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{
"metadata": {
"name": "Astro501 Project. Tom Rice"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Astro 501 project: Spectrum of Deneb, using Vega as a spectrophotometric standard"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Tom Rice, 11 December 2013."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This is my write-up for the Observing Project in Astro 501. In this project, I observed Vega and Deneb with the Angell Hall telescope's spectrograph in high-resolution mode, and reduced the spectra using a reference Vega spectrum. Presented in this document is the resulting calibrated spectrum of Deneb, along with a description of the instrumentation, observations, reduction steps, and analysis of the final spectrum.\n",
"\n",
"This document is an 'iPython Notebook\", which means that it contains *both* the software used to reduce & visualize the data *and* the resulting plots and description text. The plots are directly produced from the code in this document in one pass -- I am not copying and pasting anything from somewhere else."
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"1. Instrumentation"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"A sketch of the Angell Hall optics is attached.\n",
"\n",
"A sketch of the spectrograph optics is attached.\n",
"\n",
"The Angell Hall spectrograph is an SBIG Self-Guided Spectrograph. Full documentation is available at the [SGBIG website](http://www.sbig.com/site/assets/files/18249/spectrograph__sgs5_.pdf); a brief description of the instrument is as follows. It's a slit spectrograph with an imaging CCD, and some nominal self-guiding capabilities. There are two gratings: standard, with a dispersion of 4.3 \u00c5 per pixel, a spectral range of 3200 \u00c5 and resolution of ~ 8 \u00c5; and high-resolution, with dispersion 1.07 \u00c5 / px, range 750 \u00c5, and resolution ~ 2.2 \u00c5. "
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"2. Observations"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### a, b) Methodology for observing a target, and calibration.\n",
"\n",
"An astronomical spectrum is obtained by aligning a telescope's spectrograph with a target star and collecting the dispersed light onto a CCD detector (or other light collector). \n",
"\n",
"Obtaining meaningful astronomical spectra requires calibrating both the flux response and the wavelength response of a detector, and so a number of steps need to be taken, involving a number of different file types.\n",
"When collecting astronomical spectra, the following files are typically collected:\n",
"\n",
"RAW: your raw on-target data.\n",
"\n",
"FLAT: spatial detector sensitivity component, measured by observing an equally illuminated target such as the sky or a white screen.\n",
"\n",
"DARK: thermal component, measured by taking a closed-shutter observation of equal length to RAW or FLAT.\n",
"\n",
"BIAS: zero-time component associated with read-out, measured by \"observing\" for zero seconds.\n",
"\n",
"ARCLAMP: spectrum of a bright fluorescing gas with known spectral features. An arc-lamp must be taken immediately before or after a target observation.\n",
"\n",
"SCIENCE_uncal: Spectrum of a science target that has been corrected for the above, but not yet matched to a spectrophotometric standard or wavelength-corrected.\n",
"\n",
"SCIENCE_uncal $(\\lambda)$: As above, but calibrated to wavelength space using the arc-lamps taken immediately before or after the observations.\n",
"\n",
"STANDARD_uncal: Same as above, but for a spectrophotometric standard star.\n",
"\n",
"SCIENCE_cal: A spectrum that's been calibrated against a spectrophotometric standard.\n",
"\n",
"STANDARD_reference: An 'ideal' spectrum of the photometric standard, used to characterize the transmission response of your telescope.\n",
"\n",
"$$ \\textrm{SCIENCE}_{uncal}(x,y) = \\frac{(RAW(x,y) - BIAS(x,y)) - (DARK(x,y) - BIAS(x,y))}{(FLAT(x,y) - BIAS(x,y)) - (DARK(x,y) - BIAS(x,y)) } $$\n",
"\n",
"In the approximation that \"flat\" is near 1, and \"dark\" and \"bias\" are near zero, $\\textrm{SCIENCE}_{uncal} \\approx \\textrm{RAW}$. Whether this is ever appropriate depends on the science needs.\n",
"\n",
"After these corrections, a spectrum as a function of pixel (i.e. SCIENCE_uncal(x)) is produced by summing over the $y$ coordinate. The $x$ coordinate is transformed to wavelength $\\lambda$ via the use of the arc-lamps, which contain known emission lines that can be used to find a functional relationship (often linear or polynomial) between pixel coordinates and wavelength, yielding SCIENCE_uncal($\\lambda$).\n",
"\n",
"In order to calibrate the SCIENCE_uncal($\\lambda$), the wavelength dependence of transmission through the entire optical system (including the detector) must be characterized by comparing to a spectrophotometric standard, which is observed, reduced, and wavelength-corrected in the same fashion as the science target and then compared to a reference spectrum:\n",
"\n",
"$$ T( \\lambda ) = \\frac { STANDARD_{uncal} (\\lambda)}{ STANDARD_{reference} (\\lambda) } $$\n",
"\n",
"The transmission function is then used to correct the science target, like so:\n",
"\n",
"$$ SCIENCE_{cal} (\\lambda) = \\frac{SCIENCE_{uncal}(\\lambda)}{T(\\lambda)} $$\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### c) Observing\n",
"\n",
"Observations were taken for this project on November 10, 2013, initally with Alejo Stark and Hui Li, and additionally with Jessica Kellar, Jesse Golden-Marx, and Alfredo B. I. later in the night.\n",
"We observed from roughly 7:30 to 10:30 PM, and took spectra of Vega and Deneb.\n",
"\n",
"A handwritten observing log is attached. Briefly, we arrived at the telescope and opened the dome, etc. following standard procedures. We began integrating on Vega, and then on Deneb, before deciding to repeat the measurements with longer integration times to boost signal-to-noise. As noted in the observing log, each pointing was accompanied by a set of neon arc-lamp measurements that we used for our wavelength solution, in which we held a cardboard square in the optical path of the telescope and illuminated it with the neon lamp. We ended our observations at around 10:30 PM when thin clouds began to encroach on our observed field, eventually blocking out most of the stars. After the end of spectral observations, we managed to sneak in an eyepiece observation of the Moon before the clouds became completely prohibitive. Then we closed the telescope according to standard procedures.\n",
"\n",
"We found it necessary to limit our spectral observations to ~1 minute maximum, because the telescope did a very poor job of tracking stars -- the star would drift out of the slit quickly. This was a point of frustration and limited our targets to those which could be observed to high S/N in this time window."
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"3. Data Reduction and Calibration"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Below are the reduction and calibration steps, with code, comments, and plots mixed together.\n",
"\n",
"Some resources that were used in this reduction and calibration process:\n",
"\n",
"* Neon spectrum for wavelength calibration.\n",
"http://mthamilton.ucolick.org/techdocs/instruments/nickel_spect/arcSpectra/\n",
"\n",
"* reference Vega spectrum\n",
"http://atlas.obs-hp.fr/elodie/E.cgi?c=i&z=vs&o=elodie:19960730/0019\n",
"\n",
"* Smoothing function comes from here: http://wiki.scipy.org/Cookbook/SignalSmooth\n",
"\n"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from __future__ import division\n",
"\n",
"from astropy.io.fits import getdata, getheader\n",
"from scipy.misc import imrotate"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 71
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%run ~/Documents/Code/astro501/project/scipy_smooth.py"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 72
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### a) Steps to reduce raw data\n",
"\n",
"In this step, we first examined our raw images to ensure that they (a) had spectra in the right place, appearing to be stars, and (b) had corresponding arc lamps. We have chosen to forgo the use of flats, darks, and biases in this reduction, accepting that this will degrade the fidelity of our data somewhat. Below, I show the images of the raw spectra and associated arclamps."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"data_directory = \"/Users/tsrice/Dropbox/Grad School/telescopes_astro501/project/\"\n",
"\n",
"vega_data = getdata(data_directory+\"Nov10.00000033.Vega.FIT\")\n",
"vega_arclamp = getdata(data_directory+\"Nov10.00000035.Vega.FIT\")\n",
"\n",
"deneb_data = getdata(data_directory+\"Nov10.00000020.Deneb.FIT\")\n",
