{ "cells": [ { "cell_type": "markdown", "id": "37e88775", "metadata": { "papermill": { "duration": 0.010594, "end_time": "2022-09-02T07:49:03.262683", "exception": false, "start_time": "2022-09-02T07:49:03.252089", "status": "completed" }, "tags": [] }, "source": [ "# Some worked out use-cases for `exo_k`\n", "\n", "*Author: Jeremy Leconte (CNRS/LAB/Univ. Bordeaux)*" ] }, { "cell_type": "markdown", "id": "1cad3809", "metadata": { "papermill": { "duration": 0.012003, "end_time": "2022-09-02T07:49:03.284228", "exception": false, "start_time": "2022-09-02T07:49:03.272225", "status": "completed" }, "tags": [] }, "source": [ "Whereas the tutorial goes through all the concepts present in the library in a very progressive manner, here we propose some more complex examples that combine many of these concepts. The idea is to show some 'real life' examples of the use of the library that can be adapted by the users to their own needs. \n", "\n", "Some of these examples use publicly available data: do not forget to acknowledge them if you use them in your work (see the `where to find data` section). " ] }, { "cell_type": "markdown", "id": "80b7507c", "metadata": { "papermill": { "duration": 0.011287, "end_time": "2022-09-02T07:49:03.308195", "exception": false, "start_time": "2022-09-02T07:49:03.296908", "status": "completed" }, "tags": [] }, "source": [ "## General initialization" ] }, { "cell_type": "code", "execution_count": 1, "id": "08ae5c0a", "metadata": { "execution": { "iopub.execute_input": "2022-09-02T07:49:03.334387Z", "iopub.status.busy": "2022-09-02T07:49:03.333832Z", "iopub.status.idle": "2022-09-02T07:49:05.321528Z", "shell.execute_reply": "2022-09-02T07:49:05.320316Z" }, "init_cell": true, "papermill": { "duration": 2.005959, "end_time": "2022-09-02T07:49:05.324419", "exception": false, "start_time": "2022-09-02T07:49:03.318460", "status": "completed" }, "tags": [] }, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import astropy.units as u\n", "import time,sys,os" ] }, { "cell_type": "code", "execution_count": 2, "id": "959244d2", "metadata": { "execution": { "iopub.execute_input": "2022-09-02T07:49:05.383474Z", "iopub.status.busy": "2022-09-02T07:49:05.383081Z", "iopub.status.idle": "2022-09-02T07:49:05.393931Z", "shell.execute_reply": "2022-09-02T07:49:05.392730Z" }, "init_cell": true, "papermill": { "duration": 0.025506, "end_time": "2022-09-02T07:49:05.396508", "exception": false, "start_time": "2022-09-02T07:49:05.371002", "status": "completed" }, "tags": [] }, "outputs": [], "source": [ "# Uncomment the line below if you want to enable interactive plots\n", "#%matplotlib notebook\n", "plt.rcParams[\"figure.figsize\"] = (7,4)\n", "from matplotlib import cycler\n", "font = {'color': 'dimgray', 'weight': 'bold', 'size': 10}\n", "colors = cycler('color',[plt.cm.inferno(i) for i in np.linspace(0.1,1,5)])\n", "plt.rc('axes', axisbelow=True, grid=True, labelcolor='dimgray', labelweight='bold', prop_cycle=colors)\n", "plt.rc('grid', linestyle='solid')\n", "plt.rc('xtick', direction='in', color='dimgray')\n", "plt.rc('ytick', direction='in', color='dimgray')\n", "plt.rc('lines', linewidth=1.5)" ] }, { "cell_type": "markdown", "id": "e062738b", "metadata": { "papermill": { "duration": 0.009905, "end_time": "2022-09-02T07:49:05.416423", "exception": false, "start_time": "2022-09-02T07:49:05.406518", "status": "completed" }, "tags": [] }, "source": [ "## Setting up global options for the library" ] }, { "cell_type": "code", "execution_count": 3, "id": "f96741df", "metadata": { "execution": { "iopub.execute_input": "2022-09-02T07:49:05.437833Z", "iopub.status.busy": "2022-09-02T07:49:05.437431Z", "iopub.status.idle": "2022-09-02T07:49:06.459221Z", "shell.execute_reply": "2022-09-02T07:49:06.458105Z" }, "init_cell": true, "papermill": { "duration": 1.035595, "end_time": "2022-09-02T07:49:06.461954", "exception": false, "start_time": "2022-09-02T07:49:05.426359", "status": "completed" }, "tags": [] }, "outputs": [], "source": [ "import exo_k as xk\n", "\n", "datapath='../data/'\n", "#change to your own path\n", "\n", "xk.Settings().set_search_path(datapath + 'corrk', path_type='ktable')\n", "xk.Settings().set_search_path(datapath + 'xsec', path_type='xtable')\n", "xk.Settings().set_search_path(datapath + 'cia', path_type='cia')\n", "\n", "xk.Settings().set_mks(True)\n", "# to automatically convert to mks units" ] }, { "cell_type": "markdown", "id": "c208d1f4", "metadata": { "papermill": { "duration": 0.010006, "end_time": "2022-09-02T07:49:06.482212", "exception": false, "start_time": "2022-09-02T07:49:06.472206", "status": "completed" }, "tags": [] }, "source": [ "# Loading ExoMol files and changing their resolution before saving them in different formats" ] }, { "cell_type": "markdown", "id": "f36f82b4", "metadata": { "papermill": { "duration": 0.009432, "end_time": "2022-09-02T07:49:06.501417", "exception": false, "start_time": "2022-09-02T07:49:06.491985", "status": "completed" }, "tags": [] }, "source": [ "For this, you will need to download the relevant x-sec of ktable files from the ExoMol website [http://exomol.com/data/data-types/opacity/](http://exomol.com/data/data-types/opacity/) into the `datapath/xsec` or `datapath/corrk`." ] }, { "cell_type": "code", "execution_count": 4, "id": "4af2ef9e", "metadata": { "execution": { "iopub.execute_input": "2022-09-02T07:49:06.521527Z", "iopub.status.busy": "2022-09-02T07:49:06.521009Z", "iopub.status.idle": "2022-09-02T07:49:26.435316Z", "shell.execute_reply": "2022-09-02T07:49:26.434039Z" }, "papermill": { "duration": 19.927308, "end_time": "2022-09-02T07:49:26.437818", "exception": false, "start_time": "2022-09-02T07:49:06.510510", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", " file : /builds/jleconte/exo_k/data/corrk/1H2-16O__POKAZATEL__R1000_0.3-50mu.ktable.petitRADTRANS.h5\n", " molecule : 1H2-16O\n", " p grid : [1.e+00 1.e+01 1.e+02 1.e+03 1.e+04 1.e+05 1.e+06 1.e+07]\n", " p unit : Pa\n", " t grid (K) : [100 200 300 400 500]\n", " wn grid : [ 205.12710964 215.64420145 226.70051608 238.32370009 250.54281748\n", " 263.38842243 276.89263562 291.08922462 306.01368831 321.70334562\n", " 338.19742886 355.53718183 373.76596294 392.92935365 413.07527241\n", " 434.25409451 456.51877804 479.92499631 504.53127705 530.39914878\n", " 557.59329465 586.1817142 616.23589336 647.83098324 681.04598802\n", " 715.96396251 752.67221983 791.26254975 831.8314482 874.48035855\n", " 919.31592529 966.4502607 1016.00122516 1068.09272189 1122.85500677\n", " 1180.42501404 1240.9466987 1304.57139649 1371.45820229 1441.77436795\n", " 1515.69572052 1593.40710189 1675.10283097 1760.98718966 1851.27493358\n", " 1946.19182912 2045.97521795 2150.87461054 2261.15230999 2377.08406799\n", " 2498.95977434 2627.08418177 2761.77766804 2903.37703702 3052.23636091\n", " 3208.72786553 3373.24286117 3546.192721 3728.00990977 3919.14906514\n", " 4120.08813457 4331.3295704 4553.40158624 4786.85947781 5032.28701143\n", " 5290.29788379 5561.53725644 5846.68336912 6146.44923561 6461.58442674\n", " 6792.87694463 7141.15519313 7507.29004927 7892.19704091 8296.83863601\n", " 8722.22664934 9169.42477249 9639.55123371 9940.24491055]\n", " wn unit : cm^-1\n", " kdata unit : m^2/molecule\n", " weights : [0.04555284 0.10007147 0.14116799 0.1632077 0.1632077 0.14116799\n", " 0.10007147 0.04555284 0.00506143 0.01111905 0.01568533 0.01813419\n", " 0.01813419 0.01568533 0.01111905 0.00506143]\n", " data oredered following p, t, wn, g\n", " shape : [ 8 5 79 16]\n", " \n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\n", " file : /builds/jleconte/exo_k/data/corrk/12C-16O2__UCL-4000.R1000_0.3-50mu.ktable.petitRADTRANS.h5\n", " molecule : CO2\n", " p grid : [1.e+00 1.e+01 1.e+02 1.e+03 1.e+04 1.e+05 1.e+06 1.e+07]\n", " p unit : Pa\n", " t grid (K) : [100 200 300 400 500]\n", " wn grid : [ 205.12710964 215.64420145 226.70051608 238.32370009 250.54281748\n", " 263.38842243 276.89263562 291.08922462 306.01368831 321.70334562\n", " 338.19742886 355.53718183 373.76596294 392.92935365 413.07527241\n", " 434.25409451 456.51877804 479.92499631 504.53127705 530.39914878\n", " 557.59329465 586.1817142 616.23589336 647.83098324 681.04598802\n", " 715.96396251 752.67221983 791.26254975 831.8314482 874.48035855\n", " 919.31592529 966.4502607 1016.00122516 1068.09272189 1122.85500677\n", " 1180.42501404 1240.9466987 1304.57139649 1371.45820229 1441.77436795\n", " 1515.69572052 1593.40710189 1675.10283097 1760.98718966 1851.27493358\n", " 1946.19182912 2045.97521795 2150.87461054 2261.15230999 2377.08406799\n", " 2498.95977434 2627.08418177 2761.77766804 2903.37703702 3052.23636091\n", " 3208.72786553 3373.24286117 3546.192721 3728.00990977 3919.14906514\n", " 4120.08813457 4331.3295704 4553.40158624 4786.85947781 5032.28701143\n", " 5290.29788379 5561.53725644 5846.68336912 6146.44923561 6461.58442674\n", " 6792.87694463 7141.15519313 7507.29004927 7892.19704091 8296.83863601\n", " 8722.22664934 9169.42477249 9639.55123371 9940.24491055]\n", " wn unit : cm^-1\n", " kdata unit : m^2/molecule\n", " weights : [0.04555284 0.10007147 0.14116799 0.1632077 0.1632077 0.14116799\n", " 0.10007147 0.04555284 0.00506143 0.01111905 0.01568533 0.01813419\n", " 0.01813419 0.01568533 0.01111905 0.00506143]\n", " data oredered following p, t, wn, g\n", " shape : [ 8 5 79 16]\n", " \n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\n", " file : /builds/jleconte/exo_k/data/corrk/12C-1H4__YT34to10.R1000_0.3-50mu.ktable.petitRADTRANS.h5\n", " molecule : CH4\n", " p grid : [1.e+00 1.e+01 1.e+02 1.e+03 1.e+04 1.e+05 1.e+06 1.e+07]\n", " p unit : Pa\n", " t grid (K) : [100 200 300 400 500]\n", " wn grid : [ 205.12710964 215.64420145 226.70051608 238.32370009 250.54281748\n", " 263.38842243 276.89263562 291.08922462 306.01368831 321.70334562\n", " 338.19742886 355.53718183 373.76596294 392.92935365 413.07527241\n", " 434.25409451 456.51877804 479.92499631 504.53127705 530.39914878\n", " 557.59329465 586.1817142 616.23589336 647.83098324 681.04598802\n", " 715.96396251 752.67221983 791.26254975 831.8314482 874.48035855\n", " 919.31592529 966.4502607 1016.00122516 1068.09272189 1122.85500677\n", " 1180.42501404 1240.9466987 1304.57139649 1371.45820229 1441.77436795\n", " 1515.69572052 1593.40710189 1675.10283097 1760.98718966 1851.27493358\n", " 1946.19182912 2045.97521795 2150.87461054 2261.15230999 2377.08406799\n", " 2498.95977434 2627.08418177 2761.77766804 2903.37703702 3052.23636091\n", " 3208.72786553 3373.24286117 3546.192721 3728.00990977 3919.14906514\n", " 4120.08813457 4331.3295704 4553.40158624 4786.85947781 5032.28701143\n", " 5290.29788379 5561.53725644 5846.68336912 6146.44923561 6461.58442674\n", " 6792.87694463 7141.15519313 7507.29004927 7892.19704091 8296.83863601\n", " 8722.22664934 9169.42477249 9639.55123371 9940.24491055]\n", " wn unit : cm^-1\n", " kdata unit : m^2/molecule\n", " weights : [0.04555284 0.10007147 0.14116799 0.1632077 0.1632077 0.14116799\n", " 0.10007147 0.04555284 0.00506143 0.01111905 0.01568533 0.01813419\n", " 0.01813419 0.01568533 0.01111905 0.00506143]\n", " data oredered following p, t, wn, g\n", " shape : [ 8 5 79 16]\n", " \n" ] } ], "source": [ "#let's decide on the spectral grid we want:\n", "wn0=200.\n", "wn1=10000.\n", "Resolution=20.