Buzzard_quicklook.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import sys, os\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import sys\n",
    "sys.path.insert(0, '/global/common/cori/contrib/lsst/apps/anaconda/py2-envs/DESCQA/lib/python2.7/site-packages')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "#!/global/common/cori/contrib/lsst/apps/anaconda/py2-envs/DESCQA/bin/python "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "import subprocess\n",
    "assert u'lsst' in subprocess.check_output(['groups']).decode().split(), 'You need to be in the `lsst` group for this notebook to work'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "('GCRCatalogs =', '0.6.10', '|', 'GCR =', '0.6.2')\n"
     ]
    }
   ],
   "source": [
    "import GCRCatalogs\n",
    "\n",
    "## check version\n",
    "print('GCRCatalogs =', GCRCatalogs.__version__, '|' ,'GCR =', GCRCatalogs.GCR.__version__)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "buzzard\n",
      "buzzard_high-res\n",
      "buzzard_test\n",
      "dc1\n",
      "protoDC2\n"
     ]
    }
   ],
   "source": [
    "## list all find available catlaogs, sorted by their name\n",
    "print('\\n'.join(sorted(GCRCatalogs.get_available_catalogs())))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "## load 'protoDC2' catalog\n",
    "gc = GCRCatalogs.load_catalog('buzzard_test')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Mag_true_Y_des_z01, \n",
      "Mag_true_g_des_z01, \n",
      "Mag_true_i_des_z01, \n",
      "Mag_true_r_des_z01, \n",
      "Mag_true_z_des_z01, \n",
      "convergence, \n",
      "dec, \n",
      "dec_true, \n",
      "ellipticity_1, \n",
      "ellipticity_1_true, \n",
      "ellipticity_2, \n",
      "ellipticity_2_true, \n",
      "galaxy_id, \n",
      "halo_id, \n",
      "halo_mass, \n",
      "is_central, \n",
      "mag_Y_des, \n",
      "mag_g_des, \n",
      "mag_i_des, \n",
      "mag_r_des, \n",
      "mag_z_des, \n",
      "magerr_Y_des, \n",
      "magerr_g_des, \n",
      "magerr_i_des, \n",
      "magerr_r_des, \n",
      "magerr_z_des, \n",
      "magnification, \n",
      "position_x, \n",
      "position_y, \n",
      "position_z, \n",
      "ra, \n",
      "ra_true, \n",
      "redshift, \n",
      "redshift_true, \n",
      "shear_1, \n",
      "shear_2, \n",
      "size, \n",
      "size_true, \n",
      "velocity_x, \n",
      "velocity_y, \n",
      "velocity_z\n"
     ]
    }
   ],
   "source": [
    "print(', \\n'.join(sorted(gc.list_all_quantities())))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "healpix_pixel\n",
      "truth/AMAG/0\n",
      "truth/AMAG/1\n",
      "truth/AMAG/2\n",
      "truth/AMAG/3\n",
      "truth/AMAG/4\n",
      "truth/CENTRAL\n",
      "truth/COEFFS/0\n",
      "truth/COEFFS/1\n",
      "truth/COEFFS/2\n",
      "truth/COEFFS/3\n",
      "truth/COEFFS/4\n",
      "truth/DEC\n",
      "truth/DELTAM\n",
      "truth/DIST8\n",
      "truth/ECATID\n",
      "truth/EPSILON/0\n",
      "truth/EPSILON/1\n",
      "truth/FLUX/0\n",
      "truth/FLUX/1\n",
      "truth/FLUX/2\n",
      "truth/FLUX/3\n",
