SS1.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Complementary material to self-study 1\n",
    "Here are some Python snippets whose purpose is to help with the implementational aspects of self-study 1."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Data generation\n",
    "First, here is how one can generate the problem's data:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def circle_2d(m,Lx,Ly,x0,y0,r,inside):\n",
    "    \"\"\"\n",
    "    small circle inside big rectangle.\n",
    "    inside=True => w=+1 inside small rectangle; -1 otherwise\n",
    "    \"\"\"\n",
    "\n",
    "    x_min,y_min = -Lx/2,-Ly/2\n",
    "    x_max,y_max =  Lx/2, Ly/2\n",
    "\n",
    "    if inside:\n",
    "        wi =  1.0\n",
    "    else:\n",
    "        wi = -1.0\n",
    "\n",
    "    z = np.random.rand(m,2)\n",
    "    z[:,0] = x_min + (x_max-x_min)*z[:,0]\n",
    "    z[:,1] = y_min + (y_max-y_min)*z[:,1]\n",
    "    it = np.nditer([z[:,0], z[:,1], None])\n",
    "    for x,y,w in it:\n",
    "        if (x-x0)**2 + (y-y0)**2 <= r**2 :\n",
    "            w[...] =  wi\n",
    "        else:\n",
    "            w[...] = -wi\n",
    "    w = it.operands[2]\n",
    "    return z,w"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def rectangle_2d(m,X0,Y0,Lx,Ly,x0,y0,lx,ly,inside):\n",
    "    \"\"\"\n",
    "    small rectangle inside a big rectangle.\n",
    "    inside=True => w=+1 inside small rectangle; -1 otherwise\n",
    "    \"\"\"\n",
    "\n",
    "    x_min,y_min = X0,Y0\n",
    "    x_max,y_max = X0+Lx,Y0+Ly\n",
    "\n",
    "    if inside:\n",
    "        wi =  1.0\n",
    "    else:\n",
    "        wi = -1.0\n",
    "\n",
    "    z = np.random.rand(m,2)\n",
    "    z[:,0] = x_min + Lx*z[:,0]\n",
    "    z[:,1] = y_min + Ly*z[:,1]\n",
    "    it = np.nditer([z[:,0], z[:,1], None])\n",
    "    for x,y,w in it:\n",
    "        if x>=x0 and x<=x0+lx and \\\n",
    "           y>=x0 and y<=y0+ly:\n",
    "            w[...] =  wi\n",
    "        else:\n",
    "            w[...] = -wi\n",
    "    w = it.operands[2]\n",
    "    return z,w\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Data visualization:\n",
    "Here is a small utility function that extracts the solution components and creates a matrix and vector from them:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "def tomatvec(x,n):\n",
    "    \"convert optimization variables x to matrix-vector format\"\n",
    "    assert(n>0)\n",
    "    n2= int(((n+1)*n)/2)\n",
    "    assert(x.shape==(n2+n,))\n",
    "    A = np.zeros((n,n))\n",
    "    k = 0\n",
    "    for i in range(n):\n",
    "        for j in range(i,n):\n",
    "            A[i,j] = x[k]\n",
    "            A[j,i] = x[k]\n",
    "            k += 1\n",
    "    b = x[n2:]\n",
    "    return A,b"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And a visualization routine:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "def visualize(x,z,w):\n",
    "    \"\"\"\n",
    "    visualize everything\n",
    "    \"\"\"\n",
    "    m = z.shape[0]\n",
    "    n = z.shape[1]\n",
    "    # vizualize ellipse\n",
    "    A,b = tomatvec(x,n)\n",
    "    ellipse_func = lambda z: z.dot(A.dot(z)) + b.dot(z) - 1.0\n",
    "    #\n",
    "    delta = 0.05\n",
    "    xmin,xmax = np.min(z[:,0])-delta,np.max(z[:,0])+delta\n",
    "    ymin,ymax = np.min(z[:,1])-delta,np.max(z[:,1])+delta\n",
    "    #\n",
    "    xx = np.arange(xmin, xmax, delta)\n",
    "    yy = np.arange(ymin, ymax, delta)\n",
    "    X, Y = np.meshgrid(xx, yy)\n",
    "    it = np.nditer([X, Y, None])\n",
    "    for xx,yy,zz in it:\n",
    "        zz[...] = ellipse_func(np.array([xx,yy]))\n",
    "    Z = it.operands[2]\n",
    "    #\n",
    "    zmin = np.min(Z)-0.1\n",
    "    CS = plt.contourf(X, Y, Z, levels=[zmin,0.0],alpha=0.5,\\\n",
    "                                cmap=plt.cm.bone)\n",
    "    CS = plt.contour(X, Y, Z,levels = [0.0],colors='k')\n",
    "    # # vizualize data\n",
    "    plt.scatter(z[:,0],z[:,1],s=5*np.ones_like(z[:,0]),c=w,marker='.',\\\n",
    "                cmap=plt.cm.seismic)\n",
    "    plt.grid(True)\n",
    "    plt.xlabel('x')\n",
    "    plt.ylabel('y')\n",
    "    #plt.colorbar()\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let us now generate some data, take an initial guess of sorts, and visualize the situation:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# number of points\n",
    "m =1000\n",
    "# generate some points which are labelled \"1\" inside a small rectangle with lower left corner (0,0) \n",
    "# and sides (0.4,0.4)\n",
    "# all points are in a larger rectangle with ll corner (-0.5,-0.5) and sides (1.0,1.0)\n",
    "z,w = rectangle_2d(m,-0.5,-0.5,1.0,1.0,0.,0.,0.4,0.4,True)\n",
    "# we work in two dimensions\n",
    "n = 2\n",
    "n2= int(((n+1)*n)/2)\n",
    "# total number of variables\n",
    "N =n2+n\n",
    "# initial guess\n",
    "x0=np.zeros(N)\n",
    "x0[[0,2]]=[10,20]\n",
    "\n",
    "# and plot everything\n",
    "visualize(x0,z,w)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note, in the figure above red points are labelled with 1, blue points are labeled with -1, and the gray ellipsoid is the set $\\hat{S}_{A,b}$ corresponding to our initial guess $x_0$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Linesearches"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "def armijo_linesearch(f,df,x,p,alpha0,c1):\n",
    "    alpha = alpha0\n",
    "    rho = 0.5\n",
    "    f0  = f(x)\n",
    "    df0 = c1*df(x).dot(p)\n",
    "    assert(df0 < 0)\n",
    "    while f(x+alpha*p) > f0+alpha*df0:\n",
    "        alpha = alpha*rho\n",
    "    return alpha"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "# linesearch for satisfying weak Wolfe conditions\n",
    "def bisection_linesearch(f,df,x,p,alpha0,c1,c2):\n",
    "    alpha_min, alpha_max = 0.0, np.inf\n",
    "    alpha = alpha0\n",
    "    fx   = f(x)\n",
    "    dfx  = df(x)\n",
    "    dfxp = dfx.dot(p)\n",
    "    assert(dfxp < 0)\n",
    "\n",
    "    while alpha < 1.0E+10:\n",
    "        #print(alpha,alpha_min,alpha_max)\n",
    "        if np.abs(alpha_max-alpha_min)<1.0E-10:\n",
    "            return alpha\n",
    "        if f(x+alpha*p) > fx + alpha*c1*dfxp:\n",
    "            # no sufficient decrease - too long step\n",
    "            alpha_max = alpha\n",
    "            alpha = 0.5*(alpha_max + alpha_min)\n",
    "        elif df(x+alpha*p).dot(p) < c2*dfxp:\n",
    "            # no curvature condition: too short step\n",
    "            alpha_min = alpha\n",
    "            if alpha_max == np.inf:\n",
    "                alpha *= 2.0\n",
    "            else:\n",
    "                alpha = 0.5*(alpha_max + alpha_min)\n",
    "        else:\n",
    "            # we are done!\n",
    "            return alpha\n",
    "    raise ValueError('Steplength is way too long!')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "def zoom(f,df,x,p,alpha_low,alpha_hi,c1,c2,fx,dfxp):\n",
    "    tol = 1.0E-12\n",
    "    while np.abs(alpha_hi-alpha_low) > tol:\n",
    "        alpha  = 0.5*(alpha_low + alpha_hi)\n",
    "        xalpha = x+alpha*p\n",
    "        falpha = f(x+alpha*p)\n",
    "        flo    = f(x+alpha_low*p)\n",
    "        #fhi    = f(x+alpha_hi *p)\n",
    "        if falpha > fx+c1*alpha*dfxp or falpha >= flo:\n",
    "            alpha_hi = alpha\n",
    "        else:\n",
    "            dfalpha = df(x+alpha*p).dot(p)\n",
    "            if np.abs(dfalpha) <= -c2*dfxp:\n",
    "                return alpha\n",
    "            if dfalpha*(alpha_hi-alpha_low) >= 0.0:\n",
    "                alpha_hi = alpha_low\n",
    "            alpha_low = alpha\n",
    "    print(\"Warning: bisection did not converge\")\n",
    "    return 0.5*(alpha_low+alpha_hi)\n",
    "\n",
    "\n",
    "# linesearch for satisfying strong Wolfe conditions\n",
    "def swolfe_linesearch(f,df,x,p,alpha0,c1,c2):\n",
    "    alpha_max = 1.0E+10\n",
    "    alpha_cur = alpha0\n",
    "    alpha_pre = 0.0\n",
    "    Nmax = 1000\n",
    "\n",
    "    fx   = f(x)\n",
    "    dfx  = df(x)\n",
    "    dfxp = dfx.dot(p)\n",
    "    assert(dfxp < 0)\n",
    "\n",
    "    falpha_pre = 0.0\n",
    "\n",
    "    for i in range(Nmax):\n",
    "        falpha_cur = f(x+alpha_cur*p)\n",
    "        if falpha_cur>fx+alpha_cur*c1*dfxp or (i>1 and falpha_cur >= falpha_pre):\n",
    "            return zoom(f,df,x,p,alpha_pre,alpha_cur,c1,c2,fx,dfxp)\n",
    "        dfalpha = df(x+alpha_cur*p).dot(p)\n",
    "        if np.abs(dfalpha) <= -c2*dfxp:\n",
    "            return alpha_cur\n",
    "        if dfalpha >= 0:\n",
    "            return zoom(f,df,x,p,alpha_cur,alpha_pre,c1,c2,fx,dfxp)\n",
    "        alpha_pre = alpha_cur\n",
    "        falpha_pre=falpha_cur\n",
    "        alpha_cur = 2.0*alpha_cur\n",
    "        if alpha_cur >= alpha_max:\n",
    "            break\n",
    "    raise ValueError('Too many iterations in linesearch!')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Just a test of linesearch implementation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "k =     0, f(x) = 3.228175e+00, |df|=3.138280e+00\n",
      "k =     1, f(x) = 2.259942e-01, |df|=7.018285e-01\n",
      "k =     2, f(x) = 7.059909e-02, |df|=2.190541e-01\n",
      "k =     3, f(x) = 4.224644e-02, |df|=1.532806e-01\n",
      "k =     4, f(x) = 2.386895e-02, |df|=1.928100e-01\n",
      "k =     5, f(x) = 1.021827e-02, |df|=7.057831e-02\n",
      "k =     6, f(x) = 4.963580e-03, |df|=7.603542e-02\n",
      "k =     7, f(x) = 2.782403e-03, |df|=4.773135e-02\n",
      "k =     8, f(x) = 1.705045e-03, |df|=3.157152e-02\n",
      "k =     9, f(x) = 1.121562e-03, |df|=2.207926e-02\n",
      "k =    10, f(x) = 7.461294e-04, |df|=2.806967e-02\n",
      "k =    11, f(x) = 4.564244e-04, |df|=1.035704e-02\n",
      "k =    12, f(x) = 3.401179e-04, |df|=1.125076e-02\n",
      "k =    13, f(x) = 2.897112e-04, |df|=7.261854e-03\n",
      "k =    14, f(x) = 2.623646e-04, |df|=5.077002e-03\n",
      "k =    15, f(x) = 2.433457e-04, |df|=5.279219e-03\n",
      "k =    16, f(x) = 2.298551e-04, |df|=3.726190e-03\n",
      "k =    17, f(x) = 2.198393e-04, |df|=4.086961e-03\n",
      "k =    18, f(x) = 2.114260e-04, |df|=3.001992e-03\n",
      "k =    19, f(x) = 2.043288e-04, |df|=4.471861e-03\n",
      "k =    20, f(x) = 1.962601e-04, |df|=3.081744e-03\n",
      "k =    21, f(x) = 1.906257e-04, |df|=2.452934e-03\n",
      "k =    22, f(x) = 1.836520e-04, |df|=3.362421e-03\n",
      "k =    23, f(x) = 1.779634e-04, |df|=2.521211e-03\n",
      "k =    24, f(x) = 1.725424e-04, |df|=3.782802e-03\n",
      "k =    25, f(x) = 1.664409e-04, |df|=2.670442e-03\n",
      "k =    26, f(x) = 1.619636e-04, |df|=2.182825e-03\n",
      "k =    27, f(x) = 1.559048e-04, |df|=2.904375e-03\n",
      "k =    28, f(x) = 1.513439e-04, |df|=2.240041e-03\n",
      "k =    29, f(x) = 1.463443e-04, |df|=3.237969e-03\n",
      "k =    30, f(x) = 1.415230e-04, |df|=2.349990e-03\n",
      "k =    31, f(x) = 1.373641e-04, |df|=2.705997e-03\n",
      "k =    32, f(x) = 1.333699e-04, |df|=2.094167e-03\n",
      "k =    33, f(x) = 1.289259e-04, |df|=3.012964e-03\n",
      "k =    34, f(x) = 1.247126e-04, |df|=2.194174e-03\n",
      "k =    35, f(x) = 1.210347e-04, |df|=2.521526e-03\n",
      "k =    36, f(x) = 1.175357e-04, |df|=1.958058e-03\n",
      "k =    37, f(x) = 1.135859e-04, |df|=2.803823e-03\n",
      "k =    38, f(x) = 1.099032e-04, |df|=2.048877e-03\n",
      "k =    39, f(x) = 1.069201e-04, |df|=3.187440e-03\n",
      "k =    40, f(x) = 1.028721e-04, |df|=2.196683e-03\n",
      "k =    41, f(x) = 1.000208e-04, |df|=1.753516e-03\n",
      "k =    42, f(x) = 9.644494e-05, |df|=2.415091e-03\n",
      "k =    43, f(x) = 9.349622e-05, |df|=1.815763e-03\n",
      "k =    44, f(x) = 9.064394e-05, |df|=2.718476e-03\n",
      "k =    45, f(x) = 8.747065e-05, |df|=1.924287e-03\n",
      "k =    46, f(x) = 8.513124e-05, |df|=1.577077e-03\n",
      "k =    47, f(x) = 8.194015e-05, |df|=2.091031e-03\n",
      "k =    48, f(x) = 7.955848e-05, |df|=1.617373e-03\n",
      "k =    49, f(x) = 7.691475e-05, |df|=2.328740e-03\n",
      "k =    50, f(x) = 7.440146e-05, |df|=1.694973e-03\n",
      "k =    51, f(x) = 7.221169e-05, |df|=1.948470e-03\n",
      "k =    52, f(x) = 7.012529e-05, |df|=1.512246e-03\n",
      "k =    53, f(x) = 6.777538e-05, |df|=2.167073e-03\n",
      "k =    54, f(x) = 6.557865e-05, |df|=1.582717e-03\n",
      "k =    55, f(x) = 6.380615e-05, |df|=2.464018e-03\n",
      "k =    56, f(x) = 6.139051e-05, |df|=1.697278e-03\n",
      "k =    57, f(x) = 5.969055e-05, |df|=1.354162e-03\n",
      "k =    58, f(x) = 5.756246e-05, |df|=1.866445e-03\n",
      "k =    59, f(x) = 5.580385e-05, |df|=1.402504e-03\n",
      "k =    60, f(x) = 5.410782e-05, |df|=2.101324e-03\n",
      "k =    61, f(x) = 5.221453e-05, |df|=1.486655e-03\n",
      "k =    62, f(x) = 5.081993e-05, |df|=1.217814e-03\n",
      "k =    63, f(x) = 4.892033e-05, |df|=1.615843e-03\n",
      "k =    64, f(x) = 4.750013e-05, |df|=1.249152e-03\n",
      "k =    65, f(x) = 4.592732e-05, |df|=1.799910e-03\n",
      "k =    66, f(x) = 4.442810e-05, |df|=1.309360e-03\n",
      "k =    67, f(x) = 4.312427e-05, |df|=1.505662e-03\n",
      "k =    68, f(x) = 4.188015e-05, |df|=1.167950e-03\n",
      "k =    69, f(x) = 4.048206e-05, |df|=1.674939e-03\n",
      "k =    70, f(x) = 3.917169e-05, |df|=1.222631e-03\n",
      "k =    71, f(x) = 3.811847e-05, |df|=1.904793e-03\n",
      "k =    72, f(x) = 3.667691e-05, |df|=1.311422e-03\n",
      "k =    73, f(x) = 3.566336e-05, |df|=1.045772e-03\n",
      "k =    74, f(x) = 3.439681e-05, |df|=1.442449e-03\n",
      "k =    75, f(x) = 3.334796e-05, |df|=1.083315e-03\n",
      "k =    76, f(x) = 3.233941e-05, |df|=1.624289e-03\n",
      "k =    77, f(x) = 3.120979e-05, |df|=1.148565e-03\n",
      "k =    78, f(x) = 3.037839e-05, |df|=9.404075e-04\n",
      "k =    79, f(x) = 2.924755e-05, |df|=1.248653e-03\n",
      "k =    80, f(x) = 2.840065e-05, |df|=9.647779e-04\n",
      "k =    81, f(x) = 2.746491e-05, |df|=1.391183e-03\n",
      "k =    82, f(x) = 2.657056e-05, |df|=1.011490e-03\n",
      "k =    83, f(x) = 2.579421e-05, |df|=1.163499e-03\n",
      "k =    84, f(x) = 2.505232e-05, |df|=9.020555e-04\n",
      "k =    85, f(x) = 2.422047e-05, |df|=1.294579e-03\n",
      "k =    86, f(x) = 2.343879e-05, |df|=9.444829e-04\n",
      "k =    87, f(x) = 2.281293e-05, |df|=1.472498e-03\n",
      "k =    88, f(x) = 2.195264e-05, |df|=1.013300e-03\n",
      "k =    89, f(x) = 2.134831e-05, |df|=8.076295e-04\n",
      "k =    90, f(x) = 2.059447e-05, |df|=1.114784e-03\n",
      "k =    91, f(x) = 1.996889e-05, |df|=8.367844e-04\n",
      "k =    92, f(x) = 1.936912e-05, |df|=1.255560e-03\n",
      "k =    93, f(x) = 1.869511e-05, |df|=8.873779e-04\n",
      "k =    94, f(x) = 1.819944e-05, |df|=7.262095e-04\n",
      "k =    95, f(x) = 1.752620e-05, |df|=9.649200e-04\n",
      "k =    96, f(x) = 1.702114e-05, |df|=7.451603e-04\n",
      "k =    97, f(x) = 1.646439e-05, |df|=1.075284e-03\n",
      "k =    98, f(x) = 1.593084e-05, |df|=7.814002e-04\n",
      "k =    99, f(x) = 1.546853e-05, |df|=8.991086e-04\n",
      "k =   100, f(x) = 1.502610e-05, |df|=6.967135e-04\n",
      "k =   101, f(x) = 1.453112e-05, |df|=1.000609e-03\n",
      "k =   102, f(x) = 1.406480e-05, |df|=7.296320e-04\n",
      "k =   103, f(x) = 1.365594e-05, |df|=8.378538e-04\n",
      "k =   104, f(x) = 1.326832e-05, |df|=6.514634e-04\n",
      "k =   105, f(x) = 1.282839e-05, |df|=9.311873e-04\n",
      "k =   106, f(x) = 1.242075e-05, |df|=6.813488e-04\n",
      "k =   107, f(x) = 1.208748e-05, |df|=1.058133e-03\n",
      "k =   108, f(x) = 1.163985e-05, |df|=7.301128e-04\n",
      "k =   109, f(x) = 1.132386e-05, |df|=5.835480e-04\n",
      "k =   110, f(x) = 1.092586e-05, |df|=8.022822e-04\n",
      "k =   111, f(x) = 1.059931e-05, |df|=6.039893e-04\n",
      "k =   112, f(x) = 1.028117e-05, |df|=9.026378e-04\n",
      "k =   113, f(x) = 9.930073e-06, |df|=6.397554e-04\n",
      "k =   114, f(x) = 9.670714e-06, |df|=5.249485e-04\n",
      "k =   115, f(x) = 9.315691e-06, |df|=6.948162e-04\n",
      "k =   116, f(x) = 9.051819e-06, |df|=5.381385e-04\n",
      "k =   117, f(x) = 8.757239e-06, |df|=7.734096e-04\n",
      "k =   118, f(x) = 8.479021e-06, |df|=5.636778e-04\n",
      "k =   119, f(x) = 8.235503e-06, |df|=6.474774e-04\n",
      "k =   120, f(x) = 8.004319e-06, |df|=5.031895e-04\n",
      "k =   121, f(x) = 7.742477e-06, |df|=7.197483e-04\n",
      "k =   122, f(x) = 7.499272e-06, |df|=5.263773e-04\n",
      "k =   123, f(x) = 7.301130e-06, |df|=8.180092e-04\n",
      "k =   124, f(x) = 7.033959e-06, |df|=5.641700e-04\n",
      "k =   125, f(x) = 6.845510e-06, |df|=4.507057e-04\n",
      "k =   126, f(x) = 6.608533e-06, |df|=6.200649e-04\n",
      "k =   127, f(x) = 6.413729e-06, |df|=4.665796e-04\n",
      "k =   128, f(x) = 6.224440e-06, |df|=6.977554e-04\n",
      "k =   129, f(x) = 6.014916e-06, |df|=4.943105e-04\n",
      "k =   130, f(x) = 5.860250e-06, |df|=4.054284e-04\n",
      "k =   131, f(x) = 5.648803e-06, |df|=5.369658e-04\n",
      "k =   132, f(x) = 5.491402e-06, |df|=4.156853e-04\n",
      "k =   133, f(x) = 5.316041e-06, |df|=5.978194e-04\n",
      "k =   134, f(x) = 5.150026e-06, |df|=4.354980e-04\n",
      "k =   135, f(x) = 5.004950e-06, |df|=5.003829e-04\n",
      "k =   136, f(x) = 4.867043e-06, |df|=3.886942e-04\n",
      "k =   137, f(x) = 4.711150e-06, |df|=5.563418e-04\n",
      "k =   138, f(x) = 4.566023e-06, |df|=4.066837e-04\n",
      "k =   139, f(x) = 4.448176e-06, |df|=6.323965e-04\n",
      "k =   140, f(x) = 4.288687e-06, |df|=4.359713e-04\n",
      "k =   141, f(x) = 4.176277e-06, |df|=3.481391e-04\n",
      "k =   142, f(x) = 4.035131e-06, |df|=4.792591e-04\n",
      "k =   143, f(x) = 3.918896e-06, |df|=3.604646e-04\n",
      "k =   144, f(x) = 3.806227e-06, |df|=5.394002e-04\n",
      "k =   145, f(x) = 3.681163e-06, |df|=3.819633e-04\n",
      "k =   146, f(x) = 3.588906e-06, |df|=3.131588e-04\n",
      "k =   147, f(x) = 3.462924e-06, |df|=4.150054e-04\n",
      "k =   148, f(x) = 3.369010e-06, |df|=3.211336e-04\n",
      "k =   149, f(x) = 3.264572e-06, |df|=4.621203e-04\n",
      "k =   150, f(x) = 3.165485e-06, |df|=3.365017e-04\n",
      "k =   151, f(x) = 3.079022e-06, |df|=3.867365e-04\n",
      "k =   152, f(x) = 2.996733e-06, |df|=3.002906e-04\n",
      "k =   153, f(x) = 2.903872e-06, |df|=4.300618e-04\n",
      "k =   154, f(x) = 2.817248e-06, |df|=3.142453e-04\n",
      "k =   155, f(x) = 2.747111e-06, |df|=4.889252e-04\n",
      "k =   156, f(x) = 2.651879e-06, |df|=3.369391e-04\n",
      "k =   157, f(x) = 2.584803e-06, |df|=2.689573e-04\n",
      "k =   158, f(x) = 2.500689e-06, |df|=3.704598e-04\n",
      "k =   159, f(x) = 2.431310e-06, |df|=2.785259e-04\n",
      "k =   160, f(x) = 2.364200e-06, |df|=4.170121e-04\n",
      "k =   161, f(x) = 2.289527e-06, |df|=2.951904e-04\n",
      "k =   162, f(x) = 2.234473e-06, |df|=2.419368e-04\n",
      "k =   163, f(x) = 2.159365e-06, |df|=3.207825e-04\n",
      "k =   164, f(x) = 2.103307e-06, |df|=2.481358e-04\n",
      "k =   165, f(x) = 2.041062e-06, |df|=3.572565e-04\n",
      "k =   166, f(x) = 1.981899e-06, |df|=2.600541e-04\n",
      "k =   167, f(x) = 1.930333e-06, |df|=2.989406e-04\n",
      "k =   168, f(x) = 1.881208e-06, |df|=2.320436e-04\n",
      "k =   169, f(x) = 1.825847e-06, |df|=3.324804e-04\n",
      "k =   170, f(x) = 1.774119e-06, |df|=2.428659e-04\n",
      "k =   171, f(x) = 1.732330e-06, |df|=3.780341e-04\n",
      "k =   172, f(x) = 1.675444e-06, |df|=2.604470e-04\n",
      "k =   173, f(x) = 1.635396e-06, |df|=2.078406e-04\n",
      "k =   174, f(x) = 1.585223e-06, |df|=2.864003e-04\n",
      "k =   175, f(x) = 1.543789e-06, |df|=2.152668e-04\n",
      "k =   176, f(x) = 1.503770e-06, |df|=3.224295e-04\n",
      "k =   177, f(x) = 1.459161e-06, |df|=2.281809e-04\n",
      "k =   178, f(x) = 1.426285e-06, |df|=1.869746e-04\n",
      "k =   179, f(x) = 1.381461e-06, |df|=2.479985e-04\n",
      "k =   180, f(x) = 1.347977e-06, |df|=1.917913e-04\n",
      "k =   181, f(x) = 1.310833e-06, |df|=2.762300e-04\n",
      "k =   182, f(x) = 1.275484e-06, |df|=2.010312e-04\n",
      "k =   183, f(x) = 1.244696e-06, |df|=2.311256e-04\n",
      "k =   184, f(x) = 1.215347e-06, |df|=1.793710e-04\n",
      "k =   185, f(x) = 1.182297e-06, |df|=2.570849e-04\n",
      "k =   186, f(x) = 1.151384e-06, |df|=1.877609e-04\n",
      "k =   187, f(x) = 1.126441e-06, |df|=2.923329e-04\n",
      "k =   188, f(x) = 1.092437e-06, |df|=2.013769e-04\n",
      "k =   189, f(x) = 1.068503e-06, |df|=1.606828e-04\n",
      "k =   190, f(x) = 1.038530e-06, |df|=2.214658e-04\n",
      "k =   191, f(x) = 1.013762e-06, |df|=1.664435e-04\n",
      "k =   192, f(x) = 9.898530e-07, |df|=2.493448e-04\n",
      "k =   193, f(x) = 9.631812e-07, |df|=1.764472e-04\n",
      "k =   194, f(x) = 9.435258e-07, |df|=1.445769e-04\n",
      "k =   195, f(x) = 9.167303e-07, |df|=1.917880e-04\n",
      "k =   196, f(x) = 8.967071e-07, |df|=1.483174e-04\n",
      "k =   197, f(x) = 8.744965e-07, |df|=2.136334e-04\n",
      "k =   198, f(x) = 8.533540e-07, |df|=1.554771e-04\n",
      "k =   199, f(x) = 8.349379e-07, |df|=1.787576e-04\n",
      "k =   200, f(x) = 8.173806e-07, |df|=1.387360e-04\n",
      "k =   201, f(x) = 7.976050e-07, |df|=1.988433e-04\n",
      "k =   202, f(x) = 7.791090e-07, |df|=1.452365e-04\n",
      "k =   203, f(x) = 7.641756e-07, |df|=2.261100e-04\n",
      "k =   204, f(x) = 7.438275e-07, |df|=1.557761e-04\n",
      "k =   205, f(x) = 7.295018e-07, |df|=1.243150e-04\n",
      "k =   206, f(x) = 7.115511e-07, |df|=1.713191e-04\n",
      "k =   207, f(x) = 6.967234e-07, |df|=1.287804e-04\n",
      "k =   208, f(x) = 6.823941e-07, |df|=1.928840e-04\n",
      "k =   209, f(x) = 6.664246e-07, |df|=1.365245e-04\n",
      "k =   210, f(x) = 6.546512e-07, |df|=1.118929e-04\n",
      "k =   211, f(x) = 6.385883e-07, |df|=1.483930e-04\n",
      "k =   212, f(x) = 6.265923e-07, |df|=1.147948e-04\n",
      "k =   213, f(x) = 6.132669e-07, |df|=1.652890e-04\n",
      "k =   214, f(x) = 6.005990e-07, |df|=1.203379e-04\n",
      "k =   215, f(x) = 5.895500e-07, |df|=1.383352e-04\n",
      "k =   216, f(x) = 5.790248e-07, |df|=1.074098e-04\n",
      "k =   217, f(x) = 5.671477e-07, |df|=1.538680e-04\n",
      "k =   218, f(x) = 5.560589e-07, |df|=1.124414e-04\n",
      "k =   219, f(x) = 5.470741e-07, |df|=1.749518e-04\n",
      "k =   220, f(x) = 5.348755e-07, |df|=1.205929e-04\n",
      "k =   221, f(x) = 5.262786e-07, |df|=9.629298e-05\n",
      "k =   222, f(x) = 5.154841e-07, |df|=1.326101e-04\n",
      "k =   223, f(x) = 5.065852e-07, |df|=9.975010e-05\n",
      "k =   224, f(x) = 4.979534e-07, |df|=1.492816e-04\n",
      "k =   225, f(x) = 4.883699e-07, |df|=1.057384e-04\n",
      "k =   226, f(x) = 4.812958e-07, |df|=8.672413e-05\n",
      "k =   227, f(x) = 4.716229e-07, |df|=1.149121e-04\n",
      "k =   228, f(x) = 4.644141e-07, |df|=8.897196e-05\n",
      "k =   229, f(x) = 4.563758e-07, |df|=1.279702e-04\n",
      "k =   230, f(x) = 4.487638e-07, |df|=9.325755e-05\n",
      "k =   231, f(x) = 4.421020e-07, |df|=1.071554e-04\n",
      "k =   232, f(x) = 4.357706e-07, |df|=8.328775e-05\n",
      "k =   233, f(x) = 4.285938e-07, |df|=1.191567e-04\n",
      "k =   234, f(x) = 4.219241e-07, |df|=8.717632e-05\n",
      "k =   235, f(x) = 4.164749e-07, |df|=1.354486e-04\n",
      "k =   236, f(x) = 4.091403e-07, |df|=9.347219e-05\n",
      "k =   237, f(x) = 4.039596e-07, |df|=7.473244e-05\n",
      "k =   238, f(x) = 3.974252e-07, |df|=1.027527e-04\n",
      "k =   239, f(x) = 3.920629e-07, |df|=7.740363e-05\n",
      "k =   240, f(x) = 3.868201e-07, |df|=1.156292e-04\n",
      "k =   241, f(x) = 3.810474e-07, |df|=8.202613e-05\n",
      "k =   242, f(x) = 3.767754e-07, |df|=6.737661e-05\n",
      "k =   243, f(x) = 3.709075e-07, |df|=8.910611e-05\n",
      "k =   244, f(x) = 3.665541e-07, |df|=6.911343e-05\n",
      "k =   245, f(x) = 3.616623e-07, |df|=9.918561e-05\n",
      "k =   246, f(x) = 3.570669e-07, |df|=7.241938e-05\n",
      "k =   247, f(x) = 3.533658e-07, |df|=1.128381e-04\n",
      "k =   248, f(x) = 3.483014e-07, |df|=7.773332e-05\n",
      "k =   249, f(x) = 3.447351e-07, |df|=6.204196e-05\n",
      "k =   250, f(x) = 3.402630e-07, |df|=8.553434e-05\n",
      "k =   251, f(x) = 3.365648e-07, |df|=6.432379e-05\n",
      "k =   252, f(x) = 3.329816e-07, |df|=9.633005e-05\n",
      "k =   253, f(x) = 3.289925e-07, |df|=6.823303e-05\n",
      "k =   254, f(x) = 3.260469e-07, |df|=5.597442e-05\n",
      "k =   255, f(x) = 3.220154e-07, |df|=7.418997e-05\n",
      "k =   256, f(x) = 3.190085e-07, |df|=5.746962e-05\n",
      "k =   257, f(x) = 3.156479e-07, |df|=8.264478e-05\n",
      "k =   258, f(x) = 3.124681e-07, |df|=6.027294e-05\n",
      "k =   259, f(x) = 3.096772e-07, |df|=6.924814e-05\n",
      "k =   260, f(x) = 3.070271e-07, |df|=5.388277e-05\n",
      "k =   261, f(x) = 3.040086e-07, |df|=7.701273e-05\n",
      "k =   262, f(x) = 3.012133e-07, |df|=5.642380e-05\n",
      "k =   263, f(x) = 2.989062e-07, |df|=8.753742e-05\n",
      "k =   264, f(x) = 2.958300e-07, |df|=6.050864e-05\n",
      "k =   265, f(x) = 2.936499e-07, |df|=4.847172e-05\n",
      "k =   266, f(x) = 2.908805e-07, |df|=6.650930e-05\n",
      "k =   267, f(x) = 2.886211e-07, |df|=5.022273e-05\n",
      "k =   268, f(x) = 2.863828e-07, |df|=7.482109e-05\n",
      "k =   269, f(x) = 2.839491e-07, |df|=5.322213e-05\n",
      "k =   270, f(x) = 2.821394e-07, |df|=4.383990e-05\n",
      "k =   271, f(x) = 2.793810e-07, |df|=8.437039e-05\n",
      "k =   272, f(x) = 2.767402e-07, |df|=5.673194e-05\n",
      "k =   273, f(x) = 2.749663e-07, |df|=4.410748e-05\n",
      "k =   274, f(x) = 2.729520e-07, |df|=6.314220e-05\n",
      "k =   275, f(x) = 2.710767e-07, |df|=4.623544e-05\n",
      "k =   276, f(x) = 2.695348e-07, |df|=7.180986e-05\n",
      "k =   277, f(x) = 2.674670e-07, |df|=4.962508e-05\n",
      "k =   278, f(x) = 2.660016e-07, |df|=3.975132e-05\n",
      "k =   279, f(x) = 2.641399e-07, |df|=5.458023e-05\n",
      "k =   280, f(x) = 2.626182e-07, |df|=4.122498e-05\n",
      "k =   281, f(x) = 2.611084e-07, |df|=6.142461e-05\n",
      "k =   282, f(x) = 2.594665e-07, |df|=4.371737e-05\n",
      "k =   283, f(x) = 2.582440e-07, |df|=3.603801e-05\n",
      "k =   284, f(x) = 2.563714e-07, |df|=6.928993e-05\n",
      "k =   285, f(x) = 2.545858e-07, |df|=4.664003e-05\n",
      "k =   286, f(x) = 2.533832e-07, |df|=3.631328e-05\n",
      "k =   287, f(x) = 2.520091e-07, |df|=5.191433e-05\n",
      "k =   288, f(x) = 2.507361e-07, |df|=3.808339e-05\n",
      "k =   289, f(x) = 2.496757e-07, |df|=5.903408e-05\n",
      "k =   290, f(x) = 2.482709e-07, |df|=4.088089e-05\n",
      "k =   291, f(x) = 2.472712e-07, |df|=3.282587e-05\n",
      "k =   292, f(x) = 2.459901e-07, |df|=4.495477e-05\n",
      "k =   293, f(x) = 2.449505e-07, |df|=3.405553e-05\n",
      "k =   294, f(x) = 2.439028e-07, |df|=5.057142e-05\n",
      "k =   295, f(x) = 2.427805e-07, |df|=3.611243e-05\n",
      "k =   296, f(x) = 2.419401e-07, |df|=2.986892e-05\n",
      "k =   297, f(x) = 2.406253e-07, |df|=5.703174e-05\n",
      "k =   298, f(x) = 2.394036e-07, |df|=3.853068e-05\n",
      "k =   299, f(x) = 2.385740e-07, |df|=3.013546e-05\n",
      "k =   300, f(x) = 2.376080e-07, |df|=4.285022e-05\n",
      "k =   301, f(x) = 2.367295e-07, |df|=3.159494e-05\n",
      "k =   302, f(x) = 2.359720e-07, |df|=4.867748e-05\n",
      "k =   303, f(x) = 2.350035e-07, |df|=3.388690e-05\n",
      "k =   304, f(x) = 2.343073e-07, |df|=2.736538e-05\n",
      "k =   305, f(x) = 2.333979e-07, |df|=3.721622e-05\n",
      "k =   306, f(x) = 2.326736e-07, |df|=2.838017e-05\n",
      "k =   307, f(x) = 2.319190e-07, |df|=4.180351e-05\n",
      "k =   308, f(x) = 2.311379e-07, |df|=3.006222e-05\n",
      "k =   309, f(x) = 2.304848e-07, |df|=3.488455e-05\n",
      "k =   310, f(x) = 2.298356e-07, |df|=2.681173e-05\n",
      "k =   311, f(x) = 2.291335e-07, |df|=3.908499e-05\n",
      "k =   312, f(x) = 2.284360e-07, |df|=2.833147e-05\n",
      "k =   313, f(x) = 2.278356e-07, |df|=3.273199e-05\n",
      "k =   314, f(x) = 2.272518e-07, |df|=2.536513e-05\n",
      "k =   315, f(x) = 2.265971e-07, |df|=3.657435e-05\n",
      "k =   316, f(x) = 2.259725e-07, |df|=2.673594e-05\n",
      "k =   317, f(x) = 2.254646e-07, |df|=4.170315e-05\n",
      "k =   318, f(x) = 2.247689e-07, |df|=2.882071e-05\n",
      "k =   319, f(x) = 2.242748e-07, |df|=2.311477e-05\n",
      "k =   320, f(x) = 2.236433e-07, |df|=3.179210e-05\n",
      "k =   321, f(x) = 2.231246e-07, |df|=2.408503e-05\n",
      "k =   322, f(x) = 2.226012e-07, |df|=3.583692e-05\n",
      "k =   323, f(x) = 2.220367e-07, |df|=2.562675e-05\n",
      "k =   324, f(x) = 2.216123e-07, |df|=2.124503e-05\n",
      "k =   325, f(x) = 2.209386e-07, |df|=4.049290e-05\n",
      "k =   326, f(x) = 2.203177e-07, |df|=2.745403e-05\n",
      "k =   327, f(x) = 2.198923e-07, |df|=2.157880e-05\n",
      "k =   328, f(x) = 2.193865e-07, |df|=3.055495e-05\n",
      "k =   329, f(x) = 2.189332e-07, |df|=2.267730e-05\n",
      "k =   330, f(x) = 2.185253e-07, |df|=3.470570e-05\n",
      "k =   331, f(x) = 2.180235e-07, |df|=2.434627e-05\n",
      "k =   332, f(x) = 2.176574e-07, |df|=1.983182e-05\n",
      "k =   333, f(x) = 2.171650e-07, |df|=2.672975e-05\n",
      "k =   334, f(x) = 2.167819e-07, |df|=2.060511e-05\n",
      "k =   335, f(x) = 2.163615e-07, |df|=2.998532e-05\n",
      "k =   336, f(x) = 2.159471e-07, |df|=2.183074e-05\n",
      "k =   337, f(x) = 2.155843e-07, |df|=2.519938e-05\n",
      "k =   338, f(x) = 2.152339e-07, |df|=1.964446e-05\n",
      "k =   339, f(x) = 2.148304e-07, |df|=2.816602e-05\n",
      "k =   340, f(x) = 2.144535e-07, |df|=2.074386e-05\n",
      "k =   341, f(x) = 2.141305e-07, |df|=3.210014e-05\n",
      "k =   342, f(x) = 2.137095e-07, |df|=2.237108e-05\n",
      "k =   343, f(x) = 2.134055e-07, |df|=1.811437e-05\n",
      "k =   344, f(x) = 2.130037e-07, |df|=2.465773e-05\n",
      "k =   345, f(x) = 2.126830e-07, |df|=1.889843e-05\n",
      "k =   346, f(x) = 2.123400e-07, |df|=2.774835e-05\n",
      "k =   347, f(x) = 2.119903e-07, |df|=2.010058e-05\n",
      "k =   348, f(x) = 2.116893e-07, |df|=2.328716e-05\n",
      "k =   349, f(x) = 2.113938e-07, |df|=1.807648e-05\n",
      "k =   350, f(x) = 2.110592e-07, |df|=2.609995e-05\n",
      "k =   351, f(x) = 2.107391e-07, |df|=1.915279e-05\n",
      "k =   352, f(x) = 2.104713e-07, |df|=2.980515e-05\n",
      "k =   353, f(x) = 2.101114e-07, |df|=2.071553e-05\n",
      "k =   354, f(x) = 2.098525e-07, |df|=1.673645e-05\n",
      "k =   355, f(x) = 2.095126e-07, |df|=2.288587e-05\n",
      "k =   356, f(x) = 2.092379e-07, |df|=1.751001e-05\n",
      "k =   357, f(x) = 2.089464e-07, |df|=2.579754e-05\n",
      "k =   358, f(x) = 2.086453e-07, |df|=1.866805e-05\n",
      "k =   359, f(x) = 2.083870e-07, |df|=2.165650e-05\n",
      "k =   360, f(x) = 2.081319e-07, |df|=1.680554e-05\n",
      "k =   361, f(x) = 2.078434e-07, |df|=2.430237e-05\n",
      "k =   362, f(x) = 2.075658e-07, |df|=1.783992e-05\n",
      "k =   363, f(x) = 2.073331e-07, |df|=2.777245e-05\n",
      "k =   364, f(x) = 2.070200e-07, |df|=1.932127e-05\n",
      "k =   365, f(x) = 2.067943e-07, |df|=1.563219e-05\n",
      "k =   366, f(x) = 2.064964e-07, |df|=2.136190e-05\n",
      "k =   367, f(x) = 2.062561e-07, |df|=1.637863e-05\n",
      "k =   368, f(x) = 2.059982e-07, |df|=2.408645e-05\n",
      "k =   369, f(x) = 2.057342e-07, |df|=1.747718e-05\n",
      "k =   370, f(x) = 2.055052e-07, |df|=2.025794e-05\n",
      "k =   371, f(x) = 2.052803e-07, |df|=1.577359e-05\n",
      "k =   372, f(x) = 2.050221e-07, |df|=2.272944e-05\n",
      "k =   373, f(x) = 2.047770e-07, |df|=1.675227e-05\n",
      "k =   374, f(x) = 2.045657e-07, |df|=2.596310e-05\n",
      "k =   375, f(x) = 2.042890e-07, |df|=1.814067e-05\n",
      "k =   376, f(x) = 2.040879e-07, |df|=1.474638e-05\n",
      "k =   377, f(x) = 2.038183e-07, |df|=2.004351e-05\n",
      "k =   378, f(x) = 2.036039e-07, |df|=1.545360e-05\n",
      "k =   379, f(x) = 2.033678e-07, |df|=2.257770e-05\n",
      "k =   380, f(x) = 2.031321e-07, |df|=1.648219e-05\n",
      "k =   381, f(x) = 2.029233e-07, |df|=1.905150e-05\n",
      "k =   382, f(x) = 2.027212e-07, |df|=1.493270e-05\n",
      "k =   383, f(x) = 2.024827e-07, |df|=2.134578e-05\n",
      "k =   384, f(x) = 2.022626e-07, |df|=1.584651e-05\n",
      "k =   385, f(x) = 2.020638e-07, |df|=2.434564e-05\n",
      "k =   386, f(x) = 2.018158e-07, |df|=1.713512e-05\n",
      "k =   387, f(x) = 2.016331e-07, |df|=1.403342e-05\n",
      "k =   388, f(x) = 2.013825e-07, |df|=1.889660e-05\n",
      "k =   389, f(x) = 2.011878e-07, |df|=1.469344e-05\n",
      "k =   390, f(x) = 2.009654e-07, |df|=2.124107e-05\n",
      "k =   391, f(x) = 2.007520e-07, |df|=1.564589e-05\n",
      "k =   392, f(x) = 2.005686e-07, |df|=2.429144e-05\n",
      "k =   393, f(x) = 2.003266e-07, |df|=1.697567e-05\n",
      "k =   394, f(x) = 2.001505e-07, |df|=1.380905e-05\n",
      "k =   395, f(x) = 1.999136e-07, |df|=1.878027e-05\n",
      "k =   396, f(x) = 1.997249e-07, |df|=1.450024e-05\n",
      "k =   397, f(x) = 1.995157e-07, |df|=2.116908e-05\n",
      "k =   398, f(x) = 1.993076e-07, |df|=1.548647e-05\n",
      "k =   399, f(x) = 1.991371e-07, |df|=2.426451e-05\n",
      "k =   400, f(x) = 1.988998e-07, |df|=1.685244e-05\n",
      "k =   401, f(x) = 1.987289e-07, |df|=1.362627e-05\n",
      "k =   402, f(x) = 1.985034e-07, |df|=1.869515e-05\n",
      "k =   403, f(x) = 1.983194e-07, |df|=1.434467e-05\n",
      "k =   404, f(x) = 1.981212e-07, |df|=2.112347e-05\n",
      "k =   405, f(x) = 1.979174e-07, |df|=1.536058e-05\n",
      "k =   406, f(x) = 1.977390e-07, |df|=1.781123e-05\n",
      "k =   407, f(x) = 1.975640e-07, |df|=1.391977e-05\n",
      "k =   408, f(x) = 1.973597e-07, |df|=2.000588e-05\n",
      "k =   409, f(x) = 1.971677e-07, |df|=1.481974e-05\n",
      "k =   410, f(x) = 1.969965e-07, |df|=2.285663e-05\n",
      "k =   411, f(x) = 1.967789e-07, |df|=1.606666e-05\n",
      "k =   412, f(x) = 1.966189e-07, |df|=1.314945e-05\n",
      "k =   413, f(x) = 1.963995e-07, |df|=1.775211e-05\n",
      "k =   414, f(x) = 1.962280e-07, |df|=1.380271e-05\n",
      "k =   415, f(x) = 1.960319e-07, |df|=1.997940e-05\n",
      "k =   416, f(x) = 1.958430e-07, |df|=1.472598e-05\n",
      "k =   417, f(x) = 1.956799e-07, |df|=2.286443e-05\n",
      "k =   418, f(x) = 1.954650e-07, |df|=1.599851e-05\n",
      "k =   419, f(x) = 1.953081e-07, |df|=1.303636e-05\n",
      "k =   420, f(x) = 1.950958e-07, |df|=1.771175e-05\n",
      "k =   421, f(x) = 1.949271e-07, |df|=1.370819e-05\n",
      "k =   422, f(x) = 1.947380e-07, |df|=1.996882e-05\n",
      "k =   423, f(x) = 1.945515e-07, |df|=1.465227e-05\n",
      "k =   424, f(x) = 1.943954e-07, |df|=2.288552e-05\n",
      "k =   425, f(x) = 1.941826e-07, |df|=1.594794e-05\n",
      "k =   426, f(x) = 1.940282e-07, |df|=1.294349e-05\n",
      "k =   427, f(x) = 1.938220e-07, |df|=1.768653e-05\n",
      "k =   428, f(x) = 1.936556e-07, |df|=1.363190e-05\n",
      "k =   429, f(x) = 1.934724e-07, |df|=1.997106e-05\n",
      "k =   430, f(x) = 1.932880e-07, |df|=1.459477e-05\n",
      "k =   431, f(x) = 1.931379e-07, |df|=2.291732e-05\n",
      "k =   432, f(x) = 1.929266e-07, |df|=1.591153e-05\n",
      "k =   433, f(x) = 1.927745e-07, |df|=1.286697e-05\n",
      "k =   434, f(x) = 1.925734e-07, |df|=1.767350e-05\n",
      "k =   435, f(x) = 1.924089e-07, |df|=1.357031e-05\n",
      "k =   436, f(x) = 1.922309e-07, |df|=1.998364e-05\n",
      "k =   437, f(x) = 1.920481e-07, |df|=1.455032e-05\n",
      "k =   438, f(x) = 1.918872e-07, |df|=1.687061e-05\n",
      "k =   439, f(x) = 1.917296e-07, |df|=1.320950e-05\n",
      "k =   440, f(x) = 1.915441e-07, |df|=1.895520e-05\n",
      "k =   441, f(x) = 1.913708e-07, |df|=1.407562e-05\n",
      "k =   442, f(x) = 1.912138e-07, |df|=2.165545e-05\n",
      "k =   443, f(x) = 1.910172e-07, |df|=1.526493e-05\n",
      "k =   444, f(x) = 1.908718e-07, |df|=1.253133e-05\n",
      "k =   445, f(x) = 1.906705e-07, |df|=1.686399e-05\n",
      "k =   446, f(x) = 1.905143e-07, |df|=1.316086e-05\n",
      "k =   447, f(x) = 1.903330e-07, |df|=1.897088e-05\n",
      "k =   448, f(x) = 1.901609e-07, |df|=1.404111e-05\n",
      "k =   449, f(x) = 1.900083e-07, |df|=2.169588e-05\n",
      "k =   450, f(x) = 1.898125e-07, |df|=1.524684e-05\n",
      "k =   451, f(x) = 1.896685e-07, |df|=1.248022e-05\n",
      "k =   452, f(x) = 1.894709e-07, |df|=1.686472e-05\n",
      "k =   453, f(x) = 1.893160e-07, |df|=1.312088e-05\n",
      "k =   454, f(x) = 1.891383e-07, |df|=1.899286e-05\n",
      "k =   455, f(x) = 1.889673e-07, |df|=1.401435e-05\n",
      "k =   456, f(x) = 1.888185e-07, |df|=2.174168e-05\n",
      "k =   457, f(x) = 1.886235e-07, |df|=1.523560e-05\n",
      "k =   458, f(x) = 1.884807e-07, |df|=1.243684e-05\n",
      "k =   459, f(x) = 1.882863e-07, |df|=1.687141e-05\n",
      "k =   460, f(x) = 1.881324e-07, |df|=1.308789e-05\n",
      "k =   461, f(x) = 1.879582e-07, |df|=1.901999e-05\n",
      "k =   462, f(x) = 1.877879e-07, |df|=1.399385e-05\n",
      "k =   463, f(x) = 1.876427e-07, |df|=2.179188e-05\n",
      "k =   464, f(x) = 1.874482e-07, |df|=1.522991e-05\n",
      "k =   465, f(x) = 1.873065e-07, |df|=1.239969e-05\n",
      "k =   466, f(x) = 1.871151e-07, |df|=1.688297e-05\n",
      "k =   467, f(x) = 1.869621e-07, |df|=1.306057e-05\n",
      "k =   468, f(x) = 1.867909e-07, |df|=1.905134e-05\n",
      "k =   469, f(x) = 1.866214e-07, |df|=1.397845e-05\n",
      "k =   470, f(x) = 1.864794e-07, |df|=2.184572e-05\n",
      "k =   471, f(x) = 1.862854e-07, |df|=1.522874e-05\n",
      "k =   472, f(x) = 1.861445e-07, |df|=1.236759e-05\n",
      "k =   473, f(x) = 1.859558e-07, |df|=1.689850e-05\n",
      "k =   474, f(x) = 1.858037e-07, |df|=1.303783e-05\n",
      "k =   475, f(x) = 1.856353e-07, |df|=1.908615e-05\n",
      "k =   476, f(x) = 1.854663e-07, |df|=1.396718e-05\n",
      "k =   477, f(x) = 1.853274e-07, |df|=2.190259e-05\n",
      "k =   478, f(x) = 1.851337e-07, |df|=1.523126e-05\n",
      "k =   479, f(x) = 1.849937e-07, |df|=1.233957e-05\n",
      "k =   480, f(x) = 1.848076e-07, |df|=1.691730e-05\n",
      "k =   481, f(x) = 1.846561e-07, |df|=1.301883e-05\n",
      "k =   482, f(x) = 1.844904e-07, |df|=1.912386e-05\n",
      "k =   483, f(x) = 1.843219e-07, |df|=1.395929e-05\n",
      "k =   484, f(x) = 1.841723e-07, |df|=1.616813e-05\n",
      "k =   485, f(x) = 1.840266e-07, |df|=1.269476e-05\n",
      "k =   486, f(x) = 1.838532e-07, |df|=1.815725e-05\n",
      "k =   487, f(x) = 1.836929e-07, |df|=1.352476e-05\n",
      "k =   488, f(x) = 1.835450e-07, |df|=2.073192e-05\n",
      "k =   489, f(x) = 1.833633e-07, |df|=1.466036e-05\n",
      "k =   490, f(x) = 1.832281e-07, |df|=1.207345e-05\n",
      "k =   491, f(x) = 1.830393e-07, |df|=1.618436e-05\n",
      "k =   492, f(x) = 1.828942e-07, |df|=1.267673e-05\n",
      "k =   493, f(x) = 1.827231e-07, |df|=1.819079e-05\n",
      "k =   494, f(x) = 1.825633e-07, |df|=1.351652e-05\n",
      "k =   495, f(x) = 1.824180e-07, |df|=2.078556e-05\n",
      "k =   496, f(x) = 1.822365e-07, |df|=1.466418e-05\n",
      "k =   497, f(x) = 1.821020e-07, |df|=1.205005e-05\n",
      "k =   498, f(x) = 1.819153e-07, |df|=1.620270e-05\n",
      "k =   499, f(x) = 1.817707e-07, |df|=1.266096e-05\n",
      "k =   500, f(x) = 1.816020e-07, |df|=1.822626e-05\n",
      "k =   501, f(x) = 1.814425e-07, |df|=1.351039e-05\n",
      "k =   502, f(x) = 1.812997e-07, |df|=2.084095e-05\n",
      "k =   503, f(x) = 1.811184e-07, |df|=1.466995e-05\n",
      "k =   504, f(x) = 1.809845e-07, |df|=1.202866e-05\n",
      "k =   505, f(x) = 1.807999e-07, |df|=1.622282e-05\n",
      "k =   506, f(x) = 1.806558e-07, |df|=1.264707e-05\n",
      "k =   507, f(x) = 1.804892e-07, |df|=1.826337e-05\n",
      "k =   508, f(x) = 1.803302e-07, |df|=1.350601e-05\n",
      "k =   509, f(x) = 1.801898e-07, |df|=2.089787e-05\n",
      "k =   510, f(x) = 1.800086e-07, |df|=1.467735e-05\n",
      "k =   511, f(x) = 1.798753e-07, |df|=1.200893e-05\n",
      "k =   512, f(x) = 1.796926e-07, |df|=1.624449e-05\n",
      "k =   513, f(x) = 1.795491e-07, |df|=1.263475e-05\n",
      "k =   514, f(x) = 1.793846e-07, |df|=1.830193e-05\n",
      "k =   515, f(x) = 1.792258e-07, |df|=1.350311e-05\n",
      "k =   516, f(x) = 1.790878e-07, |df|=2.095615e-05\n",
      "k =   517, f(x) = 1.789067e-07, |df|=1.468616e-05\n",
      "k =   518, f(x) = 1.787740e-07, |df|=1.199057e-05\n",
      "k =   519, f(x) = 1.785932e-07, |df|=1.626748e-05\n",
      "k =   520, f(x) = 1.784501e-07, |df|=1.262374e-05\n",
      "k =   521, f(x) = 1.782877e-07, |df|=1.834174e-05\n",
      "k =   522, f(x) = 1.781292e-07, |df|=1.350148e-05\n",
      "k =   523, f(x) = 1.779935e-07, |df|=2.101564e-05\n",
      "k =   524, f(x) = 1.778124e-07, |df|=1.469619e-05\n",
      "k =   525, f(x) = 1.776803e-07, |df|=1.197337e-05\n",
      "k =   526, f(x) = 1.775014e-07, |df|=1.629164e-05\n",
      "k =   527, f(x) = 1.773587e-07, |df|=1.261386e-05\n",
      "k =   528, f(x) = 1.771983e-07, |df|=1.838269e-05\n",
      "k =   529, f(x) = 1.770401e-07, |df|=1.350094e-05\n",
      "k =   530, f(x) = 1.769067e-07, |df|=2.107624e-05\n",
      "k =   531, f(x) = 1.767256e-07, |df|=1.470727e-05\n",
      "k =   532, f(x) = 1.765939e-07, |df|=1.195715e-05\n",
      "k =   533, f(x) = 1.764169e-07, |df|=1.631684e-05\n",
      "k =   534, f(x) = 1.762745e-07, |df|=1.260494e-05\n",
      "k =   535, f(x) = 1.761162e-07, |df|=1.842466e-05\n",
      "k =   536, f(x) = 1.759582e-07, |df|=1.350135e-05\n",
      "k =   537, f(x) = 1.758271e-07, |df|=2.113786e-05\n",
      "k =   538, f(x) = 1.756460e-07, |df|=1.471930e-05\n",
      "k =   539, f(x) = 1.755148e-07, |df|=1.194177e-05\n",
      "k =   540, f(x) = 1.753395e-07, |df|=1.634297e-05\n",
      "k =   541, f(x) = 1.751976e-07, |df|=1.259685e-05\n",
      "k =   542, f(x) = 1.750412e-07, |df|=1.846757e-05\n",
      "k =   543, f(x) = 1.748834e-07, |df|=1.350260e-05\n",
      "k =   544, f(x) = 1.747545e-07, |df|=2.120042e-05\n",
      "k =   545, f(x) = 1.745734e-07, |df|=1.473218e-05\n",
      "k =   546, f(x) = 1.744427e-07, |df|=1.192713e-05\n",
      "k =   547, f(x) = 1.742692e-07, |df|=1.636997e-05\n",
      "k =   548, f(x) = 1.741276e-07, |df|=1.258951e-05\n",
      "k =   549, f(x) = 1.739732e-07, |df|=1.851135e-05\n",
      "k =   550, f(x) = 1.738156e-07, |df|=1.350461e-05\n",
      "k =   551, f(x) = 1.736759e-07, |df|=1.564767e-05\n",
      "k =   552, f(x) = 1.735396e-07, |df|=1.228028e-05\n",
      "k =   553, f(x) = 1.733777e-07, |df|=1.757781e-05\n",
      "k =   554, f(x) = 1.732277e-07, |df|=1.308771e-05\n",
      "k =   555, f(x) = 1.730896e-07, |df|=2.007459e-05\n",
      "k =   556, f(x) = 1.729194e-07, |df|=1.419082e-05\n",
      "k =   557, f(x) = 1.727928e-07, |df|=1.168362e-05\n",
      "k =   558, f(x) = 1.726161e-07, |df|=1.566977e-05\n",
      "k =   559, f(x) = 1.724802e-07, |df|=1.227073e-05\n",
      "k =   560, f(x) = 1.723201e-07, |df|=1.761560e-05\n",
      "k =   561, f(x) = 1.721703e-07, |df|=1.308666e-05\n",
      "k =   562, f(x) = 1.720343e-07, |df|=2.013087e-05\n",
      "k =   563, f(x) = 1.718641e-07, |df|=1.420049e-05\n",
      "k =   564, f(x) = 1.717381e-07, |df|=1.166802e-05\n",
      "k =   565, f(x) = 1.715631e-07, |df|=1.569257e-05\n",
      "k =   566, f(x) = 1.714275e-07, |df|=1.226173e-05\n",
      "k =   567, f(x) = 1.712692e-07, |df|=1.765412e-05\n",
      "k =   568, f(x) = 1.711197e-07, |df|=1.308620e-05\n",
      "k =   569, f(x) = 1.709857e-07, |df|=2.018793e-05\n",
      "k =   570, f(x) = 1.708156e-07, |df|=1.421079e-05\n",
      "k =   571, f(x) = 1.706899e-07, |df|=1.165290e-05\n",
      "k =   572, f(x) = 1.705166e-07, |df|=1.571603e-05\n",
      "k =   573, f(x) = 1.703814e-07, |df|=1.225324e-05\n",
      "k =   574, f(x) = 1.702249e-07, |df|=1.769336e-05\n",
      "k =   575, f(x) = 1.700756e-07, |df|=1.308630e-05\n",
      "k =   576, f(x) = 1.699437e-07, |df|=2.024574e-05\n",
      "k =   577, f(x) = 1.697735e-07, |df|=1.422167e-05\n",
      "k =   578, f(x) = 1.696484e-07, |df|=1.163822e-05\n",
      "k =   579, f(x) = 1.694767e-07, |df|=1.574014e-05\n",
      "k =   580, f(x) = 1.693418e-07, |df|=1.224523e-05\n",
      "k =   581, f(x) = 1.691872e-07, |df|=1.773328e-05\n",
      "k =   582, f(x) = 1.690380e-07, |df|=1.308691e-05\n",
      "k =   583, f(x) = 1.689082e-07, |df|=2.030428e-05\n",
      "k =   584, f(x) = 1.687380e-07, |df|=1.423313e-05\n",
      "k =   585, f(x) = 1.686133e-07, |df|=1.162394e-05\n",
      "k =   586, f(x) = 1.684432e-07, |df|=1.576486e-05\n",
      "k =   587, f(x) = 1.683087e-07, |df|=1.223766e-05\n",
      "k =   588, f(x) = 1.681559e-07, |df|=1.777387e-05\n",
      "k =   589, f(x) = 1.680069e-07, |df|=1.308802e-05\n",
      "k =   590, f(x) = 1.678791e-07, |df|=2.036354e-05\n",
      "k =   591, f(x) = 1.677089e-07, |df|=1.424513e-05\n",
      "k =   592, f(x) = 1.675846e-07, |df|=1.161004e-05\n",
      "k =   593, f(x) = 1.674162e-07, |df|=1.579018e-05\n",
      "k =   594, f(x) = 1.672820e-07, |df|=1.223052e-05\n",
      "k =   595, f(x) = 1.671310e-07, |df|=1.781510e-05\n",
      "k =   596, f(x) = 1.669822e-07, |df|=1.308960e-05\n",
      "k =   597, f(x) = 1.668564e-07, |df|=2.042351e-05\n",
      "k =   598, f(x) = 1.666862e-07, |df|=1.425766e-05\n",
      "k =   599, f(x) = 1.665623e-07, |df|=1.159651e-05\n",
      "k =   600, f(x) = 1.663955e-07, |df|=1.581608e-05\n",
      "k =   601, f(x) = 1.662616e-07, |df|=1.222379e-05\n",
      "k =   602, f(x) = 1.661124e-07, |df|=1.785698e-05\n",
      "k =   603, f(x) = 1.659638e-07, |df|=1.309165e-05\n",
      "k =   604, f(x) = 1.658400e-07, |df|=2.048417e-05\n",
      "k =   605, f(x) = 1.656698e-07, |df|=1.427071e-05\n",
      "k =   606, f(x) = 1.655463e-07, |df|=1.158332e-05\n",
      "k =   607, f(x) = 1.653811e-07, |df|=1.584256e-05\n",
      "k =   608, f(x) = 1.652475e-07, |df|=1.221746e-05\n",
      "k =   609, f(x) = 1.651001e-07, |df|=1.789949e-05\n",
      "k =   610, f(x) = 1.649516e-07, |df|=1.309414e-05\n",
      "k =   611, f(x) = 1.648299e-07, |df|=2.054553e-05\n",
      "k =   612, f(x) = 1.646596e-07, |df|=1.428427e-05\n",
      "k =   613, f(x) = 1.645365e-07, |df|=1.157047e-05\n",
      "k =   614, f(x) = 1.643730e-07, |df|=1.586960e-05\n",
      "k =   615, f(x) = 1.642397e-07, |df|=1.221151e-05\n",
      "k =   616, f(x) = 1.640940e-07, |df|=1.794262e-05\n",
      "k =   617, f(x) = 1.639457e-07, |df|=1.309708e-05\n",
      "k =   618, f(x) = 1.638140e-07, |df|=1.517095e-05\n",
      "k =   619, f(x) = 1.636857e-07, |df|=1.191292e-05\n",
      "k =   620, f(x) = 1.635329e-07, |df|=1.703928e-05\n",
      "k =   621, f(x) = 1.633918e-07, |df|=1.269421e-05\n",
      "k =   622, f(x) = 1.632613e-07, |df|=1.945644e-05\n",
      "k =   623, f(x) = 1.631012e-07, |df|=1.376167e-05\n",
      "k =   624, f(x) = 1.629821e-07, |df|=1.133645e-05\n",
      "k =   625, f(x) = 1.628154e-07, |df|=1.519297e-05\n",
      "k =   626, f(x) = 1.626874e-07, |df|=1.190447e-05\n",
      "k =   627, f(x) = 1.625363e-07, |df|=1.707638e-05\n",
      "k =   628, f(x) = 1.623954e-07, |df|=1.269388e-05\n",
      "k =   629, f(x) = 1.622668e-07, |df|=1.951135e-05\n",
      "k =   630, f(x) = 1.621067e-07, |df|=1.377160e-05\n",
      "k =   631, f(x) = 1.619880e-07, |df|=1.132205e-05\n",
      "k =   632, f(x) = 1.618229e-07, |df|=1.521552e-05\n",
      "k =   633, f(x) = 1.616953e-07, |df|=1.189637e-05\n",
      "k =   634, f(x) = 1.615458e-07, |df|=1.711407e-05\n",
      "k =   635, f(x) = 1.614051e-07, |df|=1.269395e-05\n",
      "k =   636, f(x) = 1.612785e-07, |df|=1.956690e-05\n",
      "k =   637, f(x) = 1.611183e-07, |df|=1.378200e-05\n",
      "k =   638, f(x) = 1.610000e-07, |df|=1.130795e-05\n",
      "k =   639, f(x) = 1.608365e-07, |df|=1.523859e-05\n",
      "k =   640, f(x) = 1.607091e-07, |df|=1.188861e-05\n",
      "k =   641, f(x) = 1.605614e-07, |df|=1.715234e-05\n",
      "k =   642, f(x) = 1.604208e-07, |df|=1.269443e-05\n",
      "k =   643, f(x) = 1.602961e-07, |df|=1.962310e-05\n",
      "k =   644, f(x) = 1.601360e-07, |df|=1.379286e-05\n",
      "k =   645, f(x) = 1.600181e-07, |df|=1.129413e-05\n",
      "k =   646, f(x) = 1.598561e-07, |df|=1.526218e-05\n",
      "k =   647, f(x) = 1.597291e-07, |df|=1.188119e-05\n",
      "k =   648, f(x) = 1.595830e-07, |df|=1.719120e-05\n",
      "k =   649, f(x) = 1.594426e-07, |df|=1.269530e-05\n",
      "k =   650, f(x) = 1.593198e-07, |df|=1.967994e-05\n",
      "k =   651, f(x) = 1.591597e-07, |df|=1.380417e-05\n",
      "k =   652, f(x) = 1.590422e-07, |df|=1.128061e-05\n",
      "k =   653, f(x) = 1.588817e-07, |df|=1.528629e-05\n",
      "k =   654, f(x) = 1.587550e-07, |df|=1.187411e-05\n",
      "k =   655, f(x) = 1.586106e-07, |df|=1.723063e-05\n",
      "k =   656, f(x) = 1.584704e-07, |df|=1.269657e-05\n",
      "k =   657, f(x) = 1.583495e-07, |df|=1.973743e-05\n",
      "k =   658, f(x) = 1.581893e-07, |df|=1.381595e-05\n",
      "k =   659, f(x) = 1.580722e-07, |df|=1.126736e-05\n",
      "k =   660, f(x) = 1.579133e-07, |df|=1.531093e-05\n",
      "k =   661, f(x) = 1.577869e-07, |df|=1.186737e-05\n",
      "k =   662, f(x) = 1.576442e-07, |df|=1.727065e-05\n",
      "k =   663, f(x) = 1.575041e-07, |df|=1.269824e-05\n",
      "k =   664, f(x) = 1.573851e-07, |df|=1.979556e-05\n",
      "k =   665, f(x) = 1.572249e-07, |df|=1.382818e-05\n",
      "k =   666, f(x) = 1.571082e-07, |df|=1.125440e-05\n",
      "k =   667, f(x) = 1.569507e-07, |df|=1.533608e-05\n",
      "k =   668, f(x) = 1.568246e-07, |df|=1.186096e-05\n",
      "k =   669, f(x) = 1.566836e-07, |df|=1.731124e-05\n",
      "k =   670, f(x) = 1.565437e-07, |df|=1.270030e-05\n",
      "k =   671, f(x) = 1.564266e-07, |df|=1.985434e-05\n",
      "k =   672, f(x) = 1.562664e-07, |df|=1.384086e-05\n",
      "k =   673, f(x) = 1.561501e-07, |df|=1.124173e-05\n",
      "k =   674, f(x) = 1.559941e-07, |df|=1.536174e-05\n",
      "k =   675, f(x) = 1.558683e-07, |df|=1.185490e-05\n",
      "k =   676, f(x) = 1.557290e-07, |df|=1.735242e-05\n",
      "k =   677, f(x) = 1.555892e-07, |df|=1.270276e-05\n",
      "k =   678, f(x) = 1.554740e-07, |df|=1.991376e-05\n",
      "k =   679, f(x) = 1.553137e-07, |df|=1.385401e-05\n",
      "k =   680, f(x) = 1.551978e-07, |df|=1.122933e-05\n",
      "k =   681, f(x) = 1.550434e-07, |df|=1.538793e-05\n",
      "k =   682, f(x) = 1.549178e-07, |df|=1.184916e-05\n",
      "k =   683, f(x) = 1.547802e-07, |df|=1.739417e-05\n",
      "k =   684, f(x) = 1.546405e-07, |df|=1.270561e-05\n",
      "k =   685, f(x) = 1.545273e-07, |df|=1.997382e-05\n",
      "k =   686, f(x) = 1.543669e-07, |df|=1.386761e-05\n",
      "k =   687, f(x) = 1.542513e-07, |df|=1.121723e-05\n",
      "k =   688, f(x) = 1.540984e-07, |df|=1.541463e-05\n",
      "k =   689, f(x) = 1.539731e-07, |df|=1.184377e-05\n",
      "k =   690, f(x) = 1.538371e-07, |df|=1.743650e-05\n",
      "k =   691, f(x) = 1.536977e-07, |df|=1.270886e-05\n",
      "k =   692, f(x) = 1.535744e-07, |df|=1.473318e-05\n",
      "k =   693, f(x) = 1.534539e-07, |df|=1.155224e-05\n",
      "k =   694, f(x) = 1.533111e-07, |df|=1.655576e-05\n",
      "k =   695, f(x) = 1.531784e-07, |df|=1.231560e-05\n",
      "k =   696, f(x) = 1.530568e-07, |df|=1.891260e-05\n",
      "k =   697, f(x) = 1.529061e-07, |df|=1.335801e-05\n",
      "k =   698, f(x) = 1.527942e-07, |df|=1.098911e-05\n",
      "k =   699, f(x) = 1.526384e-07, |df|=1.475496e-05\n",
      "k =   700, f(x) = 1.525181e-07, |df|=1.154436e-05\n",
      "k =   701, f(x) = 1.523770e-07, |df|=1.659220e-05\n",
      "k =   702, f(x) = 1.522444e-07, |df|=1.231563e-05\n",
      "k =   703, f(x) = 1.521246e-07, |df|=1.896634e-05\n",
      "k =   704, f(x) = 1.519739e-07, |df|=1.336802e-05\n",
      "k =   705, f(x) = 1.518624e-07, |df|=1.097542e-05\n",
      "k =   706, f(x) = 1.517080e-07, |df|=1.477724e-05\n",
      "k =   707, f(x) = 1.515880e-07, |df|=1.153679e-05\n",
      "k =   708, f(x) = 1.514485e-07, |df|=1.662920e-05\n",
      "k =   709, f(x) = 1.513161e-07, |df|=1.231603e-05\n",
      "k =   710, f(x) = 1.511981e-07, |df|=1.902070e-05\n",
      "k =   711, f(x) = 1.510474e-07, |df|=1.337847e-05\n",
      "k =   712, f(x) = 1.509363e-07, |df|=1.096199e-05\n",
      "k =   713, f(x) = 1.507833e-07, |df|=1.480001e-05\n",
      "k =   714, f(x) = 1.506637e-07, |df|=1.152955e-05\n",
      "k =   715, f(x) = 1.505257e-07, |df|=1.666675e-05\n",
      "k =   716, f(x) = 1.503934e-07, |df|=1.231680e-05\n",
      "k =   717, f(x) = 1.502773e-07, |df|=1.907568e-05\n",
      "k =   718, f(x) = 1.501265e-07, |df|=1.338934e-05\n",
      "k =   719, f(x) = 1.500158e-07, |df|=1.094882e-05\n",
      "k =   720, f(x) = 1.498643e-07, |df|=1.482327e-05\n",
      "k =   721, f(x) = 1.497449e-07, |df|=1.152262e-05\n",
      "k =   722, f(x) = 1.496085e-07, |df|=1.670486e-05\n",
      "k =   723, f(x) = 1.494764e-07, |df|=1.231794e-05\n",
      "k =   724, f(x) = 1.493621e-07, |df|=1.913127e-05\n",
      "k =   725, f(x) = 1.492113e-07, |df|=1.340066e-05\n",
      "k =   726, f(x) = 1.491010e-07, |df|=1.093592e-05\n",
      "k =   727, f(x) = 1.489508e-07, |df|=1.484704e-05\n",
      "k =   728, f(x) = 1.488318e-07, |df|=1.151600e-05\n",
      "k =   729, f(x) = 1.486969e-07, |df|=1.674352e-05\n",
      "k =   730, f(x) = 1.485650e-07, |df|=1.231947e-05\n",
      "k =   731, f(x) = 1.484525e-07, |df|=1.918749e-05\n",
      "k =   732, f(x) = 1.483017e-07, |df|=1.341240e-05\n",
      "k =   733, f(x) = 1.481917e-07, |df|=1.092329e-05\n",
      "k =   734, f(x) = 1.480430e-07, |df|=1.487130e-05\n",
      "k =   735, f(x) = 1.479242e-07, |df|=1.150971e-05\n",
      "k =   736, f(x) = 1.477910e-07, |df|=1.678274e-05\n",
      "k =   737, f(x) = 1.476592e-07, |df|=1.232137e-05\n",
      "k =   738, f(x) = 1.475484e-07, |df|=1.924432e-05\n",
      "k =   739, f(x) = 1.473976e-07, |df|=1.342459e-05\n",
      "k =   740, f(x) = 1.472880e-07, |df|=1.091093e-05\n",
      "k =   741, f(x) = 1.471407e-07, |df|=1.489605e-05\n",
      "k =   742, f(x) = 1.470222e-07, |df|=1.150374e-05\n",
      "k =   743, f(x) = 1.468905e-07, |df|=1.682252e-05\n",
      "k =   744, f(x) = 1.467589e-07, |df|=1.232364e-05\n",
      "k =   745, f(x) = 1.466499e-07, |df|=1.930178e-05\n",
      "k =   746, f(x) = 1.464990e-07, |df|=1.343721e-05\n",
      "k =   747, f(x) = 1.463898e-07, |df|=1.089884e-05\n",
      "k =   748, f(x) = 1.462439e-07, |df|=1.492131e-05\n",
      "k =   749, f(x) = 1.461257e-07, |df|=1.149809e-05\n",
      "k =   750, f(x) = 1.459956e-07, |df|=1.686286e-05\n",
      "k =   751, f(x) = 1.458641e-07, |df|=1.232630e-05\n",
      "k =   752, f(x) = 1.457569e-07, |df|=1.935986e-05\n",
      "k =   753, f(x) = 1.456059e-07, |df|=1.345028e-05\n",
      "k =   754, f(x) = 1.454970e-07, |df|=1.088701e-05\n",
      "k =   755, f(x) = 1.453526e-07, |df|=1.494706e-05\n",
      "k =   756, f(x) = 1.452346e-07, |df|=1.149276e-05\n",
      "k =   757, f(x) = 1.451061e-07, |df|=1.690375e-05\n",
      "k =   758, f(x) = 1.449747e-07, |df|=1.232934e-05\n",
      "k =   759, f(x) = 1.448584e-07, |df|=1.428763e-05\n",
      "k =   760, f(x) = 1.447449e-07, |df|=1.121081e-05\n",
      "k =   761, f(x) = 1.446100e-07, |df|=1.605130e-05\n",
      "k =   762, f(x) = 1.444850e-07, |df|=1.194895e-05\n",
      "k =   763, f(x) = 1.443700e-07, |df|=1.833246e-05\n",
      "k =   764, f(x) = 1.442281e-07, |df|=1.295716e-05\n",
      "k =   765, f(x) = 1.441227e-07, |df|=1.066630e-05\n",
      "k =   766, f(x) = 1.439755e-07, |df|=1.430862e-05\n",
      "k =   767, f(x) = 1.438622e-07, |df|=1.120308e-05\n",
      "k =   768, f(x) = 1.437288e-07, |df|=1.608648e-05\n",
      "k =   769, f(x) = 1.436040e-07, |df|=1.194886e-05\n",
      "k =   770, f(x) = 1.434907e-07, |df|=1.838441e-05\n",
      "k =   771, f(x) = 1.433488e-07, |df|=1.296674e-05\n",
      "k =   772, f(x) = 1.432438e-07, |df|=1.065294e-05\n",
      "k =   773, f(x) = 1.430979e-07, |df|=1.433008e-05\n",
      "k =   774, f(x) = 1.429849e-07, |df|=1.119565e-05\n",
      "k =   775, f(x) = 1.428531e-07, |df|=1.612220e-05\n",
      "k =   776, f(x) = 1.427284e-07, |df|=1.194914e-05\n",
      "k =   777, f(x) = 1.426168e-07, |df|=1.843696e-05\n",
      "k =   778, f(x) = 1.424749e-07, |df|=1.297674e-05\n",
      "k =   779, f(x) = 1.423702e-07, |df|=1.063983e-05\n",
      "k =   780, f(x) = 1.422257e-07, |df|=1.435202e-05\n",
      "k =   781, f(x) = 1.421130e-07, |df|=1.118852e-05\n",
      "k =   782, f(x) = 1.419827e-07, |df|=1.615846e-05\n",
      "k =   783, f(x) = 1.418581e-07, |df|=1.194977e-05\n",
      "k =   784, f(x) = 1.417482e-07, |df|=1.849011e-05\n",
      "k =   785, f(x) = 1.416063e-07, |df|=1.298716e-05\n",
      "k =   786, f(x) = 1.415020e-07, |df|=1.062698e-05\n",
      "k =   787, f(x) = 1.413589e-07, |df|=1.437444e-05\n",
      "k =   788, f(x) = 1.412464e-07, |df|=1.118170e-05\n",
      "k =   789, f(x) = 1.411176e-07, |df|=1.619526e-05\n",
      "k =   790, f(x) = 1.409932e-07, |df|=1.195077e-05\n",
      "k =   791, f(x) = 1.408850e-07, |df|=1.854385e-05\n",
      "k =   792, f(x) = 1.407431e-07, |df|=1.299800e-05\n",
      "k =   793, f(x) = 1.406391e-07, |df|=1.061439e-05\n",
      "k =   794, f(x) = 1.404973e-07, |df|=1.439734e-05\n",
      "k =   795, f(x) = 1.403851e-07, |df|=1.117519e-05\n",
      "k =   796, f(x) = 1.402577e-07, |df|=1.623260e-05\n",
      "k =   797, f(x) = 1.401335e-07, |df|=1.195213e-05\n",
      "k =   798, f(x) = 1.400270e-07, |df|=1.859820e-05\n",
      "k =   799, f(x) = 1.398851e-07, |df|=1.300926e-05\n",
      "k =   800, f(x) = 1.397814e-07, |df|=1.060205e-05\n",
      "k =   801, f(x) = 1.396410e-07, |df|=1.442072e-05\n",
      "k =   802, f(x) = 1.395291e-07, |df|=1.116898e-05\n",
      "k =   803, f(x) = 1.394032e-07, |df|=1.627048e-05\n",
      "k =   804, f(x) = 1.392791e-07, |df|=1.195385e-05\n",
      "k =   805, f(x) = 1.391743e-07, |df|=1.865315e-05\n",
      "k =   806, f(x) = 1.390323e-07, |df|=1.302095e-05\n",
      "k =   807, f(x) = 1.389290e-07, |df|=1.058997e-05\n",
      "k =   808, f(x) = 1.387899e-07, |df|=1.444458e-05\n",
      "k =   809, f(x) = 1.386783e-07, |df|=1.116309e-05\n",
      "k =   810, f(x) = 1.385538e-07, |df|=1.630889e-05\n",
      "k =   811, f(x) = 1.384299e-07, |df|=1.195594e-05\n",
      "k =   812, f(x) = 1.383268e-07, |df|=1.870870e-05\n",
      "k =   813, f(x) = 1.381847e-07, |df|=1.303306e-05\n",
      "k =   814, f(x) = 1.380818e-07, |df|=1.057815e-05\n",
      "k =   815, f(x) = 1.379441e-07, |df|=1.446893e-05\n",
      "k =   816, f(x) = 1.378327e-07, |df|=1.115751e-05\n",
      "k =   817, f(x) = 1.377097e-07, |df|=1.634785e-05\n",
      "k =   818, f(x) = 1.375859e-07, |df|=1.195840e-05\n",
      "k =   819, f(x) = 1.374844e-07, |df|=1.876485e-05\n",
      "k =   820, f(x) = 1.373424e-07, |df|=1.304559e-05\n",
      "k =   821, f(x) = 1.372397e-07, |df|=1.056660e-05\n",
      "k =   822, f(x) = 1.371033e-07, |df|=1.449376e-05\n",
      "k =   823, f(x) = 1.369922e-07, |df|=1.115224e-05\n",
      "k =   824, f(x) = 1.368707e-07, |df|=1.638736e-05\n",
      "k =   825, f(x) = 1.367470e-07, |df|=1.196123e-05\n",
      "k =   826, f(x) = 1.366373e-07, |df|=1.385564e-05\n",
      "k =   827, f(x) = 1.365302e-07, |df|=1.087955e-05\n",
      "k =   828, f(x) = 1.364028e-07, |df|=1.556228e-05\n",
      "k =   829, f(x) = 1.362851e-07, |df|=1.159328e-05\n",
      "k =   830, f(x) = 1.361763e-07, |df|=1.777019e-05\n",
      "k =   831, f(x) = 1.360428e-07, |df|=1.256840e-05\n",
      "k =   832, f(x) = 1.359434e-07, |df|=1.035304e-05\n",
      "k =   833, f(x) = 1.358044e-07, |df|=1.387585e-05\n",
      "k =   834, f(x) = 1.356977e-07, |df|=1.087195e-05\n",
      "k =   835, f(x) = 1.355717e-07, |df|=1.559624e-05\n",
      "k =   836, f(x) = 1.354541e-07, |df|=1.159308e-05\n",
      "k =   837, f(x) = 1.353470e-07, |df|=1.782040e-05\n",
      "k =   838, f(x) = 1.352134e-07, |df|=1.257756e-05\n",
      "k =   839, f(x) = 1.351144e-07, |df|=1.033999e-05\n",
      "k =   840, f(x) = 1.349767e-07, |df|=1.389652e-05\n",
      "k =   841, f(x) = 1.348702e-07, |df|=1.086464e-05\n",
      "k =   842, f(x) = 1.347456e-07, |df|=1.563073e-05\n",
      "k =   843, f(x) = 1.346282e-07, |df|=1.159324e-05\n",
      "k =   844, f(x) = 1.345226e-07, |df|=1.787120e-05\n",
      "k =   845, f(x) = 1.343891e-07, |df|=1.258713e-05\n",
      "k =   846, f(x) = 1.342904e-07, |df|=1.032719e-05\n",
      "k =   847, f(x) = 1.341540e-07, |df|=1.391765e-05\n",
      "k =   848, f(x) = 1.340478e-07, |df|=1.085763e-05\n",
      "k =   849, f(x) = 1.339246e-07, |df|=1.566574e-05\n",
      "k =   850, f(x) = 1.338074e-07, |df|=1.159374e-05\n",
      "k =   851, f(x) = 1.337034e-07, |df|=1.792257e-05\n",
      "k =   852, f(x) = 1.335698e-07, |df|=1.259711e-05\n",
      "k =   853, f(x) = 1.334715e-07, |df|=1.031464e-05\n",
      "k =   854, f(x) = 1.333364e-07, |df|=1.393925e-05\n",
      "k =   855, f(x) = 1.332304e-07, |df|=1.085092e-05\n",
      "k =   856, f(x) = 1.331086e-07, |df|=1.570127e-05\n",
      "k =   857, f(x) = 1.329915e-07, |df|=1.159459e-05\n",
      "k =   858, f(x) = 1.328891e-07, |df|=1.797453e-05\n",
      "k =   859, f(x) = 1.327556e-07, |df|=1.260749e-05\n",
      "k =   860, f(x) = 1.326575e-07, |df|=1.030234e-05\n",
      "k =   861, f(x) = 1.325237e-07, |df|=1.396132e-05\n",
      "k =   862, f(x) = 1.324180e-07, |df|=1.084450e-05\n",
      "k =   863, f(x) = 1.322976e-07, |df|=1.573733e-05\n",
      "k =   864, f(x) = 1.321807e-07, |df|=1.159579e-05\n",
      "k =   865, f(x) = 1.320798e-07, |df|=1.802706e-05\n",
      "k =   866, f(x) = 1.319463e-07, |df|=1.261829e-05\n",
      "k =   867, f(x) = 1.318486e-07, |df|=1.029029e-05\n",
      "k =   868, f(x) = 1.317160e-07, |df|=1.398385e-05\n",
      "k =   869, f(x) = 1.316106e-07, |df|=1.083838e-05\n",
      "k =   870, f(x) = 1.314916e-07, |df|=1.577390e-05\n",
      "k =   871, f(x) = 1.313747e-07, |df|=1.159735e-05\n",
      "k =   872, f(x) = 1.312755e-07, |df|=1.808018e-05\n",
      "k =   873, f(x) = 1.311419e-07, |df|=1.262949e-05\n",
      "k =   874, f(x) = 1.310445e-07, |df|=1.027849e-05\n",
      "k =   875, f(x) = 1.309132e-07, |df|=1.400685e-05\n",
      "k =   876, f(x) = 1.308080e-07, |df|=1.083257e-05\n",
      "k =   877, f(x) = 1.306905e-07, |df|=1.581101e-05\n",
      "k =   878, f(x) = 1.305737e-07, |df|=1.159926e-05\n",
      "k =   879, f(x) = 1.304761e-07, |df|=1.813389e-05\n",
      "k =   880, f(x) = 1.303425e-07, |df|=1.264110e-05\n",
      "k =   881, f(x) = 1.302454e-07, |df|=1.026694e-05\n",
      "k =   882, f(x) = 1.301154e-07, |df|=1.403032e-05\n",
      "k =   883, f(x) = 1.300104e-07, |df|=1.082705e-05\n",
      "k =   884, f(x) = 1.298942e-07, |df|=1.584863e-05\n",
      "k =   885, f(x) = 1.297776e-07, |df|=1.160153e-05\n",
      "k =   886, f(x) = 1.296816e-07, |df|=1.818817e-05\n",
      "k =   887, f(x) = 1.295479e-07, |df|=1.265313e-05\n",
      "k =   888, f(x) = 1.294512e-07, |df|=1.025565e-05\n",
      "k =   889, f(x) = 1.293224e-07, |df|=1.405425e-05\n",
      "k =   890, f(x) = 1.292177e-07, |df|=1.082184e-05\n",
      "k =   891, f(x) = 1.291029e-07, |df|=1.588679e-05\n",
      "k =   892, f(x) = 1.289864e-07, |df|=1.160416e-05\n",
      "k =   893, f(x) = 1.288919e-07, |df|=1.824305e-05\n",
      "k =   894, f(x) = 1.287582e-07, |df|=1.266557e-05\n",
      "k =   895, f(x) = 1.286618e-07, |df|=1.024461e-05\n",
      "k =   896, f(x) = 1.285342e-07, |df|=1.407866e-05\n",
      "k =   897, f(x) = 1.284298e-07, |df|=1.081693e-05\n",
      "k =   898, f(x) = 1.283163e-07, |df|=1.592546e-05\n",
      "k =   899, f(x) = 1.282000e-07, |df|=1.160714e-05\n",
      "k =   900, f(x) = 1.280972e-07, |df|=1.345622e-05\n",
      "k =   901, f(x) = 1.279967e-07, |df|=1.055064e-05\n",
      "k =   902, f(x) = 1.278776e-07, |df|=1.512099e-05\n",
      "k =   903, f(x) = 1.277669e-07, |df|=1.124794e-05\n",
      "k =   904, f(x) = 1.276655e-07, |df|=1.727374e-05\n",
      "k =   905, f(x) = 1.275398e-07, |df|=1.220012e-05\n",
      "k =   906, f(x) = 1.274465e-07, |df|=1.003627e-05\n",
      "k =   907, f(x) = 1.273165e-07, |df|=1.347612e-05\n",
      "k =   908, f(x) = 1.272162e-07, |df|=1.054346e-05\n",
      "k =   909, f(x) = 1.270984e-07, |df|=1.515429e-05\n",
      "k =   910, f(x) = 1.269879e-07, |df|=1.124797e-05\n",
      "k =   911, f(x) = 1.268880e-07, |df|=1.732284e-05\n",
      "k =   912, f(x) = 1.267623e-07, |df|=1.220927e-05\n",
      "k =   913, f(x) = 1.266693e-07, |df|=1.002377e-05\n",
      "k =   914, f(x) = 1.265405e-07, |df|=1.349648e-05\n",
      "k =   915, f(x) = 1.264404e-07, |df|=1.053656e-05\n",
      "k =   916, f(x) = 1.263240e-07, |df|=1.518809e-05\n",
      "k =   917, f(x) = 1.262136e-07, |df|=1.124835e-05\n",
      "k =   918, f(x) = 1.261152e-07, |df|=1.737250e-05\n",
      "k =   919, f(x) = 1.259895e-07, |df|=1.221882e-05\n",
      "k =   920, f(x) = 1.258968e-07, |df|=1.001151e-05\n",
      "k =   921, f(x) = 1.257692e-07, |df|=1.351729e-05\n",
      "k =   922, f(x) = 1.256694e-07, |df|=1.052995e-05\n",
      "k =   923, f(x) = 1.255544e-07, |df|=1.522240e-05\n",
      "k =   924, f(x) = 1.254441e-07, |df|=1.124906e-05\n",
      "k =   925, f(x) = 1.253472e-07, |df|=1.742272e-05\n",
      "k =   926, f(x) = 1.252215e-07, |df|=1.222876e-05\n",
      "k =   927, f(x) = 1.251291e-07, |df|=9.999498e-06\n",
      "k =   928, f(x) = 1.250027e-07, |df|=1.353855e-05\n",
      "k =   929, f(x) = 1.249032e-07, |df|=1.052363e-05\n",
      "k =   930, f(x) = 1.247894e-07, |df|=1.525721e-05\n",
      "k =   931, f(x) = 1.246792e-07, |df|=1.125012e-05\n",
      "k =   932, f(x) = 1.245839e-07, |df|=1.747351e-05\n",
      "k =   933, f(x) = 1.244581e-07, |df|=1.223910e-05\n",
      "k =   934, f(x) = 1.243661e-07, |df|=9.987725e-06\n",
      "k =   935, f(x) = 1.242409e-07, |df|=1.356026e-05\n",
      "k =   936, f(x) = 1.241415e-07, |df|=1.051760e-05\n",
      "k =   937, f(x) = 1.240291e-07, |df|=1.529253e-05\n",
      "k =   938, f(x) = 1.239191e-07, |df|=1.125152e-05\n",
      "k =   939, f(x) = 1.238252e-07, |df|=1.752486e-05\n",
      "k =   940, f(x) = 1.236994e-07, |df|=1.224984e-05\n",
      "k =   941, f(x) = 1.236077e-07, |df|=9.976196e-06\n",
      "k =   942, f(x) = 1.234837e-07, |df|=1.358243e-05\n",
      "k =   943, f(x) = 1.233846e-07, |df|=1.051186e-05\n",
      "k =   944, f(x) = 1.232734e-07, |df|=1.532836e-05\n",
      "k =   945, f(x) = 1.231635e-07, |df|=1.125326e-05\n",
      "k =   946, f(x) = 1.230711e-07, |df|=1.757678e-05\n",
      "k =   947, f(x) = 1.229453e-07, |df|=1.226098e-05\n",
      "k =   948, f(x) = 1.228539e-07, |df|=9.964911e-06\n",
      "k =   949, f(x) = 1.227311e-07, |df|=1.360505e-05\n",
      "k =   950, f(x) = 1.226322e-07, |df|=1.050642e-05\n",
      "k =   951, f(x) = 1.225224e-07, |df|=1.536470e-05\n",
      "k =   952, f(x) = 1.224126e-07, |df|=1.125535e-05\n",
      "k =   953, f(x) = 1.223217e-07, |df|=1.762927e-05\n",
      "k =   954, f(x) = 1.221959e-07, |df|=1.227252e-05\n",
      "k =   955, f(x) = 1.221047e-07, |df|=9.953872e-06\n",
      "k =   956, f(x) = 1.219831e-07, |df|=1.362812e-05\n",
      "k =   957, f(x) = 1.218845e-07, |df|=1.050126e-05\n",
      "k =   958, f(x) = 1.217760e-07, |df|=1.540155e-05\n",
      "k =   959, f(x) = 1.216663e-07, |df|=1.125778e-05\n",
      "k =   960, f(x) = 1.215769e-07, |df|=1.768232e-05\n",
      "k =   961, f(x) = 1.214510e-07, |df|=1.228446e-05\n",
      "k =   962, f(x) = 1.213601e-07, |df|=9.943080e-06\n",
      "k =   963, f(x) = 1.212397e-07, |df|=1.365165e-05\n",
      "k =   964, f(x) = 1.211413e-07, |df|=1.049640e-05\n",
      "k =   965, f(x) = 1.210341e-07, |df|=1.543891e-05\n",
      "k =   966, f(x) = 1.209245e-07, |df|=1.126056e-05\n",
      "k =   967, f(x) = 1.208275e-07, |df|=1.304932e-05\n",
      "k =   968, f(x) = 1.207328e-07, |df|=1.023886e-05\n",
      "k =   969, f(x) = 1.206203e-07, |df|=1.466027e-05\n",
      "k =   970, f(x) = 1.205160e-07, |df|=1.091310e-05\n",
      "k =   971, f(x) = 1.204201e-07, |df|=1.674390e-05\n",
      "k =   972, f(x) = 1.203018e-07, |df|=1.183404e-05\n",
      "k =   973, f(x) = 1.202138e-07, |df|=9.741483e-06\n",
      "k =   974, f(x) = 1.200911e-07, |df|=1.306849e-05\n",
      "k =   975, f(x) = 1.199966e-07, |df|=1.023180e-05\n",
      "k =   976, f(x) = 1.198854e-07, |df|=1.469242e-05\n",
      "k =   977, f(x) = 1.197812e-07, |df|=1.091303e-05\n",
      "k =   978, f(x) = 1.196868e-07, |df|=1.679135e-05\n",
      "k =   979, f(x) = 1.195684e-07, |df|=1.184279e-05\n",
      "k =   980, f(x) = 1.194808e-07, |df|=9.729283e-06\n",
      "k =   981, f(x) = 1.193592e-07, |df|=1.308810e-05\n",
      "k =   982, f(x) = 1.192649e-07, |df|=1.022502e-05\n",
      "k =   983, f(x) = 1.191549e-07, |df|=1.472505e-05\n",
      "k =   984, f(x) = 1.190509e-07, |df|=1.091329e-05\n",
      "k =   985, f(x) = 1.189579e-07, |df|=1.683936e-05\n",
      "k =   986, f(x) = 1.188395e-07, |df|=1.185193e-05\n",
      "k =   987, f(x) = 1.187522e-07, |df|=9.717315e-06\n",
      "k =   988, f(x) = 1.186317e-07, |df|=1.310814e-05\n",
      "k =   989, f(x) = 1.185377e-07, |df|=1.021851e-05\n",
      "k =   990, f(x) = 1.184289e-07, |df|=1.475817e-05\n",
      "k =   991, f(x) = 1.183251e-07, |df|=1.091387e-05\n",
      "k =   992, f(x) = 1.182334e-07, |df|=1.688790e-05\n",
      "k =   993, f(x) = 1.181151e-07, |df|=1.186145e-05\n",
      "k =   994, f(x) = 1.180280e-07, |df|=9.705581e-06\n",
      "k =   995, f(x) = 1.179087e-07, |df|=1.312863e-05\n",
      "k =   996, f(x) = 1.178149e-07, |df|=1.021229e-05\n",
      "k =   997, f(x) = 1.177074e-07, |df|=1.479179e-05\n",
      "k =   998, f(x) = 1.176036e-07, |df|=1.091479e-05\n",
      "k =   999, f(x) = 1.175134e-07, |df|=1.693700e-05\n",
      "k =  1000, f(x) = 1.173950e-07, |df|=1.187136e-05\n",
      "k =  1001, f(x) = 1.173083e-07, |df|=9.694081e-06\n",
      "k =  1002, f(x) = 1.171901e-07, |df|=1.314955e-05\n",
      "k =  1003, f(x) = 1.170965e-07, |df|=1.020635e-05\n",
      "k =  1004, f(x) = 1.169902e-07, |df|=1.482590e-05\n",
      "k =  1005, f(x) = 1.168866e-07, |df|=1.091604e-05\n",
      "k =  1006, f(x) = 1.167978e-07, |df|=1.698664e-05\n",
      "k =  1007, f(x) = 1.166794e-07, |df|=1.188165e-05\n",
      "k =  1008, f(x) = 1.165929e-07, |df|=9.682817e-06\n",
      "k =  1009, f(x) = 1.164758e-07, |df|=1.317091e-05\n",
      "k =  1010, f(x) = 1.163825e-07, |df|=1.020068e-05\n",
      "k =  1011, f(x) = 1.162775e-07, |df|=1.486050e-05\n",
      "k =  1012, f(x) = 1.161740e-07, |df|=1.091762e-05\n",
      "k =  1013, f(x) = 1.160866e-07, |df|=1.703683e-05\n",
      "k =  1014, f(x) = 1.159681e-07, |df|=1.189233e-05\n",
      "k =  1015, f(x) = 1.158820e-07, |df|=9.671791e-06\n",
      "k =  1016, f(x) = 1.157660e-07, |df|=1.319271e-05\n",
      "k =  1017, f(x) = 1.156729e-07, |df|=1.019530e-05\n",
      "k =  1018, f(x) = 1.155691e-07, |df|=1.489559e-05\n",
      "k =  1019, f(x) = 1.154657e-07, |df|=1.091953e-05\n",
      "k =  1020, f(x) = 1.153797e-07, |df|=1.708758e-05\n",
      "k =  1021, f(x) = 1.152612e-07, |df|=1.190340e-05\n",
      "k =  1022, f(x) = 1.151753e-07, |df|=9.661002e-06\n",
      "k =  1023, f(x) = 1.150605e-07, |df|=1.321495e-05\n",
      "k =  1024, f(x) = 1.149676e-07, |df|=1.019021e-05\n",
      "k =  1025, f(x) = 1.148650e-07, |df|=1.493118e-05\n",
      "k =  1026, f(x) = 1.147617e-07, |df|=1.092178e-05\n",
      "k =  1027, f(x) = 1.146771e-07, |df|=1.713887e-05\n",
      "k =  1028, f(x) = 1.145586e-07, |df|=1.191485e-05\n",
      "k =  1029, f(x) = 1.144730e-07, |df|=9.650452e-06\n",
      "k =  1030, f(x) = 1.143593e-07, |df|=1.323764e-05\n",
      "k =  1031, f(x) = 1.142666e-07, |df|=1.018540e-05\n",
      "k =  1032, f(x) = 1.141652e-07, |df|=1.496727e-05\n",
      "k =  1033, f(x) = 1.140621e-07, |df|=1.092437e-05\n",
      "k =  1034, f(x) = 1.139705e-07, |df|=1.265477e-05\n",
      "k =  1035, f(x) = 1.138812e-07, |df|=9.936319e-06\n",
      "k =  1036, f(x) = 1.137750e-07, |df|=1.421363e-05\n",
      "k =  1037, f(x) = 1.136768e-07, |df|=1.058827e-05\n",
      "k =  1038, f(x) = 1.135861e-07, |df|=1.623035e-05\n",
      "k =  1039, f(x) = 1.134747e-07, |df|=1.147898e-05\n",
      "k =  1040, f(x) = 1.133918e-07, |df|=9.455382e-06\n",
      "k =  1041, f(x) = 1.132759e-07, |df|=1.267323e-05\n",
      "k =  1042, f(x) = 1.131868e-07, |df|=9.929381e-06\n",
      "k =  1043, f(x) = 1.130818e-07, |df|=1.424466e-05\n",
      "k =  1044, f(x) = 1.129837e-07, |df|=1.058810e-05\n",
      "k =  1045, f(x) = 1.128943e-07, |df|=1.627622e-05\n",
      "k =  1046, f(x) = 1.127829e-07, |df|=1.148735e-05\n",
      "k =  1047, f(x) = 1.127003e-07, |df|=9.443471e-06\n",
      "k =  1048, f(x) = 1.125855e-07, |df|=1.269212e-05\n",
      "k =  1049, f(x) = 1.124967e-07, |df|=9.922713e-06\n",
      "k =  1050, f(x) = 1.123928e-07, |df|=1.427617e-05\n",
      "k =  1051, f(x) = 1.122948e-07, |df|=1.058824e-05\n",
      "k =  1052, f(x) = 1.122068e-07, |df|=1.632262e-05\n",
      "k =  1053, f(x) = 1.120954e-07, |df|=1.149610e-05\n",
      "k =  1054, f(x) = 1.120131e-07, |df|=9.431785e-06\n",
      "k =  1055, f(x) = 1.118993e-07, |df|=1.271143e-05\n",
      "k =  1056, f(x) = 1.118107e-07, |df|=9.916313e-06\n",
      "k =  1057, f(x) = 1.117080e-07, |df|=1.430815e-05\n",
      "k =  1058, f(x) = 1.116102e-07, |df|=1.058870e-05\n",
      "k =  1059, f(x) = 1.115235e-07, |df|=1.636955e-05\n",
      "k =  1060, f(x) = 1.114121e-07, |df|=1.150521e-05\n",
      "k =  1061, f(x) = 1.113300e-07, |df|=9.420326e-06\n",
      "k =  1062, f(x) = 1.112173e-07, |df|=1.273116e-05\n",
      "k =  1063, f(x) = 1.111290e-07, |df|=9.910185e-06\n",
      "k =  1064, f(x) = 1.110274e-07, |df|=1.434061e-05\n",
      "k =  1065, f(x) = 1.109297e-07, |df|=1.058949e-05\n",
      "k =  1066, f(x) = 1.108443e-07, |df|=1.641700e-05\n",
      "k =  1067, f(x) = 1.107329e-07, |df|=1.151470e-05\n",
      "k =  1068, f(x) = 1.106512e-07, |df|=9.409094e-06\n",
      "k =  1069, f(x) = 1.105395e-07, |df|=1.275132e-05\n",
      "k =  1070, f(x) = 1.104514e-07, |df|=9.904329e-06\n",
      "k =  1071, f(x) = 1.103510e-07, |df|=1.437354e-05\n",
      "k =  1072, f(x) = 1.102534e-07, |df|=1.059059e-05\n",
      "k =  1073, f(x) = 1.101693e-07, |df|=1.646499e-05\n",
      "k =  1074, f(x) = 1.100579e-07, |df|=1.152457e-05\n",
      "k =  1075, f(x) = 1.099764e-07, |df|=9.398090e-06\n",
      "k =  1076, f(x) = 1.098658e-07, |df|=1.277190e-05\n",
      "k =  1077, f(x) = 1.097779e-07, |df|=9.898746e-06\n",
      "k =  1078, f(x) = 1.096787e-07, |df|=1.440696e-05\n",
      "k =  1079, f(x) = 1.095812e-07, |df|=1.059202e-05\n",
      "k =  1080, f(x) = 1.094985e-07, |df|=1.651352e-05\n",
      "k =  1081, f(x) = 1.093870e-07, |df|=1.153480e-05\n",
      "k =  1082, f(x) = 1.093058e-07, |df|=9.387316e-06\n",
      "k =  1083, f(x) = 1.091963e-07, |df|=1.279291e-05\n",
      "k =  1084, f(x) = 1.091086e-07, |df|=9.893437e-06\n",
      "k =  1085, f(x) = 1.090105e-07, |df|=1.444085e-05\n",
      "k =  1086, f(x) = 1.089131e-07, |df|=1.059377e-05\n",
      "k =  1087, f(x) = 1.088317e-07, |df|=1.656257e-05\n",
      "k =  1088, f(x) = 1.087202e-07, |df|=1.154542e-05\n",
      "k =  1089, f(x) = 1.086393e-07, |df|=9.376772e-06\n",
      "k =  1090, f(x) = 1.085308e-07, |df|=1.281435e-05\n",
      "k =  1091, f(x) = 1.084433e-07, |df|=9.888403e-06\n",
      "k =  1092, f(x) = 1.083464e-07, |df|=1.447522e-05\n",
      "k =  1093, f(x) = 1.082491e-07, |df|=1.059584e-05\n",
      "k =  1094, f(x) = 1.081690e-07, |df|=1.661216e-05\n",
      "k =  1095, f(x) = 1.080575e-07, |df|=1.155641e-05\n",
      "k =  1096, f(x) = 1.079768e-07, |df|=9.366460e-06\n",
      "k =  1097, f(x) = 1.078694e-07, |df|=1.283622e-05\n",
      "k =  1098, f(x) = 1.077821e-07, |df|=9.883647e-06\n",
      "k =  1099, f(x) = 1.076863e-07, |df|=1.451007e-05\n",
      "k =  1100, f(x) = 1.075892e-07, |df|=1.059825e-05\n",
      "k =  1101, f(x) = 1.075104e-07, |df|=1.666228e-05\n",
      "k =  1102, f(x) = 1.073988e-07, |df|=1.156777e-05\n",
      "k =  1103, f(x) = 1.073184e-07, |df|=9.356381e-06\n",
      "k =  1104, f(x) = 1.072120e-07, |df|=1.285852e-05\n",
      "k =  1105, f(x) = 1.071249e-07, |df|=9.879168e-06\n",
      "k =  1106, f(x) = 1.070303e-07, |df|=1.454540e-05\n",
      "k =  1107, f(x) = 1.069333e-07, |df|=1.060098e-05\n",
      "k =  1108, f(x) = 1.068475e-07, |df|=1.228997e-05\n",
      "k =  1109, f(x) = 1.067637e-07, |df|=9.635930e-06\n",
      "k =  1110, f(x) = 1.066644e-07, |df|=1.381060e-05\n",
      "k =  1111, f(x) = 1.065720e-07, |df|=1.027287e-05\n",
      "k =  1112, f(x) = 1.064875e-07, |df|=1.577693e-05\n",
      "k =  1113, f(x) = 1.063826e-07, |df|=1.114262e-05\n",
      "k =  1114, f(x) = 1.063048e-07, |df|=9.166078e-06\n",
      "k =  1115, f(x) = 1.061963e-07, |df|=1.230816e-05\n",
      "k =  1116, f(x) = 1.061127e-07, |df|=9.629374e-06\n",
      "k =  1117, f(x) = 1.060145e-07, |df|=1.384101e-05\n",
      "k =  1118, f(x) = 1.059223e-07, |df|=1.027291e-05\n",
      "k =  1119, f(x) = 1.058390e-07, |df|=1.582178e-05\n",
      "k =  1120, f(x) = 1.057341e-07, |df|=1.115099e-05\n",
      "k =  1121, f(x) = 1.056565e-07, |df|=9.154668e-06\n",
      "k =  1122, f(x) = 1.055491e-07, |df|=1.232675e-05\n",
      "k =  1123, f(x) = 1.054657e-07, |df|=9.623079e-06\n",
      "k =  1124, f(x) = 1.053686e-07, |df|=1.387189e-05\n",
      "k =  1125, f(x) = 1.052765e-07, |df|=1.027325e-05\n",
      "k =  1126, f(x) = 1.051944e-07, |df|=1.586714e-05\n",
      "k =  1127, f(x) = 1.050896e-07, |df|=1.115971e-05\n",
      "k =  1128, f(x) = 1.050123e-07, |df|=9.143477e-06\n",
      "k =  1129, f(x) = 1.049059e-07, |df|=1.234576e-05\n",
      "k =  1130, f(x) = 1.048226e-07, |df|=9.617047e-06\n",
      "k =  1131, f(x) = 1.047266e-07, |df|=1.390323e-05\n",
      "k =  1132, f(x) = 1.046346e-07, |df|=1.027391e-05\n",
      "k =  1133, f(x) = 1.045538e-07, |df|=1.591301e-05\n",
      "k =  1134, f(x) = 1.044490e-07, |df|=1.116880e-05\n",
      "k =  1135, f(x) = 1.043719e-07, |df|=9.132507e-06\n",
      "k =  1136, f(x) = 1.042665e-07, |df|=1.236519e-05\n",
      "k =  1137, f(x) = 1.041835e-07, |df|=9.611278e-06\n",
      "k =  1138, f(x) = 1.040886e-07, |df|=1.393503e-05\n",
      "k =  1139, f(x) = 1.039967e-07, |df|=1.027488e-05\n",
      "k =  1140, f(x) = 1.039172e-07, |df|=1.595941e-05\n",
      "k =  1141, f(x) = 1.038123e-07, |df|=1.117825e-05\n",
      "k =  1142, f(x) = 1.037355e-07, |df|=9.121758e-06\n",
      "k =  1143, f(x) = 1.036311e-07, |df|=1.238502e-05\n",
      "k =  1144, f(x) = 1.035482e-07, |df|=9.605774e-06\n",
      "k =  1145, f(x) = 1.034545e-07, |df|=1.396730e-05\n",
      "k =  1146, f(x) = 1.033627e-07, |df|=1.027616e-05\n",
      "k =  1147, f(x) = 1.032844e-07, |df|=1.600631e-05\n",
      "k =  1148, f(x) = 1.031795e-07, |df|=1.118806e-05\n",
      "k =  1149, f(x) = 1.031030e-07, |df|=9.111231e-06\n",
      "k =  1150, f(x) = 1.029995e-07, |df|=1.240527e-05\n",
      "k =  1151, f(x) = 1.029169e-07, |df|=9.600535e-06\n",
      "k =  1152, f(x) = 1.028242e-07, |df|=1.400003e-05\n",
      "k =  1153, f(x) = 1.027325e-07, |df|=1.027776e-05\n",
      "k =  1154, f(x) = 1.026555e-07, |df|=1.605374e-05\n",
      "k =  1155, f(x) = 1.025505e-07, |df|=1.119824e-05\n",
      "k =  1156, f(x) = 1.024743e-07, |df|=9.100928e-06\n",
      "k =  1157, f(x) = 1.023718e-07, |df|=1.242594e-05\n",
      "k =  1158, f(x) = 1.022894e-07, |df|=9.595564e-06\n",
      "k =  1159, f(x) = 1.021978e-07, |df|=1.403322e-05\n",
      "k =  1160, f(x) = 1.021062e-07, |df|=1.027967e-05\n",
      "k =  1161, f(x) = 1.020304e-07, |df|=1.610168e-05\n",
      "k =  1162, f(x) = 1.019254e-07, |df|=1.120878e-05\n",
      "k =  1163, f(x) = 1.018494e-07, |df|=9.090849e-06\n",
      "k =  1164, f(x) = 1.017480e-07, |df|=1.244702e-05\n",
      "k =  1165, f(x) = 1.016657e-07, |df|=9.590860e-06\n",
      "k =  1166, f(x) = 1.015752e-07, |df|=1.406688e-05\n",
      "k =  1167, f(x) = 1.014837e-07, |df|=1.028190e-05\n",
      "k =  1168, f(x) = 1.014092e-07, |df|=1.615014e-05\n",
      "k =  1169, f(x) = 1.013041e-07, |df|=1.121969e-05\n",
      "k =  1170, f(x) = 1.012284e-07, |df|=9.080995e-06\n",
      "k =  1171, f(x) = 1.011279e-07, |df|=1.246851e-05\n",
      "k =  1172, f(x) = 1.010458e-07, |df|=9.586426e-06\n",
      "k =  1173, f(x) = 1.009564e-07, |df|=1.410101e-05\n",
      "k =  1174, f(x) = 1.008650e-07, |df|=1.028444e-05\n",
      "k =  1175, f(x) = 1.007841e-07, |df|=1.191833e-05\n",
      "k =  1176, f(x) = 1.007051e-07, |df|=9.351177e-06\n",
      "k =  1177, f(x) = 1.006113e-07, |df|=1.338980e-05\n",
      "k =  1178, f(x) = 1.005243e-07, |df|=9.967062e-06\n",
      "k =  1179, f(x) = 1.004444e-07, |df|=1.529299e-05\n",
      "k =  1180, f(x) = 1.003456e-07, |df|=1.080827e-05\n",
      "k =  1181, f(x) = 1.002723e-07, |df|=8.896854e-06\n",
      "k =  1182, f(x) = 1.001699e-07, |df|=1.193585e-05\n",
      "k =  1183, f(x) = 1.000911e-07, |df|=9.344733e-06\n",
      "k =  1184, f(x) = 9.999831e-08, |df|=1.341916e-05\n",
      "k =  1185, f(x) = 9.991144e-08, |df|=9.967000e-06\n",
      "k =  1186, f(x) = 9.983266e-08, |df|=1.533634e-05\n",
      "k =  1187, f(x) = 9.973394e-08, |df|=1.081627e-05\n",
      "k =  1188, f(x) = 9.966084e-08, |df|=8.885714e-06\n",
      "k =  1189, f(x) = 9.955941e-08, |df|=1.195376e-05\n",
      "k =  1190, f(x) = 9.948079e-08, |df|=9.338543e-06\n",
      "k =  1191, f(x) = 9.938907e-08, |df|=1.344897e-05\n",
      "k =  1192, f(x) = 9.930232e-08, |df|=9.967237e-06\n",
      "k =  1193, f(x) = 9.922471e-08, |df|=1.538019e-05\n",
      "k =  1194, f(x) = 9.912599e-08, |df|=1.082462e-05\n",
      "k =  1195, f(x) = 9.905314e-08, |df|=8.874786e-06\n",
      "k =  1196, f(x) = 9.895266e-08, |df|=1.197208e-05\n",
      "k =  1197, f(x) = 9.887423e-08, |df|=9.332606e-06\n",
      "k =  1198, f(x) = 9.878355e-08, |df|=1.347923e-05\n",
      "k =  1199, f(x) = 9.869691e-08, |df|=9.967775e-06\n",
      "k =  1200, f(x) = 9.862047e-08, |df|=1.542454e-05\n",
      "k =  1201, f(x) = 9.852175e-08, |df|=1.083333e-05\n",
      "k =  1202, f(x) = 9.844915e-08, |df|=8.864072e-06\n",
      "k =  1203, f(x) = 9.834961e-08, |df|=1.199079e-05\n",
      "k =  1204, f(x) = 9.827138e-08, |df|=9.326925e-06\n",
      "k =  1205, f(x) = 9.818173e-08, |df|=1.350994e-05\n",
      "k =  1206, f(x) = 9.809520e-08, |df|=9.968616e-06\n",
      "k =  1207, f(x) = 9.801993e-08, |df|=1.546938e-05\n",
      "k =  1208, f(x) = 9.792120e-08, |df|=1.084238e-05\n",
      "k =  1209, f(x) = 9.784885e-08, |df|=8.853573e-06\n",
      "k =  1210, f(x) = 9.775024e-08, |df|=1.200990e-05\n",
      "k =  1211, f(x) = 9.767220e-08, |df|=9.321500e-06\n",
      "k =  1212, f(x) = 9.758358e-08, |df|=1.354110e-05\n",
      "k =  1213, f(x) = 9.749716e-08, |df|=9.969759e-06\n",
      "k =  1214, f(x) = 9.742307e-08, |df|=1.551473e-05\n",
      "k =  1215, f(x) = 9.732431e-08, |df|=1.085178e-05\n",
      "k =  1216, f(x) = 9.725220e-08, |df|=8.843288e-06\n",
      "k =  1217, f(x) = 9.715454e-08, |df|=1.202942e-05\n",
      "k =  1218, f(x) = 9.707668e-08, |df|=9.316333e-06\n",
      "k =  1219, f(x) = 9.698910e-08, |df|=1.357271e-05\n",
      "k =  1220, f(x) = 9.690277e-08, |df|=9.971207e-06\n",
      "k =  1221, f(x) = 9.682985e-08, |df|=1.556058e-05\n",
      "k =  1222, f(x) = 9.673107e-08, |df|=1.086154e-05\n",
      "k =  1223, f(x) = 9.665920e-08, |df|=8.833221e-06\n",
      "k =  1224, f(x) = 9.656247e-08, |df|=1.204933e-05\n",
      "k =  1225, f(x) = 9.648479e-08, |df|=9.311424e-06\n",
      "k =  1226, f(x) = 9.639824e-08, |df|=1.360476e-05\n",
      "k =  1227, f(x) = 9.631201e-08, |df|=9.972960e-06\n",
      "k =  1228, f(x) = 9.624026e-08, |df|=1.560693e-05\n",
      "k =  1229, f(x) = 9.614146e-08, |df|=1.087165e-05\n",
      "k =  1230, f(x) = 9.606982e-08, |df|=8.823370e-06\n",
      "k =  1231, f(x) = 9.597402e-08, |df|=1.206965e-05\n",
      "k =  1232, f(x) = 9.589652e-08, |df|=9.306775e-06\n",
      "k =  1233, f(x) = 9.581100e-08, |df|=1.363727e-05\n",
      "k =  1234, f(x) = 9.572485e-08, |df|=9.975020e-06\n",
      "k =  1235, f(x) = 9.565428e-08, |df|=1.565378e-05\n",
      "k =  1236, f(x) = 9.555544e-08, |df|=1.088212e-05\n",
      "k =  1237, f(x) = 9.548403e-08, |df|=8.813738e-06\n",
      "k =  1238, f(x) = 9.538916e-08, |df|=1.209038e-05\n",
      "k =  1239, f(x) = 9.531183e-08, |df|=9.302387e-06\n",
      "k =  1240, f(x) = 9.522734e-08, |df|=1.367024e-05\n",
      "k =  1241, f(x) = 9.514128e-08, |df|=9.977387e-06\n",
      "k =  1242, f(x) = 9.506492e-08, |df|=1.155798e-05\n",
      "k =  1243, f(x) = 9.499047e-08, |df|=9.074866e-06\n",
      "k =  1244, f(x) = 9.490184e-08, |df|=1.298187e-05\n",
      "k =  1245, f(x) = 9.481991e-08, |df|=9.670388e-06\n",
      "k =  1246, f(x) = 9.474428e-08, |df|=1.482394e-05\n",
      "k =  1247, f(x) = 9.465135e-08, |df|=1.048399e-05\n",
      "k =  1248, f(x) = 9.458222e-08, |df|=8.635558e-06\n",
      "k =  1249, f(x) = 9.448555e-08, |df|=1.157485e-05\n",
      "k =  1250, f(x) = 9.441129e-08, |df|=9.068533e-06\n",
      "k =  1251, f(x) = 9.432365e-08, |df|=1.301021e-05\n",
      "k =  1252, f(x) = 9.424183e-08, |df|=9.670232e-06\n",
      "k =  1253, f(x) = 9.416731e-08, |df|=1.486584e-05\n",
      "k =  1254, f(x) = 9.407438e-08, |df|=1.049164e-05\n",
      "k =  1255, f(x) = 9.400549e-08, |df|=8.624682e-06\n",
      "k =  1256, f(x) = 9.390972e-08, |df|=1.159210e-05\n",
      "k =  1257, f(x) = 9.383565e-08, |df|=9.062446e-06\n",
      "k =  1258, f(x) = 9.374899e-08, |df|=1.303899e-05\n",
      "k =  1259, f(x) = 9.366729e-08, |df|=9.670367e-06\n",
      "k =  1260, f(x) = 9.359387e-08, |df|=1.490823e-05\n",
      "k =  1261, f(x) = 9.350094e-08, |df|=1.049963e-05\n",
      "k =  1262, f(x) = 9.343229e-08, |df|=8.614012e-06\n",
      "k =  1263, f(x) = 9.333740e-08, |df|=1.160974e-05\n",
      "k =  1264, f(x) = 9.326352e-08, |df|=9.056605e-06\n",
      "k =  1265, f(x) = 9.317784e-08, |df|=1.306821e-05\n",
      "k =  1266, f(x) = 9.309624e-08, |df|=9.670793e-06\n",
      "k =  1267, f(x) = 9.302393e-08, |df|=1.495109e-05\n",
      "k =  1268, f(x) = 9.293100e-08, |df|=1.050796e-05\n",
      "k =  1269, f(x) = 9.286258e-08, |df|=8.603549e-06\n",
      "k =  1270, f(x) = 9.276859e-08, |df|=1.162777e-05\n",
      "k =  1271, f(x) = 9.269489e-08, |df|=9.051011e-06\n",
      "k =  1272, f(x) = 9.261018e-08, |df|=1.309786e-05\n",
      "k =  1273, f(x) = 9.252869e-08, |df|=9.671512e-06\n",
      "k =  1274, f(x) = 9.245748e-08, |df|=1.499444e-05\n",
      "k =  1275, f(x) = 9.236454e-08, |df|=1.051663e-05\n",
      "k =  1276, f(x) = 9.229635e-08, |df|=8.593294e-06\n",
      "k =  1277, f(x) = 9.220324e-08, |df|=1.164618e-05\n",
      "k =  1278, f(x) = 9.212972e-08, |df|=9.045666e-06\n",
      "k =  1279, f(x) = 9.204598e-08, |df|=1.312794e-05\n",
      "k =  1280, f(x) = 9.196460e-08, |df|=9.672525e-06\n",
      "k =  1281, f(x) = 9.189449e-08, |df|=1.503828e-05\n",
      "k =  1282, f(x) = 9.180154e-08, |df|=1.052565e-05\n",
      "k =  1283, f(x) = 9.173358e-08, |df|=8.583247e-06\n",
      "k =  1284, f(x) = 9.164135e-08, |df|=1.166499e-05\n",
      "k =  1285, f(x) = 9.156801e-08, |df|=9.040570e-06\n",
      "k =  1286, f(x) = 9.148524e-08, |df|=1.315847e-05\n",
      "k =  1287, f(x) = 9.140395e-08, |df|=9.673832e-06\n",
      "k =  1288, f(x) = 9.133495e-08, |df|=1.508260e-05\n",
      "k =  1289, f(x) = 9.124197e-08, |df|=1.053500e-05\n",
      "k =  1290, f(x) = 9.117424e-08, |df|=8.573410e-06\n",
      "k =  1291, f(x) = 9.108289e-08, |df|=1.168418e-05\n",
      "k =  1292, f(x) = 9.100972e-08, |df|=9.035725e-06\n",
      "k =  1293, f(x) = 9.092792e-08, |df|=1.318943e-05\n",
      "k =  1294, f(x) = 9.084672e-08, |df|=9.675436e-06\n",
      "k =  1295, f(x) = 9.077882e-08, |df|=1.512741e-05\n",
      "k =  1296, f(x) = 9.068582e-08, |df|=1.054470e-05\n",
      "k =  1297, f(x) = 9.061831e-08, |df|=8.563783e-06\n",
      "k =  1298, f(x) = 9.052785e-08, |df|=1.170377e-05\n",
      "k =  1299, f(x) = 9.045484e-08, |df|=9.031132e-06\n",
      "k =  1300, f(x) = 9.037401e-08, |df|=1.322082e-05\n",
      "k =  1301, f(x) = 9.029290e-08, |df|=9.677336e-06\n",
      "k =  1302, f(x) = 9.022610e-08, |df|=1.517271e-05\n",
      "k =  1303, f(x) = 9.013307e-08, |df|=1.055474e-05\n",
      "k =  1304, f(x) = 9.006578e-08, |df|=8.554368e-06\n",
      "k =  1305, f(x) = 8.997619e-08, |df|=1.172375e-05\n",
      "k =  1306, f(x) = 8.990334e-08, |df|=9.026791e-06\n",
      "k =  1307, f(x) = 8.982349e-08, |df|=1.325266e-05\n",
      "k =  1308, f(x) = 8.974245e-08, |df|=9.679534e-06\n",
      "k =  1309, f(x) = 8.967676e-08, |df|=1.521850e-05\n",
      "k =  1310, f(x) = 8.958369e-08, |df|=1.056513e-05\n",
      "k =  1311, f(x) = 8.951662e-08, |df|=8.545165e-06\n",
      "k =  1312, f(x) = 8.942790e-08, |df|=1.174412e-05\n",
      "k =  1313, f(x) = 8.935521e-08, |df|=9.022704e-06\n",
      "k =  1314, f(x) = 8.927633e-08, |df|=1.328494e-05\n",
      "k =  1315, f(x) = 8.919537e-08, |df|=9.682031e-06\n",
      "k =  1316, f(x) = 8.912389e-08, |df|=1.122480e-05\n",
      "k =  1317, f(x) = 8.905392e-08, |df|=8.800522e-06\n",
      "k =  1318, f(x) = 8.897112e-08, |df|=1.261376e-05\n",
      "k =  1319, f(x) = 8.889407e-08, |df|=9.382331e-06\n",
      "k =  1320, f(x) = 8.882358e-08, |df|=1.440982e-05\n",
      "k =  1321, f(x) = 8.873610e-08, |df|=1.017679e-05\n",
      "k =  1322, f(x) = 8.867117e-08, |df|=8.371339e-06\n",
      "k =  1323, f(x) = 8.858074e-08, |df|=1.124141e-05\n",
      "k =  1324, f(x) = 8.851096e-08, |df|=8.794538e-06\n",
      "k =  1325, f(x) = 8.842908e-08, |df|=1.264155e-05\n",
      "k =  1326, f(x) = 8.835214e-08, |df|=9.382369e-06\n",
      "k =  1327, f(x) = 8.828268e-08, |df|=1.445078e-05\n",
      "k =  1328, f(x) = 8.819521e-08, |df|=1.018443e-05\n",
      "k =  1329, f(x) = 8.813051e-08, |df|=8.360921e-06\n",
      "k =  1330, f(x) = 8.804091e-08, |df|=1.125841e-05\n",
      "k =  1331, f(x) = 8.797131e-08, |df|=8.788792e-06\n",
      "k =  1332, f(x) = 8.789035e-08, |df|=1.266975e-05\n",
      "k =  1333, f(x) = 8.781351e-08, |df|=9.382689e-06\n",
      "k =  1334, f(x) = 8.774509e-08, |df|=1.449222e-05\n",
      "k =  1335, f(x) = 8.765762e-08, |df|=1.019241e-05\n",
      "k =  1336, f(x) = 8.759314e-08, |df|=8.350704e-06\n",
      "k =  1337, f(x) = 8.750438e-08, |df|=1.127577e-05\n",
      "k =  1338, f(x) = 8.743495e-08, |df|=8.783286e-06\n",
      "k =  1339, f(x) = 8.735491e-08, |df|=1.269838e-05\n",
      "k =  1340, f(x) = 8.727817e-08, |df|=9.383293e-06\n",
      "k =  1341, f(x) = 8.721079e-08, |df|=1.453413e-05\n",
      "k =  1342, f(x) = 8.712331e-08, |df|=1.020071e-05\n",
      "k =  1343, f(x) = 8.705906e-08, |df|=8.340687e-06\n",
      "k =  1344, f(x) = 8.697113e-08, |df|=1.129352e-05\n",
      "k =  1345, f(x) = 8.690187e-08, |df|=8.778020e-06\n",
      "k =  1346, f(x) = 8.682274e-08, |df|=1.272743e-05\n",
      "k =  1347, f(x) = 8.674610e-08, |df|=9.384182e-06\n",
      "k =  1348, f(x) = 8.667976e-08, |df|=1.457650e-05\n",
      "k =  1349, f(x) = 8.659227e-08, |df|=1.020935e-05\n",
      "k =  1350, f(x) = 8.652823e-08, |df|=8.330873e-06\n",
      "k =  1351, f(x) = 8.644114e-08, |df|=1.131164e-05\n",
      "k =  1352, f(x) = 8.637204e-08, |df|=8.772997e-06\n",
      "k =  1353, f(x) = 8.629383e-08, |df|=1.275691e-05\n",
      "k =  1354, f(x) = 8.621727e-08, |df|=9.385357e-06\n",
      "k =  1355, f(x) = 8.615198e-08, |df|=1.461935e-05\n",
      "k =  1356, f(x) = 8.606446e-08, |df|=1.021831e-05\n",
      "k =  1357, f(x) = 8.600064e-08, |df|=8.321262e-06\n",
      "k =  1358, f(x) = 8.591438e-08, |df|=1.133014e-05\n",
      "k =  1359, f(x) = 8.584544e-08, |df|=8.768216e-06\n",
      "k =  1360, f(x) = 8.576815e-08, |df|=1.278681e-05\n",
      "k =  1361, f(x) = 8.569168e-08, |df|=9.386818e-06\n",
      "k =  1362, f(x) = 8.562742e-08, |df|=1.466267e-05\n",
      "k =  1363, f(x) = 8.553988e-08, |df|=1.022761e-05\n",
      "k =  1364, f(x) = 8.547627e-08, |df|=8.311854e-06\n",
      "k =  1365, f(x) = 8.539084e-08, |df|=1.134902e-05\n",
      "k =  1366, f(x) = 8.532206e-08, |df|=8.763679e-06\n",
      "k =  1367, f(x) = 8.524568e-08, |df|=1.281713e-05\n",
      "k =  1368, f(x) = 8.516929e-08, |df|=9.388567e-06\n",
      "k =  1369, f(x) = 8.510607e-08, |df|=1.470646e-05\n",
      "k =  1370, f(x) = 8.501851e-08, |df|=1.023725e-05\n",
      "k =  1371, f(x) = 8.495510e-08, |df|=8.302652e-06\n",
      "k =  1372, f(x) = 8.487049e-08, |df|=1.136827e-05\n",
      "k =  1373, f(x) = 8.480187e-08, |df|=8.759386e-06\n",
      "k =  1374, f(x) = 8.472640e-08, |df|=1.284788e-05\n",
      "k =  1375, f(x) = 8.465009e-08, |df|=9.390605e-06\n",
      "k =  1376, f(x) = 8.458791e-08, |df|=1.475073e-05\n",
      "k =  1377, f(x) = 8.450032e-08, |df|=1.024721e-05\n",
      "k =  1378, f(x) = 8.443711e-08, |df|=8.293655e-06\n",
      "k =  1379, f(x) = 8.435333e-08, |df|=1.138791e-05\n",
      "k =  1380, f(x) = 8.428486e-08, |df|=8.755340e-06\n",
      "k =  1381, f(x) = 8.421030e-08, |df|=1.287905e-05\n",
      "k =  1382, f(x) = 8.413406e-08, |df|=9.392932e-06\n",
      "k =  1383, f(x) = 8.406659e-08, |df|=1.088537e-05\n",
      "k =  1384, f(x) = 8.400067e-08, |df|=8.540456e-06\n",
      "k =  1385, f(x) = 8.392244e-08, |df|=1.222943e-05\n",
      "k =  1386, f(x) = 8.384988e-08, |df|=9.103031e-06\n",
      "k =  1387, f(x) = 8.378320e-08, |df|=1.396781e-05\n",
      "k =  1388, f(x) = 8.370085e-08, |df|=9.871418e-06\n",
      "k =  1389, f(x) = 8.363966e-08, |df|=8.125458e-06\n",
      "k =  1390, f(x) = 8.355428e-08, |df|=1.090138e-05\n",
      "k =  1391, f(x) = 8.348853e-08, |df|=8.534574e-06\n",
      "k =  1392, f(x) = 8.341117e-08, |df|=1.225625e-05\n",
      "k =  1393, f(x) = 8.333871e-08, |df|=9.102978e-06\n",
      "k =  1394, f(x) = 8.327300e-08, |df|=1.400741e-05\n",
      "k =  1395, f(x) = 8.319066e-08, |df|=9.878731e-06\n",
      "k =  1396, f(x) = 8.312969e-08, |df|=8.115286e-06\n",
      "k =  1397, f(x) = 8.304509e-08, |df|=1.091774e-05\n",
      "k =  1398, f(x) = 8.297951e-08, |df|=8.528923e-06\n",
      "k =  1399, f(x) = 8.290302e-08, |df|=1.228348e-05\n",
      "k =  1400, f(x) = 8.283065e-08, |df|=9.103199e-06\n",
      "k =  1401, f(x) = 8.276593e-08, |df|=1.404746e-05\n",
      "k =  1402, f(x) = 8.268359e-08, |df|=9.886363e-06\n",
      "k =  1403, f(x) = 8.262283e-08, |df|=8.105309e-06\n",
      "k =  1404, f(x) = 8.253902e-08, |df|=1.093447e-05\n",
      "k =  1405, f(x) = 8.247360e-08, |df|=8.523504e-06\n",
      "k =  1406, f(x) = 8.239797e-08, |df|=1.231113e-05\n",
      "k =  1407, f(x) = 8.232570e-08, |df|=9.103694e-06\n",
      "k =  1408, f(x) = 8.226196e-08, |df|=1.408797e-05\n",
      "k =  1409, f(x) = 8.217961e-08, |df|=9.894314e-06\n",
      "k =  1410, f(x) = 8.211906e-08, |df|=8.095526e-06\n",
      "k =  1411, f(x) = 8.203603e-08, |df|=1.095157e-05\n",
      "k =  1412, f(x) = 8.197078e-08, |df|=8.518319e-06\n",
      "k =  1413, f(x) = 8.189601e-08, |df|=1.233918e-05\n",
      "k =  1414, f(x) = 8.182384e-08, |df|=9.104466e-06\n",
      "k =  1415, f(x) = 8.176107e-08, |df|=1.412894e-05\n",
      "k =  1416, f(x) = 8.167871e-08, |df|=9.902587e-06\n",
      "k =  1417, f(x) = 8.161836e-08, |df|=8.085940e-06\n",
      "k =  1418, f(x) = 8.153612e-08, |df|=1.096903e-05\n",
      "k =  1419, f(x) = 8.147103e-08, |df|=8.513368e-06\n",
      "k =  1420, f(x) = 8.139712e-08, |df|=1.236764e-05\n",
      "k =  1421, f(x) = 8.132503e-08, |df|=9.105514e-06\n",
      "k =  1422, f(x) = 8.126324e-08, |df|=1.417036e-05\n",
      "k =  1423, f(x) = 8.118087e-08, |df|=9.911181e-06\n",
      "k =  1424, f(x) = 8.112072e-08, |df|=8.076550e-06\n",
      "k =  1425, f(x) = 8.103926e-08, |df|=1.098686e-05\n",
      "k =  1426, f(x) = 8.097432e-08, |df|=8.508651e-06\n",
      "k =  1427, f(x) = 8.090128e-08, |df|=1.239651e-05\n",
      "k =  1428, f(x) = 8.082927e-08, |df|=9.106840e-06\n",
      "k =  1429, f(x) = 8.076846e-08, |df|=1.421224e-05\n",
      "k =  1430, f(x) = 8.068607e-08, |df|=9.920097e-06\n",
      "k =  1431, f(x) = 8.062612e-08, |df|=8.067357e-06\n",
      "k =  1432, f(x) = 8.054544e-08, |df|=1.100505e-05\n",
      "k =  1433, f(x) = 8.048065e-08, |df|=8.504172e-06\n",
      "k =  1434, f(x) = 8.040846e-08, |df|=1.242580e-05\n",
      "k =  1435, f(x) = 8.033654e-08, |df|=9.108445e-06\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "k =  1436, f(x) = 8.027670e-08, |df|=1.425458e-05\n",
      "k =  1437, f(x) = 8.019429e-08, |df|=9.929337e-06\n",
      "k =  1438, f(x) = 8.013453e-08, |df|=8.058363e-06\n",
      "k =  1439, f(x) = 8.005463e-08, |df|=1.102361e-05\n",
      "k =  1440, f(x) = 7.998999e-08, |df|=8.499929e-06\n",
      "k =  1441, f(x) = 7.991866e-08, |df|=1.245550e-05\n",
      "k =  1442, f(x) = 7.984681e-08, |df|=9.110330e-06\n",
      "k =  1443, f(x) = 7.978796e-08, |df|=1.429737e-05\n",
      "k =  1444, f(x) = 7.970551e-08, |df|=9.938901e-06\n",
      "k =  1445, f(x) = 7.964595e-08, |df|=8.049569e-06\n",
      "k =  1446, f(x) = 7.956682e-08, |df|=1.104255e-05\n",
      "k =  1447, f(x) = 7.950232e-08, |df|=8.495924e-06\n",
      "k =  1448, f(x) = 7.943185e-08, |df|=1.248561e-05\n",