"deneb_arclamp = getdata(data_directory+\"Nov10.00000026.Deneb.FIT\")\n",
"\n",
"fig = figure(figsize=(15, 4))\n",
"s1 = subplot(2,2,1)\n",
"s2 = subplot(2,2,2)\n",
"s3 = subplot(2,2,3)\n",
"s4 = subplot(2,2,4)\n",
"\n",
"suptitle(\"Raw images\")\n",
"s1.imshow(vega_data, origin='lower', cmap='binary_r')\n",
"s1.set_title(\"Vega\")\n",
"s2.imshow(vega_arclamp, origin='lower', cmap='binary_r')\n",
"s2.set_title(\"Neon lamp for Vega\")\n",
"\n",
"s3.imshow(deneb_data, origin='lower', cmap='binary_r')\n",
"s3.set_title(\"Deneb\")\n",
"s3.set_xlabel(\"Detector pixels\")\n",
"s3.set_ylabel(\"Detector pixels\")\n",
"s4.imshow(deneb_arclamp, origin='lower', cmap='binary_r')\n",
"s4.set_title(\"Neon lamp for Deneb\")"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 242,
"text": [
"<matplotlib.text.Text at 0x138c1ea90>"
]
},
{
"output_type": "display_data",
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Sfvvtp4MPPlg/+9nPtHXr1vCvWCzqwAMP1AEHHBBSQCSpVCrVfCG+973v1fLly/XXv/5V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c8990SeGQ71cKFcuYcDbrnlFtTU1ODSSy8d7KIMCF1dXbj11lvxpS99yVyL6+8eQxfDsf8M5/kR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\nXV1mLmlqa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1OT8fLSqxiGoVnw0VBRtrV6j6kP6XQ60n/YNiTkrFNDQ4ORO/WVeXJ8obeM\ntoL2KfYTyp5Ed8yYMRFPtfZ1jmnV1dXmf+okF0moc6xjV1eXaVfqj5J7XXgo58Er+6Hzs846C1de\neSVuueUW/O///i/y+TyOP/54/N///V9iwvsLQRAgk8n0u64GnMuwiDN07bBNF3lUsmKTId53GSyV\nkJe498oZfCqPcmnY79lyYDpxxqidhsqKdbM9BK5844x+zV9XvmyjMs7oSzJU7Txd5M0lPyUGChc5\nsuvIe676u2TgasOk63Z5KiFWcc8B/T2wSXVy5avl5SqpXf+49JLKGydjV/424oigPm/rVjm52e+V\na5c4z6dLH8rpcFzd4vp4Od1JatO49zUde+ywyWVcu9tycZVJ0yFx8KgMQRDgtNNOM+QrDPt7HBiK\n1NnZafaz63jOsCSGIdEIo9FIA9HeLwNEV+57e3vR0NBgyAnvAaX9d0pA6S0joVEjS41mey9eGO72\nIIwbNy4SxsX6AUBDQwM6OzsjoXaUD43FXC6HQqGAxsZGIyd6Nfr6+tDc3Gw8T5QV06Bu00CnJ6xQ\nKKCpqckYxRqSBcAYgQxfI3kmUdX9cDTSu7q60NDQEAkZ0307uVzOtHEYhhHPZhiW9mfRaKcBqXu/\naOzSgKZXVPuu7h+j3Ol1IaFRmeRyOUOa6NkhGQBKYX66/47kA4AhcZo+CRD1I5PJYOfOnca7pKGk\nuhewrq7OhBxSBzTsl3MYDXWSRntBoKGhAV1dXairq4t4orq7u9Hc3Gx0n4sb9fX1ZlwjSJpSqRR2\n7txpFgcoO5KTzs5OpNNpo5/UH8oul8th1KhRkfGS/Y6klAQkl8sZOfO+EjHVG/V8hmFpoYa6QqII\nwOgdZUL9VC8e7WX2f7YtsNujyL7A/giUQhmZP3WLxElJJeukiw30mrNNKAuSLttTxvYnqVUbn/Ig\n4VKvMfsgdYTyYD3CsOShpTePY6guYpGo21EBlJsubDz55JOxc2TZzyRs27YNH/7whyMxuho7PBhQ\ng0iNBw1VUuNEV505cNgERdMCSuSNf7sEaLvxXYaa7UnhRKDPxBlHrnJpGkmEzDba9T0qDvO35aeG\nWJzhXy5/V91chqtt5NpELMmQtstm520bmRrSo+Wx/1Z52AZ6EsGyy0kZqzfHVQ+7vElGb1KZ7TLx\nb9cqj92GtuztOjM97RcAIgOf6x3XPVf548iMqzy2jsT1FYWLxMYt3Nj1sMcIm/zH1T9O7vqcjk22\nbPcEGhkQJ0ubFOo1vu96Rstvj3mudlCZuIioayyrRL89ktHT02MMOxqkuoeOBhgNfRodbAOGE3KV\nHyiNhzSi7X5OkkCyBey2FTo7O819AMa4BGCMTnomlADxfe6V48Ifwwptg7Kurg6dnZ3GOMpkMmhu\nbjbP0PAicVGvm5IvGuB9fX2G3Om+HhrIJAd6eIIe0MHfPLyFcqLRzHppGBuNZXq9uMpPskoDlIQ7\nm82aeqihT+NTzyrQ/Yp8R9udHpPa2loTTmsf9EDvBz2z9EaxTPRocZ8hdY46xd8MhWN7qGcuCAJj\nKNODkc/nI2XhPd0fR0M5m80iCEphkBynqcfMU9NsbGzst+hELwz12u5fAAxBIBnR8tBbxD1nJNYa\nsqiy5eIGCZB6j5g+veY7d+40zwClRRWSO8qMZQF2zzP19fVGl0lwufewtrbWhBTrmFFXV9cvNFoP\nCWpsbIwccMK2bmxsjMyVHDvYHiQ4xWLReLK52EMZsx8zXJo6xkUH1o/lBmD0yfbMkmRTbjwcpqmp\nyezVs/sOx0bVfY5FJJIAzDWOk5SPho+yLNRteulYTpJ4oLQFjQSZbWd7KHn4SxLKErzGxka0tbWZ\n308//TRGjRpV7rX9ijhjwzZWXAamy8tkp6HvEna4mG286PtxBqfesw3KJAM37n7cO0qMXOVRUsr3\nOVjo/ypPF5mLM8ZchppNmOzyqoFZCcFJIiRJ5eA19faybNrmdhvHETK9b78f18Z2mZWAxtWFsMli\nHLmII2GV6JFdD10M0EUUvafPq/Flk7C4kAIlPC7SqXkm6Yer/rzmWsxxyTyuXW1y6CqLTZztdOLq\n4yKr2s62rFxEljqk+WjZk8qh72rZtG+4xte4McCVvyttW272IozHwNHY2GgMZuo9+6Su5KsHhqvl\nNCbU60IjhYu8PNmURq0SBrYdyQ4NR6ZHUqH76Pk8DSINo+LqNg1TEjTVL5I8PtPX14fOzk5D2hj2\nRMJE450eBfX69fX1mf0/JGj8n8/QA0VPSl1dHZqamozhz/TpvQFgDmEhsevo6DDEpq6uDg0NDaZu\ntbW1Ea8BSTUNvIaGBtNOukeSBja9nJQxSRiJGEPjKD/qRRiGZnGgpqYmElLL/XQ0UnWvXxiGxpPG\n8Et6XSkPPVlSvTbUO21fjgXUG+oA5UEvsO5/AkphsXpQj9ZRdYrpMnyP3kqGyqn3VMN+GbZKIkJ9\n4d+UNecHhiPm83nkcjlTB8pLFxyUSNkheZQLwyYpe5JtLgqQtHI8JzkkqWUopB6IxH6Sz+cNQeY4\n0dXVhVwuZ0gMy0MvOPVI9/UxTDWbzRp5ss1ZFgBmIYGhzyRXLD/JUldXlwmR1kgC9h8NdSQpJEio\nVQe50MBDZqh33IfI/seQXLV/2I9IwLgvj/9rWC3bi/1OFzR0DGO6XV1dkT15HDO4KFZfX28W17jY\npXtmXShL8G6//XbMnz8fr776Kt75zndiwYIF+Pa3v13utf2KJMNC79uGVpxR5DJw7XRdhofeL+cl\nsY0jl5GUZLjGhT+6DCm+76oH31HD3DbmOUnEpWG/p//HGZK2cWfXt5zBbbejGoWu8tnpqqzUU6l/\n27DrYcstjhjYstY8bPnY6dttqnINQzc5t+HSRc07zmtlyyqp7ex39L5Lz21ZuN61yx5H5uJInf2c\n6z2m6fJgu4hIuTBmF2FTWdt66sozqT/wb5ecbSSNLfYzdj/jJGPDjoqopDyu8cZV76T6eJK359CQ\nKgCRPXi6N41GAg1TrorTIAXce8VpPNbX1yMIAvOekjF6T/g3AGPEk/zQUGIZ1etII5CePRqdzEdP\n+6PhTLLT19dnSKfue9Kxib9p1DNMjf2CxqyeDBgEgQk902cAmH1p9ICwP/E5Goocv1nWQqFgys/D\nHFgHei6YD8cskm31NFCWlKH+rSGXuVzOkDgdo0guSApJ7tlm6sHR0E8+y3Az3mP7uvYO6RygZJsk\ng3lQh0jCSfJ03xLbWccZlos6RJ2159hUKoVdu3aZ53RrAUkPjXaWnXmoJ4m6pOGHbGsApk+QnJAg\naWgfiQi9P+q1thdYWedMJhPRW/Vkaj9VDxuJoi4kcMxQD3VtbS1Gjx6NYrFoFjnYV0lgCoWCITb0\n2LGtuACi3i4lvZQndYrl0ANoqCejR482nirqBNOhN47P07POMauurs7IUEkw9Y5tpv2BxIppsB8z\nnJp9QSMi9DRhkkcNy+S4pZ5Xjju6OMWFHCX7TU1NJn/ds8l2TULZPXgU6gsvvIAwDHHEEUeYxAcD\nFAIQbxjYBgTfG8g9l/FlGy6qBLpKGvdunGFmpx9H0pLIll5Pql+5vO1rLrnoAGLn4yqPGvYug9hl\nMCeVV+uU1EYDlTt/c3C295LZ79n1Gch9rXfSs3H1i6tTOfIRp996La497DRdhnqcXrjkWO53uevl\n6u76zcldZR+n+5qmGglx75ZLq1K42mog6ZXTPX2m3HP6jN2u5fqXq3+r57yScjK8zaMyBEGAefPm\nGc8CiQRQIndKCDjW6Yl16uEIw9AYK2FYCrVTg129LDScaEDTGOe7mUzG7IsiSdA5hbqhe37CsPR9\nPT1kQ701JC8a9hYEpdMGWRcSCZYNKHkcGC5JDxm9CbovnJ8d4Co8jfPGxkZDFtQQoweFcmbeJHcA\nIgQyCIIIuaDhTtlyz5F67ri/jLJST4gSPg2TZTgow8/oXaARzPbl6YEkEvResd11AUAXDXiPf2ub\nMDRN5wW+C5QILPWWv3mf8tD9VmxHGuuUqz12qHeFus5ndcFBw4Sp+ySr+qkO1otgO+jeVba7tivb\ng0ftK/HTdmQfoL6oHUUZqx7rb4J9RQk7+wRlrDrGOtoHfIRhaOqi82gulzPhqtw/atvHlAnJmHrL\nWEfWi795aAnJje5LVO8txyEuKHChRD2rergJ685xjbpIWXEs0Dqrh5f5aj+j/tL7z/bUQ5vUttLw\nXX5ugmHE2v8oawCR04853vb09OD3v/997BxZ1oN38sknY+PGjTj66KNxzDHH4LnnnsPcuXPLvYYN\nGzbg1FNPxVFHHYWjjz7aeP22b9+OefPm4fDDD8cZZ5yBHTt2mHeWLFmCmTNnYtasWVi5cmVi+q4K\nxRlGcUaIi4C50ixnuKky2/dcz6uBGNcwmra+bxuYet1Vrrh6xcnBJgAu2B4izd+us132pDK4ZOaS\nESeEgRi7mk4lBMYmJS7iY7+bVB9XHSp51iZUceXW8ifJOi49yjSuPK70dCWW79mEj/+7/o7rj5XW\nNa5u5f6P0ym7HuX67J4QI9XpuP5v91/XPRuV6KZrbHD1Ofs9+924srnK6RqfktIo18YjCftrjmSY\nj+7bIOELgtIx8PotOHqQgqB0TLqrvdU413Ay9fyw7eiVYB/QzxCQaKmHCIDx+tFgsvdAkYzyHdaL\nhjINQX2P4xRX+/k3DWiG6KnR1tXVZcqu+4a4mp7L5ZDNZo1hnM1mzf65mpoa4zFjHUgQ1MNje7xo\nFDIEjwRViZruP6IhT2NQo2/UIGWe6kHTwxwop2w2G/FWafiti7zZURDMi+2j+79Ybhr0QRCYMEca\n/HyHbUH90TMfqJ/6mQiVAXXP/uyE6jgXCvichsyRRLGsmr4etkLPqXqA2U6UKd+h94gkmW3L9qMn\nis9R9oVCwRxmonmTdOoJl/r5Dg05Zegf+7ZGoinxpqzUy6YeYLYTy0lZpVIpNDc3m3GF44aSUvbb\n+vr6iAxUvgr2BQ2HBGDKpws2LCN1gp/r6O7uNvXTT0goobO/p01yTI8066CfO7DtAuZBubDPU4e0\n31BXampqIrLQxTXtuypHklTmpX0lCWU9eP/zP/+Da6+9Ftdccw1aW1vx8MMPY/ny5XjrW9+amPCW\nLVuwZcsWzJkzB52dnTjhhBPw85//HHfddRcOOugg3HjjjVi2bBna29uxdOlSrFmzBpdeeimeeeYZ\ntLa24vTTT8eLL77oJBNcBdBrLrgIXxwJ1OftNOx3K30+rjyVXh8IytXVRWTirpfLw85PB1D7fty7\nRLm20P/tVZCktnC9X4ns4563DfVK0oj7XQ6VyCMp/0rzrbRcthzjCHKldU7qg5WUNaktBpJO0r24\nNiBcbWCHxwwkb1f+cbKtJN24vhpXfq1fJWm58q30XlJeNkayB29/zJFBEOCMM84wBixPHqSRTYNF\nCRwNN930r0Rbx141PmjIajikeqns8EYaJfxb87FXw2nQsGx8hivwXH2n0UXjnh6Ezs7OfgQLKIWc\n0hjmgRAAzMmdalTq6ZC8xnmORqZ6avSwBZ6MR0OVxr+eEkpyx+vqWdFPO3Bc0W996QmeehiNfrNL\nPUJsKxqG2taUu+oC20iNSB4THwSB8djQYGcaKiPVG+4jYjgrjVt6jdTjqeGarIPuRVOiYrcrCaGt\nb+p1Uy+TEgc9nIX6xTpoWtRF/QyC9idb33idMqF3Sg+LUTKlCyN26Cr7FevIQze6u7v7kQXCJmdh\nWDoNk+lo3ahflKHuN1OQbFK+JDY8xEQJL9MjOdVTUfUzGEqkNCRTdYkkTD+fQKKuHl/2Sd7T6AG2\ni+qsPqceWiVaJLJ8h146gp473W+ooZkAInV0XbcjGqgnOt5Spo899ljsHFnWg3fmmWfiBz/4Aa69\n9lrcddddePjhh8uSOwA45JBDMGfOHAC7N30feeSRaG1txS9+8QtcccUVAIArrrgCP//5zwEADz74\nIC655BJUV1dj6tSpOOyww7Bq1arY9OMML/6OM0L1Wjnjwk7XnpTijBk1puzn9bqrLvY9vm//0+cG\nYgC5yqkDj52nlsNlWJeTgaYfJ39XW+g9V1nLkQn7fbtccfJw6YSddyV5sFxxclO4ZBqnm5WSO7t8\nrvxd11W+th7Eefhc5Uqqc1K723rnqqOtl0nvx40Frvf1nj0x6zNxRMUOPYyrt424trH/juvvrnLa\n5XX1G1cfiquzPhNXH617ufFVDQ0bLh0YidhfcySNu76+0rHk3BtGI4rPASWvGY1YrjTT2ND7YVg6\nRZEEie9xzxj3wXB/kqYbBEGECCjxY7gg5yKSINUlEhiWnfvJ2P/oWdETAdWQD8MwcjQ+wzFZFpsM\n67fu6BW0w0RZLh6wwHq7wq4YmgaU+hjlZhuyuneJJyCy3UiK+A4PtOB1HlxCg5gyUMLNvFkWm1jT\nsOV1EkP+TQ8x256kSw1z1lFJG9uB23xouNKDovtF9XtnqickIqwPy6n7PLXslD+vUzf0Y/fsK+w7\nLCdlZ3uSSfwJ9QTSq63eJqarRNU+pETHRG0n9kfWn4SPfTkMQ7NXLggCE8KrIZm8R31XT5l6P+1D\njpSAAjAncCrxYDl5iAg9hvqRdZaB9WhoaDC6as83vMY+pp6x3t5eEwpJQk+d5VjFsYHtqmmyjfmb\nfY3twL8pP+oY+zfrxnbRhQDVH9aVeqEnuapXneAikm0ba1/QxR/28SSUJXhf+cpXcM011+CJJ57A\nF7/4RZx88sl46KGHyr0Wwbp167B69Wq87W1vw9atWzFhwgQAwIQJE7B161YAwKZNm9DS0mLeaWlp\nQWtra9m0kwwu2zDRDq6wjVq9Brg/ZKxp2KuezF//t0leXDnijP0kYymJ3Gg9XCRFERf26JJJnNGn\n9dTyx5VHy1UJcU3KKwl2eV0kQCcoV7lsz0y59nMZy64yJ5Xf1ptyMnHlp55V+zlbN4CoHiSRknJ6\n4uqb5dpqoO+4dN/ur1o2/TspH3slWp+z+35cWSoF2zbO82enH6cLtk7pM3a/5URv34/7XU6Wdhns\nfhSnK5VeH+nYl3OkGvN69LzOZxqSxPs0PGjYkmDQU0FyYxtcNhmkAcv7DIvUfWuEesxoONJoVM+J\nll+Jj77P//V0PzUSGcrJ8Cj13GgonS7U0LCnQcV9MCorPS3Slg3bI51OG68FT7+k8UfZkLgBMOSc\nxjr39Wlf0rBSypgGKY1s5m8TBxqG9Jyx7SgTkg+dL5X4aOinHszB+usR89rI5QAAIABJREFU77q/\nKwxLYXVMi7LnWMq6BkHpA+K6eKDeD9ZJPXKqM3xHCSTLoO3DkFXWV087tENRKRsNSWS+2mfoqeJi\ngxJk7XckbBqmq5+Y0FBKhmOy3YHdi0NcHNHFHSD6uQGerGoflsO0NDSYpIlyYdn0MCZ6k9XDzrS1\n/Shz9axqm7GPajin7aVmXZiGHrLEtg7D0JyWS4JNzzblQlKo3n/dF8sQT+qWfpKFabBt1E5iffks\nn+P3QNk22nbsp9rvdKxmPbS/6D7NcrwAAMp+0K6trQ3PPPMMMpkM3vGOd+Css87Cxz72MZxzzjnl\nXgUAdHZ24oILLsAdd9yBpqamyL2BEheCqxc6KLmIU5xx6CIntiGdVJY4Y0ffTyIUNuJIgZ2Wfd+F\nJCPRRWziZOwyFl2GsxoTcc/Yz6ty2mWIa7tKiVFcneIMaFv2fFcH/7g8NC+VgasMLr1wtYVLJnb9\nXfKMS6Nc/ypnULsMfiVRvGcTIdtISvLYJJVP83SVyyWTcsTHlYatG2oMu+Rg15P3KtGbuDbTUI1y\ncMmjnM6xvK7nqY8anmbrWVx9tO6u51266vrN8g1EDiMB+3qOfPXVV43xPHbsWENoNMSJxEWNQaC0\nIs0+roY8DQ+9puGGQMkI4nMkQDRUuHrPduanBjQETfcP0SizQwuZPqEHIajRyFApjv/0qgDRQwto\naPHbd9zfpASL9WZoIQ1k/V89FXYIni4a0UtKo5ZGdGNjozkMg8Y/CY56g9hWSpiU7KhcKA/1pKgR\nqXvuWE8lq7pHi/KjQasnVXIvGVDaL8UxQkNXedAODWr7lEr1GPM3D6rhdaAUUqufNdC8mJ+O7boo\noWGzAEwbkqSFYWi8sDzNVb3gOq5RJ3XflR3qp8+yTDU1NcYbRTKmYbWqy+ox12f4HnU8CEr746jf\nSrjYz3p7e9HQ0GDkxX6YyWTQ2dmJYrFowpfVU8UTU7nooyG0SsgBGEKmZbc95nqqJUkyAHOiJGXC\ndmDfzWQy/cJnGZ7M9Pm3EkF6MrVv0rvGMtP7pyHE1B22L+VWLBaNJ1dJs0Yf6BjA8U8XPQiOHfyf\nY40eMtPe3o7t27cnzgtEWQ/et771rch3JaZMmYLf/OY3ZRMGdivMBRdcgAULFuC8884DsHtFcsuW\nLQCAzZs3Y/z48QCASZMmYcOGDebdjRs3YtKkSc50uZrD1Yg4w0Z/A8lkTA1uF7kh1Pix4UrPNubs\n5+38bMPfNti1jC4jz1UuzV8nRdczSd7IJDJg19H1v4sc2u+zXq42rUShVfblyJz9t0sP7M7n0hc7\nDVc7xRFP3lcC5CI2Wv+4NixHZFx6HFcmwkXMdJCmXFztpWkoypFKPlOujCoTl47auuzSCbuvahqa\nrk7KNjHUMutzcWnFERhbdwaCcn1D5RU3ptkkLSkd+2/WPa7f8297PLSf17CscuEnIwH7Y46cMWMG\nZsyYgZkzZ5pvnqkhbx9bDkQX6hiKBJTIiIb5qe7Q66TeD/UQ8bAGHZNJ4vQkRA3XYxgWABNySeNZ\ndVX3DzEUzd6fpCvtXFGnsUrjtLe31xyNTsLCkyrp9aHsWHbWlQZkKpUyq/0kSvoxdcpKj3TX0y/p\n7eEHzQuFgvmkAYAIAWL/oAGv3kgah9o31RNAYk+PDA111hOAaX+2N20tkk56tpR0ap+lJy8MQxNO\nq+GU9v5PQhfTmLcSICVOqi8aVsx2ZtsxHcqA9eN4RfsxDENzSI/alDxAhyGVNOBJKrh4QplqfShj\nLbfWs1gsGiKhZFXlrjILw9LnNfRkW52jVbdVltzbqHUgceGpmaq7VVVVaGxsNAfvpFIpo7t2HbPZ\nbMTpooTW9sTaZCmbzRp7nvnT08jxJ51Om77AduXCDWWvHj/9WDz7AT2u9fX1kfmeBJwLSPl8PvJN\nUHr99XkdT4DS5wo4DnLs0dNV1QFA3eIpn3yX4xnLZ5M9EsXRo0dj+vTpaGlpwdSpU5GEWIJ37bXX\nAgDmz5/f79+5556bmCgLedVVV2H27Nm47rrrzPVzzz0Xd999NwDg7rvvNpPaueeei/vuuw+9vb1Y\nu3YtXnrpJZx00kmxabuM+CTDOMnA1v/L1clljMflq9dcz9jl0LRd+ZYjUbaBZRv5ccRMDT9dXbEH\nYZdR6PptlyHJKExC3P24Ntf/XTK3DVu9pivZSURQjQfbY2f/r1DZukiGC3HXXe1R6TMu4mdfUwLi\nkle5crr0V/9pu8TVwaUj5fTBbnO778VBdZ+DqKvcGn7hMnaB/mHOLjKl1+JIZSX11jLa5SVsD6Tm\noaAhoYSXz7FONilQmbjSd8lfPbt8biBjwkjC/pojaUABiBjgdngbjRD1ivA9GjW6byUIAtTX15vV\nbhqTuoeHxpweBECiRaNNP7ZMOahnhMRAPTG6/4R14sIzTxpUXSSBorGm3gw9Yl1DDkk8aGQyTZu0\n6V4oDTvlPML8KR/9bhkJphqzPC6dh2QwD4b3aTgovU4Mm6VHUb8txnan/Fk/yoHyJVFSzyeJnj1f\nqTHM/XQkTiQq/M1QVl5nndiGQCnckGMBD4wggWRZ6cGgkc4Ph/OAF6DkJdJFAD34wyZ/6smlHpAw\n8bfuT2WdWB7KmAsGJLP2/lbqPokNy6jhiCwL24reJJJk6nEqlUJTU5PxZFKu1CmmwfxUb1OplCFS\nbGOGQ6dSKbOXMgxLJJdkXuUCwBBMkixdkOO9bDaL+vp69Pb2mgUT1qm6utochGR7hNX25SFIJL8a\noqvzMEkZ25iyAUqebNU5JdIAjA5pVEBdXZ0htbpwoQsZ1FHKWvdikjDq3mD2E+oAxwA92Kmpqcno\nCnWM93lN01E9ikNsiObChQsBADfccEO/e5WQoSeffBL33HMPjj32WBx//PEAdh/x/JnPfAYXXXQR\nli9fjqlTp+KBBx4AAMyePRsXXXQRZs+ejXQ6je9///tlDV+XQc2Blc+pIRFn5LgMEX3eZt4uw1gR\nZ1iq8RRH+MoRBruM2qldpMtl0OvAZr/nIpIqU/s5V2ibTZhs2CvH9vuu+3GkKcl41muu8tpycOmI\nq2z8237PVWctt61HSWQkiSxqeew87HtaDq27LVeXzvKduDxtuOqg9bb1Xgd03otbYIjzWtplSiJ1\nrj5kkyFX37Z1x14hT2ozu71d+l3OA2rLN+65cuOy9mtX/Vzp27JXUmu3j10PV59ztYG2uf3uSMb+\nmiPVkObfPHikq6srcupfEASR78epp4Ur+Rz/aZCo8cG01KtEskBDS0/DVG+GGka5XC5yqh+NQ+bL\nsnC/F4kNUSwWDfEkQWHfogGu12mM0tiioU7DkuXKZrNobGw08uRz+n24dDod+dA5QxUpS56kydC2\nICh9WDwMQ+OJUG8p3+c+PJIh9UDS0NT2YvokH2qk06Bm+ZiehkNqCCzbj3XXUw51TmO6O3bsMB+3\nJtiPSdj5rpaJaWk4YSaTMR+V7+srfQReFwP0oB2Vny4GUMYsJ41k6gaJG3VZ60jvMfe4Ubfp+aOe\n8P/Ozk7zofpsNmtIHolCe3u7IQlNTU2RfXcsCz2BJLxsZ20P9il6zfgOFyZ5mA3blAsHfJafS8lk\nMti5c6dpYw0pZrvZB8UwTep1bW2tCWfu6OjA/2fv/WNsvar6//Wc+X1+zJ25pffS3Nv0tvS3KUhE\nJBjS2HIxaaDBoGA1oYporBJjhATCH0YMSIlookgTIIb2H0GCCCQIlkIgamIugiQmVS7UFkpbLu2d\nOzPnzDl3Zu6c5/PH/b72eT9r1n6ec/tD8m27k8nMPD/2j7XX3s/7vdfaa6+srKTxyjimb7rdbjp+\nAJ1lMQAdYfyiH+1224bDYcVyij7SF2rNhVRBuP285fcImlllb626yno91jmIxR9dgNH5xszSIhF6\nw/yrpBc56byoFlX0VffJMpex+FGXpjrofHt72/7nf/7HWq2WXXPNNT+xQ87Nzgta/WX1ugfjej0i\nI2b1oKyOVOQIga9LDuh5EuLf9SA0B0r9O5EpOAfclKT4tpEi4EZS4hcRYG0/v/0KftQGL2N93svd\ng8JcXevkQDu17REAr3tf76vMIuKn13LyzRG7CIxH8sm1X9sWAX1PXpr04ULkFZUbET+vC2a2r8ym\nPvYyydUh0lv/fvR8XR2aUp0MvS5M289eDz2pqss3R0JzbYxkEOll3RzTVA/Ss/mYhGciFUVhv/AL\nv5AAin4LimKyR0ijGarlWgGxuoD5ABQaihwASPlmE5DpXQYBQAQdAFBD7iBOADXd48O3BqCLWyN1\nAPxTNyWC7Xa7so+FurEivru7mywZaulT90ZCvwP8lChvbW0lcA/hwwXVbBIF0Wxi+dFgDRzMDGjD\nHQ1yqOBPx5SOd/ZH6RESXANkLy8vW7/ft7KcuJip5YPDk/0eOKyEkG7kz/4gs8mB2oPBYN++OMA1\n9ccyoWRpNBpZt9utRE9VC5zWFX2lrp4c6zyi7qtYU/f29pIek5CjLkhQJ9rLb32WvJVwYtnVbzxt\noL264IGMcdM1s0QkkBf7M5EL8lA5o2NmZsPhMO2n63Q6FaxDYBf0MZLP6uqq9ft9W1xcTH0/Ho/T\n7zNnztjq6mrljD/0ZTAYpCM0tre37cCBA/usnegzdVI3chYser1esrwxRzA+IFjU18zSvaWlpeR2\nDdHj+6RWd50fqGun06kcCUE/Mf4hZtSRZ1jg0THK83oGqd9/q2OYcct8hq4zJtAR3Sv7lA46/8IX\nvmBXXnml/cEf/IG97W1vsxe96EX2T//0T02vPaMJ4XnygDB0cOuHR8GqB66k6Lp2dASu/Y8HpznC\nlgPqOfBMUsuHB0w6Eaq8IkKlZURAPgKUEfHy7fX9wzOenOmzEegneatBDsRHIDYibdpurkeWI8rO\nWXD989SHSYqfyLKhKz51/ZNLXt9yuqJJ9cbXnTyUGGieCv58Hvp3jgD5vojKjMZ0RAx0sm7Sa655\nffbP6zP+ff9cTle97KO80AcvE59H9L+fK7wMm/pe66DWSM2Hj2wkM99HkUyj8axjSxc6cvLK9cHz\naboE6MF9ir4FwOicZjYZ3wrm6T/ACkQLKwpuTOqOx/tmk2ArPuABYIm6URbgT0Ei+jken98Lo/v5\niqJIhAqAx/MAZp4jXx8gg3fm5uaSpYi6K/hSAK77AAGHo9HIDh48mID32bNnK0RFrZtYE8wsHcZ8\n7tw56/f7Kcoe5WHt0UPkAaJYmQC2uKMCDrGGQJ6xJG1ublaid5pZJYAI8sXiQRRAde3FiojlBnmg\nBypjdSNFfhqkBh0ry8l+PeRIf+DKqq6baqXSIDB+fx/XzCYH2kMEsaowLympZJFBZcx+tXa7nXSP\n9mON08U7tSKqmy26SB2V+LZareTKiOulmSXijd71er0kl9FolPRZ94syVrFAIg8lPv48ScYTxFAP\nI8eyNBqNbGdnxw4ePFixpqllFKt3URSJmLKIQZvZ94aVkPKxdJVlaZubm0m/1IWZeYb+0vpjpVQC\nZrb/jDlIblEUNhwO0yKOWnN5j+tYkymfRZK5ubn0DHMI7+IeC+HH+kY9dIFEXT/50cA1kH7mCP2u\nR6nRgnfNNdckkmdm9sADD9gtt9xi3/nOd2ozfqYSykeKgLe31EXAjuf1Q+AtDz7vHHDVZ+qshAr0\n6/L1ZVxI8vnV1TciNjpB6nUPMKNyaX9UH39NZVD33DTXLuSeL1v7xbcTeaiOTJOPlhfpXq5v6tpQ\n1491SdvE/3rNE7q6+xFgzxEA38Y6C5y/P22K5Fg31rUNFyKzaEyTp1pn66zdUb3937m6R+9Fz04z\nz9XpnJ8z68qexqLq85xGZ30/PW/Bu7BUFIXddNNNaR+IBi8o/z8CT5Q4zqHSICpYH6J5AfChz9NP\nSgzNJivp/FYC5esB4NeAGeSvoAxQqIEHsDiUZZnK4h11beIaIJ93kQv1MrMKGTObuItSD92zCDAl\nIiHgfWZmxjY3NxO52t7eTsQPUErShWNdnac/sVSw/6zT6SRiocFlqC/AFCCqfcRvdIMDstWN1cyS\ntYK6Qz4oS+c6jZQIYMe6xjvoIARpa2srkZyzZ88msojrKuV4jEJfqp6oqxoutgqo0VslA8hfg3PM\nz8+noCokLGpYkoqiSNZZ1Tmziduk4iBA/Gg0spWVFev3+xXLHrJTi6bZJCAPGETdduk7XDpxuwa7\nsUjgz4jEis24U5dZ1REs6Vi4dDwtLi4md2RtB+NfvxGav1oisUbTTyxC0HeMB3VxVYsl+TNHqdWv\n1WqlMc740KAuuLNqm1i8xoJNm3WhXs/cwxrHdSXP2p/MU7pg462k6DN5s38RvdQAMLqf2Wzilv7P\n//zP2W9kowVveXk5kTszsyuuuMKWl5ebXntGkweH/m8FZ/yfS35y93nqtQioK3Ayq1qbomdzoD8C\nQ/q3r2dUb193DyQ9kNM6KaCnjvxE7lpR+RG58//rhyKSea4f6gB61La6e5GM+Hh7mTFR6MSlE6KW\n4WVuFkdM1Lyie9PoZBMZ0LppveuIS5MVSGVJX6v89Fokk0j+daR52hTJLCKROau2typ5mWhbvB6o\nPFQGkX54oJV7TlPTePBzT04+uohRJ2vV7YiQRX2XSzoX+jEUtS8q//l04QmLDyBUxzvR2gD2GgwC\nIK9ulfSbWs78KrMG02DluyiKBE7MJmHS1W0TkMW+OiVQavWgHEAvRAKLlYIxdZHSVW7ALnM6rmZm\nVlnU1MAYZlaJqqhzCO0BtOKOqdFD2+12uj8ajRKhwoKCfAB/WDggtzqeWejQfVK6zw6XQ9qLaxjt\nBRgiJ4AsFhX6Va1HOzs7ybIHOdPIo2aWZAjxpxzVFywfAHj6jefYcqNgHODNdV1AQGbeKobua6AV\njbaorp7oJ4QCgtjv99O4oc2QOI34CoDn3DXmf0iqjjksWhBpM0t7K9E/3PsgTpSJZRAZso+TyJXI\nEtLEwoI/ew5ZoUtFMTnEWxdrIMDD4TD1K32FbuuzGsRldnbWBoOBjcfjROAZ88wTajmGqCA3+p4+\nQhYaHAZ5mFnyCCBgDHlpsBrmNN0LpwtN4DsWCbhGXek/732gfaffLPqK/Xc6RpUYem9D6n/gwIEK\nDoUYo6s6f+lCRS41Eryf+ZmfsVtuucXuvvtuu/vuu+21r32tvexlL7PPfOYz9pnPfKb23be85S12\n+PBhu+GGG9K1P/mTP7GjR4/aS1/6UnvpS19qX/ziF9O997///XbVVVfZtddea/fee2823xyQMYvd\nfHKkoAlIal4eECko9WV6gOJdv6J3IhIRgbs6wBXV3wP8unb5eivp8wBa256zWngi5AlG7h1SDqxr\n3bScJkAauZxFwN2XExE6LwMdtL4vI+AeJV+XnOXIpzrArP9H5NO/691hdTL0+WrbIn3N6XCUj96f\nFth73dL8cqSP3znCFfWdHxv+fX8dOXpZ6HP6XpTqxkhOpnVyjMYwfyvo0fZ6kKn19yupfoxou6P+\nqGsfzzTNz/9/T8/U91GjuykYI3gFFihcvADluF1q3+gCF+BIwQ/72swsBZYA1HmLAkQJl6XRaJQs\ne4B772JpZpUxNRwOE8jSlX2SWr8oj98AcXQawKUurUqEAMGUoSRVLVLUF2sEP1jciqKwXq+X6k9b\nlMRAkukb9gD5/TpqVQR8a3h1xixglrIAhOgCPzyrRBoCBQlR91R1D6OeXFOLjpml/UaQQnUZRr8g\nDbynpAsZIwvIAdYU5gfahWVSQTPWNdwLlTCohQY3Uj3w3H9LsGox/6lVBSsLbdZ5k3owttQlU/co\n0qeqxxrRkgWEoigSqaE8dY2ln1RPkQ2kTOdXPfev1WolSyZjh2MqZmZmEjlERkqydQ5RV2L2yWqg\nEPoSkk8/YlUnv7Nnz9rW1laSEUdgQLRxiVY3cXRkZ2cn6TCW4XPnzlmn00n6p/LhfXQd0kmdGSPM\nVxBkZMk8Qv+pBY+zLSHquGf7CMZqWWb+1oUZxooeg1GXGl00f+M3fmMfkNH/P/7xj2ff/Zd/+Rfr\ndrv25je/2f7rv/7LzMze8573WK/Xsz/6oz+qPHv//ffbr/3ar9k3vvENe+SRR+zVr361nTx5cp9V\nCOXOgdqIMPmBGgF0zccD9yYQEv3W+jTlFdU1KiOqs17zf0f5TVuuf84n77qXIwD6flTnqL1RO3OA\n8EKA4LTPRqQsqmOd29s05U4rf8qPiHT0Xh1RUgDg21OnR3V67tvhiemTAetPR7/mZOP7LJoXcjJs\n0mXvphmNjbrr07ZX65mbt+rkEOUZjTlfhr/uLT3aPn2Wj2M0n9fJ4dnsovlMfR9vvvnmfX3CSjBE\nhjnA6zMAUIEswEpBhj7j97hhzVOSAVGhvj7ggtkkMAtESoOSmFkCY5AjdXsCDOucTPsB7UVRpAAM\nauFQEkRbi6JIdVEwqme8AdKol9ZNLYGAbYAtwE+taRAArBNYH8qyTGBZyQ/Aj3YB9OkLLGNc898z\ndSuHRGBx8H1Pn6k7m45r3UcFkaAeWGF036D2OdZV/S6hBxBotT4RUETboTqIvui8pAsI3FerG/qm\nex3JUw/K1kUt8tYFDvQA/db9hn6e1EUIJZQ6BlW/yV8tvyyOsL9NSbi63EKc0W36AisXVkez84s0\n/A1x1+AujAttM+QGzwDaxjvaR9pmJVbkxbhBF3CbpL94Vv9GnrpXjX