phy-4660/lag/data/clag_analysis-origbins-noLFerrors-4368A.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Populating the interactive namespace from numpy and matplotlib\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Container object of 3 artists>"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f975aacfd50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import sys\n",
    "import getopt\n",
    "sys.path.insert(1,\"/usr/local/science/clag/\")\n",
    "import clag\n",
    "%pylab inline\n",
    "\n",
    "from scipy.stats import norm\n",
    "from scipy.stats import lognorm\n",
    "from scipy.optimize import curve_fit\n",
    "import numpy.fft\n",
    "\n",
    "ref_file=\"lc/1367A.lc\"\n",
    "echo_file=\"lc/4368A.lc\"\n",
    "\n",
    "\n",
    "dt = 0.01\n",
    "t1, l1, l1e = np.loadtxt(ref_file).T\n",
    "errorbar(t1, l1, yerr=l1e, fmt='o')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.005     ,  0.01861938,  0.04473305,  0.06933623,  0.10747115,\n",
       "        0.16658029,  0.25819945,  0.40020915,  0.62032418])"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "\n",
    "\n",
    "fqL = np.array([0.0049999999, 0.018619375, 0.044733049, 0.069336227, 0.10747115, 0.16658029, \n",
    "                0.25819945, 0.40020915, 0.62032418])\n",
    "# fqL = np.logspace(np.log10(0.0006),np.log10(1.2),11)\n",
    "nfq = len(fqL) - 1\n",
    "fqd = 10**(np.log10( (fqL[:-1]*fqL[1:]) )/2.)\n",
    "\n",
    "\n",
    "fqL\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "   1 4.342e-01 5.077e+01 inf -- -5.530e+02 -- 1 1 1 1 1 1 1 1\n",
      "   2 7.674e-01 5.065e+01 8.300e+01 -- -4.700e+02 -- 0.653018 0.587019 0.568277 0.567457 0.566281 0.566085 0.565773 0.566163\n",
      "   3 3.298e+00 5.043e+01 8.075e+01 -- -3.893e+02 -- 0.414806 0.209135 0.141159 0.13784 0.133393 0.132728 0.131612 0.132761\n",
      "   4 1.572e+00 5.010e+01 7.754e+01 -- -3.117e+02 -- 0.322539 -0.0834456 -0.273066 -0.284295 -0.297612 -0.299435 -0.302479 -0.300412\n",
      "   5 5.908e-01 4.964e+01 7.386e+01 -- -2.379e+02 -- 0.302357 -0.214604 -0.654658 -0.688754 -0.723838 -0.729279 -0.736418 -0.733888\n",
      "   6 3.713e-01 4.877e+01 6.953e+01 -- -1.683e+02 -- 0.284419 -0.200357 -0.96379 -1.05472 -1.13798 -1.15477 -1.17031 -1.16748\n",
      "   7 2.709e-01 4.671e+01 6.269e+01 -- -1.056e+02 -- 0.277768 -0.185001 -1.13047 -1.34026 -1.52128 -1.56845 -1.6043 -1.60101\n",
      "   8 2.135e-01 4.361e+01 5.281e+01 -- -5.282e+01 -- 0.277012 -0.185189 -1.16375 -1.49463 -1.83211 -1.9477 -2.03737 -2.03476\n",
      "   9 1.764e-01 3.767e+01 4.019e+01 -- -1.264e+01 -- 0.282161 -0.184207 -1.17891 -1.53049 -2.01851 -2.24569 -2.46562 -2.46922\n",
      "  10 1.508e-01 2.738e+01 2.645e+01 -- 1.382e+01 -- 0.289545 -0.182463 -1.18795 -1.52893 -2.08812 -2.41103 -2.87498 -2.90486\n",
      "  11 1.349e-01 1.468e+01 1.390e+01 -- 2.772e+01 -- 0.293547 -0.180898 -1.1897 -1.52803 -2.10944 -2.46526 -3.22702 -3.34288\n",
      "  12 1.358e-01 5.365e+00 5.378e+00 -- 3.309e+01 -- 0.295456 -0.179941 -1.19052 -1.52801 -2.11928 -2.48294 -3.46233 -3.79368\n",
      "  13 1.868e-01 1.338e+00 1.633e+00 -- 3.473e+01 -- 0.297315 -0.17923 -1.19104 -1.52666 -2.12491 -2.48975 -3.55567 -4.30889\n",
      "  14 6.248e-01 2.604e-01 4.517e-01 -- 3.518e+01 -- 0.299091 -0.178645 -1.191 -1.52463 -2.12805 -2.4915 -3.5672 -5.11363\n",
      "  15 2.744e+02 2.611e-01 7.022e-02 -- 3.525e+01 -- 0.300248 -0.178286 -1.19075 -1.52307 -2.12961 -2.49161 -3.56337 -8\n",
      "  16 2.745e+02 2.782e-01 4.368e-04 -- 3.525e+01 -- 0.300566 -0.178158 -1.19062 -1.52252 -2.13009 -2.49151 -3.5617 -8\n",
      "  17 2.745e+02 2.805e-01 6.410e-05 -- 3.525e+01 -- 0.300599 -0.178134 -1.19059 -1.52242 -2.13017 -2.49148 -3.56148 -8\n",
      "********************\n",
      "0.300599 -0.178134 -1.19059 -1.52242 -2.13017 -2.49148 -3.56148 -8\n",
      "0.238931 0.202434 0.232634 0.177249 0.153039 0.132988 0.297259 3285.23\n",
      "-0.000915535 -0.00131061 -0.00195128 -0.00497899 -0.0226059 -0.0776175 -0.280541 -0.000206646\n",
      "********************\n"
     ]
    }
   ],
   "source": [
    "P1 = clag.clag('psd10r', [t1], [l1], [l1e], dt, fqL)\n",
    "p1 = np.ones(nfq)\n",
    "p1, p1e = clag.optimize(P1, p1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\t### errors for param 0 ###\n",
      "+++ 3.525e+01 3.480e+01 3.006e-01 5.395e-01 0.891 +++\n",
      "+++ 3.525e+01 3.431e+01 3.006e-01 6.590e-01 1.87 +++\n",
      "+++ 3.525e+01 3.458e+01 3.006e-01 5.993e-01 1.34 +++\n",
      "+++ 3.525e+01 3.469e+01 3.006e-01 5.694e-01 1.11 +++\n",
      "+++ 3.525e+01 3.475e+01 3.006e-01 5.545e-01 0.997 +++\n",
      "\t### errors for param 1 ###\n",
      "+++ 3.525e+01 3.476e+01 -1.781e-01 2.430e-02 0.973 +++\n",
      "+++ 3.525e+01 3.421e+01 -1.781e-01 1.255e-01 2.07 +++\n",
      "+++ 3.525e+01 3.451e+01 -1.781e-01 7.491e-02 1.48 +++\n",
      "+++ 3.525e+01 3.464e+01 -1.781e-01 4.961e-02 1.21 +++\n",
      "+++ 3.525e+01 3.470e+01 -1.781e-01 3.696e-02 1.09 +++\n",
      "+++ 3.525e+01 3.473e+01 -1.781e-01 3.063e-02 1.03 +++\n",
      "+++ 3.525e+01 3.475e+01 -1.781e-01 2.747e-02   1 +++\n",
      "\t### errors for param 2 ###\n",
      "+++ 3.525e+01 3.511e+01 -1.191e+00 -1.074e+00 0.276 +++\n",
      "+++ 3.525e+01 3.495e+01 -1.191e+00 -1.016e+00 0.598 +++\n",
      "+++ 3.525e+01 3.485e+01 -1.191e+00 -9.870e-01 0.8 +++\n",
      "+++ 3.525e+01 3.479e+01 -1.191e+00 -9.725e-01 0.91 +++\n",
      "+++ 3.525e+01 3.476e+01 -1.191e+00 -9.652e-01 0.968 +++\n",
      "+++ 3.525e+01 3.475e+01 -1.191e+00 -9.616e-01 0.997 +++\n",
      "\t### errors for param 3 ###\n",
      "+++ 3.525e+01 3.482e+01 -1.522e+00 -1.345e+00 0.865 +++\n",
      "+++ 3.525e+01 3.432e+01 -1.522e+00 -1.257e+00 1.86 +++\n",
      "+++ 3.525e+01 3.459e+01 -1.522e+00 -1.301e+00 1.32 +++\n",
      "+++ 3.525e+01 3.471e+01 -1.522e+00 -1.323e+00 1.08 +++\n",
      "+++ 3.525e+01 3.476e+01 -1.522e+00 -1.334e+00 0.97 +++\n",
      "+++ 3.525e+01 3.473e+01 -1.522e+00 -1.329e+00 1.03 +++\n",
      "+++ 3.525e+01 3.475e+01 -1.522e+00 -1.331e+00 0.998 +++\n",
      "\t### errors for param 4 ###\n",
      "+++ 3.525e+01 3.481e+01 -2.130e+00 -1.977e+00 0.874 +++\n",
      "+++ 3.525e+01 3.429e+01 -2.130e+00 -1.901e+00 1.91 +++\n",
      "+++ 3.525e+01 3.457e+01 -2.130e+00 -1.939e+00 1.35 +++\n",
      "+++ 3.525e+01 3.470e+01 -2.130e+00 -1.958e+00 1.1 +++\n",
      "+++ 3.525e+01 3.476e+01 -2.130e+00 -1.968e+00 0.983 +++\n",
      "+++ 3.525e+01 3.473e+01 -2.130e+00 -1.963e+00 1.04 +++\n",
      "+++ 3.525e+01 3.474e+01 -2.130e+00 -1.965e+00 1.01 +++\n",
      "+++ 3.525e+01 3.475e+01 -2.130e+00 -1.966e+00 0.997 +++\n",
      "\t### errors for param 5 ###\n",
      "+++ 3.525e+01 3.474e+01 -2.491e+00 -2.358e+00 1.01 +++\n",
      "+++ 3.525e+01 3.512e+01 -2.491e+00 -2.425e+00 0.263 +++\n",
      "+++ 3.525e+01 3.496e+01 -2.491e+00 -2.392e+00 0.579 +++\n",
      "+++ 3.525e+01 3.486e+01 -2.491e+00 -2.375e+00 0.781 +++\n",
      "+++ 3.525e+01 3.480e+01 -2.491e+00 -2.367e+00 0.893 +++\n",
      "+++ 3.525e+01 3.477e+01 -2.491e+00 -2.363e+00 0.952 +++\n",
      "+++ 3.525e+01 3.476e+01 -2.491e+00 -2.361e+00 0.982 +++\n",
      "+++ 3.525e+01 3.475e+01 -2.491e+00 -2.360e+00 0.997 +++\n",
      "\t### errors for param 6 ###\n",
      "+++ 3.525e+01 3.507e+01 -3.561e+00 -3.413e+00 0.363 +++\n",
      "+++ 3.525e+01 3.484e+01 -3.561e+00 -3.339e+00 0.814 +++\n",
      "+++ 3.525e+01 3.468e+01 -3.561e+00 -3.301e+00 1.13 +++\n",
      "+++ 3.525e+01 3.477e+01 -3.561e+00 -3.320e+00 0.962 +++\n",
      "+++ 3.525e+01 3.473e+01 -3.561e+00 -3.311e+00 1.04 +++\n",
      "+++ 3.525e+01 3.475e+01 -3.561e+00 -3.315e+00   1 +++\n",
      "\t### errors for param 7 ###\n",
      "+++ 3.525e+01 3.524e+01 -8.000e+00 -6.000e+00 0.0178 +++\n",