      "k =  1449, f(x) = 7.936007e-08, |df|=9.112495e-06\n",
      "k =  1450, f(x) = 7.929638e-08, |df|=1.055625e-05\n",
      "k =  1451, f(x) = 7.923428e-08, |df|=8.288099e-06\n",
      "k =  1452, f(x) = 7.916037e-08, |df|=1.185685e-05\n",
      "k =  1453, f(x) = 7.909203e-08, |df|=8.832074e-06\n",
      "k =  1454, f(x) = 7.902895e-08, |df|=1.353941e-05\n",
      "k =  1455, f(x) = 7.895143e-08, |df|=9.575244e-06\n",
      "k =  1456, f(x) = 7.889377e-08, |df|=7.886817e-06\n",
      "k =  1457, f(x) = 7.881315e-08, |df|=1.057166e-05\n",
      "k =  1458, f(x) = 7.875121e-08, |df|=8.282319e-06\n",
      "k =  1459, f(x) = 7.867811e-08, |df|=1.188274e-05\n",
      "k =  1460, f(x) = 7.860987e-08, |df|=8.831935e-06\n",
      "k =  1461, f(x) = 7.854772e-08, |df|=1.357768e-05\n",
      "k =  1462, f(x) = 7.847021e-08, |df|=9.582237e-06\n",
      "k =  1463, f(x) = 7.841274e-08, |df|=7.876887e-06\n",
      "k =  1464, f(x) = 7.833287e-08, |df|=1.058742e-05\n",
      "k =  1465, f(x) = 7.827108e-08, |df|=8.276762e-06\n",
      "k =  1466, f(x) = 7.819881e-08, |df|=1.190903e-05\n",
      "k =  1467, f(x) = 7.813066e-08, |df|=8.832062e-06\n",
      "k =  1468, f(x) = 7.806943e-08, |df|=1.361640e-05\n",
      "k =  1469, f(x) = 7.799192e-08, |df|=9.589540e-06\n",
      "k =  1470, f(x) = 7.793465e-08, |df|=7.867144e-06\n",
      "k =  1471, f(x) = 7.785552e-08, |df|=1.060354e-05\n",
      "k =  1472, f(x) = 7.779389e-08, |df|=8.271431e-06\n",
      "k =  1473, f(x) = 7.772243e-08, |df|=1.193572e-05\n",
      "k =  1474, f(x) = 7.765437e-08, |df|=8.832455e-06\n",
      "k =  1475, f(x) = 7.759406e-08, |df|=1.365555e-05\n",
      "k =  1476, f(x) = 7.751655e-08, |df|=9.597153e-06\n",
      "k =  1477, f(x) = 7.745948e-08, |df|=7.857591e-06\n",
      "k =  1478, f(x) = 7.738109e-08, |df|=1.062001e-05\n",
      "k =  1479, f(x) = 7.731961e-08, |df|=8.266325e-06\n",
      "k =  1480, f(x) = 7.724896e-08, |df|=1.196280e-05\n",
      "k =  1481, f(x) = 7.718099e-08, |df|=8.833115e-06\n",
      "k =  1482, f(x) = 7.712160e-08, |df|=1.369515e-05\n",
      "k =  1483, f(x) = 7.704408e-08, |df|=9.605077e-06\n",
      "k =  1484, f(x) = 7.698721e-08, |df|=7.848227e-06\n",
      "k =  1485, f(x) = 7.690955e-08, |df|=1.063683e-05\n",
      "k =  1486, f(x) = 7.684823e-08, |df|=8.261446e-06\n",
      "k =  1487, f(x) = 7.677839e-08, |df|=1.199029e-05\n",
      "k =  1488, f(x) = 7.671050e-08, |df|=8.834044e-06\n",
      "k =  1489, f(x) = 7.665203e-08, |df|=1.373520e-05\n",
      "k =  1490, f(x) = 7.657450e-08, |df|=9.613312e-06\n",
      "k =  1491, f(x) = 7.651782e-08, |df|=7.839054e-06\n",
      "k =  1492, f(x) = 7.644090e-08, |df|=1.065401e-05\n",
      "k =  1493, f(x) = 7.637972e-08, |df|=8.256796e-06\n",
      "k =  1494, f(x) = 7.631069e-08, |df|=1.201817e-05\n",
      "k =  1495, f(x) = 7.624288e-08, |df|=8.835242e-06\n",
      "k =  1496, f(x) = 7.618534e-08, |df|=1.377568e-05\n",
      "k =  1497, f(x) = 7.610778e-08, |df|=9.621860e-06\n",
      "k =  1498, f(x) = 7.605129e-08, |df|=7.830072e-06\n",
      "k =  1499, f(x) = 7.597510e-08, |df|=1.067155e-05\n",
      "k =  1500, f(x) = 7.591407e-08, |df|=8.252374e-06\n",
      "k =  1501, f(x) = 7.584585e-08, |df|=1.204645e-05\n",
      "k =  1502, f(x) = 7.577812e-08, |df|=8.836710e-06\n",
      "k =  1503, f(x) = 7.572149e-08, |df|=1.381661e-05\n",
      "k =  1504, f(x) = 7.564392e-08, |df|=9.630721e-06\n",
      "k =  1505, f(x) = 7.558761e-08, |df|=7.821282e-06\n",
      "k =  1506, f(x) = 7.551216e-08, |df|=1.068944e-05\n",
      "k =  1507, f(x) = 7.545126e-08, |df|=8.248181e-06\n",
      "k =  1508, f(x) = 7.538385e-08, |df|=1.207513e-05\n",
      "k =  1509, f(x) = 7.531619e-08, |df|=8.838450e-06\n",
      "k =  1510, f(x) = 7.526049e-08, |df|=1.385799e-05\n",
      "k =  1511, f(x) = 7.518288e-08, |df|=9.639897e-06\n",
      "k =  1512, f(x) = 7.512676e-08, |df|=7.812686e-06\n",
      "k =  1513, f(x) = 7.505204e-08, |df|=1.070769e-05\n",
      "k =  1514, f(x) = 7.499128e-08, |df|=8.244220e-06\n",
      "k =  1515, f(x) = 7.492468e-08, |df|=1.210422e-05\n",
      "k =  1516, f(x) = 7.485708e-08, |df|=8.840461e-06\n",
      "k =  1517, f(x) = 7.480230e-08, |df|=1.389981e-05\n",
      "k =  1518, f(x) = 7.472467e-08, |df|=9.649388e-06\n",
      "k =  1519, f(x) = 7.466872e-08, |df|=7.804284e-06\n",
      "k =  1520, f(x) = 7.459473e-08, |df|=1.072630e-05\n",
      "k =  1521, f(x) = 7.453410e-08, |df|=8.240490e-06\n",
      "k =  1522, f(x) = 7.446831e-08, |df|=1.213370e-05\n",
      "k =  1523, f(x) = 7.440078e-08, |df|=8.842746e-06\n",
      "k =  1524, f(x) = 7.434116e-08, |df|=1.025195e-05\n",
      "k =  1525, f(x) = 7.428280e-08, |df|=8.037542e-06\n",
      "k =  1526, f(x) = 7.421374e-08, |df|=1.152064e-05\n",
      "k =  1527, f(x) = 7.414947e-08, |df|=8.568991e-06\n",
      "k =  1528, f(x) = 7.409068e-08, |df|=1.316117e-05\n",
      "k =  1529, f(x) = 7.401772e-08, |df|=9.294674e-06\n",
      "k =  1530, f(x) = 7.396356e-08, |df|=7.645509e-06\n",
      "k =  1531, f(x) = 7.388814e-08, |df|=1.026713e-05\n",
      "k =  1532, f(x) = 7.382993e-08, |df|=8.032080e-06\n",
      "k =  1533, f(x) = 7.376164e-08, |df|=1.154603e-05\n",
      "k =  1534, f(x) = 7.369746e-08, |df|=8.569029e-06\n",
      "k =  1535, f(x) = 7.363954e-08, |df|=1.319859e-05\n",
      "k =  1536, f(x) = 7.356658e-08, |df|=9.301661e-06\n",
      "k =  1537, f(x) = 7.351261e-08, |df|=7.635997e-06\n",
      "k =  1538, f(x) = 7.343789e-08, |df|=1.028265e-05\n",
      "k =  1539, f(x) = 7.337983e-08, |df|=8.026835e-06\n",
      "k =  1540, f(x) = 7.331231e-08, |df|=1.157179e-05\n",
      "k =  1541, f(x) = 7.324821e-08, |df|=8.569325e-06\n",
      "k =  1542, f(x) = 7.319116e-08, |df|=1.323644e-05\n",
      "k =  1543, f(x) = 7.311819e-08, |df|=9.308948e-06\n",
      "k =  1544, f(x) = 7.306441e-08, |df|=7.626667e-06\n",
      "k =  1545, f(x) = 7.299039e-08, |df|=1.029852e-05\n",
      "k =  1546, f(x) = 7.293247e-08, |df|=8.021809e-06\n",
      "k =  1547, f(x) = 7.286571e-08, |df|=1.159794e-05\n",
      "k =  1548, f(x) = 7.280170e-08, |df|=8.569881e-06\n",
      "k =  1549, f(x) = 7.274552e-08, |df|=1.327472e-05\n",
      "k =  1550, f(x) = 7.267254e-08, |df|=9.316537e-06\n",
      "k =  1551, f(x) = 7.261895e-08, |df|=7.617522e-06\n",
      "k =  1552, f(x) = 7.254562e-08, |df|=1.031473e-05\n",
      "k =  1553, f(x) = 7.248784e-08, |df|=8.017003e-06\n",
      "k =  1554, f(x) = 7.242185e-08, |df|=1.162448e-05\n",
      "k =  1555, f(x) = 7.235792e-08, |df|=8.570696e-06\n",
      "k =  1556, f(x) = 7.230260e-08, |df|=1.331343e-05\n",
      "k =  1557, f(x) = 7.222962e-08, |df|=9.324427e-06\n",
      "k =  1558, f(x) = 7.217620e-08, |df|=7.608561e-06\n",
      "k =  1559, f(x) = 7.210356e-08, |df|=1.033128e-05\n",
      "k =  1560, f(x) = 7.204593e-08, |df|=8.012418e-06\n",
      "k =  1561, f(x) = 7.198070e-08, |df|=1.165141e-05\n",
      "k =  1562, f(x) = 7.191685e-08, |df|=8.571772e-06\n",
      "k =  1563, f(x) = 7.186239e-08, |df|=1.335257e-05\n",
      "k =  1564, f(x) = 7.178939e-08, |df|=9.332621e-06\n",
      "k =  1565, f(x) = 7.173616e-08, |df|=7.599785e-06\n",
      "k =  1566, f(x) = 7.166421e-08, |df|=1.034818e-05\n",
      "k =  1567, f(x) = 7.160671e-08, |df|=8.008055e-06\n",
      "k =  1568, f(x) = 7.154225e-08, |df|=1.167872e-05\n",
      "k =  1569, f(x) = 7.147846e-08, |df|=8.573111e-06\n",
      "k =  1570, f(x) = 7.142488e-08, |df|=1.339214e-05\n",
      "k =  1571, f(x) = 7.135186e-08, |df|=9.341119e-06\n",
      "k =  1572, f(x) = 7.129880e-08, |df|=7.591196e-06\n",
      "k =  1573, f(x) = 7.122754e-08, |df|=1.036543e-05\n",
      "k =  1574, f(x) = 7.117017e-08, |df|=8.003914e-06\n",
      "k =  1575, f(x) = 7.110647e-08, |df|=1.170642e-05\n",
      "k =  1576, f(x) = 7.104276e-08, |df|=8.574712e-06\n",
      "k =  1577, f(x) = 7.099004e-08, |df|=1.343214e-05\n",
      "k =  1578, f(x) = 7.091700e-08, |df|=9.349921e-06\n",
      "k =  1579, f(x) = 7.086411e-08, |df|=7.582794e-06\n",
      "k =  1580, f(x) = 7.079354e-08, |df|=1.038302e-05\n",
      "k =  1581, f(x) = 7.073630e-08, |df|=7.999997e-06\n",
      "k =  1582, f(x) = 7.067336e-08, |df|=1.173451e-05\n",
      "k =  1583, f(x) = 7.060971e-08, |df|=8.576576e-06\n",
      "k =  1584, f(x) = 7.055786e-08, |df|=1.347258e-05\n",
      "k =  1585, f(x) = 7.048479e-08, |df|=9.359029e-06\n",
      "k =  1586, f(x) = 7.043207e-08, |df|=7.574580e-06\n",
      "k =  1587, f(x) = 7.036219e-08, |df|=1.040096e-05\n",
      "k =  1588, f(x) = 7.030508e-08, |df|=7.996304e-06\n",
      "k =  1589, f(x) = 7.024290e-08, |df|=1.176299e-05\n",
      "k =  1590, f(x) = 7.017931e-08, |df|=8.578706e-06\n",
      "k =  1591, f(x) = 7.012303e-08, |df|=9.941938e-06\n",
      "k =  1592, f(x) = 7.006805e-08, |df|=7.800022e-06\n",
      "k =  1593, f(x) = 7.000280e-08, |df|=1.116962e-05\n",
      "k =  1594, f(x) = 6.994228e-08, |df|=8.313902e-06\n",
      "k =  1595, f(x) = 6.988667e-08, |df|=1.275747e-05\n",
      "k =  1596, f(x) = 6.981798e-08, |df|=9.015772e-06\n",
      "k =  1597, f(x) = 6.976694e-08, |df|=7.420946e-06\n",
      "k =  1598, f(x) = 6.969573e-08, |df|=9.956558e-06\n",
      "k =  1599, f(x) = 6.964089e-08, |df|=7.794653e-06\n",
      "k =  1600, f(x) = 6.957637e-08, |df|=1.119412e-05\n",
      "k =  1601, f(x) = 6.951593e-08, |df|=8.313857e-06\n",
      "k =  1602, f(x) = 6.946113e-08, |df|=1.279364e-05\n",
      "k =  1603, f(x) = 6.939245e-08, |df|=9.022455e-06\n",
      "k =  1604, f(x) = 6.934159e-08, |df|=7.411658e-06\n",
      "k =  1605, f(x) = 6.927103e-08, |df|=9.971510e-06\n",
      "k =  1606, f(x) = 6.921633e-08, |df|=7.789495e-06\n",
      "k =  1607, f(x) = 6.915254e-08, |df|=1.121900e-05\n",
      "k =  1608, f(x) = 6.909218e-08, |df|=8.314062e-06\n",
      "k =  1609, f(x) = 6.903820e-08, |df|=1.283022e-05\n",
      "k =  1610, f(x) = 6.896951e-08, |df|=9.029429e-06\n",
      "k =  1611, f(x) = 6.891883e-08, |df|=7.402548e-06\n",
      "k =  1612, f(x) = 6.884893e-08, |df|=9.986795e-06\n",
      "k =  1613, f(x) = 6.879437e-08, |df|=7.784549e-06\n",
      "k =  1614, f(x) = 6.873129e-08, |df|=1.124425e-05\n",
      "k =  1615, f(x) = 6.867101e-08, |df|=8.314518e-06\n",
      "k =  1616, f(x) = 6.861785e-08, |df|=1.286723e-05\n",
      "k =  1617, f(x) = 6.854916e-08, |df|=9.036696e-06\n",
      "k =  1618, f(x) = 6.849865e-08, |df|=7.393616e-06\n",
      "k =  1619, f(x) = 6.842941e-08, |df|=1.000241e-05\n",
      "k =  1620, f(x) = 6.837498e-08, |df|=7.779816e-06\n",
      "k =  1621, f(x) = 6.831263e-08, |df|=1.126987e-05\n",
      "k =  1622, f(x) = 6.825242e-08, |df|=8.315226e-06\n",
      "k =  1623, f(x) = 6.820008e-08, |df|=1.290465e-05\n",
      "k =  1624, f(x) = 6.813138e-08, |df|=9.044255e-06\n",
      "k =  1625, f(x) = 6.808104e-08, |df|=7.384863e-06\n",
      "k =  1626, f(x) = 6.801245e-08, |df|=1.001837e-05\n",
      "k =  1627, f(x) = 6.795815e-08, |df|=7.775297e-06\n",
      "k =  1628, f(x) = 6.789652e-08, |df|=1.129587e-05\n",
      "k =  1629, f(x) = 6.783638e-08, |df|=8.316187e-06\n",
      "k =  1630, f(x) = 6.778486e-08, |df|=1.294248e-05\n",
      "k =  1631, f(x) = 6.771614e-08, |df|=9.052108e-06\n",
      "k =  1632, f(x) = 6.766598e-08, |df|=7.376290e-06\n",
      "k =  1633, f(x) = 6.759804e-08, |df|=1.003465e-05\n",
      "k =  1634, f(x) = 6.754387e-08, |df|=7.770993e-06\n",
      "k =  1635, f(x) = 6.748295e-08, |df|=1.132225e-05\n",
      "k =  1636, f(x) = 6.742289e-08, |df|=8.317402e-06\n",
      "k =  1637, f(x) = 6.737217e-08, |df|=1.298074e-05\n",
      "k =  1638, f(x) = 6.730345e-08, |df|=9.060255e-06\n",
      "k =  1639, f(x) = 6.725344e-08, |df|=7.367897e-06\n",
      "k =  1640, f(x) = 6.718616e-08, |df|=1.005127e-05\n",
      "k =  1641, f(x) = 6.713211e-08, |df|=7.766904e-06\n",
      "k =  1642, f(x) = 6.707191e-08, |df|=1.134900e-05\n",
      "k =  1643, f(x) = 6.701191e-08, |df|=8.318871e-06\n",
      "k =  1644, f(x) = 6.696202e-08, |df|=1.301941e-05\n",
      "k =  1645, f(x) = 6.689327e-08, |df|=9.068698e-06\n",
      "k =  1646, f(x) = 6.684343e-08, |df|=7.359685e-06\n",
      "k =  1647, f(x) = 6.677679e-08, |df|=1.006823e-05\n",
      "k =  1648, f(x) = 6.672287e-08, |df|=7.763032e-06\n",
      "k =  1649, f(x) = 6.666338e-08, |df|=1.137613e-05\n",
      "k =  1650, f(x) = 6.660345e-08, |df|=8.320596e-06\n",
      "k =  1651, f(x) = 6.655437e-08, |df|=1.305850e-05\n",
      "k =  1652, f(x) = 6.648559e-08, |df|=9.077438e-06\n",
      "k =  1653, f(x) = 6.643591e-08, |df|=7.351656e-06\n",
      "k =  1654, f(x) = 6.636992e-08, |df|=1.008553e-05\n",
      "k =  1655, f(x) = 6.631612e-08, |df|=7.759378e-06\n",
      "k =  1656, f(x) = 6.625735e-08, |df|=1.140363e-05\n",
      "k =  1657, f(x) = 6.619748e-08, |df|=8.322578e-06\n",
      "k =  1658, f(x) = 6.614435e-08, |df|=9.641336e-06\n",
      "k =  1659, f(x) = 6.609255e-08, |df|=7.569543e-06\n",
      "k =  1660, f(x) = 6.603091e-08, |df|=1.082932e-05\n",
      "k =  1661, f(x) = 6.597391e-08, |df|=8.066433e-06\n",
      "k =  1662, f(x) = 6.592131e-08, |df|=1.236618e-05\n",
      "k =  1663, f(x) = 6.585664e-08, |df|=8.745268e-06\n",
      "k =  1664, f(x) = 6.580855e-08, |df|=7.202995e-06\n",
      "k =  1665, f(x) = 6.574130e-08, |df|=9.655415e-06\n",
      "k =  1666, f(x) = 6.568964e-08, |df|=7.564267e-06\n",
      "k =  1667, f(x) = 6.562868e-08, |df|=1.085297e-05\n",
      "k =  1668, f(x) = 6.557176e-08, |df|=8.066310e-06\n",
      "k =  1669, f(x) = 6.551993e-08, |df|=1.240114e-05\n",
      "k =  1670, f(x) = 6.545527e-08, |df|=8.751660e-06\n",
      "k =  1671, f(x) = 6.540734e-08, |df|=7.193928e-06\n",
      "k =  1672, f(x) = 6.534072e-08, |df|=9.669816e-06\n",
      "k =  1673, f(x) = 6.528919e-08, |df|=7.559195e-06\n",
      "k =  1674, f(x) = 6.522891e-08, |df|=1.087699e-05\n",
      "k =  1675, f(x) = 6.517206e-08, |df|=8.066429e-06\n",
      "k =  1676, f(x) = 6.512100e-08, |df|=1.243651e-05\n",
      "k =  1677, f(x) = 6.505634e-08, |df|=8.758333e-06\n",
      "k =  1678, f(x) = 6.500858e-08, |df|=7.185033e-06\n",
      "k =  1679, f(x) = 6.494258e-08, |df|=9.684540e-06\n",
      "k =  1680, f(x) = 6.489117e-08, |df|=7.554328e-06\n",
      "k =  1681, f(x) = 6.483157e-08, |df|=1.090137e-05\n",
      "k =  1682, f(x) = 6.477481e-08, |df|=8.066791e-06\n",
      "k =  1683, f(x) = 6.472451e-08, |df|=1.247227e-05\n",
      "k =  1684, f(x) = 6.465985e-08, |df|=8.765290e-06\n",
      "k =  1685, f(x) = 6.461225e-08, |df|=7.176310e-06\n",
      "k =  1686, f(x) = 6.454687e-08, |df|=9.699586e-06\n",
      "k =  1687, f(x) = 6.449559e-08, |df|=7.549668e-06\n",
      "k =  1688, f(x) = 6.443667e-08, |df|=1.092611e-05\n",
      "k =  1689, f(x) = 6.437997e-08, |df|=8.067398e-06\n",
      "k =  1690, f(x) = 6.433045e-08, |df|=1.250845e-05\n",
      "k =  1691, f(x) = 6.426578e-08, |df|=8.772531e-06\n",
      "k =  1692, f(x) = 6.421835e-08, |df|=7.167760e-06\n",
      "k =  1693, f(x) = 6.415358e-08, |df|=9.714957e-06\n",
      "k =  1694, f(x) = 6.410243e-08, |df|=7.545215e-06\n",
      "k =  1695, f(x) = 6.404418e-08, |df|=1.095122e-05\n",
      "k =  1696, f(x) = 6.398755e-08, |df|=8.068249e-06\n",
      "k =  1697, f(x) = 6.393880e-08, |df|=1.254502e-05\n",
      "k =  1698, f(x) = 6.387412e-08, |df|=8.780056e-06\n",
      "k =  1699, f(x) = 6.382684e-08, |df|=7.159385e-06\n",
      "k =  1700, f(x) = 6.376269e-08, |df|=9.730652e-06\n",
      "k =  1701, f(x) = 6.371166e-08, |df|=7.540971e-06\n",
      "k =  1702, f(x) = 6.365409e-08, |df|=1.097669e-05\n",
      "k =  1703, f(x) = 6.359753e-08, |df|=8.069347e-06\n",
      "k =  1704, f(x) = 6.354954e-08, |df|=1.258201e-05\n",
      "k =  1705, f(x) = 6.348485e-08, |df|=8.787867e-06\n",
      "k =  1706, f(x) = 6.343773e-08, |df|=7.151184e-06\n",
      "k =  1707, f(x) = 6.337419e-08, |df|=9.746673e-06\n",
      "k =  1708, f(x) = 6.332327e-08, |df|=7.536935e-06\n",
      "k =  1709, f(x) = 6.326638e-08, |df|=1.100252e-05\n",
      "k =  1710, f(x) = 6.320988e-08, |df|=8.070691e-06\n",
      "k =  1711, f(x) = 6.316266e-08, |df|=1.261939e-05\n",
      "k =  1712, f(x) = 6.309795e-08, |df|=8.795965e-06\n",
      "k =  1713, f(x) = 6.305099e-08, |df|=7.143159e-06\n",
      "k =  1714, f(x) = 6.298806e-08, |df|=9.763019e-06\n",
      "k =  1715, f(x) = 6.293726e-08, |df|=7.533109e-06\n",
      "k =  1716, f(x) = 6.288104e-08, |df|=1.102873e-05\n",
      "k =  1717, f(x) = 6.282461e-08, |df|=8.072283e-06\n",
      "k =  1718, f(x) = 6.277815e-08, |df|=1.265719e-05\n",
      "k =  1719, f(x) = 6.271342e-08, |df|=8.804349e-06\n",
      "k =  1720, f(x) = 6.266661e-08, |df|=7.135310e-06\n",
      "k =  1721, f(x) = 6.260429e-08, |df|=9.779692e-06\n",
      "k =  1722, f(x) = 6.255360e-08, |df|=7.529494e-06\n",
      "k =  1723, f(x) = 6.249806e-08, |df|=1.105529e-05\n",
      "k =  1724, f(x) = 6.244168e-08, |df|=8.074124e-06\n",
      "k =  1725, f(x) = 6.239599e-08, |df|=1.269539e-05\n",
      "k =  1726, f(x) = 6.233123e-08, |df|=8.813021e-06\n",
      "k =  1727, f(x) = 6.228457e-08, |df|=7.127639e-06\n",
      "k =  1728, f(x) = 6.222286e-08, |df|=9.796692e-06\n",
      "k =  1729, f(x) = 6.217229e-08, |df|=7.526091e-06\n",
      "k =  1730, f(x) = 6.211742e-08, |df|=1.108222e-05\n",
      "k =  1731, f(x) = 6.206109e-08, |df|=8.076214e-06\n",
      "k =  1732, f(x) = 6.201136e-08, |df|=9.363413e-06\n",
      "k =  1733, f(x) = 6.196269e-08, |df|=7.340711e-06\n",
      "k =  1734, f(x) = 6.190509e-08, |df|=1.052226e-05\n",
      "k =  1735, f(x) = 6.185148e-08, |df|=7.826159e-06\n",
      "k =  1736, f(x) = 6.180246e-08, |df|=1.202072e-05\n",
      "k =  1737, f(x) = 6.174159e-08, |df|=8.489021e-06\n",
      "k =  1738, f(x) = 6.169642e-08, |df|=6.982611e-06\n",
      "k =  1739, f(x) = 6.163352e-08, |df|=9.377282e-06\n",
      "k =  1740, f(x) = 6.158497e-08, |df|=7.335725e-06\n",
      "k =  1741, f(x) = 6.152801e-08, |df|=1.054544e-05\n",
      "k =  1742, f(x) = 6.147448e-08, |df|=7.826197e-06\n",
      "k =  1743, f(x) = 6.142617e-08, |df|=1.205490e-05\n",
      "k =  1744, f(x) = 6.136531e-08, |df|=8.495406e-06\n",
      "k =  1745, f(x) = 6.132030e-08, |df|=6.973926e-06\n",
      "k =  1746, f(x) = 6.125797e-08, |df|=9.391464e-06\n",
      "k =  1747, f(x) = 6.120955e-08, |df|=7.330937e-06\n",
      "k =  1748, f(x) = 6.115323e-08, |df|=1.056898e-05\n",
      "k =  1749, f(x) = 6.109977e-08, |df|=7.826471e-06\n",
      "k =  1750, f(x) = 6.105219e-08, |df|=1.208948e-05\n",
      "k =  1751, f(x) = 6.099132e-08, |df|=8.502065e-06\n",
      "k =  1752, f(x) = 6.094647e-08, |df|=6.965408e-06\n",
      "k =  1753, f(x) = 6.088473e-08, |df|=9.405960e-06\n",
      "k =  1754, f(x) = 6.083642e-08, |df|=7.326350e-06\n",
      "k =  1755, f(x) = 6.078075e-08, |df|=1.059287e-05\n",
      "k =  1756, f(x) = 6.072735e-08, |df|=7.826981e-06\n",
      "k =  1757, f(x) = 6.068049e-08, |df|=1.212444e-05\n",
      "k =  1758, f(x) = 6.061962e-08, |df|=8.509000e-06\n",
      "k =  1759, f(x) = 6.057492e-08, |df|=6.957057e-06\n",
      "k =  1760, f(x) = 6.051376e-08, |df|=9.420769e-06\n",
      "k =  1761, f(x) = 6.046557e-08, |df|=7.321964e-06\n",
      "k =  1762, f(x) = 6.041053e-08, |df|=1.061711e-05\n",
      "k =  1763, f(x) = 6.035721e-08, |df|=7.827729e-06\n",
      "k =  1764, f(x) = 6.031107e-08, |df|=1.215980e-05\n",
      "k =  1765, f(x) = 6.025019e-08, |df|=8.516210e-06\n",
      "k =  1766, f(x) = 6.020564e-08, |df|=6.948875e-06\n",
      "k =  1767, f(x) = 6.014506e-08, |df|=9.435893e-06\n",
      "k =  1768, f(x) = 6.009698e-08, |df|=7.317779e-06\n",
      "k =  1769, f(x) = 6.004258e-08, |df|=1.064171e-05\n",
      "k =  1770, f(x) = 5.998932e-08, |df|=7.828716e-06\n",
      "k =  1771, f(x) = 5.994391e-08, |df|=1.219555e-05\n",
      "k =  1772, f(x) = 5.988302e-08, |df|=8.523698e-06\n",
      "k =  1773, f(x) = 5.983861e-08, |df|=6.940863e-06\n",
      "k =  1774, f(x) = 5.977861e-08, |df|=9.451333e-06\n",
      "k =  1775, f(x) = 5.973065e-08, |df|=7.313797e-06\n",
      "k =  1776, f(x) = 5.967688e-08, |df|=1.066666e-05\n",
      "k =  1777, f(x) = 5.962368e-08, |df|=7.829941e-06\n",
      "k =  1778, f(x) = 5.957899e-08, |df|=1.223170e-05\n",
      "k =  1779, f(x) = 5.951808e-08, |df|=8.531462e-06\n",
      "k =  1780, f(x) = 5.947383e-08, |df|=6.933021e-06\n",
      "k =  1781, f(x) = 5.941440e-08, |df|=9.467089e-06\n",
      "k =  1782, f(x) = 5.936655e-08, |df|=7.310018e-06\n",
      "k =  1783, f(x) = 5.931342e-08, |df|=1.069196e-05\n",
      "k =  1784, f(x) = 5.926027e-08, |df|=7.831407e-06\n",
      "k =  1785, f(x) = 5.921631e-08, |df|=1.226824e-05\n",
      "k =  1786, f(x) = 5.915538e-08, |df|=8.539506e-06\n",
      "k =  1787, f(x) = 5.911126e-08, |df|=6.925350e-06\n",
      "k =  1788, f(x) = 5.905241e-08, |df|=9.483161e-06\n",
      "k =  1789, f(x) = 5.900467e-08, |df|=7.306443e-06\n",
      "k =  1790, f(x) = 5.895217e-08, |df|=1.071762e-05\n",
      "k =  1791, f(x) = 5.889908e-08, |df|=7.833113e-06\n",
      "k =  1792, f(x) = 5.885584e-08, |df|=1.230517e-05\n",
      "k =  1793, f(x) = 5.879489e-08, |df|=8.547828e-06\n",
      "k =  1794, f(x) = 5.875092e-08, |df|=6.917850e-06\n",
      "k =  1795, f(x) = 5.869264e-08, |df|=9.499551e-06\n",
      "k =  1796, f(x) = 5.864500e-08, |df|=7.303073e-06\n",
      "k =  1797, f(x) = 5.859314e-08, |df|=1.074364e-05\n",
      "k =  1798, f(x) = 5.854010e-08, |df|=7.835061e-06\n",
      "k =  1799, f(x) = 5.849316e-08, |df|=9.080271e-06\n",
      "k =  1800, f(x) = 5.844730e-08, |df|=7.123783e-06\n",
      "k =  1801, f(x) = 5.839288e-08, |df|=1.020165e-05\n",
      "k =  1802, f(x) = 5.834240e-08, |df|=7.593182e-06\n",
      "k =  1803, f(x) = 5.829602e-08, |df|=1.165200e-05\n",
      "k =  1804, f(x) = 5.823872e-08, |df|=8.234293e-06\n",
      "k =  1805, f(x) = 5.819616e-08, |df|=6.777518e-06\n",
      "k =  1806, f(x) = 5.813676e-08, |df|=9.093628e-06\n",
      "k =  1807, f(x) = 5.809102e-08, |df|=7.118882e-06\n",
      "k =  1808, f(x) = 5.803721e-08, |df|=1.022403e-05\n",
      "k =  1809, f(x) = 5.798679e-08, |df|=7.593144e-06\n",
      "k =  1810, f(x) = 5.794110e-08, |df|=1.168504e-05\n",
      "k =  1811, f(x) = 5.788380e-08, |df|=8.240400e-06\n",
      "k =  1812, f(x) = 5.784138e-08, |df|=6.769038e-06\n",
      "k =  1813, f(x) = 5.778254e-08, |df|=9.107288e-06\n",
      "k =  1814, f(x) = 5.773691e-08, |df|=7.114173e-06\n",
      "k =  1815, f(x) = 5.768370e-08, |df|=1.024676e-05\n",
      "k =  1816, f(x) = 5.763336e-08, |df|=7.593335e-06\n",
      "k =  1817, f(x) = 5.758834e-08, |df|=1.171846e-05\n",
      "k =  1818, f(x) = 5.753105e-08, |df|=8.246774e-06\n",
      "k =  1819, f(x) = 5.748877e-08, |df|=6.760720e-06\n",
      "k =  1820, f(x) = 5.743048e-08, |df|=9.121252e-06\n",
      "k =  1821, f(x) = 5.738497e-08, |df|=7.109659e-06\n",
      "k =  1822, f(x) = 5.733236e-08, |df|=1.026982e-05\n",
      "k =  1823, f(x) = 5.728208e-08, |df|=7.593754e-06\n",
      "k =  1824, f(x) = 5.723774e-08, |df|=1.175226e-05\n",
      "k =  1825, f(x) = 5.718045e-08, |df|=8.253414e-06\n",
      "k =  1826, f(x) = 5.713832e-08, |df|=6.752565e-06\n",
      "k =  1827, f(x) = 5.708057e-08, |df|=9.135520e-06\n",
      "k =  1828, f(x) = 5.703517e-08, |df|=7.105339e-06\n",
      "k =  1829, f(x) = 5.698316e-08, |df|=1.029323e-05\n",
      "k =  1830, f(x) = 5.693294e-08, |df|=7.594404e-06\n",
      "k =  1831, f(x) = 5.688929e-08, |df|=1.178644e-05\n",
      "k =  1832, f(x) = 5.683199e-08, |df|=8.260321e-06\n",
      "k =  1833, f(x) = 5.679000e-08, |df|=6.744573e-06\n",
      "k =  1834, f(x) = 5.673279e-08, |df|=9.150094e-06\n",
      "k =  1835, f(x) = 5.668750e-08, |df|=7.101214e-06\n",
      "k =  1836, f(x) = 5.663610e-08, |df|=1.031698e-05\n",
      "k =  1837, f(x) = 5.658594e-08, |df|=7.595285e-06\n",
      "k =  1838, f(x) = 5.654297e-08, |df|=1.182100e-05\n",
      "k =  1839, f(x) = 5.648565e-08, |df|=8.267497e-06\n",
      "k =  1840, f(x) = 5.644381e-08, |df|=6.736745e-06\n",
      "k =  1841, f(x) = 5.638714e-08, |df|=9.164973e-06\n",
      "k =  1842, f(x) = 5.634196e-08, |df|=7.097286e-06\n",
      "k =  1843, f(x) = 5.629115e-08, |df|=1.034108e-05\n",
      "k =  1844, f(x) = 5.624106e-08, |df|=7.596398e-06\n",
      "k =  1845, f(x) = 5.619876e-08, |df|=1.185595e-05\n",
      "k =  1846, f(x) = 5.614143e-08, |df|=8.274942e-06\n",
      "k =  1847, f(x) = 5.609973e-08, |df|=6.729082e-06\n",
      "k =  1848, f(x) = 5.604361e-08, |df|=9.180159e-06\n",
      "k =  1849, f(x) = 5.599853e-08, |df|=7.093554e-06\n",
      "k =  1850, f(x) = 5.594832e-08, |df|=1.036551e-05\n",
      "k =  1851, f(x) = 5.589828e-08, |df|=7.597743e-06\n",
      "k =  1852, f(x) = 5.585666e-08, |df|=1.189127e-05\n",
      "k =  1853, f(x) = 5.579932e-08, |df|=8.282657e-06\n",
      "k =  1854, f(x) = 5.575775e-08, |df|=6.721584e-06\n",
      "k =  1855, f(x) = 5.570217e-08, |df|=9.195652e-06\n",
      "k =  1856, f(x) = 5.565719e-08, |df|=7.090021e-06\n",
      "k =  1857, f(x) = 5.560758e-08, |df|=1.039030e-05\n",
      "k =  1858, f(x) = 5.555759e-08, |df|=7.599322e-06\n",
      "k =  1859, f(x) = 5.551666e-08, |df|=1.192698e-05\n",
      "k =  1860, f(x) = 5.545929e-08, |df|=8.290643e-06\n",
      "k =  1861, f(x) = 5.541785e-08, |df|=6.714253e-06\n",
      "k =  1862, f(x) = 5.536281e-08, |df|=9.211452e-06\n",
      "k =  1863, f(x) = 5.531794e-08, |df|=7.086686e-06\n",
      "k =  1864, f(x) = 5.526892e-08, |df|=1.041542e-05\n",
      "k =  1865, f(x) = 5.521898e-08, |df|=7.601135e-06\n",
      "k =  1866, f(x) = 5.517467e-08, |df|=8.805722e-06\n",
      "k =  1867, f(x) = 5.513147e-08, |df|=6.913285e-06\n",
      "k =  1868, f(x) = 5.508006e-08, |df|=9.890842e-06\n",
      "k =  1869, f(x) = 5.503251e-08, |df|=7.367165e-06\n",
      "k =  1870, f(x) = 5.498864e-08, |df|=1.129462e-05\n",
      "k =  1871, f(x) = 5.493470e-08, |df|=7.987235e-06\n",
      "k =  1872, f(x) = 5.489459e-08, |df|=6.578465e-06\n",
      "k =  1873, f(x) = 5.483850e-08, |df|=8.818584e-06\n",
      "k =  1874, f(x) = 5.479541e-08, |df|=6.908468e-06\n",
      "k =  1875, f(x) = 5.474457e-08, |df|=9.912451e-06\n",
      "k =  1876, f(x) = 5.469709e-08, |df|=7.367055e-06\n",
      "k =  1877, f(x) = 5.465386e-08, |df|=1.132655e-05\n",
      "k =  1878, f(x) = 5.459993e-08, |df|=7.993076e-06\n",
      "k =  1879, f(x) = 5.455995e-08, |df|=6.570186e-06\n",
      "k =  1880, f(x) = 5.450439e-08, |df|=8.831741e-06\n",
      "k =  1881, f(x) = 5.446140e-08, |df|=6.903839e-06\n",
      "k =  1882, f(x) = 5.441113e-08, |df|=9.934390e-06\n",
      "k =  1883, f(x) = 5.436371e-08, |df|=7.367167e-06\n",
      "k =  1884, f(x) = 5.432113e-08, |df|=1.135886e-05\n",
      "k =  1885, f(x) = 5.426720e-08, |df|=7.999175e-06\n",
      "k =  1886, f(x) = 5.422736e-08, |df|=6.562064e-06\n",
      "k =  1887, f(x) = 5.417231e-08, |df|=8.845192e-06\n",
      "k =  1888, f(x) = 5.412944e-08, |df|=6.899397e-06\n",
      "k =  1889, f(x) = 5.407973e-08, |df|=9.956660e-06\n",
      "k =  1890, f(x) = 5.403238e-08, |df|=7.367501e-06\n",
      "k =  1891, f(x) = 5.399043e-08, |df|=1.139153e-05\n",
      "k =  1892, f(x) = 5.393650e-08, |df|=8.005532e-06\n",
      "k =  1893, f(x) = 5.389680e-08, |df|=6.554099e-06\n",
      "k =  1894, f(x) = 5.384226e-08, |df|=8.858938e-06\n",
      "k =  1895, f(x) = 5.379949e-08, |df|=6.895143e-06\n",
      "k =  1896, f(x) = 5.375035e-08, |df|=9.979262e-06\n",
      "k =  1897, f(x) = 5.370306e-08, |df|=7.368058e-06\n",
      "k =  1898, f(x) = 5.366176e-08, |df|=1.142457e-05\n",
      "k =  1899, f(x) = 5.360782e-08, |df|=8.012149e-06\n",
      "k =  1900, f(x) = 5.356825e-08, |df|=6.546293e-06\n",
      "k =  1901, f(x) = 5.351423e-08, |df|=8.872981e-06\n",
      "k =  1902, f(x) = 5.347156e-08, |df|=6.891079e-06\n",
      "k =  1903, f(x) = 5.342299e-08, |df|=1.000220e-05\n",
      "k =  1904, f(x) = 5.337576e-08, |df|=7.368839e-06\n",
      "k =  1905, f(x) = 5.333509e-08, |df|=1.145798e-05\n",
      "k =  1906, f(x) = 5.328114e-08, |df|=8.019026e-06\n",
      "k =  1907, f(x) = 5.324171e-08, |df|=6.538646e-06\n",
      "k =  1908, f(x) = 5.318820e-08, |df|=8.887319e-06\n",
      "k =  1909, f(x) = 5.314564e-08, |df|=6.887205e-06\n",
      "k =  1910, f(x) = 5.309763e-08, |df|=1.002546e-05\n",
      "k =  1911, f(x) = 5.305045e-08, |df|=7.369845e-06\n",
      "k =  1912, f(x) = 5.301043e-08, |df|=1.149176e-05\n",
      "k =  1913, f(x) = 5.295646e-08, |df|=8.026163e-06\n",
      "k =  1914, f(x) = 5.291716e-08, |df|=6.531158e-06\n",
      "k =  1915, f(x) = 5.286417e-08, |df|=8.901955e-06\n",
      "k =  1916, f(x) = 5.282170e-08, |df|=6.883522e-06\n",
      "k =  1917, f(x) = 5.277425e-08, |df|=1.004906e-05\n",
      "k =  1918, f(x) = 5.272713e-08, |df|=7.371076e-06\n",
      "k =  1919, f(x) = 5.268774e-08, |df|=1.152592e-05\n",
      "k =  1920, f(x) = 5.263377e-08, |df|=8.033562e-06\n",
      "k =  1921, f(x) = 5.259459e-08, |df|=6.523831e-06\n",
      "k =  1922, f(x) = 5.254211e-08, |df|=8.916889e-06\n",
      "k =  1923, f(x) = 5.249974e-08, |df|=6.880030e-06\n",
      "k =  1924, f(x) = 5.245285e-08, |df|=1.007300e-05\n",
      "k =  1925, f(x) = 5.240578e-08, |df|=7.372533e-06\n",
      "k =  1926, f(x) = 5.236704e-08, |df|=1.156044e-05\n",
      "k =  1927, f(x) = 5.231304e-08, |df|=8.041223e-06\n",
      "k =  1928, f(x) = 5.227399e-08, |df|=6.516665e-06\n",
      "k =  1929, f(x) = 5.222202e-08, |df|=8.932120e-06\n",
      "k =  1930, f(x) = 5.217974e-08, |df|=6.876731e-06\n",
      "k =  1931, f(x) = 5.213342e-08, |df|=1.009727e-05\n",
      "k =  1932, f(x) = 5.208639e-08, |df|=7.374217e-06\n",
      "k =  1933, f(x) = 5.204829e-08, |df|=1.159534e-05\n",
      "k =  1934, f(x) = 5.199427e-08, |df|=8.049147e-06\n",
      "k =  1935, f(x) = 5.195535e-08, |df|=6.509661e-06\n",
      "k =  1936, f(x) = 5.190388e-08, |df|=8.947651e-06\n",
      "k =  1937, f(x) = 5.186170e-08, |df|=6.873626e-06\n",
      "k =  1938, f(x) = 5.181594e-08, |df|=1.012187e-05\n",
      "k =  1939, f(x) = 5.176895e-08, |df|=7.376129e-06\n",
      "k =  1940, f(x) = 5.172748e-08, |df|=8.551888e-06\n",
      "k =  1941, f(x) = 5.168688e-08, |df|=6.704294e-06\n",
      "k =  1942, f(x) = 5.163884e-08, |df|=9.610393e-06\n",
      "k =  1943, f(x) = 5.159413e-08, |df|=7.147722e-06\n",
      "k =  1944, f(x) = 5.155324e-08, |df|=1.097909e-05\n",
      "k =  1945, f(x) = 5.150247e-08, |df|=7.753202e-06\n",
      "k =  1946, f(x) = 5.146479e-08, |df|=6.377190e-06\n",
      "k =  1947, f(x) = 5.141233e-08, |df|=8.564559e-06\n",
      "k =  1948, f(x) = 5.137183e-08, |df|=6.699742e-06\n",
      "k =  1949, f(x) = 5.132433e-08, |df|=9.631573e-06\n",
      "k =  1950, f(x) = 5.127968e-08, |df|=7.147760e-06\n",
      "k =  1951, f(x) = 5.123939e-08, |df|=1.101032e-05\n",
      "k =  1952, f(x) = 5.118862e-08, |df|=7.759037e-06\n",
      "k =  1953, f(x) = 5.115108e-08, |df|=6.369260e-06\n",
      "k =  1954, f(x) = 5.109910e-08, |df|=8.577516e-06\n",
      "k =  1955, f(x) = 5.105871e-08, |df|=6.695372e-06\n",
      "k =  1956, f(x) = 5.101174e-08, |df|=9.653075e-06\n",
      "k =  1957, f(x) = 5.096715e-08, |df|=7.148013e-06\n",
      "k =  1958, f(x) = 5.092747e-08, |df|=1.104190e-05\n",
      "k =  1959, f(x) = 5.087670e-08, |df|=7.765122e-06\n",
      "k =  1960, f(x) = 5.083928e-08, |df|=6.361482e-06\n",
      "k =  1961, f(x) = 5.078779e-08, |df|=8.590759e-06\n",
      "k =  1962, f(x) = 5.074750e-08, |df|=6.691185e-06\n",
      "k =  1963, f(x) = 5.070106e-08, |df|=9.674898e-06\n",
      "k =  1964, f(x) = 5.065653e-08, |df|=7.148482e-06\n",
      "k =  1965, f(x) = 5.061745e-08, |df|=1.107384e-05\n",
      "k =  1966, f(x) = 5.056667e-08, |df|=7.771459e-06\n",
      "k =  1967, f(x) = 5.052939e-08, |df|=6.353858e-06\n",
      "k =  1968, f(x) = 5.047838e-08, |df|=8.604288e-06\n",
      "k =  1969, f(x) = 5.043818e-08, |df|=6.687182e-06\n",
      "k =  1970, f(x) = 5.039228e-08, |df|=9.697043e-06\n",
      "k =  1971, f(x) = 5.034780e-08, |df|=7.149168e-06\n",
      "k =  1972, f(x) = 5.030933e-08, |df|=1.110614e-05\n",
      "k =  1973, f(x) = 5.025854e-08, |df|=7.778048e-06\n",
      "k =  1974, f(x) = 5.022138e-08, |df|=6.346388e-06\n",
      "k =  1975, f(x) = 5.017086e-08, |df|=8.618106e-06\n",
      "k =  1976, f(x) = 5.013076e-08, |df|=6.683362e-06\n",
      "k =  1977, f(x) = 5.008539e-08, |df|=9.719511e-06\n",
      "k =  1978, f(x) = 5.004096e-08, |df|=7.150072e-06\n",
      "k =  1979, f(x) = 5.000309e-08, |df|=1.113880e-05\n",
      "k =  1980, f(x) = 4.995229e-08, |df|=7.784890e-06\n",
      "k =  1981, f(x) = 4.991526e-08, |df|=6.339072e-06\n",
      "k =  1982, f(x) = 4.986521e-08, |df|=8.632211e-06\n",
      "k =  1983, f(x) = 4.982521e-08, |df|=6.679728e-06\n",
      "k =  1984, f(x) = 4.978037e-08, |df|=9.742302e-06\n",
      "k =  1985, f(x) = 4.973599e-08, |df|=7.151194e-06\n",
      "k =  1986, f(x) = 4.969872e-08, |df|=1.117181e-05\n",
      "k =  1987, f(x) = 4.964792e-08, |df|=7.791985e-06\n",
      "k =  1988, f(x) = 4.961100e-08, |df|=6.331912e-06\n",
      "k =  1989, f(x) = 4.956143e-08, |df|=8.646605e-06\n",
      "k =  1990, f(x) = 4.952152e-08, |df|=6.676279e-06\n",
      "k =  1991, f(x) = 4.947721e-08, |df|=9.765417e-06\n",
      "k =  1992, f(x) = 4.943288e-08, |df|=7.152536e-06\n",
      "k =  1993, f(x) = 4.939622e-08, |df|=1.120519e-05\n",
      "k =  1994, f(x) = 4.934539e-08, |df|=7.799334e-06\n",
      "k =  1995, f(x) = 4.930860e-08, |df|=6.324908e-06\n",
      "k =  1996, f(x) = 4.925951e-08, |df|=8.661288e-06\n",
      "k =  1997, f(x) = 4.921969e-08, |df|=6.673017e-06\n",
      "k =  1998, f(x) = 4.917591e-08, |df|=9.788856e-06\n",
      "k =  1999, f(x) = 4.913163e-08, |df|=7.154098e-06\n",
      "k =  2000, f(x) = 4.909556e-08, |df|=1.123893e-05\n",
      "k =  2001, f(x) = 4.904472e-08, |df|=7.806939e-06\n",
      "k =  2002, f(x) = 4.900804e-08, |df|=6.318060e-06\n",
      "k =  2003, f(x) = 4.895944e-08, |df|=8.676261e-06\n",
      "k =  2004, f(x) = 4.891970e-08, |df|=6.669942e-06\n",
      "k =  2005, f(x) = 4.887645e-08, |df|=9.812620e-06\n",
      "k =  2006, f(x) = 4.883221e-08, |df|=7.155880e-06\n",
      "k =  2007, f(x) = 4.879306e-08, |df|=8.293285e-06\n",
      "k =  2008, f(x) = 4.875481e-08, |df|=6.506172e-06\n",
      "k =  2009, f(x) = 4.870942e-08, |df|=9.317568e-06\n",
      "k =  2010, f(x) = 4.866731e-08, |df|=6.934941e-06\n",
      "k =  2011, f(x) = 4.862863e-08, |df|=1.064232e-05\n",
      "k =  2012, f(x) = 4.858084e-08, |df|=7.520552e-06\n",
      "k =  2013, f(x) = 4.854534e-08, |df|=6.189879e-06\n",
      "k =  2014, f(x) = 4.849580e-08, |df|=8.305488e-06\n",
      "k =  2015, f(x) = 4.845764e-08, |df|=6.501698e-06\n",
      "k =  2016, f(x) = 4.841276e-08, |df|=9.338015e-06\n",
      "k =  2017, f(x) = 4.837071e-08, |df|=6.934909e-06\n",
      "k =  2018, f(x) = 4.833260e-08, |df|=1.067250e-05\n",
      "k =  2019, f(x) = 4.828481e-08, |df|=7.526133e-06\n",
      "k =  2020, f(x) = 4.824943e-08, |df|=6.182136e-06\n",
      "k =  2021, f(x) = 4.820035e-08, |df|=8.317968e-06\n",
      "k =  2022, f(x) = 4.816229e-08, |df|=6.497400e-06\n",
      "k =  2023, f(x) = 4.811792e-08, |df|=9.358774e-06\n",
      "k =  2024, f(x) = 4.807592e-08, |df|=6.935086e-06\n",
      "k =  2025, f(x) = 4.803838e-08, |df|=1.070303e-05\n",
      "k =  2026, f(x) = 4.799059e-08, |df|=7.531958e-06\n",
      "k =  2027, f(x) = 4.795533e-08, |df|=6.174541e-06\n",
      "k =  2028, f(x) = 4.790671e-08, |df|=8.330725e-06\n",
      "k =  2029, f(x) = 4.786875e-08, |df|=6.493279e-06\n",
      "k =  2030, f(x) = 4.782487e-08, |df|=9.379845e-06\n",
      "k =  2031, f(x) = 4.778293e-08, |df|=6.935472e-06\n",
      "k =  2032, f(x) = 4.774596e-08, |df|=1.073391e-05\n",
      "k =  2033, f(x) = 4.769817e-08, |df|=7.538026e-06\n",
      "k =  2034, f(x) = 4.766303e-08, |df|=6.167095e-06\n",
      "k =  2035, f(x) = 4.761486e-08, |df|=8.343761e-06\n",
      "k =  2036, f(x) = 4.757699e-08, |df|=6.489336e-06\n",
      "k =  2037, f(x) = 4.753362e-08, |df|=9.401228e-06\n",
      "k =  2038, f(x) = 4.749173e-08, |df|=6.936069e-06\n",
      "k =  2039, f(x) = 4.745533e-08, |df|=1.076513e-05\n",
      "k =  2040, f(x) = 4.740753e-08, |df|=7.544338e-06\n",
      "k =  2041, f(x) = 4.737251e-08, |df|=6.159798e-06\n",
      "k =  2042, f(x) = 4.732479e-08, |df|=8.357075e-06\n",
      "k =  2043, f(x) = 4.728702e-08, |df|=6.485572e-06\n",
      "k =  2044, f(x) = 4.724414e-08, |df|=9.422925e-06\n",
      "k =  2045, f(x) = 4.720231e-08, |df|=6.936876e-06\n",
      "k =  2046, f(x) = 4.716647e-08, |df|=1.079670e-05\n",
      "k =  2047, f(x) = 4.711866e-08, |df|=7.550895e-06\n",
      "k =  2048, f(x) = 4.708376e-08, |df|=6.152651e-06\n",
      "k =  2049, f(x) = 4.703650e-08, |df|=8.370668e-06\n",
      "k =  2050, f(x) = 4.699881e-08, |df|=6.481987e-06\n",
      "k =  2051, f(x) = 4.695644e-08, |df|=9.444934e-06\n",
      "k =  2052, f(x) = 4.691465e-08, |df|=6.937895e-06\n",
      "k =  2053, f(x) = 4.687938e-08, |df|=1.082862e-05\n",
      "k =  2054, f(x) = 4.683156e-08, |df|=7.557698e-06\n",
      "k =  2055, f(x) = 4.679677e-08, |df|=6.145654e-06\n",
      "k =  2056, f(x) = 4.674997e-08, |df|=8.384541e-06\n",
      "k =  2057, f(x) = 4.671237e-08, |df|=6.478581e-06\n",
      "k =  2058, f(x) = 4.667049e-08, |df|=9.467257e-06\n",
      "k =  2059, f(x) = 4.662875e-08, |df|=6.939127e-06\n",
      "k =  2060, f(x) = 4.659405e-08, |df|=1.086089e-05\n",
      "k =  2061, f(x) = 4.654621e-08, |df|=7.564748e-06\n",
      "k =  2062, f(x) = 4.651154e-08, |df|=6.138809e-06\n",
      "k =  2063, f(x) = 4.646518e-08, |df|=8.398695e-06\n",
      "k =  2064, f(x) = 4.642767e-08, |df|=6.475357e-06\n",
      "k =  2065, f(x) = 4.638629e-08, |df|=9.489895e-06\n",
      "k =  2066, f(x) = 4.634459e-08, |df|=6.940572e-06\n",
      "k =  2067, f(x) = 4.631046e-08, |df|=1.089351e-05\n",
      "k =  2068, f(x) = 4.626260e-08, |df|=7.572044e-06\n",
      "k =  2069, f(x) = 4.622804e-08, |df|=6.132115e-06\n",
      "k =  2070, f(x) = 4.618214e-08, |df|=8.413129e-06\n",
      "k =  2071, f(x) = 4.614471e-08, |df|=6.472313e-06\n",
      "k =  2072, f(x) = 4.610383e-08, |df|=9.512848e-06\n",
      "k =  2073, f(x) = 4.606217e-08, |df|=6.942230e-06\n",
      "k =  2074, f(x) = 4.602522e-08, |df|=8.042530e-06\n",
      "k =  2075, f(x) = 4.598918e-08, |df|=6.313923e-06\n",
      "k =  2076, f(x) = 4.594630e-08, |df|=9.033693e-06\n",
      "k =  2077, f(x) = 4.590664e-08, |df|=6.728516e-06\n",
      "k =  2078, f(x) = 4.587006e-08, |df|=1.031591e-05\n",
      "k =  2079, f(x) = 4.582506e-08, |df|=7.294908e-06\n",
      "k =  2080, f(x) = 4.579160e-08, |df|=6.008084e-06\n",
      "k =  2081, f(x) = 4.574483e-08, |df|=8.054281e-06\n",
      "k =  2082, f(x) = 4.570888e-08, |df|=6.309526e-06\n",
      "k =  2083, f(x) = 4.566648e-08, |df|=9.053433e-06\n",
      "k =  2084, f(x) = 4.562688e-08, |df|=6.728419e-06\n",
      "k =  2085, f(x) = 4.559083e-08, |df|=1.034508e-05\n",
      "k =  2086, f(x) = 4.554584e-08, |df|=7.300246e-06\n",
      "k =  2087, f(x) = 4.551249e-08, |df|=6.000525e-06\n",
      "k =  2088, f(x) = 4.546615e-08, |df|=8.066301e-06\n",
      "k =  2089, f(x) = 4.543030e-08, |df|=6.305300e-06\n",
      "k =  2090, f(x) = 4.538837e-08, |df|=9.073474e-06\n",
      "k =  2091, f(x) = 4.534882e-08, |df|=6.728524e-06\n",
      "k =  2092, f(x) = 4.531331e-08, |df|=1.037459e-05\n",
      "k =  2093, f(x) = 4.526832e-08, |df|=7.305820e-06\n",
      "k =  2094, f(x) = 4.523509e-08, |df|=5.993109e-06\n",
      "k =  2095, f(x) = 4.518918e-08, |df|=8.078590e-06\n",
      "k =  2096, f(x) = 4.515341e-08, |df|=6.301246e-06\n",
      "k =  2097, f(x) = 4.511196e-08, |df|=9.093818e-06\n",
      "k =  2098, f(x) = 4.507246e-08, |df|=6.728832e-06\n",
      "k =  2099, f(x) = 4.503748e-08, |df|=1.040443e-05\n",
      "k =  2100, f(x) = 4.499249e-08, |df|=7.311629e-06\n",
      "k =  2101, f(x) = 4.495938e-08, |df|=5.985837e-06\n",
      "k =  2102, f(x) = 4.491390e-08, |df|=8.091148e-06\n",
      "k =  2103, f(x) = 4.487822e-08, |df|=6.297363e-06\n",
      "k =  2104, f(x) = 4.483724e-08, |df|=9.114465e-06\n",
      "k =  2105, f(x) = 4.479779e-08, |df|=6.729343e-06\n",
      "k =  2106, f(x) = 4.476334e-08, |df|=1.043461e-05\n",
      "k =  2107, f(x) = 4.471835e-08, |df|=7.317675e-06\n",
      "k =  2108, f(x) = 4.468535e-08, |df|=5.978709e-06\n",
      "k =  2109, f(x) = 4.464029e-08, |df|=8.103977e-06\n",
      "k =  2110, f(x) = 4.460471e-08, |df|=6.293654e-06\n",
      "k =  2111, f(x) = 4.456419e-08, |df|=9.135416e-06\n",
      "k =  2112, f(x) = 4.452479e-08, |df|=6.730059e-06\n",
      "k =  2113, f(x) = 4.449088e-08, |df|=1.046513e-05\n",
      "k =  2114, f(x) = 4.444588e-08, |df|=7.323959e-06\n",
      "k =  2115, f(x) = 4.441299e-08, |df|=5.971727e-06\n",
      "k =  2116, f(x) = 4.436836e-08, |df|=8.117077e-06\n",
      "k =  2117, f(x) = 4.433286e-08, |df|=6.290118e-06\n",
      "k =  2118, f(x) = 4.429282e-08, |df|=9.156670e-06\n",
      "k =  2119, f(x) = 4.425347e-08, |df|=6.730980e-06\n",
      "k =  2120, f(x) = 4.422009e-08, |df|=1.049599e-05\n",
      "k =  2121, f(x) = 4.417508e-08, |df|=7.330481e-06\n",
      "k =  2122, f(x) = 4.414229e-08, |df|=5.964890e-06\n",
      "k =  2123, f(x) = 4.409810e-08, |df|=8.130447e-06\n",
      "k =  2124, f(x) = 4.406267e-08, |df|=6.286756e-06\n",
      "k =  2125, f(x) = 4.402310e-08, |df|=9.178228e-06\n",
      "k =  2126, f(x) = 4.398379e-08, |df|=6.732108e-06\n",
      "k =  2127, f(x) = 4.395095e-08, |df|=1.052719e-05\n",
      "k =  2128, f(x) = 4.390593e-08, |df|=7.337242e-06\n",
      "k =  2129, f(x) = 4.387325e-08, |df|=5.958200e-06\n",
      "k =  2130, f(x) = 4.382948e-08, |df|=8.144090e-06\n",
      "k =  2131, f(x) = 4.379414e-08, |df|=6.283570e-06\n",
      "k =  2132, f(x) = 4.375503e-08, |df|=9.200092e-06\n",
      "k =  2133, f(x) = 4.371577e-08, |df|=6.733441e-06\n",
      "k =  2134, f(x) = 4.368346e-08, |df|=1.055872e-05\n",
      "k =  2135, f(x) = 4.363842e-08, |df|=7.344243e-06\n",
      "k =  2136, f(x) = 4.360585e-08, |df|=5.951658e-06\n",
      "k =  2137, f(x) = 4.356250e-08, |df|=8.158005e-06\n",
      "k =  2138, f(x) = 4.352724e-08, |df|=6.280560e-06\n",
      "k =  2139, f(x) = 4.348860e-08, |df|=9.222260e-06\n",
      "k =  2140, f(x) = 4.344938e-08, |df|=6.734982e-06\n",
      "k =  2141, f(x) = 4.341760e-08, |df|=1.059060e-05\n",
      "k =  2142, f(x) = 4.337254e-08, |df|=7.351483e-06\n",
      "k =  2143, f(x) = 4.334008e-08, |df|=5.945263e-06\n",
      "k =  2144, f(x) = 4.329715e-08, |df|=8.172193e-06\n",
      "k =  2145, f(x) = 4.326197e-08, |df|=6.277726e-06\n",
      "k =  2146, f(x) = 4.322380e-08, |df|=9.244735e-06\n",
      "k =  2147, f(x) = 4.318461e-08, |df|=6.736732e-06\n",
      "k =  2148, f(x) = 4.315002e-08, |df|=7.810699e-06\n",
      "k =  2149, f(x) = 4.311616e-08, |df|=6.123052e-06\n",
      "k =  2150, f(x) = 4.307609e-08, |df|=8.777550e-06\n",
      "k =  2151, f(x) = 4.303880e-08, |df|=6.528098e-06\n",
      "k =  2152, f(x) = 4.300470e-08, |df|=1.002773e-05\n",
      "k =  2153, f(x) = 4.296235e-08, |df|=7.081163e-06\n",
      "k =  2154, f(x) = 4.293092e-08, |df|=5.824263e-06\n",
      "k =  2155, f(x) = 4.288716e-08, |df|=7.822275e-06\n",
      "k =  2156, f(x) = 4.285339e-08, |df|=6.118897e-06\n",
      "k =  2157, f(x) = 4.281377e-08, |df|=8.796899e-06\n",
      "k =  2158, f(x) = 4.277652e-08, |df|=6.528135e-06\n",
      "k =  2159, f(x) = 4.274293e-08, |df|=1.005625e-05\n",
      "k =  2160, f(x) = 4.270058e-08, |df|=7.086495e-06\n",
      "k =  2161, f(x) = 4.266926e-08, |df|=5.817022e-06\n",
      "k =  2162, f(x) = 4.262591e-08, |df|=7.834112e-06\n",
      "k =  2163, f(x) = 4.259222e-08, |df|=6.114909e-06\n",
      "k =  2164, f(x) = 4.255305e-08, |df|=8.816540e-06\n",
      "k =  2165, f(x) = 4.251585e-08, |df|=6.528369e-06\n",
      "k =  2166, f(x) = 4.248276e-08, |df|=1.008510e-05\n",
      "k =  2167, f(x) = 4.244041e-08, |df|=7.092056e-06\n",
      "k =  2168, f(x) = 4.240920e-08, |df|=5.809920e-06\n",
      "k =  2169, f(x) = 4.236626e-08, |df|=7.846210e-06\n",
      "k =  2170, f(x) = 4.233265e-08, |df|=6.111087e-06\n",
      "k =  2171, f(x) = 4.229392e-08, |df|=8.836476e-06\n",
      "k =  2172, f(x) = 4.225677e-08, |df|=6.528801e-06\n",
      "k =  2173, f(x) = 4.222418e-08, |df|=1.011427e-05\n",
      "k =  2174, f(x) = 4.218183e-08, |df|=7.097847e-06\n",
      "k =  2175, f(x) = 4.215073e-08, |df|=5.802959e-06\n",
      "k =  2176, f(x) = 4.210819e-08, |df|=7.858571e-06\n",
      "k =  2177, f(x) = 4.207466e-08, |df|=6.107433e-06\n",
      "k =  2178, f(x) = 4.203638e-08, |df|=8.856706e-06\n",
      "k =  2179, f(x) = 4.199927e-08, |df|=6.529430e-06\n",
      "k =  2180, f(x) = 4.196719e-08, |df|=1.014378e-05\n",
      "k =  2181, f(x) = 4.192483e-08, |df|=7.103868e-06\n",
      "k =  2182, f(x) = 4.189383e-08, |df|=5.796138e-06\n",
      "k =  2183, f(x) = 4.185169e-08, |df|=7.871194e-06\n",
      "k =  2184, f(x) = 4.181824e-08, |df|=6.103947e-06\n",
      "k =  2185, f(x) = 4.178041e-08, |df|=8.877230e-06\n",
      "k =  2186, f(x) = 4.174335e-08, |df|=6.530258e-06\n",
      "k =  2187, f(x) = 4.171176e-08, |df|=1.017361e-05\n",
      "k =  2188, f(x) = 4.166940e-08, |df|=7.110120e-06\n",
      "k =  2189, f(x) = 4.163850e-08, |df|=5.789458e-06\n",
      "k =  2190, f(x) = 4.159676e-08, |df|=7.884080e-06\n",
      "k =  2191, f(x) = 4.156339e-08, |df|=6.100630e-06\n",
      "k =  2192, f(x) = 4.152600e-08, |df|=8.898050e-06\n",
      "k =  2193, f(x) = 4.148898e-08, |df|=6.531286e-06\n",
      "k =  2194, f(x) = 4.145790e-08, |df|=1.020377e-05\n",
      "k =  2195, f(x) = 4.141552e-08, |df|=7.116603e-06\n",
      "k =  2196, f(x) = 4.138473e-08, |df|=5.782921e-06\n",
      "k =  2197, f(x) = 4.134339e-08, |df|=7.897230e-06\n",
      "k =  2198, f(x) = 4.131010e-08, |df|=6.097482e-06\n",
      "k =  2199, f(x) = 4.127315e-08, |df|=8.919165e-06\n",
      "k =  2200, f(x) = 4.123617e-08, |df|=6.532514e-06\n",
      "k =  2201, f(x) = 4.120559e-08, |df|=1.023426e-05\n",
      "k =  2202, f(x) = 4.116320e-08, |df|=7.123319e-06\n",
      "k =  2203, f(x) = 4.113251e-08, |df|=5.776526e-06\n",
      "k =  2204, f(x) = 4.109157e-08, |df|=7.910644e-06\n",
      "k =  2205, f(x) = 4.105835e-08, |df|=6.094505e-06\n",
      "k =  2206, f(x) = 4.102184e-08, |df|=8.940576e-06\n",
      "k =  2207, f(x) = 4.098490e-08, |df|=6.533943e-06\n",
      "k =  2208, f(x) = 4.095483e-08, |df|=1.026508e-05\n",
      "k =  2209, f(x) = 4.091242e-08, |df|=7.130267e-06\n",
      "k =  2210, f(x) = 4.088182e-08, |df|=5.770274e-06\n",
      "k =  2211, f(x) = 4.084129e-08, |df|=7.924322e-06\n",
      "k =  2212, f(x) = 4.080814e-08, |df|=6.091699e-06\n",
      "k =  2213, f(x) = 4.077207e-08, |df|=8.962284e-06\n",
      "k =  2214, f(x) = 4.073517e-08, |df|=6.535574e-06\n",
      "k =  2215, f(x) = 4.070251e-08, |df|=7.574508e-06\n",
      "k =  2216, f(x) = 4.067061e-08, |df|=5.942106e-06\n",
      "k =  2217, f(x) = 4.063276e-08, |df|=8.510101e-06\n",
      "k =  2218, f(x) = 4.059763e-08, |df|=6.333762e-06\n",
      "k =  2219, f(x) = 4.056538e-08, |df|=9.720136e-06\n",
      "k =  2220, f(x) = 4.052551e-08, |df|=6.868678e-06\n",
      "k =  2221, f(x) = 4.049589e-08, |df|=5.653192e-06\n",
      "k =  2222, f(x) = 4.045458e-08, |df|=7.585657e-06\n",
      "k =  2223, f(x) = 4.042275e-08, |df|=5.938022e-06\n",
      "k =  2224, f(x) = 4.038532e-08, |df|=8.528780e-06\n",
      "k =  2225, f(x) = 4.035025e-08, |df|=6.333736e-06\n",
      "k =  2226, f(x) = 4.031847e-08, |df|=9.747706e-06\n",
      "k =  2227, f(x) = 4.027860e-08, |df|=6.873779e-06\n",
      "k =  2228, f(x) = 4.024909e-08, |df|=5.646122e-06\n",
      "k =  2229, f(x) = 4.020816e-08, |df|=7.597058e-06\n",
      "k =  2230, f(x) = 4.017641e-08, |df|=5.934100e-06\n",
      "k =  2231, f(x) = 4.013940e-08, |df|=8.547743e-06\n",
      "k =  2232, f(x) = 4.010437e-08, |df|=6.333900e-06\n",
      "k =  2233, f(x) = 4.007307e-08, |df|=9.775591e-06\n",
      "k =  2234, f(x) = 4.003320e-08, |df|=6.879101e-06\n",
      "k =  2235, f(x) = 4.000379e-08, |df|=5.639187e-06\n",
      "k =  2236, f(x) = 3.996324e-08, |df|=7.608713e-06\n",
      "k =  2237, f(x) = 3.993157e-08, |df|=5.930338e-06\n",
      "k =  2238, f(x) = 3.989498e-08, |df|=8.566991e-06\n",
      "k =  2239, f(x) = 3.986000e-08, |df|=6.334255e-06\n",
      "k =  2240, f(x) = 3.982917e-08, |df|=9.803794e-06\n",
      "k =  2241, f(x) = 3.978930e-08, |df|=6.884646e-06\n",
      "k =  2242, f(x) = 3.975999e-08, |df|=5.632388e-06\n",
      "k =  2243, f(x) = 3.971982e-08, |df|=7.620622e-06\n",
      "k =  2244, f(x) = 3.968823e-08, |df|=5.926739e-06\n",
      "k =  2245, f(x) = 3.965206e-08, |df|=8.586525e-06\n",
      "k =  2246, f(x) = 3.961712e-08, |df|=6.334803e-06\n",
      "k =  2247, f(x) = 3.958676e-08, |df|=9.832315e-06\n",
      "k =  2248, f(x) = 3.954689e-08, |df|=6.890414e-06\n",
      "k =  2249, f(x) = 3.951767e-08, |df|=5.625726e-06\n",
      "k =  2250, f(x) = 3.947788e-08, |df|=7.632785e-06\n",
      "k =  2251, f(x) = 3.944637e-08, |df|=5.923304e-06\n",
      "k =  2252, f(x) = 3.941062e-08, |df|=8.606344e-06\n",
      "k =  2253, f(x) = 3.937572e-08, |df|=6.335543e-06\n",
      "k =  2254, f(x) = 3.934583e-08, |df|=9.861154e-06\n",
      "k =  2255, f(x) = 3.930595e-08, |df|=6.896406e-06\n",
      "k =  2256, f(x) = 3.927684e-08, |df|=5.619200e-06\n",
      "k =  2257, f(x) = 3.923742e-08, |df|=7.645204e-06\n",
      "k =  2258, f(x) = 3.920599e-08, |df|=5.920031e-06\n",
      "k =  2259, f(x) = 3.917065e-08, |df|=8.626450e-06\n",
      "k =  2260, f(x) = 3.913579e-08, |df|=6.336476e-06\n",
      "k =  2261, f(x) = 3.910638e-08, |df|=9.890311e-06\n",
      "k =  2262, f(x) = 3.906649e-08, |df|=6.902623e-06\n",
      "k =  2263, f(x) = 3.903747e-08, |df|=5.612812e-06\n",
      "k =  2264, f(x) = 3.899844e-08, |df|=7.657878e-06\n",
      "k =  2265, f(x) = 3.896707e-08, |df|=5.916923e-06\n",
      "k =  2266, f(x) = 3.893215e-08, |df|=8.646842e-06\n",
      "k =  2267, f(x) = 3.889733e-08, |df|=6.337604e-06\n",
      "k =  2268, f(x) = 3.886839e-08, |df|=9.919786e-06\n",
      "k =  2269, f(x) = 3.882849e-08, |df|=6.909064e-06\n",
      "k =  2270, f(x) = 3.879957e-08, |df|=5.606562e-06\n",
      "k =  2271, f(x) = 3.876091e-08, |df|=7.670808e-06\n",
      "k =  2272, f(x) = 3.872962e-08, |df|=5.913981e-06\n",
      "k =  2273, f(x) = 3.869511e-08, |df|=8.667521e-06\n",
      "k =  2274, f(x) = 3.866032e-08, |df|=6.338926e-06\n",
      "k =  2275, f(x) = 3.863186e-08, |df|=9.949582e-06\n",
      "k =  2276, f(x) = 3.859194e-08, |df|=6.915732e-06\n",
      "k =  2277, f(x) = 3.856311e-08, |df|=5.600450e-06\n",
      "k =  2278, f(x) = 3.852483e-08, |df|=7.683995e-06\n",
      "k =  2279, f(x) = 3.849361e-08, |df|=5.911203e-06\n",
      "k =  2280, f(x) = 3.845952e-08, |df|=8.688488e-06\n",
      "k =  2281, f(x) = 3.842477e-08, |df|=6.340444e-06\n",
      "k =  2282, f(x) = 3.839394e-08, |df|=7.345485e-06\n",
      "k =  2283, f(x) = 3.836389e-08, |df|=5.766524e-06\n",
      "k =  2284, f(x) = 3.832812e-08, |df|=8.250826e-06\n",
      "k =  2285, f(x) = 3.829504e-08, |df|=6.145231e-06\n",
      "k =  2286, f(x) = 3.826453e-08, |df|=9.422006e-06\n",
      "k =  2287, f(x) = 3.822700e-08, |df|=6.662592e-06\n",
      "k =  2288, f(x) = 3.819909e-08, |df|=5.487158e-06\n",
      "k =  2289, f(x) = 3.816008e-08, |df|=7.356221e-06\n",
      "k =  2290, f(x) = 3.813010e-08, |df|=5.762511e-06\n",
      "k =  2291, f(x) = 3.809474e-08, |df|=8.268859e-06\n",
      "k =  2292, f(x) = 3.806170e-08, |df|=6.145145e-06\n",
      "k =  2293, f(x) = 3.803164e-08, |df|=9.448653e-06\n",
      "k =  2294, f(x) = 3.799411e-08, |df|=6.667470e-06\n",
      "k =  2295, f(x) = 3.796630e-08, |df|=5.480256e-06\n",
      "k =  2296, f(x) = 3.792765e-08, |df|=7.367202e-06\n",
      "k =  2297, f(x) = 3.789774e-08, |df|=5.758653e-06\n",
      "k =  2298, f(x) = 3.786277e-08, |df|=8.287166e-06\n",
      "k =  2299, f(x) = 3.782978e-08, |df|=6.145243e-06\n",
      "k =  2300, f(x) = 3.780017e-08, |df|=9.475608e-06\n",
      "k =  2301, f(x) = 3.776264e-08, |df|=6.672564e-06\n",
      "k =  2302, f(x) = 3.773492e-08, |df|=5.473485e-06\n",
      "k =  2303, f(x) = 3.769663e-08, |df|=7.378429e-06\n",
      "k =  2304, f(x) = 3.766680e-08, |df|=5.754953e-06\n",
      "k =  2305, f(x) = 3.763223e-08, |df|=8.305751e-06\n",
      "k =  2306, f(x) = 3.759928e-08, |df|=6.145527e-06\n",
      "k =  2307, f(x) = 3.757011e-08, |df|=9.502870e-06\n",
      "k =  2308, f(x) = 3.753258e-08, |df|=6.677872e-06\n",
      "k =  2309, f(x) = 3.750496e-08, |df|=5.466845e-06\n",
      "k =  2310, f(x) = 3.746703e-08, |df|=7.389902e-06\n",
      "k =  2311, f(x) = 3.743727e-08, |df|=5.751409e-06\n",
      "k =  2312, f(x) = 3.740309e-08, |df|=8.324612e-06\n",
      "k =  2313, f(x) = 3.737019e-08, |df|=6.145997e-06\n",
      "k =  2314, f(x) = 3.734146e-08, |df|=9.530440e-06\n",
      "k =  2315, f(x) = 3.730393e-08, |df|=6.683398e-06\n",
      "k =  2316, f(x) = 3.727640e-08, |df|=5.460337e-06\n",
      "k =  2317, f(x) = 3.723883e-08, |df|=7.401622e-06\n",
      "k =  2318, f(x) = 3.720914e-08, |df|=5.748023e-06\n",
      "k =  2319, f(x) = 3.717535e-08, |df|=8.343750e-06\n",
      "k =  2320, f(x) = 3.714249e-08, |df|=6.146654e-06\n",
      "k =  2321, f(x) = 3.711421e-08, |df|=9.558319e-06\n",
      "k =  2322, f(x) = 3.707667e-08, |df|=6.689140e-06\n",
      "k =  2323, f(x) = 3.704924e-08, |df|=5.453962e-06\n",
      "k =  2324, f(x) = 3.701202e-08, |df|=7.413589e-06\n",
      "k =  2325, f(x) = 3.698240e-08, |df|=5.744796e-06\n",
      "k =  2326, f(x) = 3.694901e-08, |df|=8.363165e-06\n",
      "k =  2327, f(x) = 3.691618e-08, |df|=6.147497e-06\n",
      "k =  2328, f(x) = 3.688835e-08, |df|=9.586506e-06\n",
      "k =  2329, f(x) = 3.685080e-08, |df|=6.695099e-06\n",
      "k =  2330, f(x) = 3.682346e-08, |df|=5.447720e-06\n",
      "k =  2331, f(x) = 3.678660e-08, |df|=7.425805e-06\n",
      "k =  2332, f(x) = 3.675705e-08, |df|=5.741728e-06\n",
      "k =  2333, f(x) = 3.672405e-08, |df|=8.382859e-06\n",
      "k =  2334, f(x) = 3.669126e-08, |df|=6.148529e-06\n",
      "k =  2335, f(x) = 3.666387e-08, |df|=9.615002e-06\n",
      "k =  2336, f(x) = 3.662631e-08, |df|=6.701277e-06\n",
      "k =  2337, f(x) = 3.659906e-08, |df|=5.441612e-06\n",
      "k =  2338, f(x) = 3.656255e-08, |df|=7.438268e-06\n",
      "k =  2339, f(x) = 3.653307e-08, |df|=5.738820e-06\n",
      "k =  2340, f(x) = 3.650046e-08, |df|=8.402831e-06\n",
      "k =  2341, f(x) = 3.646771e-08, |df|=6.149750e-06\n",
      "k =  2342, f(x) = 3.644076e-08, |df|=9.643808e-06\n",
      "k =  2343, f(x) = 3.640319e-08, |df|=6.707674e-06\n",
      "k =  2344, f(x) = 3.637603e-08, |df|=5.435638e-06\n",
      "k =  2345, f(x) = 3.633987e-08, |df|=7.450980e-06\n",
      "k =  2346, f(x) = 3.631046e-08, |df|=5.736073e-06\n",
      "k =  2347, f(x) = 3.627824e-08, |df|=8.423082e-06\n",
      "k =  2348, f(x) = 3.624552e-08, |df|=6.151160e-06\n",
      "k =  2349, f(x) = 3.621902e-08, |df|=9.672925e-06\n",
      "k =  2350, f(x) = 3.618144e-08, |df|=6.714290e-06\n",
      "k =  2351, f(x) = 3.615436e-08, |df|=5.429800e-06\n",
      "k =  2352, f(x) = 3.611855e-08, |df|=7.463942e-06\n",
      "k =  2353, f(x) = 3.608921e-08, |df|=5.733487e-06\n",
      "k =  2354, f(x) = 3.605738e-08, |df|=8.443612e-06\n",
      "k =  2355, f(x) = 3.602469e-08, |df|=6.152761e-06\n",
      "k =  2356, f(x) = 3.599584e-08, |df|=7.133748e-06\n",
      "k =  2357, f(x) = 3.596759e-08, |df|=5.592203e-06\n",
      "k =  2358, f(x) = 3.593418e-08, |df|=8.016883e-06\n",
      "k =  2359, f(x) = 3.590307e-08, |df|=5.962189e-06\n",
      "k =  2360, f(x) = 3.587463e-08, |df|=9.158800e-06\n",
      "k =  2361, f(x) = 3.583930e-08, |df|=6.467376e-06\n",
      "k =  2362, f(x) = 3.581309e-08, |df|=5.319276e-06\n",
      "k =  2363, f(x) = 3.577660e-08, |df|=7.144324e-06\n",
      "k =  2364, f(x) = 3.574842e-08, |df|=5.588411e-06\n",
      "k =  2365, f(x) = 3.571538e-08, |df|=8.034558e-06\n",
      "k =  2366, f(x) = 3.568431e-08, |df|=5.962226e-06\n",
      "k =  2367, f(x) = 3.565630e-08, |df|=9.184854e-06\n",
      "k =  2368, f(x) = 3.562097e-08, |df|=6.472249e-06\n",
      "k =  2369, f(x) = 3.559485e-08, |df|=5.312665e-06\n",
      "k =  2370, f(x) = 3.555869e-08, |df|=7.155138e-06\n",
      "k =  2371, f(x) = 3.553059e-08, |df|=5.584770e-06\n",
      "k =  2372, f(x) = 3.549792e-08, |df|=8.052501e-06\n",
      "k =  2373, f(x) = 3.546690e-08, |df|=5.962442e-06\n",
      "k =  2374, f(x) = 3.543930e-08, |df|=9.211206e-06\n",
      "k =  2375, f(x) = 3.540397e-08, |df|=6.477331e-06\n",
      "k =  2376, f(x) = 3.537794e-08, |df|=5.306181e-06\n",
      "k =  2377, f(x) = 3.534212e-08, |df|=7.166192e-06\n",
      "k =  2378, f(x) = 3.531409e-08, |df|=5.581282e-06\n",
      "k =  2379, f(x) = 3.528179e-08, |df|=8.070712e-06\n",
      "k =  2380, f(x) = 3.525081e-08, |df|=5.962838e-06\n",
      "k =  2381, f(x) = 3.522363e-08, |df|=9.237857e-06\n",
      "k =  2382, f(x) = 3.518830e-08, |df|=6.482623e-06\n",
      "k =  2383, f(x) = 3.516236e-08, |df|=5.299824e-06\n",
      "k =  2384, f(x) = 3.512687e-08, |df|=7.177484e-06\n",
      "k =  2385, f(x) = 3.509891e-08, |df|=5.577946e-06\n",
      "k =  2386, f(x) = 3.506698e-08, |df|=8.089192e-06\n",
      "k =  2387, f(x) = 3.503603e-08, |df|=5.963416e-06\n",
      "k =  2388, f(x) = 3.500927e-08, |df|=9.264807e-06\n",
      "k =  2389, f(x) = 3.497394e-08, |df|=6.488125e-06\n",
      "k =  2390, f(x) = 3.494809e-08, |df|=5.293597e-06\n",
      "k =  2391, f(x) = 3.491294e-08, |df|=7.189016e-06\n",
      "k =  2392, f(x) = 3.488504e-08, |df|=5.574765e-06\n",
      "k =  2393, f(x) = 3.485348e-08, |df|=8.107941e-06\n",
      "k =  2394, f(x) = 3.482257e-08, |df|=5.964175e-06\n",
      "k =  2395, f(x) = 3.479623e-08, |df|=9.292057e-06\n",
      "k =  2396, f(x) = 3.476089e-08, |df|=6.493838e-06\n",
      "k =  2397, f(x) = 3.473512e-08, |df|=5.287498e-06\n",
      "k =  2398, f(x) = 3.470031e-08, |df|=7.200788e-06\n",
      "k =  2399, f(x) = 3.467248e-08, |df|=5.571737e-06\n",
      "k =  2400, f(x) = 3.464129e-08, |df|=8.126959e-06\n",
      "k =  2401, f(x) = 3.461042e-08, |df|=5.965116e-06\n",
      "k =  2402, f(x) = 3.458450e-08, |df|=9.319606e-06\n",
      "k =  2403, f(x) = 3.454915e-08, |df|=6.499762e-06\n",
      "k =  2404, f(x) = 3.452346e-08, |df|=5.281529e-06\n",
      "k =  2405, f(x) = 3.448899e-08, |df|=7.212802e-06\n",
      "k =  2406, f(x) = 3.446122e-08, |df|=5.568865e-06\n",
      "k =  2407, f(x) = 3.443040e-08, |df|=8.146248e-06\n",
      "k =  2408, f(x) = 3.439955e-08, |df|=5.966240e-06\n",
      "k =  2409, f(x) = 3.437405e-08, |df|=9.347456e-06\n",
      "k =  2410, f(x) = 3.433869e-08, |df|=6.505898e-06\n",
      "k =  2411, f(x) = 3.431309e-08, |df|=5.275690e-06\n",
      "k =  2412, f(x) = 3.427895e-08, |df|=7.225056e-06\n",
      "k =  2413, f(x) = 3.425124e-08, |df|=5.566148e-06\n",
      "k =  2414, f(x) = 3.422079e-08, |df|=8.165806e-06\n",
      "k =  2415, f(x) = 3.418998e-08, |df|=5.967548e-06\n",
      "k =  2416, f(x) = 3.416490e-08, |df|=9.375606e-06\n",
      "k =  2417, f(x) = 3.412952e-08, |df|=6.512247e-06\n",
      "k =  2418, f(x) = 3.410400e-08, |df|=5.269982e-06\n",
      "k =  2419, f(x) = 3.407019e-08, |df|=7.237552e-06\n",
      "k =  2420, f(x) = 3.404255e-08, |df|=5.563587e-06\n",
      "k =  2421, f(x) = 3.401246e-08, |df|=8.185636e-06\n",
      "k =  2422, f(x) = 3.398168e-08, |df|=5.969039e-06\n",
      "k =  2423, f(x) = 3.395445e-08, |df|=6.918027e-06\n",
      "k =  2424, f(x) = 3.392784e-08, |df|=5.426944e-06\n",
      "k =  2425, f(x) = 3.389627e-08, |df|=7.772610e-06\n",
      "k =  2426, f(x) = 3.386697e-08, |df|=5.784699e-06\n",
      "k =  2427, f(x) = 3.384007e-08, |df|=8.877862e-06\n",
      "k =  2428, f(x) = 3.380681e-08, |df|=6.273309e-06\n",
      "k =  2429, f(x) = 3.378211e-08, |df|=5.163038e-06\n",
      "k =  2430, f(x) = 3.374765e-08, |df|=6.928213e-06\n",
      "k =  2431, f(x) = 3.372111e-08, |df|=5.423216e-06\n",
      "k =  2432, f(x) = 3.368989e-08, |df|=7.789674e-06\n",
      "k =  2433, f(x) = 3.366063e-08, |df|=5.784677e-06\n",
      "k =  2434, f(x) = 3.363413e-08, |df|=8.903045e-06\n",
      "k =  2435, f(x) = 3.360088e-08, |df|=6.277970e-06\n",
      "k =  2436, f(x) = 3.357626e-08, |df|=5.156582e-06\n",
      "k =  2437, f(x) = 3.354212e-08, |df|=6.938629e-06\n",
      "k =  2438, f(x) = 3.351564e-08, |df|=5.419636e-06\n",
      "k =  2439, f(x) = 3.348478e-08, |df|=7.806997e-06\n",
      "k =  2440, f(x) = 3.345556e-08, |df|=5.784830e-06\n",
      "k =  2441, f(x) = 3.342945e-08, |df|=8.928518e-06\n",
      "k =  2442, f(x) = 3.339619e-08, |df|=6.282834e-06\n",
      "k =  2443, f(x) = 3.337166e-08, |df|=5.150251e-06\n",
      "k =  2444, f(x) = 3.333784e-08, |df|=6.949277e-06\n",
      "k =  2445, f(x) = 3.331143e-08, |df|=5.416203e-06\n",
      "k =  2446, f(x) = 3.328091e-08, |df|=7.824580e-06\n",
      "k =  2447, f(x) = 3.325173e-08, |df|=5.785157e-06\n",
      "k =  2448, f(x) = 3.322602e-08, |df|=8.954280e-06\n",
      "k =  2449, f(x) = 3.319276e-08, |df|=6.287901e-06\n",
      "k =  2450, f(x) = 3.316832e-08, |df|=5.144043e-06\n",
      "k =  2451, f(x) = 3.313481e-08, |df|=6.960156e-06\n",
      "k =  2452, f(x) = 3.310847e-08, |df|=5.412918e-06\n",
      "k =  2453, f(x) = 3.307830e-08, |df|=7.842424e-06\n",
      "k =  2454, f(x) = 3.304915e-08, |df|=5.785659e-06\n",
      "k =  2455, f(x) = 3.302383e-08, |df|=8.980332e-06\n",
      "k =  2456, f(x) = 3.299057e-08, |df|=6.293172e-06\n",
      "k =  2457, f(x) = 3.296621e-08, |df|=5.137959e-06\n",
      "k =  2458, f(x) = 3.293302e-08, |df|=6.971269e-06\n",
      "k =  2459, f(x) = 3.290674e-08, |df|=5.409782e-06\n",
      "k =  2460, f(x) = 3.287692e-08, |df|=7.860528e-06\n",
      "k =  2461, f(x) = 3.284781e-08, |df|=5.786338e-06\n",
      "k =  2462, f(x) = 3.282288e-08, |df|=9.006675e-06\n",
      "k =  2463, f(x) = 3.278962e-08, |df|=6.298647e-06\n",
      "k =  2464, f(x) = 3.276534e-08, |df|=5.132001e-06\n",
      "k =  2465, f(x) = 3.273246e-08, |df|=6.982614e-06\n",
      "k =  2466, f(x) = 3.270624e-08, |df|=5.406795e-06\n",
      "k =  2467, f(x) = 3.267677e-08, |df|=7.878895e-06\n",
      "k =  2468, f(x) = 3.264769e-08, |df|=5.787193e-06\n",
      "k =  2469, f(x) = 3.262317e-08, |df|=9.033308e-06\n",
      "k =  2470, f(x) = 3.258989e-08, |df|=6.304328e-06\n",
      "k =  2471, f(x) = 3.256569e-08, |df|=5.126168e-06\n",
      "k =  2472, f(x) = 3.253313e-08, |df|=6.994192e-06\n",
      "k =  2473, f(x) = 3.250697e-08, |df|=5.403959e-06\n",
      "k =  2474, f(x) = 3.247784e-08, |df|=7.897523e-06\n",
      "k =  2475, f(x) = 3.244880e-08, |df|=5.788225e-06\n",
      "k =  2476, f(x) = 3.242467e-08, |df|=9.060233e-06\n",
      "k =  2477, f(x) = 3.239138e-08, |df|=6.310214e-06\n",
      "k =  2478, f(x) = 3.236726e-08, |df|=5.120462e-06\n",
      "k =  2479, f(x) = 3.233502e-08, |df|=7.006005e-06\n",
      "k =  2480, f(x) = 3.230891e-08, |df|=5.401273e-06\n",
      "k =  2481, f(x) = 3.228014e-08, |df|=7.916413e-06\n",
      "k =  2482, f(x) = 3.225112e-08, |df|=5.789435e-06\n",
      "k =  2483, f(x) = 3.222738e-08, |df|=9.087449e-06\n",
      "k =  2484, f(x) = 3.219409e-08, |df|=6.316306e-06\n",
      "k =  2485, f(x) = 3.217004e-08, |df|=5.114882e-06\n",
      "k =  2486, f(x) = 3.213811e-08, |df|=7.018052e-06\n",
      "k =  2487, f(x) = 3.211207e-08, |df|=5.398739e-06\n",
      "k =  2488, f(x) = 3.208363e-08, |df|=7.935566e-06\n",
      "k =  2489, f(x) = 3.205465e-08, |df|=5.790824e-06\n",
      "k =  2490, f(x) = 3.202894e-08, |df|=6.708853e-06\n",
      "k =  2491, f(x) = 3.200387e-08, |df|=5.266584e-06\n",
      "k =  2492, f(x) = 3.197405e-08, |df|=7.535804e-06\n",
      "k =  2493, f(x) = 3.194645e-08, |df|=5.612511e-06\n",
      "k =  2494, f(x) = 3.192101e-08, |df|=8.605564e-06\n",
      "k =  2495, f(x) = 3.188970e-08, |df|=6.085085e-06\n",
      "k =  2496, f(x) = 3.186642e-08, |df|=5.011400e-06\n",
      "k =  2497, f(x) = 3.183389e-08, |df|=6.718661e-06\n",
      "k =  2498, f(x) = 3.180888e-08, |df|=5.262921e-06\n",
      "k =  2499, f(x) = 3.177938e-08, |df|=7.552276e-06\n",
      "k =  2500, f(x) = 3.175183e-08, |df|=5.612435e-06\n",
      "k =  2501, f(x) = 3.172676e-08, |df|=8.629905e-06\n",
      "k =  2502, f(x) = 3.169545e-08, |df|=6.089543e-06\n",
      "k =  2503, f(x) = 3.167226e-08, |df|=5.005098e-06\n",
      "k =  2504, f(x) = 3.164002e-08, |df|=6.728693e-06\n",
      "k =  2505, f(x) = 3.161508e-08, |df|=5.259400e-06\n",
      "k =  2506, f(x) = 3.158591e-08, |df|=7.569001e-06\n",
      "k =  2507, f(x) = 3.155839e-08, |df|=5.612527e-06\n",
      "k =  2508, f(x) = 3.153369e-08, |df|=8.654527e-06\n",
      "k =  2509, f(x) = 3.150239e-08, |df|=6.094198e-06\n",
      "k =  2510, f(x) = 3.147927e-08, |df|=4.998915e-06\n",
      "k =  2511, f(x) = 3.144734e-08, |df|=6.738950e-06\n",
      "k =  2512, f(x) = 3.142246e-08, |df|=5.256022e-06\n",
      "k =  2513, f(x) = 3.139362e-08, |df|=7.585977e-06\n",
      "k =  2514, f(x) = 3.136614e-08, |df|=5.612788e-06\n",
      "k =  2515, f(x) = 3.134181e-08, |df|=8.679430e-06\n",
      "k =  2516, f(x) = 3.131051e-08, |df|=6.099049e-06\n",
      "k =  2517, f(x) = 3.128747e-08, |df|=4.992852e-06\n",
      "k =  2518, f(x) = 3.125583e-08, |df|=6.749432e-06\n",
      "k =  2519, f(x) = 3.123101e-08, |df|=5.252787e-06\n",
      "k =  2520, f(x) = 3.120250e-08, |df|=7.603207e-06\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "k =  2521, f(x) = 3.117506e-08, |df|=5.613220e-06\n",
      "k =  2522, f(x) = 3.115110e-08, |df|=8.704614e-06\n",
      "k =  2523, f(x) = 3.111980e-08, |df|=6.104098e-06\n",
      "k =  2524, f(x) = 3.109683e-08, |df|=4.986910e-06\n",
      "k =  2525, f(x) = 3.106550e-08, |df|=6.760139e-06\n",
      "k =  2526, f(x) = 3.104074e-08, |df|=5.249697e-06\n",
      "k =  2527, f(x) = 3.101256e-08, |df|=7.620689e-06\n",
      "k =  2528, f(x) = 3.098514e-08, |df|=5.613822e-06\n",
      "k =  2529, f(x) = 3.096156e-08, |df|=8.730080e-06\n",
      "k =  2530, f(x) = 3.093025e-08, |df|=6.109345e-06\n",
      "k =  2531, f(x) = 3.090736e-08, |df|=4.981090e-06\n",
      "k =  2532, f(x) = 3.087632e-08, |df|=6.771072e-06\n",
      "k =  2533, f(x) = 3.085162e-08, |df|=5.246752e-06\n",
      "k =  2534, f(x) = 3.082377e-08, |df|=7.638425e-06\n",
      "k =  2535, f(x) = 3.079639e-08, |df|=5.614595e-06\n",
      "k =  2536, f(x) = 3.077318e-08, |df|=8.755827e-06\n",
      "k =  2537, f(x) = 3.074186e-08, |df|=6.114791e-06\n",
      "k =  2538, f(x) = 3.071905e-08, |df|=4.975391e-06\n",
      "k =  2539, f(x) = 3.068830e-08, |df|=6.782232e-06\n",
      "k =  2540, f(x) = 3.066366e-08, |df|=5.243952e-06\n",
      "k =  2541, f(x) = 3.063614e-08, |df|=7.656415e-06\n",
      "k =  2542, f(x) = 3.060879e-08, |df|=5.615540e-06\n",
      "k =  2543, f(x) = 3.058594e-08, |df|=8.781857e-06\n",
      "k =  2544, f(x) = 3.055462e-08, |df|=6.120436e-06\n",
      "k =  2545, f(x) = 3.053188e-08, |df|=4.969814e-06\n",
      "k =  2546, f(x) = 3.050143e-08, |df|=6.793618e-06\n",
      "k =  2547, f(x) = 3.047685e-08, |df|=5.241298e-06\n",
      "k =  2548, f(x) = 3.044965e-08, |df|=7.674659e-06\n",
      "k =  2549, f(x) = 3.042233e-08, |df|=5.616657e-06\n",
      "k =  2550, f(x) = 3.039986e-08, |df|=8.808170e-06\n",
      "k =  2551, f(x) = 3.036852e-08, |df|=6.126281e-06\n",
      "k =  2552, f(x) = 3.034586e-08, |df|=4.964360e-06\n",
      "k =  2553, f(x) = 3.031571e-08, |df|=6.805231e-06\n",
      "k =  2554, f(x) = 3.029117e-08, |df|=5.238791e-06\n",
      "k =  2555, f(x) = 3.026430e-08, |df|=7.693158e-06\n",
      "k =  2556, f(x) = 3.023701e-08, |df|=5.617948e-06\n",
      "k =  2557, f(x) = 3.021491e-08, |df|=8.834766e-06\n",
      "k =  2558, f(x) = 3.018356e-08, |df|=6.132326e-06\n",
      "k =  2559, f(x) = 3.016097e-08, |df|=4.959029e-06\n",
      "k =  2560, f(x) = 3.013111e-08, |df|=6.817073e-06\n",
      "k =  2561, f(x) = 3.010663e-08, |df|=5.236431e-06\n",
      "k =  2562, f(x) = 3.008009e-08, |df|=7.711912e-06\n",
      "k =  2563, f(x) = 3.005282e-08, |df|=5.619411e-06\n",
      "k =  2564, f(x) = 3.002876e-08, |df|=6.515469e-06\n",
      "k =  2565, f(x) = 3.000520e-08, |df|=5.107378e-06\n",
      "k =  2566, f(x) = 2.997733e-08, |df|=7.322136e-06\n",
      "k =  2567, f(x) = 2.995138e-08, |df|=5.445338e-06\n",
      "k =  2568, f(x) = 2.992766e-08, |df|=8.365168e-06\n",
      "k =  2569, f(x) = 2.989820e-08, |df|=5.906793e-06\n",
      "k =  2570, f(x) = 2.987633e-08, |df|=4.858075e-06\n",
      "k =  2571, f(x) = 2.984590e-08, |df|=6.525132e-06\n",
      "k =  2572, f(x) = 2.982239e-08, |df|=5.103916e-06\n",
      "k =  2573, f(x) = 2.979484e-08, |df|=7.338282e-06\n",
      "k =  2574, f(x) = 2.976892e-08, |df|=5.445374e-06\n",
      "k =  2575, f(x) = 2.974556e-08, |df|=8.388967e-06\n",
      "k =  2576, f(x) = 2.971609e-08, |df|=5.911246e-06\n",
      "k =  2577, f(x) = 2.969431e-08, |df|=4.852038e-06\n",
      "k =  2578, f(x) = 2.966415e-08, |df|=6.535011e-06\n",
      "k =  2579, f(x) = 2.964071e-08, |df|=5.100593e-06\n",
      "k =  2580, f(x) = 2.961346e-08, |df|=7.354673e-06\n",
      "k =  2581, f(x) = 2.958758e-08, |df|=5.445574e-06\n",
      "k =  2582, f(x) = 2.956457e-08, |df|=8.413039e-06\n",
      "k =  2583, f(x) = 2.953510e-08, |df|=5.915890e-06\n",
      "k =  2584, f(x) = 2.951339e-08, |df|=4.846118e-06\n",
      "k =  2585, f(x) = 2.948351e-08, |df|=6.545109e-06\n",
      "k =  2586, f(x) = 2.946013e-08, |df|=5.097409e-06\n",
      "k =  2587, f(x) = 2.943320e-08, |df|=7.371309e-06\n",
      "k =  2588, f(x) = 2.940735e-08, |df|=5.445938e-06\n",
      "k =  2589, f(x) = 2.938468e-08, |df|=8.437383e-06\n",
      "k =  2590, f(x) = 2.935521e-08, |df|=5.920725e-06\n",
      "k =  2591, f(x) = 2.933358e-08, |df|=4.840314e-06\n",
      "k =  2592, f(x) = 2.930398e-08, |df|=6.555426e-06\n",
      "k =  2593, f(x) = 2.928066e-08, |df|=5.094364e-06\n",
      "k =  2594, f(x) = 2.925403e-08, |df|=7.388190e-06\n",
      "k =  2595, f(x) = 2.922821e-08, |df|=5.446468e-06\n",
      "k =  2596, f(x) = 2.920590e-08, |df|=8.462001e-06\n",
      "k =  2597, f(x) = 2.917643e-08, |df|=5.925753e-06\n",
      "k =  2598, f(x) = 2.915486e-08, |df|=4.834628e-06\n",
      "k =  2599, f(x) = 2.912555e-08, |df|=6.565961e-06\n",
      "k =  2600, f(x) = 2.910228e-08, |df|=5.091461e-06\n",
      "k =  2601, f(x) = 2.907596e-08, |df|=7.405317e-06\n",
      "k =  2602, f(x) = 2.905017e-08, |df|=5.447163e-06\n",
      "k =  2603, f(x) = 2.902821e-08, |df|=8.486892e-06\n",
      "k =  2604, f(x) = 2.899873e-08, |df|=5.930973e-06\n",
      "k =  2605, f(x) = 2.897724e-08, |df|=4.829060e-06\n",
      "k =  2606, f(x) = 2.894820e-08, |df|=6.576716e-06\n",
      "k =  2607, f(x) = 2.892499e-08, |df|=5.088698e-06\n",
      "k =  2608, f(x) = 2.889897e-08, |df|=7.422690e-06\n",
      "k =  2609, f(x) = 2.887322e-08, |df|=5.448025e-06\n",
      "k =  2610, f(x) = 2.885160e-08, |df|=8.512057e-06\n",
      "k =  2611, f(x) = 2.882212e-08, |df|=5.936386e-06\n",
      "k =  2612, f(x) = 2.880069e-08, |df|=4.823610e-06\n",
      "k =  2613, f(x) = 2.877194e-08, |df|=6.587691e-06\n",
      "k =  2614, f(x) = 2.874878e-08, |df|=5.086076e-06\n",
      "k =  2615, f(x) = 2.872307e-08, |df|=7.440310e-06\n",
      "k =  2616, f(x) = 2.869735e-08, |df|=5.449054e-06\n",
      "k =  2617, f(x) = 2.867608e-08, |df|=8.537496e-06\n",
      "k =  2618, f(x) = 2.864658e-08, |df|=5.941994e-06\n",
      "k =  2619, f(x) = 2.862523e-08, |df|=4.818279e-06\n",
      "k =  2620, f(x) = 2.859675e-08, |df|=6.598886e-06\n",
      "k =  2621, f(x) = 2.857364e-08, |df|=5.083597e-06\n",
      "k =  2622, f(x) = 2.854825e-08, |df|=7.458177e-06\n",
      "k =  2623, f(x) = 2.852255e-08, |df|=5.450251e-06\n",
      "k =  2624, f(x) = 2.850163e-08, |df|=8.563210e-06\n",
      "k =  2625, f(x) = 2.847212e-08, |df|=5.947795e-06\n",
      "k =  2626, f(x) = 2.845084e-08, |df|=4.813068e-06\n",
      "k =  2627, f(x) = 2.842264e-08, |df|=6.610302e-06\n",
      "k =  2628, f(x) = 2.839958e-08, |df|=5.081260e-06\n",
      "k =  2629, f(x) = 2.837449e-08, |df|=7.476291e-06\n",
      "k =  2630, f(x) = 2.834881e-08, |df|=5.451616e-06\n",
      "k =  2631, f(x) = 2.832610e-08, |df|=6.318444e-06\n",
      "k =  2632, f(x) = 2.830390e-08, |df|=4.956446e-06\n",
      "k =  2633, f(x) = 2.827757e-08, |df|=7.099032e-06\n",
      "k =  2634, f(x) = 2.825313e-08, |df|=5.283234e-06\n",
      "k =  2635, f(x) = 2.823070e-08, |df|=8.108573e-06\n",
      "k =  2636, f(x) = 2.820296e-08, |df|=5.729546e-06\n",
      "k =  2637, f(x) = 2.818236e-08, |df|=4.715382e-06\n",
      "k =  2638, f(x) = 2.815362e-08, |df|=6.327750e-06\n",
      "k =  2639, f(x) = 2.813148e-08, |df|=4.953043e-06\n",
      "k =  2640, f(x) = 2.810544e-08, |df|=7.114619e-06\n",
      "k =  2641, f(x) = 2.808104e-08, |df|=5.283216e-06\n",
      "k =  2642, f(x) = 2.805893e-08, |df|=8.131577e-06\n",
      "k =  2643, f(x) = 2.803119e-08, |df|=5.733805e-06\n",
      "k =  2644, f(x) = 2.801066e-08, |df|=4.709488e-06\n",
      "k =  2645, f(x) = 2.798219e-08, |df|=6.337266e-06\n",
      "k =  2646, f(x) = 2.796010e-08, |df|=4.949775e-06\n",
      "k =  2647, f(x) = 2.793436e-08, |df|=7.130443e-06\n",
      "k =  2648, f(x) = 2.790999e-08, |df|=5.283358e-06\n",
      "k =  2649, f(x) = 2.788821e-08, |df|=8.154845e-06\n",
      "k =  2650, f(x) = 2.786048e-08, |df|=5.738250e-06\n",
      "k =  2651, f(x) = 2.784002e-08, |df|=4.703707e-06\n",
      "k =  2652, f(x) = 2.781181e-08, |df|=6.346993e-06\n",
      "k =  2653, f(x) = 2.778978e-08, |df|=4.946641e-06\n",
      "k =  2654, f(x) = 2.776433e-08, |df|=7.146506e-06\n",
      "k =  2655, f(x) = 2.773998e-08, |df|=5.283659e-06\n",
      "k =  2656, f(x) = 2.771854e-08, |df|=8.178377e-06\n",
      "k =  2657, f(x) = 2.769080e-08, |df|=5.742881e-06\n",
      "k =  2658, f(x) = 2.767041e-08, |df|=4.698039e-06\n",
      "k =  2659, f(x) = 2.764247e-08, |df|=6.356933e-06\n",
      "k =  2660, f(x) = 2.762049e-08, |df|=4.943643e-06\n",
      "k =  2661, f(x) = 2.759533e-08, |df|=7.162806e-06\n",
      "k =  2662, f(x) = 2.757102e-08, |df|=5.284120e-06\n",
      "k =  2663, f(x) = 2.754990e-08, |df|=8.202175e-06\n",
      "k =  2664, f(x) = 2.752216e-08, |df|=5.747697e-06\n",
      "k =  2665, f(x) = 2.750184e-08, |df|=4.692485e-06\n",
      "k =  2666, f(x) = 2.747416e-08, |df|=6.367085e-06\n",
      "k =  2667, f(x) = 2.745224e-08, |df|=4.940780e-06\n",
      "k =  2668, f(x) = 2.742737e-08, |df|=7.179345e-06\n",
      "k =  2669, f(x) = 2.740308e-08, |df|=5.284742e-06\n",
      "k =  2670, f(x) = 2.738230e-08, |df|=8.226237e-06\n",
      "k =  2671, f(x) = 2.735455e-08, |df|=5.752701e-06\n",
      "k =  2672, f(x) = 2.733430e-08, |df|=4.687044e-06\n",
      "k =  2673, f(x) = 2.730688e-08, |df|=6.377450e-06\n",
      "k =  2674, f(x) = 2.728501e-08, |df|=4.938055e-06\n",
      "k =  2675, f(x) = 2.726043e-08, |df|=7.196122e-06\n",
      "k =  2676, f(x) = 2.723618e-08, |df|=5.285525e-06\n",
      "k =  2677, f(x) = 2.721572e-08, |df|=8.250566e-06\n",
      "k =  2678, f(x) = 2.718796e-08, |df|=5.757891e-06\n",
      "k =  2679, f(x) = 2.716778e-08, |df|=4.681719e-06\n",
      "k =  2680, f(x) = 2.714062e-08, |df|=6.388027e-06\n",
      "k =  2681, f(x) = 2.711880e-08, |df|=4.935466e-06\n",
      "k =  2682, f(x) = 2.709451e-08, |df|=7.213139e-06\n",
      "k =  2683, f(x) = 2.707028e-08, |df|=5.286470e-06\n",
      "k =  2684, f(x) = 2.705016e-08, |df|=8.275160e-06\n",
      "k =  2685, f(x) = 2.702240e-08, |df|=5.763270e-06\n",
      "k =  2686, f(x) = 2.700227e-08, |df|=4.676509e-06\n",
      "k =  2687, f(x) = 2.697538e-08, |df|=6.398819e-06\n",
      "k =  2688, f(x) = 2.695361e-08, |df|=4.933015e-06\n",
      "k =  2689, f(x) = 2.692961e-08, |df|=7.230395e-06\n",
      "k =  2690, f(x) = 2.690541e-08, |df|=5.287577e-06\n",
      "k =  2691, f(x) = 2.688561e-08, |df|=8.300021e-06\n",
      "k =  2692, f(x) = 2.685784e-08, |df|=5.768836e-06\n",
      "k =  2693, f(x) = 2.683778e-08, |df|=4.671414e-06\n",
      "k =  2694, f(x) = 2.681115e-08, |df|=6.409825e-06\n",
      "k =  2695, f(x) = 2.678943e-08, |df|=4.930703e-06\n",
      "k =  2696, f(x) = 2.676571e-08, |df|=7.247890e-06\n",
      "k =  2697, f(x) = 2.674154e-08, |df|=5.288848e-06\n",
      "k =  2698, f(x) = 2.672010e-08, |df|=6.127398e-06\n",
      "k =  2699, f(x) = 2.669918e-08, |df|=4.809988e-06\n",
      "k =  2700, f(x) = 2.667431e-08, |df|=6.882746e-06\n",
      "k =  2701, f(x) = 2.665129e-08, |df|=5.125972e-06\n",
      "k =  2702, f(x) = 2.663007e-08, |df|=7.859870e-06\n",
      "k =  2703, f(x) = 2.660396e-08, |df|=5.557637e-06\n",
      "k =  2704, f(x) = 2.658454e-08, |df|=4.576892e-06\n",
      "k =  2705, f(x) = 2.655740e-08, |df|=6.136359e-06\n",
      "k =  2706, f(x) = 2.653654e-08, |df|=4.806644e-06\n",
      "k =  2707, f(x) = 2.651195e-08, |df|=6.897794e-06\n",
      "k =  2708, f(x) = 2.648896e-08, |df|=5.125904e-06\n",
      "k =  2709, f(x) = 2.646805e-08, |df|=7.882104e-06\n",
      "k =  2710, f(x) = 2.644194e-08, |df|=5.561711e-06\n",
      "k =  2711, f(x) = 2.642259e-08, |df|=4.571138e-06\n",
      "k =  2712, f(x) = 2.639571e-08, |df|=6.145524e-06\n",
      "k =  2713, f(x) = 2.637490e-08, |df|=4.803430e-06\n",
      "k =  2714, f(x) = 2.635058e-08, |df|=6.913071e-06\n",
      "k =  2715, f(x) = 2.632762e-08, |df|=5.125991e-06\n",
      "k =  2716, f(x) = 2.630702e-08, |df|=7.904595e-06\n",
      "k =  2717, f(x) = 2.628091e-08, |df|=5.565964e-06\n",
      "k =  2718, f(x) = 2.626163e-08, |df|=4.565493e-06\n",
      "k =  2719, f(x) = 2.623500e-08, |df|=6.154895e-06\n",
      "k =  2720, f(x) = 2.621424e-08, |df|=4.800347e-06\n",
      "k =  2721, f(x) = 2.619019e-08, |df|=6.928580e-06\n",
      "k =  2722, f(x) = 2.616727e-08, |df|=5.126232e-06\n",
      "k =  2723, f(x) = 2.614698e-08, |df|=7.927343e-06\n",
      "k =  2724, f(x) = 2.612087e-08, |df|=5.570398e-06\n",
      "k =  2725, f(x) = 2.610165e-08, |df|=4.559957e-06\n",
      "k =  2726, f(x) = 2.607527e-08, |df|=6.164471e-06\n",
      "k =  2727, f(x) = 2.605456e-08, |df|=4.797394e-06\n",
      "k =  2728, f(x) = 2.603079e-08, |df|=6.944319e-06\n",
      "k =  2729, f(x) = 2.600790e-08, |df|=5.126628e-06\n",
      "k =  2730, f(x) = 2.598792e-08, |df|=7.950347e-06\n",
      "k =  2731, f(x) = 2.596180e-08, |df|=5.575011e-06\n",
      "k =  2732, f(x) = 2.594265e-08, |df|=4.554532e-06\n",
      "k =  2733, f(x) = 2.591651e-08, |df|=6.174253e-06\n",
      "k =  2734, f(x) = 2.589586e-08, |df|=4.794574e-06\n",
      "k =  2735, f(x) = 2.587236e-08, |df|=6.960289e-06\n",
      "k =  2736, f(x) = 2.584949e-08, |df|=5.127180e-06\n",
      "k =  2737, f(x) = 2.582983e-08, |df|=7.973609e-06\n",
      "k =  2738, f(x) = 2.580371e-08, |df|=5.579806e-06\n",
      "k =  2739, f(x) = 2.578462e-08, |df|=4.549217e-06\n",
      "k =  2740, f(x) = 2.575873e-08, |df|=6.184241e-06\n",
      "k =  2741, f(x) = 2.573813e-08, |df|=4.791886e-06\n",
      "k =  2742, f(x) = 2.571490e-08, |df|=6.976490e-06\n",
      "k =  2743, f(x) = 2.569206e-08, |df|=5.127888e-06\n",
      "k =  2744, f(x) = 2.567270e-08, |df|=7.997128e-06\n",
      "k =  2745, f(x) = 2.564658e-08, |df|=5.584782e-06\n",
      "k =  2746, f(x) = 2.562755e-08, |df|=4.544014e-06\n",
      "k =  2747, f(x) = 2.560191e-08, |df|=6.194436e-06\n",
      "k =  2748, f(x) = 2.558135e-08, |df|=4.789330e-06\n",
      "k =  2749, f(x) = 2.555840e-08, |df|=6.992924e-06\n",
      "k =  2750, f(x) = 2.553559e-08, |df|=5.128754e-06\n",
      "k =  2751, f(x) = 2.551654e-08, |df|=8.020905e-06\n",
      "k =  2752, f(x) = 2.549041e-08, |df|=5.589941e-06\n",
      "k =  2753, f(x) = 2.547144e-08, |df|=4.538922e-06\n",
      "k =  2754, f(x) = 2.544605e-08, |df|=6.204838e-06\n",
      "k =  2755, f(x) = 2.542554e-08, |df|=4.786909e-06\n",
      "k =  2756, f(x) = 2.540286e-08, |df|=7.009590e-06\n",
      "k =  2757, f(x) = 2.538007e-08, |df|=5.129776e-06\n",
      "k =  2758, f(x) = 2.536133e-08, |df|=8.044941e-06\n",
      "k =  2759, f(x) = 2.533519e-08, |df|=5.595281e-06\n",
      "k =  2760, f(x) = 2.531629e-08, |df|=4.533942e-06\n",
      "k =  2761, f(x) = 2.529114e-08, |df|=6.215447e-06\n",
      "k =  2762, f(x) = 2.527067e-08, |df|=4.784621e-06\n",
      "k =  2763, f(x) = 2.524826e-08, |df|=7.026488e-06\n",
      "k =  2764, f(x) = 2.522550e-08, |df|=5.130957e-06\n",
      "k =  2765, f(x) = 2.520526e-08, |df|=5.942148e-06\n",
      "k =  2766, f(x) = 2.518556e-08, |df|=4.667871e-06\n",
      "k =  2767, f(x) = 2.516206e-08, |df|=6.673071e-06\n",
      "k =  2768, f(x) = 2.514038e-08, |df|=4.973408e-06\n",
      "k =  2769, f(x) = 2.512031e-08, |df|=7.618815e-06\n",
      "k =  2770, f(x) = 2.509573e-08, |df|=5.390904e-06\n",
      "k =  2771, f(x) = 2.507743e-08, |df|=4.442480e-06\n",
      "k =  2772, f(x) = 2.505180e-08, |df|=5.950777e-06\n",
      "k =  2773, f(x) = 2.503215e-08, |df|=4.664586e-06\n",
      "k =  2774, f(x) = 2.500891e-08, |df|=6.687597e-06\n",
      "k =  2775, f(x) = 2.498726e-08, |df|=4.973293e-06\n",
      "k =  2776, f(x) = 2.496748e-08, |df|=7.640306e-06\n",
      "k =  2777, f(x) = 2.494291e-08, |df|=5.394800e-06\n",
      "k =  2778, f(x) = 2.492467e-08, |df|=4.436862e-06\n",
      "k =  2779, f(x) = 2.489928e-08, |df|=5.959605e-06\n",
      "k =  2780, f(x) = 2.487968e-08, |df|=4.661426e-06\n",
      "k =  2781, f(x) = 2.485670e-08, |df|=6.702347e-06\n",
      "k =  2782, f(x) = 2.483508e-08, |df|=4.973327e-06\n",
      "k =  2783, f(x) = 2.481560e-08, |df|=7.662046e-06\n",
      "k =  2784, f(x) = 2.479102e-08, |df|=5.398869e-06\n",
      "k =  2785, f(x) = 2.477285e-08, |df|=4.431350e-06\n",
      "k =  2786, f(x) = 2.474770e-08, |df|=5.968631e-06\n",
      "k =  2787, f(x) = 2.472814e-08, |df|=4.658392e-06\n",
      "k =  2788, f(x) = 2.470542e-08, |df|=6.717319e-06\n",
      "k =  2789, f(x) = 2.468383e-08, |df|=4.973512e-06\n",
      "k =  2790, f(x) = 2.466464e-08, |df|=7.684034e-06\n",
      "k =  2791, f(x) = 2.464006e-08, |df|=5.403113e-06\n",
      "k =  2792, f(x) = 2.462195e-08, |df|=4.425945e-06\n",
      "k =  2793, f(x) = 2.459703e-08, |df|=5.977856e-06\n",
      "k =  2794, f(x) = 2.457753e-08, |df|=4.655486e-06\n",
      "k =  2795, f(x) = 2.455506e-08, |df|=6.732516e-06\n",
      "k =  2796, f(x) = 2.453350e-08, |df|=4.973847e-06\n",
      "k =  2797, f(x) = 2.451460e-08, |df|=7.706272e-06\n",
      "k =  2798, f(x) = 2.449002e-08, |df|=5.407532e-06\n",
      "k =  2799, f(x) = 2.447197e-08, |df|=4.420646e-06\n",
      "k =  2800, f(x) = 2.444729e-08, |df|=5.987281e-06\n",
      "k =  2801, f(x) = 2.442783e-08, |df|=4.652708e-06\n",
      "k =  2802, f(x) = 2.440563e-08, |df|=6.747937e-06\n",
      "k =  2803, f(x) = 2.438409e-08, |df|=4.974333e-06\n",
      "k =  2804, f(x) = 2.436548e-08, |df|=7.728759e-06\n",
      "k =  2805, f(x) = 2.434090e-08, |df|=5.412126e-06\n",
      "k =  2806, f(x) = 2.432291e-08, |df|=4.415454e-06\n",
      "k =  2807, f(x) = 2.429846e-08, |df|=5.996906e-06\n",
      "k =  2808, f(x) = 2.427905e-08, |df|=4.650057e-06\n",
      "k =  2809, f(x) = 2.425710e-08, |df|=6.763583e-06\n",
      "k =  2810, f(x) = 2.423560e-08, |df|=4.974970e-06\n",
      "k =  2811, f(x) = 2.421728e-08, |df|=7.751495e-06\n",
      "k =  2812, f(x) = 2.419269e-08, |df|=5.416897e-06\n",
      "k =  2813, f(x) = 2.417476e-08, |df|=4.410370e-06\n",
      "k =  2814, f(x) = 2.415055e-08, |df|=6.006731e-06\n",
      "k =  2815, f(x) = 2.413118e-08, |df|=4.647536e-06\n",
      "k =  2816, f(x) = 2.410949e-08, |df|=6.779453e-06\n",
      "k =  2817, f(x) = 2.408800e-08, |df|=4.975759e-06\n",
      "k =  2818, f(x) = 2.406998e-08, |df|=7.774482e-06\n",
      "k =  2819, f(x) = 2.404538e-08, |df|=5.421843e-06\n",
      "k =  2820, f(x) = 2.402751e-08, |df|=4.405394e-06\n",
      "k =  2821, f(x) = 2.400353e-08, |df|=6.016757e-06\n",
      "k =  2822, f(x) = 2.398421e-08, |df|=4.645143e-06\n",
      "k =  2823, f(x) = 2.396277e-08, |df|=6.795548e-06\n",
      "k =  2824, f(x) = 2.394131e-08, |df|=4.976701e-06\n",
      "k =  2825, f(x) = 2.392358e-08, |df|=7.797720e-06\n",
      "k =  2826, f(x) = 2.389897e-08, |df|=5.426967e-06\n",
      "k =  2827, f(x) = 2.388116e-08, |df|=4.400527e-06\n",
      "k =  2828, f(x) = 2.385741e-08, |df|=6.026985e-06\n",
      "k =  2829, f(x) = 2.383814e-08, |df|=4.642881e-06\n",
      "k =  2830, f(x) = 2.381696e-08, |df|=6.811869e-06\n",
      "k =  2831, f(x) = 2.379552e-08, |df|=4.977796e-06\n",
      "k =  2832, f(x) = 2.377808e-08, |df|=7.821208e-06\n",
      "k =  2833, f(x) = 2.375346e-08, |df|=5.432267e-06\n",
      "k =  2834, f(x) = 2.373571e-08, |df|=4.395768e-06\n",
      "k =  2835, f(x) = 2.371219e-08, |df|=6.037414e-06\n",
      "k =  2836, f(x) = 2.369295e-08, |df|=4.640748e-06\n",
      "k =  2837, f(x) = 2.367203e-08, |df|=6.828416e-06\n",
      "k =  2838, f(x) = 2.365061e-08, |df|=4.979045e-06\n",
      "k =  2839, f(x) = 2.363167e-08, |df|=5.770828e-06\n",
      "k =  2840, f(x) = 2.361315e-08, |df|=4.526739e-06\n",
      "k =  2841, f(x) = 2.359120e-08, |df|=6.483826e-06\n",
      "k =  2842, f(x) = 2.357081e-08, |df|=4.825241e-06\n",
      "k =  2843, f(x) = 2.355210e-08, |df|=7.405945e-06\n",
      "k =  2844, f(x) = 2.352896e-08, |df|=5.232916e-06\n",
      "k =  2845, f(x) = 2.351178e-08, |df|=4.306542e-06\n",
      "k =  2846, f(x) = 2.348781e-08, |df|=5.779329e-06\n",
      "k =  2847, f(x) = 2.346934e-08, |df|=4.523633e-06\n",
      "k =  2848, f(x) = 2.344763e-08, |df|=6.498065e-06\n",
      "k =  2849, f(x) = 2.342727e-08, |df|=4.825227e-06\n",
      "k =  2850, f(x) = 2.340883e-08, |df|=7.426958e-06\n",
      "k =  2851, f(x) = 2.338570e-08, |df|=5.236809e-06\n",
      "k =  2852, f(x) = 2.336857e-08, |df|=4.301160e-06\n",
      "k =  2853, f(x) = 2.334482e-08, |df|=5.788023e-06\n",
      "k =  2854, f(x) = 2.332640e-08, |df|=4.520649e-06\n",
      "k =  2855, f(x) = 2.330493e-08, |df|=6.512521e-06\n",
      "k =  2856, f(x) = 2.328460e-08, |df|=4.825358e-06\n",
      "k =  2857, f(x) = 2.326644e-08, |df|=7.448213e-06\n",
      "k =  2858, f(x) = 2.324331e-08, |df|=5.240871e-06\n",
      "k =  2859, f(x) = 2.322624e-08, |df|=4.295881e-06\n",
      "k =  2860, f(x) = 2.320271e-08, |df|=5.796910e-06\n",
      "k =  2861, f(x) = 2.318434e-08, |df|=4.517789e-06\n",
      "k =  2862, f(x) = 2.316311e-08, |df|=6.527194e-06\n",
      "k =  2863, f(x) = 2.314281e-08, |df|=4.825635e-06\n",
      "k =  2864, f(x) = 2.312492e-08, |df|=7.469708e-06\n",
      "k =  2865, f(x) = 2.310179e-08, |df|=5.245102e-06\n",
      "k =  2866, f(x) = 2.308478e-08, |df|=4.290706e-06\n",
      "k =  2867, f(x) = 2.306147e-08, |df|=5.805990e-06\n",
      "k =  2868, f(x) = 2.304314e-08, |df|=4.515052e-06\n",
      "k =  2869, f(x) = 2.302216e-08, |df|=6.542084e-06\n",
      "k =  2870, f(x) = 2.300188e-08, |df|=4.826058e-06\n",
      "k =  2871, f(x) = 2.298427e-08, |df|=7.491446e-06\n",
      "k =  2872, f(x) = 2.296113e-08, |df|=5.249504e-06\n",
      "k =  2873, f(x) = 2.294418e-08, |df|=4.285635e-06\n",
      "k =  2874, f(x) = 2.292109e-08, |df|=5.815265e-06\n",
      "k =  2875, f(x) = 2.290281e-08, |df|=4.512440e-06\n",
      "k =  2876, f(x) = 2.288206e-08, |df|=6.557192e-06\n",
      "k =  2877, f(x) = 2.286181e-08, |df|=4.826628e-06\n",
      "k =  2878, f(x) = 2.284448e-08, |df|=7.513426e-06\n",
      "k =  2879, f(x) = 2.282133e-08, |df|=5.254076e-06\n",
      "k =  2880, f(x) = 2.280444e-08, |df|=4.280667e-06\n",
      "k =  2881, f(x) = 2.278157e-08, |df|=5.824734e-06\n",
      "k =  2882, f(x) = 2.276333e-08, |df|=4.509952e-06\n",
      "k =  2883, f(x) = 2.274283e-08, |df|=6.572518e-06\n",
      "k =  2884, f(x) = 2.272260e-08, |df|=4.827345e-06\n",
      "k =  2885, f(x) = 2.270554e-08, |df|=7.535649e-06\n",
      "k =  2886, f(x) = 2.268239e-08, |df|=5.258819e-06\n",
      "k =  2887, f(x) = 2.266555e-08, |df|=4.275805e-06\n",
      "k =  2888, f(x) = 2.264290e-08, |df|=5.834397e-06\n",
      "k =  2889, f(x) = 2.262470e-08, |df|=4.507590e-06\n",
      "k =  2890, f(x) = 2.260444e-08, |df|=6.588062e-06\n",
      "k =  2891, f(x) = 2.258423e-08, |df|=4.828210e-06\n",
      "k =  2892, f(x) = 2.256745e-08, |df|=7.558115e-06\n",
      "k =  2893, f(x) = 2.254429e-08, |df|=5.263733e-06\n",
      "k =  2894, f(x) = 2.252751e-08, |df|=4.271048e-06\n",
      "k =  2895, f(x) = 2.250508e-08, |df|=5.844256e-06\n",
      "k =  2896, f(x) = 2.248692e-08, |df|=4.505353e-06\n",
      "k =  2897, f(x) = 2.246690e-08, |df|=6.603826e-06\n",
      "k =  2898, f(x) = 2.244671e-08, |df|=4.829224e-06\n",
      "k =  2899, f(x) = 2.243020e-08, |df|=7.580824e-06\n",
      "k =  2900, f(x) = 2.240704e-08, |df|=5.268819e-06\n",
      "k =  2901, f(x) = 2.239031e-08, |df|=4.266397e-06\n",
      "k =  2902, f(x) = 2.236810e-08, |df|=5.854310e-06\n",
      "k =  2903, f(x) = 2.234998e-08, |df|=4.503243e-06\n",
      "k =  2904, f(x) = 2.233020e-08, |df|=6.619808e-06\n",
      "k =  2905, f(x) = 2.231003e-08, |df|=4.830386e-06\n",
      "k =  2906, f(x) = 2.229215e-08, |df|=5.596338e-06\n",
      "k =  2907, f(x) = 2.227471e-08, |df|=4.392978e-06\n",
      "k =  2908, f(x) = 2.225396e-08, |df|=6.286283e-06\n",
      "k =  2909, f(x) = 2.223476e-08, |df|=4.681611e-06\n",
      "k =  2910, f(x) = 2.221707e-08, |df|=7.178792e-06\n",
      "k =  2911, f(x) = 2.219528e-08, |df|=5.075908e-06\n",
      "k =  2912, f(x) = 2.217909e-08, |df|=4.180059e-06\n",
      "k =  2913, f(x) = 2.215645e-08, |df|=5.604525e-06\n",
      "k =  2914, f(x) = 2.213906e-08, |df|=4.389926e-06\n",
      "k =  2915, f(x) = 2.211854e-08, |df|=6.300029e-06\n",
      "k =  2916, f(x) = 2.209937e-08, |df|=4.681551e-06\n",
      "k =  2917, f(x) = 2.208193e-08, |df|=7.199103e-06\n",
      "k =  2918, f(x) = 2.206015e-08, |df|=5.079631e-06\n",
      "k =  2919, f(x) = 2.204401e-08, |df|=4.174805e-06\n",
      "k =  2920, f(x) = 2.202159e-08, |df|=5.612899e-06\n",
      "k =  2921, f(x) = 2.200423e-08, |df|=4.386992e-06\n",
      "k =  2922, f(x) = 2.198395e-08, |df|=6.313986e-06\n",
      "k =  2923, f(x) = 2.196480e-08, |df|=4.681632e-06\n",
      "k =  2924, f(x) = 2.194762e-08, |df|=7.219647e-06\n",
      "k =  2925, f(x) = 2.192584e-08, |df|=5.083518e-06\n",
      "k =  2926, f(x) = 2.190976e-08, |df|=4.169650e-06\n",
      "k =  2927, f(x) = 2.188754e-08, |df|=5.621460e-06\n",
      "k =  2928, f(x) = 2.187023e-08, |df|=4.384177e-06\n",
      "k =  2929, f(x) = 2.185018e-08, |df|=6.328152e-06\n",
      "k =  2930, f(x) = 2.183106e-08, |df|=4.681854e-06\n",
      "k =  2931, f(x) = 2.181414e-08, |df|=7.240426e-06\n",
      "k =  2932, f(x) = 2.179235e-08, |df|=5.087569e-06\n",
      "k =  2933, f(x) = 2.177633e-08, |df|=4.164596e-06\n",
      "k =  2934, f(x) = 2.175432e-08, |df|=5.630208e-06\n",
      "k =  2935, f(x) = 2.173705e-08, |df|=4.381483e-06\n",
      "k =  2936, f(x) = 2.171722e-08, |df|=6.342530e-06\n",
      "k =  2937, f(x) = 2.169813e-08, |df|=4.682218e-06\n",
      "k =  2938, f(x) = 2.168146e-08, |df|=7.261439e-06\n",
      "k =  2939, f(x) = 2.165968e-08, |df|=5.091785e-06\n",
      "k =  2940, f(x) = 2.164371e-08, |df|=4.159642e-06\n",
      "k =  2941, f(x) = 2.162191e-08, |df|=5.639145e-06\n",
      "k =  2942, f(x) = 2.160468e-08, |df|=4.378908e-06\n",
      "k =  2943, f(x) = 2.158508e-08, |df|=6.357118e-06\n",
      "k =  2944, f(x) = 2.156601e-08, |df|=4.682724e-06\n",
      "k =  2945, f(x) = 2.154961e-08, |df|=7.282688e-06\n",
      "k =  2946, f(x) = 2.152782e-08, |df|=5.096166e-06\n",
      "k =  2947, f(x) = 2.151190e-08, |df|=4.154790e-06\n",
      "k =  2948, f(x) = 2.149031e-08, |df|=5.648269e-06\n",
      "k =  2949, f(x) = 2.147312e-08, |df|=4.376455e-06\n",
      "k =  2950, f(x) = 2.145375e-08, |df|=6.371919e-06\n",
      "k =  2951, f(x) = 2.143470e-08, |df|=4.683373e-06\n",
      "k =  2952, f(x) = 2.141855e-08, |df|=7.304171e-06\n",
      "k =  2953, f(x) = 2.139676e-08, |df|=5.100714e-06\n",
      "k =  2954, f(x) = 2.138089e-08, |df|=4.150039e-06\n",
      "k =  2955, f(x) = 2.135951e-08, |df|=5.657583e-06\n",
      "k =  2956, f(x) = 2.134236e-08, |df|=4.374123e-06\n",
      "k =  2957, f(x) = 2.132322e-08, |df|=6.386931e-06\n",
      "k =  2958, f(x) = 2.130419e-08, |df|=4.684165e-06\n",
      "k =  2959, f(x) = 2.128830e-08, |df|=7.325891e-06\n",
      "k =  2960, f(x) = 2.126650e-08, |df|=5.105427e-06\n",
      "k =  2961, f(x) = 2.125069e-08, |df|=4.145390e-06\n",
      "k =  2962, f(x) = 2.122951e-08, |df|=5.667086e-06\n",
      "k =  2963, f(x) = 2.121240e-08, |df|=4.371913e-06\n",
      "k =  2964, f(x) = 2.119348e-08, |df|=6.402155e-06\n",
      "k =  2965, f(x) = 2.117447e-08, |df|=4.685101e-06\n",
      "k =  2966, f(x) = 2.115885e-08, |df|=7.347846e-06\n",
      "k =  2967, f(x) = 2.113704e-08, |df|=5.110307e-06\n",
      "k =  2968, f(x) = 2.112128e-08, |df|=4.140843e-06\n",
      "k =  2969, f(x) = 2.110030e-08, |df|=5.676779e-06\n",
      "k =  2970, f(x) = 2.108323e-08, |df|=4.369825e-06\n",
      "k =  2971, f(x) = 2.106454e-08, |df|=6.417591e-06\n",
      "k =  2972, f(x) = 2.104555e-08, |df|=4.686182e-06\n",
      "k =  2973, f(x) = 2.102867e-08, |df|=5.427144e-06\n",
      "k =  2974, f(x) = 2.101224e-08, |df|=4.263182e-06\n",
      "k =  2975, f(x) = 2.099264e-08, |df|=6.094778e-06\n",
      "k =  2976, f(x) = 2.097456e-08, |df|=4.542272e-06\n",
      "k =  2977, f(x) = 2.095782e-08, |df|=6.958625e-06\n",
      "k =  2978, f(x) = 2.093731e-08, |df|=4.923627e-06\n",
      "k =  2979, f(x) = 2.092205e-08, |df|=4.057300e-06\n",
      "k =  2980, f(x) = 2.090068e-08, |df|=5.435027e-06\n",
      "k =  2981, f(x) = 2.088429e-08, |df|=4.260183e-06\n",
      "k =  2982, f(x) = 2.086490e-08, |df|=6.108048e-06\n",
      "k =  2983, f(x) = 2.084685e-08, |df|=4.542169e-06\n",
      "k =  2984, f(x) = 2.083035e-08, |df|=6.978256e-06\n",
      "k =  2985, f(x) = 2.080985e-08, |df|=4.927187e-06\n",
      "k =  2986, f(x) = 2.079464e-08, |df|=4.052171e-06\n",
      "k =  2987, f(x) = 2.077347e-08, |df|=5.443092e-06\n",
      "k =  2988, f(x) = 2.075712e-08, |df|=4.257298e-06\n",
      "k =  2989, f(x) = 2.073795e-08, |df|=6.121521e-06\n",
      "k =  2990, f(x) = 2.071992e-08, |df|=4.542202e-06\n",
      "k =  2991, f(x) = 2.070367e-08, |df|=6.998114e-06\n",
      "k =  2992, f(x) = 2.068317e-08, |df|=4.930906e-06\n",
      "k =  2993, f(x) = 2.066801e-08, |df|=4.047138e-06\n",
      "k =  2994, f(x) = 2.064703e-08, |df|=5.451338e-06\n",
      "k =  2995, f(x) = 2.063072e-08, |df|=4.254530e-06\n",
      "k =  2996, f(x) = 2.061177e-08, |df|=6.135199e-06\n",
      "k =  2997, f(x) = 2.059377e-08, |df|=4.542373e-06\n",
      "k =  2998, f(x) = 2.057776e-08, |df|=7.018200e-06\n",
      "k =  2999, f(x) = 2.055726e-08, |df|=4.934784e-06\n",
      "k =  3000, f(x) = 2.054215e-08, |df|=4.042203e-06\n",
      "k =  3001, f(x) = 2.052137e-08, |df|=5.459766e-06\n",
      "k =  3002, f(x) = 2.050510e-08, |df|=4.251877e-06\n",
      "k =  3003, f(x) = 2.048636e-08, |df|=6.149081e-06\n",
      "k =  3004, f(x) = 2.046838e-08, |df|=4.542681e-06\n",
      "k =  3005, f(x) = 2.045262e-08, |df|=7.038513e-06\n",
      "k =  3006, f(x) = 2.043211e-08, |df|=4.938822e-06\n",
      "k =  3007, f(x) = 2.041706e-08, |df|=4.037364e-06\n",
      "k =  3008, f(x) = 2.039647e-08, |df|=5.468376e-06\n",
      "k =  3009, f(x) = 2.038024e-08, |df|=4.249341e-06\n",
      "k =  3010, f(x) = 2.036172e-08, |df|=6.163168e-06\n",
      "k =  3011, f(x) = 2.034376e-08, |df|=4.543126e-06\n",
      "k =  3012, f(x) = 2.032824e-08, |df|=7.059053e-06\n",
      "k =  3013, f(x) = 2.030774e-08, |df|=4.943020e-06\n",
      "k =  3014, f(x) = 2.029273e-08, |df|=4.032624e-06\n",
      "k =  3015, f(x) = 2.027234e-08, |df|=5.477170e-06\n",
      "k =  3016, f(x) = 2.025615e-08, |df|=4.246922e-06\n",
      "k =  3017, f(x) = 2.023784e-08, |df|=6.177460e-06\n",
      "k =  3018, f(x) = 2.021990e-08, |df|=4.543710e-06\n",
      "k =  3019, f(x) = 2.020463e-08, |df|=7.079822e-06\n",
      "k =  3020, f(x) = 2.018412e-08, |df|=4.947379e-06\n",
      "k =  3021, f(x) = 2.016916e-08, |df|=4.027982e-06\n",
      "k =  3022, f(x) = 2.014897e-08, |df|=5.486146e-06\n",
      "k =  3023, f(x) = 2.013281e-08, |df|=4.244621e-06\n",
      "k =  3024, f(x) = 2.011472e-08, |df|=6.191958e-06\n",
      "k =  3025, f(x) = 2.009680e-08, |df|=4.544433e-06\n",
      "k =  3026, f(x) = 2.008177e-08, |df|=7.100820e-06\n",
      "k =  3027, f(x) = 2.006125e-08, |df|=4.951899e-06\n",
      "k =  3028, f(x) = 2.004635e-08, |df|=4.023439e-06\n",
      "k =  3029, f(x) = 2.002635e-08, |df|=5.495305e-06\n",
      "k =  3030, f(x) = 2.001023e-08, |df|=4.242437e-06\n",
      "k =  3031, f(x) = 1.999235e-08, |df|=6.206661e-06\n",
      "k =  3032, f(x) = 1.997445e-08, |df|=4.545295e-06\n",
      "k =  3033, f(x) = 1.995966e-08, |df|=7.122046e-06\n",
      "k =  3034, f(x) = 1.993914e-08, |df|=4.956581e-06\n",
      "k =  3035, f(x) = 1.992428e-08, |df|=4.018995e-06\n",
      "k =  3036, f(x) = 1.990448e-08, |df|=5.504649e-06\n",
      "k =  3037, f(x) = 1.988840e-08, |df|=4.240373e-06\n",
      "k =  3038, f(x) = 1.987073e-08, |df|=6.221570e-06\n",
      "k =  3039, f(x) = 1.985285e-08, |df|=4.546297e-06\n",
      "k =  3040, f(x) = 1.983830e-08, |df|=7.143501e-06\n",
      "k =  3041, f(x) = 1.981777e-08, |df|=4.961424e-06\n",
      "k =  3042, f(x) = 1.980296e-08, |df|=4.014651e-06\n",
      "k =  3043, f(x) = 1.978335e-08, |df|=5.514176e-06\n",
      "k =  3044, f(x) = 1.976730e-08, |df|=4.238427e-06\n",
      "k =  3045, f(x) = 1.974985e-08, |df|=6.236685e-06\n",
      "k =  3046, f(x) = 1.973199e-08, |df|=4.547440e-06\n",
      "k =  3047, f(x) = 1.971619e-08, |df|=5.270673e-06\n",
      "k =  3048, f(x) = 1.970074e-08, |df|=4.134287e-06\n",
      "k =  3049, f(x) = 1.968243e-08, |df|=5.921935e-06\n",
