\"M 331.986604 63.483396 \r\n",
       "L 347.986604 63.483396 \r\n",
       "\" style=\"fill:none;\"/>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_34\">\r\n",
       "     <defs>\r\n",
       "      <path d=\"M 0 3.2 \r\n",
       "C 0.84865 3.2 1.662656 2.862828 2.262742 2.262742 \r\n",
       "C 2.862828 1.662656 3.2 0.84865 3.2 0 \r\n",
       "C 3.2 -0.84865 2.862828 -1.662656 2.262742 -2.262742 \r\n",
       "C 1.662656 -2.862828 0.84865 -3.2 0 -3.2 \r\n",
       "C -0.84865 -3.2 -1.662656 -2.862828 -2.262742 -2.262742 \r\n",
       "C -2.862828 -1.662656 -3.2 -0.84865 -3.2 0 \r\n",
       "C -3.2 0.84865 -2.862828 1.662656 -2.262742 2.262742 \r\n",
       "C -1.662656 2.862828 -0.84865 3.2 0 3.2 \r\n",
       "z\r\n",
       "\" id=\"m7d7d4313ac\" style=\"stroke:#0000ff;stroke-opacity:0.5;stroke-width:1.6;\"/>\r\n",
       "     </defs>\r\n",
       "     <g>\r\n",
       "      <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;stroke-width:1.6;\" x=\"339.986604\" xlink:href=\"#m7d7d4313ac\" y=\"63.483396\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"text_14\">\r\n",
       "     <!-- sample -->\r\n",
       "     <defs>\r\n",
       "      <path d=\"M 44.28125 53.078125 \r\n",
       "L 44.28125 44.578125 \r\n",
       "Q 40.484375 46.53125 36.375 47.5 \r\n",
       "Q 32.28125 48.484375 27.875 48.484375 \r\n",
       "Q 21.1875 48.484375 17.84375 46.4375 \r\n",
       "Q 14.5 44.390625 14.5 40.28125 \r\n",
       "Q 14.5 37.15625 16.890625 35.375 \r\n",
       "Q 19.28125 33.59375 26.515625 31.984375 \r\n",
       "L 29.59375 31.296875 \r\n",
       "Q 39.15625 29.25 43.1875 25.515625 \r\n",
       "Q 47.21875 21.78125 47.21875 15.09375 \r\n",
       "Q 47.21875 7.46875 41.1875 3.015625 \r\n",
       "Q 35.15625 -1.421875 24.609375 -1.421875 \r\n",
       "Q 20.21875 -1.421875 15.453125 -0.5625 \r\n",
       "Q 10.6875 0.296875 5.421875 2 \r\n",
       "L 5.421875 11.28125 \r\n",
       "Q 10.40625 8.6875 15.234375 7.390625 \r\n",
       "Q 20.0625 6.109375 24.8125 6.109375 \r\n",
       "Q 31.15625 6.109375 34.5625 8.28125 \r\n",
       "Q 37.984375 10.453125 37.984375 14.40625 \r\n",
       "Q 37.984375 18.0625 35.515625 20.015625 \r\n",
       "Q 33.0625 21.96875 24.703125 23.78125 \r\n",
       "L 21.578125 24.515625 \r\n",
       "Q 13.234375 26.265625 9.515625 29.90625 \r\n",
       "Q 5.8125 33.546875 5.8125 39.890625 \r\n",
       "Q 5.8125 47.609375 11.28125 51.796875 \r\n",
       "Q 16.75 56 26.8125 56 \r\n",
       "Q 31.78125 56 36.171875 55.265625 \r\n",
       "Q 40.578125 54.546875 44.28125 53.078125 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-115\"/>\r\n",
       "      <path d=\"M 34.28125 27.484375 \r\n",
       "Q 23.390625 27.484375 19.1875 25 \r\n",
       "Q 14.984375 22.515625 14.984375 16.5 \r\n",
       "Q 14.984375 11.71875 18.140625 8.90625 \r\n",
       "Q 21.296875 6.109375 26.703125 6.109375 \r\n",
       "Q 34.1875 6.109375 38.703125 11.40625 \r\n",
       "Q 43.21875 16.703125 43.21875 25.484375 \r\n",
       "L 43.21875 27.484375 \r\n",
       "z\r\n",
       "M 52.203125 31.203125 \r\n",
       "L 52.203125 0 \r\n",
       "L 43.21875 0 \r\n",
       "L 43.21875 8.296875 \r\n",
       "Q 40.140625 3.328125 35.546875 0.953125 \r\n",
       "Q 30.953125 -1.421875 24.3125 -1.421875 \r\n",
       "Q 15.921875 -1.421875 10.953125 3.296875 \r\n",
       "Q 6 8.015625 6 15.921875 \r\n",
       "Q 6 25.140625 12.171875 29.828125 \r\n",
       "Q 18.359375 34.515625 30.609375 34.515625 \r\n",
       "L 43.21875 34.515625 \r\n",
       "L 43.21875 35.40625 \r\n",
       "Q 43.21875 41.609375 39.140625 45 \r\n",
       "Q 35.0625 48.390625 27.6875 48.390625 \r\n",
       "Q 23 48.390625 18.546875 47.265625 \r\n",
       "Q 14.109375 46.140625 10.015625 43.890625 \r\n",
       "L 10.015625 52.203125 \r\n",
       "Q 14.9375 54.109375 19.578125 55.046875 \r\n",
       "Q 24.21875 56 28.609375 56 \r\n",
       "Q 40.484375 56 46.34375 49.84375 \r\n",
       "Q 52.203125 43.703125 52.203125 31.203125 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-97\"/>\r\n",
       "      <path d=\"M 52 44.1875 \r\n",
       "Q 55.375 50.25 60.0625 53.125 \r\n",
       "Q 64.75 56 71.09375 56 \r\n",
       "Q 79.640625 56 84.28125 50.015625 \r\n",
       "Q 88.921875 44.046875 88.921875 33.015625 \r\n",
       "L 88.921875 0 \r\n",
       "L 79.890625 0 \r\n",
       "L 79.890625 32.71875 \r\n",
       "Q 79.890625 40.578125 77.09375 44.375 \r\n",
       "Q 74.3125 48.1875 68.609375 48.1875 \r\n",
       "Q 61.625 48.1875 57.5625 43.546875 \r\n",
       "Q 53.515625 38.921875 53.515625 30.90625 \r\n",
       "L 53.515625 0 \r\n",
       "L 44.484375 0 \r\n",
       "L 44.484375 32.71875 \r\n",
       "Q 44.484375 40.625 41.703125 44.40625 \r\n",
       "Q 38.921875 48.1875 33.109375 48.1875 \r\n",
       "Q 26.21875 48.1875 22.15625 43.53125 \r\n",
       "Q 18.109375 38.875 18.109375 30.90625 \r\n",
       "L 18.109375 0 \r\n",
       "L 9.078125 0 \r\n",
       "L 9.078125 54.6875 \r\n",
       "L 18.109375 54.6875 \r\n",
       "L 18.109375 46.1875 \r\n",
       "Q 21.1875 51.21875 25.484375 53.609375 \r\n",
       "Q 29.78125 56 35.6875 56 \r\n",
       "Q 41.65625 56 45.828125 52.96875 \r\n",
       "Q 50 49.953125 52 44.1875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-109\"/>\r\n",
       "      <path d=\"M 9.421875 75.984375 \r\n",
       "L 18.40625 75.984375 \r\n",
       "L 18.40625 0 \r\n",
       "L 9.421875 0 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-108\"/>\r\n",
       "     </defs>\r\n",
       "     <g transform=\"translate(354.386604 66.283396)scale(0.08 -0.08)\">\r\n",
       "      <use xlink:href=\"#DejaVuSans-115\"/>\r\n",
       "      <use x=\"52.099609\" xlink:href=\"#DejaVuSans-97\"/>\r\n",
       "      <use x=\"113.378906\" xlink:href=\"#DejaVuSans-109\"/>\r\n",
       "      <use x=\"210.791016\" xlink:href=\"#DejaVuSans-112\"/>\r\n",
       "      <use x=\"274.267578\" xlink:href=\"#DejaVuSans-108\"/>\r\n",
       "      <use x=\"302.050781\" xlink:href=\"#DejaVuSans-101\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "   </g>\r\n",
       "  </g>\r\n",
       " </g>\r\n",
       " <defs>\r\n",
       "  <clipPath id=\"p52175c097e\">\r\n",
       "   <rect height=\"270.190709\" width=\"404.134055\" x=\"25.0313\" y=\"2.834646\"/>\r\n",
       "  </clipPath>\r\n",
       " </defs>\r\n",
       "</svg>\r\n"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "n = 2^5\n",
    "x = range(0, 2π, length=n)\n",
    "F = [one, cos, sin, x->cos(2x), x->sin(2x)]\n",
    "b = Float64[3; 2; 1; 0; 1]\n",
    "σ = 0.5\n",
    "f_true = reg_func(F, b)\n",
    "\n",
    "seed!(4649)\n",
    "y = f_true.(x) + σ*randn(n)\n",
    "\n",
    "plot_linear_regression(F, x, f_true; b=b, σ=σ, y=y, xs=range(-2π, 4π, length=400), ylim=(-2, 11))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "b = [3.0, 2.0, 1.0, 0.0, 1.0]\n",
      "σ = 0.5\n",
      "\n",
      "b̂ = [3.202517756360168, 2.316876533569378, 0.8370849374587022, -0.0024366592277740933, 0.993999187283146, -0.013229776192353014, 0.02253901549258018, -0.013229776192352742, 0.022539015492580177, -0.013229776192352742, 0.022539015492580177, -0.013229776192352742, 0.022539015492580177, -0.013229776192352742, 0.022539015492580177, -0.013229776192352742, 0.022539015492580177, -0.013229776192352742, 0.022539015492580167, -0.01322977619235287, 0.022539015492580132]\n",
      "û = 0.7639536515803761\n"
     ]
    },
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\r\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\r\n",
       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\r\n",
       "<!-- Created with matplotlib (https://matplotlib.org/) -->\r\n",
       "<svg height=\"288pt\" version=\"1.1\" viewBox=\"0 0 432 288\" width=\"432pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\r\n",
       " <defs>\r\n",
       "  <style type=\"text/css\">\r\n",
       "*{stroke-linecap:butt;stroke-linejoin:round;}\r\n",
       "  </style>\r\n",
       " </defs>\r\n",
       " <g id=\"figure_1\">\r\n",
       "  <g id=\"patch_1\">\r\n",
       "   <path d=\"M 0 288 \r\n",
       "L 432 288 \r\n",
       "L 432 0 \r\n",
       "L 0 0 \r\n",
       "z\r\n",
       "\" style=\"fill:#ffffff;\"/>\r\n",
       "  </g>\r\n",
       "  <g id=\"axes_1\">\r\n",
       "   <g id=\"patch_2\">\r\n",
       "    <path d=\"M 25.0313 273.025354 \r\n",
       "L 429.165354 273.025354 \r\n",
       "L 429.165354 2.834646 \r\n",
       "L 25.0313 2.834646 \r\n",
       "z\r\n",
       "\" style=\"fill:#ffffff;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"matplotlib.axis_1\">\r\n",
       "    <g id=\"xtick_1\">\r\n",
       "     <g id=\"line2d_1\">\r\n",
       "      <path clip-path=\"url(#p89ea019c26)\" d=\"M 62.423267 273.025354 \r\n",
       "L 62.423267 2.834646 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_2\">\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 0 0 \r\n",
       "L 0 -2.5 \r\n",
       "\" id=\"m7040308666\" style=\"stroke:#000000;stroke-width:0.5;\"/>\r\n",
       "      </defs>\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"62.423267\" xlink:href=\"#m7040308666\" y=\"273.025354\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_1\">\r\n",
       "      <!-- $\\mathregular{-5}$ -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 10.59375 35.5 \r\n",
       "L 73.1875 35.5 \r\n",
       "L 73.1875 27.203125 \r\n",
       "L 10.59375 27.203125 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-8722\"/>\r\n",
       "       <path d=\"M 10.796875 72.90625 \r\n",
       "L 49.515625 72.90625 \r\n",
       "L 49.515625 64.59375 \r\n",
       "L 19.828125 64.59375 \r\n",
       "L 19.828125 46.734375 \r\n",
       "Q 21.96875 47.46875 24.109375 47.828125 \r\n",
       "Q 26.265625 48.1875 28.421875 48.1875 \r\n",
       "Q 40.625 48.1875 47.75 41.5 \r\n",
       "Q 54.890625 34.8125 54.890625 23.390625 \r\n",
       "Q 54.890625 11.625 47.5625 5.09375 \r\n",
       "Q 40.234375 -1.421875 26.90625 -1.421875 \r\n",
       "Q 22.3125 -1.421875 17.546875 -0.640625 \r\n",
       "Q 12.796875 0.140625 7.71875 1.703125 \r\n",
       "L 7.71875 11.625 \r\n",
       "Q 12.109375 9.234375 16.796875 8.0625 \r\n",
       "Q 21.484375 6.890625 26.703125 6.890625 \r\n",
       "Q 35.15625 6.890625 40.078125 11.328125 \r\n",
       "Q 45.015625 15.765625 45.015625 23.390625 \r\n",
       "Q 45.015625 31 40.078125 35.4375 \r\n",
       "Q 35.15625 39.890625 26.703125 39.890625 \r\n",
       "Q 22.75 39.890625 18.8125 39.015625 \r\n",
       "Q 14.890625 38.140625 10.796875 36.28125 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-53\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(56.503267 282.604104)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.09375)\" xlink:href=\"#DejaVuSans-8722\"/>\r\n",
       "       <use transform=\"translate(83.789062 0.09375)\" xlink:href=\"#DejaVuSans-53\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_2\">\r\n",
       "     <g id=\"line2d_3\">\r\n",
       "      <path clip-path=\"url(#p89ea019c26)\" d=\"M 163.555237 273.025354 \r\n",
       "L 163.555237 2.834646 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_4\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"163.555237\" xlink:href=\"#m7040308666\" y=\"273.025354\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_2\">\r\n",
       "      <!-- $\\mathregular{0}$ -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 31.78125 66.40625 \r\n",
       "Q 24.171875 66.40625 20.328125 58.90625 \r\n",
       "Q 16.5 51.421875 16.5 36.375 \r\n",
       "Q 16.5 21.390625 20.328125 13.890625 \r\n",
       "Q 24.171875 6.390625 31.78125 6.390625 \r\n",
       "Q 39.453125 6.390625 43.28125 13.890625 \r\n",
       "Q 47.125 21.390625 47.125 36.375 \r\n",
       "Q 47.125 51.421875 43.28125 58.90625 \r\n",
       "Q 39.453125 66.40625 31.78125 66.40625 \r\n",
       "z\r\n",
       "M 31.78125 74.21875 \r\n",
       "Q 44.046875 74.21875 50.515625 64.515625 \r\n",
       "Q 56.984375 54.828125 56.984375 36.375 \r\n",
       "Q 56.984375 17.96875 50.515625 8.265625 \r\n",
       "Q 44.046875 -1.421875 31.78125 -1.421875 \r\n",
       "Q 19.53125 -1.421875 13.0625 8.265625 \r\n",
       "Q 6.59375 17.96875 6.59375 36.375 \r\n",
       "Q 6.59375 54.828125 13.0625 64.515625 \r\n",
       "Q 19.53125 74.21875 31.78125 74.21875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-48\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(160.995237 282.604104)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_3\">\r\n",
       "     <g id=\"line2d_5\">\r\n",
       "      <path clip-path=\"url(#p89ea019c26)\" d=\"M 264.687206 273.025354 \r\n",
       "L 264.687206 2.834646 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_6\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"264.687206\" xlink:href=\"#m7040308666\" y=\"273.025354\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_3\">\r\n",
       "      <!-- $\\mathregular{5}$ -->\r\n",
       "      <g transform=\"translate(262.127206 282.604104)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.09375)\" xlink:href=\"#DejaVuSans-53\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_4\">\r\n",
       "     <g id=\"line2d_7\">\r\n",
       "      <path clip-path=\"url(#p89ea019c26)\" d=\"M 365.819175 273.025354 \r\n",
       "L 365.819175 2.834646 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_8\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"365.819175\" xlink:href=\"#m7040308666\" y=\"273.025354\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_4\">\r\n",
       "      <!-- $\\mathregular{10}$ -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 12.40625 8.296875 \r\n",
       "L 28.515625 8.296875 \r\n",
       "L 28.515625 63.921875 \r\n",
       "L 10.984375 60.40625 \r\n",
       "L 10.984375 69.390625 \r\n",
       "L 28.421875 72.90625 \r\n",
       "L 38.28125 72.90625 \r\n",
       "L 38.28125 8.296875 \r\n",
       "L 54.390625 8.296875 \r\n",
       "L 54.390625 0 \r\n",
       "L 12.40625 0 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-49\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(360.699175 282.604104)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-49\"/>\r\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "   </g>\r\n",
       "   <g id=\"matplotlib.axis_2\">\r\n",
       "    <g id=\"ytick_1\">\r\n",
       "     <g id=\"line2d_9\">\r\n",
       "      <path clip-path=\"url(#p89ea019c26)\" d=\"M 25.0313 231.457553 \r\n",
       "L 429.165354 231.457553 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_10\">\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 0 0 \r\n",
       "L 2.5 0 \r\n",
       "\" id=\"m2b2830f332\" style=\"stroke:#000000;stroke-width:0.5;\"/>\r\n",
       "      </defs>\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"25.0313\" xlink:href=\"#m2b2830f332\" y=\"231.457553\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_5\">\r\n",
       "      <!-- $\\mathregular{0.0}$ -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 10.6875 12.40625 \r\n",
       "L 21 12.40625 \r\n",
       "L 21 0 \r\n",
       "L 10.6875 0 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-46\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(8.7313 234.496928)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\r\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "       <use transform=\"translate(95.410156 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_2\">\r\n",
       "     <g id=\"line2d_11\">\r\n",
       "      <path clip-path=\"url(#p89ea019c26)\" d=\"M 25.0313 179.497801 \r\n",
       "L 429.165354 179.497801 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_12\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"25.0313\" xlink:href=\"#m2b2830f332\" y=\"179.497801\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_6\">\r\n",
       "      <!-- $\\mathregular{2.5}$ -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 19.1875 8.296875 \r\n",
       "L 53.609375 8.296875 \r\n",
       "L 53.609375 0 \r\n",
       "L 7.328125 0 \r\n",
       "L 7.328125 8.296875 \r\n",
       "Q 12.9375 14.109375 22.625 23.890625 \r\n",
       "Q 32.328125 33.6875 34.8125 36.53125 \r\n",
       "Q 39.546875 41.84375 41.421875 45.53125 \r\n",
       "Q 43.3125 49.21875 43.3125 52.78125 \r\n",
       "Q 43.3125 58.59375 39.234375 62.25 \r\n",
       "Q 35.15625 65.921875 28.609375 65.921875 \r\n",
       "Q 23.96875 65.921875 18.8125 64.3125 \r\n",
       "Q 13.671875 62.703125 7.8125 59.421875 \r\n",
       "L 7.8125 69.390625 \r\n",
       "Q 13.765625 71.78125 18.9375 73 \r\n",
       "Q 24.125 74.21875 28.421875 74.21875 \r\n",
       "Q 39.75 74.21875 46.484375 68.546875 \r\n",
       "Q 53.21875 62.890625 53.21875 53.421875 \r\n",
       "Q 53.21875 48.921875 51.53125 44.890625 \r\n",
       "Q 49.859375 40.875 45.40625 35.40625 \r\n",
       "Q 44.1875 33.984375 37.640625 27.21875 \r\n",
       "Q 31.109375 20.453125 19.1875 8.296875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-50\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(8.7313 182.537176)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-50\"/>\r\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "       <use transform=\"translate(95.410156 0.78125)\" xlink:href=\"#DejaVuSans-53\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_3\">\r\n",
       "     <g id=\"line2d_13\">\r\n",
       "      <path clip-path=\"url(#p89ea019c26)\" d=\"M 25.0313 127.53805 \r\n",
       "L 429.165354 127.53805 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_14\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"25.0313\" xlink:href=\"#m2b2830f332\" y=\"127.53805\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_7\">\r\n",
       "      <!-- $\\mathregular{5.0}$ -->\r\n",
       "      <g transform=\"translate(8.7313 130.577425)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-53\"/>\r\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "       <use transform=\"translate(95.410156 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_4\">\r\n",
       "     <g id=\"line2d_15\">\r\n",
       "      <path clip-path=\"url(#p89ea019c26)\" d=\"M 25.0313 75.578298 \r\n",
       "L 429.165354 75.578298 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_16\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"25.0313\" xlink:href=\"#m2b2830f332\" y=\"75.578298\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_8\">\r\n",
       "      <!-- $\\mathregular{7.5}$ -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 8.203125 72.90625 \r\n",
       "L 55.078125 72.90625 \r\n",
       "L 55.078125 68.703125 \r\n",
       "L 28.609375 0 \r\n",
       "L 18.3125 0 \r\n",
       "L 43.21875 64.59375 \r\n",
       "L 8.203125 64.59375 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-55\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(8.7313 78.617673)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.09375)\" xlink:href=\"#DejaVuSans-55\"/>\r\n",
       "       <use transform=\"translate(63.623047 0.09375)\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "       <use transform=\"translate(95.410156 0.09375)\" xlink:href=\"#DejaVuSans-53\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_5\">\r\n",
       "     <g id=\"line2d_17\">\r\n",
       "      <path clip-path=\"url(#p89ea019c26)\" d=\"M 25.0313 23.618546 \r\n",
       "L 429.165354 23.618546 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_18\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"25.0313\" xlink:href=\"#m2b2830f332\" y=\"23.618546\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_9\">\r\n",
       "      <!-- $\\mathregular{10.0}$ -->\r\n",
       "      <g transform=\"translate(3.6913 26.657921)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-49\"/>\r\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\r\n",
       "       <use transform=\"translate(127.246094 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "       <use transform=\"translate(159.033203 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_19\">\r\n",
       "    <path clip-path=\"url(#p89ea019c26)\" d=\"M 36.469056 118.993384 \r\n",
       "L 39.335662 109.497229 \r\n",
       "L 41.246732 103.884239 \r\n",
       "L 43.157802 99.119643 \r\n",
       "L 44.113338 97.123193 \r\n",
       "L 45.068873 95.416437 \r\n",
       "L 46.024408 94.020838 \r\n",
       "L 46.979943 92.95519 \r\n",
       "L 47.935478 92.235351 \r\n",
       "L 48.891013 91.874015 \r\n",
       "L 49.846549 91.880529 \r\n",
       "L 50.802084 92.260762 \r\n",
       "L 51.757619 93.017009 \r\n",
       "L 52.713154 94.147957 \r\n",
       "L 53.668689 95.648695 \r\n",
       "L 54.624225 97.510775 \r\n",
       "L 55.57976 99.722321 \r\n",
       "L 57.49083 105.130147 \r\n",
       "L 59.401901 111.715611 \r\n",
       "L 61.312971 119.281529 \r\n",
       "L 64.179577 131.965417 \r\n",
       "L 72.779393 171.869814 \r\n",
       "L 74.690464 179.689656 \r\n",
       "L 76.601534 186.769889 \r\n",
       "L 78.512604 193.016616 \r\n",
       "L 80.423675 198.376439 \r\n",
       "L 82.334745 202.833955 \r\n",
       "L 84.245816 206.407256 \r\n",
       "L 86.156886 209.141905 \r\n",
       "L 87.112421 210.214778 \r\n",
       "L 88.067956 211.103959 \r\n",
       "L 89.023492 211.819702 \r\n",
       "L 89.979027 212.372636 \r\n",
       "L 90.934562 212.773551 \r\n",
       "L 91.890097 213.033216 \r\n",
       "L 92.845632 213.162195 \r\n",
       "L 94.756703 213.068479 \r\n",
       "L 96.667773 212.567784 \r\n",
       "L 98.578844 211.725153 \r\n",
       "L 100.489914 210.59406 \r\n",
       "L 102.400984 209.216735 \r\n",
       "L 104.312055 207.625815 \r\n",
       "L 107.17866 204.893995 \r\n",
       "L 110.045266 201.812829 \r\n",
       "L 113.867407 197.301639 \r\n",
       "L 122.467223 186.859759 \r\n",
       "L 125.333829 183.810998 \r\n",
       "L 128.200435 181.177591 \r\n",
       "L 131.06704 178.983193 \r\n",
       "L 133.933646 177.148712 \r\n",
       "L 139.666857 173.68989 \r\n",
       "L 141.577927 172.246362 \r\n",
       "L 143.488998 170.469964 \r\n",
       "L 145.400068 168.249671 \r\n",
       "L 147.311138 165.487584 \r\n",
       "L 149.222209 162.107747 \r\n",
       "L 151.133279 158.064246 \r\n",
       "L 153.04435 153.347948 \r\n",
       "L 154.95542 147.99131 \r\n",
       "L 156.86649 142.070789 \r\n",
       "L 159.733096 132.406855 \r\n",
       "L 165.466307 112.549282 \r\n",
       "L 167.377377 106.598953 \r\n",
       "L 169.288448 101.38195 \r\n",
       "L 171.199518 97.123193 \r\n",
       "L 172.155053 95.416437 \r\n",
       "L 173.110589 94.020838 \r\n",
       "L 174.066124 92.95519 \r\n",
       "L 175.021659 92.235351 \r\n",
       "L 175.977194 91.874015 \r\n",
       "L 176.932729 91.880529 \r\n",
       "L 177.888265 92.260762 \r\n",
       "L 178.8438 93.017009 \r\n",
       "L 179.799335 94.147957 \r\n",
       "L 180.75487 95.648695 \r\n",
       "L 181.710405 97.510775 \r\n",
       "L 182.665941 99.722321 \r\n",
       "L 184.577011 105.130147 \r\n",
       "L 186.488081 111.715611 \r\n",
       "L 188.399152 119.281529 \r\n",
       "L 191.265757 131.965417 \r\n",
       "L 199.865574 171.869814 \r\n",
       "L 201.776644 179.689656 \r\n",
       "L 203.687715 186.769889 \r\n",
       "L 205.598785 193.016616 \r\n",
       "L 207.509856 198.376439 \r\n",
       "L 209.420926 202.833955 \r\n",
       "L 211.331996 206.407256 \r\n",
       "L 213.243067 209.141905 \r\n",
       "L 214.198602 210.214778 \r\n",
       "L 215.154137 211.103959 \r\n",
       "L 216.109672 211.819702 \r\n",
       "L 217.065207 212.372636 \r\n",
       "L 218.020743 212.773551 \r\n",
       "L 218.976278 213.033216 \r\n",
       "L 219.931813 213.162195 \r\n",
       "L 221.842883 213.068479 \r\n",
       "L 223.753954 212.567784 \r\n",
       "L 225.665024 211.725153 \r\n",
       "L 227.576095 210.59406 \r\n",
       "L 229.487165 209.216735 \r\n",
       "L 231.398235 207.625815 \r\n",
       "L 234.264841 204.893995 \r\n",
       "L 237.131447 201.812829 \r\n",
       "L 240.953587 197.301639 \r\n",
       "L 249.553404 186.859759 \r\n",
       "L 252.42001 183.810998 \r\n",
       "L 255.286615 181.177591 \r\n",
       "L 258.153221 178.983193 \r\n",
       "L 261.019826 177.148712 \r\n",
       "L 266.753038 173.68989 \r\n",
       "L 268.664108 172.246362 \r\n",
       "L 270.575178 170.469964 \r\n",
       "L 272.486249 168.249671 \r\n",
       "L 274.397319 165.487584 \r\n",
       "L 276.308389 162.107747 \r\n",
       "L 278.21946 158.064246 \r\n",
       "L 280.13053 153.347948 \r\n",
       "L 282.041601 147.99131 \r\n",
       "L 283.952671 142.070789 \r\n",
       "L 286.819277 132.406855 \r\n",
       "L 292.552488 112.549282 \r\n",
       "L 294.463558 106.598953 \r\n",
       "L 296.374629 101.38195 \r\n",
       "L 298.285699 97.123193 \r\n",
       "L 299.241234 95.416437 \r\n",
       "L 300.196769 94.020838 \r\n",
       "L 301.152304 92.95519 \r\n",
       "L 302.10784 92.235351 \r\n",
       "L 303.063375 91.874015 \r\n",
       "L 304.01891 91.880529 \r\n",
       "L 304.974445 92.260762 \r\n",
       "L 305.92998 93.017009 \r\n",
       "L 306.885516 94.147957 \r\n",
       "L 307.841051 95.648695 \r\n",
       "L 308.796586 97.510775 \r\n",
       "L 309.752121 99.722321 \r\n",
       "L 311.663192 105.130147 \r\n",
       "L 313.574262 111.715611 \r\n",
       "L 315.485332 119.281529 \r\n",
       "L 318.351938 131.965417 \r\n",
       "L 326.951755 171.869814 \r\n",
       "L 328.862825 179.689656 \r\n",
       "L 330.773895 186.769889 \r\n",
       "L 332.684966 193.016616 \r\n",
       "L 334.596036 198.376439 \r\n",
       "L 336.507107 202.833955 \r\n",
       "L 338.418177 206.407256 \r\n",
       "L 340.329247 209.141905 \r\n",
       "L 341.284783 210.214778 \r\n",
       "L 342.240318 211.103959 \r\n",
       "L 343.195853 211.819702 \r\n",
       "L 344.151388 212.372636 \r\n",
       "L 345.106923 212.773551 \r\n",
       "L 346.062459 213.033216 \r\n",
       "L 347.017994 213.162195 \r\n",
       "L 348.929064 213.068479 \r\n",
       "L 350.840135 212.567784 \r\n",
       "L 352.751205 211.725153 \r\n",
       "L 354.662275 210.59406 \r\n",
       "L 356.573346 209.216735 \r\n",
       "L 358.484416 207.625815 \r\n",
       "L 361.351022 204.893995 \r\n",
       "L 364.217627 201.812829 \r\n",
       "L 368.039768 197.301639 \r\n",
       "L 376.639585 186.859759 \r\n",
       "L 379.50619 183.810998 \r\n",
       "L 382.372796 181.177591 \r\n",
       "L 385.239401 178.983193 \r\n",
       "L 388.106007 177.148712 \r\n",
       "L 393.839218 173.68989 \r\n",
       "L 395.750289 172.246362 \r\n",
       "L 397.661359 170.469964 \r\n",
       "L 399.572429 168.249671 \r\n",
       "L 401.4835 165.487584 \r\n",
       "L 403.39457 162.107747 \r\n",
       "L 405.305641 158.064246 \r\n",
       "L 407.216711 153.347948 \r\n",
       "L 409.127781 147.99131 \r\n",
       "L 411.038852 142.070789 \r\n",
       "L 413.905457 132.406855 \r\n",
       "L 417.727598 118.993384 \r\n",
       "L 417.727598 118.993384 \r\n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-width:2;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_20\">\r\n",
       "    <path clip-path=\"url(#p89ea019c26)\" d=\"M 36.469056 133.992595 \r\n",
       "L 38.380126 127.607998 \r\n",
       "L 40.291197 121.825059 \r\n",
       "L 42.202267 116.853207 \r\n",
       "L 44.113338 112.876491 \r\n",
       "L 45.068873 111.311322 \r\n",
       "L 46.024408 110.051295 \r\n",
       "L 46.979943 109.111213 \r\n",
       "L 47.935478 108.503763 \r\n",
       "L 48.891013 108.239368 \r\n",
       "L 49.846549 108.326033 \r\n",
       "L 50.802084 108.769189 \r\n",
       "L 51.757619 109.571544 \r\n",
       "L 52.713154 110.732948 \r\n",
       "L 53.668689 112.250272 \r\n",
       "L 54.624225 114.117323 \r\n",
       "L 55.57976 116.324784 \r\n",
       "L 57.49083 121.707996 \r\n",
       "L 59.401901 128.263466 \r\n",
       "L 61.312971 135.809056 \r\n",
       "L 64.179577 148.494332 \r\n",
       "L 72.779393 188.476362 \r\n",
       "L 74.690464 196.291192 \r\n",
       "L 76.601534 203.359625 \r\n",
       "L 78.512604 209.593699 \r\n",
       "L 80.423675 214.945494 \r\n",
       "L 82.334745 219.402693 \r\n",
       "L 84.245816 222.98318 \r\n",
       "L 86.156886 225.729397 \r\n",
       "L 87.112421 226.808261 \r\n",
       "L 88.067956 227.70278 \r\n",
       "L 89.023492 228.422703 \r\n",
       "L 89.979027 228.978283 \r\n",
       "L 90.934562 229.380099 \r\n",
       "L 91.890097 229.638883 \r\n",
       "L 92.845632 229.765346 \r\n",
       "L 93.801168 229.77001 \r\n",
       "L 95.712238 229.454124 \r\n",
       "L 97.623308 228.765851 \r\n",
       "L 99.534379 227.768287 \r\n",
       "L 101.445449 226.51109 \r\n",
       "L 103.35652 225.030748 \r\n",
       "L 106.223125 222.446282 \r\n",
       "L 109.089731 219.480686 \r\n",
       "L 111.956336 216.201875 \r\n",
       "L 116.734012 210.326866 \r\n",
       "L 121.511688 204.529538 \r\n",
       "L 124.378294 201.380932 \r\n",
       "L 127.244899 198.612408 \r\n",
       "L 130.111505 196.261938 \r\n",
       "L 132.97811 194.28974 \r\n",
       "L 140.622392 189.550383 \r\n",
       "L 142.533462 187.984762 \r\n",
       "L 144.444533 186.024299 \r\n",
       "L 146.355603 183.54329 \r\n",
       "L 148.266674 180.433081 \r\n",
       "L 150.177744 176.615958 \r\n",
       "L 152.088814 172.057596 \r\n",
       "L 153.999885 166.776392 \r\n",
       "L 155.910955 160.848324 \r\n",
       "L 158.777561 151.047941 \r\n",
       "L 164.510772 130.739077 \r\n",
       "L 166.421842 124.627671 \r\n",
       "L 168.332913 119.22562 \r\n",
       "L 170.243983 114.73001 \r\n",
       "L 171.199518 112.876491 \r\n",
       "L 172.155053 111.311322 \r\n",
       "L 173.110589 110.051295 \r\n",
       "L 174.066124 109.111213 \r\n",
       "L 175.021659 108.503763 \r\n",
       "L 175.977194 108.239368 \r\n",
       "L 176.932729 108.326033 \r\n",
       "L 177.888265 108.769189 \r\n",
       "L 178.8438 109.571544 \r\n",
       "L 179.799335 110.732948 \r\n",
       "L 180.75487 112.250272 \r\n",
       "L 181.710405 114.117323 \r\n",
       "L 182.665941 116.324784 \r\n",
       "L 184.577011 121.707996 \r\n",
       "L 186.488081 128.263466 \r\n",
       "L 188.399152 135.809056 \r\n",
       "L 191.265757 148.494332 \r\n",
       "L 199.865574 188.476362 \r\n",
       "L 201.776644 196.291192 \r\n",
       "L 203.687715 203.359625 \r\n",
       "L 205.598785 209.593699 \r\n",
       "L 207.509856 214.945494 \r\n",
       "L 209.420926 219.402693 \r\n",
       "L 211.331996 222.98318 \r\n",
       "L 213.243067 225.729397 \r\n",
       "L 214.198602 226.808261 \r\n",
       "L 215.154137 227.70278 \r\n",
       "L 216.109672 228.422703 \r\n",
       "L 217.065207 228.978283 \r\n",
       "L 218.020743 229.380099 \r\n",
       "L 218.976278 229.638883 \r\n",
       "L 219.931813 229.765346 \r\n",
       "L 220.887348 229.77001 \r\n",
       "L 222.798419 229.454124 \r\n",
       "L 224.709489 228.765851 \r\n",
       "L 226.620559 227.768287 \r\n",
       "L 228.53163 226.51109 \r\n",
       "L 230.4427 225.030748 \r\n",
       "L 233.309306 222.446282 \r\n",
       "L 236.175911 219.480686 \r\n",
       "L 239.042517 216.201875 \r\n",
       "L 243.820193 210.326866 \r\n",
       "L 248.597869 204.529538 \r\n",
       "L 251.464474 201.380932 \r\n",
       "L 254.33108 198.612408 \r\n",
       "L 257.197686 196.261938 \r\n",
       "L 260.064291 194.28974 \r\n",
       "L 267.708573 189.550383 \r\n",
       "L 269.619643 187.984762 \r\n",
       "L 271.530714 186.024299 \r\n",
       "L 273.441784 183.54329 \r\n",
       "L 275.352854 180.433081 \r\n",
       "L 277.263925 176.615958 \r\n",
       "L 279.174995 172.057596 \r\n",
       "L 281.086065 166.776392 \r\n",
       "L 282.997136 160.848324 \r\n",
       "L 285.863741 151.047941 \r\n",
       "L 291.596953 130.739077 \r\n",
       "L 293.508023 124.627671 \r\n",
       "L 295.419093 119.22562 \r\n",
       "L 297.330164 114.73001 \r\n",
       "L 298.285699 112.876491 \r\n",
       "L 299.241234 111.311322 \r\n",
       "L 300.196769 110.051295 \r\n",
       "L 301.152304 109.111213 \r\n",
       "L 302.10784 108.503763 \r\n",
       "L 303.063375 108.239368 \r\n",
       "L 304.01891 108.326033 \r\n",
       "L 304.974445 108.769189 \r\n",
       "L 305.92998 109.571544 \r\n",
       "L 306.885516 110.732948 \r\n",
       "L 307.841051 112.250272 \r\n",
       "L 308.796586 114.117323 \r\n",
       "L 309.752121 116.324784 \r\n",
       "L 311.663192 121.707996 \r\n",
       "L 313.574262 128.263466 \r\n",
       "L 315.485332 135.809056 \r\n",
       "L 318.351938 148.494332 \r\n",
       "L 326.951755 188.476362 \r\n",
       "L 328.862825 196.291192 \r\n",
       "L 330.773895 203.359625 \r\n",
       "L 332.684966 209.593699 \r\n",
       "L 334.596036 214.945494 \r\n",
       "L 336.507107 219.402693 \r\n",
       "L 338.418177 222.98318 \r\n",
       "L 340.329247 225.729397 \r\n",
       "L 341.284783 226.808261 \r\n",
       "L 342.240318 227.70278 \r\n",
       "L 343.195853 228.422703 \r\n",
       "L 344.151388 228.978283 \r\n",
       "L 345.106923 229.380099 \r\n",
       "L 346.062459 229.638883 \r\n",
       "L 347.017994 229.765346 \r\n",
       "L 347.973529 229.77001 \r\n",
       "L 349.884599 229.454124 \r\n",
       "L 351.79567 228.765851 \r\n",
       "L 353.70674 227.768287 \r\n",
       "L 355.617811 226.51109 \r\n",
       "L 357.528881 225.030748 \r\n",
       "L 360.395486 222.446282 \r\n",
       "L 363.262092 219.480686 \r\n",
       "L 366.128698 216.201875 \r\n",
       "L 370.906374 210.326866 \r\n",
       "L 375.68405 204.529538 \r\n",
       "L 378.550655 201.380932 \r\n",
       "L 381.417261 198.612408 \r\n",
       "L 384.283866 196.261938 \r\n",
       "L 387.150472 194.28974 \r\n",
       "L 394.794753 189.550383 \r\n",
       "L 396.705824 187.984762 \r\n",
       "L 398.616894 186.024299 \r\n",
       "L 400.527965 183.54329 \r\n",
       "L 402.439035 180.433081 \r\n",
       "L 404.350105 176.615958 \r\n",
       "L 406.261176 172.057596 \r\n",
       "L 408.172246 166.776392 \r\n",
       "L 410.083317 160.848324 \r\n",
       "L 412.949922 151.047941 \r\n",
       "L 417.727598 133.992595 \r\n",
       "L 417.727598 133.992595 \r\n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-dasharray:1,1.65;stroke-dashoffset:0;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_3\">\r\n",
       "    <path d=\"M 25.0313 273.025354 \r\n",
       "L 25.0313 2.834646 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_4\">\r\n",
       "    <path d=\"M 25.0313 273.025354 \r\n",
       "L 429.165354 273.025354 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_21\">\r\n",
       "    <path clip-path=\"url(#p89ea019c26)\" d=\"M 36.469056 103.994174 \r\n",
       "L 39.335662 94.366786 \r\n",
       "L 41.246732 88.542858 \r\n",
       "L 43.157802 83.509275 \r\n",
       "L 44.113338 81.369895 \r\n",
       "L 45.068873 79.521551 \r\n",
       "L 46.024408 77.990381 \r\n",
       "L 46.979943 76.799168 \r\n",
       "L 47.935478 75.96694 \r\n",
       "L 48.891013 75.508662 \r\n",
       "L 49.846549 75.435026 \r\n",
       "L 50.802084 75.752335 \r\n",
       "L 51.757619 76.462474 \r\n",
       "L 52.713154 77.562966 \r\n",
       "L 53.668689 79.047119 \r\n",
       "L 54.624225 80.904228 \r\n",
       "L 55.57976 83.119858 \r\n",
       "L 56.535295 85.676172 \r\n",
       "L 58.446365 91.724735 \r\n",
       "L 60.357436 98.853825 \r\n",
       "L 62.268506 106.838321 \r\n",
       "L 65.135112 119.888364 \r\n",
       "L 71.823858 151.117931 \r\n",
       "L 74.690464 163.08812 \r\n",
       "L 76.601534 170.180152 \r\n",
       "L 78.512604 176.439533 \r\n",
       "L 80.423675 181.807384 \r\n",
       "L 82.334745 186.265217 \r\n",
       "L 84.245816 189.831332 \r\n",
       "L 86.156886 192.554413 \r\n",
       "L 87.112421 193.621296 \r\n",
       "L 88.067956 194.505139 \r\n",
       "L 89.023492 195.216701 \r\n",
       "L 89.979027 195.766988 \r\n",
       "L 90.934562 196.167004 \r\n",
       "L 91.890097 196.427549 \r\n",
       "L 92.845632 196.559044 \r\n",
       "L 94.756703 196.473913 \r\n",
       "L 96.667773 195.983279 \r\n",
       "L 98.578844 195.148002 \r\n",
       "L 100.489914 194.018548 \r\n",
       "L 102.400984 192.636479 \r\n",
       "L 104.312055 191.036365 \r\n",
       "L 107.17866 188.290844 \r\n",
       "L 110.045266 185.207181 \r\n",
       "L 113.867407 180.714147 \r\n",
       "L 122.467223 170.276622 \r\n",
       "L 125.333829 167.209463 \r\n",
       "L 128.200435 164.572482 \r\n",
       "L 130.111505 163.07498 \r\n",
       "L 132.97811 161.169772 \r\n",
       "L 139.666857 157.154059 \r\n",
       "L 141.577927 155.68394 \r\n",
       "L 143.488998 153.877951 \r\n",
       "L 145.400068 151.643123 \r\n",
       "L 147.311138 148.902593 \r\n",
       "L 149.222209 145.59932 \r\n",
       "L 151.133279 141.698893 \r\n",
       "L 153.04435 137.191926 \r\n",
       "L 154.95542 132.096424 \r\n",
       "L 156.86649 126.460422 \r\n",
       "L 159.733096 117.18075 \r\n",
       "L 167.377377 91.372848 \r\n",
       "L 169.288448 85.910692 \r\n",
       "L 171.199518 81.369895 \r\n",
       "L 172.155053 79.521551 \r\n",
       "L 173.110589 77.990381 \r\n",
       "L 174.066124 76.799168 \r\n",
       "L 175.021659 75.96694 \r\n",
       "L 175.977194 75.508662 \r\n",
       "L 176.932729 75.435026 \r\n",
       "L 177.888265 75.752335 \r\n",
       "L 178.8438 76.462474 \r\n",
       "L 179.799335 77.562966 \r\n",
       "L 180.75487 79.047119 \r\n",
       "L 181.710405 80.904228 \r\n",
       "L 182.665941 83.119858 \r\n",
       "L 183.621476 85.676172 \r\n",
       "L 185.532546 91.724735 \r\n",
       "L 187.443617 98.853825 \r\n",
       "L 189.354687 106.838321 \r\n",
       "L 192.221292 119.888364 \r\n",
       "L 198.910039 151.117931 \r\n",
       "L 201.776644 163.08812 \r\n",
       "L 203.687715 170.180152 \r\n",
       "L 205.598785 176.439533 \r\n",
       "L 207.509856 181.807384 \r\n",
       "L 209.420926 186.265217 \r\n",
       "L 211.331996 189.831332 \r\n",
       "L 213.243067 192.554413 \r\n",
       "L 214.198602 193.621296 \r\n",
       "L 215.154137 194.505139 \r\n",
       "L 216.109672 195.216701 \r\n",
       "L 217.065207 195.766988 \r\n",
       "L 218.020743 196.167004 \r\n",
       "L 218.976278 196.427549 \r\n",
       "L 219.931813 196.559044 \r\n",
       "L 221.842883 196.473913 \r\n",
       "L 223.753954 195.983279 \r\n",
       "L 225.665024 195.148002 \r\n",
       "L 227.576095 194.018548 \r\n",
       "L 229.487165 192.636479 \r\n",
       "L 231.398235 191.036365 \r\n",
       "L 234.264841 188.290844 \r\n",
       "L 237.131447 185.207181 \r\n",
       "L 240.953587 180.714147 \r\n",
       "L 249.553404 170.276622 \r\n",
       "L 252.42001 167.209463 \r\n",
       "L 255.286615 164.572482 \r\n",
       "L 257.197686 163.07498 \r\n",
       "L 260.064291 161.169772 \r\n",
       "L 266.753038 157.154059 \r\n",
       "L 268.664108 155.68394 \r\n",
       "L 270.575178 153.877951 \r\n",
       "L 272.486249 151.643123 \r\n",
       "L 274.397319 148.902593 \r\n",
       "L 276.308389 145.59932 \r\n",
       "L 278.21946 141.698893 \r\n",
       "L 280.13053 137.191926 \r\n",
       "L 282.041601 132.096424 \r\n",
       "L 283.952671 126.460422 \r\n",
       "L 286.819277 117.18075 \r\n",
       "L 294.463558 91.372848 \r\n",
       "L 296.374629 85.910692 \r\n",
       "L 298.285699 81.369895 \r\n",
       "L 299.241234 79.521551 \r\n",
       "L 300.196769 77.990381 \r\n",
       "L 301.152304 76.799168 \r\n",
       "L 302.10784 75.96694 \r\n",
       "L 303.063375 75.508662 \r\n",
       "L 304.01891 75.435026 \r\n",
       "L 304.974445 75.752335 \r\n",
       "L 305.92998 76.462474 \r\n",
       "L 306.885516 77.562966 \r\n",
       "L 307.841051 79.047119 \r\n",
       "L 308.796586 80.904228 \r\n",
       "L 309.752121 83.119858 \r\n",
       "L 310.707656 85.676172 \r\n",
       "L 312.618727 91.724735 \r\n",
       "L 314.529797 98.853825 \r\n",
       "L 316.440868 106.838321 \r\n",
       "L 319.307473 119.888364 \r\n",
       "L 325.99622 151.117931 \r\n",
       "L 328.862825 163.08812 \r\n",
       "L 330.773895 170.180152 \r\n",
       "L 332.684966 176.439533 \r\n",
       "L 334.596036 181.807384 \r\n",
       "L 336.507107 186.265217 \r\n",
       "L 338.418177 189.831332 \r\n",
       "L 340.329247 192.554413 \r\n",
       "L 341.284783 193.621296 \r\n",
       "L 342.240318 194.505139 \r\n",
       "L 343.195853 195.216701 \r\n",
       "L 344.151388 195.766988 \r\n",
       "L 345.106923 196.167004 \r\n",
       "L 346.062459 196.427549 \r\n",
       "L 347.017994 196.559044 \r\n",
       "L 348.929064 196.473913 \r\n",
       "L 350.840135 195.983279 \r\n",
       "L 352.751205 195.148002 \r\n",
       "L 354.662275 194.018548 \r\n",
       "L 356.573346 192.636479 \r\n",
       "L 358.484416 191.036365 \r\n",
       "L 361.351022 188.290844 \r\n",
       "L 364.217627 185.207181 \r\n",
       "L 368.039768 180.714147 \r\n",
       "L 376.639585 170.276622 \r\n",
       "L 379.50619 167.209463 \r\n",
       "L 382.372796 164.572482 \r\n",
       "L 384.283866 163.07498 \r\n",
       "L 387.150472 161.169772 \r\n",
       "L 393.839218 157.154059 \r\n",
       "L 395.750289 155.68394 \r\n",
       "L 397.661359 153.877951 \r\n",
       "L 399.572429 151.643123 \r\n",
       "L 401.4835 148.902593 \r\n",
       "L 403.39457 145.59932 \r\n",
       "L 405.305641 141.698893 \r\n",
       "L 407.216711 137.191926 \r\n",
       "L 409.127781 132.096424 \r\n",
       "L 411.038852 126.460422 \r\n",
       "L 413.905457 117.18075 \r\n",
       "L 417.727598 103.994174 \r\n",
       "L 417.727598 103.994174 \r\n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-dasharray:1,1.65;stroke-dashoffset:0;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_22\">\r\n",
       "    <path clip-path=\"url(#p89ea019c26)\" d=\"M 36.469056 157.023325 \r\n",
       "L 39.335662 147.579118 \r\n",
       "L 41.246732 142.050428 \r\n",
       "L 43.157802 137.394747 \r\n",
       "L 44.113338 135.456813 \r\n",
       "L 45.068873 133.80846 \r\n",
       "L 46.024408 132.469187 \r\n",
       "L 46.979943 131.456062 \r\n",
       "L 47.935478 130.783519 \r\n",
       "L 48.891013 130.463195 \r\n",
       "L 49.846549 130.503769 \r\n",
       "L 50.802084 130.910836 \r\n",
       "L 51.757619 131.686799 \r\n",
       "L 52.713154 132.830795 \r\n",
       "L 53.668689 134.338647 \r\n",
       "L 54.624225 136.20286 \r\n",
       "L 55.57976 138.412653 \r\n",
       "L 57.49083 143.809924 \r\n",
       "L 59.401901 150.382542 \r\n",
       "L 61.312971 157.939765 \r\n",
       "L 64.179577 170.624246 \r\n",
       "L 72.779393 210.561899 \r\n",
       "L 74.690464 218.379591 \r\n",
       "L 76.601534 225.454762 \r\n",
       "L 78.512604 231.696064 \r\n",
       "L 80.423675 237.052447 \r\n",
       "L 82.334745 241.509827 \r\n",
       "L 84.245816 245.086207 \r\n",
       "L 86.156886 247.825816 \r\n",
       "L 87.112421 248.901258 \r\n",
       "L 88.067956 249.792729 \r\n",
       "L 89.023492 250.510265 \r\n",
       "L 89.979027 251.064334 \r\n",
       "L 90.934562 251.465636 \r\n",
       "L 91.890097 251.724923 \r\n",
       "L 92.845632 251.852822 \r\n",
       "L 93.801168 251.859682 \r\n",
       "L 95.712238 251.549424 \r\n",
       "L 97.623308 250.866403 \r\n",
       "L 99.534379 249.87155 \r\n",
       "L 101.445449 248.613416 \r\n",
       "L 103.35652 247.128872 \r\n",
       "L 106.223125 244.535953 \r\n",
       "L 109.089731 241.566223 \r\n",
       "L 111.956336 238.291824 \r\n",
       "L 116.734012 232.432403 \r\n",
       "L 121.511688 226.631903 \r\n",
       "L 124.378294 223.472417 \r\n",
       "L 127.244899 220.697945 \r\n",
       "L 130.111505 218.354937 \r\n",
       "L 132.97811 216.401879 \r\n",
