{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Masking with `GoFish`\n", "\n", "This notebook will discuss the various ways a user can build a mask in `GoFish` and use it for the various pixel stacking functions." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "from gofish import imagecube\n", "import numpy as np" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import os\n", "if not os.path.exists('TWHya_CS_32_M0.fits'):\n", " !wget -O TWHya_CS_32_M0.fits -q https://dataverse.harvard.edu/api/access/datafile/:persistentId?persistentId=doi:10.7910/DVN/LO2QZM/NYVZKS" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "WARNING: Provided cube is only 2D. Shifting not available.\n" ] } ], "source": [ "cube = imagecube('TWHya_CS_32_M0.fits', FOV=10.0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Defining a Mask\n", "\n", "Most of the functions in `GoFish` allow the user to define a mask with the `get_mask` function. In general, you can check what the mask looks like using the `plot_mask` function to check it is doing what you want it to do.\n", "\n", "Below we'll discuss some of the various masks one can use.\n", "\n", "### Simple Mask\n", "\n", "The most simple mask is just bounded in both radius and azimuth. This has the following variables:\n", "\n", "* `r_min` - The inner radius of the mask in arcseconds.\n", "* `r_max` - The outer radius of the mask in arcseconds.\n", "* `PA_min` - The minimum position / polar angle in degrees.\n", "* `PA_max` - The maximum position / polar angle in degrees.\n", "* `mask_frame` - Whether the radial and azimuthal coordinates represent the disk-frame, `mask_frame='disk'`, the default value, or the sky-frame, `mask_frame='sky'`.\n", "\n", "When using `mask_frame='disk'`, you must also specify the geometrical properties of the disk, i.e. at least the inclination and position angle of the disk. In this coordinate system, all polar angles are measured from the red-shifted major axis of the disk, while for `mask_frame='sky'`, all position angles are measured from North." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Offset (arcsec)')" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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1d5oPnX8jG8VV3LL5GbhLaPIj6+tBanB1FgnaublyKSO6L5MNont9iiLEGEwjDDKi6AopjmA8LF16z8doTKk84gTnfEgIo255GMylmQK67H8RKECLAbpWpviLrkoguVHSXKPdsXUndCSt3EaBn+ykFrw52fGcoOvDoE5ZDImpOrkxdm3YXGPduyv8udH9vOWh30ZwXL/x5HgtaCqFrRhZrFbWaXlaz24+sx1duIRQVT659V52/AUGboMvvuVbLq0rWOzulZKoigLZnNKCzzJHYfK6dFfj2gfxP04IPb0ZXJAZWaRcEXNJiqBlNlklkosE0d9VihvVIVFsXDceiPyaWNJYNzV9CvKxzNzXJIdYVWsiczW/DuMqSDAGy3/JpTL7bFWnfXVjLbhhjSxE0DOxm1nmnk3SUYa/fOA3eXT8SYSCs6fuZLh2qiGIOSSSRaGv7n3MEBGeeOoZjOptPr71bv7kvl9qE8a8wWNFAWtrYbVzEuwY02C2iQlpwgWbQ9TLRcNk1sIF8qnrQCYW3Zgnlbmgdpj6oS6I+SqCWhRmRLjtC9zYN2pINICavUMHRSQWARfjNabNF0eTswIgbTeofQ/ieAWQfWJqJsLTy6JNFHbtLNzdVJ48r8c+RyBTcVltjRlEcd3wNq4Z3hyiXnMcJL9mibBaZKEsvVSRY1hscHbzTj6+9S7+5L5/w4tv/rsMyo0gAptBcHe0Z/SiDPc3inVrRQBQOPzaIERkmr2AzGYQCUtLFyZhIS01wZdNnVJRRRHqoWuRBBrSO7QAam0Ril9v31o6cIFoBg4U3G4da1pkbtgYdp6rGzoocFViibgyxzcdMPbNKj/LXdu9vhYxOk2yiNeOcYUUHdWlLIJHxcVoVApkp1HrvNa88cHXcG58H9cNb+PatVuaY1d1OG70yqwiVossWB2iMAyL9UQYr//kz3Ht+lle8ORvDG86QdfXGrXgUlTCMou8NDhBhyWUruUhAKJxriEXHZhxkyawCRpfqCoqLqghpeDLmHIuhJ/DK24cpZKBIEWULHLbRZRMwnnCc71RRtXFyEuSamPj1JgRWxcS1AE1qaJGqinXalog2AyPi4zGkyQ7zyTuHit+5vHRQ/z5g7+B4ttEkX/uUkPalwR9PYtjwLBY5/ZTn801w5t5dOfjvPGjv9rc1E7QtUHQhQ9aXAbaAVQZtEMe+UPjxAyreEMUs6BFIAl7aEFURSIRFEK9Hgklfa/mEc4XzmP7qwtSjh8W+I0SPygatccJftAcTwcuSCRiqlJWn2LWBDfX6SyX8biK3c60eUBQzewzu6PJSFMzsBsZOuHx0af48wf/PQMXFoYJojghuDLIIhahYVy16yMcZ1y9G3D92u1cN7yNR7c/xhvv+dXwhkkFEkjjwJJTVU+dEDKPTjyP2hyJgjjRzaipmWQRThi32YSOD1861DwqRYc0ooSiTvBDR71eUG0W1JtlUkfSI5LGvnnrNvHNqLlXtOO4QnZ2gyoxxfbQQl74x2uUnjyPb93Pnz/46wzcBmc3n8FasTnHRV1NrJgacolQRY0kvEfcIK4O2g5cOgZcu3YLiPDI9r28/n0/wQvu+CbOrN/Y7DAoU0UqGUeC22view8jH8TqjbXm+0RjZq52qAS1Pz+e1D6J47kaYJPTD0xyIT1LfHZ1iPoMLs74dpQccjtCIBFTQ+J5FdQpaNjfZ7YQNf60gjhKIoy0usUYlDw/4pJSz6NqINNUBDs2NL1XIvx4xJ/d/QtsV+cYuk3Obj6Dk97u8GR/uyXFtcObuWn9KQD8xd2/yOM7DzaxCOvDuIpF9WRjbW71JK3ymWqSPBOVR8bh2eIQJMYyhIkrjRowcPi1IqgCprYUkgyaaHCXSh1eI/aIxOAV8UZMmrary/aN+SO+lJDA5nIVJbpqC8n2CcRVD4LqooNAqCHoK07iw86ZiEZQ3VhrE4XWvOFDP8N29RhXD2+5IogCFkgWInKbiPxXEXmPiLxbRL7zCE+W3FeSXHKy0OKvZwbXc/vmZzFw6/zF3b/IhUc+Pt0AJiGVvHvDToX58KclV8Vn8T5EXY4qZGs3xkWEIrqigAtBV2nSCnEiRztFqtXZTH7NpQaRVAArnd+OHT9n9Th90RhNky3EHkZSicTaNg8jDF0rgjH3KOqYlAW6vtZEejrBi+cNH/oZRvUWZ6/+bG44fccVQRSwwKAsEbkFuEVV7xKRM8BbgK9R1ffM+sxltQKYVWdhwVD1fHzr3Yz9Dlet38wL7phSlzNKDHPVgbDK3IOyiXBMwUCNrk3tm6Y/sQK3Xyup14oUR2HeiGBwFHwRjheqdEcS0hAKkbwVnhhvYeMxqSL3dGRfLTeKZhBV3ChKW0mqCed1I4+rPTLywa0aA7Rke9S4og/hvm6pdcBb7301j2x9lMqPOHvNsxv7hPcr7+kwLGVQlqreB9wXXz8uIu8FngjMJIvLwhIRRA4Rx9lTd3L/zgd5bOd+3vCBn+GLnvq/TCGMfQxw2X4yrqJPX6KdomPUtVT+bi6IqQiuTRRagC+aACuLuq/rigsPfzQV29W64v13/Tp1PS2kXLjjmS9j88wTwr4ONk7fwFp5Tfo/7RlVHYvbMFVHESQaTdQJEqUOqYNnhY0mryR4Oi4j8Mmqf0W8+SO/zsNbHwkej2uezVp5qvk9FnlvHWPY+FKEe4vIk4E/Be5U1fOd914JvBKglOFzn3T62cc+viOFSGr6uzu+wMcfezvD4lSbMCy1ep66lxbKbLp8ipswy6W2A5IkBGPVm0N0GGwCGj0YJv77IkgWKvD+P/lFdh57EIDxzuP4ekQWlIErhlx19dlo72ykiZ2tR9ndfqS1Lwhrp64FFYrBGs96yT/AubKJp1CCXSSqPK5SpIp2Fk+I04jSkiW0ybhO6ti0MOyDwCQLI4prNm7j+lNPynbIwssXVGMiST6HJE0tdUcyETkNvAH4YVV9zV77nriOZEYU9hoywtjkObd/HVdv3ILsjue38q8N2yncXbKAxpjqXIjcHBTU6yUUQr1WBFtCIWgJo/FFzj/yET78tt9mvHUOgHK4CQjiCq69+ZkMBsMw9xWcFEjXFBbdpd5XLQni0fvfx3gnNOmpxltBnSgGPOV5r2Dj6ps5ffWtQe0YR+oxw6lX3NgH4rDGReO6KfvnQcbV/AQ7A7vscNenXstjO5+cJIrsOlLXx96DNcHKCxwSYS0tWYjIAHgt8DpV/Yn99j9RZDGFKAy74wt84rF3oHiuP3UHz7/pa/e/EWLatMbGQUmqEPMqBM+BjOuWLUPLIEn40iVXaV3CQw+8i3ve9TuMdx9H1YM4zjzhKQw2rmL91HVh0kIiCUGb15mbtRlfNFCWEjZ3bsfx7ha7Fx/h4iP3Uu1eBGCwfobhxtV89hd9B8VYcJVmnpZYa9ODVI3tAtUQIr49DjaMS5QuLo7P8WcP/DsUzzXrZ7l+8/ZJdSO3/ywKh1yPcynJQkKxh18BHlHV75rnMyeGLKwewhS7gUFVeWTro5zb/jjXb97B8295eRMSPignMxdNooA2UYigGyG/RIXgPjXEfBDzOtQDx0MPv5v3ves/4Osx5fAU5XCTa8/eiRQ23vgVzDXair/Q9v92KokeDoleDeJnhYY4zEsS78cLD97DzuOfYrx9HlBu+4yXctvZz2dQbqTzNqpK5gkpBF+ELNTi4pjikQsz0/JnwYiilCFnTz2zUQddFhTmj8D7sgRYVrL4AuC/Ae+kiSX8AVX9vVmfOTFkUbjGeLaPcezhix8JhHHqDp5329cn9aKlmgzKCYlCnQMLpx4WyVvhRlFCcS4liynKg4+8l/d+4Leo6x2KwQbX3vx01q6+HmgLCOHkkQi0mTutnTI3qSWhJbdrdLUKOlmfAlqkIwrVzhbnH7yb7fP3I1Jw6szNPPt5f4+iiAl2TlKwWR78FdQTpdipKR7bwW3tBHXB656GzzZR3Im7QtyihqUki0vBlUgWqPLw1r2c2/4YZ9Zv5tl3fB0b5dVhVR1XSFW3bBRaFI3EMAh1KqxwjVSK261i0FNwm+5WW/zFm36cut5lMDjFNTc8lfUz1wd3aUkTiZPUjSiheNqqRPc20iQsJBXEvBgNaWTSR+dzFkoebBTgd3d55IH3snPxUwA843l/l+uf8PQ0hlSZPHPlSh2ei+2a8vxOKAPos3J+mT1D1XPvxXfyvnP/7YolCujJYvmwh71ict8wwR658FHOXfwYIsLnf+a3s7l2bao5YQ18gl0ifCyvCaFCKJFfabP6qvKmt/0sFy58EpGCG2+8k/X1a2L9i+g2pUkaCweKBOCYKklMcIeNxQrlGEk42vUyjXhsomdqhtQhrNzIqhpt8ehDH2Dn4qcYrl/Fs1/yPZQbp9pj1IwsasVVSrFbU1wYNWUAY/CajMboaMQb7vtldvwF1twmt24+49KJIvc6rSB6slgETHqw+gXdAi3OtdyXreduBmnsi+Hrmk986s1UfsTn3fkdbG5ENcF+WkvzjlmbhqTTR33+/PmP8553/ho7O4+yuXkT197wVMpyLR3LyAIfDJLeMkjjpNYsZXxPxNiIxmZBS6qAtt0jkYSnMWLWwX2a20NUlcce+TAXHvkYIo4nf85Xc+Onv7A5rTYkYWHpJmG43Qo3qkP4e12jVcWf3v2z7NQXuHXj6WyUM6qo74eU7m7GF1aywE1PFseNwgU7gunPZi0363lr3yJIAUUno1Lj/harEL0a3td84oE3Ude7PPuzvoVrrnoSIq6ZvEIIhc4jJjM88ujdvOMtv4iI4/obn8bmmZsnpBvNyCGkiZOyTHGkalhJYuico2u8zAkiHVszouiSRYyvsLwVI47m0oTxVtUun7r3zVSjLTavvZU7v+J70rUrxlEqqTQluolCuV0hY48b1exefIQ3fuCX2KkucOvmM9gosmLI88LSBvLqV5nNZlr4/TLjsshCRNaBlwFfCNwKbAPvAn5XVd99yGPdEytDFmvDFO3YzfJMSKJ5VOaF8Jx0+qx3Z/5xAe9rPnnfG6mqbdbWruFFL/q+QBhRggh1MxspQQuhrnd5+5//HBfPf5L1jWu58ZZnN+XekroQn2P0pm1LkZ1KUylLg7SQf97QKriT2yuKGRJFagbUqCG5+hGuYfuYYZzhsfXofZz7+LsYbl7DU178TZy+4fYknbgYwCV1Qx7Fbs19976R933oPyE4brn6s9jQ9c6X2GeCiwSCcFltDctPsWpuVj7xMmI9jhuXTBYi8n8QiOJPCLkbDwLrwFOBL4mvv1dV33HIY56KlSALEVjLSuHFrMsuwqSzmUPz2oE6N1Egt6kSFQ+Lsr31MA89+E7W1q/hcz/v+1JCkxWWMXdlXY944x/+EHW1y8bpm7jhCXeGGpzZsNIENyNkLgUQzm/1N0OWKi0i6B4jHSsZNrNt9tLcq/mzSRUplqL9fmvM2Ri2zt3HY598P1pXfOaXfRtX3fSURp3xisvsF/ff80Y++O5Xc/r0E7nuqidT1kWQ/vK5YJ6TafOja3OS8JthsR9xu1p901G1NL1398PlkMVXqurv7vH+TcDtqvrmyx/m/lgJsoAmqg7mJwqTKOJ2zcrX5b+QQLIdAOxsn+OB++5ibf1qXvgF/zCoPy54B7QQ/O4Ob/qDH8b7MTff8SLKQVxBs5W9OTANWbhsotuYTJIwqSKzPaTPCpHwppNHcxEaiaFlq0hEYdu09f7EtczVHFUe/shdjC48ymd+6bdxdU4YteJq5YEP/yUfevurOX31WW649qlB4hjXkSzsoNo8Twt2skI42W9sxECHhFNdkUWFgx8Qvc3iuFEUmcGLNmFMqB40iVvZ/q0U8Ym6mLRu4J3tczz4ybsA+IxnvZybnvKCEGQ13uXNv/dDeD/mCXd8HuWwK2pn0oqRgk10lxknzfuREUDu2Wi+VyZpZMTRPWdur0jPZsjsSBnN/spEIFh+XnudEcbTXtoQxujCo7ztdT+Gr3Y5fc1tXHfDZ0ZJIwsVTxZUG2t8YYWSvG9+2+5vgpF7hxGVUFjnIN3XFoi9yGIu/5CI/JGIXJP9f62IvO6Qxrc6yErg7eny7NooMl02qBadz9aKpFwHovjL1JW/UQ+acaxvXsvNt72QjdM38MF3/Cb3fezNVPWIN//+FKLIJ3OWim4qhnfgs/+T6zQnkTI8/AC8Pc98KPUwPHwZ9tfs2QhGi+z//JHGanUvMoKic30EcI7r7nguw9PX8r7X/yznH7ib3YuP8tbf/xEE4fpbn8V1N35m+7chkjIdArDf2DxXg7KzCDQv1GqcZte3+dFmqDMrhrkkCxF5q6p+zn7bjhoLlSy6xiwIlu5pumgezt2Fcy11g2xlR7LYiLxqVObZaIn2tvpGqINHHngfF899HCT0BukSha3Ak2OO/GSp6dJMWCDZKYxAfEnLJtFIEtqWKAQ0DlK8NOqGl0YFSa7SKa+nSBpWPVx8OI83Y3JkV0VAPQ/fcxejCyHTtRiscfMdn4ujTBW8xEOxWyfJobmWMySMdK3aKqRGkmpIgozsMzVkBQjjMOpZeBG5XVXvBRCRJ9Fe95YbRXF5BiaRcIzu5C8zdSPXbSfE0Ry5lU6bMGWIK1A8n8Y3TOXoqDJpgnpaBsdrb346iLB9/gFu/LQXUAzXm/gIslPntpCkGrXVi1QGD/CZNGISBU6T7SJ8VhOJNedptiV1phZUYpc121doPB756/wuizYNRULvjtYqTqOyxINe/6Tn8MhH30q9u81Nd7wwZMRmYepJ9TBuECNf6Zx4CqTzuisw5oc4qopsueflGGpqzEsWrwL+TETeQLgMX0isMbESuNzgGDdN9LT/44a88O9eK0je28KECrtfJayYmOShmm5ezSdghjDJNRkhAa695Wlcc+vTsn26Y24TR6t8nrlMY8GbREo0KokONKgMhYILTXfsUkinpp6Nyvs4Th+nsgTCCKQgrf01XgMhu5TRZmIShmaW1WR3yU+t4FS48fbntKSR/P25AsvmQlv6Sx6RNKYjWFdVYTwOXGGLk3VTOyLMRRaq+gci8hzgc+Om71LVTx3ZqA4bRyL+5TM3W1FzS7pmN2MmbYQu5BBiKfLPkAjDOrArceXoFM4K70kU8202N8NJQ+xKFPl72T5daSK3DZjNwhegpaKlQqG4QhHnKQrFiW8VbeqWz/BRDPBeqCuHegEvQTLyUUKqJblOiUVvkucnqiVAqyNZrrp0yULs+3btP/a75CrgJd4iqedK5gVRF8djq8BRdSCLF1x9/IK1RwblkRHGXGQR08m/HPg0Vf1BEbldRF6gqm88klEtG7zfR7UwOTt7QEeE1qaOhBphxOM56UzwKFXY5HBtyaF76jxoqjWk+F4q8Z+vziaN5J+PSPYKC6IyG8ZA0YHHDTwiSlEohfMUzlM6jxPt8FQzoJEv8N7hHYgU1LVDa4emkYTnoO/EA+SEkcOki0TQQX/oFgpuLoWmzzTSXLazSJrYjSoyD6QxambXTpCkconv3BOHBREoy3D8umoOX1VQHg1hzKuG/AzhJ3sJ8IPA48Crgecf+oiWEakUHVlNg45ekK9U9v+exyQ1ApqI4kyHVsRLXDm6H5eWK5P40WlGTPFhmdWiKTyjZFW4s6+SGzbNiIloVD88xcBTlHUkCaUQpXQ1pfMUYoQhlFIHIlDBIwy8p1ahUsduVFe8U2pxaC3NJIs2DhVBHKmsXqOeZZe3JTUE5phwrU5BujTOrkeY9FL7+aWA/OfXfIOJV5mEeVTFcURCL1s3CPfSERtQ5yWLF6rqc0TkrQCq+qiIXEKvvRWGEcYgW4Zb9e1pJI88/Dfr2DXLEGU6rsaJSSfjUaLO3WoYnGWD5uni6XbJb2aLmTDJIhuexIc3CSM3bDrFDzTNAReJYljWSZJwopTiGbiagaspJUgdSXIhqCCVc3gVxj7oU04KqloRUSop0DoO2dsEjiK8CFSRCjJ1KakdrfkhwQ1t13vW3Ilz15culOSL51FxITPXeyQVyZjy+WRwjhdZiZm/dktokipkvyZRhwEzwB8x5iWLsYgUGIeL3MikcHjyYXUOLYLP7hVz3eUWfLuhCpk8xgx1pqlq7RNhpNyM/BDdUG3zMqQDNc95yHgSJLL3W3qDEUUnxkFKjys9g7JmEImilEb1cCjrxZhSaoYuSBSO8J4AYy0Ye0etBSJQZxZXG14tsct6HSQ30WDPUAkqigVs2ZiNpxWSakV+aWepJFZ/NOW4hPOkazCI1cJrDyptdcX7TIAQcCEfx6ShJsI0/D4yXmBtziPAvGTxL4HfAm4SkR8GXgH8kyMb1TIjlzAszBea16pIYhGdIk3MWK1aukC2eVrD4q7qkUvAufQxxQuS3ivaQ8nDt5OhsyB6O8A5pSw8a0WQIEzlKOIMEWDNVay7cfpfRFEN1ghxBZUqtRcGkVDySwrgRYKEEw2fYQJKY+StG5uCKikOI9kpNUpQ1mWtc6mSJOLidUqEbiQi0QRSIBLUkiDtMNkbRARciOgU+791IlYu43Q/zOsN+VUReQvwUsL1/xpVfe+RjmyZYanmueiXVmhLAMujMeOjKFIm6WSeQ1aYJk9OCgdt72rShpFDl08yaSSpFF3JQxrCAIIrVBpbRXCPeqRUXOEDWZhEIT7YKTKiKKMaMpCaNQl5ECMtcE6jd0cpNKgiPhFgiapQewmqiwiu8Kg4VIIBWD1BhjUXqxGcZl/bMsPNqNi9HmpqS2MPmbj65qlSjZKKBN0sxYZMicqttWnW1M0+nVbDZMUxrzfkKcA9qvqvROSLgS8VkftU9dwRjm25UftYvGaaSpERRZ696H0ofGsVrVof7UogGQlkk92MlMHOEHaYRQgNodDc9DZC2561JUwekIGiheJKTcZMUz8kGjQH4imkTkPedCNKPKXUlFInT4iIRhdniUMZS5FsHUKwWQyK4HatJcZjuBrvBfUOddpIGpCkA48Eg39NsjcbWahGCa/OPjPll5qemNbU6jCzhDqSK3sqphlGT5BEYZjXv/JqoBaRTwd+DrgN+LUjG9UqYN9oTW36Sdi+dRRlvQ+GNd+d3dmnXeet2Bms6/FokU6mQrSIwo6Z9yvNbBS+sFwNDUThFFwgirLwDMuataJmoxizVlSUkShK8QykZigVhRhRhG0DqRm6MSU16zJmLT6GrmbNVQxcHdWY4H4dOM+gCOdzTilLnyQaVyhSeHTgYyAYaKGxS1pbdUr/T8n+zNUumWsyZwfY03Vux88eJxBzh3uraiUifx34aVX9KfOMXFHIxczChQpXpjqYUTO/T6a54bwP8QNF0eQjiIQJajdn7iLMb/zcfWgTXtr7dgkijDvbJytYkySJIkw+4rOUYZIOypphtFGsFRWb5SgRQjhE8IQMXUVJ2F7gUYQCz5pU1LjoSvXs+AFjqZrvUMJuXTL2BV584ymJX8CJUtUO7yVEfBaKF4fWYHEZmkLi488Tv5f4aN/oXAKJv4tKtCFPeFS6iCUEjyGcetlxEG/INwDfBHxV3DbYY/+Thzw5TDXTUZsYgaQfpGihGaj9hI4r3sTo5rZO0YE5PGFSy/RmPZPqTTpc67VJFGpRmXHFltJTlJ6i8AyLOhCE86xH42UgBs9AKkZa4kQZStgm8TWAE48Dyvh/jVCLsO4EPNQS8jsKlLqo2KkH8TIHAlAVag22jNq7qMU5tNAmhQZJ3pt0/XxDGkacEyYMy4OJ10Lqyd+qkTxOppRwKZiXLL4F+DZCi8F7ROQO4N8e3bCWEGZ4jFmjWmbGTbspW6uUNMQyDVXdySehCQOPhNCOmSbd9ROSQz5MbSZBy1OSIRFKFOeDVKFIEYyZRRFUgvWiYr2ogl3BVcl4WUY1Y5MRdRQTSmokulElBmY5atbEUyOICoNoRKglXMNClYHUjLXAoTgG7PpwTWoviDpUhcJ5qtqly+ld2K4uSEPis4hJR3S50sRb2Pee5lmaBZMUeyTMSxYfBb5bVc1kdC/wU0czpCWFZZd6D67I1I9mNmqKOIw3WVlAxeygnK5omwhj8qYOiVDSBP5YkFZSwjsfMINox6bRiqeg+V9iQphz0YYQ1Y8QaFWz4casuzHrMk5kEdSMJkqzlDpICsF0yUA8pSglIVbCUzOUQCpjLdn1JWMtcdoEcLmojohzuDhZ60gaeE9RCKqKWlauEXUkWc1MC9bMiGgIbV/QeL3jOSzKtfEl2wWMf1YkxfwoMa+B8/XARvb/BvDHhz+cJYb52E3CaEkQNOQRl7OkQuRVlXLkksk0dOs/RoJILfvy0nNTnrvbUgyFPcwYWAbjoSuCUbEs6qh+jNkoxkHFkBDKPZAqPmoGUjGUmmvciE03ZijNbHTAulR4hFqtlo8kD0kZ7RmbbsS6GzGMxywlSDNrRZXsJMMiBHqVzgfjpwR7SvCyaEvdYAoxBpNGlhWa79PKD2mucWi67IMh2uvkb3GFYl7JYl1VL9g/qnpBRDaPaEwrAVGNQsV00TbUmBBwZXC75RWeLZW4Za2PT5ZEVtWIFsEg6exYQd8X4gpah4CpsILSBIdmuroNceJWFxoJSKJkIUrhNAVbFVKn196kpzjpS3ywUwBr4vEq7GhJheDQZItVJIZJOOrsGOG0wWYxkJpKasQptTrEBcOpR/Aq1OLwSIgCdaHtgbhs/kr44kkVtO+fEUNXdQsh8pYurw0ZWzxG9pv0CJiXLC6KyHNU9S4AEXkuoSXAlQPVMOGHg6AUezcpl0mY1I3BLN6hToJ9wsewxMFsqaIRhwWVmKNQBDk7JX/5OCMs4twKzGSsILbausyGkXlQ8jDyYIrxMRkskIVXCeHZhFW/EE+tjoqCgdR4HBUKGmwSNUEVGWtBIYqoY1dLimj4bF/KSdIYugp8UFjWZRzOFc/nNRCQja1wPsSb+CKGWkvD2RlRNEFuoWNbMlrmae+GVJWrG3XZM4ZhXrL4TuA/isgnCZf5ZuDrj2xUywzzXBTmwZDECfk+aV+716yREDBVpJg8UZrNIQ05Gg4LSe6/IE1IEsHFUsSFkPuQ2SgSSXTiLMyJAxIlC5/CuQupQxyEeIZSYUFUYy0oYtikRxjhqLQIOSBaUuPxkSwqLZKXJE9GtyvgkUAAMerKiGnXB7nFZcFdGiNB7WESBY7oTs0IMkantjq5xy+bJImkjnR+h17lmIp9ySImkH0h8DTAKp2+X1VXp3PKYaKVWBRWxaamZrQp2A3evQmx/eKhMmkgb89nN3LLOyKhErXHpYhCkyrCKiptQpg29HwI+WqvVsmK4CYtxqy5ijVXRaOlTxN915dBysBxWnaotGREwY4fUqlJP0ECeLxeD2qFBBJwEkiklDp5TYx0alwkqKDSONFg+DTCTJSWaX424e17WzfILhcYceTXQpp9m4vSXBOL0+jRYF+yUNVaRL5BVX+S0InsykbtoWgs8U2RmkzPTenL+ZSNovfUtoI6ObsVkNC0JoQeByObU2IDouxcEklLgLIpwdcyZEbbR7sYr6ayeGVRs16GwKt1N+ZUEZ433IiBVBQo236Il7DaV+rY8QMUocax7Yds+wEDF92j3nGu2gzxa6IheUyNkEIAl0V+mqRRSOM1KsRTi8OJp3QSJZTcNpn/QyNlxEud3jK1RJvLpUgjXfSYG/OqIf9dRH4a+A3gom00G8YVh1QolcnlJ96RWgiob1aozFMy8YE9NBHsRjdbhPeoL2KmZNgpGVqzYjhW4yIXViZUkEJxpaeMqecuLrPaUhRMW1FOux0qCqrIPlWs9Wcp5yMtGdUltTp26pLz43VUQ5Zp6XzIQJVgn1hzNZVzlOJxBNWnVB+L5jQ2HSchN0SIhlbXBGuZhJSC2XxjtsmDtaBt8G3Zd2IFM0nZ5704MQvzksWz4/MPZtuUUDnrykKsfBRuvNyj0axqIXyb4M2QGWnKmfAxUcYtL2Rpq6aRigeREAGqrXMy3T1IM3Fyd6nGICxTYwrR+NUcXoJx0Twgggb1J3o5LNx7RwchixTzVhTB1qDCY6N1RlWJKpRFkfJARJS6cNRaUWoRc0gqnAYPiAV5WWp7k4LT0JdFeCZdw8K2XZYARnNdLd6iVfcjlSyUEBFrlcMdSN21fs6JPB3gBGLeFPUvOeqBrBTqOhoUo6Vdspsrc4mq7ZNsF+ZBkZYRdKZxLS+U08Q4h/JvTtAykoNrjJw50jZtJIpUrp8ojLjG+wFE60TAOBotC0J8AwhFtF3krtRKHbu+jByljPyAndGAuipC+Q9zy0ZyqrxjXLhQKCcKEeuuQoEBNSoSjJxaNlKOL1FXo0DlXEh9Lz2+dniI9S/ixLfLlRfxNXIxOM3sEpJcvSFFPdbQOMict0ZEIqkPSTzxiSmAM69kgYh8JfBMQjNkAFT1B2d/4oSjinXgnETSyFsQNiX87QZOvTtMHVFp5yTYHd5FRhhWzj6oOI09A5hw4yavSHzOnCvR3aitvZWgTgghl2OsBeKVi6zhRUJeSAy8Gkpj2x5RsqODRBqVFuxWJVVVoCPXaFmF4gsNeScuyClrRVBHTpc7DKVizY0TVY2j23Ugdci4jQSlUXIx5mzZkDMbRlcVSaak5hfCivyagTpol0FUCV8xixvfq/eMEUXs5EZRNMFchhNAGHNFcIrIzxJcpf+AcOm+DnjS5Z5cRL5cRN4vIh8SkX90ucc7dtSx01SM7hTVdoNde5FqMehErwqLyGwdc9ZNmUcSGjnlttT8IY1kMWn5p5F+MpFECBJGpY7KF4y0jC7QAdt+yEgLFGGsZVjNES76NbbqIY9VG2xVQx4frbE9LtGxQ8aCGzmkEqQKhXnjZcBFo+fpcie5Sx0hSCvYaUNIuYhSR7XDqzCqC+rY8ciqZYXyd9KodLmhxr5rTpzSbG8IlNAeceDwA4eWDsQ1HeHKYnqdSyMKMjWQTt/Tbie7FcW8ksXnqeqzROQdqvp/iMiPA79/OSeOLtl/BXwp8HHgTSLyn1X1PZdz3IUh5YiE6MvmZmnUB9svFdjNicLK9VkeidKEhPtMX8/jNaKkoi6TWNJ44opadrZNka5rLxRRKvLqQqq4g0JrdnzJQIRBEUrhhdiJIEFUWrBVD3l0tMnj4zV2RgOqcYFWkSAU3DhMItWQ8+K9ULhmBN6MlRCSyWK26liLJGV4FXZ8yW5tUkWUAnzsP2K2nFqa4KoOaabITuPa9Cf7eZTY/iBKF44QLeoJFdYLQeoiLg7akIcZtKeFyp4AkjDMSxYWrbklIrcCDwO3XOa5XwB8SFU/DCAi/x74amD1yKKY1AFSazwzPLaq0IQ7KhW/Me/KtISzPOoQUtZrOEDzELV6l5mtInJVbh8NE0dSZqYXwTlLCXepBJ5TZaRlKFzjKhw+xVF4lShhFNkwwzHUS5AoqihFFNFwGDuSWQo6BBIIcRuKUuPwFEgyoGo0mtZapBYDZikJ5yOqc5JyZcSIwzcE0LoWti0eP48uNfsFhZUOcVCZDBUIRCWQRltqkVT9zNoJSPKWTf6kq4p5yeK1sYv6jwJ3ES7BL1zmuZ8IfCz7/+PAC7s7icgria0Sy2XsPtCtvTgrk9RuKttoz0YU1RTVI/eKWGp8EVfW1P2cZkKYXSJOGuvXEwiLhmSyw4uG1b4Sh4g2pfpUolsz5GsULiR/CcouA3bUQrUk9g7xsd5mVAfq8LAu6zpQZBDK820MxqFEH2EabvsBw1jfYkjV0hRCCb7oLk7jlsa8kxkwxYNUTLYJaJtn0jUhnl9UJ2waKR9n4GAcGEisJmeKq5HWwaSOv6WAuqwisiqyDCGMlgR5ia0J5vWG/J/x5atF5LWExLLHLumMB4Sq/jzw8xC6qB/HOQ+Ebjr5LMLQzKhod2Ze1HWacbMwXZhAFrF8fUMaGWyGRZVkZvShkAycIoq4Jnejql1KJBOFWoVdP0AEdqMRs8RsC7ESljg2ijFjXzAqCsZlAaOi8WpWULtwzrK0En1VihIF2IjBX9Y+ILhtXUty8bHYb62Cjynr6tOMb7JsiRKGb0gjr7U5UfFcCUbqji0pFFaO5FcSvoTEup5WZCcaqLUgy9cxb1j8Qbx2yicuEOatGev0+22/j+/1poh8gar+Wb5NVXeB3fj+VcDtqnopkZ2fINTyNJyN21YLVR0iOveTMCCtMmmfvDanSEg2M/IoimbCu2Bws8rgWlgF8QgJK2QK846SRDLs5Ut1lCZUCZPBNqsJMD4Wu7G8kJo1F+pnmnpQqWMtRl9q/H+9HIdJ7oUdL7H8XTAW+DWlGNacXt/l1GDEejFm043YLEYpZ2QYw8Gt+tbYB7LY8QN2/IBKHeO6SFWzIF5iL7E4Mq3nnCzStSe7Djmi7afJPu38bEJM5ou71+nHbPa3PjKp8XV8z/vlqPKd359lEQzzB8R+ksXLReT/Af4AeAvwEMF1+unAlxA8It974LMGvAn4jFh16xPA3wT+1iUe6/Bg5fMMVb0/C1t1Z2Pug5zL53c+UJYxHT1EEGkRJYrolksNladkvNpzyzySEUYy4kEgiqjzN9zWlLRLlbedj2X0Qr0JCC1THLCrJSMpY+h2zXoxphrEaM6yxI9DSKkb1gyHYzbKMafLXYZScarYjaHkdTJsjrWkxKdU9jrGb+zWJTt1SeVjKwEvoeWhz+Z+NsmNMO375r9I96ds2zCabdMK+poR2frCWCVwIP6O2euofiZb1AkI1NqTLFT1u0XkOuDlBHfpLQRj53uBn+tKHQdBLAD8HcDrCJEI/0ZV332pxzsUWP+HvKnsQOarkmR2h8GcZiDnwopjx41Eo0V028V9zB2XE4WpG02/jBlqRyZR5CHjrWHbblk2p0VbWsZnhWOkZSjWi2ddxlElCW0ChlLFEO4BQ1ezVQy5UAzZLcrg/ShiuX9iBqurm6I68UuEYK+aXQZs+TV2fCixV3mHFQauXCgNkOpU5F86/6723aKKnhOJ5DvMul65dNExUkp38qsiu1WjWnZxOUQhYZFIEsrloFMo+lIwTyLZIwRj5uUaNKcd+/eA3zvs414ycj+6ZC8G5XyE0fWK5MdJN59NfpCO/12dBKKw4B4hIwuSRGHbkiV/ivkC7fSX9J39vCQ1xI4T6u6E6EmJ4dUS7RNWqGZTxmy6sPZXWrHBmAt+LR3WSWxlGElj7B2FKGcGu6wXYwZSs+FGrUrgQijFZ1moJlHU6oL9JKpZDiicD9W+nULhUXXk+RzJdpE9SNs0qWyTP9OM3zZTY6S2OBrrC+Obdg+HjbxxkfeH0yzUJOBLJK+5IzivGHTjFWwpMklgv8+mY2SVm3JZWGkRgcRgn1QJy6QE194v5Xd0yGViCKY30+jygZjiuVVI8R3RdRJUD8V7wRUhMMt3RBUhBEoNpWZDCgShEk+hHpVRGkuJZ6wFg2EwZFY+EOhV5Q6bxYgNN+K022UoY0pCyn2lwRNTaajgeU2xRaWOi/VaIhMnIS9Fp0gTIQ+HRnqIeR45UaT9TT3IpQj7icwYmhFOOo0ZKmsNJfeOsiZnjAINyTqHTEaXMeaeLAxR5FOzjHeRF+zN0b34FvFnEQHGH+Zuk+Zc4X27gzN3aCFJkkhSRYcoknQy7bePXJBiDiRXN2jGFnuVhLSKEE5de6V2jlGsW+GkZN2NQw3OWPW2RikRCoShOHA1TnfS6QdasauDWFErrPtXF1usuxFrUjGIVb8BHDVblFS4ZBOpUK4qttn1JSNfJOIqRPESigp7H4v82oS2iW4ekGQz6FybXNIzDu+8btkrVINE4QNJiD9ioojnTAbIJbJ1zNu+cC16QfbcdixIorseLuMWLk3GluEqVx9a1a4i8tqa3scWAbmyDERPRarcnfJDyCSX+JypHAj4vOJVtkImw2W+atIcUyCFQ0u2b0pdF0K1cAkiuGp+AqJ0ETwSu75k7EIgdgjG8ihKKY4SF9XqYMvwDiotKNVHogjHvMpts+nGFCilqT0QSEcqHvdlcpUWhH6q15TbiMDFaoivXSqpZ+ShXhAfgrLMRZoXMs6JxJACbYW2NJKRS9o/V2PMgJnfD0dNGEuGeSWLvwCeM8e2o0XuqdBDJgtoelzmoqudaxq622PkXtiazVpo7A+tz9t5FJUOCRlRWFq5SSh2vwrtmx6SXcKMmXlJOWiOEYgi2x7VEDugjx6SsS8oXOgk9ni9wVVum5Cu7lkXjUQQy/JD7CUCIzyV1IE0olF0KBVr4hkiFPG7VqrUKLvR+1JRUKukEn2hvUAwiNbqGPv2NTJX50Sl8z2QJInmF4q2DW2RQ6tFQM7IJlnOa8c6QdgvzuJmQqTlhoh8Ds2tfxVwsqp7m+EqRkvui1lRl16bcAvzXiR0lv90Q4bPhfJvwdZg3cKSFBA/7rPjWSm+pHLYobGbX1qGsRSHECWO1EU92jJC9y/BiUuBWWNfJC/Gp+ozbEqooDWSERtSRcOjxrhLcHjWxQcPSjxvKJenDBBKcSGMGkJdjiiBOEKjojrWDK8sQjSqB9ZMeeJncNp4g2Zdaqa8JiOOaYuDJ2X5ihJ603YbIM9jx1o17OH630+y+J+AbyYETP1Etv088AOXO64Dw6SJwh0+o2swXgHBSzCre5V1T7cgKmg3QE7d1aPaAY2qkYuxtTbb0HATWlSmNDp4mtDS2CxSpmouQndFbR/JJPvxncRAxJpom6Ep86CgMW8j2PEEvMNJ+C5m9NwtBpzSHUauYCzBq2GuTdUw6UNuicfJODUhqnCMpWI9S3Su1LOriqpL1cGLmJdibQtHWrLjmwpc04yvoVqWhCSwKtPwssu7FyxZLOyr0UCasa9XZFQ119IWihOUJAaE+3l0iWShqr8C/IqIvFxVX33YY7skWGzCUYp/e7mq9gu88p5YURegsbzbHWtNdoUmsMr0ZZMuzOZZB+lAhCak2AiC7LO5VKGZiSOKHFaF3EehyVu5uRqQaFVw7eup0Xpq3gwfK1DVWqAloaSeC9JAQVC/HKEHSJEdqsRTSyCLHXVsSE0op+MZo+xqwS5FUDNiCnyNxKzTQHi1usk5n4sSmjlPM3Wt6+nIJY+k1uXXMQ+mihdQasWNqqBy5L/75cY9LCP2+U4HqcH5i8CtqvpXReQZwItU9Rcvd3yXhGX5oSxAJ7edmCXbpA5zRaTQ7joZaUPhlWy1yhOgzBaRyMaMoF3DnLaJLQkwkvKGNJKV+KiWREOg5kY6AYvmtINYc2KvwlqhjOpQ+3OrHlLF/qRDqVKAlbPGhVkOTB1VjBrY9gNgzIaMGWso9BsaE4W6njUuEkOQRkY+2C4qH9LmfRbBaVGcYinqJmzF7ys5GeSqHJmNI4fQeMIkXHdXKTKuYHfc/EYnGSYdz8BcxW+AXyJEWt4a//8A8F2XNbBVRRUL3ljRm2lG1jzdPJeCNKobdfNeI3nE/5OKkaks6bi04wBqDVmWOqmKpNYC2p4cZtCzzmZNYZ5sITZeU0lvBxXAUcecjVolld3zWNcxYRyNlBYynvcP2dWSx/w6j/uSCzrggh9ywa9zvl7nYozaHGnJbswFqQkJY7m9ovYutS2Yql5Y+cBMbZv4eeI+4qNbtKZJ+IrXzFW+IQr7DY9aol0G7PH95pUsblDV/yAi/zgcTysROWGWnQNg1gXNWxJO2yX3nZuqokqostKoKRI9E1GLaLx1U6SJ1EbRZRMoraqapIxwbBoCUUJuhbM5IE21cCQaOkn1J7wGI2Kd2QysQ9nIKuxIyA5FQvh20HQiuUSpofKO7VhqoNIilOSLxtXQ9jC4bFNeSCyjlwSvrG5G+k6d650kiyh05ESZ/ywqgoveDskNml6RcdsOpVX47cTSAaZF655wHKR94fXEay0inws8dmSjWlWkGIpIAnXdhJB3rea1D6qKpZNb7IWIVV5pW/dzokiv48sU4JXtKw1JiI+FcbJsTE3PUR2KpON9qCkqTshFFSt4Y8es1TUk4UPhXyDmepQUsYCDIoy0TIRhOR9rrmK7HuBxuBhXIZGMlFCIZ7cuGdVBRVGVoIb4WNnbYiy0+U4t1aJjv5mw9WRIqgoxjNzUPB8kRK0aF6l6j2j4jhOEcdSxFwvGvGTxPcB/Bp4iIv8duBF4xZGNalVhFnJbebwS+upJ2+VWuCbEG7I7uO1OzeMyQhOhtisUaBOFLZ2WPxKNdeZaDDVCJQWQeqJkkRs6p8wmSzBTDbkZNplr9YwIFbhLDdmjwQ5Ss8MAgC0/ZEcHiSS26iFjHwO8lNi/1MfzEBsOkMhi7IuUbWoqiMbyedQEwsikC/Hg6kgekSFaka7aVtES1CQLzexEU6BNC8bsAsWWAkVQP6e51E8A5i1+c5eIfBGhfaFwJbcv3A8mUVi2YXelKYtYyMa1SSJ/snyOONFb4nMmPUzEFsT3fSSQtGtW28JWYItfCKtyIBaNtpJgEwjTtgBwPjznzoAYCxEUDUmeDNEQ2Ska9tnxAy7Wa5yv1oPaUQUXqKqE2hk0cRhW9dsjSaKofKxjUYdVXGsHdSylV0skDJA6FNqROrPrdIm1K3nYs73OpBNN0lV41jxexUSRfENRxNyesonTOWHEMW+499cBf6Cq7xaRfwI8R0R+6IrtSDYPpomjkSiSugJTJzuQDJ9JuvA0EYtGFN1TJlWGtFKqSOOOxYx6knR6SzAz1Ue9oOJQ8Y1agosVtUj2A1NJalxsZ1i0VtxQLi+0NLxYDRn5UJNiHKtzBwHEKnPFUO7My2X2jdoLde3wdSjOq5XEauESJIhIEMWoIYqJsG0a6WIiu9S8ICYxVKavmIQYErqE6LIv4sUsXEuK1KiSiLnGoVFBTwhhzKuG/G+q+h9F5AuAlwI/Bvy/TKmZ2WMGiiK5TNXNlipar31ohhxWucy6LxlhmH2i0xZAbEJbdLzZL8gIR0m1MkN9DEnuxxQpGidSAVQ+NPcJ86kOtg0kShlNB7ORBulh5EOlq916wK4vGFVlitswA2Xtg0RROKWK3o+wPfYKiWShtUAVpAlXSSCJKkgTbgzFWJOHJ29ZOHFNYarxOXUts2sdSwUEe4fGSlgZEUAr5qaVyZrLgs4cx6uPecnCvu1XAr+gqr8rIj90RGM6mbB7LKXAS7Ztj89lEkXTy1QawshS2WneSq9zFSQ38iVPi4YJ5wtBaw0l9+JewfsQVv06TnIX9ItAKOrwrqYoQg2Kxs0qKchquxqyXQ2ofJAUrNiu95LE+eBtaWawWjUsi6eoXFPmPxKFM7IYh9epiZOZG3wzr/Nw+aleqnDScH2RRDopYhbaCYN7QFOqgBG7Bg/KssQGXQbmJYtPiMjPEXp8/IiIrDF/jEYP85CkcniZutBlCu1uiiJE3B4M7to+hjQfBVJiVB5n0I7naB6WhepGwEDQ2CFe1aGqiFMqAa8+2f28EwoRvGg6p5NQHAdCINZuXaZHUCcaT0Y3TiJIEG2yCP1AYuBVJVECkqZWRRVUD1fpBAG0KmTF69H67hO/T/ijGgvtmJQWLcAymlGvsqobG1SeTZz9dAhhH3WXVPdymbBfItkdqnoP8DeALwd+TFXPicgtwD88jgGeCEh+I7WJYkqaQ2ho4yQztmn2XtY7o8w+nE8IiROus5JqJnZIjEpvEcY42CRSyz8fyKMmEIS1ISg0ZI4656OHUVLQlI9Zo6O6SDYHry6oElHHsabGLVdvGkzcx9O4R6smEzgvapOMmWa0tWAruxa5jSInRyY9JDOhNF3HuvVYzXtSdEgi/ZiA9be9AiSL3wSeC/yOqr7UNqrqfcB9RzmwEwUjC9iTKNLu5ploJNmAyifjaHKN1mEHdZJCuzWqLLnU0XruThx7W8FZ8lr0AGgN6gt8EcjJ1w5xijM7Q+FSd3TvgypSR3UjhWbXwfUpkBFG9oXNUJJy6EFixqxJEmm8JllMmejdfJDu+/m2liFSs0J7LYkklNFTIQZj+SbZEEg1TvIfy14mw7Q2xZILt9I9T/cjCyciPwA8VUS+p/umqv7ElM/06KLo6LEz0Fjvs6bHUZ7Oa1MomhXgjZJGrBwlZtfIpYqOaDwtfd08IuIIJGEFgV2WMu8dtQOcIuIYO3BS4orJCdDYJlw8T+OH0NZ5I+llOR7B9RmliTrETdh2qfNnbSQk+w72lfNJPTm4dM1an0vkrK2kPVMfpSyhHjEBbX6fVB7RDCgW0g8xiy/9cCuH/cjibwJfE/c7c+SjOYno5iekvhIkj0ZOEunJRGinnZtZUuRm114nqkHXL7LjZp/N3YZiTXHycQhNeX0hdTHTghBrUMSCwYWGczilFqil8e5IERPJVPC1YB3KJuwl+bjrTNWI+7RUjdrGnD1SXEU4eFq9u5LGLNg4cruPSRwp3kJjzoiP+2u7m7qlqpcFyWIMkQB908IyDWjvxWLZsR9ZfLmq/kgsofeDxzKik4ZphXTSjdXkY5A9YdsUqLRt78hZwoO4pgdonDYtMb/lYiXbRpwY0UZBPHziJlscM8JIBXlqSdvy9gTqNPTzyM+ngQzI4zky4hAlEIVvPpM6iRH2d1X8TJzEIUrTcmgCYWgpLcOmuhAzkZLD7PvMiG8J5QDa1z61IwRScmBXKvAeKpqSi0oo6Nv9TW3fFZUqYH+y+BbgXxCki54sLgV1nakh8a7NJYnOxEr/+GYyxClBo/Q3qdSaSvpnkZ4abQ/xY/nKbuKyrcKCBmki19XtT5xcGkPCpQBf0uTAWZsCy/Ts5JOEwTdFdroeCYGgZlS0JlVK/OraKBJZRPWD2AzJVJe8/CDNmFLinTTqyUSN1Vz6oXmdygSYdJHDyjwmT1emfiRpJ5MMV5goYH+yeK+IfBC4VUTekW0Pt63qs45uaEsOW6GsJmjet3TPzwHmCsiMjYkSTNfObixR7ZToC5+XOqgDqBBb+zZ8Yrvn96cyVTTPe4G2VB4hVM8qAilpXDCbtgTZftg2IScFUydSvEd+fGh5N/Lz5zU1E1FEiWJinPY6i60IrmN7P5OezN6TBhCJI41Z47mzCzXrNdB4uho2TH1o7Wf2xIJKJ5gsVPUbYh3O1wF/7XiGtAIwV1oOu0HmrskY76TgHsgmbLYSQXsy0KgQpl8kcnEZYcTQ5fwzEwYOmv9bIdA5ccSYEFHwhU0iaRFFp2BVM+k6UoS69vbkKc2JojO2VnNjhWlh3DaGlGhn2wjjtKti3y3keWg73T8RU1fFyAbXJZDucFtSSSRMa5wcSxmedMkCVb1fRF5I6G8K8CHVrEnEssFY3kT/eXqVHhQpW7Sj/0oRXue5ABMFezM1JLoFZhrizAqfyrwRV8JMxYAWYYCSdxtLsCHlk7mzmqfT2vyI0aOqEl204DT+P2PIM5PbiuZ1soXkon72+UQguXSRTfBcqkikkDLjsmuTdJF4nGSsCV/eDJAT119p2zvS9q6KpakmbKqXaupiLkUo8xWBXnLsF5RVAv8XwXZxL+Ey3CYivwS8aikzTwuHDsoouvrpwTSXg1zsTJMiu+vLTvKQJRzBZCsA2x51h0nS0Kb83VQ06owRRlIDskVxos5D9yj5BDVpIR+mb1oIYiv8rCFBi8hsTC4/dpy/5uY1KSONVZt5ng6YpKBGEspViZnnnjLURoKYThRNpTMlZQ7PMk7W0a9LJNSiQMm+0AnCfpLFjxJcpp+mqo8DiMhVhESyHwO+82iHdwmoPUdWxMsSiewGyvTUgMyOoQAaXG2STeK4Ena9AhPqh21PdoGGnGYFc+GBguRObCU+dT+TncuZJ6B7j3fOaS5RuxTpsB1VIp/oGlUBbytufFgAWS7gJKLwzXOwaWRKVdIKhDZJSHO9ZsBaLiRVKy9Wk/0GUmsm3ej+sRF5oFXtkeEgGlazfa6ACM6XAU9Vba6Uqp4XkW8H3scykoXqEsTgxxu5KNtif7SYBxtCV/afZlToHJMs6nPKpGhZ/SsNcRGJ4GZ/LsF3dolu2ZbqA83Kr0zq+dk+QW8P5OhqbWI5JBTxteqCiUSMIIwwPKHsne8eWhp1I7s8QqZC2fFsnGbvyK9VV41LVcgiU5hEcZCJrgqjcaiFYSnqJ6SuxX5koTlRZBtrkZma9slH0ntnoK4bVSV9gH0mamd5zhErMU0SxeQBxZsXQJryfFOP2bxM7sVpujuTNT6nVpqadvworeSSQ+CQKKFEA2Zu52hJFXFMrUSwfOzTpKVMjekWLabzHVMcRWu7vZZLb0qsGoybKxzaPQ37WV3eIyLf1N0oIt9IkCyuLHRrLOarkK1E43FnFdlj5c1E3dnUK21imkYU+WczsTqJ7/vZa4Qm07L7sCevydCYCv9mn514iLRTvI0v4+S3yuSNAZMUrZkTxcTDvuZe6gaxtWLmSbFzJ2kols9rGzE1/R6p2lmPhP0ki78PvEZEvhV4S9z2PGAD+NqjHNhSo64bO4Khq/p4P1nt22sQT/M7P+UV5LpzA0t93mtytD4XJ8e++9PeJ3xG9iaWzgqfCGYOCJmdI9pWQFM0aG6UzQOmkv2jI6R1z5sIxvZRWnaHluvVa2xFSOeg4bVYu4ceLewXZ/EJ4IUi8hLgmXHz76nq6498ZPOiW73ouLCfDlp7oIIyXGJbKVV9R5LoSirZv06a+A3oTJDupM6VdHs/KPa5ySK927lk1iaxSeiymT3l/GYI3cN+Mg25hNHYE4L0023N2NhE9tZ20rFySYSuFBEJIkkR2bM9RVaSExA8dVSYt2DvfwH+yxGP5WBIoqRvun8tG2oPWjXuU41ZHPm9uJdd04Uld1rsQpJGkmU/HMSiB1NWak5KxhpmsDQzRC4hhEKVIUW8S15CO0pzP5tsF3HyanYNBGIbRW34Lh/3DLJLRY3jPk0fFRppwps0kXk3jCi6Rl8h3E/j+mDNjk94+f8cC5llIvKjwFcBI+Bu4FtU9dzcB4g6pdY+ivXHCCv7bgaw/WDWdCvWW/smU3HaLIjn0MK1ch1asJU/F9drjTkbRSbWN6HNqcJWlzCmpHcDbaPjFLWmlYMxZXitr9MaNzGysr1j6xyZncEIIUkYiWQa0aYbsJWkiSzZrG0bypkqe28vz0cuwRZWZSd7f5/WfycBiwor+yPgzphb8gHgHx/o01GiEOH4I+MstsLJZMj3XjA92NQX65E6rkJ9R3tY75GiMRC2bsq08mr7JifaPuq6vZr6bPLk6kW2qqaqmzPEb+2cf8Ju0JJgJglEIakCjc0gPqr47K0rWPvzEj+bDKGqbTKoNSv9H94L231GFJrOSe0bT0X8DaSuQweyWepHnnlqZJs3lLIq3yccC5EsVPUPs3//BwdtWOSElPp4nD9SFvkXAqBcuILz+tDt87HJUHptYcNRWkh1OtNTx7qXd1NveSYsG7NG1DXZoRCiJclK8tnB40LqOqviTAOp0gRnGUlMMT62Pu4zIsolmfw7hEG0o1WFhuyy88evmq5FLrlYN/pG0tAm/TyetEWKOYFC+D3y33OatDBtm5OTUsR7JpZB2f9W4DdmvSkirwReCVDGHpkhNfiYh56H/Fq/S4hJZRws6MZryN1IkkOUUlK0YKYedNZZyQwRYrEZ3tItG7Fc1Qe7g5NmYkvzEGiTUud0reCm7H8gNPZBW16MVpcum/z5Z4TMldq80fZYSDunRRoiSeNoZchqk4Uazye1b+wZ3ejMLO1/YnyGvX7PrAxfXsQofOeT72Y9shknIn8M3DzlrVep6m/HfV5FKB3yq7OOo6o/D/w8wHpxarFKYX6D5Dedswq3cw5PtW23MIhAaQp9VgmcLG06F4ntUdVNy8RwoMz7Ek9hY0/tDiVOxkZ/T9JGGk+HJKCtbqRJSRMAFbkJR4ggzQ7ZkoK0SxRxjDNcK9208aSedFymSdWxgCshXWNJg9njd7ILVkT3UCahtOwWdR0S9vLPnXAcGVmo6l/Z630R+WZCOPlLp0WJLh1s9YdwY3Q9MM4dzIpuYenWoSxXp+IKibhU2Rvo6ObZscqiiQtIBWTtM5qKskisuqWFwKCTyp7mQTNBJhLf8rHTJpJGE5HkMZkwirr4mc5lyt2cYqX9bVhdt3huBK0bG0WSJMxL1JUq9oNJjnnUZR4nY63b8vdX4LY9TCzKG/LlwPcDX6SqW4sYwyUhv3FjajJAivi7FPgYHFTSEEZc/KT2rVaHyVVoi2N3kbSowzxF31bV2khDYwcykyNieLgT8lU/qRcZh3W9GmL2AlMxItmIz0rrdY2jhH1dqk2RPXeC05LEAk1VLpOafFvaaiV+