{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Example of NIRDust application\n", "The example imputs are two Flamingos-2 (Gemini South) $K_{long}$ band longslit spectra of NGC 5128 (Centaurus A) a Seyfert 2 galaxy.\n", "\n", "The spectra correspond to:\n", "\n", "1) A nuclear spectrum extracted in an aperture of 1\"x 1\" (slit width = 1\").\n", "\n", "2) An off-nuclear spectrum extracted at 3.34\" distance from the nucleus and in an aperture of 1.08\" x 1\".\n", "\n", "These spectra can be found in the examples folder of the Git-Hub repository for Nirdust.\n", "No flux-calibration has been performed over these spectra.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For this simple aplication example we only need to import nirdust, and matplotlib to see the spectra at diferent steps:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import nirdust as nd\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Read the spectra from the FITS files and store them in two separate NirdustSpectrum objects\n", "Note that the redshift for this galaxy is 0.00183 (source: NED)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "WARNING: FITSFixedWarning: RADECSYS= 'FK5 ' / R.A./DEC. coordinate system reference \n", "the RADECSYS keyword is deprecated, use RADESYSa. [astropy.wcs.wcs]\n" ] }, { "data": { "text/plain": [ "NirdustSpectrum(z=0.00183, spectral_length=1751, spectral_range=[18889.58-25106.71] Angstrom)" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "target_spectrum = nd.read_fits(\"nuclear_spectrum.fits\", z=0.00183)\n", "reference_spectrum = nd.read_fits(\"external_spectrum.fits\", z=0.00183)\n", "\n", "target_spectrum" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The spectra before any pre-processing procedure look like this:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(-10.0, 4000.0)" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, axs = plt.subplots(1, 2,figsize=(12, 4))\n", "axs[0].plot(target_spectrum.spectral_axis, target_spectrum.flux, color=\"mediumvioletred\", label=\"Target Spectrum\")\n", "axs[1].plot(reference_spectrum.spectral_axis, reference_spectrum.flux, color=\"mediumblue\", label=\"Reference Spectrum\")\n", "axs[0].legend(loc=2, fontsize=12)\n", "axs[1].legend(loc=1, fontsize=12)\n", "axs[0].set_xlabel(\"Wavelength ($\\AA$)\", fontsize=12 )\n", "axs[1].set_xlabel(\"Wavelength ($\\AA$)\", fontsize=12)\n", "axs[0].set_ylabel(\"Intensity [arbitrary units]\", fontsize=12)\n", "axs[0].set_ylim(-10, 4000) #setting ylim for better display, the noise rises higher than the limit at the end of spectra\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Cut the borders of the spectrum where the noise is too high\n", "\n", "K-band spectra must be cut taking into account two factors:\n", "In one hand, spectrum quality often drops in the borders of the spectral range due to detector response and atmospheric transmission. Special attention must be payed to bad telluric absorption correction, which commonly affects the beginning of the K band between $\\sim$ 1.95 and 2.1 $\\mu$m. In the other hand, in $K_{long}$ spectra, the beginning of the CO absorption band causes significant continuum absorption between 2.3 and 2.5 $\\mu$m and hence the information of the dust presence is lost. Aditionally, in the case of this set of spectra, high levels of noise are present in the spectra beyond 2.4 $\\mu$m." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "start, end = 20600, 22700 # wavelengths in A\n", "cut_target = target_spectrum.cut_edges(start, end)\n", "cut_reference = reference_spectrum.cut_edges(start, end)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Once the spectra are cut the obtained result is:\n" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Intensity [arbitrary units]')" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, axs = plt.subplots(1, 2, figsize=(12, 4))\n", "axs[0].plot(cut_target.spectral_axis, cut_target.flux, color=\"mediumvioletred\", label=\"Target Spectrum\")\n", "axs[1].plot(cut_reference.spectral_axis, cut_reference.flux, color=\"mediumblue\", label=\"Reference Spectrum\")\n", "axs[0].legend(loc=2, fontsize=12)\n", "axs[1].legend(loc=1, fontsize=12)\n", "axs[0].set_xlabel(\"Wavelength ($\\AA$)\", fontsize=12) \n", "axs[1].set_xlabel(\"Wavelength ($\\AA$)\", fontsize=12)\n", "axs[0].set_ylabel(\"Intensity [arbitrary units]\", fontsize=12)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Remove spectral features\n", "\n", "The Reference Spectrum is quite featurless although is quite noisy, but the Target Spectrum presents some emission or noise features that could be auctomatically detected and removed.\n", "'line_spectrum' will detect the features down to some certain 'noise_factor' and provide the mask and the spectrum of the detected lines:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "WARNING: The fit may be unsuccessful; check fit_info['message'] for more information. [astropy.modeling.fitting]\n" ] } ], "source": [ "target_lines, target_line_intervals = nd.line_spectrum(cut_target, noise_factor=5.5)\n", "reference_lines, reference_line_intervals = nd.line_spectrum(cut_reference, noise_factor=3.5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The spectrum of the detected features in each case is a NirdustSpectrum object and can be plotted for inspection:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Intensity [arbitrary units]')" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, axs = plt.subplots(1, 2, figsize=(12, 4))\n", "axs[0].plot(target_lines.spectral_axis, target_lines.flux, color=\"mediumvioletred\", label=\"Target line spectrum\")\n", "axs[1].plot(reference_lines.spectral_axis, reference_lines.flux, color=\"mediumblue\", label=\"Reference line spectrum\")\n", "axs[0].legend(loc=2, fontsize=12)\n", "axs[1].legend(loc=2, fontsize=12)\n", "axs[0].set_xlabel(\"Wavelength ($\\AA$)\", fontsize=12 )\n", "axs[1].set_xlabel(\"Wavelength ($\\AA$)\", fontsize=12)\n", "axs[0].set_ylabel(\"Intensity [arbitrary units]\", fontsize=12)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The mask for each spectrum is stored in the second output of line_spectrum and can be used as input for the class method \"mask_spectrum\":" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "masked_target = cut_target.mask_spectrum(line_intervals=target_line_intervals)\n", "masked_reference = cut_reference.mask_spectrum(line_intervals=reference_line_intervals)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Intensity [arbitrary units]')" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, axs = plt.subplots(1, 2, figsize=(12, 4))\n", "axs[0].plot(masked_target.spectral_axis, masked_target.flux, color=\"mediumvioletred\", label=\"Target line spectrum\")\n", "axs[1].plot(masked_reference.spectral_axis, masked_reference.flux, color=\"mediumblue\", label=\"Reference line spectrum\")\n", "axs[0].legend(loc=2, fontsize=12)\n", "axs[1].legend(loc=1, fontsize=12)\n", "axs[0].set_xlabel(\"Wavelength ($\\AA$)\", fontsize=12)\n", "axs[1].set_xlabel(\"Wavelength ($\\AA$)\", fontsize=12)\n", "axs[0].set_ylabel(\"Intensity [arbitrary units]\", fontsize=12)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The last step in the pre-processing of the spectra is to match the spectral axes of both spectra to match the spectral resultution (not necessary in this example) and to homogenize the masked points:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "final_target, final_reference = nd.match_spectral_axes(masked_target, masked_reference)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The