{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 3D PM Example" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import numpy as np\n", "import warnings\n", "warnings.filterwarnings('ignore')\n", "import plotly.graph_objects as go" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# import sys\n", "# sys.path.append(\"../../src/\")" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "%load_ext autoreload\n", "%autoreload 2\n", "\n", "from qeview.qe_analyse_PM import qe_analyse_PM\n", "import qeview.wannier_loader as wnldr \n" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "Ang2Bohr = 1.8897259886\n", "Bohr2Ang = 1./Ang2Bohr\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## QE Analysis" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Unit Cell Volume: 64.1334 (Ang^3)\n", "alat 6.4228\n", "Reciprocal-Space Vectors cart (Ang^-1)\n", "[[ 1.8467691455 -1.0662326633 0.327370275 ]\n", " [ 0. 2.1324653265 0.327370275 ]\n", " [-1.8467691455 -1.0662326633 0.327370275 ]]\n", "Reciprocal-Space Vectors cart (2 pi / alat)\n", "[[ 1.8877963546 -1.0899197335 0.3346430242]\n", " [ 0. 2.179839467 0.3346430242]\n", " [-1.8877963546 -1.0899197335 0.3346430242]]\n", "Real-Space Vectors cart (Ang)\n", "[[ 1.7011290563 -0.9821473186 6.3976336955]\n", " [ 0. 1.9642946371 6.3976336955]\n", " [-1.7011290563 -0.9821473186 6.3976336955]]\n", "Real-Space Vectors cart (alat)\n", "[[ 0.264859077 -0.1529164594 0.9960863047]\n", " [ 0. 0.3058329188 0.9960863047]\n", " [-0.264859077 -0.1529164594 0.9960863047]]\n", "\n", "\n", " positions cart (alat)\n", "['Fe', 'Cl', 'Cl']\n", "[[-0. -0. -0. ]\n", " [ 0. -0. 2.1814001212]\n", " [ 0. -0. 0.8068587928]]\n", "positions (frac or crystal)\n", "[[-0. -0. 0. ]\n", " [ 0.7299903335 0.7299903335 0.7299903335]\n", " [ 0.2700096665 0.2700096665 0.2700096665]]\n", "positions (AA)\n", "[[-0. -0. -0. ]\n", " [ 0. -0. 14.0106322646]\n", " [ 0. -0. 5.1822688218]]\n" ] } ], "source": [ "calc = qe_analyse_PM('./', 'FeCl23D')" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "calc.get_band_structure(bands_filename='bands.dat.gnu', qe_dir='qe')\n", "calc.get_sym_points(filename='band.in', qe_dir='qe')" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "G 0.00000000 0.00000000 0.00000000 0.00000000\n", ". 0.05000000 0.05000000 0.05000000 0.05019645\n", ". 0.10000000 0.10000000 0.10000000 0.10039291\n", ". 0.15000000 0.15000000 0.15000000 0.15058936\n", ". 0.20000000 0.20000000 0.20000000 0.20078581\n", ". 0.25000000 0.25000000 0.25000000 0.25098227\n", ". 0.30000000 0.30000000 0.30000000 0.30117872\n", ". 0.35000000 0.35000000 0.35000000 0.35137518\n", ". 0.40000000 0.40000000 0.40000000 0.40157163\n", ". 0.45000000 0.45000000 0.45000000 0.45176808\n", "T 0.50000000 0.50000000 0.50000000 0.50196454\n", ". 0.51324731 0.48675269 0.50000000 0.55198097\n", ". 0.52649461 0.47350539 0.50000000 0.60199741\n", ". 0.53974192 0.46025808 0.50000000 0.65201385\n", ". 0.55298923 0.44701077 0.50000000 0.70203028\n", ". 0.56623654 0.43376346 0.50000000 0.75204672\n", ". 0.57948384 0.42051616 0.50000000 0.80206316\n", ". 0.59273115 0.40726885 0.50000000 0.85207959\n", ". 0.60597846 0.39402154 0.50000000 0.90209603\n", ". 0.61922577 0.38077423 0.50000000 0.95211247\n", ". 0.63247307 0.36752693 0.50000000 1.00212890\n", ". 0.64572038 0.35427962 0.50000000 1.05214534\n", ". 0.65896769 0.34103231 0.50000000 1.10216178\n", ". 0.67221499 0.32778501 0.50000000 1.15217821\n", ". 0.68546230 0.31453770 0.50000000 1.20219465\n", ". 0.69870961 0.30129039 0.50000000 1.25221109\n", ". 0.71195692 0.28804308 0.50000000 1.30222752\n", ". 0.72520422 0.27479578 0.50000000 1.35224396\n", ". 0.73845153 0.26154847 0.50000000 1.40226040\n", ". 0.75169884 0.24830116 0.50000000 1.45227684\n", ". 0.76494615 0.23505385 0.50000000 1.50229327\n", ". 0.77819345 0.22180655 0.50000000 1.55230971\n", ". 0.79144076 0.20855924 0.50000000 1.60232615\n", ". 0.80468807 0.19531193 0.50000000 1.65234258\n", "H2 0.81793537 0.18206463 0.50000000 1.70235902\n", ". 0.76494615 0.12137642 0.44701077 1.76060311\n", ". 0.71195692 0.06068821 0.39402154 1.81884721\n", ". 0.65896769 0.00000000 0.34103231 1.87709130\n", ". 0.60597846 -0.06068821 0.28804308 1.93533540\n", ". 0.55298923 -0.12137642 0.23505385 1.99357949\n", "H0 0.50000000 -0.18206463 0.18206463 2.05182359\n", ". 0.50000000 -0.16805965 0.16805965 2.10470065\n", ". 0.50000000 -0.15405468 0.15405468 2.15757772\n", ". 0.50000000 -0.14004971 0.14004971 2.21045479\n", ". 0.50000000 -0.12604474 0.12604474 2.26333185\n", ". 0.50000000 -0.11203977 0.11203977 2.31620892\n", ". 0.50000000 -0.09803480 0.09803480 2.36908599\n", ". 0.50000000 -0.08402983 0.08402983 2.42196306\n", ". 0.50000000 -0.07002486 0.07002486 2.47484012\n", ". 0.50000000 -0.05601988 0.05601988 2.52771719\n", ". 0.50000000 -0.04201491 0.04201491 2.58059426\n", ". 0.50000000 -0.02800994 0.02800994 2.63347132\n", ". 0.50000000 -0.01400497 0.01400497 2.68634839\n", "L 0.50000000 0.00000000 0.00000000 2.73922546\n", ". 0.47727273 0.00000000 0.00000000 2.78934765\n", ". 0.45454545 0.00000000 0.00000000 2.83946985\n", ". 0.43181818 0.00000000 0.00000000 2.88959205\n", ". 0.40909091 0.00000000 0.00000000 2.93971424\n", ". 0.38636364 0.00000000 0.00000000 2.98983644\n", ". 0.36363636 0.00000000 0.00000000 3.03995863\n", ". 0.34090909 0.00000000 0.00000000 3.09008083\n", ". 0.31818182 0.00000000 0.00000000 3.14020303\n", ". 0.29545455 0.00000000 0.00000000 3.19032522\n", ". 0.27272727 0.00000000 0.00000000 3.24044742\n", ". 0.25000000 0.00000000 0.00000000 3.29056961\n", ". 0.22727273 0.00000000 0.00000000 3.34069181\n", ". 0.20454545 0.00000000 0.00000000 3.39081401\n", ". 0.18181818 0.00000000 0.00000000 3.44093620\n", ". 0.15909091 0.00000000 0.00000000 3.49105840\n", ". 0.13636364 0.00000000 0.00000000 3.54118059\n", ". 0.11363636 0.00000000 0.00000000 3.59130279\n", ". 0.09090909 0.00000000 0.00000000 3.64142499\n", ". 0.06818182 0.00000000 0.00000000 3.69154718\n", ". 0.04545455 0.00000000 0.00000000 3.74166938\n", ". 0.02272727 0.00000000 0.00000000 3.79179157\n", "G 0.00000000 0.00000000 0.00000000 3.84191377\n", ". 0.01364129 -0.01364129 0.00000000 3.89341773\n", ". 0.02728259 -0.02728259 0.00000000 3.94492170\n", ". 0.04092388 -0.04092388 0.00000000 3.99642566\n", ". 0.05456517 -0.05456517 0.00000000 4.04792963\n", ". 0.06820646 -0.06820646 0.00000000 4.09943359\n", ". 0.08184776 -0.08184776 0.00000000 4.15093756\n", ". 0.09548905 -0.09548905 0.00000000 4.20244152\n", ". 0.10913034 -0.10913034 0.00000000 4.25394549\n", ". 0.12277163 -0.12277163 0.00000000 4.30544945\n", ". 0.13641293 -0.13641293 0.00000000 4.35695342\n", ". 0.15005422 -0.15005422 0.00000000 4.40845738\n", ". 0.16369551 -0.16369551 0.00000000 4.45996134\n", ". 0.17733680 -0.17733680 0.00000000 4.51146531\n", ". 0.19097810 -0.19097810 0.00000000 4.56296927\n", ". 0.20461939 -0.20461939 0.00000000 4.61447324\n", ". 0.21826068 -0.21826068 0.00000000 4.66597720\n", ". 0.23190197 -0.23190197 0.00000000 4.71748117\n", ". 0.24554327 -0.24554327 0.00000000 4.76898513\n", ". 0.25918456 -0.25918456 0.00000000 4.82048910\n", ". 0.27282585 -0.27282585 0.00000000 4.87199306\n", ". 0.28646714 -0.28646714 0.00000000 4.92349703\n", ". 0.30010844 -0.30010844 0.00000000 4.97500099\n", ". 0.31374973 -0.31374973 0.00000000 5.02650495\n", ". 0.32739102 -0.32739102 0.00000000 5.07800892\n", "S0 0.34103231 -0.34103231 0.00000000 5.12951288\n", ". 0.39402154 -0.28419359 0.05683872 5.18591443\n", ". 0.44701077 -0.22735488 0.11367744 5.24231597\n", ". 0.50000000 -0.17051616 0.17051616 5.29871752\n", ". 0.55298923 -0.11367744 0.22735488 5.35511907\n", ". 