      "+++ 3.525e+01 3.515e+01 -8.000e+00 -5.000e+00 0.187 +++\n",
      "+++ 3.525e+01 3.494e+01 -8.000e+00 -4.500e+00 0.618 +++\n",
      "+++ 3.525e+01 3.466e+01 -8.000e+00 -4.250e+00 1.18 +++\n",
      "+++ 3.525e+01 3.482e+01 -8.000e+00 -4.375e+00 0.851 +++\n",
      "+++ 3.525e+01 3.475e+01 -8.000e+00 -4.312e+00   1 +++\n",
      "********************\n",
      "0.300605 -0.178131 -1.19059 -1.52241 -2.13019 -2.49148 -3.56144 -8\n",
      "0.253864 0.205597 0.228999 0.191096 0.1638 0.131949 0.246154 3.6875\n",
      "********************\n"
     ]
    }
   ],
   "source": [
    "p1, p1e = clag.errors(P1, p1, p1e)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Container object of 3 artists>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAgkAAAFrCAYAAABbtho0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n1Wpt9anVaq5RkDrAkCC
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f97727f7210>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "xscale('log'); ylim(-4,2)\n",
    "errorbar(fqd, p1, yerr=p1e, fmt='o', ms=10, color=\"black\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Container object of 3 artists>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAg8AAAFkCAYAAACn/timAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nh5bylrhDE4U+xp+qQu2
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f97727d4ed0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "t2, l2, l2e = np.loadtxt(echo_file).T\n",
    "errorbar(t1, l1, yerr=l1e, fmt='o', color=\"green\")\n",
    "errorbar(t2, l2, yerr=l2e, fmt='o', color=\"black\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "   1 4.361e-01 5.503e+01 inf -- -2.230e+02 -- 1 1 1 1 1 1 1 1\n",
      "   2 7.719e-01 5.459e+01 6.638e+01 -- -1.566e+02 -- 0.578708 0.567444 0.565767 0.565645 0.565269 0.564635 0.565645 0.563945\n",
      "   3 3.383e+00 5.393e+01 6.562e+01 -- -9.097e+01 -- 0.185507 0.1439 0.132758 0.130601 0.130916 0.129667 0.131085 0.12865\n",
      "   4 1.445e+00 5.277e+01 6.426e+01 -- -2.671e+01 -- -0.142659 -0.257806 -0.298121 -0.305924 -0.303305 -0.305147 -0.304059 -0.306574\n",
      "   5 5.917e-01 5.083e+01 6.196e+01 -- 3.525e+01 -- -0.348804 -0.608981 -0.725147 -0.744945 -0.737788 -0.740133 -0.740511 -0.742464\n",
      "   6 3.723e-01 4.792e+01 5.867e+01 -- 9.392e+01 -- -0.417419 -0.869413 -1.14636 -1.18533 -1.17119 -1.17501 -1.17867 -1.1784\n",
      "   7 2.715e-01 4.436e+01 5.444e+01 -- 1.484e+02 -- -0.421165 -1.0235 -1.55636 -1.61922 -1.59707 -1.60795 -1.61745 -1.61028\n",
      "   8 3.575e-01 4.073e+01 4.955e+01 -- 1.979e+02 -- -0.374308 -1.10343 -1.93497 -2.03239 -2.00811 -2.03747 -2.05653 -2.03339\n",
      "   9 5.926e-01 3.677e+01 4.460e+01 -- 2.425e+02 -- -0.240503 -1.1527 -2.25517 -2.39911 -2.40429 -2.4649 -2.49991 -2.44956\n",
      "  10 7.482e-01 3.119e+01 3.817e+01 -- 2.807e+02 -- -0.0979917 -1.17663 -2.4937 -2.68072 -2.78672 -2.88942 -2.95412 -2.86404\n",
      "  11 1.685e+00 2.383e+01 2.855e+01 -- 3.092e+02 -- -0.0246695 -1.17354 -2.62135 -2.85109 -3.13126 -3.28381 -3.42245 -3.27294\n",
      "  12 1.725e+00 1.552e+01 1.678e+01 -- 3.260e+02 -- 0.0169008 -1.15973 -2.6659 -2.93332 -3.39842 -3.56844 -3.89212 -3.66754\n",
      "  13 4.932e-01 7.866e+00 6.878e+00 -- 3.329e+02 -- 0.0460619 -1.14068 -2.67864 -2.97196 -3.56721 -3.67273 -4.2811 -4.0398\n",
      "  14 1.822e-01 2.994e+00 2.075e+00 -- 3.350e+02 -- 0.0687779 -1.12228 -2.6668 -2.98023 -3.66584 -3.7084 -4.35974 -4.38147\n",
      "  15 4.696e-02 1.029e+00 5.962e-01 -- 3.356e+02 -- 0.0813069 -1.11484 -2.65366 -2.96318 -3.74202 -3.72746 -4.24095 -4.67811\n",
      "  16 2.197e-02 3.378e-01 1.595e-01 -- 3.357e+02 -- 0.0842152 -1.11741 -2.64665 -2.94344 -3.80682 -3.72328 -4.23445 -4.89778\n",
      "  17 1.076e-02 1.040e-01 2.591e-02 -- 3.357e+02 -- 0.0848765 -1.11851 -2.639 -2.93736 -3.84761 -3.73244 -4.19543 -5.00538\n",
      "  18 2.514e-03 8.065e-02 3.505e-03 -- 3.357e+02 -- 0.0846132 -1.1201 -2.63699 -2.93391 -3.86186 -3.72437 -4.196 -5.05922\n",
      "  19 3.048e-03 6.689e-02 4.875e-04 -- 3.357e+02 -- 0.0844096 -1.12043 -2.63505 -2.93301 -3.87157 -3.72842 -4.18689 -5.06117\n",
      "  20 1.543e-03 4.977e-02 1.110e-04 -- 3.357e+02 -- 0.0843879 -1.12064 -2.63495 -2.93266 -3.87045 -3.72409 -4.18999 -5.0766\n",
      "  21 1.622e-03 4.180e-02 4.688e-05 -- 3.357e+02 -- 0.084282 -1.1207 -2.63451 -2.93251 -3.87392 -3.72714 -4.1865 -5.06876\n",
      "********************\n",
      "0.084282 -1.1207 -2.63451 -2.93251 -3.87392 -3.72714 -4.1865 -5.06876\n",
      "0.228004 0.210453 0.282191 0.221429 0.392762 0.234543 0.3158 0.979911\n",
      "0.000969367 -0.000244794 -0.00155556 0.00155923 0.0136076 0.0418006 -0.0299347 -0.0115783\n",
      "********************\n"
     ]
    }
   ],
   "source": [
    "P2 = clag.clag('psd10r', [t2], [l2], [l2e], dt, fqL)\n",
    "p2 = np.ones(nfq)\n",
    "p2, p2e = clag.optimize(P2, p2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\t### errors for param 0 ###\n",
      "+++ 3.357e+02 3.353e+02 8.433e-02 3.123e-01 0.809 +++\n",
      "+++ 3.357e+02 3.349e+02 8.433e-02 4.263e-01 1.68 +++\n",
      "+++ 3.357e+02 3.351e+02 8.433e-02 3.693e-01 1.21 +++\n",
      "+++ 3.357e+02 3.352e+02 8.433e-02 3.408e-01 1.01 +++\n",
      "\t### errors for param 1 ###\n",
      "+++ 3.357e+02 3.353e+02 -1.121e+00 -9.103e-01 0.833 +++\n",
      "+++ 3.357e+02 3.349e+02 -1.121e+00 -8.050e-01 1.76 +++\n",
      "+++ 3.357e+02 3.351e+02 -1.121e+00 -8.576e-01 1.26 +++\n",
      "+++ 3.357e+02 3.352e+02 -1.121e+00 -8.839e-01 1.04 +++\n",
      "+++ 3.357e+02 3.353e+02 -1.121e+00 -8.971e-01 0.933 +++\n",
      "+++ 3.357e+02 3.353e+02 -1.121e+00 -8.905e-01 0.985 +++\n",
      "+++ 3.357e+02 3.352e+02 -1.121e+00 -8.872e-01 1.01 +++\n",
      "+++ 3.357e+02 3.352e+02 -1.121e+00 -8.889e-01 0.998 +++\n",
      "\t### errors for param 2 ###\n",
      "+++ 3.357e+02 3.353e+02 -2.635e+00 -2.352e+00 0.888 +++\n",
      "+++ 3.357e+02 3.348e+02 -2.635e+00 -2.211e+00 1.91 +++\n",
      "+++ 3.357e+02 3.351e+02 -2.635e+00 -2.282e+00 1.36 +++\n",
      "+++ 3.357e+02 3.352e+02 -2.635e+00 -2.317e+00 1.11 +++\n",
      "+++ 3.357e+02 3.352e+02 -2.635e+00 -2.335e+00 0.997 +++\n",
      "\t### errors for param 3 ###\n",
      "+++ 3.357e+02 3.353e+02 -2.933e+00 -2.711e+00 0.893 +++\n",
      "+++ 3.357e+02 3.348e+02 -2.933e+00 -2.600e+00 1.98 +++\n",
      "+++ 3.357e+02 3.351e+02 -2.933e+00 -2.656e+00 1.38 +++\n",
      "+++ 3.357e+02 3.352e+02 -2.933e+00 -2.683e+00 1.13 +++\n",
      "+++ 3.357e+02 3.352e+02 -2.933e+00 -2.697e+00 1.01 +++\n",
      "\t### errors for param 4 ###\n",
      "+++ 3.357e+02 3.356e+02 -3.872e+00 -3.676e+00 0.27 +++\n",
      "+++ 3.357e+02 3.354e+02 -3.872e+00 -3.578e+00 0.656 +++\n",
      "+++ 3.357e+02 3.353e+02 -3.872e+00 -3.529e+00 0.919 +++\n",
      "+++ 3.357e+02 3.352e+02 -3.872e+00 -3.505e+00 1.07 +++\n",
      "+++ 3.357e+02 3.352e+02 -3.872e+00 -3.517e+00 0.994 +++\n",
      "\t### errors for param 5 ###\n",
      "+++ 3.357e+02 3.356e+02 -3.725e+00 -3.608e+00 0.326 +++\n",
      "+++ 3.357e+02 3.354e+02 -3.725e+00 -3.549e+00 0.747 +++\n",
      "+++ 3.357e+02 3.352e+02 -3.725e+00 -3.520e+00 1.03 +++\n",
      "+++ 3.357e+02 3.353e+02 -3.725e+00 -3.535e+00 0.881 +++\n",
      "+++ 3.357e+02 3.353e+02 -3.725e+00 -3.527e+00 0.952 +++\n",
      "+++ 3.357e+02 3.353e+02 -3.725e+00 -3.524e+00 0.989 +++\n",
      "+++ 3.357e+02 3.352e+02 -3.725e+00 -3.522e+00 1.01 +++\n",
      "\t### errors for param 6 ###\n",
      "+++ 3.357e+02 3.356e+02 -4.189e+00 -4.030e+00 0.334 +++\n",
      "+++ 3.357e+02 3.353e+02 -4.189e+00 -3.951e+00 0.82 +++\n",
      "+++ 3.357e+02 3.352e+02 -4.189e+00 -3.912e+00 1.18 +++\n",
      "+++ 3.357e+02 3.353e+02 -4.189e+00 -3.931e+00 0.987 +++\n",
      "+++ 3.357e+02 3.352e+02 -4.189e+00 -3.922e+00 1.08 +++\n",
