{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# The HELP masterlist summary figures\n", "This notebook is to produce some figures for the paper describing the HELP masterlist paper." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "This notebook was run with herschelhelp_internal version: \n", "1407877 (Mon Feb 4 12:56:29 2019 +0000)\n" ] } ], "source": [ "from herschelhelp_internal import git_version\n", "print(\"This notebook was run with herschelhelp_internal version: \\n{}\".format(git_version()))\n", "\n", "\n", "laptop = True" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/rs548/anaconda/envs/herschelhelp_internal/lib/python3.6/site-packages/matplotlib/__init__.py:1405: UserWarning: \n", "This call to matplotlib.use() has no effect because the backend has already\n", "been chosen; matplotlib.use() must be called *before* pylab, matplotlib.pyplot,\n", "or matplotlib.backends is imported for the first time.\n", "\n", " warnings.warn(_use_error_msg)\n", "/Users/rs548/anaconda/envs/herschelhelp_internal/lib/python3.6/importlib/_bootstrap.py:219: RuntimeWarning: numpy.dtype size changed, may indicate binary incompatibility. Expected 96, got 88\n", " return f(*args, **kwds)\n", "/Users/rs548/anaconda/envs/herschelhelp_internal/lib/python3.6/site-packages/seaborn/apionly.py:9: UserWarning: As seaborn no longer sets a default style on import, the seaborn.apionly module is deprecated. It will be removed in a future version.\n", " warnings.warn(msg, UserWarning)\n" ] } ], "source": [ "%matplotlib inline\n", "#%config InlineBackend.figure_format = 'svg'\n", "\n", "import matplotlib as mpl\n", "mpl.use('pdf')\n", "import matplotlib.pyplot as plt\n", "import matplotlib.gridspec as gridspec\n", "\n", "\n", "#plt.rc('figure', figsize=(10, 6))\n", "from matplotlib_venn import venn3\n", "\n", "import seaborn.apionly as sns\n", "\n", "from astropy import visualization as vz\n", "\n", "from collections import OrderedDict\n", "import os\n", "\n", "from astropy import units as u\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, remove_duplicates\n", "from herschelhelp_internal.utils import astrometric_correction, mag_to_flux, flux_to_mag, aperture_correction\n", "\n", "from astropy.io.votable import parse\n", "from astropy.io.votable import parse_single_table\n", "\n", "from pymoc import MOC\n", "import healpy as hp\n", "\n", "import warnings\n", "warnings.filterwarnings('ignore')" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SERVS: 0.2041246653165556, SWIRE: 0.7317905659089361\n" ] } ], "source": [ "dmu_loc = '../../../'\n", "en1_moc = MOC(filename=dmu_loc +'dmu2/dmu2_field_coverages/ELAIS-N1_MOC.fits')\n", "en1_servs_moc= MOC(filename=dmu_loc +'dmu0/dmu0_DataFusion-Spitzer/data/DF-SERVS_ELAIS-N1_MOC.fits')\n", "en1_swire_moc= MOC(filename=dmu_loc +'dmu0/dmu0_DataFusion-Spitzer/data/DF-SWIRE_ELAIS-N1_MOC.fits')\n", "\n", "\n", "print(\"SERVS: {}, SWIRE: {}\".format(en1_servs_moc.area_sq_deg/en1_moc.area_sq_deg, \n", " en1_swire_moc.area_sq_deg/en1_moc.area_sq_deg))\n", "\n", "\n", "depths = Table.read(dmu_loc +'dmu1/dmu1_ml_ELAIS-N1/data/depths_elais-n1_20180216.fits')\n", "\n", "# Pritine HSC catalogue\n", "orig_hsc = Table.read(dmu_loc +'/dmu0/dmu0_HSC/data/HSC-PDR1_deep_ELAIS-N1.fits')[\n", " \"object_id\",\n", " \"ra\",\n", " \"dec\",\n", " \"gmag_aperture10\",\n", " \"gmag_aperture15\",\n", " \"gmag_aperture20\",\n", " \"gmag_aperture30\",\n", " \"gmag_aperture40\",\n", " \"gmag_aperture57\",\n", " \"gmag_aperture84\",\n", " \"gmag_aperture118\",\n", " \"gmag_aperture168\",\n", " \"gmag_aperture235\",\n", " \"gmag_aperture10_err\",\n", " \"gmag_aperture15_err\",\n", " \"gmag_aperture20_err\",\n", " \"gmag_aperture30_err\",\n", " \"gmag_aperture40_err\",\n", " \"gmag_aperture57_err\",\n", " \"gmag_aperture84_err\",\n", " \"gmag_aperture118_err\",\n", " \"gmag_aperture168_err\",\n", " \"gmag_aperture235_err\",\n", " \"gclassification_extendedness\"\n", "]\n", "\n", "\n", "gaia = Table.read(dmu_loc + \"dmu0/dmu0_GAIA/data/GAIA_ELAIS-N1.fits\")\n", "\n", "wfc = Table.read(dmu_loc + '/dmu1/dmu1_ml_ELAIS-N1/data_tmp/INT-WFC.fits')\n", "en1_area = MOC(filename=dmu_loc + 'dmu2/dmu2_field_coverages/ELAIS-N1_MOC.fits').area_sq_deg\n", "\n", "# generate smaller catalogue with:\n", "print(\"\"\"stilts tpipe cmd='keepcols \"m_suprime_r m_megacam_r m_wfc_g m_wfc_r\" \n", "m_gpc1_r m_gpc1_g merr_gpc1_g m_ap_megacam_r m_megacam_g merr_megacam_g \n", "m_ukidss_j m_ukidss_k stellarity flag_optnir_obs flag_optnir_det\n", "\"' master_catalogue_elais-n1_20171016.fits omode=out out=cols_for_figs.fits\"\"\")\n", "\n", "master_catalogue = Table.read(dmu_loc + \"dmu1/dmu1_ml_ELAIS-N1/data/master_catalogue_elais-n1_20171016.fits\")[ \n", " \"m_suprime_r\", \n", " \"m_megacam_r\", \n", " 'm_ap_megacam_r',\n", " \"m_wfc_r\", \n", " \"m_gpc1_r\", \n", " 'm_wfc_g', \n", " 'm_gpc1_g',\n", " 'merr_gpc1_g',\n", " 'm_megacam_g',\n", " 'merr_megacam_g',\n", " 'm_ukidss_j',\n", " 'm_ukidss_k',\n", " \"f_ap_irac_i1\",\n", " \"stellarity\",\n", " 'flag_optnir_obs',\n", " 'flag_optnir_det',\n", " \n", "]\n" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "#colnames=Table.read(\"../dmu1/dmu1_ml_Herschel-Stripe-82/data/tiles/sub_catalogue_herschel-stripe-82_20180307_145.fits\").colnames" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "#cols_to_keep = 'hp_idx '\n", "#for col in colnames:\n", "# if col.startswith('f_') or col.startswith('ferr_'):\n", "# cols_to_keep += ' {}'.format(col)\n", " \n", "#cols_to_keep" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "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", "#filters_folder = \"/opt/herschelhelp_python/database_builder/filters/\"\n", "if laptop:\n", " filters_folder = \"/Users/rs548/GitHub/herschelhelp_python/database_builder/filters/\"\n", "else:\n", " filters_folder = \"/opt/herschelhelp_python/database_builder/filters/\"" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "filters = [\n", " ['wfc_u', 'WFC $u$', False ],\n", " ['megacam_u', 'Megacam $u$', True ], \n", "\n", " ['wfc_g', 'WFC $g$', False ], \n", " ['megacam_g', 'Megacam $g$', True ], \n", " ['suprime_g', 'HSC $g$', False ], \n", " ['gpc1_g', 'GPC1 $g$', False ], \n", "\n", " ['wfc_r', 'WFC $r$', False ], \n", " ['megacam_r', 'Megacam $r$', True ],\n", " ['suprime_r', 'HSC $r$', False ], \n", " ['gpc1_r', 'GPC1 $r$', False ], \n", "\n", " ['wfc_i', 'WFC $i$', False ], \n", " ['suprime_i', 'HSC $i$', True ], \n", " ['gpc1_i', '', False ], \n", "\n", " ['wfc_z', 'WFC $z$', False ], \n", " ['megacam_z', 'Megacam $z$', True ], \n", " ['suprime_z', 'HSC $z$', False ], \n", " ['gpc1_z', 'GPC1 $z$', False ], \n", "\n", " ['suprime_y', 'HSC $y$', True ], \n", " ['gpc1_y', 'GPC1 $y$', False ], \n", "\n", " ['ukidss_j', 'UKIDSS $J$', True ], \n", " ['ukidss_k', 'UKIDSS $K$', True ], \n", "\n", " ['irac_i1', 'IRAC 1 (3.6 $\\mu$m)', True ], \n", " ['irac_i2', 'IRAC 2 (4.5 $\\mu$m)', True ], \n", " ['irac_i3', 'IRAC 3 (5.6 $\\mu$m)', True ], \n", " ['irac_i4', 'IRAC 4 (8.0 $\\mu$m)', True ], \n", " \n", "]" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "data = []\n", "\n", "for f in filters:\n", " data += [[f[0], Table(data = parse_single_table(filters_folder + f[0] +'.xml').array.data), f[1]]]" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#plt.plot(wfc_u['Wavelength'],wfc_u['Transmission'], label='WFC u')\n", "#plt.plot(megacam_u['Wavelength'],megacam_u['Transmission'], label='megacam u')\n", "\n", "#plt.plot(wfc_g['Wavelength'],wfc_g['Transmission'], label='WFC g')\n", "\n", "#plt.plot(irac_i4['Wavelength'],irac_i4['Transmission'], label='irac i4')\n", "\n", "\n", "fig, ax = plt.subplots()\n", "# Paper quality settings\n", "plt.rc('font', family='serif', serif='Times')\n", "plt.rc('text') #, usetex=True)\n", "plt.rc('xtick', labelsize=12)\n", "plt.rc('ytick', labelsize=12)\n", "plt.rc('axes', labelsize=12)\n", "\n", "for f in filters:\n", " if f[2]:\n", " plt.plot(Table(data = parse_single_table(filters_folder + f[0] + '.xml').array.data)['Wavelength'] * 1e-1\n", " ,Table(data = parse_single_table(filters_folder + f[0] + '.xml').array.data)['Transmission']\n", " , label=f[1])\n", "plt.xlabel('Wavelength [nm]')\n", "plt.ylabel('Transmission')\n", "plt.xscale('log')\n", "lgd = plt.legend(bbox_to_anchor=(1.05, 1), loc=2, borderaxespad=0., ncol=1)\n", "#plt.title('Passbands on ELAIS-N1')\n", "\n", "\n", "\n", "column_width_cm = 8.9\n", "width_cm = 1.9 * column_width_cm\n", "hieght_cm = width_cm / 1.618\n", "width_inches = width_cm/2.5\n", "hieght_inches = hieght_cm/2.5\n", "fig.set_size_inches(width_inches, hieght_inches)\n", "plt.savefig('./figs/filters.png', bbox_extra_artists=(lgd,), bbox_inches='tight')\n", "plt.savefig('./figs/filters.pdf', bbox_extra_artists=(lgd,), bbox_inches='tight')\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Depths" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "theta, phi = hp.pixelfunc.pix2ang(hp.order2nside(13),depths['hp_idx_O_13'], nest = True) \n", "ra,dec = np.degrees(phi), -np.degrees(theta-np.pi/2)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ " # Scatter plot of the sources.\n", "fig, ax = plt.subplots()\n", " \n", "#offset_angle = np.angle(ra_diff.arcsec + dec_diff.arcsec * 1j)\n", "#offset_dist = np.absolute(ra_diff.arcsec + dec_diff.arcsec * 1j)\n", "#offset_distnorm = (offset_dist - np.min(offset_dist)) / np.max(offset_dist)\n", "\n", "#cmap = mpl.colors.ListedColormap(sns.color_palette(\"Blues\"))\n", "#colors = cmap(depths['ferr_ap_irac_i1_mean']) # The color is the angle\n", "#colors[:, 3] = offset_distnorm # The transparency is the distance\n", "\n", "im = ax.scatter(ra, dec, c=depths['ferr_ap_irac_i1_mean'], \n", " vmin=0.4, vmax=1.25, s=0.1)\n", "#axis.set_xlabel(\"RA\")\n", "#axis.set_ylabel(\"Dec\")\n", "\n", "fig.colorbar(im, ax=ax).set_label('Mean error [$\\mu$Jy]')\n", "ax.set_xlabel('RA [deg]')\n", "ax.set_ylabel('Dec [deg]')\n", "ax.axis('equal')\n", "\n", "plt.xlim(247.,239.)\n", "\n", "plt.rc('font', family='serif', serif='Times')\n", "plt.rc('text') #, usetex=True)\n", "plt.rc('xtick', labelsize=12)\n", "plt.rc('ytick', labelsize=12)\n", "plt.rc('axes', labelsize=12)\n", "\n", "column_width_cm = 8.9\n", "width_cm = 1.4 * column_width_cm\n", "hieght_cm = width_cm / 1.618\n", "width_inches = width_cm/2.5\n", "hieght_inches = hieght_cm/2.5\n", "fig.set_size_inches(width_inches, hieght_inches)\n", "plt.savefig('./figs/depth_map.pdf', bbox_inches='tight')\n", "plt.savefig('./figs/depth_map.png', bbox_inches='tight')\n" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ " # Scatter plot of the sources.\n", "fig, ax = plt.subplots()\n", " \n", "#offset_angle = np.angle(ra_diff.arcsec + dec_diff.arcsec * 1j)\n", "#offset_dist = np.absolute(ra_diff.arcsec + dec_diff.arcsec * 1j)\n", "#offset_distnorm = (offset_dist - np.min(offset_dist)) / np.max(offset_dist)\n", "\n", "#cmap = mpl.colors.ListedColormap(sns.color_palette(\"Blues\"))\n", "#colors = cmap(depths['ferr_ap_irac_i1_mean']) # The color is the angle\n", "#colors[:, 3] = offset_distnorm # The transparency is the distance\n", "\n", "im = ax.scatter(ra, dec, c=depths['ferr_ap_irac_i1_mean'], \n", " vmin=0.4, vmax=1.25, s=0.1, rasterized=True)\n", "#axis.set_xlabel(\"RA\")\n", "#axis.set_ylabel(\"Dec\")\n", "\n", "fig.colorbar(im, ax=ax).set_label('Mean error [$\\mu$Jy]')\n", "ax.set_xlabel('RA [deg]')\n", "ax.set_ylabel('Dec [deg]')\n", "ax.axis('equal')\n", "\n", "plt.xlim(247.,239.)\n", "\n", "plt.rc('font', family='serif', serif='Times')\n", "plt.rc('text') #, usetex=True)\n", "plt.rc('xtick', labelsize=12)\n", "plt.rc('ytick', labelsize=12)\n", "plt.rc('axes', labelsize=12)\n", "\n", "column_width_cm = 8.9\n", "width_cm = 1.4 * column_width_cm\n", "hieght_cm = width_cm / 1.618\n", "width_inches = width_cm/2.5\n", "hieght_inches = hieght_cm/2.5\n", "fig.set_size_inches(width_inches, hieght_inches)\n", "plt.savefig('./figs/depth_map_raster.pdf', bbox_inches='tight')\n", "plt.savefig('./figs/depth_map_raster.png', bbox_inches='tight')" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "['hp_idx_O_13',\n", " 'hp_idx_O_10',\n", " 'ferr_ap_wfc_u_mean',\n", " 'f_ap_wfc_u_p90',\n", " 'ferr_wfc_u_mean',\n", " 'f_wfc_u_p90',\n", " 'ferr_ap_wfc_g_mean',\n", " 'f_ap_wfc_g_p90',\n", " 'ferr_wfc_g_mean',\n", " 'f_wfc_g_p90',\n", " 'ferr_ap_wfc_r_mean',\n", " 'f_ap_wfc_r_p90',\n", " 'ferr_wfc_r_mean',\n", " 'f_wfc_r_p90',\n", " 'ferr_ap_wfc_i_mean',\n", " 'f_ap_wfc_i_p90',\n", " 'ferr_wfc_i_mean',\n", " 'f_wfc_i_p90',\n", " 'ferr_ap_wfc_z_mean',\n", " 'f_ap_wfc_z_p90',\n", " 'ferr_wfc_z_mean',\n", " 'f_wfc_z_p90',\n", " 'ferr_ap_megacam_u_mean',\n", " 'f_ap_megacam_u_p90',\n", " 'ferr_megacam_u_mean',\n", " 'f_megacam_u_p90',\n", " 'ferr_ap_megacam_g_mean',\n", " 'f_ap_megacam_g_p90',\n", " 'ferr_megacam_g_mean',\n", " 'f_megacam_g_p90',\n", " 'ferr_ap_megacam_r_mean',\n", " 'f_ap_megacam_r_p90',\n", " 'ferr_megacam_r_mean',\n", " 'f_megacam_r_p90',\n", " 'ferr_ap_megacam_z_mean',\n", " 'f_ap_megacam_z_p90',\n", " 'ferr_megacam_z_mean',\n", " 'f_megacam_z_p90',\n", " 'ferr_ap_suprime_g_mean',\n", " 'f_ap_suprime_g_p90',\n", " 'ferr_suprime_g_mean',\n", " 'f_suprime_g_p90',\n", " 'ferr_ap_suprime_r_mean',\n", " 'f_ap_suprime_r_p90',\n", " 'ferr_suprime_r_mean',\n", " 'f_suprime_r_p90',\n", " 'ferr_ap_suprime_i_mean',\n", " 'f_ap_suprime_i_p90',\n", " 'ferr_suprime_i_mean',\n", " 'f_suprime_i_p90',\n", " 'ferr_ap_suprime_z_mean',\n", " 'f_ap_suprime_z_p90',\n", " 'ferr_suprime_z_mean',\n", " 'f_suprime_z_p90',\n", " 'ferr_ap_suprime_y_mean',\n", " 'f_ap_suprime_y_p90',\n", " 'ferr_suprime_y_mean',\n", " 'f_suprime_y_p90',\n", " 'ferr_ap_suprime_n921_mean',\n", " 'f_ap_suprime_n921_p90',\n", " 'ferr_suprime_n921_mean',\n", " 'f_suprime_n921_p90',\n", " 'ferr_ap_gpc1_g_mean',\n", " 'f_ap_gpc1_g_p90',\n", " 'ferr_gpc1_g_mean',\n", " 'f_gpc1_g_p90',\n", " 'ferr_ap_gpc1_r_mean',\n", " 'f_ap_gpc1_r_p90',\n", " 'ferr_gpc1_r_mean',\n", " 'f_gpc1_r_p90',\n", " 'ferr_ap_gpc1_i_mean',\n", " 'f_ap_gpc1_i_p90',\n", " 'ferr_gpc1_i_mean',\n", " 'f_gpc1_i_p90',\n", " 'ferr_ap_gpc1_z_mean',\n", " 'f_ap_gpc1_z_p90',\n", " 'ferr_gpc1_z_mean',\n", " 'f_gpc1_z_p90',\n", " 'ferr_ap_gpc1_y_mean',\n", " 'f_ap_gpc1_y_p90',\n", " 'ferr_gpc1_y_mean',\n", " 'f_gpc1_y_p90',\n", " 'ferr_ap_ukidss_j_mean',\n", " 'f_ap_ukidss_j_p90',\n", " 'ferr_ukidss_j_mean',\n", " 'f_ukidss_j_p90',\n", " 'ferr_ap_ukidss_k_mean',\n", " 'f_ap_ukidss_k_p90',\n", " 'ferr_ukidss_k_mean',\n", " 'f_ukidss_k_p90',\n", " 'ferr_ap_irac_i3_mean',\n", " 'f_ap_irac_i3_p90',\n", " 'ferr_irac_i3_mean',\n", " 'f_irac_i3_p90',\n", " 'ferr_ap_irac_i4_mean',\n", " 'f_ap_irac_i4_p90',\n", " 'ferr_irac_i4_mean',\n", " 'f_irac_i4_p90',\n", " 'ferr_ap_irac_i1_mean',\n", " 'f_ap_irac_i1_p90',\n", " 'ferr_irac_i1_mean',\n", " 'f_irac_i1_p90',\n", " 'ferr_ap_irac_i2_mean',\n", " 'f_ap_irac_i2_p90',\n", " 'ferr_irac_i2_mean',\n", " 'f_irac_i2_p90']" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "depths.colnames\n" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "wfc_u: mean flux error: 4.338520526885986, 3sigma log10( f [Jy]) : 21.11384272176445\n", "megacam_u: mean flux error: 0.015514050610363483, 3sigma log10( f [Jy]) : 27.230383853506076\n", "wfc_g: mean flux error: 1.281677484512329, 3sigma log10( f [Jy]) : 22.437749975590997\n", "megacam_g: mean flux error: 0.010639035142958164, 3sigma log10( f [Jy]) : 27.639941254555517\n", "suprime_g: mean flux error: 0.017642125487327576, 3sigma log10( f [Jy]) : 27.09081959604557\n", "gpc1_g: mean flux error: 0.49417333358880866, 3sigma log10( f [Jy]) : 23.47249859707805\n", "wfc_r: mean flux error: 1.5445971488952637, 3sigma log10( f [Jy]) : 22.235158791056385\n", "megacam_r: mean flux error: 0.020171120762825012, 3sigma log10( f [Jy]) : 26.9453717895098\n", "suprime_r: mean flux error: 0.03673762083053589, 3sigma log10( f [Jy]) : 26.294419294492123\n", "gpc1_r: mean flux error: 0.7111272150862947, 3sigma log10( f [Jy]) : 23.07732861430221\n", "wfc_i: mean flux error: 3.2868664264678955, 3sigma log10( f [Jy]) : 21.415241724860657\n", "suprime_i: mean flux error: 0.0400569848716259, 3sigma log10( f [Jy]) : 26.2005012221559\n", "gpc1_i: mean flux error: 0.7608708224089503, 3sigma log10( f [Jy]) : 23.003919537558964\n", "wfc_z: mean flux error: 9.724007606506348, 3sigma log10( f [Jy]) : 20.237583638466127\n", "megacam_z: mean flux error: 0.04639334976673126, 3sigma log10( f [Jy]) : 26.04105753501424\n", "suprime_z: mean flux error: 0.10882171243429184, 3sigma log10( f [Jy]) : 25.11540797383889\n", "gpc1_z: mean flux error: 0.6404433251641901, 3sigma log10( f [Jy]) : 23.19099510394556\n", "suprime_y: mean flux error: 0.20747078955173492, 3sigma log10( f [Jy]) : 24.414804463948023\n", "gpc1_y: mean flux error: 1.190484217844742, 3sigma log10( f [Jy]) : 22.517887757272312\n", "ukidss_j: mean flux error: 0.5760568380355835, 3sigma log10( f [Jy]) : 23.306033522579433\n", "ukidss_k: mean flux error: 0.7020628452301025, 3sigma log10( f [Jy]) : 23.091256888734485\n", "irac_i1: mean flux error: 0.8135667514426842, 3sigma log10( f [Jy]) : 22.93121388398942\n", "irac_i2: mean flux error: 1.0381956883724712, 3sigma log10( f [Jy]) : 22.666498810897743\n", "irac_i3: mean flux error: 5.451919405581034, 3sigma log10( f [Jy]) : 20.865823295353927\n", "irac_i4: mean flux error: 5.145973917282828, 3sigma log10( f [Jy]) : 20.928527911628528\n" ] } ], "source": [ "average_depths = []\n", "for f in filters:\n", " \n", " mean_err = np.nanmean(depths['ferr_ap_{}_mean'.format(f[0])])\n", " print(\"{}: mean flux error: {}, 3sigma log10( f [Jy]) : {}\".format(f[0], mean_err, flux_to_mag(3.0*mean_err*1.e-6)[0]))\n", " average_depths += [(f[0], 1.0*mean_err*1.e-6, \n", " 3.0*mean_err*1.e-6, \n", " 5.0*mean_err*1.e-6)]\n", "average_depths = np.array(average_depths, dtype=[('band', \"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "for dat in data:\n", " wav_deets = FWHM(np.array(dat[1]['Wavelength']*1.e-1), np.array(dat[1]['Transmission']))\n", " depth = np.log10(average_depths['5s'][average_depths['band'] == dat[0]])\n", " #print(depth)\n", " plt.plot([wav_deets[0],wav_deets[1]], [depth,depth], label=dat[2])\n", " \n", "plt.xlabel('Wavelength [nm]')\n", "plt.ylabel('log10( mean 5$\\sigma$ depth [Jy] )')\n", "plt.xscale('log')\n", "plt.legend(bbox_to_anchor=(1.05, 1), loc=2, borderaxespad=0., ncol=2, fontsize=10)\n", "#plt.ylim(-7, -3)\n", "#plt.title('M5$\\sigma$ depths on ELAIS-N1')\n", "\n", "plt.rc('font', family='serif', serif='Times')\n", "plt.rc('text') #, usetex=True)\n", "plt.rc('xtick', labelsize=12)\n", "plt.rc('ytick', labelsize=12)\n", "plt.rc('axes', labelsize=12)\n", "\n", "#ax.set_xticks([500, 1000, 1500, 10000]) \n", "#ax.set_xticklabels([\"50k\", \"100k\", ])\n", "\n", "column_width_cm = 8.9\n", "width_cm = 2.0 * column_width_cm\n", "hieght_cm = width_cm / 1.5\n", "width_inches = width_cm/2.5\n", "hieght_inches = hieght_cm/2.5\n", "fig.set_size_inches(width_inches, hieght_inches)\n", "plt.savefig('./figs/depths.pdf', bbox_inches='tight')\n", "plt.savefig('./figs/depths.png', bbox_inches='tight')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# HSC processing figures" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "\n", "\n", "RA_COL = \"hsc_ra\"\n", "DEC_COL = \"hsc_dec\"" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [], "source": [ "\n", "bands = [\"g\"]\n", "apertures = [\"10\", \"15\", \"20\", \"30\", \"40\", \"57\", \"84\", \"118\", \"168\", \"235\"]\n", "\n", "magnitudes = {}\n", "magnitude_errors ={}\n", "stellarities = {}\n", "\n", "for band in bands:\n", " magnitudes[band] = np.array(\n", " [orig_hsc[\"{}mag_aperture{}\".format(band, aperture)] for aperture in apertures]\n", " )\n", " magnitude_errors[band] = np.array(\n", " [orig_hsc[\"{}mag_aperture{}_err\".format(band, aperture)] for aperture in apertures]\n", " )\n", " stellarities[band] = 1 - np.array(orig_hsc[\"{}classification_extendedness\".format(band)])\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", "mag_corr = {}" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "stel_threshold=0.9\n", "labels=None\n", "\n", "mags = magnitudes['g'][:, stellarities['g'] > stel_threshold].copy()\n", "mag_diff = mags[1:, :] - mags[:-1, :]\n", "\n", "fig, [ax1, ax2] = plt.subplots(\n", " 2, 1,\n", " sharex=True,\n", " gridspec_kw={'hspace': 0},\n", " figsize=(9, 12)\n", ")\n", "\n", "ax1.plot([1, 1.5, 2.0, 3.0, 4.0, 5.7, 8.4, 11.8, 16.8, 23.5], np.nanmean(mags, axis=1))\n", "ax1.axvline(x=2.0, c='r')\n", "ax1.axvline(x=4.0, c='g')\n", "\n", "ax2.plot(1+np.arange(len(mag_diff)),\n", " np.nanmean(mag_diff, axis=1))\n", "ax2.axhline(0, c='black', linewidth=.5)\n", "ax2.axvline(x=2.0, c='r')\n", "ax2.axvline(x=4.0, c='g')\n", "\n", "if labels is not None:\n", " ax2.xaxis.set_ticks(np.arange(magnitudes['g'].shape[0]))\n", " ax2.set_xticklabels(labels)\n", " ax2.set_xlabel(\"Aperture\")\n", "else:\n", " ax2.set_xlabel(\"Aperture [arcsec]\")\n", "\n", "ax1.set_ylabel(\"Mean HSC g [mag]\")\n", "ax2.set_ylabel(\"Mean HSC g change [mag]\")\n", "\n", "plt.xscale('log')\n", "#plt.axvline(x=2.0, c='r')\n", "\n", "plt.rc('font', family='serif', serif='Times')\n", "plt.rc('text') #, usetex=True)\n", "plt.rc('xtick', labelsize=12)\n", "plt.rc('ytick', labelsize=12)\n", "plt.rc('axes', labelsize=12)\n", "\n", "column_width_cm = 8.9\n", "width_cm = 1.0 * column_width_cm\n", "hieght_cm = 3 * width_cm / 1.618\n", "width_inches = width_cm/2.5\n", "hieght_inches = hieght_cm/2.5\n", "fig.set_size_inches(width_inches, hieght_inches)\n", "plt.savefig('./figs/aperture_correct.pdf', bbox_inches='tight')\n", "plt.savefig('./figs/aperture_correct.png', bbox_inches='tight')" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mag = orig_hsc['gmag_aperture20']\n", "mag_target = orig_hsc['gmag_aperture40']\n", "stellarity = stellarities['g']\n", "\n", "mask = stellarity > .9\n", "\n", "# We exclude the 0.1% brighter and fainter sources\n", "mag_min, mag_max = np.nanpercentile(mag[mask], [.001, .999])\n", "mag_min = np.floor(mag_min)\n", "mag_max = np.ceil(mag_max)\n", "\n", "mag_bins = np.arange(mag_min, mag_max, step=.1)\n", "\n", "mag_cor = []\n", "mag_std = []\n", "\n", "for mag_bin_min in mag_bins:\n", " try:\n", " \n", " mag_diff, _, std = aperture_correction(\n", " mag, mag_target, stellarity, mag_bin_min, mag_bin_min + .1)\n", " except:\n", " #print('didntworked')\n", " mag_diff, std = np.nan, np.nan\n", " mag_cor.append(mag_diff)\n", " mag_std.append(std)\n", "\n", "mag_cor = np.array(mag_cor)\n", "mag_std = np.array(mag_std)\n", "\n", "fig, ax = plt.subplots()\n", "\n", "#plt.rc('figure', figsize=(9, 4))\n", "plt.plot(mag_bins, mag_cor, color='black')\n", "plt.fill_between(mag_bins, mag_cor - mag_std, mag_cor + mag_std, alpha=.3)#, facecolor='red')\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "plt.xlabel(\"HSC g [mag]\")\n", "\n", "\n", "\n", "plt.ylabel('Aperture correction [mag]')\n", "\n", "\n", "#plt.title('M5$\\sigma$ depths on ELAIS-N1')\n", "\n", "plt.rc('font', family='serif', serif='Times')\n", "plt.rc('text') #, usetex=True)\n", "plt.rc('xtick', labelsize=12)\n", "plt.rc('ytick', labelsize=12)\n", "plt.rc('axes', labelsize=12)\n", "\n", "column_width_cm = 8.9\n", "width_cm = 1.0 * column_width_cm\n", "hieght_cm = width_cm / 1.6\n", "width_inches = width_cm/2.5\n", "hieght_inches = hieght_cm/2.5\n", "fig.set_size_inches(width_inches, hieght_inches)\n", "plt.savefig('./figs/ap_correct_mag.pdf', bbox_inches='tight')\n", "plt.savefig('./figs/ap_correct_mag.png', bbox_inches='tight')" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [], "source": [ "imported_columns = OrderedDict({\n", " \"object_id\": \"hsc_id\",\n", " \"ra\": \"hsc_ra\",\n", " \"dec\": \"hsc_dec\"\n", " })\n", "\n", "\n", "catalogue = orig_hsc[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": 41, "metadata": {}, "outputs": [], "source": [ "\n", "gaia_coords = SkyCoord(gaia['ra'], gaia['dec'])" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "cat_ra = catalogue[RA_COL]\n", "cat_ra.unit = u.deg\n", "cat_dec = catalogue[DEC_COL]\n", "cat_dec.unit = u.deg\n", "\n", "gaia_coords.unit = u.deg\n", "ref_ra = gaia_coords.ra\n", "\n", "ref_dec = gaia_coords.dec\n", "\n", "radius=0.6*u.arcsec\n", "near_ra0=False\n", "limit_nb_points=None \n", "\n", "cat_coords = SkyCoord(cat_ra, cat_dec)\n", "ref_coords = SkyCoord(ref_ra, ref_dec)\n", "\n", "idx, d2d, _ = cat_coords.match_to_catalog_sky(ref_coords)\n", "to_keep = d2d <= radius\n", "\n", "# We may want to limit the number of points used.\n", "if limit_nb_points is not None and np.sum(to_keep) > limit_nb_points:\n", " random_mask = np.full(np.sum(to_keep), False, dtype=bool)\n", " random_mask[np.random.choice(\n", " np.arange(np.sum(to_keep)), limit_nb_points, replace=False)] = True\n", " to_keep[to_keep][~random_mask] = False\n", "\n", "# Use ra between -180 and 180 when around ra=0\n", "if near_ra0:\n", " cat_ra = cat_coords.ra.wrap_at(180 * u.deg)[to_keep]\n", " ref_ra = ref_coords[idx].ra.wrap_at(180 * u.deg)[to_keep]\n", "else:\n", " cat_ra = cat_coords.ra[to_keep]\n", " ref_ra = ref_coords[idx].ra[to_keep]\n", "\n", "cat_dec = cat_coords.dec[to_keep]\n", "ref_dec = ref_coords[idx].dec[to_keep]\n", "\n", "ra_diff = cat_ra - ref_ra\n", "dec_diff = cat_dec - ref_dec\n", "\n", "#sns.set_context(\"notebook\", font_scale=1.5, rc={\"lines.linewidth\": 2.5})\n", "#sns.set_style(\"dark\")\n", "\n", "\n", "# Joint plot\n", "\n", "jointplot = sns.jointplot(ra_diff.arcsec, dec_diff.arcsec, kind='hex', size=4.0)\n", "jointplot.set_axis_labels(\"RA diff. [arcsec]\", \"Dec diff. [arcsec]\")\n", "jointplot.ax_joint.axhline(0, color='black', linewidth=.5)\n", "jointplot.ax_joint.axvline(0, color='black', linewidth=.5)\n", "\n", "\n", "\n", "column_width_cm = 8.9\n", "width_cm = 1.0 * column_width_cm\n", "hieght_cm = width_cm \n", "width_inches = width_cm/2.5\n", "hieght_inches = hieght_cm/2.5\n", "fig.set_size_inches(width_inches, hieght_inches)\n", "plt.rc('font', family='serif', serif='Times')\n", "plt.rc('text') #, usetex=True)\n", "plt.rc('xtick', labelsize=12)\n", "plt.rc('ytick', labelsize=12)\n", "plt.rc('axes', labelsize=12)\n", "plt.savefig('./figs/astrometry1.pdf', bbox_inches='tight')\n", "plt.savefig('./figs/astrometry1.png', bbox_inches='tight')" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Scatter plot of the sources.\n", "fig, axis = plt.subplots()\n", "\n", "offset_angle = np.angle(ra_diff.arcsec + dec_diff.arcsec * 1j)\n", "offset_dist = np.absolute(ra_diff.arcsec + dec_diff.arcsec * 1j)\n", "offset_distnorm = (offset_dist - np.min(offset_dist)) / np.max(offset_dist)\n", "\n", "#cmap = mpl.colors.ListedColormap(sns.color_palette(\"husl\", 300))\n", "#colors = cmap(offset_angle) # The color is the angle\n", "#colors[:, 3] = offset_distnorm # The transparency is the distance\n", "\n", "im = axis.scatter(cat_ra, cat_dec, c=offset_angle, s=0.2)#vmin=0.0, vmax=360.,\n", "axis.set_xlabel(\"RA [deg]\")\n", "axis.set_ylabel(\"Dec [deg]\")\n", "axis.axis('equal')\n", "\n", "fig.colorbar(im, ax=axis).set_label('Direction of offset [radians]')\n", "# Optionally add a colorbar\n", "#cax, _ = mpl.colorbar.make_axes(ax)\n", "#cbar = mpl.colorbar.ColorbarBase(cax, cmap=cmap)\n", "\n", "column_width_cm = 8.9\n", "width_cm = 1.0 * column_width_cm\n", "hieght_cm = width_cm / 1.5\n", "width_inches = width_cm/2.5\n", "hieght_inches = hieght_cm/2.5\n", "fig.set_size_inches(width_inches, hieght_inches)\n", "plt.rc('font', family='serif', serif='Times')\n", "plt.rc('text') #, usetex=True)\n", "plt.rc('xtick', labelsize=12)\n", "plt.rc('ytick', labelsize=12)\n", "plt.rc('axes', labelsize=12)\n", "plt.savefig('./figs/astrometry2_old.pdf', bbox_inches='tight')\n", "plt.savefig('./figs/astrometry2_old.png', bbox_inches='tight')" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Scatter plot of the sources.\n", "fig, axis = plt.subplots()\n", "\n", "offset_angle = np.angle(ra_diff.arcsec + dec_diff.arcsec * 1j)\n", "offset_dist = np.absolute(ra_diff.arcsec + dec_diff.arcsec * 1j)\n", "offset_distnorm = (offset_dist - np.min(offset_dist)) / np.max(offset_dist)\n", "\n", "#cmap = mpl.colors.ListedColormap('rgb') #sns.color_palette(\"husl\", 300))\n", "#colors = cmap(offset_angle) # The color is the angle\n", "#colors[:, 3] = offset_distnorm # The transparency is the distance\n", "\n", "#colour = offset_angle\n", "#colour[:, 3] = offset_distnorm \n", "cmap = mpl.cm.get_cmap('viridis')\n", "colors = cmap(offset_angle) # The color is the angle\n", "colors[:, 3] = offset_distnorm # The transparency is the distance\n", "#normalize = matplotlib.colors.Normalize(vmin=min(offset_angle), vmax=max(offset_angle))\n", "#colors = [cmap(normalize(value)) for value in offset_angle]\n", "\n", "im = axis.scatter(cat_ra, cat_dec, c=colors, s=0.2)#vmin=0.0, vmax=360.,\n", "axis.set_xlabel(\"RA [deg]\")\n", "axis.set_ylabel(\"Dec [deg]\")\n", "axis.axis('equal')\n", "\n", "#fig.colorbar(im, ax=axis).set_label('Direction of offset [radians]')\n", "# Optionally add a colorbar\n", "cax, _ = mpl.colorbar.make_axes(axis)\n", "cbar = mpl.colorbar.ColorbarBase(cax, cmap=cmap, ticks = [0, 0.5, 1])\n", "cbar.set_label('Direction of offset [radians]')\n", "cax.set_yticklabels(['$-\\pi$', '0', '$\\pi$'])\n", "#cbar.set_clim(-np.pi, np.pi)\n", "\n", "\n", "column_width_cm = 8.9\n", "width_cm = 1.0 * column_width_cm\n", "hieght_cm = width_cm / 1.5\n", "width_inches = width_cm/2.5\n", "hieght_inches = hieght_cm/2.5\n", "fig.set_size_inches(width_inches, hieght_inches)\n", "plt.rc('font', family='serif', serif='Times')\n", "plt.rc('text') #, usetex=True)\n", "plt.rc('xtick', labelsize=12)\n", "plt.rc('ytick', labelsize=12)\n", "plt.rc('axes', labelsize=12)\n", "plt.savefig('./figs/astrometry2.pdf', bbox_inches='tight')\n", "plt.savefig('./figs/astrometry2.png', bbox_inches='tight')" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Scatter plot of the sources.