0.60597846 -0.05683872 0.28419359 5.41152061\n", "S2 0.65896769 0.00000000 0.34103231 5.46792216\n", ". 0.64572038 0.00000000 0.35427962 5.51793859\n", ". 0.63247307 0.00000000 0.36752693 5.56795503\n", ". 0.61922577 0.00000000 0.38077423 5.61797147\n", ". 0.60597846 0.00000000 0.39402154 5.66798790\n", ". 0.59273115 0.00000000 0.40726885 5.71800434\n", ". 0.57948384 0.00000000 0.42051616 5.76802078\n", ". 0.56623654 0.00000000 0.43376346 5.81803721\n", ". 0.55298923 0.00000000 0.44701077 5.86805365\n", ". 0.53974192 0.00000000 0.46025808 5.91807009\n", ". 0.52649461 0.00000000 0.47350539 5.96808652\n", ". 0.51324731 0.00000000 0.48675269 6.01810296\n", "F 0.50000000 0.00000000 0.50000000 6.06811940\n" ] } ], "source": [ "_,_ = calc.get_qe_kpathBS(filename=\"kpath_qe2.dat\", saveQ=True, points_per_unit=20)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Energies and DOS were not initialized. I run get_full_DOS\n", "efermi 6.93\n" ] }, { "data": { "image/png": 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kNWrxU59hbjcHavmKCFRSYmyNGhB7wpDrNWqyrD6WTmcCnvpkjFmNAzWmz0lN2YGEjJoIZ2Q4UMtf6WbUwrs+c9WZIDz1GUVr1yc54XPCGCsYHKgxfU7u9Rm+mDcT5DXDu3Zt7kwQmfokitn1GV1HTbhcnFFjjFmKAzWmz4l11Hjqs6CIkhIIM3XUwt0pQp0JcraZIFxHTaeFFHEdNcaYxThQY/rCOy2dvJnA7eYsRh4zXUctLHrqMwfvTaFRniOybi1yJQes5WSMFRQO1Ji+UB01kiT7MwXJMmoul/HyDsx5jNZRAzTrqOUqoxaZ+ox6D3IdNcZYtnGgxlJzyq5PhMofxHO7eY1aHoqs8zLb6zMstOszZ2vUQtkzilqHJriOGmMsyzhQY/qiy3PYPfUZtZiciPZlNXiNWn4zuv6RCBT6LxB63dvaQGVlOcuokdut7uwMv9+4hRRjLMs4UGP6ojcTOOEAlGTqkwO1PGbmvRW967O0FNLevWqglgMUCKhjjZ7ejCt465jPCWOsYHCgxnQJJwVqybImnFHLX+H3l5H3VlxTdvJ61d9LS2NLZmRLeONAdAkORYnpVkC8Ro0xZjEO1Ji+cAsppwRq0S18wgds7vWZv4RQ319Gg6zoXp+hQC1nU5+hac6YlmVxgRrXUWOMWY0DNaYvOoth9xq1+HGE/ivcbii8mSB/GT0JiH//lZaqF+coUBN+P8jjic2ohU9kwpxwQsMYKygcqDF9oakpRzSbTtaZwO3m8hx5TEiSsbZLcZ0JwoEaystzU/C2s1PN4kXv+gyVr4ngXZ+MMYtxoMb0RbeQcuoBiDcT5CVSlH3T2WamPsPXDReazdFmAvh8anAYveszPnjkjBpjzGIcqDF94QOpExZJcwupwhIubZHu1Gf44vJyiwemTXR1gbzemDpq8esmiQM1xpjFOFBj+kLBkXBSr8+wqM0EHKjloUBAbcguhPGuFxoFj0VVlcUD00adnWpGLb48R1xGzfYOHoyxgsKBGtMXPhA5JVMQfVAkghACgjsT5CUKt38yUfAWQOQ94Ha70bR1K1zRdcyyKZRRC69RixRdjp/6tDvzzBgrKByoMX1O20yQbOqTD475x+9XM2ompj7jW4iVVFZmaXAaDx/KqMWUg4kvGRPaTJD1mm6MsaLBgRrTRU7OqIUQN2XPT4GAGmSbOQnQ6vWaI6Kry9DUpyM+J4yxgsGBGtPnpF6fSN6Undeo5aFAQK1LZnbq0673oc8XqaOmu+uTs7uMMQtxoMb0RXcmsDtQ412fBYX8fsDtNrdT0saMGgWDECUlCQVvEwI1uz8njLGCwoEa0xdasO+YKZ3wTk8ihA+HZLCOmhIIQO7qyuLgmBkivOsTyKg8R64IRQHFt5DS2onMgRpjzEIcqDF9Tpr6jD8ohoiSkn1TUToCf/gD6OyzszEylo7QGjXhchnvTADYl1WT5X3rNcMZtfBnA+Ff7cv4McYKEwdqTF9UZwJH1IfSCBjJ7YYwUJ5D7NgBsW1btkbGTKJw70wT04VCSvzKyllwFC7Qm2qXMQdrjDELcaDG9EV1JiC7F0knO5gbbSEVv0OP2Utj1ycRIbBrl/b17d5MEA7UoteoMcZYlnGgxvRFZdQcsUZNi9HNBByoOUsgkFDwtmvrVpT07p38NuGMqh3BGpG64zMuUOPpTsZYNjk6UAsGg/jtb3+LwYMHo6ysDEOGDMG9994LxakBQyFy4hq1dAvexhcnZbYSgYDa/itqWp30NntEr1Gz470YDBrre0vEBW8ZY5Zx2z0APffffz+efPJJvPjiixgxYgQWL16Myy67DDU1Nbj++uvtHl5xcFDBW6FRmR6AGqgZaSGVZDMCswf5/YDHE9v1Qi8zGn797QrUZFktJWJ0qp0xxizg6EDt888/x5QpU3DGGWcAAAYNGoRXXnkFixcvtnlkRSS6jpoTMplaB+mSEuNTn5xRc45wRi30mhIRvOedp38bIUCSBFvCbVmGcLt5jRpjLKccfdSaMGECPvzwQ6xevRoA8NVXX2HhwoWYPHly0tv4fD60tLTE/LAMhIIiR/X6jCKEMD71qShqRoQ5Q/QaNUWBoihwffNN8uvbPfUZmjqPX6PGGGPZ5OiM2i233ILm5mYMGzYMLpcLsixjxowZuOCCC5LeZubMmbjnnntyOMoC56Q1aoB2r09JMtbrk6c+HUUEg/syamY6E9g49cm7Phljuebo9MLcuXPx0ksv4eWXX8bSpUvx4osv4sEHH8SLL76Y9Da33XYbmpubIz+bNm3K4YgLkJN2fYanYeMP0i6XsbHx1KejkM8HJKmjprkY3+aMmoheo6Yo6hjjxsE7QBljVnN0Ru3//b//h1tvvRU//elPAQCHHHIIGhoaMHPmTFxyySWat/F6vfB6vbkcZmGLDtRszqhRsoxYaBcehdtdJcPlOZwlEADKy9XpxHDgoyc6UNMIzFO+/plSlEh5DvL7k1/PCZlnxljBcHR6oaOjA1JcBsTlcnF5jlyLb5tj91jiGZ2K4qlPZwmtURPpNGW3a+pTkiCMZnAZY8wCjs6onXXWWZgxYwYGDBiAESNGYNmyZZg1axYuv/xyu4dWPEILqIUk2V8bKlkdNTNTnxyoOUdo16fmdLaW8HUkCSLH70UiilmjJnRODDRLyDDGWJocHaj95S9/we9+9ztce+212LFjB/r27YurrroKd955p91DKx6h4Iic0uszJCZoNHhgFLxGzVHCddSM9pGNTH3bvJmAJCll3T7bT2oYYwXD0YFaVVUVHnnkETzyyCN2D6V4RR8c7Q7UkmTEDK9L4s4EjiKCwYRen7r0NhPkKjCSJHXMeh0UGGPMQnzUYrpEODhyQqCWbOrTKEXhaSknCQYTen3qsjujFsblORhjOcSBGtNF0S2knDCdk0mgxRk1ZwnXUQttJjA0XWhzoCaE4BZSjLGc4qMW00cEApxVRy3Z31IdvHmNmqNQIKAGPeFsrcHyHCQExK5dORhhkmFIEihJoMZ11BhjVuOjFtPnpIK3gLqxId1xcKDmLLIMEZ76DP2ekhBwr10L95o1CZfnijDasowxxizg6M0EzAGI1NIcdq8LCo0lI1yew1FEMKj2zQyfBASD8B9/PERnp/YXU/j1t+GEIaYLQVw5GM6iMcayiQM1ps+BGbW0caDmLMHgvqlPWQYFg1C6d4dUVqZ9fYcULKYUddQYY8xKPA/E9IXrqIUOpraPJfq/IVyeIz9RqDxHZN1huFyHnvBmAjul2vVpZL0kY4wZxEctpi/cmcAp63LiDtKmpp0ckpFhIbKsBmZRU5+UKlAD7H8NedcnYyyHOFBj+sLBjVP6GyY5SBvKX/BmAkdJKHgbbtGkg5Jl1HKYwaJUGTW7A0nGWEHhoxbT56Q1aikK3qacbuKpT2cJB2qhGn2Rch3JOGA6UYQ+C8nKczDGmNX4qMX0hWuXOTyjZoheHTaWe1FTnyKUUSOdQE1EdyaIvjzHr6lwuyMFeu0PHRljhY4DNaYvFJyREPbvdLOghRRPSzkDEalr0qIL3hrcTGBXsB1517ndST8LXKqDMWY1DtSYPietUYvKiEXXtTJ8cOQ1as4SN/UpUmTUYpqyx8tygBQ9rU6SxJsJGGM5w3XUmL7oNWp2Z9SAzOuocaDmGCIYVDsThE4CKBBInVED7M+KclN2xlgO8VGL6YvLqNlaHyrDqU/BU5/OEl3wNvS7bnkOB2wmAGCojhpjjFmFAzWWmtMyaunu+gwEgJKSLAyKmUVa05jBoH7GM7xr1+5g28AyAC54yxizCgdqTF/01KfdB5/wgVpR0htLMAjiQM2xUk59OiAjKoQwtkbN7s8KY6xgcKDG9DklixEWDhjTqYnm93NGzUnigxlFSb2ZIHzSkOq+skiUlOhnl51Qc5AxVjA4UGP6HNR2SYTbWRGllV0Rfj/g8WRpdCwjRBBG1qjZVZojOhCMW6MWv+uYOFBjjFmIAzWmL3RwdER9KCI14xKa+iQTGbVI3S7OqDlH/PsqvLkgGZ3sLiGH68JSBWJOKGXDGCsYHKgxXcJBGTUAsWvUQuMyHEQaLf/A7JGi4C3JsiPei3oZMxHunOCEjTeMsYLAgRrTRQ5YwB0RvZkgNC5TmT6nPA+m2X6JAoGUU59Jm7LnUrjlVTKcUWOMWYgDNaZPUZzVHzN8EDRZvJbLJeQBWU499SmEdn/NXL5HU5Wq4TVqjDELcaDG9EUHOA4oeEvRGbXoQI0o9djCPSWZI4lgUH/dod6uzxwRBoo/kySBuMUUY8wiHKgxfUQQTmm7FJr6JFlWMxpmx5VJQ3eWfamasoen4e3O8PJmAsZYDjnkCMwcK3ozgd0HSOxbyE3xDbwdMDZmXHD7drgaGmLWGFIgYKyOmt2vdXR5Dq3AnzO3jDELcaDG9Dlp12d0r0+NqU/9m2bWJ5RZSzzwANzffaf+f/j9Jcv6GTW766hFt73SaoEV5pR2a4yxglCwgdpjjz2G4cOHY9y4cXYPJb+l0wEgm6I3E8QfJI0EYRyoOQJpFB4WqaY+9bpkZPt1jb7/VMEiT30yxizkoCOwtaZNm4aVK1di0aJFdg8lvzms4G2khVTUGrXoBd7Jb0r77oPZTyNQMzz1aQeNXcZ6mwk4o8YYs0rBBmrMQk4I0oDYzgSKElPKgeLa+mje3CnPg2m38nLw1GfKPqTRuDwHY8xCHKgxfU5aowbsKzaqKLGlHFIcHCnUlcBBz6Sohac+41tI6QVDtnbJCGVwhZHsMgdqjDELcaDG9EUdHHPaTzHZWJLVUUtVu6qzE1RezlOfTuH1Jl4WDELo9WLV60yQ7QBOpxxMQuAWLiHDGGMW4MaHTF/Uon1hc5BDQEILqYhUa9Ta24HS0qyPkRkUN/VJgJpRM1Lw1g5xU+26XC79FlOMMWYCZ9SYPo2ejLYJdyaI20wApF7ATZ2doLIyzqg5hNauT8MFb+New1xsdKFg0HAnDL2m7YwxZhYHakxX9LogRyzGj86oRWc4UmwmEH4/yOvlQM0p0gnU7MyohU8SNC5PIATv+mSMWYYDNabPSZsJ4taoxRw4U1SDp85ODtQcRHK70XL33dqbCZJlq+ye+jRaT5DrqDHGLMSBGtPntDpqLpe6UDv+wJmqPIfPp72AndmnV6/Y31NsJiC9YCnbAbhW4JUscOSpT8aYhUwHakuXLsU333wT+f1///d/cc455+D222+H3++3dHDMAZyUUQP21VGT5Zhxpayj1tUFhTNqjiEUJXEqPb5/azw7m7JrdOigZDtBueAtY8xCpgO1q666CqtXrwYArFu3Dj/96U9RXl6Of/zjH7j55pstHyCzmYNaSEXWy2mtUUuVxQhn1DhQcwatE4BQrTujt8lpqRitlmWyrLlujXjqkzFmIdNH4NWrV2PUqFEAgH/84x847rjj8PLLL+OFF17A66+/bvX4mM0o7gBlax01QLeOWspdnzz16RzRZV+imrKnqqOmteszJ6JOWCLjTVayQwj9mn6MMWaC6UCNiKCEzhY/+OADTJ48GQDQv39/7Nq1y9rRMWdwytRndK9PjTVqugdHnw9UWsoZNafQyKiJJBmqmNvYlN2luKl2AJFgM2H9ZkmJmh1kjDELmP7WGzt2LP7whz/gr3/9Kz799FOcccYZAID169ejrq7O8gEymzlpjVpoM0F4jVp8CyndgrxcnsNZtIIuo3XUtGT7PapVniPJGjUqKYHgjBpjzCKmA7VHHnkES5cuxXXXXYc77rgDQ4cOBQC89tprGD9+vOUDZDYjgnDIGjUgqphoXEYt1WYC6uzkjJqDaGaoMmzKntVp+fglAAg9B62pz5ISgDdWMcYsYrqF1KGHHhqz6zPsT3/6E1xGW6yw/JFsescOKXp96i3gFlyew1nC2dFogYD+rk+bC95qTX1qbiYoKQFxoMYYs0haqZK9e/fi2WefxW233YampiYAwMqVK7Fjxw5LB8ccwEktpAD14K61Ro03E+SXJLsoU2bUJMmeYE1rvMnquvEaNcaYhUxn1L7++mucdNJJ6NatGzZs2IArr7wSPXr0wJtvvomGhgbMmTMnG+NkNhFOW6MWypwl1LAy0kKqe3ee+nQKrc0Eafb6jNxfNmmtqdOavkVojRoHaowxi5jOqE2fPh2XXXYZ1qxZg9LS0sjlp59+OhYsWGDp4JgDRB9QdRpR52osJEkQiqIWTI2aJktZu8rnA6Ler8xmyTYT5NHUp+4aNQ7UGGMWMR2oLVq0CFdddVXC5fvttx8aGxstGRRzkOgDVIp+mjkRXZ4j+sCZauqzq4t3fTqJ1lRiqnWERIndDHJEJKujpjX16fGAfL4cjo4xVshMB2qlpaVoaWlJuHzVqlXo3bu3JYNiDhJ1gLK94nqKzQSkN/UZzqhxoOYMWtkxIgiHZtRIo8abSLKZgDNqjDErmQ7UpkyZgnvvvReB0BeREAIbN27Erbfeih/96EeWD5DZLPrg6IQehuGm7PFr1Ay0kKKysuyPjxmTTvFavTpq2ZZk12eyOmocqDHGrGI6UHvwwQexc+dO1NbWorOzE8cffzyGDh2KqqoqzJgxIxtjZHYKHaCEEPYHauGpr2S9PpOMjYj2leewe+qWqdIJusLBktbtsh3Amdz1yeU5GGNWMb3rs7q6GgsXLsRHH32EpUuXQlEUjBkzBieffHI2xsfsFp1JsHvqM3oMoWmn8KGTwmU7kuGpT2fRqvQPpK7XZ1evT41AjYLBpGvUeNcnY8wqpgO1OXPm4Pzzz8eJJ56IE088MXK53+/Hq6++iosvvtjSATKbOW3qM3qNWvSBUwgInYwafD7eTOAk8QG/kfVnyTJYuaA1VZusKbvbzVOfjDHLmP7Wu+yyy9Dc3JxweWtrKy677DJLBsUcJnQApfD6MLvE9fpMqKOm15nA7wc8nhwMkhkSFZhFsmgpgmgKBee2hNoaJwZJOxM4IfPMGCsYpgM1ItKcnti8eTNqamosGRRzkOgDlAMyaumsUYu5DmfUnCGu3AWVlgJ+v/7Up17WLdcFb7VKxIQ5oYwNY6xgGJ76HD16NERoUflJJ50Ed1QFcVmWsX79epx22mlZGSSzUfzUpxPKcyCUXTGYUaPoNlgcqDlDXNBFFRUQW7aYuk1OmVmjZvfnhDFWUAwHaueccw4AYPny5Tj11FNRWVkZ+ZvH48GgQYO4PEeBISLHrVETbjcQ7kwQvZnAyNic0gqLJaw3U6qqIFpbdW8itNaJ5QhFTXOGs36CSLuJPAdqjDELGQ7U7rrrLgDAoEGDcP7558e0j8qmLVu24JZbbsF7772Hzs5OHHjggXjuuedw+OGH5+TxGWLWqDkioxZeoxa3ZijZ+rlw2yvBU5+OQXEZKqqogGhr079RkqnGlDtFrWCmPAdPfTLGLGR61+cll1ySjXFo2rNnD4455hiccMIJeO+991BbW4u1a9eiW7duORsDi2J3Ri2q12fCGjWjQSQHas4QP/Xp8UD4fOmvUcs2rcfW6FYAAMLlUgNRxhizgOlATZZlPPzww/j73/+OjRs3wh9X2LGpqcmywd1///3o378/Zs+eHbls0KBBlt0/M8nGQC3SDD6qjlpCZ4IUY+OMmoPETWOS1wt0daW+jZ2BWlxQlmyNWuRkgjHGLGB6wcc999yDWbNm4Sc/+Qmam5sxffp0TJ06FZIk4e6777Z0cG+//TbGjh2L8847D7W1tRg9ejSeeeYZ3dv4fD60tLTE/DCL2F2eA1B7emoFajoFbxPW2jHbibipxOAxx6D9l79MnVFLtkYty6+tiH//SBKQbDOBXUV5GWMFyXSg9re//Q3PPPMMbrrpJrjdblxwwQV49tlnceedd+KLL76wdHDr1q3DE088gQMOOADz5s3D1VdfjV//+teYM2dO0tvMnDkTNTU1kZ/+/ftbOqai5nIlLSqbM0KombO4aSfSKXgbc1vmDHFBV8nRR4NSnejZ2esz7sSAXC4I3vXJGMsB04FaY2MjDjnkEABAZWVlpPjtmWeeiXfeecfSwYXbU/3xj3/E6NGjcdVVV+HKK6/EE088kfQ2t912G5qbmyM/mzZtsnRMxYxcLtt3fUZqocUftA2sUROc6XAOjaAr5aYAvV6f2aaVUQsEtDsTcKDGGLOQ6UCtX79+2LZtGwBg6NCheP/99wEAixYtgtfrtXRwffr0wfDhw2MuO/jgg7Fx48akt/F6vaiuro75YRaxezNBeAxE6hSs0abs4YMmZ9ScI52p6NBtWh99VPtv2RRfnkOSQIGA5mYCDtQYY1YyHaide+65+PDDDwEA119/PX73u9/hgAMOwMUXX4zLL7/c0sEdc8wxWLVqVcxlq1evxsCBAy19HGaQUzJqoTVqwuiuz2AQVFLCa4ecJJ2aaEQgIeCqq0t+n9mSbI2aVrDJgRpjzEKmd33ed999kf//8Y9/jP79++M///kPhg4dirPPPtvSwd14440YP348/vjHP+InP/kJvvzySzz99NN4+umnLX0cZpDDArWYNWrhqSgtPt++Pp8cqDlDOuvNUtwmqyUx4h9bkiACgeRr1Ph9xhiziOmM2oIFCxAMBiO/H3nkkZg+fTomT56MBQsWWDq4cePG4c0338Qrr7yCkSNH4ve//z0eeeQRXHjhhZY+DtMXXjtELpdaksBO4dIHGgVvk7aQ6uxUyz9wRs05Mpj61JTt1za+QK/LpWbUNNaokc57kTHGzDKdUTvhhBOwbds21NbWxlze3NyME044AbLFGZczzzwTZ555pqX3ydLkgDVqSZuy6wWRPh/I6wWHaA4SmsY0exu7AjUlvhyMEGoGl9eoMcayzHRGjYg0d2ft3r0bFRUVlgyKOZTbbXugFsmcxa1xEnpr1Hjq03nSmfrUCdRMB30mxdd9QyijxpsJGGPZZjijNnXqVADqNNill14as8NTlmV8/fXXGD9+vPUjZI5BTqijlqTgLekdHLu6IlOfggM1Z0hjMwHZOfUZP15J0q+jZvfnhDFWMAwHajU1NQDUL8uqqiqUlZVF/ubxeHDUUUfhyiuvtH6EzDkccAASoQ4EQpaNt5Dy+YDwGjXmDGluJhBut/YUdq7XqOlsJtDN7jLGmEmGA7Vwv81Bgwbhpptu4mnOYuSgXZ8JddT0Do5RGTWe+nQG3exYEiJup2/sH3OcUXO51DVqpaWJ1+Vdn4wxC5leo3bzzTfHrFFraGjAI488Eil8ywqYgwI1zabsOmvUKDxVzwdQZyCKrYNnhF4WLhcZtfjNBLzrkzGWA6YDtSlTpkR6be7duxdHHHEEHnroIUyZMkW3tRPLPxR34HNCeQ4SQl3YbSZQ6+raN/XJgZojJCzONyL+NY+Xy4K3oV6fvJmAMZZtpgO1pUuX4thjjwUAvPbaa6ivr0dDQwPmzJmDP//5z5YPkNks+uDngDVqkYNg3Bo1kqTkGx18PpDHw2vUnIQo+TRmMnYGalonBsk6E4RPJhhjzAKmA7WOjg5UVVUBAN5//31MnToVkiThqKOOQkNDg+UDZA7ihKnPqDpqZDCjRuE1agBn1JwinUBGL1DLxRq1uM0EXEeNMZYLpgO1oUOH4q233sKmTZswb948TJo0CQCwY8cOboBe6Jywmy28UDv+oK0zLSt8PnXRN099OodO0EVInHZX/6BT0iMHa9QSTgwCAc01ahyoMcasZDpQu/POO3HTTTdh0KBBOPLII3H00UcDULNro0ePtnyAzDmcUkdNK1AzVPCWpz6dI37XrhF2Z9SilZSoJwCcUWOMZZnpFlI//vGPMWHCBGzbtg2HHXZY5PKTTjoJ5557rqWDYw4T7m9op9A6OdJYo6bb67OuLvQLJe2uwXIovgWYEbKcvANBtl/P+ALLbjfQ2pp8MwFnbhljFjEdqAFAfX096uvrYy474ogjLBkQc5i4nW527/oMZ06EoqgtrcL0Njr4/bzr02kszKgJIXK+Rg1uN+DzaZcY4YwaY8xCpqc+WRFzwGYCET5Qa/VeTHKg5jVqDpSstIUeRYkJjGLWseW6jlpJiXoCoPUcQu9LzXV2jDFmEgdqzDgHBGphpFUuIcnYqLOTy3M4jSxDuE0m9PU2IOR616fbnXyNWvj6jDFmAQ7UmHFut/1r1EK0en0mq10l/P59rX74AOoM6axRs3PXZ/xjl5So9fnMZgUZY8wkQ98yY8aMwZ49ewAA9957Lzo6OrI6KOZMVFKiliRwgvjF3Xpr1LgzgfNYvesTyOprS3FTtSkzaowxZhFD3zLfffcd2tvbAQD33HMP2trasjoo5iyRHZIeD8jvt3cwYYGAmtUIkyR1OlSLz6cGarwbzzGELKe1Rk1312euNxMkW6PGGGMWMrRIZNSoUbjsssswYcIEEBEefPBBVFZWal73zjvvtHSAzGbRBz+PR51GdIK4QE3oTcuGpz55jZpzpJFREzbXURMaU58cqDHGss1QoPbCCy/grrvuwj//+U8IIfDee+/BrbEQWAjBgVoBo/BONycIBhMyakl3fXZ1qZsJmHNkMPUZzvDG18JLmlG1gtZmgq4u88+BMcZMMhSoHXTQQXj11VcBAJIk4cMPP0RtbW1WB8YcyOOxfY2aCNdRCwbVoqNhSXakElFk6pOL3DoDEWUUqLndbuzZvRsl0YF6ll/bhGxeSQnQ0aFOqcdfl99njDELmS54q3Ahx+Ll8ahBjw2IKDZjFjf1SeFm7VrS2WHIssvka0JxbcPc0UEaYMsaNdHRoWaZGWMsi9LqTLB27Vo88sgj+O677yCEwMEHH4zrr78e+++/v9XjY3aLPjjZGKjFIFIDtbjOBMnKcwCc5XAks6+JnWvUQk3ZIyMuKYFob4fQyKgxxpiVTK+EnTdvHoYPH44vv/wShx56KEaOHIn//ve/GDFiBObPn5+NMTKbEBGiD32OKc8RPihHZ2SMFuMN9fpkeUgvC5fjpuzkdgPt7ZxRY4xlnemM2q233oobb7wR9913X8Llt9xyC0455RTLBsccxut1RkYtJCZLxv0V847pLGf89GPsneW2hVRZmVp0mTepMMayzHRG7bvvvsMVV1yRcPnll1+OlStXWjIo5lB2byYgSn5w19tMwIpDLltIlZer/00WqHHmljFH8e/albefSdOBWu/evbF8+fKEy5cvX847QQudQ+qoEZA4FSVEdsszMMskbAyxQq4zahUV6sPyGjXGHE9RFHh694Zv+3a7h5IW01OfV155JX75y19i3bp1GD9+PIQQWLhwIe6//3785je/ycYY0/LYY4/hscceg+yQJuIFwe41ajpTZcLtVqeidG/OGwocQyeoEnp/S/Ia5ropO8IZNV6jxpjjRTJp334L1NfbO5g0mA7Ufve736GqqgoPPfQQbrvtNgBA3759cffdd+PXv/615QNM17Rp0zBt2jS0tLSgpqbG7uHkr+iDX6ioLOlNQeYQr1FjETZl1HiNGmPOF55tEQ5aY22G6UBNCIEbb7wRN954I1pbWwEAVVVVlg+MOZTNc/xCCDXjEl+mQW/XZ56uSyhoOoF+0n6eqe4vh4EalZWp/8MZNcYcL9KjulgCtWgcoBUXJ2TRAO01akYbrhN4g0FBysV7M+oxhNeLwKGHxvb/ZIw5EnV0qP9TjIEaK062T30KkXhgTjH16ZQgk+1j5jUxFFxnMwCX5ZhMn7ukBJ3//jfcGs+B32uMOUxnJ5TKyryd+uTTQabPwQedmANitqe+mLWSvFZpBzm53kwADsgYyxfU0QGqqcnbjBoHaiyl8AGJD0zMCkSU3jo0PVkO1EivfVWy8TDGHEF0dUGpqgJ1ddk9lLSYDtTWr1+fjXGwPGH3Gi8RdUDWChz1xhbZiMAKUxZfW0HE69EYy1edncWVURs6dChOOOEEvPTSS+jK0+iU5TkhDJfiyEr2hjlPrstzpGD3CQ1jbB/q6IBSXe2Igu3pMB2offXVVxg9ejR+85vfoL6+HldddRW+/PLLbIyNOYxjpj4lyVgDdg0ctBUoG9aoMcbyg+jsBFVXF8/U58iRIzFr1ixs2bIFs2fPRmNjIyZMmIARI0Zg1qxZ2LlzZzbGyZzCAT0MKcM1c3aPn6nSacqe9DY5yKhxkM9YfqLmZsi9ehXP1GeY2+3Gueeei7///e+4//77sXbtWtx0003o168fLr74Ymzbts3KcTK2T2kpRGen3aNguaYXKHFGjTGWzO7dUGpri2fqM2zx4sW49tpr0adPH8yaNQs33XQT1q5di48++ghbtmzBlClTrBwns0F882yhVb8sx4QQoNJSiLgUtmOmZVlK6WY0dW+V7dff7K5Pxphz7NkDpbY2b6c+TRe8nTVrFmbPno1Vq1Zh8uTJmDNnDiZPngwp9CU2ePBgPPXUUxg2bJjlg2XOQLIMuG2sldzZaboZNgdy+S1VcJfzpuw6+L3GmMPs2QP54IOBPM2omT7aPvHEE7j88stx2WWXoT5JF/oBAwbgueeey3hwzHnI4wECAcDrtW0M/iOPBFVWwpXOjU3sGGV5xGG7Prn4MmPOIfbuBdXV5W1nAtOB2vz58zFgwIBIBi2MiLBp0yYMGDAAHo8Hl1xyiWWDZDaK7m8ohNqE2uazEnHNNdDMWYQ2OiRkNKLrrmWwY5Q5WC46U/DUJ2P5qakJSm1t8Wwm2H///bFr166Ey5uamjB48GBLBsWcizwekM1vdiFE+tNLLhcHag6Rzmuoe5tsZ9R4SpOxvENE6ixQdbXtSYZ0mQ7Ukq0VaWtrQ2lpacYDYg7ngIyaGfHvV5IkUDBo02hYVjlp6hNcBoYxJwhvihMlJUAgkJefS8NTn9OnTwegntHeeeedKC8vj/xNlmX897//xahRoywfIHMWKinJ2/QxAHUTBAdqtqJsrBHM8tSn4PIcjOUlIgIBed0CznCgtmzZMgDqk/7mm2/g8Xgif/N4PDjssMNw0003WT9C5iwejyMzakan0YinPu0ny+rrYELKs2AueMsY0xD+7pAkKfk6ZoczHKh9/PHHAIDLLrsM//M//4Pq6uqsDYo5Fzk0UDOCNxM4RDCorhW0UpYDNeKMGmN5iYJBILyuOU8/w6Z3fc6ePTsb42D5Io8DNQCA281r1OwmyykDNdPrSLKdUZNl3vXJWB6iPXug1NSogZoDWiCmw1CgNnXqVLzwwguorq7G1KlTda/7xhtvWDIw5kxUUmJLdef4Lgma10HqAzy5XLxGzW6hjJql0w/ZPlPmjBpjjqGE1rnGlwnTQi0toMrKvJvujGYoUKsJR6Oh/2dFJG4+n7xe2/qlZbJGKPIceI2a/WQZlGZnCzubshvNqOXzAYExp1MUBcFzzgEddBA8DzyQ8vMmOjpAoc2PRk7mncjQt2X0dCdPfRY5r9fWXZ8ZHwQ5ULMdBQLprVHT+4LNQcHbfN41xlih8P3973Dv2AFFlhFYvx6eIUN0r0+traCKirw+gTL9zdPZ2YmOjo7I7w0NDXjkkUfw/vvvWzow5hBxb27yeOyb+rQCT33az8AatXgpp74dlFFjjGWHLMsoufdetNx3H3w/+xnorbdS36itDVRRof6/EGqv6jxj+ptnypQpmDNnDgBg7969OOKII/DQQw9hypQpeOKJJywfIHMYr9fWfmnJzoq4PEceCQbTnvrUleWm7Kam3nPR0oqxIhIMBoHDD4f/6KNRMmYM5AkTIN58E/4NG3RvR21toPJyCCFApaWgqERTvjAdqC1duhTHHnssAOC1115DfX09GhoaMGfOHPz5z3+2fIDMWcjrtSejpihpHfgSMjFcnsN+waD57FSqTSLZLnhrtoUUB2qMWUoJBuH66it0Tp4MIQRKevRA2z33gP74R/0Zl/Z2oLISANS1au3tORqxdUwHah0dHaiqqgIAvP/++5g6dSokScJRRx2FhoYGywfIHMauNWp+v1rDLYWED2z87243B2p2k2X1dTB7G73p0mwHRkSmgkuSpLycYmHMsVpaEDzoILgmToxcJI0ZA/HDD5FdoJpaW0HhQK2sDFQMgdrQoUPx1ltvYdOmTZg3bx4mTZoEANixYwcXwS0C5PUCdmTUOjqA0lLzC0LjD/C8Rs1+6Ux9pupmkIs1ambee5Kk3oaxIpSNnZW0axf8xx0HV9QJuyRJUMrLoXR2Jr9hezsQ3vVZXg5RDFOfd955J2666SYMGjQIRx55JI4++mgAanZt9OjRlg8w2syZMyGEwA033JDVx2EqzQXcXi/IjoxaZyeotNT87QIBUElJJMDjNWoOkE7x2NBtdAN1B2XUIAQHaqwoybKM4DnnQLb6hHjXLig9esRcJISA0rcvlI0bk98uajMBlZcXR0btxz/+MTZu3IjFixfjX//6V+Tyk046CQ8//LClg4u2aNEiPP300zj00EOz9hjMALs2E2QQqMVMs7lcankIZp9gMDtTn9nEGTXGDCEilLz9NgLr1ll7x1u3QqmvT7hY7tcPYtOmpDcT7e1AVKBWFBk1AKivr8fo0aNjqgIfccQRGDZsmGUDi9bW1oYLL7wQzzzzDLp3756Vx2DG2NbrM0WglizTQn4/qKRk3wW8Rs1+6ZTnSNUf1GnlOTijxopUeG2mXvCUlq1bofTpk3Cx0q8fSGd9PEVtJkCxrFFrb2/H7373O4wfPx5Dhw7FkCFDYn6yYdq0aTjjjDNw8sknp7yuz+dDS0tLzA/LQPzBr6TEvkAttM7AlLiMGrndEJxRs1cwqL/eLNlt9LJwudhlaTCjJoTgjBorWtTaCgAQmzdbe8fbtoE0AjXq1w/QmfoU7e0xU5/Iw4ya6WJGv/jFL/Dpp5/i5z//Ofr06ZP1ar+vvvoqli5dikWLFhm6/syZM3HPPfdkdUxFQ+vAV1KiBj+5HkpoM4FpoTVqER6PLeNn+6TVmSB+CjuewzJqxIEaK1YtLZAHDgTt2mXt/W7ZAvTtm3Ax9e+fNFAjIohQHTUgf8tzmA7U3nvvPbzzzjs45phjsjGeGJs2bcL111+P999/H6UGD9K33XYbpk+fHvm9paUF/fv3z9YQC5vWAmqbpj5FV1fqNWpEibuNNDJqtmyGYPukU54jEEhdniXbmwl4jRpjqbW0INi/P9DUZNldEhFEUxMQt5kAAFBbC7FjBxRF0W7SHghAeL3q/5eXA9u2WTauXDEdqHXv3h09tP6xsmDJkiXYsWMHDj/88MhlsixjwYIFePTRR+Hz+eCKOzP3er3whl8Ulhmtg1NJiS3lLaijA1RaipSHSq1ALTqjZtP42T4iVakNDeT325ZRIyJAUcx3JuBAjRUham6GPGAAXBYGarIsA7IMSeN7Q7hc2ifp2PfZDR/HqKysODoT/P73v8edd94Z0+8zW0466SR88803WL58eeRn7NixuPDCC7F8+fKEII1ZTKNtDpWU2FLw1lBGTSuLEQjErG3SWqNGST7kLEtSbSbQeC1E/BR2whWE2r0iW9LIqHHBW1aUWloQ3H9/SMuXw/erX6lBVoaorQ1KeblmxkySJPU7XOfzH1miVVFRHFOfDz30ENauXYu6ujoMGjQIJXFfnkuXLrVscFVVVRg5cmTMZRUVFejZs2fC5SwLNA5OwuOxL6NWVqZ/Ha1Aze9Xp2vDNNao+d9+G2LuXHhefllNsWe71EOxS1WeQ+vfPz4zauQ2VjK765OnPlmxam0FamvRdt996HbiiQjceSdcvXtndJdKYyOUJPchhABVV0PZuxeIuw7FJxvytDyH6UDtnHPOycIwmCNpBGpUUgJh065P6JRmEUKoWZr4szeNjFp86ps2bYL3lVcQePhhiB//GOKjj+DSCwpYRii069NUaJUio5btXp+mC95yoMaKVXMzqKoK7jFj0HHddSjZuDEhgDJtxw4ovXol/bPSqxekHTs0H0dEnXzna8Fb04HaXXfdlY1xGPbJJ5/Y+vhFJdkaNTt2fXZ2pt71qXFwJL8/JhMjPB6guTn2Oj4fyO2G8sYbcK9ZA/n77+E65BDLxs7ipKqJpoF8vpRZOOGgpuy865MVrb17QaHCtEptLdDYmPl97twJpVevpCd3Su/eoMZGYMSImMsLJaOWVsHbvXv34tlnn8Vtt92GptCCwaVLl2LLli2WDo7ZLBSoxUwFhgK1XK/pEp2dQIqpT0hSQkZNBIMxmRhyuxMDzXCNtq+/RufZZ4PWrrVq2ExLOrs+g0H9XZ/ZnvrkjBpjxmzdGql3RjU1oLgT47Ts2AHSycopvXoBO3Yk/Xt0Rk10dOTdmmTTGbWvv/4aJ598MmpqarBhwwZceeWV6NGjB9588000NDRgzpw52Rgns4PWm9mu9VtGWki5XGoF+2jx9bc01tiJUNNesWEDAj/7GUqsbn3CYoR3fWq9k5KtDxSp6qgBzmrKzrs+WZESUYVplepqYM+ezO90xw7Q2LFJ/0y9e2sGaqQosd8LpaVAV1fm48kx0xm16dOn49JLL8WaNWtiapudfvrpWLBggaWDYzYzu9Mtmwxk1Mjl0t71GZ9Ri9+1GiqISIoCGjoUxIFadqU79Zkqo8Zr1BizFREBbW1AVZV6QU0NYEV3oBRr1Ki2Fti+PfHyULWA8AlguJRHvjEdqC1atAhXXXVVwuX77bcfGq2Yi2bOobXr067Arasr9dSnEAlTn/H1t4TGrk/R2alet7QUGDQIUkND3qXG8wml05Q9blOI9h07KKPGgRorQkQEEEXKaFBNjTUZtZ07Ierqkj9u794gralPrZmYPCzHZDpQKy0t1eyfuWrVKvTOdGcHc5ZkJQnseKN3dKQO1LR2fQaDMZsJNNeo+f2QNm1CcMgQSGVlgN8PhQ+y2ZNGRi3+dUyQg16fgjNqjOlSZBmEqBP6bt2AvXszuk8igmhpAYWzdFrX6d0b0s6dCccl6uwEogrg52vpJdOB2pQpU3DvvfciEDrYCSGwceNG3HrrrfjRj35k+QCZjRw09Sk6OlI3ZdeY+hTxmRitXp/BIEQgALlPn0jxRIWLlWZPqoK3GoTfn7LgrZOmNHjXJytGtHcvqLp6X2FaC6Y+w1k6vRMlUVYG+HyJCYQka5sLPqP24IMPYufOnaitrUVnZyeOP/54DB06FFVVVZgxY0Y2xshsQmane7I1DqLEwrVa19PY9RlfKJU0youE68JR794QQkDp2RO0c6c1g2eJ0pj6pFRrFB0WqDluPIzlAG3eDDlUmgMAqKpKzYZl8FkIl9jQ7OMZIkmS5kyP8PlABZBRM73rs7q6GgsXLsRHH32EpUuXQlEUjBkzBieffHI2xsfspNFCys43esqpJ41Ajfz+fQtbAYiSksSm8qHALbz9Wx44ENLatcB++2U+aJYoVa9Pran1ri6QTsFjxwVGnFFjxaixUa2dFiJCsxyZdHwJt4bSu70QAoTETJlWRxut6zmd6UAt7MQTT8SJJ55o5ViY0ySZ+sz1Gz2c+k7J5Ursr5iiKTsRRQK18K4ieeBAuNeuBY47LuOxMw3prFHz+WLWmiRwWqDG5TlYEVJ27QJ17x4pvROpX5bBZ1NpaoJSXZ06UCspgdLVBVRW7vtDV5fmGjVKp5ajjUxNfSqKgueffx5nnnkmRo4ciUMOOQRnn3025syZk3cRKjPAQWvUAAPZPElSK8hHi28hpdUCK/TeDWfUaNAgiA0bMh0uSyKtXZ+pOlM46H0KgDNqrDjt2ROT+U6W6TJlxw6QTmmOMOrZM3Hnp8YaNSorU79P8ojhQI2IcPbZZ+MXv/gFtmzZgkMOOQQjRoxAQ0MDLr30Upx77rnZHCezg0PKcxARjHzMSWPXJ2lk1ChZC6zqavU29fXAtm1pjpalItLYTICurpi1Jol3mr2MWloHGQ7UWDFqaorpyRw5XmSyRm37dt0aamGa3QnivjeEEKCKClBra9rjsYPh09oXXngBCxYswIcffogTTjgh5m8fffQRzjnnHMyZMwcXX3yx5YNkNnFYltRIRi2hhZRGoCY0ArXdb72FktBmBaqvh2hszGhdBdNhJKOmsUZNL6OW9absJvGuT+ZkRIRgZyfcZWWWfseJvXsTM2rl5VCamwEDwZamFH0+wxSt7gQa9TepvBzIs8bshjNqr7zyCm6//faEIA1Q16vdeuut+Nvf/mbp4JjNdKY+c7pGzegBT+vgGB+oxZXnCD8P6bjjIruKpGRbvZk1UmXUtIKuFIEaAEcFapxRY04WbGlBSUUFghnWOEvQ1ATq1i3mInnwYOCHH9K/zxR9PsOU3r0TuxN0diZuJijkQO3rr7/GaaedlvTvp59+Or766itLBsUcwiFr1CiUvk555qdV8Da+jppGeY544cfhordZEgzq7/rUCtTittkbuo2deDMBczBl0SIAADU0WHafRKRm1OIDtUGDQGvXpn/HBgM16tVLc41a/CYkqqhQ21zlEcOBWlNTE+p0WjjU1dVhjxWtIphzaHQmsGLNgWmhXpzpBGoJa9S0diHFTXFGFsDygTY7Uu24SpJRE6k6UzgpUJOkxB3IjDmEWLgQnVOmABs3Wnaf4XqXIn7xfrdumbWR2rnT2GaCujoIrc0E8YFaIWfUZFmGW+fL1eVyIRhV9oAVAEXRznxIkrpzL0eotTV1VwJorwsSKQrlam1UEEJA6d4dtHt3OsNlKVAwCKHzXUKh4pXRhIHNBI4KrHnqkzkUEQGLF6PrjDMACzNqYfEn1FRdnXZ3AiKCMLjrE717A/GFyltbI5vEIveZhxk1w5sJiAiXXnopvEm+LH0+n2WDYg6RpNdnpLp/qgyHVdrb1Q9XKloBpN+fVq83pbYWrm3bgD59zIyUGSCMTH1GBTlElH911DhQYw4l+/2Azwdl6FDg3Xctu99wB4GEy6ur0+73SURAZyeEke//bt0g9uyJ3QS2d6/aGD76PvMwo2Y4ULvkkktSXod3fBYYWdYuz6FV3T+bQlOfKWlMfabsEQkAQiQEcEp9PWjLFmDMGLOjZanobCYQQmgHXanWSzosUNPKCjLmBMrXXyMwbBgwYIClU59JZdCYPbxExcgJtnC5Il1NItffsyemXAigZtSoqSmt8djFcKA2e/bsbI6DOZGiaB5QtfplZlVbm7GMmkZTdtJYMxH9YU7W9UDhWmrZk6o8R5KgS/fL2mGBGoRILL7MmAPQhx8iMGECRPfuQHOzZWWIkgVVVF0NkcHUJ2ncp5b44rpEBNHcrGb0olVUAJs3pzUeu5huys6KB8my5tQnSkpAOZzqJoOBGml0JhA+X+qMmtZ91dcDW7eavh0zQFFM1VEzVCYlB7uTTR3MeOqTOVCgvR3ik0+gHHssXC4XSAgEm5utewCtz2p1tbpWLJ27CwQAl8twoAYiKNGzKsEgRPySiSRr1BRZhm/lSkeWZeJAjSUlUq1Ry9U42tuNTX1qFLxNtUaNFCVh1yfA3QmyKhhUpwaTSTJtaGtGzex9c6DGHIaIQD/6EeSePeGurIQkSQgOHQpat87Sx4n/nAq3O9KY3SzatQtK9+6GAzWlpgYUmmYNz5YkfLdrBGqKLKPr1VfhHTECAYv/PazAgRpLLtmuzxwHatTWFttoN5m4qU8i0pxmi+k95/Ml9IIDAKqtTdzqzawRDELoZTk1NhM47xw3BQ7UmIWsyPKEA5euRx/dVyuyrg5k0cyB7hjTDNSwY4eh9lGRMUS1kUr6vVFRAXR0xFzkW7gQ5RddhOY//AH03nvmx5llHKix5DQ2EwChjFouNxMYzai53SCtcemdjYUqVyecBVZUqH3iHJgGz3sGOhMklNpItY4m2xk1s1OrHKgxi8iyDPmooxDIcIpSURQQEOnAAoRmDhobMxxhSGg3d8J3qVbtSoOM9vkMU3r1AoWeT9KNCJWVCRk1sWkT2q65BvLZZwOhYsBOwoEaSy7J1GeuM2pobk6ohaMlWQAZX8xWRK9/am9PaDESuY2icHeCbDDZmYCMdMhw2GYC4oK3zCLyli1wf/kllGXLMrofCgYBSYr5PlTq6ixb4kFdXZoldOIX+Zu6T7OBWu/eoFAbKWprA3k8mlOfoq0tZjxi3ToETz8dYr/9ILZuddz3PgdqLDm9XZ+5zKi1tICqqlJejbzemIbryXZ0Rv4GqClwjanPTL5cmD6RIqOmWdrCQEZNOOm1EiJxvSRjaaBVq+AfPRpYvTqz+9mzB0pNTcznyNK1uEmKUgsh1BqX6Zzc79gB1NYavjpFNWZXFi9G8NBDEzN8paWJiYZ160CDB0NyuUBuNxSH1YXlQI0lp7frM4eBmmhtTdxiraWkRC2MmkJMUcaOjqQZNSotBeVZYcS8YKQ8R/QatSRT8NEoixm1tNbIaZSKYSwtP/wA/7hxiX0sTaI9exKLv9bXQzQ2WnNCqhOoKd26gdJpI7Vrl6E+n2FKVKAmtmyBvN9+2lcMlWhS/5cgtm8H+vRRN1gceCBoxQrzY80iDtRYcoqiuTuPSkpiMldZZ3DqEx5PYtmQ+FZE8Qd8nUBN6d07st6BWYOIzPf6DL1GKXd+OSmjplF8mbF00Nq1CIwaBWRapLWpCUpcw3RRWal+vqzYrJBk6hNIv9+nMNiQPSJqExht36552/jZEkVRAFlWC+YCCB56KGjJEtNjzaaCDdQee+wxDB8+HOPGjbN7KHlLr45artaoERHQ1aU5PZnA6025Ri10p/v+P0mgBqhtpCxbaMv2Sbb2MSx+jVqSdYR6t7EbuVzqFC9jGSAiSOvXQx41CiLTQE0joxauPWZFoCZ8vqT9eJWaGtOBJhFB7NoF6tHD+G169YII9/vUCdTC9w8ASkcHlJKSyCYLZexY0H/+46hlLwUbqE2bNg0rV67EIgfu4LBTYN06yEaLDyYJ1CjHBW8hBITegT0kfu1cst5zAPbtKkwRqHFGzSbRX5JGdv3moOCtKVo1/RgziYjU93+/fpE+lmnfV1OTmtmKYuVaXOrs1Cx1BADUvXtagRqCQUh6PX7jhNefEZG69q5v38TrCAHyekGhEh20Zg3kIUMiAZw0aJA6bdrVZWq82VSwgRrT5h45EoGnnzZ2Zb1dnzlao0ZEhtf6kMejuUYtYddPdEYwVJ5D8/44o5Y1utOY8ZsJdILpqDt0VEYNbjcHaixjkZIaZWWZf+fu2aMdqFl14t3VBXg8mn9SunVLL1CDuY4g4baAiqJANDVpZuOEEFC6dwft2qU+znffQT7ggMjfJUmCb9w40E9+4pisGgdqxcbv1592ipak4C15PBC5DNRgsNeb15tyM0FCU/mODiBZRq2ujgM1O8RtJjCcUXPIlyoAwOVKb5cbK0pyRwe6fvtbBELBQ1ikc0ro5CWjwCFZoNajRyRoyYTe1Cd17w7avdvU/Znp8xkZQ+i6sizv+3dLMh6Ex/Pdd5APPDDm74EbbwQ1N0OOK4xrFw7Uikyq0ggx102WUSstVReO5ggJYejDSh5PwtSn5vWixk96QYCFNYaYSq9kSoTWZgIjBY8dFqhxRo0ZFXj8cdDKlVD+9KeYy2nXLig9eljSNF3s3Qt0755wudKjByi8risDelOf6NHD9GYC6uxMGvglI4QAVVQguGtXQnHfaEp0L+dVq4Bhw2L+XlJeDt+pp0L+5z9NPX62cKBWRCKBi4mMmubaH69XTXPngJHSDBFGM30ez77xd3YmzahRXR3E9u2OSX8XjfhALR8zajz1yQwK+v2Q3n4bnU8+CfHllwhGzwps2QKlvt6atWQaGTVADdSEBRk1+HzJd32G1qiZGT+F2keZzagFhg9HeagsR7LbKgMHgtavV6dI9+4F4jZZAEDwggsgnnwSci5rhibBgVoRidSNMZhRS7ZGLdlasGyg1la1krSRD6vXG7vWIjR9lrBGLTrQbG8HkgQBUkkJIMsZVanmIE+D2S4DDgnUzBwwyOVS68UxloLy7bcIHHIISsrK4D/mGMjvvx/5G0UFapkgIoi9e7UDtV69ACumPvXWkvboAe+TT8I3Z47xOzTZ5zMsePXVCAwbBvh8yQO1AQOA9euhdHWB3G64NI6J7t694Tv1VASeecb0GKzGgVoxMvqhTzZNGh8QZRE1N0OpqjL2RRU/9en3qxsH4u8zei2bTrpekiSQy6W2XkmT/8Yb4XNYTR6nS+hMoLOOMCLbgZrZ++Zdn8wg+vRTBMePBwAEzzgDmDdv3x+3bVPXyoavm+Z7nIgAv1/dFRn/t549rZn63Ls3aWHySGcZE0V7aetWtYCtSe7qanRcdBF8J5yQ/L4HDIBoaIDy3XcIDh2a9Pgi/+IXkObORcDk+jqrcaBWjAwuck5aR83rhchRoCZaWkCVlYauSyUlsVOffr/2LqTSUkMZNSEE5L59oWzYYHLU+3gefRTKRx+lfftClbLBenRngrY2+zNqZjMabjd3JmApERHEwoVQjj5a/f3AAyFWrdqXxd+6FdSnT6TeWSaPAyT53PXoYUlGDc3NmlOIACCFClxrnTgntWkTqF+/tIYifvUr4MYbk/+9ogLo6IDywQcIjB2b9Hourxcdl18O2WilhCzhQK2IEFHCgntdsqzdmSCXU5/NzcbaR0GtoRPT2srn027KGz31qVOeAwCCBx8MWr7c1Jh9ixej67nn1K311dUQbW2mbl/0NDYTJAumo29DTgqMXC4InvpkKcjBILB3L6SePQEArpISkCTtWxfV2Kj24wQy3vWZbAclde+eVteABDo9mSOPa+YzsWkTlHQDtRQb0CRJAoJBuP7v/0CnnaZ7X3TaaZA++sjWRu0cqBUZil5In0qyXZ9lZTkL1Iw2ZAdCGbWocZHPp5lRiw/U9IIA+fDDAbNFk996C57bb1cfq1s39UyTAdi35d7AFff9v4E1atnu9Wn6NpKU0ZQ5Kw6BV19FMNRjEghl8fv3B61fr/7e2AgKT3263Wmve9R9D6exI1NTS0vyjJokYc+//gXJxOOITZtA/ftnPq4k4/EdfTQ6zzkH7hTfLa7ycihVVQhaMD2cLg7Uio3Xa7wGWrJALYcZNTQ3Gw7U4PHsq0oNqBk1rTVqoalPIoLQmfoEABo+HOKbb8ydTYXW9hERqKoKoqXF+G2ZZsFbVFTYN540CN71yVIgIninTUPXWWfFXC4fcAAQnv70+yG8XnXXZwbfuxQMqh1etDJq1dUQzc2Zb3xKdVK9337Ali2G7oqIjPd4ThPdcgvwy1+mvJ4QAv7x40Eff5y1saTCgVoRISJ1vZfRDI/ers9cFbw1MfUJlyt2XVCyNWoeD6izM/QApB5Uk3CXlUEpLYVsZg1HVKCmcKBmnhDq+sgwA1OfIj64sxsHaiwFWZYROPJIuOKm3uShQ0GrViWsK6PS0n3fWybR3r1Qqqs1AzXhcmX82SEidYmHznpiqq83XO4oXG/RivpxyaSaHo0mT5wIfPhh1saSCgdqRUaJblqb8sqK5q5PEb0YP9taWw1n1BI+dH6/GlTGodBmCCPFV4UQ8J94IpR33zU8ZBBFAlyqqFCn7sINgJ20jspGKTcTRGtvN5ZRc9CuTwqtgWEsGWXnTijduycUZaWDDgK+/x4Ubh8V/ruBzivJUFNTQkP2MCsas0eCSp0anVJog42R70AlEAC5XEkL1uaa2H9/iLVr1Y4HNnDGvwLLCSKC0r272gPNwIdSKIpmU3PyeHK26xM6W741KUrs1KdWoBY19WnkrC146qnAu+8a/yILBtWyHuEvJL8f/jVr4OvsRPDaa7m2WipCQET9G+nWZ4q6jaMyavHZXcbihJuBJ+jbV20KvnkzlNrafRm1DAqNi7171X6bycYCC2o+pvgulSQJpChQDAQ7ypYtkOvqHBOoSS4X5L59IYfWDub88W15VGaPcKbH6NmTTnmOXE196m35jpewuzPJZgIR1wIrVaDm6tMHaGqCbPRLMvzvFgiAPB54PvoI3oMOgtzWBmHTB90pzLaQIiLdiudat8mKdMpz8NQn00Fr1kDRCNRcbjeU8nIon30GedCgfdfPpCPMnj1JT3gjgWCGhb1TffrCzdAVIzXJNm6EEuou4ARCCASOPhr073/b8vgcqBWTri41m2Q0UEu2mSC0+ygnmaE9ezT70yVDQuxLw+tMfSI09WnkGUiSBP+xx0J+7z2Dg1ADYmprA5WVQQmPv7NT7bVa7FIEPdEFbyNZz1Rn1g7rTMDlOVhKq1dD2X//hIuFEOi64AJ4b701JlDLaOqzpUU3UKOKClBra1r3DaSo0xZF2W8/YOPG1He4cSNkBwVqABAcOxb44gtbHpsDtSJC7e2gsjLDaW5Kshg/5UHTIkSk7kZKd+ePXsHbzk5QIKAeUA0cgAM//jHEK68Yz0S6XOpZbE0NlNpaNTjs7IxdJM+0xRW8VS8y2XbKZiRJ/FoXEd/8+fD/8IPh6xMRpLVrQRqBGgBg0iRImzfHTI1mlFFra1PXy2oQQkDp1g2UQfV9StKuL57cr5+hQI0aGtIudpst4oADINats2XpCgdqxSRU3JXKy0FGirAmmToMy9UbVhjsTZow9dnVlbyFVFcXqKUFSmWloUDN1a8fqK0NQSNfZuFCwU1NULp3V7Nq9fWgjg6eDgtJuZkgKqNm6F3msEBNlJTwZoIiQETo+uADeCdNgvLOO6Zuh5YWiCTrxlxuN/Zs2wbXmDH7bpNpoKa3IzPUND1toSRAqu9S6t8fipHlHxl0JcgWyeUClZRAbm/P/WPn/BGZfTo6gNJSKL16gbZvT339JIvxc8XQeiY9gYB+CykTxXQlSULXWWdBeeWV1FcO75aNC9TCU5+8mcCAuH8jOzNqRGR+Y4DLxUF5EQisXQsxYwbarrkm9TrKKEroe0Dvfe2uqIhdTJ/B1Cfa2nR3TivdumXURspoGSXq3x9i0yb96xBBbNyYtWK36ZIkCYFDDoGydGnuHzvnj8jsE9o9ZzRQI79f88snm7VtYh4/lE0x+3iR9RLJAs3wmamJPqIAoEydCukf/9jX3iXJY0sbNkDp0wfYtQvUvTs6p0xRt8Z3dhb9wTutzQRG7jdH70mjiJuyFzwiAs2YgY6770bw5JMh9u41fFtlyxYotbWmdjWS15t+HbXW1qRTnwDU5ucmGqYnaG6GYuCkV+nXD2LzZt3PtRwMqu2dbEwSJBM8/HCQDevUOFArIuE1akqvXoCBQE3oTH1ShnV3jDC67iHp7Ts61HZX8ZeXlampep2dUFrcFRXomjwZwWefTf6YROp9V1cDTU2gHj2Aq68GAIiuLj54J9tJHC16M0GonpKh94CTMpUuF28cKXByMAixcSOkUaPMTx2uWIHgsGGmHi+TskiivT1lMVpqbEzrvv1ffAGlocHQ7IRUVaWW29H5rCqbNkGOaqvlJDR2LLBoUc5nRZz3L8GyRoR2fVJdHWDkQ5lk16QQwny5gjRQR4danNbgYyVcr7NT3eUaL9wofdcuKKFmyEYFr7gCYu5cBJL8+ymKAnK7IQKByNQnEMr4cEZN3S2ssW4wRvRmgtZWkMF1hFkL1Ii4PAdLoKxfj+DAgWpA0bev4fZIANIK1JBJofFUXQPq6oBt29K6a8/RR8P14oumTnp1A501axA84IC0xpJtokcPtSZdjmskcqBWRJTGRlCPHsYDNZ9P7UKgJQcZNWXrVii9e5vLqEWPq7NT/XKLV1amfuHt3Gk6UHOXlqL91ltBt9yi+fwpEFAX/QaDwO7dQI8ekcBWcKCmrhtMlSGLnvo0Oj2dzc0EigIyuKElwuXizQQFjpYvR3D4cPWX3r0hdu0yfgD/9lvQwQebe8C4+o9miPZ23alP1NcbmmXRQkJA7NljKKMmhEhZdYDWroUycGBaY8k2SZLUGnc5bgvIgVqRICKIDz6AfPzxaqBm5EPp92tmPyIH2WzXrVq3LraOkBHRB8jOTs2pz0hfyJ07QSYDNQBwHXMMguXl8P3tbwl/o61bofTtq+783L0bCN0/eb0Qe/ZwoBYMgnR6qwKIDbpSrK3RvI3VktUT1MObCQrfkiVQDjsMwL6SRYb7WDY2An36mHo48njSyqiFl2Po9culqqr0G7O73Wq3GwMZNSOzMbRuHRSz3/s5IoSAfOCBUFasyOnjcqBWJBRFgWhshOjXD9S7t7HmuEk2EwCZLWw1ilasgHzggYavL4SIbRgfLvCrcT0AaqDWq5fpcQkh4LvnHkizZ8P/7bexf/zhBwQGD1av19oKhM4yqaxMzbAV+a5PCgTUaUE90Q3WQ1OfKWUzUAutqzOV2eWpz4JGRBBffw3lkEMAhNojuVxQDARS4RZKktksbSZTn4qiW+ZImOlYE8/lgti5U12PawC53WrXGK2/EUFavx7k0EANAIKDB4PWrMnpY3KgViTk7dsh9+wJl8ulTmf6/ak/lF1dSXd9UmWluu4hS4gIWLIEFFVHyNDtPJ590wPJMmrhg/quXRC1tWmNz11Whvb/+R9g2jQEdu2Cv7FR3WDxww8IDhyo3n+oor4QAlReDtHUxAdvA4EaaaxRSymbayYVxfz989RnQZMDAVAwCFfo+0UIAblfPygNDalv29CQ3mL5UKFus4wEX5KJjGAClwvS1q2gvn1TXjV87KAkU4dEBLS1QaRb5DwHaOhQwERxYytwoFYkaMkSBENnf0KImFZLyYiuLnW9ldb9ZdhyJBVFUSB274Ywm/HyePbVGtLJqBEAYaKOmhb3wIFo/+1vgalT4enTB4HWVtAPP0SqjUeXFqHycvX5FHugZmTqM6qqv1PWqKU19clN2QuWsmIF5AMOiAm25AEDgHXrUt/4228RPOgg87vZKyrUWpgmGWnvJISA4nYbygjG33f4O5YMTuVSVRUoSSkTRVFAgCN3fIbR/vtD/PBDTmdGnPuvway1dCnkUaMAGGvCG1nXkOQgSRUV6s7JLJE7OkAej+kPbEz17s5OCI11GeGWKaKpyfz0Qxz3UUeh7amn4D/iCCjffAPp++/VQC08vRE+Uy0rUzNqxX7wDgaNTX2GS7M4YOqTjJQUicd11AoarV2LYFxDdRo0CGQgUFO+/Ray2Y0EUE/20g3UUtWjFEJA6d3bWCH0OMExY7DnscfgNrKWFFBrTCbZIWu0Z6itevRQN09woKaaOXMmxo0bh6qqKtTW1uKcc87BqlWr7B5W3olfTxFJPzc3695Grxl21jNq33+P4P77my92W1YWmR4QycpzAJDr6yFt3GjJmZu7Xz90XHMNSq6+GorXq1YUb2iA3L9/bEYtkxYthcLoGrV0MmrZCoIVRS1ga0b4dS/i9YgFbft2UNyyCWXgQJCB9khixQpQeLeoGRUV6smzWT4fUFKSumF6ba2xagBRIu/vCy4w/F0t77cfxKZNUGQZgZ07Y+9PltUd8g4O1CRJAgE5LdHh6EDt008/xbRp0/DFF19g/vz5CAaDmDRpEtpt6LWVz4gIaG2FFOorJ4RQG4Xr1M1JdRZGFRXZXaO2YgWUNM46EQrUiEh3M0TgmmvQ8s9/WvaFQKedhpb77kPns89CkiS416yBb+zYmHFJW7ZE6qoVrWAwdamL6GnDqA0ZukLT2VmRztQnkJNag8wmW7equ+ejKAMHQmpo0C/mqigQO3cCaayNpfJytXCt2dtt3w65Vy9DgRpt3Wr8fokQWLAAco8ecJmYmVD69QM1NKDr669B06fH3ueePVBqagzflx2EEKCqKig5PPFOcWprr3/9618xv8+ePRu1tbVYsmQJjjvuOJtGlX8UWU6Y95dra+FubARCWbZ4pCjqTiGdQC2bGTWsXAn51FNhdmKSSktBUV9myTKC7v32y2BwGvdXUQFEvSf3zpkDnHrqvnGVl0PauhXBdILPQhIMAikK3pLLBREO1NrajK8jdNIaNVawIjMUV18d8/0kVVer9cp0engqwSBIiPQy+V5vZBOYqRPMxkY1W5YC9e0LbN5s+G598+dD/OlP6Hr6abhNjIf69wfeeANoaoJYtw6KokT+PcSuXWmVTMolIQTkwYMhrV2bVsCdjrz69mkOTdX1MLgNmKmUxkYocWdUqdLcyrZtUHr3TvqFQpWVarYjCxRFgbR6Neigg0zflkpL1U0QmTZ0z5DrnHPgjtpxKtfXAwhtTS/m6bBAwFgdtfD6LhMZtWyX5zDDyVM3LDPBpiaQLMMVtzNRhDZo6U2JyT/8ALl//7QCtWQnnalQY6PayzMFZdAgwMDUbWQ8b72Fjt//Hm6zG7769IHYtg1SSwukDRtivg9p504oeXB8lwcNAtauzdnj5U2gRkSYPn06JkyYgJEjRya9ns/nQ0tLS8xPsaPVqyGHantFLksx9al88AEC48Ylv88ePUC7dlk2xpjHVhSgowNSGjsyKXoLu9kzzyxSQjtBi14wqE5t6okuFmsiUBOcUWM5oLz+OnyTJycEW0IIdaZB75jzxRcIHH54+g+eRq0z2r7dUKBGAwdCbNhg6D5lWYb47jsgjVZPwu1WP1N790LasQNK9AaJNNr62UEeNAiUwxIdefPtc9111+Hrr7/GK6+8onu9mTNnoqamJvLTv3//HI3QwX74AXJcoJCqO4H44QfISaZFAbWJr0iziW8qis+n1uZJ4+BI0WvUHKRk6FA07dgBqakJcpYLBTsZBQIppz7Da9SICKKtzfZdn2ltJgBy0maN5ZaiKBBvvongmWcm/E0IAXnAAP2dn599BuWoo9J67LRPOrdtA+LW02nef3k50NVlaJG80tkJpbISrlSfZa3HCW38oaYmyIMGQdm0ad8f0+wWk2s0ZIixUiwWyYtA7Ve/+hXefvttfPzxx+jXr5/udW+77TY0NzdHfjZFvwmKFK1ZAyV+K3ldnX6gtXcvoLeoM4PecKnQmjUJW98NiysK6ZSMmhACLo8HJYsWAbNm2T0c2wgDddTI5QKFi8UGgxBGDgZOq6PGCpJ/7lwEBwyAO8n0nDxgQNLpQ9nvh/jhB4i42Q0zUvXJ1LR9e8LGBy2R3YyBQMrrKps3Q6mrS+v7VZIkKDU1kDZsQHDwYLVjS1gerFEDANTVQezYkbMTMUd/+xARrrvuOrzxxhv46KOPMNjAG9zr9aK6ujrmp5gREaS1a9UzgGg9egB79iS/4d69QGiXqOb9ZtIbLgWzraNibltaCuroiOxadaKsbsJwOiNTn6E1aqbWGWY7UHNIwM/sQ0SQXn4ZXXfckXyzwIEHAi+/DFmjRZL88cfwH3UUXKnWaCaR7kmn0CglokWSJAQPOMBYH8vNm9V6aOmMRwjI++0H6euvERw0CIheQtPYaGisdpNcLiDFekRLHy8nj5KmadOm4aWXXsLLL7+MqqoqNDY2orGxEZ1FPHVkVrhwrYhb5yOippe0biOam3Wb7IbfqNkI1MR330EZNiy9G5eV7St467B6PEIItF92GYRO/bqCZ3LqM1WhzgiHZdSc9L5jmZFD6yUVRQG6uuDSm2kYPx5KIIDg88/HXExEoJdeQuC88zIej5nvXEVR1MLfBovRBkeNAn3xRcrria1bIacZqAFA8IgjULJggbp2escOAKHjzpYthlpR2U2SJCgeD5QclQpzdKD2xBNPoLm5GRMnTkSfPn0iP3PnzrV7aHlDqzQHsK/fZbJADYGA7pST0TZUZhGRGqilseMTABCq3k1dXWqDdgcRQsD3xz9ChPqCFiUTddRMVSl3WmcCwNZdx8wafr8fLrcbiqJAbmyE3KOH7tpZl8eDjqeegnjttZhsi3/BAlBnJ6ShQ9MeixAidke0AWYr/csnnADxr3/B39qqXw9u82Ygg4CKJk1C1ymnIDh6dKRvJhEBXV2a3WScRggBeeBAQ50orODoQI1CgUT8z6WXXmr30PKGsnkzlPp67R1KLpfmegQiSpmNEkKA4nrD+TduRNcjj2Q2XkUBWloixXnNCu/6pOZmUGWl4zIbIqoWUjEio50JQnX8ABOBWpaIDNaoFevrXCjCwRYRAV99heCIESlv466qQnD//RH44gsE9+yB7847gd//Hp0PPphxJxQqLwcZLDSuyLLaPN7E7ndXr16Qq6vhqa5GQKemmtiyJe2pTwBweb0IvP46xCGHQKxaFSlr4vQ+n9HkQYMgL1uWk8fKj38Rlr7vv0dQ4yxOCAGlRw9QKO0cjWQ5ZVHGSHeDqA0JwdWrUXrjjRkNV2lrg+L1pv9hDbeQMtp6KMcivT+L9AAugkFQqoK3kgQhy8bbR0VumKV/UyON5DWQw04SWBr8/sj/0qJFujvhw4QQ8E2bBummm0BnnonOoUPRMXcu3BkukhdCmArU/A8+CNdRR+nWw4wnSRL8jz6KvU88AXr7bc3rEJHamcGCKUqpogII1b1Udu0C1dQ47uQ6mUD//ii7/HIEwxufsogDtQJHS5dqfrmEAy2torfKypWQhwxJ3XKkrg4Utas2vA4ikwWW9PXXCA4fnv6HNbxGrbXVeEX7HIpkMqMOAEXFRB01amqC0q2b7VOfkOXUY04YTn4cbFgKoTVIwY4OSO+9Bxo/3tDN3EOGoO3NN9H6xhtwnXsu3BYtw6DycsP9PsXevXB99RWCJpeRSC4XlFNPhZg3L3JCSUQIhFomERFEZyeEBSfCkiRBKSmB3N4OrFmTVn9nu1AOa2NyoFbAiAhi6VLQ6NGaf4/PiEVu95//6Ba7DZOHDIFYsybyuwidWWSSLaIlSxA0cNaaVFmZukatpQWKQwM1pVs3ULE2aA8GDU19kiwDTU0go1Pg2QzUjIyZFaZQ9iq4YgX848bBbWL9lLu8HCUWr7cyE6hR6LGDxxxj+nFcPXqAAgEEQxufupqaUNKz574lSLBmilIIAfmAA0ArVoBWroScwRq+XPMceCB8kyblZC0qB2oFTAkd7ESSg51SW5tQSy3Y1gb3ffdBPuKI1Pd/wAGgVav2XWCg/k5KS5YkDSyNoOpqdVdlaI2aE1FVFahId36SkRZS4c4Ee/ZAcUiglnIDRBLFOsVdKESoan7F0UcjkEYVfquZCdQgy2i+915IY8eafhxJktB11lmQX3hBvSB0Yunbvl09rsC6rHHg6KNBn34KLF4MZcwYS+4zF4QQajmoHFSh4ECtgAU//xyBQw+FK8lBRqmtVatWR99m3jy4Nm+GZKBpOQ0dCrF69b6DUYaBmizLENu2QaQoaqxHlJSoi9BbWhw59QmogZqyZElxHsRT7CYGsC9Q270b1L27obulbO76NDJdq3nDInx9C0x0zUPZAV1uTAVqLS1QJk5MO/NFP/kJpDfeQKCjA1LoxNJ19tkIfPWVepJvUaCmjB8P8cknEOvXA4MGWXKfuUKVlTk56eZArZC99hr8Z5+d9M9KXV1Cv0+xeTOaX345aXAXTaqsBNrb961Jy3BRpbx1K5SePTNKqUfKjrS0AA4tdixXVqLs4osRsCIDmW+MLMwP7fqkrVuhGKioDoCnPllWiFBRcP/48XAdf7zNozG+65OIIDU0gDIILl1eL7rOPhvynDnAnj1ovesudFx+OUpmzNDcoJYud00NAgMHInDAAWkXA7aLUlcH6OyOtQoHagUqGAhAfPUVhF4qWavfZ1OT4SyGJEmQ+/aFHG6ZEgo80s0U0cKF8B9xRMZnagSo2Zg0S3xkm+LQKdmcMBL0hDNqW7eCjJYACPUPzAYhy6anPiM1r1h+C7U38o8dm1ZfS6tReXlkOlb3ekRAayuEXnFeA+SLLoL7oYcg5syB0rcvlClTIC1bptY/s4gQAsH770fwvvvyZiNBWPCgg0BGOjlkiAO1AiV/8QUChx2me4YiKiuB0IdeDrfsMRGoCSEQOOoo0IIF6u8ZZNSICPj0U8hpLHyNHxMkSa1wXV+f0X1li1PXzuWEgUCNJEkN1LZtM15U02G7Pln+8zc0gHbuRNfppyMwbZrdw1FVVBjKqCk+H8jlMjQzosddUYHW556D3NUF5Ygj4K6sRMv//i+Ewd2vRkmSlDf106Ipw4YB332X9cfJv38ZZszf/w7/OefoXiV89qIoCjB8OLrefFPtu2ai3o88YQLw8ceRbgbpUhQFYs0aiHQ7EoRIkgSlWzdIq1c7tmdcuDVXvp09WsLIZoLQ1GeqNmYxnDj1KcS+5vIsr8iyDM+gQSh57jl03ncf3BkUd7UShTqvpKKsXg158GBLvmPco0cj8NxzcIfKUbj33x8uh3V9sQsdeGDsOu0s4UCtAAUDAYhvvoEYNUr3etFtpFyrV8P9979D7NqlNmw3SAwcCLFlC+SurozWqMm7dkGprlZ7iGZI6dUL0rp1ajFFB6KyMvV/ivEgbnAzAQWDAJHx94MkZe3L0tBOVa3blZRYsxOa5Vxw/XoERoxA25VXwuWkBe4VFZGSIXro228RTLdfsoaiPKk0QArV7cx2c3YO1AqQ/Nln8I8enXJhpiRJUEpLQaFdRCVz5wLBoKlgyeVywX/MMZA/+GDfGrU03rS0YAECRx1lyRdCYOJEBEaPdm4qPfy6RLXfKhoGe31SMGi8ITsAEW47lQ3BYHpN2d1uDtTyFP373+i8+mqIK690VJBC5eWR72td334L5eCDsz+gIhc+hioGu0Wk/ThZvXdmj7//HYEU055AqPhq795QonZ++saNMx3g+C+4AOKZZ0DhavvpHJw++SStwoxapJNPhv/llx31BRsjtAaQDExhFJxgEEiVUZMkiNZWUFmZ8ddQCIhsrlFLJ6Pmdhdn1rQQLFwIefx4532HVFZCpAjUiAjiu++gZLiMhKUWKdi7cmVWH4cDtQIQ2L0bvssvh6IoCPr9ECtWQBx6qKHbKrW1oK1bI7/7f/xj04/v7tcPcvfukBYvVqf1TAZqiqJAfP89MHy46cfWIlI0lLdbyaGHouOSS4ozo2akKbvLBWnrVij19aYCtWytUROynNbUJ9zufScvLG/IsgypoQFi8GC7h5IoVBJJj6IoQHs7JIeWJyo0gUMPBS1enNXH4ECtACgffQTPX/+K4LJlUD75BP4jjjBcj0bu1w9oaIj87k7jLEwIgc5bboH79dfV1LzPZ+r2ge+/h1xXl3c1dNIlhADV1AChGk1FxciuT68X0oYNkE3s2s1mwdt0pj4BqJlDnvrMO/KWLZB79rRkvazVqLzcUEaN8nQXZT5Sxo6F5/bbIWfxs86vZCHYuhVtv/416KWXgNmzEbjwQsM3pQMPBL7/PvJ7uh9ud79+aP7DHxA88EBDu5LCFFmGuOUWdF5/vaOzYFaT+/cHbdhg9zByLxBIPfVZUQFp3TrjxW6BrNZRozR3fRKvUctLNG8e/BMnOvP7qLQU6OrS3ThDbW3mlg2wjLj69weCQQQ3bszaY3CgVgh270bgpJPgeucdKJ2dkEzsUlIOOABi9WooPXqg9cYb0x6CEAKun/8c/uOOA23aZPh2/jlz4DvkELiLbOGr0r9/TCazaBhZ71VeDslMsVvAmeU5OKOWd4gImD8f8okn2j0UTUKSIjv1k1G2bYPSu3cOR1XcJElC+803A+HC79l4jKzdM8ud3bshevVC65NPonPmTFNZMammBmhtRXDMGAR/97uMhiGEgDxgABDdqF2Hf80aSC++iOANNxTd2R8NHFiUgZowsuszVFbFVMHibAdqaUyDcXmO/CMHAhC7dsHl0GLZhr4n581DYNy47A+GRcgDBgBr12bt/jlQKwRNTUDPnnCPGwe3yYbmkiRBqagAARlXsQYAefJkiFdfhSLL+tfr6gKuuQZtf/oT3OG6YkWE+vWD2LSp6Bqzk4GpTyovV/9rJqMWyjRkRZq7PuFy8a7PPKNs2IDgoEHOXt+lk1GTg0GI//1fyDo9npn1lEGDOFBjyRERxN696uL0NAgh0PXww+h4/HFrqlj36AH/uHHwv/RS0i8TRZYhX3MNOn/2s7Q2LxQCUVFRnLs+jWwmCAVywsyutSyuUUMgYLrXJwCe+sxDtGQJgiNG2D2MpIQQICTvpxxcuBCBQw+FO3Syw3KDhg2DWLEiayfeHKjlOSICiCAyyIa5evWC26JUvxACgenTgbffhv+aa+D/9ttIH1FFURBoakLw0kvhGzYM4sc/Lropzxgp1poUImEgUHO53Wi+7z5zGd5s9/pMoyE3bybILwG/H+If/4B8yil2DyUpIQSopASkcZJHRMCcOfBfeGFxf6/awFVZCWnDBnQtW5aV+y+OeggFjIhMVXDPBXdZGXzPPw9lyRJ4H3oI2LwZcmgqgQB0XH01XCed5Kgx51rRPncDU58ulwu49lpz95vNf0+/P+3NBFxHLT8EurpQUlaG9l/+0lkto+IIIaDU1kLauhU48MCYvymKArF+PUTc5Sz7JElC6+9+h4pbbgG9/77l3+8cqOW5cEbGaQd+SZIgjRuH4Nix8CtKZJySJMHt5PUfOaQ3hVGwZDmthfkpZTOjZqSkiAZyu9UMInM85euvETzgAPhvvRVuh32XxguOGAHX0qUJgVpw1SrIAwdastaYmSdOOw144QUoimL5a8BHzELg4Er8Qgi4XC643W643W5nL9LNofDrVUyBWniaPq3isalkczNBIBBZN2cKr1HLG/TZZ2i/8064e/WyeygpyWPGAF9+mfiHf/4TfgdP2xY6IQQ88+YhOH265ffNR808R4EAiIOfvOPUwDpvCaFm67Ihk4K3nFFzPCKC+OwzKEceafdQjBk5EuLLLxFoaopcpMgyxL/+BWXiRPvGVeQkScKeRx+F2LzZ+vu2/B5ZTlFrK6iigg/8+YgIlK2dig6WjfcqAdmd+uRenwVLlmWIpiZItbV2D8UQd2kpOq67Dsr990cuC3zwAQKHHQZ3VZWNI2P0ox+l7ByRDg7U8hw1N4MqK+0eBjNJCAEKtYNhFnDgGjWUlHBGLQ/ImzdD7t07v5ZlnHoqxBdfINjZCbmzE9If/wj/tdfyCbvNXGVlIFlGcPduS+83j96ZTItoawOFKrmz/EIVFaC2NruHkTORNWpZIFwuxwVq5HZD8Bo15/vss7yr5O9yu9H505+Czj8fytlno+PnP7esxBJLnyRJ6Dr/fCjPPmvp/Rbsrs/HHnsMjz32GORsrVtxCGpp4YxanqLyclBrq93DKAzZLHibZh013kyQJ/7zHygXXYS82yt5wQVor66GMmoU3P372z0aFqKcdRbE1KkIXnyxZfdZsBm1adOmYeXKlVi0aJHdQ8mu1lYO1PIUVVRAtLfbPYzCkMWpT5FmZwJyu9WWWcyxFEWBWL0alIe1xySXC66zz0bJgAE85ekgbq8XnT/9KeTnn7fsPgs2UCsaHKjlLSovL6qpz7CsHFSyGKgZ6U+qRXBGzdGICP7du6GUlcGVTsaUsSTo/PNBFiaJOFDLd62tIN7pk5eotBTw+eweRs6Eu2hkRRYXgosM1qhxoOZcga++QmltLQJHHMEZKWYpl8eD1lmzLLu/gl2jVjRaWkADBtg9CpYOjweiiAK1rMrmGrU066jxrk+HmzsXu//+d7gmTsy/9WnM8dzpfGckwRm1fNfaCnBGLS+Rx6PZXJmlIZvlOYLB9DcTcB01R1IUBfjiC4gTToCrtNTu4bACZGUbKc6o5TniQC1/eb1FeSDPtzVqafcn5TVqjtW1cCEwaBDcHo/dQ2EFysrvOc6o5TnR1sabCfIUFdnUZzb7mlKWArXImNP40uUWUs4kyzLKjz8eXZMm8do0lhc4o5bvOKOWt8jjAXV22j2MwiAEhNPacXGg5khKWxsCZ54J1+TJdg+FMUM4o5bHiAiCy3PkLVFkuz4BZG96MptTn0hvGkN4PEU5te109O23kIcNy6+WUayo8Ts13wWD6gGB5R0q0gN53q1RSxOX53Am+uorBA8+2O5hMGYYB2p5LJu9E1n2kcdTVE3Zs/p+zeYatXTvl8tzONPXX0MZOdLuUTBmGAdqBYAXxOanopv6lOXsFaaVJMedtJDbXZQZUydTFAVi7Vpg//3tHgpjhnGglseICCQEB2p5quimPn0+kNebvalPRcnaztK016hxRs1R5M5OkNsNycJipIxlGwdqeSyb5Q5YDni9xTX12dWlts3KhixOfaZ9r7zr03HC69N4IwHLJ/xuzWeKopYl4IxafvJ6i2vqs6tLfc7Z4NDNBKKYMqZ5gD77DMGxY+0eBmOmcKCWx6itDVRWZvcwWJrI4ymuA3lXlzrdmw1ZXqOW1slQaan6nB0WQBYrIoJYsADyMcfYPRTGTOFALY9RSwuoqoozanlKlJaCiiyjlm9Tnxlxu503piIm+3ygzk64unWzeyiMmcKBWj5raYHCxW7zVrG1kILPl92pzyzIpDwHn0A5i/LllwiOGsXr01je4XdsPuOuBPkttEataKbGurpA2QrUnCqLO1GZOfTBB/Afd5zdw2DMNA7U8tmePSBO4+cvl0vdEFIs8jhQ4+xYfiMiiC+/BB1xhN1DYcw0DtTy2a5dUHr0sHsULE1Fd/DP5q7PLCFZTntaVQiRtSlZZk6wuRmKywU3b75ieYgDtTxGO3eCOFDLb0TFMzUWKnibV0IbINIOqovp9XUw5ZNPEDjqqOI7OWIFgQO1fLZrF6hnT7tHwdJUdBmXLE59ZusATO3taZfA4aDAQebNQ3DiRLtHwVhaOFDLZ01NQK9edo+CZYBQRB0msj31mY1/x/Z2UHl52jcnIYrn9XWoYGcnxPffQ3AjdpanOFDLY2LXLp76zGPFlnGhzk61CGw+6ejIKFCDEGozemYLIoL829+i82c/g4v7e7I8xYFaniIioLMToqLC7qGwDBVNxiXba9SyEfh2dGQ09UmlpaCODosHxYwgIvgWLwatWwf85Cd2D4extPEpRp5SFAVQlKLLyhSSyGtXLCU6urryLqNGbW1pZ9SEEGqQ19EBdO9u8ciYHiKC7+uvIU2fjvZnnoGbi9yyPMaBWp4iRQFxQ/a8R+XloPZ2IFs9MJ0kD8tzYM8eUE0N0v2UUVkZZ9SyhIgQ2LgRrj59INxuyM3NoP/+F/T55xBLl0L4/Wh/6im499vP7qEylhEO1PKUsm0blF69uB1KHhNCgCoqgLa2osi4ULYL3oZKYVh68hIqKp12oFZaCnR2WjeeIiHLMpRzz4X05ptwuVxQFCXmu46I4HvtNUh/+QuUQABUUQGlogLBUaMQGDsWdOWVcFVVcSaNFYS8CNQef/xx/OlPf8K2bdswYsQIPPLIIzj22GPtHpa9NmyA3L+/3aNgGaKKClBrq93DyAnR3AzU1Ng9DHP27gUdcED6ty8rA9rbrRtPkVAUBSX/93/wyzKoqws49lj4//xnSF4vaPFiiIULga4utM+dC5JliPJyuNxuCCHy46DGmAmOP92YO3cubrjhBtxxxx1YtmwZjj32WJx++unYuHGj3UOzFX33HeQhQ+weBssQVVQAxRKo7d6df3X/du0CZZDtVGprQdu2WTig4kBdXQCA4AcfQPn5z9ExZQowcyYCf/0rujwetN98M3zPPw93ZSVKamrgLinhZSCsYDn+5GPWrFm44oor8Itf/AIA8Mgjj2DevHl44oknMHPmTJtHZw8iAhYuhHLTTc6PtJmuYsmoERHQ1ZW1XcpCiOxsymhoAAYNSvvmSp8+wJYt1o2ngBERZJ8PyqefAk8+ieBBB4HefRftN98M1/Dh8EN9nSXkQYaBMQs5OlDz+/1YsmQJbr311pjLJ02ahM8++0zzNj6fDz6fL/J7c3MzAODjG25ARbYXbKdTZiHN24hVq9C6fj3Ehg3mb88cw7N9O7wPPwzltdfsHkrWSVu3ovmTT7K2rrJyzx7Qtddaep/SihVoXr487TGLzk5UPvsslBUrtK8Q/vxrfQ+kuExE/93o/WhdLxu3MXMZESDLENu2AX4/AgcdhK7Jk0GXXKIG4Nu3qz+M5ZGO0CYiS8ovkYNt2bKFANB//vOfmMtnzJhBBx54oOZt7rrrLkKo4Dv/8A//8A//8A//8I9dP2vXrs04FnJ0Ri0sfu0B6ezsuu222zB9+vTI73v37sXAgQOxceNG1ORgIfO4ceOwaNGirD9OS0sL+vfvj02bNqG6ujrrj5er5wUU7nPj52UNfl6ZK9Tnxs/LGvy8Mtfc3IwBAwaghwXdgxwdqPXq1QsulwuNjY0xl+/YsQN1dXWat/F6vfBqlACoqanJyRvB5XLl5HHCqqurC/J5AYX73Ph5ZYafl3UK9bnx88oMPy/rWLHUw9FrMj0eDw4//HDMnz8/5vL58+dj/PjxNo1K37Rp0+weQlYU6vMCCve58fPKL4X6vIDCfW78vPJLvj4vQeTsRoNz587Fz3/+czz55JM4+uij8fTTT+OZZ57BihUrMHDgwJS3b2lpQU1NDZqbm3MeSWdToT4voHCfGz+v/FKozwso3OfGzyu/FOrzAqx9bo6e+gSA888/H7t378a9996Lbdu2YeTIkXj33XcNBWmAOhV61113aU6H5rNCfV5A4T43fl75pVCfF1C4z42fV34p1OcFWPvcHJ9RY4wxxhgrVo5eo8YYY4wxVsw4UGOMMcYYcygO1BhjjDHGHIoDNcYYY4wxhyroQG3GjBkYP348ysvL0a1bN83rbNy4EWeddRYqKirQq1cv/PrXv4bf78/tQC2wevVqTJkyBb169UJ1dTWOOeYYfPzxx3YPyxLvvPMOjjzySJSVlaFXr16YOnWq3UOyjM/nw6hRoyCEwPLly+0eTkY2bNiAK664AoMHD0ZZWRn2339/3HXXXXn5eQKAxx9/HIMHD0ZpaSkOP/xw/Pvf/7Z7SBmZOXMmxo0bh6qqKtTW1uKcc87BqlWr7B6W5WbOnAkhBG644Qa7h2KJLVu24KKLLkLPnj1RXl6OUaNGYcmSJXYPKyPBYBC//e1vI98VQ4YMwb333gtFUewemikLFizAWWedhb59+0IIgbfeeivm70SEu+++G3379kVZWRkmTpyIFcn6/uoo6EDN7/fjvPPOwzXXXKP5d1mWccYZZ6C9vR0LFy7Eq6++itdffx2/+c1vcjzSzJ1xxhkIBoP46KOPsGTJEowaNQpnnnlmQleHfPP666/j5z//OS677DJ89dVX+M9//oOf/exndg/LMjfffDP69u1r9zAs8f3330NRFDz11FNYsWIFHn74YTz55JO4/fbb7R6aaXPnzsUNN9yAO+64A8uWLcOxxx6L008/HRs3brR7aGn79NNPMW3aNHzxxReYP38+gsEgJk2ahPb2druHZplFixbh6aefxqGHHmr3UCyxZ88eHHPMMSgpKcF7772HlStX4qGHHkqaeMgX999/P5588kk8+uij+O677/DAAw/gT3/6E/7yl7/YPTRT2tvbcdhhh+HRRx/V/PsDDzyAWbNm4dFHH8WiRYtQX1+PU045Ba2treYeKONuoXlg9uzZVFNTk3D5u+++S5Ik0ZYtWyKXvfLKK+T1eqm5uTmHI8zMzp07CQAtWLAgcllLSwsBoA8++MDGkWUmEAjQfvvtR88++6zdQ8mKd999l4YNG0YrVqwgALRs2TK7h2S5Bx54gAYPHmz3MEw74ogj6Oqrr465bNiwYXTrrbfaNCLr7dixgwDQp59+avdQLNHa2koHHHAAzZ8/n44//ni6/vrr7R5Sxm655RaaMGGC3cOw3BlnnEGXX355zGVTp06liy66yKYRZQ4Avfnmm5HfFUWh+vp6uu+++yKXdXV1UU1NDT355JOm7rugM2qpfP755xg5cmRMRuPUU0+Fz+fLq9Ryz549cfDBB2POnDlob29HMBjEU089hbq6Ohx++OF2Dy9tS5cuxZYtWyBJEkaPHo0+ffrg9NNPTyt17DTbt2/HlVdeib/+9a8oLy+3ezhZ09zcbElT4lzy+/1YsmQJJk2aFHP5pEmT8Nlnn9k0Kus1NzcDQN69PslMmzYNZ5xxBk4++WS7h2KZt99+G2PHjsV5552H2tpajB49Gs8884zdw8rYhAkT8OGHH2L16tUAgK+++goLFy7E5MmTbR6ZddavX4/GxsaY7xGv14vjjz/e9PeI4zsTZFNjY2NCc/fu3bvD4/Hk1ZShEALz58/HlClTUFVVBUmSUFdXh3/96195nSJft24dAODuu+/GrFmzMGjQIDz00EM4/vjjsXr16rw9wBARLr30Ulx99dUYO3YsNmzYYPeQsmLt2rX4y1/+goceesjuoZiya9cuyLKc8N1QV1eXV98LeogI06dPx4QJEzBy5Ei7h5OxV199FUuXLsWiRYvsHoql1q1bhyeeeALTp0/H7bffji+//BK//vWv4fV6cfHFF9s9vLTdcsstaG5uxrBhw+ByuSDLMmbMmIELLrjA7qFZJvxdofU90tDQYOq+8i6jdvfdd0MIofuzePFiw/cnhEi4jIg0L881o8+ViHDttdeitrYW//73v/Hll19iypQpOPPMM7Ft2za7n0YCo88rvLD0jjvuwI9+9CMcfvjhmD17NoQQ+Mc//mHzs0hk9Hn95S9/QUtLC2677Ta7h2xIOp+5rVu34rTTTsN5552HX/ziFzaNPDPx3wFO+V6wwnXXXYevv/4ar7zyit1DydimTZtw/fXX46WXXkJpaandw7GUoigYM2YM/vjHP2L06NG46qqrcOWVV+KJJ56we2gZmTt3Ll566SW8/PLLWLp0KV588UU8+OCDePHFF+0emuWs+B7Ju4zaddddh5/+9Ke61xk0aJCh+6qvr8d///vfmMv27NmDQCCQEAXbwehz/eijj/DPf/4Te/bsiTR/ffzxxzF//ny8+OKLuPXWW3MxXMOMPq/wgsvhw4dHLvd6vRgyZIgjF3UbfV5/+MMf8MUXXyT0gBs7diwuvPBCx31Zmf3Mbd26FSeccAKOPvpoPP3001kenfV69eoFl8uVkD3bsWOHI74XMvWrX/0Kb7/9NhYsWIB+/frZPZyMLVmyBDt27IhZ5iHLMhYsWIBHH30UPp8PLpfLxhGmr0+fPjHffwBw8MEH4/XXX7dpRNb4f//v/+HWW2+NfK8ccsghaGhowMyZM3HJJZfYPDpr1NfXA1Aza3369Ilcns73SN4Far169UKvXr0sua+jjz4aM2bMwLZt2yL/kO+//z68Xq8j1nYZfa4dHR0AAEmKTZBKkuTI7c5Gn9fhhx8Or9eLVatWYcKECQCAQCCADRs2YODAgdkepmlGn9ef//xn/OEPf4j8vnXrVpx66qmYO3cujjzyyGwOMS1mPnNbtmzBCSecEMl+xr8n84HH48Hhhx+O+fPn49xzz41cHl5ekK+ICL/61a/w5ptv4pNPPsHgwYPtHpIlTjrpJHzzzTcxl1122WUYNmwYbrnllrwN0gDgmGOOSSihsnr1akd+/5nR0dGR8N3gcrkcebxK1+DBg1FfX4/58+dj9OjRANT1r59++inuv/9+c3eW8VYHB2toaKBly5bRPffcQ5WVlbRs2TJatmwZtba2EhFRMBikkSNH0kknnURLly6lDz74gPr160fXXXedzSM3Z+fOndSzZ0+aOnUqLV++nFatWkU33XQTlZSU0PLly+0eXkauv/562m+//WjevHn0/fff0xVXXEG1tbXU1NRk99Ass379+oLY9bllyxYaOnQonXjiibR582batm1b5CffvPrqq1RSUkLPPfccrVy5km644QaqqKigDRs22D20tF1zzTVUU1NDn3zyScxr09HRYffQLFcouz6//PJLcrvdNGPGDFqzZg397W9/o/LycnrppZfsHlpGLrnkEtpvv/3on//8J61fv57eeOMN6tWrF9188812D82U1tbWSFwBgGbNmkXLli2jhoYGIiK67777qKamht544w365ptv6IILLqA+ffpQS0uLqccp6EDtkksuIQAJPx9//HHkOg0NDXTGGWdQWVkZ9ejRg6677jrq6uqyb9BpWrRoEU2aNIl69OhBVVVVdNRRR9G7775r97Ay5vf76Te/+Q3V1tZSVVUVnXzyyfTtt9/aPSxLFUqgNnv2bM3PW76eDz722GM0cOBA8ng8NGbMmLwvY5HstZk9e7bdQ7NcoQRqRET/93//RyNHjiSv10vDhg2jp59+2u4hZaylpYWuv/56GjBgAJWWltKQIUPojjvuIJ/PZ/fQTPn44481P1OXXHIJEaklOu666y6qr68nr9dLxx13HH3zzTemH0cQEaWf3GOMMcYYY9mSfwtIGGOMMcaKBAdqjDHGGGMOxYEaY4wxxphDcaDGGGOMMeZQHKgxxhhjjDkUB2qMMcYYYw7FgRpjjDHGmENxoMYYY4wx5lAcqDHGGGOMORQHaowxlqaJEydCCAEhBJYvX275/V966aWR+3/rrbcsv3/GmPNxoMYYc6TjjjsuEqRE/1x44YWOeowrr7wS27Ztw8iRIw1d/6yzzsLJJ5+s+bfPP/8cQggsXboUAPA///M/2LZtm+GxMMYKj9vuATDGWDwiwvLly/Hggw8mBE2VlZWOeozy8nLU19cbvv4VV1yBqVOnoqGhAQMHDoz52/PPP49Ro0ZhzJgxAICamhrU1NQYvm/GWOHhjBpjzHHWrFmD1tZWHHfccaivr4/5sSpQy+ZjEBEeeOABDBkyBGVlZTjssMPw2muvAQDOPPNM1NbW4oUXXoi5TUdHB+bOnYsrrrgio8dmjBUWDtQYY46zZMkSuN1uHHrooXn5GL/97W8xe/ZsPPHEE1ixYgVuvPFGXHTRRfj000/hdrtx8cUX44UXXgARRW7zj3/8A36/39KpXcZY/uNAjTHmOEuXLoUsy+jZsycqKysjP1deeWXOH+PSSy/FiBEjMHPmTEP3297ejlmzZuH555/HqaeeiiFDhuDSSy/FRRddhKeeegoAcPnll2PDhg345JNPIrd7/vnnMXXqVHTv3t2y58gYy3+8Ro0x5jhLlizBeeedhxkzZsRcrhXE3H333bjnnnt072/RokUYO3as6cf46quvsH37dqxYscLw2FeuXImuri6ccsopMZf7/X6MHj0aADBs2DCMHz8ezz//PE444QSsXbsW//73v/H+++8bfhzGWHHgQI0x5jjLli3Dvffei6FDh6a87nXXXYef/vSnutcZNGiQ6cdYuXIlJk+eDCEEjjvuOCxYsMDQ2BVFAQC888472G+//WL+5vV6I/9/xRVX4LrrrsNjjz2G2bNnY+DAgTjppJMMPQZjrHhwoMYYc5R169Zh7969kexTKr169UKvXr0sf4zhw4fjJz/5CY477jice+65hu97+PDh8Hq92LhxI44//vik1/vJT36C66+/Hi+//DJefPFFXHnllRBCmHoejLHCx4EaY8xRlixZAgCoq6tDY2NjzN9qa2shSZkvrTX6GN988w2uvfZaU/ddVVWFm266CTfeeCMURcGECRPQ0tKCzz77DJWVlbjkkksAqCVAzj//fNx+++1obm7GpZdemvHzYowVHg7UGGOOEi72euCBB8ZcXlJSgtbW1pjpw2w/xtq1a7H//vubvv/f//73qK2txcyZM7Fu3Tp069YNY8aMwe233x5zvSuuuALPPfccJk2ahAEDBqT5bBhjhUxQ9P5wxhhjAICdO3fi9NNPx+LFi5NeZ+LEiRg1ahQeeeSRrI5FCIE333wT55xzTlYfhzHmPFyegzHGNHzzzTcYMWJEyus9/vjjqKysxDfffGP5GK6++mrLCvwyxvITZ9QYYyxNW7ZsQWdnJwBgwIAB8Hg8lt7/jh070NLSAgDo06cPKioqLL1/xpjzcaDGGGOMMeZQPPXJGGOMMeZQHKgxxhhjjDkUB2qMMcYYYw7FgRpjjDHGmENxoMYYY4wx5lAcqDHGGGOMORQHaowxxhhjDsWBGmOMMcaYQ3GgxhhjjDHmUByoMcYYY4w51P8HVS0edltIp98AAAAASUVORK5CYII=", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "calc.plot_BS(efrom=-5, eto=5)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "efermi 6.93\n", "-------------BANDS---------------\n", "band 8 eV from -0.18 to 1.15 eV-eF from -7.10 to -5.77\n", "band 9 eV from -0.06 to 1.46 eV-eF from -6.99 to -5.47\n", "band 10 eV from 1.13 to 2.96 eV-eF from -5.79 to -3.96\n", "band 11 eV from 1.45 to 3.08 eV-eF from -5.48 to -3.84\n", "band 12 eV from 1.83 to 3.12 eV-eF from -5.09 to -3.81\n", "band 13 eV from 5.27 to 5.68 eV-eF from -1.66 to -1.25\n", "band 14 eV from 5.36 to 6.02 eV-eF from -1.57 to -0.91\n", "band 15 eV from 5.94 to 6.15 eV-eF from -0.98 to -0.77\n", "band 16 eV from 6.97 to 7.49 eV-eF from 0.05 to 0.56\n", "band 17 eV from 7.11 to 7.56 eV-eF from 0.18 to 0.63\n", "band 18 eV from 10.16 to 12.84 eV-eF from 3.23 to 5.91\n", "band 19 eV from 11.31 to 13.99 eV-eF from 4.39 to 7.07\n", "band 20 eV from 12.07 to 14.61 eV-eF from 5.14 to 7.69\n" ] } ], "source": [ "calc.print_bands_range(7, 