{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 2D Plotting Functionalities for POSYDON PSyGrids" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This tutorial shows you how to plot single and binary stellar tracks using the `plot2D` visualization library. The `plot2D` method supports either a MESA grid which samples the 2D parameter space of binary initial conditions in a 2D, 3D or 4D MESA space, e.g., star_1_mass, star_2_mass (or mass ratio), period_days, metallicity. In the 3D and 4D cases the MESA grid will be sliced along the dimensions specified by the user.\n", "\n", "If you haven't done it already, export the environemnt variables." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "env: PATH_TO_POSYDON=/Users/simone/Google Drive/github/POSYDON-public/\n", "env: PATH_TO_POSYDON_DATA=/Volumes/T7/\n" ] } ], "source": [ "%env PATH_TO_POSYDON=/Users/simone/Google Drive/github/POSYDON-public/\n", "%env PATH_TO_POSYDON_DATA=/Volumes/T7/" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Any plotting parameter is passed to the ``plot2D`` method through the kwarg ``PLOT_PROPERTIES``. Note that you can save each plot to a given ``path_to_file`` by specifying the filename ``fname`." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Example: the HMS-HMS gird" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's start by loading the grid." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import os\n", "from posydon.config import PATH_TO_POSYDON_DATA\n", "from posydon.grids.psygrid import PSyGrid\n", "\n", "path_to_gird = os.path.join(PATH_TO_POSYDON_DATA, 'POSYDON_data/HMS-HMS/1e-01_Zsun.h5')\n", "grid = PSyGrid(path_to_gird)\n", "grid.load()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### MESA Termination Flags 1 and 2 Combied" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This plot summarise the binary evolutioary simulation. " ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "q = 0.7\n", "PLOT_PROPERTIES = {\n", " 'figsize': (4.5, 4.),\n", " 'show_fig' : True,\n", " 'close_fig' : True,\n", " #'path_to_file': './dirname/',\n", " #'fname': f'filename_q_{q}.png', # specify the filename if you want to save the figure\n", " 'title' : r'$q = %1.1f$'%q,\n", " 'log10_x' : True,\n", " 'log10_y' : True,\n", "}\n", "\n", "grid.plot2D('star_1_mass', 'period_days', None,\n", " termination_flag='combined_TF12',\n", " grid_3D=True, slice_3D_var_str='mass_ratio',\n", " slice_3D_var_range=(q-0.025,q+0.025),\n", " verbose=False, **PLOT_PROPERTIES)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### MESA Termination Flag 1" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This plot indicates why MESA stopped and allows to illustrata a final quantity." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "PLOT_PROPERTIES['figsize'] = (4.5,6.)\n", " \n", "grid.plot2D('star_1_mass', 'period_days', 'S2_surf_avg_omega_div_omega_crit',\n", " termination_flag='termination_flag_1',\n", " grid_3D=True, slice_3D_var_str='mass_ratio',\n", " slice_3D_var_range=(q-0.025,q+0.025),\n", " verbose=False, **PLOT_PROPERTIES)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### MESA Termination Flag 2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The termination flag 2 shows a summary of all mass transfer cases which\n", "occurred during the binaries' evolution." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "PLOT_PROPERTIES['figsize'] = (4.5,4.) # defualt\n", "\n", "grid.plot2D('star_1_mass', 'period_days', None,\n", " termination_flag='termination_flag_2',\n", " grid_3D=True, slice_3D_var_str='mass_ratio',\n", " slice_3D_var_range=(q-0.025,q+0.025),\n", " verbose=False, **PLOT_PROPERTIES)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### MESA Termination Flag 3 and 4" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The termination flag 3/ shows the final stellar state of star 1/2." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "grid.plot2D('star_1_mass', 'period_days', None,\n", " termination_flag='termination_flag_3',\n", " grid_3D=True, slice_3D_var_str='mass_ratio',\n", " slice_3D_var_range=(q-0.025,q+0.025),\n", " verbose=False, **PLOT_PROPERTIES)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "grid.plot2D('star_1_mass', 'period_days', None,\n", " termination_flag='termination_flag_4',\n", " grid_3D=True, slice_3D_var_str='mass_ratio',\n", " slice_3D_var_range=(q-0.025,q+0.025),\n", " verbose=False, **PLOT_PROPERTIES)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "One can plot all termination flags at once in a large subplot of panels with\n", "the option ``termination_flag='all'``.\n", "In order to fit all legends we suggest to increase the figure size and marker\n", "size to, e.g. ``(25,25)`` and ``30``, respectively." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Display Relative Change of a Final Quantity" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The relative change of any value stored within ``final_values`` can be\n", "displayed by adding the prefix ``relative_change_`` to the z-variable displayed\n", "as a colorbar. E.g. we can display the relative change of star_1_mass:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "PLOT_PROPERTIES['figsize'] = (4.5,6.)\n", "PLOT_PROPERTIES['colorbar'] = {'label' : r'$(M_\\mathrm{1,f}-M_\\mathrm{1,i})/M_\\mathrm{1,i}$',}\n", "\n", "grid.plot2D('star_1_mass', 'period_days', 'relative_change_star_1_mass',\n", " termination_flag='termination_flag_1',\n", " grid_3D=True, slice_3D_var_str='mass_ratio',\n", " slice_3D_var_range=(q-0.025,q+0.025),\n", " verbose=False, **PLOT_PROPERTIES)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Display Custom Quantities" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The user can plot custom quantities as a color map on termination flag 1.\n", "For example, we display the maximum surf_avg_omega_div_omega_crit during\n", "the history of star 2 as follows" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "PLOT_PROPERTIES['figsize'] = (4.5,6.)