{ "cells": [ { "cell_type": "markdown", "id": "dce601d9-4637-47f1-b7af-c0f0dbd2e5c4", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "# Working with data from simulations\n", "\n", "In cosmological simulations it is very typical to have massive particles that represent a single stellar population with a given age and metallicity. In order to compare predictions from these simulations with observational data it is ofter required to convert from these quantities to flux, magnitudes or surface brightness. In this example, we explore how to do this with milespy with an example simulated galaxy." ] }, { "cell_type": "code", "execution_count": 1, "id": "c7341ac7-045a-41a9-a240-3e3653cc22bf", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [], "source": [ "from astropy import units as u\n", "from astropy.visualization import quantity_support\n", "quantity_support()\n", "import matplotlib.pyplot as plt\n", "from matplotlib.colors import LogNorm\n", "import numpy as np" ] }, { "cell_type": "markdown", "id": "913e46be-4d70-407c-8955-a727816416f0", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "We load the data from a simple data file part of [pynbody](https://pynbody.readthedocs.io/latest/) test suite. It contains a simulation of a galaxy performed with the GASOLINE code." ] }, { "cell_type": "code", "execution_count": 2, "id": "668882dd-6eee-452e-8e32-eb5133df412d", "metadata": { "editable": true, "scrolled": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [], "source": [ "import requests \n", "import os\n", "import tarfile\n", "\n", "url = \"https://zenodo.org/records/12687409/files/gasoline.tar.gz\"\n", "\n", "if not os.path.exists(\"gasoline_ahf\"):\n", " with requests.get(url, stream=True) as rx, tarfile.open(fileobj=rx.raw, mode=\"r:gz\") as tarobj: \n", " tarobj.extractall() \n" ] }, { "cell_type": "markdown", "id": "07eb8d8c-75e8-4e15-982a-98b5984c5c1e", "metadata": {}, "source": [ "The data is loaded with pynbody and converted to astropy Quantity arrays." ] }, { "cell_type": "code", "execution_count": 3, "id": "c112260b-92ad-49a8-aff0-15bc5604b535", "metadata": { "editable": true, "scrolled": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "pynbody.halo : Unable to load AHF substructure file; continuing without. To expose the underlying problem as an exception, pass ignore_missing_substructure=False to the AHFCatalogue constructor\n", "/tmp/ipykernel_891727/1505409435.py:15: RuntimeWarning: divide by zero encountered in log10\n", " met = np.log10(np.array(s.s['metals'])/0.0134) << u.dex\n" ] } ], "source": [ "import pynbody\n", "s = pynbody.load('gasoline_ahf/g15784.lr.01024')\n", "h = s.halos()\n", "s.physical_units()\n", "pynbody.analysis.center(h[0])\n", "pynbody.analysis.sideon(h[0])\n", "\n", "x = np.array(s.s['x'].in_units('kpc')) << u.kpc\n", "y = np.array(s.s['y'].in_units('kpc')) << u.kpc\n", "z = np.array(s.s['z'].in_units('kpc')) << u.kpc\n", "vx = np.array(s.s['vx'].in_units('km s**-1')) << (u.km/u.s)\n", "vy = np.array(s.s['vy'].in_units('km s**-1')) << (u.km/u.s)\n", "vz = np.array(s.s['vz'].in_units('km s**-1')) << (u.km/u.s)\n", "mass = np.array(s.s['mass'].in_units('Msol')) << u.Msun\n", "met = np.log10(np.array(s.s['metals'])/0.0134) << u.dex\n", "age = np.array(s.s['age'].in_units('Gyr')) << u.Gyr" ] }, { "cell_type": "markdown", "id": "02a42aeb-873f-4251-8a34-b1b83a1c52aa", "metadata": {}, "source": [ "Then, we mask the data that is not of interest and we clip the age and metallicities, as the library does not contain SSP with ages < 0.6 Gyr and thus will throw errors." ] }, { "cell_type": "code", "execution_count": 4, "id": "d92f8351-a6e9-4795-a258-bd1b50d32bac", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "m = np.sqrt(x**2+y**2+z**2) < 20*u.kpc\n", "x = x[m]\n", "y = y[m]\n", "z = z[m]\n", "vz = vz[m]\n", "mass = mass[m]\n", "met = met[m]\n", "age = age[m]\n", "np.clip(met, a_min=-2.32*u.dex, a_max=0.22*u.dex, out=met)\n", "np.clip(age, a_min=0.0631*u.Gyr, a_max=14*u.Gyr, out=age)\n", "\n", "plt.plot(x,y, 'k,', alpha=0.1)\n", "plt.gca().set_aspect('equal')" ] }, { "cell_type": "markdown", "id": "2e7b3437-7641-46cb-824d-2e3696e706a5", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "For this exercise we will use the EMILES SSP library" ] }, { "cell_type": "code", "execution_count": 5, "id": "16d7b8f6-03a6-4410-8991-35afff205fec", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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hoZgzZw6SkpLq1MfHx6OsrAxbtmyRto0YMQJRUVFIS0uDEAIhISGYP38+nnjiCQCAyWSCTqdDeno6Jk+ebNNeeno65s2bh5KSkib7+vjjj+PEiRPYvn17sz6b2WyGVquFyWSCRqNp1jEtEZa0tc62M8tiW9zOqqzTeCnzm3r33Uh7RERE7VlLfn677EhWVVUVcnNzYTAYpG1yuRwGgwHZ2dn1HpOdnW1TDwAxMTFSfX5+PoxGo02NVquFXq9vsM3mMplM6Ny5c4P7KysrYTabbV5ERETkvlw2ZBUVFcFisUCn09ls1+l0MBqN9R5jNBobrb/2a0vabI49e/Zg48aNmDlzZoM1qamp0Gq10is0NPSGz9cc/0u8w6HtExERUeNcNmS1F3l5eZg4cSKWLFmCe+65p8G65ORkmEwm6XX27FmH9qtnoB8+emykQ8/hwneaiYiInM5lQ1ZAQAAUCgUKCwttthcWFiIoKKjeY4KCghqtv/ZrS9pszPHjxzF27FjMnDkTixYtarRWpVJBo9HYvBzNT+XR6jYay1Hl1VzGgYiIqCEuG7KUSiWGDBmCrKwsaZvVakVWVhaio6PrPSY6OtqmHgAyMzOl+vDwcAQFBdnUmM1m5OTkNNhmQ44dO4Y777wT06dPx7PPPtuiY52loUfkEBERkf21fqjDgRITEzF9+nQMHToUw4cPx8qVK1FWVoaEhAQAwLRp09CtWzekpqYCAObOnYvRo0fjxRdfRGxsLDZs2ID9+/dj7dq1AACZTIZ58+Zh6dKliIiIQHh4OBYvXoyQkBDExcVJ5y0oKEBxcTEKCgpgsVhw6NAhAEDPnj3h6+uLvLw83HXXXYiJiUFiYqI0n0uhUKBr165td4FaiBGLiIio7bh0yIqPj8elS5eQkpICo9GIqKgoZGRkSBPXCwoKIJf/Mhg3cuRIrF+/HosWLcLChQsRERGBzZs3o3///lLNggULUFZWhpkzZ6KkpASjRo1CRkYG1Gq1VJOSkoJ169ZJ7wcPHgwA2LFjB8aMGYMPP/wQly5dwrvvvot3331XquvRowfOnDnjqMvhFN9eutLgPk7JIiIiaphLr5Plzhy9ThYAfFNYinv+uVt6/91zE6CQy1rURn3rbV1z7O8x8LHDvC8iIqL2wi3WySL7Y54mIiJqOwxZbiysi49D27cwtBERETWIIcuNKT1s/3jtHYm+/u4nO7dIRETkPhiy6IZV1lid3QUiIiKXxZDVgdj77h5vFhIRETWMIYtuGCfSExERNYwhqwMRdh57YsYiIiJqGEMW3TArUxYREVGDGLLcXL+QXxZK23/msl3btvBZiERERA1iyHJzD+i7S7+f+kaOXdsuraixa3tERETuhCHLzcllLXuMTkuoPRUOa5uIiKi9Y8hyc46cNrXw46Morah23AmIiIjaMYYsN+fAgSwAwPwPDjv2BERERO0UQxa1yn+PFzq7C0RERC6JIYuIiIjIARiy3FxbLGXFld+JiIjqYsiiVvvfiYvO7gIREZHLYciiVjt01r6LnBIREbkDhiw317+bpumiVuLdQiIioroYstxcZJDjQ9am3HMOPwcREVF7w5Dl5hy9ThYAXCqtdPxJiIiI2hmGLCIiIiIHYMhyc20wkEVERET1YMhyc7K2uF9IREREdTBkuTlGLCIiIudgyCIiIiJyAIYsN8e7hURERM7BkOXmfj0nq7Si2kk9ISIi6lgYsjqYWe8ecHYXiIiIOgSGrA7my2+LHNJu7g98fiEREdH1GLLILvadKXZ2F4iIiFyKy4esNWvWICwsDGq1Gnq9Hnv37m20ftOmTYiMjIRarcaAAQOwbds2m/1CCKSkpCA4OBheXl4wGAw4ffq0Tc2zzz6LkSNHwtvbG/7+/vWep6CgALGxsfD29kZgYCCefPJJ1NTUtOqztmenC684uwtEREQuxaVD1saNG5GYmIglS5bgwIEDGDRoEGJiYnDx4sV66/fs2YMpU6ZgxowZOHjwIOLi4hAXF4e8vDypZvny5Vi1ahXS0tKQk5MDHx8fxMTEoKKiQqqpqqrCpEmTMGvWrHrPY7FYEBsbi6qqKuzZswfr1q1Deno6UlJS7HsB2pF/H+BDoomIiK4nE0IIZ3eiIXq9HsOGDcPq1asBAFarFaGhoZgzZw6SkpLq1MfHx6OsrAxbtmyRto0YMQJRUVFIS0uDEAIhISGYP38+nnjiCQCAyWSCTqdDeno6Jk+ebNNeeno65s2bh5KSEpvtn332GX7zm9/g/Pnz0Ol0AIC0tDT87W9/w6VLl6BUKpv8bGazGVqtFiaTCRqNpkXXpaXCkrbavD+zLPaGj21MS9olIiJqj1ry89tlR7KqqqqQm5sLg8EgbZPL5TAYDMjOzq73mOzsbJt6AIiJiZHq8/PzYTQabWq0Wi30en2DbTZ0ngEDBkgB69p5zGYzjh07Vu8xlZWVMJvNNi8iIiJyXy4bsoqKimCxWGyCDADodDoYjcZ6jzEajY3WX/u1JW225DzXn+PXUlNTodVqpVdoaGizz0dERETtj8uGLHeTnJwMk8kkvc6ePevsLhEREZEDuWzICggIgEKhQGFhoc32wsJCBAUF1XtMUFBQo/XXfm1Jmy05z/Xn+DWVSgWNRmPzcjcWq8tO7yMiImpzLhuylEolhgwZgqysLGmb1WpFVlYWoqOj6z0mOjraph4AMjMzpfrw8HAEBQXZ1JjNZuTk5DTYZkPnOXr0qM23HDMzM6HRaNC3b99mt+NuLpVWOrsLRERELsPD2R1oTGJiIqZPn46hQ4di+PDhWLlyJcrKypCQkAAAmDZtGrp164bU1FQAwNy5czF69Gi8+OKLiI2NxYYNG7B//36sXbsWQO1z/ObNm4elS5ciIiIC4eHhWLx4MUJCQhAXFyedt6CgAMXFxSgoKIDFYsGhQ4cAAD179oSvry/uuece9O3bFw899BCWL18Oo9GIRYsW4fHHH4dKpWrTa+RKvjh9CZOGcq4ZERER4OIhKz4+HpcuXUJKSgqMRiOioqKQkZEhTTIvKCiAXP7LYNzIkSOxfv16LFq0CAsXLkRERAQ2b96M/v37SzULFixAWVkZZs6ciZKSEowaNQoZGRlQq9VSTUpKCtatWye9Hzx4MABgx44dGDNmDBQKBbZs2YJZs2YhOjoaPj4+mD59Ov7xj384+pK4tA9zzzFkERER/cxu62Tl5ORAr9fbo6kOwR3XyRoe1hkfPNr8265ERETtjVPWyZo0aZK9mqJ2ai+fX0hERCRp0e3C+++/v97tQggUF/MHLBEREdE1LQpZ//vf//Cvf/0Lvr6+NtuFENi9e7ddO0ZERETUnrUoZI0ZMwZ+fn6444476uwbOHCg3TpFRERE1N61KGR99NFHDe7LzMxsdWeIiIiI3EWrJr4353l/ZWVlOHjwIIqKilpzKiIiIqJ2pVUh65577ml0/3PPPYff//73+Oijj/DYY4/h4YcfRnl5eWtOSTdgzl09nd0FIiKiDqdVi5E2tsTW22+/jeLiYnz++efStk2bNmHevHl47bXXWnNaaqFJQ0LxyvZv2+RclTUWqDwUbXIuIiIiV9aqkSyZTNbgvo0bNyIpKQkA8PDDD6OwsBCTJk3Cvn37WnNKugEW+6w3Wy8fpW2gKq2ocdi5iIiI2hOHPSDa09MTVVVVAIDbbrsN3t7eAGof8kxtS+3puOeA5/09xub9zlOXHHYuIiKi9sRhP33/9Kc/YcGCBbBYLJgxYwb8/Pzwz3/+E+PHj3fUKakBwVqvOtuKrlSiotrS6rZ/PZpZVsmRLCIiIqCVc7IUiobn3kycOBFlZWUYO3YsevTogQsXLmDkyJFYunRpa05JdnDBVI7o1O0I9FNh71OGVrd3UycvnLtc+4UGR46aERERtSetClkHDx5sdP8DDzyABx54AMXFxejUqVOjc7io7Xx5unY5jYullXZpz8vzl7Cd/d1PiB/W3S7tEhERtWdtMuzQuXNnBiwX8uSHR+zankL+y5/t5kPn7do2ERFRe9WqkayHH364WXVvvfVWa05DLu6OXl1x0lgqvb9YWoFAP7UTe0REROR8rRrJSk9Px44dO1BSUoLLly83+CL3lnh3L5v3s99r/DYyERFRR9CqkaxZs2bh/fffR35+PhISEvDggw+ic+fO9uobtRNqT9svQOw9U+yknhAREbmOVo1krVmzBhcuXMCCBQvw6aefIjQ0FPfffz8+//zzRleDJyIiInJ3rZ74rlKpMGXKFGRmZuL48ePo168fHnvsMYSFheHKlSv26CMRERFRu2PXbxfK5XLIZDIIIWCxtH6hS3I8eyxISkRERHW1OmRVVlbi/fffx913341evXrh6NGjWL16NQoKCuDr62uPPpIDTV77tbO7QERE5JZaNfH9sccew4YNGxAaGoqHH34Y77//PgICAuzVN2oDh86WoLisCp19lM7uChERkVtpVchKS0tD9+7dcfPNN2PXrl3YtWtXvXUfffRRa05DDjYpbQ+y5o9xdjeIiIjcSqtC1rRp07iSuxv47lIZPj9mREy/IGd3hYiIyG20KmSlp6fbqRvkbC//77RdQ5YQggGciIg6tDZ5diG5vuMXzHZd22zjvrN2a4uIiKg9YsjqIAJ8m57Y/sLnp2zeXy6ruuHzJX109IaPJSIicgcMWR3EzDtubrLmra/ybd6byqsd1R0iIiK3Z7eQlZOTY6+myAF8VZ5N1lRUW23e88FIREREN85uIWvSpEn2aoocQH4Dc9A5bZ2IiOjGtejbhffff3+924UQKC4utkuHyDH4RT8iIqK21aKRrP/973+YPn06Hn/88TovHx8fh3RwzZo1CAsLg1qthl6vx969exut37RpEyIjI6FWqzFgwABs27bNZr8QAikpKQgODoaXlxcMBgNOnz5tU1NcXIypU6dCo9HA398fM2bMqPOw688//xwjRoyAn58funbtivvuuw9nzpyxy2d2BFkzx6XKq/gsQyIiIntoUcgaM2YM/Pz8MHr0aJvXmDFjMHDgQLt3buPGjUhMTMSSJUtw4MABDBo0CDExMbh48WK99Xv27MGUKVMwY8YMHDx4EHFxcYiLi0NeXp5Us3z5cqxatQppaWnIycmBj48PYmJiUFFRIdVMnToVx44dQ2ZmJrZs2YLdu3dj5syZ0v78/HxMnDgRd911Fw4dOoTPP/8cRUVF+P3vf2/3a2A3zRzJWpd9xm6nrLFYmy4iIiJyUzJhz8WR7Eyv12PYsGFYvXo1AMBqtSI0NBRz5sxBUlJSnfr4+HiUlZVhy5Yt0rYRI0YgKioKaWlpEEIgJCQE8+fPxxNPPAEAMJlM0Ol0SE9Px+TJk3HixAn07dsX+/btw9ChQwEAGRkZmDBhAs6dO4eQkBB8+OGHmDJlCiorKyGX1+bUTz/9FBMnTkRlZSU8PZueZG42m6HVamEymaDRaFp9rZqyaf9ZPPnhkSbr/jDkJqyYNAgAcKaoDGNW7Gy0/syyWABAWNLWOvuWxvXHgyN6tLyzRERELqolP79bNfHdaDS25vBGVVVVITc3FwaDQdoml8thMBiQnZ1d7zHZ2dk29QAQExMj1efn58NoNNrUaLVa6PV6qSY7Oxv+/v5SwAIAg8EAuVwufYNyyJAhkMvlePvtt2GxWGAymfCvf/0LBoOhwYBVWVkJs9ls82pLzV193Z6jTyn/yWu6iIiIyE21KmTdc8899upHHUVFRbBYLNDpdDbbdTpdg+HOaDQ2Wn/t16ZqAgMDbfZ7eHigc+fOUk14eDj++9//YuHChVCpVPD398e5c+fwwQcfNPh5UlNTodVqpVdoaGhTl8Cumvvtws2Hzt9Q+/VlOKvLjpESERE5XqtClgvfaXQoo9GIRx55BNOnT8e+ffuwa9cuKJVK/OEPf2jwmiQnJ8NkMkmvs2fb9rEz/HYhERFR22rVA6Id+QDggIAAKBQKFBYW2mwvLCxEUFD9DzIOCgpqtP7ar4WFhQgODrapiYqKkmp+PbG+pqYGxcXF0vFr1qyBVqvF8uXLpZp3330XoaGhyMnJwYgRI+r0TaVSQaVSNeejO4TaQ9Hs2lPGUvQO8mtR+zJw8VIiIqLruexjdZRKJYYMGYKsrCxpm9VqRVZWFqKjo+s9Jjo62qYeADIzM6X68PBwBAUF2dSYzWbk5ORINdHR0SgpKUFubq5Us337dlitVuj1egDA1atXpQnv1ygUCqmPruj2Xl2bXRuzcneL52Y5MnATERG1Ry4bsgAgMTERr7/+OtatW4cTJ05g1qxZKCsrQ0JCAgBg2rRpSE5Olurnzp2LjIwMvPjiizh58iSefvpp7N+/H7NnzwZQGwTmzZuHpUuX4pNPPsHRo0cxbdo0hISEIC4uDgDQp08fjBs3Do888gj27t2Lr776CrNnz8bkyZMREhICAIiNjcW+ffvwj3/8A6dPn8aBAweQkJCAHj16YPDgwW17kZrJo4VLvte0cEJVQ60Xt+Ih00RERO1Zq0LWtdEbR4mPj8eKFSuQkpKCqKgoHDp0CBkZGdLE9YKCAly4cEGqHzlyJNavX4+1a9di0KBB+PDDD7F582b0799fqlmwYAHmzJmDmTNnYtiwYbhy5QoyMjKgVqulmvfeew+RkZEYO3YsJkyYgFGjRmHt2rXS/rvuugvr16/H5s2bMXjwYIwbNw4qlQoZGRnw8vJy6DW5US0daLIK0aLbfw21f+szmS07MRERkZtw6XWy3Flbr5NVVWNFr0WfNbv+8JJ7UFxWhTubuU5WxFPbUG2p/6/StRoiIqL2rs3WyWqO61dbJ+dp6QOiTVer7Xbui+aKpouIiIjcjENCVmlpKdauXYvhw4dj0KBBjjgFtZC8hfcLtxw939wn8QAAGhsPzTxR2PBOIiIiN9WikHX27FlUVzc8wrF7925Mnz4dwcHBWLFiBe666y58/fXXre4ktV5L52SdLrzSojlZjdVWVLvmNy6JiIgcqdkha/ny5fj888+lb/ZdYzQasWzZMkRERGDSpEnQaDSorKzE5s2bsWzZMgwbNszunaaWa+kSCx8f/NFui82uzPzGLu0QERG1J80OWb1790ZBQYHN42Duvfde9O7dG0eOHMHKlStx/vx5vPLKKw7pKLW9z4/Z5zZfaWWNXdohIiJqT5q94vvEiRMxceJEm22fffYZ/vKXv2DWrFmIiIiwe+eo7Sz7/QAkfXTUZtvLWc0fgeKXVImIiGy1auL7l19+idLSUgwZMgR6vR6rV69GUVGRvfpGbWhw9051tnEuFRER0Y1rVcgaMWIEXn/9dVy4cAF//vOfsWHDBoSEhMBqtSIzMxOlpaX26ic5WO8gP9w7KOSGj+c4FhERkS27LOHg4+ODhx9+GF9++SWOHj2K+fPnY9myZQgMDMRvf/tbe5yC2sDK+KgbPrapu4W8nUhERB2N3dfJ6t27N5YvX45z587h/ffft3fz5ECKlq5Y2gItfBQiERFRu+ewFd8VCgXi4uLwySefOOoUZCexA4Mdfo5vL15x+DmIiIhcicMfq0Ouz8vTsQ/6BoD0PfkOPwcREZErYcgiG3//bT+HtPv+3rMOaZeIiMhVOSxklZWV4eDBg1zSoZ15aEQPZ3eBiIjILTR7MdKWeO6557Br1y4MHz4cp06dgq+vL9asWQMvLy9HnI7sSO7Aye+VNRaoPBx/a5KIiMgV2D1kvf322yguLsbnn38ubdu0aRPmzZuH1157zd6no3akqsbKkEVERB2G3W8Xbty4EUlJSQCAhx9+GIWFhZg0aRL27dtn71ORnfx67GrmHTc75Dz2ehYiERFRe2D3kOXp6YmqqioAwG233QZvb28AgNXKR7S0F3PHtu45lEpF/X+tnth0uFXtEhERtSd2D1l/+tOfsGDBAlgsFsyYMQN+fn745z//ifHjx9v7VOQgPqrW3UX+bN7tmDws1E69ISIiap/sPidr4sSJKCsrw9ixY9GjRw9cuHABI0eOxNKlS+19KnJRt3T1xbL7BuKxMT1xxws7nN0dIiIip3DIEg4PPPAAdu7ciWeeeQbdu3fH008/DYWCE55dRVc/Fc4si3X4ebp38a6zraLa4vDzEhERuQKHLkZ6+fJlvP322448Bbk4nUZl8/6Fz085qSdERERtiyu+k0PtSRpr8/7NL/l4HSIi6hgYssihFPUsbmqxCif0hIiIqG0xZHVAvXS+Tj3/hn0FTj0/ERFRW2jVtwt///vfN7q/pKSkNc2TnW2ZMwr/yv4Biff0cmo/nvo4D1P1fEYiERG5t1aFLK1W2+T+adOmteYUZEf9u2nx/B8G1tkuq+dxhRGBvjh98Ypdzpv24BA8+m6uXdoiIiJqL1oVsvjNQff17p/00D+XZZe2hoZ1sks7RERE7QnnZHVgQ3vUhp/4Yd3r7NNp1HY7j5UT3YmIqAOy+4rv1H5smDkCP5VV2TVQ1cciGLKIiKjjcfmRrDVr1iAsLAxqtRp6vR579+5ttH7Tpk2IjIyEWq3GgAEDsG3bNpv9QgikpKQgODgYXl5eMBgMOH36tE1NcXExpk6dCo1GA39/f8yYMQNXrlyp086KFSvQq1cvqFQqdOvWDc8++6x9PnQb8VDIGw1Yt3T1sct5guo5h2DwIiIiN+fSIWvjxo1ITEzEkiVLcODAAQwaNAgxMTG4ePFivfV79uzBlClTMGPGDBw8eBBxcXGIi4tDXl6eVLN8+XKsWrUKaWlpyMnJgY+PD2JiYlBRUSHVTJ06FceOHUNmZia2bNmC3bt3Y+bMmTbnmjt3Lt544w2sWLECJ0+exCeffILhw4c75kI4iby+GfE3QCaT1XmMD9fKIiIidycTLjykoNfrMWzYMKxevRoAYLVaERoaijlz5iApKalOfXx8PMrKyrBlyxZp24gRIxAVFYW0tDQIIRASEoL58+fjiSeeAACYTCbodDqkp6dj8uTJOHHiBPr27Yt9+/Zh6NChAICMjAxMmDAB586dQ0hICE6cOIGBAwciLy8PvXv3vqHPZjabodVqYTKZoNFobqgNR4v5526cKixttOZaeApL2lpn269dXzMxKgQvTx5sh14SERG1nZb8/HbZkayqqirk5ubCYDBI2+RyOQwGA7Kzs+s9Jjs726YeAGJiYqT6/Px8GI1GmxqtVgu9Xi/VZGdnw9/fXwpYAGAwGCCXy5GTkwMA+PTTT3HzzTdjy5YtCA8PR1hYGP70pz+huLjYPh/eRdhpIEvyZMwvgfQ/h87bt3EiIiIX47Ihq6ioCBaLBTqdzma7TqeD0Wis9xij0dho/bVfm6oJDAy02e/h4YHOnTtLNd9//z1++OEHbNq0Ce+88w7S09ORm5uLP/zhDw1+nsrKSpjNZpuXq5PZOWVFBvnZvH9u2wm7tk9ERORKXDZkuTKr1YrKykq88847uP322zFmzBi8+eab2LFjB06dOlXvMampqdBqtdIrNDS0jXvdcvU8drBV7oq0Da9rd39v3xMQERG5EJcNWQEBAVAoFCgsLLTZXlhYiKCgoHqPCQoKarT+2q9N1fx6Yn1NTQ2Ki4ulmuDgYHh4eKBXr18eT9OnTx8AQEFB/c/lS05Ohslkkl5nz55t+MO7CHtNfL/G3iNjRERErsxlQ5ZSqcSQIUOQlfXLquNWqxVZWVmIjo6u95jo6GibegDIzMyU6sPDwxEUFGRTYzabkZOTI9VER0ejpKQEubm/PAZm+/btsFqt0Ov1AIDbbrsNNTU1+O6776Sab775BgDQo0f9z+RTqVTQaDQ2L1fXFpko6d9HHH8SIiIiJ3DZkAUAiYmJeP3117Fu3TqcOHECs2bNQllZGRISEgAA06ZNQ3JyslQ/d+5cZGRk4MUXX8TJkyfx9NNPY//+/Zg9ezaA2pGUefPmYenSpfjkk09w9OhRTJs2DSEhIYiLiwNQOyI1btw4PPLII9i7dy+++uorzJ49G5MnT0ZISAiA2onwt956Kx5++GEcPHgQubm5+POf/4y7777bZnSrvRvVM8Dh59iwz/VH9IiIiG6ES6/4Hh8fj0uXLiElJQVGoxFRUVHIyMiQJq4XFBRALv8lJ44cORLr16/HokWLsHDhQkRERGDz5s3o37+/VLNgwQKUlZVh5syZKCkpwahRo5CRkQG1+pcFM9977z3Mnj0bY8eOhVwux3333YdVq1ZJ++VyOT799FPMmTMHd9xxB3x8fDB+/Hi8+OKLbXBV2s6Abo0/AJyIiIga5tLrZLmz9rBO1mdHL2DWewcarWnJOlm/rmtOPRERkStxi3WyiIiIiNozhixqEL8MSEREdOMYsqgRTFlEREQ3iiGLGtRWI1nnLl9tmxMRERG1IYYscrpRz+8Av39BRETuhiGLXEJ48jZnd4GIiMiuGLKoQW09I2v3N5fa+IxERESOw5BFLmPaW3ud3QUiIiK7YciiBvXo4uPsLhAREbVbDFnUoB5dvJ3dBSIionaLIYucInl8pLO7QERE5FAMWdSmdBoVAOC3USH427i6QetsMdfMIiIi9+Dh7A5Qx7LryTtxpbIGAb4qzBpzC+7oFYDYVV9K+4vLqhDambcpiYio/WPIojal9lRA7amQ3vcL0drst3BRUiIichO8XUgu5a8bDzm7C0RERHbBkEUNUira5q9Hwm1h0u9/+Omq9Iidl/57Cu/l/ACLVWD7yUJcKq1sk/4QERHZA28XUoPk8rZZ813lobB5f7a4HHe8sEN6X11jxdOfHgcAfPfcBCjaqF9EREStwZEscrpfD5iNWbHD5v2and9Jv0/fc6YNekRERNR6DFnUYgG+Kru2J5fZjkxZfzX3/frbhM9sOY6vv//JrucnIiJyBIYsapFZY25B3xCNXduUyVp2+2/y2q/ten4iIiJHYMgip/NRKpouIiIiamcYssjpHhzRw9ldICIisjuGLGrUo6Nvcfg5fFT8kisREbkfhixq1PVrWBEREVHzMWRRo3QaNZbc29dmmyusUiX4+B0iInJxDFnUpITbwtv0fG/9cSi+e25CozWWX6/zQERE5GIYsqjFbu3eyWFta708cVekDk0t6l7DkEVERC6OM46pxR4dczP81B64o1dXu7d9bcms+tbO2vvUWAx/NgsAR7KIiMj1MWRRi6k8FHh4VNveQgSATt5K6fccySIiIlfH24XkUhqbz664bnSLI1lEROTqGLKo3ZBfN1FrwYdHnNgTIiKiprl8yFqzZg3CwsKgVquh1+uxd+/eRus3bdqEyMhIqNVqDBgwANu2bbPZL4RASkoKgoOD4eXlBYPBgNOnT9vUFBcXY+rUqdBoNPD398eMGTNw5cqVes/37bffws/PD/7+/q36nNQy/ztRaPM+v6iMo1tERORSXDpkbdy4EYmJiViyZAkOHDiAQYMGISYmBhcvXqy3fs+ePZgyZQpmzJiBgwcPIi4uDnFxccjLy5Nqli9fjlWrViEtLQ05OTnw8fFBTEwMKioqpJqpU6fi2LFjyMzMxJYtW7B7927MnDmzzvmqq6sxZcoU3H777fb/8GTj9WlD62wLS9oKq1Xgg31nceeKnfjLhoNO6BkREVH9XDpkvfTSS3jkkUeQkJCAvn37Ii0tDd7e3njrrbfqrX/55Zcxbtw4PPnkk+jTpw+eeeYZ3HrrrVi9ejWA2lGslStXYtGiRZg4cSIGDhyId955B+fPn8fmzZsBACdOnEBGRgbeeOMN6PV6jBo1Cq+88go2bNiA8+fP25xv0aJFiIyMxP333+/Q69CRNLTIqKFPYL3b1+8twP/t/BYAsPXIBYf1i4iIqKVcNmRVVVUhNzcXBoNB2iaXy2EwGJCdnV3vMdnZ2Tb1ABATEyPV5+fnw2g02tRotVro9XqpJjs7G/7+/hg69JeRE4PBALlcjpycHGnb9u3bsWnTJqxZs6b1H9YNhAf4AECT61u1xN6nxqKbvxfe+uPQepd0AICsE4U489NV+52UiIjITlx2CYeioiJYLBbodDqb7TqdDidPnqz3GKPRWG+90WiU9l/b1lhNYKDtqImHhwc6d+4s1fz000/44x//iHfffRcajaZZn6eyshKVlZXSe7PZ3Kzj2ou3/jgML3x+Eo+N6dmqdq4fxwr0U+OrpLsard9x6lKrzkdEROQoLjuS5coeeeQRPPDAA7jjjjuafUxqaiq0Wq30Cg0NdWAPHWfkLV3q3R4e4IP/mzoE/btpHXp+pUfjf2X5TEMiInIVLhuyAgICoFAoUFho+y2ywsJCBAUF1XtMUFBQo/XXfm2q5tcT62tqalBcXCzVbN++HStWrICHhwc8PDwwY8YMmEwmeHh4NDhfLDk5GSaTSXqdPXu2OZfBZexdOBbrH9Hj9gj7r/LeEoND/Rvd/8nh843uJyIiaisuG7KUSiWGDBmCrKwsaZvVakVWVhaio6PrPSY6OtqmHgAyMzOl+vDwcAQFBdnUmM1m5OTkSDXR0dEoKSlBbm6uVLN9+3ZYrVbo9XoAtfO2Dh06JL3+8Y9/wM/PD4cOHcLvfve7evumUqmg0WhsXu1JoEaNkbcEOLsb0Hp5Nrp/7oZD0u93fXMJYUlb8cVp3lIkIqK257JzsgAgMTER06dPx9ChQzF8+HCsXLkSZWVlSEhIAABMmzYN3bp1Q2pqKgBg7ty5GD16NF588UXExsZiw4YN2L9/P9auXQug9nl48+bNw9KlSxEREYHw8HAsXrwYISEhiIuLAwD06dMH48aNwyOPPIK0tDRUV1dj9uzZmDx5MkJCQqSa6+3fvx9yuRz9+/dvoyvjxpq42zfXEIH/Hi9svOhn09+qXVPtoTf34syy2Nb2jIiIqEVcOmTFx8fj0qVLSElJgdFoRFRUFDIyMqSJ6wUFBZDLfxmMGzlyJNavX49FixZh4cKFiIiIwObNm23Cz4IFC1BWVoaZM2eipKQEo0aNQkZGBtRqtVTz3nvvYfbs2Rg7dizkcjnuu+8+rFq1qu0+ODWoX4gWA2/S4sg5U4uOq7ZY4alw2YFbIiJyQzLBmcJOYTabodVqYTKZ2t2tQ0cIS9oKAPBVeSDv7zGN1tZYrFj48VF8sP9cvftzFxnQxVcltXm9/NQJDS4HQURE1JSW/Pzm/9pTu+OhkGN4eP3fcgSAmf/KbXDfuzkFjugSERFRHQxZ5FKaO8bU0FISAJD7w2UcO1//7cTFm/Pq3U5ERGRvLj0nizqe5t67DvH3wtfJY3HCaMa+/GL8387vbPbHrvrS/p0jIiJqAY5kUbsVpFXjzt6BWDAu0tldISIiqoMhi1zKjU5JH9CCleb5XQ8iImoLDFnkFh654+Zm14Ynb8OVyhoH9oaIiIhzsshN3Bzg06L6lZnfQOPlif7dNLgrUtf0AURERC3EkEVuoaUPpn7jy3zp9zueGIOwLt5cP4uIiOyKIYtcixNyzp0rdgIAunf2Roi/Gs/+bgBu6erb9h0hIiK3wjlZRD8rKL6Kr78vxtgXd+F0Yamzu0NERO0cQxa5jd8N7ma3tu7+526EJW3FjyXldmuTiIg6FoYschu39Qywf5vLtqO4rMru7RIRkftjyCKX0popWb10jplHdeszmThxweyQtomIyH0xZJHbGHiTf4P7hoV1alXb41/+AskfHWlVG0RE1LEwZFGHsOnRkQ3u81Eq8FdDrybbeH/vWew7U2zPbhERkRtjyKIO7f6hN+HI0zGI6d+8BUknpWU7uEdEROQuuE4WuRR7Lwj6dsIw9A+xXaj0NwODseXIhdrzQQaFnIuQEhGR/XEki9xaz66+6OqnAgAsjeuPiEBfJE/oU6dOdt2U+5XxUQCAeweFtEkfiYjIPXEkizqMB0f0wIMjethsuxbAbu7qgxCtGhovT8QN7oaxfQJxuawanx4+X6cdIQQfwUNERE1iyKIOKe3BW7HlyAXMGnMLAMBTIceuBXdC/nN48lN7wk/tiftuvQn/PnDO5tjdp4uQuu0EhvTohAXjIqH18mzz/hMRketjyCKXYu8BoobaG9c/GOP6B9ts81TUvXv+4v2D0MVXibW7v5e2TX9rLwDgpLEU7+UUID91Ake2iIioDs7JIpcwPLwzACB+aKhd2xWi9W0srGcO1/XCk7chLGkrhD1ORkREboMhi1zCW38chrcThmH+Pb1b1U54gI+demRrQDdtkzXhydsw691ch5yfiIjaH4Yscgm+Kg/c2TsQSo/W/ZVMHh9p895ed/FWTBrUrLrP8owIS9qKI+dK7HNiIiJqtxiyyK04am5U7yC/FtX/dvVXeOHzkzCVVzukP0RE5PoYssitOXNC+pod32HQ3/+Lx9cfcFofiIjIeRiyyK244uTzrUcuICxpKz7Yd9bZXSEiojbEkEXUTH8cGQYAWBTbB2eWxWLDzBF15oA1ZsG/jyAsaSuSPzrqoB4SEZErkQlX/F//DsBsNkOr1cJkMkGj0Ti7O24j83ghHnlnv/T+UMrd8PdW2q19U3l1ncVHw5K23nB7Xyy4E6GdvVvbLSIiaiMt+fnNkSxyK9f/P8PLk6PsGrAA1Lu6+xP39Lrh9m5fvgNhSVvxw09lrekWERG5IK74Tm7l2rMIAWBiVLc2Oefjd/bEvYNCcPRHE2avPyhtz11kQGcfJSqqrVj++Um8/dWZBtsY/cJObJkzCp18lFiZ+Q3OXS7HsPDOSLz7xgMcERE5l8uPZK1ZswZhYWFQq9XQ6/XYu3dvo/WbNm1CZGQk1Go1BgwYgG3bttnsF0IgJSUFwcHB8PLygsFgwOnTp21qiouLMXXqVGg0Gvj7+2PGjBm4cuWKtH/nzp2YOHEigoOD4ePjg6ioKLz33nv2+9B0wwZ374Sk8ZFIe/DWNjunTCZDjy4++M3AEBxKuRvJ4yOx9qEh6OKrgkwmg5dSgSX39sNnc29vtJ3fvPIlblu2HZtyzyH7+5+wKus0vjh9qY0+BRER2ZtLh6yNGzciMTERS5YswYEDBzBo0CDExMTg4sWL9dbv2bMHU6ZMwYwZM3Dw4EHExcUhLi4OeXl5Us3y5cuxatUqpKWlIScnBz4+PoiJiUFFRYVUM3XqVBw7dgyZmZnYsmULdu/ejZkzZ9qcZ+DAgfj3v/+NI0eOICEhAdOmTcOWLVscdzGo2R4dfUud5xK2FX9vJf48+hbc0y+ozr4+wRo8GdOyFe0ferPx/6kgIiLX5dIT3/V6PYYNG4bVq1cDAKxWK0JDQzFnzhwkJSXVqY+Pj0dZWZlN2BkxYgSioqKQlpYGIQRCQkIwf/58PPHEEwAAk8kEnU6H9PR0TJ48GSdOnEDfvn2xb98+DB06FACQkZGBCRMm4Ny5cwgJCam3r7GxsdDpdHjrrbea9dk48b1jStv1HZZ9drJFxzwzsR8eig5zTIeIiKhF3GLie1VVFXJzc2EwGKRtcrkcBoMB2dnZ9R6TnZ1tUw8AMTExUn1+fj6MRqNNjVarhV6vl2qys7Ph7+8vBSwAMBgMkMvlyMnJabC/JpMJnTt3bnB/ZWUlzGazzYs6Hvl1a6NOjKo/sP/a4v8cw09XKh3UIyIichSXDVlFRUWwWCzQ6XQ223U6HYxGY73HGI3GRuuv/dpUTWBgoM1+Dw8PdO7cucHzfvDBB9i3bx8SEhIa/DypqanQarXSKzQ0tMFacl8y/JKyXp48GM/fNwDRN3dp8rgZ6/bDahU4U8RvIRIRtRf8dmEr7dixAwkJCXj99dfRr1+/BuuSk5ORmJgovTebzQxaHdCoiAAAgOrnB2HHD+uO+GHdAQAXTOU4X1KBIT06YcCSz1FaWSMdd+hsCaa/vRdfnC7Cc78bgAf03du+80RE1CIuO5IVEBAAhUKBwsJCm+2FhYUICqo7qRgAgoKCGq2/9mtTNb+eWF9TU4Pi4uI65921axfuvfde/POf/8S0adMa/TwqlQoajcbmRR1Pn2ANPp93B3IWjq2zL1jrhSE9OgEAPnpsZJ39X5wuAgAs/PgoR7SIiNoBlw1ZSqUSQ4YMQVZWlrTNarUiKysL0dHR9R4THR1tUw8AmZmZUn14eDiCgoJsasxmM3JycqSa6OholJSUIDc3V6rZvn07rFYr9Hq9tG3nzp2IjY3F888/b/PNQ6Km9A7ya3KRVLWnotH9Y1bsxNWqGqzZ8S0mrvkKnxw+DwAwV1TDahU4es6EIs7jIiJyKpf+duHGjRsxffp0vPbaaxg+fDhWrlyJDz74ACdPnoROp8O0adPQrVs3pKamAqhdWmH06NFYtmwZYmNjsWHDBjz33HM4cOAA+vfvDwB4/vnnsWzZMqxbtw7h4eFYvHgxjhw5guPHj0OtVgMAxo8fj8LCQqSlpaG6uhoJCQkYOnQo1q9fD6D2FuFvfvMbzJ07F3/5y1+k/iqVykYnv1+P3y6kxgghEJ68renCJhz7ewx8VB5SmzKZrIkjiIioMS35+e3Sc7Li4+Nx6dIlpKSkwGg0IioqChkZGdLE9YKCAsjlvwzGjRw5EuvXr8eiRYuwcOFCREREYPPmzVLAAoAFCxagrKwMM2fORElJCUaNGoWMjAwpYAHAe++9h9mzZ2Ps2LGQy+W47777sGrVKmn/unXrcPXqVaSmpkoBDwBGjx6NnTt3OvCKUEchk8mQnzoBD6fvw45TN74gafZ3P+HHknIs+eQYgNqHW4/p3RU9A/3s1VUiImqAS49kuTOOZFFzWK0CNy9s/YhWfbRenjCVV+PN6UMxto+u6QOIiMg91skiIkAul2HZ7wc4pG1TeTWA2uUhwpK2Ysep+p+kQEREN4YjWU7CkSxqiZKrVSi6UokPc39E2q7vHHoupYcc7z+ix5AezZtfSETUkXAki8jN+Hsr0TPQD0njI7Hp0dpvwvqpHTOlsqrGivtezcb2k4VNFxMRUYM4kuUkHMmi1iqvsqBPSob0/pauPsiaPwYV1RZELs5o5Mjmu3dQCCYPC8VtPQPs0h4RUXvHkSyiDsBLqcDEqBD076bB0rj+2DLndgC1a2wdffoePDOx4ScQNNenh89j6hs5OHKuBFYr/3+MiKglOJLlJBzJoraQtus7LPvspN3aO7Ms1m5tERG1RxzJIiIAwKOjb4FOo5Lej+tn+2ioYWGdMKRHJ/goFYiLCmmyvcfey8VOfguRiKhZOJLlJBzJorZy7vJVfJh7Dg+N6IFO3kqYyqvxTWEp/nu8EE/G9LZ5hE/6V/l4+tPjTbZ576AQvDJlsCO7TUTkklry85shy0kYsshVfXvxCgJ8lfi/nd/hUmklPj74Y4O13ywdD6UHB8SJqONgyGoHGLKovRBC4KMDP2L+psP17n/inl74zcAQhAX4AAAqqi2osQpsOXwe9/QLQmefxh+GTUTUnjBktQMMWdTeHDpbgrg1XzW4f0A3LY7+aKp338lnxtncliQiaq848Z2I7C4q1B8nnxmHtAeHSNuWxvXH7REBUMhlDQYsAIhcnIGyypq26CYRkcvgSJaTcCSL3EnRlUp8dvQCFv/nWKN1XAKCiNo7jmQRUZsK8FXhoegwpCcMa7QuLGkrBj79Oc5dvtpGPSMich6OZDkJR7LIXV00V+DYeTMqa6x49N3cButG9QzA07/th7Au3vBQ8P/3iKh94MT3doAhizqKsKStza79y9gIPDbmFk6SJyKXxduFROQy7uzdtdm1q7JOI3JxBu5asRMnLphRbbE6sGdERI7FkSwn4UgWdRSVNRZs2HsWSz5pfFJ8U9Y+NAR3RgbCk7cWiciJeLuwHWDIoo7mgqkcvioPHCwowbS39gIAHhtzCxaMi8QbX3yPpVtPNLutAF8V/v7bfojpp+N8LiJqUwxZ7QBDFnVkx86b0L2zN/zUnnX2ZeQZG50w35DB3f0xZXh33BUZiABfVdMHEBHdAIasdoAhi6h5LpjKMSktG+cul7foOKWHHFmJoxHa2dtBPSOijoghqx1gyCK6MedLynH3S7tQVmVp8bFv/3EY7owMdECviKijYMhqBxiyiFqvtKIa63MKcMFUgfQ9Z5p1zOlnx+NqlQU+SgXncxFRizFktQMMWUT2ddJohtUKBGnVKDRX4MfL5fjTO/sbPebeQSFYFNsHOo26jXpJRO0dQ1Y7wJBF5Him8mpsP1mI3w7qhlsWbmuy/qX7B8FDIcePl8vx6OibIZPJ2qCXRNSeMGS1AwxZRG2rJSvP/9o/JvZDFx8VIoP9UGMR6B3kh4rq2jlhXJ2eqGNpyc9vjzbqExGRSxge1hl7zxS36JiU/zS8kOrDt4Xj0dE3QwAI9FNx9IuIJAxZRNQhjI0MRNbJi5g6onuLQ1Zj3voqH299lS+97+qngp/KA75qD3grFfBWesBX5QE/de02jdqz9vcqD/ipPeGjUsBP5Qnfn7f5qjyg9pQzrBG5AYYsIuoQ1k4bitKKamjUnth29ALCuvhgyvDumLDqC0wfGYZj583Y/c2lVp/nUmklLpVWtqoNhVwmBS7fnwObQi7D3vz6w6FcBgT6qWE0VyAi0BdJ4yPRO8gPQRo1ZDIZFHIGNiJn4JwsJ+GcLCLXcO0/gebyGvz7wDn8ZlCw9PifETd3wU9XKvFeTgEe0HeH0VSBGev2I/X3AyCEwGPvHYBFCDxxT2/06OINX5UHuviocLWqBqUVNSivtuBqVQ2uVFpQWlGN0ooaXKmoQWll7e9LK2pQVlmDK5W1269U1aCt/ot8d18dbg7wwU9lVfgw95zNvinDu6PaYkUXXyVG3NwFPbv6AgC6+XtBzsBGHRwnvrcDDFlE9GtWq8DVagvKKmsDmBS+Kqtx6UoVFm/Oc3YXmy20sxfOFpdj0E1ajIoIgI/KA1ovT3grFaixCPxYUo5bu3eC2lMBrZcnFPLaETcvTwW6+Cr5IHByWW4VstasWYMXXngBRqMRgwYNwiuvvILhw4c3WL9p0yYsXrwYZ86cQUREBJ5//nlMmDBB2i+EwJIlS/D666+jpKQEt912G1599VVERERINcXFxZgzZw4+/fRTyOVy3HfffXj55Zfh6+sr1Rw5cgSPP/449u3bh65du2LOnDlYsGBBsz8XQxYR2cPpwlJU1ljRo4s3LFaBTw+fx7DwzliecQqVNRbIZTJ8cbqoznG9dX7oG6LBxwd/dEKvm+bv7QlflQcullbCQy6Dj8oDGrUHNF6eEALwVMggk8mg9lRAqZDBQy6Hp4ccngoZlAo5VB5yqD0V8FTIa18etdul9woZlB7yX7Zdd6ynQg7lz+895LXtqD3lUMhl8FF6cDSvg3ObkLVx40ZMmzYNaWlp0Ov1WLlyJTZt2oRTp04hMLDuozH27NmDO+64A6mpqfjNb36D9evX4/nnn8eBAwfQv39/AMDzzz+P1NRUrFu3DuHh4Vi8eDGOHj2K48ePQ62uXZBw/PjxuHDhAl577TVUV1cjISEBw4YNw/r16wHUXuBevXrBYDAgOTkZR48excMPP4yVK1di5syZzfpsDFlE5AqEEBACUnC4VFqJ04Wl0N/cBUIInL1cjre/ysf9Q0NhLq+GTqtG+ldnYCqvRniAD9SeClisVqzd/T203p64XFaNK5U1UHrIUVVjRbBWjbAuPgjt7IWLpZU4cs4EP7UHfvjpKm7q5AVPhRznLl9FtcVlfxTZkMsA689d9fv5yw0AUG0RUMhl8JTL4KGQS8HQ7+cvO3gpFSitqIbKUwEfpQKXSivRyVtZ25AM0Hp5QgYZBARkkMFP7QGVZ207HnI5fFQK/O3fR236cnOAD35/azes+O83SLgtDJfLqnBrj07wUXrgm8JSbMo9h4E3aTEsrDPM5dUY0zsQF0zl6KXzg5dSgRCtF5QecsgAyGSw+XtADXObkKXX6zFs2DCsXr0aAGC1WhEaGoo5c+YgKSmpTn18fDzKysqwZcsWaduIESMQFRWFtLQ0CCEQEhKC+fPn44knngAAmEwm6HQ6pKenY/LkyThx4gT69u2Lffv2YejQoQCAjIwMTJgwAefOnUNISAheffVVPPXUUzAajVAqa/+RJCUlYfPmzTh58mSzPhtDFhF1REKIOt+cNFdU42qlBTqNCkIAJeXVKLpSieKyKgT6qeAhl6O0shqm8mqYrlaj5ueUY7EKWIVAtcWKKotAdY219vc1VlTWWFFZY0G1RaDKYpX2Se9/rvv1sde2V1lq262xWFFebZGCFdUK9FPBV+0BtUdtyLQKAW+lAnKZDDVWAaVCDouo/fMBAKVCjvLq2pFVT4UMVTVWqDwVUMhkqLJYIQPgpVSgvMqCGquAQG2g9fw5sMplMshkgFwmk9rUqGtvM1/7MyurqoHKo/Z2c2W1FQDQJ9gPs++KqO8j3DC3WCerqqoKubm5SE5OlrbJ5XIYDAZkZ2fXe0x2djYSExNttsXExGDz5s0AgPz8fBiNRhgMBmm/VquFXq9HdnY2Jk+ejOzsbPj7+0sBCwAMBgPkcjlycnLwu9/9DtnZ2bjjjjukgHXtPM8//zwuX76MTp061elbZWUlKit/+caR2Wxu2QUhInID9S1NoVF7QqP2/Hk/0NlHic4+yjp1ziKEQLWlNjCYK6rx05UqqDxq54xd/flB5Z4KuRT4qi1WWKxAWWUNzBXVMP/8hQeNl0dtGKisgbmiBl18lJD9PDJWXFYFuUwGhbz2fcnVatRYrLBYBSpqLCi6UtXgt0ud4WJpJS628lu0bSG/qMzuIaslXDZkFRUVwWKxQKfT2WzX6XQNjhYZjcZ6641Go7T/2rbGan59K9LDwwOdO3e2qQkPD6/TxrV99YWs1NRU/P3vf2/4AxMRkUuSyWRQetSGQ7WnAoF+rvmsS6tVQC6X4fDZEvzt30cQ4u8FhVyG4rIqmMqr8e3FKzfU7p9H34zwLj7o1skLR86ZUFZZg1u6+qJbJy+YyqulOXI1VoGKags85HJp1KnGaoWHXI4qixVengqUV1sghICXpwJVP4fIaouAj1KBq1UWeChqr7O3sjaQ1lhrR6SsQqC6pvbzyX5+f6WyBlYByFA76qX19oS5vPZbvRargKm8GmFdfOx0dW+My4Ysd5OcnGwzymY2mxEaGurEHhERkTu5Np9qUKg/Mubd4ZBz3B7R1SHtuiuX/Y5sQEAAFAoFCgsLbbYXFhYiKCio3mOCgoIarb/2a1M1Fy9etNlfU1OD4uJim5r62rj+HL+mUqmg0WhsXkREROS+XDZkKZVKDBkyBFlZWdI2q9WKrKwsREdH13tMdHS0TT0AZGZmSvXh4eEICgqyqTGbzcjJyZFqoqOjUVJSgtzcXKlm+/btsFqt0Ov1Us3u3btRXV1tc57evXvXe6uQiIiIOiDhwjZs2CBUKpVIT08Xx48fFzNnzhT+/v7CaDQKIYR46KGHRFJSklT/1VdfCQ8PD7FixQpx4sQJsWTJEuHp6SmOHj0q1Sxbtkz4+/uL//znP+LIkSNi4sSJIjw8XJSXl0s148aNE4MHDxY5OTniyy+/FBEREWLKlCnS/pKSEqHT6cRDDz0k8vLyxIYNG4S3t7d47bXXmv3ZTCaTACBMJlNrLhERERG1oZb8/HbpkCWEEK+88oro3r27UCqVYvjw4eLrr7+W9o0ePVpMnz7dpv6DDz4QvXr1EkqlUvTr109s3brVZr/VahWLFy8WOp1OqFQqMXbsWHHq1Cmbmp9++klMmTJF+Pr6Co1GIxISEkRpaalNzeHDh8WoUaOESqUS3bp1E8uWLWvR52LIIiIian9a8vPbpdfJcmdcJ4uIiKj9acnPb5edk0VERETUnjFkERERETkAQxYRERGRAzBkERERETkAQxYRERGRAzBkERERETkAQxYRERGRAzBkERERETmAh7M70FFdWwPWbDY7uSdERETUXNd+bjdnLXeGLCcpLS0FAISGhjq5J0RERNRSpaWl0Gq1jdbwsTpOYrVacf78efj5+UEmk9nsM5vNCA0NxdmzZ/nInTbCa+4cvO5tj9e87fGaO4ejrrsQAqWlpQgJCYFc3visK45kOYlcLsdNN93UaI1Go+E/yDbGa+4cvO5tj9e87fGaO4cjrntTI1jXcOI7ERERkQMwZBERERE5AEOWC1KpVFiyZAlUKpWzu9Jh8Jo7B6972+M1b3u85s7hCtedE9+JiIiIHIAjWUREREQOwJBFRERE5AAMWUREREQOwJBFRERE5AAMWS5ozZo1CAsLg1qthl6vx969e53dJZe0e/du3HvvvQgJCYFMJsPmzZtt9gshkJKSguDgYHh5ecFgMOD06dM2NcXFxZg6dSo0Gg38/f0xY8YMXLlyxabmyJEjuP3226FWqxEaGorly5fX6cumTZsQGRkJtVqNAQMGYNu2bXb/vK4gNTUVw4YNg5+fHwIDAxEXF4dTp07Z1FRUVODxxx9Hly5d4Ovri/vuuw+FhYU2NQUFBYiNjYW3tzcCAwPx5JNPoqamxqZm586duPXWW6FSqdCzZ0+kp6fX6U9H+Lfy6quvYuDAgdKCitHR0fjss8+k/bzejrds2TLIZDLMmzdP2sbrbn9PP/00ZDKZzSsyMlLa3y6vuSCXsmHDBqFUKsVbb70ljh07Jh555BHh7+8vCgsLnd01l7Nt2zbx1FNPiY8++kgAEB9//LHN/mXLlgmtVis2b94sDh8+LH7729+K8PBwUV5eLtWMGzdODBo0SHz99dfiiy++ED179hRTpkyR9ptMJqHT6cTUqVNFXl6eeP/994WXl5d47bXXpJqvvvpKKBQKsXz5cnH8+HGxaNEi4enpKY4ePerwa9DWYmJixNtvvy3y8vLEoUOHxIQJE0T37t3FlStXpJpHH31UhIaGiqysLLF//34xYsQIMXLkSGl/TU2N6N+/vzAYDOLgwYNi27ZtIiAgQCQnJ0s133//vfD29haJiYni+PHj4pVXXhEKhUJkZGRINR3l38onn3witm7dKr755htx6tQpsXDhQuHp6Sny8vKEELzejrZ3714RFhYmBg4cKObOnStt53W3vyVLloh+/fqJCxcuSK9Lly5J+9vjNWfIcjHDhw8Xjz/+uPTeYrGIkJAQkZqa6sReub5fhyyr1SqCgoLECy+8IG0rKSkRKpVKvP/++0IIIY4fPy4AiH379kk1n332mZDJZOLHH38UQgjxf//3f6JTp06isrJSqvnb3/4mevfuLb2///77RWxsrE1/9Hq9+POf/2zXz+iKLl68KACIXbt2CSFqr7Gnp6fYtGmTVHPixAkBQGRnZwshasOxXC4XRqNRqnn11VeFRqORrvOCBQtEv379bM4VHx8vYmJipPcd+d9Kp06dxBtvvMHr7WClpaUiIiJCZGZmitGjR0shi9fdMZYsWSIGDRpU7772es15u9CFVFVVITc3FwaDQdoml8thMBiQnZ3txJ61P/n5+TAajTbXUqvVQq/XS9cyOzsb/v7+GDp0qFRjMBggl8uRk5Mj1dxxxx1QKpVSTUxMDE6dOoXLly9LNdef51pNR/gzM5lMAIDOnTsDAHJzc1FdXW1zPSIjI9G9e3eb6z5gwADodDqpJiYmBmazGceOHZNqGrumHfXfisViwYYNG1BWVobo6Ghebwd7/PHHERsbW+fa8Lo7zunTpxESEoKbb74ZU6dORUFBAYD2e80ZslxIUVERLBaLzV8QANDpdDAajU7qVft07Xo1di2NRiMCAwNt9nt4eKBz5842NfW1cf05Gqpx9z8zq9WKefPm4bbbbkP//v0B1F4LpVIJf39/m9pfX/cbvaZmsxnl5eUd7t/K0aNH4evrC5VKhUcffRQff/wx+vbty+vtQBs2bMCBAweQmppaZx+vu2Po9Xqkp6cjIyMDr776KvLz83H77bejtLS03V5zjxYfQUSE2v/Lz8vLw5dffunsrri93r1749ChQzCZTPjwww8xffp07Nq1y9ndcltnz57F3LlzkZmZCbVa7ezudBjjx4+Xfj9w4EDo9Xr06NEDH3zwAby8vJzYsxvHkSwXEhAQAIVCUefbEoWFhQgKCnJSr9qna9ersWsZFBSEixcv2uyvqalBcXGxTU19bVx/joZq3PnPbPbs2diyZQt27NiBm266SdoeFBSEqqoqlJSU2NT/+rrf6DXVaDTw8vLqcP9WlEolevbsiSFDhiA1NRWDBg3Cyy+/zOvtILm5ubh48SJuvfVWeHh4wMPDA7t27cKqVavg4eEBnU7H694G/P390atXL3z77bft9u86Q5YLUSqVGDJkCLKysqRtVqsVWVlZiI6OdmLP2p/w8HAEBQXZXEuz2YycnBzpWkZHR6OkpAS5ublSzfbt22G1WqHX66Wa3bt3o7q6WqrJzMxE79690alTJ6nm+vNcq3HHPzMhBGbPno2PP/4Y27dvR3h4uM3+IUOGwNPT0+Z6nDp1CgUFBTbX/ejRozYBNzMzExqNBn379pVqGrumHf3fitVqRWVlJa+3g4wdOxZHjx7FoUOHpNfQoUMxdepU6fe87o535coVfPfddwgODm6/f9dbPFWeHGrDhg1CpVKJ9PR0cfz4cTFz5kzh7+9v820JqlVaWioOHjwoDh48KACIl156SRw8eFD88MMPQojaJRz8/f3Ff/7zH3HkyBExceLEepdwGDx4sMjJyRFffvmliIiIsFnCoaSkROh0OvHQQw+JvLw8sWHDBuHt7V1nCQcPDw+xYsUKceLECbFkyRK3XcJh1qxZQqvVip07d9p8zfrq1atSzaOPPiq6d+8utm/fLvbv3y+io6NFdHS0tP/a16zvuececejQIZGRkSG6du1a79esn3zySXHixAmxZs2aer9m3RH+rSQlJYldu3aJ/Px8ceTIEZGUlCRkMpn473//K4Tg9W4r13+7UAhed0eYP3++2Llzp8jPzxdfffWVMBgMIiAgQFy8eFEI0T6vOUOWC3rllVdE9+7dhVKpFMOHDxdff/21s7vkknbs2CEA1HlNnz5dCFG7jMPixYuFTqcTKpVKjB07Vpw6dcqmjZ9++klMmTJF+Pr6Co1GIxISEkRpaalNzeHDh8WoUaOESqUS3bp1E8uWLavTlw8++ED06tVLKJVK0a9fP7F161aHfW5nqu96AxBvv/22VFNeXi4ee+wx0alTJ+Ht7S1+97vfiQsXLti0c+bMGTF+/Hjh5eUlAgICxPz580V1dbVNzY4dO0RUVJRQKpXi5ptvtjnHNR3h38rDDz8sevToIZRKpejatasYO3asFLCE4PVuK78OWbzu9hcfHy+Cg4OFUqkU3bp1E/Hx8eLbb7+V9rfHay4TQoiWj38RERERUWM4J4uIiIjIARiyiIiIiByAIYuIiIjIARiyiIiIiByAIYuIiIjIARiyiIiIiByAIYuIiIjIARiyiIgcZPPmzVi2bJmzu0FETsKQRUTkILm5uejcuTN++OEHZ3eFiJyAIYuIyEGqq6uxc+dOBAUFObsrROQEfKwOERERkQNwJIuIiIjIARiyiIjsLDs7GwqFArGxsc7uChE5EW8XEhHZ2Z/+9Cf4+vrizTffxKlTpxASEuLsLhGRE3Aki4jIjq5cuYKNGzdi1qxZiI2NRXp6urO7REROwpBFRGRHH3zwASIjI9G7d288+OCDeOutt8AbBkQdE0MWEZEdvfnmm3jwwQcBAOPGjYPJZMKuXbuc3CsicgbOySIispNTp06hf//++PHHHxEYGAgAmD17NkwmE/71r385uXdE1NY8nN0BIiJ38eabb6KmpsZmorsQAiqVCqtXr4ZWq3Vi74iorfF2IRGRHdTU1OCdd97Biy++iEOHDkmvw4cPIyQkBO+//76zu0hEbYy3C4mI7GDz5s2Ij4/HxYsX64xY/e1vf8P27duxb98+J/WOiJyBIYuIyA7uvfdeWK1WbN26tc6+vXv3Qq/X4/Dhwxg4cKATekdEzsCQRUREROQAnJNFRERE5AAMWUREREQOwJBFRERE5AAMWUREREQOwJBFRERE5AAMWUREREQOwJBFRERE5AAMWUREREQOwJBFRERE5AAMWUREREQOwJBFRERE5AAMWUREREQOwJBFRERE5AD/D8dBBacZsWkbAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from milespy import SSPLibrary\n", "lib = SSPLibrary(source='EMILES_SSP')\n", "plt.plot(lib.models.spectral_axis, lib.models[10].flux);" ] }, { "cell_type": "markdown", "id": "7d4b8a99-c300-4d25-8a50-e45056c3db52", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "However, we do not require all the spectral range for this analysis. Thus, we trim the models to the region of interest. Note that not doing this could cause a **very large** memory allocation, as there are ~50000 spectral points and ~150000 particles, resulting in ~60 GB of required RAM! If you really need the full spectral range, you could perform the following analysis in batches of particles to make it more manageable for your system." ] }, { "cell_type": "code", "execution_count": 6, "id": "1bbe142c-71db-4547-8f79-2926b7db08e8", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lib.trim(3000.