diff --git a/20230509_Data_Analysis.ipynb b/20230509_Data_Analysis.ipynb index eef41a0..92f52ab 100644 --- a/20230509_Data_Analysis.ipynb +++ b/20230509_Data_Analysis.ipynb @@ -15,9 +15,12 @@ "outputs": [], "source": [ "import xarray as xr\n", + "import pandas as pd\n", "import numpy as np\n", "import copy\n", "\n", + "import xrft\n", + "\n", "from uncertainties import ufloat\n", "from uncertainties import unumpy as unp\n", "from uncertainties import umath\n", @@ -50,6 +53,16 @@ "execution_count": 2, "metadata": {}, "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "D:\\Program Files\\Python\\Python38\\Lib\\site-packages\\distributed\\node.py:182: UserWarning: Port 8787 is already in use.\n", + "Perhaps you already have a cluster running?\n", + "Hosting the HTTP server on port 65030 instead\n", + " warnings.warn(\n" + ] + }, { "data": { "text/html": [ @@ -57,7 +70,7 @@ "
\n", "
\n", "

Client

\n", - "

Client-1ad26782-f4a3-11ed-8014-80e82ce2fa8e

\n", + "

Client-06ca1baa-f5d4-11ed-9390-9c7bef43b4fb

\n", " \n", "\n", " \n", @@ -70,7 +83,7 @@ " \n", " \n", " \n", " \n", " \n", @@ -79,6 +92,10 @@ "
\n", - " Dashboard: http://127.0.0.1:8787/status\n", + " Dashboard: http://127.0.0.1:65030/status\n", "
\n", "\n", " \n", + " \n", + " \n", "\n", " \n", "
\n", @@ -88,22 +105,22 @@ "
\n", "
\n", "

LocalCluster

\n", - "

39ebed45

\n", + "

e8410166

\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", @@ -125,22 +142,22 @@ "
\n", "
\n", "

Scheduler

\n", - "

Scheduler-5010ee37-2d62-418f-908a-3d869cf85668

\n", + "

Scheduler-c2d7c34b-da7d-4218-ac9a-8a33f289f15b

\n", "
\n", - " Dashboard: http://127.0.0.1:8787/status\n", + " Dashboard: http://127.0.0.1:65030/status\n", " \n", - " Workers: 14\n", + " Workers: 6\n", "
\n", - " Total threads: 56\n", + " Total threads: 24\n", " \n", - " Total memory: 782.31 GiB\n", + " Total memory: 55.88 GiB\n", "
\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", @@ -148,7 +165,7 @@ " Started: Just now\n", " \n", " \n", " \n", "
\n", - " Comm: tcp://127.0.0.1:54873\n", + " Comm: tcp://127.0.0.1:65031\n", " \n", - " Workers: 14\n", + " Workers: 6\n", "
\n", - " Dashboard: http://127.0.0.1:8787/status\n", + " Dashboard: http://127.0.0.1:65030/status\n", " \n", - " Total threads: 56\n", + " Total threads: 24\n", "
\n", - " Total memory: 782.31 GiB\n", + " Total memory: 55.88 GiB\n", "
\n", @@ -171,7 +188,7 @@ " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "\n", @@ -216,7 +233,7 @@ "
\n", - " Comm: tcp://127.0.0.1:54920\n", + " Comm: tcp://127.0.0.1:65062\n", " \n", " Total threads: 4\n", @@ -179,21 +196,21 @@ "
\n", - " Dashboard: http://127.0.0.1:54937/status\n", + " Dashboard: http://127.0.0.1:65067/status\n", " \n", - " Memory: 55.88 GiB\n", + " Memory: 9.31 GiB\n", "
\n", - " Nanny: tcp://127.0.0.1:54877\n", + " Nanny: tcp://127.0.0.1:65034\n", "
\n", - " Local directory: C:\\Users\\data\\AppData\\Local\\Temp\\dask-worker-space\\worker-6k5w8crs\n", + " Local directory: C:\\Users\\Jianshun Gao\\AppData\\Local\\Temp\\dask-worker-space\\worker-v4ohhhqe\n", "
\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "\n", @@ -261,7 +278,7 @@ "
\n", - " Comm: tcp://127.0.0.1:54966\n", + " Comm: tcp://127.0.0.1:65066\n", " \n", " Total threads: 4\n", @@ -224,21 +241,21 @@ "
\n", - " Dashboard: http://127.0.0.1:54967/status\n", + " Dashboard: http://127.0.0.1:65077/status\n", " \n", - " Memory: 55.88 GiB\n", + " Memory: 9.31 GiB\n", "
\n", - " Nanny: tcp://127.0.0.1:54878\n", + " Nanny: tcp://127.0.0.1:65035\n", "
\n", - " Local directory: C:\\Users\\data\\AppData\\Local\\Temp\\dask-worker-space\\worker-_7zysh1d\n", + " Local directory: C:\\Users\\Jianshun Gao\\AppData\\Local\\Temp\\dask-worker-space\\worker-b3vo1gqh\n", "
\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "\n", @@ -306,7 +323,7 @@ "
\n", - " Comm: tcp://127.0.0.1:54952\n", + " Comm: tcp://127.0.0.1:65064\n", " \n", " Total threads: 4\n", @@ -269,21 +286,21 @@ "
\n", - " Dashboard: http://127.0.0.1:54955/status\n", + " Dashboard: http://127.0.0.1:65075/status\n", " \n", - " Memory: 55.88 GiB\n", + " Memory: 9.31 GiB\n", "
\n", - " Nanny: tcp://127.0.0.1:54879\n", + " Nanny: tcp://127.0.0.1:65036\n", "
\n", - " Local directory: C:\\Users\\data\\AppData\\Local\\Temp\\dask-worker-space\\worker-pivw5um_\n", + " Local directory: C:\\Users\\Jianshun Gao\\AppData\\Local\\Temp\\dask-worker-space\\worker-65l26hd_\n", "
\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "\n", @@ -351,7 +368,7 @@ "
\n", - " Comm: tcp://127.0.0.1:54940\n", + " Comm: tcp://127.0.0.1:65065\n", " \n", " Total threads: 4\n", @@ -314,21 +331,21 @@ "
\n", - " Dashboard: http://127.0.0.1:54943/status\n", + " Dashboard: http://127.0.0.1:65071/status\n", " \n", - " Memory: 55.88 GiB\n", + " Memory: 9.31 GiB\n", "
\n", - " Nanny: tcp://127.0.0.1:54880\n", + " Nanny: tcp://127.0.0.1:65037\n", "
\n", - " Local directory: C:\\Users\\data\\AppData\\Local\\Temp\\dask-worker-space\\worker-4mhsz13r\n", + " Local directory: C:\\Users\\Jianshun Gao\\AppData\\Local\\Temp\\dask-worker-space\\worker-6q6tun74\n", "
\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "\n", @@ -396,187 +413,7 @@ "
\n", - " Comm: tcp://127.0.0.1:54972\n", + " Comm: tcp://127.0.0.1:65063\n", " \n", " Total threads: 4\n", @@ -359,21 +376,21 @@ "
\n", - " Dashboard: http://127.0.0.1:54973/status\n", + " Dashboard: http://127.0.0.1:65072/status\n", " \n", - " Memory: 55.88 GiB\n", + " Memory: 9.31 GiB\n", "
\n", - " Nanny: tcp://127.0.0.1:54881\n", + " Nanny: tcp://127.0.0.1:65038\n", "
\n", - " Local directory: C:\\Users\\data\\AppData\\Local\\Temp\\dask-worker-space\\worker-7_6k4mgb\n", + " Local directory: C:\\Users\\Jianshun Gao\\AppData\\Local\\Temp\\dask-worker-space\\worker-efysz1ue\n", "
\n", " \n", " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - "\n", - " \n", - "\n", - " \n", - "\n", - "
\n", - " Comm: tcp://127.0.0.1:54961\n", - " \n", - " Total threads: 4\n", - "
\n", - " Dashboard: http://127.0.0.1:54964/status\n", - " \n", - " Memory: 55.88 GiB\n", - "
\n", - " Nanny: tcp://127.0.0.1:54882\n", - "
\n", - " Local directory: C:\\Users\\data\\AppData\\Local\\Temp\\dask-worker-space\\worker-_vtk580o\n", - "
\n", - " \n", - "
\n", - " \n", - " \n", - "
\n", - "
\n", - "
\n", - "
\n", - " \n", - "

Worker: 6

\n", - "
\n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - "\n", - " \n", - "\n", - " \n", - "\n", - "
\n", - " Comm: tcp://127.0.0.1:54960\n", - " \n", - " Total threads: 4\n", - "
\n", - " Dashboard: http://127.0.0.1:54962/status\n", - " \n", - " Memory: 55.88 GiB\n", - "
\n", - " Nanny: tcp://127.0.0.1:54883\n", - "
\n", - " Local directory: C:\\Users\\data\\AppData\\Local\\Temp\\dask-worker-space\\worker-ofu5zf80\n", - "
\n", - "
\n", - "
\n", - "
\n", - " \n", - "
\n", - "
\n", - "
\n", - "
\n", - " \n", - "