\n", "new_wn_grid=xk.wavenumber_grid_R(wn0, wn1, Resolution)\n", "# Here it is a grid a constant resolution, but any numpy array will do. \n", "\n", "# a more focused logP-T grid\n", "logp_array=np.arange(8) \n", "t_array=np.arange(100,600,100) \n", "\n", "dir_out=datapath + 'corrk/'\n", "\n", "molecules = ['1H2-16O','12C-16O2','12C-1H4']\n", "for mol in molecules:\n", " tmp_ktab=xk.Ktable(mol,'R1000_0.3-50mu.ktable.petitRADTRANS.h5', remove_zeros=True)\n", " \n", " # if for some reasons you need to limit the P-T grid (optional)\n", " tmp_ktab.remap_logPT(logp_array=logp_array, t_array=t_array) \n", " \n", " # the spectral binning phase\n", " tmp_ktab.bin_down(new_wn_grid)\n", " print(tmp_ktab)\n", " # choose any of the lines below for different formats\n", " tmp_ktab.write_hdf5(dir_out+mol+'_R20.ktable') # hdf5 file with current units\n", " #tmp_ktab.write_hdf5(dir_out+mol+'_R20.ktable', exomol_units=True) # hdf5 file with Exomol units\n", " #tmp_ktab.write_nemesis(dir_out+mol+'_R20.ktable') # binary nemesis format\n", " #tmp_ktab.write_arcis(dir_out+mol+'_R20.ktable') # fits ARCIS format" ] }, { "cell_type": "markdown", "id": "cf36c302", "metadata": { "papermill": { "duration": 0.046589, "end_time": "2022-09-02T07:49:26.512206", "exception": false, "start_time": "2022-09-02T07:49:26.465617", "status": "completed" }, "tags": [] }, "source": [ "# Creating k-coefficients for a new species not in ExoMol from high-resolution spectra from the petitRADTRANS database" ] }, { "cell_type": "markdown", "id": "b6b039f9", "metadata": { "papermill": { "duration": 0.053558, "end_time": "2022-09-02T07:49:26.581221", "exception": false, "start_time": "2022-09-02T07:49:26.527663", "status": "completed" }, "tags": [] }, "source": [ "Start by downloading some high resolution cross sections from petitRADTRANS:\n", "[https://www.dropbox.com/sh/w7sa20v8qp19b4d/AABKF0GsjghsYLJMUJXDgrHma?dl=0](https://www.dropbox.com/sh/w7sa20v8qp19b4d/AABKF0GsjghsYLJMUJXDgrHma?dl=0)" ] }, { "cell_type": "markdown", "id": "1460de17", "metadata": { "papermill": { "duration": 0.017046, "end_time": "2022-09-02T07:49:26.632186", "exception": false, "start_time": "2022-09-02T07:49:26.615140", "status": "completed" }, "tags": [] }, "source": [ "Here I am using data for Na. For the example to work with as few data as possible,\n", "I only consider a grid with 2 P and T points. So you will only need the following files in the Na directory:\n", "\n", " * 'sigma_94_1215.K_0.001000bar.dat'\n", " * 'sigma_94_1641.K_0.001000bar.dat'\n", " * 'sigma_94_1215.K_1.000000bar.dat'\n", " * 'sigma_94_1641.K_1.000000bar.dat'\n", " * wlen.dat\n", " \n", "Feel free to extend to the full grid once you have downloaded the whole dataset. " ] }, { "cell_type": "code", "execution_count": 5, "id": "1cef04e0", "metadata": { "execution": { "iopub.execute_input": "2022-09-02T07:49:26.731257Z", "iopub.status.busy": "2022-09-02T07:49:26.730903Z", "iopub.status.idle": "2022-09-02T07:49:27.303087Z", "shell.execute_reply": "2022-09-02T07:49:27.301995Z" }, "papermill": { "duration": 0.63654, "end_time": "2022-09-02T07:49:27.305482", "exception": false, "start_time": "2022-09-02T07:49:26.668942", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[['sigma_94_1215.K_0.001000bar.dat' 'sigma_94_1641.K_0.001000bar.dat']\n", " ['sigma_94_1215.K_1.000000bar.dat' 'sigma_94_1641.K_1.000000bar.dat']]\n" ] }, { "data": { "text/plain": [ "\n", " file : ../data/hires/PetitRADTRANS/Na\n", " molecule : Na\n", " p grid : [ 100. 100000.]\n", " p unit : Pa\n", " t grid (K) : [1215 1641]\n", " wn grid : [ 357.14265128 357.14300842 357.14336556 ... 33333.23696353\n", " 33333.27029679 33333.30363008]\n", " wn unit : cm^-1\n", " kdata unit : m^2/molecule\n", " data oredered following p, t, wn\n", " shape : [ 2 2 4536178]\n", " " ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "path_to_hires_spectra=datapath + 'hires/PetitRADTRANS/Na'\n", "\n", "press_grid_str=['0.001000','1.000000'] # notice the use of strings\n", "logp_grid=[np.log10(float(p)) for p in press_grid_str]\n", "t_grid=[1215, 1641]\n", "\n", "file_grid=xk.create_fname_grid('sigma_94_{temp}.K_{press}bar.dat', logpgrid=press_grid_str, tgrid=t_grid,\n", " p_kw='press', t_kw='temp')\n", "print(file_grid)\n", "\n", "Hires_spectra=xk.hires_to_xtable(path=path_to_hires_spectra, filename_grid=file_grid, logpgrid=logp_grid, tgrid=t_grid,\n", " mol='Na', grid_p_unit='bar', binary=True, mass_amu=23.)\n", "\n", "Hires_spectra" ] }, { "cell_type": "code", "execution_count": 6, "id": "b0e8e80c", "metadata": { "execution": { "iopub.execute_input": "2022-09-02T07:49:27.431842Z", "iopub.status.busy": "2022-09-02T07:49:27.431351Z", "iopub.status.idle": "2022-09-02T07:49:31.051071Z", "shell.execute_reply": "2022-09-02T07:49:31.050007Z" }, "papermill": { "duration": 3.679332, "end_time": "2022-09-02T07:49:31.053492", "exception": false, "start_time": "2022-09-02T07:49:27.374160", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig,ax=plt.subplots(1,1,sharey=False, figsize=(8,4)) \n", "Hires_spectra.plot_spectrum(ax, p=1.e3, t=1300., xscale='log', yscale='log', label='p=1 mbar')\n", "Hires_spectra.plot_spectrum(ax, p=1.e5, t=1300., label='p=1 bar')\n", "ax.legend(loc='upper right')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 7, "id": "21413b0c", "metadata": { "execution": { "iopub.execute_input": "2022-09-02T07:49:31.233206Z", "iopub.status.busy": "2022-09-02T07:49:31.232863Z", "iopub.status.idle": "2022-09-02T07:49:37.626020Z", "shell.execute_reply": "2022-09-02T07:49:37.625022Z" }, "papermill": { "duration": 6.502814, "end_time": "2022-09-02T07:49:37.628481", "exception": false, "start_time": "2022-09-02T07:49:31.125667", "status": "completed" }, "tags": [] }, "outputs": [], "source": [ "# Let's load a conventional ExoMOL k-table to use the same wavenumber and \n", "# g-grid\n", "tmp_ktab=xk.Ktable('1H2-16O','R1000_0.3-50mu.ktable.petitRADTRANS.h5', remove_zeros=True)\n", "\n", "wnedges=tmp_ktab.wnedges\n", "weights=tmp_ktab.weights\n", "ggrid=tmp_ktab.ggrid\n", "## Or we can create a custom g-grid with 8 gauss legendre points between 0 and 0.95\n", "## and 8 points between 0.95 and 1 (as usual with petitRADTRANS data)\n", "#weights, ggrid, gedges = xk.split_gauss_legendre(order=16, g_split=0.95)\n", "\n", "ktab=xk.Ktable(xtable=Hires_spectra, wnedges=wnedges, weights=weights, ggrid=ggrid, remove_zeros=True)\n", "\n", "## choose any of the lines below for different formats\n", "#full_path_to_write=datapath + 'corrk/Na_R1000.ktable'\n", "#tmp_ktab.write_hdf5(full_path_to_write) # hdf5 file with current units\n", "#tmp_ktab.write_hdf5(full_path_to_write, exomol_units=True) # hdf5 file with Exomol units\n", "#tmp_ktab.write_nemesis(full_path_to_write) # binary nemesis format\n", "#tmp_ktab.write_arcis(full_path_to_write) # fits ARCIS format" ] }, { "cell_type": "code", "execution_count": 8, "id": "5dda1489", "metadata": { "execution": { "iopub.execute_input": "2022-09-02T07:49:37.720372Z", "iopub.status.busy": "2022-09-02T07:49:37.719984Z", "iopub.status.idle": "2022-09-02T07:49:41.024676Z", "shell.execute_reply": "2022-09-02T07:49:41.023517Z" }, "papermill": { "duration": 3.388525, "end_time": "2022-09-02T07:49:41.027675", "exception": false, "start_time": "2022-09-02T07:49:37.639150", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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wAQCDBg1i/fr1Zb3EUpkzZw7Lli1j+/btTJs2jZCQEABGjx7N6NGjK7y9iqSwMzRq1ChnR6gi5S6s/4ILLiAtLY2UlBTS09N9/tYVoejBD2WvtXazzFBKPQ70qJDWawM1cJ+93WajeYThP9tsgi1fLKb7mKHVLJUgnB5ERUXRqlUrli9f7jbSduV///sfgwYN4rvvvmP//v3ExMQ4z3kLkVtWKmtkP2LECKZNm8batWu55JJLGD58OE2aNCn3CDk6OpqUlBQKCgoICAggLi7OGbGvefPmHDp0iBYtWlBQUEBqairR0dHO9EJcy/jC9V4Wfq/Ikb2n387Xb12RoYf9mcZ3jQMZAPTBiIAnADZrzZvG//SC++keDBuPRdOjQRJrX50tyl447ShtBF5ZBAUF8d1333HppZdisVi47bbbiIyMdItCl5qa6lROxQPVLF68mOTkZEJDQ5k/fz4zZ84EjHXjTz/91E2pde7cmb1797J//37atGnjjIAHJzeyL1xu8LUzoE+fPowZM4a3336bKVOmlHuEbDKZGDRokDNs7yeffMJVV10FwPDhw/nkk0/o378/8+bN46KLLsJkMjF8+HBuuukmHn74YQ4fPsyuXbvo27cv4Pk+FTJnzhyeeOIJ5syZ41zfr8iR/Zw5cxg0aBDLly8nKiqKqKgon791ReKPB715GIFw5gJfAtcBqypNohqGNe/krSSrktyUdLoHG1OXn8ankZwTQss66TXWx78g1ETCw8NZuHAh06dPZ8GCBQwaNIitW7fSq1cv5syZw2OPPcaTTz7JWWedVcISu2/fvlx33XX07NmT6667jj59+mCz2di9e3eJKd/Q0FC01gwdOpTevXsTGRlJVFSU33KOGjWK/v37s2PHDlq0aOG0gt++fbtzKcEXjz/+OB9//LHf4XTPP/98brjhBn7//XdatGjh3DL38ssv88Ybb9ChQweSkpK47bbbALjttttISkqiQ4cOvPHGG7z00ksAdOvWjRtvvJEzzjiDoUOHMn36dCwWi9f7VMiJEyfo2bMnb7/9dpm2DXqTuzghISGcddZZ3H333c576eu3rkhM9lKmoZVSz1K0Zm8F9gPfaK2zK02qCqBPnz72qtjTmLB+G/ETHgag9+8/VXp7J4PNauXfS4x9oIfSI7hrazzPtOpEv6aJJLaL4fIPH69mCb0TGxvrNr0lCOVh27ZtdO3atbrFcJKenk5kZORJ17N582ZmzpzJG2+8UeJcRkYGERER2O127r33Xjp27Ohx+r4sDBs2jG+//ZagoKCTqqeq8XWf2rRpw9q1a2nQoEE1SFZ2PD3LJpNpnd1u92jA4c/I/iXgNa31JK31C8B3iBG3E2tuzRjZ22w2frn6Aedx48mPATA1IY70vEAa740l+3hKNUknCMLJ0L17d48KDODDDz+kV69edOvWjdTUVO66666Tbm/hwoU1TtGD7/tU2/HHGn8NRgz7wq7gC8DFVJGRnlLqauAKoA4wQ2v9q1KqK0aAngbA71rrd6tCFk/kZ2RVV9N+c3zjLtaPf5pGpJCeF8iZsz9iT+JRANKsuRwM7kU3+xb+GH4HV6yYW83SCoJQkYwfP/6kR/KnA+X1J1BT8EfZdwBcu0KbAL+6hkqpmcAw4KirVb9SaijwNmABPtJav+StDq31fGC+Uqoe8BrwqyM4z91KKTPwKVB9yj4to7qaLhVrXh4bntfkLV9MHezk9rqQ8197FIvFgjX+CGCM+McsfpWvet9Ep3opLLnsFgb99Ek1Sy4IgiBUJP4o+zjgdqXUSoyIqHcApXsnMJgFTMNQyAAopSzAdAyL/jhgjVJqAYbin1Ks/Dit9VHH96cc5QrrGQ7cA1Sej0I/KMjIrM7mvbJpxvckfTGbSDLIMkfS+YWnad6/aBdlbq6xl9NkMmEymRj287vsHDWKOnlHmXP2SEb881V1iS4IlYrdbi/3djVBOBUozdbOE/4o+/eAV4EtjmMT8Ig/lWutlyml2hRL7gvs1lrvBVBKfQVcpbWegjEL4IZSyoRhN/CT1vofl7oXAAuUUj8CX/gjT2VQcIqN7OOX/cOGSVNpTCIBBQHkDbiMCyYpAoLcf+qMdKOTUmiFH9moLp0//5zV199Kh3qpfNprNDf/8xlmsz9mHYJQMwgJCSEpKYno6GhR+EKNxG63k5SU5HRW5C/+ONV5XSl1jCJF/IPW+mRG080B18gIcUA/H/nvx7ARiFJKddBav6eUigGuBYIBj9EjkpKSmDhxovO4Xbt2tG/f/iTE9kz6lu00c3z3xzdyZZG9YgthP/1CRFA+DWwm4iLbEHrrMILqhbN8xfIS+f/7yOvO765yFzxyF3tf+IRu0cn82P9Ggh4bS3B0xEnJdjj+OGFhwdStV36r44yMjGq9v0LtwGQyER4eXqbgLJWJzDII5cFqtZKZmcmBAwf8LuOvf/tfgDRgNRCglIrUWvu3cfIk0VpPBaYWS4sFYn2Vi46OZvLkyZUnmIO/Fq5xfj+//wAswVVvoWq321k+5T1CAvPZRxsumDqBvj08B3C4Z9yzdOzUmiOHk5xpxbe05V0ymC/7j6N7g2RS3/yQfcGdufX3V8otX+OIAVgsFg6n/lnuOmTrnVAbkedaqCpKnaNVSl0M7MZwrtPF8fe9k2gzHnB1CN0C/20ATjkKkpOd3zOqKWzsyhc/Jawglfh6vbj+93dp5EXRA3z79a+8/MKHbmlHE5PdjoPCgrllw+csPdScYIuVnmzi016jif93T7llrMzwkoIgCIJv/FmQfQ3YirFWD4YnvQtPos01QEelVFulVBAwElhwEvVVK/YTRYryxNbyK8OTIfmHBWQXWOh8l2c/26Xx4N0veEx/eOdHJJx5NSdygukWnczhCffxeqfbT0bUSiU9LbNEx0UQBEHwT9l3AL51OT6BEf2uVJRSXwIrgc5KqTil1G1a6wLgPoylgW3A11rrLb7qOZUxZZwgLc9YDUnevKvK24+PXUPT8Cx2nqhH10t6lqmsxRHp7o/FqziamMTvv64skee6qbfTceqbrEtshNkEMS3jWTf4Mpa8+LXf7QyuV4fu4aFlkq089OtxAz3al7DxFARBOO3xZ81+N3CV4/sQDMO4Hf5UrrX2ONTUWi/Ci2FdTcKWn09IQQb/pAXRu76V3N37qrR9u83GxienUDfYzNBZz5S5fNyJpTStcx4APdpfCUBiRsloV617t+WOTbOY2OoBLm2zn4igAur8/jGLf/yCAd99THijej7bmdDJBFS+LUNSUkqltyEIglAT8Wdk/xRwNsY0/uNAa0faac/hpesIMNvZkl7A0exAbHFVq+zf73ErjcKy2XCsIX0G3cqxo76nsGe8VxSOcer7T2E2m3lj+pN+tWUymXjx0Du0mz6dxQdaAVA/JJfto27izwuuJP1Q9dgrCIIgCKVTqrLXWi/EcI17n+PTQ2t9akd8qSLifl4GwN+pGezMgLD8FLISj1dZ++2i0kjOCWZ1p0ZYrVZWr9xIelomx4+dcMtnt9v57OPv+e8jhiPE+yeMYcToywEYfcuVZWqzZc9WPLH7fQ5feCdHMsIACAssYOfYsawbfBmx19/rFkGvPM4fykuAyUSQbGMSBEEogVdlr5S6tvCDoewTHJ8exWLcn7bkbVxHijWcg7l5/JGUjdkE296vGt/yBdnZ1AvJISEznPxAI80SYOHsrtfQre0Vznz798Zx4/CHeOT+l+k/sBd/b/yapybd41bXmi3fOL9/8/WvfrV/5dPXMPDbD5mzoxN51qLHKPLEXv4dcgXLLriStANHsGZXXXDEz3rVY37fOlXWniAIQk3B15r9PDxHtzM50i2VIlEN4dCvKwi3ppHYrg+sPcya9AwybE0wLfsDm/VOzJbKvT0bPv4ZswlaDx2AdacRn95iMZOWanj0S0/L5NUXP+L9aXMICw9l0ksPcMc9NziN8lxp1bop3/z4DtddcT9q3LMU5Bc4R/6+qNe8Pq/EvU3izgTeGjyZy9ruJzzQiAIYHljArnHjKu6C/SAqSLb3CYIgeMLXNP5zXj6THH9PW+x2O3umfkCezUL4VRc700Mvuoxwewab3qp8d/1rp88HwNy0hXMPu6sij+l3M+9Pm0PPXp1Zuno2d9830qOiL+S8C3vz0hsTAHjgrhd4+om3/ZalcacmTDn0DvWeeIH5u9ux+Xh9j/nil/2DNb9mhAQWBEGoTXgd2Wutny387ghe08lxuFNrfVoPoTa8+jGR2Ylk97yQnMAiBXr2Y7fwZ+xiQhbOI2X4RdTt2KrSZKgXkkuu1cw5t1+KdfHvAIy65mHn+YDAAGZ+/iKXD7/Qb3ect955HclJqbwy2ZgReH/aHI/W+d7ocfmZtPjreaacO4ktSQ0ID8xjWLv9zvMJkyaS4PiebzUTff8EOl53kd/1C4IgCOXDHw96Z2Dsh9/s+GxVSnWpbMFOVXbN+YW8n+eRZq7LuS8/7GYBHxAcRIenHseMjY33PEJWKdbx5SEzM5udm3fRvm4qAWYbQWHBWAvc+16XXnEeS1Z9xhVXxZTZ7/aEJ8fxx8qiELeNIwY4g+b4Q70WxtT+y4feIjM/iB/3tvGYL9BiI02/WibZBEEQhPLhz9a7aUBT4EvHp6kj7bTh+LYDHPh1JSvuf4GU998mhxDOnP4KASFBbpbv2dm5tBzUm9AR4wi1pbP2prtI3ra3QmUZc8OjvD5sPAApOSGYTCZSUowwBW3bt2DPkcV8OucVwsLKFhHJlW49OrLtQNGGi/ZNh/Dkw6/7KFESk8nE5F2vkpEfxJwdnZi3swP7U0sGwjmxw/9ADoIgCEL58EfZ9wGe1FrfrLW+GfgvRpja04YNL0zn+MvPEbz1L9JCm9BzxjTqdzLc+7uO7I/EHwWg593XE3zjbQRZs9iuHmTj25+fVPuH44/y+Sc/AHBw9XrubG+M5NckNgZg6+bdAEx+dTwRkeEn1VYh9aOj3KbwZ37wDY0jBpCe5v8oPzC0yJGO1W7m74SmzNnRib/imzrTs05USTwlQRCE0xp/POglAxcrpQo93g0Bknzkr3W0G3MNqVu60eCcnpx9fi+3qfG9u4tCZe7dc4h2HYxOQM+7r+dgp9bsnfwq+QtmE/vrr7S57w7aXHae3+2mnEjjnTdns2jBUvbuPsQVwy9kao+icLOpuUFkZ+c6jy8acu7JXKZHEjNW0DhigPO4Q7MhAMSnLCMgoPTH56nNk7m+w1h6hTR3psVlRLL6iI2+TROx26puH74gCMLpij8j+4+A4cAux2cY8KHPErWMtkP702vCLbS44KwSa+A7tu1zKtndO92npFtddA4DF35GTvcLCcpKIum1ycRefgub9FdY8/JLbfeZJ6cy7Y3Zzg6FzWYn2FzUfqo1hzYNBwHGqL6y4mInZqwg9m/3HQbN615Ay/qlx0MKCApgQ85htue6e9grVPG2gtPa1lMQBKFK8MeD3gvA7cB3GAFxbtNav1jZgtUEko6nEB+XSP/zetGiZWPWrS4ZzycwNJiBbz9Bzy9mkdWpPwHZJ8j75hNWXHoDSbu8R/Z9+fkP+Wq2e/iA4sp8d17RBMvt99xwklfjm67d2pewzM/Ly6dxxAA++/h7r+UKPej9nX2Q+q2jXc4Y1yLKXhAEofLxZ2SP1nomcBtwF7BAKeV5I/Vpxp+xawEYeEFvzh3YixXL/3VzFetKRNMGnP/u05z70zzyu/UnzJzLsU2ejfe+m7uYN17+uER68YF7ms3wTnf9yEtP4irKRmLGCvYm/OaW9sj9L9M4YgDXD3ughOW+3eV+XPNCUYekcGRvF2UvCIJQ6fiz9W6sUioJY+3+mONztLIFqwks/vkvoupG0uvsLlx0SX+OHzvBqr82+CwTEBJE/Z7GzkW7vWTHIOVEGnff6h7BzgQEmUx0bjnUmfbDnrbO79M/KnvEu5MhPCLM4/77P2PX0r7pEBpHDGDHNiMokKtr/LotXKLjFaaLK3tBEIRKxx8DvdcxXOP+BcgwzEHKiTQWzl/CiNFXYLFYGHrF+YSFh/L5JwsYcP5ZvgubjT6W3Vrydl5yQUkXs0+0bcD5jfK5enWaMy2rIPDkLqACKFT4rgZ8hVxwzmgAevft5kwzudgbFOr68PoRCIIgCJWLP8r+KPCO1lpXtjA1ifenzSEnJ49bbr8agPDwUP4z7io+mP41Dz9+K+19ec9zKHs8TPkf2HfY+b13RDjPdwsADGO+EHPJiZigoFND6VutVppFnV/inKsdQ2BIkazOAb9Y4wuCIFQ6/qzZK+B5pdQspdRUx8d/x+m1kL27D/Hu1C8Yfu1guvXo6Ey/96GbCY8IZcJ9L3lduwfA7HCxW0r41+ubuu+ZNwHpeYEcSCtyTvPtolPDv5HFYiExY4VPQ8EunYe5HBWO8n3cJ0EQBKFC8EfZTwbqAf+hKKb9fZUp1KlMako6t908kZDQYJ590f02NGpcn+dffpCVf63nhaff9VpHTk4eAOvXbfWaZ3yrBpxZP9ctzeT4FPURTJx9zhnluIrKY/Kr40lI/4vHn7rD4/l8u7F0UXgNdl+dIkEQBKFC8GcavxPwmeNT+ubwCkYpdTVwBVAHmKG1/lUp1QqYimE0uFNr/VJVyLJ75wHuGvs0u3bs57O5r9C8ReMSeUbefAUb/tnO9Lc+JzAwgCeevrPElrnkE2lEAn//uY6bPLTTMTSEIU1L3ur7W9fDZLJjd7Fq8xXJrrowmUw8/MSt3Dj6Mnp3vdZn3uzMnCqSquaRm5vHD9/9wXUjLq00HwqCIJwe+KPsPwWaAXuBlLJUrpSaieGE56jWurtL+lDgbQzDv498KWut9XxgvlKqHvAa8CvQA5intZ6tlJpTFpnKw5RJ7zP/m984sO8wdaIi+GTOywy62LO3OpPJxOTXxpObl89br37C7p0HeOXtx4huUNeZx+5Ye/f2+n67Z7DH9P4N88nMD6CmrHK3aNnE67nCaziWmEybKpGm5vHK5I+Y9sZsIiLDGXpFSXsIQRAEf/FH2T+E8W52XYy1+1l2FkbQnE8LExzhcqdjuN2NA9YopRZgKP4pxcqP01oXbvN7ylEOYBUwTyk1DmPGoVJp1rwRvc7uyo2jLuPmW4fTuEkDn/ktFgtvTHuCjp1a8+Kz77Hyr/X873nFDaOGGi5mHaM0T8p+cL2SwWJcMWF3asqaMNabt3Aq1w97wMMZQ3qrTTZ4eONoguE0KTVF4gcIgnBy+KOwl0H5BpNa62VKqTbFkvsCu7XWewGUUl8BV2mtp2DMArihlDIBLwE/aa3/cSTfCjzjqH8eUNIDTQVyy+3XcMvt15SpjMlkQj14EzGD+/HwfVN46J4XeeeN2dw3/mai8woAzwYTEzr5NqMwmXCbxj/VOT+mDzvjfqFTC3fHP4UPlDW/oOqFqiGYHVsVfRp7CoIg+IFXZa+UGgT8qbWOqeA2mwOHXI7jgH4+8t8PXAxEKaU6aK3fA34GnlVK3QTs91QoKSmJiRMnOo/btWtH+/btT1L08vH4M6NZu2obX3/+G+PViwyICuepLgHkZGURGxvrltf3uN5hoOf4bjGbS5Q/VXn7wwk8+/iHRZ4aHBexa/tO8v24hoyMjFKvtfDexS5ZUtLdYA0kIcGIJ7Bt23ZiY8UfQW3En+daECoCXyP7qUArpdTvwE/Aj1rrwz7yVwpa66kOWVzTNgPX+yoXHR3N5MmTK1O0MjFo0CAeeeIeVv21nnfGTQJySU/NJCYmxi3fuudfLrWuQkv2c67uW6L8qcyH7ywAR6ygwg5L61at/LqG2NjYUvMV3rvzBwzEEhzkM29N4Pu5K4F1dOrUqUb9zoL/+PNcC0JF4HXOWGvdA+iGoegvA7YppTYqpV5WSl3oWHsvD/FAS5fjFo60Wo/JZKL/eWcx6JL+AJjLMfg0mewUrneff3GfCpSu8nnxtYdLrAflV8I0fn4x//w1lWbxR1nULwrrwYTqFkUQhBqOzzV7rXUcRjjbD5VSAcB5GIr/HaAVULccba4BOiql2mIo+ZHgcQda7cWHgV6pRSka2de07ViRdSIoHNMX2h0cO3K8QuouyC3ySZCTkk5Ig3o+clct8XGJzJm9iPGPjy3Tb9buRCIEQMDO/ZUnnCAIpwX+GOgBoLUuAGIdn8eVUs1LK6OU+hKIARoopeIwjOpmKKXuA37BsMCfqbUuGRu2FmN3vPAt5RnZ42ItWcOUvZu4jouIqlualYJ/5CWlFn1PSfORs+oZN/q/rF+3jWFXD6JTlzb+F3TcL3E8JAjCyeLLQC8aeAVjKn8pMElrnaWUGga8rbUu1dpNaz3KS/oiYJGnc6cDha/u8k7jF46Ka9rI3uzi27+ww2LzEAyoPGQdLZohyD6WUiF1VhRZGUYo4jJb1Rf+vFZR9oIgnBy+9nm9j7HFrS/wKLDE4dgmHMQPyslQOLL3x1exx/KOv+YapuxNJlOJcADWCopnnxl3rOh7/KkVgdnuuOiyds7sJkd0RAkWVGNZs2oTRxOTq1sMQfCpbwYDX2C4qb0R6AIsxvCTL5wEtmxDwbUJqlvmsjV5zd5V3MLZifKO7L//5ncaRwzgyGFDyWe6rP1nJ9QOZe8c2bv0kLKycsioJQaIpwPDLr6LoRfeVt1iCEKpg8ulWusMrfU84HIMP/mvVb5YtZuCbMMCvY7Fs1tcX7ha49c0TO7a3vhTTmX/+ScLANi+dQ8AWXFFu0JzD3u2XrfZbMyb8wvWClo68JcAu52e4WFlNrGwZxjPSUFakfHhWZ2von3TIRUpnlDJxMclVrcIguBT2W/FCEADgNb6LwwPdzVT05xCFK25l72s68je7CG+/alMQIDFuQTh9KB3ksZnhR2I7P2HyLeaSM0NIP+IZ3cQn3/yA/feNokZ7807qTbLyp3B+bzUPZDMg2WccSgw7lJBWlGwoJQT1eM6NzHhOHt2HayWtgVBOHl8aYsJwLeOLXeA4f4WY/vduMoWrHZTuPWu7Guxhrvcou81idZtm/Nn1h63NHs51+xLrP0fO8KJvACO51owpyV5LJPssNg/erRq11BbBBshjfNTM8pUznmJp8Cafc8Owxlw1sjqFkMQhHLi1Rpfa70KI+BM8fR/gX8rU6jajtNAr5zKOsDs2Kte/TqgTJhMJlJDCvg5fRs3h7Yx0v5Ye1J1jrhqPPFJSwjNSWZ7ZiDJ+Xba18ki/eARIls1dctb6Gu+urayld3GonDvXQ37oQVBOOUodR5YKfVQFchxWmGzl39kD9Aw1NjKVa9+nQqTqSpJtGaQYFwCHeqmsm7wZfx+v2EKYrVa/bJe7paazqJ+UTQODODAj38SYLKxPi2f1SnGlPeer38uUaZw2cNaTVvZymyNX+KLIAhC+fCq7JVSJqXUNGBMFcpzWuDQ9R6n4QtssOZYGMnZ3o33Nh+P5pOUNZwfU7Pc5ULRNX+espn5u9s50+tu/Z11gy9j3cVXctkZVzmn3P9Zu5VB5/6HnJw8t3p621IA6B4RRvy3iyiwmViSnM7faRlkWYNIXRJbom2LxUyk2ez3fne73c4bL39M3KEKcldb7mUX0fY1lSsbRNE6pOyGuIJQ0fga2f+AEWymbLFdhVKxO2578ZG93W7HYoJsm5XbNiXzY1wYKbklA7oU2GuWYZ4rrqPbD5L+5aY1uSyPb+ZMs5jtfNArgn03jiRuxSaeeXIqWzfvZt9u9/AJhbV0iQgkOH4HOzNCSLEWYMNOftvuROQcJW7JasDYrnbo4BFCN+9izjmRRO31L57Tnl0Hefn5D7l11JMnd9GFlHE63hxl/PbBzYoi3n3YvQGfn9mgYuQRKp172sMb3cKrWwxB8KnsLwO+11qLCW4F480avyA7F5MJsm02cu0FTI8/wrJjhoLYnlo0OkgrcB/l1mRSbDl8dOQQc3Z04se9bci1Fj2Sv9/zUtEe9WI7Dwo7Slc0K8BssvHxwSIXuU3vGEGezcLul6diKyhgzA2P0ueM64g8bHQY6iX7Z6BX4DAezMnOLSVnJVF4zS7PSfPwfOqF5FePPGUkNSWdW0c9SdLxlEqpf+f2/ae0w5pC25DQgKrd6ikInvCl7G8CxiilfIaSFcqOcxq/2Mg+dec+AI7nFaV/ejiZD/da+PpwtjNtbvL+SpexsvC0bn3UmsH+vGQy8oOYv7sDc3Z0osBmwmKyO6fcXb0F5ucXuN27o3XasSUzy3k89u7nMQ24lMj8JFY+8ALLl65za8/f8XW5neF4wVRuQ7vqn8a/u0U0Uzo2LFOZjz/8lkU/LOXdd76sFJnO73MTfXucwq8niWkgnEL4CnE7B7gYwz++UIEUecBzTz/6z3YADmYXjdyy7Da+O5bMuvQMjmUHsupoGCnWmjuy96Y4Ewrcg9dY7SYCA6BLdi5fnxUNWUWj62sHjqVxcNFx/QducSu7f288fZ+/l5SotoTs+JvXuzTgvpbRmIpc0vklq1M3+9D1Q2Nu58Vn3/NdD+XbBZCcbNyTlOTqD+wzvHkBZ9b3/7mz2+0UOMIXV6anx+ysnNIzVRP2gooP3ywI5cXn4q/WegWG21yhAinceld8ZJ+ydgM2O2zKyCpRJt9u55aNx3lu35EqkbGq2ZF3jH2NimYvrDYzDUMyuT44iYigAtL/2sLcidNY98L7PBtZtI9+5NoMCAosUZ/ZbObCL94iJbI1XaPyubxZASG5xj731JR01q7eXKpMdkof2f+7ditvv/apfxdZRmVfuIyQlVnyeTjVmfHePF59cQZw+nrhKq93SEGoDEq19NJa76sKQU4nTGYzNnsxX/F2OwW7tpKYHUSKtfaOCHwN8tIiCkjBGKllFwQQFZxHsMVQkDGpO2i36kdYMp8Cm4l1ScEM+zuVNKvV61a6gJAgYr6ZzoZkw96hkdXoJDSy53LvZfeXKmtBVi4zezTgzIqaji3ry78Ga8m5XxVtfaxpMRwqClsFBXkShIqg1Hj2SqlWwENAW4z48wB2rfVVlShXrSakRST2A5BrK5oW3fPNb4Tb0vk5qeQotTbh68VvMpv5PmUTAPPTLZwbVYcOocH0iIIjuVbybHD2fWO4YcIbbuWKu9zt0LGV87vFYuHJXUdpFxLCf89sRjOS6Fo3F90rpFRZ07fto0lYPtfkV4yLWnsZ9/dbHLeq1H/SUxEX+4STUfZHE5Po0f5K5v88nf7nnVURklUZttN8Gv+Pxav4YPocvvzujdO2w3cq4c975HvgzGJp1W8xVIMJahCGzWYiG2PdOT8rh8PvfYDFGsiXCaeudXFFcO2Nl3j1Te/6Qki1Wvkl+QS/ALjuuium6ME9cl7vvt0IDi65r3lvTg4ZY0dy24OvontGEGyx8efYx+k64XYa9OjoUR57jvH7FNgqZqujyV42ZR9gMv7Ngk01z9DL1RbxZF70q/7aABjLAtWl7Bd8+wf9BvSkcZOybXl0XbO322wldpTUdm4Z8Th5eflkZWYTHhFW3eKc9vjz9LUF3gY6OL63Bdr5LCH4xGSCfLuZYLMxfb/6jscJt2cQdvVIsmq5Be/zLz/IpJce8HjOXE7/wa7T+N17dGLj+u0UeBhVmc1mjuTlM259OnvSggg9uJH9Dz5A7KU3sfKRVzm6fodbfpvDwMzqYz79lqb1OD8qwut5cFF8ZZzGD3HMo4Wa/e9bZ2XlsOS3El6uqxx7BY3s7dXsKjgzI4s7/vMUNw5/qMxlbXkuyv40XL/PyzMMjZ96/O1qlkQA/5T9c0A3oBUQ7fIRyonJZCKnwEzdQPjzlkcJSdhJcrOzOOuhm6pbtErHYrFwp7rR47nyRvELCDC0YkhIEOdd2JuM9Cz+XbfNQ9tG/ScKCrh/2zFavPIG2R36YirII+jfPzg04SGWDb6OpaMfZsObn5GfYESp8xWHZkQrG092MdpPTkr1GGu+0D2yNcc/a/Z/123ltRdnEOZQ9uFlUPZPjH+NkVc/zPate/0uUxnY7XZ6R4azqF8U4fviSy9QCp46DB92b4hqUbbtgGUlOdnw5Fie+1mQW7RjpLDj6C+enqOayqq/1le3CAL+TeNHYWzBK26Vb/GQt8JRSnUFHgQaAL9rrd/1lFYVslQYJhMn8sx0qJML8VtIbdKNiz5+HoA27Zqzf2/pL8dVG76ubCkrDbPZzIHjS2jdYJBb+uqVG8tV347t+wH4KXYGTZs1JCgokO+/+Z1z+vVwy1d8GrVJn6406TMJgMMrN7Lvqx8p2LmN8MM7KFi4jXqOfI1DclmuJlG35xk0uaAP9bu0xmw2lxitdW19GVF1I9kZ94v79ZoKQ9UauwFeeeEjLrl8IL3O7urxeoZeeDsAX51VH4CoAP9ne3btPABAenUrC5uN65uGAvnUj4srdzW+RvbNw/NoXonO6eIOJfDTD8vKXT4/u6hzl56STr2wUL/K/b1iA8MvuYcvvn2dwZf0L3f7pwqyXn9q4I+yHw8cAP4CyuS6Syk1ExgGHNVad3dJH4qxNGABPtJav+StDq31NuBupZQZ+BR411NaWeSqbkwmE1/EZ3ODLZRuY27goodGO89lZ+Uy6j/DuOjic7n39knOqbDitG3foqrErRRCQoJJSP+LJpEDT7quz2ctoNfZXTije3sAhl5xPnO//InHn7qDyDpF2sDs46XTrH9PmvXvCRg2FPt/XsHuhX8QuHMjZhPU2b6K3B2rODB3JrtsFvICIzGFhVNY+65v/+Dh1tEcybGRl5FNUEQoOTm5fDd3MU0dzeYnHgPg9Zdm8vpLM0nMWOFVnnCLichAozNRPygfa14eliB318npaZm89donPPG/OwkMNP6Vy+IIqKCggLde+YS77x9JRGTFas1rrLmcWc94du0V8bKvBoXRu+u1J1W+wMXz4kdvf8mjLz/oV7nCbaF/xq6tHcq+ugUQAP+U/d/Aj1rrt8pR/yxgGoZCBkApZQGmA0OAOGCNUmoBhuKfUqz8OK31UaXUcOAe4DOXekqk1RTMJhMr09JZmZZOoouit9vtJCelEN2gLsOvvYjBl/bn+aem8/GH31ajtJWHyWQiMWMF1w97gD9jyx/qdse2feiZzzqP1UM3seC7P5j25myefOYuZ7q/ywSBYSF0vPYi0ls14bKYP+h1dhe+/ep1Di9ZTfK/m8nZdxBSjhOcmuhcCEub/ioXNzG+b7rqWtICoinIzqRTYA44NlhEbIjln7da8NVZ0cyNs3s12rqnRTRXNjemfVccC2FAwxy2z/iOM+66wZnHbrPx0vMf8NG7c2nXviWjb7nSSC+Dsv/268W8+uIMTpxIY/Kr4/26N/7SIcjV2c3p+bp3VfbWMvhKKFxu8jdgkyD4gz/KPhR4WSl1DZDqSPNr653WeplSqk2x5L7Abq31XgCl1FfAVVrrKRizAJ7qWQAsUEr9CHzhLa2m4O1FnJaaQX5+AQ0bGhPI4eGh3H7PDRxNTObSK87jgbteAODnpR9VmaxVwbyFU2kcMaDc5c88qwvXXH+x8/is3mdw/chLeeeN2Vx8aVG9ZTUAtLu4OgxvVI+OIy6FEZe65WkWMZD2YUHo5+7hnw8+p2OdAlJyLYRFWIm0GC/7nanBHMyCi5vmYv9hNnWC4LZ2sPbiK8gsCMIeGgFBIdgtAZhsNqeiP5ofxiv7Evm0XgMKvv6UP5csc84k5GRls2eXEbbC6rqfuwzKPsex2yA7u+K90FWUerfb7TQIDChzEKFTgXwXZR+Q77+BnqkSQjF/OmM+VquVW++8rsLqFGoW/ij7wrfl+S5pJ/Of1xw45HIcB/TzllkpFQNcCwQDi7ylFScpKYmJEyc6j9u1a0f79u1PQuyKY/fu3c7vsbGxzu97dhlrmympx93S/3PnJaSmZDiPU9ISiY09WulyViURkaFkpGeXntEDY+++nGXL3NdWr7imH3/GrmHkNQ8507Zu3eqWx/Uee2LndkOZZqSnc/t/HmfQkN40b9nILY8VOzuzcknq0ojHdh5zps9Z+DAvvfwlK//c5EybEW9m9DmdaXr8OPl2O10iTeTbIKAgH0tuNhaTDbvdBBZIzApmbrPm5NmPsKxDd/od2k/943udWvQ/1z/EsuVbDDl37XReS1q64RPgn3/+IS3D9zOyY4ex+yDhSILPe5GXm++0yC3tnhVR9Io4eNB3/WAEGwoMCsBicTcFOrB4GZ+eHc7Pew+612G3E1lmmU6OsraTsX4rTR3fU44c8Vg+IyOjRPrevXsAOHTwkM82k46nEhQUSGSd0re1Pfqg4fW8bafKsa3+ZeFKmrVoSI9eHZxpgSYTdQMsZGVnVdlvJHjHH2XfttKl8IHWOhaILS2tONHR0UyePLmyxDop9u4ocvcaExPj/B63fwEAI0Zd43FNvvPqM6hXv06Z9/vWBNZtPZv773qBXxctL1O5T79+hUsvP8/juTPO6ME1Q+91diK2bjrkdt713oMRYMdsNmGxWJj5/jc0a9ISgPS0HH749k82/LOHNZs9+wgoXldMTAyfz/jNLS3VakOvMnYJmM1m5zRt8bX7wlmOm3ufC0Cz3j0ZOuMF8rNyeOnskVzePJetG4qswzt16uRsv0XoLC5vGc1ZZ/Wi9znd8cWB3SeM+ps1KyG/K00iB/Jj3zoAXHjhhX7NGiw2uftD8FU/GNd85dWD+Gi2+/9s0qzFALQn360OW14e//pZd3lwNQzsWyecrRnZZW5n24FUCifvm0RFeSwfGxtbIn3fziRgIU2aNPXZZuOIAQQGBhB3wn8jwuL1rVz+L1Nf/4zZ814t0dEqCyOG/Rdwf5Zf6hxN16h8HkgKrZTfSCgbXpW9Uqqu1jpFa32gtDxlbDMeaOly3AJ3tym1Hm/TybG//U3DRvVp3baZx/Ndzqi97g3q1qvDZ1+/Uqbp/EVLPqT3Od28nm/TtjmLlnxIr07GitPPC/90O//sf98hNycPTCY6dmrNkxNep1uPjnz85RSenPB6ifrKuufb15qr2WxyuspvHDGAj7+cwuVXXuiWZ/Yso/NXaKQZGBZCnsMxT6CXfew3k0aLZgWkrdoEpSh7T+U94tKWLS8PiwenRSXqdPnua+uiKz/MX1IiLW3nMWMhMduoJDUlne1b99K7Vyf/Ki0nhb91dKCFZ7sGsD2l7Fv8co4WdeotZdh6V6h0/Vmzzy/jlr7i3HnL0xxNTOL4sRPlHkTs2rHfY3rXKOO5rWf3b1Hnj8Wr6HFmJxo2ql8uOQTf+BrZxyul5gE/AGuAwxj/w82APsBwjKl03x5FSrIG6KiUaouh5EdihNM9bWjRyrDkcu1JHzuazOKf/2LUmGHl3m9eG0jMWMHxYyf43+Nv8+3Xv5Y4f865PXjxtYfp2auzX/U1bdaQI2nL+Wzm9zz20Ktu596dWjL06pZNu8gvtgOi8KVb1i1EvtZcC4r5Tf9q9o8llL0ncq2GEgrzIMuxo8kEmYx67QWlKwp/Oy+ufdP8jCw3ZX/k8DF6dbqKjz57gSuvuciZ7irdSa22OxWeUePNNzzK6pUb2b1nwcnU6jeNg4z/0cYhZb+KnOPJFO6fsBT4v5HJ5Ljhxd1AVwYV4bQopt8Yn+fvCMv1eR5g/754Rl3zMF3OaMfS1bNPWiahJL60ypPAhcDXwF4gB8gG9jjSznfk8YpS6ktgJdBZKRWnlLpNa10A3Af8AmwDvtZabznZC6lJFBqN3fPASGfa61NmkpdXwB1eHM6cTjRoWI93Zz5LYsYK52fOwhdJzFjBwt/e91vRF2I2m7nl9mvYm/g7F19a+lam4i/AIgv3MjWLrQzucS1mi8e2Abftl8kOJR4dEEiv8DC+71MXe6LhYrl7u2HO8m+98glJx1N8tlma5X5mRhY2m83NoUZusXC7WzbtAuCLTxe6pRdX9sePnfApizdC6ht70ws9Fm9yeDnMzyldgZwMdruduhYLbYKN5QtrKaNTm81W4rcrOJHq/B6U6394YBMQUy+ySnzrl2X3hjeKd1yLUyegdOPEfj2MnSZlcV50/NgJNhbzeil4x+vIXms9FZiqlDofGIjhQQ/gILBca13q4qrWepSX9EV4Maw7XQiPCHNOwS35bRUff/gtd6gbae8SxEWoWMLDQ/n8m9dZtmQtN1zp2WUvgK3YvLPNWvrIvnhM+x3b9pWoxxeF2608Kfssl5jth3PygACaB1k4p0EwgZY8AjcWvfAKwybbMNZjh109CK8cOsqiflEsPnK8xKnkpFS6tr6MR/97G6EuM01ZSalEeQgl4FtZ2Blw1sgSzob8Ibh+GBwBW2jh1LZxffYyWLeXB1tBAV/0iSA1t3QlmJ6WSYdmQ5g46W4emPAfZ7o16RjpeQGEBlgJyfXf+NSyaiOPdTLz995D5OTkEncwgQ6dWnvNfzQxmeDgQKLqRnrNUzqVtz0ywFw5MxSDB9xCwpHjPv1VCEWUaqCntf4T+LO0fELZCA8PJT09i1V/ref2MU/RuWtbJk66p7rFOi24YFAf1u/8nicffp2fFpY0biq+579wOtXX8krxmPaHDh7BXoZpWLND2ccdSixxznVUvCMrB5s9gouiLbSPNEaLrq/pou/2UkdrYTuMUXmdHdux293zHztqzBbMn/cb0UFFY/vsxCSHnAnUqeN9Bc/1yluGmkg9VN7IgZ5nWWx53kfKmzfuNKIdPvw6L7/1KJ27lt3GON/hgTAquPQReeHvM3vWAgZd3I9/123jP+OuxpyaxNFcC3XtJsLxf599YEoKAHXysrn/judZ8N0f7E34zWswmR7thxESEsSB47F+t1FIVcQesJgqp40ED51UwTun7+JwNdO0WUO++OQHrrvifpo0acCc798iNLR0wyehYmjarCGzvnqJxIwVfP+L5uHHb3Wem/jom255U1MMRVUWYyjD2t7/l1xAgIXMzGzO6VZyH/TRxCJDrwyblcOZQbSP9LwGXKivTabSp2ZNNmN0bPUgZqESSE/PpJnLGn1OgrG9sHfXa+nY/BJGX/eIx7rtLtPe3ev5P4WdmFDsBe6Qw2qzUVBQ4KLsvf8WgweMJabfGFb+tZ7nnprmd9uu5GeVHInb7Xays0suHxTKZDabuXjgrTz6wCsU5OYSYsvkcLadI9lm6tqNzkNWVg7fzV3sc4kl3zFrkZ+fz7LYNQDk5vpe88/JyePfdVt95vFIkSsJJ0v/WO3V6K40+vcaUaIDEVBJyl4oG6Lsq4mrrhuM2WzmymsuYuHvH9C0WeUG9BC8c+7AXjz+vztIzFjBniOL+Wzuq0RH16VVG/ddEYcOHOGi/rfwwF0v8N47X7Loh6Ve6zSZyjZqslgsXoOfFH/xfpvg/cVf+M62mIoMvbxRKJ8dOJGcxgmX9fjCcwlHjvPfzkUj+8z4BM/tFmuq+JUXl+RoYjKH44v8ADQJCiTEZOKcbte75du/29gumZaeyX13PO+Uy9U7nc9OWDHBDh08QuOIAfzw3R/eywAFme6OhgrsNt58eRZtGg5yu0/g2YDzwMI/sZjsbE4vYFeGjTBLAT9+8A1tG13E3bc+w7ibvJs7xccZszuZGdnOjRD+rKkXxlTwRJ/IcPrV8e4S2bX+G4c/xHm9y2czvXf3oRK7CPIqKES0cHL4s89eqATufWg0d903goAA+QlOJSIiw7nksoFsPWCYlNjtdnbtOMC0N2cTFhbC/n3xLPntb+Z87tvk5LOZC1jy299+t2u2mD0qrc5d27Jj2z72742jTTvD98LPSSlc3qgxHeoYCiktOZXGEQPoGBpCqCNoToDJ5FVB2Gw2Lh54K9eYrHQINQbPXVtfBpTc81+cHC/K/rdfVpKbm0dwsGF/bitm0BZYTJYe7Yc527PbbMw8K4xNyaE8vsu9/qz0TIgwOg/fzV3s3MGS7VhmAGhV7wI27FlIo8Ylt2wVvwebNuwEYO5XP7vtHihOngf3tnO/+hmApOMnqFe/jjPdObJ3aevIL7EE22FZSjqNAwO5qkUQR74r2l1y+HCRAyZfeDMOtdlsdA4LIcNqJb6UUT/Ac2f4fs+UdTp/wn0vMXvWAufzEmkxk2uzk+eyHJSQFUSTsDz2ZIfi2ROGUJX4pWmUUi2A1rhEutNalz8clAAgir4GYDKZ6NSlDVPff8ot/fixE+zbE8fqVRvJzc3j5ec/dDv/44LYMrWz7u/N/Lig5EzBh5++wCXn38q9dzzHYxOLRm4PbEvkjmYNuKZlPj1zD/BCh0acHZ1L4Wr5k50tHDnq2QI+OyuHLZt2EdMyGkLB7mFznKd3//HsQIITD5dI7xwWys6sbFb8+Q+DLjYcARW3VgjxMctgdVjW96hfcuo80DEFXDg2LBw1ZicWTffXCTDz3jtf8r/nVQnlXqLD47gus8lMZmY2FouZkJBgrFYrWZk5zsBJ+Rk5xepxvyH798Wzc/t+LrlsoHO5prCtABOYdm7gRGA0JwpSOVFQQHJeHdoVJLrU5/V2eDxX/DpmvDePN3sEk5ITxE0b/Os4eCIU6BHuXzQ+Vwp9QBQyp08kcRlB3LnlmEvHwWHrYhIf/6cCpc6vKKVewYh6twxY4vIRhNOWBg3rcc65Pbj3odE8/PitbtsED6f+yYZd3/PHqk+Z//N0dh9ezOHUP7nmhiFe69u18wBPP/62W9onc16mc9e2vPPB02zZtJsbhz/kdv7Dw8d5YGMuR7JDHIrenfyNuzy25RwtOibX7R4sse2O1BDHG2LniUjiss0EZx532xLWMzyUN3sEcV9Ld4csxY2ygkzeXzX5Gd6N1wIdnYRgxzBjZON6fHZmQ3JdlH3T4ECmv/U58+f9VqK8pxGxkW6iXePBzsh2Ex95kw7Nhji3OeZluHc83IwgTSYG9BrJmBseBdzX7AFGNK5LiKUA87lF2zxX5YURFZDL8AZRbnk9XrNLY94c6xw8cASAuiGl20MUH7Xv3nmAyy+6g/S0TB5pFMzL3YPIS/HfgHLpkjUe01tEuMsS6LjEEJONDf9uL3XpRKhc/Bla3gnsB34FKn/jpyDUcCwWC02aNqRJU3c7jPc+nsR7H09yS8vJySU7K5fU1HRyc/LIzc2jVeum1K1XNE08/NqLuGBQH5YvXceM97/hnzWbyckxXqy7s3N4IdVOo/1WnuwURIDZTrDFUBChG9ay7dMfaHf1RQQ7RqxHE5OY9eF3QJECaxdepAwaRwzg3x3zyT12gh/7RbHmeCCQz9q0HHJsNnrVt7LX5aXdKtQI6dcxwuxmRBZusZKeF0CuNYAGoTkMbeDdcj83NcPruSCHsg+zGDKOaW0FrGQfjKNwPNo8KJBtmbkkJ6Wyb0+cW3lzsU5G8X3lhZb0c774CYC83DyCggKxFgsOZC5m8Gi1Fm39s9vtxjR2bi4X1otgdGs7hzODaDx0ILz5OQDzk9PpHxTCbW1y2ZQR5HMNvnA2w2Kyk5Ge5SZvIaYy+HCwZrt3XKZMep91q7ew5Le/aR/hCIaUcBy8bO9LTkolqm6EcwnlxivdQ/W2Dg7yVIwwx5JSkNnOJeePA7wvEwWa4LUuDfnuSMUHZRIM/FH2m4E5Wut3KlsYQTjdCAkJJiQk2G0N2BN169Vh2NWD2LZlDyv+/MftnMlk4p+MDG5wJHcJDeWFrqHUs6SS9Ylmw6x3yQqOJqBtB37asI8ftu3j5ib1aBhsKJAW4fmEmE3kOKajly9dR6u8PAKBcxrkU2Az8XtSGhk2Kze3rkPcp19xVYMomoUE0KuuCcjHajcC5gDknkgjxGJlyfEgdmflcWc7uKm15zXhhCPHMKV5NkwEqON4Q4UXe1NZDx/CbjdG7i1DA+GEcR/OPdPdKVVxJVk4yC3ustrZCXCMuPMz3RVkgMnudV0768AR5vSJ5Mf4PAa2DgYKeHNfBv9z6TCce2FvlmXmMixhPdPPDOWDJB/K3vE31MWbUfHrMOf575Evu9gOB5dgjk5yjyXjiUJ/C/c9fDP/e055zPNOzzBcTTLtdjvWvDyn/Ui4pfSOyfjWDehYJ4+bzKUH9RHKhz/KPgWYrJTqCxQuAtq11g96LyIIQmUQEVnyZVh8i9/27Gyu/yebzz6eRNOkFJL+WgOH9xKyfRXXhsC1Z4VhrKcWTbt+e04d4jOD+TwuB/uuQ6Tt3+eMdPdHYiBH8o28+WcMIHL7cu5qD64TfXZ7kWOgvd/+hskEG9Lz2J+dixGc0jOTJk5n4liPka0BqOcYNNYJdFcYYdnHOZARTOPQAs6MMhvOvB20DA6mwG7jP83qsjfHfWrZm+vjQp8I27fuZeO/2+mV6d4BCTB7N2DL2LaHCOCK5vnY7TB9t4ktmdkcc7GZuGzYBfz260reWwH3doCbozI4snKjx/pCHGvcES5v5+ITAQFl8MiX5aLsXTssJpMJHLMIecV2GBSSnJQCwE8/LPOq7D3dm/R9RriTPKuZyIDSJ4SbhBgXmFWBYX0Fd/xR9pc7/o52SbMDouwFoYpp0LBeiTRv67oBdSPpccMQuNtwRZp59ASPXqaIzshgSGM7SbkWjuSY6NfAmMptHp7LY51NsOw7Zx3fxgXwUXyRAViPSffy77j9RGW6T5d3qZtL3K4D7J63mONfzIYCC8tPpJBtt3EgPYqmYbkkb9tHfYeDm3PrhDt2DEC+y8j+1qZFIVhtBQVEBxvT5VFBVh5o2QAwRrRmk50taTas9kA61cmhUWCAc7T+fq8QRw15ND3qblBot9sJMpwQFEs3/l4+6A7juu++mhCX8xGBVjoDY9o3xOqya8Jms5G75l9ngJDPD1r4MckYJbv6R0hJScdut/NjUgoZ1jo82MHOwf8+QUajDmR27kG4y3XXMxvXWDfIzpim9Rje1IQ1Oxcii7bOBbosmcw7uz6HsgIYv91zSGPXgDz5mVluSxmFdyE/xbOyL7o/fsZRcPw9vNyYZtqbHkiXurk0CwrgsA/fCIXLNMEW/3cF3NK0Pn3rWbDZbKd1PBF/8UfZ+/C3KQhCVdK4SUl/DN5exMWnqsMb1WOjHXbFJ/GBS5xJ8x5oFxpCi+BAOoQF02vQOTTo1Ib/PPseecXqzsrJJWb++9zT7krubO/eyWjx01ekAgE2C3Nz6pFtN5TeuwfSeb5rEDvU/Vg7nU2TS2N4uqvx6plpt5Pp4gnthlZFCmHn7IUEW2ysOR7COQ1yGNrMfep6wbF09maFcX8dmHV2OJvTMktYHFuKWYJbdx5gft86/Jroedq6kPyDBwkB9qeF8meSlTFt87g/2lCIKet3cnOT+gyMtrB8yI1Ek8m2lGCe3pVEpq1oLT8xoUjJJielYHfMwCxNSaMgrQ33tQin6fFdbL5pDNnRbajT7xzCGjegQaDR+aoXXMAoh/fsY/9sI2roQGd94elFdg5hgVY6R1m5vZnnWPW5x4uuNX1vvDNmg+vsRn6S550bpe3vt9ls5BSYCbLYMJvgqfYNsNnsnFizgSA7LDyaR5e6cG5UON8eS/VaT90gx5R/gP/KfkQrw34jaeNuGlZyFMTaQKndIa31UoxJsjMcn8OONEEQqph2HVqUSPPmqc/Ti9rmoWNgwzD0i01J56PDxwkc0p/owX1LKHow/MCbzWbmHz/B5X+nMnJNOtesTueDvWbiWp6NZdhNdJ/9MTsiirZzbczMYuK2PLJDognZtYbU6UXRB2/as460L2a5tRE76iGWXHkbaZ98QGpeAC/vPcbG5BC3PHlDbuRQbi4/JZ8gOcdY5W78ww9M6eS+K8BefK17x24A2mUm8263Bkzu0AiAC+uE8lrnhoRbTFzbqC6hx/axNSUYtS2Bb48dJzW3aFxkmfE2N7W20joiDxsmjvcYxKM7jropejCcIXXv2ZHoBnXZtzferVN23GLiogUfknD5dWQ16khw0gHsP39N5icam92E3m12Cw18/K91bnU3TCnpKvbalp5Hzlkue/qPbyiKo2DPyXGO7PMOG9b9drudT8+MZnwr3+Fue0eGcVXDuqTsSyAkwMahTOM3OLdBPsmbdmLfuZG4zCCWnUglu8DC4IaBXr3vW/PyiAg07l2dQCs2a+lxD1zzHF21vtT8gh8je6XUcIwod4EYBrx5SqkbtNY/VLZwgiC407xFY5q3aOz0sgY+plg9KXs//PX7mhJNOeE+3ZvmqG/+sRPcMOoKejkiOhYP77s5M4uLfvqElH2H2T//D5bOnEv/hnmcsIUQFlGHDzYn0DcqlM518ghN2EOBKYDMhh145LeNZNlt/HdXIkOj61I/0MycxBOsnT0MXjB8G/xnQxJPtWtIn+gMGtZzvxdtA9JYctkt2IOCMQUE0CD5MJihqTmD8IgCWkfAkmvu5qF2AHnM7VMHsJNlDUQfMK41127n0a3p3N6uIU0teYQ1acrSbfF8nZDCrrSf2LRhB7aP5pe4V9u27OH8mD7UiYpkx7a9tGvfskSe8N4diJlwOwW5eRz6bTWZ8QmsP5bKwikzCLXUZ2hjC03D8gj46yeWDl6GLawOYKKt9RiHMoNpHp7rFoL48F/raXJuD8wOy/m8jGxSVq8jwm506hIW/krjNBvvdG1IwS/LnY+IJX4P+dk5nNi8iwYhBQxp6rKlsJjM/aPC+V+XAMDO1inTCQW+OZzPw47B9Z5HnyTUlM93R6AAO8uTAhjSOJcPe0STl55JUKS7J7+dny3EbILdqSF0iMrh4M9/0eaKC0rcK1cSV2xwfk/6cjbL9h/j/Ckl/SwIRfgzjT8Z2Ae87jge70gTZS8IVYzJZGL0LVfyyuSPnGlep/E9vPj8WXs1m01e8x3x4fnN9UVb4MWFbd22zeg1/mYu/Z+GfTBi9EBefutRRjUcxE8OYzDX7VnxEUbnwQYscpwHSE0pmsa2Yee5vUd5+Y4HWPjyTI7lWjk7KpToQDNnRIcQHZCNOTcd7DZsdjiaHUSwy5svIDWBpNxALCbYl2nmaK6dcQums7dXkWV/VOfWfJKVzb7tx1j5+TTG9BrhPOftliYcOU73MzvRoGE9Zrw3jyYuSzDFO1QBwUG0vcLwM/fvx98DMPdoMnOPQuPAQN6+7gI4fBBzZhpg55CtHs/vjKNFSBCDo8PIt5mIaZzHkaefJN5uIs9uXGCgqYBIk51FhwOpF2Smv2k3IwDqAPvXcjwnkB+O2Li1bTarrhiJ3WSmUBUvGz0Ba1QU83rXY1u2lX9f/4S85BSHojcI3fcPBzOC+O3EMZavNvNKlwa0jLCS0+sifvnbsP14Ny6ZIBpwYeNsVg8fTUHTdgQ3a4I5KIjchKME7ttIbkEAU/acYHrPcOJee4PjazfT+IJzaNCzEyH16zifrYLsXI6sWM+e16YRZjNxNCeQpmF5sGYhJtO9nn8IAfBP2bcFHtJafwSglAJ4qxJlEgTBB+qh0W7KPq8M27D8U/Zmr/lcZxR84W8QIJOPjoUv0tJK7s03h4fwp6MTsN2xt/yqvoP54JPnnXnmffUz997+HNeNuIRv5hjuaxMzVtC0znlusx531PF/C5gv+QcN7sfh+ETenfolf/1ZNBVflhFoYn4+fd54wundD4xgTUfW7uNIfj5rHDEV5h0NZuodw8k5kghZmdjtdgrCI2hwXj+mPfQqZmDhqNvY8uPvpKdl0bx7J55ctJLkAiujbhtH/l/LMefn8NW+fLrXsXCGfRvmRCAAzorMxLboKwKAfKuJFccDWZuax0PjrmT8G18AkGO38cC2oxxKXkpQUCCWGQuwWq306NOVl1dtYkNaFLecEUn4ke0EJG4DwGyH9OAGTNp8mCP5ebyyK4gJnYMxLfuBo8t+4ChGZ8pqNwN2p+V/uB3mxgXw47ETfNo7nMCmTf2+n6cr/ij7vcDDSqnC/4TxwJ7KE0kQBF+EhgazM+4XBp37H+LjEknz4pTGkw7yRwl7U8CRdcLZtfOA93IuCiwwyD9X0CaTb2U/9vZrmPXRdyXS0z3szfekQL1VXTy9uAw5OSU9EnrDm/yt2zajU5c2tG7bjLr1Ikk5UeSlrrjxpCuellGsfqxjH8jJ5dwp4z2ffOhVbEDvJ2/jjXXb+G39Cj596RGSFyw3ZP3PMFo43DGPiBgACXAg7he2LfuHG8c8Ra82TXnj7ccIqVeHMweOpVCaLyYpsl+f7bHJAeefxZ+xazmjWwfWrNrEz8mpfPLzT4Zr4sPHycvMIbJFI4IiQhnlmMFZlZbBeb//zKHfVpO0fhvZhw5jzcmB/DzsdjCHhRLavBltr72YT/reDEBk77OwZYszntLw5z/yfxhr9h9irNnnA9f7LCEIQqUSVTeSddu+5fNPfmDCfS95zGP34GXN7seavclLEJ1z+vVgwz/bfZQr+h7ixauap7a8amSgUWPPFubFbQecdZWTEsreQyhbb/V7U/b/GXc1JpOJkJBgRoy+nPenzfFLFk8dgeI2ECeF072vydnZyvewLS6kbiRRZ7QjzWrlENAypo8hi5/NFHaYMjLcO2YWi4XIlo29ljObzbS+5FxaX3Kufw1JBF2/8Mca/3ugB/AAcD/QQ4zzBKH6MZlM3Dx2OJv2/ED3nh1LnF/792YKCtxf4v6M7M1mMwEBFre0R54cR78BZ7Jtyx6v6/auyjDVhwtc9zK+p8G9KblDB0tG36tI46zcXM/OeKCkvN4MGkffMtz5/d6HRrud8/U7eJq18Mew0l88hc31thRUnnta+JudSDK22qWne499UBHY7DafHUbBwKuyV0pdq5RqppS6FugOHHF8ujvSBEE4BWjUOJrfV3xCfMoyfl8xiyeevhOAVyZ/xBltruCusU/zyUffsWXzbt+x310wm92Vfczgflx5teFy4/NiEc+KY7fbOXTwCLffcwPPvnifz7wmTD7f04W+64uz28dyQjFhPLdbig7LLjayz8nJ9ar4AgJLTpCOf2ysmwvkxk0auEUt9KW8Mzwox+L5rQX+jq9LLgGU8KIH5Od7VvblsaewOjqYiQ6nQp5mYYoTGmp4WWzhY8TvDdHz/uFrGn8uMAr4CveJEpPj2OKpUEWjlOqK4a2vAfC71vpdpVQrYCqQDOzUWnuexxSE04iAgAC69+xE956duFPdSOzvq/n157/4/ZeVHiPCecNkgmyXNdBeZ3ehT7/umEwmLr/yQqa99bnHcoWKYffOA2SkZ9G5S1vadSi53cy9LRNZWSVD2xaSkOB5FmHj+h20bd/CLfCNP6NQf5VXVpb7GrDFbHa+BEub8r/8ygudHS5XJjw5ju3b9rHg29/JzMz2ug7vyfiw+AxHZqb3e1acrEz3a3GN0ld4z3Jy/He/Wxr5+VYyM7KcMxTxh0o36hwydCALvvuDvv3PLHN7NputapRRDceXsn8O2AJM8pHHJ0qpmcAw4KjWurtL+lDgbYwOw0e+lLXWehtwt1LKDHwKvIuxrDBPaz1bKeXfQpggnEaER4RxxVUxXHFVDHa7nQP74lm7ejM//bCMhd/H+ix78/WPEuyy5v75N687lcJLb05gyHnjyM4qaRCVn2/FarUy7c3ZmM1mBl/an8ZNjDX30NBgr25NvRkYAuzfE+8xffvWvYy787oSUe6KU56RKUBCsaWKhITjNG7i2dHMgX1FMl5y+Xm8+/GzXut9f9YkQkODmfP5Iq67/H6uHnE+xLjnORxf0u1tXrFlhayyKHuXzpTd7h7QJzDQgtVq9fkblJWCggIOHTSc9HTo2Iq9pfxGAKmphvGip+eqNKxWGxZZuC8Vr8peaz0JQCnVG1iqtT7gOI4GOvtZ/yxgGoaSxlHeAkwHhgBxwBql1AIMxT+lWPlxWuujDsc+9wCfOdJXAfOUUuNc0gRB8IDJZKJNuxa0adeC60cOdaYXKt9FPyzl15/+4nBcIkv/WMNV1w2mUeNohl0Vw7kDe7nV1bhJA379cwZDzhvn5vsd4P47nyMkJJiEI8e5f8IYmrcwpmTffm8iD949mdtGT+TRibfTtVs7t3JpXqLeHTl8jB3b99G4SQMSE0p6jBt29SACAgP4YLrR3/ek2E3FOheFYVoLSpkGP7CvyKd+r95dWb9uG1mOeACuSyGvT5nJe9O+cl7n9SMvJSDA+xjKbDYz9f2nOO/C3vzv8bdY9eAGlvy6nlFjhnF+TB9CQoL4Z+3WEuUyMtyn9nv17lpqp81Z1mVZ4ERymrPDZbfbyXMY5p1wTLUXn20oNBb0tuyQn19Ah46t2L3roDOtoMDK+nXG1rqbbx3Os/+dVqqMhUGDklx8KfhLfn4+QRZxplMa/ljjfwyMBAoXyYYAn+PHNL7WeplSqk2x5L7Abq31XgCl1FfAVVrrKRizAJ7qWQAsUEr9CHwB3Ao846h/nkNGQRDKQOFL//IrL+TyKy/0u1yTpg3ZtOcHtm/dy+qVG7EEWHj43imc0b0jjZtEc8XwCxl2dVFIjRGjL+fY0WRee3EGi35Y6jZC/uzj70k6nuJW/9I/VnP8eAofvTuXgAAL8xZO5fw+N7nlGTH6cgacfxZnn9PNqew3b9hZQtbAQPfXVOE124pNi5vNZjeFtvD7JfQ6uwtfzX+L3Nxc+pxxnVPJP/vfomjfr0z+iIuHDmDyKw/Rpl1JV8beuPGmy7jksoE88chL/PnHBn5e+CcBARbq1IkgOTmVwZf05/dfVzrzJyYk0b1nUflgP3c7ABw8UNRxOXL4qLNT5DrKP+zwn1DcOLCws+TNoDAjPYuDB47QrHkj54xEelomPy6IpXmLxlw/cijPPaV92ijY7XYSHfERfDlt8kZeXgHhoYGlZzzN8arsHaPpqzHW6JVS6jLHqbOAk9nU2Bw45HIcB/TzIUcMcC1GnMxFjuSfgWeVUjcB+z2VS0pKYuLEic7jdu3a0b59+5MQW6hOMjIyiI2NrW4xhGK0al8XgDkLX3RLX7rUPXxGj7Nb8s6MR1i9citbN+1zG6n/9OMyevXuxPp1hrK+cfhDANSJCufeh2/gcMJ+Xnnnfh67/x3atm/Gg4+NpGnzBs42Xp56H48/MI2ZH3xTQr6lf6zmf0+8SnBIIMEhQaxbbWwd3LB+mzPPi89NLaGMdmzbx8NP3sSGjUb0NjX+ema8+z0Z6dms+XsTXc5oTfcz23P+RWfRpGk0+w/uZv/B3WW9fQy7ZgDXjxrM5g172L5lPykn0jmjRzvOizmT9f9uJckRPOaRB17ivJgzadioHiYTzJ/rOTzJkiVLStguzJ1TZK/x2ax5JCQYiv33xUudyv6XRUvpcXZLEg4XzdbExsY6R9xZWVke//+mvT2DvLx8Lhjci68+NZwU/ffRV/hzyXpuHH0xW7ZupM+5XVm9YovR5u+/O2dXCjkSf5ykpBSiG0Zx6MARFny/kDpRESXacsXVZ8HG9TtoUjecBHk/+MTXyP4sYCyGMd6Fjk8hni10KgGtdSwQWyxtM6Xs9Y+Ojmby5MmVJ5hQpcTGxhITE1PdYggnyfCr3CfvcnPzMJlMBAUFYrfb2b51L+lpmUTWCadDp9YEFlq6x8Att47yXGkM3HTzDfy6aDkfTP+a1m2b8c2cX7FaraSmZPDBtJJOeQ7uL9q69/YrX5U4P+f7N4kZXDQGiYmJ4b9PP1Dm6y2Nwuf64osHlzi3Ze8gEo4cZ+P6HUyZ9D5fzy5S2nWiIpg971U2bdjJ269+4jSwe+7Jj+nUpQ31o+tiMsGxxGR+WriMiy/tz/FjJ/j689/JdCwJzHzvB0LDQrj8ygv49uvF/PHzBjdjPgsRtGphhFQODgrmvPPOc1OyANNen0u9+nWY/PKjDL38IsaOfII/l6ynb/+evPr2REJCgunQvgu9uxobuH7+fh1XX38xrds2IygokPi4RKZ/9R2BgQG88/7T3HTtBBbNX8OLrz1M/egoj/fMbrfz5iuz3NKCggLl/VAKvpT9B8CPwGpgIvArhuI/obXedxJtxgOuJrotHGmCIJxmuE5Hm0wmunYr3+xbUFAgw64e5Fw+eOeD/wHGFroTyalkZWaTmZlNYGAgHTu3Zt+eOHJzcwkKMtqPiAyjWfNGp1QgFZPJRNNmDWnarCGXXn4emRlZJBw5js1mo1WbZgQHBzFk6EAefvxW7HY7H3/wLT/MX8KGf7eTnJSKyQR1oiK5cfRlPDVJkZ2dw8RH3mTt6s0cO5pM777dePS/t9FvQC+sVhsf6rnYbDZ6nd2FuEOJXD+sqHNzOP4ozeu6B6cZfu1gMjOyeOyp24mIDOeyYRewcfcC9uw6RN/+PZy2Cy1aNiHuxDIeffAVvvj0Bz6dOd+tnqCgQKa8MYHBl/TnsYm388rkj/j+m9/p0LEVTZo1pF79OgQEWDCbzaSkpLN39yH27DrI0GHnc8/9ozg06XkaNa5f6b9HTcdUmrWqY83dorXe4zhuDxQUGuyVhqP8wkJrfKVUALATGIyh5NcAN2mtt5TzGjzSp08f+9q1ayuySqEakZG9UBs5lZ7rjPRMMjOzadQ4mrTUDP5YvIqEI8cwWyxkZ+Vgs9kICw/l7N5n0Ld/z9Ir9MCJ5DQ2/LuNgweOYLPaiG5Ql34Derkp6y2bdrFowVK2bdlLQsIxUk6kY7VasVptREVF0KxFYy6+pD+j/jOMoKBAdj3xPwrS0+k6/a0KuhM1F5PJtM5ut/fxdM4fA73FGHvt/+c4HothsFfSZVcxlFJfYmwsaaCUisMwqpuhlLoP+AXDyG9mRSt6QRAEoWxERIYT4Qg/G1U3kmtuGFLhbdSrX8dtecQT3Xp0pFuPUtWLUEb8UfbNcTeCO+BIKxWttcdFNq31IoqM7QRBEASh/IgbvVLxN+rdI0qpeAzL/AmONEEQBEEQagD+KPuXgU8wjPXAUPhjKk0iQRAEQfCXU8em8pTGn6h3n2Gsu7/u+MRorats650gCIIgCCdHqcreQQpwGHgPsCulfEe3EARBEIQqQ9bsS6PUaXyl1EhgNsZkyUbgSSATw7ueIAiCIFQfp5BvhFMZf0b2k4DfXY5/BPpXjjiCIAiCIFQ0/ij7ZsAfLsf5QGjliCMIgiAIQkXjjzX+JuA/ju9jgKHAhkqTSBAEQRDKgizZl4o/I/sJQBOMNftbgEDgkcoUShAEQRD8wSR77/zCn613K4EOGLHmhwEdtNZ/V7ZggiAIgiBUDKUqe4c1/mXAEgyf+HOVUudWtmCCIAiCIFQM/kzjP4cxsr8JGAWcC0yrTKEEQRAEwW/EN36p+KPsW2L4wu8LzAQeBs6oTKEEQRAEwS9kyd4v/FH2qRhhbS8H/sG4tdmVKJMgCIIgCBWIP8r+PeAiR95vgQEYnvQEQRAEQagB+GON/yxQH2ittT4G3IdhsCcIgiAI1Y5d1uxLxR+nOmitU1y+Z1SaNIIgCIJQFsQ3vl/4G/VOEARBEIQail8j++pGKRUOLAWe1VovVEp1BR4EGgC/a63frVYBBUEQBOEUxp8Qt9GARWt9VCl1EUZgnHla6xw/ys7E8Lp3VGvd3SV9KPA2YAE+0lq/VEpVjwNfFx5orbcBdyulzMCngCh7QRCE0xZZsy8Nf0b2C4H1Sqk5wG8Yd/UyYLQfZWdhOOD5tDBBKWUBpgNDgDhgjVJqAYbin1Ks/DjgTGArEOJ6Qik1HLgH+MwPOQRBEITaiKzZ+4U/yv4M4CPgUuAvYAtwgz+Va62XKaXaFEvuC+zWWu8FUEp9BVyltZ6CMQvghlIqBgh3yJGtlFqktbZprRcAC5RSPwJf+COPIAiCIJyO+KPszUALYCDwE8ZofMxJtNkcOORyHAf085ZZaz0RQCk1FjiutbY5OgDXAsHAIk/lkpKSmDhxovO4Xbt2tG/f/iTEFqqTjIwMYmNjq1sMQahQ5Lk+eUKOH8ecLvexNPxR9quBZzCm7ycAVwL7K1Emj2itZ7l8jwVifeWPjo5m8uTJlSuUUGXExsYSExNT3WIIQoUiz/XJs/v3peRZbfSV++gTf7bejcTwhz9ca70G2MDJxbOPx/C3X0gLR5ogCIIglBFZs/cHf0b2DYA/tNYblVLjMKzx3zuJNtcAHZVSbTGU/EiMiHqCIAiCIFQC/ij7z4FYpdQfGIZ6dqA/cEVpBZVSXwIxQAOlVBzwjNZ6hlLqPuAXDAv8mVrrLeWUXxAEQRCEUvBH2XcCpgKDMIzh/gUe8KdyrfUoL+mL8GJYJwiCIAhlQnzjl4o/a/YFQB+MEXossMfPcoIgCIJQqcg2e//wR2n/BiigJ8ZovBuwqzKFEgRBEASh4vBH2Y/B2NPeW2u9FfgeuL1SpRIEQRAEocLwJ559NlAXmOhwmdtea/1PZQsmCIIgCH4ha/alUqqyV0o9BczEcJF7AzBTKfXfyhZMEARBEEpFFu39wp9p/NuBHzCs8jthBMa5szKFEgRBEASh4vBH2dcDFmutd2utdwOLHWmCIAiCINQA/NlnvxZ4USnV13F8FYYXPEEQBEGodmTFvnT8Ufb3Y0zj3+w43uNIEwRBEITqRdbs/cKnsldKWYAOGKP5ws7TDq11QWULJgiCIAhCxeBT2WutrUqpGcCjriFmBUEQBEGoOfgbCGesUmoNcKQwUWudXGlSCYIgCIK/yD77UvFH2T+AMYW/0SXN7mdZQRAEQRCqGX8U9jLE2FEQBEEQaiylKnutdUwVyCEIgiAIQiXhVdkrpe4EztFa3+GSZgLeB9ZqrT+oAvkEQRAEwTeyZl8qvjzoTQASXBO01nYMI71HK1MoQRAEQfAL2WfvF76UfStgv4f0g0DLSpFGEARBEIQKx9ea/XHgemBGsfTrgWOVJpEHlFLhwFLgWa31QqVUK2AqkAzs1Fq/VJXyCIIgCEJNwpey/wZ4QCm1EfjNkXYx0A1D0ZaKUmomMAw4qrXu7pI+FHgbsAAf+aGsHwe+djnuAczTWs9WSs3xRxZBEAShliJr9qXiS9lPBHoBFwDdXdJjHef8YRYwDfi0MMHhgnc6MASIA9YopRZgKP4pxcqPA84EtgIhLumrgHlKqXHAZ37KIgiCINQyTLJm7xdelb3WOhOIUUpdBPTG2Gu/Tmu9xN/KtdbLlFJtiiX3BXZrrfcCKKW+Aq7SWk/BmAVwQykVA4QDZwDZSqlFwK3AM4765wEf+yuTIAiCIJxu+LPP/g/gjwpsszlwyOU4Dujno/2JAEqpscBxrbVNKfUz8KxS6iY8GxGSlJTExIlFExDt2rWjffv2Jy28UD1kZGQQGxtb3WIIQoUiz/XJE3L0KOasLLmPpVBjXN66BuLRWm/GMBT0SnR0NJMnT65ssYQqIjY2lpiYmOoWQxAqFHmuT569y1aQnZlFX7mPPvG19a6yiMd9614LR5ogCIIglA1Zs/eL6hjZrwE6KqXaYij5kcBN1SCHIAiCIJwWVOrIXin1JbAS6KyUilNK3aa1LgDuA34BtgFfa623VKYcgiAIQu3FLlvvSqVSR/Za61Fe0hcBiyqzbUEQBEEQDKpjzV4QBEEQhCpElL0gCIIg1HJE2QuCIAg1G1mzLxVR9oIgCIJQyxFlLwiCINRcZJ+9X4iyFwRBEIRaTo1xlysIgiAInrAXFJB7+Eh1i1FmzMHBBEbXr5K2RNkLgiAINRZzUBB5CYlsHjOuukUpM3X6nUPHF5+rkrZE2QuCIAg1lma3jiGyV8/qFqNcBDaIrrK2RNkLgiAINZaghg2JvuTi6hbjlEcM9ARBEAShliPKXhAEQRBqOaLsBUEQBKGWI8peEARBEGo5ouwFQRAEoZYjyl6oEezZs6e6RRCECkeea6GqEGXvJxs3bjzl6y5vPWUtV5b8/uT1J8/evXv9brOmUZnPVnW3XxF1n0wdp/qzLc91zWy/pr2zoRYr+wYNGlRofZs2barQ+iqj7vLWU9ZyZcnvT97KvLc1geq+/lP92T6ZOuTZrj6q+9pP9ef6ZOrxUe64txMmey2NA2wymX4GKkzjBwcHR+Xm5qZWVH2VUXd56ylrubLk9yevP3lCQ0MbZGdne32QazKV+WxVd/sVUffJ1HGqP9vyXNfM9k/hd/Zxu90+1FOZWqvsBUEQBEEwqLXT+IIgCIIgGIiyFwRBEIRajih7QRAEQajlSNQ7ocahlAoHNJAHxGqtP69mkQShQlBKtQMmAlFa6+urWx6h9iDKXjglUErNBIYBR7XW3V3ShwJvAxbgI631S8C1wDyt9Q9KqTmAKHvhlKUsz7bWei9wm1JqXvVIK9RWZBpfOFWYBbhtGVFKWYDpwGXAGcAopdQZQAvgkCObtQplFITyMAv/n21BqBRE2QunBFrrZUByseS+wG6t9V6tdR7wFXAVEIeh8EGeYeEUp4zPtiBUCvKiFE5lmlM0ggdDyTcHvgWuU0q9C/xQHYIJwkni8dlWSkUrpd4DzlJKPVk9ogm1EVmzF2ocWutM4NbqlkMQKhqtdRJwd3XLIdQ+ZGQvnMrEAy1djls40gShpiPPtlClyMheOJVZA3RUSrXFeBGOBG6qXpEEoUKQZ1uoUsQ3vnBKoJT6EojBCF6UCDyjtZ6hlLoceAtje9JMrfXkahNSEMqBPNvCqYAoe0EQBEGo5ciavSAIgiDUckTZC4IgCEItR5S9IAiCINRyRNkLgiAIQi1HlL0gCIIg1HJE2QuCIAhCLUec6ghCFeDwd34X0EdrvU4p9SzwDPCS1vpJpVR3YBMwQ2t9ewW3XdjWDVrrSgmdqpRSQCOt9bOO4zbAPuBHrfUwP8oPB74Hummtt5ah3Wep5Gsr1t4ZwBbgGq31/MpuTxAqChnZC0LV8Lfj77mOv/2K/T23WL6ahsJQuuXlUeCvsih6B/OAUcAqfwsopco9yHHI9xfwcHnrEITqQEb2glA1FCqjczHimPcFlgJ9lFJmXJS9UmoM8ALQBDgBfAfcB1wK/AhM0Fq/4TLKfEdr/YAjStqdGJ7aVgD3aK33FhdEKTUMmAx0AHYDj2itFyulYoAlwCKgLtAd+EBr/aij3ATgSQwvcGuAWzACEsUA3Rx57I7rGutoLkoptcCRZyEwWmvt5slLKdUKOA943CXNDuwCNmDEgp8L/Aa8DaRhjOT/Aa7HMbIH5imlhjqurStGWNkbgCMYswwrgSygB9BYKXUH8BjQzHEfH9ZaL1dKjQU+xgg7ewbQCnhWa/22Q7wfgClKqeZaa/FnL9QIZGQvCFXDdiAV6KeU6gjUB6YCkRgKpR+QiaF0jgOvAQ8Cv2NEQRsJ/Aocw1BwYCgygNlKqVuAFzFmBl4CemIoSDeUUp2Ab4Bs4HkgF/hOKdXUJduFwNdAEvCIUqqVUupMh0yJDrkvdcn/LkaIVjBG2c+5nBuAoWR3OM6d5+HeDHT8XVMsvSOw1VH2VuAR4B2gHfC0h2vrCMzHUN6POuSyuGTpD6wD/qeUugj4AON+Poyh0BcopaJd8g9y5LEDLymlglzkNLnILQinPKLsBaEKcIxmV2MosMuBdIw16mRgCIbCX6u1tgJRGCPodykKjtJDa12AoYTPVUo1x1D6O7XWq4HCdfERFM0KnK2Uql9MlCFAEEbnYgpwDhCOoQgLWeAYxf7qOG6NMTIHeFNr/T4w0+Xa/sboyKC1/kpr/YdLXX9rradgdDAA2ni4Pa0cfw8XS4/XWj8D/OI4no4xagdo66GeS4Bg4AWt9XSt9WSt9XKX8/9qrR/XWn+A8RuA4af+fWAGUI+iGRYw/NVPx/jdQoDGxeT0dC2CcEoiyl4Qqo7C9fj7gDUOxf43xnq32eX8W0AEhuJ+0JEW4vg7G2NU+STGNPvnxdoYjaHQh2CMvrO8yPKKS74huNsKJDv+Fjj+uo6OvQXT8Jbuq67imIodpzj+5jv+pjruWWn1eKN4ZwKK5PYkvzfZi8spCKc8smYvCFVH4bp9B4qm2P8GLnP5XkgQxtr71a4VaK1XKaX2YHQQwFD+YKyHX4+xjv4VxlR3jNb6fMNQ3sliIA+4FmO9vi5wI0VLAt6Idfwd7zBwG1fs/AlwWuWvwZge95eDjr/NMJY7ysuvGMsSTzmuuQ7wJ0VLDK4sAiYAk5RS7YHbMK5hFXBlKe00c/w9cBKyCkKVIiN7Qag6/vbw3VPaeAwjtKcB12noQr7AGF2uLDTA01p/AjyBsUzwLsb6+LLiBbXWOzEUfQaGsdt4YA8OZe0NrfUGjDXzJsA9GEoUikbfbwNHMaba7/JVlwf+cvztU8ZyxWXcBVyDMYJ/FbgXsHrJ+weGMWMj4A2MDsFwrXWSH031wZgJ8PTbCMIpiYS4FQTBL5RSd2NYtUdgKNOGQEetdUIF1L0MMGutPRnwnVIopZYDVq31hdUtiyD4i4zsBUHwl4EY+9pnYVjlX1URit7Ba8BAx3bCUxaHfAOBN6tbFkEoCzKyFwRBEIRajozsBUEQBKGWI8peEARBEGo5ouwFQRAEoZYjyl4QBEEQajmi7AVBEAShliPKXhAEQRBqOf8HnwnFncPF80AAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig,ax=plt.subplots(1,1,sharey=False, figsize=(8,4)) \n", "Hires_spectra.plot_spectrum(ax, p=1.e3, t=1300., xscale='log', yscale='log', label='p=1 mbar')\n", "Hires_spectra.plot_spectrum(ax, p=1.e5, t=1300., label='p=1 bar')\n", "ktab.plot_spectrum(ax, p=1.e5, t=1300., g=1, label='ktab, g=1, R=1000, p=1 bar')\n", "ax.legend(loc='upper right')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "9d626b28", "metadata": { "papermill": { "duration": 0.019273, "end_time": "2022-09-02T07:49:41.065473", "exception": false, "start_time": "2022-09-02T07:49:41.046200", "status": "completed" }, "tags": [] }, "source": [ "# Modelling transit spectra: sampled cross sections vs. k-coefficients (Leconte, A&A, 2020)" ] }, { "cell_type": "markdown", "id": "3f110e43", "metadata": { "papermill": { "duration": 0.012483, "end_time": "2022-09-02T07:49:41.090142", "exception": false, "start_time": "2022-09-02T07:49:41.077659", "status": "completed" }, "tags": [] }, "source": [ "Here we will reproduce some of the results shown in Leconte (A&A, 2020) that demonstrate that the correlated-k method can be much more accurate than the sampled cross-section technique in many cases of interest. Although we use a different set of initial data (because these are publicly available and easily accessible), the results are mostly unaffected. " ] }, { "cell_type": "markdown", "id": "44b4ff1b", "metadata": { "papermill": { "duration": 0.012739, "end_time": "2022-09-02T07:49:41.117456", "exception": false, "start_time": "2022-09-02T07:49:41.104717", "status": "completed" }, "tags": [] }, "source": [ "Start by downloading some high resolution cross sections for water from petitRADTRANS:\n", "[https://www.dropbox.com/sh/w7sa20v8qp19b4d/AABKF0GsjghsYLJMUJXDgrHma?dl=0](https://www.dropbox.com/sh/w7sa20v8qp19b4d/AABKF0GsjghsYLJMUJXDgrHma?dl=0)" ] }, { "cell_type": "code", "execution_count": 9, "id": "b57967ea", "metadata": { "execution": { "iopub.execute_input": "2022-09-02T07:49:41.143856Z", "iopub.status.busy": "2022-09-02T07:49:41.143474Z", "iopub.status.idle": "2022-09-02T07:49:44.155413Z", "shell.execute_reply": "2022-09-02T07:49:44.152699Z" }, "papermill": { "duration": 3.031989, "end_time": "2022-09-02T07:49:44.161725", "exception": false, "start_time": "2022-09-02T07:49:41.129736", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[['sigma_01_900.K_0.000001bar.dat' 'sigma_01_1215.K_0.000001bar.dat']\n", " ['sigma_01_900.K_0.000010bar.dat' 'sigma_01_1215.K_0.000010bar.dat']\n", " ['sigma_01_900.K_0.000100bar.dat' 'sigma_01_1215.K_0.000100bar.dat']\n", " ['sigma_01_900.K_0.001000bar.dat' 'sigma_01_1215.K_0.001000bar.dat']\n", " ['sigma_01_900.K_0.010000bar.dat' 'sigma_01_1215.K_0.010000bar.dat']\n", " ['sigma_01_900.K_0.100000bar.dat' 'sigma_01_1215.K_0.100000bar.dat']\n", " ['sigma_01_900.K_1.000000bar.dat' 'sigma_01_1215.K_1.000000bar.dat']\n", " ['sigma_01_900.K_10.000000bar.dat' 'sigma_01_1215.K_10.000000bar.dat']\n", " ['sigma_01_900.K_100.000000bar.dat' 'sigma_01_1215.K_100.000000bar.dat']]\n" ] }, { "data": { "text/plain": [ "\n", " file : ../data/hires/PetitRADTRANS/H2O/\n", " molecule : H2O\n", " p grid : [1.e-01 1.e+00 1.e+01 1.e+02 1.e+03 1.e+04 1.e+05 1.e+06 1.e+07]\n", " p unit : Pa\n", " t grid (K) : [ 900 1215]\n", " wn grid : [ 357.14265128 357.14300842 357.14336556 ... 33333.23696353\n", " 33333.27029679 33333.30363008]\n", " wn unit : cm^-1\n", " kdata unit : m^2/molecule\n", " data oredered following p, t, wn\n", " shape : [ 9 2 4536178]\n", " " ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "path_to_hires_spectra=datapath + 'hires/PetitRADTRANS/H2O/'\n", "\n", "press_grid_str=['0.000001','0.000010','0.000100','0.001000','0.010000','0.100000','1.000000','10.000000','100.000000']\n", "logp_grid=[np.log10(float(p)) for p in press_grid_str]\n", "t_grid=[900, 1215]\n", "\n", "file_grid=xk.create_fname_grid('sigma_01_{temp}.K_{press}bar.dat', logpgrid=press_grid_str, tgrid=t_grid,\n", " p_kw='press', t_kw='temp')\n", "print(file_grid)\n", "\n", "h2o_hires=xk.hires_to_xtable(path=path_to_hires_spectra, filename_grid=file_grid, logpgrid=logp_grid, tgrid=t_grid,\n", " mol='H2O', grid_p_unit='bar', binary=True, mass_amu=18.)\n", "\n", "h2o_hires" ] }, { "cell_type": "markdown", "id": "02383964", "metadata": { "papermill": { "duration": 0.021665, "end_time": "2022-09-02T07:49:44.207921", "exception": false, "start_time": "2022-09-02T07:49:44.186256", "status": "completed" }, "tags": [] }, "source": [ "Notice the pressure grid has been automatically converted to Pa" ] }, { "cell_type": "code", "execution_count": 10, "id": "ce9ded6b", "metadata": { "execution": { "iopub.execute_input": "2022-09-02T07:49:44.239081Z", "iopub.status.busy": "2022-09-02T07:49:44.237979Z", "iopub.status.idle": "2022-09-02T07:49:47.515254Z", "shell.execute_reply": "2022-09-02T07:49:47.514118Z" }, "papermill": { "duration": 3.296529, "end_time": "2022-09-02T07:49:47.519022", "exception": false, "start_time": "2022-09-02T07:49:44.222493", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig,ax=plt.subplots(1,1,sharey=False, figsize=(8,4)) \n", "h2o_hires.plot_spectrum(ax, p=1., t=1000., yscale='log', label='p=1 Pa')\n", "h2o_hires.plot_spectrum(ax, p=1.e5, t=1000., yscale='log', label='p=1 bar')\n", "ax.legend(loc='lower right')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "03f1ffed", "metadata": { "papermill": { "duration": 0.013766, "end_time": "2022-09-02T07:49:47.552863", "exception": false, "start_time": "2022-09-02T07:49:47.539097", "status": "completed" }, "tags": [] }, "source": [ "We clip the data to focus on a smaller wavenumber range (roughly, the WFC3 region)." ] }, { "cell_type": "code", "execution_count": 11, "id": "a7b2f11c", "metadata": { "execution": { "iopub.execute_input": "2022-09-02T07:49:47.581474Z", "iopub.status.busy": "2022-09-02T07:49:47.581053Z", "iopub.status.idle": "2022-09-02T07:49:47.587052Z", "shell.execute_reply": "2022-09-02T07:49:47.585990Z" }, "papermill": { "duration": 0.023589, "end_time": "2022-09-02T07:49:47.589699", "exception": false, "start_time": "2022-09-02T07:49:47.566110", "status": "completed" }, "tags": [] }, "outputs": [], "source": [ "wn0=5000.\n", "wn1=10000.\n", "\n", "h2o_hires.clip_spectral_range(wn_range=[wn0-2.,wn1+2.])" ] }, { "cell_type": "code", "execution_count": 12, "id": "9a4c1843", "metadata": { "execution": { "iopub.execute_input": "2022-09-02T07:49:47.618234Z", "iopub.status.busy": "2022-09-02T07:49:47.617843Z", "iopub.status.idle": "2022-09-02T07:49:49.321430Z", "shell.execute_reply": "2022-09-02T07:49:49.319729Z" }, "papermill": { "duration": 1.722689, "end_time": "2022-09-02T07:49:49.325715", "exception": false, "start_time": "2022-09-02T07:49:47.603026", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "Ri=15000.\n", "wn_interm_grid=xk.wavenumber_grid_R(wn0, wn1, Ri)\n", "sampled=h2o_hires.sample_cp(wn_interm_grid)\n", "\n", "fig,axs=plt.subplots(1,2,sharey=False, figsize=(9,4)) \n", "h2o_hires.plot_spectrum(axs[0], p=1., t=1000., yscale='log', label='HR')\n", "sampled.plot_spectrum(axs[0], p=1., t=1000., yscale='log', label='R='+str(Ri))\n", "h2o_hires.plot_spectrum(axs[1], p=1., t=1000., yscale='log', label='HR')\n", "sampled.plot_spectrum(axs[1], p=1., t=1000., yscale='log', label='R='+str(Ri))\n", "axs[0].legend(loc='upper left')\n", "axs[1].set_xlim(1.4,1.402)\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "id": "458da1a8", "metadata": { "papermill": { "duration": 0.026079, "end_time": "2022-09-02T07:49:49.379103", "exception": false, "start_time": "2022-09-02T07:49:49.353024", "status": "completed" }, "tags": [] }, "source": [ "I can directly write this to an hdf5 file that is compatible with TauREX and petitRADTRANS (see above)" ] }, { "cell_type": "markdown", "id": "772318c5", "metadata": { "papermill": { "duration": 0.018595, "end_time": "2022-09-02T07:49:49.417059", "exception": false, "start_time": "2022-09-02T07:49:49.398464", "status": "completed" }, "tags": [] }, "source": [ "Now let's compute a reference, high-resolution transmission spectrum:" ] }, { "cell_type": "code", "execution_count": 13, "id": "e896b835", "metadata": { "execution": { "iopub.execute_input": "2022-09-02T07:49:49.453263Z", "iopub.status.busy": "2022-09-02T07:49:49.452786Z", "iopub.status.idle": "2022-09-02T07:50:04.054735Z", "shell.execute_reply": "2022-09-02T07:50:04.053362Z" }, "papermill": { "duration": 14.624022, "end_time": "2022-09-02T07:50:04.058842", "exception": false, "start_time": "2022-09-02T07:49:49.434820", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "computation time= 14.580584287643433 s\n" ] } ], "source": [ "start=time.time()\n", "\n", "database=xk.Kdatabase(None)\n", "database.add_ktables(h2o_hires)\n", "\n", "T0=1000.; xH2O=1.e-3; Rp=1*u.Rjup; Rs=1.