*u.AA, 9000*u.AA)\n", "plt.plot(lib.models.spectral_axis, lib.models[10].flux);" ] }, { "cell_type": "markdown", "id": "cb69d82c-51e0-4c62-aad0-5bda17dcc46b", "metadata": {}, "source": [ "If this is still not enough or you do not need the spectral resolution, you can also resample the whole library." ] }, { "cell_type": "code", "execution_count": 7, "id": "25015de1-0cda-4f61-bfc6-552814aede20", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lib.resample(np.arange(3010, 9000, 3)<" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "galaxy_spectrum = specs.sum(axis=0)\n", "galaxy_spectrum_los = shifted.sum(axis=0)\n", "\n", "plt.plot(galaxy_spectrum.spectral_axis, galaxy_spectrum.flux)\n", "plt.plot(galaxy_spectrum_los.spectral_axis, galaxy_spectrum_los.flux, alpha=0.9)\n", "\n", "x1, x2, y1, y2 = 6520, 6600, 2.7e6, 4.5e6 # subregion of the original image\n", "axins = plt.gca().inset_axes(\n", " [0.4, 0.1, 0.4, 0.4],\n", " xlim=(x1, x2), ylim=(y1, y2), xticklabels=[], yticklabels=[])\n", "axins.plot(galaxy_spectrum.spectral_axis, galaxy_spectrum.flux)\n", "axins.plot(galaxy_spectrum_los.spectral_axis, galaxy_spectrum_los.flux, alpha=0.9)\n", "\n", "plt.gca().indicate_inset_zoom(axins, edgecolor=\"black\");" ] }, { "cell_type": "markdown", "id": "7a4606c6-3139-445b-aa15-2ce983f7fe11", "metadata": {}, "source": [ "In this simple example, the velocity distribution is nearly Guassian, and thus we obtain a simple smoothing of the spectra. However, this procedure can be the basis for more complex analysis." ] }, { "cell_type": "markdown", "id": "1cc0cb1f-7c6d-46ee-bac3-2aa7d1bc2534", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "## Building a spectral cube\n", "\n", "As we have a spectrum per particle, it could be of interest to build a spectral cube, where we sum the contribution of all particles in a given bin (weighted by their mass).\n", "For this, we first define the binning configuration and we used `binned_statistic_2d` to get the bin to which each particle belongs." ] }, { "cell_type": "code", "execution_count": 13, "id": "1b0cbceb-f628-4a22-bf3c-faefecb57e5d", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [], "source": [ "from scipy.stats import binned_statistic_2d\n", "\n", "nbins = 100\n", "bins = np.linspace(-20,20,nbins)\n", "_, xed, yed, nn = binned_statistic_2d(x, y, mass, statistic='sum', bins=bins, expand_binnumbers=True) " ] }, { "cell_type": "markdown", "id": "a3b490a1-4c64-4a05-94cf-e6f8bfc5a579", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "Then we create an empty spectral cube and we start summing the contribution to each bin" ] }, { "cell_type": "code", "execution_count": 14, "id": "999e3821-c45e-4468-b375-92d36e8a44de", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [], "source": [ "from milespy.spectra import Spectra\n", "\n", "cube = Spectra(spectral_axis=specs.spectral_axis, flux=u.Quantity(np.zeros((nbins+1,nbins+1,specs.npix)), unit=specs.flux.unit)) \n", "for i,(xx,yy) in enumerate(nn.T): \n", " cube.data[yy,xx,:] += specs.data[i, :] " ] }, { "cell_type": "markdown", "id": "c99499b3-1822-4456-b2ee-65f4756bb7ea", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "We compute the zero moment (i.e., intensity) of the whole cube" ] }, { "cell_type": "code", "execution_count": 15, "id": "c12a0428-1e11-40ef-bb1e-954d23f7954c", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from specutils.analysis import moment\n", "\n", "mom = moment(cube, order=0)\n", "plt.imshow(mom.value, norm=LogNorm());" ] }, { "cell_type": "markdown", "id": "053bc2ce-3466-4b19-990b-868d2a5010c9", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "## Spectral regions\n", "\n", "Using `spectral_slab` we can take a look at specific part of the spectra for its analysis" ] }, { "cell_type": "code", "execution_count": 16, "id": "a43cb394-1ac2-4fef-b102-0194b3e12b77", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from specutils.manipulation import spectral_slab\n", "\n", "subspec = spectral_slab(cube, 6530.*u.AA, 6590*u.AA)\n", "ha_flux = np.sum(subspec.flux, axis=(0,1))\n", "plt.plot(subspec.spectral_axis, ha_flux);" ] }, { "cell_type": "code", "execution_count": 17, "id": "7810231e-eae8-451b-b780-c5077296c94b", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ha_mom = moment(subspec, order=0)\n", "plt.imshow(ha_mom.value, norm=LogNorm());" ] }, { "cell_type": "markdown", "id": "03138410-5d7b-494a-9d3c-6ee91e205f02", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "## Magnitudes\n", "\n", "We are going to compute the `i`, `g` and `r` magnitudes of the galaxy, assuming that it is at a distance of 10 Mpc" ] }, { "cell_type": "code", "execution_count": 18, "id": "ad92d4c9-e546-4d33-94f1-33bb72ef2c09", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [], "source": [ "import milespy.filter as flib\n", "\n", "fnames = flib.search(\"OAJ_JPAS.(iSDSS|gSDSS|rSDSS)\")\n", "filts = flib.get(fnames)\n", "abs_mags = cube.magnitudes(filters=filts)" ] }, { "cell_type": "code", "execution_count": 19, "id": "7849215a-eded-4f2b-acdd-e6fe1d4fa325", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [], "source": [ "d = 10 * u.Mpc\n", "distance_modulus = 5 * np.log10( d.to(u.pc)/(10*u.pc) ) - 5\n", "mags = {k: (abs_mags[k] + distance_modulus) for k in abs_mags.keys()}" ] }, { "cell_type": "code", "execution_count": 20, "id": "24d2c638-e8c8-4447-9e7d-9308383ef1d9", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [ "nbsphinx-thumbnail" ] }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.imshow(mags['OAJ_JPAS.rSDSS'], cmap='Greys', vmin=9, vmax=16, extent=(-0.2, 0.2, -0.2, 0.2))\n", "plt.gca().set_facecolor(\"k\")\n", "plt.xlabel('x [kpc]')\n", "plt.ylabel('y [kpc]')\n", "cbar = plt.colorbar().set_label(r'm$_\\mathrm{r}$', fontsize=20)\n" ] }, { "cell_type": "markdown", "id": "b6e21867-acf2-4d7f-a9e4-91593a1ed3ca", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "A color map can also be obtained" ] }, { "cell_type": "code", "execution_count": 21, "id": "54986822-88f4-4b81-8782-09d5f802c6c0", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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wdaV6xeOWkga2qWxr6/ftg3bt2zdoX8WXL8PN/fu3+HuOPKELgiAIZosl5XKXG7ogCIJgtlhS6lcpziIIgiAIZoA8obcAvtu6jfQfGD6sli2Ng5fs/Ov4MbVs2XiaeV3avJU1taphPvlhNelPvnO03nawsyNjvOypoWPILiwkfWyzOpieQcYMWYa4Zs63xdosP6flg5UmnXT6tMHjvVKkdGhu5eM6M55fXB71ely+eElv8/Kp8SmppN/ZQ6W5jd9BbV+8ZO83f2zU2927BJCx3CI691Pvullv/7pvPxnr3Zm+1sXRUW9fuExTynLbolXP2q8rQ+ly+doBXtr22NmzatuqqlqPDwDAHqXw9XZ1rfV4AKhuzs9/BXufP3arVLvmlPq5sbCkXO5yQxcEQRDMFkuyrUnIXRAEQRDMAHlCFwRBEMwWS3pClxt6E2HIs2qMZs518bHREaRvjdKnGtLMjcWQT5anFB3SM7TW/fC0m+VXymrdlmvSWOf1Z+lbi5jf2VC5T65J4nPRw9+PjHEvPH6fDp50PcBXGzaRfky/PlAbhlLpfvsTPcd3jx+lt7m+uuPgEdJ3H6r8tjzt6pr9VKO+a5jSjldspJ76cUMGkP6qDcqPz1Pe4jKsAACVFWp++ZqJRLZGoQdKyzthAL2W8y/TuU9HXnNXlqKXfzZeXhUT3ZWmd8XXFS9dy1P2YniKVrzGAwDAy0XNf12lgTF8jQdfHyAYh9jWBEEQBMEMsKQndJNr6AsWLIABAwaAk5MTeHh4wIQJEyAlhWasKi0thZkzZ4Kbmxu0b98eJk6cCDnsf/mCIAiCINQfkz+hb9myBWbOnAkDBgyAyspKeOmll+CWW26Bo0ePQrs/w2TPPfcc/Prrr7BixQpwcXGBWbNmwV/+8hfYsWNHHXtvvRhKC1kXOFxXVxgdW3J4Os99GRmkj0N5P+3ZQ8YmDqAhVxxmf3/Zz2TsymUa7g5BVbx4ystb+/YlfWwT4qHbNjY2tfZ5VbTzly6R/qYdytqjDab/uzaUUjQCVXQDqGkp1Kqq9TY/FzwcHndYpaMd3bsXGcPHf4nJBQFh1K6Fw8A1Uobm0lDulfIKvf3Nxs1krF9IMOmfzleV+xzbU8tVZXU16Y8a0l9vr9mxm4w9djudh9IKdQx8rruxynJ709P19nhUTQ0AoLiMyjFdPT31dmJGOhmLCKTnrQxdV9yKxsPdv+xT18od/fuDIbB0xiUhLqthix6vxGcoBO9WR5pS544tN/VoS6Q5n9AXLVoE77zzDmRnZ0Pfvn3hP//5DwwcOLDW7QsKCuDll1+G//3vf5Cfnw+dO3eGhQsXwrhx4+r1fia/oa9bt470v/76a/Dw8IDExEQYPnw4FBYWwhdffAFLly6Fm266CQAAvvrqKwgLC4Ndu3bBIJZLWRAEQRBulObS0JcvXw6xsbGwePFiiIqKgoULF8KYMWMgJSUFPK6zNqO8vBxuvvlm8PDwgB9//BF8fX3h1KlT4FpHDgNMo2vohX8u8Oj45yKmxMREqKiogJiYGH2b0NBQCAgIgPj4+Ove0MvKyqAM/W+9qKiokY9aEARBEG6c9957Dx599FGYMWMGAAAsXrwYfv31V/jyyy9h9uzZNbb/8ssvIT8/H3bu3Alt/ozKBRq5ILJRfejV1dXw7LPPwpAhQ6BXr6shx+zsbLCzs6vxvw5PT0/IZtmqrrFgwQJwcXHRf/zZqmVBEARBuB6aif4BXH2YxD9lZdd36ZSXl0NiYiJ5cLW2toaYmBiIZ5kKr/HLL79AdHQ0zJw5Ezw9PaFXr17w5ptvQhVz5RiiUZ/QZ86cCUlJSbB9+/a6NzbAnDlzIDY2Vu8XFRW1yJu6IatUQ8D6miEdHIBq33VtixnWndp8Plv7B+njFJNB3ehn45915d69etulLdVmHe2oLehgppqzKqbbHth9lPRHjIzU21ZWNLXnFaTbAgDcMVqtH/DtQC1umazcZ3pert5uY0O/ErjMKQDAlAnqC/rxz7+RMds2VPPHc8Y10xxkTeKpVH27+ZJ+LopI7Tt2goyNCKfa/JYjas7KS8vJWMLhZNKvqlTz3cnbjYxxuxa2dt0ziqaU3XSUnidsGeP2vJ827yT925A9jp8XbiHbhD4bt7hlF9KonZODStmKS79e75iwbn6uoICM8ZSteC0MXzPBr/WyCvW+/m50fg3B0/vyNLeCcWja1Z+G7gMAatx35s+fD3//+99rbH/+/HmoqqoCT7TuA+Dqg+uxY8eu+x4nT56EjRs3wtSpU2Ht2rVw4sQJePLJJ6GiogLmz59fr+NstBv6rFmzYM2aNbB161bw81PeXi8vLygvL4eCggLylJ6TkwNeXl7X2ROAvb092LOcyoIgCILQlGRlZZF66Ka8L1VXV4OHhwd8+umnYGNjAxEREXDmzBl455136n1DN3nIXdM0mDVrFqxcuRI2btwIQWzVcEREBLRp0wbi4uL036WkpEBmZiZEs1XZgiAIgtAQtD8XxTXk59oqd2dnZ/JT2w3d3d0dbGxsatixDT24ent7Q7du3cAGuXnCwsIgOzsbysvLr/sajslv6DNnzoTvv/8eli5dCk5OTpCdnQ3Z2dlw5U9rjouLCzz88MMQGxsLmzZtgsTERJgxYwZER0fLCndBEATBpFyzrTX0xxjs7OwgIiKCPLhWV1dDXFxcrQ+uQ4YMgRMnTkA1kh5TU1PB29sb7Fh1ydowecj9448/BgCAkSNHkt9/9dVX8OCDDwIAwL///W+wtraGiRMnQllZGYwZMwY++ugjUx9Kk+PsoPQ1rl93ZL7pHag85dShQ+r9HlwH5++D9daxfWjqUUO6eGVVda1jANRP7sN0xa1JVEMdP1Bp3dwvznFrfxG1qf/2Qij1luM5XBefSMbGDKL+4T0nT+rtdCeqX9/Uoyfprzt0SG/zVK+Dh4aTPi5dOSKSzm9i2knSx/5n7n1etkstjBk4uDcZyzxHj/dkrtL4HxkbQ8Z42dMRPXvobezxBgCwZ9pxAUqtOiKUpuvlvn5cTjWarbdoa0//2OBrkB/f/beMIP2tx1TSqb4B1H9va0OfNwJRCdfCEurdP8JK0GJdnGvdacy73xb9seTHyzX0A6dO6W2umReX0ePFunkaOocAALvT0kj/1BG13849O5Mx/p1POXcOamNHKi17aygFrtC4xMbGwvTp0yEyMhIGDhwICxcuhOLiYn3V+7Rp08DX1xcWLFgAAABPPPEEfPjhh/DMM8/AU089BcePH4c333wTnn766Xq/p8lv6PX5n4yDgwMsWrQIFi1aZOq3FwRBEASd5vKhT5o0CfLy8mDevHmQnZ0N4eHhsG7dOn2hXGZmJlijhEP+/v7w+++/w3PPPQd9+vQBX19feOaZZ+DFF1+s93tKLndBEATBbGnOTHGzZs2CWbNmXXds8+bNNX4XHR0Nu3btuqH3ApAbukk5hkJhPNzNMVRtyRA/MA9jFw+6Hw+0AnM5uzB4GB2nNa2r4htOObotmdouRvSmIew/Dh/W25PYugieChaH2Xla01221KIVhOYs2Yduu+znONKPGqzmf2BwFzAEtuzlFdFQ89aj1OqF55BX+CopLCH9LJRa9TCyNAIAWAG13WECvGs/p7zC17gxVK7BVi9e6ayULawJQPN9hY1x65QjsoG1YwuBuA0Mf+6uzLZz/hK1YA1Clc/4MXArGg4f8+voYgHdFksnJXUsKMJ2yTAfHzKG07cC0M8en0qvz/uGDCZ9fIwrftlIxnxC6PvwNLKGwOF5YHqshNhrIsVZBEEQBEFoVcgTuiAIgmC2SD10QRAEQTADcOrWhuyjNSA3dBOCdfNPVv9Oxuoqe4rh5R6xRslLohqC64zfb6MpeMeEq+PlpR+5loz12PuH0dSfSaepPlyQR3VHzKGsTLrtJaV1dnCitrVh3buTPk7L6exIy9G2caBpQkf1UPatQ0y/tmNlWfH/vnccPELG2rnQY8L74vowL5G59ZDaV04GTTBxzx036W1b9jprlta2HOVy5ha3apYuF2vfnZydwBCXS9U556VKeRnZXalqvxUst/QZZgvr6qnSxuLUvtcjBM2hsyO1gbVl3ttvt2zV207taFnW21gqWDtbdY73M2tnewd67fTwVal2U5ltDc8RAIAjOqbobl3JGC//i6+PsTfT7y0/hvVJqtQuvx461lFOFbN6/z7SH9/PcDlYwbyQG7ogCIJgtpgyl3tLR27ogiAIgtliSRq6rHIXBEEQBDNAntAbiZGRhn3ohnjv6x9J3xiPKvbf8pSR3Od97OxZvX2lnJYfLWLa4clUlaKTp051bUvTuw7pp/Rrrttz/R2no3Xz8SZj2YVUi/dycdHb/ToHkjF+TKsSVWpYG2uqSXu7uJI+1jPvHBpFxjLymN8ZlbK0Y+U9b+3bl/T5WggMXt+A058CAHh1pP7xm3upEqleLs5kjPu6Q1DhBzxfAAAZbE0F/twd2lJNupSVo8XpXnk5T54mFpeG5XPAdXKcu4GXOeVefef26jqbEEE1c57e1d1JrR9IO0xT4P51ynjST0bfg26scAb/rPg7tZWVweRrKNqgtRqHT9G1I6N707K3OPUu9/Xz3AOG/h50bEf1dvxaNx9aRri8lJ5jO7QOheesaM1o0HAfeet4PpcbuiAIgmDGSMhdEARBEIRWhTyhmxAc7sa2GWPhITUcnuVhcx7SxGk3+/j7k7GMvLxat+VpN8+doduOGxwJteHXkYbysO2K26r4MXT2V2H29BxakSqQpbX99idlBQwf2IOM8fByQYEKA/t60jk7eJyGYLsF+ultXCkMoKZtyRVVfMtGNjoAgF/2UcsQPlc85OrSXoW4I1hq2hJmIcPnv/AKrTIW6k1lCgwPsXfx8CD9fBRO5pXZiq/Qzz0kVIXc+Tn1ZDLA6XwV/h4cEkLGtrBUuiE+KsTt5EDD8Tzcja2TPAztE0znoR2a35tGDSBjvAIgtonx7xe38609cEBvH9pLQ+6xD95N+jgFMk+tnJ5Hr3VcUS+UpZ+dePtIqC889WvmhQt6O5JZEUNqqcttblhS6le5oQuCIAhmi9zQBUEQBMEcsCAjumjogiAIgmAGyBO6EexOSyP9gcHBpI81aXcj0jXWBdb1uAbNy7Cu/X2H3t7p4UrGHr9jbK2v3cfSYw7qSj8bLhvJ9csOntRmhdPcDgyh6TH58RpTRhbrxb8jfRKg5pqFB0eP1NtfbdhExkaEU8uQoTUKPH0uDr25MquXt6sr6R/MVLp5cUExGXNFFiyui3dyoilb8ZqE5DNnyFgaSzca4Oamt7kFC9uzAAAykSXPls3fTb2oDRCvD3Fnx2fFUtVeLFZlZKuY3n7hzAXSd0PpafMv0znq5edH+pXVKuXsQ/feSsa4fQ+fJ17ulacqxuftm42byRgvDeyFts3vTo9v7cGDpJ+Xoz7rKX96HQV1ousZzrH1GJgrzEJoDDhVNC8Fy1myXf3tmDp0iIEtWxdatQZadQND7g18fVMhN3RBEATBfDFBxL21GNEl5C4IgiAIZoA8oQuCIAhmiyWtcrfSWsuRIoqKisDFxQUKCwvB2dm57hc0AKw7eTi7GNiSglOaAhhOpXiMaZuOrGwk1nV5KVB/5gHHOr4382bjMQAAN6TzL125nox16U09q1eKlS95YCj1FmOvKwDVW08dOUXGJowbTvq4XGVuLj0+Dw/62YqQNhvFtPkDp+j7uKFSrFV16F+4hOdW5pNuY0fTu+JzceLsOTLWlpV0xR7sxAzq8+7jH6C3eQ4A7EkGALBHKWaLmN7OdXwX1O/I/NZ8vUIi8p6fLaCpU3l63LZIh7ZnKW/5nxB8jDwlK39tT1S6tKCkhIxlFxaQfhA6/kul1B/OdXIbpOvz1LSe7HtxEb3vBbZtFkv92z9YfS+C2HzyksN4vo+zsqxcF8fv68bWKPDXThygfPV8jQdfA9KSaey/49f2v3jNWnBk3wVjuVJcDI/fPq5J7jkNQULugiAIgmAGSMhdEARBMFssKeQuN/Q6wGF2bu3ac5hWycJ2LWOqFaUzKxoPPeIwGk/nysFpLU8wSxMPz+HQ+PS7qaXt1/g9pG/vqEKaPB2qBwtBZeep0DlPh3kok6ZAxeFmjVmccIgdAMDBXkkRuFIYQM3iCTgE69uBhu65lSpu/yG93aED/Sy+Haglry06hmBvags7xcKzOKza2Z2GZ/Hc86py5wtp+tlbwlUVtxQmz1Rp9LPYogpfPNTMU6ni83b4JJUsQr1p+tHVcTv19pgRA8kYP/5glGK2oIRa0fw7upE+Tk/LQ+FeLOx/AqUG5jJFewcacsfnHMsvAACbjxwl/ZJCdZ25dqLHENWNyku4klwvP/ZdZJFYnPqVW/v4DSLt5Gm93TWY7heH2AFoBUO+HzsmEYUhSaOuvx2Y5bt2kf6kQYPq/dqWhiXZ1iTkLgiCIAhmgDyhC4IgCGaLhNwFQRAEwQyQG7pwXfoHBhrsH0VpOXsg7QqgZplTO1vbWrflYAsc1+ZTzlHrFLZvpSdlGNzvtIlK8z/P9NXqKnoBh3dVJT5xuUkAgLRcqtUPClMlHI+x43Nl9pHRPWlqTcx+ZkWrrFKpP3OYbsttS/a2SkvckZpKxm7p3Zv0+3ZVVqTjOdQixNcH4DStwcjudr1j4KU3MWWVSl/PvUCtXbj0JwC1sXHN/Fx+Aem7OKrXWrPzlJpNz0UEKqfp2I6uSeClV6MGqHS5XL/m6ww2HUzS216duK2SWhxLy9U8cEteGCsjilPiOjnSUqu87O2eEypNcyQrT8vTEePUurwUMLeQFqL1LWv27ydjo3qEkT5eqzEyjI7x/f6E1qWcTKfpfYvZ8d4/bKje3pJMbZYj2Pv8EB+vt53ZuhNuY/xktSpPPKw/TY/cqpHiLIIgCIIgtCbkCV0QBEEwWyzoAV1u6IIgCIL5omkmsK21kju63NAZdZUnNUQe0vEymEZmaD9cX7/EfN5YN995/DgZ27olkfSDegXq7cl3jiZj25KPkf7ukyf1tgvTJJ3dqXaM9bdK5uPmqVVxCc+zrCykA0v9iVO/cg3VmR1TBZon7uvNL6AaaiHysPu7U+9zIfP5lyK/uI8r1YO5d7sNWvvAPfXneepPD3XOuW8+B3nNnZ2pT/pyCZ2HdOS/7tCerkHw7uhK+tiHXsGuqx6+tNwnvpZ6M48y18nxeRrQhWrS3Nc/rHcPvc3P964TJ0gfp09NZSlOeT4GfM4vsWulLfu+DUL+8a5srcNplgIZXw/8et2C1gMAAEwZofTrzUy/5qlf8bngGr81u369kAef+855ueLOPTvXuh+u61dWqGuA/w06ykrx4jwaQutEbuiCIAiC2SKr3AVBEATBDJAbugXDw1I4Xaq3qysZw9YzgJqWEUxxGQ2jt7NXIVgeYufVlbA9Dlfwurpfao26uVftdpNSVuFpV7Kyc43r25eM7T+VQfo4HNrNi6Y8PZ9HbVcHUUU4XvGNh6l7+qkwsA+b3zRWdcwd2ZZwpTgAgPEDI0l/Q5IKlfI5yi+m6UjPoTArtxcdZtXtLqPzGOxBQ7klLEyNw9Y8rSmGV0Xj84CP14dZxPhnw7KFDbOt8RSo+I8UD29ziaCsRL1PPpMhOPh6bsusfLf27UP6OEzdgc0Dl0Yqq5Vt8XQetb9NHjKY9HHa1QuXaSi86Ar9vuHz1K9zZzLWyd2V9HenKTucC6t0tyOF2iOnDh2it7mU90fiQdK3sVXhef65Zz8yGerLd1u3kf4Dw4fpbR669w+lMktd9lmh5SM3dEEQBMFskSd0QRAEQTADLOmGLollBEEQBMEMsPgndF5S9NV5H5P+LdNu1tuDutIUjLisKQAtr8rTwmLNnL9v8mlqH8HaGwDAxqNH9DbX/4pZH7MX2dIAACKZ3Qjrr9xWk8NKeOL1AjtTqXUuMozq+tjqVYHStQIAhPnSdJ44hWvN8pm0n3lB6aZnmPXIntmjuqO0oVyT5FYfrEvvYXPGsbVWWueR06fJmC9LG1qG1iyksVK22M7FNX1nR3qtHNityn1WRnQnY05M68brDPg5PcKuM6wdO7Cym/wYArzV2hJu5eNrS3Ba03K2buOPw9QG5o/mzK8jXR9w7CxNVYvT8FaWU0vexqO0JGooOv98bcPxs3SNSjcfb73N17Pg8w1A19i0saFjfD3DbweVTn7xMj3HI/vR9MNeLuqzJZ+hJXJXJCSQ/j1RUVAbo3rRVMpYNzdGi6+LQ2htiTFlWZuFagBoaPnT6ro3aQlY/A1dEARBMF8sKeQuN3RBEATBbLGk1K+ioQuCIAiCGWCltZZYAqKoqAhcXFygsLAQnFl5S1ODNSg7R5peMnbqX0gflyrsGxBAxrjH8+Off9PbT9x5KxnjJVGxBpzC9LWeAVS/wt5Y7m/m5TO9XFz19pYjVIPkJSaxL5mnBeXHizVV7n1PO0O3DfFX88LTefLymWUolSlPKbo3PZ308We3b0MDUbi0KgD1/XMd/BxLBYo1X+7VzmOaNU79ybVZXGqVa6+8nGqwr9J4+XoAXrI1NV1pm/5+NF9AJVvPgFOi8jK3PJ0r1ot5+VxephVfH/wc8jnD6yLsWV4HXsIVr6ng1xXPH4H/rCWya4OXz72Mzg1fd8C9/MfOqe8fn/uo4GDSx7ItT3nL0/Lm5xbo7ZiofmSMnzf8PSlk3xleytbfTV2v3/+xhYyNjY6A2uDrgxqDxv47fm3/73z3X3BkOQOM5UpJCfzfA/c2yT2nIUjIXRAEQTBbLElDl5C7IAiCIJgB8oTOePiJV0m/93CVqvLZKRMMvvbUkVN6e3TPHga2BHDqqOxFy3ftImM8pWwfFL4f3oOmJuUVqrCN6ZeEPWSsYwcaKqqsUmHVmD40DHnqAk2tiVOKOrDKVvx4D55QIU4nZxr2x+FjjisLi2FLGwBANfpfchALseIKbwDUmsara7W1p8eP7XI8/M3fB9vPeHjejx0DttZxqxx+n0AW3uSVw3CYmofCy1jotluQkmAusvA8l2BwSJtXeIvu3o30L1xS6VOz2XlxYaFn/D5csuCpa3F4noew+dzj8HwvP1o5bs/JNNJ3cVTXEg+F/7hlBz3eTuqYuntTmYJfD9FdlUWTV0k8nEVtjPi7yCWinLNUTnD3UtcSTi8LUDMlLp5fLjUEe3iQPpaT8N+c69EUYfbmQKs2QfnUhtremgi5oQuCIAjmiwlC7q1lmbuE3AVBEATBDJAndEEQBMFssaRFcRZxQ/9k9e+k/9fxY/Q2TtcKAPDFx/NIP+7IEagNrqHdPX6U3j5XQHXG0/nUijQkVGmUF4up1pnJ9OtqpJtmXqT74aUsse54U1+qi+8/dYr0/ZAGbMU0Xp6yE9t5hoWGkrEr5VRndPBXViWe1rSsku4Xp9asZhYhJ0dH0r+IPitfO8D36+ygXlvI5pdrs/gYuZ3oUFoGPSa0JoDbibjlic8pxg6Vy8RlQQEAnNnnxjYxbsHjujMug9qBrUng+8V/pHr4U036LLvO8BoArgfz84RtVZ2cnWodA6Aa8NEzVIOuYrplaYXS2/lcDwmhmj9eb8HthBE96LY4DfOJHFqyl5fprUTfRT5HvFQsXt/A0+PyNRV4/QifswOnaMnhy+ja8WAWqqNnaHrftFy15iMzme4nPJCWisWpjHuyNQocPGctXXu3pBu6hNwFQRAEwQywiCd0QRAEwUKxoNyvckMXBEEQzBat+upPQ/fRGrCIGzrWzAEA1uzfr7dv79ePb04Y3bNnrWPcf41TTHKNjGtSQZ2UX/TCJVqyk+s1O48e09u9uwSSMV4+E5f/5GkgcWlNAIDtx1L0djXzN3f2oDozTu95mmn8h1JZas0Bak65bsvXB/ggbbGolOqrlZeptozHA9yobudQRXVdPIcDu1If8hGmM/ZG5R8zmS7eJziQ9LE3np+ni2w9gxf6bDyFqI21uj7KKqhuz7mC1jNwDZqvHbACtV+ur3JPNfapcy2ev/Zyae1lenk5VZwTID0vj4zhtQMAAHnI3+7jSq/XcnYuDJHEStliuGe9iM0hPv8nc6mGPqw7LVd7AK1DwWl2AQB6daPliTPzlM7s3dGVjPHUtbjc64/b48lYZCgtT4zLleLU1AAAPfrT9QF4DYBPMM0Bwcu/4hTOdWnoLV03x2hgAg0dWscTumjogiAIgmAGWMQTuiAIgmCZWNIqd4u8oRsKsyedZmE0P/9atgT4ftt20h8WpuxcO1JSyRiubAVAq63dOjiSjHVgVhkc5jvFKlDxdJ74tTyM7sLC34O7q1BeXtElMrb/KK0ONTJSpcDlqVR9vWl4HoeleWW2TiyUi+1FPPScl19A+u4dVIpWnlLUkVmp2iA5hIf5uW3t1HkVFm5vTyUMXt0Mh6K5hYxXEquoUp+H/0EoLVdjLm3psfOQMLa/8dSv3qhiHgBNy1pRR8ga29p4mtgrLCSMK8fxcDG3x+H0uI4sjW1OEbVzhniqVKtclii8RK9JXI3NjclH/FrHx3gCHQ8ArUjIt+VWwyx27ew+rOSvDp1cyRi3PHb1pt95st9sKkVgeyw/huPMoonnd+Bgak3l1++x00peig6j8kGIl1etfW5/49UixbbWMpGQuyAIgiCYARb5hC4IgiBYBpb0hC43dEEQBMFskWprZg7Wf37buZeMJf6RSPqfffiy3uZpYu8fNpT0v920RW93cKUa3097aCnTaWNVmth2TPf67eBB0r9SquxGYX5Uy4oICiL9d7/9UW8PHhxOxnjpSqx1c/23Txi1eh3OUmsL+HqAPUfpeoHsPKWxDwyjlpvM81STDPNVdh2utw/pSUvFYj27Qzuqg/JUu7gEKdfBeVlW/Nm53bCAvRan5cwp5KleSRcc7ZQVjFvGcMnWrQkHyFhkP1p6l5dTxXBr14WL6rNx61kWW/vgj1L/urGSspdK6fEeSlYlPcNCaMrQ40yjxpqqLdPFe7M1KVjnT2OWMS80RwB0vQW3CNYo6Yp0cj5/eG0DAE3LzNekVLMns57d1PeNX1f8HON0r3zdCX/gw3MW4kW/X+5O9DxiTZ1/p3n5VHydVZvQTM1T2QotA4u8oQuCIAgWggVlimv0RXFvvfUWWFlZwbPPPqv/rrS0FGbOnAlubm7Qvn17mDhxIuSw/+ULgiAIQkO5pqE39Kc10Kg39D179sAnn3wCffr0Ib9/7rnnYPXq1bBixQrYsmULnD17Fv7yl7805qEIgiAIFsi1B/SG/rQGrLRG+q/H5cuXoX///vDRRx/B66+/DuHh4bBw4UIoLCyETp06wdKlS+Huu+8GAIBjx45BWFgYxMfHw6BBg+rcd1FREbi4uEBhYSE4M53wejw3933Sf+bp+/T2XpSuFaCmPnwwTY1fzCkgY56BdNv+gYF6m5eY5B5b7PPkaTdLmJaM/eOXWApOXrIxHZV/3Ps7XR/w4KN3kT5+3zQWIeFaIj4m/llc2lJ/e2GJ8lFzDdKepcvFuiP3FvNLE+ux+07S8xbQiXph7dD8c38w93l3YJ8Vw0vkYp2f+5n5fi6isqy2NnTO8Boba6a9l5bX7gHnHmXuS8f6sI0VfU+e+vcs8vJ39aTaK1+TgM/b8Rzqi85MprkbBkT10tt8ji6ycrr8mOgxFJA+1ou5fs1TIOPzxtdmGCpry6+5LLbmw7W9OscBzH99mJU5xXkeMvJo/gieNhqXg63L143nkO8Hr4sAADiM8mq0saHbHth9lPTvum2E3ubz4MnWM+CUvrsO0P08OWFcrceOMfbvuLFc2//8D74AB8e2db/AAKVXSuAfTz/caMdqKhrtCX3mzJlw2223QUxMDPl9YmIiVFRUkN+HhoZCQEAAxMfH890AAEBZWRkUFRWRH0EQBEGoi+YMuS9atAgCAwPBwcEBoqKiYPfu3fV63bJly8DKygomTJhg1Ps1yg192bJlsG/fPliwYEGNsezsbLCzswNXtkrS09MTsllGpGssWLAAXFxc9B9//9qztwmCIAjCNa7Z1hr6YyzLly+H2NhYmD9/Puzbtw/69u0LY8aMgVzm5uBkZGTACy+8AMOGDTP6PU2+yj0rKwueeeYZWL9+PTiwMNiNMmfOHIiNjdX7RUVFRt3U//3aM6R/BFVm6hsQQMZenbOI9Bd99JLeTkXViABqpjHF/4vbeOAwGevbldrLzuaqUF7/btQiZs1C2jjkykPsJ87SYwr2Vukbq2Joiltu18IhbCeWFtaOSQYVKLRrx6o0WbPQLg7P8bSVhSxEnJGmzkW37oFkjIfn8THyOTJEG7YfHgbGIVj+P3F7Ng+4X1pBQ7klzLaEJQ2eSpW8P9AQMJdgyHuw8LErC/Pjqmg81MxT4OL3uVhMQ9j8s2Frn28HGtb1iKLfg0p0jvk1x9PlFhBZgl5X3LaGrWo8bJ7Lonb4eHm4mM8hPudr1mwlY8NHD4DayGPv2d2HVjPbnaYqH3J72cb1CaR/719UxJJX1OPXKz6P3BbIJYL7hgzW20dYRbqxj0wm/RUJ6ph6s7+vXE7C/bVraQps4SrvvfcePProozBjxgwAAFi8eDH8+uuv8OWXX8Ls2bOv+5qqqiqYOnUq/OMf/4Bt27ZBAZOd6sLkT+iJiYmQm5sL/fv3B1tbW7C1tYUtW7bABx98ALa2tuDp6Qnl5eU1DjQnJwe8WG7ha9jb24OzszP5EQRBEIS6MGXInUu/Zew/8dcoLy+HxMREIi1bW1tDTExMrdIyAMCrr74KHh4e8PDDD9/QZzX5DX306NFw+PBhOHDggP4TGRkJU6dO1dtt2rSBuLg4/TUpKSmQmZkJ0dHRpj4cQRAEwYK5ukq9oTf0q/vy9/cn8u/1ZGUAgPPnz0NVVRV4skXWhqTl7du3wxdffAGfffbZDX9Wk4fcnZycoFevXuR37dq1Azc3N/33Dz/8MMTGxkLHjh3B2dkZnnrqKYiOjq7XCndBEARBaA6ysrJIhNjegDxmDJcuXYIHHngAPvvsM3BvQPW6ZskU9+9//xusra1h4sSJUFZWBmPGjIGPPvqoyd6/Cmlm/3ztczL22ttPk37yWWUv46k0U9n/tLxdlVY3JiKcjG06Qq0dXXyVvMA1M15yctHb3+nt2JdmkDGvjlSbw5YsG6ZJcr0NW8q4Xn2SLdzA6TOzz9M0lh5u9BiOHVHa4cjBVMfnNrBiP1XKtC77HtaHe/r7kbGkTGqdwmsJuC5uZ0vnBVvn7G3Z2gF2vFzPxHCtHu+Xp9bF5T4rWfpWBzt6DPtPZujtngFU2+TpRvF55DozX3+Bj+Eys0O6tm1X67a8VCm3x7V3VNcKtzjWsGSi+cxmMhy3fmKNPb+Ypn5NPXyS9MMjVNrgM+w9ud7uh6xet91GFyKdZylmL6Ayw8cSjpGxKZPHkj62tfH0s0NHRZA+/uxcb9+Vepz0E9YorfvDt18gY19t2AS1YcieCQDQ3UelYeZzb4jsjOs/cbYUTFmcpb6Sr7u7O9jY2NRImFabtJyWlgYZGRkwfvx4/XfXvme2traQkpICwcHBNV7HaZIb+ubNm0nfwcEBFi1aBIsWLbr+CwRBEATBBDRHtTU7OzuIiIiAuLg43XpWXV0NcXFxMGvWrBrbh4aGwuHDdCH1K6+8ApcuXYL333+/3ovAJZe7IAiCIJiY2NhYmD59OkRGRsLAgQNh4cKFUFxcrK96nzZtGvj6+sKCBQvAwcGhhlR9zdrNf28IuaELgiAI5ku1RlMz3ug+jGTSpEmQl5cH8+bNg+zsbAgPD4d169bpC+UyMzONst/Wh0ZL/dqY1JUykJcf7eFLS45+8OEPevupmdSLWcn0Qaz5cQ36u+/WkP6IcWqVfgRKAwsA8NqbVKv3CFCpNt183cjY9p+2kX7v4SoX/vixtGQrL4mJ9eENq3eQMf4+I4f019tcM8/PLSD9IaikZ3kl1Xy5Box10wtMg+RpYjdtUulpuTZr35Zqvt16Ki+/QxuqSfIUqFiHLGUaKi+RevqiKp/JPcvcc4+/LrxkJy8pidczdGzfHuoL/ywYrklzDd0G5ZEtq6D6v6EyrFzb5tvidR3nL10iY9wLj78nZWwNAv9zg3X+UubV5154vL6Br8VIOUHTrnbyVtd6T/b9Tz57lvR90bXC55OnWk7ak6y3Y2LoIl6uzbdFJWl5rgH+dwaft8usdO1hlqK1S1+lpfJrOYx91uU/rNPbjz1EUz9/9991pH/HeJX69dP/LCdjXKvHHMykc+/CcloEduoE16OpUr/O/ufH4ODgWPcLDFBaegXeevGJFp/6VZ7QBUEQBPPFFNXSWslzb6OXTxUEQRAEofExyyf0b/75A+lXsZBw6MBQvf3eu9+RsYefvJv0sZUqbvcBMubdhaZ6DPVW/S3HqKXlXDpN0frYrHv0Ng/z3RJNLS3fLv31uscDAHAi9RTp9+3dTW/HjB9Cxvh/MnE4nIeE9206QPqRvdR+ebUyXlGtvYM6xlNZ9HP7+1HLhpuPsgz17U5tGTxci0Pyp7KpRODnSb2b5Sh8W1fYF1eWa8NC2ofSMki/X0gXve3MQos8ZIznlIe0HQ3YgritDkscNqw0G7cX4RAsl/24re7CZRU6b29PbXVc26tA3yF+DfLrAR8DPz6+LQlLs/Axt87tTUrR22EhgWSsklWou3xJpZTdf4p+R7p70+8ttuzx78GJU2dIf+RNA/U2lz94ql1syeNztnr1FtLvN6S33uaV4+wd6Wt5SlwMT+/a0UvJCTw83z0ihPSxRfPxpyeRsTc/XUr6U/9