Skip to content

Instantly share code, notes, and snippets.

@dokeeffe
Created July 14, 2017 21:17
Show Gist options
  • Star 0 You must be signed in to star a gist
  • Fork 0 You must be signed in to fork a gist
  • Save dokeeffe/fb5434ffa922843879c6743c83b493b4 to your computer and use it in GitHub Desktop.
Save dokeeffe/fb5434ffa922843879c6743c83b493b4 to your computer and use it in GitHub Desktop.
Spectra plot with astropy and matplotlib
Display the source blob
Display the rendered blob
Raw
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Plotting spectra using python, astropy and matplotlib\n",
"\n",
"Data taken from this SGL post https://stargazerslounge.com/topic/296183-linux-image-preprocessing-project-asterism/#comment-3244596\n",
"\n",
"Raw, uncalibrated data used for plots"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(1040, 1392)"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import os\n",
"import numpy as np\n",
"from astropy import units as u\n",
"from ccdproc import CCDData\n",
"from scipy import stats\n",
"import matplotlib.pyplot as plt\n",
"from photutils import aperture_photometry, CircularAperture\n",
"%matplotlib inline\n",
"plt.style.use('classic')\n",
"\n",
"spectra = CCDData.read('/home/dokeeffe/Downloads/PCyg_Light_002.fits', unit=u.adu)\n",
"spectra.shape"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Plot the image\n",
"The data has been loaded from the file into `spectra` above. Now plot the image\n"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x7fbffdb82390>"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAABJIAAANjCAYAAADxhDAtAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAAMTQAADE0B0s6tTgAAIABJREFUeJzs3W2sZdVdP/Dfuffc57n3zhNBRpCnaNMm1ZkiGDtAIjES\nW1oC1qQhMcESG8NUa9FEXqhDYtL4YrTzBom2QcQXbU0NI22aTnwAJEoN1JmS0VgTydCxtNVh5t4z\nw3089+z/C/5rzzp7zgwL5sJl4PNJdmDO2Q/r7L3PPmt919r7tqqqqgIAAAAAXsPQRhcAAAAAgIuD\nIAkAAACAIoIkAAAAAIoIkgAAAAAoIkgCAAAAoIggCQAAAIAi7Y0uwBvR6/XipZdeiunp6Wi1Whtd\nHAAAAICLXlVVcerUqdixY0cMDQ0ee3RRBkkvvfRSXHHFFRtdDAAAAIB3nGPHjsXll18+8L2L8ta2\n6enpjS4CAAAAwDvS+XKXizJIcjsbAAAAwJvjfLnLRRkkAQAAAPDWEyQBAAAAUESQBAAAAEARQRIA\nAAAARQRJAAAAABQRJAEAAABQRJAEAAAAQBFBEgAAAABFBEkAAAAAFBEkAQAAAFBEkAQAAABAEUES\nAAAAAEUESQAAAAAUESQBAAAAUESQBAAAAEARQRIAAAAARQRJAAAAABQRJAEAAABQRJAEAAAAQBFB\nEgAAAABFBEkAAAAAFBEkAQAAAFBEkAQAAABAkaIg6Utf+lLcdNNNMTMzE61WK7rdbt/7zz//fNx8\n880xNTUVO3bsiAceeCCqqqrfr6oq9u7dGzt27Iipqam4+eab48iRI69rHQAAAABsrKIgacuWLXHv\nvffG/v37z3rv1KlTceutt8bu3bvj+PHjcfDgwfjCF77QN+++ffvi4YcfjoMHD8bx48dj9+7dceut\nt8bp06eL1wEAAADABqtehyeeeKKKiGp1dbV+7ZFHHqkuueSSvtf2799fXXPNNfW/r7rqqmr//v31\nv1dXV6vt27dXjz76aPE6cvPz81VEmEwmk8lkMplMJpPJZDKZ1nman58/ZzZ0wc9IOnz4cOzatSva\n7Xb92vXXXx8vvPBCdDqdmJ+fj6NHj8YNN9xQv99ut2PXrl1x6NChonUAAAAAsPEuOEjqdDqxefPm\nvte2bNlSv5eCoEHzpPdeax0AAAAAbLwLDpJmZmZibm6u77WTJ0/W783MzEREDJwnvfda6wAAAABg\n411wkLRz5844dOhQ319ye+655+Kaa66JmZmZmJ2djauuuiqeffbZ+v1ut1vfzlayDgAAAAA2XlGQ\ntLa2FktLS7GyshIREcvLy7G0tBS9Xi/uvPPOGB4ejr1798bi4mIcOXIk9u3bF3v27KmXv/fee2Pf\nvn1x5MiRWFxcjL1798bIyEjccccdERFF6wAAAABgg5X8tba/+Iu/GPgU7yeeeKKqqqr69re/Xd14\n443VxMREdemll1Z79+6ter1evXyv16t+//d/v7r00kuriYmJ6qabbqqef/75vm281jr81TaTyWQy\nmUwmk8lkMplMpjd/Ot9fbWtVVVXFRabT6cTs7OxGFwMAAADgHWd+fv6cjxq64GckAQAAAPDuIEgC\nAAAAoIggCQAAAOBt4u3+BCJBEgAAAABFBEkAAAAAbxOtVmuji3BegiQAAAAAigiSAAAAACgiSAIA\nAACgiCAJAAAAgCKCJAAAAACKCJIAAAAAKCJIAgAAAKCIIAkAAACAIoIkAAAAAIoIkgAAAAAoIkgC\nAAAAoIggCQAAAIAigiQAAAAAigiSAAAAACgiSAIAAACgiCAJAAAAgCKCJAAAAACKCJIAAAAAKCJI\nAgAAAKCIIAkAAACAIoIkAAAAAIoIkgAAAAAoIkgCAAAAoIggCQAAAIAigiQAAAAAigiSAAAAACgi\nSAIAAACgiCAJAAAAgCKCJAAAAACKCJIAAAAAKCJIAgAAAKCIIAkAAACAIoIkAAAAAIoIkgAAAAAo\nIkgCAAAAoIggCQAAAIAigiQAAAAAigiSAAAAACgiSAIAAACgiCAJAAAAgCKCJAAAAACKCJIAAAAA\nKCJIAgAAAKCIIAkAAACAIoIkAAAAAIoIkgAAAAAoIkgCAAAAoIggCQAAAIAigiQAAAAAigiSAAAA\nACgiSAIAAACgiCAJAAAAgCKCJAAAAACKCJIAAAAAKCJIAgAAAKCIIAkAAACAIoIkAAAAAIoIkgAA\nAAAoIkgCAAAAoIggCQAAAIAigiQAAAAAigiSAAAAACgiSAIAAACgiCAJAAAAgCKCJAAAAACKCJIA\nAAAAKCJIAgAAAKCIIAkAAACAIoIkAAAAAIoIkgAAAAAoIkgCAAAAoIggCQAAAIAigiQAAAAAigiS\nAAAAACgiSAIAAACgiCAJAAAAgCKCJAAAAACKCJIAAAAAKCJIAgAAAKCIIAkAAACAIoIkAAAAAIoI\nkgAAAAAoIkgCAAAAoIggCQAAAIAigiQAAAAAigiSAAAAACgiSAIAAACgiCAJAAAAgCKCJAAAAACK\nCJIAAAAAKCJIAgAAAKCIIAkAAACAIoIkAAAAAIoIkgAAAAAoIkgCAAAAoIggCQAAAIAigiQAAAAA\nigiSAAAAACgiSAIAAACgiCAJAAAAgCKCJAAAAACKCJIAAAAAKCJIAgAAAKCIIAkAAACAIoIkAAAA\nAIoIkgAAAAAoIkgCAAAAoIggCQAAAIAigiQAAAAAigiSAAAAACgiSAIAAACgiCAJAAAAgCKCJAAA\nAACKCJIAAAAAKCJIAgAAAKCIIAkAAACAIoIkAAAAAIoIkgAAAAAoIkgCAAAAoIggCQAAAIAigiQA\nAAAAigiSAAAAACgiSAIAAACgiCAJAAAAgCKCJAAAAACKCJIAAAAAKCJIAgAAAKCIIAkAAACAIoIk\nAAAAAIoIkgAAAAAoIkgCAAAAoIggCQAAAIAigiQAAAAAigiSAAAAACgiSAIAAACgiCAJAAAAgCKC\nJAAAAACKCJIAAAAAKCJIAgAAAKCIIAkAAACAIoIkAAAAAIoIkgAAAAAoIkgCAAAAoIggCQAAAIAi\ngiQAAAAAigiSAAAAACiyrkHSD3/4w7jrrrvi0ksvjc2bN8fP/uzPxlNPPVW//+STT8YHPvCBmJyc\njKuvvjoeeuihvuWXl5djz549sX379pieno7bbrstjh07tp5FBAAAAOANWtcg6d57741jx47FkSNH\n4uWXX46Pfexjcdttt8WJEyfixRdfjA9/+MNxzz33xNzcXDzyyCNx//33x2OPPVYvf99998XTTz8d\n3/rWt+J73/tebN26NT760Y9Gr9dbz2ICAAAA8Aa0qqqq1mtlP/VTPxWf+MQn4tOf/nRERJw+fTqm\np6fjm9/8ZnzjG9+IAwcOxKFDh+r5P/OZz8Tzzz8f//AP/xBLS0uxdevW+OIXvxi33357REQcP348\nLrvssvjHf/zHuOmmm+rlOp1OzM7OrlexAQAAAPj/5ufnY2ZmZuB76zoi6Xd/93fjwIED8f3vfz9W\nV1fjwQcfjGuvvTZ+8id/Mg4fPhw33HBD3/zXX399HSx95zvficXFxb55tm/fHldffXVf+AQAAADA\nxmiv58p2794df/VXfxU7duyI4eHh2Lp1azz22GMxMTERnU4nfuInfqJv/i1btkSn04mIqP+7efPm\nc84DAAAAwMZZtxFJvV4vbrnllviRH/mRePnll2NpaSk+//nPx4c+9KE4fPhwzMzMxNzcXN8yJ0+e\nrIdKpf+ebx4AAAAANs66BUknT56MF154IX7zN38ztm7dGu12O26//fa49tpr4+DBg7Fz58549tln\n+5Z57rnnYteuXRER8Z73vCcmJib65jl+/HgcPXq0ngcAAACAjbNuQdK2bdvive99bzz44IPR6XSi\n1+vF1772tfj3f//3uO666+Luu++O//zP/4yHHnooVlZW4umnn46HH3449uzZExER4+Pj8au/+qvx\nB3/wB/Hd7343Tp06Fb/9278d73vf+2L37t3rVUwAAAAA3qhqHf3Xf/1Xdfvtt1eXXHJJNT09Xb3v\nfe+r/uzP/qx+/4knnqh27txZjY+PV1deeWX14IMP9i2/tLRU3XvvvdXWrVurqamp6kMf+lD13e9+\n96ztzM/PVxFhMplMJpPJZDKZTCaTyWRa52l+fv6c2U+rqqoqLjKdTidmZ2c3uhgAAAAA7zjz8/Pn\nfF71ut3aBgAAAMA7myAJAAAAgCKCJAAAAACKCJIAAAAAKCJIAgAAAKCIIAkAAACAIoIkAAAAAIoI\nkgAAAAAoIkgCAAAAoIggCQAAAIAigiQAAAAAigiSAAAAACgiSAIAAACgiCAJAAAAgCKCJAAAAACK\nCJIAAAAAKCJIAgAAAKCIIAkAAACAIoIkAAAAAIoIkgAAAAAoIkgCAAAAoIggCQAAAIAigiQAAAAA\nigiSAAAAACgiSAIAAACgiCAJAAAAgCKCJAAAAACKCJIAAAAAKCJIAgAAAKCIIAkAAACAIoIkAAAA\nAIoIkgAAAAAoIkgCAAAAoIggCQAAAIAigiQAAAAAigiSAAAAACgiSAIAAACgiCAJAAAAgCKCJAAA\nAACKCJIAAAAAKCJIAgAAAKCIIAkAAACAIoIkAAAAAIoIkgAAAAAoIkgCAAAAoIggCQAAAIAigiQA\nAAAAigiSAAAAACgiSAIAAACgiCAJAAAAgCKCJAAAAACKCJIAAAAAKCJIAgAAAKCIIAkAAACAIoIk\nAAAAAIoIkgAAAAAoIkgCAAAAoIggCQAAAIAigiQAAAAAigiSAAAAACgiSAIAAACgiCAJAAAAgCKC\nJAAAAACKCJIAAAAAKCJIAgAAAKCIIAkAAACAIoIkAAAAAIoIkgAAAAAoIkgCAAAAoIggCQAAAIAi\ngiQAAAAAigiSAAAAACgiSAIAAACgiCAJAAAAgCKCJAAAAACKCJIAAAAAKCJIAgAAAKCIIAkAAACA\nIoIkAAAAAIoIkgAAAAAoIkgCAAAAoIggCQAAAIAigiQAAAAAigiSAAAAACgiSAIAAACgiCAJAAAA\ngCKCJAAAAACKCJIAAAAAKCJIAgAAAKCIIAkAAACAIoIkAAAAAIoIkgAAAAAoIkgCAAAAoIggCQAA\nAIAigiQAAAAAigiSAAAAACgiSAIAAACgiCAJAAAAgCKCJAAAAACKCJIAAAAAKCJIAgAAAKCIIAkA\nAACAIoIkAAAAAIoIkgAAAAAoIkgCAAAAoIggCQAAAIAigiQAAAAAigiSAAAAACgiSAIAAACgiCAJ\nAAAAgCKCJAAAAACKCJIAAAAAKCJIAgAAAKCIIAkAAACAIoIkAAAAAIoIkgAAAAAoIkgCAAAAoIgg\nCQAAAIAigiQAAAAAigiSAAAAACgiSAIAAACgiCAJAAAAgCKCJAAAAACKCJIAAAAAKCJIAgAAAKCI\nIAkAAACAIoIkAAAAAIoIkgAAAAAoIkgCAAAAoIggCQAAAIAigiQAAAAAigiSAAAAACgiSAIAAACg\niCAJAAAAgCKCJAAAAACKCJIAAAAAKCJIAgAAAKCIIAkAAACAIoIkANgAVVVFVVUbXQwAAHhd2htd\nAAB4N2q1WhtdBAAAeN2MSAIAAACgiCAJAAAAgCKCJAAAAACKCJIAAAAAKCJIAgAAAKCIIAkAAACA\nIoIkAAAAAIoIkgAAAAAoIkgCAAAAoIggCQAAAIAi6xokPfPMM3HLLbfE9PR0bN68OT74wQ9Gr9eL\niIjnn38+br755piamoodO3bEAw88EFVV1ctWVRV79+6NHTt2xNTUVNx8881x5MiR9SweAAAAABdg\n3YKkZ555Jn7xF38x7r777vjhD38Yx48fj8997nPRarXi1KlTceutt8bu3bvj+PHjcfDgwfjCF74Q\n+/fvr5fft29fPPzww3Hw4ME4fvx47N69O2699dY4ffr0ehURAAAAgAtRrZMbb7yxuu+++wa+98gj\nj1SXXHJJtbq6Wr+2f//+6pprrqn/fdVVV1X79++v/726ulpt3769evTRR89a3/z8fBURJpPJZDKZ\nTCaTyWQymUymdZ7m5+fPmf+sy4ikhYWF+Jd/+ZcYHh6OG264IbZt2xbXXXdd/M3f/E1ERBw+fDh2\n7doV7Xa7Xub666+PF154ITqdTszPz8fRo0fjhhtuqN9vt9uxa9euOHTo0HoUEQAAAIAL1H7tWV7b\niRMnotfrxV/+5V/G1772tdi1a1c8/vjj8fGPfzyeeuqp6HQ6sXnz5r5ltmzZEhERnU6nflbSoHk6\nnc56FBEAAACAC7QuI5Kmp6cjIuLuu++O66+/Ptrtdtx5553xcz/3c3HgwIGYmZmJubm5vmVOnjwZ\nEREzMzMxMzMTETFwnvQeAAAAABtrXYKk2dnZuPbaa6PVag18f+fOnXHo0KHodrv1a88991xcc801\nMTMzE7Ozs3HVVVfFs88+W7/f7XbrW+IAAAAA2Hjr9lfbfuM3fiMeeeSROHz4cPR6vXj88cfjqaee\nijvvvDPuvPPOGB4ejr1798bi4mIcOXIk9u3bF3v27KmXv/fee2Pfvn1x5MiRWFxcjL1798bIyEjc\ncccd61VEAAAAAC7AujwjKSLi05/+dCwsLMRHPvKRmJubix//8R+PL3/5y/EzP/MzERFx8ODB2LNn\nT2zbti1mZmbi13/91+Mzn/lMvfzv/M7vxKlTp+Lnf/7no9PpxE//9E/HN77xjdi0adN6FREAAACA\nC9Cq0pOuLyKdTidmZ2c3uhgAAAAA7zjz8/PnfGb1ut3aBgAAAMA7myAJAAAAgCKCJAAAAACKCJLg\nLVBVVVyEjyMDAACAPoIkAAAAAIq0N7oA8G7QarU2uggAAABwwYxIAgAAAKCIIAkAAACAIoIkAAAA\nAIoIkgAAAAAoIkgCAAAAoIggCQAAAIAigiQAAAAAigiSAAAAACgiSAIAAACgiCAJAAAAgCKCJAAA\nAACKCJIAAAAAKCJIAgAAAKCIIAkAAACAIoIkAAAAAIoIkgAAAAAoIkgCAAAAoIggCQAAAIAigiQA\nAAAAigiSAAAAACgiSAIAAACgiCAJAAAAgCKCJABgoKqqoqqqjS4GAABvI+2NLgAA8PbUarU2uggA\nALzNGJEEAAAAQBFBEgAAAABFBEkAAAAAFBEkAQAAAFBEkAQAAABAEUESAAAAAEUESQAAAAAUESQB\nAAAAUESQBAAAAEARQRIAAAAARQRJAAAAABQRJAEAAABQRJAEAAAAQBFBEgAAAABFBEkAAAAAFBEk\nAQAAAFBEkAQAAABAEUESAAAAAEUESQAAAAAUESQBAAAAUESQBAAAAEARQRIAAAAARQRJAAAAABQR\nJAEAAABQRJAEAAAAQBFBEgAAAABFBEkAAAAAFBEkAQAAF6WRkZGYmJiIoSHNGmD9tFqtjS7C21p7\nowsAAMDFqdVqRVVVG10M3oXa7XaMjY3F9PR0bNq0Kebm5mJ+fj5arVb0er3odrvRarViaGgo1tbW\nNrq4r2l4eLi4nK9n3gvVbrej2+2e9VpERLfb7SvLyMhI9Hq9+t/tdjtarVasrq4OXG9aR254eDha\nrVY95a9XVRVVVcXy8vLAco2OjsbKykpdlogz16hBZThXmdJ2UhnSNa7VakW3242RkZH6tW63G+12\n+6z507/Tcr1er/7/ZGhoKKqqil6vV/9//plGRkZibW1t4P4YpKqqej2pHM1rdHOetbW1OoTNy55/\nnnzZQWVIyw0NDdWfc9DvQnNdaf+lz5qXt1nOfPv5OfZG5ccqL1cqf0T/OZfKm8qUr2dtbe0NfSeH\nh4frbQ46VueTB+d5md9KgiQALmpvpCGbV3bebHmlY70a3K+n/K/3s15IAyVVzJrbezP2d7vdjl6v\nV6/3fOUu2f7Q0FBfZXLQulKl/rXW1W6368r50NDQWQ2YkZGRs15L208N34hXK4fNRtjw8HBd+UwN\nprGxsVheXo7R0dF6u2mZ1DBK52GzoZIaYyMjI/U+TBX4tD9SOdL20jbzBl+32+1rDLVarVhaWoqx\nsbH6vF9ZWYnx8fFYWlqKiIiJiYlYXFys1zk+Pt63zaqq6m1OTk7Wn63ZYEvrGBsbG9hIS+uLiLpc\nafvNynv+Xq/Xi+Xl5frfEdE33/j4eN+xe+WVV2JycrL+/7SP8kbo8PBwXZZXXnklIiKmpqbq/4+I\n2LRpU32sFhYW6tE2rVYrTp8+XS+Tzv92u10vv2nTprOOd7Nx2G6363M0vzZVVVWX79SpUxERMTMz\nU39/hoaG6nAmnYv596TZcM4bgmkdnU4nIiJmZ2f7lsv3Y2pYD2rkjY2NRa/Xi+Hh4RgfH49LLrkk\nbrzxxnj/+98fX/3qV+M//uM/otPp1Odkvo18nXmjfXh4uO8zps+UX8/S9zJ9N4eHh2NlZaVuRDYb\n7Wn9qYGZf6/Tcs19k45N3qhcW1urv8ODpO96CnCa8vJ1u916vem8TK/nQUL6fPkxzc+ffH/l22nu\n6/RZ8mPcbrdjdXW13l5aX/67kX+WXq8XIyMjMTQ0FJOTk7G8vBzLy8v1dbEZ1KytrcX09HR9buZB\nYn4sm+dc/noeGqTPkvZJvg+anzltp/k9yc/r5vVmeHg42u12rKys1Mc93/fpHB0dHa3Xl5+f+T5M\nnyG/JuefL5UlnZfNQCjfdtr3zfM4ffdSWfNzJG0nfZ50jqTzrXntSOvIz/1820nar2mZNI2Ojsby\n8vJZ86bPMCg4TOdufi1M8v2Znx+D3m8eq7TePGDM91VT8zcsfVfy8zXfR/lvcvMczs/H/HqZH7/m\ntSm9