{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# EGS master catalogue\n", "## Preparation of Legacy Survey data\n", "\n", "The catalogue comes from `dmu0_LegacySurvey`.\n", "\n", "In the catalogue, we keep:\n", "\n", "- The identifier (it's unique in the catalogue);\n", "- The position;\n", "- The stellarity;\n", "- The aperture fluxes. Are these aperture corrected?\n", "- The kron magnitude to be used as total magnitude (no “auto” magnitude is provided).\n", "\n", "We don't know when the maps have been observed. We will use the year of the reference paper." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "This notebook was run with herschelhelp_internal version: \n", "0246c5d (Thu Jan 25 17:01:47 2018 +0000) [with local modifications]\n", "This notebook was executed on: \n", "2018-05-01 13:21:31.637838\n" ] } ], "source": [ "from herschelhelp_internal import git_version\n", "print(\"This notebook was run with herschelhelp_internal version: \\n{}\".format(git_version()))\n", "import datetime\n", "print(\"This notebook was executed on: \\n{}\".format(datetime.datetime.now()))" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%matplotlib inline\n", "#%config InlineBackend.figure_format = 'svg'\n", "\n", "import matplotlib.pyplot as plt\n", "plt.rc('figure', figsize=(10, 6))\n", "plt.style.use('ggplot')\n", "\n", "from collections import OrderedDict\n", "import os\n", "\n", "from astropy import units as u\n", "from astropy import visualization as vis\n", "from astropy.coordinates import SkyCoord\n", "from astropy.table import Column, Table\n", "import numpy as np\n", "\n", "from herschelhelp_internal.flagging import gaia_flag_column\n", "from herschelhelp_internal.masterlist import nb_astcor_diag_plot, nb_plot_mag_ap_evol, \\\n", " nb_plot_mag_vs_apcor, remove_duplicates\n", "from herschelhelp_internal.utils import astrometric_correction, mag_to_flux, aperture_correction, flux_to_mag" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "OUT_DIR = os.environ.get('TMP_DIR', \"./data_tmp\")\n", "try:\n", " os.makedirs(OUT_DIR)\n", "except FileExistsError:\n", " pass\n", "\n", "RA_COL = \"legacy_ra\"\n", "DEC_COL = \"legacy_dec\"" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Pritine LS catalogue\n", "orig_legacy = Table.read(\"../../dmu0/dmu0_LegacySurvey/data/LegacySurvey-dr4_EGS.fits\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## I - Aperture correction\n", "\n", "To compute aperture correction we need to dertermine two parametres: the target aperture and the range of magnitudes for the stars that will be used to compute the correction.\n", "\n", "**Target aperture**: To determine the target aperture, we simulate a curve of growth using the provided apertures and draw two figures:\n", "\n", "- The evolution of the magnitudes of the objects by plotting on the same plot aperture number vs the mean magnitude.\n", "- The mean gain (loss when negative) of magnitude is each aperture compared to the previous (except for the first of course).\n", "\n", "As target aperture, we should use the smallest (i.e. less noisy) aperture for which most of the flux is captures.\n", "\n", "**Magnitude range**: To know what limits in aperture to use when doing the aperture correction, we plot for each magnitude bin the correction that is computed and its RMS. We should then use the wide limits (to use more stars) where the correction is stable and with few dispersion." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:76: RuntimeWarning: invalid value encountered in log10\n", " magnitudes = 2.5 * (23 - np.log10(fluxes)) - 48.6\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:76: RuntimeWarning: divide by zero encountered in log10\n", " magnitudes = 2.5 * (23 - np.log10(fluxes)) - 48.6\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:80: RuntimeWarning: invalid value encountered in double_scalars\n", " errors = 2.5 / np.log(10) * errors_on_fluxes / fluxes\n" ] } ], "source": [ "bands = [\"g\", \"r\", \"z\"]\n", "apertures = [0, 1, 2, 3, 4, 5, 6, 7] \n", "aperture_sizes = [0.5, 0.75, 1.0, 1.5, 2.0, 3.5, 5.0, 7.0] #arcsec aperture sizes\n", "\n", "flux = {}\n", "flux_errors ={}\n", "magnitudes = {}\n", "flux_errors ={}\n", "magnitude_errors = {}\n", "stellarities = {}\n", "\n", "flux_to_mag_vect = np.vectorize(flux_to_mag)\n", "\n", "for band in bands:\n", " flux[band] = np.transpose(np.array( orig_legacy[\"apflux_{}\".format(band)], dtype=np.float )) \n", " flux_errors[band] = np.transpose(np.array( orig_legacy[\"apflux_ivar_{}\".format(band)], dtype=np.float ))\n", " \n", " magnitudes[band], magnitude_errors[band] = flux_to_mag_vect(flux[band] * 3.631e-6 ,flux_errors[band] * 3.631e-6)\n", " \n", " stellarities[band] = np.full(len(orig_legacy),0., dtype='float32')\n", " stellarities[band][ orig_legacy[\"type\"] == \"PSF\" ] = 1.\n", " stellarities[band][ orig_legacy[\"type\"] == \"PSF \" ] = 1.\n", " \n", " # Some sources have an infinite magnitude\n", " mask = np.isinf(magnitudes[band])\n", " magnitudes[band][mask] = np.nan\n", " magnitude_errors[band][mask] = np.nan\n", " \n", "\n", " \n", " \n", "mag_corr = {}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### I.a - g band" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjgAAALACAYAAACetAiCAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzs3XucTfX+x/HXZ824jLuZEc0wCpVUKoeUojCpKCklkhpO\n6aJ0daLkVhidpBtRJN0VqZRu003pVLo46nRSOl1+hTQzjSiDsb6/PzaDKLPZe6/Ze97Px6NHZu29\n17zn+6Devuu71teccw4RERGRBOIFHUBEREQk0lRwREREJOGo4IiIiEjCUcERERGRhKOCIyIiIglH\nBUdEREQSjgqOiIiIJBwVHBEREUk4KjgiIiKScFRwREREJOEkBx0gFlasWBHxc6anp5Ofnx/x88Yb\njYPGADQGoDHYSuOgMYDojkFGRkaZ3qcZHBEREUk4KjgiIiKScFRwREREJOGo4IiIiEjCUcERERGR\nhKOCIyIiIglHBUdEREQSjgqOiIiIJBwVHBEREUk4KjgiIiKScFRwREREJOGo4IiIiEjCUcHZA27d\nr6ybPQPnbw46ioiIiOyCCs4ecEsX89sTM3Dznwg6ioiIiOyCCs4esGM6UbVTN9zzs3H//iDoOCIi\nIvIHKjh7wMyoNfA6yGqKP2MSbvWKoCOJiIjIdlRw9pBVqYJ36VDwPPwp43EbioOOJCIiIluo4OwF\nS6+Pd9F1sOJ73EP34JwLOpKIiIiggrPX7JAjsR7n4T5YiHvtuaDjiIiICCo4EWGnnAVHHI17aibu\ny8+CjiMiIlLhqeBEgJnhDbgK6u2LP+1WXFFB0JFEREQqNBWcCLGUaniXDYMNxfhTJ+BKNgUdSURE\npMJSwYkgy8jCyxkMX3+Bmz0j6DgiIiIVlgpOhFnr47AuZ+DeXID/7utBxxEREamQVHCiwM48Hw46\nDPfIFNz3XwcdR0REpMJRwYkCS0rCGzgEatTCvzcX99vaoCOJiIhUKCo4UWK16uBdcj0UFeDff5t2\nHhcREYkhFZwosiYHYX0Gwn8+wT33eNBxREREKgwVnCiz9idhx2bjXngSt+T9oOOIiIhUCCo4UWZm\nWN9LoHEz/Acm4X7SzuMiIiLRpoITA1apcmjn8aQk/Hu187iIiEi0qeDEiKXts2Xn8f/DzbpbO4+L\niIhEkQpODFmLI7EzzsMtfhuXp53HRUREokUFJ8bs5J5w5NG4OTNxy7TzuIiISDSo4MSYmeH1vwr2\n2Rd/2gTcL9p5XEREJNJUcAJgKdXwLh0GGzfgT83VzuMiIiIRpoITEMvIwut/JfxvmXYeFxERiTAV\nnADZ347FTtq68/hrQccRERFJGCo4AbMztu48fq92HhcREYkQFZyA7bDz+JTxuHW/Bh1JREQk7qng\nlANWq07oScdrCvGnT9TO4yIiIntJBaecsP0PxPpcHNp5/FntPC4iIrI3kmP5zfLz85k8eTJFRUWY\nGdnZ2XTt2pUnn3yS1157jVq1agHQp08fWrVqtdPnlyxZwsyZM/F9n86dO9OjR49Yxo86r8NJ+N98\niVvwJG7/ZtgRRwcdSUREJC7FtOAkJSXRr18/mjRpwvr16xk6dCgtW7YEoFu3bnTv3v1PP+v7PjNm\nzGD48OGkpaUxbNgwWrduTcOGDWMVPybs3Itx//cN/gN34N0wEWuQGXQkERGRuBPTS1R169alSZMm\nAKSkpJCZmUlhYWGZPrt8+XIaNGhA/fr1SU5Opl27dixevDiacQOx087jxeuDjiQiIhJ3AluDs3r1\nar755huaNWsGwEsvvcR1113HlClTWLdu3U7vLywsJC0trfTrtLS0MpejeBPaeXwIrPwB99A92nlc\nREQkTDG9RLVVcXExEydOJCcnh2rVqtGlSxfOOussAGbPns1DDz3EZZddtsfnz8vLIy8vD4Dc3FzS\n09Mjknt7ycnJUTlvqQ7Z/Ja/knUP30v1Q46g+ul9ove99kLUxyEOaAw0BqAx2ErjoDGA8jEGMS84\nJSUlTJw4kfbt29O2bVsA6tSpU/p6586dmTBhwk6fS01NpaBg28aUBQUFpKam7vJ7ZGdnk52dXfp1\nfn5+pOKXSk9Pj8p5t+fanwz/WcK6hybze3oD7KDDovr99kQsxqG80xhoDEBjsJXGQWMA0R2DjIyM\nMr0vppeonHNMnTqVzMxMTj311NLjv/zyS+mvP/jgAxo1arTTZ5s2bcrKlStZvXo1JSUlvPvuu7Ru\n3TomuYNiZng5V8I+GfjTbsUVVuw/MCIiImUV0xmcZcuWsXDhQrKyshgyZAgQuiV80aJFfPvtt5gZ\n9erVY+DAgUBo3c20adMYNmwYSUlJDBgwgLFjx+L7Ph07dtxlEUo0llIN77Jh+GOvw582Ae+6cVil\nSkHHEhERKdfMVYAVrCtWrIj4OWM9Bek+ehd/ai52wil4fS+N2ffdHU3FagxAYwAag600DhoDqICX\nqGTP2d/aYSediXvzRfxF2nlcRETkr6jgxBE7ox80b4l7ZAruO+08LiIi8mdUcOJI6c7jtWqHHgKo\nncdFRER2SQUnzljN2niXDAvtPH6/dh4XERHZFRWcOGT7H4Cdewl8rp3HRUREdkUFJ0557btg7buE\ndh5f8l7QcURERMoVFZw4Zn0GQuNm+A/cgVv1Y9BxREREyg0VnDgW2nl8GCQl408Zp53HRUREtlDB\niXOWVi90Z9WqH3Gz7tbO4yIiIqjgJAQ7+HDszH64D9/BvfpM0HFEREQCp4KTIOykM6FVO9zcWbhl\nnwYdR0REJFAqOAnCzPD6D9bO4yIiIqjgJBSrWg3vshtg00b8qbm4TZuCjiQiIhIIFZwEY/s2xOt/\nJXzzJW72/UHHERERCYQKTgKyVu2wk3vi3noJf1Fe0HFERERiTgUnQVmP8+Dgw3GP3Iv7bnnQcURE\nRGJKBSdBWVIS3kXXbdl5PFc7j4uISIWigpPArGbt0JOO1/yCf/9t2nlcREQqDBWcBGf7HYCdezF8\nvgT37GNBxxEREYkJFZwKYNvO40/hPtHO4yIikvhUcCoI63Mx7HcA/gOTcKt+CDqOiIhIVKngVBBW\nqRLepUOhUmX8KeO187iIiCQ0FZwKxFLrhe6sWvUj7sG7tPO4iIgkLBWcCsYOPhzreT7uo0W4V7Tz\nuIiIJCYVnArIupwBf9uy8/gXS4OOIyIiEnEqOBWQmeHlDIYGmfj3/RNX+HPQkURERCJKBaeCsqrV\nQg8B3LQRf+oE7TwuIiIJRQWnAgvtPH5VaOfxJ7TzuIiIJA4VnArOWh2DndITt/Al/HdeDTqOiIhI\nRKjgyLadxx+divv2q6DjiIiI7DUVHMG8JLyLhkCtOqGdx9dq53EREYlvKjgCgNWshXfZMPi1CP/+\nf2rncRERiWsqOFLKGjfD+l4C//037plHg44jIiKyx1RwZAfecSdiHU7CvTgH9/G/go4jIiKyR1Rw\nZCfWeyDsfyD+zDtwK7XzuIiIxB8VHNmJVaqEd8n1oZ3H7x2PK/496EgiIiJhUcGRXbLUengDh8Cq\nH/G187iIiMQZFRz5U9a8JdbzAvjoXe08LiIicUUFR/6SdemB/e3Y0M7j//130HFERETKRAVH/pKZ\nYTlXaOdxERGJKyo4sltWtVroIYAlm7TzuIiIxAUVHCkTa9AQb8DVW3Yevy/oOCIiIn9JBUfKzI48\nGjvlLNzCl/HffiXoOCIiIn9KBUfCYj36QosjcI9N087jIiJSbqngSFjMS8K78DqoXRf/3lw2a9Gx\niIiUQyo4EjarWQvv0mGw7lcKrr4At+T9oCOJiIjsQAVH9og1boo3/HaS0vfBnzwW/+HJuA3FQccS\nEREBVHBkL9i+jUjNvR87uSfu7Vfwb75a63JERKRcUMGRvWKVKuH1vADv2ltg0wb83H/gv/Akzt8c\ndDQREanAVHAkIuygw/BG3IW1aod75hH8f96Iy/8p6FgiIlJBqeBIxFj1GthF12F/vxp+/BZ/zJX4\n770ZdCwREamAVHAkoswM7+iOeCPuhMz9cDNux7//Ntzv64KOJiIiFUhyLL9Zfn4+kydPpqioCDMj\nOzubrl27lr4+f/58Hn74YaZPn06tWrV2+vygQYOoWrUqnueRlJREbm5uLONLGCy9Pt6QsbgX5+Lm\nP45b/l+8AVdjBx0adDQREakAYlpwkpKS6NevH02aNGH9+vUMHTqUli1b0rBhQ/Lz81m6dCnp6el/\neY6RI0fusvxI+WNeEtatF67FkfjTJ+JPvBE7+Uys+7lYcqWg44mISAKL6SWqunXr0qRJEwBSUlLI\nzMyksLAQgFmzZtG3b1/MLJaRJAZs/wPwbpqEHXci7sW5+OP/gVv5Q9CxREQkgcV0Bmd7q1ev5ptv\nvqFZs2YsXryY1NRU9ttvv91+7uabb8bzPE488USys7N3+Z68vDzy8vIAyM3N3e2s0J5ITk6Oynnj\nTVjjcM0oio/tyK+Tc/FvuZqa/QeTclKPuC+1+r2gMQCNwVYaB40BlI8xCKTgFBcXM3HiRHJyckhK\nSmLevHkMHz58t5+7+eabSU1NZc2aNdxyyy1kZGTQokWLnd6XnZ29Q/nJz8+PaH6A9PT0qJw33oQ9\nDk0PwUbciXvwTtZO+ydr33sL7/zLsVp1ohcyyvR7QWMAGoOtNA4aA4juGGRkZJTpfTG/i6qkpISJ\nEyfSvn172rZty08//cTq1asZMmQIgwYNoqCggOuvv56ioqKdPpuamgpA7dq1adOmDcuXL491fIkA\nq5OKN3gk1vsi+M8n+KOuwH36YdCxREQkgcR0Bsc5x9SpU8nMzOTUU08FICsri+nTp5e+Z9CgQYwf\nP36nhcTFxcU450hJSaG4uJilS5dy1llnxTK+RJB5Htb5NFzzlqEFyHeNwTp2xXr2x6pUCTqeiIjE\nuZgWnGXLlrFw4UKysrIYMmQIAH369KFVq1a7fH9hYSHTpk1j2LBhrFmzhttuuw2AzZs3c9xxx3HE\nEUfELLtEh2U2xrvhNty8h3GvPov74lO8C6/BspoGHU1EROKYOedc0CGibcWKFRE/p66xhkRyHNzn\nS/Bn3gFrf8V69MW6nIF55f9ZlPq9oDEAjcFWGgeNAcTxGpz8/Hy+/PLLPfmoyJ+yFkfgjbwLDj8K\nN3cW/u034Qp/DjqWiIjEobAKTn5+PjfddBNXX301N998MwDvvfceU6dOjUo4qXisRi28S67HcgbD\nt8vxRw/GX/x20LFERCTOhFVw7rvvPo488khmzZpFcnJo+U7Lli1ZunRpVMJJxWRmeMdm4424Axo0\nxN33T/wZk3Drfw86moiIxImwCs7y5cvp0aMH3nbrIqpVq8bvv+t/PBJ5ts++eP/IxU7rjXv/Lfwx\nV+KWfx50LBERiQNhFZzatWuzatWqHY798MMPgT+tUBKXJSXhdT8X7/pcMMO/9Qb8Zx/FlZQEHU1E\nRMqxsArOaaedxoQJE3jjjTfwfZ933nmHSZMmcfrpp0crnwgA1rQ53og7sGM64p6fjX/rUNzqyN8d\nJyIiiSGs5+B06tSJmjVrkpeXR1paGm+99RbnnHMORx11VLTyiZSyqtWw/lfiWrbGf2gy/pirsHMu\nxI47Me73sxIRkcgK+0F/bdq0oU2bNtHIIlIm9rdj8fY/CH/mHbiH7sF9+mFoP6satXb/YRERqRB2\nW3Bef/31Mp2oU6dOex1GpKwsNR3v6jG4vGdx8x7GHzUYr/+V2CFHBh1NRETKgd0WnLff3vYMEucc\ny5Yto06dOqSlpVFQUEBRURHNmzdXwZGYM8/DupyBO/gI/Ptvw79jJNb5NKznBVilykHHExGRAO22\n4IwcObL01w888ABt2rShW7dupccWLFiw051VIrFkjfbHG347bu4s3GvzcV8sxbvwWqzhfkFHExGR\ngIR1F9Xbb7/NKaecssOxk08+eYdZHpEgWOUqeH0G4g0eCWvX4I+9Bv/VZ3G+H3Q0EREJQFgFp06d\nOnz44Yc7HPvwww+pVUuLO6V8sMP+hjfqbjikFe7JGfh3jsIVFQQdS0REYiysu6j69+/PxIkTee65\n50hLSyM/P58ffviBa665Jlr5RMJmNWvjDboR9/bLuNkzQguQzx+EtWoXdDQREYmRsApOy5Ytufvu\nu1myZAmFhYW0atWKVq1aUbNmzWjlE9kjZoZ1OBl34GH40yfi35uLHZuN9b4Iq5oSdDwREYmysJ+D\nU6tWLTp06BCNLCIRZw0y8Ybeipv/OO7FObgvPwstQG5yUNDRREQkisIqOCNGjPjTJ8aOHj06IoFE\nIs2Sk7Ez+uEOaYX/wCT8Cddjp/XGTjkbS0oKOp6IiERB2Fs1bK+oqIg33niD9u3bRzSUSDTYgYfg\njbgT99hU3LOP4T77GO/v12D1GgQdTUREIiysgnPCCSfsdOzoo49mypQpnHXWWZHKJBI1Vq06duG1\n+Ie1xj06FX/MlVifgdgxnbSflYhIAgnrNvFdSU1N5bvvvotEFpGY8doejzfyTshqgpt5J27arbjf\n1gYdS0REIiSsGZw/7ku1ceNG3n//fQ488MCIhhKJBUvbB+/aW3Avz8M9+yju6y/wBlyFHXx40NFE\nRGQvhVVw/vjE4ipVqnDQQQftsHWDSDwxLwk75SxciyNCt5NPGoGd2APrcR5WqVLQ8UREZA+FVXC2\n35dKJJFY42Z4wyfhnnoA98o83H+XhG4nz8gKOpqIiOyBsNbg9O/ff5fHL7zwwoiEEQmSVamKd95l\neJcPh6JC/FuuwX/9eZxzQUcTEZEwhVVwNm/evNOxkpISfG1oKAnEDj8Kb+Rd0Lwl7vH78O8ag1vz\nS9CxREQkDGW6RLX1AX+bNm3a6TJVQUGBFhlLwrHadfGuuAn35gLcUzPxRw/Gu+AK7PCjgo4mIiJl\nUKaCs/UBf8uXL6djx46lx82M2rVrc+ihh0YnnUiAzAzr2A130Jb9rO65BetwMtZrAFalatDxRETk\nL5Sp4Gx9wN8BBxxAZmZmNPOIlDuWkYU37Dbcs4/gXnkG9+WnoQXIjZsFHU1ERP7EbgvOwoULSzfX\nXLZsGcuWLdvl+/64jYNIIrFKlbCz+uMO/Rv+A3fgjx+Cnd4XO+mMoKOJiMgu7LbgLFq0qLTg/PE5\nONtTwZGKwJq3xBt5F+6RKbinH8J99hGbrx0Dnp6ZIyJSnpirAPfArlixIuLnTE9PJz8/P+LnjTcV\ndRycc7h/vYF7fBo4F9qdvHN3LDmsR0sljIr6+2B7GoMQjYPGAKI7BhkZGWV63x7913jNmjUUFxfv\ncKx+/fp7ciqRuGRmWLtOuIMOo9LTD7JhzoO4f72B128Q1rR50PFERCq8sArOkiVLuPfeeykqKtrp\ntdmzZ0cslEi8sLR61Bk2gZ/znsd//D783H9gHU7CzrwAq14j6HgiIhVWWAVnxowZ9OzZkxNOOIHK\nlStHK5NI3LEjjsZrfjjuucdwr83HffIe1uvvWNvjMbOg44mIVDhhPcl43bp1nHjiiSo3IrtgVVPw\nev0d78bbIb0+bsbt+JNG4H6K/BowERH5a2EVnE6dOvHGG29EK4tIQrCsJnhDJ2DnXgLffoU/6gr8\n+U/gNm0KOpqISIUR1iWqr776ihdffJFnn32WOnXq7PDa6NGjIxpMJJ6Zl4R17Io78mjckzNCl67e\nfwvvvEux5i2DjicikvDCKjidOnXS825EwmB1UrGBQ3DtOuM/NhV/4nDs6I6h7R5q1g46nohIwgqr\n4GzdskFEwmOHtsIbdTfuhadwLz+NW7oYOysHOzYb88K6UiwiImUQVsF5/fXXd3m8UqVKpKWlccAB\nB1Cpkp7oKrIrVrkKdsZ5uKOPx39kCu6he3DvvoZ33iAsMyvoeCIiCSWsgrNw4UK+/PJLateuTVpa\nGgUFBaxZs4amTZuyevVqAP7xj3/QtGnTqIQVSQS2byO868bh3n0NN2cm/s1XYl16YN16Y1WqBB1P\nRCQhhFVwGjZsyFFHHUXXrl1Lj7300kv8+OOPjBkzhqeffpoHHniAsWPHRjyoSCIxM+zYbFzLo3Bz\nZ+JenIv74G28vpdgh7UOOp6ISNwL6+L/okWLOPnkk3c41qVLF9555x3MjO7du/PDDz9ENKBIIrOa\ntfByrsS7bhxUroJ/1xg2T83FFRUEHU1EJK6FVXBq167NRx99tMOxjz/+mFq1agGwadMmkivoZoMi\ne8MOOhRvxB1Yj/Ng6Yf4N12G/9rzOH9z0NFEROJSWG2kf//+3H777WRlZZWuwfn++++55pprgNBz\ncv44wyMiZWPJlbBuvXBt2uM/OhX3xH24f70e2sCzsda1iYiEw5xzLpwPrF27lk8++YTCwkLq1q1L\nq1atqFmzZrTyRcSKFZF/VH40t4KPJxqH6IyBcw63+G3c7Omw9lesUzesR1+sarWIfp9I0e8DjcFW\nGgeNAUR3DDIyMsr0vrCvJ9WsWZMOHTqEHUhEys7MsKM64A5thZv3CO7153EfvYvX+yJodYw28BQR\n2Y2wCs7mzZt5+eWX+fzzz1m7du0Or2mrBpHIs2o1sL6X4I7piP/wFPypuXBYa7xzL8bS6wcdT0Sk\n3AprkfGsWbPIy8ujRYsW/O9//6Nt27asWbOGQw45JFr5RASwJgfhDb8dO3sAfPkZ/sjL8V+aiysp\nCTqaiEi5FFbBef/997nhhhvo2rUrSUlJdO3alSFDhvCf//wnWvlEZAtLSsLr0gNv9GRocQRu7iz8\nW67GLf9v0NFERMqdsArOxo0bSUtLA6By5cps2LCBzMxMvv3222hkE5FdsLR6JA26EW/QDbD+N/wJ\n1+M/PBn329rdf1hEpIIIaw1OZmYmX3/9Nc2aNaNJkyY89dRTpKSkkJqaWqbP5+fnM3nyZIqKijAz\nsrOzd3gq8vz583n44YeZPn166bN1trdkyRJmzpyJ7/t07tyZHj16hBNfJKHYEUfjNT8cN/9xXN5z\nuE/eC+1S3vYELUIWkQovrIKTk5ODt2Xn4wsuuIDp06ezfv16Bg4cWKbPJyUl0a9fP5o0acL69esZ\nOnQoLVu2pGHDhuTn57N06VLS09N3+Vnf95kxYwbDhw8nLS2NYcOG0bp1axo2bBjOjyCSUKxqCnb2\nAFzbE0IbeM6YhHv3dbxzL8EaZAYdT0QkMGFdoto6cwOw7777ctNNNzFu3DgOPvjgMn2+bt26pZ9P\nSUkhMzOTwsJCILSAuW/fvn/6N8/ly5fToEED6tevT3JyMu3atWPx4sXhxBdJWJbVBG/oBKzvJfDt\ncvzRV+A/9zhu06ago4mIBCLs5+D8/PPPfPfddxQXF+9w/LjjjgvrPKtXr+abb76hWbNmLF68mNTU\nVPbbb78/fX9hYWHp+h+AtLQ0vvrqq7C+p0giMy8JO6Er7shjcLOnhy5dfbAwtIHnwYcHHU9EJKbC\nKjjz5s1j7ty5NGzYkMqVK5ceN7OwCk5xcTETJ04kJyeHpKQk5s2bx/Dhw8OJ8pfy8vLIy8sDIDc3\n908ve+2N5OTkqJw33mgcyuEYpKfDDRPYsOR91k79J5tvv4mqx59EzZwr8OqUbb1cuMrdGARAYxCi\ncdAYQPkYg7AKzvPPP09ubu5erXspKSlh4sSJtG/fnrZt2/L999+zevVqhgwZAkBBQQHXX38948eP\np06dOqWfS01NpaBg2w7LBQUFf7q4OTs7m+zs7NKvo/G4aD2KO0TjUI7HoGFT3Ig7sQVPUfzS0xQv\nXoT1vAA77kTMC+vq9G6V2zGIIY1BiMZBYwBxuFVDjRo1qFev3h4FgtD+OlOnTiUzM5NTTz0VgKys\nLKZPn176nkGDBjF+/Pid7qJq2rQpK1euZPXq1aSmpvLuu+8yePDgPc4iUhFY5SpYj/NwbY8PLUJ+\neHJoA8/zLsMyGwcdT0QkasL6a1xOTg7Tpk3j66+/Jj8/f4d/ymLZsmUsXLiQzz77jCFDhjBkyBA+\n/vjjP31/YWEh48ePB0J3YA0YMICxY8dy9dVXc8wxx9CoUaNw4otUWLZvI7zrxmE5V8KqH/Bvvgp/\n7izchg1BRxMRiYqwdhNfvHgx06ZN22kfKoDZs2dHNFgkaTfx6NE4xN8YuLW/4ubOxC16DdL2CS1C\nPqz1Xp0z3sYgGjQGIRoHjQHE4SWq6dOn06dPH4499tgdFhmLSPywmrWwnCtx7TrjP3Iv/l1j4G/t\n8M65CKubtvsTiIjEgbAuUfm+T8eOHalatSqe5+3wj4jEFzvwULwRd2A9zoOlH+KPuAz/tfk4f3PQ\n0URE9lpYzeS0007jmWeeIYyrWiJSjllyJbxuvfBG3Q1Nm+OeuB9/3BDcd8uDjiYislfCukT14osv\nUlRUxLx586hRo8YOr917770RDSYisWP77It35Sjch+/gZk/HH3sd1qkbdnpfLKVa0PFERMIWVsG5\n4ooropVDRAJmZlib9rhDjsTNewT3+vO4jxbh9R4IrY7RBp4iElfCKjgtWrSIVg4RKSesWg2s7yW4\nYzriPzIFf2ouHNYa79yLsfT6QccTESkTrQ4WkV2yJgfh3Xg7dvYA+PIz/JGD8F+ciyspCTqaiMhu\nqeCIyJ+ypCS8Lj3wRk+GFq1wT8/Cv+Vq3PL/Bh1NROQvqeCIyG5ZWj2SBt2AN+hGWP8b/oTr8R+6\nB/fbzg/9FBEpD8JagyMiFZsd0RaveUvc/Mdxec/hlryP9RqA63ZW0NFERHYQVsFZt24dzz33HN99\n9x3FxcU7vDZ69OiIBhOR8smqpmBnD8Ad3RH/4cm4GZMoeHkefmZjyGyMZTSGzCxIrRfxXctFRMoq\nrIJz5513UlJSwjHHHKOtGkQqOGu0P97QCbh38kj6/GM2f/U5vP8WpY8BrVIVMrKwjKxQ8cnMgozG\nULuubjkXkagLq+B8+eWXTJ8+nUqVKkUrj4jEEfOSsA4nUffMvuTn5+N+/w1W/h/ux+9gxfe4H7/D\nLV0Mi/K2FZ/qNSEzq3Smp/Tf1WsG+aOISIIJq+BkZWVRUFBAgwYNopVHROKYVasOTZtjTZvvcNz9\nWrSl8HwPK74LFZ/334L1v20rPnVSt8z4bCk8mY1h30ZY1ZSY/xwiEv/CKjiHHnoo48aN44QTTqBO\nnTo7vNbniJwkAAAgAElEQVSpU6eIBhORxGG16kCtOljzlqXHnHPwS8GWwvM9/PgdbsX3uIUvwsaN\n24pPev0ta3u2u9RVvyGmmWQR+QthFZwvvviCtLQ0Pv30051eU8ERkXCYGaSmQ2o6dujfSo87fzPk\n/wQ/fr/jpa7PPoLNm0PFx/Ogfua20pORFVrYXG9fLCkpsJ9JRMqPsArOyJEjo5VDRAQIrethnwzY\nJwM78ujS465kE/y0YrvS8z3u//4HH78bmg0CSK4E+zYMXd7K2DLbk9k4dEeXFjaLVCh7/Bwc59y2\n/6gAnm4HFZEosuRKWy5RNd7huNuwAVZtWdj84/e4Fd/hln0G77257TJX1ZTQ+p7Mxjv8m1p1VHxE\nElRYBaewsJAZM2bw3//+l99++22H12bPnh3RYCIiZWFVqkDjZljjZjscd7+v27aweev6nk/+BW+/\nsq341Ki5baYno/G2AlS9Rsx/DhGJrLAKzn333UeVKlUYMWIEI0eOZPTo0Tz11FMceeSR0conIrJH\nrFoNaNYCa9ai9JhzDtYWbZnp2a74/OsNKF6/3R1dadvu5NpagPZthFWpGsjPIiLhC/s5OFOmTKFq\n1aqYGfvttx+XXnopw4cPJzs7O1oZRUQiwsygVl2oVRc7+PDS4845KMwvvYW99FLX6y9AyaZQ8TEL\n3dH1x0tdDTJDl89EpFwJq+B4nkfSljsUqlevzq+//kpKSgqFhYVRCSciEgtmBmn1IK0edljr0uPO\n3wyrV+18K/unH4Lvh4pPUmhRdNF+zfBrp0K9+lh6A6jXAOqmY8na8k8kCGH9yWvWrBmffPIJRx11\nFIcffjiTJk2icuXKNG3aNFr5REQCY14SNMgMzdK0ald63G3aBD/9uMNt7CXfLsetXgmbS7Zd6vI8\nSK0H9Rpg6fVDt7HXqx8qP+kNtNZHJIrCKjhXXHFF6Z1TOTk5zJ8/n/Xr19OtW7eohBMRKY+sUiVo\nuB/WcL/SY+np6fy8+if4pRDyV+F+XgU//1T6a7fkfVi7Zlv5AahWHdIb7DDrY/Xqh46l1tPsj8he\nCOtPT/Xq1Ut/XblyZXr27BnxQCIi8cq8pG2Xug46bKfXXfHvoYcY/vxTqABtLUI/fIf79wdQst3s\nj3mhByHWa4DVaxBa/7P9DFC1GrrFXeQvhFVwNm3axJw5c1i0aBFr165l1qxZ/Pvf/2blypWcfPLJ\n0cooIpIQrGo1aLg/NNyfP1YT52+GosJQ+clfBVtmgFz+ttkfYFsBSqkOW2Z7rPTfodmg0OyPFj5L\nxRZWwZk1axaFhYUMHjyYcePGAdCoUSNmzZqlgiMishfMSwqt10mthx106E6vu+L1odmf/FW4n3+C\nn1fh8n8KrQFaunjb3V6hk4Vmf9Lrbzf70wCrt2+oAFWvqdkfSXhhFZwPPviAu+66q/Q2cYDU1FTd\nRSUiEmVWNQUa7hda+/OH15zvh2Z/tpafLTNALv+nUPn5tSj0vq0fSKm2rfT8YQ0QaZr9kcQQVsFJ\nTk7G9/0djv3666/UrFkzoqFERKTszPO2bVx64C5mfzYUb1n7s2rL5a8ta4BW/oBb+uHOsz9107a7\n86vBtpmgevtCDc3+SHwIq+AcffTR3HPPPeTk5ADwyy+/8OCDD9KuXbu//qCIiATGqlQNbTqa2XjX\nsz+//rKt9Gy3+Nl99hGs+SX0vq0fqJqy7c6vrbe7b73zK22fWP5YIn8prIJz7rnn8sgjj3Dttdey\nceNGBg8eTOfOnTn77LOjlU9ERKLIPC+0NUWdNOyAFju9Hpr9Wb3tjq/8LUVo1Y+4zz6GTRu3lZ/k\nZNadcR6u42mhW+lFAhT2JaqcnBxycnJKL01pqlJEJHGFZn+yQntz/eG10OxP0ba1P599xG9PPQhv\n5+FdcPkO+4CJxFqZCk5+fv4ujxcUFJT+Oj09PTKJREQkLoRmf1KhTmqozBzTkZon9aBoSi7+rcOw\nE07Bzjw/dHu8SIyVqeAMGjRot++ZPXv2XocREZH4VqXV0Xij7sY98wju9edxSz7AO+9SrGWboKNJ\nBVOmgtO4cWM2btzI8ccfT/v27UlNTY12LhERiVNWNQXrfRGuTXv8h+7Bv/tm7Kjjsd4XYjVrBx1P\nKogyFZxbb72V77//nrfeeoubbrqJhg0b0qFDB9q2bUvlypWjnVFEROKQNW2Od9Mk3II5uAVP4T7/\nGDvnQqztCVq/KVHnlfWNWVlZ9OvXj8mTJ9OtWzc++ugjBg4cyP/+979o5hMRkThmyZXwuvfBu+kO\n2CcDN2MS/l1jcAWrg44mCa7MBWerVatW8fnnn/PVV1+x//77U6NGjWjkEhGRBGKZWXjX52K9L4Kv\n/oM/8nL8154P7cElEgVlukS1bt063nnnHd566y2Ki4tp3749o0eP1p1TIiJSZuYlYZ1Pwx3RFv+R\nKbgn7sMtXoh3/uVYRlbQ8STBlKngXHzxxeyzzz60b9+eAw88EAjN5Kxatar0PYceuvPjwUVERP7I\n0vbBGzwS9/6buNnT8cdchXU9G+t6lvbBkogpU8GpU6cOGzdu5LXXXuO1117b6XUz45577ol4OBER\nSUxmhh3dEdfiSNzs6bj5j+M+WhSazWnaPOh4kgDKVHAmT54c7RwiIlIBWa062EXX4doej//IvfgT\nrsc6nYr1OC+0g7rIHgp7kbGIiEikWcs2eKPvwU44BffafPxRV4T2uhLZQyo4IiJSLlhKNbxzL8G7\nPhcqVca/cxT+jEm4db8GHU3ikAqOiIiUK9asBd6IO7CuvXCLF+KPGIT/wUKcc7v/sMgWKjgiIlLu\nWKXKeGechzf8dkjbB3f/bfj33IIr3PXmzyJ/pIIjIiLlljXcH2/YrdjZA+CLf+OPHIT/5gKc7wcd\nTco5FRwRESnXzEvC69IDb9Q9sP+BuEen4t92A27VD0FHk3JMBUdEROKC1WuAd/UYLGcw/Pgd/ugr\n8V94EldSEnQ0KYdUcEREJG6YGd6x2XhjpmCHH4V75hH8sdfgvv0q6GhSzqjgiIhI3LHadfEuuR5v\n0A2w7lf8cUPwn3oAt2FD0NGknCjTk4xFRETKIzviaLwDD8XNnYV75RncJ+/h9RuEHXx40NEkYDEt\nOPn5+UyePJmioiLMjOzsbLp27coTTzzBhx9+iJlRu3ZtLrvsMlJTU3f6/KBBg6hatSqe55GUlERu\nbm4s44uISDlk1Wpg/Qbhjjoe/6G78W+/CTs2Gzt7AFa9RtDxJCAxLThJSUn069ePJk2asH79eoYO\nHUrLli3p3r07vXv3BmDBggXMmTOHgQMH7vIcI0eOpFatWrGMLSIiccAOOhRv5F24+U/gXpmH+/RD\nvHMvwf7WLuhoEoCYrsGpW7cuTZo0ASAlJYXMzEwKCwupVq1a6Xs2bNiAmcUyloiIJAirXAWv5wV4\nN06EOqn4U3PZPGUcrqgg6GgSY4GtwVm9ejXffPMNzZo1A+Dxxx9n4cKFVKtWjZEjR/7p526++WY8\nz+PEE08kOzs7VnFFRCSOWFZTvBsm4l59Bvfc4/gjLsfOysHad9FfoisIcwFs7lFcXMzIkSM588wz\nadu27Q6vzZs3j02bNtGrV6+dPldYWEhqaipr1qzhlltuoX///rRo0WKn9+Xl5ZGXlwdAbm4uGzdu\njPjPkJycTImevaBxQGMAGgPQGGxVHsehZMX/8eu9E9j02cdUOrQVtS4bSvK+DaP2/crjGMRaNMeg\ncuXKZXpfzAtOSUkJEyZM4PDDD+fUU0/d6fX8/HzGjx/PxIkT//I8Tz75JFWrVqV79+67/Z4rVqzY\n47x/Jj09nfx87YmicdAYgMYANAZblddxcL6Pe+dV3JwHoWQT1r0PdmIPLCkp4t+rvI5BLEVzDDIy\nMsr0vpiuwXHOMXXqVDIzM3coNytXriz99eLFi3cZvri4mPXr15f+eunSpWRlZUU/tIiIxD3zPLwO\nJ+GNuQcOaYWbOwt/3LW4778OOppESUzX4CxbtoyFCxeSlZXFkCFDAOjTpw+vv/46K1euxMxIT08v\nvYOqsLCQadOmMWzYMNasWcNtt90GwObNmznuuOM44ogjYhlfRETinNVJw7tsGHz8L/zHpuKPvRbr\ncgZ2Wm+scpWg40kEBbIGJ9Z0iSp6NA4aA9AYgMZgq3gaB/fbOtxTD+AW5cE+GXjnX44ddOhenzee\nxiBaKtwlKhERkfLCqtfAyxmMd83N4Hz8227Af3gy7vffgo4mEaCCIyIiFZodfDjeyLuxLj1wb7+K\nP3IQbsl7QceSvaSCIyIiFZ5VqYJ39gC8Yf+EGrXwJ49j89Rc3Jpfgo4me0gFR0REZAvb/wC8G2/H\nepwH//4Af8Qg/EV5VIDlqglHBUdERGQ7lpyM160X3oi7ICML9+Bd+JNG4H5eFXQ0CYMKjoiIyC7Y\nvg3xhozD+l4C33yJP+oK/Feewfmbg44mZaCCIyIi8ifM8/BO6Io3+h5o3hL31AP44/+B++GboKPJ\nbqjgiIiI7Ial1sO7fDh20XVQsBr/lmvwn3kEt2lT0NHkT6jgiIiIlIGZ4R3VAW/MZOyoDrgXnsQf\ncyVu+edBR5NdUMEREREJg9WohTfgarwrR8GmjfgThuI/OhW3/vego8l2VHBERET2gB3aCm/U3Vjn\n03BvvYg/8nLc0sVBx5ItVHBERET2kFVNwet9Ed71EyClGv7dN7P2ocl6bk45oIIjIiKyl6xpc7yb\nJmEdTub3eY/i5sxUyQlYctABREREEoElV4LzLqVq9eqsf3Fu6OBZ/TGzYINVUCo4IiIiEWJm1Lzo\nGoqL1+NeeQacg7MHqOQEQAVHREQkgswM63MxYLhXnw0dVMmJORUcERGRCDMz6DMQIFRyHNBLJSeW\nVHBERESioLTkmOHyngUc9Pq7Sk6MqOCIiIhEiZlB74u2lJznQgdVcmJCBUdERCSKzAzOuRAgVHKc\ng3MuVMmJMhUcERGRKNuh5Lw2P3RQJSeqVHBERERiQCUntlRwREREYqS05Gy/JkclJypUcERERGLI\nzKDX34Etd1c5B70vUsmJMBUcERGRGAuVnAEAW24hRyUnwlRwREREAlBacmzrwwAd9BmokhMhKjgi\nIiIBMTM4e8tMztZtHVRyIkIFR0REJEClJccstEEnDvpcrJKzl1RwREREAmZmcFZ/wHCvzAsdVMnZ\nKyo4IiIi5UCo5OQAhEqOA85VydlTKjgiIiLlRGnJMXAvzwMcnHuJSs4eUMEREREpR8wMeuYAhnv5\n6dDBPhdjnhdkrLijgiMiIlLOhErOBQAqOXtIBUdERKQcKi05ZriX5oaek3PuJSo5ZaSCIyIiUk6Z\nGZx5PsCWkgP0VckpCxUcERGRcqy05Bi4F+eGDqrk7JYKjoiISDlnZnDG+YDhXpwDOOh7qUrOX1DB\nERERiQOhktMPYEvJQSXnL6jgiIiIxInSkmOGW/BUaOHxeZep5OyCCo6IiEgcMTPocR5AqOSASs4u\nqOCIiIjEmW0lx3ALngwdVMnZgQqOiIhIHAqVnL6hu6teUMn5IxUcERGROGVmcHpfYEvJcQ76DVLJ\nQQVHREQkrpWWHDPc87NDB1VyVHBERETinZlB93MBQiXHOTj/8gpdclRwREREEsC2kmO4558AHJx/\nRYUtOSo4IiIiCcLMsNPPxTdw858IHaygJUcFR0REJMF43c/Fp2KXHBUcERGRBLRDyXHABZdjXlLQ\nsWJGBUdERCRB7VhyHORcUWFKjgqOiIhIAguVHMPNfzx0oIKUHBUcERGRBOd174NvhnvuMcBBzuCE\nLzkxLTj5+flMnjyZoqIizIzs7Gy6du3KE088wYcffoiZUbt2bS677DJSU1N3+vySJUuYOXMmvu/T\nuXNnevToEcv4IiIiccs7rXfoctVzj4UOJHjJiWnBSUpKol+/fjRp0oT169czdOhQWrZsSffu3end\nuzcACxYsYM6cOQwcOHCHz/q+z4wZMxg+fDhpaWkMGzaM1q1b07Bhw1j+CCIiInHLO6136BbyZx8L\nLTzun7glJ6YFp27dutStWxeAlJQUMjMzKSws3KGkbNiwIfSwoj9Yvnw5DRo0oH79+gC0a9eOxYsX\nq+CIiIiEwTu1d2hNzrOPhg4kaMkJbA3O6tWr+eabb2jWrBkAjz/+OAsXLqRatWqMHDlyp/cXFhaS\nlpZW+nVaWhpfffVVzPKKiIgkCu/Uc0KXq559FHDQ/8qEKzmBFJzi4mImTpxITk4O1apVA6BPnz70\n6dOHefPm8dJLL9GrV689Pn9eXh55eXkA5Obmkp6eHpHc20tOTo7KeeONxkFjABoD0BhspXGIozHI\nGcS66tX57bH7qFKlCrWuGI4lRabklIcxiHnBKSkpYeLEibRv3562bdvu9Hr79u0ZP378TgUnNTWV\ngoKC0q8LCgp2uRAZIDs7m+zs7NKv8/PzI5R+m/T09KicN95oHDQGoDEAjcFWGoc4G4OOp2K//07x\nM4+wobgYG3BVRGZyojkGGRkZZXpfTJ/b7Jxj6tSpZGZmcuqpp5YeX7lyZemvFy9evMvwTZs2ZeXK\nlaxevZqSkhLeffddWrduHZPcIiIiicrr1gvrcR7u/bdwD9yB8zcHHSkiYjqDs2zZMhYuXEhWVhZD\nhgwBQpemXn/9dVauXImZkZ6eXnoHVWFhIdOmTWPYsGEkJSUxYMAAxo4di+/7dOzYkUaNGsUyvoiI\nSELyuvUKPSdn3sOhu6sGXBWxy1VBMeecCzpEtK1YsSLi54yrKcgo0jhoDEBjABqDrTQO8T0G/oKn\ncPMexo46PnS5ag9LTnm4RKUnGYuIiAgAXtezQzM5Tz8EOBhwddzO5KjgiIiISCnvlLNCt5A//VDo\nQJyWHBUcERER2UGo5Bju6VmhXcj/fk3clRwVHBEREdmJd0rP0LYOc2eFDsRZyVHBERERkV3yTu4Z\nulwVhyVHBUdERET+lHdyz9DC4zkPhg7ESclRwREREZG/5J10ZmgmZ86DoTU5F15b7kuOCo6IiIjs\nVqjkGG7OzNCBcl5yVHBERESkTLyTzggtPH5qZmgm56Lrym3JUcERERGRMvO6nBG6XPXUdjM5yeWv\nTpS/RCIiIlKuhUqO4Z56AIfDu/C6cldyYrqbuIiIiCQGr0sPrNff4aN38affhispCTrSDlRwRERE\nZI94J56+reTcX75KjgqOiIiI7LHSkvNx+So5KjgiIiKyV7wTT8fOKV8lRwVHRERE9pqXva3krLlj\nNM65QPOUryXPIiIiEre87NPxzaNqZiNKzALNooIjIiIiEeN1Po2q6emsy88PNkeg311EREQkClRw\nREREJOGo4IiIiEjCUcERERGRhKOCIyIiIglHBUdEREQSjgqOiIiIJBwVHBEREUk4KjgiIiKScFRw\nREREJOGo4IiIiEjCUcERERGRhKOCIyIiIgnHnHMu6BAiIiIikZQcdIBYWLFiRcTPmZ6eTn7AW8GX\nBxoHjQFoDEBjsJXGQWMA0R2DjIyMMr1Pl6hEREQk4ajgiIiISMJRwREREZGEo4IjIiIiCUcFR0RE\nRBKOCo6IiIgkHBUcERERSTgqOCIiIpJwVHBEREQk4ajgiIiISMJRwREREZGEo4IjIiJ7zTmH+/Yr\n3OaSoKOIABVks00REYke5xzu8ftwb7xAYVYT3JkXYIccGXQsqeA0gyMiInvMOYebMxP3xgvYUR1w\nG4rx7xjJ5jtH41Z8H3Q8qcBUcEREZI+5Zx7FvfIM1rEbduG1pN39GHZ2f/j6C/zRg/EfnYpbuybo\nmFIB6RKViIjsEf/52bgFT2Ltu2C9L8LMsEqV8bqcgTumE27+47i3XsK9/xbWrRfW6VSsUqWgY0sF\noRkcEREJm//y07hnH8WO6Yiddxnm7fi/E6tZG+/cS/BG3Q3NDsbNmYk/chDuo3dxzgWUWioSFRwR\nEQmL/9p83JwHsTbtsZzBO5Wb7dm+jUgaPALvqtFQuQr+1Fz8fw7DfftVDBNLRVRuLlEtWbKEmTNn\n4vs+nTt3pkePHju8/uOPPzJlyhS++eYbevfuTffu3QNKKiJScflvvYR74n448mhswNWYl1Smz9kh\nR+I1vwO36FXcM4/ij70WO7ojdkY/LDU9yqmlIioXBcf3fWbMmMHw4cNJS0tj2LBhtG7dmoYNG5a+\np0aNGvTv35/FixcHmFREpOLy330N98gUOKw13sAhWHJ4/wuxpCSsw8m4Nh1wL87Bvfos7uNFWJcz\nsZPOwKqmRCm5VETl4hLV8uXLadCgAfXr1yc5OZl27drtVGRq165Ns2bNSEoq298WREQkcvz338I9\neDe0OALv0qFY8p4vFraUanhnno938xTs8La455/AH34p/qI8nO9HMLVUZOWi4BQWFpKWllb6dVpa\nGoWFhQEmEhGRrdxH7+IemAQHtMC77EasUuWInNfS6+MNHII39FZITcc9eBf+2Gtwyz6NyPmlYisX\nl6giLS8