       "L 140.622392 211.669459 \r\n",
       "L 142.533462 210.08669 \r\n",
       "L 144.444533 208.112168 \r\n",
       "L 146.355603 205.631665 \r\n",
       "L 148.266674 202.548335 \r\n",
       "L 150.177744 198.793694 \r\n",
       "L 152.088814 194.337352 \r\n",
       "L 153.999885 189.194284 \r\n",
       "L 155.910955 183.428646 \r\n",
       "L 158.777561 173.872749 \r\n",
       "L 165.466307 150.60273 \r\n",
       "L 167.377377 144.718953 \r\n",
       "L 169.288448 139.600529 \r\n",
       "L 171.199518 135.456813 \r\n",
       "L 172.155053 133.80846 \r\n",
       "L 173.110589 132.469187 \r\n",
       "L 174.066124 131.456062 \r\n",
       "L 175.021659 130.783519 \r\n",
       "L 175.977194 130.463195 \r\n",
       "L 176.932729 130.503769 \r\n",
       "L 177.888265 130.910836 \r\n",
       "L 178.8438 131.686799 \r\n",
       "L 179.799335 132.830795 \r\n",
       "L 180.75487 134.338647 \r\n",
       "L 181.710405 136.20286 \r\n",
       "L 182.665941 138.412653 \r\n",
       "L 184.577011 143.809924 \r\n",
       "L 186.488081 150.382542 \r\n",
       "L 188.399152 157.939765 \r\n",
       "L 191.265757 170.624246 \r\n",
       "L 199.865574 210.561899 \r\n",
       "L 201.776644 218.379591 \r\n",
       "L 203.687715 225.454762 \r\n",
       "L 205.598785 231.696064 \r\n",
       "L 207.509856 237.052447 \r\n",
       "L 209.420926 241.509827 \r\n",
       "L 211.331996 245.086207 \r\n",
       "L 213.243067 247.825816 \r\n",
       "L 214.198602 248.901258 \r\n",
       "L 215.154137 249.792729 \r\n",
       "L 216.109672 250.510265 \r\n",
       "L 217.065207 251.064334 \r\n",
       "L 218.020743 251.465636 \r\n",
       "L 218.976278 251.724923 \r\n",
       "L 219.931813 251.852822 \r\n",
       "L 220.887348 251.859682 \r\n",
       "L 222.798419 251.549424 \r\n",
       "L 224.709489 250.866403 \r\n",
       "L 226.620559 249.87155 \r\n",
       "L 228.53163 248.613416 \r\n",
       "L 230.4427 247.128872 \r\n",
       "L 233.309306 244.535953 \r\n",
       "L 236.175911 241.566223 \r\n",
       "L 239.042517 238.291824 \r\n",
       "L 243.820193 232.432403 \r\n",
       "L 248.597869 226.631903 \r\n",
       "L 251.464474 223.472417 \r\n",
       "L 254.33108 220.697945 \r\n",
       "L 257.197686 218.354937 \r\n",
       "L 260.064291 216.401879 \r\n",
       "L 267.708573 211.669459 \r\n",
       "L 269.619643 210.08669 \r\n",
       "L 271.530714 208.112168 \r\n",
       "L 273.441784 205.631665 \r\n",
       "L 275.352854 202.548335 \r\n",
       "L 277.263925 198.793694 \r\n",
       "L 279.174995 194.337352 \r\n",
       "L 281.086065 189.194284 \r\n",
       "L 282.997136 183.428646 \r\n",
       "L 285.863741 173.872749 \r\n",
       "L 292.552488 150.60273 \r\n",
       "L 294.463558 144.718953 \r\n",
       "L 296.374629 139.600529 \r\n",
       "L 298.285699 135.456813 \r\n",
       "L 299.241234 133.80846 \r\n",
       "L 300.196769 132.469187 \r\n",
       "L 301.152304 131.456062 \r\n",
       "L 302.10784 130.783519 \r\n",
       "L 303.063375 130.463195 \r\n",
       "L 304.01891 130.503769 \r\n",
       "L 304.974445 130.910836 \r\n",
       "L 305.92998 131.686799 \r\n",
       "L 306.885516 132.830795 \r\n",
       "L 307.841051 134.338647 \r\n",
       "L 308.796586 136.20286 \r\n",
       "L 309.752121 138.412653 \r\n",
       "L 311.663192 143.809924 \r\n",
       "L 313.574262 150.382542 \r\n",
       "L 315.485332 157.939765 \r\n",
       "L 318.351938 170.624246 \r\n",
       "L 326.951755 210.561899 \r\n",
       "L 328.862825 218.379591 \r\n",
       "L 330.773895 225.454762 \r\n",
       "L 332.684966 231.696064 \r\n",
       "L 334.596036 237.052447 \r\n",
       "L 336.507107 241.509827 \r\n",
       "L 338.418177 245.086207 \r\n",
       "L 340.329247 247.825816 \r\n",
       "L 341.284783 248.901258 \r\n",
       "L 342.240318 249.792729 \r\n",
       "L 343.195853 250.510265 \r\n",
       "L 344.151388 251.064334 \r\n",
       "L 345.106923 251.465636 \r\n",
       "L 346.062459 251.724923 \r\n",
       "L 347.017994 251.852822 \r\n",
       "L 347.973529 251.859682 \r\n",
       "L 349.884599 251.549424 \r\n",
       "L 351.79567 250.866403 \r\n",
       "L 353.70674 249.87155 \r\n",
       "L 355.617811 248.613416 \r\n",
       "L 357.528881 247.128872 \r\n",
       "L 360.395486 244.535953 \r\n",
       "L 363.262092 241.566223 \r\n",
       "L 366.128698 238.291824 \r\n",
       "L 370.906374 232.432403 \r\n",
       "L 375.68405 226.631903 \r\n",
       "L 378.550655 223.472417 \r\n",
       "L 381.417261 220.697945 \r\n",
       "L 384.283866 218.354937 \r\n",
       "L 387.150472 216.401879 \r\n",
       "L 394.794753 211.669459 \r\n",
       "L 396.705824 210.08669 \r\n",
       "L 398.616894 208.112168 \r\n",
       "L 400.527965 205.631665 \r\n",
       "L 402.439035 202.548335 \r\n",
       "L 404.350105 198.793694 \r\n",
       "L 406.261176 194.337352 \r\n",
       "L 408.172246 189.194284 \r\n",
       "L 410.083317 183.428646 \r\n",
       "L 412.949922 173.872749 \r\n",
       "L 417.727598 157.023325 \r\n",
       "L 417.727598 157.023325 \r\n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-dasharray:3.7,1.6;stroke-dashoffset:0;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_23\">\r\n",
       "    <path clip-path=\"url(#p89ea019c26)\" d=\"M 36.469056 80.963444 \r\n",
       "L 39.335662 71.415339 \r\n",
       "L 41.246732 65.71805 \r\n",
       "L 43.157802 60.844539 \r\n",
       "L 44.113338 58.789573 \r\n",
       "L 45.068873 57.024414 \r\n",
       "L 46.024408 55.572488 \r\n",
       "L 46.979943 54.454319 \r\n",
       "L 47.935478 53.687183 \r\n",
       "L 48.891013 53.284835 \r\n",
       "L 49.846549 53.25729 \r\n",
       "L 50.802084 53.610689 \r\n",
       "L 51.757619 54.347219 \r\n",
       "L 52.713154 55.465119 \r\n",
       "L 53.668689 56.958743 \r\n",
       "L 54.624225 58.81869 \r\n",
       "L 55.57976 61.031989 \r\n",
       "L 56.535295 63.582336 \r\n",
       "L 58.446365 69.613991 \r\n",
       "L 60.357436 76.727869 \r\n",
       "L 62.268506 84.705361 \r\n",
       "L 65.135112 97.763159 \r\n",
       "L 71.823858 129.031573 \r\n",
       "L 74.690464 140.999722 \r\n",
       "L 76.601534 148.085016 \r\n",
       "L 78.512604 154.337168 \r\n",
       "L 80.423675 159.700431 \r\n",
       "L 82.334745 164.158082 \r\n",
       "L 84.245816 167.728304 \r\n",
       "L 86.156886 170.457995 \r\n",
       "L 87.112421 171.528299 \r\n",
       "L 88.067956 172.41519 \r\n",
       "L 89.023492 173.129139 \r\n",
       "L 89.979027 173.680937 \r\n",
       "L 90.934562 174.081466 \r\n",
       "L 91.890097 174.341508 \r\n",
       "L 92.845632 174.471567 \r\n",
       "L 94.756703 174.381535 \r\n",
       "L 96.667773 173.885154 \r\n",
       "L 98.578844 173.045676 \r\n",
       "L 100.489914 171.915285 \r\n",
       "L 102.400984 170.535927 \r\n",
       "L 104.312055 168.941065 \r\n",
       "L 107.17866 166.203368 \r\n",
       "L 110.045266 163.12113 \r\n",
       "L 113.867407 158.617729 \r\n",
       "L 122.467223 148.177716 \r\n",
       "L 125.333829 145.121064 \r\n",
       "L 128.200435 142.486123 \r\n",
       "L 130.111505 140.981981 \r\n",
       "L 132.97811 139.057633 \r\n",
       "L 140.622392 134.335597 \r\n",
       "L 142.533462 132.727137 \r\n",
       "L 144.444533 130.731504 \r\n",
       "L 146.355603 128.251762 \r\n",
       "L 148.266674 125.208755 \r\n",
       "L 150.177744 121.547215 \r\n",
       "L 152.088814 117.241016 \r\n",
       "L 153.999885 112.297585 \r\n",
       "L 155.910955 106.761406 \r\n",
       "L 158.777561 97.540371 \r\n",
       "L 167.377377 68.478954 \r\n",
       "L 169.288448 63.16337 \r\n",
       "L 171.199518 58.789573 \r\n",
       "L 172.155053 57.024414 \r\n",
       "L 173.110589 55.572488 \r\n",
       "L 174.066124 54.454319 \r\n",
       "L 175.021659 53.687183 \r\n",
       "L 175.977194 53.284835 \r\n",
       "L 176.932729 53.25729 \r\n",
       "L 177.888265 53.610689 \r\n",
       "L 178.8438 54.347219 \r\n",
       "L 179.799335 55.465119 \r\n",
       "L 180.75487 56.958743 \r\n",
       "L 181.710405 58.81869 \r\n",
       "L 182.665941 61.031989 \r\n",
       "L 183.621476 63.582336 \r\n",
       "L 185.532546 69.613991 \r\n",
       "L 187.443617 76.727869 \r\n",
       "L 189.354687 84.705361 \r\n",
       "L 192.221292 97.763159 \r\n",
       "L 198.910039 129.031573 \r\n",
       "L 201.776644 140.999722 \r\n",
       "L 203.687715 148.085016 \r\n",
       "L 205.598785 154.337168 \r\n",
       "L 207.509856 159.700431 \r\n",
       "L 209.420926 164.158082 \r\n",
       "L 211.331996 167.728304 \r\n",
       "L 213.243067 170.457995 \r\n",
       "L 214.198602 171.528299 \r\n",
       "L 215.154137 172.41519 \r\n",
       "L 216.109672 173.129139 \r\n",
       "L 217.065207 173.680937 \r\n",
       "L 218.020743 174.081466 \r\n",
       "L 218.976278 174.341508 \r\n",
       "L 219.931813 174.471567 \r\n",
       "L 221.842883 174.381535 \r\n",
       "L 223.753954 173.885154 \r\n",
       "L 225.665024 173.045676 \r\n",
       "L 227.576095 171.915285 \r\n",
       "L 229.487165 170.535927 \r\n",
       "L 231.398235 168.941065 \r\n",
       "L 234.264841 166.203368 \r\n",
       "L 237.131447 163.12113 \r\n",
       "L 240.953587 158.617729 \r\n",
       "L 249.553404 148.177716 \r\n",
       "L 252.42001 145.121064 \r\n",
       "L 255.286615 142.486123 \r\n",
       "L 257.197686 140.981981 \r\n",
       "L 260.064291 139.057633 \r\n",
       "L 267.708573 134.335597 \r\n",
       "L 269.619643 132.727137 \r\n",
       "L 271.530714 130.731504 \r\n",
       "L 273.441784 128.251762 \r\n",
       "L 275.352854 125.208755 \r\n",
       "L 277.263925 121.547215 \r\n",
       "L 279.174995 117.241016 \r\n",
       "L 281.086065 112.297585 \r\n",
       "L 282.997136 106.761406 \r\n",
       "L 285.863741 97.540371 \r\n",
       "L 294.463558 68.478954 \r\n",
       "L 296.374629 63.16337 \r\n",
       "L 298.285699 58.789573 \r\n",
       "L 299.241234 57.024414 \r\n",
       "L 300.196769 55.572488 \r\n",
       "L 301.152304 54.454319 \r\n",
       "L 302.10784 53.687183 \r\n",
       "L 303.063375 53.284835 \r\n",
       "L 304.01891 53.25729 \r\n",
       "L 304.974445 53.610689 \r\n",
       "L 305.92998 54.347219 \r\n",
       "L 306.885516 55.465119 \r\n",
       "L 307.841051 56.958743 \r\n",
       "L 308.796586 58.81869 \r\n",
       "L 309.752121 61.031989 \r\n",
       "L 310.707656 63.582336 \r\n",
       "L 312.618727 69.613991 \r\n",
       "L 314.529797 76.727869 \r\n",
       "L 316.440868 84.705361 \r\n",
       "L 319.307473 97.763159 \r\n",
       "L 325.99622 129.031573 \r\n",
       "L 328.862825 140.999722 \r\n",
       "L 330.773895 148.085016 \r\n",
       "L 332.684966 154.337168 \r\n",
       "L 334.596036 159.700431 \r\n",
       "L 336.507107 164.158082 \r\n",
       "L 338.418177 167.728304 \r\n",
       "L 340.329247 170.457995 \r\n",
       "L 341.284783 171.528299 \r\n",
       "L 342.240318 172.41519 \r\n",
       "L 343.195853 173.129139 \r\n",
       "L 344.151388 173.680937 \r\n",
       "L 345.106923 174.081466 \r\n",
       "L 346.062459 174.341508 \r\n",
       "L 347.017994 174.471567 \r\n",
       "L 348.929064 174.381535 \r\n",
       "L 350.840135 173.885154 \r\n",
       "L 352.751205 173.045676 \r\n",
       "L 354.662275 171.915285 \r\n",
       "L 356.573346 170.535927 \r\n",
       "L 358.484416 168.941065 \r\n",
       "L 361.351022 166.203368 \r\n",
       "L 364.217627 163.12113 \r\n",
       "L 368.039768 158.617729 \r\n",
       "L 376.639585 148.177716 \r\n",
       "L 379.50619 145.121064 \r\n",
       "L 382.372796 142.486123 \r\n",
       "L 384.283866 140.981981 \r\n",
       "L 387.150472 139.057633 \r\n",
       "L 394.794753 134.335597 \r\n",
       "L 396.705824 132.727137 \r\n",
       "L 398.616894 130.731504 \r\n",
       "L 400.527965 128.251762 \r\n",
       "L 402.439035 125.208755 \r\n",
       "L 404.350105 121.547215 \r\n",
       "L 406.261176 117.241016 \r\n",
       "L 408.172246 112.297585 \r\n",
       "L 410.083317 106.761406 \r\n",
       "L 412.949922 97.540371 \r\n",
       "L 417.727598 80.963444 \r\n",
       "L 417.727598 80.963444 \r\n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-dasharray:3.7,1.6;stroke-dashoffset:0;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_24\">\r\n",
       "    <path clip-path=\"url(#p89ea019c26)\" d=\"M 36.469056 127.53805 \r\n",
       "L 38.380126 121.85847 \r\n",
       "L 40.291197 116.704536 \r\n",
       "L 42.202267 112.222686 \r\n",
       "L 44.113338 108.546079 \r\n",
       "L 45.068873 107.046603 \r\n",
       "L 46.024408 105.790086 \r\n",
       "L 46.979943 104.78752 \r\n",
       "L 47.935478 104.048324 \r\n",
       "L 48.891013 103.580259 \r\n",
       "L 49.846549 103.38936 \r\n",
       "L 50.802084 103.479874 \r\n",
       "L 51.757619 103.854217 \r\n",
       "L 52.713154 104.512947 \r\n",
       "L 53.668689 105.454749 \r\n",
       "L 54.624225 106.676438 \r\n",
       "L 55.57976 108.172973 \r\n",
       "L 56.535295 109.937492 \r\n",
       "L 58.446365 114.234213 \r\n",
       "L 60.357436 119.477387 \r\n",
       "L 62.268506 125.553086 \r\n",
       "L 64.179577 132.326078 \r\n",
       "L 67.046182 143.455943 \r\n",
       "L 76.601534 182.061317 \r\n",
       "L 78.512604 188.822743 \r\n",
       "L 80.423675 194.93699 \r\n",
       "L 82.334745 200.303003 \r\n",
       "L 84.245816 204.84484 \r\n",
       "L 86.156886 208.513343 \r\n",
       "L 87.112421 210.01226 \r\n",
       "L 88.067956 211.286888 \r\n",
       "L 89.023492 212.338792 \r\n",
       "L 89.979027 213.171183 \r\n",
       "L 90.934562 213.788857 \r\n",
       "L 91.890097 214.19813 \r\n",
       "L 92.845632 214.406752 \r\n",
       "L 93.801168 214.42381 \r\n",
       "L 94.756703 214.259631 \r\n",
       "L 95.712238 213.925657 \r\n",
       "L 96.667773 213.434326 \r\n",
       "L 98.578844 212.033519 \r\n",
       "L 100.489914 210.17144 \r\n",
       "L 102.400984 207.96922 \r\n",
       "L 106.223125 203.034611 \r\n",
       "L 110.045266 198.1561 \r\n",
       "L 111.956336 195.981279 \r\n",
       "L 113.867407 194.079684 \r\n",
       "L 115.778477 192.498728 \r\n",
       "L 117.689547 191.263615 \r\n",
       "L 119.600618 190.376721 \r\n",
       "L 121.511688 189.817884 \r\n",
       "L 123.422759 189.545576 \r\n",
       "L 125.333829 189.498936 \r\n",
       "L 129.15597 189.759984 \r\n",
       "L 132.022575 189.888268 \r\n",
       "L 133.933646 189.747558 \r\n",
       "L 135.844716 189.305705 \r\n",
       "L 137.755786 188.466907 \r\n",
       "L 139.666857 187.146619 \r\n",
       "L 141.577927 185.275587 \r\n",
       "L 143.488998 182.803345 \r\n",
       "L 145.400068 179.701064 \r\n",
       "L 147.311138 175.96361 \r\n",
       "L 149.222209 171.61077 \r\n",
       "L 151.133279 166.687549 \r\n",
       "L 153.04435 161.263551 \r\n",
       "L 155.910955 152.397045 \r\n",
       "L 164.510772 124.642094 \r\n",
       "L 166.421842 119.206389 \r\n",
       "L 168.332913 114.370912 \r\n",
       "L 170.243983 110.27605 \r\n",
       "L 171.199518 108.546079 \r\n",
       "L 172.155053 107.046603 \r\n",
       "L 173.110589 105.790086 \r\n",
       "L 174.066124 104.78752 \r\n",
       "L 175.021659 104.048324 \r\n",
       "L 175.977194 103.580259 \r\n",
       "L 176.932729 103.38936 \r\n",
       "L 177.888265 103.479874 \r\n",
       "L 178.8438 103.854217 \r\n",
       "L 179.799335 104.512947 \r\n",
       "L 180.75487 105.454749 \r\n",
       "L 181.710405 106.676438 \r\n",
       "L 182.665941 108.172973 \r\n",
       "L 183.621476 109.937492 \r\n",
       "L 185.532546 114.234213 \r\n",
       "L 187.443617 119.477387 \r\n",
       "L 189.354687 125.553086 \r\n",
       "L 191.265757 132.326078 \r\n",
       "L 194.132363 143.455943 \r\n",
       "L 203.687715 182.061317 \r\n",
       "L 205.598785 188.822743 \r\n",
       "L 207.509856 194.93699 \r\n",
       "L 209.420926 200.303003 \r\n",
       "L 211.331996 204.84484 \r\n",
       "L 213.243067 208.513343 \r\n",
       "L 214.198602 210.01226 \r\n",
       "L 215.154137 211.286888 \r\n",
       "L 216.109672 212.338792 \r\n",
       "L 217.065207 213.171183 \r\n",
       "L 218.020743 213.788857 \r\n",
       "L 218.976278 214.19813 \r\n",
       "L 219.931813 214.406752 \r\n",
       "L 220.887348 214.42381 \r\n",
       "L 221.842883 214.259631 \r\n",
       "L 222.798419 213.925657 \r\n",
       "L 223.753954 213.434326 \r\n",
       "L 225.665024 212.033519 \r\n",
       "L 227.576095 210.17144 \r\n",
       "L 229.487165 207.96922 \r\n",
       "L 233.309306 203.034611 \r\n",
       "L 237.131447 198.1561 \r\n",
       "L 239.042517 195.981279 \r\n",
       "L 240.953587 194.079684 \r\n",
       "L 242.864658 192.498728 \r\n",
       "L 244.775728 191.263615 \r\n",
       "L 246.686798 190.376721 \r\n",
       "L 248.597869 189.817884 \r\n",
       "L 250.508939 189.545576 \r\n",
       "L 252.42001 189.498936 \r\n",
       "L 256.24215 189.759984 \r\n",
       "L 259.108756 189.888268 \r\n",
       "L 261.019826 189.747558 \r\n",
       "L 262.930897 189.305705 \r\n",
       "L 264.841967 188.466907 \r\n",
       "L 266.753038 187.146619 \r\n",
       "L 268.664108 185.275587 \r\n",
       "L 270.575178 182.803345 \r\n",
       "L 272.486249 179.701064 \r\n",
       "L 274.397319 175.96361 \r\n",
       "L 276.308389 171.61077 \r\n",
       "L 278.21946 166.687549 \r\n",
       "L 280.13053 161.263551 \r\n",
       "L 282.997136 152.397045 \r\n",
       "L 291.596953 124.642094 \r\n",
       "L 293.508023 119.206389 \r\n",
       "L 295.419093 114.370912 \r\n",
       "L 297.330164 110.27605 \r\n",
       "L 298.285699 108.546079 \r\n",
       "L 299.241234 107.046603 \r\n",
       "L 300.196769 105.790086 \r\n",
       "L 301.152304 104.78752 \r\n",
       "L 302.10784 104.048324 \r\n",
       "L 303.063375 103.580259 \r\n",
       "L 304.01891 103.38936 \r\n",
       "L 304.974445 103.479874 \r\n",
       "L 305.92998 103.854217 \r\n",
       "L 306.885516 104.512947 \r\n",
       "L 307.841051 105.454749 \r\n",
       "L 308.796586 106.676438 \r\n",
       "L 309.752121 108.172973 \r\n",
       "L 310.707656 109.937492 \r\n",
       "L 312.618727 114.234213 \r\n",
       "L 314.529797 119.477387 \r\n",
       "L 316.440868 125.553086 \r\n",
       "L 318.351938 132.326078 \r\n",
       "L 321.218544 143.455943 \r\n",
       "L 330.773895 182.061317 \r\n",
       "L 332.684966 188.822743 \r\n",
       "L 334.596036 194.93699 \r\n",
       "L 336.507107 200.303003 \r\n",
       "L 338.418177 204.84484 \r\n",
       "L 340.329247 208.513343 \r\n",
       "L 341.284783 210.01226 \r\n",
       "L 342.240318 211.286888 \r\n",
       "L 343.195853 212.338792 \r\n",
       "L 344.151388 213.171183 \r\n",
       "L 345.106923 213.788857 \r\n",
       "L 346.062459 214.19813 \r\n",
       "L 347.017994 214.406752 \r\n",
       "L 347.973529 214.42381 \r\n",
       "L 348.929064 214.259631 \r\n",
       "L 349.884599 213.925657 \r\n",
       "L 350.840135 213.434326 \r\n",
       "L 352.751205 212.033519 \r\n",
       "L 354.662275 210.17144 \r\n",
       "L 356.573346 207.96922 \r\n",
       "L 360.395486 203.034611 \r\n",
       "L 364.217627 198.1561 \r\n",
       "L 366.128698 195.981279 \r\n",
       "L 368.039768 194.079684 \r\n",
       "L 369.950838 192.498728 \r\n",
       "L 371.861909 191.263615 \r\n",
       "L 373.772979 190.376721 \r\n",
       "L 375.68405 189.817884 \r\n",
       "L 377.59512 189.545576 \r\n",
       "L 379.50619 189.498936 \r\n",
       "L 383.328331 189.759984 \r\n",
       "L 386.194937 189.888268 \r\n",
       "L 388.106007 189.747558 \r\n",
       "L 390.017077 189.305705 \r\n",
       "L 391.928148 188.466907 \r\n",
       "L 393.839218 187.146619 \r\n",
       "L 395.750289 185.275587 \r\n",
       "L 397.661359 182.803345 \r\n",
       "L 399.572429 179.701064 \r\n",
       "L 401.4835 175.96361 \r\n",
       "L 403.39457 171.61077 \r\n",
       "L 405.305641 166.687549 \r\n",
       "L 407.216711 161.263551 \r\n",
       "L 410.083317 152.397045 \r\n",
       "L 417.727598 127.53805 \r\n",
       "L 417.727598 127.53805 \r\n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-opacity:0.85;stroke-width:1.4;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"PathCollection_1\">\r\n",
       "    <defs>\r\n",
       "     <path d=\"M 0 2 \r\n",
       "C 0.530406 2 1.03916 1.789267 1.414214 1.414214 \r\n",
       "C 1.789267 1.03916 2 0.530406 2 0 \r\n",
       "C 2 -0.530406 1.789267 -1.03916 1.414214 -1.414214 \r\n",
       "C 1.03916 -1.789267 0.530406 -2 0 -2 \r\n",
       "C -0.530406 -2 -1.03916 -1.789267 -1.414214 -1.414214 \r\n",
       "C -1.789267 -1.03916 -2 -0.530406 -2 0 \r\n",
       "C -2 0.530406 -1.789267 1.03916 -1.414214 1.414214 \r\n",
       "C -1.03916 1.789267 -0.530406 2 0 2 \r\n",
       "z\r\n",
       "\" id=\"m18e750fd2e\" style=\"stroke:#0000ff;stroke-opacity:0.5;\"/>\r\n",
       "    </defs>\r\n",
       "    <g clip-path=\"url(#p89ea019c26)\">\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"163.555237\" xlink:href=\"#m18e750fd2e\" y=\"121.838622\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"167.654791\" xlink:href=\"#m18e750fd2e\" y=\"102.051687\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"171.754345\" xlink:href=\"#m18e750fd2e\" y=\"101.250869\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"175.853899\" xlink:href=\"#m18e750fd2e\" y=\"95.543636\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"179.953454\" xlink:href=\"#m18e750fd2e\" y=\"105.58695\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"184.053008\" xlink:href=\"#m18e750fd2e\" y=\"91.689913\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"188.152562\" xlink:href=\"#m18e750fd2e\" y=\"113.54668\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"192.252116\" xlink:href=\"#m18e750fd2e\" y=\"140.537174\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"196.35167\" xlink:href=\"#m18e750fd2e\" y=\"147.783565\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"200.451225\" xlink:href=\"#m18e750fd2e\" y=\"172.098926\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"204.550779\" xlink:href=\"#m18e750fd2e\" y=\"208.887779\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"208.650333\" xlink:href=\"#m18e750fd2e\" y=\"203.960257\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"212.749887\" xlink:href=\"#m18e750fd2e\" y=\"199.626198\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"216.849441\" xlink:href=\"#m18e750fd2e\" y=\"205.899706\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"220.948996\" xlink:href=\"#m18e750fd2e\" y=\"206.741943\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"225.04855\" xlink:href=\"#m18e750fd2e\" y=\"227.040181\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"229.148104\" xlink:href=\"#m18e750fd2e\" y=\"197.917929\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"233.247658\" xlink:href=\"#m18e750fd2e\" y=\"213.118538\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"237.347213\" xlink:href=\"#m18e750fd2e\" y=\"202.400345\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"241.446767\" xlink:href=\"#m18e750fd2e\" y=\"203.558236\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"245.546321\" xlink:href=\"#m18e750fd2e\" y=\"183.740903\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"249.645875\" xlink:href=\"#m18e750fd2e\" y=\"188.943089\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"253.745429\" xlink:href=\"#m18e750fd2e\" y=\"166.940791\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"257.844984\" xlink:href=\"#m18e750fd2e\" y=\"189.258015\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"261.944538\" xlink:href=\"#m18e750fd2e\" y=\"182.822846\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"266.044092\" xlink:href=\"#m18e750fd2e\" y=\"178.229184\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"270.143646\" xlink:href=\"#m18e750fd2e\" y=\"166.451088\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"274.243201\" xlink:href=\"#m18e750fd2e\" y=\"148.352699\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"278.342755\" xlink:href=\"#m18e750fd2e\" y=\"178.4078\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"282.442309\" xlink:href=\"#m18e750fd2e\" y=\"148.840812\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"286.541863\" xlink:href=\"#m18e750fd2e\" y=\"123.453383\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"290.641417\" xlink:href=\"#m18e750fd2e\" y=\"114.272644\"/>\r\n",
       "    </g>\r\n",
       "   </g>\r\n",
       "   <g id=\"legend_1\">\r\n",
       "    <g id=\"patch_5\">\r\n",
       "     <path d=\"M 325.586604 74.347146 \r\n",
       "L 425.165354 74.347146 \r\n",
       "L 425.165354 6.834646 \r\n",
       "L 325.586604 6.834646 \r\n",
       "z\r\n",
       "\" style=\"fill:#ffffff;stroke:#000000;stroke-linejoin:miter;\"/>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_25\">\r\n",
       "     <path d=\"M 331.986604 16.513396 \r\n",
       "L 347.986604 16.513396 \r\n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linejoin:miter;\"/>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_26\"/>\r\n",
       "    <g id=\"text_10\">\r\n",
       "     <!-- fitting curve -->\r\n",
       "     <defs>\r\n",
       "      <path d=\"M 37.109375 75.984375 \r\n",
       "L 37.109375 68.5 \r\n",
       "L 28.515625 68.5 \r\n",
       "Q 23.6875 68.5 21.796875 66.546875 \r\n",
       "Q 19.921875 64.59375 19.921875 59.515625 \r\n",
       "L 19.921875 54.6875 \r\n",
       "L 34.71875 54.6875 \r\n",
       "L 34.71875 47.703125 \r\n",
       "L 19.921875 47.703125 \r\n",
       "L 19.921875 0 \r\n",
       "L 10.890625 0 \r\n",
       "L 10.890625 47.703125 \r\n",
       "L 2.296875 47.703125 \r\n",
       "L 2.296875 54.6875 \r\n",
       "L 10.890625 54.6875 \r\n",
       "L 10.890625 58.5 \r\n",
       "Q 10.890625 67.625 15.140625 71.796875 \r\n",
       "Q 19.390625 75.984375 28.609375 75.984375 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-102\"/>\r\n",
       "      <path d=\"M 9.421875 54.6875 \r\n",
       "L 18.40625 54.6875 \r\n",
       "L 18.40625 0 \r\n",
       "L 9.421875 0 \r\n",
       "z\r\n",
       "M 9.421875 75.984375 \r\n",
       "L 18.40625 75.984375 \r\n",
       "L 18.40625 64.59375 \r\n",
       "L 9.421875 64.59375 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-105\"/>\r\n",
       "      <path d=\"M 18.3125 70.21875 \r\n",
       "L 18.3125 54.6875 \r\n",
       "L 36.8125 54.6875 \r\n",
       "L 36.8125 47.703125 \r\n",
       "L 18.3125 47.703125 \r\n",
       "L 18.3125 18.015625 \r\n",
       "Q 18.3125 11.328125 20.140625 9.421875 \r\n",
       "Q 21.96875 7.515625 27.59375 7.515625 \r\n",
       "L 36.8125 7.515625 \r\n",
       "L 36.8125 0 \r\n",
       "L 27.59375 0 \r\n",
       "Q 17.1875 0 13.234375 3.875 \r\n",
       "Q 9.28125 7.765625 9.28125 18.015625 \r\n",
       "L 9.28125 47.703125 \r\n",
       "L 2.6875 47.703125 \r\n",
       "L 2.6875 54.6875 \r\n",
       "L 9.28125 54.6875 \r\n",
       "L 9.28125 70.21875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-116\"/>\r\n",
       "      <path d=\"M 54.890625 33.015625 \r\n",
       "L 54.890625 0 \r\n",
       "L 45.90625 0 \r\n",
       "L 45.90625 32.71875 \r\n",
       "Q 45.90625 40.484375 42.875 44.328125 \r\n",
       "Q 39.84375 48.1875 33.796875 48.1875 \r\n",
       "Q 26.515625 48.1875 22.3125 43.546875 \r\n",
       "Q 18.109375 38.921875 18.109375 30.90625 \r\n",
       "L 18.109375 0 \r\n",
       "L 9.078125 0 \r\n",
       "L 9.078125 54.6875 \r\n",
       "L 18.109375 54.6875 \r\n",
       "L 18.109375 46.1875 \r\n",
       "Q 21.34375 51.125 25.703125 53.5625 \r\n",
       "Q 30.078125 56 35.796875 56 \r\n",
       "Q 45.21875 56 50.046875 50.171875 \r\n",
       "Q 54.890625 44.34375 54.890625 33.015625 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-110\"/>\r\n",
       "      <path d=\"M 45.40625 27.984375 \r\n",
       "Q 45.40625 37.75 41.375 43.109375 \r\n",
       "Q 37.359375 48.484375 30.078125 48.484375 \r\n",
       "Q 22.859375 48.484375 18.828125 43.109375 \r\n",
       "Q 14.796875 37.75 14.796875 27.984375 \r\n",
       "Q 14.796875 18.265625 18.828125 12.890625 \r\n",
       "Q 22.859375 7.515625 30.078125 7.515625 \r\n",
       "Q 37.359375 7.515625 41.375 12.890625 \r\n",
       "Q 45.40625 18.265625 45.40625 27.984375 \r\n",
       "z\r\n",
       "M 54.390625 6.78125 \r\n",
       "Q 54.390625 -7.171875 48.1875 -13.984375 \r\n",
       "Q 42 -20.796875 29.203125 -20.796875 \r\n",
       "Q 24.46875 -20.796875 20.265625 -20.09375 \r\n",
       "Q 16.0625 -19.390625 12.109375 -17.921875 \r\n",
       "L 12.109375 -9.1875 \r\n",
       "Q 16.0625 -11.328125 19.921875 -12.34375 \r\n",
       "Q 23.78125 -13.375 27.78125 -13.375 \r\n",
       "Q 36.625 -13.375 41.015625 -8.765625 \r\n",
       "Q 45.40625 -4.15625 45.40625 5.171875 \r\n",
       "L 45.40625 9.625 \r\n",
       "Q 42.625 4.78125 38.28125 2.390625 \r\n",
       "Q 33.9375 0 27.875 0 \r\n",
       "Q 17.828125 0 11.671875 7.65625 \r\n",
       "Q 5.515625 15.328125 5.515625 27.984375 \r\n",
       "Q 5.515625 40.671875 11.671875 48.328125 \r\n",
       "Q 17.828125 56 27.875 56 \r\n",
       "Q 33.9375 56 38.28125 53.609375 \r\n",
       "Q 42.625 51.21875 45.40625 46.390625 \r\n",
       "L 45.40625 54.6875 \r\n",
       "L 54.390625 54.6875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-103\"/>\r\n",
       "      <path id=\"DejaVuSans-32\"/>\r\n",
       "      <path d=\"M 48.78125 52.59375 \r\n",
       "L 48.78125 44.1875 \r\n",
       "Q 44.96875 46.296875 41.140625 47.34375 \r\n",
       "Q 37.3125 48.390625 33.40625 48.390625 \r\n",
       "Q 24.65625 48.390625 19.8125 42.84375 \r\n",
       "Q 14.984375 37.3125 14.984375 27.296875 \r\n",
       "Q 14.984375 17.28125 19.8125 11.734375 \r\n",
       "Q 24.65625 6.203125 33.40625 6.203125 \r\n",
       "Q 37.3125 6.203125 41.140625 7.25 \r\n",
       "Q 44.96875 8.296875 48.78125 10.40625 \r\n",
       "L 48.78125 2.09375 \r\n",
       "Q 45.015625 0.34375 40.984375 -0.53125 \r\n",
       "Q 36.96875 -1.421875 32.421875 -1.421875 \r\n",
       "Q 20.0625 -1.421875 12.78125 6.34375 \r\n",
       "Q 5.515625 14.109375 5.515625 27.296875 \r\n",
       "Q 5.515625 40.671875 12.859375 48.328125 \r\n",
       "Q 20.21875 56 33.015625 56 \r\n",
       "Q 37.15625 56 41.109375 55.140625 \r\n",
       "Q 45.0625 54.296875 48.78125 52.59375 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-99\"/>\r\n",
       "      <path d=\"M 8.5 21.578125 \r\n",
       "L 8.5 54.6875 \r\n",
       "L 17.484375 54.6875 \r\n",
       "L 17.484375 21.921875 \r\n",
       "Q 17.484375 14.15625 20.5 10.265625 \r\n",
       "Q 23.53125 6.390625 29.59375 6.390625 \r\n",
       "Q 36.859375 6.390625 41.078125 11.03125 \r\n",
       "Q 45.3125 15.671875 45.3125 23.6875 \r\n",
       "L 45.3125 54.6875 \r\n",
       "L 54.296875 54.6875 \r\n",
       "L 54.296875 0 \r\n",
       "L 45.3125 0 \r\n",
       "L 45.3125 8.40625 \r\n",
       "Q 42.046875 3.421875 37.71875 1 \r\n",
       "Q 33.40625 -1.421875 27.6875 -1.421875 \r\n",
       "Q 18.265625 -1.421875 13.375 4.4375 \r\n",
       "Q 8.5 10.296875 8.5 21.578125 \r\n",
       "z\r\n",
       "M 31.109375 56 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-117\"/>\r\n",
       "      <path d=\"M 41.109375 46.296875 \r\n",
       "Q 39.59375 47.171875 37.8125 47.578125 \r\n",
       "Q 36.03125 48 33.890625 48 \r\n",
       "Q 26.265625 48 22.1875 43.046875 \r\n",
       "Q 18.109375 38.09375 18.109375 28.8125 \r\n",
       "L 18.109375 0 \r\n",
       "L 9.078125 0 \r\n",
       "L 9.078125 54.6875 \r\n",
       "L 18.109375 54.6875 \r\n",
       "L 18.109375 46.1875 \r\n",
       "Q 20.953125 51.171875 25.484375 53.578125 \r\n",
       "Q 30.03125 56 36.53125 56 \r\n",
       "Q 37.453125 56 38.578125 55.875 \r\n",
       "Q 39.703125 55.765625 41.0625 55.515625 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-114\"/>\r\n",
       "      <path d=\"M 2.984375 54.6875 \r\n",
       "L 12.5 54.6875 \r\n",
       "L 29.59375 8.796875 \r\n",
       "L 46.6875 54.6875 \r\n",
       "L 56.203125 54.6875 \r\n",
       "L 35.6875 0 \r\n",
       "L 23.484375 0 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-118\"/>\r\n",
       "      <path d=\"M 56.203125 29.59375 \r\n",
       "L 56.203125 25.203125 \r\n",
       "L 14.890625 25.203125 \r\n",
       "Q 15.484375 15.921875 20.484375 11.0625 \r\n",
       "Q 25.484375 6.203125 34.421875 6.203125 \r\n",
       "Q 39.59375 6.203125 44.453125 7.46875 \r\n",
       "Q 49.3125 8.734375 54.109375 11.28125 \r\n",
       "L 54.109375 2.78125 \r\n",
       "Q 49.265625 0.734375 44.1875 -0.34375 \r\n",
       "Q 39.109375 -1.421875 33.890625 -1.421875 \r\n",
       "Q 20.796875 -1.421875 13.15625 6.1875 \r\n",
       "Q 5.515625 13.8125 5.515625 26.8125 \r\n",
       "Q 5.515625 40.234375 12.765625 48.109375 \r\n",
       "Q 20.015625 56 32.328125 56 \r\n",
       "Q 43.359375 56 49.78125 48.890625 \r\n",
       "Q 56.203125 41.796875 56.203125 29.59375 \r\n",
       "z\r\n",
       "M 47.21875 32.234375 \r\n",
       "Q 47.125 39.59375 43.09375 43.984375 \r\n",
       "Q 39.0625 48.390625 32.421875 48.390625 \r\n",
       "Q 24.90625 48.390625 20.390625 44.140625 \r\n",
       "Q 15.875 39.890625 15.1875 32.171875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-101\"/>\r\n",
       "     </defs>\r\n",
       "     <g transform=\"translate(354.386604 19.313396)scale(0.08 -0.08)\">\r\n",
       "      <use xlink:href=\"#DejaVuSans-102\"/>\r\n",
       "      <use x=\"35.205078\" xlink:href=\"#DejaVuSans-105\"/>\r\n",
       "      <use x=\"62.988281\" xlink:href=\"#DejaVuSans-116\"/>\r\n",
       "      <use x=\"102.197266\" xlink:href=\"#DejaVuSans-116\"/>\r\n",
       "      <use x=\"141.40625\" xlink:href=\"#DejaVuSans-105\"/>\r\n",
       "      <use x=\"169.189453\" xlink:href=\"#DejaVuSans-110\"/>\r\n",
       "      <use x=\"232.568359\" xlink:href=\"#DejaVuSans-103\"/>\r\n",
       "      <use x=\"296.044922\" xlink:href=\"#DejaVuSans-32\"/>\r\n",
       "      <use x=\"327.832031\" xlink:href=\"#DejaVuSans-99\"/>\r\n",
       "      <use x=\"382.8125\" xlink:href=\"#DejaVuSans-117\"/>\r\n",
       "      <use x=\"446.191406\" xlink:href=\"#DejaVuSans-114\"/>\r\n",
       "      <use x=\"487.304688\" xlink:href=\"#DejaVuSans-118\"/>\r\n",
       "      <use x=\"546.484375\" xlink:href=\"#DejaVuSans-101\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_27\">\r\n",
       "     <path d=\"M 331.986604 28.255896 \r\n",
       "L 347.986604 28.255896 \r\n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-dasharray:1,1.65;stroke-dashoffset:0;stroke-linejoin:miter;\"/>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_28\"/>\r\n",
       "    <g id=\"text_11\">\r\n",
       "     <!-- 95.0% conf. int. -->\r\n",
       "     <defs>\r\n",
       "      <path d=\"M 10.984375 1.515625 \r\n",
       "L 10.984375 10.5 \r\n",
       "Q 14.703125 8.734375 18.5 7.8125 \r\n",
       "Q 22.3125 6.890625 25.984375 6.890625 \r\n",
       "Q 35.75 6.890625 40.890625 13.453125 \r\n",
       "Q 46.046875 20.015625 46.78125 33.40625 \r\n",
       "Q 43.953125 29.203125 39.59375 26.953125 \r\n",
       "Q 35.25 24.703125 29.984375 24.703125 \r\n",
       "Q 19.046875 24.703125 12.671875 31.3125 \r\n",
       "Q 6.296875 37.9375 6.296875 49.421875 \r\n",
       "Q 6.296875 60.640625 12.9375 67.421875 \r\n",
       "Q 19.578125 74.21875 30.609375 74.21875 \r\n",
       "Q 43.265625 74.21875 49.921875 64.515625 \r\n",
       "Q 56.59375 54.828125 56.59375 36.375 \r\n",
       "Q 56.59375 19.140625 48.40625 8.859375 \r\n",
       "Q 40.234375 -1.421875 26.421875 -1.421875 \r\n",
       "Q 22.703125 -1.421875 18.890625 -0.6875 \r\n",
       "Q 15.09375 0.046875 10.984375 1.515625 \r\n",
       "z\r\n",
       "M 30.609375 32.421875 \r\n",
       "Q 37.25 32.421875 41.125 36.953125 \r\n",
       "Q 45.015625 41.5 45.015625 49.421875 \r\n",
       "Q 45.015625 57.28125 41.125 61.84375 \r\n",
       "Q 37.25 66.40625 30.609375 66.40625 \r\n",
       "Q 23.96875 66.40625 20.09375 61.84375 \r\n",
       "Q 16.21875 57.28125 16.21875 49.421875 \r\n",
       "Q 16.21875 41.5 20.09375 36.953125 \r\n",
       "Q 23.96875 32.421875 30.609375 32.421875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-57\"/>\r\n",
       "      <path d=\"M 72.703125 32.078125 \r\n",
       "Q 68.453125 32.078125 66.03125 28.46875 \r\n",
       "Q 63.625 24.859375 63.625 18.40625 \r\n",
       "Q 63.625 12.0625 66.03125 8.421875 \r\n",
       "Q 68.453125 4.78125 72.703125 4.78125 \r\n",
       "Q 76.859375 4.78125 79.265625 8.421875 \r\n",
       "Q 81.6875 12.0625 81.6875 18.40625 \r\n",
       "Q 81.6875 24.8125 79.265625 28.4375 \r\n",
       "Q 76.859375 32.078125 72.703125 32.078125 \r\n",
       "z\r\n",
       "M 72.703125 38.28125 \r\n",
       "Q 80.421875 38.28125 84.953125 32.90625 \r\n",
       "Q 89.5 27.546875 89.5 18.40625 \r\n",
       "Q 89.5 9.28125 84.9375 3.921875 \r\n",
       "Q 80.375 -1.421875 72.703125 -1.421875 \r\n",
       "Q 64.890625 -1.421875 60.34375 3.921875 \r\n",
       "Q 55.8125 9.28125 55.8125 18.40625 \r\n",
       "Q 55.8125 27.59375 60.375 32.9375 \r\n",
       "Q 64.9375 38.28125 72.703125 38.28125 \r\n",
       "z\r\n",
       "M 22.3125 68.015625 \r\n",
       "Q 18.109375 68.015625 15.6875 64.375 \r\n",
       "Q 13.28125 60.75 13.28125 54.390625 \r\n",
       "Q 13.28125 47.953125 15.671875 44.328125 \r\n",
       "Q 18.0625 40.71875 22.3125 40.71875 \r\n",
       "Q 26.5625 40.71875 28.96875 44.328125 \r\n",
       "Q 31.390625 47.953125 31.390625 54.390625 \r\n",
       "Q 31.390625 60.6875 28.953125 64.34375 \r\n",
       "Q 26.515625 68.015625 22.3125 68.015625 \r\n",
       "z\r\n",
       "M 66.40625 74.21875 \r\n",
       "L 74.21875 74.21875 \r\n",
       "L 28.609375 -1.421875 \r\n",
       "L 20.796875 -1.421875 \r\n",
       "z\r\n",
       "M 22.3125 74.21875 \r\n",
       "Q 30.03125 74.21875 34.609375 68.875 \r\n",
       "Q 39.203125 63.53125 39.203125 54.390625 \r\n",
       "Q 39.203125 45.171875 34.640625 39.84375 \r\n",
       "Q 30.078125 34.515625 22.3125 34.515625 \r\n",
       "Q 14.546875 34.515625 10.03125 39.859375 \r\n",
       "Q 5.515625 45.21875 5.515625 54.390625 \r\n",
       "Q 5.515625 63.484375 10.046875 68.84375 \r\n",
       "Q 14.59375 74.21875 22.3125 74.21875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-37\"/>\r\n",
       "      <path d=\"M 30.609375 48.390625 \r\n",
       "Q 23.390625 48.390625 19.1875 42.75 \r\n",
       "Q 14.984375 37.109375 14.984375 27.296875 \r\n",
       "Q 14.984375 17.484375 19.15625 11.84375 \r\n",
       "Q 23.34375 6.203125 30.609375 6.203125 \r\n",
       "Q 37.796875 6.203125 41.984375 11.859375 \r\n",
       "Q 46.1875 17.53125 46.1875 27.296875 \r\n",
       "Q 46.1875 37.015625 41.984375 42.703125 \r\n",
       "Q 37.796875 48.390625 30.609375 48.390625 \r\n",
       "z\r\n",
       "M 30.609375 56 \r\n",
       "Q 42.328125 56 49.015625 48.375 \r\n",
       "Q 55.71875 40.765625 55.71875 27.296875 \r\n",
       "Q 55.71875 13.875 49.015625 6.21875 \r\n",
       "Q 42.328125 -1.421875 30.609375 -1.421875 \r\n",
       "Q 18.84375 -1.421875 12.171875 6.21875 \r\n",
       "Q 5.515625 13.875 5.515625 27.296875 \r\n",
       "Q 5.515625 40.765625 12.171875 48.375 \r\n",
       "Q 18.84375 56 30.609375 56 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-111\"/>\r\n",
       "     </defs>\r\n",
       "     <g transform=\"translate(354.386604 31.055896)scale(0.08 -0.08)\">\r\n",
       "      <use xlink:href=\"#DejaVuSans-57\"/>\r\n",
       "      <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\r\n",
       "      <use x=\"127.246094\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "      <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\r\n",
       "      <use x=\"222.65625\" xlink:href=\"#DejaVuSans-37\"/>\r\n",
       "      <use x=\"317.675781\" xlink:href=\"#DejaVuSans-32\"/>\r\n",
       "      <use x=\"349.462891\" xlink:href=\"#DejaVuSans-99\"/>\r\n",
       "      <use x=\"404.443359\" xlink:href=\"#DejaVuSans-111\"/>\r\n",
       "      <use x=\"465.625\" xlink:href=\"#DejaVuSans-110\"/>\r\n",
       "      <use x=\"529.003906\" xlink:href=\"#DejaVuSans-102\"/>\r\n",
       "      <use x=\"564.099609\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "      <use x=\"595.886719\" xlink:href=\"#DejaVuSans-32\"/>\r\n",
       "      <use x=\"627.673828\" xlink:href=\"#DejaVuSans-105\"/>\r\n",
       "      <use x=\"655.457031\" xlink:href=\"#DejaVuSans-110\"/>\r\n",
       "      <use x=\"718.835938\" xlink:href=\"#DejaVuSans-116\"/>\r\n",
       "      <use x=\"758.044922\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_29\">\r\n",
       "     <path d=\"M 331.986604 39.998396 \r\n",
       "L 347.986604 39.998396 \r\n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-dasharray:3.7,1.6;stroke-dashoffset:0;stroke-linejoin:miter;\"/>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_30\"/>\r\n",
       "    <g id=\"text_12\">\r\n",
       "     <!-- 95.0% pred. int. -->\r\n",
       "     <defs>\r\n",
       "      <path d=\"M 18.109375 8.203125 \r\n",
       "L 18.109375 -20.796875 \r\n",
       "L 9.078125 -20.796875 \r\n",
       "L 9.078125 54.6875 \r\n",
       "L 18.109375 54.6875 \r\n",
       "L 18.109375 46.390625 \r\n",
       "Q 20.953125 51.265625 25.265625 53.625 \r\n",
       "Q 29.59375 56 35.59375 56 \r\n",
       "Q 45.5625 56 51.78125 48.09375 \r\n",
       "Q 58.015625 40.1875 58.015625 27.296875 \r\n",
       "Q 58.015625 14.40625 51.78125 6.484375 \r\n",
       "Q 45.5625 -1.421875 35.59375 -1.421875 \r\n",
       "Q 29.59375 -1.421875 25.265625 0.953125 \r\n",
       "Q 20.953125 3.328125 18.109375 8.203125 \r\n",
       "z\r\n",
       "M 48.6875 27.296875 \r\n",
       "Q 48.6875 37.203125 44.609375 42.84375 \r\n",
       "Q 40.53125 48.484375 33.40625 48.484375 \r\n",
       "Q 26.265625 48.484375 22.1875 42.84375 \r\n",
       "Q 18.109375 37.203125 18.109375 27.296875 \r\n",
       "Q 18.109375 17.390625 22.1875 11.75 \r\n",
       "Q 26.265625 6.109375 33.40625 6.109375 \r\n",
       "Q 40.53125 6.109375 44.609375 11.75 \r\n",
       "Q 48.6875 17.390625 48.6875 27.296875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-112\"/>\r\n",
       "      <path d=\"M 45.40625 46.390625 \r\n",
       "L 45.40625 75.984375 \r\n",
       "L 54.390625 75.984375 \r\n",
       "L 54.390625 0 \r\n",
       "L 45.40625 0 \r\n",
       "L 45.40625 8.203125 \r\n",
       "Q 42.578125 3.328125 38.25 0.953125 \r\n",
       "Q 33.9375 -1.421875 27.875 -1.421875 \r\n",
       "Q 17.96875 -1.421875 11.734375 6.484375 \r\n",
       "Q 5.515625 14.40625 5.515625 27.296875 \r\n",
       "Q 5.515625 40.1875 11.734375 48.09375 \r\n",
       "Q 17.96875 56 27.875 56 \r\n",
       "Q 33.9375 56 38.25 53.625 \r\n",
       "Q 42.578125 51.265625 45.40625 46.390625 \r\n",
       "z\r\n",
       "M 14.796875 27.296875 \r\n",
       "Q 14.796875 17.390625 18.875 11.75 \r\n",
       "Q 22.953125 6.109375 30.078125 6.109375 \r\n",
       "Q 37.203125 6.109375 41.296875 11.75 \r\n",
       "Q 45.40625 17.390625 45.40625 27.296875 \r\n",
       "Q 45.40625 37.203125 41.296875 42.84375 \r\n",
       "Q 37.203125 48.484375 30.078125 48.484375 \r\n",
       "Q 22.953125 48.484375 18.875 42.84375 \r\n",
       "Q 14.796875 37.203125 14.796875 27.296875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-100\"/>\r\n",
       "     </defs>\r\n",
       "     <g transform=\"translate(354.386604 42.798396)scale(0.08 -0.08)\">\r\n",
       "      <use xlink:href=\"#DejaVuSans-57\"/>\r\n",
       "      <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\r\n",
       "      <use x=\"127.246094\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "      <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\r\n",
       "      <use x=\"222.65625\" xlink:href=\"#DejaVuSans-37\"/>\r\n",