5UYoYMct8i7Vv6kLbpHEqe\nOh/pwhdjBcKN/FVvNVgLY4Q+UR3RuqreqMvqfffdl/1GZo9JIN19991Nj2TTq171KnvooYf2XY8q\n87nPfc5uu+02m5ubs2PHjtmVV15pJ06csFe84hX7ns0BWs07AsIe1PE7BwSbiJHPK5dy4NxfryM0\nHphGz/r65eQwbb21nrn65crX53Pgu65OnkA01XcakB8BVw90fN0isF/3fyRv/2wkl7q654B3rs3e\n6uLHR84y6GVQ155c/tEzF0rucnnWjdVp86h7J+rrHHHJ5eufz42NuuSJWo6URvfr+scT0UgedfNj\nnb7rtZzFv0l2z7X0TH0fdc+YgimALWUAilgJZ0XZbALmARUebGD9AbBr/h7gqRWMORfQBPlTEliW\nZXK1UysTzwMUAZsKktVtif/Z44UVR60EvKdElvbTHggDQJ37PpS51h8yAfkE+HK4sdmEiEDksMjQ\nhzzDHiusPtpGDbUOISIfJdOQF7XCkdQaRZ0VQDJ2lYjgjre4uJjaoWRXXQYhjjonqMsl+sHiAO+z\nX0/PAtNvG2QQAu2tzchEXX2phxIv8tH5Uy296Bp190E9fD8x3lhMIU8Av8oYckV/q16oZYyyyQtr\nIkTee94wLlqtVlrQYAEBfUTv9CiEpaWlZBVmMYNFNnW9Rtd1wQi9YnGCuqFXPgIt5FT3XSq5Bxuj\nP/QHz6DTyJC+1L171Aud8OQcgqv7FhlHzBWMb4/hyd/LAfkyTzCe0UXdX0mfKnFljqQvWUBBz9EF\nnc9zqdFF85lIH/rQh+wlL3mJ/dZv/Zatr6+bmdmjjz5qR48eTc8cPXrUHnnkkQvKt45QmNW7OUZA\nTCck/T8HHD0Q9KDHA7E6kJ0jFlEbNJ+clcfLwKccWfTPRHX3/z8VAumBIfej9kZ93UQKdVLWVTVf\nF9/maLL3eUZ6xPVpCF2u7Bxh8jLxcsnVaRp98CnKI2pTRJCejjSNTuWeydXB67OXN+DWp9y4rdNH\nLbOJoHpCFeXhxx8pqq9/7skQ7iif6HpOZ6O21OnGc5n4PdXv4+zsbIWM0CeALgU83jVJFwAAkLrv\nRcc3LkkAO/apkLcGHdAVfx1v1EH30USWRQAS5QEWqQP1wwUKt0Bd8dYVf64BANU1VA+NhnAVRZHc\nwLD4KKlTMkzERwAg75A3VhWVHcSB+gKMlRAqCcFFDJCqRAV3QfobuVOeupqV5XkLIoBU62w2iY6I\n/NWFFIBNGQRVUaALWAcoIyPda0d/qdVRyZuSHG0TIB19pe5eD2krwFktvWqV07FCu9FJdXvW+tEf\nWJq0LNV9JQPj8TjpKWTFz9tqDVY3SAiMEm+eU73W/bB6tqQSNPb9qTs1fa1jCXIHmRqPx5XDypG5\nkufxeGydTif18XA4TJEmVW4axZS+Go1GKWIuiwToIoRZ5xtdcFL908iyjGWdVyDJMzMzyZ1arbeM\nDR3j9AEkWsctbcWKrQs3kFwShJpFIp0TGBO6rxRron5b6ee69H9O8O644w578MEH7dvf/rZdcskl\n4UHqpBwQwQ9eVwR43gOJCNTk7nmwqh/IHFieJuVAcO65JkA3TVk5EN9E4KYFqNQpAvW+TL2XIyvT\ntiV33fdhHYhWgOHz0XuaVx3ByPVPHbHwVrbc877eOblGJDjX702EhxS5f2keEdH3z2oedaTv6SAf\nTSTC92eTjBSMasoRebOq9TTqr1y9m0ieLze6F5VfV2Zdm+rGq9cLntHrufHo50LNA2BFGGkNcf1c\nSU/H9/Ghhx6y+++/337wgx/Y448/XrEmeMsVIFTPc1JXNt4jAWjUSqOHVqt+aqQ61U91N1RrDfmr\n22RRFJUVfs1bXdcOHDiQVuFpHyBK98JgBfMgmXJ3d3crUQmRk7qU6kHmEDkFX4BkBZxq5cIlS/dI\nqRXSzCrWFQiSkpJz584lUK1A08xSFD4N3EE7AaKqPxB+ALxaTPhW0XYldvxQdyU43oJFm9E1Bca7\nu7vJpZH5S/GdEmkFytTZu8bSbmRNnvSNWoNVr5A3fWdmqe8g+jMzM8lqqgsG7K+CfNM+dUXV/YS0\nyRNw9EIt05Bk9J7z+9SiqS7RujDD3i+d31momJk5f2ahH1daF76B3m2UICyMMRYc9Ixq5nEWW9AN\nXUjCiknQGkg+C1TITI/bYMEJqymEtSiKSpAiXVRCJjMz5496wdVXD0BHnvyYTaJhepde5kfVMR0L\nJOqCrqh1l/brogf9oC6ZzBssaG1sbNhDDz1kDzzwgP33f/+31aVDm1s+AAAgAElEQVRagjcej+1T\nn/pUbQYXmg4dOpQmm7e+9a124sQJMzM7cuSIPfzww+m5H/7wh3bkyJEwDx9xiBQBtoiYKbjTD4km\nXd2JQF4uf/9c7l2/YqTXI9AZfcxzAM6DwwgIRvVqej5qQ139cmAul3Lk90JBf13b9EOXq7t+rCO9\nyV33edURrjry1NQ2bUfdYoHWs65e+jdyifRSLZ45/3Uv98jyWUeQIt270OTz8CRT5aJjOLcoMC15\n9rLOyTlqf27Mebnk6hTVK1d+U701+fy87qsu6IJYLp/cfMgzACp+nmvp6fg+XnHFFXbVVVfZZZdd\nZisrK2ZmCRzTX3pAMAAVUqDuRQp8zCYgUPee6LxBWQBVT3y8y5zuD9N9KPpdHY1GifjznJJHCIIP\nUqHultRLgauCJ1bduY9bmhJh3p+bm0v74pChWpwAvGZWObsPoIkcsJTwPiv1aoHSPXmMCbVsIHMA\nvlp4sGKYTYi1Yh76sdVqJSuP2eTAcgCl9q2ZVYJ9aP2xHAK00RmsxvwNCVDrMa5ymid9jO6qK6mC\nZuY9dVlT8qVWGMpW4kiZvM8ZfciNeituVB2iDkpikBmkeG9vL7kjsmih5NsvJqq+0QbkyLjiZ2Zm\nxobDYfr7wIED6Z1Op5PKpp7qfk3UVOqAri4sLOw71J6xRt8wjrVv1HUbOeo+ShaQIMKKxzSqJwsq\n9A/jgzlMXa6xZKmbOHVVqx3jamNjI8mSMrVvGU8eK9A2OIdfuIm+v9zX8ULSMQWnYVFAA7ho2ePx\n2C666CK77LLL7KqrrrIrrrjC6lItwWu1WvaBD3ygNoMLTY899lj6+x//8R9TBLFbb73VPvnJT9rO\nzo49+OCD9t3vftde/vKXZ/NRcKIAJfo/elc7tI6o8Ixf6dH8IxKp7/r6+lRHEOvAuD4TAbsc0NI6\nRym3Qh+VnwNres/Lt65s/+409+sAox90+k5T33jZ58hHrgzNkwk0V+dcHerK9Dob/Z+TtS+P/HS1\n0ywOpqPXIrD/VIhspO91+qzP1snK14f7vi381I2durrXzQOeVNa1xddb+1FBmi9D/9fFr7qPS1O7\nzPbv61T9yN3LPZ+bY6cZ08/29HR8H9WNyWyi10TAM6uGKFfwajYJFqHgDEsE7xNeH/BK+H7eB2Ap\nqWLVHKBCPdULB/dGntX3+Q7jpgdwwmKlVg61dqmLFxYDs4nLGpYHtYDofKJ7BKm/Bp1ot9tJNhpi\nHyDfbrcTCAQ4ExijLMt09APjACsNhI4AGmoVBGQjByU22g7yM5ucj8ff6o6HayT6Azimjbj8qSWU\nNuvcQ766mKCL8UVR3VNFf7NPUl0HdU+dWsKUJPj5Wi2kkDC1gHlLn+71QtcgOhpsB7JJUrdbJUs6\n55KvLgaojCBN+i7khfEDAR8MBmZWDTiE/HW/GAQHKzZ5tNttm5+frxx6jxshlmDkwtjR4xn0cHes\na7Ozk2iZ6JBayNFZSCx6vbi4mIgZhFGtY6p7kHLtc+Yj9KQoijQnIEcle4xvyH2n06nITzEK/Qch\nVgsw7aCe9BHlIEf6iXGoC1NqTaRstZQScAmCq4sPupcRGTd9JxuDrBw/ftw++MEP2pve9KYUXtTM\n7ODBg02v2m233WZf//rX7YknnrBLL73U3vOe99jXvvY1+/a3v21FUdjll19uH/nIR8zM7Prrr7c3\nvvGNdv3119vs7KzdddddWRBUB478vRzoMosPJo5YuK7UcM0Ddw++tC4R+fIEIwdi68CmJrWu5GQQ\nrbBHwDCXciBMSXAEYiNSkCPUdW3WOkQy9f9PA6xz7fUEJyojIgO+L+v6mPc9iYp0yJeryetn9G6d\nbuR0kbyj8VBHuryO5Pogqo+uhvn8IgKnq/1NbVK90/GSk0ddubn/vRxy95V858hW07u5OchsMrfV\nzQcRsYre9zrqn4nq7dukCwd1OvhcInbP1PcRMAEp0aArClwB0+gDYFNBo4IrVphZSQe0YfEChCiQ\nVlc3PcyZss0mhzzrfiyIAYcqU0/KMZtEYASA0r6ynJyHhxxUHuPx+WASgFfIEMRyOBxWzpAzsyRH\ngBXyUtLH/jcsbNSRNgJqlbggO93jBqjnOAnc0Mwsla8RH7nmXQ+JbOj3AwJQkTVzB3IfDocVd0vm\nAB/ZVHUIko/L23g8TiRd99GpxQp5QRoArrgx0ga1gOp+Kggp9cfl1X9D1C1T99WpFVndQfUdLHpq\nBaav9LurBA4sBCmkb5SMqNyRi1rQKEsXWMqyTMTDBwUxm+zRpN5Yc9mH12q10sIE+TJOtre30yIN\neqJt4CxH5gd1t1UyurS0ZP1+P+mbulriPgmhb7ValaMnsHCia8gVsqpBaiDHtJd7Z8+eTQso6Aky\npi9Uj9BtrIbaf3oECnqlLpaqI8w5LJjod0znNnXPps+Yk6kf7/iFC+7TPuaKutR4TMKxY8fCD/L/\n/u//1mb8TKWiOL85MrreRBz882aTQe5Bos+TTleTvr/vQafvZLO85aWOdOWu+Xr6VCeLHFmLnq8D\nXrm654B8BE5zZeRI1DQpAs1NgDoiC9FzEZDl78jixTsRSK4rp65fPcGK+nIamXn3At9X3v2uLl+V\nceT27J/JkYBo4SWXfL1VZ6IFB33Wt8mPY9930yyQNNUzqvOF5OV1qmns+TEUvaNzU1Sel5W+q89F\n7fBlar/mxoQ+/2w+JuGZSEVR2PHjx9N3DVChLmuAF3XF1L15uvdR9+gBwgEyS0tLae+U2WTczs3N\npYAb6j6lQJw+1UiJSgJxV1SXLbXqKXgGtLE3Sa1n+r1VOagFE/CGhYE64/bJCn2n09kXkGV9fT1Z\n2xQkAsI04t/u7m6yxiEHwF6n00lyB6SaTfY4YR2BzCoQZ4whG8gU/an7HBlXAENINOSD6ImLi4u2\ntbWVxigAFOKvBJ72KahX6xT3Iea6B7MsJ2epUZa6wikYH4/Hlb2IWIXNLO2bhHzQXiXT6J+fy2hT\nZFGmDRB0Fgc4z1Atlkr4/PiDjKGHlENfch8ZUKfd3V3rdrvpXcUqGv2Suuh83e/37cCBA0lvIPGK\nD2ZnZ9Mh5RBNxiEBfLT9LGBAaFS2rVYrjeXhcJj6nL4k2uVwOExWNBY4xuPzQVk4yH1paSmRQOoK\n4VKcsL29be1224piEnyJcVyWZXJd3d3dtQMHDqT5SqMHM36Qn7o4swjB4gdkDHdkdI3+7HQ6yaVc\n51R0QN1VdXwrkVS8wdjf3t62TqeTCL0u1nz1q1/NfiMbLXhRGOefdPIAOAeK/T3uc4/r3vqRIwF+\nFVoHtCeY/l2zqlndkwUPinLP+Pejd3NEpQ6oRaDbg0Jffy3DE5w6cI/MfbtyKWpb7pkcIfQA01u9\nzCauTVF9fV5ROV4f9ZmIPEVJZUwdta4RkamTe44kck8/gF4H/N9R2/W+JzC5MmknddZx6OWaqz/y\n8XroyyHph8G3Sd/x41Un3mhc6gc1IlA+RSTS1y2Su9bb11fz8aRJ9UPb4OXfRA6jNugzXtZRvtoe\nX09f1vOk7sknZK7WJwA74FIP5UUnAD8QI+0TruFOSDAKQB7/M0/pyjQr/AqkWOnudrsJ4AHaAVpY\nFAA3ahmj3oBIyAbROLF0KKnC5azT6STAevbsWdvb26sASuquBGVhYSGB1rIsk6wOHjyYQCuyRj6Q\nRdw/NXAIkSu9yyGgl/97vV5ypaMu1BMrH/ussOqU5cTtFpJgZgmwIldAKfPBzMyMdbvdyhyFvHUs\na5AM1SdIlll1H6Z+YzSYjs43gF6AM26tatmA5NP3us8RnVGLKeWobp09e9ba7XayFkHO6DsAeVmW\n1u12E7nR+XM0GlVcmKn37OysDYfDRNo0QI4GDtGyVEd17tOjErDWoCdYbYtichaimaX8OesREqWW\nzna7bRsbG5VgKkVxfs9kp9OxsixTcJTZ2dlEoMiXPsPdUS3L8/Pz6VBy7rHYQNuoq7aJRQZdjNjc\n3LROp5OeYwEESyOyYV5hcQMSTjksvOD6SH0ga/rtZkzT1xB56olc1eoMGWQsDAaDtECl41nzply1\n5s/NzdnGxob1er3KIhuRdPf29tI+WV18ifC8psYomjs7O/ZXf/VX9oY3vMF++Zd/2T70oQ/9xKOb\nKeips4p4IhKRgByA8gDGgzYP8nLvah65/Hzdorr4NkSy8O/5Z3JgWOvlAXvuXQ90+VGFi/Kqk5cH\nkzlZ5NrpyV9OXp5o5UAlE6mvCx8STxC5zweFPHzZdeA1klMdSfNAzMsqIhQqL9+2OtKkz3odj657\nOev9OrfUqH1eRtoPUT0iefJs3ZyR07Wo77yu+Wu+fXo/t1iiP16/onlEy9FVwUh+uTEYyVjz8fOC\nl3ndnJJLuflDwUvd+8+nfFJ3NFblCeNO/0FSAOBqedH9KwqyNZiDzoEKiikXgMR1gDkE0geRAORg\nSSCPopiQFH0WUA1Y0v1dusque33UUoLFamlpKdUT4nfu3LnkTqZ1BOQBGKkrkQixPmD1UHdI9izq\nfikzS+HZWaUHHAJWsdwgO3Xtg0SYWfp99uzZSruRDe00m4zhyy67rDL2AZ+4unF9fn7eDh48WNED\n3AYhlvRfWZaJpOHeODc3ZysrK4m04u6qc8rOzk5agFBXVrOJ+6Oe+Xfttdcm0o486SsNd099zSaW\nuna7nbyxuI58X/CCFySZ0TfqmqfRNHEPxjW5LMtUd5UJ1yBj6DkkhPKoP2MK3YckaITQsiyTThHM\nZDgcVqyJ6JjimK2trco+V8rrdruVvaadTieRU8iJ7gOjf1k0wWrPIkKv10suoWqVH4/HiThTr729\nPTtw4ECqK1Z95GJmtrm5mfSAAD7IQ/cq6jdEXXspD3JeFBOCBlH3QWUGg0FlIYx5gv5gPmEBSy2l\nujgM+df5Wf/XuYp36B90Ta3Yuv+4iYs1Erw77rjDvvWtb9nv//7v2x133GHf/OY37Y477mh67RlN\nHjjWERj/d0T4PBglL7P9IDgCYgqoIqAakTslmf59/24dgY3eicrUa/63r09dXtH/Wp+c7HNEKsrD\nl+GvRaTHEyJfZlSGz38a2UfANMovansktxxJmLZPo/cj/Ytknmt3E5mJ6uqJi+8jXzdPcOr6KTee\nprmmeUNeI/2Jxn70jH/O61ykTzmSmiMwdfrlLbnRmNLk3S+b2u4XJHxd/Zgj6eJKTmYK0HO6nmvH\n82n6pPuBIBWAHuQLEdEz25Sg6UHHWKfm5+fTKr8GVDGbrOADRFjBBkxBDMmbZ3QvEEEcALCASMCi\nkjQIqQbSwKoAuCMfANni4mI6hwsLAMEZXve61yWwjLsYhKjX6yXyBRgbjUapTWZm1113XSIOPphJ\nr9dLLl4aoELJ9NGjRyskjz4CKEJcAPAXXXRRAoCAS1w7qbe6AuqiDC5kR44cSXUCzCuoVsKH1URD\n9C8uLiaSh+7Q31hvsKRqkBMIMIk+52w1zUsDSkB40F3ypO/93BXpPISU+1ji0BN9Ry1fasVhcYA9\nnEr66E/0yy+YUgfagPURqyz6xVih7rg9KqFiDFFH3CshPbhL8ixWRHVBRY6MVcYX5HFxcTFZAhmr\nSvDRta2trbQo0+/3ExHRhQoWlJAzbqDMA5A06qv77iBRyFPdsamLujvyLvUlX+4R3VbJ3XA4rFhj\nIeaMc9zImWPV1dIvStAn9LnqiXoHMEdrtFol3pBjDUaDVZM5ri41ErxvfOMbds8999hNN91kN998\ns919990pdHNTestb3mKHDx9OkcDMzNbW1uz48eN29dVX22te85p0kKuZ2fvf/3676qqr7Nprr7V7\n7703m28EjnLkRO/D7vWaWXXvFXnohOhBioKlaJXb599EKJqskBFZiNofySFyHcuVq21Va0DOklBH\njBTMRWQtV+9pwbF/RtsT3c/JV+vWRLT1bwU2/r6myF3Wk1At39cjandEOvU3csi5s+bIVNMY0ndz\neehqodf7XFu8RciXdaEEINeGJlIVle/dRv148fJQ3YjaovWbti2qv9PMMX6Oqxuf3pJaV++obnV1\n8v8riPILZz6/5wLRe6a+j8gZkKKgFbCj1j2CpwGU0Q8ALMQNkEY+9CXAS8/XKsvJwepmVgG9uEmp\nBU6tFho8Qevsg5Dg1mVmCagRgVCBFiBQLWrc597q6uo+yyd7hiBEkAkN5767u1s5xBtrEu1QUK8u\np37ugIzhrgbY9mQBgI61BnKE+9j29nZy5WJ/kwac8W3XoyVwv9XvRlFMoh9qf0HisDjQBg2KgQ56\nyx8WIb51/GgADYiL9jfgXC0o6ISZJcKg1jnAPPlAHNQDB8saIB1Somfi6XcA4M15avS/uushXw1A\nQvtJSrzJG5degL4SUP5eWlpK+aEzWAp17LMYoEckIFONEEpf9/v9JCfIEfvWIEjqLk0bNJAK9aOd\nnoTjCm1mifRAtqgjFmT6RRcFIFabm5vpOzIzM2NbW1uJiPtvppmluQtLpUYj1UUJtaAxX6g7Kzqn\n23kg5chNx4NGwxwOh/v2/Km1lTIhgLQbF18foZcxVJcaCd7s7Kx973vfS/8/8MADFSWtS7/5m79p\nX/rSlyrX7rzzTjt+/LidPHnSbr75ZrvzzjvNzOz++++3v//7v7f777/fvvSlL9nv/d7v1fqX1gHq\n6Jk6UKVkxOfj36tbfVaCVAeWo9Xupo7yZWjKgU6zCdjXCYp3ojrqipPPL7JURrLTAaaAP0q+/XWg\nPkcY+FvJrH8vIlg5IqzPROVF7plNJNTfi0BwpDfahhzwjUiG18MmnYxkogm9yLlERmQ+R4ya6p+7\nX1e/C8kv944f81xvGnP6zjRlRuSm6b1pSKuOg7q66nXViaZxxv++n6OV8lz5dTpOapozni3pmfo+\nAkAAxAACJSUQP0Cx2XmSxMo9efAeib6BbKj1BLcqPbgY4IQ7FaBsbm4uEUdc98jXbGI1Masuvqm+\nQbSYm7AaqIXi3LlziaCRyFuJBLIys8rZWYB2LBWAWYB1WZZpZV7dStnXR55mlsCeyoU2AWyLYhKG\nviiKCrlkZR8ZKJhkHx7XsepheQOEKnbrdruVfZrqNkl9APUQHsA6BIS5AJkAxJW8RRYLgK5GcVQL\nhrqwqrUVXVLXScgh7yqZU4smY8K7cEJmiqJIrqkEUUHWjB3dw6VzGYslBIXiW6n6gO7h3qkBe3Rx\nQ10R9WxBPT6BcUq7WTjQwB9Yy4lUqaSXRQT0j7GADiMfIrxiCTMzGwwGlb1ueug55RC1E/3VRSS1\n2LPYodZexhk/rVYr7X9F59WCB+krislxCXrOJ33FGEeO6jZLnvQnOq4LE+gu8yFWV/Z1qrsmOszC\nCHkwZ5G3up7j2aBYi3cZY+Sv+5rrUiPB+/M//3O76aab7MYbb7Qbb7zRbrrpJvvgBz/Y9JqZmb3q\nVa+y1dXVyrXPf/7zdvvtt5uZ2e23326f/exnzczsc5/7nN122202Nzdnx44dsyuvvLLWUujJSgQc\nFNhGYCoidPquPqP/+2ueKHAtB6z0nubb1Fk5cO8BkQdPEZnLEYZcOyOg7kH8NHXOEaGo/KgtEZCe\nhkDmytA+VLCs7WoC91H7c2Qser5ORr6uOZJT1weetOdSXb5MkDlQmXO5rCszR35zaVqiz9+Nk1/G\npYey/Piepk8jwhWV2zQuNN+6+wp+LzR5fTebRPXKzXH+uj7L/ahtdc9EY+e5QPCeqe+jLlboNVyk\nAEJ8OxSk6uIVQEkBNP2trlPsvTGzBNbUuuCBFq6WADTqBwhSF0ZvhQRU8nw0bwOiKBOLhy5O4Y4F\nqMR6RX1wZ1NLIFY2ylMLm7pKQaIhJ2o5Qz4KoqmbkkfcCCHGlKlthpwruKdfVCaARHWDY98TbaJd\n2h/sUcIVE9Cr7qa6pxLgSUKXqA9kBbJoNolSib5BoNADQLBalpCZLkRAbLEyQlQA5ugnixKQK6wn\nWKgoD2sr9YAEaF7UWduArqrlTqMzqo5gSdOgNcgVyxhtgmyhOz6CJXkwvrBaLi0tpXogE8ayYkcl\nsaozlEXf4+qMjkDqCcRiZsn6hv7i3km/quVU/1c9h/TjHkkwJuqEZVXHIuM4akurNTnknnmNcqmj\neh+oBZm66rzEAg7zCW2mfuoqqgshOj74BrLApi6c6Kmfj5Vo0291qdEU9/M///N28uRJ+853vmNm\nZtdcc03TK7Xp1KlTdvjwYTMzO3z4sJ06dcrMzB599FF7xStekZ47evSoPfLII1PlqSDEkz1vLUMo\n/jlPuiIyoQLNgRQFJh7I5UCjThxNgDhHJnIy0XpE79YBR1/vCKhFcsvVO1fXHHGb5n+z/RbRCOhH\nhLquPtrPUT19XtMC9ijVuQH6eunvnM56vZymX6JnfH4KCKO8LoSw+THr2+jrEKVpdGVawlhHOprG\neS7VuchGY7iO+OX0MHrP97l/PjeOo3Y16aQfJ3585K43pVx5z/b0dHwfFYhtbGyYWfWYA90PBWCA\nvAE8ARMa0ADQqVEcFWBD5KgDRJB8ASwAOcgIxEYJgrpZcuYZ9aQcCBaAkHLRO3WtIk+1cEEWZmdn\nk5wAb51OxzY3N1OZ/GC55Dd7qJTMAO6oD+MTixgAm31SRIf07oVa91artc+CpW54OtaRLzLqdrtJ\njgDZoijswIEDlTr5xLXRaGQrKyv7vDcoB7BNvdjXxfva9zrPqAUCt0TagaVNz7vTfLa2tvYRDcin\n9r2Smr2989E5saBBaNWFdm1traIXGqWRPtOFCl1gQAeVNJXl5GxG5I/1EfIJQVFd85ZyxiTPIwvq\niMWK63rouI536od8uUbdaSf9ouV4axIEhvYxt3S73UogEMiuWsH8ESKMTQ0MRD0Y59r/WMaIqqn9\n4b9ntB/rKs+oyzT/s2dR937qAg46xjzBXKsLOdynj9E/xqsuGqmXgrpi0k70BX3SfHQPYC41WvBe\n+cpX2uLior3kJS+xl7zkJba4uGivfOUrm16bKuVAod6PkhKO3DsRgOSaukh5IhS951f2ddXaA6s6\nYNIEVKcBPn6S5e8IkPq6NLkVNl1T4uPL8qkOtNeVlbufA9zc0w9hri4XAuT1Oc17GoKYk2EkE6+f\nEQGfdhzkyEQuv6Y+ivLVj6l/Tu95guGfjcqJriHzSA56z7dPP5JNZU5DJprGefRhmWY8+/cj2UY6\nEdUlp18XMs789aitWkf/t/99IfPhhfbJsz092e+j7nlidVpJlVqQ1N0NsgaxAFwqYWLlmvtlWVYC\nP6iro84DAK1o/xN6omHklRh1Op2ULyvotI/8cLMzs7QHDlIFGPOuqvq8Astut5tkBplVixHlAbKo\nB3tslBxAdNi3RPmzs7OpHORBH+kh6/QH7mrUg3La7XYiJABCfmgPwJF3sF6oy6y6O+p8C4E2m4TE\nV/dHLDv0mQbxUEuin88pB9AKQaDPiGKKbqJryASdo3/pS4iSWi0JJEQdsOhATsgfSy/yhfxqNEON\nJIn8dHygK+gxeoeOmFllPAL+lRRSB7W4sm+RfNQ9UWWKNR1dg+AiD8gSfaO6Qx8qQYYIY1lUt1Jk\njnx9NFHaoRYoXIX93lKVA3nMzc3Z4uJihSRCnhjj6A/WTjOrRKxVqy7tJemZlei5J030uc5J9D33\n9buv40e9CJCzzou0yRuccInV+SbSMbhIXcpa8B577DF79NFHbTgc2re+9a1Ugc3NzeRz+2TS4cOH\n7Uc/+pG98IUvtMcee8wOHTpkZmZHjhyxhx9+OD33wx/+0I4cORLmoR8QBk9d8uBLBapJhexBqk5K\n0xKPHAj01y4keSUx2x8IxQPzOjJSl3Ky8OX7uvFuE+FtIrbTEsMcyJ0mP18HP9mp7tT1b1MdInnl\nyq9Lvj51pFHz9PXzuj1tPZRU5tqr+hfJqI4g5d6PyvMkpqmsurHqZcZYz71Lmf45dVWL8o3K9vlr\nyulYXV76bF07/e+6d/0zajWM8mhql9l+Cyfg7sm6nD4b0tPxfTx58mQC5ysrK8kVD0uLgjzdDwRo\nUdAxMzOTVssBGOyPIgAJZIk9I2aTABOAK/1O60p+URQV8Em9FejgdrW3t1c5l8rvEQPsqvsVxA9X\nTCxlZVmmA5cBcUooDh06lPYP6R44QCEgXYkq5GZmZiZFIYX0bGxspL2KEAgF5xyqrqv8kC89Z29m\nZqayV0qtG3owPH2BZQrwjax5Rsky7dR8zc6P9Xa7ncYnbdbDqiEgSlbQG0i5/7awT4nrWOtw+0QP\nIZS8C2HRhQzqAflRy5+6F/JsWU7OGETe+o4SEOSuLqTosuoG8xltVh2hTMgs76r1F+KJRVfJvdmE\nmJpN8CjthlQNh8Pk3qsWUrX6jsfjZE2kfQQU8paobreb3A/pI1xc0W31CkD27GWknuwFJdCJHtjt\nF3UY16rDqr/0DfqL9ZE66JmZLBR4a6wSM4006gMbQTQZ85SlrpLMEZBT8mA86neOiKL0I/qN6zJ1\n4beON+bEwWBga2trSafrUtaCd++999o73vEOe+SRR+ztb3+7veMd77C3v/3t9pd/+Zf2Z3/2Z7WZ\n1qVbb73V7rnnHjMzu+eee+z1r399uv7JT37SdnZ27MEHH7Tvfve79vKXvzzMg85mYtOUA08ecEXA\nB2WMgE+O5OTKiVJU7oWQrty71PtCk5KZOsKg1+tAtf87AucXmiLCkZNDE3mOQLbm30TIcyA91+e5\nhYBcUuLgr0fP5t6P5BGRo6g9yCFHImmLb39usSRXZ96ZRi5Nz2h9zar7wrwO5uYH3uddbynX/HJu\nibRHyY9+vHLlc/+pEJu6vvf/+zGvbSDVEUC/QFY3B9SlaP7QVfKmENDPxvR0fB+vueYau/zyy+2n\nfuqnbHl5OQFiBXv0nwK+oigqIbgBQxoFEAIHCWB/Fu9BAkejUVqFZm8JYIY9QhpwQffV4BaKlQPX\nTcAOY5QxQ7h5wDP7AtEtdePSPHTf3ebm5r6w67u7u7ayshdxzGQAACAASURBVJLAoLqTYs3wViBI\ngkZgVGuLWryQCe5y/A8Apd2UpxZXZMcY0sVn5IArG2AdIoJ8cN3keAJdJKZO1E+tikoAkSV97INR\nQHLV/U4tbzovU2+1tlFXADsEAr3QfNXCaTZxz0PnaQvWOUgz+oaO6LmLqi/qusw8T/7sb6UM5kgl\nC5AkFjHQDRZCuAYxoU+RASRJXUh136bqJ/lRnlo29RtH/ugX+8XoT84mVIuvWrmQtbpyqwzoAyyB\n7XY76Tr9pmf9Ibft7e1EzphvlGyjH61WyzqdTsXTQMe+LpSgTzMzM8kLQUmwWpX1e4zOKpHXAC0k\niBlygQTq4sm5c+eS/ur8pH3kF1yYEyCBvV7PrrjiCrvuuuvs6NGj4TeAlLXg3X777Xb77bfbP/zD\nP9gb3vCG2kxy6bbbbrOvf/3r9sQTT9ill15qf/qnf2rvete77I1vfKP97d/+rR07dsw+9alPmZnZ\n9ddfb2984xvt+uuvt9nZWbvrrrsagV0OwNcRC/6PVqBR+gicRmU2AVhd3a9b3fbArKnsiGRpe/w7\nOaClJmQlF03ETAmlt3b5uubu1RHmHBHzf9cROF+uJy1RW6OkH9DIPVbLiQBvdC1qo5dDtLBQ15eR\nfOverwPfXmboR6RnukLVVD/fRv3I5IhBlGekWypD3xfeBSKSUZS3tlH7WIkY/6tcovxy+hs9qx8k\nTTk5aF6+f7y+m8VHp/jxoe/nxkZu7EZjrG5e0zY8l9Iz9X1UQqYgAbCFrNWigc4pINYInLo3x1sk\niqJIZAliA5CDKAGsFxcXK+fHEd4fUIlLJCD47NmzCXRiyaBcCCVAEGBUlmWFPJhZZZ8Qe5o4N64o\nChsMBhVXOoKsYPlTYgXIY5VeXT+xJEL65ufnbWtrK1n+GBMKgAGDGgZdw/MPh8OKu22327XBYFCx\ntvj9XEQdpM/ULc/MKufajUaj1F8AXj1UHFKq+88U7CogVldD+h/LJ9ZfnYfQUTNLFsDt7W3r9XpJ\n7pSne6yIOAg4RpfQa56HlGB1Wl5erpAUSBj6BBFTFznmeFwEAfz0m9mEdCgJ1vGhVjl0eHZ21ra2\ntpL+04/qTszcyfgiT51Tcb/1+0F1/NJ3WGIZd/SDju2yLJP+tdttGw6HKSKsWmp1Dy39Slvp66Wl\npfRbo3yq5XFra6vifkl72WOn89Tc3JwNh8MUCVOtruge8tTFFD3XUxeR9AgKdABLqcpCdUD7UN1Q\nVd46F2swHaz7EE9IokYIHY1GFcKKTtNGFpd0POdSY5CV//iP/7Cbb77ZVlZWzMzszJkz9hd/8Rf2\n3ve+t+lV+8QnPhFev++++8Lr7373u+3d7353Y76aIuCqoMo/p/9Hv0k6cfk8cyBRnzfLAzUlDSgO\ngyMCbbyj7g++HTmQHYErD4h9270sFdh6kqPm52lA2rQkxafonWmIj3+3qc1RHXzf6DseUGs+qkNe\nXtqfZrGu5IgOIGOaukfvqy4rUY/Gkl8R9eXU6Z+Xi69f02JK1AZNXk+jcUnduJ4jWppfbqz7sjyJ\n0fvROIz+9u3RPsnJQAmav5ebD6N5ICKDvs11RDM37v3cWddWtRr4vOrG9LMhPVPfRyUNyBDXPAAh\ngMfvx9nZ2UlA0QM3CJiZJYAMyVGypRYQ6gN4xSJgZom0KeFR0rK7u5tAqIJe8l5eXrb19fWkawrK\nsYLg5TMcDu3AgQO2tbVlZlZxfSvL0s6cOVMhN4BXDXAwHA6t2+2mdrVarbSPjjP59BB3Jc9YNdUa\nh7xbrZYNBoOKmxzPETADvIDs6WMAsZLFoiis1+slWdG/ugdLE21VSxjh9SECWCN0jx0kGPIECSmK\nyXEDzAHU0bs4qrUHd975+XlbWFiwwWBQ0R/KB9SrTvjvqR4JAcnGOku5kDn04MiRI/bNb34zjRna\nDmlAH9hzpgSR34B4LH2QsU6nk3QDeYzHY+t0Okk2ahHEyg0JgLRwX9vLWEFPfbt0HxiLD+i9WgRb\nrfMh/zudTnL1VCJdlmVyM1ZXSp3n1YoJedIFAOqE1XhnZye5bKK7yFgtarQD8qdBhlR+uIEy7iGB\nWj/6BlJG/dVVE5lpMBP6h3FblpOomBo8SYkqf/MudUMmGiCHxQ2sp0p66U/awdxMoKFcagyy8sUv\nfjGROzOz1dVV+8IXvtD02v9JUiCgK0ukaQCGz0/BYAQ2VJm0jDow6EGVB00RYI6AqLc6ekuCf18/\nRPqMmtcjuUX10rprm5Vw5kCnl59va12KACjl+ntRnZsIoMoGmTIZ+Trz4dW25wgjeXod0ve0bAX3\ndeSgKCZ7VHw79UflkNNllZe/pvrtn4v62K9cqUzrZKL/Nz2b68Om9kVzgpd1pCfat/pDUt3nul+A\nyaU6vWl6T2VXV1YkD12Q0fx0btB5xddPCRnPRuV4vfGyzemT5j+NHJ9P+xPjkb0eWJYYo5yvhaUH\n1zfchwA5rMQT4EMDVwASdV8PRADAyDMapAI9gDhi6QLsqUuo2USPmPMIIlEUhZ05cybNo7qHBgDH\nfheIIvv3zCbWI/IEeFE+ESZp/97ennW73QSClUi0Wi3b3NxMxEOJM1YhM7Ner5fabjYJCAJ4B+SZ\nTUKmK2EFXKqbJHLShTgI2tbWVrJULC8vp7zo136/nwJSQDa4T/3QH2SHZYek545hAdSD3iGXOn+q\nKx9tYa8goBzyBhBX6yb6BKFED7F8KsmYnZ2t9LuSQ+4jZ8oAuOu5aHwv2OcGccZCrUdW6F5QZKLW\nRHRWFxjoO3RjcXHRer2ezczMJGsqhIa6A/xx48XKjD5g6VErKs9hSYJYkTcLNpBG5hMl4rqHjb5j\nsYP+gxCxoEKb6S891kMDoMzOTg5XV6sW7SfKpLaV/AaDQSKkZue/JUTGVA8C8vDfz9nZ2TQ26A/c\ndpGnJ5Ca19zcXDomQ11CyVv1l7lK3UVZXEGfdF809edvDcRSlxoJHuZMEgcf/iSTAm4E44FCRHT0\nf096PEjUfCKrmQc3OaDqgYw+My35iQCQJ3x6z8sjB3jrSJKXa0QcvMxVrj5FFiJN04JiTzBJnuzm\nQKz/UbIb9U2UB/9H9atrV05X9X1POLW8CPxG/aeyVr305EDf8/pGeTlLTPS8lunr6kmuJq8z0fjJ\nyT5HHKL+92X7BRP97duTK8+3UWUV6bTXvVyfRjoY1cO3yfe3f19X+tWDwM8jkUzN9ltD/bzn663j\nMrLWaZ19/hdKfp9Pk4RuaCAK3c+Chemiiy6qnIkH8ZmZmbFOp5OAny6GtNvtBHDoe4iamVWCMoxG\no3TmHNfUgrC7u5vKB+SrWydudzwLyOt0Ogl4AXg4XNnMKtYgytKAImbnwdfZs2et2+1WgmWYWQKX\nkAzAvgY/2NraquwV9WOLvYG4z+FuqvM0+Gpra6tCSnRMKQgfjUYpuAmWPMiUYoOiKCpg+Iknntjn\nUrexsZFcSiFvyEC/i+pyB0GgvwDm9Cvtpx2AYGQDqAWw+kiH+h4gnrIAv51Op2JZhuCbWQrKo3v3\niqKoWEKZ8yiH5yCYei4eRBoZYNlcWFiwdrudZEf5qm9YYJAh44q+VIsQskEvlcCrCy56qXoMuVDy\nD4FjzGFxUgtjURRJryGm5LW0tJQiiKILOzs7trm5mfS73W6nAEgspqB3uFDSzxC2oqju80X+1Ht7\nezuNK9qoxz2YmfX7/dT3tJvxhAwYW6PRqEL4lRDrXkK+xVhU1Q2SiK1bW1uVfZ5lWdpgMKhYv9E1\n9IdvGH0LicStHHloACztU9pOfZEbAVmaAl42umj++q//ut188832lre8xcqytI9//OP25je/uem1\nZzTlCIqSHg/wIsuZ5uVBoCc3ei3Kw4Oq6H1/PZePErMc8dGydNLK1YWPQAR8Nem7de327eHdKF+u\ne1IdyY/npwG5kXwjcB3VMZKnT54AeLlGZeV0UPOI5OT12NeL/tVrORCeyz96xhOoqI2eXNXpJGTB\nr8B7HfL6qXlH8o1IWqSDmvyYj9qv/+fmgFy5ubrkXCyjMZSbB/T5OsIWybSu/3VRTMuI+nSaMTPt\nuPJziiYFp5FuP58uPCFrgIGP/jYej/dFqcQqwXsAHEiALkgo+FJXOawcZlVQQ3+yYq/BGFjJ530I\nlIJwCBOEUMmEnqXFdw4QxrXRaGQHDhxIwV84q6vdbluv17P19fVUZyUtuIvhWqoBNtijh1UIsjIc\nDlM7IZ865pAhfaJBNsqyrJwzaGbJNWswGCS5A+LVlczMEkFhz5TKGhDJ+2tra/usb0r4qEe73U4E\nsSgm53Up6Fa3S60joB+CRZ8hT+ZK9gQiI9xqdX4hfw3CgrurWosVvGt+Ozs71uv1EkDGQsIetpWV\nlTRusNTiKohu8J6OMQ3IgkzobwgPixVYmrWP1dJ79uzZ5L6oZFqDzOg4pF8h6LSfcwKRg7oMQ7Bo\nAy7VSsB0HyEkkMUC9oiNx2MbDAaJdCBnM0suy2pdx/0QmSF37TPaCJH29cKLgLzYz6ZHdrCQ4T1s\ndH8dbrtFMQmqo/1aFOfdcuknItmq5YxxCcFj7mNBSIOmqLspZTJHmFUNT35RFP2AKLMwsLd3/viV\nutRI8N75znfai1/8YvvKV75iZmZ//Md/bL/4i7/Y9Nr/SYrISASUvfUIYeoqlQcd2iE5IuXd2Mzq\nV9ZzLpU5UDMN6PJAOSJ5Xj7aJu+yRdKPhida3nJaV+eIWGj91OUxkmNE/rxcm0iSTxG5iN6LCGRU\nN389J9Mm64QHwzli4dseAXp9PtJ9394ob+77hZQoT/+ef8bnGel91M46AhKliHB4OeTIG895y7zq\nux/DkR5E843vx2n0M+ov386ozbm2KfDief2g5NrAfb9w4RccfB28LKN2ar7++rR9/nzanwB1m5ub\nlVVuACJAa29vz0ajUXpGrayAIgWm586dSyBrOBzuIyvoh4Z05zvCqjgWBNVH9J1Va4hIq9Wy9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OHjxoe3uTM/gApwriALkKJtn/w3l3aiVrt9spQAKWDYC7gk1kh9w0aiCEVC0js7Oztr6+XlnU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\nIiIichD/AzoKzzFmoWmBAAAAAElFTkSuQmCC\n"