t7Kyctbv+LlCtUFa1UXYjdTpdPp+gOCdotmT8XZQ2khv9ti81jLnmud8PR/N+c/V25Iv07zY\n5pWfQZXUJP8BjDj7Ypp+XPL1pQtzs6en+SOe/xC8nhAk74mJiL4GyqDPkx+P9N/8szd/LPIfl/Tf\nXLOBlj5b3mBuVsCbP1rNXqa8ApT/eOaV/na7XVcku91uvb3UCErz5w2afPt547j5o978jOmHv7nP\n0zrTtpuBSfMcGtRgae735g9+qtDkjeW0zLkq7c2KY1N+DufbbQYVeaUmvwblDZ3mdSn//M0KYH6e\n5z2q+TnSbOTn+zX/Xqf15O8P+hzpHMwbvKmxnCp5eUMq/+6Njo7G0tJS3Xuef8a8xzg/p7rdboyN\njdXBUt5oStK5Nzw8HCMjI3XDtllRzI9vs6c/39fNY9z8d5o/bStvKKYyj4yM9FVa8+ORN2LX1tbq\nEKjX68X4+HhfWdP38sknn6y3f9NNN9VBTJonnz8PqUZHR+tRI81tpzKnfZGPPMgrxen11NjOGyv5\n9tM20vc7H6mSnz/Dw8OxurraN4qiqqo6oEsN3GZIlzcGmg3PtFweQOafJw8mmte4tI/y70/6bKur\nq33fr4gz4V7a1srKSl/glL4j6RxI6+p2u33BWET0XddTYy0dp6R5/U3HODWm8u9tKlN+vo2OjvZd\ny9N+TJ9pdXW1L1wcHx+PqqpifHw8Pv/5z0eJX/u1X4vV1dVYWVmJbrdbH9/8+5o3utN+GB4e7gtn\n0/7qdrvx13/91xERcffdd8fKykrfZ11aWur7XqegJ18+7d88mMjPo3NdG/PrZzqH85EwKXRN203b\nW1tbi7W1tTh9+nTdwJ+YmKivg2m9+fmbH7d0Xcmvp2n7KczJg45UvjzUHhsbi4io50/nbqvVisXF\nxTogzK/JeYgyPT0dP/qjPxonT56M73//+/V+y78f+Xmf1jHo+z8oxE/LpXM5XTPTZ0rlTvOOj4/X\nxzK/TufhVv77lTfY0/5pt9v1fut2u7G8vNz3/c2PZWr0D7qm5fJzYXR0tO94pLI2P1szeEidAvl7\n6dxs/r7n3+dBdd48sMy/5+n7l5bPrx9pm/n/p86XdH6kY/jKK6/Uv3Vp3+TXn/yam9dDW63WWfug\nWRfPw85m3WhQ/S8/Fs22Rb7+fL3pvTwwSsvl9ey0P9JvUF4vatb7m3X/QfOncyetM32fm22mpaWl\nmJ+fj5mZmRhEkMQ7VrMx3Wz4DwoRmg2U9KPT/FKe60va/ALmPQT562m5ZqM2r5Q1U/+83M0Genot\nH/46KNRpXqDyC05+sR8U2AzaZ811NwOUZiV90DFpXozzC3auWd60fwY10vMKSvqRSttI688bh80k\nP32WvFep2ZBLrzV7b5o9SYN6FvKKf9pHzQZ0M8hK8h/D/Pjk+ynfJ/lxyBtb+XmXH/u8nKnim1dc\n8m02K43NhnzaVl4RXVtbqyvmadupvHklNi3barVidnY2vvKVr9Tbuuuuu+pe7XzfpvXln7vX68Xk\n5GTfOZA3bPN9kypzmzZt6mtkpn0QEfXIgM997nMREfGpT32q77xfWVmpKzHNkCo1itI60zEaGxuL\nP/qjP4r777+/Xuazn/1sAPDO8cwzz0TEq6PZJicno9frxcLCQl1fyW/xSf+/tLTU93oafZhG9aTf\ntTxozesXKZA7ffp0HD16NObm5uKSSy6J6enpGBkZqQO29HuY6i6pDCnwO336dN2Y73a7MTExUTfm\n0/wpFEq3l6UQshkS5CF2Hl6kQCqNNEn/rqoqrrjiinj/+98fR44ciaNHj8Yrr7xSBz6pPpICkEH1\nr/Re3jDPO6vW1tZiYWGhXu6VV16pQ9b033SrXAqS8vpWXudI5cpvgcvrbWn+qqpiy5YtUVVVzM/P\n18d0ZGSkL5DMl81HAY6NjcXq6upZnSXpfGh2bqR1NYOwdK6kfdkMndJrqU7YPMfyYCuFXXmHQFNa\nVwq08vA9yevjeadQ2serq6uxsLAQCwsLdQCYOmxSKJnOr1S3zet06bilYCavg+bfg7xOm7d3mu2B\nZgDc3P/5dzWv4zc7dHJpZFdaJq0nP7fzsubtznyb6TikY5XOvWZAls6/vG7f6XQESbw7NBvczaQ9\nIs66h7kZmuSvJ/mQ27yXKeJMwzxv/OeN5ryB2QyfmtvLe0Sb4VE+77n+P83fDH3y0CYfIp3mTT+i\nqZcmvxBGnLnHPO89TRWG9GOShxt5YJcuzCk8SD8wzV7qtK60L9N2817ZPORIr6dRKukYpd6d4eHh\n2LZtW0xA+W4bAAAgAElEQVROTsYPfvCD+iKaypDWlypRKRxIQ4zzH6RUvtRTlMo/Ojpa3+qQQpO7\n7rqr/IQFAN41/vRP/7RvhFLeME51vbxzJIUEqX6ZGpx5GJIa0RFngoLUSM//vbCwEP/7v/8bnU4n\npqamYmJiou95RvmowbzRmtfR0oiuZj0x79BM7+VBVxoxkup5qY6bBznpdr+kOeJ627ZtceWVV8aJ\nEyfipZdeqm/xzEfmNG+zzAOcVP/M93WS6q1pFFUeOuWdkc3OoRTG5B1maT+lz50/cyk/3snk5GQM\nDb06ki0d7zTSNb/lML9dLJUnD2Hydkkqc+q0yztxm7fcpRAoHwnV7PTNt5fW3eyIz58TFXFmBHce\ncuSjrvN15J8h71Btdo7nHaPdbjdWVlbqWx2T0dHRvk7JvDyDgqS8LZQM6jxudvQ3R16mNkrav+kz\n5KFO+t7n+67Z0Z/Oo7Rsfmzz9aV/59vJA9J8tGPexsy3l9aR/p23F9O+W15ePm+Q5BlJXNTy8CYN\nAc+HAuYjLZoXjvyLGXHmBzNdLPJt9Hq9OjRIX9wUsDSDkfRaWl96IGAKPdKUQon83vl0ARweHq57\nYVLwkY+eSO9NTU3V701PT9fDtyNe/XFKZcuDsDTaIuLV3oypqanYsmVLRERfBWFo6NX70avq1WH9\n+T3as7Oz0ev14sorr3yzDzEAMMDHPvaxaLfb8aUvfal+7eMf/3hUVRVf/vKXIyLil3/5l/saJb1e\nLw4cONC3juazZlKDutd79TkkaRRK3tCIeLXOkPeAN29Nzm91zkcf5M/TSttIdZe8gdNshEdEPZKn\n3W7HxMREfP3rXz9rn5w4caIOM5aXl/tu80zryjvcmqNK8gZ8RP8twHn9bmlp6azRGWk/pP/mddKI\nMyNK8sZkej/VP/N/N0cp56Nd0/xp9Er+GZqdqWmETDpGqe6Zf9ZBDdy8IZ+P/Mn3T35s87p1c/RP\n2kd5h2szSEjbyUfjpHnTrY0pcElarTO3lKXG+qBAZFDnbrMTtjkyZFBDvRmMNNeXPm+z4Z6HY3lw\nkvZJvp/ycKMZfOXLNEfM5J+v2cHeDBZS+ZuBy6AQIz//mh276f3medPcJ/nrg8KN/L3mZ0ny/ZPO\nhdzKykrfa4O2nbfx