{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Spectroscopy Module\n", "\n", "**Lecturer:** Robert Quimby
\n", "**Jupyter Notebook Author:** Robert Quimby
\n", "**With Contributions from:** Cameron Hummels, Matt Hankins, & Leo Singer\n", "\n", "This is a Jupyter notebook lesson taken from the GROWTH Summer School 2019. For other lessons and their accompanying lectures, please see: http://growth.caltech.edu/growth-school-2019.html\n", "\n", "## Objective\n", "\n", "Extract a 1-D spectrum from a 2-D image of a long-slit spectrum, determine wavelength solution, and then measure the redshift of the target.\n", "\n", "\n", "## Key steps\n", "- determine the mapping between pixel coordinates and lines of constant wavelength\n", "- create and subtract a 2D model of the sky background from the science image\n", "- determine the mapping between pixel coordinates and lines of constant spatial position\n", "- extract (sum) the background subtracted target counts in each wavelength bin\n", "- determine the wavelengths for each wavelength bin\n", "- identify line features in the extracted spectrum and use the known rest wavelength to compute a redshift\n", "- normalize a flat field image wavelength bin by wavelength bin and correct the images for pixel-to-pixel efficiencies \n", "- extract a spectrum of a \"standard star\" with a known flux densities\n", "- use the standard star spectrum to calibrate the instrumental response function\n", "- use the response function to convert the target counts into flux densities\n", "- identify telluric absorption features in the standard star spectrum and correct the target spectrum for these absorption bands\n", "\n", "*Note we may not get through all of these steps today. We will do our best to get as far down the list as we can and leave any remaining steps for you as homework.\n", "\n", "## Required dependencies\n", "\n", "See GROWTH school webpage for detailed instructions on how to install these modules and packages. Nominally, you should be able to install the python modules with `pip install `. The external astromatic packages are easiest installed using package managers (e.g., `rpm`, `apt-get`).\n", "\n", "### Python modules\n", "* python 3\n", "* astropy\n", "* numpy\n", "* scipy\n", "* matplotlib\n", "* pyds9\n", "\n", "### External packages\n", "* ds9 http://ds9.si.edu/site/Home.html \n", "\n" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# python modules that we will use\n", "import numpy as np\n", "from astropy.io import fits\n", "from astropy.stats import sigma_clip\n", "from scipy.interpolate import interp1d\n", "from scipy.interpolate import LSQBivariateSpline, LSQUnivariateSpline\n", "from scipy.optimize import fmin\n", "from scipy.optimize import least_squares\n", "import pickle\n", "\n", "%matplotlib inline\n", "import matplotlib.pylab as plt\n", "import os\n", "import subprocess" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# optional launch DS9 for displaying image data\n", "import pyds9\n", "ds9 = pyds9.DS9()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# change plotting defaults\n", "plt.rc('axes', labelsize=14)\n", "plt.rc('axes', labelweight='bold')\n", "plt.rc('axes', titlesize=16)\n", "plt.rc('axes', titleweight='bold')\n", "plt.rc('font', family='sans-serif')\n", "plt.rcParams['figure.figsize'] = (15, 7)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "cwd = os.getcwd()\n", "data_dir = os.path.join(cwd, 'data')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Test dependencies\n", "\n", "In order for this jupyter notebook to function correctly, we must have some external software installed, as described above. The following step assures that these are installed properly before getting to the rest of the content of this lesson." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ds9 is installed properly. OK\n", "\n", "1 out of 1 dependencies installed properly.\n", "You are ready to continue.\n" ] } ], "source": [ "dependencies = ['ds9']\n", "\n", "def test_dependency(dep):\n", " try:\n", " subprocess.Popen(dep, stderr=subprocess.PIPE).stderr.read()\n", " print(\"%s is installed properly. OK\" % dep)\n", " return 1\n", " except ImportError:\n", " print(\"===%s IS NOT YET INSTALLED PROPERLY===\" % dep)\n", " return 0\n", " \n", "i = 0\n", "for dep in dependencies:\n", " i += test_dependency(dep)\n", "print(\"\\n%i out of %i dependencies installed properly.\" % (i, len(dependencies)))\n", "if i != len(dependencies):\n", " print(\"Please correctly install these programs before continuing.\")\n", "else:\n", " print(\"You are ready to continue.\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Scipy bug check" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Nuts! Your version of scipy does not do proper 1D spline fitting.\n" ] } ], "source": [ "# test if spline fitting works\n", "x = np.array([0, 1, 2, 2, 3, 4])\n", "y = np.array([0, 1, 2, 2, 3, 4])\n", "try:\n", " spl = LSQUnivariateSpline(x, y, []) # new scipy crashes here because of duplicate x=2 values\n", " SPLINE_WORKS = True\n", " print('Congratulations! Your version of scipy has 1D spline fitting')\n", "except ValueError:\n", " SPLINE_WORKS = False\n", " print('Nuts! Your version of scipy does not do proper 1D spline fitting.')" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "# *** HACK! -- HACK! -- HACK! ***\n", "if SPLINE_WORKS is False:\n", " from scipy.interpolate import LSQUnivariateSpline as real_LSQUnivariateSpline\n", " \n", " # re-define LSQUnivariateSpline\n", " def LSQUnivariateSpline(x, y, t, weights=None):\n", " # x must be **strictly** increasing\n", " # so remove (average over) duplicates\n", " uniqx, origi, counts = np.unique(x, return_inverse=True, return_counts=True)\n", "\n", " if weights is not None:\n", " newy = np.bincount(origi, weights=y*weights) / np.bincount(origi, weights=weights)\n", " newweights = np.sqrt( 1 / np.bincount(origi, weights=1/weights**2) )\n", " else:\n", " newy = np.bincount(origi, weights=y/counts[origi])\n", " newweights = None\n", " return real_LSQUnivariateSpline(uniqx, newy, t, newweights) \n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Load the 2-D science Frame" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "# load the 2D science image data\n", "image = fits.getdata(os.path.join(data_dir,'spec_sci.fits'))" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "# determine the image pixel distribution (used for displaying below)\n", "sample = sigma_clip(image)\n", "vmin = sample.mean() - 1 * sample.std()\n", "vmax = sample.mean() + 3 * sample.std()" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# show the image using matplotlib's `imshow` function\n", "plt.figure(figsize=(15, 3))\n", "plt.imshow(image, origin='lower', cmap='gray', aspect='auto', vmin=vmin, vmax=vmax)\n", "plt.xlabel('Column Number')\n", "plt.ylabel('Row Number');" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# optional: display image in DS9\n", "ds9.set('frame 1')\n", "ds9.set_np2arr(image)\n", "ds9.set('scale zscale');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Take a look at the science image above. The supplied `spec_sci.fits` image is the red channel of a Keck/LRIS spectrum taken in 2014. The image has already been process to remove bias, and the image has been trimmed and rotated (what we will call \"rows\" are actually columns on the CCD). This science image is actually a combination of two individual exposures that has been filtered to remove **most** (but not quite all) cosmic ray events. \n", "\n", "Notice the vertical bands of light. These are the sky lines. The spectrum runs from about 5000 Angstroms on the left to about 10000 Angstroms on the right (you will determine the exact range below!). Notice that there is a significantly higher density of sky lines in the near infrared. Many of these lines in the infrared are caused by different molecules in Earth's atmosphere. In particular O-H bonds are the primary culprit for sky lines beyond ~750 angstroms. Later we'll have a closer look at the sky lines to examine the wavelength solution for the spectra. \n", "\n", "Notice the two horizontal bands of light. The lower band is the target (a small galaxy), and the upper band is a second object in the slit. If you look closely at the lower band (the target trace), you will see a number of emission lines. You will use these to determine the target redshift." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Set up some variables for later use" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "How big is the image? What are the pixel coordinates near the center of the image? Create 1-D and 2-D arrays with indices for each axis." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "# get the a pixel coordinate near the image center\n", "ny, nx = image.shape\n", "cy, cx = ny//2, nx//2\n", "\n", "# create 1d arays of the possible x and y values\n", "xs = np.arange(nx)\n", "ys = np.arange(ny)\n", "\n", "# pixel coordinates for each pixel\n", "yvals, xvals = np.indices(image.shape)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Find the rows dominated by sky light (exclude rows with object light, bad rows)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can use the sky lines to map out lines of constant wavelength. To do this it is best to exclude portions of the image that are affected by light from the target trace, etc. \n", "\n", "To find the rows affected by the object traces, we can just marginalize over all the columns to determine the average profile and then note where this is significantly above the background average." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# compute the row averages and normalize so that the background is near 0 and the peaks are near 1\n", "rowaverage = image.mean(axis=1)\n", "rowaverage -= np.median(rowaverage)\n", "rowaverage /= rowaverage.max()\n", "\n", "plt.plot(ys, rowaverage)\n", "plt.xlabel('Row Number (y-coordinate)'), plt.ylabel('Normalized Row Average')\n", "plt.grid();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Notes\n", "* the plot above should show peaks in the rows containing object light\n", "* there are some bad rows near the edges of the image\n", "* other rows also show significant deviations from the median and should not be used" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Based on the plot above, record the row coordinates (`ys`) that are brighter that some threshold, say 20% of the profile peak. To be conservative, also include the 5 rows above and 5 rows below.\n", "\n", "Then create a 2D boolean mask that is `True` for pixels that are dominated by sky light and `False` for other pixels." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "# find the rows with object light\n", "objrows = ys[rowaverage>0.1]\n", "\n", "# add some margin to object rows\n", "ngrow = 5 # number of rows to include above and below object rows\n", "newobjrows = []\n", "for row in objrows:\n", " newobjrows.extend([row + i for i in np.arange(-ngrow, ngrow + 1)])\n", "objrows = np.unique(newobjrows)\n", "\n", "# mask to mark sky rows\n", "skymask = np.ones(image.shape, dtype=bool)\n", "skymask[objrows, :] = False\n", "\n", "# also exclude bad rows\n", "badrows = ys[rowaverage < -0.05]\n", "skymask[badrows, :] = False\n", "\n", "# rows with mostly sky background light\n", "skyrows = ys[skymask.mean(axis=1) == 1]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With the object traces and bad rows masked, we can also check for cosmic rays and mask these as well. To do this we calculate the median value and standard deviation along each column and then reject pixels that are more than a certain number (typically 3-5) of standard deviations away from the median. These deviant pixels are then noted on the `skymask`." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "# median (unmasked) sky spectrum and standard deviation\n", "medspec = np.median(image[skyrows],axis=0)\n", "stdspec = np.std(image[skyrows],axis=0)\n", "\n", "# exclude deviant pixels from the skymask\n", "pull = (image - medspec) / stdspec\n", "w = pull > 5\n", "skymask[w] = False" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# show the mask\n", "plt.figure(figsize=(15, 3))\n", "plt.imshow(skymask, origin='lower', aspect='auto');" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "# optional: display the mask in DS9\n", "mask = np.zeros(image.shape)\n", "mask[skymask] = 1\n", "\n", "ds9.set('frame 1')\n", "ds9.set_np2arr(image)\n", "ds9.set('frame 2')\n", "ds9.set_np2arr(mask)\n", "ds9.set('lock frame image');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Let's look at a small section of image up close" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "# cut out a small image \"stamp\" near the center of the frame\n", "row = cy\n", "col = cx\n", "hwidth = 50\n", "stamp = image[:, col - hwidth : col + hwidth]\n", "ys_stamp = yvals[:, col - hwidth : col + hwidth]\n", "xs_stamp = xvals[:, col - hwidth : col + hwidth]" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# show the image stamp\n", "plt.figure(figsize=(15, 5))\n", "extent = (xs_stamp.min(), xs_stamp.max(), ys_stamp.min(), ys_stamp.max())\n", "plt.imshow(stamp, origin='lower', cmap='gray', aspect='auto', vmin=vmin, vmax=vmax, extent=extent)\n", "plt.xlabel('Column Number')\n", "plt.ylabel('Row Number');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Recall the vertical bands are sky lines that mark lines of constant wavelength. Notice that these do not run perfectly parallel to the columns. Rather, the `x` coordinate for a given wavelength will be a function of the row number. \n", "\n", "As the plot should demonstrate, the lines of constant wavelength are slightly tilted with respect to the columns and there is also slight curvature. Thus we can approximate that the `x` coordinate for a given wavelength will be a quadratic function of the row number." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Note\n", "Because wavelength varies along a given column, if we simply plot the counts in each pixel against each pixel's column number then we get a range of values in each column:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# plot stamp values against column numbers\n", "plt.plot(xs_stamp.ravel(), stamp.ravel(), 'r.');\n", "plt.xlabel('Column Number'), plt.ylabel('Counts');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Map out lines of constant wavelength (determine the wavelength for each pixel)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can model the change in wavelength coordinate in arbitrary units, `dl`, from the wavelength at some reference pixel in terms of the offsets, `dx` and `dy` from the reference pixel.\n", "\n", "We can then write down a function that takes our model parameters (the slope and curvature of the lines of constant wavelength with respect to the columns), the offsets in the x and y coordinates, `dxs` and `dys`, respectively, and returns the wavelength offset from the reference pixel (i.e. `dx = dy = 0`)." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "def get_dl_model(params, dxs, dys):\n", " return dxs + params[0] * dys + params[1] * dys ** 2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To see how this works, make a guess for the slope and curvature parameters and try plotting the wavelength offsets from our reference pixel (the one at `x=col` and `y=row`)." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# pixel offsets from the refernece pixel\n", "dxs = xs_stamp - col\n", "dys = ys_stamp - row\n", "\n", "# parameter guess\n", "#guess = (-0.01, 0) #initial guess\n", "guess = (-1.30240870e-02, -2.58517988e-05) #determined from best fit in the code below\n", "\n", "# get the wavelength offsets and plot vs. counts\n", "dls = get_dl_model(guess, dxs, dys)\n", "plt.plot(dls.ravel(), stamp.ravel(), 'r.')\n", "plt.xlabel('Wavelength Offset')\n", "plt.ylabel('Counts');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You should notice that for the right choice of model parameters, the vertical scatter is significantly reduced. This demonstrates one way to decide on the best model parameters: find the model parameters that minimize the vertical scatter. But how do we measure this scatter?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Fit a spline to the counts spectrum above" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Given the data above (the wavelength offsets, `dls`, and the stamp count values) we can fit a spline to the resulting curve above and then subtract this off from the curve and measure the scatter. Notice that for every column we get a lot of samples (`ny` to be precise). Thus we can set the spline knots every pixel (or even closer).\n", "\n", "We can define a function that will return the best fit spline object (in the least-squares sense) for our data." ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "def get_profile_spl(dls, stamp):\n", " # need to sort the data (and weights) so that the x values are increasing\n", " x, y = dls.ravel(), stamp.ravel()\n", " weights = np.sqrt(np.abs(y)) # not technically optimal for coadded data, but ok\n", " wsort = x.argsort()\n", " x, y, weights = x[wsort], y[wsort], weights[wsort]\n", "\n", " # set locations for spline knots\n", " t = np.linspace(x.min() + 1, x.max() - 1, np.int(x.max() - x.min()))\n", " spl = LSQUnivariateSpline(x, y, t, weights)\n", " return x, y, spl" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Lets see how good this looks." ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# fit a spline to the data and plot\n", "x, y, spl = get_profile_spl(dls, stamp)\n", "\n", "fig, axarr = plt.subplots(2, sharex=True)\n", "axarr[0].plot(x, y, 'r.')\n", "axarr[0].plot(x, spl(x))\n", "axarr[1].plot(x, y - spl(x), 'r.')\n", "plt.ylim(-200, 200)\n", "plt.xlabel('Wavelength Offset');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Notice\n", " * the counts may vary along the slit (both because of real spatial variations and, more importantly, we have not accounted for efficiency variations along the slit), so there may be some biased scatter\n", " * the parameter guess above may be imperfect resulting in systematic residuals (we can minimize these below)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Minimize residuals from the spline model to determine the best tilt/curvature model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We need a metric to determine how well the spline fits the data. We could take a simple sum of the squares of the residuals or weight these by the expected poison noise to determine a $\\chi^2$ value." ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "def check_dl_model(params, dxs, dys, stamp):\n", " dls = get_dl_model(params, dxs, dys)\n", " x, y, spl = get_profile_spl(dls, stamp)\n", " chisq = np.sum((stamp - spl(dls)) ** 2 / np.sqrt(np.abs(stamp)))\n", " return chisq / (stamp.size - len(params))" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "50.1745737535097" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# see how good our guess is\n", "check_dl_model(guess, dxs, dys, stamp)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we just need to change the model parameters to minimize the residuals. We can use `fmin` for this." ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "the hacked version of LSQUnivariateSpline is VERY slow...this cell might take a minute or more to run!\n", "Optimization terminated successfully.\n", " Current function value: 50.174547\n", " Iterations: 15\n", " Function evaluations: 29\n", "best model parameters are [-1.30220717e-02 -2.58801394e-05]\n" ] } ], "source": [ "if SPLINE_WORKS is False:\n", " print(\"the hacked version of LSQUnivariateSpline is VERY slow...this cell might take a minute or more to run!\")\n", "\n", "# get the best model parameters for this stamp\n", "params = fmin(check_dl_model, guess, args=(dxs, dys, stamp))\n", "print(\"best model parameters are\", params)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can plug in these parameters for your `guess` above and re-run the cells to check the residuals if you want." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Find the lines of constant wavelength at other parts of the 2-D image" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The tilt/curvature between lines of constant wavelength and the columns can vary across the spectrum. So far we have only determined it for a small portion of the image. Now we can apply the same techniques to map out the relative wavelengths shifts across the image.\n", "\n", "To do this, we need to pick a width (number of columns) within which we can expect to get enough sky lines to do the mapping. Considering the left side (shorter wavelength or \"blue\" portion) of the spectrum, we can set the width at about 400 columns. (Note it is possible to vary the width across the image to take advantage of the extra wavelength information in the near-IR due to the higher density of sky lines, but this is not required)." ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ 200, 600, 1000, 1400, 1800, 2200, 2600, 3000, 3400, 3800])" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# define the column centers for the stamps\n", "hwidth = 200 # width = 2 * hwidth + 1\n", "cols = np.arange(hwidth, nx, 2 * hwidth)\n", "cols" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As above, map out the wavelength shits along columns, one stamp (image section) at a time. It is best to use the sky mask we defined above and possibly some outlier rejection to fend off deviant pixels.\n", "\n", "Notice that the code cell below will keep track of the wavelength offsets for all columns, but really we only need the central columns defined above.\n", "\n", "#### Note: the code below might take some time to run. If you are using the hacked version of LSQUnivariateSpline, it may take a few minutes. If it takes longer to run, you can skip this cell (or interupt if you tried to evaulate it) and load the solution below" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "col = 200\n", "Optimization terminated successfully.\n", " Current function value: 12.396953\n", " Iterations: 29\n", " Function evaluations: 55\n", "Optimization terminated successfully.\n", " Current function value: 12.883629\n", " Iterations: 9\n", " Function evaluations: 16\n", "col = 600\n", "Optimization terminated successfully.\n", " Current function value: 8.892566\n", " Iterations: 24\n", " Function evaluations: 48\n", "Optimization terminated successfully.\n", " Current function value: 8.879743\n", " Iterations: 8\n", " Function evaluations: 17\n", "col = 1000\n", "Optimization terminated successfully.\n", " Current function value: 8.834433\n", " Iterations: 26\n", " Function evaluations: 47\n", "Optimization terminated successfully.\n", " Current function value: 8.815581\n", " Iterations: 8\n", " Function evaluations: 17\n", "col = 1400\n", "Optimization terminated successfully.\n", " Current function value: 9.673635\n", " Iterations: 21\n", " Function evaluations: 38\n", "Optimization terminated successfully.\n", " Current function value: 9.670311\n", " Iterations: 10\n", " Function evaluations: 20\n", "col = 1800\n", "Optimization terminated successfully.\n", " Current function value: 13.040033\n", " Iterations: 18\n", " Function evaluations: 35\n", "Optimization terminated successfully.\n", " Current function value: 13.037079\n", " Iterations: 14\n", " Function evaluations: 26\n", "col = 2200\n", "Optimization terminated successfully.\n", " Current function value: 18.340481\n", " Iterations: 16\n", " Function evaluations: 32\n", "Optimization terminated successfully.\n", " Current function value: 16.350093\n", " Iterations: 16\n", " Function evaluations: 31\n", "col = 2600\n", "Optimization terminated successfully.\n", " Current function value: 20.606349\n", " Iterations: 25\n", " Function evaluations: 47\n", "Optimization terminated successfully.\n", " Current function value: 20.071954\n", " Iterations: 14\n", " Function evaluations: 29\n", "col = 3000\n", "Optimization terminated successfully.\n", " Current function value: 28.946363\n", " Iterations: 36\n", " Function evaluations: 69\n", "Optimization terminated successfully.\n", " Current function value: 25.754483\n", " Iterations: 15\n", " Function evaluations: 29\n", "col = 3400\n", "Optimization terminated successfully.\n", " Current function value: 35.361876\n", " Iterations: 35\n", " Function evaluations: 66\n", "Optimization terminated successfully.\n", " Current function value: 28.715321\n", " Iterations: 18\n", " Function evaluations: 36\n", "col = 3800\n", "Optimization terminated successfully.\n", " Current function value: 32.913282\n", " Iterations: 40\n", " Function evaluations: 77\n", "Optimization terminated successfully.\n", " Current function value: 27.734605\n", " Iterations: 17\n", " Function evaluations: 34\n" ] } ], "source": [ "# reference wavelength offsets to the center row\n", "row = cy\n", "\n", "# define a 2D array to hold the wavelength offsets for each pixel\n", "lambdas = np.zeros(image.shape) \n", "\n", "# loop over each central column\n", "for col in cols:\n", " print('col = ', col)\n", " \n", " # slice the data\n", " inds = np.s_[:, col - hwidth : col + hwidth]\n", " stamp = image[inds]\n", " mask = skymask[inds]\n", " dys = yvals[inds] - row\n", " dxs = xvals[inds] - col\n", "\n", " # initial fit\n", " params = fmin(check_dl_model, guess, args=(dxs[mask], dys[mask], stamp[mask]))\n", " \n", " # check for outliers\n", " dls = get_dl_model(guess, dxs, dys)\n", " x, y, spl = get_profile_spl(dls, stamp)\n", " model = spl(dls)\n", " pull = (stamp - model) / np.sqrt(np.abs(model))\n", " w = (pull < 5) & mask\n", " params2 = fmin(check_dl_model, params, args=(dxs[w], dys[w], stamp[w]))\n", "\n", " # record\n", " lambdas[inds] = get_dl_model(params2, dxs, dys) + col\n" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [], "source": [ "#this is the solution to load if the cell directly above this takes too long to run\n", "#Don't run this cell if the cell above works!\n", "if SPLINE_WORKS is False:\n", " lambdas = pickle.load(open(os.path.join(data_dir,'lambdas.dat'), 'rb'))\n", "\n", "# **********************\n", "# save the lambdas\n", "#pickle.dump(lambdas, open('lambdas.dat', 'wb'))\n", "# **********************" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Look at a few rows and see how the wavelength offsets vary with column number. We can fit a low-order polynomial to these." ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# just plot offsets for a few of the rows across the image\n", "order = 3\n", "for y in range(10, ny, 50):\n", " p = plt.plot(cols, lambdas[y, cols] - xs[cols], 'o')\n", " c = np.polyfit(cols, lambdas[y, cols] - xs[cols], order)\n", " plt.plot(xs, np.polyval(c, xs), c=p[0].get_color(), label='row {}'.format(y))\n", "plt.legend()\n", "plt.xlabel('Column Number')\n", "plt.ylabel('Wavelength Offset from Middle Row');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You may notice that the tilt (the wavelength difference in a given column between the first row and the last row) increases as we move to larger column numbers. Make sure the order is large enough to follow the trends without over fitting the data (i.e. there should not be noticeable wiggles between data points).