      "k =  3050, f(x) = 1.966543e-08, |df|=4.406951e-06\n",
      "k =  3051, f(x) = 1.964982e-08, |df|=6.764202e-06\n",
      "k =  3052, f(x) = 1.963052e-08, |df|=4.779334e-06\n",
      "k =  3053, f(x) = 1.961619e-08, |df|=3.933149e-06\n",
      "k =  3054, f(x) = 1.959620e-08, |df|=5.278440e-06\n",
      "k =  3055, f(x) = 1.958079e-08, |df|=4.131451e-06\n",
      "k =  3056, f(x) = 1.956268e-08, |df|=5.934942e-06\n",
      "k =  3057, f(x) = 1.954570e-08, |df|=4.406940e-06\n",
      "k =  3058, f(x) = 1.953033e-08, |df|=6.783397e-06\n",
      "k =  3059, f(x) = 1.951103e-08, |df|=4.782892e-06\n",
      "k =  3060, f(x) = 1.949675e-08, |df|=3.928236e-06\n",
      "k =  3061, f(x) = 1.947694e-08, |df|=5.286382e-06\n",
      "k =  3062, f(x) = 1.946157e-08, |df|=4.128728e-06\n",
      "k =  3063, f(x) = 1.944367e-08, |df|=5.948148e-06\n",
      "k =  3064, f(x) = 1.942671e-08, |df|=4.407061e-06\n",
      "k =  3065, f(x) = 1.941157e-08, |df|=6.802812e-06\n",
      "k =  3066, f(x) = 1.939227e-08, |df|=4.786604e-06\n",
      "k =  3067, f(x) = 1.937803e-08, |df|=3.923416e-06\n",
      "k =  3068, f(x) = 1.935841e-08, |df|=5.294502e-06\n",
      "k =  3069, f(x) = 1.934308e-08, |df|=4.126117e-06\n",
      "k =  3070, f(x) = 1.932538e-08, |df|=5.961551e-06\n",
      "k =  3071, f(x) = 1.930844e-08, |df|=4.407316e-06\n",
      "k =  3072, f(x) = 1.929353e-08, |df|=6.822447e-06\n",
      "k =  3073, f(x) = 1.927423e-08, |df|=4.790471e-06\n",
      "k =  3074, f(x) = 1.926004e-08, |df|=3.918691e-06\n",
      "k =  3075, f(x) = 1.924060e-08, |df|=5.302797e-06\n",
      "k =  3076, f(x) = 1.922531e-08, |df|=4.123620e-06\n",
      "k =  3077, f(x) = 1.920781e-08, |df|=5.975154e-06\n",
      "k =  3078, f(x) = 1.919090e-08, |df|=4.407704e-06\n",
      "k =  3079, f(x) = 1.917621e-08, |df|=6.842304e-06\n",
      "k =  3080, f(x) = 1.915691e-08, |df|=4.794493e-06\n",
      "k =  3081, f(x) = 1.914277e-08, |df|=3.914060e-06\n",
      "k =  3082, f(x) = 1.912352e-08, |df|=5.311270e-06\n",
      "k =  3083, f(x) = 1.910826e-08, |df|=4.121235e-06\n",
      "k =  3084, f(x) = 1.909097e-08, |df|=5.988955e-06\n",
      "k =  3085, f(x) = 1.907407e-08, |df|=4.408227e-06\n",
      "k =  3086, f(x) = 1.905962e-08, |df|=6.862382e-06\n",
      "k =  3087, f(x) = 1.904031e-08, |df|=4.798670e-06\n",
      "k =  3088, f(x) = 1.902622e-08, |df|=3.909525e-06\n",
      "k =  3089, f(x) = 1.900715e-08, |df|=5.319921e-06\n",
      "k =  3090, f(x) = 1.899193e-08, |df|=4.118965e-06\n",
      "k =  3091, f(x) = 1.897483e-08, |df|=6.002955e-06\n",
      "k =  3092, f(x) = 1.895796e-08, |df|=4.408884e-06\n",
      "k =  3093, f(x) = 1.894373e-08, |df|=6.882681e-06\n",
      "k =  3094, f(x) = 1.892442e-08, |df|=4.803004e-06\n",
      "k =  3095, f(x) = 1.891037e-08, |df|=3.905085e-06\n",
      "k =  3096, f(x) = 1.889149e-08, |df|=5.328749e-06\n",
      "k =  3097, f(x) = 1.887630e-08, |df|=4.116809e-06\n",
      "k =  3098, f(x) = 1.885941e-08, |df|=6.017155e-06\n",
      "k =  3099, f(x) = 1.884255e-08, |df|=4.409676e-06\n",
      "k =  3100, f(x) = 1.882855e-08, |df|=6.903202e-06\n",
      "k =  3101, f(x) = 1.880924e-08, |df|=4.807495e-06\n",
      "k =  3102, f(x) = 1.879524e-08, |df|=3.900742e-06\n",
      "k =  3103, f(x) = 1.877653e-08, |df|=5.337756e-06\n",
      "k =  3104, f(x) = 1.876138e-08, |df|=4.114768e-06\n",
      "k =  3105, f(x) = 1.874469e-08, |df|=6.031554e-06\n",
      "k =  3106, f(x) = 1.872785e-08, |df|=4.410603e-06\n",
      "k =  3107, f(x) = 1.871408e-08, |df|=6.923945e-06\n",
      "k =  3108, f(x) = 1.869476e-08, |df|=4.812143e-06\n",
      "k =  3109, f(x) = 1.868080e-08, |df|=3.896495e-06\n",
      "k =  3110, f(x) = 1.866228e-08, |df|=5.346941e-06\n",
      "k =  3111, f(x) = 1.864717e-08, |df|=4.112842e-06\n",
      "k =  3112, f(x) = 1.863067e-08, |df|=6.046153e-06\n",
      "k =  3113, f(x) = 1.861385e-08, |df|=4.411667e-06\n",
      "k =  3114, f(x) = 1.859894e-08, |df|=5.111306e-06\n",
      "k =  3115, f(x) = 1.858439e-08, |df|=4.012122e-06\n",
      "k =  3116, f(x) = 1.856708e-08, |df|=5.741511e-06\n",
      "k =  3117, f(x) = 1.855107e-08, |df|=4.275772e-06\n",
      "k =  3118, f(x) = 1.853631e-08, |df|=6.556732e-06\n",
      "k =  3119, f(x) = 1.851814e-08, |df|=4.635935e-06\n",
      "k =  3120, f(x) = 1.850463e-08, |df|=3.817633e-06\n",
      "k =  3121, f(x) = 1.848576e-08, |df|=5.118786e-06\n",
      "k =  3122, f(x) = 1.847124e-08, |df|=4.009336e-06\n",
      "k =  3123, f(x) = 1.845413e-08, |df|=5.754068e-06\n",
      "k =  3124, f(x) = 1.843814e-08, |df|=4.275719e-06\n",
      "k =  3125, f(x) = 1.842360e-08, |df|=6.575285e-06\n",
      "k =  3126, f(x) = 1.840543e-08, |df|=4.639337e-06\n",
      "k =  3127, f(x) = 1.839197e-08, |df|=3.812836e-06\n",
      "k =  3128, f(x) = 1.837327e-08, |df|=5.126436e-06\n",
      "k =  3129, f(x) = 1.835879e-08, |df|=4.006658e-06\n",
      "k =  3130, f(x) = 1.834187e-08, |df|=5.766817e-06\n",
      "k =  3131, f(x) = 1.832590e-08, |df|=4.275794e-06\n",
      "k =  3132, f(x) = 1.831158e-08, |df|=6.594051e-06\n",
      "k =  3133, f(x) = 1.829341e-08, |df|=4.642889e-06\n",
      "k =  3134, f(x) = 1.827999e-08, |df|=3.808129e-06\n",
      "k =  3135, f(x) = 1.826147e-08, |df|=5.134257e-06\n",
      "k =  3136, f(x) = 1.824703e-08, |df|=4.004089e-06\n",
      "k =  3137, f(x) = 1.823030e-08, |df|=5.779758e-06\n",
      "k =  3138, f(x) = 1.821435e-08, |df|=4.275999e-06\n",
      "k =  3139, f(x) = 1.820024e-08, |df|=6.613032e-06\n",
      "k =  3140, f(x) = 1.818207e-08, |df|=4.646591e-06\n",
      "k =  3141, f(x) = 1.816870e-08, |df|=3.803515e-06\n",
      "k =  3142, f(x) = 1.815035e-08, |df|=5.142249e-06\n",
      "k =  3143, f(x) = 1.813594e-08, |df|=4.001630e-06\n",
      "k =  3144, f(x) = 1.811941e-08, |df|=5.792892e-06\n",
      "k =  3145, f(x) = 1.810348e-08, |df|=4.276333e-06\n",
      "k =  3146, f(x) = 1.808958e-08, |df|=6.632227e-06\n",
      "k =  3147, f(x) = 1.807141e-08, |df|=4.650444e-06\n",
      "k =  3148, f(x) = 1.805809e-08, |df|=3.798992e-06\n",
      "k =  3149, f(x) = 1.803991e-08, |df|=5.150413e-06\n",
      "k =  3150, f(x) = 1.802554e-08, |df|=3.999280e-06\n",
      "k =  3151, f(x) = 1.800919e-08, |df|=5.806219e-06\n",
      "k =  3152, f(x) = 1.799328e-08, |df|=4.276797e-06\n",
      "k =  3153, f(x) = 1.797960e-08, |df|=6.651636e-06\n",
      "k =  3154, f(x) = 1.796143e-08, |df|=4.654448e-06\n",
      "k =  3155, f(x) = 1.794815e-08, |df|=3.794561e-06\n",
      "k =  3156, f(x) = 1.793014e-08, |df|=5.158750e-06\n",
      "k =  3157, f(x) = 1.791581e-08, |df|=3.997041e-06\n",
      "k =  3158, f(x) = 1.789965e-08, |df|=5.819739e-06\n",
      "k =  3159, f(x) = 1.788376e-08, |df|=4.277392e-06\n",
      "k =  3160, f(x) = 1.787030e-08, |df|=6.671260e-06\n",
      "k =  3161, f(x) = 1.785212e-08, |df|=4.658603e-06\n",
      "k =  3162, f(x) = 1.783888e-08, |df|=3.790223e-06\n",
      "k =  3163, f(x) = 1.782105e-08, |df|=5.167258e-06\n",
      "k =  3164, f(x) = 1.780675e-08, |df|=3.994912e-06\n",
      "k =  3165, f(x) = 1.779078e-08, |df|=5.833452e-06\n",
      "k =  3166, f(x) = 1.777491e-08, |df|=4.278117e-06\n",
      "k =  3167, f(x) = 1.776166e-08, |df|=6.691100e-06\n",
      "k =  3168, f(x) = 1.774348e-08, |df|=4.662910e-06\n",
      "k =  3169, f(x) = 1.773028e-08, |df|=3.785978e-06\n",
      "k =  3170, f(x) = 1.771262e-08, |df|=5.175940e-06\n",
      "k =  3171, f(x) = 1.769835e-08, |df|=3.992895e-06\n",
      "k =  3172, f(x) = 1.768257e-08, |df|=5.847359e-06\n",
      "k =  3173, f(x) = 1.766672e-08, |df|=4.278974e-06\n",
      "k =  3174, f(x) = 1.765368e-08, |df|=6.711155e-06\n",
      "k =  3175, f(x) = 1.763549e-08, |df|=4.667369e-06\n",
      "k =  3176, f(x) = 1.762235e-08, |df|=3.781827e-06\n",
      "k =  3177, f(x) = 1.760485e-08, |df|=5.184795e-06\n",
      "k =  3178, f(x) = 1.759061e-08, |df|=3.990990e-06\n",
      "k =  3179, f(x) = 1.757503e-08, |df|=5.861460e-06\n",
      "k =  3180, f(x) = 1.755919e-08, |df|=4.279962e-06\n",
      "k =  3181, f(x) = 1.754511e-08, |df|=4.956775e-06\n",
      "k =  3182, f(x) = 1.753140e-08, |df|=3.893579e-06\n",
      "k =  3183, f(x) = 1.751505e-08, |df|=5.566601e-06\n",
      "k =  3184, f(x) = 1.749997e-08, |df|=4.148511e-06\n",
      "k =  3185, f(x) = 1.748601e-08, |df|=6.355642e-06\n",
      "k =  3186, f(x) = 1.746891e-08, |df|=4.496853e-06\n",
      "k =  3187, f(x) = 1.745618e-08, |df|=3.705518e-06\n",
      "k =  3188, f(x) = 1.743835e-08, |df|=4.963977e-06\n",
      "k =  3189, f(x) = 1.742468e-08, |df|=3.890841e-06\n",
      "k =  3190, f(x) = 1.740851e-08, |df|=5.578723e-06\n",
      "k =  3191, f(x) = 1.739345e-08, |df|=4.148419e-06\n",
      "k =  3192, f(x) = 1.737970e-08, |df|=6.373575e-06\n",
      "k =  3193, f(x) = 1.736259e-08, |df|=4.500106e-06\n",
      "k =  3194, f(x) = 1.734991e-08, |df|=3.700835e-06\n",
      "k =  3195, f(x) = 1.733225e-08, |df|=4.971345e-06\n",
      "k =  3196, f(x) = 1.731861e-08, |df|=3.888208e-06\n",
      "k =  3197, f(x) = 1.730263e-08, |df|=5.591031e-06\n",
      "k =  3198, f(x) = 1.728759e-08, |df|=4.148451e-06\n",
      "k =  3199, f(x) = 1.727403e-08, |df|=6.391714e-06\n",
      "k =  3200, f(x) = 1.725693e-08, |df|=4.503505e-06\n",
      "k =  3201, f(x) = 1.724429e-08, |df|=3.696240e-06\n",
      "k =  3202, f(x) = 1.722679e-08, |df|=4.978879e-06\n",
      "k =  3203, f(x) = 1.721319e-08, |df|=3.885681e-06\n",
      "k =  3204, f(x) = 1.719738e-08, |df|=5.603526e-06\n",
      "k =  3205, f(x) = 1.718236e-08, |df|=4.148609e-06\n",
      "k =  3206, f(x) = 1.716901e-08, |df|=6.410061e-06\n",
      "k =  3207, f(x) = 1.715191e-08, |df|=4.507049e-06\n",
      "k =  3208, f(x) = 1.713931e-08, |df|=3.691733e-06\n",
      "k =  3209, f(x) = 1.712198e-08, |df|=4.986579e-06\n",
      "k =  3210, f(x) = 1.710841e-08, |df|=3.883260e-06\n",
      "k =  3211, f(x) = 1.709279e-08, |df|=5.616207e-06\n",
      "k =  3212, f(x) = 1.707779e-08, |df|=4.148891e-06\n",
      "k =  3213, f(x) = 1.706464e-08, |df|=6.428616e-06\n",
      "k =  3214, f(x) = 1.704754e-08, |df|=4.510739e-06\n",
      "k =  3215, f(x) = 1.703498e-08, |df|=3.687315e-06\n",
      "k =  3216, f(x) = 1.701781e-08, |df|=4.994445e-06\n",
      "k =  3217, f(x) = 1.700427e-08, |df|=3.880945e-06\n",
      "k =  3218, f(x) = 1.698883e-08, |df|=5.629076e-06\n",
      "k =  3219, f(x) = 1.697385e-08, |df|=4.149300e-06\n",
      "k =  3220, f(x) = 1.696090e-08, |df|=6.447379e-06\n",
      "k =  3221, f(x) = 1.694380e-08, |df|=4.514575e-06\n",
      "k =  3222, f(x) = 1.693128e-08, |df|=3.682987e-06\n",
      "k =  3223, f(x) = 1.691428e-08, |df|=5.002478e-06\n",
      "k =  3224, f(x) = 1.690077e-08, |df|=3.878737e-06\n",
      "k =  3225, f(x) = 1.688550e-08, |df|=5.642131e-06\n",
      "k =  3226, f(x) = 1.687054e-08, |df|=4.149835e-06\n",
      "k =  3227, f(x) = 1.685780e-08, |df|=6.466351e-06\n",
      "k =  3228, f(x) = 1.684069e-08, |df|=4.518558e-06\n",
      "k =  3229, f(x) = 1.682822e-08, |df|=3.678749e-06\n",
      "k =  3230, f(x) = 1.681137e-08, |df|=5.010678e-06\n",
      "k =  3231, f(x) = 1.679790e-08, |df|=3.876637e-06\n",
      "k =  3232, f(x) = 1.678281e-08, |df|=5.655374e-06\n",
      "k =  3233, f(x) = 1.676786e-08, |df|=4.150497e-06\n",
      "k =  3234, f(x) = 1.675533e-08, |df|=6.485531e-06\n",
      "k =  3235, f(x) = 1.673821e-08, |df|=4.522689e-06\n",
      "k =  3236, f(x) = 1.672578e-08, |df|=3.674601e-06\n",
      "k =  3237, f(x) = 1.670910e-08, |df|=5.019046e-06\n",
      "k =  3238, f(x) = 1.669566e-08, |df|=3.874644e-06\n",
      "k =  3239, f(x) = 1.668075e-08, |df|=5.668806e-06\n",
      "k =  3240, f(x) = 1.666581e-08, |df|=4.151286e-06\n",
      "k =  3241, f(x) = 1.665348e-08, |df|=6.504920e-06\n",
      "k =  3242, f(x) = 1.663636e-08, |df|=4.526966e-06\n",
      "k =  3243, f(x) = 1.662397e-08, |df|=3.670543e-06\n",
      "k =  3244, f(x) = 1.660745e-08, |df|=5.027582e-06\n",
      "k =  3245, f(x) = 1.659404e-08, |df|=3.872760e-06\n",
      "k =  3246, f(x) = 1.657930e-08, |df|=5.682425e-06\n",
      "k =  3247, f(x) = 1.656439e-08, |df|=4.152203e-06\n",
      "k =  3248, f(x) = 1.655226e-08, |df|=6.524518e-06\n",
      "k =  3249, f(x) = 1.653513e-08, |df|=4.531392e-06\n",
      "k =  3250, f(x) = 1.652278e-08, |df|=3.666577e-06\n",
      "k =  3251, f(x) = 1.650642e-08, |df|=5.036286e-06\n",
      "k =  3252, f(x) = 1.649304e-08, |df|=3.870985e-06\n",
      "k =  3253, f(x) = 1.647848e-08, |df|=5.696232e-06\n",
      "k =  3254, f(x) = 1.646358e-08, |df|=4.153249e-06\n",
      "k =  3255, f(x) = 1.645040e-08, |df|=4.813867e-06\n",
      "k =  3256, f(x) = 1.643752e-08, |df|=3.775859e-06\n",
      "k =  3257, f(x) = 1.642225e-08, |df|=5.408738e-06\n",
      "k =  3258, f(x) = 1.640807e-08, |df|=4.024922e-06\n",
      "k =  3259, f(x) = 1.639505e-08, |df|=6.178069e-06\n",
      "k =  3260, f(x) = 1.637895e-08, |df|=4.365069e-06\n",
      "k =  3261, f(x) = 1.636700e-08, |df|=3.592133e-06\n",
      "k =  3262, f(x) = 1.635032e-08, |df|=4.820963e-06\n",
      "k =  3263, f(x) = 1.633747e-08, |df|=3.773271e-06\n",
      "k =  3264, f(x) = 1.632237e-08, |df|=5.420621e-06\n",
      "k =  3265, f(x) = 1.630821e-08, |df|=4.024914e-06\n",
      "k =  3266, f(x) = 1.629539e-08, |df|=6.195602e-06\n",
      "k =  3267, f(x) = 1.627929e-08, |df|=4.368320e-06\n",
      "k =  3268, f(x) = 1.626737e-08, |df|=3.587646e-06\n",
      "k =  3269, f(x) = 1.625085e-08, |df|=4.828219e-06\n",
      "k =  3270, f(x) = 1.623804e-08, |df|=3.770786e-06\n",
      "k =  3271, f(x) = 1.622310e-08, |df|=5.432684e-06\n",
      "k =  3272, f(x) = 1.620896e-08, |df|=4.025026e-06\n",
      "k =  3273, f(x) = 1.619633e-08, |df|=6.213337e-06\n",
      "k =  3274, f(x) = 1.618023e-08, |df|=4.371712e-06\n",
      "k =  3275, f(x) = 1.616836e-08, |df|=3.583245e-06\n",
      "k =  3276, f(x) = 1.615199e-08, |df|=4.835637e-06\n",
      "k =  3277, f(x) = 1.613921e-08, |df|=3.768403e-06\n",
      "k =  3278, f(x) = 1.612444e-08, |df|=5.444928e-06\n",
      "k =  3279, f(x) = 1.611032e-08, |df|=4.025261e-06\n",
      "k =  3280, f(x) = 1.609788e-08, |df|=6.231273e-06\n",
      "k =  3281, f(x) = 1.608178e-08, |df|=4.375246e-06\n",
      "k =  3282, f(x) = 1.606995e-08, |df|=3.578931e-06\n",
      "k =  3283, f(x) = 1.605373e-08, |df|=4.843216e-06\n",
      "k =  3284, f(x) = 1.604098e-08, |df|=3.766123e-06\n",
      "k =  3285, f(x) = 1.602638e-08, |df|=5.457354e-06\n",
      "k =  3286, f(x) = 1.601228e-08, |df|=4.025617e-06\n",
      "k =  3287, f(x) = 1.600003e-08, |df|=6.249411e-06\n",
      "k =  3288, f(x) = 1.598393e-08, |df|=4.378921e-06\n",
      "k =  3289, f(x) = 1.597213e-08, |df|=3.574703e-06\n",
      "k =  3290, f(x) = 1.595608e-08, |df|=4.850957e-06\n",
      "k =  3291, f(x) = 1.594335e-08, |df|=3.763947e-06\n",
      "k =  3292, f(x) = 1.592893e-08, |df|=5.469961e-06\n",
      "k =  3293, f(x) = 1.591483e-08, |df|=4.026096e-06\n",
      "k =  3294, f(x) = 1.590278e-08, |df|=6.267751e-06\n",
      "k =  3295, f(x) = 1.588667e-08, |df|=4.382739e-06\n",
      "k =  3296, f(x) = 1.587492e-08, |df|=3.570562e-06\n",
      "k =  3297, f(x) = 1.585901e-08, |df|=4.858859e-06\n",
      "k =  3298, f(x) = 1.584632e-08, |df|=3.761875e-06\n",
      "k =  3299, f(x) = 1.583206e-08, |df|=5.482750e-06\n",
      "k =  3300, f(x) = 1.581799e-08, |df|=4.026698e-06\n",
      "k =  3301, f(x) = 1.580612e-08, |df|=6.286293e-06\n",
      "k =  3302, f(x) = 1.579001e-08, |df|=4.386699e-06\n",
      "k =  3303, f(x) = 1.577830e-08, |df|=3.566509e-06\n",
      "k =  3304, f(x) = 1.576255e-08, |df|=4.866925e-06\n",
      "k =  3305, f(x) = 1.574988e-08, |df|=3.759907e-06\n",
      "k =  3306, f(x) = 1.573579e-08, |df|=5.495721e-06\n",
      "k =  3307, f(x) = 1.572173e-08, |df|=4.027423e-06\n",
      "k =  3308, f(x) = 1.571006e-08, |df|=6.305038e-06\n",
      "k =  3309, f(x) = 1.569394e-08, |df|=4.390802e-06\n",
      "k =  3310, f(x) = 1.568227e-08, |df|=3.562543e-06\n",
      "k =  3311, f(x) = 1.566667e-08, |df|=4.875153e-06\n",
      "k =  3312, f(x) = 1.565403e-08, |df|=3.758044e-06\n",
      "k =  3313, f(x) = 1.564011e-08, |df|=5.508875e-06\n",
      "k =  3314, f(x) = 1.562606e-08, |df|=4.028272e-06\n",
      "k =  3315, f(x) = 1.561458e-08, |df|=6.323986e-06\n",
      "k =  3316, f(x) = 1.559846e-08, |df|=4.395049e-06\n",
      "k =  3317, f(x) = 1.558682e-08, |df|=3.558666e-06\n",
      "k =  3318, f(x) = 1.557137e-08, |df|=4.883544e-06\n",
      "k =  3319, f(x) = 1.555876e-08, |df|=3.756287e-06\n",
      "k =  3320, f(x) = 1.554501e-08, |df|=5.522211e-06\n",
      "k =  3321, f(x) = 1.553098e-08, |df|=4.029245e-06\n",
      "k =  3322, f(x) = 1.551854e-08, |df|=4.668312e-06\n",
      "k =  3323, f(x) = 1.550640e-08, |df|=3.664286e-06\n",
      "k =  3324, f(x) = 1.549197e-08, |df|=5.243949e-06\n",
      "k =  3325, f(x) = 1.547861e-08, |df|=3.905115e-06\n",
      "k =  3326, f(x) = 1.546631e-08, |df|=5.988576e-06\n",
      "k =  3327, f(x) = 1.545115e-08, |df|=4.234099e-06\n",
      "k =  3328, f(x) = 1.543988e-08, |df|=3.486632e-06\n",
      "k =  3329, f(x) = 1.542414e-08, |df|=4.675146e-06\n",
      "k =  3330, f(x) = 1.541203e-08, |df|=3.661743e-06\n",
      "k =  3331, f(x) = 1.539776e-08, |df|=5.255420e-06\n",
      "k =  3332, f(x) = 1.538442e-08, |df|=3.905068e-06\n",
      "k =  3333, f(x) = 1.537230e-08, |df|=6.005523e-06\n",
      "k =  3334, f(x) = 1.535714e-08, |df|=4.237208e-06\n",
      "k =  3335, f(x) = 1.534591e-08, |df|=3.482251e-06\n",
      "k =  3336, f(x) = 1.533032e-08, |df|=4.682135e-06\n",
      "k =  3337, f(x) = 1.531824e-08, |df|=3.659298e-06\n",
      "k =  3338, f(x) = 1.530413e-08, |df|=5.267067e-06\n",
      "k =  3339, f(x) = 1.529081e-08, |df|=3.905139e-06\n",
      "k =  3340, f(x) = 1.527886e-08, |df|=6.022665e-06\n",
      "k =  3341, f(x) = 1.526371e-08, |df|=4.240454e-06\n",
      "k =  3342, f(x) = 1.525252e-08, |df|=3.477954e-06\n",
      "k =  3343, f(x) = 1.523706e-08, |df|=4.689280e-06\n",
      "k =  3344, f(x) = 1.522502e-08, |df|=3.656954e-06\n",
      "k =  3345, f(x) = 1.521107e-08, |df|=5.278888e-06\n",
      "k =  3346, f(x) = 1.519777e-08, |df|=3.905327e-06\n",
      "k =  3347, f(x) = 1.518600e-08, |df|=6.040003e-06\n",
      "k =  3348, f(x) = 1.517084e-08, |df|=4.243837e-06\n",
      "k =  3349, f(x) = 1.515969e-08, |df|=3.473741e-06\n",
      "k =  3350, f(x) = 1.514438e-08, |df|=4.696582e-06\n",
      "k =  3351, f(x) = 1.513237e-08, |df|=3.654709e-06\n",
      "k =  3352, f(x) = 1.511858e-08, |df|=5.290886e-06\n",
      "k =  3353, f(x) = 1.510529e-08, |df|=3.905634e-06\n",
      "k =  3354, f(x) = 1.509370e-08, |df|=6.057537e-06\n",
      "k =  3355, f(x) = 1.507855e-08, |df|=4.247358e-06\n",
      "k =  3356, f(x) = 1.506743e-08, |df|=3.469611e-06\n",
      "k =  3357, f(x) = 1.505227e-08, |df|=4.704040e-06\n",
      "k =  3358, f(x) = 1.504028e-08, |df|=3.652564e-06\n",
      "k =  3359, f(x) = 1.502665e-08, |df|=5.303060e-06\n",
      "k =  3360, f(x) = 1.501338e-08, |df|=3.906059e-06\n",
      "k =  3361, f(x) = 1.500197e-08, |df|=6.075266e-06\n",
      "k =  3362, f(x) = 1.498681e-08, |df|=4.251017e-06\n",
      "k =  3363, f(x) = 1.497574e-08, |df|=3.465566e-06\n",
      "k =  3364, f(x) = 1.496072e-08, |df|=4.711656e-06\n",
      "k =  3365, f(x) = 1.494876e-08, |df|=3.650520e-06\n",
      "k =  3366, f(x) = 1.493528e-08, |df|=5.315410e-06\n",
      "k =  3367, f(x) = 1.492203e-08, |df|=3.906604e-06\n",
      "k =  3368, f(x) = 1.491080e-08, |df|=6.093192e-06\n",
      "k =  3369, f(x) = 1.489564e-08, |df|=4.254813e-06\n",
      "k =  3370, f(x) = 1.488460e-08, |df|=3.461605e-06\n",
      "k =  3371, f(x) = 1.486972e-08, |df|=4.719429e-06\n",
      "k =  3372, f(x) = 1.485779e-08, |df|=3.648578e-06\n",
      "k =  3373, f(x) = 1.484448e-08, |df|=5.327937e-06\n",
      "k =  3374, f(x) = 1.483124e-08, |df|=3.907268e-06\n",
      "k =  3375, f(x) = 1.482019e-08, |df|=6.111314e-06\n",
      "k =  3376, f(x) = 1.480502e-08, |df|=4.258749e-06\n",
      "k =  3377, f(x) = 1.479402e-08, |df|=3.457730e-06\n",
      "k =  3378, f(x) = 1.477929e-08, |df|=4.727360e-06\n",
      "k =  3379, f(x) = 1.476738e-08, |df|=3.646737e-06\n",
      "k =  3380, f(x) = 1.475423e-08, |df|=5.340641e-06\n",
      "k =  3381, f(x) = 1.474100e-08, |df|=3.908052e-06\n",
      "k =  3382, f(x) = 1.473013e-08, |df|=6.129633e-06\n",
      "k =  3383, f(x) = 1.471496e-08, |df|=4.262823e-06\n",
      "k =  3384, f(x) = 1.470399e-08, |df|=3.453939e-06\n",
      "k =  3385, f(x) = 1.468940e-08, |df|=4.735450e-06\n",
      "k =  3386, f(x) = 1.467753e-08, |df|=3.644998e-06\n",
      "k =  3387, f(x) = 1.466453e-08, |df|=5.353522e-06\n",
      "k =  3388, f(x) = 1.465131e-08, |df|=3.908957e-06\n",
      "k =  3389, f(x) = 1.463957e-08, |df|=4.527174e-06\n",
      "k =  3390, f(x) = 1.462814e-08, |df|=3.556020e-06\n",
      "k =  3391, f(x) = 1.461450e-08, |df|=5.084197e-06\n",
      "k =  3392, f(x) = 1.460192e-08, |df|=3.788886e-06\n",
      "k =  3393, f(x) = 1.459028e-08, |df|=5.804910e-06\n",
      "k =  3394, f(x) = 1.457601e-08, |df|=4.107072e-06\n",
      "k =  3395, f(x) = 1.456539e-08, |df|=3.384238e-06\n",
      "k =  3396, f(x) = 1.455053e-08, |df|=4.533754e-06\n",
      "k =  3397, f(x) = 1.453912e-08, |df|=3.553521e-06\n",
      "k =  3398, f(x) = 1.452564e-08, |df|=5.095270e-06\n",
      "k =  3399, f(x) = 1.451308e-08, |df|=3.788803e-06\n",
      "k =  3400, f(x) = 1.450161e-08, |df|=5.821291e-06\n",
      "k =  3401, f(x) = 1.448734e-08, |df|=4.110046e-06\n",
      "k =  3402, f(x) = 1.447676e-08, |df|=3.379961e-06\n",
      "k =  3403, f(x) = 1.446203e-08, |df|=4.540485e-06\n",
      "k =  3404, f(x) = 1.445066e-08, |df|=3.551118e-06\n",
      "k =  3405, f(x) = 1.443732e-08, |df|=5.106514e-06\n",
      "k =  3406, f(x) = 1.442478e-08, |df|=3.788834e-06\n",
      "k =  3407, f(x) = 1.441348e-08, |df|=5.837861e-06\n",
      "k =  3408, f(x) = 1.439921e-08, |df|=4.113151e-06\n",
      "k =  3409, f(x) = 1.438867e-08, |df|=3.375766e-06\n",
      "k =  3410, f(x) = 1.437407e-08, |df|=4.547368e-06\n",
      "k =  3411, f(x) = 1.436273e-08, |df|=3.548811e-06\n",
      "k =  3412, f(x) = 1.434955e-08, |df|=5.117928e-06\n",
      "k =  3413, f(x) = 1.433702e-08, |df|=3.788979e-06\n",
      "k =  3414, f(x) = 1.432588e-08, |df|=5.854620e-06\n",
      "k =  3415, f(x) = 1.431162e-08, |df|=4.116390e-06\n",
      "k =  3416, f(x) = 1.430111e-08, |df|=3.371651e-06\n",
      "k =  3417, f(x) = 1.428665e-08, |df|=4.554402e-06\n",
      "k =  3418, f(x) = 1.427534e-08, |df|=3.546601e-06\n",
      "k =  3419, f(x) = 1.426230e-08, |df|=5.129512e-06\n",
      "k =  3420, f(x) = 1.424979e-08, |df|=3.789239e-06\n",
      "k =  3421, f(x) = 1.423883e-08, |df|=5.871569e-06\n",
      "k =  3422, f(x) = 1.422456e-08, |df|=4.119762e-06\n",
      "k =  3423, f(x) = 1.421409e-08, |df|=3.367617e-06\n",
      "k =  3424, f(x) = 1.419977e-08, |df|=4.561589e-06\n",
      "k =  3425, f(x) = 1.418848e-08, |df|=3.544488e-06\n",
      "k =  3426, f(x) = 1.417559e-08, |df|=5.141267e-06\n",
      "k =  3427, f(x) = 1.416310e-08, |df|=3.789614e-06\n",
      "k =  3428, f(x) = 1.415230e-08, |df|=5.888708e-06\n",
      "k =  3429, f(x) = 1.413803e-08, |df|=4.123267e-06\n",
      "k =  3430, f(x) = 1.412760e-08, |df|=3.363665e-06\n",
      "k =  3431, f(x) = 1.411341e-08, |df|=4.568928e-06\n",
      "k =  3432, f(x) = 1.410215e-08, |df|=3.542473e-06\n",
      "k =  3433, f(x) = 1.408941e-08, |df|=5.153194e-06\n",
      "k =  3434, f(x) = 1.407693e-08, |df|=3.790105e-06\n",
      "k =  3435, f(x) = 1.406631e-08, |df|=5.906037e-06\n",
      "k =  3436, f(x) = 1.405204e-08, |df|=4.126907e-06\n",
      "k =  3437, f(x) = 1.404163e-08, |df|=3.359796e-06\n",
      "k =  3438, f(x) = 1.402758e-08, |df|=4.576419e-06\n",
      "k =  3439, f(x) = 1.401635e-08, |df|=3.540556e-06\n",
      "k =  3440, f(x) = 1.400376e-08, |df|=5.165291e-06\n",
      "k =  3441, f(x) = 1.399129e-08, |df|=3.790711e-06\n",
      "k =  3442, f(x) = 1.398084e-08, |df|=5.923557e-06\n",
      "k =  3443, f(x) = 1.396656e-08, |df|=4.130681e-06\n",
      "k =  3444, f(x) = 1.395619e-08, |df|=3.356008e-06\n",
      "k =  3445, f(x) = 1.394228e-08, |df|=4.584064e-06\n",
      "k =  3446, f(x) = 1.393107e-08, |df|=3.538738e-06\n",
      "k =  3447, f(x) = 1.391863e-08, |df|=5.177560e-06\n",
      "k =  3448, f(x) = 1.390618e-08, |df|=3.791433e-06\n",
      "k =  3449, f(x) = 1.389589e-08, |df|=5.941268e-06\n",
      "k =  3450, f(x) = 1.388161e-08, |df|=4.134590e-06\n",
      "k =  3451, f(x) = 1.387128e-08, |df|=3.352304e-06\n",
      "k =  3452, f(x) = 1.385750e-08, |df|=4.591862e-06\n",
      "k =  3453, f(x) = 1.384631e-08, |df|=3.537018e-06\n",
      "k =  3454, f(x) = 1.383402e-08, |df|=5.190001e-06\n",
      "k =  3455, f(x) = 1.382158e-08, |df|=3.792272e-06\n",
      "k =  3456, f(x) = 1.381147e-08, |df|=5.959170e-06\n",
      "k =  3457, f(x) = 1.379718e-08, |df|=4.138634e-06\n",
      "k =  3458, f(x) = 1.378688e-08, |df|=3.348682e-06\n",
      "k =  3459, f(x) = 1.377323e-08, |df|=4.599813e-06\n",
      "k =  3460, f(x) = 1.376207e-08, |df|=3.535398e-06\n",
      "k =  3461, f(x) = 1.374993e-08, |df|=5.202614e-06\n",
      "k =  3462, f(x) = 1.373750e-08, |df|=3.793228e-06\n",
      "k =  3463, f(x) = 1.372651e-08, |df|=4.396653e-06\n",
      "k =  3464, f(x) = 1.371577e-08, |df|=3.448508e-06\n",
      "k =  3465, f(x) = 1.370303e-08, |df|=4.940016e-06\n",
      "k =  3466, f(x) = 1.369120e-08, |df|=3.676012e-06\n",
      "k =  3467, f(x) = 1.368035e-08, |df|=5.642725e-06\n",
      "k =  3468, f(x) = 1.366692e-08, |df|=3.986713e-06\n",
      "k =  3469, f(x) = 1.365694e-08, |df|=3.280684e-06\n",
      "k =  3470, f(x) = 1.364304e-08, |df|=4.403136e-06\n",
      "k =  3471, f(x) = 1.363232e-08, |df|=3.446145e-06\n",
      "k =  3472, f(x) = 1.361972e-08, |df|=4.950871e-06\n",
      "k =  3473, f(x) = 1.360791e-08, |df|=3.676005e-06\n",
      "k =  3474, f(x) = 1.359722e-08, |df|=5.658741e-06\n",
      "k =  3475, f(x) = 1.358379e-08, |df|=3.989684e-06\n",
      "k =  3476, f(x) = 1.357385e-08, |df|=3.276587e-06\n",
      "k =  3477, f(x) = 1.356007e-08, |df|=4.409765e-06\n",
      "k =  3478, f(x) = 1.354938e-08, |df|=3.443876e-06\n",
      "k =  3479, f(x) = 1.353693e-08, |df|=4.961890e-06\n",
      "k =  3480, f(x) = 1.352513e-08, |df|=3.676110e-06\n",
      "k =  3481, f(x) = 1.351460e-08, |df|=5.674941e-06\n",
      "k =  3482, f(x) = 1.350117e-08, |df|=3.992784e-06\n",
      "k =  3483, f(x) = 1.349126e-08, |df|=3.272569e-06\n",
      "k =  3484, f(x) = 1.347761e-08, |df|=4.416542e-06\n",
      "k =  3485, f(x) = 1.346695e-08, |df|=3.441701e-06\n",
      "k =  3486, f(x) = 1.345464e-08, |df|=4.973075e-06\n",
      "k =  3487, f(x) = 1.344285e-08, |df|=3.676326e-06\n",
      "k =  3488, f(x) = 1.343248e-08, |df|=5.691325e-06\n",
      "k =  3489, f(x) = 1.341905e-08, |df|=3.996013e-06\n",
      "k =  3490, f(x) = 1.340918e-08, |df|=3.268630e-06\n",
      "k =  3491, f(x) = 1.339566e-08, |df|=4.423466e-06\n",
      "k =  3492, f(x) = 1.338502e-08, |df|=3.439620e-06\n",
      "k =  3493, f(x) = 1.337285e-08, |df|=4.984426e-06\n",
      "k =  3494, f(x) = 1.336108e-08, |df|=3.676653e-06\n",
      "k =  3495, f(x) = 1.335087e-08, |df|=5.707893e-06\n",
      "k =  3496, f(x) = 1.333744e-08, |df|=3.999371e-06\n",
      "k =  3497, f(x) = 1.332760e-08, |df|=3.264770e-06\n",
      "k =  3498, f(x) = 1.331421e-08, |df|=4.430538e-06\n",
      "k =  3499, f(x) = 1.330359e-08, |df|=3.437634e-06\n",
      "k =  3500, f(x) = 1.329156e-08, |df|=4.995943e-06\n",
      "k =  3501, f(x) = 1.327981e-08, |df|=3.677092e-06\n",
      "k =  3502, f(x) = 1.326975e-08, |df|=5.724646e-06\n",
      "k =  3503, f(x) = 1.325632e-08, |df|=4.002860e-06\n",
      "k =  3504, f(x) = 1.324652e-08, |df|=3.260989e-06\n",
      "k =  3505, f(x) = 1.323325e-08, |df|=4.437757e-06\n",
      "k =  3506, f(x) = 1.322266e-08, |df|=3.435743e-06\n",
      "k =  3507, f(x) = 1.321077e-08, |df|=5.007625e-06\n",
      "k =  3508, f(x) = 1.319903e-08, |df|=3.677643e-06\n",
      "k =  3509, f(x) = 1.318914e-08, |df|=5.741583e-06\n",
      "k =  3510, f(x) = 1.317570e-08, |df|=4.006478e-06\n",
      "k =  3511, f(x) = 1.316593e-08, |df|=3.257288e-06\n",
      "k =  3512, f(x) = 1.315279e-08, |df|=4.445126e-06\n",
      "k =  3513, f(x) = 1.314223e-08, |df|=3.433947e-06\n",
      "k =  3514, f(x) = 1.313047e-08, |df|=5.019474e-06\n",
      "k =  3515, f(x) = 1.311875e-08, |df|=3.678306e-06\n",
      "k =  3516, f(x) = 1.310901e-08, |df|=5.758706e-06\n",
      "k =  3517, f(x) = 1.309557e-08, |df|=4.010228e-06\n",
      "k =  3518, f(x) = 1.308583e-08, |df|=3.253667e-06\n",
      "k =  3519, f(x) = 1.307282e-08, |df|=4.452642e-06\n",
      "k =  3520, f(x) = 1.306228e-08, |df|=3.432247e-06\n",
      "k =  3521, f(x) = 1.305067e-08, |df|=5.031490e-06\n",
      "k =  3522, f(x) = 1.303895e-08, |df|=3.679083e-06\n",
      "k =  3523, f(x) = 1.302938e-08, |df|=5.776014e-06\n",
      "k =  3524, f(x) = 1.301593e-08, |df|=4.014108e-06\n",
      "k =  3525, f(x) = 1.300622e-08, |df|=3.250127e-06\n",
      "k =  3526, f(x) = 1.299334e-08, |df|=4.460308e-06\n",
      "k =  3527, f(x) = 1.298282e-08, |df|=3.430643e-06\n",
      "k =  3528, f(x) = 1.297135e-08, |df|=5.043673e-06\n",
      "k =  3529, f(x) = 1.295964e-08, |df|=3.679974e-06\n",
      "k =  3530, f(x) = 1.294927e-08, |df|=4.263713e-06\n",
      "k =  3531, f(x) = 1.293915e-08, |df|=3.346607e-06\n",
      "k =  3532, f(x) = 1.292711e-08, |df|=4.789507e-06\n",
      "k =  3533, f(x) = 1.291597e-08, |df|=3.566590e-06\n",
      "k =  3534, f(x) = 1.290570e-08, |df|=5.469652e-06\n",
      "k =  3535, f(x) = 1.289306e-08, |df|=3.867094e-06\n",
      "k =  3536, f(x) = 1.288366e-08, |df|=3.184330e-06\n",
      "k =  3537, f(x) = 1.287053e-08, |df|=4.269956e-06\n",
      "k =  3538, f(x) = 1.286044e-08, |df|=3.344285e-06\n",
      "k =  3539, f(x) = 1.284853e-08, |df|=4.799986e-06\n",
      "k =  3540, f(x) = 1.283741e-08, |df|=3.566549e-06\n",
      "k =  3541, f(x) = 1.282729e-08, |df|=5.485133e-06\n",
      "k =  3542, f(x) = 1.281465e-08, |df|=3.869936e-06\n",
      "k =  3543, f(x) = 1.280529e-08, |df|=3.180331e-06\n",
      "k =  3544, f(x) = 1.279228e-08, |df|=4.276341e-06\n",
      "k =  3545, f(x) = 1.278221e-08, |df|=3.342054e-06\n",
      "k =  3546, f(x) = 1.277044e-08, |df|=4.810625e-06\n",
      "k =  3547, f(x) = 1.275933e-08, |df|=3.566615e-06\n",
      "k =  3548, f(x) = 1.274936e-08, |df|=5.500791e-06\n",
      "k =  3549, f(x) = 1.273672e-08, |df|=3.872902e-06\n",
      "k =  3550, f(x) = 1.272739e-08, |df|=3.176407e-06\n",
      "k =  3551, f(x) = 1.271450e-08, |df|=4.282869e-06\n",
      "k =  3552, f(x) = 1.270445e-08, |df|=3.339914e-06\n",
      "k =  3553, f(x) = 1.269282e-08, |df|=4.821424e-06\n",
      "k =  3554, f(x) = 1.268172e-08, |df|=3.566788e-06\n",
      "k =  3555, f(x) = 1.267191e-08, |df|=5.516629e-06\n",
      "k =  3556, f(x) = 1.265927e-08, |df|=3.875994e-06\n",
      "k =  3557, f(x) = 1.264997e-08, |df|=3.172560e-06\n",
      "k =  3558, f(x) = 1.263720e-08, |df|=4.289540e-06\n",
      "k =  3559, f(x) = 1.262718e-08, |df|=3.337865e-06\n",
      "k =  3560, f(x) = 1.261567e-08, |df|=4.832384e-06\n",
      "k =  3561, f(x) = 1.260459e-08, |df|=3.567070e-06\n",
      "k =  3562, f(x) = 1.259493e-08, |df|=5.532645e-06\n",
      "k =  3563, f(x) = 1.258228e-08, |df|=3.879211e-06\n",
      "k =  3564, f(x) = 1.257301e-08, |df|=3.168790e-06\n",
      "k =  3565, f(x) = 1.256037e-08, |df|=4.296354e-06\n",
      "k =  3566, f(x) = 1.255037e-08, |df|=3.335908e-06\n",
      "k =  3567, f(x) = 1.253900e-08, |df|=4.843505e-06\n",
      "k =  3568, f(x) = 1.252793e-08, |df|=3.567460e-06\n",
      "k =  3569, f(x) = 1.251842e-08, |df|=5.548840e-06\n",
      "k =  3570, f(x) = 1.250577e-08, |df|=3.882554e-06\n",
      "k =  3571, f(x) = 1.249653e-08, |df|=3.165096e-06\n",
      "k =  3572, f(x) = 1.248401e-08, |df|=4.303311e-06\n",
      "k =  3573, f(x) = 1.247403e-08, |df|=3.334042e-06\n",
      "k =  3574, f(x) = 1.246279e-08, |df|=4.854787e-06\n",
      "k =  3575, f(x) = 1.245174e-08, |df|=3.567959e-06\n",
      "k =  3576, f(x) = 1.244238e-08, |df|=5.565214e-06\n",
      "k =  3577, f(x) = 1.242973e-08, |df|=3.886024e-06\n",
      "k =  3578, f(x) = 1.242052e-08, |df|=3.161480e-06\n",
      "k =  3579, f(x) = 1.240811e-08, |df|=4.310413e-06\n",
      "k =  3580, f(x) = 1.239816e-08, |df|=3.332270e-06\n",
      "k =  3581, f(x) = 1.238706e-08, |df|=4.866230e-06\n",
      "k =  3582, f(x) = 1.237601e-08, |df|=3.568567e-06\n",
      "k =  3583, f(x) = 1.236680e-08, |df|=5.581768e-06\n",
      "k =  3584, f(x) = 1.235415e-08, |df|=3.889620e-06\n",
      "k =  3585, f(x) = 1.234497e-08, |df|=3.157941e-06\n",
      "k =  3586, f(x) = 1.233268e-08, |df|=4.317658e-06\n",
      "k =  3587, f(x) = 1.232275e-08, |df|=3.330590e-06\n",
      "k =  3588, f(x) = 1.231178e-08, |df|=4.877835e-06\n",
      "k =  3589, f(x) = 1.230075e-08, |df|=3.569285e-06\n",
      "k =  3590, f(x) = 1.229168e-08, |df|=5.598501e-06\n",
      "k =  3591, f(x) = 1.227903e-08, |df|=3.893343e-06\n",
      "k =  3592, f(x) = 1.226988e-08, |df|=3.154481e-06\n",
      "k =  3593, f(x) = 1.225771e-08, |df|=4.325048e-06\n",
      "k =  3594, f(x) = 1.224780e-08, |df|=3.329003e-06\n",
      "k =  3595, f(x) = 1.223696e-08, |df|=4.889601e-06\n",
      "k =  3596, f(x) = 1.222594e-08, |df|=3.570112e-06\n",
      "k =  3597, f(x) = 1.221615e-08, |df|=4.134807e-06\n",
      "k =  3598, f(x) = 1.220661e-08, |df|=3.247727e-06\n",
      "k =  3599, f(x) = 1.219524e-08, |df|=4.643599e-06\n",
      "k =  3600, f(x) = 1.218475e-08, |df|=3.460436e-06\n",
      "k =  3601, f(x) = 1.217504e-08, |df|=5.301901e-06\n",
      "k =  3602, f(x) = 1.216314e-08, |df|=3.751078e-06\n",
      "k =  3603, f(x) = 1.215428e-08, |df|=3.090814e-06\n",
      "k =  3604, f(x) = 1.214188e-08, |df|=4.140818e-06\n",
      "k =  3605, f(x) = 1.213237e-08, |df|=3.245446e-06\n",
      "k =  3606, f(x) = 1.212112e-08, |df|=4.653714e-06\n",
      "k =  3607, f(x) = 1.211064e-08, |df|=3.460362e-06\n",
      "k =  3608, f(x) = 1.210108e-08, |df|=5.316864e-06\n",
      "k =  3609, f(x) = 1.208918e-08, |df|=3.753795e-06\n",
      "k =  3610, f(x) = 1.208035e-08, |df|=3.086910e-06\n",
      "k =  3611, f(x) = 1.206807e-08, |df|=4.146968e-06\n",
      "k =  3612, f(x) = 1.205858e-08, |df|=3.243252e-06\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "k =  3613, f(x) = 1.204746e-08, |df|=4.663985e-06\n",
      "k =  3614, f(x) = 1.203700e-08, |df|=3.460392e-06\n",
      "k =  3615, f(x) = 1.202757e-08, |df|=5.332000e-06\n",
      "k =  3616, f(x) = 1.201567e-08, |df|=3.756633e-06\n",
      "k =  3617, f(x) = 1.200687e-08, |df|=3.083079e-06\n",
      "k =  3618, f(x) = 1.199470e-08, |df|=4.153256e-06\n",
      "k =  3619, f(x) = 1.198524e-08, |df|=3.241147e-06\n",
      "k =  3620, f(x) = 1.197425e-08, |df|=4.674412e-06\n",
      "k =  3621, f(x) = 1.196380e-08, |df|=3.460526e-06\n",
      "k =  3622, f(x) = 1.195451e-08, |df|=5.347309e-06\n",
      "k =  3623, f(x) = 1.194261e-08, |df|=3.759593e-06\n",
      "k =  3624, f(x) = 1.193385e-08, |df|=3.079322e-06\n",
      "k =  3625, f(x) = 1.192179e-08, |df|=4.159682e-06\n",
      "k =  3626, f(x) = 1.191235e-08, |df|=3.239130e-06\n",
      "k =  3627, f(x) = 1.190148e-08, |df|=4.684994e-06\n",
      "k =  3628, f(x) = 1.189104e-08, |df|=3.460765e-06\n",
      "k =  3629, f(x) = 1.188190e-08, |df|=5.362791e-06\n",
      "k =  3630, f(x) = 1.187000e-08, |df|=3.762674e-06\n",
      "k =  3631, f(x) = 1.186126e-08, |df|=3.075639e-06\n",
      "k =  3632, f(x) = 1.184932e-08, |df|=4.166248e-06\n",
      "k =  3633, f(x) = 1.183990e-08, |df|=3.237201e-06\n",
      "k =  3634, f(x) = 1.182916e-08, |df|=4.695733e-06\n",
      "k =  3635, f(x) = 1.181873e-08, |df|=3.461109e-06\n",
      "k =  3636, f(x) = 1.180973e-08, |df|=5.378447e-06\n",
      "k =  3637, f(x) = 1.179783e-08, |df|=3.765878e-06\n",
      "k =  3638, f(x) = 1.178912e-08, |df|=3.072031e-06\n",
      "k =  3639, f(x) = 1.177729e-08, |df|=4.172952e-06\n",
      "k =  3640, f(x) = 1.176790e-08, |df|=3.235362e-06\n",
      "k =  3641, f(x) = 1.175728e-08, |df|=4.706627e-06\n",
      "k =  3642, f(x) = 1.174687e-08, |df|=3.461558e-06\n",
      "k =  3643, f(x) = 1.173801e-08, |df|=5.394276e-06\n",
      "k =  3644, f(x) = 1.172610e-08, |df|=3.769203e-06\n",
      "k =  3645, f(x) = 1.171742e-08, |df|=3.068497e-06\n",
      "k =  3646, f(x) = 1.170571e-08, |df|=4.179797e-06\n",
      "k =  3647, f(x) = 1.169633e-08, |df|=3.233613e-06\n",
      "k =  3648, f(x) = 1.168584e-08, |df|=4.717678e-06\n",
      "k =  3649, f(x) = 1.167544e-08, |df|=3.462113e-06\n",
      "k =  3650, f(x) = 1.166672e-08, |df|=5.410280e-06\n",
      "k =  3651, f(x) = 1.165481e-08, |df|=3.772652e-06\n",
      "k =  3652, f(x) = 1.164616e-08, |df|=3.065039e-06\n",
      "k =  3653, f(x) = 1.163456e-08, |df|=4.186780e-06\n",
      "k =  3654, f(x) = 1.162521e-08, |df|=3.231953e-06\n",
      "k =  3655, f(x) = 1.161483e-08, |df|=4.728886e-06\n",
      "k =  3656, f(x) = 1.160445e-08, |df|=3.462775e-06\n",
      "k =  3657, f(x) = 1.159587e-08, |df|=5.426458e-06\n",
      "k =  3658, f(x) = 1.158396e-08, |df|=3.776224e-06\n",
      "k =  3659, f(x) = 1.157534e-08, |df|=3.061657e-06\n",
      "k =  3660, f(x) = 1.156384e-08, |df|=4.193904e-06\n",
      "k =  3661, f(x) = 1.155451e-08, |df|=3.230384e-06\n",
      "k =  3662, f(x) = 1.154426e-08, |df|=4.740251e-06\n",
      "k =  3663, f(x) = 1.153389e-08, |df|=3.463542e-06\n",
      "k =  3664, f(x) = 1.152545e-08, |df|=5.442810e-06\n",
      "k =  3665, f(x) = 1.151353e-08, |df|=3.779919e-06\n",
      "k =  3666, f(x) = 1.150494e-08, |df|=3.058351e-06\n",
      "k =  3667, f(x) = 1.149356e-08, |df|=4.201169e-06\n",
      "k =  3668, f(x) = 1.148425e-08, |df|=3.228905e-06\n",
      "k =  3669, f(x) = 1.147413e-08, |df|=4.751772e-06\n",
      "k =  3670, f(x) = 1.146376e-08, |df|=3.464417e-06\n",
      "k =  3671, f(x) = 1.145459e-08, |df|=4.015600e-06\n",
      "k =  3672, f(x) = 1.144563e-08, |df|=3.149537e-06\n",
      "k =  3673, f(x) = 1.143500e-08, |df|=4.511914e-06\n",
      "k =  3674, f(x) = 1.142514e-08, |df|=3.357348e-06\n",
      "k =  3675, f(x) = 1.141609e-08, |df|=5.153771e-06\n",
      "k =  3676, f(x) = 1.140488e-08, |df|=3.641152e-06\n",
      "k =  3677, f(x) = 1.139657e-08, |df|=2.996240e-06\n",
      "k =  3678, f(x) = 1.138497e-08, |df|=4.021522e-06\n",
      "k =  3679, f(x) = 1.137603e-08, |df|=3.147380e-06\n",
      "k =  3680, f(x) = 1.136552e-08, |df|=4.521830e-06\n",
      "k =  3681, f(x) = 1.135567e-08, |df|=3.357344e-06\n",
      "k =  3682, f(x) = 1.134675e-08, |df|=5.168401e-06\n",
      "k =  3683, f(x) = 1.133555e-08, |df|=3.643868e-06\n",
      "k =  3684, f(x) = 1.132726e-08, |df|=2.992500e-06\n",
      "k =  3685, f(x) = 1.131577e-08, |df|=4.027579e-06\n",
      "k =  3686, f(x) = 1.130685e-08, |df|=3.145309e-06\n",
      "k =  3687, f(x) = 1.129646e-08, |df|=4.531896e-06\n",
      "k =  3688, f(x) = 1.128662e-08, |df|=3.357441e-06\n",
      "k =  3689, f(x) = 1.127784e-08, |df|=5.183199e-06\n",
      "k =  3690, f(x) = 1.126664e-08, |df|=3.646700e-06\n",
      "k =  3691, f(x) = 1.125838e-08, |df|=2.988831e-06\n",
      "k =  3692, f(x) = 1.124699e-08, |df|=4.033770e-06\n",
      "k =  3693, f(x) = 1.123810e-08, |df|=3.143324e-06\n",
      "k =  3694, f(x) = 1.122783e-08, |df|=4.542114e-06\n",
      "k =  3695, f(x) = 1.121800e-08, |df|=3.357639e-06\n",
      "k =  3696, f(x) = 1.120935e-08, |df|=5.198165e-06\n",
      "k =  3697, f(x) = 1.119815e-08, |df|=3.649651e-06\n",
      "k =  3698, f(x) = 1.118991e-08, |df|=2.985234e-06\n",
      "k =  3699, f(x) = 1.117864e-08, |df|=4.040095e-06\n",
      "k =  3700, f(x) = 1.116976e-08, |df|=3.141425e-06\n",
      "k =  3701, f(x) = 1.115961e-08, |df|=4.552483e-06\n",
      "k =  3702, f(x) = 1.114980e-08, |df|=3.357939e-06\n",
      "k =  3703, f(x) = 1.114128e-08, |df|=5.213299e-06\n",
      "k =  3704, f(x) = 1.113007e-08, |df|=3.652720e-06\n",
      "k =  3705, f(x) = 1.112187e-08, |df|=2.981709e-06\n",
      "k =  3706, f(x) = 1.111070e-08, |df|=4.046556e-06\n",
      "k =  3707, f(x) = 1.110185e-08, |df|=3.139612e-06\n",
      "k =  3708, f(x) = 1.109181e-08, |df|=4.563003e-06\n",
      "k =  3709, f(x) = 1.108201e-08, |df|=3.358342e-06\n",
      "k =  3710, f(x) = 1.107362e-08, |df|=5.228602e-06\n",
      "k =  3711, f(x) = 1.106242e-08, |df|=3.655908e-06\n",
      "k =  3712, f(x) = 1.105424e-08, |df|=2.978257e-06\n",
      "k =  3713, f(x) = 1.104318e-08, |df|=4.053152e-06\n",
      "k =  3714, f(x) = 1.103435e-08, |df|=3.137886e-06\n",
      "k =  3715, f(x) = 1.102443e-08, |df|=4.573675e-06\n",
      "k =  3716, f(x) = 1.101463e-08, |df|=3.358846e-06\n",
      "k =  3717, f(x) = 1.100638e-08, |df|=5.244074e-06\n",
      "k =  3718, f(x) = 1.099517e-08, |df|=3.659214e-06\n",
      "k =  3719, f(x) = 1.098702e-08, |df|=2.974878e-06\n",
      "k =  3720, f(x) = 1.097606e-08, |df|=4.059883e-06\n",
      "k =  3721, f(x) = 1.096725e-08, |df|=3.136247e-06\n",
      "k =  3722, f(x) = 1.095745e-08, |df|=4.584499e-06\n",
      "k =  3723, f(x) = 1.094767e-08, |df|=3.359454e-06\n",
      "k =  3724, f(x) = 1.093955e-08, |df|=5.259714e-06\n",
      "k =  3725, f(x) = 1.092834e-08, |df|=3.662640e-06\n",
      "k =  3726, f(x) = 1.092022e-08, |df|=2.971572e-06\n",
      "k =  3727, f(x) = 1.090936e-08, |df|=4.066750e-06\n",
      "k =  3728, f(x) = 1.090057e-08, |df|=3.134696e-06\n",
      "k =  3729, f(x) = 1.089089e-08, |df|=4.595475e-06\n",
      "k =  3730, f(x) = 1.088112e-08, |df|=3.360165e-06\n",
      "k =  3731, f(x) = 1.087313e-08, |df|=5.275524e-06\n",
      "k =  3732, f(x) = 1.086191e-08, |df|=3.666186e-06\n",
      "k =  3733, f(x) = 1.085382e-08, |df|=2.968340e-06\n",
      "k =  3734, f(x) = 1.084307e-08, |df|=4.073753e-06\n",
      "k =  3735, f(x) = 1.083430e-08, |df|=3.133232e-06\n",
      "k =  3736, f(x) = 1.082473e-08, |df|=4.606604e-06\n",
      "k =  3737, f(x) = 1.081497e-08, |df|=3.360980e-06\n",
      "k =  3738, f(x) = 1.080632e-08, |df|=3.894181e-06\n",
      "k =  3739, f(x) = 1.079787e-08, |df|=3.056471e-06\n",
      "k =  3740, f(x) = 1.078783e-08, |df|=4.374448e-06\n",
      "k =  3741, f(x) = 1.077854e-08, |df|=3.257412e-06\n",
      "k =  3742, f(x) = 1.076998e-08, |df|=4.995695e-06\n",
      "k =  3743, f(x) = 1.075944e-08, |df|=3.531902e-06\n",
      "k =  3744, f(x) = 1.075160e-08, |df|=2.908241e-06\n",
      "k =  3745, f(x) = 1.074064e-08, |df|=3.899885e-06\n",
      "k =  3746, f(x) = 1.073222e-08, |df|=3.054351e-06\n",
      "k =  3747, f(x) = 1.072230e-08, |df|=4.384020e-06\n",
      "k =  3748, f(x) = 1.071301e-08, |df|=3.257376e-06\n",
      "k =  3749, f(x) = 1.070458e-08, |df|=5.009836e-06\n",
      "k =  3750, f(x) = 1.069404e-08, |df|=3.534499e-06\n",
      "k =  3751, f(x) = 1.068622e-08, |df|=2.904589e-06\n",
      "k =  3752, f(x) = 1.067537e-08, |df|=3.905718e-06\n",
      "k =  3753, f(x) = 1.066697e-08, |df|=3.052315e-06\n",
      "k =  3754, f(x) = 1.065716e-08, |df|=4.393739e-06\n",
      "k =  3755, f(x) = 1.064789e-08, |df|=3.257437e-06\n",
      "k =  3756, f(x) = 1.063958e-08, |df|=5.024139e-06\n",
      "k =  3757, f(x) = 1.062904e-08, |df|=3.537210e-06\n",
      "k =  3758, f(x) = 1.062125e-08, |df|=2.901006e-06\n",
      "k =  3759, f(x) = 1.061050e-08, |df|=3.911682e-06\n",
      "k =  3760, f(x) = 1.060212e-08, |df|=3.050361e-06\n",
      "k =  3761, f(x) = 1.059242e-08, |df|=4.403604e-06\n",
      "k =  3762, f(x) = 1.058316e-08, |df|=3.257597e-06\n",
      "k =  3763, f(x) = 1.057498e-08, |df|=5.038606e-06\n",
      "k =  3764, f(x) = 1.056443e-08, |df|=3.540035e-06\n",
      "k =  3765, f(x) = 1.055667e-08, |df|=2.897494e-06\n",
      "k =  3766, f(x) = 1.054603e-08, |df|=3.917776e-06\n",
      "k =  3767, f(x) = 1.053767e-08, |df|=3.048491e-06\n",
      "k =  3768, f(x) = 1.052807e-08, |df|=4.413616e-06\n",
      "k =  3769, f(x) = 1.051883e-08, |df|=3.257856e-06\n",
      "k =  3770, f(x) = 1.051077e-08, |df|=5.053236e-06\n",
      "k =  3771, f(x) = 1.050022e-08, |df|=3.542975e-06\n",
      "k =  3772, f(x) = 1.049249e-08, |df|=2.894051e-06\n",
      "k =  3773, f(x) = 1.048194e-08, |df|=3.924001e-06\n",
      "k =  3774, f(x) = 1.047360e-08, |df|=3.046705e-06\n",
      "k =  3775, f(x) = 1.046412e-08, |df|=4.423775e-06\n",
      "k =  3776, f(x) = 1.045489e-08, |df|=3.258214e-06\n",
      "k =  3777, f(x) = 1.044695e-08, |df|=5.068029e-06\n",
      "k =  3778, f(x) = 1.043641e-08, |df|=3.546030e-06\n",
      "k =  3779, f(x) = 1.042870e-08, |df|=2.890678e-06\n",
      "k =  3780, f(x) = 1.041825e-08, |df|=3.930358e-06\n",
      "k =  3781, f(x) = 1.040993e-08, |df|=3.045002e-06\n",
      "k =  3782, f(x) = 1.040056e-08, |df|=4.434081e-06\n",
      "k =  3783, f(x) = 1.039134e-08, |df|=3.258671e-06\n",
      "k =  3784, f(x) = 1.038353e-08, |df|=5.082986e-06\n",
      "k =  3785, f(x) = 1.037298e-08, |df|=3.549200e-06\n",
      "k =  3786, f(x) = 1.036530e-08, |df|=2.887377e-06\n",
      "k =  3787, f(x) = 1.035495e-08, |df|=3.936845e-06\n",
      "k =  3788, f(x) = 1.034665e-08, |df|=3.043384e-06\n",
      "k =  3789, f(x) = 1.033739e-08, |df|=4.444534e-06\n",
      "k =  3790, f(x) = 1.032818e-08, |df|=3.259227e-06\n",
      "k =  3791, f(x) = 1.032049e-08, |df|=5.098107e-06\n",
      "k =  3792, f(x) = 1.030994e-08, |df|=3.552486e-06\n",
      "k =  3793, f(x) = 1.030229e-08, |df|=2.884146e-06\n",
      "k =  3794, f(x) = 1.029204e-08, |df|=3.943464e-06\n",
      "k =  3795, f(x) = 1.028376e-08, |df|=3.041851e-06\n",
      "k =  3796, f(x) = 1.027460e-08, |df|=4.455135e-06\n",
      "k =  3797, f(x) = 1.026540e-08, |df|=3.259884e-06\n",
      "k =  3798, f(x) = 1.025784e-08, |df|=5.113392e-06\n",
      "k =  3799, f(x) = 1.024729e-08, |df|=3.555888e-06\n",
      "k =  3800, f(x) = 1.023966e-08, |df|=2.880986e-06\n",
      "k =  3801, f(x) = 1.022951e-08, |df|=3.950216e-06\n",
      "k =  3802, f(x) = 1.022124e-08, |df|=3.040403e-06\n",
      "k =  3803, f(x) = 1.021220e-08, |df|=4.465883e-06\n",
      "k =  3804, f(x) = 1.020301e-08, |df|=3.260641e-06\n",
      "k =  3805, f(x) = 1.019484e-08, |df|=3.776447e-06\n",
      "k =  3806, f(x) = 1.018688e-08, |df|=2.966163e-06\n",
      "k =  3807, f(x) = 1.017740e-08, |df|=4.241183e-06\n",
      "k =  3808, f(x) = 1.016865e-08, |df|=3.160460e-06\n",
      "k =  3809, f(x) = 1.016055e-08, |df|=4.842480e-06\n",
      "k =  3810, f(x) = 1.015062e-08, |df|=3.425942e-06\n",
      "k =  3811, f(x) = 1.014324e-08, |df|=2.822833e-06\n",
      "k =  3812, f(x) = 1.013290e-08, |df|=3.781939e-06\n",
      "k =  3813, f(x) = 1.012496e-08, |df|=2.964081e-06\n",
      "k =  3814, f(x) = 1.011558e-08, |df|=4.250424e-06\n",
      "k =  3815, f(x) = 1.010684e-08, |df|=3.160394e-06\n",
      "k =  3816, f(x) = 1.009886e-08, |df|=4.856148e-06\n",
      "k =  3817, f(x) = 1.008894e-08, |df|=3.428425e-06\n",
      "k =  3818, f(x) = 1.008158e-08, |df|=2.819268e-06\n",
      "k =  3819, f(x) = 1.007133e-08, |df|=3.787557e-06\n",
      "k =  3820, f(x) = 1.006342e-08, |df|=2.962078e-06\n",
      "k =  3821, f(x) = 1.005414e-08, |df|=4.259807e-06\n",
      "k =  3822, f(x) = 1.004541e-08, |df|=3.160423e-06\n",
      "k =  3823, f(x) = 1.003755e-08, |df|=4.869974e-06\n",
      "k =  3824, f(x) = 1.002763e-08, |df|=3.431018e-06\n",
      "k =  3825, f(x) = 1.002029e-08, |df|=2.815770e-06\n",
      "k =  3826, f(x) = 1.001014e-08, |df|=3.793302e-06\n",
      "k =  3827, f(x) = 1.000225e-08, |df|=2.960157e-06\n",
      "k =  3828, f(x) = 9.993077e-09, |df|=4.269332e-06\n",
      "k =  3829, f(x) = 9.984360e-09, |df|=3.160546e-06\n",
      "k =  3830, f(x) = 9.976617e-09, |df|=4.883957e-06\n",
      "k =  3831, f(x) = 9.966691e-09, |df|=3.433723e-06\n",
      "k =  3832, f(x) = 9.959380e-09, |df|=2.812339e-06\n",
      "k =  3833, f(x) = 9.949324e-09, |df|=3.799173e-06\n",
      "k =  3834, f(x) = 9.941449e-09, |df|=2.958315e-06\n",
      "k =  3835, f(x) = 9.932384e-09, |df|=4.278999e-06\n",
      "k =  3836, f(x) = 9.923679e-09, |df|=3.160766e-06\n",
      "k =  3837, f(x) = 9.916054e-09, |df|=4.898100e-06\n",
      "k =  3838, f(x) = 9.906127e-09, |df|=3.436539e-06\n",
      "k =  3839, f(x) = 9.898840e-09, |df|=2.808977e-06\n",
      "k =  3840, f(x) = 9.888880e-09, |df|=3.805171e-06\n",
      "k =  3841, f(x) = 9.881024e-09, |df|=2.956555e-06\n",
      "k =  3842, f(x) = 9.872063e-09, |df|=4.288808e-06\n",
      "k =  3843, f(x) = 9.863368e-09, |df|=3.161081e-06\n",
      "k =  3844, f(x) = 9.855861e-09, |df|=4.912400e-06\n",
      "k =  3845, f(x) = 9.845933e-09, |df|=3.439466e-06\n",
      "k =  3846, f(x) = 9.838671e-09, |df|=2.805682e-06\n",
      "k =  3847, f(x) = 9.828804e-09, |df|=3.811296e-06\n",
      "k =  3848, f(x) = 9.820967e-09, |df|=2.954877e-06\n",