dSNi55nT0zKTvW+3KUxq4pVFEoZF2Sx+GlgD/kjCzfw/VPXbFjSWS8NBE4z2Q+3b0kWahdC62x0h6lHihJgIQddmlRyUqIRjalQ51NQcbc4TVvvmGGGiC+KUlnhgGkvyrkRVx0m7FqjX2A2x3VnUBJcuQSTvTZQUWtW2MjtMPHm7rkVOEvH7N3aJSLIut3V0JnpuXJ4Gr0E1hIY0LnVhWHEsyhvy6fvvdYXBblrz4U8gzGor998qVT8LtUdSt6x83mdskZFBMpja/p4UXTnNLpCrI6EgThyfBMIIEkw28XOiMFdmJhUk8ogkpYldbLh52redOx4jeTi64ozt2iWJZvwTk7+VBEgjremUfRcFs3cdRXGnWac8lrP0mA8m9tpq2Uq37BoITE/Q2Z4Y70O6dF5UlijBaPu4jYExTEAtTEqAlGCs3clp6obZGeIxg7klqD4TdTsiUVR5wJQml2eYkGFA5jtpjLKd+piJBOLDawhms+sTjZtS+dnEWteN3QgCYXcNz7bfMmWR2liOUSXqyWKZEI2eIgM0rq7ZotrGvPkwZkiNdgyRIrhVJSuKabq4nUeDvSSoFxlvqQVA5SpBjKVM4ddRjUi1MTrHbdkbaBNFPqNT+LZCndlr8kuQx0tEtVAs+lUELSWl7Etua3CZETivOaG0Kpu1UBTLZa9YwDh6slg2mLE09hXNJyS0PRAqWWzDPMetwuooZZERUMdKmknzFnslKtmEtoHMPtVEQZxczTBpICeO2k+qBfkhCofkMSnd7wWxuroH6nBcJ8TU1mY8eZWzrp3H7BbdCM3uea5g9GSxjKjqsEIOxGZrCFjqQogT6wA3skkvWQfwWRNfRZGxTZr8HLM+0Hm7QxISJ2RID9fGQGyfm2UP8L6dj9GN2vW++WxdJ9VCCh9qYkq08wDgmrL8ueqRX0PvG4OvSR7LYqtYIHqyWFZUNVIU0bRgLguzU9hOZp2/xGpOpp7AZJ6L1d5wLnVP30uaaI6bPzc2hpAHEif1pdSKyL+jdL7vNLLMCuxKJAygY/OIkoST0HR6WgZpTxIJPVksK0wdkSJrPTBlUhQOqik3+UHOA9MnsBdYy0LbNRJW5I42e0xxaaKpwU4wMurhFJU5SKTsuApkVWQBdc2QSey2iJooK4aeLJYZVR1cn90ilFMcJEeGXLXIDJfp7RZfNFJPK2DKQq+Ps2ht4RqDpJ3XZfESlvOeCK5zMXvymMDJz6tdZZh0ofGujpyhzupdzFAhDnsMQBInpkoVZPaJnChIhNE+1hHDgqdyF6hOed++QjTe6miMjsZ9pawZ6Mli2VH7xlvQjbVI9gzJksiOABatmk0izYK8JCcJi/3IbBV4n9SBY4MFVqUYkynvO9eM175LTsLLgiWRcno1ZNlh0kWZNdiwSZmrBEWcFIdZsWkaAYkV2G1uYLXU765x0zwexxhlOIGcMKa95yyQJEaHdl2mPRJ6slgFxNDoUFRXU3q2tGIDtLn57YY3aaAbVzAvUthzRgwmzXQ9qbn+H6MpF0YUE02ro/0ij7PolgZQPVrp7HKwJDEePVmsClTDTG3p0zq5j4VfW00GFyeH10tzA3ZWWfGRtKYOQdOThYXPfaOnosYcvrvSrpnFdeQu0lDsY2km5DKjJ4tVQZYCPmlczAKcbF9sN2ms/+jBYjJM5WhOFIigyv6PTxLPrybOK0HKGZT7SxeDsk1KTtqeE5MM5s3yTT1b4jGrOqbgZ9/fyGk/ta0o4vn9FVGUdy/0ZLFKSDzRTNK9IWiRxTC5zJ24H1KtDpq4b6BJAc9JKzNo+rqJerRoy5LZ8RV5LkZOGGZnMGPjQeIzLEK0LBqS6fLMvKRp18HcriegZ+mloieLVYN5HcxD0U2nTvsZKbgkHYhkk2cWYbQ8CDEnRCQktkHHkNmZcFaZHBoeSYRRzJhoU4gi91RAM/kPgsMKAMtxhRs+e7JYBUQ1Q7LVPYn2tvpOu5FjuwRNzYo0uAbRVrGbhK7nIJbGE6tNIZnNxOwgNgZTEWbFfBy0Tmn6Djq/NNTjSNGTxapg1iqp2cRPenpmvKt9sHm6rIBNUUyK4dNcjD4Uz0lkkEdDTrMfFBlRmJay3xyv63ZcQ+6xsLTxZamcfYUHa/VkcZKQqyWtpCiPjGeoLBbQNav/Stf9eaAMV3vWvY2DViEsJwprArRo5CR9hUs3PVmcNOTuylS2fsZNbraEvWBFgPdCHt/R9URAO4V8Gsz+UhzAAHtcWKaxLBg9WZxk7HWj560N7P/uZ3JX416YUk08fd4kk3kw7VzOLYeE0aMnix5Mj2Y8CLyHWmBg5BONFdUh1K3siWJp0JPFlQqTGmbkf7SMmXlv1vwQlnTlXFPn0or+eo0RpG6xuSE9Dg09WVzJqOsgBEwhgmQMnWb8FAn9R2KbAYvj0EJwo3rS3bnKvTaKookZ6SM4e1zRqGJx3Dw129ye3RaNhhjboYW0GgJJV+WwWIyqOt5u94cFC/U2iBx+oNcKoSeLHo3Hw3I0JMZl7BVXoCEPpF0RJWSoivqmpkXq8L5iyEPNewA9WfQwqMJoHCSA4WCiJm6C10Ysd6RuZ3hChmspoIJ4AR9Vj1UkC5gc9xWsgsCVUCnLMh+XtVbBsiH1cJ0yMWKymL0OtTXje0ITdp43jF5VpAhSPbgL+ITi5EsWFkuwbB2llhneM7GO5Pkf3oMXZBzLZZSZrQNCtOiqGjRzXOHk0MXJJ4tuVaRVw6CcHfo8LZDqMFDVUHSuW+dcUtWpsI74mJxm1bvG4+XqC9rjUHByyGJWpJ8VPllWqSKlY3dgK7OVe+t+tzzx6yiK4dadXJKsOXJ6UXukkub65uPuceJwgsgiGNYmJk2elblM6NSNSEixCVmVp2mw/IuDti88COYti9fzwxWBk0MWq6RfikyWksvfy1Wnwk3/bmZ868OhexwTTg5ZrAq6RJHzRXcR3yuR61IrdvfocYnoyeK40YoIzLbntR8gBkqtACHUPpTXK2b05uhxYrDQ4AMR+V4RURG5YZHjOFZ0G/PaI3/PsjWXnSggEEWvCq0u6hpGo/DY535bmGQhIrcBXwbcu6gxLAS1B2R6kNgqlpufloTWY3XgsgC6fSTDRUoWPwl8P3MUtD9xqOvg7kw9RGMv0FVM5RaBcoaxtsfyw5pRlfvLDQuRLETkq4FPqOrb5Uq9yfJ6ET16rACOjCxE5I+Bm6e89SrgBwgqyDzHeSXwSoBShoc2vh49ehwMoscs9orIZwGvB7biprPAJ4EXqOr9e312vTilZ0/decQj7NHjysVDOx/hsdEDU8X9Y1dDVPWdwE32v4h8BHieqn7quMfSo0eP+dHnbffo0WMuLDwoS1WfvOgx9OjRY38snCx69LgiMC1ZcMXQqyE9ehwHXMwJWuG6nr1k0aPHcaD2q5Hrswd6yaJHj+PCChMF9GTRo0ePOdGTRY8ePeZCTxY9evSYCz1Z9GhwpSb19ZgLvTekR6hpYA2CVjFNvsexoJcsegSisGrhKxwHsBB0q7OfYPSSRY/o/48tC/vmQPPB+r1YxbMroL1hTxY9+hqal4KcKNL/LGeTJWsZcZklEHs1pEePw4JbUpXkkFSlnix69LgkTDEC26RcRsKY1iLzoIc4hGH06LE8sAK0R93HpJ7RKX5a1fYTgt5m0eNkwdy+x7G4W3JY4RqJYtVaORwAPVn0OHk4TiNjXqXd+tSeUBx7wd7LgYg8BHz0CA59A7AqNUBXaaywWuPtxwpPUtUbp72xUmRxVBCRN6vq8xY9jnmwSmOF1RpvP9a9cXKtMT169DhU9GTRo0ePudCTRcDPL3oAB8AqjRVWa7z9WPdAb7Po0aPHXOglix49esyFnix69OgxF654shCRQkTeKiKvXfRY9oKI3CYi/1VE3iMi7xaR71z0mPaCiHy5iLxfRD4kIv9o0eOZFyLyoyLyPhF5h4j8lohcs+gx7QcR+V4RURG54SjPc8WTBfCdwHsXPYg5UAHfq6rPAD4X+Psi8owFj2kqRKQA/hXwV4FnAN+wrGOdgj8C7lTVZwEfAP7xgsezJ0TkNuDLgHuP+lxXNFmIyFngK4F/veix7AdVvU9V74qvHycQ3BMXO6qZeAHwIVX9sKqOgH8PfPWCxzQXVPUPVbWK//4P4OwixzMHfhL4fqamwR4urmiyAP454UKvVPUXEXky8DnAXy54KLPwROBj2f8fZ3mJbS98K/D7ix7ELIjIVwOfUNW3H8f5rthEMhF5GfCgqr5FRL54wcOZGyJyGng18F2qen7R41lFiMgfAzdPeetVqvrbcZ9XEVS/Xz3OsXWx11iBHyCoIMeCK5YsgM8H/pqIfAWwDlwlIv9OVb9xweOaCREZEIjiV1X1NYsezx74BHBb9v/ZuG0poKp/Za/3ReSbgZcBL9UFByLNGquIfBZwB/B2CXU7zgJ3icgLVPX+oxhLH5QFRMni+1T1ZQseykxIuCN+BXhEVb9rwcPZEyJSEoyDLyWQxJuAv6Wq717owOaAiHw58BPAF6nqQ4sez7wQkY8Az1PVI8uavdJtFquEzwf+DvASEXlbfHzFogc1DdFA+B3A6wiG2P+wCkQR8dPAGeCP4jX+2UUPaFnQSxY9evSYC71k0aNHj7nQk0WPHj3mQk8WPXr0mAs9WfTo0WMu9GTRo0ePudCTxQmDiJwVkd8WkQ+KyN0i8i9EZJi9/+sxo/K7ReRp0T34VhF5ygHP880icuse7/9zEXnx5XyXw4KIvExEfnDR41h19GRxghADt14D/CdV/QzgqcBp4Ifj+zcDz1fVZ6nqTwJfA/ymqn6Oqt59wNN9MzCVLETkeuBzVfVPDzD2o4wm/l3gq0Rk8wjPceLRk8XJwkuAHVX9JQBVrYHvBr41TpQ/BJ4YpYl/CnwX8O2xTsYpEfldEXm7iLxLRL4eQESeKyJvEJG3iMjrROQWEXkF8DzgV+OxNjrjeDnwB/aPiPzvIvKmeNyfj6SGiPxJlEDeDHyniDxfRP48juGNInJGRJ4ZX78tSkSfET/7jdn2n4tp8VZH4654jNfH66DAnxBCuHtcKlS1f5yQB/C/Aj85ZftbgWcBTwbelW3/Z4QwdwgT/Bey964GBsCfAzfGbV8P/Jv4+k8I4cXTxvErwFdl/1+Xvf639l48xs/E10PgwwTJB+AqQu7STwF/O9tnA3g68DvAIG7/GeCbgBsJ2a53TDnv3wZ+atG/0So/ruREsh5tvBP4cRH5EeC1qvrfRORO4E5C6DNAAdw3x7FuAfK8ii8Rke8HNoHrgHcTJjvAb8TnzwTuU9U3AWjMqBWRvwBeFWuPvEZVPygiLwWeC7wpjmsDeJBQFOhPVfWeeIxHsjE8yAy1qcd86MniZOE9wCvyDSJyFXA78CHgplkfVNUPiMhzgK8AfiiK8L8FvFtVX3TAcWwTMnkRkXXCyv88Vf2YiPwzey/i4l4HUtVfE5G/JBQp+j0R+XuEtse/oqqtKlYi8lV7HGo9jqvHJaK3WZwsvB7YFJFvglTe7seBX1bVrb0+GD0bW6r674AfBZ4DvB+4UUReFPcZiMgz40ceJyRcTcN7gU+Pr40YPhVrcbxi+kd4P3CLiDw/nuuMiJQi8mnAh1X1XwK/TVCnXg+8QkRuivteJyJPIlS2erGI3GHbs+M/FXjXXtegx97oyeIEQYNy/rXA14nIBwlp4juEIin74bOAN4rI24B/CvyQhpJ4rwB+RETeDrwN+Ly4/y8DPzvDwPm7wBfHMZ0DfoEwUV9HSFefNvYRwSbyU/Fcf0Qgmr8BvCuO607g/1PV9wD/BPhDEXlH3PcWDSnlrwReE4/xG9kpviSOq8clos867XEkEJE/A14WyWLRY3kC8Guq+tJFj2WV0ZNFjyOBiLwQ2FbVdyzBWJ4PjFX1bYseyyqjJ4sePXrMhd5m0aNHj7nQk0WPHj3mQk8WPXr0mAs9WfTo0WMu9GTRo0ePufD/Aw4J2lOrxQzvAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Make a mask specified in the sky-plane.\n", "fig, ax = plt.subplots()\n", "ax.imshow(cube.data, origin='lower', extent=cube.extent)\n", "cube.plot_mask(ax=ax, r_min=2.0, r_max=4.0, PA_min=-50.0, PA_max=50.0, mask_frame='sky')\n", "ax.set_xlabel('Offset (arcsec)')\n", "ax.set_ylabel('Offset (arcsec)')" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Offset (arcsec)')" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Make a mask specified in the disk-plane.\n", "fig, ax = plt.subplots()\n", "ax.imshow(cube.data, origin='lower', extent=cube.extent)\n", "cube.plot_mask(ax=ax, r_min=2.0, r_max=4.0, PA_min=-50.0, PA_max=50.0, inc=6.5, PA=151.0, mask_frame='disk')\n", "ax.set_xlabel('Offset (arcsec)')\n", "ax.set_ylabel('Offset (arcsec)')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is also important to note that with highly inclined disks, the perspective means that masks specified in the disk-plane wil not have the same projected azimuthal extent. Consider the above mask, but now for a highly inclined disk." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Offset (arcsec)')" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Make a mask specified in the disk-plane.\n", "fig, ax = plt.subplots()\n", "ax.imshow(cube.data, origin='lower', extent=cube.extent)\n", "cube.plot_mask(ax=ax, r_min=2.0, r_max=4.0, PA_min=-50.0, PA_max=50.0, inc=65.0, PA=151.0, mask_frame='disk')\n", "ax.set_xlabel('Offset (arcsec)')\n", "ax.set_ylabel('Offset (arcsec)')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This gives a very different mask than the one above.\n", "\n", "## Symmetric Masks\n", "\n", "You may want to define a mask which is symmetric, for example encompasses a small range about the major or minor axes. This can be achieved with the following variables:\n", "\n", "* `exclude_r` - Whether to exclude the radial range given, default is `False`.\n", "* `exclude_PA` - Whether to exclude the azimuthal range given, default is `False`.\n", "* `abs_PA` - Calculate the mask taking the absolute values of the polar / position angles.