      "+++ 3.357e+02 3.352e+02 -4.189e+00 -3.927e+00 1.03 +++\n",
      "+++ 3.357e+02 3.352e+02 -4.189e+00 -3.929e+00 1.01 +++\n",
      "\t### errors for param 7 ###\n",
      "+++ 3.357e+02 3.355e+02 -5.077e+00 -4.580e+00 0.558 +++\n",
      "+++ 3.357e+02 3.348e+02 -5.077e+00 -4.331e+00 1.79 +++\n",
      "+++ 3.357e+02 3.352e+02 -5.077e+00 -4.456e+00 1.04 +++\n",
      "+++ 3.357e+02 3.354e+02 -5.077e+00 -4.518e+00 0.777 +++\n",
      "+++ 3.357e+02 3.353e+02 -5.077e+00 -4.487e+00 0.901 +++\n",
      "+++ 3.357e+02 3.353e+02 -5.077e+00 -4.471e+00 0.971 +++\n",
      "+++ 3.357e+02 3.352e+02 -5.077e+00 -4.463e+00 1.01 +++\n",
      "********************\n",
      "0.0843333 -1.12071 -2.63465 -2.93252 -3.87183 -3.72454 -4.18887 -5.07698\n",
      "0.256503 0.231827 0.299857 0.235295 0.354897 0.202775 0.259869 0.613662\n",
      "********************\n"
     ]
    }
   ],
   "source": [
    "p2, p2e = clag.errors(P2, p2, p2e)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Container object of 3 artists>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAgkAAAFrCAYAAABbtho0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n+/Zx7ty5FdvG43HGx8c
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f975a60a390>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "xscale('log'); ylim(-6,2)\n",
    "errorbar(fqd, p1, yerr=p1e, fmt='o', ms=10, color=\"green\")\n",
    "errorbar(fqd, p2, yerr=p2e, fmt='o', ms=10, color=\"black\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "   1 4.674e+03 1.067e+01 inf -- 3.891e+02 -- -0.107531 -0.949418 -2.21262 -2.52746 -3.30101 -3.40801 -4.17516 -6.83849 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1\n",
      "   3 1.101e+02 1.211e+01 2.423e+00 -- 3.915e+02 -- -0.0911837 -0.911368 -2.19473 -2.50464 -3.26635 -3.36119 -4.17858 -6.53849 0.0224314 0.13674 0.236622 0.214641 0.153941 0.141456 0.0860925 -2.65496\n",
      "   5 3.499e+02 1.345e+01 2.206e+00 -- 3.937e+02 -- -0.0745994 -0.879737 -2.17195 -2.48014 -3.23698 -3.32257 -4.18252 -6.83849 -0.0437031 0.16436 0.347414 0.307699 0.194659 0.170845 0.0713363 1.432\n",
      "   7 5.441e+02 1.532e+01 2.037e+00 -- 3.958e+02 -- -0.0584518 -0.853102 -2.14774 -2.456 -3.21197 -3.29032 -4.1871 -7.13849 -0.100019 0.185908 0.435633 0.382521 0.226208 0.192552 0.0562607 1.59836\n",
      "   9 1.849e+02 1.731e+01 1.886e+00 -- 3.977e+02 -- -0.0431336 -0.830436 -2.1241 -2.43328 -3.1906 -3.26311 -4.19225 -7.43849 -0.148048 0.203221 0.505675 0.442641 0.251144 0.209088 0.0403995 2.5906\n",
      "  11 1.731e+04 1.942e+01 1.753e+00 -- 3.994e+02 -- -0.0288471 -0.810973 -2.10201 -2.41247 -3.17227 -3.23993 -4.19795 -7.73849 -0.189141 0.217465 0.561595 0.491159 0.271137 0.221974 0.0236847 0.232263\n",
      "  13 6.528e+03 2.165e+01 1.632e+00 -- 4.011e+02 -- -0.0156722 -0.794137 -2.08185 -2.39369 -3.15646 -3.22006 -4.20417 -7.43849 -0.224437 0.229415 0.606654 0.53056 0.287329 0.232192 0.00612053 0.325107\n",
      "  15 4.527e+02 2.400e+01 1.520e+00 -- 4.026e+02 -- -0.003614 -0.779481 -2.06369 -2.37687 -3.14277 -3.20293 -4.21087 -7.13849 -0.25488 0.239608 0.643331 0.562767 0.300521 0.240394 -0.0123632 1.71181\n",
      "  17 2.052e+03 2.647e+01 1.426e+00 -- 4.040e+02 -- 0.00736587 -0.766656 -2.04744 -2.36188 -3.13087 -3.1881 -4.21799 -7.43849 -0.281243 0.248428 0.673473 0.58925 0.311289 0.247033 -0.0318346 -0.392158\n",
      "  18 3.773e+00 5.593e+03 1.514e+00 -- 4.055e+02 -- 0.106995 -0.653906 -1.90262 -2.22854 -3.02717 -3.05917 -4.29289 -4.43849 -0.510384 0.325715 0.923411 0.807986 0.399154 0.301171 -0.237126 -1.01765\n",
      "  20 2.849e+00 3.659e+03 5.484e+00 -- 4.110e+02 -- 0.107323 -0.654528 -1.90254 -2.23194 -3.02323 -3.064 -4.28509 -4.32949 -0.509195 0.328192 0.912135 0.803339 0.389116 0.289516 -0.32659 -0.962776\n",
      "  22 1.486e+00 2.444e+03 3.340e+00 -- 4.143e+02 -- 0.108022 -0.654908 -1.90278 -2.23432 -3.01757 -3.06737 -4.25844 -4.25945 -0.507022 0.331633 0.909715 0.784568 0.370291 0.289219 -0.419626 -0.914908\n",
      "  24 9.532e-01 1.559e+03 2.394e+00 -- 4.167e+02 -- 0.108513 -0.655239 -1.90317 -2.23664 -3.01314 -3.07039 -4.24064 -4.21341 -0.504547 0.334668 0.90699 0.766684 0.356598 0.288412 -0.48198 -0.887983\n",
      "  25 1.060e+00 2.012e+02 1.863e+00 -- 4.149e+02 -- 0.112015 -0.658052 -1.90797 -2.25721 -2.98205 -3.09702 -4.14368 -3.91937 -0.477027 0.36146 0.872856 0.608912 0.263183 0.274467 -0.941403 -0.711503\n",
      "  26 6.891e-01 5.834e+02 5.512e+00 -- 4.204e+02 -- 0.112132 -0.654668 -1.90638 -2.25379 -3.06056 -3.07914 -4.76266 -3.9152 -0.42166 0.404325 0.803237 0.671367 0.321541 0.247382 -1.93887 -0.377098\n",
      "  28 4.161e-01 2.170e+02 1.164e+00 -- 4.215e+02 -- 0.111002 -0.655061 -1.90694 -2.25331 -3.04803 -3.07818 -4.87251 -3.9149 -0.433955 0.397673 0.809209 0.653739 0.311798 0.264429 -1.87993 -0.373049\n",
      "  30 4.034e-01 1.252e+02 5.089e-01 -- 4.221e+02 -- 0.110361 -0.655324 -1.90727 -2.253 -3.04023 -3.0776 -4.95911 -3.91453 -0.440907 0.393109 0.812583 0.641828 0.30727 0.275431 -1.81241 -0.369329\n",
      "  32 4.173e-01 1.421e+02 2.508e-01 -- 4.223e+02 -- 0.109998 -0.655506 -1.90746 -2.25281 -3.03521 -3.07721 -5.02214 -3.91419 -0.44479 0.38991 0.814296 0.633472 0.305273 0.282683 -1.7393 -0.365774\n",
      "  33 2.844e+01 4.813e+05 3.489e+01 -- 3.874e+02 -- 0.108249 -0.656743 -1.90855 -2.25163 -3.003 -3.0745 -5.3963 -3.91113 -0.462731 0.368115 0.820327 0.574151 0.299794 0.329367 -1.01341 -0.331703\n",
      "  36 1.265e+01 2.320e+05 1.439e+01 -- 4.018e+02 -- 0.109865 -0.656548 -1.90848 -2.25209 -3.0047 -3.07472 -5.3663 -3.91105 -0.437958 0.375118 0.819209 0.579752 0.302019 0.324713 -1.30159 -0.331943\n",
      "  39 6.733e+00 1.667e+05 5.585e+00 -- 4.074e+02 -- 0.111231 -0.65638 -1.90842 -2.25246 -3.00615 -3.0749 -5.3363 -3.91099 -0.420135 0.380536 0.818248 0.584365 0.30392 0.320786 -1.46618 -0.33213\n",
      "  42 3.976e+00 1.333e+05 3.474e+00 -- 4.109e+02 -- 0.112481 -0.65623 -1.90836 -2.25279 -3.00744 -3.07507 -5.3063 -3.91093 -0.405052 0.385134 0.817406 0.588389 0.305606 0.31735 -1.56491 -0.332295\n",
      "  45 3.037e+00 1.091e+05 2.625e+00 -- 4.135e+02 -- 0.113648 -0.656095 -1.90831 -2.25307 -3.00859 -3.07521 -5.2763 -3.91087 -0.391718 0.389141 0.816665 0.591957 0.307115 0.314316 -1.62712 -0.332443\n",
      "  47 5.206e+00 2.332e+06 1.467e+00 -- 4.120e+02 -- 0.124504 -0.654874 -1.90786 -2.25555 -3.0188 -3.07651 -4.9763 -3.91038 -0.272749 0.424266 0.810137 0.623655 0.320604 0.287511 -2.03571 -0.33378\n",
      "  49 3.404e+00 4.336e+05 5.127e+00 -- 4.171e+02 -- 0.114992 -0.655304 -1.90798 -2.25475 -3.01557 -3.07613 -5.08623 -3.9105 -0.414737 0.410238 0.811866 0.611592 0.316059 0.295817 -2.07572 -0.333075\n",
      "  51 2.831e+00 3.964e+04 3.716e+00 -- 4.209e+02 -- 0.120998 -0.654743 -1.90782 -2.25581 -3.01975 -3.07664 -4.90259 -3.91033 -0.273559 0.428183 0.809505 0.62668 0.3219 0.284945 -1.99017 -0.333892\n",
      "  53 9.648e-01 6.528e+03 2.044e+00 -- 4.229e+02 -- 0.111438 -0.655357 -1.90801 -2.25473 -3.01525 -3.07606 -5.0328 -3.91052 -0.350991 0.411981 0.811898 0.611992 0.315981 0.296109 -2.02358 -0.332869\n",
      "  55 6.664e-01 4.533e+03 5.395e-01 -- 4.234e+02 -- 0.115342 -0.655005 -1.90788 -2.25535 -3.01813 -3.07641 -4.91958 -3.91037 -0.317126 0.420377 0.810122 0.620816 0.319972 0.288893 -1.97289 -0.333205\n",
      "  57 1.352e-01 5.078e+03 2.047e-01 -- 4.236e+02 -- 0.113136 -0.655183 -1.90793 -2.25501 -3.01693 -3.07625 -4.95555 -3.91041 -0.338259 0.415156 0.810681 0.616936 0.318597 0.291917 -1.97334 -0.332782\n",
      "  58 4.391e+00 1.231e+05 9.307e+00 -- 4.143e+02 -- 0.121374 -0.654363 -1.90751 -2.25625 -3.02524 -3.0772 -4.67748 -3.90983 -0.292538 0.427891 0.804793 0.639809 0.331433 0.271874 -1.8091 -0.332351\n",