}
],
"prompt_number": 242
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In this step, I rotated the raw frames by 0.6 degrees counter-clockwise in order to make the spectrum of each star line up along one image axis. The arc lamps were rotated by the same amount so that they would remain consistent with their corresponding science targets.\n",
"\n",
"I then selected the image rows in which starlight appears (excluding empty background rows) and summed over each column to produce a spectrum in \"pixel space\" for both Deneb and Vega -- these are SCIENCE_uncal(x) and STANDARD_uncal(x) respectively."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Rotate the spectrum and sum up along one axis\n",
"vega_rotated = imrotate(vega_data, 0.6) # 0.6 chosen by hand as optimal\n",
"vega_spectral_line = vega_rotated[10:25, :] # cropping to just the star\n",
"vega_spectrum = np.sum(vega_spectral_line, 0) \n",
"\n",
"plot(vega_spectrum)\n",
"\n",
"deneb_rotated = imrotate(deneb_data, 0.6)\n",
"deneb_spectral_line = deneb_rotated[18:28, :]\n",
"deneb_spectrum = np.sum(deneb_spectral_line, 0)\n",
"\n",
"plot(deneb_spectrum)\n",
"xlabel(\"Pixel value on detector\")\n",
"text(800, 700, \"Vega\", color='b')\n",
"text(800, 1200, \"Deneb\", color='g')\n",
"title(\"Uncalibrated spectra\")\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 40,
"text": [
"<matplotlib.text.Text at 0x11eb58910>"
]
},
{
"output_type": "display_data",
"png": 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err0kfLpArjKSSCRFOHfzHKo5KnZE7qCHu7LkctFziyrUZ1YWjBqlbHfrVlEJ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\n"
}
],
"prompt_number": 40
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Next, I did a similar integration along columns to produce the arc lamp wavelength calibrators. These are not \"cropped\" before summing because the spectral lines extend vertically throughout the images (as seen above)."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Let's plot the arc lamp spectra.\n",
"\n",
"subplot(2,1,1)\n",
"title(\"Neon arc lamp spectra\")\n",
"plot(sum(imrotate(vega_arclamp, 0.6), 0))\n",
"text(1000, 8000, \"Neon lamp for Vega\", color='b')\n",
"subplot(2,1,2)\n",
"plot(sum(imrotate(deneb_arclamp, 0.6), 0), 'g')\n",
"text(1000, 18000, \"Neon lamp for Deneb\", color='g')\n",
"xlabel(\"Pixel value on detector\")"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 182,
"text": [
"<matplotlib.text.Text at 0x130dc2e10>"
]
},
{
"output_type": "display_data",
"png": 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7ZyGIhPYUl9q9oeqSs3B3Z9dMSHJXFwvuWXCaC/UuJKhSqXD69Gl8/PHH6NWr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\n"
}
],
"prompt_number": 182
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"I matched the neon spectral features in the previous cell to the neon spectra with known wavelengths linked at the beginning of this section. For each one, I identified 10 correspondences between pixel space and wavelength space, and recorded these correspondences below. Then I fit a third-order polynomial to these matches in order to extrapolate a functional relationship between pixel space and wavelength space. Below I show the wavelength solution fits for Vega and Deneb."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Read by hand, comparing to the above\n",
"vega_wavelength_solution_array = {\n",
" 823: 5852.49,\n",
" 738: 5944.83,\n",
" 597: 6096.16,\n",
" 551: 6143.06,\n",
" 434: 6266.50,\n",
" 369: 6334.43,\n",
" 322: 6383.00,\n",
" 306: 6402.25,\n",
" 205: 6506.53,\n",
" 118: 6598.95 \n",
" }\n",
"\n",
"w = vega_wavelength_solution_array\n",
"a, b, c, d = np.polyfit(w.keys(), w.values(), 3)\n",
"\n",
"plot(w.keys(), w.values(), 'ro')\n",
"xlabel(\"Pixel\")\n",
"ylabel(\"Wavelength ($\\AA$)\")\n",
"title(\"Vega wavelength solution\")\n",
"\n",
"vega_wavelength_solution = lambda x: a*x**3 + b*x**2 +c*x + d\n",
"\n",
"vega_wavelength_array = vega_wavelength_solution(arange(len(vega_spectrum)))\n",
"\n",
"plot(arange(100,900), vega_wavelength_solution(arange(100,900)), 'b--', hold=True)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 52,
"text": [
"[<matplotlib.lines.Line2D at 0x12077e290>]"
]
},
{
"output_type": "display_data",
"png": 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/P4sWLXrw4ORSmDAxpeD77+H//k8/ydhHH0HLluZOJUTxmPRSWHZ2NrGxsWRm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\nQgghjEoKixBCCKP6/2I93Rg3q/LhAAAAAElFTkSuQmCC\n"
}
],
"prompt_number": 52
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#plot(np.sum(imrotate(deneb_arclamp, 0.6), 0))\n",
"\n",
"# Read by hand, comparing to the above\n",
"deneb_wavelength_solution_array = {\n",
" 829: 5852.49,\n",
" 743: 5944.83,\n",
" 601: 6096.16,\n",
" 556: 6143.06,\n",
" 439: 6266.50,\n",
" 376: 6334.43,\n",
" 331: 6383.00,\n",
" 311: 6402.25,\n",
" 213: 6506.53,\n",
" 125: 6598.95 \n",
" }\n",
"\n",
"w = deneb_wavelength_solution_array\n",
"a, b, c, d = np.polyfit(w.keys(), w.values(), 3)\n",
"\n",
"deneb_wavelength_solution = lambda x: a*x**3 + b*x**2 +c*x + d\n",
"\n",
"deneb_wavelength_array = deneb_wavelength_solution(arange(len(deneb_spectrum)))\n",
"\n",
"plot(w.keys(), w.values(), 'ro')\n",
"xlabel(\"Pixel\")\n",
"ylabel(\"Wavelength ($\\AA$)\")\n",
"title(\"Deneb wavelength solution\")\n",
"\n",
"plot(arange(100,900), deneb_wavelength_solution(arange(100,900)), 'g--', hold=True)\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 172,
"text": [
"[<matplotlib.lines.Line2D at 0x12b349750>]"
]
},
{
"output_type": "display_data",
"png": 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IVKrGz2M5ffo0Tpw4AQAYMGAA+vTpU6MD5uXlYfr06bh48SIkEgk2btyIn3/+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\nEBGRUrGwEBGRUv0/mDgPfKLGS00AAAAASUVORK5CYII=\n"
}
],
"prompt_number": 172
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The wavelength solutions allow me to transform from SCIENCE_uncal(x) to SCIENCE_uncal($\\lambda$); I plot these (for Deneb and Vega) below."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plot(vega_wavelength_array, vega_spectrum)\n",
"plot(deneb_wavelength_array, deneb_spectrum)\n",
"\n",
"xlim(5000, 6700)\n",
"title(\"Wavelength-aligned, uncalibrated spectra\")\n",
"xlabel(\"Wavelength ($\\AA$)\")\n",
"text(6000, 650, \"Vega\", color='b')\n",
"text(6000, 1100, \"Deneb\", color='g')\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 63,
"text": [
"<matplotlib.text.Text at 0x122196cd0>"
]
},
{
"output_type": "display_data",
"png": 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bb8CcOTBrluzr8GGIiTFI80VSx7YOmbmZjPh1BC9vfJmFhxaSlZtlvA4VCkXR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\n"
}
],
"prompt_number": 63
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Next I create the transmission function by comparing my Vega spectrum to a reference ELODIE spectrum obtained online. To ensure that it was a relevant comparison, I smoothed and interpolated the ELODIE data to match the spectral resolution and sampling of my own data, and then divided the two to obtain the transmission function. The compared spectra and resulting transmission function are plotted below."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Let's create a \"transmission function\", using the ELODIE spectrum.\n",
"\n",
"elodie_vega_data = getdata(data_directory+\"elodie_19940830_0009.fits\")\n",
"elodie_vega_header = getheader(data_directory+\"elodie_19940830_0009.fits\")\n",
"ev_ref_wavelength = elodie_vega_header.get('CRVAL1')\n",
"ev_delta_wavelength = elodie_vega_header.get('CDELT1')\n",
"elodie_vega_wavelength = ev_ref_wavelength + np.arange(0, ev_delta_wavelength*len(elodie_vega_data), ev_delta_wavelength)\n",
"\n",
"fig = figure(figsize=(8,3))\n",
"s1 = subplot(1,2,1)\n",
"s1.plot(elodie_vega_wavelength, elodie_vega_data, alpha=0.5)\n",
"\n",
"# 200 is chosen to get the spectral features in ELODIE data to match qualitatively with my data.\n",
"elodie_smoothed = smooth(elodie_vega_data, 250, window='flat')\n",
"elodie_interpolated = np.interp(vega_wavelength_array, elodie_vega_wavelength, elodie_smoothed)\n",
"\n",
"s1.plot(vega_wavelength_array, elodie_interpolated, 'r', lw=2)\n",
"#xlim(6450, 6650)\n",
"xlim(vega_wavelength_array.min(), vega_wavelength_array.max())\n",
"ylim(0, 140000)\n",
"#ylim(0, 60000)\n",
"s1.set_title(\"ELODIE Vega spectrum,\\nbefore and after \\nsmoothing/interpolation\")\n",
"\n",
"s2 = subplot(1,2,2)\n",
"plot(vega_wavelength_array, vega_spectrum)\n",
"#xlim(6450, 6650)\n",
"xlim(vega_wavelength_array.min(), vega_wavelength_array.max())\n",
"#ylim(20, 150)\n",
"s2.set_title(\"My uncalibrated Vega spectrum\")\n",
"\n",
"figure()\n",
"\n",
"plot(vega_wavelength_array, vega_spectrum/elodie_interpolated)\n",
"\n",
"transmission_function = smooth(vega_spectrum/elodie_interpolated, 25)\n",
"\n",
"# now interpolate through the transmission function to make sure it's complete everywhere\n",
"T = transmission_function\n",
"\n",
"ok = -np.isnan(T)\n",
"xp = ok.ravel().nonzero()[0]\n",
"fp = T[-np.isnan(T)]\n",
"x = np.isnan(T).ravel().nonzero()[0]\n",
"\n",
"T[np.isnan(T)] = np.interp(x, xp, fp)\n",
"\n",
"plot(vega_wavelength_array, T, 'r',lw=2)\n",
"title(\"Transmission function, derived from Vega data\")\n",
"xlim(5000, 6700)\n",
"#ylim(0.002, 0.003)\n",
"\n",
"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 337,
"text": [
"(5000, 6700)"
]
},
{
"output_type": "display_data",
"png": 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pdVXMUV5+fhUVFTx48IBfd1ZWFp8kpaLPPvsM8vLyuH//PrKzs3HgwIFqTwAqMjIyqrSP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\n4XM4NfA+7n7uXoLCetO7twywcwS2yn8hOmLgQHj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C\n"
},
{
"output_type": "display_data",
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RlecvQd3jUdhTGU5P/BghO+YKHYndBz5oawRu3AAKnlsI34pLKJN0gcOna4SO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\n"
}
],
"prompt_number": 337
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now that I have the transmission function in hand, I interpolate it to Deneb's wavelength grid and then divide the uncalibrated Deneb spectrum by the transmission function to produce a calibrated spectrum of Deneb."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Now let's apply the transmission function to Deneb!\n",
"\n",
"T_deneb = np.interp(deneb_wavelength_array, vega_wavelength_array[::-1], T[::-1])\n",
"\n",
"#figure()\n",
"##plot(vega_wavelength_array, T)\n",
"#plot(deneb_wavelength_array, T_deneb)\n",
"\n",
"figure(figsize=(15,3))\n",
"s1=subplot(1,3,1)\n",
"plot(deneb_wavelength_array, deneb_spectrum, 'g')\n",
"title(\"Uncalibrated Deneb Spectrum $\\div$\")\n",
"xlim(5100, 6700)\n",
"subplot(1,3,2, sharex=s1)\n",
"plot(deneb_wavelength_array, T_deneb, 'r', scalex=False)\n",
"title(\"Transmission function (from Vega) =\")\n",
"subplot(1,3,3, sharex=s1)\n",
"plot(deneb_wavelength_array, deneb_spectrum/T_deneb, 'g', scalex=False)\n",
"title(\"'Calibrated' Deneb spectrum\")"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 171,
"text": [
"<matplotlib.text.Text at 0x12e5d4510>"
]
},
{
"output_type": "display_data",
"png": 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4OM/j4efnp/ODTc7pvBpv+ZU3Y8aMEe+9916e+Xh6eqoVvSxZxyQ9PV1UqVJFXLp0SV22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\nQmCC\n"
}
],
"prompt_number": 171
},
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"4. Results"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The final Deneb spectrum is shown below, with notable features identified. Deneb is a typical A star, with strong hydrogen lines and many metal ion (Fe, Cr, Si, O) lines but an otherwise smooth continuum-dominated spectrum, and this is seen in my plot. \n",
"\n",
"* I use this paper, Schiller & Przybilla (2013), as a reference to identify my spectral features: http://arxiv.org/pdf/0712.0040v1.pdf\n",
"\n",
"The overall shape of the spectrum is unusual here, and does not resemble the reference Vega spectrum over large spectral ranges despite both these stars being early A type stars. I posit that the discrepancies are limited to the wings, i.e. blueward of 5450 \u00c5 and redward of 6200 \u00c5, and that between these boundaries, this spectrum faithfully repdroduces Deneb's actual spectral behavior. Indeed, the SBIG-SGS documentation notes that the high-res setting only has a spectral range of 750 \u00c5 despite the apparent >1500 \u00c5 seemingly available from our plots: the explanation is that the spectrograph is known to perform very badly outside of the core 750 \u00c5 range I just outlined above.\n",
"\n",
"Deneb has reference spectra available online at ELODIE, and I plot the \"good\" section of wavelength coverage (5450 - 6200 \u00c5) to compare between our spectrum and the reference spectrum."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"figure(figsize=(10,6))\n",
"\n",
"plot(deneb_wavelength_array, deneb_spectrum/T_deneb, 'g')\n",
"#xlim(5100, 5300)\n",
"\n",
"#ylim(0, 100000)\n",
"\n",
"ax = gca()\n",
"\n",
"title(\"Result: Spectrum of Deneb\")\n",
"xlabel(\"Wavelength ($\\AA$)\")\n",
"ylabel(\"Arbitrary flux units\")\n",
"\n",
"arrowprops=dict(facecolor='black', shrink=0.05,\n",
" width=0.5, headwidth=6)\n",
"\n",
"ax.annotate('Fe II $\\lambda$ 5169', \n",
" xy=(5169-4, 38000), xytext=(5150, 10000),\n",
" arrowprops=arrowprops)\n",
"\n",
"ax.annotate('Fe II $\\lambda$ 5197',\n",
" xy=(5197.48-4, 43000), xytext=(5200, 20000),\n",
" arrowprops=arrowprops)\n",
"\n",
"ax.annotate('Fe II $\\lambda$ 5276',\n",
" xy=(5276-2, 64000), xytext=(5300, 30000),\n",
" arrowprops=arrowprops)\n",
"\n",
"ax.annotate('Fe II $\\lambda$ 6147',\n",
" xy=(6147+4, 62000), xytext=(6150, 30000),\n",
" arrowprops=arrowprops)\n",
"\n",
"ax.annotate('Fe II $\\lambda$ 6238',\n",
" xy=(6238+6, 66000), xytext=(6250, 42000),\n",
" arrowprops=arrowprops)\n",
"\n",
"ax.annotate('Cr II $\\lambda$ 5237',\n",
" xy=(5237-4, 60000), xytext=(5150, 100000),\n",
" arrowprops=arrowprops)\n",
"\n",
"ax.annotate('Cr II $\\lambda$ 5313',\n",
" xy=(5313+4, 72000), xytext=(5350, 50000),\n",
" arrowprops=arrowprops)\n",
"\n",
"ax.annotate(r'H $\\alpha: \\lambda$ 6563',\n",
" xy=(6563+4, 170000), xytext=(6500, 140000),\n",
" arrowprops=arrowprops)\n",
"\n",
"ax.annotate(r'He I $\\lambda$ 5875',\n",
" xy=(5875+2, 75000), xytext=(5700, 120000),\n",
" arrowprops=arrowprops)\n",
"\n",
"ax.annotate(r'Si II $\\lambda$ 5978',\n",
" xy=(5978+4, 72000), xytext=(5900, 110000),\n",
" arrowprops=arrowprops)\n",
"\n",
"ax.annotate('O I $\\lambda$ 6158',\n",
" xy=(6158+4, 67000), xytext=(6100, 100000),\n",
" arrowprops=arrowprops)\n",
"\n",
"#xlim(5900, 6000)\n",
"#ylim(0, 130000)\n",
"xlim(5100, 6700)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 338,
"text": [
"(5100, 6700)"
]
},
{
"output_type": "display_data",
"png": 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ETkRERKSaU0InIiIiUs0poRMRERGp5pTQiYiIiFRzSuhEREREqjkldCIiIiLVnBI6ERER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\nL/jw4UNFomFlEwGd3MOHD7G3t1d2M6r15w35iHYPqx6Mdhm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Xzo8/b/zJ0t5LgX++UZoZ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\nIzq4iEYvAAAAAElFTkSuQmCC\n"
}
],
"prompt_number": 338
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"figure(figsize=(10,6))\n",
"\n",
"plot(deneb_wavelength_array, deneb_spectrum/T_deneb, 'g')\n",
"ax = gca()\n",
"\n",
"title(\"Result: Spectrum of Deneb (zoomed to 'good' region)\")\n",
"xlabel(\"Wavelength ($\\AA$)\")\n",
"ylabel(\"Arbitrary flux units\")\n",
"\n",
"xlim(5430, 6200)\n",
"ylim(30000, 110000)\n",
"\n",
"arrowprops=dict(facecolor='black', shrink=0.05,\n",
" width=0.5, headwidth=6)\n",
"\n",
"ax.annotate(r'He I $\\lambda$ 5875',\n",
" xy=(5875+2, 74000), xytext=(5780, 60000),\n",
" arrowprops=arrowprops)\n",
"\n",
"ax.annotate(r'Si II $\\lambda$ 5978',\n",
" xy=(5978+4, 72000), xytext=(5900, 85000),\n",
" arrowprops=arrowprops)\n",
"\n",
"ax.annotate('O I $\\lambda$ 6158',\n",
" xy=(6158+4, 67000), xytext=(6100, 80000),\n",
" arrowprops=arrowprops)\n",
"\n",
"ax.annotate('Fe II $\\lambda$ 6147',\n",
" xy=(6147+4, 62000), xytext=(6100, 40000),\n",
" arrowprops=arrowprops)\n",
"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 336,
"text": [
"<matplotlib.text.Annotation at 0x142ac5690>"
]
},
{
"output_type": "display_data",