       "      <use x=\"317.675781\" xlink:href=\"#DejaVuSans-32\"/>\r\n",
       "      <use x=\"349.462891\" xlink:href=\"#DejaVuSans-112\"/>\r\n",
       "      <use x=\"412.939453\" xlink:href=\"#DejaVuSans-114\"/>\r\n",
       "      <use x=\"454.021484\" xlink:href=\"#DejaVuSans-101\"/>\r\n",
       "      <use x=\"515.544922\" xlink:href=\"#DejaVuSans-100\"/>\r\n",
       "      <use x=\"579.021484\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "      <use x=\"610.808594\" xlink:href=\"#DejaVuSans-32\"/>\r\n",
       "      <use x=\"642.595703\" xlink:href=\"#DejaVuSans-105\"/>\r\n",
       "      <use x=\"670.378906\" xlink:href=\"#DejaVuSans-110\"/>\r\n",
       "      <use x=\"733.757812\" xlink:href=\"#DejaVuSans-116\"/>\r\n",
       "      <use x=\"772.966797\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_31\">\r\n",
       "     <path d=\"M 331.986604 51.740896 \r\n",
       "L 347.986604 51.740896 \r\n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linejoin:miter;stroke-opacity:0.85;\"/>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_32\"/>\r\n",
       "    <g id=\"text_13\">\r\n",
       "     <!-- true curve -->\r\n",
       "     <g transform=\"translate(354.386604 54.540896)scale(0.08 -0.08)\">\r\n",
       "      <use xlink:href=\"#DejaVuSans-116\"/>\r\n",
       "      <use x=\"39.208984\" xlink:href=\"#DejaVuSans-114\"/>\r\n",
       "      <use x=\"80.322266\" xlink:href=\"#DejaVuSans-117\"/>\r\n",
       "      <use x=\"143.701172\" xlink:href=\"#DejaVuSans-101\"/>\r\n",
       "      <use x=\"205.224609\" xlink:href=\"#DejaVuSans-32\"/>\r\n",
       "      <use x=\"237.011719\" xlink:href=\"#DejaVuSans-99\"/>\r\n",
       "      <use x=\"291.992188\" xlink:href=\"#DejaVuSans-117\"/>\r\n",
       "      <use x=\"355.371094\" xlink:href=\"#DejaVuSans-114\"/>\r\n",
       "      <use x=\"396.484375\" xlink:href=\"#DejaVuSans-118\"/>\r\n",
       "      <use x=\"455.664062\" xlink:href=\"#DejaVuSans-101\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_33\">\r\n",
       "     <path d=\"M 331.986604 63.483396 \r\n",
       "L 347.986604 63.483396 \r\n",
       "\" style=\"fill:none;\"/>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_34\">\r\n",
       "     <defs>\r\n",
       "      <path d=\"M 0 3.2 \r\n",
       "C 0.84865 3.2 1.662656 2.862828 2.262742 2.262742 \r\n",
       "C 2.862828 1.662656 3.2 0.84865 3.2 0 \r\n",
       "C 3.2 -0.84865 2.862828 -1.662656 2.262742 -2.262742 \r\n",
       "C 1.662656 -2.862828 0.84865 -3.2 0 -3.2 \r\n",
       "C -0.84865 -3.2 -1.662656 -2.862828 -2.262742 -2.262742 \r\n",
       "C -2.862828 -1.662656 -3.2 -0.84865 -3.2 0 \r\n",
       "C -3.2 0.84865 -2.862828 1.662656 -2.262742 2.262742 \r\n",
       "C -1.662656 2.862828 -0.84865 3.2 0 3.2 \r\n",
       "z\r\n",
       "\" id=\"maad6788da0\" style=\"stroke:#0000ff;stroke-opacity:0.5;stroke-width:1.6;\"/>\r\n",
       "     </defs>\r\n",
       "     <g>\r\n",
       "      <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;stroke-width:1.6;\" x=\"339.986604\" xlink:href=\"#maad6788da0\" y=\"63.483396\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"text_14\">\r\n",
       "     <!-- sample -->\r\n",
       "     <defs>\r\n",
       "      <path d=\"M 44.28125 53.078125 \r\n",
       "L 44.28125 44.578125 \r\n",
       "Q 40.484375 46.53125 36.375 47.5 \r\n",
       "Q 32.28125 48.484375 27.875 48.484375 \r\n",
       "Q 21.1875 48.484375 17.84375 46.4375 \r\n",
       "Q 14.5 44.390625 14.5 40.28125 \r\n",
       "Q 14.5 37.15625 16.890625 35.375 \r\n",
       "Q 19.28125 33.59375 26.515625 31.984375 \r\n",
       "L 29.59375 31.296875 \r\n",
       "Q 39.15625 29.25 43.1875 25.515625 \r\n",
       "Q 47.21875 21.78125 47.21875 15.09375 \r\n",
       "Q 47.21875 7.46875 41.1875 3.015625 \r\n",
       "Q 35.15625 -1.421875 24.609375 -1.421875 \r\n",
       "Q 20.21875 -1.421875 15.453125 -0.5625 \r\n",
       "Q 10.6875 0.296875 5.421875 2 \r\n",
       "L 5.421875 11.28125 \r\n",
       "Q 10.40625 8.6875 15.234375 7.390625 \r\n",
       "Q 20.0625 6.109375 24.8125 6.109375 \r\n",
       "Q 31.15625 6.109375 34.5625 8.28125 \r\n",
       "Q 37.984375 10.453125 37.984375 14.40625 \r\n",
       "Q 37.984375 18.0625 35.515625 20.015625 \r\n",
       "Q 33.0625 21.96875 24.703125 23.78125 \r\n",
       "L 21.578125 24.515625 \r\n",
       "Q 13.234375 26.265625 9.515625 29.90625 \r\n",
       "Q 5.8125 33.546875 5.8125 39.890625 \r\n",
       "Q 5.8125 47.609375 11.28125 51.796875 \r\n",
       "Q 16.75 56 26.8125 56 \r\n",
       "Q 31.78125 56 36.171875 55.265625 \r\n",
       "Q 40.578125 54.546875 44.28125 53.078125 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-115\"/>\r\n",
       "      <path d=\"M 34.28125 27.484375 \r\n",
       "Q 23.390625 27.484375 19.1875 25 \r\n",
       "Q 14.984375 22.515625 14.984375 16.5 \r\n",
       "Q 14.984375 11.71875 18.140625 8.90625 \r\n",
       "Q 21.296875 6.109375 26.703125 6.109375 \r\n",
       "Q 34.1875 6.109375 38.703125 11.40625 \r\n",
       "Q 43.21875 16.703125 43.21875 25.484375 \r\n",
       "L 43.21875 27.484375 \r\n",
       "z\r\n",
       "M 52.203125 31.203125 \r\n",
       "L 52.203125 0 \r\n",
       "L 43.21875 0 \r\n",
       "L 43.21875 8.296875 \r\n",
       "Q 40.140625 3.328125 35.546875 0.953125 \r\n",
       "Q 30.953125 -1.421875 24.3125 -1.421875 \r\n",
       "Q 15.921875 -1.421875 10.953125 3.296875 \r\n",
       "Q 6 8.015625 6 15.921875 \r\n",
       "Q 6 25.140625 12.171875 29.828125 \r\n",
       "Q 18.359375 34.515625 30.609375 34.515625 \r\n",
       "L 43.21875 34.515625 \r\n",
       "L 43.21875 35.40625 \r\n",
       "Q 43.21875 41.609375 39.140625 45 \r\n",
       "Q 35.0625 48.390625 27.6875 48.390625 \r\n",
       "Q 23 48.390625 18.546875 47.265625 \r\n",
       "Q 14.109375 46.140625 10.015625 43.890625 \r\n",
       "L 10.015625 52.203125 \r\n",
       "Q 14.9375 54.109375 19.578125 55.046875 \r\n",
       "Q 24.21875 56 28.609375 56 \r\n",
       "Q 40.484375 56 46.34375 49.84375 \r\n",
       "Q 52.203125 43.703125 52.203125 31.203125 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-97\"/>\r\n",
       "      <path d=\"M 52 44.1875 \r\n",
       "Q 55.375 50.25 60.0625 53.125 \r\n",
       "Q 64.75 56 71.09375 56 \r\n",
       "Q 79.640625 56 84.28125 50.015625 \r\n",
       "Q 88.921875 44.046875 88.921875 33.015625 \r\n",
       "L 88.921875 0 \r\n",
       "L 79.890625 0 \r\n",
       "L 79.890625 32.71875 \r\n",
       "Q 79.890625 40.578125 77.09375 44.375 \r\n",
       "Q 74.3125 48.1875 68.609375 48.1875 \r\n",
       "Q 61.625 48.1875 57.5625 43.546875 \r\n",
       "Q 53.515625 38.921875 53.515625 30.90625 \r\n",
       "L 53.515625 0 \r\n",
       "L 44.484375 0 \r\n",
       "L 44.484375 32.71875 \r\n",
       "Q 44.484375 40.625 41.703125 44.40625 \r\n",
       "Q 38.921875 48.1875 33.109375 48.1875 \r\n",
       "Q 26.21875 48.1875 22.15625 43.53125 \r\n",
       "Q 18.109375 38.875 18.109375 30.90625 \r\n",
       "L 18.109375 0 \r\n",
       "L 9.078125 0 \r\n",
       "L 9.078125 54.6875 \r\n",
       "L 18.109375 54.6875 \r\n",
       "L 18.109375 46.1875 \r\n",
       "Q 21.1875 51.21875 25.484375 53.609375 \r\n",
       "Q 29.78125 56 35.6875 56 \r\n",
       "Q 41.65625 56 45.828125 52.96875 \r\n",
       "Q 50 49.953125 52 44.1875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-109\"/>\r\n",
       "      <path d=\"M 9.421875 75.984375 \r\n",
       "L 18.40625 75.984375 \r\n",
       "L 18.40625 0 \r\n",
       "L 9.421875 0 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-108\"/>\r\n",
       "     </defs>\r\n",
       "     <g transform=\"translate(354.386604 66.283396)scale(0.08 -0.08)\">\r\n",
       "      <use xlink:href=\"#DejaVuSans-115\"/>\r\n",
       "      <use x=\"52.099609\" xlink:href=\"#DejaVuSans-97\"/>\r\n",
       "      <use x=\"113.378906\" xlink:href=\"#DejaVuSans-109\"/>\r\n",
       "      <use x=\"210.791016\" xlink:href=\"#DejaVuSans-112\"/>\r\n",
       "      <use x=\"274.267578\" xlink:href=\"#DejaVuSans-108\"/>\r\n",
       "      <use x=\"302.050781\" xlink:href=\"#DejaVuSans-101\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "   </g>\r\n",
       "  </g>\r\n",
       " </g>\r\n",
       " <defs>\r\n",
       "  <clipPath id=\"p89ea019c26\">\r\n",
       "   <rect height=\"270.190709\" width=\"404.134055\" x=\"25.0313\" y=\"2.834646\"/>\r\n",
       "  </clipPath>\r\n",
       " </defs>\r\n",
       "</svg>\r\n"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "G = [one; cos; sin; x->cos(2x); x->sin(2x); [[x->cos(3x), x->sin(3x)] for k in 3:10]...]\n",
    "plot_linear_regression(G, x, f_true; b=b, σ=σ, y=y, xs=range(-2π, 4π, length=400), ylim=(-2, 11))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "b̂ = [1.5118375436966138, 0.6234362385784558, -0.699258801355383, -0.7245603654914766, -0.6632613569275949, -2.1622845357208265, -0.8196672736193877, -2.4829103865547117, -1.2092123634620573, -1.055323774357349, -1.6441844761647606, -1.863504146956927, -0.18314801288770247, -0.7959169304098317, 1.9272753733479218, 0.16446459124198962]\n",
      "û = 0.39112463183254637\n"
     ]
    },
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\r\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\r\n",
       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\r\n",
       "<!-- Created with matplotlib (https://matplotlib.org/) -->\r\n",
       "<svg height=\"288pt\" version=\"1.1\" viewBox=\"0 0 432 288\" width=\"432pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\r\n",
       " <defs>\r\n",
       "  <style type=\"text/css\">\r\n",
       "*{stroke-linecap:butt;stroke-linejoin:round;}\r\n",
       "  </style>\r\n",
       " </defs>\r\n",
       " <g id=\"figure_1\">\r\n",
       "  <g id=\"patch_1\">\r\n",
       "   <path d=\"M 0 288 \r\n",
       "L 432 288 \r\n",
       "L 432 0 \r\n",
       "L 0 0 \r\n",
       "z\r\n",
       "\" style=\"fill:#ffffff;\"/>\r\n",
       "  </g>\r\n",
       "  <g id=\"axes_1\">\r\n",
       "   <g id=\"patch_2\">\r\n",
       "    <path d=\"M 19.034149 273.025354 \r\n",
       "L 429.165354 273.025354 \r\n",
       "L 429.165354 6.434646 \r\n",
       "L 19.034149 6.434646 \r\n",
       "z\r\n",
       "\" style=\"fill:#ffffff;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"matplotlib.axis_1\">\r\n",
       "    <g id=\"xtick_1\">\r\n",
       "     <g id=\"line2d_1\">\r\n",
       "      <path clip-path=\"url(#p2b65a10444)\" d=\"M 62.884655 273.025354 \r\n",
       "L 62.884655 6.434646 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_2\">\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 0 0 \r\n",
       "L 0 -2.5 \r\n",
       "\" id=\"m6e6fe8675c\" style=\"stroke:#000000;stroke-width:0.5;\"/>\r\n",
       "      </defs>\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"62.884655\" xlink:href=\"#m6e6fe8675c\" y=\"273.025354\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_1\">\r\n",
       "      <!-- $\\mathregular{0.0}$ -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 31.78125 66.40625 \r\n",
       "Q 24.171875 66.40625 20.328125 58.90625 \r\n",
       "Q 16.5 51.421875 16.5 36.375 \r\n",
       "Q 16.5 21.390625 20.328125 13.890625 \r\n",
       "Q 24.171875 6.390625 31.78125 6.390625 \r\n",
       "Q 39.453125 6.390625 43.28125 13.890625 \r\n",
       "Q 47.125 21.390625 47.125 36.375 \r\n",
       "Q 47.125 51.421875 43.28125 58.90625 \r\n",
       "Q 39.453125 66.40625 31.78125 66.40625 \r\n",
       "z\r\n",
       "M 31.78125 74.21875 \r\n",
       "Q 44.046875 74.21875 50.515625 64.515625 \r\n",
       "Q 56.984375 54.828125 56.984375 36.375 \r\n",
       "Q 56.984375 17.96875 50.515625 8.265625 \r\n",
       "Q 44.046875 -1.421875 31.78125 -1.421875 \r\n",
       "Q 19.53125 -1.421875 13.0625 8.265625 \r\n",
       "Q 6.59375 17.96875 6.59375 36.375 \r\n",
       "Q 6.59375 54.828125 13.0625 64.515625 \r\n",
       "Q 19.53125 74.21875 31.78125 74.21875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-48\"/>\r\n",
       "       <path d=\"M 10.6875 12.40625 \r\n",
       "L 21 12.40625 \r\n",
       "L 21 0 \r\n",
       "L 10.6875 0 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-46\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(56.484655 282.604104)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\r\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "       <use transform=\"translate(95.410156 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_2\">\r\n",
       "     <g id=\"line2d_3\">\r\n",
       "      <path clip-path=\"url(#p2b65a10444)\" d=\"M 143.492203 273.025354 \r\n",
       "L 143.492203 6.434646 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_4\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"143.492203\" xlink:href=\"#m6e6fe8675c\" y=\"273.025354\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_2\">\r\n",
       "      <!-- $\\mathregular{2.5}$ -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 19.1875 8.296875 \r\n",
       "L 53.609375 8.296875 \r\n",
       "L 53.609375 0 \r\n",
       "L 7.328125 0 \r\n",
       "L 7.328125 8.296875 \r\n",
       "Q 12.9375 14.109375 22.625 23.890625 \r\n",
       "Q 32.328125 33.6875 34.8125 36.53125 \r\n",
       "Q 39.546875 41.84375 41.421875 45.53125 \r\n",
       "Q 43.3125 49.21875 43.3125 52.78125 \r\n",
       "Q 43.3125 58.59375 39.234375 62.25 \r\n",
       "Q 35.15625 65.921875 28.609375 65.921875 \r\n",
       "Q 23.96875 65.921875 18.8125 64.3125 \r\n",
       "Q 13.671875 62.703125 7.8125 59.421875 \r\n",
       "L 7.8125 69.390625 \r\n",
       "Q 13.765625 71.78125 18.9375 73 \r\n",
       "Q 24.125 74.21875 28.421875 74.21875 \r\n",
       "Q 39.75 74.21875 46.484375 68.546875 \r\n",
       "Q 53.21875 62.890625 53.21875 53.421875 \r\n",
       "Q 53.21875 48.921875 51.53125 44.890625 \r\n",
       "Q 49.859375 40.875 45.40625 35.40625 \r\n",
       "Q 44.1875 33.984375 37.640625 27.21875 \r\n",
       "Q 31.109375 20.453125 19.1875 8.296875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-50\"/>\r\n",
       "       <path d=\"M 10.796875 72.90625 \r\n",
       "L 49.515625 72.90625 \r\n",
       "L 49.515625 64.59375 \r\n",
       "L 19.828125 64.59375 \r\n",
       "L 19.828125 46.734375 \r\n",
       "Q 21.96875 47.46875 24.109375 47.828125 \r\n",
       "Q 26.265625 48.1875 28.421875 48.1875 \r\n",
       "Q 40.625 48.1875 47.75 41.5 \r\n",
       "Q 54.890625 34.8125 54.890625 23.390625 \r\n",
       "Q 54.890625 11.625 47.5625 5.09375 \r\n",
       "Q 40.234375 -1.421875 26.90625 -1.421875 \r\n",
       "Q 22.3125 -1.421875 17.546875 -0.640625 \r\n",
       "Q 12.796875 0.140625 7.71875 1.703125 \r\n",
       "L 7.71875 11.625 \r\n",
       "Q 12.109375 9.234375 16.796875 8.0625 \r\n",
       "Q 21.484375 6.890625 26.703125 6.890625 \r\n",
       "Q 35.15625 6.890625 40.078125 11.328125 \r\n",
       "Q 45.015625 15.765625 45.015625 23.390625 \r\n",
       "Q 45.015625 31 40.078125 35.4375 \r\n",
       "Q 35.15625 39.890625 26.703125 39.890625 \r\n",
       "Q 22.75 39.890625 18.8125 39.015625 \r\n",
       "Q 14.890625 38.140625 10.796875 36.28125 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-53\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(137.092203 282.604104)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-50\"/>\r\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "       <use transform=\"translate(95.410156 0.78125)\" xlink:href=\"#DejaVuSans-53\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_3\">\r\n",
       "     <g id=\"line2d_5\">\r\n",
       "      <path clip-path=\"url(#p2b65a10444)\" d=\"M 224.099752 273.025354 \r\n",
       "L 224.099752 6.434646 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_6\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"224.099752\" xlink:href=\"#m6e6fe8675c\" y=\"273.025354\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_3\">\r\n",
       "      <!-- $\\mathregular{5.0}$ -->\r\n",
       "      <g transform=\"translate(217.699752 282.604104)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-53\"/>\r\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "       <use transform=\"translate(95.410156 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_4\">\r\n",
       "     <g id=\"line2d_7\">\r\n",
       "      <path clip-path=\"url(#p2b65a10444)\" d=\"M 304.7073 273.025354 \r\n",
       "L 304.7073 6.434646 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_8\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"304.7073\" xlink:href=\"#m6e6fe8675c\" y=\"273.025354\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_4\">\r\n",
       "      <!-- $\\mathregular{7.5}$ -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 8.203125 72.90625 \r\n",
       "L 55.078125 72.90625 \r\n",
       "L 55.078125 68.703125 \r\n",
       "L 28.609375 0 \r\n",
       "L 18.3125 0 \r\n",
       "L 43.21875 64.59375 \r\n",
       "L 8.203125 64.59375 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-55\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(298.3073 282.604104)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.09375)\" xlink:href=\"#DejaVuSans-55\"/>\r\n",
       "       <use transform=\"translate(63.623047 0.09375)\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "       <use transform=\"translate(95.410156 0.09375)\" xlink:href=\"#DejaVuSans-53\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_5\">\r\n",
       "     <g id=\"line2d_9\">\r\n",
       "      <path clip-path=\"url(#p2b65a10444)\" d=\"M 385.314848 273.025354 \r\n",
       "L 385.314848 6.434646 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_10\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"385.314848\" xlink:href=\"#m6e6fe8675c\" y=\"273.025354\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_5\">\r\n",
       "      <!-- $\\mathregular{10.0}$ -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 12.40625 8.296875 \r\n",
       "L 28.515625 8.296875 \r\n",
       "L 28.515625 63.921875 \r\n",
       "L 10.984375 60.40625 \r\n",
       "L 10.984375 69.390625 \r\n",
       "L 28.421875 72.90625 \r\n",
       "L 38.28125 72.90625 \r\n",
       "L 38.28125 8.296875 \r\n",
       "L 54.390625 8.296875 \r\n",
       "L 54.390625 0 \r\n",
       "L 12.40625 0 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-49\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(376.394848 282.604104)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-49\"/>\r\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\r\n",
       "       <use transform=\"translate(127.246094 0.78125)\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "       <use transform=\"translate(159.033203 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "   </g>\r\n",
       "   <g id=\"matplotlib.axis_2\">\r\n",
       "    <g id=\"ytick_1\">\r\n",
       "     <g id=\"line2d_11\">\r\n",
       "      <path clip-path=\"url(#p2b65a10444)\" d=\"M 19.034149 273.025354 \r\n",
       "L 429.165354 273.025354 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_12\">\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 0 0 \r\n",
       "L 2.5 0 \r\n",
       "\" id=\"m0839341c8d\" style=\"stroke:#000000;stroke-width:0.5;\"/>\r\n",
       "      </defs>\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"19.034149\" xlink:href=\"#m0839341c8d\" y=\"273.025354\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_6\">\r\n",
       "      <!-- $\\mathregular{-6}$ -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 10.59375 35.5 \r\n",
       "L 73.1875 35.5 \r\n",
       "L 73.1875 27.203125 \r\n",
       "L 10.59375 27.203125 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-8722\"/>\r\n",
       "       <path d=\"M 33.015625 40.375 \r\n",
       "Q 26.375 40.375 22.484375 35.828125 \r\n",
       "Q 18.609375 31.296875 18.609375 23.390625 \r\n",
       "Q 18.609375 15.53125 22.484375 10.953125 \r\n",
       "Q 26.375 6.390625 33.015625 6.390625 \r\n",
       "Q 39.65625 6.390625 43.53125 10.953125 \r\n",
       "Q 47.40625 15.53125 47.40625 23.390625 \r\n",
       "Q 47.40625 31.296875 43.53125 35.828125 \r\n",
       "Q 39.65625 40.375 33.015625 40.375 \r\n",
       "z\r\n",
       "M 52.59375 71.296875 \r\n",
       "L 52.59375 62.3125 \r\n",
       "Q 48.875 64.0625 45.09375 64.984375 \r\n",
       "Q 41.3125 65.921875 37.59375 65.921875 \r\n",
       "Q 27.828125 65.921875 22.671875 59.328125 \r\n",
       "Q 17.53125 52.734375 16.796875 39.40625 \r\n",
       "Q 19.671875 43.65625 24.015625 45.921875 \r\n",
       "Q 28.375 48.1875 33.59375 48.1875 \r\n",
       "Q 44.578125 48.1875 50.953125 41.515625 \r\n",
       "Q 57.328125 34.859375 57.328125 23.390625 \r\n",
       "Q 57.328125 12.15625 50.6875 5.359375 \r\n",
       "Q 44.046875 -1.421875 33.015625 -1.421875 \r\n",
       "Q 20.359375 -1.421875 13.671875 8.265625 \r\n",
       "Q 6.984375 17.96875 6.984375 36.375 \r\n",
       "Q 6.984375 53.65625 15.1875 63.9375 \r\n",
       "Q 23.390625 74.21875 37.203125 74.21875 \r\n",
       "Q 40.921875 74.21875 44.703125 73.484375 \r\n",
       "Q 48.484375 72.75 52.59375 71.296875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-54\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(3.694149 276.064729)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-8722\"/>\r\n",
       "       <use transform=\"translate(83.789062 0.78125)\" xlink:href=\"#DejaVuSans-54\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_2\">\r\n",
       "     <g id=\"line2d_13\">\r\n",
       "      <path clip-path=\"url(#p2b65a10444)\" d=\"M 19.034149 228.59357 \r\n",
       "L 429.165354 228.59357 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_14\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"19.034149\" xlink:href=\"#m0839341c8d\" y=\"228.59357\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_7\">\r\n",
       "      <!-- $\\mathregular{-4}$ -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 37.796875 64.3125 \r\n",
       "L 12.890625 25.390625 \r\n",
       "L 37.796875 25.390625 \r\n",
       "z\r\n",
       "M 35.203125 72.90625 \r\n",
       "L 47.609375 72.90625 \r\n",
       "L 47.609375 25.390625 \r\n",
       "L 58.015625 25.390625 \r\n",
       "L 58.015625 17.1875 \r\n",
       "L 47.609375 17.1875 \r\n",
       "L 47.609375 0 \r\n",
       "L 37.796875 0 \r\n",
       "L 37.796875 17.1875 \r\n",
       "L 4.890625 17.1875 \r\n",
       "L 4.890625 26.703125 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-52\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(3.694149 231.632945)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.09375)\" xlink:href=\"#DejaVuSans-8722\"/>\r\n",
       "       <use transform=\"translate(83.789062 0.09375)\" xlink:href=\"#DejaVuSans-52\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_3\">\r\n",
       "     <g id=\"line2d_15\">\r\n",
       "      <path clip-path=\"url(#p2b65a10444)\" d=\"M 19.034149 184.161785 \r\n",
       "L 429.165354 184.161785 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_16\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"19.034149\" xlink:href=\"#m0839341c8d\" y=\"184.161785\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_8\">\r\n",
       "      <!-- $\\mathregular{-2}$ -->\r\n",
       "      <g transform=\"translate(3.694149 187.20116)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-8722\"/>\r\n",
       "       <use transform=\"translate(83.789062 0.78125)\" xlink:href=\"#DejaVuSans-50\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_4\">\r\n",
       "     <g id=\"line2d_17\">\r\n",
       "      <path clip-path=\"url(#p2b65a10444)\" d=\"M 19.034149 139.73 \r\n",
       "L 429.165354 139.73 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_18\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"19.034149\" xlink:href=\"#m0839341c8d\" y=\"139.73\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_9\">\r\n",
       "      <!-- $\\mathregular{0}$ -->\r\n",
       "      <g transform=\"translate(10.414149 142.769375)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_5\">\r\n",
       "     <g id=\"line2d_19\">\r\n",
       "      <path clip-path=\"url(#p2b65a10444)\" d=\"M 19.034149 95.298215 \r\n",
       "L 429.165354 95.298215 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_20\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"19.034149\" xlink:href=\"#m0839341c8d\" y=\"95.298215\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_10\">\r\n",
       "      <!-- $\\mathregular{2}$ -->\r\n",
       "      <g transform=\"translate(10.414149 98.33759)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-50\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_6\">\r\n",
       "     <g id=\"line2d_21\">\r\n",
       "      <path clip-path=\"url(#p2b65a10444)\" d=\"M 19.034149 50.86643 \r\n",
       "L 429.165354 50.86643 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_22\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"19.034149\" xlink:href=\"#m0839341c8d\" y=\"50.86643\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_11\">\r\n",
       "      <!-- $\\mathregular{4}$ -->\r\n",
       "      <g transform=\"translate(10.414149 53.905805)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.09375)\" xlink:href=\"#DejaVuSans-52\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_7\">\r\n",
       "     <g id=\"line2d_23\">\r\n",
       "      <path clip-path=\"url(#p2b65a10444)\" d=\"M 19.034149 6.434646 \r\n",
       "L 429.165354 6.434646 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_24\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"19.034149\" xlink:href=\"#m0839341c8d\" y=\"6.434646\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_12\">\r\n",
       "      <!-- $\\mathregular{6}$ -->\r\n",
       "      <g transform=\"translate(10.414149 9.474021)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-54\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_25\">\r\n",
       "    <path clip-path=\"url(#p2b65a10444)\" d=\"M 30.641636 126.861838 \r\n",
       "L 33.55078 123.335283 \r\n",
       "L 37.42964 118.148911 \r\n",
       "L 43.247929 110.264312 \r\n",
       "L 46.157074 106.787881 \r\n",
       "L 48.096503 104.805377 \r\n",
       "L 50.035933 103.162575 \r\n",
       "L 51.975363 101.90874 \r\n",
       "L 53.914793 101.079961 \r\n",
       "L 55.854222 100.69807 \r\n",
       "L 56.823937 100.677619 \r\n",
       "L 57.793652 100.770674 \r\n",
       "L 59.733082 101.292188 \r\n",
       "L 61.672512 102.245697 \r\n",
       "L 63.611941 103.605341 \r\n",
       "L 65.551371 105.338905 \r\n",
       "L 67.490801 107.410273 \r\n",
       "L 69.43023 109.78148 \r\n",
       "L 72.339375 113.816701 \r\n",
       "L 75.24852 118.31287 \r\n",
       "L 79.127379 124.807977 \r\n",
       "L 90.763957 144.778104 \r\n",
       "L 93.673102 149.180897 \r\n",
       "L 96.582247 153.120669 \r\n",
       "L 98.521676 155.456308 \r\n",
       "L 100.461106 157.546794 \r\n",
       "L 102.400536 159.390183 \r\n",
       "L 104.339966 160.991772 \r\n",
       "L 106.279395 162.363192 \r\n",
       "L 108.218825 163.521243 \r\n",
       "L 110.158255 164.48665 \r\n",
       "L 113.067399 165.625427 \r\n",
       "L 115.976544 166.470082 \r\n",
       "L 119.855403 167.296202 \r\n",
       "L 127.613122 168.774267 \r\n",
       "L 130.522267 169.578798 \r\n",
       "L 133.431412 170.679782 \r\n",
       "L 135.370841 171.624621 \r\n",
       "L 137.310271 172.76486 \r\n",
       "L 139.249701 174.116702 \r\n",
       "L 141.189131 175.688335 \r\n",
       "L 143.12856 177.478146 \r\n",
       "L 146.037705 180.540345 \r\n",
       "L 148.946849 183.965566 \r\n",
       "L 157.674283 194.594319 \r\n",
       "L 159.613713 196.585158 \r\n",
       "L 161.553143 198.292197 \r\n",
       "L 163.492572 199.662976 \r\n",
       "L 165.432002 200.661529 \r\n",
       "L 167.371432 201.271839 \r\n",
       "L 169.310862 201.499953 \r\n",
       "L 171.250291 201.374534 \r\n",
       "L 173.189721 200.945726 \r\n",
       "L 175.129151 200.282387 \r\n",
       "L 179.00801 198.594738 \r\n",
       "L 181.917155 197.383742 \r\n",
       "L 183.856585 196.774135 \r\n",
       "L 185.796014 196.413884 \r\n",
       "L 187.735444 196.362405 \r\n",
       "L 189.674874 196.658015 \r\n",
       "L 191.614304 197.315334 \r\n",
       "L 193.553733 198.324209 \r\n",
       "L 195.493163 199.650214 \r\n",
       "L 197.432593 201.236722 \r\n",
       "L 200.341737 203.936275 \r\n",
       "L 205.190312 208.508498 \r\n",
       "L 207.129741 210.079125 \r\n",
       "L 209.069171 211.370287 \r\n",
       "L 211.008601 212.313432 \r\n",
       "L 212.948031 212.859542 \r\n",
       "L 214.88746 212.981465 \r\n",
       "L 216.82689 212.67454 \r\n",
       "L 218.76632 211.955557 \r\n",
       "L 220.70575 210.860238 \r\n",
       "L 222.645179 209.439581 \r\n",
       "L 224.584609 207.75549 \r\n",
       "L 227.493754 204.885172 \r\n",
       "L 236.221187 195.87184 \r\n",
       "L 239.130332 193.325827 \r\n",
       "L 241.069762 191.857931 \r\n",
       "L 243.009191 190.595608 \r\n",
       "L 244.948621 189.550401 \r\n",
       "L 246.888051 188.728526 \r\n",
       "L 248.827481 188.131848 \r\n",
       "L 250.76691 187.758693 \r\n",
       "L 252.70634 187.604452 \r\n",
       "L 254.64577 187.661965 \r\n",
       "L 256.5852 187.921708 \r\n",
       "L 258.524629 188.371823 \r\n",
       "L 260.464059 188.99803 \r\n",
       "L 263.373204 190.22999 \r\n",
       "L 266.282348 191.751795 \r\n",
       "L 270.161208 194.090656 \r\n",
       "L 278.888642 199.550939 \r\n",
       "L 281.797786 201.082283 \r\n",
       "L 284.706931 202.311805 \r\n",
       "L 286.64636 202.919258 \r\n",
       "L 288.58579 203.325997 \r\n",
       "L 290.52522 203.50555 \r\n",
       "L 292.46465 203.431795 \r\n",
       "L 294.404079 203.079778 \r\n",
       "L 296.343509 202.427096 \r\n",
       "L 298.282939 201.455775 \r\n",
       "L 300.222369 200.154491 \r\n",
       "L 302.161798 198.520869 \r\n",
       "L 304.101228 196.563542 \r\n",
       "L 306.040658 194.303643 \r\n",
       "L 308.949802 190.424898 \r\n",
       "L 311.858947 186.112731 \r\n",
       "L 320.586381 172.812274 \r\n",
       "L 323.495525 168.97996 \r\n",
       "L 325.434955 166.719347 \r\n",
       "L 327.374385 164.706348 \r\n",
       "L 329.313815 162.928714 \r\n",
       "L 332.222959 160.627703 \r\n",
       "L 340.950393 154.290079 \r\n",
       "L 342.889823 152.478125 \r\n",
       "L 344.829252 150.354735 \r\n",
       "L 346.768682 147.868689 \r\n",
       "L 348.708112 144.991155 \r\n",
       "L 350.647542 141.719461 \r\n",
       "L 352.586971 138.079271 \r\n",
       "L 355.496116 132.054254 \r\n",
       "L 364.22355 113.161697 \r\n",
       "L 366.162979 109.611492 \r\n",
       "L 368.102409 106.563737 \r\n",
       "L 370.041839 104.111557 \r\n",
       "L 371.011554 103.130725 \r\n",
       "L 371.981269 102.321398 \r\n",
       "L 372.950984 101.687142 \r\n",
       "L 373.920698 101.229541 \r\n",
       "L 374.890413 100.948214 \r\n",
       "L 375.860128 100.840868 \r\n",
       "L 376.829843 100.903377 \r\n",
       "L 377.799558 101.1299 \r\n",
       "L 378.769273 101.513018 \r\n",
       "L 379.738988 102.043902 \r\n",
       "L 381.678417 103.507696 \r\n",
       "L 383.617847 105.429662 \r\n",
       "L 385.557277 107.708329 \r\n",
       "L 388.466421 111.566681 \r\n",
       "L 396.22414 122.23943 \r\n",
       "L 399.133285 125.738834 \r\n",
       "L 402.04243 128.774752 \r\n",
       "L 403.981859 130.525219 \r\n",
       "L 405.921289 132.059909 \r\n",
       "L 407.860719 133.389221 \r\n",
       "L 409.800148 134.528103 \r\n",
       "L 412.709293 135.918285 \r\n",
       "L 415.618438 136.983101 \r\n",
       "L 417.557867 137.542735 \r\n",
       "L 417.557867 137.542735 \r\n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-width:2;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_26\">\r\n",
       "    <path clip-path=\"url(#p2b65a10444)\" d=\"M 30.641636 141.380477 \r\n",
       "L 34.520495 141.536518 \r\n",
       "L 37.42964 141.388722 \r\n",
       "L 39.36907 141.096949 \r\n",
       "L 41.308499 140.606006 \r\n",
       "L 43.247929 139.879411 \r\n",
       "L 45.187359 138.885955 \r\n",
       "L 47.126789 137.603729 \r\n",
       "L 49.066218 136.024567 \r\n",
       "L 51.005648 134.15869 \r\n",
       "L 52.945078 132.039357 \r\n",
       "L 55.854222 128.526895 \r\n",
       "L 59.733082 123.808597 \r\n",
       "L 61.672512 121.816356 \r\n",
       "L 62.642226 121.014395 \r\n",
       "L 63.611941 120.390537 \r\n",
       "L 64.581656 119.984789 \r\n",
       "L 65.551371 119.837262 \r\n",
       "L 66.521086 119.983455 \r\n",
       "L 67.490801 120.447302 \r\n",
       "L 68.460516 121.233724 \r\n",
       "L 69.43023 122.324127 \r\n",
       "L 70.399945 123.677932 \r\n",
       "L 72.339375 126.949595 \r\n",
       "L 78.157664 137.688119 \r\n",
       "L 81.066809 142.325309 \r\n",
       "L 84.945668 147.808279 \r\n",
       "L 87.854813 152.017717 \r\n",
       "L 90.763957 156.746921 \r\n",
       "L 95.612532 165.00676 \r\n",
       "L 97.551962 167.873525 \r\n",
       "L 99.491391 170.261018 \r\n",
       "L 101.430821 172.117307 \r\n",
       "L 103.370251 173.469936 \r\n",
       "L 105.30968 174.419673 \r\n",
       "L 108.218825 175.444928 \r\n",
       "L 111.12797 176.514037 \r\n",
       "L 114.037114 177.916067 \r\n",
       "L 117.915974 179.897928 \r\n",
       "L 119.855403 180.658365 \r\n",
       "L 121.794833 181.156175 \r\n",
       "L 123.734263 181.383149 \r\n",
       "L 126.643408 181.355166 \r\n",
       "L 129.552552 181.29115 \r\n",
       "L 131.491982 181.526473 \r\n",
       "L 132.461697 181.790738 \r\n",
       "L 133.431412 182.171022 \r\n",
       "L 135.370841 183.293093 \r\n",
       "L 137.310271 184.850748 \r\n",
       "L 139.249701 186.723058 \r\n",
       "L 149.916564 197.712812 \r\n",
       "L 153.795424 201.63906 \r\n",
       "L 156.704568 204.984193 \r\n",
       "L 161.553143 210.768329 \r\n",
       "L 163.492572 212.630769 \r\n",
       "L 164.462287 213.373165 \r\n",
       "L 165.432002 213.968619 \r\n",
       "L 166.401717 214.407209 \r\n",
       "L 167.371432 214.684046 \r\n",
       "L 168.341147 214.799402 \r\n",
       "L 169.310862 214.758735 \r\n",
       "L 170.280577 214.57261 \r\n",
       "L 172.220006 213.830565 \r\n",
       "L 174.159436 212.748895 \r\n",
       "L 178.038295 210.468706 \r\n",
       "L 179.977725 209.670591 \r\n",
       "L 181.917155 209.228627 \r\n",
       "L 183.856585 209.119028 \r\n",
       "L 185.796014 209.268665 \r\n",
       "L 188.705159 209.816338 \r\n",
       "L 191.614304 210.622535 \r\n",
       "L 194.523448 211.696163 \r\n",
       "L 196.462878 212.639297 \r\n",
       "L 198.402308 213.850801 \r\n",
       "L 200.341737 215.393866 \r\n",
       "L 202.281167 217.27077 \r\n",
       "L 208.099456 223.500202 \r\n",
       "L 210.038886 225.049018 \r\n",
       "L 211.008601 225.614387 \r\n",
       "L 211.978316 226.020452 \r\n",
       "L 212.948031 226.258442 \r\n",
       "L 213.917745 226.324705 \r\n",
       "L 214.88746 226.220738 \r\n",
       "L 215.857175 225.953108 \r\n",
       "L 216.82689 225.533276 \r\n",
       "L 218.76632 224.305143 \r\n",
       "L 220.70575 222.707647 \r\n",
       "L 227.493754 216.732582 \r\n",
       "L 233.312043 211.984534 \r\n",
       "L 236.221187 209.253951 \r\n",
       "L 243.009191 202.557036 \r\n",
       "L 244.948621 201.115636 \r\n",
       "L 245.918336 200.566311 \r\n",
       "L 246.888051 200.146499 \r\n",
       "L 247.857766 199.859658 \r\n",
       "L 248.827481 199.702115 \r\n",
       "L 250.76691 199.728715 \r\n",
       "L 252.70634 200.093338 \r\n",
       "L 256.5852 201.228909 \r\n",
       "L 259.494344 202.014909 \r\n",
       "L 266.282348 203.59668 \r\n",
       "L 268.221778 204.39243 \r\n",
       "L 270.161208 205.526707 \r\n",
       "L 272.100637 206.995231 \r\n",
       "L 275.979497 210.446832 \r\n",
       "L 277.918927 212.083154 \r\n",
       "L 279.858356 213.456276 \r\n",
       "L 281.797786 214.474124 \r\n",
       "L 283.737216 215.103975 \r\n",
       "L 285.676646 215.372805 \r\n",
       "L 287.616075 215.361638 \r\n",
       "L 291.494935 214.973818 \r\n",
       "L 296.343509 214.452665 \r\n",
       "L 298.282939 214.006295 \r\n",
       "L 300.222369 213.190352 \r\n",
       "L 301.192083 212.601591 \r\n",
       "L 302.161798 211.876784 \r\n",
       "L 304.101228 209.997961 \r\n",
       "L 306.040658 207.557389 \r\n",
       "L 307.980088 204.632205 \r\n",
       "L 310.889232 199.6716 \r\n",
       "L 314.768092 193.074163 \r\n",
       "L 316.707521 190.178315 \r\n",
       "L 318.646951 187.624006 \r\n",
       "L 321.556096 184.280902 \r\n",
       "L 330.283529 175.102231 \r\n",
       "L 333.192674 172.147143 \r\n",
       "L 335.132104 170.385597 \r\n",
       "L 337.071533 168.875295 \r\n",
       "L 339.980678 167.023866 \r\n",
       "L 342.889823 165.192488 \r\n",
       "L 344.829252 163.604059 \r\n",
       "L 346.768682 161.486791 \r\n",
       "L 348.708112 158.719679 \r\n",
       "L 350.647542 155.274275 \r\n",
       "L 352.586971 151.22239 \r\n",
       "L 355.496116 144.405819 \r\n",
       "L 358.405261 137.508887 \r\n",
       "L 360.34469 133.304668 \r\n",
       "L 362.28412 129.577928 \r\n",
       "L 364.22355 126.323053 \r\n",
       "L 366.162979 123.464783 \r\n",
       "L 368.102409 120.923682 \r\n",
       "L 370.041839 118.655074 \r\n",
       "L 371.981269 116.669168 \r\n",
       "L 373.920698 115.048818 \r\n",
       "L 374.890413 114.427373 \r\n",
       "L 375.860128 113.973762 \r\n",
       "L 376.829843 113.729081 \r\n",
       "L 377.799558 113.740304 \r\n",
       "L 378.769273 114.055665 \r\n",
       "L 379.738988 114.716829 \r\n",
       "L 380.708702 115.749521 \r\n",
       "L 381.678417 117.156438 \r\n",
       "L 382.648132 118.915955 \r\n",
       "L 384.587562 123.316148 \r\n",
       "L 386.526992 128.519313 \r\n",
       "L 392.345281 144.848467 \r\n",
       "L 394.284711 149.513232 \r\n",
       "L 396.22414 153.458292 \r\n",
       "L 398.16357 156.584229 \r\n",
       "L 399.133285 157.825257 \r\n",
       "L 400.103 158.850566 \r\n",
       "L 401.072715 159.663148 \r\n",
       "L 402.04243 160.268696 \r\n",
       "L 403.012144 160.675303 \r\n",
       "L 403.981859 160.893137 \r\n",
       "L 404.951574 160.934116 \r\n",
       "L 405.921289 160.811573 \r\n",
       "L 406.891004 160.53993 \r\n",
       "L 408.830434 159.610561 \r\n",
       "L 410.769863 158.271393 \r\n",
       "L 412.709293 156.646628 \r\n",
       "L 416.588153 152.99024 \r\n",
       "L 417.557867 152.061375 \r\n",
       "L 417.557867 152.061375 \r\n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-dasharray:1,1.65;stroke-dashoffset:0;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_3\">\r\n",
       "    <path d=\"M 19.034149 273.025354 \r\n",
       "L 19.034149 6.434646 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_4\">\r\n",
       "    <path d=\"M 19.034149 273.025354 \r\n",
       "L 429.165354 273.025354 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_27\">\r\n",
       "    <path clip-path=\"url(#p2b65a10444)\" d=\"M 30.641636 112.343198 \r\n",
       "L 33.55078 105.143561 \r\n",
       "L 41.308499 85.024918 \r\n",
       "L 43.247929 80.649213 \r\n",
       "L 45.187359 76.890093 \r\n",
       "L 47.126789 73.911688 \r\n",
       "L 48.096503 72.759641 \r\n",
       "L 49.066218 71.851723 \r\n",
       "L 50.035933 71.199166 \r\n",
       "L 51.005648 70.810218 \r\n",
       "L 51.975363 70.689879 \r\n",
       "L 52.945078 70.839673 \r\n",
       "L 53.914793 71.257463 \r\n",
       "L 54.884507 71.93729 \r\n",
       "L 55.854222 72.869245 \r\n",
       "L 56.823937 74.039358 \r\n",
       "L 57.793652 75.429493 \r\n",
       "L 59.733082 78.775779 \r\n",
       "L 61.672512 82.675038 \r\n",
       "L 65.551371 90.840548 \r\n",
       "L 67.490801 94.373243 \r\n",
       "L 69.43023 97.238833 \r\n",
       "L 71.36966 99.588472 \r\n",
       "L 74.278805 102.951409 \r\n",
       "L 76.218234 105.544579 \r\n",
       "L 78.157664 108.601085 \r\n",
       "L 80.097094 112.129871 \r\n",
       "L 83.006239 118.077757 \r\n",
       "L 86.885098 126.15745 \r\n",
       "L 88.824528 129.734332 \r\n",
       "L 90.763957 132.809288 \r\n",
       "L 92.703387 135.408923 \r\n",
       "L 95.612532 138.720522 \r\n",
       "L 106.279395 149.934815 \r\n",
       "L 108.218825 151.597558 \r\n",
       "L 110.158255 152.848967 \r\n",
       "L 112.097685 153.620167 \r\n",
       "L 114.037114 153.954424 \r\n",
       "L 115.976544 153.995646 \r\n",
       "L 119.855403 153.934039 \r\n",
       "L 121.794833 154.130862 \r\n",
       "L 123.734263 154.587967 \r\n",
       "L 125.673693 155.30922 \r\n",
       "L 128.582837 156.751233 \r\n",
       "L 132.461697 158.756951 \r\n",
       "L 135.370841 159.956148 \r\n",
       "L 138.279986 161.070558 \r\n",
       "L 140.219416 162.018115 \r\n",
       "L 142.158845 163.30275 \r\n",
       "L 144.098275 165.016888 \r\n",
       "L 146.037705 167.18443 \r\n",
       "L 147.977135 169.756175 \r\n",
       "L 150.886279 174.091192 \r\n",
       "L 153.795424 178.41427 \r\n",
       "L 155.734854 180.941142 \r\n",
       "L 157.674283 183.01937 \r\n",
       "L 159.613713 184.62375 \r\n",
       "L 161.553143 185.816066 \r\n",
       "L 163.492572 186.695182 \r\n",
       "L 165.432002 187.354439 \r\n",
       "L 168.341147 188.065406 \r\n",
       "L 171.250291 188.492545 \r\n",
       "L 173.189721 188.57256 \r\n",
       "L 175.129151 188.41477 \r\n",
       "L 177.068581 187.952322 \r\n",
       "L 179.00801 187.162486 \r\n",
       "L 181.917155 185.538858 \r\n",
       "L 184.8263 183.950774 \r\n",
       "L 186.765729 183.277306 \r\n",
       "L 187.735444 183.12431 \r\n",
       "L 188.705159 183.11433 \r\n",
       "L 189.674874 183.25655 \r\n",
       "L 190.644589 183.554928 \r\n",
       "L 191.614304 184.008133 \r\n",
       "L 192.584018 184.609557 \r\n",
       "L 194.523448 186.205084 \r\n",
       "L 196.462878 188.191151 \r\n",
       "L 201.311452 193.458214 \r\n",
       "L 203.250882 195.177379 \r\n",
       "L 205.190312 196.54707 \r\n",
       "L 207.129741 197.600138 \r\n",
       "L 209.069171 198.402458 \r\n",
       "L 211.008601 199.012477 \r\n",
       "L 212.948031 199.460643 \r\n",
       "L 214.88746 199.742193 \r\n",
       "L 216.82689 199.815805 \r\n",
       "L 218.76632 199.60597 \r\n",
       "L 220.70575 199.012828 \r\n",
       "L 221.675464 198.540529 \r\n",
       "L 222.645179 197.93786 \r\n",
       "L 224.584609 196.329486 \r\n",
       "L 226.524039 194.229763 \r\n",
       "L 229.433183 190.494151 \r\n",
       "L 232.342328 186.681489 \r\n",
       "L 234.281758 184.4082 \r\n",
       "L 236.221187 182.489729 \r\n",
       "L 238.160617 180.971436 \r\n",
       "L 240.100047 179.831283 \r\n",
       "L 242.039477 178.985685 \r\n",
       "L 253.676055 174.86174 \r\n",
       "L 255.615485 174.599373 \r\n",
       "L 257.554914 174.737219 \r\n",
       "L 259.494344 175.312902 \r\n",
       "L 261.433774 176.302698 \r\n",
       "L 263.373204 177.622092 \r\n",
       "L 269.191493 182.050489 \r\n",
       "L 271.130923 183.192584 \r\n",
       "L 273.070352 184.089564 \r\n",
       "L 280.828071 187.188661 \r\n",
       "L 283.737216 188.778208 \r\n",
       "L 287.616075 190.937109 \r\n",
       "L 289.555505 191.702838 \r\n",
       "L 290.52522 191.930601 \r\n",
       "L 291.494935 192.030054 \r\n",
       "L 292.46465 191.988695 \r\n",
       "L 293.434365 191.800699 \r\n",
       "L 294.404079 191.467383 \r\n",
       "L 295.373794 190.996639 \r\n",
       "L 297.313224 189.698438 \r\n",
       "L 299.252654 188.039792 \r\n",
       "L 302.161798 185.164953 \r\n",
       "L 307.010373 179.993114 \r\n",
       "L 309.919517 176.682751 \r\n",
       "L 311.858947 174.25804 \r\n",
       "L 313.798377 171.558964 \r\n",
       "L 315.737806 168.548879 \r\n",
       "L 319.616666 161.928236 \r\n",