\n", "\n", "Now we can fit for every row. We could do a 2D fit to all the data at once, but simply fitting row by row works here." ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [], "source": [ "# get the lambda values for the entire image (fit)\n", "lambdafit = np.zeros(image.shape)\n", "for y in range(ny):\n", " c = np.polyfit(cols, lambdas[y, cols] - xs[cols], order)\n", " lambdafit[y, :] = np.polyval(c, xs) + xs" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now for the fun part! We have wavelength values relative to the central row (in arbitrary units) for every pixel on the image, which means we can do some cool tricks." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Model the 2D sky" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We want to measure the light from our target, not the night sky, so lets make those sky lines disappear! We can do a 2-D spline fit to the sky background pixels to create a sky model. As above, we have about `ny` measurements in each wavelength bin, so we can set the knot points along the wavelength direction about every pixel (or even less!). We do not expect strong variations in the sky brightness along the slit, so we can simply fit a low order polynomial along this direction (which we will approximate for now using the y-coordinates)." ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [], "source": [ "# function to fit a 2D spline\n", "def fit_sky(xvals, yvals, image, ky=1, dx=0.5):\n", " # select knot points in the x (wavelength) direction\n", " tx = np.arange(xvals.min() + 2, xvals.max() - 2, dx)\n", " \n", " # select knot points in the y (spatial) direction\n", " ty = [] # if there are no knots, the fit will be a poly nomial of degree ky\n", " \n", " # fit the 2D spline\n", " return LSQBivariateSpline(xvals.ravel(), yvals.ravel(), image.ravel(), tx, ty, ky=ky)" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [], "source": [ "# use the (unmasked) sky background pixels and fit the 2D spline\n", "skyfit = fit_sky(lambdafit[skymask], yvals[skymask], image[skymask])\n", "\n", "# evaluate the 2D sky at every pixel\n", "sky = skyfit.ev(lambdafit, yvals)" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [], "source": [ "# plot the image, sky model, and differece (and/or display in DS9)\n", "ds9.set('frame 1')\n", "ds9.set_np2arr(image)\n", "ds9.set('frame 2')\n", "ds9.set_np2arr(sky)\n", "ds9.set('frame 3')\n", "ds9.set_np2arr(image - sky);" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#if ds9 isn't working show the data and fits using matplotlib's `imshow` function\n", "plt.figure(figsize=(15, 3))\n", "plt.title('Frame 1: Image data')\n", "plt.imshow(image, origin='lower', cmap='gray', aspect='auto', vmin=vmin, vmax=vmax)\n", "plt.xlabel('Column Number')\n", "plt.ylabel('Row Number');\n", "\n", "plt.figure(figsize=(15, 3))\n", "plt.title('Frame 2: Sky fit')\n", "plt.imshow(sky, origin='lower', cmap='gray', aspect='auto', vmin=vmin, vmax=vmax)\n", "plt.xlabel('Column Number')\n", "plt.ylabel('Row Number');\n", "\n", "plt.figure(figsize=(15, 3))\n", "plt.title('Frame 3: Image - Sky')\n", "plt.imshow(image-sky, origin='lower', cmap='gray', aspect='auto', vmin=vmin, vmax=vmax)\n", "plt.xlabel('Column Number')\n", "plt.ylabel('Row Number');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice how well the object trace stands out now. Analogous to the sky lines, the object trace is slightly tilted with respect to the rows. Thus to extract our spectrum we need to map out the y-values where the trace is centered as a function of column number." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Locate object trace" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are actually two object traces in our data, so let's simultaneously find the centers of each of these. The object that makes the lower trace is actually a galaxy, but we can approximate its distribution of light along the slit with a Gaussian function, and we can do the same for the other object. Thus our profile model will be the sum of two Gaussians. " ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [], "source": [ "def get_profile_model(params, ys):\n", " a1, cy1, sigma1, a2, cy2, sigma2 = params\n", " \n", " p1 = np.exp(-(ys - cy1)**2 / 2 / sigma1**2) \n", " p1 /= p1.max()\n", " \n", " p2 = np.exp(-(ys - cy2)**2 / 2 / sigma2**2) \n", " p2 /= p2.max()\n", "\n", " return a1 * p1 + a2 * p2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now that we have our model, we can make a guess at the parameters and check by eye how well these represent the data. Change the guess until the model is a reasonably close match to the data (this need not be perfect)." ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# get the median for each row\n", "profile = np.median(image - sky, axis=1)\n", "\n", "# starting guess for the profile model\n", "guess = (100, 35, 4, 100, 155, 4) \n", "model = get_profile_model(guess, ys)\n", "\n", "plt.plot(ys, profile)\n", "plt.plot(ys, model);\n", "plt.xlabel('Row Number')\n", "plt.ylabel('Median Row Counts');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Of course, we can improve the model by minimizing the model residuals (or $\\chi^2$/dof)." ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [], "source": [ "def get_profile_chisq(params, ys, profile):\n", " model = get_profile_model(params, ys)\n", " return np.sum( (profile - model)**2 / np.sqrt(np.abs(profile)) ) / (profile.size - len(params))" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Optimization terminated successfully.\n", " Current function value: 2.641861\n", " Iterations: 252\n", " Function evaluations: 413\n", "best fit parameters are [ 79.53235032 36.2146928 3.59728199 89.89762177 154.9507752\n", " 2.68703519]\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# fit for the best model\n", "params = fmin(get_profile_chisq, guess, args=(ys, profile))\n", "print(\"best fit parameters are\", params)\n", "\n", "model = get_profile_model(params, ys)\n", "plt.plot(ys, profile)\n", "plt.plot(ys, model)\n", "plt.xlabel('Row Number')\n", "plt.ylabel('Median Row Counts')\n", "plt.grid();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We could fit a more complex model that accounts for the vertical shift of the traces with column numbers, but here we simply divide the image up into sections by wavelength and find the Gaussian centroids in each of these." ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Optimization terminated successfully.\n", " Current function value: 0.547404\n", " Iterations: 753\n", " Function evaluations: 1190\n", "Optimization terminated successfully.\n", " Current function value: 1.728919\n", " Iterations: 438\n", " Function evaluations: 698\n", "Optimization terminated successfully.\n", " Current function value: 1.252050\n", " Iterations: 673\n", " Function evaluations: 1057\n", "Optimization terminated successfully.\n", " Current function value: 1.792993\n", " Iterations: 551\n", " Function evaluations: 840\n", "Optimization terminated successfully.\n", " Current function value: 3.333935\n", " Iterations: 375\n", " Function evaluations: 597\n", "Optimization terminated successfully.\n", " Current function value: 2.586154\n", " Iterations: 364\n", " Function evaluations: 576\n", "Optimization terminated successfully.\n", " Current function value: 2.503008\n", " Iterations: 462\n", " Function evaluations: 739\n", "Optimization terminated successfully.\n", " Current function value: 2.855621\n", " Iterations: 355\n", " Function evaluations: 554\n", "Optimization terminated successfully.\n", " Current function value: 3.582303\n", " Iterations: 421\n", " Function evaluations: 664\n", "Optimization terminated successfully.\n", " Current function value: 3.410769\n", " Iterations: 318\n", " Function evaluations: 511\n", "Optimization terminated successfully.\n", " Current function value: 3.278124\n", " Iterations: 306\n", " Function evaluations: 495\n", "Optimization terminated successfully.\n", " Current function value: 3.040629\n", " Iterations: 326\n", " Function evaluations: 512\n", "Optimization terminated successfully.\n", " Current function value: 3.686152\n", " Iterations: 319\n", " Function evaluations: 508\n", "Optimization terminated successfully.\n", " Current function value: 4.724491\n", " Iterations: 353\n", " Function evaluations: 560\n", "Optimization terminated successfully.\n", " Current function value: 5.714022\n", " Iterations: 326\n", " Function evaluations: 529\n", "Optimization terminated successfully.\n", " Current function value: 4.388493\n", " Iterations: 351\n", " Function evaluations: 550\n", "Warning: Maximum number of function evaluations has been exceeded.\n", "Optimization terminated successfully.\n", " Current function value: 7.492509\n", " Iterations: 378\n", " Function evaluations: 599\n", "Optimization terminated successfully.\n", " Current function value: 5.473357\n", " Iterations: 344\n", " Function evaluations: 547\n", "Optimization terminated successfully.\n", " Current function value: 5.137255\n", " Iterations: 306\n", " Function evaluations: 487\n", "Optimization terminated successfully.\n", " Current function value: 9.970730\n", " Iterations: 302\n", " Function evaluations: 496\n", "Optimization terminated successfully.\n", " Current function value: 10.779289\n", " Iterations: 318\n", " Function evaluations: 517\n", "Optimization terminated successfully.\n", " Current function value: 8.045942\n", " Iterations: 319\n", " Function evaluations: 520\n", "Optimization terminated successfully.\n", " Current function value: 4.582466\n", " Iterations: 349\n", " Function evaluations: 561\n", "Optimization terminated successfully.\n", " Current function value: 7.180269\n", " Iterations: 329\n", " Function evaluations: 536\n", "Optimization terminated successfully.\n", " Current function value: 13.162790\n", " Iterations: 377\n", " Function evaluations: 600\n", "Optimization terminated successfully.\n", " Current function value: 7.691845\n", " Iterations: 406\n", " Function evaluations: 648\n", "Optimization terminated successfully.\n", " Current function value: 14.392831\n", " Iterations: 292\n", " Function evaluations: 482\n", "Optimization terminated successfully.\n", " Current function value: 11.482305\n", " Iterations: 307\n", " Function evaluations: 517\n", "Optimization terminated successfully.\n", " Current function value: 18.800532\n", " Iterations: 423\n", " Function evaluations: 668\n", "Optimization terminated successfully.\n", " Current function value: 13.667206\n", " Iterations: 377\n", " Function evaluations: 592\n", "Optimization terminated successfully.\n", " Current function value: 6.728043\n", " Iterations: 499\n", " Function evaluations: 792\n", "Optimization terminated successfully.\n", " Current function value: 5.137688\n", " Iterations: 385\n", " Function evaluations: 620\n", "Optimization terminated successfully.\n", " Current function value: 25.291638\n", " Iterations: 430\n", " Function evaluations: 666\n", "Optimization terminated successfully.\n", " Current function value: 22.138439\n", " Iterations: 359\n", " Function evaluations: 572\n", "Optimization terminated successfully.\n", " Current function value: 11.612628\n", " Iterations: 449\n", " Function evaluations: 703\n", "Optimization terminated successfully.\n", " Current function value: 10.380351\n", " Iterations: 366\n", " Function evaluations: 600\n", "Optimization terminated successfully.\n", " Current function value: 10.023124\n", " Iterations: 501\n", " Function evaluations: 793\n", "Optimization terminated successfully.\n", " Current function value: 15.169008\n", " Iterations: 553\n", " Function evaluations: 856\n", "Optimization terminated successfully.\n", " Current function value: 13.256002\n", " Iterations: 458\n", " Function evaluations: 733\n" ] } ], "source": [ "# fit the profile centered at these columns\n", "hwidth = 50\n", "cols = np.arange(hwidth, nx + 1, 2 * hwidth)\n", "\n", "ycenter = np.zeros( (len(cols), 2) )\n", "for icol, col in enumerate(cols):\n", " stamp = (image - sky)[:, col - hwidth : col + hwidth]\n", " profile = np.mean(stamp, axis=1)\n", " params = fmin(get_profile_chisq, guess, args=(ys, profile))\n", " ycenter[icol, :] = params[[1, 4]]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Lets see how the y-center of our target's trace varies with column number. We can fit a polynomial to the trend and use this to estimate the y-center at any column." ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# fit the relation with a polynomial\n", "ind = 0 # which trace 0 or 1?\n", "t_order = 3\n", "trace_c = np.polyfit(cols, ycenter[:, ind], t_order)\n", "fig, axarr = plt.subplots(2, sharex=True)\n", "axarr[0].plot(cols, ycenter[:, ind], 'ro')\n", "axarr[0].plot(xs, np.polyval(trace_c, xs), 'r')\n", "axarr[0].axes.set_ylabel('y-coordinate')\n", "axarr[1].plot(cols, ycenter[:, ind] - np.polyval(trace_c, cols), 'ro')\n", "axarr[1].axes.set_ylim(-0.5, 0.5)\n", "axarr[1].axes.set_ylabel('Fit Residual (pixels)')\n", "plt.xlabel('Column Number');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The typical residuals should be a small fraction of a pixel. \n", "\n", "**Note** we are fitting a Gaussian model to a non-Gaussian (galaxy) profile, so the center value may be systematically offset.\n", "\n", "Now we can get the pixel offsets from the object trace for every pixel in the image. To properly account for non-linearities along the trace (i.e. the pixel scale may be 0.1 arcsec per y-pixel on the blue side but 0.12 arcsec per pixel on the red side) we could use the second object trace and the relative wavelength information, but here we will simply assume a simple linear relation." ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [], "source": [ "# position offsets from the object trace (defined to be at slitpos = 0)\n", "slitpos = yvals - np.polyval(trace_c, yvals)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Spatial profile of the target" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next, determine the spatial profile of the target and stretch this over the whole 2D image to make a weight map for later use.\n", "\n", "The brightness of the target will vary as a function of wavelength, so to determine the profile we can normalize the counts in each wavelength bin using the counts at the trace center (or our approximation there of)." ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [], "source": [ "# subtract the sky\n", "nosky = image - sky\n", "\n", "# normalize to the pixel brightness at the trace center\n", "yinds = (np.round(np.polyval(trace_c, xs))).astype(int)\n", "normed = nosky / nosky[yinds,xs]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Fit a spline to the normalized profile" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [], "source": [ "# get 1D arrays with the positions along the slit and the normalized counts\n", "pos = slitpos.flatten()\n", "counts = normed.flatten()\n", "\n", "# sort by slit position\n", "sort_inds = pos.argsort()\n", "pos, counts = pos[sort_inds], counts[sort_inds]\n", "\n", "# fit a spline to model the spatial profile\n", "t = np.linspace(pos.min() + 2, pos.max() - 2, ny // 2) # spline knot points\n", "profile_spl = LSQUnivariateSpline(pos, counts, t)\n", "\n", "# remove outliers and re-fit\n", "diff = counts - profile_spl(pos)\n", "sample = sigma_clip(diff)\n", "w = ((np.abs(diff) / sample.std()) < 5) & np.isfinite(diff)\n", "profile_spl = LSQUnivariateSpline(pos[w], counts[w], t)" ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# plot the target profile\n", "#plt.plot(pos, counts, 'r.')\n", "plt.plot(pos, profile_spl(pos) )\n", "plt.xlim(-40, 50)\n", "#plt.ylim(-2, 4)\n", "plt.grid();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Calculate the profile for every column to make a 2D profile image." ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [], "source": [ "# create the profile image\n", "profile_image = profile_spl(slitpos)\n", "\n", "# de-weight negative values in provile_image\n", "profile_image[profile_image < 0] = 0" ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [], "source": [ "# display the result\n", "ds9.set('frame 4')\n", "ds9.set_np2arr(profile_image);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Extract the target spectrum (basic version)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We have located the target trace, the sky background has been removed, so all that is left to do is sum up the counts in each wavelength bin in some aperture. We can pick any size wavelength bin we like, but at this phase it is common to use the native pixel scale to set the binning. If the target extends over many pixels in the spatial direction or the tilt/curvature of the lines of constant wavelength is large, you may have to take into account the changes in wavelength with row number. But for the supplied data the change in wavelength is not significant along the short extraction window, so we can simply sum along columns." ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# select which rows to sum\n", "w = (slitpos > -10) & (slitpos < 10)\n", "ymin, ymax = yvals[w].min(), yvals[w].max()\n", "\n", "# calculate the sum\n", "spec_basic = nosky[ymin:ymax,:].sum(axis=0)\n", "\n", "# sky background\n", "skybg_basic = sky[ymin:ymax,:].sum(axis=0)\n", "\n", "# plot the extracted spectrum\n", "plt.plot(xs, spec_basic);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Optimal extraction" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can weight the extraction using the spatial profile we calculated above to limit the noise from pixels that are dominated by the sky background. This proces is analogous to PSF-fitting in 2D image data, which is an improvement over an aperture extraction which essentially assume a 'top-hat' weighing scheme. For this exersize we will simply calculate a weighted average in each wavelength bin rather than fitting a model to the data. Using our basic extraction above we can determine the bias between the sum and the weighted average and then use this to re-scale the weighted average, because ultimately we want the sum of the counts from the target, not the average in each wavelength bin." ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 50, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# calculate the weighted average (for each column)\n", "spec_opt = (nosky*profile_image)[ymin:ymax,:].sum(axis=0)/profile_image.sum(axis=0)\n", "\n", "# calculate the bias factor needed to scale the average to a sum\n", "bias_factor = np.median(spec_basic / spec_opt)\n", "spec_opt *= bias_factor\n", "\n", "# same for the sky background\n", "skybg_opt = (sky*profile_image)[ymin:ymax,:].sum(axis=0)/profile_image.sum(axis=0)\n", "bias_factor_sky = np.median(skybg_basic / skybg_opt)\n", "skybg_opt *= bias_factor_sky\n", "\n", "# plot the extracted spectrum\n", "plt.plot(xs, spec_basic, label='basic extraction')\n", "plt.plot(xs, spec_opt, label='optimal extraction')\n", "plt.legend()\n", "#plt.ylim(0, 2000);\n", "#plt.yscale('log')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If you look closely you should see that the basic extraction is noisier than the optimal." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Wavelength solution" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Up to now we have been working with relative wavelengths. Now we will use the emission lines to calibrate these into absolute wavelengths. \n", "\n", "There are several ways to do this. One method is to match the sky lines to a published atlas to determine the identity of several lines and then use the known wavelengths of these to determine the relative to absolute mapping function.\n", "\n", "Instead of working with individual lines, we can instead find a mapping that matches our extracted sky spectrum to a reference spectrum with a calibrated wavelength axis. Ideally this reference should be matched in spectral resolution (and spectral response) to the data at hand. This module includes such a reference spectrum, which is a version of the [UVES high-resolution night sky spectrum](https://www.eso.org/observing/dfo/quality/UVES/pipeline/sky_spectrum.html) convolved to roughly match the resoultion of the Keck/LRIS data." ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [], "source": [ "# re-scale the sky spectrum so that the max counts are around 1 for convience\n", "bgspec = skybg_opt / skybg_opt.max()" ] }, { "cell_type": "code", "execution_count": 52, "metadata": {}, "outputs": [], "source": [ "# load the reference sky spectrum (conviently convolved to approximatley the spectral resulution of our data)\n", "skyref = np.genfromtxt(os.path.join(data_dir,'UVES_nightsky_lowres.dat'), names='wav, flux')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot the reference and extracted sky spectra on two separate plots and adjust the wavelength range of the reference spectrum until the two roughly match. This will help you see the mapping between column numbers and wavelengths." ] }, { "cell_type": "code", "execution_count": 53, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# compare the reference spectrum and the extracted sky spectrum\n", "fig, axarr = plt.subplots(2)\n", "axarr[0].plot(skyref['wav'], skyref['flux'])\n", "axarr[0].axes.set_ylabel('Flux Density ($10^{16} f_{\\lambda}$)')\n", "axarr[0].axes.set_xlabel('Wavelength ($\\AA$)')\n", "\n", "# adjust the wavlength range to approx. match the extracted sky spectrum range\n", "axarr[0].axes.set_xlim(5000,10500)\n", "\n", "# plot the extracted sky spectrum \n", "axarr[1].plot(xs, bgspec)\n", "axarr[1].axes.set_ylabel('Counts')\n", "axarr[1].axes.set_xlabel('Column Number');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "By scaling the extracted counts to roughly match the reference spectrum and shifting/scaling the column number values to match the reference spectrum wavelengths, we can determine column number to wavelength mapping.\n", "\n", "Let's define a function that takes our column numbers and counts spectra and returns a spectrum with wavelengths and fluxes that roughly match the reference spectrum. Note you usually match a model to the data, but here we go the other way.\n", "\n", "If we fit the extracted spectrum over a limited wavelength range, we can approximate the mapping with a quadratic function. " ] }, { "cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [], "source": [ "def model_sky(params, dx, counts):\n", " wav0, a, b, scale, c0 = params\n", " \n", " dtype = []\n", " dtype.append(('wav', float))\n", " dtype.append(('flux', float))\n", " model = np.zeros(counts.shape, dtype=dtype)\n", " model['wav'] = wav0 + a * dx + b * dx**2\n", " model['flux'] = c0 + scale * counts\n", " \n", " return model" ] }, { "cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# roughly match column values to wavelength values\n", "col = 2000\n", "wav = 7730\n", "params = (wav, 1.2, 0, 4, 0)\n", "model = model_sky(params, xs - col, bgspec)\n", "\n", "plt.plot(model['wav'], model['flux'], label='Extracted Sky Background')\n", "plt.plot(skyref['wav'], skyref['flux'], label='Reference Sky Spectrum')\n", "plt.xlabel('Wavelength ($\\AA$)')\n", "plt.ylabel('Counts or Flux')\n", "plt.xlim(5000,10200)\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You may find that over the full wavelength range the quadratic mapping is not sufficient. One way to handle this would be to adopt a higher order mapping function. Instead, we can use the quadratic function to find the mapping over a number of sections of limited wavelength range.\n", "\n", "The procedure is similar to what has already been done above: make an initial guess for the model parameters and then minimize the difference between the scaled model and the reference spectrum." ] }, { "cell_type": "code", "execution_count": 56, "metadata": {}, "outputs": [], "source": [ "# we must interpolate the reference spectrum to the model wavelengths\n", "skyref_interp = interp1d(skyref['wav'], skyref['flux'], bounds_error=False)\n", "\n", "def get_sky_difference(params, dx, specdata, skyatlas):\n", " model = model_sky(params, dx, specdata)\n", " \n", " # residual\n", " res = model['flux'] - skyref_interp(model['wav'])\n", " \n", " return np.sum(res**2 / np.sqrt(np.abs(model['flux'])))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Select sections of the extracted spectrum to fit. Since there is a lower density of lines in the blue (left) portion of the spectrum, we need larger bins to ensure we have sufficient information to fit." ] }, { "cell_type": "code", "execution_count": 57, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(array([ 200, 400, 600, 800, 1000, 1200, 1400, 1600, 1700, 1800, 1900,\n", " 2000, 2100, 2200, 2300, 2400, 2500, 2600, 2700, 2800, 2900, 3000,\n", " 3100, 3200, 3300, 3400, 3500, 3600, 3700, 3800, 3900]),\n", " array([100, 100, 100, 100, 100, 100, 100, 50, 50, 50, 50, 50, 50,\n", " 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50,\n", " 50, 50, 50, 50, 50]))" ] }, "execution_count": 57, "metadata": {}, "output_type": "execute_result" } ], "source": [ "cols = [200 * (i + 1) for i in range(8)]\n", "cols.extend([max(cols) + 100 * (i + 1) for i in range(51)])\n", "cols = np.array(cols)\n", "\n", "hwidths = (cols[1:] - cols[:-1]) // 2\n", "cols = cols[:-1]\n", "w = (cols + hwidths) < nx\n", "cols = cols[w]\n", "hwidths = hwidths[w]\n", "cols, hwidths" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Set up an array to hold the best-fit parameters from each section." ] }, { "cell_type": "code", "execution_count": 58, "metadata": {}, "outputs": [], "source": [ "nparams = 5\n", "fitparams = np.zeros((cols.size, nparams)) + np.nan" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Write a function to show the fitting results." ] }, { "cell_type": "code", "execution_count": 59, "metadata": {}, "outputs": [], "source": [ "def plot_sky_model(skyref, model):\n", " plt.plot(model['wav'], model['flux'], label='Extracted Sky Background');\n", " plt.plot(skyref['wav'], skyref['flux'], label='Reference Sky Spectrum');\n", " plt.xlim(model['wav'].min(), model['wav'].max());\n", " plt.ylim(model['flux'].min() - 0.25, model['flux'].max() + 0.25)\n", "\n", " plt.xlabel('Wavelength ($\\AA$)')\n", " plt.ylabel('Scaled Counts or Flux')\n", " plt.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Start by guessing a solution for one of the middle sections" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# some guesses to use for different column indexes. Keep in mind that you have to \n", "# re evalueate these cells with new guesses if the fit to the data in the plots below \n", "# starts to get bad. Plotting the residuals can help you judege this better.\n", "#guess = (5600, 1.2, 0, 40, 0) #ind=0\n", "#guess = (6295, 1.2, 0, 40, 0) #ind=3\n", "#guess = (7719, 1.2, 0, 4, 0) #ind=11\n", "#guess = (8920, 1.2, 0, 4, 0) #ind=21" ] }, { "cell_type": "code", "execution_count": 60, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "ind = 11\n", "col = cols[ind]\n", "hwidth = hwidths[ind]\n", "guess = (7719, 1.2, 0, 4, 0)\n", "w = (xs > (col - hwidth)) & (xs < (col + hwidth))\n", "model = model_sky(guess, xs[w] - col, bgspec[w])\n", "plot_sky_model(skyref, model)" ] }, { "cell_type": "code", "execution_count": 61, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Optimization terminated successfully.