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  "name": "",
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  {
   "cells": [
    {
     "cell_type": "heading",
     "level": 1,
     "metadata": {},
     "source": [
      "Band Diagram and Denisty of States of Manganese oxide"
     ]
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "with Plotly's Python API library and PyMatgen"
     ]
    },
    {
     "cell_type": "heading",
     "level": 6,
     "metadata": {},
     "source": [
      "Germain Salvato-Vallverdu (germain.vallverdu@univ-pau.fr)"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "This notebook will go over an example for plotting the density of states computed with [VASP](http://www.vasp.at) and the band diagram of manganes oxide (MnO) using python with [pymatgen](http://pymatgen.org/) and [plotly](https://plot.ly/) packages.\n",
      "\n",
      "* [pymatgen](http://pymatgen.org/) : (Python Materials Genomics) A robust, open-source Python library for materials analysis.\n",
      "* [plotly](https://plot.ly/) : A platform for publishing beautiful, interactive graphs from Python to the web.\n",
      "\n",
      "[MnO is a rocksalt structure](https://materialsproject.org/materials/mp-714882/) and an open shell system with Mn(+II) atoms. Here we guess that oxygen atoms impose a strong-field which leads to five unpaired electrons in 3d atomic orbitals of the manganese."
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Firstly, we import numpy and pymatgen tools"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import numpy as np\n",
      "from pymatgen.io.vaspio.vasp_output import Vasprun\n",
      "from pymatgen.electronic_structure.core import Spin"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 1
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Next, we import plotly tools"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import plotly.plotly as pltly      # plotting functions\n",
      "import plotly.tools as tls         # plotly tools\n",
      "from plotly.graph_objs import Line, Layout, Scatter, Annotation, Annotations, XAxis, YAxis, Legend, Marker"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 2
    },
    {
     "cell_type": "heading",
     "level": 3,
     "metadata": {},
     "source": [
      "VASP output files needed"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "dosxml = \"/home/.../DOS/vasprun.xml\"\n",
      "bxml = \"/home/.../Bands/vasprun.xml\"\n",
      "kpoints = \"/home/.../Bands/KPOINTS\""
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 3
    },
    {
     "cell_type": "heading",
     "level": 3,
     "metadata": {},
     "source": [
      "Read data into VASP output file with pymatgen"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Read the density of states and the projected density of states on 3d atomic orbitals of Mn and 2s and 2p atomic orbitals of O."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "dosrun = Vasprun(dosxml)\n",
      "Mn3d_dos = dosrun.complete_dos.get_element_spd_dos(\"Mn\")[\"D\"]\n",
      "O2s_dos = dosrun.complete_dos.get_element_spd_dos(\"O\")[\"S\"]\n",
      "O2p_dos = dosrun.complete_dos.get_element_spd_dos(\"O\")[\"P\"]"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 4
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Now, we read the eigenvalues for each kpoints and the coefficients of bands projected on atomic orbitals."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "run = Vasprun(bxml, parse_projected_eigen=True)\n",
      "bands = run.get_band_structure(kpoints, line_mode=True, efermi=dosrun.efermi)\n",
      "atom_select = {\"Mn\": [\"d\"], \"O\": [\"s\", \"p\"]}\n",
      "el_spd_bands = bands.get_projections_on_elts_and_orbitals(atom_select)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 5
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "In order to set the boundaries of the plot, we look for the lowest and the highest eigenvaleus."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "emin = 1e100\n",
      "emax = -1e100\n",
      "for spin in bands.bands:\n",
      "    for b in range(bands.nb_bands):\n",
      "        emin = min(emin, min(bands.bands[spin][b]))\n",
      "        emax = max(emax, max(bands.bands[spin][b]))\n",
      "\n",
      "emin -= bands.efermi + 1\n",
      "#emax -= bands.efermi - 1\n",
      "emax = 10\n",
      "print(emin, emax)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "-19.71525098 10\n"
       ]
      }
     ],
     "prompt_number": 6
    },
    {
     "cell_type": "heading",
     "level": 3,
     "metadata": {},
     "source": [
      "Plot the densities of states and the band diagram"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Now we start to plot the DOS and the band diagram. We will use three subplots which will contain from left to right, the DOS for $\\alpha$ electrons, the band diagram and the DOS for $\\beta$ electrons."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "dosbandfig = tls.make_subplots(rows=1, cols=3)\n",
      "bandsubplot = 2 # band diagram in the middle"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "This is the format of your plot grid:\n",
        "[ (1,1) x1,y1 ]  [ (1,2) x2,y2 ]  [ (1,3) x3,y3 ]\n",
        "\n"
       ]
      }
     ],
     "prompt_number": 7
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "The workflow is the following :\n",
      "\n",
      "* A loop is done over spin up and spin down\n",
      "* Legend is showed only for one DOS subplot\n",
      "* Bands for $\\alpha$ electrons are plotted using solid lines\n",
      "* Bands for $\\beta$ electrons are plotted using dotted lines\n",
      "* For each k-points, the color of a band is determined by mapping the contribution of O 2s, O 2p and Mn 3d atomic orbitals to a RGB code."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "for spin in [Spin.up, Spin.down]:\n",
      "    if spin == Spin.up:\n",
      "        subplot = 1\n",
      "        showlegend = True\n",
      "    else:\n",
      "        subplot = 3\n",
      "        showlegend = False\n",
      "\n",
      "    # Density of States\n",
      "    # -----------------\n",
      "\n",
      "    # total dos\n",
      "    trace_tdos_up = Scatter(\n",
      "        x=dosrun.tdos.densities[spin],\n",
      "        y=dosrun.tdos.energies - dosrun.efermi,\n",
      "        mode=\"lines\",\n",
      "        name=\"total DOS\",\n",
      "        line=Line(color=\"#444444\", width=1),\n",
      "        fill=\"tozeroy\",\n",
      "        showlegend=showlegend\n",
      "    )\n",
      "    dosbandfig.append_trace(trace_tdos_up, 1, subplot)\n",
      "\n",
      "    # O 2s contribution to the total DOS\n",
      "    trace_O2s = Scatter(\n",
      "        x=O2s_dos.densities[spin],\n",
      "        y=dosrun.tdos.energies - dosrun.efermi,\n",
      "        mode=\"lines\",\n",
      "        name=\"O 2s\",\n",
      "        line=Line(color=\"red\", width=1),\n",
      "        showlegend=showlegend\n",
      "    )\n",
      "    dosbandfig.append_trace(trace_O2s, 1, subplot)\n",
      "\n",
      "    # O 2p contribution to the total DOS\n",
      "    trace_O2p = Scatter(\n",
      "        x=O2p_dos.densities[spin],\n",
      "        y=dosrun.tdos.energies - dosrun.efermi,\n",
      "        mode=\"lines\",\n",
      "        name=\"O 2p\",\n",
      "        line=Line(color=\"#00FF00\", width=1),\n",
      "        showlegend=showlegend\n",
      "    )\n",
      "    dosbandfig.append_trace(trace_O2p, 1, subplot)\n",
      "\n",
      "    # Mn 3d contribution to the total DOS\n",
      "    trace_Mn3s = Scatter(\n",
      "        x=Mn3d_dos.densities[spin],\n",
      "        y=dosrun.tdos.energies - dosrun.efermi,\n",
      "        mode=\"lines\",\n",
      "        name=\"Mn 3d\",\n",
      "        line=Line(color=\"blue\", width=1),\n",
      "        showlegend=showlegend\n",
      "    )\n",
      "    dosbandfig.append_trace(trace_Mn3s, 1, subplot)\n",
      "\n",
      "    # Diagramme de Bandes\n",
      "    # -------------------\n",
      "    contrib = np.zeros((bands.nb_bands, len(bands.kpoints), 3))\n",
      "    for b in range(bands.nb_bands):\n",
      "        for k in range(len(bands.kpoints)):\n",
      "            tot = 0\n",
      "            for oa in el_spd_bands[spin][b][k].values():\n",
      "                tot += sum([coef**2 for coef in oa.values()])\n",
      "            \n",
      "            if tot != 0.0:\n",
      "                contrib[b, k, 0] = el_spd_bands[spin][b][k][\"O\"][\"s\"]**2 / tot\n",
      "                contrib[b, k, 1] = el_spd_bands[spin][b][k][\"O\"][\"p\"]**2 / tot\n",
      "                contrib[b, k, 2] = el_spd_bands[spin][b][k][\"Mn\"][\"d\"]**2 / tot\n",
      "\n",
      "    for b in range(bands.nb_bands):\n",
      "        eband = [e - bands.efermi for e in bands.bands[spin][b]]\n",
      "        for k in range(len(bands.kpoints) - 1):\n",
      "            red, green, blue = [\n",
      "                int(255 * (contrib[b, k, i] + contrib[b, k+1, i])/2) for i in range(3)]\n",
      "            line_trace = Scatter(\n",
      "                    x=[k, k+1],\n",
      "                    y=[eband[k], eband[k+1]],\n",
      "                    mode=\"lines\",\n",
      "                    showlegend=False\n",
      "            )\n",
      "            if spin == Spin.up:\n",
      "                line_trace[\"mode\"] = \"lines\"\n",
      "                line_trace[\"line\"] = Line(\n",
      "                    color=\"rgb({}, {}, {})\".format(red, green, blue), \n",
      "                    width=1)\n",
      "            else:\n",
      "                line_trace[\"mode\"] = \"markers\"\n",
      "                line_trace[\"marker\"] = Marker(\n",
      "                    color=\"rgb({}, {}, {})\".format(red, green, blue), \n",
      "                    symbol=\"dot\", size=0.7)\n",
      "            dosbandfig.append_trace(line_trace, 1, bandsubplot)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 8
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "At this step, the plot looks like this :"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "pltly.image.ishow(dosbandfig, width=975, height=650)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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VihQpYmwnXWyd8hwNXOQ5+hs2bNBGmmWXuYirVatWaNmyJXLmzBkuzz+G4vfl\nz96suJgHSxSjPFsiTS4FSXl2CZuhhcwkz48eAZUq2bB6tfvk+a+/gFdeiYqY8mzoI+eVxv115Dk6\nXNlcRwS6Xbt22q62efLkQdmyZbXb5Pe1jNrIETJyiTxvOZoIyyjPXnlG3dkI5dmdNL1fly/Ls9Bc\nuHChtpREPEg2DZMjqGQA8fz585okR3/pM2bMGG2QTeQ68iXP+bVr1/Dyyy9rA5Eyg/f999/XlqBY\n8aI8R8pa9Dn6K1euxKlTp7Rp2xFXhw4dUKdOHRQoUECT5/4/huHP9fWsmHvdMXPNs25klinANc+W\nSdXTQM0izxcu2LBuHVC/vvvEOXI2Ll0CMmYM/y+UZ+s9p3ojpjxD+5Ip6wUHDRqkrXkeMGAAihcv\njnfeeecpThFp+VIrX15lzfPmw4mwdk47vbhNfz+nbZs+Rc8NkNO2rZu7yJHLchJZtnr16lXIy4K3\n335bG1WOfs6zzNatV69ejFmB8t8++ugjbQr4rVu3EBQUpI1YyxnQVpntGD2TlOf/iDiao79x40bs\n3r0bXbp0ecpNtmaXBfKy3kiT5xl2/LnxK9/4CYmjF5Rn300z5dl6uTWLPAu5lSuB8uXdz3DDBjuW\nr7Bj5IhwMac8u5+x2WqMLs8dO9kxZLBBm+gYAEc2kBJxlimR8pJeLlnrLN855AuoXMJIplNGjDyL\nPG/6IzHW/dTWgIg92yTl2bN8PVk75dmTdFm3kQQoz/+tZXY0R//kyZPaH62IdUWyDlY26BBpTpYs\nmfb/+80Ajm/80sgceq1tyrPXUHu9Icqz15ErN2gmeVbujJMVUJ6dBGXh26LLc5MmNkya5JlZDWbD\nJM+3jM7Url0bxYoVexqeTJ28ceMGmjRpov03OQVEpnLLemi5wuU5Cdb95HjnW7P1U088lGc9tMx1\nL+XZXPlgNO4jQHkG8Lw5+hEHgTdv3vzpbtvbt2/HkCFDtAxo8jw9AMc3feG+jJi4JsqziZOjGBrl\nWRGgAcXNIM+1atkg3/Fbt/ac3MieM1myheDiuXgceTbgOfN2k/46bVv6/c0332gv6EuUKBEFu+xS\n2759e02YZbdtmcadNWtWbQlZhDxvPJQU6+c+W2Lm7bx5qj3Ks6fIer5eyrPnGbMFYwj4vTzHNkdf\nzieTXS1lpzmZ6585c2ZtCnf69OmfynPfaTzexpUAACAASURBVIE4sTn8D5ivX5Rn380w5dl6uTWD\nPHubGkeevU3c++35qzz/8ssv2ske0XcmFmGWKdubNm3C5MmTIRvvFCpUSDsDOuLEARl53nAwGTbM\na+X9hHm4RcqzhwF7sHrKswfhsmpDCfi9PKvQl5HnvlODcOLXz1WqsUxZyrNlUqU7UMqzbmSGFzBa\nnnPmsmHP7kAkT+4dFOU+foJF854gQYIEfnNMmSwVkiOKknsLsndSGWsrEfJ8/XoCVKoahj07g0wQ\nlblD0OT5QDJsmE95NnemYkYna9xlGaBVN06KjTfl2WpPI+N1lgDl2VlSDu4Tee4zJR5ObvGPo6oo\nzwoPi8mLUp5NniAH4Rktz3fvwmviLN2fOcuGypUeUJ6t96jqijjyyPOJE3bkyOE/m4XpAhXpZpHn\nX3YlxG/L2rtahWnLceTZtKmJMzDKc5yIeINFCVCeFRIXLs/xcXLLZwq1WKco5dk6udIbKeVZLzHj\n7zdSnuvWt2HGNM+tc34e3Zmz7+OzGvE58mz84+exCPx12rYKUJHn5TsSYsdyyrMKRyPKcuTZCOps\nkwTUCFCeFfhp8jw5AU5uralQi3WKUp6tkyu9kVKe9RIz/n4j5bnbtzb07+t9eW7e9j6G9IuPJEni\nGZ8AL0Tgz9O2ZXo+L+cIiDyv2pMMW5dw2rZzxMxzF+XZPLlgJCTgLAHKs7OkHNwn8tz7+0Q4ta26\nQi3WKUp5tk6u9EZKedZLzPj7jZLnK1eAdOmM6T83DDOGuzdblZHnSVOCsXVbABbP94+XJKp8RZ5X\n7kqGbcsoz6osvV2e8uxt4myPBNQJUJ4VGIo895qUCKd/ozwrYDRl0SdPniAkJARJkiQxZXzuDory\n7G6inq/PCHk+dAho2tyO7duMWYcq8jxoRBBSpw5C2+bxPQ/Z4BY48mxwAizSvMjzip3Jsf3nlhaJ\n2PkwuebZeVZmu5Nrns2WEcbjLgKUZwWS4fKcGKd/q6ZQi3WKcuTZOrnSGynlWS8x4+83Qp6N7jVH\nno3OgOfb55pn/YxFnn/engw7V3DkWT89Y0tw5NlY/mw9bgIrVqzAkiVLIOfNJ06cWDuHvlGjRto/\nR7/kSL05c+bg7t27SJEiBVq0aIF8+fLF3YjF7qA8KyRM5Pm7iUlxZnsVhVqsU5TybJ1c6Y2U8qyX\nmPH3e1uex4y14fwFYMgg7691jqAdIc+/rAnAoOEh2LExkfGJ8GAEHHn2IFwfqlrkecnWJNizqo0P\n9Sq8Kxx5tm5KOfJs3dxFRL5gwQKsWrUKHTt2RI4cOSAeMH36dFy6dAlyBn1AQNRZaCLOH3zwAdKl\nS4dDhw6hb9++mDdvXoz7rE6G8qyQQU2eJyTDmR2