From e1e1472270e75d80398211d460658b1d08eff26f Mon Sep 17 00:00:00 2001 From: "Peana, David" Date: Wed, 17 Feb 2021 16:11:43 -0500 Subject: [PATCH] modified atom number script and file loading script --- .../AtomNumberEq-checkpoint.ipynb | 396 ++++++++++++++++++ .../FileLoadScript-checkpoint.ipynb | 156 +++++++ AtomNumberEq.ipynb | 396 ++++++++++++++++++ FileLoadScript.ipynb | 156 +++++++ 4 files changed, 1104 insertions(+) create mode 100644 .ipynb_checkpoints/AtomNumberEq-checkpoint.ipynb create mode 100644 .ipynb_checkpoints/FileLoadScript-checkpoint.ipynb create mode 100644 AtomNumberEq.ipynb create mode 100644 FileLoadScript.ipynb diff --git a/.ipynb_checkpoints/AtomNumberEq-checkpoint.ipynb b/.ipynb_checkpoints/AtomNumberEq-checkpoint.ipynb new file mode 100644 index 0000000..def4d14 --- /dev/null +++ b/.ipynb_checkpoints/AtomNumberEq-checkpoint.ipynb @@ -0,0 +1,396 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Amplitude, Waist_x, Waist_y to Atom Number" + ] + }, + { + "cell_type": "code", + "execution_count": 270, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import mpmath as mp\n", + "\n", + "nm = 1e-9\n", + "um = 1e-6" + ] + }, + { + "cell_type": "code", + "execution_count": 271, + "metadata": {}, + "outputs": [], + "source": [ + "raw_pixel = 3.75 * um\n", + "mottolensdistance = 15+7\n", + "lenstocameradistance = 6\n", + "magnification = mottolensdistance/lenstocameradistance\n", + "pixel = magnification * raw_pixel\n", + "binpixel = pixel * 4 " + ] + }, + { + "cell_type": "code", + "execution_count": 272, + "metadata": {}, + "outputs": [], + "source": [ + "wavelength = 852 * nm\n", + "sigma_0 = 3*wavelength**2/(2*np.pi)\n", + "\n", + "def atomnumber(A, sigma_x, sigma_y):\n", + " N = 2*np.pi*mp.polylog(2,A) / (sigma_0 / np.sqrt(sigma_x**2 * sigma_y**2))\n", + " return N\n", + "\n", + "def atomnumber_taylor(A, sigma_x, sigma_y):\n", + " N_taylor = (2 * A * np.pi * sigma_x * sigma_y) / sigma_0\n", + " return N_taylor" + ] + }, + { + "attachments": { + "28Jan2021132546_H13M26S48MS890_Detuning_MOT_Load_F4_-4.28_fit.png": { + "image/png": "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" + } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "![28Jan2021132546_H13M26S48MS890_Detuning_MOT_Load_F4_-4.28_fit.png](attachment:28Jan2021132546_H13M26S48MS890_Detuning_MOT_Load_F4_-4.28_fit.png)" + ] + }, + { + "cell_type": "code", + "execution_count": 273, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Exact atom number : 109360.607622199 \n", + "Taylor atom number : 89436.85072182346\n" + ] + } + ], + "source": [ + "A = 0.61898\n", + "sigma_x = 6.76114 * pixel\n", + "sigma_y = 6.23527 * pixel\n", + "print('Exact atom number :',atomnumber(A, sigma_x, sigma_y),\n", + " '\\nTaylor atom number :', atomnumber_taylor(A, sigma_x, sigma_y))" + ] + }, + { + "attachments": { + "28Jan2021132546_H13M26S18MS127_Detuning_MOT_Load_F4_-7.34_fit.png": { + "image/png": "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" + } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "![28Jan2021132546_H13M26S18MS127_Detuning_MOT_Load_F4_-7.34_fit.png](attachment:28Jan2021132546_H13M26S18MS127_Detuning_MOT_Load_F4_-7.34_fit.png)" + ] + }, + { + "cell_type": "code", + "execution_count": 274, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Exact atom number : 164010.308492465 \n", + "Taylor atom number : 143447.41598316727\n" + ] + } + ], + "source": [ + "A = 0.45058\n", + "sigma_x = 8.20859 * pixel\n", + "sigma_y = 11.31586 * pixel\n", + "print('Exact atom number :',atomnumber(A, sigma_x, sigma_y),\n", + " '\\nTaylor atom number :', atomnumber_taylor(A, sigma_x, sigma_y))" + ] + }, + { + "attachments": { + "28Jan2021132546_H13M26S38MS724_Detuning_MOT_Load_F4_-11.75_fit.png": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAoAAAAHgCAYAAAA10dzkAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/Il7ecAAAACXBIWXMAAA9hAAAPYQGoP6dpAADsn0lEQVR4nOydd1yW1RfAv2yUpQiK4kAURba4R640d2WuTHNXVlZqZVmWadumpWbD1F823A0zzSzNvXHkyIFbQFGmsu/vD/BN5LkPIODA8/183o9yznPuc5/5nvfee86xUkopBEEQBEEQhDsG65vdAUEQBEEQBOHGIg6gIAiCIAjCHYY4gIIgCIIgCHcY4gAKgiAIgiDcYYgDKAiCIAiCcIchDqAgCIIgCMIdhjiAgiAIgiAIdxjiAAqCIAiCINxhiAMoCIIgCIJwhyEOoCAIgiAIwh2GOICCIAiCIAh3GOIACoIgCIIg3GGIAygIgiAIgnCHIQ6gIAiCIAjCHYY4gIIgCIIgCHcY4gAKgiAIgiDcYYgDKAiCIAiCcIdR4g5gWloaL7zwArVr16ZevXoEBwczZ86cAtkeO3aMGTNm5JJ16dKFgwcPlkRXbzoXLlygRYsWhIWF8eabb+b5u6AMHjwYb29vRowYkUt+9OhRrK2tef3114u764UiLi6OGjVqsHHjRots6tSptG3bFqXUdbX5+++/U6dOHS5dumSRzZ8/n/r165Oenl7o9k6ePMm9995LcHAwwcHBhIWF8eeffwIwY8YM3nvvvevq563ApEmTCAoKIjQ0FH9/f55//nkAzpw5w1133XWTe3f9KKWYPHky/v7+1KtXD39/f95///1c99Tnn3+Ov78/YWFhxMbG5vm7sKxevZrly5db/r58+TJhYWE4Ozvz448/mtpOnjyZXr165ZE/88wzPP3004XqR0Hvyddee41Ro0YVWqejS5cuTJ06NY88NDSUxYsXa+1mz57N/fffX6h9FZZff/2VBg0a4ODgkOe4zHRXExsbS1hYmOVTp04dbG1tuXDhQq7t/vzzT2xsbPj4449zyadPn2753gsNDSUlJSWXfv/+/ZQtWzZXH4ra75iYGCpVqpTr/F6+fJmBAwcSFBREUFAQ9957L+fOnQNg48aNluMLDAzkscceIzU11XJcjRs3JiAggMDAQMaOHUtWVhaQ/f1sY2OT6/wcOXIEgMjISBo0aEBYWBhBQUH07t2bixcv5msH8O677xIQEEBYWBhNmzZly5YtFt2cOXMs7+P69euzbNkyw3MgFBBVwvTr10898MADKikpSSmlVGRkpPL391dfffVVvrZ//fWXCg0NLeEe3jr88MMP6p577tH+XVAGDRqkPvroozzyl19+Wd19992qZs2aKisrqyhdLTK//fabqlOnjrp06ZL6999/VcWKFdXRo0eL1Objjz+unnrqKaWUUtHR0crb21vt2bPnutrq2rWr+vDDDy1/nzt3Th0/frxI/bsVWLBggWratKm6dOmSUkqp9PR0FRERcZN7VTyMGzdOtWjRQp07d04plX3NWrRoocaPH2/Zxt/fX23YsEH7d2GZMGGCeuaZZ/LIW7durZYsWWJqe/bsWVW2bFl1/vx5iyw1NVVVqFChUNckPT29wNvq+pufTsfChQtVeHh4LtnWrVuVp6enSktL09rNmjVL3XfffYXaV2E5ePCgioiIUC+//HKe4zLTmfHee++pbt265ZLFxcWpRo0aqW7duuV67/7444+qefPmKi4uTimlVExMjMrIyLDo09LSVMuWLdVDDz2Uqw9F7ff999+vhg4dmuv8fvTRR6pnz56W9/7w4cPV888/r5RSKjk52XKtMjMz1f3332959+3YsUMdOXJEKaXU5cuXVYsWLdSsWbOUUtnf5W5uboZ9SElJsbxjlFLq6aefVk8//XS+djt37lTVq1dXiYmJSimlvvnmG9WoUSOllFKxsbHKxcVFnT17Viml1Nq1a5Wnp6dhO0LBKNERwEOHDvHjjz/yxRdf4OTkBICPjw8ffPABEydOBLJ/QQcFBVl+nTRo0ICIiAgARowYwcGDBwkLC+Pee++12F/Rt2nThmeffZZWrVpRvXp1XnnlFZYtW0bLli3x8fHhww8/tPTlajuAhg0bsnr16kK3cy3vvvuu5ddd06ZNLSNQ7733HoGBgQQHB9O/f3/i4+MBSE9P58UXX6Rx48aEhYXRp08fLl68yB9//MHzzz/Ppk2bCAsLM/y7KGRmZjJ79mw++eQTXFxcLKNZkP3Lv0+fPnTv3p06derQrVs39u7dS8eOHalTpw79+vWz/OobPHgwQ4cOpXnz5tSpU4dBgwZx+fLlQvenU6dOtG7dmueee45BgwYxadIkatasaenr888/b/m1+tRTT5GWlpZvm++99x7Lly9nzZo1jBgxgqeffpp69epdV1unTp3C29vb8reHhwfVq1e3nK8rv77T09N54oknqFOnDk2bNuXZZ5+lTZs2wH/39uOPP05ISAjBwcHs3r2bwYMHExwcTJMmTTh9+jQAe/bsoWXLloSHhxMQEMAbb7xh2r9z587h4+PDpk2bAFi4cCGhoaH5XotTp07h7u6Oo6MjALa2toSGhgLZv8zLlStn2fann36iXr16hIaG8sILL+Dh4cGxY8eA7Odp/PjxNG/enGrVqjFjxgxmzZpFs2bN8PHx4YcffrC0079/fxo2bEhISAhdu3YlKipK27+UlBS8vLw4efKkRfbSSy/xwgsvmB5XUlISH374IV988QUeHh5A9jX74osveP/990lOTqZXr14cOXKEwYMH06tXrzx/nzt3jnvuuYfg4GBCQkIYMmSIpf3333+fxo0bEx4eTqdOnTh+/DgRERHMmDGDb7/9lrCwMCZNmmTax2vx8vKiQ4cOzJ071yL78ccf8fHxITQ0VHverlynF154gfDwcKZOnZrrnszvXjp58iTt2rXD39+f7t27a0c+jY75Wu69915OnjzJ7t27LbKvv/6agQMHEhsbS9u2bWnQoAGBgYGMHDnS8h65mtWrVxMWFmb5e+/evfj4+Fj+XrFiBS1btqRBgwY0btyYv/76K99zC1CnTh1CQ0OxtbUtlM6MmTNnMmzYsFyykSNHMn78eCpUqJBL/t577zFhwgTc3NwA8PT0xMbGxqKfNGkSvXv3xs/Pr9j6PXPmTGrWrJlnJN/KyopLly6Rnp5ORkYGSUlJVK1aFYCyZctiZ2cHZM/YXb58GSsrKwDq16+Pr68vAI6OjoSFhVneAWY4ODhQpkwZIPt9npycbGnTDCsrK9LT00lOTgayZ4uu9DMrKwulFImJiXl0wnVSkt7lvHnzVEhISB75hQsXFKBiYmLUX3/9pQD1xx9/WGzq1q2rsrKyDEcAa9SooXbu3KmUyv6V3bNnT5WRkaEuXLigXF1d1ZNPPqmysrLUqVOnlJOTk7p48WIeO6WUatCggfrrr78K3c7VzJ49WzVq1MjyC+/ChQsqIyNDLVu2TPn7+1tsHnnkETVixAillFJvvvmmmjRpkqWNSZMmqSeeeEIplfdXsdmv5M8++0y98sorhjqjEcBff/1VNWnSRCml1JQpU1S/fv0sugkTJqiaNWuqCxcuqKysLNWqVSvVpEkTlZCQoNLT01VoaKhaunSppe2AgACVkJCgMjIyVLdu3dSbb75p2I/8SEhIUB4eHqpt27a55NOnT1etW7dWKSkpKj09XXXu3Fm98847BWpz3bp1yt3dXbVo0UJlZmZed1vfffedcnZ2Vs2bN1djxoxRa9asseiuHimZOnWqat++vUpLS1NpaWmqffv2qnXr1kqp7BFsGxsbtW3bNqWUUuPHj1cVKlRQ+/fvV0op9cQTT6jnnnvOci5SUlKUUkpdunRJhYWFqY0bN5r28e+//1a+vr5q8+bNytvbWx08eDDf4zp79qyqV6+e8vHxUQ8//LCaOXOm5Zf61b/Mo6Ojlbu7u6WvX3/9tQJUZGSkUir7eRo1apRSSqlDhw4pR0dH9frrryullNqyZYvy8PCw7DMmJsby/7fffls99thjpn186aWX1Lhx45RS2SMJXl5e6tixY6Y2mzdvVq6uroY6V1dXtWXLFku/r34PXP33hx9+qB599FGLLjY2Viml1LfffquGDx9uGb353//+p7p06aKUKtoIoFJK/fzzz7necR07dlTTp09XSunPW2RkpALUnDlzLPqr+2F2L02YMEF5enpaRlEef/xx9cgjj+Rpw+yYr2XMmDEWu8uXL6ty5cqpffv2qcuXL1tGcjIyMlTXrl3V999/r5TK/W679j2/Z88eVaNGDaWUUkeOHFFNmzZV8fHxSqnse83Ly8tyfKGhoer06dNmp7jYRj3Xr1+vKlWqlGvEdcGCBWrgwIFKqbzv3fLly6s333xTNW/eXDVo0EBNmTLFotu0aZO6++67VVZWlrYPhe330aNHVcOGDdWlS5fyfHdcvnxZ9enTR7m5uSl3d3fVuXNnlZmZadFHRkaqkJAQ5eTkpPr06aNSU1Pz7PPs2bOqUqVKauvWrRYbW1tb1bBhQ1W/fn01ceLEXCOcqampKjQ0VJUrV061atXK8j2Zn93kyZNVmTJllLe3t/L19VWnTp2y6ObOnaucnZ1V9erVlaenp9q1a5fh+REKxi0RBOLj48Pdd98NQJ8+fYiKiso1AmBGr169sLGxoXz58vj6+tKtWzesrKzw9vbG09OzQL9WrredpUuXMmLECMsvvPLly2NjY8Mff/xB3759LaMpjz/+OCtXrgSyf+HPnTvXsvbh+++/JzIyskB9vJoRI0YUasRh5syZDB06FMgekVm2bJllTQbAPffcQ/ny5bGysiI8PJw2bdrg4uKCra0t9evX59ChQ5Zt+/Tpg4uLCzY2NgwbNuy6RyfXrl2Lg4MDR48eJSEhwSL/448/GDx4MA4ODtja2vLII49Yzl9+tGjRgoCAAEaPHo21tfV1t9WvXz9OnDjBs88+C8B9991nuMZq1apVDBgwADs7O+zs7Bg0aFAufe3atWnQoAGQPepcu3Zt/P39AWjcuLHlvF6+fJnhw4cTHBxM06ZNLSNMZtx1110MGzaM5s2bM3nyZOrUqZPvcXl5ebFnzx6+/fZbgoODmT59Os2bN88zKrpp0yZCQkIsfR00aBD29va5tunbt6/lGB0dHS3r2Ro2bMiFCxeIi4sD4LvvvqNhw4YEBQXx1Vdf5XtcTzzxBHPmzCE1NZUFCxbQuHFjatSoke+xFWSEwYymTZvy22+/8eyzz/LTTz9ZZi1+/PFH/vjjD8uapsmTJ3PixIki7esKXbp0ISYmhh07dnDq1CnWr1/PQw89BJifNzs7OwYMGGDYZn73UteuXfHy8gLg0UcfNXx+C3PMw4YN49tvvyUtLY3FixdTr1496tWrR1ZWFi+88AKhoaHUr1+fbdu25Xvtr2X58uUcPnyYVq1aERYWRq9evbC2trb0JSIigipVqhSqzetl5syZDBw40DL6FhUVxRtvvMGUKVMMt8/IyCAyMpK///6b5cuX8/nnn7N06VIuXbrEE088wZdfflnke/YKSimGDh3K1KlTLSNvV/P777+TlZVFVFQUZ8+epVy5crz66qsWvY+PD7t27SIqKorU1NQ86zcTEhLo3r07Y8eOpWHDhgBUrlyZ06dPs3XrVv744w/Wrl3LBx98YLGxt7cnIiKC6Oho/P39+fzzz/O1i4yMZPHixRw+fJhTp04xevRoy3smPj6eKVOmsGXLFo4fP87MmTPp0aNHgWZ0BGNK1AG84jhcO8WwceNGqlWrhqenp6GdlZVVgR+MK1NZADY2Nnn+zsjIALKnujIzMy26axfjFrSd6+HqY1FK8emnnxIREUFERAT79u0r8YWs586d49dff+X111/Hx8eHBg0akJ6ezrfffmvZpijHfz0vsQsXLjBixAgWL15M165dLY5WcbRvY2OTa6rletsqX748DzzwAB988AGfffYZ33zzTb4217Zf0PP60ksv4eHhwc6dO9m1axdt2rTJc48asXPnTjw9PQv8g+nKfps3b87zzz/P+vXriYyMZO/evQW2v4Lu2K48vxkZGaxbt45PPvmEZcuWsXfvXj788MN8j8vb25tWrVoxb948pk2bxsiRI/PtS0BAACkpKezbty+XfN++faSlpREQEJBvG82aNSMiIoImTZqwePFiGjVqRGZmJkopxo0bZ3lm9+zZw549e/JtryDY2NgwaNAgZs2aZQmMcHNzy/e8lS1bFmtr49d3Ye8lo2eiMMccEBBA7dq1+eWXX/j6668tU6QffvghMTExbN68md27d/PQQw8Z9sPs3ayUokOHDpZ+REREcPr06TzTpnFxcZYf1T169NAe6/WSlJTE/PnzLT+iAbZv387Zs2cJCwvDx8eHhQsXMmnSJF5++WUAqlevTr9+/bCxscHDw4MuXbqwadMmjhw5wokTJ2jbti0+Pj58/PHHfP3113l+PBaGhIQEdu/eTd++ffHx8eG5557j999/twysfPHFF/To0QNHR0fs7e3p37+/4VS6s7MzDz74YK7vhsTERDp16sR9993HmDFjLHIHBwcqVqwIgLu7O0OHDmXt2rV52rS3t2fIkCGW96eZ3aJFiwgODrY49UOGDGH9+vWkpaWxcuVKypUrR7169QDo3r07CQkJhksThIJRog6gn58f3bt359FHH7WsjTt27BjPPvssr7zyimW7Y8eOWW7GhQsXUqlSJapWrYqrq6tl7VxRqV27Nps3bwZgy5YtxRJJfO+99zJjxgxLH+Pi4sjMzKR9+/bMnz/fMqr1+eefc8899wBw//3389FHH1nOx6VLl/jnn3+K3Bcz/ve//3H//fdz8uRJjh07xrFjx1i4cCEzZ868rvYWLlxIUlISmZmZzJo1i/bt2xtuN3DgQJYsWWKoe/LJJxkwYACNGzdm8uTJ/Pnnn/z+++8AtG/fnv/973+kpaWRkZHBV199ZTl/S5YsYeDAgQXu6/W2deWXOmR/Ce3cuZNatWrl2a5du3Z89913pKenk56ezv/+978C9+1qLl68SNWqVbG1teXgwYMFGqWcOnUqFy9eZNeuXXz++eesX7/eovP397esL7yabdu25Yq4O3DgAOnp6VSrVi3Xdk2bNmX37t2W52Tu3LnX9Uv74sWLuLi4UKFCBdLS0iyjAPnxzDPP8PLLLxMXF5fr/ho3bpxh1KmzszPPPPMMjz32GOfPnweyIzgfe+wxxowZYxnNMyMyMhJnZ2f69OnDp59+yr///ktSUhL3338/M2bMsER+pqens3PnToACvaOmTp3KuHHjtPqhQ4fy/fffM2vWLIvzdL3n7Yqt2b20bNkyoqOjAfjqq68Mn1+zYzZi2LBhvPXWW2zZssUyYnPx4kW8vLxwdHQkKiqKBQsWGNr6+vpy/PhxS1Tq1T+0OnbsyB9//JFrjeHVUaFXKFeunMVB1L1zisK8efMsUfNX6Nq1K9HR0ZZ3aq9evXj11VctGRseeughS4T45cuXWb16NaGhoQQHB3Pu3DmL3ahRoxg6dGiBs2MY4ebmRmxsrKXN999/n3vuuYdVq1YB2ef4999/RymFUopff/2VoKAgAA4fPmzJlJCWlsaSJUsICQkBsh3fTp060alTJ8aPH59rnzExMRa7K6OG9evXB+D48eOW92dWVhYLFiywtGlm5+vry/r160lKSgKy38N16tTB3t4eX19fIiIiLGthN27cSEZGRp53l1BwCrcC9jr43//+x/jx4wkODsbe3h4bGxuef/75XL+kAgMDmT17Nk8//TT29vZ8//33WFlZERISQmBgIEFBQfj6+vLzzz9fdz/eeOMNBg0axOeff06zZs0IDAws8rE9/PDDnDlzhubNm2Nra4uTkxN//PEHnTt3Zu/evTRr1gxra2tCQkKYPn06AC+88AKpqak0adLE8sv7hRdeyLc/Z86coUuXLpYplBkzZnDmzJkCTQPPnDmTd999N5esQ4cODB48mB07dhT6uBs1akTHjh05d+4czZo1syw+//nnn/n555/56quvgGxnwyidxcKFC9m7d6/lhefk5GRZOL57924effRRjhw5Qnh4OJAdpHNlH4cOHcLV1bXAfb3ettasWcPzzz+Pra0tSinq1q1r6Hg89thj7Nmzh4CAAMqXL0/Dhg05c+ZMgft3hfHjx/Pwww8zZ84catWqRbt27Uy337FjB++//z6bN2+mYsWKzJ07lwEDBrB161YyMzOJjY3F3d09j11sbCwjR44kLi6OMmXKYGNjw3fffYenp6dl4TVAxYoV+eqrr7j//vtxcHCgQ4cOODs75woSKQidOnVi7ty51K1blwoVKtC+fXtDx/RamjZtipubG4899liuEapdu3ZZptSv5e2332by5Mk0b94cGxsbsrKyGDZsmCXNTX6sXr2aDz/80DIy+9577+Hm5kb//v0tAQ2QPbU3dOhQ6tevT48ePfjmm28ICwvjgQceyDWtdoV9+/ZZFtIb4efnR2BgIKdPn6Z169bA9Z83yP9euuuuu3jooYcsI2mzZ8/O04bZMRvRt29fRo0aRd++fXF2dgaynfhevXoRGBhIlSpVtD8Uq1SpwtixY2ncuDGVKlWic+fOFl3t2rX57rvveOyxx7h06RJpaWnUr1+f7777DoCwsDCWLVtmOA28atUqBg0aREJCAkopFi5cyPTp07n33ntNdde+xyD7HfrII4+YnPW8jBkzhscee4yAgACsrKzo2bMnvXv3ztfuevttxmuvvcajjz5qcfqunpL9888/+eSTTyz3/d13320ZoLky5ZqcnGyZFu7duzcvv/wy69at49VXX7XYtWvXzjL6uXv3bsv/s7KyCA8P55NPPgEwtevRowdbt26lYcOGODg44OTkZLnW4eHhvPzyy7Rr1w47OztsbW2ZP39+rpkIoZDclJWHV3GnpXq5EejSwNzItmNiYlT79u2Lff/33XefJRDhVmkrISFBKZWd1qF3794FDlgpKebPn28JyCgKV45LKaWWLFmi/P39i9xmQTl16pTy8vLK1YeMjAzVsGHDXIvXb1WuDgJp0aJFruMQBEG4FSjxEUDhxuPm5sb06dM5cOBAnkTaNwpPT88CB24UhvyS696Mttq3b09qaiopKSm0bNmy0El8i5uCjDIUhE8//ZR58+aRmZmJq6trrnVBJcmrr77K119/zTvvvIOLi4tFbmNjw9atW29IH66Xy5cv06xZMy5cuGAZmVi3bt1N7pUgCEJerJS6ztILgiCUOJMmTTKsqLBo0SLDNYm3CxEREQwePDiPfNCgQYwePfrGd0gQBOEOQxxAQRAEQRCEO4xbIg9gaWPDhg20bt0aPz8/fH196devH2fPni2Q7ezZszlw4IDl759//rlUj4hcb21WXb3jq9m8eTOhoaHUqVOHdu3aaRfRb926lebNm1O2bNk89UmTk5MZMmQIwcHB+Pv78+KLL1pqyx47dow2bdrg5uaWq5IBmNfXvIJSinbt2pkGVrz00kv4+/sTGhpKw4YNWbFihUVX0HqmKSkp3H///ZYqAh06dODw4cMWfZMmTSx9DQoKwsrKyhJ1eeU8X9FfHVBh1rdz587RvXt3QkJCqFevnrZiTH59GzJkCCEhIYSFhdGoUSNLVKMR7733HkFBQQQEBNCjRw9LHkIwryGamprKyJEj8fPzIzg4OFd+vaeffhofHx+srKzy5LAzs9NR0NqyYF5PNSkpiY4dO+Lh4ZHn/jGrtZpfHdYTJ07QvXt36tatS0BAAJ9++mm+xwTm9VuvxuxZg+zgq0aNGhEYGEhAQECueuFvvPEGtWrVolatWpaggfzavBLRGhYWRkBAAC+//HKB643r9md0TC1atCA0NDRXzXDIDjTr0KEDoaGhBAYGMm/ePIvutddew9PT03Id+vfvb9E9+eSTua6Ro6OjJYjCrK7v2rVrCQsLw8rKKtf9LwiG3MT1h6WSXbt2qQoVKlgqmyil1DvvvKPq1KmjkpOT87UvaAWB0sL11mbNLxglMzNT1apVS/35559Kqewanr169TLc9uTJk2rz5s1qxowZeSqvvPTSS+rhhx9WWVlZKi0tTXXq1EnNnz9fKZVdKWLt2rVq6dKleQKZzOprXuGDDz5Qw4cP19bFVEqpZcuWWSp1REREKFdXV0td7YLWM718+bL69ddfLXVAP/30U0u1kmtZsGCBCgoKsvxtdp7N+vbMM8+o0aNHK6Wygzc6duyopk2bVui+XV2BZ8eOHap8+fKGQSC///67qlevniXY4vXXX7dU2MmvhuioUaPUyJEjLX24sp1SSq1Zs0adPHkyTwWR/OwKilFt2SuY1VNNSUlRq1atUjt37sxz/5jVWjXTZWVlqfDwcMv9rZRSUVFR+R6DWf3WazF71k6fPq1q1Kih9u3bZznGK9d/zZo1KiAgQCUlJamUlBTVoEEDS3UiszYTEhIs90tqaqpq1KiRWrx4cb7HZLa/q8nKylLe3t5q5cqVSqnsZ7JatWqW69a8eXP15ZdfKqWyA+OqV69uqWxR0CokZ8+eVY6Ojpb7y6yu7xUAw+pVgnA1MgJYzEyePJmhQ4daEnBCdpoXNzc3S33UNm3a8NRTT9GoUSNq167Ns88+i1KKr776im3btjF69GhLeoMryWGhcLVlr7aD7HxK11Oj9lr2799Px44dCQkJISQkxBJkcvjwYdq3b2/5tX11gMXWrVtp164dDRs2pH79+pZ8YPnVZi0K27dvx9bW1pLG4rHHHuOXX34xTERbtWpVGjdujIODQx7drl276NSpE1ZWVtjZ2dGhQwdLnjJ3d3datmxpmGPOrL4mwD///MOPP/7Iiy++aHocnTt3tmT2Dw4ORill+bVf0Hqmjo6OdOnSxbL/pk2baivkGNU6vZ6+WVlZkZiYSFZWFmlpaVy6dMmwbmd+fbt6dMss396uXbto2bKlJWikS5culutkVkM0OTmZmTNn8uabb1r6cKVKBkCrVq0M+52fXUExO99m9VQdHBzyHT0uLKtWrcLBwSFXEFGlSpXytTOr33otZs/a9OnTeeihhyyJfh0cHCzHN2/ePB5++GGcnJxwcHCw5E7Mr00XFxdLwuyUlBRSU1MLlAzebH9XExsby7lz5ywpburUqUO5cuX47bffgOz7skuXLkB2YFxoaGiuUcCCMGfOHDp27Gi5v8zq+gpCYRAHsJjZsWMHzZo1yyNv1qwZ27dvt/y9b98+NmzYwO7du1mzZg3ff/89w4cPp2HDhnz00UdERERYXhxXc+DAAYYPH87u3bu5//77adeuHS+++CJ79uyhYcOGfPzxxwXq5/W0k5GRwX333cfgwYPZvXs3u3fvtjhq/fv3p3fv3uzevZsFCxYwbNgwjh8/TlxcHI8++ijffvst27ZtY+XKlTz77LOcPn2ahQsXUqVKFebNm8fChQvz/H0tYWFhBc6xd+LEiVzlw1xcXHB1dS10jr4GDRqwYMECUlNTSUpK4scffyxwecFjx44RGhqKh4cHbm5uPPHEE0B2Ut1HHnmEzz//XFuxxIhZs2bh6+tboLJoZkyZMoX77rsvj/zkyZOsWbMmz1TmlClTCAkJoVu3btpSXtf27ZVXXuHw4cN4eXlRsWJF6tWrl2+uMl3fXnzxRWrVqsUDDzzAokWLDCtgNGjQgD/++IOoqCiUUnz77bckJiZy4cIFPDw8mDFjBuHh4dSoUYOhQ4dact8dOXIEd3d33nrrLRo2bMhdd91lOs18heu1u5oNGzZw8eJFunXrpt0mLS2NsLAwPDw8OHToEBMnTixQ28nJyTRq1Ijw8HAmTZqUq9KGTrdv3z48PT158MEHLTkOjx49mu++QkNDGT16NDVr1qRq1ap89NFHBZ46vpp9+/Zx+fJl2rdvT1hYGE899ZTFqbz2efbx8SlwOb4NGzYQHBxMxYoVadeuneG9fy0F3Z+HhweVK1dm/vz5QPaP3YMHD1reEQ0aNGDu3LkAHD16lA0bNuR6fyxYsIDQ0FDatWtnWJkDyFVdBbJ/zLq4uFCxYkUqVapEfHx8garlCMK1iAN4kxg4cCB2dnaULVuWAQMGFLiebkFry5ZEOwcPHiQlJYV+/fpZZB4eHiQmJrJjxw7LS8rPz4+WLVuydu1aNmzYwNGjR+ncuTNhYWGWX8rXU4nlRtb9vMKLL75I9erVadKkCV27dqVx48b5jrhdQVdfc+LEiTzwwAOWkY6CsGrVKiZOnMi8efOKVD/0rbfe4vDhw7z99tt5dLNnz6Zbt254eHhYZG+++SZHjhxh9+7dDBs2jM6dO1uy9Jv17YcffiAgIICzZ89y5swZ/v3331yJdQvTt3feeYcjR44wf/58xo4da1iRpG3btjz33HN069aNpk2bWspM2tramtYQzcjI4Pjx4wQEBLBt2zY++eQT+vbta6mUoeN67a7m2tqyRujqqZphVmvVTJeRkcGff/7JK6+8ws6dO+nYsSN9+vTJd39m9VsLQ0ZGBn///TcLFixg69atXLx4kQkTJhS6nWtp3rw5e/bs4eTJk2zfvt2wXFlR+Omnn/j666+pX78+U6ZMoWXLlpZrOmfOHDZv3kxYWBijR4/m7rvvtuhGjBjBsWPH2LVrF6+//jp9+/bNU9Zs7dq1JCYm5hoMyK+uryAUFHEAi5nw8PBcC5evsHHjRks1CiNKU+1j+O94lFIEBgbmquV54sSJfCtdFJZ33nnHsmB6xYoVVK9ePdfLNDExkfj4+EI7kGXKlGHKlClERESwZs0aPDw8Cl1F5tr6mmvWrOHTTz/Fx8eHli1bkpCQgI+Pj2X69FrWrFnDkCFD+OWXX6hbt26h9n0177//PosXL+a3336jbNmyuXRKqVylyK7g7e1tGXHr0aMHrq6uuZx3Xd+mT59O//79sbGxwcXFhV69emlHOPLr2xXat29PYmKitibtE088wbZt29i8eTNt2rSxlJM0qyFavXp1rK2tLQvw69evT82aNfOt9Xu9dlcwqi1rxrX1VM0wq7VqpqtevTr169e33N8PP/wwO3bssJTt0mFWv7UwVK9ena5du1K+fHns7Ozo168fmzZtsuiufp6PHTtG9erVC9W+p6cnXbp00Zaku7YvBd1faGgoy5cvZ+fOncydO5czZ85YzqGPjw+LFi0iIiKCn376ifj4eIvOy8vLskykRYsW1K9fn23btuVqe+bMmQwaNCjXTEFB6/oKQn6IA1jMPPfcc8ycOTPXdNDkyZO5ePFirpGzuXPnkp6ezuXLl/nuu+8sI2PFVf+4du3a7N69m8uXL5ORkWEpp1MU6tatS9myZXOthTl//jwuLi6Eh4cza9YsIHs94Lp162jVqhXNmzcnMjIy1whnRETEddWVNePFF1+0OJgdO3akQYMGpKenW16Mn3/+Od27dy902aCEhARLTcvIyEg+++wznn322XztzOprrl27luPHj3Ps2DHWrVuHq6srx44ds4xaXc3ff//Nww8/zE8//URoaGih+n41H374Id9//73FGbqWP//8k4yMDDp06JBLfurUKcv/N23aRGxsLLVr1863b76+vpY6qOnp6axYscJShqqgfUtPT88VEbxlyxZiYmK0ZdWuRNpfunSJV199lbFjx1r6oqsh6uHhwd13322JYI6MjCQyMjLf0dnrtbuCUW3ZazGrp2qGWa1VM13nzp05deqUZf3vsmXLqFevnsVJ0WFWv7UwPPTQQ/z111+WaPnffvvNcl/17t2bb775huTkZFJTU/n666958MEH823zwIEDZGVlAdk/An/99dcCncPC7O/qDA9ffvklTk5Olh+40dHRlv2vWLGCffv28dBDDwG5n61Dhw4RERFBcHCwRZaQkMDChQvz/Egwq+srCIXipoWflGLWrl2rWrZsqWrXrq18fHxUnz59LJFfSmVH+j711FOqUaNGqlatWmrMmDGWiK5ffvlF1alTR4WGhqpff/1VzZo1yxLZdm3ZvF9++SVXxOQ333yjunbtavl7xIgRytfXV7Vo0UKNHTvWsm1h27maAwcOqA4dOqigoCAVEhKiZsyYoZRS6tChQ+ruu+9WISEhKjQ0NFck8/bt21Xbtm1VSEiIqlevnurYsaO6fPmyUkrlia68+u9XXnlFffbZZxZdaGioOn36tFKqYCXpNmzYoIKDg5Wfn59q3bq1OnHihEXXuXNntXXrVssxeXt7q/LlyytHR0fl7e1tiVjduXOn8vPzU/Xq1VPBwcFq0aJFljaSk5OVt7e38vDwUHZ2dsrb21u9+OKLSimlPv/8cxUYGKhCQkJUQECAeuqppyzHfDVmUZlKKVW7dm1VsWJFFRoaavns3r1bKaXUH3/8oby9vZWLi4tydnZW3t7e6qefflJKKfXTTz+pYcOGKaWyoyQB5evra2mjcePGufbTr18/9eqrr+bZ/913362CgoJUaGioatq0qSWqOr++HT16VN1zzz0qKChI1atXTw0dOtTw+M36lpycrJo3b64CAwNVaGioat68uVq1apXF9tr7IygoSAUEBKjatWuriRMnWp4ppZT6+OOPVb169VRISIgKDw9Xv//+u0V35MgR1aZNG8s9vXDhQovu0UcfVd7e3srGxkZVrFhR1apVq0B2+dGsWTP19ddf55FffUw///yzCg4OVsHBwSowMFA9/PDD6vz585Ztg4ODlZeXl7KyslLe3t5qwIABSimlFi1alOveGzlypEpJSclXp5RSK1asUKGhoSokJETdddddlutpRlZWlnrxxRdV3bp1VUhIiGrWrJnatm2bRV/QZ00ppSZPnqzq1aungoKCVN++fXNFsk6cOFHVrFlT1axZ0/Kc5dfma6+9ZrnugYGBasKECbnuCzN0+9u6davq3Lmz5e/XXntN+fn5qdq1a6vu3bvnes98+eWXqlatWqpOnTqqTZs2as+ePRbdwIEDLfd2eHi4WrBgQa79f/7556pVq1Z5+hUbG6t69uypAgICVEBAgHrggQfUuXPncm2DRAELBUASQd8E2rRpw6hRowzzYAkFY/DgwYSFhZnmvxMEQbgTsbKy4uLFi8UaJS6UPmQKWLgtuVLv2CwRtCAIwp3ElUTQlSpVMoyWF4SrkRFAQRAEQRCEOwz5iSAIgiAIgnCHIQ5gKSIuLo4BAwYQFBRESEgIQUFBlujfiIgISyUSHR4eHgVKcnxtfdiwsDBLBHBJsnr1asqUKUNYWBgxMTFAdsRnv379qF27NnXq1DFMIH0Fs9rABakbPGHCBMOasJCdCNnKyipXBZQtW7bQtGlT6tevT7169Zg8ebK2b0uXLsXf3x8/Pz8eeOABEhISDLczq/9rVj/0euulmtVCvpaYmBg6deqEn58fQUFB/P3334bbmdWxBfOavr169aJKlSqGtU7NdGa1gK+loDVg33rrLerWrYu1tXWu6w7m196sPqxZDeXC1LU9dOgQzZs3p06dOjRq1Ih//vnHcLs///yTxo0bExAQQGBgIGPHjrVErZpdp/yuoVlNYbPrezVZWVk89dRT1KpVi9q1azN16lTD7fI7XjOdWa1nM7vly5fTsGFDQkJCaNq0Kbt27bLo+vfvj5eXl6xPFm59bmIAilDMPPnkk2rUqFGWKLeEhAT177//KqVUrmhiHRUqVFCRkZH57qcgEbhKKZWenp5HlpGRka+dzv7a6GWlsiP1Bg0apJTKjjz19PTMFSl5BbPawAWpG7x582bVuXNnw5qwkZGRqlmzZqpp06a5op9DQ0MtUbmxsbHK09NT/fPPP3n6lpiYqCpWrKj279+vlMq+js8995zhOSlo/d9r64deb71Us1rI1zJkyBA1YcIEpZRSW7ZsUd7e3pZ6yFdjVsfWrKavUkqtXLlSRUdHG0Y56nT51QK+moLWgFUq+544cuSIYf1us2tvVh/WrIZyYeratm3bVs2aNUsplV3fuWHDhobb7dixQx05ckQplV2XuUWLFhY7s+tkpjOrKZzf9b2aOXPmqHbt2qmMjAwVGxurqlevrvbu3Vvo4zXTmdV61tlduHBBubu7W/ry999/q8DAwFy2Ba3zKwg3ExkBLEWcOnWKypUrW5Iwu7i44OfnR0xMDK+++ip//fUXYWFhlsCJn3/+mXr16hESEmLJmVZU2rRpw9NPP02zZs245557mD17Nm3btqVnz54EBwezZcsWVqxYQXh4OCEhIbRu3Zp9+/YB2SN8gYGBDBs2jLCwMJYsWZLv/ubNm2c5npo1a9KmTRtDO7PawPnVDb506RIjR440rMKQlZXF8OHD+fTTT/PUIr16JCo5ORl7e3vc3d3ztPHbb79Rv359S064J554wrDuKBS8/u+19UOvt16qWS3ka5k/f77lWjRq1IgqVaqwZs2aPNuZ1bE1q+kL2cmgryQyvhadzqwW8LUUtAYsZFfM0eUkNLv2ZvVhzWooF7SubUxMDNu2bbOU9OvZsycnT57MlVPxCvXr17ccg6OjI2FhYZZZALPrZKYzqymc3/W9mnnz5vHII49gY2ODu7s7ffv2NbwWZseb37nQ1Xo2szty5AgVKlSwJHS+6667OHHiBDt27DA8DkG4VREHsBTxzDPP8O6779KgQQNGjhzJ0qVLAahYsSKTJk2ibdu2REREMGPGDGJiYhgyZAiLFi1i9+7d1K5dm9jY2ALv67333ss13Xh1eaV///2Xv//+mz///BPInl5966232LNnD7Vq1eKhhx5izpw57N69m0cffZRevXpZprL279/PwIEDiYiIoHfv3rz66qvMmDFD24+C1uw0qw2cX93gsWPH8vjjj1OtWrU87X744Ye0aNHCUlbvambNmsUrr7xC9erVqVOnDm+99ZbFIcvvGM6ePVukaizX1g/ND1291ILWQo6NjSU9PT3X8RWmXusVzGr6Xi9mtYCvpSg1Z6/G7Nqb1YfNr4ZyQeranjx5ksqVK1t+JFhZWVG9evV8jyMqKoqFCxea1iYuCGY1hQtzfQt6LcyO93rPhZmdn58fsbGxbNiwAcj+IZ2YmFjgGuGCcKsgDmApom3btpw4cYLXX3+dcuXK8dhjj/Hkk08abrtp0yZCQkIICAgAYNiwYYXK3P/888/nKu921113WXQDBgzIVT2gefPmljJhmzdvJjg42JLxvn///pw5c8ay5s7X15fWrVtbbCdNmnRTU72sXLmS48ePM2TIkDy6vXv3smjRIsaPH29o+8477/D2229z4sQJ/vnnH15++WXLaGdJYlQ/ND909VKLUgv5ejCr6Xu9mNUCLinMrr1Zfdj8aiiXVF3bhIQEunfvztixY2nYsGGR2jKrKVwS1/dG4+bmxsKFCxk3bhwNGjTg999/JyAg4LY6BkEAcQBLHU5OTnTp0oU33niDRYsWFah2KBS8FnFBcHZ2Nv27MLb5UdCanWa1gc10f/75Jzt27MDHxwcfHx9OnTpFly5d+OWXX1i7di3Hjh3Dz88PHx8fNm3axKOPPspnn33G+fPnWbJkiaXsk6+vL02bNmX9+vUFOoarRx8Ki1H90IJybb3UgtZCrlChAra2tpZya1eOo7D1WkFf0/d6MasFfC3FUXM2v2tvVh+2oDWUzeraVqtWLdcIslKKEydOaI8jMTGRTp06cd999zFmzJhCHasR+dUULuj1Lei1MDvewp6LgrQJ2Y7smjVr2L59Ox988AFnzpyx/JgWhNsFcQBLEb///jsXL160/L19+3Zq1aoF5K0x3KxZM3bv3s2BAweA7CnDkhwRuULTpk3Zs2cPe/fuBbJHPLy9vfH29r6u9nr37m2ZIo6MjGT16tWGFVbMagOb6d5++21Onz7NsWPHOHbsGFWrVmXZsmV0796dxx9/nLNnz1p0TZs25YsvvuDxxx+nfPnyODk5WabBz58/z+bNmw1rdnbq1IkdO3ZYrsX06dMLVOfUCF39UDPM6qUWphby1ddi69atnD59OtdobkHR1fS9XsxqAV/L9dacvZr8rr1ZfVizGsoFrWtbsWJFwsPDLdPMixYtomrVqpYazleTlJREp06d6NSpk3Yku7DkV1O4oNe3d+/efPnll2RmZnLhwgXmzZtH3759C3W8hTkXBW3z6mMAeP3112nXrl2+bQrCLcfNiz8Ripv3339fBQUFqcDAQBUcHKzuueceS6RaXFycatasmQoODlaPPfaYUkqpH3/8Ufn7+6uQkBA1duzYXFHA19ZZvZpBgwapKlWq5KoBO3nyZKWUyhMRaRR9/Ntvv6n69eur4OBg1apVK0t0pFGU79X9MNInJSWpPn36KF9fX+Xn56fmzZtn0X322WfqlVdesfxtVhvYTHc1RtGCV7j22FeuXKnCw8MtNZA/+OADQzulsmv31q1bV9WqVUvdd999Ki4uzqK7ugayWf1fpfT1Q6+3XqpZLeRriYqKUh06dFC1a9dWAQEBueoGX3s/6erYKmVe07dLly7K29tbAapKlSq5alib6cxqAV9LQWvAvv7668rb21vZ29urChUqKG9vbxUTE6OUMr/2ZvVhzWooF6au7YEDB1TTpk2Vn5+fatCgQa6avsOGDbPcM2+88YaytbXN9Sy/8cYbBbpOZjqzmsJm1/dqMjIy1BNPPKFq1qypfH191ccff2zRXV3rOr/jNdOZ1Xo2sxs+fLjleR0wYECeiHSJAhZuB6QSiHDbsHr1akaNGmWYh08QBOFW4bXXXiMuLo6PP/74ZndFELTIFLBw22Bvb09sbGyuRNCCIAi3Ev3792fu3LlFWrcqCDcCGQEUBEEQBEG4w5ARQEEQBEEQhDsMcQAFQRAEQRDuMMQBFARBEARBuMMQB1AQBEEQBOEOQ2rX3CZkZWVx5swZXFxcirVqhyAIgnBjUEqRmJhIlSpVsLYuufGXlJSUYknsb29vj6OjYzH0SLgVEQfwNuHMmTOGlQsEQRCE24uTJ09StWrVEmk7JSUFzzJlSCqGtry8vIiMjBQnsJQiDuBtgouLCwCR/0DOf3Ox1K2joV0YO7VtHnbT59LrsNikM54aeYbe5IPwx7W6MRc+0+pi3I1zaf1GJ63N4G/na3WR/SsaytNx0NpUTz6p1TnmLSf7HykauclTl1xXP7ob5VBZq6v1+xljhf60w3MmumBjcUIzfeddV5vcALVM9vWlRm7W97kmOrN9ZWnkZoMxl0x0dY3F/zbV/1izIVOrq9VUcx0BGmnka/QmzNarToRX0OoiqG8ob1n+D62N+z36fV2YZ/x8LaeL1sbsPPX992etLkVTVdJxkNbE/F7Tv0K58JzxcZ3GuBPJCVl0rHbM8j4vCdLS0kgCRoPJWy1/UoGPoqJIS0sTB7CUIg7gbcKVaV8XFzDKL1rW1c7QzsXkm62syf5cnUyUzhq5yfe/o6v+VeRqYnfZ1dghKoO9vr0y+vZcXI3PR5rJeXK10bfnqDsXoH+6TJ46G83xAiQ5mPRRdzHNHBuzd7ru+pv0z/SeMfu+090aZjZmfTe7sXU+hck1xixTquaYnTX3Wfau9A2a3WvaW97sGpvcn7pnAaAsmveJyeoTzSsIgAztc6w3sjF7Jk2Oy16Tf9nRpH/a+x1M7zXdccWb3lDckGU8Tpg/JvkhzkHpR66xIAiCIJQy7HI+14t+/FUoLYgDKAiCIAilDFuK9gUvzkHpR9LACIIgCIIg3GGIk3+bYfci2BmsBeo9fKmxwe/6tnyDTHa0ykT3gEZuEqT8GDO0uk/cH9XqhmTOMpSXs4nT2iT30/+u8V0TZSiPau2mtcm01bc3NWiIVjdywkxjhcnyIKfZuigFiP7YOIAFILaL8YL+pl/u0u8sQa9CEx90yUa/wM61Zry+vSkm+9IcVlQ1/TXxqmSyL31sE2ueaWwoP2ly8w4Yskjf4PfG4gqrYrUmno+YxGeu0Kt0c3LqXb2J1VS97mRD/THrgscqVNG3t/IXva7Dc8YRUSff1/dhdOpH+gZN3k+OuvV89+ptFt/TWavbd0+AVjd+9geG8ojBHobyZDKAo/qOFCO2FG0K2GRptlBKEAdQEARBEEoZMgUs5IdMAQuCIAiCINxhiJMvCIIgCKWMokYByxRw6UccQEEQBEEoZcgUsJAfMgUsCIIgCIJwhyFO/m3Gv59VM6wyUEZTr6pGhXP6xhqY7CjSRKebGzCJKi3vqKuLBs8c/UKrO9rQy1AeRoTWxmmPPpKWBcZiL1t9VOmCFt20umroy8TR2lh8oZ0+P/88+mp1Tdii1YUv2W+sMImI/ecxX60uMNI4UtEr8jojffUVv9BdSq9t+n298NhrWt1zvK/VncG4nN6AKfpI30OztSr8GhrLPT/XR/qu+zJcq2v51Q79zloai89Uc9eaeDe9oNXtRx/d2nKzST80hJsVv3jQWNyDJVqTFx3e1uraP6kPA75vvXHqg9Mt9OeprEm9v4f4VqvbNdjPUJ6pCfXPNC0rU7wUNQo4vbg6ItyyiAMoCIIgCKUMmQIW8kOmgAVBEARBEO4wxMkXBEEQhFJGUaOAi2Ir3B6IAygIgiAIpQxxAIX8EAdQEARBEEoZsgZQyA9ZAygIgiAIgnCHIU7+bcYvdMMRhzxyH03elhopP+kbq26yI5P0IVqdSVH6GJNC8ZX0WTvwPRRlKF/ZT5MTA6jte0qrs+pnLF/TorHWpqLJyWh1QZ+aZUe7eoby8BhNyhagfsUIrS48Um9HE418gt4kMNakKH0FjTxMb7Jmqv4ctn5Zf56oYiyOauimNXn3zGta3dIq7bS6Hsma50GfmQc/k0dozb3Gx2x2X9iSqW/QJF3O91XuM5T3m2bSwa/0qkc2zS18PzrqTSrs0ev401hcueEZrclwk87XzDym1R1tYZw6yreP8bsEwDtsjVZHkF5FsqZNt0OG4gR9tplip6hpYMQ5KP3INRYEQRCEUoZMAQv5IVPAgiAIgiAIdxjiABYDr732GlZWVrk+/v7+Fn1KSgpPPvkkFSpUwNnZmZ49exIdHX0TeywIgiCUZuyK4SOUbsQBLCYCAwM