\n", " Current function value: 0.050575\n", " Iterations: 326\n", " Function evaluations: 544\n", "best-fit parameters are [7.71905633e+03 1.19838067e+00 6.84429623e-05 4.42597151e+00\n", " 3.57870886e-02]\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# fit for the best mapping parameters\n", "bestparams = fmin(get_sky_difference, guess, args=(xs[w] - col, bgspec[w], skyref), maxiter=10000)\n", "print(\"best-fit parameters are\", bestparams)\n", "\n", "model = model_sky(bestparams, xs[w] - col, bgspec[w])\n", "plot_sky_model(skyref, model)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Keep track of the best-fit parameters" ] }, { "cell_type": "code", "execution_count": 62, "metadata": {}, "outputs": [], "source": [ "# initial solution\n", "fitparams[ind, :] = bestparams" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can use this first solution to guess starting values for adjacent sections. We can write a function to help automate the process." ] }, { "cell_type": "code", "execution_count": 63, "metadata": {}, "outputs": [], "source": [ "def fit_another(xs, cols, hwidths, fitparams, i, plot=True):\n", " col = cols[i]\n", " hwidth = hwidths[i]\n", " \n", " # find the closest matching index with a valid fit\n", " inds = np.arange(cols.size)\n", " w = np.isfinite(fitparams[:, 0]) & (inds != i)\n", " iref = inds[w][np.argmin(np.abs(inds[w] - i))]\n", " print(\"reference index is \", iref)\n", "\n", " # get the wavelength guess\n", " if w.sum() == 0:\n", " print(\"not enough data to make guess...bye!\")\n", " return\n", " if w.sum() < 4:\n", " guess = fitparams[iref, :].copy()\n", " guess[0] = guess[0] + guess[1] * (cols[i] - cols[iref])\n", " else:\n", " if w.sum() > 9:\n", " order = 3\n", " elif w.sum() > 6:\n", " order = 2\n", " else:\n", " order = 1\n", " print(\"order is\", order)\n", " cwav = np.polyfit(cols[w], fitparams[w, 0], order)\n", " cdwav = np.polyfit(cols[w], fitparams[w, 1], order)\n", " cscale = np.polyfit(cols[w], fitparams[w, 3], order)\n", " guess = (np.polyval(cwav, col), np.polyval(cdwav, col), 0.0, np.polyval(cscale, col), 0.0)\n", " print(\"guess is\", guess)\n", "\n", " w = (xs > (cols[i] - hwidths[i])) & (xs < (cols[i] + hwidths[i]))\n", " output = fmin(get_sky_difference, guess, args=(xs[w] - cols[i], bgspec[w], skyref)\n", " , full_output=True, disp=False, maxiter=10000)\n", " if output[4] == 0:\n", " fitparams[i, :] = output[0]\n", " print(output[0])\n", "\n", " if plot:\n", " model = model_sky(output[0], xs[w] - col, bgspec[w])\n", " plot_sky_model(skyref, model)\n", " plt.title('Fit to Section {}'.format(i))\n", " else:\n", " print(\"fit failed!\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Call the function above for sections adjacent to ones that have already been fit. Just run the cell below several times to step through different section indices. \n", "\n", "**Important: if the fit looks bad, reset the `fitparams` values for that index back to `np.nan`**" ] }, { "cell_type": "code", "execution_count": 64, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "reference index is 11\n", "guess is [7.83889439e+03 1.19838067e+00 6.84429623e-05 4.42597151e+00\n", " 3.57870886e-02]\n", "[ 7.83907049e+03 1.19932756e+00 -8.55993055e-05 4.26315389e+00\n", " 4.71418490e-02]\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#ind = 11\n", "ind += 1\n", "fit_another(xs, cols, hwidths, fitparams, ind)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Use the cell below to reset any sections with bad fits (there will probably be a few, especially near the blue end!).\n", "\n", "To add more points at the blue end, you can repeat the manual guessing process above that you initially did for one of the middle sections. The regions near the Oxygen 5577 angstrom and 6300 angstrom lines are probably easiest to fit by hand." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "#don't just blindly evaluate this cell! you only want to remove ind values where the fit is bad!\n", "ind = 18\n", "print(\"deleting fit at index\", ind)\n", "fitparams[ind, :] = np.nan" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can use the cells below to check for outliers, which you should remove using the cell above.\n", "\n", "If you get stuck, you can use the pre-computed `fitparams`, which is stored in the `fitparams.dat` file. Uncomment the code below to load it." ] }, { "cell_type": "code", "execution_count": 66, "metadata": {}, "outputs": [], "source": [ "# only if you get stuck:\n", "#fitparams = pickle.load(open(os.path.join(data_dir, 'fitparams.dat'), 'rb'))\n", "\n", "# **********************\n", "# save wavelength fit results\n", "#pickle.dump(fitparams, open(os.path.join(data_dir,'fitparams.dat'), 'wb'))\n", "# **********************" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Fit a low-order polynomial to the fit results to get the column number to wavelength mapping. Plot the residuals from the fit to check for outliers." ] }, { "cell_type": "code", "execution_count": 67, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "order = 3\n", "inds = np.arange(cols.size)\n", "w = np.isfinite(fitparams[:, 0])\n", "c = np.polyfit(cols[w], fitparams[w, 0], order)\n", "plt.plot(inds[w], fitparams[w, 0] - np.polyval(c, cols[w]), 'ro');\n", "plt.xlabel('Section Index')\n", "plt.ylabel('Residual')\n", "plt.grid();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot the column number to wavelength mapping directly and with the linear fit removed to see the non-linearities in the wavelength solution." ] }, { "cell_type": "code", "execution_count": 68, "metadata": {}, "outputs": [ { "data": { "image/png": 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iuXIGdZDuTlumN2iiE25h3dqaoatvEICyonwaCozbNj9MvL2ZxN4mYp37MQiO71iVRUXWLbcoiRSZpMkklcuB9wPvAWqBRPjlBEnkiL3AFwnqG7Pm7k+Z2d8AjwDdQBIYPMVLxmvDdXJsY68/dwKzDcAGgCXaOy8iIiJybkxQB3lk0Ehe/fLj3VjTGQ529wFQmG9cWl3BjZctJh6Lsq42yrIF5eQ/eAg2fEtbVkVy6IyTynC769+a2ecItpReB6wCokAGaAL+m6DecWgqgnP3rwJfBTCzzxCsMu4zs+pwlbIa2B8OTxMkuyNiBAlumuPbZUeuPzrBz7sXuBeC7q9T8R5ERERE5CR33UXPwBBbY2tIVa8gWbWCZPVK9jwVgacexwyWLSjn2pWVrKuNEo9FubR6LsUF+c+dS1tWRXLurI8UOZfMbKG77zezJcCPgecDfwUcGtOoZ767f8jMXg28l2Cb7FXA/+vuV4aNejYDzwunfQK4fKTGciI6UkRERERkagwMDbOjvYtkuoNUS4bkD35OU+UShvOCJLEms594ezPxtmYSG79MQ02EuSU6Al0k187bkSLn2LfDmsoB4D3h0SH3AA+Z2R3AHuCmcOwPCBLKnQRHitwO4O6HzexTwOPhuE+eLqEUERERkXGcQR3k8LDzzKGjwVEeLRmS6Q6e3NtJ32BwzuO8skLigz1c/+uHSLQ1EW9rZkFPR/DiujpYVnm+35WInKVpnVS6+zXjXDsEvGyc605Q7znePPcB9015gCIiIiKzxQR1kO0Dxpb1Lw3Pg+wglc7Q1Ru0wSgtzKehJjJ6lEciFqV2fin2jQOw4a9VBylygZjWSaWIiIiITBN33UXHcB6p+stIVa8IzoSsWsH+7RHYvpmCPGNV9Vxem1jMuliUeG2E5QvKKcjPe+5cqoMUuaBM65rKXFJNpYiIiMxmx/qH2LY3M3qUR+rRTTw7b/Ho/aWHWki0NZNobyb+7/ezurqCksJxGumIyIx1odRUioiIiMg5Njg0zI59XScc5dG0r4uh4WDxoTpSQrx7Pzcnf0yivZm17TuJ9B0NXlxXB0vm5TB6Eck1JZUiIiIis4i7s/tQD8kxjXS27c3QOxA00omUFhKPRXj5pcuIx6IkYhEWVpTAxnbY8BnVQYrIc2SVVJrZHOBOgoY5iwAbc9vdfdkUxCYiIiIiZ2l/Z+/oFtaRRjqZYwMAlBTmsXZxhLdeWUeiNkIiFqXuojLM7LkTqQ5SRCaQ7UrlPwFvDb8/+f86KtIUERERyYHO3gEa05lwFTJIINsyvQDk5xmXLJrLqxqqSMSixGNRVi6aoJHORG65RUmkiDxHtknlq8PHzcAOYHBqwhERERGRM9E7MMRTbZ2jyeOWdAe7DhwdvV9/URlX1M8Pj/KIsGZxhNIiNdIRkamXbVLZCxx29yunMhgRERERea6hYefpA91saekIzoNsybC9vZOBoWCD2IK5xSRiUd6wroZEbZR4LEK0rCjHUYvIbJFtUvlF4MNmVuXu7VMZkIiIiMhs5u6kjxwLOrGG21i3tmY42j8EwNziAhpiEd5xzVISsQiJ2ihVFSXj10GKiJwHZ5xUmtl9Y58ChcB2M/sZ0DHmnrv7HVMUn4iIiMgF7VB33wkJZCqd4dDRfgCK8vO4dHEFb7w8Fq5ARllaOYe8PCWQIjJ9TGal8jae24SnFLhxzHMLxyipFBERkdll48bTdkY92jfI1tYwgQw7sqaPHAPADFYsLOclqxaO1kGuqqqgqGASjXRERHJgMknlHtTZVUREROS5Nm6EDRuOn+G4ezcDf/IudhzLZ8va54/WQTbv72I4/NdUTbSUdbVR3n51HYnaKGtrIpQX6whxEZl5zvj/XO5efw7jEBEREZmxhu/6KM+UzCNVfyXJ6pUkq1eybdFS+ncWwc6tzJ9TRDwW4ZVrq0jURojHolSWF+c6bBGRKZHVr8PM7Fqg0923nHS9GMh3956pCE5ERERkOmrP9B7vxJruIPX6e+gqKQegtL+XhvZmbn3ieyTamkn88j+JzStVIx0RuWBlu8fiUeDXwAvHuX7FWcwrIiIicv6cQR1kpmeAVGt4FmRL0Exnf1cfAAV5xqrqubw2/TvWNT1Boq2J5YdayPfh4MV1dTC/7Hy/KxGR8+pskr/xft02b4LrIiIiItPLOHWQve96D9uO5pNcfVW4CpnhmYNHR1+ytHIOL1xeSTw8ymN1dQUlhfkwfw9s+OLxuQDKyoIkVUTkAjeppNLMdo15etlJz8uABUBmKgITEREROZcGP/q/aJ6zkNTyFWypXkmqagU7FtQzuKsAdj3JoopiErFocJxHLEpDLEKktHD8yUZWN0+z6ikiciEy9zNv6Gpm4V4OnIlXJP/N3W8+28Bybf369b5p06ZchyEiIiJTwN1pOXyMLekOUi1BHeTWpjaOFZUAUNHbTby9mcTeJuLtO0k8/jOqIiU5jlpEJLfMbLO7rz/duMluf70/fLwVOAD8YMy9HmA7cN8k5xQRERE5c2dQB3mgq290+2oybKhzpGcAgKKCPNYuruBNz/yadU2bibc1UX+kjbyRk9Pq6kAJpYjIGZtUUunutwOY2UuAzSPPRURERM6Lceogu9/zfhq7C0iuWj96HmRrxzEA8gxWLprL9auriNdGSMSiXFI1l8L8PIg8Cxu+rDpIEZGzNKntr7OJtr+KiIhMP31Ll7P9WB6p6rAOsnoFOy+qxS0PgCXzy4jHIqyrjRKPRVlbU0FZ0Sl+h34Gq54iIrPVmW5/zSqpPKlBz8mOAU8A/4+7PznpyacJJZUiIiK5NTzs7DrYzZaWTLgC2cFTzx6kvyBollN59AjxtmYSbWEdZOqXzJ9TlOOoRUQuHOeqpnJEPadu1rMKeK2ZXe3u27P8GSIiInKhOM2KoLvTlukl2XK8DrKxNUN33yAAc4ryaYhFuL35URI7NhFva6Km88Dxf4jU1YESShGRnMg2qXwA+ANgAPiv8NpLgELgR8CLgIXAXcDbzzJGERERmcnGqYPseN+fkewqILnieaTSHWxpyXCwuw+Awnzj0uoK3nBZzehW1qULysnPM5izCzZ8RXWQIiLTSLZJ5dPAIHCpu+8DMLMqgu6vW4F3Ak0EiWbWzOzPgHcQrIo2ArcD1cA3gfkE22zf7u79ZlZMkOxeDhwC3uTuz4bzfAS4AxgC3u/uPzqbuEREROTMHfvYJ9g6r57k6hUkwzrI3fMWw7Ngu5tYWjmHa1dWjtZBXlo9l+KC/PEn03mQIiLTTrY1lW1Axt1XnXR9OxBx92oz+z7wcncvziowsxrgf4DV7n7MzB4iOMLkVcC/u/s3zeyfgKS7f9nM3g3E3f1PzOzNwBvc/U1mthp4ELgSWAz8BFjp7kOn+vmqqRQREZm8gaFhmvZ1kQzrILe0dNC8t4OhvCBJXNy5f7QOMtG+k7XbH6eipDDHUYuIyHjOdU1lObDQzD5PsGrowBuBlUB3OKYQOJrl/GPjKzWzAaAMaANeCrw1vH8/8Angy8CN4fcA/wb8g5lZeP2b7t4HPGNmOwkSzF+fZWwiIiKzmruz+1APyfAYj2S6g217M/QODAMQKS0kURvl9376YxJPPU68vYmFRzuOT1BXB0ooRURmvGyTyoeBtwDvC7/G+m64FfVygu2wWXH3VjP7HLCHoKPsj4HNQIe7D4bD0kBN+H0N0BK+dtDMMsBF4fXHxkw99jUiIiJyhvZ39o420UmmO0ilM2SODQBQUpjH2sURbrmqbrQOcsn8MswMipthw9dUBykicoHKNql8F8FK5BvHXHPg/wPeAywAPklQB5kVM5tHsMp4MdARzn3DOENH9u+O14l2og614+75NbMNwAaAJUuWTDJiERGRC0dn7wCN6Uy4ChkkkG2ZXgDy84yVi+byqoYq4rEoiViUlYvKKcjPG38y1UGKiFzQskoq3b0TuNnMlgJrwstb3f2Z8PtO4AtnGdvLgWfc/QCAmf078AIgamYF4WplDNgbjk8DtUDazAqACHB4zPURY19z8vu6F7gXgprKs4xfRERkRugdGOKptk5S4SrklnQHuw4cr2Cpv6iMK+rnk6iNkohFWLM4QmnRBI10JnLLLUoiRUQuUNmuVALg7ruAXVMUy8n2AFebWRnB9teXAZsIjjB5I0Et563Ad8PxD4fPfx3e/5m7u5k9DHzDzP6eoFHPCuC35yhmERGR3DvFmZBDw87TB7rZ0tJBKqyF3N7eycBQ8LvUBXOLScSivGFdDYnaKPFYhGiZzn8UEZGJZZVUmtkc4E6CRG8RJ24xdXdfdraBuftvzOzfCI4NGQR+R7CK+H3gm2b26fDaV8OXfBX4l7ARz2HgzeE828LOsU+G87zndJ1fRUREZqwxZ0I6kD5yjNTf3keyrYTk3MVsbc1wtD/4a7C8uIB4LMI7rllKIhYhURulqqIkqIMUERE5Q9keKfIvHO/AevLfPO7uk9wTM/3oSBEREZlpDnX3kfq93yeZHwnOg6xawaE5UQCKhga4tH4B62KRoA6yNsrSyjnk5SmBFBGR8Z3rI0VeHT5uBnYQrACKiIjIeXK0b5CtrRlS6Qxb0sFW1pbDx+DF78Z8mBUHW3jJrsdJ7G0i0d7MqgO7KRrsz3XYIiJyAco2qewFDrv7lVMZjIiIyKx1ijrIgaFhdrR3nVAH2by/i+Fws1FNtJR1tVHedlUdib94J2tTv6K8/9iJ89fVnec3JCIis0W2SeW9wAfMrMrd26cyIBERkVlnTB3kMMYzXYOk/u5fSO4tJTlnEdv2dtI/OAzAvLJCErVRXrG2inW1wVbWyvLi43N94HbY8GsYuyipMyFFROQcyjapvBgoBbab2c8IzpEc4e5+x1lHJiIiMgu0Z3rZ8o8PkVr/xrAOcjldJeUAlO7ro2F5Hrc+v454LMq62iixeaWnbqSjMyFFROQ8y7ZRzzDgBE16xk5gqFGPiIjIuDI9A6RaO4I6yJYOki0d7O/qA6BgaJBVB54l3tbMurYm4m1NLD+cpmBIbQtERCQ3znWjnj2cmEyKiIjMPqeog+wdGGLb3k6SI3WQ6QzPHDw6+tKllXN44fJK4rEIifffzurUryk5uZGO6iBFRGQGyCqpdPf6KY5DRERkZhlTBzloeTT3GKnPP8iW1lJSJQvY0d7FYNhJZ1FFMYlYlDdeHiMRi9IQixApLTw+1wf/GDY8DmOTStVBiojIDJHtSiVmVg98BLgaaAL+Drge+La7b5uK4ERERKYbd2fP4R6S//zvpK56C8nqlWxdtIxjRSUAzG3vIbG6iHe+eGlwHmQsSlWk5NSTqg5SRERmsGxrKi8FfglECOooHwPeC2wCvuTu75vKIHNBNZUiIgKwv7OXZDozuoU1le6go2cAgKLBftbue/qEOsj6jnbyhodyHLWIiMjZO9c1lfcAUWAbsAbA3Z8wsyPAdVnOKSIicu6dog4yc2yAxnSGZLojrIXM0N7ZC0B+nrFiYTmvWF1FojZK/J1v5ZLGxyg8OYFUHaSIiMwy2SaVLwbagcuB3jHXW4D6s4xJRETk3BhTB3msoJhtg2Ukv/QdUnvKSBXOO6GRTv1FZVy1dH64hTXCmsURSovGNDf/y3fBht9BT8/xa6qDFBGRWSjbpLIISLt7/0lnZUWBwvFfIiIikhsDQ8PsaO8idd8PSF17B8mqFTQtqGMoL0gSq9qOEF9fyxsvjxGPRYjXRImUneavM9VBioiIANknlc3AWjN7R/i8xMz+ElgCbJmSyERERLIwPOw8c+hoUAPZEmxlfXJvJ32Dw3DFW4kc6yLe3szLHvst8bZmEu3NLDp6BIaHJ//DbrlFSaSIiMx62SaV9wJfBP6Z4LzKRPjlwFenJjQREZHQBHWQ7k5bppdky/EmOo2tGbp6BwEoLcynoSbC26+uI14bJXHL61iybTN28vyqgxQREclatudUfsnMVgHvhtG/mx34J3f/0lQFJyIiMrYO8nBpBcn8SlJf+RGpZ+eQ9HIOdvcBUJhvrKqq4HWJxSRiUeK1EZYvKKcgP+/4XB/5s9G5RqkOUkRE5KxkfU6lu7/PzD4HXEGQWD7u7s9OVWAiIjK7dfcNsrU1Q+qBn5F8+XtJVa+kJVoFgPn6qZ6fAAAgAElEQVQwy9L7uPYl9UECGYtwaXUFJYX5p55UdZAiIiJTLqtzKmcDnVMpInL+9A0Osb2ti1S6gy0twTbWnQe6Gfkrqiazj0RbM4m2JuJtzazdt5O5A73Z1UGKiIjIGZnycyrN7L4zHOrufseZzisiIheoCeogh4adpw90s6Wlg1Q6OAvyqbZOBoaCDPKiOUUkaqO8Ol5NIhal4caXUtm07bnzqw5SRERkWpjM9tfbCOomT8XCMUoqRURms7AO0nt6aIksIlm6hNT9vyC5q5ytA8X09A8BUF5cQENNhD960cWj21hroqWccFzVxz6iOkgREZFpbDJJ5R5On1SKiMgstr+rl1RLhtSDvyL56g+RqlrBkbIIAEWD/aze3cJNr72OeCxKojbK0so55OU9pxfriVQHKSIiMq2ppnICqqkUETm1zt4BGtOZE7axtmV6AcgbHmLlwT2jNZCJ9mZWHthNkQ+pDlJERGSGmPKaynF+QD3wEeBqoAn4O+B64NvuPk7xi4iIzFS9A0Ns25shGTbRSaUz7Dp4dPR+/UVlXFE/n3gsQqI2ypqXXU3ZrubnTqQ6SBERkQtOVkmlmV0K/BKIENRRHgX6gU8AC4D3TVF8IiJyng0MDdO0r4tUOkggky0ZduzrYmg42NmyqKKYeCzK7z+vhnhYBxktKzpxkk9+XHWQIiIis0S2K5X3AFFgG7AGwN2fMLMjwHVTE5qIiJxrw8POs4eOkkpnSKY7SLZ0sG1vJ32DwRbVSGkh8ViEP1m1lERYB7moouT0E6sOUkREZNbINql8MdAOXA70jrneAtSfZUwAmNklwLfGXFoKfAx4ILxeDzwL3OzuRyxoFfgF4FVAD3Cbuz8RznUr8NFwnk+7+/1TEaOIyEzi7rR39pJsCRLIkW2sXb2DAJQU5rF2cYS3XV0XbGONRam7qOzETqyTccstSiJFRERmgWyTyiIg7e79J/1jIwoUnnVUgLvvANYBmFk+0Ar8B3An8FN3v8fM7gyffxi4AVgRfl0FfBm4yszmAx8H1hN0r91sZg+7+5GpiFNEJOcmOA/yyNH+MHkMt7GmMxzo6gOgIM9YVT2X1yYWk4hFiMeirFhYTkF+Xo7fjIiIiMw02SaVzcBaM3tH+LzEzP4SWAJsmZLITvQy4Gl3321mN3J8i+39wKMESeWNwAMetLN9zMyiZlYdjn3E3Q8DmNkjwCuBB89BnCIi51d4HuTRgWG21qwmtXAlyW9vI7XjYfb05wNgBksr53DN8krisQjx2iirqysoKczPcfAiIiJyIcg2qbwX+CLwzwSrf4nwy4GvTk1oJ3gzx5PARe7eBuDubWa2MLxeQ7D9dkQ6vDbRdRGRGal/cJjt7Z0k0xmS332K1Js/y86LYgznBUliTWY/8adTvHXDW4jHIjTURJhbMiWbSERERESeI6uk0t2/ZGargHcTdH+FIKH8J3f/0lQFB2BmRcDrCI4vOeXQca75Ka6P97M2ABsAlixZMokoRUTOjaFhZ9eB7vAsyGAb61NtXfQPBY105letJtHWxA07fhmcCdneTGVPJlie3PjR08wuIiIicvayPqfS3d9nZp8DriBI3B5392enKrAxbgCecPd94fN9ZlYdrlJWA/vD62mgdszrYsDe8Pp1J11/dLwf5O73EqzCsn79+nETTxGRc8XdSR85NloHmWzpYGtrhqP9QwCUFxewtqaC219YP3qUR+x5q7Hdu587mX4xJiIiIudJ1kklgLvvBsb518yUegsn1j8+DNxKcKzJrcB3x1x/r5l9k6BRTyZMPH8EfMbM5oXjruf0q54iIufc/q5eUi0ZUq2Z0U6sh4/2A1CUn8eliyv4g8tj4VEeEZZWlpOXd9Lmi7vv1nmQIiIiklNZJZVhonYf8B1375vakE74OWXA7wHvHHP5HuAhM7sD2APcFF7/AcFxIjsJjhS5HcDdD5vZp4DHw3GfHGnaIyJyvnT09JNKZ2hsDVYgG1sztGWCE5nyDFYsnMvLL11IPBYlEYtySdVcigrOoBOrzoMUERGRHLOgWeokX2Q2TFCX2Emwini/u/9mimPLqfXr1/umTZtyHYaIzEDdfYNsbc3QmA7Og2xszbD70PGVxIsr5wRdWMMtrGsWV1BWdFYbR0RERESmnJltdvf1pxuX7b9ifgi8HIgQrCK+08x2AF8D/nWkO6uIyIWud2CIJ9s6jyeQ6Qw7D3Qz8vu6mmgp8ViEN1+xhHgswtqaCJFSdWIVERGRC0e23V9fHdYovpHguI9rgVUEW1PvBoqmLEIRkWliYGiYHe1dNI6pgdzR3sXgcJBBVpYXk4hFeE18cXCURyxCZXlxjqMWERERObfOpvvrEeArwFfM7NXh91WATtMWkRlv5CiPkWM8kukMT7Z10j8YHOURKS0kHouw4dqlQR1kbYSqihLMxjvFSEREROTClXVSaWarCVYp3wQsH3Or42yDEhE5n9ydPYd7SKYzNIYJ5LYxR3mUFeWztibCH15dR7w2SiIWYcn8MiWQIiIiImTf/TUJrB15CgwDPwG+DvzHlEQmInIOuDvtnb0kWzI0tnaEK5EZMscGACgqyGN1dXCUR9CJNcLSBeXkn3yUh4iIiIgA2a9UNoSPO4D7gQfcfe/UhCQiMnUOdfeNJo6pdAep1gwHuoKTkPLzjEsWzeWGtVWjnVhXLjrDozxEREREBMg+qbwX+Lq7PzaVwYiInI3O3gEaxyaQ6QytHccAMINlC8q5ZkUl8ZoI8dooq6srKClUGbiIiIjI2ci2++ufmFmRmb0EWMxJzXnc/YGpCE5EZCI9/YNs29s5mkA2pjPsOnh09P6S+WVctiTKrS+oIx6LsmZxBXNLdJSHiIiIyFTLtqZyBfAIUDvObQeUVIrIlOkbHGJ7Wxep1gyplmAFsnl/F+FJHlRVlBCPRfj959UQj0VpqIkwb45ONhIRERE5H7Ld/noPsGQqAxERARgcGqZ5fzeN6QzJcAvr9vZOBoaCDHL+nCLisQivWLNotA5yYUVJjqMWERERmb2yTSpfBAwCNxCsWP4O+FvgiwTHjIiInNbwsPPMoaMnJJDb9mboHQjOgpxbXEBDLMIfvehiEuEKZGxeqY7yEBEREZlGsk0q5wFPuftPzcyBAXf/lpndBfwV8LMpi1BELgjuTvrIMRpbwwSyJcPW1gxdfYMAlBTmsWZxhLdcuSRIIGMRLr5oDnk6ykNERERkWss2qewCRnrudwOrzOwqgi2xy6YiMBGZ2fZ39o420UmmMzS2Zjh8tB+AwnxjVVUFr1u3eDSBXLGwnIJ8HeUhIiIiMtNkm1TuAZaZWT7QCDwf+FV475mpCExEZo4jR/tpbB2TQKYztHf2ApBnsGLhXF62aiHx2ijxmgirqudSXKCjPEREREQuBNkmlRuBFwMrgbuB/wCKgCHgE1MSmYhMS919gzSmMzS2Hk8g9xzuGb1/ceUcrlo6f7SJzprFFZQVZfu/GhERERGZ7rI9p/JzwOfCp0+Z2aXAZcA2d98xVcGJyHmwcSPcdRfs2QNLlsDdd8MttwDQOzDEtr2dNIZNdFKtGZ4+0I2HR3nUREuJx4I6yHgswtqaCJFSnQUpIiIiMptMKqk0s13Az4FfAL9w9yYAd38GbXsVmXk2boQNG6Cnh/68Anb0FpD6wkM0pktJlSygaV8Xg+FhkJXlxSRiEV4bX0w8FqEhFqGyvDjHb0BEREREcm2yK5X1QB3wdgAz20+YYAI/d/fklEYnIufEwNAwzfu6afzq90i96DYaq5azfcHF9BcEq4yR9qPE1xbxzlVLaaiJkqiNUFVRoqM8REREROQ5zEf2sZ3JYLOvA9cAF4+5PHaCTuB/3P21UxJdDq1fv943bdqU6zBEztrQsLNzfzepdAdbW4MtrE/u7aRvMDwLsu8oDW07aWhvpmHfTuJtzdR27seGh3McuYiIiIjkkpltdvf1pxs3qZVKd78tnHwxQaOea8PHVeGQCPCqSUUqIlNmeNjZdfAoja1BDWRjOsO2vZ0cGxgCoKwon7U1Ed5+dR0NsQjxt72eum2byeOkXy7V1eUgehERERGZibJt1LMXeNDMfkiwcvkHwFuznU9EJs/d2X2oh1RrZrSRzra9nXT3DQJQUpjHmsUR3nRFLfFYhHgswsWV5eTnjdnC+pEPjNZUjiorC5r1iIiIiIicgck26qkiWJ28JnxcA1j4NQT8DvjvKY5RZNZzd9JHjoVnQQbHeTSmM3T2BglkUUEel1ZX8IbLaoIVyFiE5QvKKcjPO/XEYZfXibq/ioiIiIiczmRrKoc5XkM5AGwm6Ab7c4Jayq4pjzBHVFMpueLutGV6SaUzozWQjekOjvQMAFCYb6yqqqAhFqGhJvhauWguRQWnSSBFRERERCbhnNRUjrEf+CLwI+AJn0xmKiIn2N/ZO3oGZGO6g8bWDAe7+wHIzzNWLprL9aurRlcgL6maS3FBfo6jFhEREREJTDap/DbwImAR8Knwq9vMfsXxFcvfuvvAVARnZlHg/wBrCVZI/wjYAXyL4HiTZ4Gb3f2IBWcdfIGgUVAPcJu7PxHOcyvw0XDaT7v7/VMRn8hkHezuo7E1aKAzso11X2cfAHkGyxeW8+KVC0fPgVxdXUFJoRJIEREREZm+Jtv99SYAM1vB8e6vLwJeAVwfDjsGlE9RfF8A/tPd32hmRUAZ8FfAT939HjO7E7gT+DBwA7Ai/LoK+DJwlZnNBz4OrCdITDeb2cPufmSKYhQZV0dP//EayHSGxtYMrR3HRu8vXTCH5y+9iIZYlHiYQM4pVq8rEREREZlZsu3+2gw0m9k3gBcSdH69JZyvdCoCM7MKgqT1tvBn9gP9ZnYjcF047H7gUYKk8kbggXAr7mNmFjWz6nDsI+5+OJz3EeCVwINTEacIQGfvAFtHViDDxz2Hj3dUrb+ojOfVzePWF9TRUBNlbU0Fc0sKcxixiIiIiMjUmGz31wjByuS14dfzJjvHJCwFDgBfM7MEQVOgPwUWuXsbgLu3mdnCcHwN0DLm9enw2kTXRbLS3TfIttbMmE6sGZ45eHT0fmxeKfFYhLdcuYR4LMLaxREiZUogRUREROTCNNmE8CAw0mJyzGF39AOPE9RUTtWRIgUESev73P03ZvYFgq2uE7Fxrvkprj93ArMNwAaAJUuWTC5auSAd6x/iybbjW1hTrRmePtDNSGuq6kgJDTUR/uB5NTTEojTURJg/pyi3QYuIiIiInEeTTSpHOoYcBR7jeHOex9y9byoDI1hRTLv7b8Ln/0aQVO4zs+pwlbKaoBPtyPjaMa+PAXvD69eddP3R8X6gu98L3AvBkSJT8zZkpugdGGJ7exeN6Y7RFcimfV0Mh/8lVJYXk4hFeE28OliBrImwcG5JboMWEREREcmxySaVHyZIIje5+9A5iGeUu7ebWYuZXeLuO4CXAU+GX7cC94SP3w1f8jDwXjP7JkGjnkyYeP4I+IyZzQvHXQ985FzGLtNf/+AwTfu6RjuwptIZdrR3MRhmkPPnFNFQE+H3Vi+ioSZCPBZlUUUxQZNhEREREREZMdnur589V4FM4H3AxrDz6y7gdoLttw+Z2R3AHuCmcOwPCI4T2UlwpMjtYcyHzexTBNtzAT450rRHZoeBoWGa93WPJo+NrRm2t3XRPzQMQKS0kHgswoZrl4ZHeURZHClRAikiIiIicgbMXbs8x7N+/XrftGlTrsOQSRoadp4+0B3WQHaQas3w5N5O+gaDBHJucQFrayKj50DGa6LUzi9VAikiIiIichIz2+zu6083TofiyYw1NoHcGnZjfXJvJ8cGgp3ZZUX5rF0c4W1X1wVJZE2E+ovmkJenBFJEREREZKooqZQZ4XQJZGlhPmsWV/CmK2ppqAlWIZctKCdfCaSIiIiIyDmlpFKmnZEEsjGsfzxdAhmPRViqBFJEREREJCeUVEpOKYEUEREREZnZlFTKeTPZBFJbWEVEREREpj8llZK9jRvhrrtgzx5YsgTuvhtuuQV4bgK5tTXDNiWQIiIiIiIXHCWVkp2NG2HDBujpYcjyePqo0/j3/0rj3lK2llcpgRQRERERmSWUVMqkjK5AfuW7ND7/bWytWsa2hcs4VlQCQOm+PlaXowRSRERERGSWUFIpEzrlFtarb6W0v5fV+3fxptSPaWjfScO+nSw73Er+0GCuQxcRERERkfNESaUAQQK5KzwHciSBfLKtk57+41tYV4/dwnr7TSzb+lvyffjEierqchC9iIiIiIjkipLKWWgkgWxszZBKT5xA3rz+FFtYP/ze0ZrKUWVlQbMeERERERGZNZRUXuAmk0CuDc+BPKMayLDL60TdX0VEREREZHYwd891DNPS+vXrfdOmTbkOY1LGJpCNrRka0+MnkA01kcklkCIiIiIiMuuY2WZ3X3+6cVqpnKHONIEcWYFsqImwbMEcCvLzchy5iIiIiIhcSJRUzhCdvQP85Ml9J3RhHUkgSwrzWLM4ogRSRERERETOOyWVM0SmZ4APPpRUAikiIiIiItOKksoZIjavlB994FolkCIiIiIiMq0oqZwhzIxLqubmOgwREREREZETaMlLREREREREsqakUkRERERERLKmpFJERERERESypqRSREREREREsqakUkRERERERLJm7p7rGKYlMzsA7M51HOOoBA7mOohZSJ977uizzw197rmjzz439Lnnjj773NDnnjsz6bOvc/cFpxukpHKGMbNN7r4+13HMNvrcc0effW7oc88dffa5oc89d/TZ54Y+99y5ED97bX8VERERERGRrCmpFBERERERkawpqZx57s11ALOUPvfc0WefG/rcc0effW7oc88dffa5oc89dy64z141lSIiMquY2bNAHXC/u9+W22hmHjP7BPBxAHe33EYjIiLTgVYqRURk2jOzYjP7MzP7tZllzOyYmTWb2VfN7NJcx3cumdnXzczDr6+ddG/k+udyFZ+IiIiSShERmdbMbB7wa+DvgasJ/u5qJmjJ/kfAK3IX3Xn3djNbnesgzjUzK8p1DCIicuaUVIqIyHT3D8Bl4fefA+a7e9zd5wEvBRpHBprZi8zsR+FqZp+Z7TCzu8yscKLJzax+zIrfbWOuPxte+/o44/7CzP7dzHrMbGv4cy8zs9+a2VEz+x8zu2TMXCOrjc+a2U1mtj0c9/Ox485APnD3qQaMifETY649Gl57dJxxfxuu+Hab2S4ze4OZXWxmPwlj3GJmV0/ws15oZk+YWa+ZJc3smpPuX2Fm3zOzw+GfR6OZ3T5BvJ8NP6cM8K1JfCYiIpJjBbkOQEREZCJmFgFuDp8mgQ/5mGYA7v5fY8ZeBzxC8HdbB/AssBL4NLAWeMsUhvZpYC8wDKwBvk3wi9rDQCHwQuC+8HGsGmAj8DRQClwzwbjxZIBDwOvN7Cp3/83Zvw0A3k9wCHc/cDHwDaBtzP0E8E0zW+7ugye99odAGnAgDvzAzJa5+34zewHwX0ARsB/YSfDncJ+ZzXf3vxsnjkFgF9A3Re9NRETOA61UiojIdLaS478A/YWfurvcX4djW4Cl7n4J8DfhvTebWcMUxvXfwDLgA+HzhcB3TvqZLzCz0pNeVwD8gbtfCnz+FOPGM0jYIAe4J+vIn2snwXsZSd5LCLYXLyNI9CBobLR8nNd+0N1XEyTFDpQD7wnvfZogofw5EHP3NcBHw3sfN7OSk+bqBC5x9wbglrN9UyIicv4oqRQRkelsbHfR07UrvyJ8/E93PxJ+/40x99dPWVTw/TDBfXbMtf8bPu4ac23hSa/LuPvIuCdPMW4i3wBSwHVmNlW1pD929z5OfC8j72/se1k0zmu/BeDuTxAkohCsRgJcFT5eC/SbmRMkmgBzCVZ4x/q2u6fD+YayeB8iIpIj2v4qIiLT2Q6CFboC4EVmZqdZrYTTJ5+nGp8/5vvIKV7TGT4OjnNt7HwnH7nRMeb7wVOMG5e7D5vZXQQJ7GdOM/xcv5eTTXR/L8Hq8cmGT3refpr5RURkmtJKpYiITFvungEeCp9eBnzGzEZ/IWpm15rZS8Onj4ePN4QdYwHeOma6TRP8mP1jvl8WznsdED2L0M8Zd/8e8D/A8yYYMvJ+Rt7Lco6vHk61m8KfsY7j22O3ho8jfx57gZe5+9XufjXwWuDz7v67cxSTiIicZ0oqRURkunsvMJKA3AkcNrOUmR0kqG2Mh/c+TrDaVgvsMrMdwIfDe99090bG4e7HCI4sAfgLM/svgpXAk1fSppOPnOLeT8PHt5jZfwOPce7+vv/fZrYN+BXBSuVR4B/Dex8FBgi2HbeZ2e/MbA/BiuRU1oSKiEiOKakUEZFpLayPfAHw58Bvw8srgS7gfuDH4bhHgZeEz/MIOpk2Af8L+MPT/JjbgF8QJKU1BInseFs2pwV3/x/g+xPc/mB4r5vgM/gbgpXNc+HVBJ1a8wmOdnm1u+8bE+M1wPcIPteR8zW/T/BnIiIiFwg7fWmKiIiIiIiIyPi0UikiIiIiIiJZU1IpIiIiIiIiWVNSKSIiIiIiIllTUikiIiIiIiJZU1IpIiIiIiIiWVNSKSIiIiIiIllTUikiIiIiIiJZU1IpIiIiIiIiWVNSKSIiIiIiIllTUikiIiIiIiJZU1IpIiIiIiIiWVNSKSIiIiIiIllTUikiIiIiIiJZU1IpIiIiIiIiWVNSKSIiIiIiIllTUikiIiIiIiJZU1IpIiIiIiIiWVNSKSIiIiIiIlkryHUA01VlZaXX19fnOgwREREREZGc2Lx580F3X3C6cUoqJ1BfX8+mTZtyHYaIiIiIiEhOmNnuMxmn7a8iIiIiIiKSNSWVIiIiIiIikjUllSIiIiIiIpI1JZUiIiIiIiKSNSWVIiIiIiIiOdLR00//4HCuwzgr6v4qIiIiIiJyHnT3DbK1NUNjOkMy3UFja4bdh3r4xh9fxQuWVeY6vKwpqRQREREREZlivQNDPNnWSaqlg1RrhlQ6w9MHunEP7tdES4nHIrzpilpq55XlNtizpKRSRERERETkLAwODbNjXxdbWjrCVcgMTfu6GBoOMsjK8mISsQivjS8mHovQEItQWV6c46injpJKEREREfn/27vv8Liu+8zj3x96rwOwoIMEKbGIRWAnZcVyt2PZiYssrq3YjpF1WdubuMtZO7GUlZM4ya7jEiXruCxl2UmcWCs7sey4ECTFAjaxiBRAEo0NvXfM2T/uBTikAFKEAAzK+3meeebOnTsXZ85cDvDynvO7IjKWXbvg4Yehthby8+HRR3EPPsjFtl6O17VzrK7VC5IX2+kb9OZFpiVEszonlVfeUcxduWnclZvKwpQ4zCzMb2bqKFSKiIiIiIjcaNcuKCujYwiey7+LY4uXc+zHlRx7/mmahrx6pzFREaxcnMK7NuazNi+NtXlp5GckzOkAORaFShEREREREWBwOMjZK50crWvj2FNnOP6uv+RcZi7OvBBZ3FzHPZUHWfvx97M2L407FqYQE6ULaihUioiIiIjIvOOco761l2N1baO3kxfb6fcv75GZfQdrL7/A/ad/w5rLL7Dm8guk9neDGfzgS2Fu/cyiUCkiIiIiInPHGPMg2bmTvsFhnqtv53BNK0dqWzla20pT1wAAsVERrMpJ5b9sLhgdxpq7fgVWU/Pi/efnT/MbmvkUKkVEREREZG7w50G6nh4uJWdxJD6fw9/bx9GqJE71RzPkV2MtDiTyimXZrM1PY11eGssXJhMdecMw1kcfhbIy6Om5ti4hwVsv11GoFBERERGRWa1/aJhTlzo48p1fcOTVH+VIzh1cSQ4AED/Qx5rq85S98/XcXZDOuvx0MhJjbr3TnTu9+zHOesr1zI1cfVOuU1pa6ioqKsLdDBERERERuUFDZx9Hato4UtvKkZpWnrvYzoA/FzK37QrrL53h7otnWH/xee5orCbaBSEYDHOrZx8zO+ycK73VdjpTKSIiIiIi4TXOPEiAoeEgZ650cqS2dXQ+ZF1LLwAxkRGszk3loS0F3F2Qzvq3vZbssydevP+Cgul8N/OOQqWIiIiIiISPPw9yZO5i1+UGjn7pqxy6GkdFcg7H6troGRgGYEFKLHcXpPPQlkLWF6SzcnEKsVGR1/b1x5/WPMgwUKgUEREREZGwafjSl6nIW8eh3BVU5Kzg9IJihiMiibgS5M6oQd5+dy53F2awPj+NnLR4zGz8nWkeZFhoTuU4NKdSRERERGRyOec419hNRXULh6pbqahpoabZO6sYN9jHuktn2VB/mtL606y7fJbkvu4wt3h+05xKEREREREJq4GhIKcutXPID5GHa1pp6fauDZmRGENpQTrv/sX3KD2xl5VXzxEdHL72Ys2DnDUUKkVERERE5PaNUVyn83ffwZHaNv9MZAvH6troG/SqrhZmJvDKO7LZUJhOaWEGxYFEbyhr5H1Q9gMIDZSaBzmrKFSKiIiIiMjt8YvrNFgMB5dv41DuSg79spUzJ35GECPCYOXiVN61MZ8NhRmUFqSTnRI39r40D3LW05zKcWhOpYiIiIjI9S619XLgQjMH/uzrHEwr4HxmLgDxA32sv3SG0q6LbPjrP2VtfhpJsTp/NdtpTqWIiIiIiEyYc47alh4OnG/hwIUWDlxopr7Vuz5kcs4aNtSf5p3PPcOmupPX5kOawdNfD3PLZbopVIqIiIiIzBdjzIMcGWbqVWbt8gLk+RYOXmjhSkcfAOkJ0WwsyuB924rYWJTBndvXElld/eL95+dP45uRmUKhUkRERERkPvDnQdLjXcIjWFPL2c8+woGmGA4Gijl4oYWmLq8ya1ZyLJuKMthUnMmmogyWZiURERFyfchHHrluX4CK68xjCpUiIiIiIvPA0Of/mNMpizm4chX781ZxKHcl7fHJcBlyetu5pySLjX6QLMxM8CqzjkfFdSSECvWMQ4V6RERERGQ2GxwO8lx9u1dY53wLh0/U0L7npIAAACAASURBVBWbAEBhyyU21p9kU+1JNtafIq/tSphbKzORCvWIiIiIiMwjQ8NBTl7q4NlzzTx7vpmK6hZ6BrxrPy7NTuL+2sNsev5ZNtadYmFX87UXFhSEqcUyVyhUioiIiIjMZOMU1xkOOp6/fC1EHrrQQmf/EOCFyN9dn8uWJZlsLMogkBQLC+qh7KuaBymTTqFSRERERGSmCimuE8Q40xPBs1/7N56tTuTgYDwdfV6ILA4k8ttrF7OlOJNNxRlkJ8e9eF+aBylTRHMqx6E5lSIiIiISTs45Ktds5dnoAM/mr+ZA3ipaE1IBKOhsZPNvrWfLkkw2F2eyMHWMECnyMs3pOZVm9i3gTUCDc26Vv+6LwAeARn+zzznnfuo/91ng/cAw8FHn3M+mvdEiIiIiIjfhXSeym2fPN7P/XDP7zzfT/IbPA5DTfpX7zh1kS80JNteeIKerCb4WDHOLRTyzMlQC3wb+FvjuDev/2jn3l6ErzGwF8ACwElgM/MLMljnnhqejoSIiIiIiY3HOUdPcw7Pnm3nWD5ENnf0ALEyJ455lWWz55pfZcvRX5LVfvf7FKq4jM8isDJXOud1mVvgSN78feNI51w9cMLMqYCPw7BQ1T0RERETmu3GK69S19IwW1tl/vpnL7X0AZCXHsqU4ky1LMtlSnEnByHUih94EZU9dv28V15EZZlaGypv4iJm9B6gA/sg51wrkAPtDtqn314mIiIiITL6Q4jrN8Snsi89n3/cr2Hs2mdqBSAAyE2PYXJzJZj9ELslK9ELkjVRcR2aBuRQqvwF8CXD+/VeA9wFj/OtkzOpEZlYGlAHk5+dPTStFREREZM7q6h/i4N8+wd7ND7K3YA1nsosASO7vZtP5U7z3gw+wdUmAZQuSxg6RY9m5UyFSZrQ5Eyqdc6MDzc3s74Gn/Yf1QF7IprnApXH28TjwOHjVX6empSIiIiIyV/QPDXO0to19VU3sPdfM8bo2hl7xIWKGBiitf55P/uY7bK05zuorVUTh4P9+NtxNFpl0cyZUmtki59xl/+FbgZP+8lPAE2b2V3iFekqAg2FoooiIiIjMdOPMhRwxHHScvtTB3nNN7K1q4lB1C32DQSIMVuemUXZPMdu+8DHuPvJr4oYGrt+3iuvIHDUrQ6WZfR+4FwiYWT3wBeBeM1uLN7S1GvgDAOfcKTP7IXAaGAI+rMqvIiIiIvIiIXMhAaipwZWVcb4/gn13bmFvlVdgp713EICS7CQe2JDP1iWZbCrOJDU+2ntd83ugbA+EhkoV15E5zJzTKM+xlJaWuoqKinA3Q0RERESmS2Eh1NRwJSmTvQVr2Fuwhn2Fa7iSHAAgJy2erUsy2bY0wNYlmWSnxI2/r1uc8RSZDczssHOu9FbbzcozlSIiIiIik6WtZ4D955vZu+wN7H31XZzP9MpxpPe0s7X2ObbWPMe2n//Ttct8vBQqriPziEKliIiIiMwrvQPDHKpuYe+5JvZVNXPyUjvOQcLqV7Gx9gTvOv4MW2uOcWdDNRE4by5kIDHczRaZsRQqRURERGR2u8VQ02DQ8fyVDsormyivbOTQhVYGhoNERxrr8tL52H0lbFsaYE35vxPzzT+/NqcSNBdS5CVQqBQRERGR2WuM4jqUlXF10ChffQ97KhvZU9VEU5dXNOeOhck8tLWAbUsDbCzKICEm5M/hwp0QgeZCitwmFeoZhwr1iIiIiMwCfnGd3qhYDuatpLxwHeVF6zibVQhAICmG7UsD7CjJYntJgAU3K64jItdRoR4RERERmbNGhrTuWXg35Zt/n4O5KxmIiiFmaICN9af4nVO/ZPuPvsWdC1OIiHiJxXVEZEIUKkVERERkVmjo6BudFzk6pPXe97G8sZr3HPkJO6qPsrHuFPFD/V5xncWp4W6yyLygUCkiIiIiM1Lf4DAHL7RQXtlIeWUTZ650ApCZGMOOkgDbS7LYcWI3C776KRXXEQkjhUoRERERmX5jVGx1Dz7I85c7R0PkweoWBoaCxERGsKEonc+8/g52lASuH9J694MQ7VRcRySMFCpFREREZHqFVGxtSExjT1Ix5f/0HOXPp9A0FAHA8gXJvGdzAdtLAmwqyiQ+JnL8/e3cqRApEkYKlSIiIiIybfoGhzn41e+xZ+M72V20njPZRQBkdrexveowOz75+2xfGmBhqqq0iswWuqTIOHRJEREREZGXzznHmSvXhrQeuOAPaR0apLT+NDuqj7DjwlFWNFwgwoBgMNxNFhGfLikiIiIiImHR0NnHnsom9lQ2UV7VRGNnPwDLFiTx7s0F7HjkE2w88ksSBvuvf2F+QRhaKyIvl0KliIiIiLw0YxTXYedO+gaHOVTdQnllE7tfaByt0pqRGMP2pQF2lATYUZJ1bUhr+04o+w0MhuxbFVtFZi2FShERERG5tZDiOg442w3l33iK3RcSOdgXS79fpbW0MJ1Pv86r0rpiUUiV1lAjRXVUsVVkTtCcynFoTqWIiIjINY3LV7MnKkB50XrKC9fSmJQBQEn7ZXa8YSs7lgXYVJRBQozOWYjMFZpTKSIiIiIT1jc4TEV1K+WVjeyubOL5tz4GQEZPO9urj7LjwlG21xxjUVcLfEPFdUTmM4VKEREREcE5x9mrnZS/0MTuykYOXmihfyhIdKRRWpDBp47/G/cc/RUrrp4ngpCRbgUqriMy3ylUioiIiMxTjZ397K3yQuSeyiYa/CqtS7OTeHBTPveUZLGp2B/SmngOdj8BoYFSxXVEBIVKERERkXkjdEhreWUTpy93AJCeEM32kiy/SmuARanxL36xiuuIyDhUqGccKtQjIiIis51zjheudo3Oizxwvnl0SOvdBensKMninpIsVi4ep0qriMxrKtQjIiIiMg81dflDWl9ooryyccwhrRuLMkiM1Z+BIjI59G0iIiIiMov1DQ5zuKaV3ZWNlL9w/ZDWbUsD3FOSxfaSAIvTxhjSKiIyCRQqRURERGYR5xyVDV3sfsGbF3ngQjN9g9eGtH7ytcs1pFVEppVCpYiIiMgMFzqkdU9VI1c7vCGtS7ISeWBDPvcsC7CpKFNDWkUkLPTNIyIiIjLD9A8Nc7i6ld2V3rzIU5e8Ia1po0NaA2wvySJHQ1pFZAZQqBQREREJs5EhreV+iNx/3hvSGhVxbUjrjpIAKxenEqkhrSIywyhUioiIiIRBc1c/e6qaRoPkjUNad5QE2FScSZKGtIrIDKdvKREREZHJsGsXPPww1NZCfj48+ijs3Dn69MiQ1vIqL0SevKghrSIyNyhUioiIiLxcu3ZBWRn09HiPa2pwZWVU9UWwe/lmyisbOXC+hd7BYaIijPUF6XziNcvYUZLFqhwNaRWR2U2hUkREROTlevhh6OmhOT6FvYVrKS9cR3nROq5UpkDlaYqzEnnnhjwNaRWROUnfaCIiIiIT1D80zOGaVsoL76X83nWcXLgUgNTeTrbXHGNH9TG2/+pH5KYnhLmlIiJTR6FSRERE5CVyznGusYvdL4xUafWHtG78HdbXn+YTu7/LjgtHWXX1HJEuCAUFoEApInPcrAyVZvYt4E1Ag3Nulb8uA/gBUAhUA+9wzrWamQH/C3gD0AP8nnPuSDjaLSIiIrNPS/cAe6qa2FPZSHllE5fb+wAoDiTyjtJcdpRksbniFyR97UvX5lQCJCR4xXpEROa4WRkqgW8Dfwt8N2TdZ4D/dM49Zmaf8R9/Gng9UOLfNgHf8O9FRERkvhujYuvAO9/lDWn1Q+TJS+04B6nx0WxfGmB7SYDtSwPkZYScgVyxEyK5afVXEZG5ypxz4W7DhJhZIfB0yJnKs8C9zrnLZrYI+LVzbrmZ/Z2//P0bt7vZ/ktLS11FRcWUvgcREREJI79iq+vp4VxmLrsL17Nnyd3sX7KenqB5VVrz09lREmDHsixWq0qriMwzZnbYOVd6q+3CeqbSzJKBVcDqkXvn3G9NcHcLRoKiHyyz/fU5QF3IdvX+upuGShEREZm7WroH2PvNf6H8Fb9PeeE6LqdkAVDcXM/bz/yG7Y98gs3FGSTHRYe5pSIiM9+0hUozu4uQ8Ojf5wEGdAAngeem4kePsW7M07NmVgaUAeTn509BU0RERCQcBoaCHKm9NqT1xMV23Lb3k9LXxfbqY3x035Nsv3CUvI4GMIMf/UW4mywiMmtMS6g0sx8B9wMDQBeQCTwF/DfgOedczST8mKtmtihk+GuDv74eL7yOyAUujbUD59zjwOPgDX+dhDaJiIhIGHhVWrtHQ+T+8830DAyPDmn9769axo5PfoC7jpV7VVpD6T+WRURuy3SdqXwj3hnAbwPRwBeAj+NVaf3lJP2Mp4CHgMf8+x+HrP+ImT2JV6Cn/VbzKUVERGQGG6O4Djt3ekNaq5rYU+ld7uOSX6W1KJDI2+72q7SGDmn9ow9A2SFVbBUReZmmK1T+GfAD59wwMAx81sx2AX8HnDazDznnfvJSd2Zm3wfuBQJmVo8XUh8Dfmhm7wdqgbf7m/8U73IiVXiXFHnv5LwlERERmXZ+cR16euiPjOKwS2HPP/6K8qokTvZF4RykxEWxdUmAj7wyix0lN1RpDTVSmVUVW0VEXpawV381sw/ihc5ngI86566GtUE+VX8VERGZWZxzVK7ZSnlsNuWF6zmQt4remDiihodY31zNjp1vYHtJgLty01SlVURkErzU6q9hD5UAZrYQ+N/A651zyeFuDyhUioiIzARNXf3srWpi9wtN7Klq5GpHPwDFzXXsqD7GjgtH2Vx3gqTBPggGb7E3ERG5HbPikiIAZpaDNyR1AzDO+BQRERGZD/oGh6movlal9fTlDgDSEqLZtjTAPf/wF2yv+E9yOhuvf2FBQRhaKyIiEKZQaWaRwJuB3wdeA1wEfgP8l3C0R0RERKbYOMV1nHOcudI5GiIPXmihfyhIdKRxd0E6n3ztcnaUBFi5ONUb0ureBAeeun7fKq4jIhJW0xoqzWw58H7gPXhVYP8ZeKVzrtzMVqFQKSIiMveEFNcBaGjqoPyv/i976hIoH0qmqcsb0lqSncTOTQXsKAmwqTiDhJgx/kxRcR0RkRln2uZUmlk5cDfwE2AX8BPn3GDI8yvxrlkZOS0NugXNqRQREZkcvUtKOOBS2FO4jvKidZzNKgQgs6+T7ZuXs31pgB0lWSxMjQtvQ0VE5DozcU7lNuBJ4GvOub3T+HNFRERkGgWDjtOXOyj3rxdZ8da/YCAqmpihATbWn+KtJ3/Fjuoj3NlYQ8TfDIe7uSIi8jJNZ6hcD3wAeNrMWoEngF3OueensQ0iIiIyBS639/ohsom9VU20dA8AcMfCZB6q+g07jv+GDfWniR/qv/YiFdcREZkTpi1UOueOAR82sz8C3o43t/JzZnYM+B5wcrraIiIiIi9Pd/8QBy40+5f6aKKqoQuArORY7l2WxY5lAbYtDZCdHAdZdfDzxyE0UKq4jojInDHt1V+dc314IfJ7ZrYUrwLsJ4GFQPgvmikiIiIvMjQc5Hh9O3urvBB5tLaVwWFHbFQEm4ozeWdpHjuWBVi+IBkzu/7FKq4jIjKnTVuhnps2wrvEyJuA9znn7g93e0CFekREZH5zzlHV0MWeqib2VjWz/3wzXf1DmMGqxalsXZrJPSVZ3F2QTlz0jKixJyIik2wmFuoZl3NuGPixfxMREZEwuNLex96qptGzkQ2d3nDVgswE3rx2MduXBthSnEl6YkyYWyoiIjPJjAiVIiIiMv06+gY5cL5lNESOzIvMSIxh29IA25Zksm1pgLyMhDC3VEREZjKFShERkblm164x5y8ODAU5Wts6GiKP17czHHTER0eysSiDd5bmsW1pgDsWJhMRYbf+OSIiIihUioiIzC27dkFZGfT0EMQ422Ps/fqP2XMhkQP9cfQODhNhsCYvjQ/du4RtSwOsy08jNkrzIkVEZGIUKkVEROaQ+ke/wt6l29hTsJZ9BWtoTkwDYMnFK7zjdZvYtjTA5iWZpMRFh7mlIiIyVyhUioiIzGJtPQM8e67Zr9LaRPWbvwRAdmczr7hwhK01x9hWc5xFXS3wjWCYWysiInORQqWIiMgs0jswzOGaVvae80LkiYvtOAdJsVFsLs7goWe+w/ajv2Rpcx3XzYosKAhXk0VEZI5TqBQREZkJblJc53h9G/uqmtl3romjtW0MDAeJijDW56fz8fuWsb0kk7ty04iOjICoV8O+f7p+3wkJ3v5ERESmgEKliIhIuIUU1xm2CE71R7Pvm0+z70Iih/ziOmawanEq791WyJYlmWwozCAxdoxf4zt3evdjBFQREZGpYM65cLdhRiotLXUVFRXhboaIiMxxzjleWLuVfdFZ7Mu/i/35q+mMSwJgWdsltr5hK1uWZLK5KJPUBBXXERGR6WNmh51zpbfaTmcqRUREppFzjprmHvad84az7j/fTNPrPw9AQesl3nRmD1tqn2Nz7XNk97TDN1VcR0REZjaFShERkSl2ub3XnxPZzLPnmrjU3gfAgpRY7inJYss3H2PLkV+S29F4/QtVXEdERGYBhUoREZGJGqe4TnNXP/vPt7DvXBP7zjVzoakbgPSEaLYsyeSDSwJsXZJJcSARM4Oh34ay/3f9vlVcR0REZgmFShERkYkIKa7TEZPAwagF7PvuXvZVJnOmLxLwLvOxqSiDnZvy2bokwB0Lk4mIsBfvS8V1RERkFlOhnnGoUI+IiIynvXeQivveyv64BezPW82pBcUEIyKJHexnQ/N5tjz0FrYuyWR1TipRkRHhbq6IiMiEvNRCPQqV41CoFBGREe29g1RUt7D/fDP7z7dw6lI7QQcxQwOsu3SWzbUn2Fx7gvWXnic2OAxBFdcREZHZT9VfRUREJmjcEBkVwfr8ND56XwmbP/sh1h7dTdzw4PUvVnEdERGZZxQqRURkfhmjuE7777yDQxf8EHmhmVOXOnA3hsjiTNbmpREX7c2X5Op7oexZ6AkJlSquIyIi85BCpYiIzB9+cZ32YeNQ8Qb2569m/3+2cOrEz3DYaIj82Fgh8kYqriMiIgJoTuW4NKdSRGTuaO8d9M5Efu7L7E8r4NSCYpxFEDM0wPqLZ9jcUcfmr37p5iFSRERkntGcShERmbeau/o5VN3KwQstHKwOGc66dAfrL57hY3u/z+baE6y9dNabE2kGxV8Pd7NFRERmJYVKERGZ+caYBxk6zPRSW68fIFs4eKGFqoYuAGKjIlgXOpz1VZuIu3DuxfvPz5+udyIiIjLnKFSKiMjM5s+DpKcHAFdTw4VPfYGDLTEczC7hYHUL9a29ACTHRlFamM7vrM9hU1EGq3JSiY0KGc76pT+5bl+AiuuIiIi8THMuVJpZNdAJDANDzrlSM8sAfgAUAtXAO5xzreFqo4iIvHTDn/88Z5IWcPDOVRzKXcnBvJU0JabDRQi0N7KxKIP3by9iY1EGdyxMITLCxt+ZiuuIiIhMujlXqMcPlaXOuaaQdX8OtDjnHjOzzwDpzrlP32w/KtQjIhIeA0NBTlxs94azXmim4vgFOuOSAMhpv8qmulNsrDvJhounKW6sxewmIVJEREQmTIV6rnc/cK+//B3g18BNQ6WIiEyPnoEhjta2+SGyhaN1rfQNBgFYmp3Eb9cfZePzB9hQd4qczsZrLywo8ArsiIiISFjNxVDpgGfMzAF/55x7HFjgnLsM4Jy7bGbZYW2hiMh8ME5xnYaOPipqWqmobuVwTQunLnUwFHREGKxYnMKDGwvYWJTBhsJ0MpNiYUE9/PtXNQ9SRERkhpqLoXKbc+6SHxx/bmZnXuoLzawMKAPIVyVAEZGJ84vrBHt6qQzkU5F2J4f/6TiHziRTN+gVzomLjmBNbhp/8IpiNhRmcHdBOslx0S/el+ZBioiIzGhzbk5lKDP7ItAFfAC41z9LuQj4tXNu+c1eqzmVIiK3r3dgmGN1bRz+b5+jInExR3LuoMOfDxnoaqW0tZrS//ogpYUZrFiUQkxURJhbLCIiIuOZl3MqzSwRiHDOdfrLrwH+FHgKeAh4zL//cfhaKSIydzR09nG4utUbzlrTyqmL7QwFHdz1ZkqaanjjmT2U1p+m9OJp8tuueEV1dn0+3M0WERGRSTSnQiWwAPhXvxJgFPCEc+4/zOwQ8EMzez9QC7w9jG0UEZmVgkFHVWMXh6pbRoNkbYs3zzE2yhvKWnZPMaWF6ax/82+RVvn8i3eiqQUiIiJzzpwKlc6588CaMdY3A/dNf4tERGavjr5Bjte1caSmjaN1rRypaaWjbwiAzMQYSgvTeffmAu4uTGfV4tTrh7J+4WEoK1NxHRERkXlgToVKERGZmGDQca6xiyO1rRytbeNIbSuVDV045121oyQ7iTesXsTdBemUFmZQmJlw8+tDqriOiIjIvKFQKSIyD7X3DHK07lqAPFbXRqd/FjI1Ppp1+Wm8cfVi1heksSYvjZSxqrLeys6dCpEiIiLzgEKliMhsN871IEcMBx2VDZ1egKxp5UhtK+cauwGIMFi2IJk33bWY9flprMtPpziQSETETc5CioiIiIRQqBQRmc3860GOzl2sqaH1o3/I0Y4oji5Zy5HaVo7XtdPV752FTE+IZl1+Om9dl8P6/HTuyksjKVa/CkRERGTi9JeEiMgs1vs/vsip9AKOrVjGc4tKOL5oGTXpi6EGIuvOccfCZN6ybjHr89NZl59+67mQIiIiIrdJoVJEZJYYGg5S2dDF8bo2jte3cbyunbO/+xWGIyIBWNTRyJrLL/DO48+w7vJZ7nrhCIk6CykiIiJTTH9tiIjMQM456lt7OVbXxvG6Np6rb+fExXZ6B4cBSImLYk1eGh98/hnWnDnEmsuVZHe3XttBQQEoUIqIiMg00F8cIiIzQHNXP8/Vt3Osro3n6ts4Xt9OS/cAADFREaxcnMI7N+SxNs+rxlqQkeAV04mrgrJ/1PUgRUREJGwUKkVEpllbzwAnLnpnHk/693UtvcC1a0Led0c2a/LSWJuXxrIFycRERYy9M10PUkRERMLMnHPhbsOMVFpa6ioqKsLdDBGZ5Vq7Xxwg61t7R5/PTY9ndU4qa/PSuCs3jdW5qarGKiIiIjOCmR12zpXeajv95SIiMkla/AB58mI7J/w5kBfbrgXI/IwE1uSmsXNTAatzUlmVk0JaQkwYWywiIiLy8ilUiohMQHNX/3VnH09e7LguQBZkJrA2P413b/ED5OJUUhOiw9hiERERkamhUCkichMjVVhPXerg9OUOTl/q4PSldi61941uU5iZwLr8NN7jB8iVOamkxitAioiIyPygUCki4usfGqbyapcXHP0A+fzlDjr7hwCIMFiSlURpYQarclJYlZPKysUKkCIiIjK/KVSKyLzU1jNwXXg8fbmDqoYuhoJe8bKEmEjuXJTCW9blsGJxCisWpbB8YTJx0ZFhbrmIiIjIzKJQKSJz2nDQUdvSw9krHdeFyNDhqwtSYlmxKIX77sxmxaJUVixOuXYdSBERERG5KYVKEZkTnHM0dvVz9konZ690csa/r2zopG8wCHjDV5dmJ7GhKIMVi1JYsTiFOxelEEiKDXPrRURERGYvhUoRmXW6+4c4e7WTF0LC49mrnbR0D4xuE0iK5Y6FyezcVMDyhcncsTCZZQs0fFVERERksilUisiMNTgcpLqpezQ4nrnSydmrHdS1XLt0R0JMJMsWJPOaFQtYvjDZuy1IJlNnH0VERESmhUKliIRd3+AwF5q6qWzooupqJ5UNXVQ2dFHd1D1aOCcywigKJHJXbhrvuDvPP/uYQm56vOY+ioiIiISRQqWITJvu/iHONXZRebWLqpH7hk5qW3rwsyMRBgWZiSzNTuI1KxawNDuJ5QuTWZKVpKGrIiIiIjOQQqWITLrW7gHON3VR1XB9gLzYdm3YanSkd+Zx5eJU3rw2h5LsJEoWJFGYmajwKCIiIjKLKFSKzHe7dsHDD0NtLeTnw6OPws6dt3xZ3+AwNc09nG/s4nxTNxeaujnf2MWFpm5aewZHt4uNimBJVhKlhem8KzuPpdnJLM1OoiAzgejIiKl8ZyIiIiIyDRQqReazXbugrAx6erzHNTXeY4CdOwkGHZfae/3A6AXHc35wvNjWi3PXdrUgJZaiQCKvX72I4kAiRYFESrKTyUmPJ1JzHkVERETmLIVKkfns4YcJ9vRyJTlAdfoiatMWUZO2iJqfnOd8424uNHXTPxQc3TwxJpLirCTW56fztrtzKc5KojiQSGEgkaRYfZ2IiIiIzEf6K1BkHugfGqa+tZfa5h5qmrupbu6htqWHmld/hrrUBQxExYxuGzU8RF77VYrT4tm+NEBxVhJFgUSWZCWSlRyLmc46ioiIiMg1CpUic4BzjraeQepbe6lr7aGmuYfalm5qmr3lS+3XD1VNiIkkPyOBkp4mXlV1kPzWyxS0Xaag7QqLOhqJys+Dx6vD9n5EREREZPZQqBSZBZxztHQPUN/ay8W2Xupbe6hv7fVvPVxs7aV7YPi612QmxpCfmcCGwnTyM3MpyEigMJBAfkYigaQY74zjrjoo+5/X5lQCJCR4xXpERERERF4ChUqRGWA46Gjs7Ody+0ho7OVi6/XhsXfw+tCYEhdFbnoCBZmJbFsaIDc9gdz0eHLS4inITCA5LvrWP3ikyusEqr+KiIiIiACYCx0TJ6NKS0tdRUVFuJshc8DQcJCGzn4ut/dxpb2Py+29L1pu6OxnOHj9v8W0hGhy0uLJTY+/LjDmpieQkx5PavxLCI0iIiIiIhNkZoedc6W32k5nKkUmyDlHR+8QDZ1eKGzo7KOho5+rHf3XBceGzj5uyIvER0eyKC2ORalxbF0SYHFaHAtTvceLUr0g+ZLONIqIiIiIhJlCpcgNhoaDNHcP0NDRT2OXFxRHQmNjp7/c0U9jVz8DIZfbGJEQEzkaDneUBFiUGsfC1HhvXVoci1LiSYmPUhVVEREREZkTFCplXwQL5QAADudJREFUzhsOOlp7BmjpHqCpq5+Wbm+5uWtgdDl0fUvPAGONCk9LiCYrKZbslFg2FmWQnRxLln/LTo4jOyWW7ORYkmIVGEVERERk/pg3odLMXgf8LyAS+Afn3GNhbtLst2vXtBZ4CQYdnf1DdPQO0tYzSHuvd2vrHRhdbu/xnmvpHqC52wuKbb2DY4ZE8IJiRmIMmYkxFGclUlqYQVZSDFkpcaMBciQ8xkZFTtl7ExERERGZreZFqDSzSOBrwKuBeuCQmT3lnDsd3pbNYrt2QVnZtUtR1NR4j2HMYDkcdHT1D9HdP0RX/xCdfdeWu/r8+5BbZ98QbT0DXoD0A2NH7+CL5iaGiomMIDUhmtR4LyguW5BMZlIMGYmxZCbGjIbHjCRvOT0hhujIiCnoHBERERGR+WNehEpgI1DlnDsPYGZPAvcD8zJUDgcdg8NB/+YtDwzd8Hg4yOCQ97hvcJhe/9Y3OEzvwDC9T+yld8M76IuOpTc6lr6oGHqjYun7+WV6O/Z52w8M0+kHyZ4brqE4ntioCJLjokiKjSI1IYbUhBgKMhNJjffCYlpCNCnx0aT5j1MTokmLjyE1Ppq46AgNOxURERERmWbzJVTmAHUhj+uBTWFqy4Rcbu/lfd+uwDlH0DmCDoLO4fz7oHMEg/jPM7qNc45h5xgedgwMBxkKuhddumJCVr+R2MF+4oYGiB/qJ36wn7jBfuKH+omLivBCXkwkybFeQEzyg+LIcmJslPdcXBSJMVEk++t05lBEREREZHaZL6FyrNNXL0pWZlYGlAHk5+dPdZtuS1REBLnp8UQYRJgRYYaNLuM/vrYcEcF1jyMjjJjICKJHblE3PI40YqJueBwZQXRUBPHRkcRFRxAXHUl8dCTxMZHELi8hsrr6xQ0tKIDvfWLa+0dERERERMJjvoTKeiAv5HEucOnGjZxzjwOPA5SWlk7C6bzJk5Ucy9+/55bXHZ0+jzxy/ZxKgIQEr1iPiIiIiIjMG/NlrOEhoMTMiswsBngAeCrMbZrddu6Exx/3zkyaefePPz6l1V9FRERERGTmmRdnKp1zQ2b2EeBneJcU+ZZz7lSYmzX77dypECkiIiIiMs/Ni1AJ4Jz7KfDTcLdDRERERERkLpkvw19FRERERERkCihUioiIiIiIyIQpVIqIiIiIiMiEmXMz6soZM4aZNQI14W7HGAJAU7gbMQ+p38NHfR8e6vfwUd+Hh/o9fNT34aF+D5/Z1PcFzrmsW22kUDnLmFmFc24GXbByflC/h4/6PjzU7+Gjvg8P9Xv4qO/DQ/0ePnOx7zX8VURERERERCZMoVJEREREREQmTKFy9nk83A2Yp9Tv4aO+Dw/1e/io78ND/R4+6vvwUL+Hz5zre82pFBERERERkQnTmUoRERERERGZMIXKWcLMXmdmZ82sysw+E+72zEVmVm1mJ8zsmJlV+OsyzOznZlbp36f7683M/rf/eTxnZuvD2/rZw8y+ZWYNZnYyZN1t97OZPeRvX2lmD4Xjvcw24/T9F83son/cHzOzN4Q891m/78+a2WtD1uv76DaYWZ6Z/crMnjezU2b2MX+9jvspdJN+1zE/xcwszswOmtlxv+//xF9fZGYH/OP3B2YW46+P9R9X+c8XhuxrzM9EXuwm/f5tM7sQcsyv9dfru2aSmVmkmR01s6f9x/PnmHfO6TbDb0AkcA4oBmKA48CKcLdrrt2AaiBww7o/Bz7jL38G+LK//Abg3wEDNgMHwt3+2XID7gHWAycn2s9ABnDev0/3l9PD/d5m+m2cvv8i8Ikxtl3hf9fEAkX+d1Ckvo8m1O+LgPX+cjLwgt+/Ou7D0+865qe+7w1I8pejgQP+sfxD4AF//TeBD/rLHwK+6S8/APzgZp9JuN/fTL3dpN+/DbxtjO31XTP5n8EfAk8AT/uP580xrzOVs8NGoMo5d945NwA8Cdwf5jbNF/cD3/GXvwO8JWT9d51nP5BmZovC0cDZxjm3G2i5YfXt9vNrgZ8751qcc63Az4HXTX3rZ7dx+n489wNPOuf6nXMXgCq87yJ9H90m59xl59wRf7kTeB7IQcf9lLpJv49Hx/wk8Y/dLv9htH9zwCuBf/bX33jMj/xb+GfgPjMzxv9MZAw36ffx6LtmEplZLvBG4B/8x8Y8OuYVKmeHHKAu5HE9N//FKBPjgGfM7LCZlfnrFjjnLoP3BwqQ7a/XZzK5bref1f+T6yP+0KdvjQzBRH0/JfwhTuvwziDouJ8mN/Q76Jifcv4wwGNAA14oOQe0OeeG/E1C+3G0j/3n24FM1Pe37cZ+d86NHPOP+sf8X5tZrL9Ox/zk+hvgU0DQf5zJPDrmFSpnBxtjncr2Tr5tzrn1wOuBD5vZPTfZVp/J9Bivn9X/k+cbwBJgLXAZ+Iq/Xn0/ycwsCfgX4OPOuY6bbTrGOvX9BI3R7zrmp4Fzbtg5txbIxTvTcudYm/n36vtJcmO/m9kq4LPAHcAGvCGtn/Y3V79PEjN7E9DgnDscunqMTefsMa9QOTvUA3khj3OBS2Fqy5zlnLvk3zcA/4r3S/DqyLBW/77B31yfyeS63X5W/08S59xV/4+QIPD3XBtmo76fRGYWjRdsdjnnfuSv1nE/xcbqdx3z08s51wb8Gm/OXpqZRflPhfbjaB/7z6fiDdVX309QSL+/zh8K7pxz/cA/omN+KmwD3mxm1XhD5F+Jd+Zy3hzzCpWzwyGgxK8gFYM3ofepMLdpTjGzRDNLHlkGXgOcxOvnkapnDwE/9pefAt7jV07bDLSPDGOTCbndfv4Z8BozS/eHrr3GXye36Ya5wG/FO+7B6/sH/Ap1RUAJcBB9H902f57M/wGed879VchTOu6n0Hj9rmN+6plZlpml+cvxwKvw5rT+Cnibv9mNx/zIv4W3Ab90zjnG/0xkDOP0+5mQ/7wyvDl9oce8vmsmgXPus865XOdcId53xC+dczuZR8d81K03kXBzzg2Z2Ufw/kFHAt9yzp0Kc7PmmgXAv3rft0QBTzjn/sPMDgE/NLP3A7XA2/3tf4pXNa0K6AHeO/1Nnp3M7PvAvUDAzOqBLwCPcRv97JxrMbMv4f2xB/CnzrmXWoBm3hqn7+81r7y8w6uA/AcAzrlTZvZD4DQwBHzYOTfs70ffR7dnG/Bu4IQ/1wngc+i4n2rj9fu7dMxPuUXAd8wsEu8Exg+dc0+b2WngSTN7BDiKF/rx779nZlV4Z2segJt/JjKm8fr9l2aWhTe08hjwX/3t9V0z9T7NPDnmzQvFIiIiIiIiIrdPw19FRERERERkwhQqRUREREREZMIUKkVERERERGTCFCpFRERERERkwhQqRUREREREZMIUKkVEZF4xs2ozc2b27XC3ZTYysy/6/afy8SIiAihUiojILOBfCPq/m9mzZtZuZr1mVmlm/8fM7gx3+6aSmX17JMSZ2T/e8NzI+r8MV/tEREQUKkVEZEYzs3TgWeCvgM14v7sqgQDwPuC14WvdtHu3ma0IdyOmmpnFhLsNIiLy0ilUiojITPe3wDp/+S+BDOfcXc65dOCVwImRDc1su5n9zD+b2W9mZ83sYTOLHm/nZlYYcsbv90LWXzdM9obtPmFmPzKzHjM76f/cdWZ20My6zWyPmS0P2dfI2cZqM3u7mZ3xt9sdut1LEAk8erMNQtr4xZB1v/bX/XqM7f7cP+PbZWbnzeytZlZkZr/w23jMzDaP87O2mdkRM+szs+NmtuOG5zeY2dNm1uJ/HifM7L3jtPcv/H5qB35wG30iIiJhFhXuBoiIiIzHzFKBd/gPjwOfcs6NzuVzzv0qZNt7gZ/j/W5rA6qBZcAjwCrgXZPYtEeAS0AQWAn8C95/1LYA0cA24Fv+fagcYBdwDogHdoyz3VjagWbgLWa2yTl34OW/DQA+CjQBA0AR8ARwOeT5NcCTZrbUOTd0w2v/HagHHHAX8FMzW+KcazCzrcCvgBigAajC+xy+ZWYZzrmvjNGOIeA80D9J701ERKaBzlSKiMhMtoxr/wFaHhoox/An/rZ1QLFzbjnwZf+5B8xs9SS26zfAEuDj/uNs4N9u+JlbzSz+htdFAb/rnLsT+JubbDeWIeAL/vJjE275i1XhvZeR8B6HN7x4CV7QAygAlo7x2j90zq3AC8UOSAI+7D/3CF6g3A3kOudWAp/3n/uCmcXdsK8OYLlzbjWw8+W+KRERmT4KlSIiMpNZyPKtqo1u8O//wznX6i8/EfJ86aS1Cn7iB9zqkHX/z78/H7Iu+4bXtTvnRrY7fZPtxvME8Bxwr5lN1lzSZ5xz/Vz/XkbeX+h7WTDGa38A4Jw7ghdEwTsbCbDJv78HGPCrxT7ir0vGO8Mb6l+cc/X+/oYn8D5ERCRMNPxVRERmsrN4Z+iigO1mZrc4Wwm3Dp832z4yZDn1Jq/p8O+HxlgXur/QUAzesNwRQzfZbkzOuaCZPYwXYP/sFptP9Xu50XjPX8I7e3yj4A2Pr9xi/yIiMkPpTKWIiMxYzrl24If+w3XAn5nZ6H+Imtk9ZvZK/+Eh//71fsVYgAdDdlcxzo9pCFle4u/3XiDtZTR9yjjnngb2AOvH2WTk/Yy8l6VcO3s42d7u/4y1XBsee9K/H/k8LgH3Oec2O+c2A78N/I1z7ugUtUlERKaZQqWIiMx0HwFGAshngBYze87MmvDmNt7lP/cFvLNtecB5MzsLfNp/7knn3AnG4JzrxbtkCcAnzOxXeGcCbzyTNpN89ibP/ad//y4z+w2wn6n7ff/XZnYK2Id3prIb+Lr/3OeBQbxhx5fN7KiZ1eKdkZzMOaEiIhJmCpUiIjKj+fMjtwJ/BBz0Vy8DOoHvAM/42/0a+C3/cQReJdMXgD8G3nOLH/N7QDleKM3BC7JjDdmcEZxze4CfjPP0H/rPdeH1wZfxzmxOhTfiVWqNxLu0yxudc1dD2rgDeBqvX0eur/kTvM9ERETmCLv11BQRERERERGRselMpYiIiIiIiEyYQqWIiIiIiIhMmEKliIiIiIiITJhCpYiIiIiIiEyYQqWIiIiIiIhMmEKliIiIiIiITJhCpYiIiIiIiEyYQqWIiIiIiIhMmEKliIiIiIiITNj/B1GBDQP06+tuAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, axarr = plt.subplots(2, sharex=True)\n", "\n", "# relation between column number and wavelength\n", "axarr[0].plot(cols[w], fitparams[w, 0], 'ro');\n", "axarr[0].plot(xs, np.polyval(c, xs));\n", "axarr[0].axes.set_xlabel('Column Number')\n", "axarr[0].axes.set_ylabel('Wavelength ($\\AA$)')\n", "\n", "# plot the relation again with the linear term removed\n", "remove_order = 1\n", "axarr[1].plot(cols[w], fitparams[w, 0] - np.polyval(c[-(remove_order + 1):], cols[w]), 'ro');\n", "axarr[1].plot(xs, np.polyval(c, xs) - np.polyval(c[-(remove_order + 1):], xs));\n", "axarr[1].axes.set_xlabel('Column Number')\n", "axarr[1].axes.set_ylabel('$\\Delta \\lambda$');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now that we have a mapping from counts to wavelengths, we can apply this to the full spectrum." ] }, { "cell_type": "code", "execution_count": 69, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# apply the wavelength solution to the extracted spectrum\n", "wavs = np.polyval(c,xs)\n", "plt.plot(wavs, spec_opt);\n", "plt.xlabel('Wavelength ($\\AA$)')\n", "plt.ylabel('Counts');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Determine redshift of target" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The spectrum is now extracted and wavelength calibrated, so we are finally ready to do some science!