final spectra result:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Intensity [arbitrary units]')" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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XRWU+McawcuVKRowYAcSfJ53zwvLlyxOeo5YuXcqqVauizm3BYJC99tor1Y8jCj1Pd+15urs93Uo7uOiii9hyyy2ZP38+1dXV3H777VH+L4hO2D548OAoe8jy5ZFsi/379yc3N5fvv/+eyspKKisrqaqqCv/AMlnoYNiwYdx4443h/VZWVlJfX8/JJ5+csP+ll17KzJkz+eGHH5g3bx5/+tOfEr6n2tpaNm7cyJAhQxg2bBj77LNP1D5qa2u599576d+/Pzk5OSxcuDBuX8ned2x7fn4+9fWRons//vhjuz4DpXvwFUWiJJ2xlwTrmgnWJ87z3WKLbl+/vA5vX+k4FRVZbNyYONJtjAnbSlKNLzQ1WRdnGunu/eyzzz6cddZZXH311YB1Ljr99NOjzhN1dXVcd911CdcfNmwYb775ZlT/xsZGhg6NZC52nyuGDRvG/fffH9W/oaGB3Xffvc2xDhs2LOE5atiwYWFrhfOoqalJGp3vKHqezgwqunsRNTU1FBUVUVBQwJw5c7j33ntb7X/CCSfw6KOPMnv2bOrr6/nNb34TXubxeDj//PO54oorWLvWmvW/cuVK3n7bmpc6cOBANmzYQFVVVdrfx/nnn899993HZ599hjGGuro63njjDWpqauL6fvHFF3z22We0tLSQn59PTk5OVJRh6tSp/Pe//6W5uZlf/epXTJ48mWHDhnH44Yczb948nnjiCVpaWmhpaeGLL74Ie+3OOeccrrzySlatWkUwGOTTTz+lqamJ8vJyPB4PixYtavU9bL/99kybNo1ly5ZRVVWV8mx4pXvx5EUi3QQ7Humed/YLLLoy8UmuZY0luv1lKrq7g113zefbbxvZsCFeeN9//3o++8w6Cafq0XZSBboj3Zs2BWhoUI93b+Tyyy/n3Xff5euvv+a0007jtdde4+233yYYDNLY2MiHH36YdC7ThRdeyI033hi2h6xbt45XXnkl6b4uvPBCfve73/H9998DUFVVxfPPP5/SOM877zzuuOMOZs6ciTGGBQsWsHTpUnbZZRcKCwv5wx/+QENDA8FgkO+++44vvvii7Y22Az1PZwYV3b2IO+64g6effprCwkLOP/98TjzxxFb7H3LIIVx66aXst99+jB07lsmTJwOEPVF/+MMfwu1FRUUccMAB4RyeW265JSeffDKjR4+mpKSkzewl7WHSpEk8+OCDXHLJJZSWljJ27NjwpJVYqqurOf/88yktLWXEiBH069ePX/7yl+Hlp5xyCr/+9a8pKytj5syZPPnkkwAUFhbyzjvv8OyzzzJkyBAGDRrEtddeS1OTlbHgjjvuYJtttmHnnXemrKyMa6+9llAoRF5eHjfeeCN77LEHJSUlCf1rAAceeCAnnngi2267LTvttBOHH3542j4fJYO4fNydiXS3rK2j5ovEJ+bmH+1Id1lqnkIlvZx+ehktLYb//c/6Htz+7iefjMy7b2xM7ft3xLY70l1W9g077zwnHcNVupjy8nLOOOMMbr31VoYNGxae7FheXs6wYcP405/+RCiJ9eyyyy7jyCOP5KCDDqKwsJDJkyfz2WefJd3XMcccw7XXXstJJ51EUVERW2+9NW+++WZK4zz++OO58cYbOeWUUygsLOToo49m48aNeL1eXn/9dWbNmsWoUaPo378/5513XtoDZHqezgwSa0/oi0yaNMnMmDEjrn327NlMmDChG0bUPcyePZutt96apqam8Izf3sxZZ50VNbO8L7G5/TYzTagpgCfbx5rHvmTxNW8BkL/jELZ566wObe/rfR6kYfY6Ji28Cl9h9MSeZbd/yKq7PmHAmTsw+k+HdHboiMhMY8yktnv2HZIds1tDxEqn9t13E9h669k899woCgo8HHroQj76aBx7713I7rvP5dNP6wB44YVRHHtsaZvbHTPmOxYtaqaiws/y5dtE7cuYHds1xr6KHq+UZGyO5+nWjtka6e7jvPTSSzQ1NbFp0yauvfZajjjiiD4huBUlVWq/XMXnw/5I5fuLMLalxFuU3bnsJfa6DbPXxS+yi++YgNoPugOfz/J1BgKG99+3boX/73+W0HbHmNob6daJlIqidBYV3X2c+++/nwEDBjBmzBi8Xm+bPnBF6WvUfmVZoza9NS8shPMmlIcFeEdw1q2fvTZuWajBsjOYFhXdXclf/1rBSSeV4vdborulxeDMqzIGamuDTJ9eF+4fW9Y9GDScf/5SfvghOr+0008nUiqK0lk05NnHeeutt7p7CBkjmb9MUdx48q3Jk8H6lrDoliwf1DS3tlrr2Hq6PlGku9ER3Vo2vCu55JIBXHIJLFtmfa+BQEQkBwKGyy+P9uA3NkZfFM2b18hDD23gf/+r44cfJobbnewlibzdiqK0jp6no9FIt6IofRpvnlUQJ1TXHJ486cnydipPt7HtJQkj3Y22vaRZRXd34LjnAgGorra+4w0bAvz4Y3SKx9hIt5O/2y3WIV5sa9YSRVE6ymYf6TbGZDQntaK0l2Qz55X20TB/PYFNjXhyrMNcsL4lnCZQsrydKwMfFt3r4o4h4Ui3erq7Bbe9ZN0667tYuzZA7GE+NtLtLHeLbmNMlL3EGKOiOwl6LlU2JzqahGSzjnTn5OSwYcOGDn94ipJOjDE0NzezcuVK8vPzu3s4vZ6v93iA7w//ZzgqHaprDgthT7YXOiG6nSh5sLKRlh+jK5Y5nu5QH450i8gSEflWRGaJyAy7rUxE3hWR+fbfUrtdROQeEVkgIt+ISEZTfrgnUjq5utetC8QJwljR7USy3aI7GLT84H6/YIz1WkV3PHouVTYnjDFs2LCBnJycdq+7WUe6KyoqWLFiBevWxfsyFaU78Pl8FBcX079//+4eSq+mZWOkChm20A7Wt1gTID2CeD1hMd4hQobsESU0La2kfvZasgYXRhaFI919V3Tb7GeMWe96fR3wH2PM70XkOvv1tcAhwDj7sStwr/03Iziiu6XFUFNjfQdVVUHy86NjTLH2Ekd0r18fCEdtHT93YaGHjRuDtLRopDsRei5VNjdycnKoqKho93qbtej2+/2MGjWqu4ehKEqaaV5ZHX7uZBpxIt3iFfAIdNLTnb/VAEt0/7COkv3HhJdtxp7uo4B97eePAx9iie6jgH8aKww6XURKRGSwMWZ1Jgbh2EsCAUNtrfUdV1UFqajwR/VrbLTsIldcsYKTTy7DKaDX0GC46661XHHFwLAwLyjwsnFjkOZmQ0ODRnNj0XOpoqTGZm0vURSlbxKobAw/d7zbQXsipfg8VqS7k55uf788/IMK4iZTOpHuUN9OGWiAd0RkpohcYLcNdAnpH4GB9vOhwHLXuivstowQHemOiO5Yu3FDQ4jZsxu5++51nHfe0qisJK+/bl20OZMoCwo84W1qpFtRlI6yWUe6FUXpe4QaWlh0xdTwa8fHbYIhO9LtAa90KE93sL6FDS9+b/m1PULehAFxaQM3k5SBexpjVorIAOBdEYmqiW6MMSLSrqsaW7xfADB8+PAOD8zrtf5ake6IvSTW011XF+LDDy0//oQJOVHFb/LyrL6OvcQR3c3NIerrVXQritIxNNKtKEqfYuVd/6NpWWX4tSOuTdBY2Ut8HsQjHZpIuezW91l05VSClY2IR8ibUE7D/PVRmUqMU5GyD4tuY8xK++9a4CVgF2CNiAwGsP86twBWAsNcq1fYbbHbfMAYM8kYM6m8vLzDYxMRfD4rKl1bG8Lrtfzbzc3RYrm2NsjKlVZO74qKrCjRnZ9vKfdIpNt6rZFuRVE6Q5eIbhF5RETWish3rrZ/2TPfZ9kz4WfZ7SNFpMG17D7XOjvZM+YX2LPhNT+RoihRNC2P+Lk9ub6IIA7YkW7HXtLOTAtV/13CmkdmRhrsSLdpCtK4aGO4ORLp7pviTETyRaTQeQ4cBHwHvAqcaXc7E3jFfv4qcIadxWQyUJUpP7eDzydUV4cwBoYOtYojOTm7HWprQ9TVWW0tLSbKXuJMuox4uuPtJU5EXVEUJVWS2ktE5JwUtxEwxvyzjT6PAX8Dwv2MMSe69vVnoMrVf6ExZvsE27kXOB/4DJgKTAHeTHGciqL0UTb9ZyEF2w7CX55PsD5SadKT44/YS0IGEwxZUW5v+yLdwdpmFl0+FcnxYWxRLV4PeROtiGz97LXkjrcyzmwG9pKBwEt2zMMHPG2MeUtEvgCeE5FzgaXACXb/qcChwAKgHjg70wP0+4XKSut7GDrUz7JlzXz2WV1Un9raiFWkudnE2Es84XZw20sMjY1Wm1NMR1EUJVVa83Q/AHycwjZ2xiWmE2GMmSYiIxMts6PVJwD7t7YN+3ZlkTFmuv36n8DRqOhWlD5PoLqR1X+fztCr98Ljjw4xmmCIuSf/i9wt+rPdxxcQqo9UHjQhEy6IE/Z02/aS9ni6l/32A5qWVzLi1gNY+qv3rEYRcsf1B49QP3sd/Y6yhb0t8vtqnm5jzCJguwTtG4CfJGg3wMVdMLQwPp+waZP1+W+zTS6ffloXlyKwtjYYFel2209ycmI93RF7iRMR1/usiqK0l9ZEd4MxZr+2NiAimzo5hr2ANcaY+a62USLyFVAN3GSM+RhrtvsKV59WZ8Cna1KOoijdz7Jb3mftk7PI23og/Y6YELXMEbkNc62U0cE6V7nvYAjjFDsJmnD2EjypZy+p+t9S1jwyk0EX7EzRHiPC7eIRPDk+ckaXUv+DNZnSHd3WipTdhxXptr6LAw8s5KOPapg7tymqj9te0twcirKXBO2vMdZe0twcEd0enRGlKEo7ae2wkWrVsJ07OYaTgWdcr1cDw40xOwBXAk+LSFF7N5quSTmKonQ/jUsrAfAWZMcvjClyE6pvpnTKeAZftGtU5NkEItlLxJtanu5gbTOLLnuD7JGlDLthXzxZrii7xwp1WhlM1ob34bAZ5unuMfh8EdFdWOhlwoT4ynFue8lTT23izjsjqR+bmw2ff17H669X2duIeLwjkW4NdSuK0j6SRrpjIs9JMcYs6OjORcQHHAvs5NpeE9BkP58pIguB8Viz3d3lfxLOgFcUpe/Rst7y43py4w9ZsRHrYF0Lnjx/OC2g20ZinOwlKebpXnabZSuZ+MppePP8VpTcRryO6C5n42tzCNY2h/clWV6C1U1MH/y7cP+cUaVs/8mF7XjXSkdx20sKCjwUF1sXS1lZEvZpu+0lAF9+2QBYtpGmphC77jo3vKyszPrd1dWF1F6iKEqHSSlPt4hcCbxvjJllzz5/DggCpxhjPu3E/g8A5hhjwrYRESkHNhpjgiIyGqt08CJjzEYRqbb3/xlwBvDXTuxbUZReQss6S3QnyghiYiLWofpmvPl+Kx930MRFn8VrT6Rsowx81f+WsuZh21Yy2bKoiT9xpBugfu46ckaUADDw7J3w5vvBlSHFV5qX4rtVOovfL6xbZ9mM3KL78MOLefHFSsCqSFldHX83oqDAEzWpEqC01Fq/ri6YsugOhQwejypzRVEipFoc5wrgYfv574C/ADXAXcCuba0sIs9glQfuLyIrgJuNMQ8DJxFtLQHYG7hVRFqAEHChMcbJx/VzrEwouVgTKHUSpaL0UIwxVP9vKUV7jOj0rfjA+nprm4l80gkj3VmIE+l2rROqb7HsJW1MpAzWuWwl1+8Tbhe/K9LtiUS6ARrmrCO7ohiA3LFlDDwzVYeekm58PsLl2gsKvJSUWKJ5wIDoU97atYG4dfPz40W3O9IdCLQtuletambo0O949NERnHVWP4wxvPZaFYcfXhwW4p98Ukt5uY9x4+KtL4qi9E1SnQpSbIypsnOzbgf81RbNW6SysjHmZGPMYGOM3xhTYa+LMeYsY8x9MX1fMMZsZYzZ3hizozHmNdeyGcaYrY0xY4wxl5j2JtpVFKXLWPvELGYf+zQbXpmdtm06Qnn6oN+x6MqpUW1gCX0n0o1HwEQL9WB9iz2R0l6W5BDiZCsZc89hePOzwu1ue4kT6c4eWYonz0/97HXhiZRR/ZQux++PKOKCAk/Yvl9e7uOVV0Zz6aXWhVIi0V1Q4G0l0h094TIZ33/fCMDjj28A4NlnN3HUUYv4+98j1Uv32GMe48f/0I53pShKbyfVM8NyEdkdKzI9zbZ+FGFZTBRFUeJoXGAJjuaV1W30TJ2wvSRkWPvkLKvNFekONQTAYEe6rcObe0JjqL45XBwHSJiru/oT21Zy3qSwrcTBbS9xIt3iEXK36E/97LXh8YlPK6d0Jz5ftOjesMES1/36+TjyyBJ23TU/6br5+Z5wqkCHRJ7uYCtnP8crnpVljePHHy2ry+LFVg75RFUtV6xo5qmnNsa1K4rSd0jVXvJL4N9AM3Cc3XY48HkmBqUoSu/H2J7psMDtDEI4ah1nMXF5s0N2YRxvvp9gjZMvO+Ba3oI3Pys8CdIEQ1FR6WBdMwtd2UrihpEg0g2Wr3vTO/MjEyn9GunuThzRLQK5uR522sny0zti20kBGIvHY/WPt5fER7qDrUzEXbPGEtmO6HYK6TjWlMWLI+kLW1oMfr9wwAHzmTu3iWOOKQkX51EUpW+R0n+2MWaqMWaIMWakMcapg/w8cETmhqYoSm8mbPtIR+U+W+CaQJBgTXS+Zbe9xMnR7cnPCidSdke6g3XN1nicZTHCafltH9K0LN5W4pAo0g2Wrzuwvp7m1TXWMrWXdCuOvSQ/34PHI5xzTj8WLdqKyZMd0Z34TkRWlpCdLXGiOy/PQ3a2UF0d5D//sb5jR0AnYvVq63foiH/nr7POokWRqqnLl1vPly61/sZG2RVF6Tukmr1kozGmzN1mjGkRkbXAgIyMTFGU3o0taCUNGRysiY8GEzAEqhqjlpkkke6ALfZDTS57SUPAtpfYY3KtW/3JUn58aAaDzo+3lYTH4Y5gu6qjOJMp67750eqnortbccStE40WEUaNiuR4Txbp9vuFrCyJy2qSlSXk53v4858jubyDQWtOQKJJwmvWWHdXqqstAR0rup0S9QA1NdH7amgIUVqawptUFKXXkeqZwR/bICJ+QI2LiqIkJGy16KS9ZMmv3g17pU0wRLDainR7C+xItCtaHY50R3m6IwInWN8czl4CkXSDbdlKHNwCS2LsJQB139qi26+Hxu7kiy+sbDdOBpNYkonurCxLdDs5vh38fkt0x5LM1+0U3XG85A4B+6W7JH1trf3btpuSjVlRlN5Pq5FuEfkYMECOiEyLWVwBfJKpgSmK0rsJR6DbaS9ZfN3bbHx1Njv9cDkAP97/RWSbLUEC1Vak22OLbneebnekmwSRboLGEuPOmGzBvvy2D2laahfBSWArSYhLdPvL8/H3z6Pu2zVAmnzsSsZIZi/JzfWQlSVs3BitpkUSi+5AwERN2nRwRLUjuh3LiBPpdovuqqogoZAJi+7Gxsjv+aOPapg9u5ELL9SqyorSF2jLXvIQ1hSmnYnk6QZLiK8B3s/QuBRF6e0EOzaRcs0j1rSRplXVZA8pilpmAiGCVXakuzA7aj8QiXR787Mi0eyYcuzu7CUmGIq2leyW2FaSiFjbTO6EAVR/vMRaphMpewRHHlmcsD1ZpNsS3R42bUqcSjCWZL7u5mZLODvivbHRRPV3+7YPO2whRx5Z7Ip0R5btu69VGFpFt6L0DVoV3caYxwFEZLoxZk7XDElRlL5AeIJjklzYi66aSr+jJ1K818io9qzBhTSvrqHmk2Vk/3Tr6G0GQuFIt2MvcU+kDNU79hJ/WFi7s5cAVkoLWzAHa1KzlUSvjxV2iIng500sV9HdQ5g9eyINDSF22CFxFdBEUWuAnBwhJ0cS2kacqpZuktlLnEh2fX2IxsZQOHrtZD5xR7oBXn21Kjz5U+0litJ3SSq6ReR0Y8wT9svd7TzdcRhjHsnIyBRF6dU4YjhRFcmWdXWsfWIW61/8gV0WXx21LKuimObVNTQsTJCzOOD2dGfb+3FHuh17SVZYFJummEi3V8KCfNlv3m+3rUS8HkwgFBfpdkfl1V7SvWy5ZetVHp1UfrHk5nro3z/xadEpkOOmrOxrqqu3wxhrm5WVQQYM8EdlP9mwIRCOXjviO1Z0Q6RQk9te4qAl5RWlb9BapPtkwBHdpyfpYwAV3YqixGN7uhOJ7vo5VmW+nFEJ0jTY6zUuihfdJhAi2BCxkLj7A2FBHh3pjglHeiScvWTj63OtIjjtsJXgFQgQVwdcslzpBHUiZY8mUcYRgJwcD4MGxeUNAAiXkncTCsFxxy3m7bermTKliLfeqsaYHeNEt2MvqalxRHf8/0Qie4lDXV2IwkL9TSlKbyep6DbGHOp6vl/XDEdRlL6CE4EOV5F00TBvPQC54/vFLQs1WXaQxkUb48q0G1ekG3H2E9l+oLIBAG+ey9PdZKUJdMS/eCP2kuwRJQy7cd92vS/xCIZ4T3dUDm9NGdhrGD48i2XLrDskubkeBg1KfFpMZC8BePttq+LqW29Zf5uaQjQ1hcjKsvJ9b9gQDEevnawmTU2GvDwPjY0hQjH/HolEd22tim5F6Qu068wgIgNEZLT7kamBKYrSuwnbS1rija+BSsuX7SvJjVvmiO6WjQ2Yxmg/dpTotgW5214SqGxEsr2W6HVFuiXbJaQ8gr9/PniFMXcnLoLTGmHriLeVSHcfF90i4hWRr0Tkdfv1T0TkSxGZJSL/FZGxdnu2iPxLRBaIyGciMrJbB56Ad94Zy4QJlh0lN1eSRrqTBMfjqKkJ0dxsGDzY2o470u0I6qYmQ3a2VYjHIZK9JN56UlvbSs15RVF6DSmdGURkioisBH4EFrge8zM4NkVRejNOpNsViZ533ousfvALQraYTlQ4x1kW3NRA0J4Y6WACwXBxnHBKQpe9JLCpISyiHQtJqDmINzciusXjoeSAMUz64XKKdh/R/vdli+7YsXvcke6+P5HyMmC26/W9wKnGmO2Bp4Gb7PZzgU3GmLHAncAfunKQreGI6P79fYwfb80PyMnxhMXyDjvkhp9DYh92ImpqgjQ1mbA3vLY2MpHSmSTZ1BQiO1vIyor8Tlqzlzi5vBVF6d2kemb4O/AbIN8Y43E99H6XoigJiUS6I4Jh46tzWHrju4RsX7a7mmR4PUd01zZHotrOsoAhaGcvCXvGXffnW9bX4S2yJ9GFM5Q04S12TazzCCKCrzQ+yp4K4WqWsfYSl4ASX989NIpIBXAYVkpZBwM4M0mLgVX286OAx+3n/wZ+IskM1V3MPfdUAFBU5A1nDsnN9TBxYg733z+c//xnHIsXb0VDw/ZA+0R3c7MJe8CXLWvmmWc2AbGRbg8+1w0YFd2K0vdJVXSXAvcbYxoyORhFUfoOTn5sE4i/NR4W3cEEmRqaAmHrRtV/l0RvsyVIwBbijmB320ta1tbhK7ailo44jhXd0s5iPXHYYls80YfPzcjTfRdwDeD+8s4DporICqyJ97+324cCywGMMQGgCog38gMicoGIzBCRGevWrcvQ0CNccskAjNkRv1/Cojsnx7ogu+CC/pSW+sjO9pCTY32X55+fcNhx1NRYnm5HdH/6aV14mSOom5ste0mijCSOvcQ9n0HtJYrSN0j1zPAwcHZHdyIij4jIWhH5ztX2L9v/N0tElojILNey620P4FwROdjVPsVuWyAi13V0PIqiZB4na0gowUTKUIPt1Q5FBEbjskqaV9cQagyQNbAAgMVXvRm1nglGiuOEbSVBd6S7Hp8tsMOiOGjCbUBchLq9hAV1rL1kM/B0i8jhwFpjzMyYRVcAhxpjKoBHgb+0d9vGmAeMMZOMMZPKy7u2GIyTQjA3N/n3NmlSPsbs2Oa2nEi3M/FyxQprkubIkVmuiZQhW3THr19XF59WsLY2xMaNAT79tDZpQR5FUXo+qZ4ZJgP3isg8EZnmfqS4/mPAFHeDMeZEY8z2tgfwBeBFABGZCJwEbGWv8w970o4Xy+ZyCDARONnuqyhKDyRsK0mQMjDUGG0vWXnn/5g16R98ud1fMc1B/AMKEm8zEApHyQkZVj/wObN/+kx4ebCqEW+JLbBdEW0n+g2JfeTtwYlot5q9pO96uvcAjhSRJcCzwP4i8gawnTHmM7vPvwCnrsNKYBiAiPiwrCcbunTEKeC2l3QWZyJlfr5lH3EyoxxySBFNTYZQyITtJYki3WvXWr9vR3yDFS3v1+8bdt99HieeuDhc8VJRlN5FW2XgHR4i2r/XLowx05LNWrf9fScA+9tNRwHPGmOagMUisgDYxV62wBizyF7vWbvvDx0dl6IomcOxlSTK0x0b6W5eVWNFju3XnrzEGSRMIBSeaGmMYcUfP47rE450uwrUhH3e0PlIt7PdGH22OdhLjDHXA9cDiMi+wNXA0cCPIjLeGDMPOJDIJMtXgTOBT4GfAu+b2DyQPQDHZZ6T0/Zv49RTS9lmm1yuu25VwuXORMrsbCEvz0N1tfX7HzrU+k03Nprw8kSR7k8+qaO5ORSOigPMnFkffv7ii5UcffQiXnhhdFouEhRF6TpS+o81xjye7JGGMewFrDHGOJlQwh5AmxV2W7L2hHS1P1BRlGicSHf19OXUz14btSwc6XYynDQH8RZFotFlU8ZTdtgW8duMiXQnwhsW3a5Id4nb0905oeJEsWO3E20v6bsTKWOxvdrnAy+IyNdYnu5f2osfBvrZwZMrgR5pC1y1yvpNJSsP7+bJJ0dx7bWDki63It1Wnm5HFJeWeikqsn4Td965hvffryE724M3wfyC779vZJ995kdVpgy5fus33zyIt96q5tBDF1BTo15vRelNpJoy8JxkjzSM4WTgmTZ7tZPu9AcqihKJdNd/t4Zv9nkoamJYMCbSHWoK4HNFoz25PoZetWfcNkONgXDkPFHmE3AJbFcY0VuYHS6m01l7iceJYsdWpNw87CVhjDEfGmMOt5+/ZIzZxhiznTFmX+eOpDGm0RhzvDFmrDFmF6e9p7Hnnpad6dhjS1Je58MPxyVsr6oKEghAdrYnLLr79/eFn99002oAsrMFb5Jrs+nT68LVKwE2boyI6+uvH8STT47k449rOeigBVRWBhJtQlGUHkiq9pLYMvCDgDHA/+hEGXjb43cssJOrOewBtKmw22ilXVGUHkZcJUp3ufZNViIkJ91fqCmAJz9iKfFk+/AWxBetCdY2J9yem9g83WCXhfd7rYwqnc1e4kucp9udMtCjZeB7FddeO5Bf/KKc/PzUv7exY7Pj2rKyhI0bA+HneXnWb6KkxBtnBUmWvcRhyZJIusy1ayPCOjvbwymnlJGb6+HEExez//7zeeedceG84Iqi9FxStZfsF/OYAFwIzOjk/g8A5hhjVrjaXgVOsiuZjQLGAZ8DXwDjRGSUiGRhTbZ8tZP7VxQlQ4RivNxRqf3W2WnUQhF7idue4cnPSlgpMlgTESImyVyyRKLbm+cP+6w7myY6afYSFdq9FhFpl+AGS/zGUlDg4e67LTuj3x+xl+Tne8jNjf69FBV54zzdd99dwZQpVrrzBQsiv/X16+Oj2cccU8Krr45m9uxG9tlnHqtXt8T1URSlZ9GZe6CPYVUbaxMReQZrIs0WIrJCRJz1TiLGWmKM+R54DmuC5FvAxcaYoO0bvAR4G2uSznN2X0VReiCx5d/dEyqdiLUjxENNQSQrEqnz5vtTi3QnCHZ7HLHuUjSe/KyI/aOznm7brx2b79tdBl7p+7hLuAOcdFIphYWR38CyZc3hSHdenif83KGszBcnunfYIY/f/34IEC26He6+uyLq9ZQpxbz55liWLm1m773nhTOlKIrSM0npfpSIxJ6l8oDTgMpU1jfGnJyk/awk7bcBtyVonwpMTWWfiqJ0M3GR7gSh6XCkO4An2xXpzstCcuIPT1GR7iRJMBJGunP9kQmQnU4ZmDjSLRrp3qxwi+5Nm7YlP9/LjjvODrddeukAfv7zZYAV6XaXlAcoK/PG2Uvy8jwMHWr9fhcutAS01wtB+/r1Zz/rHzeOffct5L33xjFlygL22mse//nPWMaOzYnrpyhK95NqyCcAtLgeVcANwEUZGpeiKL2cWHtJonzd4Uh3czAqUuzNz0poAwnWuqJ/STzdTrpBd3YRyfZFbCGd9HQnm0jp0Uj3ZoWT2xugpMSH3y/hSPdZZ5UxZkx2lL1km21yo9YvLo63l+TmCmVlXkRg5UpLdDteba83UsQnlsmT8/ngg3HU14fYa695fP+9Fo9WlJ5IqqJ7FDDa9RhojBlujHk7YyNTFKXHENjUwNqnZrVrndiJlMt+80GCTnakuymIJzvaXpKIYI0lRCTHZ9tL4oV32AvunkiZ401a1KbdOKI7Zt8a6d68SHRR6IjsYcOs36CTJjA/34pqP/30SAYMsH7nfr/EpQzMy7MK5hQXe8Me7fJyX3hZa/MRdtghj48+GoeIsM8+8/jqq/qkfRVF6R5SnUi5NOaxPtMDUxSl57DwsjdYdMVU6r5bk/I6TspAh7VPzorv40oZGGUvSTCJEqwJl2BNjEyWMtDJgiJuT3e2L2mEur04EyZjLyo2hzSBSus41SRHj7Yym/TrZwlmJ//3ySeXccQRxQB4vfEpAx3RXlLiDRfVcUR3KjnEJ07MZdq0ceTne9lvv/l8+mltJ9+RoijpRM8SiqK0ScsGK2oWqkt9olZcysBEfWyft2UvaTvS7eDJ87edMtAXEdeS5QtHvmMnQLYXx6YSe1Ghke7Njz//eSj//e/48OvFi63/j+22s6wkpaXWb8ItrocMsX7bAwb4KC6O/s24i+k4OAI+1eqTY8fm8PHH4ykv93HggQv48MOa9rwlRVEyiIpuRVHaxInihlpSq4BnQiapKI7CmUgZG+nObV10e/P8SSdSOp5uT44r73eON2IrSdNEytjy9s72E00AVfomV145kD32KAi/dvzXEydaExkdodzUFPmt3nSTVdzmqKOKeeqpkRx3XEl4mdPfLbC33LL9kyKHD89i2rTxjBiRxSGHLOCtt6ravQ1FUdKPim5FUdrEsWaYlhBVHy2meXXr0bPYdIFJ+yWZSOlMgtx++oUU7z0ybj1vYXbySLcjuvNcojvLF04V2Oky8N7IZxHL2HuPYtsPz+vU9pXeywcfjOOVV0aHc3g7ubkbGiK/lawsD6eeWoaIMGRIFrfeOji8zJmc6U4XOG5ctFUlVQYP9vPRR+OZMCGHI49cxEsvVXboPSmKkj5SLQN/mYjE5ypSFGWzwLFOmOYgs49/hh+OfrLV/k4UuHjfUa1v2LiL48SLipzRZeSMKYtr9xblYEIm0TzKsCj25Ea2J9muSHdni+M4n0WCbCz9j9uK3NHx41U2D0aNyubII0vCr52IdWNj8rs+7iwoDu4KlCNGWHapww8vbvd4+vf38f7745g0KY/jj1/EU09tbPc2FEVJH6mGfPYHlojI6yJyoojE179VFKXP4lgqmn+0ItyNSytb7e8I0pL9x1Bx3d7J+wUjZeAl20vZkVtCrAZJIJK9hVlxke6t3z2b8Y8cG37ttqh4sn1hW0mnPd2OvSTFaL6y+bLttpa3e9dd85L2SSS677tvWPj59tvnMXPmlvzqV4M6NIaSEh/vvDOWvfcu4PTTl/Dgg5oHQVG6i1SzlxwFjADeBC4HfhSRh0Qk+dlUUZQ+gzN5sGmZ5Q31FbfuM3UEqfg9hOpaKU8dMpZADxo8WV7GP3Qsk9fcELPz6JeePL+VQSRGdOeOKaPs8C0j/VwTGz3ZvnAEvLMpAwt2tqoC5ozt16ntKH2fnXfOZ9GirbjgguQ3ihOJ7p/9rJyzzioLL9txx7y4QjrtoaDAyxtvjGXKlCIuuGAZd9+9tsPbUhSl46RsbjTGbDDG/N0YsxuwD7Az8IGILBGRG0WkoI1NKIrSS3EsFY1LNwG2p7oVnEi3+DyEGpKL7oZ5G1hywztW3wT2kkR487PAI9ZkTbe/JLbSiHv8Wd7IBMpORrrLT9zG8prvMaJT21E2D0aNym41v3aygjePPjqS5uYd0jaO3FwPL700mmOPLeHyy1dw++0/pm3biqKkRrtmFInIT0TkUeBDYA1wBnA6sANWFFxRlHZSM2Ml1dOXd/cwWiU20u0tbkN0t0REd7A+uegObGpgzWNf4h+QT/62qd0+9xZYojuuOE0rYlo8Esku0tnsJSLkqG9bSROJIt2ZIjvbw7/+NYrTTivjxhtXceONK5NmAVIUJf2kFFoSkTuAk7DKv/8TuMkYs9K1fDqwKSMjVJQ+zveHPg7A5LU3tNGz+whHuhdb/+a+khTtJT4vZYeMZ93TXyft6y3OYafvLku+75goobcwG3Ei3e5+bWQliaQM1KRNSs+hK0U3gM8nPP74CHJzhdtvX0NdXYg776xoNRqvKEp6SDUHUQ5wjDHmi0QLjTEtIjIpfcNSFKUnEqxqBNrOox22l/g9lB48jl3XXM+X2/2Vlh/jK+S5s4ykgseJdAdjInRtRbC96Yl0K0o66WrRDeDxCPffP5y8PA93372O+voQ9947PK4svaIo6aXNs52IeIFDgKta62eMmZOuQSmK0rNwyq+HXzfFZ+6o+XwF61/8Hk+2j9Ip44BIpg8RCVtUYvHmJS75HodHIGTwJYt0tyGmJU2ebiV8XpgBrDTGHC5WmPS3wPFAELjXGHOP3X43cChQD5xljPmyu8bdE+kO0Q3W/+Sdd1ZQUODlttt+pL4+xGOPjcTn0/8PRckUbYpuY0xQRIJY0e6mtvoritL3iC15nqgy5fI/TKP6k6UQNISarTzD4nMVvPElLpOeaqRbfB4rn3e+30ojmErFy6gdpSd7iQLAZcBsoMh+fRYwDNjSGBMSkQF2+yHAOPuxK3Cv/Vex6U5bh4jw298OIT/fww03rKK+PsQzz4wKF/dRFCW9pPqfdRfwnIjsIyJjRGS080hlZRF5RETWish3Me2/EJE5IvK9iPzRbhspIg0iMst+3Ofqv5OIfCsiC0