      "truth/FLUX/4\n",
      "truth/GAMMA1\n",
      "truth/GAMMA2\n",
      "truth/HALOID\n",
      "truth/ID\n",
      "truth/INDEX\n",
      "truth/IVAR/0\n",
      "truth/IVAR/1\n",
      "truth/IVAR/2\n",
      "truth/IVAR/3\n",
      "truth/IVAR/4\n",
      "truth/KAPPA\n",
      "truth/LMAG/0\n",
      "truth/LMAG/1\n",
      "truth/LMAG/2\n",
      "truth/LMAG/3\n",
      "truth/LMAG/4\n",
      "truth/M200\n",
      "truth/MAG_R\n",
      "truth/MU\n",
      "truth/NGALS\n",
      "truth/OMAG/0\n",
      "truth/OMAG/1\n",
      "truth/OMAG/2\n",
      "truth/OMAG/3\n",
      "truth/OMAG/4\n",
      "truth/OMAGERR/0\n",
      "truth/OMAGERR/1\n",
      "truth/OMAGERR/2\n",
      "truth/OMAGERR/3\n",
      "truth/OMAGERR/4\n",
      "truth/PDIST8\n",
      "truth/PX\n",
      "truth/PY\n",
      "truth/PZ\n",
      "truth/R200\n",
      "truth/RA\n",
      "truth/RHALO\n",
      "truth/SIGMA5\n",
      "truth/SIGMA5P\n",
      "truth/SIZE\n",
      "truth/TDEC\n",
      "truth/TE/0\n",
      "truth/TE/1\n",
      "truth/TMAG/0\n",
      "truth/TMAG/1\n",
      "truth/TMAG/2\n",
      "truth/TMAG/3\n",
      "truth/TMAG/4\n",
      "truth/TRA\n",
      "truth/TSIZE\n",
      "truth/VX\n",
      "truth/VY\n",
      "truth/VZ\n",
      "truth/W\n",
      "truth/Z\n"
     ]
    }
   ],
   "source": [
    "print('\\n'.join(sorted(gc.list_all_native_quantities())[:]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "#moredata = gc.get_quantities(['totalMassStellar','totalStarFormationRate'])\n",
    "data = gc.get_quantities(['mag_i_des','redshift'])\n",
    "sz = data['redshift']\n",
    "i = data['mag_i_des']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x2b3cf4102950>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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7wf7NDcrpU04aoPRG1lMNKPkxALbxD6MJgAQGV0FB+sM1GjUParz1Wb5cftzxoAQY0W/7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ZteGtmKDZJE8L/I/Wxt3Oj87jG6Xtlf8Rilo7gwyaQIgAhfcgQOZFdyc2HsH2yhMbJrF4BHPI72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\n5f8D5FDRqdcZIzAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2b3cf4026c90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(14,14))\n",
    "plt.scatter(sz,i,marker='.',s=1,c='b')\n",
    "plt.xlabel('redshift',fontsize=22)\n",
    "plt.ylabel('imag',fontsize=22)\n",
    "plt.ylim((15,30))\n",
    "plt.plot([0.,2.6],[25.3,25.3],color='r',label = \"gold sample\")\n",
    "plt.plot([0.,2.6],[26.8,26.8],color='r',linestyle='--',label = \"i<26.8\")\n",
    "plt.legend(loc=\"upper left\",fontsize=17)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [],
   "source": [
    "#mask = (np.isfinite)\n",
    "#szcut = sz[mask]\n",
    "mask = np.logical_not((np.isnan(i)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [],
   "source": [
    "ir = i[mask]\n",
    "szr = sz[mask]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [],
   "source": [
    "mask1 = np.logical_and(ir<20,ir>19)\n",
    "sz1 = szr[mask1]\n",
    "mask2 = np.logical_and(ir<21,ir>20)\n",
    "sz2 = szr[mask2]\n",
    "mask3 = np.logical_and(ir<22,ir>21)\n",