*u.Rsun; grav=10.; nlay=100;\n", "\n", "atm=xk.Atm(psurf=10.e5, ptop=1.e-4, Tsurf=T0, grav=grav, rcp=0.28,\n", " composition={'H2':'background','H2O':xH2O}, Nlay=nlay, Rp=Rp,\n", " k_database=database)\n", "spec_ref=atm.transmission_spectrum(Rstar=Rs)\n", "\n", "print('computation time=',time.time()-start,'s')\n" ] }, { "cell_type": "code", "execution_count": 14, "id": "7ae91bd3", "metadata": { "execution": { "iopub.execute_input": "2022-09-02T07:50:04.135957Z", "iopub.status.busy": "2022-09-02T07:50:04.135535Z", "iopub.status.idle": "2022-09-02T07:50:04.546440Z", "shell.execute_reply": "2022-09-02T07:50:04.544693Z" }, "papermill": { "duration": 0.452447, "end_time": "2022-09-02T07:50:04.550848", "exception": false, "start_time": "2022-09-02T07:50:04.098401", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig,ax=plt.subplots(1,1,sharex=True,figsize=(7,3)) \n", "spec_ref.plot_spectrum(ax)\n", "ax.set_ylabel('Transit depth', fontdict=font)\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "id": "08ca81a6", "metadata": { "papermill": { "duration": 0.027109, "end_time": "2022-09-02T07:50:04.606149", "exception": false, "start_time": "2022-09-02T07:50:04.579040", "status": "completed" }, "tags": [] }, "source": [ "In the following, we sample our cross sections on a grid of intermediate resolution (`Rinter`) to compute the spectrum and then bin down to the desired final resolution" ] }, { "cell_type": "code", "execution_count": 15, "id": "a08169e0", "metadata": { "execution": { "iopub.execute_input": "2022-09-02T07:50:04.645169Z", "iopub.status.busy": "2022-09-02T07:50:04.643681Z", "iopub.status.idle": "2022-09-02T07:50:06.202537Z", "shell.execute_reply": "2022-09-02T07:50:06.201205Z" }, "papermill": { "duration": 1.580243, "end_time": "2022-09-02T07:50:06.205890", "exception": false, "start_time": "2022-09-02T07:50:04.625647", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "intermediate resolution= 1000.0 , final resolution= 10\n", "intermediate resolution= 1000.0 , final resolution= 20\n", "intermediate resolution= 1000.0 , final resolution= 50\n", "intermediate resolution= 1000.0 , final resolution= 100.0\n", "intermediate resolution= 1000.0 , final resolution= 200.0\n", "intermediate resolution= 1000.0 , final resolution= 500.0\n", "intermediate resolution= 1000.0 , final resolution= 1000.0\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "intermediate resolution= 3000.0 , final resolution= 10\n", "intermediate resolution= 3000.0 , final resolution= 20\n", "intermediate resolution= 3000.0 , final resolution= 50\n", "intermediate resolution= 3000.0 , final resolution= 100.0\n", "intermediate resolution= 3000.0 , final resolution= 200.0\n", "intermediate resolution= 3000.0 , final resolution= 500.0\n", "intermediate resolution= 3000.0 , final resolution= 1000.0\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "intermediate resolution= 10000.0 , final resolution= 10\n", "intermediate resolution= 10000.0 , final resolution= 20\n", "intermediate resolution= 10000.0 , final resolution= 50\n", "intermediate resolution= 10000.0 , final resolution= 100.0\n", "intermediate resolution= 10000.0 , final resolution= 200.0\n", "intermediate resolution= 10000.0 , final resolution= 500.0\n", "intermediate resolution= 10000.0 , final resolution= 1000.0\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "intermediate resolution= 30000.0 , final resolution= 10\n", "intermediate resolution= 30000.0 , final resolution= 20\n", "intermediate resolution= 30000.0 , final resolution= 50\n", "intermediate resolution= 30000.0 , final resolution= 100.0\n", "intermediate resolution= 30000.0 , final resolution= 200.0\n", "intermediate resolution= 30000.0 , final resolution= 500.0\n", "intermediate resolution= 30000.0 , final resolution= 1000.0\n", "computation time= 1.5405690670013428 s\n" ] } ], "source": [ "timeit=False\n", "#grid of final (instrumental data) resolution\n", "Rfin=[10,20,50,100.,200.,500.,1000.]\n", "#grid of intermediate resolution (at which computation will be performed)\n", "Rinter=[1000.,3000.,10000.,30000.]\n", "\n", "start=time.time()\n", "res=[]\n", "for Ri in Rinter:\n", " wn_interm_grid=xk.wavenumber_grid_R(wn0, wn1, Ri)\n", " database_LR=database.copy()\n", " database_LR.sample(wn_interm_grid)\n", " atm.set_k_database(k_database=database_LR)\n", " spec_LR=atm.transmission_spectrum(Rstar=Rs)\n", " if timeit:\n", " %timeit atm.transmission_spectrum(Rstar=Rs)\n", " for Rf in Rfin:\n", " print('intermediate resolution=',Ri,', final resolution=',Rf) \n", " wn_final_grid=xk.wavenumber_grid_R(wn0, wn1, Rf)\n", " spectmp=spec_LR.bin_down_cp(wn_final_grid)\n", " spec_comp=spec_ref.bin_down_cp(wn_final_grid)\n", " res.append([Ri,Rf,(spectmp-spec_comp).std(),spectmp,spectmp-spec_comp])\n", "\n", "print('computation time=',time.time()-start,'s')\n", "res2=np.array(res).reshape((len(Rinter),len(Rfin),5))\n" ] }, { "cell_type": "markdown", "id": "1071c225", "metadata": { "papermill": { "duration": 0.037701, "end_time": "2022-09-02T07:50:06.275429", "exception": false, "start_time": "2022-09-02T07:50:06.237728", "status": "completed" }, "tags": [] }, "source": [ "Here are the spectra for each intermediate and final resolution. The right column shows the difference with the reference, high-resolution spectrum. " ] }, { "cell_type": "code", "execution_count": 16, "id": "14efa7ef", "metadata": { "execution": { "iopub.execute_input": "2022-09-02T07:50:06.327421Z", "iopub.status.busy": "2022-09-02T07:50:06.326328Z", "iopub.status.idle": "2022-09-02T07:50:09.422460Z", "shell.execute_reply": "2022-09-02T07:50:09.421309Z" }, "papermill": { "duration": 3.121318, "end_time": "2022-09-02T07:50:09.426513", "exception": false, "start_time": "2022-09-02T07:50:06.305195", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "to_plot=res2[:,[0,2,3,6]]\n", "nRfin=to_plot.shape[1]\n", "fig,axs=plt.subplots(nRfin,2,sharex=True,figsize=(7,8))\n", "color_idx = np.linspace(0.1, 0.9, to_plot.shape[0])\n", "offset=11000.\n", "for iRfin in range(nRfin):\n", " for i, data in enumerate(to_plot[:,iRfin]):\n", " (data[3]*1.e6-offset).plot_spectrum(axs[iRfin,0],label='$R_{sp}$='+str(int(data[0]/1.e3))+'k',\n", " color=plt.cm.inferno(color_idx[i]))\n", " (data[4].abs()*1.e6).plot_spectrum(axs[iRfin,1],yscale='log',\n", " label='$R_{sp}$='+str(int(data[0]/1.e3))+'k',\n", " color=plt.cm.inferno(color_idx[i]))\n", " wn_final_grid=xk.wavenumber_grid_R(wn0,wn1,to_plot[0,iRfin,1])\n", " spec_comp=spec_ref.bin_down_cp(wn_final_grid)\n", " (spec_comp*1.e6-offset).plot_spectrum(axs[iRfin,0],marker='.', label='Reference')\n", " if iRfin==0:\n", " (spec_ref*1.e6-offset).plot_spectrum(axs[0,0],alpha=0.3)\n", " axs[iRfin,0].legend(fontsize='x-small', loc='upper right')\n", " axs[iRfin,1].legend(fontsize='x-small')\n", " axs[iRfin,0].text(0.01, .9, 'Final resolution: '+str(int(to_plot[0,iRfin,1])), transform=axs[iRfin,0].transAxes)\n", " axs[iRfin,0].set_ylabel('Depth (ppm)', fontdict=font)\n", " axs[iRfin,1].set_ylabel('Difference (ppm)', fontdict=font)\n", " axs[iRfin,0].set_xlabel(None)\n", " axs[iRfin,1].set_xlabel(None)\n", "axs[-1,0].set_xlabel(r'Wavelength ($\\mu m$)', fontdict=font)\n", "axs[-1,1].set_xlabel(r'Wavelength ($\\mu m$)', fontdict=font)\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "id": "250d426d", "metadata": { "papermill": { "duration": 0.019532, "end_time": "2022-09-02T07:50:09.467097", "exception": false, "start_time": "2022-09-02T07:50:09.447565", "status": "completed" }, "tags": [] }, "source": [ "Let's summarize these results by looking only at the RMS error as a function of the final resolution for various intermediate resolutions. " ] }, { "cell_type": "code", "execution_count": 17, "id": "51949107", "metadata": { "execution": { "iopub.execute_input": "2022-09-02T07:50:09.508904Z", "iopub.status.busy": "2022-09-02T07:50:09.508398Z", "iopub.status.idle": "2022-09-02T07:50:10.403989Z", "shell.execute_reply": "2022-09-02T07:50:10.402957Z" }, "papermill": { "duration": 0.919848, "end_time": "2022-09-02T07:50:10.406489", "exception": false, "start_time": "2022-09-02T07:50:09.486641", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "nRint=res2.shape[0]\n", "color_idx = np.linspace(0.2, 0.9, nRint)\n", "fig,ax=plt.subplots(1,1, sharex=True, figsize= (4.5,3))\n", "for iRint in range(nRint):\n", " ax.plot(res2[iRint,:,1], res2[iRint,:,2]*1.e6, label='$R_{sp}$='+str(int(res2[iRint,0,0]/1.e3))+'k',\n", " color=plt.cm.inferno(color_idx[iRint]), linestyle='--')\n", "ax.set_xscale('log')\n", "ax.set_yscale('log')\n", "ax.set_ylabel('RMS Error (ppm)', fontdict=font)\n", "ax.set_xlabel('Final Resolution ($R_{fin}$)', fontdict=font)\n", "ax.legend(fontsize='x-small', loc=\"upper left\", ncol=2, frameon=False)\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "id": "53ef7581", "metadata": { "papermill": { "duration": 0.021099, "end_time": "2022-09-02T07:50:10.447887", "exception": false, "start_time": "2022-09-02T07:50:10.426788", "status": "completed" }, "tags": [] }, "source": [ "Finaly, let's compare with the result given by the correlated-k approach, computed directly at the final resolution." ] }, { "cell_type": "code", "execution_count": 18, "id": "d9ba0798", "metadata": { "execution": { "iopub.execute_input": "2022-09-02T07:50:10.489775Z", "iopub.status.busy": "2022-09-02T07:50:10.489372Z", "iopub.status.idle": "2022-09-02T07:50:22.556344Z", "shell.execute_reply": "2022-09-02T07:50:22.554921Z" }, "papermill": { "duration": 12.091563, "end_time": "2022-09-02T07:50:22.559693", "exception": false, "start_time": "2022-09-02T07:50:10.468130", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Resolution= 10\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Resolution= 20\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Resolution= 50\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Resolution= 100.0\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Resolution= 200.0\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Resolution= 500.0\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Resolution= 1000.0\n" ] } ], "source": [ "rescorrk=[]\n", "order=8\n", "for Rf in Rfin:\n", " print('Resolution=', Rf) \n", " wn_final_grid=xk.wavenumber_grid_R(wn0, wn1, Rf)\n", " database_corrk=xk.Kdatabase(None)\n", " database_corrk.add_ktables(xk.Ktable(xtable=h2o_hires, wnedges=wn_final_grid, order=order))\n", " atm.set_k_database(k_database=database_corrk)\n", " spec_corrk=atm.transmission_spectrum(Rstar=Rs)\n", " if timeit:\n", " %timeit atm.transmission_spectrum(Rstar=Rs)\n", " spectmp=spec_corrk.copy()\n", " spec_comp=spec_ref.bin_down_cp(wn_final_grid)\n", " rescorrk.append([1.,Rf,(spectmp-spec_comp).std(),spectmp,spectmp-spec_comp])\n", "\n", "rescorrk=np.array(rescorrk).reshape((len(Rfin),5))" ] }, { "cell_type": "code", "execution_count": 19, "id": "96136f5f", "metadata": { "execution": { "iopub.execute_input": "2022-09-02T07:50:22.670766Z", "iopub.status.busy": "2022-09-02T07:50:22.670149Z", "iopub.status.idle": "2022-09-02T07:50:23.802948Z", "shell.execute_reply": "2022-09-02T07:50:23.801705Z" }, "papermill": { "duration": 