TEiaIoymZL08pq6r5dw+oHPm91wmJnia2+6I50V09fzoZXfqDuq1UMOHV7PLk+6r9dA0Qi3QCSJILWllXFSRnoTJT05mVZke52TgCLRLpVUHQGEakADgMecjVfBNxqjAkBGGOcnHRHAf80FtOBEhEZjNKjuP76Qdx1VwUvvVTF0UcviqqgqShK+kjVTPk3+++BMe0GSBy+iuYxexv/dBpEZD+sA/J2xpgmV2QEYKExZvsE27kXOB/4DJgKTEGzpiibMd8f9jjNq6yCNcHqJiqu3isj+4mNbDuR7EBVIz8c9YR1JACK9x5J3azV1M5aDcREuv3JIt1tiG5nfZ8XCODJ8VnWkhQi3eMfOZaWDfXWC8fTrdfqneUu4Bqg0NU2BjhRRI4B1gGXGmPmA0MBd2qeFXbb6tiNisgFwAUAw4cPz8jAezLl5e2b25BuLrtsAPn5Hi64YBmHHrqAV18dQ2FhKqd3RVFSJaX/cmNMp0JDxphpIjIypvki4PfGmCa7T6vZ+u3oSJEdLUFE/gkcjYpuZTPGEdwAJmSombmSgh2HpF1YuiPdvtLccHaSQFUjGBh2/T70O2oC2aNKCdY0se6Zb/DkZ5G/VeRaOll2EW9eqqLbtodk+6ApEOfpToS7WI6kqSLl5oyIHA6sNcbMFJF9XYuygUZjzCQRORZ4BGjXFaAx5gHgAYBJkyZtVnnspk/fIlzuvTs577z+5OZ6OPPMJRx00ALefHMMJSXdezGgKH2J7rzPOh7YS0Q+E5GPRGRn17JRIvKV3e4cuIdiRUkcnIhJQkTkAhGZISIz1q1bl/7RK0oPoGiPSESw+uMlfH/I42x4ZXba9+MueZ41uDBsLwnZlpac0aXkjC5DRBhw6vZs9foZTPjXSfjL88Prua0mbtr0dMdcQIjfE55U2R7Col893Z1hD+BIEVkCPAvsLyJPYh2PX7T7vARsaz9fieX1dqiw2xQXu+6az6BBqV18ZppTTy3j+edHM3NmPfvvP5/16wPdPSRF6TOkJLpFxCcil4rIC7YQnuY8OrFvH1AGTAZ+ieUZF6zbjsONMTsAVwJPi0hR8s0kxhjzgDFmkjFmUnl5eSeGqSg9F7c1o2H+BgCqPlzMvHNfpGlVddr2Y1qCeAuzKTtyS/ImDiDUHC26U7GIxEa6HRHuSTF7iSP8PX5vZCJle3zdopHuzmKMud4YU2GMGYlVu+F9Y8xpwMvAfna3fYB59vNXgTPEYjJQZYyJs5YoPYtjjinh1VdHM3t2I/vsM4/VqzM3X0RRNidSjXTfCfwMmAbsBLwADADe78S+VwAv2hNsPgdCQH9jTJMxZgOAMWYmsBArKr4SK0rioBETZbPHyYcNELKjzzXTl7PxtTnMP/dFQk3piVKZQIiCSUMZ/9CxePL8GHu7QbvEuycFi0jplPFRrx2Pd6rZSxxfufg9CVMGtkVYbGukOxP8HjhORL4FfgecZ7dPBRYBC4AHgZ93z/CU9jJlSjFvvjmWpUub2WuveSxdqsnLFKWzpCq6jwUOMcbcDQTsv0cTiWx0hJed9UVkPJAFrBeRcjsHLHZ2lHHAIjs6Ui0ik+2I+BnAK53Yv6L0WGpmrqRxaWVc+5p/fsW3Bz0afm2CIQp2slxWjhAObGoAoHbmKpb+33udHkvj0kpqZ64Ke6o9WV5CtsfbiXSnkmt7yC8ms930C8Ovw9tLMXuJkytc/N6EZeDbxBHb7U01qCTEGPOhMeZw+3mlMeYwY8w2xpjdjDFf2+3GGHOxMWaMvWxG945aaQ/77lvIe++NY/36AHvtNY8FCxq7e0iK0qtJVXTnEZmB3iAieXYxnB1SWVlEngE+BbYQkRUici7WRJvRdhrBZ4EzjZUDbG/gGxGZBfwbuNAYs9He1M+x0lQtwIqA6yRKpc/gjtx+f8jjzNr5H3F9Guaso27W6nAE2wRCeHK8Vg5rO+rtiO5BP9uZNY9+ybrnv4vbTnv4es/7rX3PWw+AZHkxdvaSUH0zkFqkW0TIGhRJeOGIbm+K2UucDCmdjXS3dz1F2ZyZPDmfDz4YR0ODYa+95vH99w3dPSRF6bWkOi15NrAz8DlWFbJbRKSaFO0dxpiTkyw6LUHfF7DsK4m2MwPYOpV9Kkpvw7QErcwcreCI7ZYN9WQPKcIEDJLjxZPjI1jbHO7nLcxmxM0/oe7bNSy+eip5EwdEZRJp17hs20rTskoAPNnesJXFyQ2eiugGoqpSOhcJqaYMjGzDG5lI2R6riNM3tny8oiitssMOeXz00TgOOGAB++wzj3ffHccOO+R197AUpdeRaqT7MsCZSXElsCNwBHZOVUVROo+Tls8EIz7t2AIwTp/A+vpwX/F58OREi3VfaQ7i8zDugaPxFucw7+wXrPR+HcBbmG3v3PojWT4IGUwgFLGXpJpr2zWJMSK627r2jxbWniwv4rEi1u2aR2lXpNRIt6K0n4kTc5k2bRz5+V72228+n35a291DUpReR5ui2/ZXbwP8AGCMmW+MOcAYs6sx5uNMD1BRNhecUuvBmsiEpcDG6Fu5TlGalvV1VoMtuiVOdOcCkDWggPEPHUvziioWXvJahwSnE50u3nuk9dqeABlqDkayl6QY6XZHpsPZSPLbl59YfJ4OloFXe4midIaxY3OYNm0c5eU+DjxwAR9+WNP2SoqihGlTdBtjgsBfnCI2iqJkhlBzkOa1tTQtj6T6a1yyKaqPM5mwZZ0d6Q6EEG+CSHdxTvh54S4VDP/1T9j09nxW3fNJu8dlWoIMOG17tnj6RMCyl1hjCUTsJalGusUtuq1It7eNSLezihMRzxpcaE+kpF2TKcNRdhXditJhRozIZtq08YwYkcUhhyzgrbequntIitJrSNVe8pqIHJHRkSjKZo4JhPhy63v49icPh9uallRG9XHyYzuRbsteInhyokVvbPR40HmT6HfsRJb/fhqVHy5u17hCLUF8pbl4siyxLfbfb37yCGuf+ApPnj9c7bEjtCXYB1+0K4W7VrD95z9ni6dOoHifUZH9tUc/O5Ful31HUZT2M3iwn48+Gs+ECTkceeQiXnqpMi3bbWnRC2Klb5Oq6M4B/i0iH4rIEyLyT+eRycEpyubEV9v/La4tLtLd5IhuV6Q7gac7VsiKCKP/fCi54/ux4MKXaVqRWnTKGINpDkZVk/TYkz2bl1eRv+0gBl+0a0rbSkZbojtrcCFbvXYGWQMLKD1wrL1S+wW0aMpARUkb/fv7eP/9cUyalMfxxy/iqac2tr1SK3z1VT1ZWV/xwgub2u6sKL2UVEX3d8DtwAdE0vU5D0VRMkSs6HYKxNR9s5rpA26nccFGy16SGyu64y0b3vwsxj96HKY5yLxUC+cEDZhIdBsinm6ALZ8+kWHX7t2etxRHe7OXQAcFdFioq+hWlHRQUuLjnXfGsvfeBZx++hIefHB9h7e1YIHlYL3qKq15p/RdUk0ZeL8x5sfYRhEZlObxKIpi4x9YQHNMRNqJdFd/vDTS6PPgK4tO3xUb+XbIHdOPMX89gnlnv8CSm95l9J8OaXUMjp1FfBGh7Xi600VHRDcdsJeEy9C3t6iOoihJKSjw8sYbYznuuEVccMEy6utDXHZZx9KTAjQ29h7715o1LSxa1MRuuxV091CUXkKqke55Sdp/SNdAFGVzpLVMGoW7VkRNqoRIxg834vOQPaQoqi3W4+2m7LAtGPKL3Vj7+Fese/ab1sfnZBhxR7qz0iu625pImQj3hMxUyRponRi9RTlt9FQUpT3k5np46aXRHHtsCZdfvoLbb4+L0bVJc7N1LAwEes9F8aRJc9h992TySFHiSVV0x53hRKQI6D2XpIrSA2nNk5wzuozmVdVRfZyUgW7E62HgWTviH1RA0R7DgeSRbodh1+9D0Z4jWHTNW9R9uyb5+MKl112e7jSL7vamDLRWar/oHnzJZMbcczj9j9uq/ftTFKVVsrM9/OtfozjttDJuvHEVN964Mq7OQDI++KCGN9+07uoF4+MKPZYVK1ra7qQoLloV3SKyXESWAbkissz9AFYDL3fFIBWlzxJILrqzBhViAiFaNtSH2xx7iRvxecgZVcpO31xK7rj+QNsFZ8TnYdz9R+MvzbUK51QmLu3sFLCRDEa627pASERHsqV4/F7KT9q2U5lWFEVJjs8nPP74CM4/vx+3376GK65YkZLw3n//+Tz1lDV/JdgL51z0pui80r20dbY7DSvKPRU43dVugDXGmLmZGpiibA4kmtSXt9UAKn65V7iCpFtoh5LYSyIvrD+pCFl/eT7jHj6WH456ggUXv8YWTxwfJ0gdT7fHNXnSk9V+kZwIyfJimoMdEt0diXQripJ5PB7h/vuHk5fn4e6711FXF+K++4bj9ab2P9ubIt0OTU0hfL70BiOUvkmrZztjzEcAItLfGFPfWl9FUdqPYx3J3aI/DXOtmf9DLt2NskO3YP0L3wPRlhLTFMST6yPUEGkLTxCEcCWZVKO5hZOGMuI3B7LkurdZedf/qLhyz+jx2SI/KtKdpomUWz57IqYlFE5B2C5UdCtKj0VEuPPOCgoKvNx224/U14d4/PGR+Hxt/9/2xkh3Y6MhP7+7R6H0BpKe7UTkRmPMbfbL65JNXDLG/F8mBqYomwOO6C6dMj4sur15lsfZEbqxke6swUU0LorkxE0U6W4PA8/ekdoZK1nxh2kUbD+Ekv1HR8aXyNPtT4/ozhpQQO74/h1aVy0iitKzERF++9sh5OV5uPHGVTQ0hHjmmVFkZ7c+lax3im6d3qakRmu//grX82FJHhUJ1lMUJVXsE4zbYuHJszKPOKn5HIsHWCLYPzAmpOK6bduRrB4iwqg7DiFvwgAWXPQKjcsqw8scO4s7N3e6It2diVZ3KDquKEqXc8MNg7jrrgpeeqmKo49eREND6wI1ECDsA7/44mX88pcr2lynKwkGDRs3Rk9ob2zsfRcKSveQVHQbYy5yPT87yeOcrhmmovRNnEh3ItEttnfauIrYhJoCZA0ujNpGtL3E3m47zwHePD/jHzkWEwwx/9wXCTVa+3Qi3e6MJWnzdHdCdJceMj594l9pNyLiFZGvROT1mPZ7RKTW9TpbRP4lIgtE5DMRGdnlg1W6ncsuG8CDDw7n7berOfTQBdTUuAIJCQ5WTU2GYNDwwAPrueOOtey88xy+/rpnOFwvu2wF/fp9E3Uh0NTUcy4KlJ5NqikDEZFxInKjiPzd/juuHes+IiJrReS7mPZfiMgcEfleRP7oar/ePkjPFZGDXe1T7LYFInJdqvtXlJ6KM5HSXSDGGxvptkW3CYYgaMgd04+JL59K9ogSINZe0kHVjZWicMzfjqDu6x9ZcuM71mac7CX+NGYvcbS2N+XDTxz+fnlkDSxsu6OSKS4DZrsbRGQSUBrT71xgkzFmLHAn8IeuGZ7S0zjvvP488cRIPv64loMOWkBlpXVca2qKP1Y1NIRYs6aFQABOPrmUjRuD7LzzXP70pzXdbj95+mnL2ldfHxHavTnS/eyzG/nuu8TZq5T0k9JZT0ROAb4CtgXqgG2AL+32VHgMmBKzzf2Ao4DtjDFbAXfY7ROBk4Ct7HX+YUdVvMDfgUOAicDJdl9F6bU4otad4s8T4+l27CW1M1cB4C3Kpmj3EXgLs61+LtFduPNQAPK2Gtih8ZRNGc+Qy3dn7ROzWPv01y5PtzvS3TnR7bwvSTGbQTK8RdmdWl/pGCJSARwGPORq8wJ/Aq6J6X4U8Lj9/N/AT6QjHiilT3DqqWU8//xoZs6sZ//957N+fYDa2vgocX19KJwD++STS/n22wkccUQx11yzkp/8ZD7LljV39dDDOL9et/jvrZ5uYwwnn7yE7bef3XZnJS2kGmr6LXCoMeZEY8w1xpiTgEOB21NZ2RgzDdgY03wR8HtjTJPdZ63dfhTwrDGmyRizGFgA7GI/FhhjFhljmoFn7b6K0nux7SXuMuvhSLdt4wjVNVM9fTkbXrMOjOUnb2uvY/37uu0l/Y6ayA5fXULxHiM6PKRh1+5N8d4jWXztW2F/dzorUoYnYnZyMmSHUg0q6eAuLHHtVhqXAK8aY1bH9B0KLAcwxgSAKqBfF4xR6aEcc0wJr746mtmzG9lnn3ksWNAU16ehIcTy5ZawHjYsi379fPz736N49NERzJxZz7bbzg5HnLsaj33cckfo//zntaxd2/sK5axZY91t6I1pGnsrqYruQuDTmLbpQGeS5IwH9rJ9fh+JyM52e/ggbbPCbkvWnhARuUBEZojIjHXr1nVimIqSORxPtzvqGzuR8scHZ/DDkU/w4/1f4Mn14bPLmDtiO8peAmQPjS4J317E62HwzydjmoI0LrRObFHZSzo5iTES6e64vQQidwmUrkNEDgfWGmNmutqGAMcDf+3ktvWYvZkwZUoxb745lqVLmznssAVxy+vrQyxfbonYYcPsO38inHVWP77+egJbbZXDqacu4ZRTFrNpU3yV3kziRLprayNK9cUXKznxxMVdOo50sHSpdWFTWqrzY7qKVM96fwFuF5EcABHJBW6z2zuKDygDJgO/BJ5L521HY8wDxphJxphJ5eXl6dqsoqSNjW/OY9Pb1gknSnTnOhMprQNh84+1kZU8kX9ZsXPeSgq5b9uLZFn7CdZZB2W3vcTJllLxy706tm1nWx3wnbsxzRqe6Qb2AI4UkSVYdxv3B74HxgIL7PY8EXGU1EqsTFeIiA8oBjYk2rAeszcv9t23kPfeG5cwyrp+fZAVK5rJyRHKyqIF4ejR2Xz00Xh++9vBPP/8JrbddjYffFDTRaOOHII3bowe+OrVvS/S7YjuwYP9bfRU0kVS0e2UgLdLvv8cuByoFpE1WLcIr8CyiHSUFcCLxuJzrFuV/XEdpG0q7LZk7YrSqwjWNrHgkteYd+a/WXbr+0B01NfJ6uFElIO1kduv7qh2+HknI8aJcCwgzausk5m/f15kvyJMXntDh0W3875MS+ci1YmqcyqZxRhzvTGmwhgzEmvuzfvGmFJjzCBjzEi7vd6eOAnwKnCm/fyndv/eO+tMSSuTJ+fzwQfjOOSQ6LtzP/7YwvLlzQwblpUwDarPJ9x442A+/XQL8vI8/OQn87n66hVdkkXEGc6mTdHHn5aW3vezXrXKulAoL0989/Lllyv5y1/WdOWQ+jyt3Sc+LcP7fhnYD/hARMYDWcB6rIP00yLyF2AIMA74HCvnwTgRGYUltk8CUp3IqSg9gtqvVjH/Z6/QtKwS/8ACWtbYUewEwtmJdAdrXKI7UUQ8A6LbiUY3LtyIJ8+Pr19eG2ukzpbPnMCaf84iq6JzNhgn0l24awVDr+rYBYCScR4GnrAj3xuxjtuKEmaHHfKYOnUsIl+G2yzR3RK2liRj0qR8vvxyS375y5X8+c9reffdGp58ciTbbJObsfE6FwGxubp7o+h2rDm5ufHnkLq6IMccswiAK6/s2MR8JZ7W8nR/ZJeB/y9wDjDdaXM/UtmJiDyD5QnfQkRWiMi5wCPAaDuN4LPAmXbU+3vgOeAH4C3gYmNM0J6EcwnwNlaqqufsvorS4zEhw8p7PuX7w/6JCQSZ+PJplB40Nrw81pcNEU+3OyLsFti546xqjoEN6c9fGxbdizaSPby4Q0V3kpE7rj8jf3NAp7dZfpI1oXSLp0+kZN9R6Ria0g6MMR8aYw5P0F7get5ojDneGDPWGLOLMWZR145S6W1kZwtr1gRYubKFioq2bQ/5+V7+8Y/hvP76GH78sYWdd57DXXetJRTKjAhOZi/pnaLbeg+BQGTs//1vLVVVQdat61qv/OZCmzOijDFBETmI6Jnq7cIYc3KSRQmj6Xb5+dsStE8FpnZ0HIrSHTT/WMOCi1+j+uMllB25JaPvOARfSS4bX42kaUqUPk8SFaFx9cvbaoC1/dXp9zO6J05mDy9J+/bTwdAr92DIz3eNynGuKErvZuBAP6tXt1BVFWzXBL/DDivm228ncP75y7jiihW8/noVjz02goqK1qPl7SViL4kWpYFeqFEd0d3cbInu6uoge+01j4MOKuRvfxvW2qpKB0n1vvSdwK9FRM9uitIONr09n2/2fYjamSsZfeehjHvwGHwl1q1PcaW8S2QRcQvfcJsrIt7v6IkMvnAXhl65R9rH7U4LWH7CNmnffjoQERXcitLH6N/fy4YNAWpqghQWti+rxoABfl5+eTQPPDCcTz+tY9ttZ/Pcc5vSOj4nZWCsp9sdLe4tOBcObtEN8N13jb3y/fQGUhXdv8DKMFLjnmBpT7JUFCWGUEMLi697m7mnP0/WkCK2ee8cBpy6fZSlIir1XqJIt0hcqXNxZS/xZHkZcesBZA1Kf2VGt7jP32ZQ2revKIri5pNPxjNjxpaUlPhYtaqFUAiKitqfyk5EOP/8/syatSXjxmVz4omLOeOMJVRVpWfitXMIj/V0V1YGee21yrTsI5NcdNEyfvtbK51+JNJtGRlqaqzXubmeXhm57w2kmnA305MqFaXPUD9nHfN/9jINs9cx+MJdGHbjvglzW7urUIrPw7Cb9sObHx259WT5CDYFo/p1BVHFcLI1h6uiKJllt92sqQAlJV5mzbLmqRQVdfx4N25cDv/97xbcdttqfvvbH5k2rZYnnhjJXnsVtL1yKzii+6mn4iPo//jHeo44oqRT28809923HoCbbhocZy+pqrLEd26uaKQ7Q6QkulOdMKkoPY3GxZvIGlrU6dLlqWCMYc1jX7L05v/gK8hiy2dPpGT/MUn7u4W4eDwMvXS3uD6S7QW3ZbuTpdNTJarseyeL4SiKoqRKcbE3PEmxvfaSWPx+4ZZbhjBlSjGnnbaEffaZx7XXDuTXvx5MVlbHBL2nldX692/9WNnUFOKrrxqYPLkzdQXThxP9j4hud6RbRXcmSPlXJyLbi8gvROTXInKr88jk4BSlM7Ssq2PWrvey9Ob3Mr+vDfXMO/MFllz7NkW7D2ebD89rVXBDTBnzJGI69mKhqyLd6axAqSiKkiolJZFjXkfsJYmYPDmfWbO25Nxz+/H7369h8uS5zJ7d0KFttZZ1qa2MKVdeuYLddpvLo49uYOXK5g7tP504GVeckvaO6M7La1t0z5hRx9y5jZkdYB8kpTO4iFwA/A+r+ti1wDbAVVhVyBSlR9L8oxUirpm+PKP7qfrvEr7Z7yEq31/IiN8cwJZPn0jWgLZvYUZFupOI6dgMJk7hnEzj8au9RFGUric3N3KM64y9JJaCAi8PPjiCl18ezfLlLey44xz+9re1tLdWUzLN7fHAmjWtG6FnzrRsM+ecs5Q995zXrv1mAkdYx0a68/I8baZA3HnnuWy55Q+ZHWAfJNVf9DXAFGPMMUCD/fenQO+re6psNgSqrKtwb0F6U0Y5hFqCLLvtQ2Yf9zTegiy2fvNMBv9sl5SFcZSnO8k9S0/sRMoui3S7RHcX7VNRFKWyMjKHpaAg/Rf8Rx1VwrffTmC//Qr5xS9WcOihC9tVwj2ZvWTffQvb3I7XdUdzyZLuj3RHRLfl5Y62l3TbsPo0qZ5NBxhjPrafh0TEY4x5EzgiQ+NSlE7Tst6KKngLs9O+7cbFm/j+iCdYdfcnDDh1e7Z595x2Z/mQqEh3YqEusV70DFSfTIjr5JDOwjiKoiit4URdAfLzM3O8GzTIzxtvjOHvfx/GRx/VsM02P/Dii6mlFnSLbmN2DD8fPNgXdcHQ1roDBnS/bc+JZjuf+Y8/WhcNfn/0RMr23g1QkpPqL3qFiIy0n88DjhKRvYDuv1RTlCS0rKsD0i+61z3/Hd/+5GEaF25k3MPHMPovh+LNb380PcpekkRMe2LtJV0kulVoK4rSHfzmN0O4+OJy3n13LFtskZOx/YgIP/95OV9+OYERI7I47rjFnHPO0nDavGQk059lZT7q6lqvIeg+rg4Z0v01BmLtJW+8UQVYYtwtuoPpybaokHrKwD8CE4AlwK3Av4Es4NLMDEtROk9gvSW6oyYsdmZ7NU0sufZt1v/7OwonD2PsP44ku6K4w9tz20tI5umOtZd0UfYSRVGU7mDQIH+XVkPccsscPv10C37969X8/vdr+OijGp54YiS77554Xo4THf744/FR7QUFHurqUo90l5d3b6TbGBO2kDQ3G5qaQsyZ0wTEi+5AwOBLcjdWaR8phc2MMY/ZdhLsv6VAqTHm3kwOTlE6Q6DaOoCEmjp/mV4zcyXf7v8w61/8nopr9mLiS6d2SnBDbMrAnpW9RFEUZXMhK8vDbbcN5aOPxhMKwV57zeP//m9VwsmELS2Gs84qY889o0V5fr7lg3b80Ylwe7qzs7tXxIbsYWZlCcbAhg0RE3dzs4l678Hg5mcv+dOf1vDuu9Vp326HzuDGmGZjTG26B6Mo6STUYB1EQo0dn+9rgiFW3v0JPxzxBCZk2OqV06i4eq+02DzcmUmSienYKH1XZS9RFEXZ3NhzzwK+/noCp59exm9+8yN77DGXefOi0+K1tJioHN8nnFACRCZ91tYmF93uSHdLN6ehcCLZeXnWoNaudYvu0GZvL7nmmpUcdNCCtG83qXIQkUWpbEBE5qdvOIqSHtY88RXrnv4agKoPFrH6vs/bvY3m1TXMPv4Zlt/2IWWHb8G2759L4a7pu+3pceXCTibi48S4RroVRVEyRlGRl8ceG8nzz49iwYImdthhDvfdty48mbClxeD3R4Ifzz47ikBgh/Ckz0S+7jlzGlm+vDkq3WBzc4gvv6wPl2TvapxIdkGBNW535pXmZhOVvaQrIt1z5zZy7rlL+3xRntZMRUNTLH4zMF2DUZR0sfiqN8PPQw0Blv7fe/Q7dmJK+bMBNr45j0WXv0GoKcDouw+j/KRt0z65MEpQJ4lgm5boA3hXTaRUFEXZnPnpT0vZbbd8zj57KRddtJzXX6/i4YdH0NwcLbpFBK+XhKLbGMPcuU1MmGDlsz744KLwsuZmw047zQHg6qsHkpPTtcd2R9wOGeJnxYoW5s+37Jh5eR5bdMdHui+4YCm1tSGeeGJk2sdz4omL+frrBi65pJwddshL+/Z7Cq19y08Dw1J4PJvhMSpKWqietqTNPqGGFhZf8xbzzvw32cOK2eY/5zDg5O0yks0jlVzYoebo+3oquhVFUbqGoUOzeOutsdx1VwXvvVfDxIk/UFMTYvTo+GxVTsTYLbpffLEyLLghOvVeY2Pk+aZNXe/fcCLZw4ZZ78WpLlle7ks4kRLgwQc38Mwzm9osnNMR6uutz82xu3QnmUyRmDTSbYw5O107EZFHgMOBtcaYre22W4DzgXV2txuMMVPt1ISzgbl2+3RjzIX2OjsBjwG5wFTgMqMJJJUUcYrlJKP+h7XMv/BlGuasZ/DPd2XYDfvGTWRMJxJlL0kS6W62j4wegZDR7CWKoihdiMcjXHbZAA44oJBTT11CXV0jxx5bEtcvP9/xdEcE9I8/RleYcfu9q6sj/TZtCjB4cNemEHSEdEWFtd+5c61Id3m5j/r6UKsTKTMpumOzpDQ2hpg48Qf+/vdhHHJI55IXpEom3p9DV11SPAZMSdB+pzFme/sx1dW+0NV+oav9XiyhPs5+JNqmoiQkWJd45ooxhh8fnsG3Bz9KYEMDW/7rJEbc8pOMCm6Ijm4njXTbmVd8JXa+2i4U3UV7jaD/8Vt32f6U3oOIeEXkKxF53X79lIjMFZHvROQREfHb7SIi94jIAhH5RkR2bH3LitIz2WqrXD7/fAsWLNiKoUPjI92J7CUDB0bHNT/7rC783Kn+CLBxY3dEuh3RHR/pTmYvcWhqiiwLhdIjUBsaQva+ore3fHkzixc384tfrEjLflLB/f7STZeIbmPMNGBjZ7YhIoOBImPMdDu6/U/g6DQMT9lMCNXH13Jq2VDPvDP+zZLr36F4r5Fs++F5lOw3ukvG47aXJKstbFoc0Z1rrdOFEyknvnAqY/9+ZJftT+lVXIZ1R9LhKWBLYBusO5Hn2e2HEAmSXIAVOFGUXklWlicsUmNJJLpjJwUGg7Dbbvkce2xJjOju+prrTjS3Xz8f2dnCihUt4ddtTaR0pxdMVaBOnVrFAw+sT7isX7+vwxcesZ+Zx57v1JVpC3u96G6FS+zoxyMiUupqH2VHUT6yK18CDAXclzor7DZFSYnYSHfVtMV8s+9DVH6wiBG3HcgWT52Avzy/y8aTUqTb9nR7i62qmpJEnCtKVyEiFcBhwENOmzFmqrEBPgcq7EVHAf+0F00HSuwAiqL0KRJ5ut02BUeUDx+eRUmJN0rYdY+n29q/3w/FxV77uZCbKwkqUkaL0FWrIufSpqbWq3A6HHbYQn72s2WcfvqSuGXuSH9sVN35DLtSdDc2pvaeOkJKZ3ARycR99nuBMcD2wGrgz3b7amC4MWYH4ErgaREpSriFVhCRC0RkhojMWLduXdsrKH2G+h/WJmx3It2h5iDLfvMBs49/Bm9RNlu/dRaDz9+5y0ufR02kTOrptkV3nuW70+I4Sg/gLuAaIO7MZNtKTgfespuGAstdXZIGS/SYrfRmEke6rb8//DCBbbax7lbm5AhZWdHH+66KdLunwEVEt4THbo3NE5enOxAzvJUrI3eN2xsVfvLJ1k0PseLaEcBdmSu8J0S6V4vI3SIyKV07NsasMcYEjTEh4EFgF7u9yRizwX4+E1gIjAdWEomeYD9f2cr2HzDGTDLGTCovL0/XsJUeTrC2iW/2DQfg8A/IZ6fvLyN7eDHBuhYaF23k+8P/yaq/fsqA07Znm3fPIX/r7sl66Z5ImSxlYN4E67frK7NTKOlESqUbERFnQvzMJF3+AUwzxnzc3m3rMVvpzSSaSOlEaYuKvOFIeGGhN050V1Z2jaJ0p51whLTPJ+Gx5eR4yMoSmppar0i5Zk1EhXc2KhzrCY+1lzgCuGvtJd0c6caasBgEXhOR2SJyg4h0qkpIzC3GY4Dv7PZyJ7IuIqOxvICLjDGrgWoRmSxWSPIM4JXOjEHpOwQ2NVD71SpW3/9FVLsJGfzl+XgLstnw4vd885NHaFyyifGPHMvoPx8ajiB3B+7IerIo+5h7jmDiq6eRNaTQ6qcpA5XuZQ/gSBFZgpUudn8ReRJARG4GyrHuUDqsxEot69BqsERReiu5uYJIYnuJO5pcVOSJE92tVbFMJ+5ocXOzNTZLdFsXDNnZQna2Jbpbs5esX99+T3f8WAxTp1bFvffYiHZfi3S3VhwnjDHmS+BLEbkaOAg4DfhORL4EngD+ZYypS7a+iDwD7Av0F5EVwM3AviKyPWCAJcDP7O57A7eKSAvW7csLjTHO/YifE0kZ+Kb9UDYDjDG0rK2jcfFGGpdU0mT/bVy8icYlmwhWJk4HWHHVngC0rLN+nvnbDGTsvUeRPbTdjqVuwVuQRdHk4Wx6yyr8qikDle7EGHM9cD2AiOwLXG2MOU1EzgMOBn5i3710eBVr7s6zwK5AlR1AUZQ+hYglrOvqQixZ0hTOdw2W6Ham4xQVeVmyJHpSfyZE94YNAcrKvFEBHbd4dsSsz+e2l3jIzfXQ0mKihGcwGB2BdotuJ9Vfe3n99SqOPnoRr78+Jqo93l5ive7KSpXdLrodjDEhEZkNzAEmY3nzTgXuEJHLjDFPJFnv5ATNDyfp+wLwQpJlMwDNYdZHMYEQTSuraVqyKSymGxdvsl4vrSRU75oI6RGyK4rJGVVKv6MmkDOqjJyRJeSMKmXOKc/RvLKaIZfuxqBzLUeUI7pH3HpArxHcbhwvt3q6lR7KfcBS4FP7JP+iMeZWrHoKhwILgHogbfUfFKWnkZ/vYdasBkaN+j6q3e+XcKS2sNDL8uXRonvevEamTq1iypSicLaOzrBwYRNjx37P3XdXcOmlA8LtIZc+dlL0RdtLhNxc63lNjXtyown3h2jRnajsfSp8910DEF1+HhLZSxKnEswkmbSXpCS67cwiJ2BNkJkAPAecYYz5xF6+M/AOVtRbUZISagzQtKwyLKgbl2yiyY5YNy2vjCp7LtleckaUkDOqjKK9R5IzspScUaXkjCwla1gxHn/i+b3eomxYCZ4E1pHcsWUZe2+ZJCy2NXuJ0kMwxnwIfGg/T3gusbOZXNx1o1KU7iM/38O8efF3Xf1+CXuXi4o8LF8eEZpZWcKHH9by4Ye17LRTHn/5y1D23ruwU+NYsMAqdPPaa1VRojs60h2Jwjv2EivSbYn+mprIufikk5bw6afjw6/XrYuI7o5E6Y0xzJ5tfU7u9IPWGKP7OuPcrOwlWDPOPwDuAV4xxjS5FxpjvhAR9VcrgDWZsXFxJY1LNtK4uNKKVNsiu3lVtWUosvEWZJE9qpS8rQZQdvgW5IwsJdsR1oMLkQ5c9TsZP5zc1gD+gQW0rKnFW5Dd6ffXHYhTqCfUNd4/RVEUpX0UFHiZMyeZ6I70ufrqAZxxxlLAKkazcqUlwtesaWGffeZz7LEl/OEPQxg7Nqdd+//5z5dx773rmTrVsmzExmgS20si6Q6zsyOR7qlTq8J9Fy5siipb7450uyeOpkpjo2HOHEtGxovuyH6++aaeO+5YE9eeaTKZMjBV0T02kQ9PRAYZY34EMMaclc6BKT0XYwyBjQ0R60eMFaRlfX1Uf1//PHJGllK023ByRpWSHY5Yl+Drl5f2VH3hgjKlkQPWtu+fS6CmKdkqPZ7sYSUANC2v7t6BKIqiKAnJz/eEJyi68XgiotvvF04/vV+c6B482M/cuVvxl7+s4fe/X8Nrr1VxySXl/OpXgygtTU2q3XuvVXzGEcjvvFPD8uXNDBtmFfRxx2xa83QDbNgQLabdQjRadLdfoDY0hMIXJ7H7cUe0d9xxTvh1JkV3MGjwuuZL9YRI91wgkRH2B6B33q/vAoL1LWx8bQ79T9i6y3NAdxYTMjT/WJNEWFcSdAtYgawhReSMLKF0yniybW91zkhLYPsKuza6HC6dXuyKdJfnd2nhm3Tj2GIal27q5pEoiqIoiXDEayIce4k3xhVZXm7JML9fyMvzcNNNgzn33P786leruOuutTz++AZuvnkwF11Ujt+fmo5YsiRyfr788hW88IJVZdktXBsa3NlLrHFnZUUi3bG4Pd3uYjYdEd0LFjSFveCx6RKTlZ+PzRWeLv73v1r23HMe06aNZ6+9CoBoT3coZNLis3dIVXTH7dEuWKP3umOo/XIVAAU7DmHpTe+y9slZZI8opmjy8G4eWTyhliDNy6vsLCB2VhDHCrK0EtMY+ZWLz0P28BKyR5ZQuEuF5a+2I9bZw0vw5LRrTm5GCdtLStt3a64nkzPGEt096XNWFEVRIrQmup3y8U71x333LeDDD2sZMCAiuh0GD/bz0EMj+MUvyrnqqpVcdtkK/v73dfzpT0M54ojiNoN4jqcbovNgu0WsO9LtjKmpyYQ93bFst92c8HN3vu9E9pIbb1zJ7bevwZgdE27rq68id8NjJ2K6Lwy83ugxG2PSHsD8z39qAHj77WqX6I6MoaXFkJ3dRaJbRJZjOXBzRWRZzOJ+wDNpG0kf4bspjwEwee0NNC62Mh06IrAnsendBcw7699RExc9uT7L+jG6jJL9x0RZQbKHFvWazBmhBJ7u3o6vKIdxDx5Nwc4VbXdWFEVRupy8vOTnyLvvrmCffQqYPNm64/rKK2P44YdGnn3W0gmxubsBttsuj3ffHcvUqdVcddUKjjpqEfvtV8Cf/1zBDjvkxfUXsQTx/PmJrZRuAe5YUfx+YeBAK+lAVVUwaaQ7GYki3bffbvmwW1oM771XzVdfNUQtd792sqS8+OJojj12UZTIzsnxRInyxsbkFwUdxfG9uz8bt+hubjZkp/FmfVths9OwotxTsTKXOBhgjTFmbvqG0vcI2ZFiT073FWBJRsOcdZiWEKP+NIXcLfqTM7IU/8CCXmeDSYRptj73vhTpBuh31MTuHoKiKIqShJyc5IK1oMDLGWf0C78uKvIyeXI+r75aCZDUOiIiHHZYMQcdVMQDD6zn5ptXsdNOczjrrH789reDGTIkK9w3P99DbW2Id9+tSbgtt6B1sof4fDBokKVRNm0KtCm6i4o8VFdHhHBr9pK6uiCHHrowrn3WrEik21m/Xz8r2u62l+TmRovujlwUtIXj5Xb73d32kkQe/c7Q6uiNMR/ZaaH628+dxzQV3G0TziudRj9QZ6ievozPR/yRlvV1mKD1oyo/eTuKJg8na1BhnxDcAIPO3xkAb1HfEt2KoihKzyUnp/3n0OxsS4bFer1j8fuFiy8uZ8GCrbjqqgE89dRGxo37gV//ejV1dZaadrzZbtxWkESTEX0+YdAgK/5aWdm2qC0piY7V1tYGefXVSgoKZoXHEVmWWJB/800Dw4ZZQt8R1c5dgmDQ8Nxzm1iwoDEuqh3r/04HrUW6Bw/2p30CZ9JPV0RudL28TkRuTfRI62j6GE6k2wR6hr3kx4dmEGoIUPXREkzA+qH3FstIexh+8/7suuq6DqUbVBRFUZSO0FqkOxmOX9ikqO1KSnz86U8V/PDDRA49tIhbblnN+PE/8PjjG6iqitca7u0myjhriW5LAFuiu/XzZmlp5OogJ0eorQ1x002rqKsL8atfWUnunAuIZKK7ocEwdGiW3ccac0R0w4knLmbSpLlxFwCJ3l9ncSZJJvK7r1ixNQMGpNep0NovxG0eHdbKQ0lCWHT3EE931iAr4X7z6hpLdHukTwpTEemTFxOKoihKz6Vjke72iW6HMWOyef750Xz88XiGDvVz1llLaWgwDB+eFdXPbc9IFLXNz/eEhfTpp5e1eeHgFt3FxV5qa4Nha8ydd65l1arm8Gt3VUsg7GcHwhNIHWHu7NcZbyIrSSYi3d4EJTCamgw+H2nNWuKQ1NNtjLnI9VxL93aASKS7ZyR5cVLmNf9YgyfHp8JUURRFUdJExyLd1jpue0N72HPPAqZP34Jnn93EnXeuZc89C7jrrrXh5e7ocKKqjmVlPkSEqqrtyMvzRAnbO+4YytVXr4zq72Q6ASgp8VJbGyIrK/K+GxoMPp8AJi7Svd12uUyfXgdEUiXW1YXIzpaw+K2sjGRNi52YmolIt3OxE2sv6ch3mQopbVVEJorIQPt5gYj8WkRuFpH46bNKmFCj5el2ZwjpThwfd8v6ekwgpKK7B5CoVL2iKIrS++hIajlnnc4UG/Z4hFNOKeOLL7bk+ONLopa5RXQiYW8JZGtip88n9O/v4/33x1FdvR077hgv8dxZVhzR7Z4EWl0diXzHphN0e86dSDdYn4EzDvd4nRSMp51mpczNhOh2/NvuC5KmplBa0wS6SVV1PQOU2M/vAPYGJgP3Z2BMfYZQgx3pbuk+e8mGV2ez4s//JdQSdNldAiq6ewg7fXcZkxZc2d3DUBRFUTqJEx31taOcQkftJckoLLRCxrvvns+FF/ZvM9KdiP32K6Sw0MveexdwzTUDefXV0eFljjiGiL3ELcSrq4PhPrGRbmdsAP36+XByN2RlecJZRDZtCtptlhDfeusc7r7bcjvH5vROB06mEnfWlKYmE74DkW5S/WmMNMbMFSu9xbHARKABWJyRUfUxQt0kulc/+AVLb3wXgOK9R4aL3QTrW1R09xC8BVltd1IURVF6PI6ne8cd8/j88/o2ejvrdM5eEstWW+Vw/fUDueiicv7+93VUVgbDRWXam4nD6xX+8IehcW0OJSVefvghOtL9+OMbXZHuaJFcUhJtTcnKElvguu0lEdHd0mIoLvaGI+T19ekX3Y2Nxv4b2bYzpkyQqupqFJFCYBdgmTFmPdAEaE62FOgOe4kJhsKCGyBY20yoyRLdIUd0e1V0K4qiKEo6cAR0bq6Hc8/t10Zvi3TYS9x4PMLttw9l2LAsSkq8tLSYsLBMxz7cUXwr0h2KinQ/+uiGsICNnUgZK7odcZ7IXpKVJQQClj/c77dEeWxKwnTgRLrdgr4n2EueBt4HHgces9t2RCPdKdEdEynrf1gX9TpU30KoyfrBBuuaaVlfh/hVdCuKoihKOnAi3T6f8NBDI1Jax7ExpMte4saZ9OgI2dhI92675cetk4zXXx/Ds8+OjLKXWJ7uYFxhn40brf01NCSPdBcWRkR3VpaEI+ixkW6/XxAR8vM91Nen/0NyPN1u0d3YmDl7SUpbNcZcAdwIXGSM+ZvdHAKuSGV9EXlERNaKyHeutltEZKWIzLIfh7qWXS8iC0Rkrogc7GqfYrctEJHrUtl3T6A7PN1NK6qiXgfrmsMTO+u/XcOmqfMIVCUuFasoiqIoSvuILXRzwgklnH126xFvJ6Ka7iIsEBG5jq871tP90UfjU97WYYcVc+KJZVH2kuJiL4FAcmuMu5w6xOf4diLk2dme8Ge2aZN1Rz4ryxOOdIOVySQTkW4nKt9Vke6U7f7GmHdiXs9ox34eA/4G/DOm/U5jzB3uBhGZCJwEbAUMAd4TEeeX8XfgQGAF8IWIvGqM+aEd4+gWukN0t6ypBaD04HFsenu+FeluDET1CdU1d/m4FEVRFKUv4lQ3dITiv/41upXeFpGUgekfjxPpdkT3Qw+tj1qerPR8azjvzeOJTIysqko8+NY83dnZnlbtJX5/JNINkJ/vzYin27kwcF8g9ISUgaNE5GkR+UFElrkfqaxvjJkGbExxTEcBzxpjmowxi4EFWF7yXYAFxphFxphm4Fm7b8/F/j13hac71Bxk8bVv0bhkE81ramleUwsCY+45HLAnTzZFi3+1lyiK0hFExCsiX4nI6/brUSLymX0X8l8ikmW3Z9uvF9jLR3brwBUlgziRZLcFoy3Snb3EjSNyHSH78MMbwssuuaS8Q9t0PN1er4QnOL7/fg0QXxwotphNaWl0mkAn0p3IXuL3Y0e6rf55eZKR7CVOpDtWdHd3pPtpYCFwFZDalNzUuEREzgBmAFcZYzYBQ4Hprj4r7DaA5THtuybbsIhcAFwAMHz48DQOuR2IgDGEMii6q/63lPxtBlL3zY+sefRL1jz6JQD+gQX4+uXhLcoGrKi2Yy8Jk4F/ckVRNgsuA2YDRfbrP2DduXxWRO4DzgXutf9uMsaMFZGT7H4ndseAFSXTOBaRjojudGUvcePYOTZujL7L/f7749hvv8IObdN5bz5fJI+283rjxu3Iy5sVbnMXuoHoSHdWlrgi3RF7SXTe7EikOy/Pk+FId7S9pH9/b7JVOkWqoc6tgDOMMW8aYz5yPzqx73uBMcD2wGrgz53YVhzGmAeMMZOMMZPKyzt2RZe2sQQyYy8JVDUy+5inmH/OizTM3xC1rGVNLVnl+YjXg+T4CNa3EGqMHofJwD+5oih9GxGpAA4DHrJfC7A/8G+7y+PA0fbzo+zX2Mt/YvdXlD5LbCXF1sikvaR/fyuuumFDIErUezuhJ52ItNcrUWXaAwEra4u7YmV1dfSbcov0WHuJiITtOWCJ4UAgIvLz870ZytOd2F7SrRMpgWnADuncsTFmjTEmaIwJAQ9i2UcAVgLDXF0r7LZk7T0X+36RaW5ddG98fQ7Lbvsw4bLGZZXMOeVfBKob45Y1LbMmS1b9byn1366JW+4psKLc3jw/ofpIysAwKroVRWk/dwHXYE2mB+gHVBpjnAOM++7kUOw7lPbyKrt/HCJygYjMEJEZ69atS9RFUXo0Rx5ZzGWXlfOXvwxtu7NNJu0lpaVWAZr16wNRVo/OXPc6dg+fTxJeXBQWRtqqq6O1j8cT2W92toSFrWMzcU/SbGoKRXm68/IkI5Hu5uZkort77SVLgLdE5CXgR/cCY8z/dWTHIjLYGLPafnkM4GQ2eRV4WkT+gjWRchzwOZZDepyIjMIS2ycBp3Rk312BCZmwfaOtlIHzznkRgEHnTSJrYEHUslX3fErlewuZMfYv9Dt2ImP/fmQ4v3bT8kqrU9BQ/dlyYvFkWf08+VkE61ri7SWKoijtQEQOB9YaY2aKyL7p3LYx5gHgAYBJkyZpREDpdWRlebjrrmFtd3ThCM1M2Et8PqG01Mv69UHWrYsE3TojXiP2kuhIt4NbaMdOpHSTnS1hgV5QYEXHvV5osWVKU5PB5zNRke76+vRnXGtpibeX1NeH2nW3oj2kKrrzgdcBP9HR5pQQkWeAfYH+IrICuBnYV0S2x5KmS4CfARhjvheR54AfgABwsTEmaG/nEuBtwAs8Yoz5vr1jySRuu4Y7Y0nsRMrmNbX4++WFK0LmjCqlcfEmqj9ZSv9jtorqmzUk4rva8OIPbHjxB7Z680yq/7cUT1bk62ucvwF//zxa1kcs9+Kzf8h2pDtY04y3KJtgtaYKVBSlQ+wBHGmneM3B8nTfDZSIiM+OZrvvQjp3KFeIiA8oBjbEb1ZRNk+cKO/gwf6MbL+83Me6dS1RottJy9cRnIsEkcQ2mrIyH9XVzQwb5o8rjuMmKytiRXH+WgI7IoLdvu/c3MxEuiOiO6LfamuD4QuBdJOS6DbGnN2ZnRhjTk7Q/HAr/W8DbkvQPhWY2pmxZBITjPwg3ELb7ek2wRBfbnMPpVPGscU/jwesSDQQl9IPwN8vL67t+0Msi2T5KdtFtedvN5jK/ywMv5YsW3QX5RCobCRQ2UDBdoOp+XxFu9+boiiKMeZ64HoAO9J9tTHmVBF5HvgpVlapM4FX7FVetV9/ai9/35hM3EhXlN5Jv34+Hn98BAceWNR25w7Qv78vLtI9fnzHi4m7J4kminRPnTqGt96q5t//ruT77+NtsQ5WpNvSKM4Ey2h7iSEnx0RF1gMdv1ZISmyk2xhDbW0onJkl3aS8VRHZUkR+JSJ/s19vISLbZmRUvRVXcnu30A65PN1OJHrTW/MJn3vsCHmi1IKmlYT5gQ3RiWTcUXGIpATMriiiYf4GTFOQ3C27d1Kpoih9kmuBK0VkAZZn2wmqPAz0s9uvBHpNUTNF6SrOOKNfxiLdpaVeKisDYdH97bcT2HHH+GBeqrjLwCeKdE+YkMsVVwwkJ8cT5+l2k5Ul4W05kW73BM9QyCoj70S6LdGd/uv15ubolIENDQZj6F7RLSLHAx9jTYo5w24uBP6SkVH1Utze7ZArJ7a7vWVtXfh54yIrdbmxpy0n8n63lvmk2S6A41B6yHiGXrlH+LX4rV9wdkVxuFhO3pb9234jiqIobWCM+dAYc7j9fJExZhdjzFhjzPHGmCa7vdF+PdZevqh7R60omxfZ2R6amgzr11uie9y47E5tzx2Nzs1NPtkwO1uiJofGCnSPJ7K8qMha5kS1nawrVvaSyH4zUbXT8ZCHQlZecKfqZabsJalK+VuBA4wxFwKOCvwa2C75KpsfJuQW3ZH7IO7sJS3rIkK5dsYqu7Md6Q4mEN3NyT1MzT/WRL32FWZTce3e4aI8Hkd0DysO9/EPiJ6oqSiKoihK3yQrS2huNqxbF6Cw0NPpVHiOMDYmWkj/7W/R0/1is38kihw7otuJZpeVWZrl4IMjd+2dZV5vfBn7dODYS8CymDiTP93pDdNJqlsdAHxjPzeuv5ulN6/uuzUE6yOZQDa+MZcfH54RFak2LtEdaoj0bXZHupdusvq2Zi9ppYR8S0yk25OfhYiEvdzO35wxZeE+vuIcJr56WivvTlEURVGUvkBEdLeEI8idIZmn++KLo62rseLe8W8nwklh6Ij47bfPCz+P9nR3XHK+9VYVV1wRP5+t2RXYLCj4mjlzGu3n3Su6ZwKnx7SdhJXKr09igiEal2yKaw9UN/Lt/g+z8JJXw23zzn6BJde/E+XpdheiCdY0h5+H7SUCwRo7i4j9nSeyl4Ray/FtrMqTDt48yxPmRLid7CiFO1dE+pTkkLeF+roVRVEUpa9j2UtCrFsXoLy886Lb7bt2592OJbYkfCIRm5PjCGvrtTNRsqLCH+4fHenuuOh+/vlK7rprLd9/3xDV3tJiooryvPVWddLxpoNUt3op8FsR+QjIF5G3gd8AV2RkVD2AtU/OYtYu91LzReTKKFDVSKjOilrXTI/Pi+22h7jtJcHaiOgO1VvPswYVhlP3hSPdCfzbrUW6IXrypJMFxYlwe5y/OT6G3bQf/X+6NXlblIeXK4qiKIrSd3Ei3bW1IYqKOn/uT7XEfWyk+6CD4svO3377EC69tJwTTigFCEeyKyqyXH7vSGaTzthLNmywNNlTT22Mam9pMVEC20nh2K2ebmPMHGBL4O/ATcCjwDbGmPkZGVUPoGmFdbWz/t9WzR5jDDPG/YUvt/srAMG6Zr7e+wGqXeLbnWnENLtFdyQvtmkJIVnecL7sms+W02RH1J1ItzGG6unLMMa0Wc0yuyLi1/Y6otuJdPsjP5qhl+7G2H8ciSfHhye781e7iqIoiqL0bBzRna4qixFPd+tRZ/e+XnppNL/7XXyVzn79fNx997CwQHc83f37+8Je6379fOH9dsZe4kwkffrpTVGFiCzRHdFKVVXORMpuLI4jIvcYYy4Fnotpv8sYc3kmBtbdiD1DN1xIJua2RqghQMOc9Sz7zQfhtqjsJba9xFeaG7GRYNlFxO/FW5hNoLqJ7494IrJRO1K+6c15zDvrBYb8YjdCbUS6fSWRfJse214S9nT7E/9oHNuJoiiKoih9F0d0NzeHwlHczuCLUY2/+90QJk6Mz/vtnoi44455UVlPkvHUU6N4+umNbLFFtkt0R9IJGmOJ/Y6Usd+wIUBurrB0aTOfflrHHntY1tzmZhNVut4R55mqSJnqVs9K0h7r8+4zBDZZvp/mtbWEGgNJS7l78125NRPYS3wlOVGebtMSxJNtR7proitDhuyJlI4dZdVfP6X6k2WtjtOdNlBsf5XHFtXuSLeiKIqiKJsX2dmW6G5sNJ3OXALEiefrrhvEkUeWxPVzcm8DKYv94cOzuO66QYhEotpOpNvZb0ctJhs2BDn22BJycyVsMTHGEAxGZzCpqrJ0WDruCiSi1Ui3iJzj9HM9dxgNrM/IqHoAgUprBmv1x0v54binmfCvExP2c6LLQFRU2hHd3tJcGpdsCl+dGTvS7SvKpmlJZcxOrS/bkxv5WppXRacFxCMQMmRVFNG8oppQQ4Axfzsi2mNuXwV62vBu5+84pNXliqIoiqL0XrKyLKFdV5euSHdq20gmut9/f1xK5dxjRbez30DApDwGh1DIsHFjgJEjsznqqBKee24Td989LGyR2XXXfBYtsoKdTkEf53NLN23ZS5xIdhbRUW0DrMEq79sncSLdALVfrEiYzg/Am5cVfh5ypRE0dkl3f2kuGAjVteAtyLLsJVmWvSRYHV0i1YmmhxpcfnBXNLzssC1o2VBPzfTl5I7px/Ab9qVw8jCyK4opP2GbuLG1ZiPZ8etf4C3qXJJ8RVEURVF6Lo7grakJdpvodjKQAOy3X/yEykQ4Ee1IpNtpb7+vu6YmRDBoecYnTy7j2Wc38fbb1ey3n2Ux2WGHPO6+u4IBA751ie7MRLpblfLGmP2MMfsBv3ee24/9jTEnG2OmZ2RUPQAn0u2QzFu96b0F4efBOleWEnsCpOO5diZTmpYgHr8Xb3EOgepoe0lYdDdGRDcuw3/5KduFo9eS5aX/T7eOmkgZxv6ttJalJGtwYXjipaIoiqIofQ/HJlFTE0qTvSS1fh2xl7j5v/8bBESqVXbGXuII6eJiLwcdVEhZmZenntpIc7Olr/x+CeccdyZSdovodjDG3AQgIgNEZLT7kZFR9QCCVYmj0HH9XOLcHekONVrPfaW5Vj/bp22ag0i2F3///LjMJKGWICYYiiqm40Z8nrh0gK2hnm5FURRF2Xxxi8d0CElH/LYV8U4W6U6VX/96CMbsGJ406ey3IxlMHNFdVOQlK8vDCSeU8sorlWzaFAyPz8kZ7vTtyJhTISXRLSIHi8hK4EdggevRZ1MGRkWbSVwtMhZ3pHv1fVbdIK8T6a5pIljXTM1ny/H4vfjL8+PWX/fU13w+7I9x+w7jrjaZnYro1iwliqIoirK54vYmp2Ny4FZb5bDnnvm88ELrMVe36G6tiE6qOFlTOmIvcYS0k6Xk1FPLaGgwPP+8la45K0vw+QSfDxoaItHvTJCqKvsHVjGcfGOMx/Xos6FUd3EbgE1vzWt7HVeku9nO8x2OdNc0Mf+Cl2lZX0+oJYi/f17CbZiAHekW8MX2MSZS8CarFTu+/VvxaKRbURRFUTZb0h3pHjkym48/3iKcci8Zji0kXXTOXmIFTZ1CO7vvns+IEVk89tgGICKwHYuJ1xufpSVdpPqplAL3G2Ma2uyZABF5RETWish3CZZdJSJGRPrbr/cVkSoRmWU//s/Vd4qIzBWRBSJyXUfGkiqx0ealv3qvzXXckW6HLLtMe7CmmappiwHL150o0h3ed0MAT64fX1FM7kvjKnyTir1EK08qiqIoymaLO7qdDk93qpSX+9vu1A7SZS8BK/J+yimlzJljzatzRLdjMcmUnxtSF90PA2d3Yj+PAVNiG0VkGHAQEJuM+mNjzPb241a7rxerIuYhwETgZBGZ2IkxtUpspDsRo/58CP1PjGQNaVlXH9cne3gJYHm6TZP1xZvmUJTozhpSGC7hDtCyvg5Pjg9fabToNsaEq0l6WrGX5IywSqqmYolRFEVRFKVvku5Id6rk5Xm4/fYh/PSnJWnZXjrsJY7oBjjllLLwc+dzcSLdmbKWQOqiezJwr4jME5Fp7kcqKxtjpgEbEyy6E7gGKwVhW+wCLDDGLDLGNAPPAkelOP52YQKhuAqUicgd14/8bQeFXzevronrkzXESo/jLgUfag5E2UvGPXAMOSNLwq+bVlThyfGRu2V51Lb8ZbnhNICe3ORXkSUHjLH2WR8feVcURVEUZfOgu0Q3wPXXD+L559OTbyMd2Uvclpett85l220t+28k0m39zVSObkixDDzwkP1IGyJyFLDSGPN1gpKeu4nI18Aq4GpjzPfAUMBVAYYVwK6tbP8C4AKA4cOHt2tsiSYySrY3HKl28JXkRuXCXv/ct3Hr+YojEykdTEsQ8UbWyxpSGJVppHllNZ5cP7lj+wHQ/4Rt6P/TrSnYYQhrHvsSAH+/xJ5wgIFn74S3MJt+R01o9X0qiqK0FxHJAaYB2VjnkH8bY24WkZ8Af8IK5tQCZxljFohINvBPYCdgA3CiMWZJtwxeUTYz0j2RsrtwUhV2xF7y7rtWQLSwMNohcOqppXzzTUOX2ktSEt3GmMfTuVMRyQNuwLKWxPIlMMIYUysihwIvA+Pauw9jzAPAAwCTJk1q17eUyFriL88PT4508JXmtjlZ0ZPtQ7K8MaXgo20f/oEF4cmPAE0rq8nbspz+P92axoUbGf6r/aImZAL4WhHd4pGExXIURVHSQBOwv32M9gP/FZE3gXuBo4wxs0Xk58BNwFnAucAmY8xYETkJ+AOQuMSvoihppbIyomcyGcHNNE6KwvbaS556aiNvvlnN4MH+uMmRZ5/dj88+q2ennSw95YjvbhPdIrJ/Wxswxrzfgf2OAUYBTpS7AvhSRHYxxvzo2vZUEfmHPclyJTDMtY0Kuy3tJBLdobr43Nm+4py4qo+S5Y3Lv+0tyCJQGZmDauxCOyN/dxAbXpuDx++Njq4HDZ5cP1kDCxj9l0OjthWsblt0K4qiZApj1U6utV/67YexH0V2ezHWnUqwbIC32M//DfxNRMQ4NZgVRckYP/lJUfh5V9tL0klH7CUff1zLOecsZY898nnppXibS3m5Pyr1YbeLbqwJlK1hgHYbdowx3wIDnNcisgSYZIxZLyKDgDXGGCMiu2DdqtwAVALjRGQUltg+CTilvftOaXwJ7CXusvAOnhxfXAGa7KFFNC7eFNXmH5BP3bdrwq+dapWDzp3EoHMnWW0N0fssPWhswrEF7CI7jm1FURSlq7Ents8ExgJ/N8Z8JiLnAVNFpAGoxpoLBC5roDEmICJVQD9gfdePXFE2L4qLvZx+ehlPPLGxQ9aMnkJ77SULFjRyzDELGTkyi1dfHUNZWdvGDkd0Z3IiZaujMMaMSsdOROQZYF+gv4isAG42xiQT9D8FLhKRANAAnGRHRAIicgnwNuAFHrG93mnHiTrnjC2jccFGvCU5UZUnwcpcAvEFaHxluZSM7UfLhnrG/eNIAHLH9Wfja3MinRLcHnFPtAQo2n1EwrE59hJvoZZwVxSlezDGBIHtRaQEeElEtgauAA61Bfgvgb8A56W6zc7Mw1EUJTkFBZZOqanpwCzEHkLEXtJ2340bAxx22EKMgTfeSE1wQ8+IdKcFY8zJbSwf6Xr+N+BvSfpNBaamdXAJcOwlw3+1P/lbD2TuWf+mPkZ0O5MUi/caSfbwYvK2GsimN+fhLchmy6dOiOqbO65fm/sMrI9ON+gtzk7Yb9g1e7HgktfIsVMRKoqidBfGmEoR+QArlet2xpjP7EX/At6ynzvWwBUi4sOynmxIsK0Oz8NRFCU5Tqq8mprem0Y4Yi9p/dDQ3BziuOMWsWRJM++9N46xY1N3BXSF6O69rvoM4ohub56f7GHFCRMais/6EftKc9lhxsUU7WZFZhKVZ8/femDU65wURHgy+0i/oyay6/JrW00ZqCiKkilEpNyOcCMiucCBwGygWETG292cNoBXgTPt5z8F3lc/t6J0HUcdVQzAvvu2XkWyJ+PYS1oT3cYYLrhgGR9+WMvDDw9nr73a9379tqzqCSkDNytCjdb9C7EL0ZDg/BBrK/HkW99WomwmRXtErCITnj+ZvIkD4vrEop5tRVF6KIOBx21ftwd4zhjzuoicD7wgIiFgE3CO3f9h4AkRWYBVr+Gk7hi0omyu7LZbAaHQDiRIz9xrcOwlgVbqFv7ud2t4/PGN3HzzIE47re3gZrJ99Hp7SW/D2JFuT4798YQSiO6YrCVOpchEkW5faS7DbtqX/K0HUbxPajZ5ydGvRlGUnocx5htghwTtLwEvJWhvBI7vgqEpipKE3iy4oW17yXPPbeLGG1dxyiml3Hzz4A7to9snUm6uhGJEd6KvOPYHbIKWVyo2m4nD0Et3b3WfE189nebV1Sz42SsJt68oiqIoirI50pq9ZPr0Os44Ywl77JHPww+P6LB+6jMTKXsb2cOKGXDGDvjKrII0bnvJFk8cT/3stXHrONUqPVmtF8tJRtFkKwW5I7oVRVEURVGU5PaSxYubOPLIhVRUZPHyy2PCVSU7gka6u4mCHYZQsMOQSIPLXlKw81BKD44vkJm/g3U7I9Gy9lC4+/C4ypeKoiiKoiibK4nsJZWVVmrAlhbDG2+MoX//zknaSDl4Fd3dinseZTL7SMF2g9ll6S87nVVkq5dP69T6iqIoiqIofYlYe0lLi+H44xczf34j77wzji226HzyCUd05+Zq9pLuxaW6xZv8y9A0foqiKIqiKOnFiXQHAlZqwIsvXsZ779Xw6KMj2G+/wrTsIxLpzpzo1jzdqeCKdHs0q4iiKIqiKEqXEalIafjzn9fy4IMbuOGGgZx1VvtTA7a1D7WXdDe26N7y2ZMQj2YVURRFURRF6Soce8kLL1Tyr39t4vjjS/jNb4a0vlI70Uh3T8G2l0gGqxQpiqIoiqIo8Tj2kmef3cSuu+bz+OMj8aQ5COo4iTPp6VYVmQLGzl7ilH5XFEVRFEVRugbH+jFyZBYvvzw6I8LYmaSZyZSBKrpTwb766WgObkVRFEVRFKVjjByZxdVXD+DNN8cycGBmklYEApbY82XQeK2e7pSwI91+vUZRFEVRFEXpSrxe4U9/qsjoPoLByL4yharIFAjbS5Lk6FYURVEURVF6L469pE+IbhF5RETWish3CZZdJSJGRPrbr0VE7hGRBSLyjYjs6Op7pojMtx9ndsngbXuJqL1EURRFURSlz9EV9pKujHQ/BkyJbRSRYcBBwDJX8yHAOPtxAXCv3bcMuBnYFdgFuFlESjM6aohkL/HpjQFFURRFUZS+RiBg/XUmbWaCLlORxphpwMYEi+4EriGqBA1HAf80FtOBEhEZDBwMvGuM2WiM2QS8SwIhn3acSLeKbkVRFEVRlD5Hn7KXJEJEjgJWGmO+jlk0FFjuer3CbkvWnmjbF4jIDBGZsW7duk6NM+zpFi2MoyiKoiiK0tfoa/aSKEQkD7gB+L9MbN8Y84AxZpIxZlJ5eXmntuXNs9PTaDVKRVEURVGUPkd2tifqbybozpSBY4BRwNd2BLkC+FJEdgFWAsNcfSvstpXAvjHtH2Z6oFs+cyIbXp2Nf0B+pnelKIrSoxGRHGAakI11Dvm3MeZmsQ7kvwWOB4LAvcaYe+z2u4FDgXrgLGPMl90zekVRlMTcccdQBgzwccwxJRnbR7eJbmPMt8AA57WILAEmGWPWi8irwCUi8izWpMkqY8xqEXkbuN01efIg4PpMjzVndBlDL98j07tRFEXpDTQB+xtjakXED/xXRN4EJmAFS7Y0xoRExDm+uyfG74o1MX7Xbhi3oihKUsrKfPz+9wkdy2mjy0S3iDyDFaXuLyIrgJuNMQ8n6T4VKyqyACsycjaAMWajiPwG+MLud6sxJtHkTEVRFCUDGGMMUGu/9NsPA1wEnGKMCdn91tp9whPjgekiUiIig40xq7t46IqiKN1Kl4luY8zJbSwf6XpugIuT9HsEeCStg1MURVFSRkS8wExgLPB3Y8xnIjIGOFFEjgHWAZcaY+aTfAL86phtXoCVIpbhw4dn/k0oiqJ0MZoDT1EURWkXxpigMWZ7rHk1u4jI1lge70ZjzCTgQdoZHEnn5HdFUZSeiIpuRVEUpUMYYyqBD7DqJawAXrQXvQRsaz9PNjFeURRls0JFt6IoipIyIlIuIiX281zgQGAO8DKwn91tH2Ce/fxV4AyxmIw9Mb5LB60oitID6M6UgYqiKErvYzDwuO3r9gDPGWNeF5H/Ak+JyBVYEy3Ps/snnBivKIqyuaGiW1EURUkZY8w3wA4J2iuBwxK0J50YryiKsjmh9hJFURRFURRFyTBiBSH6NiKyDlja3eMA+gPru3sQ6Dhi6SnjgJ4zFh1HNN05jhHGmM0qnYces+PQccTTU8ai44hGx9HKMXuzEN09BRGZYafT0nHoOBLSU8ai4+iZ41C6lp7yves44ukpY9Fx6Djag9pLFEVRFEVRFCXDqOhWFEVRFEVRlAyjortreaC7B2Cj44imp4wDes5YdBzR9JRxKF1LT/nedRzx9JSx6Dii0XG0gnq6FUVRFEVRFCXDaKRbURRFURRFUTKMim5FURRFURRFyTTGGH204wEMAz4AfgC+By6z28uAd4H59t9Su/2XwCz78R0QBMrsZUuAb+1lM1z7SLitFMdxvP06BEyKWed6rFLMc4GDXe1T7LYFwHWu9lHAZ3b7v4Cszo4DOBCYab/vmcD+rmUf2uNwPq8Bdnu2vf8F9nhGpmEcI4EG177ucy3byR7fAuAeIjastH8vwKmuMcyyl2/f2c+jjbH8CZgDfAO8BJR0028k4Tjo+t9IsnGMJAO/EX107aOV712P2d14zO7gWDLyP9mBcWTkuN3KOPSY3UeO2d1+QOxtD2AwsKP9vBCYB0wE/uj8sIHrgD8kWPcI4H3X6yVA/wT9UtlWsnFMALawf+jug8RE4Gv7hz4KWAh47cdCYDSQZfeZaK/zHHCS/fw+4KI0jGMHYIj9fGtgpWtZVF9X+8+dfx7gJOBfaRjHSOC7JN/x58BkQIA3gUMy9b3ErLsNsDAdn0cbYzkI8Nntf3DeRzf8RpKNo6t/I8nGkZHfiD669tHK967H7G48ZndwLBn5n2zvOGLWTdtxu5Vx6DG7jxyzu/2A2NsfwCtYV3lzgcGuH8rcBH2fBs53vV5C4gN4m9tKNg7X66gfOtbV8PWu128Du9mPt2P72T/M9a4fdlS/jo4jpq8AG4Hs1vo6Y7Wf++xxSSc/j4T/nPbnPcf1+mTg/kx9LzF9bwdua6tvRz6PRGOx244BnurO30jsOLrrN5Lg8+iS34g+uvaBHrPbNY6Yvhn7f0zxM+mS/8l2fiYZO27HjsNu02N28s+jS34fnXmop7sTiMhIrCu8z4CBxpjV9qIfgYExffOwbve84Go2wDsiMlNELnC1t7qtNsaRjKHActfrFXZbsvZ+QKUxJhDT3tlxuDkO+NIY0+Rqe1REZonIr0REYsduj6fKHl9nxzFKRL4SkY9EZC/Xvla4+rjfdya+FzcnAs/EtHX682hjLOdgXfVHbdemK38j7nG46erfSOw4MvobUboWPWZ3aBxuMvL/2M6xbBbHbT1md3gcPfqY7cvkxvsyIlKAdTC+3BhTHfkdgTHGiIiJWeUI4H/GmI2utj2NMStFZADwrojMMcZMc6+UZFtJx9HJt9Vh2jsOEdkK67bQQa7mU+3Po9De1unAPzM0jtXAcGPMBhHZCXjZHlNKpPt7EZFdgXpjzHeu5k5/Hq2NRURuBALAU+3dZkdo7zi6+jeSYBwZ/Y0oXYseszs3jkz9P7ZzLJvFcVuP2R0eR48/ZmukuwOIiB/rB/CUMeZFu3mNiAy2lw8G1sasdhIxV8PGmJX237VYkwF2SXFbrY0jGSuxJiU4VNhtydo3ACUi4otp7+w4EJEKrPd7hjFmodPu+jxqsG7rOp9HeIz2eIrt8XV4HMaYJmPMBvv5TCz/23h7XxWuru73nYnvxaG130eHPo/WxiIiZwGHYx0QnYNMl/9Gkoyjy38jicaRyd+I0rXoMbtT48jY/2N7x7I5HLf1mN3xcfSGY7aK7nZi3xp5GJhtjPmLa9GrwJn28zOxvEfOOsXAPjFt+faVHyKSj3Vl+F1b20phHMl4FThJRLJFZBQwDmtiwRfAOBEZJSJZWAeRV+0f8QfAT9M5DhEpAd7AmrjwP1e7T0T628/9WP9MiT6Pn2JNbIq6Gu3AOMpFxGs/H431eSyybzNVi8hke5tnuN53Jr4XRMQDnAA862rr1OfR2lhEZApwDXCkMabetUqX/kaSjaOrfyOtjCMjv5H/b+9eY+wsCjCO/x9bSZtSL0QaLQraqGCsWi8YMQIqxEtDo1VDvEFKiJ8ghhgUDXwRjY1GEmn8gNEERVIuVUnAoIkae4G0VECoQoNtqUos1KJWiig1dfwws/T0cLY92+27XXb/v+Sku/POmXf29pzpvDPv0cQys8fXj67+Hg+zL1M6t83saZDZpcMF41PxAbyLuq5vE/tvS7OYuhbpV9TbzvySdoup9pxlwI197Syg7ii+n3ornMt7jo3a1hD9WEpdr/Q0sJMDN1NcTv2f30O0nbutfDF1V/C2vn4soP4BbwVW0TZGjKcfwBXAvzjwdkvzgDnUWw1tat+Pq4EZ7Tmz2vm3tv4sOAL9+Gg7z33AvcCSnrbeRg2GbcC34ZlbC3X1c3k3sKGvnXF9Pw7Rl63UtXQjZb23VZrI35GB/WDif0dG60cnvyM+JvZxkJ+7mX0UM/sw+zKlc/sg/TCzp0hm+zbwkiRJUsdcXiJJkiR1zEG3JEmS1DEH3ZIkSVLHHHRLkiRJHXPQLUmSJHXMQbckSZLUMQfdkiRJUsccdEtTUJJ5STYk2ZzklKPdH0nS6Mzs6cE3x5GmoCSXAn8DfgdcVEq54Ch3SZI0CjN7enCmW+qT5I9Jzn4unDvJ8iSXDDi0BTimPfb01N+Y5PXj7qgkTRJmtp4rHHRr0kjypSQ/6yvbMkrZxye2d0feeF8okhwPnA98Z8Dhu4EVwM+Br/SUfxO48nDPKUkjzOwxP9/MnuYcdGsyWQu8M8kMgCQvA54PvLmv7NWt7nS3DLi9lPLvAce+DDwJzGn/jrgVeE+Sl3bfPUlTnJk9Nssws6c1B92aTH5DDexF7fPTgV8DD/WVbSul7EjyxSTbkuxJ8mCSpSMNJbksyY96G09ydZIV7eP5SX6cZFeS7Uk+O1qnDla3zXxcmmRTkn8muSnJrJ7jb0ny29bHVe34V5P8EDgRuC3Jk0m+0HPKRaO11+eDwJoB/T2FGu4XA/uAhSPHSin/Ae4B3j/a1ytJQzKzKzNbQ3HQrUmjlLIXuAs4oxWdAawD7ugrG5kx2UYN9BdSZwmub7MqADcCi5PMBWizLucCK5M8D7gNuB84ATgLuCTJs0JtyLrnAh8AXgW8kRqeJDkGuAX4PnAccAOwtH2t5wF/BpaUUo4tpXzjUO0N8Abqi1u/5cA9pZQbgD8Ab+o7vnlAmSSNiZl98PYGMLOnOQfdmmzWsD+sT6cG+Lq+sjUApZRVpZQdpZT/lVJuom5EeXs79ifgXlpgAu8FniqlbABOBY4vpVxZStlbSnkY+C4waM3hMHVXtH78nRr2i1r5O4CZ7fh/Syk/ATYO8T0Yrb1+L6Jnww1AktOADwOXtaIHqC8Cvfa050rSeJnZZraGNPNod0Dqsxa4KMlx1ODckmQn8INWtrDVIcn5wOeAV7bnHgu8pKetlcAngOuAT7bPAU4C5ifZ3VN3BvWFot8wdR/r+fgpYH77eD7wl3LgfTkfGfhVH2i09vr9A5jbV/Z16prB1e3zB6gzPb3mAruH6IckHYqZbWZrSA66Ndmsp156/AxwJ0Ap5YkkO1rZjlLK9iQnUWcvzgLWl1L2JbkPSE9bq4CrkrycOntyWit/BNheSnnNEP0ZS91+jwInJElPiL+CeokVYLw3yd8EvJa6rpIk51BnlZ5IMvIiMJu6RrDX64Drx3luSQIzeyzM7GnO5SWaVNqu7rupsyG9MxN3tLKRtYFzqAG4CyDJBfRsPmlt7QJWA9dSQ3hzO7QR2NM27sxOMiPJwiSnDujSWOr2W08Nz4uTzEzyIdql1GYnsGCIdkZzO3AmPLOOcTlwDXAy9fLmIuB9wIuTnNjqzQLeCvxiHOeVJMDMHiMze5pz0K3JaA0wjxraI9a1srUApZQHgauoIbmTukHlzgFtrQTOZv9lSkop+4BzqAG3HXgc+B51tuYAY6k74Ll7gY8AF1IvDX4a+CnwdKuyHLgiye7UdyMbq+uoG49mA+cBLwA+X0p5bORBewFi/xrBJcDqUsqOwzifJA1iZg/HzJ7mfBt4aQIluQu4ppRy7RFq72vAX0sp3xrD+S8spfz+SJxfkqYyM1tHkoNuqUNJzqTeIupx4FPUS4kLSimPHtWOSZKexcxWl9xIKXXrZOBm6nrGh4GPGd6SNGmZ2eqMM92SJElSx9xIKUmSJHXMQbckSZLUMQfdkiRJUsccdEuSJEkdc9AtSZIkdcxBtyRJktQxB92SJElSx/4PYgEWFrrGy74AAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, axs = plt.subplots(1, 2, figsize=(12, 4))\n", "axs[0].plot(final_target.spectral_axis, final_target.flux, color=\"mediumvioletred\", label=\"Target line spectrum\")\n", "axs[1].plot(final_reference.spectral_axis, final_reference.flux, color=\"mediumblue\", label=\"Reference line spectrum\")\n", "axs[0].legend(loc=2, fontsize=12)\n", "axs[1].legend(loc=1, fontsize=12)\n", "axs[0].set_xlabel(\"Wavelength ($\\AA$)\", fontsize=12)\n", "axs[1].set_xlabel(\"Wavelength ($\\AA$)\", fontsize=12)\n", "axs[0].set_ylabel(\"Intensity [arbitrary units]\", fontsize=12)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Compute the S/N ratio in order to asset the uncertainties of the result\n", "\n", "After the spectral emission and noise features are removed, the noise can be computed in order to calculate the S/N ratio of each spectrum. Note thet the class method \"compute_noise\" will return a new NirdustSpectrum instance:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(30.812629918132114, 10.996114393173345)" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "low_lim, upper_lim = 20700, 22400 # wavelengths in A\n", "noise_target = masked_target.compute_noise(low_lim, upper_lim)\n", "noise_reference = masked_reference.compute_noise(low_lim, upper_lim)\n", "noise_target.noise, noise_reference.noise" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To compute the mean S/N of each spectra the value of the signal in the center of the band can be assumed as the mean signal. This step is not part of the pre-processing of the spectra but is helpful in order to asset the uncertainty of the fitting (see the publication of the package)." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(50.10917956601182, 37.422864914091654)" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "central_index = masked_target.spectral_length // 2\n", "\n", "target_signal = masked_target.flux[central_index]\n", "reference_signal = masked_reference.flux[central_index]\n", "\n", "snr_target = target_signal/noise_target.noise\n", "snr_reference = reference_signal/noise_reference.noise\n", "\n", "snr_target.value, snr_reference.value" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Obtain the temperature of the hot dust\n", "\n", "Now the spectra are ready to perform the fitting and obtain the temperature. The 'bounds' parameter of 'fit_blackbody' can be determined in order to provide some physical meaningful constraints to the parameter fitting. Also, the 'gamma_target_fraction' parameter can be constrained to a low value if the spectra are background_substracted:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/martin/Documents/Projects/nirdust/lib/python3.8/site-packages/scipy/optimize/_optimize.py:284: RuntimeWarning: Values in x were outside bounds during a minimize step, clipping to bounds\n", " warnings.warn(\"Values in x were outside bounds during a \"\n" ] } ], "source": [ "# min and max bounds for T, alpha, beta, gamma\n", "bounds = ((400, 2000), (0, 20), (6, 20), (-10, 10))\n", "\n", "results = nd.fit_blackbody(final_target, final_reference, niter=700, gamma_target_fraction=0.01,bounds=bounds)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The resutl of the fitting is a NirdustResults object and can be displayed as a dictionary that contains many useful information as the values for the fitted parameters and the success status. The fitted values for the $\\alpha, \\beta$, and $\\gamma$ parameters should not be in the borders of the intervals defined for the parameters in 'bounds', in that case, the fitting must be repeated with differents initial parameters." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "NirdustResults(temperature=666 K, alpha=1.79, beta=11.63, gamma=1.15,\n", "minimizer_results= fun: 1728.147825028615\n", " lowest_optimization_result: fun: 1728.147825028615\n", " jac: array([ -3.2599333 , 124.4421125 , -503.72867213, -5.27996959])\n", " message: 'Optimization terminated successfully'\n", " nfev: 773\n", " nit: 79\n", " njev: 78\n", " status: 0\n", " success: True\n", " x: array([666.49754838, 1.78847343, 11.6318601 , 1.14510016])\n", " message: ['requested number of basinhopping iterations completed successfully']\n", " minimization_failures: 312\n", " nfev: 274345\n", " nit: 700\n", " njev: 23641\n", " success: True\n", " x: array([666.49754838, 1.78847343, 11.6318601 , 1.14510016]))" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "results" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Also, the NirudtsResults class has a class method to plot the data and the spectra obtained with the fitting:" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(,\n", " )" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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