\n", "\n", "You should notice a number of strong emission lines in the spectrum. In particular, there is a very strong line around 7300 angstroms. What is a strong line that you might expect from a galaxy in the optical band? Using the observed wavelength and the known rest (laboratory) wavelength for this line you can determine the galaxy's redshift. \n", "\n", "To get a precise measurement of the line center, we need to fit a model to the data. A simple Gaussian fit should do for our purposes, so we need functions to generate the model and to evaluate how good the fit is so that we can find the best fitting parameters." ] }, { "cell_type": "code", "execution_count": 70, "metadata": {}, "outputs": [], "source": [ "def get_line_model(params, ys):\n", " a1, cy1, sigma1 = params\n", " \n", " p1 = np.exp(-(ys - cy1)**2 / 2 / sigma1**2) \n", " p1 /= p1.max()\n", " \n", " return a1 * p1 \n", "\n", "def get_line_chisq(params, ys, profile):\n", " model = get_line_model(params, ys)\n", " w = profile > 0\n", " return np.sum( (profile[w] - model[w])**2 / np.sqrt(np.abs(profile[w])) ) / (profile[w].size - len(params))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Limit the fit to the wavelengths dominated by the strong line and determine the central wavelength." ] }, { "cell_type": "code", "execution_count": 71, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/scr2/mhankins/miniconda3/lib/python3.7/site-packages/ipykernel_launcher.py:5: RuntimeWarning: invalid value encountered in true_divide\n", " \"\"\"\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Optimization terminated successfully.\n", " Current function value: 40956.707128\n", " Iterations: 183\n", " Function evaluations: 353\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "minwav = 7250\n", "maxwav = 7280\n", "w = (wavs > minwav) & (wavs < maxwav)\n", "\n", "guess = (1e5, 7268, 4)\n", "params = fmin(get_line_chisq, guess, args=(wavs[w], spec_opt[w]), maxiter=10000)\n", "\n", "tempwav = np.linspace(minwav, maxwav, 100)\n", "model = get_line_model(params, tempwav)\n", "\n", "plt.plot(wavs[w], spec_opt[w], drawstyle='steps-mid', label='extracted spectrum');\n", "plt.plot(tempwav, model, label='model')\n", "plt.xlabel('Wavelength ($\\AA$)')\n", "plt.ylabel('Counts')\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Determine the redshift (Note this is the H-alpha line!)" ] }, { "cell_type": "code", "execution_count": 72, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "redshift is z=0.1073\n" ] } ], "source": [ "z = params[1] / 6563 - 1\n", "print('redshift is z={:0.4f}'.format(z))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are many more lines in the spectrum; you can use these to test/refine your redshift." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Flat field data (Optional) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To this point we have not corrected the data for pixel-to-pixel efficiencies (in other words, we have not flat-fielded the data). For many tasks this is actually not required, but if you have *good* flat field exposures available, flat fielding can improve the output data quality.\n", "\n", "The key for spectroscopy is to note that the CCD response is wavelength dependent (you wouldn't use a U-band flat to process an I-band image, right?), and with spectra there are many wavelength bins to account for. Just as with photometry, we do not care so much how many counts we get in a given wavelength bin, we can just determine the average number in each wavelength bin and then divide by this average to get numbers close to 1." ] }, { "cell_type": "code", "execution_count": 73, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# load in the flat\n", "flat = fits.getdata(os.path.join(data_dir,'spec_flat.fits'))\n", "\n", "# display\n", "ds9.set('frame 2')\n", "ds9.set_np2arr(flat)\n", "\n", "plt.plot(np.median(flat, axis=0));\n", "plt.xlabel('Column Number')\n", "plt.ylabel('Counts');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice that the average counts vary considerably with wavelength and there are even a few line features present in the data (there is air between the light source and the camera, and air can emit and absorb light!\n", "\n", "Since we already know the relative wavelengths for each pixel, this is no problem. We can fit a spline to this profile (which is marginalized over slit position) to determine the typical number of counts in each wavelength bin and then divide each pixel by the appropriate value from the spline fit to normalize the counts." ] }, { "cell_type": "code", "execution_count": 74, "metadata": {}, "outputs": [], "source": [ "# fit a spline\n", "x = lambdafit.ravel()\n", "y = flat.ravel()\n", "weights = np.sqrt(np.abs(y)) \n", "wsort = x.argsort()\n", "x, y, weights = x[wsort], y[wsort], weights[wsort]\n", "t = np.linspace(x.min() + 1, x.max() - 1, nx)\n", "spl = LSQUnivariateSpline(x, y, t, weights)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# **********************\n", "# save the flat spline\n", "#pickle.dump(spl, open('flat_spl.dat', 'wb'))\n", "# **********************" ] }, { "cell_type": "code", "execution_count": 75, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# plot the spline\n", "#plt.plot(x, y, 'ro');\n", "plt.plot(x, spl(x))\n", "plt.xlabel('Wavelength ($\\AA$)')\n", "plt.ylabel('Counts');" ] }, { "cell_type": "code", "execution_count": 76, "metadata": {}, "outputs": [], "source": [ "# normalize the flat field \n", "normflat = flat / spl(lambdafit)" ] }, { "cell_type": "code", "execution_count": 77, "metadata": {}, "outputs": [], "source": [ "ds9.set('frame 1')\n", "ds9.set_np2arr(flat)\n", "ds9.set('frame 2')\n", "ds9.set_np2arr(normflat);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can now divide the science images by this normalized flat to correct for pixel-to-pixel differences." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Flux Calibration (Optional) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Sometimes you may also want to scale the counts (by a wavelength dependent function) to determine the flux densities in each wavelength bin. To do this, you need to observe a target with a known flux density spectrum. A number of such calibrated standard stars are available and should be observed. Typically you cannot observe your target and a standard star simultaneously, so you need a photometric night in order to get the absolute scaling right. However, even with clouds you can often get the *relative* flux densities of your target." ] }, { "cell_type": "code", "execution_count": 78, "metadata": {}, "outputs": [], "source": [ "# extract standard star spectrum as above\n", "stdimage = fits.getdata(os.path.join(data_dir, 'spec_std.fits'))" ] }, { "cell_type": "code", "execution_count": 79, "metadata": {}, "outputs": [], "source": [ "# mask to mark sky rows\n", "stdskymask = np.ones(stdimage.shape, dtype=bool)\n", "stdskymask[objrows, :] = False\n", "\n", "# also exclude bad rows\n", "stdskymask[badrows, :] = False\n", "\n", "# median (unmasked) sky spectrum and standard deviation\n", "medspec = np.median(stdimage[skyrows, :], axis=0)\n", "stdspec = np.std(stdimage[skyrows, :], axis=0, ddof=1)\n", "\n", "# exclude deviant pixels from the skymask\n", "pull = (stdimage - medspec) / stdspec\n", "w = pull > 3\n", "stdskymask[w] = False" ] }, { "cell_type": "code", "execution_count": 80, "metadata": {}, "outputs": [], "source": [ "stdskyfit = fit_sky(lambdafit[stdskymask], yvals[stdskymask], stdimage[stdskymask])\n", "stdsky = stdskyfit.ev(lambdafit, yvals)" ] }, { "cell_type": "code", "execution_count": 81, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1" ] }, "execution_count": 81, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ds9.set('frame 1')\n", "ds9.set_np2arr(stdimage)\n", "ds9.set('frame 2')\n", "ds9.set_np2arr(stdsky)\n", "ds9.set('frame 3')\n", "ds9.set_np2arr(stdimage - stdsky)" ] }, { "cell_type": "code", "execution_count": 82, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# select which rows to sum\n", "w = (slitpos > -10) & (slitpos < 10)\n", "ymin, ymax = yvals[w].min(), yvals[w].max()\n", "\n", "# calculate the sum\n", "std_spec = (stdimage - stdsky)[ymin:ymax, :].sum(axis=0)\n", "\n", "# plot the extracted spectrum\n", "plt.plot(wavs, std_spec)\n", "plt.xlabel('Wavelength ($\\AA$)')\n", "plt.ylabel('Counts');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The supplied standard star is called Feige 67. You can get a table of its flux densities from ESO (and other sources)." ] }, { "cell_type": "code", "execution_count": 83, "metadata": {}, "outputs": [], "source": [ "# Download the data from ESO\n", "dtype = []\n", "dtype.append( ('wav', float) )\n", "dtype.append( ('flux', float) ) # units are ergs/cm/cm/s/A * 10**16\n", "dtype.append( ('eflux', float) )\n", "dtype.append( ('dlam', float) )\n", "calspec = np.genfromtxt('ftp://ftp.eso.org/pub/stecf/standards/okestan/ffeige67.dat', dtype=dtype)" ] }, { "cell_type": "code", "execution_count": 84, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(calspec['wav'], calspec['flux']);\n", "plt.xlabel('Wavelength ($\\AA$)')\n", "plt.ylabel('$10^{16} * F_{\\lambda}$');\n", "plt.yscale('log');" ] }, { "cell_type": "code", "execution_count": 85, "metadata": {}, "outputs": [], "source": [ "# fit a spline to the tabulated spectrum\n", "t = np.arange(calspec['wav'][1], calspec['wav'][-2], np.int(np.median(calspec['dlam'])))\n", "stdflux = LSQUnivariateSpline(calspec['wav'], calspec['flux'], t, calspec['eflux'])" ] }, { "cell_type": "code", "execution_count": 86, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# get the counts to flux density ratios in each wavelength bin\n", "# exclude significant line features (fluxes near these depend on spectral resolution)\n", "ratios = std_spec / stdflux(wavs)\n", "w = (wavs > calspec['wav'].min()) \\\n", " & (wavs < calspec['wav'].max()) \\\n", " & (np.abs(wavs - 7650) > 70) \\\n", " & (np.abs(wavs - 6900) > 40) \\\n", " & (np.abs(wavs - 6563) > 40) \\\n", "\n", "# fit a spline to the ratios to determine the response function\n", "t = wavs[w][1:-2:25]\n", "respfn = LSQUnivariateSpline(wavs[w], ratios[w], t)\n", "\n", "plt.plot(wavs[w], ratios[w], 'ro')\n", "xwav = np.linspace(wavs[w][1], wavs[w][-1], 1000)\n", "plt.plot(xwav, respfn(xwav));\n", "plt.xlabel('Wavelength ($\\AA$)')\n", "plt.ylabel('Response Function (counts/$F_{\\lambda}$)');" ] }, { "cell_type": "code", "execution_count": 87, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# compare the tabulated and extracted flux densities (applying the response function)\n", "plt.plot(calspec['wav'], calspec['flux'], label='Tabulated (published) Spectrum');\n", "plt.plot(wavs, std_spec / respfn(wavs), label='Extracted Spectrum')\n", "plt.xlim(5300, 9200) # standard star values are only tabulated out to ~9200 A\n", "plt.ylim(0, 1000)\n", "\n", "plt.xlabel('Wavelength ($\\AA$)')\n", "plt.ylabel('$F_{\\lambda}$')\n", "plt.ylim(50, 1000)\n", "plt.yscale('log')\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "Now apply the response function to the target spectrum to get the flux calibrated spectrum." ] }, { "cell_type": "code", "execution_count": 88, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(wavs, spec_opt / respfn(wavs))\n", "plt.xlim(5300, 9200)\n", "plt.xlabel('Wavelength ($\\AA$)')\n", "plt.ylabel('$F_{\\lambda}$');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Removal of telluric features (Optional) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The Earth's atmosphere strongly absorbs light in bands near 7600 angstroms (A-band) and 6900 angstroms (B-band), and also in a number of other bands particularly in the near-IR. These bands can be seen in the spectra of our standard star. The target spectrum is also absorbed in these bands. We can correct for this by measuring the fraction of the standard star's light absorbed as a function of wavelength compared to an extrapolation of the standard star's continuum across these bands. We can then scale this absorption strength to match the fractional absorption in the target spectrum and thus divide out the telluric absorption. This works well as long as the atmospheric conditions remain similar." ] }, { "cell_type": "code", "execution_count": 89, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "tell_spec = (std_spec / respfn(wavs)) / stdflux(wavs)\n", "w = (np.abs(wavs - 7650) < 70) | (np.abs(wavs - 6900) < 40)\n", "tell_spec[~w] = 1\n", "\n", "plt.plot(wavs, tell_spec)\n", "plt.xlim(5300, 9200)\n", "plt.ylim(0, 1.1)\n", "plt.xlabel('Wavelength ($\\AA$)')\n", "plt.ylabel('$F_{\\lambda}$');" ] }, { "cell_type": "code", "execution_count": 90, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# correct the target spectrum for telluric absorption\n", "plt.plot(wavs, spec_opt / respfn(wavs), label='uncorrected')\n", "plt.plot(wavs, spec_opt / respfn(wavs) / tell_spec, label='corrected')\n", "plt.xlim(5300, 9200)\n", "plt.xlabel('Wavelength ($\\AA$)')\n", "plt.ylabel('$F_{\\lambda}$')\n", "plt.yscale('log')\n", "plt.ylim(1, 2000)\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, you can compare your extraction to the [published](https://ui.adsabs.harvard.edu/#abs/2016ApJ...830...13P/abstract) extraction of these same data. The published spectra are posted to the [Weizmann Interactive Supernova Data Repository (WISeREP)](https://wiserep.weizmann.ac.il)." ] }, { "cell_type": "code", "execution_count": 91, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# download the published spectrum\n", "dtype = []\n", "dtype.append( ('wav', float) )\n", "dtype.append( ('flux', float) )\n", "dtype.append( ('sky', float) )\n", "dtype.append( ('eflux', float) )\n", "dtype.append( ('xpix', float) )\n", "dtype.append( ('ypix', float) )\n", "dtype.append( ('resp', float) )\n", "url = 'https://wiserep.weizmann.ac.il/system/files/uploaded/general/PTF12dam_2014-04-30_10-33-34_Keck1_LRIS_None.spec'\n", "pub = np.genfromtxt(url, dtype=dtype)\n", "\n", "plt.plot(wavs, spec_opt / respfn(wavs) / tell_spec, label='my extraction')\n", "plt.plot(pub['wav'], pub['flux'] * 1e16, label='published')\n", "plt.xlim(5300, 9200)\n", "plt.xlabel('Wavelength ($\\AA$)')\n", "plt.ylabel('$F_{\\lambda}$')\n", "plt.yscale('log')\n", "plt.ylim(0.01, 2000)\n", "plt.legend();" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "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": "3.7.3" } }, "nbformat": 4, "nbformat_minor": 2 }