{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Generating Scaling Relations with XGA" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This tutorial will explain how to generate XGA scaling relations objects, and go through some of their key useful features. Generating scaling relations that map difficult-to-measure parameters onto values that are easier to determine is very common in cluster science, with mass-temperature, luminosity-temperature, and luminosity-richness relations being just a few that spring to mind.\n", "\n", "As such I created this class of product, ScalingRelation, as well as several independent fitting method to generate them from arbitrary data. This part of XGA can almost be viewed as a submodule within the main module, as you do not have to use the source and sample structure to generate relations, the data can be supplied from an external source, and the fitting process will work exactly the same." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import pandas as pd\n", "from astropy.units import Quantity, pix\n", "from astropy.cosmology import Planck15\n", "import numpy as np\n", "\n", "from xga.samples.extended import ClusterSample\n", "from xga.sas import evselect_spectrum, emosaic\n", "from xga.xspec import single_temp_apec\n", "from xga.models.misc import power_law\n", "from xga.relations.fit import scaling_relation_lira, scaling_relation_odr\n", "from xga.relations.clusters import LT, Lλ, MT\n", "from xga.products.relation import ScalingRelation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Relation quality disclaimer" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "All of the relations we generate here are for demonstration purposes only, they **should not** be used for any real scientific purposes." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Defining our sample" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "I am again using clusters from the XCS-SDSS sample, they will be used to demonstrate the fitting and visualisation of scaling relations from an XGA ClusterSample object. I have read in their information from a file as I did not want to include a large table of irrelevant information in one of the cells of this tutorial. This time I will be using fourty randomly chosen clusters rather than four, as we could not reasonably hope to get a good fit with such a small sample." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Declaring BaseSource Sample: 100%|██████████| 40/40 [00:35<00:00, 1.13it/s]\n", "Generating products of type(s) image: 100%|██████████| 3/3 [00:03<00:00, 1.19s/it]\n", "Generating products of type(s) ccf: 100%|██████████| 95/95 [02:43<00:00, 1.72s/it] \n", "Generating products of type(s) expmap: 100%|██████████| 3/3 [00:38<00:00, 12.93s/it]\n", "Generating products of type(s) image: 100%|██████████| 40/40 [01:03<00:00, 1.59s/it]\n", "Generating products of type(s) expmap: 100%|██████████| 40/40 [00:40<00:00, 1.01s/it]\n", "Setting up Galaxy Clusters: 0%| | 0/40 [00:00:12: RuntimeWarning: invalid value encountered in power\n" ] } ], "source": [ "# Making an Lx-Tx relation\n", "lx_tx_relation = srcs.Lx_Tx('r500')\n", "\n", "# Making an Lx-richness relation\n", "lx_λ_relation = srcs.Lx_richness('r500')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Viewing scaling relations" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Just as with other XGA products, there is a ``view()`` method built into the class, to easily create high quality visualisations of the relation. As we generated these relations ourselves, they also have data point associated with them. That is not the case if the scaling relation comes from literature, whether it is one of the ones built into XGA, or one you have defined yourself.\n", "\n", "There are several options that change what the output looks like, but one of the main options is the ability to change the figure size, which can be set using the ``figsize`` keyword argument:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "lx_tx_relation.view()\n", "\n", "lx_λ_relation.view(figsize=(6, 6))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Different fitting methods " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "I have implemented three different ways to fit these scaling relations, primarily to give the user some choice, though I would **highly recommend** that you use the implementation of the LIRA fitting package for R ([Sereno (2015)](https://academic.oup.com/mnras/article/455/2/2149/1111686)) - LIRA is an extremely capable fitting package, and produces excellent results. The downside is that it requires the installation of some optional external dependencies.\n", "\n", "The other methods available are scipy's simple non-linear least squares implementation (curve_fit), and scipy's orthogonal distance regression (ODR) implementation. ODR is the default method for ClusterSample scaling relation methods, as it does not require external dependencies, and seems to work quite well.\n", "\n", "I'm going to use a ClusterSample Lx_Tx relation as an example, and show how you can change the fitting method when you call the function - all this does is call the different fitting functions in xga.relations.fit:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/dt237/code/PycharmProjects/XGA/xga/samples/base.py:242: UserWarning: There are no XSPEC fits associated with XCSSDSS-455\n", " warn(str(err))\n", "/home/dt237/code/PycharmProjects/XGA/xga/samples/extended.py:425: UserWarning: One of the temperature uncertainty values for XCSSDSS-10401 is more than three times larger than the other, this means the fit quality is suspect.\n", " warn(\"One of the temperature uncertainty values for {s} is more than three times larger than \"\n", "/home/dt237/code/PycharmProjects/XGA/xga/samples/extended.py:436: UserWarning: There are no XSPEC fits associated with XCSSDSS-455\n", " warn(str(err))\n", "/home/dt237/code/PycharmProjects/XGA/xga/relations/fit.py:71: UserWarning: 2 sources have NaN values and have been excluded\n", " warn(\"{} sources have NaN values and have been excluded\".format(thrown_away))\n", "R[write to console]: module mix loaded\n", "\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " |**************************************************| 100%\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stderr", "output_type": "stream", "text": [ "/home/dt237/code/PycharmProjects/XGA/xga/samples/base.py:242: UserWarning: There are no XSPEC fits associated with XCSSDSS-455\n", " warn(str(err))\n", "/home/dt237/code/PycharmProjects/XGA/xga/samples/extended.py:425: UserWarning: One of the temperature uncertainty values for XCSSDSS-10401 is more than three times larger than the other, this means the fit quality is suspect.\n", " warn(\"One of the temperature uncertainty values for {s} is more than three times larger than \"\n", "/home/dt237/code/PycharmProjects/XGA/xga/samples/extended.py:436: UserWarning: There are no XSPEC fits associated with XCSSDSS-455\n", " warn(str(err))\n", "/home/dt237/code/PycharmProjects/XGA/xga/relations/fit.py:71: UserWarning: 2 sources have NaN values and have been excluded\n", " warn(\"{} sources have NaN values and have been excluded\".format(thrown_away))\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# By setting the fit method to LIRA, we choose to use that instead of the default ODR\n", "lx_tx_relation_lira = srcs.Lx_Tx('r500', fit_method='lira')\n", "# And quickly viewing the relation\n", "lx_tx_relation_lira.view()\n", "\n", "# We repeat this process but with scipy's curve_fit\n", "lx_tx_relation_curvefit = srcs.Lx_Tx('r500', fit_method='curve_fit')\n", "lx_tx_relation_curvefit.view()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "ScalingRelation objects created using the LIRA fitting method actually have some extra functionality compared to other ScalingRelations. As LIRA is based around the Just Another Gibbs Sampler (JAGS) package, it is an MCMC fitting process, and as such returns parameter chains which it can be useful to visualise.\n", "\n", "The output chains are stored in the ScalingRelation on its declaration, and two methods were implemented to generated chain and corner plots:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Here we visualise the parameter chains\n", "lx_tx_relation_lira.view_chains()\n", "\n", "# And this shows us a useful corner plot of the parameter space\n", "lx_tx_relation_lira.view_corner()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## ScalingRelation product properties and making predictions" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "These product objects are quite simple compared to some of the other products in XGA, but still contain a lot of useful information. The information can be broadly split into two groups; administrative information concerning when the relation was generated, who by etc. (especially useful for relations from literature), and that information concerning the actual properties of the relation, units, the normalisations applied etc.\n", "\n", "I will demonstrate a few of the properties using a classic relation from literature that has been built into XGA, the ([Arnaud et al. (2005)](https://ui.adsabs.harvard.edu/abs/2005A%26A...441..893A/abstract)) mass-temperature relation. As well as visualising the relation, we can also easily access the fit parameters that were used to define it, using the 'pars' method; the first column contains the values of all fit parameters, and the second column contains the uncertainty." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2005\n", "Arnaud et al.\n", "10.1051/0004-6361:20052856 \n", "\n", "[[1.71 0.09]\n", " [3.84 0.14]]\n", "keV solMass\n", "5.0 keV 100000000000000.0 solMass\n" ] } ], "source": [ "# Demonstrating the basic adminstrative properties\n", "print(MT.arnaud_m500.year)\n", "print(MT.arnaud_m500.author)\n", "print(MT.arnaud_m500.doi, '\\n')\n", "\n", "# Viewing the fit parameters that were used to define this scaling relation\n", "print(MT.arnaud_m500.pars)\n", "# We can also easily view the x and y units\n", "print(MT.arnaud_m500.x_unit, MT.arnaud_m500.y_unit)\n", "# And the normalisations\n", "print(MT.arnaud_m500.x_norm, MT.arnaud_m500.y_norm)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Once we have a scaling relation, we are also able to make predictions from it, using a built in method that takes an Astropy quantity (with the correct units for the x-axis) as an argument. \n", "\n", "The one thing you should remember is that you may need to account for E(z), depending on the relation you have fitted. For instance, the L$_{\\rm{x}}$ - T$_{\\rm{x}}$ relations produced by XGA automatically multiply by the E(z)$^{-1}$ of each cluster before fitting occurs. As such any values predicted from that relation have an E(z) dependance that must be accounted for to get a physical value:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$5.2448268 \\times 10^{14} \\; \\mathrm{M_{\\odot}}$" ], "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Defining an astropy quantity in units of keV, to demonstrate the predict functionality\n", "test_temp = Quantity(6, 'keV')\n", "\n", "# Getting a prediction of the cluster mass from that test temperature\n", "MT.arnaud_m500.predict(test_temp)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Viewing multiple scaling relations" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As I mentioned briefly in the 'XGA Products' tutorial, ScalingRelation objects have a useful little trick that allows you to easily view different scaling relations on the same axis. As long as two ScalingRelation instances have the same x and y units, you can simply add them together using the Python addition operator. Here I demonstrate this with the L$_{\\rm{x}}$ - T$_{\\rm{x}}$ relation we measured earlier, and an XCS-SDSS L$_{\\rm{x}}$ - T$_{\\rm{x}}$ relation imported from XGA:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/dt237/code/PycharmProjects/XGA/xga/products/relation.py:631: UserWarning: Not all of these ScalingRelations have the same x-axis names.\n", " warn('Not all of these ScalingRelations have the same x-axis names.')\n", "/home/dt237/code/PycharmProjects/XGA/xga/products/relation.py:638: UserWarning: Not all of these ScalingRelations have the same y-axis names.\n", " warn('Not all of these ScalingRelations have the same y-axis names.')\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Adding them together is extremely easy\n", "comb_lt_relation = lx_tx_relation + LT.xcs_sdss_r500_52\n", "\n", "# Then we just call .view() like we would normally\n", "comb_lt_relation.view()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Fitting scaling relations from external data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "I tried to think of an interesting dataset that I could generate a scaling relation from as an example, but came up empty, if you can think of an interesting data to use as an example send me an email!\n", "\n", "Instead of something interesting, I'm just going to extract some data from our ClusterSample object and show you how to generate a scaling relation manually, using functions imported from xga.relations.fit. We're going to measure a scaling relation that doesn't seem particularly useful, $\\lambda$ - T$_{\\rm{x}}$:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[ 2.13213 0.20519163 0.39433514]\n", " [ 2.80067 0.22927479 0.24261076]\n", " [10.6814 0.20506005 0.29234747]\n", " [ 4.69087 0.39670878 0.41071715]\n", " [ nan nan nan]\n", " [ 6.21681 0.10400441 0.1041854 ]\n", " [ 4.06662 0.33423215 0.36426303]\n", " [ 8.04773 0.37034005 0.37111371]\n", " [ 6.01913 0.31320463 0.31522211]\n", " [ 3.51722 0.35075593 0.61433286]\n", " [ 8.34206 0.18331185 0.18349742]\n", " [ 1.03624 0.04787366 0.04563837]\n", " [ 3.35933 0.07213937 0.0746874 ]\n", " [ 2.92438 0.33646087 0.48980278]\n", " [ 4.1308 0.08558627 0.08634711]\n", " [ 6.94468 0.71801967 0.98840567]\n", " [ 2.7248 0.14950907 0.19408899]\n", " [ 5.89392 0.23684146 0.23756279]\n", " [ 1.24694 0.34040456 0.18172081]\n", " [ 1.5099 0.14780256 0.14409164]\n", " [ 7.24241 0.18409504 0.18429442]\n", " [ 3.49575 0.12190259 0.10648139]\n", " [ 3.13697 0.15849034 0.15939 ]\n", " [ 2.89694 0.36272877 0.39730179]\n", " [ 2.0819 0.17245655 0.27626099]\n", " [ 3.93636 0.0656564 0.06614467]\n", " [ 3.53631 0.14068098 0.17172321]\n", " [ 3.17636 0.20665492 0.20668628]\n", " [ 2.63633 0.15206357 0.28660748]\n", " [ 1.7306 0.25395097 0.6337762 ]\n", " [ 3.29938 0.05445985 0.05463768]\n", " [ 3.46955 0.43179068 0.66132311]\n", " [ nan nan nan]\n", " [ 3.77152 0.27875766 0.28276014]\n", " [ 3.18045 0.26438784 0.28187044]\n", " [ 3.03856 0.15850275 0.15979955]\n", " [ 6.57972 0.07462442 0.0746386 ]\n", " [ 7.81554 0.1637604 0.16379933]\n", " [ 5.04425 0.16337122 0.16430272]\n", " [ 1.65025 0.10175277 0.14958277]] keV \n", "\n", "[[ 28.66831 3.2433918]\n", " [ 78.32325 3.12556 ]\n", " [199.53928 5.2998266]\n", " [128.19176 5.6970525]\n", " [ 24.793547 2.2973104]\n", " [120.09137 4.9689746]\n", " [ 30.468397 3.0966108]\n", " [137.75664 5.25023 ]\n", " [126.30015 5.016507 ]\n", " [ 50.421906 2.964098 ]\n", " [101.70913 4.746494 ]\n", " [ 23.14601 2.1740084]\n", " [ 24.244368 1.9738064]\n", " [ 42.87069 3.7267637]\n", " [ 59.63591 4.6716833]\n", " [124.6221 9.576292 ]\n", " [ 36.52462 3.0883944]\n", " [ 78.58259 4.482442 ]\n", " [ 23.679934 2.2644103]\n", " [ 43.11477 3.6073697]\n", " [189.18115 5.613359 ]\n", " [ 32.863426 2.2285726]\n", " [ 38.690826 5.167868 ]\n", " [ 26.395319 2.646696 ]\n", " [ 35.91442 3.2383535]\n", " [ 27.081793 2.5084076]\n", " [ 58.125664 2.954672 ]\n", " [ 34.480453 2.3746781]\n", " [ 20.04925 1.9597924]\n", " [ 39.270515 3.4333043]\n", " [ 75.729904 2.898407 ]\n", " [ 40.68923 3.2910614]\n", " [ 87.781334 4.778909 ]\n", " [ 57.317154 3.9977226]\n", " [ 49.918488 3.82978 ]\n", " [ 40.338364 4.0101438]\n", " [ 99.80225 3.735475 ]\n", " [166.20715 6.2375617]\n", " [ 51.352455 3.1802998]\n", " [ 21.559492 3.837598 ]]\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/home/dt237/code/PycharmProjects/XGA/xga/samples/extended.py:425: UserWarning: One of the temperature uncertainty values for XCSSDSS-10401 is more than three times larger than the other, this means the fit quality is suspect.\n", " warn(\"One of the temperature uncertainty values for {s} is more than three times larger than \"\n", "/home/dt237/code/PycharmProjects/XGA/xga/samples/extended.py:436: UserWarning: There are no XSPEC fits associated with XCSSDSS-455\n", " warn(str(err))\n" ] } ], "source": [ "# Grabbing the temperatures (and temperature errors) from the ClusterSample object\n", "temps = srcs.Tx('r500')\n", "# Printing them on screen \n", "print(temps, '\\n')\n", "\n", "# And getting the richness values out as well (they only have a gaussian error)\n", "richnesses = srcs.richness\n", "print(richnesses)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The scaling relation generation functions expect the data and uncertainties to be passed in separately, so here we're just going to split the data I just retrieved from my ClusterSample object. \n", "\n", "The scaling relation generating methods support data having either two uncertainties (in which case it will understand them as - and + errors), or just the one set of uncertainties. Part of the data preperation step inside of the scaling relation involves calculating an average uncertainty for a value if it is passed in with two uncertainties. This average uncertainty is what is used to fit the data." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "# The first column contains the actual temperature values\n", "x_data = temps[:, 0]\n", "# The second and third columns are the uncertainties\n", "x_errs = temps[:, 1:]\n", "\n", "# Again the first column contains the richness values\n", "y_data = richnesses[:, 0]\n", "# However this data only has one uncertainty (rather than - and + uncertainties)\n", "y_errs = richnesses[:, 1]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Please make sure you are supplying the x and y data in the correct order, this function needs you to pass the y-data **first**.