      "k =  3849, f(x) = 9.812110e-09, |df|=4.298760e-06\n",
      "k =  3850, f(x) = 9.803426e-09, |df|=3.161493e-06\n",
      "k =  3851, f(x) = 9.796036e-09, |df|=4.926860e-06\n",
      "k =  3852, f(x) = 9.786106e-09, |df|=3.442505e-06\n",
      "k =  3853, f(x) = 9.778868e-09, |df|=2.802456e-06\n",
      "k =  3854, f(x) = 9.769096e-09, |df|=3.817549e-06\n",
      "k =  3855, f(x) = 9.761277e-09, |df|=2.953280e-06\n",
      "k =  3856, f(x) = 9.752524e-09, |df|=4.308855e-06\n",
      "k =  3857, f(x) = 9.743849e-09, |df|=3.162001e-06\n",
      "k =  3858, f(x) = 9.736577e-09, |df|=4.941478e-06\n",
      "k =  3859, f(x) = 9.726644e-09, |df|=3.445656e-06\n",
      "k =  3860, f(x) = 9.719430e-09, |df|=2.799299e-06\n",
      "k =  3861, f(x) = 9.709752e-09, |df|=3.823929e-06\n",
      "k =  3862, f(x) = 9.701951e-09, |df|=2.951766e-06\n",
      "k =  3863, f(x) = 9.693301e-09, |df|=4.319093e-06\n",
      "k =  3864, f(x) = 9.684636e-09, |df|=3.162607e-06\n",
      "k =  3865, f(x) = 9.677482e-09, |df|=4.956256e-06\n",
      "k =  3866, f(x) = 9.667546e-09, |df|=3.448920e-06\n",
      "k =  3867, f(x) = 9.660355e-09, |df|=2.796211e-06\n",
      "k =  3868, f(x) = 9.650771e-09, |df|=3.830437e-06\n",
      "k =  3869, f(x) = 9.642987e-09, |df|=2.950333e-06\n",
      "k =  3870, f(x) = 9.634441e-09, |df|=4.329475e-06\n",
      "k =  3871, f(x) = 9.625784e-09, |df|=3.163309e-06\n",
      "k =  3872, f(x) = 9.618749e-09, |df|=4.971193e-06\n",
      "k =  3873, f(x) = 9.608808e-09, |df|=3.452296e-06\n",
      "k =  3874, f(x) = 9.601641e-09, |df|=2.793192e-06\n",
      "k =  3875, f(x) = 9.592150e-09, |df|=3.837073e-06\n",
      "k =  3876, f(x) = 9.584383e-09, |df|=2.948984e-06\n",
      "k =  3877, f(x) = 9.575940e-09, |df|=4.340000e-06\n",
      "k =  3878, f(x) = 9.567292e-09, |df|=3.164110e-06\n",
      "k =  3879, f(x) = 9.559646e-09, |df|=3.667573e-06\n",
      "k =  3880, f(x) = 9.552171e-09, |df|=2.876487e-06\n",
      "k =  3881, f(x) = 9.543310e-09, |df|=4.120912e-06\n",
      "k =  3882, f(x) = 9.535079e-09, |df|=3.066310e-06\n",
      "k =  3883, f(x) = 9.527531e-09, |df|=4.707187e-06\n",
      "k =  3884, f(x) = 9.518187e-09, |df|=3.325546e-06\n",
      "k =  3885, f(x) = 9.511249e-09, |df|=2.736459e-06\n",
      "k =  3886, f(x) = 9.501575e-09, |df|=3.672984e-06\n",
      "k =  3887, f(x) = 9.494119e-09, |df|=2.874518e-06\n",
      "k =  3888, f(x) = 9.485357e-09, |df|=4.129970e-06\n",
      "k =  3889, f(x) = 9.477137e-09, |df|=3.066307e-06\n",
      "k =  3890, f(x) = 9.469700e-09, |df|=4.720551e-06\n",
      "k =  3891, f(x) = 9.460357e-09, |df|=3.328027e-06\n",
      "k =  3892, f(x) = 9.453443e-09, |df|=2.733044e-06\n",
      "k =  3893, f(x) = 9.443859e-09, |df|=3.678517e-06\n",
      "k =  3894, f(x) = 9.436421e-09, |df|=2.872628e-06\n",
      "k =  3895, f(x) = 9.427758e-09, |df|=4.139166e-06\n",
      "k =  3896, f(x) = 9.419549e-09, |df|=3.066397e-06\n",
      "k =  3897, f(x) = 9.412223e-09, |df|=4.734068e-06\n",
      "k =  3898, f(x) = 9.402880e-09, |df|=3.330615e-06\n",
      "k =  3899, f(x) = 9.395990e-09, |df|=2.729694e-06\n",
      "k =  3900, f(x) = 9.386495e-09, |df|=3.684173e-06\n",
      "k =  3901, f(x) = 9.379076e-09, |df|=2.870816e-06\n",
      "k =  3902, f(x) = 9.370510e-09, |df|=4.148500e-06\n",
      "k =  3903, f(x) = 9.362312e-09, |df|=3.066580e-06\n",
      "k =  3904, f(x) = 9.355098e-09, |df|=4.747739e-06\n",
      "k =  3905, f(x) = 9.345754e-09, |df|=3.333312e-06\n",
      "k =  3906, f(x) = 9.338887e-09, |df|=2.726410e-06\n",
      "k =  3907, f(x) = 9.329481e-09, |df|=3.689952e-06\n",
      "k =  3908, f(x) = 9.322080e-09, |df|=2.869082e-06\n",
      "k =  3909, f(x) = 9.313613e-09, |df|=4.157971e-06\n",
      "k =  3910, f(x) = 9.305425e-09, |df|=3.066855e-06\n",
      "k =  3911, f(x) = 9.298321e-09, |df|=4.761563e-06\n",
      "k =  3912, f(x) = 9.288976e-09, |df|=3.336116e-06\n",
      "k =  3913, f(x) = 9.282132e-09, |df|=2.723192e-06\n",
      "k =  3914, f(x) = 9.272816e-09, |df|=3.695854e-06\n",
      "k =  3915, f(x) = 9.265433e-09, |df|=2.867428e-06\n",
      "k =  3916, f(x) = 9.257063e-09, |df|=4.167582e-06\n",
      "k =  3917, f(x) = 9.248885e-09, |df|=3.067224e-06\n",
      "k =  3918, f(x) = 9.241892e-09, |df|=4.775541e-06\n",
      "k =  3919, f(x) = 9.232545e-09, |df|=3.339029e-06\n",
      "k =  3920, f(x) = 9.225724e-09, |df|=2.720040e-06\n",
      "k =  3921, f(x) = 9.216496e-09, |df|=3.701880e-06\n",
      "k =  3922, f(x) = 9.209131e-09, |df|=2.865852e-06\n",
      "k =  3923, f(x) = 9.200859e-09, |df|=4.177331e-06\n",
      "k =  3924, f(x) = 9.192690e-09, |df|=3.067686e-06\n",
      "k =  3925, f(x) = 9.185808e-09, |df|=4.789674e-06\n",
      "k =  3926, f(x) = 9.176459e-09, |df|=3.342051e-06\n",
      "k =  3927, f(x) = 9.169661e-09, |df|=2.716955e-06\n",
      "k =  3928, f(x) = 9.160521e-09, |df|=3.708029e-06\n",
      "k =  3929, f(x) = 9.153172e-09, |df|=2.864357e-06\n",
      "k =  3930, f(x) = 9.144998e-09, |df|=4.187218e-06\n",
      "k =  3931, f(x) = 9.136838e-09, |df|=3.068242e-06\n",
      "k =  3932, f(x) = 9.130067e-09, |df|=4.803961e-06\n",
      "k =  3933, f(x) = 9.120715e-09, |df|=3.345181e-06\n",
      "k =  3934, f(x) = 9.113939e-09, |df|=2.713937e-06\n",
      "k =  3935, f(x) = 9.104888e-09, |df|=3.714303e-06\n",
      "k =  3936, f(x) = 9.097555e-09, |df|=2.862941e-06\n",
      "k =  3937, f(x) = 9.089478e-09, |df|=4.197245e-06\n",
      "k =  3938, f(x) = 9.081327e-09, |df|=3.068893e-06\n",
      "k =  3939, f(x) = 9.074667e-09, |df|=4.818402e-06\n",
      "k =  3940, f(x) = 9.065312e-09, |df|=3.348421e-06\n",
      "k =  3941, f(x) = 9.058557e-09, |df|=2.710985e-06\n",
      "k =  3942, f(x) = 9.049594e-09, |df|=3.720700e-06\n",
      "k =  3943, f(x) = 9.042278e-09, |df|=2.861605e-06\n",
      "k =  3944, f(x) = 9.034298e-09, |df|=4.207411e-06\n",
      "k =  3945, f(x) = 9.026155e-09, |df|=3.069638e-06\n",
      "k =  3946, f(x) = 9.018938e-09, |df|=3.556677e-06\n",
      "k =  3947, f(x) = 9.011895e-09, |df|=2.791489e-06\n",
      "k =  3948, f(x) = 9.003523e-09, |df|=3.995359e-06\n",
      "k =  3949, f(x) = 8.995771e-09, |df|=2.975037e-06\n",
      "k =  3950, f(x) = 8.988632e-09, |df|=4.562808e-06\n",
      "k =  3951, f(x) = 8.979836e-09, |df|=3.225765e-06\n",
      "k =  3952, f(x) = 8.973297e-09, |df|=2.656090e-06\n",
      "k =  3953, f(x) = 8.964163e-09, |df|=3.561888e-06\n",
      "k =  3954, f(x) = 8.957138e-09, |df|=2.789554e-06\n",
      "k =  3955, f(x) = 8.948859e-09, |df|=4.004103e-06\n",
      "k =  3956, f(x) = 8.941118e-09, |df|=2.975005e-06\n",
      "k =  3957, f(x) = 8.934083e-09, |df|=4.575725e-06\n",
      "k =  3958, f(x) = 8.925288e-09, |df|=3.228138e-06\n",
      "k =  3959, f(x) = 8.918772e-09, |df|=2.652755e-06\n",
      "k =  3960, f(x) = 8.909722e-09, |df|=3.567217e-06\n",
      "k =  3961, f(x) = 8.902715e-09, |df|=2.787695e-06\n",
      "k =  3962, f(x) = 8.894530e-09, |df|=4.012981e-06\n",
      "k =  3963, f(x) = 8.886799e-09, |df|=2.975062e-06\n",
      "k =  3964, f(x) = 8.879869e-09, |df|=4.588791e-06\n",
      "k =  3965, f(x) = 8.871074e-09, |df|=3.230615e-06\n",
      "k =  3966, f(x) = 8.864580e-09, |df|=2.649484e-06\n",
      "k =  3967, f(x) = 8.855615e-09, |df|=3.572666e-06\n",
      "k =  3968, f(x) = 8.848625e-09, |df|=2.785912e-06\n",
      "k =  3969, f(x) = 8.840532e-09, |df|=4.021993e-06\n",
      "k =  3970, f(x) = 8.832811e-09, |df|=2.975210e-06\n",
      "k =  3971, f(x) = 8.825985e-09, |df|=4.602005e-06\n",
      "k =  3972, f(x) = 8.817190e-09, |df|=3.233197e-06\n",
      "k =  3973, f(x) = 8.810719e-09, |df|=2.646277e-06\n",
      "k =  3974, f(x) = 8.801837e-09, |df|=3.578233e-06\n",
      "k =  3975, f(x) = 8.794865e-09, |df|=2.784205e-06\n",
      "k =  3976, f(x) = 8.786864e-09, |df|=4.031139e-06\n",
      "k =  3977, f(x) = 8.779153e-09, |df|=2.975447e-06\n",
      "k =  3978, f(x) = 8.772432e-09, |df|=4.615369e-06\n",
      "k =  3979, f(x) = 8.763635e-09, |df|=3.235883e-06\n",
      "k =  3980, f(x) = 8.757186e-09, |df|=2.643134e-06\n",
      "k =  3981, f(x) = 8.748388e-09, |df|=3.583920e-06\n",
      "k =  3982, f(x) = 8.741432e-09, |df|=2.782575e-06\n",
      "k =  3983, f(x) = 8.733524e-09, |df|=4.040419e-06\n",
      "k =  3984, f(x) = 8.725822e-09, |df|=2.975775e-06\n",
      "k =  3985, f(x) = 8.719205e-09, |df|=4.628882e-06\n",
      "k =  3986, f(x) = 8.710407e-09, |df|=3.238675e-06\n",
      "k =  3987, f(x) = 8.703980e-09, |df|=2.640054e-06\n",
      "k =  3988, f(x) = 8.695265e-09, |df|=3.589727e-06\n",
      "k =  3989, f(x) = 8.688326e-09, |df|=2.781021e-06\n",
      "k =  3990, f(x) = 8.680509e-09, |df|=4.049833e-06\n",
      "k =  3991, f(x) = 8.672817e-09, |df|=2.976194e-06\n",
      "k =  3992, f(x) = 8.666305e-09, |df|=4.642544e-06\n",
      "k =  3993, f(x) = 8.657505e-09, |df|=3.241572e-06\n",
      "k =  3994, f(x) = 8.651098e-09, |df|=2.637040e-06\n",
      "k =  3995, f(x) = 8.642467e-09, |df|=3.595654e-06\n",
      "k =  3996, f(x) = 8.635544e-09, |df|=2.779544e-06\n",
      "k =  3997, f(x) = 8.627819e-09, |df|=4.059382e-06\n",
      "k =  3998, f(x) = 8.620135e-09, |df|=2.976704e-06\n",
      "k =  3999, f(x) = 8.613728e-09, |df|=4.656357e-06\n",
      "k =  4000, f(x) = 8.604925e-09, |df|=3.244574e-06\n",
      "k =  4001, f(x) = 8.598539e-09, |df|=2.634090e-06\n",
      "k =  4002, f(x) = 8.589992e-09, |df|=3.601701e-06\n",
      "k =  4003, f(x) = 8.583084e-09, |df|=2.778145e-06\n",
      "k =  4004, f(x) = 8.575451e-09, |df|=4.069066e-06\n",
      "k =  4005, f(x) = 8.567775e-09, |df|=2.977305e-06\n",
      "k =  4006, f(x) = 8.561472e-09, |df|=4.670319e-06\n",
      "k =  4007, f(x) = 8.552666e-09, |df|=3.247683e-06\n",
      "k =  4008, f(x) = 8.546301e-09, |df|=2.631205e-06\n",
      "k =  4009, f(x) = 8.537837e-09, |df|=3.607869e-06\n",
      "k =  4010, f(x) = 8.530945e-09, |df|=2.776824e-06\n",
      "k =  4011, f(x) = 8.523403e-09, |df|=4.078884e-06\n",
      "k =  4012, f(x) = 8.515735e-09, |df|=2.977998e-06\n",
      "k =  4013, f(x) = 8.508922e-09, |df|=3.449146e-06\n",
      "k =  4014, f(x) = 8.502287e-09, |df|=2.709011e-06\n",
      "k =  4015, f(x) = 8.494378e-09, |df|=3.873643e-06\n",
      "k =  4016, f(x) = 8.487077e-09, |df|=2.886490e-06\n",
      "k =  4017, f(x) = 8.480324e-09, |df|=4.422869e-06\n",
      "k =  4018, f(x) = 8.472044e-09, |df|=3.128988e-06\n",
      "k =  4019, f(x) = 8.465881e-09, |df|=2.578087e-06\n",
      "k =  4020, f(x) = 8.457257e-09, |df|=3.454164e-06\n",
      "k =  4021, f(x) = 8.450638e-09, |df|=2.707110e-06\n",
      "k =  4022, f(x) = 8.442817e-09, |df|=3.882084e-06\n",
      "k =  4023, f(x) = 8.435526e-09, |df|=2.886430e-06\n",
      "k =  4024, f(x) = 8.428872e-09, |df|=4.435354e-06\n",
      "k =  4025, f(x) = 8.420592e-09, |df|=3.131258e-06\n",
      "k =  4026, f(x) = 8.414451e-09, |df|=2.574832e-06\n",
      "k =  4027, f(x) = 8.405906e-09, |df|=3.459297e-06\n",
      "k =  4028, f(x) = 8.399305e-09, |df|=2.705282e-06\n",
      "k =  4029, f(x) = 8.391570e-09, |df|=3.890655e-06\n",
      "k =  4030, f(x) = 8.384290e-09, |df|=2.886458e-06\n",
      "k =  4031, f(x) = 8.377734e-09, |df|=4.447983e-06\n",
      "k =  4032, f(x) = 8.369455e-09, |df|=3.133628e-06\n",
      "k =  4033, f(x) = 8.363335e-09, |df|=2.571638e-06\n",
      "k =  4034, f(x) = 8.354870e-09, |df|=3.464545e-06\n",
      "k =  4035, f(x) = 8.348285e-09, |df|=2.703528e-06\n",
      "k =  4036, f(x) = 8.340637e-09, |df|=3.899356e-06\n",
      "k =  4037, f(x) = 8.333367e-09, |df|=2.886572e-06\n",
      "k =  4038, f(x) = 8.326909e-09, |df|=4.460757e-06\n",
      "k =  4039, f(x) = 8.318630e-09, |df|=3.136100e-06\n",
      "k =  4040, f(x) = 8.312531e-09, |df|=2.568506e-06\n",
      "k =  4041, f(x) = 8.304145e-09, |df|=3.469909e-06\n",
      "k =  4042, f(x) = 8.297576e-09, |df|=2.701847e-06\n",
      "k =  4043, f(x) = 8.290016e-09, |df|=3.908187e-06\n",
      "k =  4044, f(x) = 8.282754e-09, |df|=2.886774e-06\n",
      "k =  4045, f(x) = 8.276395e-09, |df|=4.473675e-06\n",
      "k =  4046, f(x) = 8.268115e-09, |df|=3.138673e-06\n",
      "k =  4047, f(x) = 8.262037e-09, |df|=2.565435e-06\n",
      "k =  4048, f(x) = 8.253729e-09, |df|=3.475389e-06\n",
      "k =  4049, f(x) = 8.247177e-09, |df|=2.700241e-06\n",
      "k =  4050, f(x) = 8.239703e-09, |df|=3.917148e-06\n",
      "k =  4051, f(x) = 8.232451e-09, |df|=2.887063e-06\n",
      "k =  4052, f(x) = 8.226190e-09, |df|=4.486738e-06\n",
      "k =  4053, f(x) = 8.217908e-09, |df|=3.141347e-06\n",
      "k =  4054, f(x) = 8.211851e-09, |df|=2.562427e-06\n",
      "k =  4055, f(x) = 8.203622e-09, |df|=3.480984e-06\n",
      "k =  4056, f(x) = 8.197085e-09, |df|=2.698709e-06\n",
      "k =  4057, f(x) = 8.189698e-09, |df|=3.926239e-06\n",
      "k =  4058, f(x) = 8.182454e-09, |df|=2.887440e-06\n",
      "k =  4059, f(x) = 8.176292e-09, |df|=4.499946e-06\n",
      "k =  4060, f(x) = 8.168009e-09, |df|=3.144125e-06\n",
      "k =  4061, f(x) = 8.161971e-09, |df|=2.559482e-06\n",
      "k =  4062, f(x) = 8.153821e-09, |df|=3.486696e-06\n",
      "k =  4063, f(x) = 8.147299e-09, |df|=2.697252e-06\n",
      "k =  4064, f(x) = 8.139999e-09, |df|=3.935460e-06\n",
      "k =  4065, f(x) = 8.132763e-09, |df|=2.887906e-06\n",
      "k =  4066, f(x) = 8.126699e-09, |df|=4.513299e-06\n",
      "k =  4067, f(x) = 8.118413e-09, |df|=3.147004e-06\n",
      "k =  4068, f(x) = 8.112396e-09, |df|=2.556599e-06\n",
      "k =  4069, f(x) = 8.104324e-09, |df|=3.492525e-06\n",
      "k =  4070, f(x) = 8.097817e-09, |df|=2.695869e-06\n",
      "k =  4071, f(x) = 8.090603e-09, |df|=3.944813e-06\n",
      "k =  4072, f(x) = 8.083375e-09, |df|=2.888460e-06\n",
      "k =  4073, f(x) = 8.077409e-09, |df|=4.526798e-06\n",
      "k =  4074, f(x) = 8.069121e-09, |df|=3.149986e-06\n",
      "k =  4075, f(x) = 8.063123e-09, |df|=2.553780e-06\n",
      "k =  4076, f(x) = 8.055129e-09, |df|=3.498471e-06\n",
      "k =  4077, f(x) = 8.048637e-09, |df|=2.694563e-06\n",
      "k =  4078, f(x) = 8.041509e-09, |df|=3.954296e-06\n",
      "k =  4079, f(x) = 8.034289e-09, |df|=2.889103e-06\n",
      "k =  4080, f(x) = 8.028421e-09, |df|=4.540442e-06\n",
      "k =  4081, f(x) = 8.020129e-09, |df|=3.153071e-06\n",
      "k =  4082, f(x) = 8.014151e-09, |df|=2.551024e-06\n",
      "k =  4083, f(x) = 8.006235e-09, |df|=3.504533e-06\n",
      "k =  4084, f(x) = 7.999757e-09, |df|=2.693331e-06\n",
      "k =  4085, f(x) = 7.992715e-09, |df|=3.963911e-06\n",
      "k =  4086, f(x) = 7.985502e-09, |df|=2.889835e-06\n",
      "k =  4087, f(x) = 7.979125e-09, |df|=3.349710e-06\n",
      "k =  4088, f(x) = 7.972889e-09, |df|=2.627110e-06\n",
      "k =  4089, f(x) = 7.965499e-09, |df|=3.763795e-06\n",
      "k =  4090, f(x) = 7.958633e-09, |df|=2.800502e-06\n",
      "k =  4091, f(x) = 7.952339e-09, |df|=4.299301e-06\n",
      "k =  4092, f(x) = 7.944545e-09, |df|=3.037296e-06\n",
      "k =  4093, f(x) = 7.938758e-09, |df|=2.499203e-06\n",
      "k =  4094, f(x) = 7.930689e-09, |df|=3.354653e-06\n",
      "k =  4095, f(x) = 7.924470e-09, |df|=2.625313e-06\n",
      "k =  4096, f(x) = 7.917162e-09, |df|=3.772070e-06\n",
      "k =  4097, f(x) = 7.910306e-09, |df|=2.800501e-06\n",
      "k =  4098, f(x) = 7.904104e-09, |df|=4.311508e-06\n",
      "k =  4099, f(x) = 7.896310e-09, |df|=3.039563e-06\n",
      "k =  4100, f(x) = 7.890543e-09, |df|=2.496085e-06\n",
      "k =  4101, f(x) = 7.882549e-09, |df|=3.359708e-06\n",
      "k =  4102, f(x) = 7.876346e-09, |df|=2.623587e-06\n",
      "k =  4103, f(x) = 7.869120e-09, |df|=3.780470e-06\n",
      "k =  4104, f(x) = 7.862273e-09, |df|=2.800584e-06\n",
      "k =  4105, f(x) = 7.856164e-09, |df|=4.323855e-06\n",
      "k =  4106, f(x) = 7.848370e-09, |df|=3.041929e-06\n",
      "k =  4107, f(x) = 7.842623e-09, |df|=2.493026e-06\n",
      "k =  4108, f(x) = 7.834704e-09, |df|=3.364875e-06\n",
      "k =  4109, f(x) = 7.828515e-09, |df|=2.621933e-06\n",
      "k =  4110, f(x) = 7.821372e-09, |df|=3.788996e-06\n",
      "k =  4111, f(x) = 7.814533e-09, |df|=2.800752e-06\n",
      "k =  4112, f(x) = 7.808517e-09, |df|=4.336343e-06\n",
      "k =  4113, f(x) = 7.800722e-09, |df|=3.044393e-06\n",
      "k =  4114, f(x) = 7.794995e-09, |df|=2.490028e-06\n",
      "k =  4115, f(x) = 7.787150e-09, |df|=3.370155e-06\n",
      "k =  4116, f(x) = 7.780977e-09, |df|=2.620351e-06\n",
      "k =  4117, f(x) = 7.773915e-09, |df|=3.797649e-06\n",
      "k =  4118, f(x) = 7.767085e-09, |df|=2.801005e-06\n",
      "k =  4119, f(x) = 7.761161e-09, |df|=4.348971e-06\n",
      "k =  4120, f(x) = 7.753366e-09, |df|=3.046956e-06\n",
      "k =  4121, f(x) = 7.747657e-09, |df|=2.487089e-06\n",
      "k =  4122, f(x) = 7.739887e-09, |df|=3.375547e-06\n",
      "k =  4123, f(x) = 7.733729e-09, |df|=2.618841e-06\n",
      "k =  4124, f(x) = 7.726748e-09, |df|=3.806428e-06\n",
      "k =  4125, f(x) = 7.719927e-09, |df|=2.801342e-06\n",
      "k =  4126, f(x) = 7.714095e-09, |df|=4.361739e-06\n",
      "k =  4127, f(x) = 7.706298e-09, |df|=3.049617e-06\n",
      "k =  4128, f(x) = 7.700609e-09, |df|=2.484212e-06\n",
      "k =  4129, f(x) = 7.692913e-09, |df|=3.381052e-06\n",
      "k =  4130, f(x) = 7.686769e-09, |df|=2.617403e-06\n",
      "k =  4131, f(x) = 7.679870e-09, |df|=3.815333e-06\n",
      "k =  4132, f(x) = 7.673056e-09, |df|=2.801766e-06\n",
      "k =  4133, f(x) = 7.667317e-09, |df|=4.374648e-06\n",
      "k =  4134, f(x) = 7.659518e-09, |df|=3.052378e-06\n",
      "k =  4135, f(x) = 7.653848e-09, |df|=2.481395e-06\n",
      "k =  4136, f(x) = 7.646225e-09, |df|=3.386670e-06\n",
      "k =  4137, f(x) = 7.640095e-09, |df|=2.616038e-06\n",
      "k =  4138, f(x) = 7.633278e-09, |df|=3.824366e-06\n",
      "k =  4139, f(x) = 7.626471e-09, |df|=2.802275e-06\n",
      "k =  4140, f(x) = 7.620825e-09, |df|=4.387699e-06\n",
      "k =  4141, f(x) = 7.613024e-09, |df|=3.055239e-06\n",
      "k =  4142, f(x) = 7.607372e-09, |df|=2.478639e-06\n",
      "k =  4143, f(x) = 7.599823e-09, |df|=3.392401e-06\n",
      "k =  4144, f(x) = 7.593707e-09, |df|=2.614746e-06\n",
      "k =  4145, f(x) = 7.586970e-09, |df|=3.833525e-06\n",
      "k =  4146, f(x) = 7.580171e-09, |df|=2.802871e-06\n",
      "k =  4147, f(x) = 7.574617e-09, |df|=4.400890e-06\n",
      "k =  4148, f(x) = 7.566813e-09, |df|=3.058199e-06\n",
      "k =  4149, f(x) = 7.561179e-09, |df|=2.475945e-06\n",
      "k =  4150, f(x) = 7.553704e-09, |df|=3.398246e-06\n",
      "k =  4151, f(x) = 7.547601e-09, |df|=2.613528e-06\n",
      "k =  4152, f(x) = 7.540946e-09, |df|=3.842811e-06\n",
      "k =  4153, f(x) = 7.534153e-09, |df|=2.803553e-06\n",
      "k =  4154, f(x) = 7.528134e-09, |df|=3.248425e-06\n",
      "k =  4155, f(x) = 7.522259e-09, |df|=2.549481e-06\n",
      "k =  4156, f(x) = 7.515277e-09, |df|=3.649122e-06\n",
      "k =  4157, f(x) = 7.508811e-09, |df|=2.717141e-06\n",
      "k =  4158, f(x) = 7.502857e-09, |df|=4.167432e-06\n",
      "k =  4159, f(x) = 7.495520e-09, |df|=2.946164e-06\n",
      "k =  4160, f(x) = 7.490066e-09, |df|=2.425802e-06\n",
      "k =  4161, f(x) = 7.482448e-09, |df|=3.253186e-06\n",
      "k =  4162, f(x) = 7.476588e-09, |df|=2.547715e-06\n",
      "k =  4163, f(x) = 7.469684e-09, |df|=3.657110e-06\n",
      "k =  4164, f(x) = 7.463226e-09, |df|=2.717113e-06\n",
      "k =  4165, f(x) = 7.457360e-09, |df|=4.179231e-06\n",
      "k =  4166, f(x) = 7.450023e-09, |df|=2.948332e-06\n",
      "k =  4167, f(x) = 7.444588e-09, |df|=2.422758e-06\n",
      "k =  4168, f(x) = 7.437040e-09, |df|=3.258054e-06\n",
      "k =  4169, f(x) = 7.431196e-09, |df|=2.546018e-06\n",
      "k =  4170, f(x) = 7.424369e-09, |df|=3.665220e-06\n",
      "k =  4171, f(x) = 7.417920e-09, |df|=2.717167e-06\n",
      "k =  4172, f(x) = 7.412141e-09, |df|=4.191166e-06\n",
      "k =  4173, f(x) = 7.404804e-09, |df|=2.950596e-06\n",
      "k =  4174, f(x) = 7.399388e-09, |df|=2.419771e-06\n",
      "k =  4175, f(x) = 7.391910e-09, |df|=3.263032e-06\n",
      "k =  4176, f(x) = 7.386080e-09, |df|=2.544391e-06\n",
      "k =  4177, f(x) = 7.379330e-09, |df|=3.673453e-06\n",
      "k =  4178, f(x) = 7.372890e-09, |df|=2.717302e-06\n",
      "k =  4179, f(x) = 7.367198e-09, |df|=4.203237e-06\n",
      "k =  4180, f(x) = 7.359861e-09, |df|=2.952955e-06\n",
      "k =  4181, f(x) = 7.354464e-09, |df|=2.416842e-06\n",
      "k =  4182, f(x) = 7.347056e-09, |df|=3.268118e-06\n",
      "k =  4183, f(x) = 7.341240e-09, |df|=2.542833e-06\n",
      "k =  4184, f(x) = 7.334567e-09, |df|=3.681807e-06\n",
      "k =  4185, f(x) = 7.328136e-09, |df|=2.717520e-06\n",
      "k =  4186, f(x) = 7.322530e-09, |df|=4.215444e-06\n",
      "k =  4187, f(x) = 7.315193e-09, |df|=2.955410e-06\n",
      "k =  4188, f(x) = 7.309813e-09, |df|=2.413972e-06\n",
      "k =  4189, f(x) = 7.302476e-09, |df|=3.273314e-06\n",
      "k =  4190, f(x) = 7.296674e-09, |df|=2.541344e-06\n",
      "k =  4191, f(x) = 7.290078e-09, |df|=3.690284e-06\n",
      "k =  4192, f(x) = 7.283654e-09, |df|=2.717821e-06\n",
      "k =  4193, f(x) = 7.278136e-09, |df|=4.227788e-06\n",
      "k =  4194, f(x) = 7.270797e-09, |df|=2.957961e-06\n",
      "k =  4195, f(x) = 7.265435e-09, |df|=2.411161e-06\n",
      "k =  4196, f(x) = 7.258167e-09, |df|=3.278619e-06\n",
      "k =  4197, f(x) = 7.252379e-09, |df|=2.539926e-06\n",
      "k =  4198, f(x) = 7.245860e-09, |df|=3.698884e-06\n",
      "k =  4199, f(x) = 7.239444e-09, |df|=2.718205e-06\n",
      "k =  4200, f(x) = 7.234013e-09, |df|=4.240268e-06\n",
      "k =  4201, f(x) = 7.226672e-09, |df|=2.960608e-06\n",
      "k =  4202, f(x) = 7.221328e-09, |df|=2.408409e-06\n",
      "k =  4203, f(x) = 7.214130e-09, |df|=3.284034e-06\n",
      "k =  4204, f(x) = 7.208355e-09, |df|=2.538579e-06\n",
      "k =  4205, f(x) = 7.201913e-09, |df|=3.707607e-06\n",
      "k =  4206, f(x) = 7.195503e-09, |df|=2.718671e-06\n",
      "k =  4207, f(x) = 7.190159e-09, |df|=4.252885e-06\n",
      "k =  4208, f(x) = 7.182817e-09, |df|=2.963352e-06\n",
      "k =  4209, f(x) = 7.177490e-09, |df|=2.405715e-06\n",
      "k =  4210, f(x) = 7.170361e-09, |df|=3.289558e-06\n",
      "k =  4211, f(x) = 7.164600e-09, |df|=2.537302e-06\n",
      "k =  4212, f(x) = 7.158234e-09, |df|=3.716453e-06\n",
      "k =  4213, f(x) = 7.151831e-09, |df|=2.719222e-06\n",
      "k =  4214, f(x) = 7.146574e-09, |df|=4.265638e-06\n",
      "k =  4215, f(x) = 7.139229e-09, |df|=2.966192e-06\n",
      "k =  4216, f(x) = 7.133920e-09, |df|=2.403082e-06\n",
      "k =  4217, f(x) = 7.126860e-09, |df|=3.295193e-06\n",
      "k =  4218, f(x) = 7.121112e-09, |df|=2.536096e-06\n",
      "k =  4219, f(x) = 7.114822e-09, |df|=3.725422e-06\n",
      "k =  4220, f(x) = 7.108425e-09, |df|=2.719856e-06\n",
      "k =  4221, f(x) = 7.102743e-09, |df|=3.150214e-06\n",
      "k =  4222, f(x) = 7.097209e-09, |df|=2.474154e-06\n",
      "k =  4223, f(x) = 7.090612e-09, |df|=3.537954e-06\n",
      "k =  4224, f(x) = 7.084522e-09, |df|=2.636270e-06\n",
      "k =  4225, f(x) = 7.078891e-09, |df|=4.039619e-06\n",
      "k =  4226, f(x) = 7.071984e-09, |df|=2.857776e-06\n",
      "k =  4227, f(x) = 7.066844e-09, |df|=2.354563e-06\n",
      "k =  4228, f(x) = 7.059650e-09, |df|=3.154798e-06\n",
      "k =  4229, f(x) = 7.054130e-09, |df|=2.472418e-06\n",
      "k =  4230, f(x) = 7.047607e-09, |df|=3.545665e-06\n",
      "k =  4231, f(x) = 7.041525e-09, |df|=2.636217e-06\n",
      "k =  4232, f(x) = 7.035976e-09, |df|=4.051024e-06\n",
      "k =  4233, f(x) = 7.029069e-09, |df|=2.859850e-06\n",
      "k =  4234, f(x) = 7.023947e-09, |df|=2.351590e-06\n",
      "k =  4235, f(x) = 7.016820e-09, |df|=3.159487e-06\n",
      "k =  4236, f(x) = 7.011314e-09, |df|=2.470750e-06\n",
      "k =  4237, f(x) = 7.004863e-09, |df|=3.553495e-06\n",
      "k =  4238, f(x) = 6.998791e-09, |df|=2.636243e-06\n",
      "k =  4239, f(x) = 6.993323e-09, |df|=4.062560e-06\n",
      "k =  4240, f(x) = 6.986417e-09, |df|=2.862016e-06\n",
      "k =  4241, f(x) = 6.981313e-09, |df|=2.348674e-06\n",
      "k =  4242, f(x) = 6.974252e-09, |df|=3.164282e-06\n",
      "k =  4243, f(x) = 6.968760e-09, |df|=2.469149e-06\n",
      "k =  4244, f(x) = 6.962382e-09, |df|=3.561443e-06\n",
      "k =  4245, f(x) = 6.956317e-09, |df|=2.636348e-06\n",
      "k =  4246, f(x) = 6.950931e-09, |df|=4.074228e-06\n",
      "k =  4247, f(x) = 6.944025e-09, |df|=2.864274e-06\n",
      "k =  4248, f(x) = 6.938938e-09, |df|=2.345814e-06\n",
      "k =  4249, f(x) = 6.931944e-09, |df|=3.169182e-06\n",
      "k =  4250, f(x) = 6.926465e-09, |df|=2.467615e-06\n",
      "k =  4251, f(x) = 6.920159e-09, |df|=3.569510e-06\n",
      "k =  4252, f(x) = 6.914102e-09, |df|=2.636534e-06\n",
      "k =  4253, f(x) = 6.908799e-09, |df|=4.086028e-06\n",
      "k =  4254, f(x) = 6.901892e-09, |df|=2.866625e-06\n",
      "k =  4255, f(x) = 6.896822e-09, |df|=2.343011e-06\n",
      "k =  4256, f(x) = 6.889894e-09, |df|=3.174188e-06\n",
      "k =  4257, f(x) = 6.884428e-09, |df|=2.466149e-06\n",
      "k =  4258, f(x) = 6.878195e-09, |df|=3.577695e-06\n",
      "k =  4259, f(x) = 6.872145e-09, |df|=2.636799e-06\n",
      "k =  4260, f(x) = 6.866924e-09, |df|=4.097961e-06\n",
      "k =  4261, f(x) = 6.860016e-09, |df|=2.869070e-06\n",
      "k =  4262, f(x) = 6.854964e-09, |df|=2.340265e-06\n",
      "k =  4263, f(x) = 6.848101e-09, |df|=3.179300e-06\n",
      "k =  4264, f(x) = 6.842648e-09, |df|=2.464750e-06\n",
      "k =  4265, f(x) = 6.836487e-09, |df|=3.586000e-06\n",
      "k =  4266, f(x) = 6.830445e-09, |df|=2.637145e-06\n",
      "k =  4267, f(x) = 6.825305e-09, |df|=4.110026e-06\n",
      "k =  4268, f(x) = 6.818396e-09, |df|=2.871607e-06\n",
      "k =  4269, f(x) = 6.813360e-09, |df|=2.337575e-06\n",
      "k =  4270, f(x) = 6.806563e-09, |df|=3.184519e-06\n",
      "k =  4271, f(x) = 6.801123e-09, |df|=2.463420e-06\n",
      "k =  4272, f(x) = 6.795034e-09, |df|=3.594424e-06\n",
      "k =  4273, f(x) = 6.788998e-09, |df|=2.637571e-06\n",
      "k =  4274, f(x) = 6.783941e-09, |df|=4.122223e-06\n",
      "k =  4275, f(x) = 6.777030e-09, |df|=2.874238e-06\n",
      "k =  4276, f(x) = 6.772011e-09, |df|=2.334943e-06\n",
      "k =  4277, f(x) = 6.765278e-09, |df|=3.189844e-06\n",
      "k =  4278, f(x) = 6.759851e-09, |df|=2.462159e-06\n",
      "k =  4279, f(x) = 6.753834e-09, |df|=3.602967e-06\n",
      "k =  4280, f(x) = 6.747805e-09, |df|=2.638078e-06\n",
      "k =  4281, f(x) = 6.742830e-09, |df|=4.134553e-06\n",
      "k =  4282, f(x) = 6.735916e-09, |df|=2.876963e-06\n",
      "k =  4283, f(x) = 6.730913e-09, |df|=2.332369e-06\n",
      "k =  4284, f(x) = 6.724246e-09, |df|=3.195275e-06\n",
      "k =  4285, f(x) = 6.718831e-09, |df|=2.460966e-06\n",
      "k =  4286, f(x) = 6.712886e-09, |df|=3.611630e-06\n",
      "k =  4287, f(x) = 6.706863e-09, |df|=2.638666e-06\n",
      "k =  4288, f(x) = 6.701970e-09, |df|=4.147017e-06\n",
      "k =  4289, f(x) = 6.695054e-09, |df|=2.879782e-06\n",
      "k =  4290, f(x) = 6.690067e-09, |df|=2.329852e-06\n",
      "k =  4291, f(x) = 6.683465e-09, |df|=3.200814e-06\n",
      "k =  4292, f(x) = 6.678061e-09, |df|=2.459843e-06\n",
      "k =  4293, f(x) = 6.672189e-09, |df|=3.620413e-06\n",
      "k =  4294, f(x) = 6.666172e-09, |df|=2.639336e-06\n",
      "k =  4295, f(x) = 6.660853e-09, |df|=3.059396e-06\n",
      "k =  4296, f(x) = 6.655652e-09, |df|=2.399354e-06\n",
      "k =  4297, f(x) = 6.649489e-09, |df|=3.437627e-06\n",
      "k =  4298, f(x) = 6.643761e-09, |df|=2.557737e-06\n",
      "k =  4299, f(x) = 6.638512e-09, |df|=3.926759e-06\n",
      "k =  4300, f(x) = 6.632011e-09, |df|=2.774032e-06\n",
      "k =  4301, f(x) = 6.627183e-09, |df|=2.282519e-06\n",
      "k =  4302, f(x) = 6.620454e-09, |df|=3.063912e-06\n",
      "k =  4303, f(x) = 6.615266e-09, |df|=2.397714e-06\n",
      "k =  4304, f(x) = 6.609172e-09, |df|=3.445186e-06\n",
      "k =  4305, f(x) = 6.603452e-09, |df|=2.557737e-06\n",
      "k =  4306, f(x) = 6.598280e-09, |df|=3.937910e-06\n",
      "k =  4307, f(x) = 6.591779e-09, |df|=2.776104e-06\n",
      "k =  4308, f(x) = 6.586969e-09, |df|=2.279672e-06\n",
      "k =  4309, f(x) = 6.580302e-09, |df|=3.068531e-06\n",
      "k =  4310, f(x) = 6.575127e-09, |df|=2.396139e-06\n",
      "k =  4311, f(x) = 6.569101e-09, |df|=3.452859e-06\n",
      "k =  4312, f(x) = 6.563390e-09, |df|=2.557814e-06\n",
      "k =  4313, f(x) = 6.558295e-09, |df|=3.949189e-06\n",
      "k =  4314, f(x) = 6.551794e-09, |df|=2.778266e-06\n",
      "k =  4315, f(x) = 6.547000e-09, |df|=2.276879e-06\n",
      "k =  4316, f(x) = 6.540395e-09, |df|=3.073251e-06\n",
      "k =  4317, f(x) = 6.535233e-09, |df|=2.394629e-06\n",
      "k =  4318, f(x) = 6.529275e-09, |df|=3.460648e-06\n",
      "k =  4319, f(x) = 6.523571e-09, |df|=2.557969e-06\n",
      "k =  4320, f(x) = 6.518553e-09, |df|=3.960596e-06\n",
      "k =  4321, f(x) = 6.512052e-09, |df|=2.780517e-06\n",
      "k =  4322, f(x) = 6.507274e-09, |df|=2.274141e-06\n",
      "k =  4323, f(x) = 6.500732e-09, |df|=3.078075e-06\n",
      "k =  4324, f(x) = 6.495583e-09, |df|=2.393185e-06\n",
      "k =  4325, f(x) = 6.489693e-09, |df|=3.468552e-06\n",
      "k =  4326, f(x) = 6.483996e-09, |df|=2.558201e-06\n",
      "k =  4327, f(x) = 6.479055e-09, |df|=3.972131e-06\n",
      "k =  4328, f(x) = 6.472553e-09, |df|=2.782859e-06\n",
      "k =  4329, f(x) = 6.467792e-09, |df|=2.271458e-06\n",
      "k =  4330, f(x) = 6.461311e-09, |df|=3.083001e-06\n",
      "k =  4331, f(x) = 6.456174e-09, |df|=2.391807e-06\n",
      "k =  4332, f(x) = 6.450352e-09, |df|=3.476572e-06\n",
      "k =  4333, f(x) = 6.444662e-09, |df|=2.558510e-06\n",
      "k =  4334, f(x) = 6.439799e-09, |df|=3.983794e-06\n",
      "k =  4335, f(x) = 6.433295e-09, |df|=2.785292e-06\n",
      "k =  4336, f(x) = 6.428550e-09, |df|=2.268831e-06\n",
      "k =  4337, f(x) = 6.422131e-09, |df|=3.088030e-06\n",
      "k =  4338, f(x) = 6.417006e-09, |df|=2.390494e-06\n",
      "k =  4339, f(x) = 6.411252e-09, |df|=3.484707e-06\n",
      "k =  4340, f(x) = 6.405568e-09, |df|=2.558898e-06\n",
      "k =  4341, f(x) = 6.400782e-09, |df|=3.995586e-06\n",
      "k =  4342, f(x) = 6.394277e-09, |df|=2.787814e-06\n",
      "k =  4343, f(x) = 6.389547e-09, |df|=2.266259e-06\n",
      "k =  4344, f(x) = 6.383190e-09, |df|=3.093162e-06\n",
      "k =  4345, f(x) = 6.378077e-09, |df|=2.389249e-06\n",
      "k =  4346, f(x) = 6.372391e-09, |df|=3.492958e-06\n",
      "k =  4347, f(x) = 6.366713e-09, |df|=2.559364e-06\n",
      "k =  4348, f(x) = 6.362005e-09, |df|=4.007507e-06\n",
      "k =  4349, f(x) = 6.355497e-09, |df|=2.790428e-06\n",
      "k =  4350, f(x) = 6.350783e-09, |df|=2.263743e-06\n",
      "k =  4351, f(x) = 6.344487e-09, |df|=3.098398e-06\n",
      "k =  4352, f(x) = 6.339385e-09, |df|=2.388070e-06\n",
      "k =  4353, f(x) = 6.333767e-09, |df|=3.501324e-06\n",
      "k =  4354, f(x) = 6.328095e-09, |df|=2.559909e-06\n",
      "k =  4355, f(x) = 6.323464e-09, |df|=4.019556e-06\n",
      "k =  4356, f(x) = 6.316954e-09, |df|=2.793133e-06\n",
      "k =  4357, f(x) = 6.312255e-09, |df|=2.261283e-06\n",
      "k =  4358, f(x) = 6.306020e-09, |df|=3.103738e-06\n",
      "k =  4359, f(x) = 6.300930e-09, |df|=2.386957e-06\n",
      "k =  4360, f(x) = 6.295379e-09, |df|=3.509807e-06\n",
      "k =  4361, f(x) = 6.289713e-09, |df|=2.560533e-06\n",
      "k =  4362, f(x) = 6.284693e-09, |df|=2.966890e-06\n",
      "k =  4363, f(x) = 6.279793e-09, |df|=2.328455e-06\n",
      "k =  4364, f(x) = 6.273970e-09, |df|=3.332891e-06\n",
      "k =  4365, f(x) = 6.268576e-09, |df|=2.481603e-06\n",
      "k =  4366, f(x) = 6.263610e-09, |df|=3.806317e-06\n",
      "k =  4367, f(x) = 6.257490e-09, |df|=2.690799e-06\n",
      "k =  4368, f(x) = 6.252941e-09, |df|=2.215482e-06\n",
      "k =  4369, f(x) = 6.246587e-09, |df|=2.971239e-06\n",
      "k =  4370, f(x) = 6.241699e-09, |df|=2.326844e-06\n",
      "k =  4371, f(x) = 6.235941e-09, |df|=3.340188e-06\n",
      "k =  4372, f(x) = 6.230555e-09, |df|=2.481578e-06\n",
      "k =  4373, f(x) = 6.225662e-09, |df|=3.817095e-06\n",
      "k =  4374, f(x) = 6.219543e-09, |df|=2.692781e-06\n",
      "k =  4375, f(x) = 6.215009e-09, |df|=2.212702e-06\n",
      "k =  4376, f(x) = 6.208714e-09, |df|=2.975687e-06\n",
      "k =  4377, f(x) = 6.203839e-09, |df|=2.325295e-06\n",
      "k =  4378, f(x) = 6.198145e-09, |df|=3.347597e-06\n",
      "k =  4379, f(x) = 6.192766e-09, |df|=2.481628e-06\n",
      "k =  4380, f(x) = 6.187946e-09, |df|=3.827997e-06\n",
      "k =  4381, f(x) = 6.181826e-09, |df|=2.694849e-06\n",
      "k =  4382, f(x) = 6.177309e-09, |df|=2.209975e-06\n",
      "k =  4383, f(x) = 6.171072e-09, |df|=2.980235e-06\n",
      "k =  4384, f(x) = 6.166209e-09, |df|=2.323809e-06\n",
      "k =  4385, f(x) = 6.160580e-09, |df|=3.355117e-06\n",
      "k =  4386, f(x) = 6.155208e-09, |df|=2.481753e-06\n",
      "k =  4387, f(x) = 6.150461e-09, |df|=3.839024e-06\n",
      "k =  4388, f(x) = 6.144341e-09, |df|=2.697005e-06\n",
      "k =  4389, f(x) = 6.139838e-09, |df|=2.207302e-06\n",
      "k =  4390, f(x) = 6.133660e-09, |df|=2.984882e-06\n",
      "k =  4391, f(x) = 6.128809e-09, |df|=2.322387e-06\n",
      "k =  4392, f(x) = 6.123244e-09, |df|=3.362749e-06\n",
      "k =  4393, f(x) = 6.117879e-09, |df|=2.481953e-06\n",
      "k =  4394, f(x) = 6.113204e-09, |df|=3.850174e-06\n",
      "k =  4395, f(x) = 6.107084e-09, |df|=2.699249e-06\n",
      "k =  4396, f(x) = 6.102597e-09, |df|=2.204681e-06\n",
      "k =  4397, f(x) = 6.096477e-09, |df|=2.989628e-06\n",
      "k =  4398, f(x) = 6.091638e-09, |df|=2.321029e-06\n",
      "k =  4399, f(x) = 6.086136e-09, |df|=3.370493e-06\n",
      "k =  4400, f(x) = 6.080778e-09, |df|=2.482229e-06\n",
      "k =  4401, f(x) = 6.076176e-09, |df|=3.861449e-06\n",
      "k =  4402, f(x) = 6.070054e-09, |df|=2.701580e-06\n",
      "k =  4403, f(x) = 6.065582e-09, |df|=2.202114e-06\n",
      "k =  4404, f(x) = 6.059521e-09, |df|=2.994475e-06\n",
      "k =  4405, f(x) = 6.054693e-09, |df|=2.319734e-06\n",
      "k =  4406, f(x) = 6.049255e-09, |df|=3.378349e-06\n",
      "k =  4407, f(x) = 6.043903e-09, |df|=2.482580e-06\n",
      "k =  4408, f(x) = 6.039374e-09, |df|=3.872849e-06\n",
      "k =  4409, f(x) = 6.033251e-09, |df|=2.703999e-06\n",
      "k =  4410, f(x) = 6.028794e-09, |df|=2.199601e-06\n",
      "k =  4411, f(x) = 6.022790e-09, |df|=2.999421e-06\n",
      "k =  4412, f(x) = 6.017973e-09, |df|=2.318504e-06\n",
      "k =  4413, f(x) = 6.012600e-09, |df|=3.386317e-06\n",
      "k =  4414, f(x) = 6.007254e-09, |df|=2.483008e-06\n",
      "k =  4415, f(x) = 6.002797e-09, |df|=3.884374e-06\n",
      "k =  4416, f(x) = 5.996672e-09, |df|=2.706506e-06\n",
      "k =  4417, f(x) = 5.992230e-09, |df|=2.197142e-06\n",
      "k =  4418, f(x) = 5.986284e-09, |df|=3.004468e-06\n",
      "k =  4419, f(x) = 5.981478e-09, |df|=2.317339e-06\n",
      "k =  4420, f(x) = 5.976168e-09, |df|=3.394398e-06\n",
      "k =  4421, f(x) = 5.970828e-09, |df|=2.483511e-06\n",
      "k =  4422, f(x) = 5.966444e-09, |df|=3.896024e-06\n",
      "k =  4423, f(x) = 5.960317e-09, |df|=2.709101e-06\n",
      "k =  4424, f(x) = 5.955889e-09, |df|=2.194737e-06\n",
      "k =  4425, f(x) = 5.950000e-09, |df|=3.009616e-06\n",
      "k =  4426, f(x) = 5.945205e-09, |df|=2.316239e-06\n",
      "k =  4427, f(x) = 5.939960e-09, |df|=3.402591e-06\n",
      "k =  4428, f(x) = 5.934624e-09, |df|=2.484091e-06\n",
      "k =  4429, f(x) = 5.929885e-09, |df|=2.877190e-06\n",
      "k =  4430, f(x) = 5.925268e-09, |df|=2.259659e-06\n",
      "k =  4431, f(x) = 5.919767e-09, |df|=3.231357e-06\n",
      "k =  4432, f(x) = 5.914687e-09, |df|=2.407742e-06\n",
      "k =  4433, f(x) = 5.909990e-09, |df|=3.689579e-06\n",
      "k =  4434, f(x) = 5.904229e-09, |df|=2.610072e-06\n",
      "k =  4435, f(x) = 5.899942e-09, |df|=2.150420e-06\n",
      "k =  4436, f(x) = 5.893942e-09, |df|=2.881378e-06\n",
      "k =  4437, f(x) = 5.889337e-09, |df|=2.258075e-06\n",
      "k =  4438, f(x) = 5.883897e-09, |df|=3.238401e-06\n",
      "k =  4439, f(x) = 5.878824e-09, |df|=2.407694e-06\n",
      "k =  4440, f(x) = 5.874196e-09, |df|=3.699997e-06\n",
      "k =  4441, f(x) = 5.868435e-09, |df|=2.611967e-06\n",
      "k =  4442, f(x) = 5.864163e-09, |df|=2.147706e-06\n",
      "k =  4443, f(x) = 5.858219e-09, |df|=2.885662e-06\n",
      "k =  4444, f(x) = 5.853626e-09, |df|=2.256552e-06\n",
      "k =  4445, f(x) = 5.848246e-09, |df|=3.245553e-06\n",
      "k =  4446, f(x) = 5.843180e-09, |df|=2.407719e-06\n",
      "k =  4447, f(x) = 5.838621e-09, |df|=3.710535e-06\n",
      "k =  4448, f(x) = 5.832860e-09, |df|=2.613947e-06\n",
      "k =  4449, f(x) = 5.828602e-09, |df|=2.145043e-06\n",
      "k =  4450, f(x) = 5.822714e-09, |df|=2.890043e-06\n",
      "k =  4451, f(x) = 5.818132e-09, |df|=2.255090e-06\n",
      "k =  4452, f(x) = 5.812813e-09, |df|=3.252814e-06\n",
      "k =  4453, f(x) = 5.807754e-09, |df|=2.407817e-06\n",
      "k =  4454, f(x) = 5.803263e-09, |df|=3.721193e-06\n",
      "k =  4455, f(x) = 5.797502e-09, |df|=2.616011e-06\n",
      "k =  4456, f(x) = 5.793259e-09, |df|=2.142432e-06\n",
      "k =  4457, f(x) = 5.787425e-09, |df|=2.894520e-06\n",
      "k =  4458, f(x) = 5.782855e-09, |df|=2.253690e-06\n",
      "k =  4459, f(x) = 5.777596e-09, |df|=3.260183e-06\n",
      "k =  4460, f(x) = 5.772544e-09, |df|=2.407987e-06\n",
      "k =  4461, f(x) = 5.768121e-09, |df|=3.731972e-06\n",
      "k =  4462, f(x) = 5.762360e-09, |df|=2.618159e-06\n",
      "k =  4463, f(x) = 5.758131e-09, |df|=2.139872e-06\n",
      "k =  4464, f(x) = 5.752352e-09, |df|=2.899093e-06\n",
      "k =  4465, f(x) = 5.747793e-09, |df|=2.252352e-06\n",
      "k =  4466, f(x) = 5.742595e-09, |df|=3.267661e-06\n",
      "k =  4467, f(x) = 5.737549e-09, |df|=2.408230e-06\n",
      "k =  4468, f(x) = 5.733194e-09, |df|=3.742872e-06\n",
      "k =  4469, f(x) = 5.727432e-09, |df|=2.620393e-06\n",
      "k =  4470, f(x) = 5.723218e-09, |df|=2.137365e-06\n",
      "k =  4471, f(x) = 5.717494e-09, |df|=2.903763e-06\n",
      "k =  4472, f(x) = 5.712945e-09, |df|=2.251076e-06\n",
      "k =  4473, f(x) = 5.707807e-09, |df|=3.275247e-06\n",
      "k =  4474, f(x) = 5.702767e-09, |df|=2.408547e-06\n",
      "k =  4475, f(x) = 5.698481e-09, |df|=3.753892e-06\n",
      "k =  4476, f(x) = 5.692718e-09, |df|=2.622712e-06\n",
      "k =  4477, f(x) = 5.688517e-09, |df|=2.134909e-06\n",
      "k =  4478, f(x) = 5.682848e-09, |df|=2.908531e-06\n",
      "k =  4479, f(x) = 5.678310e-09, |df|=2.249862e-06\n",
      "k =  4480, f(x) = 5.673232e-09, |df|=3.282942e-06\n",
      "k =  4481, f(x) = 5.668198e-09, |df|=2.408937e-06\n",
      "k =  4482, f(x) = 5.663980e-09, |df|=3.765034e-06\n",
      "k =  4483, f(x) = 5.658215e-09, |df|=2.625116e-06\n",
      "k =  4484, f(x) = 5.654029e-09, |df|=2.132506e-06\n",
      "k =  4485, f(x) = 5.648414e-09, |df|=2.913396e-06\n",
      "k =  4486, f(x) = 5.643887e-09, |df|=2.248711e-06\n",
      "k =  4487, f(x) = 5.638869e-09, |df|=3.290746e-06\n",
      "k =  4488, f(x) = 5.633840e-09, |df|=2.409401e-06\n",
      "k =  4489, f(x) = 5.629690e-09, |df|=3.776297e-06\n",
      "k =  4490, f(x) = 5.623923e-09, |df|=2.627606e-06\n",
      "k =  4491, f(x) = 5.619751e-09, |df|=2.130156e-06\n",
      "k =  4492, f(x) = 5.614190e-09, |df|=2.918358e-06\n",
      "k =  4493, f(x) = 5.609673e-09, |df|=2.247622e-06\n",
      "k =  4494, f(x) = 5.604715e-09, |df|=3.298660e-06\n",
      "k =  4495, f(x) = 5.599691e-09, |df|=2.409940e-06\n",
      "k =  4496, f(x) = 5.595610e-09, |df|=3.787682e-06\n",
      "k =  4497, f(x) = 5.589841e-09, |df|=2.630182e-06\n",
      "k =  4498, f(x) = 5.585681e-09, |df|=2.127858e-06\n",
      "k =  4499, f(x) = 5.580175e-09, |df|=2.923417e-06\n",
      "k =  4500, f(x) = 5.575668e-09, |df|=2.246597e-06\n",
      "k =  4501, f(x) = 5.570770e-09, |df|=3.306682e-06\n",
      "k =  4502, f(x) = 5.565751e-09, |df|=2.410553e-06\n",
      "k =  4503, f(x) = 5.561315e-09, |df|=2.794245e-06\n",
      "k =  4504, f(x) = 5.556977e-09, |df|=2.191345e-06\n",
      "k =  4505, f(x) = 5.551836e-09, |df|=3.139725e-06\n",
      "k =  4506, f(x) = 5.547059e-09, |df|=2.336018e-06\n",
      "k =  4507, f(x) = 5.542681e-09, |df|=3.586500e-06\n",
      "k =  4508, f(x) = 5.537258e-09, |df|=2.533588e-06\n",
      "k =  4509, f(x) = 5.533232e-09, |df|=2.084623e-06\n",
      "k =  4510, f(x) = 5.527619e-09, |df|=2.798371e-06\n",
      "k =  4511, f(x) = 5.523292e-09, |df|=2.189848e-06\n",
      "k =  4512, f(x) = 5.518209e-09, |df|=3.146630e-06\n",
      "k =  4513, f(x) = 5.513438e-09, |df|=2.336019e-06\n",
      "k =  4514, f(x) = 5.509125e-09, |df|=3.596686e-06\n",
      "k =  4515, f(x) = 5.503702e-09, |df|=2.535482e-06\n",
      "k =  4516, f(x) = 5.499690e-09, |df|=2.082024e-06\n",
      "k =  4517, f(x) = 5.494129e-09, |df|=2.802590e-06\n",
      "k =  4518, f(x) = 5.489813e-09, |df|=2.188410e-06\n",
      "k =  4519, f(x) = 5.484787e-09, |df|=3.153640e-06\n",
      "k =  4520, f(x) = 5.480023e-09, |df|=2.336091e-06\n",
      "k =  4521, f(x) = 5.475774e-09, |df|=3.606988e-06\n",
      "k =  4522, f(x) = 5.470351e-09, |df|=2.537457e-06\n",
      "k =  4523, f(x) = 5.466352e-09, |df|=2.079474e-06\n",
      "k =  4524, f(x) = 5.460844e-09, |df|=2.806903e-06\n",
      "k =  4525, f(x) = 5.456538e-09, |df|=2.187032e-06\n",
      "k =  4526, f(x) = 5.451569e-09, |df|=3.160755e-06\n",
      "k =  4527, f(x) = 5.446811e-09, |df|=2.336232e-06\n",
      "k =  4528, f(x) = 5.442627e-09, |df|=3.617408e-06\n",
      "k =  4529, f(x) = 5.437204e-09, |df|=2.539515e-06\n",
      "k =  4530, f(x) = 5.433219e-09, |df|=2.076974e-06\n",
      "k =  4531, f(x) = 5.427762e-09, |df|=2.811309e-06\n",
      "k =  4532, f(x) = 5.423467e-09, |df|=2.185714e-06\n",
      "k =  4533, f(x) = 5.418554e-09, |df|=3.167975e-06\n",
      "k =  4534, f(x) = 5.413802e-09, |df|=2.336445e-06\n",
      "k =  4535, f(x) = 5.409682e-09, |df|=3.627945e-06\n",
      "k =  4536, f(x) = 5.404258e-09, |df|=2.541655e-06\n",
      "k =  4537, f(x) = 5.400287e-09, |df|=2.074524e-06\n",
      "k =  4538, f(x) = 5.394882e-09, |df|=2.815810e-06\n",
      "k =  4539, f(x) = 5.390597e-09, |df|=2.184456e-06\n",
      "k =  4540, f(x) = 5.385741e-09, |df|=3.175301e-06\n",
      "k =  4541, f(x) = 5.380995e-09, |df|=2.336729e-06\n",
      "k =  4542, f(x) = 5.376939e-09, |df|=3.638599e-06\n",
      "k =  4543, f(x) = 5.371514e-09, |df|=2.543877e-06\n",
      "k =  4544, f(x) = 5.367556e-09, |df|=2.072125e-06\n",
      "k =  4545, f(x) = 5.362202e-09, |df|=2.820404e-06\n",
      "k =  4546, f(x) = 5.357928e-09, |df|=2.183258e-06\n",
      "k =  4547, f(x) = 5.353129e-09, |df|=3.182732e-06\n",
      "k =  4548, f(x) = 5.348388e-09, |df|=2.337084e-06\n",
      "k =  4549, f(x) = 5.344397e-09, |df|=3.649370e-06\n",
      "k =  4550, f(x) = 5.338970e-09, |df|=2.546183e-06\n",
      "k =  4551, f(x) = 5.335025e-09, |df|=2.069777e-06\n",
      "k =  4552, f(x) = 5.329723e-09, |df|=2.825093e-06\n",
      "k =  4553, f(x) = 5.325458e-09, |df|=2.182121e-06\n",
      "k =  4554, f(x) = 5.320716e-09, |df|=3.190269e-06\n",
      "k =  4555, f(x) = 5.315980e-09, |df|=2.337511e-06\n",
      "k =  4556, f(x) = 5.312053e-09, |df|=3.660259e-06\n",
      "k =  4557, f(x) = 5.306625e-09, |df|=2.548571e-06\n",
      "k =  4558, f(x) = 5.302693e-09, |df|=2.067480e-06\n",
      "k =  4559, f(x) = 5.297441e-09, |df|=2.829876e-06\n",
      "k =  4560, f(x) = 5.293186e-09, |df|=2.181045e-06\n",
      "k =  4561, f(x) = 5.288501e-09, |df|=3.197912e-06\n",
      "k =  4562, f(x) = 5.283770e-09, |df|=2.338010e-06\n",
      "k =  4563, f(x) = 5.279907e-09, |df|=3.671266e-06\n",
      "k =  4564, f(x) = 5.274477e-09, |df|=2.551043e-06\n",
      "k =  4565, f(x) = 5.270557e-09, |df|=2.065234e-06\n",
      "k =  4566, f(x) = 5.265357e-09, |df|=2.834754e-06\n",
      "k =  4567, f(x) = 5.261111e-09, |df|=2.180030e-06\n",
      "k =  4568, f(x) = 5.256482e-09, |df|=3.205661e-06\n",
      "k =  4569, f(x) = 5.251756e-09, |df|=2.338581e-06\n",
      "k =  4570, f(x) = 5.247569e-09, |df|=2.709756e-06\n",
      "k =  4571, f(x) = 5.243481e-09, |df|=2.126593e-06\n",
      "k =  4572, f(x) = 5.238625e-09, |df|=3.044066e-06\n",
      "k =  4573, f(x) = 5.234126e-09, |df|=2.266483e-06\n",
      "k =  4574, f(x) = 5.229985e-09, |df|=3.476495e-06\n",
      "k =  4575, f(x) = 5.224880e-09, |df|=2.457570e-06\n",
      "k =  4576, f(x) = 5.221085e-09, |df|=2.023399e-06\n",
      "k =  4577, f(x) = 5.215786e-09, |df|=2.713729e-06\n",
      "k =  4578, f(x) = 5.211709e-09, |df|=2.125122e-06\n",
      "k =  4579, f(x) = 5.206906e-09, |df|=3.050732e-06\n",
      "k =  4580, f(x) = 5.202413e-09, |df|=2.266462e-06\n",
      "k =  4581, f(x) = 5.198333e-09, |df|=3.486340e-06\n",
      "k =  4582, f(x) = 5.193228e-09, |df|=2.459381e-06\n",
      "k =  4583, f(x) = 5.189447e-09, |df|=2.020861e-06\n",
      "k =  4584, f(x) = 5.184196e-09, |df|=2.717793e-06\n",
      "k =  4585, f(x) = 5.180130e-09, |df|=2.123708e-06\n",
      "k =  4586, f(x) = 5.175381e-09, |df|=3.057499e-06\n",
      "k =  4587, f(x) = 5.170895e-09, |df|=2.266509e-06\n",
      "k =  4588, f(x) = 5.166875e-09, |df|=3.496298e-06\n",
      "k =  4589, f(x) = 5.161770e-09, |df|=2.461271e-06\n",
      "k =  4590, f(x) = 5.158002e-09, |df|=2.018371e-06\n",
      "k =  4591, f(x) = 5.152800e-09, |df|=2.721948e-06\n",
      "k =  4592, f(x) = 5.148744e-09, |df|=2.122352e-06\n",
      "k =  4593, f(x) = 5.144049e-09, |df|=3.064369e-06\n",
      "k =  4594, f(x) = 5.139568e-09, |df|=2.266624e-06\n",
      "k =  4595, f(x) = 5.135609e-09, |df|=3.506370e-06\n",
      "k =  4596, f(x) = 5.130504e-09, |df|=2.463241e-06\n",
      "k =  4597, f(x) = 5.126749e-09, |df|=2.015929e-06\n",
      "k =  4598, f(x) = 5.121596e-09, |df|=2.726193e-06\n",
      "k =  4599, f(x) = 5.117550e-09, |df|=2.121054e-06\n",
      "k =  4600, f(x) = 5.112908e-09, |df|=3.071341e-06\n",
      "k =  4601, f(x) = 5.108433e-09, |df|=2.266808e-06\n",
      "k =  4602, f(x) = 5.104534e-09, |df|=3.516556e-06\n",
      "k =  4603, f(x) = 5.099429e-09, |df|=2.465291e-06\n",
      "k =  4604, f(x) = 5.095686e-09, |df|=2.013537e-06\n",
      "k =  4605, f(x) = 5.090582e-09, |df|=2.730529e-06\n",
      "k =  4606, f(x) = 5.086546e-09, |df|=2.119814e-06\n",
      "k =  4607, f(x) = 5.081957e-09, |df|=3.078415e-06\n",
      "k =  4608, f(x) = 5.077488e-09, |df|=2.267060e-06\n",
      "k =  4609, f(x) = 5.073650e-09, |df|=3.526855e-06\n",
      "k =  4610, f(x) = 5.068544e-09, |df|=2.467421e-06\n",
      "k =  4611, f(x) = 5.064813e-09, |df|=2.011193e-06\n",
      "k =  4612, f(x) = 5.059758e-09, |df|=2.734957e-06\n",
      "k =  4613, f(x) = 5.055731e-09, |df|=2.118633e-06\n",
      "k =  4614, f(x) = 5.051196e-09, |df|=3.085591e-06\n",
      "k =  4615, f(x) = 5.046731e-09, |df|=2.267382e-06\n",
      "k =  4616, f(x) = 5.042954e-09, |df|=3.537268e-06\n",
      "k =  4617, f(x) = 5.037847e-09, |df|=2.469632e-06\n",
      "k =  4618, f(x) = 5.034129e-09, |df|=2.008899e-06\n",
      "k =  4619, f(x) = 5.029122e-09, |df|=2.739476e-06\n",
      "k =  4620, f(x) = 5.025104e-09, |df|=2.117510e-06\n",
      "k =  4621, f(x) = 5.020622e-09, |df|=3.092870e-06\n",
      "k =  4622, f(x) = 5.016163e-09, |df|=2.267773e-06\n",
      "k =  4623, f(x) = 5.012446e-09, |df|=3.547796e-06\n",
      "k =  4624, f(x) = 5.007337e-09, |df|=2.471922e-06\n",
      "k =  4625, f(x) = 5.003632e-09, |df|=2.006653e-06\n",
      "k =  4626, f(x) = 4.998672e-09, |df|=2.744087e-06\n",
      "k =  4627, f(x) = 4.994664e-09, |df|=2.116447e-06\n",
      "k =  4628, f(x) = 4.990236e-09, |df|=3.100252e-06\n",
      "k =  4629, f(x) = 4.985781e-09, |df|=2.268234e-06\n",
      "k =  4630, f(x) = 4.982125e-09, |df|=3.558437e-06\n",
      "k =  4631, f(x) = 4.977014e-09, |df|=2.474294e-06\n",
      "k =  4632, f(x) = 4.973320e-09, |df|=2.004458e-06\n",
      "k =  4633, f(x) = 4.968409e-09, |df|=2.748789e-06\n",
      "k =  4634, f(x) = 4.964410e-09, |df|=2.115443e-06\n",
      "k =  4635, f(x) = 4.960035e-09, |df|=3.107736e-06\n",
      "k =  4636, f(x) = 4.955584e-09, |df|=2.268765e-06\n",
      "k =  4637, f(x) = 4.951632e-09, |df|=2.627830e-06\n",
      "k =  4638, f(x) = 4.947781e-09, |df|=2.063761e-06\n",
      "k =  4639, f(x) = 4.943193e-09, |df|=2.951330e-06\n",
      "k =  4640, f(x) = 4.938955e-09, |df|=2.199026e-06\n",
      "k =  4641, f(x) = 4.935038e-09, |df|=3.369872e-06\n",
      "k =  4642, f(x) = 4.930233e-09, |df|=2.383840e-06\n",
      "k =  4643, f(x) = 4.926656e-09, |df|=1.963978e-06\n",
      "k =  4644, f(x) = 4.921653e-09, |df|=2.631657e-06\n",
      "k =  4645, f(x) = 4.917812e-09, |df|=2.062315e-06\n",
      "k =  4646, f(x) = 4.913274e-09, |df|=2.957765e-06\n",
      "k =  4647, f(x) = 4.909043e-09, |df|=2.198983e-06\n",
      "k =  4648, f(x) = 4.905183e-09, |df|=3.379388e-06\n",
      "k =  4649, f(x) = 4.900378e-09, |df|=2.385572e-06\n",