VFWqxTlHKs3VypTdSyrNeYsbf7215Nr7HAEee\nzZAFz8ZQ84v7KFokEO1a+vaLEXdSFHle/GsS7F1DeXYnV2/UxZFnb1BmG64QkBdX1atXx+DBg5E9\ne/anVdjtdjRo0ADNmjVDoUKFYq26UqVKmDVrFpImTYquXbuiSJEi2LNnD+Q7Z8aMGdG2bVvt+Emr\nXZRnhYyJPPccnxxnd1ZSqMU6RSnP1smV3kgpz3qJGX+/N+V52zagZEnj+0x5Nj4Hno6A07b1ExZ5\nXrgpKX5f11p/YZOX4MizyRMUS3gcebZu7iTy06dPo1u3btrIcfRrwoQJmvTWr1//uZ08d+4cevXq\npY1UyyXynChRInTv3l0biR49ejReeOEFfPXVV5YDRXlWSJkmz+NS4OyuCgq1WKco5dk6udIbKeVZ\nLzHj7/emPH/bIwxf1glCjhzG9pvybCx/b7ROedZPWeR5wcak2L+e8qyfnrElOPJsLH+ztR4AYzbj\ntMMeA8XBgwchkjxx4sQYn82dO1dbA92mjePZLvLSq3PnztrIddGiRZ/Kc/ny5fH2229r/37mzBkM\nGjQIkyZNMlsa4oyH8hwnouffIPLcY2wKnNtNeVbAaMqi3G3blGlhUJEIeFOezQKe8myWTHguDsqz\nfrYiz3PXJ8GhjZy2rZ+esSUoz8byZ+vPJyByK6PFekeeZVp3v3798Nprr6FWrVpPG5C6RKbfeust\n7b/duHFDm/o9f/58y6WB8qyQMk2ex6TCuT2fKNRinaIcebZOrvRGypFnvcSMv99b8pz+pTBc/jvI\n+A6Da55NkQQPBlG64n38MCEAL6YOsuQ6OA+iibVqkefZqxPhyJZ2RoXgsXY5bdtjaD1eMadtexyx\nRxuQn70aNWpoa56zZcv2tC2RY9ltu2nTpihYsGCUGOSzoUOHImXKlGjYsGGUz0SeZTOx0qVLa//9\n6NGjGDVqFEeePZpFE1Yu8tx9dGr8tfdjE0bn/pAoz+5napYaKc9myYTzcXhLnp2PyPN3Rh95TpU6\nDDdvmEPsPdF7f9tte/uuEBTIG4KgIMqznudJ5HnOmqQ4/CunbevhZoZ7OfJshiwwhucRWLhwIdas\nWaPtti2bhskRVDNmzMD58+c1SY6+2/aYMWOQMGFCTa6jXyLP8kJlwIABiBcvHvr06YOsWbNyzbO/\nPX7h8vwi/tpb3i+6Tnn23TRTnq2XW2/Ic/UaNiyYb9zRVNGzwmnb1ntO9UbMadt6iQEiz7NWJcGR\nLa197kgYjjzrfx7MUoIjz2bJhFocy5cv1855vnr1qrbhl6xZllHl6Oc8X7x4EfXq1dPEOPIl/02m\na4s8y5nPmzdv1nbbzp8/P3fbVkuNNUuLPH87Ki3O7/vQmh3QGTXlWScwC91OebZQsv4L1RvyPGKk\nDe3aUp6Nejr8beRZOFOe9T9t4fKcHLtX1dWOhPGli/Js3WxSnq2bO09ELvIsa6BFoK1+cc2zQgY1\neR6ZFud/pzwrYDRlUW4YZsq0MKhIBDwtz2fP2pE1qzE7fz4v0Rx59t0fgbqt/8WM0ckozy6kOHzN\ncwpsmF8F6dOnd6EG8xahPJs3N3FFRnmOi5B/fS7y/Nlnn2kjzla/KM8KGdTkeUQ6nN9fTqEW6xTl\nyLN1cqU3Uo486yVm/P2elOc9e2wYMMiOxQvNtZ6Y8mz8c+epCLr1v4f+3ZJSnl0ArMnzmlRYNrV0\nlI19XKjKdEUoz6ZLidMBUZ6dRuUXN1Ke/SLNcXdS5Pmb4Rlw4UCZuG/2gTsozz6QxOd0gfJsvdx6\nUp7NSsORPHfoYMPQoeaZWu5Odpy27U6avluXyPOkOW9h2az0KFCggE91lPJs3XRSnq2bO0YeOwGO\nPCs8ISLP3Ya9hIsHw7dd9/WL8uy7GaY8Wy+3npLn1m1tsNuBMaPMJ6SUZ+s9p3oj5ppnvcTCNwwb\nPaU0Fv74BCVLltRfgYlLUJ5NnJw4QqM8Wzd3jJzy7LFnIFyeM+LiwQ881oaZKqY8mykb7o2F8uxe\nnt6ozVPy7I3YXW2D07ZdJWfucmu3PETZUom0ICnP+nMl8jxvQwoM6vgqPvzQt/ZgoTzrfx7MUoLy\nbJZMMA53E+DIswJRkeeuQzPh0qH3FGqxTlHKs3VypTdSyrNeYsbf7wl5rvNVGDp9HYB8+cw36izE\nKc/GP3fujuD2XRuadruJuWNfpDy7CFfkee76VOjZIg2qVq3qYi3mLEZ5NmdenImK8uwMJd5jRQKU\nZ4WsafI8JDMu/fGuQi3WKUp5tk6u9EZKedZLzPj7PSHPhw8DefK4r2/nz8uUUjv27gUePbIjODgA\nt24F4M4dO+7dC0BwcPiO3mXLArlzA40bx9425dl9uTFrTXGNPO/aBYwdCyxaZEfq1MCFC+baEd4I\nruHy/CLafxkfdevWNSIEj7VJefYYWo9XTHn2OGI2YBAByrMCeE2eB7+CS4ffUajFOkUpz9bJld5I\nKc96iRl/v7vluVmLMEwYp7679t27IsF2/PUXcOQIkCIFkDcvUKpUAMqUsSN+fBFpIGHCAAQFAX/+\nCcyfb8emTUDKlAE4dAiIF88x3+fJ86VLQMaMxufE3RFww7CoRNu1s2PmzAAkSwZ062aHzFDOlIny\nrMnzunRoXPUhWrZs6e7H0ND6KM+G4ldqnPKshI+FTUyA8qyQHJHnLoOy4O8jpRRqsU5RyrN1cqU3\nUsqzXmLG3+9uee7YOQxDBqnJswx6LVwIfPKJHQULBqBDh2ecZMRw+3bg1Kk7+O2333D2bBskS/Yp\ncudujTx5UiJ16hdw8qQdCxYAW7cG4M03YzJ+njzXqWND48aBKOVjv4opz8+egSZN7Ni2DdizJwBN\nmwIrV85Eo0YZUK/em8iRI7XxP5AGRhAuzxlQ/f2L6N69u4GRuL9pyrP7mXqrRsqzt0j7bjv9+vXD\n22+/jVIm++NOeVZ45sLlOSv+PvK2Qi3WKUp5tk6u9EZKedZLzPj73SnPI0aGoV1b18V5wwY7evYM\nwIUL4fJbuHDU0cBChYC33gK+/hrIkcMxOxl57tYNCAmxayPWU6cGoHbtqPdy2rbxz507Ixgw+TpO\nnX+CqX1eelqto2nbV66ELyeoWDF8pkLlyuHPEq9wAuHynBEfFjqCwYMH+xQWyrN100l5tm7uIiJv\n1KgRQkJCMGPGjCidkd/TNWrUQLFixfDNN9843VGbzYYVK1ZgyZIl2uaQyZMnh7RRuHBhh3VQnp1G\na50bRZ47D3wN/xwtYZ2gFSKlPCvAM3lRyrPJE+QgPHfKc92GYZgxxTV57tVL1qDaUawY8PPPMafQ\npk1rx5o1jkeSHVGX+iZOBK5csaNTJ2DgwGd1Up6t95zqjdiRPL/6KpAqlR0VKwbAxwZW9eJxeL/I\n809rM6FU7p0YN26cW+o0SyWUZ7NkQn8clGf9zMxWQsQ2KCgIrVu3xhtvvPE0vNWrV+Pnn39GxowZ\ndcmz3W7H0qVL8d577yFFihQ4efIkOnXqhAULFiA4ODhG9ynPZnsi3BCPyHOnAdlw+VhxN9Rm/ioo\nz+bPkasRUp5dJWdcOXfJ85ZtQCkXj4Zt3VpE144uXYDevaOK89KlNowaBWzapH/n7qtXgTJlZM20\nHR06BGDgwHDOlGfjnjdvtRxdnmfPBho2DJ/y72gqv7fiMnM74fKcBQWzrsP06dPNHKru2CjPupGZ\npgDl2TSpcDkQkWcR3WvXrqFNmzZP62nfvj2KFCmCU6dOafJ87NgxzJkzBy+++CLOnTunjSrLzv9l\nZTfQOK5q1aph8uTJSJkyJY4fP44RI0ZAnp2sWbNCli6VLl2a07bjgmilzzV57p8dl/8sZqWwXY6V\n8uwyOtMXpDyrp+jhw4cYNGgQ5M1qLxk+/e86cuQIvv76a8SLtAvW3LlzkSRJEqVG3SHPJ08Cs38K\nw3c99I86y3f0Vq3sGDQoAC1aRO3KsGE2pEsXiDp1lLqoTdueO1fkPAD9+1Oe1Whao3Rkef7nH9kI\nzo716wPw/vvWiN+IKMPl+VXkSrNIG8HxpYvybN1sUp6tm7uIyEWeZR+Fjh07Yvbs2dro8OXLlyEj\nwjJte8uWLU/lWeR69OjRyJUrF8QX6tevj3nz5kX57hOZiEwHl+nb+/bt0747yc/6V199BRHz//3v\nfzhx4gRatWql1c81z9Z/lp72QOS5Q9/suHqC8uxDadW68uTJE22dh6rgWIUL5VktU/JWtkePHtq0\npuvXr0eR523btmH//v3aHwF3XqryvGuXDTlzBmq7Yeu9Nm8G3nvPjmHDgPbto444y6ix1Cm7arvj\nWrIEqFrVjs8+A77//j4SJEjg8I/xd98BN24AY8a4o1Vz1OHLG4Z90OooGldKg5ofpIkCO7I8f/Ot\nDbt327Furf6XO+bIoHeiEHmesyYbXkn6A3755RfvNOqlVijPXgLtgWYoz/qhBhh0eIDd7jhWkWcR\n27Fjx2oj0LJ516xZs5AsWTJtpHjr1q1P5XnYsGGYMmXK04pEnvv27YuXXnq2p0XEh82aNcPZs2eR\nIUMGdOvWDdmzZ9dGnYcPH45JkyY9raNdu3aoXLky5Vn/o2TeEpo898mBqyeLmjdIN0bGkWc3wjRZ\nVZRntYTIF375QxDxJjXyyLNsjiE/O3WeMwwrG2i4cu3cuROrVq2KIup66lmwyI5srzq/Fjmibhmt\nzpcvAD/+aEf16jFblBHCQYMA2SQstuvmzfBPU6WKO+rFS4AaNYGPy4dhxnQbUqZ8zllWcVdlqTtE\nnuXZki8q/nLJDA5ZY7dlSzyUKxeAM2eAV15x3HvVI8oCA/UvKTBjHsLlOQcyJZ6K5cuXO1w7aMa4\nnYmJ8uwMJXPeQ3k2Z170RBUhz3/++SdknXPv3r3RoEEDbWr1gQMHosizTL0W+Y24pKwMKmTKlMlh\nk/LdR6Z7yyi2bHR48eJF7feX/HvEJe29++67lGc9STP7veHynAtXTzreJc7s8euNj/Ksl5h17qc8\nuydXv//+O5YtWxZFaGUa5aJFixA/fnwkTJgQn3zyCSpUqPC0wTt37rjU+N69e7F+/Xp0kQXHOq82\nbRNixPBH0OsOoaHAR+WToFLFELRo8SRGq927J0SfPo/ijKZ//4QYOjQB5C17166P0KHD4zjLLFoc\nhBatE6JkMRveLmlDmzZxl4mzUgvcIMsAAowajjCAj/RXrk6dEyBRIqB3r5jPmXx+/nwgatRIjIUL\nH+Dll117AfXCCy8Y0EP3NynyPHtVLuR4caa25lk24vGVi/Js3UxSnq2bu8gCLCPPsiv2559/rm0c\ntm7dOnz33XfalO3II88y6iyjz5HLxibPEfcNGDBA22375ZdfxqhRozB+/Pindch08U8//ZTybP1H\n6VkPRJ6/7v06rp2KY4jFRzpNefaRRDroBuXZPbl1JM/ydlWWAYg4//333+jZs6e2rqdkSRd36fov\nVJVp2wsW2lC9mv5Rt7r17Ni3z44/Djku26SJDZMmxV5vv352TJwYgD17gLCw8COsZB8SOaYqrqtx\ns4eYtygQ1asE48jBIPzww/OPvoqrLit87svTtp/HX0bap0yJjzZtg3DpIvDSS47nMSZODHz3nezI\nbtA8RxM9QCLPs1a+jrwZ52Lo0KHPHekxUchOh0J5dhqV6W6kPJsuJboDihh5TpUqFcaMGYNNmzZp\ne7iUKFHCJXmWwYIbN27gVTlCAcBff/2lDQCIoMv07i+//FL793z58mmbkclyt65du1KedWfOxAVE\nntv3eh3XT1OeTZwml0LjmmeXsPl9IUfyHB2KrEmUtT2yKYbK5ao8p04bghtX9U97/uQTGy5fCcDe\nPY5lpXVrG0aPjl2cT50Csme348SJAGTPHt779evDd1M+dy5uGrLbdreewRg3ORTjRyTAuFHxUKqU\nHJX1rOyjR0DChHHXZYU7fFWes9bdjD2ji+PF5DEXxl++/AD9Bgbjt9+C8Psex2udf/pJzgEP30iM\nV/g5zzN/yY0cL05D8+bNUa5cOZ/BQnm2biopz9bNXUTkkeVZpm7L5l2yCZhsHObKyLPsCSMjzTJF\nW+qQ2T8yoi0yLpdM4x45cqS227asg5bP8+fPT3m2/qP0rAciz+2+ewM3zhT0pW49ty8cefbdNHPk\n2T25dUae5WxE+cMhX3JVLlfkWY77Ke7CyXo//GBDm7YBWLwIeP99x8IydGj4sVKxXdWq2XH3LrB2\nbdT7atQARHp//jl2IhFHVU2cAowaH4pTfyTSzv3dtw9o3Bh48UWgc2c7fvvNN6TKV+U5tiy3bRuC\nqT8EYs/OQOTK6TiP77xjR6tWAahWTeUnyHfKavK8Ig/ezb9K29RHdsH1lYvybN1MUp6tmztGHjuB\nAHvEAiOS0k1A5Lltj9y4eiq/T23Q8TwQlGfdj4hlClCe3ZMqR/IsO23nzJkTiRMnxpUrV7QpSG3b\nttWmJalceuX55k0bqn8Whg1r9Y06//sv8EYeG6pWDsDIkY5lZsMG4IMPYu/NiRNAwYJ2/P13AJIm\njXrvtGkyegbIyHRsV+Rznj8o/wiN6gXjs+rBWhFZaiUbSN29a8eUKZRnlWfLqLJnzwI9ej/Eo4dB\nWDDX8Xbtv/5qhwysPnrkGzl2B2uR5x+X58M7+ZajWLFiqFu3rjuqNUUdlGdTpMGlICjPLmFjIQsQ\noDwrJClcnvPiyI702nbrvn5Rnn03w5Rn9+TWkTzLmc5Lly7VGpBdk2vWrInSpUsrN6hHnqf/YNPW\nGI8fq3+dc4G3wvDB+wEYNtRx2dOngXXrbGjaNPa68+a1o2JFoG9fx9JTpgxQrx60s52fd0WW53kL\nQzFkeBj2bk8Q5faVK4EvvoDWlki5lS9/G3kuXBj49/Fj1K0DdO4YNa8ReWzRwq6tg/7mGytn1r2x\nizz/sCw/GlQ9gvPnz2vHyvjKRXm2biYpz9bNHSOPnQDlWeEJEXlu1Tsvti4OUh5FUgjDa0Upz15D\n7fWGKM9eR67coLPyvGUbUMrFvcnGjLVj/gI7tv6qX7ojd1COpUqb1o4DBwKQJ4/jrg8dKmIN3L7t\nnDzLXYmTheLvC8EOz6qWDTvlPOrUqYGUKeVcakAE3UqXL8pztk6LcWpwFYdpWLchDB27PsaurUHa\ned7RLznVLVWq8OcoSxYrZdKzsYo8T1ydD30b3sScOXOwePFibaaLL1yUZ+tmkfJs3dwxcsqzx54B\nbeT52wJYMP0aPohrzqLHovBexZRn77H2dkuUZ28TV2/PGXmWqdKr19jwYblA5Mihr80tW+x4930b\nDu4PRN68jkeL69azoVhRoEmT2OV6wAA7ZIQ6runUb7wBTJwIbRMwR1fkkWf5vHTZMLRvF4jyH0WN\nb926qKIs07mbNQNkermcTS3nUKdLp4+HEXf7ojzfvP8YqZLEFOPESewoVOIxKn5sR4umgQ7lWXK4\nZIkdly9zynbk51HkefqS/6FH66vaJj4ybTtiAx4jnlt3tkl5didN79ZFefYub7bmPQIceVZgLfLc\npH9+zOj1pzYV09cvyrPvZpjybL3cOiPPBYuEYvnSYLiyqqRQERsaNwpAo4bqohIvnh1Llwbg449j\n5zxyJLB3LzBrlnPy3OM7G2Q0sm/vqPJerLgdO7Y7jnvhQuDMGeDKFWD/fjkqA9pouPwKj23KuBFP\niC/K8/M4XrlqQ6Y3/sWJfcHIkD7YoTx/+inw2WfA558bkQ3ztinyPHJ9PgyrdwtHjhzRlpG1kfPf\nfOCiPFs3iZRn6+aOkcdOgPKs8ISIPLf55n/o03kTWrZsqVCTNYpSnq2RJ1eipDy7Qs3YMrHJ8z//\nAG8WCsHli/o2B4voUctWNqxbZ8fxPx0fFST3FS8Zhnk/BSBTpthHnefOlWOFZF103LyuXwfSpwdO\nngSyZo15f/SR59Vr7Bg8xIaN658fZ1ytinxLfCLRMtNVxFo2Ljt4EEiUKHwUXEap5Z8vXgRu3Qr/\n9wIFoL2UuHwZuHAByJfPhjp11Ka3R4/VH+RZZgU0bWrDO2VCcOyEDWMG2xEUFHPattyXM6cdt28H\nIDh8jzhe/xEQeR448kuMG7YJN2/exN69ezFz5kyf4EN5tm4aKc/WzR0jpzw79QxcunQJ3bt3xyef\nfIIqVZ6tx+rcubP2JjcgIHwUo2LFimgoh5ICCJfngmjy+Y8YOHCgU+1Y+SbKs5WzF3vslGfr5daR\nPMvaYjk3ecL3Idi03jVxbtLUhh07gX17AhEvliqOHgVkmnVcl6wzbtAgfMTQmatDByAoKHxqdfQr\nujzLsVdpM4Ti0X3P2dSTJ0D8/zZ+Xr06XLIlPhmtLloU2LUL2LgxnLuMZstGZbLxlfx/1cuX5Hn1\nqdMYsGkHfm1UJwYWYdik/T2MHJQQhd964lCeK1a04cUXAzB1qvpMCNW8eLL8rl27tHObhw8fjtde\ne01rSg5FKV++fJRTPeS81aLyACL8nOfx80phQIez2r/LBoVjxozBSy+95MlQvVI35dkrmD3SCOXZ\nI1hZqQkIcOQZwIEDB7TdKbNkyYI33ngjijw3btwYQ4YM0Q7qjn6JPLf+phCqfzgckydPNkE6PRsC\n5dmzfI2snfJsJH3X2o4szyNH2bBxk11bf5w9RwCqVXFtBPTwYTsKFrZh5PCAWHfP3rDJhg/ei7sN\nGfyqX9+OkBDnhUdGnQsVCh/NTZYsKpvo8iyfZs8uLzKBYsVc4+juUlevAr/+KjHZkCaN7PgdN6fn\nxeBL8uyoj6GhgLyEufPgCRq0/RcndqbGgwcPHMpz0aJ2NGkSoO3I7qvXwoULIT/XIh3t27d/Ks/y\n+7ldu3aYMmWKw66LPA+eUANj+u/QPhcB//DDD7XBAKtflGfrZpDybN3cMfLYCVCeAZw7dw5JkiTB\nypUrtaNkIo88165dG7Nnz3468hwZpybP3Yrg/cJdIX/0fP26c+cOkidP7pCFr/U9JCQE8j9f2bE0\nrvyIlCRMmNBS55UHBrouJXHxsMLn8+atx9ixW3Hur/p4552XMWum61OXI/qbNn0YmjQORJ/escuu\nrKXeuyvu0V45VkimOPfo4bw8SywFCwJ16gBt28Ytz61b25E5M9ChQ9Q26nwVglk/uDb67q78Dx5s\nw6DBwLGjgUibVn+tvi7PO3cCx48DO4/eQeaMQejaOqlDeZYp9JUq2XH2rL7nSD9xY0vIi/zcuXND\nZry1aNHiqTxfuHABo0eP1l7kO7r69euHASPrYfyw9drHIuC3bt3Sdt62+iXyLBKWNPrh8Fbv2H/x\n3717V+ubL/49e/z4sTZrQr5b+Orli3nz1Vy5s1+U50g0p0+fro0wR5bnSpUqIU2aNHj48CGyZcuG\npk2bIr0syvtv2narbkVRLE9rzJo1C/Fim+PozqwZVJf8EoyYvm5QCF5rVvoqlz/110p9lZcavv7z\nFtfD7syGYXHVEfnzajXCIBNspk5Wl3Cp9/59IE0aO06cCMDLL+uJBNi2TUasAdktPPLlaOR53jxA\n/rd4cdR7p0yzoWF9c7xgqVAxDJ/XDkTu3HbkyeN8TL4uz5KxkBAb0uS+joMbU+OVl4McyrOc6Rwa\nasegQb4tzxFPcNu2bdGqVaun8nziTrchaQAAIABJREFUxAl06tQJqVKlgjwTRYoUQf369Z9KSd++\nfdGzV2dMHD9Dq+LJkydYtmwZpk2bpg0IWP3y5e8evt43X/8e5WhWqtV/3hh/3AQoz3HIs0whS5Qo\nkfYHS9YRrVu3DpMmTYokz8VQrvg3GDlypE+sL4rtkeG07bh/oKx6B6dtWy9z7pRnOc954iQbDh0I\n0tbzPu+SqdRNW4Tgl5/jHtFt1cqO5ctlZo9rwlOihGzCBUyY8CwaR/IsMRUsaMeVK661463Mb9lq\nw/nzAdi4OQzTJsc9ai9x+Yo8t942H3bYMabks1Mpyn9sQ+3agQhLfBedet7HlUMZtFQ4mrb90kt2\nDB5sd/uGbN7Kvd52ostzBBd5aSg/AzIKLV/aZXRaLpm23Wtgc4wYuBbJkj3W/tvOnTvx9ttv4zNn\nNxvQG6SX7ue0bS+B9kAznLbtAais0hQEKM9xyHP0LMmRVOPGjcOLL76obRjWsmsJVC3bV1uPlE++\n6fnwRXn23eRSnq2XW3fJ86LFdnxWOwwHfw92agOwffvt+N+bcYuqTL3u39+OsmXjvtcRfRlJlk3D\nZDOpiMuRPMtn2bOHH4WVO7f587htuw2f1w3BXydinnUcPXpfkefYslKhyd+o/lFSfFEpuUN5Xr/e\njq5dgT17XHuOzP9ExIzQkTxHvuvixYuQDcN++OGHp/I88Ptq6NL4ODJluq39txs3bmDbtm1YsGCB\npWdQUZ6t+ASHx0x5tm7uGHnsBCjPOuW5WrVqmDFjhrZGReS5RZcSqFt1pLYLd+nSpX36eaM8+256\nKc/Wy6075FmOj/r8y1B8PzEIlSq6T042bZL1ynYcPKhWZ5EigEzZrVAhPD/Pl2egWjU7BgxQa89b\nT8GjR0DW1x/in7OJYm3SV+U5V+5Q7N4RjHuPQpG99Dnc/v01xAsOz130kedGjezImTPmmnZv5cqI\nduKS57/++ksbbY6YBSf/PGJhKdQv8xh58vz9NOTt27ejTJkyUZaiGdEflTYpzyr0jC1LeTaWP1v3\nHAHKcyzyLG9u5X85cuTQNj2QN7h79ux5umlHuDyXRIMao7UjI6w+PSqux4zyHBch635OebZe7lTl\n+epVOz762IZMmQKwdHHc63D7Dw7FX+dtmDT2v3ObYkEmZyOnSmXD0qVx1xsb+aZNw3euPnYsdnme\nMcMOOUZq7tyo8ly5zn2UficYLRrFPcprxBNQ9tOHqFsnHmrXdDyN2xfkec/tkyiUInsUvIcO2ZAv\nXyAqtTqP0+dD8Mey8COZostzSAiQIIEdu3YFaDuw+8sVXZ5PnjyJFClSaPuviJDIxmFZs2ZFHdlV\n779p2+M25cInr6ZHyZKnn2K6du0adu/ejbly2LpFL8qzRRPHkWfrJo6Rx0mA8hyLPF+5cgWyEcfl\ny5cRP3587RirZs2aaZt2yCXy3LxTKbRpMBkZMmRAy5Yt4wRu5Rsoz1bOXuyxU56tl1tVeX6rYJgm\nzsuWqAludHJyVJOsUb1+PQApUqhzzZsXGD4ckPOinzfyfO6cXTtz+fJla4w8R6YyeMQTnDwThh5d\nEiBTxqi58AV5rr9/NLpkr4ocSTNq3W7eKgzjx4QvrC/a4DB6N86EskWeHQUZeeRZNouW/61Yof4c\nWamG6PIsL+1luZhsXJogQQK88847+Oqrr56ejiAjz9//kRJFbEXxySeHo3RVpm7LkVWffvqplRA8\njZXybMm0aUFz5Nm6uWPksROgPCs8ISLPzTq9g8a1RkKOkvD146oozwoPi8mLUp5NniAH4anIc5bX\nQlGmdCAmT3JOnCdOeYL6X8ZH/LgHnTF4sOySbceUKe4RWTnadsAA4PTp58uz4HnjDWD2bODNN62X\ny8NHQ9Hs68eYPCoRcuV4lhNfkOfo2ejU1YbBAwJx4MR9VO58AmeXRE1YZHmuUMGO6tWBL75wz7Nk\nvSfDuYhFnqdffoJXj3+GOnX2RCkkL/83btyIJUuWWPLIIMqzc8+AGe+iPJsxK4zJHQQozwoUw+X5\nXfRsPxeyBkneDPvyRXn23exSnq2XW1flueS7oXglcwBm/+j8kVSz5oWiznOmFkcnly69Db2+C4RM\nuXbX9frrwJgxQNGi97SRN0fHlDVvDly+EobFi5zvl7vic1c9OQvdxazvE6PQm+HTuH1NnuXosRw5\nwml91PEQ8mdJgYEtMkfBFyHPR4/GR/HiwN27AfDxUyCVHx+R5x/DLiB4Xg907hx+1nPk6/fff4f8\njp8ib6IsdlGeLZawSOFSnq2bO0YeOwHKs8ITIvLctMP76NN5Hg4cOICZM2cq1Gb+opRn8+fI1Qgp\nz66SM66cK/Jco1Yobt2yY93quI+acqVnMr22/wAbtv/m3Ii2s23Id/5Fi4AFC54vz6NG27Bhox0/\nL40qzz/98i92H3qAEV3TOducofeVrnIHMyckQ4Z0gZaX5zcP1MX+AuFnDx84BAwYHIJ5s8Kfvdea\nrEPfmvlQ6/2oeYmQ57Fj4+PYsQBY0Pe8/vxo8pzwT9wcOB7Dhi2J0X5ISAh27dqljTx//fXXyJw5\n6gsLrweso0HKsw5YJruV8myyhDActxGgPCugjJDnScM2Yc6cOZadFuUsAsqzs6Ssdx/l2Xo50yPP\nhw8DbdqH4e9Ldhw74twZwxFEXsp5F38fDz9GKK6rSlUbPvowAI0auX+a7YsvApMmPUSFCsEOR56v\nXwdkOvq9OzH7FxpqQ3Cwe4U+LhYqn7fv8S8K5o+HT8sGwW5/iOTJneOv0qYnyu6/fxxvJskZo+oN\nh66hy49HsGfouzE+i5DnEiXiY9CgAHzwgSci8606RZ6XlBuDA0UvoXnzLShY8ILDDh47dkx70d++\nfXvLnA5Cebbus0p5tm7uGHnsBCjPCk+IyHPDlhUwddxyrF27Ft26dcPrMr/QRy/Ks48mFtCm9CVK\nlOjpBjS+21Pf6Zmz8jxshA1jxtmQ5RVg8wZ94qyH1unTduTOa8edWwFIkMD98izrmSdMCMOmTTaH\n8iyxFi0ehkEDA/FOKfe3r4eFO+5duuoxVm18hDpVbXi7aEp3VGlYHa3bP4HdDowZEb5ovsn4A8iW\nIQk6Vo66C7d8JvI8e3Ywhg6Nh+PHrZ9Hb0AXeV7w8SiEfbEf5cr9iXz5Lj23WdkIdd++fdoLmYij\nrrwRo6ttUJ5dJWd8Ocqz8TlgBJ4hQHlW4Cry3KR9GXw/Yr12HMRHH32E8uXLK9Ro7qKUZ3PnRyU6\nyrMKPWPKOiPPpcuFYv8BO+rUDsSoEfrXAv+y7gk+LuPELmEAuvew4949O0YM99wIb4oUdnz1lR2j\nRjluo+s3Nm1Ts149PReDN7N99VoIPv7yOlb8mA7p0lirT6sfbMGHiUs5xJWw7hxs/KYMimdPE+Nz\nkedOnePjyOEgbNpEeXbmeRN5/qnCCKRr+xsyZryN0qWPx1rs8ePH2gi07N4tO3vnlS3tTXpRnk2a\nGCfCojw7AYm3WJIA5VkhbSLPDZpWwbRJS3D06FHtuKrWrVsr1GjuopRnc+dHJTrKswo9Y8rGJs/z\nF9rQqHEYSpYMQM9vA1G4sGvi9W7F29i8zLnzpl7ObMPKFQHIl89zwrNo0UP06JEQR444bmPQ0FD0\nH/oEdy4njpGUJhP2Y1Iza23FHbFh2FvlH+DQurRInMi1PBrxhL57/gtszjwTJUs/Qr+ewXjn7fBZ\nDwsPnML3vx3G2haVHIYl8pwpcwLs2hmEbNmMiNx6bYo8j2zUDx+03oLbtxOhdu19TnXi4MGD2man\nCxYscOp+I26iPBtB3T1tUp7dw5G1mI8A5VkhJ9q07RYVMHX8cvzzzz+4ePEiRo8erVCjuYtSns2d\nH5XoKM8q9IwpG12et++0YfJUOw4csOHSJaBF8yBNnL1xzfnJhs5d7Ljwl/7RbT3xyTnPFSokRvLk\ngVi6NGZJmRqcOM09/H0qCVKmiCrYk9ecQ6NyWfQ0Z/i9kXfbLl7lMoZ2S4niBRMYHpdKADWmr0LZ\nXJnRsFhuh9XMmPEIP80NxprVnltioBK/GcuKPPf+ugeadNqAbdteRdu2m50Oc8uWLahSpYo2c86M\nF+XZjFlxLibKs3OceJf1CFCeFXIm8ly/cXVMn7xQm/60cuVKLHX0jU6hDTMVpTybKRvujYXy7F6e\n3qhN5LlhwzW4eq0R7t5Pi2TJ7KhUMRCvvRqIrp3VpHnn748xYPQ9LJuR2qmulC4bhkYNA1Czhlq7\ncTUm8rx3b0JUrBisnfssm4hFvz6t/ghf1g5G9crWl6/oR1U173EDKZIFoH/HVHGhMsXnOQrcw4kD\nSZ/G8tftO8jS80fcGdQEyRM6Xg5QsFAo/veWbA5n/fx5Kwkiz4Na9kKnMYsxaVIJ9Ou33Omm5cX/\nn3/+iWnTpjldxps3Up69Sdu9bVGe3cuTtZmHAOVZIRciz3XrfY4fZszRahFxnjBhAtKmTatQq3mL\nUp7NmxvVyCjPqgS9X17kediw1SjwZiMUKpQR5cq6d7r0P1dtyJA2bhmeM9eGbt/Yce60Z0edhbDI\ns5zz3KVLPKxbBxw6FJP7qPEhOPqnDZNGW3uEVnrm6JznZevvY/D3t/Hb/Izef+icaHHWw0WY+mAO\nNqVehKvXbUj74rNn6Ps/tmPjhZOYW/4rhzWdPAkUKxGGSxdCtTzzco6AyPN3HbtjxI8z8HWLWpg8\n+SfnCv5316ZNm/DFF1/gvffe01XOGzdTnr1B2TNtUJ49w5W1Gk+A8qyQA02e69fGtClzERRkx9at\nW9GgQQMUKVJEoVbzFqU8mzc3qpFRnlUJer+8MxuGeSOqlm3CcPQIsHG99+T5+vV4+N//gLlzgVLR\n9qQ6csyG96rewNWjMTejeu+nSdhUq4k3sLilDUfyHFFxmiJncG3Xq25px92VPHhgxzsf38OeTcmi\nVF160Xg0z18SVbLlc9hk9x423LkTiiGD7ZRnHUkReR7doB86bu+NPvVaoE+fFUiR4qHTNVy4cEFb\ndjZ+/Hiny3jrRsqzt0i7vx3Ks/uZskZzEKA8K+RB5Lle4+qYNHYpEiQI1Y5/SJo0Kfr27atQq3mL\nUp7NmxvVyCjPqgS9X95T8jxyxh3YbUC7+i/E2SnZXTvNSyE4eSweXs7o3pFvR41HjDzHixcP06cD\nXbsCly/HvDPb+39hyYQMyJsz6tTgWX8cRJ28+ePsl1luiE2eJcb0xU/h8nZz7qq1Z38YCr357IXK\nr//8iapLZ+J6s37PxZs8RSjGjglDzRqgPOt4CEWeZ1UZjqp/NcPclq1Rq9bvyJ79qo4aoB232aJF\nCxQtWlRXOU/fTHn2NGHP1U959hxb1mwsAcqzAn9tt+2WFTBm8BokSfIE58+fx82bNzFs2DCFWs1b\nlPJs3tyoRkZ5ViXo/fKekmc9Pfn8q1DADsz+0TvrUyPLs8RZoQLw9ttAx45Ro27R8xqyZgpGh4bW\nPh85LnmWXldsfgEtPk+JsiWerS3Wk0N33tvyYQfcP/EyHo1rgJ++jzrqPOD4Qqw5fRqby3d22OSC\nhXZMnGTD8mWPERQURHnWkRiR55XvjkeB0ErY3/Vr5M37N0qUOKOjBuDMmTOQv/EjRozQVc7TN1Oe\nPU3Yc/VTnj3HljUbS4DyrMBf5LlRuw8xrNcWvPDCQzx58gTz58/HnDlzkDq1cxvtKDTv9aKUZ68j\n91qDlGevoXZbQ56Q5/fqnkXnhmnwYUnnRCx/4cf4snY8fN027rXR7uh4dHk+dgx44w1gxQrg44+f\ntSDrgsfNuoO1M15yR7OG1eGMPN97YMPsFXfw730bOtQzx9+d0FAgONr7lAIb22J0/kYoldrxLtsf\nfxqGz2oGoGqVR5RnnU+cyPPOfNOQLH0R3O/bGYGBdlSu7GBDgDjqnTdvHnr37o233npLZwSeu53y\n7Dm2nq6Z8uxpwqzfKAKUZwXyIs+NO72HAZ334MUX72s17d69GyVLlkTNmjUVajZnUcqzOfPijqgo\nz+6g6N06PCHPenqwcrUNvfqFYNdW723sFF2eJV6Z6CObh61e/Sz6R4/tSJL3DP7ZmQlpU0Wdup17\nVz2szDcIryQy/8aOzshzRK/v3rOh26jLGPuNcS8MGrS7jayvBOHbtlFHnXfdOoG6+0bjWOmxDh+x\nI0ftKFg4FA/vxYOc88yRZz0/iYDI84mX5+BawVeQceQ3OHYsPRo3/k1fJQCOHz+Oo0ePYvHixbrL\neqoA5dlTZD1fL+XZ84zZgjEEKM8K3EWem35bHL1aHUH69He1mq5evYpDhw7hhx9+UKjZnEUpz+bM\nizuiojy7g6J363C3PDcZcBaTumZ1uhNvvPkI7VrFQ6P6nt8oLCIoR/Isn2XIAFSvDowe/Sz8kl23\nok2FrKhe7GWn+2S2G/XIs8S+bNMdrNp2DxO7e38n7pKnv8D49N8hX5LXYmAssbst4iEeNhce4hBx\nuw5hSJIE6NsriPLswkMo8nwj0WLsqBQf70/9DgsWFMC3365xoabwU0MGDx6M116LmUeXKlQsRHlW\nBGhgccqzgfDZtEcJUJ4V8Io8N+tVCN80OIVMmW4/rUk23mjXrp2ppj4pdPNpUcqzOyiasw7Ksznz\nEltU7pbnLmPPY2DLzE6BOHbchlLlHuDy6aQI8p47Pz2qSjYMi3ydOAEUKACMHQvUrx/+ybjVp7H3\n9E1Mb1HIqT6Z8Sa98ix96Dj8b2R9OT6a13BwCLYHO5mj4Was6F0QOV6KOeU/w/4Psfn1SciZ8JUY\nEdy5A7yc9QkO/R4PWbMEUJ5dyJHIs/3RKsxucQNN5vZBr17lMWrUQhdqAv744w9kzpwZLVu2dKm8\nuwtRnt1N1Hv1UZ69x5oteZcA5VmBt8hz8/750Pnzv5Ely42nNW3ZsgUPHz7ErFmzFGo3X1HKs/ly\n4q6IKM/uIum9etwpz6t338SHhVM5HXz7ro+RMAHQ/zvvTdmW4J438iyf1a0LHDwI7NsHBAYCZ6/e\nR9GuG3Fl6qcx+nX4yUnkiZ/d6f4adaMr8iyx1u95Hn1apkfGNFGnrHuqH1uOX0WpnI6nwS+5tQlj\nrszHxlwTHDY/elwoxk+y4c9D4bFy2rb+LIk8p/x7E3r3P4zBywbjyy+/wLhx85Es2WPdlcnfgtWr\nV2PJkiXa9HmjL8qz0RlwvX3Ks+vsWNLcBCjPCvkReW4xNCfaVbqF7NmvRanp559/Ru3atVG5cmWF\nFsxVlPJsrny4MxrKsztpeqcud8rzu+32Y/OIN50K/PoNO9K/dg+nDiVBlsze2SgsIrDY5FnuadYM\n2LwZkI3E5CrUeQO+qJAcrUtEHX2ecnc+3oifDcUTmmdjJEfwXZVnqavdsIsoXyI5yhRN7lReVW4K\n7joQoQO6OKwi85EP0SBVZfTM4Ph87TxvPcHYkcF4t1T4s0R51p8JkefXDu9A3R/X4/ufvkfr1tXQ\nrNk2vP66g3PcnKh+27ZtqFixIsqXL+/E3Z69hfLsWb6erJ3y7Em6rNtIApRnBfoizy1HZ0XLso9i\n/JHavn27tuO2L535THlWeFhMXpTybPIEOQjPnfKsp/cjJjzC74dCMXOCczty66k7rnvjkmcpX6IE\nULUq0L49UGnBbGTPmAhDileJq2pTfq4iz9KhiYuu4cDxB5jYLeZ0aXd1uGnvvzGxh+NNyq6H3UKG\n84Vx85UDSBaYJEaTnb95gu07gK0bn42QU571Z0bkOc+ePag1fy2GLx6O3u0/Q+vWv+Kll+7orwzA\nhQsXcOnSJYwbN86l8u4sRHl2J03v1kV59i5vtuY9ApRnBdYiz60nvIRGJQOQL9/fMWqS0Wc59uH1\n119XaMU8RSnP5smFuyOhPLubqOfrc4c8L9j+N37achGLuxR2OuBcRW5jyqikKFnUO2c7Rw7MGXk+\ndAgoVAhYsADIWOw8Pl83HX/W7ul0/8x0o6o8S1/+uRGCd5scw/GF+TzStb5zTuDb2jkc1j36zgzs\ne/IHfkgzzOHnpT9+hEL/C8KA3s/WsFOe9adJk+fdu9Hshz1o9WsrjG3eFC1bbkXGjM/2YtFb68qV\nK9G9e3e8IWfBGXhRng2Er9g05VkRIIublgDlWSE1mjxPS416bybBW29diFGTHPmQKFEi9OjRQ6EV\n8xSlPJsnF+6OhPLsbqKer88d8qw3yiHj7qP/8Ie4ddq7m1FFxOmMPMu9cmyVrJiZPh3oafsOP5Wp\nj7fSRN0MbeaTeVgc+jOWJJ6tF4PX7neHPEcEm/S93bi3yfmXJHF1csz8q/h552XcHNwQ+4J3O7w9\n56X3MSplT3yY+J0Yn2/eGobmbZ7g6O+JonxGeY6LfMzPI+S528RT+OTwJ5hTvwuaNt0aZSNTvbXu\n378fN2/exIwZM/QWdev9lGe34vRqZZRnr+JmY14kQHlWgC3y3GZmMtTJlRqFC//lsCY5L3HIkCHI\nli2bQkvmKEp5NkcePBEF5dkTVD1bp6o8t5y5C1nTJMXXH+Z2OtBSla+jVf0kqP5pVOFxugLFG52V\nZ2lm+HBg/HigyKDFuHLFjvXNqyq27v3i7pRnib5w/UOY9u1ryPNqzCnUenq38+hdFH0j9rXUe0L3\no/a/jXAy5V6HVb+c4z5KvxeMGZOibjpHedaTifB7I+R58PDryP1PbqyuPVA75zlz5lv6K/uvxI0b\nN7Bx40bIDDojL8qzkfTV2qY8q/FjafMSoDwr5Ebkue28BKiZ+WUUL37GYU1y7EPKlCnRtWtXhZbM\nUZTybI48eCIKyrMnqHq2ThV53nbmb5R81fE61edFPWTiXcxc8BiHNqTxbMdiqV2PPEs1st/RMduf\nCM1+DBfGWG/zRnfL85WbTzBm4WXkfS0Ran7geh6H/nQRrxf+F1de3YH6Af+dDRYtb63vdUHqwFTo\nmbhTjIzu+T0MVT5/gAvHksX4jPKs/8crQp4n9wtD4ieJsbvKBNSvvwNZstzUX1mkErLj9sCBA5Ej\nh+Np+UqVO1mY8uwkKBPeRnk2YVIYklsIUJ4VMIo81+tTFCUyBKFRo+0Oa5IvPzL6PHbsWO3sRCtf\nlGcrZy/22CnP1sutijxXnrICE2u+h3TJnB+BrNz8byQKio85Y4yZsi0Z0ivPUubDrr9j563jGFm7\nMOqWei1GojOFZMWFeGdN+QC4W56lk4+e2HDl1hPMW38NnT7PpLvfWb/YgmNTSyJh/EBswAZ8gA8c\n1pHqxmvYm3IDXg3MEuPzirXua2vmO7aJedQZ5Vl3SrSR5/ILF2LYpNy4kvwKTn30E+rW3YWsWZ8d\noam/VmDnzp2oVq0a3nvvPVeKu6UM5dktGA2phPJsCHY26gUClGcFyNrI86+3UPSfMqhVa99zazp8\n+DDix4+PPn36KLRmfFHKs/E58FQElGdPkfVcva7Kc80FCzCvenVdge07/BgVm/6Ni9uy6irn7ptd\nkWeJIVvP2bg46WMc25ECWY3tgi4knpDniADW7bmNXcfu4MFjG/o3cg5Ku+kHMOSrAgiO44SyH0Pm\nYNKTafgtyfoY/ZWd2stVv4Oz+1IhadKAGJ9TnnU9ItrNIs9v/vYbVnV+DZuzbcb9tzfiyy/34NVX\nr+uvLFIJWff81ltvoU6