\n", "\n", "Also, when you fit a scaling relation with LIRA, it automatically uses a power-law in logspace as the model to fit with. This is not true of the other fitting methods, and you will need to supply a model for the fit to use; I suggest importing power_law from xga.models.misc and using that. \n", "\n", "There are another couple of differences between the LIRA function and other fitting methods, ODR and Curve Fit both allow you to set start parameters (though you don't have to), and the LIRA fitting function allows you to tell it how many chains should be run, and with how many steps.\n", "\n", "When deciding on what to name your x and y axis, please remember not to put units in the name, XGA will add them itself. Also bear in mind that these names will be passed into matplotlib, so some LaTeX syntax will work:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/dt237/code/PycharmProjects/XGA/xga/relations/fit.py:71: UserWarning: 2 sources have NaN values and have been excluded\n", " warn(\"{} sources have NaN values and have been excluded\".format(thrown_away))\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " |**************************************************| 100%\n" ] } ], "source": [ "# The x values are temperatures, so selecting an arbitrary normalisation of 4keV\n", "x_norm = Quantity(4, 'keV')\n", "# The y values are richness, which has no unit, but still needs to be in an Astropy quantity\n", "y_norm = Quantity(60, '')\n", "\n", "# This uses a LIRA fit to generate the scaling relation\n", "richness_tx_lira = scaling_relation_lira(y_data, y_errs, x_data, x_errs, y_norm, x_norm, \n", " x_name=r'T$_{\\rm{x}}$', y_name=r'$\\lambda$')\n", "\n", "# This uses ODR to generate a scaling relation, note that I have passed in a model function\n", "richness_tx_odr = scaling_relation_odr(power_law, y_data, y_errs, x_data, x_errs, y_norm, x_norm, \n", " x_name=r'T$_{\\rm{x}}$', y_name=r'$\\lambda$')" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "(richness_tx_lira+richness_tx_odr).view()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can also set a range in which you wish a scaling relation to be valid, when you generate it using one of these fitting functions. For instance I generate the same scaling relation we just created, but decide that it is only valid in the temperature range 2-6keV:" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/dt237/code/PycharmProjects/XGA/xga/relations/fit.py:71: UserWarning: 2 sources have NaN values and have been excluded\n", " warn(\"{} sources have NaN values and have been excluded\".format(thrown_away))\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " |**************************************************| 100%\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "richness_tx_lira_lim = scaling_relation_lira(y_data, y_errs, x_data, x_errs, y_norm, x_norm, \n", " x_name=r'T$_{\\rm{x}}$', y_name=r'$\\lambda$', \n", " x_lims=Quantity([2, 6], 'keV'))\n", "richness_tx_lira_lim.view()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Defining scaling relations from literature" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here I will demonstrate how you can find a relation in literature, and then implement it in a form usable by XGA. This particular scaling relation is actually already implemented in XGA, and is the Arnaud mass-temperature relation that I used in the demonstrations earlier.\n", "\n", "It really is as simple as filling out as many of the ScalingRelation arguments as you need. You should note that 'power_law' in this case is defined in the XGA models package, and is a function used to generate the fit line that is plotted. ScalingRelation will take its x and y units from the normalisations that are passed in on initialisation (here 5keV for the x axis, and 1e+14M$_{\\odot}$ for the y-axis).\n", "\n", "Please don't include units in the values passed for ``x_name`` and ``y_name``, the ``view()`` method will add its own units, taken from the astropy normalisation quantities:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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rLY2NjbhcLoqLiwPaZ0aMQU5LS5vsKoiIyAh6enpITU1VOBaZpqbDFG/GGFJTU4P6pmpGBOTp8OSJiMxUCsci09d0yVjB/j8zIwKyiIiIiEigFJBFRGTG27RpE8YY9u7dOynHX716dVAzATz00ENUVVUFdYxvfetb3HXXXWNu88wzz7B8+XIWLVrE8uXLef755wfX7dq1i0WLFlFaWsrXvvY1Bi7y7+3t5ZprrqG0tJQzzzyTI0eODO4TGhrK0qVLWbp0KZdffnlQ9QUoKipi0aJFLFmyhHXr1lFTUxN0Gccr2OfmRLn99ttZuHAhCxcu5He/+93g8o8++ogzzzyT2bNnc80119DX1wfAE088wYIFC1i1ahWNjY0AHDp0iGuvvXbUY3R0dPDlL3+ZWbNmsWDBAs477zzeeuutCdV37969LF26lDPOOINDhw5xzjnnjLjdDTfcwOOPPz6hY5xKCsgiIjLjPfroo5x77rn89re/HXG9x+M5xTUa20QCciDS0tLYunUr77//Pg8//DCf/exnB9d95Stf4d577+XAgQMcOHCA7du3A/DAAw+QnJzMwYMH+cd//Eduv/32wX2io6N59913effdd3nqqacmVKcXXniB9957j/Lycr73ve8dXwPHYa3F6/We1GME4g9/+AN/+ctfePfdd3nrrbf44Q9/SFtbG+ALzv/4j//IgQMHSE5O5oEHHgDgRz/6EW+++Saf+9zneOSRRwC44447+O53vzvqcW688UZSUlI4cOAAe/bs4aGHHqKhoWFCdd68eTNXXHEF77zzDrNmzeL111+fUDlThQKyiIjMaB0dHbz22ms88MADRwXkF198kTVr1nD99dezaNEiXnzxRVavXs3VV19NWVkZn/70pwd7Ub/zne+wYsUKFi5cyMaNGweXD+19bGhooKioCIDu7m6uvfZaFi9ezDXXXEN3d/eIddu1axfnn38+y5cv56KLLqK6uprHH3+cnTt38ulPf5qlS5ces+99993HihUrWLJkCZ/85Cfp6uoK+FycccYZ5OTkALBgwQJ6enro7e2lurqatrY2zj77bIwxfO5zn2Pz5s0AbNmyhc9//vMAXH311Tz33HOcjClkzzvvPA4ePEhPTw9f+MIXWLRoEWeccQYvvPACAJdeeim7d+8ebMd3vvMdAP7lX/6F+++/H4Af/vCHrFixgsWLF/PNb34TgCNHjjBv3jxuueUWli1bhtPpHLcuR44cYdWqVSxbtoxly5YNhsFbbrll8IPAlVdeyRe/+EXA9yHijjvuCLitH374Ieeffz5hYWHExsayZMkStm/fjrWW559/nquvvhqAz3/+84PPQ0hICL29vXR1dREeHs4rr7xCdnY2s2fPHvEYhw4d4q233uLf/u3fCAnxxcGSkhLWr18PwI9//OPBHuy77777qHN10003sWDBAtatW0d3dzfbtm3j7rvv5v7772fNmjUAxMXFAb4PHbfeeivz589n/fr11NXVDdZhpNc3+N43t99+OytXrmTOnDm88sorgO+D6m233caiRYtYvHgx//Vf/zVmOcdD07yJiMiUsH379hP+FXpWVhYXX3zxmNts3ryZiy++mDlz5pCSksJf/vIXli1bBsDbb7/NBx98QHFxMS+++CLvvPMOe/bsIScnh4997GO89tprnHvuudx6663867/+KwCf/exnefrpp8e8o9nPf/5zYmJi2L17N7t37x483lD9/f189atfZcuWLaSnp/O73/2Ob3zjGzz44IP87Gc/46677qK8/JjpW7nqqqu46aabAF8P4gMPPMBXv/rVgM/ZgCeeeIIzzjiDyMhIKisrycvLG1yXl5dHZWUlAJWVleTn5wMQFhZGYmIijY2NpKWl0dPTQ3l5OWFhYXz961/nE5/4RND1GPD000+zaNEi/vu//xuA999/n71797Ju3Tr279/PeeedxyuvvEJRURFhYWG89tprALz66qt85jOfYceOHRw4cIC3334bay2XX345L7/8MgUFBezbt49f/OIX/M///E9AdcnIyOCZZ54hKiqKAwcOcN1117Fz587BOlx++eVUVlYOBrVXX311zKEOwy1ZsoRvf/vb/J//83/o6urihRdeYP78+TQ2NpKUlERYmC++DX0evvnNb3LRRReRk5PDr3/9az71qU+N+o0IwJ49e1i6dCmhoaHHrNu1axe/+MUveOutt7DWcuaZZ3L++eeTnJzMgQMHePTRR7nvvvv41Kc+xRNPPMFnPvMZbr75ZuLi4rjtttuOKmvTpk3s27eP999/n9raWubPn88Xv/jFMV/fAG63m7fffptt27bx7W9/m2effZZ7772Xjz76iHfeeYewsDCamprGLWeiFJBFRGRGe/TRR/mHf/gHAK699loeffTRwcC6cuXKo+ZNXbly5WBQXLp0KUeOHOHcc8/lhRde4M4776Srq4umpiYWLFgwZkB++eWX+drXvgbA4sWLWbx48THb7Nu3jw8++IALL7wQ8PWeBXJDhg8++IA77riDlpYWOjo6uOiiiwI8E3+zZ88ebr/9dnbs2AEwYo/wwKwAY61zOBzk5ORw+PBh1q5dy6JFi5g1a1ZQdVmzZg2hoaEsXryYf/u3f+MLX/jCYOAvKyujsLCQ/fv3s2rVKn76059SXFzM+vXreeaZZ+jq6uLIkSPMnTuX++67jx07dnDGGWcAvm8ODhw4QEFBAYWFhZx11lkB16m/v59bb72Vd999l9DQUPbv3w/AqlWruPvuu/nwww+ZP38+zc3NVFdX88Ybb/DTn/404PLXrVvHn//8Z8455xzS09M5++yzCQsLG/NcX3jhhYOvlYcffphLL72Uffv2cdddd5GcnMxPfvITYmJiAjr+q6++ypVXXklsbCzg+9A1EPyLi4tZunQpAMuXLz9qzPlIXn75Za677jpCQ0PJyclh7dq1wPiv76uuuuqYYzz77LPcfPPNgx8QUlJS+OCDDyb0PhmPArKIiEwJ4/X0ngyNjY08//zzfPDBBxhj8Hg8GGO48847AQYDwoDIyMjB30NDQ3G73fT09HDLLbewc+dO8vPz+da3vjU432pYWNjgmNbhc7CON+2UtZYFCxbwxhtvBNWmG264gc2bN7NkyRIeeughXnzxxaD2d7lcXHnllfzyl78cDLN5eXm4XK6jthkYipGXl4fT6SQvLw+3201rayspKSkAg9uUlJSwevXqwfGpA5xO5+AHiZtvvpmbb775mPq88MILR93PYLThGytWrGDnzp2UlJRw4YUX0tDQwH333cfy5csH9/unf/onvvzlLx+135EjR455nsfzn//5n2RmZvLee+/h9XqJiooCIDc3l+bmZrZv3855551HU1MTjz32GHFxccTHxx9VxqZNm/j2t78NwP3333/MtwHf+MY3+MY3vgHA9ddfz+zZs0lLS6OlpQW3201YWNhRz8OArq4uHn74Yf70pz+xbt06tmzZwiOPPMJvfvObwW8WwDeEZqD+A0MsBow1RGb4e2C04UFDjfRaH+/1PXCcgffZwD7Dy5ro+2Q8GoMsIiIz1uOPP87nPvc5KioqOHLkCE6nk+LiYl599dWAyxgIvmlpaXR0dBx1hX5RURG7du0aPNaA8847j9/85jeAr8d3YOzsUHPnzqW+vn7wD39/fz979uwBID4+nvb29hHr097eTnZ2Nv39/YPHCFRLSwvr16/n+9//Ph/72McGl2dnZxMfH8+bb76JtZZf/vKXXHHFFQBcfvnlPPzww4NtXLt2LcYYmpub6e3tBXzjr1977TXmz59/1PHy8/MHL+IbKRyPZOi5279/Pw6Hg7lz5xIREUF+fj6PPfYYZ511FqtWreKuu+5i1apVAFx00UU8+OCDdHR0AL6hIUPHwwajtbWV7OxsQkJC+NWvfnXURZxnn302d999N+edd94xdRjqyiuvHGz78HDs8XgGZ6IYGIazbt06jDGsWbNm8LX08MMPDz4PA+68807+/u//nvDwcLq7uzHGEBIScsxY9FmzZlFeXs43v/nNwUB84MABtmzZwnnnncfmzZvp6uqis7OTTZs2jdiGQJx33nn89re/xePxUF1dPThmfKzX92jWrVvHPffcMxiYm5qaJlROIBSQRURkxnr00Ue58sorj1r2yU9+cnAWgEAkJSVx0003sWjRIj7xiU+wYsWKwXW33XYbP//5zznnnHOOmh3gK1/5Ch0dHSxevJg777yTlStXHlNuREQEjz/+OLfffjtLlixh6dKlgxeD3XDDDdx8880jXqT33e9+lzPPPJMLL7yQsrKyEet8zz33cM899xyz/Gc/+xkHDx7ku9/97uD0bAMh8uc//zk33ngjpaWlzJo1i0suuQSAL33pSzQ2NlJaWsqPf/xjfvCDHwDw17/+lfLycpYsWcKaNWv4+te/fkxAnohbbrkFj8fDokWLuOaaa3jooYcGextXrVpFZmYmMTExrFq1CpfLNRjs1q1bx/XXX8/ZZ5/NokWLuPrqq0f9kDHc+vXrycvLIy8vj7/7u7/jlltu4eGHH+ass85i//79R/VAr1q1CrfbTWlpKcuWLaOpqSnocNnf38+qVauYP38+Gzdu5Ne//vXgsIL/+I//4Mc//jGlpaU0NjbypS99aXC/qqoqdu7cORia/+///b+cddZZPPzww1x//fXHHOf++++npqaG0tJSFi1axE033UROTg7Lli3jhhtuYOXKlZx55pnceOONg0NTgnXllVcye/ZsFi1axFe+8hXOP/98YOzX92huvPFGCgoKWLx4MUuWLOGRRx6ZUDmBMCfjStOppry83E7GHIYiIjK2v/71r8ybN2+yqyEiM8BI/98YY3ZZa4+52lU9yCIiIiIiQyggi4iIiIgMoYAsIiKTaiYM9RORyRXs/zMzYpq31tZWNm7cCMCGDRvGnJtSREROnaioKBobG0lNTR132jMRkYmw1tLY2Dg4Hd/WrVvZunXrwOrEkfbRRXoiIjJp+vv7cblcx8wRLCJyIkVFRZGXl0d4eDj9/f2EhITQ1NRERkbGiBfpzYgeZBERmZrCw8OPulOdiMjJYq1l586dPP/88yxYsGDwFukjUUAWERERkdNaR0cHW7Zs4eDBgyQkJIz7rZUCsoiIiIictvbu3ctTTz1Fb28veXl5pKenj3vNgwKyiIiIiJy2du/ejTGGuXPnEh0dHdA+CsgiIiIiclpxOp14PB7q6+uJjIxkzpw5hIQEPruxArKIiIiInBY8Hg8vvfQSr776KgkJCcyaNSuoYDxAAVlEREREpr3a2lqefPJJ6urqSElJGXOWivEoIIuIiIjItOZyufjFL35BaGgoJSUlJCUlHVd5CsgiIiIiMi253W6MMTQ3N5OZmUl6ejphYccfbxWQRURERGRasdby5ptv8sYbb7BgwQL6+vrIzs4+YeUrIIuIiIjItNHc3MzmzZtxOBwkJibS2dlJeHj4CT2GArKIiIiITHnWWnbt2sWOHTvwer0UFhaSkpIy7k0/JkIBWURERESmPGst7733HlFRURQWFhIREXFc5TU1NY26TgFZRERERKakgVCckpJCRUUFqampAd0qeiwejweXy0VjY+Oo2yggi4iIiMiU09HRwdatW9m/fz8ZGRnk5eURGhp6XGW2trbicDjo7++ntLR01O0UkEVERERkStmzZw9/+MMf6O3tJTc3l4yMjOMqr7+/H5fLRXNzM1FRUZSUlDB//vxRt1dAFhEREZEp45133uGpp54iNjaWuXPnEh0dPeGyrLU0NzfjcrnweDxkZ2eTmZk57u2nFZBFREREZNL19PTg9Xrp7OwkLy/vuMca9/X14XQ6aW1tJSYmhsLCwoDDtgKyiIiIiEyavr4+tm/fzqFDh5g9ezbW2uMaUmGtpbGxEZfLhbV2cIhGMGFbAVlEREREJoXL5eKJJ56gpaWFzMxMPB7PuMMfxtLb24vD4aC9vZ24uDgKCgqIiooKuhwFZBERERE5pbxeLy+//DIvv/wyERERzJkzh7i4uAmXZ62lvr6eqqoqAPLz80lLS5vwEA0FZBERERE5pTweD++//z7Jycnk5+cf1/Rt3d3dOBwOOjs7SUhIoKCg4LhvIqKALCIiIiInnbz2ti0AACAASURBVLWW3bt3k5GRwb59+ygoKDiu4RTWWmpqaqipqSEkJISioiKSk5NPyK2nFZBFRERE5KTq6upi69at7N27l+zsbLKzs48rHHd1dVFRUUF3dzfJycnk5eURHh5+wuqrgCwiIiIiJ83BgwfZvHkzXV1dx33TD6/XS3V1NbW1tYSHh1NSUkJSUtIJrK2PArKIiIiInBQDN/2Ijo5m7ty5xMTETLisjo4OKioq6O3tJTU1ldzcXMLCTk6UVUAWERERkRPKWovb7aanp4fMzMzjGlLh8Xioqqqivr6eiIgISktLSUhIOO46ejyeUdcpIIuIiIjICWGt5Y033uDDDz+ksLCQnp4ecnNzJ1xeW1sbDoeDvr4+0tPTycnJOa4ZLwaEhYWNOT+yArKIiIiIHLfW1lY2b97MkSNHSEpKorOzc8Jh1u1243K5aGpqIioq6rjnSQbfHfsqKyuZNWsWa9euHfOiPgVkERERETkue/bsYevWrbjdbgoKCkhNTZ3wdGvNzc04nU7cbjdZWVlkZWUd93RwdXV11NTUYK0lNTWVyMjIMfdRQBYRERGRCXO73ezYsYOwsDBmzZo1oVs7A/T39+N0OmlpaSE6OprS0tLjuqgPfBf2OZ1Ouru7KS0t5ZJLLiElJWXc/RSQRURERCRoLpeLpKQk9uzZQ35+PhERERPqNbbW0tTUhMvlwuv1kpOTQ2Zm5nHf8MMYQ3x8PBEREVxxxRXMmTMn4DIVkEVEREQkYB6Ph5deeolXX311MMyON2RhNL29vTidTtra2oiNjaWwsHDCPdDgmye5rq6O2NhYLrnkEpKSkvB4PEFPB6eALCIiIiIBaWxs5IknnqC6uprU1FTS0tImVI61loaGBiorKwHIy8sjPT39uHqN29racLlc9PT0sHDhQpKTkwEmNFeyArKIiIiIjGvv3r088cQTABQXFw8G0GD19PTgcDjo6OggPj6egoKCCfdAg292CpfLRUtLC0lJSVx11VXMnj17wuWBArKIiIiIjMNaS1dXF3FxceTl5RERETGhMmpra6muriYkJITCwkJSUlKOe6xxZGQkHR0drFmzhnPOOeeE3F1PAVlERERERrR//34+/PBD0tLSaG5upqSkZELldHV1UVFRQXd3N0lJSeTn5485D/F4Wltb6evr44ILLqCgoIALLriA6OjoCZc3nAKyiIiIiBylv7+fHTt2sHPnTqKjo7HWTqhn1uv1UlNTQ01NDWFhYcc1NAN8F/W5XC5aW1tJTU0lNzcXY8wJDceggCwiIiIiQ1RWVvLkk0/S1NRERkYGOTk5E7pRR2dnJxUVFfT09JCSkkJeXt6Ehz94vV5qa2upra0lNDSUCy64gLPOOuuEDKcYiQKyiIiIiAC+m348+uij9Pf3U1paSkJCQtBleDweqqurqaurIzw8nFmzZpGYmHhc9TLGUFdXR1lZGRdddNGE6hUMBWQRERGRGa6pqYn4+Hj27t1LXl4ekZGRE+qdbW9vp6Kigr6+PtLS0sjNzSU0NHRCdert7aWpqYmzzz6bsrIyzj///OMO2oFSQBYRERGZoay1vPnmmzz33HMUFBSQnJxMbGxs0OV4PB5cLheNjY1ERkYye/Zs4uPjJ1SngXHLdXV1hIaGkpeXR3h4+CkLx6CALCIiIjIjNTc3s2XLFioqKkhMTCQuLm5C5bS0tOB0Ounv7yczM5Ps7OwJjVm21tLa2kplZSW9vb0sWrSICy+8cMJB+3goIIuIiIjMMB9++CGbN2/G6/VOeD7i/v5+XC4Xzc3NREVFUVJSMqHe5wHWWiorK0lISODSSy+lqKhowmUdLwVkERERkRlkoKc2Ojqa/Pz8oO9iZ62lubkZl8uFx+MhOzubzMzMCfUaezweGhoaKCsrY/HixZxzzjmkpKRMeNzyiaKALCIiIjIDfPDBB1RWVhIbG0tzczOlpaVBl9HX14fD4aCtrY2YmBgKCwsnNAextZaWlhYqKyvp6+tj9erVJ31mimAoIIuIiIicxrq6uti2bRt79uwhNjaW2bNnB93ba62lsbERl8uFtZbc3FwyMjImdJvonp4enE4n7e3tZGRksH79egoKCoIu52RSQBYRERE5TR04cIAtW7bQ1dVFdnY2WVlZQYfa3t5eKioq6OjoIC4ujsLCwqCHZQyw1uJyuejr6+OSSy6hvLx8QkMzTjYFZBEREZHTUGdnJ4899hjh4eHMnTuXmJiYoPa31lJXV0dVVRXGGAoKCkhNTQ06YA8Mp8jIyGDx4sWcddZZxMbGHtcFfSebArKIiIjIaaSuro6EhAQ+/PBDSkpKiImJCbqXtru7m4qKCrq6ukhISKCgoICIiIig69Ld3Y3L5aK9vZ2ioiJycnKCLmMyKCCLiIiInAbcbjfPP/88b7zxxuCNOoKd29jr9VJbW0tNTQ2hoaEUFRWRnJwcdK/xwO2m6+vriYyMZP369SxbtiyoMiaTArKIiIjINFddXc2TTz5JQ0MDaWlpQQ+nAN+QjIqKCnp6ekhOTh68g91EVFVVUV9fz7Jly7jgggsmVJ/JpIAsIiIiMo29+eabPPPMM4SFhTFr1qygb8ns9Xqpqqqirq6O8PBwSkpKSEpKCroeXV1dhIeHM3/+fM4++2x6e3vJzc0NupypQAFZREREZJryeDy0traSmJhIfn4+YWHBRbv29nYcDge9vb2kpqaSm5sbdBlut3twOMW8efMoKysLav+pSAFZREREZBqx1vL222/T2dkJ+G7eUVxcHFQZHo+HyspKGhoaiIiIoLS0NOgbdVhraWpqoqqqiv7+fsrLy1m7dm1QZUxVCsgiIiIi00RLSwtbtmzhyJEjJCUlUVxcHPQFdK2trTgcDvr7+8nIyCA7O3tCt3ZuaGjA6XSSm5vL+vXryc7ODrqMqUoBWURERGSKs9by7rvvsn37djwez4TmJHa73bhcLpqamoiKiqKkpCTouYjdbjdut5uioiI+9rGP4XQ6Wbx48YTuqDeVKSCLiIiITHH19fVs3bqV2NjYCd3Jrrm5GafTidvtJisri6ysrKDmRh641XRVVRVJSUlcffXVGGNISUkJtinTggKyiIiIyBRVW1tLXFwcBw4cYPbs2cTGxgbVW9vf34/T6aSlpYWYmBhKS0uDnnKts7MTl8tFZ2cn+fn5XHrppaddj/FwCsgiIiIiU0xPTw9//OMf2b17N/PmzSM6Ojqom34MXEDncrnwer3k5OSQmZkZdLBta2vj4MGDxMbGcuWVV7Jo0aLTPhyDArKIiIjIlHLo0CG2bNlCR0cHWVlZREVFBbV/b28vDoeD9vb2wSEZwZRhraW3t5e0tDRWrFhBQUEBK1euDHpYx3SmgCwiIiIyRTzzzDO8/vrrREVFMWfOnKAuorPWUl9fT1VVFQD5+fmkpaUF1ePb1dWF0+nE4/Fw2WWXER0dTVZWVtDtmO4UkEVERESmgL6+Ptra2sjIyCAnJyeoi+h6enqoqKigs7OThIQE8vPzg+rx9Xg8g7eHjomJ4ZJLLgm65/p0ooAsIiIiMkk8Hg8vvvgiERERdHd3ExERQV5eXsD7W2upra2lurqakJAQCgsLSUlJCfpCvn379tHX10d5eTkXXHDBjA7HMM0CsjGmBPgGkGitvdq/bDXwXWAP8Ftr7YuTVkERERGRANXW1vLkk09SV1dHRkZGUMEYfMMhKioq6O7uJikpifz8fMLDwwPe3+v1EhoaSmlpKdHR0SxcuJD8/Pxgm3FamvSAbIx5ELgMqLPWLhyy/GLgJ0AocL+19gfW2sPAl4wxjw8pwgIdQBTgOnU1FxEREQme1+vl9ddf54UXXiA0NJSSkhKSkpKC2r+mpoaamhrCwsIoLi4mOTk54P2ttTQ0NFBbW8u1115LcXExixcvnkhTTluTHpCBh4CfAb8cWGCMCQX+G7gQX+j9szHmKWvthyPs/4q19iVjTCbwY+DTJ7/KIiIiIhNz6NAhnnvuOZKSkigoKCAsLPA41tHRgcPhoKenh5SUFPLy8oLav7u7G6fTSUdHB4WFhUEF85lk0gOytfZlY0zRsMUrgYP+HmOMMb8FrgCOCcjWWq//12ZgxNHo9fX1lJeXj3j8jRs3snHjxgnVXURERCQQA2OFo6KiqKysHJyhItCxwkMvoouIiGDWrFkkJiYGdfyBXufIyEguv/xyli5dOiPmNL733nu59957R1udNtLCSQ/Io8gFnEMeu4AzjTGpwL8DZxhj/sla+31jzFXARUASvp7oY6Snp7Nz586TXWcRERGRY7S1tbFlyxaOHDnCvHnziIyMDOqmH21tbTgcDvr6+khPTycnJ4fQ0NCg6hAREUFiYiKpqalcfPHFQU0fN92N1RlqjGkYaflUDcgjfZyx1tpG4OZhC58EnjwltRIREREJkLWW999/n23bttHf309ubi4REREB7+92u6msrKSxsZHIyEhmz55NfHx8UPtXVVUxd+5cVq1aRXh4eFBTx81kUzUgu4Chl1HmAVWTVBcRERGRoFhreeKJJ9izZw+xsbHMmjUrqKnTWlpacDqd9Pf3k5mZSXZ2dsDh1lpLS0sLLpcLt9tNfHz8jLoL3okwVQPyn4HZxphioBK4Frh+cqskIiIiEpju7m66u7vJyckhMzMz4LG+/f39OJ1OWlpaiI6OZtasWcTExAR83L6+PpxOJ62trWRlZXH55ZeTnZ090WbMWJMekI0xjwKrgTRjjAv4prX2AWPMrcCf8E3z9qC1ds8kVlNERERkTL29vezYsYOMjAyampqCmiHCWktzczNOpxOv10t2djaZmZlBD4no7u6ms7OTdevWceaZZ2pIxQRNekC21l43yvJtwLZTXB0RERGRoFVUVLBp0yZaW1vJzc0lMzMz4H37+vpwOBy0tbURExNDYWEh0dHRAe/f1dWF1+tl5cqVFBYW0tHRoenbjtOkB2QRERGR6crj8fD888/z+uuvExkZyZw5cwKeoWLghh2VlZUA5OXlkZ6eHvBwDK/XS3V1NXV1daSlpVFSUoIxRuH4BFBAFhEREZmg3bt38/rrr5OWlkZubm7A06/19PTgcDjo6OggPj6egoKCoC6ka2trw+l00tvby9KlS1m3bt2MmNP4VFFAFhEREQlSa2srAM3NzUFNv2atpa6ujqqqKowxFBQUkJqaGlS47ezs5ODBg6SkpHDttddSVFQ0kSbIGBSQRURERALU3d3Ntm3b2L9/P2VlZYSFhQUcjru7u6moqKCrq4vExETy8/MDnhfZWktPTw9paWmcddZZlJWVsXDhwqBuMy2BmxFntbW1dfAOKhs2bGDDhg2TXCMRERGZbj766CM2bdpER0cHWVlZAQ+n8Hq91NbWUlNTQ2hoKEVFRSQnJwfca9zb24vD4aCrq4uPf/zjpKSkkJ6efjxNmdG2bt3K1q1bBx6OeL9uY609dTWaJOXl5Va3mhYREZGJsNby7LPP8vrrrxMVFUVhYWHAt2ru7OykoqKCnp4ekpOTycvLIzw8PODjDgTrsLAwPv7xj1NeXq6xxieQMWaXtbZ8+PIZ0YMsIiIiMlFutxuHwxHUhXher5eqqirq6uoIDw+npKQkqNklvF4v+/fvp6uri7KyMi655BISEhKOpxkSBAVkERERkWHcbjcvvfQSOTk5uFyuoKZfa29vx+Fw0NvbS2pqKnl5eQEPx7DWYowhJyeH2NhY8vLyKCsrO56myAQoIIuIiIgMUVVVxaZNm2hoaCAnJ4esrKyAwrHH46GyspKGhgYiIiKCmt0CoKWlhcrKSi6++GKWLl16PE2Q46SALCIiIsLfeo1fe+01wsPDmTVrFomJI17DdYzW1lYcDgf9/f1kZGSQnZ0dcK9xf38/TqeTlpYW0tPTycjIOJ5myAmggCwiIiICvPnmm7z66qukpqaSm5sb0BRqbrcbl8tFU1MTUVFRlJSUBHwBH0BjYyMulwuAtWvXcs455wQcrOXkUUAWERGRGcvtdtPa2orH46Grq4vS0tKALoaz1tLS0oLT6cTtdpOVlUVWVhYhISEBHzs0NHRwurfLLruM1NTU42mKnEAKyCIiIjIjVVVVsXnzZjo6Opg7dy4hISEBheP+/n4cDgetra3ExMRQWlpKTExMQMf0eDxUV1eTnZ3N2rVriY6OxhijqdumGAVkERERmVG8Xi8vvfQSr7zyCuHh4eTn5wfU82utpampCZfLhdfrJTc3l4yMjIDC7UCPc2VlJX19fcyePTuooRhyaikgi4iIyIzR3d3NI488gsvlIiUlhby8vIDGGg/cza69vZ24uDgKCgqIiooK6Jg9PT04nU7a29vJyMhg/fr1FBQUHG9T5CSaEQFZt5oWERER8A2P6OnpoaioiJSUlHG3t9ZSX19PVVUVAPn5+aSlpQU1JCIsLIy+vj4uueQSysvLgxqnLCeebjXtp1tNi4iIzFz9/f288MIL5Ofn89FHH+HxeALar7u7G4fDQWdnJwkJCRQUFBARETHuftZampubCQkJ4YILLiA7O5uenh6io6OPtylygulW0yIiIjLjNDQ08Pvf/566ujoqKytJS0sbdx9rLbW1tVRXVxMSEkJhYSEpKSkB9Rp3d3fjdDrp6OigoKCA7OxsjDEKx9OMArKIiIiclnbv3s3TTz+NtTbgm350dXVRUVFBd3c3SUlJ5OfnEx4ePu5+Xq+XmpoaamtriYyM5LLLLuOMM87Q7BTTlAKyiIiInHZ27drF008/TVxcHEVFReMOjfB6vVRXV1NbW0tYWBglJSUkJSUFfLz+/n5qampYuHAhF198sWaomOYUkEVEROS0Ya3F7XbT19cX8DRsHR0dVFRU0NvbG/Rd9Nra2li0aBELFixg9erVAQ3hkKlPAVlERESmPWst7777Ln/+858pLi6mp6eHzMzMMffxeDxUVVVRX19PREREUHfRa25uprKyEo/Hw5VXXklkZCSRkZEnqjkyyRSQRUREZFrr7e1l27Zt7N69m/j4eDo6OsbtAW5ra8PhcNDX10d6ejo5OTmEhoaOe6yhcxrn5uayYcOGgEK1TC8KyCIiIjJt1dTU8Pvf/56mpiays7PJysoac0iF2+3G5XLR1NREZGQkc+bMIS4uLqBjeTwe9u/fT2hoKJdeeinLly/XnManKQVkERERmZastWzevJn29nZmz55NfHz8mNu3tLTgcDhwu91kZmaSnZ09bsC11tLR0UFqaioLFixg/vz55OTkBByqZXpSQBYREZFppbe3F2stLpeL9PR0MjIyxpyKrb+/H6fTSUtLC9HR0ZSWlhITEzPucbq6uqisrKS9vZ0zzjiDvLy8E9kMmcIUkEVERGTaqK6u5rHHHiMmJoasrKwxp2+z1tLU1ITL5cLr9QY0BAN8wzCqqqpoaGggKiqKSy+9lLlz557opsgUpoAsIiIiU561lrfffpsdO3YQFhZGRkbGmNv39fXhcDhoa2sjNjaWgoKCgO5mZ63l0KFDdHV1sWLFCtasWaO74M1ACsgiIiIypfX09LBlyxb27t1LYmIihYWFo85SYa2loaGByspKAPLy8khPTw9oLuSEhATKyspYsGABcXFx404TJ6evGRGQW1tb2bhxIwAbNmxgw4YNk1wjERERCVR7ezuHDx8e98YfPT09OBwOOjo6iI+Pp6CgYNy5ifv6+qiqqqKpqYmPf