      "k =  4650, f(x) = 4.896814e-09, |df|=1.961500e-06\n",
      "k =  4651, f(x) = 4.891857e-09, |df|=2.635571e-06\n",
      "k =  4652, f(x) = 4.888025e-09, |df|=2.060925e-06\n",
      "k =  4653, f(x) = 4.883538e-09, |df|=2.964299e-06\n",
      "k =  4654, f(x) = 4.879313e-09, |df|=2.199007e-06\n",
      "k =  4655, f(x) = 4.875510e-09, |df|=3.389014e-06\n",
      "k =  4656, f(x) = 4.870705e-09, |df|=2.387381e-06\n",
      "k =  4657, f(x) = 4.867154e-09, |df|=1.959068e-06\n",
      "k =  4658, f(x) = 4.862242e-09, |df|=2.639572e-06\n",
      "k =  4659, f(x) = 4.858421e-09, |df|=2.059591e-06\n",
      "k =  4660, f(x) = 4.853985e-09, |df|=2.970931e-06\n",
      "k =  4661, f(x) = 4.849765e-09, |df|=2.199097e-06\n",
      "k =  4662, f(x) = 4.846019e-09, |df|=3.398750e-06\n",
      "k =  4663, f(x) = 4.841214e-09, |df|=2.389267e-06\n",
      "k =  4664, f(x) = 4.837675e-09, |df|=1.956684e-06\n",
      "k =  4665, f(x) = 4.832809e-09, |df|=2.643662e-06\n",
      "k =  4666, f(x) = 4.828997e-09, |df|=2.058313e-06\n",
      "k =  4667, f(x) = 4.824611e-09, |df|=2.977663e-06\n",
      "k =  4668, f(x) = 4.820397e-09, |df|=2.199253e-06\n",
      "k =  4669, f(x) = 4.816708e-09, |df|=3.408596e-06\n",
      "k =  4670, f(x) = 4.811903e-09, |df|=2.391231e-06\n",
      "k =  4671, f(x) = 4.808375e-09, |df|=1.954347e-06\n",
      "k =  4672, f(x) = 4.803556e-09, |df|=2.647841e-06\n",
      "k =  4673, f(x) = 4.799753e-09, |df|=2.057091e-06\n",
      "k =  4674, f(x) = 4.795417e-09, |df|=2.984494e-06\n",
      "k =  4675, f(x) = 4.791208e-09, |df|=2.199476e-06\n",
      "k =  4676, f(x) = 4.787577e-09, |df|=3.418552e-06\n",
      "k =  4677, f(x) = 4.782770e-09, |df|=2.393272e-06\n",
      "k =  4678, f(x) = 4.779255e-09, |df|=1.952058e-06\n",
      "k =  4679, f(x) = 4.774481e-09, |df|=2.652107e-06\n",
      "k =  4680, f(x) = 4.770687e-09, |df|=2.055926e-06\n",
      "k =  4681, f(x) = 4.766402e-09, |df|=2.991424e-06\n",
      "k =  4682, f(x) = 4.762198e-09, |df|=2.199766e-06\n",
      "k =  4683, f(x) = 4.758623e-09, |df|=3.428619e-06\n",
      "k =  4684, f(x) = 4.753816e-09, |df|=2.395390e-06\n",
      "k =  4685, f(x) = 4.750312e-09, |df|=1.949816e-06\n",
      "k =  4686, f(x) = 4.745584e-09, |df|=2.656463e-06\n",
      "k =  4687, f(x) = 4.741799e-09, |df|=2.054819e-06\n",
      "k =  4688, f(x) = 4.737564e-09, |df|=2.998453e-06\n",
      "k =  4689, f(x) = 4.733364e-09, |df|=2.200124e-06\n",
      "k =  4690, f(x) = 4.729847e-09, |df|=3.438796e-06\n",
      "k =  4691, f(x) = 4.725038e-09, |df|=2.397587e-06\n",
      "k =  4692, f(x) = 4.721546e-09, |df|=1.947622e-06\n",
      "k =  4693, f(x) = 4.716863e-09, |df|=2.660907e-06\n",
      "k =  4694, f(x) = 4.713087e-09, |df|=2.053768e-06\n",
      "k =  4695, f(x) = 4.708902e-09, |df|=3.005582e-06\n",
      "k =  4696, f(x) = 4.704707e-09, |df|=2.200549e-06\n",
      "k =  4697, f(x) = 4.701246e-09, |df|=3.449085e-06\n",
      "k =  4698, f(x) = 4.696436e-09, |df|=2.399862e-06\n",
      "k =  4699, f(x) = 4.692955e-09, |df|=1.945476e-06\n",
      "k =  4700, f(x) = 4.688317e-09, |df|=2.665440e-06\n",
      "k =  4701, f(x) = 4.684550e-09, |df|=2.052775e-06\n",
      "k =  4702, f(x) = 4.680415e-09, |df|=3.012811e-06\n",
      "k =  4703, f(x) = 4.676224e-09, |df|=2.201041e-06\n",
      "k =  4704, f(x) = 4.672821e-09, |df|=3.459484e-06\n",
      "k =  4705, f(x) = 4.668008e-09, |df|=2.402216e-06\n",
      "k =  4706, f(x) = 4.664539e-09, |df|=1.943378e-06\n",
      "k =  4707, f(x) = 4.659946e-09, |df|=2.670062e-06\n",
      "k =  4708, f(x) = 4.656187e-09, |df|=2.051839e-06\n",
      "k =  4709, f(x) = 4.652102e-09, |df|=3.020140e-06\n",
      "k =  4710, f(x) = 4.647915e-09, |df|=2.201602e-06\n",
      "k =  4711, f(x) = 4.644216e-09, |df|=2.552075e-06\n",
      "k =  4712, f(x) = 4.640597e-09, |df|=2.001370e-06\n",
      "k =  4713, f(x) = 4.636310e-09, |df|=2.867640e-06\n",
      "k =  4714, f(x) = 4.632325e-09, |df|=2.133521e-06\n",
      "k =  4715, f(x) = 4.628674e-09, |df|=3.275726e-06\n",
      "k =  4716, f(x) = 4.624150e-09, |df|=2.313987e-06\n",
      "k =  4717, f(x) = 4.620792e-09, |df|=1.903887e-06\n",
      "k =  4718, f(x) = 4.616111e-09, |df|=2.555844e-06\n",
      "k =  4719, f(x) = 4.612501e-09, |df|=2.000004e-06\n",
      "k =  4720, f(x) = 4.608262e-09, |df|=2.873948e-06\n",
      "k =  4721, f(x) = 4.604283e-09, |df|=2.133522e-06\n",
      "k =  4722, f(x) = 4.600685e-09, |df|=3.285030e-06\n",
      "k =  4723, f(x) = 4.596162e-09, |df|=2.315717e-06\n",
      "k =  4724, f(x) = 4.592815e-09, |df|=1.901513e-06\n",
      "k =  4725, f(x) = 4.588177e-09, |df|=2.559699e-06\n",
      "k =  4726, f(x) = 4.584577e-09, |df|=1.998691e-06\n",
      "k =  4727, f(x) = 4.580385e-09, |df|=2.880352e-06\n",
      "k =  4728, f(x) = 4.576412e-09, |df|=2.133588e-06\n",
      "k =  4729, f(x) = 4.572868e-09, |df|=3.294441e-06\n",
      "k =  4730, f(x) = 4.568345e-09, |df|=2.317522e-06\n",
      "k =  4731, f(x) = 4.565009e-09, |df|=1.899185e-06\n",
      "k =  4732, f(x) = 4.560415e-09, |df|=2.563639e-06\n",
      "k =  4733, f(x) = 4.556824e-09, |df|=1.997434e-06\n",
      "k =  4734, f(x) = 4.552679e-09, |df|=2.886851e-06\n",
      "k =  4735, f(x) = 4.548711e-09, |df|=2.133719e-06\n",
      "k =  4736, f(x) = 4.545221e-09, |df|=3.303959e-06\n",
      "k =  4737, f(x) = 4.540697e-09, |df|=2.319403e-06\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "k =  4738, f(x) = 4.537373e-09, |df|=1.896902e-06\n",
      "k =  4739, f(x) = 4.532822e-09, |df|=2.567665e-06\n",
      "k =  4740, f(x) = 4.529239e-09, |df|=1.996230e-06\n",
      "k =  4741, f(x) = 4.525142e-09, |df|=2.893447e-06\n",
      "k =  4742, f(x) = 4.521179e-09, |df|=2.133914e-06\n",
      "k =  4743, f(x) = 4.517742e-09, |df|=3.313583e-06\n",
      "k =  4744, f(x) = 4.513218e-09, |df|=2.321358e-06\n",
      "k =  4745, f(x) = 4.509905e-09, |df|=1.894666e-06\n",
      "k =  4746, f(x) = 4.505397e-09, |df|=2.571776e-06\n",
      "k =  4747, f(x) = 4.501823e-09, |df|=1.995082e-06\n",
      "k =  4748, f(x) = 4.497774e-09, |df|=2.900139e-06\n",
      "k =  4749, f(x) = 4.493815e-09, |df|=2.134174e-06\n",
      "k =  4750, f(x) = 4.490432e-09, |df|=3.323315e-06\n",
      "k =  4751, f(x) = 4.485907e-09, |df|=2.323389e-06\n",
      "k =  4752, f(x) = 4.482605e-09, |df|=1.892475e-06\n",
      "k =  4753, f(x) = 4.478140e-09, |df|=2.575974e-06\n",
      "k =  4754, f(x) = 4.474575e-09, |df|=1.993989e-06\n",
      "k =  4755, f(x) = 4.470572e-09, |df|=2.906927e-06\n",
      "k =  4756, f(x) = 4.466618e-09, |df|=2.134500e-06\n",
      "k =  4757, f(x) = 4.463289e-09, |df|=3.333154e-06\n",
      "k =  4758, f(x) = 4.458763e-09, |df|=2.325496e-06\n",
      "k =  4759, f(x) = 4.455472e-09, |df|=1.890331e-06\n",
      "k =  4760, f(x) = 4.451050e-09, |df|=2.580257e-06\n",
      "k =  4761, f(x) = 4.447492e-09, |df|=1.992952e-06\n",
      "k =  4762, f(x) = 4.443537e-09, |df|=2.913812e-06\n",
      "k =  4763, f(x) = 4.439587e-09, |df|=2.134890e-06\n",
      "k =  4764, f(x) = 4.436312e-09, |df|=3.343101e-06\n",
      "k =  4765, f(x) = 4.431784e-09, |df|=2.327678e-06\n",
      "k =  4766, f(x) = 4.428504e-09, |df|=1.888234e-06\n",
      "k =  4767, f(x) = 4.424124e-09, |df|=2.584627e-06\n",
      "k =  4768, f(x) = 4.420575e-09, |df|=1.991970e-06\n",
      "k =  4769, f(x) = 4.416667e-09, |df|=2.920794e-06\n",
      "k =  4770, f(x) = 4.412721e-09, |df|=2.135347e-06\n",
      "k =  4771, f(x) = 4.409500e-09, |df|=3.353155e-06\n",
      "k =  4772, f(x) = 4.404970e-09, |df|=2.329936e-06\n",
      "k =  4773, f(x) = 4.401701e-09, |df|=1.886183e-06\n",
      "k =  4774, f(x) = 4.397364e-09, |df|=2.589083e-06\n",
      "k =  4775, f(x) = 4.393822e-09, |df|=1.991044e-06\n",
      "k =  4776, f(x) = 4.389961e-09, |df|=2.927873e-06\n",
      "k =  4777, f(x) = 4.386019e-09, |df|=2.135869e-06\n",
      "k =  4778, f(x) = 4.382527e-09, |df|=2.474908e-06\n",
      "k =  4779, f(x) = 4.379117e-09, |df|=1.942232e-06\n",
      "k =  4780, f(x) = 4.375067e-09, |df|=2.780271e-06\n",
      "k =  4781, f(x) = 4.371314e-09, |df|=2.070014e-06\n",
      "k =  4782, f(x) = 4.367860e-09, |df|=3.175252e-06\n",
      "k =  4783, f(x) = 4.363602e-09, |df|=2.244557e-06\n",
      "k =  4784, f(x) = 4.360437e-09, |df|=1.847971e-06\n",
      "k =  4785, f(x) = 4.356017e-09, |df|=2.478539e-06\n",
      "k =  4786, f(x) = 4.352616e-09, |df|=1.940889e-06\n",
      "k =  4787, f(x) = 4.348611e-09, |df|=2.786360e-06\n",
      "k =  4788, f(x) = 4.344863e-09, |df|=2.069995e-06\n",
      "k =  4789, f(x) = 4.341460e-09, |df|=3.184246e-06\n",
      "k =  4790, f(x) = 4.337202e-09, |df|=2.246212e-06\n",
      "k =  4791, f(x) = 4.334048e-09, |df|=1.845653e-06\n",
      "k =  4792, f(x) = 4.329669e-09, |df|=2.482251e-06\n",
      "k =  4793, f(x) = 4.326277e-09, |df|=1.939599e-06\n",
      "k =  4794, f(x) = 4.322317e-09, |df|=2.792542e-06\n",
      "k =  4795, f(x) = 4.318574e-09, |df|=2.070038e-06\n",
      "k =  4796, f(x) = 4.315222e-09, |df|=3.193342e-06\n",
      "k =  4797, f(x) = 4.310964e-09, |df|=2.247940e-06\n",
      "k =  4798, f(x) = 4.307821e-09, |df|=1.843380e-06\n",
      "k =  4799, f(x) = 4.303482e-09, |df|=2.486047e-06\n",
      "k =  4800, f(x) = 4.300099e-09, |df|=1.938361e-06\n",
      "k =  4801, f(x) = 4.296183e-09, |df|=2.798818e-06\n",
      "k =  4802, f(x) = 4.292446e-09, |df|=2.070144e-06\n",
      "k =  4803, f(x) = 4.289144e-09, |df|=3.202542e-06\n",
      "k =  4804, f(x) = 4.284886e-09, |df|=2.249740e-06\n",
      "k =  4805, f(x) = 4.281753e-09, |df|=1.841151e-06\n",
      "k =  4806, f(x) = 4.277455e-09, |df|=2.489925e-06\n",
      "k =  4807, f(x) = 4.274080e-09, |df|=1.937176e-06\n",
      "k =  4808, f(x) = 4.270209e-09, |df|=2.805186e-06\n",
      "k =  4809, f(x) = 4.266476e-09, |df|=2.070313e-06\n",
      "k =  4810, f(x) = 4.263225e-09, |df|=3.211846e-06\n",
      "k =  4811, f(x) = 4.258966e-09, |df|=2.251614e-06\n",
      "k =  4812, f(x) = 4.255845e-09, |df|=1.838966e-06\n",
      "k =  4813, f(x) = 4.251588e-09, |df|=2.493887e-06\n",
      "k =  4814, f(x) = 4.248221e-09, |df|=1.936045e-06\n",
      "k =  4815, f(x) = 4.244394e-09, |df|=2.811648e-06\n",
      "k =  4816, f(x) = 4.240666e-09, |df|=2.070545e-06\n",
      "k =  4817, f(x) = 4.237465e-09, |df|=3.221254e-06\n",
      "k =  4818, f(x) = 4.233206e-09, |df|=2.253560e-06\n",
      "k =  4819, f(x) = 4.230094e-09, |df|=1.836826e-06\n",
      "k =  4820, f(x) = 4.225878e-09, |df|=2.497932e-06\n",
      "k =  4821, f(x) = 4.222518e-09, |df|=1.934967e-06\n",
      "k =  4822, f(x) = 4.218736e-09, |df|=2.818204e-06\n",
      "k =  4823, f(x) = 4.215012e-09, |df|=2.070840e-06\n",
      "k =  4824, f(x) = 4.211862e-09, |df|=3.230766e-06\n",
      "k =  4825, f(x) = 4.207602e-09, |df|=2.255580e-06\n",
      "k =  4826, f(x) = 4.204501e-09, |df|=1.834731e-06\n",
      "k =  4827, f(x) = 4.200325e-09, |df|=2.502060e-06\n",
      "k =  4828, f(x) = 4.196973e-09, |df|=1.933942e-06\n",
      "k =  4829, f(x) = 4.193236e-09, |df|=2.824853e-06\n",
      "k =  4830, f(x) = 4.189516e-09, |df|=2.071198e-06\n",
      "k =  4831, f(x) = 4.186416e-09, |df|=3.240382e-06\n",
      "k =  4832, f(x) = 4.182155e-09, |df|=2.257673e-06\n",
      "k =  4833, f(x) = 4.179064e-09, |df|=1.832681e-06\n",
      "k =  4834, f(x) = 4.174928e-09, |df|=2.506272e-06\n",
      "k =  4835, f(x) = 4.171584e-09, |df|=1.932972e-06\n",
      "k =  4836, f(x) = 4.167891e-09, |df|=2.831596e-06\n",
      "k =  4837, f(x) = 4.164175e-09, |df|=2.071620e-06\n",
      "k =  4838, f(x) = 4.161126e-09, |df|=3.250103e-06\n",
      "k =  4839, f(x) = 4.156863e-09, |df|=2.259840e-06\n",
      "k =  4840, f(x) = 4.153782e-09, |df|=1.830677e-06\n",
      "k =  4841, f(x) = 4.149686e-09, |df|=2.510568e-06\n",
      "k =  4842, f(x) = 4.146350e-09, |df|=1.932055e-06\n",
      "k =  4843, f(x) = 4.142701e-09, |df|=2.838433e-06\n",
      "k =  4844, f(x) = 4.138989e-09, |df|=2.072105e-06\n",
      "k =  4845, f(x) = 4.135692e-09, |df|=2.400083e-06\n",
      "k =  4846, f(x) = 4.132480e-09, |df|=1.884847e-06\n",
      "k =  4847, f(x) = 4.128653e-09, |df|=2.695571e-06\n",
      "k =  4848, f(x) = 4.125119e-09, |df|=2.008404e-06\n",
      "k =  4849, f(x) = 4.121852e-09, |df|=3.077869e-06\n",
      "k =  4850, f(x) = 4.117843e-09, |df|=2.177219e-06\n",
      "k =  4851, f(x) = 4.114860e-09, |df|=1.793702e-06\n",
      "k =  4852, f(x) = 4.110687e-09, |df|=2.403579e-06\n",
      "k =  4853, f(x) = 4.107483e-09, |df|=1.883528e-06\n",
      "k =  4854, f(x) = 4.103699e-09, |df|=2.701450e-06\n",
      "k =  4855, f(x) = 4.100169e-09, |df|=2.008366e-06\n",
      "k =  4856, f(x) = 4.096950e-09, |df|=3.086561e-06\n",
      "k =  4857, f(x) = 4.092942e-09, |df|=2.178801e-06\n",
      "k =  4858, f(x) = 4.089969e-09, |df|=1.791439e-06\n",
      "k =  4859, f(x) = 4.085835e-09, |df|=2.407155e-06\n",
      "k =  4860, f(x) = 4.082639e-09, |df|=1.882259e-06\n",
      "k =  4861, f(x) = 4.078897e-09, |df|=2.707418e-06\n",
      "k =  4862, f(x) = 4.075372e-09, |df|=2.008388e-06\n",
      "k =  4863, f(x) = 4.072201e-09, |df|=3.095354e-06\n",
      "k =  4864, f(x) = 4.068193e-09, |df|=2.180454e-06\n",
      "k =  4865, f(x) = 4.065231e-09, |df|=1.789219e-06\n",
      "k =  4866, f(x) = 4.061134e-09, |df|=2.410811e-06\n",
      "k =  4867, f(x) = 4.057947e-09, |df|=1.881041e-06\n",
      "k =  4868, f(x) = 4.054246e-09, |df|=2.713477e-06\n",
      "k =  4869, f(x) = 4.050727e-09, |df|=2.008471e-06\n",
      "k =  4870, f(x) = 4.047603e-09, |df|=3.104247e-06\n",
      "k =  4871, f(x) = 4.043595e-09, |df|=2.182178e-06\n",
      "k =  4872, f(x) = 4.040643e-09, |df|=1.787043e-06\n",
      "k =  4873, f(x) = 4.036584e-09, |df|=2.414547e-06\n",
      "k =  4874, f(x) = 4.033405e-09, |df|=1.879875e-06\n",
      "k =  4875, f(x) = 4.029747e-09, |df|=2.719627e-06\n",
      "k =  4876, f(x) = 4.026232e-09, |df|=2.008615e-06\n",
      "k =  4877, f(x) = 4.023155e-09, |df|=3.113241e-06\n",
      "k =  4878, f(x) = 4.019147e-09, |df|=2.183972e-06\n",
      "k =  4879, f(x) = 4.016205e-09, |df|=1.784909e-06\n",
      "k =  4880, f(x) = 4.012185e-09, |df|=2.418364e-06\n",
      "k =  4881, f(x) = 4.009013e-09, |df|=1.878760e-06\n",
      "k =  4882, f(x) = 4.005397e-09, |df|=2.725866e-06\n",
      "k =  4883, f(x) = 4.001886e-09, |df|=2.008819e-06\n",
      "k =  4884, f(x) = 3.998857e-09, |df|=3.122336e-06\n",
      "k =  4885, f(x) = 3.994848e-09, |df|=2.185837e-06\n",
      "k =  4886, f(x) = 3.991916e-09, |df|=1.782818e-06\n",
      "k =  4887, f(x) = 3.987934e-09, |df|=2.422262e-06\n",
      "k =  4888, f(x) = 3.984770e-09, |df|=1.877697e-06\n",
      "k =  4889, f(x) = 3.981196e-09, |df|=2.732197e-06\n",
      "k =  4890, f(x) = 3.977689e-09, |df|=2.009085e-06\n",
      "k =  4891, f(x) = 3.974708e-09, |df|=3.131531e-06\n",
      "k =  4892, f(x) = 3.970698e-09, |df|=2.187773e-06\n",
      "k =  4893, f(x) = 3.967775e-09, |df|=1.780771e-06\n",
      "k =  4894, f(x) = 3.963831e-09, |df|=2.426241e-06\n",
      "k =  4895, f(x) = 3.960674e-09, |df|=1.876686e-06\n",
      "k =  4896, f(x) = 3.957142e-09, |df|=2.738618e-06\n",
      "k =  4897, f(x) = 3.953639e-09, |df|=2.009413e-06\n",
      "k =  4898, f(x) = 3.950706e-09, |df|=3.140828e-06\n",
      "k =  4899, f(x) = 3.946695e-09, |df|=2.189781e-06\n",
      "k =  4900, f(x) = 3.943782e-09, |df|=1.778768e-06\n",
      "k =  4901, f(x) = 3.939876e-09, |df|=2.430301e-06\n",
      "k =  4902, f(x) = 3.936726e-09, |df|=1.875727e-06\n",
      "k =  4903, f(x) = 3.933236e-09, |df|=2.745130e-06\n",
      "k =  4904, f(x) = 3.929737e-09, |df|=2.009801e-06\n",
      "k =  4905, f(x) = 3.926851e-09, |df|=3.150226e-06\n",
      "k =  4906, f(x) = 3.922838e-09, |df|=2.191860e-06\n",
      "k =  4907, f(x) = 3.919935e-09, |df|=1.776809e-06\n",
      "k =  4908, f(x) = 3.916067e-09, |df|=2.434443e-06\n",
      "k =  4909, f(x) = 3.912924e-09, |df|=1.874820e-06\n",
      "k =  4910, f(x) = 3.909476e-09, |df|=2.751734e-06\n",
      "k =  4911, f(x) = 3.905980e-09, |df|=2.010252e-06\n",
      "k =  4912, f(x) = 3.903142e-09, |df|=3.159725e-06\n",
      "k =  4913, f(x) = 3.899127e-09, |df|=2.194010e-06\n",
      "k =  4914, f(x) = 3.896234e-09, |df|=1.774894e-06\n",
      "k =  4915, f(x) = 3.892403e-09, |df|=2.438665e-06\n",
      "k =  4916, f(x) = 3.889267e-09, |df|=1.873967e-06\n",
      "k =  4917, f(x) = 3.885860e-09, |df|=2.758428e-06\n",
      "k =  4918, f(x) = 3.882368e-09, |df|=2.010765e-06\n",
      "k =  4919, f(x) = 3.879282e-09, |df|=2.330895e-06\n",
      "k =  4920, f(x) = 3.876264e-09, |df|=1.827867e-06\n",
      "k =  4921, f(x) = 3.872688e-09, |df|=2.619135e-06\n",
      "k =  4922, f(x) = 3.869364e-09, |df|=1.948578e-06\n",
      "k =  4923, f(x) = 3.866319e-09, |df|=2.991882e-06\n",
      "k =  4924, f(x) = 3.862546e-09, |df|=2.113421e-06\n",
      "k =  4925, f(x) = 3.859745e-09, |df|=1.738822e-06\n",
      "k =  4926, f(x) = 3.855841e-09, |df|=2.334338e-06\n",
      "k =  4927, f(x) = 3.852830e-09, |df|=1.826619e-06\n",
      "k =  4928, f(x) = 3.849294e-09, |df|=2.624898e-06\n",
      "k =  4929, f(x) = 3.845975e-09, |df|=1.948580e-06\n",
      "k =  4930, f(x) = 3.842975e-09, |df|=3.000381e-06\n",
      "k =  4931, f(x) = 3.839202e-09, |df|=2.115002e-06\n",
      "k =  4932, f(x) = 3.836410e-09, |df|=1.736655e-06\n",
      "k =  4933, f(x) = 3.832542e-09, |df|=2.337860e-06\n",
      "k =  4934, f(x) = 3.829539e-09, |df|=1.825422e-06\n",
      "k =  4935, f(x) = 3.826043e-09, |df|=2.630747e-06\n",
      "k =  4936, f(x) = 3.822728e-09, |df|=1.948641e-06\n",
      "k =  4937, f(x) = 3.819773e-09, |df|=3.008977e-06\n",
      "k =  4938, f(x) = 3.816000e-09, |df|=2.116652e-06\n",
      "k =  4939, f(x) = 3.813218e-09, |df|=1.734529e-06\n",
      "k =  4940, f(x) = 3.809386e-09, |df|=2.341460e-06\n",
      "k =  4941, f(x) = 3.806390e-09, |df|=1.824273e-06\n",
      "k =  4942, f(x) = 3.802934e-09, |df|=2.636685e-06\n",
      "k =  4943, f(x) = 3.799623e-09, |df|=1.948761e-06\n",
      "k =  4944, f(x) = 3.796713e-09, |df|=3.017671e-06\n",
      "k =  4945, f(x) = 3.792939e-09, |df|=2.118370e-06\n",
      "k =  4946, f(x) = 3.790167e-09, |df|=1.732445e-06\n",
      "k =  4947, f(x) = 3.786371e-09, |df|=2.345137e-06\n",
      "k =  4948, f(x) = 3.783383e-09, |df|=1.823175e-06\n",
      "k =  4949, f(x) = 3.779966e-09, |df|=2.642710e-06\n",
      "k =  4950, f(x) = 3.776659e-09, |df|=1.948941e-06\n",
      "k =  4951, f(x) = 3.773794e-09, |df|=3.026463e-06\n",
      "k =  4952, f(x) = 3.770020e-09, |df|=2.120157e-06\n",
      "k =  4953, f(x) = 3.767257e-09, |df|=1.730403e-06\n",
      "k =  4954, f(x) = 3.763497e-09, |df|=2.348893e-06\n",
      "k =  4955, f(x) = 3.760516e-09, |df|=1.822127e-06\n",
      "k =  4956, f(x) = 3.757138e-09, |df|=2.648823e-06\n",
      "k =  4957, f(x) = 3.753836e-09, |df|=1.949179e-06\n",
      "k =  4958, f(x) = 3.751015e-09, |df|=3.035352e-06\n",
      "k =  4959, f(x) = 3.747240e-09, |df|=2.122013e-06\n",
      "k =  4960, f(x) = 3.744486e-09, |df|=1.728403e-06\n",
      "k =  4961, f(x) = 3.740762e-09, |df|=2.352728e-06\n",
      "k =  4962, f(x) = 3.737788e-09, |df|=1.821130e-06\n",
      "k =  4963, f(x) = 3.734450e-09, |df|=2.655024e-06\n",
      "k =  4964, f(x) = 3.731151e-09, |df|=1.949477e-06\n",
      "k =  4965, f(x) = 3.728375e-09, |df|=3.044340e-06\n",
      "k =  4966, f(x) = 3.724600e-09, |df|=2.123938e-06\n",
      "k =  4967, f(x) = 3.721855e-09, |df|=1.726445e-06\n",
      "k =  4968, f(x) = 3.718166e-09, |df|=2.356641e-06\n",
      "k =  4969, f(x) = 3.715199e-09, |df|=1.820183e-06\n",
      "k =  4970, f(x) = 3.711900e-09, |df|=2.661313e-06\n",
      "k =  4971, f(x) = 3.708605e-09, |df|=1.949835e-06\n",
      "k =  4972, f(x) = 3.705874e-09, |df|=3.053425e-06\n",
      "k =  4973, f(x) = 3.702097e-09, |df|=2.125932e-06\n",
      "k =  4974, f(x) = 3.699361e-09, |df|=1.724530e-06\n",
      "k =  4975, f(x) = 3.695709e-09, |df|=2.360633e-06\n",
      "k =  4976, f(x) = 3.692748e-09, |df|=1.819287e-06\n",
      "k =  4977, f(x) = 3.689489e-09, |df|=2.667691e-06\n",
      "k =  4978, f(x) = 3.686197e-09, |df|=1.950252e-06\n",
      "k =  4979, f(x) = 3.683511e-09, |df|=3.062609e-06\n",
      "k =  4980, f(x) = 3.679732e-09, |df|=2.127996e-06\n",
      "k =  4981, f(x) = 3.677005e-09, |df|=1.722658e-06\n",
      "k =  4982, f(x) = 3.673388e-09, |df|=2.364704e-06\n",
      "k =  4983, f(x) = 3.670434e-09, |df|=1.818442e-06\n",
      "k =  4984, f(x) = 3.667214e-09, |df|=2.674157e-06\n",
      "k =  4985, f(x) = 3.663926e-09, |df|=1.950730e-06\n",
      "k =  4986, f(x) = 3.661013e-09, |df|=2.260416e-06\n",
      "k =  4987, f(x) = 3.658169e-09, |df|=1.773856e-06\n",
      "k =  4988, f(x) = 3.654791e-09, |df|=2.539337e-06\n",
      "k =  4989, f(x) = 3.651660e-09, |df|=1.890576e-06\n",
      "k =  4990, f(x) = 3.648780e-09, |df|=2.900114e-06\n",
      "k =  4991, f(x) = 3.645228e-09, |df|=2.050009e-06\n",
      "k =  4992, f(x) = 3.642588e-09, |df|=1.687754e-06\n",
      "k =  4993, f(x) = 3.638902e-09, |df|=2.263732e-06\n",
      "k =  4994, f(x) = 3.636065e-09, |df|=1.772630e-06\n",
      "k =  4995, f(x) = 3.632724e-09, |df|=2.544900e-06\n",
      "k =  4996, f(x) = 3.629598e-09, |df|=1.890560e-06\n",
      "k =  4997, f(x) = 3.626760e-09, |df|=2.908329e-06\n",
      "k =  4998, f(x) = 3.623209e-09, |df|=2.051522e-06\n",
      "k =  4999, f(x) = 3.620578e-09, |df|=1.685638e-06\n",
      "k =  5000, f(x) = 3.616925e-09, |df|=2.267124e-06\n",
      "k =  5001, f(x) = 3.614096e-09, |df|=1.771452e-06\n",
      "k =  5002, f(x) = 3.610793e-09, |df|=2.550547e-06\n",
      "k =  5003, f(x) = 3.607671e-09, |df|=1.890601e-06\n",
      "k =  5004, f(x) = 3.604875e-09, |df|=2.916638e-06\n",
      "k =  5005, f(x) = 3.601323e-09, |df|=2.053101e-06\n",
      "k =  5006, f(x) = 3.598702e-09, |df|=1.683563e-06\n",
      "k =  5007, f(x) = 3.595083e-09, |df|=2.270592e-06\n",
      "k =  5008, f(x) = 3.592261e-09, |df|=1.770322e-06\n",
      "k =  5009, f(x) = 3.588995e-09, |df|=2.556280e-06\n",
      "k =  5010, f(x) = 3.585878e-09, |df|=1.890698e-06\n",
      "k =  5011, f(x) = 3.583124e-09, |df|=2.925042e-06\n",
      "k =  5012, f(x) = 3.579572e-09, |df|=2.054746e-06\n",
      "k =  5013, f(x) = 3.576959e-09, |df|=1.681527e-06\n",
      "k =  5014, f(x) = 3.573375e-09, |df|=2.274135e-06\n",
      "k =  5015, f(x) = 3.570560e-09, |df|=1.769241e-06\n",
      "k =  5016, f(x) = 3.567331e-09, |df|=2.562098e-06\n",
      "k =  5017, f(x) = 3.564217e-09, |df|=1.890853e-06\n",
      "k =  5018, f(x) = 3.561506e-09, |df|=2.933541e-06\n",
      "k =  5019, f(x) = 3.557953e-09, |df|=2.056458e-06\n",
      "k =  5020, f(x) = 3.555349e-09, |df|=1.679533e-06\n",
      "k =  5021, f(x) = 3.551799e-09, |df|=2.277754e-06\n",
      "k =  5022, f(x) = 3.548990e-09, |df|=1.768208e-06\n",
      "k =  5023, f(x) = 3.545799e-09, |df|=2.568001e-06\n",
      "k =  5024, f(x) = 3.542689e-09, |df|=1.891065e-06\n",
      "k =  5025, f(x) = 3.540020e-09, |df|=2.942135e-06\n",
      "k =  5026, f(x) = 3.536467e-09, |df|=2.058236e-06\n",
      "k =  5027, f(x) = 3.533871e-09, |df|=1.677579e-06\n",
      "k =  5028, f(x) = 3.530355e-09, |df|=2.281450e-06\n",
      "k =  5029, f(x) = 3.527553e-09, |df|=1.767224e-06\n",
      "k =  5030, f(x) = 3.524398e-09, |df|=2.573989e-06\n",
      "k =  5031, f(x) = 3.521292e-09, |df|=1.891336e-06\n",
      "k =  5032, f(x) = 3.518665e-09, |df|=2.950823e-06\n",
      "k =  5033, f(x) = 3.515111e-09, |df|=2.060082e-06\n",
      "k =  5034, f(x) = 3.512525e-09, |df|=1.675666e-06\n",
      "k =  5035, f(x) = 3.509041e-09, |df|=2.285221e-06\n",
      "k =  5036, f(x) = 3.506246e-09, |df|=1.766289e-06\n",
      "k =  5037, f(x) = 3.503129e-09, |df|=2.580063e-06\n",
      "k =  5038, f(x) = 3.500026e-09, |df|=1.891664e-06\n",
      "k =  5039, f(x) = 3.497441e-09, |df|=2.959607e-06\n",
      "k =  5040, f(x) = 3.493886e-09, |df|=2.061995e-06\n",
      "k =  5041, f(x) = 3.491308e-09, |df|=1.673794e-06\n",
      "k =  5042, f(x) = 3.487858e-09, |df|=2.289069e-06\n",
      "k =  5043, f(x) = 3.485069e-09, |df|=1.765404e-06\n",
      "k =  5044, f(x) = 3.481989e-09, |df|=2.586223e-06\n",
      "k =  5045, f(x) = 3.478889e-09, |df|=1.892050e-06\n",
      "k =  5046, f(x) = 3.476347e-09, |df|=2.968486e-06\n",
      "k =  5047, f(x) = 3.472791e-09, |df|=2.063975e-06\n",
      "k =  5048, f(x) = 3.470221e-09, |df|=1.671964e-06\n",
      "k =  5049, f(x) = 3.466805e-09, |df|=2.292994e-06\n",
      "k =  5050, f(x) = 3.464022e-09, |df|=1.764567e-06\n",
      "k =  5051, f(x) = 3.460979e-09, |df|=2.592468e-06\n",
      "k =  5052, f(x) = 3.457882e-09, |df|=1.892494e-06\n",
      "k =  5053, f(x) = 3.455132e-09, |df|=2.192076e-06\n",
      "k =  5054, f(x) = 3.452453e-09, |df|=1.721446e-06\n",
      "k =  5055, f(x) = 3.449262e-09, |df|=2.461978e-06\n",
      "k =  5056, f(x) = 3.446313e-09, |df|=1.834307e-06\n",
      "k =  5057, f(x) = 3.443589e-09, |df|=2.811169e-06\n",
      "k =  5058, f(x) = 3.440245e-09, |df|=1.988508e-06\n",
      "k =  5059, f(x) = 3.437757e-09, |df|=1.638191e-06\n",
      "k =  5060, f(x) = 3.434276e-09, |df|=2.195270e-06\n",
      "k =  5061, f(x) = 3.431604e-09, |df|=1.720242e-06\n",
      "k =  5062, f(x) = 3.428448e-09, |df|=2.467348e-06\n",
      "k =  5063, f(x) = 3.425504e-09, |df|=1.834273e-06\n",
      "k =  5064, f(x) = 3.422819e-09, |df|=2.819109e-06\n",
      "k =  5065, f(x) = 3.419475e-09, |df|=1.989954e-06\n",
      "k =  5066, f(x) = 3.416996e-09, |df|=1.636125e-06\n",
      "k =  5067, f(x) = 3.413547e-09, |df|=2.198536e-06\n",
      "k =  5068, f(x) = 3.410882e-09, |df|=1.719083e-06\n",
      "k =  5069, f(x) = 3.407761e-09, |df|=2.472800e-06\n",
      "k =  5070, f(x) = 3.404821e-09, |df|=1.834295e-06\n",
      "k =  5071, f(x) = 3.402176e-09, |df|=2.827141e-06\n",
      "k =  5072, f(x) = 3.398833e-09, |df|=1.991465e-06\n",
      "k =  5073, f(x) = 3.396362e-09, |df|=1.634098e-06\n",
      "k =  5074, f(x) = 3.392945e-09, |df|=2.201877e-06\n",
      "k =  5075, f(x) = 3.390286e-09, |df|=1.717972e-06\n",
      "k =  5076, f(x) = 3.387200e-09, |df|=2.478335e-06\n",
      "k =  5077, f(x) = 3.384264e-09, |df|=1.834371e-06\n",
      "k =  5078, f(x) = 3.381659e-09, |df|=2.835265e-06\n",
      "k =  5079, f(x) = 3.378316e-09, |df|=1.993040e-06\n",
      "k =  5080, f(x) = 3.375853e-09, |df|=1.632110e-06\n",
      "k =  5081, f(x) = 3.372469e-09, |df|=2.205290e-06\n",
      "k =  5082, f(x) = 3.369816e-09, |df|=1.716907e-06\n",
      "k =  5083, f(x) = 3.366766e-09, |df|=2.483952e-06\n",
      "k =  5084, f(x) = 3.363833e-09, |df|=1.834503e-06\n",
      "k =  5085, f(x) = 3.361268e-09, |df|=2.843480e-06\n",
      "k =  5086, f(x) = 3.357924e-09, |df|=1.994679e-06\n",
      "k =  5087, f(x) = 3.355470e-09, |df|=1.630162e-06\n",
      "k =  5088, f(x) = 3.352117e-09, |df|=2.208777e-06\n",
      "k =  5089, f(x) = 3.349472e-09, |df|=1.715890e-06\n",
      "k =  5090, f(x) = 3.346456e-09, |df|=2.489652e-06\n",
      "k =  5091, f(x) = 3.343527e-09, |df|=1.834691e-06\n",
      "k =  5092, f(x) = 3.341001e-09, |df|=2.851788e-06\n",
      "k =  5093, f(x) = 3.337657e-09, |df|=1.996384e-06\n",
      "k =  5094, f(x) = 3.335211e-09, |df|=1.628253e-06\n",
      "k =  5095, f(x) = 3.331890e-09, |df|=2.212338e-06\n",
      "k =  5096, f(x) = 3.329251e-09, |df|=1.714920e-06\n",
      "k =  5097, f(x) = 3.326270e-09, |df|=2.495435e-06\n",
      "k =  5098, f(x) = 3.323345e-09, |df|=1.834934e-06\n",
      "k =  5099, f(x) = 3.320859e-09, |df|=2.860187e-06\n",
      "k =  5100, f(x) = 3.317514e-09, |df|=1.998153e-06\n",
      "k =  5101, f(x) = 3.315076e-09, |df|=1.626385e-06\n",
      "k =  5102, f(x) = 3.311787e-09, |df|=2.215973e-06\n",
      "k =  5103, f(x) = 3.309153e-09, |df|=1.713997e-06\n",
      "k =  5104, f(x) = 3.306207e-09, |df|=2.501301e-06\n",
      "k =  5105, f(x) = 3.303286e-09, |df|=1.835234e-06\n",
      "k =  5106, f(x) = 3.300839e-09, |df|=2.868679e-06\n",
      "k =  5107, f(x) = 3.297493e-09, |df|=1.999987e-06\n",
      "k =  5108, f(x) = 3.295064e-09, |df|=1.624556e-06\n",
      "k =  5109, f(x) = 3.291806e-09, |df|=2.219682e-06\n",
      "k =  5110, f(x) = 3.289179e-09, |df|=1.713122e-06\n",
      "k =  5111, f(x) = 3.286268e-09, |df|=2.507250e-06\n",
      "k =  5112, f(x) = 3.283349e-09, |df|=1.835590e-06\n",
      "k =  5113, f(x) = 3.280942e-09, |df|=2.877263e-06\n",
      "k =  5114, f(x) = 3.277595e-09, |df|=2.001887e-06\n",
      "k =  5115, f(x) = 3.275173e-09, |df|=1.622767e-06\n",
      "k =  5116, f(x) = 3.271947e-09, |df|=2.223466e-06\n",
      "k =  5117, f(x) = 3.269326e-09, |df|=1.712295e-06\n",
      "k =  5118, f(x) = 3.266449e-09, |df|=2.513282e-06\n",
      "k =  5119, f(x) = 3.263534e-09, |df|=1.836003e-06\n",
      "k =  5120, f(x) = 3.261167e-09, |df|=2.885940e-06\n",
      "k =  5121, f(x) = 3.257818e-09, |df|=2.003852e-06\n",
      "k =  5122, f(x) = 3.255404e-09, |df|=1.621018e-06\n",
      "k =  5123, f(x) = 3.252210e-09, |df|=2.227323e-06\n",
      "k =  5124, f(x) = 3.249594e-09, |df|=1.711516e-06\n",
      "k =  5125, f(x) = 3.246753e-09, |df|=2.519397e-06\n",
      "k =  5126, f(x) = 3.243840e-09, |df|=1.836472e-06\n",
      "k =  5127, f(x) = 3.241266e-09, |df|=2.128885e-06\n",
      "k =  5128, f(x) = 3.238748e-09, |df|=1.669407e-06\n",
      "k =  5129, f(x) = 3.235766e-09, |df|=2.392167e-06\n",
      "k =  5130, f(x) = 3.232993e-09, |df|=1.779669e-06\n",
      "k =  5131, f(x) = 3.230454e-09, |df|=2.732634e-06\n",
      "k =  5132, f(x) = 3.227306e-09, |df|=1.930241e-06\n",
      "k =  5133, f(x) = 3.224970e-09, |df|=1.588070e-06\n",
      "k =  5134, f(x) = 3.221713e-09, |df|=2.132031e-06\n",
      "k =  5135, f(x) = 3.219202e-09, |df|=1.668268e-06\n",
      "k =  5136, f(x) = 3.216253e-09, |df|=2.397430e-06\n",
      "k =  5137, f(x) = 3.213485e-09, |df|=1.779672e-06\n",
      "k =  5138, f(x) = 3.210982e-09, |df|=2.740397e-06\n",
      "k =  5139, f(x) = 3.207835e-09, |df|=1.931686e-06\n",
      "k =  5140, f(x) = 3.205507e-09, |df|=1.586091e-06\n",
      "k =  5141, f(x) = 3.202281e-09, |df|=2.135248e-06\n",
      "k =  5142, f(x) = 3.199776e-09, |df|=1.667175e-06\n",
      "k =  5143, f(x) = 3.196860e-09, |df|=2.402774e-06\n",
      "k =  5144, f(x) = 3.194095e-09, |df|=1.779728e-06\n",
      "k =  5145, f(x) = 3.191630e-09, |df|=2.748250e-06\n",
      "k =  5146, f(x) = 3.188483e-09, |df|=1.933193e-06\n",
      "k =  5147, f(x) = 3.186162e-09, |df|=1.584150e-06\n",
      "k =  5148, f(x) = 3.182966e-09, |df|=2.138537e-06\n",
      "k =  5149, f(x) = 3.180468e-09, |df|=1.666127e-06\n",
      "k =  5150, f(x) = 3.177585e-09, |df|=2.408198e-06\n",
      "k =  5151, f(x) = 3.174823e-09, |df|=1.779839e-06\n",
      "k =  5152, f(x) = 3.172396e-09, |df|=2.756191e-06\n",
      "k =  5153, f(x) = 3.169249e-09, |df|=1.934764e-06\n",
      "k =  5154, f(x) = 3.166936e-09, |df|=1.582247e-06\n",
      "k =  5155, f(x) = 3.163770e-09, |df|=2.141897e-06\n",
      "k =  5156, f(x) = 3.161277e-09, |df|=1.665124e-06\n",
      "k =  5157, f(x) = 3.158428e-09, |df|=2.413702e-06\n",
      "k =  5158, f(x) = 3.155670e-09, |df|=1.780003e-06\n",
      "k =  5159, f(x) = 3.153280e-09, |df|=2.764222e-06\n",
      "k =  5160, f(x) = 3.150132e-09, |df|=1.936396e-06\n",
      "k =  5161, f(x) = 3.147827e-09, |df|=1.580383e-06\n",
      "k =  5162, f(x) = 3.144691e-09, |df|=2.145328e-06\n",
      "k =  5163, f(x) = 3.142204e-09, |df|=1.664168e-06\n",
      "k =  5164, f(x) = 3.139387e-09, |df|=2.419286e-06\n",
      "k =  5165, f(x) = 3.136633e-09, |df|=1.780221e-06\n",
      "k =  5166, f(x) = 3.134280e-09, |df|=2.772342e-06\n",
      "k =  5167, f(x) = 3.131132e-09, |df|=1.938092e-06\n",
      "k =  5168, f(x) = 3.128835e-09, |df|=1.578557e-06\n",
      "k =  5169, f(x) = 3.125728e-09, |df|=2.148831e-06\n",
      "k =  5170, f(x) = 3.123248e-09, |df|=1.663258e-06\n",
      "k =  5171, f(x) = 3.120464e-09, |df|=2.424951e-06\n",
      "k =  5172, f(x) = 3.117712e-09, |df|=1.780494e-06\n",
      "k =  5173, f(x) = 3.115397e-09, |df|=2.780552e-06\n",
      "k =  5174, f(x) = 3.112248e-09, |df|=1.939851e-06\n",
      "k =  5175, f(x) = 3.109958e-09, |df|=1.576769e-06\n",
      "k =  5176, f(x) = 3.106882e-09, |df|=2.152406e-06\n",
      "k =  5177, f(x) = 3.104407e-09, |df|=1.662393e-06\n",
      "k =  5178, f(x) = 3.101656e-09, |df|=2.430696e-06\n",
      "k =  5179, f(x) = 3.098907e-09, |df|=1.780822e-06\n",
      "k =  5180, f(x) = 3.096629e-09, |df|=2.788851e-06\n",
      "k =  5181, f(x) = 3.093479e-09, |df|=1.941673e-06\n",
      "k =  5182, f(x) = 3.091197e-09, |df|=1.575021e-06\n",
      "k =  5183, f(x) = 3.088150e-09, |df|=2.156053e-06\n",
      "k =  5184, f(x) = 3.085681e-09, |df|=1.661576e-06\n",
      "k =  5185, f(x) = 3.082962e-09, |df|=2.436522e-06\n",
      "k =  5186, f(x) = 3.080217e-09, |df|=1.781204e-06\n",
      "k =  5187, f(x) = 3.077976e-09, |df|=2.797240e-06\n",
      "k =  5188, f(x) = 3.074825e-09, |df|=1.943559e-06\n",
      "k =  5189, f(x) = 3.072550e-09, |df|=1.573312e-06\n",
      "k =  5190, f(x) = 3.069533e-09, |df|=2.159772e-06\n",
      "k =  5191, f(x) = 3.067069e-09, |df|=1.660804e-06\n",
      "k =  5192, f(x) = 3.064383e-09, |df|=2.442428e-06\n",
      "k =  5193, f(x) = 3.061640e-09, |df|=1.781641e-06\n",
      "k =  5194, f(x) = 3.059211e-09, |df|=2.064514e-06\n",
      "k =  5195, f(x) = 3.056839e-09, |df|=1.620079e-06\n",
      "k =  5196, f(x) = 3.054021e-09, |df|=2.319284e-06\n",
      "k =  5197, f(x) = 3.051410e-09, |df|=1.726695e-06\n",
      "k =  5198, f(x) = 3.049008e-09, |df|=2.648818e-06\n",
      "k =  5199, f(x) = 3.046045e-09, |df|=1.872326e-06\n",
      "k =  5200, f(x) = 3.043843e-09, |df|=1.541430e-06\n",
      "k =  5201, f(x) = 3.040768e-09, |df|=2.067544e-06\n",
      "k =  5202, f(x) = 3.038402e-09, |df|=1.618960e-06\n",
      "k =  5203, f(x) = 3.035616e-09, |df|=2.324365e-06\n",
      "k =  5204, f(x) = 3.033009e-09, |df|=1.726681e-06\n",
      "k =  5205, f(x) = 3.030642e-09, |df|=2.656322e-06\n",
      "k =  5206, f(x) = 3.027679e-09, |df|=1.873708e-06\n",
      "k =  5207, f(x) = 3.025484e-09, |df|=1.539498e-06\n",
      "k =  5208, f(x) = 3.022438e-09, |df|=2.070643e-06\n",
      "k =  5209, f(x) = 3.020078e-09, |df|=1.617884e-06\n",
      "k =  5210, f(x) = 3.017323e-09, |df|=2.329524e-06\n",
      "k =  5211, f(x) = 3.014719e-09, |df|=1.726719e-06\n",
      "k =  5212, f(x) = 3.012388e-09, |df|=2.663912e-06\n",
      "k =  5213, f(x) = 3.009425e-09, |df|=1.875151e-06\n",
      "k =  5214, f(x) = 3.007238e-09, |df|=1.537603e-06\n",
      "k =  5215, f(x) = 3.004220e-09, |df|=2.073811e-06\n",
      "k =  5216, f(x) = 3.001866e-09, |df|=1.616853e-06\n",
      "k =  5217, f(x) = 2.999142e-09, |df|=2.334761e-06\n",
      "k =  5218, f(x) = 2.996542e-09, |df|=1.726809e-06\n",
      "k =  5219, f(x) = 2.994245e-09, |df|=2.671589e-06\n",
      "k =  5220, f(x) = 2.991282e-09, |df|=1.876654e-06\n",
      "k =  5221, f(x) = 2.989103e-09, |df|=1.535745e-06\n",
      "k =  5222, f(x) = 2.986113e-09, |df|=2.077048e-06\n",
      "k =  5223, f(x) = 2.983765e-09, |df|=1.615866e-06\n",
      "k =  5224, f(x) = 2.981072e-09, |df|=2.340075e-06\n",
      "k =  5225, f(x) = 2.978475e-09, |df|=1.726951e-06\n",
      "k =  5226, f(x) = 2.976214e-09, |df|=2.679352e-06\n",
      "k =  5227, f(x) = 2.973251e-09, |df|=1.878218e-06\n",
      "k =  5228, f(x) = 2.971079e-09, |df|=1.533923e-06\n",
      "k =  5229, f(x) = 2.968117e-09, |df|=2.080354e-06\n",
      "k =  5230, f(x) = 2.965775e-09, |df|=1.614923e-06\n",
      "k =  5231, f(x) = 2.963113e-09, |df|=2.345468e-06\n",
      "k =  5232, f(x) = 2.960519e-09, |df|=1.727146e-06\n",
      "k =  5233, f(x) = 2.958293e-09, |df|=2.687202e-06\n",
      "k =  5234, f(x) = 2.955329e-09, |df|=1.879844e-06\n",
      "k =  5235, f(x) = 2.953164e-09, |df|=1.532139e-06\n",
      "k =  5236, f(x) = 2.950231e-09, |df|=2.083730e-06\n",
      "k =  5237, f(x) = 2.947894e-09, |df|=1.614025e-06\n",
      "k =  5238, f(x) = 2.945263e-09, |df|=2.350938e-06\n",
      "k =  5239, f(x) = 2.942672e-09, |df|=1.727393e-06\n",
      "k =  5240, f(x) = 2.940481e-09, |df|=2.695139e-06\n",
      "k =  5241, f(x) = 2.937517e-09, |df|=1.881530e-06\n",
      "k =  5242, f(x) = 2.935359e-09, |df|=1.530393e-06\n",
      "k =  5243, f(x) = 2.932454e-09, |df|=2.087176e-06\n",
      "k =  5244, f(x) = 2.930122e-09, |df|=1.613172e-06\n",
      "k =  5245, f(x) = 2.927522e-09, |df|=2.356487e-06\n",
      "k =  5246, f(x) = 2.924934e-09, |df|=1.727693e-06\n",
      "k =  5247, f(x) = 2.922778e-09, |df|=2.703162e-06\n",
      "k =  5248, f(x) = 2.919813e-09, |df|=1.883278e-06\n",
      "k =  5249, f(x) = 2.917663e-09, |df|=1.528684e-06\n",
      "k =  5250, f(x) = 2.914785e-09, |df|=2.090691e-06\n",
      "k =  5251, f(x) = 2.912459e-09, |df|=1.612364e-06\n",
      "k =  5252, f(x) = 2.909890e-09, |df|=2.362113e-06\n",
      "k =  5253, f(x) = 2.907305e-09, |df|=1.728047e-06\n",
      "k =  5254, f(x) = 2.905184e-09, |df|=2.711273e-06\n",
      "k =  5255, f(x) = 2.902218e-09, |df|=1.885087e-06\n",
      "k =  5256, f(x) = 2.900074e-09, |df|=1.527013e-06\n",
      "k =  5257, f(x) = 2.897225e-09, |df|=2.094277e-06\n",
      "k =  5258, f(x) = 2.894904e-09, |df|=1.611601e-06\n",
      "k =  5259, f(x) = 2.892366e-09, |df|=2.367818e-06\n",
      "k =  5260, f(x) = 2.889783e-09, |df|=1.728453e-06\n",
      "k =  5261, f(x) = 2.887489e-09, |df|=2.002097e-06\n",
      "k =  5262, f(x) = 2.885254e-09, |df|=1.572213e-06\n",
      "k =  5263, f(x) = 2.882593e-09, |df|=2.248628e-06\n",
      "k =  5264, f(x) = 2.880133e-09, |df|=1.675304e-06\n",
      "k =  5265, f(x) = 2.877861e-09, |df|=2.567580e-06\n",
      "k =  5266, f(x) = 2.875072e-09, |df|=1.816155e-06\n",
      "k =  5267, f(x) = 2.872997e-09, |df|=1.496164e-06\n",
      "k =  5268, f(x) = 2.870093e-09, |df|=2.005015e-06\n",
      "k =  5269, f(x) = 2.867864e-09, |df|=1.571113e-06\n",
      "k =  5270, f(x) = 2.865232e-09, |df|=2.253534e-06\n",
      "k =  5271, f(x) = 2.862776e-09, |df|=1.675274e-06\n",
      "k =  5272, f(x) = 2.860537e-09, |df|=2.574833e-06\n",
      "k =  5273, f(x) = 2.857748e-09, |df|=1.817477e-06\n",
      "k =  5274, f(x) = 2.855680e-09, |df|=1.494278e-06\n",
      "k =  5275, f(x) = 2.852804e-09, |df|=2.008000e-06\n",
      "k =  5276, f(x) = 2.850580e-09, |df|=1.570056e-06\n",
      "k =  5277, f(x) = 2.847977e-09, |df|=2.258515e-06\n",
      "k =  5278, f(x) = 2.845525e-09, |df|=1.675294e-06\n",
      "k =  5279, f(x) = 2.843319e-09, |df|=2.582170e-06\n",
      "k =  5280, f(x) = 2.840530e-09, |df|=1.818857e-06\n",
      "k =  5281, f(x) = 2.838469e-09, |df|=1.492427e-06\n",
      "k =  5282, f(x) = 2.835620e-09, |df|=2.011051e-06\n",
      "k =  5283, f(x) = 2.833402e-09, |df|=1.569041e-06\n",
      "k =  5284, f(x) = 2.830828e-09, |df|=2.263571e-06\n",
      "k =  5285, f(x) = 2.828379e-09, |df|=1.675365e-06\n",
      "k =  5286, f(x) = 2.826207e-09, |df|=2.589590e-06\n",
      "k =  5287, f(x) = 2.823418e-09, |df|=1.820297e-06\n",
      "k =  5288, f(x) = 2.821364e-09, |df|=1.490613e-06\n",
      "k =  5289, f(x) = 2.818541e-09, |df|=2.014170e-06\n",
      "k =  5290, f(x) = 2.816328e-09, |df|=1.568070e-06\n",
      "k =  5291, f(x) = 2.813784e-09, |df|=2.268702e-06\n",
      "k =  5292, f(x) = 2.811338e-09, |df|=1.675486e-06\n",
      "k =  5293, f(x) = 2.809198e-09, |df|=2.597095e-06\n",
      "k =  5294, f(x) = 2.806409e-09, |df|=1.821795e-06\n",
      "k =  5295, f(x) = 2.804362e-09, |df|=1.488834e-06\n",
      "k =  5296, f(x) = 2.801566e-09, |df|=2.017356e-06\n",
      "k =  5297, f(x) = 2.799359e-09, |df|=1.567141e-06\n",
      "k =  5298, f(x) = 2.796844e-09, |df|=2.273909e-06\n",
      "k =  5299, f(x) = 2.794401e-09, |df|=1.675658e-06\n",
      "k =  5300, f(x) = 2.792294e-09, |df|=2.604683e-06\n",
      "k =  5301, f(x) = 2.789505e-09, |df|=1.823352e-06\n",
      "k =  5302, f(x) = 2.787465e-09, |df|=1.487091e-06\n",
      "k =  5303, f(x) = 2.784695e-09, |df|=2.020609e-06\n",
      "k =  5304, f(x) = 2.782493e-09, |df|=1.566256e-06\n",
      "k =  5305, f(x) = 2.780007e-09, |df|=2.279191e-06\n",
      "k =  5306, f(x) = 2.777567e-09, |df|=1.675881e-06\n",
      "k =  5307, f(x) = 2.775494e-09, |df|=2.612356e-06\n",
      "k =  5308, f(x) = 2.772703e-09, |df|=1.824969e-06\n",
      "k =  5309, f(x) = 2.770670e-09, |df|=1.485385e-06\n",
      "k =  5310, f(x) = 2.767927e-09, |df|=2.023930e-06\n",
      "k =  5311, f(x) = 2.765730e-09, |df|=1.565413e-06\n",
      "k =  5312, f(x) = 2.763273e-09, |df|=2.284550e-06\n",
      "k =  5313, f(x) = 2.760836e-09, |df|=1.676156e-06\n",
      "k =  5314, f(x) = 2.758796e-09, |df|=2.620113e-06\n",
      "k =  5315, f(x) = 2.756005e-09, |df|=1.826645e-06\n",
      "k =  5316, f(x) = 2.753978e-09, |df|=1.483715e-06\n",
      "k =  5317, f(x) = 2.751261e-09, |df|=2.027318e-06\n",
      "k =  5318, f(x) = 2.749069e-09, |df|=1.564615e-06\n",
      "k =  5319, f(x) = 2.746642e-09, |df|=2.289984e-06\n",
      "k =  5320, f(x) = 2.744207e-09, |df|=1.676481e-06\n",
      "k =  5321, f(x) = 2.742200e-09, |df|=2.627954e-06\n",
      "k =  5322, f(x) = 2.739408e-09, |df|=1.828381e-06\n",
      "k =  5323, f(x) = 2.737388e-09, |df|=1.482081e-06\n",
      "k =  5324, f(x) = 2.734697e-09, |df|=2.030774e-06\n",
      "k =  5325, f(x) = 2.732510e-09, |df|=1.563860e-06\n",
      "k =  5326, f(x) = 2.730112e-09, |df|=2.295494e-06\n",
      "k =  5327, f(x) = 2.727680e-09, |df|=1.676859e-06\n",
      "k =  5328, f(x) = 2.725706e-09, |df|=2.635880e-06\n",
      "k =  5329, f(x) = 2.722912e-09, |df|=1.830176e-06\n",
      "k =  5330, f(x) = 2.720899e-09, |df|=1.480485e-06\n",
      "k =  5331, f(x) = 2.718234e-09, |df|=2.034299e-06\n",
      "k =  5332, f(x) = 2.716053e-09, |df|=1.563149e-06\n",
      "k =  5333, f(x) = 2.713683e-09, |df|=2.301081e-06\n",
      "k =  5334, f(x) = 2.711253e-09, |df|=1.677288e-06\n",
      "k =  5335, f(x) = 2.709106e-09, |df|=1.944384e-06\n",
      "k =  5336, f(x) = 2.707006e-09, |df|=1.524686e-06\n",
      "k =  5337, f(x) = 2.704519e-09, |df|=2.184868e-06\n",
      "k =  5338, f(x) = 2.702206e-09, |df|=1.625403e-06\n",
      "k =  5339, f(x) = 2.700088e-09, |df|=2.495851e-06\n",
      "k =  5340, f(x) = 2.697463e-09, |df|=1.762939e-06\n",
      "k =  5341, f(x) = 2.695514e-09, |df|=1.450390e-06\n",
      "k =  5342, f(x) = 2.692798e-09, |df|=1.947258e-06\n",
      "k =  5343, f(x) = 2.690703e-09, |df|=1.523646e-06\n",
      "k =  5344, f(x) = 2.688244e-09, |df|=2.189676e-06\n",
      "k =  5345, f(x) = 2.685934e-09, |df|=1.625406e-06\n",
      "k =  5346, f(x) = 2.683848e-09, |df|=2.502943e-06\n",
      "k =  5347, f(x) = 2.681222e-09, |df|=1.764260e-06\n",
      "k =  5348, f(x) = 2.679280e-09, |df|=1.448583e-06\n",
      "k =  5349, f(x) = 2.676589e-09, |df|=1.950197e-06\n",
      "k =  5350, f(x) = 2.674500e-09, |df|=1.522648e-06\n",
      "k =  5351, f(x) = 2.672068e-09, |df|=2.194558e-06\n",
      "k =  5352, f(x) = 2.669762e-09, |df|=1.625459e-06\n",
      "k =  5353, f(x) = 2.667706e-09, |df|=2.510116e-06\n",
      "k =  5354, f(x) = 2.665081e-09, |df|=1.765638e-06\n",
      "k =  5355, f(x) = 2.663145e-09, |df|=1.446811e-06\n",
      "k =  5356, f(x) = 2.660479e-09, |df|=1.953202e-06\n",
      "k =  5357, f(x) = 2.658395e-09, |df|=1.521692e-06\n",
      "k =  5358, f(x) = 2.655991e-09, |df|=2.199512e-06\n",
      "k =  5359, f(x) = 2.653688e-09, |df|=1.625560e-06\n",
      "k =  5360, f(x) = 2.651663e-09, |df|=2.517370e-06\n",
      "k =  5361, f(x) = 2.649038e-09, |df|=1.767073e-06\n",
      "k =  5362, f(x) = 2.647109e-09, |df|=1.445073e-06\n",
      "k =  5363, f(x) = 2.644468e-09, |df|=1.956271e-06\n",
      "k =  5364, f(x) = 2.642389e-09, |df|=1.520777e-06\n",
      "k =  5365, f(x) = 2.640012e-09, |df|=2.204540e-06\n",
      "k =  5366, f(x) = 2.637712e-09, |df|=1.625711e-06\n",
      "k =  5367, f(x) = 2.635719e-09, |df|=2.524705e-06\n",
      "k =  5368, f(x) = 2.633093e-09, |df|=1.768565e-06\n",
      "k =  5369, f(x) = 2.631170e-09, |df|=1.443371e-06\n",
      "k =  5370, f(x) = 2.628555e-09, |df|=1.959406e-06\n",
      "k =  5371, f(x) = 2.626480e-09, |df|=1.519904e-06\n",
      "k =  5372, f(x) = 2.624131e-09, |df|=2.209641e-06\n",
      "k =  5373, f(x) = 2.621833e-09, |df|=1.625911e-06\n",
      "k =  5374, f(x) = 2.619871e-09, |df|=2.532123e-06\n",
      "k =  5375, f(x) = 2.617245e-09, |df|=1.770114e-06\n",
      "k =  5376, f(x) = 2.615329e-09, |df|=1.441704e-06\n",
      "k =  5377, f(x) = 2.612738e-09, |df|=1.962606e-06\n",
      "k =  5378, f(x) = 2.610669e-09, |df|=1.519073e-06\n",
      "k =  5379, f(x) = 2.608347e-09, |df|=2.214816e-06\n",
      "k =  5380, f(x) = 2.606052e-09, |df|=1.626161e-06\n",
      "k =  5381, f(x) = 2.604121e-09, |df|=2.539622e-06\n",
      "k =  5382, f(x) = 2.601494e-09, |df|=1.771721e-06\n",
      "k =  5383, f(x) = 2.599584e-09, |df|=1.440072e-06\n",
      "k =  5384, f(x) = 2.597018e-09, |df|=1.965872e-06\n",
      "k =  5385, f(x) = 2.594954e-09, |df|=1.518285e-06\n",
      "k =  5386, f(x) = 2.592659e-09, |df|=2.220064e-06\n",
      "k =  5387, f(x) = 2.590367e-09, |df|=1.626461e-06\n",
      "k =  5388, f(x) = 2.588467e-09, |df|=2.547203e-06\n",
      "k =  5389, f(x) = 2.585839e-09, |df|=1.773386e-06\n",
      "k =  5390, f(x) = 2.583936e-09, |df|=1.438476e-06\n",
      "k =  5391, f(x) = 2.581394e-09, |df|=1.969204e-06\n",
      "k =  5392, f(x) = 2.579335e-09, |df|=1.517538e-06\n",
      "k =  5393, f(x) = 2.577068e-09, |df|=2.225386e-06\n",
      "k =  5394, f(x) = 2.574777e-09, |df|=1.626810e-06\n",
      "k =  5395, f(x) = 2.572909e-09, |df|=2.554866e-06\n",
      "k =  5396, f(x) = 2.570280e-09, |df|=1.775109e-06\n",
      "k =  5397, f(x) = 2.568382e-09, |df|=1.436915e-06\n",
      "k =  5398, f(x) = 2.565866e-09, |df|=1.972602e-06\n",
      "k =  5399, f(x) = 2.563811e-09, |df|=1.516835e-06\n",
      "k =  5400, f(x) = 2.561571e-09, |df|=2.230782e-06\n",
      "k =  5401, f(x) = 2.559283e-09, |df|=1.627210e-06\n",
      "k =  5402, f(x) = 2.557257e-09, |df|=1.885593e-06\n",
      "k =  5403, f(x) = 2.555278e-09, |df|=1.479634e-06\n",
      "k =  5404, f(x) = 2.552928e-09, |df|=2.118301e-06\n",
      "k =  5405, f(x) = 2.550750e-09, |df|=1.577022e-06\n",
      "k =  5406, f(x) = 2.548747e-09, |df|=2.419298e-06\n",
      "k =  5407, f(x) = 2.546275e-09, |df|=1.710045e-06\n",
      "k =  5408, f(x) = 2.544438e-09, |df|=1.407794e-06\n",
      "k =  5409, f(x) = 2.541874e-09, |df|=1.888361e-06\n",
      "k =  5410, f(x) = 2.539900e-09, |df|=1.478613e-06\n",
      "k =  5411, f(x) = 2.537577e-09, |df|=2.122943e-06\n",
      "k =  5412, f(x) = 2.535402e-09, |df|=1.577009e-06\n",
      "k =  5413, f(x) = 2.533428e-09, |df|=2.426153e-06\n",
      "k =  5414, f(x) = 2.530956e-09, |df|=1.711308e-06\n",
      "k =  5415, f(x) = 2.529126e-09, |df|=1.406030e-06\n",
      "k =  5416, f(x) = 2.526585e-09, |df|=1.891192e-06\n",
      "k =  5417, f(x) = 2.524617e-09, |df|=1.477631e-06\n",
      "k =  5418, f(x) = 2.522319e-09, |df|=2.127656e-06\n",
      "k =  5419, f(x) = 2.520147e-09, |df|=1.577045e-06\n",
      "k =  5420, f(x) = 2.518202e-09, |df|=2.433086e-06\n",
      "k =  5421, f(x) = 2.515731e-09, |df|=1.712626e-06\n",
      "k =  5422, f(x) = 2.513907e-09, |df|=1.404300e-06\n",
      "k =  5423, f(x) = 2.511390e-09, |df|=1.894086e-06\n",
      "k =  5424, f(x) = 2.509426e-09, |df|=1.476690e-06\n",
      "k =  5425, f(x) = 2.507154e-09, |df|=2.132440e-06\n",
      "k =  5426, f(x) = 2.504985e-09, |df|=1.577127e-06\n",
      "k =  5427, f(x) = 2.503070e-09, |df|=2.440098e-06\n",
      "k =  5428, f(x) = 2.500598e-09, |df|=1.714000e-06\n",
      "k =  5429, f(x) = 2.498781e-09, |df|=1.402603e-06\n",
      "k =  5430, f(x) = 2.496287e-09, |df|=1.897043e-06\n",
      "k =  5431, f(x) = 2.494328e-09, |df|=1.475789e-06\n",
      "k =  5432, f(x) = 2.492082e-09, |df|=2.137294e-06\n",
      "k =  5433, f(x) = 2.489916e-09, |df|=1.577258e-06\n",
      "k =  5434, f(x) = 2.488030e-09, |df|=2.447190e-06\n",
      "k =  5435, f(x) = 2.485558e-09, |df|=1.715430e-06\n",
      "k =  5436, f(x) = 2.483747e-09, |df|=1.400940e-06\n",
      "k =  5437, f(x) = 2.481277e-09, |df|=1.900064e-06\n",
      "k =  5438, f(x) = 2.479323e-09, |df|=1.474929e-06\n",
      "k =  5439, f(x) = 2.477103e-09, |df|=2.142220e-06\n",
      "k =  5440, f(x) = 2.474939e-09, |df|=1.577436e-06\n",
      "k =  5441, f(x) = 2.473082e-09, |df|=2.454360e-06\n",
      "k =  5442, f(x) = 2.470610e-09, |df|=1.716915e-06\n",
      "k =  5443, f(x) = 2.468804e-09, |df|=1.399311e-06\n",
      "k =  5444, f(x) = 2.466358e-09, |df|=1.903148e-06\n",
      "k =  5445, f(x) = 2.464409e-09, |df|=1.474109e-06\n",
      "k =  5446, f(x) = 2.462214e-09, |df|=2.147217e-06\n",
      "k =  5447, f(x) = 2.460053e-09, |df|=1.577663e-06\n",
      "k =  5448, f(x) = 2.458226e-09, |df|=2.461610e-06\n",