    "sz3 = szr[mask3]\n",
    "mask4 = np.logical_and(ir<23,ir>22)\n",
    "sz4 = szr[mask4]\n",
    "mask5 = np.logical_and(ir<24,ir>23)\n",
    "sz5 = szr[mask5]\n",
    "mask6 = np.logical_and(ir<25,ir>24)\n",
    "sz6 = szr[mask6]\n",
    "mask7 = np.logical_and(ir<25.3,ir>25)\n",
    "sz7 = szr[mask7]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x2b3cf411a390>"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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BYQ4AAB0Q5gAA0AFhDgAAHRDmAADQAWEOAAAdEOYAANABYQ4AAB0Q5gAA0AFhDgAAHRDm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\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2b3cf3ff8550>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12,12))\n",
    "plt.hist(sz1,bins=80,range=(0.,2.),label = \"19<i<20\")\n",
    "plt.xlabel(\"redshift\",fontsize=18)\n",
    "plt.ylabel(\"N\",fontsize=18)\n",
    "plt.legend(loc=\"upper left\",fontsize=17)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x2b3cf49a7cd0>"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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HAICOOcIOTKkN/Z8D12gHAEfYAQCga4IdAAA6JtgBAKBjgh0AADom2AEAoGOCHQAAOuay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\nAAB0TLADAEDHBDsAAHRMsAMAQMf+f/TcJMeKcw28AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2b3ba5f26650>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12,12))\n",
    "plt.hist(sz2,bins=80,range=(0.,2.),label = \"20<i<21\")\n",
    "plt.xlabel(\"redshift\",fontsize=18)\n",
    "plt.ylabel(\"N\",fontsize=18)\n",
    "plt.legend(loc=\"upper left\",fontsize=17)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x2b3cf49e1490>"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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AAOiYYAcAgI4JdgAA6JgvTgJ2WL6UCYCdgTPsAADQMWfYATZiqrP3K5YsnsWRALCzc4Yd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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2b3cf4a7ced0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12,12))\n",
    "plt.hist(sz3,bins=80,range=(0.,2.),label = \"21<i<22\")\n",
    "plt.xlabel(\"redshift\",fontsize=18)\n",
    "plt.ylabel(\"N\",fontsize=18)\n",
    "plt.legend(loc=\"upper left\",fontsize=17)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x2b3cf4d5e910>"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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8NZO0OT3J6ROUX5Pk0AnKH0xy8pb1FAAARqeLOewAAMDEBHYAAOjYKOewA7ABN44CsCEj\n7AAA0DGBHQAAOiawAwBAxwR2AADomJtOgZGa7CZLN1gCgMAOsNVZ6QWArcmUGAAA6JjADgAAHRPY\nAQCgYwI7AAB0TGAHAICOCewAANAxgR0AADomsAMAQMcEdgAA6JjADgAAHRPYAQCgYwI7AAB0TGAH\nAICOCewAANAxgR0AADomsAMAQMcEdgAA6JjADgAAHRPYAQCgYwI7AAB0TGAHAICOCewAANCxeaPu\nAMD2ZtHS5SNpC8DsZIQdAAA6JrADAEDHBHYAAOiYwA4AAB1z0ykwa7kBE4DtgRF2AADomMAOAAAd\nE9gBAKBjAjsAAHRMYAcAgI4J7AAA0DGBHQAAOiawAwBAxwR2AADomMAOAAAdE9gBAKBjAjsAAHRM\nYAcAgI4J7AAA0DGBHQAAOiawAwBAxwR2AADo2LxRdwCAmbFo6fJJ969ctmSGegLAdAjswDa1qZAI\nAEzOlBgAAOiYEXYANsl0GoDRMcIOAAAdE9gBAKBjAjsAAHRMYAcAgI4J7AAA0DGBHQAAOiawAwBA\nxwR2AADomMAOAAAdE9gBAKBjAjsAAHRMYAcAgI4J7AAA0DGBHQAAOiawAwBAx0YW2Ktq56q6uqqu\nrarrquq9Q/mTquqyqvrB8LzHuDbvrqoVVXVDVR0zrvyIqvrOsO8DVVVD+U5V9emh/KqqWjTTxwkA\nAFtilCPsDyU5urX2rCSHJzm2qp6TZGmSL7TWDk7yheF1quqQJKckeUaSY5N8qKp2GN7rw0nemOTg\n4XHsUH5qkrtaawclOSPJ+2biwAAAYGsZWWBvY+4dXu44PFqS45OcM5Sfk+SEYfv4JJ9qrT3UWrsx\nyYokR1bVvkl2a61d2VprSc7doM2697ogyQvXjb4DAMBsMG+UHz6MkH8jyUFJPthau6qq9m6t3TpU\n+UmSvYfthUmuHNf85qHs4WF7w/J1bW5Kktba2qq6O8meSX66DQ4HZq1FS5dPun/lsiUz1BNGaVPf\nAwBGY6Q3nbbWHmmtHZ5kv4yNlh+6wf6WsVH3baqq3lRV11TVNbfffvu2/jgAAJiyLlaJaa39LMkX\nMzb3/LZhmkuG59VDtVVJ9h/XbL+hbNWwvWH5em2qal6S3ZPcMcHnn9laW9xaW7xgwYKtdVgAALDF\nRrlKzIKqeuKwPT/Ji5P8U5KLkrxuqPa6JJ8dti9Kcsqw8stTM3Zz6dXD9Jk1VfWcYX76azdos+69\nTkpy+TBqDwAAs8Io57Dvm+ScYR7745Kc31r7XFX9Q5Lzq+rUJD9O8ptJ0lq7rqrOT3J9krVJ3tJa\ne2R4rzcnOTvJ/CSXDI8k+WiSj1fViiR3ZmyVGQAAmDVGFthba99O8uwJyu9I8sKNtDk9yekTlF+T\n5NAJyh9McvIWdxYAAEakiznsAADAxAR2AADomMAOAAAdE9gBAKBjAjsAAHRMYAcAgI4J7AAA0LFR\n/nASMEssWrp80v0rly2ZoZ4AwPZHYAe6tak/FABge2BKDAAAdExgBwCAjgnsAADQMYEdAAA6JrAD\nAEDHBHYAAOiYwA4AAB0T2AEAoGMCOwAAdExgBwCAjs0bdQcAmP0WLV2+0X0rly2ZwZ4AzD1G2AEA\noGMCOwAAdExgBwCAjgnsAADQMYEdAAA6JrADAEDHBHYAAOiYwA4AAB0T2AEAoGMCOwAAdExgBwCA\njgnsAADQMYEdAAA6Nm/UHQBmv0VLl4+6CwAwZxlhBwCAjgnsAADQMYEdAAA6JrADAEDHBHYAAOiY\nwA4AAB0T2AEAoGMCOwAAdMwPJwGwTW3qh7VWLlsyQz0BmJ2MsAMAQMcEdgAA6JjADgAAHRPYAQCg\nYwI7AAB0TGAHAICOCewAANAxgR0AADomsAMAQMcEdgAA6JjADgAAHRPYAQCgYwI7AAB0TGAHAICO\nCewAANAxgR0AADo2b9QdAGD7tmjp8kn3r1y2ZIZ6AtAngR22E5sKRQBAn0yJAQCAjgnsAADQMYEd\nAAA6JrADAEDHBHYAAOiYwA4AAB0T2AEAoGPWYYetbLL1zv0ADAAwXUbYAQCgYwI7AAB0TGAHAICO\nCewAANCxkQX2qtq/qr5YVddX1XVV9ftD+WlVtaqqvjU8jhvX5t1VtaKqbqiqY8aVH1FV3xn2faCq\naijfqao+PZRfVVWLZvo4AQBgS4xyhH1tkv/YWjskyXOSvKWqDhn2ndFaO3x4XJwkw75TkjwjybFJ\nPlRVOwz1P5zkjUkOHh7HDuWnJrmrtXZQkjOSvG8GjgsAALaakQX21tqtrbV/HLbvSfK9JAsnaXJ8\nkk+11h5qrd2YZEWSI6tq3yS7tdaubK21JOcmOWFcm3OG7QuSvHDd6DsAAMwGXcxhH6aqPDvJVUPR\n26rq21V1VlXtMZQtTHLTuGY3D2ULh+0Ny9dr01pbm+TuJHtO8Plvqqprquqa22+/fascEwAAbA0j\nD+xVtWuSv07yjtbamoxNb/nlJIcnuTXJn23rPrTWzmytLW6tLV6wYMG2/jgAAJiykQb2qtoxY2H9\nL1trFyZJa+221tojrbVfJPlIkiOH6quS7D+u+X5D2aphe8Py9dpU1bwkuye5Y9scDQAAbH2jXCWm\nknw0yfdaa+8fV77vuGonJvnusH1RklOGlV+emrGbS69urd2aZE1VPWd4z9cm+ey4Nq8btk9Kcvkw\nzx0AAGaFeSP87F9P8pok36mqbw1l70nyqqo6PElLsjLJf0iS1tp1VXV+kusztsLMW1prjwzt3pzk\n7CTzk1wyPJKxPwg+XlUrktyZsVVmAABg1hhZYG+tfSXJRCu2XDxJm9OTnD5B+TVJDp2g/MEkJ29B\nNwEAYKRGOcIObEWLli4fdRcAgG1g5KvEAAAAGyewAwBAxwR2AADomMAOAAAdE9gBAKBjAjsAAHRM\nYAcAgI4J7AAA0DGBHQAAOuaXTmEGbcmvka5ctmQr9gQAmC2MsAMAQMcEdgAA6JjADgAAHRPYAQCg\nY246hVliS25YBQBmLyPsAADQMYEdAAA6JrADAEDHBHYAAOiYwA4AAB0T2AEAoGMCOwAAdExgBwCA\njgnsAADQMYEdAAA6JrADAEDHBHYAAOiYwA4AAB0T2AEAoGMCOwAAdExgBwCAjgnsAADQMYEdAAA6\nJrADAEDHBHYAAOiYwA4AAB0T2AEAoGMCOwAAdExgBwCAjgnsAADQMYEdAAA6JrADAEDHBHYAAOiY\nwA4AAB2bN+oOAMBkFi1dvtF9K5ctmcGeAIyGEXYAAOiYwA4AAB0T2AEAoGMCOwAAdExgBwCAjgns\nAADQMYEdAAA6JrADAEDHBHYAAOiYwA4AAB0T2AEAoGMCOwAAdExgBwCAjs0bdQegN4uWLp90/8pl\nS2aoJwAARtgBAKBrAjsAAHRMYAcAgI6Zww7TtKk57gAAW5MRdgAA6JjADgAAHTMlBoBZyzKswPbA\nCDsAAHRMYAcAgI4J7AAA0DGBHQAAOiawAwBAxwR2AADo2MgCe1XtX1VfrKrrq+q6qvr9ofxJVXVZ\nVf1geN5jXJt3V9WKqrqhqo4ZV35EVX1n2PeBqqqhfKeq+vRQflVVLZrp4wQAgC0xyhH2tUn+Y2vt\nkCTPSfKWqjokydIkX2itHZzkC8PrDPtOSfKMJMcm+VBV7TC814eTvDHJwcPj2KH81CR3tdYOSnJG\nkvfNxIEBAMDWMqUfTqqqi6b5vq21dvwmKtya5NZh+56q+l6ShUmOT3LUUO2cJF9K8p+H8k+11h5K\ncmNVrUhyZFWtTLJba+3Koa/nJjkhySVDm9OG97ogyZ9XVbXW2jSPBwAARmKqv3T6smm+77QC8TBV\n5dlJrkqy9xDmk+QnSfYethcmuXJcs5uHsoeH7Q3L17W5KUlaa2ur6u4keyb56Qaf/6Ykb0qSAw44\nYDpdBwCAbWpKU2Jaa4/b1CPJC5J8fWhy6yRvt56q2jXJXyd5R2ttzQaf2zLN8L85WmtnttYWt9YW\nL1iwYFt/HAAATNkWz2GvqkOranmSy5P8SpL/mrF55FNpu2PGwvpfttYuHIpvq6p9h/37Jlk9lK9K\nsv+45vsNZauG7Q3L12tTVfOS7J7kjukcHwAAjNJmB/ZhlZezk3wzyQuTfCDJ01prp7fWHphC+0ry\n0STfa629f9yui5K8bth+XZLPjis/ZVj55akZ+6Pg6mH6zJqqes7wnq/doM269zopyeXmrwMAMJtM\ndQ77o4ZlFv9Lkjcn2SnJJ5P8QWtt5TTf6teTvCbJd6rqW0PZe5IsS3J+VZ2a5MdJfjNJWmvXVdX5\nSa7P2Aozb2mtPTK0e3OSs5PMz9jNppcM5R9N8vHhBtU7M7bKDAAAzBpTDuxVtVOSd2RsxZYnJrks\nyX9urX1r0oYb0Vr7SpLayO4XbqTN6UlOn6D8miSHTlD+YJKTN6d/AADQgylNiRlGu1ck+ZMkP0zy\n4tbaMZsb1gEAgKmZ6gj7RzK2Wss1Sc5P8qyqetYk9Vtr7Ywt7RwAAGzvpjOHvZL8q+GxKS1jvywK\nAABsgakG9hds017AZli0dPlG961ctmQGewIAsO1MKbC31v5+W3cEAAB4rC3+4SQAAGDbEdgBAKBj\nAjsAAHRMYAcAgI4J7AAA0DGBHQAAOiawAwBAxwR2AADomMAOAAAdE9gBAKBjAjsAAHRMYAcAgI4J\n7AAA0DGBHQAAOiawAwBAxwR2AADo2LxRdwBGYdHS5aPuAgDAlBhhBwCAjhlhZ04ygg4AzBVG2AEA\noGMCOwAAdExgBwCAjgnsAADQMYEdAAA6JrADAEDHBHYAAOiYwA4AAB0T2AEAoGMCOwAAdExgBwCA\njgnsAADQMYEdAAA6JrADAEDHBHYAAOiYwA4AAB0T2AEAoGMCOwAAdExgBwCAjgnsAADQMYEdAAA6\nJrADAEDHBHYAAOjYvFF3AAC2lUVLl0+6f+WyJTPUE4DNZ4QdAAA6JrADAEDHBHYAAOiYwA4AAB0T\n2AEAoGMCOwAAdExgBwCAjgnsAADQMYEdAAA6JrADAEDHBHYAAOiYwA4AAB0T2AEAoGMCOwAAdExg\nBwCAjgnsAADQMYEdAAA6JrADAEDH5o26A7Axi5YuH3UXAABGzgg7AAB0TGAHAICOCewAANAxgR0A\nADomsAMAQMdGFtir6qyqWl1V3x1XdlpVraqqbw2P48bte3dVraiqG6rqmHHlR1TVd4Z9H6iqGsp3\nqqpPD+VXVdWimTw+AADYGkY5wn52kmMnKD+jtXb48Lg4SarqkCSnJHnG0OZDVbXDUP/DSd6Y5ODh\nse49T01yV2vtoCRnJHnftjoQAADYVkYW2FtrVyS5c4rVj0/yqdbaQ621G5OsSHJkVe2bZLfW2pWt\ntZbk3CQnjGtzzrB9QZIXrht9BwCA2aLHOexvq6pvD1Nm9hjKFia5aVydm4eyhcP2huXrtWmtrU1y\nd5I9t2XHAQBga+stsH84yS8nOTzJrUn+bCY+tKreVFXXVNU1t99++0x8JAAATElXgb21dltr7ZHW\n2i+SfCTJkcOuVUn2H1d1v6Fs1bC9Yfl6bapqXpLdk9yxkc89s7W2uLW2eMGCBVvrcAAAYIt1FdiH\nOenrnJhk3QoyFyU5ZVj55akZu7n06tbarUnWVNVzhvnpr03y2XFtXjdsn5Tk8mGeOwAAzBrzRvXB\nVfXJJEcl2auqbk7y35IcVVWHJ2lJVib5D0nSWruuqs5Pcn2StUne0lp7ZHirN2dsxZn5SS4ZHkny\n0SQfr6oVGbu59ZRtf1QAALB1jSywt9ZeNUHxRyepf3qS0ycovybJoROUP5jk5C3pIwAAjFpXU2IA\nAID1CewAANAxgR0AADo2sjnsADBqi5Yu3+i+lcuWzGBPADbOCDsAAHRMYAcAgI4J7AAA0DGBHQAA\nOiawAwBAxwR2AADomMAOAAAdE9gBAKBjAjsAAHRMYAcAgI7NG3UH2H5N9pPgAACMMcIOAAAdE9gB\nAKBjAjsAAHRMYAcAgI4J7AAA0DGBHQAAOiawAwBAxwR2AADomMAOAAAdE9gBAKBjAjsAAHRMYAcA\ngI4J7AAA0DGBHQAAOiawAwBAxwR2AADomMAOAAAdE9gBAKBjAjsAAHRMYAcAgI4J7AAA0DGBHQAA\nOiawAwB+Dk5HAAASx0lEQVRAxwR2AADomMAOAAAdE9gBAKBjAjsAAHRMYAcAgI7NG3UHAKBHi5Yu\nn3T/ymVLZqgnwPbOCDsAAHRMYAcAgI4J7AAA0DGBHQAAOiawAwBAxwR2AADomMAOAAAdE9gBAKBj\nAjsAAHRMYAcAgI4J7AAA0LF5o+4AAMxGi5Yu3+i+lcuWzGBPgLnOCDsAAHRMYAcAgI4J7AAA0DGB\nHQAAOiawAwBAxwR2AADomMAOAAAdE9gBAKBjAjsAAHRMYAcAgI7NG3UHmNsm++luAAA2zQg7AAB0\nTGAHAICOCewAANAxgR0AADrmplM2abIbR1cuWzKDPQEA2P4YYQcAgI6NLLBX1VlVtbqqvjuu7ElV\ndVlV/WB43mPcvndX1YqquqGqjhlXfkRVfWfY94GqqqF8p6r69FB+VVUtmsnjAwCArWGUI+xnJzl2\ng7KlSb7QWjs4yReG16mqQ5KckuQZQ5sPVdUOQ5sPJ3ljkoOHx7r3PDXJXa21g5KckeR92+xIAABg\nGxnZHPbW2hUTjHofn+SoYfucJF9K8p+H8k+11h5KcmNVrUhyZFWtTLJba+3KJKmqc5OckOSSoc1p\nw3tdkOTPq6paa23bHNH2yQ8jAQBsW73NYd+7tXbrsP2TJHsP2wuT3DSu3s1D2cJhe8Py9dq01tYm\nuTvJntum2wAAsG30FtgfNYyEz8hoeFW9qaquqaprbr/99pn4SAAAmJLeAvttVbVvkgzPq4fyVUn2\nH1dvv6Fs1bC9Yfl6bapqXpLdk9wx0Ye21s5srS1urS1esGDBVjoUAADYcr0F9ouSvG7Yfl2Sz44r\nP2VY+eWpGbu59Oph+syaqnrOsDrMazdos+69TkpyufnrAADMNiO76bSqPpmxG0z3qqqbk/y3JMuS\nnF9Vpyb5cZLfTJLW2nVVdX6S65OsTfKW1tojw1u9OWMrzszP2M2mlwzlH03y8eEG1TsztsoMAADM\nKqNcJeZVG9n1wo3UPz3J6ROUX5Pk0AnKH0xy8pb0EQAARq23KTEAAMA4AjsAAHRMYAcAgI4J7AAA\n0DGBHQAAOiawAwBAxwR2AADomMAOAAAdE9gBAKBjI/ulUwCYqxYtXT7p/pXLlsxQT4C5wAg7AAB0\nTGAHAICOCewAANAxgR0AADomsAMAQMcEdgAA6JjADgAAHRPYAQCgYwI7AAB0TGAHAICOCewAANAx\ngR0AADomsAMAQMcEdgAA6JjADgAAHRPYAQCgYwI7AAB0TGAHAICOCewAANAxgR0AADomsAMAQMcE\ndgAA6JjADgAAHRPYAQCgYwI7AAB0TGAHAICOzRt1BwBge7No6fJJ969ctmSGegLMBkbYAQCgYwI7\nAAB0TGAHAICOCewAANAxgR0AADomsAMAQMcEdgAA6JjADgAAHfPDSQDQmcl+WMmPKsH2xwg7AAB0\nTGAHAICOCewAANAxgR0AADomsAMAQMcEdgAA6JjADgAAHRPYAQCgYwI7AAB0TGAHAICOCewAANCx\neaPuAKO3aOnyUXcBAICNENgBYBbZ1CDLymVLZqgnwEwxJQYAADomsAMAQMcEdgAA6JjADgAAHRPY\nAQCgYwI7AAB0TGAHAICOWYd9jphsXV5r8gIAzF5G2AEAoGMCOwAAdExgBwCAjgnsAADQMYEdAAA6\nJrADAEDHulzWsapWJrknySNJ1rbWFlfVk5J8OsmiJCuT/GZr7a6h/ruTnDrUf3tr7dKh/IgkZyeZ\nn+TiJL/fWmszeSwAMJMs8wtzT88j7C9orR3eWls8vF6a5AuttYOTfGF4nao6JMkpSZ6R5NgkH6qq\nHYY2H07yxiQHD49jZ7D/AACwxXoO7Bs6Psk5w/Y5SU4YV/6p1tpDrbUbk6xIcmRV7Ztkt9balcOo\n+rnj2gAAwKzQa2BvSf53VX2jqt40lO3dWrt12P5Jkr2H7YVJbhrX9uahbOGwvWE5AADMGl3OYU/y\n3Nbaqqp6cpLLquqfxu9srbWq2mpz0Yc/Ct6UJAcccMDWelsAANhiXY6wt9ZWDc+rk3wmyZFJbhum\nuWR4Xj1UX5Vk/3HN9xvKVg3bG5ZP9HlnttYWt9YWL1iwYGseCgAAbJHuAntVPb6qnrBuO8lLknw3\nyUVJXjdUe12Szw7bFyU5pap2qqqnZuzm0quH6TNrquo5VVVJXjuuDQAAzAo9TonZO8lnxjJ25iX5\nRGvt76rq60nOr6pTk/w4yW8mSWvtuqo6P8n1SdYmeUtr7ZHhvd6cf17W8ZLhsd2ZbIkvAAD61l1g\nb639KMmzJii/I8kLN9Lm9CSnT1B+TZJDt3YfAQBgpnQ3JQYAAPhnAjsAAHRMYAcAgI4J7AAA0DGB\nHQAAOiawAwBAxwR2AADoWHfrsAMA28amfkhv5bIlM9QTYDqMsAMAQMcEdgAA6JjADgAAHRPYAQCg\nYwI7AAB0TGAHAICOCewAANAxgR0AADomsAMAQMcEdgAA6JjADgAAHRPYAQCgYwI7AAB0bN6oOwAA\n9GHR0uWT7l+5bMkM9QQYzwg7AAB0TGAHAICOmRIDAEzJZFNmTJeBbccIOwAAdExgBwCAjgnsAADQ\nMYEdAAA6JrADAEDHBHYAAOiYwA4AAB0T2AEAoGMCOwAAdExgBwCAjs0bdQcAgNlv0dLlk+5fuWzJ\nDPUE5h4j7AAA0DGBHQAAOiawAwBAxwR2AADomJtOAYCRcsMqTE5gBwC2uU2FcmDjTIkBAICOCewA\nANAxU2IAgK6Z4872zgg7AAB0TGAHAICOCewAANAxgR0AADomsAMAQMcEdgAA6JjADgAAHbMOOwAw\nq022Trs12pkLjLADAEDHBHYAAOiYwA4AAB0zhx0AmLMmm9++Kea/0wsj7AAA0DGBHQAAOiawAwBA\nxwR2AADomMAOAAAds0oMAMAENrXCjFVkmClG2AEAoGNG2AEANoMReGaKEXYAAOiYEfZZYkt+qQ0A\nmHmT/b/b6DvTIbB3RCgHgO3Dlv4/X+DfvgjsAACzjNH77YvADgAwh7gZdu5x0ykAAHTMCDsAwHbE\ndJrZR2AHACDJtl0Awx8Dm2/OB/aqOjbJ/0iyQ5L/1VpbNuIuAQBsd8yt33xzOrBX1Q5JPpjkxUlu\nTvL1qrqotXb9aHsGAMB4WzK6P9fD/pwO7EmOTLKitfajJKmqTyU5PonADgAwR8z1sD/XV4lZmOSm\nca9vHsoAAGBWmOsj7FNSVW9K8qbh5b1VdcOIurJXkp+O6LNnI+drepyv6XG+psf5mh7na3qcr+lx\nvqah3jfS83XgVCrN9cC+Ksn+417vN5Stp7V2ZpIzZ6pTG1NV17TWFo+6H7OF8zU9ztf0OF/T43xN\nj/M1Pc7X9Dhf0zMbztdcnxLz9SQHV9VTq+qXkpyS5KIR9wkAAKZsTo+wt9bWVtVbk1yasWUdz2qt\nXTfibgEAwJTN6cCeJK21i5NcPOp+TNHIp+XMMs7X9Dhf0+N8TY/zNT3O1/Q4X9PjfE1P9+erWmuj\n7gMAALARc30OOwAAzGoC+wyoqmOr6oaqWlFVSyfYX1X1gWH/t6vqX0617Vw0hfP128N5+k5Vfa2q\nnjVu38qh/FtVdc3M9nw0pnC+jqqqu4dz8q2q+sOptp2LpnC+/tO4c/Xdqnqkqp407Nsev19