"png": 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/3sLHxwcfH59yy9fK0IqkO0lEp0XTwb5DsW3a27Xnw24fMth1MPp6+lx57Ypu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\n"
}
],
"prompt_number": 336
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"elodie_deneb_data = getdata(data_directory+\"elodie-20040821-0023.fits\")\n",
"elodie_deneb_header = getheader(data_directory+\"elodie-20040821-0023.fits\")\n",
"ed_ref_wavelength = elodie_deneb_header.get('CRVAL1')\n",
"ed_delta_wavelength = elodie_deneb_header.get('CDELT1')\n",
"elodie_deneb_wavelength = ed_ref_wavelength + np.arange(0, ed_delta_wavelength*len(elodie_deneb_data), ed_delta_wavelength)\n",
"\n",
"figure(figsize=(10,6))\n",
"\n",
"s1 = subplot(2,1,1)\n",
"plot(elodie_deneb_wavelength, elodie_deneb_data, 'g', alpha=0.5)\n",
"plot(elodie_deneb_wavelength, smooth(elodie_deneb_data, 100, window='hamming'), 'm', lw=2)\n",
"xlim(5430, 6200)\n",
"ylim(0, 120000)\n",
"text(5500, 70000, \"ELODIE reference Deneb spectrum\", color='g')\n",
"text(5800, 70000, \"(smoothed)\", color='m')\n",
"s2 = subplot(2,1,2, sharex=s1)\n",
"plot(deneb_wavelength_array, deneb_spectrum/T_deneb, 'g', scalex=False)\n",
"ylim(0, 110000)\n",
"text(5500, 70000, \"My calibrated Deneb spectrum\", color='g')\n",
"\n",
"title(\"Comparison of Deneb between my data and reference\")"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 357,
"text": [
"<matplotlib.text.Text at 0x13c1d1750>"
]
},
{
"output_type": "display_data",
"png": 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ppPGdRqojq4kwRrCpeBMZURnUOAOjdM/1CF1BEITTJcmnM7zxF0iSpNMaoflr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\n/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46NjQ0RERE4OTnVH4AEOCGEEEIYiWYPcHcLCXBCCCGEMBZyKy0hhBBCiBZKApwQQggh\nhJGRACeEEEIIYWQkwAkhhBBCGBkJcEIIIYQQRkYCnBBCCCGEkZEAJ4QQQghhZCTACSGEEEIYGQlw\nQgghhBBGRgKcEEIIIYSRkQAnhBBCCGFkJMAJIYQQQhgZCXBCCCGEEEZGApwQQgghhJGRACeEEEII\nYWQkwAkhhBBCGBkJcEIIIYQQRkYCnBBCCCGEkZEAJ4QQQghhZG4rwFVXV+Pj48OoUaMAyM/PJyAg\nABcXF4YNG0ZBQYGhbWhoKDqdDldXV/bv329YHh8fj6enJzqdjgULFhiWV1RUMHnyZHQ6HQMGDCAt\nLe12uiqEEEII8adxWwFu1apV9O7dG41GA0BYWBgBAQGcP3+eIUOGEBYWBkBiYiKRkZEkJiYSFRXF\n3LlzUUoBMGfOHDZv3kxycjLJyclERUUBsHnzZmxsbEhOTmbhwoUsWbLkdroqhBBCCPGn0egAl5GR\nwb59+5g9e7YhjO3du5fp06cDMH36dHbv3g3Anj17CAoKwtzcHCcnJ5ydnYmJiSE7O5uioiJ8fX0B\nmDZtmmGdn29r/PjxHDx4sPGjFEIIIYT4E2l0gFu4cCHLly/HxOS/m8jNzcXOzg4AOzs7cnNzAcjK\nykKr1RraabVaMjMz6y13cHAgMzMTgMzMTBwdHQEwMzPD2tqa/Pz8xnZXCCGEEOJPw6wxK3322WfY\n2tri4+NDdHR0g200Go3hp9U7LSQkxPDY398ff3//P2S/QgghhBC3Eh0dfdOsdDsaFeC+++479u7d\ny759+ygvL+f69esEBwdjZ2dHTk4O9vb2ZGdnY2trC9QeWbt06ZJh/YyMDLRaLQ4ODmRkZNRbfmOd\n9PR0unbtil6vp7CwkI4dOzbYn58HOCGEEEKIu8UvDyy9+uqrTbLdRv2EumzZMi5dukRKSgoRERE8\n/PDDbN26ldGjRxMeHg5AeHg4Y8eOBWD06NFERERQWVlJSkoKycnJ+Pr6Ym9vT7t27YiJiUEpxdat\nWxkzZoxhnRvb+vjjjxkyZEhTjFcIIYQQwug16gjcL934qfSFF15g0qRJbN68GScnJ3bs2AFA7969\nmTRpEr1798bMzIx169YZ1lm3bh0zZsygrKyMwMBARowYAcCsWbMIDg5Gp9NhYzWNd8YAAAz6SURB\nVGNDREREU3RVCCGEEMLoadSNS0iNlEajwciHIIQQQogWoqlyi9yJQQghhBDCyEiAE0IIIYQwMhLg\nhBBCCCGMjAQ4IYQQQggjIwFOCCGEEMLISIATQgghhDAyEuCEEEIIIYyMBDghhBBCCCMjAU4IIYQQ\nwshIgBNCCCGEMDIS4IQQQgghjIwEOCGEEEIIIyMBTgghhBDCyEiAE0IIIYQwMhLghBBCCCGMjAQ4\nIYQQQggjIwFOCCGEEMLISIATQgghhDAyjQpwly5d4qGHHsLd3R0PDw9Wr14NQH5+PgEBAbi4uDBs\n2DAKCgoM64SGhqLT6XB1dWX//v2G5fHx8Xh6eqLT6ViwYIFheUVFBZMnT0an0zFgwADS0tIaO0Yh\nhBBCiD+VRgU4c3NzVqxYwdmzZzl69Chr164lKSmJsLAwAgICOH/+PEOGDCEsLAyAxMREIiMjSUxM\nJCoqirlz56KUAmDOnDls3ryZ5ORkkpOTiYqKAmDz5s3Y2NiQnJzMwoULWbJkSRMNWQghhBDCuDUq\nwNnb29OnTx8A2rRpg5ubG5mZmezdu5fp06cDMH36dHbv3g3Anj17CAoKwtzcHCcnJ5ydnYmJiSE7\nO5uioiJ8fX0BmDZtmmGdn29r/PjxHDx48PZGKoQQQgjxJ3Hb58ClpqZy/Phx/Pz8yM3Nxc7ODgA7\nOztyc3MByMrKQqvVGtbRarVkZmbWW+7g4EBmZiYAmZmZODo6AmBmZoa1tTX5+fm3210hhBBCCKN3\nWwGuuLiY8ePHs2rVKtq2bVvnNY1Gg0ajua3OCSGEEEKI+swau2JVVRXjx48nODiYsWPHArVH3XJy\ncrC3tyc7OxtbW1ug9sjapUuXDOtmZGSg1WpxcHAgIyOj3vIb66Snp9O1a1f0ej2FhYV07Nixwb6E\nhIQYHvv7++Pv79/YYQkhhBBCNJno6Giio6ObfLsadeNqgt9BKcX06dOxsbFhxYoVhuV///vfsbGx\nYcmSJYSFhVFQUEBYWBiJiYlMmTKF2NhYMjMzGTp0KBcuXECj0eDn58fq1avx9fVl5MiRzJ8/nxEj\nRrBu3TpOnz7N+vXriYiIYPfu3URERNQfgEZDI4YghBBCCPGHa6rc0qgAd+TIER544AG8vLwMP5OG\nhobi6+vLpEmTSE9Px8nJiR07dtC+fXsAli1bxpYtWzAzM2PVqlUMHz4cqJ1GZMaMGZSVlREYGGiY\nkqSiooLg4GCOHz+OjY0NERERODk51R+ABDghhBBCGIlmDXB3EwlwQgghhDAWTZVb5E4MQgghhBBG\nRgKcEEIIIYSRkQAnhBBCCGFkJMAJIYQQQhgZCXBCCCGEEEZGApwQQgghhJGRACeEEEIIYWQkwAkh\nhBBCGBkJcEIIIYQQRkYCnBBCCCGEkZEAJ4QQQghhZCTACSGEEEIYGQlwQgghhBBGRgKcEEIIIYSR\nkQAnhBBCCGFkJMAJIYQQQhgZCXBCCCGEEEZGApwQQgghhJGRACeEEEIIYWTu+gAXFRWFq6srOp2O\nN954o7m7I4QQQgjR7O7qAFddXc28efOIiooiMTGR7du3k5SU1NzduiOio6Obuwt3PanRrUl9fp3U\n6NakPr9OanRrUp8/zl0d4GJjY3F2dsbJyQlzc3Mef/xx9uzZ09zduiPkTf/rpEa3JvX5dVKjW5P6\n/Dqp0a1Jff44d3WAy8zMxNHR0fBcq9WSmZnZjD0SQgghhGh+d3WA02g0zd0FIYQQQoi7jkYppZq7\nEzdz9OhRQkJCiIqKAiA0NBQTExOWLFliaNOnTx9OnjzZXF0UQgghhPjNevbsyYULF257O3d1gNPr\n9fTq1YuDBw/StWtXfH192b59O25ubs3dNSGEEEKIZmPW3B24FTMzM95++22GDx9OdXU1s2bNkvAm\nhBBCiBbvrj4CJ4QQQggh6rurL2Iwdk5OTnh5eeHj44Ovry8AISEhaLVafHx88PHx4YsvvjC0Dw0N\nRafT4erqyv79+w3L4+Pj8fT0RKfTsWDBgj98HHdSQzUCWLNmDW5ubnh4eNQ557Gl1aih+kyePNnw\n/unRowc+Pj6G9i2tPtBwjWJjY/H19cXHx4f+/ftz7NgxQ/uWVqOG6nPy5EkGDhyIl5cXo0ePpqio\nyNC+pdUHoKCggAkTJuDm5kbv3r2JiYkhPz+fgIAAXFxcGDZsGAUFBYb2La1Gv6zP0aNH2blzJ+7u\n7piampKQkFCnfUurDzRco8WLF+Pm5oa3tzePPfYYhYWFhvZNUiMl7hgnJyd19erVOstCQkLUW2+9\nVa/t2bNnlbe3t6qsrFQpKSmqZ8+eqqamRimlVP/+/VVMTIxSSqlHHnlEffHFF3e+83+Qhmr09ddf\nq6FDh6rKykqllFKXL19WSrXMGjVUn59btGiReu2115RSLbM+SjVcowcffFBFRUUppZTat2+f8vf3\nV0q1zBo1VJ9+/fqpb7/9Viml1JYtW9T//u//KqVaZn2UUmratGlq8+bNSimlqqqqVEFBgVq8eLF6\n4403lFJKhYWFqSVLliilWmaNGqpPUlKSOnfunPL391fx8fGGti2xPko1XKP9+/er6upqpZRSS5Ys\nafL3kByBu8NUA79QN7Rsz549BAUFYW5ujpOTE87OzsTExJCdnU1RUZHhm/O0adPYvXv3He/3H+mX\n9Vi/fj0vvvgi5ubmAHTu3BlouTVq6P1yY/mOHTsICgoCWm59oH6NunTpYvi2W1BQgIODA9Bya/TL\n+iQnJzN48GAAhg4dyr///W+gZdansLCQw4cPM3PmTKD23Gtra2v27t3L9OnTAZg+fbphvC2tRjer\nj6urKy4uLvXat7T6wM1rFBAQgIlJbczy8/MjIyMDaLoaSYC7gzQaDUOHDqVfv368++67huVr1qzB\n29ubWbNmGQ7LZ2VlodVqDW1uTFr8y+UODg5/qsmMG6pRcnIy3377LQMGDMDf35+4uDigZdboZu8h\ngMOHD2NnZ0fPnj2BllkfaLhGYWFhLFq0iG7durF48WJCQ0OBllmjhurj7u5uuKvNzp07uXTpEtAy\n65OSkkLnzp158skn6du3L0899RQlJSXk5uZiZ2cHgJ2dHbm5uUDLq1FD9SktLb1p+5ZWH/htNdqy\nZQuBgYFA09VIAtwd9J///Ifjx4/zxRdfsHbtWg4fPsycOXNISUnhxIkTdOnShUWLFjV3N5tVQzXS\n6/Vcu3aNo0ePsnz5ciZNmtTc3Ww2DdXnhu3btzNlypRm7N3doaEazZo1i9WrV5Oens6KFSsM34xb\noobqs2XLFtatW0e/fv0oLi7GwsKiubvZbPR6PQkJCcydO5eEhASsrKwICwur00aj0bTYieV/S31a\nul+r0euvv46FhUWTf15LgLuDunTpAtT+BDhu3DhiY2OxtbU1fBjMnj2b2NhYoDZp3/gWDJCRkYFW\nq8XBwcFw2PXG8hs/B/0ZNFQjrVbLY489BkD//v0xMTHhypUrLbJGDdUHaj8wdu3axeTJkw1tW2J9\noOEaxcbGMm7cOAAmTJjQov+dNVSfXr168eWXXxIXF8fjjz9uOIrbEuuj1WrRarX0798fqH2/JCQk\nYG9vT05ODgDZ2dnY2toCLa9GN6vPzbS0+sCta/T++++zb98+PvroI0P7pqqRBLg7pLS01HBlV0lJ\nCfv378fT09PwgQCwa9cuPD09ARg9ejQRERFUVlaSkpJCcnIyvr6+2Nvb065dO2JiYlBKsXXrVsaO\nHdssY2pqN6vR2LFj+frrrwE4f/48lZWVdOrUqcXV6Gb1Afjqq69wc3Oja9euhvYtrT7QcI08PDxw\ndnbmm2++AeDrr782nKvT0mp0s/dQXl4eADU1NSxdupQ5c+YALa8+APb29jg6OnL+/Hmg9t+Wu7s7\no0aNIjw8HIDw8HDDeFtajW5Wn5/7+TmWLa0+cPMaRUVFsXz5cvbs2YOlpaWhfZPVqCmvwhD/9eOP\nPypvb2/l7e2t3N3d1bJly5RSSgUHBytPT0/l5eWlxowZo3JycgzrvP7666pnz56qV69ehivolFIq\nLi5OeXh4qJ49e6rnnnvuDx/LnXKzGlVWVqqpU6cqDw8P1bdvX3Xo0CHDOi2pRjerj1JKzZgxQ23c\nuLHeOi2pPkrdvEbHjh1Tvr6+ytvbWw0YMEAlJCQY1mlJNbpZfVauXKlcXFyUi4uLevHFF+us05Lq\nc8OJEydUv379lJeXlxo3bpwqKChQV69eVUOGDFE6nU4FBASoa9euGdq3tBo1VJ9PPvlEabVaZWlp\nqezs7NSIESMM7VtafZSqX6Nr164pZ2dn1a1bN9WnTx/Vp08fNWfOHEP7pqiRTOQrhBBCCGFk5CdU\nIYQQQggjIwFOCCGEEMLISIATQgghhDAyEuCEEEIIIYyMBDghhBBCCCMjAU4IIYQQwshIgBNCCCGE\nMDIS4IQQQgghjMz/B67ZWkRAkkGnAAAAAElFTkSuQmCC\n"
}
],
"prompt_number": 357
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"A comparison of the science spectrum with the smoothed reference spectrum shows that they are a very, very good match within this wavelength range. The only visible discrepancy is that the spectral slope is steeper in my data versus the reference spectrum."
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"5. Conclusions"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"I think that this was a worthwhile project overall. I know there was a lot of concern about why we didn't take data earlier in the course -- I think that one simple way to address this would be to just require students (with a due date) to take their data in, e.g., the first half of the semester, and then only extend that if necessary, rather than rely on students scheduling the observations early. I enjoyed the experience of manipulating the data by hand and seeing that the reduction process isn't too arcane, but also it was good to get a feel for which parts don't work very well, such as how I thought the flux calibration was supposed to be good over the whole spectral range rather than just the inside part."
]
}
],
"metadata": {}
}
]
}
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