       "L 322.525811 157.158344 \r\n",
       "L 324.46524 154.421145 \r\n",
       "L 326.40467 152.169525 \r\n",
       "L 328.3441 150.42751 \r\n",
       "L 330.283529 149.135381 \r\n",
       "L 332.222959 148.153267 \r\n",
       "L 335.132104 146.804179 \r\n",
       "L 337.071533 145.655961 \r\n",
       "L 339.010963 144.113878 \r\n",
       "L 340.950393 142.132314 \r\n",
       "L 342.889823 139.763761 \r\n",
       "L 345.798967 135.697726 \r\n",
       "L 349.677827 129.727638 \r\n",
       "L 352.586971 124.936152 \r\n",
       "L 355.496116 119.702689 \r\n",
       "L 357.435546 115.819342 \r\n",
       "L 359.374975 111.553401 \r\n",
       "L 366.162979 95.758202 \r\n",
       "L 368.102409 92.203792 \r\n",
       "L 369.072124 90.76059 \r\n",
       "L 370.041839 89.568041 \r\n",
       "L 371.011554 88.637895 \r\n",
       "L 371.981269 87.973628 \r\n",
       "L 372.950984 87.569621 \r\n",
       "L 373.920698 87.410263 \r\n",
       "L 374.890413 87.469056 \r\n",
       "L 375.860128 87.707974 \r\n",
       "L 377.799558 88.519496 \r\n",
       "L 379.738988 89.370974 \r\n",
       "L 380.708702 89.675462 \r\n",
       "L 381.678417 89.858954 \r\n",
       "L 383.617847 89.872449 \r\n",
       "L 385.557277 89.570581 \r\n",
       "L 388.466421 89.050272 \r\n",
       "L 390.405851 88.945333 \r\n",
       "L 392.345281 89.190816 \r\n",
       "L 394.284711 89.868237 \r\n",
       "L 396.22414 91.020569 \r\n",
       "L 398.16357 92.657412 \r\n",
       "L 400.103 94.759096 \r\n",
       "L 402.04243 97.280808 \r\n",
       "L 403.981859 100.157301 \r\n",
       "L 406.891004 104.958842 \r\n",
       "L 415.618438 120.042334 \r\n",
       "L 417.557867 123.024095 \r\n",
       "L 417.557867 123.024095 \r\n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-dasharray:1,1.65;stroke-dashoffset:0;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_28\">\r\n",
       "    <path clip-path=\"url(#p2b65a10444)\" d=\"M 30.641636 150.31597 \r\n",
       "L 41.308499 146.156424 \r\n",
       "L 43.247929 145.140658 \r\n",
       "L 45.187359 143.945993 \r\n",
       "L 47.126789 142.547305 \r\n",
       "L 49.066218 140.936036 \r\n",
       "L 51.975363 138.156812 \r\n",
       "L 58.763367 131.197553 \r\n",
       "L 60.702797 129.6824 \r\n",
       "L 61.672512 129.121636 \r\n",
       "L 62.642226 128.727823 \r\n",
       "L 63.611941 128.52618 \r\n",
       "L 64.581656 128.538409 \r\n",
       "L 65.551371 128.780487 \r\n",
       "L 66.521086 129.26054 \r\n",
       "L 67.490801 129.977274 \r\n",
       "L 68.460516 130.91943 \r\n",
       "L 69.43023 132.066529 \r\n",
       "L 71.36966 134.859756 \r\n",
       "L 74.278805 139.798448 \r\n",
       "L 79.127379 148.249202 \r\n",
       "L 83.006239 154.44604 \r\n",
       "L 88.824528 163.562589 \r\n",
       "L 95.612532 174.492096 \r\n",
       "L 97.551962 177.188743 \r\n",
       "L 99.491391 179.505909 \r\n",
       "L 101.430821 181.406805 \r\n",
       "L 103.370251 182.910918 \r\n",
       "L 105.30968 184.087455 \r\n",
       "L 108.218825 185.463888 \r\n",
       "L 117.915974 189.45058 \r\n",
       "L 119.855403 190.052581 \r\n",
       "L 121.794833 190.48859 \r\n",
       "L 124.703978 190.8524 \r\n",
       "L 129.552552 191.271483 \r\n",
       "L 131.491982 191.6863 \r\n",
       "L 133.431412 192.390471 \r\n",
       "L 135.370841 193.429635 \r\n",
       "L 137.310271 194.796067 \r\n",
       "L 139.249701 196.43767 \r\n",
       "L 142.158845 199.249384 \r\n",
       "L 147.977135 205.358362 \r\n",
       "L 152.825709 210.68904 \r\n",
       "L 161.553143 220.539877 \r\n",
       "L 163.492572 222.19005 \r\n",
       "L 165.432002 223.385615 \r\n",
       "L 166.401717 223.789187 \r\n",
       "L 167.371432 224.057639 \r\n",
       "L 168.341147 224.191623 \r\n",
       "L 169.310862 224.195783 \r\n",
       "L 171.250291 223.852324 \r\n",
       "L 173.189721 223.135829 \r\n",
       "L 176.098866 221.690846 \r\n",
       "L 179.00801 220.274263 \r\n",
       "L 180.94744 219.551732 \r\n",
       "L 182.88687 219.082435 \r\n",
       "L 184.8263 218.880511 \r\n",
       "L 186.765729 218.932289 \r\n",
       "L 188.705159 219.215163 \r\n",
       "L 190.644589 219.712241 \r\n",
       "L 192.584018 220.420267 \r\n",
       "L 194.523448 221.350494 \r\n",
       "L 196.462878 222.522539 \r\n",
       "L 198.402308 223.951374 \r\n",
       "L 200.341737 225.629173 \r\n",
       "L 203.250882 228.492557 \r\n",
       "L 207.129741 232.328406 \r\n",
       "L 209.069171 233.897382 \r\n",
       "L 211.008601 235.033925 \r\n",
       "L 211.978316 235.40644 \r\n",
       "L 212.948031 235.637512 \r\n",
       "L 213.917745 235.723795 \r\n",
       "L 214.88746 235.665904 \r\n",
       "L 215.857175 235.468301 \r\n",
       "L 216.82689 235.139012 \r\n",
       "L 218.76632 234.13252 \r\n",
       "L 220.70575 232.761528 \r\n",
       "L 223.614894 230.302527 \r\n",
       "L 232.342328 222.340819 \r\n",
       "L 242.039477 213.302253 \r\n",
       "L 243.978906 211.888197 \r\n",
       "L 245.918336 210.802854 \r\n",
       "L 247.857766 210.094965 \r\n",
       "L 249.797196 209.764187 \r\n",
       "L 251.736625 209.761914 \r\n",
       "L 253.676055 210.00715 \r\n",
       "L 256.5852 210.645859 \r\n",
       "L 262.403489 212.245713 \r\n",
       "L 265.312633 213.247284 \r\n",
       "L 267.252063 214.102928 \r\n",
       "L 269.191493 215.162266 \r\n",
       "L 271.130923 216.431707 \r\n",
       "L 274.040067 218.626035 \r\n",
       "L 277.918927 221.589187 \r\n",
       "L 279.858356 222.848497 \r\n",
       "L 281.797786 223.856101 \r\n",
       "L 283.737216 224.581032 \r\n",
       "L 285.676646 225.03218 \r\n",
       "L 287.616075 225.250161 \r\n",
       "L 290.52522 225.260661 \r\n",
       "L 293.434365 225.002796 \r\n",
       "L 295.373794 224.665598 \r\n",
       "L 297.313224 224.122507 \r\n",
       "L 299.252654 223.281644 \r\n",
       "L 301.192083 222.053691 \r\n",
       "L 303.131513 220.376685 \r\n",
       "L 305.070943 218.233621 \r\n",
       "L 307.010373 215.660721 \r\n",
       "L 309.919517 211.199127 \r\n",
       "L 315.737806 201.79005 \r\n",
       "L 318.646951 197.604339 \r\n",
       "L 321.556096 193.911481 \r\n",
       "L 324.46524 190.595936 \r\n",
       "L 328.3441 186.546052 \r\n",
       "L 331.253244 183.749102 \r\n",
       "L 334.162389 181.230986 \r\n",
       "L 337.071533 179.03923 \r\n",
       "L 341.920108 175.640021 \r\n",
       "L 343.859538 174.001522 \r\n",
       "L 345.798967 171.974388 \r\n",
       "L 347.738397 169.441346 \r\n",
       "L 349.677827 166.345725 \r\n",
       "L 351.617256 162.705433 \r\n",
       "L 353.556686 158.614708 \r\n",
       "L 362.28412 139.348701 \r\n",
       "L 364.22355 135.80075 \r\n",
       "L 366.162979 132.659682 \r\n",
       "L 368.102409 129.919966 \r\n",
       "L 370.041839 127.581097 \r\n",
       "L 371.981269 125.670144 \r\n",
       "L 373.920698 124.257303 \r\n",
       "L 374.890413 123.773488 \r\n",
       "L 375.860128 123.463386 \r\n",
       "L 376.829843 123.348958 \r\n",
       "L 377.799558 123.453155 \r\n",
       "L 378.769273 123.798067 \r\n",
       "L 379.738988 124.402535 \r\n",
       "L 380.708702 125.279493 \r\n",
       "L 381.678417 126.433524 \r\n",
       "L 382.648132 127.85918 \r\n",
       "L 383.617847 129.540496 \r\n",
       "L 385.557277 133.559505 \r\n",
       "L 387.496707 138.204993 \r\n",
       "L 393.314996 152.634118 \r\n",
       "L 395.254425 156.699871 \r\n",
       "L 397.193855 160.094249 \r\n",
       "L 399.133285 162.736725 \r\n",
       "L 400.103 163.767441 \r\n",
       "L 401.072715 164.606725 \r\n",
       "L 402.04243 165.260009 \r\n",
       "L 403.012144 165.735341 \r\n",
       "L 403.981859 166.043043 \r\n",
       "L 404.951574 166.195363 \r\n",
       "L 405.921289 166.206118 \r\n",
       "L 407.860719 165.86396 \r\n",
       "L 409.800148 165.145287 \r\n",
       "L 412.709293 163.648586 \r\n",
       "L 417.557867 160.996867 \r\n",
       "L 417.557867 160.996867 \r\n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-dasharray:3.7,1.6;stroke-dashoffset:0;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_29\">\r\n",
       "    <path clip-path=\"url(#p2b65a10444)\" d=\"M 30.641636 103.407706 \r\n",
       "L 32.581066 99.528619 \r\n",
       "L 35.49021 93.060979 \r\n",
       "L 42.278214 77.37641 \r\n",
       "L 44.217644 73.531936 \r\n",
       "L 46.157074 70.302624 \r\n",
       "L 47.126789 68.968112 \r\n",
       "L 48.096503 67.842766 \r\n",
       "L 49.066218 66.940255 \r\n",
       "L 50.035933 66.271317 \r\n",
       "L 51.005648 65.843458 \r\n",
       "L 51.975363 65.660668 \r\n",
       "L 52.945078 65.723192 \r\n",
       "L 53.914793 66.027332 \r\n",
       "L 54.884507 66.565313 \r\n",
       "L 55.854222 67.325193 \r\n",
       "L 56.823937 68.290857 \r\n",
       "L 58.763367 70.754718 \r\n",
       "L 60.702797 73.75036 \r\n",
       "L 66.521086 83.408886 \r\n",
       "L 68.460516 86.202163 \r\n",
       "L 72.339375 91.194183 \r\n",
       "L 75.24852 95.104902 \r\n",
       "L 77.187949 98.06632 \r\n",
       "L 79.127379 101.366752 \r\n",
       "L 82.036524 106.841145 \r\n",
       "L 86.885098 116.265455 \r\n",
       "L 88.824528 119.704096 \r\n",
       "L 90.763957 122.810902 \r\n",
       "L 92.703387 125.582423 \r\n",
       "L 95.612532 129.235186 \r\n",
       "L 99.491391 133.55908 \r\n",
       "L 103.370251 137.530304 \r\n",
       "L 106.279395 140.142256 \r\n",
       "L 108.218825 141.578598 \r\n",
       "L 110.158255 142.698096 \r\n",
       "L 112.097685 143.480953 \r\n",
       "L 114.037114 143.9615 \r\n",
       "L 116.946259 144.306886 \r\n",
       "L 120.825118 144.652634 \r\n",
       "L 122.764548 144.982753 \r\n",
       "L 124.703978 145.475445 \r\n",
       "L 127.613122 146.493441 \r\n",
       "L 132.461697 148.549567 \r\n",
       "L 137.310271 150.733652 \r\n",
       "L 139.249701 151.795734 \r\n",
       "L 141.189131 153.098039 \r\n",
       "L 143.12856 154.714107 \r\n",
       "L 145.06799 156.678191 \r\n",
       "L 147.00742 158.973599 \r\n",
       "L 149.916564 162.872811 \r\n",
       "L 154.765139 169.508518 \r\n",
       "L 156.704568 171.811862 \r\n",
       "L 158.643998 173.776429 \r\n",
       "L 160.583428 175.376983 \r\n",
       "L 162.522858 176.629084 \r\n",
       "L 164.462287 177.570341 \r\n",
       "L 166.401717 178.241551 \r\n",
       "L 168.341147 178.673185 \r\n",
       "L 170.280577 178.878916 \r\n",
       "L 172.220006 178.856184 \r\n",
       "L 174.159436 178.593754 \r\n",
       "L 176.098866 178.085937 \r\n",
       "L 178.038295 177.351127 \r\n",
       "L 180.94744 175.965597 \r\n",
       "L 183.856585 174.599785 \r\n",
       "L 185.796014 173.951675 \r\n",
       "L 187.735444 173.678654 \r\n",
       "L 188.705159 173.715506 \r\n",
       "L 189.674874 173.878535 \r\n",
       "L 190.644589 174.170785 \r\n",
       "L 191.614304 174.591184 \r\n",
       "L 193.553733 175.791963 \r\n",
       "L 195.493163 177.395379 \r\n",
       "L 198.402308 180.258111 \r\n",
       "L 202.281167 184.124284 \r\n",
       "L 204.220597 185.801389 \r\n",
       "L 206.160027 187.221755 \r\n",
       "L 208.099456 188.36998 \r\n",
       "L 210.038886 189.250597 \r\n",
       "L 211.978316 189.870244 \r\n",
       "L 213.917745 190.224888 \r\n",
       "L 215.857175 190.293778 \r\n",
       "L 217.796605 190.040268 \r\n",
       "L 219.736035 189.419634 \r\n",
       "L 221.675464 188.393709 \r\n",
       "L 223.614894 186.950067 \r\n",
       "L 225.554324 185.119603 \r\n",
       "L 227.493754 182.983882 \r\n",
       "L 234.281758 175.009111 \r\n",
       "L 236.221187 173.103742 \r\n",
       "L 238.160617 171.493213 \r\n",
       "L 240.100047 170.172778 \r\n",
       "L 242.039477 169.098175 \r\n",
       "L 244.948621 167.800457 \r\n",
       "L 248.827481 166.379228 \r\n",
       "L 251.736625 165.547285 \r\n",
       "L 253.676055 165.20741 \r\n",
       "L 255.615485 165.124403 \r\n",
       "L 257.554914 165.353076 \r\n",
       "L 259.494344 165.914077 \r\n",
       "L 261.433774 166.786344 \r\n",
       "L 263.373204 167.908151 \r\n",
       "L 268.221778 171.17029 \r\n",
       "L 271.130923 172.984571 \r\n",
       "L 274.040067 174.536653 \r\n",
       "L 287.616075 181.048586 \r\n",
       "L 289.555505 181.600843 \r\n",
       "L 291.494935 181.801488 \r\n",
       "L 293.434365 181.581302 \r\n",
       "L 295.373794 180.918947 \r\n",
       "L 297.313224 179.841805 \r\n",
       "L 299.252654 178.411881 \r\n",
       "L 301.192083 176.704232 \r\n",
       "L 304.101228 173.76466 \r\n",
       "L 307.010373 170.480129 \r\n",
       "L 309.919517 166.852477 \r\n",
       "L 312.828662 162.81036 \r\n",
       "L 315.737806 158.341495 \r\n",
       "L 322.525811 147.630908 \r\n",
       "L 324.46524 145.041536 \r\n",
       "L 326.40467 142.83711 \r\n",
       "L 328.3441 141.033293 \r\n",
       "L 330.283529 139.582729 \r\n",
       "L 333.192674 137.829115 \r\n",
       "L 336.101819 136.132581 \r\n",
       "L 338.041248 134.788901 \r\n",
       "L 339.980678 133.157536 \r\n",
       "L 341.920108 131.19815 \r\n",
       "L 343.859538 128.916541 \r\n",
       "L 345.798967 126.344456 \r\n",
       "L 348.708112 122.017741 \r\n",
       "L 351.617256 117.179958 \r\n",
       "L 354.526401 111.8016 \r\n",
       "L 357.435546 105.820956 \r\n",
       "L 361.314405 97.078441 \r\n",
       "L 364.22355 90.522644 \r\n",
       "L 366.162979 86.563302 \r\n",
       "L 368.102409 83.207508 \r\n",
       "L 369.072124 81.817145 \r\n",
       "L 370.041839 80.642018 \r\n",
       "L 371.011554 79.692561 \r\n",
       "L 371.981269 78.972653 \r\n",
       "L 372.950984 78.479173 \r\n",
       "L 373.920698 78.201778 \r\n",
       "L 374.890413 78.122941 \r\n",
       "L 375.860128 78.21835 \r\n",
       "L 377.799558 78.806645 \r\n",
       "L 383.617847 81.318829 \r\n",
       "L 385.557277 81.857153 \r\n",
       "L 390.405851 82.957919 \r\n",
       "L 392.345281 83.646764 \r\n",
       "L 394.284711 84.638106 \r\n",
       "L 396.22414 85.991358 \r\n",
       "L 398.16357 87.729563 \r\n",
       "L 400.103 89.842221 \r\n",
       "L 402.04243 92.289496 \r\n",
       "L 404.951574 96.442671 \r\n",
       "L 413.679008 109.512536 \r\n",
       "L 415.618438 111.957214 \r\n",
       "L 417.557867 114.088603 \r\n",
       "L 417.557867 114.088603 \r\n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-dasharray:3.7,1.6;stroke-dashoffset:0;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_30\">\r\n",
       "    <path clip-path=\"url(#p2b65a10444)\" d=\"M 30.641636 46.423252 \r\n",
       "L 37.42964 57.451196 \r\n",
       "L 44.217644 68.085286 \r\n",
       "L 51.005648 78.32552 \r\n",
       "L 57.793652 88.171898 \r\n",
       "L 64.581656 97.624422 \r\n",
       "L 71.36966 106.683091 \r\n",
       "L 78.157664 115.347904 \r\n",
       "L 84.945668 123.618863 \r\n",
       "L 91.733672 131.495966 \r\n",
       "L 97.551962 137.934292 \r\n",
       "L 103.370251 144.083255 \r\n",
       "L 109.18854 149.942855 \r\n",
       "L 115.006829 155.513092 \r\n",
       "L 120.825118 160.793967 \r\n",
       "L 126.643408 165.785478 \r\n",
       "L 132.461697 170.487626 \r\n",
       "L 138.279986 174.900411 \r\n",
       "L 144.098275 179.023834 \r\n",
       "L 149.916564 182.857893 \r\n",
       "L 155.734854 186.40259 \r\n",
       "L 161.553143 189.657923 \r\n",
       "L 167.371432 192.623893 \r\n",
       "L 173.189721 195.300501 \r\n",
       "L 179.00801 197.687745 \r\n",
       "L 183.856585 199.456075 \r\n",
       "L 188.705159 201.023457 \r\n",
       "L 193.553733 202.389894 \r\n",
       "L 198.402308 203.555383 \r\n",
       "L 203.250882 204.519927 \r\n",
       "L 208.099456 205.283523 \r\n",
       "L 212.948031 205.846174 \r\n",
       "L 217.796605 206.207877 \r\n",
       "L 222.645179 206.368635 \r\n",
       "L 227.493754 206.328445 \r\n",
       "L 232.342328 206.087309 \r\n",
       "L 237.190902 205.645227 \r\n",
       "L 242.039477 205.002198 \r\n",
       "L 246.888051 204.158223 \r\n",
       "L 251.736625 203.113301 \r\n",
       "L 256.5852 201.867433 \r\n",
       "L 261.433774 200.420618 \r\n",
       "L 266.282348 198.772857 \r\n",
       "L 271.130923 196.924149 \r\n",
       "L 275.979497 194.874494 \r\n",
       "L 281.797786 192.14966 \r\n",
       "L 287.616075 189.135462 \r\n",
       "L 293.434365 185.831901 \r\n",
       "L 299.252654 182.238978 \r\n",
       "L 305.070943 178.356691 \r\n",
       "L 310.889232 174.185042 \r\n",
       "L 316.707521 169.724029 \r\n",
       "L 322.525811 164.973654 \r\n",
       "L 328.3441 159.933915 \r\n",
       "L 334.162389 154.604814 \r\n",
       "L 339.980678 148.98635 \r\n",
       "L 345.798967 143.078522 \r\n",
       "L 351.617256 136.881332 \r\n",
       "L 357.435546 130.394779 \r\n",
       "L 364.22355 122.461411 \r\n",
       "L 371.011554 114.134187 \r\n",
       "L 377.799558 105.413109 \r\n",
       "L 384.587562 96.298175 \r\n",
       "L 391.375566 86.789387 \r\n",
       "L 398.16357 76.886743 \r\n",
       "L 404.951574 66.590244 \r\n",
       "L 411.739578 55.899889 \r\n",
       "L 417.557867 46.423252 \r\n",
       "L 417.557867 46.423252 \r\n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-opacity:0.85;stroke-width:1.4;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"PathCollection_1\">\r\n",
       "    <defs>\r\n",
       "     <path d=\"M 0 2 \r\n",
       "C 0.530406 2 1.03916 1.789267 1.414214 1.414214 \r\n",
       "C 1.789267 1.03916 2 0.530406 2 0 \r\n",
       "C 2 -0.530406 1.789267 -1.03916 1.414214 -1.414214 \r\n",
       "C 1.03916 -1.789267 0.530406 -2 0 -2 \r\n",
       "C -0.530406 -2 -1.03916 -1.789267 -1.414214 -1.414214 \r\n",
       "C -1.789267 -1.03916 -2 -0.530406 -2 0 \r\n",
       "C -2 0.530406 -1.789267 1.03916 -1.414214 1.414214 \r\n",
       "C -1.03916 1.789267 -0.530406 2 0 2 \r\n",
       "z\r\n",
       "\" id=\"m619fdbe81c\" style=\"stroke:#0000ff;stroke-opacity:0.5;\"/>\r\n",
       "    </defs>\r\n",
       "    <g clip-path=\"url(#p2b65a10444)\">\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"62.884655\" xlink:href=\"#m619fdbe81c\" y=\"107.312362\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"73.285629\" xlink:href=\"#m619fdbe81c\" y=\"104.139774\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"83.686603\" xlink:href=\"#m619fdbe81c\" y=\"141.196099\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"94.087577\" xlink:href=\"#m619fdbe81c\" y=\"155.818724\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"104.488551\" xlink:href=\"#m619fdbe81c\" y=\"143.692413\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"114.889525\" xlink:href=\"#m619fdbe81c\" y=\"182.213909\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"125.290499\" xlink:href=\"#m619fdbe81c\" y=\"161.60468\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"135.691473\" xlink:href=\"#m619fdbe81c\" y=\"170.924577\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"146.092447\" xlink:href=\"#m619fdbe81c\" y=\"181.761871\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"156.493421\" xlink:href=\"#m619fdbe81c\" y=\"194.816313\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"166.894395\" xlink:href=\"#m619fdbe81c\" y=\"199.838993\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"177.295369\" xlink:href=\"#m619fdbe81c\" y=\"199.544482\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"187.696343\" xlink:href=\"#m619fdbe81c\" y=\"195.472754\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"198.097317\" xlink:href=\"#m619fdbe81c\" y=\"201.966086\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"208.498291\" xlink:href=\"#m619fdbe81c\" y=\"213.995192\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"218.899265\" xlink:href=\"#m619fdbe81c\" y=\"208.566081\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"229.300239\" xlink:href=\"#m619fdbe81c\" y=\"203.590159\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"239.701213\" xlink:href=\"#m619fdbe81c\" y=\"192.421744\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"250.102187\" xlink:href=\"#m619fdbe81c\" y=\"190.452324\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"260.50316\" xlink:href=\"#m619fdbe81c\" y=\"186.917445\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"270.904134\" xlink:href=\"#m619fdbe81c\" y=\"194.883682\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"281.305108\" xlink:href=\"#m619fdbe81c\" y=\"199.759702\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"291.706082\" xlink:href=\"#m619fdbe81c\" y=\"204.927795\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"302.107056\" xlink:href=\"#m619fdbe81c\" y=\"201.181026\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"312.50803\" xlink:href=\"#m619fdbe81c\" y=\"176.852848\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"322.909004\" xlink:href=\"#m619fdbe81c\" y=\"179.938271\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"333.309978\" xlink:href=\"#m619fdbe81c\" y=\"153.470829\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"343.710952\" xlink:href=\"#m619fdbe81c\" y=\"150.892801\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"354.111926\" xlink:href=\"#m619fdbe81c\" y=\"140.831134\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"364.5129\" xlink:href=\"#m619fdbe81c\" y=\"106.171449\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"374.913874\" xlink:href=\"#m619fdbe81c\" y=\"104.862532\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"385.314848\" xlink:href=\"#m619fdbe81c\" y=\"106.265855\"/>\r\n",
       "    </g>\r\n",
       "   </g>\r\n",
       "   <g id=\"legend_1\">\r\n",
       "    <g id=\"patch_5\">\r\n",
       "     <path d=\"M 23.034149 269.025354 \r\n",
       "L 122.612899 269.025354 \r\n",
       "L 122.612899 201.512854 \r\n",
       "L 23.034149 201.512854 \r\n",
       "z\r\n",
       "\" style=\"fill:#ffffff;stroke:#000000;stroke-linejoin:miter;\"/>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_31\">\r\n",
       "     <path d=\"M 29.434149 211.191604 \r\n",
       "L 45.434149 211.191604 \r\n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linejoin:miter;\"/>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_32\"/>\r\n",
       "    <g id=\"text_13\">\r\n",
       "     <!-- fitting curve -->\r\n",
       "     <defs>\r\n",
       "      <path d=\"M 37.109375 75.984375 \r\n",
       "L 37.109375 68.5 \r\n",
       "L 28.515625 68.5 \r\n",
       "Q 23.6875 68.5 21.796875 66.546875 \r\n",
       "Q 19.921875 64.59375 19.921875 59.515625 \r\n",
       "L 19.921875 54.6875 \r\n",
       "L 34.71875 54.6875 \r\n",
       "L 34.71875 47.703125 \r\n",
       "L 19.921875 47.703125 \r\n",
       "L 19.921875 0 \r\n",
       "L 10.890625 0 \r\n",
       "L 10.890625 47.703125 \r\n",
       "L 2.296875 47.703125 \r\n",
       "L 2.296875 54.6875 \r\n",
       "L 10.890625 54.6875 \r\n",
       "L 10.890625 58.5 \r\n",
       "Q 10.890625 67.625 15.140625 71.796875 \r\n",
       "Q 19.390625 75.984375 28.609375 75.984375 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-102\"/>\r\n",
       "      <path d=\"M 9.421875 54.6875 \r\n",
       "L 18.40625 54.6875 \r\n",
       "L 18.40625 0 \r\n",
       "L 9.421875 0 \r\n",
       "z\r\n",
       "M 9.421875 75.984375 \r\n",
       "L 18.40625 75.984375 \r\n",
       "L 18.40625 64.59375 \r\n",
       "L 9.421875 64.59375 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-105\"/>\r\n",
       "      <path d=\"M 18.3125 70.21875 \r\n",
       "L 18.3125 54.6875 \r\n",
       "L 36.8125 54.6875 \r\n",
       "L 36.8125 47.703125 \r\n",
       "L 18.3125 47.703125 \r\n",
       "L 18.3125 18.015625 \r\n",
       "Q 18.3125 11.328125 20.140625 9.421875 \r\n",
       "Q 21.96875 7.515625 27.59375 7.515625 \r\n",
       "L 36.8125 7.515625 \r\n",
       "L 36.8125 0 \r\n",
       "L 27.59375 0 \r\n",
       "Q 17.1875 0 13.234375 3.875 \r\n",
       "Q 9.28125 7.765625 9.28125 18.015625 \r\n",
       "L 9.28125 47.703125 \r\n",
       "L 2.6875 47.703125 \r\n",
       "L 2.6875 54.6875 \r\n",
       "L 9.28125 54.6875 \r\n",
       "L 9.28125 70.21875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-116\"/>\r\n",
       "      <path d=\"M 54.890625 33.015625 \r\n",
       "L 54.890625 0 \r\n",
       "L 45.90625 0 \r\n",
       "L 45.90625 32.71875 \r\n",
       "Q 45.90625 40.484375 42.875 44.328125 \r\n",
       "Q 39.84375 48.1875 33.796875 48.1875 \r\n",
       "Q 26.515625 48.1875 22.3125 43.546875 \r\n",
       "Q 18.109375 38.921875 18.109375 30.90625 \r\n",
       "L 18.109375 0 \r\n",
       "L 9.078125 0 \r\n",
       "L 9.078125 54.6875 \r\n",
       "L 18.109375 54.6875 \r\n",
       "L 18.109375 46.1875 \r\n",
       "Q 21.34375 51.125 25.703125 53.5625 \r\n",
       "Q 30.078125 56 35.796875 56 \r\n",
       "Q 45.21875 56 50.046875 50.171875 \r\n",
       "Q 54.890625 44.34375 54.890625 33.015625 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-110\"/>\r\n",
       "      <path d=\"M 45.40625 27.984375 \r\n",
       "Q 45.40625 37.75 41.375 43.109375 \r\n",
       "Q 37.359375 48.484375 30.078125 48.484375 \r\n",
       "Q 22.859375 48.484375 18.828125 43.109375 \r\n",
       "Q 14.796875 37.75 14.796875 27.984375 \r\n",
       "Q 14.796875 18.265625 18.828125 12.890625 \r\n",
       "Q 22.859375 7.515625 30.078125 7.515625 \r\n",
       "Q 37.359375 7.515625 41.375 12.890625 \r\n",
       "Q 45.40625 18.265625 45.40625 27.984375 \r\n",
       "z\r\n",
       "M 54.390625 6.78125 \r\n",
       "Q 54.390625 -7.171875 48.1875 -13.984375 \r\n",
       "Q 42 -20.796875 29.203125 -20.796875 \r\n",
       "Q 24.46875 -20.796875 20.265625 -20.09375 \r\n",
       "Q 16.0625 -19.390625 12.109375 -17.921875 \r\n",
       "L 12.109375 -9.1875 \r\n",
       "Q 16.0625 -11.328125 19.921875 -12.34375 \r\n",
       "Q 23.78125 -13.375 27.78125 -13.375 \r\n",
       "Q 36.625 -13.375 41.015625 -8.765625 \r\n",
       "Q 45.40625 -4.15625 45.40625 5.171875 \r\n",
       "L 45.40625 9.625 \r\n",
       "Q 42.625 4.78125 38.28125 2.390625 \r\n",
       "Q 33.9375 0 27.875 0 \r\n",
       "Q 17.828125 0 11.671875 7.65625 \r\n",
       "Q 5.515625 15.328125 5.515625 27.984375 \r\n",
       "Q 5.515625 40.671875 11.671875 48.328125 \r\n",
       "Q 17.828125 56 27.875 56 \r\n",
       "Q 33.9375 56 38.28125 53.609375 \r\n",
       "Q 42.625 51.21875 45.40625 46.390625 \r\n",
       "L 45.40625 54.6875 \r\n",
       "L 54.390625 54.6875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-103\"/>\r\n",
       "      <path id=\"DejaVuSans-32\"/>\r\n",
       "      <path d=\"M 48.78125 52.59375 \r\n",
       "L 48.78125 44.1875 \r\n",
       "Q 44.96875 46.296875 41.140625 47.34375 \r\n",
       "Q 37.3125 48.390625 33.40625 48.390625 \r\n",
       "Q 24.65625 48.390625 19.8125 42.84375 \r\n",
       "Q 14.984375 37.3125 14.984375 27.296875 \r\n",
       "Q 14.984375 17.28125 19.8125 11.734375 \r\n",
       "Q 24.65625 6.203125 33.40625 6.203125 \r\n",
       "Q 37.3125 6.203125 41.140625 7.25 \r\n",
       "Q 44.96875 8.296875 48.78125 10.40625 \r\n",
       "L 48.78125 2.09375 \r\n",
       "Q 45.015625 0.34375 40.984375 -0.53125 \r\n",
       "Q 36.96875 -1.421875 32.421875 -1.421875 \r\n",
       "Q 20.0625 -1.421875 12.78125 6.34375 \r\n",
       "Q 5.515625 14.109375 5.515625 27.296875 \r\n",
       "Q 5.515625 40.671875 12.859375 48.328125 \r\n",
       "Q 20.21875 56 33.015625 56 \r\n",
       "Q 37.15625 56 41.109375 55.140625 \r\n",
       "Q 45.0625 54.296875 48.78125 52.59375 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-99\"/>\r\n",
       "      <path d=\"M 8.5 21.578125 \r\n",
       "L 8.5 54.6875 \r\n",
       "L 17.484375 54.6875 \r\n",
       "L 17.484375 21.921875 \r\n",
       "Q 17.484375 14.15625 20.5 10.265625 \r\n",
       "Q 23.53125 6.390625 29.59375 6.390625 \r\n",
       "Q 36.859375 6.390625 41.078125 11.03125 \r\n",
       "Q 45.3125 15.671875 45.3125 23.6875 \r\n",
       "L 45.3125 54.6875 \r\n",
       "L 54.296875 54.6875 \r\n",
       "L 54.296875 0 \r\n",
       "L 45.3125 0 \r\n",
       "L 45.3125 8.40625 \r\n",
       "Q 42.046875 3.421875 37.71875 1 \r\n",
       "Q 33.40625 -1.421875 27.6875 -1.421875 \r\n",
       "Q 18.265625 -1.421875 13.375 4.4375 \r\n",
       "Q 8.5 10.296875 8.5 21.578125 \r\n",
       "z\r\n",
       "M 31.109375 56 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-117\"/>\r\n",
       "      <path d=\"M 41.109375 46.296875 \r\n",
       "Q 39.59375 47.171875 37.8125 47.578125 \r\n",
       "Q 36.03125 48 33.890625 48 \r\n",
       "Q 26.265625 48 22.1875 43.046875 \r\n",
       "Q 18.109375 38.09375 18.109375 28.8125 \r\n",
       "L 18.109375 0 \r\n",
       "L 9.078125 0 \r\n",
       "L 9.078125 54.6875 \r\n",
       "L 18.109375 54.6875 \r\n",
       "L 18.109375 46.1875 \r\n",
       "Q 20.953125 51.171875 25.484375 53.578125 \r\n",
       "Q 30.03125 56 36.53125 56 \r\n",
       "Q 37.453125 56 38.578125 55.875 \r\n",
       "Q 39.703125 55.765625 41.0625 55.515625 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-114\"/>\r\n",
       "      <path d=\"M 2.984375 54.6875 \r\n",
       "L 12.5 54.6875 \r\n",
       "L 29.59375 8.796875 \r\n",
       "L 46.6875 54.6875 \r\n",
       "L 56.203125 54.6875 \r\n",
       "L 35.6875 0 \r\n",
       "L 23.484375 0 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-118\"/>\r\n",
       "      <path d=\"M 56.203125 29.59375 \r\n",
       "L 56.203125 25.203125 \r\n",
       "L 14.890625 25.203125 \r\n",
       "Q 15.484375 15.921875 20.484375 11.0625 \r\n",
       "Q 25.484375 6.203125 34.421875 6.203125 \r\n",
       "Q 39.59375 6.203125 44.453125 7.46875 \r\n",
       "Q 49.3125 8.734375 54.109375 11.28125 \r\n",
       "L 54.109375 2.78125 \r\n",
       "Q 49.265625 0.734375 44.1875 -0.34375 \r\n",
       "Q 39.109375 -1.421875 33.890625 -1.421875 \r\n",
       "Q 20.796875 -1.421875 13.15625 6.1875 \r\n",
       "Q 5.515625 13.8125 5.515625 26.8125 \r\n",
       "Q 5.515625 40.234375 12.765625 48.109375 \r\n",
       "Q 20.015625 56 32.328125 56 \r\n",
       "Q 43.359375 56 49.78125 48.890625 \r\n",
       "Q 56.203125 41.796875 56.203125 29.59375 \r\n",
       "z\r\n",
       "M 47.21875 32.234375 \r\n",
       "Q 47.125 39.59375 43.09375 43.984375 \r\n",
       "Q 39.0625 48.390625 32.421875 48.390625 \r\n",
       "Q 24.90625 48.390625 20.390625 44.140625 \r\n",
       "Q 15.875 39.890625 15.1875 32.171875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-101\"/>\r\n",
       "     </defs>\r\n",
       "     <g transform=\"translate(51.834149 213.991604)scale(0.08 -0.08)\">\r\n",
       "      <use xlink:href=\"#DejaVuSans-102\"/>\r\n",
       "      <use x=\"35.205078\" xlink:href=\"#DejaVuSans-105\"/>\r\n",
       "      <use x=\"62.988281\" xlink:href=\"#DejaVuSans-116\"/>\r\n",
       "      <use x=\"102.197266\" xlink:href=\"#DejaVuSans-116\"/>\r\n",
       "      <use x=\"141.40625\" xlink:href=\"#DejaVuSans-105\"/>\r\n",
       "      <use x=\"169.189453\" xlink:href=\"#DejaVuSans-110\"/>\r\n",
       "      <use x=\"232.568359\" xlink:href=\"#DejaVuSans-103\"/>\r\n",
       "      <use x=\"296.044922\" xlink:href=\"#DejaVuSans-32\"/>\r\n",
       "      <use x=\"327.832031\" xlink:href=\"#DejaVuSans-99\"/>\r\n",
       "      <use x=\"382.8125\" xlink:href=\"#DejaVuSans-117\"/>\r\n",
       "      <use x=\"446.191406\" xlink:href=\"#DejaVuSans-114\"/>\r\n",
       "      <use x=\"487.304688\" xlink:href=\"#DejaVuSans-118\"/>\r\n",
       "      <use x=\"546.484375\" xlink:href=\"#DejaVuSans-101\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_33\">\r\n",
       "     <path d=\"M 29.434149 222.934104 \r\n",
       "L 45.434149 222.934104 \r\n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-dasharray:1,1.65;stroke-dashoffset:0;stroke-linejoin:miter;\"/>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_34\"/>\r\n",
       "    <g id=\"text_14\">\r\n",
       "     <!-- 95.0% conf. int. -->\r\n",
       "     <defs>\r\n",
       "      <path d=\"M 10.984375 1.515625 \r\n",
       "L 10.984375 10.5 \r\n",
       "Q 14.703125 8.734375 18.5 7.8125 \r\n",
       "Q 22.3125 6.890625 25.984375 6.890625 \r\n",
       "Q 35.75 6.890625 40.890625 13.453125 \r\n",
       "Q 46.046875 20.015625 46.78125 33.40625 \r\n",
       "Q 43.953125 29.203125 39.59375 26.953125 \r\n",
       "Q 35.25 24.703125 29.984375 24.703125 \r\n",
       "Q 19.046875 24.703125 12.671875 31.3125 \r\n",
       "Q 6.296875 37.9375 6.296875 49.421875 \r\n",
       "Q 6.296875 60.640625 12.9375 67.421875 \r\n",
       "Q 19.578125 74.21875 30.609375 74.21875 \r\n",
       "Q 43.265625 74.21875 49.921875 64.515625 \r\n",
       "Q 56.59375 54.828125 56.59375 36.375 \r\n",
       "Q 56.59375 19.140625 48.40625 8.859375 \r\n",
       "Q 40.234375 -1.421875 26.421875 -1.421875 \r\n",
       "Q 22.703125 -1.421875 18.890625 -0.6875 \r\n",
       "Q 15.09375 0.046875 10.984375 1.515625 \r\n",
       "z\r\n",
       "M 30.609375 32.421875 \r\n",
       "Q 37.25 32.421875 41.125 36.953125 \r\n",
       "Q 45.015625 41.5 45.015625 49.421875 \r\n",
       "Q 45.015625 57.28125 41.125 61.84375 \r\n",
       "Q 37.25 66.40625 30.609375 66.40625 \r\n",
       "Q 23.96875 66.40625 20.09375 61.84375 \r\n",
       "Q 16.21875 57.28125 16.21875 49.421875 \r\n",
       "Q 16.21875 41.5 20.09375 36.953125 \r\n",
       "Q 23.96875 32.421875 30.609375 32.421875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-57\"/>\r\n",
       "      <path d=\"M 72.703125 32.078125 \r\n",
       "Q 68.453125 32.078125 66.03125 28.46875 \r\n",
       "Q 63.625 24.859375 63.625 18.40625 \r\n",
       "Q 63.625 12.0625 66.03125 8.421875 \r\n",
       "Q 68.453125 4.78125 72.703125 4.78125 \r\n",
       "Q 76.859375 4.78125 79.265625 8.421875 \r\n",
       "Q 81.6875 12.0625 81.6875 18.40625 \r\n",
       "Q 81.6875 24.8125 79.265625 28.4375 \r\n",
       "Q 76.859375 32.078125 72.703125 32.078125 \r\n",
       "z\r\n",
       "M 72.703125 38.28125 \r\n",
       "Q 80.421875 38.28125 84.953125 32.90625 \r\n",
       "Q 89.5 27.546875 89.5 18.40625 \r\n",
       "Q 89.5 9.28125 84.9375 3.921875 \r\n",
       "Q 80.375 -1.421875 72.703125 -1.421875 \r\n",
       "Q 64.890625 -1.421875 60.34375 3.921875 \r\n",
       "Q 55.8125 9.28125 55.8125 18.40625 \r\n",
       "Q 55.8125 27.59375 60.375 32.9375 \r\n",
       "Q 64.9375 38.28125 72.703125 38.28125 \r\n",
       "z\r\n",
       "M 22.3125 68.015625 \r\n",
       "Q 18.109375 68.015625 15.6875 64.375 \r\n",
       "Q 13.28125 60.75 13.28125 54.390625 \r\n",
       "Q 13.28125 47.953125 15.671875 44.328125 \r\n",
       "Q 18.0625 40.71875 22.3125 40.71875 \r\n",
       "Q 26.5625 40.71875 28.96875 44.328125 \r\n",
       "Q 31.390625 47.953125 31.390625 54.390625 \r\n",
       "Q 31.390625 60.6875 28.953125 64.34375 \r\n",
       "Q 26.515625 68.015625 22.3125 68.015625 \r\n",
       "z\r\n",
       "M 66.40625 74.21875 \r\n",
       "L 74.21875 74.21875 \r\n",
       "L 28.609375 -1.421875 \r\n",
       "L 20.796875 -1.421875 \r\n",
       "z\r\n",
       "M 22.3125 74.21875 \r\n",
       "Q 30.03125 74.21875 34.609375 68.875 \r\n",
       "Q 39.203125 63.53125 39.203125 54.390625 \r\n",
       "Q 39.203125 45.171875 34.640625 39.84375 \r\n",
       "Q 30.078125 34.515625 22.3125 34.515625 \r\n",
       "Q 14.546875 34.515625 10.03125 39.859375 \r\n",
       "Q 5.515625 45.21875 5.515625 54.390625 \r\n",
       "Q 5.515625 63.484375 10.046875 68.84375 \r\n",
       "Q 14.59375 74.21875 22.3125 74.21875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-37\"/>\r\n",
       "      <path d=\"M 30.609375 48.390625 \r\n",
       "Q 23.390625 48.390625 19.1875 42.75 \r\n",
       "Q 14.984375 37.109375 14.984375 27.296875 \r\n",
       "Q 14.984375 17.484375 19.15625 11.84375 \r\n",
       "Q 23.34375 6.203125 30.609375 6.203125 \r\n",
       "Q 37.796875 6.203125 41.984375 11.859375 \r\n",
       "Q 46.1875 17.53125 46.1875 27.296875 \r\n",
       "Q 46.1875 37.015625 41.984375 42.703125 \r\n",
       "Q 37.796875 48.390625 30.609375 48.390625 \r\n",
       "z\r\n",
       "M 30.609375 56 \r\n",
       "Q 42.328125 56 49.015625 48.375 \r\n",
       "Q 55.71875 40.765625 55.71875 27.296875 \r\n",
       "Q 55.71875 13.875 49.015625 6.21875 \r\n",
       "Q 42.328125 -1.421875 30.609375 -1.421875 \r\n",
       "Q 18.84375 -1.421875 12.171875 6.21875 \r\n",
       "Q 5.515625 13.875 5.515625 27.296875 \r\n",
       "Q 5.515625 40.765625 12.171875 48.375 \r\n",
       "Q 18.84375 56 30.609375 56 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-111\"/>\r\n",
       "     </defs>\r\n",
       "     <g transform=\"translate(51.834149 225.734104)scale(0.08 -0.08)\">\r\n",
       "      <use xlink:href=\"#DejaVuSans-57\"/>\r\n",
       "      <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\r\n",
       "      <use x=\"127.246094\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "      <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\r\n",
       "      <use x=\"222.65625\" xlink:href=\"#DejaVuSans-37\"/>\r\n",
       "      <use x=\"317.675781\" xlink:href=\"#DejaVuSans-32\"/>\r\n",
       "      <use x=\"349.462891\" xlink:href=\"#DejaVuSans-99\"/>\r\n",
       "      <use x=\"404.443359\" xlink:href=\"#DejaVuSans-111\"/>\r\n",
       "      <use x=\"465.625\" xlink:href=\"#DejaVuSans-110\"/>\r\n",
       "      <use x=\"529.003906\" xlink:href=\"#DejaVuSans-102\"/>\r\n",
       "      <use x=\"564.099609\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "      <use x=\"595.886719\" xlink:href=\"#DejaVuSans-32\"/>\r\n",
       "      <use x=\"627.673828\" xlink:href=\"#DejaVuSans-105\"/>\r\n",
       "      <use x=\"655.457031\" xlink:href=\"#DejaVuSans-110\"/>\r\n",
       "      <use x=\"718.835938\" xlink:href=\"#DejaVuSans-116\"/>\r\n",
       "      <use x=\"758.044922\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_35\">\r\n",
       "     <path d=\"M 29.434149 234.676604 \r\n",
       "L 45.434149 234.676604 \r\n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-dasharray:3.7,1.6;stroke-dashoffset:0;stroke-linejoin:miter;\"/>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_36\"/>\r\n",
       "    <g id=\"text_15\">\r\n",
       "     <!-- 95.0% pred. int. -->\r\n",
       "     <defs>\r\n",
       "      <path d=\"M 18.109375 8.203125 \r\n",
       "L 18.109375 -20.796875 \r\n",
       "L 9.078125 -20.796875 \r\n",
       "L 9.078125 54.6875 \r\n",
       "L 18.109375 54.6875 \r\n",
       "L 18.109375 46.390625 \r\n",
       "Q 20.953125 51.265625 25.265625 53.625 \r\n",
       "Q 29.59375 56 35.59375 56 \r\n",
       "Q 45.5625 56 51.78125 48.09375 \r\n",
       "Q 58.015625 40.1875 58.015625 27.296875 \r\n",
       "Q 58.015625 14.40625 51.78125 6.484375 \r\n",
       "Q 45.5625 -1.421875 35.59375 -1.421875 \r\n",
       "Q 29.59375 -1.421875 25.265625 0.953125 \r\n",
       "Q 20.953125 3.328125 18.109375 8.203125 \r\n",
       "z\r\n",
       "M 48.6875 27.296875 \r\n",
       "Q 48.6875 37.203125 44.609375 42.84375 \r\n",
       "Q 40.53125 48.484375 33.40625 48.484375 \r\n",
       "Q 26.265625 48.484375 22.1875 42.84375 \r\n",
       "Q 18.109375 37.203125 18.109375 27.296875 \r\n",
       "Q 18.109375 17.390625 22.1875 11.75 \r\n",
       "Q 26.265625 6.109375 33.40625 6.109375 \r\n",
       "Q 40.53125 6.109375 44.609375 11.75 \r\n",
       "Q 48.6875 17.390625 48.6875 27.296875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-112\"/>\r\n",
       "      <path d=\"M 45.40625 46.390625 \r\n",
       "L 45.40625 75.984375 \r\n",
       "L 54.390625 75.984375 \r\n",
       "L 54.390625 0 \r\n",
       "L 45.40625 0 \r\n",
       "L 45.40625 8.203125 \r\n",
       "Q 42.578125 3.328125 38.25 0.953125 \r\n",
       "Q 33.9375 -1.421875 27.875 -1.421875 \r\n",
       "Q 17.96875 -1.421875 11.734375 6.484375 \r\n",
       "Q 5.515625 14.40625 5.515625 27.296875 \r\n",
       "Q 5.515625 40.1875 11.734375 48.09375 \r\n",
       "Q 17.96875 56 27.875 56 \r\n",
       "Q 33.9375 56 38.25 53.625 \r\n",
       "Q 42.578125 51.265625 45.40625 46.390625 \r\n",
       "z\r\n",
       "M 14.796875 27.296875 \r\n",
       "Q 14.796875 17.390625 18.875 11.75 \r\n",
       "Q 22.953125 6.109375 30.078125 6.109375 \r\n",
       "Q 37.203125 6.109375 41.296875 11.75 \r\n",
       "Q 45.40625 17.390625 45.40625 27.296875 \r\n",
       "Q 45.40625 37.203125 41.296875 42.84375 \r\n",
       "Q 37.203125 48.484375 30.078125 48.484375 \r\n",
       "Q 22.953125 48.484375 18.875 42.84375 \r\n",
       "Q 14.796875 37.203125 14.796875 27.296875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-100\"/>\r\n",
       "     </defs>\r\n",
       "     <g transform=\"translate(51.834149 237.476604)scale(0.08 -0.08)\">\r\n",
       "      <use xlink:href=\"#DejaVuSans-57\"/>\r\n",
       "      <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\r\n",
       "      <use x=\"127.246094\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "      <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\r\n",
       "      <use x=\"222.65625\" xlink:href=\"#DejaVuSans-37\"/>\r\n",
       "      <use x=\"317.675781\" xlink:href=\"#DejaVuSans-32\"/>\r\n",
       "      <use x=\"349.462891\" xlink:href=\"#DejaVuSans-112\"/>\r\n",
       "      <use x=\"412.939453\" xlink:href=\"#DejaVuSans-114\"/>\r\n",
       "      <use x=\"454.021484\" xlink:href=\"#DejaVuSans-101\"/>\r\n",
       "      <use x=\"515.544922\" xlink:href=\"#DejaVuSans-100\"/>\r\n",
       "      <use x=\"579.021484\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "      <use x=\"610.808594\" xlink:href=\"#DejaVuSans-32\"/>\r\n",
       "      <use x=\"642.595703\" xlink:href=\"#DejaVuSans-105\"/>\r\n",
       "      <use x=\"670.378906\" xlink:href=\"#DejaVuSans-110\"/>\r\n",
       "      <use x=\"733.757812\" xlink:href=\"#DejaVuSans-116\"/>\r\n",
       "      <use x=\"772.966797\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_37\">\r\n",
       "     <path d=\"M 29.434149 246.419104 \r\n",
       "L 45.434149 246.419104 \r\n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linejoin:miter;stroke-opacity:0.85;\"/>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_38\"/>\r\n",
       "    <g id=\"text_16\">\r\n",
       "     <!-- true curve -->\r\n",
       "     <g transform=\"translate(51.834149 249.219104)scale(0.08 -0.08)\">\r\n",
       "      <use xlink:href=\"#DejaVuSans-116\"/>\r\n",
       "      <use x=\"39.208984\" xlink:href=\"#DejaVuSans-114\"/>\r\n",
       "      <use x=\"80.322266\" xlink:href=\"#DejaVuSans-117\"/>\r\n",
       "      <use x=\"143.701172\" xlink:href=\"#DejaVuSans-101\"/>\r\n",
       "      <use x=\"205.224609\" xlink:href=\"#DejaVuSans-32\"/>\r\n",
       "      <use x=\"237.011719\" xlink:href=\"#DejaVuSans-99\"/>\r\n",
       "      <use x=\"291.992188\" xlink:href=\"#DejaVuSans-117\"/>\r\n",
       "      <use x=\"355.371094\" xlink:href=\"#DejaVuSans-114\"/>\r\n",
       "      <use x=\"396.484375\" xlink:href=\"#DejaVuSans-118\"/>\r\n",
       "      <use x=\"455.664062\" xlink:href=\"#DejaVuSans-101\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_39\">\r\n",
       "     <path d=\"M 29.434149 258.161604 \r\n",
       "L 45.434149 258.161604 \r\n",
       "\" style=\"fill:none;\"/>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_40\">\r\n",
       "     <defs>\r\n",
       "      <path d=\"M 0 3.2 \r\n",
       "C 0.84865 3.2 1.662656 2.862828 2.262742 2.262742 \r\n",
       "C 2.862828 1.662656 3.2 0.84865 3.2 0 \r\n",
       "C 3.2 -0.84865 2.862828 -1.662656 2.262742 -2.262742 \r\n",
       "C 1.662656 -2.862828 0.84865 -3.2 0 -3.2 \r\n",
       "C -0.84865 -3.2 -1.662656 -2.862828 -2.262742 -2.262742 \r\n",
       "C -2.862828 -1.662656 -3.2 -0.84865 -3.2 0 \r\n",
       "C -3.2 0.84865 -2.862828 1.662656 -2.262742 2.262742 \r\n",
       "C -1.662656 2.862828 -0.84865 3.2 0 3.2 \r\n",
       "z\r\n",
       "\" id=\"m0be363354d\" style=\"stroke:#0000ff;stroke-opacity:0.5;stroke-width:1.6;\"/>\r\n",