1.204485, "end_time": "2022-09-02T07:50:23.806496", "exception": false, "start_time": "2022-09-02T07:50:22.602011", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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CAZB0EkMMc4gd04/QtFim/OkBwvsmYQkP8rLlvkuXmrToSnREaCTo2PBQLZGdnc2aNWsuaQxvz549vPXWWzz++ON8/fXX3Hrrrdx6660cOXKEJ598ktjYWGbPns3dd9/N448/jr+/PzfddBPDhg3jkUceITY2lqCgIJ544okm9RYdLeWDN9ZxYKvWeju6/xRjZw7hqXfvxuJvYsCYdHLmj6LP0CT6DE0iLDrYfaxer2sidr5Eyc4jlOzOp3zfMUr3HuXMweMkTBjMxJfuQW82ojcbSbl6BGF9E4nol0RYnwQMftp4m85oIG7sAC9fQefiKC3Etvtr9PF92q1OnwsPNWDAAPWRRx7xuEsrwkN5D2u9jcO7jnMgt4CzZ2q4+SEtnPuiic+zd3M+oVFBZA5PJnNYMoOv6M3QiZfWJetqrkd15Wcp23eMsr1HsdfWk3XvHAA+/sHTlO4uwBTsT3jfJML7JdJrZCaJk7K8a3AXQK2vwZ6/HfuhXMzZ16ML60XdV3+n5r0nseTczncR2T0zPJS39qUVoZHaxm5zYDBqIdtX/elLPl2+gSO7T2C3OQCITghjwc+nIUkSD/y/mwkODyAyLtTnJxUa3DoAdi39D/veW0/1iVJ3fmjvOIbIs5EkibFP3YYpJICA2HCfv+72wFF2krovlmI/nIujcC84tb8VfXwmprBemIZdg7HfOHSRifDll+1yTp8TvK5ATxc7h91B/t6THMg9yoGtBezPLeDwruP8I+85gsMDsNXbCQoL4Ib7r6LPsCQyhyUTnXjuR54+KMHLV3DpWCtrKN5+iNNbD1G8LY/S3QXM++J5TEH+6C1mIgel0nfBZK1L2jcRS+i57nd4vyQvWu49VKcDx/H92A/nYj+Ui3HAeMyj5yJJEvUb/oEhZQiWqXdhSBuKIW0oOn9tUk0XGAaBYe1qixA8AaDN4KpOFb1BT2VZNXs3H+FseQ2VZVVUllVztryG2XeOJ7lvLP95+3+8dN/fAQgItpCRlcS190xy7SHaeVvudTSqqlJZUIRfRDCmIH8OfbSRbx5eCmgTCmGZiaTPzsZRZ4Mg6HfzZPrdPNnLVnsf1elA0ulRnU6q3rgL26EtUKetbJFCojEka5s46cJ6EfbiFiR9++07eyF8TvDESosL47A7KC4s52x5NZWl1VSWV1NZVs2g7N6kD07g+KFiXn/on5qYlddwtryaqvIaliy7nck3jOTwruM8cl3T2A2BoX6MmTaI5L6xjJwygEeW3U6fYcnEp0f5bKTd83FY7ZTsPEzx1kOc3qa14OrLq7jyd3eSNmM0UYPTyLpvLtFZ6UQOSsUY0DxIZ0/EUXYC+6Fc7Ie3YD+UixQUQfB9y5B0OiS/IMwj52BIH6a13iISmnTnO1PswAcFz1tjeJ2NqqrU1Vi11lWZJljhMcGk9I+jvtbKsqdWNWuBzfrxlVwnT6bkZAU/HNB8S8afPHs96YMT0Ol1lBdXEhQWQK/kSILC/QkOCyA5U3NOzchK5NW1DxEcHkBwWACBYf5Nll/FJIYTM39Up92LjqLm9BlObz2EJSKYmOEZ1JZU8NmtmgN7cEoMCRMGE53Vm5jhmr9hcHIMQ37SszcMVx12nMX56GN7A1C1dDHWLS7vMrM/hpQhGDPHuMsHLnzJG2a2ygUFT5ZlA5AFpLiSCoCtiqJ4vjehANACSBpd0Sn++7eNlBVVusRKE7QBo9OY/8BUVFVlZswD1FXXNzl+zt0TuP/FG9Eb9Hy87BuCw/wJCgsgODyA1AFx7k2Rw6KCeOiNWwiOCHDnN7wDxKZE8sY3S2iNgGA/BoxO65ib4GX2v7+eoi0HOb3tEFXHSwBImzmamOEZBMSGk/PG/UQOTBW+bi7U2ipsR7aea8Hl7wBrHWEvfI9kCcQ0dBqGtGEY0oejj89E0nftNlSr1smyPBh4ELgWCAQa2qEqUCXL8r+AlxRF2dnhVvoo1ZW1bP/mILlr95G7fh/xaVE8/Q9tidlffv0Rp4+XYzQb3C2phhDfkiTxg59ehcliJDgigJDwQILC/OmVonnVG4x6Pil+udXzmixGpt3a9kqG7o61sobT2w9TvC0Pp83O8AfnAbD/vfXUlZ8lemhv+v0wh6isdHegSkmSSBjfc4dJVFXFefoo9iPbMPa/El1QOPUb/0XNimdA0qFP6It5zHUY0oeBTpuRNw2b5mWrL4625HgbWtimd9DWvp5AE704YARaFOPb0JaGdRpdeQzP4XC6u34vLnqH/7z9P5wOJ2Y/I4PG9mbEVf3dZZWvH8Y/yILZz9iii8Jtj/bsrtPF0NiXdM/bn3Nw5TecyTsBqoqkk4gZfs5xddpff4ExyE+4hbhwnjlF3Zd/x16wE8fRXag1FQAE3PEy5uHTMQ29Gn1cbwwpQ5Asvunw3Zi2BG+Goij/aSVvGSDLsnxNB9jUJl1pDE9VVQ7vOk7uun3krtvHvi35vLf/t5j9TPQZlkRoVCDDJvWj/+hUTOamg7PhMcGt1Cpoi/qKas7kHacyv4jK/CLOHD7Jya0HsH2ejTHAgtNmJ6BXGCnTRrY4udAZG8V0RZzVZ3AU7MJesBN7wQ5MQ6/GPHouqt1K3ed/Qh/XRxO35EEYUgajj9P+SejCeqEL8921yefTquC1IXYXVcaXaSk8VMO60W9WbeOl+//OmdNnAUjsE8OkeSOoq7Zi9jPRf2I8HzyznE9f/T9WrFgBQHV1NbIsYzKZmDhxIjabzSvhoro61soaKguKtFd+ERX5RQz76bUEJUZx5NPv2PSbdwBtuVVQUjSWfrHYauowBlgYeMc1DLyj0/8PdynU+hqc1RXow2NR7VYqfjMTZ3G+O18XnYpq1cK16yISCXsxF8nk5yVrOxdPJi2mooVdT+Vc91VVFKVLbZJZ+dIPm6WZhl0DxKNaazn7+p3N8s1jrsOcfV2L9TWEh3rmqWeZd+0P+N19S8nPLeMnz17P2OmDiU4MZ/jkfgyb1JdhkzKJTghvcnxaWhpLly5l3rx57rSVK1cyb948Zs2axfz587nmGu2H2RHhoro69jorZ48Way21giISJg4hLCOewq93suYn50J5STqJgLgIaksqCEqMImHCYIISowhOiSEgNgKdXsf69evxjwr13sV4GfuxPdiPbNO6pQU7cZzMw9jvCoIWLUUymLTxuOzrMSQPQp80EJ3/ud6FJEnQQ8QOPHNLWQ5Eo43hOTrUmi7EV2u/4cO/fcY7ygeE6GIx7j3C4HEZ+Ls2SO4zNIlHlt1OXl4ev/3Dr5sc2xAe6nwKCwsZNEhzutTrtf8dnR0uqjNx2uxUnSilMr9I22Q5I57KgiJW3/EC1SfLmpQ1hwUSlhFPeGYiw382j+CUGIKTYwhKjEJvOjccEBgXQWBcRGdfSpdAdTpwFh3BXrAD55li/Kb9BICaFc9iP7gJKTAMQ/IgjFlTMPY+t4w04AfNXZR6Kp4Inh1YrChK85AgXqC1SYvgB/7W8gHr1yOZ/FrNdzqd5G0vdI/DJWXGsOgP89l7cDfTR97IkFH9+eS7d7nl9rGUlJ5GH1bP0qVLPQoPdT4JCQkUFhaSlZXljlHXUeGiOouGjZdVp0pgXAT2OitfPvgmlQVFnC0sQXWtvhh4xzSGPzgPv8gQYkb0ITg5xi1qwckx7nE2/+hQBi70rZm/jqBxyK36zR9R/80/sB/dBfWuFQv+IVim3IGkN+L/g8eQLAHowuPFZMwF8ETw7gIUWZYjgUpXmqooilc8Cttz0kL5xT9Z/e4m94Yuqf3jyHLFXduzZw///PSf6PV61sxbQUJiPPv27/U4PFRpaSmPPvooW7du5dlnn2XJkiVcd911LFq0iE8++YRZs2Zhs9k6PVxUe7D9jY8oP1BIZUExZ48WYa+1kjZzNFc+fyd6sxFrZQ1hfRJInjLcLWwNEXeNARaufO7HXr6CroezskSbUMjfgaNgB/ajuwh5ZBW60BjUqnJUaw3mMXMxJA/CkDwYXUwqkss1xBCf6WXrfQdPBG8RmtPxrxqlqUDXcqFugzOnz7L1y/3krtvH4V3HeW39L5AkCUuAibHTBzNsUl+GTsgkIvbcsOTKlSvdn1esWMFbb72FzWbDZrORn5/Pyy+/TGZm639oERERvPlm003XAgIC+Mtf/tJi+cYx87oCDqud0t35FG05SHHuQfQmIxNf1nwIj67dir26nuCUGGJH9yU4JYaI/smANiZ0zd8e9qbpXR5n7VkcBTvRx/ZGFxJN/ZZPqV66WMuUdOhjMzAOykF1aD0Hy6RbsUy61XsGdyM8EbxxwGfASsDWsea0Lxs+3s4fl/yXosPvAxAQ4kfW+D5UV9QSGOrPwifmeFxXdw8PZa+zYrBoUYM3//4f7H93nXszmODUXsRfMdBddub7j/nEpstdBWdNJdZvP3C5hOzEWXwEAP8FT2MZNx9D6lD8rn9Ya70lDkAy90zXmcaojmokvbYyyGktbLd6PRG8v6G16Jb72nIyo8mAX6CJhU/OZvikfmRkJaI3XL6fdHcQu7qysxTlHqR4y0GKthyk/EAh8795CVOgH6FpsfT5wQRihmcQPSwDv4imPoNC7FpGddhxnDzo6pbuxJCahXnsPHA6qFnxjDtSiHm01jXVpw4BQB8ei1/OQi9b7z1UVUW1ncBZswtn7W6ctbtR7WVYMlYgSe27rsETwbsN8Ad+IstybYONXc0tpSVGTR1AjWlSl4qG6w1UVaX6RCnm0ECMARbyPtzAhke1rrXOZCBqSBoDF07D6ZpgyLj+Sm+a6zOo9TVIZn9UVaXq9R9jy/serNpPRPIPQQqJBrS4bqHPbkAXEuVNc7sMqupArTuEZE5G0pmxl76LveSvWqYuCJ3/APQhV4NqA0mPzpQA5LXLuT0RvFKgpF3O1g505aVlXQXV6eTMoZMUbTmgteByD1Jzqpzxv7+L1OmjiB7am2GLryNmeAYRA1OauH0IWka11mI/ulsLQ35kO4787Ugh0YT84p9IkoQuPA7z2HkYUoZgSBmCLiqpyYxpTxY71VmHs3YPzprdOGt34azdB2odpsTn0AcMRR84BskQis5vAJIpEUnquB7EBQVPUZSUDjv7JdCVlpZ1FZw2O6V7CtCbjIT3S6L6ZBmr5mob5/hFhbi6pn2IykoHtDBHg+7sWpMkXQlVVXEW5+M4vt+9OL7qLz/Htv1zAHQRCVp03t4j3ccELHjaK7Z2RVR7Oc6aXUimWHSW3qj1R7EeWwLokMxp6EOvRuc3AJ1F+3vUWdLQWTonOo8nKy2MwN1oe8uqwHrgj4qi+NQERnfj5Ld7Kfr+gBbqaMdhHHVWUqePYvzv7yIgLoIrn7+TyMGpBCVGCd8sD7Af349t22r3igW1+gwAoc9/iy4oHMuk2zBnX6e13oIjvWtsF0NVHTgqvtBabzW7UG0nANCHzcVk6Y1kSceU8Bt0fv3dExHewpMu7VKg8bqt64BRaGN7gk6g7kwVxbkHqSs9S58bxgOw+fn3OJN3grDMRPrMu5LoYRnuQJWSJJE2c7Q3Te6yqA4bjuMHNGHL347fNfeij07Gnr+d2k9fQx/bB1PWFPQpQzCkZiEFaEPVxj6+H/C0PVBVO2pdHo7a3UjoMYTPBXTYTi8H7Oj8BqAPnY7efyCSRQsSKkl69IEj26i18/BE8GahuaT8AtABvwNmd6RRAjixcQ8Fq7dQtOUgFYe0/5iW8CAyrh+HpNMx/g934x8diilIuDC0hqqq4HQg6Q04TuZR/ffHtdUKNi2wqhQciXn0HPTRyZiHz8A8fHq3CIHUEdjLP8Zx9ivX+Jt2/3T+gzGEa5vxWFJfA33X343NE8HbAGxUFOUwgCzL/wPEKHc7oaoqFYdOai4iuQcZ86tbMPqbOfXdfo58+h3RWenuiLyRA1PdLiGh6XFetrzrodbXaBMLR7a5W3CWSbfhN/VOpIBQcDoxX3mTNrGQmoUuPM79A5Us3u1qdRVUWynO2t04anej1h3GlPQ8kqTDWX8E1VGNPvQa9H4DtAkG47k1zZLBN9Y3eyJ4IcCzsizPRgsAOgb4nyzLq9DcUzz33hW4Kd2dz/a3PqE49yD15VUAWCKCqTpeQlhGPIN+fA1Zi+a49zwVNMd55hTOSs2BQHXYKP/FGLC5wh5FJWHsMxp9nNbN1wVHEvzQ+16ztSuiqpobkiTpsVeux356GaqtSMuUzOj8+oHjLBhCMMYs6vKtN0/wRPCucL03ds4a73pXEbSKtaqWMwePU37wOOUHCjlz8DgDbr+axIlDcDqcnDlQSMKEwcQM70PM8AyCkqLdf1RiR6zmqHYr9kO52PZ8jW3PVziO78fQewQMu0tbRH/9w+jCYrWJhaDm0Wp6OqqjGmfdPpw1ezQH37p9mBKeRu8/CEkfimTJwBA2V5tcsPRGks7JQ3cQO/BM8FI73Aofx2mzU1FQxJkDx/GPCSNmeAbVp8pYkfMLdxljgIXQjHicVm2xStTgNK777FlvmewzOCuK0bkceKv+/FNsO9aA3oghfTh+cx/COHACHHCNcY5f4E1TuxTa6oUikHTojNE46w5Rn78IcKK5h6SgD85B0mubFekDstAHZHnT5E7BEz+8AlmWBwETXElf9tSNe1RVxV5TjzHAgqqqbHjsL5TtOUrFkVM4bZqQpc8dS8zwDPxjwhj2wPWEpscS1ieBgLiIbvNfsiNRbfXYD27GuucrbLu/wll8hNDnNrpcQ27FnH09xswxTScXXILXk1FVFbVuP87aPThqtRYc9jIM4fPQRd+JZErEEHkzOr9+6Cx9ve4e4i088cP7GdrMLGhjeKosyz/3VniozlxpUbo7n5LdBe7uaPmBQiIGpjD1Tw8iSRI1p8rxjwklftxAQvvEE9YngZBULf6/JEkM+nHPDjXuKarTiaTTYd2xlqqli7VxOIMJY5/RWK68EVzBUo2Z2d41tAuhOipx1u4Bpw19sDbaVF/4ODgqkYwx6P2z0Pn1R+efBYCkM2GMbB4VvKfhSZf2YWAPWjgoHbAYWIKXwkO190qLxt3R8gOFWCtrGPMr7Q9jy4v/4uS3e93d0YaNYRqYuvRn7WZHT0Ktr8F2YBO2PV9h2/M1ftNkzNnXoY/vg/mKGzAOGI8xY1SP2WfBUxxnN+Co2oSzdg+q9RgAkikJffCVSJKEKf5JdMZeTWZPBU3xRPAKAUVRlGUAsixLwD0dalUH0BCZ98zBE8SNG4AkSeS+spLdf1nt7o5Keh2hvePdLY5RS27C4GcS3dF2QrXVc/aNu7HnbQa7DUx+GPuMcY/R6SMSRDhyQHXW46w7oAlb3WGMcQ8jSRKOqm9xnN2Izq8/+pCrXMuzzm1Bqfcf4EWrfQNPBG8X8CtZluPRWni3A2tkWX4QQFGUFzvQvsvi9I7DlL3/Hf9ZtokzB49jrawBYN6a3xHQK5yI/sn0v+UqrTuakUBIWq8mC+lDewtft0tFra3Ctv9/2PZ8DXoDAfOfQDKakcz+WCb8EOOA8RjSRyAZzd421es0hHN3nP0WW+m7qHV5aDsrgGRKAEcFGEIxRt+DsdcDHbq4vrvjieA19B8bRzxuCL+qAl1W8M4ePU3Vd0ew9E0iZdpIwjLiCctMwBKuzUwlTxlO8pThXraye1H/7QfUb/wX9kO54LSDJQBT1lR3ftDdihet8z6q6kCtL3DFfduDs3YPxrhfovfrDxJIkgF9+PXa+JtfPyTDuShskl6sqrlcPBG82zvcig4iZdoICgJqmDRpkrdN6ZY4ayqw7d2Afd8G/H/wBJLRhKPoCGrtWSxXLcTYfzyG9KFI+p67MEd11IBqQzKE4Kw7Qv3RB8Gp9TTQh6Pz748kafdHHzgGfeAYL1rb/fHELeWvnWFIR6Az6MXYWzvjKDuJ9duV2PZ8jf3INlCdSP4hmCfeiiE+E79Zi/Gf86C3zfQK7si9tfvdrTe1/giGiBswRi1EMsWiD57sar0NQDLGiL/PTqZVwZNleSPwR+BjRVFOn5cXhRZU4E5FUYSvQDdCdTq1JVvF+ThcL2dxAeZx8zENnoxaUUTtJ6+iTxqI5Zp7tFZcymD3Dlo9Ify7qjpQbae0rqn1KJIuAEPYLADq8+8HZxXo/NBZ+qKPuAl9oBZpRdJZMPW6z5um93jaauGdBP4MIMvyUbSNuCUgDkh0lfmwI40TdAyqqqJWnsZRlI/jtCZohpTBmIZejVpZTMVjE88VNlrQRyejWrVumD55kNsRuLujqk5UWxGqvcw9A2o9/lscVRtBtbrL6QJGYAibpbmGxD2EZIhEMqe2+34MgsunVcFTFOU6WZbTgQVo62mTXFn70ITwXUVRDnW8iYJLQVVV1KpyrYV2Oh/JPwTT4Bwt/Psvx7gDXAJgMGLJWYhp6NVIITH4L/g1+qgU9NEpSCHRTVptkk6P1M3ErvGm147Kr3FUbcRZX6D5uqn1oA/BL+MfAEiWdAyGCCRzMjpzMpIpqcmqBTEG17VpcwzPJWgidnUXxllTibM4H9Va5w5SefbNe7Af3IxaW+kuZ+h7BabBOUg6HZZJtyEFhKCPSkEXnayFSWrokkoSlnE3euVaOgPVXq75uNUXuLqkBajW41h6v4ekM+Os24ujZjs6czI6/8HauznZLYrGiPnevgTBZeDJLK3Ay6h11TgritDHaHH/az97E9uu9TiKj6BWlQOgi0kl9In/AqCPSUMXGoM+OgVdVDL6mFR0EfHu+vym39v5F9GJaF3RYlRrgVvYjFE/QjJG4ahch634La2gIQKdKRldyNWuLqoZQ9QdGKPv8qr9go6jywieLMtpwKNAiKIo87xtT2ej2urdTrjWHWux7VyDo7gAR3E+akUxmP0Je3ErkiRp3VG9EdOQKeiiU9C7RK0B/2sf8tJVdC6qqqLaTxNiysNp64/OGI2jegvWwl+DWneuoCEcg30mkjEKXdA4TJZMdOYkd6SQxohxt+5NhwqeLMvLgJlAsaIoAxulTwNeAfTAnxVFec4VUfkOWZZXdKRNXQHHyTxse77WBO10Ps7ifJzlJwn9/Xfo/EOwF+zAun0N+ugUjP3GoY9ORh+dAqoTJD3+1z/s7UvodFTVgSTpUe3l2EreRq3Px1mfD84a+oaDsyoWXdgMJGOctiuWKfncOFsjYdMZo8EY7b0LEXiVNgVPlmU98D7wtqIoqy6h/uXAa8Db59X5OjAFbZ3uZlmWVymKsucS6u/yqNZabHu+wbr9c/xmLUYfHoct73tq/vUskl8wupgUDOkj0Ecng6rFU/WbcR/+sxZ713AvoapO1PpDOOuOoFo1UXPWH8EQMg1j1G0gGXFUfo3OFc9NZ05m+54zDMuYCIDOFIspRvbuRQi6LBeatHDIstyXczO0F4WiKF/JspxyXvIoIK/RHhnvAXPQIrJ0C9T6Gqxb/4t1++fY9nwDtjptlnTkLPThcZhHzMQ0dCpSQFiLjqcNEwjdGVV1oFpPuFpqR5AMYed82Y4+BM5akIxIpmT0/sPQWVw7sukDsWT8s8l9O2tb32PjuwkuDk+DB/xaluVkNN884LKCBsQDxxp9LwRGy7IcATwDDJVleYmiKC2GAy4tLeXRRx91f09LSyM9Pb2logBUVVWxfv36SzTVc4w1ZeitNdSFJmCoq6Tfqoex+YVSmZxNZXwWVVEZUOyA4o63pWuhYtRVYdJVUW2PBSAjdCWh5kPoJG2BvKpCWX1f8rZrXc9g01ysjiDqHGFo8SoArGhbIjens56xwHu01zP2RPB+4HpvHPyt3YMGKIpSCvzkQuUiIiJ45plnPK53/fr1TJw48TIsaxlVVXGeOoR12+dYt3+O4+guDP3GETx3GQCOIf3R9UqnVw9cOuQ4+y2O6u9R64+4xtmqwBCJX+93ALCVnADnQCRTCjpLKpIpkQSdhYRLPF9HPWNB16G9nrE3ggcc59xKDYAEV5pHdGbE4/Np7KBavewBrFs+BUCfmoXf3J9jGjLFXVYf27tTbetMVKcV1XoMZ32+W9RUayHmtD8hSUYcNbk4Kte4xtnGozOnIplTzvmyRYq9JwTewaPgAbIsh6FtzwjwraIo5Zdxzs1AhizLqWhCdyPaag6PaO+IxxdCtVu16Lzbv8C252tCHl2FZAnENPRqDBmjMA3OQRca02n2dDaqakOtO4Kzbh/64ElI+iDs5R9gP73MVcKAZE7UtvRz1oLeiDHqDozR94iF8YIuhyd7WlwB/BsIcyWVybI8W1GUjR4c+y4wEYiUZbkQeEJRlKWyLC8C/ovmlrJMUZTdl3oBHYXjZB61n72Bbdd61NqzYPbH2H88zppK9JZATMO6734VTutJHOWrcNbtx1l30L1uVDLGoQ8cgT4wG8kYg86cgmRKaLKdH4CkE0E9BV0TT7q0LwI2oGESYSHafhYXXDSoKMpNraR/CnzqoY1N6KgurfNsKbYda9H1SseYPgxVdWLb+w3GrKsxZU3BmJmNZOpee8WqzjqcdQdx1u7FWbsPQ8hk9EHjwFmH/cxH6CwZGEJnaoEo/foiGaIA0JmT0JkvaeJeIPAqngjeAOABRVH+BO7IKS90qFVt0J5dWkfJMc11ZPsXWoRe1Yl50m0Y04ehj80g9Ln/dRsXEVV1grMWSR+A6qyjvuBB1PojaPuUgmSMRXWM1j6bk7H0+cAdmFIg6C54IngngFtlWW6IjHKLK83nUFUVtaIIXWgvVFXl7Mu34iw7jj4+E8s1MqYhV6FP6Ae4dlr34WVG2jZ++3HW7sNZtxdn7X50AUMxxz+GpLNoS6sCR6Pz64vOkolkCHUfq+2Z0P3j2gl6Hp4I3u+Bt4DPXd8l4M4Os+gCXHSX1unEdnCzuyWn1tcQ+twGJJ2egFueRRcRhz7St7tn2j4JR1BtReiDrgCg/tgjqHUH0XaZT0YfdCX6gHP7d5jiet7yNIHAk1naP8mynAdMdyV9qijKuo41q3Uupktbv/kj+n/0JGfrz4LBiDFzLMYhV4HDATo9xkzfjV3mqNmNs2qjNv5Wd1CL2yaZXV1RPcbIH4FkQGfpIzZ/EQhceLKWthB4XFEUnwvBoQvtxdmYfiRMWYBpwHgkS6C3TbpotD1K83DW7kWt26dt06cPwFmzFXv5h0jm3uhDr0Hn1w+dpS8NXVF94AjvGi4QdEE8WUu7C2h97VYnczFdWmPGSI6N+THpwyd2jnGXiaqqgBNJ0uOo2Ymt+C3UusOAAwDJGINqP42kD8AQdi2G8B8g6UxetVkg8CU8GcPzB34hy/IUzk1WqIqizOk4s1qnsx2POxLVUaX5utXuc00u7MMYI2MInoSk80fSBaCPmIfO0g+dX18kQ5j7WLFYXiC4eDwRvIZdyYa5XqCtpRV4iKqq4KhEtZ0EnQWdOQXVXkpdXsMCEwnJlKQ59Bq0WG06SzrmpOe9Z7RA0A3xRPBSL1xEoKpOsJeiqvXoTNoyeOuJP+CsP6IJnbMaAH3wJG2GVB+OIepOdJY0zS1EtNgEgg7Hk0mLb4HHFEVZ2jkmtY13gwfYwVGBZIgAwFb6vrbZsvUEqu0UqFZ0foMxJ/9eK++oQDKEaBMKpjgkYxySOQXAtSFMj4tkLxB4FU8nLbpM6I+OHsNTnVb3RICj8iscNdtQrSdRbSdQbcVIxhgs6csBcNbuR7UVIZkS0AeORDLGugUNwJwoNnwTCLoSPjdpcbmorjDqkiThqN2Ds3qrW9Cc1pPgrMLS599Ikg5H9RYcZzcgmeK0SYPgyUimc1HbzAm/8tZlCASCS6BbT1o4rSeJ8tuO7fQRVOtJnLYTqNaTWNL+DIYwnNW52Ev+DwyR6Iyx7lYaqh0kE8Ze92GKfcDblyEQCNqJbj1p4azZQVrIp9hLdUjGGK2lFtyXhgXzmi/bPCRdy1FQzg97JBAIfJtWf9GyLA8G8hVFKTgvPRYYCRS0eGAXQh80ls07axgzbnaL+42KmVGBoGfRVhNmK3CjLMtrgWJgiqIoa4HxwN/Rgnd2OhczSyvpg6h3hInNlQUCAdC24EmuF43evU53WmkhEAg6lwsFPVNb+SwQCAQ+x4VG5f8K2NHE7mNZlh0eHCMQCARdkrbE6yjnWnWlnWCLQCAQdCitCp6iKCmdaIdAIBB0OD63cUHDLO2OHTu8bYpAIPAxfG48TszSCgSCS8XnWngCgUBwqQjBEwgEPYa2lpbdBEQqivL/ZFlOBP4BDAR2AHcqirKnk2wUCASCdqGtFt7jQJrr82+A0YANGAG81sF2CQQCQbvTluAlAdtdn2cAdWi7lz0GDG/tIIFAIOiqtCV4VqC3LMuTgXBgo6Io5UAlYpmZQCDwQdoSvC+AR4DP0QTuXVf6WOBQB9slEAgE7U5bfnh3AYVAJvC1oih/lmXZCJiBNzvDuJbw5iY+AoHAt2lradkZ4MHz0mzAjR1sU5sIx2OBQHCptOWWsqyN41RFUe7oAHsEAoGgw2irS/sjzk1OnB8AVAWE4AkEAp+iLcGrAgKBPGA52iSGoxNsEggEgg6hrVnaXsBC4CSa4/EKYC5wSlGULR1vmkAgELQvbU1a1KC17JbLsnwX8Aqam8pZ4HedYp1AIBC0I21NWiQAt6ON5aUA3wLLgPc6wzCBQCBob9rq0uYDT6LtWv048AJQDlwty/J1HW6ZQCAQABs3buSdd95h48aNl11XW5MWDWKYDjzdKF1Cm6UVm70KBIIO5YMPPmD+/Pk4HA7eeecd1qxZQ3Z29iXX15bgPXXJtQoEAsElUFJSwrp161izZg1r1qwhLy/PnWe1Wlm/fn3HCJ6iKK0KnizLAy/5jAKBQOCiqqqKr776irVr17JmzRq2bdsGQFBQEBMmTGDGjBm89dZbWK1WTCYTEydOvKzztbmnhSzL16PFxPtOUZQvZVkeBPwamAkYL+vMAoGgx2G1Wvn222/dLbhNmzZht9sxmUyMHTuWp59+mpycHEaMGIHRqEnM/PnzWbZsGQsXLrys1h20PUv7CrAI15idLMsvA/cCJqDd/fBkWQ4AFLSwVOsVRXmnvc8hEAg6F6fTybZt29wC9/XXX1NTU4NOp2P48OH87Gc/IycnhyuuuAJ/f/8W68jOzqa+vv6yxQ7abuHNR3NFeR2YBDyANnP7U0VRPvKkctd63JlAsaIoAxulT0Pz69MDf1YU5TngOmCFoigfybL8PiAETyDwMVRV5cCBA26BW79+PWVlZQD069ePhQsXkpOTw4QJEwgLC+t0+9oSvCjgQUVR/i7L8hdoa2d/6anYuViOFg7+7YYEWZb1aCI6BS381GZZllcBCcBOVzGxhE0g8BGOHz/uFri1a9dSWFgIQGJiIrNnzyYnJ4fJkycTFxfnZUvbFjwJeFCW5RvRxutU4AFZlm9Bi5Yy50KVK4rylSzLKecljwLyFEU5DCDL8nvAHDTxSwC20YZ/YGlpKY8++qj7e1paGunp6a3aUFVVxfr16y9kqsCHEc+4c6msrGTbtm3k5uaSm5vLsWPHAAgODmbo0KHccMMNDBs2jPj4eCRJizty4MABDhw4cMnnbK9nfKGNuIe5Xg2Mcb1fToj3eOBYo++FaBsEvQq8JsvyDKDVVmRERATPPPOMxydbv379Zc/sCLo24hl3LNXV1XzzzTfuFlxubi6qqhIQEMD48eP56U9/Sk5ODoMHD0an65idX9vrGbcleKmXXftFoChKNdpSNoFA4CU2btzImjVriIqKoqioiDVr1rBx40ZsNhtGo5Hs7GyeeOIJcnJyGDVqFCaTydsmXxRt+eEVdNA5jwOJjb4nuNI8QoR4FwguD1VVKS8v5+jRo01eubm5rFu3DqfT6S47bNgwFi9eTE5ODuPGjSMgIMCLll8+F+rSdgSbgQxZllPRhO5GYIGnB4sQ7wJB29TX11NYWNhM0Bpex44do7q6uskxJpOJwMBAt9jpdDoeeeQRnn766ZZO4bN0qODJsvwuMBGIlGW5EHhCUZSlsiwvAv6L5payTFGU3Z7WKVp4gp6MqqqcPn26RRFr+Hzq1Klmx8XExJCUlMSAAQO45pprSExMJCkpyf2Kiopi06ZN5OTkuFc1TJ8+3QtX2LF0qOApinJTK+mfAp9eSp2ihSfoztTU1LjFq7GINRa2urq6Jsf4+fmRnJxMYmIiM2bMaCJkSUlJJCQkYLFYLnju7Oxst+/cxIkT28XRt6vhjS6tQNAjcTqdFBUVtdrVPHr0KCUlJU2OkSSJ2NhYkpKSGDp0KHPmzGkmaOHh4W73j8slOzu7WwpdAz4neKJLK+jK/Pvf/+bDDz8kOjoao9HYRMwKCwux2WxNygcGBpKcnExSUhIjR45sJmZxcXE+NxPalfE5wRNdWkFXosEhdvXq1axatYqCgnPODTqdjoSEBJKSksjOziYpKanZ2FlISEi7tc4EF8bnBE8g8CYOh4MtW7bw+eefs3r1arePmp+fHwkJCUiShKqq6PV6nnrqqSarggTeRwieQHAB8vPz3QK3Zs0aysvLAc1H7cEHH2Tq1KmMHTuWrVu3NpnlnDx5spctF5yPzwmeGMMTdDSVlZWsW7fOLXIHDx4EID4+nrlz5zJ16lRycnKIiopqclxPmOX0dXxO8C5mDK9h8w+z2Sz++AStYrfb+f7771m9ejWrV6/m22+/xeFw4O/vz6RJk7j33nuZOnUqffv2veB4W3ef5fR1fE7wPGXt2rVcffXVOBwO3n77bZYvX86cOXNaDTIo6FkcPnyY1atX8/nnn7NmzRoqKiqQJInhw4fzy1/+kilTppCdnY3ZbPa2qYJ2pNsK3ieffILdbge0sNILFmir16Kjo0lOTiYlJaXZKzk52efXCgpa5syZM6xbt87dijt8+DCgxWybN2+eu5saERHhZUsFHYnPCZ6nY3jz5s3jjTfeoL6+HqPRyJIlSzAajeTn51NQUMD27dtZtWoV9fX1TY6LiopqUxADAwM7+hIF7YDNZuO7775zt+I2bdqE0+kkMDCQSZMm8cADDzBlyhT69Okj3EJ6ED4neJ6O4TUMILe1+UeD53t+fr77VVBQQH5+Pjt37uSjjz5qJogREREtimGDIAYFBbXbtQouTMM4rclkIioqyj3RsG7dOiorK9HpdIwcOZJHHnmEqVOnMmbMGPfmMIKeh6SqlxPLs/MZMWKE+v3333tc/nICBzqdToqLi5uJYePX+esaw8PDWxXEoqIiNm/eLGbw2gFVVVm5ciULFizAarW6/d8AUlJSmDp1KlOmTGHy5MmEh4d72VrB5XKxv2NJkraoqjri/HSfa+F1Jjqdjl69etGrVy/GjBnTLF9VVYqLi1sUwr179/Kf//yH2traZsdJksTkyZMZPXq0O0R9WloaCQkJHRYx1pepr69nz549bNu2rcmrsrLSXUZVVWbPns0LL7xAenq66KYKWkQI3mUgSRIxMTHExMQwatSoZvmqqlJSUkJ+fj4vvfQS7733HqqqoqoqW7du5csvv3RPrIAWkyw1NbWJCDa8p6Wl9YgZ5rKyMrZv395E2Pbs2eO+T/7+/gwZMoSbb76ZoKAgXnnlFWw2G2azmYcffpjevXt7+QoEXRmfEzxfcjyWJImoqCiioqK47777+PDDD91e+B9//DEjR47k2LFjHD58mEOHDnHo0CH35w0bNjRpwQD06tWL9PT0ZmKYnp5OdHS0T7VqVFUlPz+/Wavt6NGj7jKxsbFkZWUxY8YMsrKyyMrKIj09Hb1e7y4zd+7cdtukWdD9EWN4ncjGjRs99sJXVZWysrIWxfDw4cMUFhbS+NkFBAS4W4Lni2JycrJXI2601CXdvn07FRUVgDZ0kJmZ6Ra1rKwshgwZQkxMjEf1d6VnLOgYxBieD3IxXviSJBEREUFERAQjR45sll9XV0dBQUEzMczLy2P16tVNxg51Oh2JiYnNWoUNn9tzQ+Ty8vIWu6QNYZEauqQLFixwi9vAgQN7RHdd4H2E4PkoFouFzMxMMjMzm+WpqsqpU6dabBmuWrWK4uLiJuXDwsJaFcOEhAR3F7JxC3XMmDEUFBQ065I2Do/U0CWdPn16q11SgaAzEYLXDWmIkhsbG8u4ceOa5VdVVTURwYb33NxcVq5c2WQixWg0kpKSQnh4OFu2bMHhcCBJEn5+fu6NYBq6pGPHjkWW5YvukgoEnYUQvB5IYGAggwcPbnHSx263U1hY2EwMN2zY4BZCVVUZMGAACxcuJCsri0GDBokuqcAnEIInaILBYHA7Sufk5LjTN27c2CTW28svvyxmRQU+h88Jni+5pXQnRKw3QXfA5wRP7GnhPUSsN4GvI9YxCQSCHkO3F7xDhw552wRBByOecfenvZ6xzwleS4vxAXbs2NFiekOgx65Ca3Z6q86LPdbT8hcq11Z+a3niGXfOsd35GXcbwdu5c2cnW3JpdISdl1PnxR7rafkLlWsrv7U88Yw759ju/Ix9bi2tXq+vcDqdB89PN5vNIfX19RXnp/v5+UXW1taWdI51F6Y1O71V58Ue62n5C5VrK7+1PPGMxTO+kE2NSFZVNer8RJ8TPIFAILhUfK5LKxAIBJeKEDyBQNBjEIInEAh6DELwBAJBj8HnlpZdDrIspwGPAiGKoszztj2C9keW5bnADCAYWKooymrvWiRob2RZ7gf8FIgE1iiK8oanx/r8LK0sy8uAmUCxoigDG6VPA14B9MCfFUV5rlHeCiF4vsMlPuMw4A+KotzR2fYKLp5LfMY64G1FUX7o6Xm6Q5d2OTCtcYIsy3rgdeAaoD9wkyzL/TvfNEE7sZyLf8aPufIFvsFyLuIZy7I8G/gE+PRiTuLzgqcoyldA2XnJo4A8RVEOK4piBd4D5nS6cYJ24WKesSzLkizLzwP/URQlt7NtFVwaF/s7VhRllaIo1wAXFTqpu47hxQPHGn0vBEbLshwBPAMMlWV5iaIoz3rFOkF70OIzBu4DrgJCZFnurSjKm94wTtAutPY7nghcB5i5yBZedxW8FlEUpRT4ibftEHQciqK8CrzqbTsEHYeiKOuB9ZdyrM93aVvhOJDY6HuCK03QfRDPuPvT7s+4u7bwNgMZsiynot2gG4EF3jVJ0M6IZ9z9afdn3B3cUt4FJqL55BQBTyiKslSW5enAy2jT2csURXnGa0YKLgvxjLs/nfWMfV7wBAKBwFO66xieQCAQNEMInkAg6DEIwRMIBD0GIXgCgaDHIARPIBD0GITgCQSCHoMQPIFA0GMQgicQCHoM3XVpWY9GluUU4Mh5yRVAliv9E0VRZrZD/c3qOe/cKnAaeB9YrCiK81LPebF2nFfOH/gFkK8oyvKLOfYSbLIAh4H/UxTll660u4Gn0FYQBAJPKYrytof1RaBFCVmiKMrL7WVnT0W08Lo3W4GbXK+FaOJzE/B8J537VuAQWsim6zvhnK3hDzwB/KhRWkfdi5uBWOBPjdIGAU8qijLEdc4XPa3MFeHnX8BiWZal9jS0JyJaeN2b08AXrs82IAp4Fy1S7NeNWjkb0VqAVwAfo/1oI4HVQIbr+K3ATxRF2e3huU8oivI3WZZVIBtIA5BleSHwS7TIF9uBRYqi5MqyHO2ybTTgBPYCMxVFOS3L8p1oLbQ4YDfwoKIo3zQ+mStG2jrgdUVRFsmy/BpwLzAJLZouwASXPU+50tz3wlVHs/Ogta5avEeKorS0LnMBsFdRlLxGaYPRRAtXXVbPbqGbj9CeyRiXHYJLRLTwujdT0UTvNPDvNsqNBr4C9qO1QMahic5KtM1SngOGoC3i9hSjLMsxaAvCATa7RGkpkA/8BogAPnJ1A28GJgMvAD8DtgF6WZYnA390XcODQBKwytXV85RHXO97Xde34vwCrZ3HZSO0fI/Or0OPJkqbz8saBOx3tdAWoW0kdTE01HflRR4nOA8heN2bTcAU1+tnbZVzRX9uaIWkoEWTnYbWNXsaCEL74XrKVOAU8GPgZUVR1qLtJtaQ91ugD1prqj9w0JWXA6QD7yuKcgqY7kp/QlGUt9AEMwxNWDylYeeyYkVR3lMUZVcLZS50npbu0flEonWfTzQkyLKciHbvPgWK0YRyeaP8JbIs/0GW5X+2YX9DfS2dU3ARiC5t96ZEUZSGLm3DQH1LNOwlYHe964H7gbHAS8B/gGVoP1xP2eQ69jngXlmWlzfK+xmww/VZBxxxdWvHoInzNOCXsixPaXSMet77+Thc7w1/06EtHOsJrZ2npXvUGo3H2gYBXymKMtm1k9outC7+/2RZHo3WWvwHYJdlOR74G1rLcoyiKPNbqE9wGYgWnuBChAHj0cbcLoYSRVHeR+sSG4Ffo42XgfYjT0LrJr6qKEq5LMvz0LbpO4Y2fgZa669hz4KnXLOddwDlwLfnna/A9T5RluUFwKxGeZVoXfTesizfLMtycgv2enqeNq8ZqHXZ3cBgtPFPFEUpB/7OuZbufuBL4Hu0LvwQ4O+KorzEOWGlUX0FCC4LIXiC1vh/aGNH89E2U2mpG3hBFEVZBWxBE6Ay4HY014zXgbuA/7mK1qDN5L4J/ADNlWWFqyt8FxCNNrtZCMx2zV42Ps9R4Pdo4nBfo3pRFMXmygtFa0E1Gwtr7TxA6fll27hWB9qkwohGyYNwCZ6LjzjXfc5Cm7jJ4pzgfe3Ka9zCbKjvK09tEbSMCAAqELQjrlnopUDGeTO1LZVdDHwD3APciTZeeicQDjysKMrPXeX+hjb2l9rKzLDAQ4TgCQTtiCzLZjTXE7fj8WXWF47W2nxEOB5fPkLwBAJBj0GM4QkEgh6DEDyBQNBjEIInEAh6DELwBAJBj0EInkAg6DEIwRMIBD0GIXgCgaDH8P8BREE+Y6I4LIUAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "nRint=res2.shape[0]\n", "color_idx = np.linspace(0.2, 0.9, nRint)\n", "fig,ax=plt.subplots(1,1, sharex=True, figsize= (4.5,3))\n", "for iRint in range(nRint):\n", " ax.plot(res2[iRint,:,1], res2[iRint,:,2]*1.e6, label='$R_{sp}$='+str(int(res2[iRint,0,0]/1.e3))+'k',\n", " color=plt.cm.inferno(color_idx[iRint]), linestyle='--')\n", "ax.plot(rescorrk[:,1], rescorrk[:,2]*1.e6, marker='.', color='k', label='$k$-coeff')\n", "ax.set_xscale('log')\n", "ax.set_yscale('log')\n", "ax.set_ylabel('RMS Error (ppm)', fontdict=font)\n", "ax.set_xlabel('Final Resolution ($R_{fin}$)', fontdict=font)\n", "ax.legend(fontsize='x-small', loc=\"upper left\", ncol=2, frameon=False)\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "id": "247fe422", "metadata": { "papermill": { "duration": 0.022512, "end_time": "2022-09-02T07:50:23.856638", "exception": false, "start_time": "2022-09-02T07:50:23.834126", "status": "completed" }, "tags": [] }, "source": [ "## Create spectra on a different wavelength region" ] }, { "cell_type": "code", "execution_count": 20, "id": "bb506b40", "metadata": { "execution": { "iopub.execute_input": "2022-09-02T07:50:23.902465Z", "iopub.status.busy": "2022-09-02T07:50:23.901992Z", "iopub.status.idle": "2022-09-02T07:50:29.782345Z", "shell.execute_reply": "2022-09-02T07:50:29.781101Z" }, "papermill": { "duration": 5.906007, "end_time": "2022-09-02T07:50:29.784994", "exception": false, "start_time": "2022-09-02T07:50:23.878987", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[['sigma_01_900.K_0.000001bar.dat' 'sigma_01_1215.K_0.000001bar.dat']\n", " ['sigma_01_900.K_0.000010bar.dat' 'sigma_01_1215.K_0.000010bar.dat']\n", " ['sigma_01_900.K_0.000100bar.dat' 'sigma_01_1215.K_0.000100bar.dat']\n", " ['sigma_01_900.K_0.001000bar.dat' 'sigma_01_1215.K_0.001000bar.dat']\n", " ['sigma_01_900.K_0.010000bar.dat' 'sigma_01_1215.K_0.010000bar.dat']\n", " ['sigma_01_900.K_0.100000bar.dat' 'sigma_01_1215.K_0.100000bar.dat']\n", " ['sigma_01_900.K_1.000000bar.dat' 'sigma_01_1215.K_1.000000bar.dat']\n", " ['sigma_01_900.K_10.000000bar.dat' 'sigma_01_1215.K_10.000000bar.dat']\n", " ['sigma_01_900.K_100.000000bar.dat' 'sigma_01_1215.K_100.000000bar.dat']]\n" ] }, { "data": { "text/plain": [ "\n", " file : ../data/hires/PetitRADTRANS/H2O/\n", " molecule : H2O\n", " p grid : [1.e-01 1.e+00 1.e+01 1.e+02 1.e+03 1.e+04 1.e+05 1.e+06 1.e+07]\n", " p unit : Pa\n", " t grid (K) : [ 900 1215]\n", " wn grid : [ 1000.50025008 1001.50125075 1002.50325292 ... 19955.40681676\n", " 19975.37220461 19992.67994494]\n", " wn unit : cm^-1\n", " kdata unit : m^2/molecule\n", " weights : [0.008807 0.02030071 0.03133602 0.04163837 0.05096506 0.05909727\n", " 0.06584432 0.07104805 0.07458649 0.07637669 0.07637669 0.07458649\n", " 0.07104805 0.06584432 0.05909727 0.05096506 0.04163837 0.03133602\n", " 0.02030071 0.008807 ]\n", " data oredered following p, t, wn, g\n", " shape : [ 9 2 2996 20]\n", " " ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "path_to_hires_spectra=datapath + 'hires/PetitRADTRANS/H2O/'\n", "\n", "press_grid_str=['0.000001','0.000010','0.000100','0.001000','0.010000','0.100000','1.000000','10.000000','100.000000']\n", "logp_grid=[np.log10(float(p)) for p in press_grid_str]\n", "t_grid=[900, 1215]\n", "\n", "wn0=1000.\n", "wn1=20000.\n", "\n", "Ri=1000.\n", "wn_interm_grid=xk.wavenumber_grid_R(wn0, wn1, Ri)\n", "\n", "file_grid=xk.create_fname_grid('sigma_01_{temp}.K_{press}bar.dat', logpgrid=press_grid_str, tgrid=t_grid,\n", " p_kw='press', t_kw='temp')\n", "print(file_grid)\n", "\n", "h2o_ktab=xk.hires_to_ktable(path=path_to_hires_spectra, wnedges=wn_interm_grid, filename_grid=file_grid, logpgrid=logp_grid, tgrid=t_grid,\n", " mol='H2O', grid_p_unit='bar', binary=True, mass_amu=18.)\n", "\n", "h2o_ktab" ] }, { "cell_type": "code", "execution_count": 21, "id": "ee6f8950", "metadata": { "execution": { "iopub.execute_input": "2022-09-02T07:50:29.832385Z", "iopub.status.busy": "2022-09-02T07:50:29.831479Z", "iopub.status.idle": "2022-09-02T07:50:30.271228Z", "shell.execute_reply": "2022-09-02T07:50:30.269968Z" }, "papermill": { "duration": 0.466957, "end_time": "2022-09-02T07:50:30.273997", "exception": false, "start_time": "2022-09-02T07:50:29.807040", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig,ax=plt.subplots(1,1,sharey=False, figsize=(9,4)) \n", "h2o_ktab.plot_spectrum(ax, p=1., t=1000., g=1., yscale='log', label='HR')\n", "ax.legend(loc='upper left')\n", "fig.tight_layout()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 22, "id": "0557e69d", "metadata": { "execution": { "iopub.execute_input": "2022-09-02T07:50:30.322744Z", "iopub.status.busy": "2022-09-02T07:50:30.322354Z", "iopub.status.idle": "2022-09-02T07:50:31.955396Z", "shell.execute_reply": "2022-09-02T07:50:31.954253Z" }, "papermill": { "duration": 1.660305, "end_time": "2022-09-02T07:50:31.958375", "exception": false, "start_time": "2022-09-02T07:50:30.298070", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "computation time= 1.6241192817687988 s\n" ] } ], "source": [ "start=time.time()\n", "\n", "database=xk.Kdatabase(None)\n", "database.add_ktables(h2o_ktab)\n", "\n", "T0=1000.; xH2O=1.e-3; Rp=1*u.Rjup; Rs=1.*u.Rsun; grav=10.; nlay=100;\n", "\n", "atm=xk.Atm(psurf=10.e5, ptop=1.e-4, Tsurf=T0, grav=grav, rcp=0.28,\n", " composition={'H2':'background','H2O':xH2O}, Nlay=nlay, Rp=Rp,\n", " k_database=database)\n", "spec_ref=atm.transmission_spectrum(Rstar=Rs, rayleigh=True)\n", "\n", "print('computation time=',time.time()-start,'s')\n" ] }, { "cell_type": "code", "execution_count": 23, "id": "0868dbdc", "metadata": { "execution": { "iopub.execute_input": "2022-09-02T07:50:32.082213Z", "iopub.status.busy": "2022-09-02T07:50:32.081539Z", "iopub.status.idle": "2022-09-02T07:50:32.543694Z", "shell.execute_reply": "2022-09-02T07:50:32.542647Z" }, "papermill": { "duration": 0.529775, "end_time": "2022-09-02T07:50:32.547071", "exception": false, "start_time": "2022-09-02T07:50:32.017296", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "wn0=5000.\n", "wn1=20000.\n", "\n", "Rlow=25.\n", "wn_lowres=xk.wavenumber_grid_R(wn0, wn1, Rlow)\n", "\n", "fig,ax=plt.subplots(1,1,sharex=True,figsize=(7,3)) \n", "spec_ref.plot_spectrum(ax, color='gray', xscale='log')\n", "#spec_ref.bin_down_cp(wnedges=wn_lowres).plot_spectrum(ax, marker='.', color='gray')\n", "ax.set_ylabel('Transit depth', fontdict=font)\n", "fig.tight_layout()\n", "# plt.savefig('Spectrum.pdf')" ] } ], "metadata": { "celltoolbar": "Initialization Cell", "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.9.13" }, "papermill": { "default_parameters": {}, "duration": 92.612929, "end_time": "2022-09-02T07:50:33.391252", "environment_variables": {}, "exception": null, "input_path": "examples-exo_k.ipynb", "output_path": "../ci_notebooks/examples-exo_k.ipynb", "parameters": {}, "start_time": "2022-09-02T07:49:00.778323", "version": "2.3.4" }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": { "height": "calc(100% - 180px)", "left": "10px", "top": "150px", "width": "256px" }, "toc_section_display": true, "toc_window_display": false } }, "nbformat": 4, "nbformat_minor": 5 }