\n", "fig, axis = plt.subplots()\n", "\n", "offset_angle = np.angle(ra_diff.arcsec + dec_diff.arcsec * 1j)\n", "offset_dist = np.absolute(ra_diff.arcsec + dec_diff.arcsec * 1j)\n", "offset_distnorm = (offset_dist - np.min(offset_dist)) / np.max(offset_dist)\n", "\n", "#cmap = mpl.colors.ListedColormap('rgb') #sns.color_palette(\"husl\", 300))\n", "#colors = cmap(offset_angle) # The color is the angle\n", "#colors[:, 3] = offset_distnorm # The transparency is the distance\n", "\n", "#colour = offset_angle\n", "#colour[:, 3] = offset_distnorm \n", "cmap = mpl.cm.get_cmap('viridis')\n", "colors = cmap(offset_angle) # The color is the angle\n", "colors[:, 3] = offset_distnorm # The transparency is the distance\n", "#normalize = matplotlib.colors.Normalize(vmin=min(offset_angle), vmax=max(offset_angle))\n", "#colors = [cmap(normalize(value)) for value in offset_angle]\n", "\n", "im = axis.scatter(cat_ra, cat_dec, c=colors, s=0.2, rasterized=True)#vmin=0.0, vmax=360.,\n", "axis.set_xlabel(\"RA [deg]\")\n", "axis.set_ylabel(\"Dec [deg]\")\n", "axis.axis('equal')\n", "\n", "#fig.colorbar(im, ax=axis).set_label('Direction of offset [radians]')\n", "# Optionally add a colorbar\n", "cax, _ = mpl.colorbar.make_axes(axis)\n", "cbar = mpl.colorbar.ColorbarBase(cax, cmap=cmap, ticks = [0, 0.5, 1])\n", "cbar.set_label('Direction of offset [radians]')\n", "cax.set_yticklabels(['$-\\pi$', '0', '$\\pi$'])\n", "\n", "column_width_cm = 8.9\n", "width_cm = 1.0 * column_width_cm\n", "hieght_cm = width_cm / 1.5\n", "width_inches = width_cm/2.5\n", "hieght_inches = hieght_cm/2.5\n", "fig.set_size_inches(width_inches, hieght_inches)\n", "plt.rc('font', family='serif', serif='Times')\n", "plt.rc('text') #, usetex=True)\n", "plt.rc('xtick', labelsize=12)\n", "plt.rc('ytick', labelsize=12)\n", "plt.rc('axes', labelsize=12)\n", "plt.savefig('./figs/astrometry2_raster.pdf', bbox_inches='tight')\n", "plt.savefig('./figs/astrometry2_raster.png', bbox_inches='tight')" ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "13.507484555454763" ] }, "execution_count": 48, "metadata": {}, "output_type": "execute_result" } ], "source": [ "\n", "hsc = orig_hsc['ra', 'dec']\n", "hsc['ra'].name = 'hsc_ra'\n", "hsc['dec'].name = 'hsc_dec'\n", "master_catalogue1 = wfc\n", "master_catalogue1['wfc_ra'].name = 'ra'\n", "master_catalogue1['wfc_dec'].name = 'dec'\n", "\n", "en1_area" ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "max_dist=2 * u.arcsec\n", "_, _, d2d, _ = SkyCoord(\n", " master_catalogue1['ra'], master_catalogue1['dec']\n", ").search_around_sky(\n", " SkyCoord(hsc['hsc_ra']*u.deg, hsc['hsc_dec']*u.deg), max_dist\n", ")\n", "\n", "ax = sns.distplot(d2d.arcsec, kde=False, ax=ax)\n", "\n", "plt.xticks(np.arange(max_dist.value))\n", "plt.xlabel(\"Distance [arcsec]\")\n", "ax.set_xticks([0, 0.5, 1.0, 1.5, 2.0]) \n", "\n", "\n", "#plt.ylabel('Density [arcsec$^{-1}$]')\n", "plt.ylabel('Density [arbitrary units]')\n", "#ax.set_yticks([50000, 100000, 150000]) \n", "#ax.set_yticklabels([\"50k\", \"100k\", ])\n", "#ax.set_yticklabels([ ])\n", "\n", "#plt.title('M5$\\sigma$ depths on ELAIS-N1')\n", "\n", "\n", "plt.rc('font', family='serif', serif='Times')\n", "plt.rc('text') #, usetex=True)\n", "plt.rc('xtick', labelsize=10)\n", "plt.rc('ytick', labelsize=12)\n", "plt.rc('axes', labelsize=12)\n", "\n", "column_width_cm = 8.9\n", "width_cm = 1.0 * column_width_cm\n", "hieght_cm = width_cm / 1.618\n", "width_inches = width_cm/2.5\n", "hieght_inches = hieght_cm/2.5\n", "fig.set_size_inches(width_inches, hieght_inches)\n", "\n", "\n", "plt.savefig('./figs/crossmatch.pdf', bbox_inches='tight')\n", "plt.savefig('./figs/crossmatch.png', bbox_inches='tight')" ] }, { "cell_type": "code", "execution_count": 53, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "\n", "\n", "fig, ax = plt.subplots()\n", "\n", "max_dist=2 * u.arcsec\n", "_, _, d2d, _ = SkyCoord(\n", " master_catalogue1['ra'], master_catalogue1['dec']\n", ").search_around_sky(\n", " SkyCoord(hsc['hsc_ra']*u.deg, hsc['hsc_dec']*u.deg), \n", " max_dist\n", ")\n", "#ax = sns.distplot(d2d.arcsec, kde=False, ax=ax)\n", "\n", "cells, fluxes = np.histogram(d2d.arcsec, bins=100, density=True)\n", "ax.fill_between(fluxes[1:],\n", " cells , step='pre')\n", "\n", "plt.xticks(np.arange(max_dist.value))\n", "plt.xlabel(\"Distance [arcsec]\")\n", "ax.set_xticks([0, 0.5, 1.0, 1.5, 2.0]) \n", "\n", "\n", "#plt.ylabel('Density [arcsec$^{-1}$]')\n", "plt.ylabel('Probability density [arcsec$^{-1}$]')\n", "#ax.set_yticks([50000, 100000, 150000]) \n", "#ax.set_yticklabels([\"50k\", \"100k\", ])\n", "#ax.set_yticklabels([ ])\n", "\n", "#plt.title('M5$\\sigma$ depths on ELAIS-N1')\n", "\n", "\n", "plt.rc('font', family='serif', serif='Times')\n", "plt.rc('text') #, usetex=True)\n", "plt.rc('xtick', labelsize=10)\n", "plt.rc('ytick', labelsize=12)\n", "plt.rc('axes', labelsize=12)\n", "\n", "column_width_cm = 8.9\n", "width_cm = 1.0 * column_width_cm\n", "hieght_cm = width_cm / 1.618\n", "width_inches = width_cm/2.5\n", "hieght_inches = hieght_cm/2.5\n", "fig.set_size_inches(width_inches, hieght_inches)\n", "\n", "\n", "plt.savefig('./figs/crossmatch.pdf', bbox_inches='tight')\n", "plt.savefig('./figs/crossmatch.png', bbox_inches='tight')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Check plots" ] }, { "cell_type": "code", "execution_count": 61, "metadata": {}, "outputs": [], "source": [ "\n", "flag_obs = master_catalogue['flag_optnir_obs']\n", "flag_det = master_catalogue['flag_optnir_det']" ] }, { "cell_type": "code", "execution_count": 62, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "venn3(\n", " [\n", " np.sum(flag_det[flag_obs == 7] == 4),\n", " np.sum(flag_det[flag_obs == 7] == 2),\n", " np.sum(flag_det[flag_obs == 7] == 6),\n", " np.sum(flag_det[flag_obs == 7] == 1),\n", " np.sum(flag_det[flag_obs == 7] == 5),\n", " np.sum(flag_det[flag_obs == 7] == 3),\n", " np.sum(flag_det[flag_obs == 7] == 7)\n", " ],\n", " set_labels=('mid-IR', 'near-IR', 'Optical'),\n", " subset_label_formatter=lambda x: \"{}%\".format(int(100*x/np.sum(flag_det != 0)))\n", ")\n", "#plt.title(\"Detection of the {} sources detected\\n in given wavelength domains \"\n", "# \"(among {} sources)\".format(\n", "# locale.format('%d', np.sum(flag_det != 0), grouping=True),\n", "# locale.format('%d', len(flag_det), grouping=True)));\n", "plt.rc('font', family='serif', serif='Times')\n", "plt.rc('text') #, usetex=True)\n", "plt.rc('xtick', labelsize=12)\n", "plt.rc('ytick', labelsize=12)\n", "plt.rc('axes', labelsize=12)\n", "\n", "column_width_cm = 8.9\n", "width_cm = 2.0 * column_width_cm\n", "hieght_cm = width_cm / 1.618\n", "width_inches = width_cm/2.5\n", "hieght_inches = hieght_cm/2.5\n", "fig.set_size_inches(width_inches, hieght_inches)\n", "plt.savefig('./figs/detection_pie.pdf', bbox_inches='tight')\n", "plt.savefig('./figs/detection_pie.png', bbox_inches='tight')" ] }, { "cell_type": "code", "execution_count": 63, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "table=master_catalogue\n", "column_names = [\"m_suprime_r\", \"m_megacam_r\", \"m_wfc_r\", \"m_gpc1_r\"]\n", "labels = [\"HSC r\", \"Megacam r\", \"WFC r\", \"GPC1 r\"]\n", "\n", "for name, label in zip(column_names, labels):\n", " mask = np.isfinite(table[name])\n", " if not np.isnan(table[name]).all():\n", " #vz.hist(table[name][mask], bins='scott', label=label, alpha=.5)\n", " ax =sns.distplot(table[name][mask], label=label, kde=False, bins=1000)\n", " else:\n", " print(\"HELP warning: the column {} ({}) is empty.\".format(\n", " name, label))\n", "\n", "ax.legend(loc=1, fontsize=8)\n", "\n", "plt.xlim(15.,35.)\n", "plt.xlabel(\"Magnitude [mag]\")\n", "plt.xticks([15., 20., 25., 30., 35.],[15, 20, 25, 30, 35])\n", "\n", "#plt.ylim(0.,0.4)\n", "plt.ylabel('Number [dex$^{-1}$]')\n", "\n", "plt.rc('font', family='serif', serif='Times')\n", "plt.rc('text') #, usetex=True)\n", "plt.rc('xtick', labelsize=12)\n", "plt.rc('ytick', labelsize=12)\n", "plt.rc('axes', labelsize=12)\n", "\n", "column_width_cm = 8.9\n", "width_cm = 1.0 * column_width_cm\n", "hieght_cm = width_cm / 1.618\n", "width_inches = width_cm/2.5\n", "hieght_inches = hieght_cm/2.5\n", "fig.set_size_inches(width_inches, hieght_inches)\n", "plt.savefig('./figs/depths_mags.pdf', bbox_inches='tight')\n", "plt.savefig('./figs/depths_mags.png', bbox_inches='tight')" ] }, { "cell_type": "code", "execution_count": 64, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of source used: 286866 / 4026292 (7.12%)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "x = master_catalogue['m_ukidss_j'] - master_catalogue['m_ukidss_k']\n", "y = master_catalogue['m_wfc_g'] - master_catalogue['m_ukidss_j']\n", "x_label = \"$J - K$ (UKIDSS) [mag]\"\n", "y_label = \"$g - J$ (WFC, UKIDSS) [mag]\"\n", "stellarity = master_catalogue[\"stellarity\"]\n", "alpha = 0.01 \n", "leg_loc = 4 \n", "invert_x=False \n", "invert_y=False \n", "x_limits=[-2.,2.] \n", "y_limits=[-1.,8.]\n", "\n", "x = np.array(x)\n", "y = np.array(y)\n", "stellarity = np.array(stellarity)\n", "\n", " # Mask of the sources for which we have information to plot\n", "mask = np.isfinite(x) & np.isfinite(y) & np.isfinite(stellarity)\n", "print(\"Number of source used: {} / {} ({:.2f}%)\".format(\n", " np.sum(mask), len(x), 100 * np.sum(mask)/len(x)))\n", "\n", "if np.sum(mask) == 0:\n", " print('HELP warning: no sources with observations in both bands')\n", "\n", "# We set the plot limits or zoom to remove outliers\n", "if x_limits is not None:\n", " x_min, x_max = x_limits\n", "else:\n", " x_min, x_max = np.percentile(x[mask], [.1, 99.9])\n", " x_delta = .1 * (x_max - x_min)\n", " x_min -= x_delta\n", " x_max += x_delta\n", "if y_limits is not None:\n", " y_min, y_max = y_limits\n", "else:\n", " y_min, y_max = np.percentile(y[mask], [.1, 99.9])\n", " y_delta = .1 * (y_max - y_min)\n", " y_min -= y_delta\n", " y_max += y_delta\n", "\n", "point_source = stellarity[mask] > 0.7\n", "\n", "#plt.figure(figsize=(10, 10), edgecolor=\"gray\")\n", "plt.xticks([-2,-1,0,1,2])\n", "\n", "ax.scatter(x[mask][~point_source], y[mask][~point_source],\n", " color='r', marker='v', alpha=alpha, s=1,\n", " label=\"Extended sources\")\n", "ax.scatter(x[mask][point_source], y[mask][point_source],\n", " color='b', marker='v', alpha=alpha, s=1,\n", " label=\"Point sources\")\n", "ax.set_xlabel(x_label)\n", "ax.set_ylabel(y_label)\n", "legend = ax.legend( markerscale=2)\n", "#legend.legendHandles[0]._sizes = [30]\n", "#legend.legendHandles[1]._sizes = [30]\n", "\n", "#for l in legend.legendHandles:\n", "# l.set_alpha(1)\n", "# l.set_marker('.')\n", "# l.set_size(10)\n", "for lh in legend.legendHandles: \n", " lh.set_alpha(1)\n", "\n", "ax.set_xlim([x_min, x_max])\n", "ax.set_ylim([y_min, y_max])\n", "if invert_x:\n", " ax.set_xlim([x_max, x_min])\n", "if invert_y:\n", " ax.set_ylim([y_max, y_min])\n", "\n", " \n", "plt.rc('font', family='serif', serif='Times')\n", "plt.rc('text') #, usetex=True)\n", "plt.rc('xtick', labelsize=12)\n", "plt.rc('ytick', labelsize=12)\n", "plt.rc('axes', labelsize=12)\n", "\n", "column_width_cm = 8.9\n", "width_cm = 1.0 * column_width_cm\n", "hieght_cm = width_cm / 1.0\n", "width_inches = width_cm/2.5\n", "hieght_inches = hieght_cm/2.5\n", "fig.set_size_inches(width_inches, hieght_inches)\n", "plt.savefig('./figs/colour.pdf', bbox_inches='tight')\n", "plt.savefig('./figs/colour.png', bbox_inches='tight')\n" ] }, { "cell_type": "code", "execution_count": 65, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of source used: 286866 / 4026292 (7.12%)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "x = master_catalogue['m_ukidss_j'] - master_catalogue['m_ukidss_k']\n", "y = master_catalogue['m_wfc_g'] - master_catalogue['m_ukidss_j']\n", "x_label = \"$J - K$ (UKIDSS) [mag]\"\n", "y_label = \"$g - J$ (WFC, UKIDSS) [mag]\"\n", "stellarity = master_catalogue[\"stellarity\"]\n", "alpha = 0.01 \n", "leg_loc = 4 \n", "invert_x=False \n", "invert_y=False \n", "x_limits=[-2.,2.] \n", "y_limits=[-1.,8.]\n", "\n", "x = np.array(x)\n", "y = np.array(y)\n", "stellarity = np.array(stellarity)\n", "\n", " # Mask of the sources for which we have information to plot\n", "mask = np.isfinite(x) & np.isfinite(y) & np.isfinite(stellarity)\n", "print(\"Number of source used: {} / {} ({:.2f}%)\".format(\n", " np.sum(mask), len(x), 100 * np.sum(mask)/len(x)))\n", "\n", "if np.sum(mask) == 0:\n", " print('HELP warning: no sources with observations in both bands')\n", "\n", "# We set the plot limits or zoom to remove outliers\n", "if x_limits is not None:\n", " x_min, x_max = x_limits\n", "else:\n", " x_min, x_max = np.percentile(x[mask], [.1, 99.9])\n", " x_delta = .1 * (x_max - x_min)\n", " x_min -= x_delta\n", " x_max += x_delta\n", "if y_limits is not None:\n", " y_min, y_max = y_limits\n", "else:\n", " y_min, y_max = np.percentile(y[mask], [.1, 99.9])\n", " y_delta = .1 * (y_max - y_min)\n", " y_min -= y_delta\n", " y_max += y_delta\n", "\n", "point_source = stellarity[mask] > 0.7\n", "\n", "#plt.figure(figsize=(10, 10), edgecolor=\"gray\")\n", "plt.xticks([-2,-1,0,1,2])\n", "\n", "ax.scatter(x[mask][~point_source], y[mask][~point_source],\n", " color='r', marker='v', alpha=alpha, s=1,\n", " label=\"Extended sources\", rasterized=True)\n", "ax.scatter(x[mask][point_source], y[mask][point_source],\n", " color='b', marker='v', alpha=alpha, s=1,\n", " label=\"Point sources\", rasterized=True)\n", "ax.set_xlabel(x_label)\n", "ax.set_ylabel(y_label)\n", "legend = ax.legend( markerscale=2)\n", "#legend.legendHandles[0]._sizes = [30]\n", "#legend.legendHandles[1]._sizes = [30]\n", "\n", "#for l in legend.legendHandles:\n", "# l.set_alpha(1)\n", "# l.set_marker('.')\n", "# l.set_size(10)\n", "for lh in legend.legendHandles: \n", " lh.set_alpha(1)\n", "\n", "ax.set_xlim([x_min, x_max])\n", "ax.set_ylim([y_min, y_max])\n", "if invert_x:\n", " ax.set_xlim([x_max, x_min])\n", "if invert_y:\n", " ax.set_ylim([y_max, y_min])\n", "\n", " \n", "plt.rc('font', family='serif', serif='Times')\n", "plt.rc('text') #, usetex=True)\n", "plt.rc('xtick', labelsize=12)\n", "plt.rc('ytick', labelsize=12)\n", "plt.rc('axes', labelsize=12)\n", "\n", "column_width_cm = 8.9\n", "width_cm = 1.0 * column_width_cm\n", "hieght_cm = width_cm / 1.0\n", "width_inches = width_cm/2.5\n", "hieght_inches = hieght_cm/2.5\n", "fig.set_size_inches(width_inches, hieght_inches)\n", "plt.savefig('./figs/colour_raster.pdf', bbox_inches='tight')\n", "plt.savefig('./figs/colour_raster.png', bbox_inches='tight')" ] }, { "cell_type": "code", "execution_count": 66, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of source used: 1487529 / 4026292 (36.95%)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "\n", "fig, ax = plt.subplots()\n", "\n", "x = master_catalogue['m_megacam_r']\n", "y = master_catalogue['m_ap_megacam_r'] - master_catalogue['m_megacam_r']\n", "x_label = \"$r$ total magnitude (CFHT) [mag]\"\n", "y_label = \"$r$ aperture mag - total mag (CFHT) [mag]\"\n", "stellarity = master_catalogue[\"stellarity\"]\n", "alpha = 0.009 \n", "leg_loc = 4 \n", "invert_x=False \n", "invert_y=False \n", "x_limits=[27.,16.] \n", "y_limits=[-2.,4.]