nVdXq\nqvruRva7fo0zhfPl+jXOFM6X69c4Uzhfrl/jVNX+VfXFqrq+qq6rqt+foM7suIa11jy24SNjN7v+\nMMkvJ/mlJNcmOWSDOscluSRJJXlOkqum2nauPaZ4vn4tyR7D9kvXna/h9coke436ODo7X0cl+dzm\ntJ1rj+kec5LfSHL59vr9Go75eUn+ZZLvbmS/69f0zpfr1/TOl+vXNM7XBnVdv5J9k/zLYfsJSb4/\nWzOYEfZt78gkK1prP2qt/TzJp5Icv0Gd45Oc28ZcmeSJVbXvFNvONZs85tba11prdw0vr8zY+vrb\nqy35jvh+bfqYX5XkkzPSs0611q5IcuckVVy/xtnU+XL9Wt8Uvl8b4/u1aa5frd3aWvvHYfueJN/L\nY3/xflZcwwT2bW9hkpvGvb45j/2ybKzOVNrONdM95lMz9pfxOi3J/66qb9TYL9jOdVM9X782/FPf\nJVX1jGm2nUumfMxVtUuSY5P89bji7e37NRWuX5tve79+TZXr1zS5fj1WVS1K8uwkV22wa1Zcw+b8\nso7MXVX1goz9D++544qf21pbVVVPTnJZVf3TMCKxPfvHJAe01u6tquOS/E2Sg0fcp9ngN5J8tbU2\nfjTL94utwvVryly/No/r1zhVtWvG/nh5R2ttzaj7szmMsG97q5LsP+71fkPZVOpMpe1cM6Vjrqpn\nJvlfSY5vrd2xrry1tmp4Xp3kMxn7J625bJPnq7W2prV277B9cZIdq2qvqbSdg6ZzzKdkg39O3g6/\nX1Ph+jVNrl9T5/q12Vy/BlW1Y8bC+l+21i6coMqsuIYJ7Nve15McXFVPrapfyth/RBdtUOeiJK8d\n7lR+TpK7W2u3TrHtXLPJY66qA5JcmOQ1rbXvjyt/fFU9Yd12kpckmfBO+jlkKudrn6qqYfvIjP13\nf8dU2s5BUzrmqto9yfOTfHZc2fb4/ZoK169pcP2aHtev6XP9+mfDd+ejSb7XWnv/RqrNimuYKTHb\nWGttbVW9NcmlGbvj+KzW2nVV9bvD/v+ZsV9iPS7JiiT3J3nDZG1HcBgzZorn6w+T7JnkQ8N1fG1r\nbXGSvZN8Ziibl+QTrbW/G8FhzJgpnq+TkvxeVa1N8kCSU9rYLfC+XxOfryQ5McnnW2v3jWu+3X2/\nkqSqPpmxlTr2qqqbk/y3JDsmrl8TmcL5cv0aZwrny/VrnCmcr8T1a7xfT/KaJN+pqm8NZe9JckAy\nu65hfukUAAA6ZkoMAAB0TGAHAICOCewAANAxgR0AADomsAMAQMcEdgAmVVVHVVWrqtdvRttWVWdP\nse5pQ/1FG5QfXlVfqKq7hv2nTbcfALOZddgB6FZVzcvYrxTumOS/JvlZkm8Pof71Sf6mtfatjbUH\nmAuMsAPQiz9OMj/Jj8eV/fLw+H9ba3/eWjuvtfbtJIsy9qMxh894LwFmmBF2gDmoqnZIslNr7f5R\n92WqWmtrk6zdoHif4fnOGe4OQDeMsAPMclX1+mFu94uq6r9W1Q+TPJjkN4f9i6vqM1X106p6qKpu\nqKr/Mkw32fC9jq+qb1bVg1V1U1X9UYafPt+g3s7DnPMbqur+qvpZVX2nqv6fjfTx31TV31fVfVV1\nR1X9r6radYM6681hr6ovJfn7YffHhn3r5tJ/cYLyL03/7AH0zwg7wNzxpxkL1x9JsibJDVW1JMmF\nSVYk+bOMjVT/myT/PWPTSU5e17iqTszYfPGVw/61Sd6QZMkEn/XBJP8+yblJ3p+x/58cnOToCeoe\nnuRzST6W5BNJjkpyapJfJHnTJMdzepKvJnlPkjOTfHko/2aSP5mg/LZJ3gtg1hLYAeaO+UmevW4a\nTFXtnLHwfVWSo4cpJ0nyF1V1bZL3V9VRrbUvDVNo/kfGAv2RrbWfDu/xF0m+PcFnnZjkktba66bQ\nr2cm+TettavGff5uSd5QVf9Xa+3eiRq11i6rqoczFsz/obV23rp9VXXZROUAc5EpMQBzx4c3mLP+\n4iR7Z2xk+4lVtde6R5KLhzovGZ6PSLJ/ko+tC+tJ0lq7O8n/nOCz7k7yjKo6dAr9+odxYX2dyzM2\naLRoCu0BtmtG2AHmju9v8PpXh+ezJmmz9/D8y8PzP01Q5/oJyt6R5ONJvlNVP8rYnPK/TfK3rbVf\nbFD3RxO0v2N43nOSvgEQgR1gLtlwRZganv9Tko2tVX7L5nxQa+2zw82hxyV5fpIXZWxe+per6kWt\ntZ+Pq/7IJG9Vk+wDIAI7wFz2g+H5vtba/95E3XWj4E+fYN8hEzVord2Z5Lwk51VVJVmW5P9OcnyS\nv5p+d6elbeP3B+iGOewAc9elSVYnWVpVT9pwZ1XNr6onDC+/keTmjN0Iute4Orsl+d0N2u1QVU8c\nX9ZaaxlbvSVJHvNZ28C6G1Vn4rMARsoIO8Ac1Vq7r6pem+RvMrbE41kZW97xiRkbSX95xlZ7+VJr\n7ZGqemeS85NcXVUfydiyjv8+Y/PNDxj31k9IcmtVXZSxkL46yVOT/F6SuzI2l31buz7JPUneXFX3\nJ/lZktWttctn4LMBZpTADjCHtdYurap/lWRpklcnWZCxUP3DjK2f/u1xdS+oqpOS/GGS0zIWxM9O\nckX+//bu0AahIAqi6KzC0BVNUBAJllqQNEQHIB/iI7CgJuScAjYrb7KTbHL7OPaR5JLkkG27vk9y\nT3JNcp6Zn3bx35iZ51rrmOT0vssu2ydLgh34O2t7xQQAABrZsAMAQDHBDgAAxQQ7AAAUE+wAAFBM\nsAMAQDHBDgAAxQQ7AAAUE+wAAFBMsAMAQDHBDgAAxV6nqvG77kIHTAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2b3cf4ce5150>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12,12))\n",
    "plt.hist(sz4,bins=80,range=(0.,2.),label = \"22<i<23\")\n",
    "plt.xlabel(\"redshift\",fontsize=18)\n",