\n", "\n", "For example, to create a mask that is +/- 30 degrees about the major or minor axis:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Offset (arcsec)')" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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SDZBqV/jF4AaWer6gWixxgyLYPPCLFV8Upwx1L4Jh1ZVZBqmV9h1rCKSzgaG3Gx06LWI0n/DW+J4lXdWlsN6joiGIrbCriWgaVJGVMS+9+ttZKC7iwTN3slQ9sfH3dhn2Flmwx4kCGhEWGuK4kKrb09Kvg4oQA5Wip8IvEogkbGODdyJUr1JjOinrwQ1qCJKKJw1X+EUtzXEyW0YYCDFoKu5Tw7Hr+cKTyLDw5FAYXLYdwR6iA0M9tF7dibUx1qqyNY0w1uhsJtErkqcHzBKo1d3XrMFdziHjCS+7/DuwUvLI6J49VwR4j5HFPkJOGNZXlDqvyttrkoy0X2aLrx/RSAXJLboGouShJujx0dMa3quE6M+otuSHz7cRMkLxBk83sLj5whNBIDA1giuNl2KMBHuISWPXnHDXmqzRI7LWk39ShW5n2pZM6rrxmozGqyNNkw0knt+5kbyI8KyLv5qxW+LEyufP6bs7jYNBFqEIDZOqnV69E8zeTe/OJ/L5RGq6NYrYznJus5y+NBmpSTqIX9XGftDaXXYKXlqgkWZy0sikDTcw1HOWasFSL2TqUVwCaWyYtx4n/qTyOSjrqQmTClkZIbFc33rXLDcgB1XEe17OPX7i8vkbePKh53K6OknlNi/7datxMAycqmicUM4hpmx03W0qLZ+PxdeRWIMYonEtPsE26p6m2hTjbfn+Q+GZLD9DBR9o1SkK01YbSNvGCd4+XrKJhgkT9xnHD0ojXUSCSHaM+JGCGgX1x3DZcTSaQ2JBHG2km/R0G4dJmuVHnFfqeZjsXftEa9+ADgft3+sCPRpPOfJC7j3zCe49extPOvRsXyxol+NgSBa7DS50Ca9rT1j5ZItPsKiexE5isyB3S0Lz+A9PW58eHo8XDqraRGqaTOWwJj3dkxEzjlE9ybS8GdGDQrYdJI+LSgzyonGBm2D7KCXVuWjiNxpDqt/Gu2nr0qSCvz69viHDTc+ZCKS+pns02pzOA6WZ4yXHX4ej4szkkQsc6PZgx8hCRK4VkT8RkTtE5HYR+YEtPJiPVwCkFf23g1wZJYyYqzCerP2kiu0HN1JRchJY9UH4n/XgkEntCURz0mjsEi37Qz7Rab9uuVFFVh1enDZ5ZoF01EjyruTG0rSYJmLUk0jb5pEqhA8tOijahsrNQmHRuWEn0jNbRNrNk84RhweXcKi4hBOju1mqTm3iwLcGO6mGVMAPq+pHROQwcKuIvFNV79j0I4UngMRaC7stgs65tcOHo/9/lvHWdbMvkSi/N0/ySAhxYkV9wqk/TG5HSMdvvCjREOp3J0hkgA4RtJAZN9O22Wm6Ivee5OetPm4jjAvFxzaovx5aCM4ZTAVaCizOgTE+/2OT0ra1LDY2YFrrC/ycR8q9qqacEbMHhPwdIwtVfQB4ILw+LSJ3AlcDm08WsLvIoYtZyGvWmz9KDsbPUBVfiyLbwBNKjInIP2lJDdIEX5m2xyRoLQ1hRE7KSMOW85w98wB/9o4fw9gBNz73WzFFEzqtBuYPXcqwOJbep8sRNSQTqlxFiQdBgitXjSBB6pDae1aYDyHctQuejguIkizszNXE1cg51Qut3Jj7zt7OJ0+9D8Vx5fzTmSvOM0hrG9MfdoWBU0SeDDwX+OCUz14PvB6gkDXStPcyYs7GRmThZhSzo3oV09ubDzrbSGt9aikYpIg2UQS1JP9GnMAZYaQPBY5f+VzOPHE/qo4zT9zHHR9+Y3sMYQfDxYtABVsOedYr/yHGFGlfaoE6ekzAVP4aRINpMpxakIlrpCXrw7BlaeX8J1IVjMZmc6fIqF7mzx58I7VWzNsjXDy4lrli8fx3GG0m21AER3Y6MEREDgF/CvwbVf299bads4t6zeIt2zOw7UAkivh6LdT17C663EAK2fzsTlSS8RIruFjHsoiuShqiEHBNFrsvV+FIhlmhMdK2PCPpaIrTqrGHBDz24F1MVnyTnmqy5NUkW/KUF7yW+aNXcOjoVUgNZhK8Is5LSeIUM3FIpU3jomh/CTEQMql84FXeg+RcEW0WMF0dCQS+qkbGFJydPMZHTr6Vs/VjGAquWbiZ0g7Pf2wR8UGjuikG3hMrd3Nq/NDUm3FHJQsRKYE3A7+1EVHsO8xKFHAOEkXHaCv+T5NqLo0KEsUOk9kMOsZLpZEwovkDMiEivs/sF5rtJm4oCNaUKXhLwzEuvvaZaaiT0RKjs49y9tF7+MwH/xsA5dxhBvNHefbLvx87ES9ZuEytim5a5w3YGgappcUs+wkka0RwzoSqRs4uw6AMEbHZtc2DvtaZpKrKyZV7uPWRtwBw0eBqjg4ux8omTT2n3gZ0vgWPzwE7JlmIiAC/ATyqqj84y3f2jWQRXW7nYqvIYy6sWa2W5EFDyR4RRPWYACWk2AUgRVcm12bIDfEeiLZRMxk9I6904ytyCSO+j5NaaPZnA6FoZ5/BOBrvxzMPf56V0yeZLD8BKNc+7VVce82XURbz6bjRniF5fU0rOGsQVezZCfbRM95+sRnIY2PqjRs0P7z8eT7+6NupdMyCPcYV809DdrPtjPUli50kiy8H3gN8gsZj/2Oq+odrfWffkEXMyYDZyaLrFclVk+7+ot0hi5dIEywGp0nj+YA4kSVFW6a8D1Y7OJBGDelKEa3X4ie0EkPFSWMTdHpT5Ix0RKFaWeKJhz/L8hMPImJZPHwFz3nB92FtMJYGb0uSfMI+JcSV2JUae2oFs7TSxLVscXp4rRUfePhNnJ6cwErJZcPrWSiO7nqigF1KFueDA0sWSVWIj9/wZI51GjIbRcoWTdGXDSlE/T4PZNIggUTPncsCo1xB4+ZM9okgoeQVwOPntN8LjeQQJZSYY5LUm+68jQSkuY0C3GjEow/dycrZkwDc9ILv4pLLn5HG4MpGR4p2Dan9f7tcUzyxgowrr8ZE1eRC7BlTULsJd5/5KJ9+4oOActnc9RwpL9vUY2w1erLYbTgXe0U0CrY6hWX7ySWOLF08d42mEv5OG3LIH/953IONkZPeHuADpMKHkQAMTJMkVnFHJrVEj0b836r1GYknTvRMzZAaTN0YUKvxEo+d+BQrZ08ymDvCc175jynmF9tj1IwsasVUih3V2DPjVCAnqnSzGCdnwXJ1mj9/6LeZ6IgFe5RL5q5jYOYveL/bjZ4sdgJReohFdbsFWvKaj3kGKqwyyMW+GF5ZC58lSSObeJEIhHZOR/yeyBoBUNmx4neN/54W4j0h4X3ct8Sw8fWQG0ljBGYmVUDb7pFIwkXSiBO+bQ9RVU49+jnOPHovIoYnP/frueypL24Oqw1JmKotYZhRhRnXvvReXfuYjBjIdR44PXmUj558K0v14wiGaw8/23s5ouS3x9CTxXbD+vDsqJMnO0HMVGxta0NdiU5GpYbto9dCmqSublFcyCZdmMxT7QHQPkYyMLa31YwcfJo4TW7ItKpZ08aSGS9zgkj7zt2sXbJQklQQ3bTt7FY/3qoacfKev6AaL7Fw0VXc8jX/OF07OwlSSRVyYsJ+i+UKmTjMuPZSRlRNzi6fk9fEqePkyj185JE/QBAumr+GI4PLsVmcCMLGiYC7DBdEFiIyB7wGeBlwFbAM3Aa8TVVv3+Sxros9QxbDQXqCy1pPmCSaBwkh2Q4aV2fq3dlN2Jr2GpIEkRoCxSd4lCYSAWVjyPaTXKOxZkVYlzwimkksSjKArhkJmo8hky7SdYkkkZoBNWpIrn74a7j6vKPRdOmxB3j8vttYuOhqbv7aH0r7FOf3IS4QTyAPO6oxYx+bYUYVMq6QMx2yWGdeOK159wNvZOyWGNpDXH3s2aSeJXkofaw5usm2ka3EeZOFiPwrPFG8G7gVeBiYA54OvCK8/mFV/fgmj3kq9gRZiMAwqwid6ly2EY2P/js0rw2hfH4mHUR9Pn+6rmfrSHaONaSQzKXZ7K/93ZYUgD9+DNby6eW0iKC7j7SvSBQmWxdfRvdq/j9KFan3R/vz1pizMUTCEFvw9Ff9XY4cf0qjzjjFZPYLH+jlMGOHmdSY5UmSMPyOgy2jExU5rpf5yCNv5dT4QQCuPHwzc4OjPuw8EEPqsxpVPlW/7z3Se/dCyOJrVfVt63x+HLhOVf/iwoe5MfYEWUA7fHtWoogSRbRDFI0XI/+FBNq9SLv7TgVl/Ovm5u1uyJQd05BFlg8Sxf4kSUSpoktGSZLpGDG7/8M+osTQslUkoojrtPX5qvPN1JzR6Ud54qFPM1k+zY1f+fc4mhNGrV7KiOpNrdiRw0wc9uzYT+hueT3nfL8R5zgzeZT3PfTbKI5D5SVctPAkBuVCOK+GGFbl3GioQL5DLQfPFb3NYrsRC+VG5ISxSvWgHUUZtk91HST7ftykq07kx0nivmcZQdNkn0YYSVqJpBAneoyOjJMx2SvCVzPPRnNemaSREUf3mLm9oon/CEtHymi219WBYPlx42tVHrn7I4zPPMaXvConjLYNQxyYsfNekrPjdp+RjDROrzzMR+59Eyv1aUqZ4+rDt2DL4erfJLmoO4yo+MI6FxJJuo1YjyxmyosVkXeKyLHs/UUi8vZNGt/eQXRVbhR52bVRZLpsqn+Zo1Yk5TqwuiAOzVca9UBWj0eijaG5keOEbz3dM9WgIaVQjNeAy94n12lOIoVfXAku/l9zUeqBX1zht9fsfyQYtdn7fEljjXUvMoJq/TZhMYaLr38+g0MXcde7fpknHv5cuPZtNS59LcSdaP6bhv+33vu7/Pndv86oPsMlC9dz7bHneKLo/CaJKIy0rm/zo+meIIqNMGuA+qWq+nh8o6qPBRXk4CDvDBZRu7V10TVqUPhIw8xdkD3Z483lxXP1b1Wm2h3i077VvDwrUNNR79Mx4hM4fYf2d5rCN82EjRumCWz9ZG/ZLJIkoW2JQuL54tWnqHo48d0ZgzqT3LLSqCHq8C1PMklDEbDaBHQFcvOHUu9iFeGS65/HQ3e9h8+87zd5wdf98+Y6pf/+hfe45J4WeOjUnXzi/j/AacXRuau4ZOFJSN7gqfW7riP9pWsbiGiPE8asFTeciFwX34jIk2g/93Y3ZqxLsCZEQrUkQ+tJXtimxV3+2SpxNIe2XrcaludPoFjHYZrKkZ6iU9QCpJkPXTUhfje+l2abFLlpG0LwZf794opmXZIaBoqbC8tQcXMON1S0VLSIi4NC/QSP6yw4q+3KWPG4pvO6sy5ctVCGr02Q8fKK+soXRy5/OpOV03zsnT/XUmci8ZiY1h6ub62O93zql/jYfb+PlZIrj9zCpYduaBNF/ht0f4/uuoitqsgWXfG7rJ7FG4D3isif4i/Dywg1JvYELjQ4ZlUmZ4ZICnl5tfV+PKdtVybxiRlehKdlUMADmUgKuejC2zoyuwRJIMm26Y65TRzJNpJJEn5C05Y64iQu1asMVsGor2BF5ErtHsqftgvjdJ7MRHxhHu8S7Yw9XAMhu5TBZpIkjOwEk2TQ5mEWj1yBXKU89sXb+Ni7fpbnvvwHG2nMhcbJqoyrJe5+8M+5++T7AeGqo89kfnD0HB6H7TybZFROY9qCyawKk4kXYFOIv9nSUpEzkYWq/pGIPA94SVj1g6p6cstGtdnYEubNZ25UGbJjJTtF2CSTNnxFbUjh2fnNHiZQTDrSIFYzRThqUsjjbG6Gk4bYlSjyz7JtGg+Kf53bBqLNwlmSdIBVjFXEOKxVjLiWpJ0LVj6I1R/EOaGuDOoEgioiLqgctSTXKTUt9SSqLxA+w48peVSiitP5SRaPXgnO8diDd3D60Xs5cvSaRMJSO84uP8IH7vhlnFYcGh7n4sUnUdo5Zp3gKY4lD683YTzxKTBrI6JzRbjg6sKPXztkxu7u54OZyCKkk78auEFVf1xErhORF6nqh7ZkVLsNzm2gWoS7OQ/Kgfb9FusORC9FXoLfSGeCB6ki1W1oSw7dQ+dBU60hJVVDms/j0zlKI/n3A5K9IgZRRRtGqWjpMKVDRLFWscZhjaMwDiPa4almQGNncc7gDIhY6tqgtQlqUyyYp+Ay3T8njBxRukgELSAdlS7D4tErOPXwp/nE+3+VF73iRxkUczzx2Be44xP/jZXxKawZ8KRLXoI1Zdr/bIgqZ/vaCdLYlFznntgsiEBR+P3XVbP7qvKtKbeAMGZynYrIf8D/ZK9U1WeIyEXAO1T1hZs+onWwo67TaKMweVh29/GZhXVPu6y5ByP7+qoozvgvvHeFr2adT+ymYXF3nB1JAojWTrXS5pPIaZkK4jp2CT8OLwnpwGFLhy3qQBKKFaUwNYVxWImEIRRSeyJQwSHUzlCrUKlhVBVUtcE546WM2ksZUkcixb8PUoZ/TxZk1ZxXK4gri8mIkkW0U1SjEQ98/r3ML17Gdde/nE/e9iZELBcfeSqHFi/HiPFh+akSefYbrrIZSfqvVtr/Jca2BNvIpEZG61Ru3wx0bRcXoI5sRqWsF6vq80Tko35s+pjIfiyIuQ5UfURfmT2GW/Xtad1E6Tt5UNQaLteo42qYmHQMahJu+DxqMzf45eni6bbObRwxZiJKFtnwJCxO2qThDaiKKzURlwlEMSjqJEkYUQpxlKamNDWFeKkjj+9wKlTG4FSYOK9PGbFUtSKiVGLROgzZxUpaYbKKQEVjh5FMzM9Vr3iRa204N/usKIcsHLmCpSce4JO3vYmFheNcevwWTNamQMUglaLOIalIxqqfi1Zl9HBdpfYG25xoJKbDb3VCWTTAbzFmJYuJiFjiQ0vkMlYLh/sfsc5hlDDivRJdd9kTrykeK6v3sYY601S1jj5DkseitYtOlOCqlPHMHtGOuYjfz7bL+S4SRSfGQQqHKRxlUVMGoiikUT0MypydUEjNwHiJwuA/E2Cilokz1GoRgTqzuKZaPhI6p9dechP19gwVr6LEgK045lYXgnj++aWdMskvOX4TR49eBw7K4WJjF8rD38tQLbx2oNKOzXCuIeFgUJRavaFWst8/SIkyqae3ltyjmJUs/j3w+8BxEfk3wGuBf7Zlo9rNyCWMPOU7zwVILKJTpIk1nla5KJB/vkFKeZrwuXoS9zjFC5I+s+2h5OHbydBpCd4OMEYprGNovQQRVQ4bZogAQ1MxZybpvYj6+pwoYiyVKrUTykAo+SUFcCJewokxGBIljXAd62Se8N9x2WuiIBCkC21d0TAmYVAeStdJE6ETSEGCCcQiIj5gi6gGuXYauwgYB9YGSaar97HnMk43wqzekN8SkVuBV+Gv/zeo6p1bOrLdjKgj5qJfekLHBLA8GjMs1iZbw+o8h6bEfZORmgVJ5OjaLqbZLSLvRJVimvHTNuu1aIjCFQT3qEMKxVjnySJKFOK8nSIjiiKoIaXUDMXnQYzVYowG745i1asiLhFggapQO1/wV0Qw1qHii++qCaQRlyAeRUk/nXY0FUWjYvd6RDuI6ipCTZtET5VqkFS8HSVJLV0JQRVq9eu7AXtr1TDZ45jVG/IU4POq+osi8hXAV4rIA3lU54FD7ULxmmkqRUYUqZ+pJxixsUdn96tdCSQjgWyyRyOltzMEMXoNQmgIheamjyOM67sBUDYQhVVMocmYGdUPCQbNUhxW6jTkBTOmwFFITSF18oSIaHBxFhiUidhk6xC8zaK03u1aS4jHMDXOCeoMarSRNCCpGw7xNryaZMiMZKGha5nU2Xem/FLTE9OaWh3RLKGGpLJMRTCMtne0fySKiFlNpm8GahF5KvArwLXAb2/ZqPYCkuW5O8nTBqG7eSaK1i5135batYN3cqMCHRUi2EW0EyS1yu2ZqRAtooj7zIght1E4G3M1QvSlUTCeKArrGBQ1Q1szbycMbUURiKIQRyk1A6mwEonCryulZmAmFNTMyYRhWAamZmgqSlMHNca7X0vjKK0/njFKUbgk0RiriHVo6UIgGKhV77nphKan91OyP3O1a1qeyGpkO1jXdR73ny37ELPaLJyqViLyTcAvqOrPR8/IgUIuZlrji8xE1SEaNfP7ZFowjnM+fsDaxk0n4idovDkzomjd+C77rBvmzHSC8OPOtskK1uRh3WrVSxlWvUHTKGVRMwg2iqGtWCjGiRD8LrwnZGAqCvx6i0MRLI6hVNSY4Ep1rLiSiVTNORQwqgsmzuLENZ6ScAJGNLhYxUd8WsWJQWtvf1A0SBE06kc4L3HBvtG5BBJ+F5VgQ17lUekiuELXI4oDgnPxhnwr8J3A14V15Trb7z/EOIsYpph0VEmBOEk/SNFCa6B2q3RccVGMbm7rVpWriJB8pdI068mxWr1Ju2u9zmMqfL5GUBcKhy0c1joGtvYEYRxzwXjpicFRSsVYC4woA/HrJLwGMOIwQBHe1wi1CHOhlmgtghjFotS2YqUuw2X2BKAq1OptGbUzQYszqNXEySn4KZJDSDpLib3SJox0jWJl83AtWr1U4iVqxZn3gNnJ4nuAv4dvMfh5Ebke+M2tG9YuREoSMyFNOzNuxpuy9ZSShlimoao7+SQ0YeApG1NanydnyToPuSbPhMaOsRahBHHeSxWKWG/MtNarBHO2Ys5W3q5gqmS8LIKascCYOogJBTUS3KgSArMMNUNx1AiiQhmMCLX4a2hVKaVmohaDYigZOX9NaieIGlQFaxxVbdLldMavV+OlIXFZxKQhuFxp4i3ieW/UEb11kdi36sT5Ylay+ALwQ6oaTUb3AD+/NUPapYjFbJwDYzP1o5mNavBGtRgEUFioWDsopyvaJsJYfVOLqs+liIE/MUgrKeGdL0SDaMem0YqnoHkvISHMmGBDCOqHD7SqmTcT5syEOZkksvBqRhOlWUjtJQVvuqQURyFKgY+VcNQMxJPKRAtGrmCiBUabAC4T1BExBpOyQT054BzWepenqiZGSCpFJIlEqqHrejCEti9ouN4xVT2VBIjXL17A8GePFK/ZSsxq4HwXkDdBmAf+ePOHs4sRfeypNkH8QJpJKM3jLKkQ1qwmBWjaAKyFbnvCQBApxTovPTflf3ddiqGISzQGFt54aKw3Kha2DurHhHk78SqG+FDuUqqw1JRSMZCaY2bMgpkwkGY2GmBOKh/mrbGWjyQPSRHsGQtmzJwZMwj7LMRLM0NbJTvJwPpAr8I4b/wUb0/xXhZtqRtMIUZv0siyQvNt8usbiUJj02XnDdFOV/8WBxSzShZzqnomvlHVMyKysEVj2hMQ1SBUTBdtfVFbAVN4t1te4TnG7res9eFfTCKrakRtqimRKjG5cF8HXVtMfILSBIdmunoc4qpbXWgkIAmShSjWaAq2slKn1y5KT2HSFzhvpwCG4nAqrGhBhWDQZItVJIRJGOpsH/6w3mZRSk0lNWKUWg1ivOHUITgVajE4xEeBGuPDqE02f8WfeFIF4/lnxNBV3XyIfEyX14aMYzxG9pv08JiVLM6KyPNU9SMAIvJ8fEuAgwNVP+EHpVeKnVktl4mf1I3BLNyhRrx9woWwxHJtqaIRhwWVkKNgvZytSFNFCwk5H+FmT2pR2E982prMhpF5UPIwcm+KcSEZzJOFU/Hh2finvhVHrYYKSyk1DkOFgnqbRI1XRSZqsaKIGkZaYIPhs30pV5PGwFTgvMIyJxN/rHA8p56A4tiscT7exNkQai0NZ2dE0QS5aej3GsaRp71HBElNVhWT6RkjYlay+AHgTSLyRfxlvgJ43ZaNajcjei5s9GBI4oR8m7RtvNdiIyFgqkix+kBpNvs05GA4tJLcf16aaDqdS0wRF0IWJKtJohNnEZ04IEGycCmc20rt4yDEMZCKGEQ1UYsNYZMOYYyhUutzQLSgxuECWVRqk5ckT0aPV8AhngBC1FUkppHzcovJgrs0RILGJUoUGII7NSPIEJ3a6uQeTjZJEkkd6fwOvcoxFRuSRUggexnwJcCNYfUnVXXvdE7ZTLQSi/xTsSnhH+s5hhu8exMStwu7yqSBvD1fvJFb3hFRTOVwmBRRGKUK/xSVNiFMG3o+hFbxzljJCu8mtROGpmJoqmC0dGmij1zhpQwMh2SFSgvGWFbcgEqj9OMlgNP1nFcrxJOAEU8ihdTJaxJJp8YEgvIqjRH1hs9ImInSMs0vTvh43rEbZJcLInHk10KabZuL0lyTGKfRo8GGZKGqtYh8q6r+LL4T2cFG7cA2lvimSE2m56b05XzKBtF7miSSE0W2CtHQzFjC01AxSmhAlB1LAmkJUDQl+FqGzKyeZrNeU1m8wtbMFT7was5MWLT+/7wZU0qFRVl2A5z4p32lhhVXogg1hmU3YNmVlCa4R53h8WrBx6+J+uQxjYTkA7hi5GeUNKw0XiMrjloMRhyFkSCh5LbJ/A2NlBEudfooqiXaXC5FGumix8yYVQ15n4j8AvA7wNm4MtowDhxiSG+Se/PPIBVDUdc8oTJPyaovrKOJEG/0aItwDnU2ZEr6jZKhNSuGE2tc5MLKKhXEKqZwFCH13ITHrLYUhaitKIfMChWWKrBPFWr9xZTzsRaM64JaDSt1wROTOVR9lmlhnM9AFW+fGJqayhgKcRi86lOoC0VzGpuOEZ8bIgRDq2mCtaKElILZXGO2yYO1oG3wbdl3QgUzSdnnvTixFmYli+eE/z+erVPglZs6mr0AVV/rENBYVRZIL8KNqAbvzZA10pQz4WNVObi8kGV8akZScSDiI0BbzYOE6e5BmomTu0s1BGFFNcaKhlMzOPHGxegBEdSrP8HLEcO9V7T0WaREb4X1tgYVTo3nGFcFqlBYm/JARJTaGmqtKNSGHJIKo94DEoO8Ymp7k4LT0FeM8Ey6RgzbNlkCGM11jfEWrbofqWSh+IhYh69jYfAVu85H7MjTAfYhZk1Rf8VWD2RPoa6DQTFY2iW7uTKXqMZtku0ielCkZQRd07iWF8ppYpx9+TcjaBHIwTRGzhxpnTYShcbYBIIwYhrvBxCsEx6TYLS0+PgGEGywXeSu1EoNI1cEjlLGrmRlXFJX1pf/iG7ZQE6VM0ys8YVyghAxZyoUKKlREW/k1KKRclyBmhoFKmN86nvhcLXxbUWCKxRL9IL6dUm0kvb8N5rZJSS5en2KeqihcS5z3pgmHcDlWai6bwrgzCpZICJfC9yMb4YMgKr++Nrf2OeoQh04I4E08haETQn/eAM3TXSiPCztnIR4h3eREYaP4iSoOI09A1jlxk1ekfA/c64Ed6O2tla8OiH4XI6JWsQpZxniRHxeSAi8Gkhj2x5TsKJlIo1Kra+xWVl0bBotyyrOqs87MV5OGVqvjhwqVhhIxdBMElVNgtu1lNpn3AaC0iC5ROZs2ZAzG0ZXFUmmpOYXIhb5jQZqr116UcWfYhY3bu3a9SkiUYRObljbBHNF7APCmCmCU0R+Ge8q/Yf4S/ctwJMu9OAi8moR+aSIfEZE/umF7m/bUYceliG6U1T9Uz/dI+FFqsWgodpzs4sYkdna51o3ZR5JGMkpt6XmizSSxWrLP430k4kkgpcwKjVUzjLWIrhAS5bdgLFaFGGiRWgSJpx1Q5bqAaeqeZaqAafHQ5YnBToxyEQwY4NUgsTCvP4yYILR81CxktylBh+k5e20PqRcRKmD2uFUGNeW2gUZJqhlvvydNCpdbqiJ55oTpzTrGwLFF0YuDa40aGFAjCcqI54MptW5jERBpgbS6Xva7WS3RzGrZPGlqvosEfm4qv4rEfl3wP++kAMHl+wvAl8J3Ad8WET+l6recSH73TGkHBEffdncLI36ELdLBXZzoojl+lKFcJqQcJfp63m8RpBU1GQSSxpPeKIWnXVTpOvaCTZIRU6NTxU3YLVmxRWUIpTWl8LzsRNegqjUslQPeGy8wOnJkJVxSTWxaBUIQsFM/CRS9TkvzgnWNCNw0VgJPpksZKtO1CYpw6mw4gpGdZQqghTgQv+RaMuppQmu6pBmiuyMXJv+ZD+P0jSVxiAGHy3q8L05rCC1DQ8HbcgjGrSnhcruA5KImJUsYrTmkohcBTwCXHmBx34R8BlV/RyAiPx34OuBvUcWdrUO4FUMbQyPrSo0/o5KxW+id2VawlkedQgp69XvoFlEY73LzFYRuCq3j/qJIykz04lgTEwJN6kEnlFlrIUvXGMqDC7FUTiVIGHYbJh+H+rESxRVkCJsMByGjmQxBR08Cfi4DUWpMTgskgyoGoymtdrUYiBaSvzxCOqcpFwZicThGgJoXYu4Luw/jy6N9gtsLB1ioIoylCcQFU8abalFUvWzpp2ANlLfPsGsZPHW0EX9p4CP4C/Br13gsa8G7s3e3we8uLuRiLye0Cqx2I3dB7q1F9fKJI03VVwZ/0eiqKaoHrlXJKbG2/BkTd3PaSZEtEuESRP79XjCoiGZbPei/mlfiUFEm1J9KsGt6fM1rPHJX4IyomRFY6iWhN4hLtTbDOpA7ZfYZV1LRUpfnm++nPgSffhpuOxKBqG+xYCqpSn4EnzBXZzGLY15JzNgigOpWN0moG2eSdeEcHxRXWXTSPk4pYGJZyCJNTlTXI20diZ1+C0F1GQVkVWR3RDCGJMgz7M1wazekH8dXr5ZRN6KTyw7dV5HPEeo6q8Cvwq+ydB2HPOc0E0nX4swNDMqxjszL+o6zbhpoy6MJ4vQVqAhjQxxhgWVZM3oQyEZOEUUMU3uRlWblEgmCrUKI1ciAqNgxCyItoVQCUsM83bCxFnG1jIpLIxt49WsoDb+mEURS/RVKUoUYD4Ef8X2Ad5ta1qSiwvFfmsVXEhZV5dmfJNlS5AwXEMaea3NVRXPFW+k7tiSfGHlQH4F/iQk1PWMRXaCgVotWb5O9IaFH8Rpp3ziDiJ6ayY6/X7b6OvrfSgiX66q783XqeoIGIXPjwDXqer5RHbej6/lGXFNWLe3UNU+onMjCQPSUyZtk9fmFPHJZpE8rG0mvPEGt9SFzMYK4gHin5ApzDtIEsmwlz+qgzShip8McbVGAcaFYjcxL6RmaHz9zKgeVGoYhuhLDe/niomf5E5YcRLK33ljgRsqdlBzaG7EYjlmzk5YMGMW7DjljAxCOHisvjVxnixWXMmKK6nUMKltqpoF4RI7aXUsW9W5bJqxs4tg+2myTzs/mxCS+cLmdfoxm+1jH5nU+Dp85tzuqPKd35+F9Yb5c8RGksU3i8i/Bf4IuBU4gXedPhV4Bd4j8sPnfFSPDwNPC1W37gf+JvBt57mvzUMsnxdR1RuzcKzuHJn7XI7l8jsfKIqQju4jiNQGiSK45VJD5SkZr/F/yzySEUYy4oEniqDzN9zWlLRLlbeNC2X0fL0J8C1TDDDSgrEUIXS7Zs5OqMoQzVkUuIkPKTWDmsFgwnwx4VAxYiAVi3YUQsnrZNicaEGBS6nsdYjfGNUFK3VB5UIrASdoHZoqpxMls0X4c47nm/8i3Z+ybcNo1k0r6BuNyLEvTKwEDoTfMXsd1M9ki9oHgVrrkoWq/pCIXAx8M95deiXe2Hkn8CtdqeNcEAoAfz/wdnwkwq+r6u3nu79NQez/kPeJLGW2KknR7lDOaAYyxj9x4n4D0agNbruwTXTH5UQR1Y2mX8YaakcmUeQh461hx82ybM4YbRkzPisMYy18sV4cczIJKolvEzCQKoRwlwxMzZIdcMYOGNnCez9sKPdPyGA1dVNUJ5yED/aqGVGy5IasOF9ir3KGWBi4Mr40QKpTkZ90fq7x3IKKnhOJ5Busdb1y6aJjpJTu5FdFRlWjWnZxIUQh/iGRJJQLQadQ9PlglkSyR/HGzAs1aE7b9x8Cf7jZ+z1v5H50yV6UxWyE0fWK5PtJN1+c/CAd/7sa8UQRg3uEjCxIEkVclyz5U8wXaKe/pOts5ySpIXE/vu6Oj56UEF4twT4RC9UsyIQF45/9lVbMM+GMG6bdGgmtDANpTJzBinK4HDFnJ5RSM2/GrUrggi/FF7NQo0RRq/H2k6BmGcAa56t9GwXrUDXk+RzJdpEtpHWaVLbVP9Mav22mxkgd42hiXxjXtHvYbOSNi5zbnGahUQI+T/KaOYLzwKAbrxAfRVES2Oi7aR9Z5aZcFlZaRCAh2CdVwopSgmlvl/I7OuSyaghRb6bR5T0xhWOrkOI7guvEqx6Kc4KxPjDLdUQVwQdKDaRmXiyCUInDqkNlnMZS4JiopRx4Q2blPIEeKVZYsGPmzZhDZsRAJhT4lPtKvSemUl/B85hdolLD2XqYyMSIz0vRKdKEz8OhkR5CnkdOFGn7qB7kUkT8iaIxNCOcdJhoqKzVl9zbypqcIQrUJ+tsMhldwJh7sogIIp9Gy3gXecHeHN2LHyP+YkRA5I/obpPmWP7zeAdn7lArSZJIUkWHKJJ0Mu23D1yQYg4kVzdoxhZ6lfi0Ch9OXTulNoZxqFthpGDOTHwNzlD1tkYpECzCQAyYGqMr6fClVoy0DBW1/HP/qF1izowZSkUZqn4DGGqWKKgwySZSoRyxy4xcwdjZRFxWFCe+qLBzochvnNBxokcPSLIZdK5NLulFDu+8btkrVL1E4TxJiNtiogjHTAbIXWTrmLV94TB4QdZdty1IortuLuNakyZjy3CVqw+talcBeW1N50KLgFxZBoKnIlXuTvkhZJJL+J+pHAi4vOJV9oRMhsv8qUmzT4EUDi3Ztil1XfDVwsWL4Kr5AQjShfdIjFzBxPhAbB+M5VCUQgwFJqjV3pbhDFRqKdQFovD7PGKWWTATLEoR1R7wpCMVp12RXKUW30/1WLGMCJytBrjapJJ6kTzUCeJ8UFZ0keaFjHMiiUiBtkJbGsnIJW2fqzHRgJnfD1tNGLsMs0oW7weeN8O6rUXuqdBNJgtoelzmoms81jR014fIPb82m7XQ2B9a34/HUVQ6JBSJIqaVRwkl3q9C+6aHZJeIxsy8pBw0+/BEka0PakjcoQsekomzWOM7iZ2u5zlilvHp6o450UAEoSw/hF4iMMZRSe1JIxhFB1IxFMcAwYZzrVSpUUbB+1JhqVVSiT7fXsAbRGs1TFz7GkVX56pK5+sgSRLNLxRsG9oih1aLgJyRo2Q5qx1rH2GjOIsr8JGW8yLyXJpb/wiwv6p7R8NViJbcEGtFXTptwi2i9yKh8/hPN6T/ni//5m0NsVtYkgLC1122v1iKL6kccdfEm19ahrEUhxAkjtRFPdgyfPcvwYhJgVkTZ5MX42R9mAXxFbTGMmZeqmB41BB3CQbHnDjvQQnH9eXylBKhEOPDqMHX5QgSiME3KqpDzfAqRogG9SA2U171MxhtvEFrXWqmvCYjjmkPB0fK8hXF96btNkCexY6117CO638jyeKrge/GB0z9TLb+CeDHLnRc54woTViz+Yyu3ngFeC/BWt2rYvf0GEQF7QbIqbt6UDugUTVyMbbWZh3qb8IYlSmNDp4mtDQ2i5SpmovQXVHbBTLJfnwjIRCxJthmaMo8KGjI2/B2PAFnMOLPJRo9R7ZkUVcYG8tEvFcjujZV/aT3uSUOI5PUhKjCMJGKuSzRuVLHSBVVk6qD25CXEtsWjrVgxTUVuKYZX321LPFJYFWm4WWXdz3EZDG/rQYDaca+TpFx1VzL+KDYR0ligL+fx+dJFqr6G8BviMg3q+qbN3ts54UYm7CV4t96rqqNAq+cI1TUBWgs7/GOjU12hSawKurLUbqINs/aSwciNCHFkSDIvptLFZqZOILIEauQuyA0uVhurgYkWBVM+3pqsJ5Gb4YLFahqtWiBL6lnvDRg8eqXwfcAsdmuChy1eLJYUcO81PhyOo4JykgtI6xXM0IKfI2ErFNPeLWa1XM+FyU0c55m6lrX05FLHkmty69jHkwVLqDUihlXXuXIf/cLjXvYjdjgnM6lBud/Aq5S1b8mIjcBL1XV/3Sh4zsv7JYfKgbo5LaTaMmOUkd0RaTQ7joZaX3hlexplSdARVtEIptoBO0a5rRNbEmAkZQ3pIGsxAW1JBgCNTfSCcRozriT2JzYqTC0yrj2tT+X6gFV6E86kCoFWJnYuDDLgamDilEDy64EJszLhIn6Qr++MZGv61ljAjF4aWTsvO2icj5t3mURnDGKU2KKehS2wvlKTga5Kkdm48ghNJ4w8dfdVIpMKhhNmt9oPyNKx2tgpuI3wBvxkZZXhfefAn7wgga2V1GFgjex6M00I2uebp5LQRrUjbr5rJE8wvukYmQqS9ov7TiAWn2Wpa5WRVJrAW1PjmjQi53NmsI82YM48ppK+tirAIY65GzUKqnsniN2HRMmwUgZQ8bz/iEjLTjl5jjtCs5oyRk34Iyb44l6jrMhanOsBaOQC1LjE8Zye0XtTGpbMFW9iOUDM7Vt1c8TthEX3KI1TcJXuGamcg1RxN9wqyXa3YB1zm9WyeJSVf1dEflRvz+tRGSfWXbOAWtd0Lwl4bRNct95VFVU8VVWGjVFgmciaBGNt26KNJHaKJpsAqWnqiYpw++bhkAUn1th4hyQplo4EgydpPoTTr0Rsc5sBrFD2ThW2BGfHYr48G2v6QRyCVJD5QzLodRApdaX5AvGVd/20LtsU15IKKOXBK+sbkY6p871TpJFEDpyosx/FhXBBG+H5AZNp8ikbYfSyv92EtMBpkXr7nOcS/vCSwjXWkReApzaslHtVaQYikACdd2EkHet5rXzqkpMJ4+xFyKx8krbup8TRXodXqYAr2xbaUhCXCiMk2Vjavof1KFAOs75mqJihFxUiQVv4j5rNQ1JOF/4Fwi5HgU2FHBQhLEWiTBizsfQVCzXJQ6DCXEVEshI8YV4RnXBuPYqiqp4NcSFyt4xxkKbc2qpFh37zSpbT4akqhDCyKOa57yEqFXjIlXnEPXnuIowtjr2YocxK1n8Y+B/AU8RkfcBlwGv3bJR7VVEC3l88jjF99WTtsvNmibEG7I7uO1OzeMyfBOhtisUaBNFfHTG/JFgrIuuRV8jVFIAqSNIFrmhc8psiglmqj43I07mWh1jfAXuQn32qLeD1KxQArDkBqxomUhiqR4wcSHASwn9S104DqHhAIksJs6mbNOogmgon0eNJ4xMuhAHpg7kERiiFemqbRUtQaNkoZmdaAq0acGYXaDQUsB69XOaS30fYNbiNx8RkZfj2xcKB7l94UaIEkXMNuw+aQobCtmYNknk/2I+R5joLfE5kx5WxRaEz10gkLRpVtsiPoFj/IJ/Knti0WAr8TYBP20tgHH+f+4MCLEQXtGQ5MkQ9ZGdon6bFVdyth7yRDXn1Y7Ku0BVxdfOoInDiFW/HZIkisqFOha1f4prbaAOpfRqCYQBUvtCO1Jndp0usXYlj/g/vs6kE03Slf+vebxKFEXyFdaG3J6iidPZZ8Qxa7j3twB/pKq3i8g/A54nIj9xYDuSzYJp4mggiqSuwNTJDiTDZ5IuHE3EYiSK7iGTKkN6UqpI444lGvUk6fQxwSyqPuoEFYOKa9QSTKioRbIfRJWkxoR2hrb1xPXl8nxLw7PVgLHzNSkmoTq3F0BiZa4Qyp15uaJ9o3ZCXRtc7YvzaiWhWrh4CSIQhB03RLEqbJtGuliVXRq9IFFiqKK+EiVEn9AlBJe9DRfTmpYUqUElkegah0YF3SeEMasa8n+p6ptE5MuBVwE/DfwHptTM7LEGrE0uUzVrSxWt1843Q/ZPucy6LxlhRPtEpy2AxAkdo+Oj/YKMcJRUK9PXx5DkfkyRomEiWaByvrmPn0+1t20gQcpoOpiN1UsPY+crXY3qkpGzjKsixW1EA2XtvERhjVIF74dfH3qFBLLQWqDy0oSpxJNE5aUJMwE70eThyVsWrrqmMNX4nLqWxWsdSgV4e4eGSlgZEUAr5qaVyZrLgiY6jvc+ZiWLeLZfC/yaqr5NRH5ii8a0PxHvsZQCL9m6db6XSRRNL1NpCMPE+rE+2cNP4Ga/uQqSG/mSp0X9hHNW0Fp9yb2wlfc++Kd+HSa58fqFJxQ1OFNjra9B0bhZJQVZLVcDlquSynlJIRbbdU6SOO+9Lc0M1lgNK8ZTVKYp8x+IwkSymPjXqYlTNDe4Zl7n4fJTvVT+oP76Iol0UsQstBMG14GmVIFI7Oo9KLslNugCMCtZ3C8iv4Lv8fGTIjJk9hiNHtFDksrhZepClym0uyqIEGG9N7hr2sd4fIaH7/4wqjXl8BCX3fASTLAd5HEG7XiOZolZqGYMlIKGDvGqBlVFjFIJOHXJ7ueMYEVwomnuGfHFccAHYo3qIi1enWg8Gd04CS9BtMnC9wMJgVeVBAlImloVlVc9TKWrCKBVIQva0ZvTyCKRVii0E6W0YAGW8Rr1Kqu6sUHl2cTd37KwnrXPo+7lbsJGiWTXq+rngb8BvBr4aVV9XESuBP6P7RjgvoDkN1KbKKakOfiGNkYyY5tmn3nJwbkJJ07ewcrZk5TDRa58+su55xNvY3TmUeYPX+InXOdJqpk0IyEqvUUYE2+TSC3/nCePGk8QsQ2BVZ85aowLHkZJQVMuZI2Oa5tsDk6NVyWCjhObGrdcvWkwYRtH4x6tmkzgvKhNMmZGo20MtoqTNLdR5OTIag/JmlCarmPdeqzRe2I7JJF+TCD2tz0AksX/AJ4P/IGqviquVNUHgAe2cmD7CpEsYF2iSJtHz0QjyXpUDoxw6vS9PPbYZwBh8ciVPPtl348OLA9+5r08ct9Huez6lzCYO5Qdq/O/O3HixwomJq8FD4DWoM7irKKF4GqDGMVEO4M1qTu6c14VqYO6kUKza+/6FMgIIzvhaChJOfQgIWM2ShJpvC4jjPjd7LrRXb+GB6RliNSs0F5LIvFl9HylMeMvTt6fNtY4yX+s+DIZprUplmzNnu55uhFZGBH5MeDpIvKPux+q6s9M+U6PLmxHj10DjfU+a3qcCv0oo8lpHn78LqpqicOHr+HmF3wX5fwRr6vXwvO/+kf5wFt+jNMnPsslT3p2Mzk6ovG09PXoERHjzR8aCwKbLGXeGWoDGEXEMDFgpMDY1ROgsU1Eo0rjh9DWcSVMXmmTWIworX3cRFwvdf5fGwkpnkM85XxSrx5csGtkUkd2nVK8RVofihcVBdRjViFEgAJNecRoQIkh/RCy+OKTYO9hI7L4m8A3hO0Ob/lo9iO6+QmprwTJo5GTRPoXRWijqFMeePRjrIxPYe2QSy+6kWc+57twA9OEcigYDEePP53HH7qLxx/8JMcuv7E1EXK3ocSmOPk4hKa8fjCO+oZG+FgDGwoGWwULapRaoJbGuyM2JJKp4GohdihbZS/JL1GdqRphm5aqUccxZ0uKq/A7T0/vrqSxFuI4JFuixJHiLTTkjLiwvba7qcdU9cKSLMYQCNA1LSzTgNZ/WOx2bEQWr1bVnwwl9H58W0a03zCtkE66sZp8DLJ/hHWurnnizAM8dvYLqDqedcO3cMnxmzC28Ma42BErlgF0ws0v/V5u/8Cv8/iDdyEKR6+4cZXtIjpXfDyCNKZqadqJxAmUE0YqyFNLWpe3J1Cjvp+HtM9F6nCMIL3kxCGKJwrXfCd1EsNvb6rwnTCJfZRmzKHxhKGFtAybanzMREoOi+ezRnyLLwfQXHs/7kwKiMmBXanAOahoSi4qvqBv9zeN2+5RqQI29mh8T/j/DVs8jv2LVk5IW3JIIoGuXjcZr3DPyQ/w6JnPMVcc5iU3/h0uv/gmbGg7JhMXMia1eRoGsfymL/vbHL70es48cg+unrSJIk7EfNJViqkVMwmv82US3JPj4H2YgIT3ZiTYFcGM4mIw4/B6HBeDmQgyDtJDNFhWgqlDE+UJKbgqqRmZVCE1zTgm+HE6mtiRqKKQmT4S2WVEBeF6ka5bvIaroj1ze5GLRNHdRnx+T9cjEnawurP93iUK2FiyuFNEPg1cJSIfz9Z7W5Xqs7ZuaLsc8aaINUHzvqXrfg+IroDM2BjvxGq8xCNnPs/Z8SMUZsiXPuXvsDi4GLW2VSlLEczEl9JPdjpCBKUKN770u7j1bf+ahz/7QY4/9aUYaxvxvjukru0ijlPw1bMs3jMSiKZpS5BtR1yXTZBMnUjxHl37QF6yPzt+XlMzpdQHcls1zvg6i63wruP4eSY9oSlgLX4/dTwHb2NIpN2sm/oayN3icSepD238mR2hoNLeJgvRDdgu1OF8O/DXu5+p6he2aFxTMWcX9ZrFW7bzkNMRXWld1G46YQzKTFRvP32iJCEOTq+c4OHTdwHC9Ze+hBsueSlFMQeqnizmsizV2IjICK40uKJpJeAG/v/K8mN89O0/ibEDLn/KS1OJvIQ4MfNHZk4cMUjJeBUECXknGVF0ClY1ky63UUBjhJTsvXaIIkPXPtFIA7RtG2gTqp6rGJp9np1blBQiQeYlCle1AJiE0v95c5483ydKFiLt3zXGaWQ2C5nUeyLO4sTK3ZwaPzTVuLIhWQCISOxvCvAZ1axJxDZiJrKILB89ELP0Kj1XFE3otj9mWK94sshzAbIbKt1UEeorY6+MHufEmU9TuRGHhpfx4uu/k8IMiJ3TpXK+MXJpkw1EhSYZTRrCwAiuEFzpb9iVpcf4yDv/LcYMuOTKWxguHG3G3HmapyHHCZ6J8s1rpjY3SqeUE0baYSCbeNy4n1zUz76fSxIpi7Ru6mR2q5bHiZ66t7UP3SKDtI+ofgRJo30S3u4Qu48lqSAvaBRhbcoTiXEoWMm8KcH+4RRGUzwpuwznTRYiUgD/N952cQ/+2l+Lr5z1hu3OPJ2JLAqLlkW44cKPvZmEEdsRTMvviLdplRFG6DgGpGSjCFXl4VN3cXZ0AmsG3HL1a7j88I3ZboNYa3xgT5cs8jaHkTDUZsQRCGG09Ci3/slP41zFoWPXcfFlT2+PI07QYAicmlMhXspohY+vAaX9eZ7MFsnEWdqqzBT1I3pDotcjVQQL4nwrQjUmzXXHlu8rFrmJNp7aTSUKL1XUWcq6W7/knI3RYPjSAzYzksQx7AOy2Mhm8VN4l+kNqnoaQESO4BPJfhr4gc0c6KagdmxZEa+YSBRFUenemZkdIz5VrCVZ4SVsY2Bp6REefPx2QHnm9a/lisM3YhxtMTcew9CSZNYM5qr909VMolzuvz83vIgvffW/5vYP/2ceO/FJAC6+tCEMEz0BnXs8D1/2ngZNB0+SeDjNlhE1uxS+cJZPO8/dlLE2aC7gpEmdSRDeppEFTSWThbQufepOtg6JxZYLSdXKi9XkUkCtDXmmmIt1HjZ5oFXtkEEZMlmzbfZBBOdGksWngadrZyMRscBdqvq0LR5fCztus4jZh6nb+jqP2KpKRAFBdDeGSieceOwOlkePMz+4iGc/9XUcnrvcT4jJlMrlIl4FsRYK0xBF3v5Q8m0bacOVJlXhit+77cO/zmMnPkkxOMQll93EcP5I417somOw9KpPa4a29fwupLF55F6KKGlE12suXSRPSIjWNFEKgBaRrJKAyNSZ+JmS3K/RU9T0Agm2hKSOEK69P1DqEXI+vUbzYjiwp+parCdZbOQ61S5RhJUhpu6AQklP+amo62SjyMnkxKlPc8+Df87K+DRHF67hy575Dzm8cLn/sFpHzDVmbaLoQKrYkzObBBluedH3cvHlN6Ou4qH7P8wTj38BJ9qU8cuXSAa5FT+J8+0Ct6uWdJ2mSA7B4yAhhiItdbRPBPVjSl0Kv6Psf77EY7rm+8lFmqS2bDcxjqIVsRn/SzBYn4dEoOq/N574ZY8QxUbYSA25Q0S+U1X/S75SRL4DuGvrhrVL0a2xqLTvZMVLFE6Tt0TVsTR5jJOnP0flVnjKNa/i2uMvpGSYJpY4t/YTOhnOAqYRRRS/wyTWwjRPUxVSIbjwlZtf8J2o1nz4T36Kx09+mjOnvsjl1z6fQsrpQwDUqa8c1XX/yXTSWvX9MMZ0uWr19TOi8JWrINDyUkwzxK6livnjhQ3TvrL/OQHG4shpv/GY2lQ765GwkRpyNfB7wDJwa1j9AmAe+EZVvX/LR5hhx9WQHN1mQ123mDU4K9z32EeZuBVKO89N130dxy+72U/qKtyIzq2OFMygg8IvM0gV4I12Wvr6nlrIalUkewqrCEtnTvDRd/8MqjXzhy7n2EU3UA7W6EyZUuzD96OLcCPE48W3GlSQqJJkMRiSqQhJjdD25/7YnUN0vtdyyyZJJkgqLqoZ6Uyyk9I94+bcCmyG6/SVwM3h7R2q+q5NHN/MmEoW3epFuwC1Vjw+eoBTk4cAeP51r+PixSch1vqnfhaqvF7Az7TYirWQd35X6wlCi8ad2uoH2pEGJpOz3PHh3+D0o/eAKnMLF3PxZc+gKIbtaxttAcEQurrg8AyIpx0IQqEVI5EmdNg2VTCPh5pGFtqoLKu9KprZLHKbRE7Qcf+C1DVM6v3Xw3RGXDBZ7Ba0yCJ3a5Wz1vDZeoyqs9y/fAeKsmgv4gVXfCNzC5c0xq5un9auapPBzQ0aW0WHKNLNnvqz+n9RqojGThe+r1ZWSRfJEBrcrK6uuO3d/4Ezp+4DdcwvHmcwOMSRi69HogQwLfhpVrIIk7flgo0ftewktCd9ZszMo03z5LFon2lJE9FNqpl3I3o8lLZKJf69jCbnRhTr/H57EbuOLETkp4CvA8bAZ4HvUdXHN/peIougU2rtvB5dTte1twTR0o20bqqxW+HE8udYcWcYmkVecvxvMF9kibrDAVqE4q8rY3RYTk8yC/vXQdFMfGiTRRCjcyu+VM5HcA5LXOFjQNQIWprQNFja6kgsQF20A8XMRKnGS9z+oTdy9okv4uoJIgZbDLno8psohvPYwXw7oKpza61lj4xeiLXUl7wYTh4Yltsuk00DbUkjrXYAUZpoSXA0pEG2Lv0PqknsQLZqcJkEm8dVRGzQ+m+vYDeSxVcB/1/obPaTAKr6f270vUQWtYM66JS2CXraFsR4BxOeKFXNo6Mv8tj4PgTDU468iBsOvwAjaxBB/B+rQ0+q9k1WWPTQAm6+XJsolJabNdk/gjFUh2UK/VZrvDs1qCFdCcMNGhuImXSetMCZU1/k4Xtv5aF7PkRd+aCiuUOXghiMtRw7fiPGFq3vwBTCiE/5znZJMskkndYOhFamatpHPtRcmiBIGS6LzIyRm614icwuknt8ur9H+H5C/P27DYZmzQ3a5biQoKwtgaq+I3v7Ac61YZERUvu/aU/nrUJ2o2mtLNWnOHH2M9Q64djgSl5w6TdQmHWknPj9wqIxX6Qs/M08nqQchDihgSZKk8yAl7lZW7o3hFL2EyhtSplGBYoYF6KZm1RSrQgTsyqTMdK/OHTkKg7dfBVPfsbXMF45xZ1/8ZusLD0CQF2NWXr8gVU2I2MKjl35DIwtGMwdxkiZFYBJl7BRNaJUYNp1QyNRtHM2wkdxlWsHbImbQhQx6CwcVFxnf63wbdN2da4lZXRhZL8U8V4Tu0HZ/17gd9b6UEReD7weoAg9Mn3I9TYPPeYIhLDi+5fvZFSfoTTzPPvy13C8uHb2fVV1u8u6CDo3hLpOVvroLs0nj4pgNKvjEEljEgLAwkSUyu9DCkWLUGPCqQ9DzgKtnBVMFmqjrXmqreNbMczPX8TzXvaP0oRdrs9w4t5b0VbpK/jiZ97Do/d9zO/HFFx1w8u8cTeSXiYWtD0W4gtqNINYVda/nSGrTRYqBNuFa5o0daMznU4lnhaM8bNiWmxEVoYvL2IEHAg365apISLyx8AVUz56g6q+JWzzBrwr9pumBX91saOu06ByqAj3j+5i5JZ44bXfxkUL1/iH9NLKuemsIujcoJ2QBl6SKC314rCRMLIgKJnU/klZOW+5d+qPHaWVsA//3/joz5hbYv37mNDmStN4FUxj04DM4LjqOoThKymprBUTIeAMVG6Z06e/yB1/9mtc/tSXUgwXs6I22mSA5rYEpR1TMu03iJcPptolUlWrqHJk59QEqXVtFjmBhNcuDihbHyN4W+H+U/axh7Ejaoiq/tX1PheR7wZeA7xqFqLYcYQEMtWasVvCSsGxhauQeMOUxcy9JQA/QZZHKdFM87gNB2Zc4YZFltotTWxA1Q7i0mGJLI+8M6EssvgBh0wUCj+zparQiUFLg1soU3UtBO9ViYbPINprHjUKLdEefNRlXnkcvLSCFcxwEVsdatsxTNiu89BuRXbG0v7xId51i+dG0EAUUmsjSbjwYVeq2AhRcswjNvNkwdi6Lf98D9y2m4ltVPgbiMirgR8B/rqqLu3EGM4LIhhTcPXCTdQ64XMn3udVh0l1bkSRo6phNEZysTcUyzXjGhNCt736k30extPCeIIsrSAroxCBmD2JJ37/PgfFYSYOM3bYUY0ZeWnF1OrXTZyvkjV2jUSTL6Gqlh3VFCs1duz8JA+fx0pWqw2F4Z9IiyByD0aSCOJxKpeuQdo2eoPiE16bamHpu0qWpdpRX9b6Hbqh3VG1iAbNrhR4wLBTNotfAIbAO8OT+QOq+vd2aCznjKFdZM4c5nOPvp8riidzeHDphe90UoUQ8ahC4G/M3IAHoVZC0xV9lWEtqEtS1ej80EsahAlaOVwI8kpEImFCjZudqJE0J/IE3hQ27bSpb+nUG08LvO4SRH07di13ZjvQqk0QKRYiSArtcnSNezQOotUGIFNl4vk3UldQqUxOFl0C0/XdnvH8oDGo7wOvx/lgp7whT914q92NqxZu5J6zn+CDJ97MX736+y58h84hkwpdIz8j9eAEKAyi9eq6kR3IpIKyQLFN1SvwKk2M9syoyASDqc9y9bq5EdOKDo1EEWM9/Eoar5QRP8hKsRPa3oucKGKiW2avSORhFGKTpMgy6g/UrYQuuWSR1k8L/Jgi5USC6E7+lAQY4FywHU3ZdqcQ1datKO60BnZEDdkPEDFcPLyaSkd88OE3b85Oo48/pGe3DHrdqM9k3whRh9NQ1ciZZWRlhIwqbxyd1Fnlpxjc5UV9KudD0Sd1Uil8MV/XSBOTsP2kbkkaZNWxYz0IX1cjZpX6AsC+mE0jmcR6lxLHFKNSnUuBZ0mNiIbeuD6QVjqwcynXJAWiFSYzpGZLRF03ZRLjBIyv4xI6qe8aogAvDW0jUcDucJ3uWRwuL2XslnlsfD/jepmBnb+wHUajpw0p6YrPGu266QA1Bon6x3o3jHN+nyJNLVAHzGUBYs61AruovYE1VvbS0PAnRY1mbkLBj09qBavBgSCtOhHpdZIe2sVlkjqTz+I8+7SmFcmZjp3HSzjnz0MklBv04e4SO4LlAVnRowHtmhNKEyzXhbUbF8HZTuzAOHrJ4gJxrLwCwfCeB3+TWjchU9E5Lyk4l6SLphx9u16k5jf9RlD1htTTS17SWKmQcVjyojtx0lUuFKwNhsZxjYxqL32sp/4EQkgGSRrVxVSuZeuQKD1UdfgfltEkLYwnKf5E6rbBNZ1XjHsIT1u/vzpIHplUlsdJ5Ev0gsRCN9NsGLuFJHYQPVlcIKwpuWbhFiod86cPvJFN8QKPxsjyOMQMNHr9qiIwBh/5eS7HDJKGefw0sjTyZFG56cukxixPMCtVqkm5bmWsODGjOhKlg6TSeGIwowqzMvHnOJr4LM+qborF1C6RFs559SxN5Lo90cM5JRWhjvupkPEk9CoVL5m1qldl59Elh3jMOJbaTQ8DP2Do1ZBNwMDOcXzuBh5a+Qynxg9ybHjlBe9TVsZJbdBUGVvak0QELaw3ZJ4rosoT7B06LJtjgHflRp29tKuNfmshGiijGzQeK0gO1OdZKyJ3a3b9oNMmcdb9qxU9mhs2Y2CVES8xTcsg3U12ih1GL1lsEhaLixiaQ3zgxP/g8dGDF75D53w16KpRR6ZOimiHuJDjBGlDlkc+TmNpxcdsrIw9IZWhDgeEpzSryCN2HJc6qC9VYweRZDR1m1NUpqtGrLfdpIKqalSXPCw7J44DHD8xK3qy2CSICFcvPIOhWeQDJ960KYQhK2Ove7sOYcQJ2xz8go81FaukmNW3SyvCM6kaIZAqGk1jstt21qLMDZVV3agvQF61fFU490YEdIDRk8UmoksYK9XpC9uhxmIs2kQ4hknrBkXztB9uYT2PFEshDUlNU0kyA2zq2dINhNquSRiDp/IQep3yeTyFMHYdT9DxpG3P6JHQk8UmQ0S4auFGQLn15B9c+A4nlbdJdI2LsV1evPG3olpY2H+Kz6gaET6V9icLq45ifSAKidmobgcMhPHaRMJY5XcN1y3mkcRzsWaVm3rHsUtUpJ4stgBGLJcOn8Tp6iTvf2jN7PvZ4BwyGrdF6Bg9WWcqwqCE4WBz63tMI6CYyZovQkMSMQpTswjP9docbDUiYaxZlSzkfFiLFEXo9bI7JuduQ08WW4Sjg8u5dPgkTk0eunDCqPLIS5dS1c248utizU3rRW9dmEMX5z15dKuQnwM0PmVbNTWCkTOPhoxP4hB5KqqeICbRRrHNRNFtWh2rWuVxFjnycnm7kSh2iQ2lJ4sthCeMJ28OYcTOXCH+QbpP6/gkj6nseFuGzg3R+aH3mpwPOk/kmO2Zlti5C5o4jBi+fS4kEYhuS0okRhtE5k5t16TojZqzoI+z2GIcHRwH4OTobt7/0O/w0stfd347MsG4mG7wDE5bKe5Nif7wHWN9eHh0Jc4KaTc4iqHXuCbd3R9QUwp8Oo5qNvE3eFrHLvP5ueaeE2ug6/ZcD86108mruqmZGlWjKEVsVGg3dknfqDnyAUAvWWwDjg6Ob45KklK+Z3DxxXJ9sfO6EZ+uPquYHbfNXbZBvTDjCjOaJMNnChevHWZppV0HApoU72nIRf9olIx2hrKAYRlUqdmGDbSTrGI0aLdexayJWFGFiT1uDzAO9tlvIzbNhhFLya2E3Im1bvgYKh1crVpar4psRBjGeJvHcADGN93Je4JK3G+Mm6iafApZGU0PcopuzKnIiCKtCmHZUULKVJ2ZEaWozYzA3I32jG1ETxbbiPMmjDAxZTzxuSCjsY+yHI191OW0Kl3xO9HIKL5KuA7KtSeuMb4uaJwUJnRvd66p/RlzJeJ4VvzxZXkEtUvFdqbt+7wmW8xIPcDi/25Bb7PYZhwdXA4IJ0d38477f4kXXfpNHBtOq2vchiytTP8gt0MEF2Grxd+kSvU0JagHOihX55NEosgNmlWNRLfjpPLSw2icPmsQXueh59nkdq5e+7FU1+24hjz/JRXfndFWsdU44MFavWSxAzg6OM4Vc0+nkHLTQsMBP4Gj6J2St3wWpnliyed6RDUiQsR3S5sfTo9FmFTImaWUN5JUjxmwUB7DSMGJM59a3zhYT/FSJBVnewu8rMKkapYDnlTWk8UOYbE8xjULt2xqLgnQTLTxJN3ksjzyr4P6Issjv21h0cX5tQ2fGpofVXXb7diFMTAoUWu8xBKewNaULAyOUbsN+ofmaehxYu4WaaLPF0noyWIH0c0lee+Dv7U5BXQi1rvJjfFGzPReVoc5z+pqjZ6W2NIgonbnFo81TfrYzo5zPdZF/0vsMCJhHCou5kz1KO/+4q/z2OiB7R2EkemvZ32aVqEdQgysClGjMp5cuISwWySMHr2BczdARLh8/ilcVF/NfUu388ETb+Ki8ipefPm5tYA9J8Rq4tMiO420CwGXxertJEgTwS2rQlPgBpBJHdyvZt/3AD0o6CWLXYSBneP6Q8/j4sG1PDb5Iu978LdZmpzaugOOJ2tX2YpqyXDgJ30eMGUNOj9A50vq+ZJ6aHEDSz0fvCHRxbofpAJr25W/DzB6sthlEBEuGl7JxYNrOV2d5D0P/RceHz24ObU9p2E09l6SkFeSR1P64KyyIY60+GxTV4beqbFlYZbCnnJV9rJhMIZ6x8zUNQPLDgZ6NWSX4qLhlRwbXM59S3fwgRO/S2nmedbFX8Vlc0/a/IMFCUMX5lL4tRamqXQ1Deq7svvmzfhcrBD4ZbJCw3uWLGSKwfeAo5csdjFEDNcs3MQVc0+ldhNuPfkWPvTwm6ncefZVXQ+qyNllH0shknUc7yC6UQG1gitiN/bQ1GdoU6f2Tam3uZPoqh17lfg2CfufLGIVqT2aBCRiWCwv5vrDz+NYeRWPju/nXV/8FT77xIdR3QKbQAyGmjYxWuX3fcex2J5ADWjp2x7qoJheKXsvIS/mE19vZw3RXYj9r4ZEPXO3dZQ6D1wydw2HB5fy8PJn+fQT7+ezT3yIpx19Kdcu3kJhBhvvYEbIpEIp2klhJpMUQs6JWQKc4ob+GseUdbM8acLC9zIOODl0sf/JYlr9h72Esmh5FgZmjmsWb2ZULfHI+F4+eeq9fPrU+zk6uIIXXfZNyGac6yg0OMoComKNDIltBldGSF0gzmGqQCy1YsYVcnZ576sgPVZh/5CFMdNddbHwyW6VKlLh2A5ieLRqU3wlw7Bc5Kr5m5m4EQ89cRePje/nHff/Ijce/XKuWbzpwiWNSZXcpADi2gliUvttZMX4RkfxKTwtA7bHvsA+IotQbrpLCOGJt+vQqjw9JWoyWuLXEoVDyndJyTWLN7NSneXR8b3cderP+NSp9zFnD3PzRa/gkrlrz3+MM/X6qKenyPfYd9g/ZLGX9EuRtYvQRMNgXkR22rmlStpe4pgrFrmq+BIm9YiHVz7LyJ3lwyd/n1KG3HLRV3J4cCkLxZEtPKke+x37hyz2CrpEkfNFVwDKa0Z2sUYMQ2mHXL14E6rKmckjnBzdw0cffSsgzJlDLBTHeNHxb9yMM+lxwNCTxXYjd+FOI4pIAHV9QXYWEeHw4FIOlZegOE6ufIFR7VWVP7rv3zMw89x49GVYKTg+fwNGzs+17Dt41chgk3uW9Nh12FGyEJEfBn4auExVT+7kWLYNrfL9a3yWBT5dKEQEwXJ8/gYAlqvTTNwyJ0f38onH3gGAlRIrJUOzwIuPvxYRg5UZbw0XalCUW9hCscfWoa4bY/oGv+GOkYWIXAt8FXDPTo1hR1A7QKYHiW1Dufn54jDzHOZIaFEwqs7yyOheFMfp6hH++Iu/DMCcPcKTDz0HACOGqxa+ZKqHRQYDz3l72T19kBGlwRlCDHZSsvhZ4EeAt+zgGHYGdZAccsLYoaSrYTCMAkzciLFbpnIjHhndy12n3hO2Uu58/M8opHnylGaeF172jV59KQFdnpqK7nQPGZ4PImIl9RmwI2QhIl8P3K+qH9uUIKK9iJncktuL0gwpzRCIhYU9JvWIR0b3oJnetFw/wZ8++EY2buihHCou2YLR9thubBlZiMgfA9PKVr8B+DG8CjLLfl4PvB6gkM0Lae4xO0o75IqFp7XW1W7C2K1RcTyDiDA0i1s1tB7bCNmyOglrHVDkmcC7gKWw6hrgi8CLVHXdqrVzdlGvWbxli0fYo8fBxYmVuzk1fmiquLjtaoiqfgI4Ht+LyN3ACw6MN6RHjz2K3jHeo0ePmbDjQVmq+uSdHkOPHj02xo6TRY8eBwLTkgX3GHo1pEeP7YAJOUF7uK5nL1n06LEdqN3urakyI3rJokeP7cIeJgroyaJHjx4zoieLHj16zISeLHr06DETerLo0eCgJvX1mAm9N6RH6OUZCgev1WCox4FHL1n0SM2O+/6e54FudfZ9jF6y6BH8/w5Yp0BwjzZiv5dYwOgAtDfsyaLHptX7PFDIiSK9p6lnuZsQW0bMWBFrLfRqSI8emwWzS1WSTVKVerLo0eO8MMUIHCflbiSMTWjT0JNFj/2FWIDW2q2dtLWbrnJMq9q+T9DbLHrsL0S373Y83GNymDWNRLFDVdq3Az1Z9Nh/2E4jY16lPfap3afY9oK9FwIROQF8YQt2fSmwV2qA7qWxwt4abz9WeJKqXjbtgz1FFlsFEfkLVX3BTo9jFuylscLeGm8/1vWxf60xPXr02FT0ZNGjR4+Z0JOFx6/u9ADOAXtprLC3xtuPdR30NosePXrMhF6y6NGjx0zoyaJHjx4z4cCThYhYEfmoiLx1p8eyHkTkWhH5ExG5Q0RuF5Ef2OkxrQcRebWIfFJEPiMi/3SnxzMrROSnROQuEfm4iPy+iBzb6TFtBBH5YRFREbl0K49z4MkC+AHgzp0exAyogB9W1ZuAlwD/QERu2uExTYWIWOAXgb8G3AR8624d6xS8E7hFVZ8FfAr40R0ez7oQkWuBrwLu2epjHWiyEJFrgK8F/uNOj2UjqOoDqvqR8Po0nuCu3tlRrYkXAZ9R1c+p6hj478DX7/CYZoKqvkNVq/D2A8A1OzmeGfCzwI8wNQ12c3GgyQL4OfyF3lPVX0TkycBzgQ/u8FDWwtXAvdn7+9i9xLYevhf43zs9iLUgIl8P3K+qH9uO4x3YRDIReQ3wsKreKiJfscPDmRkicgh4M/CDqvrETo9nL0JE/hi4YspHb1DVt4Rt3oBX/X5rO8fWxXpjBX4Mr4JsCw4sWQBfBvx1EfkaYA44IiL/VVW/Y4fHtSZEpMQTxW+p6u/t9HjWwf3Atdn7a8K6XQFV/avrfS4i3w28BniV7nAg0lpjFZFnAtcDHxNft+Ma4CMi8iJVfXArxtIHZQFBsvgnqvqaHR7KmhB/R/wG8Kiq/uAOD2ddiEiBNw6+Ck8SHwa+TVVv39GBzQAReTXwM8DLVfXETo9nVojI3cALVHXLsmYPus1iL+HLgL8FvFJE/jIsX7PTg5qGYCD8fuDteEPs7+4Fogj4BeAw8M5wjX95pwe0W9BLFj169JgJvWTRo0ePmdCTRY8ePWZCTxY9evSYCT1Z9OjRYyb0ZNGjR4+Z0JPFPoOIXCMibxGRT4vIZ0Xk/xWRQfb5fwsZlT8kIl8S3IMfFZGnnONxvltErlrn858Tkb9yIeeyWRCR14jIj+/0OPY6erLYRwiBW78H/E9VfRrwdOAQ8G/C51cAL1TVZ6nqzwLfAPwPVX2uqn72HA/33cBUshCRS4CXqOqfncPYtzKa+G3A14nIwhYeY9+jJ4v9hVcCK6r6RgBVrYEfAr43TJR3AFcHaeJfAD8I/P1QJ2NRRN4mIh8TkdtE5HUAIvJ8EflTEblVRN4uIleKyGuBFwC/FfY13xnHNwN/FN+IyD8XkQ+H/f5qIDVE5N1BAvkL4AdE5IUi8udhDB8SkcMicnN4/ZdBInpa+O53ZOt/JaTFxzoaHwn7eFe4Dgq8Gx/C3eN8oar9sk8W4B8BPztl/UeBZwFPBm7L1v9LfJg7+An+a9lnR4ES+HPgsrDudcCvh9fvxocXTxvHbwBfl72/OHv9m/GzsI9fCq8HwOfwkg/AEXzu0s8D355tMw88A/gDoAzrfwn4TuAyfLbr9VOO++3Az+/0b7SXl4OcSNajjU8A/05EfhJ4q6q+R0RuAW7Bhz4DWOCBGfZ1JZDnVbxCRH4EWAAuBm7HT3aA3wn/bwQeUNUPA2jIqBWR9wNvCLVHfk9VPy0irwKeD3w4jGseeBhfFOjPVPXzYR+PZmN4mDXUph6zoSeL/YU7gNfmK0TkCHAd8Bng+FpfVNVPicjzgK8BfiKI8L8P3K6qLz3HcSzjM3kRkTn8k/8FqnqviPzL+FnA2fV2pKq/LSIfxBcp+kMR+T582+PfUNVWFSsR+bp1djUXxtXjPNHbLPYX3gUsiMh3Qipv9++A/6yqS+t9MXg2llT1vwI/BTwP+CRwmYi8NGxTisjN4Sun8QlX03An8NTwOhLDyVCL47XTv8IngStF5IXhWIdFpBCRG4DPqeq/B96CV6feBbxWRI6HbS8WkSfhK1v9FRG5Pq7P9v904Lb1rkGP9dGTxT6CeuX8G4FvEZFP49PEV/BFUjbCM4EPichfAv8C+An1JfFeC/ykiHwM+EvgS8P2/xn45TUMnG8DviKM6XHg1/AT9e34dPVpYx/jbSI/H471TjzR/A3gtjCuW4D/oqp3AP8MeIeIfDxse6X6lPLXA78X9vE72SFeEcbV4zzRZ5322BKIyHuB1wSy2OmxXA78tqq+aqfHspfRk0WPLYGIvBhYVtWP74KxvBCYqOpf7vRY9jJ6sujRo8dM6G0WPXr0mAk9WfTo0WMm9GTRo0ePmdCTRY8ePWZCTxY9evSYCf8/rrrtL8iLvY4AAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Make a mask symmetric about the major axis.\n", "fig, ax = plt.subplots()\n", "ax.imshow(cube.data, origin='lower', extent=cube.extent)\n", "cube.plot_mask(ax=ax, r_min=2.0, r_max=4.0, PA_min=30.0, PA_max=150.0, abs_PA=True, exclude_PA=True,\n", " inc=6.5, PA=151.0, mask_frame='disk')\n", "ax.set_xlabel('Offset (arcsec)')\n", "ax.set_ylabel('Offset (arcsec)')" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Offset (arcsec)')" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Make a mask symmetric about the minor axis.\n", "fig, ax = plt.subplots()\n", "ax.imshow(cube.data, origin='lower', extent=cube.extent)\n", "cube.plot_mask(ax=ax, r_min=2.0, r_max=4.0, PA_min=60.0, PA_max=120.0, abs_PA=True, exclude_PA=False,\n", " inc=6.5, PA=151.0, mask_frame='disk')\n", "ax.set_xlabel('Offset (arcsec)')\n", "ax.set_ylabel('Offset (arcsec)')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## User-Defined Masks\n", "\n", "If you want something more complex, you can input the mask yourself. For example if you want to generate a mask based on the emission morphology or some more complex function. Most functions will take directly a `mask` value which should have the same shape as the data, either a channel for an imagecube or the moment map size." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Offset (arcsec)')" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Make a mask based on the emission morphology.\n", "fig, ax = plt.subplots()\n", "ax.imshow(cube.data, origin='lower', extent=cube.extent)\n", "\n", "# Make a mask based on the maximum value of the imagecube.\n", "mask = cube.data > 0.1 * np.max(cube.data)\n", "\n", "cube.plot_mask(ax=ax, mask=mask)\n", "ax.set_xlabel('Offset (arcsec)')\n", "ax.set_ylabel('Offset (arcsec)')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Usage with Other Functions\n", "\n", "Once we have a mask you're happy with, you can use it with most `GoFish` functions. Below we demonstrate how this affects the radial profile function." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "WARNING: Attached data is not 3D, so shifting cannot be applied.\n", "\t Reverting to standard azimuthal averaging; will ignore `unit` argument.\n", "WARNING: Attached data is not 3D, so shifting cannot be applied.\n", "\t Reverting to standard azimuthal averaging; will ignore `unit` argument.\n", "WARNING: Attached data is not 3D, so shifting cannot be applied.\n", "\t Reverting to standard azimuthal averaging; will ignore `unit` argument.\n" ] }, { "data": { "text/plain": [ "Text(0, 0.5, 'Integrated Flux (Jy/beam km/s)')" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "# radial profile from the full azimuth.\n", "x, y, dy = cube.radial_profile(inc=6.5, PA=151.0)\n", "ax.errorbar(x, y, dy, capsize=1.5, capthick=1.5, label='full')\n", "\n", "# radial profile from the major axis.\n", "x, y, dy = cube.radial_profile(inc=6.5, PA=151.0, PA_min=20.0, \n", " PA_max=160.0, abs_PA=True, exclude_PA=True)\n", "ax.errorbar(x, y, dy, capsize=1.5, capthick=1.5, label='major')\n", "\n", "# radial profile from the minor axis.\n", "x, y, dy = cube.radial_profile(inc=6.5, PA=151.0, PA_min=70.0, \n", " PA_max=110.0, abs_PA=True, exclude_PA=False)\n", "ax.errorbar(x, y, dy, capsize=1.5, capthick=1.5, label='minor')\n", "\n", "ax.legend()\n", "ax.set_xlabel('Radius (arcsec)')\n", "ax.set_ylabel('Integrated Flux (Jy/beam km/s)')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Note:** If there is a function which does not accept these mask parameters and you think it should, please [raise an issue on GitHub](https://github.com/richteague/gofish/issues)." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.12" } }, "nbformat": 4, "nbformat_minor": 2 }