\n", "\n", "x = np.array(x)\n", "y = np.array(y)\n", "stellarity = np.array(stellarity)\n", "\n", " # Mask of the sources for which we have information to plot\n", "mask = np.isfinite(x) & np.isfinite(y) & np.isfinite(stellarity)\n", "print(\"Number of source used: {} / {} ({:.2f}%)\".format(\n", " np.sum(mask), len(x), 100 * np.sum(mask)/len(x)))\n", "\n", "if np.sum(mask) == 0:\n", " print('HELP warning: no sources with observations in both bands')\n", "\n", "# We set the plot limits or zoom to remove outliers\n", "if x_limits is not None:\n", " x_min, x_max = x_limits\n", "else:\n", " x_min, x_max = np.percentile(x[mask], [.1, 99.9])\n", " x_delta = .1 * (x_max - x_min)\n", " x_min -= x_delta\n", " x_max += x_delta\n", "if y_limits is not None:\n", " y_min, y_max = y_limits\n", "else:\n", " y_min, y_max = np.percentile(y[mask], [.1, 99.9])\n", " y_delta = .1 * (y_max - y_min)\n", " y_min -= y_delta\n", " y_max += y_delta\n", "\n", "point_source = stellarity[mask] > 0.7\n", "\n", "#plt.figure(figsize=(10, 10), edgecolor=\"gray\")\n", "plt.xticks([26,24,22,20,18,16])\n", "\n", "ax.scatter(x[mask][~point_source], y[mask][~point_source],\n", " color='r', marker='v', alpha=alpha, s=1,\n", " label=\"Extended sources\")\n", "ax.scatter(x[mask][point_source], y[mask][point_source],\n", " color='b', marker='v', alpha=alpha, s=1,\n", " label=\"Point sources\")\n", "ax.set_xlabel(x_label)\n", "ax.set_ylabel(y_label)\n", "legend = ax.legend( markerscale=2)\n", "#legend.legendHandles[0]._sizes = [30]\n", "#legend.legendHandles[1]._sizes = [30]\n", "\n", "#for l in legend.legendHandles:\n", "# l.set_alpha(1)\n", "# l.set_marker('.')\n", "# l.set_size(10)\n", "for lh in legend.legendHandles: \n", " lh.set_alpha(1)\n", "\n", "ax.set_xlim([x_min, x_max])\n", "ax.set_ylim([y_min, y_max])\n", "if invert_x:\n", " ax.set_xlim([x_max, x_min])\n", "if invert_y:\n", " ax.set_ylim([y_max, y_min])\n", "\n", " \n", "plt.rc('font', family='serif', serif='Times')\n", "plt.rc('text') #, usetex=True)\n", "plt.rc('xtick', labelsize=12)\n", "plt.rc('ytick', labelsize=12)\n", "plt.rc('axes', labelsize=12)\n", "\n", "column_width_cm = 8.9\n", "width_cm = 1.0 * column_width_cm\n", "hieght_cm = width_cm \n", "width_inches = width_cm/2.5\n", "hieght_inches = hieght_cm/2.5\n", "fig.set_size_inches(width_inches, hieght_inches)\n", "plt.savefig('./figs/ap_vs_tot.pdf', bbox_inches='tight')\n", "plt.savefig('./figs/ap_vs_tot.png', bbox_inches='tight')" ] }, { "cell_type": "code", "execution_count": 67, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of source used: 1487529 / 4026292 (36.95%)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "x = master_catalogue['m_megacam_r']\n", "y = master_catalogue['m_ap_megacam_r'] - master_catalogue['m_megacam_r']\n", "x_label = \"$r$ total magnitude (CFHT) [mag]\"\n", "y_label = \"$r$ aperture mag - total mag (CFHT) [mag]\"\n", "stellarity = master_catalogue[\"stellarity\"]\n", "alpha = 0.009 \n", "leg_loc = 4 \n", "invert_x=False \n", "invert_y=False \n", "x_limits=[27.,16.] \n", "y_limits=[-2.,4.]\n", "\n", "x = np.array(x)\n", "y = np.array(y)\n", "stellarity = np.array(stellarity)\n", "\n", " # Mask of the sources for which we have information to plot\n", "mask = np.isfinite(x) & np.isfinite(y) & np.isfinite(stellarity)\n", "print(\"Number of source used: {} / {} ({:.2f}%)\".format(\n", " np.sum(mask), len(x), 100 * np.sum(mask)/len(x)))\n", "\n", "if np.sum(mask) == 0:\n", " print('HELP warning: no sources with observations in both bands')\n", "\n", "# We set the plot limits or zoom to remove outliers\n", "if x_limits is not None:\n", " x_min, x_max = x_limits\n", "else:\n", " x_min, x_max = np.percentile(x[mask], [.1, 99.9])\n", " x_delta = .1 * (x_max - x_min)\n", " x_min -= x_delta\n", " x_max += x_delta\n", "if y_limits is not None:\n", " y_min, y_max = y_limits\n", "else:\n", " y_min, y_max = np.percentile(y[mask], [.1, 99.9])\n", " y_delta = .1 * (y_max - y_min)\n", " y_min -= y_delta\n", " y_max += y_delta\n", "\n", "point_source = stellarity[mask] > 0.7\n", "\n", "#plt.figure(figsize=(10, 10), edgecolor=\"gray\")\n", "plt.xticks([26,24,22,20,18,16])\n", "\n", "ax.scatter(x[mask][~point_source], y[mask][~point_source],\n", " color='r', marker='v', alpha=alpha, s=1,\n", " label=\"Extended sources\", rasterized=True)\n", "ax.scatter(x[mask][point_source], y[mask][point_source],\n", " color='b', marker='v', alpha=alpha, s=1,\n", " label=\"Point sources\", rasterized=True)\n", "ax.set_xlabel(x_label)\n", "ax.set_ylabel(y_label)\n", "legend = ax.legend( markerscale=2)\n", "#legend.legendHandles[0]._sizes = [30]\n", "#legend.legendHandles[1]._sizes = [30]\n", "\n", "#for l in legend.legendHandles:\n", "# l.set_alpha(1)\n", "# l.set_marker('.')\n", "# l.set_size(10)\n", "for lh in legend.legendHandles: \n", " lh.set_alpha(1)\n", "\n", "ax.set_xlim([x_min, x_max])\n", "ax.set_ylim([y_min, y_max])\n", "if invert_x:\n", " ax.set_xlim([x_max, x_min])\n", "if invert_y:\n", " ax.set_ylim([y_max, y_min])\n", "\n", " \n", "plt.rc('font', family='serif', serif='Times')\n", "plt.rc('text') #, usetex=True)\n", "plt.rc('xtick', labelsize=12)\n", "plt.rc('ytick', labelsize=12)\n", "plt.rc('axes', labelsize=12)\n", "\n", "column_width_cm = 8.9\n", "width_cm = 1.0 * column_width_cm\n", "hieght_cm = width_cm \n", "width_inches = width_cm/2.5\n", "hieght_inches = hieght_cm/2.5\n", "fig.set_size_inches(width_inches, hieght_inches)\n", "plt.savefig('./figs/ap_vs_tot_raster.pdf', bbox_inches='tight')\n", "plt.savefig('./figs/ap_vs_tot_raster.png', bbox_inches='tight')" ] }, { "cell_type": "code", "execution_count": 68, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = master_catalogue['m_gpc1_r']\n", "y = master_catalogue['m_wfc_r']\n", "labels=(\"GPC1 $r$ (total) [mag]\", \"WFC $r$ (total) [mag]\")\n", "\n", "x_label, y_label = labels\n", "\n", "# Use only finite values\n", "mask = np.isfinite(x) & np.isfinite(y)\n", "x = np.copy(x[mask])\n", "y = np.copy(y[mask])\n", "alpha = 0.01\n", "\n", "\n", "fig, ax = plt.subplots()\n", "\n", "\n", "\n", "# Hexbin\n", "im = ax.hexbin(x, y, cmap='Oranges', bins=\"log\")\n", "\n", "fig.colorbar(im, ax=ax, label=\"log10(count)\",fraction=0.046, pad=0.04)\n", "#ax.scatter(x, y,\n", "# color='b', marker='v', alpha=alpha, s=1,\n", "# label=\"Point sources\")\n", "min_val = np.min(np.r_[x, y])\n", "max_val = np.max(np.r_[x, y])\n", "\n", "#im = ax.plot([min_val, max_val], [min_val, max_val], \"k:\")\n", "\n", "#fig.colorbar(im, ax=ax).set_label('Mean error ($\\mu$Jy)')\n", "\n", "ax.plot([min_val, max_val], [min_val, max_val], \"k:\")\n", "#\n", "\n", "\n", "#ax.autoscale(False)\n", "ax.set_xlabel(labels[0])\n", "ax.set_ylabel(labels[1])\n", "ax.axis('equal')\n", "#display(fig)\n", "#plt.close()\n", "\n", "\n", "plt.rc('font', family='serif', serif='Times')\n", "plt.rc('text') #, usetex=True)\n", "plt.rc('xtick', labelsize=12)\n", "plt.rc('ytick', labelsize=12)\n", "plt.rc('axes', labelsize=12)\n", "\n", "plt.xticks([12,14,16,18,20,22,24,26])\n", "plt.yticks([12,14,16,18,20,22,24,26])\n", "\n", "column_width_cm = 8.9\n", "width_cm = column_width_cm\n", "hieght_cm = width_cm \n", "width_inches = width_cm/2.5\n", "hieght_inches = hieght_cm/2.5\n", "fig.set_size_inches(width_inches, hieght_inches)\n", "ax.set_xlim([11, 26])\n", "ax.set_ylim([11, 26])\n", "plt.savefig('./figs/mag_compare.pdf', bbox_inches='tight')\n", "plt.savefig('./figs/mag_compare.png', bbox_inches='tight')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And in terms of mag difference at reviewers request" ] }, { "cell_type": "code", "execution_count": 80, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = master_catalogue['m_gpc1_r']\n", "y = master_catalogue['m_wfc_r']\n", "labels=( \"GPC1 $r$ [mag]\", \"WFC - GPC1 $r$ [mag]\")\n", "\n", "x_label, y_label = labels\n", "\n", "# Use only finite values\n", "mask = np.isfinite(x) & np.isfinite(y)\n", "x = np.copy(x[mask])\n", "y = np.copy(y[mask] - x)\n", "alpha = 0.01\n", "\n", "\n", "fig, ax = plt.subplots()\n", "\n", "\n", "\n", "# Hexbin\n", "im = ax.hexbin(x, y, cmap='Oranges', bins=\"log\")\n", "\n", "fig.colorbar(im, ax=ax, label=\"log10(count)\",fraction=0.046, pad=0.04)\n", "#ax.scatter(x, y,\n", "# color='b', marker='v', alpha=alpha, s=1,\n", "# label=\"Point sources\")\n", "min_val = np.min(np.r_[x, y])\n", "max_val = np.max(np.r_[x, y])\n", "\n", "#im = ax.plot([min_val, max_val], [min_val, max_val], \"k:\")\n", "\n", "#fig.colorbar(im, ax=ax).set_label('Mean error ($\\mu$Jy)')\n", "\n", "#ax.plot([min_val, max_val], [min_val, max_val], \"k:\")\n", "#\n", "\n", "\n", "#ax.autoscale(False)\n", "ax.set_xlabel(labels[0])\n", "ax.set_ylabel(labels[1])\n", "#ax.axis('equal')\n", "#display(fig)\n", "#plt.close()\n", "\n", "\n", "plt.rc('font', family='serif', serif='Times')\n", "plt.rc('text') #, usetex=True)\n", "plt.rc('xtick', labelsize=12)\n", "plt.rc('ytick', labelsize=12)\n", "plt.rc('axes', labelsize=12)\n", "\n", "\n", "plt.xticks([12,14,16,18,20,22,24])\n", "plt.yticks([-2, -1, 0, 1, 2])\n", "ax.set_xlim([14, 25])\n", "ax.set_ylim([-2, 2])\n", "\n", "column_width_cm = 8.9\n", "width_cm = column_width_cm\n", "hieght_cm = width_cm \n", "width_inches = width_cm/2.5\n", "hieght_inches = hieght_cm/2.5\n", "fig.set_size_inches(width_inches, hieght_inches)\n", "\n", "plt.savefig('./figs/mag_compare_diff.pdf', bbox_inches='tight')\n", "plt.savefig('./figs/mag_compare_diff.png', bbox_inches='tight')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Outliers" ] }, { "cell_type": "code", "execution_count": 69, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "GPC1 $g$ - Megacam $g$ (Total) [mag] (149397 sources):\n", "- Median: 0.08\n", "- Median Absolute Deviation: 0.15\n", "- 1% percentile: -3.053208236694336\n", "- 99% percentile: 0.909821548461915\n", "Outliers separation: log(chi2) = 5.44\n", "Number of outliers: 5600\n", "\n" ] }, { "data": { "image/png": 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0KKW4ZkeAG94udWrXb8rxz/+UorUrSJUj7TNb+ixito+5d3RWPHFiFTs3dLD/1DJCUXMZLSb551zYv3KBZ2MoJuZMMRgKMN02fuMvrHVrgzxwTwrQ9PZCNKp58iHpY/7sYwnuu8+msydIMqNwcpql1Tmuu9ZhcNCmp8+iLJJjeFhR4s8xEPejlKa63CEUyHH0hEV/TNGRKCU3404rDkErR8Cn2bFhiDUNEApBy1moXzM/GeolJSU88cQThEKzaUc4ryxDKlz8NnADkAUeQCpnfDp/xculWUQq5bD/1xY11Q69fRabr3LGLJ8stvJCVzpwue4tEc40x8hlYFU9vP7mKFt3l7FllxSSX9s4SE+/Zl1jlrZ2i4aVg5w6l+R0b1lREooOdy/njVvb+ae7yrj69eUXTcOExd7sIf+cqwxtvWTPucsRIzgNhgLMNiloy64oN906zI/+LUs6owjlYP+LDi1nJdasvTtI92AAlCKRCmDrFMHgMOXl0NlnsXqVQ/+AQ9eAn/iwn0DAprW7hIDPYSARYCAXRM+qrZ+fjKOx0z66etOsW2OTycBb3xGgNOIraoa6bds89NBDvOMd76CxsbEoYxYZ14r5Da11O4BS6n9RQHBeLoTCFjt25MikFY2rNaHwWCvgZAlA81XpYCphtHV3Ge/zqTHLwXPxl5UrVq3IsWSJpm5FjnRG8Xu/D68e7ONnD1sc7FzKXEXn82eW89u39/KDHznsemvVnMa6UFzoZg8Gg4sRnAZDAfLdhI4tbfymYxGwfIrbP7SEjnMdvLDXJhyGRBLSKU0gAENxH0PDAbSyUNohayt+8biPdMZiIO7n4KkSclrhUw7KUgSVJueI+z2eC6CZvfXIRqGw6OgPMTiQ4Hf/IDgmvrRY3HXXXXzoQx9iz549vPGNbyzq2MVAa92vlDqH1Py97Cgk5OrXl3DyaE6aDPRp6teXTD3QCLPJRp9oHvnfxamEUf52C8VGN67x09npEC2FVav91K/2URrxseP6UlrODtCfHKQ1FkXP6TKoODlQy4fe38WvzzoXRSLRwoZAGC5njOA0GAqQ7yY8cigHQKQ8Ny2LgOVTLF/lI5aEYMihrdMiFrNJ5yxsDRqLnGMR8mn8Pk0qa0mCEBY5R5HWPkqUJmg52DZkHR+DSf9I3+jZotD4gCzLK1O86c3WvIhNgPe///1UVFTwhje8oehjF5HvAh9XSv0ccal/EvjPhZ3ShWGiou4w//VYp5pH/nk1lTDKF5nJhE1Ls011rcWZZgdw2Hyln1X1msbVPl5/c3SMoF1V14fzoo+qYIq+TClzjes81FnNNz7dxie+Wreo3NOFWKgQiLliEoYufozgNBgKkH8BblztEI5YM7IIhEIWO7ZnSaUUwUCO5mZFOg3rVqUJdGj6k0EClsOqJWkUmqG4n2TGIq192PhJaotkFgLZLAHLITWnU9VBAX5ylIWyvObqLK+/ubLoF8bTp09TXV1NRUUF73rXu4o69jzwRaAWOAakgHuALy/ojC4QhYXc7KyUM2G8RbPlRHpSQTmVMMoXrM88nqO+UbFmg5/NV8JwwmHZSj87ri8t6JG4/s2ltLbFOXbKT2lvlp54mBRBZis8NRb/fr/FTe+OL3r39ELcXBgMYASnwVCQfHfdK3tj7PlpAss3fYtA/YYSTh7LATbtnX7WrLE5fEyRSMJwJkAkYBMK2kQimqs2ZznxYCm96TBuD2g10iUohx/H0SNuv9kIRI0Pm/JAhqpohoblaXZe6yv6RcZxHN75zncSjUZ56qmnUGpxW3m01lngoyOPy4qFsnCNt2jWNUgZpYnmMZUwyhfO9Q05zp3V1K/OMTSoufHW6KTCb80VIXa/3uatb1c8+csUL7yU42RnlLgdZHZ92C2a2/y0vNDB1iscKC+HRXoOzDYEwmCYK4s/4MRgWGC27Ipy460Rlizzc+Ot0ytqvWVXlDfcUkr7OYeycI7GtRab1mWxFGxuiPG6bQlu2JninbdbrFkXIOeM7YIiwYUWGj/2rJKEZBQ/acr9aSpKM2zfPExNlWJlg7/o1k3LsvjWt77Fl7/85UUvNmdLb28vBw4cACQxqqmpiZdffhmAbDZLU1MTr7zyCgCpVIqmpiYOHz4MQDKZpKmpiaNHjwIQj8dpamrixIkTAAwODtLU1MSpU6cA6O/vp6mpiebmZgB6enpoamqipaUFgK6uLpqammhtlfKhHR0dNDU10dHRAUBraytNTU10dXUB0NLSQlNTEz09PWzZFeXK6/royv6EnW/KsmVXlFOnTtHU1MTg4CAAJ06coKmpiXg8DsDRo0dpamoimUwCcPjwYZqamkilUgC88sorNDU1kc2Ka/zll1+mqakJ27YBOHDgAI888cNRgWhFD9Pc/+DoeVV/1XEOnPBKZ+3du5cf3fNDtu4u4+b31TDkHOTef//x6PKnnnqKc7FHGejTDPbnsCoOsPG6x0fP0a7EC2NKcT322GM8+OCDo89bB5+hYs1elq308/FPl/N7f/gUv/3uh2mMDhJkmLe//SHe+tbHRte/7baf8uY3/3L0+e23/4Q3vWnP6PN3ves/2LJrP6l9r8DTT3PvXXfx1JNe06p77rmHZ555ZvT5D37wA/bu3Tv6/Pvf/z4vPP88DA5Cezt3/eu/sm/fvtHlTU1Nl8R3D6C5uZmmpib6+/sBRr97hQiVx6hZc+qS3u/5POfyj+u+ffu46667Rp+/8MILfP/73x99vnfvXn7wgx+MPn/mmWe45557Rp8/9dRT3HvvvaPPH3/8ce67776Cn9tEGAunwTAFs7EIuMWvoxUW/YPwwAMQS4bYsi5NKuNj+w5NWYWPG94W4YffHmQ4M/5UlLaUs8emhCw+S7Giepg1q3IsXWpR36AJhYp7n9nR0cHy5cu5/vrrizquYX6wfIo1W0o50xVg0/Z5KImjNSSTkMmIgKqS7O2SkMVAt1g0kwkoXeL1Q3/hhRDHjk0yD60hm4X2digtBa0pr/bz2msitJ7KULI0iBUKcfO7awD41a8m3yelFNXLAtx8q6x/8FiQ+FCKq+t6iXRGCJIhN0NLZwUDhP79Pli2BurqIJ2e0ftJpWT/Skrk2A0PT/2eS5ywP8sndz/Htt3PYfPZhZ6OYY4orS/LRE127typX3zxxYWehuES5qF/62H/c2lefknz0tESllTabFqfI5UCnw/e+TtBbvtALV/4SBv/8L0o/dnwSLSlBTjMzrUHoCkhg6U0CqgqTbP9ihRXbHRoWCsWoGLFmT3++OPccsst3H///dxyyy3Tfp9Sap/WemdRJnGBuCR+M7SWHpDJpAi3Yrh+x4+pNXR0iHBKp2HFCqiomFv9xxHL3/gxi4Vja1558DRPP9RPa4uD3dHJ0RMB9sY20s4KmCJhr4JOPsy/8gF+wNaGOHz0o/DOd8LGjdM/vu3tIjrdfQyFZD8vEwr9JuxcuVK/eMcd8uTzn1+AWRmmw3R/z42F02CYBrO5WKZSDgdeskgkNAGfQzjkMDSkaOuwqKzI8ddf0dz1zy2k0xZloSyJrH8kcSHHXE/NHBYl2OTwkbUtslnNuo3SIaaY8ZvXXHMNf/RHf2SsmxcLQ0OecBtx5c1ZuI0fUyn5u2SktFIyCRUVc4sdTCYLjlksLJ/i6jfVcPWmtFgXf92D89OHeOWJXp7oWseveCMHuYI26sgQwsKhhCRlJNnEEW7np9zIk2zhMJzVsG8f3HijHJvpzrO01PtM0mmori7a/hkMiwEjOA2XH7Ow8symWHIgoCgJ5DjTHyAY0JQEbA6fDJFMORxrLcfWipeay1kWidOTKCWF23ZvbDznzHEIkiNgaSKBLOGATU2F5rq3RIrWVSSdTuP3+6msrOTrX//6nMczXCDmQ7iNHzOT8dzJxRJO8y3GtJaHZYll8bbbsLq7ubrv51x96hE+1vztmY33yivQ1weJxPSPb3m5/J9Myv65zw3GunmJYASn4fJjFlae2RRLPnk4zaHjJVSWOTS3BXBsTVVFhtNdlWQdH6DJ4KMlUYEITFcIzk0QlqosNWVpSkscgn4oDee48irFEz9PYvkUW3ZF59TaTmvNRz/6Udrb23nwwQfx+Wbr+jdccOZDuI0fc/lyuYErpnCabzE2NDQ2DMDvhx07oKsL1q8XAXnwIMRi0xvv8GF44gnYsmX6c1BKfocqKuYn9MFgWGCM4DRcfszCylOolMxUbvahmGJDYxZ/QJHLZdAONNZpXm3Okkr7sbGYfZzmRGSpq0mwekWW3bs0/QOwfIXiyh0hYoMilGFure2UUuzevZuOjg4jNi825kO4FRrTFU/FIl+MTcVsxNr434REAsrKoLFR4ipDIdm3hx+W5KXp8JOfwG/+JjQ0zFwsTvem2AhTw0WEEZyGy49ZWHkK1QScys2+dXuAlw/alJc7hPsUZaU27Z0+6moyZLt8DOVKkEz0Yl0gNKsiMbZfkeV33ufntz68dHSOsUFPKE9orZ3GxUtrjVKKD3/4w+M2bS58FwUzEW6FmOhznsuYxWY2carjfxPcG6m6OujshJoaGBgQi+XBg+A4U8/j1VfhkUfgiiugsnJm+zDdm+L5iMk1GOYJIzgNlx+zsPIUSniYys1+2wdqgR5efUlz09ss1mwK8x/fj3PkqEN1WYbnj1WS1LMtNF0ITagEPvu18lFra+Hi2fHChb+nuHh1dnZyyy238Hd/93fnt600F77Lg4vhc55NnOr434R4HIJBEZpKyb6mUhAIQH09nDkzvbmcPi2CdaaCc7o3xfOcTLUoMPGblwxGcBouP4pkkZmqY4vlU2y4KkxpJMOKRonhXLHSAu1QHrF5+WSWZK6YXV40y6oybN29ZMwcxgvlCTu4THHxisfj+P1+Kgodt8vhwme4OD7n0lKxRg4NiWhbvVoss5NZ3Mf/JgwOQlsbRKMSz7lypWSeZzIQDktt0ZEC3pNy8OD0XfD5FLopdhw4d06SkaqrYdWq84VpVZU8N54GwyLECE6DYZZM1XrPdWeXVyju/f4wZ1sVJQFFRbni5JkAqdzsezefjyZIli0bcji2njQJaMLyNFNYVdatW8fzzz9fuJOQKelyebAYP+fxbv6yMohEoKdHBGRHhxRRX758