yi97el5pGxmbEjKr1+JqD5ljl3lyY5Q1dEARBEADghour8H20BiTkLgiCIAhmgDyhC4IgCGaLhNxbOcuWvkX6B5iGFjvjZb29ceP3Bvc1acqLetuhHdW2vvn8H6T/3Nz39XZlOdVtn5j/IOkveOljvT39/6aQMW7JmjhRVew5wCwiJ/afIP2ju5St5iG2HoDruHZIUz3N7G+XL1K7GS6RODJmIBnjmu+aVUofdPel2nZBSTHpR/VWKTp5+tZ3Zs0l/ecWztfb/p7UCnPoEE2P2at3V73NbWDcOoc16gq2bbcAagMqq1RaLdeHsR4MQG1jvNQm1kENvQ4AoKBElTbl1jgba/qHJh+ti+CaKU9ji1MZ51+m56WyjNq1XByVHlyl0Tnidi18jHuTUslYaFdarrgUad98Pz39aHrfyF7d9Tb/A4vXjgDQa7KKhUv5NYhtYjy175A+PUg/BZVQPpGUTsYc29O/D1iPP5qaQcam3kvTxOLPnpRC09hOuv0m0v/061V6e/KkMWRs9y6abcyhrTomfzdqWz3HUu1iyyZOhwsA4IQ0cwCAjz9dobfve+B2aMlY0g1dQu6CIAiCYAaY5RO6IAiCIADAtfqpDd9HK0Bu6IIgCILZYkkhd4u4oYd37kz673zxmt4+zkqghrDSdrGvP6q333qBVof7cfdu0se68+PP30fGvv/yF9KfMPNOvb14/ldk7O7nqfa96QdVEvHZ2dPJWNEt1LMe6KlSyv7w7a9kzDuIfrZ+kUof5OkaR0ykZSS7/pl/GABgbzLVq3t2DST9kktK8+3dpysZS8+i8702SaWnbetM9cs3vnqX9J3QMaZmUL+tqwf15rZBKVv376WpM/ui0poA9MvKy5xynXzfMbVmYWDP7mQsr4imRMXaeDd2XWHvM08LyvMSYL2d6+J8fYCbk5PeLme++ItIiwegawe4fs1LeOI5Ss/LI2MVbL1IWw/1ufkfwr2J9FwMiOyptwvy6TF8uGIJ6U+ccZt6D+br5imG/dDxF5XRz53BciPgtTEXHOh+D+xPIf1+/VQOC5+uPmQs0IOu63jxoTl6+5l3/0bGVq3bSvrDh6o0zIXn6Tx899PvpP+/L77U2689/zAZi/ehOnl0L3W8ry2iOTdqlIpFKX25hs6vybdeekK1P19GxtYCZfYjk0FoGizihi4IgiBYJlr11Z+G7qM1IDd0QRAEwWyRkHsr58nYf5L+R++9SPrvzvtMb8+c+yAZ+20rDaN7oqpoWVnJZKyLhwfpr1v1rd5+4oWpZOyXpTSsXnRBhdVsbKjZ4MiOI/QYAlW4O/PCBTLW1YemscQpJu994FYydojZYX78fLXedvWkIdaxdw4n/T1HVOixV7cuZOy/39DQ/tA7ButtW2tqaXPtSCsVnTqSobeTtieBITqgNJZXLtMUon6BdB5wiNClEw3H8zB6NrPvYM6yVKXdApWVilcdc2NpQ3FKXJ4eF1sIHezo8fCKbzilLE83erGYWrDwZzueRauKtbGn77Nl3S61n5yLZGzQeFpJLKCTsh/mZNC0u1xWwalAe3YPImPbtiSSPv5DWVVBUzTzYziepmyNWceoxbFzD2qHSzmopBGextazM/3ehvkpa+LuQyxlcxoNz+dmqs8e9z8qo427j0pldzys0qduXLaJjN05Yxw93jPqXN00IpKMObLKd9FDw/X2T3v2kLF7R9B0z9iyy+2mew5TOaGiTF2TfM7W/k4rN5aiSnM8pD733S+gJWFJN3SxrQmCIAiCGWCWT+iCIAiCAGBZT+hyQxcEQRDMFrmht0IykJWGa+ZcZ2rnosoycn3qjlHRpP/bzr16e/x0mqL1l182k/7wmybq7QfveJCMLf3jR9K/e+R4vf2vFVRf5yUcl37wk2ofoWls01Ko7hzSo4/e9uzsScZ+WfIN6Q+5SaVs9A/1J2PvvvgR6b/872f0NrewuPtSq8wVlErzUGYOGdu5aifpj7h3hN7OzqDb5mfTdLRY5w0dQC1jZcyilZacoY63gOrMXQNpStGiAmV5KrhQSMasmJaIS6aeLzKsodsi6xzX23F61ApW3pdb0bAFr5xty0ttVqE/PMWF9HNnHqXXDv4b1Z3NZ2kxTf26+6S6zlw9XcnY2QtUf79ySa072LOXrgfh6ZMPJSkL5KmjNK1xWydqpezkr2xh3sF0zcTOn+NJ3zdE6eJh0dSmmLSNpkc9vk/p7QFh9HvQ/+b+pP/FXJSy+cUnyJhDe3q8eL75eoA92w6S/mF0TL7zqDU1j107cau26e1J99N1MnxNxe+/qG3bONA1FJ17UDvvX8erNLJvf/VfMta1D1030z8wUG/vPE5trFMm07S2QtNhNjd0QRAEQeBYUvlUuaELgiAIZouE3FshK37drLfHjKbhrcggap0pnTxSbxey7Fk8NHopX/WTttJQ3Y8/0kxmbm4qc9TitSvJ2KI3vyX9t374XG//8c0fZGza0/eQfq+hKptW3mmapav38N6kfzxRhb/G3zuajJ05TrOrRd+h5IW8LLrfkP60etXBZGVFqmb/W13/wxrSd3NX4U6PAJo9KyQihPRPobAkt07xYypDGb/Onz5PxnA4FgAg+6SyGwX3p7aqn5fQzFtOyErHv7iVrPJZVrIKCzt1dCJjpSU0TO3krKQdP1bpKuO8On4eqr/ErHKVKARfwK5Xe1v6FS4qUa/F1+7V46WWwQpU6YyH5y8X0MxrNqh6WUFOARlL3UMrqmHyz1Gb5SVWxa/3MHX9cisiD89boSx5u1bvImOPvkhtoilp6jxdOEOP4a5JN5N+6hl1raQdSCNjN48dTPqRN6nvjKc/tb/t+YNa8vD3trMX3ba8jEpEI0YP0Ns8xL7xv5tJH0tI783/nIwF9aZ/6xyRDDBu3FAy9scGOoeHspQVsH0Hdk0W0etjd5qap8Eh9DvNM8dhixsO1Qumx2xu6IIgCIJQExMUZwF5QhcEQRCEZsWCiq1JYhlBEARBMAfM5gl9wlhVOciO6YpcF506VKVHxLoRAMD5S7TSUcwolS6xW59gMrZnzzrSv+UOVWHtk5dpZbaTJ6lNJW7dD3rb3p5WGfMPY2ksE1SKxg7eNEWrqwftB/VRGtqHf/+SjA2/h6ZzxWlMeUpWN29abSmki7LznDh1hoxNfv5B0j+H9Guur3btR/Xsy0i7PXeGpqbt2IFak2xtlcXwxCGathJXeAOgqSv3r99HxuyZNov1TJ7ysq0TPTeF55WtjVu7CvKo5c3WTl2Hp91pOtcK9J4FuQVkzNACHK7b8+O1c1RzVM0sblgz5+9bVUm35Xo2tjjh9KcANeehrETZFh2Z9ayavU/iemUL7eBBr7kTB2mqZSdnda3bOdKqaHt2U/tmr37KhpecRHXxZV/RNR/O6NykH04nY/t93Um/EqWnXfc1XYvhzM7xJ6+8r7cHjKSVzaxtaErkQH91rR/aQT9LJatmNyNWpZT94ZOf2bb0HFtZq/mvZnbIvgOonS8PVdzj6y+enEBT1WL439BjCTR9bnNXW7v6hN7QRXEmOphGxmxu6IIgCILAEduaIAiCIJgBlmRbEw1dEARBEMwAs3lCv4JSf15haUDXb0og/bJSVSbwvruoJzX5DNWHS1BJwW5eXmSstJR6M599UaVsPMx0pcguNHXi0L7Kz4q1YQCAkkKqB0+KVWUZe/r6krFth4+SfjHyDz/80v1k7Fgy1QdzCpXm64VSkQIAbP+ZlkvE3nNeEvNoagbp49S67VzbkTErVir2zHE1366u1Kvr25WmaA0OV2sYEv+gurhfCJ0XTFUV1Q6xnxkAwBodUwXzB3PNGpe97TmkJxnDpWABADwD1fXi5Ep9vV6oRCpPpduGrQGxRTp5JdNB8y9TXzcu08q95DwFLj5PuDQtAMCJRJrOE89DCfMk92G5EIqL1PV7aPMhMhbEUoi2dVZrFA6zPA+2bej3oqBA5SXwdaXX4MmDdP1FG3v12n1sDUVW+gnSLylR5/SReU+TsS3/3UL6jmhNRfhN4WQsvA9Nn7t66dd6+/f/0TKsly8XkD7+HuzYRnNYDBhwG+k/OfERvX33Y4+QMZ9gH9Lft0F99k+SfiBjF85Sf/59s5XWPWvqnWQsIY3O2evPvqe3ra3p9frzzx9AS8KSntDN5oYuCIIgCDUwwQ29tayKk5C7IAiCIJgBVlpriSUgioqKwMXFBQoLC8HZ2bnO7fdlZJA+rlD105rNZOzgJmov+2HJAr391YZNZCx1L7Vk5Z9T1cFumz6GjF3Ip5amiO7KvvXHRpqC0ZuFzaJC1LY3DRhFxh5/+WXSx6HGQ1touHPguAGkv/d3larynpkTyNjmX2jI/YEZd+jtl59cQMZ6DelL+jj8XZBLP/eomIGkb4vC3Z//ezkZixwTSfoRPVWKydwiai88dYqGNLGdy9GZWqfOpFJZpYOnCjdz+1uP3tRml3U6W29z+1tXH2qzu1yq7FzlldR6FNRJparl6YY7GbimL5VSO1kpsynhkLxDG1pdKyufhljxPHgGUTmphKWCdUD2M2xLA6iZotUGWbLs2tAg4KljtKKafVtlP8NyBgDA70t/IX1Pb2Wdw+cMAMDZjc4ZDmH7dKXfpxP7qZzQDqXoHTqR2ssObaZ/D1zR+95yB932u/dX0GPIUJ+1xwAqS6xf9RPpz//iX3p752paOW75lx+S/j+XqeqMP75L3zMlhcqLv2//VW+//vdPyFhBXgHpl6MqiWMfolXcXD1cSb+7t7rWbZkFr48/rVhXG8b+HTeWa/v/67Ovg529Q90vMEB5WSl8svCVRjtWUyEhd0EQBMFssSTbmoTcBUEQBMEMkCd0QRAEwWyxpFzuZqmhnzpPS2t2dnevsc01jjKbWuYFqjMeOaT0tlFDI8jY0m9oCsnb7rlJb5cxzfRcLt2vn5fSULPzadnQDk7U4uTSVlllSpklz4fZzT7+QJUufOo5WlLy/XdoCdeSS0qPxaUeAQACwzqTfg4q2+rmw9LCelL99cxF9XmYQ6wGJ1OUvc/dj54n746upF+J7GftHagmlppJz2OIv9JNi1g5UjyfANQ2ZstSqV4pLyd9fF65jZFbyvBXy5bZ9aytkFWOpWjl2jfeD7e4lbDja2evNOlKtl97tt/te5VNjOvgXfzpeoAjR1X61OAQmprY2ZGuUUhKUfZIdy96rfC0pricbjtHegx8v5+/+b3eHjFpBBkLC6HXK04Fu37Jb2QsuBe1l/Ue0Udv81KrfE0F5gob63dzf9IP8vLU209MpPayYTdTK9qOOJVG+pP/0ZKoPy2hKaZXfqvGX/nk32Qs7rsNpH/6lLLzde5KSyK/8voTpI/Xncx+6h0yZu9ALYR4HcWKFf8iY8fOniX9UB+6huEaTaWhPzLrVZNo6J9/OK/Fa+gSchcEQRAEM0BC7oIgCILZIollBEEQBMEMkBt6K2fL4SOkH+RDtU57lFpzYDAtibp2w07S7+SvtO7T+flkbNCt1FM9qkcPvX3g1CkylrBlP+lnoDKNY8fTsqYXWTpPrPleZsfAdcYZT0zU2+l5eWTs/if+QvrrVm/V27gsJABA1gmqSffqo7TOlV+vJWNBbL9+HZVumnKO+sODPWh6V7cIlVK0imnQJ7KYFheo/K3vvUw9tU/942HSx1oyLzHKS+R2dlfnuJytUXBzoqlf8fjlMlo21N6WatQ4DSvWzDlct+d/PCqrq2odw58TgGr8OLUvAIB/R6pnd0Qlcvk6k7Rz2aTfs4f6nvBrLvk0vVZw2Vh7lsb2Nnatn8jO0dvcq9+WfbbnXlU69LyZNBeC2z8eJf3uqNRxVRXNCfHFW1TzBWu10KPX0F5k6KaeUaRfhs6/E1vHwdfNfPfR//T2Y/P+j4wtmvs66fcJV2sCVv7wBxnjJVHXbldrAv71Bi2R7NWFrn0oQvkvvvn8H2Ts/uk0h8Wo+9QaIOzNB6i5lgDr5g/9le53/hszoSUhtjVBEARBEFoVZvmELgiCIAgAlhVyN0vbGofb2DCFzNLEw7HBHsp6suUIrWwW3oVWfFr9q6rM1HtgDzLG0yEmonS01szbtX5pHOnPel5VTavWaFg6hYVGO7u56e0sFp7vwsLdB9NU2D86jFp5vviSVnz6y6Rb9PYHr9Iw39PzHiL9jZv26O3u4TR1qk8HV9JvY6P+T3k06zQZS45PJv0xKNWmPUspylPBfvvmUr09+20aAixndi4bNP/cesYrs9mhNJf8q8NTYOKqf47MMtYGbcvfE6eMBaA2NhsWnucyBR6vruOrjW1t/Ni5vFRSrmxKXdF3AqDmd8gVSUR8ji6W0NBtRqaSVby9O5ExLndwGx7m5Bkq7RzepmxroVGhZCysC7Xd4VB/+hn6fQr0pZ8144ySCP777lIyNmLiaNKPjFbpXhN3UbteJkuBW4ospFvjfiZj9z9NK8DdNUGFxvn8vjOXSlHvL5qjt9fuo7Lfrp9pitmP3ntRb/N02R//awnp44p7S759E26EprKtPfjXuWBn10DbWnkpfP3Ja2JbEwRBEASh8ZGQuyAIgmC2WFLIXW7ogiAIgtkiqV9bOMamfuV2mA0JSkt64k5aJjDuCLW8JR9TOnMxKyn54kOTSP9gptLF2trRVIm7T6SRfk9/P7295ygtw+rnQ7VuD/QZ3drTtLBcv8Ra8iO30eN7/bvFpO/rTm1MGF6W80KRKvHp40Zfd+QI/Wy+Qco6w61SiUn0s/bvpexwZRX0PHFd91xBgd52ZelbuZbcsZ2y3XDNnFup8Gt5Wlhe2hSncLUCqq/zNLF4Xzz1K05jy+Had0WVmhdujbtYTK/JDuhzl1XSc5hymtoA8RoQbtfjx8C1e0Njq9coO+QtY6PJGF4zAUCPn68l4Rw/qdIE9w6ldtPEA3S9xYB+YXqbp8u1YRbC5OPKYurUker2nKM71TqaKfeNJWMXi+n6gC1xai1JdgazAQ6hqZZx6djgXmxtzqe/kv7C9/+mt//9yTIyFj2alhwuQGsW/viK2uGem0vXvvz7NbU2ZsxDt5Ax/trh9yqbHS6BCwDw2cuLSH/jxu/hejSVhj7t0VdMoqF/+9nrLV5Dlyd0QRAEwWyxJB+63NAFQRAEs8WSNHRZ5S4IgiAIZoBZaujfbtpC+lZMvxzeIwxq4wJLu4rTp4bwcplMm+0fGKi3F/9CSx5260p96DjdaCHz5v6xYRfph/ZTOnMHpvF2YJo61u5TWdrVbt40LST+bL4dOpAxvg4Bpxjl2rYzK3uZU6j0QEe2lsCOvRanDQ3oRNOP8vfBOjTXYrl3G+umPuyzlTG9WAP1FbhcSvVWXsoUp5F1YSlQeRlU8h7sa4Y1ajtb+jkvsWNwdqhd/+PpRvH78LUD1kyirkJhRF6O9ko5nwd1Hksr6FqB8kr6PrjEL1/bwFPV4vPk5eJCxvj3ApeKtWPrIFJPUF/3wD7Ke17A9sPXoeD92rBJKimjnxVfK8dSaXrn/LPUu9/BS1133brR8q58Hk6iFLhdvKj3na8PCO+jckakZtDcDaP79yH9A2hdj7crnd+oYJoj4rO1SifvzMrn8r+Lqz5YpbfHPERT6z50802kvyNVrZsZ0k2VcG0qDX3qjDkm0dCXfLVANHRBEARBaC4sKeQuN3RBEATBbLlqW2voDd1EB9PImOUNfdqoEaTP0xhmoFAzT+0Z1Immn8Rh9A9/WkPGovtT6wkOLR3aeoiMBXfxI30c2ePWowfvoVa6Pw4c1Ns8ZB3IjhfbrNqwsOTxbGqdwRf5Xmar6xNIQ4TZqHKXBws5ZZ6/ALXR3oGGFrkdCofZ+fHyMDA+3pO5uWTMk4VrcUUwHmKvYseAbWyuben88pAxhtvUuERAQsRsDFdQq2bvwS2PS5ao6nbjJ9JwJt8vDmEv/2I1Gbv3odtJH8sHF5g9j1vIsM2OS02u7WhlLvx5HJgc096e9vG+uL2UfzddDKSUdfei9kgsRfDvVyd2/eLwNw/zO7BzcTxLSUShLIx+zp1eg79+ouxm8da0iqNviC/pd41Qstrit74jYz2iaRppfLx9Q6jFbfHnP5H+yNsG6+2MPCqj5V+m8/LoOGVV251G/x58+o+vSf/HH9/V2299Tq1zHL+OtdtjBdNiljd0QRAEQQAQ25ogCIIgmAcWlCpObGuCIAiCYAaYpW3NGNbspyUFb+/Xr9ZtDZVhBQDYf0rZWHip0m17qKY+YqCyl/Tyo5a2rceOkb47KiNpz2xUNkxnxLott+sMDgkh/cR0ldZ2+fe/kbGHHp5A+ljzPXuxgIzx1Jq4NCjX23mpUGwLu8TS2HJLFratOdpRbb6EHQPWvnlqUq7V4lKs7k70eC8yu44h+56hcqVcb8faMV87wL+STmg9ALeT8RS92CbI549r3x2RfasuKxrW9blFkFsT85FmzVPp8vOEz0UpW+vArx281uESO4a29vQYLlxS583NidrUeMpeDD9e/p3Hx3DgIE1jPGpIf9KvQJ+thJ3/ghKqX+P59utIbZb8Wn/thQ/09gtv/pWM8TVAWCcP9fEhYz/t2UP6kUFKj38p9j0y1ns4tcPNfmQyNJSmsq1Nmvo3sGNzaCzl5WWwfMnbYlsTBEEQhObCkmxrjRJyP3PmDNx///3g5uYGjo6O0Lt3b9i7d68+rmkazJs3D7y9vcHR0RFiYmLg+PHjjXEogiAIgmARmPyGfvHiRRgyZAi0adMGfvvtNzh69Ci8++670AFl63r77bfhgw8+gMWLF0NCQgK0a9cOxowZA6UsjCYIgiAIDeLPJ/SG/LSWRXEm19Bnz54NO3bsgG3btl13XNM08PHxgeeffx5eeOEFAAAoLCwET09P+Prrr2Hy5Lq1mcbWXjBYz8ZaKwCAa9t2fHOd37dRfSpmSATpZxcW6G0fV6qZ1Sj3iDRgrtNy3RFrobbWVOPlXm3sS+/I0mFy/zXWgLlXt09AAOljLzwvG4q1TQCqqfPPxtOuOiFfOi+BmnqOeuzbI/8zT2vL5wz7sR3Ze/Jjwvox13h5qlWsd/NzgXVmngaU6+3Yy8+vDQ72efP1Ftzfjs9jGvP1B7jTNLz4tVwPLmV9fIx8jjo50/KkeagsL88PUMD843jNAk+BzI8JX+tcB+fXL972+KkzZOxcGk2f7Bmk0rJ6ebmRsY7t6HcIrw/g1xHPjdDTT+Wp2JZM19B4sJStODcGL++7JfEw6f91vErLmnWB5ovgfw++XLtBbz9+By0Naww/xMeT/pTo6Otu11Qa+j2Tnoc2DdTQK8rLYMXyd1u8hm7yJ/RffvkFIiMj4Z577gEPDw/o168ffPbZZ/p4eno6ZGdnQ0xMjP47FxcXiIqKgnh2IVyjrKwMioqKyI8gCIIgCAqT39BPnjwJH3/8MYSEhMDvv/8OTzzxBDz99NPwzTffAABA9p9PhZ6etACBp6enPsZZsGABuLi46D/+/v7X3U4QBEEQMA0Nt5tiUV1TYfJV7tXV1RAZGQlvvvkmAAD069cPkpKSYPHixTB9+vQb2uecOXMgNjZW7xcVFTXopo5DcGm5OWRsaLfupI/DfDVC4Vb0/0PYHhMRHkrGEtNOkn5FmQq53dSDppDlqRRviRmkt89cpBWd+vjTcHcmCqs5sdSp3G6ErXXcTpSFUr0CAASj/4DxUB0PYXZAqUB5uJPbgsoqcWUuLifQMCoOs3OrVEQXmgIzF0VxeJpYQxIBD93y9KM4PH6uoICMuTnRcDKu3FbC7GbYHteG2eqqmJzg1l7tt6yCWtF4hTf8WXhKVi6jYIkAh3Gvty2ehwpmh7NmljEMt85lXaDXL7bs8RS4vEre4VO0ohqGV0k7hKqM9Q+i10YOu7bxa6N6diNjJ9xd6TG5qj5PC8ttgXv3qSppt99Ew878b0n8CbUouA2T9rjt8rvVKjSec4r+/Xr8kYmkj8P+/JzuOUn/Jt08SNnuDmbSue7LvjMpqJJjd1bFsbYQe3OhgQlWucONvX7RokXwzjvvQHZ2NvTt2xf+85//wMCBA6+77WeffQbffvstJCUlAQBAREQEvPnmm7Vufz1M/oTu7e0NPXrQ3MNhYWGQ+ecF4vVnCdKcHHoh5uTk6GMce3t7cHZ2Jj+CIAiCUBfN9YS+fPlyiI2Nhfnz58O+ffugb9++MGbMGMhlDxjX2Lx5M0yZMgU2bdoE8fHx4O/vD7fccgucOXPmuttfD5Pf0IcMGQIpKSnkd6mpqdC589VCBkFBQeDl5QVxcXH6eFFRESQkJEB0C/ufnSAIgiDcCO+99x48+uijMGPGDOjRowcsXrwY2rZtC19++eV1t1+yZAk8+eSTEB4eDqGhofD5559DdXU1uVfWhclD7s899xwMHjwY3nzzTbj33nth9+7d8Omnn8Knn34KAFdDd88++yy8/vrrEBISAkFBQTB37lzw8fGBCRMmmPpwBEEQBEvGhLnc+YJse3t7sLevuYK+vLwcEhMTYc6cOfrvrK2tISYmptbF35ySkhKoqKiAjkZUqzP5DX3AgAGwcuVKmDNnDrz66qsQFBQECxcuhKlTp+rb/O1vf4Pi4mJ47LHHoKCgAIYOHQrr1q0DB6b5NhZYQ+P69Re/0/8NPTBalWL95yc/kLHRtwwifaxvWjPda3Ao1eaDkX69kyXVwZo5AMAFlH60X+dAMhZ3gKaUHd5byR2Hs06TMW7fwiVGeZrYMxnUrpN5QoV9OnjT/fh3ohYnbD/iJVC5fQd3OzLN18qK2oDw+gA/9ll4Glasdfdj+nA6Kp8LQC1EHdgx8PUBOAUut5uVMysS1i+xDg5A9eIqlomU28vwegBuneRaLJ5vrplyq19FlTq+rHxqaXJoQ4/BGdkAHeyoHY6X4cTwdRwXWCpdft4w3syuBaB03DP5VIu3Z+8TguS7DHa+7dg8tLVTry26Uvs6EwBarjb57Fky5oX0dQCAZybfqbdPMIkxk60twdZVrpnz9SJ9w5XOf9N9d5Gx02xejiGt251ZU4d0o+sFsN0smH1uDl8b0ZLRqq/+NHQfAFBj7db8+fPh73//e43tz58/D1VVVddd/H2MpfaujRdffBF8fHyII6wuGiX16+233w633357reNWVlbw6quvwquvvtoYby8IgiAIJicrK4us4bre07kpeOutt2DZsmWwefNmox50JZe7IAiCYLaYMpd7fRdlu7u7g42NjVGLv6/xr3/9C9566y3YsGED9OnTx+C2HCmfKgiCIJgtzbHK3c7ODiIiIsiCtmsL3Awt/n777bfhtddeg3Xr1kFkZKTRn9Uin9CxjrcjlZZAHN2f/o8I62333TOGjPH0jVzrwni50P/V4bSrXOvk+tSZHKW3ca9r32DqscWlIQPcaGpKrh1uPJykt4O96f8aB0f2Jn3sHz/OEgBx3Rlr3Z7sc+eyRSU8JSrGmnnAi4rUebNlqUm5loy1eq7bcn97SZnq88/Sm2lm2Od9hWvm7Nx0Qr70UyztJvZYV1YZFvjwH5M2NlS/5msUsG6PU8YC0PMCQK+HM7lU0w32pd5i7B/nc83XEmBd3J1587l3H3uYuSZ9nqUJxmsAuLZ9ka11wNcoz5vA09EeRbagu9gfUb6+BXvwXdo6kjG+BgTnk+japwsZK2FafQFah9AnsDMZ68OuwbMXL+ptrpnzz7b5yFG9ff+woWAIfC74Z+GEom0PZWUZPF5LJTY2FqZPnw6RkZEwcOBAWLhwIRQXF8OMGTMAAGDatGng6+sLCxYsAACAf/7znzBv3jxYunQpBAYG6onW2rdvD+3Z+ofasMgbuiAIgmAZNFf51EmTJkFeXh7MmzcPsrOzITw8HNatW6cvlMvMzCSLpz/++GMoLy+Hu+++m+yntoV310Nu6IIgCILZ0pz10GfNmgWzZs267tjmzZtJPyMj44beA2MRN/Q1+/eT/kUUygvz8SFjgZ06kT4Oae1nE87DnQUlKmw2eRDVSXCqRAAaeuYpWXmVsV5Byq5znoWPeZUsbHnyd6P+RV7FyxWlqs1jVZu6sYUbO4+pZEHdfemcHWH2uO4+Khx3GoUHAWramLgMQI6XhbTtHVVol9vJuEyBQ7JcpshgliF3J7VfXh3uLDv+5FMqvOjjQcP+tsxuhEPEPX196X4L1H55CmEewq6qVueNHw+XeXCY3d7WcLU1jJOT4RArnt9OLIzObWwXi9W54WF+/tl2nTiht/m1UHjlCunj88ir4nHC0DW67zhNccolGBw6//jn38hY12AaPj6HU9eyVMW8+mLfAWF6m8sUgZ5UMsCyG7+Oytm1fQn9vdhXx02gP0uJbAg8v7ziWxH7G4XD6lxOFJoPi7ihC4IgCJaJVq2BVt3AJ/QGvr6pkBu6IAiCYL6YMFNcS0du6IIgCILZov35r6H7aA1YxA399n79SH/5rl16m2vmHD+UR/dKKdXBuC0s5Wi63j7bnWqdvMSgN0oTyTXdo2eoJj0KVa9Lz6OaObeB4RKkTg7UVmMFVAfDeuuZ89T+wrXu4T2UHpjKbGtYMwcAqEB6INevOzO7WSpaW8Df09+Fp/5U8DSrvMwp3q8vy4V8LpfqusF+6vh5CdeKSvo+OLVudiGde17+E5cG5ceH9VacghWAaqQA1L7Hy89yfRUfPr82uKUJr1HgFiyu1WObXSmbe6yZ82O8yPRqXGKY75evi/Bm5x//UcX2TICaZW8vlSr9PTqMpl3eevAI6eO1MIP70VTQfI3NT3v26O2qSnpt87Kso3uqfXF7LD/eqOBgvX3g1Ckyxtff4GuJlypdtovmCe/B1m4YYv9RtZ7hr+PHGNgSoLhMXaMezrV/T4WmxSJu6IIgCIJl0pyr3JsauaELgiAIZsvVG3rDqrO0lhu6pH4VBEEQBDPAIp/QJw1S5Um5Bsm9sLikoEt76jPlpR+Duyu/uA8r78nBpUv3H08jYwFe1KOKSy9yL3Fnd7oGAOuQ3MfL9UzfDkpbxulPAWqmvPRCembOxQIydi6PatJ9ugTqbb7uYN32PaQf3V/pjNx/zz3Mp9BaA67F85wAvAQlZmwkXVOB8wtwnzT3WB/MVD50fi5cmb6NzwXXvnHOAu5R7tiO6sxYCw/xouUYj2fT4g841S4vl8pL+l5AuQfw9QhQcx7wa/m6k417D5C+SzeV5rSKPRnxz9qlk7rWebrR46ywRb/OKiXqugMHyZg9O084DwEv2dvFn6W1zVHlVW/u1YuMrd6/j/Rd0DyNCw+n+2HXKy7TG8Cu12SUbhaApsS9XEbXUIR3DiD9IDRn3Df/xJ23kj72qfdnZYSXbN9B+oZ0c57LA/994/ttaUjIXRAEQRDMAEu6oUvIXRAEQRDMAIt/Qk86TS1iPIweg6wnneqog4vDiVuP0dSJw0NDSR9b56bfNJKM4SpNAAB+t6txHso/xSxvhhgRFlbrGA/P7k1PJ/2zKCTI7VljI8JJH4elAzrRUGM7P2qjwSkveSUuHjbH4c4KJpXwkDve9jxLa3uMVfXqhiyF/Bi49QuHci+w/fIwNbZZ5bH94GvFl53TwivcBqY+C09YxVO/eiILEU/ny1OeVqK5L2CWMV4lz8vFVW/z+ezg7kr6BcVKTgj1prYvPr/7kUWLV2bjNjZ8rY/oQa/lIiYvYbnJm9shmd0U20J52JxXwnNpT6UTDK/4ZqjqWDCrFofD371ZiP1EDrWq4pD7rYNpdbiPVq0lfWxx46HxqUOH1Hp8/G9Q7IO0YIihlM0tDUt6Qm89Z0UQBEEQjETTqk2wyr1hr28qJOQuCIIgCGaAPKELgiAI5ovkcrccuGbOdS9uazMETgXL02NmIAsLAEAnZ6UXcr1q9iOTSf/bLVv1dggra8rTTWIt9JbevcnYluRk0i9C6TGzz1Et/qbIcNJ3RjrkWaaDns6naUIDkUWHpxA9ykqtBiEbFtfMua6Ls6dy7TiTrSXANqwqpvnjuefjHdpRjdSLpR/FaVm7MB2UW/06IBsWt7j1DVA66daj9Lx09qC2MKwtZxcWkDGefvgEKqd7Jp+m8+3G0g+Hon46uz6z2XWFrXR1lUS9tW9fvc1TnlZW03SpOOUpT4HMrXRZ6PNsTzhExrqFBZI+tgluOHSYjE0bMZz0D2WpNR9JaP0HAEAoKxWM1w/w9Ssu7HgxxcyKlnKOpk9u56i+X/wY7hsymPSx3m5rS/9+3X0T1cVXbtkFtYE/NwD928f/BhnatqUjudwFQRAEwSxo+KI4aCU3dNHQBUEQBMEMkCd0QRAEwWwR25oFwct7crDfkmvdk+8cTfpFSF/lGhPX21JPUE0Kw3XnXsiX+tnaP8hYx07Uw4xLbfL35Ck703JVas1bB1E/656TJ0kfa7XcL/zDqg102zB1vNY2tMxlEEtdmpKu5iGsC/Xf8tKP3COM4b5Y+zaq79+R6swJaTTV7pBuIXo78zx9j4w8Oof2KD3tmYtUo+7AUpfi9Re8dCleY+Hjxsq7sjUKZWg/XIvn3nK8X142FvvDAag3/hxbB+HhStcO4DLCP63ZTMam3nUz6eNUxTzdLE/9uhtdZ6eO0/UVXoH0Wmlrrz67XzDVtnv5+ZH+EZRa1Yatk+HlSXE6XV6W948NVIO+49ZhersN2++v8TSt8bBwlUb2DPtO49KqAADJp9XxdvWmn5tjyD/OMZTO1ZAOzv/OPDrulnq/Z0tDbGuCIAiCILQqLP4JXRAEQTBfLCnkbqW1liNFFBUVgYuLCxQWFoJzHelYmxJDaVh5dbDvtm7T2w8MH8Y3J3y7aYveHtG7p4EtAY6gVLY8ZM3BaWR5+NihjR3rq1AzD8fzKmnYfsbDx/yYcHiWW8RSz54jfVdU7c6Nhf156to0tF+eFpZb/y4jqSSZpYXlKVBdHJUdilvnTubSFJ1h6LPyNKbYVoXfH6DmZ8HpZyuYRFTGQsS9URj1NAvzlpbTinrYbsargW1jqYvxHJaw/XAZ4OAeZcPrGdGNjLk70fl0b6/scDw8n3qOnn9PdH3wOeOpX7FlM+7IETLGbXb+SPK4xKoD+ri6kv5FJFvw4z2eTa1o+PvFK8lxK+WhrEy9XVRMPwsPsa9PStLb3di1zP/OGIIfL67MhitSNhaN/Xf82v5HjpwCtrZ2db/AAJWV5bB58w8t7p7DkZC7IAiCIJgBEnIXBEEQzBZLCrnLDV0QBEEwXyT1q+XCU70aUyYQp/7k2ivXts6kKpsK0EyUsGxXPOlPGzVCb+O0jwA1Uz8ODlEWLF4m8od4ul9sY0vNpJYhXtL1459/09sjIvuQMUc7qqFvS1IaKj52AICVe/eSPrYb/fLHdjJ2+81UO8S68yWmmaYx/TrAHdvs6LngJVGvlCvdlOviuGwoAE21m8o0SD9mE8P/q+d6JS6fWcg+C9dXseaLy2EC1LTK4TULfI7KKqnejtMe89SvI1mpXWy74usieJrjrn26QG1w+97WQ0rfHsPK8OYV0PSzOKVsCtPXQ31oWtulW9S11C+k9uMBoCVpeZnb08wqeWivWlvQdwCdI0+2BsQRrS3hcxS3+wDpY3sZ1rIBqGYOABDmoyx7/Jrj4O/8lOhoMsbXkvC+0PqQG7ogCIJgtlzN5N5AH3orSf0qN3RBEATBbBENXRAEQRDMALmhWzDGaOacod2U5zYPlVm8Hrg8IdfMgliKVqzNc0/qJ6t/J/3qrurCyy2iGuSI0FDSx6kquwXRNJDLd9GUl+OGDLju8QAADOhCNUqsm/Pjc3SmJSaxnt3OtT0Z495dXE512+GjZGxY7x6kj0t85hbR9QEBbnQ9QzXSrCsqaSpVrvni8qXBrHwq17N3HlV6q6sL9c13QvstY+s2uM/bCZXltKYSeg3tu7RcabUjwuj53pJMveU5Fer6KLlCfd3xrDypL0q1yj9nMXttabHqu7PUxFyTbttefTaeknV4D6pRY3jZYztbuo4j2K/20rBYgwYAWL9rn94e2IfOmRPLYeAV46q3+wcG1np8ALRkajt7up9NLCXyVxs26e2oMOrd59o81s3592tsdATpc90c89GqtaT/5IRxtW4rtA7khi4IgiCYLfKELgiCIAhmgCUVZ5EbegPgNrCyEmV/enD0SDLGw+o8ZIjZtGlvrWOuyLoFUDPEhiufDYjuTcbOMxkAV1Di1ZXGRtH9Ygsct2vxtJsHM1Uay2pmweoZQEP7XVDYetvWfWRs6dpNpD9qSH+9PaQXDcdeYqlAbVFazuxzNCXvpRK6rbuzCodzeyEOsQNQGxtP9cotRLf0D9fbKSylLJYPbG1owkb+NHAmX6Xl5Wl2c3Joyt7+oV31dl4RPd9DutFQ7urtu/X2mEH9yVhpCLVZ4XPKU6cO46H9I0oO4alTuUWvKF9JLnfdQiv+JZ2mUgm2WfJUuhsTD5L+qP7KWhkVHEzGeIrmx+8YC/Xlj8OH9Tb/znRn1QKxzZJ/b6ur6Dm2tVN/itdvo99/fN1z7r1pKOnzc/PbQTUvOCUvAJX9BPNAbuiCIAiC2SIhd0EQBEEwAyzphi7FWQRBEATBDJAndCPgOrghSwhPIcstLthS5uFMbSn9H6HbGoNvN1Wys7s3TYfJU55iLdHVjR7D9tRU0seftasntWv5dqDaMU7vGhREy6W6s7Knh7Oy9Pb0u6mWyUuD4uPnpTV5idRQ9NmPpKSTsZt60RK02ErFU6seSKdWKvw/dc8OrmSM26O8kH4cv4NqvPizVrKSqNXsYQDr0JsP0TSg49haB1zec0/KCTLm6krnPiRYpd09fDqLjHXpRM9xRYW6nvk5tGZzFuKrbGHhnTuTsd8PUzucu4e6dorLaOnSY2fouoM/NigrZa+I7mQs0J9e6109PfV2XemSMT+t2Uz6XGc+lUWvO0zSMVpWuF8vtWahbwDV11070e/boK5q7cNWoFp3H//aLaX4dQA1y8ridLm4bVFILndBEARBaP1of/5r6D5aAxJyFwRBEAQzQJ7QBUEQBLNFfOjCdeHeca6pY528rhSyXDc3tF+sHdblHcWeYO6L5po/LoN5T1QUfU/ktwUAWL1fecTH96O+2N1paaQfERSktzMvUM8v93njtQZ83UEnZ6rVZiE/diem4+Yj7RiAepaxlglQc8Uq1s0rq6meHcTWC2BO5dHPlnae+qbLQpRuOmoU9Vjj1MDYMw9Q00uMGR1OS9duOEA16cE91PkvzKOpfz3daRpWRzv1PvYsdereVKq/83K6hsDn6Rhb69DGhn4vHNqoz370zBky1qE9TTE77K6b9faG/fRzz4gZVevxuLSjHvDb+/UjfZwC9ZaYQWSMfxcvnFWf7e7x9D2xbs/hZVnTk+h+Jw1S7/vA8GFkjJdPxds2BO7H599Nc8GSVrnLDV0QBEEwWyzphi4auiAIgiCYAVZaa/mvB6KoqAhcXFygsLAQnFk1rNYIt9XwimrfbtmqtwNZCJjbtbAswO1Qh09mkL6nuwrJj+1DQ7lnL14kfSwhZLKKWdySdwhZ0ZwcaPh4w54DpN++gwqdcztUF1bNDFc3O5GTQ8Z4uBPLCbyKF7fvYAvhwUxq3+rm5UX6Gw8oKaKrP63a5c8kjm2oullbR3qeQtB+k9h7RoVQK9Kp88oOxy2C3Kbk76bGeXib2xZx+lQuz/h0oOF5LIfgub0eFy5frnUsAKUQBgBIy1XnsYr59bZuSSR9LFt4Mslqy+EjpG+MRGCoKhq+lgEA1v6uvqsenen1+dDNN5F+BrIxBrIKipwdyCbKU/RysMQ1kKW1TWESB7eutiQa++/4tf1HRIwFWyYpGUtlZQUkJq5r8fccCbkLgiAIZkzDF8UBtI5FcRJyFwRBEAQzQJ7QBUEQBLPFkhbFyQ29ieCWHFyOkmvmhhgeSktVfrd1G+kP6hait0NYykgnh9p13E9W/07Gxg2mNiusb8cdoXplx3bUXlRaXq63edpK+3b0GLB26+VCddEVv2wk/dgH79bbzkyT5jo5TjnK07kmpFFLVkKiKvdZUkTLcmb40PSjlRVqXcKxNPqe3G7miNYP8DKyeF74/PG1D0O7qTSne07S9KJ8PQNOl1qXXWtVotKoO7BjeOvzZaTf0Utp6o/dPoaMcfsTXqsxZTgt7/nxj7+S/j1jhuvtbSkpZMwnmOq/UcFqbQH/PoV1ptfZzuPH9XYkslEC0NTEADQLmBXQa4VbxA51V+ly7x9GPxsn/oS6zriGfpHZLI+eyNDbXEP/dtMW0u/AUvhicgqpVbEla+hNhgWlfpWQuyAIgiCYAfKELgiCIJgtGjQ8F3vreD6XG7ogCIJgxliShi4+9EYClzgEqOnVxvp1FtNB/ZlXF4M90wCGU8h+HbeZ9B8cPbLWbXmKS67NXkG6eE8/PzJ2MJ2+9kyq0jfHjaHrA7im/vHPv+ntJ+68tdbjA6DzVMU06VJWatXRzk5vbzpIU2deuXyF9EdEKg9+anY2GSsppSU9vVHJ1BMZNNUrTgsKAOATonzq0d2pLrr7hPISc60bHzsnn3m8uXc/MztXb+M0sAD0muPwtRidPajmm3FO+cWnjRpBxn6Ijyf9SlRqtY0dfWbo5kU13e7e6pi4b56nT8a6Pk+BzNeAWNsoLTwwgOYL4LkFDP0JLGI+f2e0DoXr4jwFMs4R4dqWnmPu8zfEpqNHSX9Ujx5625i/HS2NpvKhh4ePBhubhj27VlVVwoEDcS36ngMgT+iCIAiCGSPFWQRBEATBDLCkkLvc0BsJbndZd4hWh8LhT2PCZDzE/uPu3aSPLTrRPbqTMZzi8mpfhZO5JIArvAEYrvLGw+iHglS6TJ4Olc8DDrNzqxQP1+MKaydzc8lYJQvB41Sw9m2pnYxXIStAKVB7s8+SxlLMBqEwa2AnWp1q+c/UZldWrOYbzzUAwBAUgndh4VieWjUhWaUFHdW3FxlLPkttdT0DVYW3venpZIyH3LH1C1fpA6gZag7v2kVvn0eV4gBqVulKzVT7Hd4jjIy1ZXLCoSwlW0R3pSlvuWyFr0Ee3v7reGqlw1avukLs2F4WwlIIR3bpQvrY6sdD7mnsmuTVDesL/x4Y+u61phB7c2FJN3SxrQmCIAiCGWDyG3pVVRXMnTsXgoKCwNHREYKDg+G1114j/8PRNA3mzZsH3t7e4OjoCDExMXAcJYIQBEEQBFNw7Qm9oT+tAZPf0P/5z3/Cxx9/DB9++CEkJyfDP//5T3j77bfhP//5j77N22+/DR988AEsXrwYEhISoF27djBmzBgoZWE+QRAEQWgIlnRDN7lt7fbbbwdPT0/44osv9N9NnDgRHB0d4fvvvwdN08DHxweef/55eOGFFwAAoLCwEDw9PeHrr7+GyZNr14uu0Rpsa3WxIiFBb98TFWVwW5xa84dVG8jYw/eOI/1OBubjs7V/kP4tA/vrbZyKFgDgjv79ob5w25Ix2iHWOrkdimuJEYOUfmzPLE1cx8WXtbOjIxkrukJta5sPqVS2bh3p/HV2pzqprbX6P/Avv1Gr11+njCd9nAr2v/FUD8ZpQ3ka0y176ToDrPnfPX4UGcNlTQEA9qYqPdjVhVraju5LJX3H9mpeHrmLatCFJXSOSpBt8cfVm8gY13hxCU+eepTr4uXlym74wPBhYAi8/iL3YgEZs0FlgwFoqt269msIXAIVgOrmxmjd/Lvn50u1el7S1xDYumrIttrSaSrbWs+ew0xiWztyZFuLv+eY/Al98ODBEBcXB6l/1vc9ePAgbN++HW699erip/T0dMjOzoaYmBj9NS4uLhAVFQXx7MZwjbKyMigqKiI/giAIglAnWrVpfloBJl/lPnv2bCgqKoLQ0FCwsbGBqqoqeOONN2Dq1KkAAJD9Z+IOT7aa1NPTUx/jLFiwAP7xj3+Y+lAFQRAEM0f7819D99EaMPkT+n//+19YsmQJLF26FPbt2wfffPMN/Otf/4Jvvvnmhvc5Z84cKCws1H+ysrLqfpEgCIIgWBAm19D9/f1h9uzZMHPmTP13r7/+Onz//fdw7NgxOHnyJAQHB8P+/fshPDxc32bEiBEQHh4O77//fp3vYQ4aOoZrcQ/dS1OgXkE6Iz9d3AuLOXvxIunvSKUaal3afX3h6WhP56v3Pc6iLtyfjzXVtvbUozy+H9Xx8TxNvnM0Gati81KIvOWdWHrUrHyaohWvUbBmpVa5Pz8DbRsVHEzGtrPynx3at9fb3qw0LD5vfA0C90L3CVDe8l0naOlXXk7XENwnHezhUeu2//xyOelPuFWVObVlejXfDz5PeN0DQM1Spvg8GbqWAeh54msmGsL7y37W289MvtNk+zUE1+bX79mvtx8dd0uTHENz01QaelhYtEk09OTk+BZ/zzH5E3pJSQlYW9Pd2tjY6ItUgoKCwMvLC+Li4vTxoqIiSEhIgOgbTMQgCIIgCNejOVe5L1q0CAIDA8HBwQGioqJgN0sExlmxYgWEhoaCg4MD9O7dG9auXWvU+5n8hj5+/Hh444034Ndff4WMjAxYuXIlvPfee3DXXXcBAICVlRU8++yz8Prrr8Mvv/wChw8fhmnTpoGPjw9MmDDB1IcjCIIgCE3O8uXLITY2FubPnw/79u2Dvn37wpgxYyCXRcqusXPnTpgyZQo8/PDDsH//fpgwYQJMmDABkpKSrrv99TB5yP3SpUswd+5cWLlyJeTm5oKPjw9MmTIF5s2bB3Z/pn3UNA3mz58Pn376KRQUFMDQoUPho48+gm7dutWx96uYW8idW1p4yA2HrXn6Tv7a+0ar0Gg7ewcyxkPjX/5XVTqbMiGGjFVUVZH+H/Eq5eWTE6hVjle6cvNUlaR4eHZCRATcKLgimDFWpN8OHiT9/Eu0YlmYn6/ermSfO52FRrFkcLG4mIyt3JlA+oHImnQs9RQZw3PIrWcHTtFtu6CQNq+uxsEyy7c//W5gS4DOPTvXOsalBmw/w6FvAIALrAIcfi3/bNtTqSxha62