    "plt.ylabel(\"N\",fontsize=18)\n",
    "plt.legend(loc=\"upper left\",fontsize=17)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x2b3cf4f54610>"
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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rybeSXJTkZcNmL0ty4bB8UZKThplf9ktyQJKvDMNnbq+qpwzj01+6Xp21+zoxyeeGce4A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\nvwBwaYR1QXtubQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2b3cf511dc90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12,12))\n",
    "plt.hist(sz5,bins=80,range=(0.,2.),label = \"23<i<24\")\n",
    "plt.xlabel(\"redshift\",fontsize=18)\n",
    "plt.ylabel(\"N\",fontsize=18)\n",
    "plt.legend(loc=\"upper left\",fontsize=17)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x2b3cf519f650>"
      ]
     },
     "execution_count": 45,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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Mxqgv6wgAAGzASGfYAZgZXIEGYHTMsAMAQMfMsAN0xEw2AGsyww4AAB0zww7AZrWxfzUA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\ny607OwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2b3cf5212c10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12,12))\n",
    "plt.hist(sz6,bins=80,range=(0.,2.),label = \"24<i<25\")\n",
    "plt.xlabel(\"redshift\",fontsize=18)\n",
    "plt.ylabel(\"N\",fontsize=18)\n",
    "plt.legend(loc=\"upper left\",fontsize=17)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x2b3cf5515390>"
      ]
     },
     "execution_count": 46,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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ViUn+NcmxSdJau7aqzk9yXZIVSd7YWntk2NcbkpydZG7Gfmz6xaH8zCR/PfxA9a6MzTID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\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2b3cf54a90d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12,12))\n",
    "plt.hist(sz7,bins=80,range=(0.,2.),label = \"25<i<25.3\")\n",
    "plt.xlabel(\"redshift\",fontsize=18)\n",
    "plt.ylabel(\"N\",fontsize=18)\n",
    "plt.legend(loc=\"upper left\",fontsize=17)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [],
   "source": [
    "xdata = gc.get_quantities(['mag_g_des','mag_r_des','mag_z_des'])\n",
    "g = xdata['mag_g_des']\n",
    "r = xdata['mag_r_des']\n",
    "z = xdata['mag_z_des']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [],
   "source": [
    "maskx = np.logical_and(np.logical_not((np.isnan(i))),np.logical_and(np.logical_not((np.isnan(r))),np.logical_not((np.isnan(g)))))\n",
    "xg = g[maskx]\n",
    "xr = r[maskx]\n",
    "xi = i[maskx]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x2b3cf59e8c10>"
      ]
     },
     "execution_count": 58,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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LEZ6eOpQpw/rjXHv05MZDvPHjsWSdqyR+dAgm09V/R5UtB65dS5f+t2geutba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\nsECHOgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2b3cf59e8850>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(xg,xr,marker='.',s=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}