vj7y8PAByc3NJT4/89d3k5OSonDfeaBw0BqAxgMQdgw2L36Ho/n9S6cBDqDNiEl5Ktb98\n/x6NQ/pxuKOOpfidV1n38L34t91IlbYdqHH+IJIzGu1F+mAk6u+FcJSHMSgXBSc1NZWCgoLSrwsK\nCkhNTd3j82VnZ5OdnV36dX5+/l7l25X09PSonDfeaBw0BqAxgMQcA/fZx/iTb4FGTdh86Q0U/vY7\n/Pb7X35mr8bh4FYw6h4s7zk2LJjDhg/PDT1A8NTeWPUae3bOACTi74VwRXMMMjIyyvS+cnGJqmnT\npqxcuZLVq1dTUlLCu+++S+vWrYOOJSJSYbkvluJPGQf7NsK7ajRWrXpMvq9VroLX9Wy8sVOxdp1x\nrz2Pf+PFoVvTS7SRp5RduZjBSUpKYsCAAYwdOxbf9+nYsSONGjXilVdeAaBLly4UFRUxdOhQ1q9f\nj5mxYMECbr/9dqpV++vpUhERCY/76nP8u2+Geg3wrh4TyOyJ1a6LnX85rlM3/CcfwD1xP+6NBXhn\n94eWbTCzmGeS+GKuAjxScsWKFRE/p6YgQzQOGgPQGEDijIH73zL8SSOgdirekHFY7bphfT4a4+Cc\ng08/xH/qAVj1IzRviXf2ACyrSUS/T6Qkyu+FvVEeLlGVixkcEREJnvvua/w7RkHN2njX3hJ2uYkW\nM4OWbfBaHIlb+BLuucfxb7kaOzYbO70vVmfP12xK4lLBERER3A/f4t8xAlKqhcpN3bTdfyjGLDkZ\n63Qqru0JuBdm415/Abf4bezknliXHljlKkFHlHKkXCwyFhGR4LiVP+DffhMkVw6Vm7R9go70l6x6\nDbxef8cbcw8cciTu2Ufxb7oU/7039aBAKaWCIyJSgbnVK/AnDgczvGtvxvbZN+hIZWb7ZJB06TC8\n68ZBjdq4Gbfj5/4Dt/zzoKNJOaCCIyJSQbn8n0LlZnMJ3jW3YA0a7v5D5ZAddCjejROx/lfBL/n4\nE4biT52A+3lV0NEkQFqDIyJSAbnC/FC5KV6Pd+1YLDMr6Eh7xTwPa9cJ97d2uJfn4V5+Gvfv97HO\n3bGuZ8fsOT5SfmgGR0SkgnFFhaFy89tavKvGlNvbrfeEVamK170P3i1TsTYdcC8/jT/8Evw3X8Rt\n3hx0PIkhFRwRkQrE/VoUWlC8phBv8Ehs/wOCjhQVVjcNb8BVeMNvh30b4h69F3/0YNxnHwUdTWJE\nBUdEpIJwv60NPcSv4Ce8K0ZgzQ4OOlLUWeNmeNeNw7t0GJRswr9zNJvvHIX78fugo0mUqeCIiFQA\n7vff8CeNhFU/4g26ETvo0KAjxYyZYa2OwRszGTt7AHy9DH/0YPxHpuB+LQo6nkSJFhmLiCQ4V/w7\n/p2j4Idv8S4bhrU4MuhIgbDkSliXHrhjOuGefwL35gLcBwtDi5A7n4ZVqhx0RIkgzeCIiCQwt6EY\n/64x8O1XeAOHYC3bBB0pcFazFl6fgXij7oEDDsHNnYU/YhDuw3eoANszVhgqOCIiCcpt3IA/eSws\n/wK78Fqs1TFBRypXbN+GJF1xE97VY6BqCv60W/EnXI/75sugo0kEqOCIiCQgt2kT/r258MVSLGcw\nXpv2QUcqt6zFEXg3TcLOvxx+XoU/7jr86RNxBT8HHU32gtbgiIgkGFdSgn/frfDZR1i/QXjtOgUd\nqdwzLwlr3wXX5jjci3NxrzyD+/hfoU08T+6JVU0JOqKESTM4IiIJxG3ejJs+EZa8j/UZiNfhpKAj\nxRWrWg3vjH54t9yLHXkM7oUnQw8KfPsVnK8HBcYTFRwRkQTh/M24B+/EfbQIO7s/XqdTg44Utyxt\nH7yLrsUbeiuk18c9dA/+zdfg/vvvoKNJGangiIgkAOf7uIen4N57E+txHl6XM4KOlBCsaXO86ydg\nA4fA+t/wb7+Jzffcglv1Q9DRZDdUcERE4pxzDvf4fbh3XsVOPQevW6+gIyUUM8Nr0x7v5inYmRfA\nsk/xR12B/8T9uHW/Bh1P/oQWGYuIxDHnHO7JB3BvLsBOOgPrfm7QkRKWVaqMndITd2wn3LOP415/\nAfevN7DTzsFO6IolVwo6omxHMzgiInHKOYeb9zAu79nQk3h75mBmQcdKeFarLl6/y/BG3gn7HYCb\nPQN/5OW4T97TgwLLERUcEZE45Z6fjXtxDtbhZOycC1VuYswyG+NdNQpv8EhISsafMg5/4nBKVv0Y\ndDRBBUdEJC75L87FPfcY1q4z1vcSlZuAmBl22N/wRt6FnXsJ/N//KLr5Wtzv64KOVuGp4IiIxBk/\n71nc07OwozpgF1yOefpPedAsKQmvY1e8QTey+acf8e+/Tc/NCZj+VIiIxBH/zQW42TOg1f+zd9/h\nUVX5H8ffZ1Lo6aEGlCoiIGAoIhDAWBYsURCRBY3YG4plF1REF11ZEVGkuhTR3xZk1airLm7EDYKF\nLiBILyJieiCQEJI5vz9Gs2ZpA8nMzSSf1/P4PJk7Z+798HUMX++9556emJGjMa4gpyPJr5g27al3\nx4bHhTIAACAASURBVCOwcQ32nTecjlOtqcEREQkQ7mX/xv5lFnTsiuuORzBBam4qo9pXJGH6/ga7\n+F3cX33mdJxqSw2OiEgAcH/1H+wb06BdZ1x3/15Tkis5c+Md0KY9dsE0rU7ukErT4Kxbt44HH3yQ\nBx54gJSUlOPet9Yyb948HnjgAR599FF27tzpQEoREf+zq5Zh570MbdrjuvdxTEio05HkNExwMK67\nfw/hkbhn/BGbm+10pGqnUjQ4brebuXPn8vjjjzNlyhSWL1/Ovn1lH4O9du1aDhw4wNSpU7nzzjuZ\nM2eOQ2lFRPzHrvsa95zJ0PI8XPc/ialRw+lI4iVTLxzX/U9AwRFPk3OsyOlI1UqlaHC2b99Ow4YN\nadCgAcHBwfTs2ZOVK1eWGbNq1Sr69OmDMYY2bdpw+PBhcnJyHEosIuJ7duNq3LP/BM1a4ho1HlOz\nltOR5AyZuOa4Rj4Eu7Z61grTgwD9plI0ONnZ2URHR5e+jo6OJjs7+7gxMTExpxwjIlJV2M3f4J7x\nPDRuhuvBpzG1ajsdSc6S6dITc/VQ7JdLsP9+z+k41UaVXIsqNTWV1NRUACZOnMjMmTMr/Bgulwu3\n213h+w00qoNqAKoBVGwNSjIOUJC2GFedetRqcwnmjTcrZL/+oO/CiWtgreXokRCK//gcNZetJLhR\nnEPp/MOX34MJEyZ4Na5cDU5KSgpJSUnl2QUAUVFRZGVllb7OysoiKirquDGZmZmnHPOLxMREEhMT\nS1/fc8895c74v2JiYsrkqa5UB9UAVAOouBrYHd/hnjIeenbG9dgfMWGRFZDOf/RdOHkN7MhbcU/8\nHeTsxHXffZgGjR1I5x+V4XtQrktUmzdvrpAQLVu25McffyQ9PZ3i4mK++OIL4uPjy4yJj49n6dKl\nWGvZunUrtWvXJjIysP7DFxE5FbtnO+5XnoGwcFwPPxtwzY2cmqlZC9d9T4DLhXvas9gjh52OVKWV\n6wzO2LFjKyREUFAQI0eO5LnnnsPtdtOvXz+aNm3KJ598AsDll19O586dWbNmDaNGjSI0NJR77723\nQo4tIlIZ2H27PGduatfB9chzmMjo039IAo6JbYjr7jG4pzyFe85kXPc/oadR+4jXDY7b7Wbr1q3k\n5OQQGRlJmzZtcFXg+iddunShS5cuZbZdfvnlpT8bY7j99tsr7HgiIpWF/fF73C89BSGhuB55FhMd\n63Qk8SFzXgfMjXdg/zoL++7/YQbd4nSkKsmrBmfPnj1MmjSJY8eOERUVRXZ2NiEhITz66KOce+65\nPo4oIlJ12Z/24548DozxNDexDZ2OJH5g+v4G9u3G/utt3HHn4uqe4HSkKserBmfmzJlcccUVXHXV\nVRhjsNby4YcfMnPmTP70pz/5OqOISJVkMw7gnvwklBTjevSPmIZNnI4kfmKMgZvuwP64F7vgVWyD\nxphzWzsdq0rx6hrTjz/+yMCBAz3/QvD8ixkwYAAHDhzwaTgRkarKZmd4mpujhbgenoBp0szpSOJn\nJjgE191joF447ul/xObp4bUVyasGp3PnzqxatarMtlWrVtG5c2efhBIRqcpsbranuTmSj2v0M5im\nzZ2OJA4xYRGemVVH8nHPfB577JjTkaoMry5Rud1uXn75ZVq0aEF0dDRZWVns3LmT+Ph4pk2bVjru\n/vvv91lQEZGqwB7Mxf3SOMjL9TQ3uixR7ZlmLXDd+iDu2S9g/zIDbhlVesVEzp5XDU7Tpk1p2rRp\n6eu4uDguvPBCn4USEamKbP5BT3OT9ZNn+YWWbZ2OJJWEie+F+WEP9p8LIa45JvEapyMFPK8anBtu\nuMHXOUREqjR7JN/znJuf9uN6YBymTXunI0klY66+CbtvD3bRPGzjZph2nZyOFNC8fpBNcXExe/fu\nZePGjWX+ERGRU7MFR3C//DT8sAfXvWP1F5eckHG5cN32EDSM81yuSt/vdKSA5tUZnO+++46XXnqJ\nY8eOUVBQQK1atSgsLCQ6OrrMPTgiIlKWPVqIe+ofYO8OXHf9HtMh/vQfkmrL1KyN6/4ncT/3CO5p\nz+EaO0kryZ8lr87gLFiwgGuuuYb58+dTq1Yt5s+fz6BBg8o8aVhERMqyRUdxT3sWdnyHue0RTOce\nTkeSAGBiG+K663fw0w+4576Erears58trxqc/fv3M2DAgDLbkpKS+PDDD30SSkQk0Nljx3DPfB62\nbMCMfBBX115OR5IAYs6/EHPj7fDNCux7f3E6TkDyqsGpXbs2BQUFAERERLBv3z7y8/MpLCz0aTgR\nkUBki4/hnv0n2LgGM+I+XD36OR1JApDpNxDT+3LsR4twr/zc6TgBx6t7cLp3787atWvp1asX/fr1\n45lnniEoKIgePXS6VUTk12xJCe45k+GbFZhhd+PqrUv5cnaMMTDsLuyP32NffwVbvzHmnJZOxwoY\nXjU4ycnJpT9fc801tGnThoKCAj0LR0TkV6y7BDvvZVj9BWbIbbj6DTj9h0ROwQSH4LpnjOem4+nP\n4XpyMiYs0ulYAcHraeK/1rZtWzp37ozLdVYfFxGpcqzbjX1jGnZFGua6Ebguu9bpSFJFmLBIXPc+\nAYcP4p45Ucs5eEkdiohIOVlrOfTaZOzyTzFXDcU1QA9HlYplzmmJSX4Qtm/G/m021lqnI1V6Xl2i\nEhGRk7MfLaJg8buYKwdhrrnJ6ThSRbm69sa9bzf2o0UQdy6m/1VOR6rUdAZHRKQc7K6t2Pf/So1e\niZjrb9YiieJT5trfwoXdsAvnYDd/43ScSk0NjojIWbKFBZ4ZUxHRhN39mJob8TnPcg4PQ4MmnuUc\nMg44HanSKleD8/zzz1dUDhGRgGMXzYOMA7hGjsZVp57TcaSaMLU8yzlgLe5pz2ILjzgdqVIqV4PT\ntm3bisohIhJQ7LqvsEsXY664HnOeVgYX/zL1G3mWcziwD/fcKVrO4QTK1eBcd911FZVDRCRg2Lwc\n3AumQbMWmGuHOR1HqinTrhPmhpGw7mvs+391Ok6l41WD88ILL/Dll19SVFTk6zwiIpWatRb361Ph\naCGu2x/BBIc4HUmqMXPp1ZhLLsV++BZ21TKn41QqXjU47dq14/333+eOO+5g2rRprFu3DrdOh4lI\nNWT/8xFsXI254VZMo6ZOx5FqzhiD+e290LIt7vmvYPfudDpSpeFVg3PVVVfx/PPPM3HiRBo0aMCC\nBQu46667mDdvnq/ziYhUGvbH77GL5kP7izB9tQyDVA4mJATXPWOhTj3c05/DHsx1OlKlcEb34DRq\n1IgbbriBBx98kHPOOYfFixf7KpeISKVii495poTXqIkreZSmhEulYsIjcd33OBzKwz1rIrZYyzl4\n/STjAwcOsHz5cpYvX87Bgwfp0aMHgwcP9mU2EZFKw773V9i7E9d9T2DCtdihVD7mnFaYWx7AzpmM\n/dtrMPzeat2Ie9XgjB07lv379xMfH8+IESPo2LEjQUFBvs4mIlIp2C0bsYvfwfS5AtOpu9NxRE7K\n1T0B9w+7sR+/DXHNMdV4RXuvGpyrr76a+Ph4QkNDKzxAfn4+U6ZMISMjg9jYWEaPHk3dunWPGzdj\nxgzWrFlDeHg4kydPrvAcIiInYo/k4573EsQ2wgy5zek4IqdlkoZj9+3BLvwztnFTzHkdnI7kCK/u\nwenZsydHjx5l6dKlvPfeewBkZ2eTlZVV7gApKSl06NCBqVOn0qFDB1JSUk44rm/fvjz++OPlPp6I\nyJmwf5kNudm4bn8YU6Om03FETsu4gnDd/gjENvLcj1NNl3PwqsHZtGkTDz30EJ9//jlvv/024Lkn\n589//nO5A6xcuZKEhAQAEhISWLly5QnHtWvX7oRndkREfMX9dRp2RRrm6pswzds4HUfEa6Z2Hc9y\nDm63Z2ZVYYHTkfzOqwbn9ddf56GHHuKJJ54ovfemVatW7Nixo9wB8vLyiIz03LAXERFBXl5eufcp\nIlJeNisd+5dZ0LIt5jeaUCGBxzRojOvO38H+73HPq37LOXh1D05GRgYdOpS9hhccHExJSYlXB5kw\nYQK5ucfPyx86dGiZ18aYCrnjOzU1ldTUVAAmTpxITExMuff5v4KDg32y30CjOqgGUPVqYEtKyHl5\nPBZL9GPPEtSgwWk/U9VqcLZUh0pWg4TLOJyXRf78qdRa8j51h97ul8NWhhp41eDExcWxbt06OnXq\nVLptw4YNNGvWzKuDjBs37qTvhYeHk5OTQ2RkJDk5OYSFhXm1z1NJTEwkMTGx9HVmZma59/m/YmJi\nfLLfQKM6qAZQ9Wrg/tfb2G/XYm59kJygUPDiz1bVanC2VIfKVwN78aWY7zZyeOE8CiLrYy7q6fNj\n+rIGjRs39mqcV5eoRowYwauvvsq0adMoKiritddeY8aMGQwfPrxcIQHi4+NJS0sDIC0tja5du5Z7\nnyIiZ8vu2YFN+Qtc1BNzcX+n44iUmzEGM+JeaN7Gc6nq+11OR/ILrxqcNm3aMGnSJJo2bUq/fv2o\nX78+f/zjH2nVqlW5AyQlJbF+/XpGjRrFhg0bSEpKAjyztJ5//vnScS+//DJPPvkk+/fv5+6772bJ\nkiXlPraIyK/Zo0c9TyuuF4ZrxH3V+iFpUrWYkFBc9z4Otet4bjo+VPXvdzXWWnuqAW63mz/84Q88\n8cQThIQE5qq5+/fvr/B9VrZTkE5RHVQDqDo1cP91Fvazj3CN/gOmXafTf+BXqkoNykt1qNw1sLu2\n4X5hDLQ4z/M9D/Z6QYMzEhCXqFwuF+np6ZymDxIRCWh2wyrsZx9hEq894+ZGJFCY5q0xtzwAWzdi\nF5b/US+VmVeXqAYPHsyf//xnMjIycLvdZf4REQl09lAe7tenQpNzMNePcDqOiE+5evTFXHEd9j8f\n4/7Px07H8Rmvzk3Nnj0bgKVLlx733sKFCys2kYiIH1lrcS94FY4c9pyyD6n4JWlEKhtz/c3YH/Zi\n//4atlFTzHntnY5U4bxqcKZNm+brHCIijrCffwLfrMDceBsm7lyn44j4hXEF4brjEdzPP4Z71kRc\nT0zGxJz+eU+BxKtLVLGxscTGxhITE0ONGjWIiYkp3SYiEqjsT/uxC+fA+Rdi+l/tdBwRvzK16+K6\n7wkoKfHMrDpa6HSkCuXVGZzDhw8zb948vvzyS0pKSggODqZHjx7ceuutWh9KRAKSLS72TAkPCcV1\n60MYl1f/vydSpZiGcbjufBT31Am457+M667fV5nHI3j1X/SMGTMoKirihRde4I033uBPf/oTx44d\nY8aMGb7OJyLiE/bDhbB7G64R92Iio52OI+IY0/4izKBbYPUXnv8uqgivGpyNGzfywAMPEBcXR40a\nNYiLi+O+++5j06ZNvs4nIlLh7PZN2A8XYXpeirnoEqfjiDjOXJ6E6dEX+95fsWu+dDpOhfCqwWnS\npAnp6elltmVmZnr9sB0RkcrCFhzBPXcKRMdiht7hdByRSsEYg7n5/v8u57Bvt9ORys2re3Dat2/P\nc889R+/evUufTvj555/Tp0+fMksm9O+vdVtEpHKzf/8zZGXg+t3zmFq1nY4jUml4lnMYi/vZR3BP\nfw7X45Mx9cq/ALZTvDqDs23bNho2bMi2bdv48ssvS19v3bqVzz//vPQfEZHKzK5ejv3iU8zAGzCt\nznc6jkilYyKicd07FnKzcc/+E7a42OlIZ82rMzjjx4/3dQ4REZ+yOVm