5e/as5bNu3TqLbvTo0fzyyy8sWLCANWvWcObMGR544IGb2FtBEAShNGNbDB+hdCMOYDFha2uLl5eX5ePh4QFAfHw8M2fO5MMPP6Rdu3Y0aNCAWbNmsWHDBjZt2nSTey0IgiAIRefvv/+me/fuVKlSBSsrK3788UfT7c+ePctDDz1EnTp1sLa2ZtSoUYbbLViwAH9/fxwdHQkODmbZsmXF3/k7FHEAi4lDhw5RpUoVfH196d+/PydOnABg+/btpKen0759e8u2/v7+VK9enY0bN96s7gqCIAilmCtRwNf7KewIYHJyMqGhoUybNq1A26empuLp6cn48eMJDQ013GbDhg3069ePYcOGsXPnTu6//37uv/9+9u7dW8jeCUZYKaXUze7E7c5vv/1GUlISdevW5ezZs0ycOJHTp0+zd+9efvnlF4YMGUJqamoum8aNG9O2bVvefdc4d0pqamoum4SEBKpVq8af8fVwdrXJs32juZoHwiyFgZOJziQrAprsETtWG6c9AfPUJ6wy2ddJjVyf6YMvGw7Q6v6iraF8RuYIrc0nNk9rdX2Zp9XVvmCcjsbKOENENotNdJp0KabUNNHV0atO+7sbym1MUph4LYnXN+hn0g/NN81Kf32qnw5N12l1Cev1q5dcz6QbK5K1JnDCRKf7ljQ5Fd/3ME7nAnCE2iY7M2b8+g/0yiF6VcpOvc5xlEZhdg+aHDO6jD4ZepOlb+of8toc0er8Dx03lK/zC9fatHxkh74juhRLwKbhxo5Lg/hdhvKEBPConj0z5Orqqm+4CCQkJODm5sZ6wLkI7SQBLbi+vlpZWbFkyRLuv//+Am3fpk0bwsLC+Pjjj3PJ+/btS3JyMkuXLrXImjZtSlhYGDNmzChUn4S8yDR/MdC5c2fL/0NCQmjSpAk1atRg/vz5lClT5rrafPvtt5k4cWJxdVEQBEEQCk1CQkKuvx0cHHBwyJuLtiTYuHEjY8aMySXr2LFjvtPLQsGQKeASoFy5ctSpU4fDhw/j5eVFWloacXFxubaJjo7Gy8s4YSnAuHHjiI+Pt3xOntQNhQmCIAhCboorCrhatWq4ublZPm+//fYNO4aoqCgqVaqUS1apUiWiovRJvYWCIyOAJUBSUhJHjhzh4YcfpkGDBtjZ2bFq1Sp69uwJwMGDBzlx4gTNmjXTtnEjf2UJgiAIpYviSgR98uTJXFPA8r1UehAHsBh47rnn6N69OzVq1ODMmTNMmDABGxsb+vXrh5ubG8OGDWPMmDG4u7vj6urKU089RbNmzWjatOnN7rogCIJQCimuUnCurq4ltl4xP7y8vPLkzM1v9kwoODIFXAycOnWKfv36UbduXfr06UOFChXYtGkTnp6eAHz00Ud069aNnj170qpVK7y8vFi82Gy1vyAIgiDc2TRr1oxVq3JHCa5cudJ09kwoODICWAz88MMPpnpHR0emTZtW4PB4QRAEQSgKRa3mUVjbpKQkDh8+bPk7MjKSiIgI3N3dqV69OuPGjeP06dP873//s2wTERFhsT137hwRERHY29sTEBAAwDPPPEPr1q354IMP6Nq1Kz/88APbtm3jiy++KMKRCVeQNDC3CVdC++P7gKu9wQYjNYYmaRb43kRnkqrkwIoahvJ3eEFrsyi5l1b3p5M+3UOj743T25zrd30JDh7UHPRZk/wW3flFqxvCLK0uERdDeaNpJjmsTNJsJNyrfyVftClnKHcgTWvjNdkkb4cmfcyfvfW/vNvF6PNa/lTxHq0ugH2Gcr8lxml0APP0Rm/pVRdmORrKyyanaG0c25js64xG3sXExuSZPDDL+NkC8I/UpDepaZLeZLJJepMFehW9NfIeepMEX5P0O68ap9/56U39fXHfc7/rd2YyI3n0VePpQd81JoEDxrdFNsaZugA4vtjTUK5L55OckMG9bltvSBqYQ6B5AxWMRLKzNxW0r6tXr6Zt27xptgYNGsTs2bMZPHgwx44dY/Xq1RadlZVVnu1r1KjBsWPHLH8vWLCA8ePHc+zYMfz8/Jg8eTJdupg9YEJBkRFAQRAEQRCKRJs2bTAbT5o9e3YeWUHGn3r37k3v3rpfJEJREAdQEARBEEoZtjZgl3eAreD2CkzyvgulAHEABUEQBKGUYWsLtuIACiZIFLAgCIIgCMIdhowACoIgCEIpw66IU8B2Eh5a6hEH8HZjAOBkINdE7R4aUFXblN8JkyjLGL0qExtDeX0itDYBTsaRngBVtKGUsLWfcbjnR4zW2rzKJK1uVWR3Q7lZJGXDZH0kpaPJeVpZs6Wxwmw9834TnQlluWwoP0NlrU3c2HJaXd0LxhGnZ0zClB+r+LFWdxdrtbq13GUoX93D+D4DqMO/Wl3rplu0OvevNNG++lsQYk10uqIIJ0xsRuhV/i2NzztAygpjecs++vvz9Hx3rc5mrH5+z6ulJkJ8m9aES/PLanVL3uxoKB80e76+wZ16FS/rVdrI93p6m0MVTd6TDfXvSU/nc4byGjOM5QnGj2mJUCxTwEKpRqaABUEQBEEQ7jBkBFAQBEEQShl2NmBXhCEeu6zi64twayIOoCAIgiCUNmwo2hxfEaaPhdsDcQAFQRAEobRhS9EcQBkBLPXIGkBBEARBEIQ7DBkBFARBEITShowACvlgpQpSjE+46Vwp8B2/FVydDTbQ1OqOquKmbTOWClpd4KGjWl16RWO53edaE06P1aejKMMlrS5T8xvF8+ck/c589Sre0siNUutc4U0TnVm6D82p3+QXqjVJNCnfXsEkH0n4A5r8MQ21JvCwXpWuuZ/sEvQ2x6t5anVJJse1hB6G8s000dr88nsffUfC9CqSNXKTc6G7jgBkaOTPmNisMdGZ9UNzj243ud8bbDJpz4TTTYyfV++vLuiN9K8TFvfobCivSLTWpmWMPr0Nw/Uq3Tm80NtRa+LurUkPBHx2epBW14MfDeVeQ4zT6CSkgdt3EB8fj6ur5iErIpbvCh9wLYIDmJAFbsdKtq/CzUWmgAVBEARBEO4wZApYEARBEEob1qDJ2S8IgDiAgiAIglD6sKVoDqCkgSn1yBSwIAiCIAjCHYaMAAqCIAhCaUNGAIV8EAdQEARBEEobNsgaQMEUcQBvNzYCZQzke403rzDROB0BQFlnffoVUvUqO00mCGWSmsElM1Grs8nI1OqcPtCkZ/DT74tvTHSDNfL1epN1FcO1utoVj2h1XmuMz729X5rWxh69LricJtULQG+NfLDeBJOMHnaaLw6zVC81Dp3TN+im1wXu/cBQvrVdkNZm1z36GyD00CGtbrjfp4byN9aN19p4LdE/Q+ntjOUb3BprbVpv3qLVLQjqptX1PrPUUO6l9CmWDpik3/Ffdlyr20Owodw7Xp/DZtNwfXqjByJ+M5R3CVuktfm64lCtzuth/TXRvbvcW+pTvbBTr3q85Ry9Updm6V6N/BLwnb45QbiRiAMoCIIgCKUNmQIW8kEcQEEQBEEobdgg3/CCKXJ7CIIgCEJpo6hrAKVGWKlH0sAIgiAIgiDcYcgIoCAIgiCUNmyRb3jBFLk9BEEQBKG0IQ6gkA9WSimZ6b8NSEhIwM3NjfhXwNXRYANd2paa+jY3DdanbWi6eZfeULOuZF1DfbqUZXTV6oLZrdUladJYdGGZ1iaaSlpdeH3jVCpTdj6qtXlm/RdanVk6muMVjVOmnKWK1qZppMl5f0uvootG3sLEJsNE11IjX6c32VTF5H5aoD+uqN5uhvIVdNTa1LKar9W1fEmrYumbxnlbqnFSa1PVVp9WpoIm/VJ6ZX0f4tyctTrPIUla3T+zfA3lgbOPam0ODK6h7wfltLqmc42vV9QA42sF4NVRn5olZbGx3PGM1oTn/F7X6sye/3aTNhorNuv3pX1+APSXn9ipxvIKmmw5Ccng1hHi4+NxdXU12en1Y/muaA2uRXAAEzLAbU3J9lW4ucjvA0EQBEEobcgIoJAPcnsIgiAIQmnDmqJFAWcVV0eEWxWJAhYEQRAEQbjDkBFAQRAEQShtFHUKWKIDSj3iAAqCIAhCaUMcQCEfJAr4NsES2fWOJgp4tsbwS5NGjdq5gj7IDoJMdBomdxmp1dXlX63uvp9/N1aYROZ9+ZxeNzzWWN7b/RutjQ/HtLqn+ESrK8tlQ7lLsj7S01FzuAAmwcNQzVh8vIpxJDKAA2landfLmojOeiZ9+MBEV1GvWr6itaHcLDI3cJk+8pUZJv3QBYjfY2JjFi29XiPX3+6Y3O6wxESnifTf8Z3+osRSQavrcMgkpFsT7DtPH2BPX7NI2leNxVub6F8mLiRqdf4Rx7W6L8MGGMoTNRkFAMa0+UyrU3u0KqxGaBSa10lCFridvkFRwN3B1a4I7aSD2y8SBVyakTWAgiAIglDasCmGTyH4+++/6d69O1WqVMHKyooff/wxX5vVq1cTHh6Og4MDtWvXZvbs2bn0r732GlZWVrk+/v7+heuYoEUcQEEQBEEobdgWw6cQJCcnExoayrRp0wq0fWRkJF27dqVt27ZEREQwatQohg8fzooVK3JtFxgYyNmzZy2fdetMRq6FQiFrAAVBEAShtGFD0b7hC5kGpnPnznTu3LnA28+YMYOaNWvywQfZa0fq1avHunXr+Oijj+jY8b8k8La2tnh5eRWuM0KBkBFAQRAEQRBuKBs3bqR9+/a5ZB07dmTjxtyVXA4dOkSVKlXw9fWlf//+nDhx4kZ2s1QjI4CCIAiCUNq4jnV8eezJDiq5GgcHBxwcHIrQcDZRUVFUqpQ7qqhSpUokJCRw+fJlypQpQ5MmTZg9ezZ169bl7NmzTJw4kbvuuou9e/fi4qIP6hEKhowACoIgCEJpo5jWAFarVg03NzfL5+23375hh9C5c2d69+5NSEgIHTt2ZNmyZcTFxTF/vr4WuFBwZATwdqMsUMZAPtF4c2VcPx4Aq1V63WdjB2l1j0fOMZQfralfpzF2tqZqOkBTvUqX+gLjzCEA3K30/fiD2oby7vyitdlHgFaXafIT2/NnTbqXC1oTaKFXnfNz1uqO4WMo/4SntTbluKjVffrMC8YKXdoT0KYOAaCfXtVp2hpDebpxNo9sTNaZp5h8Nzga78r8TaizAb6fep+hvF/kT1qbHffq07aEz96v35kmDVB4jN5mQcVu+vbMUj1pnsm+Js/d8l/1yk57jU9io5F79Q021KuODtY/4/ewwlC+llb6BpvoVVaP6XXa+0aXpiodOG3S3i3IyZMnc6WBKY7RPwAvLy+io6NzyaKjo3F1daVMGaMvOShXrhx16tTh8OHDxdKHOx0ZARQEQRCE0kYxjQC6urrm+hSXA9isWTNWrco9CrFy5UqaNWumtUlKSuLIkSNUrly5WPpwpyMOoCAIgiCUNm5wGpikpCQiIiKIiIgAstO8REREWII2xo0bx8CBAy3bjxgxgqNHjzJ27FgOHDjA9OnTmT9/PqNHj7Zs89xzz7FmzRqOHTvGhg0b6NGjBzY2NvTrZzKlIBQYmQIWBEEQBKFIbNu2jbZt21r+HjNmDACDBg1i9uzZnD17NlcEb82aNfn1118ZPXo0U6ZMoWrVqnz11Ve5UsCcOnWKfv36ERsbi6enJy1btmTTpk14euorHAkFRxxAQRAEQShtWFO0KOBCzg+2adMGs8qy11b5uGKzc+dOrc0PP/xQuE4IhUIcQEEQBEEobVzHNG4uMourI8KtiqwBFARBEARBuMOQEcDbjUaAQTaQC0GOhpvvIUTbVLXe+ozq/TO/0+oSqtsZyk9SXWvj2zpKq+NdveroDON0D74x+vZ8P9frYh/zMJTPYojWphon9ftab3JclYzFm+4N1Zo0iN+l1Z1BH/n2B+0N5br0MAB92azV/VPROH9QoN9RrQ0m6TJee8hEp0lHZDdXb0NvvcrRLL1JmEb+vd7k+Jv69Ub9NmvSvSTr2wt30KdtSf9Tb2f3kkaRobepzBmtbtczflpd6HrjPCZRq/W5fhqb3E/8rJGbpQ5y0qscSNPq/qKtobz/hUX6Bk2y0Zhdyz+nGkestvt9o6HcpNvFj4wACvkgDqAgCIIglDaKqRKIUHoRB1AQBEEQShsyAijkg6wBFARBEARBuMOQEUBBEARBKG3YULRveJO1pULpQBxAQRAEQShtFHUKWLyDUo9c4tuMrQFBOLnmXZ2rix5t6LhN29bPDt21un6b9MXs17RobChv/dAWrc257wxCl3PInKFfbRyjCaWNq1heaxMerY+ybBRhHO4XELZPa5OIi1b3dotRWt242R8byic1eVVrE+dWTqv7ifu0Ol2k8q+ZXbU2T9pM0+pGbptprDAONs/GJJLytfkmdpooYCqa2JhEiJrqYgopB2pMO6dXVjMW/3mvvp5pu/WaCFHgWLx+V34fGMvXjQ3X2rQ8uUPfoNkif0251zNU0ZqEz9Y/d+gqd0Wa9MFfr4rWhdgDsVQwlKealLB1NLln0t/U69qt0VzLaF1j+rYE4UYjDqAgCIIglDYkCljIB3EABUEQBKG0IVPAQj5IFLAgCIIgCMIdhvj4giAIglDakBFAIR9kBLAEeOedd7CysmLUqFEWWUpKCk8++SQVKlTA2dmZnj17Eh2tWyksCIIgCEXAmv/WAV7PR7yDUo9c4mJm69atfP7554SE5K7BO3r0aH755RcWLFjAmjVrOHPmDA888MBN6qUgCIJQqrEtho9QqrFSSqmb3YnSQlJSEuHh4UyfPp033niDsLAwPv74Y+Lj4/H09OS7776jV69eABw4cIB69eqxceNGmjZtmm/bCQkJuLm5EX8AXA2ykpyrYpxmJYIwbZvnNekSAFqxVqvznnbBUP7nkyapL77Xp74wySzB162N80dU1OZZgM000eqSNCldKnNGa2N2LgIy9eljfra511B+mTJaGxuT+ktm6Wiemf2FoXzp4HZam+Zs0OrcF6QYK8K0JvC9ie6QiU6XCuQbE5vFJjp9xiF4VyN/ycSmnl6VcLexfGiKvvNPMF2razfK5DnR9dEkhY0unQvASr+WWl0Axve19xTjZx8wTQPEPRr5VyY2U/WqKD83rc4rxjiXzoKK3bQ25YjT6jr0WafvyGBj8aYuoYby5IRM2rvtJT4+HldXV327RcDyXfERuOpfNfm3cxncRlOifRVuLjICWIw8+eSTdO3alfbt2+eSb9++nfT09Fxyf39/qlevzsaNxi/81NRUEhIScn0EQRAEoUDICKCQD3KJi4kffviBHTt2sHXr1jy6qKgo7O3tKVeuXC55pUqViIqKMmzv7bffZuLEiSXRVUEQBKG0I3kAhXyQEcBi4OTJkzzzzDN8++23ODqalUooOOPGjSM+Pt7yOXnSuNKDIAiCIAhCYZERwGJg+/btxMTEEB7+X0mmzMxM/v77b6ZOncqKFStIS0sjLi4u1yhgdHQ0Xl5ehm06ODjg4GCygEcQBEEQdEgaGCEf5BIXA3fffTd79uzJJRsyZAj+/v688MILVKtWDTs7O1atWkXPnj0BOHjwICdOnKBZM33ghCAIgiBcFzYU7RtepoBLPeIAFgMuLi4EBQXlkjk5OVGhQgWLfNiwYYwZMwZ3d3dcXV156qmnaNasWYEigAVBEARBEIoTcQBvEB999BHW1tb07NmT1NRUOnbsyPTp+nQQWo4DTnnFHo5Jhpt3OGOSwmCPXmWSFQWMs5vQLkKfwmJ5v9ZaXaeX12h1HVuvMJTrUtEAnH1Sn1emJwsN5YvopbU5Y5KnZpbNEK1uGV0M5WFEaG2GMEurM0sRQ3VjcVkua03SzHKENDROAzO15jCtyciYmfr29BmHOP2Nu6HcNOWIcXagbMzSkXygkZulqTmhV7kuM5YHmzxcPtq8N5imRFpTsbGhvDVbtDbfV7xPqzO7NxZqnof7n1mitakx5ZxWpzuHu1b4aU1CH9BfFK+GxqleAOa81MdQfskk/VLv9Uu1OjNOdzG+d3VpqhLJuq79XBcyBSzkg1ziEmL16tW5/nZ0dGTatGlMmzbt5nRIuLOwLgu25SiLD7Y4Y4szVtigyECRiSIDO1yAdBQZZHGRLKKBtJvdc0EQigOJAhbyQRxAQbgNKUt5XKiMK1644AVBfaCsH9hXAVs3sLYDoLALDLK4SCZR4HUaMs9CxllIPwBpuyD9n+I/EEEQBOGmIA6gINzi2ONCBQLwI4xK+FOeGthxTbqhigaGWRmkWyeTQRIZJJFFBtbYYoUNVtjgQBZgixV2WOOOFY5YUx5rykMZg/IXKoOHiOE8JznPKc5zkrMcIp3UkjhsQRCKgkwBC/kgl1gQbjEcKEclwqlAIBUIxNVggV8WmSRxjgTOkkg09f5dBpcOQepJSL8ImfGQmczadvoo82vLfVnhhjVe2FAJ9xhXsK0MNlXBPgjsQ8HGA3eq4E4V6uSU28skgyiOcIJ/oNpOOLUTpLqkINx8xAEU8kEusSDcArhiTzO8aclbeBKM1TULcBI4QRSHiOEg5zhEEtFkXRUUUu/U/CL3QRFPJvFkchCSDRbZ21Tm5+rP40E1PKhGRWpSjop4Uxdv6sILD0BiDOz/Hfb9Brt/grTkIvdLEITrwJqireOTMhGlHnEABeEm4WJx+qoSQkVsrnrjXuRfYthFLP9wgf2kkUgiLjext0DmWU7wT/ZoXw6ueFCdIKoTiG9KbXCpCI0HZH9SEmH7D7BxJpzafBM7LgiCIFyLOIC3G2UxTANjpc+KoOeAXhX7pl5XQfNd/tn8QVobD2K1uoRJdlqd92bjVCDrngw3lAM8nDxXq1vr1NJQ7kyi1mYMH2p1E5mg1b3BeEP5DkZQl+5UpznWVz2CsRzmZy6xnpNEcylHGpjzARsytPuKbWecZ+U8Hlobs/Q2AxYsMpSHjd1pIF3JGSDT8QKONMCJNjjTFXvHmtDikezPsb2wfCas+gYSct8L3pGadC8Ntd2DKSY6s7eaJl0Og/Umcyv21OoyNUMs9ibR1L4vG9f/Blj6ZjutrjkbDOW7KupTqZhhlo7mvvW/G8qXttD3r0bNP/U7q2MsDl2jT/VyybgLAJTtrdd152dDuXuEcWojAJNHC2rqVd6HjO/dA341DOXpkgZGuIWQSywINwQHHOhBGR6lI40s0osc5QTrOcF6kohiMf1vYh+LSgYpbCaFzcTyLo40wY0HcaYr1j5BMOIjGPYubPwJFn8I+zfd7A4LQulFHEAhH+QSC0IJYk0NyjAMRwZinZMNOZN0jrOWf/mFi2ZJgW9zrjiD53iVWp+0go7DoG4jaNU7+7N3HSyYDCwFJHBEEAThRiIOoCCUAGWpgDPTcKS/JaAjk5Ok8DW/c5QUrmfO/vYki0T49fPsT81guO9puPthCGqZ/UnbD/HvQ9JcJBG1IBQTkghayAeJ8xGEYsQeJxrQnwf4mDIMxAob0lhFPA9ygWAu8f4d5fzlIXIPfPwIDPKBH96GpDiwrweeM6HaMXB9FrC/uX0UhNKAbTF8CsHff/9N9+7dqVKlClZWVvz444/52qxevZrw8HAcHByoXbs2s2fPzrPNtGnT8PHxwdHRkSZNmrBli770oVA4xAEUhGLABnuCuJcH+IQg7sUGe9JYx0XuJp77SeNXMKvle6dxIQpmvQQDqkHsGMg4mZ13sML7UHUPlLnnZvdQEIRCkJycTGhoaIHLnUZGRtK1a1fatm1LREQEo0aNYvjw4axY8V/993nz5jFmzBgmTJjAjh07CA0NpWPHjsTExJTUYdxRWCklWVtvBxISEnBzcyP+ALgaZQPR/FpTJr/irMyiLO826cs3xnLXPXqbXn4aI+ADxmh1sxliKI/ER2szLXWkVnfQoa6hfDVttDY+HNPqPuA5ulKZR/DFEwcADpPEZxyhFWMNbcIwiqTNRne8AN/ykFZXhbOG8nJc1No8x/ta3R6CDeW1OaK16fDnOq2ONXrVuYnOgC2O9MOJCVhTCYBY/uA475NG3qjZppt36Rs0GWBdd49x9Ph49GHvdTmo1X0eMcpYYZb+0GwA2CRbzoGJxpGl/guOa23m9tZHMJsd1zHN83W9qYiGzv3eWGEcsJuNQbYDC8P1qsUtOhvKdVHUAF6zTS7KAr0qebHxGMp5B+Oo/MSELILdYomPj8fV1VXfcBGwfFesBlfnIrSTBG5tuK6+WllZsWTJEu6//37tNi+88AK//vore/futcgefPBB4uLiWL58OQBNmjShUaNGTJ06FYCsrCyqVavGU089xYsvvljoYxJyIyOAgnCdOOPNNMJ5iXp44sBZLjOJfQxmCxtN0t4IRmSQwjdcIJxLTEWRQQXaE8oSqjAcK/SpggRBMOAGTwEXlo0bN9K+fftcso4dO7Jx40YA0tLS2L59e65trK2tad++vWUboWhIEIggFBIrrPHjAeoxABvsuUQGXxHJIk6RLtGsRUKRQDLjSOEbbJmGKw2pzkg8uZdjvE088uIXhBtJQkJCrr8dHBxwcHAocrtRUVFUqlQpl6xSpUokJCRw+fJlLl68SGZmpuE2Bw6YJLEVCoyMAApCIXCjJm34iCCGYoM9m4hlAFv4gZPi/BUjmexjH8M5xDjSiKEM1anHZ9TgeawkSEQQ8semGD5AtWrVcHNzs3zefvvtG3scQokhI4CCUACssaUuD1KXPlhjSxqJ7OYLxlD/ZnetVBPLb8TxN9V4Ci8epDL9caMxlHkALu/NvwFBuFMppkTQJ0+ezLUGsDhG/wC8vLyIjo7OJYuOjsbV1ZUyZcpgY2ODjY2N4TZeXl7F0oc7HRkBFIR8cKIKbZlCPR7CGltOs56VjOAEq2521+4IMknmGO9wgJGkEUtZ/CBoK1R66mZ3TRBuXWwo2vq/nBFAV1fXXJ/icgCbNWvGqlW536ErV66kWbNmANjb29OgQYNc22RlZbFq1SrLNkLREAdQEEyoSRBt+Rg3apLCRTbxJpt5k1ST6FqhZIhjHbvpxUX+BmtH8PkE6i4Du0r5GwuCUKIkJSURERFBREQEkJ3mJSIighMnTgAwbtw4Bg4caNl+xIgRHD16lLFjx3LgwAGmT5/O/PnzGT16tGWbMWPG8OWXXzJnzhz279/P448/TnJyMkOG6LMlCAVH0sDcJuSbBkY3G7bMpNERJrozJroTGvliE5vJetVw/0+1utF8ZCgP3HxUa9OgyVqt7u/U1obyPxzaXyOxoi798edhAM5wmF/5nEvkXhB9kmrafd2FcT+20UBr88bpV7W6Pt7ztLopPGMor3RBn97CyiRVyU/VjPPwjecNrc1EJmh15YjT6p7X3Bzrk+/S2kQ5vU51nsMaR9K5wFFeIoH1AITF66eG7Yyz5fCnv35EYS36fjyXapxKx2lZltaGinrVCy1e0+reXWKs+6eHr9amDJe0us000eqaaPLRVEnOm5LnCtFOnlpd+cw4Q3mijT6tjPeyC1rdpi6hWl1wqnE+Kqep+muy4NluWl01Tmp1BzFOK9UrdaGhPCFBUaWiujFpYHZpvisK2k4iuIUWPA3M6tWradu2bR75oEGDmD17NoMHD+bYsWOsXr06l83o0aPZt28fVatW5ZVXXmHw4MG57KdOncp7771HVFQUYWFhfPLJJzRpor93hYIjawAF4RrscCacsXjlfEFG8BdrWUCWJHK+ZTjHPBLZSi3epSz+1GEaJ/mQaP53s7smCLcGxbQGsKC0adMGs/Ekoyofbdq0YedOfV5UgJEjRzJypD63q3D9yBSwIFyFM9VoxRS8aEImqezgPdbwgzh/tyApHGUfD3GOhVhhQ3WepwbjkSKmgiAI+SMjgIKQgyfhNOJl7HDmEtFsYRLxHAaTqiPCzUWRzjEmcpkjVON5KtKXrLJlybz0IJhMfwpCqecGjwAKtx8yAigIQGVa0pRJ2OFMLHtZw1M5zp9wOxDNXA4zmixSsLbrjo3TX2BlsthOEEo7t3glEOHmIw6gcMdjaz2ARryENXacZg0beJE004Ktwq1IHH9ykOGorPNY2zbG1nkjWPvd7G4JgiDckogDKNzR2Fo/hoPdHKyw4Tgr2MY7ZJF+s7slXCdJ7CIjuTkq8whW1r7YOm3Eyqbxze6WINxwlDUomyJ8xDso9UgamNsES2j/RHB1NNigncawukmjD+tVu1boR05CHzpkKE//TN9ejJu7VpeIPleBLn3IR4w2lANEm+TZ2E5Dy/8H4cVzOWlcDvMTu/kCDMq57SFY255ZGpiKxBjKf+R+rc3+XeFa3arQ5lrdEk2bAezL+Z8VVlih+C8VRm2OaNtL1ZRbu0xZrc0MHtPqevCjVleXg4byDpHrtDamObjjgTKe0GMpVG4MqQmw6B44u5mtzwYZmjTqalJVZKLJvtYYi3c9q39+9hCi1V2mjFbXE+PUIu4nU7Q2z1V7Xat7I/kVrS7N0c5Q7jpD/+Pozyf1qXSaJxvXcD7ipE9hE3hSn+qJDL2KbRq5yZRminHWIwDed3pWq9Pdu2FEGMqTErIIdztzQ9LAxJ6EouwiIQEqVCt4Ghjh9kNm+YU7ksepwhN4A/AlZ6jA5ze5R0WjHC5UpxIelMcFJ1wpiwtOeGJDWdxwxAVrrMkiiywyyCQDSEGRThZppBLLJU5xidNc4hQJnCOZM2RgkizwVubyOZjfFh74Faq1gZ6/w6KOQNLN7pkgCMItgTiAwh3HiKucvymc4ivOmg7y3Go4UhkX6ub6tKN8gWytscYae2yxh6tG88pSjfKE5dk+jQTi2E8su4glghRO5xpFvKXJuASLu2aPBFZvCw/8RhmGcZl/b3bPBKHEybTN/hTFXijdyCUW7igephJP5jh/73GC/xGdj8XNxwpoVhZq8xSetKYMVfJsk0kmZzhPNLEkkEwiySSQTHkOcJl4LpFAJunYYIsNdlhjQ02isMYOa+xxpCJlqUYZqlKWKjjijSPu2ONKRZpQMScpdjqXOM8/xLCHc+zh4q0eKZ1xCZZ0g57Loepd1OEz9jOQNE7f7J4JQomSYWNFho1VEewVRktihNKDOIDCHUMjfHkyZ1HkJ5y6pZ0/W6C1MzzgBj3coLIdQD8AskgnicMk8i+JHCCRf/mOADIMklX/twYwL0no11ilYo8NjjhTDXeCqUAY7oRgjwuVaURlGgGQyBmO8QfHTBfl3WQyLsGP90Lfv7H3DKYuM9jPIDLQlxoThNudTFtbMm2v3wHMtFUgAXGlGnEAhTsCP7x4lLsBmEs0X6IpCnuTqWILoz1hiDtUuOrpjMuEFJvlxLCaC2wmi9RcdhmamqRFIZMU4jlEPIeIZDFgjQMBeBJMRYKpSAguVCGYgQTRH0/Os5yTbCSajFtt5CA1DhZ1JHXEVhzxoQ7TOMAwsiRZtCAIdyjiAAqlHi/K8QydscOWVVzkPU7c7C7lwRdHhlKRbvXAPif9Qkw6/JgAi+PhzyRYHjLp5naSLOI4ShxHOcRP2OBIVVpQk/Z4EkRTKtGUSsSRyh+cZgFHOY8+QvWGk3yWfxmBP3NwIojafMwhnkCZhpQKwu1Jpo0NmUWYAs60kRHA0o6kgblNsKSBWQuuzgYb6L7DzNLATDbRtdCrNvUINZT7cExrY5bqxW/bKa3upYbGqSqOUEtr40Ki5f+ulGEcvfDEjSNEsYApZBi81MxSvZQxGSUqr0lTA/AXbQ3l+2IDLP9vYmvD82Xsudf+v7Qbq0/C5K2w4hhkXfV0tnx2pXZfuvNrlhIn6qA+BUdsXeN0JEP52lBeBRfGcxYP7sM+Z59ZpBLDPM7yFWVMnG7/Q8cN5Qv8umltMkzq/T5Y4Setbv0FcG7YkOC//sLG2ZnoWbM4NHQoLfMuq/yP3nrVKx+PM5S/vuBtrc3E3mO1OrN7LYQ9hvLD1NbahLFTq7M1qW/ddPMuY8UHWhMWLdDreuoO2SQVldl5x2RfC4KM75veS5bqjSL0qjUT9XkkW8/eYqzYbyxOSAW3KSWbWuXKd8XReCdcXK/fAUxMUPi6JUsamFKMpHoUSi322PIU3fDEjRji+JSlhs7fzaCJrQ1/uJZlrZsT99rbkaUUP6am0+RbaDsffovM7fzd6pwhkdN8wi7u4V+eIJHtWOOAFwMJYTkePIu1yY+AG0nStm3s79ULlZlJpSFD8H7++ZvdJUEQhBuOOIBCqWUAbahJJRK5zBSWknQLTEeWw5YZTo6sdXOilZ0taUoxKyWN0Lhk+iRdZkvUze5hUckknrUcYDAHeYxk/sGGsnjwFLX4G3eGY4XDze4kcStWcPSZZwDwefttaNrqJvdIEIqXDGyK/BFKN+IACqWSuwigOf5kkcUMlhNtMlV7I7ACeuDJj4Qy1DG7ysbslDTqxCXxWHIKB7Nuk9x6hSCBDezjQQ4zilQOYUN5KjIeX1ZRFn3ViBvF2WnTiJ41CysbG5j6LZSvcLO7JAjFRiY2ZGJbhI84gKUdcQCFUkc1PHiI7BGdxWzi4E3O+VaXsswmkAnUohx27MnIpHV8Mo8mp3DmdprnvU4usopIOnGW50nnDHZUpTrfU5FXbvpo4JGRI7l04ABUrgofzbqpfREEQbiRiAMolCocsWUEnbDDlggiWcGOm9gXa8ZSg+8IJhQXksnkfY7ROD6ZjRn6Bfilk0ziWcBR2nORuQC4MwwfloKDvv5xSZN16RIH+/aFlBTo0B2GP3PT+iIIxUn2CGDRPkLpRqKAbxMsUcA/g6tTXn1yC2Nf3ilCP7W4polJdNt6TXQboCsP+9Q972pNPl3/gla3tEU7re4YNQ3lb/KSofwTPOmNC9FcZgibSLwmPHo4Xxna/UJ3bR9sTKIl568ZZCj3KwOLgiA4p9ra9+fh2RNwNh14R9scHNCr6u3XO7O6COxU7LU2sXhodTaasPLtS+7S2qTrLyMb3HLfa+40pw4v44AHWWRwnJmcYA5cda5bLzO5BzVRlgCsN9FpouVP/TyBqrxGFmkcpi+X+ceiyzTJlnWSaobyjxittXmZN7W6CsRqdeGzjQ966uBhWps0k+s/+sJnWp3VsxpFa60JnDHR6a6JyQBwwgI7rS7VRm/oOcq43nPsVP2+KmzT6zDJvhS9xFheqaGxPCET3HbemCjgXfGVcHG9/jGexIQsQt2iJQq4FCMjgEKpoRfO9MaFTBST2JvH+btR9PSAbeHZzl9UGtxzAB46kuP8CQBcYAPbeIhzrMIaW2ryGPX5gjIah6qkieU74vgda+ypwcdYY/ArSxAEoRQhDqBQKvDBlrdzRrRmc5TdNyHowwb4oBYsDARXW1iTAPX3wsr4G96V24IM4tnHS+xnAhkk4koQ4czB3SwJZQlyipdI4zQO1KAqr92UPghCcSFTwEJ+iAMolArexQNnrNnIZf5nUuO2pHC1gaXBMKZqTn9OwN37IUpG/fIlhuVs4yHi2IEtTgQxmUrok0CXFJkkcJwxKDIoz3245pQOFITbkcwipoARB7D0Iw6gcNtzH060oiyXyWI057jRCVV8HWFjfejkDpcyodc/8GIkJisHhWtJJYbdjCSKX7HCFn9eAV/9utGS4hI7iWEmAN5MkKlg4balaClgbE3XvgqlA3EAhdsaF6yYSHb+tk+J4/gNXvcX5gybwyHACU6lQssIWHT+hnah1KDI5CCTOMH/sgX+70C9j8nOonjjiGYqqRzHHi8qM+aG7lsQBOFGIQ6gcFszFncqYcsR0ph2g9f91cSdVSHgYQfbEqHxDthpHIAoFIJIpnGYj7L/qPkMhH0H1vpo1uJGkcopXgWgAv1xwrj2tSDcymRiXcQ1gOIelHZkjPd2YzfgmFfs5KqZ+DSpfuZColZ3vIWnVldj8jlDee17jmht5rboqdUN6LNIq0vR5Obd4xRMNTwZyoMA/MKvdOIEoE/1AtBowV5D+eCQeVobXswralALZrwG5Z1h4wno9L/sQu+5aK9p7379rmivv2DN2aDVzTw40lBu55GgtXmvgr4GbgD7DOXDe3yqtRmMPpHyPuppdU3Im+4lgS/ZRRLBvIh1lQc5X8WPnbxCJpcA6DR3jbY9eutVaMzqJh+6RnKITPu22NgNxpvX2cEglMHo8rsYT1N/aDJyeIYqWl2Hh9Zpdfgbi+/ib63JL9yr1Vlt0u+KGGPx94Pv05qYpRVqwmZDeaNlxs8jgOt+kwW0m0x0mkOuoD8V5KSmNMZkJUIlXeobTRoY0oCdJvsqRooayCFLWEo/4gAKtyVWQH/aYY01WznI/hzn70bQsDasfA3KOcH649D5G0i81vm7CThZQT0HqGEL1e2ghh34OJWhurU11aytsMeKyyhSFKSgKM/LZJBOJukkcJ5znOIcJzh/kyunXOEsq0gjnvq8jgcNaMQHbOVZixNY0qSnPYu1bVecrWpTjQGcYPYN2a8gCMKNQBxA4bakBYHUxIvLpLKAtTdsv/V94Y/XwM0J1u2HzgshKe2G7T4P1fAgiOoMqAYtyoBdnuVyuZPpuuZaT1dd2+4lTpLAIRL5l/NsJOkmRFYDxLKNLYyiIZMpRz0a8BZb0Y9cFi8XSE8dhb3jt9RgKDH8QQqnbtC+BaFoXInmvX57obQjDqBwG+LEvTQD4Bc2Ea8rTVLM+FSEZeOznb+//4Gub0BS7RuyawsO2BFCDYKoQSDVKXclSjWn4sjZDDiWDsdzPqcdLnMiS3EyK4tLSuFoZYUjUMbKiqfcvsIWO+xwoDyV8KQanlTDBXfKUo2yVMOLdvgxgkSOcJbfKU8ZLnJjFzomcJBtPEcjPsKdMAIZA/xxQ/adlfkdF3gad5rgwyMcYMIN2a8gFJUsbIs0BZx1g4OvhBuPOIDCbYeN3SjccCKGOFaz+4bs090FfnsFvMrDrkjo/hYkmayvLG4qW0NPmtGaIMpeVT8rhTQOcJrPo2vyezIcvWZplJ3HtWul/qv8eJ9mnZ8jTjQkCxfqUI5gPGiCC7Vw4XHeRfEvp9nEQbZzhMvcmOHPBA6xi4k04B2q0hm6jIZlH92QfUcyFXeaUJF7OMFsLhF5Q/YrCIJQkogDKNxmeGBrNxaAn9hI5g3I+mdnCz+NA/+qcOIcdH4dEm7MMjTq2VrxnLMNA8raYE8DAKKJYydH2ctxDnOWDLKYGWccBHI9pJDMBfZxge0c53tscaYSbanMPZQnDH+q4k9V+tOa1exlKdtINos2KibOs5UDfEY9RsJD78GZAxDxW4nvN4l/OcdfeNIWHx5lH+NKfJ+CUFQkCETID3EAhdsKW/uXsLJy5QQxbOffG7LPj4dCy3oQl5zt/J29WPL7vMveiuedbele5r8X+L+cYQU72M2xq8bxSp4MkjjNL5zmF1YynCb40ZS6eFOBDoTRgnosYzvWfEcWJRsNc5yFOFOTatZdYeT38GrTbEewhDnGF3jQGk/a4YQfyVwbNSwItxbiAAr5YaWUupHfJcJ1kpCQgJubG9FnwNU1rz7ayThtS40PjFO2ACSP1Od5cjqkH1n7KegeQ3kMFbU2j0wyybNg9qbpcdX/7apDvX/B2gHOdoAU43Vg52o6m+zK+IX4FcMN5aE0ojt9yULxNT9wgNypbj74Z7y+76uNxe4j9FG2j9qs4CHaEYwPAFkoIjjC72xnhkk+uuM/GecIce+m39eFP7y1us4dFxvKf9v+gOX/HVxgclUIy1l/GE0KX3CUFUTlGZe9yyRQZx8BhvJKRBvKbbBmKiHY0ZJMjpBAKxQXLHr3CP1oZHI943t+s0MTrc0eggHoxDDq0pij7OIXpgMwPNU45dA8h77a9oZO+l6rM8Ug/RPA0rHttCZpVy0XuJYHNpuMnuoeZbPiLGP1qk0Nje/dyujyqECNJfp3l8lhEdXFzVDu9b1JUe6WehX7TXSrNPKmxuKES+A2AOLj43E1epEXA1e+K5bFN8DJ9fodwOSETLq4bS/Rvgo3F8n0KNw+VJ6U7fwl/qF1/ooTL7zpTLbD8ztr8jh/xYk18KiVExMYQDA+pJPBGvYwgf/xOb8SSVSJ7ft6WZkI4fvh4Ug4kQaVcOQVAphFI5rgXmL7zSSLJPqRyXFsqIUzc7kRkxmbWEoWWfgSSqUcB10QblVuViLoadOm4ePjg6OjI02aNGHLlrx5Pq+Qnp7OpEmTqFWrFo6OjoSGhrJ8+fJc27z22mtYWVnl+vj7a5JiCoVCHEDh9sChHpR/OPv/ZwwyMxf37nCkF4OwxY5/+JdVmCToLSI1sGGptQdvW5fDEXsOcZrX+Y7v+JOYG1zdpLAoYO4FqLMXpnKYRNLxw4WPCONF/LEroUhCxXmS6IkiETvaUpY3S2Q/VxNHNAfIzp7cDH1CZEG4FbiSBqYon8Iyb948xowZw4QJE9ixYwehoaF07NiRmBjjzOLjx4/n888/59NPP2Xfvn2MGDGCHj16sHNn7mzZgYGBnD171vJZt67k3sd3EuIACrcHnk+DlTXELYbL20t8d3fTlXK4c5HzfM9PJbbmrq9VGdZYV6SJlQMJKou5rOIDFhLNDVhoWIykKviOE/RmIz9wgiwU91KFaYTjQcmUccvkH5IYBoADI7HNSQ1UkmxmKVlkUoMAPKha4vsThOslE9sifwrLhx9+yCOPPMKQIUMICAhgxowZlC1blq+//tpw+2+++YaXXnqJLl264Ovry+OPP06XLl344IMPcm1na2uLl5eX5ePhoa86IxQccQCFWx8bt/9G/85NKfHd+VCbcEuewfmklEBggwtWfGlVnunW7rhYWbNBpXJXVgxr2XtDAzyKmwQy+ITDPMsuEkgnCDdm0QgfqpXI/tL5hVTmYIU1TnyG6eKwYiCBWA6xA4D62lp/glB6SEhIyPVJTTV+H6alpbF9+3bat//vubC2tqZ9+/Zs3LjR0CY1NRVHx9yLW8uUKZNnhO/QoUNUqVIFX19f+vfvz4kTN67yU2lGHMBi4LPPPiMkJARXV1dcXV1p1qwZv/323wLrlJQUnnzySSpUqICzszM9e/YkOtp4gbtgQPlBYOMEl/dCsr7uaXFghz3d6APAVtZzogQqYHhizc/WHjxgXZYMpXgzK577ss5zqhTF3W3mAsPYxmGSqIADjzKIptoCqUXjEi+SxVlsqEsZXi6RfVzNzpwk1HVphBWVS3x/gnA9ZBVp/Z8NWTlTwNWqVcPNzc3yefvttw33d/78eTIzM6lUqVIueaVKlYiKMl7D3LFjRz788EMOHTpEVlYWK1euZPHixZw9e9ayTZMmTZg9ezbLly/ns88+IzIykrvuuovERH0te6FgSBqYYqBq1aq88847+Pn5oZRizpw53HfffezcuZPAwEBGjx7Nr7/+yoIFC3Bzc2PkyJE88MADrF+/vtD7uuBUnnSnvOuqasQYR8ytebaxtq3WD+sX5/KMXlWbw4byX+iutbn0almt7mH+p9W5b0sFjyey/4iZZqlPdLqmPsjA3iQ58UnNSFTZnPqybXOmfuOJZRMLKUsqr6x5X9ueLjITgLC8opoOsMnGhnLYc4kEfrWaipvVUUt9iQ001zZXjZNaXdn7jBMT7v813KSDev6Kb2Modw/TRxW/bZAf7yyOuDKeinSgB11JpQUTiCb1qnHOMHbmsQP4mXu1+wq4Jol1LX7mPh7DgTEsD4vioiZgpwpnDeXjMP5SAwhmT66/9wDhnKEOVSib+DiczxsJPnSTSaTvCL2KD0x0wcbi+kRoTc5TQav7s4l+yrxdhPGIzZz5fbQ2gx6er9U1rbLLUH7hXZMHqIVeZZaFx2uJJtpXX/mQQ9X00/nR1fTZDVra7jBWzNIY3MCykUVPA5P9jJ48eTJXFLCDQ/GNsk+ZMoVHHnkEf39/rKysqFWrFkOGDMk1Zdy5c2fL/0NCQmjSpAk1atRg/vz5DBs2rNj6ciciI4DFQPfu3enSpQt+fn7UqVOHN998E2dnZzZt2kR8fDwzZ87kww8/pF27djRo0IBZs2axYcMGNm3adLO7fuvjejc41oXMBIg1SSVTDHhTi/q0BWAl35JezFO/wWVhfQiUoyLxnGMR7xB9k2rs3iiySGE/43mbGDJRPEg5fqA65Yr51XOEXRxgG9bY0ISRWJfwb9uVV5yu8iPASv/jRhBud67MbF356BxADw8PbGxs8sxuRUdH4+XlZWjj6enJjz/+SHJyMsePH+fAgQM4Ozvj6+ur7U+5cuWoU6cOhw8bD0QIBUccwGImMzOTH374geTkZJo1a8b27dtJT0/PtS7C39+f6tWra9dFCFfh+WT2v+fnQFbJ1aC1wZYODABgD+s4QfEmF27pCn8HQ2V7OM9JFvEO8RhHxpVGPucCgzlJHJnUpwzfloAT+BfzuUwS5alJPR7I36AIRBCZHaFtUwHcBpbovgThesjAuohRwIV7Pu3t7WnQoAGrVv2XHDErK4tVq1bRrJl5gJajoyPe3t5kZGSwaNEi7rtPH2WflJTEkSNHqFxZll8UFXEAi4k9e/bg7OyMg4MDI0aMYMmSJQQEBBAVFYW9vT3lypXLtb3ZugjIXhx77eLbOw1rqkK5nGnlc9NKdF/h3I07lUgijr9ZUqxt3+UKvwdAOVtYGw+LmcwlTJLSllLWcoleHOccGQTiyByq4ViMaWIuk8RfZE9DBtIbZ4xHHYoDhWIlOdOa5U3WSwjCTeJmRAGPGTOGL7/8kjlz5rB//34ef/xxkpOTGTJkCAADBw5k3Lj/lops3ryZxYsXc/ToUdauXUunTp3Iyspi7Nj/soo/99xzrFmzhmPHjrFhwwZ69OiBjY0N/fr1K/pJusMRB7CYqFu3LhEREWzevJnHH3+cQYMGsW/fvvwNNbz99tu5Ft5Wq1YyUZS3Mvb0AysbSFwDKQdLbD82uNCIDgCs5UdSuVxsbYc5wS/1oIwNLLsAHfdBWjG2f7txmDQe5AQXyCCUMnxA5WLNFHiAbZxlBzbYEcyDxdhyXjZwALKSwcEfHK5vraUglCb69u3L+++/z6uvvkpYWBgREREsX77cEhhy4sSJXAEeKSkpjB8/noCAAHr06IG3tzfr1q3LNWBy6tQp+vXrR926denTpw8VKlRg06ZNeHoaV78SCo4EgRQT9vb21K5dG4AGDRqwdetWpkyZQt++fUlLSyMuLi7XTW22LgJg3LhxjBkzxvJ3QkLCHecEOpCT+uW8bkV18eDFYBwpy3lOs5+txdaujwMsDwA3W1gTDz0PQoq+wt4dwxHSeIzTfEt1uuJKMsF8d02gRVHYxVwqE04NWrGPxcRTMikjUkmHpF/A9UFw7QfnNAEBgnATKHoQyPW9rEaOHMnIkSMNdatXr871d+vWrfMdKPnhhx+uqx9C/sgIYAmRlZVFamoqDRo0wM7OLte6iIMHD3LixAnTdREODg55Ft/eSdjSBBv8IDMZLi4qwf2Up1LO2r8NLIViysLnaAWL/KGSPexMgnv3i/N3NVu5zLiciNw+BNGKGsXW9kWOcoINWGFNMCU8TZSQ8+Xk2hdKqOqJIFwPRSsDVzTnUbg9kBHAYmDcuHF07tyZ6tWrk5iYyHfffcfq1atZsWIFbm5uDBs2jDFjxuDu7o6rqytPPfUUzZo1o2lTTcVwE6ocu4irS155uiYrSutR+lQvF77Rp2CIo1whewZTUvVroZY49NDqjFKzVM3JlRFls5qD4QF59BFGOVZySMTgBOXQ45r1fZV4BhvKcowYfiYdyLuvnq310ceLXhlgKJ96P4Q7w7k0uHc7JKT8p3smWp/MukKlWK3u3BSTPBbOGrlZxaReelVKlPEN1bWu/lx0S16q1SXF5b0mHwIerhmMc7HlKZpwmjT2c8Gij4kwcQqd9Ko1fo2J5hOq0YRqNKMu5UhkPwB/cLehjVEKmyu8z3Na3aqqibQiCTu7amz1H0Fczkhmh6MmJ36bXvXGu89qdb1YaCj3f+u41qbMS8bpgQBW0FGra5dqHKA26Ct9qheG61W7WvsZyl3Q53KzraB/Flzj07W6iS3GGsonrJ+stTlDFa3OjHPtjB88zyRNwNolwOQUCsKNRBzAYiAmJoaBAwdy9uxZ3NzcCAkJYcWKFXTokL2u7KOPPsLa2pqePXuSmppKx44dmT59+k3u9a2LFQ6UoysA0fxaYvuxpRLuOaN/Syi+lDzDGmR/MhX02wWnUvK3KQm8y0JoCIRUg+CqUNYeElMg4XL2v4m1ITEDEjJgdwJEJBTX+GfBeTkhg1Yu0bTAm1doyihWE4PeaSkol4gkmuV40ZUaPMpeRhdDb/OSRRrnWEsVOuNFe4sDKAg3m8zrrOf7n71MWZR2xAEsBmbOnGmqd3R0ZNq0aUybVrKRrKUFN9pjgwtpnCKOkltX5ckTWONIMlv5p5jWiYVXganZviuvHIJVF8y3Ly6sraB7dWhbGULdIcQd3AuZrzUqBZafg2Xn4DcrSLoB3qAC3mcblXCiNuV4jWaMZjWpxVAV5TgzqURHKtAcFwJJ5J+id9iAKP6gCp2pRFsO8gmqFFV0EW5frjeS9z/727kopVAQxAEUbjnK51SAuMCPlNSYlC0elMsp+RbDh5iXHSgYDrbwfW9wtIOfD8A7+pm5YsPWGvrXhRcbg3+53Lr0LDhwBnafhN2nIO4SuDj+93GtBy624G4HzcqDlyMMrpb9ScmC5cmwMAkWJUJKCX4XpJLJRDYyhbb44MbDBPBVMYykpXCaKH6jMt2pzmD+4fli6G1eLrCdNOKwpzzlCeMC20tkP4JQGDKxLmIQiPyQKe2IAyjcUljhgDPZwTHx/JbP1tdPOXpijT2X2MEltlAcDuALd0EdDziTAIMWgSqZ0rcAONjA0EAY2wB8cuKDLqTC3MOw7TzsvgD74yDNrHTyVWsA7aygpTt09oT7KkEdZ7jfJfszqQKMjIHfkkvueGK5zMdsZxItuJdarOBYsbR7km+oTHcq0AIH9CW9ioIik/NspAqdqUBjcQAFQbgtEAdQuKVwpjHWOJLGWVI4BJQvgb1YUY6+AFykeFIM1HaHl1pl/3/UbxBXQuv+ytrCiGB4rgFUzgmEiL4EH+yFzw5Akn5tvCnpCv6Kzf6MPQDBgdDLGYa6ga89LKsKixNhBWWJLYY1ekZsI5qNnKEZVRhBaLG0eZnjxLGdcjTAi3uByGJp91pi2WJxAA/xWYnsQxAKQ9HTwEgUcGlH0sAItxQuZHtRiZgNXRUNJ5riQA0ySSSeZcXS5rTu2VPAKw7Bgr3F0mQegj0goj980Crb+TuRCCP/Ap+v4b091+/8GbEnFSbEgn8kvHcBMhQ84AIf0517CcCmhFKefMlu0sikPhXBrXjKuZ3JifyuzH1Yl9ArL5ZtKLJwoTYOeJTIPgShMEgaGCE/ZATwNuM7nx6UcbXLI6/GScPt276qrzfsvk0/TOVeXV+mbmnFdobywG1HtTYD4vW5/JLv/u9LuYxdM7AGp/QF1M46wjyHvoY2n/C0tr0mbNbqKhFNWx4H4F+2sJ76AFRAn3LiBd7V6hZ1G0Bfd7indva6uSeTgW45Sk3GlKzZ+hwm5zyMdQMbw2cPQlm7bMfvte0w91D2Oj/sgD80DZo94av1Kq+u/13LD4Fl2PEOHjShDAMJJ/x8OI//AetOX2VkVj7ZJEVInHe5//4PfMMJhlGT8zXn8AJdSTNYi5SGvba9h/lfrr+T2UYt4nCgIhPP7IbkX/IamZRlbpfRU6+8OruJx2awb0aruIokdMz7jF4hw0b/xTr+5w/0+/pdIzdJdbgd/TqEHvyoN9TlnF+sN4ka7qbVxVDJUB667JC+QbPB2pp61V1+aw3lm1roR5Vbx+jTZR2qWFWr81yjSfdSQWOgz7wlCDccGQEUbhms8MXaug5KpZOZpfNoioYDztSkEQAHzDygAuJiAx/lpKt76wwcSS1yk7lwsIUZfWHOw9nO328noP4imHUwx/m7QRwgnR6cZfByOHcJgjxg7YPwWvPi39dcjhNFCh44090k32NBySKdU6zI/sNtRJHb05KS41g6djPfThBuAFfSwFzvR0YASz/iAAq3DDbWnQDIUuvBJEFsUfCjBTbYcZ5jnC+GQIMXKkNle/j3Mrx7puj9u5pq5WH9aHisJWRlwStboetv2cEeNwMFzPkH/GfBl7uzZROawZf3ZKehKS5SyWIK2SNDXQihokli74JynJwk1WU7gW3xVR3JRUrOPhzaA2VKZh+CUECupIEpykco3YgDKNwy2Fi3ByAza0WJ7cOPlkDxjP5Z48ozOeWcx56EtGJMleLrAetGQYPqcD4JOn0Gb+y48YmajbiQAo+uhEd/h8wsGB4MU9oW7z7WcI49nMIeW3rQoMjtXeIM59gOVtbgYly9pchk7IGM42BVBhvuKpl9CIIgFBPiAAq3DNbWjQHIzFpfIu1XwAkPfMgii0j0a34Kiit9cbaBPZfgp4vF0MEcannAmqehujsciIbwybDSbH3dTeLLPfDgr5ClYGR9GNOheNtfwFYAmuKLWzGMqJ254vQ7dS1yW1rS1gBga6Wv8y0INwIJAhHyQxxA4ZbACm+srSqjVAZZameJ7KMB2bV0YzhESpGnmK1xYxAAn+jjZQqNkz38/ChULQ//nIU2U+BkMTqXxc3Cf+G5bJ+HD/pAr6IP1lmI5Dz/EoUtNrQ3qNFcWGKuBAc5NgEbzyK3Z0jaBgBsrApf51sQipMriaCv/yPuQWlHrrBwS2BtnR2YkaX+gRLKMxee4wAeK4byck60xZ4aXMiAb/UBxIVmel8IqAyn4+DuTyG6ZJZCFisfbYdPck7pN8Ogea3ia3s52Tl12lEPuyKOSKQSCyk508BlOxdH9/JyxQGkMfJ6FQThVkZWed5mnMULR/IWeR20fr6xwWyTxp7Rqw5U1C+U7/bBn4by0c