\n", "PLOT_PROPERTIES['colorbar'] = {'label' : r'$\\max(\\omega_\\mathrm{s}/\\omega_\\mathrm{s,crit})_1$'}\n", "\n", "max_omega = [max(grid[i].history2['surf_avg_omega_div_omega_crit'])\n", " if grid[i].history2 is not None else np.nan\n", " for i in range(len(grid.MESA_dirs))]\n", "\n", "grid.plot2D('star_1_mass', 'period_days', np.array(max_omega),\n", " termination_flag='termination_flag_1',\n", " grid_3D=True, slice_3D_var_str='mass_ratio',\n", " slice_3D_var_range=(q-0.025,q+0.025),\n", " verbose=False, **PLOT_PROPERTIES)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Dispaly Core Collapse Quantities" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Float quantities can be displayed using the z variable option as shown with termination flag 1." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAe0AAAIBCAYAAABk2uefAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguMCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy81sbWrAAAACXBIWXMAAA9hAAAPYQGoP6dpAABpKklEQVR4nO3de3gb5Zk28NsJ5OjEshwgBEwSmUC3/boLsl2apAFKZFjYdgvYjne7hVBIJFjaLZTEStpCoCfHTsphW0okB0pgu1tbSkq3hRYk0wIlKdgW6XY5JFQK1EBpAVtOQpykW+b7Q57RzGik0WFkzcj377pyxTOPZvSOxtGTmXmf960QBEEAERERmd6UUjeAiIiIssOkTUREZBFM2kRERBbBpE1ERGQRTNpEREQWwaRNRERkEUzaREREFsGkTUREZBEnlLoBROUgFoshGAzC4XAgFovB7XbDZrNpvjYYDMLlcgFA2tcQEWmp4IhoRIWrr6/H4OAggEQC93q9CAQCmq+tqKhIWdfZ2Yn29vaitpGIrI+3x4kKFIvFFMsOhwPhcFjztfF4HIFAAIIgSH+YsIkoW0zaRAUKh8Ow2+2KdXa7HZFIRPP1LS0t0s/BYFCxTESUCZ9p06TQ1dUFh8MBIHFl3NLSIi0XKh6Pa64fHh5OWSd/hh2PxzE8PGxYO4io/DFpU9nzer2oq6tDS0sL4vE4Fi9enHI7Oh6Po6OjI+N+ampqcrqNnS6Zy9vV2dmZ9f6IiJi0qazFYjH4/X6MjIwAAAYGBqSe23I2my3vBGqz2VKuqoeHhzP2DI/H4wiHw+w9TkQ5YdKmshaJRNDQ0CAth0IhNDU1pbyukCttl8sFn8+Xsl7+vmoDAwNM2ESUMyZtKnvyZ8bBYBChUCjlNYVcaaufScdiMTQ0NEhJORKJwGazKV4XiURSOq8REelh0qay1tLSgv7+fgSDQcRisaJ1/AoEAvB6vWhsbER/f7+iRrujowONjY0pV+nsgEZEueLgKjRphMNh+Hy+tIOeEBGZHeu0adJI9zybiMgqmLRpUvD7/QgGgxgcHNQtxSIiMiveHiciIrIIXmkTERFZBJM2ERGRRTBpExERWUTZ12l/8MEHeOuttzBnzhzNeYyJiEpFEAQcOnQICxYswJQpvIYifWWftN966y3U1taWuhlERGkNDQ3h9NNPL3UzyALKPmnPmTMHQOIfxdy5c0vcGiKipIMHD6K2tlb6niLSU/ZJW7wlPnfuXCZtIjIlPrqjbPEhChERkUUwaRMREVkEkzYREZFFMGkTERFZBJM2ERGRRTBpExERWQSTNhERkUUwaRMREVlE2Q+ukqunAnuwY1MPxg6NAQBmzpmJa77ehvNblhoeV8cKjU9k28s9znOTenxm9lRgD3bc3ouxQ0cxc84MXHNHG85v+bghcXkMQM5xIiNVCIIglLoRxXTw4EFUVVVhdHQ0qxHRrv3wTRh65U3FutoPnYYHXrq7KHF5rND4RLe93OM8N8rjM7NrP3Izhl55S1qu/dACPPDiXYbE1bFc45nk+v1ExNvjKuKVRrp1RseNXJ7otpd7nOcmdZ1ZiVe5xVhWx3KNExmJSZuIiMgimLRVZs6ZmXGd0XEjlye67eUe57lJXWdWM+fMKNqyOpZrnMhITNoq13y9DbUfOg3zTrNj3ml21H7oNFzz9baixNWxQuMT2fZyj/PcpB6fmV1zRxtqP7RgvO0LcM0dbYbF5bF84kRGYkc0IqIS4fcT5YpX2kRERBbBpE1ERGQRHFxFhQN4MM5zw8FVOLgKmRWfaatwAA/GtWKFxs12bLnGzY6Dq9BkwdvjKhzAg/FiLJvt2HKNmx0HV6HJgklbhbXAjBdj2WzHlmvc7FinTZMFk7YKa4EZ57lhnTbrtMms+EybiKhE+P1EueKVNhERkUUwaRMREVkE67RVWAvMOM+N9eq0nw7+BjvuSNZZr759Fc5v/rghcXkMQM5xIiPxmbYKa4EZ14oVGjfbseUaN7vrPvrllDrr+393pyFxdSzXeCZ8pk254u1xFdYCM16MZbMdW65xs2OdNk0WTNpEREQWwaStwgE8GC/GstmOLde42XFwFZosmLRVOIAH4zw31htcZfXtqxSDo6y+fZVhcXksnziRkdgRjYioRPj9RLnilTYREZFFsE5bhbXApa8FjsfjsNlsac9RvnGem3Kv0w5i7PBRzKycgdW3t+L85vMMictjAHKOExmJt8dVWAtc2lrgrVu3Yv369diyZQvWrVsHtULiPDflXKe9DkP7ZHXWZy/A/b/bakhcHcs1nglvj1OueHtchbXApYuLCRcA1q9fj61blV96hcZ5bvKPm514lVuMZXUs1ziRkZi0yRTi8biUcEXr169HPB43JE5EVA6YtFVYC1yauM1mw5YtWxSxLVu2SM+mC43n0z6eGwvVaVfOKNqyOpZrnMhITNoqrAUuXXzdunVS4tV6Jl1onOemnOu0W1F79nid9dkLsPr2VsPi8lg+cSIjsSMamU6xeo8TmQ2/nyhXvNIm09FLuIXGiYisinXaKqzTzq5WV+tqttS1xJP53Ez6Ou2dz+GhrwcxdngMMytnYvWmFqy48jxD4vIYgJzjREbi7XEV1mnr1+qmq4UudS3xZD43k71Oe83frU+ps97+2y2GxNWxXOOZ8PY45Yq3x1VYp50+DmSuhS51LfFkPjes0x4r2rI6lmucyEhM2pQ11kITEZUWk7YK67TTx/VqoUtdSzyZzw3rtGcWbVkdyzVOZCQmbRXWaWeu1c1UC13qWuLJfG4mfZ32ppbxWunqRJ30phbD4vJYPnEiI7EjGuWFtdBEheP3E+XKEiVf4XAYQCJR9Pf3o62tDU6ns8StmtyYsImIJp4lbo+3trbCbrejpaUFdXV1aG3lEIFERDT5WOJKOxAIKK6si3mVxwE8GOe5sejgKt/YJX32q29rxoorP5Z9fNfzeOibOzF26ChmzpmB1bc2Y8UVH0vZFkDK9vJtE3Hl9kRGstwz7aamJrS2tsLtdmvGjx07hmPHjknLBw8eRG1tLQdXYZznppwHVznHmzo4yt7O7ONOL4b2/VEWPxXbI52a26q3V2+r3j4TPtOmXFni9jgARCIReL1eNDU1pU3YANDR0YGqqirpT21tbU7vwwE8GC/GstmOLde42RV+ro6mXdb/7I5qxFPXERnBMknb6XRi48aNiEajCAaDaV+3ceNGjI6OSn+GhoZyeh/WAjNejGWzHVuucbMr/FzNSLus/9lpzKetsY7ICJZJ2kDiWXZraytaW1vTjsI1ffp0zJ07V/EnF6wFZpznxoJ12rc1J2qlF4zXSd/WnFv81mbUnn3qePxUrL61WXNbre3l22ptT2Qk0z/TDofDaG1txcjICAAgFouhrq4Og4ODWZV98ZkREZkVv58oV6a/0rbb7XC5XNJyJBKBzWZjnTYREU06pi/5cjqdaGtrg9/vBwCEQiEMDg6WuFVEREQTz/S3xwuV1+2nV18FlixJ/i3DWuDJEee5sVid9q7n8dA3d2Hs8FHMrBTrpBuzj/+4Hw9/68dS/OqvXYEVlzemxADkHM+Et8cpV0zaaq++CnzkI8DUqcBf/wq8+KIicbMWePLEeW4sVKft3ICh/bI667NOxfbI5qzjaxu+khLvHvi2ZizXeCZM2pQr0z/TnnBLliQS9tGjib9VV9qsBZ48cZ4bC9VpHz5atGV1LNc4kZGYtNVefTVxhT1jRuLvV18tdYuIiIgAMGmnWrIkcUt8bCzl1jjAATwmU5znxkKDq1TOKNqyOpZrnMhITNpaxEStStgAB/CYLHGeG4sNrnJrM2rPGh8c5azUwU304ld/7QpF/OqvXaEZyydOZCR2RCMiKhF+P1GueKVNRERkEaYfXGWisRaYcZ4bC9ZpZ6izzjr+7UeS8a9egRWXNyRijwzg4Y5HMHb4GABgZuV0XP2Vy7HiM/L4T5R12l+5HCs+Uz9Rh0+TCG+Pq7AWmHGtWKFxsx1brnGzy1RnnVW88aup8f5vJWLnfQ1D+99WvF/tWfPR/dw3x+O3YuhVVXzJfHQ/9w3ddvP2OOWKt8dVWAvMeDGWzXZsucbNrrh12sc03u+Y5mszrSMyApM2ERGRRTBpq7AWmPFiLJvt2HKNm11x67Sna7zfdM3XZlpHZAQmbRXWAjPOc2O9Ou1MddZZxb+qin9VVof9lctRe9Z8WR32fFz9lcuV8SXzMe9UG+adakPtEmWcyEjsiEZEVCL8fqJc8UqbiIjIIlinrcJaYMZ5bixYp73reTz0zZ0YO3QUM+eI82V/LBnf+Rwe+noQY4fHMLNyJlZvasGKK89LxjPNp61Th/3MTwbxcOdPcWQ8PqtyBq7a8Gms+EfWaZPxeHtchbXAjGvFCo2b7dhyjZvdGqcXQ/tkddZnn4rtkc5k/O/WY2jfW7L4Amz/7RZpOeN82jp12O5lt2vG/btv1203b49Trnh7XIW1wIwXY9lsx5Zr3OzGDh3NvHx4TGc5//m0j2jEtdYRGYFJm4iIyCKYtFVYC8x4MZbNdmy5xs1u5pwZmZcrZ+os5z+f9iyNuNY6IiMwaauwFphxnhvr1WmvvrUZtWeP11mfrTGf9qYW1J69APNOq0bt2QuwelOLIp5xPm2dOuyrNnwatUvmo+ZUG2rG41dt+HRRj5cmL3ZEIyIqEX4/Ua54pU1ERGQRTNo06cTj8YLiRESlwsFVVDiAR/nGAWDr1q1Yv349tmzZgnXr1qWc/0zxyXxuzO6pwB7suL1XGlzlmjvacH7Lx5XxDOfu6eBvsOOO5Parb1+F85sT2z+98zk89I1dis9m9W3NWHFlYvCWp38ygIc3/7dy8JWNn+HgKlQUfKatwgE8yjcuJmSROjHrxSfzuTG7az9yM4ZekQ2e8qEFeODFu5JxnXN33Ue/nLL9/b+7EwCw5hyvYmAWYHxwlr2JwVvWLr1Ne/CVPV/XbTefaVOueHtchQN4lGc8Ho8rEjIArF+/XroVrhfX2v9kOjdmpzu4iu65Sr+97menM/gKkZGYtGlSsNls2LJli2Ldli1bYLPZsooTEZkBk7YKB/Ao3/i6deukxKz1zFovPpnPjdnpDq6ie67Sb6/72ekMvkJkJCZtFQ7gUb5xIJGYR0ZGNDuh6cUn87kxu2vuaEPthxaMt30Brrkjt39Xq29fpdh+9e2rkrHbmhMDsyyoHh+8ZQFW35YcvOXqjZ9JHXxl42eKe8A0abEjGhFRifD7iXLFK20ynULrqAuts2YdNxGZFeu0VVinbd06ar14Keu4S/3ZToo67WL+uxqvAQeQUgeuV8dNZCTeHldhnbZ166hzrbM2+v3L+dyYXVH/XalqwBPxZB24Xh13Jrw9Trni7XEV1mmXJl5oHXU+ddZGvr/W/s3y2RoRN7vi/rvSqMPOoY6byEhM2mQKhdZRF1pnzTpuIrICJm0V1mmXLl5oHXWuddZGv385nxuzK+6/K4067BzquImMxKStwjpt69ZR68VLWcdd6s+27Ou0i/nvSlYDrlUHrlfHTWQkdkQjIioRfj9RrnilTUREZBGs01ZhnXbxa33j8XjGDlzFihe7fVY+N6zTzv/cyefiTsSV83ETGSnn2+OvvfYaAoEAQqEQRkZGpPV2ux1NTU1oaWnBokWLjG5n3linbZ44UNzBU/TixW6flc8N67TzP3fqubgT8eR83Jnw9jjlKqcr7Q0bNqCiogKrVq1KqVkFgBdeeAHbtm1DRUUFOjo6DGvkRGKddvHi8sFJxL/TDV5SjHix22flc2P1WuPS/rvKXMdNZKSsn2lv2bIFGzduREdHB84991zN15x77rnYvHkzNmzYgI0bNxrWSLK+Yg+eks3gJ8VsHxHRRMg6aa9fvx5VVVVZvbaqqsqyV9qs0y5OvNiDp2Qz+Ekx26e1f7N89kbEza60/64y13ETGYm9x1VYp128eLEHT9GLF7t9Vj43rNPO/9zJ5+LWmo+byEh512lv2LABZ555JlpbW9Ha2orq6mq0tbXhyiuvNLqNBWFHD/MpVe/xiWofUbb4/US5yrvkq7GxEc3NzdiyZQvq6+vR0dGB7u5uI9smiUQiCIfDAID+/n50d3fzS9PC9M5dseN6ir1/omz99a9/xV/+8pdSN4OK7MQTT8TUqVOzem3eSbu6uhoA0NvbKyVru92e7+4yCofDaG9vBwB0dXVh5cqVGBwcLMp7kTEyXY2a/UqbyAwOHz6MN954A2U+aCUBqKiowOmnn47Kykrd1+adtKPRKARBQDQaxTnnnIMDBw4o6raNEolE0NHRISXtlpYWeL1exGIxOBwOw9+Pg6sUPgBHplrmUtZpT+ZzU+6Dr5Tb4Cp//etf8cYbb2DWrFk46aSTUFFRkfe+yNwEQcA777yDN954A0uWLNG94s77mfbo6Cj8fj9aWlpgt9vR0dGBefPmpZ1ooRDBYBAtLS0AEkm8vr4eIyMjmldTx44dw7Fjx6TlgwcPora2loOrTEAcUNYyA8oOW5liExGfzOem3AdfKbfBVY4ePYoDBw5g0aJFmDnTOr34KT9jY2N47bXXsHjxYsyYkbnyIO/e45s3b8b69euxePFiVFVVYfPmzUVJ2ACkhA0APT09cLlcaW9/dnR0oKqqSvpTW1ub03txcJX845lqmc1Qpz2Zz025D75SroOr8Ap7csjlPOedtAOBALZv3469e/fmu4ucxeNxBINBBAKBtK/ZuHEjRkdHpT9DQ0M5vQfrtPOPZ6plNnudtla8nM5Nuddxs05bWzAYRGtrK/x+PzweD+rq6uD3+9HV1YWmpibD36+urs7U+4zFYujq6kIwGERTUxMikYhh+54oeSftwcFBrFmzBlVVVdi1axd27dplZLs0eb1ehEKhjJ2Mpk+fjrlz5yr+5IJ12oXPh52ultnsddrlfG7KvY6bddrahoeHEQgE4Ha70draCofDAbfbjfb29qIk7VAoVND2fr/f8H3KeTweuN1utLS0wOl0Ynh42LB9TxjBAH6/X6irqxNWrVol7Ny5Uzhw4IARu1Xo7OwUotGoIAiCMDIyIoyMjGS13ejoqABAGB0dNbxNlF6m86N37oodJzKLdN9PY2NjwksvvSSMjY0VtP9QKKT42eVyacbMwul0Ttj+29vbTfMZ5HK+877Sbmtrww033ICamhrEYjGEQiH09PTgyiuvxMjICJ588knD/mMRDAbhdDrhcDgQj8fR29vLkh6Ty3R+zF6nTVQuXC5XxpjX60UwGERXV5c0HkZdXR3C4TCampoQj8cRiURQXV2NcDgs3W4XX+vxeKRbzJFIBHV1dWm3kfN6vQiHw1IlEJAo7Y3H4/D7/dK4HPJ9ApBubYt/xNdkei+RfP/BYDDl1rhWm8T1fr9f+qz8fj8ikQiCwaD0GUykvEu+BgcHsWHDBtx3330psZGREcMmUojFYiknwWazwe12G7J/IqLJyO/3o6amRuro29TUJD1+tNvtCAQCsNlscDqdaGhogN1uh8vlQiwWk8bOsNvt8Pl88Pl80oUVAM1t5FVANTU10n8oOjs74fP5pA7G8u92+T7FW+fiPjweDxwOh+57idT77+/vV8S12hSJRBCLxdDZ2Qm/34/h4WG43W54vV7U1dXB5XIVbXySdPJO2p2dnWhubpaW+/r6MDo6iiuvvBK9vb1YtcqYZzoOh2NCBxdgnTbjPDes0869TjuIscPjddqVM7D69lac33zeRB1+XgYHB2Gz2aSr2s7OTinmdDpTXi+/g5Xt3axMr/P7/YjH41k/Vx4cHFQ8hxfvCIhtNeIOm7pN4t3deDyOwcFB6ap648aN8Hq96OzshNPpzNg52mh53x5vbm7Grl27sHXrVmzduhWRSAQ9PT0AgG3btuGiiy4yrJETacemHgy98ibefXMY7745jKFX3sSDt/UUJa6OFRqfyLaXe5znJrd4qZX03N0RxNC+t5LxfW9hx+0T9yWer/r6egCJK9BMt9FF8ivKbK8utV7n9/vx3nvvwe12S+8rv1UtVglptVd+2zoajSr+c1HIFW+6NtlsNul2uXg3AUiMBOrz+RCNRmG32xXtKra8k/aGDRvwxBNP4Pnnn8e7776LaDQ64ff2i4F12owXY9lsx2Z0vNRKeu4Oa9Rpa6wrpXA4jEAgIN06jsfjcLvdqKmpkZ7xApBuB8t7ccvXxeNxqf9SPB5HT08PBgYGEIvFpNf19vZm3KahoQHxeBzhcFi6ohWTnsfjgd/vl66a5fsUb2uLz5Xr6+vhcrkyvpec/HVie8Ur5ExtCoVCKXceotGo9Fy9rq6uKKNzppP37fG6ujqsXbsWBw4cQEVFBRYtWmRo5zMiIjJGuqtpcXhoOfVw1E6nE9FoVFqWl2DJb6kDULwu3TZOpxM+n0/RNpG6r5L6vbXam6l96tfJjy3bNomd8kSBQCDluCdS3lfaDocDr7/+OhYvXqx5K8OqOLgK48VYNtuxGR0vtZKeu0qNwVU01pH1eL1e9PX1IRQKIRQKSR3SSinvpB2Px+FwOHDw4EG8++67uOSSSxT/U7EqDq7COM8NB1fJbXCVVtSeLRtc5ewFWH27dtkRWYvH40Fvb690KzwcDpe8cinvCUPU+vr60NDQgKqqKiN2ZxhOMk9EZqU3YUg2E0iQ9eVyvvO+0lZbuXJlUabmJCIiooSsO6JlMzFIR0eHVPZlVawFZjzfc/P0rufx0Dd3Yezw0USt7q3NWHFFo+mOrRjxUitpnfbO5/DQ14MYOzwer5yJ1ZtasOJKc9dpkzVlfXvcbrejsbFRGuhkZGQEgiBItXGxWAzV1dUpo8yUWq63xzmfNuNasWzia5wbMLT/j8n4Wadie2SzKY/N6HiplfLf1Zq/W4+hfar5tM9egO2/Vc46p4W3xwnI7XxnfaXd2dmJtWvXSss7d+5UjIgmrrM61gIznveyqjZXvmy2YzM6XmqlrdPWiGusIzJC1s+05Qkb0J60u7q6uvAWERGRqUQiEbS2tqK+vl4a9jQej6O1tRWtra2GzTWhJRwOp80t6glFMpEfgzinuNfrVYzGJn9NulLmcDgsDUgjH5hGa/tgMCiNU26UvAdXef7553HllVcq1oVCIcsOXypiLTDjeS+ranPly2Y7NqPjpVbaOu2ZAJSdcBPryofT6URTUxMGBwelgUdsNhs2btwo/ZwPv9+vW0LlcrnSjjgmn1BEj9PpRFtbG0KhkPSe8XgcixcvljpRy49TPeGI2N5oNKoYXEWcAUwch1y9fUtLC2pqarJqYzYKmprzzDPPRFtbG9ra2rBkyRK0tZmnbjNfrAVmPN9zs/rWZtSedSrmLahG7VmnYvWtzZrblvrYWKdtcJ32ppbxOu1qzDutOlGnvSn1C38iFfPKV85msxU0UYcZxvbI5bPyeDwpo6G53W5paFStfcfjcbhcLuPOSSETd8fjccHv9wt+v1+IxWKF7Kpo0k0yT0RUaum+n8bGxoSXXnpJGBsby3mfW7ZsEQAIW7ZsMaqZgiAIgs/nE9xut2JdNBoVotGoIAiCMDg4KNhsNiEUCgmBQEBoaWmRXjc4OCgEAgEhFApJ+wiFQoLD4RB8Pp8QCoUEQRCE9vZ2IRQKCe3t7dJ+BUEQnE6n9Dp1zOVyCSMjI9L2gUBA6OzsFAYHB1OOIRAICC6XSwiFQoLP5xPa29tTXqd1nPL2anE6nUIgEEjZ3ufzabZDLZfznfftcQCoqqpKedZNRESlsXXrVqxfvx4ApL/XrVs3Ie+daV7rnp6elPmntebP1prTWrRq1SrYbDa4XC7U1dUpxhsH0s8PruZwOKT2BQKBnCa6ynYa0YGBAfj9foRCITQ0NGS9/2xklbRHR0fR0dGBiooKtLW14ZxzzjG0EWZi9lpgy9dp396LsUPj8w7PmYFr7mjD+S0fNy5u5nNT7GMv4LOR15gDSKkzN/uc0SWt0971PB765k7FZ5/47D42UYcPIHErVkzUovXr12PNmjWGzDVtt9tTklYsFktJSlrvlcv80+nm2Zbvd3h4GPF4XLEu0/zgWhwOB5qamlL+c5CuTatWrZJud6uPMRaLKWYCa2hoUEzzaaSsnmlXVVVh8+bN6OjoQDQaxfXXX4+tW7fi4MGDhjeo1DhncxHjt/di6BXZvMOvvIUHNxkYN/O5KfaxF/jZPPTNXRja/0e8+9YI3n1rBEP7/4gd30iWcJp9zuhS/rt66Js7MbRP9tntU352E8Vms2HLFmVt+JYtWwxJ2ACkq1O5WCyWsn+tea0zzT8tzp+dzTzb4t92uz3lfXOdHxxIfGYDAwPSsaQj/ofA5/PB6/UqYl1dXXC73Zod4hwOh+HTduZ8e7y5uRnNzc0YHR2Fz+dDLBZDU1NTSk9yqzJ9LbCl67Q15h0+dNTAuJnPTbGPvcDPRmdOaLPPGV3af1eZP/uJJN4KX79+PbZs2WLorXGbzYbu7m54vV40NjZieHhYkRzl81W73W6EQiHpdrY4/zQAxfzT4vzZYi/wwcFB6UoZSF7BulwuhMNh2Gw2acYt9Xu2t7ejq6sLfr8fdrs9JVnGYjH09PQgFoshHA7D5XLB7XYjEAjA7/dLrw+FQtKt/eHhYfh8PulugtvtRjAYRFdXFxwOB4aHh2Gz2aQpQ2OxmGJ7rR7ohcr7mXZVVZV0K+aFF17Ahg0bJsXtcyIiM1u3bp1ht8TVnE6n4jawOpbtvNsidblXujmt5dvL12cz37bI4XBo3pZXP/dWv0bdxkyJON17GKmgjmiic889F+eeey6AxKho27Ztw5lnnjlhHSCMZPpaYEvXaWvMOyxbV3jczOem2Mde4GejMye02eeMLu2/q8yffSkUI2GTORg2y5eoubkZ27Zts2yvcrPXAlu6TvuONtR+SDbv8IcW4Jo7DIyb+dwU+9gL/GzkNeZadeZmnzO6pHXatzaj9mzZZ3e28rMjMpJh82mbFefTJiKz4oQhBBRpwpBsdHd3IxKJoL6+HmvWrDFy10RERJOeYbfHxVKDlpYWCIKArVu3GrVrIqKsTNTwnUSlYtiVtsPhkKbqXLlyJfr6+oza9YQq58FVJK++CixZkvx7go49MUCHcgCQ1bevwvnNEzjASJZxdSyb+NM7n8ND39glnZvVtzVjxZWJATae+dlePHznYzhy+BgAYFbldFx1y2VY8Q/njMdfwMPf+TmOjJdRzaqcgavWqeJbH0uNfyrRAfSZn76Ah7c+qtz/+n9Ixv87goe3/FQZb/80Vnw60RP46Z8M4OHN/60YPOXqjZ/Bin9M1L4+/cgAHu54BGPj28+snI6rv3I5VnzG2NGeCiGOBqZV6iT/3VP/3gGFDYzz9I/78fC3fqz87L52BVZc3jgRh02TjGHPtLdv3664Jb5r1y5T1G7n+kxbb8J7o+PyWKFxvfcGkEjUH/kIMHUq8Ne/Ai++KCXuYh/7dR/9MoZeeUsVX4D7f3dnYvuP3KwZf+DFu0oSl8eyia85x4uhfbL42QuwfW+iVMV90bcx9Ps/K9/7zJPhf/Irifgnv42h3/9JFT8F/l+Oxy/8lnb8V19NxC/4pnb8qa8l4ivuwNCrqviSU+B/ZhMAYO3S2zD06tuq+Hx07/l6In7e1zC0XxU/az66n/smzEA+fCeAlMSt/t2T/94BOv+udH5v1jZ8BUP7/6iMn3Uquge+rdtuPtMmILfzXfDt8TPPPBOXXHIJtm3bhsbGRjQ0NKCxsRH9/f2F7rokynlwFQCJBD11KnD0aOJv2ZW29QdXMTae+3L6cyNe4crJ1x3RGKhEvk4/rrf/zHH9wVVSt9daVwrphu+U3yov5Nzp/t6YfOAZI2QzF3Wh+6+urs7r8UYsFlPM822kTPtWz+UtnzM7Fouhq6sLra3GV1gUfHs8EAhINdrloJzrtAEkrrT/+ldgxozE37Jb5Nav0zY2nvvyTMjnVZYf+6zK6XhP9d6zKqfLfp6B9zCqis/IIa63/8xx/Trt6Rrx1HWlIA7fqb7SltcqZ3futJd1f29MXsNuhGzmoi50//lOrCFOAFIMmfatnstbPkiLOM663lzh+Sj4SltM2G1tbWUxFnk512kDSCToF18ExsYUt8Yn4thX374qpZZ49e2rktuXupZZFlfHsomvvq05Ucu8YHxO5duStbpX3XIZas88GTXzq1Azvwq1Z56Mq265LBlfdxlqzzxFFj8FV63LIb7+H8bjNtTMtyXi6/8hGW//NGqXnIKaU22oOdWG2iWn4Kr2T0vxqzd+BrVL5mPeqTbMO9WG2iXzcfXGzyTjX7kctWfNl9Vxz8fVX7kcZrFu3TqpM6zWM23575769w4orMb+6q9dkVLjfvXXriji0ZoHO/4lyRN4uvHRjWDYM+2+vj40NjZKz2Ws+kybiKxLawYmM7PSM+1gMChNmBGLxRCNRtHW1qYY1lQclzwWi8HlcsHpdMLr9UrTZHo8Him5iWN7A4lJRnw+nzRNZk9Pj2I4UK39dnV1wWazSdt6vd60V8Xq7YFEh+lAIIB4PJ7yftnuu6mpCYFAALFYDK2trRgcHJR+9ng8aGlpgcPh0Gy/XEnqtL1eLyoqKgAA1dXVOHDggCmSNhFNHlZK2FaUaS7qdPNZa82RHYlEpEQZi8WkmbPECUbkE25o7dfj8SAajUpjlWvNm63XrnRzfweDwaz3LZLfKhd/drvdsNlsWc/znS3DknZ3d7fi2fYLL7xg1K6JiAxhtStxs9KaizrTfNbqObJ7enrQ1NQk7SsQCKCpqUlzGkut/fp8PmkqTiDzf9YytUtru1AolPW+s5HrPN96DEva6s5oVu2cxjrtYtdpBxX1rKtvb8X5zefJ4unruCeyzluzDvuJ/8XD3+/D2PvHMXP2NFx940qsaPp/yfjjv8PD9/Zh7P1jmDl7Oq7+ggsrLk7En/nF7/Dw98I48v54nfTs6bjqiy6suOSjifjP/wcP/3tIGf/SxVjx97L43U8o4zddjBWX/m0i/thv8fA9TyjrsG+6JBl/dC8evvPnyu1vuRQrLjsnES+wDtwK8q3j1q3T1vm9Llfquajr6+sRjUYVc2GLc2S3t7cjEomgv78fkUgENTU1itm5xGfjWnNxa+23qalJUaGU6dm61vYirffLZd/ZyPT++TDsmfaBAwfg8XgwPDyMiooKdHd3m2KKTtZpm6lOe52ijhlI1DLf/7ut4/HMddwTXeetrsNee/k9GDrwbjK+eB66H/lSMv6Pd2PowDuy+Eno/u+bAADuT92FoVgyBgC1jpPg/9nNifil39GO//yWRPySrRiKqeq8HSfD//i68fgWDEVV8bqT4X880aPavbJDO963MREvsA7c7Aqp49b7vdH7vc7EKs+0xVvYsVgMnZ2dUgJqampCa2urdNtc/ixYvGr2+XxS6ZPP50NbWxtaWlrg9XpRU1MDh8OBo0ePYtOmTfB4PHC73WhtbZXm77bZbCn7FZ9py9/DZrOlnRZTq13ic+d076e3b7EMzuPxwOVyobW1FV6vFw0NDdJ6capQrfbLleSZdl9fH5544glp2SxJO1eTqk57xoyJrdPWqwU2e532+8d1lo+lXT6iiqnXFRzXq9PW3b6wOnAzS1fHLZ9zOtO5Z5129nNRa81nnc0c2QDwuc99Lqf9ytdlmuM63fbp5v7Odt/qubzT/Zzu/fNl2Njj6mcR8kJzMhGtOm2iMibWccup67iJrCKnK+29e/ciFotp9gqPRqNSJw/xnv1FF11kTCsnUNkPriLWaWs80y76sesN4GH2wVVmT9NZnp52edZsjcFNjIxXTsd7f1LFK3PZvrDBW8xOvBWe7pl2pnPPwVXITLK+0u7u7obT6URLSwtqamrw+uuvK+Jr166FIAjo7e2FzWZL+UdhFWU/uAqQTNSyhD0Rx7769tbE4CNi/OwFWH17qyyeefCViRycRWvwlKtvXInaxfMw7+S5qF08D1ffuFIZ/4ILtYtPGo+fhKu/kLwVeNUXXah1nISaU+ai5pS5qHWchKu+KIt/6eLU+JcuTsZvuhi1jpNRc0oVak6pQq3jZFx1kzx+CWrrZPG6k3HVTZck47dcmoiLg7PUnYyrbrk0GS9w8BYrWLduHUZGRjS/mzINvqL3e6P3e01kpKw7oq1atQq9vb0AgHA4jC1btuDxxx8vauOMwMFViMisrNIRjYqrKB3RGhuT08y5XC5UVFRg7969luxsRkREZEVZJ+3q6mrF8sqVK7Fr166yS9rlXKdd6vjTO5/DQ18PYuzweLxyJlZvasGKK+V12np13MWr83667yXs8P8KY0eOYeas6VjtuRDnX/Th5Gf/q5fx4ANP48iR45g1axquufZ8XHDh3yTjT76EHdufwtiR45g5axquWXshzv9kIv50+EU8tO2XGDsyPh/1rOlYff0nscL1kUQ89CIeuu9JqUf6zNnTsPqGi7CiaTwuqxEX4/I6cb24Ht068gLrwEtN3r5C2qY3OAsHb6Fiy/r2+A033ID77rtPsc4s44tnwjpt88TX/N16zXrW7b9N9OzVr+Mubp33dW3fx9DrsjrshfNwf8+/Ssufv9qHP/wh2R3rjDNq8IOHksM4XvvZ+zD0+nuy7WvwwH/ekDj2lu9h6LXkvgGgdtE8bA9+IRG/8ruKGnAgUQe+fdcXAaTWiItxsU5cLy5JM7CObh15gXXgpaZuXz5tyzQ4SzZxLVa5PR6JRNDR0ZFSp51OXV1dStlTLnGxBlocTSxdWzweD+LxON577z3FOOjy12zcuFGzbCscDiMWi8Fut2N4eBh2u116nXp7AOjv75eGODVaUW6P+3w++P1+qYi+qakJsVhM8ZpyuF1eznXaJY8f1ogflsf15nQucp33EVWdtWr5yJHjGZfHMiyr96Vep675Vq8rNA4g48A6xa4DLzV1W3Jtm3xwFvFveWLWi1ud0+lEU1MTBgcHs5oGU1737Pf7U6ao1Bt7Wz3tpTqmN02ovL1aCdvv9yMajaYMtSpOqam1vdgJu9Sy7j3e2dmJ4eFhbNu2DVVVVfj2t7+N9vZ21NTU4JJLLsHWrVvR0dFRzLYSUSHkA+tMnZpSPUDa0g3OIg5vqRefjOQJVz64ilbcKLl83h6PJ2VwF7fbDb/fn3IxKu47Ho/D5XKV/LxmnbTXr1+PqqoqrFy5Eps3b8bAwAA++OAD9Pb2wuVy4YknnkAwGCxmWydEOddplzxeqRGvlMd16riLXec9S1VnrVqeNWtaxuWZGZbV+1KvU9d8q9cVGgeQcWCdWbNT26euA0+Jq+rAM21fauq25NI2vcFZJuPgLZFIBNXV1QiHwwgGg9IwpWKsrq4O8Xgc4XAY8Xgcfr9fmjBDHgcSM0SGw2FpmNRsxWIxhMNh+P1+dHR0YHBwMKvtwuFw2v80OBwOzbHBe3t7EYvF4HQ6S35eCx4RbeXKlVi/fj2eeOIJbN682Yg2lVQ512mXOr56U8t4PWs15p1Wnahn3ZS8daVfx13cOu/VngtRu3Ae5p00B7UL52G150LlZ3/t+TjjjBrMmzcHZ5xRg2uuPV8ZX3shahfWjG9fg2vWJrdfff0nUbtoHuadPAfzTp6D2kXzsPr6TybjN1wk1YCLdeCrb0gOTiSvEdeqE9eLA0gOrDM2prg1DmRRR15gHXipyduXT9vWrVsnJWatZ9Z68Ym0bds2LFq0CNu2bSvaezidTmlqy5aWFjQ2NkoXbfJb2y6XCzabDW63W7qtrr71LU7dKc4ali3xUa3L5UIkEskpmYqzjekZGBiA3+8vaCpNwwkGisViRu7OEKOjowIAYXR0tNRNISKLGxkZKSiulu77aWxsTHjppZeEsbGxHFsoCAsXLhQACAsXLsx520x8Pp/gdrulZZfLJUSjUUEQBKGzs1MIBAKKmPhZOJ3OlH3J452dnYLP5xM6OzuFlpYWzdeoBQIBRVs6OzsVy1rtFdeNjIwIADT3bbPZpGOSbx+NRqX1xZDL+c7qSnt0dBSvvfaa7usWL14s/Xzw4EEcPHgwr/9IqEUiEcX8pkREpaB3NVfqW6cAsGHDBixcuBAbNmwo+ntpTW2pJR6Paz4+FafulF+J5zN1pXqa0HTE3ug+nw9er1cR6+rqgtvt1rx17nA4ivIcPh9Z9R6vqqpCb28vampqsirx2rlzJ0ZGRrBmzZqCGxgMBtM+ZygG1mkXsU571/N46Ju7lHXWtzZjxRWNsvhOZR31rc1YccXHEvGdz+Ghb+xS7H/1bc1YcaUsnqEO/JfP7sP9//UsjhxN9KqeNWMarvvscnxy2dkAgL7f7EN3YDeOHD2OWTOmwb1qOS467yzps//ls/tw/3/+GmNjxzFz5jSs+ewncOHyszP9OiXP269exoM/eEbqcS7VeV/woUT8yZex4/6npB7nM2dNwzVrLpDqvOU14FJcVgf+1JMvYUe3RvwisU48WYOeiI/Xoa9M1KEXWieuNx+42T22fz/u3r0b7x8/jtnTpuHmZctw6VlnpbzOCnXa119/Pa6//npD9xmJRBAKhaTnyHa7HbFYTOoZHgqFYLPZ4HK5EIvFEIvF0NvbC7fbDY/HA7/fryjHEuMNDQ0YHByUnncDyaQr7l89Q1YsFkNPT4/UFpfLBbfbjUAgIFU4AZDaGwwGMTw8DJ/Ph4aGBgCJTmfBYFCagnN4eBg2m016r1gspthebxaxiZTTfNovvPACOjo6UFdXh8bGRjgcDthsNsTjccRiMTz//PPSvNpGTxZSUVGBHJoqYZ22eeJrnBswtP+PyvhZp2J7ZPN43Iuhfar42adieyTxnGvNOV7tOu+943GdOvDPfeEBvP6m8lnWwtPs+I/vXQsA+KdbfoDX30rGFy6w40ff+by0/Lkb78cf3kjGzzjdjv+49zrF/tLVQX9+tV9R4w2M13nvSJSsXPsv2xQ13sB4nfcPE1++6hpwKT5eB37tP6eJ/1cift2q72vWid/fm6hDL7ROXG8+cLO7+MEHEZU956yz2/HENdcoXjOZ67SpuIo2n/a5556L3t5ejI6Oore3F88//7z0P8u6ujp4PB7FLfJSOHbsGI4dS9Zg5nqLnnXaRYwXXGddWB24eIUtJ1+njquXx8YyL2esgz6i8d6KOm6NOmtD48WtEzd7nbae948fz7g82eu0yTxyStqiqqoqrF271ui2GKKjowN33HFHqZtBk5G8DnrGDNZBl4l0ddhr1qyR7jRmihMZqeCSLwB47bXXsGrVKjQ0NODMM8/EkiVL0NbWZlhHtFxs3LgRo6Oj0p+hoaGctmeddhHjBddZF1YHPmtGai2zfJ06rl6eOTPzcsY66Fka762o49aoszY0Xtw6cbPXaeuZPW1a2mXWaZOZGJK0g8Egent7MTAwgN///vd49dVX0dPTI03lOZGmT5+OuXPnKv7kgnXaRazTvrUZtWedinkLqjFvQTVqzzoVq29tVsbPlsXPVsVva07UaUvxBVh9myyuUwd+3WeXY+FpdpxUU4mTaiqx8DQ7rvvscinuXrUcCxfYcZK9EgsX2OFelYwBwJrPfgJnnJ7Y/ozT7Vjz2U8o4pnqoOU13lp13tesuUCq8ZbqvNdckIzLasC16sD14qs9F6bWicvq0AutE9ebD9zsbl62DHV2O+ZXVqLObsfNy5Yp4laq06byllNHtHT6+vqwcuXKrNfnY6I6ohERpWN073F2RCOgiB3R0hG73tfV1QGANOuKuGwUM5RTENHkZYU6bSpvhtweX7t2LdxuNwRBwMjICKqqqrBq1SpD6rTFMWmBRCezchjfnIisSW+yiFJPJlEs4lSZ8guxeDyO1tZWtLa2lu1x64nFYqivr1fUmRebIbfHzSyv2+Npam0Baw+u8nToRTy07UnFAByrb7gIK1wfMfzYNN//kQE83PETxeAqV3/lcqz4TGK0u6d/3I+Hv/2IMv7VK7Di8sSACOHn98O/a7dicBRP8zKsbEwMgvHE3v249xd78P6xRHz29Gm48dKluPjvxuMv7Mf3f74H749vP3vGNNx42VI0nZOIhwf2Y9sju3Hk2HHMmj4N11++DK6G5AAb4f798D2SHHzl+iuWYaUs/uSefdjesxtHxo5j1sxpWNu2HJ9cmog/uXsf7v/RszgyXiY2a+Y0rPnn5fjk0sTgLPKBWwCkDN7yq6dfwQ92PKPY/trVK3DB+YnBWX71zCt44OFfKwZvufaqFbhwRWL7p371Mh584OnUwV0uHB+c5ZcvY8cDTyv2f8115+N8Ma4zuMvTfWkGb7lINnhLht89K5jsddrBYBD9/f2Ix+PSzF3ioFfiwCnpaE3PWS68Xi+ampqymrI0nVzOd1GTthnm1845aWeotQWsPbjKmubvag6wsX3nF4tybOr42vNuxdCrbyvjS+aj+7lvJOKNX9UcfKW7/1sAgFUbHsRrf1QOjrLoVDt6N18DAPjM5h048GdlfPHJdvxkw2oAwOXf3oEDf1LFT7Hjka8k4i1fexCvvZ2ML5pvR/Cb10jLrV9Vvv+iU+0IfCsZ/+xNP1AM3rLwNDv+8+7E4Cz/8m/aA7v88N8TA7uoB24BlIO3rL6uG38YUsVr7dhxf6L08mr3ds34Q/7E3a7PX+3THtzlIQ8A4NqrtOMPPDwe1xnc5bq272PoddXv1sJ5uL9nfPAWnd89s5PXYQOpnc304ulYLWm3tLSgrq4OPp9PGv0M0J9qs76+PutZuKxmopO2Ic+09+7dq7m+p6en5Ek7Zzq1tpYeXEVvAI5SD66iE9cbHEW8wpaTr3tfY3v5uiOq7VOWdQZfOTKWflkdU69LGahFtU5ve73BW3Tjeu0rdPAWne3NzHJ12hnuFBohEAigtbUV0Wg0JSYOCypqaWlRTM8pzsylJg41CkCaOUxrX5FIBCtXrkQgEEA8HkdPTw8CgQCCwSDWrl2Lvr4+OJ1OeDwe2Gw2dHZ2wuv1orGxEbFYDC6XC8PDw/B4PPD5fOjs7EQgEIDNZoPX60VdXR2i0SgaGxsxPDwMt9udsr3T6URXVxdsNhvsdjsikQiampoM/5zTMSRp/+hHP8Lo6CiqqqoU61944QUjdj+xtGptOUgG0aQl1mGrr6TVddrp4hNK506hEZxOJ1paWuDxeBSTbvj9fgCQxun2eDxSkhan59QSiUSk5BuLxeD1eqUErt6XfEpQ8UpfvAMQCoWk7err6+F2u+H3+1FTUyPtp6mpSRon3W63SwlbHA+9s7MTfr9fStha23s8HkSjUekRwURP22lI0t64cSMGBgZSyrv6+vqM2P3EEmtt0/xP1dKDq+gNwFHqwVV04nqDo8yenhqXr5s9YxowqorLB1dRbZ+yrDP4yqyZ6ZfVMfW6lIFaVOv0tp81axrwnio+a5rmz5pxvfZlNXjLIVV8uuZrM60zK/FWd7pn1nrxCTNBo/J1dnaivr5eMZnG4OCg4oqzrq4O4XBY93l3T0+PtJ3D4UAgEIDH48m4L63/EHm9Xng8HjQ0NEhX6OKsXmJHMfl83fJ2ORwOxONxxONxDA4OwuPxpN3e5/MpZp2c6P+cGdJ7vKqqSrMe26ga7Qkn/qJr/MJbeXCV1TdcND7AxvgAGYuUA2gUe3CVq79yOWqXzMe8U22Yd6oNtUvm4+qvXJ6Mf/WKlMFXrv7qFVLc07wMi0614+TqSpxcXYlFp9rhaU4OgnHjpUux+GQ7Tq6qxMlVlVh8sh03XprsxHfjZUux+BRZ/BQ7brwsGb/+8mVYND+x/0Xz7bj+cuUAG9dfkXz/Rafacf0VyvjatvHBW+yJgVvWtiUHZ1nzz8mYGF/zz7K4bOAWrcFbrl29AmfU2jFvXiXmzavEGbV2XLt6RTJ+1Xi8phLzasbjVyXjuoO7XDceHx+c5YwzanDNdbJ4NoO3LJwni2sM3pLhd88K1q1bh5GRkbQJWS8+ITKMyleo4WFln4lAIKC40q6vr1dMixmNRhWJMd30nDU1NYpb7fF4XHdfWlOCiona7/dLt+DF5OpyuTI+cxZvj8diMfh8Pum9tLZvampKae9Eyrsj2tatWzV/OZ988knEYjFDyr2MwMFViMisitIRrQjPtCORCNauXQuXy6W4Wu3q6kJLS4uUMOVTXQKQbon7/X7E43E4nU7N5On1elFTUyPNWy0+N1bvSyw983g8cLvdaG1thc1mQ3d3t3RFHIlEFNN5yp8/i+1cuXIlOjs7FbfsvV6v4tjSbS9vGwD4fD7YbDYEAoG8P98J6T3e19cn1ewtWrQIANDd3Y1wOIxVq1YZNp92oZi0icgoHBGtfNXX1yuu4MXn3RNhQnqPBwIBhMNhVFRUwOPxYN26dQgGg/D5fFi0aBF27tyZ765LT+9/qgbVcU90nbbZ44+9sh/3/HoPDo9Pi1g5bRpuWrEUl559VjL+jEb8Q4n4z1/ej7uf2SNNqzh72jTcdH4y/ovf7cf3wso67i+6luKSjybij//PfnzviT1SnfYXL16Ki/82WYf9uKwOfPb0afiCrAYcGK8DfyxRBy7VgJ+biIcG9+O+n+5R1Jj/66eXwlWfWiMOIKVOvO/5/fDv3K2oMXc3L8PKj43Hf7MP3QFlDbt71XJcdF6yTnx7j7JOfO0/yerEf70PD/xQWSd+3eeSdeK/fOYVPPAfv1bUWV931Qpc+AlZHfgPnkmtA78gUUf+1JMvY8f9qjrvNRdIdd56fvnsPtz/X88qju+6zy7HJ5edLR3f/f/1rFQjv+afkzHp8wkma+zdrcnPRv35qD8bUTHqtMkcvF4v+vr6pCQdiUTg9/sVV+xmkfeVdnd3tzQ95/bt27FmzRo0Njaiv78fALBr1y5ceeWVxrU0T0bXaRtdxz2Rddpmj1+yfQeiqudmdXY7Hl+TqKO+pDtNfO143L8DsfeUcUeNHY+7E/FP3bUDsXdU8ZPs+NnNifintyrrvBefbMdP162Wlv9xc2r8vzck45d/S1kHvvgUOx75aiJ+5e07FDXgQKIOfNft2jXiYlysE2/zateo93Qm4v90yw/w+luqOvAFdvzoO4k68c9+SbtO/D/vSdSJX3WDdp34w/cl6sSv8mjXgT/sG68DX+3XrgPfkbj9eO2/bNOu8/7h9cjG576g3f7/+F6i/f/yxQdSauR/+N1rpeV/Wqf8fBYusONHWz8vLas/H/lnA7BOu9yJQ3GLV9qxWAxut7u8rrRHR5PdcMUH8SMjI9I6eScCS9HrfWlwHfeE1mmbPC5eQcvJ1+nF39eIy9fp1XHr1Wmrt09ZPpp+Wa/GXP1e6nW6NeZ6+y+wTlyvzlqvDrzQOu1cjy9luYAae8vVaVPOHA6HZUZsy7v3+OLFi2G321FTU4N3330XW7ZsgcvlwtatW7F37968ZuQyBb3el0XsnUlE5lPK+bQt+z1KOcnlPOd9pd3c3Cz1ApQPqtLX14eenh50dHTku+vS0qnTNrqOe0LrtE0er5w2DX9SxSunTcs6Pntaat2vfJ1eHbdenbZ6+5RlVR24ogZcp8Zc/V7qdbNnTMM76rbnsv8C68RnatSBz8yhDrzQOu1cjy9luYAae2Di67SnTp0KADh+/Dhmzkz9d0Pl5fj4HUHxvGdS0OAqFRUV6O3tBQCsWrUKc+fOxcqVK61bny3KUKetF7/m62148LbUzlZacXWs0Hgu723G+E0rluJujY5mWcfPX4q7n07tiCb6omspvqvREU2KX7wU31V1RJP7wqVL8b2fKzuiyd142VLcq+qIJvrXTy/F9zU6oomuv3yZZkc0kbt5mWZHNCm+ajn8vc+mdEQTrf2n5ej+UWpHNNF1n/sE7v+P1I5oUvyqFbj/4WdSOqKJrrn2fM0JSaT4mgvwoHrCkTUXIFvXfXY57v/P1I5oojX/vBzbVR3R5Nyty+EPPKvoiCYn/3zUn41o3bp1GW9568VzccIJJ2DWrFl45513cOKJJ2LKFEOG1CAT+uCDD/DOO+9g1qxZOOEE/ZScd0e0AwcOoLW1VapVe+GFFxAIBEw31jhLvojIrDJ9Px0/fhwHDhzABx98UKLW0USZMmUKFi9ejGkadwvV8r7S3rlzJwYGBhTrNm7caLqkTURkRdOmTcOSJUukW6dUvqZNm5b13ZS8k/bixYtT1jU0NOS7u7LBOu38449G9+HO55/F+38ZvwV84jTc8rHluKwuUS/72L79uOfXu5W3xz+xLFnH/eo+3PWb3Yrb4zd/fDkuW5KIP/rqPtz1nDL+5Y8vx2Vnjsd/n4zPnjYNXz4vGQOAx/bvx117duP9vxzH7BOn4eZly6R9A8DPX0nWic9W15C/tB///ivlrfkvXbgUf//h8Rry/92P7/Ypb+3/28qluOT/KWvI5dt/4eKluORvZXOFP6YxV7hYJx7Zj/t+ptz+hk8tRZNzvE68fz98P1bWeV9/RXKu8r7n9sEf3K24ve5pUdaBZ5ovXO/9n3hhP+57VBn/139Itj/cvx/bfqJqn2q+c6DwwU/yiT/1q5fx4IOqGvXPJ2vUCzFlyhSWfJFC3g9KtEq6Dhw4UFBjTEPsEZ6uZ3iG+I5NPRh65U28++Yw3n1zGEOvvIkHb+vRjKtjhcZzeW8zxu98/llE48N4+/3DePv9w4jGh/Gd55+V4vf8ejeiw8P40+HD+NPhw4gOD+PuX++W4nf9ZjeiI7LtR4Zx12+S29/1XGr8zjTx6Mgw7nwuGQOAu/aMxw+P73v3bkX87mf2IPbeMP506DBi7w3j7mf2SLF//9UexN5NxP506DBi7w7jnl8l49/tG48fPIw/HUzE/70vGf/eE3sQe0cWf2cY33siGf/+Y3tw4E/D+PPoYfx59DAO/GkY9z6WjN/3s/F4/DD+HE/E7/tZMu778W689sdh/HnkMP48chiv/XEY236cPD5/cDdef2sY74wcxjsjh/H6W8PwBZOfz/0/ehavvzmMd4YP453hw3j9zWFs/69ns37/+x5NjX//0WR820802veI8vPfunUrqqursXXrVmgpVvzBB5/BH/7wHt599xDeffcQ/vCH9/DgD57W3AdRofK+0na5XLj44oulAdXD4bDmuK2WU+DgKqzTzj8uXmHLydcVXKedYzxl+S86yxm2153ru8Aac706bt0a9QLrvPXiuu0vsH3ywU3Ev9MNfmJ0XK9GnchIeV9pn3vuufD5fBAEAYIgwO/346KLrDVrjyb54ClTp2YeXEUrTkQTKt3gJuKgT8WOE02kguoIFi9ejM2bN2Pz5s0499xzsXfvXoOaVUIFDq7COu3847NP1Kijlq2r1OhZmVOddo7xlOUTdZYzbK8713eBNeazNeqY5et0a9QLrPPWi+u2v4D2FTr4SaFxvRp1IiNlfXt8+/btGeMjIyPo7e2Vxh63rAIHV2Gddv7xWz62HN/R6IgmuukTy3C3Rkc00c0fX467fvNsSkc00Zc/vhx3quJflsfPW447n3tW0RFN7uZly3DXbmVHNDmxjlzeEU30pQuX4h6Njmiif1u5FP+u0RFN9IWLl2p2RBPJa8QBpNSJ3/CppZodwUTXX7EM2zQ6ook8LcvhCz6b0hFNJK+TFuPyWmm99//Xf1iK72t0RJPaJ9axqzqiiQod/KSQ+DWfPx8P/uDplI5oRMWQdZ12Q0MD2traMr6mp6cnpQys1FinTTR5lKL3eCH4/US5yvpKu7OzU3ekM63JzYmIJopeQi12nKjYsn6mnc3QpOeee25BjSGiya3UnbtK/f5Eegoae7xsic+qtZ5p68StPLiKEcefKV5o+5557Ld4+J4ncOTwMQDArMrpuOqmS7Di0r9NxH/2Ah7e+hiOHD46Hp+Bq9ZdhhWfkv1nMkPbf/7GS7jnxV/h/f87jtknTMNNH7kQf3/6h5Xxl2TxDyvjjw29jLt/95QUv/mjF+DS2r8BADz62iu487fPKJ/Xn7MCly1MDMDx6O81BpY5TzawzCv7cY/GuOvS4C0vJwd2AZLjrkvxVzTisu1/8bv9+F5f6rjs4uAuj72aHFhGbN/NS5ODy/zixdTBY/7tk8nBY/QGhwGSZVVaz5Sfe28Au954BGN/TZz7mVOno/n0y/GxmsSATsLRn0M4dA8gvA9UzEbFnJtQMePvpe37ntsP/67deH/sOGbPTIzbvvJjyoFZ0r2/3sAyv/z1Pjzww9Rx2y9cfjaIjJb32ONWkfMzowLrtK/98E0YeuVNxS5rP3QaHnjpbs24PFZoPNf31tp/ocefKV5o+9yXbMFQ9M/KeN3J8D+eKMdxX/gtDP1eOQ9Y7ZmnwP+rr2bV9r9//PuIHUpOZeWYU4NfXPKvyfgTGvGLk/GLH9uGqCxeN6cGT1x2PQBg5U+6ER1VTpNVV1WDvs+sTcT/8wFE48PKuM2Ovs9eCwC4pHsHosOquN2Ox9euTsT9OxB7Txl31NjxuHu1tL1mfHz7T929A7F3VPGT7PjZTYl400MPIjqiev9qO0JXXwMAuOzeHYi9q9p+nh2P3ZjY/tNbtff/03WJuLwOGkBK4vT+9mt46+jbiu0XzJiPzr/7JgDgg3f+HvirbMCnqQ5MOekX0mKb90G89lby/RctsKOn8xppOdP7t63/AV5/S9n2hQvs6NnyeQDAVTfcjz+8oYyfcbodD993HfTwmTblilPHqBVYp23lwVUAFF6nniFeaPvEK2w5+TrxClsZl63Tafv7/3e8aMt6A8eUfGAZvcFP9NpfwOAp2dRBi1fYcop1wvvKoGr5fdXgL/JlvffXGzhmTCOutY7ICEzaapO4ThtAwcefKV5o+2ZVTk+Jy9fNqkwdo1mxTqfts0+YVrRlvRr0kteo69VR67W/gDpsvTpoIHE7XE2xrmK2Mqhanq2qI5cv69ZhFzgXOZGRmLTVxDrssbHUW79ZxK/5ehtqP3Qa5p1mx7zT7Kj90GkptcpiXB0rNJ7Le6fbf6HHnyleaPuuuukS1NadjJpTqlBzShVq607GVTddkoyvuwy1Z56CmvlVqJlfhdozT8FV6y7Luu03feRCOObU4JSZc+CYU4ObPnKhMv5hVfzDyvjNH70AdXNqMH/mHNTNqcHNH03OF33LOStQV1WD+bPmYP6sOairqsEt5yTno77lvOWos9kxf3Yl5s+uRJ3NjltkdeI3rViKOrsdp1RW4pTKStTZ7SlziTtq7DhlTiVOmVMJR41dMZf4TSs04rLtv+haCsdJdpwytxKnzK2E4yS7Yq7xm5cuQ121HfMrKzG/shJ11XbcvDRZJ/1vn1wKxzzZ/ufZ8W+fVNaZq/cvrzNft26dlDi1nmk3n345FsyYj+oTq1F9YjUWzJiP5tMvl+IVc24CpjqAKacAUx2JZRl38zIsWmDHSdWVWLTArpiLXO/9PS3LsXB825OqK7FwgV1Ro37d5z6BM06346SaSpxUU4kzTrcr5iInMhKfaRORaRhdB2329+f3E+WKV9pEZBqlroMu9fsT6WHSJk2F1quWc72r3rHx2POPE1FmrNNWyaqWuYA6bb3tzRDPVC9b8PYlPLYn3vpf3LvvSalX9+wTpuHGs1fi4gUfkeLf398n1VnfeNZKNC34fzl9Nunij772Cu7cq1GnvShRp/3YH17GXf/ztLIO+m/Px2VnjNd5vz6+vazt8jrv1w/1Ye97fvyfcAQAcELFLJxT48HCOYmZ9/TqnOU15uL+5XXmhRx7NnFFnTWQUmv9+P/sx/dCGnXeH03USj+xdz/u/XkiPnv6NNx46VJcfE6yDjs0uB/3/WwPjhw9jlkzpuFfP70ULmcyHu7fj20/2S3Fr798GVwNiXjfc/vh36mu016Gi8brvJ/csw/be5TxtW3L8cmlyjpwIiMwaavs2NSTUiv84G09yaSrU+tb6PaljuvNK1zQ9iU+tnv3PYkDh99VnJt79/VJSfv7+/sU8Xv39ymSdiFzLt+59xlER5W1vN/Z+4yUtO/6n6cRPSir4x5LrBOT9p17n1HGxe3Hk/be9/w4+JfXFfG97/mkpL3rjUcUdc4jfwF2vvGIlLTv/t1TihpzALjrd09JSbvY81ULh+5R1lkDEA7dLSXt74X2pNR5f++JPVLSvvfne3Dgz8n4vT/fo0ja9/1sD157Oxn//k/3KJL2tp/sxmt/TMa3PbJbStr+nbuVddojgC+4W0ra23t24/U3lW3r7nmWSZuKgrfHVXRrmQus0y5mHXSh8azmDS5k+xIfu7qOWr0uU511oXMuF1qnrdd28QpbTr5Or8450/4nZD5qdZ21al2udeDqZXF2sHyW9eq09eJERmLSzpVenXKh25cwnk29bEHbl/rYC1DonMtWVuz5qIkoe0zaKroDkOjU+ha6fanjevWyBW1f4mNTD36iXqc3WIreZ5MpXujgKnptP6FiVkpcvk5vcBK9/Rdy7NnEUwZHUa3LdfAW9fKsGfkv6w2uohcnMhLrtFWeDu7Bg7dlMalGkbY3i0LrVUtdb6vlibdexL37+tJ2RAu99b+4V6cjGpDfnMuPvfYKvlNAR7THXh/fPm1HtCex9z1f2o5oz783gJ0ZOqL9fOhl3KXTES3fY88mLhz9BYRDd6fviPa7NBOOZNkRLRzZj+//NENHtIH92PaIdke0J5/fD1/KhCHJjmi/3LMf3T3P5tURjXXalCsmbSKiEuH3E+WKt8eJiIgsgiVfKlnPOW1yZrw9rafQ+bZ/8b/78d0nlXNG/9vKpbjkI8rblOk+m8f27cfdz+7G+8ePY/a0abh5+TJcenbqLc5i3SIuZlxvvu5HX92Hu57brfjsvvzx5bjszOzKlh59/WXc9Vvl7fsv/9350u17IjIGr7RVxDrrd98cxrtvDmPolTfx4G09yheJvZLT9U4ucXzr1q2orq7G1q1bzde+DDG9z14v/t0n9yD27jD+dPAw/nTwMGLvDuPf+/Yo3iPTZ3P3s7sRHR7G24cPIzo8jLue3Z3yGr3P1qzxO59/FtH4MN5+/zDefv8wovFhfOe5Z6X4Xc/tRnREFh8Zxp2/eVa9+7Tu+m2ijvztI4fw9pFDiB58D3f+9umstyei7DBpq+jWWYsDeMycmfhbq+yohHH1IBYpX+6lbJ/OtoXOt603Z7TeZ6PeXr2st72Z47p14DqfnR69OvJsbNu2DYsWLcK2bdvKMk5kBHZEU/nnWg/eVY1uNO80O/5ryJdcMXNmYgCPGTMS5UVqJYrH43FUV1envHxkZER5u7SU7c8Q0/vs9eIXbu3Gnw4eVsRPmVuJX61bm9Vns3ybH28fTm4/v7ISz17vBqD/2Zo9/vEd2/D2+8rPZv7sSvxm9fUAgKUP+DTje671pOxTy9Jd38PbRw4pt581B3uu/EJW2wPAokWL8Prrr2PhwoV47bXXyi6uhR3RKFe80lbRrbMu9QAhRRwcpehxnW31Pnu9+OxpGrW84+uy+WzU28uXiz3ASLHjunXgGT67bOjVeWdjw4YNWLhwITZs2FCWcSJDCGVudHRUACCMjo5m9fqnAruFz//Nl4R/Ot0t/NPpbuHzf/Ml4anAbuWL9u9X/q1W4viWLVsEAMKWLVvM174MMb3PXi/+i//dJ1x2z4PCBVv8wgVb/MJl9zwo/OJ/9yneI9Nn89gr+4Sm+38gLLvPJzTd/wPhsVf2pbxG77M1a/zR378iXPTD+4XzHrxPOO/B+4SLfni/8OjvX0nGX90nrHz4AeHj928TPn7/NmHlww8Ij76aevzpPPray8LKn/iEj+/8rvDxnd8VVv7EJzz62stZbz9Z5fr9RGSJ2+OxWAzBYBAOhwOxWAxutzvrntGT9faTFXuPT5RiDxxj9jiZx2T9fqL8WSJp19fXY3BwEEAigXu9XgQCgay25T8KIjIrfj9Rrkz/TDsWU07X53A4EA6Hi/6+ihmIGDc0bua2mSFORJSO6ZN2OByG3W5XrLPb7YhEIkV7T7PW2pZD3MxtM0OciCij0j5S19fZ2Sm4XC7FOofDIYRCIc3XHz16VBgdHZX+DA0N5dTRQ+zII/5Rd+hhPP+4mdtmhrggCMJ9990nLFy4ULjvvvtSYsWOl/K9J0NcCzuiUa4sm7QDgYDm6zdt2qT4YhT/ZPOPYmRkRHPbkZERxguMm7ltZoiLFi5cKAAQFi5cqPk7Wsx4Kd97MsS1MGlTrkyftH0+n+B0OhXrbDYbr7QtGDdz28wQFwReaZdzXAuTNuXK9Ek7Go1qJm31FUo6+fyjMGutbTnEzdw2M8RpcmHSplxZsuTL4/EgFApltW2+JRWlrqUt57iZ22aGOE0eLPmiXFkiacdiMfh8PjQ2NqK/vx8bN27k4CpEZHn8fqJcWSJpF4JX2uaMExGTNuXO9HXapVDqWt1yjxMRUZ5K+UB9IuTa0aPUPYjLPV7qHryMs/c4e4+TlTFpy5S6Vrfc44JQ+lpZxlmnXaq4FiZtyhWTtkqpr0TLPV7qqx3GeaXNK22yMiZtDaWu1S33OBElMGlTrth7PI1S964u9zgRsfc45Y5Jm4ioRPj9RLliyVcanFOZiIjMhklbA+uYiYjIlEr7SL34rNZ7XBBK38uVPZQnZ9zMbSuHuBZ2RKNcMWnLmKGOWRBKX09azLiZ2zbZ42ZuWznEtTBpU66YtFV4pc2ruckaN3PbyiGuhUmbcsWkrYF1zEQ0EZi0KVcs+UqDdcxEVGws+aJcsfd4GnoJtdhxIiIiNSZtIiIii2DSJiIisggmbSIiIotg0tawbds2LFq0CNu2bWPc4LiZ2zbZ42ZuWznEiQxR6u7rxZZPSUWpB2Eo57iZ2zbZ42ZuWznEtbDki3LFpK2h1IMwlHPczG2b7HEzt60c4lqYtClXrNMmIioRfj9RrvhMm4iIyCKYtImIiCyCSZuIiMgimLSJiIgsgklbQ6nrOcs5bua2Tfa4mdtWDnEiQ5S6+3qxsU7bXHEzt22yx83ctnKIa2HJF+WKSVtDqes5yzlu5rZN9riZ21YOcS1M2pQr1mkTEZUIv58oV3ymTUREZBFM2kRERBbBpE1ERGQRTNpEREQWwaStodT1nOUcN3PbJnvczG0rhziRIUrdfb3YWKdtrriZ2zbZ42ZuWznEtbDki3LFpK2h1PWc5Rw3c9sme9zMbSuHuBYmbcoV67SJiEqE30+UKz7TJiIisggmbSIiIotg0iYiIrIIJm0iIiKLYNLWUOp6znKOm7ltkz1u5raVQ5zIEKXuvl5srNM2V9zMbZvscTO3rRziWljyRbli0tZQ6nrOco6buW2TPW7mtpVDXAuTNuWKddpERCXC7yfKFZ9pExERWYQlknYkEkF9fX2pm0FERFRSpk/awWAQQCJxExERTWYnlLoBelpaWkrdBCIiIlMw/ZU2ERERJZRd0j527BgOHjyo+JOrUg/CUM5xM7dtssfN3LZyiBMZotQ1Z9nKtqmbNm0SAKT84eAq5oibuW2TPW7mtpVDXAvrtClXJUnaPp9PaG9vT/snFAqlbJNt0j569KgwOjoq/RkaGuLgKiaKm7ltkz1u5raVQ1wLkzblyjKDq1RUVCCfpnLwAiIyK34/Ua4s9Uw7Ho+XuglEREQlY/qkHQ6H4fV6AQAdHR1S3TYREdFkY5nb4/ni7SciMit+P1GuTH+lTURERAlM2kRERBbBpE1ERGQRTNpEREQWwaRNRERkEUzaREREFmH6qTkLJVa05TNxCBFRMYnfS2VeeUsGKvukfejQIQBAbW1tiVtCRKTt0KFDqKqqKnUzyALKfnCVDz74AG+99RbmzJmDioqKUjfHEAcPHkRtbS2GhoY4IEOO+Nnlj59d/tJ9doIg4NChQ1iwYAGmTOHTStJX9lfaU6ZMwemnn17qZhTF3Llz+eWZJ352+eNnlz+tz45X2JQL/teOiIjIIpi0iYiILIJJ24KmT5+OTZs2Yfr06aVuiuXws8sfP7v88bMjo5R9RzQiIqJywSttIiIii2DSJiIisggmbSIiIotg0iYiIrKIsh9cxcoikQjWrl2LwcHBjK+LxWIIBoNwOByIxWJwu92w2WwT00gTyvZzi0QiAACn04lYLIZ4PA6n0zkRTTStSCSCcDgMAOjv70d3d3fa3yX+3inl8tnxd4/yJpApBQIBYXBwUMjmFDmdTunnaDQqtLS0FLNpppbL5+Z2uwUAAgDB5XIJIyMjxW+gyXV2dip+lv9uqfH3TimXz46/e5QvlnyZXEVFRcYZgGKxGFpbWxVXldXV1RgZGZmI5pmW3ucGAH6/H6tWrQKASX2FKIpEIli5cqX0uxOLxVBXV4doNAqHw6F4LX/vlHL57AD+7lH++Ezb4sLhMOx2u2Kd3W6Xbr9RZjabjV+a45xOJ7q7u6XleDwOACm/XwB/79Ry+exE/N2jfPCZtsWJXw5qw8PDE9sQC4rH4wgGgwASzyA9Ho/mVdFk0tLSIv3c09MDl8ulmVj4e5cq288O4O8e5Y9Ju0yl+1KlJHnHKYfDgaamJkSj0dI2yiTEpKLXmU9ru8kum8+Ov3uUL94etzibzZZydTM8PMzbblmIxWLSz2IPaPm6yczr9SIUCqX9PeLvXXp6nx3A3z3KH5O2xblcLs31DQ0NE9wSaxE7DqllegY5WXR1dcHr9cLhcCAej2tePfP3Tls2nx1/96gQTNoWoP6HH4lEpP+Va/XqbWho4BUP9D+3zs5OKRYOh9HS0jLpP7dgMAin0yklnd7eXukz4e9dZrl8dvzdo3yx5MukwuEwQqEQurq60N7ejsbGRqmjS2trKxobG9He3g4g8YXp8/nQ2NiI/v5+bNy4cdJ+AeTyuYmDYdhsNkSjUcUX6WQklinJ2Ww2qYyJv3fp5frZ8XeP8sWkTUREZBG8PU5ERGQRTNpEREQWwaRNRERkEUzaREREFsGkTUREZBFM2kRERBbBpE2EiRszm2NzE1EhmLSp5MLhMOrr6+H3+0vy/n6/P2Uc7a6uLlRXV8Pj8aTdpqKiAl1dXTmNGd3R0ZGyzuj36urqyro9RGQtTNpUci6XC21tbSV570gkArvdnjIsZ3t7O1wul2aSjMfjGBwchMvlQnt7e8FTKhr9Xm63G16vt6A2EZE5MWnTpNbR0aGYB1kUDofh8Xg0E+nAwAAAoKmpKaf3CgaDmv85Mfq9xKFEOWsUUflh0qZJKx6Pp71yjcVimle/kUgEDQ0NCIfDaWe6SicUCsHpdE7Ie7W1tSEYDOa0DRGZH5M2mVIkEkFXVxeCwWDKs1xxnd/vh8fjQTgczus5bm9vLxobGzO+xmazKTqPic++Y7GYZgJOJx6Pp0woUaz3AgCn04lQKJTTNkRkfieUugFEarFYDF6vV5F06uvr0dfXBwBYu3atNHtSXV0dvF5vzleiABCNRtPO/yzObexwOKSkKV7xhsPhnJOo3++H2+2ekPcSqTvXEZH18UqbTMfn86UkKofDgd7eXkPfJx6Pa04lGYlEpPcXE2k8HpeSaygUUvwnIR6Pw+v1IhKJpH2vaDRqyHsR0eTGpE2WYrPZ4Ha7FbfH5c+l0yVQv98v3UYXb7Wrb0eLBgYGpH2KiXRgYEBKruFwWNExbGBgIGP9dSQSSduRLNf3AhKPB+R/2OGMaPLg7XEyDTHxtbW1Ye3atYpYJBJBd3c3AKCmpgbt7e2a+9BKoLFYDNFoFG63Gy6XC62trQgEAqirq9N8Xizfvq6uDj6fT3FrW+wgJnK5XBmfH/f09KCzszPjMWf7XsFgEC6XS3HVHg6HASClU514tU5E5YNX2lRykUgEPT096OnpkW4Xd3Z2Sh3RvF4vAoGAlKii0Sjq6upQX1+PpqYmxaAs6oQGJJKavBOYeGXqcrnQ39+vWO/xeODz+aSe1w0NDfB4PLDZbFJpFoCCb9Xn+142my3l+FwuV8qdhUxX90RkYQKRhYRCIaGzs1NajkajQktLixAKhaR17e3twuDgoLTc2dkp+Hw+adnhcEg/t7S0GNIu9XuKAoGA5vp8DA4OCiMjI4IgJD4H+XEEAoGU9kSjUUPel4jMg1faZCnqjlkOhwNtbW0Zn+ume3YNAB6Pp6j1zOlqs/MhPvMGElflPp9P83XisRY6UhsRmQ+faZOliLfNw+GwlJSGh4fTllMBiQTX09MjLcuTqMvlgt/vT9uTPBvhcFhxe1rcfza12bmw2WxSJzWbzSb95yUSiSgSdEdHR9pn6ERkbRWCIAilbgSRUcLhMDo7O+F0OtHW1iYlUL/fL12prlq1KiVBF5K0J5r6zoDD4TDsap6IzI1Jm4iIyCL4TJuIiMgimLSJiIgsgkmbiIjIIpi0iYiILIJJm4iIyCKYtImIiCyCSZuIiMgimLSJiIgsgkmbiIjIIpi0iYiILIJJm4iIyCKYtImIiCyCSZuIiMgimLSJiIgsgkmbiIjIIpi0iYiILIJJm4iIyCKYtImIiCyCSZuIiMgimLSJiIgsgkmbiIjIIpi0iYiILIJJm4iIyCKYtImIiCyCSZuIiMgimLSJiIgsgkmbiIjIIpi0iYiILIJJm4iIyCKYtImIiCyCSZuIiMgimLSJiIgsgkmbiIjIIpi0iYiILIJJm4iIyCKYtImIiCyCSZuIiMgimLSJiIgsgkmbiIjIIpi0iYiILIJJm4iIyCKYtImIiCyCSZuIiMgimLSJiIgsgkmbiIjIIpi0iYiILIJJm4iIyCKYtImIiCyCSZuIiMgimLSJiIgsgkmbiIjIIpi0iYiILIJJm4iIyCKYtImIiCyCSZuIiMgimLSJiIgsgkmbiIjIIpi0iYiILIJJm4iIyCKYtImIiCyCSZuIiMgimLSJiIgsgkmbiIjIIpi0iYiILIJJm4iIyCKYtImIiCyCSZuIiMgimLSJiIgsgkmbiIjIIpi0iYiILIJJm4iIyCKYtImIiCyCSZuIiMgimLSJiIgs4oRSN2AiHD16FMePHy91M4iIJoVp06ZhxowZpW5GWSr7pH306FFUzazGcRwtdVOIiCaF+fPn48CBA0zcRVD2Sfv48eM4jqP4RMWncAJORMWUCqBiSuJvAKioAKZUJP4GUDFlyvi6Kcm4GKuYonit9DppWbY/adspymVov69QUZF4WCHfd0VFYj2gio2/fnxRep18WfZ6oUJj2/HDE7cT5NuKxwIAUypkMeW+hAqkbis7xEQbIHut+EL5vpBmX0geu+q1uttCY1+y9anvk37fGV8LneWM+xV03xcViVYr2i69h5D6PuOvV7Y58boK1XKyzWJcepfkz+J248sVFYJiWdyuQrad7J8LplQI0r7E2BTZ8hSotxWU8fGfp0AZmzL+s/Ra2Tqof4b42g+SbULivRPLH2BqhXJZ/Oc6FQIqKj6Q9pV4nWx5/Oep4/uuQPLnKRUfYOr43+K+plR8gClItmMqPki+Xr4tPsCU8f0n95VopxifKt/X+LZTIaTsa+r4Zyfua+r45yG+NrGM5PEDmCodf8X4csV4rEL6g/H1UzBFtpz4+eChD7Cw/jUcP36cSbsIyj5pi07AiTih4kRUjCfSCikhTElNzGKyTayQkq5+0q7QT9qKbZPLuSXtCkXiNTxpy7/UDU7a6RKgoUlba1/IENNJnlm/Frlsm0PSlq+T3qNISTvl5+R+k0k5U9IWckvaqtfmk7STiTm7pC2uSyxrJW15Qss+aU9JSdrJ9xV/nppl0p5aIWDq+Cc7paICU1EhS9oVmDq+LrlthSxpfyBLvGKSVi8rk/bULJP2VN2kzW5SxcZPmIiIyCKYtImIiCyCSZuIiMgimLSJiIgsgkmbiIjIIpi0iYiILIJJm4iIyCKYtImIiCyCSZuIiMgimLSJiIgsgkmbiIjIIpi0iYiILIJJm4iIyCImzSxf/4e/JCY0EioATBn/G1BPr1QhTk0lTEnGPxiPVYzH5DNxQWNqTsjiFVOUy/KfheS+hIrxqajSzfKliI2//gNIr+XUnJya02xTcwoas3wJsmVBNjXnB5ya06JTc0K2nNjPwUPiFxMVQ9knbUEQUFlZiV8f/llixV9L2x4ionJXWVkJQRD0X0g5K/ukXVFRgcOHD2NoaAhz584tdXOK5uDBg6itreVxlgkeZ3mZLMcJJI+1Qn5njQxT9klbNHfu3LL/xwLwOMsNj7O8TJbjpOJhRzQiIiKLYNImIiKyiLJP2tOnT8emTZswffr0UjelqHic5YXHWV4my3ECk+tYS6FCYBc/IiIiSyj7K20iIqJywaRNRERkEUzaREREFmHJOu1YLIZgMAiHw4FYLAa32w2bzZbza3PZT6kYdayRSAQA4HQ6EYvFEI/H4XQ6J+go9OV6LiKRCNauXYvBwcGC9jPRjDrOcjqfkUgE4XAYANDf34/u7m7L/Bs16jjL6XyKxxiPx9Hf34+2tjbpWMx+Pi1BsCCn0yn9HI1GhZaWlrxem8t+SsWoY3W73QISw1gLLpdLGBkZKUp785XLcQYCAWFwcFDQ+vU1+zk16jjL6Xx2dnYqfpZvW07nM9NxltP5tNlswuDgoCAIguDz+QSHw5HXfkib5ZJ2NBpVnHhBSPyS5PraXPZTKkYdqyAk/vGMjIyY7stAEPI/F+pkZvZzatRxCkL5nM/BwUFFLBqNCgCEaDRaVucz03EKQvmcT0EQhFAoJP3s8/mkbc1+Pq3Ccs+0w+Ew7Ha7Yp3dbpduL2X72lz2UypGHavIZrOZ8laUUefC7OfU6PaVw/l0Op3o7u6WluPxuPT6cjqfmY5TVA7nEwBcLpf0cyAQgMfjyWs/pM1yz7TFX3a14eHhnF6by35KxahjFePBYBBA4nmax+OBw+EwpJ2FMupcmP2cGtm+cjqfLS0t0s89PT1wuVyw2Wxldz7THae4r3I5n0DiGX1PTw+amprgdrvz3g+lslzSTifdL0Sur81lP6WSz7HKO3w4HA40NTUhGo0a3zgDGXUuzH5O82lfOZ5PMXGpO93lup9Sy+c4y+18Op1OOBwOeL1eBINBxX9YctkPpbLc7XGbzZbyP7Ph4WHN20qZXpvLfkrFqGMFEr02RWLPTfm6UjLqXJj9nBrZvnI8n16vF6FQSHpduZ5P9XEC5Xk+bTYbWltb0draing8bvrzaRWWS9ry5yVyDQ0NOb02l/2UilHHGolEsHLlypSY+vlSqRh1Lsx+To1qXzmez66uLni9XjgcDsTjccTj8bI8n1rHWU7nMxwOo7q6WloWb/HHYjHTn0+rsFzSVj/nicViaGhoUNQ7iv9DzfRavf2YgZHH2tnZKcXC4TBaWlpMc6y5HKea/Naa2c+pkcdZTuczGAxKt1Pj8Th6e3st8W/UyOMsl/Npt9sVyTkSicBms0nHnWk/lB1LThgSi8Xg8/nQ2NiI/v5+bNy4UTrxra2taGxsRHt7u+5rM8XMwqhjFXvM22w2RKNRxZeEGeRynOFwGKFQCF1dXWhvb0djY6P0zMzs59So4yyX8xmLxVBXV6fY1mazYWRkRHc/ZmDUcZbL+QQS/zkRb4OHQiF0dnYqrrjNfD6twJJJm4iIaDKy3O1xIiKiyYpJm4iIyCKYtImIiCyCSZuIiMgimLSJiIgsgkmbiIjIIpi0iYiILIJJm4iIyCKYtImIiCyibKbmJDKrrq4uOBwODA8Pm3KISiKyDg5jSlREXq8XdXV1cLvdiMfjWLx4sTTeNBFRrnilTVQksVgMfr9fStIDAwMp0xP6/X4AyWkYY7EYWlpapAkW/H4/7HY7bDYbIpGIIiYXj8fR0dGBtrY2OJ3OYh4WEZUQkzZRkUQiEcVcwaFQCE1NTdKyx+NBU1OTNHOXuE7+s8fjkZKwy+VCU1MTAoFAysxIAwMDiuk7iag8sSMaURHJr4qDwSBcLheCwaA0n7I8YQOJ2+l2ux3xeBzhcDjlqrm1tRVerzflfVwuF6c4JJoEmLSJikRMyMFgEMFgEB6PB+FwGA6HAwMDA5q3uR0OB2w2W8Z4LBYretuJyJx4e5yoiHw+n+b6eDyumXzFW9xiYleLxWKayZyIJgdeaROVgM1mw6pVqxAMBhXrw+EwbDYbHA4HXC4XwuGwIu7z+TRvjxPR5MCSL6ISUvcedzqdiitpscYbSO1ZXl9fj0AgAIfDgXA4jM7OTjidTvYgJypjTNpEFhWPxzE8PMzb5USTCG+PE1mU2KmNiCYPXmkTERFZBK+0iYiILIJJm4iIyCKYtImIiCyCSZuIiMgimLSJiIgsgkmbiIjIIpi0iYiILIJJm4iIyCL+P5EBKN4PPOW9AAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "PLOT_PROPERTIES['figsize'] = (4.5,6.)\n", "PLOT_PROPERTIES['colorbar'] = {'label' : r'$a_\\mathrm{CO,1}$'}\n", "PLOT_PROPERTIES['zmin'] = 0.\n", "PLOT_PROPERTIES['zmax'] = 0.3\n", "\n", "grid.plot2D('star_1_mass', 'period_days', 'S1_MODEL05_spin',\n", " termination_flag='termination_flag_1',\n", " grid_3D=True, slice_3D_var_str='mass_ratio',\n", " slice_3D_var_range=(q-0.025,q+0.025),\n", " verbose=False, **PLOT_PROPERTIES)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "The missig points in the above plots are NaN values associated to disruped stars due to pair instability supernovae (PISN). \n", "\n", "To display supernova type (SN_type) and compact object type (CO_type) are stored as strings in the dataset. These quantities can be plotted using the ``termination_flag`` option of ``plot2D``, as" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "PLOT_PROPERTIES['figsize'] = (4.5,4.) # defualt\n", "\n", "grid.plot2D('star_1_mass', 'period_days', None,\n", " termination_flag='S1_MODEL01_SN_type',\n", " grid_3D=True, slice_3D_var_str='mass_ratio',\n", " slice_3D_var_range=(q-0.025,q+0.025),\n", " verbose=False, **PLOT_PROPERTIES)\n", "\n", "grid.plot2D('star_1_mass', 'period_days', None,\n", " termination_flag='S1_MODEL01_CO_type',\n", " grid_3D=True, slice_3D_var_str='mass_ratio',\n", " slice_3D_var_range=(q-0.025,q+0.025),\n", " verbose=False, **PLOT_PROPERTIES)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Displaying Final Quantities also for intial_MT, unstable_MT and not_converged Interpolationn Classes" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We have a debug ``termination_flag`` option which allows us to display\n", "as a colormap the final value also for the tracks that ends because of\n", "initial or unstable mass transfer." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "PLOT_PROPERTIES['figsize'] = (4.5,6.)\n", "PLOT_PROPERTIES['log10_z'] = True\n", "PLOT_PROPERTIES['zmin'] = 0.1\n", "PLOT_PROPERTIES['zmax'] = 3\n", "\n", "grid.plot2D('star_1_mass', 'period_days', 'period_days',\n", " termination_flag='debug',\n", " grid_3D=True, slice_3D_var_str='mass_ratio',\n", " slice_3D_var_range=(q-0.025,q+0.025),\n", " verbose=False, **PLOT_PROPERTIES)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Advanced Plotting Functionalities" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### How to plot grid up to onset of RLO" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This functionality allows to slice the MESA runs at onset of Roche-Lobe\n", "overflow and display with a color a quantity in ``history1`` or\n", "``binary_history``\n", "at onset RLO, or, alternatively one of the termination flags. Use\n", "``slice_at_RLO=True`` option of ``plot2D`` to allow for this.\n", "Note: depending on how many\n", "runs you intend to display this might take a while." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Overplot grids on top of each others" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Sometimes you want to rerun a subsample of the grid. This option will allow you\n", "to stack as many grid reruns as you wish.\n", "You can combine the new grid by passing it to the option ``extra_grid=new_grid``.\n", "If you want to stack more than one grid, pass them in a list, e.g.\n", "``extra_grid=[new_grid_1,new_grid_2,new_grid_3]``, they will be stacked in\n", "the order provided where the last extra grid of the list will stacked as last." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Creating plots with several slices" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We have the option to pass a list of slice ranges. In this case the plotting\n", "script will loop over those ranges and create one plot with several slice\n", "plots. It will get a common legend and/or color bar.\n", "\n", "There are two more options to the plot2D function:\n", "1. ``max_cols``: It specifies the maximum number of columns of subplots. The\n", "number of rows is automatically calculated to cover all plots and the legend.\n", "2. ``legend_pos``: It specifies which subplots are used for the legend/color\n", "bar and allows an index or tuple specifying a rectangle of indecies, like\n", "matplotlib requires for creating a subplot.\n", "\n", "Because the legend has its own axes, it is recommended to modify the default\n", "``bbox_to_anchor`` of the legend.\n", "To have a better control on the color bar, it got the additional field\n", "``bounds`` in the plot properties.\n", "To identify the subplots each of them will get a text box. Its attributes can\n", "be modified by changing the field ``slice_text_kwargs`` in the plot properties.\n", "The slices will loop over 3D and 4D idependently. If one of them has just a\n", "single range, this slicing will be added to the legend title instead of being\n", "reported in any subplot." ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "q_ranges = [(0.025, 0.075), (0.175, 0.225), (0.325, 0.375), (0.475, 0.525),\n", " (0.625, 0.675), (0.775, 0.825), (0.925, 0.975), (0.98, 1.0)]\n", "\n", "plot_properties = {\n", " 'show_fig': True,\n", " 'figsize': (9, 9),\n", " 'log10_x': True,\n", " 'log10_y': True,\n", " 'xmin': 0.68,\n", " 'xmax': 2.52,\n", " 'ymin': -1.2,\n", " 'ymax': 3.9,\n", " 'wspace': 0.01,\n", " 'hspace': 0.01,\n", " 'colorbar': {\n", " 'bounds': [0.03, 0.7, 0.94, 0.05]\n", " },\n", " 'legend2D': {\n", " 'title': 'Termination flags',\n", " 'loc': 'lower left',\n", " 'prop': {\n", " 'size': 7\n", " },\n", " 'bbox_to_anchor': (0.0, 0.0),\n", " },\n", "}\n", "grid.plot2D('star_1_mass', 'period_days', None,\n", " termination_flag='combined_TF12',\n", " grid_3D=True, slice_3D_var_str='mass_ratio',\n", " slice_3D_var_range=q_ranges,\n", " legend_pos = (3,3),\n", " verbose=False, **plot_properties)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Creating plots with several slices at different metallicities" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "TODO: add the plot" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Congratulations! You are now a POSYDON PSyGrid visualization expert!" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "posydon_env", "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": "3.11.5" } }, "nbformat": 4, "nbformat_minor": 2 }