       "     </defs>\r\n",
       "     <g>\r\n",
       "      <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;stroke-width:1.6;\" x=\"37.434149\" xlink:href=\"#m0be363354d\" y=\"258.161604\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"text_17\">\r\n",
       "     <!-- sample -->\r\n",
       "     <defs>\r\n",
       "      <path d=\"M 44.28125 53.078125 \r\n",
       "L 44.28125 44.578125 \r\n",
       "Q 40.484375 46.53125 36.375 47.5 \r\n",
       "Q 32.28125 48.484375 27.875 48.484375 \r\n",
       "Q 21.1875 48.484375 17.84375 46.4375 \r\n",
       "Q 14.5 44.390625 14.5 40.28125 \r\n",
       "Q 14.5 37.15625 16.890625 35.375 \r\n",
       "Q 19.28125 33.59375 26.515625 31.984375 \r\n",
       "L 29.59375 31.296875 \r\n",
       "Q 39.15625 29.25 43.1875 25.515625 \r\n",
       "Q 47.21875 21.78125 47.21875 15.09375 \r\n",
       "Q 47.21875 7.46875 41.1875 3.015625 \r\n",
       "Q 35.15625 -1.421875 24.609375 -1.421875 \r\n",
       "Q 20.21875 -1.421875 15.453125 -0.5625 \r\n",
       "Q 10.6875 0.296875 5.421875 2 \r\n",
       "L 5.421875 11.28125 \r\n",
       "Q 10.40625 8.6875 15.234375 7.390625 \r\n",
       "Q 20.0625 6.109375 24.8125 6.109375 \r\n",
       "Q 31.15625 6.109375 34.5625 8.28125 \r\n",
       "Q 37.984375 10.453125 37.984375 14.40625 \r\n",
       "Q 37.984375 18.0625 35.515625 20.015625 \r\n",
       "Q 33.0625 21.96875 24.703125 23.78125 \r\n",
       "L 21.578125 24.515625 \r\n",
       "Q 13.234375 26.265625 9.515625 29.90625 \r\n",
       "Q 5.8125 33.546875 5.8125 39.890625 \r\n",
       "Q 5.8125 47.609375 11.28125 51.796875 \r\n",
       "Q 16.75 56 26.8125 56 \r\n",
       "Q 31.78125 56 36.171875 55.265625 \r\n",
       "Q 40.578125 54.546875 44.28125 53.078125 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-115\"/>\r\n",
       "      <path d=\"M 34.28125 27.484375 \r\n",
       "Q 23.390625 27.484375 19.1875 25 \r\n",
       "Q 14.984375 22.515625 14.984375 16.5 \r\n",
       "Q 14.984375 11.71875 18.140625 8.90625 \r\n",
       "Q 21.296875 6.109375 26.703125 6.109375 \r\n",
       "Q 34.1875 6.109375 38.703125 11.40625 \r\n",
       "Q 43.21875 16.703125 43.21875 25.484375 \r\n",
       "L 43.21875 27.484375 \r\n",
       "z\r\n",
       "M 52.203125 31.203125 \r\n",
       "L 52.203125 0 \r\n",
       "L 43.21875 0 \r\n",
       "L 43.21875 8.296875 \r\n",
       "Q 40.140625 3.328125 35.546875 0.953125 \r\n",
       "Q 30.953125 -1.421875 24.3125 -1.421875 \r\n",
       "Q 15.921875 -1.421875 10.953125 3.296875 \r\n",
       "Q 6 8.015625 6 15.921875 \r\n",
       "Q 6 25.140625 12.171875 29.828125 \r\n",
       "Q 18.359375 34.515625 30.609375 34.515625 \r\n",
       "L 43.21875 34.515625 \r\n",
       "L 43.21875 35.40625 \r\n",
       "Q 43.21875 41.609375 39.140625 45 \r\n",
       "Q 35.0625 48.390625 27.6875 48.390625 \r\n",
       "Q 23 48.390625 18.546875 47.265625 \r\n",
       "Q 14.109375 46.140625 10.015625 43.890625 \r\n",
       "L 10.015625 52.203125 \r\n",
       "Q 14.9375 54.109375 19.578125 55.046875 \r\n",
       "Q 24.21875 56 28.609375 56 \r\n",
       "Q 40.484375 56 46.34375 49.84375 \r\n",
       "Q 52.203125 43.703125 52.203125 31.203125 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-97\"/>\r\n",
       "      <path d=\"M 52 44.1875 \r\n",
       "Q 55.375 50.25 60.0625 53.125 \r\n",
       "Q 64.75 56 71.09375 56 \r\n",
       "Q 79.640625 56 84.28125 50.015625 \r\n",
       "Q 88.921875 44.046875 88.921875 33.015625 \r\n",
       "L 88.921875 0 \r\n",
       "L 79.890625 0 \r\n",
       "L 79.890625 32.71875 \r\n",
       "Q 79.890625 40.578125 77.09375 44.375 \r\n",
       "Q 74.3125 48.1875 68.609375 48.1875 \r\n",
       "Q 61.625 48.1875 57.5625 43.546875 \r\n",
       "Q 53.515625 38.921875 53.515625 30.90625 \r\n",
       "L 53.515625 0 \r\n",
       "L 44.484375 0 \r\n",
       "L 44.484375 32.71875 \r\n",
       "Q 44.484375 40.625 41.703125 44.40625 \r\n",
       "Q 38.921875 48.1875 33.109375 48.1875 \r\n",
       "Q 26.21875 48.1875 22.15625 43.53125 \r\n",
       "Q 18.109375 38.875 18.109375 30.90625 \r\n",
       "L 18.109375 0 \r\n",
       "L 9.078125 0 \r\n",
       "L 9.078125 54.6875 \r\n",
       "L 18.109375 54.6875 \r\n",
       "L 18.109375 46.1875 \r\n",
       "Q 21.1875 51.21875 25.484375 53.609375 \r\n",
       "Q 29.78125 56 35.6875 56 \r\n",
       "Q 41.65625 56 45.828125 52.96875 \r\n",
       "Q 50 49.953125 52 44.1875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-109\"/>\r\n",
       "      <path d=\"M 9.421875 75.984375 \r\n",
       "L 18.40625 75.984375 \r\n",
       "L 18.40625 0 \r\n",
       "L 9.421875 0 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-108\"/>\r\n",
       "     </defs>\r\n",
       "     <g transform=\"translate(51.834149 260.961604)scale(0.08 -0.08)\">\r\n",
       "      <use xlink:href=\"#DejaVuSans-115\"/>\r\n",
       "      <use x=\"52.099609\" xlink:href=\"#DejaVuSans-97\"/>\r\n",
       "      <use x=\"113.378906\" xlink:href=\"#DejaVuSans-109\"/>\r\n",
       "      <use x=\"210.791016\" xlink:href=\"#DejaVuSans-112\"/>\r\n",
       "      <use x=\"274.267578\" xlink:href=\"#DejaVuSans-108\"/>\r\n",
       "      <use x=\"302.050781\" xlink:href=\"#DejaVuSans-101\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "   </g>\r\n",
       "  </g>\r\n",
       " </g>\r\n",
       " <defs>\r\n",
       "  <clipPath id=\"p2b65a10444\">\r\n",
       "   <rect height=\"266.590709\" width=\"410.131205\" x=\"19.034149\" y=\"6.434646\"/>\r\n",
       "  </clipPath>\r\n",
       " </defs>\r\n",
       "</svg>\r\n"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "n = 2^5\n",
    "x = range(0, 10, length=n)\n",
    "F = [x -> exp(-(x-μ)^2/(2*0.5^2)) for μ in range(minimum(x)-0.3, maximum(x)+0.3, length=n÷2)]\n",
    "f_true = (x -> 2 - 2x + 0.2x^2)\n",
    "y = f_true.(x) + 0.5randn(n)\n",
    "\n",
    "plot_linear_regression(F, x, f_true; y=y, xs=range(-1, 11, length=400), ylim=(-6, 6))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "b̂ = [0.20778205316103399, 3.7278268225910036, -0.07283288009344126, -0.39117838960872936, 0.14626759325482752, -0.008041165605993737, -0.01779709159464472, 0.0014974050119800778, 0.0008739417985579831, -3.350622555433312e-5, -1.488657181502442e-5]\n",
      "û = 1.6487068513596623\n"
     ]
    },
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\r\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\r\n",
       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\r\n",
       "<!-- Created with matplotlib (https://matplotlib.org/) -->\r\n",
       "<svg height=\"288pt\" version=\"1.1\" viewBox=\"0 0 432 288\" width=\"432pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\r\n",
       " <defs>\r\n",
       "  <style type=\"text/css\">\r\n",
       "*{stroke-linecap:butt;stroke-linejoin:round;}\r\n",
       "  </style>\r\n",
       " </defs>\r\n",
       " <g id=\"figure_1\">\r\n",
       "  <g id=\"patch_1\">\r\n",
       "   <path d=\"M 0 288 \r\n",
       "L 432 288 \r\n",
       "L 432 0 \r\n",
       "L 0 0 \r\n",
       "z\r\n",
       "\" style=\"fill:#ffffff;\"/>\r\n",
       "  </g>\r\n",
       "  <g id=\"axes_1\">\r\n",
       "   <g id=\"patch_2\">\r\n",
       "    <path d=\"M 24.101593 273.025354 \r\n",
       "L 429.165354 273.025354 \r\n",
       "L 429.165354 2.834646 \r\n",
       "L 24.101593 2.834646 \r\n",
       "z\r\n",
       "\" style=\"fill:#ffffff;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"matplotlib.axis_1\">\r\n",
       "    <g id=\"xtick_1\">\r\n",
       "     <g id=\"line2d_1\">\r\n",
       "      <path clip-path=\"url(#p099e324d2c)\" d=\"M 87.675065 273.025354 \r\n",
       "L 87.675065 2.834646 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_2\">\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 0 0 \r\n",
       "L 0 -2.5 \r\n",
       "\" id=\"m33966b5023\" style=\"stroke:#000000;stroke-width:0.5;\"/>\r\n",
       "      </defs>\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"87.675065\" xlink:href=\"#m33966b5023\" y=\"273.025354\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_1\">\r\n",
       "      <!-- $\\mathregular{-4}$ -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 10.59375 35.5 \r\n",
       "L 73.1875 35.5 \r\n",
       "L 73.1875 27.203125 \r\n",
       "L 10.59375 27.203125 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-8722\"/>\r\n",
       "       <path d=\"M 37.796875 64.3125 \r\n",
       "L 12.890625 25.390625 \r\n",
       "L 37.796875 25.390625 \r\n",
       "z\r\n",
       "M 35.203125 72.90625 \r\n",
       "L 47.609375 72.90625 \r\n",
       "L 47.609375 25.390625 \r\n",
       "L 58.015625 25.390625 \r\n",
       "L 58.015625 17.1875 \r\n",
       "L 47.609375 17.1875 \r\n",
       "L 47.609375 0 \r\n",
       "L 37.796875 0 \r\n",
       "L 37.796875 17.1875 \r\n",
       "L 4.890625 17.1875 \r\n",
       "L 4.890625 26.703125 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-52\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(81.755065 282.604104)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.09375)\" xlink:href=\"#DejaVuSans-8722\"/>\r\n",
       "       <use transform=\"translate(83.789062 0.09375)\" xlink:href=\"#DejaVuSans-52\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_2\">\r\n",
       "     <g id=\"line2d_3\">\r\n",
       "      <path clip-path=\"url(#p099e324d2c)\" d=\"M 157.154269 273.025354 \r\n",
       "L 157.154269 2.834646 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_4\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"157.154269\" xlink:href=\"#m33966b5023\" y=\"273.025354\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_2\">\r\n",
       "      <!-- $\\mathregular{-2}$ -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 19.1875 8.296875 \r\n",
       "L 53.609375 8.296875 \r\n",
       "L 53.609375 0 \r\n",
       "L 7.328125 0 \r\n",
       "L 7.328125 8.296875 \r\n",
       "Q 12.9375 14.109375 22.625 23.890625 \r\n",
       "Q 32.328125 33.6875 34.8125 36.53125 \r\n",
       "Q 39.546875 41.84375 41.421875 45.53125 \r\n",
       "Q 43.3125 49.21875 43.3125 52.78125 \r\n",
       "Q 43.3125 58.59375 39.234375 62.25 \r\n",
       "Q 35.15625 65.921875 28.609375 65.921875 \r\n",
       "Q 23.96875 65.921875 18.8125 64.3125 \r\n",
       "Q 13.671875 62.703125 7.8125 59.421875 \r\n",
       "L 7.8125 69.390625 \r\n",
       "Q 13.765625 71.78125 18.9375 73 \r\n",
       "Q 24.125 74.21875 28.421875 74.21875 \r\n",
       "Q 39.75 74.21875 46.484375 68.546875 \r\n",
       "Q 53.21875 62.890625 53.21875 53.421875 \r\n",
       "Q 53.21875 48.921875 51.53125 44.890625 \r\n",
       "Q 49.859375 40.875 45.40625 35.40625 \r\n",
       "Q 44.1875 33.984375 37.640625 27.21875 \r\n",
       "Q 31.109375 20.453125 19.1875 8.296875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-50\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(151.234269 282.604104)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-8722\"/>\r\n",
       "       <use transform=\"translate(83.789062 0.78125)\" xlink:href=\"#DejaVuSans-50\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_3\">\r\n",
       "     <g id=\"line2d_5\">\r\n",
       "      <path clip-path=\"url(#p099e324d2c)\" d=\"M 226.633474 273.025354 \r\n",
       "L 226.633474 2.834646 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_6\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"226.633474\" xlink:href=\"#m33966b5023\" y=\"273.025354\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_3\">\r\n",
       "      <!-- $\\mathregular{0}$ -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 31.78125 66.40625 \r\n",
       "Q 24.171875 66.40625 20.328125 58.90625 \r\n",
       "Q 16.5 51.421875 16.5 36.375 \r\n",
       "Q 16.5 21.390625 20.328125 13.890625 \r\n",
       "Q 24.171875 6.390625 31.78125 6.390625 \r\n",
       "Q 39.453125 6.390625 43.28125 13.890625 \r\n",
       "Q 47.125 21.390625 47.125 36.375 \r\n",
       "Q 47.125 51.421875 43.28125 58.90625 \r\n",
       "Q 39.453125 66.40625 31.78125 66.40625 \r\n",
       "z\r\n",
       "M 31.78125 74.21875 \r\n",
       "Q 44.046875 74.21875 50.515625 64.515625 \r\n",
       "Q 56.984375 54.828125 56.984375 36.375 \r\n",
       "Q 56.984375 17.96875 50.515625 8.265625 \r\n",
       "Q 44.046875 -1.421875 31.78125 -1.421875 \r\n",
       "Q 19.53125 -1.421875 13.0625 8.265625 \r\n",
       "Q 6.59375 17.96875 6.59375 36.375 \r\n",
       "Q 6.59375 54.828125 13.0625 64.515625 \r\n",
       "Q 19.53125 74.21875 31.78125 74.21875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-48\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(224.073474 282.604104)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_4\">\r\n",
       "     <g id=\"line2d_7\">\r\n",
       "      <path clip-path=\"url(#p099e324d2c)\" d=\"M 296.112678 273.025354 \r\n",
       "L 296.112678 2.834646 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_8\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"296.112678\" xlink:href=\"#m33966b5023\" y=\"273.025354\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_4\">\r\n",
       "      <!-- $\\mathregular{2}$ -->\r\n",
       "      <g transform=\"translate(293.552678 282.604104)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-50\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_5\">\r\n",
       "     <g id=\"line2d_9\">\r\n",
       "      <path clip-path=\"url(#p099e324d2c)\" d=\"M 365.591882 273.025354 \r\n",
       "L 365.591882 2.834646 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_10\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"365.591882\" xlink:href=\"#m33966b5023\" y=\"273.025354\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_5\">\r\n",
       "      <!-- $\\mathregular{4}$ -->\r\n",
       "      <g transform=\"translate(363.031882 282.604104)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.09375)\" xlink:href=\"#DejaVuSans-52\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "   </g>\r\n",
       "   <g id=\"matplotlib.axis_2\">\r\n",
       "    <g id=\"ytick_1\">\r\n",
       "     <g id=\"line2d_11\">\r\n",
       "      <path clip-path=\"url(#p099e324d2c)\" d=\"M 24.101593 273.025354 \r\n",
       "L 429.165354 273.025354 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_12\">\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 0 0 \r\n",
       "L 2.5 0 \r\n",
       "\" id=\"m2d6f05d46c\" style=\"stroke:#000000;stroke-width:0.5;\"/>\r\n",
       "      </defs>\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"24.101593\" xlink:href=\"#m2d6f05d46c\" y=\"273.025354\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_6\">\r\n",
       "      <!-- $\\mathregular{-10}$ -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 12.40625 8.296875 \r\n",
       "L 28.515625 8.296875 \r\n",
       "L 28.515625 63.921875 \r\n",
       "L 10.984375 60.40625 \r\n",
       "L 10.984375 69.390625 \r\n",
       "L 28.421875 72.90625 \r\n",
       "L 38.28125 72.90625 \r\n",
       "L 38.28125 8.296875 \r\n",
       "L 54.390625 8.296875 \r\n",
       "L 54.390625 0 \r\n",
       "L 12.40625 0 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-49\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(3.641593 276.064729)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-8722\"/>\r\n",
       "       <use transform=\"translate(83.789062 0.78125)\" xlink:href=\"#DejaVuSans-49\"/>\r\n",
       "       <use transform=\"translate(147.412109 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_2\">\r\n",
       "     <g id=\"line2d_13\">\r\n",
       "      <path clip-path=\"url(#p099e324d2c)\" d=\"M 24.101593 193.557499 \r\n",
       "L 429.165354 193.557499 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_14\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"24.101593\" xlink:href=\"#m2d6f05d46c\" y=\"193.557499\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_7\">\r\n",
       "      <!-- $\\mathregular{0}$ -->\r\n",
       "      <g transform=\"translate(15.481593 196.596874)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_3\">\r\n",
       "     <g id=\"line2d_15\">\r\n",
       "      <path clip-path=\"url(#p099e324d2c)\" d=\"M 24.101593 114.089643 \r\n",
       "L 429.165354 114.089643 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_16\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"24.101593\" xlink:href=\"#m2d6f05d46c\" y=\"114.089643\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_8\">\r\n",
       "      <!-- $\\mathregular{10}$ -->\r\n",
       "      <g transform=\"translate(10.361593 117.129018)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-49\"/>\r\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_4\">\r\n",
       "     <g id=\"line2d_17\">\r\n",
       "      <path clip-path=\"url(#p099e324d2c)\" d=\"M 24.101593 34.621788 \r\n",
       "L 429.165354 34.621788 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_18\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"24.101593\" xlink:href=\"#m2d6f05d46c\" y=\"34.621788\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_9\">\r\n",
       "      <!-- $\\mathregular{20}$ -->\r\n",
       "      <g transform=\"translate(10.361593 37.661163)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-50\"/>\r\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_19\">\r\n",
       "    <path clip-path=\"url(#p099e324d2c)\" d=\"M 35.565661 151.30186 \r\n",
       "L 37.481128 138.95892 \r\n",
       "L 39.396595 128.964794 \r\n",
       "L 41.312062 120.991922 \r\n",
       "L 43.227529 114.750517 \r\n",
       "L 44.185262 112.198034 \r\n",
       "L 45.142995 109.985131 \r\n",
       "L 46.100729 108.084717 \r\n",
       "L 47.058462 106.471461 \r\n",
       "L 48.016196 105.121705 \r\n",
       "L 48.973929 104.013377 \r\n",
       "L 49.931662 103.125909 \r\n",
       "L 50.889396 102.440163 \r\n",
       "L 51.847129 101.938351 \r\n",
       "L 52.804863 101.603966 \r\n",
       "L 53.762596 101.421712 \r\n",
       "L 54.720329 101.377436 \r\n",
       "L 55.678063 101.458065 \r\n",
       "L 57.593529 101.946774 \r\n",
       "L 59.508996 102.802576 \r\n",
       "L 61.424463 103.953804 \r\n",
       "L 63.33993 105.34077 \r\n",
       "L 66.21313 107.758143 \r\n",
       "L 69.08633 110.468595 \r\n",
       "L 72.917264 114.384615 \r\n",
       "L 78.663664 120.651782 \r\n",
       "L 85.367798 128.340966 \r\n",
       "L 92.071932 136.397121 \r\n",
       "L 97.818332 143.636576 \r\n",
       "L 103.564732 151.209026 \r\n",
       "L 110.268866 160.428285 \r\n",
       "L 120.803933 175.392033 \r\n",
       "L 128.465801 186.142283 \r\n",
       "L 133.254468 192.559991 \r\n",
       "L 138.043135 198.596855 \r\n",
       "L 141.874068 203.072062 \r\n",
       "L 145.705002 207.171813 \r\n",
       "L 148.578202 209.970441 \r\n",
       "L 151.451402 212.512268 \r\n",
       "L 154.324602 214.782169 \r\n",
       "L 157.197802 216.767926 \r\n",
       "L 160.071003 218.46035 \r\n",
       "L 162.944203 219.853333 \r\n",
       "L 165.817403 220.943853 \r\n",
       "L 168.690603 221.731915 \r\n",
       "L 171.563803 222.220451 \r\n",
       "L 174.437004 222.41517 \r\n",
       "L 177.310204 222.324367 \r\n",
       "L 180.183404 221.958706 \r\n",
       "L 183.056604 221.330962 \r\n",
       "L 185.929804 220.455758 \r\n",
       "L 188.803004 219.349267 \r\n",
       "L 191.676205 218.028921 \r\n",
       "L 195.507138 215.967676 \r\n",
       "L 199.338072 213.604261 \r\n",
       "L 203.169005 210.984776 \r\n",
       "L 207.957672 207.41997 \r\n",
       "L 213.704073 202.829401 \r\n",
       "L 222.323673 195.584183 \r\n",
       "L 236.689674 183.446814 \r\n",
       "L 244.351541 177.286078 \r\n",
       "L 251.055675 172.189066 \r\n",
       "L 256.802075 168.076944 \r\n",
       "L 262.548476 164.230051 \r\n",
       "L 268.294876 160.678415 \r\n",
       "L 273.083543 157.971747 \r\n",
       "L 277.87221 155.525454 \r\n",
       "L 281.703144 153.779508 \r\n",
       "L 285.534077 152.244017 \r\n",
       "L 289.365011 150.942562 \r\n",
       "L 293.195944 149.900416 \r\n",
       "L 297.026878 149.143564 \r\n",
       "L 299.900078 148.778499 \r\n",
       "L 302.773278 148.598247 \r\n",
       "L 305.646479 148.611688 \r\n",
       "L 308.519679 148.826093 \r\n",
       "L 311.392879 149.24661 \r\n",
       "L 314.266079 149.875706 \r\n",
       "L 317.139279 150.712603 \r\n",
       "L 320.012479 151.75271 \r\n",
       "L 322.88568 152.987062 \r\n",
       "L 326.716613 154.910311 \r\n",
       "L 330.547547 157.105798 \r\n",
       "L 335.336214 160.130235 \r\n",
       "L 346.829014 167.574493 \r\n",
       "L 350.659948 169.679851 \r\n",
       "L 353.533148 170.987168 \r\n",
       "L 356.406348 171.992068 \r\n",
       "L 358.321815 172.464227 \r\n",
       "L 360.237282 172.758826 \r\n",
       "L 362.152749 172.861096 \r\n",
       "L 364.068216 172.758505 \r\n",
       "L 365.983682 172.441398 \r\n",
       "L 367.899149 171.903725 \r\n",
       "L 369.814616 171.143851 \r\n",
       "L 371.730083 170.165466 \r\n",
       "L 373.645549 168.978579 \r\n",
       "L 376.51875 166.847794 \r\n",
       "L 379.39195 164.385945 \r\n",
       "L 387.053817 157.568183 \r\n",
       "L 388.969284 156.254261 \r\n",
       "L 390.884751 155.330457 \r\n",
       "L 391.842484 155.062481 \r\n",
       "L 392.800217 154.952354 \r\n",
       "L 393.757951 155.023626 \r\n",
       "L 394.715684 155.301656 \r\n",
       "L 395.673418 155.813702 \r\n",
       "L 396.631151 156.589023 \r\n",
       "L 397.588884 157.658976 \r\n",
       "L 398.546618 159.057122 \r\n",
       "L 399.504351 160.819334 \r\n",
       "L 400.462085 162.983908 \r\n",
       "L 401.419818 165.591679 \r\n",
       "L 402.377551 168.686144 \r\n",
       "L 403.335285 172.31358 \r\n",
       "L 404.293018 176.523179 \r\n",
       "L 405.250751 181.367178 \r\n",
       "L 406.208485 186.900995 \r\n",
       "L 407.166218 193.183373 \r\n",
       "L 408.123952 200.276527 \r\n",
       "L 409.081685 208.246295 \r\n",
       "L 410.997152 227.098077 \r\n",
       "L 412.912619 250.343953 \r\n",
       "L 414.828085 278.657679 \r\n",
       "L 415.436213 289 \r\n",
       "L 415.436213 289 \r\n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-width:2;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_20\">\r\n",
       "    <path clip-path=\"url(#p099e324d2c)\" d=\"M 38.259618 289 \r\n",
       "L 39.396595 263.250317 \r\n",
       "L 41.312062 226.175944 \r\n",
       "L 43.227529 195.812445 \r\n",
       "L 45.142995 171.266472 \r\n",
       "L 47.058462 151.757316 \r\n",
       "L 48.016196 143.678759 \r\n",
       "L 48.973929 136.619327 \r\n",
       "L 49.931662 130.516108 \r\n",
       "L 50.889396 125.316163 \r\n",
       "L 51.847129 120.977873 \r\n",
       "L 52.804863 117.471611 \r\n",
       "L 53.762596 114.777338 \r\n",
       "L 54.720329 112.874632 \r\n",
       "L 55.678063 111.721669 \r\n",
       "L 56.635796 111.231194 \r\n",
       "L 57.593529 111.266956 \r\n",
       "L 58.551263 111.671981 \r\n",
       "L 60.46673 113.062563 \r\n",
       "L 65.255397 117.047174 \r\n",
       "L 69.08633 119.835339 \r\n",
       "L 73.874997 123.230086 \r\n",
       "L 76.748197 125.528761 \r\n",
       "L 79.621398 128.170065 \r\n",
       "L 82.494598 131.16926 \r\n",
       "L 86.325531 135.588737 \r\n",
       "L 93.029665 143.799921 \r\n",
       "L 105.480199 159.371247 \r\n",
       "L 111.2266 166.971133 \r\n",
       "L 116.973 174.971288 \r\n",
       "L 131.339001 195.240573 \r\n",
       "L 136.127668 201.429154 \r\n",
       "L 139.958601 206.004093 \r\n",
       "L 143.789535 210.195048 \r\n",
       "L 146.662735 213.067152 \r\n",
       "L 149.535935 215.69622 \r\n",
       "L 152.409135 218.074847 \r\n",
       "L 155.282336 220.196485 \r\n",
       "L 158.155536 222.054592 \r\n",
       "L 161.028736 223.642253 \r\n",
       "L 163.901936 224.952371 \r\n",
       "L 166.775136 225.978369 \r\n",
       "L 169.648337 226.715185 \r\n",
       "L 172.521537 227.160247 \r\n",
       "L 175.394737 227.314235 \r\n",
       "L 178.267937 227.1815 \r\n",
       "L 181.141137 226.770154 \r\n",
       "L 184.014337 226.091854 \r\n",
       "L 186.887538 225.161381 \r\n",
       "L 189.760738 223.996062 \r\n",
       "L 192.633938 222.615106 \r\n",
       "L 196.464872 220.473757 \r\n",
       "L 200.295805 218.034978 \r\n",
       "L 204.126739 215.347727 \r\n",
       "L 208.915406 211.710109 \r\n",
       "L 214.661806 207.046917 \r\n",
       "L 223.281407 199.714563 \r\n",
       "L 235.731941 189.135711 \r\n",
       "L 242.436075 183.76429 \r\n",
       "L 248.182475 179.445637 \r\n",
       "L 253.928875 175.406793 \r\n",
       "L 259.675276 171.628241 \r\n",
       "L 266.379409 167.507089 \r\n",
       "L 273.083543 163.672103 \r\n",
       "L 278.829943 160.642243 \r\n",
       "L 283.61861 158.3584 \r\n",
       "L 287.449544 156.743727 \r\n",
       "L 291.280478 155.373464 \r\n",
       "L 294.153678 154.541165 \r\n",
       "L 297.026878 153.903782 \r\n",
       "L 299.900078 153.483215 \r\n",
       "L 302.773278 153.296022 \r\n",
       "L 305.646479 153.351455 \r\n",
       "L 308.519679 153.650825 \r\n",
       "L 311.392879 154.188315 \r\n",
       "L 314.266079 154.952734 \r\n",
       "L 317.139279 155.929451 \r\n",
       "L 320.012479 157.101959 \r\n",
       "L 323.843413 158.939749 \r\n",
       "L 327.674347 161.052139 \r\n",
       "L 332.463014 164.009753 \r\n",
       "L 338.209414 167.882878 \r\n",
       "L 346.829014 173.757061 \r\n",
       "L 350.659948 176.05169 \r\n",
       "L 353.533148 177.492797 \r\n",
       "L 356.406348 178.606845 \r\n",
       "L 358.321815 179.132223 \r\n",
       "L 360.237282 179.462902 \r\n",
       "L 362.152749 179.585723 \r\n",
       "L 364.068216 179.492843 \r\n",
       "L 365.983682 179.18245 \r\n",
       "L 367.899149 178.658908 \r\n",
       "L 369.814616 177.932057 \r\n",
       "L 371.730083 177.015504 \r\n",
       "L 374.603283 175.317153 \r\n",
       "L 377.476483 173.267416 \r\n",
       "L 380.349683 170.894497 \r\n",
       "L 383.222883 168.232429 \r\n",
       "L 388.01155 163.601143 \r\n",
       "L 388.969284 162.837037 \r\n",
       "L 389.927017 162.25338 \r\n",
       "L 390.884751 161.950905 \r\n",
       "L 391.842484 162.049009 \r\n",
       "L 392.800217 162.66372 \r\n",
       "L 393.757951 163.884134 \r\n",
       "L 394.715684 165.767112 \r\n",
       "L 395.673418 168.350666 \r\n",
       "L 396.631151 171.670117 \r\n",
       "L 397.588884 175.767448 \r\n",
       "L 398.546618 180.6944 \r\n",
       "L 399.504351 186.512578 \r\n",
       "L 400.462085 193.292672 \r\n",
       "L 401.419818 201.113666 \r\n",
       "L 402.377551 210.062256 \r\n",
       "L 403.335285 220.232511 \r\n",
       "L 404.293018 231.725717 \r\n",
       "L 405.250751 244.650361 \r\n",
       "L 407.166218 275.264492 \r\n",
       "L 407.899348 289 \r\n",
       "L 407.899348 289 \r\n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-dasharray:1,1.65;stroke-dashoffset:0;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_3\">\r\n",
       "    <path d=\"M 24.101593 273.025354 \r\n",
       "L 24.101593 2.834646 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_4\">\r\n",
       "    <path d=\"M 24.101593 273.025354 \r\n",
       "L 429.165354 273.025354 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_21\">\r\n",
       "    <path clip-path=\"url(#p099e324d2c)\" d=\"M 39.77292 -1 \r\n",
       "L 41.312062 15.807901 \r\n",
       "L 43.227529 33.688588 \r\n",
       "L 45.142995 48.703789 \r\n",
       "L 47.058462 61.185607 \r\n",
       "L 48.973929 71.407427 \r\n",
       "L 50.889396 79.564163 \r\n",
       "L 51.847129 82.898828 \r\n",
       "L 52.804863 85.736321 \r\n",
       "L 53.762596 88.066087 \r\n",
       "L 54.720329 89.880241 \r\n",
       "L 55.678063 91.19446 \r\n",
       "L 56.635796 92.07189 \r\n",
       "L 57.593529 92.626591 \r\n",
       "L 62.382196 94.546853 \r\n",
       "L 64.297663 95.923439 \r\n",
       "L 66.21313 97.740414 \r\n",
       "L 68.128597 99.913465 \r\n",
       "L 71.001797 103.619158 \r\n",
       "L 80.579131 116.49209 \r\n",
       "L 85.367798 122.230552 \r\n",
       "L 92.071932 130.17822 \r\n",
       "L 96.860599 136.274232 \r\n",
       "L 101.649266 142.793772 \r\n",
       "L 108.353399 152.395333 \r\n",
       "L 120.803933 170.333769 \r\n",
       "L 128.465801 180.960406 \r\n",
       "L 134.212201 188.592402 \r\n",
       "L 139.000868 194.600963 \r\n",
       "L 142.831802 199.083265 \r\n",
       "L 146.662735 203.197197 \r\n",
       "L 149.535935 205.997892 \r\n",
       "L 152.409135 208.524714 \r\n",
       "L 155.282336 210.755868 \r\n",
       "L 158.155536 212.675459 \r\n",
       "L 161.028736 214.274069 \r\n",
       "L 163.901936 215.548646 \r\n",
       "L 166.775136 216.501752 \r\n",
       "L 169.648337 217.140443 \r\n",
       "L 172.521537 217.475043 \r\n",
       "L 175.394737 217.518058 \r\n",
       "L 178.267937 217.283359 \r\n",
       "L 181.141137 216.785629 \r\n",
       "L 184.014337 216.040053 \r\n",
       "L 186.887538 215.062194 \r\n",
       "L 189.760738 213.867981 \r\n",
       "L 192.633938 212.473771 \r\n",
       "L 196.464872 210.332952 \r\n",
       "L 200.295805 207.90821 \r\n",
       "L 204.126739 205.242836 \r\n",
       "L 208.915406 201.640387 \r\n",
       "L 214.661806 197.033499 \r\n",
       "L 224.23914 189.009688 \r\n",
       "L 239.562874 176.173495 \r\n",
       "L 248.182475 169.226923 \r\n",
       "L 254.886609 164.079226 \r\n",
       "L 260.633009 159.940806 \r\n",
       "L 265.421676 156.752068 \r\n",
       "L 270.210343 153.853083 \r\n",
       "L 274.041277 151.772291 \r\n",
       "L 277.87221 149.923131 \r\n",
       "L 281.703144 148.318235 \r\n",
       "L 285.534077 146.964065 \r\n",
       "L 289.365011 145.860643 \r\n",
       "L 293.195944 145.002706 \r\n",
       "L 297.026878 144.383347 \r\n",
       "L 300.857812 144.000562 \r\n",
       "L 304.688745 143.864619 \r\n",
       "L 308.519679 144.001361 \r\n",
       "L 311.392879 144.304905 \r\n",
       "L 314.266079 144.798677 \r\n",
       "L 317.139279 145.495756 \r\n",
       "L 320.012479 146.40346 \r\n",
       "L 322.88568 147.521251 \r\n",
       "L 325.75888 148.839263 \r\n",
       "L 329.589813 150.871966 \r\n",
       "L 334.37848 153.743676 \r\n",
       "L 345.871281 160.861775 \r\n",
       "L 349.702215 162.86319 \r\n",
       "L 352.575415 164.118904 \r\n",
       "L 355.448615 165.112511 \r\n",
       "L 358.321815 165.796232 \r\n",
       "L 360.237282 166.054749 \r\n",
       "L 362.152749 166.13647 \r\n",
       "L 364.068216 166.024168 \r\n",
       "L 365.983682 165.700347 \r\n",
       "L 367.899149 165.148541 \r\n",
       "L 369.814616 164.355646 \r\n",
       "L 371.730083 163.315428 \r\n",
       "L 373.645549 162.033053 \r\n",
       "L 375.561016 160.529961 \r\n",
       "L 378.434216 157.959324 \r\n",
       "L 383.222883 153.485767 \r\n",
       "L 385.13835 151.934306 \r\n",
       "L 387.053817 150.664881 \r\n",
       "L 389.927017 149.215522 \r\n",
       "L 390.884751 148.710009 \r\n",
       "L 391.842484 148.075952 \r\n",
       "L 392.800217 147.240987 \r\n",
       "L 393.757951 146.163119 \r\n",
       "L 394.715684 144.836199 \r\n",
       "L 396.631151 141.507929 \r\n",
       "L 398.546618 137.419844 \r\n",
       "L 400.462085 132.675143 \r\n",
       "L 402.377551 127.310031 \r\n",
       "L 404.293018 121.320642 \r\n",
       "L 406.208485 114.679775 \r\n",
       "L 408.123952 107.345003 \r\n",
       "L 410.039418 99.262356 \r\n",
       "L 411.954885 90.367841 \r\n",
       "L 413.870352 80.587891 \r\n",
       "L 415.785819 69.839213 \r\n",
       "L 417.701286 58.0283 \r\n",
       "L 417.701286 58.0283 \r\n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-dasharray:1,1.65;stroke-dashoffset:0;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_22\">\r\n",
       "    <path clip-path=\"url(#p099e324d2c)\" d=\"M 38.348518 289 \r\n",
       "L 39.396595 265.714765 \r\n",
       "L 41.312062 229.304577 \r\n",
       "L 43.227529 199.832765 \r\n",
       "L 44.185262 187.441557 \r\n",
       "L 45.142995 176.493443 \r\n",
       "L 46.100729 166.908404 \r\n",
       "L 47.058462 158.613205 \r\n",
       "L 48.016196 151.539365 \r\n",
       "L 48.973929 145.619876 \r\n",
       "L 49.931662 140.784584 \r\n",
       "L 50.889396 136.954858 \r\n",
       "L 51.847129 134.03907 \r\n",
       "L 52.804863 131.931098 \r\n",
       "L 53.762596 130.513387 \r\n",
       "L 54.720329 129.664152 \r\n",
       "L 55.678063 129.266235 \r\n",
       "L 56.635796 129.214607 \r\n",
       "L 57.593529 129.420736 \r\n",
       "L 58.551263 129.813719 \r\n",
       "L 60.46673 130.956464 \r\n",
       "L 63.33993 133.112428 \r\n",
       "L 68.128597 137.117871 \r\n",
       "L 71.95953 140.573636 \r\n",
       "L 75.790464 144.316674 \r\n",
       "L 79.621398 148.363677 \r\n",
       "L 84.410065 153.77848 \r\n",
       "L 90.156465 160.632506 \r\n",
       "L 96.860599 168.96945 \r\n",
       "L 103.564732 177.677563 \r\n",
       "L 110.268866 186.800379 \r\n",
       "L 118.888467 198.99283 \r\n",
       "L 128.465801 212.50143 \r\n",
       "L 133.254468 218.925154 \r\n",
       "L 138.043135 224.952753 \r\n",
       "L 141.874068 229.410933 \r\n",
       "L 145.705002 233.489102 \r\n",
       "L 148.578202 236.271336 \r\n",
       "L 151.451402 238.798634 \r\n",
       "L 154.324602 241.057309 \r\n",
       "L 157.197802 243.036055 \r\n",
       "L 160.071003 244.72601 \r\n",
       "L 162.944203 246.120854 \r\n",
       "L 165.817403 247.216902 \r\n",
       "L 168.690603 248.013198 \r\n",
       "L 171.563803 248.511565 \r\n",
       "L 174.437004 248.716616 \r\n",
       "L 177.310204 248.635684 \r\n",
       "L 180.183404 248.278697 \r\n",
       "L 183.056604 247.657964 \r\n",
       "L 185.929804 246.787912 \r\n",
       "L 188.803004 245.684759 \r\n",
       "L 191.676205 244.366153 \r\n",
       "L 195.507138 242.305297 \r\n",
       "L 199.338072 239.940794 \r\n",
       "L 203.169005 237.319362 \r\n",
       "L 207.957672 233.751351 \r\n",
       "L 213.704073 229.155691 \r\n",
       "L 221.36594 222.716801 \r\n",
       "L 237.647408 208.966718 \r\n",
       "L 244.351541 203.611515 \r\n",
       "L 251.055675 198.552338 \r\n",
       "L 256.802075 194.48189 \r\n",
       "L 262.548476 190.673811 \r\n",
       "L 268.294876 187.145049 \r\n",
       "L 273.083543 184.437704 \r\n",
       "L 277.87221 181.970469 \r\n",
       "L 282.660877 179.781794 \r\n",
       "L 286.491811 178.264578 \r\n",
       "L 290.322744 176.987041 \r\n",
       "L 294.153678 175.980786 \r\n",
       "L 297.026878 175.423071 \r\n",
       "L 299.900078 175.048009 \r\n",
       "L 302.773278 174.866515 \r\n",
       "L 305.646479 174.887497 \r\n",
       "L 308.519679 175.117362 \r\n",
       "L 311.392879 175.559596 \r\n",
       "L 314.266079 176.214442 \r\n",
       "L 317.139279 177.078647 \r\n",
       "L 320.012479 178.14527 \r\n",
       "L 322.88568 179.403493 \r\n",
       "L 326.716613 181.352798 \r\n",
       "L 330.547547 183.56823 \r\n",
       "L 335.336214 186.614364 \r\n",
       "L 346.829014 194.148482 \r\n",
       "L 350.659948 196.298512 \r\n",
       "L 353.533148 197.638172 \r\n",
       "L 356.406348 198.669925 \r\n",
       "L 358.321815 199.155329 \r\n",
       "L 360.237282 199.458964 \r\n",
       "L 362.152749 199.566403 \r\n",
       "L 364.068216 199.466259 \r\n",
       "L 365.983682 199.150845 \r\n",
       "L 367.899149 198.616742 \r\n",
       "L 369.814616 197.865238 \r\n",
       "L 371.730083 196.902627 \r\n",
       "L 373.645549 195.740363 \r\n",
       "L 376.51875 193.660692 \r\n",
       "L 379.39195 191.251154 \r\n",
       "L 388.01155 183.577871 \r\n",
       "L 389.927017 182.388704 \r\n",
       "L 390.884751 182.009721 \r\n",
       "L 391.842484 181.834936 \r\n",
       "L 392.800217 181.923041 \r\n",
       "L 393.757951 182.345072 \r\n",
       "L 394.715684 183.184958 \r\n",
       "L 395.673418 184.538748 \r\n",
       "L 396.631151 186.512127 \r\n",
       "L 397.588884 189.216377 \r\n",
       "L 398.546618 192.763569 \r\n",
       "L 399.504351 197.262379 \r\n",
       "L 400.462085 202.815729 \r\n",
       "L 401.419818 209.520763 \r\n",
       "L 402.377551 217.470726 \r\n",
       "L 403.335285 226.757833 \r\n",
       "L 404.293018 237.476218 \r\n",
       "L 405.250751 249.724431 \r\n",
       "L 406.208485 263.607301 \r\n",
       "L 407.700583 289 \r\n",
       "L 407.700583 289 \r\n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-dasharray:3.7,1.6;stroke-dashoffset:0;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_23\">\r\n",
       "    <path clip-path=\"url(#p099e324d2c)\" d=\"M 40.004608 -1 \r\n",
       "L 41.312062 12.679268 \r\n",
       "L 43.227529 29.668268 \r\n",
       "L 45.142995 43.476818 \r\n",
       "L 46.100729 49.26103 \r\n",
       "L 47.058462 54.329718 \r\n",
       "L 48.016196 58.704045 \r\n",
       "L 48.973929 62.406878 \r\n",
       "L 49.931662 65.467234 \r\n",
       "L 50.889396 67.925468 \r\n",
       "L 51.847129 69.837631 \r\n",
       "L 52.804863 71.276834 \r\n",
       "L 53.762596 72.330038 \r\n",
       "L 54.720329 73.090721 \r\n",
       "L 56.635796 74.088478 \r\n",
       "L 60.46673 75.734046 \r\n",
       "L 62.382196 76.882276 \r\n",
       "L 64.297663 78.328215 \r\n",
       "L 66.21313 80.03978 \r\n",
       "L 69.08633 82.978803 \r\n",
       "L 72.917264 87.288687 \r\n",
       "L 88.240998 105.17769 \r\n",
       "L 93.987398 112.193434 \r\n",
       "L 99.733799 119.595444 \r\n",
       "L 105.480199 127.367062 \r\n",
       "L 113.142066 138.129456 \r\n",
       "L 128.465801 159.783136 \r\n",
       "L 134.212201 167.43719 \r\n",
       "L 139.000868 173.395611 \r\n",
       "L 142.831802 177.800512 \r\n",
       "L 146.662735 181.820451 \r\n",
       "L 149.535935 184.551292 \r\n",
       "L 152.409135 187.01758 \r\n",
       "L 155.282336 189.20387 \r\n",
       "L 158.155536 191.098225 \r\n",
       "L 161.028736 192.692338 \r\n",
       "L 163.901936 193.981509 \r\n",
       "L 166.775136 194.964514 \r\n",
       "L 169.648337 195.643376 \r\n",
       "L 172.521537 196.023091 \r\n",
       "L 175.394737 196.111317 \r\n",
       "L 178.267937 195.91806 \r\n",
       "L 181.141137 195.455363 \r\n",
       "L 184.014337 194.737025 \r\n",
       "L 186.887538 193.778327 \r\n",
       "L 189.760738 192.595787 \r\n",
       "L 192.633938 191.206928 \r\n",
       "L 196.464872 189.065895 \r\n",
       "L 200.295805 186.635485 \r\n",
       "L 204.126739 183.961274 \r\n",
       "L 208.915406 180.344608 \r\n",
       "L 214.661806 175.714936 \r\n",
       "L 224.23914 167.637094 \r\n",
       "L 237.647408 156.353272 \r\n",
       "L 245.309275 150.209995 \r\n",
       "L 252.013408 145.116532 \r\n",
       "L 257.759809 141.004672 \r\n",
       "L 263.506209 137.167677 \r\n",
       "L 268.294876 134.211781 \r\n",
       "L 273.083543 131.505791 \r\n",
       "L 277.87221 129.080439 \r\n",
       "L 281.703144 127.364015 \r\n",
       "L 285.534077 125.865414 \r\n",
       "L 289.365011 124.602883 \r\n",
       "L 293.195944 123.595657 \r\n",
       "L 297.026878 122.864058 \r\n",
       "L 299.900078 122.508989 \r\n",
       "L 302.773278 122.32998 \r\n",
       "L 305.646479 122.335878 \r\n",
       "L 308.519679 122.534824 \r\n",
       "L 311.392879 122.933624 \r\n",
       "L 314.266079 123.53697 \r\n",
       "L 317.139279 124.346559 \r\n",
       "L 320.012479 125.360149 \r\n",
       "L 322.88568 126.57063 \r\n",
       "L 326.716613 128.467824 \r\n",
       "L 330.547547 130.643365 \r\n",
       "L 335.336214 133.646105 \r\n",
       "L 345.871281 140.435469 \r\n",
       "L 349.702215 142.580299 \r\n",
       "L 352.575415 143.941299 \r\n",
       "L 355.448615 145.024743 \r\n",
       "L 357.364082 145.564351 \r\n",
       "L 359.279549 145.938546 \r\n",
       "L 361.195015 146.131691 \r\n",
       "L 363.110482 146.129322 \r\n",
       "L 365.025949 145.918696 \r\n",
       "L 366.941416 145.489532 \r\n",
       "L 368.856883 144.835045 \r\n",
       "L 370.772349 143.953288 \r\n",
       "L 372.687816 142.848834 \r\n",
       "L 374.603283 141.534773 \r\n",
       "L 377.476483 139.226167 \r\n",
       "L 381.307417 135.748552 \r\n",
       "L 385.13835 132.309617 \r\n",
       "L 387.053817 130.817326 \r\n",
       "L 388.969284 129.58432 \r\n",
       "L 390.884751 128.651193 \r\n",
       "L 392.800217 127.981667 \r\n",
       "L 395.673418 127.088656 \r\n",
       "L 396.631151 126.665918 \r\n",
       "L 397.588884 126.101575 \r\n",
       "L 398.546618 125.350675 \r\n",
       "L 399.504351 124.376289 \r\n",
       "L 400.462085 123.152086 \r\n",
       "L 401.419818 121.662596 \r\n",
       "L 402.377551 119.901561 \r\n",
       "L 403.335285 117.869326 \r\n",
       "L 405.250751 113.009925 \r\n",
       "L 407.166218 107.129537 \r\n",
       "L 409.081685 100.262492 \r\n",
       "L 410.997152 92.417922 \r\n",
       "L 412.912619 83.578674 \r\n",
       "L 414.828085 73.704188 \r\n",
       "L 416.743552 62.733593 \r\n",
       "L 417.701286 56.813257 \r\n",
       "L 417.701286 56.813257 \r\n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-dasharray:3.7,1.6;stroke-dashoffset:0;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_24\">\r\n",
       "    <path clip-path=\"url(#p099e324d2c)\" d=\"M 35.565661 96.702599 \r\n",
       "L 39.396595 97.21538 \r\n",
       "L 43.227529 97.987435 \r\n",
       "L 47.058462 99.045556 \r\n",
       "L 49.931662 100.040592 \r\n",
       "L 52.804863 101.217131 \r\n",
       "L 55.678063 102.581512 \r\n",
       "L 58.551263 104.138536 \r\n",
       "L 61.424463 105.891435 \r\n",
       "L 65.255397 108.53593 \r\n",
       "L 69.08633 111.530831 \r\n",
       "L 72.917264 114.870536 \r\n",
       "L 76.748197 118.544456 \r\n",
       "L 80.579131 122.537144 \r\n",
       "L 84.410065 126.828481 \r\n",
       "L 89.198731 132.574839 \r\n",
       "L 93.987398 138.692268 \r\n",
       "L 99.733799 146.429648 \r\n",
       "L 107.395666 157.205427 \r\n",
       "L 124.634867 181.683595 \r\n",
       "L 130.381267 189.370036 \r\n",
       "L 135.169934 195.409012 \r\n",
       "L 139.000868 199.94156 \r\n",
       "L 142.831802 204.166397 \r\n",
       "L 146.662735 208.047612 \r\n",
       "L 150.493669 211.552668 \r\n",
       "L 153.366869 213.917153 \r\n",
       "L 156.240069 216.043156 \r\n",
       "L 159.113269 217.921429 \r\n",
       "L 161.986469 219.544161 \r\n",
       "L 164.85967 220.905038 \r\n",
       "L 167.73287 221.999282 \r\n",
       "L 170.60607 222.823686 \r\n",
       "L 173.47927 223.376634 \r\n",
       "L 176.35247 223.658114 \r\n",
       "L 179.225671 223.669718 \r\n",
       "L 182.098871 223.414627 \r\n",
       "L 184.972071 222.897596 \r\n",
       "L 187.845271 222.124918 \r\n",
       "L 190.718471 221.104378 \r\n",
       "L 193.591671 219.845205 \r\n",
       "L 196.464872 218.358007 \r\n",
       "L 199.338072 216.654697 \r\n",
       "L 203.169005 214.070317 \r\n",
       "L 206.999939 211.159462 \r\n",
       "L 210.830873 207.959538 \r\n",
       "L 215.619539 203.614463 \r\n",
       "L 220.408206 198.963668 \r\n",
       "L 227.11234 192.104969 \r\n",
       "L 244.351541 174.208914 \r\n",
       "L 250.097942 168.672139 \r\n",
       "L 254.886609 164.387834 \r\n",
       "L 258.717542 161.22428 \r\n",
       "L 262.548476 158.32772 \r\n",
       "L 266.379409 155.723807 \r\n",
       "L 270.210343 153.433845 \r\n",
       "L 274.041277 151.474521 \r\n",
       "L 276.914477 150.229338 \r\n",
       "L 279.787677 149.180103 \r\n",
       "L 282.660877 148.328408 \r\n",
       "L 285.534077 147.67424 \r\n",
       "L 288.407277 147.215983 \r\n",
       "L 291.280478 146.950431 \r\n",
       "L 294.153678 146.872805 \r\n",
       "L 297.026878 146.976792 \r\n",
       "L 299.900078 147.25458 \r\n",
       "L 303.731012 147.879136 \r\n",
       "L 307.561945 148.770367 \r\n",