uDy4frN6/j/TxXypuq+Tvgyu18euTw9PGYngVQidUQY1/Fw+xtT04JTJP5+vt6kr6huQEPt+mlBuak6YKuXfvPtAkIfeUlN1GHWtUVBQMGDAAPvzwQwC4aqX09/eHp556CmbPnl1j+0mTJkFxcTGsWbNG/92gQYMgPDwcFi9eXK/3NPkqdycnJ1i4cCEsXLiw1m2srKzg1VdfhVdffdXUby8IgiAIOqbM5c4t0/b29mBvb19j+/LyckhMTIQ5c+bov7O2toaYmJha7dnx8fEQGxtLfjdmzBhYtWpVvY9TcrkLgiAIZospNXR/f39wcXHRfxYsWHDd9zx//jxUVVUZZc/Ozs42avvrIdXWBEEQBKEeZGVlkZD79Z7OmxO5obcA6rKpYB2P63ZOHammynVzDE8TiVNVfr6OppR9ZCzV1Lsy3Rxz0wCattKlrUopml1IQ1QnWDlSXOaU66C8TKcxujnWt31ZCVdDGmQPph1zrdNQWtNR4dSiFdRJad839ehJxrDeysvPhnem2vayHTvVe/Si+7mIbF8AAC4ozS1PRcrTrpZdUSVdz6adI2OXLrDQYpT6U8HtZTwdsdPt6hrMYPrvyXSa5hbr19xmyW2LeC0J17aPZFL92s6ujd52bE+/EzzFsCH4WgI8h/y7yM8jhl9HHJ6eGGMumnlzYcqQu7Ozc700dHd3d7CxsYEc9vcuJycHvNh1cw0vLy+jtr8eEnIXBEEQzBcNrq6obNCPcW9pZ2cHERERxJ5dXV0NcXFxtdqzo6OjyfYAAOvXrzfKzi1P6IIgCIJgYmJjY2H69OkQGRkJAwcOhIULF0JxcTHMmDEDAACmTZsGvr6+ug7/zDPPwIgRI+Ddd9+F2267DZYtWwZ79+6FTz/9tN7vKTd0QRAEwWzRoBo0sKp7wzr2YSyTJk2CvLw8mDdvHmRnZ0N4eDisW7dOX/iWmZlJkrANHjwYli5dCq+88gq89NJLEBISAqtWrYJevXrV9hY1MLkPvSkwNx86h6eFxClRTVkuEftzDXlxAai+ueXYMTJmqFxqcRmtcW9I4+cs20XtHYV5Stet63hvFK4zj+5JNeviMqU7F7IyrKFMU8eab08/PzK2JTlZb3ONlGvU327ZqrfPHj9LxibePpL0sa7LdeZDabT/4Gj6Wowh7zP3Wyez8q/ZGUoH7N6j9lSvAADDunfX2z4dOsCNwtdmJJ0+rbcbkvugIaWBv9qgyszOiBllYEvLpKl86F26hNcor2ssVVVVcPLkgRZ/zxENXRAEQRDMAAm5C4IgCGZMw1e5G70qrpmQkLuZgcP1dVWvMgRPKXtb9AC9XVdoFL+WW/J4ZTlsreKpVDu0a1fre2xlYf8evr6k/9NmZfUKCabh7t07D9d6DDztqqMdrQCHQ+68itulUiovtEFhPm5xwvDwdrVG9Tpsf+NyDD/HOBx+6jzdNrprCOlnXrigt3MKaVrgW/tSK+K/l67U28/ddxcZ46F9bvXCrNy7l/TviozU21zu4JX5ftmnUsH6MSsif8/GqsxmKng62saSkFoyTRVyDwrqA9bWDQu5V1dXQXr6oRZ/z5GQuyAIgiCYARJyFwRBEMwWTasGTWvgKnfN+FXuzYHc0AVBEASzxZSZ4lo6ckNv5XDdsShfWbu4fm3IisQ181sG0rSbxliK7hpWu7UnuHdQrWNcMzekt/NSm5yLOcpmdxPTJ3kaVkzCIarNG9I267I0YcseT2uK55OnTuUpW3ceP663+wbUnl4UgKYf5aVgt6emkj62c/HynusOHSL9mfeO19u4jC0ATbMKQPVsbifrx9La4nS/6UkZZAyYho5Lpu5OSyNjPE0wtxRiDJU5Pc4KYRha+2AM/D0tUTNvLizphi4auiAIgiCYAfKELgiCIJgv1/KxN3QfrQC5oQuCIAhmi/bnv4buozUgPnQBAOr2EhuTJhZr31wP5mDt/uYB/ciYlRVdmdoUfmLu844/cYL0vVxU6t2BwV3IGPaoA9A0vXyNQl0lczF4PiffOZqM8bUNeJ0E13/XJyWRvif6LJlsfcXt/ei5MFTu1ZAmbWjdBgDV0O1sTfd8gd/X3ak9GTMm/TBnyfYdenvq0CE3vB+h6Xzo/v6hJvGhZ2Uda/H3HHlCFwRBEMwWsa0JgiAIghlgSavc5YZuwaScO6e3uV2Hh9xxmN2QBQsAYNpEtW0WSi8KAJDH7EXGhJ4NhX05OI1sRVUlGeMV646iamFtWFWmU0doKtihd92st5fGbSVjhj6LobG6wvF1yRYYbD/jIffSinLSN2Rx46FyvO3q/fvIWE5OPum7ODrq7bpkkr3p6Xq7Gzted5Za97eDB/U2T02LQ/f8fb+O20zGbNrQc9w3KFBvHziZTsamjRhO+hJmF1oyckMXBEEQzBZ5QhcEQRAEM8CSbuiSWEYQBEEQzAB5Qrdgunt7X7d9PXAa0+SzZ8kY1y8NlW31d3MjfazHxx2mtqoHhg8j/bW/K8tQH6Yr83KUfcKC9XZ01661Hg9AzdKrGEP6dV36P05POjA4mIxhjbquErNTJsTobUeWZpWvB8Apcd9f9jMZe2bynaT/1YZNentGzKiaH6AWSsqoFu/kSm1hWL/mn2UqWoMAAHDkuNKsB4fQ8q4JadQyiHVzY0q2ZqfT9SETbx9J+nitAbceCq0fS3pClxu6IAiCYLZcvaE3zHYmN3RBEARBaG4sKPWraOiCIAiCYAZI6lcBAGr6xbnWbYi6fOmmAuvOzsjrDFCz9KoxYJ/yg6NH3vB+DM0h13xtkd+9Lk89nt+GzC3OOwBA101w33ncflo+9eb+Sr/m18bBzEzSr6pW4U1D2jaH50LYcYSWssXnpq4yp3i+6zoGnAfAmLwIQsNoqtSvHh6dwdq6Yc+u1dXVkJt7qsXfcyTkLgiCIJgtlrQoTkLugiAIgmAGSMhdAICa9iJj0o3yCmWGbGvNQUPkBEM0ZM4aYz8ANDx/paKCjAV7eJC+MaFmvN9f4/eQsfYdaIrWKdHRepuH8tfFJ5L+xRy1379OGU/G0nJySD+yC61uJ7Rumirk7u7uZ5KQ+/nzp1v8PUdC7oIgCILZIiF3QRAEQRBaFfKELgiCIJgtlvSELhq6YDRNZVNrqmPYdPSo3h7Vo4fBbbHebYzWzXVyDN+PIU0dp5MFqJlS1hhyiwr1Nk8hy8HrEHYeP07GJg0aRPq4vOr4fv0N7hdr7HWVWsXUldZWaPk0lYbeoYO3STT0ixfPtfh7joTcBUEQBMEMkJC7IAiCYMY0POQO0DoC2XJDFwRBEMyXBhZmMdk+mgDR0IVWw9EzZ/T2L79tI2PG6NmHsrJIH6debYin3hhdf+mOnXr7viGDDe4Xl6e1s6X/B8c6OADVwo35LGsPHCD9ceHhtW6LS+kCALSzdyB9rLdvSjpCxqaNGF7rfgXLoqk0dFfXTmBl1TB1WdOqoaAgr8Xfc0RDFwRBEAQzQELugiAIgtlyNQhtGbY1uaELjQqvMmZM9S3Otn1Jersh6VHjDxwlfRxyb0jaWkMhdl4dzFCYva5KYhhDdjNc0e164HPDQ+w8ZeuFy5fV646dIGOPjI0hfZxatyEhdn4MxtjaEtLUMUYFd73hYxBaP5Z0Q5eQuyAIgiCYAfKELgiCIJgtmglWqJtiH02B3NAFQRAEs+VqtLyhIXeTHEqjIzd0oVExRjOvSzP96/gxetsYbZ7b1HDJzqbCkA7ekG15mtjYB+/W234dO5IxbPsDAPhjwy693f+RQDLG537LYWU/45p5Y2GMZs4R3VywROSGLgiCIJgtpljQ1loWxckNXRAEQTBbLOmGLqvcBUEQBMEMkCd0ocVgjGZqjDaPfeYAADBmCOkaSq3aEPCaAA+WLtLRzs4k79G5Z2fSP1dQoMbYfPbw9aWvfWCC3q4rneu0USP0Nk7tCkB953VhqDSsIDQKpni6biVP6HJDFwRBEMwWDaoBwKqB+5AbuiAIgiA0K5akoUu1NUFoZuoKd38dt1lvPzh6pMF9YYuee/v2ZMxQaloJhQtNTVNVW3NwaAdWVg18Qtc0KC0tbvH3HHlCFwRBEMwWS3pClxu6IAiCYLZY0g1dbGuCIAiCYAaIhi4IJqIhdq7mILeoUG8bKsMqCI1BU2nobdo4mERDr6gobfH3HAm5C4IgCGbL1UppDb+htwYk5C4IgiAIZoA8oQuCIAhmiyUtipMbuiCYiJagmWM/+TiW4panwBXdXLAILCj1q9Eh961bt8L48ePBx8cHrKysYNWqVWRc0zSYN28eeHt7g6OjI8TExMDx48fJNvn5+TB16lRwdnYGV1dXePjhh+Hy5csN+iCCIAiCYMkYfUMvLi6Gvn37wqJFi647/vbbb8MHH3wAixcvhoSEBGjXrh2MGTMGSktVNqypU6fCkSNHYP369bBmzRrYunUrPPbYYzf+KQRBEAThOmgm+tcaaJBtzcrKClauXAkTJkwAgKtP5z4+PvD888/DCy+8AAAAhYWF4OnpCV9//TVMnjwZkpOToUePHrBnzx6IjIwEAIB169bBuHHj4PTp0+Dj41Pn+4ptTRAEoXXTVLY1Kysrk9jWNE1r8fcck65yT09Ph+zsbIiJidF/5+LiAlFRURAfHw8AAPHx8eDq6qrfzAEAYmJiwNraGhISEq6737KyMigqKiI/giAIglAX127GDf1pDZj0hp6dnQ0AAJ6enuT3np6e+lh2djZ4eHiQcVtbW+jYsaO+DWfBggXg4uKi//jz+taCIAiCYOG0ilXuc+bMgdjYWL1fWFgIAQEB8qQuCILQSrn297spnn5byxN2QzHpDd3LywsAAHJycsDb21v/fU5ODoSHh+vb5ObmktdVVlZCfn6+/nqOvb092Nvb6/1rF4I8qQuCILRuLl26BC4uprdQ2tnZgZeXV62RX2Px8vICOzs7k+yrsTDpDT0oKAi8vLwgLi5Ov4EXFRVBQkICPPHEEwAAEB0dDQUFBZCYmAgREREAALBx40aorq6GqKioer2Pj48PZGVlgaZpEBAQAFlZWS16oUJzUlRUBP7+/jJHBpA5qhuZo/oh81Q31+YoMzMTrKys6rUQ+kZwcHCA9PR0KC8vN8n+7OzswMHBwST7aiyMvqFfvnwZTpw4offT09PhwIED0LFjRwgICIBnn30WXn/9dQgJCYGgoCCYO3cu+Pj46Cvhw8LCYOzYsfDoo4/C4sWLoaKiAmbNmgWTJ0+u94m1trYGPz8//Und2dlZvjx1IHNUNzJHdSNzVD9knurGxcWl0efIwcGhxd+ETYnRN/S9e/fCqFGj9P41bXv69Onw9ddfw9/+9jcoLi6Gxx57DAoKCmDo0KGwbt06MqlLliyBWbNmwejRo8Ha2homTpwIH3zwgQk+jiAIgiBYJq2yfOo1xI9eNzJHdSNzVDcyR/VD5qluZI4aj1Zdbc3e3h7mz59PFswJFJmjupE5qhuZo/oh81Q3MkeNR6t+QhcEQRAE4Sqt+gldEARBEISryA1dEARBEMwAuaELgiAIghkgN3RBEARBMAPkhi4IgiAIZkCrvaEvWrQIAgMDwcHBAaKiomD37t3NfUjNxoIFC2DAgAHg5OQEHh4eMGHCBEhJSSHblJaWwsyZM8HNzQ3at28PEydOhJycnGY64ubnrbfeAisrK3j22Wf138kcXeXMmTNw//33g5ubGzg6OkLv3r1h7969+rimaTBv3jzw9vYGR0dHiImJgePHjzfjETctVVVVMHfuXAgKCgJHR0cIDg6G1157jRQAsbQ52rp1K4wfPx58fHzAysoKVq1aRcbrMx/5+fkwdepUcHZ2BldXV3j44Yfh8uXLTfgpzACtFbJs2TLNzs5O+/LLL7UjR45ojz76qObq6qrl5OQ096E1C2PGjNG++uorLSkpSTtw4IA2btw4LSAgQLt8+bK+zeOPP675+/trcXFx2t69e7VBgwZpgwcPbsajbj52796tBQYGan369NGeeeYZ/fcyR5qWn5+vde7cWXvwwQe1hIQE7eTJk9rvv/+unThxQt/mrbfe0lxcXLRVq1ZpBw8e1O644w4tKChIu3LlSjMeedPxxhtvaG5ubtqaNWu09PR0bcWKFVr79u21999/X9/G0uZo7dq12ssvv6z973//0wBAW7lyJRmvz3yMHTtW69u3r7Zr1y5t27ZtWteuXbUpU6Y08Sdp3bTKG/rAgQO1mTNn6v2qqirNx8dHW7BgQTMeVcshNzdXAwBty5YtmqZpWkFBgdamTRttxYoV+jbJyckaAGjx8fHNdZjNwqVLl7SQkBBt/fr12ogRI/QbuszRVV588UVt6NChtY5XV1drXl5e2jvvvKP/rqCgQLO3t9d++OGHpjjEZue2227THnroIfK7v/zlL9rUqVM1TZM54jf0+szH0aNHNQDQ9uzZo2/z22+/aVZWVtqZM2ea7NhbO60u5F5eXg6JiYkQExOj/87a2hpiYmIgPj6+GY+s5VBYWAgAAB07dgQAgMTERKioqCBzFhoaCgEBARY3ZzNnzoTbbruNzAWAzNE1fvnlF4iMjIR77rkHPDw8oF+/fvDZZ5/p4+np6ZCdnU3mycXFBaKioixmngYPHgxxcXGQmpoKAAAHDx6E7du3w6233goAMkec+sxHfHw8uLq6QmRkpL5NTEwMWFtbQ0JCQpMfc2vFpOVTm4Lz589DVVUVeHp6kt97enrCsWPHmumoWg7V1dXw7LPPwpAhQ6BXr14AAJCdnQ12dnbg6upKtvX09DRZreDWwLJly2Dfvn2wZ8+eGmMyR1c5efIkfPzxxxAbGwsvvfQS7NmzB55++mmws7OD6dOn63Nxve+fpczT7NmzoaioCEJDQ8HGxgaqqqrgjTfegKlTpwIAyBwx6jMf2dnZ4OHhQcZtbW2hY8eOFjlnN0qru6ELhpk5cyYkJSXB9u3bm/tQWhRZWVnwzDPPwPr16y2qnKKxVFdXQ2RkJLz55psAANCvXz9ISkqCxYsXw/Tp05v56FoG//3vf2HJkiWwdOlS6NmzJxw4cACeffZZ8PHxkTkSmpVWF3J3d3cHGxubGquPc3JywMvLq5mOqmUwa9YsWLNmDWzatAn8/Pz033t5eUF5eTkUFBSQ7S1pzhITEyE3Nxf69+8Ptra2YGtrC1u2bIEPPvgAbG1twdPT0+LnCADA29sbevToQX4XFhYGmZmZAAD6XFjy9+///u//YPbs2TB58mTo3bs3PPDAA/Dcc8/BggULAEDmiFOf+fDy8oLc3FwyXllZCfn5+RY5ZzdKq7uh29nZQUREBMTFxem/q66uhri4OIiOjm7GI2s+NE2DWbNmwcqVK2Hjxo0QFBRExiMiIqBNmzZkzlJSUiAzM9Ni5mz06NFw+PBhOHDggP4TGRkJU6dO1duWPkcAAEOGDKlheUxNTYXOnTsDAEBQUBB4eXmReSoqKoKEhASLmaeSkhKwtqZ/Om1sbKC6uhoAZI449ZmP6OhoKCgogMTERH2bjRs3QnV1NURFRTX5MbdamntV3o2wbNkyzd7eXvv666+1o0ePao899pjm6uqqZWdnN/ehNQtPPPGE5uLiom3evFk7d+6c/lNSUqJv8/jjj2sBAQHaxo0btb1792rR0dFadHR0Mx5184NXuWuazJGmXbX02draam+88YZ2/PhxbcmSJVrbtm2177//Xt/mrbfe0lxdXbWff/5ZO3TokHbnnXeatSWLM336dM3X11e3rf3vf//T3N3dtb/97W/6NpY2R5cuXdL279+v7d+/XwMA7b333tP279+vnTp1StO0+s3H2LFjtX79+mkJCQna9u3btZCQELGtGUmrvKFrmqb95z//0QICAjQ7Oztt4MCB2q5du5r7kJoNALjuz1dffaVvc+XKFe3JJ5/UOnTooLVt21a76667tHPnzjXfQbcA+A1d5ugqq1ev1nr16qXZ29troaGh2qeffkrGq6urtblz52qenp6avb29Nnr0aC0lJaWZjrbpKSoq0p555hktICBAc3Bw0Lp06aK9/PLLWllZmb6Npc3Rpk2brvs3aPr06Zqm1W8+Lly4oE2ZMkVr37695uzsrM2YMUO7dOlSM3ya1ovUQxcEQRAEM6DVaeiCIAiCINREbuiCIAiCYAbIDV0QBEEQzAC5oQuCIAiCGSA3dEEQBEEwA+SGLgiCIAhmgNzQBUEQBMEMkBu6IAiCIJgBckMXBEEQBDNAbuiCIAiCYAbIDV0QBEEQzID/ByBaK25hlHBZAAAAAElFTkSuQmCC", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.imshow(mags['OAJ_JPAS.gSDSS']-mags['OAJ_JPAS.rSDSS'], cmap='bone')\n", "plt.colorbar();" ] }, { "cell_type": "markdown", "id": "b059d7be-de26-4c44-86a4-4ea234734ae8", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "## False-color image\n", "\n", "Lastly, with some tinkering, the magnitude maps can be combined to create a false-color image. However, there is no fixed way to approach this. In our case we renormalize each filter independently." ] }, { "cell_type": "code", "execution_count": 22, "id": "4d7bece9-ee4f-4e36-ad5b-23f7da267422", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [], "source": [ "def norm(f):\n", " mask = np.isfinite(f)\n", " minf = f[mask].min()\n", " maxf = f[mask].max()\n", " f[mask] = (f[mask] - minf)/(maxf-minf)\n", " return 1-1.4*f" ] }, { "cell_type": "code", "execution_count": 23, "id": "a44004fa-98d9-49df-bce1-5060ac537d72", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "WARNING:matplotlib.image:Clipping input data to the valid range for imshow with RGB data ([0..1] for floats or [0..255] for integers).\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "r = norm(mags['OAJ_JPAS.iSDSS'])\n", "g = norm(mags['OAJ_JPAS.rSDSS'])\n", "b = norm(mags['OAJ_JPAS.gSDSS'])\n", "rgb = np.dstack((r,g,b))\n", "plt.imshow(rgb);" ] }, { "cell_type": "markdown", "id": "d2399455-6481-4e41-b4c5-c3d90e307421", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "But there are other stablished tools in astropy, for example. However, these also required some parameter tuning to get a nice-looking image..." ] }, { "cell_type": "code", "execution_count": 24, "id": "59754ecb-9618-432d-851e-cf20b874e6d3", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from astropy.visualization import make_lupton_rgb\n", "rgb_default = make_lupton_rgb(10**(-mags['OAJ_JPAS.iSDSS']), 10**(-mags['OAJ_JPAS.rSDSS']), 10**(-mags['OAJ_JPAS.gSDSS']), stretch=0.8, Q=2.5)\n", "plt.imshow(rgb_default);" ] }, { "cell_type": "code", "execution_count": null, "id": "f006d650-83f8-4083-8d69-4e1ab5bf0fdb", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.12" } }, "nbformat": 4, "nbformat_minor": 5 }