435gOzdtgBt7odByRSsu0\nOA8z4j7s/Jexb83BDLvb6UhnxTerbImIVCLW7cY9/2UoPobrtod9tsCgSFXh6tkf975d2H+/hzuu\nOa4+Vzgd6YzpwQ8iUuXZTz+Azd9gbrwd00CTI0S8YQYlwwWdsX+djd0WeLOm1eCISJVm9+3GvrMA\nOnXH9L7c6TgiAcMEBeG64zGIro975vPYrAynI50RNTgiUmXZY0WepxXXrovr5vurzBNaRfzF1KmL\n6/4nofgY7unPBtRyDl41OPv27SM3NxeAwsJC3nrrLRYtWsTRo0d9Gk5EpDzsO2/CD3twJT+IqRfu\ndByRgGQaxeG641HYtxs7/xWstU5H8opXDc4rr7zCkSNHAHjjjTfYvHkz27Zt47XXXvNpOBGRs2U3\nrcOmvofpNxDT4SKn44gENNMhHnP9zZ5HLXy0yOk4XvFqKkF6ejqNGzfGWsuKFSt46aWXCA0N5f77\n7/d1PhGRM2bzD3pmTTVqihmc7HQckSrBXHG95yxOyv9hm5yD6dTd6Uin5NUZnNDQUAoKCti+fTsx\nMTGEhYUREhLCsWPHfJ1PROSMWGtxvzkDDh3EdfvDmNAaTkcSqRJKl3M4pxXuOS9hf9jrdKRT8qrB\nueSSS/jDH/7A9OnT6du3LwC7du2ifv36vswmInLG7JdLYM0XmKTfYpq1dDqOSJViQmvguvdxqFHD\nc9Nx/kGnI52UV5eokpOT+eabbwgKCqJ9+/aAp5O75ZZbfBpORORM2IwD2L++Bm3aYy5PcjqOSJVk\nomJw3fs47hcfx/3aJFwPPo0JCnI61nG8OoOzYsUKLrjggtLmBqBly5ZlXouIOMmWlOCe+xK4XLhG\njsa4Kt8vXJGqwrRsixl+L2z+BrtontNxTsirBmfRokXccccdzJo1i40bN/o6k4jIGbMf/wN2fIf5\n7d2Y6Fin44hUea5LEjGJ12A//QD35584Hec4Xl2imjRpEvv27WPZsmXMnj2bY8eO0bNnT3r16kWL\nFi18nVFE5JTsrq3YD/6G6ZaAq3uC03FEqg0z+Fbs/r3Yv8zCNorDtGrndKRSXj/JOC4ujqFDh/Lq\nq6/y8MMPs3fvXsaOHevLbCIip2ULCzxPK46Ixvz2LqfjiFQrJigI152PQVQM7hnPY7Mrz3IOZ7RU\nQ2ZmJu+//z5z5sxhx44d9OvXz1e5RES8Yt+aCxkHPPfd1K7rdByRasfUqedZzuFYEe7pf8RWklUO\nvLpEtXjxYpYtW8aePXvo3LkzgwcPpkuXLgQHe/XxU8rPz2fKlClkZGQQGxvL6NGjqVu37C+pzMxM\npk+fTm5uLsYYEhMTGTBgQLmPLSKBza77Cvv5J5grB2HO06QHEaeYxs1w3f6oZ+r4gqnYsROdjuRd\ng7NmzRouu+wyunXrRs2aNSs0QEpKCh06dCApKYmUlBRSUlIYPnx4mTFBQUGMGDGCFi1aUFBQwJgx\nY+jYsSNxcXEVmkVEAofNy8G9YBo0a4G5dpjTcUSqPXNhV0zScOy7b3LknTchwdkTEV5doho7dix9\n+vSp8OYGYOXKlSQkeG4KTEhIYOXKlceNiYyMLL2ZuVatWjRp0oTs7OwKzyIigcFai/v1V+BoIa7b\nH8EEhzgdSUQA85vBmK69cR/MdXxRzvJfYyqnvLw8IiMjAYiIiCAvL++U49PT09m1axetWrXyRzwR\nqYTsfz6CjWsww+7GNGrqdBwR+ZkxBm5/mHr1G3A0M9PRLH5pcCZMmEBubu5x24cOHVrmtTHGU5yT\nKCwsZPLkySQnJ1O7du2TjktNTSU1NRWAiRMnEhMTc5bJTy44ONgn+w00qoNqAP6tQfH3u8n6x3xC\nu1xMxOARp/yd4U/6HnioDqoBVI4a+KXBGTdu3EnfCw8PJycnh8jISHJycggLCzvhuOLiYiZPnkzv\n3r3p3v3UK5gmJiaSmJhY+jrTB11kTEyMT/YbaFQH1QD8VwNbfAz3i09CaE2Kh91NVlaWz4/pLX0P\nPFQH1QB8W4PGjRt7Ne6Mpon7Qnx8PGlpaQCkpaXRtWvX48ZYa5k1axZNmjThqquu8ndEEakk7Ht/\nhb07cd3yACY80uk4IlKJeXUGJz09nb/97W/s3r2bwsLCMu/NnDmzXAGSkpKYMmUKS5YsKZ0mDpCd\nnc3s2bMZO3YsW7ZsYenSpTRr1ozHHnsMgJtuuokuXbqU69giEjjslg3Yxe9g+lyB6XTqs7giIl41\nOK+88goNGjTg5ptvpkaNGhUaoF69ejz11FPHbY+Kiip9UnLbtm156623KvS4IhI47JF83POmQGwj\nzJDbnI4jIgHAqwZn3759TJgwAZfL8StaIlIN2b/MhtxsXGMmYWpU/OMqRKTq8apjOf/889m9e7eP\no4iIHM/9dRp2RRrm6pswzVs7HUdEAoRXZ3BiY2N57rnn6NatGxEREWXeu/HGG30STETEZqVj/zIL\nWp2PGTDY6TgiEkC8anCOHj3KRRddRElJSaWalikiVZd1l+Ce9zJYt2chTVeQ05FEJIB41eDce++9\nvs4hIlKGXZwCWzdibn0QE9vQ6TgiEmBO2uCkp6dTv359AH766aeT7qBBgwYVn0pEqjW7Zwf2vb9g\nLroEc3F/p+OISAA6aYPz6KOP8sYbbwAwatSok+5g4cKFFZ9KRKote/Qo7jmToV4YZsS9lWYpBhEJ\nLCdtcH5pbkBNjIj4j317PhzYh2v0HzB16jkdR0QClB5sIyKVht2wCvvZR5jLrsW06+R0HBEJYF7d\nZFxSUsLixYvZtGkThw4dKvPeM88845NgIlK92IO5uF+fCk3OwVw3wuk4IhLgvDqDs2DBAlJTU2nX\nrh07d+6ke/fu5OXlccEFF/g6n4hUA9Za3G9MgyOHcd3+CCYk1OlIIhLgvGpwvv76ax5//HEGDBhA\nUFAQAwYM4LHHHuPbb7/1dT4RqQbs55/ANyswg27GxJ3rdBwRqQK8anCKioqIjo4GIDQ0lKNHj9Kk\nSRMt3yAi5WYP/IBdOAfOvxDT/2qn44hIFeHVPThNmjRhx44dtGrVihYtWrBo0SJq1apFVFSUr/OJ\nSBVmi4txz30JQkJxjXwIowV9RaSCePXbJDk5uXQl8VtuuYVdu3axevVq7rzzTp+GE5GqzX64EHZv\nwzXiXkxEtNNxRKQK8eoMTqtWrUp/btSoEePGjfNZIBGpHuz2TdgPF2F6Xoq56BKn44hIFeNVg7Nx\n48YTfzg4mOjoaGJjYys0lIhUbbbgCO65UyCmPuamO5yOIyJVkFcNzsyZM8nJyQGgXr16pc/CCQ8P\nJzc3l2bNmvHQQw/RqFEj3yUVkSrD/u01yMrA9bvnMTVrOx1HRKogrxqc/v37c+TIEW688UZCQ0Mp\nKirirbfeonbt2gwYMIA33niDOXPm6NKViJyWXbUM++USzFVDMa3OdzqOiFRRXt1k/NFHHzFs2DBC\nQz0P3woNDWXo0KF8+OGH1KxZk5tvvpmdO3f6NKiIBD6bk4X7zRnQvA1m4BCn44hIFeZVg1OzZk12\n7NhRZtvOnTupUaOGZyea2ikip2HdbtzzX4aSYly3PYwJ9uoEsojIWfHqN8yQIUN49tlniY+PJzo6\nmqysLFavXs3IkSMB2LBhA927d/dpUBEJbPbTD2DzN5ib78c0aOx0HBGp4rxqcBISEmjZsiVfffUV\nOTk5NG7cmOuvv564uDgALrroIi666CKfBhWRwGX37ca+swA6dcf0uszpOCJSDXh9jjguLo7Bgwf7\nMouIVEH2WBHuOZOhTj1cN9+PMcbpSCJSDejmGRHxKfvOm/DDHlzJozD1wp2OIyLVhBocEfEZu2kt\nNvU9TL+BmPa6jC0i/qMGR0R8wuYfxD3/FWjUFDM42ek4IlLNnFGDk5mZydatW32VRUSqCGut53k3\nhw7iuv1hTGgNpyOJSDXj1U3GmZmZvPLKK+zevRuAN998k6+++op169Zx9913lytAfn4+U6ZMISMj\ng9jYWEaPHk3dunXLjCkqKmL8+PEUFxdTUlJCjx49GDJEDwkTqazsF0tgzReYQbdgmrV0Oo6IVENe\nncF57bXX6Ny5MwsWLCD454dzdezYkfXr15c7QEpKCh06dGDq1Kl06NCBlJSU48aEhIQwfvx4Jk2a\nxAsvvMC6det0JkmkkrIZBzxrTZ3XAXN5ktNxRKSa8qrB2b59O0lJSWWeWFy7dm2OHDlS7gArV64k\nISEB8DxvZ+XKlceNMcZQs2ZNAEpKSigpKdFUU5FKyJaU4J77ErhcuG59COMKcjqSiFRTXl2iCg8P\n58CBAzRu/N+nj+7bt4+YmJhyB8jLyyMyMhKAiIgI8vLyTjjO7Xbz+9//ngMHDnDFFVfQunXrch9b\nRCqW/XgR7PgOc/sjmOhYp+OISDXmVYNz9dVX86c//YmkpCTcbjfLli3j3XffJSnJu9PPEyZMIDc3\n97jtQ4cOLfPaGHPSMzMul4tJkyZx+PBhXnzxRfbu3UuzZs1OODY1NZXU1FQAJk6cWCGN2P8KDg72\nyX4DjeqgGoCnBuHZ6WR/sJCafS4nfOAgpyP5nb4HHqqDagCVowZeNTj9+/enXr16pKamEh0dTVpa\nGjfeeCPdunXz6iDjxo076Xvh4eHk5OQQGRlJTk4OYWFhp9xXnTp1uOCCC1i3bt1JG5zExEQSExNL\nX2dmZnqV80zExMT4ZL+BRnVQDQCi6tQme/I4iIiiaFBytayHvgceqoNqAL6twa+vJp2K10s1dO3a\nla5du551oJOJj48nLS2NpKQk0tLSTniMgwcPEhQURJ06dSgqKmL9+vVce+21FZ5FRM5O/vypkHEA\n16PPYWrXPf0HRER87KQNzpIlS7zaQf/+/csVICkpiSlTprBkyZLSaeIA2dnZzJ49m7Fjx5KTk8P0\n6dNxu91Ya7n44ou1uKdIJWCPFWGXp1Lw7/cxvxmEadPe6UgiIsApGpzPP/+89GdrLVu2bCEiIoLo\n6GiysrLIzc2lbdu25W5w6tWrx1NPPXXc9qioKMaOHQvAOeecwwsvvFCu44hIxbAlJbBlPfbrpdi1\nX0LBEULaXEDJNcOcjiYiUuqkDc748eNLf543bx5du3Zl4MCBpds++ugjDhw44Nt0IlIpWGth5xbs\niqXYVcvgYC7Uqo3pfDGmex8iL+lHVs7xEwlERJzi1T04n3/+OXPnzi2z7corr+S2225j5MiRPgkm\nIs6zP+zFrkjDrlgKmT9BcAh07Iqrex/oEI8JCQXABHl9O5+IiF949VspIiKCVatWlZk1tWrVswfE\n7AAAIABJREFUqtPOeBKRwGOz0rErPseuSIN9u8G44PwLMVcPxXTqgaldx+mIIiKn5VWDc+uttzJ5\n8mTef/99oqOjyczMZN++fTz88MO+zicifmAP5WFXLfc0Nds3eza2bIu56U5M/CWYsEhnA4qInCGv\nGpyOHTvy6quvsm7dOrKzs+nSpQtdunShXr16vs4nIj5iC49g137taWo2rQO3G5qcg7luBKZrb0xs\nQ6cjioicNa8vnIeFhdGnTx9fZhERH7PHimDDas/NwutXwrEiiK6PueJ6TLc+mLhznY4oIlIhvGpw\nnnrqqZMuofDMM89UaCARqVjWXQLfbfA0NWu+hILDUC8c0+syTPcEaHGeFq8VkSrH66Uafi03N5fP\nPvuM3r17+ySUiJSPtRZ2bf3vtO68HKhZ6+dp3QnQtiMmSCt9i0jV5VWD07dv3+O29ejRgxkzZjB4\n8OCKziQiZ8nu3+tpalYshYwDP0/rjsfVLQE6XIQJreF0RBERvzjrh1dERUWxZ8+eiswiImfBZmVg\nVy7Ffr0U9u36eVp3R8zAGzGdNa1bRKonrxqc/12XqqioiK+//po2bdr4JJSInJo9lIddvdzT1Gzf\n5NnY4jzM0J+ndYdrWreIVG9eP8n412rUqMF5551XZukGEfEtW3gEu+5rT1Ozaa1nWnejppik4Z4Z\nUJrWLSJSyqsG59frUomI/9hjx+Db1Z6FLdevgKIiiIrFXH4dpnsfaHKuZkCJiJyA108ynj9//nHb\nb7/9dubMmVPhoUSqM+sugS0bf57W/QUcOQx1wzA9Ez1NTYu2GJfL6ZgiIpWaVw1OSUnJcduKi4tx\nu90VHkikOrLWwu5tnqZm5TLIy4YatTBdemC69YG2F2KCtaCliIi3Tvkb85cH/B07duy4y1RZWVm6\nyViknOyP33uamq/Tfp7WHQwd4nF16wMdu2pat4jIWTplg/PLA/62b99Ov379SrcbYwgPD6d9+/a+\nTSdSBdnsDOzKzz1Nzfc/T+tu2wEz4AZMl4sxtes6HVFEJOCdssH55QF/rVu3pkmTJv7II1Il2UMH\nPdO6V6TBtp+ndTdvg7nxdkx8L0xElLMBRUSqmJM2OEuXLi1dXHPLli1s2bLlhOP+dxkHEfGwhQWe\nad0rfp7WXVLimdZ97W8907rrN3I6oohIlXXSBmf58uWlDc7/Pgfn19TgiPyXZ1r3Gs99Nd98/d9p\n3YnXetaAitO0bhERfzhpgzN27NjSn/UcHJGTsyUl2O/We5qa1ct/Na37Uky3BGipad0iIv52RvNO\n8/LyKCwsLLOtQYMGFRpIJJC4F79L5qcf4M7J9Ezr7tzd09Scr2ndIiJO8uo38Lp165g5cya5ubnH\nvbdw4cIKDyUSCOyWjdh/zCe4fRfsDSMxHbtiamhat4hIZeBVgzN37lwGDRpE3759CQ0N9XUmkUrP\nuktwvzUHomKIfPJFsg7lOx1JRER+xasbA/Lz87nsssvU3Ij8zC7/FPbuxAxKxtSo6XQcERH5H141\nOP379+ezzz7zdRaRgGALjmDffdNz83DX3k7HERGRE/DqEtW2bdv4+OOPee+994iIiCjz3jPPPOOT\nYCKVlf1oERzKw/XAU5ryLSJSSXnV4PTv399nz7vJz89nypQpZGRkEBsby+jRo6lb98SPqne73YwZ\nM4aoqCjGjBnjkzwip2LTf8Smvoe5uB+meWun44iIyEl41eD8smSDL6SkpNChQweSkpJISUkhJSWF\n4cOHn3DsRx99RJMmTSgoKPBZHpFTcf9jPgQFY66/2ekoIiJyCl41OEuWLDnh9pCQEKKjo2ndujUh\nISFnFWDlypU8/fTTACQkJPD000+fsMHJyspizZo1XH/99fzzn/88q2OJlIf9bj2s/QqTNBwTEe10\nHBEROQWvGpylS5eydetWwsPDiY6OJisri7y8PFq2bEl6ejoAv/vd72jZsuUZB8jLyyMyMhKAiIgI\n8vLyTjju9ddfZ/jw4Tp7I46w7hLcC+dCdH3MZdc6HUdERE7DqwYnLi6Obt26MWDAgNJt//rXv/jh\nhx/4wx/+wDvvvMO8efN47rnnTvj5CRMmnPAhgUOHDi3z2hhzwps2V69eTXh4OC1atODbb789bd7U\n1FRSU1MBmDhxIjExMaf9zJkKDg72yX4DTXWpw5FPUji0bxfhj06gZuMmZd6rLjU4FdVANfiF6qAa\nQOWogVcNzvLly5k7d26ZbZdffjm33XYbt912G9dccw3vv//+ST8/bty4k74XHh5OTk4OkZGR5OTk\nEBYWdtyYLVu2sGrVKtauXUtRUREFBQVMnTqVUaNGnXCfiYmJJCYmlr7OzMw83R/xjMXExPhkv4Gm\nOtTBHjmM+/9mQ6t2HGrTkfz/+fNWhxqcjmqgGvxCdVANwLc1aNy4sVfjvGpwwsPDWb16NV27di3d\ntmbNmtJm5NixYwSf5bo78fHxpKWlkZSURFpaWplj/GLYsGEMGzYMgG+//ZYPPvjgpM2NSEWzH74F\n+QdxPThe08JFRAKEV13JrbfeyksvvUSzZs1K78HZu3cvDz/8MOB5Ts6VV155VgGSkpKYMmUKS5Ys\nKZ0mDpCdnc3s2bPLrGou4m/2p/3YTz/A9OyPOaeV03FERMRLxlprvRl46NAh1q5dS3Z2NpGRkXTp\n0oV69er5Ol+F2L9/f4XvU6cgPap6HUqmPweb1+N6diYmIuqEY6p6DbyhGqgGv1AdVAMIoEtUAPXq\n1aNPnz5nHUgk0NjN38C6rzHXjThpcyMiIpWTVw1OSUkJixcvZtOmTRw6dKjMe1qqQaoiW1KCe+Ec\niGmgaeEiIgHIq8U2FyxYQGpqKu3atWPnzp10796dvLw8LrjgAl/nE3GE/fwT+GEPrsG3YkJCnY4j\nIiJnyKsG5+uvv+bxxx9nwIABBAUFMWDAAB577DGvnkkjEmjskXzse3+BNhdAl4udjiMiImfBqwan\nqKiI6GjPo+lDQ0M5evQoTZo0Yffu3b7MJuII+8FCOHwI1423a1q4iEiA8uoenCZNmrBjxw5atWpF\nixYtWLRoEbVq1SIqSjdeStViD/yA/eyfmF6XYZqd+dIjIiJSOXh1Bic5ORmXyzP0lltuYdeuXaxe\nvZo777zTp+FE/M29aB6EhGKSfut0FBERKQevzuC0avXfB5w1atTolEsviAQq++1aWL8SM+gWTFik\n03FERKQcvH4OTkZGBnv27KGwsLDM9l69elV4KBF/syUluN+aC7ENMZde43QcEREpJ68anHfffZe3\n336buLg4QkP/O2XWGKMGR6oEu/RfsH8vrnvGYkJCnI4jIiLl5FWD889//pOJEycSFxfn6zwifmcP\n52Pf+yuc1wE693A6joiIVACvbjKuW7cusbGxvs4i4gj7wd/gyGFNCxcRqUK8OoOTnJzM7NmzGThw\nIOHh4WXei4mJ8UkwEX+wP+7D/ucjTO/LME2bOx1HREQqiFcNTnFxMevXr2f58uXHvbdw4cIKDyXi\nL+5F8yC0BuZaTQsXEalKvGpw5syZw0033cQll1xS5iZjkUBmN66GDaswg2/FhEU4HUdERCqQVw2O\n2+2mX79+pQ/7Ewl0trgY98K5UL8R5tKrnI4jIiIVzKuO5eqrryYlJQVrra/ziPiFTfsXHNiH64aR\nmGBNCxcRqWq8OoPz8ccfk5uby7vvvkvdunXLvDdz5kyfBBPxFZt/EPv+X+H8C+HCbk7HERERH/Cq\nwXnggQd8nUPEb+z7f4OCI7iG3KZp4SIiVZRXDU67du18nUPEL+z+vdi0jzEJV2DiznU6joiI+Iju\nGpZqw1rrWW+qRi3MNcOcjiMiIj6kBkeqjw2r4Nu1mKuHYuqFn368iIgELDU4Ui3Y4mLcb82DBk0w\n/QY4HUdERHxMDY5UC/Y/H8JPP2hauIhINeHVTcb5+fm8//777Nmzh8LCwjLvPfPMMz4JJlJR7KGD\n2A/+Du06Q8d4p+OIiIgfeNXgvPLKKxQXF3PxxRdrqQYJOPb9v0JhgaaFi4hUI141OFu3bmXOnDmE\nhOjUvgQW+8MebNq/MH2vxDRp5nQcERHxE6/uwWnWrBlZWVm+ziJSoay1uBfOgVqaFi4iUt14dQan\nffv2/PGPf6Rv375ERJRddbl///7lCpCfn8+UKVPIyMggNjaW0aNHH7ccBMB9991HzZo1cblcBAUF\nMXHixHIdV6qB9Sth8zeYG2/H1A1zOo2IiPiRVw3Od999R3R0NBs2bDjuvfI2OCkpKXTo0IGkpCRS\nUlJISUlh+PDhJxw7fvx4wsL0F5Wcni0+5pkW3jAO01fTwkVEqhuvGpzx48f7LMDKlSt5+umnAUhI\nSODpp58+aYMj4i275ENI349r1HhMsFdfcxERqULO+De/tRZrbelrl6t8j9LJy8sjMjISgIiICPLy\n8k46dsKECbhcLi677DISExPLdVypuuyhPOw/F0L7LpgOFzkdR0REHOBVg5Odnc3cuXPZvHkzhw8f\nLvPewoULT/v5CRMmkJube9z2oUOHlnltjDnpNN4JEyYQFRVFXl4ezz77LI0bNz7pIqCpqamkpqYC\nMHHiRGJiYk6b8UwFBwf7ZL+BpjLW4eCieRQcLST6zkcJ9kO2ylgDf1MNVINfqA6qAVSOGnjV4Lz2\n2mvUqFGDp556ivHjx/PMM8+waNEiOnfu7NVBxo0bd9L3wsPDycnJITIykpycnJPeYxMVFVU6vmvX\nrmzfvv2kDU5iYmKZMzyZmZle5TwTMTExPtlvoKlsdbD7duH+9/uY/gPJrVUX/JCtstXACaqBavAL\n1UE1AN/WoHHjxl6N8+r60tatW7nnnns499xzMcZw7rnncs899/DPf/6zXCEB4uPjSUtLAyAtLY2u\nXbseN6awsJCCgoLSn9evX0+zZnqmiZTlmRY+F2rXwVw99PQfEBGRKsurMzi/TM0GqFOnDgcPHqRW\nrVpkZ2eXO0BSUhJTpkxhyZIlpdPEwXNZbPbs2YwdO5a8vDxefPFFAEpKSujVqxedOnUq97Gliln3\nNXy3HnPTnZg69ZxOIyIiDvKqwWnVqhVr166lW7duXHjhhUyZMoXQ0FBatmxZ7gD16tXjqaeeOm57\nVFQUY8eOBaBBgwZMmjSp3MeSqsseO4Z70Txo1BST8Bun44iIiMO8anAeeOCB0plTycnJfPDBBxQU\nFDBw4ECfhhPxll3yAWQcwPXg05ifzzaKiEj15VWDU6dOndKfQ0NDGTRokM8CiZwpezDHMy28Qzym\nfRen44iISCXgVYNz7Ngx/vGPf7B8+XIOHTrEggUL+Oabb/jxxx+58sorfZ1R5JRsyl/gWBGuISOd\njiIiIpWEV7OoFixYwPfff8+oUaNKn1PTtGlTPvnkE5+GEzkdu3cndtm/Mf0GYhrGOR1HREQqCa/O\n4KxYsYKpU6dSs2bN0gYnKiqqQmZRiZyt0tXC69TFXKVp4SIi8l9encEJDg7G7XaX2Xbw4EHq1dNU\nXHHQ2i9h60bMNb/F1Dl+BXoREam+vGpwevTowbRp00hPTwcgJyeHuXPn0rNnT5+GEzkZe6wI96L5\n0OQcTJ8rnI4jIiKVjFcNzrBhw6hfvz6PPPIIR44cYdSoUURGRnLDDTf4Op/ICdnU9yHzJ1xDRmpa\nuIiIHMere3CCg4NJTk4mOTm59NLUyRbFFPE1m5eD/XARXNgN08679dBERKR6OWWDc7KFsrKyskp/\ndnq1UKl+7LtvQvExXDdoWriIiJzYKRuc++6777Q7WLhwYYWFETkdu2cH9otPMZddi2ng3YqyIiJS\n/ZyywTnnnHMoKioiISGB3r17ExUV5a9cIsfxTAv/M9Sphxk4xOk4IiJSiZ2ywXnhhRfYu3cvaWlp\njBs3jri4OPr06UP37t0JDQ31V0YRj9XLYdsmzPB7MbU1LVxERE7utLOomjVrxogRI5g+fToDBw5k\n9erV3HnnnezcudMf+USAn6eF/+N1iDsX0/syp+OIiEgl59U0cYADBw6wadMmtm3bRvPmzalbV/8H\nLf5jP0mBrHRcQ27DuDQtXERETu2Ul6jy8/NZtmwZaWlpFBYW0rt3b5555hnNnBK/srlZ2I//AZ16\nYM6/0Ok4IiISAE7Z4Nx1113Ur1+f3r1706ZNG8BzJufAgQOlY9q3b+/bhFLt2Xf/D4qLcd1wq9NR\nREQkQJyywYmIiKCoqIhPP/2UTz/99Lj3jTFMmzbNZ+FE7O5tnmnhV1yHqd/I6TgiIhIgTtngTJ8+\n3V85RI5Tulp4vXDMwBudjiMiIgHE65uMRfzNrloG2zdjkoZjatV2Oo6IiAQQNThSKdmio9h/vA5x\nzTG9Ep2OIyIiAUYNjlRK9pN3ITsD19DbNS1cRETOmBocqXRsThb247ehy8WY8zo4HUdERAKQGhyp\ndOw7b4C7BNdgTQsXEZGzowZHKhW7cwv2q888q4XHNnQ6joiIBCg1OFJplE4LD4vADLjB6TgiIhLA\n1OBIpWFXLIWdWzDXjcDU1LRwERE5e6d80J8/5OfnM2XKFDIyMoiNjWX06NEnXMjz8OHDzJo1i++/\n/x5jDPfcc0/p8hES+OzRQuzbC6BZC0zPS52OIyIiAc7xBiclJYUOHTqQlJRESkoKKSkpDB8+/Lhx\n8+fPp1OnTjzyyCMUFxdz9OhRB9KKr9jF70JOJq7bH8G4dGJRRETKx/G/SVauXElCQgIACQkJrFy5\n8rgxR44cYfPmzfTv3x+A4OBg6tSp49ec4js2OwO7+G3MRZdg2lzgdBwREakCHD+Dk5eXR2RkJOBZ\n3DMvL++4Menp6YSFhTFjxgz27NlDixYtSE5OpmbNmv6OKz7gmRZuMYOTnY4iIiJVhF8anAkTJpCb\nm3vc9qFDh5Z5bYzBGHPcuJKSEnbt2sXIkSNp3bo18+fPJyUl5bjP/yI1NZXU1FQAJk6cSExMTAX8\nKcoKDg72yX4DTXnrULRlIzlfp1Fn0M3UbRuYZ2/0XVANQDX4heqgGkDlqIFfGpxx48ad9L3w8HBy\ncnKIjIwkJyeHsLCw48ZER0cTHR1N69atAejRowcpKSkn3WdiYiKJif9dvygzM7Mc6U8sJibGJ/sN\nNOWpg3W7cc9+EcIjKeg7kMIArae+C6oBqAa/UB1UA/BtDRo3buzVOMfvwYmPjyctLQ2AtLQ0unbt\netyYiIgIoqOj2b9/PwAbNmwgLi7Orzml4tkVabBrK+a6mzE1azkdR0REqhDHG5ykpCTWr1/PqFGj\n2LBhA0lJSQBkZ2fz/PPPl44bOXIkU6dO5dFHH2X37t1cd911TkWWCuCZFv4GnNMKc3E/p+OIiEgV\n4/hNxvXq1eOpp546bntUVBRjx44tfX3uuecyceJEf0YTH7L/ehtys3Dd9ZimhYuISIXT3yzidzYr\nA7v4XUzX3phW7ZyOIyIiVZAaHPE7+/brAJhByY7mEBGRqksNjviV3b4Ju/JzzBXXYaJjnY4jIiJV\nlBoc8RvrduP++xyIiMJccb3TcUREpApTgyN+Y7/6DPZsx1x/i6aFi4iIT6nBEb+whQXYd96E5m0w\n3ROcjiMiIlWcGhzxC/vx25CXjevG2zUtXEREfE5/04jP2cyfsJ+8i+mWgGnZ1uk4IiJSDajBEZ+z\n/3gdXAYz6Gano4iISDWhBkd8ym79Frt6OeaK6zFRmhYuIiL+oQZHfMa63bgXzoHIGMwVg5yOIyIi\n1YgaHPEZ+8WnsHcHZtAtmBo1nI4jIiLViBoc8QlbeAT77pvQ4jxMtz5OxxERkWpGDY74hP1oERzM\n9UwLN8bpOCIiUs2owZEKZzMOYP/9HqZHX0yL85yOIyIi1ZAaHKlw7n+8Dq4gzPW3OB1FRESqKTU4\nUqHslo2w5gvMbwZhIqOdjiMiItWUGhypMNZdgnvhnyEqBnPZdU7HERGRakwNjlQYu/xT+H4XZlCy\npoWLiIij1OBIhbAFP08Lb9kW07W303FERKSaU4MjFcJ++BYcysN14x2aFi4iIo5TgyPlZtN/xH76\nPubi/pjmrZ2OIyIiogZHys+9aD4EBWOuH+F0FBEREUANjpRT0fpVsO4rzG8GYyI0LVxERCoHNThy\n1qy7hEPzp0J0fcxl1zodR0REpJQaHDlr9vN/U7x7O67ByZhQTQsXEZHKQw2OnBV75DA25f8IaXch\nXHSJ03FERETKUIMjZ+fwIWgUR72RD2pauIiIVDrBTgfIz89nypQpZGRkEBsby+jRo6lbt26ZMfv3\n72fKlCmlr9PT0xkyZAgDBw70d1z5mYltSNDvJhISEwOZmU7HERERKcPxBiclJYUOHTqQlJRESkoK\nKSkpDB8+vMyYxo0bM2nSJADcbjd33XUX3bp1cyKuiIiIBADHL1GtXLmShIQEABISEli5cuUpx2/Y\nsIGGDRsSGxvrj3giIiISgBw/g5OXl0dkZCQAERER5OXlnXL88uXLueSSU9/UmpqaSmpqKgATJ04k\nJiamYsL+SnBwsE/2G2hUB9UAVANQDX6hOqgGUDlq4JcGZ8KECeTm5h63fejQoWVeG2NOecNqcXEx\nq1evZtiwYac8XmJiIomJiaWvM31wj0hMTIxP9htoVAfVAFQDUA1+oTqoBuDbGjRu3NircX5pcMaN\nG3fS98LDw8nJySEyMpKcnBzCwsJOOnbt2rU0b96ciIgIX8QUERGRKsLxe3Di4+NJS0sDIC0tja5d\nu550rDeXp0REREQcb3CSkpJYv349o0aNYsOGDSQlJQGQnZ3N888/XzqusLCQ9evX0717d6eiioiI\nSIAw1lrrdAhf279/f4XvU9dYPVQH1QBUA1ANfqE6qAZQOe7BcfwMjoiIiEhFU4MjIiIiVY4aHBER\nEaly1OCIiIhIlaMGR0RERKqcajGLSkRERKoXncE5S2PGjHE6QqWgOqgGoBqAavAL1UE1gMpRAzU4\nIiIiUuWowREREZEqJ+jpp59+2ukQgapFixZOR6gUVAfVAFQDUA1+oTqoBuB8DXSTsYiIiFQ5ukQl\nIiIiVU6w0wEC0bp165g/fz5ut5tLL720dAX06mTGjBmsWbOG8PBwJk+e7HQcv8vMzGT69Onk5uZi\njCExMZEBAwY4HcvvioqKGD9+PMXFxZSUlNCjRw+GDBnidCxHuN1uxowZQ1RUVKWYQeJv9913HzVr\n1sTlchEUFMTEiROdjuR3hw8fZtasWXz//fcYY7jnnnto06aN07H8av/+/UyZMqX0dXp6OkOGDGHg\nwIF+z6IG5wy53W7mzp3Lk08+SXR0NGPHjiU+Pp64uDino/lV3759ufLKK5k+fbrTURwRFBTEiBEj\naNGiBQUFBYwZM4aOHTtWu+9BSEgI48ePp2bNmhQXF/PUU0/RqVOnavdLHeCjjz6iSZMmFBQUOB3F\nMePHjycsLMzpGI6ZP38+nTp14pFHHqG4uJijR486HcnvGjduzKRJkwDP35d33XUX3bp1cySLLlGd\noe3bt9OwYUMaNGhAcHAwPXv2ZOXKlU7H8rt27dpRt25dp2M4JjIysvQGulq1atGkSROys7MdTuV/\nxhhq1qwJQElJCSUlJRhjHE7lf1lZWaxZs4ZLL73U6SjikCNHjrB582b69+8PQHBwMHXq1HE4lbM2\nbNhAw4YNiY2NdeT4OoNzhrKzs4mOji59HR0dzbZt2xxMJE5LT09n165dtGrVyukojnC73fz+97/n\nwIEDXHHFFbRu3drpSH73+uuvM3z48Gp99gZgwoQJuFwuLrvsMhITE52O41fp6emEhYUxY8YM9uzZ\nQ4sWLUhOTi79H4DqaPny5VxyySWOHV9ncETKobCwkMmTJ5OcnEzt2rWdjuMIl8vFpEmTmDVrFjt2\n7GDv3r1OR/Kr1atXEx4e7viUWKdNmDCBSZMm8fjjj7N48WI2bdrkdCS/KikpYdeuXVx++eW88MIL\n1KhRg5SUFKdjOaa4uJjVq1fTo0cPxzKowTlDUVFRZGVllb7OysoiKirKwUTilOLiYiZPnkzv3r3p\n3r2703EcV6dOHS644ALWrVvndBS/2rJlC6tWreK+++7j5ZdfZuPGjUydOtXpWH73y+/B8PBwunbt\nyvbt2x1O5F/R0dFER0eXnsHs0aMHu3btcjiVc9auXUvz5s2JiIhwLIManDPUsmVLfvzxR9LT0yku\nLuaLL74gPj7e6VjiZ9ZaZs2aRZMmTbjqqqucjuOYgwcPcvjwYcAzo2r9+vU0adLE4VT+NWzYMGbN\nmsX06dN56KGHaN++PaNGjXI6ll8VFhaWXp4rLCxk/fr1NGvWzOFU/hUREUF0dDT79+8HPPefVLdJ\nB7/m9OUp0D04ZywoKIiRI0fy3HPP4Xa76devH02bNnU6lt+9/PLLbNq0iUOHDnH33XczZMiQ0pvr\nqoMtW7awdOlSmjVrxmOPPQbATTfdRJcuXRxO5l85OTlMnz4dt9uNtZaLL76Yiy66yOlY4md5eXm8\n+OKLgOdSTa9evejUqZPDqfxv5MiRTJ06leLiYurXr8+9997rdCRH/NLk3nnnnY7m0JOMRUREpMrR\nJSoRERGpctTgiIiISJWjBkdERESqHDU4IiIiUuWowREREZEqRw2OiIiIVDlqcETEL55++mluvfVW\njh075rNjTJ8+nb///e8+27+IBA41OCLic+np6WzevBmAVatW+eQYbre73PsoKSmpgCQiUhnoScYi\n4nNLly6lTZs2tGrVirS0NC6++GLAc8YlJCSEn376iW3bttG8eXPuv/9+YmNjAfjhhx+YN28eO3fu\nJCwsjBtvvJGePXuWfjY0NJTMzEw2bdrELbfcwrJlywD48MMPueCCCxgzZgxDhgxh6tSpNGzYsPRz\n0dHRDB06lG+//ZZXX32VK6+8kg8//JCOHTvywAMPsHr1av7+97+TkZFBXFwcd9xxB+ecc44DlROR\ns6UzOCLic2lpafTq1YvevXvzzTffkJubW/resmXLGDRoEHPnzuXcc88tXaiysLCQZ58VyJZXAAAD\nKklEQVR9ll69ejFnzhweeugh5s6dy759+8p89rrrrmPBggX06dOHXr16ce211/Lmm28yZswYr7Ll\n5uaSn5/PjBkzuOuuu9i1axczZ87kzjvvZN68eSQmJvLCCy/49NKaiFQ8NTgi4lPfffcdmZmZXHzx\nxbRo0YIGDRqUnmkB6NKlC+3atSMkJISbbrqJrVu3kpmZyZo1a4iNjaVfv34EBQXRvHlzunfvzpdf\nfln62a5du9K2bVtcLhehoaFnlc8Yw5AhQwgJCSE0NJTU1FQSExNp3bo1LpeLvn37EhwczLZt28pd\nCxHxH12iEhGf+s9//kPHjh0JCwsDoFevXqSlpZWuwh4dHV06tmbNmtStW5ecnBwyMjLYtm0bycnJ\npe+XlJTQp0+f0te//uzZCgsLK9McZWZmkpaWxr/+9a/SbcXFxWRnZ5f7WCLiP2pwRMRnioqK+PLL\nL3G73dxxxx2Ap1k4fPgwu3fvBiArK6t0fGFhIfn5+UT+f/t2zGtIFIZx/KEgKrmZ6QmJMIlKVCoU\nel+ATqVV8QkmodISncQnEBVRKVCJoJ/odEgmZrvNusmVTe7eu5vZ/687J5kz75zqyXnPvL3JMAxZ\nlqVOp/Ph+oFA4OVYksLhsO73+8/x5XJ5CkbvnzEMQ9VqVdVq9fc/FMA/hxYVgC+zWq0UDAbV6/Vk\n27Zs21av11Mmk9FisZAkbTYb7fd7ua6r8XisVCol0zSVy+XkOI4Wi4Vc15XrujqdTk93cN6LRqM6\nn89Pc/F4XMvlUo/HQ9vtVrvd7mXN5XJZs9lMx+NRnufpdrtpvV7rer1+fkMAfBtOcAB8mfl8rmKx\nKNM0n+YrlYqGw6Gy2awKhYImk4kOh4MSiYSazaYkKRKJqN1uazQaaTQayfM8xWIx1Wq1D99XKpXU\n7XZVr9dlWZZarZbq9br6/b6m06ny+bzy+fzLmpPJpBqNhgaDgRzHUSgUUjqdViaT+fyGAPg2Ac/z\nvL9dBID/06+/bAPAn0SLCgAA+A4BBwAA+A4tKgAA4Duc4AAAAN8h4AAAAN8h4AAAAN8h4AAAAN8h\n4AAAAN8h4AAAAN/5Aa8vs2YaPUPDAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_ap_evol(magnitudes['g'], stellarities['g'], labels=apertures)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will use aperture 5 as target." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAicAAAD8CAYAAACsNgQYAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSZ352wAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_vs_apcor(magnitudes['g'][4], \n", " magnitudes['g'][5], \n", " stellarities['g'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will use magnitudes between 15.5 and 18.0" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Aperture correction for g band:\n", "Correction: -0.09307611132280158\n", "Number of source used: 1215\n", "RMS: 0.020229745410616354\n" ] } ], "source": [ "# Aperture correction\n", "mag_corr['g'], num, std = aperture_correction(\n", " magnitudes['g'][4], magnitudes['g'][5], \n", " stellarities['g'],\n", " mag_min=15.5, mag_max=18.0)\n", "print(\"Aperture correction for g band:\")\n", "print(\"Correction: {}\".format(mag_corr['g']))\n", "print(\"Number of source used: {}\".format(num))\n", "print(\"RMS: {}\".format(std))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### I.b - r band" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjgAAALACAYAAACetAiCAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSAAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_ap_evol(magnitudes['r'], stellarities['r'], labels=apertures)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will use aperture 5 as target." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjEAAAD8CAYAAACGhvW3AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nIiIiU2ISQ0RERKbEJIaIiIhM6X9oLQhX2etCKQAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_vs_apcor(magnitudes['r'][4], \n", " magnitudes['r'][5], \n", " stellarities['r'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use magnitudes between 15.5 and 17.0." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Aperture correction for r band:\n", "Correction: -0.07793132761139532\n", "Number of source used: 845\n", "RMS: 0.033021157928581964\n" ] } ], "source": [ "# Aperture correction\n", "mag_corr['r'], num, std = aperture_correction(\n", " magnitudes['r'][4], magnitudes['r'][5], \n", " stellarities['r'],\n", " mag_min=15.5, mag_max=17.0)\n", "print(\"Aperture correction for r band:\")\n", "print(\"Correction: {}\".format(mag_corr['r']))\n", "print(\"Number of source used: {}\".format(num))\n", "print(\"RMS: {}\".format(std))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### I.c - z band" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjgAAALACAYAAACetAiCAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nVFwAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_ap_evol(magnitudes['z'], stellarities['z'], labels=apertures)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will use aperture 4 as target." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAi0AAAD8CAYAAAC7FJTRAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nLQAAwAiUFgAAYIT/A0C6bBZB3WFaAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_vs_apcor(magnitudes['z'][4], \n", " magnitudes['z'][4], \n", " stellarities['z'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use magnitudes between 16.0 and 17.5." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Aperture correction for z band:\n", "Correction: 0.0\n", "Number of source used: 1183\n", "RMS: 0.0\n" ] } ], "source": [ "# Aperture correction\n", "mag_corr['z'], num, std = aperture_correction(\n", " magnitudes['z'][4], magnitudes['z'][4], \n", " stellarities['z'],\n", " mag_min=16.0, mag_max=17.5)\n", "print(\"Aperture correction for z band:\")\n", "print(\"Correction: {}\".format(mag_corr['z']))\n", "print(\"Number of source used: {}\".format(num))\n", "print(\"RMS: {}\".format(std))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## II - Stellarity\n", "\n", "Legacy Survey does not provide a 0 to 1 stellarity so we replace items flagged as PSF accpording to the following table:\n", "\n", "\\begin{equation*}\n", "P(star) = \\frac{ \\prod_{i} P(star)_i }{ \\prod_{i} P(star)_i + \\prod_{i} P(galaxy)_i }\n", "\\end{equation*}\n", "\n", "where $i$ is the band, and with using the same probabilities as UKDISS:\n", "\n", "| HSC flag | UKIDSS flag | Meaning | P(star) | P(galaxy) | P(noise) | P(saturated) |\n", "|:--------:|:-----------:|:----------------|--------:|----------:|---------:|-------------:|\n", "| | -9 | Saturated | 0.0 | 0.0 | 5.0 | 95.0 |\n", "| | -3 | Probable galaxy | 25.0 | 70.0 | 5.0 | 0.0 |\n", "| | -2 | Probable star | 70.0 | 25.0 | 5.0 | 0.0 |\n", "| 0 | -1 | Star | 90.0 | 5.0 | 5.0 | 0.0 |\n", "| | 0 | Noise | 5.0 | 5.0 | 90.0 | 0.0 |\n", "| 1 | +1 | Galaxy | 5.0 | 90.0 | 5.0 | 0.0 |" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": true }, "outputs": [], "source": [ "stellarities['g'][np.isclose(stellarities['g'], 1.)] = 0.9\n", "stellarities['g'][np.isclose(stellarities['g'], 0.)] = 0.05" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": true }, "outputs": [], "source": [ "orig_legacy.add_column(Column(data=stellarities['g'], name=\"stellarity\")) #Stelarites computed earlier" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## II - Column selection" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": true }, "outputs": [], "source": [ "imported_columns = OrderedDict({\n", " \"objid\": \"legacy_id\",\n", " \"ra\": \"legacy_ra\",\n", " \"dec\": \"legacy_dec\",\n", " \"flux_g\": \"f_90prime_g\",\n", " \"flux_ivar_g\": \"ferr_90prime_g\",\n", " \"apflux_g\": \"f_ap_90prime_g\",\n", " \"apflux_ivar_g\": \"ferr_ap_90prime_g\",\n", " \"flux_r\": \"f_90prime_r\",\n", " \"flux_ivar_r\": \"ferr_90prime_r\",\n", " \"apflux_r\": \"f_ap_90prime_r\",\n", " \"apflux_ivar_r\": \"ferr_ap_90prime_r\",\n", " \"flux_z\": \"f_mosaic_z\",\n", " \"flux_ivar_z\": \"ferr_mosaic_z\",\n", " \"apflux_z\": \"f_ap_mosaic_z\",\n", " \"apflux_ivar_z\": \"ferr_ap_mosaic_z\",\n", " \"stellarity\": \"legacy_stellarity\"\n", " })\n", "\n", "\n", "catalogue = orig_legacy[list(imported_columns)]\n", "for column in imported_columns:\n", " catalogue[column].name = imported_columns[column]\n", "\n", "epoch = 2017\n", "\n", "# Clean table metadata\n", "catalogue.meta = None" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/anaconda3/envs/herschelhelp_internal/lib/python3.6/site-packages/ipykernel/__main__.py:17: RuntimeWarning: divide by zero encountered in true_divide\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:76: RuntimeWarning: divide by zero encountered in log10\n", " magnitudes = 2.5 * (23 - np.log10(fluxes)) - 48.6\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:76: RuntimeWarning: invalid value encountered in log10\n", " magnitudes = 2.5 * (23 - np.log10(fluxes)) - 48.6\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:43: RuntimeWarning: invalid value encountered in multiply\n", " errors = np.log(10)/2.5 * fluxes * errors_on_magnitudes\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:80: RuntimeWarning: divide by zero encountered in true_divide\n", " errors = 2.5 / np.log(10) * errors_on_fluxes / fluxes\n" ] } ], "source": [ "# Adding flux and band-flag columns\n", "for col in catalogue.colnames:\n", " if col.startswith('f_'):\n", " \n", " errcol = \"ferr{}\".format(col[1:])\n", " \n", " #First we take aperture 4 if it is an aperture flux\n", " if 'ap' in col:\n", " catalogue[col] = catalogue[col][:, 4] \n", " catalogue[errcol] = catalogue[errcol][:, 4] \n", " \n", " #Convert nanomaggies to uJy\n", " # 1 nanomaggy = 1.e-9 maggy\n", " # 1 maggy = 3631 Jy\n", " # 1 nanomaggy = 3.631×10-6 Jy\n", " catalogue[col] = catalogue[col] * 3.631 #* 1.e9\n", " catalogue[errcol] = (1/np.sqrt(catalogue[errcol])) * 3.631 #* 1.e9\n", " catalogue[col].unit = u.microjansky\n", " catalogue[errcol].unit = u.microjansky\n", " \n", " mag, magerror = flux_to_mag(np.array(catalogue[col])* 1.e-6, np.array(catalogue[errcol])* 1.e-6)\n", " \n", " if 'ap' in col:\n", " mag += mag_corr[col[-1]]\n", " catalogue[col],catalogue[errcol] = mag_to_flux(mag,magerror)\n", " catalogue[col] = catalogue[col] * 1.e6\n", " catalogue[errcol] = catalogue[errcol] * 1.e6\n", " \n", " # Add magnitudes\n", " catalogue.add_column(Column(mag , name=\"m{}\".format(col[1:])))\n", " catalogue.add_column(Column(magerror , name=\"m{}\".format(errcol[1:])))\n", " \n", " \n", " # Band-flag column\n", " if 'ap' not in col:\n", " catalogue.add_column(Column(np.zeros(len(catalogue), dtype=bool), name=\"flag{}\".format(col[1:])))\n", " \n", "# TODO: Set to True the flag columns for fluxes that should not be used for SED fitting." ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/html": [ "Table length=10\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "
idxlegacy_idlegacy_ralegacy_decf_90prime_gferr_90prime_gf_ap_90prime_gferr_ap_90prime_gf_90prime_rferr_90prime_rf_ap_90prime_rferr_ap_90prime_rf_mosaic_zferr_mosaic_zf_ap_mosaic_zferr_ap_mosaic_zlegacy_stellaritym_90prime_gmerr_90prime_gflag_90prime_gm_ap_90prime_gmerr_ap_90prime_gm_90prime_rmerr_90prime_rflag_90prime_rm_ap_90prime_rmerr_ap_90prime_rm_mosaic_zmerr_mosaic_zflag_mosaic_zm_ap_mosaic_zmerr_ap_mosaic_z
degdeguJyuJyuJyuJyuJyuJy
04212.9778736951.62513077078.906530.2537655.694810.097179915.58390.72077710.88040.2945821.50061.3502414.37260.9918740.0521.52570.0309348False22.01130.018527720.91830.0502168False21.30840.029395620.56890.0681844False21.00620.0749284
15212.97655293751.62753522974.775970.1498114.665730.097179312.26250.38535313.31840.29458226.82840.64242325.83560.9918740.0522.20230.034057False22.22770.022614121.17860.0341197False21.08890.024014820.32850.0259986False20.36950.0416833
26212.97800880851.62698196122.949330.2361081.767660.09717988.380540.622754.965640.29458119.87251.1109810.41680.9918730.0522.72570.0869184False23.28150.0596921.59180.08068False22.16010.0644120.65440.0606984False21.35570.103383
37212.88640744451.62526544720.5615840.1536550.4443250.1212342.065350.2848771.680580.294583.348160.4325053.036150.9918740.924.52650.297068False24.78070.29624223.11250.149757False23.33640.19031422.5880.140252False22.69420.354697
48212.91921982251.62612622372.970490.2257271.909170.09718017.549030.6053925.677620.29458220.28091.1238213.67650.9918750.0522.71790.082505False23.19790.055265821.70530.0870702False22.01460.056333120.63230.0601638False21.06010.0787417
59212.91983246751.62417630831.116480.1714151.10140.1147720.6818840.356651.055040.2945812.198540.608134.013590.9918790.0523.78040.166695False23.79510.1131424.31570.567879False23.84180.3031523.04470.300322False22.39120.268318
610212.90859896751.62482588230.2714940.1523310.5237720.1063680.5631830.2790480.5568880.2945825.059140.4329563.841840.991870.925.31560.609189False24.60210.22049124.52340.537964False24.53560.5743322.13980.0929161False22.43870.280311
712213.0005263151.62410597122.298320.1379762.378070.1004123.210710.2940192.89360.2945815.208670.409292.842860.9918780.922.99650.0651804False22.95940.045844122.63350.0994257False22.74640.11053322.10820.0853156False22.76560.378814
813213.01503824651.62396391160.9502610.1485431.26970.09894460.5016660.3608450.9450580.294582-0.8654080.565681.475110.9918780.0523.95540.169721False23.64070.08460924.6490.780963False23.96140.338433nan-0.709699False23.47790.730058
914213.014040251.6243687550.7337510.1258460.9001540.09776511.349690.285911.83330.294583.136650.392973.041250.9918770.924.23610.186215False24.01420.11792123.57440.229995False23.24190.1744622.65880.136025False22.69240.354103
\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "catalogue[:10].show_in_notebook()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## III - Removal of duplicated sources" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We remove duplicated objects from the input catalogues." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The initial catalogue had 166758 sources.\n", "The cleaned catalogue has 163539 sources (3219 removed).\n", "The cleaned catalogue has 3171 sources flagged as having been cleaned\n" ] } ], "source": [ "SORT_COLS = [\n", " 'merr_ap_90prime_g', 'merr_ap_90prime_r', 'merr_ap_mosaic_z']\n", "FLAG_NAME = 'legacy_flag_cleaned'\n", "\n", "nb_orig_sources = len(catalogue)\n", "\n", "catalogue = remove_duplicates(\n", " catalogue, RA_COL, DEC_COL, \n", " sort_col= SORT_COLS,\n", " flag_name=FLAG_NAME)\n", "\n", "nb_sources = len(catalogue)\n", "\n", "print(\"The initial catalogue had {} sources.\".format(nb_orig_sources))\n", "print(\"The cleaned catalogue has {} sources ({} removed).\".format(nb_sources, nb_orig_sources - nb_sources))\n", "print(\"The cleaned catalogue has {} sources flagged as having been cleaned\".format(np.sum(catalogue[FLAG_NAME])))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## III - Astrometry correction\n", "\n", "We match the astrometry to the Gaia one. We limit the Gaia catalogue to sources with a g band flux between the 30th and the 70th percentile. Some quick tests show that this give the lower dispersion in the results." ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": true }, "outputs": [], "source": [ "gaia = Table.read(\"../../dmu0/dmu0_GAIA/data/GAIA_EGS.fits\")\n", "gaia_coords = SkyCoord(gaia['ra'], gaia['dec'])" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAbMAAAGqCAYAAACBNKrUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nMiMiIoP3P5OoJcicqFcMAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAgQAAAFhCAYAAAAP07LiAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nKNQiAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_astcor_diag_plot(catalogue[RA_COL], catalogue[DEC_COL], \n", " gaia_coords.ra, gaia_coords.dec)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "RA correction: -0.003632177259760283 arcsec\n", "Dec correction: 0.004341531230522833 arcsec\n" ] } ], "source": [ "delta_ra, delta_dec = astrometric_correction(\n", " SkyCoord(catalogue[RA_COL], catalogue[DEC_COL]),\n", " gaia_coords\n", ")\n", "\n", "print(\"RA correction: {}\".format(delta_ra))\n", "print(\"Dec correction: {}\".format(delta_dec))" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": true }, "outputs": [], "source": [ "catalogue[RA_COL].unit = u.deg\n", "catalogue[DEC_COL].unit = u.deg\n", "catalogue[RA_COL] = catalogue[RA_COL] + delta_ra.to(u.deg)\n", "catalogue[DEC_COL] = catalogue[DEC_COL] + delta_dec.to(u.deg)" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAbMAAAGqCAYAAACBNKrUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ngg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAgQAAAFhCAYAAAAP07LiAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\niAgMCIiIiAjA/wEOxDxIRobAgwAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_astcor_diag_plot(catalogue[RA_COL], catalogue[DEC_COL], \n", " gaia_coords.ra, gaia_coords.dec)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## IV - Flagging Gaia objects" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": true }, "outputs": [], "source": [ "catalogue.add_column(\n", " gaia_flag_column(SkyCoord(catalogue[RA_COL], catalogue[DEC_COL]), epoch, gaia)\n", ")" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "9145 sources flagged.\n" ] } ], "source": [ "GAIA_FLAG_NAME = \"legacy_flag_gaia\"\n", "\n", "catalogue['flag_gaia'].name = GAIA_FLAG_NAME\n", "print(\"{} sources flagged.\".format(np.sum(catalogue[GAIA_FLAG_NAME] > 0)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# V - Saving to disk" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": true }, "outputs": [], "source": [ "catalogue.write(\"{}/LegacySurvey.fits\".format(OUT_DIR), overwrite=True)" ] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python (herschelhelp_internal)", "language": "python", "name": "helpint" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.4" } }, "nbformat": 4, "nbformat_minor": 1 }