       "L 311.392879 149.898532 \r\n",
       "L 316.181546 151.5907 \r\n",
       "L 320.970213 153.528288 \r\n",
       "L 327.674347 156.501911 \r\n",
       "L 340.124881 162.087122 \r\n",
       "L 344.913548 163.989901 \r\n",
       "L 348.744481 165.32034 \r\n",
       "L 352.575415 166.432912 \r\n",
       "L 356.406348 167.285806 \r\n",
       "L 359.279549 167.731228 \r\n",
       "L 362.152749 167.992711 \r\n",
       "L 365.025949 168.055641 \r\n",
       "L 367.899149 167.90651 \r\n",
       "L 370.772349 167.533004 \r\n",
       "L 373.645549 166.924093 \r\n",
       "L 376.51875 166.070103 \r\n",
       "L 379.39195 164.962781 \r\n",
       "L 382.26515 163.595355 \r\n",
       "L 385.13835 161.962578 \r\n",
       "L 388.01155 160.060765 \r\n",
       "L 390.884751 157.887816 \r\n",
       "L 393.757951 155.443233 \r\n",
       "L 396.631151 152.728124 \r\n",
       "L 399.504351 149.745189 \r\n",
       "L 402.377551 146.498712 \r\n",
       "L 406.208485 141.770414 \r\n",
       "L 410.039418 136.602104 \r\n",
       "L 413.870352 131.016299 \r\n",
       "L 417.701286 125.039791 \r\n",
       "L 417.701286 125.039791 \r\n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-opacity:0.85;stroke-width:1.4;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"PathCollection_1\">\r\n",
       "    <defs>\r\n",
       "     <path d=\"M 0 2 \r\n",
       "C 0.530406 2 1.03916 1.789267 1.414214 1.414214 \r\n",
       "C 1.789267 1.03916 2 0.530406 2 0 \r\n",
       "C 2 -0.530406 1.789267 -1.03916 1.414214 -1.414214 \r\n",
       "C 1.03916 -1.789267 0.530406 -2 0 -2 \r\n",
       "C -0.530406 -2 -1.03916 -1.789267 -1.414214 -1.414214 \r\n",
       "C -1.789267 -1.03916 -2 -0.530406 -2 0 \r\n",
       "C -2 0.530406 -1.789267 1.03916 -1.414214 1.414214 \r\n",
       "C -1.03916 1.789267 -0.530406 2 0 2 \r\n",
       "z\r\n",
       "\" id=\"m18721a11c4\" style=\"stroke:#0000ff;stroke-opacity:0.5;\"/>\r\n",
       "    </defs>\r\n",
       "    <g clip-path=\"url(#p099e324d2c)\">\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"65.877788\" xlink:href=\"#m18721a11c4\" y=\"128.864614\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"385.754195\" xlink:href=\"#m18721a11c4\" y=\"162.87189\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"363.386578\" xlink:href=\"#m18721a11c4\" y=\"189.421839\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"170.944314\" xlink:href=\"#m18721a11c4\" y=\"210.122256\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"149.26573\" xlink:href=\"#m18721a11c4\" y=\"223.58604\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"112.013839\" xlink:href=\"#m18721a11c4\" y=\"177.279955\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"217.142353\" xlink:href=\"#m18721a11c4\" y=\"202.031492\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"277.380478\" xlink:href=\"#m18721a11c4\" y=\"161.44598\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"218.073629\" xlink:href=\"#m18721a11c4\" y=\"198.618199\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"119.728903\" xlink:href=\"#m18721a11c4\" y=\"186.341104\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"140.154803\" xlink:href=\"#m18721a11c4\" y=\"194.814473\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"302.551038\" xlink:href=\"#m18721a11c4\" y=\"155.512425\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"203.237039\" xlink:href=\"#m18721a11c4\" y=\"191.181334\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"158.970998\" xlink:href=\"#m18721a11c4\" y=\"249.74084\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"216.532846\" xlink:href=\"#m18721a11c4\" y=\"194.214117\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"91.798013\" xlink:href=\"#m18721a11c4\" y=\"127.911782\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"345.63152\" xlink:href=\"#m18721a11c4\" y=\"166.908842\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"106.610686\" xlink:href=\"#m18721a11c4\" y=\"158.68115\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"340.071865\" xlink:href=\"#m18721a11c4\" y=\"159.677826\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"171.777509\" xlink:href=\"#m18721a11c4\" y=\"214.739103\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"68.186704\" xlink:href=\"#m18721a11c4\" y=\"106.789808\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"182.811915\" xlink:href=\"#m18721a11c4\" y=\"219.002492\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"133.603607\" xlink:href=\"#m18721a11c4\" y=\"199.79406\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"222.687299\" xlink:href=\"#m18721a11c4\" y=\"209.486267\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"342.092224\" xlink:href=\"#m18721a11c4\" y=\"186.110501\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"213.504217\" xlink:href=\"#m18721a11c4\" y=\"214.323649\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"305.560506\" xlink:href=\"#m18721a11c4\" y=\"148.305081\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"331.885626\" xlink:href=\"#m18721a11c4\" y=\"157.9963\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"387.104748\" xlink:href=\"#m18721a11c4\" y=\"175.368535\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"224.760247\" xlink:href=\"#m18721a11c4\" y=\"174.101658\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"236.772833\" xlink:href=\"#m18721a11c4\" y=\"188.133788\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"170.222657\" xlink:href=\"#m18721a11c4\" y=\"216.956386\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"168.81287\" xlink:href=\"#m18721a11c4\" y=\"220.11114\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"324.295851\" xlink:href=\"#m18721a11c4\" y=\"141.967761\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"296.946818\" xlink:href=\"#m18721a11c4\" y=\"160.437889\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"387.915112\" xlink:href=\"#m18721a11c4\" y=\"132.467388\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"391.583578\" xlink:href=\"#m18721a11c4\" y=\"150.07075\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"106.305114\" xlink:href=\"#m18721a11c4\" y=\"145.952528\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"55.146197\" xlink:href=\"#m18721a11c4\" y=\"99.82323\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"162.881418\" xlink:href=\"#m18721a11c4\" y=\"222.749423\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"167.830516\" xlink:href=\"#m18721a11c4\" y=\"211.806073\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"118.53934\" xlink:href=\"#m18721a11c4\" y=\"183.496434\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"387.446031\" xlink:href=\"#m18721a11c4\" y=\"147.25115\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"312.473985\" xlink:href=\"#m18721a11c4\" y=\"133.084592\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"301.461431\" xlink:href=\"#m18721a11c4\" y=\"139.169559\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"262.753901\" xlink:href=\"#m18721a11c4\" y=\"160.597034\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"80.862844\" xlink:href=\"#m18721a11c4\" y=\"107.260169\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"79.153399\" xlink:href=\"#m18721a11c4\" y=\"128.137738\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"320.984081\" xlink:href=\"#m18721a11c4\" y=\"146.666698\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"372.135525\" xlink:href=\"#m18721a11c4\" y=\"168.455928\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"195.103833\" xlink:href=\"#m18721a11c4\" y=\"232.495062\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"340.321854\" xlink:href=\"#m18721a11c4\" y=\"141.558485\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"287.648872\" xlink:href=\"#m18721a11c4\" y=\"154.739972\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"238.907654\" xlink:href=\"#m18721a11c4\" y=\"162.499167\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"237.963291\" xlink:href=\"#m18721a11c4\" y=\"174.091917\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"191.223436\" xlink:href=\"#m18721a11c4\" y=\"226.078525\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"388.217687\" xlink:href=\"#m18721a11c4\" y=\"159.606145\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"277.706381\" xlink:href=\"#m18721a11c4\" y=\"132.994984\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"55.148481\" xlink:href=\"#m18721a11c4\" y=\"90.338974\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"227.62978\" xlink:href=\"#m18721a11c4\" y=\"202.650574\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"300.821568\" xlink:href=\"#m18721a11c4\" y=\"157.877526\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"318.896911\" xlink:href=\"#m18721a11c4\" y=\"132.110588\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"248.143903\" xlink:href=\"#m18721a11c4\" y=\"164.227817\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"53.11484\" xlink:href=\"#m18721a11c4\" y=\"121.271616\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"343.004828\" xlink:href=\"#m18721a11c4\" y=\"164.077877\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"78.88015\" xlink:href=\"#m18721a11c4\" y=\"136.922774\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"311.673963\" xlink:href=\"#m18721a11c4\" y=\"124.300171\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"292.315144\" xlink:href=\"#m18721a11c4\" y=\"152.651406\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"204.166735\" xlink:href=\"#m18721a11c4\" y=\"204.173419\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"122.837909\" xlink:href=\"#m18721a11c4\" y=\"169.693486\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"325.48225\" xlink:href=\"#m18721a11c4\" y=\"160.718347\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"221.543223\" xlink:href=\"#m18721a11c4\" y=\"191.450742\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"159.683165\" xlink:href=\"#m18721a11c4\" y=\"204.419091\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"311.238456\" xlink:href=\"#m18721a11c4\" y=\"142.479682\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"230.421849\" xlink:href=\"#m18721a11c4\" y=\"191.499692\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"83.233258\" xlink:href=\"#m18721a11c4\" y=\"109.065874\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"361.767451\" xlink:href=\"#m18721a11c4\" y=\"182.223403\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"310.714048\" xlink:href=\"#m18721a11c4\" y=\"147.292382\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"162.074768\" xlink:href=\"#m18721a11c4\" y=\"224.886522\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"290.498922\" xlink:href=\"#m18721a11c4\" y=\"152.686316\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"392.346223\" xlink:href=\"#m18721a11c4\" y=\"140.221993\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"215.960395\" xlink:href=\"#m18721a11c4\" y=\"192.590433\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"162.865439\" xlink:href=\"#m18721a11c4\" y=\"241.849819\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"105.446479\" xlink:href=\"#m18721a11c4\" y=\"164.198456\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"119.333418\" xlink:href=\"#m18721a11c4\" y=\"187.670483\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"278.455198\" xlink:href=\"#m18721a11c4\" y=\"157.924181\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"294.845072\" xlink:href=\"#m18721a11c4\" y=\"136.705953\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"389.595506\" xlink:href=\"#m18721a11c4\" y=\"157.33456\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"137.610723\" xlink:href=\"#m18721a11c4\" y=\"184.685646\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"364.929438\" xlink:href=\"#m18721a11c4\" y=\"195.249264\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"133.381337\" xlink:href=\"#m18721a11c4\" y=\"172.46159\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"221.261921\" xlink:href=\"#m18721a11c4\" y=\"218.219344\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"374.349921\" xlink:href=\"#m18721a11c4\" y=\"171.525372\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"162.573118\" xlink:href=\"#m18721a11c4\" y=\"211.278085\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"91.051934\" xlink:href=\"#m18721a11c4\" y=\"138.042237\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"56.096439\" xlink:href=\"#m18721a11c4\" y=\"119.820784\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"310.649558\" xlink:href=\"#m18721a11c4\" y=\"168.128951\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"238.445129\" xlink:href=\"#m18721a11c4\" y=\"182.436791\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"61.942345\" xlink:href=\"#m18721a11c4\" y=\"97.830841\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"183.101392\" xlink:href=\"#m18721a11c4\" y=\"230.695742\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"175.308339\" xlink:href=\"#m18721a11c4\" y=\"213.495686\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"300.925248\" xlink:href=\"#m18721a11c4\" y=\"146.207434\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"367.776977\" xlink:href=\"#m18721a11c4\" y=\"179.716322\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"119.007809\" xlink:href=\"#m18721a11c4\" y=\"177.907496\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"71.278788\" xlink:href=\"#m18721a11c4\" y=\"103.413366\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"122.63623\" xlink:href=\"#m18721a11c4\" y=\"168.900174\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"124.036636\" xlink:href=\"#m18721a11c4\" y=\"180.176089\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"185.320419\" xlink:href=\"#m18721a11c4\" y=\"208.39827\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"283.61305\" xlink:href=\"#m18721a11c4\" y=\"164.661914\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"349.957689\" xlink:href=\"#m18721a11c4\" y=\"171.521952\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"94.60315\" xlink:href=\"#m18721a11c4\" y=\"146.830491\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"324.56411\" xlink:href=\"#m18721a11c4\" y=\"137.318434\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"92.416973\" xlink:href=\"#m18721a11c4\" y=\"104.040658\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"55.092065\" xlink:href=\"#m18721a11c4\" y=\"69.902722\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"161.734441\" xlink:href=\"#m18721a11c4\" y=\"237.853879\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"163.085631\" xlink:href=\"#m18721a11c4\" y=\"215.010025\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"124.218779\" xlink:href=\"#m18721a11c4\" y=\"172.537026\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"188.278571\" xlink:href=\"#m18721a11c4\" y=\"214.783539\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"234.36314\" xlink:href=\"#m18721a11c4\" y=\"185.999097\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"98.143022\" xlink:href=\"#m18721a11c4\" y=\"148.827401\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"220.518902\" xlink:href=\"#m18721a11c4\" y=\"200.789153\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"77.564202\" xlink:href=\"#m18721a11c4\" y=\"128.755566\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"233.543775\" xlink:href=\"#m18721a11c4\" y=\"181.280674\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"136.231216\" xlink:href=\"#m18721a11c4\" y=\"185.425944\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"134.786691\" xlink:href=\"#m18721a11c4\" y=\"186.041653\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"327.17703\" xlink:href=\"#m18721a11c4\" y=\"201.07059\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"259.582453\" xlink:href=\"#m18721a11c4\" y=\"167.135509\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"271.08388\" xlink:href=\"#m18721a11c4\" y=\"152.43542\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"393.082741\" xlink:href=\"#m18721a11c4\" y=\"146.748652\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"108.43574\" xlink:href=\"#m18721a11c4\" y=\"156.227723\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"276.963001\" xlink:href=\"#m18721a11c4\" y=\"164.671815\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"374.747664\" xlink:href=\"#m18721a11c4\" y=\"159.001383\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"177.656737\" xlink:href=\"#m18721a11c4\" y=\"237.602131\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"229.016092\" xlink:href=\"#m18721a11c4\" y=\"196.070752\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"142.129124\" xlink:href=\"#m18721a11c4\" y=\"230.525626\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"325.213752\" xlink:href=\"#m18721a11c4\" y=\"172.132353\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"156.711608\" xlink:href=\"#m18721a11c4\" y=\"215.500229\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"122.084283\" xlink:href=\"#m18721a11c4\" y=\"199.091288\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"325.84451\" xlink:href=\"#m18721a11c4\" y=\"143.132813\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"353.138792\" xlink:href=\"#m18721a11c4\" y=\"173.686549\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"173.923682\" xlink:href=\"#m18721a11c4\" y=\"218.53317\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"305.790846\" xlink:href=\"#m18721a11c4\" y=\"171.719475\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"361.172353\" xlink:href=\"#m18721a11c4\" y=\"164.290833\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"142.707967\" xlink:href=\"#m18721a11c4\" y=\"190.424744\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"306.883444\" xlink:href=\"#m18721a11c4\" y=\"162.901025\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"105.15884\" xlink:href=\"#m18721a11c4\" y=\"136.980803\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"101.046524\" xlink:href=\"#m18721a11c4\" y=\"155.266703\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"84.953949\" xlink:href=\"#m18721a11c4\" y=\"122.000267\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"391.759089\" xlink:href=\"#m18721a11c4\" y=\"171.984878\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"203.698186\" xlink:href=\"#m18721a11c4\" y=\"227.239188\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"257.98879\" xlink:href=\"#m18721a11c4\" y=\"168.374369\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"191.46248\" xlink:href=\"#m18721a11c4\" y=\"219.049189\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"380.28429\" xlink:href=\"#m18721a11c4\" y=\"160.789241\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"131.599727\" xlink:href=\"#m18721a11c4\" y=\"189.39896\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"389.532131\" xlink:href=\"#m18721a11c4\" y=\"160.509032\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"263.534848\" xlink:href=\"#m18721a11c4\" y=\"148.597512\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"258.799228\" xlink:href=\"#m18721a11c4\" y=\"180.577946\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"191.493169\" xlink:href=\"#m18721a11c4\" y=\"229.628954\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"107.793946\" xlink:href=\"#m18721a11c4\" y=\"156.22054\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"97.611387\" xlink:href=\"#m18721a11c4\" y=\"152.032922\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"300.2735\" xlink:href=\"#m18721a11c4\" y=\"145.718739\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"389.434725\" xlink:href=\"#m18721a11c4\" y=\"183.115417\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"349.438477\" xlink:href=\"#m18721a11c4\" y=\"133.821657\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"397.793149\" xlink:href=\"#m18721a11c4\" y=\"152.889712\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"136.506199\" xlink:href=\"#m18721a11c4\" y=\"190.699559\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"246.256915\" xlink:href=\"#m18721a11c4\" y=\"178.442856\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"371.745388\" xlink:href=\"#m18721a11c4\" y=\"151.133077\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"178.24882\" xlink:href=\"#m18721a11c4\" y=\"216.345733\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"150.978546\" xlink:href=\"#m18721a11c4\" y=\"195.643959\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"315.674104\" xlink:href=\"#m18721a11c4\" y=\"149.44977\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"355.209117\" xlink:href=\"#m18721a11c4\" y=\"157.886441\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"287.647716\" xlink:href=\"#m18721a11c4\" y=\"151.129052\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"389.974003\" xlink:href=\"#m18721a11c4\" y=\"151.973042\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"248.62931\" xlink:href=\"#m18721a11c4\" y=\"181.374681\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"157.197556\" xlink:href=\"#m18721a11c4\" y=\"206.454574\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"277.658023\" xlink:href=\"#m18721a11c4\" y=\"172.180131\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"73.022882\" xlink:href=\"#m18721a11c4\" y=\"122.41971\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"222.245167\" xlink:href=\"#m18721a11c4\" y=\"184.532295\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"360.396165\" xlink:href=\"#m18721a11c4\" y=\"167.866456\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"84.37991\" xlink:href=\"#m18721a11c4\" y=\"129.225701\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"176.910098\" xlink:href=\"#m18721a11c4\" y=\"220.686781\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"76.155268\" xlink:href=\"#m18721a11c4\" y=\"112.328823\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"124.042455\" xlink:href=\"#m18721a11c4\" y=\"191.543148\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"238.597119\" xlink:href=\"#m18721a11c4\" y=\"166.279083\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"250.346032\" xlink:href=\"#m18721a11c4\" y=\"158.84947\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"383.166591\" xlink:href=\"#m18721a11c4\" y=\"141.833908\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"291.787611\" xlink:href=\"#m18721a11c4\" y=\"140.27951\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"302.896633\" xlink:href=\"#m18721a11c4\" y=\"150.916971\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"175.519331\" xlink:href=\"#m18721a11c4\" y=\"213.341586\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"326.753467\" xlink:href=\"#m18721a11c4\" y=\"148.790349\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"239.936311\" xlink:href=\"#m18721a11c4\" y=\"196.84721\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"357.742963\" xlink:href=\"#m18721a11c4\" y=\"201.296638\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"92.054053\" xlink:href=\"#m18721a11c4\" y=\"128.071785\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"222.417092\" xlink:href=\"#m18721a11c4\" y=\"201.323508\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"125.081441\" xlink:href=\"#m18721a11c4\" y=\"186.623143\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"117.350008\" xlink:href=\"#m18721a11c4\" y=\"158.316121\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"81.729874\" xlink:href=\"#m18721a11c4\" y=\"138.722902\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"293.36902\" xlink:href=\"#m18721a11c4\" y=\"153.622354\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"154.571058\" xlink:href=\"#m18721a11c4\" y=\"217.163923\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"394.974712\" xlink:href=\"#m18721a11c4\" y=\"167.682491\"/>\r\n",
       "    </g>\r\n",
       "   </g>\r\n",
       "   <g id=\"legend_1\">\r\n",
       "    <g id=\"patch_5\">\r\n",
       "     <path d=\"M 176.844099 74.347146 \r\n",
       "L 276.422849 74.347146 \r\n",
       "L 276.422849 6.834646 \r\n",
       "L 176.844099 6.834646 \r\n",
       "z\r\n",
       "\" style=\"fill:#ffffff;stroke:#000000;stroke-linejoin:miter;\"/>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_25\">\r\n",
       "     <path d=\"M 183.244099 16.513396 \r\n",
       "L 199.244099 16.513396 \r\n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linejoin:miter;\"/>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_26\"/>\r\n",
       "    <g id=\"text_10\">\r\n",
       "     <!-- fitting curve -->\r\n",
       "     <defs>\r\n",
       "      <path d=\"M 37.109375 75.984375 \r\n",
       "L 37.109375 68.5 \r\n",
       "L 28.515625 68.5 \r\n",
       "Q 23.6875 68.5 21.796875 66.546875 \r\n",
       "Q 19.921875 64.59375 19.921875 59.515625 \r\n",
       "L 19.921875 54.6875 \r\n",
       "L 34.71875 54.6875 \r\n",
       "L 34.71875 47.703125 \r\n",
       "L 19.921875 47.703125 \r\n",
       "L 19.921875 0 \r\n",
       "L 10.890625 0 \r\n",
       "L 10.890625 47.703125 \r\n",
       "L 2.296875 47.703125 \r\n",
       "L 2.296875 54.6875 \r\n",
       "L 10.890625 54.6875 \r\n",
       "L 10.890625 58.5 \r\n",
       "Q 10.890625 67.625 15.140625 71.796875 \r\n",
       "Q 19.390625 75.984375 28.609375 75.984375 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-102\"/>\r\n",
       "      <path d=\"M 9.421875 54.6875 \r\n",
       "L 18.40625 54.6875 \r\n",
       "L 18.40625 0 \r\n",
       "L 9.421875 0 \r\n",
       "z\r\n",
       "M 9.421875 75.984375 \r\n",
       "L 18.40625 75.984375 \r\n",
       "L 18.40625 64.59375 \r\n",
       "L 9.421875 64.59375 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-105\"/>\r\n",
       "      <path d=\"M 18.3125 70.21875 \r\n",
       "L 18.3125 54.6875 \r\n",
       "L 36.8125 54.6875 \r\n",
       "L 36.8125 47.703125 \r\n",
       "L 18.3125 47.703125 \r\n",
       "L 18.3125 18.015625 \r\n",
       "Q 18.3125 11.328125 20.140625 9.421875 \r\n",
       "Q 21.96875 7.515625 27.59375 7.515625 \r\n",
       "L 36.8125 7.515625 \r\n",
       "L 36.8125 0 \r\n",
       "L 27.59375 0 \r\n",
       "Q 17.1875 0 13.234375 3.875 \r\n",
       "Q 9.28125 7.765625 9.28125 18.015625 \r\n",
       "L 9.28125 47.703125 \r\n",
       "L 2.6875 47.703125 \r\n",
       "L 2.6875 54.6875 \r\n",
       "L 9.28125 54.6875 \r\n",
       "L 9.28125 70.21875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-116\"/>\r\n",
       "      <path d=\"M 54.890625 33.015625 \r\n",
       "L 54.890625 0 \r\n",
       "L 45.90625 0 \r\n",
       "L 45.90625 32.71875 \r\n",
       "Q 45.90625 40.484375 42.875 44.328125 \r\n",
       "Q 39.84375 48.1875 33.796875 48.1875 \r\n",
       "Q 26.515625 48.1875 22.3125 43.546875 \r\n",
       "Q 18.109375 38.921875 18.109375 30.90625 \r\n",
       "L 18.109375 0 \r\n",
       "L 9.078125 0 \r\n",
       "L 9.078125 54.6875 \r\n",
       "L 18.109375 54.6875 \r\n",
       "L 18.109375 46.1875 \r\n",
       "Q 21.34375 51.125 25.703125 53.5625 \r\n",
       "Q 30.078125 56 35.796875 56 \r\n",
       "Q 45.21875 56 50.046875 50.171875 \r\n",
       "Q 54.890625 44.34375 54.890625 33.015625 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-110\"/>\r\n",
       "      <path d=\"M 45.40625 27.984375 \r\n",
       "Q 45.40625 37.75 41.375 43.109375 \r\n",
       "Q 37.359375 48.484375 30.078125 48.484375 \r\n",
       "Q 22.859375 48.484375 18.828125 43.109375 \r\n",
       "Q 14.796875 37.75 14.796875 27.984375 \r\n",
       "Q 14.796875 18.265625 18.828125 12.890625 \r\n",
       "Q 22.859375 7.515625 30.078125 7.515625 \r\n",
       "Q 37.359375 7.515625 41.375 12.890625 \r\n",
       "Q 45.40625 18.265625 45.40625 27.984375 \r\n",
       "z\r\n",
       "M 54.390625 6.78125 \r\n",
       "Q 54.390625 -7.171875 48.1875 -13.984375 \r\n",
       "Q 42 -20.796875 29.203125 -20.796875 \r\n",
       "Q 24.46875 -20.796875 20.265625 -20.09375 \r\n",
       "Q 16.0625 -19.390625 12.109375 -17.921875 \r\n",
       "L 12.109375 -9.1875 \r\n",
       "Q 16.0625 -11.328125 19.921875 -12.34375 \r\n",
       "Q 23.78125 -13.375 27.78125 -13.375 \r\n",
       "Q 36.625 -13.375 41.015625 -8.765625 \r\n",
       "Q 45.40625 -4.15625 45.40625 5.171875 \r\n",
       "L 45.40625 9.625 \r\n",
       "Q 42.625 4.78125 38.28125 2.390625 \r\n",
       "Q 33.9375 0 27.875 0 \r\n",
       "Q 17.828125 0 11.671875 7.65625 \r\n",
       "Q 5.515625 15.328125 5.515625 27.984375 \r\n",
       "Q 5.515625 40.671875 11.671875 48.328125 \r\n",
       "Q 17.828125 56 27.875 56 \r\n",
       "Q 33.9375 56 38.28125 53.609375 \r\n",
       "Q 42.625 51.21875 45.40625 46.390625 \r\n",
       "L 45.40625 54.6875 \r\n",
       "L 54.390625 54.6875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-103\"/>\r\n",
       "      <path id=\"DejaVuSans-32\"/>\r\n",
       "      <path d=\"M 48.78125 52.59375 \r\n",
       "L 48.78125 44.1875 \r\n",
       "Q 44.96875 46.296875 41.140625 47.34375 \r\n",
       "Q 37.3125 48.390625 33.40625 48.390625 \r\n",
       "Q 24.65625 48.390625 19.8125 42.84375 \r\n",
       "Q 14.984375 37.3125 14.984375 27.296875 \r\n",
       "Q 14.984375 17.28125 19.8125 11.734375 \r\n",
       "Q 24.65625 6.203125 33.40625 6.203125 \r\n",
       "Q 37.3125 6.203125 41.140625 7.25 \r\n",
       "Q 44.96875 8.296875 48.78125 10.40625 \r\n",
       "L 48.78125 2.09375 \r\n",
       "Q 45.015625 0.34375 40.984375 -0.53125 \r\n",
       "Q 36.96875 -1.421875 32.421875 -1.421875 \r\n",
       "Q 20.0625 -1.421875 12.78125 6.34375 \r\n",
       "Q 5.515625 14.109375 5.515625 27.296875 \r\n",
       "Q 5.515625 40.671875 12.859375 48.328125 \r\n",
       "Q 20.21875 56 33.015625 56 \r\n",
       "Q 37.15625 56 41.109375 55.140625 \r\n",
       "Q 45.0625 54.296875 48.78125 52.59375 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-99\"/>\r\n",
       "      <path d=\"M 8.5 21.578125 \r\n",
       "L 8.5 54.6875 \r\n",
       "L 17.484375 54.6875 \r\n",
       "L 17.484375 21.921875 \r\n",
       "Q 17.484375 14.15625 20.5 10.265625 \r\n",
       "Q 23.53125 6.390625 29.59375 6.390625 \r\n",
       "Q 36.859375 6.390625 41.078125 11.03125 \r\n",
       "Q 45.3125 15.671875 45.3125 23.6875 \r\n",
       "L 45.3125 54.6875 \r\n",
       "L 54.296875 54.6875 \r\n",
       "L 54.296875 0 \r\n",
       "L 45.3125 0 \r\n",
       "L 45.3125 8.40625 \r\n",
       "Q 42.046875 3.421875 37.71875 1 \r\n",
       "Q 33.40625 -1.421875 27.6875 -1.421875 \r\n",
       "Q 18.265625 -1.421875 13.375 4.4375 \r\n",
       "Q 8.5 10.296875 8.5 21.578125 \r\n",
       "z\r\n",
       "M 31.109375 56 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-117\"/>\r\n",
       "      <path d=\"M 41.109375 46.296875 \r\n",
       "Q 39.59375 47.171875 37.8125 47.578125 \r\n",
       "Q 36.03125 48 33.890625 48 \r\n",
       "Q 26.265625 48 22.1875 43.046875 \r\n",
       "Q 18.109375 38.09375 18.109375 28.8125 \r\n",
       "L 18.109375 0 \r\n",
       "L 9.078125 0 \r\n",
       "L 9.078125 54.6875 \r\n",
       "L 18.109375 54.6875 \r\n",
       "L 18.109375 46.1875 \r\n",
       "Q 20.953125 51.171875 25.484375 53.578125 \r\n",
       "Q 30.03125 56 36.53125 56 \r\n",
       "Q 37.453125 56 38.578125 55.875 \r\n",
       "Q 39.703125 55.765625 41.0625 55.515625 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-114\"/>\r\n",
       "      <path d=\"M 2.984375 54.6875 \r\n",
       "L 12.5 54.6875 \r\n",
       "L 29.59375 8.796875 \r\n",
       "L 46.6875 54.6875 \r\n",
       "L 56.203125 54.6875 \r\n",
       "L 35.6875 0 \r\n",
       "L 23.484375 0 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-118\"/>\r\n",
       "      <path d=\"M 56.203125 29.59375 \r\n",
       "L 56.203125 25.203125 \r\n",
       "L 14.890625 25.203125 \r\n",
       "Q 15.484375 15.921875 20.484375 11.0625 \r\n",
       "Q 25.484375 6.203125 34.421875 6.203125 \r\n",
       "Q 39.59375 6.203125 44.453125 7.46875 \r\n",
       "Q 49.3125 8.734375 54.109375 11.28125 \r\n",
       "L 54.109375 2.78125 \r\n",
       "Q 49.265625 0.734375 44.1875 -0.34375 \r\n",
       "Q 39.109375 -1.421875 33.890625 -1.421875 \r\n",
       "Q 20.796875 -1.421875 13.15625 6.1875 \r\n",
       "Q 5.515625 13.8125 5.515625 26.8125 \r\n",
       "Q 5.515625 40.234375 12.765625 48.109375 \r\n",
       "Q 20.015625 56 32.328125 56 \r\n",
       "Q 43.359375 56 49.78125 48.890625 \r\n",
       "Q 56.203125 41.796875 56.203125 29.59375 \r\n",
       "z\r\n",
       "M 47.21875 32.234375 \r\n",
       "Q 47.125 39.59375 43.09375 43.984375 \r\n",
       "Q 39.0625 48.390625 32.421875 48.390625 \r\n",
       "Q 24.90625 48.390625 20.390625 44.140625 \r\n",
       "Q 15.875 39.890625 15.1875 32.171875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-101\"/>\r\n",
       "     </defs>\r\n",
       "     <g transform=\"translate(205.644099 19.313396)scale(0.08 -0.08)\">\r\n",
       "      <use xlink:href=\"#DejaVuSans-102\"/>\r\n",
       "      <use x=\"35.205078\" xlink:href=\"#DejaVuSans-105\"/>\r\n",
       "      <use x=\"62.988281\" xlink:href=\"#DejaVuSans-116\"/>\r\n",
       "      <use x=\"102.197266\" xlink:href=\"#DejaVuSans-116\"/>\r\n",
       "      <use x=\"141.40625\" xlink:href=\"#DejaVuSans-105\"/>\r\n",
       "      <use x=\"169.189453\" xlink:href=\"#DejaVuSans-110\"/>\r\n",
       "      <use x=\"232.568359\" xlink:href=\"#DejaVuSans-103\"/>\r\n",
       "      <use x=\"296.044922\" xlink:href=\"#DejaVuSans-32\"/>\r\n",
       "      <use x=\"327.832031\" xlink:href=\"#DejaVuSans-99\"/>\r\n",
       "      <use x=\"382.8125\" xlink:href=\"#DejaVuSans-117\"/>\r\n",
       "      <use x=\"446.191406\" xlink:href=\"#DejaVuSans-114\"/>\r\n",
       "      <use x=\"487.304688\" xlink:href=\"#DejaVuSans-118\"/>\r\n",
       "      <use x=\"546.484375\" xlink:href=\"#DejaVuSans-101\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_27\">\r\n",
       "     <path d=\"M 183.244099 28.255896 \r\n",
       "L 199.244099 28.255896 \r\n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-dasharray:1,1.65;stroke-dashoffset:0;stroke-linejoin:miter;\"/>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_28\"/>\r\n",
       "    <g id=\"text_11\">\r\n",
       "     <!-- 95.0% conf. int. -->\r\n",
       "     <defs>\r\n",
       "      <path d=\"M 10.984375 1.515625 \r\n",
       "L 10.984375 10.5 \r\n",
       "Q 14.703125 8.734375 18.5 7.8125 \r\n",
       "Q 22.3125 6.890625 25.984375 6.890625 \r\n",
       "Q 35.75 6.890625 40.890625 13.453125 \r\n",
       "Q 46.046875 20.015625 46.78125 33.40625 \r\n",
       "Q 43.953125 29.203125 39.59375 26.953125 \r\n",
       "Q 35.25 24.703125 29.984375 24.703125 \r\n",
       "Q 19.046875 24.703125 12.671875 31.3125 \r\n",
       "Q 6.296875 37.9375 6.296875 49.421875 \r\n",
       "Q 6.296875 60.640625 12.9375 67.421875 \r\n",
       "Q 19.578125 74.21875 30.609375 74.21875 \r\n",
       "Q 43.265625 74.21875 49.921875 64.515625 \r\n",
       "Q 56.59375 54.828125 56.59375 36.375 \r\n",
       "Q 56.59375 19.140625 48.40625 8.859375 \r\n",
       "Q 40.234375 -1.421875 26.421875 -1.421875 \r\n",
       "Q 22.703125 -1.421875 18.890625 -0.6875 \r\n",
       "Q 15.09375 0.046875 10.984375 1.515625 \r\n",
       "z\r\n",
       "M 30.609375 32.421875 \r\n",
       "Q 37.25 32.421875 41.125 36.953125 \r\n",
       "Q 45.015625 41.5 45.015625 49.421875 \r\n",
       "Q 45.015625 57.28125 41.125 61.84375 \r\n",
       "Q 37.25 66.40625 30.609375 66.40625 \r\n",
       "Q 23.96875 66.40625 20.09375 61.84375 \r\n",
       "Q 16.21875 57.28125 16.21875 49.421875 \r\n",
       "Q 16.21875 41.5 20.09375 36.953125 \r\n",
       "Q 23.96875 32.421875 30.609375 32.421875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-57\"/>\r\n",
       "      <path d=\"M 10.796875 72.90625 \r\n",
       "L 49.515625 72.90625 \r\n",
       "L 49.515625 64.59375 \r\n",
       "L 19.828125 64.59375 \r\n",
       "L 19.828125 46.734375 \r\n",
       "Q 21.96875 47.46875 24.109375 47.828125 \r\n",
       "Q 26.265625 48.1875 28.421875 48.1875 \r\n",
       "Q 40.625 48.1875 47.75 41.5 \r\n",
       "Q 54.890625 34.8125 54.890625 23.390625 \r\n",
       "Q 54.890625 11.625 47.5625 5.09375 \r\n",
       "Q 40.234375 -1.421875 26.90625 -1.421875 \r\n",
       "Q 22.3125 -1.421875 17.546875 -0.640625 \r\n",
       "Q 12.796875 0.140625 7.71875 1.703125 \r\n",
       "L 7.71875 11.625 \r\n",
       "Q 12.109375 9.234375 16.796875 8.0625 \r\n",
       "Q 21.484375 6.890625 26.703125 6.890625 \r\n",
       "Q 35.15625 6.890625 40.078125 11.328125 \r\n",
       "Q 45.015625 15.765625 45.015625 23.390625 \r\n",
       "Q 45.015625 31 40.078125 35.4375 \r\n",
       "Q 35.15625 39.890625 26.703125 39.890625 \r\n",
       "Q 22.75 39.890625 18.8125 39.015625 \r\n",
       "Q 14.890625 38.140625 10.796875 36.28125 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-53\"/>\r\n",
       "      <path d=\"M 10.6875 12.40625 \r\n",
       "L 21 12.40625 \r\n",
       "L 21 0 \r\n",
       "L 10.6875 0 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-46\"/>\r\n",
       "      <path d=\"M 72.703125 32.078125 \r\n",
       "Q 68.453125 32.078125 66.03125 28.46875 \r\n",
       "Q 63.625 24.859375 63.625 18.40625 \r\n",
       "Q 63.625 12.0625 66.03125 8.421875 \r\n",
       "Q 68.453125 4.78125 72.703125 4.78125 \r\n",
       "Q 76.859375 4.78125 79.265625 8.421875 \r\n",
       "Q 81.6875 12.0625 81.6875 18.40625 \r\n",
       "Q 81.6875 24.8125 79.265625 28.4375 \r\n",
       "Q 76.859375 32.078125 72.703125 32.078125 \r\n",
       "z\r\n",
       "M 72.703125 38.28125 \r\n",
       "Q 80.421875 38.28125 84.953125 32.90625 \r\n",
       "Q 89.5 27.546875 89.5 18.40625 \r\n",
       "Q 89.5 9.28125 84.9375 3.921875 \r\n",
       "Q 80.375 -1.421875 72.703125 -1.421875 \r\n",
       "Q 64.890625 -1.421875 60.34375 3.921875 \r\n",
       "Q 55.8125 9.28125 55.8125 18.40625 \r\n",
       "Q 55.8125 27.59375 60.375 32.9375 \r\n",
       "Q 64.9375 38.28125 72.703125 38.28125 \r\n",
       "z\r\n",
       "M 22.3125 68.015625 \r\n",
       "Q 18.109375 68.015625 15.6875 64.375 \r\n",
       "Q 13.28125 60.75 13.28125 54.390625 \r\n",
       "Q 13.28125 47.953125 15.671875 44.328125 \r\n",
       "Q 18.0625 40.71875 22.3125 40.71875 \r\n",
       "Q 26.5625 40.71875 28.96875 44.328125 \r\n",
       "Q 31.390625 47.953125 31.390625 54.390625 \r\n",
       "Q 31.390625 60.6875 28.953125 64.34375 \r\n",
       "Q 26.515625 68.015625 22.3125 68.015625 \r\n",
       "z\r\n",
       "M 66.40625 74.21875 \r\n",
       "L 74.21875 74.21875 \r\n",
       "L 28.609375 -1.421875 \r\n",
       "L 20.796875 -1.421875 \r\n",
       "z\r\n",
       "M 22.3125 74.21875 \r\n",
       "Q 30.03125 74.21875 34.609375 68.875 \r\n",
       "Q 39.203125 63.53125 39.203125 54.390625 \r\n",
       "Q 39.203125 45.171875 34.640625 39.84375 \r\n",
       "Q 30.078125 34.515625 22.3125 34.515625 \r\n",
       "Q 14.546875 34.515625 10.03125 39.859375 \r\n",
       "Q 5.515625 45.21875 5.515625 54.390625 \r\n",
       "Q 5.515625 63.484375 10.046875 68.84375 \r\n",
       "Q 14.59375 74.21875 22.3125 74.21875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-37\"/>\r\n",
       "      <path d=\"M 30.609375 48.390625 \r\n",
       "Q 23.390625 48.390625 19.1875 42.75 \r\n",
       "Q 14.984375 37.109375 14.984375 27.296875 \r\n",
       "Q 14.984375 17.484375 19.15625 11.84375 \r\n",
       "Q 23.34375 6.203125 30.609375 6.203125 \r\n",
       "Q 37.796875 6.203125 41.984375 11.859375 \r\n",
       "Q 46.1875 17.53125 46.1875 27.296875 \r\n",
       "Q 46.1875 37.015625 41.984375 42.703125 \r\n",
       "Q 37.796875 48.390625 30.609375 48.390625 \r\n",
       "z\r\n",
       "M 30.609375 56 \r\n",
       "Q 42.328125 56 49.015625 48.375 \r\n",
       "Q 55.71875 40.765625 55.71875 27.296875 \r\n",
       "Q 55.71875 13.875 49.015625 6.21875 \r\n",
       "Q 42.328125 -1.421875 30.609375 -1.421875 \r\n",
       "Q 18.84375 -1.421875 12.171875 6.21875 \r\n",
       "Q 5.515625 13.875 5.515625 27.296875 \r\n",
       "Q 5.515625 40.765625 12.171875 48.375 \r\n",
       "Q 18.84375 56 30.609375 56 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-111\"/>\r\n",
       "     </defs>\r\n",
       "     <g transform=\"translate(205.644099 31.055896)scale(0.08 -0.08)\">\r\n",
       "      <use xlink:href=\"#DejaVuSans-57\"/>\r\n",
       "      <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\r\n",
       "      <use x=\"127.246094\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "      <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\r\n",
       "      <use x=\"222.65625\" xlink:href=\"#DejaVuSans-37\"/>\r\n",
       "      <use x=\"317.675781\" xlink:href=\"#DejaVuSans-32\"/>\r\n",
       "      <use x=\"349.462891\" xlink:href=\"#DejaVuSans-99\"/>\r\n",
       "      <use x=\"404.443359\" xlink:href=\"#DejaVuSans-111\"/>\r\n",
       "      <use x=\"465.625\" xlink:href=\"#DejaVuSans-110\"/>\r\n",
       "      <use x=\"529.003906\" xlink:href=\"#DejaVuSans-102\"/>\r\n",
       "      <use x=\"564.099609\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "      <use x=\"595.886719\" xlink:href=\"#DejaVuSans-32\"/>\r\n",
       "      <use x=\"627.673828\" xlink:href=\"#DejaVuSans-105\"/>\r\n",
       "      <use x=\"655.457031\" xlink:href=\"#DejaVuSans-110\"/>\r\n",
       "      <use x=\"718.835938\" xlink:href=\"#DejaVuSans-116\"/>\r\n",
       "      <use x=\"758.044922\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_29\">\r\n",
       "     <path d=\"M 183.244099 39.998396 \r\n",
       "L 199.244099 39.998396 \r\n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-dasharray:3.7,1.6;stroke-dashoffset:0;stroke-linejoin:miter;\"/>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_30\"/>\r\n",
       "    <g id=\"text_12\">\r\n",
       "     <!-- 95.0% pred. int. -->\r\n",
       "     <defs>\r\n",
       "      <path d=\"M 18.109375 8.203125 \r\n",
       "L 18.109375 -20.796875 \r\n",
       "L 9.078125 -20.796875 \r\n",
       "L 9.078125 54.6875 \r\n",
       "L 18.109375 54.6875 \r\n",
       "L 18.109375 46.390625 \r\n",
       "Q 20.953125 51.265625 25.265625 53.625 \r\n",
       "Q 29.59375 56 35.59375 56 \r\n",
       "Q 45.5625 56 51.78125 48.09375 \r\n",
       "Q 58.015625 40.1875 58.015625 27.296875 \r\n",
       "Q 58.015625 14.40625 51.78125 6.484375 \r\n",
       "Q 45.5625 -1.421875 35.59375 -1.421875 \r\n",
       "Q 29.59375 -1.421875 25.265625 0.953125 \r\n",
       "Q 20.953125 3.328125 18.109375 8.203125 \r\n",
       "z\r\n",
       "M 48.6875 27.296875 \r\n",
       "Q 48.6875 37.203125 44.609375 42.84375 \r\n",
       "Q 40.53125 48.484375 33.40625 48.484375 \r\n",
       "Q 26.265625 48.484375 22.1875 42.84375 \r\n",
       "Q 18.109375 37.203125 18.109375 27.296875 \r\n",
       "Q 18.109375 17.390625 22.1875 11.75 \r\n",
       "Q 26.265625 6.109375 33.40625 6.109375 \r\n",
       "Q 40.53125 6.109375 44.609375 11.75 \r\n",
       "Q 48.6875 17.390625 48.6875 27.296875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-112\"/>\r\n",
       "      <path d=\"M 45.40625 46.390625 \r\n",
       "L 45.40625 75.984375 \r\n",
       "L 54.390625 75.984375 \r\n",
       "L 54.390625 0 \r\n",
       "L 45.40625 0 \r\n",
       "L 45.40625 8.203125 \r\n",
       "Q 42.578125 3.328125 38.25 0.953125 \r\n",
       "Q 33.9375 -1.421875 27.875 -1.421875 \r\n",
       "Q 17.96875 -1.421875 11.734375 6.484375 \r\n",
       "Q 5.515625 14.40625 5.515625 27.296875 \r\n",
       "Q 5.515625 40.1875 11.734375 48.09375 \r\n",
       "Q 17.96875 56 27.875 56 \r\n",
       "Q 33.9375 56 38.25 53.625 \r\n",
       "Q 42.578125 51.265625 45.40625 46.390625 \r\n",
       "z\r\n",
       "M 14.796875 27.296875 \r\n",
       "Q 14.796875 17.390625 18.875 11.75 \r\n",
       "Q 22.953125 6.109375 30.078125 6.109375 \r\n",
       "Q 37.203125 6.109375 41.296875 11.75 \r\n",
       "Q 45.40625 17.390625 45.40625 27.296875 \r\n",
       "Q 45.40625 37.203125 41.296875 42.84375 \r\n",
       "Q 37.203125 48.484375 30.078125 48.484375 \r\n",
       "Q 22.953125 48.484375 18.875 42.84375 \r\n",