/zjzJo162Q0QaaQrVu3snXr1oGHI95/3FhrT12NJkl5ebnduXPnZFdDREREAmSt5YMPPiAzM5N3332Xrq6uUecpttZSV1dHVVUVISEh5ObmkpqaOmavsdfrpb6+npqaGgDOOecczj333HFvSS2nF2PMLmtt+fDlM6IHWURERKaPjo4ONm3axOHDh5k1axaJiYmjhuPu7m4qKiro6uoiMTGR/Pz8gEKu0+mksbGROXPmcNFFF5GSknKimyHTmAKyiIiITAnWWvbs2cO2bdvo7e2loKBg1LvUeb1eampqqKmpISwsjKKiIpKTk8fsNe7t7SUsLIySkhIWL15Mb28vc+bMOVnNkWlMAVlERESmhD/96U+89dZbxMbGMnfu3FFnj+js7KSiooKenh5SUlLIy8sb89bSXq+X2tpaamtrWbRoEYsXLz5ZTZDThAKyiIiITCqv10t3dzdut5ucnBwyMzNH7An2er1UVVVRV1dHeHj44PCL0VhraW1tpbKykt7eXubPn8+aNWtOZlPkNKGALCIiIpOio6ODbdu2ERISQkxMDNZasrKyRty2vb0dh8NBb28vaWlp5ObmjjoueUBtbS1VVVWkpaVxzTXXUFxcfDKaIachBWQRERE5pay17N69m+3bt9PX10d2dvao07F5PB4qKytpaGggMjKS2bNnEx8fP2rZHo8Hr9dLVlYWS5cuxeVysXLlynHDtMhQCsgiIiJyyrS1tbF161YOHjxIXFwcJSUlREVFjbhta2srDoeD/v5+MjIyyMnJISQkZMRtrbW0tLRQWVlJRkYGV111FQD5+fknrS1y+lJAFhERkVOmsbGRI0eOjHmHO7fbjdPppLm5maioKEpKSoiNjR21zJ6eHpxOJ+3t7WRmZnLhhReezCbIDKCALCIiIidVe3s7H3zwAWlpaezfv58FCxaMOOTBWktzczMulwuPx0NWVhZZWVmj9hqDr0f68OHDhIWFcemll7J8+fIxtxcJhAKyiIiInBTWWt5//33++Mc/0tfXx7x584iMjBwxHPf19eF0OmltbSUmJobCwsJRp3kbKDs8PJzly5cTHx/P6tWrR50zWSRYCsgiIiJywnV0dPD000+zb98+YmNjKSsrG/FCPGstjY2NVFZW4vV6yc3NJSMjY9Qbfng8Hqqrq+nu7uamm24iPj6esrKyk90cmWEUkEVEROSE8nq9PPjgg7S2to4ZeHt7e3E4HLS3txMXF0dBQcGoF+wNDL+oqqqir6+PZcuWBXRLaZGJUEAWERGRE6K7u5vIyEiOHDlCWloaWVlZIw6TsNZSX19PVVUV4JtpIi0tbdReY7fbzUcffUR7eztZWVmsX7+evLy8k9oWmdlmREBubW1l48aNAGzYsIENGzZMco1EREROL3/96195+umnyc/PJzY2dtS5iru7u3E4HHR2dpKQkEBBQcG4PcFpaWk0Nzdz7rnnUl5erovw5Lhs3bqVrVu3Djwc8VaMxlp76mo0ScrLy+3OnTsnuxoiIiKnne7ubv74xz/y/vvvj3lxnbWWmpoaampqCAkJIT8/n+Tk5FF7jTs6Oqiuruayyy5j9uzZAKNuKzJRxphd1try4ctnRA+yiIiInHiHDx/mySefpKuri6ysLLKzs0cMsV1dXVRUVNDd3U1SUhL5+fmEh4ePWKbb7aaqqoqGhgYSEhJISEhQMJZTTgFZREREJqShoQGv18vcuXOJiYk5Zr3X66W6upra2lrCw8MpKSkhKSlp1PJaWlpwOp243W7OPvtsVq9erQvxZFIoIIuIiEjADh8+jNPpJDo6mtraWsrKykbs4e3o6KCiooLe3l5SU1PJzc0lLGzs2NHd3U1KSgqXX345OTk5J6sJIuNSQBYREZFx9fX18cwzz7Bz506io6OZO3cuISEhx4Rjj8dDVVUV9fX1REREUFpaOuoNPKy1NDQ0kJ2dzVlnnUVUVBQREREj3khE5FRSQBYREZExVVRUsHnzZlpaWsjIyCAnJ2fEmSTa2tpwOBz09fWRnp5OTk7OqGG3q6sLh8NBV1cXhYWFJCcnn+xmiARMAVlERERG1dnZya9+9SvCwsKYPXv2iNO3ud1uXC4XTU1NREZGMmfOHOLi4kYsb2gPc2xsLFdddRULFy482c0QCYoCsoiIiByjqamJuLg49u3bR3FxMbGxsSP2Bjc3Nw9eWJeZmUl2dvaY8xQ3NjZSX1/PihUrWLt27ah3zhOZTArIIiIiMsjtdvPiiy/y+uuvD85OMdIY4v7+fpxOJy0tLURHR1NaWjriTBbgG05hjGHJkiWsXbuW1tZWXYQnU5oCsoiIiABQXV3Npk2bqK+vJzU1lcjIyGO2sdbS1NSEy+XC6/WSk5NDZmbmiDNZDJ3TuKCggLlz5wIQGxt70tsicjwUkEVERITXX3+d5557jtDQUGbNmkVi4rF34O3r68PhcNDW1kZsbCyFhYUjDpGw1tLY2EhVVRUej4eVK1eyZs2aU9EMkRNCAVlERGSGc7vdNDc3k5iYSH5+/jHzFQ9Mx1ZZWQlAXl4e6enpo97hrqWlBYfDQUFBAZdeeimZmZknvQ0iJ5ICsoiIyAzk9Xp54403cLvduN1uvF4vxcXFx2zX09ODw+Ggo6OD+Ph4CgoKRhx64fF46OnpobS0lLVr1+JwOEa9iYjIVKeALCIiMsM0NzezadMmnE4nKSkpFBUVHbONtZba2lqqq6sJCQmhsLCQlJSUEQNva2srTqeTsLAwrr76asLCwpg3b94paInIyaGALCIiMkNYa3nnnXfYvn07Xq93MPQON/QmHomJiRQUFBAeHn7Mdv39/VRWVtLU1ERaWhpXXHHFuLeTFpkO9CoWERGZIaqrq9m6dSvx8fEUFhYSERFx1Hqv10tNTQ01NTWEhYVRXFxMUlLSiL3GfX197N27F6/Xy/nnn8+qVat0i2g5bSggi4iInMastVRVVZGQkMDhw4eZPXs2cXFxx4Tezs5OKioq6OnpISUlhby8vBF7g71eL6GhoZSVlZGYmMjixYvJyMg4Vc0ROSVmREBubW1l48aNAGzYsIENGzZMco1EREROvtbWVp566ik++ugj5s2bR1RU1DG3ivZ4PFRXV1NXV0d4ePioU7wNTN1WXV3NddddR3FxMQsWLDhVTRE5YbZu3crWrVsHHh77YgeMtfbU1WiSlJeX2507d052NURERE4Jay27du1ix44dgzfzSPv/2bvz4LjPO7/z7x+OPoDG0bj7QAPEQfCSJcu0TkvUrbFkcSNHBwAAIABJREFUDC3Ziq+KM1uzViaprclW7aZmN3tkt7K7SVW2ajep9SbRWpNknMxkY+/MhKAoWZIl63QiU5YthzosimT/+sTVjcbVdz/7BwUGIEASNwng86pS1XTjhwfP88dIn3r8/X2/bW3Lbo1nZmYIh8MUCgXa2toIBAIrlknkcjkikQgzMzP09vZy/Phxmpubt+s4IlvGsqx3jTFHL/9+T9wgi4iI7BXGGP7sz/6MTz755Ipt2crlMtFolMnJSZxOJ4ODg8tulhcsdLKora1leHiYz3/+82rdJrueArKIiMguYIzBsixmZmYA6O7uXvHWOJPJYNs2xWKRjo4O/H4/VVVVK65ZU1NDY2MjDQ0NPPbYY1cM0SK7jQKyiIjIDjczM8PIyAhdXV1ks1kaGhqWhdlisUg0GiWdTuNyuejr66O+vn7ZWpVKhUQiQU9PD8eOHcPlcl0xQIvsVgrIIiIiO9hvfvMbTp06RaFQIJ/P09bWtuTnxhjS6TTRaJRyuYzP56Ozs3PF0JvJZIhGo+TzeQ4ePEhdXd12HUPkhqKALCIisgNls1mee+45zpw5Q319PQcOHMDlci15plAoEIlEyGQy1NXV0dPTg9vtXrbW4tvl1tZWvvnNb644XU9kr1BAFhER2YE+/PBDPvjgA3w+H11dXUtqjRdassViMSqVCoFAgI6Ojiu+XDc/P8/09DT3338/d911l6bhyZ6n/w8QERHZIYrFIvF4nJqaGkZHRy/1Nl4sn89j2zYzMzN4PB5CodCyZ+BiKC6Xy9x222309vYyMzOD1+vdrqOI3NAUkEVERHaASCTCX/7lX5LJZDh8+DA1NTVLgq8xhvHxceLxOHDlLhblcpl4PM74+DhtbW309/djWZbCscgiCsgiIiI3sEKhwE9/+lPeeecdHA4H+/btW1YCkc1msW2bubk5GhsbCYVCOByOJc8YY5iamiIWi1EoFDh69CgPPvigehqLrEABWURE5AZVKBT4J//knzA1NUV7ezt+v3/JpDtjDMlkkmQySVVVFb29vXi93hVD7/z8POfPn6ezs5Ph4WECgcB2HkVkR1FAFhERucGUy2Wqq6sZGxujoaGBjo4OPB7Pkmfm5+cJh8Nks1mam5vp7u6mtrZ2yTPGGHK5HO3t7dx9993cfPPNDA0Nqa+xyDUoIIuIiNxAPv74Y5577jkOHTpEsVikvb19yc8XBnmMjo5SW1tLX18fzc3Ny9ZZaPE2MzPD/fffT0tLCy0tLdt1DJEdTQFZRETkBpDNZnnhhRd4//33cbvdl3oXLzY7O0s4HCafz9Pa2kogEFhWj2yMYWJigng8jmVZPPzww7S2tm7nUUR2PAVkERGR6+yjjz5iZGSEbDZLV1cXXV1dS8ogyuUysViMiYkJHA4HAwMDNDY2LlvHGMNvf/tb5ubm2LdvH1/5yld0ayyyDgrIIiIi15ExhrNnzwIwNDS07NZ4enoa27YpFAorvqgHF8suqqqq8Pv91NfX09nZyeHDh9WhQmSdFJBFRES2mTGG9957D8uyyGazVCoVhoaGlgTaUqlENBollUrhcrnYv3//shf1jDGkUini8TiPPfYYt9xyy3YfRWRXUkAWERHZRhMTE5w8eZJwOIzX62Xfvn3LbnrT6TSRSIRSqbRiyQVc7GIRiUSYm5sjGAzi9/u38xgiu5oCsoiIyDYol8u8+eabvP7661RVVREKhZa9PFcsFolEIkxNTeF2uxkYGFhWcgEQjUYZGxujrq6O48ePc/PNN6ucQmQTKSCLiIhsg48++oif/exneL1egsHgkp7FC6US0WiUSqWC3++ns7NzSeg1xgDQ0NDA/v372bdvH/fdd9+ScdMisjkUkEVERLZIqVQiHo/jcrmIx+MMDQ1RX1+/5Jl8Pk8kEmF6epr6+np6enqWhd5cLodt29x0000cO3ZMgz5EttieCMiZTIann34agOHhYYaHh6/zjkREZLeLxWL85V/+Jel0mkOHDlFbW7skHC/0K47FYgB0d3fT1ta25Na4UqkwOjpKMpnE6XTi9/sVjkU2aGRkhJGRkYWPTSs9Yy38Tza72dGjR83p06ev9zZERGQPKJVKvPbaa7z11lvU1tbS3d1NU9PS/wbncjnC4TBzc3M0NDQQCoVwOp1Lnpmbm8O2bbLZLIcPH+Z3fud3lnWxEJGNsSzrXWPM0cu/3xM3yCIiItuhVCrxzDPPMD4+vuKkO2MMo6OjJBIJqqqq6OnpoaWlZcUX7DweDzU1NXzrW99i//7923kMkT1PAVlERGSDyuUy1dXVjI+P43K56O/vX3ZrPD8/TzgcJpvN0tzcTHd395IX9QCmpqYwxvDwww/j8/koFovLnhGRraeALCIisgFnz57l5MmTHDp0iHw+T3t7+5KfVyoVkskkyWSSmpoa9u3bh9frXfJMoVAgEomQyWQudbAAFI5FrhMFZBERkXWYn5/nJz/5Ce+//z4ul4tUKrWsQ8Xc3BzhcJhcLkdLSwvBYHBZycX4+DiJRALLsnjooYe444479CKeyHWmgCwiIrJGH330ESMjI2Sz2RUn3ZXLZRKJBGNjY9TW1q5YcgEXW7zFYjH6+vp4/PHHl90si8j1oYAsIiKyBsYYPvnkEwCGhoaWTbqbmZkhHA5TKBRoa2sjEAhQXV295PdnZmbo6enh5ptv5ktf+hJdXV2ahCdyA1FAFhERWYUzZ85QKpWYm5vDGMPQ0NCSUFsqlYjFYkxOTuJ0OhkcHKShoWHJGovbu91///00NDQse0ZErj8FZBERkauYnZ3l1KlTfPjhhzQ1NdHf37/stndqaopIJEKxWKSzsxOfz7ek5MIYw9jYGIlEAofDwRNPPIHP59vuo4jIKikgi4iIrMAYw29+8xuef/558vn8ku4SC4rFItFolHQ6jcvloq+vb9mLesYYPv30U6anpxkaGuLxxx/XrbHIDU4BWUREZAUXLlzgL/7iL6ivr+fAgQO43e5LPzPGkE6niUajlMtlfD4fnZ2dy26NAdra2ujo6MDj8XD48GHVGovsAArIIiIin1mYdFdXV0ckEqGvr4+mpqYlobZQKGDbNtPT09TV1dHT07MkPMPFFnC2bXPrrbdy5513KhSL7DAKyCIiIsDk5CQnTpwgFotx6NAhamtraW5uvvRzYwyTk5NEo1GMMQQCATo6OpaE34WhIAshu7u7W+FYZAdSQBYRkT2tUqnw85//nFdffRXLspYN84CL/YrD4TCzs7N4PB56enpwOp1Lnlk8Svrmm2/m0UcfXXazLCI7gwKyiIjsWeVymWeffZZEIkFzczPBYBCHw3Hp5wvdJ+LxOJZlEQqFaG1tXfFW2O12U1VVxbe+9S3279+/nccQkU2mgCwiIntOpVKhqqqKVCpFbW0t+/bto7m5eUnwzWazhMNh5ufnaWxsJBQKLQnPC8/kcjmOHTtGT08PhUJh2TMisvMoIIuIyJ4SiUQ4ceIEBw4cYH5+nra2tiU/r1QqjI6Okkwmqa6upre3F6/XuyQ8L7zMl0gk8Hg8+P1+AIVjkV1CAVlERPaEQqHAK6+8wn/4D/8Bh8PB6Ojosn7Ec3NzhMNhcrkcXq+XYDBIbW3tkmey2Sy2bTM3N8fBgwd5/PHHlz0jIjubArKIiOx658+f58SJE0xNTdHe3o7f76e6uvrSzyuVCvF4nLGxMWpra+nr61vSwWJBsVjk448/xul08vWvf53Dhw9v5zFEZJsoIIuIyK730UcfkcvlGBwcXHZrPDMzg23b5PN5WltbCQQCy7pYFItF3G43R44cYXBwcMWJeSKyeyggi4jIrnT27FlyuRzZbJZisciBAweWTLorl8vEYjEmJiZwOBwMDAzQ2Ni4ZA1jDMlkkmQyyVNPPcW+ffu2+xgich0oIIuIyK6SzWZ58cUX+dWvfkVDQwMDAwNYlrXkJbtMJoNt2xSLRTo6OvD5fEtKLhbWWehicejQIUKh0HYfRUSuEwVkERHZFYwxfPDBB5w6dYpsNktnZyc+n29JMC6VSkSjUVKpFC6X64qlEqOjo8TjcdxuN0899RSHDh3azqOIyHWmgCwiIruCbdv8+Mc/pq6ujqGhIerq6pb8PJ1OE4lEKJVKdHV10dXVtaTkYkFNTQ3BYJDm5mYee+yxZeuIyO6ngCwiIjvWQj/iuro6wuHwigM/isUikUiEqakp6urqGBgYWBZ6F2qNW1tbefDBB3G73StOyxORvWFVAdmyrNdXuV7OGPPIBvYjIiKyKhMTE4yMjBCLxTh06BC1tbV4vd5LPzfGkEqliEajVCoV/H4/nZ2dy4Lv4lpjv9+vG2MRWfUN8heBP7jGMxbwjza2HRERkasrl8u8/fbbvPbaa1iWRTAYXNaWLZ/PY9s2MzMzeDweQqEQLpdryTPGGMbGxkgkEjidTtUai8glqw3Ibxtj/uW1HrIs69sb3I+IiMgVlctlfvCDH5BMJmlubqa7u3vJFDtjDOPj48TjcQC6u7tpa2tbsVxibm6OWCzG0NAQw8PD6mssIpesKiAbYx5c5XM3ZHlFJpPh6aefBmB4eJjh4eHrvCMREVmLSqVCVVUVqVQKh8PBvn37lpRTAORyOcLhMHNzczQ2NtLd3Y3T6VzyjDGGbDaL3+/nvvvuI51O093drXpjkT1kZGSEkZGRhY9NKz1jGWO2b0fXydGjR83p06ev9zZERGQdbNvmxIkTHDx4kPn5+WU/X3hRL5FIUFVVRTAYpKWlZVnoLRQKlwL03/gbf4O2trbtOoKI3KAsy3rXGHP08u83pYuFZVkhoBH4wBhT2Yw1RURkbysUCrz88sv84he/wOl0Mjo6umxM9Pz8POFwmGw2u2LJBVwM0Ast3izL4stf/jKtra3beRQR2WE2FJAty6oFngXOAZPA/2JZ1n9tjDm7GZsTEZG96dy5c/y7f/fvmJ6epr29Hb/fv2TSXaVSIZFIMDo6Sk1NzYolF3AxHF+4cIF0Ok0wGOSJJ56gpaVlO48iIjvQRm+Q/xbwI2PMCIBlWf8v8M+AJza6MRER2bs+/vhjCoUC+/fvx+PxLPnZ7Ows4XCYfD5PS0vLil0sFtTX1zM4OEhjYyN33nnnioNBREQut9GA/EXg/7Ysyw2cMcb0WZal14BFRGTNPvzwQ4rFItlslmKxyIEDB5YE2nK5TDweZ3x8HIfDwcDAAI2NjcvWKZfLRKNRhoaGOHbs2BXDs4jIlWz03xq/AB4yxpwA+izL6gTmNr4tERHZK2ZnZ3n++ef54IMPaGxsZGBgAMuylrxkNz09jW3bFAqFFUsuLn+uWCzi8XgUjkVkXTb6b45/BDxjWdYXuViDfAz4rza8KxER2fWMMfzqV7/ixRdfJJ/P4/P56OrqWvJMqVQiFosxOTmJ0+lcseQCLt4ax2IxJiYmaGlp4YknniAYDG7XUURkl9lQQDbGFIH/zLKsINAA/GN1sRARkdU4f/48J06cwOPxsG/fPtxu95KfT01NEYlEKBaLdHZ24vP5rlhDPDs7y8TEBHfccQcPPPDAsk4WIiJrseqA/Fkrt6uZUzgWEZGrWbjp9Xg82LZNf38/jY2NS8opisUi0WiUdDqN2+2mv7+furq6ZWtVKhWy2SwDAwM8/PDDpNNpfD7fdh5HRHaptdwgXwAWpoqsNHLIAMsLwkRERLg48GNkZIRUKsWRI0eoqamhqek/DbFa3K+4UqlcKrlYacrd7Owstm1TqVT46le/isvlUjgWkU2zloD8PuAC/iXwr4D4luxIRER2lVwux8svv8y77757aUz05S/PFQoFbNtmenqa+vp6QqHQspILWNrJorGxkePHj+NyubbrKCKyR6w6IBtjbrEs6wjw14A3gY+APwH+3BiT3aL9iYjIDlYoFPj+97/P7OwsHR0d+Hy+Jd0njDFMTEwQi8UACAaDtLe3r3hrXCqV+Pjjj8nn89x22208+OCDOByObTuLiOwda3pJzxjzH4G/bVnWHwEPA78HfN+yrAeMMb/cgv2JiMgOlMvlcDqdRKPRS8M8Lq8jzuVy2LbN7OwsDQ0NhEIhnE7nsrWMMViWRW9vLx6Ph6GhIUKha70WIyKyfuvtYjHIxZZudwLvAelN25GIiOxYlUqFd955h1deeYUjR45gWRZtbW1LnjHGMDY2Rjwex7IsQqEQra2tK94aT01NEYvFOH78OAcPHtyuY4jIHreWLhYtwLe4WGLRAPwQuNcYY2/R3kREZAdJJBKcOHGCZDJJU1MThUJh2Y1wNpslHA4zPz9PU1MT3d3dK5ZJlEolIpEI6XSajo4OWlpatusYIiJrukGOA+e5GIz//WffDViWNbDwgDHmlU3cm4iI7BCvvvoqb7zxBjU1Nezbt4/m5uYlN8KVSoXR0VGSySTV1dX09vbi9XqveGsciUQol8vcd999fOlLX1pxap6IyFZZS0BOcrGLxfc+++dyBujbjE2JiMjOkc/nL02wCwQCyzpUzM3NEQ6HyeVyeL1euru7rzgC2rIsamtraWlp4atf/eqyyXoiItthLV0serdwHyIisoPMzs7ywgsv0NLSQqFQwOVy0dPTs+SZSqVCPB5nbGyM2tpa+vv7l/Q9XiydTlNfX8+xY8fwer0AujUWketmQ6OmRURkbzHG8N577/Hiiy9SKBQIBAJ0dHQse25mZgbbtsnn87S1tREIBFYMvItrjffv37/shT4RkethVQHZsqy/Z4z5H1bx3P9sjPm7G9+WiIjcaCYnJxkZGSEcDuPxeOjv7182pGNhlPTExAROp5PBwUEaGhpWXG+lWmMRkRvBam+Q/0vLsv6YlUdML/aHgAKyiMgu9OmnnxKLxa7Yli2TyWDbNsVikY6ODvx+P1VVVSuuNTMzw7lz5+js7OSJJ56gs7NzO44gIrIqqw3I9cBZrh2QcxvbjoiI3EgikQijo6M4HA7GxsY4dOjQshfsSqUS0WiUVCqFy+Wir6+P+vr6FdcrFAo0Nzdzxx13cOjQIW666SbVGovIDWdVAdkYs/IVgIiI7Eq5XI6f/vSnnD59GpfLxcGDB7Esa0k4NsZcKpMolUp0dXXR1dW14q3xQoiemZnhD/7gD2hpaaG9vX07jyQismp6SU9ERJb48MMPOXXqFLOzs3R0dODz+ZaVUxSLRWzbJpPJUFdXx8DAwLJR0gsW1xrfc889V+xkISJyo1BAFhGRSyYmJvjRj36E2+1maGhoWamEMYZUKkU0GqVSqVzqYrHSwA9jDOFwmFQqRUdHB1/96lfx+XzbdRQRkXVTQBYR2eMWgmxLSwsfffQR/f39NDQ0LAu9+Xwe27aZmZnB4/EQCoWWdbFYrL6+ns7OTm666Sbuuece1RqLyI6hgCwisoeNjY0xMjJCNBrl0KFDuFwuGhsblzxjjGF8fJx4PA5Ad3c3bW1tK94aF4tFotEot956K3fccQfV1dUrPiciciNbd0C2LMsF/D7wJcALpIC3gD82xmQ3Z3siIrIVSqUSr7/+Om+99RZVVVX09PTgdDqXPZfNZrFtm7m5ORobGwmFQjgcjmXPGWNIp9OXSi8aGhquOE5aRORGt5F/e/0J8DLwR0AGaAIe/ez7pza+NRER2QrGGJ599lmSySQtLS0EAgFqa2uXPTM6OkoikbgUoFtaWq54axyJRJiamiIQCHD8+HF1qBCRHW0jAbnLGPPMos8Z4P+xLOuvbnBPIiKyBfL5PA6Hg3g8jsfjYWBgYFk5BcD8/DzhcJhsNktzczPd3d3LAvRimUyG6elpHnroIe68884rDgcREdkpNhKQX7cs60+B51l6g/zmZmxMREQ2hzGGDz74gFOnTjEwMEBNTc2KwbhSqZBIJBgdHaWmpoZ9+/bh9XpXXLNSqVAoFOjv7+fhhx9mZmZGt8YismusOyAbY/57y7IOA/cAQSAN/ANjzH/crM2JiMjGTE1N8dxzz3H27Fnq6uooFAor1gbPzs4SDofJ5/O0trYSCASuWEOczWa5cOECVVVVPPHEE9TU1Fy1m4WIyE6zoTcojDFngDObtBcREdlEv/zlL3n++ecxxlyxX3G5XCYejzM+Po7D4bhi2QUs7Wbhcrk4fvy4XsQTkV1pM7pY3A20oC4WIiI3jFKpxMTEBPX19XR3d6/YeWJ6ehrbtikUCrS3t+P3+6/Yq7hcLnP+/Hmmp6cZGBjg+PHjeDyerT6GiMh1sdEuFj8F/hvUxUJE5LrL5/O88sorANTW1pLL5ejr61t2a1wqlYjFYkxOTuJ0Otm/f/81w25DQwNtbW3cfffdfPGLX1RvYxHZ1TbaxeKfLfqsLhYiIteBMYaPPvqIU6dOMTs7S0dHB8FgcMUQOzU1hW3blEolOjs78fl8V+w6USwWicVi3HHHHdx6661UVVUpGIvInrDZXSx+B3WxEBHZNtPT05w6dYqPP/4Yt9vN0NAQ9fX1y55b3KvY7XYzMDBAXV3dimsaY0ilUsRiMYwxeDwejYkWkT1lM7tYpIC/ry4WIiLbJ5lMcvbs2Su+hLcQdhcm3Pl8Prq6uq54E1woFIhEImQyGYLBIMePH6etrW07jiIicsPYyEt6rQtdLCzLehK4GbjFsqwPjDGVTduhiIgsMT4+zieffEJLSwuffvophw8fXrGbRKFQwLZtpqenqa+vJxQK4Xa7r7p2KpVibm6ORx99lNtuu01DP0RkT9pIicWPgAcsy/pfgA7gL7h4m/zHwO9tfGubJ5PJ8PTTTwMwPDzM8PDwdd6RiMjalctl3nzzTV5//XWqqqo4dOgQNTU1y8KxMYaJiQlisRgAwWCQ9vb2q94aG2M4cuQIDzzwALlcjtbW1i0/j4jI9TAyMsLIyMjCx6aVnrGMMeta3LKsV4wxD1iW9Zox5tii75d8vhEcPXrUnD59+npvQ0Rk3SKRCCdOnGBiYgKv10swGFxx/HMul8O2bWZnZ2loaCAUCuF0Oldcc3H5RUdHB9/73vf0Ep6I7CmWZb1rjDl6+fcbuUE+YlnWvwUGLctyL+p9vPztEBERWbdcLscPf/hDLMuiv7+fpqblFx7GGMbGxojH41RVVREKhWhtbb1i4C0Wi9i2TSaTIRQKcfz4cYVjEZHPbCQgf3HR/10GsCyrAfifNrIhERG5GHgvXLhAZ2cnH3zwAb29vdTV1a3YTSKbzRIOh5mfn6epqemKg0EWzM/Pc/bsWYwxPProo9x+++0KxyIii6w6IFuWFbrsq8W1GV2WZWGMsYGTm7IzEZE9Kp1Oc+rUKc6ePcvg4CANDQ00NDQse65SqZBMJkkmk9TU1NDb24vX671i2DXGXKpddjqd3HPPPao1FhFZwVpukC/wn0LxSv/2NYAaZYqIrFO5XObtt9/mtddeAy6+XHelCXdzc3OEw2FyuRxer5fu7u4VO1ksSKfTjI2N8Z3vfAefz8dNN920JWcQEdkN1hKQ3wdcwL8E/hUQ35IdiYjsUf/6X/9rzp8/T3NzM8FgcMUyiUqlQjweZ2xsjNra2ivWJC8olUpEo1FSqRR+v/+abd5ERGQNAdkYc4tlWUeAv8bFaXkfAX8C/PmiF/RERGQN5ubmcDqdJJNJnE7nVQPvzMwMtm2Tz+dpa2sjEAhcdcLd9PT0pbHS9913H/fcc4/6GouIrMKaXtL7bEre37Ys64+Ah7nY7/j7lmU9YIz55RbsT0RkVzLG8N577/HSSy8RDAZpbGy84ujncrlMLBZjYmICp9N5qS75WutnMhk8Hg9f+9rX8Pv9W3EMEZFdab1dLAaBY8CdwHtAetN2JCKyy42OjnLy5Emi0Sgej2fFfsYLMpkMtm1TLBbp6OjA7/df9RZ4fn4el8vFF77wBR588EEcDsdV1xcRkeXW0sWiBfgWF0ssGoAfAvd+1rlCRERW4Z133uGFF16gurqanp4eWlpaVuw6USqViEQipNNpXC4XfX191Ndfuc28MYbR0VESiQQHDhwgGAxu5TFERHa1tdwgx4HzXAzG//6z7wYsyxpYeMAY88om7k1EZFcwxlCpVCgWi8zMzNDS0kIgEFix64QxhnQ6TTQapVwu09XVRVdX11VvjfP5POFwmNnZWQ4dOsRXvvKVrTyOiMiut5aAnORiF4vvffbP5QzQtxmbEhHZLRZ6GgO0tLRQKpXo6elZ8dlCoUAkEiGTyVBXV0dPT881u07MzMxw7tw5ampqeOKJJ7jppps09ENEZIPW0sWidwv3ISKyq1ze09jn81EqlVZ81hjD5OQksViMSqVCIBCgo6PjqkF3YejHTTfdhNvt5oEHHrhquzcREVm9jYyaFhGRFSSTSX784x8zOTl51Z7GcLE8wrZtZmZm8Hg8hEIhXC7XFdc2xpBKpZiamuK73/0uLS0tGvohIrLJ1hWQLcv6rjHmTzZ7MyIiu0E6nSabzV61p7ExhvHxceLxizOXuru7aWtru+qtcbFYxLZtMpkM3d3dVwzdIiKyMVcNyJZlHVrpa+Cvc3FIiIjInlepVDh9+jRnz56lp6eHVCrF0NDQFcNuNpvFtm3m5uZobGwkFApdM+ym02kikQjGGB5++GHuuOMODf0QEdki17pB/vfAj7kYihdb+Q0TEZE9JhaLcfLkSZLJJA0NDdTV1VFdXb1iODbGkEwmSSaTVFVVXbXN2+VSqRTt7e088cQTtLe3b8VRRETkM9cKyB8Cf9sYM7n4S8uyntu6LYmI3PhyuRwvv/wy7777LrW1tfT29uL1eq8Ydufn5wmHw2SzWZqbm+nu7r7mAI+FlnBf+MIXOHbsGPX19VcdLS0iIpvjWgH5YWDu8i+NMY9vzXZERHaGXC7HmTNn6OjowOfzXTG4VioVEokEo6Oj1NTU0NfXR3Nz81XXrlQqxONxxsbGuPPOO3VjLCKyza4akI0x04s/W5bVYYwZ29otiYjcmMbHx3nrrbcYGhri/PnzHDhw4Kp1wLOzs4TDYfL5PK2trVccDrJYNpvlwoUgFntvAAAgAElEQVQLZLNZjh49yv3337/ZxxARkWtYaxeLHwP3bsVGRERuVMVikddff523336bqqoq8vk8dXV1VwzH5XKZeDzO+Pg4DoeDgYEBGhsbr/l30uk04XAYl8vFt7/9bQYHBzf7KCIisgprDcgazyQie8rZs2d57rnnmJqaujQi+mq1w9PT09i2TaFQoL29Hb/fv6q64aqqKj73uc/h8Xh49NFHqa+v38xjiIjIGqw1IJst2YWIyA2oUqnwwgsvkMvlGBwcpKGh4YrPlkolotEoqVQKp9PJ/v378Xg81/wb6XSa2dlZvvWtb+H1ernllls28wgiIrIOmqQnIrJIpVLhl7/8JaFQiE8++QSfz0dNTc1Va40XehSXSiU6Ozvx+XzX7FG8OFD7/f6rTs8TEZHtpRILEZHPJBIJTp48STweJxgM0tHRcdUBHsVikUgkwtTUFG63m4GBAerq6q75dzKZDJFIhGKxyL333su9996r9m0iIjeQtQbkr2/JLkRErqN8Ps+rr77KO++8Q01NzaWexldijCGVShGNRqlUKvj9fjo7O1c18GOhhVtDQwNPPPEEgUBgM48iIiKbYE0B2RgzulUbERG5Xk6dOsX7779PW1sbfr//qq3YCoUCtm0zPT1NfX09PT09qyqPmJ2dvVRjfNddd+H1eq/Z8k1ERK6PNf3b2bKsTuAR4GagGZgCfg28ZIxJbv72RES2RjqdxhjD1NQUlmUxNDR01c4RxhgmJiaIxWIABINB2tvbr3lrvLjl2wMPPEBXV9emnkNERDbfqgKyZVkHgb8H3A+8y8UR1EmgAfirwP9pWdarwP9ojPlgi/YqIrJh5XKZt99+m9deew2v10soFKK6uvqq4TiXy2HbNrOzszQ0NBAKhXA6ndf8W4sHhdx+++3ccccdm3kUERHZIqu9Qf4XwD8EvmOMyV/+Q8uyHMBx4Fngzk3bnYjIJrpw4QInT55kcnKS5ubma97mGmMYHR0lkUhQVVVFT08PLS0tq6o1HhsbIxqN0tTUxDe/+U16e3s36RQiIrLVVhWQjTG3X+PnBeBHn/0jInLD+c1vfsOf//mf43Q66e/vp6mp6arPz8/PY9s28/PzNDU1EQqFrjogZIExBofDwdGjR+nq6uLhhx++aicMERG58az5DRHLsl4B/tQY84PLvn/OGPP4pu1MRGSDjDHMzs5iWRZTU1P4fD46Ozuv2qO4UqmQTCZJJpPU1NSwb98+mpubr3lrbIwhmUxSXV3Nt7/9bdxuNzfffPNmH0lERLbBel6hvgvotCzrFuBvGWPKn31/z+ZtS0RkY5LJJM899xzT09MMDAwA4PP5rvo7c3NzhMNhcrkcLS0tBIPBVXWayGazhMNh5ufn+dznPreq+mQREblxrScgF4A7gD8DXrYs62vGmBQaIiIiN4BsNsurr77K6dOnqa6uJhAIYIy56g1wuVwmkUgwNjZGbW3tqkow4OKt8fj4OPF4HKfTyVNPPcWhQ4c28zgiInIdrKsJpzFmxrKsYeB/A05blvVVwGzqzkRE1mhiYoJ//s//OfPz87S3t18aE301MzMzhMNhCoUCbW1tBAKBVU+1K5fLjI6OMjAwwPDwMB6PZzOOISIi19l6ArIFYIwxwH9rWdavgZeBa3fKFxHZAvl8npqaGsbHx6mvrycUCl1z5HO5XCYajTI5OYnT6WRwcJCGhoZr/i1jDNPT0wSDQW699VaOHTuG1+tdVWcLERHZGdYTkH9/8QdjzL+xLOtj4Hc3Z0siIquTzWZ55ZVXOHPmDJ/73OcoFot0d3df8/cymQy2bVMsFuno6MDv91/1xb0FxWIR27bJZDJ8/vOfp7GxcTOOISIiN5g1B2RjzL9d4bv3gPc2ZUciItdgjOG9997j5ZdfJpvN0t7eTi6Xu2ZpRLFYJBqNkk6ncblc9PX1XXVAyGILobpSqfDII4+o1lhEZBdb7SS9PwT+2UpDQhY94wT+ujHmH2/W5kRELpfP5/nhD39ILBbD4/Fw4MCBa5ZTGGNIp9NEo1HK5fKq2r0tlkgkSCQSdHR08OSTT9LZ2bkZRxERkRvUam+Qu4CzlmWdAl4DPgZmuDhqej9wH/Bl4E+2YI8iIlQqFaqqqkin05RKpVVPtSsUCkQiETKZDHV1dfT09OB2u1f9d2tra/n85z9PT08PDz744KravomIyM622kl6f8eyrP8D+GtcrEG+CWgG0sD7wCng7xhjJrdqoyKyNxljOHPmDC+//DK33HILMzMzBAKBVf3e5OQksViMSqVCIBCgo6NjVS/TLYyYdrvdfO1rX1tToBYRkZ1v1Vchxphx4H//7B8RkS2XSqU4deoUn376KXV1dYyNja0qrObzeWzbZmZmBo/HQygUwuVaXaOdQqHAhQsXmJ2d5fDhw6v+PRER2T1WHZAty/rHxpg/XPT5940xzy76/P8ZY7622RsUkb3pzTff5Gc/+xkAwWCQ9vb2VY17XhjcAdDd3U1bW9uqW7ClUikikQhVVVUcP36cm2++We3bRET2oLUU0/0e8IeLPv9D4NlFnx/ejA2JiBSLRS5cuEBDQwPBYBCHw3HN38lms9i2zdzcHI2NjYRCoVX93oJCoUA4HCYQCPDkk0/i9Xo3cgQREdnB1hKQL79G0bWKiGya+fl5XnrpJfx+P+l0msbGxlWPe04mkySTSaqqqujt7V3T4I5sNovX6+X222/ntttuIxAIrLq7hYiI7E5rCciXj5LWaGkR2TBjDL/61a948cUXyefzTE5OrqqcAi6G6nA4fCnkBoNBamtrV/V3y+UysViMiYkJvvGNb9DR0bHRo4iIyC6xloBcY1nW/fynm+PLP1+9Q7+IyGXGx8c5efIktm3j8XjYt2/fql7Cq1QqJBIJRkdHqa2tpa+vj+bm5lX/3dnZWcLhMPl8njvuuIP+/v6NHENERHaZtQTkMeCPF32evOzz2KbsSET2jPfff594PE4oFKK1tXVVt8aLw21rayuBQGBNvYkXhn40NTXxzW9+k97e3g2cQEREdqO1tHnr3cJ9iMgece7cObLZLMVikbm5OQ4ePLiqsojFJREOh4OBgQEaGxvX9Ldra2sZGBjA5/PxyCOP4HQ613sMERHZxTQSSkS2xdzcHC+99BK//vWv8Xg8DA4OYlnWqsJxJpMhEolQKBRob2/H7/dTXb26qq6Fl/i8Xi8PPfSQhn6IiMg1KSCLyJa6/CW8rq4uurq6VlVOUSqViEajpFIpnE4n+/fvx+PxrPpvZ7NZwuEw8/Pz+Hw+hWMREVkVBWQR2VLnz5/nxIkTa3oJDyCdThOJRCiVSpdC9WrbrxljGBsbI5FI4HQ6eeqppzh06NBGjiEiInuIArKIbLqFm9+GhgZs26a/v5/GxsZV3RoXi0UikQhTU1O43W4GBgaoq6tb09/PZrPEYjH279/P8PDwmm6dRUREFJBFZFNduHCBkZERpqamOHLkCDU1Nase+JFKpYhGo1QqFfx+P52dnase+GGMIZvN0tXVxbFjx7jrrrsIBoMaFS0iImumgCwim2J6epoXX3yRM2fO4HQ66evrW3X7tXw+TyQSYXp6mvr6enp6enC5XKv+28ViEdu2mZ6e5t5776WxsXHNHS5EREQWKCCLyIZls1m+//3vr7le2BjDxMQEsVgMgGAwuOopegumpqaIRCKUy2UeeughOjs7130OERERUEAWkQ0YGxvD6/Vy9uxZfD4fHo9n1b2Fc7kc4XCYubk5GhoaCIVCa+pLbIzBtm0mJyfp7OzkySef1LhoERHZFArIIrJmmUyGn/zkJ3z44YccOXIEh8NBa2vrqn7XGMPo6CiJRIKqqip6enpoaWlZc62w2+1mcHCQQ4cOcezYsVX3RRYREbkWBWQRWbVSqcTPf/5zXn/9dSqVCj6fb01jnufn5wmHw2SzWZqbm+nu7l7VoJAFlUqFeDxOT08Px44dw+FwrOcYIiIiV6WALCKrYozh2WefJZlM0tzcTCAQWHVJRKVSIZlMkkwmqampYd++fXi93jX9/bm5OcLhMLlcjgMHDigci4jIllFAFpGrmp6exuPxEIlEqK+vZ2BgYE0dImZnZ7Ftm1wuR0tLC8FgcE23zovDdUNDA0899RR9fX3rOYqIiMiqKCCLyIpKpRJvvfUWb7zxBvv378ftdq+qn/GCcrlMPB5nfHyc2tpa+vv71/T7C2ZnZ0kmk9xyyy08+uija2r/JiIish4KyCKyzG9/+1uef/55pqamaG5uXvMLcNPT09i2TaFQoL29Hb/fv6Y1FoZ+dHd388ADD5BKpeju7l7rMURERNZFAVlElnjuuec4ffo0LpdrzeUUpVKJWCzG5OQkTqeT/fv3r3nM80L7t3w+z2OPPUZ9fT319fVrPYaIiMi6KSCLCMViEcuymJ6eJp/PEwgEaG9vX9WwjwULAzuKxSKdnZ34fL41/b4xhvHxceLxOA6Hg+PHj9PQ0LCe44iIiGzIjgrIlmX1Af8d0GSM+fqi7+uB14G/a4w5eb32J7LTGGMulVP4fD7q6+upra1d0zS6YrFINBolnU7jdrvp6+tb841vpVLh008/ZWZmhsHBQYaHhxWORUTkurnuAdmyrD8GvgKMGWOOLPr+d4B/BFQDPzDG/ANjzDng9y3L+vFly/wR8G+3a88iu0EqleL555/n7NmzuN1uyuUyxphV/74xhnQ6TSQSudQTubOzc023xguam5sZGhrC7/dzyy23rHloiIiIyGa67gEZ+BfA/wX8ycIXlmVVA98HHgaiwC8syzphjPng8l+2LOsh4ANAr7aLrNJ7773HyZMnsSyLQCBAR0fHmkJpoVDAtm2mp6epq6ujp6cHt9u9pj2USiUikQi33nord91117qCtYiIyFa47gHZGPO6ZVm9l319G3D2sxtjLMv6N8BxLgbhy90P1AOHgKxlWaeMMZXFD4yPj3P06NEV//7TTz/N008/vaEziOwExhjK5TKlUulSd4pAILCmSXbGGCYnJ4lGoxhj1hWu4WKXi3A4TLlcpr6+XuFYRES2zDPPPMMzzzxzpR+3rfSltZb/SXWrfBaQTy6UWFiW9XXgd4wx//lnn/8qcDvwd4H/lYs3yz8wxvz9RWv8HjCxUg3y0aNHzenTp7f4FCI3rsnJSU6dOoVlWbS2tlIqlda8Rj6fJxwOMzs7S0NDA6FQaNWT9BZUKhVisRjj4+O0tbXxta99ja6urjXvRUREZDNYlvWuMWbZLep1v0G+gpWuo4wxZhL4g5V+wRjzL7Z0RyI7ULFY5M033+TNN9/Esix8Pt+aw7ExhrGxMeLxOJZlEQqFaG1tXVedcDqdZnx8nNtuu42HHnpoTbfXIiIi2+VGDchRYPFUgCAQv057EdmRYrEYP/rRj8hkMrS0tKy5nAIgm80SDoeZn5+nsbGRUCiEw+FY0xrGGAqFAn6/n/vvv5/JyUl6enrWtIaIiMh2ulED8i+AQcuy9gEx4JvAt6/vlkR2hoWyqampKUqlEoODg2tumVapVBgdHSWZTFJVVUVvby9er3fNt8aFQoFwOEyxWOSxxx6jrq5uzYNDREREttt1D8iWZf0ZcB/QZllWlIu9jJ+1LOu/AH7CxTZvf2yMOXMdtylywyuXy/z85z/n3Llz9Pb2kslk2L9//5pD7dzcHOFwmFwuh9frJRgMrqsUYqEFHMCXv/zlNXe5EBERuV6ue0A2xnzrCt+fAk5t83ZEdqQLFy5w8uRJJicnaWpqorGxkerq6jWF40qlQjweZ2xsjNraWvr6+mhubl7zXiqVCrZtk0ql8Pv9PPnkk7S2tq55HRERkevlugdkEVm/bDbLCy+8wPvvv4/T6aS/v5+mpqY1rzMzM4Nt2+TzeVpbWwkEAtTUrO9fDy6Xi6amJo4cOcK9995LdXX1utYRERG5XhSQRXaw+fl5PvnkE7q6uujq6lpzP+FyuUwsFmNiYgKHw7GuemW4WPecSCQYGhrizjvvxOFwaBqeiIjsWArIIjtMNBrl7bff5uDBg9i2zdDQ0LoGbWQyGWzbplgs0tHRgc/nW9dtby6X48KFC8zPz3PkyJE190YWERG50Sggi+wQ8/PzvPzyy7z33nuXXppzu91rDselUoloNEoqlcLlctHX10d9ff2a92OMYWJiglgshtPp5K/8lb/CwYMH17yOiIjIjWZPBORMJnNpnPTw8DDDw8PXeUciq1epVPjlL3/JT3/6U/L5/Lpve40xTE1NEYlEKJVK6y7LWDAxMUEkEqG/v5/jx4+vqzRDRERku42MjDAyMrLwccUXd26IUdNbTaOmZScrFAr803/6TymVSgSDwXW1SysWi9i2TSaToa6ujlAoRF1d3br2Uy6XaWxs5MiRI8RiMW655RbVG4uIyI6000ZNi+xpc3NzvPbaaxw4cIBz587R3d295rZtcPHWOJVKEY1GqVQq+P1+Ojs71xVoy+Uy0WiUfD7P3/ybfxO3201HR8ea1xEREbnRKSCL3EAqlQqnT5/mlVdeoVAoMDExgdfrXVfLtXw+j23bzMzM4PF4CIVCuFyude1rdnaWcDhMoVDg7rvvXvO4aRERkZ1EAVnkBmHbNs899xxjY2M0NDTQ39+/rkBrjGF8fJx4PA5Ad3c3bW1t67o1XmjflkwmaWpq4tvf/jahUGjN64iIiOwkCsgiN4if/exnTE1NsW/fPpqbm9cVaHO5HOFwmLm5ORobG+nu7t5Q27WqqipKpRI333wzX/7yl9XCTURE9gQFZJHrpFKp8Itf/ILOzk7i8Tgej4eDBw+uqxexMYbR0VESiQRVVVX09PTQ0tKy7lvjyclJQqEQt99+Ow6HQyUVIiKypyggi1wH4XCYU6dOMTY2RldXF36//1Jv47Wan58nHA6TzWZpbm6mu7t73WsVCgVs22Z6epqBgQE8Hs+61hEREdnJFJBFttHMzAwvvfQSv/nNb3A4HPT19dHUtGILxmuqVCokEglGR0epqalh3759eL3ede8tnU4TiUQAePzxx/nCF76w7rVERER2MgVkkW30xhtvcObMmQ0P6VjoKpHP52lpaSEYDK6r08WCsbExotEofr+fJ598ktbW1nWvJSIistMpIItssXPnzgEXexsXi0UOHjy47pfdyuUy8Xic8fFxHA4HAwMDNDY2rntvxhjcbjcPPvgg0WiUu+66a92hXUREZLfYEwFZo6blepiamuLFF1/kww8/pLm5mb6+PqqqqtYdjqenp7Ftm0KhQHt7O36/f10v9MHF8ox4PE6pVOJ73/seLpeL3t7eda0lIiKyk2jU9Gc0alq2U6lU4u233+aNN96gUqnQ1dVFR0fHum9mS6USsViMyclJnE4nPT09G3p5bvFLfV/84hd55JFHNlSeISIislNp1LTINnnvvfd49dVX8Xq9BAKBDbVIm5qaIhKJUCwW6ezsxOfzrTtoL24FV1dXx3e+8x0GBgbWvTcREZHdSgFZZBOkUikmJyepqalhYmKC/fv3b+iWt1gsEolEmJqawu1209/fT11d3Yb2aFkWMzMzHDx4kMcff3zD64mIiOxWCsgiG1AoFHjzzTd56623cDgcHDx4EMuy1h2OjTGX2q1VKhV8Ph9dXV3rGvixeL1QKMTRo0d58MEHcbvd615PRERkL1BAFlkHYwwffvghL7zwAjMzM7S0tBAIBDYUPBcP6aivrycUCuF2u9e9XrFYxLZtMpkMQ0NDNDQ0rHstERGRvUQBWWQdIpEIP/rRj3C73RsupzDGMDExQSwWAyAYDNLe3r6hsL1Qu1ypVHjkkUe4/fbb172WiIjIXqOALLJK+Xwe27Zpbm7m008/vTQFbyNBNpfLYds2s7OzNDQ0EAqF1t0GbkEymSQej9PZ2cmTTz5JR0fHhtYTERHZaxSQRa7BGMP777/PSy+9RDab5fDhw9TW1tLc3LyhNcfGxojH41iWRSgUorW1dUNh2xiDy+XinnvuIR6Pc+zYsXX3SRYREdnLFJBFriKRSHDq1Cmi0Sj19fUMDg5SW1u7oTWz2SzhcJj5+Xmampro7u7eUCu4SqVCIpGgqqqK7373u7hcLg4cOLChPYqIiOxlCsgiVzA7O8sPfvADqqur6enpoaWlZUM3vJVKhdHRUZLJJNXV1fT29uL1eje05uKw/fnPf37D4V1EREQUkEWWqFQqnD9/nq6uLs6cOUNvby8ej2fDk+bm5uYIh8Pkcjm8Xi/d3d0bWnOhRCORSOByufjGN76hW2MREZFNooAs8plIJMKpU6dIJpMcPHgQt9u9oTpjuBi44/E4Y2Nj1NbW0t/fT1PTimPf17zuxMQEAwMD/O7v/i719fUbXlNEREQuUkCWPW92dpaXX36ZX//61zgcDnp7e3G5XBted2ZmBtu2yefztLW1EQgENvTSnDGG6elpAoEAt956K/fdd9+Gu2iIiIjIcnsiIGcyGZ5++mkAhoeHGR4evs47khtFuVzmmWeeYXZ2ls7OTrq6ujbc+aFcLhOLxZiYmMDhcDA4OLjhIR2lUolIJEI6nebw4cObcgstIiKyF42MjDAyMrLwccX/oFrGmO3b0XVy9OhRc/r06eu9DbmBRKNROjo6+O1vf8uvfvUrnE7nptwaZzIZbNumWCzS0dGB3++nqqpqQ2tOT09j2zalUon77ruPu+++e8NrioiICFiW9a4x5ujl3++JG2SRBZlMhhdffJEPPviAgYEBGhsbN+U2tlQqEY1GSaVSuFwu+vr6NqUueGHoR1tbG08++SQ+n2/Da4qIiMjVKSDLnlAul/n5z3/Oa6+9RqVSwefzbWg89AJjzKWxzqVSia6uLrq6ujblhtfhcPCFL3yBUCjEgw8+uOFOGiIiIrI6+i+u7Al/+qd/yrlz52hubiYQCGx4nDNAsVjEtm0ymQx1dXUMDAxQV1e3oTWNMSSTSZxOJ9/4xjc2pexDRERE1kYBWXatqakp6urqSCQSOJ3OTWuxZowhlUoRjUapVCoEAgE6Ojo23E0il8sRDoeZm5vjc5/73KaEeBEREVk7BWTZdUqlEm+//TZvvPEGwWCQlpYW3G43brd7w2vn83ls22ZmZgaPx0MoFNrwLa8xhomJCWKxGA6Hg69//escPnx4w3sVERGR9VFAll3lk08+4dSpU0xNTdHc3LwpdcZwMcSOj48Tj8cB6O7upq2tbVN6EBeLReLxOL29vRw/fpzGxsYNrykiIiLrp4Asu8Yrr7zCG2+8gcvlutShYjMsLn1obGwkFArhcDg2vO7c3BwdHR186Utf4ktf+tKmlGmIiIjIxikgy45WLBYplUrkcjlyuRx+v5+Ojo5N6SJhjGF0dJREIkFVVRU9PT20tLRsOMSWy2UikQipVIpbbrkFr9e74b2KiIjI5lFAlh3JGMNvf/tbnn/+eRoaGujs7MQYQ1dX16asPz8/TzgcJpvN0tzcTHd3N7W1tRted2ZmhnA4TLFY5N5772VwcHATdisiIiKbSQFZdpxUKsXzzz/P2bNnL718t1kTISuVColEgtHRUWpqaujr66O5uXlT1k4kEiQSCbxeL08++STBYHBT1hUREZHNpYAsO8qHH37Ij3/8YyzL2rT2agtmZ2cJh8Pk83laW1sJBAKbNpyjpqaGAwcO4Pf7eeSRRzalhllERES2hgKy3PCMMeTzeSzLYmpqCq/Xi9/v35SSB7hYExyPxxkfH8fhcGzaC37GGMbGxqivr+f48eMbHiIiIiIi20MBWW5o4+PjPP/888zOztLb20u5XKanp2fT1p+ensa2bQqFAu3t7fj9fqqrqze8bqFQIBwOMzMzw+HDhzelB7OIiIhsjz0RkDOZDE8//TQAw8PDDA8PX+cdybXk83l+9rOf8c4771D1/7d358Fxn/d9x9/PYoFdYHFjcewusCDAS5dlioJI8dBFWdZRUabIxGEtKZnEjpxMzk5n3LSdTqfpdCbtdNymk5l2XMeNE1tJUydRg4iirEquxEiWFMmxY1kHFYrcAzcWi3OBPZ/+AYDdUJRNSvvbBbCf1wyG3J/I3/eLBUV+5sHz+z4uFz09PeRyuZJtp8jlcoyMjJBIJPB4POzataskM5OttSSTSWKxGC6Xi4ceeog9e/ZofJuIiMgGMTw8zPDw8PrLyx6xa0r1cNNGNjQ0ZF9//fVKtyFXaHx8nD/6oz8ilUrR0dFR0u0UsHoEdTQaJZfL0d3dTSAQKMlYOFidmfzWW2/R29vL8ePHNcJNRERkAzPGvGGtHbr0elWsIMvmkM1mcblczMzM4PF46Ovrw+fzlfT+sViM2dlZ6uvr2bFjR8n2BafTaVpbWzlw4ABDQ0P09/eXLHSLiIhIeSkgS8WlUimef/55/v7v/57rr7+elZUVBgYGSnZ/ay0zMzPE43EKhQLBYJDu7u6SbHsoFAqMjIwwNTXFY489ht/vx+/3l6BrERERqRQFZKmYQqHAG2+8wfPPP086ncbv97O0tFSSh+TWZTIZotEo8/Pz+Hw++vv78Xq9Jbl3KpXiwoULrKyssG/fPvr6+kpyXxEREaksBWSpiMXFRb7xjW8wMTFBU1MTAwMDJZ30YK1lenqakZERAHp7e+ns7CzZw3ITExOMjo7i8/l49NFH2b59e0nuKyIiIpWngCxllc/nqampIZlMksvlGBgYoLW1taRTHlZWVohGoywuLtLU1EQ4HMbj8ZTs/jU1NQQCAVpaWnjwwQc1wk1ERGSLUUCWssjn87z66qu88sor7N27l4WFhZLOM4b/fzDH6OgoLpeLcDhMR0dHScL3+op0c3Mz995778WRcBrfJiIisvUoIIvjzp07x9NPP00ikaClpYVEIlHyo5ZTqRTRaJRUKkVLSwt9fX0lq5HNZolEIszPz3PdddfR1NRUkvuKiIjIxqSALI7J5/N861vf4p133sHr9bJ9+3ZaWi47j/sjKxQKjI+PMz4+jtvtLtXAAXAAAB6HSURBVPmWjfVDPwDuv/9+brnllpLcV0RERDYuBWQpOWstxhjm5+eZm5sjGAzS1dVV8rnAS0tLRCIRVlZWaG9vp7e3F7e7dH+kl5aWOH/+PMFgkIcffljj20RERKqEArKU1NmzZ3nmmWfYs2cPc3NzBAKBktcoFAqMjo4yOTlJbW1tyVemM5kMzc3N3Hrrrdx4441cc801OvRDRESkiiggS0nMzMxw+vRp3nvvPbxeLyMjIyU9BW/dwsICkUiETCaD3+8nFAqVbG7y+qEfiUSCL3zhC3R2dtLZ2VmSe4uIiMjmoYAsH9uLL77Iiy++CEAoFKKzs7PkK675fJ6RkRGmp6fxeDzs3LmzpA/LFW/X2L9/v7ZTiIiIVDEFZPlY0uk08Xic5uZmQqFQyadTAMzNzRGNRslms3R1dREMBksawMfGxhgfH6exsZHPfvazJT3mWkRERDYfBWS5aolEgqeffpr+/n4WFxdpbGx0ZPRZLpcjFouRTCbxer0MDg6WfNuG2+2mvb2drq4u7rvvvpIdQy0iIiKblwKyXLFMJsOZM2d4+eWXMcaQy+VKdhBHMWstyWSSeDxOPp+np6eHnp6ekq0aW2uZmpqiq6uL22+/nYaGBh34ISIiIhcpIMsVeffdd3nqqadYWFigvb2dUChEbW1tyetkMhlisRhzc3M0NDTQ399f0qOcM5kMkUiEhYUFenp6HHmQUERERDa3qgjIc3NzPP744wAcPXqUo0ePVrijzaVQKHD+/Hny+Ty7du26eMxyKVlrSSQSjIyMUCgUCIVCdHV1lXRld2Zmhng8jjGGBx98kL1795bs3iIiIrI5DA8PMzw8vP7ysnNijbW2fB1VyNDQkH399dcr3camkk6neeGFF/B4PBQKBRYWFgAc2YqQTqeJRqMsLCzQ2NhIOBwu+V7gubk5zp07RygU4vjx47S3t5f0/iIiIrL5GGPesNYOXXq9KlaQ5cpZa3nzzTd55plnWFpaoquri97eXkeC8fpe4NHRUQD6+vrw+/0lrZXL5WhsbGT//v2Mjo5y44036tAPERER+bEUkOWiyclJnnrqKaLRKA0NDezevduxPbrLy8tEo1GWlpZobm4mHA6XdETc+ml7s7OzPP7443R0dNDV1VWy+4uIiMjWpYAsF8XjcUZHRwmHw45Mp4DVVePx8XHGx8dxuVz09/fT3t5e0lrLy8tcuHCB5eVlhoaGHBlBJyIiIluXAnIVW99OkUgkaGxsZGxsjOuvv75kRzdfKpVKEYlEWF5eprW1lb6+vpJOwrDWMjk5yejoKPX19Xzuc59j586dJbu/iIiIVAcF5Co1NTXFU089RSQSwefzsWvXLowxjoTjQqHA2NgYExMTuN1uBgcHaW1tLXkdl8uF2+1m165dHD16VCPcRERE5CNRQK4ymUyGF154gVdeeQWXy+XIg3HFFhcXiUQipNNpOjo6CIVCuN2l/WM3MzOD3+/n8OHD+Hw+ampqdPCHiIiIfGQKyFVmcnKSV155hba2NoLBoCOHfQDk83lGR0eZmpqirq6OHTt20NzcXNIaxUdRt7e309Jy2VGGIiIiIldFAbkKTE9P8/bbbxMMBjl79izXXXddSSdGXGp+fp5oNEomk6Gzs5NgMFjyrRvrNXK5HHfddReHDx8u6f1FRESkeikgb2GZTIYzZ87w8ssvY4zh2muvpa6uzrFwnMvliMfjzMzM4PF4HDt1b3Z2lvfff5/29nZOnDhBMBgseQ0RERGpXgrIW5C1lnfeeYfTp08zPz9Pe3s7oVDIse0UAMlkklgsRi6Xo7u7m0AgUPIDOQqFAh6Ph9tuu41wOMzBgwcd/ZxERESkOikgb0ErKys8+eST1NTUOLaKuy6bzRKLxZidnaW+vp4dO3bQ0NBQ0hrWWiYmJpibm+MLX/gCra2tbNu2raQ1RERERNYpIG8R2WyW73//+wwODvLmm28yODhIfX29Y9McrLXMzMwQj8cpFAoEg0G6u7tLXi+dThOJRFhcXOTaa6/F4/GU9P4iIiIil1JA3gLOnj3LqVOnmJubY+fOnTQ1NZV8FbdYJpMhGo0yPz+Pz+ejv78fr9db0hrWWhKJBCMjI9TU1HDs2DFuvPFGjW8TERERxykgb2LJZJLTp09z9uxZvF7vxXDsFGst09PTjIyMANDb20tnZ6cjodUYw/LyMn19fRw7dkwj3ERERKRsFJA3KWstTzzxBMlkklAoRGdnZ8kfiiu2srJCNBplcXGRpqYmwuGwI9sdZmdn8fv97N+/n/r6erxer1aNRUREpKwUkDeZc+fO0d3dzblz5/D7/fT09Dg609hay+TkJKOjo7hcLvr7+2lvby95aM3n88TjcRKJBH6/n/b29pLeX0RERORKKSBvErOzs5w+fZp3332XcDiM3+93dJ8xQCqVIhqNkkqlaGlpIRwOOzJWbf046kwmw+HDh7nzzjtLXkNERETkSikgb3C5XI6XXnqJM2fOABAMBh1fXS0UCoyPjzM+Po7b7WZgYIDW1lZHtjrMzMxw4cIFWltbeeSRR+jr6yt5DREREZGroYC8wT355JP86Ec/oq2tjVAo5Oh2CoClpSUikQgrKyu0t7fT29uL2136PybWWmprazl48CCBQIA777zT8c9NRERE5EooIG9AMzMzuN1uEokENTU1jk+ngNVV49HRUSYnJ6mtrWX79u2OTI5Y39O8tLTEL/zCL9DU1MTOnTtLXkdERETko6qKgDw3N8fjjz8OwNGjRzl69GiFO7q8bDbLmTNneOmll+jq6iIYDOJ2ux0PxwsLCxf3APv9fkKhEDU1NSWvU3zoxzXXXKMVYxERESm74eFhhoeH119edjXQWGvL11GFDA0N2ddff73SbXwoay3vvPMOp0+fZn5+nra2Nnp7ex15IK5YPp9nZGSE6elpPB4P4XDYkTBefOpeTU0NDzzwgA79EBERkYozxrxhrR269HpVrCBvdN/97nd59tlnqa+vL8t2ClhdVY9Go2Sz2Yur1U7OUU4mk/T29nLs2DFaW1sdqyMiIiLycSkgV0gmkyGVSpHP51lcXHT0VLpi2WyWeDxOMpnE6/UyODiIz+dzpNbc3BxdXV3cfPPN3HXXXTQ2NmrVWERERDY8BeQys9by1ltv8cwzz+B2u9m2bRvGGLq6uhyvm0wmicfj5PN5AoEA3d3djqwaFx/6EQqF6OjoKHkNEREREacoIJfR1NQUp06d4sKFCzQ0NBAIBMqyoprJZIjFYszNzdHQ0EB/fz/19fWO1CoeE3fw4EFuu+02R+qIiIiIOEUBuUzOnTvHE088gcvloq+vD7/f73g4ttaSSCSIx+NYawmFQnR1dTlWN5FIEIlEaG5u5uTJk/T39ztSR0RERMRJCsgOstaysLBAbW0t09PTdHZ20t3d7cjBG5dKp9NEo1EWFhZobGwkHA7j9Xodq1dTU8PNN99MR0cH99xzj6O1RERERJykgOyQiYkJTp06RSKRYPfu3QCEQiHH664fxDE6OooxhnA4TEdHhyOrxtZapqenSafTPProozQ1NfGJT3yi5HVEREREykkBucRWVlb4zne+w9/8zd9QU1NDMBjEWluWvcbLy8tEo1GWlpZobm4mHA47dhhHNpslEokwPz/P9u3b8Xg8jtQRERERKTcF5BJKJpN89atfJZVK4ff7L56E57RCocDExATj4+O4XC62bdtGW1ubY6E8mUwSi8Ww1nL//fdzyy23aHybiIiIbBkKyCWwvLxMXV0dExMTF/f7NjQ0lKX20tIS0WiU5eXlspzAl8/nGRsbo7Ozk+PHj+P3+x2rJSIiIlIJCsgfQyqV4vnnn+eHP/whe/bsIZfL0dvbW5bahUKBsbExJiYmqK2tZXBw0NET6paWlmhra2PPnj0cPnyYtrY2ampqHKsnIiIiUikKyB9BoVDge9/7Hs899xzpdJrOzk7S6XTZAuPCwgLRaJR0Ok1HRwehUMixrRzFQfzIkSN0d3c7UkdERERko1BAvkrZbJavfe1rjI+P09TUxMDAgGOHblwqn88zMjLC9PQ0dXV17Nixg+bmZsfqLS8vE4lESKVS3HTTTezfv9+xWiIiIiIbhQLyFcpkMtTV1TE5OYnL5WJgYIDW1tayPZw2NzdHNBolm83S2dlJMBh0dMU6kUgQi8Xwer2cPHny4qg6ERERka1OAfknyOfzvPbaa7zwwgvcdNNNZDIZenp6ylY/l8sRj8eZmZnB6/UyMDBAY2OjozVdLhfXXHMN9fX1PPjgg/h8PkfriYiIiGwkCsg/xvnz5zl16hTT09M0NzezsLBQ1nm/6+PUcrkcPT099PT04HK5HKs3MzNDPp/nxIkTtLS0cOuttzpWS0RERGSjUkC+DGstTz75JH/3d3+Hx+NhcHCQlpaWsm2nyGazxGIxZmdnqa+vZ8eOHY6Ojcvn88RiMWZmZujt7dWKsYiIiFQ1BeQi+Xyempoa5ubmWFpaIhAI0N3d7eiqbTFrLTMzM8TjcQqFAsFgkO7ubkeD+eLiIpFIhEwmwx133MHtt99ets9XREREZCNSQF7z3nvv8fTTT7N7926y2SwtLS20tLSUrX46nSYWizE/P4/P56O/vx+v1+tozXw+z/vvv4/P5+ORRx6hr6/P0XoiIiIim0HVB+RkMsnp06c5e/YsXq+XRCJBU1NT2epba5mammJ0dBSAvr4+/H6/o6vG2WwWj8fDDTfcwJ49ewgEAmXdWy0iIiKykVV1QP7ud7/Lc889B0AoFKKzs7Os2wtWVlaIRCIsLS3R1NREOBx2NKgWb+G4++67GRgYcKyWiIiIyGZVdQHZWguszjWenJykpaWFYDBIXV1dWXuYmJhgbGwMl8tFf38/7e3tjq4a53I5YrEYyWSScDjMdddd51gtERERkc2sqgLy9PQ0Tz/9NO3t7bhcLlwuF9u2bStrD6lUikgkwvLyMq2trfT19VFbW+tozcXFRS5cuEAul+PIkSMcOnRID+KJiIiIfIiqCMjWWp599lleeeUVjDHkcjn8fn9ZeygUCoyPjzM+Po7b7WZgYIC2tray1G5qasLn83HixAlCoVBZaoqIiIhsVlURkCcnJ3n55Zfp6OggGAw6vmJ7qaWlJSKRCCsrK7S3t9Pb24vb7exbv7KywvLyMnfccQf9/f0XR9iJiIiIyI9XFQHZWsvu3bvLfgBGPp9nbGyMyclJ6urq2L59u+Oj46y1JBIJ4vE4Xq/34rHYCsciIiIiV6YqArLX6y17OF5YWLh4AEdnZyfBYNDxkJrL5YhGo8zOzrJt2zYefvhhjW8TERERuUpVEZBTqRS/93u/B8C+ffvYt2+fY7Xy+TzxeJxEIoHH42HXrl00NjY6Vm9doVDg3XffJZvNcs8993DgwIGyHY0tIiIislkMDw8zPDy8/vKy39o362PPtrKdO3faL3/5y47XmZ2dJRaLkc1m6e7uJhAIOD4twlqLMYZAIEChUKCvr49AIOBoTREREZGtwBjzhrV26NLrVbGC7LRsNks8HieZTFJfX8/g4GBZtnSsrKxw4cIFDh8+zNDQB762IiIiIvIRKCB/DNZakskk8XicfD5PIBCgu7u7LKvG09PTjIyM4PF4yj6yTkRERGQrU0D+iDKZDNFolPn5eRoaGujv76e+vt7xutlslmg0ytzcHIODgxw7doympibH64qIiIhUCwXkq1Q8Rs1aSygUoqurq2wPxC0vL7OwsMC9997L/v379SCeiIiISIkpIF+FdDpNJBJhcXGRpqYmwuFwWcaoFQoFlpeX2b17N9dffz2Li4u0t7c7XldERESkGikgXwFrLZOTk4yOjmKMIRwO09HRUZbV21QqRSQSIZfL8ZnPfIa6ujqFYxEREREHKSD/BMvLy0QiEVKpFC0tLfT19VFXV+d43eJQ3tDQwM/8zM+UZY+ziIiISLVTQP4QhUKBiYkJxsfHqampYdu2bbS1tZVl1bhQKHDu3DkWFhbYvXs3Dz30EA0NDY7XFREREREF5MtaWloiEomwsrJCW1sbvb291NbWlq1+c3MzO3bsoLe3l5tuukkP4omIiIiUkQJykUKhwOjoKJOTk9TW1jI4OEhra2tZaq8fUX3jjTdy6NAhampqylJXRERERP4hBeQ1CwsLRKNR0uk0HR0dhEIh3O7yvD2Li4tEIhEymQz19fUKxyIiIiIVVPUBOZ/PMzIywvT0NHV1dezcubNsB29YaxkbG2N8fJyWlhY+97nPEQ6Hy1JbRERERC6vqgPy3Nwc0WiUbDZLV1cXgUCgrKu3MzMzjI+P88lPfpL77rsPr9dbttoiIiIicnlVGZBzuRzxeJyZmRm8Xi+Dg4P4fL6y1LbWks1m6ezs5LbbbmNqaoqdO3eWpbaIiIiI/GRVF5CTySSxWIxcLkdPTw89PT24XK6y1M7lckSjUVZWVrjvvvvw+XxlewhQRERERK5M1QTkbDZLLBZjdnaWhoYGduzYUdbZwvPz80SjUXK5HEeOHNGhHyIiIiIbVFUE5Fwux1tvvUWhUCAYDNLd3V222cLWWkZGRpicnKSjo4MTJ04QCATKUltERERErl5VBOR0Ok19fT3hcLjsD8K53W48Hg9DQ0N8+tOfLuuBIyIiIiJy9aoiIK+PbyvnqvHU1BT9/f0cPHgQj8ej2cYiIiIim0R5nk6rsNra2rKF42w2y7lz54jH47hcLhoaGhSORURERDaRqlhBLpfZ2Vmi0SgADzzwAENDQxXuSERERESulgJyiSQSCSKRCN3d3fzUT/0Ufr+/0i2JiIiIyEeggPwxFQoF6uvrufvuu4lEIhw4cEBbKkREREQ2MQXkj6hQKDA2NkYqleKLX/wiPp+Pvr6+SrclIiIiIh+TAvJHsLy8TCQSIZVKsXfvXo1uExEREdlCFJCvgrWWyclJxsbG8Hq9nDx5kt27d1e6LREREREpIQXkq2CMYXl5mR07dvDQQw/h8/kq3ZKIiIiIlJgC8k9grWV2dpZAIMC+ffv41Kc+hdfrLdtcZREREREpLwXkHyOXyxGLxUgmk/T29tLS0lLplkRERETEYQrIH2J+fp5oNEoul+PIkSMcOnSo0i2JiIiISBkoIF/G9PQ00WiUjo4OTpw4QSAQqHRLIiIiIlImCshFrLXU1dVx6NAh+vr6uOOOOzTCTURERKTKKCCzGozHx8fJZDJ8/vOfp76+nl27dlW6LRERERGpgKoPyOl0mgsXLrC0tMQNN9yA2131b4mIiIhIVavaNGitJZFIMDIygtvt5vjx43ziE5+odFsiIiIiUmFVHZCnp6cJh8McO3aM5ubmSrckIiIiIhtA1QXk+fl5urq6uPnmm7nrrrtoamrSoR8iIiIiclHVBOR8Pk88HieRSNDf3097e3ulWxIRERGRDagqAvLS0hKvvvoqHo+Hnp4eDhw4UOmWRERERKQChoeHGR4eXn952WOSjbW2fB1VSDAYtF/60pc4fvw44XC40u2IiIiIyAZgjHnDWjt06fWqWEH2+Xz88i//Mh6Pp9KtiIiIiMgG56p0A+XQ0tKicCwiIiIiV6QqArKIiIiIyJVSQBYRERERKaKALCIiIiJSRAFZRERERKSIArKIiIiISBEFZBERERGRIgrIIiIiIiJFFJBFRERERIooIIuIiIiIFFFAFhEREREpooAsIiIiIlJEAVlEREREpIgCsoiIiIhIEQVkEREREZEiVRGQp6amKt2CiIiIyJbzla98pdItOKIqAvL09HSlWxARERHZchSQRURERESqgAKyiIiIiEgRBWSRTWh4eLjSLcgV0NfpylXLe7XZP8+N3v9G6q9SvWyk92AzU0AW2YT0F+DmoK/TlauW92qzf54bvf+N1J8C8uamgCwiIiIiUsRYayvdg+OMMQvAu5XuQ6SEWoC5SjchP5G+TleuWt6rzf55bvT+N1J/leql3HX9wGYeF9Zvre289GJVBGQRERERkSulLRYiIiIiIkUUkEVEREREiiggi2wSxpg+Y8x3jDFvG2N+ZIz5jUr3JB9kjPEaY14zxvxg7ev0byrd00ZnjKkxxvytMeavKt2Lk4wxF4wxPzTGfN8Y83ql+7kaxphWY8y3jDHvrP0ddKDSPa0zxuxee0/XP+aNMb9ZwX7+ydr/+28aY/7YGOMtY+3fWKv7o0q+B1vBlg7IxpivGWMmjTFvVroXkRLIAf/UWnstcCvwK8aY6yrck3xQGjhirf0ksAe4zxhza4V72uh+A3i70k2UyV3W2j3W2qFKN3KVfhc4ba29BvgkG+jrZa19d+093QPcDKSAv6hEL8aYEPDrwJC19gagBjhZpto3AL8I7GP1a/SgMWZniWt8IFcZY9qNMc8aY95b+7GtlDUrZUsHZOAPgPsq3YRIKVhrx6y131v7+QKr/0CFKtuVXMquWlx7Wbv2oaehP4Qxphf4R8BXK92LXJ4xphm4Hfh9AGttxlo7W9muPtTdwDlrbaSCPbiBemOMG2gARstU91rgFWttylqbA14AHi5xjT/gg7nqt4DnrLU7gefWXm96WzogW2tfBGYq3YdIqRljtgE3Aa9WthO5nLUtA98HJoFnrbX6On24/wx8CShUupEysMC3jTFvGGMer3QzV2EQmAL+x9pWmK8aY3yVbupDnAT+uFLFrbUjwH8EosAYMGet/XaZyr8J3G6M6TDGNAAPAH2lLPAhueozwNfXfv514Fgpa1bKlg7IIluRMaYR+DPgN62185XuRz7IWptf+3ZvL7Bv7VufcgljzIPApLX2jUr3UiaHrLV7gftZ3SJ1e6UbukJuYC/wX621NwFLbMBVQmNMHfAQ8L8q2EMbq4FxAAgCPmPMo+Woba19G/j3wLPAaeAHrG7Nc1q3tXZsrYcxoKsMNR2ngCyyiRhjalkNx9+01v55pfuRH2/t29D/F231+jCHgIeMMReAPwGOGGO+UdmWnGOtHV37cZLVPbL7KtvRFYsD8aLvhHyL1cC80dwPfM9aO1HBHj4FnLfWTllrs8CfAwfLVdxa+/vW2r3W2ttZXel9r1y1txoFZJFNwhhjWN0D+La19suV7kcuzxjTaYxpXft5Pav/YL5T2a42JmvtP7fW9lprt7H6rfHnrbVlWW0rN2OMzxjTtP5z4NOsfkt8w7PWjgMxY8zutUt3A29VsKUP84+p4PaKNVHgVmNMw9rf2XdTxgcajTFdaz+GgeOU5/2YMMYE1uoGWN1atum5K92AiFyxQ8BjwA/X9rcC/Atr7akK9iQfFAC+boypYXUR4k+ttVt6fJlckW7gL1YzE27gCWvt6cq2dFV+Dfjm2jaG94Gfr3A//8Dantt7gC9Wsg9r7avGmG8B32N1e8PfAl8pYwt/ZozpALLAr1hrk2Wo+ZfAzwG/s/bj/y5DTcdt6aOmjTF/DNzJ6jnhE8C/ttb+fkWbEhEREdmELpergCeBPwXCrK6g/7S1dtMPSNjSAVlERERE5GppD7KIiIiISBEFZBERERGRIgrIIiIiIiJFFJBFRERERIooIIuIiIiIFFFAFhEREREpooAsIrLFGGOsMWbJGPPviq5dMMZ8yoFazxtjVowxf13qe4uIVIoCsojIBmKMWSz6KBhjloteP3IVt/qktfZffsxenjHG/PZlrn/GGDNujHFba48Av/Rx6oiIbDQKyCIiG4i1tnH9g9VTqY4WXftmmdv5A+Axs3Y+cpHHgG9aa3Nl7kdEpCwUkEVEqowx5hpjzHljzMm110FjzJ8ZY6bWrv/62i99EmgHbiv6vW3Ag8Aflr1xEZEyUUAWEakixpi9wLeBX7PW/okxxgUMAz8AQsDdwG8aY+611i4Dfwr8bNEtPgu8Y639QZlbFxEpGwVkEZHqcRvwl8DPWWv/au3aLUCntfa3rbUZa+37wH8HTq79968DP22MqV97/bNr10REtix3pRsQEZGy+SXgBWvtd4qu9QNBY8xs0bUa4AyAtfavjTFTwGeMMa+xGqiPl6thEZFK0AqyiMgmYYypM8a8aoypN8Y8ZIz5b1d5i18CwsaY/1R0LQact9a2Fn00WWsfKPo1f8jqyvFjwLettRMf7zMREdnYFJBFRDYJa22G1e0Pvwv8PPCrV3mLBeA+4HZjzO+sXXsNmDfG/LO14F1jjLnBGHNL0e/7Q+BTwC+i7RUiUgUUkEVENpeXgc8Dv/pRxqxZa2eBe4D7jTH/1lqbB44Ce4DzwDTwVaCl6PdcWKvrY3UPs4jIlmastZXuQUREroAxpgP4n8D/AQrW2v/wIb9uBUgD/8Va+68c7ulZ4FbgNWvt3U7WEhEpFwVkEZFNwBjjAf4c+C3gbeAl4G5r7WJFGxMR2YIUkEVEREREimgPsoiIiIhIEQVkEREREZEiCsgiIiIiIkUUkEVEREREiiggi4iIiIgUUUAWERERESmigCwiIiIiUkQBWURERESkyP8D1JOkT4E5nf0AAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "mt_relation = ScalingRelation(np.array([1.71, 3.84]), np.array([0.09, 0.14]), power_law, Quantity(5, 'keV'),\n", " Quantity(1e+14, 'solMass'), r\"T$_{x}$\", \"E(z)$^{-1}$M$_{500}$\",\n", " relation_author='Arnaud et al.', relation_year='2005',\n", " relation_doi='10.1051/0004-6361:20052856',\n", " relation_name='Hydrostatic Mass-Temperature', x_lims=Quantity([1, 12], 'keV'))\n", "mt_relation.view()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.5" } }, "nbformat": 4, "nbformat_minor": 4 }