      "  60 7.456e-01 3.599e+03 8.350e+00 -- 4.227e+02 -- 0.106032 -0.655512 -1.90793 -2.25425 -3.01553 -3.07594 -4.84676 -3.91027 -0.421005 0.399168 0.809729 0.61079 0.31849 0.294571 -1.79863 -0.330294\n",
      "  62 1.392e-01 2.951e+03 7.707e-01 -- 4.235e+02 -- 0.109207 -0.655134 -1.90775 -2.25492 -3.01931 -3.07641 -4.74803 -3.91008 -0.389616 0.408214 0.807266 0.62061 0.323572 0.285397 -1.79761 -0.330504\n",
      "  64 4.741e-02 3.163e+03 7.625e-02 -- 4.235e+02 -- 0.109031 -0.655208 -1.90776 -2.25473 -3.01888 -3.07633 -4.75697 -3.91007 -0.39504 0.405859 0.807295 0.619007 0.323289 0.286476 -1.78732 -0.330095\n",
      "  65 7.877e-01 1.498e+04 9.182e-01 -- 4.245e+02 -- 0.112757 -0.655181 -1.90757 -2.25427 -3.02158 -3.07653 -4.69927 -3.9097 -0.391127 0.400991 0.803725 0.621415 0.329113 0.280586 -1.7026 -0.327321\n",
      "  67 7.769e-01 7.591e+03 8.463e-03 -- 4.245e+02 -- 0.111405 -0.655282 -1.9076 -2.25407 -3.02073 -3.07642 -4.71485 -3.90973 -0.421937 0.397325 0.804142 0.618422 0.327917 0.282676 -1.69714 -0.327119\n",
      "  69 8.439e-01 1.220e+04 6.394e-03 -- 4.245e+02 -- 0.112447 -0.655184 -1.90757 -2.25426 -3.02159 -3.07653 -4.69823 -3.9097 -0.389155 0.400927 0.803682 0.621315 0.329157 0.280545 -1.70166 -0.327268\n",
      "  71 8.438e-01 1.705e+03 1.926e-02 -- 4.244e+02 -- 0.111092 -0.655286 -1.9076 -2.25405 -3.02073 -3.07642 -4.71408 -3.90973 -0.421995 0.397181 0.804108 0.618265 0.327936 0.282675 -1.69617 -0.327066\n",
      "  73 9.456e-01 3.856e+03 3.704e-02 -- 4.244e+02 -- 0.112145 -0.655184 -1.90756 -2.25425 -3.02163 -3.07653 -4.69678 -3.90969 -0.386386 0.40098 0.80363 0.621306 0.329229 0.280449 -1.70102 -0.327224\n",
      "  75 9.484e-01 1.219e+04 5.405e-02 -- 4.243e+02 -- 0.110702 -0.655293 -1.9076 -2.25403 -3.0207 -3.07642 -4.71375 -3.90972 -0.422922 0.396955 0.804089 0.618033 0.327915 0.282736 -1.69523 -0.327011\n",
      "  77 1.088e+00 1.133e+04 7.281e-02 -- 4.243e+02 -- 0.111809 -0.655182 -1.90756 -2.25425 -3.02168 -3.07654 -4.69489 -3.90969 -0.382814 0.401142 0.803569 0.621375 0.329327 0.280303 -1.70068 -0.327188\n",
      "  79 1.081e+00 3.236e+04 9.055e-02 -- 4.242e+02 -- 0.110185 -0.655303 -1.9076 -2.25401 -3.02065 -3.07641 -4.71376 -3.90972 -0.424473 0.396658 0.804084 0.61773 0.327857 0.282854 -1.69434 -0.326954\n",
      "  81 1.256e+00 3.127e+04 1.020e-01 -- 4.241e+02 -- 0.1114 -0.655177 -1.90756 -2.25426 -3.02175 -3.07655 -4.69255 -3.90968 -0.378605 0.401398 0.803501 0.621505 0.329444 0.280115 -1.70061 -0.327157\n",
      "  83 1.218e+00 5.401e+04 1.109e-01 -- 4.240e+02 -- 0.1095 -0.655315 -1.9076 -2.25398 -3.02057 -3.0764 -4.71391 -3.90972 -0.426174 0.396317 0.804088 0.61737 0.32777 0.283014 -1.69355 -0.326894\n",
      "  85 1.416e+00 4.823e+04 1.019e-01 -- 4.239e+02 -- 0.11089 -0.655173 -1.90755 -2.25427 -3.02182 -3.07655 -4.68987 -3.90967 -0.374267 0.401708 0.803429 0.621658 0.329569 0.279907 -1.70078 -0.327127\n",
      "  87 1.324e+00 6.691e+04 9.205e-02 -- 4.238e+02 -- 0.108647 -0.655329 -1.9076 -2.25396 -3.02049 -3.07639 -4.71389 -3.90972 -0.427257 0.39599 0.804093 0.616994 0.327674 0.283184 -1.69292 -0.326831\n",
      "  89 1.518e+00 5.336e+04 5.901e-02 -- 4.237e+02 -- 0.110282 -0.655169 -1.90755 -2.25427 -3.02188 -3.07656 -4.68711 -3.90967 -0.370691 0.401992 0.803358 0.621766 0.329676 0.279722 -1.70104 -0.32709\n",
      "  91 1.363e+00 6.464e+04 3.320e-02 -- 4.237e+02 -- 0.107719 -0.655341 -1.9076 -2.25393 -3.02043 -3.07638 -4.71329 -3.90972 -0.426953 0.395764 0.804086 0.616671 0.327601 0.283309 -1.69252 -0.326767\n",
      "  93 1.526e+00 4.562e+04 6.692e-03 -- 4.237e+02 -- 0.109628 -0.65517 -1.90755 -2.25427 -3.02191 -3.07656 -4.6847 -3.90966 -0.368773 0.402148 0.8033 0.621751 0.329738 0.279613 -1.70118 -0.327043\n",
      "  95 1.323e+00 5.120e+04 3.216e-02 -- 4.237e+02 -- 0.106898 -0.655349 -1.9076 -2.25392 -3.0204 -3.07637 -4.71179 -3.90972 -0.425043 0.395712 0.804056 0.616471 0.327583 0.283338 -1.69238 -0.326705\n",
      "  97 1.445e+00 3.175e+04 5.704e-02 -- 4.238e+02 -- 0.109016 -0.655177 -1.90754 -2.25426 -3.0219 -3.07656 -4.68302 -3.90966 -0.368792 0.402111 0.80326 0.621574 0.329739 0.27961 -1.70101 -0.326981\n",
      "  99 1.229e+00 3.515e+04 6.982e-02 -- 4.239e+02 -- 0.106338 -0.655353 -1.9076 -2.25391 -3.02041 -3.07637 -4.70944 -3.90972 -0.4221 0.395834 0.804 0.616416 0.327632 0.283254 -1.69235 -0.326647\n",
      " 101 1.319e+00 1.840e+04 7.455e-02 -- 4.239e+02 -- 0.108527 -0.655187 -1.90754 -2.25424 -3.02185 -3.07655 -4.68208 -3.90966 -0.370206 0.401903 0.803237 0.621265 0.329691 0.279697 -1.70044 -0.326907\n",
      " 103 1.120e+00 2.184e+04 7.530e-02 -- 4.240e+02 -- 0.106072 -0.655352 -1.9076 -2.25391 -3.02046 -3.07638 -4.70665 -3.90971 -0.41905 0.396056 0.803924 0.616461 0.327731 0.283092 -1.69227 -0.326593\n",
      " 105 1.194e+00 8.302e+03 6.817e-02 -- 4.241e+02 -- 0.108199 -0.655199 -1.90755 -2.25421 -3.02179 -3.07654 -4.68162 -3.90966 -0.372137 0.401611 0.80322 0.620907 0.329627 0.279821 -1.69955 -0.326829\n",
      " 107 1.025e+00 1.258e+04 6.301e-02 -- 4.241e+02 -- 0.106023 -0.655349 -1.90759 -2.25392 -3.02053 -3.07638 -4.70391 -3.9097 -0.41658 0.396283 0.803843 0.616536 0.327848 0.282906 -1.69203 -0.326541\n",
      " 109 1.099e+00 1.871e+03 5.223e-02 -- 4.242e+02 -- 0.108019 -0.655211 -1.90755 -2.25419 -3.02173 -3.07653 -4.6813 -3.90966 -0.37389 0.401324 0.803202 0.620571 0.329573 0.279934 -1.69853 -0.326753\n",
      " 111 9.609e-01 7.026e+03 4.523e-02 -- 4.242e+02 -- 0.106089 -0.655347 -1.90759 -2.25392 -3.02058 -3.07639 -4.70155 -3.9097 -0.414971 0.396455 0.803767 0.616587 0.327956 0.28274 -1.69159 -0.326489\n",
      " 113 1.043e+00 2.556e+03 3.426e-02 -- 4.243e+02 -- 0.107944 -0.655219 -1.90755 -2.25416 -3.02169 -3.07653 -4.68086 -3.90965 -0.375095 0.401096 0.803178 0.6203 0.329543 0.280008 -1.69752 -0.326683\n",
      " 115 9.324e-01 4.787e+03 2.670e-02 -- 4.243e+02 -- 0.106189 -0.655346 -1.90759 -2.25391 -3.02063 -3.07639 -4.69965 -3.90969 -0.414229 0.396547 0.803702 0.616588 0.32804 0.282617 -1.69102 -0.326437\n",
      " 117 1.029e+00 3.041e+03 1.600e-02 -- 4.243e+02 -- 0.107925 -0.655226 -1.90755 -2.25415 -3.02167 -3.07652 -4.6802 -3.90965 -0.375607 0.400949 0.803146 0.620104 0.32954 0.280036 -1.69661 -0.326621\n",
      " 119 9.381e-01 5.862e+03 7.637e-03 -- 4.243e+02 -- 0.106265 -0.655346 -1.90758 -2.2539 -3.02065 -3.07639 -4.69822 -3.90969 -0.414257 0.396559 0.803649 0.616532 0.328095 0.282542 -1.69035 -0.326385\n",
      " 121 1.053e+00 1.792e+03 3.136e-03 -- 4.243e+02 -- 0.107922 -0.655229 -1.90754 -2.25413 -3.02167 -3.07652 -4.67926 -3.90965 -0.375397 0.400887 0.803107 0.619981 0.329563 0.280018 -1.69585 -0.326566\n",
      " 123 9.747e-01 1.055e+04 1.263e-02 -- 4.243e+02 -- 0.106279 -0.655349 -1.90758 -2.25389 -3.02065 -3.07639 -4.69719 -3.90968 -0.414927 0.396498 0.803609 0.616418 0.328121 0.282516 -1.68965 -0.326333\n",
      " 125 1.111e+00 5.278e+03 2.340e-02 -- 4.243e+02 -- 0.107901 -0.655231 -1.90754 -2.25413 -3.02169 -3.07652 -4.67804 -3.90964 -0.374485 0.400906 0.803062 0.619925 0.329608 0.279959 -1.69529 -0.326518\n",
      " 127 1.036e+00 1.896e+04 3.343e-02 -- 4.242e+02 -- 0.106203 -0.655354 -1.90758 -2.25388 -3.02064 -3.07639 -4.69648 -3.90968 -0.416081 0.396375 0.80358 0.616251 0.328119 0.282535 -1.68894 -0.32628\n",
      " 129 1.195e+00 1.424e+04 4.252e-02 -- 4.242e+02 -- 0.107834 -0.655231 -1.90754 -2.25412 -3.02172 -3.07652 -4.67654 -3.90964 -0.372961 0.400999 0.803011 0.619921 0.32967 0.279866 -1.6949 -0.326475\n",
      " 131 1.114e+00 3.012e+04 5.112e-02 -- 4.241e+02 -- 0.106017 -0.655361 -1.90758 -2.25386 -3.02061 -3.07638 -4.69598 -3.90968 -0.417517 0.396205 0.80356 0.616037 0.328093 0.28259 -1.68827 -0.326225\n",
      " 133 1.291e+00 2.480e+04 5.501e-02 -- 4.241e+02 -- 0.107702 -0.655229 -1.90754 -2.25412 -3.02175 -3.07653 -4.67479 -3.90964 -0.371025 0.401147 0.802956 0.619954 0.329744 0.279748 -1.69469 -0.326435\n",