       "Q 14.796875 37.203125 14.796875 27.296875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-100\"/>\r\n",
       "     </defs>\r\n",
       "     <g transform=\"translate(205.644099 42.798396)scale(0.08 -0.08)\">\r\n",
       "      <use xlink:href=\"#DejaVuSans-57\"/>\r\n",
       "      <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\r\n",
       "      <use x=\"127.246094\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "      <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\r\n",
       "      <use x=\"222.65625\" xlink:href=\"#DejaVuSans-37\"/>\r\n",
       "      <use x=\"317.675781\" xlink:href=\"#DejaVuSans-32\"/>\r\n",
       "      <use x=\"349.462891\" xlink:href=\"#DejaVuSans-112\"/>\r\n",
       "      <use x=\"412.939453\" xlink:href=\"#DejaVuSans-114\"/>\r\n",
       "      <use x=\"454.021484\" xlink:href=\"#DejaVuSans-101\"/>\r\n",
       "      <use x=\"515.544922\" xlink:href=\"#DejaVuSans-100\"/>\r\n",
       "      <use x=\"579.021484\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "      <use x=\"610.808594\" xlink:href=\"#DejaVuSans-32\"/>\r\n",
       "      <use x=\"642.595703\" xlink:href=\"#DejaVuSans-105\"/>\r\n",
       "      <use x=\"670.378906\" xlink:href=\"#DejaVuSans-110\"/>\r\n",
       "      <use x=\"733.757812\" xlink:href=\"#DejaVuSans-116\"/>\r\n",
       "      <use x=\"772.966797\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_31\">\r\n",
       "     <path d=\"M 183.244099 51.740896 \r\n",
       "L 199.244099 51.740896 \r\n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linejoin:miter;stroke-opacity:0.85;\"/>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_32\"/>\r\n",
       "    <g id=\"text_13\">\r\n",
       "     <!-- true curve -->\r\n",
       "     <g transform=\"translate(205.644099 54.540896)scale(0.08 -0.08)\">\r\n",
       "      <use xlink:href=\"#DejaVuSans-116\"/>\r\n",
       "      <use x=\"39.208984\" xlink:href=\"#DejaVuSans-114\"/>\r\n",
       "      <use x=\"80.322266\" xlink:href=\"#DejaVuSans-117\"/>\r\n",
       "      <use x=\"143.701172\" xlink:href=\"#DejaVuSans-101\"/>\r\n",
       "      <use x=\"205.224609\" xlink:href=\"#DejaVuSans-32\"/>\r\n",
       "      <use x=\"237.011719\" xlink:href=\"#DejaVuSans-99\"/>\r\n",
       "      <use x=\"291.992188\" xlink:href=\"#DejaVuSans-117\"/>\r\n",
       "      <use x=\"355.371094\" xlink:href=\"#DejaVuSans-114\"/>\r\n",
       "      <use x=\"396.484375\" xlink:href=\"#DejaVuSans-118\"/>\r\n",
       "      <use x=\"455.664062\" xlink:href=\"#DejaVuSans-101\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_33\">\r\n",
       "     <path d=\"M 183.244099 63.483396 \r\n",
       "L 199.244099 63.483396 \r\n",
       "\" style=\"fill:none;\"/>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_34\">\r\n",
       "     <defs>\r\n",
       "      <path d=\"M 0 3.2 \r\n",
       "C 0.84865 3.2 1.662656 2.862828 2.262742 2.262742 \r\n",
       "C 2.862828 1.662656 3.2 0.84865 3.2 0 \r\n",
       "C 3.2 -0.84865 2.862828 -1.662656 2.262742 -2.262742 \r\n",
       "C 1.662656 -2.862828 0.84865 -3.2 0 -3.2 \r\n",
       "C -0.84865 -3.2 -1.662656 -2.862828 -2.262742 -2.262742 \r\n",
       "C -2.862828 -1.662656 -3.2 -0.84865 -3.2 0 \r\n",
       "C -3.2 0.84865 -2.862828 1.662656 -2.262742 2.262742 \r\n",
       "C -1.662656 2.862828 -0.84865 3.2 0 3.2 \r\n",
       "z\r\n",
       "\" id=\"m46a53d93d4\" style=\"stroke:#0000ff;stroke-opacity:0.5;stroke-width:1.6;\"/>\r\n",
       "     </defs>\r\n",
       "     <g>\r\n",
       "      <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;stroke-width:1.6;\" x=\"191.244099\" xlink:href=\"#m46a53d93d4\" y=\"63.483396\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"text_14\">\r\n",
       "     <!-- sample -->\r\n",
       "     <defs>\r\n",
       "      <path d=\"M 44.28125 53.078125 \r\n",
       "L 44.28125 44.578125 \r\n",
       "Q 40.484375 46.53125 36.375 47.5 \r\n",
       "Q 32.28125 48.484375 27.875 48.484375 \r\n",
       "Q 21.1875 48.484375 17.84375 46.4375 \r\n",
       "Q 14.5 44.390625 14.5 40.28125 \r\n",
       "Q 14.5 37.15625 16.890625 35.375 \r\n",
       "Q 19.28125 33.59375 26.515625 31.984375 \r\n",
       "L 29.59375 31.296875 \r\n",
       "Q 39.15625 29.25 43.1875 25.515625 \r\n",
       "Q 47.21875 21.78125 47.21875 15.09375 \r\n",
       "Q 47.21875 7.46875 41.1875 3.015625 \r\n",
       "Q 35.15625 -1.421875 24.609375 -1.421875 \r\n",
       "Q 20.21875 -1.421875 15.453125 -0.5625 \r\n",
       "Q 10.6875 0.296875 5.421875 2 \r\n",
       "L 5.421875 11.28125 \r\n",
       "Q 10.40625 8.6875 15.234375 7.390625 \r\n",
       "Q 20.0625 6.109375 24.8125 6.109375 \r\n",
       "Q 31.15625 6.109375 34.5625 8.28125 \r\n",
       "Q 37.984375 10.453125 37.984375 14.40625 \r\n",
       "Q 37.984375 18.0625 35.515625 20.015625 \r\n",
       "Q 33.0625 21.96875 24.703125 23.78125 \r\n",
       "L 21.578125 24.515625 \r\n",
       "Q 13.234375 26.265625 9.515625 29.90625 \r\n",
       "Q 5.8125 33.546875 5.8125 39.890625 \r\n",
       "Q 5.8125 47.609375 11.28125 51.796875 \r\n",
       "Q 16.75 56 26.8125 56 \r\n",
       "Q 31.78125 56 36.171875 55.265625 \r\n",
       "Q 40.578125 54.546875 44.28125 53.078125 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-115\"/>\r\n",
       "      <path d=\"M 34.28125 27.484375 \r\n",
       "Q 23.390625 27.484375 19.1875 25 \r\n",
       "Q 14.984375 22.515625 14.984375 16.5 \r\n",
       "Q 14.984375 11.71875 18.140625 8.90625 \r\n",
       "Q 21.296875 6.109375 26.703125 6.109375 \r\n",
       "Q 34.1875 6.109375 38.703125 11.40625 \r\n",
       "Q 43.21875 16.703125 43.21875 25.484375 \r\n",
       "L 43.21875 27.484375 \r\n",
       "z\r\n",
       "M 52.203125 31.203125 \r\n",
       "L 52.203125 0 \r\n",
       "L 43.21875 0 \r\n",
       "L 43.21875 8.296875 \r\n",
       "Q 40.140625 3.328125 35.546875 0.953125 \r\n",
       "Q 30.953125 -1.421875 24.3125 -1.421875 \r\n",
       "Q 15.921875 -1.421875 10.953125 3.296875 \r\n",
       "Q 6 8.015625 6 15.921875 \r\n",
       "Q 6 25.140625 12.171875 29.828125 \r\n",
       "Q 18.359375 34.515625 30.609375 34.515625 \r\n",
       "L 43.21875 34.515625 \r\n",
       "L 43.21875 35.40625 \r\n",
       "Q 43.21875 41.609375 39.140625 45 \r\n",
       "Q 35.0625 48.390625 27.6875 48.390625 \r\n",
       "Q 23 48.390625 18.546875 47.265625 \r\n",
       "Q 14.109375 46.140625 10.015625 43.890625 \r\n",
       "L 10.015625 52.203125 \r\n",
       "Q 14.9375 54.109375 19.578125 55.046875 \r\n",
       "Q 24.21875 56 28.609375 56 \r\n",
       "Q 40.484375 56 46.34375 49.84375 \r\n",
       "Q 52.203125 43.703125 52.203125 31.203125 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-97\"/>\r\n",
       "      <path d=\"M 52 44.1875 \r\n",
       "Q 55.375 50.25 60.0625 53.125 \r\n",
       "Q 64.75 56 71.09375 56 \r\n",
       "Q 79.640625 56 84.28125 50.015625 \r\n",
       "Q 88.921875 44.046875 88.921875 33.015625 \r\n",
       "L 88.921875 0 \r\n",
       "L 79.890625 0 \r\n",
       "L 79.890625 32.71875 \r\n",
       "Q 79.890625 40.578125 77.09375 44.375 \r\n",
       "Q 74.3125 48.1875 68.609375 48.1875 \r\n",
       "Q 61.625 48.1875 57.5625 43.546875 \r\n",
       "Q 53.515625 38.921875 53.515625 30.90625 \r\n",
       "L 53.515625 0 \r\n",
       "L 44.484375 0 \r\n",
       "L 44.484375 32.71875 \r\n",
       "Q 44.484375 40.625 41.703125 44.40625 \r\n",
       "Q 38.921875 48.1875 33.109375 48.1875 \r\n",
       "Q 26.21875 48.1875 22.15625 43.53125 \r\n",
       "Q 18.109375 38.875 18.109375 30.90625 \r\n",
       "L 18.109375 0 \r\n",
       "L 9.078125 0 \r\n",
       "L 9.078125 54.6875 \r\n",
       "L 18.109375 54.6875 \r\n",
       "L 18.109375 46.1875 \r\n",
       "Q 21.1875 51.21875 25.484375 53.609375 \r\n",
       "Q 29.78125 56 35.6875 56 \r\n",
       "Q 41.65625 56 45.828125 52.96875 \r\n",
       "Q 50 49.953125 52 44.1875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-109\"/>\r\n",
       "      <path d=\"M 9.421875 75.984375 \r\n",
       "L 18.40625 75.984375 \r\n",
       "L 18.40625 0 \r\n",
       "L 9.421875 0 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-108\"/>\r\n",
       "     </defs>\r\n",
       "     <g transform=\"translate(205.644099 66.283396)scale(0.08 -0.08)\">\r\n",
       "      <use xlink:href=\"#DejaVuSans-115\"/>\r\n",
       "      <use x=\"52.099609\" xlink:href=\"#DejaVuSans-97\"/>\r\n",
       "      <use x=\"113.378906\" xlink:href=\"#DejaVuSans-109\"/>\r\n",
       "      <use x=\"210.791016\" xlink:href=\"#DejaVuSans-112\"/>\r\n",
       "      <use x=\"274.267578\" xlink:href=\"#DejaVuSans-108\"/>\r\n",
       "      <use x=\"302.050781\" xlink:href=\"#DejaVuSans-101\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "   </g>\r\n",
       "  </g>\r\n",
       " </g>\r\n",
       " <defs>\r\n",
       "  <clipPath id=\"p099e324d2c\">\r\n",
       "   <rect height=\"270.190709\" width=\"405.063762\" x=\"24.101593\" y=\"2.834646\"/>\r\n",
       "  </clipPath>\r\n",
       " </defs>\r\n",
       "</svg>\r\n"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "n = 200\n",
    "\n",
    "b = [0.12, 0.23, 0.34, 4.32]\n",
    "σ = 1.5\n",
    "f_true = (x ->  b[1] + b[2]*x + b[3]*x^2 + b[4]*sin(x))\n",
    "\n",
    "seed!(102)\n",
    "x = rand(Uniform(-5, 5), n)\n",
    "y = f_true.(x) + σ*randn(n)\n",
    "\n",
    "F = [x -> x^k for k in 0:10]\n",
    "plot_linear_regression(F, x, f_true; y=y, xs=range(-5.5, 5.5, length=400), ylim=(-10, 24))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "b̂ = [-0.6360301895154846, 4.417028707038097, 0.24209604165307497, 0.3255859803291357, 0.6006383962282419, -0.29639295579868763, -0.15886623714289103, 0.02680240754901261, 0.012358089093270274, -0.000666093706055679, -0.00029238834600292903]\n",
      "û = 1.357400058296853\n"
     ]
    },
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\r\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\r\n",
       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\r\n",
       "<!-- Created with matplotlib (https://matplotlib.org/) -->\r\n",
       "<svg height=\"288pt\" version=\"1.1\" viewBox=\"0 0 432 288\" width=\"432pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\r\n",
       " <defs>\r\n",
       "  <style type=\"text/css\">\r\n",
       "*{stroke-linecap:butt;stroke-linejoin:round;}\r\n",
       "  </style>\r\n",
       " </defs>\r\n",
       " <g id=\"figure_1\">\r\n",
       "  <g id=\"patch_1\">\r\n",
       "   <path d=\"M 0 288 \r\n",
       "L 432 288 \r\n",
       "L 432 0 \r\n",
       "L 0 0 \r\n",
       "z\r\n",
       "\" style=\"fill:#ffffff;\"/>\r\n",
       "  </g>\r\n",
       "  <g id=\"axes_1\">\r\n",
       "   <g id=\"patch_2\">\r\n",
       "    <path d=\"M 24.101593 273.025354 \r\n",
       "L 429.165354 273.025354 \r\n",
       "L 429.165354 2.834646 \r\n",
       "L 24.101593 2.834646 \r\n",
       "z\r\n",
       "\" style=\"fill:#ffffff;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"matplotlib.axis_1\">\r\n",
       "    <g id=\"xtick_1\">\r\n",
       "     <g id=\"line2d_1\">\r\n",
       "      <path clip-path=\"url(#p5a22c3d10f)\" d=\"M 87.675065 273.025354 \r\n",
       "L 87.675065 2.834646 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_2\">\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 0 0 \r\n",
       "L 0 -2.5 \r\n",
       "\" id=\"mda1049e151\" style=\"stroke:#000000;stroke-width:0.5;\"/>\r\n",
       "      </defs>\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"87.675065\" xlink:href=\"#mda1049e151\" y=\"273.025354\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_1\">\r\n",
       "      <!-- $\\mathregular{-4}$ -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 10.59375 35.5 \r\n",
       "L 73.1875 35.5 \r\n",
       "L 73.1875 27.203125 \r\n",
       "L 10.59375 27.203125 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-8722\"/>\r\n",
       "       <path d=\"M 37.796875 64.3125 \r\n",
       "L 12.890625 25.390625 \r\n",
       "L 37.796875 25.390625 \r\n",
       "z\r\n",
       "M 35.203125 72.90625 \r\n",
       "L 47.609375 72.90625 \r\n",
       "L 47.609375 25.390625 \r\n",
       "L 58.015625 25.390625 \r\n",
       "L 58.015625 17.1875 \r\n",
       "L 47.609375 17.1875 \r\n",
       "L 47.609375 0 \r\n",
       "L 37.796875 0 \r\n",
       "L 37.796875 17.1875 \r\n",
       "L 4.890625 17.1875 \r\n",
       "L 4.890625 26.703125 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-52\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(81.755065 282.604104)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.09375)\" xlink:href=\"#DejaVuSans-8722\"/>\r\n",
       "       <use transform=\"translate(83.789062 0.09375)\" xlink:href=\"#DejaVuSans-52\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_2\">\r\n",
       "     <g id=\"line2d_3\">\r\n",
       "      <path clip-path=\"url(#p5a22c3d10f)\" d=\"M 157.154269 273.025354 \r\n",
       "L 157.154269 2.834646 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_4\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"157.154269\" xlink:href=\"#mda1049e151\" y=\"273.025354\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_2\">\r\n",
       "      <!-- $\\mathregular{-2}$ -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 19.1875 8.296875 \r\n",
       "L 53.609375 8.296875 \r\n",
       "L 53.609375 0 \r\n",
       "L 7.328125 0 \r\n",
       "L 7.328125 8.296875 \r\n",
       "Q 12.9375 14.109375 22.625 23.890625 \r\n",
       "Q 32.328125 33.6875 34.8125 36.53125 \r\n",
       "Q 39.546875 41.84375 41.421875 45.53125 \r\n",
       "Q 43.3125 49.21875 43.3125 52.78125 \r\n",
       "Q 43.3125 58.59375 39.234375 62.25 \r\n",
       "Q 35.15625 65.921875 28.609375 65.921875 \r\n",
       "Q 23.96875 65.921875 18.8125 64.3125 \r\n",
       "Q 13.671875 62.703125 7.8125 59.421875 \r\n",
       "L 7.8125 69.390625 \r\n",
       "Q 13.765625 71.78125 18.9375 73 \r\n",
       "Q 24.125 74.21875 28.421875 74.21875 \r\n",
       "Q 39.75 74.21875 46.484375 68.546875 \r\n",
       "Q 53.21875 62.890625 53.21875 53.421875 \r\n",
       "Q 53.21875 48.921875 51.53125 44.890625 \r\n",
       "Q 49.859375 40.875 45.40625 35.40625 \r\n",
       "Q 44.1875 33.984375 37.640625 27.21875 \r\n",
       "Q 31.109375 20.453125 19.1875 8.296875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-50\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(151.234269 282.604104)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-8722\"/>\r\n",
       "       <use transform=\"translate(83.789062 0.78125)\" xlink:href=\"#DejaVuSans-50\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_3\">\r\n",
       "     <g id=\"line2d_5\">\r\n",
       "      <path clip-path=\"url(#p5a22c3d10f)\" d=\"M 226.633474 273.025354 \r\n",
       "L 226.633474 2.834646 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_6\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"226.633474\" xlink:href=\"#mda1049e151\" y=\"273.025354\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_3\">\r\n",
       "      <!-- $\\mathregular{0}$ -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 31.78125 66.40625 \r\n",
       "Q 24.171875 66.40625 20.328125 58.90625 \r\n",
       "Q 16.5 51.421875 16.5 36.375 \r\n",
       "Q 16.5 21.390625 20.328125 13.890625 \r\n",
       "Q 24.171875 6.390625 31.78125 6.390625 \r\n",
       "Q 39.453125 6.390625 43.28125 13.890625 \r\n",
       "Q 47.125 21.390625 47.125 36.375 \r\n",
       "Q 47.125 51.421875 43.28125 58.90625 \r\n",
       "Q 39.453125 66.40625 31.78125 66.40625 \r\n",
       "z\r\n",
       "M 31.78125 74.21875 \r\n",
       "Q 44.046875 74.21875 50.515625 64.515625 \r\n",
       "Q 56.984375 54.828125 56.984375 36.375 \r\n",
       "Q 56.984375 17.96875 50.515625 8.265625 \r\n",
       "Q 44.046875 -1.421875 31.78125 -1.421875 \r\n",
       "Q 19.53125 -1.421875 13.0625 8.265625 \r\n",
       "Q 6.59375 17.96875 6.59375 36.375 \r\n",
       "Q 6.59375 54.828125 13.0625 64.515625 \r\n",
       "Q 19.53125 74.21875 31.78125 74.21875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-48\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(224.073474 282.604104)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_4\">\r\n",
       "     <g id=\"line2d_7\">\r\n",
       "      <path clip-path=\"url(#p5a22c3d10f)\" d=\"M 296.112678 273.025354 \r\n",
       "L 296.112678 2.834646 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_8\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"296.112678\" xlink:href=\"#mda1049e151\" y=\"273.025354\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_4\">\r\n",
       "      <!-- $\\mathregular{2}$ -->\r\n",
       "      <g transform=\"translate(293.552678 282.604104)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-50\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_5\">\r\n",
       "     <g id=\"line2d_9\">\r\n",
       "      <path clip-path=\"url(#p5a22c3d10f)\" d=\"M 365.591882 273.025354 \r\n",
       "L 365.591882 2.834646 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_10\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"365.591882\" xlink:href=\"#mda1049e151\" y=\"273.025354\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_5\">\r\n",
       "      <!-- $\\mathregular{4}$ -->\r\n",
       "      <g transform=\"translate(363.031882 282.604104)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.09375)\" xlink:href=\"#DejaVuSans-52\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "   </g>\r\n",
       "   <g id=\"matplotlib.axis_2\">\r\n",
       "    <g id=\"ytick_1\">\r\n",
       "     <g id=\"line2d_11\">\r\n",
       "      <path clip-path=\"url(#p5a22c3d10f)\" d=\"M 24.101593 273.025354 \r\n",
       "L 429.165354 273.025354 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_12\">\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 0 0 \r\n",
       "L 2.5 0 \r\n",
       "\" id=\"m32d97dcb00\" style=\"stroke:#000000;stroke-width:0.5;\"/>\r\n",
       "      </defs>\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"24.101593\" xlink:href=\"#m32d97dcb00\" y=\"273.025354\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_6\">\r\n",
       "      <!-- $\\mathregular{-10}$ -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 12.40625 8.296875 \r\n",
       "L 28.515625 8.296875 \r\n",
       "L 28.515625 63.921875 \r\n",
       "L 10.984375 60.40625 \r\n",
       "L 10.984375 69.390625 \r\n",
       "L 28.421875 72.90625 \r\n",
       "L 38.28125 72.90625 \r\n",
       "L 38.28125 8.296875 \r\n",
       "L 54.390625 8.296875 \r\n",
       "L 54.390625 0 \r\n",
       "L 12.40625 0 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-49\"/>\r\n",
       "      </defs>\r\n",
       "      <g transform=\"translate(3.641593 276.064729)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-8722\"/>\r\n",
       "       <use transform=\"translate(83.789062 0.78125)\" xlink:href=\"#DejaVuSans-49\"/>\r\n",
       "       <use transform=\"translate(147.412109 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_2\">\r\n",
       "     <g id=\"line2d_13\">\r\n",
       "      <path clip-path=\"url(#p5a22c3d10f)\" d=\"M 24.101593 193.557499 \r\n",
       "L 429.165354 193.557499 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_14\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"24.101593\" xlink:href=\"#m32d97dcb00\" y=\"193.557499\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_7\">\r\n",
       "      <!-- $\\mathregular{0}$ -->\r\n",
       "      <g transform=\"translate(15.481593 196.596874)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_3\">\r\n",
       "     <g id=\"line2d_15\">\r\n",
       "      <path clip-path=\"url(#p5a22c3d10f)\" d=\"M 24.101593 114.089643 \r\n",
       "L 429.165354 114.089643 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_16\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"24.101593\" xlink:href=\"#m32d97dcb00\" y=\"114.089643\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_8\">\r\n",
       "      <!-- $\\mathregular{10}$ -->\r\n",
       "      <g transform=\"translate(10.361593 117.129018)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-49\"/>\r\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_4\">\r\n",
       "     <g id=\"line2d_17\">\r\n",
       "      <path clip-path=\"url(#p5a22c3d10f)\" d=\"M 24.101593 34.621788 \r\n",
       "L 429.165354 34.621788 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-opacity:0.1;stroke-width:0.5;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"line2d_18\">\r\n",
       "      <g>\r\n",
       "       <use style=\"stroke:#000000;stroke-width:0.5;\" x=\"24.101593\" xlink:href=\"#m32d97dcb00\" y=\"34.621788\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_9\">\r\n",
       "      <!-- $\\mathregular{20}$ -->\r\n",
       "      <g transform=\"translate(10.361593 37.661163)scale(0.08 -0.08)\">\r\n",
       "       <use transform=\"translate(0 0.78125)\" xlink:href=\"#DejaVuSans-50\"/>\r\n",
       "       <use transform=\"translate(63.623047 0.78125)\" xlink:href=\"#DejaVuSans-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_19\">\r\n",
       "    <path clip-path=\"url(#p5a22c3d10f)\" d=\"M 59.388616 289 \r\n",
       "L 59.508996 284.16239 \r\n",
       "L 60.46673 250.184284 \r\n",
       "L 61.424463 220.336448 \r\n",
       "L 62.382196 194.264284 \r\n",
       "L 63.33993 171.636428 \r\n",
       "L 64.297663 152.143574 \r\n",
       "L 65.255397 135.497347 \r\n",
       "L 66.21313 121.429216 \r\n",
       "L 67.170863 109.689453 \r\n",
       "L 68.128597 100.046135 \r\n",
       "L 69.08633 92.284179 \r\n",
       "L 70.044064 86.204427 \r\n",
       "L 71.001797 81.622757 \r\n",
       "L 71.95953 78.369243 \r\n",
       "L 72.917264 76.28734 \r\n",
       "L 73.874997 75.233109 \r\n",
       "L 74.832731 75.074477 \r\n",
       "L 75.790464 75.690525 \r\n",
       "L 76.748197 76.970808 \r\n",
       "L 77.705931 78.814712 \r\n",
       "L 78.663664 81.130828 \r\n",
       "L 80.579131 86.856601 \r\n",
       "L 82.494598 93.579291 \r\n",
       "L 86.325531 108.286557 \r\n",
       "L 90.156465 122.685562 \r\n",
       "L 93.029665 132.395663 \r\n",
       "L 94.945132 138.170449 \r\n",
       "L 96.860599 143.339704 \r\n",
       "L 98.776065 147.898129 \r\n",
       "L 100.691532 151.864118 \r\n",
       "L 102.606999 155.274163 \r\n",
       "L 104.522466 158.178013 \r\n",
       "L 106.437933 160.634505 \r\n",
       "L 108.353399 162.708025 \r\n",
       "L 110.268866 164.465517 \r\n",
       "L 112.184333 165.974014 \r\n",
       "L 115.057533 167.911355 \r\n",
       "L 125.5926 174.450732 \r\n",
       "L 128.465801 176.665098 \r\n",
       "L 131.339001 179.206681 \r\n",
       "L 134.212201 182.095873 \r\n",
       "L 137.085401 185.324388 \r\n",
       "L 139.958601 188.85935 \r\n",
       "L 143.789535 193.955533 \r\n",
       "L 149.535935 202.070542 \r\n",
       "L 155.282336 210.153781 \r\n",
       "L 159.113269 215.188099 \r\n",
       "L 161.986469 218.646019 \r\n",
       "L 164.85967 221.757214 \r\n",
       "L 167.73287 224.466588 \r\n",
       "L 169.648337 226.02788 \r\n",
       "L 171.563803 227.381668 \r\n",
       "L 173.47927 228.520944 \r\n",
       "L 175.394737 229.441241 \r\n",
       "L 177.310204 230.140579 \r\n",
       "L 179.225671 230.61937 \r\n",
       "L 181.141137 230.88029 \r\n",
       "L 183.056604 230.928124 \r\n",
       "L 184.972071 230.76958 \r\n",
       "L 186.887538 230.41309 \r\n",
       "L 188.803004 229.868585 \r\n",
       "L 190.718471 229.147262 \r\n",
       "L 193.591671 227.760694 \r\n",
       "L 196.464872 226.048196 \r\n",
       "L 199.338072 224.056019 \r\n",
       "L 203.169005 221.044761 \r\n",
       "L 206.999939 217.72358 \r\n",
       "L 211.788606 213.277274 \r\n",
       "L 219.450473 205.800765 \r\n",
       "L 229.98554 195.204308 \r\n",
       "L 236.689674 188.199028 \r\n",
       "L 242.436075 181.854839 \r\n",
       "L 247.224741 176.222579 \r\n",
       "L 252.013408 170.223214 \r\n",
       "L 256.802075 163.86494 \r\n",
       "L 263.506209 154.546055 \r\n",
       "L 270.210343 145.283381 \r\n",
       "L 274.041277 140.380267 \r\n",
       "L 276.914477 137.068277 \r\n",
       "L 278.829943 135.09805 \r\n",
       "L 280.74541 133.360736 \r\n",
       "L 282.660877 131.894485 \r\n",
       "L 284.576344 130.738313 \r\n",
       "L 286.491811 129.931574 \r\n",
       "L 288.407277 129.513359 \r\n",
       "L 289.365011 129.461933 \r\n",
       "L 290.322744 129.521844 \r\n",
       "L 291.280478 129.697603 \r\n",
       "L 292.238211 129.993572 \r\n",
       "L 293.195944 130.413937 \r\n",
       "L 294.153678 130.962684 \r\n",
       "L 296.069145 132.460101 \r\n",
       "L 297.984611 134.512662 \r\n",
       "L 299.900078 137.142222 \r\n",
       "L 301.815545 140.364731 \r\n",
       "L 303.731012 144.189287 \r\n",
       "L 305.646479 148.617193 \r\n",
       "L 307.561945 153.641012 \r\n",
       "L 309.477412 159.24365 \r\n",
       "L 311.392879 165.397482 \r\n",
       "L 314.266079 175.573162 \r\n",
       "L 317.139279 186.71524 \r\n",
       "L 320.970213 202.634495 \r\n",
       "L 328.63208 234.936131 \r\n",
       "L 331.50528 245.806331 \r\n",
       "L 333.420747 252.239776 \r\n",
       "L 335.336214 257.813984 \r\n",
       "L 337.251681 262.343721 \r\n",
       "L 338.209414 264.158242 \r\n",
       "L 339.167147 265.641224 \r\n",
       "L 340.124881 266.769389 \r\n",
       "L 341.082614 267.519787 \r\n",
       "L 342.040347 267.869943 \r\n",
       "L 342.998081 267.798021 \r\n",
       "L 343.955814 267.283 \r\n",
       "L 344.913548 266.304855 \r\n",
       "L 345.871281 264.844768 \r\n",
       "L 346.829014 262.885335 \r\n",
       "L 347.786748 260.410804 \r\n",
       "L 348.744481 257.407315 \r\n",
       "L 349.702215 253.863168 \r\n",
       "L 350.659948 249.769102 \r\n",
       "L 351.617681 245.118589 \r\n",
       "L 353.533148 234.137704 \r\n",
       "L 355.448615 220.935484 \r\n",
       "L 357.364082 205.592927 \r\n",
       "L 359.279549 188.270121 \r\n",
       "L 361.195015 169.220784 \r\n",
       "L 364.068216 138.238985 \r\n",
       "L 369.814616 75.107725 \r\n",
       "L 371.730083 56.964225 \r\n",
       "L 372.687816 49.107917 \r\n",
       "L 373.645549 42.311117 \r\n",
       "L 374.603283 36.782135 \r\n",
       "L 375.561016 32.747619 \r\n",
       "L 376.51875 30.453619 \r\n",
       "L 377.476483 30.166698 \r\n",
       "L 378.434216 32.17509 \r\n",
       "L 379.39195 36.789897 \r\n",
       "L 380.349683 44.346343 \r\n",
       "L 381.307417 55.205076 \r\n",
       "L 382.26515 69.753515 \r\n",
       "L 383.222883 88.407258 \r\n",
       "L 384.180617 111.611538 \r\n",
       "L 385.13835 139.842736 \r\n",
       "L 386.096084 173.609957 \r\n",
       "L 387.053817 213.456653 \r\n",
       "L 388.528645 289 \r\n",
       "L 388.528645 289 \r\n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-width:2;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_20\">\r\n",
       "    <path clip-path=\"url(#p5a22c3d10f)\" d=\"M 63.50672 289 \r\n",
       "L 64.297663 230.303296 \r\n",
       "L 65.255397 174.642892 \r\n",
       "L 66.21313 150.902176 \r\n",
       "L 67.170863 159.601399 \r\n",
       "L 68.128597 172.486458 \r\n",
       "L 69.08633 183.665787 \r\n",
       "L 70.044064 192.458247 \r\n",
       "L 71.001797 198.930961 \r\n",
       "L 71.95953 203.310052 \r\n",
       "L 72.917264 205.855695 \r\n",
       "L 73.874997 206.826219 \r\n",
       "L 74.832731 206.466044 \r\n",
       "L 75.790464 205.001567 \r\n",
       "L 76.748197 202.640105 \r\n",
       "L 77.705931 199.570171 \r\n",
       "L 79.621398 191.970622 \r\n",
       "L 85.367798 166.876727 \r\n",
       "L 86.325531 163.458664 \r\n",
       "L 87.283265 160.507575 \r\n",
       "L 88.240998 158.123615 \r\n",
       "L 89.198731 156.416541 \r\n",
       "L 90.156465 155.50231 \r\n",
       "L 91.114198 155.486125 \r\n",
       "L 92.071932 156.425725 \r\n",
       "L 93.029665 158.284683 \r\n",
       "L 93.987398 160.910226 \r\n",
       "L 95.902865 167.488122 \r\n",
       "L 97.818332 174.30099 \r\n",
       "L 99.733799 180.196857 \r\n",
       "L 100.691532 182.637372 \r\n",
       "L 101.649266 184.710308 \r\n",
       "L 102.606999 186.416149 \r\n",
       "L 103.564732 187.767351 \r\n",
       "L 104.522466 188.785102 \r\n",
       "L 105.480199 189.49706 \r\n",
       "L 106.437933 189.935778 \r\n",
       "L 107.395666 190.137587 \r\n",
       "L 108.353399 190.141789 \r\n",
       "L 110.268866 189.725934 \r\n",
       "L 114.0998 188.446183 \r\n",
       "L 115.057533 188.288143 \r\n",
       "L 116.015267 188.269035 \r\n",
       "L 116.973 188.412765 \r\n",
       "L 117.930733 188.73206 \r\n",
       "L 118.888467 189.227643 \r\n",
       "L 119.8462 189.889091 \r\n",
       "L 121.761667 191.627221 \r\n",
       "L 123.677134 193.744694 \r\n",
       "L 130.381267 201.616929 \r\n",
       "L 133.254468 204.519116 \r\n",
       "L 136.127668 207.042615 \r\n",
       "L 139.958601 210.006882 \r\n",
       "L 143.789535 212.939891 \r\n",
       "L 146.662735 215.471953 \r\n",
       "L 148.578202 217.452007 \r\n",
       "L 150.493669 219.719447 \r\n",
       "L 152.409135 222.279152 \r\n",
       "L 155.282336 226.571075 \r\n",
       "L 163.901936 240.008093 \r\n",
       "L 166.775136 243.860386 \r\n",
       "L 169.648337 247.223844 \r\n",
       "L 172.521537 250.116283 \r\n",
       "L 175.394737 252.591339 \r\n",
       "L 178.267937 254.69726 \r\n",
       "L 181.141137 256.442424 \r\n",
       "L 183.056604 257.383837 \r\n",
       "L 184.972071 258.116305 \r\n",
       "L 186.887538 258.603197 \r\n",
       "L 188.803004 258.802439 \r\n",
       "L 190.718471 258.669681 \r\n",
       "L 192.633938 258.16127 \r\n",
       "L 194.549405 257.236928 \r\n",
       "L 196.464872 255.862178 \r\n",
       "L 198.380338 254.01071 \r\n",
       "L 200.295805 251.666999 \r\n",
       "L 202.211272 248.829739 \r\n",
       "L 204.126739 245.517136 \r\n",
       "L 206.042206 241.776149 \r\n",
       "L 208.915406 235.58617 \r\n",
       "L 211.788606 229.385965 \r\n",
       "L 212.746339 227.568727 \r\n",
       "L 213.704073 226.016465 \r\n",
       "L 214.661806 224.824497 \r\n",
       "L 215.619539 224.070823 \r\n",
       "L 216.577273 223.793583 \r\n",
       "L 217.535006 223.982252 \r\n",
       "L 218.49274 224.588665 \r\n",
       "L 219.450473 225.547585 \r\n",
       "L 220.408206 226.793441 \r\n",
       "L 222.323673 229.92525 \r\n",
       "L 224.23914 233.634222 \r\n",
       "L 227.11234 239.775339 \r\n",
       "L 232.858741 252.20422 \r\n",
       "L 234.774207 255.924567 \r\n",
       "L 236.689674 259.243078 \r\n",
       "L 238.605141 262.053465 \r\n",
       "L 240.520608 264.255335 \r\n",
       "L 241.478341 265.098608 \r\n",
       "L 242.436075 265.755408 \r\n",
       "L 243.393808 266.215437 \r\n",
       "L 244.351541 266.469043 \r\n",
       "L 245.309275 266.507275 \r\n",
       "L 246.267008 266.321942 \r\n",
       "L 247.224741 265.905671 \r\n",
       "L 248.182475 265.251966 \r\n",
       "L 249.140208 264.355268 \r\n",
       "L 250.097942 263.211016 \r\n",
       "L 251.055675 261.815707 \r\n",
       "L 252.013408 260.166962 \r\n",
       "L 252.971142 258.263585 \r\n",
       "L 254.886609 253.694483 \r\n",
       "L 256.802075 248.125126 \r\n",
       "L 258.717542 241.595824 \r\n",
       "L 260.633009 234.173439 \r\n",
       "L 262.548476 225.955395 \r\n",
       "L 265.421676 212.441862 \r\n",
       "L 272.12581 179.704394 \r\n",
       "L 274.041277 172.063555 \r\n",
       "L 274.99901 168.991683 \r\n",
       "L 275.956743 166.564379 \r\n",
       "L 276.914477 164.857421 \r\n",
       "L 277.87221 163.891379 \r\n",
       "L 278.829943 163.621694 \r\n",
       "L 279.787677 163.950046 \r\n",
       "L 280.74541 164.749482 \r\n",
       "L 281.703144 165.888897 \r\n",
       "L 283.61861 168.724521 \r\n",
       "L 286.491811 173.065418 \r\n",
       "L 287.449544 174.282765 \r\n",
       "L 288.407277 175.308072 \r\n",
       "L 289.365011 176.105226 \r\n",
       "L 290.322744 176.643641 \r\n",
       "L 291.280478 176.898046 \r\n",
       "L 292.238211 176.848797 \r\n",
       "L 293.195944 176.482838 \r\n",
       "L 294.153678 175.795549 \r\n",
       "L 295.111411 174.793978 \r\n",
       "L 296.069145 173.502372 \r\n",
       "L 297.984611 170.296152 \r\n",
       "L 298.942345 168.641545 \r\n",
       "L 299.900078 167.290533 \r\n",
       "L 300.857812 166.698206 \r\n",
       "L 301.815545 167.502466 \r\n",
       "L 302.773278 170.363786 \r\n",
       "L 303.731012 175.636655 \r\n",
       "L 304.688745 183.225724 \r\n",
       "L 305.646479 192.794319 \r\n",
       "L 306.604212 204.005658 \r\n",
       "L 308.519679 230.430963 \r\n",
       "L 310.435145 261.292304 \r\n",
       "L 311.976112 289 \r\n",
       "M 361.19872 289 \r\n",
       "L 362.152749 231.289869 \r\n",
       "L 363.110482 180.287582 \r\n",
       "L 364.068216 185.271116 \r\n",
       "L 365.983682 265.263083 \r\n",
       "L 366.515932 289 \r\n",
       "M 384.704525 289 \r\n",
       "L 385.13835 242.614463 \r\n",
       "L 386.096084 240.298321 \r\n",
       "L 386.303916 289 \r\n",
       "L 386.303916 289 \r\n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-dasharray:1,1.65;stroke-dashoffset:0;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_3\">\r\n",
       "    <path d=\"M 24.101593 273.025354 \r\n",
       "L 24.101593 2.834646 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_4\">\r\n",
       "    <path d=\"M 24.101593 273.025354 \r\n",
       "L 429.165354 273.025354 \r\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_21\">\r\n",
       "    <path clip-path=\"url(#p5a22c3d10f)\" d=\"M 62.306416 -1 \r\n",
       "L 62.382196 2.668203 \r\n",
       "L 63.33993 41.895171 \r\n",
       "L 64.297663 73.983853 \r\n",
       "L 65.255397 96.351803 \r\n",
       "L 66.21313 91.956256 \r\n",
       "L 68.128597 27.605812 \r\n",
       "L 69.173299 -1 \r\n",
       "M 81.717616 -1 \r\n",
       "L 87.283265 63.467229 \r\n",
       "L 89.198731 82.000468 \r\n",
       "L 90.156465 89.868814 \r\n",
       "L 91.114198 96.615371 \r\n",
       "L 92.071932 102.156055 \r\n",
       "L 93.029665 106.506643 \r\n",
       "L 93.987398 109.804416 \r\n",
       "L 94.945132 112.276689 \r\n",
       "L 95.902865 114.175329 \r\n",
       "L 97.818332 117.088224 \r\n",
       "L 100.691532 121.090863 \r\n",
       "L 102.606999 124.132177 \r\n",
       "L 104.522466 127.570923 \r\n",
       "L 107.395666 133.292375 \r\n",
       "L 111.2266 141.099224 \r\n",
       "L 113.142066 144.600547 \r\n",
       "L 115.057533 147.534566 \r\n",
       "L 116.015267 148.732674 \r\n",
       "L 116.973 149.735323 \r\n",
       "L 117.930733 150.542933 \r\n",
       "L 118.888467 151.167166 \r\n",
       "L 119.8462 151.630027 \r\n",
       "L 121.761667 152.196164 \r\n",
       "L 126.550334 153.112383 \r\n",
       "L 128.465801 153.859601 \r\n",
       "L 130.381267 155.025559 \r\n",
       "L 132.296734 156.665937 \r\n",
       "L 134.212201 158.792511 \r\n",
       "L 136.127668 161.381557 \r\n",
       "L 138.043135 164.380283 \r\n",
       "L 140.916335 169.47283 \r\n",
       "L 149.535935 185.592603 \r\n",
       "L 151.451402 188.641304 \r\n",
       "L 153.366869 191.353294 \r\n",
       "L 155.282336 193.736488 \r\n",
       "L 157.197802 195.828846 \r\n",
       "L 159.113269 197.679996 \r\n",
       "L 161.986469 200.100286 \r\n",
       "L 164.85967 202.169485 \r\n",
       "L 167.73287 203.89702 \r\n",
       "L 169.648337 204.831915 \r\n",
       "L 171.563803 205.561895 \r\n",
       "L 173.47927 206.05709 \r\n",
       "L 175.394737 206.291143 \r\n",
       "L 177.310204 206.246473 \r\n",
       "L 179.225671 205.918497 \r\n",
       "L 181.141137 205.318157 \r\n",
       "L 183.056604 204.472411 \r\n",
       "L 184.972071 203.422855 \r\n",
       "L 187.845271 201.585803 \r\n",
       "L 193.591671 197.76798 \r\n",
       "L 195.507138 196.6971 \r\n",
       "L 197.422605 195.828522 \r\n",
       "L 199.338072 195.21119 \r\n",
       "L 201.253539 194.881523 \r\n",
       "L 203.169005 194.858778 \r\n",
       "L 205.084472 195.137718 \r\n",
       "L 206.999939 195.675582 \r\n",
       "L 210.830873 196.995566 \r\n",
       "L 211.788606 197.168584 \r\n",
       "L 212.746339 197.153107 \r\n",
       "L 213.704073 196.859311 \r\n",
       "L 214.661806 196.193566 \r\n",
       "L 215.619539 195.079391 \r\n",
       "L 216.577273 193.479981 \r\n",
       "L 217.535006 191.407024 \r\n",
       "L 218.49274 188.909666 \r\n",
       "L 220.408206 182.90606 \r\n",
       "L 222.323673 175.956124 \r\n",
       "L 225.196873 164.493014 \r\n",
       "L 236.689674 117.154979 \r\n",
       "L 239.562874 106.916293 \r\n",
       "L 241.478341 100.782913 \r\n",
       "L 243.393808 95.296674 \r\n",
       "L 245.309275 90.528395 \r\n",
       "L 247.224741 86.539488 \r\n",
       "L 249.140208 83.380641 \r\n",
       "L 250.097942 82.125059 \r\n",
       "L 251.055675 81.090436 \r\n",
       "L 252.013408 80.279466 \r\n",
       "L 252.971142 79.693902 \r\n",
       "L 253.928875 79.334499 \r\n",
       "L 254.886609 79.200969 \r\n",
       "L 255.844342 79.291911 \r\n",
       "L 256.802075 79.604754 \r\n",
       "L 257.759809 80.135676 \r\n",
       "L 258.717542 80.879524 \r\n",
       "L 259.675276 81.829707 \r\n",
       "L 260.633009 82.978077 \r\n",
       "L 262.548476 85.828021 \r\n",
       "L 264.463943 89.325983 \r\n",
       "L 266.379409 93.327921 \r\n",
       "L 272.12581 105.846846 \r\n",
       "L 273.083543 107.451129 \r\n",
       "L 274.041277 108.696979 \r\n",
       "L 274.99901 109.477524 \r\n",
       "L 275.956743 109.693951 \r\n",
       "L 276.914477 109.279133 \r\n",
       "L 277.87221 108.221394 \r\n",
       "L 278.829943 106.574406 \r\n",
       "L 279.787677 104.445796 \r\n",
       "L 281.703144 99.29371 \r\n",
       "L 284.576344 91.244967 \r\n",
       "L 286.491811 86.797729 \r\n",
       "L 287.449544 85.060205 \r\n",
       "L 288.407277 83.718645 \r\n",
       "L 289.365011 82.818639 \r\n",
       "L 290.322744 82.400046 \r\n",
       "L 291.280478 82.49716 \r\n",
       "L 292.238211 83.138346 \r\n",
       "L 293.195944 84.345036 \r\n",
       "L 294.153678 86.129819 \r\n",
       "L 295.111411 88.493164 \r\n",
       "L 296.069145 91.417831 \r\n",
       "L 297.026878 94.859296 \r\n",
       "L 298.942345 102.866797 \r\n",
       "L 300.857812 110.659029 \r\n",
       "L 301.815545 113.226996 \r\n",
       "L 302.773278 114.039169 \r\n",
       "L 303.731012 112.741919 \r\n",
       "L 304.688745 109.430417 \r\n",
       "L 305.646479 104.440068 \r\n",
       "L 306.604212 98.105232 \r\n",
       "L 307.561945 90.673488 \r\n",
       "L 309.477412 73.132955 \r\n",
       "L 311.392879 52.618146 \r\n",
       "L 313.308346 29.569868 \r\n",
       "L 315.604927 -1 \r\n",
       "M 359.90936 -1 \r\n",
       "L 363.110482 117.329192 \r\n",
       "L 364.068216 91.206854 \r\n",
       "L 365.519375 -1 \r\n",
       "M 384.908836 -1 \r\n",
       "L 385.13835 37.07101 \r\n",
       "L 386.096084 106.921593 \r\n",
       "L 386.810225 -1 \r\n",
       "L 386.810225 -1 \r\n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-dasharray:1,1.65;stroke-dashoffset:0;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_22\">\r\n",
       "    <path clip-path=\"url(#p5a22c3d10f)\" d=\"M 63.551694 289 \r\n",
       "L 64.297663 235.076242 \r\n",
       "L 65.255397 183.468786 \r\n",
       "L 66.21313 161.895754 \r\n",
       "L 67.170863 166.786631 \r\n",
       "L 69.08633 187.780166 \r\n",
       "L 70.044064 196.01681 \r\n",
       "L 71.001797 202.163621 \r\n",
       "L 71.95953 206.350066 \r\n",
       "L 72.917264 208.789582 \r\n",
       "L 73.874997 209.71594 \r\n",
       "L 74.832731 209.360102 \r\n",
       "L 75.790464 207.941161 \r\n",
       "L 76.748197 205.662912 \r\n",
       "L 77.705931 202.712921 \r\n",
       "L 79.621398 195.469258 \r\n",
       "L 84.410065 175.972898 \r\n",
       "L 85.367798 172.767553 \r\n",
       "L 86.325531 170.03481 \r\n",
       "L 87.283265 167.872038 \r\n",
       "L 88.240998 166.371399 \r\n",
       "L 89.198731 165.61242 \r\n",
       "L 90.156465 165.648619 \r\n",
       "L 91.114198 166.489922 \r\n",
       "L 92.071932 168.087599 \r\n",
       "L 93.029665 170.331486 \r\n",
       "L 94.945132 176.109507 \r\n",
       "L 97.818332 185.534418 \r\n",
       "L 99.733799 190.984474 \r\n",
       "L 100.691532 193.287282 \r\n",
       "L 101.649266 195.283249 \r\n",
       "L 102.606999 196.971988 \r\n",
       "L 103.564732 198.363955 \r\n",
       "L 104.522466 199.477882 \r\n",
       "L 105.480199 200.338751 \r\n",
       "L 106.437933 200.97617 \r\n",
       "L 107.395666 201.423039 \r\n",
       "L 108.353399 201.714393 \r\n",
       "L 110.268866 201.975169 \r\n",
       "L 114.0998 202.17131 \r\n",
       "L 116.015267 202.554728 \r\n",
       "L 117.930733 203.304806 \r\n",
       "L 119.8462 204.446713 \r\n",
       "L 121.761667 205.935029 \r\n",
       "L 124.634867 208.623071 \r\n",
       "L 136.127668 220.130304 \r\n",
       "L 141.874068 225.597379 \r\n",
       "L 144.747268 228.589993 \r\n",
       "L 147.620469 231.908798 \r\n",
       "L 150.493669 235.59376 \r\n",
       "L 154.324602 240.979677 \r\n",
       "L 161.986469 252.005119 \r\n",
       "L 164.85967 255.706654 \r\n",
       "L 167.73287 258.991832 \r\n",
       "L 170.60607 261.82292 \r\n",
       "L 173.47927 264.207217 \r\n",
       "L 176.35247 266.175219 \r\n",
       "L 179.225671 267.754508 \r\n",
       "L 181.141137 268.593789 \r\n",
       "L 183.056604 269.252921 \r\n",
       "L 184.972071 269.714782 \r\n",
       "L 186.887538 269.955061 \r\n",
       "L 188.803004 269.944179 \r\n",
       "L 190.718471 269.649837 \r\n",
       "L 192.633938 269.039903 \r\n",
       "L 194.549405 268.085439 \r\n",
       "L 196.464872 266.763781 \r\n",
       "L 198.380338 265.061739 \r\n",
       "L 200.295805 262.979069 \r\n",
       "L 202.211272 260.532518 \r\n",
       "L 204.126739 257.760792 \r\n",
       "L 206.999939 253.149554 \r\n",
       "L 211.788606 245.345565 \r\n",
       "L 213.704073 242.765515 \r\n",
       "L 214.661806 241.715087 \r\n",
       "L 215.619539 240.86426 \r\n",
       "L 216.577273 240.237636 \r\n",
       "L 217.535006 239.853178 \r\n",
       "L 218.49274 239.720867 \r\n",
       "L 219.450473 239.842243 \r\n",
       "L 220.408206 240.2109 \r\n",
       "L 221.36594 240.813707 \r\n",
       "L 222.323673 241.632443 \r\n",
       "L 223.281407 242.64547 \r\n",
       "L 225.196873 245.159317 \r\n",
       "L 227.11234 248.161795 \r\n",
       "L 229.98554 253.177034 \r\n",
       "L 233.816474 259.951405 \r\n",
       "L 235.731941 263.046189 \r\n",
       "L 237.647408 265.771557 \r\n",
       "L 239.562874 268.009403 \r\n",
       "L 240.520608 268.911355 \r\n",
       "L 241.478341 269.651759 \r\n",
       "L 242.436075 270.218807 \r\n",
       "L 243.393808 270.60143 \r\n",
       "L 244.351541 270.789336 \r\n",
       "L 245.309275 270.773062 \r\n",
       "L 246.267008 270.544013 \r\n",
       "L 247.224741 270.094526 \r\n",
       "L 248.182475 269.417914 \r\n",
       "L 249.140208 268.508534 \r\n",
       "L 250.097942 267.36184 \r\n",
       "L 251.055675 265.974451 \r\n",
       "L 252.013408 264.344217 \r\n",
       "L 253.928875 260.353181 \r\n",
       "L 255.844342 255.398914 \r\n",
       "L 257.759809 249.516345 \r\n",
       "L 259.675276 242.768455 \r\n",
       "L 261.590742 235.250569 \r\n",
       "L 264.463943 222.834745 \r\n",
       "L 271.168076 192.716078 \r\n",
       "L 273.083543 185.521416 \r\n",
       "L 274.041277 182.483902 \r\n",
       "L 274.99901 179.908541 \r\n",
       "L 275.956743 177.846249 \r\n",
       "L 276.914477 176.325402 \r\n",
       "L 277.87221 175.34598 \r\n",
       "L 278.829943 174.878493 \r\n",
       "L 279.787677 174.868233 \r\n",