dOkr1qBSmPKvQM7Ys5dlY/mzdcwQozwpsNXk+ehLF/qiFzz57vjzfvXsX\nsnPlihUrEBAQ88uCQgheLUp59ipurzZGefYqbrc05qo899+6Fd3efltXDNnLnkal0skxpJPrU311\nNficm12V50EnF6HHtL8QNKq9dg504Wj7Zv1kn4taAZ+5I0S31uFJeZZAW408hQePwzC1c844434S\nakPb6QcxvtGb+ET+z/YJmgY2dViuzKNP0Di4PqoHxzwi7POm/6JAnmB0bOl43TzlOc5UxLhB5Dnv\n7t34tXU2LMm3BIHFdqJ27X3Ilu2a/soilTh9+jSCg4Px7bffKtWjUpjyrELP2LKUZ2P5s3XPEaA8\nK7AVeW7xYCPyzeyJpk23xVrT/PnzUa5cObRs2VKhRWOLUp6N5e/J1inPnqTrmbr1yvP1R/fxv5nD\n8Fcjfbv/H//rEQrXOY4zy/MgdYogz3TGyVpdlWep/vXbRVF98VwMbJoFI0YALVo8a7Sc/UOsCVjt\nZBTeu83T8uxsT7afuoqvf9qLHd3Lx1lkadhytHjUDpeSnIpx7+Ydj1G68l08OJ8G8Z8d7RzlPspz\nnIgdy/OuXTjUqDC+K/8dsua6hM8+24/s2a/qryxSiWvXruHkyZOYMGGCUj0qhSnPKvSMLUt5NpY/\nW/ccAcqzAluR5wbpZiJH+5no0mVdrDX9888/OHDgAObMmaPQorFFKc/G8vdk65RnT9L1TN165Pnw\n7YvYceUUGuV8V3cwzQecR+oXgtGnub4NxnQ35EQBFXn+7uEg3LX9iwzj+2LMmPCzoBctcqJRA28x\ngzz3X7cH/9y5jzHVwp+dura6+D975wEV1dHF8f/u0qRIExQLNuy9xo4ldo3Grom995pYEjXGGjUW\n7NEYTYwxalSs2LFjV2wgKCAqHRXpsPu+c99mkb77eNvIN3POO9tm7tz5z9vd93szc2eXNO/ti75J\nn4Mb6bdw1eJCDuV6johFuxZmmDzCOk9VGTwLP+Fo5Ln2zZuI7dMbQwcPRZWqEejT5z6qVBEHzykp\nKfyMuSNHjgh3SkslGDxrSUgDmGHwbADRWZV6UYDBswiZCZ7H1FwFhy+u4Kflx9Raun79Otq2bYu+\nAtcbqjWspwwMnvUktAGqYfBsANFFVqkpPL9JikWpIg64HhmAZs6VBNUaFJ6EygNu4/HuhqhS1lJQ\nWV1kFgPPT+X+aJnYATE2IXj2DFiwALhzh9aLAgMHAu0U7fC99Hu0geGCI2XXTF/w3GjsTWyYWhVN\nqttmcWHO2fMYUa8OKhf7FCRuO7ZjNEbn2b1OKSVx1cwbVSRZIzQv8fiALbuT8OZuiXxPDQbPwr85\nBM91fHwQ27cvJveZDKeGT9BSOBcWAAAgAElEQVSv5xNUrRoh3Fi2EgcPHgRd69jaZj03RBvW0ACD\nZw2FMsJsDJ6NsFOYS1pRgMGzCBnpD2Vmk9lIqB+MbVv2q7X07t07ft9EGn22tDT8hahah7NlYPAs\nVLHCk5/Bc+HpK5WnmsDz04QQ/PbCGx1K1EN759qCGzl5gz+si5hg+aicUaoFG9NCATHwTNW3TmuP\nabLJ6Cn9gveG9oGeOhXo0wfY/kcyrE0stOCl9kzoC55z83jhdS+0L10dLTLtEnFbcRuNpI3ybODc\n9O/xiHuM46Y5Ryqb9nmNKUPtMLB73qPOZJjBs/Dzh4fnGzcQ268fvu/6PT7WeIhu7QPQvr2fcGPZ\nShw4cIBf89w4e6AA0ZY1M8DgWTOdjDEXg2dj7BXmkzYUYPAsQkWC5x+bjsOrmnHYsvkAzMzS1Vo7\nf/48ihYtCg8PD7V5jS0Dg2dj6xHt+cPgWXta6suSOnj2+fgUUx5vxbEGi1DczF6wW1eexMJ92n1E\nHGwFJ1tTweV1UUAsPO+Q74QXdwYHTfZluPf6NdC6NRAXB3zxyzH06WmKTuikC/cF2zQUPG/zu4TH\nYTHY0CZrwK+6XB08kDzMsx1t5O3QAA2xWvZTljxfzwpDVDSH07vUT/1n8Cz4NOGjbde9fh0x/ftj\ndbvVeOx6D/PmnkXlyuIChpEndJ1z6tQpPnCYIRKDZ0Oorp06GTxrR0dmxfgUYPAsok/oT2VNzUkI\n6RaM72dehrPzR7XWEhIS+H2ft27digoVKqjNb0wZGDwbU29o1xcGz9rVUx/W8oPntWF78Xv4edyv\n92uBXZmw4x7srUyxdGCtAtvQdkGx8JyMZDimuuCKyQXUl9bL4h7FRNpzJQQv/E1QrWgpUIDhdrlv\nYaztZuVpT5/w7HHuCSzNTVDTzRzLHx+HZ3thwS1vcrfwlWIwAmX+WdrzLk6Oyt39sWRCSYztb6dW\nOwbPaiXKkYHfqur6dUT3749NbofxsMtu/OIhfp1yamoqPD09cfToUeFOaakEg2ctCWkAMwyeDSA6\nq1IvCjB4FiEzwfN216l4OfkeRvR8jsqVNQvO4e3tjeLFi/N3iwtTYvBcmHpLmK8MnoXpZQy5s8Oz\nT9JDXPh4C2FpMXCWOGF+yZEFdvPEw1AM+Pk2Qrd0h52VcYw6U2PEwjPZGMANRA1Ux3zJ/Fz1OX0x\nFRRc7N6X8+HgAIwaBTRpArRpA+h7tY0+4fl9aiLCEz7Cw9cbm937Z9HmvuI+Bku+xmPJkzzPqU6K\nLmiFlpgnnZslT61+z/B5Q1us/Vb9qDMVZPAs/Gur2uc5esAAbIgLQuifPbByvK9wQ9lK0Pft0qVL\n2Lfv00wN0UYFGmDwLFAwI8rO4NmIOoO5olUFGDyLkJPg+W+7mXi2zgtdaySgceMQja0RQHfo0AH9\n+2e9SNHYgAEyMng2gOh6qpLBs3ihk5KS8NNPP4HjOCxatCjDIL2mrV4o3oGpqSkGDRqE7t27i67w\n8K1j2PZyDwKaRONDWgKGF+2DkXa9UNVc/IyWIX+cBVLM8fuoVqL91KYBbcDzPdzDl4peCJEG5+na\nXuzFIAzC4sXAqVOAXA7cvQvY2AAyGWBnB9SoAZQoAURHA8+fczA3B5ycJOjShR6ByEigYUOgWbOC\nK6AveN4e5QmTD46wNjFD33LZNsHWwP0YxMBZXhwPpQ9QU1Izo8Qpn3eYsPolbu+og2J2mk37ZfCs\ngeDZshA81796FVEDB2L1FSt8lKZgUXP1y8jU1XT//n34+/vjxIkT6rLq7HMGzzqTVueGGTzrXGJW\ngYEUYPAsQniC55PSb3H/+G40NnVAhw6aB+cgWKF1REuWLEGdOnVEeKG/ogye9ae1vmti8CxOcdoP\ndcGCBahevTqio6OzwDN9zy9evIjFixeDLiamT5+OuXPnolIlYZGvs3tII89Hzh3FwvkLYQntBbra\n6nMfy04+QPCiYZBKJOKE0XJpbcAzudSO+xzVUBUbJRvz9LAyVxnPJc8z3QQBjh8HHj0CQkPBj0qX\nLQsEB3MICpIgIUGB+HgpSpYE0tI4PH0KBAZKkJLCoUwZDi1aSEFBq0uWVGDoUCkP3uqSLuHZL/UF\nlkZtQ0JaKuqZ1cb8kiN4d+6HRqNemU/Rtdcq1iJMGoaVWJmnuysUKxCIF9gh3Z5FL6v217B7XhX0\nbfvJnro2M3hWp1DOzwmeG1y9isiBAzFudmc4LVqOxRZ1hRvKVILA+fHjx9i0aZPo3yoxjjB4FqOe\nYcsyeDas/qx23SnA4FmEtgTPV+Ln4drz5aj4oh769bsvyFpQUBACAwPxyy+/wMJCexe/gpwQkJnB\nswCxCllWBs/iOowu+On7nJaWhsOHD2eB5++++w69evVCgwYN+Ero88jISIwdO5Z/TdoXJN2+fRvn\nzp3jQVybqefhv+HAOWJnr8+1aVYrtggmpVIpJCKhfo/JHuw23Y2zSWfz9CtaGo0HeIDPFeJ0oEBk\nZ87IEBAg44OSnTtvgufPJXByUuCrr9LRtKkCnTrKc/WDZi0oFArIaLhbRDovv4o/k4/glTwc9gp7\nlJK4wEpiiXLS0lAoOIwt2pe3/jT8HbZcDsCGfsJGn8sWKYd/Ug+iobxhhpezdr5AahoHj7Fugjyn\n9lKiftZ1sqGpBP+BxMPzlSs4U/0bbDtYDa2PjkN/3z6CW0a/X/fu3UNYWBgqV67M3wwcPHiwYDva\nLMDgWZtq6tcWg2f96s1q058CDJ5FaE3w/ODtfPx9fzPMbjXFjz8Kn9p0/PhxuLq68tM99XGxIKK5\nYPAsRj3jLsvgWTv9QxeeFGAn87TtoUOHYuXKlXycA0oEvUeOHMHSpUv513RxWJDk4+OD06dPY+HC\nhQUpnmuZv574YtPdW7g6ZJTWbGrTEE2Np6nv2oj821jaGIu4RejMdc7TRXepOy4pLmmzCbwt4sNN\nm6Q4cpTjR6l9H3NwdAS6dgVWLpNAdS+VQJLabGVlpZEPsXiH39P24U76A8gVHDjiUE4KORSoLauB\nYeb9UMbERSNblGm2dDaGK4ajKqrmWeYv/IXdkt3w4rwy8vx1/RVG/eyH2H2fw9xUGATTBTfdLKB+\n1nXSxnmkax81sU/w3PDyZXwbvgNBjc/DffI/6PtAeUNESAoODuZ/n8hezZqfpt8LsaHtvAyeta2o\n/uwxeNaf1qwm/SrA4FmE3gTPhy1m4aJTAyR2PI5ff91bIGt37txBaGgo/4dVtWreFykFMq7FQgye\ntSimkZli8KydDskNngcMGMBH17ejhbIAfH19sWvXLqxZs0ZUpeq2qhJqXMFxKPXr95hYszW+b9Je\naHG95NfWtG1ydjg3HJdwCS8lL/P13Z1zxzjJOAzEQJ21MTwc+HWXHBs2yREVo8CAflLUqinBN9Ol\noB0aaHvDzCkSkfhd/iduy+8hRZ4KU84MKUhBgiIJdrBHN7NOGG42SLS/PvBBEzRRq88UyRT0Rm8+\nn9fjN+j783Uc/9Yd7tWcBfvApm0Lloy/dmh0+TLmv98Gx07eCBr/E+aeKdiMlLt37yIiIgLz58/n\nR54NnRg8G7oHCl4/g+eCa8dKGrcCDJ5F9A/Bc/K5FVi2LhGofw8DB95F9erhBbL4/PlzPHz4EJ07\nd8bo0aO1MrJSIEfyKcTgWduKGo89Bs/a6Yvc4HnYsGH8xW1JWgwLgKCXZpyoRp4LWrO24Xne7cMI\nT/yAne7DCuqSzstpE57J2QZogAVYgB7oka/vP+AHvMRLeMADdlC/3ZIYIbyDg7BhrSminjnC1/UY\nzPp6wrrpYxS1NIWbwg1mUnPIFXKYwQwNJPUxwnQIiiIrXIupn8oW+20a+nazxhanJfmaovXQ8yTz\nkCRJ4vPRDZhmqw6hhLkDjkxtUyA3GDwLl42H50uXMDdmO2rUCMPxLV0w8sZI1HpbsG3mKEjYs2fP\nUK1aNTRq1Aht27aFoaa4M3gWfj4YSwkGz8bSE8wPbSvA4FmEogTPTr+uRY/zT9Bt5AXEBLtg1Kjr\nBbZIPzQ0KkXBh2g9ZBvaG8WIEoNnI+oMLbvC4Fk7guYGzzSC07VrVzSh/Y4A7N+/nw8qNmHCBFGV\nahOeb757jlZey+DT6QfUsy8nyi9dFtY2PO/HfozCKMQhTq3bt3EbUzAFpVEa3+E71MWngEzxiIc1\nrKF6JGO0p/Qt3EIa0mACE1RDNX50+LDiMG5Jb+Gj4iMcpY6QcBIkcAl4KPHFW+4tqkmqoTEaowFX\nHwGhSfD0SsGTv+ugc4l6mDHeAu1amqv1VRsZFr3bgIX2k/M11Y/rC3e0xkTJRD5f7ZV/oIpjMRwY\nmfdUeHW+MXhWp1DOzwmeG3t7Y3HKZigUUiTu7YtX9q8w7to4VI6sLNzgvyXOnj0Lc3Nzfg20k5MT\natWqhRo1avAj0mXKlCmwXSEFGTwLUcu48jJ4Nq7+YN5oTwEGzyK0JHgu6+GBuQfNUO5ZY+zvvhZb\ntvwNC4s0EVbB/1ERRJcvXx5jxozR25+UOqcZPKtTqPB+zuBZO32XGzyfP3+eX5usirY9depUzJw5\nk78QFZO0Cc/uV+dhUOlWGFuukxiXdF5W2/BMDnfhuqAzOmOyJH9QVDWOok57whOOcIQFLEBBzHyl\nvniP93CDG1zhCmuJEqSDuWCYSkxRC7XwGT7jR60DFYFIliajAiqgC7rkO5KtirYtkdpg5LQPeOif\nimLFODSqZ4J1Cxx1pveikB1YWDb/de+HcRjjFeMQJg2HBBLU27YZ5aydcPgr4WttMzeEwbPwbiV4\n/szbG9daTMOiRZ0xZsx1pA/ehR3NdqDum7qo9aYW6rytA+ePwqfRq7yJiYnhb+y/e/eOD3hI30Va\ni09LCuiRRqYdHR355Sn0nq2tLf+Y/RAa7I/Bs/DzwVhKMHg2lp5gfmhbAQbP/yr65s0bfo1Pt27d\n+Mi4qkTTl1avXo3Y2FhUqFCBj2zrQHuUAFDB84E1TXC14lUU6XMEUqkC48Zd00o/0TYRtF0EXWTP\nmDEDpUqV0ordghph8FxQ5Yy/HINn7fRRbvBMlnfs2MEDNF049unTB/369RNdobbgefGrXfjtpTde\ntt4l2iddG9AFPN/FXbRAC9DIck0YR5AklY65bVW1+fc4/HnsI+49j8eiqY74doTm20Bp2j8T/VYi\n+kI9/D0h77XvYxVjEIBAXJBewPAzf+LVhzgc7TkKViIDff2/w/PNmzf5ZR4UE6FixYoZXXbmzBk+\nVkJqaipatGiBKVOmZAQZpfwdjhzBs8mT4edXHHv2NIKdXRImzT0B35K+8C3li4clH8I2yRaWaZaY\nd2aepqdCnvkomF1KSkqeB527KvCloHeUl/q2SJEiPGjTYW1tzbehdevWcHd3h6WlZY76GDyL7iqD\nGWDwbDDpWcU6VoDBM4AHDx5g48aNKFeuHD8dSQXP9OdA6xXpT6phw4b8FjN0cUwjSCp4LufhgRcz\nJmLMgDHoNcobF47VwZo1h7XWbRRIjO72vnz5ElWqVEGXLl34PxpDJAbPhlBdP3UyeNaPztqsRRvw\nvCFiPxa8/A0P6++Cq7kyGrgxJ13AM7V3IRbiKZ7iAA4YVfPz2+d534k4TPopFM6OUkwY5IBJfbXT\nf3sUf+Br6WBsv/wYo1vlfjMhCEGooaiOt9IwLLh5HKdeBOBSj+koaSV+Pfj/MzwfPHiQj4lA0EE3\nzFXw/Pr1a3z77bdYu3YtP7q7YsUKPrgo3YijRPDc5OJFvBkyhH+dmirD2LH98dtvWYOY3i57G95u\n3jBVmGLEjREomqzdtfKafHkI/ql9KvCmgQsCZLrGady4MerWrZvRLrLH4FkTVY0zD4Nn4+wX5pV4\nBRg8A6DtGWja0cmTJ/m7oSp49vPzw5YtW7B+/Xpeadpzk0aM6O4v5edHntevR+CECdjaditqvq6J\nI19swrBhV1Cz5mvxvZPNQkhICA/6dNd54kTlGjN9JtoDUh/bh+izTXnVRTdO6PivbGWiTlO6QKHt\nYYROqVNnV1efm5mZ/d+ci3lpKBaeo+Xv0OLFELQ1a4nN5b7VVVdp1a6u4JmcdOKcMBzDsVKyUqs+\nizGWHzyr7C7+NRxet2KQkJ6ELs3tsGyEsH2VM/ungALr5KsxQ5b/+dAgpQlamDRB+L1SuBwSjNBe\nHjCRituLWuXH/zM80/87rSmePXs2/x+vgue///6bj7o+YsQIXiYCTZoRt3nzZv71kiVLMGDXLlz6\nd893b+9q2L//Myxduh/29olZTkGv2l44Wv8oBtwYgFb+rcScnoLK0rlMfUuj0NQWek5wRdcVdPOW\n3qP/IfrP3bdvX4Ztuu6isv/V/2JqP7WtsPz3Cul06jdKYvepF1KnvvNquo2gvv1i9elWAQbPmfT9\n7bff+HU6KnimtYo00vzNN99k5Jo8eTImTZrEjwKr4Dlo8mT4VPDBrfK3EN38HEaNugpX11id9dy1\na9f4KJjkhz4T/bnRtKr/4o98dh3pT5x++ClYyv9DogsaAtLC8idH5+D/y42cvM4/sfBcN6gnystc\ncdjVo9Cc4rqE55fcS3769iAMwmrJaqPQRBN4Vjm6+3Q4lu8PRGxKPA5/1wjNqwlbE31Vfhk2EhvU\nkdbLaPuDF3GoWzHr6KR/eiBqRbZG2ejPYPmuJB66b9CqVv/P8KwSctq0aaBrDRU80xRu2ne5Q4cO\nfBYavaXrFIrar4LnphcvInTwYHh51cTFi1UwefIFlC79LqNvzlU7h1M1T6FSRCV0edwFrrGuWu83\nFRRTH9JBYEjfWXqf/mNoyRuNnFPwMRcXF/5RdRQrVoyfxp090XeA2kvTvf+LSTWV/b94XUX9Tzc/\n6Nriv5r+y237r/aZNtrF4DkfeKaR6MDAQH7atirNmjULX3/9NT+1iOCZpm2HTJ2KFJMUfuq2jX0C\nli45AVtb5dYdukj0Y3T58mXeB30CNJu2rYveNA6bbNq2cfSDEC/EwHOTsJ4oLnGGZ4lfhFRp8Ly6\nhGdq3M/4GfO5+ZiGaVgmWWbw9gqBZ5Wz07c/xpZLz/B1K1eMblcRn1XUbE30bcVNWMEK1aWfpmpP\n3fQEwzu5om5Fmwwtyr39DCGK1xgvn4LNZWdrXSMGz0B2eF6+fDmaNWvGrwtWJQJpVRwFmrbd9MIF\nzI3fgbdvbTF1qjecneMRYxWDI7WPwN/ZH6U+lELXJ13hFqXZzAS6gUzwQwfBq+qggKZ0U5neJyim\ng64NKDAYgTBBcOnSpbOAsbOzc0asGKEnDJu2LVQx48nPpm0bT18wT7SrAIPnfOD5woULuHXrFubM\nmZORa/z48aBoubTeKDM8U4YfOixGUEl/7N61R7u9lIs1mlJ86dIlfg9G8kkficGzPlQ2TB0Mng2j\nu5haCwrPS+PX42jyaRy2/w0lZdpZJyumHULK6hqeyZdlWIafuZ/hDncckhwS4p7W8xYEnsmJhBQ5\nOq46jVshEWhdsxjOTO2er2/TUidigdliOEAZDDO3tCVuD6a/XYXUIh/gUWwhJlkN13p7ySCD55zw\nTGud6Zqjc2flFmCkES0hU408Ezxf31QXt9EU7Vd7IKzBZTxzfoZ483jYfrRFF+8uKPeiHA+8tNZY\nBcQEppQyB/6iz2iUmEZCabSXpqXSjDPVQbBMa5MJlAmK6aDnupq1xOBZJ18zvRhl8KwXmVklBlCA\nwXMm0bNP2w4ICOADdKjWFdGFDAXoIGimtdHZ4dkXMVg9px9Wb/pL1JYQmp4H5A+NjlM0booUruvE\n4FnXChvOPoNnw2lf0JoLAs/Lktfg54/b4Ot4CaWkJQpatcHK6QOeqXGBCMQX+AIKToHN2Iy2krYG\naXNB4VnlrNeTUOy69RQnAv2wrFtzTG7aMNd2nJafREdZlxyfHUjzhGeyFy4m+kCRKkNt6wqoYlcc\nHhLtTtXOXDGD55zwTIHEaKuosWPH8lLRLiA0lXvbtm38a4LnjTs7Isq/Cdyeu4Hz5uD8zBklwkvw\nU6FV4EvXLbSVFL1HUJz9MfN7xjIdlcGzQX56tFIpg2etyMiMGKECDJ7zgWeaHj1y5EhMmDAhI9r2\n9evXsWrVKr5UdngODnbE2r3V4HKxG+ac/TRarct+p6lUFGSE7hxTZHCa2qWrxOBZV8oa3i6DZ8P3\ngVAPhMLzjOS52Jb8O54XvYNSUheh1RlFfn3Bs6qx/bn+uMJdgavEFcVQDN3RHd0k3VAK+tk2UCw8\nq9rh+SQQAw/tR/uaLpjctBE+L1ETIenB+CKxE1IlqXhm8xL+8Ee0IgZe8rM4mO6Jl2mhKA5nuB6Y\nBrP3Ttg0owpqcTURIA1EeZTX2fnA4DknPEdERPDRtwmYac0wTeMuX748v4RMBc8/hlvgm67vEPRH\nEL9rSNeuXfntNQmYC3Ni8Fx4e4/Bc+HtO+Z5/goweM4Hnukjimq5cuVKREZGwtXVlZ/CXaKEcsQm\nOzw/eFAaFy5UhuWhfrBOscbXt5V/bPpIZ8+e5adS6XINNINnffSkYepg8GwY3cXUqik8X5PfwJL0\nFXibHgkfqwsogsIbeEff8Kzqnw3YAAoodgRHEIIQyCQy2MCG1zINaUhAAlK4FFhJrGDFWUEGGZKR\njHhJPOScHEUlRVGUUwbe+oiPiEMcTGEKe86e/ywd6XiHd4hHPL/u2AlO/CO9juQikS5Nhx3sUIor\nxZeLlEQiHOG8vRJcCbjABXLI8UbyBjGI4fO4cC4oClvet7fcW77e9HOtIS33GObOcZDK5EgukoY0\nTsFP0bXl7OCGSkjl0lCRq4g+0l7oZ9or4xSdzX2LFKRgnUS5+4SuEoPnnPBMWl+8eBHbt2/nb5TT\ncq2ZM2dmBE2kkee1Rz9D5b0L0G5XO357SwIXeiR4Llu2LD/tm4CbgLpMmTK66j6t22XwrHVJ9WaQ\nwbPepGYV6VkBBs8iBCd4Lu/hgeCpU3kr3t5uePHCCUPHXMEPnX5Au+ft0CagjYgaNC8aGxuLU6dO\noUGDBvxe0M2bN9e8sIY5GTxrKFQhzMbgufB1mibw3CO1N7wUZzFJOh4/m/1U+BqZzWNDwXN24cIQ\nhihE8aPREYjgP5ZAgjQuDSYSEx5+3+It0rl05ftIQxlJGaQiFa/xmgddSgTN5VAOZI/gWfU+bRlV\nCZXgq/BFYkoiTMxNqAKUlZTlofoe7mW4RPZrozZv2w9+4MDxnxHA1+PqgfZkps/+it2D14rX6JI8\nHA8D0/CM88NwN3e4FXVCV7uWcIZznufHXdxFY0UjBEtDUAa6BS8Gz8K/pgTPGxaPQFJsVQy/ORz1\nQ+tnGKHf9nfv3mUctGc0BRorLInBc2HpqZx+MnguvH3HPM9fAQbPIs4QgudWc+fiyooVvJXVq9vB\nxeUDvvrqDoIdgrGoyyLMOzMPlSIriahFWFGKDh4aGspHv1ywYAEfkVtbicGztpQ0PjsMno2vT9R5\nlBc831LcwiHuCNbJPdBM0gzrZWtQK1MEZXV2jflzY4FnfWkkdtp2dHo0zidewIr3SzHAfgBm28zN\ncP23gKuYc28f4swicbLFfLRxqpVns/o9XQDvnaURuXqMzpvO4Fm4xATPPy6YgbQYF2w59ROKpOU+\nu8TPz48fic4cBFV4bfotweBZv3prszYGz9pUk9kyJgUYPIvojewjzzNmfIkJE67CzS2Kt3qtwjUc\nrXUUC08uhGWapYiahBelraxatmyJIUOGCC+cRwkGz1qT0ugMMXg2ui5R6xDB88aATSjzdRkEIRiB\nXCA4CYcQ7hWcOWdMkUzGeJkywNB/JTF41qwnV4Z64E6KD1oUbYaKRSqgq03OYGAqS9uDz+DwWx+c\nbLYgV+Ne8EIfRW8EKILhYuKkmQMicjF4Fi4ewfNvq79E+OEp2Pwq7/982qGDYqO0aNFCeCUGKsHg\n2UDCa6FaBs9aEJGZMEoFGDyL6BaC58Y//IDbixbhxIka8PauhFWrjmSx+Hf9vxFpE4nJlyaLqEl4\nUdpmi6ZnjRkzBn379hVuIJcSDJ61IqNRGmHwbJTdkq9TBM+DHYYg0S0JDhJ7DMVQtJA0R1NJ08LX\nGA09ZvCcv1Ae/r9jbdgGDCvfGwvLah600uVKb4wv3RMLyg/OUUF/RT9EIRoXpBc07CVx2Rg8C9eP\n4NlzTy08mHoKOyzz/v4fO3YMs2bN4uOjFJbE4Lmw9FROPxk8F96+Y57nrwCDZxFnCMFzpTVrcHPY\nAnzzTU8sXnwcpUp9yGFxTds1KBdTDr0efgq+IqJajYt++PAB165dg4ODAzZt2qRxubwyMngWLaHR\nGmDwbLRdk6djmqx5Lnytyt9jBs9Z9YlLTsS624cQL3sHiUSBKk4lMcJN+M3SP6JPYXfUcZyrlvV/\n4hp3DQO4/giSBsMEJmgy8wJ8ftbttl0MnoV/awmeQ3c4YNuXSdhZ3x4yhSxXI48ePeJvqu/du1d4\nJQYqweDZQMJroVoGz1oQkZkwSgUYPIvoFoLnqqtWYabdEdjaJqN//09BXDKb/WDxAd91/w6Dbw3G\nZyGfiahR86J0kUlBQu7cucPfadbGFlYMnjXXv7DlZPBc2HoMYPBc+PpMqMd5rXm+8igI808eRJrV\nOyzp2g9tyouPbdHw0RB0LtEAi52UATApuXAl0E3SHduxnX996VE03GsVE9oMQfkZPAuSi89M8Gz6\nVxy+d+mAZePvwzk+7+BvV65c4bfepFlphSExeC4MvZS7jwyeC2/fMc/zV4DBs4gzhOC5xooVGIyL\n6N79MWrWfJvD2nPn5zhW8xjCioah3/1+aByi/elSBMoxMTGgiNsJCQn8tlomJiaoWLEiKlWqxO9V\nrY3E4FkbKhqnDQbPxtkv+XnF4Lnw9ZlQj1Xw7Ps8DYcuvkSaSTysLKSwdlBgRMf6KGlnK9Rknvmn\nhC/BXe4errkc4vPswz6s5dbipuSm1urQxBCDZ01UypqH4LnSkYf46u06fLtzE6pEVMnTSGpqKs6d\nO8fHQ+ncubPwyvRcgqavookAACAASURBVMGzngXXYnUMnrUoJjNlVAoweBbRHQTPdZYtw5e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qXl4fnwYTydMgWjB47GxgMbce1MLRw6VAcbNx7I1WBqaio/Xfvo0aMoUqSI8Er1VILBs56E1kE1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\nNGjQAKVKl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m3b+FI08uw36jXqrymKweO+waDbg/jolvkluoMcERGB9RTStJAlNm27kHWY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\nArH1AAAAAElFTkSuQmCC\n",
       "text": [