      "k =  5449, f(x) = 2.455753e-09, |df|=1.718456e-06\n",
      "k =  5450, f(x) = 2.453953e-09, |df|=1.397717e-06\n",
      "k =  5451, f(x) = 2.451530e-09, |df|=1.906296e-06\n",
      "k =  5452, f(x) = 2.449585e-09, |df|=1.473331e-06\n",
      "k =  5453, f(x) = 2.447417e-09, |df|=2.152286e-06\n",
      "k =  5454, f(x) = 2.445258e-09, |df|=1.577938e-06\n",
      "k =  5455, f(x) = 2.443460e-09, |df|=2.468939e-06\n",
      "k =  5456, f(x) = 2.440987e-09, |df|=1.720053e-06\n",
      "k =  5457, f(x) = 2.439193e-09, |df|=1.396157e-06\n",
      "k =  5458, f(x) = 2.436793e-09, |df|=1.909507e-06\n",
      "k =  5459, f(x) = 2.434853e-09, |df|=1.472593e-06\n",
      "k =  5460, f(x) = 2.432710e-09, |df|=2.157426e-06\n",
      "k =  5461, f(x) = 2.430554e-09, |df|=1.578261e-06\n",
      "k =  5462, f(x) = 2.428785e-09, |df|=2.476347e-06\n",
      "k =  5463, f(x) = 2.426311e-09, |df|=1.721706e-06\n",
      "k =  5464, f(x) = 2.424523e-09, |df|=1.394631e-06\n",
      "k =  5465, f(x) = 2.422146e-09, |df|=1.912783e-06\n",
      "k =  5466, f(x) = 2.420210e-09, |df|=1.471897e-06\n",
      "k =  5467, f(x) = 2.418093e-09, |df|=2.162637e-06\n",
      "k =  5468, f(x) = 2.415939e-09, |df|=1.578633e-06\n",
      "k =  5469, f(x) = 2.414026e-09, |df|=1.828585e-06\n",
      "k =  5470, f(x) = 2.412162e-09, |df|=1.435919e-06\n",
      "k =  5471, f(x) = 2.409942e-09, |df|=2.053769e-06\n",
      "k =  5472, f(x) = 2.407890e-09, |df|=1.530086e-06\n",
      "k =  5473, f(x) = 2.405995e-09, |df|=2.345100e-06\n",
      "k =  5474, f(x) = 2.403669e-09, |df|=1.658743e-06\n",
      "k =  5475, f(x) = 2.401938e-09, |df|=1.366453e-06\n",
      "k =  5476, f(x) = 2.399516e-09, |df|=1.831251e-06\n",
      "k =  5477, f(x) = 2.397657e-09, |df|=1.434915e-06\n",
      "k =  5478, f(x) = 2.395461e-09, |df|=2.058250e-06\n",
      "k =  5479, f(x) = 2.393413e-09, |df|=1.530059e-06\n",
      "k =  5480, f(x) = 2.391546e-09, |df|=2.351725e-06\n",
      "k =  5481, f(x) = 2.389219e-09, |df|=1.659951e-06\n",
      "k =  5482, f(x) = 2.387494e-09, |df|=1.364731e-06\n",
      "k =  5483, f(x) = 2.385095e-09, |df|=1.833977e-06\n",
      "k =  5484, f(x) = 2.383241e-09, |df|=1.433950e-06\n",
      "k =  5485, f(x) = 2.381070e-09, |df|=2.062800e-06\n",
      "k =  5486, f(x) = 2.379024e-09, |df|=1.530078e-06\n",
      "k =  5487, f(x) = 2.377184e-09, |df|=2.358427e-06\n",
      "k =  5488, f(x) = 2.374858e-09, |df|=1.661212e-06\n",
      "k =  5489, f(x) = 2.373139e-09, |df|=1.363041e-06\n",
      "k =  5490, f(x) = 2.370762e-09, |df|=1.836765e-06\n",
      "k =  5491, f(x) = 2.368912e-09, |df|=1.433024e-06\n",
      "k =  5492, f(x) = 2.366766e-09, |df|=2.067419e-06\n",
      "k =  5493, f(x) = 2.364723e-09, |df|=1.530143e-06\n",
      "k =  5494, f(x) = 2.362911e-09, |df|=2.365205e-06\n",
      "k =  5495, f(x) = 2.360584e-09, |df|=1.662528e-06\n",
      "k =  5496, f(x) = 2.358871e-09, |df|=1.361384e-06\n",
      "k =  5497, f(x) = 2.356517e-09, |df|=1.839614e-06\n",
      "k =  5498, f(x) = 2.354671e-09, |df|=1.432137e-06\n",
      "k =  5499, f(x) = 2.352549e-09, |df|=2.072106e-06\n",
      "k =  5500, f(x) = 2.350509e-09, |df|=1.530254e-06\n",
      "k =  5501, f(x) = 2.348725e-09, |df|=2.372060e-06\n",
      "k =  5502, f(x) = 2.346398e-09, |df|=1.663897e-06\n",
      "k =  5503, f(x) = 2.344691e-09, |df|=1.359760e-06\n",
      "k =  5504, f(x) = 2.342358e-09, |df|=1.842525e-06\n",
      "k =  5505, f(x) = 2.340517e-09, |df|=1.431289e-06\n",
      "k =  5506, f(x) = 2.338420e-09, |df|=2.076863e-06\n",
      "k =  5507, f(x) = 2.336382e-09, |df|=1.530412e-06\n",
      "k =  5508, f(x) = 2.334625e-09, |df|=2.378992e-06\n",
      "k =  5509, f(x) = 2.332298e-09, |df|=1.665320e-06\n",
      "k =  5510, f(x) = 2.330596e-09, |df|=1.358169e-06\n",
      "k =  5511, f(x) = 2.328286e-09, |df|=1.845497e-06\n",
      "k =  5512, f(x) = 2.326450e-09, |df|=1.430481e-06\n",
      "k =  5513, f(x) = 2.324376e-09, |df|=2.081688e-06\n",
      "k =  5514, f(x) = 2.322341e-09, |df|=1.530617e-06\n",
      "k =  5515, f(x) = 2.320612e-09, |df|=2.386000e-06\n",
      "k =  5516, f(x) = 2.318284e-09, |df|=1.666797e-06\n",
      "k =  5517, f(x) = 2.316588e-09, |df|=1.356611e-06\n",
      "k =  5518, f(x) = 2.314300e-09, |df|=1.848531e-06\n",
      "k =  5519, f(x) = 2.312468e-09, |df|=1.429713e-06\n",
      "k =  5520, f(x) = 2.310419e-09, |df|=2.086583e-06\n",
      "k =  5521, f(x) = 2.308386e-09, |df|=1.530868e-06\n",
      "k =  5522, f(x) = 2.306684e-09, |df|=2.393086e-06\n",
      "k =  5523, f(x) = 2.304356e-09, |df|=1.668329e-06\n",
      "k =  5524, f(x) = 2.302666e-09, |df|=1.355086e-06\n",
      "k =  5525, f(x) = 2.300399e-09, |df|=1.851626e-06\n",
      "k =  5526, f(x) = 2.298571e-09, |df|=1.428984e-06\n",
      "k =  5527, f(x) = 2.296547e-09, |df|=2.091547e-06\n",
      "k =  5528, f(x) = 2.294516e-09, |df|=1.531166e-06\n",
      "k =  5529, f(x) = 2.292842e-09, |df|=2.400249e-06\n",
      "k =  5530, f(x) = 2.290513e-09, |df|=1.669915e-06\n",
      "k =  5531, f(x) = 2.288828e-09, |df|=1.353595e-06\n",
      "k =  5532, f(x) = 2.286584e-09, |df|=1.854784e-06\n",
      "k =  5533, f(x) = 2.284760e-09, |df|=1.428295e-06\n",
      "k =  5534, f(x) = 2.282759e-09, |df|=2.096580e-06\n",
      "k =  5535, f(x) = 2.280730e-09, |df|=1.531512e-06\n",
      "k =  5536, f(x) = 2.279084e-09, |df|=2.407488e-06\n",
      "k =  5537, f(x) = 2.276754e-09, |df|=1.671555e-06\n",
      "k =  5538, f(x) = 2.275075e-09, |df|=1.352138e-06\n",
      "k =  5539, f(x) = 2.272852e-09, |df|=1.858003e-06\n",
      "k =  5540, f(x) = 2.271032e-09, |df|=1.427646e-06\n",
      "k =  5541, f(x) = 2.269056e-09, |df|=2.101683e-06\n",
      "k =  5542, f(x) = 2.267029e-09, |df|=1.531904e-06\n",
      "k =  5543, f(x) = 2.265239e-09, |df|=1.775875e-06\n",
      "k =  5544, f(x) = 2.263487e-09, |df|=1.392513e-06\n",
      "k =  5545, f(x) = 2.261412e-09, |df|=1.995535e-06\n",
      "k =  5546, f(x) = 2.259483e-09, |df|=1.484511e-06\n",
      "k =  5547, f(x) = 2.257717e-09, |df|=2.279587e-06\n",
      "k =  5548, f(x) = 2.255527e-09, |df|=1.610141e-06\n",
      "k =  5549, f(x) = 2.253901e-09, |df|=1.324649e-06\n",
      "k =  5550, f(x) = 2.251636e-09, |df|=1.778500e-06\n",
      "k =  5551, f(x) = 2.249889e-09, |df|=1.391564e-06\n",
      "k =  5552, f(x) = 2.247837e-09, |df|=1.999927e-06\n",
      "k =  5553, f(x) = 2.245911e-09, |df|=1.484515e-06\n",
      "k =  5554, f(x) = 2.244171e-09, |df|=2.286065e-06\n",
      "k =  5555, f(x) = 2.241981e-09, |df|=1.611348e-06\n",
      "k =  5556, f(x) = 2.240361e-09, |df|=1.322999e-06\n",
      "k =  5557, f(x) = 2.238116e-09, |df|=1.781186e-06\n",
      "k =  5558, f(x) = 2.236374e-09, |df|=1.390653e-06\n",
      "k =  5559, f(x) = 2.234345e-09, |df|=2.004386e-06\n",
      "k =  5560, f(x) = 2.232422e-09, |df|=1.484563e-06\n",
      "k =  5561, f(x) = 2.230707e-09, |df|=2.292617e-06\n",
      "k =  5562, f(x) = 2.228517e-09, |df|=1.612607e-06\n",
      "k =  5563, f(x) = 2.226903e-09, |df|=1.321381e-06\n",
      "k =  5564, f(x) = 2.224679e-09, |df|=1.783930e-06\n",
      "k =  5565, f(x) = 2.222941e-09, |df|=1.389780e-06\n",
      "k =  5566, f(x) = 2.220936e-09, |df|=2.008912e-06\n",
      "k =  5567, f(x) = 2.219014e-09, |df|=1.484657e-06\n",
      "k =  5568, f(x) = 2.217326e-09, |df|=2.299243e-06\n",
      "k =  5569, f(x) = 2.215136e-09, |df|=1.613918e-06\n",
      "k =  5570, f(x) = 2.213527e-09, |df|=1.319794e-06\n",
      "k =  5571, f(x) = 2.211325e-09, |df|=1.786735e-06\n",
      "k =  5572, f(x) = 2.209590e-09, |df|=1.388945e-06\n",
      "k =  5573, f(x) = 2.207608e-09, |df|=2.013505e-06\n",
      "k =  5574, f(x) = 2.205689e-09, |df|=1.484795e-06\n",
      "k =  5575, f(x) = 2.204027e-09, |df|=2.305944e-06\n",
      "k =  5576, f(x) = 2.201836e-09, |df|=1.615281e-06\n",
      "k =  5577, f(x) = 2.200233e-09, |df|=1.318240e-06\n",
      "k =  5578, f(x) = 2.198051e-09, |df|=1.789599e-06\n",
      "k =  5579, f(x) = 2.196321e-09, |df|=1.388148e-06\n",
      "k =  5580, f(x) = 2.194362e-09, |df|=2.018165e-06\n",
      "k =  5581, f(x) = 2.192445e-09, |df|=1.484979e-06\n",
      "k =  5582, f(x) = 2.190809e-09, |df|=2.312719e-06\n",
      "k =  5583, f(x) = 2.188618e-09, |df|=1.616697e-06\n",
      "k =  5584, f(x) = 2.187020e-09, |df|=1.316718e-06\n",
      "k =  5585, f(x) = 2.184859e-09, |df|=1.792522e-06\n",
      "k =  5586, f(x) = 2.183133e-09, |df|=1.387390e-06\n",
      "k =  5587, f(x) = 2.181196e-09, |df|=2.022892e-06\n",
      "k =  5588, f(x) = 2.179282e-09, |df|=1.485207e-06\n",
      "k =  5589, f(x) = 2.177672e-09, |df|=2.319569e-06\n",
      "k =  5590, f(x) = 2.175480e-09, |df|=1.618166e-06\n",
      "k =  5591, f(x) = 2.173887e-09, |df|=1.315228e-06\n",
      "k =  5592, f(x) = 2.171747e-09, |df|=1.795506e-06\n",
      "k =  5593, f(x) = 2.170025e-09, |df|=1.386670e-06\n",
      "k =  5594, f(x) = 2.168111e-09, |df|=2.027686e-06\n",
      "k =  5595, f(x) = 2.166199e-09, |df|=1.485482e-06\n",
      "k =  5596, f(x) = 2.164615e-09, |df|=2.326494e-06\n",
      "k =  5597, f(x) = 2.162423e-09, |df|=1.619687e-06\n",
      "k =  5598, f(x) = 2.160835e-09, |df|=1.313770e-06\n",
      "k =  5599, f(x) = 2.158715e-09, |df|=1.798550e-06\n",
      "k =  5600, f(x) = 2.156997e-09, |df|=1.385989e-06\n",
      "k =  5601, f(x) = 2.155106e-09, |df|=2.032548e-06\n",
      "k =  5602, f(x) = 2.153196e-09, |df|=1.485802e-06\n",
      "k =  5603, f(x) = 2.151638e-09, |df|=2.333494e-06\n",
      "k =  5604, f(x) = 2.149445e-09, |df|=1.621261e-06\n",
      "k =  5605, f(x) = 2.147862e-09, |df|=1.312345e-06\n",
      "k =  5606, f(x) = 2.145763e-09, |df|=1.801654e-06\n",
      "k =  5607, f(x) = 2.144049e-09, |df|=1.385347e-06\n",
      "k =  5608, f(x) = 2.142181e-09, |df|=2.037477e-06\n",
      "k =  5609, f(x) = 2.140272e-09, |df|=1.486168e-06\n",
      "k =  5610, f(x) = 2.138582e-09, |df|=1.722179e-06\n",
      "k =  5611, f(x) = 2.136932e-09, |df|=1.351368e-06\n",
      "k =  5612, f(x) = 2.134972e-09, |df|=1.934737e-06\n",
      "k =  5613, f(x) = 2.133155e-09, |df|=1.440324e-06\n",
      "k =  5614, f(x) = 2.131484e-09, |df|=2.209668e-06\n",
      "k =  5615, f(x) = 2.129423e-09, |df|=1.561831e-06\n",
      "k =  5616, f(x) = 2.127891e-09, |df|=1.285747e-06\n",
      "k =  5617, f(x) = 2.125752e-09, |df|=1.724708e-06\n",
      "k =  5618, f(x) = 2.124106e-09, |df|=1.350435e-06\n",
      "k =  5619, f(x) = 2.122167e-09, |df|=1.938977e-06\n",
      "k =  5620, f(x) = 2.120353e-09, |df|=1.440314e-06\n",
      "k =  5621, f(x) = 2.118707e-09, |df|=2.215929e-06\n",
      "k =  5622, f(x) = 2.116645e-09, |df|=1.562985e-06\n",
      "k =  5623, f(x) = 2.115119e-09, |df|=1.284136e-06\n",
      "k =  5624, f(x) = 2.112999e-09, |df|=1.727294e-06\n",
      "k =  5625, f(x) = 2.111357e-09, |df|=1.349539e-06\n",
      "k =  5626, f(x) = 2.109441e-09, |df|=1.943282e-06\n",
      "k =  5627, f(x) = 2.107629e-09, |df|=1.440347e-06\n",
      "k =  5628, f(x) = 2.106007e-09, |df|=2.222262e-06\n",
      "k =  5629, f(x) = 2.103946e-09, |df|=1.564190e-06\n",
      "k =  5630, f(x) = 2.102424e-09, |df|=1.282556e-06\n",
      "k =  5631, f(x) = 2.100325e-09, |df|=1.729938e-06\n",
      "k =  5632, f(x) = 2.098687e-09, |df|=1.348680e-06\n",
      "k =  5633, f(x) = 2.096792e-09, |df|=1.947652e-06\n",
      "k =  5634, f(x) = 2.094983e-09, |df|=1.440423e-06\n",
      "k =  5635, f(x) = 2.093386e-09, |df|=2.228668e-06\n",
      "k =  5636, f(x) = 2.091324e-09, |df|=1.565446e-06\n",
      "k =  5637, f(x) = 2.089808e-09, |df|=1.281007e-06\n",
      "k =  5638, f(x) = 2.087728e-09, |df|=1.732640e-06\n",
      "k =  5639, f(x) = 2.086094e-09, |df|=1.347858e-06\n",
      "k =  5640, f(x) = 2.084221e-09, |df|=1.952087e-06\n",
      "k =  5641, f(x) = 2.082414e-09, |df|=1.440543e-06\n",
      "k =  5642, f(x) = 2.080841e-09, |df|=2.235145e-06\n",
      "k =  5643, f(x) = 2.078779e-09, |df|=1.566752e-06\n",
      "k =  5644, f(x) = 2.077268e-09, |df|=1.279488e-06\n",
      "k =  5645, f(x) = 2.075208e-09, |df|=1.735399e-06\n",
      "k =  5646, f(x) = 2.073578e-09, |df|=1.347073e-06\n",
      "k =  5647, f(x) = 2.071727e-09, |df|=1.956587e-06\n",
      "k =  5648, f(x) = 2.069922e-09, |df|=1.440706e-06\n",
      "k =  5649, f(x) = 2.068373e-09, |df|=2.241695e-06\n",
      "k =  5650, f(x) = 2.066311e-09, |df|=1.568109e-06\n",
      "k =  5651, f(x) = 2.064805e-09, |df|=1.278001e-06\n",
      "k =  5652, f(x) = 2.062764e-09, |df|=1.738217e-06\n",
      "k =  5653, f(x) = 2.061138e-09, |df|=1.346325e-06\n",
      "k =  5654, f(x) = 2.059308e-09, |df|=1.961151e-06\n",
      "k =  5655, f(x) = 2.057506e-09, |df|=1.440914e-06\n",
      "k =  5656, f(x) = 2.055982e-09, |df|=2.248317e-06\n",
      "k =  5657, f(x) = 2.053919e-09, |df|=1.569517e-06\n",
      "k =  5658, f(x) = 2.052418e-09, |df|=1.276545e-06\n",
      "k =  5659, f(x) = 2.050397e-09, |df|=1.741093e-06\n",
      "k =  5660, f(x) = 2.048775e-09, |df|=1.345614e-06\n",
      "k =  5661, f(x) = 2.046966e-09, |df|=1.965781e-06\n",
      "k =  5662, f(x) = 2.045165e-09, |df|=1.441165e-06\n",
      "k =  5663, f(x) = 2.043666e-09, |df|=2.255012e-06\n",
      "k =  5664, f(x) = 2.041603e-09, |df|=1.570976e-06\n",
      "k =  5665, f(x) = 2.040106e-09, |df|=1.275121e-06\n",
      "k =  5666, f(x) = 2.038105e-09, |df|=1.744027e-06\n",
      "k =  5667, f(x) = 2.036486e-09, |df|=1.344941e-06\n",
      "k =  5668, f(x) = 2.034699e-09, |df|=1.970477e-06\n",
      "k =  5669, f(x) = 2.032900e-09, |df|=1.441461e-06\n",
      "k =  5670, f(x) = 2.031425e-09, |df|=2.261779e-06\n",
      "k =  5671, f(x) = 2.029361e-09, |df|=1.572487e-06\n",
      "k =  5672, f(x) = 2.027870e-09, |df|=1.273728e-06\n",
      "k =  5673, f(x) = 2.025888e-09, |df|=1.747019e-06\n",
      "k =  5674, f(x) = 2.024273e-09, |df|=1.344305e-06\n",
      "k =  5675, f(x) = 2.022507e-09, |df|=1.975237e-06\n",
      "k =  5676, f(x) = 2.020710e-09, |df|=1.441802e-06\n",
      "k =  5677, f(x) = 2.019115e-09, |df|=1.670112e-06\n",
      "k =  5678, f(x) = 2.017560e-09, |df|=1.311442e-06\n",
      "k =  5679, f(x) = 2.015708e-09, |df|=1.875797e-06\n",
      "k =  5680, f(x) = 2.013997e-09, |df|=1.397458e-06\n",
      "k =  5681, f(x) = 2.012417e-09, |df|=2.141899e-06\n",
      "k =  5682, f(x) = 2.010476e-09, |df|=1.514976e-06\n",
      "k =  5683, f(x) = 2.009032e-09, |df|=1.247990e-06\n",
      "k =  5684, f(x) = 2.007012e-09, |df|=1.672548e-06\n",
      "k =  5685, f(x) = 2.005461e-09, |df|=1.310526e-06\n",
      "k =  5686, f(x) = 2.003630e-09, |df|=1.879891e-06\n",
      "k =  5687, f(x) = 2.001922e-09, |df|=1.397434e-06\n",
      "k =  5688, f(x) = 2.000364e-09, |df|=2.147951e-06\n",
      "k =  5689, f(x) = 1.998424e-09, |df|=1.516080e-06\n",
      "k =  5690, f(x) = 1.996985e-09, |df|=1.246418e-06\n",
      "k =  5691, f(x) = 1.994984e-09, |df|=1.675039e-06\n",
      "k =  5692, f(x) = 1.993437e-09, |df|=1.309645e-06\n",
      "k =  5693, f(x) = 1.991626e-09, |df|=1.884047e-06\n",
      "k =  5694, f(x) = 1.989920e-09, |df|=1.397451e-06\n",
      "k =  5695, f(x) = 1.988386e-09, |df|=2.154072e-06\n",
      "k =  5696, f(x) = 1.986445e-09, |df|=1.517233e-06\n",
      "k =  5697, f(x) = 1.985011e-09, |df|=1.244875e-06\n",
      "k =  5698, f(x) = 1.983029e-09, |df|=1.677586e-06\n",
      "k =  5699, f(x) = 1.981486e-09, |df|=1.308800e-06\n",
      "k =  5700, f(x) = 1.979695e-09, |df|=1.888266e-06\n",
      "k =  5701, f(x) = 1.977991e-09, |df|=1.397511e-06\n",
      "k =  5702, f(x) = 1.976480e-09, |df|=2.160264e-06\n",
      "k =  5703, f(x) = 1.974539e-09, |df|=1.518435e-06\n",
      "k =  5704, f(x) = 1.973111e-09, |df|=1.243362e-06\n",
      "k =  5705, f(x) = 1.971147e-09, |df|=1.680188e-06\n",
      "k =  5706, f(x) = 1.969607e-09, |df|=1.307990e-06\n",
      "k =  5707, f(x) = 1.967837e-09, |df|=1.892548e-06\n",
      "k =  5708, f(x) = 1.966136e-09, |df|=1.397614e-06\n",
      "k =  5709, f(x) = 1.964647e-09, |df|=2.166526e-06\n",
      "k =  5710, f(x) = 1.962707e-09, |df|=1.519686e-06\n",
      "k =  5711, f(x) = 1.961283e-09, |df|=1.241879e-06\n",
      "k =  5712, f(x) = 1.959337e-09, |df|=1.682847e-06\n",
      "k =  5713, f(x) = 1.957802e-09, |df|=1.307217e-06\n",
      "k =  5714, f(x) = 1.956052e-09, |df|=1.896893e-06\n",
      "k =  5715, f(x) = 1.954352e-09, |df|=1.397759e-06\n",
      "k =  5716, f(x) = 1.952887e-09, |df|=2.172857e-06\n",
      "k =  5717, f(x) = 1.950946e-09, |df|=1.520986e-06\n",
      "k =  5718, f(x) = 1.949527e-09, |df|=1.240426e-06\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "k =  5719, f(x) = 1.947600e-09, |df|=1.685563e-06\n",
      "k =  5720, f(x) = 1.946068e-09, |df|=1.306479e-06\n",
      "k =  5721, f(x) = 1.944339e-09, |df|=1.901301e-06\n",
      "k =  5722, f(x) = 1.942641e-09, |df|=1.397946e-06\n",
      "k =  5723, f(x) = 1.941199e-09, |df|=2.179259e-06\n",
      "k =  5724, f(x) = 1.939257e-09, |df|=1.522336e-06\n",
      "k =  5725, f(x) = 1.937843e-09, |df|=1.239004e-06\n",
      "k =  5726, f(x) = 1.935934e-09, |df|=1.688334e-06\n",
      "k =  5727, f(x) = 1.934406e-09, |df|=1.305778e-06\n",
      "k =  5728, f(x) = 1.932697e-09, |df|=1.905772e-06\n",
      "k =  5729, f(x) = 1.931001e-09, |df|=1.398176e-06\n",
      "k =  5730, f(x) = 1.929582e-09, |df|=2.185732e-06\n",
      "k =  5731, f(x) = 1.927640e-09, |df|=1.523735e-06\n",
      "k =  5732, f(x) = 1.926230e-09, |df|=1.237612e-06\n",
      "k =  5733, f(x) = 1.924340e-09, |df|=1.691162e-06\n",
      "k =  5734, f(x) = 1.922815e-09, |df|=1.305112e-06\n",
      "k =  5735, f(x) = 1.921126e-09, |df|=1.910307e-06\n",
      "k =  5736, f(x) = 1.919432e-09, |df|=1.398449e-06\n",
      "k =  5737, f(x) = 1.918036e-09, |df|=2.192274e-06\n",
      "k =  5738, f(x) = 1.916093e-09, |df|=1.525185e-06\n",
      "k =  5739, f(x) = 1.914688e-09, |df|=1.236250e-06\n",
      "k =  5740, f(x) = 1.912816e-09, |df|=1.694047e-06\n",
      "k =  5741, f(x) = 1.911295e-09, |df|=1.304484e-06\n",
      "k =  5742, f(x) = 1.909626e-09, |df|=1.914905e-06\n",
      "k =  5743, f(x) = 1.907934e-09, |df|=1.398765e-06\n",
      "k =  5744, f(x) = 1.906561e-09, |df|=2.198887e-06\n",
      "k =  5745, f(x) = 1.904617e-09, |df|=1.526684e-06\n",
      "k =  5746, f(x) = 1.903216e-09, |df|=1.234919e-06\n",
      "k =  5747, f(x) = 1.901363e-09, |df|=1.696988e-06\n",
      "k =  5748, f(x) = 1.899845e-09, |df|=1.303892e-06\n",
      "k =  5749, f(x) = 1.898196e-09, |df|=1.919566e-06\n",
      "k =  5750, f(x) = 1.896506e-09, |df|=1.399124e-06\n",
      "k =  5751, f(x) = 1.895012e-09, |df|=1.621971e-06\n",
      "k =  5752, f(x) = 1.893551e-09, |df|=1.271800e-06\n",
      "k =  5753, f(x) = 1.891821e-09, |df|=1.822610e-06\n",
      "k =  5754, f(x) = 1.890212e-09, |df|=1.355835e-06\n",
      "k =  5755, f(x) = 1.888739e-09, |df|=2.082064e-06\n",
      "k =  5756, f(x) = 1.886912e-09, |df|=1.470587e-06\n",
      "k =  5757, f(x) = 1.885556e-09, |df|=1.209811e-06\n",
      "k =  5758, f(x) = 1.883666e-09, |df|=1.624370e-06\n",
      "k =  5759, f(x) = 1.882209e-09, |df|=1.270934e-06\n",
      "k =  5760, f(x) = 1.880498e-09, |df|=1.826623e-06\n",
      "k =  5761, f(x) = 1.878891e-09, |df|=1.355839e-06\n",
      "k =  5762, f(x) = 1.877440e-09, |df|=2.087981e-06\n",
      "k =  5763, f(x) = 1.875613e-09, |df|=1.471690e-06\n",
      "k =  5764, f(x) = 1.874262e-09, |df|=1.208304e-06\n",
      "k =  5765, f(x) = 1.872390e-09, |df|=1.626823e-06\n",
      "k =  5766, f(x) = 1.870936e-09, |df|=1.270103e-06\n",
      "k =  5767, f(x) = 1.869244e-09, |df|=1.830696e-06\n",
      "k =  5768, f(x) = 1.867640e-09, |df|=1.355883e-06\n",
      "k =  5769, f(x) = 1.866210e-09, |df|=2.093966e-06\n",
      "k =  5770, f(x) = 1.864383e-09, |df|=1.472841e-06\n",
      "k =  5771, f(x) = 1.863036e-09, |df|=1.206827e-06\n",
      "k =  5772, f(x) = 1.861182e-09, |df|=1.629331e-06\n",
      "k =  5773, f(x) = 1.859732e-09, |df|=1.269306e-06\n",
      "k =  5774, f(x) = 1.858059e-09, |df|=1.834831e-06\n",
      "k =  5775, f(x) = 1.856457e-09, |df|=1.355969e-06\n",
      "k =  5776, f(x) = 1.855049e-09, |df|=2.100019e-06\n",
      "k =  5777, f(x) = 1.853222e-09, |df|=1.474039e-06\n",
      "k =  5778, f(x) = 1.851880e-09, |df|=1.205379e-06\n",
      "k =  5779, f(x) = 1.850043e-09, |df|=1.631893e-06\n",
      "k =  5780, f(x) = 1.848596e-09, |df|=1.268544e-06\n",
      "k =  5781, f(x) = 1.846943e-09, |df|=1.839026e-06\n",
      "k =  5782, f(x) = 1.845342e-09, |df|=1.356096e-06\n",
      "k =  5783, f(x) = 1.843956e-09, |df|=2.106139e-06\n",
      "k =  5784, f(x) = 1.842129e-09, |df|=1.475285e-06\n",
      "k =  5785, f(x) = 1.840791e-09, |df|=1.203960e-06\n",
      "k =  5786, f(x) = 1.838972e-09, |df|=1.634509e-06\n",
      "k =  5787, f(x) = 1.837528e-09, |df|=1.267817e-06\n",
      "k =  5788, f(x) = 1.835894e-09, |df|=1.843283e-06\n",
      "k =  5789, f(x) = 1.834295e-09, |df|=1.356264e-06\n",
      "k =  5790, f(x) = 1.832931e-09, |df|=2.112328e-06\n",
      "k =  5791, f(x) = 1.831103e-09, |df|=1.476579e-06\n",
      "k =  5792, f(x) = 1.829770e-09, |df|=1.202570e-06\n",
      "k =  5793, f(x) = 1.827968e-09, |df|=1.637180e-06\n",
      "k =  5794, f(x) = 1.826528e-09, |df|=1.267124e-06\n",
      "k =  5795, f(x) = 1.824913e-09, |df|=1.847601e-06\n",
      "k =  5796, f(x) = 1.823316e-09, |df|=1.356474e-06\n",
      "k =  5797, f(x) = 1.821973e-09, |df|=2.118585e-06\n",
      "k =  5798, f(x) = 1.820145e-09, |df|=1.477921e-06\n",
      "k =  5799, f(x) = 1.818816e-09, |df|=1.201209e-06\n",
      "k =  5800, f(x) = 1.817032e-09, |df|=1.639906e-06\n",
      "k =  5801, f(x) = 1.815595e-09, |df|=1.266468e-06\n",
      "k =  5802, f(x) = 1.813999e-09, |df|=1.851980e-06\n",
      "k =  5803, f(x) = 1.812404e-09, |df|=1.356725e-06\n",
      "k =  5804, f(x) = 1.811083e-09, |df|=2.124911e-06\n",
      "k =  5805, f(x) = 1.809254e-09, |df|=1.479311e-06\n",
      "k =  5806, f(x) = 1.807930e-09, |df|=1.199879e-06\n",
      "k =  5807, f(x) = 1.806162e-09, |df|=1.642686e-06\n",
      "k =  5808, f(x) = 1.804729e-09, |df|=1.265846e-06\n",
      "k =  5809, f(x) = 1.803152e-09, |df|=1.856421e-06\n",
      "k =  5810, f(x) = 1.801558e-09, |df|=1.357018e-06\n",
      "k =  5811, f(x) = 1.800259e-09, |df|=2.131305e-06\n",
      "k =  5812, f(x) = 1.798429e-09, |df|=1.480749e-06\n",
      "k =  5813, f(x) = 1.797109e-09, |df|=1.198578e-06\n",
      "k =  5814, f(x) = 1.795359e-09, |df|=1.645522e-06\n",
      "k =  5815, f(x) = 1.793929e-09, |df|=1.265260e-06\n",
      "k =  5816, f(x) = 1.792371e-09, |df|=1.860924e-06\n",
      "k =  5817, f(x) = 1.790779e-09, |df|=1.357353e-06\n",
      "k =  5818, f(x) = 1.789369e-09, |df|=1.572929e-06\n",
      "k =  5819, f(x) = 1.787992e-09, |df|=1.234222e-06\n",
      "k =  5820, f(x) = 1.786358e-09, |df|=1.767081e-06\n",
      "k =  5821, f(x) = 1.784842e-09, |df|=1.315478e-06\n",
      "k =  5822, f(x) = 1.783449e-09, |df|=2.018203e-06\n",
      "k =  5823, f(x) = 1.781729e-09, |df|=1.426465e-06\n",
      "k =  5824, f(x) = 1.780451e-09, |df|=1.174282e-06\n",
      "k =  5825, f(x) = 1.778667e-09, |df|=1.575239e-06\n",
      "k =  5826, f(x) = 1.777294e-09, |df|=1.233371e-06\n",
      "k =  5827, f(x) = 1.775677e-09, |df|=1.770955e-06\n",
      "k =  5828, f(x) = 1.774164e-09, |df|=1.315469e-06\n",
      "k =  5829, f(x) = 1.772791e-09, |df|=2.023922e-06\n",
      "k =  5830, f(x) = 1.771071e-09, |df|=1.427520e-06\n",
      "k =  5831, f(x) = 1.769798e-09, |df|=1.172811e-06\n",
      "k =  5832, f(x) = 1.768030e-09, |df|=1.577602e-06\n",
      "k =  5833, f(x) = 1.766661e-09, |df|=1.232554e-06\n",
      "k =  5834, f(x) = 1.765062e-09, |df|=1.774887e-06\n",
      "k =  5835, f(x) = 1.763551e-09, |df|=1.315500e-06\n",
      "k =  5836, f(x) = 1.762198e-09, |df|=2.029708e-06\n",
      "k =  5837, f(x) = 1.760479e-09, |df|=1.428621e-06\n",
      "k =  5838, f(x) = 1.759210e-09, |df|=1.171369e-06\n",
      "k =  5839, f(x) = 1.757459e-09, |df|=1.580018e-06\n",
      "k =  5840, f(x) = 1.756093e-09, |df|=1.231769e-06\n",
      "k =  5841, f(x) = 1.754512e-09, |df|=1.778879e-06\n",
      "k =  5842, f(x) = 1.753003e-09, |df|=1.315570e-06\n",
      "k =  5843, f(x) = 1.751671e-09, |df|=2.035558e-06\n",
      "k =  5844, f(x) = 1.749951e-09, |df|=1.429769e-06\n",
      "k =  5845, f(x) = 1.748686e-09, |df|=1.169954e-06\n",
      "k =  5846, f(x) = 1.746952e-09, |df|=1.582486e-06\n",
      "k =  5847, f(x) = 1.745589e-09, |df|=1.231019e-06\n",
      "k =  5848, f(x) = 1.744026e-09, |df|=1.782930e-06\n",
      "k =  5849, f(x) = 1.742519e-09, |df|=1.315680e-06\n",
      "k =  5850, f(x) = 1.741207e-09, |df|=2.041475e-06\n",
      "k =  5851, f(x) = 1.739487e-09, |df|=1.430962e-06\n",
      "k =  5852, f(x) = 1.738227e-09, |df|=1.168568e-06\n",
      "k =  5853, f(x) = 1.736509e-09, |df|=1.585007e-06\n",
      "k =  5854, f(x) = 1.735149e-09, |df|=1.230302e-06\n",
      "k =  5855, f(x) = 1.733605e-09, |df|=1.787041e-06\n",
      "k =  5856, f(x) = 1.732099e-09, |df|=1.315830e-06\n",
      "k =  5857, f(x) = 1.730808e-09, |df|=2.047458e-06\n",
      "k =  5858, f(x) = 1.729088e-09, |df|=1.432202e-06\n",
      "k =  5859, f(x) = 1.727831e-09, |df|=1.167210e-06\n",
      "k =  5860, f(x) = 1.726130e-09, |df|=1.587581e-06\n",
      "k =  5861, f(x) = 1.724773e-09, |df|=1.229620e-06\n",
      "k =  5862, f(x) = 1.723247e-09, |df|=1.791211e-06\n",
      "k =  5863, f(x) = 1.721743e-09, |df|=1.316020e-06\n",
      "k =  5864, f(x) = 1.720472e-09, |df|=2.053507e-06\n",
      "k =  5865, f(x) = 1.718751e-09, |df|=1.433489e-06\n",
      "k =  5866, f(x) = 1.717499e-09, |df|=1.165881e-06\n",
      "k =  5867, f(x) = 1.715814e-09, |df|=1.590208e-06\n",
      "k =  5868, f(x) = 1.714461e-09, |df|=1.228971e-06\n",
      "k =  5869, f(x) = 1.712952e-09, |df|=1.795440e-06\n",
      "k =  5870, f(x) = 1.711450e-09, |df|=1.316250e-06\n",
      "k =  5871, f(x) = 1.710200e-09, |df|=2.059623e-06\n",
      "k =  5872, f(x) = 1.708478e-09, |df|=1.434822e-06\n",
      "k =  5873, f(x) = 1.707230e-09, |df|=1.164580e-06\n",
      "k =  5874, f(x) = 1.705561e-09, |df|=1.592889e-06\n",
      "k =  5875, f(x) = 1.704211e-09, |df|=1.228357e-06\n",
      "k =  5876, f(x) = 1.702720e-09, |df|=1.799729e-06\n",
      "k =  5877, f(x) = 1.701220e-09, |df|=1.316521e-06\n",
      "k =  5878, f(x) = 1.699990e-09, |df|=2.065804e-06\n",
      "k =  5879, f(x) = 1.698268e-09, |df|=1.436202e-06\n",
      "k =  5880, f(x) = 1.697024e-09, |df|=1.163309e-06\n",
      "k =  5881, f(x) = 1.695371e-09, |df|=1.595622e-06\n",
      "k =  5882, f(x) = 1.694024e-09, |df|=1.227777e-06\n",
      "k =  5883, f(x) = 1.692551e-09, |df|=1.804078e-06\n",
      "k =  5884, f(x) = 1.691052e-09, |df|=1.316833e-06\n",
      "k =  5885, f(x) = 1.689721e-09, |df|=1.525375e-06\n",
      "k =  5886, f(x) = 1.688424e-09, |df|=1.197759e-06\n",
      "k =  5887, f(x) = 1.686880e-09, |df|=1.713249e-06\n",
      "k =  5888, f(x) = 1.685453e-09, |df|=1.276328e-06\n",
      "k =  5889, f(x) = 1.684135e-09, |df|=1.956307e-06\n",
      "k =  5890, f(x) = 1.682516e-09, |df|=1.383672e-06\n",
      "k =  5891, f(x) = 1.681311e-09, |df|=1.139800e-06\n",
      "k =  5892, f(x) = 1.679627e-09, |df|=1.527600e-06\n",
      "k =  5893, f(x) = 1.678333e-09, |df|=1.196922e-06\n",
      "k =  5894, f(x) = 1.676806e-09, |df|=1.716989e-06\n",
      "k =  5895, f(x) = 1.675381e-09, |df|=1.276307e-06\n",
      "k =  5896, f(x) = 1.674082e-09, |df|=1.961835e-06\n",
      "k =  5897, f(x) = 1.672463e-09, |df|=1.384681e-06\n",
      "k =  5898, f(x) = 1.671263e-09, |df|=1.138364e-06\n",
      "k =  5899, f(x) = 1.669594e-09, |df|=1.529876e-06\n",
      "k =  5900, f(x) = 1.668303e-09, |df|=1.196118e-06\n",
      "k =  5901, f(x) = 1.666793e-09, |df|=1.720785e-06\n",
      "k =  5902, f(x) = 1.665370e-09, |df|=1.276323e-06\n",
      "k =  5903, f(x) = 1.664090e-09, |df|=1.967427e-06\n",
      "k =  5904, f(x) = 1.662472e-09, |df|=1.385734e-06\n",
      "k =  5905, f(x) = 1.661276e-09, |df|=1.136955e-06\n",
      "k =  5906, f(x) = 1.659622e-09, |df|=1.532203e-06\n",
      "k =  5907, f(x) = 1.658335e-09, |df|=1.195347e-06\n",
      "k =  5908, f(x) = 1.656842e-09, |df|=1.724640e-06\n",
      "k =  5909, f(x) = 1.655420e-09, |df|=1.276379e-06\n",
      "k =  5910, f(x) = 1.654160e-09, |df|=1.973082e-06\n",
      "k =  5911, f(x) = 1.652541e-09, |df|=1.386833e-06\n",
      "k =  5912, f(x) = 1.651349e-09, |df|=1.135574e-06\n",
      "k =  5913, f(x) = 1.649711e-09, |df|=1.534581e-06\n",
      "k =  5914, f(x) = 1.648427e-09, |df|=1.194608e-06\n",
      "k =  5915, f(x) = 1.646951e-09, |df|=1.728551e-06\n",
      "k =  5916, f(x) = 1.645532e-09, |df|=1.276473e-06\n",
      "k =  5917, f(x) = 1.644290e-09, |df|=1.978802e-06\n",
      "k =  5918, f(x) = 1.642672e-09, |df|=1.387976e-06\n",
      "k =  5919, f(x) = 1.641484e-09, |df|=1.134220e-06\n",
      "k =  5920, f(x) = 1.639861e-09, |df|=1.537010e-06\n",
      "k =  5921, f(x) = 1.638580e-09, |df|=1.193902e-06\n",
      "k =  5922, f(x) = 1.637121e-09, |df|=1.732520e-06\n",
      "k =  5923, f(x) = 1.635703e-09, |df|=1.276606e-06\n",
      "k =  5924, f(x) = 1.634481e-09, |df|=1.984586e-06\n",
      "k =  5925, f(x) = 1.632862e-09, |df|=1.389164e-06\n",
      "k =  5926, f(x) = 1.631678e-09, |df|=1.132894e-06\n",
      "k =  5927, f(x) = 1.630071e-09, |df|=1.539490e-06\n",
      "k =  5928, f(x) = 1.628793e-09, |df|=1.193229e-06\n",
      "k =  5929, f(x) = 1.627351e-09, |df|=1.736547e-06\n",
      "k =  5930, f(x) = 1.625935e-09, |df|=1.276777e-06\n",
      "k =  5931, f(x) = 1.624732e-09, |df|=1.990434e-06\n",
      "k =  5932, f(x) = 1.623112e-09, |df|=1.390398e-06\n",
      "k =  5933, f(x) = 1.621932e-09, |df|=1.131595e-06\n",
      "k =  5934, f(x) = 1.620341e-09, |df|=1.542022e-06\n",
      "k =  5935, f(x) = 1.619066e-09, |df|=1.192588e-06\n",
      "k =  5936, f(x) = 1.617640e-09, |df|=1.740631e-06\n",
      "k =  5937, f(x) = 1.616226e-09, |df|=1.276988e-06\n",
      "k =  5938, f(x) = 1.615042e-09, |df|=1.996346e-06\n",
      "k =  5939, f(x) = 1.613422e-09, |df|=1.391676e-06\n",
      "k =  5940, f(x) = 1.612246e-09, |df|=1.130324e-06\n",
      "k =  5941, f(x) = 1.610670e-09, |df|=1.544606e-06\n",
      "k =  5942, f(x) = 1.609398e-09, |df|=1.191981e-06\n",
      "k =  5943, f(x) = 1.607989e-09, |df|=1.744774e-06\n",
      "k =  5944, f(x) = 1.606576e-09, |df|=1.277238e-06\n",
      "k =  5945, f(x) = 1.605412e-09, |df|=2.002322e-06\n",
      "k =  5946, f(x) = 1.603791e-09, |df|=1.393001e-06\n",
      "k =  5947, f(x) = 1.602619e-09, |df|=1.129081e-06\n",
      "k =  5948, f(x) = 1.601058e-09, |df|=1.547241e-06\n",
      "k =  5949, f(x) = 1.599789e-09, |df|=1.191408e-06\n",
      "k =  5950, f(x) = 1.598397e-09, |df|=1.748974e-06\n",
      "k =  5951, f(x) = 1.596985e-09, |df|=1.277527e-06\n",
      "k =  5952, f(x) = 1.595840e-09, |df|=2.008363e-06\n",
      "k =  5953, f(x) = 1.594219e-09, |df|=1.394370e-06\n",
      "k =  5954, f(x) = 1.593051e-09, |df|=1.127866e-06\n",
      "k =  5955, f(x) = 1.591505e-09, |df|=1.549928e-06\n",
      "k =  5956, f(x) = 1.590238e-09, |df|=1.190868e-06\n",
      "k =  5957, f(x) = 1.588864e-09, |df|=1.753232e-06\n",
      "k =  5958, f(x) = 1.587453e-09, |df|=1.277856e-06\n",
      "k =  5959, f(x) = 1.586208e-09, |df|=1.481407e-06\n",
      "k =  5960, f(x) = 1.584989e-09, |df|=1.161554e-06\n",
      "k =  5961, f(x) = 1.583546e-09, |df|=1.664673e-06\n",
      "k =  5962, f(x) = 1.582204e-09, |df|=1.238314e-06\n",
      "k =  5963, f(x) = 1.580975e-09, |df|=1.901657e-06\n",
      "k =  5964, f(x) = 1.579451e-09, |df|=1.343132e-06\n",
      "k =  5965, f(x) = 1.578320e-09, |df|=1.104932e-06\n",
      "k =  5966, f(x) = 1.576744e-09, |df|=1.483599e-06\n",
      "k =  5967, f(x) = 1.575528e-09, |df|=1.160764e-06\n",
      "k =  5968, f(x) = 1.574101e-09, |df|=1.668338e-06\n",
      "k =  5969, f(x) = 1.572761e-09, |df|=1.238318e-06\n",
      "k =  5970, f(x) = 1.571551e-09, |df|=1.907062e-06\n",
      "k =  5971, f(x) = 1.570027e-09, |df|=1.344140e-06\n",
      "k =  5972, f(x) = 1.568900e-09, |df|=1.103556e-06\n",
      "k =  5973, f(x) = 1.567338e-09, |df|=1.485840e-06\n",
      "k =  5974, f(x) = 1.566126e-09, |df|=1.160005e-06\n",
      "k =  5975, f(x) = 1.564715e-09, |df|=1.672059e-06\n",
      "k =  5976, f(x) = 1.563376e-09, |df|=1.238360e-06\n",
      "k =  5977, f(x) = 1.562184e-09, |df|=1.912529e-06\n",
      "k =  5978, f(x) = 1.560660e-09, |df|=1.345191e-06\n",
      "k =  5979, f(x) = 1.559537e-09, |df|=1.102207e-06\n",
      "k =  5980, f(x) = 1.557990e-09, |df|=1.488131e-06\n",
      "k =  5981, f(x) = 1.556780e-09, |df|=1.159278e-06\n",
      "k =  5982, f(x) = 1.555385e-09, |df|=1.675836e-06\n",
      "k =  5983, f(x) = 1.554049e-09, |df|=1.238438e-06\n",
      "k =  5984, f(x) = 1.552874e-09, |df|=1.918058e-06\n",
      "k =  5985, f(x) = 1.551350e-09, |df|=1.346286e-06\n",
      "k =  5986, f(x) = 1.550231e-09, |df|=1.100885e-06\n",
      "k =  5987, f(x) = 1.548699e-09, |df|=1.490471e-06\n",
      "k =  5988, f(x) = 1.547492e-09, |df|=1.158582e-06\n",
      "k =  5989, f(x) = 1.546113e-09, |df|=1.679668e-06\n",
      "k =  5990, f(x) = 1.544778e-09, |df|=1.238555e-06\n",
      "k =  5991, f(x) = 1.543622e-09, |df|=1.923649e-06\n",
      "k =  5992, f(x) = 1.542098e-09, |df|=1.347425e-06\n",
      "k =  5993, f(x) = 1.540982e-09, |df|=1.099589e-06\n",
      "k =  5994, f(x) = 1.539464e-09, |df|=1.492862e-06\n",
      "k =  5995, f(x) = 1.538260e-09, |df|=1.157918e-06\n",
      "k =  5996, f(x) = 1.536897e-09, |df|=1.683557e-06\n",
      "k =  5997, f(x) = 1.535564e-09, |df|=1.238709e-06\n",
      "k =  5998, f(x) = 1.534426e-09, |df|=1.929302e-06\n",
      "k =  5999, f(x) = 1.532901e-09, |df|=1.348607e-06\n",
      "k =  6000, f(x) = 1.531789e-09, |df|=1.098320e-06\n",
      "k =  6001, f(x) = 1.530286e-09, |df|=1.495302e-06\n",
      "k =  6002, f(x) = 1.529085e-09, |df|=1.157287e-06\n",
      "k =  6003, f(x) = 1.527738e-09, |df|=1.687501e-06\n",
      "k =  6004, f(x) = 1.526406e-09, |df|=1.238901e-06\n",
      "k =  6005, f(x) = 1.525286e-09, |df|=1.935018e-06\n",
      "k =  6006, f(x) = 1.523761e-09, |df|=1.349833e-06\n",
      "k =  6007, f(x) = 1.522653e-09, |df|=1.097078e-06\n",
      "k =  6008, f(x) = 1.521164e-09, |df|=1.497792e-06\n",
      "k =  6009, f(x) = 1.519966e-09, |df|=1.156687e-06\n",
      "k =  6010, f(x) = 1.518635e-09, |df|=1.691502e-06\n",
      "k =  6011, f(x) = 1.517304e-09, |df|=1.239131e-06\n",
      "k =  6012, f(x) = 1.516202e-09, |df|=1.940796e-06\n",
      "k =  6013, f(x) = 1.514677e-09, |df|=1.351103e-06\n",
      "k =  6014, f(x) = 1.513572e-09, |df|=1.095863e-06\n",
      "k =  6015, f(x) = 1.512098e-09, |df|=1.500332e-06\n",
      "k =  6016, f(x) = 1.510902e-09, |df|=1.156120e-06\n",
      "k =  6017, f(x) = 1.509587e-09, |df|=1.695558e-06\n",
      "k =  6018, f(x) = 1.508258e-09, |df|=1.239399e-06\n",
      "k =  6019, f(x) = 1.507174e-09, |df|=1.946636e-06\n",
      "k =  6020, f(x) = 1.505648e-09, |df|=1.352418e-06\n",
      "k =  6021, f(x) = 1.504547e-09, |df|=1.094675e-06\n",
      "k =  6022, f(x) = 1.503087e-09, |df|=1.502923e-06\n",
      "k =  6023, f(x) = 1.501894e-09, |df|=1.155585e-06\n",
      "k =  6024, f(x) = 1.500594e-09, |df|=1.699671e-06\n",
      "k =  6025, f(x) = 1.499266e-09, |df|=1.239705e-06\n",
      "k =  6026, f(x) = 1.498091e-09, |df|=1.436616e-06\n",
      "k =  6027, f(x) = 1.496942e-09, |df|=1.127235e-06\n",
      "k =  6028, f(x) = 1.495579e-09, |df|=1.613956e-06\n",
      "k =  6029, f(x) = 1.494315e-09, |df|=1.201457e-06\n",
      "k =  6030, f(x) = 1.493152e-09, |df|=1.843330e-06\n",
      "k =  6031, f(x) = 1.491718e-09, |df|=1.302834e-06\n",
      "k =  6032, f(x) = 1.490652e-09, |df|=1.072484e-06\n",
      "k =  6033, f(x) = 1.489164e-09, |df|=1.438727e-06\n",
      "k =  6034, f(x) = 1.488019e-09, |df|=1.126458e-06\n",
      "k =  6035, f(x) = 1.486670e-09, |df|=1.617494e-06\n",
      "k =  6036, f(x) = 1.485408e-09, |df|=1.201449e-06\n",
      "k =  6037, f(x) = 1.484263e-09, |df|=1.848555e-06\n",
      "k =  6038, f(x) = 1.482828e-09, |df|=1.303798e-06\n",
      "k =  6039, f(x) = 1.481766e-09, |df|=1.071141e-06\n",
      "k =  6040, f(x) = 1.480292e-09, |df|=1.440885e-06\n",
      "k =  6041, f(x) = 1.479150e-09, |df|=1.125712e-06\n",
      "k =  6042, f(x) = 1.477816e-09, |df|=1.621087e-06\n",
      "k =  6043, f(x) = 1.476556e-09, |df|=1.201477e-06\n",
      "k =  6044, f(x) = 1.475428e-09, |df|=1.853839e-06\n",
      "k =  6045, f(x) = 1.473993e-09, |df|=1.304805e-06\n",
      "k =  6046, f(x) = 1.472935e-09, |df|=1.069824e-06\n",
      "k =  6047, f(x) = 1.471474e-09, |df|=1.443092e-06\n",
      "k =  6048, f(x) = 1.470335e-09, |df|=1.124996e-06\n",
      "k =  6049, f(x) = 1.469017e-09, |df|=1.624733e-06\n",
      "k =  6050, f(x) = 1.467758e-09, |df|=1.201542e-06\n",
      "k =  6051, f(x) = 1.466647e-09, |df|=1.859183e-06\n",
      "k =  6052, f(x) = 1.465212e-09, |df|=1.305853e-06\n",
      "k =  6053, f(x) = 1.464157e-09, |df|=1.068532e-06\n",
      "k =  6054, f(x) = 1.462710e-09, |df|=1.445347e-06\n",
      "k =  6055, f(x) = 1.461573e-09, |df|=1.124311e-06\n",
      "k =  6056, f(x) = 1.460270e-09, |df|=1.628434e-06\n",
      "k =  6057, f(x) = 1.459013e-09, |df|=1.201643e-06\n",
      "k =  6058, f(x) = 1.457919e-09, |df|=1.864588e-06\n",
      "k =  6059, f(x) = 1.456484e-09, |df|=1.306944e-06\n",
      "k =  6060, f(x) = 1.455433e-09, |df|=1.067267e-06\n",
      "k =  6061, f(x) = 1.454000e-09, |df|=1.447650e-06\n",
      "k =  6062, f(x) = 1.452866e-09, |df|=1.123657e-06\n",
      "k =  6063, f(x) = 1.451578e-09, |df|=1.632189e-06\n",
      "k =  6064, f(x) = 1.450322e-09, |df|=1.201780e-06\n",
      "k =  6065, f(x) = 1.449245e-09, |df|=1.870053e-06\n",
      "k =  6066, f(x) = 1.447810e-09, |df|=1.308077e-06\n",
      "k =  6067, f(x) = 1.446762e-09, |df|=1.066027e-06\n",
      "k =  6068, f(x) = 1.445342e-09, |df|=1.450002e-06\n",
      "k =  6069, f(x) = 1.444211e-09, |df|=1.123034e-06\n",
      "k =  6070, f(x) = 1.442938e-09, |df|=1.635998e-06\n",
      "k =  6071, f(x) = 1.441684e-09, |df|=1.201954e-06\n",
      "k =  6072, f(x) = 1.440624e-09, |df|=1.875579e-06\n",
      "k =  6073, f(x) = 1.439188e-09, |df|=1.309253e-06\n",
      "k =  6074, f(x) = 1.438144e-09, |df|=1.064813e-06\n",
      "k =  6075, f(x) = 1.436738e-09, |df|=1.452402e-06\n",
      "k =  6076, f(x) = 1.435609e-09, |df|=1.122442e-06\n",
      "k =  6077, f(x) = 1.434351e-09, |df|=1.639861e-06\n",
      "k =  6078, f(x) = 1.433098e-09, |df|=1.202165e-06\n",
      "k =  6079, f(x) = 1.432055e-09, |df|=1.881165e-06\n",
      "k =  6080, f(x) = 1.430620e-09, |df|=1.310471e-06\n",
      "k =  6081, f(x) = 1.429579e-09, |df|=1.063626e-06\n",
      "k =  6082, f(x) = 1.428186e-09, |df|=1.454851e-06\n",
      "k =  6083, f(x) = 1.427060e-09, |df|=1.121881e-06\n",
      "k =  6084, f(x) = 1.425817e-09, |df|=1.643779e-06\n",
      "k =  6085, f(x) = 1.424565e-09, |df|=1.202413e-06\n",
      "k =  6086, f(x) = 1.423539e-09, |df|=1.886811e-06\n",
      "k =  6087, f(x) = 1.422103e-09, |df|=1.311732e-06\n",
      "k =  6088, f(x) = 1.421065e-09, |df|=1.062465e-06\n",
      "k =  6089, f(x) = 1.419687e-09, |df|=1.457348e-06\n",
      "k =  6090, f(x) = 1.418563e-09, |df|=1.121352e-06\n",
      "k =  6091, f(x) = 1.417335e-09, |df|=1.647752e-06\n",
      "k =  6092, f(x) = 1.416084e-09, |df|=1.202698e-06\n",
      "k =  6093, f(x) = 1.414974e-09, |df|=1.393184e-06\n",
      "k =  6094, f(x) = 1.413892e-09, |df|=1.093933e-06\n",
      "k =  6095, f(x) = 1.412604e-09, |df|=1.564789e-06\n",
      "k =  6096, f(x) = 1.411414e-09, |df|=1.165700e-06\n",
      "k =  6097, f(x) = 1.410314e-09, |df|=1.786797e-06\n",
      "k =  6098, f(x) = 1.408964e-09, |df|=1.263751e-06\n",
      "k =  6099, f(x) = 1.407959e-09, |df|=1.040992e-06\n",
      "k =  6100, f(x) = 1.406554e-09, |df|=1.395217e-06\n",
      "k =  6101, f(x) = 1.405475e-09, |df|=1.093169e-06\n",
      "k =  6102, f(x) = 1.404201e-09, |df|=1.568205e-06\n",
      "k =  6103, f(x) = 1.403013e-09, |df|=1.165681e-06\n",
      "k =  6104, f(x) = 1.401929e-09, |df|=1.791847e-06\n",
      "k =  6105, f(x) = 1.400579e-09, |df|=1.264673e-06\n",
      "k =  6106, f(x) = 1.399578e-09, |df|=1.039681e-06\n",
      "k =  6107, f(x) = 1.398186e-09, |df|=1.397296e-06\n",
      "k =  6108, f(x) = 1.397110e-09, |df|=1.092435e-06\n",
      "k =  6109, f(x) = 1.395850e-09, |df|=1.571673e-06\n",
      "k =  6110, f(x) = 1.394663e-09, |df|=1.165697e-06\n",
      "k =  6111, f(x) = 1.393595e-09, |df|=1.796955e-06\n",
      "k =  6112, f(x) = 1.392245e-09, |df|=1.265635e-06\n",
      "k =  6113, f(x) = 1.391248e-09, |df|=1.038395e-06\n",
      "k =  6114, f(x) = 1.389868e-09, |df|=1.399421e-06\n",
      "k =  6115, f(x) = 1.388795e-09, |df|=1.091731e-06\n",
      "k =  6116, f(x) = 1.387549e-09, |df|=1.575194e-06\n",
      "k =  6117, f(x) = 1.386364e-09, |df|=1.165748e-06\n",
      "k =  6118, f(x) = 1.385313e-09, |df|=1.802121e-06\n",
      "k =  6119, f(x) = 1.383962e-09, |df|=1.266639e-06\n",
      "k =  6120, f(x) = 1.382968e-09, |df|=1.037133e-06\n",
      "k =  6121, f(x) = 1.381602e-09, |df|=1.401594e-06\n",
      "k =  6122, f(x) = 1.380531e-09, |df|=1.091057e-06\n",
      "k =  6123, f(x) = 1.379300e-09, |df|=1.578767e-06\n",
      "k =  6124, f(x) = 1.378115e-09, |df|=1.165834e-06\n",
      "k =  6125, f(x) = 1.377080e-09, |df|=1.807346e-06\n",
      "k =  6126, f(x) = 1.375730e-09, |df|=1.267684e-06\n",
      "k =  6127, f(x) = 1.374739e-09, |df|=1.035897e-06\n",
      "k =  6128, f(x) = 1.373386e-09, |df|=1.403813e-06\n",
      "k =  6129, f(x) = 1.372317e-09, |df|=1.090412e-06\n",
      "k =  6130, f(x) = 1.371100e-09, |df|=1.582393e-06\n",
      "k =  6131, f(x) = 1.369918e-09, |df|=1.165956e-06\n",
      "k =  6132, f(x) = 1.368898e-09, |df|=1.812629e-06\n",
      "k =  6133, f(x) = 1.367548e-09, |df|=1.268770e-06\n",
      "k =  6134, f(x) = 1.366560e-09, |df|=1.034686e-06\n",
      "k =  6135, f(x) = 1.365220e-09, |df|=1.406079e-06\n",
      "k =  6136, f(x) = 1.364154e-09, |df|=1.089798e-06\n",
      "k =  6137, f(x) = 1.362951e-09, |df|=1.586071e-06\n",
      "k =  6138, f(x) = 1.361770e-09, |df|=1.166113e-06\n",
      "k =  6139, f(x) = 1.360766e-09, |df|=1.817971e-06\n",
      "k =  6140, f(x) = 1.359416e-09, |df|=1.269897e-06\n",
      "k =  6141, f(x) = 1.358431e-09, |df|=1.033500e-06\n",
      "k =  6142, f(x) = 1.357104e-09, |df|=1.408392e-06\n",
      "k =  6143, f(x) = 1.356040e-09, |df|=1.089214e-06\n",
      "k =  6144, f(x) = 1.354851e-09, |df|=1.589802e-06\n",
      "k =  6145, f(x) = 1.353671e-09, |df|=1.166306e-06\n",
      "k =  6146, f(x) = 1.352684e-09, |df|=1.823371e-06\n",
      "k =  6147, f(x) = 1.351333e-09, |df|=1.271065e-06\n",
      "k =  6148, f(x) = 1.350352e-09, |df|=1.032340e-06\n",
      "k =  6149, f(x) = 1.349037e-09, |df|=1.410753e-06\n",
      "k =  6150, f(x) = 1.347976e-09, |df|=1.088660e-06\n",
      "k =  6151, f(x) = 1.346801e-09, |df|=1.593586e-06\n",
      "k =  6152, f(x) = 1.345623e-09, |df|=1.166535e-06\n",
      "k =  6153, f(x) = 1.344652e-09, |df|=1.828830e-06\n",
      "k =  6154, f(x) = 1.343300e-09, |df|=1.272275e-06\n",
      "k =  6155, f(x) = 1.342322e-09, |df|=1.031205e-06\n",
      "k =  6156, f(x) = 1.341020e-09, |df|=1.413160e-06\n",
      "k =  6157, f(x) = 1.339961e-09, |df|=1.088136e-06\n",
      "k =  6158, f(x) = 1.338800e-09, |df|=1.597423e-06\n",
      "k =  6159, f(x) = 1.337623e-09, |df|=1.166800e-06\n",
      "k =  6160, f(x) = 1.336668e-09, |df|=1.834348e-06\n",
      "k =  6161, f(x) = 1.335316e-09, |df|=1.273527e-06\n",
      "k =  6162, f(x) = 1.334341e-09, |df|=1.030095e-06\n",
      "k =  6163, f(x) = 1.333051e-09, |df|=1.415615e-06\n",
      "k =  6164, f(x) = 1.331995e-09, |df|=1.087643e-06\n",
      "k =  6165, f(x) = 1.330848e-09, |df|=1.601313e-06\n",
      "k =  6166, f(x) = 1.329672e-09, |df|=1.167100e-06\n",
      "k =  6167, f(x) = 1.328633e-09, |df|=1.353027e-06\n",
      "k =  6168, f(x) = 1.327616e-09, |df|=1.060868e-06\n",
      "k =  6169, f(x) = 1.326413e-09, |df|=1.520423e-06\n",
      "k =  6170, f(x) = 1.325293e-09, |df|=1.130982e-06\n",
      "k =  6171, f(x) = 1.324268e-09, |df|=1.736884e-06\n",
      "k =  6172, f(x) = 1.322997e-09, |df|=1.226725e-06\n",
      "k =  6173, f(x) = 1.322054e-09, |df|=1.009147e-06\n",
      "k =  6174, f(x) = 1.320739e-09, |df|=1.355030e-06\n",
      "k =  6175, f(x) = 1.319725e-09, |df|=1.060146e-06\n",
      "k =  6176, f(x) = 1.318535e-09, |df|=1.523771e-06\n",
      "k =  6177, f(x) = 1.317417e-09, |df|=1.130987e-06\n",
      "k =  6178, f(x) = 1.316408e-09, |df|=1.741821e-06\n",
      "k =  6179, f(x) = 1.315136e-09, |df|=1.227646e-06\n",
      "k =  6180, f(x) = 1.314196e-09, |df|=1.007891e-06\n",
      "k =  6181, f(x) = 1.312894e-09, |df|=1.357077e-06\n",
      "k =  6182, f(x) = 1.311883e-09, |df|=1.059454e-06\n",
      "k =  6183, f(x) = 1.310706e-09, |df|=1.527170e-06\n",
      "k =  6184, f(x) = 1.309589e-09, |df|=1.131025e-06\n",
      "k =  6185, f(x) = 1.308595e-09, |df|=1.746815e-06\n",
      "k =  6186, f(x) = 1.307324e-09, |df|=1.228607e-06\n",
      "k =  6187, f(x) = 1.306387e-09, |df|=1.006660e-06\n",
      "k =  6188, f(x) = 1.305097e-09, |df|=1.359170e-06\n",
      "k =  6189, f(x) = 1.304088e-09, |df|=1.058790e-06\n",
      "k =  6190, f(x) = 1.302924e-09, |df|=1.530620e-06\n",
      "k =  6191, f(x) = 1.301809e-09, |df|=1.131098e-06\n",
      "k =  6192, f(x) = 1.300830e-09, |df|=1.751865e-06\n",
      "k =  6193, f(x) = 1.299558e-09, |df|=1.229608e-06\n",
      "k =  6194, f(x) = 1.298625e-09, |df|=1.005452e-06\n",
      "k =  6195, f(x) = 1.297347e-09, |df|=1.361308e-06\n",
      "k =  6196, f(x) = 1.296340e-09, |df|=1.058155e-06\n",
      "k =  6197, f(x) = 1.295190e-09, |df|=1.534121e-06\n",
      "k =  6198, f(x) = 1.294076e-09, |df|=1.131204e-06\n",
      "k =  6199, f(x) = 1.293112e-09, |df|=1.756972e-06\n",
      "k =  6200, f(x) = 1.291841e-09, |df|=1.230648e-06\n",
      "k =  6201, f(x) = 1.290910e-09, |df|=1.004269e-06\n",
      "k =  6202, f(x) = 1.289644e-09, |df|=1.363492e-06\n",
      "k =  6203, f(x) = 1.288640e-09, |df|=1.057549e-06\n",
      "k =  6204, f(x) = 1.287503e-09, |df|=1.537673e-06\n",
      "k =  6205, f(x) = 1.286391e-09, |df|=1.131346e-06\n",
      "k =  6206, f(x) = 1.285441e-09, |df|=1.762136e-06\n",
      "k =  6207, f(x) = 1.284170e-09, |df|=1.231728e-06\n",
      "k =  6208, f(x) = 1.283242e-09, |df|=1.003111e-06\n",
      "k =  6209, f(x) = 1.281989e-09, |df|=1.365721e-06\n",
      "k =  6210, f(x) = 1.280987e-09, |df|=1.056973e-06\n",
      "k =  6211, f(x) = 1.279863e-09, |df|=1.541277e-06\n",
      "k =  6212, f(x) = 1.278752e-09, |df|=1.131521e-06\n",
      "k =  6213, f(x) = 1.277818e-09, |df|=1.767357e-06\n",
      "k =  6214, f(x) = 1.276546e-09, |df|=1.232849e-06\n",
      "k =  6215, f(x) = 1.275621e-09, |df|=1.001977e-06\n",
      "k =  6216, f(x) = 1.274380e-09, |df|=1.367996e-06\n",
      "k =  6217, f(x) = 1.273380e-09, |df|=1.056426e-06\n",
      "k =  6218, f(x) = 1.272270e-09, |df|=1.544931e-06\n",
      "k =  6219, f(x) = 1.271160e-09, |df|=1.131732e-06\n",
      "k =  6220, f(x) = 1.270241e-09, |df|=1.772635e-06\n",
      "k =  6221, f(x) = 1.268969e-09, |df|=1.234009e-06\n",
      "k =  6222, f(x) = 1.268047e-09, |df|=1.000867e-06\n",
      "k =  6223, f(x) = 1.266817e-09, |df|=1.370317e-06\n",
      "k =  6224, f(x) = 1.265820e-09, |df|=1.055908e-06\n",
      "k =  6225, f(x) = 1.264723e-09, |df|=1.548637e-06\n",
      "k =  6226, f(x) = 1.263614e-09, |df|=1.131977e-06\n",
      "k =  6227, f(x) = 1.262710e-09, |df|=1.777970e-06\n",
      "k =  6228, f(x) = 1.261438e-09, |df|=1.235210e-06\n",
      "Success!\n"
     ]
    }
   ],
   "source": [
    "from scipy.linalg import hilbert \n",
    "\n",
    "n = 5\n",
    "A = hilbert(n)\n",
    "b = np.zeros(n)\n",
    "\n",
    "f = lambda x: 0.5*x.dot(A.dot(x))-b.dot(x)\n",
    "df= lambda x: A.dot(x)-b\n",
    "\n",
    "x = np.ones(n)\n",
    "grad_norm = 1.0\n",
    "\n",
    "c1 = 0.1\n",
    "c2 = 0.3\n",
    "k  = 0\n",
    "\n",
    "while True:\n",
    "    grad  = df(x)\n",
    "    gradn = np.linalg.norm(grad)\n",
    "    if gradn < 1.0E-06:\n",
    "        print(\"Success!\")\n",
    "        break\n",
    "    else:\n",
    "        print(\"k = %5d, f(x) = %e, |df|=%e\" % (k,f(x),gradn))\n",
    "    p     = -grad\n",
    "    #alpha = armijo_linesearch(f,df,x,p,1.0,c1)\n",
    "    #alpha = bisection_linesearch(f,df,x,p,1.0,c1,c2)\n",
    "    alpha = swolfe_linesearch(f,df,x,p,1.0,c1,c2)\n",
    "    x    += alpha*p\n",
    "    k    += 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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    "name": "ipython",
    "version": 3
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   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
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