Worker: 7

\n", - "
\n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - "\n", - " \n", - "\n", - " \n", - "\n", - "
\n", - " Comm: tcp://127.0.0.1:54939\n", - " \n", - " Total threads: 4\n", - "
\n", - " Dashboard: http://127.0.0.1:54941/status\n", - " \n", - " Memory: 55.88 GiB\n", - "
\n", - " Nanny: tcp://127.0.0.1:54884\n", - "
\n", - " Local directory: C:\\Users\\data\\AppData\\Local\\Temp\\dask-worker-space\\worker-u45d30hc\n", - "
\n", - "
\n", - "
\n", - "
\n", - " \n", - "
\n", - "
\n", - "
\n", - "
\n", - " \n", - "

Worker: 8

\n", - "
\n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - "\n", - " \n", - "\n", - " \n", - "\n", - "
\n", - " Comm: tcp://127.0.0.1:54953\n", - " \n", - " Total threads: 4\n", - "
\n", - " Dashboard: http://127.0.0.1:54958/status\n", - " \n", - " Memory: 55.88 GiB\n", - "
\n", - " Nanny: tcp://127.0.0.1:54885\n", - "
\n", - " Local directory: C:\\Users\\data\\AppData\\Local\\Temp\\dask-worker-space\\worker-old86hcm\n", - "
\n", - "
\n", - "
\n", - "
\n", - " \n", - "
\n", - "
\n", - "
\n", - "
\n", - " \n", - "

Worker: 9

\n", - "
\n", - " \n", - " \n", - " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "\n", @@ -611,193 +448,13 @@ " \n", " \n", " \n", - "
\n", - "
\n", - "
\n", - "
\n", - " \n", - "

Worker: 10

\n", - "
\n", - "
\n", - " Comm: tcp://127.0.0.1:54975\n", + " Comm: tcp://127.0.0.1:65061\n", " \n", " Total threads: 4\n", @@ -584,21 +421,21 @@ "
\n", - " Dashboard: http://127.0.0.1:54976/status\n", + " Dashboard: http://127.0.0.1:65068/status\n", " \n", - " Memory: 55.88 GiB\n", + " Memory: 9.31 GiB\n", "
\n", - " Nanny: tcp://127.0.0.1:54886\n", + " Nanny: tcp://127.0.0.1:65039\n", "
\n", - " Local directory: C:\\Users\\data\\AppData\\Local\\Temp\\dask-worker-space\\worker-0xsdxrw4\n", + " Local directory: C:\\Users\\Jianshun Gao\\AppData\\Local\\Temp\\dask-worker-space\\worker-i87d0xvj\n", "
\n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", "\n", - " \n", - "\n", - " \n", + " \n", + "\n", "\n", - "
\n", - " Comm: tcp://127.0.0.1:54946\n", - " \n", - " Total threads: 4\n", - "
\n", - " Dashboard: http://127.0.0.1:54947/status\n", - " \n", - " Memory: 55.88 GiB\n", - "
\n", - " Nanny: tcp://127.0.0.1:54887\n", - "
\n", - " Local directory: C:\\Users\\data\\AppData\\Local\\Temp\\dask-worker-space\\worker-hnelt761\n", - "
\n", - "
\n", - "
\n", - "
\n", - " \n", - "
\n", - "
\n", - "
\n", - "
\n", - " \n", - "

Worker: 11

\n", - "
\n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - "\n", - " \n", - "\n", - " \n", - "\n", - "
\n", - " Comm: tcp://127.0.0.1:54969\n", - " \n", - " Total threads: 4\n", - "
\n", - " Dashboard: http://127.0.0.1:54970/status\n", - " \n", - " Memory: 55.88 GiB\n", - "
\n", - " Nanny: tcp://127.0.0.1:54888\n", - "
\n", - " Local directory: C:\\Users\\data\\AppData\\Local\\Temp\\dask-worker-space\\worker-ywnxkrum\n", - "
\n", - "
\n", - "
\n", - "
\n", - " \n", - "
\n", - "
\n", - "
\n", - "
\n", - " \n", - "

Worker: 12

\n", - "
\n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - "\n", - " \n", - "\n", - " \n", - "\n", - "
\n", - " Comm: tcp://127.0.0.1:54945\n", - " \n", - " Total threads: 4\n", - "
\n", - " Dashboard: http://127.0.0.1:54948/status\n", - " \n", - " Memory: 55.88 GiB\n", - "
\n", - " Nanny: tcp://127.0.0.1:54889\n", - "
\n", - " Local directory: C:\\Users\\data\\AppData\\Local\\Temp\\dask-worker-space\\worker-07tq1zpz\n", - "
\n", - "
\n", - "
\n", - "
\n", - " \n", - "
\n", - "
\n", - "
\n", - "
\n", - " \n", - "

Worker: 13

\n", - "
\n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - "\n", - " \n", - "\n", - " \n", - "\n", - "
\n", - " Comm: tcp://127.0.0.1:54951\n", - " \n", - " Total threads: 4\n", - "
\n", - " Dashboard: http://127.0.0.1:54954/status\n", - " \n", - " Memory: 55.88 GiB\n", - "
\n", - " Nanny: tcp://127.0.0.1:54890\n", - "
\n", - " Local directory: C:\\Users\\data\\AppData\\Local\\Temp\\dask-worker-space\\worker-lfu5si46\n", - "
\n", - "
\n", - "
\n", - "
\n", - " \n", - "\n", - " \n", - "\n", - "\n", - " \n", - " \n", - "\n", + " \n", + " \n", + "\n", " \n", " \n", "\n", @@ -805,7 +462,7 @@ "" ], "text/plain": [ - "" + "" ] }, "execution_count": 2, @@ -815,7 +472,7 @@ ], "source": [ "from dask.distributed import Client\n", - "client = Client(n_workers=14, threads_per_worker=4, processes=True, memory_limit='60GB')\n", + "client = Client(n_workers=6, threads_per_worker=4, processes=True, memory_limit='10GB')\n", "client" ] }, @@ -852,7 +509,7 @@ "metadata": {}, "outputs": [], "source": [ - "img_dir = '//DyLabNAS/Data/'\n", + "img_dir = 'F:/'\n", "SequenceName = \"Evaporative_Cooling\" + \"/\"\n", "folderPath = img_dir + SequenceName + \"2023/05/09\" # get_date()" ] @@ -930,12 +587,14 @@ }, { "data": { - "image/png": "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", + "image/png": "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", "text/plain": [ - "
" + "
" ] }, - "metadata": {}, + "metadata": { + "needs_background": "light" + }, "output_type": "display_data" } ], @@ -986,7 +645,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 6, "metadata": {}, "outputs": [], "source": [ @@ -1002,7 +661,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 7, "metadata": {}, "outputs": [], "source": [ @@ -1035,9 +694,30 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 8, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "array(853.42940839)\n" + ] + } + ], "source": [ "total_Ncount_val = BEC_Ncount_val + thermal_Ncount_val\n", "total_Ncount_std = BEC_Ncount_std + thermal_Ncount_std\n", @@ -1057,9 +737,22 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 9, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "fig = plt.figure()\n", "ax = fig.gca()\n", @@ -1074,9 +767,22 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 10, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "fig = plt.figure()\n", "ax = fig.gca()\n", @@ -1091,9 +797,22 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 11, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "fig = plt.figure()\n", "ax = fig.gca()\n", @@ -1108,9 +827,22 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 12, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "fig = plt.figure()\n", "ax = fig.gca()\n", @@ -1125,9 +857,22 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 13, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "fig = plt.figure()\n", "ax = fig.gca()\n", @@ -1142,9 +887,22 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 14, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "fig = plt.figure()\n", "ax = fig.gca()\n", @@ -1159,9 +917,22 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 15, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "fig = plt.figure()\n", "ax = fig.gca()\n", @@ -1176,9 +947,22 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 16, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "fig = plt.figure()\n", "ax = fig.gca()\n", @@ -1193,9 +977,22 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 17, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "fig = plt.figure()\n", "ax = fig.gca()\n", @@ -1210,9 +1007,22 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 18, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "fig = plt.figure()\n", "ax = fig.gca()\n", @@ -1227,9 +1037,22 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 19, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAZcAAAEHCAYAAABiAAtOAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjUuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/YYfK9AAAACXBIWXMAAAsTAAALEwEAmpwYAAA/N0lEQVR4nO2de7wfVXXov+uE5IQkCnIwR4iXE18laC0o6KV6NUGg/Si9WtAiklRRIDUVvCCtvTWKVkG9CEhBoYU+fCTWJ4qoRY1yKLVGRcUHAj4wgFh5+QwhIcnZ94+ZIZM5M/sxs+f3mzlnfT+f/TnnN489e2bP7LX3WmuvLcYYFEVRFCUmI8MugKIoijLzUOGiKIqiREeFi6IoihIdFS6KoihKdFS4KIqiKNFR4aIoiqJEZ49hF6AL7Lvvvmbp0qW1zn3ggQdYuHBh3AIpA0Hrrr9o3XWDb37zm/cZYx5dtk+FC7B06VJuuOGGWudOTk6yYsWKuAVSBoLWXX/RuusGInJ71T5ViymKoijRUeGiKIqiREeFi6IoihIdFS6KoihKdFS4KIqiKNFR4aIoiqJER4WLoiiKEh0VLoqiKBWsWJEkJRwVLoqiKCWsXw8bN8J118HSpclvxZ+gGfoishA4EXgSMAZI4RBjjDk5UtkURVGGwvr1sHo1bNuW/L799uQ3wMqVwytXn/AWLiLyTOAzwL6WwwygwkVRFCeZumlycpilKGftWtiyZfdtW7Yk21W4+BGiFrsQmAccD+xrjBkpSXPaKaaiKMrguOOOsO3KdEKEy6HABcaYjxtjftlWgRRFmfl03Z5xwAFh25XphAiX3wL3t1UQRVFmB1X2jC4JmHPPhQULdt+2YEGyXfEjRLhcCfxxWwVRFGV2YLNndIWVK+Hyy2F0NPk9MZH8VnuLPyHC5W+AxSJyiYg8QUSKnmKKoihO+mLPWLkStm4FY2DTJhUsoYQIl18DzwT+EvghsENEdhbSjjYKqSjKzEHtGbODkHkuHyBxNVYURanNuecmNpa8akztGTMPb+FijDmpxXIoijJLyNRLJ5+cGPUnJhLBMhPUTl2euzNogmboK4qixGDlypkhTJRqgoWLiBwBHAs8Pt10G/BJY8y1MQumKIrSJ7K5O9u2JXN3ZsporC4h4V9GgPeTxBYTYCrdNQK8RkTWA68wxqhdRlFaRtUv7RPyjDUW2XRCvMXOAlYCHwcOAfZM0yHAR9N9r4tbPEVRinR9dvtMIPQZD2ruTp+WAAgRLicBXzDGvNQY811jzPY0fdcY8zLgi8CrWimloihAP2a39506z3gQc3f61qkIES6PB6627L+aXXYYRVFaoA+z2/tOnWfc9tydPnYqQoTLA8C4Zf9j0mMURWmJvsxu7zN1nnHbscj62KkIES7XA6eJyFOKO0TkycBrgP+IVTBFUaajs9vbp84zbjsWWR87FSHC5WxgFPi2iHxMRP4uTR8Hvg3MBd7cRiEVRUnQaL3tU/cZtxmLrI+dCm/hYoz5HrAc+AbwYuBNaTou3bYiPUZRlJbIesgTEyDS/Wi9ffJuyuhiROQ+dipCRi4YY24wxjybxPZyeJrGjTH/yxjzzdCLi8iIiJwpIreIyFYRuVNELhCRhR7nvkVEjCVtDy2PovSBlSuTnvHUVLej9fbNuylP1yIid1HguagV/sUYcy9wb4Trvxt4LfBJ4ALgoPT300TkKGPMlOXcK4Efl2z/A+CvsXu2KYrSIjqpMD59C5kztNhiqWPA6cCVxpgX57b/FLgYOAH4UNX5xpjvAt8tyfcf03//OWqBFaUBPrO9Z9Kse5t3U58ayEHiW/99eU8q1WIiMiUiO0RkXu53cf2WJuu5vIwkjMxFhe1XAFuAVYH3QqpOOwH4GXBN6PmK0jZVNog+q5DK6KN30zDxrf8+vSe2kUu2fsvOwu9YPIMkPtnX8xuNMVtF5MZ0fyh/BjwSuNgYs9N1sDK7OeOMQ9h773o9wPXr/UPG5wMaZuQDG85EFdIBByT3Uba9r7Q1YvCt/969J8aYoSTge8DdFfs+SiLI5gXmeT2JwHpcyHmHHnqoqcu1115b+1xluBx88K/M8uXh561bZ8yCBcYk5t4kLViQbM9YvjxJZccWz5mYKN8/MRHlNoeCzzNqwqC/u3XrjBkd3VUvse7DGP/67+J7AtxgKtpVMZ5BjEXkucDNJjHml+3fF3iyMcZrIqWI/ASYa4yZ1pcRkQ8Afw48yhjza8/8DgRuAb5kjDnK4/jVwGqA8fHxQz/84Q/7XGYamzdvZtGiRbXOVYbHhg2LOe+8A9m+fYTx8W2ccsptHHXUPV7nnnDC4dx99/xp28fHt/LhD2/cLe+REcPUVLVT5vj4Vu65ZxRjZNo+EcOXv3yd/011jCbP2EWM7+6MMw4B4KKLbrQet2HDYs4//0C2bZvz8DYRwxvecHOU+3ne85Z71b/vcYPkiCOO+KYx5rDSnVVSp5hI1GMnWva/FNgZkF/UkQtwXnrOCb7nZElHLrOLpr1qkfIepIh9pFJ1Thd7pF2n7neXH4Hkn7Ot7qvqZ2Qkzghmpo5cQua5TBeZuzOHXWu8+PBzYF8RGS3ZtwS4zxjzkFfBRPYAXg7cT+LWrCiVNI3TZJstXZa3K68+TpDLKDoodHnSZNFmkVEWBDJ/H1VOCFNT8KpXNTeq+9a/6zifZz/Q+qmSOsVEIjheZtn/HuC/A/I7h2Sk8ZzC9vkkATD/PSCvY9O8LvI9J5905DK7sI08fLCNfKryttlcsjwnJnaNZGLq9NuizA6R2Zraps53V9XzL44Aivc1NuZ3XhN8bTpVx/mc34bdCMvIxdVo/x+SZYxvS4XL3bnf+fQrErXZFbb8Cnk/Nc3zE4Xtp6eCYlVu2xOAZZa8PpOe81Tf6+eTCpd+E9qgxVAvLFu2S5DkP1RXA+ariuk6ZQJ27lxj9thjMPdX57tzCf4qtebcue7zBklRSKxZU97ZWbZs13fRloNFE+HyCuDaNE0BP8j9ztKXgU8DbwD2tOVXkv8lqVC4EjiFZJb+dmASGMkdtykZZJXmsT+wA/hayLXzaSYJlza9WrpInftt+qHZrlmVd/ahD6pnH4uq8voI0ZjeYUXqfHc+IxCbfaXNkYsvZe+XS2jaRl9Ny15buOx2IPwUeKHv8Z55ziFZPvlWYBtwF3AhsKhwnE24vCEVUKfWLcdMES5tu3/GJEYj2+R+160zZu7cHcFC2OeagxTwbQor2334qv9GR9spW+h3l9S3WxDa7qvs/Hnz4tevrU59R8a+qemoK4pwmclppgiXLnqTlBGr8W16v8V5Lj4NdReecX4OTdPnWHXPLiEa0si1IWBDvztbeX3Umtkxc+bs2jY2Vn1fdYW+q05DbHq+ddOEWCOXI4F3WPa/AzjCN78upZkiXNrqncQk5uiqqWE+X3e+DXXTazYlX85iWUJdY2337BKioS7XsUfQod+db72FTJAtw0cA1RXoxsQduQzV5rLbgfAF4GOW/R8GrvHNr0tpJggX25C+SyOXmD3/pnlldRci8IY5cvFp0OfMiWN38mmM88Jp4UJ3YxbzGcUauZSVqSh0i4Zxm73NpTorO79s7k1VWdesKb/GnDm7nCnywi2fxsY65C2224GJp9hZlv1nhrgidynNBOFS9fFkHjBdwTUBMeTlbzoKyuoutOEZll3Lt9fqUx7XPfs+k+XLk8bXZxQTc3RXx+ZSp95cDb+vqjB7n8s80ebN86vX7HqLFtnrxnWvMW2CsYTLVuDVlv2vBrb65telNBOEi00X2yWqPsCxseYff+iHktVdqKprWB55Ifp21yjBdc8xRnOhZTLG31ZR57uL0Xmx3ZetfmyRGGIlEbc9LnbnKJZw+YltHgtJqPxNvvl1KQ1TuHTFuD0oql7utlwlbdQZuQwTlyutj2DM8LnnpnaoNjsKg+jUhQgDY+z1k02QbVO4lKm9isI69rseS7hcDDwEHFWy78h036W++XUpDUu4xOxFlOUVK/ZRbMoakTqG8qZuuHVsLsMkRLi4Gos6huu6c17aUHHGEC6xPLMyla6tfnztKvlks534qNeKEylt91RXZRlLuIyn81B2pjPiz0nTZ9JtdwH7+ebXpTQs4RK7F7Fu3fQ8+zKRMvRZVDUMIQKnjrfYMPFt7ELm+tiM08VZ4KETR0OeYWj9x9AYuDpjoe7WtvopepG5hEJm6K96rtm3nqnbfCaIlrUPTducaPNcgAngc6kwmUpTJmyWhuTVpTQs4dKGW2tfeuHG7C4IQspddaytASyjbt0Na5a9zV4VUzD62BqaTBwte36ubyF/zvLlyRylJlQ9y7y3XYi7tc2mUjbSyLYXvcVGR5PRRtlIJ4Zqcr/9pkcbGLrNZbeT4FEkK0U+g2TNlaELiCYptnDxbXza0PWH5DnMUCQul0zbh2TzjAv5aNauvalW6JhhjXAG1XGIaaAvu4ey5+eavJidMzaWudxONXr+tsY4P4LJX7tKTZUvZ1n9VHl3jY1VP5vQd7mus0AnvMVmcoopXEIanzYaC1sPsDhS6GsjGcNrKrn/HUFl6MKocBD1FmJrCC171UhgbKxcPVQWlDH0+Zd1olyNcdV8oVA33zVr7NcJGSXZhHnIKCvmu9vGyGUR8FjggGKqk9+wUyzhUqfxKepOm1a2j+qk6kMeVCNZd3SV/R/SS6tqAH111HXLHQuXMCk2nDGET1sjF1e+ZVGVfcrianR9XXJ9G9+QZ+zj7OD7zF3CvI7TQNN3N6bN5QTg+6mdpTSF5NeVFEu4VFXs6Gi5+qkNtVTZR+M7UWtQrrchoTimq0PKhWNIdIJ16/w/vnz4jkF7tLmMzmW95Bgjq7ZsLj4jomJ9+Zxjm4/kGmW0/U34hPmv+2wyyt4x3/e7E4ErgT9NDfi3AJem/69Lw75sBb4OvNk3vy6lGMLF90WtahiKLoNNKObt68JaVJ21he8cC1sDV+zlhjSsofrpLJ9YHm1Nn9OcOeX36ytgferY5S2W/+07Eq7TO28ycrHVV36yoe09C2l866jffEcuVZE2Qm1YxdQ0anUs4fKfwE0kK0XumwqX56X7fh/4DfAi3/y6lJoKlxB9p0uPHEuPnn/RfXXobcQeKsNHfVinUfFVMdaZzGYz2Ibq5n2FTqxJd1XxwHzruEz1FjJzPX+ez9ojrufo8/xdz8/XLuI7crGp31whj3yfadk1q96xZcvsa9DEanNiCZffAq9P/98nFS5H5/a/C9jom1+XUlPhEtoTtnmduD6YOviUr0x11ubKgq5Grok6xEUdz5p8WJQmHm0hYW7qegBVNZB1bYLF+/UtV1n91Hnv63qLhXgVVo0E16ypzj9fPttzLRNeZXnbBFHRs8x2f/lOYj4tXLhLixHqjVZFLOHyAHBy+v+eqXB5SW7/KcBm3/y6lJoKlzbCOsS0f1TZYcbG/CdhNXkB69DUkGujjmdNiL7bmPBRR5VtKLSctkajjlqvrNGse0/Ll+/qrBSTbzTnDJ85SmXlt6kO16yp1+j6qnnzc1mq8qz6DsuES512J3aopVjC5VbgrbnfvyC3vks6crnbN78upa6NXLKPICb5XlHdkUKTBr1OeZu6oLryHx9/0Eu4Vq02aBvFhL4TNqN0SMOxZk21ajDUIcFm8/EpS9HgX3VendUcfSfAFusotDH2eedjToYOySvWyLZJeWMJl38F/iv3+3LgQeBs4C3AFuAjvvl1KXXJ5tJWI+4SLk1UHbHJG1uzhjLvLebjkuvK25jpbuQhKgkfT6SQAJ1lhtUQ11KfOHKhIxdbh8P2/hbrx/V95J9vmcAuq9u60RXqNsi22fKu5xriJBNSR3VGtrHbnFjC5RnA24E909+PBm7MhYH5HvA/fPPrUhq2t1gs/WcVPrr2ukba2Li8lMq86nztIMXj1q69abf9IQLVdz5RXvWYGfN9nDnWrfM3yIJf7z/U5mJr6KpGInW8xLLnW2aErrL71RUuMRtk3xhgMdYoqvImzXeKfL1C6y5vUUarM/SBPwCeAow0zWtYaRiTKItGymIjFBPf3lCxTIOeaBny4dsa66oZ00UhPjq6w0uVVSZQmzT6Ph2LqpAhrmfi84xjRZDwfV4+HmK+6r/s+k2jkcdWKZWNrH07dWVxxfKqTVfQ0Kp3yVZWm/o0hMbCBViYqr/+2Of4vqW2w7+U9cZj9XR8qLuQWBtlsVFn/onNOOkjrFxza6q8ekIbnpD79VkyuCyFzOC2GZWL54TacIrvla1efdXExTq79tprK9VNvmqo2I44Zd+w7Z2rej/zE3erBNSaNX62L1dZmxJLLbYVOMX3+D6lNqMih3isxByu5rF93IMQGsZUC6o683F8k4+9ohh11+UxVFetUkbs+7WNXEJVYj74vleuRrTOKKIq6GhIhyj26KXqG65652zXzzo1VZ2nGO9ODBV3LOFyE/BG3+P7lNoULjFe4KYvgatBnDvX307h2xj5qNiKw/2QxbBipeyeXJFvszqoW59lxGzcXAb9KkHbRJXmeq+yMhXtM/meuTH1Gso99thZ+j6FCFCbE0fb71zd+46ZYjjnxBIurwFuB8Z8z+lLalO4xHiBYrwErh5iHY8o27V8evfFZzN3bvizmTOnvoF2dHSHt0omm01d5zpVarGq5+sy5BcFYvFaZTaeuu+Wj03L1QN32e5iCVlbx6BKQLqiFlelEGeLYsrUrG2MnELSxETzcE+xhMvLgW8D9wEXAK9Ot+2WfPPrUhrGyKVM9TKIdeRtL5tv2V0TCpt8NHU+2rwx1ff8sbFEteJbVh91R1lyTQ4sa/RcDV4+WkCZQM47EbjCgLjerVhGe9v5MT24qpKv04frmduee8j72tZ9Z/Xgqo8yzcHQvMVyLse2NKujIpdhM8gVDaV1vc1CXgzbC1ckZEKXzwdatyHwXWUvpBeaGYV9867jvZVvSELxiXflY/Nw3ZfrvXHF53J5jtkaweL707QnXzVycak68/gI0xgjjrxgi6UOLjoC5NuH/fZLfuc90GLY4GIJl+U+yTe/LqW2lzm2edyUHesSGk2MsyHhJXwar6I+vWnK8i26Yvr08ELL4RNdIbt+jHvyxcdV2Ri30HWN4nziZvnMUVmzJrw3X2fiZpaSuS/+NhdbXmXP3vVttWFML3MkCVkqI7RNCdVKVFFbuADH93ViZEhqW7i4CB2F+Ezgq/KPX7du+gtrC29ie7l9X35bw1T1EZe5b8fUUYskajGfxiTGdX2Fv827sPhuNC2Xz6jKR3WT2aN8e+BVz2L5cr/R77p1u1SaWQckm2RY9i3ZRjRV92zrDLqeu88o1zX6z3+vLptWaP3Z6jPUvttEuOwETsz9fiTwX8ChtvP6lgYtXHw8qWwNUd2eU+hcmqa6ZVdZqiZy2VSJtg8jdOQyPv7gw9erakzqGvHLkk+vMKRHGaN+MmyGXR/B4asStS0f7JNH9hyKk5er3ufly/3uPwTXO+Fjn6taQLCIy45Z12YWoiq00US4TBWEyxi5dVxmShqkcFm3zs/obKvkJj3WkJenTW+WOvMPXMJj4cJyQV11vMiUtVENVYe5Jj/69ApDgyA2VdkZ49fZiPkuFPE1bOc7XfmwS1XhUpYt85vMWAebsM1GclWqzblzd99W5uFXrJe6ETNC4sMN1OaiwsVNqHAJMd7ZRhR1vUyKjZStcW3TD7/snmI4BISsw/7IR26zRlMIva5LRdjGyKWJt1HWqPk0MjHfhWJjahNc+brMx9fKvru6Qq/pBFLbHJliXeVHxmNj5Z2komq6rF6Ky2T4lN/1fLKyDNxbTIWLG5twKVvBL9YHUFTl+AqtvG+7q8fa1sil7OOLHd01f29z5lQthLZz2jZfG1JRped6/k1sLlXnNqmfTD3lK8xivwu+jglZOYrv6otedGdtR5K6DWmROuu/uJxkXMf5dFDy7Y7Pt9VE0KpwcaSYwsXWcNf5QH2H7r4vUd7IX/Vh2HrvtoZgZGT3RrdMTZRdI/8BxHJhLl6nal/TXnjREO7qNDTxFrOd2+Q+stnzvvHBYncA8u+2y2Bdfu2pWteMuWTE8uXJaMoWfSCkzvJlsx0X4hlWjEFWpZKvqyJsKlyuAS5O0+Wpkf/K3LZ8+ntbfl1NMaMi2xru2B9D2YuUD0xY9Bbzcem1GSNdbqeuCMBlqqc2Qr7EdI0uS3vsYXc+qPvRxvIa9E22ibtZo54vW1vPdZBhf0Lqw+XkUGfJjKYjF1v+MdXlvjQVLiFp1k6i9KnYqo9zbCx8GOxzvdiuq/nyhEYTyI/oQsLqDzv+kus52J5pyAqLVW7ftp5wk3cun7/LdtDGqKWYmoRT8U02F+iQNYJ8v72y+vJdjTPk+45hrxzGyGUiNNny62qKIVx8G25bqH0fXXtoiJWQSXcxkst/37f3m5W7ripxUPdpe6Yhs/NtvXeX7c22aJerkfJR0wxqZJF1skTqj5KqRt6ZkLaN9vONte1b9H2/ivVUVQ9VM+t9nnvTuWZQb5npjCgz9GdyiiFcfBrustnnxd6KTS1St4fi08vOGpO6YU6K18qXuU6vN/+xlU36dJ0bQ5DaGrhMcDSZ4JYn9LkWcfW0bfdhWwLCxwmliU2x6nm562+6zSVT5VU9C1+7pGtU7vNuFSdo+mgmyso3iA5h3RBFxhijwsWRBjFyieH62FSf6pNHk55Q2T02dWIos+/MnVstBLMPpen8D1essnzwQV+X1CJ5dYxvHdreD1fHpKw3busdz5tn3+/TkQhpHH1tDmDM/PnbSx1GbLaqGCMwn7Llj83wmb9UlW/bAqaJk4MKF0dqy+ZSFbbDh2Jj0eTDKDbWLlvGnDnhI6Sqe6y3Vof7vssmlZXpratGH4mOf8o68dHHi6nqOdlC2RQn+E1MuCdgFt2rXT3ysqi3ZSqgJg1XlVE5PzIPXdIgn4/rvHnzjDnySPuzz+dX9z6LZaxjc/EZubhcskPLmy1n7LtWUR06K1yAEeBM4BaSlS7vJAnnvzAgj32A84Efp3ncC1wLPMc3j1jCJV95Cxfu3kiGhLduy+0z7wIcou4wxt/LpXgfMe+hmHzWAc/cRcuevUulmeVb9eH6dCZ869Jm0LYFZbSpo3y8mOqqskJUKUU7QrFTkHkhlh2bqe1CDf5N5unYVIXZ/KD8c/d5zj42VZsAquoo2cL/+Iwsm2pUuixc/h4wqWvzqcCFwHbgy8CIx/kTwE9TgfJO4FWpsPpX4ATfcjQVLnVVMFWeQLEM0mVhJzKB59tjzRuGbdcpUkdAhvaim34YLpVm9lGHqJNiTz502TNCPepCbWK2uUqhlDl2+IzA6nRSiu9kyDNyXa94/2Uj2CrVZLEz5JrwaIup57KJlX2X+bZqzhy/yNg2OilcgKek7sufKGw/PRU4J3rkcX062tmvSVmaCJe1a29qpFpoK9RGTI+pOu7HIde3jRB8y1YHV3yqKrWWTZ2Ut2/FdA+tM7rybXBsvWLbKCOEpj33pu+Fbx4+jhpl+VfdXz5kTdkzcc0ByzqDtjL4TmOYNSMX4JxUiDynsH0+8ADwOcf5z03PPz39PRdYUKcsTYTL+PiDjRqQspcghuExthHQ1lCWqTRCkjH+4dbL7jNP2QdbNRnON7JuGaGjnbp1WPd6dZwMfO18dTzXmtgcsphcIc+tzgTiYociJDS9jzBy2ZRCrp8vg6/Q8BVCIUQVLsBC4ChgJTAeen4un8+ns/1HS/Z9BbjXcf47U+HyIuBqYEf6+4fAqpCy1BUuSTjvemEoql7UMu+o0GSblFm3fD4fTt2JcLaQNK7kcuUsC2SZ0WQtHtsHHevZZ/dWNbIoNkZ5lYuvodtGaIRm23OxvVuuTklWb77P7clPdjs4FJ9nlRrL572zPauq5+9q6H3eodHR3cvq6hzVqU8X0YQLsAb4dTYbnzTGGLA4NaafGpDX94C7K/Z9NBUU8yznfzI95p5UGK0EXgl8P93+St+y1BEuuyqzuXDJvyRNG6a5c/09WnySz0cT2rOscw3Xx+r77PLnNF3orUyHbkycUaNrEqRt5v6yZdMFfR11Vp2ebtU5tugUtvc0X1++zy6mV1TTUUFVGVwNve87FOIsNOiRyx54IiIvBt4LXJWOFP4p22eMuUdErgH+FLjCM8sFwLaKfVtzxzxUccwj0r+/A44wxjyUlvNTwG3A20Xk/caYqYr7WQ2sBhgfH2dyctKz2LBhw2LOP/9Atm2bA0jJEaaw3fD0p/+SH/xgL7ZuLZ5j2LYNHvOYbZxyym3cccdBFXm6GRmZ4vWvv4UlS+4B4Oijn8hVVy2x5Gdy/08/ZmRkiqkpcZbnEY94iPvvn1txXHKN8fFt3H33aOkxxkzbVMr8+TvYa68d3HPPKIsXJ89ryZJ7yKrujjuWO8u6ZQucddZWlizZyObNm4PqvciSJfC+9+2+bXISFi8+nLvvnl8735GRKc48M6nHE044nC1bpue1xx7JPRSLv2HDYm65Zfo7ZAxceeVWjj9+o/P6Z5xxCACrVv08954niBimprYwOfmN0nOr6mDnTsPo6NRueY2O7mT79p1s2TKvJCfD+PjudTw+7vdcd+4sfn9Z2QyTk9c5z8+zZAmceeZizjvvQLZvH5lWpoxVqxZPe1ZlZGWoekcWL97K5ORGyzuUfSzJ/d1+O1x2mdnt98kn7+Tmm2/lqKPuefisDRsWc+edy9Ljdj2b0dGdrFp1K5OTu46NRpXUKSZgI/Cl9P9p0ZGBNwK3B+TXdORydXrMOSX73p/uO8inLKEjl7qjC9fkRNekNlcK0QPb3Bvz+bnu1VXmkIlxPs/PptbxzT97TjGWqC6jyaix2CsOUWWE2gmqyl62vHQ2Oq1SMWa4bEOhjhF1nmsb8zl8yI9kXWWo8jDN2y9DJ71W3Wud0a8vxFCLkRjZT0v/LxMuJwMPBuTX1OZyWSpATivZl9ljnuVTllDh0uaM2So1gc1rpPhCuXTY+Q/XlZ/NWOwzEa8YN6lpeAuXQdqn8cnyaEu4ZGUJjY9VtgRwiCoj1MOprMxFdZpP7Dsfd9pYqppdz7VcHZ3ZVlwTbNvG9Rx8nCXK1K6+34uvM0hTYgmX3wKvTf8vEy5vAu4LyM/lLfbvjvNfmZ7/zpJ969J9T/Qpy6BGLr6pbBEi1xwV30CFxZfK1gBWGYuLOl6X4LO59frO4C77aPKUraPjWhq2beEScl9VDXBIY21reHyM+bYGr+qdHxuzu9O6PO9ChZFPZ6fMKSazRQ6SKptc6NyUPKG2HWPaMeRnxBIu1wOfTf/fTbiQzLT/rksgFPJ7KvZ5Lqty254ALCsc96hU4P0MWJTbvh+wGbjVtyyhwiWWsbwszZnj19OoenF91Fj5j6xqeH7kkdPvO5vtXufeXSMOlzrBlo+tMbPta1O4+DQCvuGBqura95plI6Kya9jKGTrpNoQQYeTzbbTZU4+BS11tw6ftCZk/1JRYwuWlqTB4G/Ck9P+jgAOBT6Qqruf75pfmeUkqSK4ETiEJ/bIdmCQ3Qx/YBJiS81en538feB3wf4HbSZwA/si3HHW8xcpcPSFxg2waAtv2IbuwnTs6Wv7h5lerq5q1u2xZc3WgD6G979Ceb542hYsrlL3PXJpQmjwLV4MXMlpvsxG39cKz0asrRtegRzC+9wB+ZStzdy+LeJA/PvbkyYwowiXJh3NSobIj93dn+v/ZIXml+c0BzgJuJfEcu4skBMyiwnGlwiXddxyJs8EDJJ5jXwCeHVKOOsKlqoed9RLLVAxz5+6KW2Trodv21e3Z5fMOdUltGmE4+/ibNHJVve8mvbJhjFxCGt6QHn3+nOK1fc51NXgho/UY6paqe7c9V9+1jmI1rHWxqRh9qaNO9Bn9hhJNuCR58fR0hPFZ4HMk8cEOC82nS6mOcLG9vBm2Co3pUZTHN19fARNiRHQll0prdNSY/fYL+2ia6JMHbXMJadSanF/n3KoGb+HC3fPNe46F1LOrvC47nMuxIG8HLLO1ucpYR5DXJcZIoiuqv6jCZSam2CMXX8p6mU0a6mK+rrD6PsR0XigL1VImCIsRpZvq4KtwCZemDU6T3mKT+6pzbpkRHKq9rKqu4TtCzV83NHRNUtYdVmGUd4BxvYttqo1s9+0T7LKKNo30IcSyudwGvNCy/0+A23zz61KqI1xcfuoh1BkZ+L5EtjxilC00Im/+o7Kp/9rspWfYhMswGpw8TRqPuueGxBJrYhfME9J5yZc/X3c2YdplB4A2bGS9HLmkdpXKSMWpwX+nb35dSnVji61ZY8zIyM6HG0qbYLH1guuMDnxfoqYjLFcPNT/6chmxQ92Ofe+x7gjDJlyG/fEOeuRiTJhQivV86i4XkK87W7l9GvBhjQKaPMNhd34yBiVcXgv8zje/LqUYi4XZcL0ILrtGcV/IS9R0hFWltig73+bOmn00IQK07Y/bVnfDVjsM2uZiTFhjF6txs3VebHkffPCvHp646Sq3Sz05rI5E03esLSN9CLWFC0lY+7PTNAV8PPc7ny4CfgFcb8uvq6mpcHH1nH1eXpdHVhPdv4+rsY2Ql9h2rzFn48dgUCOXqpD/Lpo0HnXODelINC1fdn5VtGfbKqM+NpdBOU80Ydij4xg0ES5vToVKFgV5ypJ+2FevsaaLhcUadtddP6NL2D5U315q3Y87tBEfhM1lkF5IoZSVrSw6RBsNbZUzx6JF9mvZvMXygio0btYwRgFdUW01oYlw2YtkKeGlqQB5bfo7nw4A9rHl0/XUxmJhdQyGM+FlM6b6Q7XdX4xecGgj7uMtli+TbVXBqvO7UJ9lQreqbIPq4NT1NrPNEenCsw6lC6qtJsSyuSwHHu17fJ9SE+EiUh5Ar66ro+1l60ovuEk5YgqRLOJA3UY8ZJ5LHddRH1tA2/VZdY1h279cs+jrnNf3UX8f0XkuLQoXn5GLMXEa1dAZuW00XMPsjVfZBBYtqtew+AqXKhWO696bejE1xXaNYTfSNuFmE2TDForK7sQM/7IH8BLgXSSLhf1LIf1zSH5dSW3bXGLg+qhc6qeRkellsgmg0B7vIHqIMRqWvIrIV7j4PPuQ83znXzSlzvUHpV6yCTjXZM9hqvN86YqWoW1iqcX2Ab6TM+znDfwPb/PNr0upLW+xmC+YT0/TZTjPx+dy2T9Ce7yD6CE27W0X62Pt2puiXLfq3of9HOuOnAZlByjzkPQRZOvWJRqDfPnWrStfi8Z3CeCYdMXW5iJG+xRLuFyaBpd8JfC4VJgcTRIVeR3wNWBv3/y6lNqY5xL7BfPttbtcfl0CyNWr7svIpfisy+pjdHSHV33UHblk1x3WCLDp/I+6LtQh1G3git/dunXTvcWauijXpQ8uxrHap1jC5XbgivT/ssXCJoHLfPPrUmoqXMo+Qp/Rgy8h66hkDUUTAWTLe9g2l6pyj421N1Gurs3Fll/V/I5B2Vx8zu2yWicvXLqmKhv2BFwfYgnAWMJlG7A6/X+vVLi8ILf/DOAu3/y6lJraXMo+wqarAmbkP/KxMXfI/qwMNkFkE0A+XjzDbHjqqlJizYYue9YhVNVNjPXMbeVuOpmya2odn9hitve/TfowcoklAGMJl/8Gzkz/H0mFzV/k9r8G2OKbX5dSXeGSNLI7Sj/CJqqUfP5Va4G7GoCq3rFNAMUSiG1Tp8HsygfflXLYiOlC3VZHxCe2WJNvrwl9EM5dG7lcl6nF0t8bga8Co8CC1Obyfd/8upTqChdbBfmMHlxUDeuzRYVcjayPAMqfb/sg2/wwBjXfo67NJSZ9UJnEcqFus5GtO3IZpAq3y5Mju2ZzWQv8ChhNfx+fqsYeIFmzfidwsm9+XUp1hYuroXCNHlzYPhJfQl7yYfSqB9nLKz4LX2+xmPR95BJS/jbv1WVzqeqUda2RHyYxBGAs4SKZYMltOw64EvgY8FLfvLqW2hi5ZDRpPGMIlxCGMZwfZmPb5kqUVfg847a9tFz5x3KhbnOUVuYt5hrBdE01NRPQGfotCRebzaV4XJ0egkst1gaDHs4PU000DOFijP0Zt60i9M0/hgv1oEYuxXLbRjFdGiHOBFoVLsC+wJOa5jPM1NRbzLcxDm041q2bvvTs3Lkzq/c1jJFL1nMflnCpou2RY4z8u2hzKbtulXDpgm2r627eIcRSi70cuLyw7R2prWUn8BXgEb75dSm1vViYMeEfZd792Hc9+T4yaFVc/tmOjz/YqefZtqCNlX/I6LatkbDru+uqbasPnmQhxBIuXwH+Jff7sNSgPwn8A7AdeLNvfl1KgxAuvi/7THv5fBiUKq7rz7ZtFWEfPNV88VkuoYt13VWhV5dYwuVu4Izc7/8H3AfMS39fBtzkm1+X0iCEi++H3ceXry/D/JBnO4x76svIpQv4Li/eNXfgmSTgjbELlxH82Qv4Te73kcAGY8xD6e8bSBYOU0o4oOLJFLffcUf5cVXbh8369bB6NWzblvy+/fbk9/r1wy1XGb7Pdlj3dO65sGDB7tsWLEi2t5X/3Llw110gAkuXdrPe6rJyJWzaBFNTyd+VK4ddIv92YCYQIlx+ATwJQEQeDRwCXJ/bv4jE9qKU4Ntw9O3lW7sWtmzZfduWLcn2rlH1DPfZZ/ffg76n9eth/nxYtQr23BPGxpLGfmICLr88XqO4cmWS38REkn92nR07kv1d7hjMFNruQHSKqiFNMZGs1/Ib4K+Az5LYWJbm9l+KqsWs+AzTu6orrqJPw/wy7zvYFVInY5D3NMz67rOarGuefiF0UV1XFyLZXB4L3MKuNVzemtu3B4lN5lLf/LqUBiVcfKnS91dNfhumzaNvDZRPpNxB3tMwn1+fOgZF+ixcZhI24eKtFjPG/Ax4CnBwOmI5O7d7AbAaOK/uCErZxcqVsHVr8qlnuuL162HjRrjuut1148O2efRtmP/LX5Zvz9tdBnlPw7Sx9U0Fq/SLEJsLxpidxpjvGWPuKGz/rTHmKmPMpqilmwWsX58Ii5GRaoOqTYAMy+YxKDtBXVasSFIRnwY1s02Mjia/27ynYTbwNiFa9fwUxZuqIU1VIhmlPBl4DvDcYgrNrwtpWGoxX327TXXSlmrDpmrrul2oT2UfdnnKnlUfXMtVLdYNiGRzWUAyWXIbu2bl59MUsNM3vy6lYQkXX3172TGZAGlDZ+9q8LpsZ/FprHcZVKc60Xh2ycA7bGHniwqXbhBLuFyRCpDPAK8DXlGWfPPrUhqWcPEZddgi0VatG9O0MXAJjy4bgkMEnzZQ0+lyxyGP1l03sAmXPQI0aMcC/2aM6cBUpJnBAQck9pOy7Rlr1yafdxGRRDee2QFe8QrYmc4y2nPP6muuXw8nn5zYbyYmds8jw2Vk9in3sOjbJNSuoc9PiUWIQX8+SRwxJRI+XklVH7UxuwuFzPgMcP/95R5jvp5lLiNzlz3E1AOqGfr8lFiECJcbSGfoK3Eozpgu80qq+qgnJnb97+sx5nucS3j4lHtYdFnw9QF9fko0qvRlxQQcDtwLHOZ7Tl9S1yZR5vGxqfjaQEJsJV0yMofi6+2kevty+lD3WnfdgEg2l9XAz4CNIvJV4DamxxIzxpiTI8g8JSUbDaxdm6jIDjhgup3E1wYSYitZubIbI5E69LnsXUCfnxKDELXYSSSz80eAZwN/nm4rJiUyruiuvqoMVXkMnmyy6UyMOqwoNkLCv4x4pDltFlYpx9cG0mVbyUxk2KF5FGWYhKjFlA7jq8pQlcfgsDlQaB0oM52g2GIAIrJQRI4SkZUiMt7k4iIyIiJnisgtIrJVRO4UkQtEZKHn+aYibW5SLkWJgc4ZUWYzQcJFRNYAdwFfAD5AEiUZEVmcCodTA6//buBC4AfA6cDHgNcCV4uIb9muJ7H/5JM6FQwQtSuUo3NGlNmMt3ARkRcD7wWuBU4BJNtnjLkHuAb404D8nkIiUK40xhxnjLnCGPM6ktAyRwAneGZ1mzFmXSF9xLccSkJdAdFVu0IXBJ46UCizmZCRy18D1xpjjgWuKtl/A/D7Afm9jERAXVTYfgWwBVjlm5GIzBORRQHXVnI0ERBdXOa4KwKvDw4UXRDCyswkRLg8FfikZf9/A4sD8nsGSSDMr+c3GmO2Ajem+314CYkw+p2I3CMil4jIXgHlmPU0ERBdtCt0SeC53MiHSVeEsA0Vfv0lxFtsJ3ZhtD/wQEB++wP3GWO2ley7C3iWiMwzxjxkyePrJHaaHwOPBF4AnAYsF5FnGWMqDfsisppkYijj4+NMTk4GFH0Xmzdvrn1uV7jjjuXktJy57YbJyeus5y5efDh33z2/ZPtWJic3xipiEL73MxPqrglnnXU4W7bsXndbtsBZZ21lyZLh1F2eDRsWc/75B7JtWzLD4fbb4eSTd3Lzzbdy+OGzu+56QdXU/WIiMZx/Nv1/jGTU8bz09wjwXeDfA/L7CXBHxb4PAAbY2ze/3LlvSM9d63tOV8O/DGrRpiZh1ru4/ofv/cz2ECJdXjrBGHs9zva66wpYwr+EqMXeAzxfRN4G7JNuGxGRA0lGD08BLg7IbwswWrFvfu6YUN4FPAQcU+PczjBIlUUTw3MX7QpqSHezYgXMm1e+ryvebF1UuSoBVEmdsgScQzJi2ZH7m61CeXZgXp9Pzx0t2fcV4N6Q/Arn/xT4oe/xXRy5DHrRpj4EKwzB535ma+83PyIujl6GPerMoyOX7kOkwJUYY94oIlcCK4FlJIrtHwEfNMbcECjXvgH8EfBMEpUbACIyHzgE+I/A/PLnPxYYvtK4AYPutc20mfsz7X5iURwRG5OMOI2pXjxuWJx7blLWvHOGjkD7Q3D4F2PMt4BvRbj2R0jsI2eQEy7AqcAC4GEFkIg8AZhrjLklt23MGHN/Sb5vI7mvqyOUcWh0ebVHpb+UedJlgmXTpqEUqZJMyJWtnFply1+xIvmrtv7hM7TYYsaY74nIe4HT0tHQ54CDSGboXwd8KHf4l4AJdncBeqOIHE4yqfMOYBGJt9gRwNeAS1q/iRbRXpvSBn2zY4SMQNevh40bE0G0dGm3RmGzkUrhIiL/UiM/Y8LWczkD2ETiEnwMcB+JUDjbGDPlOHcSeDLwChLvtZ0kKrq1wIUmmS/TW3zWcVGUUGbqiLjKAQb0mxkWtpHLSSXbTPq3OInApNsMAXG9jDE7gQvSZDtuacm2qyiPFDBjULuBEpuZOiLWCNTdo9IV2RTWagHGSWbOXwU8C9g7Tc8GPk1ih2kUJVlRlHbpout4DPqm7psNhNhcLgTuMcYcV9j+VeBYEbkmPeblsQqnKEp8ZuKIeKaq+/pMyCTKF2D3wLo6PUZRFGWg6MTZ7hEiXEZJ5o9U8ViqZ9writIxVqzY5brbdzJ132jaAs0UdV+fCREu/wmcLiLPLe4QkeUka7N8JVbBFEVpj8xt97rrZk604ZUrYevWZN5O1yJQz0ZChMvrgO3AtSLyNRF5f5q+Bnw53XdWG4VUBoOGN58d9CHUvtJ/vIWLMeYHwNNJZtYfxK4lhQ9Ktx1qjLmpjUIq7aMNzuyhS+vdKDOXkJELxphNxpgTgb2A/dK0tzHmRGPMbW0UUBkM2uDMHtRtVxkEQcIlIw2IeXeaXDPplR6gDc7soco9V912lZgExxYTkScBTyIJuTJtuT9jzAcilEsZMDpPYPYwU2fpK93CW7iIyDjwfuDobFPJYYZkFUmlZ2iDM3vQuHXKIAgZubyHRLBcRuIdVhbuXukp2uDMLmbiLH2lW4QIl6OBfzDGnNZWYZThog2OoiixCDHojwDfaasgiqIoyswhRLhcDxzcVkEURVGUmUPoDP1jReTFbRVGUZTBoNEYlLYJsblcBmwGPioiPwduI1n9MY8xxhwZq3CKosRHV21UBkHIyOXxwFyS9ep3AAcAjyukx8cuoKIocdFoDMog8B65lC01rChK/9BoDMogqBX+RVG6iNoR/NDwL8ogCBYuIvJIETlORP4qTceJyCPaKJyi+KJRnf3RVRuVQRAkXETkFOBO4GPAeWn6GPAzETk5fvEUxQ+1I/ijqzYqgyAkttgLgctJvMTeBGRrtzyFZBXKy0XkHmPM1dFLqSgO+m5HyJYbnpwczPU0GoPSNiEjl9cDNwOHGGMuNsZ8KU0XkywidgvwN20UUlFc9NmOMBOXHFaUEOFyMPA+Y8zm4g5jzO9IIibrDH5lKPTVjqC2ImWmEiJcykLs5zFNCqIoTcjsCBMTibdYX+wIaitSZiohM/S/A5wkIpcaYx7I7xCRRcBJaGBLZYj00Y7Qd1uRolQRIlzeBVwJfEtELgZ+kG7PDPpPBI6LWzxFmdnoCqDKTMVbLWaM+RRwGrA/cAmwIU0Xp9tOM8Zc1UIZFWXG0ldbkaK4CBm5YIy5VEQ+RLJw2OPSzbcBXzTG/CZ24RRlpqMrgCozlSDhAmCM+TXJxElFUSLQR1uRoriwqsVEZI6IvFNEXu04bo2IvF1EXB5lSgQ0hpaiKF3HZXNZBfw18A3HcV8nmUD5shiFUqrReRGKovQBl3A5HthgjPmm7aB0/+dR4dI6Oi9CUZQ+4BIuh5J4hPlwLXBYs+IoLnRehKIofcAlXPYB7vHM6970eKVF9ql4wlXbFUVRhoFLuPwO2NczrzFgWtwxRVEUZfbhEi43AX/kmdfR7ArDr7TEL38Ztl1RFGUYuITLlcBRIvIi20HpWi9HA5+IVTClnD6HllcUZfbgEi7/CPwY+KiInCsiS/M7RWSpiJwDfBT4YXq8NyIyIiJnisgtIrJVRO4UkQtEZGFIPmleC0TkNhExIvKe0PP7goYLURSlD1iFizHmQeAY4KfA3wI/EZFficgdIvIr4CfAG9L9f2KM2Rp4/XcDF5IEwTydZOb/a4GrRSRoCWbgrcCjA8/pHbpEraIofcAZ/sUY82MROQQ4FXgJSRTkxwC/Ba4nUYX9UyqIvBGRLJrylcaYF+e2/5QkGOYJwIc883o6cAbJapkXhJSjj2i4EEVRuo7X6MAYs9UYc4kxZrkxZl9jzLz074p0e5BgSXkZyQJkFxW2XwFsIYkO4ERE5qTnXENiI1IURVGGTHDgyog8A5giCR3zMMaYrSJyY7rfhzOBZcCLXQcqiqIog2GYwmV/4D5jzLaSfXcBzxKRecaYh6oyEJHHAX8HvNUYs6nocGBDRFYDqwHGx8eZnJwMKfvDbN68ufa5ynDRuusvWnfdZ5jCZQFQJlgAtuaOqRQuwD+QrCdzYejFjTGXA5cDHHbYYWbFihWhWQAwOTlJ3XOV4aJ111+07rrPMIXLFmBxxb75uWNKEZFVJHNrnmuM2R65bIqiKEoDQt19Y/JzYF8RGS3Zt4REZVY6aknPuRD4HPALEXmiiDwRmEgP2SvdtncL5VYURVEcDFO4fCO9/jPzG0VkPnAIcIPl3D1J5rQcA/wolybT/avS36fELLCiKIrixzDVYh8hmYB5Bsl8mYxTSWwtDy9/JSJPAOYaY25JNz0A/FlJno8GLiVxS/5n4LvRS60oiqI4EWPM8C4ucglwGvBJEhXXQSQz9L8CPM8YM5UetwmYMMZYl1FOvcV+CrzXGHNaQDnuBW6vcQuQRI2+r+a5ynDRuusvWnfdYMIYUxoZZZgjF0hGLZtIXIKPIXlZLgHOzgTLIKh6OD6IyA3GGF0krYdo3fUXrbvuM1ThYozZSRKuxRqyxRiz1DO/TSSz/hVFUZQhMkyDvqIoijJDUeHSnMuHXQClNlp3/UXrruMM1aCvKIqizEx05KIoiqJER4WLoiiKEh0VLoHEXJpZaYaI/J6IvFVENorIvSLyOxG5UUTWltWHiBwoIp9KV1N9QESuF5HnVeS9l4hcIiJ3pfV8k4isERH1RmwJ11LlWn/9YtjzXPrIu0kmen6SxIU6m/j5NBE5apDzcxReBbwG+DRJRIftwBHAOcDxInJ4tpBdGuXhv4AdwHnAb0iiQXxeRJ5vjNmQZSoi84AvAk8jmXd1M/B8kugP48BbBnFzs5DKpcq1/nqIMUaTZyJZ4nkK+ERh++mAAU4cdhlnUwIOA/Yq2X5OWh+n5bZ9FNgJHJLbtogkMsOtpM4t6fa/TM8/vZDvJ0iWgJgY9r3PtAQ8nURwvC599u8p7Nf661lStVgYUZZmVuJgjLnBGPObkl0fSf/+PkCqInshMGmMuTF3/mbgn4DfY/eVT08kqc8rCvleBMwFXhqh+EqKa6lyrb9+osIljMqlmYEb8V+aWWmXx6Z/707//gEwCny15NiN6d9nQGJTI+lFfzut1zxfJ+kRaz3HJVuqvCoeoNZfD1HhEoZraeZ9U32vMiTSXvCbSFQsH0o375/+vavklGzbkvTvo0iWdJh2bFrv9+WOVRpSXKq84jCtvx6iwiUM36WZleFxEfCHJMFPb023ZXVSVnfFerMdmx2vdRwPn6XKtf56iHqLhdFoaWalXUTkbSSqlcuNMe/I7crqpGzV02K92Y7Njtc6jkDAUuVafz1ERy5h1F6aWWkXEXkL8EbgX4FXF3b/PP1bpg7JtmVqlF8BD5Ydm9b7vpSrZ5QAApcq1/rrISpcwmiyNLPSEqlgeTPwfuAUk/qd5vgeiZrkD0tOPzz9ewOASeYpfYtk3lKxE/FMEm9BrefmhCxVrvXXQ1S4hPEREm+TMwrbpy3NrAwGETmbRLB8EHiVKZnEmrqsXg2sEJGDc+cuImm8fsTuHoD/RlKfqwtZnUHiKPARlKZkS5UX01+m+69Jf39a66+faFTkQHyXZlbaR0ReA7wHuIPEQ6z47O82xnwxPfaJJA3QdpIoC78l6RQ8FTjGGPP5XL7zSGaDHwxcTDLD+wXAscA5xpg3tXhbs5qqpcq1/nrIsGdx9i0Bc4CzSGYFbyPR314ILBp22WZbAt5HMpKsSpOF4w8CrgJ+TWLU/U/gqIq89yYRXD9P6/kHJJ0Kafu+ZnMCllIyQ1/rr39JRy6KoihKdNTmoiiKokRHhYuiKIoSHRUuiqIoSnRUuCiKoijRUeGiKIqiREeFi6IoihIdFS6KoihKdFS4KIqiKNFR4aIoiqJER4WLoiiKEh0VLooyIERkjojoKojKrECFi6K0gIicJCJGRI4SkTeJyE9Iltg9Pt3+Pss5K3Lb3pJuO1BE3i4iPxORbSLyHRF5QUkeLxeRr4vIr0XkARG5TUTWi8ijW7xdRZmGLnOsKO1yPjAXuIIkTPytNfN5P0m4+fOBeSRrk3xKRH7PGLMJQET+PD3ueuBskhUZ/wdJuPnFwL11b0JRQlHhoijtsifwNGPMw+u2i0idfO4D/rdJw5iLyLUk65v8BfC36THHAr8jWVdoR+7cs+tcUFGaoGoxRWmXy/KCpQF/b3LrYxhjvgFsBp6UO+Y3JCswHiM1JZiixEKFi6K0yw8j5XNbybb7gbHc77cDtwOfAu4VkU+IyCki8ohIZVAUb1S4KEq7hIxabGrqnRXbHx6hGGN+BDwZOIbE9jJBYuu5RUSeEFAORWmMChdFGTy/BPYp2f74phkbY7YZYz5njDnLGHMYiaDZH3hd07wVJQQVLooyeH4I/GF+zouIPAp4ZZNMRWTfks3fSv+WCTNFaQ31FlOUwfMeYB3wZRH5ILA3cCqJveQxDfL9goj8msQV+c4035MAA3ywQb6KEowKF0UZMMaY9SKyP3AacCGJsf6twBTwPxtkfRlwPIl78j4kBv9vA6cbY65tVGhFCURy3o2KoiiKEgW1uSiKoijRUeGiKIqiREeFi6IoihIdFS6KoihKdFS4KIqiKNFR4aIoiqJER4WLoiiKEh0VLoqiKEp0VLgoiqIo0VHhoiiKokTn/wMiwo30omGE1AAAAABJRU5ErkJggg==", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "fitFullResult = fitAnalyser.get_fit_full_result(fitResult)\n", "condensateFraction = fitFullResult['A_amplitude'] / (fitFullResult['A_amplitude'] + fitFullResult['B_amplitude'])\n", @@ -1248,9 +1071,29 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 20, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The total Ncount is: 849.84 ± 73.69\n", + "The total Ncount from fit is: 853.43 ± 66.18\n", + "The Ncount of the BEC part is: 528.79 ± 65.37\n", + "The Ncount of the thermal part is: 324.64 ± 35.62\n", + "The x-axis width of the BEC part is: 4.06 ± 0.28\n", + "The y-axis width of the BEC part is: 11.03 ± 0.36\n", + "The x-axis width of the thermal part is: 15.30 ± 0.91\n", + "The y-axis width of the thermal part is: 12.99 ± 0.61\n", + "The x-axis center of the BEC part is: 47.44 ± 1.82\n", + "The y-axis center of the BEC part is: 51.13 ± 1.83\n", + "The x-axis center of the thermal part is: 49.62 ± 1.54\n", + "The y-axis center of the thermal part is: 51.17 ± 1.37\n", + "The condensate fraction is: 0.6180 ± 0.0464\n" + ] + } + ], "source": [ "val = Ncount.mean().item()\n", "std = Ncount.std().item()\n", @@ -1307,17 +1150,7 @@ }, { "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [], - "source": [ - "i=0\n", - "da_test = read_hdf5_run_time(filePath, datesetOfGlobal=dataSetOfGlobalDict[dskey[groupList[i]]])" - ] - }, - { - "cell_type": "code", - "execution_count": 8, + "execution_count": 21, "metadata": {}, "outputs": [ { @@ -1705,7 +1538,7 @@ " z_offset_img: 0.189\n", " runs: [ 0. 1. 2. 3. 4. 5. 6. ...\n", " scanAxis: ['runs']\n", - " scanAxisLength: [550.]