      " 135 1.192e+00 4.132e+04 5.866e-02 -- 4.240e+02 -- 0.105716 -0.655369 -1.90758 -2.25384 -3.02057 -3.07637 -4.69557 -3.90968 -0.418932 0.396012 0.803546 0.615793 0.328051 0.282668 -1.68765 -0.326169\n",
      " 137 1.381e+00 3.378e+04 5.372e-02 -- 4.240e+02 -- 0.107499 -0.655228 -1.90753 -2.25412 -3.0218 -3.07653 -4.67287 -3.90963 -0.369006 0.401322 0.802898 0.619996 0.32982 0.279621 -1.6946 -0.326396\n",
      " 139 1.253e+00 4.876e+04 4.978e-02 -- 4.239e+02 -- 0.105319 -0.655378 -1.90758 -2.25383 -3.02052 -3.07637 -4.69506 -3.90968 -0.419968 0.395831 0.803531 0.615542 0.328005 0.282751 -1.68713 -0.326112\n",
      " 141 1.442e+00 3.792e+04 3.551e-02 -- 4.239e+02 -- 0.107235 -0.655227 -1.90753 -2.25412 -3.02183 -3.07653 -4.67093 -3.90963 -0.367349 0.401482 0.802843 0.620014 0.329885 0.279508 -1.69456 -0.326353\n",
      " 143 1.281e+00 4.985e+04 2.509e-02 -- 4.239e+02 -- 0.104881 -0.655386 -1.90758 -2.25381 -3.02048 -3.07636 -4.69427 -3.90968 -0.420306 0.3957 0.803511 0.615319 0.327969 0.282811 -1.68673 -0.326054\n",
      " 145 1.457e+00 3.617e+04 6.649e-03 -- 4.239e+02 -- 0.106937 -0.655229 -1.90753 -2.25412 -3.02185 -3.07653 -4.66916 -3.90962 -0.366454 0.401581 0.802793 0.619973 0.329929 0.279431 -1.69448 -0.326305\n",
      " 147 1.271e+00 4.504e+04 5.304e-03 -- 4.239e+02 -- 0.104484 -0.655393 -1.90758 -2.2538 -3.02046 -3.07635 -4.69308 -3.90967 -0.419842 0.395651 0.803481 0.615152 0.327958 0.282828 -1.68645 -0.325997\n",
      " 149 1.426e+00 3.019e+04 2.056e-02 -- 4.239e+02 -- 0.106651 -0.655233 -1.90753 -2.25411 -3.02185 -3.07653 -4.6677 -3.90962 -0.366499 0.401591 0.802752 0.619855 0.329943 0.279405 -1.69426 -0.32625\n",
      " 151 1.228e+00 3.710e+04 2.895e-02 -- 4.239e+02 -- 0.1042 -0.655397 -1.90758 -2.25379 -3.02046 -3.07635 -4.69149 -3.90967 -0.418762 0.395689 0.803437 0.615054 0.327979 0.28279 -1.68624 -0.325941\n",
      " 153 1.364e+00 2.275e+04 3.671e-02 -- 4.240e+02 -- 0.106417 -0.655239 -1.90753 -2.2541 -3.02182 -3.07653 -4.66661 -3.90962 -0.367337 0.40151 0.802719 0.619668 0.329931 0.279426 -1.69385 -0.326189\n",
      " 155 1.169e+00 2.891e+04 3.977e-02 -- 4.240e+02 -- 0.104061 -0.655399 -1.90758 -2.25378 -3.02048 -3.07635 -4.68964 -3.90967 -0.417432 0.395789 0.803383 0.615013 0.328027 0.282709 -1.68604 -0.325888\n",
      " 157 1.292e+00 1.595e+04 4.051e-02 -- 4.240e+02 -- 0.10626 -0.655247 -1.90753 -2.25408 -3.02179 -3.07652 -4.66581 -3.90962 -0.368619 0.40137 0.802691 0.61944 0.329904 0.279475 -1.69327 -0.326124\n",
      " 159 1.112e+00 2.222e+04 3.910e-02 -- 4.241e+02 -- 0.104051 -0.655399 -1.90758 -2.25378 -3.02051 -3.07635 -4.68771 -3.90966 -0.41623 0.395911 0.803323 0.615002 0.32809 0.282604 -1.68578 -0.325836\n",
      " 161 1.228e+00 1.084e+04 3.547e-02 -- 4.241e+02 -- 0.106183 -0.655255 -1.90753 -2.25406 -3.02176 -3.07651 -4.66515 -3.90961 -0.369965 0.40121 0.802665 0.619207 0.329875 0.279531 -1.69259 -0.326059\n",
      " 163 1.067e+00 1.774e+04 3.132e-02 -- 4.241e+02 -- 0.104126 -0.655399 -1.90757 -2.25377 -3.02054 -3.07636 -4.6859 -3.90966 -0.4154 0.396019 0.803264 0.614993 0.328155 0.2825 -1.68543 -0.325784\n",
      " 165 1.185e+00 7.799e+03 2.564e-02 -- 4.242e+02 -- 0.106169 -0.655262 -1.90753 -2.25404 -3.02173 -3.07651 -4.6645 -3.90961 -0.37108 0.401067 0.802637 0.618998 0.329856 0.279574 -1.69187 -0.325996\n",
      " 167 1.042e+00 1.568e+04 2.005e-02 -- 4.242e+02 -- 0.104234 -0.6554 -1.90757 -2.25377 -3.02057 -3.07636 -4.68431 -3.90965 -0.415037 0.39609 0.803209 0.614964 0.328211 0.282413 -1.685 -0.325733\n",
      " 169 1.166e+00 6.928e+03 1.359e-02 -- 4.242e+02 -- 0.106193 -0.655267 -1.90753 -2.25403 -3.02171 -3.0765 -4.66377 -3.90961 -0.371795 0.400963 0.802606 0.618827 0.32985 0.279594 -1.69119 -0.325938\n",
      " 171 1.038e+00 1.607e+04 7.134e-03 -- 4.242e+02 -- 0.104336 -0.655401 -1.90757 -2.25376 -3.02059 -3.07636 -4.68298 -3.90965 -0.415146 0.396113 0.803161 0.614903 0.328252 0.282352 -1.6845 -0.325682\n",
      " 173 1.173e+00 8.268e+03 6.275e-04 -- 4.242e+02 -- 0.106228 -0.655271 -1.90753 -2.25401 -3.02171 -3.0765 -4.66288 -3.90961 -0.372036 0.400909 0.80257 0.6187 0.329861 0.279586 -1.69059 -0.325883\n",
      " 175 1.055e+00 1.886e+04 6.252e-03 -- 4.242e+02 -- 0.104399 -0.655404 -1.90757 -2.25375 -3.02059 -3.07636 -4.6819 -3.90965 -0.415663 0.396089 0.80312 0.614807 0.328275 0.28232 -1.68397 -0.325631\n",
      " 177 1.202e+00 1.171e+04 1.208e-02 -- 4.242e+02 -- 0.10625 -0.655274 -1.90752 -2.25401 -3.02171 -3.0765 -4.66183 -3.9096 -0.371805 0.400905 0.80253 0.618615 0.329886 0.279551 -1.69008 -0.325833\n",
      " 179 1.088e+00 2.375e+04 1.876e-02 -- 4.242e+02 -- 0.1044 -0.655408 -1.90757 -2.25374 -3.02058 -3.07635 -4.68102 -3.90964 -0.416481 0.396024 0.803087 0.614677 0.328281 0.282317 -1.68342 -0.325578\n",
      " 181 1.247e+00 1.681e+04 2.282e-02 -- 4.242e+02 -- 0.106242 -0.655275 -1.90752 -2.254 -3.02172 -3.0765 -4.66061 -3.9096 -0.371173 0.400948 0.802486 0.618565 0.329922 0.279494 -1.68969 -0.325786\n",
      " 183 1.130e+00 2.993e+04 2.820e-02 -- 4.241e+02 -- 0.104331 -0.655413 -1.90757 -2.25373 -3.02057 -3.07635 -4.68028 -3.90964 -0.417458 0.395928 0.803059 0.614518 0.328272 0.282337 -1.68288 -0.325526\n",
      " 185 1.300e+00 2.258e+04 2.907e-02 -- 4.241e+02 -- 0.106194 -0.655276 -1.90752 -2.25399 -3.02174 -3.0765 -4.65925 -3.9096 -0.370276 0.401025 0.802439 0.618537 0.329966 0.279422 -1.6894 -0.325741\n",
      " 187 1.174e+00 3.603e+04 3.195e-02 -- 4.241e+02 -- 0.104189 -0.655419 -1.90757 -2.25371 -3.02054 -3.07634 -4.6796 -3.90964 -0.418419 0.395818 0.803034 0.614341 0.328254 0.282371 -1.68237 -0.325472\n",
      " 189 1.350e+00 2.756e+04 2.844e-02 -- 4.240e+02 -- 0.106101 -0.655277 -1.90752 -2.25399 -3.02177 -3.0765 -4.6578 -3.90959 -0.36931 0.401118 0.802391 0.618516 0.330012 0.279345 -1.68917 -0.325696\n",
      " 191 1.209e+00 4.041e+04 2.805e-02 -- 4.240e+02 -- 0.103991 -0.655425 -1.90757 -2.2537 -3.02052 -3.07634 -4.67888 -3.90964 -0.419178 0.395713 0.80301 0.614159 0.328232 0.282407 -1.68192 -0.325418\n",
      " 193 1.386e+00 3.040e+04 2.035e-02 -- 4.240e+02 -- 0.10597 -0.655278 -1.90752 -2.25399 -3.02178 -3.0765 -4.65634 -3.90959 -0.368498 0.401205 0.802344 0.618484 0.330052 0.279274 -1.68898 -0.32565\n",
      " 195 1.228e+00 4.191e+04 1.710e-02 -- 4.240e+02 -- 0.103766 -0.655431 -1.90757 -2.25369 -3.02049 -3.07633 -4.67804 -3.90964 -0.419581 0.395634 0.802983 0.613991 0.328214 0.282435 -1.68153 -0.325363\n",
      " 197 1.400e+00 3.045e+04 7.090e-03 -- 4.240e+02 -- 0.105817 -0.65528 -1.90751 -2.25398 -3.02179 -3.0765 -4.65495 -3.90959 -0.368037 0.401264 0.8023 0.618424 0.330081 0.27922 -1.68878 -0.325601\n",
      " 199 1.228e+00 4.042e+04 2.670e-03 -- 4.240e+02 -- 0.103554 -0.655436 -1.90757 -2.25367 -3.02048 -3.07633 -4.67701 -3.90964 -0.419574 0.395594 0.802951 0.613849 0.328208 0.282441 -1.6812 -0.325309\n",
      " 201 1.391e+00 2.809e+04 6.909e-03 -- 4.240e+02 -- 0.105665 -0.655283 -1.90751 -2.25397 -3.02179 -3.0765 -4.65372 -3.90958 -0.368037 0.40128 0.802261 0.618327 0.330095 0.279192 -1.68851 -0.325549\n",
      " 203 1.211e+00 3.681e+04 1.046e-02 -- 4.240e+02 -- 0.10339 -0.65544 -1.90756 -2.25367 -3.02047 -3.07633 -4.67579 -3.90963 -0.419218 0.395598 0.802913 0.613741 0.328217 0.282421 -1.68092 -0.325255\n",
      " 205 1.362e+00 2.436e+04 1.738e-02 -- 4.240e+02 -- 0.105534 -0.655288 -1.90751 -2.25396 -3.02178 -3.07649 -4.65266 -3.90958 -0.368467 0.401249 0.802225 0.618193 0.330096 0.279187 -1.68816 -0.325494\n",
      " 207 1.182e+00 3.237e+04 1.877e-02 -- 4.240e+02 -- 0.103297 -0.655443 -1.90756 -2.25366 -3.02048 -3.07633 -4.67442 -3.90963 -0.418664 0.395637 0.802869 0.613665 0.328241 0.282377 -1.68064 -0.325203\n",
      " 209 1.325e+00 2.040e+04 2.221e-02 -- 4.240e+02 -- 0.105441 -0.655293 -1.90751 -2.25395 -3.02177 -3.07649 -4.65177 -3.90958 -0.369187 0.401182 0.802193 0.618034 0.330086 0.279201 -1.68772 -0.325436\n",
      " 211 1.150e+00 2.823e+04 2.124e-02 -- 4.241e+02 -- 0.103274 -0.655445 -1.90756 -2.25365 -3.02049 -3.07632 -4.67299 -3.90963 -0.418095 0.395695 0.802822 0.613609 0.328274 0.282318 -1.68036 -0.325151\n",
      " 213 1.288e+00 1.706e+04 2.176e-02 -- 4.241e+02 -- 0.105391 -0.655299 -1.90751 -2.25394 -3.02175 -3.07649 -4.65098 -3.90958 -0.370016 0.401097 0.802163 0.617865 0.330073 0.279223 -1.68722 -0.325378\n",
      " 215 1.123e+00 2.514e+04 1.884e-02 -- 4.241e+02 -- 0.103305 -0.655447 -1.90756 -2.25365 -3.02051 -3.07632 -4.67159 -3.90962 -0.417666 0.395753 0.802774 0.61356 0.328311 0.282255 -1.68003 -0.3251\n",
      " 217 1.259e+00 1.485e+04 1.739e-02 -- 4.241e+02 -- 0.105376 -0.655304 -1.90751 -2.25392 -3.02173 -3.07648 -4.65022 -3.90958 -0.370776 0.401013 0.802132 0.617703 0.330062 0.279242 -1.68669 -0.32532\n",
      " 219 1.105e+00 2.348e+04 1.310e-02 -- 4.241e+02 -- 0.103366 -0.655448 -1.90756 -2.25364 -3.02052 -3.07632 -4.67027 -3.90962 -0.41747 0.395796 0.802727 0.613505 0.328345 0.282197 -1.67967 -0.325049\n",
      " 221 1.244e+00 1.401e+04 1.065e-02 -- 4.241e+02 -- 0.105386 -0.655309 -1.90751 -2.25391 -3.02171 -3.07648 -4.64944 -3.90957 -0.371342 0.400944 0.8021 0.617559 0.330058 0.279251 -1.68616 -0.325265\n",
      " 223 1.099e+00 2.340e+04 5.564e-03 -- 4.241e+02 -- 0.10343 -0.65545 -1.90756 -2.25363 -3.02053 -3.07632 -4.66909 -3.90962 -0.417537 0.395814 0.802684 0.613436 0.328372 0.282152 -1.67926 -0.324998\n",
      " 225 1.243e+00 1.459e+04 2.885e-03 -- 4.241e+02 -- 0.105406 -0.655313 -1.90751 -2.2539 -3.02171 -3.07647 -4.64859 -3.90957 -0.371646 0.400902 0.802065 0.617438 0.330062 0.279246 -1.68566 -0.325211\n",
      " 227 1.105e+00 2.483e+04 2.557e-03 -- 4.241e+02 -- 0.103477 -0.655453 -1.90755 -2.25362 -3.02053 -3.07632 -4.66805 -3.90961 -0.417854 0.395806 0.802645 0.613347 0.328389 0.282123 -1.67882 -0.324947\n",
      " 229 1.256e+00 1.645e+04 4.768e-03 -- 4.241e+02 -- 0.105422 -0.655316 -1.90751 -2.25389 -3.0217 -3.07647 -4.64766 -3.90957 -0.371669 0.400889 0.802028 0.617342 0.330075 0.279225 -1.68522 -0.32516\n",
      " 231 1.121e+00 2.751e+04 9.997e-03 -- 4.241e+02 -- 0.10349 -0.655456 -1.90755 -2.25361 -3.02053 -3.07632 -4.66714 -3.90961 -0.418357 0.395771 0.802609 0.613237 0.328396 0.28211 -1.67838 -0.324896\n",
      " 233 1.279e+00 1.926e+04 1.104e-02 -- 4.241e+02 -- 0.105421 -0.655318 -1.90751 -2.25388 -3.02171 -3.07647 -4.64663 -3.90957 -0.371441 0.400903 0.801989 0.617267 0.330095 0.27919 -1.68484 -0.325111\n",
      " 235 1.144e+00 3.091e+04 1.553e-02 -- 4.241e+02 -- 0.10346 -0.65546 -1.90755 -2.2536 -3.02051 -3.07631 -4.66631 -3.90961 -0.418965 0.395718 0.802578 0.613111 0.328395 0.282112 -1.67793 -0.324844\n",
      " 237 1.308e+00 2.246e+04 1.471e-02 -- 4.241e+02 -- 0.105396 -0.65532 -1.9075 -2.25387 -3.02172 -3.07647 -4.64552 -3.90956 -0.371043 0.400939 0.801948 0.617207 0.33012 0.279146 -1.68451 -0.325063\n",
      " 239 1.168e+00 3.433e+04 1.790e-02 -- 4.241e+02 -- 0.103389 -0.655465 -1.90755 -2.25359 -3.0205 -3.07631 -4.66553 -3.90961 -0.419576 0.395655 0.802548 0.612973 0.328387 0.282122 -1.6775 -0.324792\n",
      " 241 1.336e+00 2.532e+04 1.481e-02 -- 4.241e+02 -- 0.105346 -0.655322 -1.9075 -2.25387 -3.02173 -3.07647 -4.64436 -3.90956 -0.370581 0.400986 0.801906 0.617153 0.330146 0.279097 -1.68423 -0.325016\n",
      " 243 1.188e+00 3.697e+04 1.653e-02 -- 4.240e+02 -- 0.103284 -0.65547 -1.90755 -2.25358 -3.02048 -3.07631 -4.66474 -3.90961 -0.420093 0.395593 0.802519 0.612832 0.328377 0.282136 -1.6771 -0.32474\n",
      " 245 1.358e+00 2.720e+04 1.127e-02 -- 4.240e+02 -- 0.105274 -0.655324 -1.9075 -2.25386 -3.02173 -3.07647 -4.6432 -3.90956 -0.370176 0.401032 0.801865 0.617094 0.33017 0.279051 -1.68397 -0.324968\n",
      " 247 1.201e+00 3.825e+04 1.163e-02 -- 4.240e+02 -- 0.10316 -0.655475 -1.90755 -2.25357 -3.02047 -3.0763 -4.6639 -3.9096 -0.420433 0.395542 0.802489 0.612697 0.328368 0.282145 -1.67673 -0.324687\n",
      " 249 1.369e+00 2.772e+04 4.985e-03 -- 4.240e+02 -- 0.105187 -0.655326 -1.9075 -2.25385 -3.02174 -3.07647 -4.64206 -3.90955 -0.369933 0.401066 0.801825 0.617023 0.330189 0.279013 -1.68371 -0.324919\n",
      " 251 1.204e+00 3.800e+04 4.642e-03 -- 4.240e+02 -- 0.103037 -0.655479 -1.90755 -2.25356 -3.02046 -3.0763 -4.66298 -3.9096 -0.42056 0.395511 0.802457 0.612574 0.328364 0.282145 -1.67639 -0.324635\n",
      " 253 1.367e+00 2.692e+04 2.208e-03 -- 4.240e+02 -- 0.105097 -0.655329 -1.9075 -2.25385 -3.02174 -3.07646 -4.641 -3.90955 -0.369915 0.401078 0.801787 0.616934 0.330199 0.278988 -1.68342 -0.324869\n",
      " 255 1.198e+00 3.649e+04 2.379e-03 -- 4.240e+02 -- 0.102935 -0.655483 -1.90755 -2.25355 -3.02045 -3.0763 -4.66196 -3.9096 -0.420493 0.395502 0.802421 0.612468 0.328367 0.282132 -1.67608 -0.324583\n",
      " 257 1.355e+00 2.519e+04 8.313e-03 -- 4.240e+02 -- 0.105017 -0.655333 -1.9075 -2.25384 -3.02173 -3.07646 -4.64003 -3.90955 -0.370125 0.401067 0.801751 0.616826 0.330203 0.278975 -1.6831 -0.324816\n",
      " 259 1.184e+00 3.425e+04 7.673e-03 -- 4.240e+02 -- 0.102867 -0.655486 -1.90755 -2.25354 -3.02045 -3.07629 -4.66087 -3.9096 -0.420294 0.395514 0.802383 0.612379 0.328378 0.282107 -1.67578 -0.324532\n",
      " 261 1.337e+00 2.308e+04 1.201e-02 -- 4.240e+02 -- 0.104954 -0.655337 -1.9075 -2.25383 -3.02172 -3.07646 -4.63915 -3.90955 -0.370512 0.401035 0.801718 0.616703 0.3302 0.278973 -1.68273 -0.324763\n",
      " 263 1.168e+00 3.192e+04 1.022e-02 -- 4.240e+02 -- 0.102836 -0.655489 -1.90755 -2.25353 -3.02045 -3.07629 -4.65973 -3.9096 -0.420052 0.395538 0.802343 0.612303 0.328395 0.282072 -1.67548 -0.324481\n",
      " 265 1.317e+00 2.111e+04 1.292e-02 -- 4.241e+02 -- 0.104913 -0.655342 -1.9075 -2.25381 -3.02171 -3.07645 -4.63833 -3.90955 -0.370989 0.40099 0.801685 0.616573 0.330194 0.278977 -1.68232 -0.324708\n",
      " 267 1.153e+00 3.000e+04 9.954e-03 -- 4.241e+02 -- 0.102837 -0.655491 -1.90754 -2.25352 -3.02046 -3.07629 -4.65859 -3.90959 -0.419854 0.395565 0.802301 0.612233 0.328414 0.282033 -1.67517 -0.32443\n",
      " 269 1.300e+00 1.967e+04 1.134e-02 -- 4.241e+02 -- 0.104892 -0.655346 -1.9075 -2.2538 -3.0217 -3.07645 -4.63755 -3.90954 -0.371464 0.400942 0.801653 0.616443 0.330188 0.278982 -1.6819 -0.324654\n",
      " 271 1.141e+00 2.883e+04 7.453e-03 -- 4.241e+02 -- 0.102859 -0.655493 -1.90754 -2.25352 -3.02046 -3.07629 -4.6575 -3.90959 -0.419761 0.395587 0.80226 0.612163 0.328433 0.281995 -1.67484 -0.32438\n",
      " 273 1.290e+00 1.899e+04 7.993e-03 -- 4.241e+02 -- 0.104887 -0.65535 -1.90749 -2.25379 -3.02169 -3.07645 -4.63677 -3.90954 -0.371856 0.400899 0.801621 0.61632 0.330185 0.278983 -1.68147 -0.324601\n",
      " 275 1.136e+00 2.857e+04 3.456e-03 -- 4.241e+02 -- 0.102888 -0.655496 -1.90754 -2.25351 -3.02047 -3.07629 -4.65646 -3.90959 -0.419808 0.395598 0.802221 0.612086 0.328449 0.281962 -1.67448 -0.324329\n",
      " 277 1.287e+00 1.915e+04 3.678e-03 -- 4.241e+02 -- 0.10489 -0.655354 -1.90749 -2.25378 -3.02168 -3.07644 -4.63596 -3.90954 -0.372112 0.400869 0.801587 0.616209 0.330186 0.278977 -1.68105 -0.324549\n",
      " 279 1.138e+00 2.921e+04 1.107e-03 -- 4.241e+02 -- 0.102911 -0.655499 -1.90754 -2.2535 -3.02047 -3.07628 -4.6555 -3.90959 -0.419993 0.395594 0.802183 0.612 0.32846 0.281938 -1.67411 -0.324279\n",
      " 281 1.292e+00 2.009e+04 7.159e-04 -- 4.241e+02 -- 0.104892 -0.655357 -1.90749 -2.25377 -3.02167 -3.07644 -4.63511 -3.90954 -0.372211 0.400854 0.801552 0.616112 0.330192 0.278962 -1.68066 -0.324498\n",
      " 283 1.145e+00 3.061e+04 5.484e-03 -- 4.241e+02 -- 0.102917 -0.655502 -1.90754 -2.25349 -3.02046 -3.07628 -4.65461 -3.90958 -0.420293 0.395575 0.802148 0.611903 0.328466 0.281923 -1.67373 -0.324229\n",