+gLM7xdBZ9viXk+n4bWvlfcOD8OSJZDLwYsvTi4oW1rg17+GK68svN2JQhQK3RS3tEjyUjQqYhjE2gqeMNV68VugDZctRnAaDLPEFW5bdkny0KM/6qNubZDNOyIc2Z/gge/FsHzgOIpTZ/x0dPvI2BDyO3QOBkkW7fST5g0lPk1llcWrL8THxJJOu4boBKEGd999N/v37+erX/0qfv8EczYlXS4PFvJznkicFXLz+/0itAYGxBJp2/J+mJ4Ai0Rk3JISyUxfvlyE5rXXivhsbZUM9vJySSSaCNuGAwfgttsKu9VnEqLQ1ydiMxr1njc0jBWm7ljBoMz79GlYs8ZYOg2LAiM4DYY5Mj556OiBJPuey9Haqjl60ge2pr0vwNBwgKzjJ+eANdpRqBgXAQU4BHwOqTTnxZJOu4boBKEGBw4c4Pnnn2fSrmSLLXHEMD8s5Oc8kTgr5ObP5cT9nE6LMFu5UpZPNwQgX1ivXi0xnW7LznXrJHmorU0EbSwGeX3SxxCLifidKI4zmRRxmEqJiO3uhq1bPUtqvrCurvYsm7GYPHdbfbrruBboWEz2v65O1nGPlcGwgBjBabhsmVOrvTzc5KGyCj8tzWke+bnEi5WXaXr6AyTTPmLpADnbwkZh4YzYJIuXnW4Bfp/DS4f83PE/xsaFzqaGqAwrFqWv/emfkrIsAhNZNw2GC8FE8aP5bn63b2xvr4gw2xYhlsvNLASgUE3MykqxKPp8IuKWLRMxaduSkT4wcP442axYWNvbz3fpu/3hDx+GEyckBKC2VkTlkiUidPOF9apV8rcbw2lZsr/567hC+fRpEZu1tRJ3uhhjbQ2XHcUKIJsxSqmPKaVeVEqllVJNea+vVkpppVQ87/HZScZZrZT6lVIqqZQ6opR6ywXZAcNFj2uuSHTYAAAgAElEQVT56+7MseenCV59IT6rcerWBhno07z6Upr9+xWW0nR0++jo9FEScCgrzREO5MiiyOIjTZAMPoonOKGEDA6KK9Znz4sldec32C/JTXVrp05UchyHP/v4xzn1/POQShHq75eLrsGwUJSWimh0H6Wl8np5ufQcD4XEFZ5IiCh020rW1YlAW7Fi4hAArb1+7QMD8mhvHyvmVq4UwRmNyvqJhKxXWenFUhbiF78QUXnsmDceyPwSCRGkBw/K81OnoLlZ3PXpkTabp097LUMbGmDbNsmeD4fFOprJyPvOnvWsmatXizB3uz65x8pgWEAW0mTRBnwJuBkIF1heqbXOTWOcHwDPAm8fedyrlNqgte4u2kwNlySztvyNwxV4D3wvxo7tDqVhi1/80mY4BeVRm55+P0OpIPmnm9g4i1OD00+GmmiahmXD3PFn5WOstpt3RHBsTcCvSQxp3nDLNHqpa83xffv47l13sSkQ4I477piZO9JgKCauhTGREOHk94+NH823Rra3i/B0lzkObNw4dQxjvrv+3Dl5rba2cFxlMimCr6xMBGdJCWzaBEePisAbT2cn3H23bCMc9lzriYSsPzAg+5TJyHzdQvOuQF26VP5fs0asnENDnvu9rEyWufvuLl++XAS2iak2LCIWTHBqre8DUErtBFbNZgyl1EZgB/BWrfUw8O9KqU8C7wb+sVhzNVyaTFXWaLq4yUPAaFb61q056ustUsM299zr0NwfxQY8kVks54LD6uoEO7ak+Z3/EsAftMbEax4/OEzrWYfKaouBPslenzJsYGiITcCRb3yDJdmsXEjr6uTCbTBcaPLFYDotQmqiGx+3JFIsJkKssXHmnYYcR0TuRKWfXBd+SYm4taNRGb+mxrMw5pNISN3On/5UyhZt3SqvZzKSwd7WJvvY0CBic8UKWdbfLxbM48fFfZ9IiOVzaMgLEejtFWtmaanM27ZlXsPDkx8ng2EBWDCX+jQ4o5Q6p5T6rlKqdoJ1rgROaa3zG9y+NPL6eSil7hhx47/Y3W0MoJc7W3ZFufHWCEuW+bnx1mlY/qY53rKVft73R+V8+DPLKI36iEahoiSDDxuvZ3qxXOqKJZUZ3vv+IL/14aW0n8mOWm0rqxWvvpQb81xaW07M8WPH+N63vw2dnSwtL5cSSJ2dsrBs+u0vDYYx5LusBwe9jPHpkC8GXUv7RJSXi1t9YEC+r21tsGcPPPmkiD63Q9D4+YTDnqvesrxSSIXc0fkufMsSoXnddfL/RHHOsZi4vZ94QkQhiHiMx0VM1tSIRfXKK2Vu8biI2K4ueX76tAjQzk55zbLEirl8ueyTzyfvcedtXOiGRchizALoAXYBB4Aa4FvA9xHX+3iiwOC41waBukIDa62/DXwbYOfOnTP4xTMYpsbr7CMu7eMHhzl9wqazN4jWCrd8UTFjN8EhElaEwhaWT51ntd1yjZ/Wsw7TteL+7Ve/yr333cfbv/Y1qs+elQtoba1cMGOxS85iopTaABwE7tVa//5Cz+eSZS4digrV/pysfqVbEmlwUKzzQ0Pilm5vl+9wTY0k6yQSIhoHB8e6oDdskG0NDxd2R+e78IeGvPJEmzZ54nC8KB4YkO0dOiS1NK+5RvbFHaekRPYjHpfxAgHPXQ/ihrcs2Y9MRmpyRiKyL42Nsn5Vlex7JGJc6IZFyaITnFrrOPDiyNNOpdTHgHalVLnWenzWQhwYf2aVAzEMhik4r1yQ1mzdoufUpSN/zGcez+H3a5bV5ugbyjGQKaH4TgVNIqVIDYvlZrQY/ck027Zm2LzR5sgxRWtXkG3XlUxsxbVtOHyYb775zXzita+lev16ce8Fg7B2rRyPSzOG81vACws9iUueuXQoKlT7s5CAdV9vbZXEG8vySgNVVsp6x4+LIGtpkdfKy0WENjdLjOSyZfI8mRSrp9ZSOH6i34Nly7yanJs3y3xqa0V0KiWZ54mErJvNynZ+9SsRh+5NnGvtTaclbtMtJG9ZMtby5V6bzepqz6VeVSVW3IoK2Zd8Ee4eD1N707CIWHSCswCTmYUOAWuVUmV5bvVrgLsvyMwMFzXnJQ0dGmRrVWJOXTryx1y1KsfPH/WDVuQchca1chbvIlDKMDe/xSYUCgB5XYSucKC9B5wSttan2XrtCqiY2CX+n//wD9yYSBD1+7mip0cubitWiOXEdTFeYm46pdR7gQHgGWD9Ak/n0mYuHYoK1f4sJGBBRKhty/c2GPSSaMJhr1RSOi3/u679o0dlXTfpxu8Xy+dUyUPu87o6Gae0VN5XWytC9KWXznexDwzAD38I69eL2Dx+XN7b2CiWz1hM5ppIyFy2bZNxfT6ZczYr/5eWiuAMBsUSW1EhIvrMGfk7ECg8X4NhAVkwwamU8o9s3wf4lFIhIAe8BrkIHAeqgP8N7NFaj3edo7U+ppQ6AHxOKfUZ4G3A1UjSkMEwKeclDa3PjbmIObEErx62ZlSnM3/MWFwTDNic7QiTtX0jgrO4BH1wrgXevaFk7ILpWpS0pu3IEd79yU/ysauu4m/f8x65wA8MwE03ycVMKbmAXkJuOqVUOfBXwJuBP5xkvTuAOwAaGhouzOQWOxO5sydjth2KJtpWIQHrFlH3+cTtHI3CVVfJdziVku9/OCxCsrxcRN6ZM2IttG0Re7298h5XkPb2yvvLy0UEuueQGwPa2Snvi0alIHwqJRbUri4vxnM8Bw7IXM+ckfXcRzYr83YTl9xuR/G47FcoJOPH47I8HhfL5saNsl5zs4zvlmqayoo8m8/xAjDmnDOC+ZJiIS2cnwE+l/f894EvAEeBrwBLgSHgUeD33JWUUv8IoLX+yMhL7wWagH7gLPDbpiSSYTqc1wt9Ywi6OmRhOs2rJ0rY88Q0OvSMG9OxNc8+liA2pAmHoG5JisGE+0Ne3B90vw9CQY1jax6+u9cTxtO1KA0MsPL4cR59xzvYPjQkrkCfT5IgGhuLOtdFxheB72itWwr2hh/BxH0XYDbxmLPtUDTRtvIFbFWVCLDWVvn++v1i4ctkpHZmfb3XT91tS+laOZcskefBoMzRjelUSoRpPC7jhELeOaS1WBMPHZJlrgWyrAy2b4enn5b1N270Wmvmk05LAtFLL0nBeL9f5lZTIyLTFeWNjZL05PdLfKg7n+pqsaq680wk5DhZlid0wTt/88tK5XJenKcbLrDI+q6POedWrjTn3CXEQpZF+jzw+QkW/2CS931k3PNm4MYiTctwGTHqfnZrb2oNPjX6g9+6L0tltT2jOp1u2aF0Bgb6Yf/hKMmMxUCulGKLTYBEJkAi6bDnPxNUL7U8YfzaqS1K6XSawz/7Gds6O3nD1VfLxU9rsdSsW1f0uS4WlFLbgLcA2xd6Lhclc4nHLNa28gWsG5vZ3y/WRhArZU2N51rOZkWwWZYIvqVLRWyFw/K3K9RWrJBHX5+IOhCrYjjsucdda2IqJWNFIiJ4h4fFsui6vcOFykuPEA5LMfi+PnkeCMi5t2KFZ3Xs6xOBuGaNPO/tlbGVkjn7fPKedFqEaXe3LDt5Enbu9KpKuKLdFdtumIFSF+5zNBi4OGI4DYYLwzgrTN26GMePJJgqwzu/ReaKxgBPP5LgwAs5Tp/1k7XJE5vFF5yRkgzHTgUpDw2zZpmGsJ/Wk36xxE5kURpxB37hU5/if333uxz/y7+k3m2dV1kJr3mNWIYuXW4EVgNnR6ybUSSsZ4vWescCzuviYC7xmPOxrWRSXOLl5WLN7O+X55mMiE7XuldZKWJs6VJ5PZMRobdjh1f6a9kyz4La1+cJUTducnBQrKiWJVbReFyEnhszGo9Lxnpbm4jDqipxnY/n+HGZVzotorKiQt4fjYp4HRiQ2NJIRObtFobfutVzuZeVyfsHBuR5MCjn9tq1cgzc+p0dHbJOJiPjubU63S5E4LUEHd+b3WAoIlMKTqXUE9McK6W1fusc52MwLBrOc7lPkOGdn5n++KMpurs0Z9v8tPUGGEy7Vo75+PG2WVWbYWVNmhMnNDu3ZhjoS7FtV2Dytw0Owv79/NmuXWzOZKgPBuUCGg5LEem1ay+peM0CfBv4Yd7zP0cE6B8vyGwuNmYbj1nMbeXHH2az8v11hWltrQg9t3d5R4eIRvfmyxVfroAdn+Xd0eGJs9paGX/ZMnlve7u3rfJy+TsUEsHnxmFmsyIcBwbk5u3AgfP365FHZO79/Z5YdBwRibYtYreszHOPu257N5ZzxQqZw6lTsq2+PhnP5xOBGwyKCB4cHBvz6YrgdFqOj1Le+/LLRIGxdhqKznQsnLuAj0yxjgL+bu7TMRgWD+e53Ceg5USa2JBDbze0tTrkHMVwyqE7FkJjM3+OBEVyGHJZzZUbUpxpDbBlo8PmjZOEPTkO5x55hJUnTlATDvP+nTvFwqKUFJ1eulQsNlVVl+wFR2udBEYLJSql4sgN8+UR+z3XZJHZxmPOZh4TbSs/tjOV8iyT4P3tjpVvJQ0E5KYqEDhfwOZneff3yzlQXy/izM0GLynxXNW2LXGSvb1ex6HHHxfrpttrfXz8pktLi8zbJRaT12IxT/zF4zJmLifxoPX18pp7Q5hIiNvfcWT7x4/L/Pv7ZfnSpXIMolER1AMDMnZNjcw9mRRRvXy5J8qNe90wj0znSviM1vrOqVZSSr2vCPMxGBY9+S70urVBknGb/fsVNdUOR0/4ae8JkLIDKKXJUjL1gHMgkQ6wYb3NigqH2iU2rS1w5Jhia6F8H9tm8MEHue4P/5DfXL6cb11xhVwwV62SpITly0d20LmsLjgj8eSXD3Mpwr5Y5pFIiBAcHhaxVVFROMlNaxFXbW3yKCuT77mbsZ4/l+ZmWf/cObEEJpMi1jIZz5XvzjMY9GrTKiX1M/1+EXuu0F22zOsqNJ58sQkyTne3V5Mzl5NtRCLyd1ubuOqXLpV9OHtWkpa6uyX8JZuV87i0VMSjbctxyWZFZJaUiOhcsULGb2+X8VtbvXhTd075oQuLNJPdcHEypeDUWr95OgMZd7rhcmF8wXifpdmx3SGTVrS32ZztKsGnNH4F8xW76Y7s8zmUVYeorQ9QUZqDiJ/WriBbx6+sNTz3HOUPPcSnNmzgdcPDctHu7pYEg2BQrCuuRekSq7lpyONCJv3MdR75gsctxN7VJQKsq0sEYX+/dO5xBeD4TOwDByRBp6dHvuNLl4rFsK1NLITLl3vF3l9+WcarqRGBNjws60ajXokj172fGKnZq7VYTDs7xUqYzYqQA69r0XTIZr1mC7Y9ksTok22FQrK/dXUiNA8flnmeOyfHp7FR1nHjQEMhOR5btsgxze+a5Gam58d/umWYxlt+3YQs14q6YYMcF4NhFpikIYMhj/HWy0K1N8cXjE8MacoqfJRXKJ7d6+CzHAaSJcTsAPMlNgE0it5YCWdbkiRTPjavg6GeLNt2ZeRilW+J6O0l/p3vED10iI/F43JBTiSkO8rgoCROBAKXZM1NwzguRNLPeMtYWZk8z0/OCYdF8MRiMp/GxvO/t/lW0HPnZF3bFjd2LOZZH10XtWu1y8/EHh72rIWplAinVEoebuxlMin91k+elLEbG+W9DQ0yTjQ6tszQ4KCcP+3t3vvdOMx43BN/bsJPLjf1MXN7oldVyfo+n7zuxogqJbGaZ87I3AMBEcs+nywrKxMLZiIh8122zIvRzOW8jkfhsMx/YMC7wSwpkfFcC6hLZ6esG416dUeN4DTMkhkJTqXUX02wKA2cA36ute6c86wMhgXivHaXnF97c3zB+DfcEsHyKZ5+OM6qlXCu06YvAcVvYzkeRVIHaG9X1JRlGe6IceObgmxZMQAtObmAlJZCaSn3/PEf88n77+dXNTVschy5wKxd6/VK9/vlYnOZuNEvay5E0s94d7krVlyRMzQk1rJIRFzZFRVePcmJOgq5oR61tfL3yZMixkIhEUG5nFfkfWBARGc2KwIrk5Hxs1l5r1vQfWBA3n/ggLwWDMo6r7wi47mF1l1R5wowN7mnu1vEmDvXlhYRtCtXeglHy5d7XYsmI5uVbVVVyf5WVMh2u7qkM1EkItvr6ZG5+/2y/pIlXjjMypXe8RsclM8gk/FafA4NeX3jlfISkSa78dBattPb6yVXTcetXix3/Oc/Lw/DRc9MLZwbgd8CngdagHrgWuBB4Dbg75VS79Za/7yoszQYLhDntbvMq73pWj9bTqSpa7AIhazR/uSWT9F6KkM4kiMWzxIbTpMZUvMew6kJsP9olOuu6WH1Oj9bryuXi9KZM3KBaWmBl15iy4EDvCUYZE1uRIguXSpxm2vWSPu8UOiyitu8rClW0o/LeLc3eL3M3QSbvj4RaO5zVzy61seSEvl//Hcw3xprWfI8FhPRlU6L6Ors9DoMtbeLy7ivT0TSlVfK97usTM6LTEZc0W1t3jp9fTJ2X5+cB/G4CFGtvfqelgVHjnhZ4ocOeS72VaskESmdFld8NititblZRGLZ5M0ixuDOp6zMK+XU2Cj7CyL66upEvGUycqzq6702l/ndkFyxnkx6oQhLl8rzlSu93vPJpMy70I2H2yu+u9uz4I6/KZiIxRIrbFg0zFRwWsB7tdb3uy8opW4H3qe13q2U+gDwVcAITsNFyXntLvNqb+ZbPwf6NDfeGh5j/axbG+TwwQyW5TCccfumF7d3eiEGkgFe3pflN1/TBd1Zr7VdTw/2k0/iu/NOtra3c1cuJxdCt/bg7t1yoQmF5r+eomHxMldL1Hi3N4g4yf+7unqshbOiQgTT0aMi/qJRsXhu3jx27Hxr7IYNnnCKx+Haa0WY9faK4AqFvI4/Bw965Y02bZI4zA0bJLmnv1/e39wsZYWUkve71tF0Wo5DKiX7ls3KfKNRGdOyZN1QSF7r6ZHlfr+Mc+KEZx1122xOF9uW/UulZPxEQkReZaUkCi1d6gk+1wIai8l2n35ajte2bXDFFZ5YTyZFONfUeL8NML0bD7dXfGmpvK/QTcFELJZYYcOiYaaC82by2kyO8J/Av438/T3gm3OdlMGwUExWe3Mi6+eo5fN4mvaWDEdPhQj4NOAD7JH/5090+nSGjclfsyWUgQElF5ZEAufpp3nXF77A9ljMa+kVCMjF9/bb4frrvRi3iSwchkufuVqixru9tRZ3MsjzFStEBJaXj43hPH5cLGdu73HXcpdPvihyhbGbaX78uNctp7FRxkomRcS6yTSuwAURZs89J9bJI0dE6DqOCEy3NWRZmayXTnvF1d26mMGgCEH3GFVVyXxra2V+mzd7tTjdFpuu634muGLVFdCxmAjPtWu9Qu2Dg5IoFY3KZ7d3rxyP+nqZg9ZSJB48y2Y0KmOdOSPicTo3FkrJsdbaSzSqqZnefhQzVti41S8JZio4TyLFkfNF5UdGXgeoBRJFmJfBsCBMVntzIutnvuXzlVf9oCGnLSwcFD70vFo4HZbRxW9XPIb1QgngwP33w/Hj5PbtY0ksRm3+6hUV8Du/Azfc4Fk6TBLA5c1MLVHjLaJuEgp4buZMRsbLjwuurBz7XXOTfNzX/P7zBdD4Au/xuFgoT5yQddvbxW0ejcprzc0iKLWWebW0SDxmMCjWzKeeEitlV5fM0e/3kpfcWEY3c1sp2Z/KShFzg4Mi2EIhcUkPDso+btrkxX0mEjJ+MinW1IEBecz2M7EsEYbLlnmdhVzX+blzIuKSSYlnTSa9UlEnTkjCk/sZLVki++OGFRw7JuO6xfGVmtjSPduY3wvZIMBwUTBTwfnfgPuUUp8CWoFVQA5418jyTcBnizc9g2HxsHlHhOMHh3n1pRxbrvGzeUcEEMtneYVioFcTT8Kx9ijDTgAH3zzPyCFIhteUnWBrdTt0hOArXxm94AWBfx7/lg0bxBVpXFsGl5laosZbRN0kFNftDWPL8ExEQ4N8V3M5EXENDZNvq6VFLH6dnWJ1jMdh3ToRdM8952Wq+/2yHz093jrPPSeisKZG3h+Nyrpay1yVkve4caWBgIhOtw1kJOK50ZcskefBoMz9xAnZzsmTXuZ7KuX1Qndra84Ed/tKiSB2bwbKymTunZ1y7FyL74oVsv3ubjleVVVixS0pEXHtNndwPRmDg17pJZDfg4EB+PWvZT/DYdi+XcaZbcxvsWOFXQunsXRetMxIcGqt9yulNgC7gZVAO/Cs1jo7svwJYLqtMA2Gi4oj+xO0nnVoXOej9azDkf0Jtu4uo25tkMcfTXGuBXoH/GQcHw5uDCcU151uAwoLhxBZ6lQb71myByvggyeegP5+TgAfBb6DZPWNUlUFN90kosAUbza4zNQSNd4iOjx8foWD6VjN6+u9Uj/V1ZJ8M9m2KirESunGNkYiXoJNX59YNkFEqdYiIJctE7HluqLdfuPxuCcy3XVjMRF54MVdun3N3WPjlj1y5zM4KKLPFZslJXI8YjGvzeVMYjhd3EoSPp+XbFVaKmK6rU1Er9/vid6qKi/xackS2f4LL4grvbRU5ujGYg4Niavf7d/uWrRPnhQLcWWlCNrycqnRazAUidnU4awGKoFSYD2wXimF1vpfizozg2GRMVEM5+YdEfzWIMNJSKYtFBDAJouPYpdGCpDhtStbGRjw0VA1xAcan+D2FefgF8+Muu5OA8cR18MooRDccotYkYzYNOQzU0tUsWLzLEu+j4Usm4W2FQh4sZ+2LUk0S5aMlv4iFhMhZdvyfd+4UQRYd7eIM7dneSTiiTe3Hu3wsCc283Ec2b5bo9ayvHhGN6vdtuX9WSmjNtrdSCl5baJuQ5Nh214Zp2hUxGNVlbjyUyl5ffVq2UZdnWSSb9wo4QbLlsk829vlEYmIuB8elnhTNx7VdfVv3Cj/u5Zd9zHT2NMLhbF0XrTMtA7nO5HEoOPAlcAhYCvwFGAEp+GSplAMp2NrHryzh6PHFKksJFI+MlhYoxnqxeeqxgQf/cBhtjbEoKUb7nxqTJzYTcAxIOC+YFlw442SJLRunVxIClmgTBs7w3S4kLF5+dtyE2hckegWRncLwOdyYmnt6RHRtW6dfH97e0V0ZTLidq+slNcGBkR8ucXkJyOb9YRrOCxWTldYhsPyutsO061v6cakWlZhMTsViYSM5ziekOzrkxCG4WGxQt5wg1eKanhYxGlLi1iL3Qz6dFosnW58qivEOzu9gvHghThksxOHOEwX81tiKMBMLZxfAv6r1vrHSql+rfV2pdR/RcSnwXBJUyiD/ZW9MX70b1mGYtDe7SedsfChkcuLj2KXRXKwuCn7M7Z0noEjvRKb1tYGwD8g7offJU9sArzrXfC618HVV4uVZKK2laZunmE6zDY2bzYiJD9p5fRpEYduEg14sZhdXWLxC4c9d7NrDeztFYHluo7dDkS5nAjG6Vogtfbc5Pmk0yLQlDrfJT9X3K5G7t9uHdFrrxURnU7Lvp86JeJfa9l/y5Iau62t8v6yMlk/m5Us/kzGa/3pHg+/X8opubGu+SEOM/3sLsRvSb6F01g7LwpmKjgbtNY/HvfanUAH8OfFmZLBsDixfGpEdErrS4jz9CMJksOK3kEfHQMhlKWo8KcYyoTJzUMNznqaub3l77HUKsmKHXF7OcCPgCrgd/K3+trXwp/9mVhFXHfiRBYpUzfPMBMcRzKl82MwrUlCSGYrQtz3WZaIrXRahOTwsGw7HBYB2t0tLmOt4aqrxC2cyci2nn5aBKjf7yXduJbKUEjGmwtuGSP3uBQbVyDG42KtHB72eqmvWCHHCKR0UjQq53gs5rXmrK0VgeiKTFe427aEKLj91/1+cb+P/1xm+tld6N8S42a/KJip4OxSSi0baV/ZrJS6DuiBeU/HNRgWBeNbX3a12VREciSHFJGghQ+LRDaIPQ9iM8QQf8w/YfV0wXBiTIyVBTwCZPK3unIlfOxjcjFOpcS6OdmP/oXosW24dDh3Tm56otFRK/ukbtjZipBEwqt/GQiIaNqwQWI4e3rkZmrJEhFiti3f86oqsfxFoyKE168Xy53bbjIU8m7YEkWq5DdX0TrV2LGYd6wdR0RoaanXl95tven2bq+rk+PhdiJqa5Pnboehnh55fXBQwgxWrZq4sPtMPzvzW2IowEwF5z8D1wP/Dvz/wK8Q48rfFnleBsOiZHzikC+TJdeXxJfz093vI+TzYVkwmA1SzCz1Cjr5NF/lE/y9XDRGLBpp4GvAnyFZfKN9kfx+eP/7pUbhdC8Spm6eYSb09YkAcnuJ9/VNPwGokAiZyG2by4kVLpUSkbVmjVj1LEsEUk+P53rXWuIUT54Ui1w87tUJra8XwXrllWIN7e0VsekKTjeTfTESCHh1SN0EJbcofUuLCO50WsS46yJfvlw+j1DIC6OJxeR/2/ZKJCUSciy0lt+H5cvl2OV/BjMVkAv1W2Lc7IuamZZF+pu8v+9SSu0BIlrrw8WemMFQkDkGo7tdgVpPZahbGxztgz5dxicOveE6jXWtnyefhva+LFpniZ8L4InMuYvNJZyhmc2Ukj1v2S+BzwM7gbflL7j+einw7ratdC8Skx2/YtfNM1zaVFd7ls14XGIoJ2MqETKR29ZtGenWhwyHRdzW1IjYjUTkPUuWiNW1v19EaGenJO/098u6ti3f+bY2iQc9c0aEm1Ii6Baz4FRKHm7MqVtbMxQSER4IiCBvb/eE6LJl8n8gIMesqkqWDQzI3644jUTEGuo4IuITCRk3/zOYqYA0vyWGAsymLNIoWuuzxZqIwTAt5hiMPt4lDozphz4Zjq1xbE3Ar0kMaa6/qRSSNq2vJLBsizfuyHDPL2rpiEcRoVkMl7rNh7mroNgEEZmHgY35L27fDp/7nFxwIpGxF4lZHr+5CnXDJYibVNLXJ2KzUB3NfKYSIRO5bSMR7z1aiwB1O+yEQrLdFStk+alTnvUyEhFxlU577ni3G8/+/fJ3X5+MmUzO+XDMK44j4tmyvBtItw6n2zHJLRafy4mLPJeT47B0qSdIEb4AACAASURBVAjsmhqxDldWihXTzaC3LFmWychrwaB8Blp7XZPcm9OLSUAaa+eiY6ZlkSqAPwG2A9H8ZVrrtxZxXgZDYRIJr32bezc+gx/BiWppTkS+0EombFqabaprLfp6HB7/aYyjR6F+WZShfhv8PmJpPz4cihXWvIGXeA//ft7r+xE5u51xYnPJErj5Zrnorllz/kVilnF0cxHqhkuU6dTRnAkTuW3LyyVmM78Pu5sUM97iVl/vJcF0d3sF3jMZudly+6a7JYvcGprzkehTTIJBr7ySm5gVDsv8e3ulVWV1tYjM/n6xZIbD8r9b9siyRKDnHy+301A2KyIURGSCjOtu21StMBSBmVo4f4xcSe8HFmlVWMMlTS4npT6iUbmYVFXN6O0T9UOfiHyh9czjOeobFWs2+GlpTvPMU4qVdbD/UJBIqaahQbFj4zAPvxjGsnM4TD725Gg2coAv82Wu5tC4JXLX1wu8wjhpe801ckEJBOQCXVk59iIxy2D+mQp1w2VIfrhGfm3I6Ya+TOS2Ver8PuxQ2FpaUyM1ZwcG4MUXPctdV5fXGjOX8zr4xOOzK8x+oXGPo5sQBHIeR6NyfOJxOec7OryySENDXtvORAK2bvUswe77Ozrk5jOd9uJglZLPoLxcxrwUqlYYa+eiYKaCczdQ47aynAtKqY8BHwSuAn6gtf7gyOv/BfinvFUtIAzs1FrvKzDOnpF5uY1VWrXWm+Y6P8Mixe8XF5ptywXIP7OvcKFamoVwLZsPfC+G5YP6NSXUN+Q4d1ZTv1r+X7tW09auaO/yU1LisLLO4VNfLKPnTwZ48kgN0obSwqvFOV0XtM0n+Bof5EdczaGRIvIeCrgP6GKc2Fy5Em69VWr0uR1Rxl8kZhnMP1OhvphRSpUAfw+8BSldegL4n1rrhxZ0Yhc7+eEa587Ja7W107eOFSPuz41LbGiQ7Z44IQLt1ClJFkok5Hvf0yNCtKTE63++mHFbavr9nli2bbFMhsNy7gM0NooLvbpafgNWr/ZCEHw+OSb5orKkRCyYsZi43fO9IqWl8nm6LUBNprlhjsxUcD4FXAG8XIRttyGF5G9GBCUAWuvvA993nyulPgh8FvEiTsTHtNb/UoQ5GRY77gXFvSuPRGb0dsun2Lq7bErrnGvZtCzN/v0WkCZSZvEbN1v0dDrU1GgyaYiUakIlml07bKJRi7v+IUEgoKguSdGfDpObYSxnCUP8FZ/nL/jfBZc/DrwBWDryGMOXviSFm2Mx7+I9vsj7LC/q0xXqFwl+oAV4I3AWeDtwj1LqKq1180JO7KImP1zDbe14oa1j+TdUGzaISGppEUug3y+/HWfPwqZNYvWsqpI4zsXaxnE8uZw8wmFPLPp8YtG94goJJxgclP8tS34fr7pK9i+TEQEJ3m/D4KD8Xpw7J4lD+csv1aoVhSycxup5QZip4Pwg8DOl1HNAZ/4CrfVfzWQgrfV9AEqpncBk0eYfAO7SWutJ1jFcLlygH0HXhVy/JgSkcGzFb9wWxbE17a1J1m8OcORQjoYGWFlnEylV7HlC4diKY2dCpHIBbBRi4XStJ5MLzxo6+Ev+hj/h7wsufxq4EalN9t/GL/zEJ8SV2NMjF6TqanGtuSVf5thabrpC/WJAa51Akvtd/lMpdRp4DdC8EHO6JMgP13DbTrpF2n2+80vtzAf5N1SlpV7rxnPnRHAeOwaveY24kqurJR50eFjmuditnPlks3JMKypkH+vrRYReeaUsSyREcO7bJ4L6mms8we+K//wOTnV1Yo3OZLzll1OmuRGhF4SZCs4vA/XIj3L+lX5exKBSqhEx6HxoilX/Win1VeAo8Gmt9Z75mI9hEZD/IziP/XrzXchlFT5uvDXC1t1lPHx372gs45aroabWR/2GEv7xbwZIZRR9/X4646UjndQluN/CQY/8K5xMpFnNaf4//px385MJ5/Q6pK3Xe8cv2L5drBgHD4rVIxCQC47becXtQnI5XDhmgVJqGZJ7dajAsjuAOwAaipUcc6ky3roIIuZ8vsKldsZT7PPZnU8iIZbM3l6xdOZyXutHx/Gsf/H47Ld1oXHFcTrtJQrV14vYdDPP02n5LWhu9o5nJuO5xt3f0jVr5GYgk1kUrvMx55z5zbqkmKngfC+wUWvdPh+TKcD7gSe11qcnWedTwKtIk5X3Ag8qpbZprU+OX9FcPC4x5rFf70Qu5PNjGUvYuruM6upB+vp8dA8GsZGe5z5yaBR+bPzkiKoUaa0YpAJPeGZp5Cwf55vczn8WnMsgUuB9KXJCjGH5cmlfqbW40datk9d6euQicykE/M8jSqkAEsJzp9b6yPjlWutvA98G2Llz5+XnZZmJCCxkEauslHM0FJr6u1js83n8fCoqpAanawG84QaJcSwrk/1qbpbz5mJIIiotFTFpWSKkS0ulR/r69RLPeeCAF3u5bJmXqR8OyzHu6JDXx7vOq6rkM78Q1ugJGHPOrVy5cOfcZBZOY/2cFTMVnKdggoKA88P7ga9MtoLW+rm8p3cqpX4Picn6RoF1L++Lx6XGPPbrnciFnC9Er742gGNrHr67F0cDjkPWUViAjUIBPmyqGCQczFFf2kdZspv+TBALm3JibOcA7+HegslBLn8EPIfcVYXHL3zr/2Hv3OPjLMu8/7syOU6ObQ5N0rRNz/RcSksR5IyAiMKqLLiKiPu+oLussu+yr4quJ1bFXV9x1zOKgC7Kiq7V9QAuYhWPQKEttJQeSNqkbdokzTmTyel6//jN3WeSziQzySSTzFzfz2c+M/Oc5n4mmfv5PdfxSgrM6mpaPY4fpxXH76dlKbzouzECEckA8B3wZvWOJA9nZjIREThapLpOP8DY/4tT9Xt24+npYUxjZqZXyqmpia+ffx54/HGuc600p7JV5WQZGuL3Ggjw967qlUnatInZ+Tt2MKxm/nwmWoowbrW9na87O4EVKzxRXlzMv9MU3cQbRryC8zsAfiIiX8SZMZxPJWxUAETkAgDVAH4Q566Jb2JtzEwm2q93Eq67cCH60p+6TpdMGhoCsjKHkZWhyMIQAEGJrwvz89tRk92Cd67ZgZbBYmQcO4bXnPoZ1nb8PqrAHM0HAOxCBLH5lrdQaGZnU2wWFzNDtbqazyK8IKVSwH+CEBEB8ACAeQCuSUTljZRkIiLQidTsbMZOFhZ6JX3G+l+cqv7b4aI5GGRpoHCrZ2UlQwBKSphQ1NHBcTc0APvOMHrPHAYHmfBTVOT1QPf5aMlctIgu9lOneI7ZoaoSQ0NeXc7h4TP/nlN4E59SRLNwmuVzTOIVnH8beh5tdVQAS+I5kIhkhj7fB8AnIrkABlXVlTe6BcAPVbVrjGOUANgKJu8OArgRjPm8M56xGLOUiSYQJch1F16b8qw1wK7nA2jv7ocqEBwcRmHOIMrnKt79ulP4i3UA8vqBXz4PvNAEDOSN292kHUAJWNz97NEri4qAyy6juCwtpStwzRpg9WrPejEFsa0pxFfBihtXqOosSVFOAvGIQHcjV1fnleVqb/fiDcOFXiSmKiEwmohy4w0EaAV885uBPXto4fzDH7ispYWPmYaLjR0a4s2lE5QrVvDvVVpK93hREYV+fr53vs7CGamKxVSJfsNA/L3UFyfwsz8C4GNh798B4BMAPh4Sn38J4C2jdxKRuwFcqKqvB5AFllY6Cyx6uA/A9ar6SgLHacxUYsyiPKMtY00PMsa7i4/BCjp/STYO7O0HAt14ZdcAqucM4VSLoqMrgGy/oiK/F+ctbsEb3yDAiRy6vFavZnKCKnDojDDj09QD2ALgXgB/HWmDe+8FLr2UFxrX3i83lxd6c4uNSSgZ8XYwNLZJvL/r7aGybIYjHhHobuREaCHMyfF+ozk541vLJpMVPdbvNZqIGn3jOW8ei6O/8grwutdx3a5dM1NwAhSbbh7Ly6OVNj+fQvTwYTZ+6O/nnOP+bpE6NoWTqqWQpotYLZxpagkdV3CKyD2q+k8xbPcJVf3YeNs5VPXjGFmaJHxdH2jcibTu02Gvm8HrsmFE5Yy2jBcBaxcEuTLaXXwMVtDVWwqAri4c3dWBRXMGsSKzGRUD2fjzoblYWNiGs1cGcNm53cgczOCkf+IErZIbNgA/+QktDa593CgqALwVwKWRVr773cDVV3PckQozm1tsTFT1MCzsJjbiEYHu/865bDs7eROUnT311rKxfq/RRNTo30lfH+M5i4u9kIAlS+hWn4l1Op3lsqAA2LjR649eX88bz+5uCs49e7yOY5E6NoWTTqWQjGknFgvnnSLyLYw/Qb8PIy2WhjEjOKMt48lsrD23KvpdvCqTCTo6vPinCKItwydYu1awdlkhXtrejO3bBGeVnQRaW7Ao8xguyDqB1ZkFQMWFvHAVFvLCuGEDXxcXA7/4BVt1Dg4CwSAUjA3xgz7fM9i0Cbj8cl7A3YV99HmYW8xIBuH/dzk5LNXlOtqUlk6ttWysm6xoImqs3u0Ay4pVVlI0z0TB6co7rV7N0kZz5zKmc/58JgdlZXG7KPOXkUTGs3CmqAU0FsGZD7Z+G09wzuCUPiOdiVTKCMWhUiidnRSX4W64zk7v0dXFiXrFishuu9BFa/WSIFBbj6MNik2LXsbq0pPImF8F5MzhMYJBTvyLFvFCsGAB8M530qLyy18CTzwBAPgygO8B+DmAiJeHyko+d3V5Yxt9ITG3mJEMIv3fObE31UzkJmus3u1FRfxtlpZyXVvb1Ix7MqhyTsnJ4euhIbrJc3IYN9vSwtdunjJmDxMRnLNApI4rOFU1YzoGYhhTRdS2jNHccM4iU1hIt3dRkSdOR28fukhlBAJYe8NqrH31VWCXD8ip5eRfWMig/pwcxlb5fKwDODzMjNiuLlpSQswDsAhAYaQTWb+eVqP58zm+aFYLc4sZySCZ/3cTuckaa7zuxvK884AXXmAiUVNTYsc8WTIzKTiPHWP5o6wszguBAOtx1oQa+EWK1TSMJBBvlrphzDqitmWM5oZz1pKcHMY7udioaNsXF9Nl7mpgDg1xXV4eC0svXUphefgwXWDt7dzn0CG22nv++dO1vG4IPc6gpobHGR7m/nl5tLoaRjxMYXeupJJosdvbS1f6unXAzTdT3L36KnDwoNcuNtkMDnqtKBsa6D1xc5PzphjpQywWziRbQU1wGunLeDFcscZGqvIhwouU62nukhBUGbjf1+e12QsEKEK/+130A7gewHsAvCnSODMz2b5y7lxaSFtbvfhNw4iHKezOlVKE/9YXLGCS3q5d/C2ePEmrYrI7Eg0O8gZ0eJhzQ0cH55VTpzw3eqrcUBgpgQlOI30ZK4YrnthIFwfqCkv7fBSEZWW8ADQ3c3lfH4Xo0aMM9P/EJwCw3mYLxgiCXrOGwtXvp8W0ooLZqYHA2BmnhjEaq2AQG+G/dZ/P+925fusDA8l3sQ8Ocm45edK72XWxpllZvLEA7O9reCTZCmqC00hf4nXDRdt+9EXcWRiCQbq/Gxv57MRneTnwT16lsQoAf4TXXX0Ey5cDF1zAzywt5QVvaIiueUsEMOLFKhjERvhv3RVLnzePMZ0i9FKcOEHvRTJpaWHZpnPP5bzgitjn5nphQCY4jRmCCU7DmCyRLuJNTbQwtLTQBX7qFIVnIAA8+yywaxeeB/BNAJ8HkBvpuKWlwEUX8XnDBl5EwltYpphbXUTmAbgSwAawDm872NXzf1R1hmVszFKsgkH8zJtH0Tk0RE9DVRVv+ADgySeTO7ZgkHPM7t0c0/LlvPEtL7cbCmNiTGHbzpgFp10MjLQnWsKFu2j39HgFl19+mUKzuNjLcG1uZuLQK2yE9VsAPwXba0UUnJdeCrz2tbzAlZfTRd/T49UFdGWRZjkisgrAPWCd+x0AXgbQBCbr3wzgCyLyawAfVdW9SRtoKmAVDOLHlUXr7WUr2aYmWjznz/faSyaToSHOLcPDTCbMyOAcYTcUxgwjlk5DdjEwUpN4M3Y7O5ks0N9Pi2ZtLRMKwmsN7t/PGM3GRsZYZWfT9dbVxf1e8bqu3gng3QAiXhIuu4yu9LPO8jLlm5p47OxsT8imhnB4CMC/Ani7qgZHrxSRbADXAXgAwGumd2hG2hMu0lU5Txw8SGvi0qX8zSeT3l7OL0eP8ua0pobPhpFInIVzEpbOWCycDwH4HOxiYMwGoonISMuj1dWMJkJ7ez2xCdBaGW4t6u2ltSEzk0K0pYXB+/n5LIG0fTsA4N8AXAFgDaKIzYsuAl7zGq83ugg/8+hR1u7MyuK6OXOm7GucTlR16zjr+wE8FnoYRvIQ4Q3g/PnANdcweehzn0tuqaSeHgrgigrOV+vXp275KyO5TNKtHkvhd7sYGLOHaGVfwpe3t3PdqVMUdOEtIoHoZWPCYzXd8vCgfL+fLjZXHy8/nwLxwAHgD38AwDiUz4Ktu74YafxLlrBosxPJ3d10pR85wvcLFzLbPTeXwtYwjOknL49ic+NG4HWvA7ZtS+54+vtp5czIYKZ6pPkuK8vEp5FUYnGpXxbLgVT1qckPxzAmSbSyL+HLu7qA+noub2zkdtnZjHkaq2xMURHd6M6y6SZwZ03o7vYsjyJ0tb3wAvCrX/GCAAY/7wAQNZR/zhwmKaxbx4tHczPjxoqLaeHMyuLYiospaFMEEckAcBeACwDsAfA5VT0Vtv5nqvqGZI3PMM5AhL/V225jw4f/+I/kjSUYZOhOUxNvcI8fpyV2zRoK4/p6el2s9qoRK1NQHikWE8kDMWyjAJZMcizGTGa2uGiilX0JX97RwQm3rIzvh4cZ8+QC7NvbKUo7OtitwxV1F+Gk7QRsuGv+2DFaTF99laK0tRXYuZMZ6f396ALwQwC3AIgaXVVZSbdYVhatl0NDfN3Rwc9ZvZrWTSAV29V9BsDlAB4BcBGAnSJydVhc+IVJG1mszJbfiDF5AgHOHzk5/N3ecgu9GK++mrzxtLcDdXX8vzvrLJZLAnhjWlxstVeNpBOLS33xdAzEmOHMtA4l42WMjy77UlTEfU6c4Dm0tnKbzEwG/4dbMTs6PAtoTw8/x60PTyAYHmZLuVde8Yow9/QwQ/3llyk2W1oAAF8D8CEAW8DYzYgsX+4JlP5+z5LpkoZSW8C8DcBWVT0O4D4RuRXAr0TkWlXdAXb+nNnMtN+IMXWMvrHt76d7PVmC0zWdOHiQVs3BQd6sNjbS5d/b6zWf8Pn4f2o3RelLklpcWhCYERszrUNJtIt7tLIvzkKpSvd5ayvd15G2y8qiJdNN4tHOtbEReOklvn72WYrXvj4e+09/omsrxD+AJrqoYnPxYrrQq6oYw+n6ppeUUIh2ddFdlroXiWIAze6Nqj4oIm0Afi4ibwG9KDObmfYbMaaO0Te2nZ3JTeJzLS59PiYoilB0Llni3bS6rknd3VznPDiu0oZhTDFxC85QPc5zAZQhzOqgqt9K4LiMmcZM61AykYu72ycQoEu6sJATcSDgJRa5TPTmZopTV0w5HGdd3bePk7fP51lP/X5aOV54AQDwDIBlYMzmedHGVVVFq8S55zI7XdUr8F5ZSbEZrRxT6nAAwFYAv3cLVHWbiPQB2IYopUpnFDPtN2JMHaNvbJcvZzmiZctoZZwO8vIYdtPfz3lqeJg3qjU1vKleuZLbvfgiY8JdabXBQbrfAc+TYzdGqUWSLJjjEZfgFJHrAfwHeHFYAwb3rwXwOwAmOFOZmdahJJaL+2i3e24urZKdnYy3LC729g23mDY3U0hGax3pth0eBp57jlbNEyd4rMFB4Ne/BsDe6H8BYBOA/452HiLMPL/wQl4QcnIY5N/fz88vLOSx+/t5kejuBnbs4L6pJTr/HZxLfh++UFUfF5G/BPCRpIwqHmbab8SYPkpKgCuvZELhVAvOkhI+srO9BhDDw7wRra5mkwg3PwaDFKYHDrB4/XiVNgxjConXwvnPAG5V1cdEpE1Vzw7FWkX1FBopwkzrUBLLxX202z0vj8v9fp5PTo6XLNTUxPfZ2ZzAAwFO3m5SLynxjtvTQ5HZ08NtDx9mYP7u3QzaD5EL4EcAxnS0VVbShQ+wheXhw/zc+fO9gs7uItHdTaFcWppylglV/fYY654CkNAqGCIyF0yIvBJAC4APqep3J3nQlPqbGHEgAmzdypjt55/nXDAV+P10g1dXc944dMirllFezrnw7LM5Zx07xmX5+bSE9vZyvlm0yJs/srOj31gbM48ZarmMlXgF50JVHV1v82Gw89BdiRmSYcRALBf33l5OqMEgBVtzM4Vcbi6X5eaeWWPTWT+zs5kQ5NzaR4+yvt3AAMXm4cMUswcOcJ+XX+YkDgYbvgxgNRh7EpXKSuCcc/gcCPCcKispjJ1FE6D73+/nZ+bm8vNTqNOQiFykqr8NvY5ahi3Bpde+DKAfwDwAGwH8TER2qeqeBH6GkU74fGzacN55iRecIvR2VFbSUnnBBZwPnAekr4+lmY4c4TxWU8NlAwOcx2prvRvtSJU2DGMaiFdwnhSReap6AkC9iLwGtA74Ej80w5gkfj9d6B0ddK/7fEzoKSs70w3vJt26Ok7o2dkUkiIUdq2twJ49nMgbGjjJHz/OSfvQIYrUEI+A5Y9+CxaVjEhGBuM1zzvPm/izszmO7m4+AODkSY7J1eJsauIY2tvpvk8NvgK604HoZdgSVnpNRPIBvAXAWlXtBvA7EfkJ2Kr3g4n4DCNNKS4Grr4a+Na3Evv7nDePjyVLgCuu8GJGX3iB7vSeHno+Sks5Z5x1FrBhg9dSt7ram+Mi3axbSa/kM8utl7EQr+D8BoDXgiUF7wPwawDDAP5fgsdlGPERacJ0j6EhusSzsngRyM090w3vJuHFiz03vJtwg0EK18xMvg4EaNk8dYpWzzCxCbDP62cwTp/XFSt4YXL1/IJBCuLlyylmOzooSltbKUQ7OnheS5dy7BkZKdNpSFXXhr2ejjJsKwAMqWp4E+xdAC4evaGI3AbgNgBYuHDhNAzNmNWIABdfzCSdUOLgpPD76ZWprWUW/LXXMhkoL48ic/1674bYVbpYu9br+15SwrmlqmpsATmDSnqN+M2lgAcnImkgLiMR7xVrSFV/CDDmSkS2AygAcHWiB2YYcRFtwqys5MTrShxVVY09kYbX6wQ4ke/eTWHZ2EirgovpbGqiqz1EG4DC0OP/jjXWnBxg1SqKx+xsuvpzcig4XWkkgOeRm8ttALrHysq8i0gKdRqKRKj70GlUdThBhy4A0DFqWQf4pxuBqt4P4H4A2Lx588wvzWQknzlzgMsvn5zgzMwELr0U2LLFawaxYAGwaRNd593dXimkZcs4N508yflpwQLu09XFm+G5c732vdGYQSW9RvzmqqvtN5dCxCs4Pwrgc+6Nqh4BABH5HYDPJ3BchhEf0SbMsZKLIllFAS47eZLib/duisqjR5kQ0NDAbQ8d4qOrCwAwBOBNYDHJ/8Y4VcrLy3lhaGnhhcB1PHK18ior+d7VDnUWzpoaXnj6+71C8CmGiGwC4yvXwyuFJKBLPVGhO90ARn95RQC6EnR8I50RAa6/Hrj/fs4lE+E97wFuv503t0NDnvcjPHmxq8u7kb7oIn6um8tUR7b17eoaW0BaSa/EkabWy1iISXCGBfL7RORSjLyeLkGcE7WI5IBxW1eAJQoPArhbVX8RWn85eNFZCODPAN6lqoejHKsWwINgDb8jAO5Q1SfjGY8xSxhLILpHaSkFmZsww+OVRu+v6mWnu8lWlbGaLgs9EGBw/rFjfASDPEZHx4gYLR+A/w0gB+OIzeJiusecOC4v95KAXLapG7Nrm+nEck+Pd4FxYjT1eBjU7O8G0DtFn7EfQKaILFdVV51/A1jmzTAmT2kpLZQ//nH8+1ZX00JaUzNSRLr5TtVrt+tuPsObXgCetydWi6WV9DKmgVgtnC6QPxcj620qgBMA/m4Cn9sAxkwdAXANgO+LyDrQ+vBfAP4XeOG5B8B/Inrd7O8B+GPoGNcA+EHoQtIcZXtjthLJbQ5wWXY2J+FTp2g1DJ+Uo+3vSiM5C+Lu3XRVNTZ62ehHjvCYTU2cjF29zTCCoNB8ZyznUFbGC0RVFT/XtbPs7WVclurItnNOLB8/Tvf6DHB5TTGLAHxYVafMlaaqPSLyXwA+KSL/C8xSvw7A+VP1mUYaocrf8vz5E9v/vPNosRwtIh2dnd6NcrSbz/EslpFu3qPdmFsCUXTMmhkXMQlOF8gvIt9W1Ziuq+McrwfAx8MW/VRE6gCcA6AUwB5XfklEPg6gRUTOUtV94ccRkRVgXe0rVTUA4IcicieYgfq1yY7TmGFEcpsD3rKcHM/K2dR05mQdvr8q4zObm72koN5eZoT39TEYv6uLVsXBQa/F5SixuRPAteAdUdSMdMf8+Tzuxo20Xqxe7V1Uiororj982LN2At4FwJU3cbXzUtfl9SOwNuYTU/w5fwPePJ8E0ArgvVYSyUgITqytWBH/vtXVwN13j/37jiXecjyL5VhJQjMogchILeKK4UyE2IxEqF3mCtCl9V4wY9R9Zo+IHAKLy+8btesaAK+qarhLfxeiFKK3jNNZTrS7dreso4MxTqMnYnfH3tHBWMyODtbMHBjgdi7bfGjI6zKUl0eL4sAA3d5HjlCgjqII9MUui2Xs5eUM5l+2jJZON4l3dFAgHzrEsba0cDtncejspPAtKfH6H6eQy0tEvgOvV3oOgB+F4sKbwrdL5PyjqqcAXJ+o4xnGaXp7OXdcfrmX4BMLmZnAzTfzhnQsYom3HK9O8ViidQYlEM0ozJo5aSbSS305gLcBmA/gKIBHR5UXifd4WWDpwodVdZ+IFAAY7Q6PmEGK6NmmEX0ZlnE6zcTjmoll27Hu2nt7GRvZ08NJOBhktmhHB+/Wjx2joNy1izUs29spNEtKGJB/+DCffT7GRfX381jNzTxGayvH6IYLxmouAfCzWL6L/HyOqaSE4zp5Eti5PsAFywAAIABJREFUk671ri4K26NHOabyci5bsMA7N1ekvrCQ1s/UcnGN7gW4NymjMIxE4ASh3w9ccw3w/e/Htt9NNwG33cY5aCwSEW85lmi1BCJjioi3l/obQXH4UwCHAawE8KyI3KyqP4n3w0NlT74Ddvy4I7Q4ngxSyzZNBFMVsxOPayaWbaPdtUeKPXJi8/BhiriWFk7kzc20JLiyIT09dFG7z/X5WGA5J4frnn/e60kcxkfBMkj/hhhSp30+jm3OHGa+NzRwnIcPs0BzXh7H1NFBMdnTw9hOV2czxS8AqvqJZI/BMBJGuCBcvTr2/d70Jt40j0ciWqiOJVrTPYHILJlTRrwWzk8DuE5Vf+0WiMglAL4EIC7BKSICJiPNA3CNqob8m9gDNmpx2+UDWIrIGaR7ACwRkcIwt/oGAJPriZxuTFXMTjyumUS4ccKzuxsagB07aNU8fpziUpVirreXLu3CQq4vKqIAPXGCVsaBAWanHzoUMW5TwUShPgAZkcYRTkYGx5SbSxFZWUlraUcHX4d3Qaqq8oRpXp5XZzONLgAi8kEAv1LVZ8OWnQvgElX9l+SNzDBixMVkA7HPYT4fxWbGuDNKYhhLtCZC0M4mTGBOG/EKzhoAT49a9rvQ8nj5KoBVAK4IJfw4fgTgX0XkLaC38qMAdo9OGAIAVd0vIjsBfExEPgLg9WD9vrdMYDzpy1TF7Pj9dF27+Mna2jMzx8O3jWbFc5ZLl8CTmUkxFs0S29HB0kauLaTPB+zfT1f1okXehDpvHl3tx4/zdUYGxxsIcP+DByPGXwmAfwFbbI1rBy4tpRu9qorF3l08aFUVz8dZU8vLvdednSPjNNPrAvB+AF8ctWwvgG3g124YMx93Ex9rpvr55zO22zBSmHgF504A/wDgs2HL/k9oecyIyCIAt4OGoibxRMPtqvpISGx+CcB/gHU4bwrb92sAoKrvCS26CcBDoIfzCIC3WkmkOJkql21REY/b0kLR1dPDiTiScIpkxXNCs6mJz9nZtEDOn8/3TryODgVwpYuamyk4u7r43tWsq65ml5+uLmak+/3Aq69S7PX3U4TW11N8htEF4FYAnwJjSca1RZSVsd3cihXA5s10r+XkMDbzxAl+fmcnl69aRXHrYlHTtxRJNoCBUcv64RWBN4yZj7uJd00dxuO97x1Z1N2YesyyOe3EKzjfC+C/ReT9YB3NBQB6wCYrMRMq4h71ahoq3H5WlHXvGfW+HsAl8Xy+MYqpctmKMCaxpsarGRfNejq62HlTE13bPT0Urd3dFJwFBWznlpND0ebaVo4OBRgepmB0wrGggOJy924+NzZyn6oqWk27uriuro6PCBwCzfmNoOAck4oKtqG78ELvnJ1VtbeX5xsI0M3u8/H80seKORY7wJJFXwhb9h4AzydnOIYxAdxN/NAQ57/GxrG3X7x45t9gWn1OY5LE2mnobar6vVAW+SqwCHs1gGMA/hwWf2nMRqbSZRuv9TQ8nrSxkZNaSQkFYX8/j5GRwWN2dvK16zW8axdjJY8f5+uGBs8N39NDAavqiddTp7h/fj6tofv2ebU9I7ARwKsA/LGc98aNwMqVFLcDAxTAx47xc/x+fu66dbSA9Pdb6RGPvwfwPyJyM6jxl4Fx3q9L6qgMIx7Cb9r/9m+BD31o7O0HZsEldLbX5zSLZtKJ1cL5dbCjD1R1EDT0GOnERO9u47We9vZSDLrSRseO0SVdUsIkH1cAva0NeOUVjiUY5PLMTLrvnch0ghXwxKrPx9jO1lZaH0QoBvv6+D4CT4F1e25DjGIzK4vjaW2luF29mp+zf7+XDFRWxrG7caVY5vlEUdU9oYYO14IelP8C8FNVjbGYoWHMAMI9NpdcMva2ZWXAbKgLbfU5jUkSq+A0u3m6M9bd7VhiNB7rqeuo88orFGJ+Pz9vYICu6MxMxnBmZXnxlzk5dJv39FDMHTlC4VhY6LnxMzI4jpISPh86FHsxZrAdzQtg68qYAgkrKviZw8NMBqqupshtaaHV03UXKizkeYpEbsWZpoTE5aPJHodhTBoRVp0Yiyuu8GruzmRmc3k2s27OCGIVnD4RuRRjx10+lZghGTOSse5uE+VqcZnoWVk8XlYWBZsq4zWHhuj2Hhri59TVUdQNDFBMunqbWVkUcq6s0PAwx9PRQeEXh9gEgIfBTgQxic2CAiY1VVXRspmZyfEOD3NdSwtjN1ev5gTuvlfXitPFsKZRnFSor/lnwkshRdhmC4APqeqbp29khpEA5s0be/0550xfOaTJkEbl2YypIVbBmQPWzIx25VOw6YoxmxnLUpmXRxf18DAnx+XLvf0m6moZHuYxT53iBObzeR11AFowjx3jZzvRVl9PcdbcTJe1CEVqZiZFaX8/LQoiFJjDwzxWfT3FXqxfBVi36+0AigFUxrJTVhZw9tm0aJaV8bwKCzmGiy/m2Orr+b2efTaFZ/j35hKk6uu9nulAOritvgbgKyJSBOA3AF4BiwIUgi1vLwHQDuAjyRqgYUyY8X6/WVnTM47JMpvKs5lFc0YSq+DsUVUTlKmOs1RmZ3vxj5WVI+9kw9o7nmairpbGRuCll2j5O3aMcUyZmYy/dJ1+XJeerCxu39xMIep6nmdnU8jt2EFhl5XF5QMDfM7IYLxnW1tcX8XLYEHIAFgHLCYWLgSWLAHWrqVodOK8qIjn5PqjV1XxOSOD37n73lyLTYDfZ3FxWsRJqeovAfxSRDaDtXS3AigBS53tBnCTqr6QxCEaxsQZz0OxePH0jCNdMLE5Y4m7l7qRwjhLZTDolfRwAjMQoNXOrQ8EvLpxE3W1nDpFsVlQwPcDA4xlcr3FMzJoxSwtpZXTxTvm5/Ozjh6lRbSzk+LO5+PYnGgrKPCKucfJagDPAlgX6w75+RSULmN+yRKew8qVXFZUxO/O56OQBmj9BLzvraeH4tKN1xXLTxNU9TkAzyV7HIYxrVxwQbJHMDVYGSVjFJY0ZHg4S6Vrt1hSQpHkJoxEBYy7iWhw0Kul2dPjFTwvLOTnqdLCKkLLZ2UlsHOnlySkSkE6MEAxOhpnPYyDE2BG+gVgGaSYyMz0LJfDwxyX3+8J4ECAcVwiXqyrG9toF1VHB7/3jo6R3YbSBBGJ5kkJAjiuqsPTOR7DmHLGSyqaaqZKGE53GSWzbM54YhKcqlo41QMxZgDhrRQzMrzyROFWy0hWzFgnltGdg+bMofWyu5vW1JdeYjvJ4WGKuPZ2isnBQYqw/fu9mprd3Xz09UV280+QD4J1eA6DPt2YKC1lchPA72buXLapa2vjd+IsuD09FMaBgGfpDP+ewr/jcLHZ0ZFOVoKDYAitO8nwP+6wiPwEwN+o6olpH5lhTAVdXckNm5kqYWhllIxRjJsaJyLvE5HscbbJEZH3JW5YRlJwQeErVvCRl0ernRM5RUVeZrVrLTk8DBw4wFJDLkPcFU8fHmaZop07+dzezomtvZ2PwUG66Xt7WVvzxReBP/6RgrSmhjGRqhS9f/gD8MQTzDLPyKBoCwYTKjYBtrf5EeIQm7m5/F7mzmWykBPjJ04wW931Tw8EvNqgXV18HhwceSz3/bsYTxHvYtDXx+cJWG1nGf8bwCMAloOFAVaCLW7/BoxwyATw5aSNzjASzRjNJqbt850wdB6tROBqJLuHP6YqxhPDrJuzglgsnJUADonIzxE9g/T1AL49RWM0ppto2YiR7oRdeaK+Poqs2lqW+QDOTAqqqKA1sLiYostZMFVpTc3L4/FOnKALOieHAnb/forRQ4c4cbW18TmB7ATVTDGAy2LdKSvLE5nl5bRaBgIUzy5LfuNGitI5c/jeZZ5XV9OKC4zt0ko/K8EnACxT1b7Q+4Mi8l4A+1X16yLyLgAHkjY6w0g0UynEYv38qaivaWWUjFGMKzhV9W4R+TyAdwH4a/C6HJ5B+nMAd6tq6xSO05gqoomdSMud+MnOpmCsq+NzeTmtjs7C6SaW8KSg4WEm8zQ0cPuCAk+g9fRQkHZ0cF9Vvl6xgvGarhuPy04fTmwYXyMYs/l3AO6NdafcXFoiy8ro/l65kq+7uiicS0sZJtDVxSxUVb5W5ffS08NJ2H3P4ULeFYDv7aUg7wtpr9lWbHliZACoBbAvbNlCAL7Q625YsqMx25gzJ3qljGQLsakShtNRRsksm7OKWGM4WwB8LvQwUolo8TuRlrs7YecSnj/fa+E4bx5F2KJFnnVu7lwKSVVg714KpjlzaLFctIjCc3iY8Znt7cz0dsk1zrpZVsZturpG1tVMIDWgj/aqWHfIzPTONyODrvFlyyigT53yBHNNDc+xuJjfZWkp93dCvKfHE/XhVsymJp7v8DC/i3nzKPLTw0rwBQBPiciDABrAP8+toeUA8AYAf0zS2AxjYqxaxbCgSCQ7Jns21dc0ZjVmKUh3orlsIy2vDJU/r6uj2Cwro3AqKqIIq62lyHK414cPU4xlZjIpSAR49VXGdboMb9dX3LWn7O1lvKazsLa0eJa+BDEMZqVXgeb7mCku9sSga5k5MEABWlvLcwQoyo8epWDs7+f7gQGK7pqa6BUAnLguKPASChYtSuCZz1xU9V9EZDeAGwBsAnAcwF+r6uOh9dsAbJvIsUUkB8BXAFwBYC6YoHS3qv4iEWM3jKi4m83RLF06veOYLqajJJJZN2cdJjjTnWjxO5GWuzvhxYtpsevvp4BavvzMu+PwLkK5uUwA+v3vadULBmn527uXFkLX63z9eq/wfCBAF1R9vWclTTCfAc1mOwHMj2fHvDx+H86yWVnJ7yEvj6K4spKi3O+nNbenh6KzpIQC1IUlRKsAAHi1OKfgvGc6IXH5+BQcOhO0ml4M4AiAawB8X0TWqWr9FHyeYZAlUap9ve510zuO6WKqSyKZ2JyVmOBMd6LF74wV1zPWOndne+AARVdFBS2VqrybP3iQlruODlo3g0GK06EhCrPcXGDXLgrQ1lY+2toi19mcJDcAGABQHc9OIhTDrvuRizutrqYVt6KC4nPuXJ5bQQFFpt/PovYFBZ44LS317vzDXVou3nNoiCJ1vF7MKYSIZIEtLG8G/zTHAHwHwKdUdVL/BKraA+DjYYt+KiJ1AM4BUD+ZYxvGmGzdGnl5qlo40y/Z0YiBuASniBSrasdUDcZIAtHid8aK6xlrnbuzbWqitU+EIqy3l8Jp6VLg5ZcpQl0LyqYmL4v78GEKtL4+is0TJyi8ursTdsq9APxgiYWPx7uzCC2bPp/3vrTU62rU28twg5YWikyXRDUwQAHa3++VPYqGK00V7o5KH/4FwLkA3gOWQ10E4J8AFAH4+0R+kIjMA/8N9oyxzW0AbgOAhQsXJvLjjXTivPMiL0/V/6lJZL6P+M1FmifNujlridfCeVJEmgC8GHrsDj3vU9XBMfc00gN3ZztvHsViSwsF46JFnIROnaLgKizkRLR7N93LbW3c/vBhWjyDQa9AfALpAfAaAG8F8NGJHCA7m5bZ/n66zv1+iuPhYVp0lyyhlfbCC+kWz87muVZWxp74k95B/DcA2BBW9eIVEXkewC4kUHCGLKmPAHhYVfdF205V7wdwPwBs3rw5/eIbjMQQLQZ7y5bpHcd0MYnM9xG/uepq+82lEOMWfh/FWwAcBfsd5wP4JHghaBORH4tIiv56UhiXUX38uFeSZzLk5VFkDg4yTtO5VTo6aNkMBrlNZSWtmvPn0zLo8wGvvOLV4jx+nK7rBJMFFo59zUR2Li6mtTYvj68rK2ndrKqiqC4r42POHG6zZg2Tg0pKvO2Lijwr8ES+70T/vWYe0TILxs04EJHtIqJRHr8L2y4DdNP3A7gjMcM2jDHIiHKpTdVkwEhNLBKBWTdnNfFaOL8GYLWqdgKAiPgA/BuAF8Br+X+LyC2q+kRih2lMGYkK7g5vW9nVRctfRQWtfocPe/U48/PpZvb76U46eZLPBw7wbti5rAMBuqETyDCAbAD/PtEDFBd7rqE5cygkc3Mpol3po8JCis+aGp4bQBHa1ORNupP5vqe7P/H08xg4j3wCTOxZBMZ0Pjbejqp6yXjbiIgAeADAPADXqGpi/8kMIx6iCVHDSEHiFZzDYPhbJwCo6pCIfAjAs6p6logcAvApACY4ZwsTDe4eXfZClaKqvd2rrVlfDzz3HEWZi9OcP5/riop499vTwyShoSEeKysrofGaju0A7gLbVi6YyAHy871yRqWlFJZOFM+ZQ+vs0qUsTL9oEd3nDQ089+pq7/sJBCg8Cwt53HiD6VM/GP//ggLzy2DS0FEAjwK4J0HH/yqAVQCuUNXEm9ANwzCMiMQrOL8J4FERuVVV60LLKuAl+j6JGCwRs4LpqCM2E5hocPdoS5sr1l5S4tWRPHrUcxl1dHB9TQ3FW2YmP/uSSxi/uWePF9fpeqUnkAEAOWDryrjJyaGoDHeXl5YydGDRIlpuXTH47m5g3z4mPAH8/6mv5/eVk8P9jh71jhtv56CpakOXRERkdDfR7aGHAHAxA68F8NQkP2cRgNsBBAE0ifd7vl1VH5nMsQ3DMIyxiVdw3hPaZ5eIHABLlpwPr4/6AgCpkTyU+q5L4lpJnjjhtbR0rRXHItzSFt6uMSODCTUZGeyusWuXV1fzwgtp1Tx2jNvX1VFkdnVx364uis+enoSXQXodWO077luGoiJPKObm0t3virZnZHgFnQcHadkNBHi+/f2sV9rfz++2qIhW3Oxs7j88zO8i3gz01OxP/ECU5U5sOuEZpZhhbKjqYUzgX8AwjBmAxW/OeuISnKqqAD4qIv8O4HIAZQDuU1VneagC3WGzn9R3XRLXLUeV5+piDcc717w8FnZ3rnBntayro9AqKKDFr7CQxc/z82mR27+fWd07dnDb/ftpKWxooDveCbcE8X6wyOI7MQGlkZnpxZvOnUvr7Wtfy3qaLjPdtfLs7OR5ZGRwvast2tVFUVhczPPr7BwZTB8vKZjBrqqLkz0GwzAMY2qZUOH3UG/1/4yw/M8A/jze/mO1mBOR80BL6jkAhkDX2vtU9XiUY20HcB48y+pRVV0Z5ymdSQq6LqMyGXEtwu+ntJQia+FCfncumWbBAgpL1zGor48i7NQpup4bG7mdS7BJIH1gzS7/RA+QnU1hXV4ObNpEd/rSpUyG6uhgG8sFoYjQhgaeR04OhaYTq+59WxuXlZR42eqGYRiGkSYkq9NQ1BZzAOaANbieAEXklwA8CODqMY53h6p+M6EjTE3XZWQiietIMayAt6yz03Mz5+byfVER3ceu