        "<IPython.core.display.Image at 0x7f86397c7f98>"
       ]
      }
     ],
     "prompt_number": 9
    },
    {
     "cell_type": "heading",
     "level": 3,
     "metadata": {},
     "source": [
      "Plot customization"
     ]
    },
    {
     "cell_type": "heading",
     "level": 4,
     "metadata": {},
     "source": [
      "K-points labels"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "labels = [ r\"$L$\", r\"$\\Gamma$\", r\"$X$\", r\"$U,K$\", r\"$\\Gamma$\" ]"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 10
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "A vertical line is added at each specific kpoints."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "step = len(bands.kpoints) / (len(labels) - 1)\n",
      "for i, label in enumerate(labels):\n",
      "    vline = Scatter(\n",
      "                x=[i * step, i * step],\n",
      "                y=[emin, emax],\n",
      "                mode=\"lines\",\n",
      "                line=Line(color=\"#111111\", width=1),\n",
      "                showlegend=False\n",
      "            )\n",
      "    dosbandfig.append_trace(vline, 1, bandsubplot)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 11
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "A label is added with the name of the high symmetrical k-point."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "annotations = list()\n",
      "for i, label in enumerate(labels):\n",
      "    annotations.append(\n",
      "        Annotation(\n",
      "            x=i * step, y=emin,                                                                   \n",
      "            xref=\"x2\", yref=\"y2\",\n",
      "            text=label,\n",
      "            xanchor=\"center\", yanchor=\"top\",\n",
      "            showarrow=False\n",
      "        )\n",
      "    )"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 12
    },
    {
     "cell_type": "heading",
     "level": 4,
     "metadata": {},
     "source": [
      "Add titles for each subplots as annotations"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "annotations.append(\n",
      "    Annotation(\n",
      "        x=len(bands.kpoints) / 2, y=emax,\n",
      "        xref=\"x2\", yref=\"y1\",\n",
      "        text=\"Bands Diagram\",\n",
      "        xanchor=\"center\", yanchor=\"bottom\",\n",
      "        showarrow=False\n",
      "    )\n",
      ")\n",
      "annotations.append(\n",
      "    Annotation(\n",
      "        x=2.25, y=emax,\n",
      "        xref=\"x1\", yref=\"y1\",\n",
      "        text=\"DOS up\",\n",
      "        xanchor=\"center\", yanchor=\"bottom\",\n",
      "        showarrow=False\n",
      "    )\n",
      ")\n",
      "annotations.append(\n",
      "    Annotation(\n",
      "        x=2.25, y=emax,\n",
      "        xref=\"x3\", yref=\"y1\",\n",
      "        text=\"DOS down\",\n",
      "        xanchor=\"center\", yanchor=\"bottom\",\n",
      "        showarrow=False\n",
      "    )\n",
      ")"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 13
    },
    {
     "cell_type": "heading",
     "level": 4,
     "metadata": {},
     "source": [
      "Layout configuration"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "dosbandfig[\"layout\"].update(\n",
      "    Layout(\n",
      "        title=\"Bands diagram and density of states of MnO\",\n",
      "        legend=Legend(\n",
      "            x=1., y=.45,\n",
      "            xanchor=\"right\", yanchor=\"top\",\n",
      "            bordercolor='#333', borderwidth=1\n",
      "        ),  \n",
      "        xaxis1=XAxis( \n",
      "            domain=[.0, .25],\n",
      "            ticks=\"inside\",\n",
      "            showticklabels=False,\n",
      "            range=[4.1, 0.01],\n",
      "        ),      \n",
      "        yaxis1=YAxis(\n",
      "            title=\"$E - E_f \\quad / \\quad \\\\text{eV}$\",\n",
      "            ticks=\"inside\", \n",
      "            range=[emin, emax],\n",
      "        ),  \n",
      "        xaxis2=XAxis(\n",
      "            domain=[.250, .75],\n",
      "            range=[0, len(bands.kpoints)],\n",
      "            showticklabels=False,\n",
      "            ticks=\"\", \n",
      "        ),      \n",
      "        yaxis2=YAxis(\n",
      "            range=[emin, emax],\n",
      "            ticks=\"inside\",\n",
      "            showticklabels=False\n",
      "        ),  \n",
      "        xaxis3=XAxis(\n",
      "            domain=[.752, 1.],\n",
      "            ticks=\"inside\",\n",
      "            showticklabels=False,\n",
      "            range=[.01, 4.1],\n",
      "        ),\n",
      "        yaxis3=YAxis(\n",
      "            side=\"right\",\n",
      "            title=\"$E - E_f \\quad / \\quad \\\\text{eV}$\",\n",
      "            ticks=\"inside\",\n",
      "            range=[emin, emax]\n",
      "        ),\n",
      "        annotations=Annotations(annotations)\n",
      "    )\n",
      ")"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 14
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Now, general options are added to axes :"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "axisdefault = {\"showgrid\": True,                                                                  \n",
      "               \"showline\": True,\n",
      "               \"mirror\": \"allticks\",\n",
      "               \"linewidth\": 1,\n",
      "               \"tickwidth\": 1}\n",
      "for obj in [\"yaxis1\", \"yaxis2\", \"yaxis3\", \"xaxis1\", \"xaxis2\", \"xaxis3\"]:\n",
      "    dosbandfig[\"layout\"][obj].update(axisdefault)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 15
    },
    {
     "cell_type": "heading",
     "level": 3,
     "metadata": {},
     "source": [
      "Final plot"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "#pltly.image.ishow(dosbandfig, width=975, height=650)\n",
      "plot_url = pltly.plot(dosbandfig, filename=\"MnO_DOS_bands\", auto_open=False)\n",
      "tls.embed(plot_url)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "html": [
        "<iframe id=\"igraph\" scrolling=\"no\" style=\"border:none;\"seamless=\"seamless\" src=\"https://plot.ly/~gvallverdu/426.embed\" height=\"525\" width=\"100%\"></iframe>"
       ],
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 16,
       "text": [
        "<plotly.tools.PlotlyDisplay at 0x7f86289fb160>"
       ]
      }
     ],
     "prompt_number": 16
    }
   ],
   "metadata": {}
  }
 ]
}