0utp3mZY2PxM+WvpuVaDgrf83/mxWV5ePus62lxu0PrSccmvDc3ypPnycysP\nTvNzqnnNy6+Dg8p0LkYksWHyi0Mz5Inov+UnyYd2NhPkFK7k97ymUStpBE0e+uQXwpT+j42N1cFM\n+sEaGRmJ0dHRmJycjKWlpfr90dHRGBsbi7GxsZiZmelLf1Owk+ZLX9SxsbHYvHlzzMzMxAc/+MG3\nZD8DvN384Ac/qCth6UHJKysrZ/XqLi0txdraWiwvL9e9f6kXMj0vIa+ULi4u1r8nL7/8ct9oyfTM\nk9RTnBqMqSd8cXGxbsSNjo7G3Nxc3VhMvx+p4Xzq1Kn6+RvptaWlpXo7qfypsp8q3HkjMvU4p9+M\nTqdTP6g5faa0zryhntY1Pj5e37aSHrabRiKk7abP1BxVubi4GJOTk7GwsNA32rT5PLGI/tuCUxny\nZxdNTU1Fu93uG/2Z37qQj4ZN64440/hLv8N5ANFsVKZypFtHmyMaUk9w6iXOK8SDRhSk/88f+ps3\npvIKfn5+5c8XScvkveZ5JT7fVydOnIiIqDttmkFCks63/FikcgxqkK+srMTKykp9+246NyPOPMB7\namqqXn9Vvfrw7vR++jx5b3T+sPGIqL+f6cHo+a3C6XtTIj3rqKqqehtJen5OPrKg1NatW+OKK66I\nyy67LI4dOxb/8z//U4/KGFS2PLTK/5+3t/wPFAz6YwWcW3MUVOl8+TXo9a4raQZBvHGvd9+/ltJj\n49Y23hbyL8CgW79SZTA1AvLhhqmCmfcEpZAnvZeCnVRxS/dZpyCo1WrVD1BM9zbnoVBVVTE9PR1D\nQ0MxPj4emzZtqreXAqZWq1UHU2l7ExMTsW3btog4czvW6upqPfJneHg4Lr/88g3b78D5/e3f/m3d\n8Ei9mYuLi9Hr9erbH1MjPF1z0jMjjh8/XveKpYAib3inB2im11OPUuo9TUPVm0PLUyMxrbPZI5qC\ni/we+3xUQf5XgfJe6LxseQUxVcrTMvkQ+tTgznvJ8gbuoHv7k/xzpfmTZm9m3pOe93ymRnf+e5EC\niNQAbt52kIKQtO/yIfHNcuTlSe/lnRF5UJDP0+zJzpdt9hCnECIfhZHWnf8GpmOQl7n5+fKyD+qx\nTcckf15bOgaDGtDpIdp5j3m+3nyZ1+qRbwYf6fyNODNSt9njmT5vuvVk0DM1zqXZs3y+c3E9NTvC\nIs4+p9a70s+5pbpYes5NHgoC8Ma5tY0NkVe8U2UvH8qawqK8Mp4/vydVUtMD0vJbu/JbxPJRRvnD\ngVOlIi9PagimodT5g/kmJydjbm4uZmZm6t7uNDKp2+3G4uJi3dM5MjIS4+Pj9b3mqdc3VZ6Hhobi\n5MmTdeAlSKLU/fffXzc+xsbG6gc+pkZa6nFPIy/yBn+ap9fr9TX801Da1GgdGRmpb7nMR3akczf1\nCqeGbvrO5I3CNOogaQYKzX/nvfj563k4ksqeryN957Zu3RoTExMxPz8fc3Nzfc8BaDbeU4N00MMg\nBw27zp8ZkN5rjipI62gGBOlhmnnYk4cerxVYJPn8zQZ9HkI0na/xmocBzcbu+YZFp9ErEWeekXau\nod35QznzfZoHBucr7yB5aJaOYfMvLA0KDPKRJW/E+Y5Z2i/nev/NciG9uecLZPJRGPnokPP18g8a\nufF6RgWUBESvJ0SKeOuCo6ZmcDeIEOmtk8L6jTofAN6NBEm8afJezbxnNWLwPZwRZ4aW542fZniU\n7utNQVO+nvxB1emWsnQv+KAwq/nv/KHNafvp9oU0b/4nV7vdbt+fps0/e5onb+jn5U7by0cgpNAq\nrxCl0Q9pREQeKqR9ku+7XKrkp/2T3xaQboVIDcX8lol0e0LaTt6AyrfXPF5pe6nh2xyFkG4jyEO3\niOj7k6e5vCc7bb/5zIX8fMr3bxodlm5lSfPnDbP88+XBZz5CIL81I+3LZtiRypD+Pw8T8r8WktaZ\nj0RoPqch32Z+T3r+nUry4zJodESz4ZsHIc1bR/LbSZrf2TR//uyG5v3zSbp9KP1/c3/l+zJvnCf5\nrU15+Y4dO1Yvm48ySetM+ycPAwbdCtI8Zs2yNffXoOXz/Trou3+u86IZwpwvuGhaj+Hhb2Qd+Uil\n8y3b/O6ud4OuJGC40Ib7+ZZ/qwOkfLvAaxMiAby13NrGRW1Qj3pE1COb0jx5ozw1iJo96Gm5vNGY\nN86bQUezsZ43siPOjGLI30+3Y+R/rjRfV7OMqQz5w8PzeZvPm0jrSu/ltzbkQUa+jdQYXl5erp8L\nlYKAiYmJuqxDQ0N9Pdfp1oj0/Kn8z57nAdBrNQAHBUivRx4Cnete7uZtKaVe720WAAAA7wSekcS7\nXj6i4lyjCPLX8tsp0giefJRQ/hch8tfyACWivxc9PRwwH13TDDZKb81I4YtnMAAAALDePCOJd738\nL968Hs3nwOSvn++1Qe+nW0TON8KlNBRq/plQAAAAeCsMvfYsAAAAACBIAgAAAKCQIAkAAACAIoIk\nAAAAAIoIkgAAAAAoIkgCAAAAoIggCQAAAIAigiQAAAAAigiSAAAAACgiSAIAAACgiCAJAAAAgCKC\nJAAAAACKCJIAAAAAKCJIAgAAAKCIIAkAAACAIoIkAAAAAIoIkgAAAAAoIkgCAAAAoIggCQAAAIAi\ngiQAAAAAigiSAAAAACgiSAIAAACgiCAJAAAAgCKCJAAAAACKCJIAAAAAKCJIAgAAAKCIIAkAAACA\nIoIkAAAAAIoIkgAAAAAoIkgCAAAAoIggCQAAAIAigiQAAAAAigiSAAAAACgiSAIAAACgiCAJAAAA\ngCKCJAAAAACKCJIAAAAAKCJIAgAAAKCIIAkAAACAIoIkAAAAAIoIkgAAAAAoIkgCAAAAoIggCQAA\nAIAigiQAAAAAigiSAAAAACgiSAIAAACgiCAJAAAAgCKCJAAAAACKCJIAAAAAKCJIAgAAAKCIIAkA\nAACAIoIkAAAAAIoIkgAAAAAoIkgCAAAAoIggCQAAAIAigiQAAAAAigiSAAAAACgiSAIAAACgiCAJ\nAAAAgCKCJAAAAACKCJIAAAAAKCJIAgAAAKCIIAkAAACAIoIkAAAAAIoIkgAAAAAoIkgCAAAAoIgg\nCQAAAIAigiQAAAAAigiSAAAAACgiSAIAAACgiCAJAAAAgCKCJAAAAACKCJIAAAAAKCJIAgAAAKCI\nIAkAAACAIoIkAAAAAIoIkgAAAAAoIkgCAAAAoIggCQAAAIAib0qQdMcdd0Sr1Yq///u/r1978skn\n4wMf+EBMTk7G1VdfHQ899FDfMsvLy7Fnz57Yvn17TE9Px2233RbHjh17M4oHAAAAwBuw7kHSo48+\nGgsLC32vvfjii/HhD3847rnnnpibm4tHHnkk7r///njsscfqee677754+umn41vf+lZ873vfi61b\nt8ZHP/rR6PV6611EAAAAAN6Iah0dO3asuuKKK6oXX3yxiojq7/7u76qqqqoHHnig2rlzZ9+8v/Vb\nv1XdcsstVVVV1eLiYjUxMVEdOHCgfv///u//qna7Xf3TP/3TWduZn5+vIsJkMplMJpPJZDKZTCaT\nybTO0/z8/Dmzn3UbkVRVVXziE5+I3/u934sf+7Ef63vv8OHDccMNN/S9dv3118ehQ4ciIuI73/lO\nLC4u9s2zffv2uPrqq+t5AAAAANhY6xYkPfTQQ1FVVXzyk588671OpxObN2/ue23Lli3R6XTq9yPi\nvPMAAAAAsLHa67GS//7v/44//MM/jG9+85sD35+ZmYm5ubm+106ePBkzMzP1+xERc3NzMTExMXAe\nAAAAADbWuoxIevrpp+Pll1+O6667LrZv3x7bt2+PiIhf+qVfik9+8pOxc+fOePbZZ/uWee6552LX\nrl0REfGe97wnJiYm+uY5fvx4HD16tJ4HAAAAgI3VqqqqutCVLCwsxIkTJ/peu+KKK+KLX/xi/MIv\n/EKcOnUq3vve98Yf//Efxz333BP/+q//Gh/5yEfi4YcfjjvvvDMiIvbs2RP//M//HI8//nhs2bIl\nPvWpT8W3v/3t+Ld/+7cYGurPuzqdTszOzl5osQEAAABomJ+fP+cdYusyImlycjIuv/zyvini1Qdm\nb926Na688sr4+te/Hn/+538es7Oz8Su/8ivx2c9+tg6RIiL+5E/+JHbv3h27du2Kyy67LI4fPx5f\n/epXzwqRAAAAANgY6zIi6a1mRBIAAADAm+NNH5EEAAAAwDufIAkAAACAIoIkAAAAAIoIkgAAAAAo\nIkgCAAAAoIggCQAAAIAigiQAAAAAigiSAAAAACgiSAIAAACgiCAJAAAAgCKCJAAAAACKCJIAAAAA\nKCJIAgAAAKCIIAkAAACAIoIkAAAAAIoIkgAAAAAoIkgCAAAAoIggCQAAAIAigiQAAAAAigiSAAAA\nACgiSAIAAACgiCAJAAAAgCKCJAAAAACKCJIAAAAAKCJIAgAAAKCIIAkAAACAIoIkAAAAAIoIkgAA\nAAAoIkgCAAAAoIggCQAAAIAigiQAAAAAigiSAAAAACgiSAIAAACgiCAJAAAAgCKCJAAAAACKCJIA\nAAAAKCJIAgAAAKCIIAkAAACAIoIkAAAAAIoIkgAAAAAoIkgCAAAAoIggCQAAAIAigiQAAAAAigiS\nAAAAACgiSAIAAACgiCAJAAAAgCKCJAAAAACKCJIAAAAAKCJIAgAAAKCIIAkAAACAIoIkAAAAAIoI\nkgAAAOD/tXe3sVWW9wPHf2d2G23p42rARh6ExD0klRYHyYaSSUhgrEhQsk1dphmJL0CdMZoRMgPO\nZS8WFskImGVG0Wk2NQScZBlKItRkaoDAkMSMZMhDCDG2QE9Zee71f+E4f09Eek0K5eHzSa4Xve+r\nt1eTO9fh/npyDpBFSAIAAAAgi5AEAAAAQBYhCQAAAIAsQhIAAAAAWYQkAAAAALIISQAAAABkEZIA\nAAAAyCIkAQAAAJBFSAIAAAAgi5AEAAAAQBYhCQAAAIAsQhIAAAAAWYQkAAAAALIISQAAAABkEZIA\nAAAAyCIkAQAAAJBFSAIAAAAgi5AEAAAAQBYhCQAAAIAsQhIAAAAAWYQkAAAAALIISQAAAABkEZIA\nAAAAyCIkAQAAAJBFSAIAAAAgi5AEAAAAQBYhCQAAAIAsQhIAAAAAWYQkAAAAALIISQAAAABkEZIA\nAAAAyCIkAQAAAJBFSAIAAAAgi5AEAAAAQBYhCQAAAIAsQhIAAAAAWYQkAAAAALIISQAAAABkEZIA\nAAAAyCIkAQAAAJBFSAIAAAAgi5AEAAAAQBYhCQAAAIAsQhIAAAAAWYQkAAAAALIISQAAAABkEZIA\nAAAAyCIkAQAAAJBFSAIAAAAgi5AEAAAAQBYhCQAAAIAsQhIAAAAAWYQkAAAAALIISQAAAABkEZIA\nAAAAyCIkAQAAAJBFSAIAAAAgi5AEAAAAQBYhCQAAAIAsQhIAwABJKUVKabCXAQBwwVQM9gIAAK4U\nhUJhsJcAAHBBeUcSAAAAAFmEJAAAAACyCEkAAAAAZBGSAAAAAMgiJAEAAACQRUgCAAAAIIuQBAAA\nAEAWIQkAAACALEISAAAAAFmEJAAAAACyCEkAAAAAZBGSAAAAAMgiJAEAAACQRUgCAAAAIIuQBAAA\nAEAWIQkAAACALEISAAAAAFmEJAAAAACyCEkAAAAAZBGSAAAAAMgiJAEAAACQRUgCAAAArggppcFe\nwhVPSAIAAACuCIVCYbCXcMUTkgAAAADIIiQBAAAAkEVIAgAAACCLkAQAAABAFiEJAAAAgCxCEgAA\nAABZhCQAAAAAsghJAAAAAGQRkgAAAADIIiQBAAAAkEVIAgAAACCLkAQAAABAFiEJAAAAgCxCEgAA\nAABZhCQAAAAAsgxISFqwYEG0tLREbW1tXHfddXHXXXfFvn37yubs3bs32tvbo6amJpqamuKBBx6I\nEydOlM1Zvnx5jB49OqqqqmL8+PHR0dExEMsDAAAAYAAMSEgqFAqxcuXK6OzsjA8++CAKhULMnDmz\ndL6vry/a29ujsbEx9u/fH1u2bImOjo547LHHSnNeffXVWLhwYTz//PNx+PDhmDt3bsyYMeMzQQoA\nAACAwVFIKaWBvui2bduira0tDh48GA0NDbFx48aYOnVqHDhwIJqamiIi4rXXXou77747urq6YsiQ\nIXHbbbdFa2trPPXUU6XrtLW1xR133BGPP/542fWLxWLU1dUN9LIBAAAArnrd3d1RW1t71nMX5DOS\n3njjjRg1alQ0NDRExCdhacyYMaWIFBExYcKE6O3tjZ07d5bmTJw4sew6EyZMiK1bt16IJQIAAADw\nP6oY6AuuX78+nnjiiVi1alXpWLFYjPr6+rJ5ZyJTsVg855xdu3YN9BIBAAAA+AIG9B1Ja9eujTlz\n5sSLL74Y06dPLx2vra2Nw4cPl809dOhQ6dy55nzeW6kAAAAAuLgGLCS99NJLcc8998TLL78cs2fP\nLjvX2toaH374YXR1dZWObd68OaqqquLGG28szdm0aVPZ723evDna2toGaokAAAAAnI80AJYtW5bq\n6+tTR0fHWc+fPn06tbS0pHvvvTcVi8W0Z8+eNG7cuPTggw+W5rzyyiuprq4udXR0pOPHj6cVK1ak\n6urqtHfv3s9cr7u7O0WEYRiGYRiGYRiGYRiGMcCju7v7cxvQgISkiEgVFRWpurq6bHw6LO3evTvN\nmDEjVVdXp8bGxjR//vx07NixsussW7YsjRw5Mg0ZMiS1tbWlDRs2nPW/JyQZhmEYhmEYhmEYhmFc\nmHGukFT4bwi6rBSLxairqxvsZQAAAABccbq7uz/3M6sH9MO2AQAAALhyCUkAAAAAZBGSAAAAAMgi\nJAEAAACQRUgCAAAAIIuQBAAAAEAWIQkAAACALEISAAAAAFmEJAAAAACyCEkAAAAAZBGSAAAAAMgi\nJAEAAACQRUgCAAAAIIuQBAAAAEAWIYnLVkopUkqDvQwAAAC4alQM9gLgiyoUCoO9BAAAALiqeEcS\nAAAAAFmEJAAAAACyCEkAAAAAZBGSAAAAAMgiJAEAAACQRUgCAAAAIIuQBAAAAEAWIQkAAACALEIS\nAAAAAFmEJAAAAACyCEkAAAAAZBGSAAAAAMgiJAEAAACQRUgCAAAAIIuQBAAAAEAWIQkAAACALEIS\nAAAAAFmEJAAAAACyCEkAAAAAZBGSAAAAAMgiJAEAAACQRUgCAAAAIIuQBAAAAEAWIQkAAACALEIS\nAAAAAFmEJAAAAACyCEkAAAAAZBGSAAAAAMgiJAEAAACQRUgCAAAAIIuQBAAAAEAWIQkAAACALEIS\nAAAAAFmEJAAAAACyCEkAAAAAZBGSAAAAAMgiJAEAAACQRUgCAAAAIIuQBAAAAEAWIQkAAACALEIS\nAAAAAFmEJAAAAACyCEkAAAAAZBGSAAAAAMgiJAEAAACQRUgCAAAAIIuQBAAAAEAWIQkAAACALEIS\nAAAAAFmEJAAAAACyCEkAAAAAZBGSAAAAAMgiJAEAAACQRUgCAAAAIIuQBAAAAEAWIQkAAACALEIS\nAAAAAFmEJAAAAACyCEkAAAAAZBGSAAAAAMgiJAEAAACQRUgCAAAAIIuQBAAAAEAWIQkAAACALEIS\nAAAAAFmEJAAAAACyCEkAAAAAZBGSAAAAAMgiJAEAAACQRUgCAAAAIIuQBAAAAEAWIQkAAACALEIS\nAAAAAFmEJAAAAACyCEkAAAAAZBGSAAAAAMgiJAEAAACQRUgCAAAAIIuQBAAAAEAWIQkAAACALEIS\nAAAAAFmEJAAAAACyCEkAAAAAZBGSAAAAAMgiJAEAAACQRUgCAAAAIIuQBAAAAEAWIQkAAACALEIS\nAAAAAFmEJAAAAACyCEkAAAAAZBGSAAAAAMgiJAEAAACQRUgCAAAAIIuQBAAAAEAWIQkAAACALEIS\nAAAAAFmEJAAAAACyCEkAAAAAZBGSAAAAAMgiJAEAAACQRUgCAAAAIIuQBAAAAEAWIQkAAACALEIS\nAAAAAFmEJAAAAACyCEkAAAAAZBGSAAAAAMgiJAEAAACQRUgCAAAAIIuQBAAAAEAWIQkAAACALEIS\nAAAAAFmEJAAAAACyCEkAAAAAZBGSAAAAAMgiJAEAAACQRUgCAAAAIIuQBAAAAEAWIQkAAACALEIS\nAAAAAFmEJAAAAACyCEkAAAAAZBGSAAAAAMgiJAEAAACQRUgCAAAAIIuQBAAAAEAWIQkAAACALEIS\nAAAAAFmEJAAAAACyCEkAAAAAZBGSAAAAAMgiJAEAAACQRUgCAAAAIMslFZJSSrFo0aJobm6O6urq\nmDx5cuzYsWOwlwUAAABAXGIhacmSJfHss8/GunXrorOzMyZNmhTTpk2LI0eODPbSAAAAAK56l1RI\nWrFiRTz66KPR0tISlZWV8eSTT8aJEydi9erVg700AAAAgKveJROSuru7Y/fu3TFx4sTSsYqKimhr\na4utW7cO4soAAAAAiLiEQlKxWIyIiPr6+rLjDQ0NpXMAAAAADJ5LJiTV1tZGRMThw4fLjh86dKh0\n7oyU0kVbFwAAAMDV5Fzd5ZIJSXV1dTF69OjYtGlT6dipU6di27Zt0dbWVja3p6fnYi8PAAAA4Kpw\nru5ScRHX0a958+bFkiVLYsqUKTF27Nj49a9/HV/+8pdj9uzZZfOam5tj3759UVNTE4VCYZBWCwAA\nAHDlSClFT09PNDc3f+6cSyokPfroo9HT0xNTp06NYrEY3/72t+Pvf/97DB06tGzel770pbj++usH\naZUAAAAAV6a6urpzni8kHzgEAAAAQIZL5jOSAAAAALi0XXYhKaUUixYtiubm5qiuro7JkyfHjh07\nBntZXAEWLFgQLS0tUVtbG9ddd13cddddsW/fvrI5e/fujfb29qipqYmmpqZ44IEH4sSJE2Vzli9f\nHqNHj46qqqoYP358dHR0XMw/gyvE7Nmzo1AoxPr160vHNmzYEOPHj4+qqqq44YYb4umnny77nePH\nj8f8+fOjqakpampqor29/TP3MPTnnXfeiSlTpkRNTU3U19fHd7/73ejr64uIiO3bt8fkyZOjuro6\nmpubY/HixWXf6OE1mvPx0Ucfxd133x3Dhg2L+vr6+M53vhMbN24snbcHMpD+8pe/xK233hq1tbVR\nKBTi1KlTZecHYr/r7xpcvc51/7333nsxc+bMGD58eNTW1kZLS0s899xzn7lGf88cOc8t8EVddiFp\nyZIl8eyzz8a6deuis7MzJk2aFNOmTYsjR44M9tK4zBUKhVi5cmV0dnbGBx98EIVCIWbOnFk639fX\nF+3t7dHY2Bj79++PLVu2REdHRzz22GOlOa+++mosXLgwnn/++Th8+HDMnTs3ZsyY4R+y/E9eeOGF\n6O3tLTu2Z8+e+MEPfhBz586Nw4cPx8qVK2PBggWxevXq0pxHHnkk3n777diyZUvs378/Ghsb4/bb\nby9FAOjPO++8E9///vfjvvvui48++ig6OzvjqaeeikKhED09PTFt2rSYNGlSdHZ2xrp16+KZZ56J\npUuXln7fazTnY968ebFv377YsWNHdHV1xZw5c6K9vT0OHjxoD2TANTQ0xLx588r2sDMGYr/LuQZX\nr3Pdf11dXXHnnXfG9u3bo7u7O37/+9/Hz3/+81izZk1pTn/PHDnPLXBe0mVm9OjRaenSpaWfT548\nmZqamtILL7wwiKviSrR169YUEengwYMppZQ2bNiQKioq0scff1yas2bNmlRVVZWOHj2aUkrpe9/7\nXnr44YfLrtPa2pp+9atfXbyFc1nbt29fGjFiRNqzZ0+KiPTmm2+mlFJavHhxam1tLZv78MMPpylT\npv0mzucAAAacSURBVKSUUjp69GiqrKxMa9asKZ3/+OOPU0VFRero6Lh4fwCXtVtuuSU98sgjZz23\ncuXKdO2116aTJ0+Wji1dujSNGTOm9LPXaM7HTTfdVHb/9PT0pIhI7777rj2QC+att95KEVG2tw3E\nfpdzDTjb/Xc2s2bNSg899FDp5/6eOXKeW+B8XFbvSOru7o7du3fHxIkTS8cqKiqira0ttm7dOogr\n40r0xhtvxKhRo6KhoSEiIrZt2xZjxoyJpqam0pwJEyZEb29v7Ny5szTn0/fnmTnuT3KklOJnP/tZ\n/PKXv4yRI0eWnevv3vrXv/4VR48eLZvT1NQUN9xwg/uPLL29vfGPf/wjrrnmmpg4cWJ87Wtfi5tv\nvjlWrVoVEZ/cg21tbVFR8f9f+DphwoTYtWtXFItFr9Gct1/84hexZs2aOHDgQJw8eTKWL18eY8eO\njZtuuskeyEU1EPtdf9eAXMViMd57771oa2srHetvT8x5boHzUdH/lEvHmU23vr6+7HhDQ4MNmQG1\nfv36eOKJJ0oPUBGf3H9nu/fOnDvXnF27dl3gFXMlePrppyOlFPfff/9nzhWLxbjxxhvLjn1677M/\ncr4OHjwYfX198fzzz8fatWujra0t/vrXv8aPf/zj2LhxY797YPrv5364B/miJk2aFH/605+iubk5\nrrnmmmhsbIzVq1dHZWWlPZCLaiD2u/6uUVtbe0HWzpXlxIkT8aMf/Si+8Y1vxE9+8pPS8f6eOXKe\nW+B8XFbvSDqz4R4+fLjs+KFDh2zGDJi1a9fGnDlz4sUXX4zp06eXjtfW1p713jtz7lxz3J/059//\n/nc8+eST8cwzz5z1fH/3lv2R81VTUxMREffdd19MmDAhKioq4o477ojbbrst1qxZ0+8e6B7kfPT1\n9cWUKVNi+PDh0dXVFceOHYs//vGPMWPGjNi2bZs9kItqIPa7nH83wrn09vbG7bffHsePH4/XX3+9\n7N1tOXui+48L6bIKSXV1dTF69OjYtGlT6dipU6dKbx2F8/XSSy/FPffcEy+//HLMnj277Fxra2t8\n+OGH0dXVVTq2efPmqKqqKv1f0tbW1rL788wc9yf9efvtt6OrqytuvvnmaGpqKr0V+c4774z777+/\n33vr61//elRWVpbN6ezsjN27d7v/yFJXVxdjx46NQqFw1vOtra2xdevWsm+W2bx5c4wZMyZqa2u9\nRnNeDh06FLt27YqHHnooGhsbo6KiImbNmhVjx46NdevW2QO5qAZiv+vvGnAuhw4diqlTp0ZFRUX8\n7W9/i6FDh5ad729PzHlugfMyuB/R9L/77W9/m0aMGJHef//91NvbmxYuXJiam5tTT0/PYC+Ny9yy\nZctSfX39534o5+nTp1NLS0u69957U7FYTHv27Enjxo1LDz74YGnOK6+8kurq6lJHR0c6fvx4WrFi\nRaqurk579+69WH8Gl6n//Oc/ad++fWUjItKf//zn1NXVlXbv3p0qKyvTihUr0vHjx1NHR0eqq6tL\nq1atKl1j3rx5ady4cWnPnj2pWCymn/70p2ncuHHp9OnTg/iXcTlZunRpGjZsWNq6dWs6ffp0eu21\n19JXv/rV9O6776ZisZiGDx+eFi5cmHp7e9P777+fRowYkX73u9+Vft9rNOfjm9/8Zpo7d27q7u5O\np0+fTq+//nr6yle+kt588017IAPu1KlT6ejRo2ndunUpItKRI0fS0aNH0+nTpwdkv8u5Blevc91/\nBw4cSC0tLemHP/xhOnHixFl/v79njpznFjgfl11I6uvrS48//ngaNmxYqqysTLfeemvavn37YC+L\nK0BEpIqKilRdXV02Ph2Wdu/enWbMmJGqq6tTY2Njmj9/fjp27FjZdZYtW5ZGjhyZhgwZktra2tKG\nDRsu9p/CFSI+9a1tKX3yzR6tra1pyJAhadSoUWn58uVl848dO5bmzZuXGhsbU3V1dZoxY4aIyf/s\nN7/5Tbr++uvT0KFDU1tbW9m3YP3zn/9Mt9xyS6qsrEzDhg1LixYtSn19faXzXqM5Hzt37kyzZs1K\n1157baqpqUnf+ta30h/+8IfSeXsgA+m5555LEfGZ8dZbb6WUBma/6+8aXL3Odf8tXrw4RUSqqqoq\neyaZPn162TX6e+bIeW6BL6qQ0n8/LQ4AAAAAzuGy+owkAAAAAAaPkAQAAABAFiEJAAAAgCxCEgAA\nAABZhCQAAAAAsghJAAAAAGQRkgAAAADIIiQBAAAAkEVIAgAAACCLkAQAAABAlv8DtO+mbOtPeeMA\nAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc0341b5f60>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig=plt.figure(figsize=(18, 16), dpi= 80, facecolor='w', edgecolor='k')\n",
"plt.imshow(spectra.data, cmap='gray', origin='lower', vmin=350, vmax=6000)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Plot along the Y axis"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7fbffd9c2c50>]"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAkAAAAGnCAYAAABfM+iRAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nDgEIAAD0OwQgAADQ7/x//6kiIRiymJEAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fbffdbfc7f0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"img = spectra.data \n",
"plt.figure() # Start a new plot -- by default matplotlib overplots.\n",
"plt.plot(img[:, 300])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Plot spectra flux\n",
"From the plot above we can see the main line of flux seems to be between pixels 500 - 550. Grab this range and plot the flux sum of the Y axis vs X axis."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7fbffd930ef0>]"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAABLQAAAQnCAYAAADiqTVOAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAQAAABDlCxxzrj6OHllqAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fbffd998080>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"spectrum = img[500:550, :].sum(axis=0)\n",
"fig=plt.figure(figsize=(18, 16), dpi= 80, facecolor='w', edgecolor='k')\n",
"plt.clf()\n",
"plt.plot(spectrum)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"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": "3.5.3"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment