{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "To obtain the data to run this tutorial, download the tar.gz file from https://zenodo.org/records/10668525 and unzip it. Then run the creating_h5 tutorial to create a .h5 file to use with this tutorial. Then set example_h5_filepath to be the path to that .h5 file.\n", "\n", "Once you have run the tutorial on the sample simulation, you can also try downloading a file from the MAYA catalog in the MAYA format (https://cgp.ph.utexas.edu/waveform) and using it with the tutorial." ] }, { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "# Gravitational Waves" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [], "source": [ "from mayawaves.coalescence import Coalescence\n", "import matplotlib.pyplot as plt\n", "import numpy as np" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Create a Coalescence object using the simulation h5 file" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [], "source": [ "example_h5_filename = \"D11_q5_a1_-0.362_-0.0548_-0.64_a2_-0.0013_0.001_-0.0838_m533.33.h5\"" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [], "source": [ "coalescence = Coalescence(example_h5_filename)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Read the $\\Psi_4$ data for a given mode and extraction radius\n", "### Note that the initial ~(75 + extraction_radius) M will be junk radiation and should be cut off for most analyses. That time is marked in the following tutorial with a vertical dashed line." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [], "source": [ "time_psi4, real, imag = coalescence.psi4_real_imag_for_mode(l=2, m=2, extraction_radius=75)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(time_psi4, real)\n", "plt.plot(time_psi4, imag)\n", "plt.xlabel('t/M')\n", "plt.ylabel(r'$\\Psi_{4. 22}$')\n", "plt.axvline(x=150, c='#a9a9a9', linestyle='--')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Read the strain data for a given mode and extraction radius" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [], "source": [ "time_strain, rh_plus, rh_cross = coalescence.strain_for_mode(l=2, m=2, extraction_radius=75)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(time_strain, rh_plus)\n", "plt.plot(time_strain, rh_cross)\n", "plt.axvline(x=150, c='#a9a9a9', linestyle='--')\n", "plt.xlabel('t/M')\n", "plt.ylabel(r'$rh_{22}$')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## If no extraction radius is given, the radiation is extrapolated to infinite radius" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [], "source": [ "time_strain_extrapolated, rh_plus_extrapolated, rh_cross_extrapolated = coalescence.strain_for_mode(l=2, m=2)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [ { "data": { "image/png": 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a/6lvAnf/38Cjfw/cX+wpWWC5O8a7Pvx9/NEXH8en+GKJURv4m59hSuDuD21pvJXeGO/4i7vwHz/1EL7Cmx6hfRr46NuAv/sF4Ozdhcc6sdLHcncCS9fw9RNrjKDO3wPYTeA5bwAu3ld4rIcudHHzoSaes7eGRy72gI2TgDdii7jvFDL1AIyYDrbYQnzf2Q6wykNgb/4JYPWRQk71J9YG2N8s4fo9TCG0z3ICee4b2Ov6yannj10fZzZGeOUNLDz2/Gl+/OGXsddO2s8gY7k7xp5GCfuaJQAA6V2ICGW4NpVcn1iLHN3nzp4G/Alw8MX8uucyz2mP2HitsoV6yUA5GAClBlMoQGZG+0o3epDxBjyYheiZUWhj10fJ1FlSI4ARqQK6HTN5hQolNHmxV1+O8gLFx+5mCm3sFHvAuNqhCGUbkVQo00xeuq5D12fL7L/69lPojj2cWOnjy4/wL9fjnwM0k9mlH/3slub4uQcjp6gwC+HEF8MomKI2/XC8B6LxPit+f/hT0QEPFTdTiezqf/7ya9AbeyzD+uJ9wP5bmHlm7fFCfhTHC/DEah837qvjOXvreHy5D1zkfoNb3speCzijg4Di0Ys9vOZ5e1C1dGauWnmEmW+OvIIRU3t2LseZjSGOzFdCYhovczI79mr22s1emAUudtjC+fJrmfO5t8pzKw69BAApRCh7GzbmqxYAwBqtMDKp72MH9LPDcwHg1OoAizULexs2xuv8vR75Afbayc56FwpljiuUGh0gsOpMoQDAuJ1+j11JaQ83AasGNA5G/U4kTNwAJVODTbnJCyZglmOEEjrlQ5MX+9wky9cbfIX0vMtjTXi2QxHKNmIrhPKqV70Kr3rVq2aO+Y2T67jtSAv1koGvCl/AU98CDh1nJo9zd21pjt8/3caeuo0333oAd5/eZCrgzHcBswK85F8xk84WQlm/f6aNxZqNO567hO+dZuYDnPk20DoCHH45G7sgHjjfQdnU8WMv3A8AePhCj5lzFp8DLFwPgBZKxlvujhFQ4PBcBYfnKljujeGJzn7P+UcAyEwzEcCi9AaOjxv3NXD93joeX+FKZ/E5QOswO2iG/wIAVnoT7G2UsL/FFIK3eQbQLWDhOubLyHnSD+fBQ41feKgFQyNwNzmBzB1lpDDDD7Led7BQs1GzDRgaUJmscoUym1AudMc40CpjX6MEIohPKJR+toNdEEqzYqJeMlAnIzhGLVIoGX6UZU4oR+YrMN0Oe1gqNTMLPjp+ANvQYYFdZ0xNwLBj5tphMsqLm4aDmA8lgMG7N/q+8ncWgSKUbUSSUIbu0/uQDh0PD5zr4PbrFnHr4RZzVFMKrDwM7H0BC8PsL+cmgGXh3jNt3Hq4hduOzGG1N8Fyd8JI6cBtzITiDgvZ9OPjNXHr4TmcWO2jP/FYeY1DLwEO3MqUwYycBYEn1wa4dqmKa5dqAIALK8vAaJMt3nPXsIMKKAKxAB9olXFwrgxKgdHaU0B1DzO91PbOXISBKNv7yHwFh+bKON8eA93zQOMA0OSEUmCc1d4ES3UbC1ULtqGB9lbYHAhhY81QKOe5Qjk8X8beRonNAYQRQm1Ppp9BgFKKzshFq2yCEIJDZQ8Gddj1RULglDpWa70JFms29jZKoH3+QLN0Iz8vO8+qw01ezbKJRslAHUOM9ZqkUDYzzmHkcHSxirLHCcWuZ2awT1wftqGFhDKiBjN5SYQy4OZmE/zhyBsDlCIIEDN5Ee73owU/o1c7FKFsI5Jhw9MUyoMPPogHH3wwdz8APLE6gB9QPP9AI4wQcjZOM8fmnucB+17ADlzOj7iR4XgBnlwf4Mb9DVy/hy3aT6z0WAG9PTcBS89lBxYsj+F4AU6tDfC8/Q08d18NlAJPXVxjT+1LNwJ7n88IqmBBwHPtEQ7NldEsm2iWTfQunmI7WkeAFieUAgpF5P8caJVwaI6ZmbyN00DzYDRejrlGxgW+kO9rlnCoVcb59gC0d4GRQOMgmLlpOqH0Jx6Gjo89dRuEECzVbVjjVUYEABtnFqFwgtzXLOFAqwRreIGdr5usjlWGWUhg4PjwAopWxQQAHC5z01J5jv0AjLRzsD6YcJNXCUQQwfwx5t/IIZSwvLxtoml6MEiAkTZdoYiyRUfmy6j6Xa5QGpn+lokXwDI0GJQRyjAwmELxI0IR3z1LEApYiLBPKXQianlRELDjaEYCpUIailC2Ecmw4aHslF9+CJhEuQwrKytYWZle9uLkKjv+uj01XLdUgx9QrD1xL9u553nA/HXs980nC83v7OYQAQWuma/g2iVW2+js+bMs9HT+2mi8jNj/qeMtVHFskRHUymmerDl/LTB3jM/v1MyxKKU4uznCwVYFAHDNQgXuBieP1jVsATXKBRUKWzQPtMo4xMfTeudYHgTAFE8BZSEI5UCrhAOtMupeByTwgPoBwLCYQpjhv1jtsUVuqW4DABaqFsoOD6MFuMLIJwSABT7MVUzYho75qoWSswlUl9jO6iJzrOdAPPk3y4xQDpT4oltqSYSSrVCCgIbmssWajbLXATUrzF9Rmc8llJGIsLJ0zGmMDAekwhQHkMpoB4Du2IWpE+ytl1CnffilKQrFYyYvkxPKyNe5yStyrAuTV6hQACBw44mNNAjNX6o3SjEoQtlG5PpQTv534H0/AHzsHVsa7+RKHxphi6swA3XPc4fuwvXMsarbhQnlqQ3mtDy6WMG+RgkVS4/Gmz8G2DU2ZgH/AsDLkoPN75qFCggBBufEeNeyMQFgYzahbA5dDB0/VBSH5yowRJZ06wg3D80OcwWY0lmoWiiZOvY0bAAUleGFyEzVPMRUwYyEwAudEZplExXLwIFWGXsJX3gbzMfDyCA/UQ8AVrhvQBDKfNVCw9uIFEplIXdhFtgcuKFDfb5qo+J1IzKoLLLcmByIzPpmmZ2/3+SO63KL+ShAchVKd+zCCygWazZaFRMt9BGUxHUXcols6PgwNALL0NDU2PX6pBIWaITTT53THblolEy0qhbqZMh8LnYj24fiBbBNjZnuAIwCg/mkfNmHwojEIJKVwHfjCgUBqzgMRp4Ks6EIZRuRNHkNHR/46u+zXhAA8Oint5Q3cnJ1gCPzFdiGjmOL7Ms4XnuKkUh1iVWjnLumOKHwENAj81UQQnB4rhKRx/y10esWCeXIfAUlU8e+Rgl042Q0Tv0AJ7zZhHJ2k40lCGVPw0ZtcpEtFOJpvLa3UDHD5c6Y+RoAlEwdB+wJzGDEzVRgvhTfmdmH/Hx7jP081HZvw8Z+QSj1A9E4M+az2meL3J46G2exaqBBu+xcgC3M7nBqcuPGwGE1scAUTpX2QMs8O7y6ALiD3Oi3pEJZMvjnr9RiyXzlVq4PZY3PfbFmMUIhfXh2K5p3znlDx0fZZBGMNcreV5dWWOQWkKlQemMPDW7qLMPBhNjM5JVQKEFAuVNegxE4cKmOsU9STvkRn4MVUygegiBeHFIoFMUnxaAIZRuRUigTF/jmH7Ow19fzmk3L0/0mMp7aGOCaBUYkwq/ATDcHoyqpc0cLLdgA8OT6EFVLx2KNP622Sij1TwMgkY+igE0/nN/6ELahYQ9/+t7fLKE0OMeefMstRnjNQ4XMS7IjHWALcDNoI6guRe+1tqdQccG1gYMF/h4B4PoKX6xlMxMwU10sd8dh7sZCzcZewp/khUKpLs0cI2nyOmwNoSMAFXMQpdenmK02hw7mQoVioYUeHKvFdopeIDlms26CUBZ0oVDmotcchbLWZwpgsWZjrmJhjvQxMZvReTmEMnJ8lC1GKOWAkUcfFUA3AKOUrVDGLuolAzVbRwkTTEiJmbx8J/YQJszKlqFBCxw4MDB2fa5QnNhxtqnBhA+fGGyj78T6oTCnPBtPmbyKQRHKNiKZ2Ki7PSbZb3krcMPr2EaeGGdZFizLSg4Rw8XOGAd4qCnAFuzK6ELkCwCYGWdG2KnAhc4IB1plEL5A72+WUR0vs0XN5NdpHAC6FzKrvCZxbpM50cV4+5ollCcr0RO8GG9KWKqAWHgFOe1t2FhAB64o/AcAtX2FFMrGYIKFanRvrynzp/cqH0sonhljbQ4dzEvKoAW+EIroqBonlCmmszCEli/o+032xD0W70sQwhSzV3weJloYYKBzf8QMQpKz1gGgSdh7GBv8/CmEIpNRq2JiDj2MdE4opWZuD5Gh66PCCaUUsOt1KfNlwarGfInytRolE1WDwiI+xrCZyQuImb0mLvtc2oYOeBO4MJllwLDD8ioA4PoBTF2DSTw4GntIge+yFsChUz4If5/WakIhwq4iFELI6wkhjxJCThBC3p2xnxBC/pjvv48Q8iJp35OEkPsJIfcQQraWfLFNSCqUksu/qJUFpiSMEgv5BXD77bfj9ttvzx1r4vlY6zvY1yiH2w60ymg6K5EvAGA+j9FGoZIpIh8iHK9ZQsPbQFDbFx3UOMjqG015Yo7GG8fG29coo+6ug9al8er7Cvk91voOCEHoK9hTL2GRdDC05qODantYAMGM5MaNvoP5qh3+fcjiJhaxeAtCmaEuOiMXDU4EJVPHkjGES2y2eAGFTGe9sYeqpUPXGOnuMdjcu5T7EwQ55fhBKKXYHLhoVbnJynJgEh99jS+2oWO9nfsegIjQ6nSACTXRD0x+/nyuU16E3lZtA3MVCy3SR18QWY5/A2BO+bLFVIHJy8d3A/45sapTTF4G6rwk/Rh25HOREhbFQ5ttaIA/gUMsti3hlHc8CktnCsXR+LW5U142eenC5KWivAph1xAKIUQH8F4AbwBwE4C3EUJuShz2BgA38J93AnhfYv8dlNJbKaXHr/R8LwXJKK+qxxeayjyzVy9cXzgkV5SiEDZ8ADjYMDBP1+MKpc7NOAVUwAqv6SSwv1XGHrKJcWkpOqjB1UUBs9dKLzFes4RFbMKt7JHmt48pnhlPgGv9CeYqFgydfWT3NGwskC56+lx0kDBZTVEWY9fHwPFjJq99Bl/AxNN8AZNXEFD0J15IKACwZI4jZQBIxJRPvr2xi3opGmNeZ0/RG0E5PqccAh84Phw/CBXKos6e7jvg/ogSVww5pNYZuTA0EiqGGu2hgyp6Y+5byPBTCIjw36qto1k20MQAXXAiExFYGQvx0IkUCuFk0Pb4/8Oq55u8bBNVUUEYFosmA2L+JeGntA0N8BymUNyA+eokp7zjB7B0AhMeM58BoVNeLl+vExXltRXsGkIB8FIAJyilT1BKHQAfBfCmxDFvAvAXlOHbAFqEkP3bPdFLRVKhtIgwkfCn7LmjYdjrfffdh/vuy69NJedACFxf6kEHhVuVbkmd/z7Dt0ApZQl2jYgADjRL2Eva6JmL0YHCP9CdrirC8SRC2duwsIQ2+vJ49QPsiz4l1wFghCKbqfbWbCygi03SjA6qzSbPjQFbkOalsZY0tmA6lhShRLSpxNQbe6A0erIHgHl9xHwB4XwEoUwfp14yolMIWxw7glDEZyOHlDb5+xE+lCY3u7XFwj6DUNojF62KGZoly34fbVpFXxCKXQfG2UpDFDet2QbqZAyDBOhQ/nksNQDQTHKQCQVCofj8PlrVnCgvdp+qGs8toRZgCoUSKVJBKJahAd4YHjExDk1ekUJxvQBlnZGFTCgBlYtDRhFfRZNvr3bsJkI5CED2zp7l24oeQwF8nhByNyHknVdslk8DMqGUTA3zhD/5iYic1hGW5Ecp1tfXsb6ebze/ICXnCRy22BdxXZPNQHyRnWFW6oxcOH4QRhsBwJ6ajgV00JbHE5FQMxRKd+xh4sXHO2SPYBEfG5rk9xDmrxmEt953sFiLyKmhDWATD+uQCKU63QENZBPKPOmiS8vYdLhzX9MZqUwhAtFDpSGRQUsboSNMVUD0f51Clr2JGycUsP/rps/vm81Dd3MIIXw/XKHUAvaZ2hTzKKBQZJVV8rpcofCy7Tm5HkDUards6qHS6AlCyfBvCIykKC+4I/jQ0BX3PsPkFQQUI1eUpGfvdxBICsWNjo9MXjrgO3A1C5PQKR9XKGWDHRsSSpiHEmXKK0LZGnYToZCMbUk7yLRjbqeUvgjMLPbLhJDMQliEkHcSQu4ihNy1ujrdRn65IYcNVywj7cRtXcPswTMS2QBZoUQ+lH0m+2KtetKiVlChrCSc3gCwRHrQCY0TVGURACkQvcTmt0dSPHvAFtZ1rZUxv+m9xNf6EyxKcyP8Hq34jeigGYl4ALDOF2BZ7dT9DjZoI/QnAJga9gqkfQ8AUMcAm0H0/whLiUwjlHHcbFbmTuoNjy9ympabEQ5EjaLmuA+l7LLj1n3+GbBqTG3lnN8fe6jbEaFZbhcdWkVPtFawG6xwou+mz52wRlaEkJAEOsIXIpIUM9TN0PUiheIMMUYJQ+5Mh11LOeXHnCQqlo4SL/jYD0zA4mowQ6HYpgZ4E/hEdspLCsUPUNbYuCPwz5XvxUxehAahDwVUEUoR7CZCOQtA8ibjEIDkKpN7DKVUvK4A+DiYCS0FSukHKKXHKaXHl5aWsg65YpAVSqtsYp70QDUz+vJtoR7Vxc4YddtATVoM5rgJbTWQCKWyAGjGTEIRxfdkJ3rdZQrpYtCKDtQNZoaZlbCXCIcFgLmALdDLgez3EP6K6cl7a30nRgLi+hf9WrStMlsRrPPcCVmhVLw2NlAPI54ATI1uAqIIJ5kMqkEf6145igia4RAHhMlLUgjBAGNqou1Iz06lZr7JKowSY+9H45V6VwWhEMJIIef8wcRDVfoMmW4PPVQiH0qoNNIqJXYu398RvpBS/nksbJif5w7gaHZUNcKqpRRKWGre0qH5jDz6vskKlgIxp7wT86FM4GsWCxtORHk5XoCKxo4dhyYvB0GAiFAg+VOUU74QdhOh3AngBkLIMUKIBeCtAJK10j8J4Gd4tNfLAXQopRcIIVVCSB0ACCFVAD8CoFgBq22E7JQXYZae3YryKMJ6VE/OHGulN475OwCgEbCnwWVXIhRNY2avWQqlm1Yo2oCdc85rxg/eQn6FPF5lws4577eiAwUJTIkaG7s++hMvRk7i+uccyQluNxh5TlEWwkS0IJnPSs4m1mkj6scOMDLIKKMuIExeskJh/odKuADCqjN1MFWhxE1ehtNDH5W4WppCKEJJhKa3CTtu1ZXuVU5VXoCrDIlQNG+IAS3FTV5ADqH4qNpCaTASaPv8ulNMXnEfygiOVsYgvGdpH4qoKFEy9VCNdP0CTnl/Ak+z2PdOOOU52Tt+gJLOjg0VSuDy8vXR9zRqB6wIpQiM2YdsDyilHiHkXQA+B0AH8GeU0gcJIb/A978fwKcBvBHACQBDAD/LT98L4OPcsWgA+DCldGuNQLYBjhfgjucuoVYy8WO37Efw0T4cq4VwSWodYa/t0yiXD+UNA4AtjLEndgBlrwuPajg/NuMHTymDIRCavGSS4iT0lLxoA5xQZozXFQolUjyE51KcdSTCK7WmFhIE4hnZITihPDWRnOCEcGUx3eRl6iTm+zAnG9igN4KMEgpF9EjJQCepUCiF5fXQRRXtkcsWaU1j728aMY3iTnmMuxiSSqiAAPAx8k1WAFArRUrBgYlNOUp8CiENHR9VsbgDIE4fA5TgyE55Pm7q2hMvUsicBDZdfj8EoSSuSynzh8gmL1crhfW9mEJJEIorFIoRqpGub0hOeYlQXMmH4k3gkypcP2C11QBmujMsZvIy2bHDmMkLcUIJQ4iVyasIdg2hAACl9NNgpCFve7/0OwXwyxnnPQHghVd8gk8TE8/H/lYZv/2Wm3H/2Q6GhGU0h8urXWOLf/spvPzHfm3qWJsDF9csVGLbtNE62qSGtUGiX0l1cWY9qPX+BBVLZ19aAX7OU+Ny/ODq4tSe4QArKWIZWmzhxmgTDkxcHErmHEK4AzyfoNb7wu8hkR1/6j8ziqs0lOenKpT20EWzbIVRTaAU+ngDm6hD35LJi93jUKE4fWgI0KUVdIZu2CwL5VbuOGOXhfw2JJMXJl2MtGpaoeTUO+tP3NAxzs7vYaRVwvmF5xcxefkeiDfGRKuwNgPADIXiRZ8XTgJr7nST19gNQCnCTHm4Q3h6CYOJpFB8hy38OrsvsskLIx4F5xqSUz4vbHiCQGsxM5guSGMCGBYcL0CJm7yGVOxzEARm1A8FgCaIRBFKIewmk9ezHhMvgMXzKMqWjhb6GBkJc1LrmkIl2DeHTswPAAAYbaCnNcMn+hAzFmyAhY+KelDReJtwiI0LyTyzAiavTa6gwoWbz2+g1bE2SDh4ZxBe0vHMxmrD1WysjBKF+yrzM30fzbJEct4YxHfQQS1sTQuA9zfv57a/7YzYQh4+3XM/CVMoCdNZznyEnyKpUCZGLTSpAZhKCP0xUwnhfZ70MdGqxc/PUBmeUS3kQ4mZy7gjfc0RCkUQUdzkJXwlFTMiFF8vRz6UkCTS/d+ZyYsTim9mHhv5UHTAn8DXbbg+jZJN+f/T9SlsbvIaBJLJK9YCGGH5eqKivApBEco2QlRBBdjT1hzp49wk8fTfOgx0zuD73/8+vv/972eOQynF5tBBK0kAww2MjWboeA5RWZz61A6wqrOyPwAAMNrE2GQEFSs9UVlkZpyMyB+BzaGbPZ7RCP0Y0Xhbj6jCuA3HbMAPaLT4ATMVSnccD5MVC61nZjjl+XWmjRMu5HycDq2mzVU5Tnnhp4gRyqQLx6htyYdSjymcHhwjYw4Z53t+gIkXpFQGNasZPpS0L2TgeKglfCirglCEOSoRsRWpDeGUHyIwypHfKYMkxq6kUPj2jmuy8G6jlKlQLJ7YSDWLKxT+XeGOeccLUCZJkxfzocQVSpQ1rzAbilC2CZTyKqgi07vGSlXctZJotMXrUbXbbbTb7cyx+hMPrk8xX00s2MMNTKxWWLQvRHWBNd2aUn6lPXTjCgAARptwzSbGbhB94QEpeztfVXRGTlgfKhqvDcdqZRDe/FQfT1QzSiLQcQeexdTdpuxMr0z3oYiaUPI4AODbDbSTizCQqy46owRh8nG6SYd6AYUSn08XvllPm6ycXmbrZaFQQkx68IwqujLJ5oQdC0d46Fjniz+1ZIUyhVAmfqRQnEih+AFl/iOzGlvsgcgfUpZ8KIFRxsQL2HkZkVsxk5dwynv8umY54ZSXSq94YwQ6d8obIpKLffYcP0BJY+9xQPnnilcbJjEfijJ5bQWKULYJrk9BKX9yAmCM12HBw0U6j1Nrkk2ptod9eadI7E1uMkqZqIbr8EtzGQv2Qrg/d8yhg1Y5rXh83t8iZkYrUOuqPcwwoQ034NstDBw/fOpk85tu8koWUAQAjNqgNiOUjVh0FlcoOU+U3UTeh1hoSamFTpZCmVIYMYuYurSSUDqtXJUTmbziCiOw6mmFAuSrhITCCcwa+hMPnogqtBtswU98puRMdwChygisWmSC2oJT3tNs+NAj/0tGxFaMHABGEJxEho6XY/KSo7yGcImJoeBLs5Kfh+I7oJrNFIpwyocmrwC2ljB5+Q4CylSJT5nyFNWGiSKUQlCEsk0QyVklYTt+/AsAgBP0AM61pWKGInM8yDcniQU05kOhFBhtgJbnMXD8uOqZUcIcYE/caUWxGS6sm/IiWYRQZoy3Lpu9hMkrh0Q7I5f1rjCkj+u4DcITBzdjY82zp9CcApGMCORAgTYAgJSbcaUzg1DSCoWNMyC1DIXSzsxjSJm8Ah9weqB2A72xG/mGphBKlkIJOAlEKkP0GUku7tyfEZICJw2zFtbpglVloc8JQnH9AI4XxHwonsGIISKUSqqPy1Dq1sgGGoQJikPHlxRKvsnL1UrRA4lZiWXKCx+KpTOFQnlEV8wpz4+zSVKhsBbABBQej1cSTnmiwoYLQRHKNkF8AWxBKHf+/+AsPh/fDJ4fXxBFqRQ/2xkMpOs3AWCLhe9A5yXYY4pihkKhlKI9zCKADRCeJxLL0QhLnEwbz4mbqABgtAlSmcsZj06tiJv2x3SgVzLIbkq2PKU014eiV1rZPpTcboWs+m1yHJSaaUIBDfND4mMkCIUv2lq5gYACfaESppRP6U0SCsXph6oiWtg5oST8GYI0kn4QUpIUCiGZ5VeEuqlK6iYQhDKWrptIUhylfCiyQvEjheKlFYoIG3a1Umg6g1lOKBTWDdIgAAIPVBcKJemUD2AJH4qorCyZvHy+NAqTl1IoxaAIZZsg+jSUDI2piQv3Atf9MCi0+JMxzxyv6x7q9XrWUKn6TQBCR7ReY4t9bHGc4fPoTzx4AY2bvCgFRpswagvp8WYstkPHh+vTOEG5I8AbhYQXMy+FhJetoDLV07gNo8rm0Rtn+D4yFt+xG8D1aaaysKrzGUSQ/x7zfCh6uZnwxUwhg6TJiysQjZ8TLsxTxkiWTsGkB5JHKInFPSQFK1IZ7Pr1KIwXYAmaCULph+YyQUZ9BPw6/Ql//wn1ACRMXr4H+A40SzZ5pRWKOMc2NMAdwdNKGItSLWYlkYcSMCUr6nYZNryAIiD8HvsOKKVwfQqLiLBhQSg+fBpAA4XHl8YwbDhVBUohC4pQtglCoZRMnX2xqQ+zvgjL0OI+AK5Qjjc3cPx4dhX+KIxWJhRGFnaDE8ooYVKSjkki2WQJALe5e7Dri7FrsjfRYq85i61YUOfk8fixZn0hdgyAaPHOic5KFjBE4AOTLqzafLg/mlv+4hsmI2b4PsxqE/2JxxzDAPM7TMlyz/ShWHXUq6V4hNUUH4RwnIcmK173Sq+w9yAW/PA9ZSi4mB/DcwBvDI3ngITnhyavWSqD7TdsSaEAmQUbB2HpeskpzyO7QlNbxnlCoZSlEGDNrkb7MnJLxi4rJqlphBWT1JlCoZSmWvtOvCB0yAMA5aYuVxOEMgkrVtjcKd/nlY5p4IFw35sPRpRR5WGlUIpAEco2QTgLS6YeLi6k1MBcxcSGHJUlii9OKZ2+MXCgayThC2CLcbnJFE7aDERyfSgRoaQVT6mxAEISCkU3WBXcPELh5BMzefFjS/UMBTUjRDdPDWiVOdRsIx0RJR0jI6wQnDRVGSVUq/zpWiyGmpZbA2vs+ph4Qdp0VmqiWTbj7y3MGE/7P3pjFzXbCJtrCYVilNl76KUURtxk5QcUQ8ePTF58v14uZvKSG2Sx8wf8/AaGjh/5cLIIJetcTlyjWBmVpELhfhsrIhSdE0rM5JXIQ6lIiZCBwY5hRR9LqRpdLEuefQY17ox3SUS6rs/el8XNWQOuUALfCwkkVCihyUv5UIpAEco2IVIokoPTbqBVtuJP2LoBVBdx12Ydd92V3Xhyk0dQxZIGOQFU5xihxHwUmj41NDdUPBmKQqsuoFEy4+MBUzPAMxUPP7baYg79VBIhUNyHIoiHL+BFFUo3T6GUmqEfI54Q2MgkgoiY4lFnKLfQKJkJE1x+Tave2Is/FPBrWbUWAInccpIL+8koLX4NsywUDl/Yc5zycoMsdn4fAIFV5orBzSeGVITYpA/CrzOYRigZZVQMW7qekVYoQ8ePglkkQomKPsoKxecRXsLkxcKFPUgKRTjuwXurBJFCEUmNQqHonEg0RSiFoAhlmyBsvrJCgV1Hs5JYEAGgsoCeZ6DXy+5DsTlwMnNQAKA+t5cfkxiznJ9BLsxPcQLg5qfyHFoVM654+Pa8fA9BKHMZiseqL8A2tLgPZas5H4J4Si3US0aCBPhYUxVKmlAaWYRiZxdVTJVdkcapl4x4oqUtIrTS/8tkt0ZxLZub8vpJk1UOoUROfUYYZiVh8rLqsf0Cw6QPxekDVhUVm/3fBlPqa6X8L84AeoldJ6rLlW3yIoQ/WPEIMLOUZfKKR3llKZSxG7DjJYUSVqPgJEO4M94RVaZ8l0V9ATC5D2XES69Q3wuTGr3Q5MUVCpTJqwgUoWwTQoVi6FHEj11PP2EDzOw1I2w4lSU/2gBAYFTnUC8ZcZ8HMENRsGNjY4pjy/NoVay4zwOYmrAn1EeWQhEEFTMLhaqinRrL8VhSZStLoZRbaKQUSr6JSRBBXBUIQmHj91IJgelxIl9MepxailDq0f4Ekt0aBaGU68wEGCoUw2aZ3klCCX0wwqnP9tvVFttfwIdCiJQT4vQBqxYqluEkX2lEEWKR/0VPKpSEwxxgaqNs6kxdc9IwuYkuL2w4WZ1YkM5IKBQ3TiiiFwoQEYorQoO9SKGYYPdnDLaPBn5Yrt6nwuQVdW9UmA1FKNuEKA9FiymUViahzGdmRQtsDpx4hBfAHO7lFqDpfMFOEspcrkkpM3FwGCmUudzxppu84qpCIpSyFSc8TWekkjG/sOxKJVuhNMtm3Amu8z4ZGeSUVXI+UhYZhJLjQ5mudEw4fhBmbM8yeSXreAFApcaj1ybSXDJUgoimqiXCjkvcZDYoEDYcNsgS++1aGNIbT1DMiRCTQo6NMnuvUfn+GiMUKQcnq/2vVRI+FI/9/4ieIpSSKRMKIx1m8iolFIof1vECAGIxk5dD+PmSU97ieSguDFCix0xeXmjyYu9FUwqlEBShbBNyTV5JJy7AwnynKJTNoROP8AIYAfBorrmKlWOiyiaAzaGDum3A1KWPg1i0y3Nolc204qnk18xqDx2UTC1aBACmoHQbMCuM8JIkWmplzi+7jhdf5EOfRYJ8c2pfCeKpT/OhJP0xWfkjObXFhAkOkIjJKAGamRPllWHy0gxUq2yB7SeVTmKMXjJKTPhQKk1YhhblsVhVACQzsbEila6HMwCsamjGihFDSqFITnnPAXwHxK6ibOpxkxcQUykjx5OSGhlp2BVhKvNZ3ksi+z1p8hKEMgoJRWrtG0Z5sW26MHkJhSKbvDhJODAATQf13bDsio+kQgmAtRPA3R+CQj4UoWwTosTGhFO+YmLk+tETLQBUFtAankKr2UyNEwQUm0M3w4eyHvYwb1WsLSmUztCNKwCAEYBVAwyLj5dBUON2ZgZ4ZtkVkSVPCFoVM+5DAXJLlKT6jgCSU76VbTLMIZTsjHuuLMpCoRRwyied+zyMWSamkFBEYmBmlFeGQrEbMAwdZVOP8jkAppZSCiPpQ4keVGq2ESkUQtj/MuP8WJa90wesOipcdQxivpB+rJzNYOLB0AhbvAVRWXVUbV1yynPzlURGQ8dHxYxHlZnlGgyNhA57lqwYd8rLiZCaJTvlSywJks9t4vE8FE4omskIZUI5IUkmL4Oy9+dBB4gO6nuRyYsrFIObxTQEwCd+Cfhv/3pqB86rHYpQtgmxPJSEQgESuRSVBdx28aO47bnXpMbpjVmuRHrBlhVKhgIoz7Gn7QxT2ubQySGAeT6ehd5Yqg0lxqNBpimnnZnZHpVdaZWteJSXGC/ji5qpBkZt9tRvltEoG/G6VcAUhZLIbqc0pVBSJq9JL1UXLCK5uDJAqYm6nUNMiftEKc12ynMTWa1kROVPAN5rPT5GP6lQwoWd+UHiCifbsS7Ig12/B9i1SKHIPhTQmGpgvVC4LyS8bhVlS5fChrmpTUpuHLl+SqHALMfPS2S/j4TJKwhYuwGufMIoLyCsLDFxuULhf+uc1CKn/CRUKAY8UBD40EA1AzTwJZOXyJSXFMqZ7/AbvwyFbChC2SbEGv9Muiw8UjfDJ+OYqUXU3spIRMys4wVwk1dEAJvJEvFTop8y624NN8JwXrEvMxkxw0zVHmZUGh5uhvNLOeXF/KaYvFJO+XILICQkmrgzPYdQxolkRHfETIulJkxdQ9nU02HD1E+Ze7pjDyVTY7Z6IFZ2pZZHTAmFMvFY1n6WQgGAum1EPgwg0+QVhg0nFYrFSCFGSBmFGgeOH0VpAZHJK0uhiP3htf1UUUlBRoNJ/nlxHwpXIWYVlRihxJ35YYdHXo5Ft4UPRaoizP0ooQ+F/62Z7HsyCYRCceB47AHBgIdAMwEQTihphSJ8J3IXxyzzpQKDIpRtgjARWLrGFw5mNxaRVXGFMo9vH/h5fPu+x1LjbGTV8QJihNIsm+hmKQog06zE6njlmKggEUosGZH3gs8IHZ5q8gJzsE+8IF5xOMfkFSVJJhQKJ0hBEEUaSuXV8RJRZumQ3+w2tp1krxdpnEylU2qmFqFMxz43mwFcocjvKcMpL64RlU7psRBhTYubvMT5ycTGTJOXrFDyEytjnR4nkTIqW7pUZyvH5JUilDIqlpEweWUkNrpxQmFhxoJQpKKPvBcKABjCKR9QFinnO6FTPiIUAESLhQ2HtbxEHkqMUNKqXIFhy4RCCHkdIeSDhJBb+d/vvOyzehZiwIv4EUK4aYERiliYkrW3RuYcRuNxahyxwMaivJwhe3oLTVQZZrRZiiJlotqQFIUVu/bM8XIrDbfYeGUxXkZV3pR5iYf6ZikUaXuRhlTdkZdLBEAGoeRU+U0pnTCAoSWFHyfKryTGiHqhZCuUWkGFUrX0eKY9/1zVSkakMMT5mSavhEKxZR+KbPJCjBgGjpfqhSIc+qnoMuk85pQX50WEUpKd+VJuSRBQjN0g1q3R5ImQY8+PFAonm9CHwqO8dB5iHLYB9h24kg+FamwulBhAzOQVL72iIQAV5JPhD1NguBSF8ksAfgPAPyeE/DCAWy/rjJ6l6E28+JMkt5W3cnwoADI7IoaFIWWFIlSC8KHwfdlVeOMEEAQUnZEbz5IXx/FzxL7s8dqx0yil/Ak+w8dTjkxeQCJbvtRi5qeEeakzclG19HgE2rgTKpRmaDLMCPdNkBMjguwKwQAjp5TJC0gtIHmlYKb6YsbZhJLKQylFhJLKZ0k61cfJXij9MOekmiSkLIXi+FFxxyAIExstXWNO8qkmLy9t8uIKZTjTKZ+I2CIEFfk8ySkvwu0rlh4SkCEnQhpxhTIJS68wQjJtrlBETxQvChvWqAeqsc9pwMOGBYGIPBSDm7x0BPD4sd1OfgO3qx2XQiirlNI2pfTXAfwIgJdc5jk9K9GXI3pmKZQphDKtMOSlKIre2ENAgaaseIIg5ZSXrx0bLxE6PHR8OH6QUWl4LDnls0xoLfaaMHuxSsNJcmpLCiWrZEoz0/eRKjIZEgEbq14y450O7SkKJYdQxCKbSpBMKZSMEObJDIXiDmI9Y1JRWtLnqmYlTF52LTOxMXzIcSNSIHyBD0u35Jq89Ph2q4pqjFCywoZlp3wUApwmFKY4YuH2QqGUMpzysg/FlExe3CQW9kSRnPI6dUPVQTUdCDwQwk1ePG9F59n0BAEGPtu2vJpdwkjh0gjl78UvlNJ3A/iLyzedZy9CE4Hn8C8+WzgyTTZmmSV3BemIrI2BC1MnqMr5A8OEQslUFC32mlAUmXW8Jl0WwSX5PAAU6mg4rdJwcrzskvjx+aVIAOA5H2yxz4ySyzBVUUpzuyzGTV5ZCiVuPptmOjO4cz9u8kpHiwlFFT5kUBonhFKGwgBiizrrhSL/36Lzq7aRKEEfVygBLyxZyXCsR+fnK5Ss9r+w6yhbRjx/JTHnkZvMemeEUjb1RNOsYXi82C9IxrCr0Eii9pc3QRCwsvS2ZPIySrLJywR8NwwbZoTCTV5g37dULS/+ty413RoN0uZUBYZLIZSh7EMBkN+oXCFEf+zhxfRB4H8/BKw8GH7xdY2gXjJSuRQL/jIWgtXUOJsDJ6MwJFcoCUXRLlByfmodL6546rwibsxEpRtsoUyON6XScOTknzK/lEJx0JRDfYMgZvIKnfIzCkQOHB8BTVYabseOb5TMtOksMQ6bU9J01mal7nnNrHqSDOx6SjGlFIrTZyQumbwGE4+VaBdjADE/Sn/spnqhhIRk6xg48vlxp75wgNcS/eQFCVSylEaeyWuSVCjCFxI3eTleAC+gUqmXQWgWy1MoIvLLNrVwG7EqKJk6j/ISCmUUlaU39NAEZvKcFdcPwkKSTqhQfFCdl13RdNAgkKK84iYvgJEKALhD5UPJg/KhbBN6Ew8vdb4bVUEVCwSQmZx3i38vbpl8NzXOxtBJhwyLBZsrlEwFkEMAm1PreDECIISglZXRX26lorwyKw0P4wSV6TcKFVR8fil/hdPj6okdX7F0GBqZWXE4t9IwEKnFlEJJK50gYPkjKZOX3WAl75Hl3E9XC075UISPRZi8SgZcn4bh5pmEkmXysiKFQqmc7V5nZiGeh5TXC0UQStU24sUhgZCQKKXxKC9nAIBluFd4lFcQUIlQuNoQvVBi3RrL4bZhLGxYmLzS/VNgliNFI/lQRBO7MLFRM2DxJMpJhlNeC1yWzwQgAGv4pSUUihzdZVH23fVGPfaZTvikFJQPZdswmHhoQXqykQillVlxeDGzf4lQKDGECoURQN02YGikUIFIYcaKRXlJhSEFmlm5IxnlXKaVrhfzq1g6TJ3k5LW04/ObUmkYYGSXLhDJ9sUIJa/+llEKQ0/rJQMTT6rDZZYBzYg51PsO9zll1PESYL6YhMkLiBFTb+yCEObriO0rRXkogFzgMV0xOOWUd+ImLyCryVY/Nq5cLRhAqEYqlp5IbIyOmXClEUuotGrMuc6JbOz5jGClro1DV+qFAnAfSnS9WJRXklCksGGYkkIxozwU8X8LExuNEgvTB1gPFCMeNqwFLqjOCYXoAI3yUAKSVigWnOg+/8kPAR/+KSjEcSmE8inxy+X2oRBCXk8IeZQQcoIQ8u6M/YQQ8sd8/32EkBcVPXen0Rt72ONdiDYkFEqyVMo37FfjG6UfTo2TqVCGG2xB09kXnPDyJkXqeWUqlGGcAABmRktnt6dL4otj5mYonnQfkxZ7neWUl+p4CYi8m2istKkqqjScTwRR+RW5bErcoT6tp4pAfj6LNM6YqQtNhPyGCiXKQwHkniiCUCRSkhVKwgcTRpvl5JIMkx0XBVEJH4olKRSzDFYLjBFDVLpecsrbkakMQFxt8PNi7X8BTihcoZg6hqILo1lmEX++m+mUh1mBbWrxsGFvEk8e9saAboVldpgPhUV5iQZbskKhJKFQqFAokd9LVCe2JptA5zTw1Nex1o1XU77aYcw+hIGbt/4ZgDYhZAHAfQAeoJT+p8sxEUKIDuC9AF4H4CyAOwkhn6SUPiQd9gYAN/CflwF4H4CXFTx3xzB2fQwdHw1fMg+JBRQsL+NCJ26XdbQKQNPOv82Bg7kpdbzCMSsWOkkCKLVSC/bUysCVaMxW2cTFbiIvpjwHdM4UGE9ULpYUTzlRz8uus0AEiaDGro+xG+Q012qFmxolY6YPJSSCZLdGsdgDsZDfxRq3zSfqeWXWFpOizsQ459tRYl5WxWHWXCsRCCEdK0rSp/vCR2an/kSKHHSHzBQoFIqVUChCZUwSCiUVqcXOr9iSCUrUAgsJJYOMQmUjlW2p8esmTV4ibNgZAi3ulLd0xolegFJYwn6Y6ZSHWUbJ0DF2pCgvdxQRisl9KIYNXSPQNcKjvCzAG4dOeUJdplrAFAqhUfl6j4haXukqw/vc6DP/+c/+HX5w+N/xrfqP4PVveDPcCw9hbaJhrlHBvD6BWaqxe2dV2Vxl3+ezEIUJBcBfAfhlfs4tAN4M4PkArr9Mc3kpgBOU0icAgBDyUQBvAiCTwpsA/AVlnsZvE0JahJD9AI4WOPfy4VvvZQvabf+s0OHrPHek6sqEEj3RZpYi0Q22QDjD0HHp85yRVOl6qY5XOGbZzGiyNQesxG9Je+igUZLa0IrxgNii3ayYeORiouREeS4VNpxdaXiTVxouS+85oXgI4Sa5dripm7d4AyllkQoblo8F0JvkVBqWiSCrDleihH2odJLEtBh9Deq2mXDKZ5u86lk5MVLYMDsuqVDY/2Do+KBUrjTcix1XzTOZceJIN8iKHOvs+noi0z4q3SKUSywPxUooFNdLnRcpFNmHUomdx+p2RU22RjkKpWzpCYUSmbwsnZu8uMPd1Akzcxk2MO7A8QMYGgHxXRCNXSuADiPwQ4VCwyivNKHsp1F77lc/+B4cIBs4gr/Fmfv+Jxwmq1hMncGnCB2OVsbYaKBr70efVOEFFBQEFNtPNDe8489Rb87PPnAL2AqhnKCUfpz//reXdRYMBwHIj7tnwVTIrGMOFjwXQJjZ/04AOHLkyNZnGfjA418Anvgy0DkLvPo3Z56y3p/AhgPTk/IipIVsoWZjc+jAD2i0sIus3NFGSCjdkYuAZpVdWQdqe2ObWhULZzcTcjzL5zFy0+ONNpnpRY8+HnNZFYwr81HFYe6QnlVpOJxfluJJKKjs0vV8v3T/GmUT52RFYNhsoZmkiSCdSBgfRz6WzakZI4LccvrTTF4ZCZJ5zbWiKK08H0ovtj1VxytxfiqXhB+X6gmfMHlVknksUk+UtEO/nyKUgex/4UQgor+iPJRBilCGro85SaGMXXafSyLKi+iAbqJkaolaXpLJSzTY4urF0rXI5OW7cMNsegew2P/NJzoMuZYXiReHzMMBsoH76bW4vkFRnrj4+tF/i2azieFwiDWvBGfUhz/uI5j0AGcA4gxQnWxi/2QVdbIKXcMO0QkQeOk8t6eLmYRCCPkLAN8D8C1CyP9IKf2Dyz4LfqmMbck2aXnHFDmXbaT0AwA+AADHjx/fehs2TUfnLR9G44u/BvKV32a9S17y81NPWR84WETCfFU/EP66WLNAKfNnhKYW7izEYA1oHgIwrTDkJrD0vNimuYqJB8/n+FAoDRf3zaGbLrsiFYYUaJVNDBwfjvgyivFExWF+fGal4eFGzB8DTFE8EuFlLt4JpzyQEe4r9kvKIgrTTaiCVlTROTJ5JdTOxqnwz9C5n/KhRPOpl0wMHR+eH8DQtUz/R3fsYm+jFI0hCEGqNgxETbSSTbLSvVCSCkUs7NlO+UGq42KU2Agw/8iQR2tpGokRSj+LUOr7AUTqI1boMWHyyuq+WA7P82JtgMcu+6yFUV48s75k6EzVh4QyCk1ZtmgBrHNCMTSmUHQrTGw0dQ3wPRBDRHlpQJCO8tJJ/hLhVffDGFzA0o/+Lyi/5C0oA/jBZ7lJaxaKOOU/xI/bB+BfEEKeIoR8khDyHwkh//QyzuUsgMPS34cAnC94TJFzLwsopfjFj96Hf3L+p9E5dAfwmd8ELt4/9Zz1voNFwhe31/8O8NrfAhafE+4XBLHejxTAnrka9gwejlUcFhWEM6O8kiavSkZTrPIcS5aU8hE6me2EN2P+EwBo8TnGzFQZyY2dYVYdr3Z6vLKVjmxLRKHlqgGip4IauiM3yrkAUvW8umMPtiFVCAaYYhDqAZJCSSUlpp3yYf8Y32VP2jFCSagLqw6ATFco4y7PZWELeqRQ+MJsWGyB5HPJ7YUizs9zyk/iJq+K7EMxyqx7JhBGa4WFHqXilJlkJEWHAcl+9HGnfFmUoneH0Xmm5MyX2gALEgpNXpxsSqIIpW6yextTKDoLz5cUiuuJPBQHjk9DhUIkHwpolIcSQPqcSBDJjQNqQ3vbR4DX/HvsO/5m9oB2lZMJUIBQKKVfAvBHAB6llN4K4DoA/zOAx8D8HpcLdwK4gRByjBBiAXgrgE8mjvkkgJ/h0V4vB9ChlF4oeO5lw5tvO4jTbQevPvFT6JIa3P/yzqkte9f7EywQvpgceinwg/8mNBEBwELVDo8TeP5zrsPz1/4+RigbWYTijtmCVokrgFbFwtjNqOgLxHwLm5kEkFYUYe7IjIrDm0MnLP4YjbeZHq/C/AxusiKyNLfc0vWlZuzL2ygbvO2uNFaCUFK5I0CmqQpImrziTvnuKBHum8i2B5AuYa9pqQKRKR+KKOzI31emWpIKPKb6yUvZ6mx7Mmw44UMRJi/ZhyIc94giuOJNtuImr1BpxJzykS+EnSeHDUsKRbTtDRVKFqEME1FekaIpGTrLOyEkbAM8EU3sRLVhTihmTKE4cP1A8rOw++fzTPlQoZBsQnGsFgBgFfPQDt0GvPLXYt/lqx2F7gSlNADwGv67Rym9j1L6l5TS37hcE6GUegDeBeBzAB4G8DeU0gcJIb9ACPkFftinATwB4ASAD4IlWeaee7nmJoMQgp88fhhf+fVX41/88IvwHudfwlx7CN/52B+xZK4MrA8c7Nf5YlJbSu1frLEFeE3uYSIUh6xQwjpeWVntcYUSZctPL5fSntFcS6A1tUCkNN7ITUehSZWGBTJLphQ1eRUZK9GjvjtKKAJ3zJ5ipSivmmWAkAyn/KQbdqbs8PItUbhvmlAaSUIR43BiYs21ElFe425UOwxsUTQ0km6SFfpQ2BzzTF5lU4dGsvrKcx/KhPV0CX12ziAyi0HOY5F8IQmTV1yh8OgwEV0mZ8vz80ayD0XqhRJugyhJz01eDovysgw+T6n2F/OhCLNaKR027E9Cp3zchyJMXoQRCDeL+dBBMvqhJEH5Z35pz77M/Vc7tuKUv4cQ8u8B/EdOMJcdlNJPg5GGvO390u8ULNKs0LlXElXbwK/9yHPx5G2/joc/+EVc/8Af4WdWbsW//ycvww1767Fj1/oTPMceAh6AappQhMlrQ1Io/3Dn/cCRX8GrpOTGDR61FfOhiCirBAFE9bwc7GtyO3OCADw/QHfsFfJ5ZJZzSSQjFqk0LNCSSuxHIbottkBzJ39u+1/JvATEy6+EfolSE1g/ER6TKjkvdVkU0DTC/DGpEvaUJbOVmuiOvanlW4Aokizli+HXHLssMTCvWyPAHlzS+Sz1lA8lq/2vOL8qVyw2y8ykFioUP9ELJYrUAjISI2Nhw5IPhdKYuhEmtFjXRkc45aUoL5G/wckjVDZuUqH4KAmfnaxQTKnvilECXMmHIkqv8IcsU9ek0iuO5ENxIh8KIbGwYWYCQwq+3WLvvd5K71TYUmLjYTBT0nlCyCeugA/lGYmjSzXc+DN/hAXSw4vXPo43/vHX8AeffzT6QgFY6zs4YPCyGFLorECrYkEjUXgxAPhBAN+opBSKbWhRHD8gVRqOK5SmRCghEoQiFs5YIcfAZ4t6wucRVkVONAJjc2CkVqTScGq8lOKhYXRWe+iGdcRCjNqxxVsea1pPlG6Wz0IcJ6FRnp7TMqvAJBDPZ4nGicKPswMEujG1xPZnhB8no7xyFIrYF+8rX4/5UCqxbo1xk1fKZCaF//YdD5auMT+EOwRAo+gwMxnlVQn70Y8cSW2IXiiilhcvkTKUFYo7wjjZMjhRTJJSGtboEgoljOASCsXQeOkVplAcj0qEwo5hJi8fGq8uLPtQAnmZFP+jxOdZgaEwoVBKf5JS+jwA1wD4D2Bmp8vpQ3nGghw6Dlz7avxK5fN48wsW8J/++wm89v/8Kj77wEVQSnFuc4h9Rg+oLmSer2sE81ULa5JCAcBChxM+lPlqojBkopCjwHSTFzsnM0t+3AFA0wqlmqFQEgUn21k+j0SWvEDUqVImvPh43bxKwwmTV6YzvdyK9UTJrL8FpAklWTYlJJQun29OKZhYYiNXKJMM0xkiIo/7UDoxhQKInijSGFYtcsqPJZUAsEWb6FHUEz8/3mQr7livygpl0o8plLRzPe5DqaaKSjIyMnQNtqEleqlQwBvndGuMEhsBEeUVT2wsy/1TrMjkFVBRUqWULr2SCBsOFUrgwfM8mAaL8tL1iFAIzfaheCS6T86BlzCl9/y3QCGNLXuTKKUTSun3KKUfupw+lGc8fvDXoA1W8Ps3PIT//M6Xo14y8At/dTfe8v/9Jk6uDrBX7wHVPbmnz1et0OkeQo8TSqa/I0ehFPGhhFntmXW34gRV5UUYpxWcbGeWcREmuWwn/7QS9qnFW+xLmbyM8PgQiZ4o3ZEXrxAsclQSqiAVghwSCptTynS2JYXS5duzQo+7MXUhxkmbvCKFYhtaFMItyq5IDxsxkxfACSnyocRaIEiRWkBGlJlVZeVQPCe7dL0VzT1WWNKM6oClmmsBKZPX0PGjxlzukCc6psOMxbYwudGbRCYvUygUKWxYlK8HQH0Hlk5Ck5dGAA8aSBCZvKi0NAYSoQT7bwPefRq46cehkIYKT7hcOPYqYN/NwJ1/ipcdm8en/p8/iP/w489Hf+LhuqUq9hsDlrOSg7mKlc5s14xMhRLDMJsAWlkmL7PMQkP5It8eZkSN5RCAqA/WToX6zqUIalphyOT8YoSSUDwpQqE0U6Fkdm1MmKp6KSKYYvLKVCid7DlNIZSY6WymQullmLzyCSVlwpv0U4SU6isvKZSh3MIXyPWhZPWVj3drjCsUIL+w5Mj14uYrIHLKy2HDhmTy8gKJUGSnPCcU0bXRi0qvWDqv5WVEJi9HNNgCAG8CUyOMIHULhq6xDo00agEsKxSZUCy7lLrPChEUoVwuEAIc/zlg+X7g7F0wdA1vf8VRfPHXfghf+h9fDWuSLo8iY75qhYmLALB//37sN/uxisMbAyc7xNeqh18egZKpo2Rq2dntfMEWEVtzU3qhyGhlZcuX58Jz2uF4cmHI7PHqJROEILviMFcDqcXbHbI8mqRCmdZka9zBxPMx8YLsUielLIUyzYeSdMp3GPELMw2YU7hkatkKhdJ0LxRKU055sT9mNpM6P6ZL16cVTqrro9Rkqy+brQAWdCCHDScz9SViSJeuRzxCTC4sKakNZvIywr8BhIpD0whsQ2OOdk3jjvYhxo7PsuSBbIUieqK4zOSla4Qlk3pOaP4Lo7y4CSzwXZR07nHXTJga4SYvHyTMlI/ura9Fn2fLtqGQD0UolxM3/1O2uN/1Z/HtlALDtakKJWnyuvHGG3Fjc8IWZB6yujFwsJBVdiWRgyLAyqUkFcV8SqEUMVEByOmJMicRlBhPIoGcKDRdI6jbBjpTggaK+CsAFsVTsfQcImiHC3vMhxKWOkkQSrJycdiauAPHCzBy/XQpmFIrldSWWcI+cAFvLM1HqmkVeKm51GwjETbcYKYcb8Kaa8mKSyp/IpDq2igpnKHjRzkoQDpsOKuECj8uRiiJxlwAi/SKqg3HTV6hQkk45QFRwl5qHeCO4j4UJx42DHCTl1nmeSgB858A8bBhQwobBgBvgpLGr6Ob0DUCDzo3efFaXiTb5GVZ6aAahQiKUC4n7Dpwy08CD34sXjRx3GYLRkbIsMB8lT39+3IuS3WRlTYZt+HyEN/5auIJaZivfFoVK13CvjIXc8rrGon7FnJMVGy86YSSnTcybbxEtnzCKd8ZuXH/TkalYYF8Z3onJJqUQpEy0+Vx+hMPnki4FIv8qJ3fUyVhNmPjGOkESQAYd9MKJVFpWECYvKKui9EY0/rJC9RsPa1QHFmh8PM9h9e1ihRK2rkuTF4Dfm2xyMcz9AGuUDKUzWiKUx5g4cQxIuJhw2VLZw9liXL3AKImW94Yjs8JhVLeDyXpQ+GE4k9Q1vn/V7dg6ho8qoHQqAVwIGVUBFr0/zYspVCmQRHK5caL/yWz3973N9G2gXCcT/ehBDSyu3/5y1/Gl1ej5MbNsI5XMmckXbpeoJXRZyWuUJgCSEWNES1z0c40eVWi8TYHDsqmnqg0vMG+8NKTaDRewidj2GyBGbUxdpmZKruOV3oBz++v0okUQZYTPJHlLFRDlOWuhxWHixSGjMZJKpSI4HpjDxqR+okkeqEI1EoGvEDq2iiVwe8lm2tNejGFIc7vTxJtgCc9UMr6yadL1yfOl01mITH0mFPeSigU6drx9sFRG+Ch400llLKlYySqFJvlMLGxFLb0pSmT10j4UFymUMKQYSCuUPwgNAsT34kpFEMn8KHFTF6BpFCopFCgJb5/CjEoQrnc2H8LcOBFwPc+FIasYsj9IDlhwwCwwLPl5VyUsNrvcD00h6UVSrqOl8BcNaOeV2U+5vNI+WSGG2wxzign0SrnOOV5xeH2yI37YwAWNJBDeM0sE1qpxdRAwUrDAix/RFYE/JhxJ1zYU6XrM5VFRggyz2kp0lxLHidugkuQgW1ERJ6rUBJzkXrc98Zeop982ilftQ34MiFxhTJxffgBjfwZicKQ8vnp4pI5PpSEQz/VPphHbJVNycwHxPKysvrKj10fpVhmfdLkFfBMeeZDkfvJC4ViGxor08Kd8sRzYGtCoZgwNKFQ5MRGWaFI9znhq1SIQxHKlcCL3876jpy9k/3d5/0Tppi8hCM7RgDiaWiwFtXxSimU6SavdAFG7pQPAmxmll3ZyHTIs2tbGDp+1CIXiFUcbg8dNAsUmpw+P0ZQRSsNC6QVSnzxBRI9TCbdlCJgx2RFjLViCiVl8sokODOnayMjuBS5AemwYeEYF+NIven7kyyFkvbBAHJPlRoQeBgMB7H9yfa/AhVLj8KG+dzouIuBkxXllVAo4rywr3wfQ1dWRQP2+daj+1A2ZUKphLW8SoaeIiBR5JOZvMpxk1eoUCKT18SXTF6BpFA0E6ZO4EGDJkV5BVKUF5XmGEaKKWRCEcqVwAt+gn3B7v4Q+7t7jr02DuWeEpZfiSkU/kGWFMqCrFC8CbNh5yifOe7ziFXhrcxzAuhgc5ilKNJlUgTCjPScApGZ42UUmhTINskxn0x7qwol6UPRTWaHj/lQivk+gCyF0g6d9U2ZmEbt1ELOrpUMP44UCosUm14GRowBpJts0XEn7kMJgkynfDrbnZ0/6jMCC81POQqlZhuSD4Wd6w47CKjcR6XHTE5S75y4QhGmsiGGEznKa5Qyg5Zlp7xViZzyloa82l9j12cKxR0xp7zohQKEasLmUV6UE4rmOyiHJi8WNuzSeMdGKheHlM1ceuLzrRCDIpQrAbvOSOWB/8oWrs5Z9qXLeVIHcghFi0xem1kKJSepUaBVtuAFNCphDkQEMNxAO7N0fb5CCXNHskJ9R5t8vNl1weTxOiM3XlSTl7AXpJVWKCRXWaTUDieCVN0rIFW6Xh4HQDpiTFYocrjvuJ35/kSCZJZDnSVHzi4Dk26yxcZwhx34ci0wdwBW/iRt8oqfzwhjPOjExo8c69XU+clqxc6wy8+V/C8JIqpYOsZuwAJM+Jj+pA/HDxL95Cup88L6XGYF1BnAD2jUCwXICBvmCiVw4bhulIMCxBQKAHiE3S8tcGATyYeiEXiUQKNRlFdMocQIRZm8pkERypXCi98OeCPg/r9lCqVxcGq/BGF6EoRy+PBhHL7mKPvSDddD30o8CXEGoVQyFIUgi9Em86GkCkPm+zxCs5xMejFCcbdEUM2yiYAiQXgtYJRj8hrz8iQZ/p1GmUVnxchJ+D7GiZLz4VhTTF7TfChiTu6ImVdyfDqxkvriWtyHklkGJqOWFyAVmeRjTAYsCi7q1ph2jAOSySyRnDjhhFKZkksCsCZd4bmGDWgmvFE3fu1EuDEgKSPHY0/0mgl3zOY4jVDKphELGw44iZRMPRVmLApGhnkoAOCOmClMmLyMOKG4MqFITnlT1+Dx2l0mYe9Xrjasm5JVQBHKVChCuVI48CKWOX/3nwNrJ4C5o1MPL1s6yqYeLtbXX389rr/+ehYZxk1ejZLBitoJhISSHT2W6ZfhZOH01jBy/Yz2v9MJAMguEEmHzEwVIyhKM3uhJMfrJLPlR5v57X8z/CcAM1VRmix3wkrYCye4JheZnHQyTVWhyWuUIDmuUEqmFkWxzQhjBiRismoQTbYyC0xmhDDnmbxcTgh12ewEpN5PqmIwX/idITu+Zk83eVXlMF5CALsGnxNKLMorpVBEln2Uw+KHhCKZvDIUSmhiM8uAw/wmrBcKn2Oi9hczeTHVQr1xwuQV1fICAJeHAmuBC4tEYcOGTuBS9tmwwK5PtYhQNF2ZvIpCEcqVAiHAi97Oujku3w/sf+HMU+TkRs9jRexQmQ+d8gu1hENQZNFPifICEj1MOAEM26sAEkmI7pg9OU4xUQFJHwo7dtxbgx/QuIKa9Fj+TV5Yc1ggMjGeN0J/wBagRtLklaEGAKn8SkaByNQCHgTc5JVWKFXLgEYyFMqki+5gnJNjk55TqlmXpoXlV7p5zbUSyitFKLoJGGV4wzyTVTpKC0h2jkSoMsLFfZJv8opXO67DH3MyKknXTl03XVjSTyoUZ5DyocSjvCogHiOUsmiuxbcDrMEWwMvdh22Ax1HjLCA0edn8AWDCCcWGF5m8NAOmxnwoAGByQpGjvGImL9WVcSoUoVxJ3PJTQOsIqwL7gn8883C5/MrXvvY1fO1rX2PJjVyhZDrQgVxCEX1JsnqYjLuMUDLLpOQQSqbi4U/nTpeppWbBMi6A7JNJVxx2+hvp0vWiW2MGcsuvhFFVclZ4HwDN9KFoGmFZ7hlZ95PBZrwb5ZSos2zTWSN0qBdJjkxFafExAm4ii0xe6dL1QEYrYq5QQrPVlNBfsX8g57FYUdfJqGx+P2XyylIolF8jq5+8QNnSMfG478WsgGSZvDihaBqBpWvM5MXHId6YkUfCKR8qFMruuQkPFuH/l1ChsGMssO0xQpECDhSmQxHKlUSpAfziN4FfuZeZv2ZgrmrF/RMAIwtOKJk5KCBTCCCnACPR4PaZusks5JhDABVLh6mTuMlLNwC7Cae/zq8pL7j5WfLA9IrDbn8DrVTnx3auyas5xZneHrrxeeWUrhdgBSLThSb9YXtLUWep+dgNeMMOKEXaKZ8xF0NnvW/6iTL4lDvx6zN8KJlNsgAEXGWkorySJihbR0AR+YHsOshEmMskMkqZyhIKxawgmCRNXtlOeSBqskUCFwa8eJSXpGps0bWRKxTNG0fdGoGUU14oFIvETV66JhOKUChSlJfymxSGIpQrDbsOtA4XOnShasUTG4GYDyVdx2uNLWY5T1Bi8YvntrAs+GDA1EPsiTun7pYAqzicVR+shYBXAyhSxyuc35SoMX+wmSbQKf6Y3ITESRed4aRQBWR5rDgxtQAAwbCdNsFJ+2PvrSzCj+Pqwh8xMksplIzINSCj4nCpES7qddFPPkehiFLx/YQPRizusRL0ZjVlcktHmdVBuC8jMnll+FBEpWI5uZETgujomO2Ul7LfRTQXHJ6HkpFZb+osJ0ooHX8c9ZMHYtWGAWBCOaHAg0WEGZH5JR1BKFy50LwoL4WpUISyi7DAm2yl8kacPgbDftqBPiVLHmBPuPWSkSYAqVxKdn/6/PDmvNwRyhfpuS0onsgpnzah0dEG5mOdJAP2fnMKbApySvdECeAMu/Hos9F0osurC0YmnTgxFVAoyf70Ql2k2hHnqKVayYhHwdkNaE7CjxEqrvg8NI3w8ilSO14AmPSg8+q+ABgpJNQNEDneZae+zhMZp5m80oUlKyDcZDXd5MXGlAmlDCczUx7gbYAdP3S+a96El16ZoVDgwoTklNcI3IAdI3wruXkoClOhCGUXYW+jhLEbxJ9qOWHU/S6W6sXLrgjMZZacn4c23gz3R+NNX2iBnAKRlXlofHGNqYoZ49kGi2zLMnmRcTtOoJMOa5iV834zo7P4Ih2MOltSKM1ydpMtbdItnBcTlk0ZJdWFIJRkCHPanyPGSfZEMTihhFnngtgyotZY6C+/v4YF6BY0Z4CqpUelX5xBSi2wc9MKxfT60AhXE5RmOuVTCsWsQPOYsgmjw5xhZmY+AAxdL9xXIhNGXs6Q5WVJpU9KJveh8P4puj/OLr3CfShjn1075kPRTK5Q2L2ws5zyGW27FbKhvE27CHubzBa83B3j6NGjbCOPjpknPexJEspgfWY48lzFzKg4PA9j/STqJSNeyHHAHPXTSsS0KhbObo7iG8tzMCYnoGskHjY8WAVApiueZIFI/rRvTDpxE18YgJCtUGo2i87KKhBZo/34vKaU6Afym2zZfi8+jggSyMiLKZkaTJ2kSthrkyyTV75CqdsG+gnHvuH1YelaWH4E4w5zmGeYPlMl7K0aiNuPVyrO6BbJzpWaXvH5m/4wqkPmjljVhZkKpQZNRGzF8lDSTvnweqKTIyZRYmOGiWwsmbz0YBK1/wUiQjGFyYuNbxMPJuLFIR2+T5jCYiYvqa2ywnQohbKLsJcTxnJ3jGPHjuHYsWPhE3kmoQzXpi7WQF5TrHmU3DYWk2HI/RW2CE8pgJdp8qosoOxsYL5qxXM9Bits/lJMfxKpGlx2E5RoqATduEKZkcRJCElX+OWLdAPDLQUL5DXZamCYiGJr54YxE0IyC0QaLoswC01eQcDDhvMUSrJrYxO23y8cTl1Phf7WoLn9eBmaSS87hDojMdIOhmhYoqhldpXiMMpLarJleMxkVbUMwHdZbxgzoVBiPhSebwKHzSODUOzQ5BX5W6ysWl46G9fxKQLNggUXRkgoFgxNgxOavNJ5KESFCheGIpRdhH1coVzsjDGZTDCZTMI+9EtoY09DelIKfKYAanunjrlQs7DWTxBAbQk1r43FZBTVYGWqOgGYokhVMK7tQTnoY3818XHqrwK1PVPHY62P40EDQWkOi+hiPrMqQD6BpgtEciIggwQRbLLFycx+8myUTQwcP+xRDrsOSjQ0ySCdh5ITdSbG6SYKRGrUQwlOVKjS6YGFMOf4UJKEUGrADkaYL0v3OifsGMjIJbHqMLxBRqHMNKGlaoFxFbNY8qS5I0UolsHU2SCsy1WF4Y9ACK8SnCijIhARkeRDIRNmCnPSiqZk6lG1YQA2cRMKJe6UF/W8THhhvgnLlE9HecVK1hMNWLgBOHBb6h4pxKFMXrsIexuRyeub3/wmAOCOV7yE7SObcYUyWGPmhvq+qWPuqZew2mOO/vBJq7YXJlwcqSSIoQABLNZsjN0gXpyQk9q15UH84MHqTIJarNu4/2w7ts0tLWKx3wG2oFAApiyyGna1SMLkNSVaDECojNpDh5E4IfCsFubcXjpsOEcZAEJdpAtE1jGM7t2MEOYsHwoA7CtJ484glI3BUDq/BtMbJgplZtc1C30aiYrDS6Y7c+4Vy4j60ZtVGNRFw+SfwVDZxBVK2WKL+kjKfq8Qh5GEO0odXzI0rEhhwyU4LA/FzXbKO77PFUqcUAydYBSIKK902DAhBPjZz0QlXhRysSsUCiFknhDyBULI4/w189tOCHk9IeRRQsgJQsi7pe2/RQg5Rwi5h/+8cftmf/lQMnU0yyaWu5Noo13DWKvikNGOwjwBoH+Rvc5QKHvqNhw/iC+0/Jwjdi9+cAGFsqfBvlQr3XF6PCtjvBkEtVSzsdqbxLaNrAUskk5YMJONNb0qACDUk1wVgJsL0UtEeeXXKwMQ+m7kEG7HnsM86aWd8tMUSk748V5rwvqeA1JhyGyTV6NsZHaQ3GvLhJI/j7qdMJlZNVjBMJGpn12GJh02zJTIvMn/X1MIJR5dxohgzuR/i5L3Cb9NFOXlheawOcPl/pp04EDZ0mN5KCU4zAEvwob1tEIJNJObvLzwGEPTMAkSpVckhUKIBtSWcv9HChF2BaEAeDeAL1FKbwDwJf53DIQQHcB7AbwBwE0A3kYIuUk65A8ppbfyn09vx6SvBPY1SrgoL9YANo1FHDY68QN7y+x1hkIRkWEr0qLtVdgif9BIEEABhbKnXkqNJ845ZHTT480gqKW6jYHjR2YVAH1zDovopH0oRin1lCpjsWZjvS/Ny6rB02zMk246nHmKssiq/Dw057FAElFew7XcMGaANxDLUEwHbOn/G9YDy1YYYi7hOPy4vaYUGDFDoYQJhgBg11AKhvGKyZNe5mIpCCXZ4GvBSBBKxr2M1eXiyYgLFh8nz/dipp3yDYOfkxFmXDL0mJopwWUhxt6IkQkPlhCZ8hNBKMSDQUVJHGbychIKRfahTPMBKsSxWwjlTQB48xB8CMCbM455KYATlNInKKUOgI/y855V2NssYTlBKKuYw35tM35gqFBmEYBQFNFCu6mxp/N9mkRS7pg9qVYLjicRyshmSmCvLo3nDNhTZQFCAYA1iQg62hwWSdKHwhuJTXGQLlQtrMv+IkIwMltYIL24E3tKSX0xDhBXKD29iQV0o3pqvsuIaVrTtKoZ9w9xxXTIlshgRmh1K1nhmY+xpEtmrClO+WqifAq1aijTUaRQnD6P1EoTiqFrqNtGpG65opgThDKlJXPFNiIfSqg2+HsQvpdEdFg8youRUFPn184IMw7DhjUdgWbCJg6PCBvHyEdEeTleAJ+bvIyYyStyyguFgqTJS6EQdguh7KWUXgAA/pq1qh0EcEb6+yzfJvAuQsh9hJA/yzOZPROwt26nCOWc38IiTRIKVyi1GT6UhlAU0ZirYAvAItrRgaJNcW2GyUsoFGmOa0HGeCIEeZbJixOKbPZao01UyARNXVIbw7WpZioAWKjZGLl+9GQMoK+3sKT1En3up/tQQoUikVwbTcyTbpQ/MqOOGhvHRnvkstpU0rH7TcnXNJo+jlBWwpTnldi8l3S+KPseW6CnlJFxfcoWXgCeWUMV48iHMtPkZqYIpaXx//0Uk1fV0iMfCieClsn/zlEotqFBIzzKi5NNU5CX00+ZvErC5AUg0EsowWWE4o3CyC8grlB8EeVFPZbXQghMjWDMTV4mPOaEl0iEkN2yTO5+bNudIoR8kRDyQMZPUZWR9ZggUsrfB+A6ALcCuADgD6bM452EkLsIIXetrq5u5S1sC/Y1mRP92LFrcd1118HzAzzpNND011iIqUBvmX2RcyKVBLIUxfLEwohaaPkb0YFhm+LpBNAoG7AMDavSYrsyDLBO62gFEun1RU7LbB8KECeUCz5buLSh9P/pLwP12RFtAGIqpU2aWNIk054oqT81N8YCIXGT1xqtY570QQL+1F0gZ2e+YoJSqfQNJ409ukQoM6LXkn1yehpbvOcIf0853R7D9yIKhPICnBO9jjoZoVlK9LPPCVtuVcywurRrsWPmNa6OcsruA8wpP5C7LwKYN4VCyfahEEKYM99hfhEPBppkHJ2TOL5ksGKSQUAR6BZKcJjKccex74UgFMcL4BMjUig8A17nPeUBXhySaAmFogilKLbtTlFKX0spfUHGzycALBNC9gMAf13JGOIsALko1iEA5/nYy5RSn1IaAPggmHksbx4foJQep5QeX1qa/jS+E9jbKCGgQHl+L44cOYKL3TEuBnPQqR8tPgAzec1QJwAzeVQsPb5gdyZYpU00ZELpXWCvM3wyhBDmSJdMaBc7Y6zSFhpe1njTSWCxzhY8maDOTPgCJRzxANC7OHNui7W0qWqdNrBAJN/OaJPlQEwhAl0jmKvE66qtcJILFYVQdNMIhZNlaK4yKxjDxKLWjw4abvAQ5uxsbDniDAA2KX/ap73o/QC5TvlWokDoyOBmK42b3WYoFDkUuwN+riAz4bvJMAlVbT1VlHLOEAolO9wY4OVUXB8gBENSQYMI8kpHognVyZRHCSVh8kooFE0jzE/iB/AICxs2qBNGbRk6CRtqmcQDiB5/S8rkVRi7hXo/CeDt/Pe3A/hExjF3AriBEHKMEGIBeCs/T5CQwFsAPHAF53pFcbDFvginLmxgOBzizMYIFyk3z/TORwd2zgGNA4XG3FO3YwrlQmeEVbRQmkgLducse23OLmS5p5ExHm2i7EiEV3C8haoNjQBr0ninxtxWLlRT4HOFsj9jhPhYAGKO+WW/hhaVCCU0xU0nOrk3DQCcd/mcBMmJ1ylO+aQvxg0oNmgdLUjzGW5MNeUJP5Joa9CZUHRoBbWAm5vEQ0bOPJKE0tfYojyncZUUKpQchSNVMmi7BkbUQkPcz2nRZSWp2oDwh8jmKyCzfljF0lmUF4A+KqiTEcsr8SdphcJ9I2PXh6fZsHMUCsBUiuMF8IgJi7jQAzeMDjN1EnZstCgzeRG5wVZGJQSFbOyWO/U7AF5HCHkcwOv43yCEHCCEfBoAKKUegHcB+ByAhwH8DaX0QX7+7xFC7ieE3AfgDgD/ZrvfwOXCtUts4Tr96H34zne+g7ObQ1ykfMERizQAtJ8C5q4pNOaeRgnLncjncb49RsdYgCZUhBhbt6cukOF4dTvmkznfHmOdzEOXCa97jj0lTvFVAEwNzFfjBPX4gD9dDjihDFYL5dxkmbzOu1XYdBz10xC+pxnBAvOJys+nBckJQhoUUCiJaLH20MUmrUcLMsDrseUTStnSYRtaSAjtkYsNWkfV68TnkdcGuiyamHGTGdj7aIIv6qEfpIBCGbnYRA1Vvxudm2NqY/XQXBYMwH0oDZ3fz0mfmZUy6ofJTbZ6KKNGh1J5/vgcRXXisefD1WzYoQ9lHFMoAAsdnng+XJiw4EEPJIWiafD5UmjCAzQ9ZuZSJq/i2BWJjZTSdQCvydh+HsAbpb8/DSAVEkwp/RdXdILbiIOtMkydMNkP4Kn1Ic4IAbbxBHud9NlC1DpSaMzDcxV882SkRi50RujZB4D2PcynQAgjlOb0vvcC+5tlfPPEepgsebE7wpHSQZDe19jTpGEDnTOFx9vXtHGBE97I8XFqXEVQ0qF1OUGF5rNiCmVtwMjJDyjOTSqACWaiso5EqmdWhYGqhcdX2EJGKcWT4xKgIzJ1DVaZnX1KHkpSobSHDtZpA/u9dnTQlJbLAnOVSC2t9x00Ucc+McYMX04r4dTvgqmCRpDwweT4UIRTnlKKzshBmdZxsCChBJTlsFh6GTaAhuwPsWqZn42ypYef/Q6tYA8dSHNMKhTRBjiARrgPRdT9SvxfbEOH4wVwYcCCCy2YZCoUM/ShSHNTCqUw1J3aZTB0DdcsVMPolceWe5hf3Mu+IOsn2UEdHuzWKqZQjsxXcLE7Dse80BljVD/MnuTEE3v3HNA8VGi8w/MV9CZeuEidb48xrh4CQIE2n1un+HhH5is4s8EUxHJ3DB86RuW9QPs0O6AnQqSnK5SypaNq6aFC2Rw6WKV8oQyVRbHosz1StN3A8XHO5YuZIKTeRTbGlMVmLowWY/PZGDjYRB1lmVCKVIyuRvXYVnsTbNA6LKcdfz8FTV7rAVMLdaFQpoT+AkzhOF6AsRugPXSxQWuwxbWnqKuwNcHIRY8yJVIn3G+T0YdeQCiUIKBo+yVU6CC334sweY0cHy6xUCIOSpaWChsGmEJxvAAuMWARH5o3CUuzGHpCoRBNKZRLhLpTuxDXLlZZ6CSAR5d7eO7eOrBwXaRQNp9ir0UJZaEMSoGzmyMEAcW59ghoHeVjPcle22eARjECuGaeLRBPrTM7/Pn2CH7zmvh4neLjHZ6rhHM7zYnFbxyO3qcw9TWmKxSAlXIR5rPV3gSrtMV2iETQ/jILF52iLADgQKuM3thDb+ziYmeETdTh6aVoLt2zQOPg1DFMXUOjZGCDK6b1gcPIYNKODhquzwyHnquYoUJZ60/Q0xrQhTN+sMYW5xynftnUYRlaGOW17LL/XdXvRdc3K6n+7gIyMbSHLtqowxSE0l/NjeKTz+u7BANqoxZwEnN6mf4TNl8W5TVwPPRQRjmYRiiRyWsCplAsXeNO+YQPxdDg+AEcmLDhMp8MP8bQ0gqFxMKGlVO+KBSh7EK88HALI9fHxPNxemOI5+ytA/PXRoSy/jh7nb+20HhH5rlfZmOAc+0RHC9Afd/1bOfmk+yJsXceWCg43kKFjzdEb+xipTdBdd91bGf7SRaR019mJFgAh+crcPwAy71xSFLm4rFIoWw+yb78BaLa9jdLON9mT8KrvQnOU/7k3j3HXsUiOMOMcYAHR5xvj3GuPQZA4NYORnMSJsIZWKjZocnrYmeMTVqH7nRYYqQ7ZmajGea3pbodRsGt9ScYm3Pcr0RnZusTwloKiNDfiw4zC+qC1GYEBYQKZ+QwHwqtQRttMNPmpJNramvICmXsoYMqKoJQZiiUseujO/bQoxVYvkwo2VFeY9fHhFgoE4+Xacl3yrvUYBWFPdnkpYVRXiw/RY+HDSuTV2GoO7UL8eJr5vAPKybu7VVAKfCSo3PAwvVsEZv0gZWH2SJUnW4qETgSKoohTqyyL/Xea24AQBhJCYJafO6Wxzu1xghg38GjzKm/cUoa7zlbGu/0+hBPrQ9RMjWUFo8y34k3YXOcO1bIln1oroJzvF/LufYI66iD6nZkJuyeLaR0IkIZhQRFmofZOJTyKLvZCmxvIzKdLXfH2NBExN7FqNrBjGCD/c0yLnbGCAKK1d4Eg9Je9oQ9XGcmuAIVooXJa3UYoI9KFG48IyhAEMrGwMH6YIKR0QQZt6W8pZwOmmXRYMxFb+yiQ6soC1WUU+oFYIpq6HjsPFRgekV8KD7GYCYvAKmwYUA45QNMYDCzljeOhQ2LPJTQhyJ91IjcvVFhKhSh7EK88FALp0c23vfdTZRNHS+6Zo6XzqbAhXuAlYeAPc8rPN5izcJ81cJD57s4yR3N1+5bYApi+UFgbWsEUDJ1HGiWcGKljydWGaFct6fO5nTxfmD1MXbgUjGCOrrAFNTJ1QFOrQ1wzXwVZO4oAMrMXhunCquxg60ylntjOF6As5tDaJrOlIQwVbVPFzIVivDtc5xQNAJYC9ewcUabbNEqoFAOtMo432aEcrE7xqjCyaN7LvINzSC4/c0SXJ9ifeBgrT+BU+Xh4p0zbD4zTG+tihWavDYHDgZaPfKdjDam+nCiyggTrHQncEoLLOJu9RF2QI4vqiF1rOyOPXRRhe1xYphSqaDMfSjdkYseLUOjfvS/S5xTlpzyE2qhBFH3K+1DsQ0NEzfAhLLikPCcsBoxi/JiY2mgPA9FruWlTF5FoQhlF6Js6fi5l+3Dkh3gp192hD2JHXwx23nqa8DFB4D9txYejxCCWw41cd/ZDu4928Hehs1CWg/cBpz/PvsxSoUXbQC4+VAT955t44FzHdgGCyRg490DnLub1W+aO1ZorMPzZTTLJu4/18YD5zu46UAD2Pt8tvPc3cDGycLms4NzzF90sTPGuc0R9jdLIM1DbFEKAvZaIDpuqW7D0AjObo5wemOI/c0ytLnDzNR04V520PzsOR1slXGxO4bnB1jujhHU+OLfOVs4em0/75NzoTPCuc0R9Dk+//Zp/n6m5/rIPpiNgYOx0SisUPZJXURXehM4VT7/c99jrzkdNEX/GeZ7cdChVVjubEKp2oxQ2iMXXR7ijPUTAEjqHFFevz/xMKA2Khgz9eilC0lWePTYhOophcKivGRJkvShqGWyKNSd2qW4rbyJ33pFGe95I1ci1UVmkvrq77BM72Ov3NJ4LzzUwqPLPXzuwYs4fg1fQA7cxp6U7/0ocPD41E6NSdx6eA5PrQ/xuYcu4pZDTVYi/OCLmF39zg8Ch45ntqTNgiC8zzxwEcvdCV5wsMnUjm4B936YdeAr2NzoEFcWZ9tDnNkcMaXRPMyCDvrLbKwChKJrBNcuVfH4cg+PLfdxw94asMT/Fw9+jL0WUGAHWmX4AcVKb4KLnTG0FjeTyQplJqGw9/TQ+S4Gjo/anqNsx/l7mOlrRvLo3kYJF3lY9ubQwdiai3J8ZkSZ1WwDVUvHxe4Yq70JAmHme+ob7DWHzGpW1JJ5fcAIxXA6UembHEKZq1jwA4qzmyxZFgBT0ZX5VNVfoYJ6Yw99WkIFI1aVGEg55VkpGA8Tyk1ebuS417UoUx4AoMWjvFRiY3GoO7VLQQh7qoq11L31bey1sggc3RqhvOFmZmpxvACvu4k7gZ/LU3xGG8ANr9vSeD/0HGa3P7MxwqtuWIqPBwA3/uiWxvvB6xdDO/+rblgEdJOpsFP/wA449JJC4xzjiaGPL/fx+HIP1+2pMeXVO8/MhQAwd7TQWDftb+Desx2cXOmzwIj9L2Q7vv/XLDKqADEJX8xT60Oc3Rxh79IScy53zjGSK5D8eXCOjfGNkywrfs/eA0wBPvEVdsAME96+ZgndsYfBxMNqb4JJeQ/QvcACA8admWHLe5uMkFb7E+jznECe/DozGeUESmgaa8ncHjnYGDgY6HWQcYf5T6ifG2Un2lI/sdrHiqgQsfxgphKq8UKd3ZGLdsAJROQJZSkUx8c4kDplhgpFC6O8AHAfiqrldSnYFYmNCgXx8l9mX+JrXrHl7nE37mvgN19/I05vDPGjt/An4vljwB3vAc58Fzj+s1sa76YDDfzk8UO472wHb3sZX1iri8Cb3wec/jZw29ZyTX/y+GH8l7vP4uZDTdywlztfX/hTwNnvAodfNtOsI7CvUcJC1cIXH15Gd+zhefvqwMItbOe9H2Gve19QaKwXHGzi7+5hyZW3HW4BzX0sQmywAhx5eaE+GSLg4GuPr8ILKK5dqrH8nPZpAJSZ8maEpc5XLSzVbfy3e9lcji1VgX0vAM58h7+fm6acze4JADxwrgMvoEwRra1EvokZCmlvvYR7z7TheAEWF/eyMi2TDtC6dmqghGieVrEM7DMbLKFR5M3kkKgglEcu9tDWWmxj4GY6/3WNoMYbiBGfq2sRLJAodS/yW0ai6vSkFwsb9mMmLz3uNlFhw4WhCOWZBMMCfuCXLvn0X3x1hs3/h/5flzze7/2TF6Y33vrT7GeLmKta+MKv/VB844t/li1eR3+w8DiEEDz/YBP/8BhbuF5wsAm0bmY7H/oEI4QZBSsF3nDzfvyvf/8wdI3g9hsW2cJy/OeY2fG2f15ojGvmK6haOj7BienYYhVYupH5hnQz8hXNwPMPNPCVR1dRtXQcW6wxE+CZ7zClMsPkJQjl+2faAACzdYg51s9/nx0ww6l/bKmKbz3B1NG1SzXgwK3Aqa8C+2+Zft1mCcvdCRrlAIHdBDxEeUp5hMKLhT58oYv56h7AIQBo7hxFm2Xf5Q9YorpCsnmXbWDoeBiK9gM0iCU2JhUKUWHDlwR1pxR2LzQduOWfFgrzlfHa57HIo7pt4JZDLRaWK0Kir7uj8DgHW2V85B0vx8d+8RVRh8NXvxv41fuBF/xEoTE0jeB5+xs41x7B1Amef6DB1EX7KeZsXioWrSfMii89Ng9dI8AtP8WesF/6jplP0MKx/r2nmCO+ssT9IOfuZq8ziow+/0AU4nvDnhrwvB9jfzzvx6eet6fOmsWt9ycIytystvooe80hFFE+Z+j4mG9UI2WSY6ZkhOJhzeMKRfilEiHGFVOH61P0XOle8Vpipp5QKJoec8pryuRVGEqh7FLcdNN0M4ZCPn7y+GGcXOnjjhv3sMUXAF7zvwBf+R3g9l/d0lg/cF3Cv0BI4RpqAj/8vD2466lNvOToPIvYk/1BR15eaIx/9vIj8AOK17+A+ywOvgj4jROphTMLB+fKMDSCLzzMqgUs7OfRd8JkNoNQXn4t7xJZt1nDtpf8K+A5/2jmfdjXZFULho4P7bqDwBqA8zw6LCf3Zr5qscz1gLJePpUbmJksJ0y+XuK1xhwLsBBV5M5QKACwMSbRqsePMTQNAIFLdZjE59WGpdIrSqEUhiKUXYq9e4uZZRTSKJk6/sObEn6S5/1Y9GS9zfjZVxyD51P82Av5wn3N7SzgwHcLB1fYho53vCoR1l2ATMS51++p4ZGLPRxslVE7cCMAApy9k5kAc9oHC1y3VMP//S9fElbCLkqqexsl+AFFZ+SiunAEOIFIFeX4bXSN4JqFCk6uDph58Pn/M/Cd9wM3/Ejm8fWSgdPrQ5Qpd8KHCiVBKDzEuBdIraC5n8XU2UOHDw0mfO5DUWHDlwJFKLsUm5vMPDE394ztZqzAUbZ0/OvX3BBt0HTgHV9mdvyCodVPF7cebuGRiz3cerjFFtKF65jJrWCC7B03Ti+mmYXrlqJFfW4/9/NsPMEKUebUDgOYn+nk6oDlIx29CTh6e+6x9ZKJ850R9oJHeYncnqRC4YTShXRdoVB4R0fmR3EBQhINthShFIUilF2Ke+65BwBwxx3Fbf4KzyBoGrbThfnOV12L0xtD/D9+iKuca25nhHLsVVfsmrLv5QWHl6IIuRlBBP/2jc/DkfkqXv/82b6zRsnA2A0wAFcoXU4oSR+KxUOMqRT9ZQuTV6RQAABES0R5KUIpCkUoCgpXAa5dquHD75D8Na/9LaZSjv/cFbtmq2Lhp192BN2Ry8Kn994EPLEyUxVdt1TDv/uxYj7EvTyCrX9JCkWYvGSFAkCLm7wAFTZcFIpQFBSuRlTmgdt/5Ypf5rffcnP0x5FXsGTMgoEIRSAi2MawQDUTZNJluVqJPK2qLRRKlslLKBRBKGa8ZL3KQykMRSgKCgrbg9t/hamT57z+sg0p6pwBBLS6BNI7z0KNEyQgumf2ZIXCqzQLk1dYz0szVGLjJUIZBxUUFLYHZgm46ce3VDNuFo4tRj4RTSSsZpSSWaozxeLJz9A8x0U45X2aY/JSPpTCUApll+Lmm2+efZCCwlWOQ3MVvPUlh1lFhCc4oWSUaRG9UwBgcuClsM9/N6z3JcKG8xWKIpSiUISyS7G4mN+FT0FBIcLv/AQvAbPCQ5tzyrTMVUxsDl0YP/0RAEG43RIKJfShGIm2v8rkVRSKUHYp1tZY1VRFLAoKBbGH10XLSbr84M8cx3J3Ar0W/04J8gijvHRTmbwuEYpQdinuv/9+ACoPRUGhMG75SdbfJScU+vjR/EZigJSHoiWrDStCKQpFKAoKCs8OVOaBH37PJZ/uSSavWB8iFeVVGIp6FRQUFCArlMRztlIohbEr7hQhZJ4Q8gVCyOP8NbOAFSHkzwghK4SQBy7lfAUFBYU8xBSKcspfEnYFoQB4N4AvUUpvAPAl/ncW/hxAVlZU0fMVFBQUMhHPQ5F2KIVSGLvlTr0JwIf47x8C8Oasgyil/wBg41LPfybh1ltvxa233rrT01BQuGoQ5aEko7yUQimK3eKU30spvQAAlNILhJCt1soufD4h5J0A3gkAR45srVHSdkKVrVdQ2D40yyZ8T85DkXYqQimMbSMUQsgXAWS1abv0sIxLAKX0AwA+AADHjx+n23ntrWB5mXXXU422FBSuPH7rx2+C9SkL8JH2oSiTV2FsG6FQSl+bt48QskwI2c/VxX4AK1sc/umev+vw0EMPAVCEoqCwHXjLbYeAE4eBB+9UPpSngd1ypz4J4O3897cD+MQ2n6+goHC1g9f2gm7G81BUlFdh7BZC+R0AryOEPA7gdfxvEEIOEEI+LQ4ihHwEwLcAPJcQcpYQ8vPTzldQUFAoDJ33mzfKiX4ou2WZ3P3YFU55Suk6gNdkbD8P4I3S32/byvkKCgoKxcFJxLBVP5RLhKJeBQUFBSAiDqOknPKXiF2hUBTSePGLX7zTU1BQuMrASYQQ5ZS/RChC2aVoNBo7PQUFhasLQpVQmvCh6NnHK6SgqHeX4vz58zh//vxOT0NB4eqDpqvExkuEUii7FI8++igA4MCBAzs8EwWFqwQv/yXgwr3AjT8K7TEv2q4phVIUilAUFBQUAGDhOuBffREAoGlno+3K5FUYyuSloKCgkEAsyksplMJQhKKgoKCQgEpsvDSoO6WgoKCQQDxsWCmUolA+lF2Kl73sZTs9BQWFqxZxk5d67i4KRSi7FJVKZaenoKBw1UIplEuDot5ditOnT+P06dM7PQ0FhasSRDnlLwlKoexSnDx5EsDu7iqpoPBsharldWlQd0pBQUEhAUNTpVcuBYpQFBQUFBIwdWlpVCavwlCEoqCgoJCAZUhLozJ5FYa6UwoKCgoJmLryoVwKlFN+l+IVr3jFTk9BQeGqhTJ5XRoUoexS2La901NQULhqYcdMXopQikJpuV2KU6dO4dSpUzs9DQWFqxIxhaKbOzeRZxgUoexSPPnkk3jyySd3ehoKClclYk55TRlyikIRioKCgkICRswprzo2FoUiFAUFBYUEGiVl5roUKC2noKCgkEDJ1IGf+xyw8tBOT+UZBUUoCgoKClk48nL2o1AYu8LkRQiZJ4R8gRDyOH+dyznuzwghK4SQBxLbf4sQco4Qcg//eeP2zPzK4ZWvfCVe+cpX7vQ0FBQUFApjVxAKgHcD+BKl9AYAX+J/Z+HPAbw+Z98fUkpv5T+fvgJz3FYYhgHDUAJSQUHhmYPdQihvAvAh/vuHALw56yBK6T8A2NimOe0oTpw4gRMnTuz0NBQUFBQKY7cQyl5K6QUA4K97LmGMdxFC7uNmsUyTGQAQQt5JCLmLEHLX6urqpc73iuPMmTM4c+bMTk9DQUFBoTC2jVAIIV8khDyQ8fOmyzD8+wBcB+BWABcA/EHegZTSD1BKj1NKjy8tLV2GSysoKCgoANsY5UUpfW3ePkLIMiFkP6X0AiFkP4CVLY69LI31QQCfuvSZKigoKChcCnaLyeuTAN7Of387gE9s5WROQgJvAfBA3rEKCgoKClcGu4VQfgfA6wghjwN4Hf8bhJADhJAwYosQ8hEA3wLwXELIWULIz/Ndv0cIuZ8Qch+AOwD8m+2dvoKCgoICoZTu9Bx2DISQVQBPXeLpiwDWLuN0rhTUPC8v1DwvH54JcwTUPLNwDaU05YS+qgnl6YAQchel9PhOz2MW1DwvL9Q8Lx+eCXME1Dy3gt1i8lJQUFBQeIZDEYqCgoKCwmWBIpRLxwd2egIFoeZ5eaHmefnwTJgjoOZZGMqHoqCgoKBwWaAUioKCgoLCZYEiFAUFBQWFywJFKFsEIeT1hJBHCSEnCCF5Zfa3ay6HCSFfJoQ8TAh5kBDyK3x7bn8YQsi/5XN/lBDyj7Zxrk/y5NN7CCF38W25fXB2Yp6EkOdK9+weQkiXEPKru+F+ZvUCupT7Rwh5Mf8/nCCE/DEhl7dhes48f58Q8ggv3vpxQkiLbz9KCBlJ9/X9OzzPLf+fd2ie/1ma45OEkHv49h27nyEopeqn4A8AHcBJANcCsADcC+CmHZzPfgAv4r/XATwG4CYAvwXg1zOOv4nP2QZwjL8XfZvm+iSAxcS23wPwbv77uwH87k7PM/G/vgjgmt1wPwG8CsCLADzwdO4fgO8C+AEABMBnALxhG+b5IwAM/vvvSvM8Kh+XGGcn5rnl//NOzDOx/w8A/Ludvp/iRymUreGlAE5QSp+glDoAPgrWy2VHQCm9QCn9Hv+9B+BhAAennPImAB+llE4opacAnAB7TzuFvD44u2GerwFwklI6rZLCts2TZvcC2tL9I6zmXYNS+i3KVpm/QE7vocs5T0rp5ymlHv/z2wAOTRtjp+Y5BbvqfgpwlfGTAD4ybYztmKeAIpSt4SAAuUnJWUxfwLcNhJCjAG4D8B2+Kas/zE7OnwL4PCHkbkLIO/m2vD44u+E+vxXxL+puu5/A1u/fQf57cvt24ufAnpAFjhFCvk8I+SohRPS83sl5buX/vNP385UAlimlj0vbdvR+KkLZGrLsjjsed00IqQH4rwB+lVLaRX5/mJ2c/+2U0hcBeAOAXyaEvGrKsTt6nwkhFoAfB/C3fNNuvJ/TkDevnb6v7wHgAfhrvukCgCOU0tsA/BqADxNCGti5eW71/7zT//+3If7Qs+P3UxHK1nAWwGHp70MAzu/QXAAAhBATjEz+mlL6MYD1h6GU+pTSAMAHEZlhdmz+lNLz/HUFwMf5nJa5HBeyXPTB2en7/AYA36O8z85uvJ8cW71/ZxE3N23bfAkhbwfwPwD4Z9zsAm5CWue/3w3mm3jOTs3zEv7PO3k/DQD/GMB/Ftt2w/1UhLI13AngBkLIMf4U+1awXi47Am5D/VMAD1NK/09pe15/mE8CeCshxCaEHANwA5iz7krPs0oIqYvfwZy0DyC/D86OzFNC7Mlvt91PCVu6f9ws1iOEvJx/dn4GW+w9dCkghLwewG8C+HFK6VDavkQI0fnv1/J5PrGD89zS/3mn5snxWgCPUEpDU9auuJ9XwtP/bP4B8EawaKqTAN6zw3P5QTDpeh+Ae/jPGwH8JYD7+fZPAtgvnfMePvdHcYUiPTLmeS1YlMy9AB4U9w3AAoAvAXicv87v5Dz5dSsA1gE0pW07fj/BCO4CABfsifPnL+X+ATgOtlCeBPD/Aa+WcYXneQLMByE+o+/nx/4E/zzcC+B7AH5sh+e55f/zTsyTb/9zAL+QOHbH7qf4UaVXFBQUFBQuC5TJS0FBQUHhskARioKCgoLCZYEiFAUFBQWFywJFKAoKCgoKlwWKUBQUFBQULgsUoSgo7AAIIS1CyC8ltn2WEHKQEPIVQshpuSIsIeTvCCH97Z+pgkJxKEJRUNgZtACEhEIIKYPlkZzjm9oAbuf7WmCVpRUUdjUUoSgo7Ax+B8B1vG/F7wN4NYCvSPs/ClaJAWAlNj62rbNTULgEKEJRUNgZvBusPP6tlNLfAKsf9llp/5cAvIqX0ngrpJpNCgq7FYpQFBR2B24H8HXpb5///VMAypTSJ3diUgoKW4EiFAWFHQYv5HeGsqZtMj4K4D8B+Jvtn5WCwtahCEVBYWfQA2vbDKTNXQJfA/C/Y0ZHPgWF3QJjpyegoHA1glK6Tgj5BiHkAbBqsu/IOIYC+D+2fXIKCpcIVW1YQWEHQQixAXyDUnp8p+eioPB0oQhFQUFBQeGyQPlQFBQUFBQuCxShKCgoKChcFihCUVBQUFC4LFCEoqCgoKBwWaAIRUFBQUHhskARioKCgoLCZcH/HxVxIq4RfVu9AAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(time_strain_extrapolated, rh_plus_extrapolated)\n", "plt.plot(time_strain_extrapolated, rh_cross_extrapolated)\n", "plt.axvline(x=150, c='#a9a9a9', linestyle='--')\n", "plt.xlabel('t/M')\n", "plt.ylabel(r'$rh_{22}$')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Recombine the modes to obtain the strain at a given sky location" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "time_strain, rh_plus, rh_cross = coalescence.strain_recomposed_at_sky_location(theta=0, phi=0)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(time_strain, rh_plus)\n", "plt.plot(time_strain, rh_cross)\n", "plt.axvline(x=150, c='#a9a9a9', linestyle='--')\n", "plt.xlabel('t/M')\n", "plt.ylabel(r'$rh$')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "time_strain, rh_plus, rh_cross = coalescence.strain_recomposed_at_sky_location(theta=np.pi/8, phi=0)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(time_strain, rh_plus)\n", "plt.plot(time_strain, rh_cross)\n", "plt.axvline(x=150, c='#a9a9a9', linestyle='--')\n", "plt.xlabel('t/M')\n", "plt.ylabel(r'$rh$')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Correct for center of mass drift by changing the frame of the radiation extraction\n", "### When correcting for center of mass drift, the junk radiation is cut off before sending the data to the scri package." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "coalescence.set_radiation_frame(center_of_mass_corrected=True)\n", "time_strain_com, rh_plus_com, rh_cross_com = coalescence.strain_for_mode(l=2, m=2)" ] }, { "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": [ "plt.plot(time_strain_com, rh_plus_com)\n", "plt.plot(time_strain_com, rh_cross_com)\n", "plt.axvline(x=150, c='#a9a9a9', linestyle='--')\n", "plt.xlabel('t/M')\n", "plt.ylabel(r'$rh$')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Reset to the original frame" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "coalescence.set_radiation_frame()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Close the Coalescence object to close the associated h5 file" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [], "source": [ "coalescence.close()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "mayawaves_dev", "language": "python", "name": "mayawaves_dev" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.15" } }, "nbformat": 4, "nbformat_minor": 4 }