20)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "FeCl23D.pdos_atm#1(Fe)_wfc#4(d)\n", "FeCl23D.pdos_atm#1(Fe)_wfc#3(p)\n", "FeCl23D.pdos_atm#3(Cl)_wfc#1(s)\n", "FeCl23D.pdos_atm#3(Cl)_wfc#2(p)\n", "FeCl23D.pdos_atm#2(Cl)_wfc#1(s)\n", "FeCl23D.pdos_atm#1(Fe)_wfc#2(s)\n", "FeCl23D.pdos_atm#1(Fe)_wfc#1(s)\n", "FeCl23D.pdos_atm#2(Cl)_wfc#2(p)\n" ] } ], "source": [ "calc.get_pDOS()" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "calc.plot_pDOS('1', efrom=-10, eto=10, yto=10)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "calc.plot_pDOS('2', efrom=-10, eto=10, yto=10)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Wannier bands" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "nwa 5\n", "Rpts 4391\n", "we have 3D hamiltonian\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 119/119 [00:02<00:00, 44.32it/s]\n" ] } ], "source": [ "calc.load_wannier(kpath_filename='kpath_qe2.dat', wannier_hr_name='FeCl2_hr.dat')" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#interpolate the bands, on the plot bolds are interpolated wannier bands\n", "calc.plot_wannier_BS(efrom=-5, eto=5)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "nwa 5\n", "Rpts 4391\n", "we have 3D hamiltonian\n" ] } ], "source": [ "#now we want to plot the wannier bands on several BZ (normally you don't need to do this)\n", "# for 3D plot of isosurfaces \n", "\n", "loader = wnldr.Wannier_loader_PM('FeCl2_hr.dat', wannier_dir='wannier')\n", "\n", "acell = np.linalg.norm(calc.acell[0]) # AA\n", "b1 = calc.bcell[0][:3] / (2. * np.pi / acell) # First reciprocal lattice vector in units of 2pi/a\n", "b2 = calc.bcell[1][:3] / (2. * np.pi / acell) # Second reciprocal lattice vector in units of 2pi/a\n", "b3 = calc.bcell[2][:3] / (2. * np.pi / acell) # Third reciprocal lattice vector in units of 2pi/a\n" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 8000/8000 [03:14<00:00, 41.19it/s]\n" ] } ], "source": [ "klim = 1.0 # want to have data in range [-1, 1] (in units of 2pi/a)\n", "nkpt = 10\n", "\n", "bs, _ = loader.get_dense_hk_symmetric(nkpt=nkpt, krange=klim, find_eigsQ=True)\n" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [], "source": [ "band_str = bs[:,:,0] " ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [], "source": [ "\n", "\n", "# k fractional\n", "crystal_coords = np.mgrid[-klim:klim:1.0/nkpt, -klim:klim:1.0/nkpt, -klim:klim:1.0/nkpt].reshape(3,-1).T # repr cart in 2 pi / alat\n", "crystal_coords = np.array(crystal_coords)\n", "kx_cryst = crystal_coords[:, 0] \n", "ky_cryst = crystal_coords[:, 1] \n", "kz_cryst = crystal_coords[:, 2] \n", "\n", "\n", "B = np.array([b1, b2, b3]).T # Reciprocal lattice basis\n", "\n", "cart_coords = np.dot(crystal_coords, B.T) #np.dot(B, crystal_coords.T) \n", "# k cart (2 pi / alat)\n", "kx_cart = cart_coords[:, 0] \n", "ky_cart = cart_coords[:, 1] \n", "kz_cart = cart_coords[:, 2] \n" ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.010464166457450297 0.560452231777461\n" ] } ], "source": [ "\n", "z = np.real(band_str[ 3, :] - calc.efermi ) # 3th band for example\n", "print(np.min(z), np.max(z) ) # check that fermi level is in the middle of the band " ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [], "source": [ "from scipy.interpolate import Rbf\n", "\n", "\n", "# Create the RBF interpolator\n", "rbf = Rbf(kx_cart, ky_cart, kz_cart, z, function='linear')\n", "\n", "# Interpolate the values on the regular grid\n", "# here _cryst coords stand for regular meshes in cartesian coordinates just because grid is the same\n", "bs_cart_grid = rbf(kx_cryst, ky_cryst, kz_cryst) \n" ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [], "source": [ "\n", "\n", "def get_brillouin_zone_3d(cell):\n", " \"\"\"\n", " Uses the k-space vectors and voronoi analysis to define\n", " the BZ of the system\n", "\n", " Args:\n", " cell: a 3x3 matrix defining the basis vectors in\n", " reciprocal space\n", "\n", " Returns:\n", " vor.vertices[bz_vertices]: vertices of BZ\n", " bz_ridges: edges of the BZ\n", " bz_facets: BZ facets\n", "\n", " \"\"\"\n", "\n", " px, py, pz = np.tensordot(cell, np.mgrid[-1:2, -1:2, -1:2], axes=[0, 0])\n", " points = np.c_[px.ravel(), py.ravel(), pz.ravel()]\n", "\n", " from scipy.spatial import Voronoi\n", "\n", " vor = Voronoi(points)\n", "\n", " bz_facets = []\n", " bz_ridges = []\n", " bz_vertices = []\n", "\n", " for pid, rid in zip(vor.ridge_points, vor.ridge_vertices):\n", "\n", " if pid[0] == 13 or pid[1] == 13:\n", " bz_ridges.append(vor.vertices[np.r_[rid, [rid[0]]]])\n", " bz_facets.append(vor.vertices[rid])\n", " bz_vertices += rid\n", "\n", " bz_vertices = list(set(bz_vertices))\n", "\n", " return vor.vertices[bz_vertices], bz_ridges, bz_facets\n", "\n" ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "caps": { "x": { "show": false }, "y": { "show": false } }, "isomax": 0.4, "isomin": 0.2, "type": "isosurface", "value": [ 0.19900831150411058, 0.17527227225424902, 0.14462055191510803, 0.12469464478033121, 0.13511128946981987, 0.1559767315819509, 0.17944497720956143, 0.19736357483766476, 0.20318828298701774, 0.19468562032617598, 0.17501813337053695, 0.1514286945021901, 0.1322039739293821, 0.12371616853412704, 0.12868433039203708, 0.14628049849298552, 0.18397121518289872, 0.21721896901495086, 0.23732082309986335, 0.2481194772106603, 0.2482460625672318, 0.24206842817353857, 0.23190799634607195, 0.22729503364615322, 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"standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 }, "yaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 } } }, "title": { "text": "3D Brillouin Zone" } } } }, "metadata": {}, "output_type": "display_data" } ], "source": [ "vv = bs_cart_grid.flatten()\n", "\n", "fig = go.Figure()\n", "\n", "fig = go.Figure(data=go.Isosurface(\n", " x=kx_cryst,\n", " y=ky_cryst,\n", " z=kz_cryst,\n", " value=vv,\n", " isomin=0.2,\n", " isomax=0.4,\n", " # surface_count=5, # number of isosurfaces, 2 by default: only min and max\n", " caps=dict(x_show=False, y_show=False)\n", " ))\n", "\n", "\n", "fig.add_trace(go.Scatter3d(\n", " x=[0, b1[0], b2[0], b3[0]],\n", " y=[0, b1[1], b2[1], b3[1]],\n", " z=[0, b1[2], b2[2], b3[2]],\n", " mode='markers+text',\n", " marker=dict(size=5),\n", " text=['Origin', 'b1', 'b2', 'b3'],\n", " textposition='top center'\n", "))\n", "\n", "# Add arrows for each basis vector\n", "for b in [b1, b2, b3]:\n", " fig.add_trace(go.Scatter3d(\n", " x=[0, b[0]],\n", " y=[0, b[1]],\n", " z=[0, b[2]],\n", " mode='lines',\n", " line=dict(color='green', width=5),\n", " showlegend=False\n", " ))\n", "\n", "vertices, ridges, _ = get_brillouin_zone_3d(calc.bcell/ (2. * np.pi / acell))\n", "\n", "# Plot vertices\n", "fig.add_trace(go.Scatter3d(\n", " x=vertices[:, 0], y=vertices[:, 1], z=vertices[:, 2],\n", " mode='markers',\n", " marker=dict(size=5, color='red'),\n", " name='Vertices',\n", " showlegend=False\n", "))\n", "\n", "# Plot edges\n", "for ridge in ridges:\n", " # points = vertices[ridge]\n", "\n", " fig.add_trace(go.Scatter3d(\n", " x=ridge[:, 0], y=ridge[:, 1], z=ridge[:, 2],\n", " mode='lines',\n", " line=dict(color='black', width=2),\n", " name='Edges',\n", " showlegend=False\n", " ))\n", "\n", "# Show figure\n", "fig.update_layout(\n", " title='3D Brillouin Zone',\n", " scene=dict(\n", " xaxis_title='kx',\n", " yaxis_title='ky',\n", " zaxis_title='kz'\n", " )\n", ")\n", "\n", "fig.show()" ] }, { "attachments": { "image.png": { "image/png": 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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "![image.png](attachment:image.png)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "triqs", "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": "3.12.5" } }, "nbformat": 4, "nbformat_minor": 2 }