      " 285 1.303e+00 2.160e+04 4.414e-03 -- 4.241e+02 -- 0.104887 -0.65536 -1.90749 -2.25376 -3.02167 -3.07644 -4.63421 -3.90954 -0.372166 0.400855 0.801516 0.616028 0.330201 0.27894 -1.6803 -0.324448\n",
      " 287 1.157e+00 3.247e+04 8.809e-03 -- 4.241e+02 -- 0.102901 -0.655505 -1.90754 -2.25348 -3.02046 -3.07628 -4.65378 -3.90958 -0.420664 0.395545 0.802115 0.611796 0.328466 0.281916 -1.67334 -0.324178\n",
      " 289 1.318e+00 2.338e+04 6.750e-03 -- 4.241e+02 -- 0.104869 -0.655362 -1.90749 -2.25376 -3.02167 -3.07644 -4.63327 -3.90953 -0.372009 0.400869 0.801478 0.615952 0.330214 0.278912 -1.67997 -0.3244\n",
      " 291 1.170e+00 3.441e+04 1.052e-02 -- 4.241e+02 -- 0.102861 -0.655509 -1.90754 -2.25347 -3.02045 -3.07628 -4.65299 -3.90958 -0.421049 0.395508 0.802083 0.611682 0.328462 0.281915 -1.67297 -0.324127\n",
      " 293 1.334e+00 2.506e+04 7.174e-03 -- 4.241e+02 -- 0.104837 -0.655364 -1.90749 -2.25375 -3.02168 -3.07643 -4.6323 -3.90953 -0.371803 0.40089 0.801441 0.615882 0.330228 0.278881 -1.67967 -0.324351\n",
      " 295 1.181e+00 3.602e+04 1.026e-02 -- 4.240e+02 -- 0.102801 -0.655513 -1.90754 -2.25346 -3.02043 -3.07627 -4.65219 -3.90958 -0.421397 0.39547 0.802052 0.611566 0.328457 0.281916 -1.6726 -0.324076\n",
      " 297 1.347e+00 2.628e+04 5.695e-03 -- 4.240e+02 -- 0.104792 -0.655367 -1.90749 -2.25374 -3.02168 -3.07643 -4.63133 -3.90953 -0.37161 0.400913 0.801403 0.615811 0.330241 0.27885 -1.67939 -0.324303\n",
      " 299 1.190e+00 3.698e+04 8.084e-03 -- 4.240e+02 -- 0.102728 -0.655517 -1.90754 -2.25345 -3.02042 -3.07627 -4.65139 -3.90958 -0.421657 0.395437 0.802021 0.611451 0.328451 0.281917 -1.67226 -0.324025\n",
      " 301 1.355e+00 2.683e+04 2.723e-03 -- 4.240e+02 -- 0.104738 -0.655369 -1.90749 -2.25373 -3.02168 -3.07643 -4.63037 -3.90953 -0.371488 0.400931 0.801366 0.615734 0.330251 0.278823 -1.6791 -0.324254\n",
      " 303 1.193e+00 3.715e+04 4.763e-03 -- 4.240e+02 -- 0.102653 -0.655521 -1.90754 -2.25344 -3.02041 -3.07626 -4.65054 -3.90957 -0.421811 0.395414 0.801989 0.611342 0.328448 0.281913 -1.67193 -0.323974\n",
      " 305 1.356e+00 2.668e+04 9.591e-04 -- 4.240e+02 -- 0.104681 -0.655372 -1.90749 -2.25373 -3.02168 -3.07643 -4.62944 -3.90952 -0.371477 0.40094 0.80133 0.615649 0.330258 0.278801 -1.67881 -0.324204\n",
      " 307 1.192e+00 3.660e+04 1.062e-03 -- 4.240e+02 -- 0.102586 -0.655524 -1.90753 -2.25343 -3.02041 -3.07626 -4.64965 -3.90957 -0.421857 0.395402 0.801955 0.611242 0.328448 0.281903 -1.67162 -0.323923\n",
      " 309 1.352e+00 2.595e+04 4.356e-03 -- 4.240e+02 -- 0.104627 -0.655375 -1.90748 -2.25372 -3.02167 -3.07643 -4.62856 -3.90952 -0.371584 0.400936 0.801295 0.615554 0.330261 0.278787 -1.67851 -0.324154\n",
      " 311 1.186e+00 3.557e+04 2.052e-03 -- 4.240e+02 -- 0.102535 -0.655528 -1.90753 -2.25342 -3.0204 -3.07626 -4.64873 -3.90957 -0.42182 0.395401 0.80192 0.611151 0.328452 0.281886 -1.67132 -0.323873\n",
      " 313 1.344e+00 2.491e+04 6.784e-03 -- 4.240e+02 -- 0.104581 -0.655379 -1.90748 -2.25371 -3.02167 -3.07642 -4.62773 -3.90952 -0.371792 0.40092 0.801262 0.615451 0.33026 0.278779 -1.67818 -0.324102\n",
      " 315 1.178e+00 3.435e+04 3.937e-03 -- 4.240e+02 -- 0.102503 -0.655531 -1.90753 -2.25341 -3.0204 -3.07626 -4.64777 -3.90957 -0.421744 0.395407 0.801883 0.611068 0.328459 0.281864 -1.67102 -0.323822\n",
      " 317 1.333e+00 2.384e+04 7.835e-03 -- 4.241e+02 -- 0.104546 -0.655382 -1.90748 -2.2537 -3.02166 -3.07642 -4.62694 -3.90952 -0.372063 0.400896 0.801229 0.615343 0.330256 0.278774 -1.67783 -0.32405\n",
      " 319 1.170e+00 3.326e+04 4.332e-03 -- 4.241e+02 -- 0.102489 -0.655533 -1.90753 -2.25341 -3.0204 -3.07625 -4.64682 -3.90957 -0.421675 0.395418 0.801846 0.610989 0.328467 0.281839 -1.67072 -0.323772\n",
      " 321 1.324e+00 2.298e+04 7.501e-03 -- 4.241e+02 -- 0.104523 -0.655386 -1.90748 -2.25369 -3.02165 -3.07642 -4.62618 -3.90952 -0.372353 0.400869 0.801196 0.615234 0.330252 0.278772 -1.67746 -0.323999\n",
      " 323 1.163e+00 3.251e+04 3.402e-03 -- 4.241e+02 -- 0.102489 -0.655536 -1.90753 -2.2534 -3.0204 -3.07625 -4.64588 -3.90956 -0.421652 0.395427 0.801809 0.610912 0.328476 0.281813 -1.67041 -0.323723\n",
      " 325 1.317e+00 2.251e+04 5.976e-03 -- 4.241e+02 -- 0.104509 -0.65539 -1.90748 -2.25368 -3.02164 -3.07641 -4.62542 -3.90951 -0.372611 0.400843 0.801164 0.615127 0.330249 0.278768 -1.6771 -0.323947\n",
      " 327 1.159e+00 3.225e+04 1.455e-03 -- 4.241e+02 -- 0.102495 -0.655539 -1.90753 -2.25339 -3.0204 -3.07625 -4.64497 -3.90956 -0.421696 0.395431 0.801772 0.610833 0.328484 0.28179 -1.67009 -0.323673\n",
      " 329 1.315e+00 2.251e+04 3.759e-03 -- 4.241e+02 -- 0.1045 -0.655393 -1.90748 -2.25367 -3.02163 -3.07641 -4.62466 -3.90951 -0.372805 0.400822 0.801131 0.615027 0.330248 0.278761 -1.67674 -0.323896\n",
      " 331 1.159e+00 3.251e+04 1.007e-03 -- 4.241e+02 -- 0.102501 -0.655541 -1.90753 -2.25338 -3.0204 -3.07625 -4.6441 -3.90956 -0.421818 0.395428 0.801737 0.610749 0.32849 0.281771 -1.66976 -0.323623\n",
      " 333 1.316e+00 2.296e+04 1.324e-03 -- 4.241e+02 -- 0.104493 -0.655396 -1.90748 -2.25366 -3.02163 -3.07641 -4.62388 -3.90951 -0.372917 0.400809 0.801097 0.614933 0.330248 0.278749 -1.67639 -0.323846\n",
      " 335 1.163e+00 3.322e+04 3.487e-03 -- 4.241e+02 -- 0.102499 -0.655544 -1.90753 -2.25337 -3.02039 -3.07624 -4.64326 -3.90956 -0.422006 0.395417 0.801702 0.610659 0.328492 0.281756 -1.66942 -0.323574\n",
      " 337 1.322e+00 2.376e+04 8.469e-04 -- 4.241e+02 -- 0.104483 -0.655399 -1.90748 -2.25365 -3.02162 -3.0764 -4.62308 -3.90951 -0.372946 0.400805 0.801063 0.614847 0.330252 0.278734 -1.67606 -0.323797\n",
      " 339 1.168e+00 3.423e+04 5.485e-03 -- 4.241e+02 -- 0.102486 -0.655547 -1.90753 -2.25336 -3.02039 -3.07624 -4.64247 -3.90956 -0.422237 0.395399 0.801669 0.610564 0.328492 0.281747 -1.66908 -0.323524\n",
      " 341 1.330e+00 2.475e+04 2.283e-03 -- 4.241e+02 -- 0.104467 -0.655402 -1.90748 -2.25364 -3.02162 -3.0764 -4.62225 -3.90951 -0.372907 0.400809 0.801028 0.614767 0.330257 0.278714 -1.67574 -0.323748\n",
      " 343 1.175e+00 3.533e+04 6.691e-03 -- 4.241e+02 -- 0.10246 -0.655551 -1.90752 -2.25335 -3.02038 -3.07624 -4.6417 -3.90955 -0.422488 0.395377 0.801637 0.610465 0.328489 0.28174 -1.66875 -0.323474\n",
      " 345 1.338e+00 2.574e+04 2.776e-03 -- 4.241e+02 -- 0.104443 -0.655404 -1.90748 -2.25364 -3.02162 -3.0764 -4.62141 -3.90951 -0.372833 0.400817 0.800993 0.61469 0.330263 0.278693 -1.67544 -0.323699\n",
      " 347 1.182e+00 3.631e+04 6.809e-03 -- 4.241e+02 -- 0.102422 -0.655554 -1.90752 -2.25335 -3.02037 -3.07623 -4.64094 -3.90955 -0.422723 0.395353 0.801606 0.610364 0.328485 0.281736 -1.66842 -0.323424\n",
      " 349 1.346e+00 2.653e+04 2.229e-03 -- 4.240e+02 -- 0.104411 -0.655407 -1.90747 -2.25363 -3.02162 -3.0764 -4.62057 -3.9095 -0.372755 0.400828 0.800958 0.614613 0.330268 0.278672 -1.67515 -0.323651\n",
      " 351 1.187e+00 3.698e+04 5.968e-03 -- 4.240e+02 -- 0.102376 -0.655558 -1.90752 -2.25334 -3.02036 -3.07623 -4.64017 -3.90955 -0.422919 0.395331 0.801574 0.610264 0.32848 0.281732 -1.6681 -0.323374\n",
      " 353 1.351e+00 2.699e+04 8.519e-04 -- 4.240e+02 -- 0.104374 -0.655409 -1.90747 -2.25362 -3.02161 -3.07639 -4.61973 -3.9095 -0.372705 0.400836 0.800923 0.614535 0.330273 0.278652 -1.67487 -0.323602\n",
      " 355 1.190e+00 3.726e+04 4.385e-03 -- 4.240e+02 -- 0.102327 -0.655561 -1.90752 -2.25333 -3.02035 -3.07623 -4.63939 -3.90955 -0.423061 0.395314 0.801542 0.610166 0.328476 0.281726 -1.66779 -0.323324\n",
      " 357 1.353e+00 2.708e+04 9.742e-04 -- 4.240e+02 -- 0.104335 -0.655412 -1.90747 -2.25361 -3.02161 -3.07639 -4.61891 -3.9095 -0.372705 0.400841 0.800888 0.614453 0.330275 0.278635 -1.67458 -0.323553\n",