       "L 280.74541 175.243176 \r\n",
       "L 281.703144 175.92276 \r\n",
       "L 283.61861 177.872804 \r\n",
       "L 287.449544 182.19816 \r\n",
       "L 288.407277 183.048778 \r\n",
       "L 289.365011 183.725016 \r\n",
       "L 290.322744 184.196784 \r\n",
       "L 291.280478 184.440339 \r\n",
       "L 292.238211 184.438934 \r\n",
       "L 293.195944 184.184086 \r\n",
       "L 294.153678 183.677683 \r\n",
       "L 295.111411 182.935315 \r\n",
       "L 297.026878 180.907241 \r\n",
       "L 298.942345 178.771199 \r\n",
       "L 299.900078 178.103252 \r\n",
       "L 300.857812 178.099204 \r\n",
       "L 301.815545 179.163468 \r\n",
       "L 302.773278 181.723636 \r\n",
       "L 303.731012 186.115679 \r\n",
       "L 304.688745 192.483484 \r\n",
       "L 305.646479 200.775642 \r\n",
       "L 306.604212 210.826762 \r\n",
       "L 307.561945 222.443587 \r\n",
       "L 309.477412 249.708766 \r\n",
       "L 311.392879 281.535607 \r\n",
       "L 311.803747 289 \r\n",
       "M 361.252976 289 \r\n",
       "L 362.152749 236.435983 \r\n",
       "L 363.110482 190.758656 \r\n",
       "L 364.068216 192.836666 \r\n",
       "L 365.025949 227.282282 \r\n",
       "L 366.465972 289 \r\n",
       "M 384.730802 289 \r\n",
       "L 385.13835 246.289498 \r\n",
       "L 386.096084 245.833383 \r\n",
       "L 386.283647 289 \r\n",
       "L 386.283647 289 \r\n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-dasharray:3.7,1.6;stroke-dashoffset:0;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_23\">\r\n",
       "    <path clip-path=\"url(#p5a22c3d10f)\" d=\"M 62.347243 -1 \r\n",
       "L 62.382196 0.672074 \r\n",
       "L 63.33993 38.965108 \r\n",
       "L 64.297663 69.210907 \r\n",
       "L 65.255397 87.525908 \r\n",
       "L 66.21313 80.962678 \r\n",
       "L 69.003879 -1 \r\n",
       "M 82.077284 -1 \r\n",
       "L 86.325531 46.538303 \r\n",
       "L 88.240998 64.900352 \r\n",
       "L 89.198731 72.80459 \r\n",
       "L 90.156465 79.722505 \r\n",
       "L 91.114198 85.611574 \r\n",
       "L 92.071932 90.494181 \r\n",
       "L 93.029665 94.45984 \r\n",
       "L 93.987398 97.650077 \r\n",
       "L 94.945132 100.231391 \r\n",
       "L 95.902865 102.368122 \r\n",
       "L 97.818332 105.854796 \r\n",
       "L 104.522466 116.878143 \r\n",
       "L 110.268866 126.955865 \r\n",
       "L 112.184333 129.905267 \r\n",
       "L 114.0998 132.42591 \r\n",
       "L 116.015267 134.446981 \r\n",
       "L 117.930733 135.970187 \r\n",
       "L 119.8462 137.072405 \r\n",
       "L 121.761667 137.888356 \r\n",
       "L 126.550334 139.732392 \r\n",
       "L 128.465801 140.762786 \r\n",
       "L 130.381267 142.105581 \r\n",
       "L 132.296734 143.806145 \r\n",
       "L 134.212201 145.875271 \r\n",
       "L 136.127668 148.293868 \r\n",
       "L 138.043135 151.018389 \r\n",
       "L 140.916335 155.539241 \r\n",
       "L 150.493669 171.283629 \r\n",
       "L 153.366869 175.415408 \r\n",
       "L 156.240069 179.114409 \r\n",
       "L 159.113269 182.394517 \r\n",
       "L 161.986469 185.286919 \r\n",
       "L 164.85967 187.807774 \r\n",
       "L 167.73287 189.941344 \r\n",
       "L 169.648337 191.125813 \r\n",
       "L 171.563803 192.097283 \r\n",
       "L 173.47927 192.834671 \r\n",
       "L 175.394737 193.319054 \r\n",
       "L 177.310204 193.537114 \r\n",
       "L 179.225671 193.484232 \r\n",
       "L 181.141137 193.166792 \r\n",
       "L 183.056604 192.603327 \r\n",
       "L 184.972071 191.824378 \r\n",
       "L 187.845271 190.344329 \r\n",
       "L 197.422605 184.865143 \r\n",
       "L 199.338072 184.044652 \r\n",
       "L 201.253539 183.391546 \r\n",
       "L 203.169005 182.90566 \r\n",
       "L 206.042206 182.424286 \r\n",
       "L 209.873139 181.82053 \r\n",
       "L 211.788606 181.208984 \r\n",
       "L 212.746339 180.735566 \r\n",
       "L 213.704073 180.11026 \r\n",
       "L 214.661806 179.302976 \r\n",
       "L 215.619539 178.285953 \r\n",
       "L 216.577273 177.035928 \r\n",
       "L 217.535006 175.536098 \r\n",
       "L 218.49274 173.777464 \r\n",
       "L 220.408206 169.488601 \r\n",
       "L 222.323673 164.248931 \r\n",
       "L 224.23914 158.216277 \r\n",
       "L 227.11234 148.093547 \r\n",
       "L 231.901007 129.852539 \r\n",
       "L 235.731941 115.396032 \r\n",
       "L 238.605141 105.296315 \r\n",
       "L 240.520608 99.11745 \r\n",
       "L 242.436075 93.49087 \r\n",
       "L 244.351541 88.498422 \r\n",
       "L 246.267008 84.211013 \r\n",
       "L 248.182475 80.687647 \r\n",
       "L 249.140208 79.227375 \r\n",
       "L 250.097942 77.974234 \r\n",
       "L 251.055675 76.931691 \r\n",
       "L 252.013408 76.102212 \r\n",
       "L 252.971142 75.487202 \r\n",
       "L 253.928875 75.086953 \r\n",
       "L 254.886609 74.900569 \r\n",
       "L 255.844342 74.925899 \r\n",
       "L 256.802075 75.159448 \r\n",
       "L 257.759809 75.596283 \r\n",
       "L 258.717542 76.229923 \r\n",
       "L 259.675276 77.052204 \r\n",
       "L 260.633009 78.053123 \r\n",
       "L 262.548476 80.540493 \r\n",
       "L 264.463943 83.56692 \r\n",
       "L 267.337143 88.725083 \r\n",
       "L 270.210343 93.836101 \r\n",
       "L 271.168076 95.318614 \r\n",
       "L 272.12581 96.595325 \r\n",
       "L 273.083543 97.602499 \r\n",
       "L 274.041277 98.276632 \r\n",
       "L 274.99901 98.560667 \r\n",
       "L 275.956743 98.412081 \r\n",
       "L 276.914477 97.811152 \r\n",
       "L 277.87221 96.766793 \r\n",
       "L 278.829943 95.317607 \r\n",
       "L 279.787677 93.527609 \r\n",
       "L 281.703144 89.259847 \r\n",
       "L 284.576344 82.482643 \r\n",
       "L 286.491811 78.653763 \r\n",
       "L 287.449544 77.14481 \r\n",
       "L 288.407277 75.977939 \r\n",
       "L 289.365011 75.19885 \r\n",
       "L 290.322744 74.846903 \r\n",
       "L 291.280478 74.954866 \r\n",
       "L 292.238211 75.548209 \r\n",
       "L 293.195944 76.643787 \r\n",
       "L 294.153678 78.247685 \r\n",
       "L 295.111411 80.351827 \r\n",
       "L 296.069145 82.928765 \r\n",
       "L 297.984611 89.242987 \r\n",
       "L 299.900078 96.181192 \r\n",
       "L 300.857812 99.258031 \r\n",
       "L 301.815545 101.565994 \r\n",
       "L 302.773278 102.67932 \r\n",
       "L 303.731012 102.262896 \r\n",
       "L 304.688745 100.172657 \r\n",
       "L 305.646479 96.458745 \r\n",
       "L 306.604212 91.284128 \r\n",
       "L 307.561945 84.838436 \r\n",
       "L 308.519679 77.291128 \r\n",
       "L 310.435145 59.40683 \r\n",
       "L 312.350612 38.403659 \r\n",
       "L 314.266079 14.790241 \r\n",
       "L 315.451567 -1 \r\n",
       "M 359.965564 -1 \r\n",
       "L 362.152749 81.878995 \r\n",
       "L 363.110482 106.858118 \r\n",
       "L 364.068216 83.641305 \r\n",
       "L 365.46959 -1 \r\n",
       "M 384.928302 -1 \r\n",
       "L 385.13835 33.395974 \r\n",
       "L 386.096084 101.386531 \r\n",
       "L 386.792903 -1 \r\n",
       "L 386.792903 -1 \r\n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-dasharray:3.7,1.6;stroke-dashoffset:0;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_24\">\r\n",
       "    <path clip-path=\"url(#p5a22c3d10f)\" d=\"M 35.565661 96.702599 \r\n",
       "L 39.396595 97.21538 \r\n",
       "L 43.227529 97.987435 \r\n",
       "L 47.058462 99.045556 \r\n",
       "L 49.931662 100.040592 \r\n",
       "L 52.804863 101.217131 \r\n",
       "L 55.678063 102.581512 \r\n",
       "L 58.551263 104.138536 \r\n",
       "L 61.424463 105.891435 \r\n",
       "L 65.255397 108.53593 \r\n",
       "L 69.08633 111.530831 \r\n",
       "L 72.917264 114.870536 \r\n",
       "L 76.748197 118.544456 \r\n",
       "L 80.579131 122.537144 \r\n",
       "L 84.410065 126.828481 \r\n",
       "L 89.198731 132.574839 \r\n",
       "L 93.987398 138.692268 \r\n",
       "L 99.733799 146.429648 \r\n",
       "L 107.395666 157.205427 \r\n",
       "L 124.634867 181.683595 \r\n",
       "L 130.381267 189.370036 \r\n",
       "L 135.169934 195.409012 \r\n",
       "L 139.000868 199.94156 \r\n",
       "L 142.831802 204.166397 \r\n",
       "L 146.662735 208.047612 \r\n",
       "L 150.493669 211.552668 \r\n",
       "L 153.366869 213.917153 \r\n",
       "L 156.240069 216.043156 \r\n",
       "L 159.113269 217.921429 \r\n",
       "L 161.986469 219.544161 \r\n",
       "L 164.85967 220.905038 \r\n",
       "L 167.73287 221.999282 \r\n",
       "L 170.60607 222.823686 \r\n",
       "L 173.47927 223.376634 \r\n",
       "L 176.35247 223.658114 \r\n",
       "L 179.225671 223.669718 \r\n",
       "L 182.098871 223.414627 \r\n",
       "L 184.972071 222.897596 \r\n",
       "L 187.845271 222.124918 \r\n",
       "L 190.718471 221.104378 \r\n",
       "L 193.591671 219.845205 \r\n",
       "L 196.464872 218.358007 \r\n",
       "L 199.338072 216.654697 \r\n",
       "L 203.169005 214.070317 \r\n",
       "L 206.999939 211.159462 \r\n",
       "L 210.830873 207.959538 \r\n",
       "L 215.619539 203.614463 \r\n",
       "L 220.408206 198.963668 \r\n",
       "L 227.11234 192.104969 \r\n",
       "L 244.351541 174.208914 \r\n",
       "L 250.097942 168.672139 \r\n",
       "L 254.886609 164.387834 \r\n",
       "L 258.717542 161.22428 \r\n",
       "L 262.548476 158.32772 \r\n",
       "L 266.379409 155.723807 \r\n",
       "L 270.210343 153.433845 \r\n",
       "L 274.041277 151.474521 \r\n",
       "L 276.914477 150.229338 \r\n",
       "L 279.787677 149.180103 \r\n",
       "L 282.660877 148.328408 \r\n",
       "L 285.534077 147.67424 \r\n",
       "L 288.407277 147.215983 \r\n",
       "L 291.280478 146.950431 \r\n",
       "L 294.153678 146.872805 \r\n",
       "L 297.026878 146.976792 \r\n",
       "L 299.900078 147.25458 \r\n",
       "L 303.731012 147.879136 \r\n",
       "L 307.561945 148.770367 \r\n",
       "L 311.392879 149.898532 \r\n",
       "L 316.181546 151.5907 \r\n",
       "L 320.970213 153.528288 \r\n",
       "L 327.674347 156.501911 \r\n",
       "L 340.124881 162.087122 \r\n",
       "L 344.913548 163.989901 \r\n",
       "L 348.744481 165.32034 \r\n",
       "L 352.575415 166.432912 \r\n",
       "L 356.406348 167.285806 \r\n",
       "L 359.279549 167.731228 \r\n",
       "L 362.152749 167.992711 \r\n",
       "L 365.025949 168.055641 \r\n",
       "L 367.899149 167.90651 \r\n",
       "L 370.772349 167.533004 \r\n",
       "L 373.645549 166.924093 \r\n",
       "L 376.51875 166.070103 \r\n",
       "L 379.39195 164.962781 \r\n",
       "L 382.26515 163.595355 \r\n",
       "L 385.13835 161.962578 \r\n",
       "L 388.01155 160.060765 \r\n",
       "L 390.884751 157.887816 \r\n",
       "L 393.757951 155.443233 \r\n",
       "L 396.631151 152.728124 \r\n",
       "L 399.504351 149.745189 \r\n",
       "L 402.377551 146.498712 \r\n",
       "L 406.208485 141.770414 \r\n",
       "L 410.039418 136.602104 \r\n",
       "L 413.870352 131.016299 \r\n",
       "L 417.701286 125.039791 \r\n",
       "L 417.701286 125.039791 \r\n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-opacity:0.85;stroke-width:1.4;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"PathCollection_1\">\r\n",
       "    <defs>\r\n",
       "     <path d=\"M 0 2 \r\n",
       "C 0.530406 2 1.03916 1.789267 1.414214 1.414214 \r\n",
       "C 1.789267 1.03916 2 0.530406 2 0 \r\n",
       "C 2 -0.530406 1.789267 -1.03916 1.414214 -1.414214 \r\n",
       "C 1.03916 -1.789267 0.530406 -2 0 -2 \r\n",
       "C -0.530406 -2 -1.03916 -1.789267 -1.414214 -1.414214 \r\n",
       "C -1.789267 -1.03916 -2 -0.530406 -2 0 \r\n",
       "C -2 0.530406 -1.789267 1.03916 -1.414214 1.414214 \r\n",
       "C -1.03916 1.789267 -0.530406 2 0 2 \r\n",
       "z\r\n",
       "\" id=\"m97b693431d\" style=\"stroke:#0000ff;stroke-opacity:0.5;\"/>\r\n",
       "    </defs>\r\n",
       "    <g clip-path=\"url(#p5a22c3d10f)\">\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"65.877788\" xlink:href=\"#m97b693431d\" y=\"126.098871\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"385.754195\" xlink:href=\"#m97b693431d\" y=\"160.886808\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"363.386578\" xlink:href=\"#m97b693431d\" y=\"145.781814\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"170.944314\" xlink:href=\"#m97b693431d\" y=\"229.905166\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"149.26573\" xlink:href=\"#m97b693431d\" y=\"210.988486\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"112.013839\" xlink:href=\"#m97b693431d\" y=\"170.578267\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"217.142353\" xlink:href=\"#m97b693431d\" y=\"196.452136\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"277.380478\" xlink:href=\"#m97b693431d\" y=\"136.585595\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"218.073629\" xlink:href=\"#m97b693431d\" y=\"219.89878\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"119.728903\" xlink:href=\"#m97b693431d\" y=\"164.317374\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"140.154803\" xlink:href=\"#m97b693431d\" y=\"189.39303\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"302.551038\" xlink:href=\"#m97b693431d\" y=\"141.752378\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"203.237039\" xlink:href=\"#m97b693431d\" y=\"222.869408\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"158.970998\" xlink:href=\"#m97b693431d\" y=\"204.28743\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"216.532846\" xlink:href=\"#m97b693431d\" y=\"205.961868\"/>\r\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;\" x=\"91.798013\" xlink:href=\"#m97b693431d\" y=\"127.919949\"/>\r\n",
       "    </g>\r\n",
       "   </g>\r\n",
       "   <g id=\"legend_1\">\r\n",
       "    <g id=\"patch_5\">\r\n",
       "     <path d=\"M 176.844099 74.347146 \r\n",
       "L 276.422849 74.347146 \r\n",
       "L 276.422849 6.834646 \r\n",
       "L 176.844099 6.834646 \r\n",
       "z\r\n",
       "\" style=\"fill:#ffffff;stroke:#000000;stroke-linejoin:miter;\"/>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_25\">\r\n",
       "     <path d=\"M 183.244099 16.513396 \r\n",
       "L 199.244099 16.513396 \r\n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linejoin:miter;\"/>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_26\"/>\r\n",
       "    <g id=\"text_10\">\r\n",
       "     <!-- fitting curve -->\r\n",
       "     <defs>\r\n",
       "      <path d=\"M 37.109375 75.984375 \r\n",
       "L 37.109375 68.5 \r\n",
       "L 28.515625 68.5 \r\n",
       "Q 23.6875 68.5 21.796875 66.546875 \r\n",
       "Q 19.921875 64.59375 19.921875 59.515625 \r\n",
       "L 19.921875 54.6875 \r\n",
       "L 34.71875 54.6875 \r\n",
       "L 34.71875 47.703125 \r\n",
       "L 19.921875 47.703125 \r\n",
       "L 19.921875 0 \r\n",
       "L 10.890625 0 \r\n",
       "L 10.890625 47.703125 \r\n",
       "L 2.296875 47.703125 \r\n",
       "L 2.296875 54.6875 \r\n",
       "L 10.890625 54.6875 \r\n",
       "L 10.890625 58.5 \r\n",
       "Q 10.890625 67.625 15.140625 71.796875 \r\n",
       "Q 19.390625 75.984375 28.609375 75.984375 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-102\"/>\r\n",
       "      <path d=\"M 9.421875 54.6875 \r\n",
       "L 18.40625 54.6875 \r\n",
       "L 18.40625 0 \r\n",
       "L 9.421875 0 \r\n",
       "z\r\n",
       "M 9.421875 75.984375 \r\n",
       "L 18.40625 75.984375 \r\n",
       "L 18.40625 64.59375 \r\n",
       "L 9.421875 64.59375 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-105\"/>\r\n",
       "      <path d=\"M 18.3125 70.21875 \r\n",
       "L 18.3125 54.6875 \r\n",
       "L 36.8125 54.6875 \r\n",
       "L 36.8125 47.703125 \r\n",
       "L 18.3125 47.703125 \r\n",
       "L 18.3125 18.015625 \r\n",
       "Q 18.3125 11.328125 20.140625 9.421875 \r\n",
       "Q 21.96875 7.515625 27.59375 7.515625 \r\n",
       "L 36.8125 7.515625 \r\n",
       "L 36.8125 0 \r\n",
       "L 27.59375 0 \r\n",
       "Q 17.1875 0 13.234375 3.875 \r\n",
       "Q 9.28125 7.765625 9.28125 18.015625 \r\n",
       "L 9.28125 47.703125 \r\n",
       "L 2.6875 47.703125 \r\n",
       "L 2.6875 54.6875 \r\n",
       "L 9.28125 54.6875 \r\n",
       "L 9.28125 70.21875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-116\"/>\r\n",
       "      <path d=\"M 54.890625 33.015625 \r\n",
       "L 54.890625 0 \r\n",
       "L 45.90625 0 \r\n",
       "L 45.90625 32.71875 \r\n",
       "Q 45.90625 40.484375 42.875 44.328125 \r\n",
       "Q 39.84375 48.1875 33.796875 48.1875 \r\n",
       "Q 26.515625 48.1875 22.3125 43.546875 \r\n",
       "Q 18.109375 38.921875 18.109375 30.90625 \r\n",
       "L 18.109375 0 \r\n",
       "L 9.078125 0 \r\n",
       "L 9.078125 54.6875 \r\n",
       "L 18.109375 54.6875 \r\n",
       "L 18.109375 46.1875 \r\n",
       "Q 21.34375 51.125 25.703125 53.5625 \r\n",
       "Q 30.078125 56 35.796875 56 \r\n",
       "Q 45.21875 56 50.046875 50.171875 \r\n",
       "Q 54.890625 44.34375 54.890625 33.015625 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-110\"/>\r\n",
       "      <path d=\"M 45.40625 27.984375 \r\n",
       "Q 45.40625 37.75 41.375 43.109375 \r\n",
       "Q 37.359375 48.484375 30.078125 48.484375 \r\n",
       "Q 22.859375 48.484375 18.828125 43.109375 \r\n",
       "Q 14.796875 37.75 14.796875 27.984375 \r\n",
       "Q 14.796875 18.265625 18.828125 12.890625 \r\n",
       "Q 22.859375 7.515625 30.078125 7.515625 \r\n",
       "Q 37.359375 7.515625 41.375 12.890625 \r\n",
       "Q 45.40625 18.265625 45.40625 27.984375 \r\n",
       "z\r\n",
       "M 54.390625 6.78125 \r\n",
       "Q 54.390625 -7.171875 48.1875 -13.984375 \r\n",
       "Q 42 -20.796875 29.203125 -20.796875 \r\n",
       "Q 24.46875 -20.796875 20.265625 -20.09375 \r\n",
       "Q 16.0625 -19.390625 12.109375 -17.921875 \r\n",
       "L 12.109375 -9.1875 \r\n",
       "Q 16.0625 -11.328125 19.921875 -12.34375 \r\n",
       "Q 23.78125 -13.375 27.78125 -13.375 \r\n",
       "Q 36.625 -13.375 41.015625 -8.765625 \r\n",
       "Q 45.40625 -4.15625 45.40625 5.171875 \r\n",
       "L 45.40625 9.625 \r\n",
       "Q 42.625 4.78125 38.28125 2.390625 \r\n",
       "Q 33.9375 0 27.875 0 \r\n",
       "Q 17.828125 0 11.671875 7.65625 \r\n",
       "Q 5.515625 15.328125 5.515625 27.984375 \r\n",
       "Q 5.515625 40.671875 11.671875 48.328125 \r\n",
       "Q 17.828125 56 27.875 56 \r\n",
       "Q 33.9375 56 38.28125 53.609375 \r\n",
       "Q 42.625 51.21875 45.40625 46.390625 \r\n",
       "L 45.40625 54.6875 \r\n",
       "L 54.390625 54.6875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-103\"/>\r\n",
       "      <path id=\"DejaVuSans-32\"/>\r\n",
       "      <path d=\"M 48.78125 52.59375 \r\n",
       "L 48.78125 44.1875 \r\n",
       "Q 44.96875 46.296875 41.140625 47.34375 \r\n",
       "Q 37.3125 48.390625 33.40625 48.390625 \r\n",
       "Q 24.65625 48.390625 19.8125 42.84375 \r\n",
       "Q 14.984375 37.3125 14.984375 27.296875 \r\n",
       "Q 14.984375 17.28125 19.8125 11.734375 \r\n",
       "Q 24.65625 6.203125 33.40625 6.203125 \r\n",
       "Q 37.3125 6.203125 41.140625 7.25 \r\n",
       "Q 44.96875 8.296875 48.78125 10.40625 \r\n",
       "L 48.78125 2.09375 \r\n",
       "Q 45.015625 0.34375 40.984375 -0.53125 \r\n",
       "Q 36.96875 -1.421875 32.421875 -1.421875 \r\n",
       "Q 20.0625 -1.421875 12.78125 6.34375 \r\n",
       "Q 5.515625 14.109375 5.515625 27.296875 \r\n",
       "Q 5.515625 40.671875 12.859375 48.328125 \r\n",
       "Q 20.21875 56 33.015625 56 \r\n",
       "Q 37.15625 56 41.109375 55.140625 \r\n",
       "Q 45.0625 54.296875 48.78125 52.59375 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-99\"/>\r\n",
       "      <path d=\"M 8.5 21.578125 \r\n",
       "L 8.5 54.6875 \r\n",
       "L 17.484375 54.6875 \r\n",
       "L 17.484375 21.921875 \r\n",
       "Q 17.484375 14.15625 20.5 10.265625 \r\n",
       "Q 23.53125 6.390625 29.59375 6.390625 \r\n",
       "Q 36.859375 6.390625 41.078125 11.03125 \r\n",
       "Q 45.3125 15.671875 45.3125 23.6875 \r\n",
       "L 45.3125 54.6875 \r\n",
       "L 54.296875 54.6875 \r\n",
       "L 54.296875 0 \r\n",
       "L 45.3125 0 \r\n",
       "L 45.3125 8.40625 \r\n",
       "Q 42.046875 3.421875 37.71875 1 \r\n",
       "Q 33.40625 -1.421875 27.6875 -1.421875 \r\n",
       "Q 18.265625 -1.421875 13.375 4.4375 \r\n",
       "Q 8.5 10.296875 8.5 21.578125 \r\n",
       "z\r\n",
       "M 31.109375 56 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-117\"/>\r\n",
       "      <path d=\"M 41.109375 46.296875 \r\n",
       "Q 39.59375 47.171875 37.8125 47.578125 \r\n",
       "Q 36.03125 48 33.890625 48 \r\n",
       "Q 26.265625 48 22.1875 43.046875 \r\n",
       "Q 18.109375 38.09375 18.109375 28.8125 \r\n",
       "L 18.109375 0 \r\n",
       "L 9.078125 0 \r\n",
       "L 9.078125 54.6875 \r\n",
       "L 18.109375 54.6875 \r\n",
       "L 18.109375 46.1875 \r\n",
       "Q 20.953125 51.171875 25.484375 53.578125 \r\n",
       "Q 30.03125 56 36.53125 56 \r\n",
       "Q 37.453125 56 38.578125 55.875 \r\n",
       "Q 39.703125 55.765625 41.0625 55.515625 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-114\"/>\r\n",
       "      <path d=\"M 2.984375 54.6875 \r\n",
       "L 12.5 54.6875 \r\n",
       "L 29.59375 8.796875 \r\n",
       "L 46.6875 54.6875 \r\n",
       "L 56.203125 54.6875 \r\n",
       "L 35.6875 0 \r\n",
       "L 23.484375 0 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-118\"/>\r\n",
       "      <path d=\"M 56.203125 29.59375 \r\n",
       "L 56.203125 25.203125 \r\n",
       "L 14.890625 25.203125 \r\n",
       "Q 15.484375 15.921875 20.484375 11.0625 \r\n",
       "Q 25.484375 6.203125 34.421875 6.203125 \r\n",
       "Q 39.59375 6.203125 44.453125 7.46875 \r\n",
       "Q 49.3125 8.734375 54.109375 11.28125 \r\n",
       "L 54.109375 2.78125 \r\n",
       "Q 49.265625 0.734375 44.1875 -0.34375 \r\n",
       "Q 39.109375 -1.421875 33.890625 -1.421875 \r\n",
       "Q 20.796875 -1.421875 13.15625 6.1875 \r\n",
       "Q 5.515625 13.8125 5.515625 26.8125 \r\n",
       "Q 5.515625 40.234375 12.765625 48.109375 \r\n",
       "Q 20.015625 56 32.328125 56 \r\n",
       "Q 43.359375 56 49.78125 48.890625 \r\n",
       "Q 56.203125 41.796875 56.203125 29.59375 \r\n",
       "z\r\n",
       "M 47.21875 32.234375 \r\n",
       "Q 47.125 39.59375 43.09375 43.984375 \r\n",
       "Q 39.0625 48.390625 32.421875 48.390625 \r\n",
       "Q 24.90625 48.390625 20.390625 44.140625 \r\n",
       "Q 15.875 39.890625 15.1875 32.171875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-101\"/>\r\n",
       "     </defs>\r\n",
       "     <g transform=\"translate(205.644099 19.313396)scale(0.08 -0.08)\">\r\n",
       "      <use xlink:href=\"#DejaVuSans-102\"/>\r\n",
       "      <use x=\"35.205078\" xlink:href=\"#DejaVuSans-105\"/>\r\n",
       "      <use x=\"62.988281\" xlink:href=\"#DejaVuSans-116\"/>\r\n",
       "      <use x=\"102.197266\" xlink:href=\"#DejaVuSans-116\"/>\r\n",
       "      <use x=\"141.40625\" xlink:href=\"#DejaVuSans-105\"/>\r\n",
       "      <use x=\"169.189453\" xlink:href=\"#DejaVuSans-110\"/>\r\n",
       "      <use x=\"232.568359\" xlink:href=\"#DejaVuSans-103\"/>\r\n",
       "      <use x=\"296.044922\" xlink:href=\"#DejaVuSans-32\"/>\r\n",
       "      <use x=\"327.832031\" xlink:href=\"#DejaVuSans-99\"/>\r\n",
       "      <use x=\"382.8125\" xlink:href=\"#DejaVuSans-117\"/>\r\n",
       "      <use x=\"446.191406\" xlink:href=\"#DejaVuSans-114\"/>\r\n",
       "      <use x=\"487.304688\" xlink:href=\"#DejaVuSans-118\"/>\r\n",
       "      <use x=\"546.484375\" xlink:href=\"#DejaVuSans-101\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_27\">\r\n",
       "     <path d=\"M 183.244099 28.255896 \r\n",
       "L 199.244099 28.255896 \r\n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-dasharray:1,1.65;stroke-dashoffset:0;stroke-linejoin:miter;\"/>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_28\"/>\r\n",
       "    <g id=\"text_11\">\r\n",
       "     <!-- 95.0% conf. int. -->\r\n",
       "     <defs>\r\n",
       "      <path d=\"M 10.984375 1.515625 \r\n",
       "L 10.984375 10.5 \r\n",
       "Q 14.703125 8.734375 18.5 7.8125 \r\n",
       "Q 22.3125 6.890625 25.984375 6.890625 \r\n",
       "Q 35.75 6.890625 40.890625 13.453125 \r\n",
       "Q 46.046875 20.015625 46.78125 33.40625 \r\n",
       "Q 43.953125 29.203125 39.59375 26.953125 \r\n",
       "Q 35.25 24.703125 29.984375 24.703125 \r\n",
       "Q 19.046875 24.703125 12.671875 31.3125 \r\n",
       "Q 6.296875 37.9375 6.296875 49.421875 \r\n",
       "Q 6.296875 60.640625 12.9375 67.421875 \r\n",
       "Q 19.578125 74.21875 30.609375 74.21875 \r\n",
       "Q 43.265625 74.21875 49.921875 64.515625 \r\n",
       "Q 56.59375 54.828125 56.59375 36.375 \r\n",
       "Q 56.59375 19.140625 48.40625 8.859375 \r\n",
       "Q 40.234375 -1.421875 26.421875 -1.421875 \r\n",
       "Q 22.703125 -1.421875 18.890625 -0.6875 \r\n",
       "Q 15.09375 0.046875 10.984375 1.515625 \r\n",
       "z\r\n",
       "M 30.609375 32.421875 \r\n",
       "Q 37.25 32.421875 41.125 36.953125 \r\n",
       "Q 45.015625 41.5 45.015625 49.421875 \r\n",
       "Q 45.015625 57.28125 41.125 61.84375 \r\n",
       "Q 37.25 66.40625 30.609375 66.40625 \r\n",
       "Q 23.96875 66.40625 20.09375 61.84375 \r\n",
       "Q 16.21875 57.28125 16.21875 49.421875 \r\n",
       "Q 16.21875 41.5 20.09375 36.953125 \r\n",
       "Q 23.96875 32.421875 30.609375 32.421875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-57\"/>\r\n",
       "      <path d=\"M 10.796875 72.90625 \r\n",
       "L 49.515625 72.90625 \r\n",
       "L 49.515625 64.59375 \r\n",
       "L 19.828125 64.59375 \r\n",
       "L 19.828125 46.734375 \r\n",
       "Q 21.96875 47.46875 24.109375 47.828125 \r\n",
       "Q 26.265625 48.1875 28.421875 48.1875 \r\n",
       "Q 40.625 48.1875 47.75 41.5 \r\n",
       "Q 54.890625 34.8125 54.890625 23.390625 \r\n",
       "Q 54.890625 11.625 47.5625 5.09375 \r\n",
       "Q 40.234375 -1.421875 26.90625 -1.421875 \r\n",
       "Q 22.3125 -1.421875 17.546875 -0.640625 \r\n",
       "Q 12.796875 0.140625 7.71875 1.703125 \r\n",
       "L 7.71875 11.625 \r\n",
       "Q 12.109375 9.234375 16.796875 8.0625 \r\n",
       "Q 21.484375 6.890625 26.703125 6.890625 \r\n",
       "Q 35.15625 6.890625 40.078125 11.328125 \r\n",
       "Q 45.015625 15.765625 45.015625 23.390625 \r\n",
       "Q 45.015625 31 40.078125 35.4375 \r\n",
       "Q 35.15625 39.890625 26.703125 39.890625 \r\n",
       "Q 22.75 39.890625 18.8125 39.015625 \r\n",
       "Q 14.890625 38.140625 10.796875 36.28125 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-53\"/>\r\n",
       "      <path d=\"M 10.6875 12.40625 \r\n",
       "L 21 12.40625 \r\n",
       "L 21 0 \r\n",
       "L 10.6875 0 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-46\"/>\r\n",
       "      <path d=\"M 72.703125 32.078125 \r\n",
       "Q 68.453125 32.078125 66.03125 28.46875 \r\n",
       "Q 63.625 24.859375 63.625 18.40625 \r\n",
       "Q 63.625 12.0625 66.03125 8.421875 \r\n",
       "Q 68.453125 4.78125 72.703125 4.78125 \r\n",
       "Q 76.859375 4.78125 79.265625 8.421875 \r\n",
       "Q 81.6875 12.0625 81.6875 18.40625 \r\n",
       "Q 81.6875 24.8125 79.265625 28.4375 \r\n",
       "Q 76.859375 32.078125 72.703125 32.078125 \r\n",
       "z\r\n",
       "M 72.703125 38.28125 \r\n",
       "Q 80.421875 38.28125 84.953125 32.90625 \r\n",
       "Q 89.5 27.546875 89.5 18.40625 \r\n",
       "Q 89.5 9.28125 84.9375 3.921875 \r\n",
       "Q 80.375 -1.421875 72.703125 -1.421875 \r\n",
       "Q 64.890625 -1.421875 60.34375 3.921875 \r\n",
       "Q 55.8125 9.28125 55.8125 18.40625 \r\n",
       "Q 55.8125 27.59375 60.375 32.9375 \r\n",
       "Q 64.9375 38.28125 72.703125 38.28125 \r\n",
       "z\r\n",
       "M 22.3125 68.015625 \r\n",
       "Q 18.109375 68.015625 15.6875 64.375 \r\n",
       "Q 13.28125 60.75 13.28125 54.390625 \r\n",
       "Q 13.28125 47.953125 15.671875 44.328125 \r\n",
       "Q 18.0625 40.71875 22.3125 40.71875 \r\n",
       "Q 26.5625 40.71875 28.96875 44.328125 \r\n",
       "Q 31.390625 47.953125 31.390625 54.390625 \r\n",
       "Q 31.390625 60.6875 28.953125 64.34375 \r\n",
       "Q 26.515625 68.015625 22.3125 68.015625 \r\n",
       "z\r\n",
       "M 66.40625 74.21875 \r\n",
       "L 74.21875 74.21875 \r\n",
       "L 28.609375 -1.421875 \r\n",
       "L 20.796875 -1.421875 \r\n",
       "z\r\n",
       "M 22.3125 74.21875 \r\n",
       "Q 30.03125 74.21875 34.609375 68.875 \r\n",
       "Q 39.203125 63.53125 39.203125 54.390625 \r\n",
       "Q 39.203125 45.171875 34.640625 39.84375 \r\n",
       "Q 30.078125 34.515625 22.3125 34.515625 \r\n",
       "Q 14.546875 34.515625 10.03125 39.859375 \r\n",
       "Q 5.515625 45.21875 5.515625 54.390625 \r\n",
       "Q 5.515625 63.484375 10.046875 68.84375 \r\n",
       "Q 14.59375 74.21875 22.3125 74.21875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-37\"/>\r\n",
       "      <path d=\"M 30.609375 48.390625 \r\n",
       "Q 23.390625 48.390625 19.1875 42.75 \r\n",
       "Q 14.984375 37.109375 14.984375 27.296875 \r\n",
       "Q 14.984375 17.484375 19.15625 11.84375 \r\n",
       "Q 23.34375 6.203125 30.609375 6.203125 \r\n",
       "Q 37.796875 6.203125 41.984375 11.859375 \r\n",
       "Q 46.1875 17.53125 46.1875 27.296875 \r\n",
       "Q 46.1875 37.015625 41.984375 42.703125 \r\n",
       "Q 37.796875 48.390625 30.609375 48.390625 \r\n",
       "z\r\n",
       "M 30.609375 56 \r\n",
       "Q 42.328125 56 49.015625 48.375 \r\n",
       "Q 55.71875 40.765625 55.71875 27.296875 \r\n",
       "Q 55.71875 13.875 49.015625 6.21875 \r\n",
       "Q 42.328125 -1.421875 30.609375 -1.421875 \r\n",
       "Q 18.84375 -1.421875 12.171875 6.21875 \r\n",
       "Q 5.515625 13.875 5.515625 27.296875 \r\n",
       "Q 5.515625 40.765625 12.171875 48.375 \r\n",
       "Q 18.84375 56 30.609375 56 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-111\"/>\r\n",
       "     </defs>\r\n",
       "     <g transform=\"translate(205.644099 31.055896)scale(0.08 -0.08)\">\r\n",
       "      <use xlink:href=\"#DejaVuSans-57\"/>\r\n",
       "      <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\r\n",
       "      <use x=\"127.246094\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "      <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\r\n",
       "      <use x=\"222.65625\" xlink:href=\"#DejaVuSans-37\"/>\r\n",
       "      <use x=\"317.675781\" xlink:href=\"#DejaVuSans-32\"/>\r\n",
       "      <use x=\"349.462891\" xlink:href=\"#DejaVuSans-99\"/>\r\n",
       "      <use x=\"404.443359\" xlink:href=\"#DejaVuSans-111\"/>\r\n",
       "      <use x=\"465.625\" xlink:href=\"#DejaVuSans-110\"/>\r\n",
       "      <use x=\"529.003906\" xlink:href=\"#DejaVuSans-102\"/>\r\n",
       "      <use x=\"564.099609\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "      <use x=\"595.886719\" xlink:href=\"#DejaVuSans-32\"/>\r\n",
       "      <use x=\"627.673828\" xlink:href=\"#DejaVuSans-105\"/>\r\n",
       "      <use x=\"655.457031\" xlink:href=\"#DejaVuSans-110\"/>\r\n",
       "      <use x=\"718.835938\" xlink:href=\"#DejaVuSans-116\"/>\r\n",
       "      <use x=\"758.044922\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_29\">\r\n",
       "     <path d=\"M 183.244099 39.998396 \r\n",
       "L 199.244099 39.998396 \r\n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-dasharray:3.7,1.6;stroke-dashoffset:0;stroke-linejoin:miter;\"/>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_30\"/>\r\n",
       "    <g id=\"text_12\">\r\n",
       "     <!-- 95.0% pred. int. -->\r\n",
       "     <defs>\r\n",
       "      <path d=\"M 18.109375 8.203125 \r\n",
       "L 18.109375 -20.796875 \r\n",
       "L 9.078125 -20.796875 \r\n",
       "L 9.078125 54.6875 \r\n",
       "L 18.109375 54.6875 \r\n",
       "L 18.109375 46.390625 \r\n",
       "Q 20.953125 51.265625 25.265625 53.625 \r\n",
       "Q 29.59375 56 35.59375 56 \r\n",
       "Q 45.5625 56 51.78125 48.09375 \r\n",
       "Q 58.015625 40.1875 58.015625 27.296875 \r\n",
       "Q 58.015625 14.40625 51.78125 6.484375 \r\n",
       "Q 45.5625 -1.421875 35.59375 -1.421875 \r\n",
       "Q 29.59375 -1.421875 25.265625 0.953125 \r\n",
       "Q 20.953125 3.328125 18.109375 8.203125 \r\n",
       "z\r\n",
       "M 48.6875 27.296875 \r\n",
       "Q 48.6875 37.203125 44.609375 42.84375 \r\n",
       "Q 40.53125 48.484375 33.40625 48.484375 \r\n",
       "Q 26.265625 48.484375 22.1875 42.84375 \r\n",
       "Q 18.109375 37.203125 18.109375 27.296875 \r\n",
       "Q 18.109375 17.390625 22.1875 11.75 \r\n",
       "Q 26.265625 6.109375 33.40625 6.109375 \r\n",
       "Q 40.53125 6.109375 44.609375 11.75 \r\n",
       "Q 48.6875 17.390625 48.6875 27.296875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-112\"/>\r\n",
       "      <path d=\"M 45.40625 46.390625 \r\n",
       "L 45.40625 75.984375 \r\n",
       "L 54.390625 75.984375 \r\n",
       "L 54.390625 0 \r\n",
       "L 45.40625 0 \r\n",
       "L 45.40625 8.203125 \r\n",
       "Q 42.578125 3.328125 38.25 0.953125 \r\n",
       "Q 33.9375 -1.421875 27.875 -1.421875 \r\n",
       "Q 17.96875 -1.421875 11.734375 6.484375 \r\n",
       "Q 5.515625 14.40625 5.515625 27.296875 \r\n",
       "Q 5.515625 40.1875 11.734375 48.09375 \r\n",
       "Q 17.96875 56 27.875 56 \r\n",
       "Q 33.9375 56 38.25 53.625 \r\n",
       "Q 42.578125 51.265625 45.40625 46.390625 \r\n",
       "z\r\n",
       "M 14.796875 27.296875 \r\n",
       "Q 14.796875 17.390625 18.875 11.75 \r\n",
       "Q 22.953125 6.109375 30.078125 6.109375 \r\n",
       "Q 37.203125 6.109375 41.296875 11.75 \r\n",
       "Q 45.40625 17.390625 45.40625 27.296875 \r\n",
       "Q 45.40625 37.203125 41.296875 42.84375 \r\n",
       "Q 37.203125 48.484375 30.078125 48.484375 \r\n",
       "Q 22.953125 48.484375 18.875 42.84375 \r\n",
       "Q 14.796875 37.203125 14.796875 27.296875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-100\"/>\r\n",
       "     </defs>\r\n",
       "     <g transform=\"translate(205.644099 42.798396)scale(0.08 -0.08)\">\r\n",
       "      <use xlink:href=\"#DejaVuSans-57\"/>\r\n",
       "      <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\r\n",
       "      <use x=\"127.246094\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "      <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\r\n",
       "      <use x=\"222.65625\" xlink:href=\"#DejaVuSans-37\"/>\r\n",
       "      <use x=\"317.675781\" xlink:href=\"#DejaVuSans-32\"/>\r\n",
       "      <use x=\"349.462891\" xlink:href=\"#DejaVuSans-112\"/>\r\n",
       "      <use x=\"412.939453\" xlink:href=\"#DejaVuSans-114\"/>\r\n",
       "      <use x=\"454.021484\" xlink:href=\"#DejaVuSans-101\"/>\r\n",
       "      <use x=\"515.544922\" xlink:href=\"#DejaVuSans-100\"/>\r\n",
       "      <use x=\"579.021484\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "      <use x=\"610.808594\" xlink:href=\"#DejaVuSans-32\"/>\r\n",
       "      <use x=\"642.595703\" xlink:href=\"#DejaVuSans-105\"/>\r\n",
       "      <use x=\"670.378906\" xlink:href=\"#DejaVuSans-110\"/>\r\n",
       "      <use x=\"733.757812\" xlink:href=\"#DejaVuSans-116\"/>\r\n",
       "      <use x=\"772.966797\" xlink:href=\"#DejaVuSans-46\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_31\">\r\n",
       "     <path d=\"M 183.244099 51.740896 \r\n",
       "L 199.244099 51.740896 \r\n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linejoin:miter;stroke-opacity:0.85;\"/>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_32\"/>\r\n",
       "    <g id=\"text_13\">\r\n",
       "     <!-- true curve -->\r\n",
       "     <g transform=\"translate(205.644099 54.540896)scale(0.08 -0.08)\">\r\n",
       "      <use xlink:href=\"#DejaVuSans-116\"/>\r\n",
       "      <use x=\"39.208984\" xlink:href=\"#DejaVuSans-114\"/>\r\n",
       "      <use x=\"80.322266\" xlink:href=\"#DejaVuSans-117\"/>\r\n",
       "      <use x=\"143.701172\" xlink:href=\"#DejaVuSans-101\"/>\r\n",
       "      <use x=\"205.224609\" xlink:href=\"#DejaVuSans-32\"/>\r\n",
       "      <use x=\"237.011719\" xlink:href=\"#DejaVuSans-99\"/>\r\n",
       "      <use x=\"291.992188\" xlink:href=\"#DejaVuSans-117\"/>\r\n",
       "      <use x=\"355.371094\" xlink:href=\"#DejaVuSans-114\"/>\r\n",
       "      <use x=\"396.484375\" xlink:href=\"#DejaVuSans-118\"/>\r\n",
       "      <use x=\"455.664062\" xlink:href=\"#DejaVuSans-101\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_33\">\r\n",
       "     <path d=\"M 183.244099 63.483396 \r\n",
       "L 199.244099 63.483396 \r\n",
       "\" style=\"fill:none;\"/>\r\n",
       "    </g>\r\n",
       "    <g id=\"line2d_34\">\r\n",
       "     <defs>\r\n",
       "      <path d=\"M 0 3.2 \r\n",
       "C 0.84865 3.2 1.662656 2.862828 2.262742 2.262742 \r\n",
       "C 2.862828 1.662656 3.2 0.84865 3.2 0 \r\n",
       "C 3.2 -0.84865 2.862828 -1.662656 2.262742 -2.262742 \r\n",
       "C 1.662656 -2.862828 0.84865 -3.2 0 -3.2 \r\n",
       "C -0.84865 -3.2 -1.662656 -2.862828 -2.262742 -2.262742 \r\n",
       "C -2.862828 -1.662656 -3.2 -0.84865 -3.2 0 \r\n",
       "C -3.2 0.84865 -2.862828 1.662656 -2.262742 2.262742 \r\n",
       "C -1.662656 2.862828 -0.84865 3.2 0 3.2 \r\n",
       "z\r\n",
       "\" id=\"m4ce949fabd\" style=\"stroke:#0000ff;stroke-opacity:0.5;stroke-width:1.6;\"/>\r\n",
       "     </defs>\r\n",
       "     <g>\r\n",
       "      <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-opacity:0.5;stroke-width:1.6;\" x=\"191.244099\" xlink:href=\"#m4ce949fabd\" y=\"63.483396\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"text_14\">\r\n",
       "     <!-- sample -->\r\n",
       "     <defs>\r\n",
       "      <path d=\"M 44.28125 53.078125 \r\n",
       "L 44.28125 44.578125 \r\n",
       "Q 40.484375 46.53125 36.375 47.5 \r\n",
       "Q 32.28125 48.484375 27.875 48.484375 \r\n",
       "Q 21.1875 48.484375 17.84375 46.4375 \r\n",
       "Q 14.5 44.390625 14.5 40.28125 \r\n",
       "Q 14.5 37.15625 16.890625 35.375 \r\n",
       "Q 19.28125 33.59375 26.515625 31.984375 \r\n",
       "L 29.59375 31.296875 \r\n",
       "Q 39.15625 29.25 43.1875 25.515625 \r\n",
       "Q 47.21875 21.78125 47.21875 15.09375 \r\n",
       "Q 47.21875 7.46875 41.1875 3.015625 \r\n",
       "Q 35.15625 -1.421875 24.609375 -1.421875 \r\n",
       "Q 20.21875 -1.421875 15.453125 -0.5625 \r\n",
       "Q 10.6875 0.296875 5.421875 2 \r\n",
       "L 5.421875 11.28125 \r\n",
       "Q 10.40625 8.6875 15.234375 7.390625 \r\n",
       "Q 20.0625 6.109375 24.8125 6.109375 \r\n",
       "Q 31.15625 6.109375 34.5625 8.28125 \r\n",
       "Q 37.984375 10.453125 37.984375 14.40625 \r\n",
       "Q 37.984375 18.0625 35.515625 20.015625 \r\n",
       "Q 33.0625 21.96875 24.703125 23.78125 \r\n",
       "L 21.578125 24.515625 \r\n",
       "Q 13.234375 26.265625 9.515625 29.90625 \r\n",
       "Q 5.8125 33.546875 5.8125 39.890625 \r\n",
       "Q 5.8125 47.609375 11.28125 51.796875 \r\n",
       "Q 16.75 56 26.8125 56 \r\n",
       "Q 31.78125 56 36.171875 55.265625 \r\n",
       "Q 40.578125 54.546875 44.28125 53.078125 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-115\"/>\r\n",
       "      <path d=\"M 34.28125 27.484375 \r\n",
       "Q 23.390625 27.484375 19.1875 25 \r\n",
       "Q 14.984375 22.515625 14.984375 16.5 \r\n",
       "Q 14.984375 11.71875 18.140625 8.90625 \r\n",
       "Q 21.296875 6.109375 26.703125 6.109375 \r\n",
       "Q 34.1875 6.109375 38.703125 11.40625 \r\n",
       "Q 43.21875 16.703125 43.21875 25.484375 \r\n",
       "L 43.21875 27.484375 \r\n",
       "z\r\n",
       "M 52.203125 31.203125 \r\n",
       "L 52.203125 0 \r\n",
       "L 43.21875 0 \r\n",
       "L 43.21875 8.296875 \r\n",
       "Q 40.140625 3.328125 35.546875 0.953125 \r\n",
       "Q 30.953125 -1.421875 24.3125 -1.421875 \r\n",
       "Q 15.921875 -1.421875 10.953125 3.296875 \r\n",
       "Q 6 8.015625 6 15.921875 \r\n",
       "Q 6 25.140625 12.171875 29.828125 \r\n",
       "Q 18.359375 34.515625 30.609375 34.515625 \r\n",
       "L 43.21875 34.515625 \r\n",
       "L 43.21875 35.40625 \r\n",
       "Q 43.21875 41.609375 39.140625 45 \r\n",
       "Q 35.0625 48.390625 27.6875 48.390625 \r\n",
       "Q 23 48.390625 18.546875 47.265625 \r\n",
       "Q 14.109375 46.140625 10.015625 43.890625 \r\n",
       "L 10.015625 52.203125 \r\n",
       "Q 14.9375 54.109375 19.578125 55.046875 \r\n",
       "Q 24.21875 56 28.609375 56 \r\n",
       "Q 40.484375 56 46.34375 49.84375 \r\n",
       "Q 52.203125 43.703125 52.203125 31.203125 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-97\"/>\r\n",
       "      <path d=\"M 52 44.1875 \r\n",
       "Q 55.375 50.25 60.0625 53.125 \r\n",
       "Q 64.75 56 71.09375 56 \r\n",
       "Q 79.640625 56 84.28125 50.015625 \r\n",
       "Q 88.921875 44.046875 88.921875 33.015625 \r\n",
       "L 88.921875 0 \r\n",
       "L 79.890625 0 \r\n",
       "L 79.890625 32.71875 \r\n",
       "Q 79.890625 40.578125 77.09375 44.375 \r\n",
       "Q 74.3125 48.1875 68.609375 48.1875 \r\n",
       "Q 61.625 48.1875 57.5625 43.546875 \r\n",
       "Q 53.515625 38.921875 53.515625 30.90625 \r\n",
       "L 53.515625 0 \r\n",
       "L 44.484375 0 \r\n",
       "L 44.484375 32.71875 \r\n",
       "Q 44.484375 40.625 41.703125 44.40625 \r\n",
       "Q 38.921875 48.1875 33.109375 48.1875 \r\n",
       "Q 26.21875 48.1875 22.15625 43.53125 \r\n",
       "Q 18.109375 38.875 18.109375 30.90625 \r\n",
       "L 18.109375 0 \r\n",
       "L 9.078125 0 \r\n",
       "L 9.078125 54.6875 \r\n",
       "L 18.109375 54.6875 \r\n",
       "L 18.109375 46.1875 \r\n",
       "Q 21.1875 51.21875 25.484375 53.609375 \r\n",
       "Q 29.78125 56 35.6875 56 \r\n",
       "Q 41.65625 56 45.828125 52.96875 \r\n",
       "Q 50 49.953125 52 44.1875 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-109\"/>\r\n",
       "      <path d=\"M 9.421875 75.984375 \r\n",
       "L 18.40625 75.984375 \r\n",
       "L 18.40625 0 \r\n",
       "L 9.421875 0 \r\n",
       "z\r\n",
       "\" id=\"DejaVuSans-108\"/>\r\n",
       "     </defs>\r\n",
       "     <g transform=\"translate(205.644099 66.283396)scale(0.08 -0.08)\">\r\n",
       "      <use xlink:href=\"#DejaVuSans-115\"/>\r\n",
       "      <use x=\"52.099609\" xlink:href=\"#DejaVuSans-97\"/>\r\n",
       "      <use x=\"113.378906\" xlink:href=\"#DejaVuSans-109\"/>\r\n",
       "      <use x=\"210.791016\" xlink:href=\"#DejaVuSans-112\"/>\r\n",
       "      <use x=\"274.267578\" xlink:href=\"#DejaVuSans-108\"/>\r\n",
       "      <use x=\"302.050781\" xlink:href=\"#DejaVuSans-101\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "   </g>\r\n",
       "  </g>\r\n",
       " </g>\r\n",
       " <defs>\r\n",
       "  <clipPath id=\"p5a22c3d10f\">\r\n",
       "   <rect height=\"270.190709\" width=\"405.063762\" x=\"24.101593\" y=\"2.834646\"/>\r\n",
       "  </clipPath>\r\n",
       " </defs>\r\n",
       "</svg>\r\n"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "n = 16\n",
    "\n",
    "b = [0.12, 0.23, 0.34, 4.32]\n",
    "σ = 1.5\n",
    "f_true = (x ->  b[1] + b[2]*x + b[3]*x^2 + b[4]*sin(x))\n",
    "\n",
    "seed!(102)\n",
    "x = rand(Uniform(-5, 5), n)\n",
    "y = f_true.(x) + σ*randn(n)\n",
    "\n",
    "F = [x -> x^k for k in 0:10]\n",
    "plot_linear_regression(F, x, f_true; y=y, xs=range(-5.5, 5.5, length=400), ylim=(-10, 24))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "@webio": {
   "lastCommId": null,
   "lastKernelId": null
  },
  "_draft": {
   "nbviewer_url": "https://gist.github.com/0a1ad8936120daafbbb0113ba8c1b62a"
  },
  "gist": {
   "data": {
    "description": "最小二乗法の信頼区間と予測区間",
    "public": true
   },
   "id": "0a1ad8936120daafbbb0113ba8c1b62a"
  },
  "jupytext": {
   "formats": "ipynb,md"
  },
  "kernelspec": {
   "display_name": "Julia depwarn -O3 1.6.0-DEV",
   "language": "julia",
   "name": "julia-depwarn--o3-1.6"
  },
  "language_info": {
   "file_extension": ".jl",
   "mimetype": "application/julia",
   "name": "julia",
   "version": "1.6.0"
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": true,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}