5WVFBbBzJ/D88xRbnZ08bksLOw65DkSnTk3JaeUC+CUm6EMtLKTozs6mNTIzk2K6uNirM+q+ExGur67mOfb383VREb/L/n5+vyUlLOieirHAhmEYU4W501OCpAjOsVrMqeoPw7cVkS8B+M00Ds99cHJcl8lIVookriPFsALeMleQvayMomzRIu5fWkqrYFMTyyGdOMG4xmPHPAtgWRmtf6q0iibQhQ4AJ8ECsZ8BUDiRA5SUcIwlJV7IQVubd+5lZbRuhocfDA7yHAsKKDD9foYRuGQhV4fTxKZhGIaRhsyIImDjtJi7KMrycD4jIi0i8nsRuWSMz7lNRJ4Tkeeam5snPuCpxAm9vj4+T6bTTqxFwiMV6Q13s+fkMJGnqYnHcVbQoiKv7E9NDffLy6PAPHCApYJUPRE6PMztT51iNvfgII+bYBH2GwAPA3h1IjsXFtKSWV5OUVxSwmU5ORSdTU0MD3DiubeX+2Vm8jsoLORzZqZX+ik3d2IJQoZhGIaRIiTLpX6asVrMich6sAPhdWMc4gMA9oJdQ24Ci0ZvVNVDozecFW3qEpmsNJlM+9Fudp+Px+vsZAym6/ftjtfRwXUnTjAhqK2NQmtggJ9/1lkUcf39wM9+RrEJeGIzM9NbNkluALsJlU9k56EhiuCCAgrp4WFm2w8MeGPs7WVpo5oaL7Y33JoZDPJ9Cib4GIZhGMZEmLTgDHUb+rCqfnIC+0ZtMSciywD8AsD7VfXpaMcIJSo5HhaRt4ExoV+MdzwzgkQmK01GvI52s/f0eAXP29u53m3jipoPDlJQdnczW9t1FVq5kgk3Q0PctqKCCUN5eTxudjbXTZKfAKgEcC4mKDYBispgkGJ50SKeQ2Gh13JzSagyT07OSKtlOsX8GoZhGEacJMLCmQngY2DYXMyM1WIuVKD5SQD3qOp34hyPYjbX2kukcAkvXeTzAcuXR982UuzoaOucs+C5TGtXTqmhAXj1VYrNkycpNouLaRVcvBg45xy62V1/9JISHqeri2NzSUaTYAisx1UG4FeYxD9Afr7XsjI/n9/DokUUzhUVXDYwQLe7+9t0dPB7y8vjw7nZRydapXIDAcMwDMMYg5gEp4h8a7LHiEDEFnMiMh/sKPJlVf3aOOMqAbAVDNsbBHAjGPN55wTHlHwm64YNF479/bEVcQfGd79HE8KdnYxpdO0t/X6KzLIybrtwIZ9PnWLNTZexvXQp3e7Dw1zW1zex8w3hA+tn9WMSYjM3l2WO5s+ntfbwYeDssznWoSEmBQ0M0LLpMvUB73trbOT7srLIiVap3EDAMAzDMMYgVrH4V6A1MlL9Gl+8HzpWizkAy8COIh8TkY+5FapaENr3bgAXqurrAWQB+GcAZ4FGrn0ArlfVV+IdU8oQLhwbGryM62DQsy5GYjz3ezQh7LZrb+f7zEy63vPzKT4zMoAjRyjGWlv5KC3lOMvLKeDa2iZ8usNgQdgbwYKuE6a8nEJzyRKOr7ubVty2Ns/9776b3NyRCUPuexsa8lp8Ameud8vCv8N0aaFqGIZhpDWxCs4XATyhqj8ZvUJEcgF8MJ4PjaHF3CfG2PfTYa+bAWyJ57NTnnDh6ISgy1avrY1u8Zxo7KjfzxhMn49isqKCAmpoyOus89JLFJ719RyXCJNyjhyh4JxE/OaPwbuhfABvmuhB8vKAZcuY2FRWRkHp83nr6uqA17yGQrSxkd9TcbH3Hbnvze0TDI78Dsf6XtOlhaphGIaR1sQqOB9C9BJKAxhDIBqTJF4LWLhwzM6mwGlro2Wzp8drrTiaicaOuu2CQWDDBrqi/X6KT5+PcZp9fbQYZmdTYGZncztVjilauaYYuB7A4wCunOgBnDDPzubz8uX8/urrOdauLuDcc/m9+Xx8uBJS4d9RTw/FdiDAEIHR3YSifa/p0kLVMAxjIljR95QhJsGpql8eY90QTHBOHbFawJww7emh4MvM9LLL8/O9cj3RBM1EY0fdfosXc5yqFJc+n1cSyY1HhBbEwkKONSODQq8wVJ69tzfmIvD1ALIBVAO4Kr4Re+Tk0LJZW8s4zXXr2EGooIDjPXGCr0Vo9czI4FgrK0d+T+61+zsFg17BeLc+2veaTi1UDcMwjLQl1qSh8wFcp6ofiLDuXgDbVPVPiR6cgdgtYOHCNBj0iri7dcDUChpnuXNis7WV73NymDDU1sZMbxG2thwc9Fzug4Ncl5ERk+BUAG8H0A5gNyYQROyorub3tHIlsHEjsHkzrZMHDlBY5uZyvDU1FKWuP3ykWNiJWiqtnJJhGIaRBsTqUv8wgK9EWbc9tP6NiRiQMYpYLWDRBM90CRpn6QTohl6wgGMvLGQNzo4Or/3joUNcVlNDC6wrKh9j8pCA1ftPYhJis7QUWL+eRd0LCzk21z1o82aguZmhAAsXcv2hQ4w17e2lUB0d3jBRS6UVhzcMwzDSgFgF50YwVC4STwIYq2ySMRliFYzRBM9UCZposaXhwtcl4FRVedbXri7u199PoTlvHl3vwWBMH1sPoBbAmtBjwixdyphTlyjkhGN1Nc+lttbb1mXg9/TQWjt3Ls8H8L5Xs1QahmEYRlRiFZxFYMhcIMK6LACFCRuRMZJYBeN0C55osaWRhK8bS08PLYmDg3SdBwKMlRwaiqnw+zMAXgv2SX/bZMa+ejXw+tdTXObmemNfvDjy9xwIUJRmZtL1r+qVRXLbm6XSMAzDMKISq+DcByYC/zjCuitD641kMt2CJx4Xfri7fWiI7vZgkCKuvZ0xk5mZ48ZwrgfwAbBv6YTJzaUr/bWvZcKQs6zOmze+9djnY4xqcbEl+BiGYRhGHMQqOO8D8PVQ3/Rtqjoc6oN+PYAvA/g/UzVAY4YSiwt/tNu9p4dtIltbvSz6rVuZCd7dzWSi7u4zPqofLPCeC+CeyY578WJg0yaWP1q4MLYi60VFXr/48nKK7NFlj4xZh4gsB2sM/0BV35Hs8RiGYaQysZZF+q6IVILezBwRaQHbVvcB+Jiqfm8Kx2jMRGJx4Y92u7si8X4/E4QyMyk2zz6bXZGOHo0oOO8E8CyAp0HROWFqa4E3vhE4/3wmBDU1xVbbNLzEkevaFL7MmK18GfzXMgzDMKaYmPugq+rnReSbAF4DoBRAK4A/qmrnVA3OmMHE4sIf7XbPzPQertf6vn0UnatWMRO8r88rqRTiKgCVmKTYLCgAtmxh+8q+Porb9na68Zcvj97yM9q5WIH2WY2I3ARW1voD2E7XMAzDmEJircPpB/ARAGsBPA/gM6oaW1qxMXtIdF/vSG73wkKKv+FhPrKy+Jg3j5nj7e38/EAAQ2DZo+tCj0mxfLnXHUiEsaSu5eeJE+MLTivQnjKISBGATwK4HMBfj7PtbQBuA4CFCxdO/eAMI80Z8Zuzm/qUIlq7ytF8CayzuQ/AWwF8bspGZCQP5wLv6+Nz5ySN10VFFHmuNFJREYVlWRkTcDIyKD57e/l64UJgxQogLw8tANYhcpZa3OTksD3lZZexDFJWlrcu1raakc7FmK3cA+ABVW0Yb0NVvV9VN6vq5vLy8mkYmmGkNyN+c35/sodjJJBYXeqvB7BJVY+LyBcB/BbA303dsIykkGi3cSS3e3Exk3aqq1mTc3iYyUQHD3JdVhawaBEGAwFUBwKYP7kzovv+ggtYCsnvp9CtqgJOnqSVs6TuFVpfAAAgAElEQVSEIngi52LMOERkO4CLo6z+PYA7AFwB4OzpGpNhGIYRu+DMV9XjAKCqDSJiV91UZDrcxiIUeSUl/Kzjx2nx7OpiF6K8PKC4GJULFuB/Dh6ExNhbPSJZWcBNNwHXXktL6pw5fC4qonAMBLzQASMlUNVLxlovIneCvQOOCMNFCgD4RGS1qm6a8gEahmGkKbEKzkwRuRTsKhjpPVT1qUQPzphmprt4fE8Phe3Jk7R0LliAH/75z9hWX4/7Fy9GHkDL50RF56JFrLe5eDFQUUGBmZPDmM2qKj6MdON+AI+Gvb8LFKDvTcpoDMMw0oRYBedJjGxf2TrqvQJYkqhBGUliut3Gg4PMFg8EaOksKEDd0BBe7e9HxoIFjJc8fpzWz4lQWMgyTEVF/IzsbMsyT3NUtRdAr3svIt0A+lS1OXmjMgzDSH1ircNZO8XjMNKRzEygpgZobOT7gQHc9cY34v233IKs5mbgN79h5vrOnfEfOysLKC2liM7OZlF5wKujaVnmBgBV/Xiyx2AYhpEOxJqlDhHJCnv9WhG5KOwRcz1PwzhNfj6QlYVhnw9/99hjeOHwYWDuXGTl51MUnn02rZwTyVQsK2MGekEBrZqlpbR0Wpa5YRiGYUw7sdbhfC+A8wHcHFr0S9CtDgB+AP8XwAMJH52R2hQVAR0dOFZXh227d2PZggU4e9kyxnYuXsxtDh9mHGdv79jHCmfuXK9tJkDx2t9PoWludMMwDMOYdmK1TL4TwHvC3gdVdQEAiMhGAF+FCU4jXkSArCzUbNiAFx98EMU+n5c1fvIkLZRlZcDGjcALL7Ao/NDQ2McsK2M2+pVXsvbm0qW0ak5HEpRhGIZhGBGJVXAuVtVdYe/3hr3eBUsYMiZAXV0dtn3ve7jziitQkp9PAVpUBCxbxtqYe/cCCxZQaL76KjAwQGulKi2W4Yhw2w0bKDRddvqCBSwqbxiGYRhG0oj1SlwgIvnujapeELbODyD/zF0MY2weeOABfPJf/xXHCwvZZWjBAq+v+cKFFJ3l5UwuKixkzKfLPA/vFgRweVERLZrXXst9RVgCqaMj9o5ChmEYhmEknFgtnC8BuBLAjyKsuxrAnoSNyEgb7rnnHtx6662oXro08gZZWUB9vVeqKTubbTe7u5l1npVFq+fQEF9XVwNLllCktrZy3wULvGL2Fr9pGIYxe6iuTvYIjAQSq4XzCwC+IiLXi0gGAIhIhoj8Bdhn/QvxfKiI5IjIAyJyWES6ROQFEXl9aF2tiKiIdIc9/mmMY9WKyK9FpFdE9onIFfGMxZh+tm3bhpMnT0JEsDSa2AQYi7lxI5N9tm4F1q4FVq2ioFy/ngLS76dFtKaGhd5Xr6a7vaOD612rzniSjgzDMAzDSCix1uF8VETmA/gPANki0gKgDEAQwCdV9XsT+NwGsOfxEQDXAPi+iKwL26ZEVQdjONb3APwxdIxrAPxARJZbIeeZSVtbG2655RbccMMN+OY3vzn2xgUFnmu9sZGWzRdfZOehtjZaNUUY81lWRtFZVUXBuXAhRWYwaHU3DcMwDCPJxFw/U1X/n4h8A8BrQLHZCuCPqtoR74eqag+Aj4ct+qmI1AE4B8COWI8jIisAbAJwpaoGAPww1Cv5LQC+Fu+4jKlnzpw5+O1vf4tFixaNv/HoVpvd3exOtHs3XekFBRScAN3tPh+XZ2TQullSMn1tOg3DMMairMxrQOHeG0YaEVf6rqp2quoTqvqIqj4+EbEZCRGZB2AFRsaCHhaRRhF5UESi/TLXAHhVVcN7H+4KLY/0ObeJyHMi8lxzsxlAp5P+/n48/fTTAIANGzagpKRk/J1cq82qKlozBweZQOT302pZWgpUVtKyWVrKCXx4mC70QMDbt7jYE6aGYRjJYHQ8osUnGmlG0uvFhDoYPQLgYVXdB6AFwBYAi0CLZ2FofSQKAIwWvR2hfc5AVe9X1c2qurm8vDwRwzdi5POf/zwuvvhivPzyy/HvrErL5cGDwLFjQEUF4zVd+8ryck7eqrRuBoMT605kGIYxVYyurDH6vWGkOEltSRlKQPoOgH4AdwCAqnYDeC60yQkRuQPAcREpUtXOUYfoBjDaV1oEoAvGjOJ973sfamtrsWrVqvh37uwEurroUn/hBbrPKyooNvv7gZUrgbw8JhKVl7N8krnQDcOYSQwPj/3eMFKcpAlOERGwO9E8ANeo6kCUTV0BxUg+0T0AlohIYZhbfQOA7yZ0sMaEqaurw/z58+H3+3HTTTfFvqMqhWZvL5/b2lgAftky4NAhxmeWldGyWVLCxKLSUopNl5FeVGSudMMwZgajawFbbWAjzUimS/2rAFYBeGMo4QcAICJbRWRlqOxSKYB/B7A9Uryoqu4HsBPAx0QkN1SmaT2AH07PKRhjEQgEcNlll+Hmm2+Of+fOTuD4ccZiHj0K7NxJd3lJCbBmDa0D5eWctMvLafUcGuI+fX187hxtEDcMw0gSZuE00pykWDhFZBGA28GySk3iWaFuBzAM4NMAKgB0AvgfAG8L2/drAKCqrrf7TQAeAtAGllh6q5VEmhnk5eXhs5/9LGpra2PfyVk26+ponVRlstCcOSyNNG8ek4IWLgRqaylIc3OZPNTU5NXfzM6mpdOKvRuGMRPIyRn7vWGkOEkRnKp6GJFd5I6odT3DhKZ7Xw/gkoQMzEgYp06dwty5c/GXf/mX8e3oLJsZGRSY2dl8ffbZFJi9vRSfc+YwbjMYpOAUYZyni/csLgZWrJiSczMMw4ibwkJW2VDlfFUYMbfVMFKWpGepG6nHj3/8YyxevBg7dsRcUtWjt5d3/qWlLHeUk0PxmJvLZeeey37rAwNeUXe/n/uVlrKVZX4+J/SeHuujbhjGzMDvZ63g8GfDSCOSmqVupCabNm3CjTfeiLVr18a/s9/v9T7PzgbWraN4dIIyPPt8dFH3jg4KVGdFCAa9OE5zrRuGkUyqqmjVdLWCq6qSPSLDmFZMcBoJY2BgAFlZWViwYAHuv//+iR1kdHchl2k+WjAWF/PhYj57eihWMzO5T1aWFyNlsZyGYSSboiJaNvPyWM7NSrcZaYa51I2EoKq46aab8J73vAc6GRd2eHehWDoEuZjPYJDCMj+fCUT9/SNd7oYRQkRuEpGXRaRHRA6JyIXJHpORBvj99NK4hhU2Lxlphlk4jYSgqli9ejXmzJkDmc7aly7mM9yaWVnpvbY+6kYYIvI6AJ8FcCOAZwCYX9OYHoJBNq8oKOBzMJjsERnGtGKC05g0qoqMjAzcc889iTyoV/jd749exD085jMYpMB0VlJzoxtn8gkAn1TVP4XeH03mYIw0wpVvGxig6MzNTfaIDGNaMZe6MSnq6+tx/vnnY+/evYk9sHOVj1fEvajIc6G7up2WlW5EQER8ADYDKBeRgyLSKCJfEpG8Mfa5TUSeE5HnmputvK8xCebOZSJkdTWf585N9ohmJPabS11McBqTorm5Ge3t7cjKykrsgcNd5Tk5XrvK0Yh4QjM7m8XfrcOQEZl5ALIAvBXAhQA2AjgbwEei7aCq96vqZlXdXF5ePj2jNFKTtWtZT3jOHD5PpIpHGmC/udTFBKcxKbZs2YKXXnoJy5cvT+yB/X4v6We8xJ9YxamR0ojIdhHRKI/fAXAtdL+oqsdVtQXA5wFck7xRG2lDeTlb8y5YwGcTU0aaYTGcxoS4//77EQwGcccdd8Dn8yX+AyKVR4pGpDhOI+1Q1UvG20ZEGgFYzIUx/QQCrMPpPDKBwPj7GEYKYRZOI25UFU8++SQef/zxyZVAGot4yiMVFXG73Fw+W1a6EZ0HAfydiFSIyBwAdwL4aZLHZKQDwSAFZ0UFny1L3UgzzMJpxI2I4NFHH0UgEEBGxgy4Z7GsdCN27gFQBmA/gD4A3wfwqaSOyEgPCguBvXvZpCI/H9i6NdkjMoxpZQaoBWO2MDAwgA9+8INobW1FRkYG8vPzkz0kw4gLVR1Q1b9R1RJVrVTV96lqX7LHZaQBR44Ara3A4CCfjxxJ9ogMY1oxwWnEzLPPPov77rsP27dvT/ZQDMMwZhcNDewyNGcOnxsakj0iw5hWzKVuxMz555+PAwcOYOHChckeimEYxuxi7lyWbBsc9JIhDSONMAunMS67d+/Gr371KwAwsWkYhjERFi8GamtZVaO2lu8NI40wC6cxLh/5yEewa9cu7N+/HzmuZ7lhGIYROxkZrKLhyiLNhIRLw5hGTHAa4/Ld734XR44cMbFpGIYxUZzQDH82jDTCbrGMqDzxxBMYHBxEQUEBVq9enezhGIZhzF5EgLw8dhnKyzPBaaQdJjiNiLz44ou4+uqrcd999yV7KIZhGLOfvDzW4HzlFT7n5SV7RIYxrZhL3YjIunXrsG3bNlx11VXJHophGMbs59gx4NAhoKCAz8eOAWvXJntUhjFtmOA0RtDd3Y3m5mYsXrwY1113XbKHYxiGkRqcOgUsW8aOQ11dfG8YaYS51I0R3HnnnTj33HPR0dExvR+sCnR0AMeP83mqerQbhmEkg5oaoL4eeOklPtfUJHtEhjGtmIXTGMHdd9+Niy66CMXT3Ze8s5NiMyeHghOw3uiGYaQOBQW0bgYCjN8sKEj2iAxjWkmKhVNEckTkARE5LCJdIvKCiLw+tO7tItId9ugVERWRc6Ica7uI9IVt/8r0nk1qcOLECQDAkiVL8M53vnP6B9DbS7HpHr29XG6WT8MwUoHmZuCss4Dzz+dzc3OyR2QY00qyXOqZABoAXAygGMA/Afi+iNSq6iOqWuAeAP4GwKsAnh/jeHeE7bNyykefYhw7dgxr167FZz/72eQNwu8HgkHv4fdzubN89vXxubMzeWM0DMOYKPn5wP79TBjav5/vDSONSIpLXVV7AHw8bNFPRaQOwDkA6kdtfguAb6uaaWuqqKiowG233Ybrr78+eYMoKuKz6zEc/j4nBwOZmWjs7UVfQwOzO41ZQW5uLmpqapCVlZXsoRgpxsDAABobG9HX15fsocRGQQHw5jd7Rd9zc4GXX072qKYdmxPSlxkRwyki8wCsALBn1PJFAC4C8O5xDvEZEbkXwCsAPqyq26N8zm0AbgOsJ7ijr68Pubm5+NSnPpXcgYgwZnN03KbfD3R0oLG3F4Vz5qC2vBxiE9WsQFXR2tqKxsZGLLa+0UaCaWxsRGFhIWprayGzoYh6Xx/Q38+WlsPDQHY2RWcaYXNCepP0LHURyQLwCICHVXXfqNXvBPC0qtaNcYgPAFgCYD6A+wH8t4gsjbShqt6vqptVdXN5eXkCRj+7+cY3voFNmzahqakp2UOJTlERUFWFPlWUlpdDMmfEPZIRAyKC0tLS2WOBMmYVfX19KC0tnR1iEwAyMwGfj699Pr5PM2xOSG+SKjhFJAPAdwD0A7gjwibvBPDwWMdQ1T+rapeqBlX1YQC/B3BNwgebgixduhSbNm3CjBbfzvLp89GyOVsuLgYAzB4xYMxKZtX/l8/HhMjsbD478ZlmzKq/mZFQknaLJfyvewDAPADXqOrAqPUXAKgG8IM4D60A7D96DFQVIoLLLrsMl112WbKHYxiGkfqIpKVV0zAcybRwfhXAKgBvVNVAhPW3APihqnZFO4CIlIjIVSKSKyKZIvJ2MObziakZ8uxncHAQV199NR544IFkD2XiqAKDg4yHGhyctlJJjY2NuO6667B8+XIsXboU73//+9Hf3z/ufp/+9KdHvC8I1d87duwY3vrWt07JWO+880789re/BQC8613vwuLFi7Fx40Zs3LgRO3fuPL3d9u3bsXHjRqxZswYXX3zx6eWPP/44Vq5ciWXLluHee+89vbyurg5bt27F8uXLceONN54+/y996Ut48MEHp+RcEomI1IrIz0WkTUSaRORLImIqwJgQcc0JYfPWp//5n0fMWzYnGGmBqk77A8Ai0BLZB6A77PH20PpcAO0ALo+w790AfhF6XQ7gWQBdoe3/BOB1sYzhnHPO0XSko6NDr7rqKv3Od76T7KHExd69e703AwOqvb2qfX18HhiY8s8fHh7WLVu26Le+9S1VVR0cHNR3v/vdetddd427b35+/pjvY2VwcDCm7VpbW3Xr1q2n399yyy362GOPnbFdW1ubrlq1Sg8fPqyqqidOnDj9OUuWLNFDhw5pMBjU9evX6549e1RV9YYbbtDvfe97qqp6++2361e+8hVVVe3p6dGNGzdGHM+Iv10IAM9pcuaenwN4KDTHVAJ4EcD7Ytk3XeeMmUqk/6vpJO45IWzeys/PHzFv2ZwQeU6w39zsINb5PCkWTlU9rKqiqrkaVnNTVR8Jre9T1RJV/VWEfT+tqq8PvW5W1S2qWhja/jxV/Z/pPp/ZRFFREX7xi1/gHe94R7KHMnGGh5npKeJlfEbY5KWXgCee4HOETeLiqaeeQm5uLm699VYAgM/nw3333Ydvfetb6O3txUMPPYQ77vDCkK+99lps374dH/zgBxEIBLBx40a8/e1vH3HM+vp6rF27FgAwNDSEf/zHf8SWLVuwfv16fP3rXwdAa8Oll16Kv/qrv8K6devQ09ODN7zhDdiwYQPWrl2L//zP/zxjrD/4wQ9w9dVXj3tO3/3ud/HmN7/5dMWGiooKAMAzzzyDZcuWYcmSJcjOzsZNN92EH//4x1BVPPXUU6ctMLfccgu2bdsGAPD7/aitrcUzzzwT1/eaBBYD+H5ojmkC8DiANUkekzENJH1OeNObsP3pp/HBj3yEc8I559icYKQVSc9SN6aHF198ETfeeCPa29tnf9C2E5mqnvgcxd69wPbtbOaxfTvfT4Y9e/bgnHNGNrsqKirCwoULcfDgwaj73XvvvcjLy8POnTvxyCOPRN3ugQceQHFxMZ599lk8++yz+MY3voG6OhZneOaZZ/CpT30Ke/fuxeOPP47q6mrs2rULL730UsSLyO9///szxvrhD38Y69evx9///d8jGAwCAPbv34+2tjZccsklOOecc/Dtb38bAHD06FEsWLDg9L41NTU4evQoWltbUVJSgsxQHJpb7ti8eTOefvrpqOc4Q/g3ADeJiF9E5gN4PSg6IyIit4nIcyLyXLN1hpnVJH1OEAGGhnDvxz7GOWHHDpsTImC/udTFBGeasGvXLvzpT39CIBApXHaW4fMBLmM9KytitufRo0BJCRPcS0r4fjJoKNEq1uXx8stf/hLf/va3sXHjRmzduhWtra04cOAAAODcc889XbNu3bp1ePLJJ/GBD3wATz/9dMSe98ePHx9ReeAzn/kM9u3bh2effRanTp063VFqcHAQO3bswM9+9jM88cQTuOeee7B//37neh6BiERd7qioqMCxmV+U/zegRbMTQCOA5wBsi7axWim1lMHmhNkxJ9hvLnUxwZkmvOMd78C+fftQVVWV7KHEj7NkuiQhgNme2dl8jjC5z58PtLez/Xp7O99PhjVr1uC5554bsayzsxMNDQ1YunQpMjMzMRzmo4u3zpyq4otf/CJ27tyJnTt3oq6uDldeeSUAID+sBd6KFSuwY8cOrFu3Dh/60IfwyU9+8oxj5eXljfj8qqoqiAhycnJw6623nnZx1dTU4Oqrr0Z+fj7Kyspw0UUXYdeuXaipqUFDQ8Pp/RsbG1FdXY2ysjK0t7djMPQ3cMvDzzkvLy+u804kIrJdRDTK43ehMmxPAPgvAPkAygDMAZDEnq7GdJH0OSEQ8MKAgHF9+jYnGKmGCc4U5wtf+MJpl8as/eF3dgJDQxSeAwN8PQ6rVwOXXAKUl/N59erJDeHyyy9Hb2/vaRfT0NAQ/uEf/gHvete7Tscq7dy5E8PDw2hoaBgRt5SVlYWBgYFohwYAXHXVVfjqV796erv9+/ejp6fnjO2OHTsGv9+Pd7zjHbjrrrvw/PPPn7HNqlWrRrj0jh8/DoAXsG3btp2OEbvuuuvw9NNPY3BwEL29vfjzn/+MVatWYcuWLThw4ADq6urQ39+PRx99FG9605sgIrj00kvxgx+wUtnDDz+M66677vTn7N+///Sxk4GqXhKKDY/0eC2AuQAWAPiSsm5vK4AHYXV704KkzwnPPccb5qEhZGVmYmCcChc2JxiphgnOFCYQCOBrX/saHnrooWQPZXL09tIyMEaS0GgyMoC1a4GrruJzhDDPuBAR/OhHP8Jjjz2G5cuXY8WKFcjNzT1d8uiCCy7A4sWLsW7dOtx1113YtGnT6X3/f3v3HyVVed9x/P3JLrKpaDaI1RAMVqm6ERAV1xxjEhs1IB5Mml9NxaZWqSaG0x+x+XFaYq0/Y1qptcTEtvlJPa1JS2iU5LRJDTGQBMXijxiMjUEE5aDLKQYRMMK3fzx3cVh2Zu4uzNy5s5/XOfecnXvvM/f5Ps+d7z7z3Dszl112GVOnTt3nAwKV5s6dyxvf+EZOOeUUJk+ezOWXX75n1qDSI488Qm9vL9OmTeP6669n/vz5++xz/vnns2zZsj2P58yZw5QpU5gyZQp9fX17yvT09DBz5kymTp1Kb28vc+fOZfLkyXR2drJw4UJmzJhBT08P73//+znxxPS5mptuuokFCxYwadIkNm/ezKWXXrrnOCtWrOCcc84ZWsM2UUT0AWuBD2dfo9ZN+vq1h4qtmTVD4Tnh5JP3/NrQZZdcwtTp050TbETRYPdgjATTp0+PgZdD2tGWLVsYPXp0eWc3AZ5/njXr1tFz/PFpsDlqlL9AuY4zzzyTu+++m+7u7qYcb/Xq1SxYsIBFixbts23NmjX09PTstU7SAxExvSmV2/u404BbgJOAXcD3gI9ExLP1yo6UnFEWg51XLe3ll9MVmv43zU3OY2XMCX7NlUPefO4Zzja0bds2brnlFnbt2kV3d3e5B5uQfk+9o6Pmh4RsbzfffDNPPfVU047X19fHtdde27TjDVdEPJhden9tRIyLiPflGWya7bccH3ZsJOcEK5qnidrQnXfeyZVXXskZZ5xBb29v0dXZf/2X0g86qOialMbpp5/e1OOde+65TT2eWekU/NOWzglWNA8429All1zC9OnTmTp1atFVOaAO1NeNWPOM1Ft2rDmcE8rHOWHk8iX1NrJy5co9l0zabbDZ1dXF5s2bnaxKJCLYvHkzXV1dRVfF2pBzQvk4J4xsnuFsE7t27eKiiy7iyCOP5N577227d/0TJkxgw4YN+JcnyqWrq4sJEyYUXQ1rQ84J5eScMHJ5wNkmOjo6WLp0Kbt37267wSak77Ls/2UNMzPnBLNy8SX1NnD//fcD6RcnTjjhhIJrY2ZmZrY3DzhLbsmSJfT29rJ06dKiq2JmZmY2KA84S27WrFksXLiQmTNnFl0VMzMzs0GN2F8akvQcsK7oeuQwDugruhIHULvFA45pOCZGxOENfP4DrgE5ox3Pm7wc+8hUK/Z9coKkrcDPGl6r1lDm8yJXPh+xA86ykLSqiJ8AbJR2iwcckw3PSG5jx+7YG7F/mY2EWH1J3czMzMwaygNOMzMzM2soDzhb3z8UXYEDrN3iAcdkwzOS29ixj0xDjX0ktVXbx+p7OM3MzMysoTzDaWZmZmYN5QGnmZmZmTWUB5xmZmZm1lAecLYISf8saaOkX0p6XNLcim1nS3pM0ouSvidpYpF1zUPSaElfkLRO0lZJqyWdl207WlJIeqFi+VTRda6nVkzZ9jL20zxJqyTtlPTlivWl7KNWV629K7aX7hwaLknLJO2oOL/a+gu+JY2V9A1J27IccmHRdWqWofZ12duqVrySLsxi2iZpiaSxFdtqxl2rbBl4wNk6bgSOjohDgQuA6ySdKmkcsBj4FDAWWAXcWVw1c+sE1gNvA15Dqv/XJB1dsU93RIzJlmubX8UhqxpTifvpGeA64ItVtpetj1pd1fYu8Tm0P+ZVnF/HF12ZBvss8BJwBDAH+JykE4utUlMNpa/boa32iTeL4Xbg90ixvQjcVlGmatw5yra8zqIrYElEPFr5MFuOBU4FHo2IrwNIuhrok3RCRDzW9IrmFBHbgKsrVt0taS0pngcKqdR+qhPTYZSznxYDSJoOTCi4Om2vTnu/mxKeQ1afpIOB9wCTI+IFYLmkb5IGD58stHItps3bag5wV0TcC5BdNVoj6RBgN7Xjrlo2IrYWEMuQeYazhUi6TdKLwGPARuBbwInAQ/37ZIOeJ7L1pSHpCOA4oHJgvU7SBklfymZ3SmVATG3RT4ModR+VTLueQ7XcKKlP0gpJZxVdmQY6DtgVEY9XrHuI9u7bgfL2dbu01WDxDnyNP0Ga0TyO+nHXKlsKHnC2kIi4AjgEeAvp0tpOYAzw/IBdn8/2KwVJo4A7gK9kMzV9wGnARNLs4CHZ9tIYJKbS99MApe+jEmq3c6ieTwDHAK8nfen1XZKOLbZKDTPS+nagofR1O7RVtXhrxVYv7tK3iwecLSYidkXEctLltg8DLwCHDtjtUKAUU+iSXgUsIr0TmwcQES9ExKqIeDkiNmXr3yFpYJwtabCYKHk/DVT2PipC9kGBqLIsz/EUbXMO5WmLiFgZEVsjYmdEfAVYAcwqtuYN0zZ9OxxD7OvSt1WNeGvFVi/u0reLB5ytq5N0D+ejwEn9K7P7W/rXtzRJAr5AusH5PRHxqyq79v/clZpSsf1QI6bS9lNOpemjokTEWRGhKsuZOZ6ibc6hYbZF0L7n1+NAp6TfrFh3EiXs2wOkVl+3Y1v1xzvwNX4MMJoUc724a5UtBQ84W4CkX5f0AUljJHVImgH8LnAP8A1gsqT3SOoCrgIeLsmHCD4H9ACzI2J7/0pJp0s6XtKrJB0G3Aosi4iBlwta0aAxUdJ+ktSZ1bcD6JDUla0rcx+1rGrtnW0u5Tk0HJK6Jc2oON/mAG8F/rPoujVCdj/uYuAaSQdLejPwTtKVkrY21L4ue1vVifcOYLakt2RvKK8BFmezofXirlq22TEOW0R4KXgBDge+D2wBfgk8AvxhxfZzSB8k2g4sIza2G/EAAAhtSURBVH19UuH1rhPTRNK7uh2kSwH9yxzSYHotsI304aivAkcWXef9ianE/XQ1r3wrQv9ydVn7qNWXau1dsb1059Aw2+Fw4H7S5cAtwI+Bc4uuV4NjHgssyV5TTwEXFl2nVu3rMrdVvXiBC7OYtgH/AYzNG3etsmVYlAVhZmZmZtYQvqRuZmZmZg3lAaeZmZmZNZQHnGZmZmbWUB5wmpmZmVlDecBpZmZmZg3lAaeZmZmZNZQHnGZmZmbWUB5wmpmZmVlDecBppSPpRkl/UtCxn5R0Tvb3fZJOrLFvSNom6frm1XCv498jaYek5UUc32ykKConVeaj7LFzkrUsDzhbSJY8XpI0bsD6B7NEcXQxNWsdkg4HPgjcnj1+oWLZLWl7xeM5dZ5rr2Q9DH9D+j3bWk6KiL/Yj2MMW0S8HfhQEcceSSR9QNLK7B/5s9nfV0hStv3JivNyk6QvSRpTUf5CSauy7RslfVvSmdm2edm2nZK+3OS4nI9ycE7KzzlpZPOAs/WsJf2ONQCSpgCvLq46Ledi4FsRsR0gIsb0L6TfmJ1dse6OBtflm8BvSXpdg49jLUrSlcDfAX8NHAkcQfqH+mbgoIpdZ2fn6CnAacD8rPxHgVuAG7KybwBuA96ZlXsGuA74YqNjqcL5qL6LcU4yq8sDztaziPRuud/vA1+t3EHSeEn/Luk5SWsl/VHFtlMkrZa0VdLXJd0p6bqK7Z+U9ES2/aeSfrti21GSFmfPu1nSwpzlnpT0MUkPZ7M8X5B0RDZTs1XSdyW9tlrAkl4l6SpJ6yU9I2l2NrMyWJnzgO/nbEsk9UhaJmmLpEclXZCtX0T6535XNvPw8XpxDhQRO4AHgHcMoT5Daqs67V6zr62xJL2GNJt0RUT8W0RsjWR1RMyJiJ0Dy0TE08C3gckV5T8SEYsjYltE/Coi7oqIj2X7L46IJcDmnHUaymspj7r5KDuuc1JOzkk2YkWElxZZgCeBc4CfAT1AB7AemAgEcDTpTcIDwFWkGZRjgF8AM7LH64A/BkYB7wZeAq6rOMb7gPHZ8/wOsA14XXash4C/BQ4GuoAz65WrqPePSTM0rweeBf4HOBkYDdwD/GWNuK8B7s3KdgM/AtZX2fc54LRa7VfxeBTwc+DPs7Z5O7AVOH6w/evFWeUYtwILqtQngEmD1DF3W9Xor7p9nZW/GFhe9LndjgswE3gZ6Kyz355zBjgKeBS4Nm/5rNx1wJdz7Jf7tZTjuZ6kTj7K9nNOKignVdnfOclLSy6e4WxN/bMK5wKPAU9XbDsNODwiromIlyLiF8A/Ah8A3gR0ArdGmilZDNxX+cQR8fWIeCYidkfEncD/Ar3ZMh74WKSZlh0RsTxHuX5/HxGbIs3g/ABYGWmmZyfwDVLy2ofS/U9/ClwSEU9HxBbgv4BHqrRNNylB5/EmYAzw6ayt7gHupuIS4UA54hxoa1anocjdVjXqU7evreHGAX0R8XL/Ckk/zGautkt6a8W+SyRtAZaTZsNuAA4bWH5/DOO1lFetfATOSc5JzkmWQ2fRFbBBLSK9u/4N9r18NREYn/3z6tdBShLjgacj0tvIzPrKwpI+CHyUNFsKKfmNI72TXVftn1+Ncv02Vfy9fZDHYxjc2cDPI+LnFevGUj25/x9wSJVtA40nzUrsrli3jvQuflA54hzoEGBLje2Dyd1WNerzaur0tTXcZmCcpM7+101EnAEgaQN737L0roj4bmVhSfuU30+5X0tKH165PXv4g4g4r8bz1spH4JzknOScZDl4hrMFRcQ60s36s4DFAzavB9ZGRHfFckhEzAI2Aq+X0qdjM0f1/yFpImnmYR5wWER0Az8BlD3vGyTt8yakTrn9NY70wYj+Y3WQ7ol6uMr+DwPH5XzuZ4CjJFWe52/glRmaysQ43Dh7SJf9Drg69anZ19YUPwJ28soHfIZTfgfwrgNUn9yvpYi4I175IEutwWa9fATOSc5JzkmWgwecretS4O0RsW3A+vuAX0r6hKRXS+qQNFnSaaR/YLuAeZI6Jb2TvS+9HExKaM8BSPoDYHLF824EPi3pYEldkt6co9z+WgOcIWmSpENJ9x8dS/XZhG8Bb8v53CtJ9xd9XNIoSWcBs4F/zbZvIt1v1m9IcUoaDZwKfCdnfYaqVn3q9bU1WHap9a+A2yS9V9KY7MMm00h9V6/886T7Hj8r6V2Sfi07T8+T9BmArG+7SDOGHdnrstqVqaG+loaiWj4C5yTnpMQ5yWrygLNFRcQTEbFqkPW7SAlqGmnWoQ/4J+A1EfES6UbtS0mXVC4i3R+0Myv7U+BmUmLYBEwBVgx43kmkr/LYQLohvGa5AxDnfwP/AqwGVgEPAi+S7hUbzFeBWZLqfjVL1h4XkGYn+khfN/PBiOh/7huB+dk9d382jDgvAJZFxDM19hm2Ov1Vs6+tOSLiM6TLix8nfdhiE+lS9SeAH+YovyArP5/0T3w9afZoSbbLfNIlzU+S+nh7tm6w5xrqaym3avko2+ac5JzknGR1ae/bLazdSFoJfD4ivlR0XfKQ9CHg/IiYXWOfG4BnI+KW5tVs0HqsBC6NiJ9U2b6DlGxvjYhPNak+e/pa0ndIN/LfFxFnN/r41lryvJaK4JzUOM5J1so84Gwzkt5G+hqTPmAO8HngmIjYWGjFqpD0JtJls/Wkm/XvAC6IiB8XWrESKFtfW2O16mupbOdpq7ZjGZStr625/Cn19nM88DXSJwefAN7b4i/2k4GlpO9texy42Ik9t7L1tTVWq76Wynaetmo7lkHZ+tqayDOcZmZmZtZQ/tCQmZmZmTWUB5xmZmZm1lAecJqZmZlZQ3nAaWZmZmYN5QGnmZmZmTWUB5xmZmZm1lAecJqZmZlZQ/0/0PilaYo5jxEAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "\n", "\n", "x = master_catalogue['m_megacam_g']\n", "y = master_catalogue['m_gpc1_g']\n", "xerr = master_catalogue['merr_megacam_g']\n", "yerr = master_catalogue['merr_gpc1_g']\n", "labels=labels=(\"Megacam $g$ (Total) [mag]\", \"GPC1 $g$ (Total) [mag]\")\n", "savefig=True\n", " \n", "\n", " \n", "\n", " \n", "fig = plt.figure(figsize=(13, 6))\n", "\n", "gs1 = gridspec.GridSpec(1, 1)\n", "gs1.update(left=0.05, right=0.4, wspace=0.05)\n", "ax1 = plt.subplot(gs1[:, :])\n", "\n", "gs2 = gridspec.GridSpec(1, 3)\n", "gs2.update(left=0.47, right=0.98, hspace=0.05, wspace=0.05)\n", "ax2 = plt.subplot(gs2[:, :-1])\n", "ax3 = plt.subplot(gs2[:, -1], sharey=ax2)\n", "\n", " \n", "# Use only finite values\n", "mask = np.isfinite(x) & np.isfinite(y) & np.isfinite(xerr) & np.isfinite(yerr)\n", "x = np.copy(x[mask])\n", "y = np.copy(y[mask])\n", "xerr = np.copy(xerr[mask])\n", "yerr = np.copy(yerr[mask])\n", " \n", "# mag1 - mag2\n", "diff = y - x\n", "\n", "x_label, y_label = labels\n", " \n", "# If the difference is all NaN there is nothing to compare.\n", "if np.isnan(diff).all():\n", " print(\"No sources have both {} and {} values.\".format(\n", " x_label, y_label))\n", " print(\"\")\n", "\n", "# Set the minimum error to 10^-3\n", "np.clip(xerr, 1e-3, np.max(xerr), out=xerr)\n", "np.clip(yerr, 1e-3, np.max(yerr), out=yerr)\n", "\n", "# Median, Median absolute deviation and 1% and 99% percentiles\n", "diff_median = np.median(diff)\n", "diff_mad = np.median(np.abs(diff - diff_median))\n", "diff_1p, diff_99p = np.percentile(diff, [1., 99.])\n", "diff_25p, diff_75p = np.percentile(diff, [25., 75.])\n", " \n", " \n", "diff_label = \"GPC1 $g$ - Megacam $g$ (Total) [mag]\" # \"{} - {}\".format(y_label, x_label)\n", "\n", "print(\"{} ({} sources):\".format(diff_label, len(x)))\n", "print(\"- Median: {:.2f}\".format(diff_median))\n", "print(\"- Median Absolute Deviation: {:.2f}\".format(diff_mad))\n", "print(\"- 1% percentile: {}\".format(diff_1p))\n", "print(\"- 99% percentile: {}\".format(diff_99p))\n", "\n", " \n", "# Chi2 (Normalized difference) \n", "ichi2 = np.power(diff, 2) / (np.power(xerr, 2) + np.power(yerr, 2))\n", " \n", "# Use only non-null values of ichi2\n", "mask2 = ichi2 != 0.0\n", "diff, ichi2 = np.copy(diff[mask2]), np.copy(ichi2[mask2])\n", "x, y, xerr, yerr = np.copy(x[mask2]), np.copy(y[mask2]), np.copy(xerr[mask2]), np.copy(yerr[mask2])\n", "\n", "# Outliers (5sigma)\n", "log_ichi2_25p, log_ichi2_75p = np.percentile(np.log10(ichi2), [25., 75.])\n", "out_lim = log_ichi2_75p + 3.2*abs(log_ichi2_25p-log_ichi2_75p)\n", " \n", "outliers = np.log10(ichi2) > out_lim \n", "nb_outliers = len(x[outliers])\n", " \n", "print(\"Outliers separation: log(chi2) = {:.2f}\".format(out_lim))\n", "print(\"Number of outliers: {}\".format(nb_outliers))\n", "\n", "print(\"\")\n", "\n", "# Comparing mag\n", "ax1.scatter(x, y, marker='.', alpha=0.1, s=50, color='r')\n", "ax1.scatter(x[outliers], y[outliers], marker='.', c='b', alpha=0.3, s=50, label='Outliers ({})'.format(nb_outliers))\n", "min_val = np.min(np.r_[x, y])\n", "max_val = np.max(np.r_[x, y])\n", "ax1.autoscale(False)\n", "ax1.plot([min_val, max_val], [min_val, max_val], \"k:\")\n", "ax1.invert_xaxis()\n", "ax1.invert_yaxis()\n", "ax1.set_xlabel(x_label)\n", "ax1.set_ylabel(y_label)\n", "ax1.legend(loc='lower right', numpoints=1)\n", " \n", "\n", "# Chi2 vs Diff\n", "#ax1.set_yscale('log') # to place before scatter to avoid issues\n", "ax2.scatter(diff, np.log10(ichi2), marker='.', alpha=0.1, s=50, color='r')\n", "if nb_outliers != 0:\n", " ax2.scatter(diff[outliers], np.log10(ichi2[outliers]), marker='.', alpha=0.3, s=50, color='b',\\\n", " label='Outliers ({})'.format(nb_outliers))\n", "ax2.axhline(out_lim, color='grey', linestyle=':')\n", "ax2.set_xlabel(diff_label)\n", "ax2.set_ylabel('log(chi2)')\n", "ax2.legend(loc='lower right', numpoints=1)\n", " \n", "# Hist\n", "n, bins, patches = vz.hist(np.log10(ichi2), ax=ax3, bins='knuth', facecolor='red', lw = 2, alpha=0.5,\\\n", " orientation=\"horizontal\")\n", "if nb_outliers > 3:\n", " n, bins, patches = vz.hist(np.log10(ichi2[outliers]), ax=ax3, bins=bins, facecolor='b', lw = 2, alpha=0.7,\\\n", " orientation=\"horizontal\")\n", "ax3.axhline(out_lim, color='grey', linestyle=':')\n", "ax3.yaxis.set_tick_params(labelleft=False)\n", " \n", "# Save ex. fig\n", "\n", "\n", "plt.rc('font', family='serif', serif='Times')\n", "plt.rc('text') #, usetex=True)\n", "plt.rc('xtick', labelsize=12)\n", "plt.rc('ytick', labelsize=12)\n", "plt.rc('axes', labelsize=12)\n", "\n", "\n", "\n", "column_width_cm = 8.9\n", "width_cm = 2.5* column_width_cm\n", "hieght_cm = width_cm /2\n", "width_inches = width_cm/2.5\n", "hieght_inches = hieght_cm/2.5\n", "fig.set_size_inches(width_inches, hieght_inches)\n", "ax.set_xlim([11, 26])\n", "ax.set_ylim([11, 26])\n", "plt.savefig('./figs/mag_compare.pdf', bbox_inches='tight')\n", "plt.savefig('./figs/mag_compare.png', bbox_inches='tight')\n", "\n", "\n", "survey_label = ((diff_label.replace(\" \", \"_\")).replace(\"(\", \"\")).replace(\")\", \"\")\n", " \n", "plt.savefig(\"./figs/outliers.png\" , bbox_inches='tight')\n", "plt.savefig(\"./figs/outliers.pdf\" , bbox_inches='tight')\n", " " ] }, { "cell_type": "code", "execution_count": 70, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 70, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gs1" ] }, { "cell_type": "code", "execution_count": 71, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "GPC1 $g$ - Megacam $g$ (Total) [mag] (149397 sources):\n", "- Median: 0.08\n", "- Median Absolute Deviation: 0.15\n", "- 1% percentile: -3.053208236694336\n", "- 99% percentile: 0.909821548461915\n", "Outliers separation: log(chi2) = 5.44\n", "Number of outliers: 5600\n", "\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = master_catalogue['m_megacam_g']\n", "y = master_catalogue['m_gpc1_g']\n", "xerr = master_catalogue['merr_megacam_g']\n", "yerr = master_catalogue['merr_gpc1_g']\n", "labels=labels=(\"Megacam $g$ (Total) [mag]\", \"GPC1 $g$ (Total) [mag]\")\n", "savefig=True\n", " \n", "\n", " \n", "\n", " \n", "fig = plt.figure(figsize=(13, 6))\n", "\n", "gs1 = gridspec.GridSpec(1, 1)\n", "gs1.update(left=0.05, right=0.4, wspace=0.05)\n", "ax1 = plt.subplot(gs1[:, :])\n", "\n", "gs2 = gridspec.GridSpec(1, 3)\n", "gs2.update(left=0.47, right=0.98, hspace=0.05, wspace=0.05)\n", "ax2 = plt.subplot(gs2[:, :-1])\n", "ax3 = plt.subplot(gs2[:, -1], sharey=ax2)\n", "\n", " \n", "# Use only finite values\n", "mask = np.isfinite(x) & np.isfinite(y) & np.isfinite(xerr) & np.isfinite(yerr)\n", "x = np.copy(x[mask])\n", "y = np.copy(y[mask])\n", "xerr = np.copy(xerr[mask])\n", "yerr = np.copy(yerr[mask])\n", " \n", "# mag1 - mag2\n", "diff = y - x\n", "\n", "x_label, y_label = labels\n", " \n", "# If the difference is all NaN there is nothing to compare.\n", "if np.isnan(diff).all():\n", " print(\"No sources have both {} and {} values.\".format(\n", " x_label, y_label))\n", " print(\"\")\n", "\n", "# Set the minimum error to 10^-3\n", "np.clip(xerr, 1e-3, np.max(xerr), out=xerr)\n", "np.clip(yerr, 1e-3, np.max(yerr), out=yerr)\n", "\n", "# Median, Median absolute deviation and 1% and 99% percentiles\n", "diff_median = np.median(diff)\n", "diff_mad = np.median(np.abs(diff - diff_median))\n", "diff_1p, diff_99p = np.percentile(diff, [1., 99.])\n", "diff_25p, diff_75p = np.percentile(diff, [25., 75.])\n", " \n", " \n", "diff_label = \"GPC1 $g$ - Megacam $g$ (Total) [mag]\" # \"{} - {}\".format(y_label, x_label)\n", "\n", "print(\"{} ({} sources):\".format(diff_label, len(x)))\n", "print(\"- Median: {:.2f}\".format(diff_median))\n", "print(\"- Median Absolute Deviation: {:.2f}\".format(diff_mad))\n", "print(\"- 1% percentile: {}\".format(diff_1p))\n", "print(\"- 99% percentile: {}\".format(diff_99p))\n", "\n", " \n", "# Chi2 (Normalized difference) \n", "ichi2 = np.power(diff, 2) / (np.power(xerr, 2) + np.power(yerr, 2))\n", " \n", "# Use only non-null values of ichi2\n", "mask2 = ichi2 != 0.0\n", "diff, ichi2 = np.copy(diff[mask2]), np.copy(ichi2[mask2])\n", "x, y, xerr, yerr = np.copy(x[mask2]), np.copy(y[mask2]), np.copy(xerr[mask2]), np.copy(yerr[mask2])\n", "\n", "# Outliers (5sigma)\n", "log_ichi2_25p, log_ichi2_75p = np.percentile(np.log10(ichi2), [25., 75.])\n", "out_lim = log_ichi2_75p + 3.2*abs(log_ichi2_25p-log_ichi2_75p)\n", " \n", "outliers = np.log10(ichi2) > out_lim \n", "nb_outliers = len(x[outliers])\n", " \n", "print(\"Outliers separation: log(chi2) = {:.2f}\".format(out_lim))\n", "print(\"Number of outliers: {}\".format(nb_outliers))\n", "\n", "print(\"\")\n", "\n", "# Comparing mag\n", "ax1.scatter(x, y, marker='.', alpha=0.1, s=50, color='r', rasterized=True)\n", "ax1.scatter(x[outliers], y[outliers], marker='.', c='b', \n", " alpha=0.3, s=50, label='Outliers ({})'.format(nb_outliers), rasterized=True)\n", "min_val = np.min(np.r_[x, y])\n", "max_val = np.max(np.r_[x, y])\n", "ax1.autoscale(False)\n", "ax1.plot([min_val, max_val], [min_val, max_val], \"k:\")\n", "ax1.invert_xaxis()\n", "ax1.invert_yaxis()\n", "ax1.set_xlabel(x_label)\n", "ax1.set_ylabel(y_label)\n", "ax1.legend(loc='lower right', numpoints=1)\n", " \n", "\n", "# Chi2 vs Diff\n", "#ax1.set_yscale('log') # to place before scatter to avoid issues\n", "ax2.scatter(diff, np.log10(ichi2), marker='.', alpha=0.1, s=50, color='r', rasterized=True)\n", "if nb_outliers != 0:\n", " ax2.scatter(diff[outliers], np.log10(ichi2[outliers]), marker='.', alpha=0.3, s=50, color='b',\\\n", " label='Outliers ({})'.format(nb_outliers), rasterized=True)\n", "ax2.axhline(out_lim, color='grey', linestyle=':')\n", "ax2.set_xlabel(diff_label)\n", "ax2.set_ylabel('log(chi2)')\n", "ax2.legend(loc='lower right', numpoints=1)\n", " \n", "# Hist\n", "n, bins, patches = vz.hist(np.log10(ichi2), ax=ax3, bins='knuth', facecolor='red', lw = 2, alpha=0.5,\\\n", " orientation=\"horizontal\")\n", "if nb_outliers > 3:\n", " n, bins, patches = vz.hist(np.log10(ichi2[outliers]), ax=ax3, bins=bins, facecolor='b', lw = 2, alpha=0.7,\\\n", " orientation=\"horizontal\")\n", "ax3.axhline(out_lim, color='grey', linestyle=':')\n", "ax3.yaxis.set_tick_params(labelleft=False)\n", " \n", "# Save ex. fig\n", "\n", "\n", "plt.rc('font', family='serif', serif='Times')\n", "plt.rc('text') #, usetex=True)\n", "plt.rc('xtick', labelsize=12)\n", "plt.rc('ytick', labelsize=12)\n", "plt.rc('axes', labelsize=12)\n", "\n", "\n", "\n", "column_width_cm = 8.9\n", "width_cm = 2.5* column_width_cm\n", "hieght_cm = width_cm /2\n", "width_inches = width_cm/2.5\n", "hieght_inches = hieght_cm/2.5\n", "fig.set_size_inches(width_inches, hieght_inches)\n", "ax.set_xlim([11, 26])\n", "ax.set_ylim([11, 26])\n", "plt.savefig('./figs/mag_compare.pdf', bbox_inches='tight')\n", "plt.savefig('./figs/mag_compare.png', bbox_inches='tight')\n", "\n", "\n", "survey_label = ((diff_label.replace(\" \", \"_\")).replace(\"(\", \"\")).replace(\")\", \"\")\n", " \n", "plt.savefig(\"./figs/outliers_raster.png\" , bbox_inches='tight')\n", "plt.savefig(\"./figs/outliers_raster.pdf\" , bbox_inches='tight')" ] }, { "cell_type": "code", "execution_count": 72, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Total: 4026292\n", "flag_optnir_det7: 283184\n", "flag_optnir_det3or7: 463203\n", "flag_optnir_det3or7andi1: 348961\n" ] } ], "source": [ "print(\"Total: {}\".format(len(master_catalogue)))\n", "print(\"flag_optnir_det7: {}\".format(len(master_catalogue[master_catalogue[\"flag_optnir_det\"] == 7])))\n", "\n", "det37mask = ((master_catalogue[\"flag_optnir_det\"] == 3)\n", " | (master_catalogue[\"flag_optnir_det\"] == 7))\n", "\n", "print(\"flag_optnir_det3or7: {}\".format(len(master_catalogue[det37mask])))\n", " \n", "de37i1mask = (\n", " (( master_catalogue[\"flag_optnir_det\"] == 3 )\n", " | (master_catalogue[\"flag_optnir_det\"] == 7))\n", " & ~np.isnan(master_catalogue[\"f_ap_irac_i1\"])\n", " )\n", "print(\"flag_optnir_det3or7andi1: {}\".format(len(master_catalogue[de37i1mask])))" ] }, { "cell_type": "code", "execution_count": 73, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "flag_obsnir_det3or7: 3431269\n" ] } ], "source": [ "obs37mask = ((master_catalogue[\"flag_optnir_obs\"] == 3)\n", " | (master_catalogue[\"flag_optnir_obs\"] == 7))\n", "print(\"flag_obsnir_det3or7: {}\".format(len(master_catalogue[obs37mask])))" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "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": "3.6.8" } }, "nbformat": 4, "nbformat_minor": 1 }