      " 359 1.191e+00 3.715e+04 2.518e-03 -- 4.240e+02 -- 0.102281 -0.655564 -1.90752 -2.25332 -3.02035 -3.07622 -4.6386 -3.90955 -0.423146 0.395302 0.801509 0.610073 0.328474 0.281717 -1.66749 -0.323274\n",
      " 361 1.352e+00 2.684e+04 2.848e-03 -- 4.240e+02 -- 0.104296 -0.655415 -1.90747 -2.2536 -3.02161 -3.07639 -4.61812 -3.9095 -0.372767 0.400839 0.800855 0.614366 0.330276 0.278621 -1.67429 -0.323503\n",
      " 363 1.189e+00 3.672e+04 7.728e-04 -- 4.240e+02 -- 0.102241 -0.655568 -1.90752 -2.25331 -3.02034 -3.07622 -4.63778 -3.90955 -0.423181 0.395296 0.801476 0.609984 0.328473 0.281705 -1.6672 -0.323225\n",
      " 365 1.349e+00 2.638e+04 4.327e-03 -- 4.240e+02 -- 0.10426 -0.655418 -1.90747 -2.2536 -3.0216 -3.07639 -4.61735 -3.9095 -0.372885 0.400831 0.800822 0.614275 0.330274 0.278611 -1.67399 -0.323453\n",
      " 367 1.185e+00 3.614e+04 4.647e-04 -- 4.240e+02 -- 0.102211 -0.65557 -1.90752 -2.2533 -3.02034 -3.07622 -4.63696 -3.90954 -0.423187 0.395295 0.801442 0.609901 0.328474 0.28169 -1.66691 -0.323175\n",
      " 369 1.344e+00 2.584e+04 5.155e-03 -- 4.240e+02 -- 0.10423 -0.655421 -1.90747 -2.25359 -3.02159 -3.07638 -4.61661 -3.90949 -0.373044 0.400818 0.800789 0.614181 0.33027 0.278603 -1.67367 -0.323403\n",
      " 371 1.181e+00 3.557e+04 9.155e-04 -- 4.240e+02 -- 0.102191 -0.655573 -1.90752 -2.25329 -3.02033 -3.07622 -4.63612 -3.90954 -0.42319 0.395297 0.801407 0.60982 0.328476 0.281673 -1.66662 -0.323126\n",
      " 373 1.339e+00 2.538e+04 5.246e-03 -- 4.241e+02 -- 0.104207 -0.655425 -1.90747 -2.25358 -3.02158 -3.07638 -4.61588 -3.90949 -0.373222 0.400803 0.800757 0.614086 0.330266 0.278597 -1.67335 -0.323353\n",
      " 375 1.177e+00 3.514e+04 6.996e-04 -- 4.241e+02 -- 0.10218 -0.655576 -1.90752 -2.25329 -3.02033 -3.07621 -4.6353 -3.90954 -0.423208 0.395299 0.801372 0.60974 0.328479 0.281655 -1.66632 -0.323077\n",
      " 377 1.336e+00 2.510e+04 4.657e-03 -- 4.241e+02 -- 0.104188 -0.655428 -1.90747 -2.25357 -3.02158 -3.07638 -4.61517 -3.90949 -0.37339 0.400787 0.800725 0.613991 0.330262 0.278591 -1.67303 -0.323303\n",
      " 379 1.175e+00 3.496e+04 1.708e-04 -- 4.241e+02 -- 0.102173 -0.655579 -1.90752 -2.25328 -3.02033 -3.07621 -4.63449 -3.90954 -0.423257 0.395299 0.801338 0.609661 0.328481 0.281638 -1.66603 -0.323028\n",
      " 381 1.334e+00 2.506e+04 3.566e-03 -- 4.241e+02 -- 0.104174 -0.655431 -1.90747 -2.25356 -3.02157 -3.07637 -4.61446 -3.90949 -0.373529 0.400773 0.800693 0.6139 0.330259 0.278583 -1.67271 -0.323253\n",
      " 383 1.174e+00 3.505e+04 1.439e-03 -- 4.241e+02 -- 0.102167 -0.655581 -1.90752 -2.25327 -3.02032 -3.07621 -4.6337 -3.90954 -0.423345 0.395295 0.801304 0.60958 0.328481 0.281623 -1.66572 -0.322979\n",
      " 385 1.334e+00 2.528e+04 2.296e-03 -- 4.241e+02 -- 0.104161 -0.655434 -1.90747 -2.25355 -3.02156 -3.07637 -4.61374 -3.90949 -0.373628 0.400763 0.80066 0.613812 0.330257 0.278573 -1.6724 -0.323204\n",
      " 387 1.176e+00 3.541e+04 2.759e-03 -- 4.241e+02 -- 0.102158 -0.655584 -1.90751 -2.25326 -3.02032 -3.0762 -4.63294 -3.90953 -0.423468 0.395287 0.801271 0.609496 0.328481 0.28161 -1.66542 -0.32293\n",
      " 389 1.337e+00 2.570e+04 1.086e-03 -- 4.241e+02 -- 0.104146 -0.655437 -1.90747 -2.25354 -3.02156 -3.07637 -4.61301 -3.90949 -0.373679 0.400758 0.800627 0.613728 0.330255 0.278562 -1.67209 -0.323155\n",
      " 391 1.179e+00 3.596e+04 3.999e-03 -- 4.241e+02 -- 0.102145 -0.655587 -1.90751 -2.25325 -3.02031 -3.0762 -4.63219 -3.90953 -0.423623 0.395276 0.801239 0.609409 0.328478 0.2816 -1.66511 -0.322881\n",
      " 393 1.341e+00 2.626e+04 1.867e-04 -- 4.241e+02 -- 0.104129 -0.655439 -1.90746 -2.25353 -3.02155 -3.07636 -4.61227 -3.90948 -0.373694 0.400757 0.800594 0.613647 0.330255 0.278548 -1.67179 -0.323106\n",
      " 395 1.182e+00 3.660e+04 4.819e-03 -- 4.241e+02 -- 0.102124 -0.65559 -1.90751 -2.25324 -3.0203 -3.0762 -4.63147 -3.90953 -0.423794 0.395262 0.801207 0.60932 0.328475 0.281592 -1.66481 -0.322832\n",
      " 397 1.345e+00 2.685e+04 2.326e-04 -- 4.241e+02 -- 0.104109 -0.655442 -1.90746 -2.25353 -3.02155 -3.07636 -4.61153 -3.90948 -0.373684 0.400759 0.800561 0.613569 0.330256 0.278532 -1.6715 -0.323058\n",
      " 399 1.186e+00 3.720e+04 5.033e-03 -- 4.240e+02 -- 0.102097 -0.655593 -1.90751 -2.25324 -3.0203 -3.07619 -4.63075 -3.90953 -0.423959 0.395246 0.801175 0.609229 0.32847 0.281586 -1.66451 -0.322783\n",
      " 401 1.350e+00 2.736e+04 5.035e-05 -- 4.240e+02 -- 0.104084 -0.655444 -1.90746 -2.25352 -3.02155 -3.07636 -4.61078 -3.90948 -0.373668 0.400763 0.800528 0.613492 0.330256 0.278517 -1.67122 -0.323009\n",
      "********************\n",
      "0.104084 -0.655444 -1.90746 -2.25352 -3.02155 -3.07636 -4.61078 -3.90948 -0.373668 0.400763 0.800528 0.613492 0.330256 0.278517 -1.67122 -0.323009\n",
      "0.0351976 0.000839204 0.000349775 0.00402504 0.00707581 0.00275589 0.124412 0.000905571 0.189505 0.0199362 0.00701796 0.0326727 0.0352226 0.0205451 0.268968 0.0111152\n",
      "-77.2828 -5289.45 -27360.2 -1043.89 -821.646 -3179.45 28.7066 -13573.9 -24.1291 -159.085 170.979 -62.8103 -40.6872 59.9863 5.53304 592.733\n",
      "********************\n"
     ]
    }
   ],
   "source": [
    "Cx = clag.clag('cxd10r', [[t1,t2]], [[l1,l2]], [[l1e,l2e]], dt, fqL, p1, p2)\n",
    "p  = np.concatenate( ((p1+p2)*0.5-0.3,p1*0+0.1) ) # a  good starting point generally\n",
    "p, pe = clag.optimize(Cx, p)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "phi, phie = p[nfq:], pe[nfq:]\n",
    "lag, lage = phi/(2*np.pi*fqd), phie/(2*np.pi*fqd)    \n",
    "cx, cxe   = p[:nfq], pe[:nfq]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([-6.16365918,  2.21009502,  2.28771584,  1.13110535,  0.3928378 ,\n",
       "        0.21373824, -0.82743402, -0.10317688])"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAhIAAAFrCAYAAACE+GArAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n6uYplW4bpvEg7VD1qQ0
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9759b06d90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "\n",
    "xscale('log'); ylim(-10,10)\n",
    "errorbar(fqd, lag, yerr=lage, fmt='o', ms=10,color=\"black\")\n",
    "\n",
    "lag"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f9759d39910>]"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAhIAAAFrCAYAAACE+GArAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ny7PPnl127bU/lePHVws
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9759d39f90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "s, loc, scale = lognorm.fit(lag,loc=.008)\n",
    "\n",
    "xscale('log'); ylim(-10,15)\n",
    "errorbar(fqd, lag, yerr=lage, fmt='o', ms=10,color=\"black\")\n",
    "plot(np.logspace(np.log(fqd[0]),np.log(fqd[-1])),lognorm.pdf(np.logspace(np.log(fqd[0]),np.log(fqd[-1])),s,loc,scale))\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-0.10734722921479302, 2.5047796344038056)"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAhIAAAFrCAYAAACE+GArAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n8fHxju2z6ksbP53kP6b
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f97583fcc90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "loc, scale = norm.fit(lag,loc=.01)\n",
    "\n",
    "xscale('log'); ylim(-10,10)\n",
    "errorbar(fqd, lag, yerr=lage, fmt='o', ms=10,color=\"black\")\n",
    "plot(np.logspace(np.log(fqd[3]),np.log(fqd[-1])),norm.pdf(np.logspace(np.log(fqd[0]),np.log(fqd[-1])),loc,scale))\n",
    "\n",
    "norm.fit(lag,loc=.01,scale=.1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f9759af8890>]"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAhEAAAFkCAYAAACemWn9AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nOZg1Cz74IO1KJEnV9Pz
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9759ce0590>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot(irfft(lag))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}