++pbW53yTlRG0O48pdOAIp1ruIcyhn0b3DC4Y2PiY5IhqyLY/MHkcCGQjAIfaQes05nPzuBG17+17IO/o0kbuoAszJvIyqc9kwu0OKh7txg5qsEkNDstO9ZGTAgy9D9O5rNpih7SI8qJGPMrHx0qcBqs0RQ3lUlK+hfPQPUL0M3F8PfnoKmn8Jh65yjP2a7NLua+MQ47RCzIJjWNGby1SmDLVpxlLOZtvM1NgA1YYZp0QCuMd2GfY0IMOzG6nl/8vTE+2nrxIygUlaXatr8lVaYcVALmNv5cJOm4dJJG9qpG7bjJ8fgKP3eml15e6NM5S7L9Bfx2CTknrH8NHqajueMpRb6VLRAF7B8VpduR7rDOUvdXlFa/NW8Ov6na3Sq9pt1qS+MrHhHr3K75DxuQA43tp4JFmXfudSQjr6nE3Fy5Vo3qLYC6Ub+Ykq3BLY5eTjS6Nkpn9rEogNtlzgLPFmSd8KQFVcCMeLLBSfpxZPSG6wJ0zNjoFh/Few7lrn7xYnS8FDC2DLKfBwgt8GgnsxBMJmolhI9hdwX21yukK0l/UrADbW95CdQLF4UShicpzn8sUwbS0I14tEAQv5IQ6gcAtghX1Ovrf0EnIAaxECQCQRRW6rK7UB2MIZjquiJ+NzsoMF90EZO/h1I0z+rshN3hQup0P3uXD0AtRyh+ndi6fdXzjLZTKphTMh6JMNF4QstQ2lorGycsPaqmXxdPAaYnJS2LgTWCLtC0JByCpiAEiWjACWesQBFG46NlTHGjcUqaSzv0T2UR1/ACLRT0UWBGusaJ2zlnAph4vcL4Dnm0DdCnAyAQa9CepWyPVyncQkQ+95kJEJfYOhib6IQoFJIoNVRANwj6aiRMFRZOSkGbKx1k8jF4UrI4Bu1C2R9gVBEIoDcQCFm45tTl2nDCKBjGJv35UKlMWFDNKJKWLyZ3/cccGeBFLZU8SpZACPMjAmZ7nQ6D8hVr+M6rZhxxmYE5H9/5dbF0+bqzkHQPNiqLOblZW9RswmJ/CouLmYM2XtRBWs5BUr3CQkDYyQH/J2Em46tmSHjWaYFv+8frxyFruf5zRZRXQwG1AZgB1EURyV2MY1AxcH2HYWFh0shgZvEd75OztJdHd/CKtc9Pa2c5FUMvHCkZroaykXhCyVHSRkbVWMOWuuIokLZJKCNXaUpRgOXhCuA0kDI+SHrPK8zXgy+TNcDX6YHWphPNfmF6GPYGOKXlXlm+N6pWaWtgHbtSabaazVleNuygEHgY3kXjimK1jfnA3a9n65po0gwgHYRwJxlDO0ueeFn7TtLT3Sy/L/N6oCDvBldHWWJlWH2SY10DQzxJ7fnwCgCjY8QRXAivcqx+D5QgrnUqrr2/PXq9AFgk41samtr0y/LkOT1dnsjfHDf/89DPxQC/rfCy/7Qu8hoXo7zaDexnm5p2j/bAWdK0OViCY4P3hO21w54rS6BxwWY4sVS8jE3sqdJx2Wc5ZLjOYjrc2rJlHAm2liKLdJOQCOYbQ9eQGSc0f97mhYT9ue2aiLb4wm4eQarQnHevtodQ3i9cshLjkZf/k7tdD/7Fn3sL4fIRnGATdv7dVH+v6zxzjiHKAy+rqLiRWNSwdeblJWa+Pva/K+MykfvaWF8fWvg/GvuSQy9Y0Jwg1GXHzhpuOWs66rqNG5Onxy2o/MWUd2vVS1gVAHKzKVYnkxpCp8FjccsWI9Kfyl9eBuX976LPvfXp0goErR21uWnQGGrkVsKwNFJAkA1KF8EXulIS3HAXAw89oFoeS4kgamKB+hdCMOoHDT+c8BLMaSGjlYY0UNsnN1HSuig9k5ZwBhUwpcKOL8ry+29MuZynzTZMTqdmbfYViUU9Z5XLeit/drzqBPSw9wxWTktQAcJLu8Sl3NiHCRueIA2ksgiHBzkDQwQn6IAyjcVKywxjXHQYsv4gidEVVwxwE7LpNGFEWrqdY1Z+nZsmIY/XsKV2yxYgWX2UZa0Ru8RXlzeva//ZpALX2u5QIRmQwHEsDWGtrZFC2H38Ecp7tuiY0A5hRvtpcRQEEQbk3EARRuKs64YoMtmWSQVEQHzQhvKgBwgnMUNbtKi5wlc79fLlo71kBXsocTp+VMRZZWdu6DFWvBxhoeNF4uVSh+zxkkblpEB/BQjgNYE9ci9khDWs4CULuaJdO+IOSD5AEU8kMcQOGm4pyT2PcS8VBkFy0vHmQvCD9fREerkg142GSv/9tbxAG7EOwphzXxZLGF4qkkciuzOKd8WKegore1Ky7733rWRZueisqpN+2EHc4lUBGEjBxP1baIw56CcJ1IGhghP8QBFG4qThYHMK5E2nfPGeGJJbFI7QTZZ/97JB1Siuin3pVTOXgDKcWSSuZWZ3lOudxmtaGcPhCzQPyT48fXsyral1MqmVzICbzxooidMiIzZ72plT1Yl9A0syAIQhGQVZ63GYudelDGKe+IxaBt8w23X/OkPv1K61FbtDpXfQ15DtU0TjnTlr+0Ni6Zxg6Y3f/bu+/wqKr0gePfmclMJgkpBEJCIPQmNUoJTVGIBlFEdF0suyKrqCz4E9C1IthRd3WxoLj2sijqghVRDEXpEkTpgoROElpmSJtMub8/ZojE3HMpM+nv53nmAc4759ybYTJ5c+497zHdBmbIwctmnb1TWysKN49Yrt6VfgQnxTp/Aw27cMX2V7gi723OH6Dfz6iszOa2nRlAHJDAb7ZCmrc9WBbbt6u9sp+qbEvfX+OgA8z/NJJDy/9Q9sXoljGjGbRVivZrDfrcZxBT9cs36POUfvMeYHMJdLZD+n3wyR8nY5cpxnu7YtPmSCAdmpotNIsqxHGGKfTJ5UOOkk88SZyDiyYGC4TaH1CXUmqfrR/7eUB7uuLEQgxbO6ThCuwOAtDOq95BJibTrT551epng/IrKexVxnbFqrdpaf+q4muepz7WwLnqGBsUX9dydZcua3cqYx/cNEIZ0/scAXgsb7r6YAYTtVvvaamMXen4Urf9vFj9z1YvBUDl7EDzRx4smIOYxZNVwHWfzACKamUOFMp1Ulg5B7AHPrxdu4IapiP+KcBfg7xkG26BgYHbwjK3BzVUrfJ1gf/PoQ2CG+d4EewOrBXqGOSl28OBWeETtwmEmpvDAIQF7kMVoir5L+MGswpYEsC6ThJAUa1MJAHgoKByDmALzLCVGBR6PQ0dAgngtiBX7PZPgQgrHHDAlsope1gjLQhRAgiwyV9Hm06B/5OzdaiSE0APRwCwhmD7OiHOlNwDKE5FEkBRrUwm/wxgpSSA1kSwRIDmhVKDHVFOQ4eyGcDgEsDBgdm/Rb8ZP6+u+aEICn3QzArdwoMba+Mu/58dgkwATywMSqiklcAemQEUQtRgkgCKamUK1GErIsjaKnqs/vqCuI+AZnBv1SlEYyYm8Nvwbs5+HIBzApNBq/cENUyt49Lgx8B/cZcgE8CdgQW2zYK8hTk/sBI4GvWWeMHw4gDAUlmlZoQwIDOA4lQkARTVyhT44VuKJ/SDmwOVm33B3V/YIPBtUopGSZClahIDl0AP1u3yf7oOBHLnpCCrrjgC/50Ngvz4cgWS+fDKKAMD+AL3i5qCnKkU4mxUVx3AmTNn0qpVK+x2O2lpaaxZo15s6Ha7efTRR2nbti12u50ePXqwYMGCoMYUp08SQFHNIgDwVMYm6ZZAeQ9vcAlgdODb5HgIzrFJICfNq6RbHmuynECOnxRk7QFHYCeW6CA/vk780hFeScUQtMDtAiaCnPIUopaYM2cOkydPZtq0aaxbt44ePXqQkZFBXp7+Dc9Tpkzh1Vdf5cUXX2Tz5s3cfvvtjBw5kp9++umsxxSnT8rA1DIJ5BGl89/2117/0X3+e6tvVY715Qx1OYLLv12kjLXfon8/3fYr1GUlFlsu0m2/koY0AO588d+w78cK8Xuffli338IBA5XHOhy45yqZ3gwCjkTZ+HbAiEDbAd0+Rwzu0yo+lAQJkO8xsy83pXzQqDRL34pNif6yh+R2BJrp9DG6VfFTg9hf9JvNzdXJr+9wlHq8W77Wb98xVNklqW22MpbzdBty+gAXQdMc4KvfYxPv1S/PMePC+3Xbnf7fGYh0hpMzr02F+BejhyvP48qTXsTGgXsAIzHzKrcp+7zqnKiMBcpYVnCQZKKw0QQopiEHT6rh0uM6g+XfD6hDgTUlFXw5SP19fJFriTIWEW6wp+ElinajlesGE0bLUs/TbR+4fZ260xZ16NqjnyljJocipnj9AB5ZdY8ylsZqZWxHbFvd9vP5Qbe9lBKjLyukPFgwVXEZmOeee46xY8cyZswYAGbNmsVXX33Fm2++yX33Vaw79d577/Hggw8ybNgwAMaNG8d3333Hs88+y/vvv39WY4rTJzOAolpZTlwe85SEfOywwNieIEu3xJhMADiCrNocboLYQO6eV/c3AKkgJ5CLJhnknafDEZiIjQnyyq07MENnraRLtL7A+Ga5BCyqQajKwDidznIPl0v/w6u0tJSsrCzS09PL2sxmM+np6axcuVK3j8vlwm4vfw9uREQEy5YtO+sxxemTBFBUq7IE0B36RSBhgfsLg00AYwPfJc4gdwBpEvhSS32QH9xaklrpYIgSQGcgEY8NMq86OQE0BTeULl/gHkOLJICiFktJSSE2NrbsMX26/oz94cOH8Xq9JCYmlmtPTEwkJydHt09GRgbPPfcc27dvx+fzsXDhQubOncvBgwfPekxx+uQSsKhWlhM34FfCDKAlcO+VN0QzgE5fcBlgk8CXWh9n/wByAvc9Ng2yFuCJmVi7BWxmf0J9NtwnlfSxYS1bFBIqMgMoqpM3yJ1ATswA7t27l5iY31eyh4eH7p7W559/nrFjx9KpUydMJhNt27ZlzJgxvPnmmyE7hlCTGUBRhwU5ZRfSUSjbtMxcGdNNtYAl8GnjDfJS+skvX5A5eRktZP/LJztxppUxthDGQlUGJiYmptxDlQA2btwYi8VCbm5uufbc3FySkpJ0+yQkJPDpp59SWFjI7t272bp1Kw0aNKBNmzZnPaY4fZIAimrlPTELExb6WmwnLv1aglyF6dT8P8BjgszcDgUmmBrX0wmhxMCl31yDtQenIybwqVXsAU8QudXJ9/65K6EMkTkwu+0Nsni4ELWBzWajZ8+eZGZmlrX5fD4yMzPp16+fYV+73U6zZs3weDz873//Y8SIEUGPKU5NLgGLauU9cdnNGvoE8MSl37BgE8DAjFVMkDN3hwJ5gM3sXwziqITShzVZYqAqT26Q2z6fSACdQV6xtQYSNDellTJHdyIB9IX40rIQp6M6VgFPnjyZ0aNH06tXL/r06cOMGTMoLCwsW8F744030qxZs7L7CFevXs3+/ftJTU1l//79PPzww/h8Pu65557THlOcPUkA64jnmKzbfjRNnVidXJqigniDgym6pRSqa5i0cylisc+CJQ762AlsnFDO//GCbrcX+D/lsaIDe7yaA6VdPMTyG+0AuI1Xdfv8g2eU44X/ZoPGEOMxw8Y/vJ5G9yG/Xf6fLsDZG2IioOdl29mlMzO086su6vG+MzhWxdqpAPiaG6y4iDMYT1X6YuClyh75W9UDTrx3OheRBgwmvvVGJt77RVlsxv5Jun3McfqZYpzVDETgiSjgktGZFeI2gxm3T7i67O9tiOTvQCEmttFR2eezTqqaKDBi6be67a3YRXxgp5EGHKYVu8pi7teUw2FVVxyB9vrNly9Vl2xyDlQvlY5fb3Df7Vr95k3/qlh254QuvXcqYwO/0C/3svM19WW8Nveqv7lMS5Uh9o/U//BytVZPvU89qv7+N+l8Lp3gVnxOHonV3/+5GDdvqIcLKV9gNW8w/c/UqFGjOHToEFOnTiUnJ4fU1FQWLFhQtohjz549mM2/X3gsKSlhypQp7Ny5kwYNGjBs2DDee+894uLiTntMcfYkARTVLPBDyBz6GcDfV3kGVy/keGCmLiYEOyMdOu5PABthOSklqB+i8SejxwluCvDEopyiIC/b2gN3wBRXRhFyfi8ArcklYFENvEHOAJ7tVnATJkxgwoQJurElS5aU+/egQYPYvHlzUGOKsyf3AIrqpQXKv1gqIwH0X3oLNgF0nkgAQ/Dr0iH/5CTx9fB3r9AlgP4/Q5UAlhDkqhSFE1vA+SQBFELUQPXvp5CoYU7MAEaEfORQFfo9kQDaLWAzQWkQN4zlBfYATqiH33qx+Ou/BJsAxgYW4xQHmQBGBmY4Ki8BlBlAUX28mIOcAZT5obpO/odF9fId9f9pSwj50IX4C89F0gBzEG/1fA84Avfxt4sM7px+CdwKeR5BDlTLhGGhZWDvu/3knuLZxtpa/AlgLsEtJ04I/GJwuJISNEtgnzgf+ZUyvhBGPFiCfoi6TRJAUb00f8V3wpuGfOhCCvDgxoyZGOMVD6e0OTBp1SXIIsaLAxuB9iXI7TBqmTakYMOKg+Mc5FBQY3UJ839s7Qks9jlbTQM7xRwg9EXIAcLw/1Lj4XCljC+EEMGof9eharmLJy4nRueK5kL9xa2kauqMZWz2++oDGbwzFiYP1D+3e5epO6mu+l1+EIYCEU11j7mXFN1uw/lceajZ3FD29yMUkEhD3LTjAPv4G/oV5nev7qQcDztsKoZ+cdAlDj4+eVVgL3W32D9VXMW4CXBpiTQ1WbHktmP7HwvZxanH4yaDmCrH2HGW472v2GS9ebayS7hdfRm/xHUlhMPnpTZmFd9WLtYgTj+RK9ioPyt8Tg//n18Vt2SFr+KS9KZRB5TnsT2zR9nf7V2AJPhxezIp7b9S9vmNtspY20EbddtfYywp+Fe45gL5Jy2d/yT2T8rxOl6yTRm75tsvdds1g/dgzL0GJWjGq0N0029uYJR0q19CWKXfnOIwWEY/yGA8xfkBHCdat30F/ZV92ng+UMb2t1aXRGi2/qhue1qq/nLugkq63UCPlzBMQfyID2YFsagdZAZQVC/niRnAyqnqfgz/TXfxxJzimcY2B642dg5y4q4EWBHYu2ywrf58+6WH+RfifOcJriZelBlaB9YLbfUFdw9gq8A4uypnAhAbDQEo5VjlHEAIA74gdwHxySXgOq/+/AQSNZOj8i4BAxwNzFgEmwBuOnEJOAS37i1yBRLA8Prx7ZeEmW6WMHyaRmaQCWCnwCRjnubjSJDlm8sSwOKghtFlIgxr4D1Xiv4skRBCVCeZ4xXVy1m5CeCRshlA/ctCp+tEAtg+AqwmcAeReywOJIAXhZsxUfd3ir3I7L9n4SevlyNacF9tl0ACGOzsn80EzU6aATwnqNEqsgau5fvw4AnyXkUhzoa/jl/V1wEUtUf9mIIQNVd+4H6t8GQgyL3WdBwNbC+SEOQikP2l/tXAVjN0DfIy8JpSjQKfRoLFRF9b6L/mmubKQJHvhUHO/gGkBmZgt/iCK97cJpBIFnjgSCXs1BaOfycIN8eo+ym+qImCufx74iHqNkkARfVy7AefG8zhgSQwtPYHVkek0CTo9PL7fP+flzQMbhw38Emxfxbw7gZ1exK+qymMDIsdr6bxX7cr6PEy4vx/LvcGl7X1DNwR8HNBcOejEhlYvFSMekGKEEJUJ0kARfXyeaE4sLI0UrHZaRAOcIRSPEQQTgLBZW5fB27lGma0T/JpeqbAg0/TuCrCQk9r3Z0FnGTxT5fOdZeywxfcCsiWNugcAR4NFnuDq93XJ5AArnEGNYxSJC0AKGJP5RxAiFPwYA6yDqCkB3Vd3Z5+qIseBL3b2S6eqHh+tnqK46XWNytjE65Sb1l+cV9FuZcMZRcKB6g/TA6Ge2kHfNX77/xEz3KxKc8+q9tn513qVcOtKF+q5BB7aEYbemHGxFu6fealjVSOFxco5HuMCGAQA+J8XDZoEQV4yDe4tLzL1Uq3PbZxPgeAj3yxXGuJ4KnG8Ce3/xjDms1XjvfBf/+mjCk3Fu6q7mJY/u59/a35ztP2K7usu798eaD2jWHkJP/fH3slnJKccP2OikpFEx58pty/B5IKXMJu0146R61Tnscw1K/hvCH+/+ch9AXiKGjxM4NaHOS46iSA/3K9MvYx1+i2b+EHWgMfkspbPF8uNol/K8cbXqhf6gWgZIB+u92h3w7AnQYx/W8tAL6cMVi3PcOxSNnnlSajlbFxHd7Rbbe+rT4HxUvrZ7CZzAZFjZgMvlH2+azJJcrYiL9+qz7Yg/rNnVbv1m13BrcJzhnxl3GRMjBCTVJ8Ue2OBi7TNgzcNxVqBwOzMEm0DGqcHIrJ5jgWzPQKwblO9xTg1jTSzeH0MwW3X3FNdO8FYDbDF1tgg0G5t9PVmTYAbEZdi/B0WDDRLvBb1FaMsqez1ypQZHpXJRWZFuJU5B5AcSqSAIpqd4wjADSkUaWMn4P/t/GmgctywVgTSFbTQpAA7sbLez5/DZKHwoJbpVzTpMTCjef5//7E4uDHC8NCh8D/3yZ2BjVWS6IIx0IBbg4EuZ2ciiSAQoiaThJAUe1OzADGV9IMYE5gBrAJzYPaExhgVWAbszQSQrJm+V+eAko0jf5mG0NMOlu81FJ3XwBWC2TugNV7gx+vLc0Jx4aDAvaTF9RYHQN79P6Ks1LW51pJJBILHjT2EvzCFyHOhhSCFqciCaCodr8ngAmYKuEteZRDlFCEFRtNaR7UWBs4RiEe4gmnB8GvBjmAjze8/lmo56wxRFL7k8DuSXB7H//fn1wSmjHPxb9V3+YgZ/8AugYWA22rpMu/dtoBsJcSPFICRlST4BaA+B+ibpMEUFS7YxzBRQlWrCSQWAlH0NjFVgA6Blny14PGd4HSHiNDcEkZ4GlvAdmah5amMG5Ff5/l2qJhBHx0PdjCYN4mWPRb8GPasdEr8P+2hk1BjWUC+gZmmtcGbj0ItQakArCpki4vCyFEKEgCKGoAjYPsAyA5UD8t1LbzCwAdQrDnw7zAJeWBNCExBDN2TjRucufj0jT60IoMOgc9ZnWwWeDTv0LHBNh9DG7/NDTjptGVcGzkcIQdBHc9uT0xNMJOER5+rqQt2qLoAcDPVFKRQSFOg/9SblgQD5kBrOtknXcITJ8+nblz57J161YiIiLo378/Tz/9NB07dix7TklJCXfddRcffvghLpeLjIwMXn75ZRITz3DGqxDdtP2VTvolGMJR10ub8K261At/VYfcY/Tbrbeo+0QdUNeAy/jLN4TTGWhHHyDxpHINW+/SX7nbaa9+mQWAyJSKm7vmsA4ffyWRpnzL7eyh/FZid/Mv5Xiz/1AGZAte1nKMXjTkZiJ4D8U0l6Lqyc9ZfSu0fQ/clQAvtYDrtDRmObqS5f3Da9ZLeYrKUiqGOchhdajfvfrlPg6gLtb95t/ggtbgKIXLvoe8k6+2t1Ifq0GvQ7rtLz1/D2YT3HkjEAePLGrErA33APDFnUOU4+01+CXiXrYA/TnOcu7l8bL2p7hX2ecKvlDGIivM8pmIojsA3XmF5jorlm0G9wXaDSqOoNj97str9Eu2AFw+T1225YEZDyljtzFLt91qcEtjnsHs/apOPXTb+8b8rB5wuzpklLsPT9YvpWNfqu7TLNnghTf4XFum+H1y4EeKDlU4KezFghZEEif3ANZ9MgMYAkuXLmX8+PGsWrWKhQsX4na7ueSSSygs/L3o06RJk/jiiy/4+OOPWbp0KQcOHOCqq66qxrOuWQoDl/aiDAvXnT0XRRzgVwDSDWq+na6PA5eBM2iDNUTfRjMPwTyXG5vJxOzoSOJqUX3oyTTmhjbg9sHVS2BTfmjGHdYK2sXBsRJ4d0vw4zWmHwCHWRn8YDpstMNCDG5KOIb6lxQhhKhuMgMYAgsWLCj377fffpsmTZqQlZXFBRdcgMPh4I033mD27NkMHuz/bf2tt97inHPOYdWqVfTtW3FGqL4pZCMAEbTHhA3NYObybGXzM805h4uJ4s1Aceez9QOHyaWEROwMpDmLQ7Tjw62FxfQIs9DGYuarmCiGOQtx1PB1BNcQy/8F7qu7dSVkHgzd2BPP9f/52kYoUsyAna4IookJLCY5wqogz0x1DH/tm8P8hkZwO58IEQyZARSnIjOAlcDh8K8ujI/3rxLNysrC7XaTnp5e9pxOnTrRokULVq7Un4lwuVw4nc5yj7qslAO4OYoZK5F0PHWHs5CN/3JTXyKIDfKt7wX+hz/TuZzQbWHn0OBPx4s47PPRO8zCgpgokkw1dyrwQqJ4Ev+uLI/9DG/vCN3YXRvBkBTw+mDmL8GP14LumDDj5FdclbQA5EQCeCgw2yxEdfH6LEE/RN0mCWCI+Xw+Jk6cyIABA+ja1X85MycnB5vNRlxcXLnnJiYmkpOjv0XC9OnTiY2NLXukpFTO4oiapJANAET/YTu4UHFyiK24CMPEZSG4DPw5BynFSwfi6Yl6a7oztdHrI8NZxCGfj55hFlbHRTEwrOZ9GI8khtdojhUTn+Jg6vrQjv90YEH03N9gz/Hgx2uHf6b9MCuCH0whMnCJWRJAIURNJwlgiI0fP56NGzfy4YcfBjXO/fffj8PhKHvs3RuCaro1nDNwX1YMik1PQ+AT/DOp1waKAQfjGG6+CNyp/jd6YAlJaWi/DV4fgxxFbPB4aWo2821MJJMbhmz4oERh5iGa8G+SsWLiMxz8gxBe9wWGWmwMawWlXngwBPlaNI1JoQsAB/g6+AF12GiHjRb4cJETZLkaIYLl9VjwBPHwemreL50itOQewBCaMGECX375Jd9//z3Nm/++BDIpKYnS0lLy8/PLzQLm5uaSlKQ/cxQeHk54uM4y0p+AyIrN4zbob7bOuerzXXiJuubcxYnLlDHrbEWgjfpYfKUOuQKlVPJYTQsgmvNwE4uPYtZyoW6flCbvKccbZnCwj2iNl/s4Fzv38jW5+Gdg84lT9lnzzSBlbOLAwwyK9NHCFEO30qHMcP++ArkgR7GzyVblcER2/X2Z4AEgw1vIv00xjLJE8GwTGNHkIP/kZ4r+sCR00bLLdccbMeID5bG+6HqFMrbyEf2VpVePgBmdoLl/pzOe3QX/2BaLRiwMNLhZMV+dHBdsTCj3b5sJpvsX0vLvIg/b0yve/PckDyrHS2N1hbZhXIAJM9vI5n+kQqBW3wmNDS4JNzKItXX8vtDDbPszRADuTFpa1QngwPXrlLF1I9Vlis7bqr8KJo01yj5/+DLLeXLvY+qg6pbWQkU7MOqSOcrYT4oT6futwSrgA+oQl6hD9tcVAYNzN/rschrcoj1QVTxAde5VuDOg1xOGyXP2P+K1IPqK2kFmAENA0zQmTJjAvHnzWLRoEa1bty4X79mzJ1arlczMzLK2bdu2sWfPHvr161fVp1tjlbCHEvZhxkacYc2Ts1dIIVvx/yDtGYJj5KMxpdRfa+U+axTNTaH9lipC4zaPg7vcDtz4uICmvMJAzicphPONp9amIcy/Hj5J9Sd/O4pgaBbcvY2Q73UxuSm0s8MBr8bjx4Nc+QGYMZMWqM23kp+CHk/FZPUn4ZpHvwyJEFXJ6zHjDczknd1D0oO6Tv6HQ2D8+PG8//77zJ49m+joaHJycsjJyaG42D8bFBsby80338zkyZNZvHgxWVlZjBkzhn79+skK4D84Grg/K47+lXaMtfwIQA9SCQvBJPhsj4sVXjdRJhPP2IK/t1DPG75iJrGCPIppTgMephdvMIh0mmGuxFTQZoEHz4eN4+DS9uDywaO/Qbfl8I1BHcGz1cwGUwKlBu9xuCkIQXbZhXbE0AAnBWwwLC4XBFNDTBb/rQs+t8F0txBC1BCSAIbAK6+8gsPh4MILL6Rp06Zljzlzfr8k8u9//5vLL7+cq6++mgsuuICkpCTmzp1bjWddM+UHEsD4SkwAf2MH+RwjkkjOCcGuGxow0XUcj6YxPCycoZbK2c93C/mM5Xve5VeOU0pLormfc3mHC7m5A1hD+N2cEgOT+sIvt8PjgyHCCpk7oftymLYDSiqpwsnTKRBlgeXH4b/FoTlIv8B9EGv4BV8llWYxWYZgMlnQvJtAC01JICGCEdzsn9wDWB/IRf4Q0LRTT1PY7XZmzpzJzJkzq+CMaq981uKjFDvNsYdor90/0tBYRxaDSacXfdhA8DVGtmheZrqLudMWyT9tDVhefKxSNgIrwM07/Mon7OQKWvIn2pBMFK+fD9POhW/3w/x98MtR+O0MKgeZgd5WM0NtFoaGW+gz6fdYTgFM/gY+2AhU4oT1oGi4oTH4NLhjFxAf/JjxxNIR/y0ZqzC43yxIZuvFAPg8Rlt5CFF1PB4LJvfZJ3GaJIB1niSAokbxUYyDLBrSjwQyoJIK9q4ji0FcRBvakEILDups2XWmprsLGRkWTiuzhZnh0VTmPi+FePiA35jHLobRgpGFXUiKhJs7+h8AhW7Yx8XsJp9d5FNAKZFYicBKBGEMjrYRbYJ4k4kBNguNzb9fSvZp8MNu+HgzvP8LOAy2AAuFJmHwblv/3/+TBz8VEZIEcAh9MWNiCzs5EmTxbzULprARAGieBad4rhBC1AySAIoaJ4/5NKQfTbiMykoAHTj4iXX0ojdDuJj3+U/QYxYCN7mcLLDHMTIsnImxGjMcwZ+rkRK8zCWbuz7uwqAk+HNr6B4PXRtClBU60piOKFYj/2E1eb5P47tSLwtcXr56PZycypjC1BFugnkdoEU4/FoM/wjRFdSGxNAnsPjjO5aHZlAdJssgTOZENN9hNI96710hqpLmDUPzBvEjPpi+olaQ/+Ha5ltA5xazQ2/pLz6YzzDlUKNXq3YsB81g31WTqgKLQZ+dd6kLJXf3bvhDy29o5nuIMKVwMS4KyarQ52/hbyrHG84XytiAk4oAF7ADH+/TlrZ0pQn7FMV7P8oYrhxvHiMrtM3mHG6iH/9qrKE1XsWGP+xc722r/rZb+s5QZWxRqn6pF4D2N/1MNvB04N8WoCXhDMJBa2JpTSw2LBThphgPxXjY4GjFcR84ffCLW2OlS8MLgFldPkRVYgN4+oP/U8bufeNFZWzhzTvoTzsKcfFqxBcM7+2/dn2ERso+PXXeEyd8ypUAPEwKYVhYiZNX6AJ0IQX9epqWwFeuJxz19Oc3sYPpzmRaAHvMq9gQewEAl7+vTgRf+8tflLGxH7yvjLkV38oJM9WZ+rrxBmVlNqq/YQ8N0P88SVikPtZxopWxK1yK70mjcpwGP50W9VJXTxi8XX93pRJ11SMsBovNfyk5Txkb+IGipI/q+yT4Re2nz2PxP4LpL+o0WQQiaqAi3Nr/AGhYiRdSS8hjb6BmYD9GhGzcb9nCcn7DgpkpnEdDdOo5VjIvsBMXP7Cfd9nMI6zkQZbxBKt5jixe4WcezPfxlNPHywU+lpUlf1Xrvu5wPu3w4uN5FnOQ0Gx5mIKNkYGZz5dCXKT6ZCbCSOJ8AA6wuNKOI0RtMXPmTFq1aoXdbictLY01awzqVAIzZsygY8eOREREkJKSwqRJkygp+b1g4sMPP4zJZCr36NSpU2V/GfWCJICiRnJr7wIQx6WYsFfacXbyPl5cJNOOloGdIkLhdZazi+M0xs4j9CRcvtUqGNkSpvf2//0dVrHRsPLvmfk7TbFi4nsc/GRYATg4CfTERgwlHOFICBYTCREyJ2YAg3mcoTlz5jB58mSmTZvGunXr6NGjBxkZGeTl5ek+f/bs2dx3331MmzaNLVu28MYbbzBnzhweeOCBcs/r0qULBw8eLHssW6beqECcPvmpJGokL8vxaTux0IBYLq6047g4wh4+BaAfBteIznhcDw+zluOU0oV4ptErpFvF1XbnNoL3AhusLGAT3xltj3KG2mJneGAFyQshTCr1JAd2qjnIUqikEjNCnBWvCTxBPLxn/nn13HPPMXbsWMaMGUPnzp2ZNWsWkZGRvPmm/i07K1asYMCAAVx//fW0atWKSy65hOuuu67CrGFYWBhJSUllj8aNFfc1izMiCaCooTTc2n8BiOfqSj3STmZTSgmJtKKd0d55Z2gvhTzAj5TgJY0mTOE8rPItR5to+Pxi/yKVBfvgfaOtzM7CRJIxY2Ih+Wym+NQdzpIFG4mBfavl8q+o70pLS8nKyiI9Pb2szWw2k56ezsqV+vdl9u/fn6ysrLKEb+fOncyfP59hw8rf8Lp9+3aSk5Np06YNN9xwA3v2SK3NUJCfRqLGKtXeQ8NHNP2x0bLSjuPGwU98B8AF/BlrCO/Z28wxHmFt2TZuT9CbCOrvzdVtomHxMGgeBZuOwahF4AvhZnJd6MwQ4nCj8WIlz/51YCBWoijkAMeMVkAJUR08IXgATqez3MPl0l8UdfjwYbxeL4mJieXaExMTycnJ0e1z/fXX8+ijjzJw4ECsVitt27blwgsvLHcJOC0tjbfffpsFCxbwyiuvkJ2dzfnnn8/x48fP7nURZSQBFDWWxi6O8z0Ajbm+Uo+1lgU4OEw08fQPrCINlTUc4gHWUIyHniTwHL2JxRrSY9QG/ZvA8suhRQPYkg9DvganO3Tj27FzBZcB8Do57KDkFD2CYaIr/hXb2cwl9DsiCxGkECWAKSkpxMbGlj2mT58eslNcsmQJTz75JC+//DLr1q1j7ty5fPXVVzz22GNlz7n00ku55ppr6N69OxkZGcyfP5/8/Hw++khdxUKcHpN2OttYiGrndDqJjY3lR0cKDWIq5u0HSNbtF2dQ/Pa8pepZiwWDBiljQ89dqh8wKHHwwIaHlLE/8Yky1tndBrv1SzTtGEWlKRC4pJcfHqfs8x3pylipXg0d4Ake5HwieS+w+8if2M3awLHmGqxEzkd9Hp/wp3L/bkkS4xlJAyLY4vaRcaSUvX9Yetuj2XrleD9vM9iGY61+82M33K3s8tCmf6nHU92SZ1SWUf2yMzNjDWPpiRULu8jnYRaTH0jQPsu6TrdP857qfXv3bWtfoe3NJBgTC9spZSh7KNVJyq5knu54pQazvit0tiU8n1hepgNeHOyhJ9ofFpr8hf8qx1tUOEQZK4pSL3iK36hIaJsou7CsiUEJk7WKEiaAsmyiwW2yhcnq+YTXw2/Rbb/zGXX9TfeT6mNZX1PHNMXLuyO+ubJP+7x9ylhJlPpYdtVbVFHexnkcYnuAw+EgJiZGPXAQTvysYKkDGgRxjAInDIpl79695c41PDyc8PCK3y+lpaVERkbyySefcOWVV5a1jx49mvz8fD777LMKfc4//3z69u3LP//5z7K2999/n1tvvZWCggLMZv33VO/evUlPTw9pMlofyQygqNG8vm/waTsxmRoSZr62Uo/1A0XMCSTMT5NEeIgXbewmh+eYw16PxjlWM8sbh9M1rG4vDLGZYFZn+Dt9sGJhOXu4l2/Lkr9QuTjSn/z5NPgHubrJXyjdiP8y13H+WyH5E6IuiYmJKffQS/4AbDYbPXv2JDMzs6zN5/ORmZlJv376dRuLiooqJHkWi/8WGdXcVEFBAb/99htNmzY9my9HnEQSQFHD+fB4ZwEQZhlX6Ud7gjxycdOWcCapdtAIQg5H6X/YxRa3j5QwEz82sTE+qm7eE5hkg8W94bYU/31+77Kef7IcV4grDkaZ4D+BOuMv5kNWpV76hQ5E0JdYPGg4UBckF6JaeQB3EI+zKFo9efJkXnvtNd555x22bNnCuHHjKCwsZMyYMQDceOON3H///WXPHz58OK+88goffvgh2dnZLFy4kIceeojhw4eXJYJ33303S5cuZdeuXaxYsYKRI0disVi47jr9Kwfi9MlOIKLGc3vfxmp5FIu5J2ZTH3xaaFeNnsyJjwfJ5XWaM5Z45hP6G433eeH8w6W829DKMLuFl+KsXGo3M+ZYCG+Iq2ZpsTA3FZLtcMwNL1qXsq6SCjI/mQCtrJBdCg8egoYNK+UwZf4amP1byFE6sr9yDybE2fIGHsH0P0OjRo3i0KFDTJ06lZycHFJTU1mwYEHZwpA9e/aUm/GbMmUKJpOJKVOmsH//fhISEhg+fDhPPPFE2XP27dvHddddx5EjR0hISGDgwIGsWrWKhISEIL44AZIAilrhCB7fHKyW0VgtE3F5KndByHcU8BkORhDLczSlgEh8FIX0GEd8cNkRN3dE+XgmNozL7BY2NTHzbxoxnyMhPVZVirLAP1rB/W3AZoaNx+HK9dD1/MpJ/i6OhAlx/r/fmguFGlRm/tcEK8MCW9S9Ry6PV+KxhKiNJkyYwIQJE3RjS5YsKffvsLAwpk2bxrRp05Tjffjhh6E8PXESuQQsagWP93kAwiyjMJt6VPrxHiGPHNy0I5yWPHHqDmfpxUIvvfNK+dntI8Fi4kna8xKdaKpYrFJThZnhtuaw43yY1s6f/H2SA/1Ww2+hzZ3LtLfCnGQwm+DVfPiuko5zsttIxoaZtTjZIPf+iZosRKuARd0lCaCoFXzaz3i8cwCwWiovITvhKF7+zgFK0WhIBk0YU2nH2ujR6J1XyoMON6X4GEgcc+nBJFrQpBYkgiO6wIa7YFYXSAqHHUVwzXq45mcoqKQNhmPN8EVzaGiB5cXwf/o7TYVUc8LL9hd+US79ippOEkBxCnIJuJaJ5yjROqtT5zFS9/m3MUs92Hx1aOifFaVeAOWQBh8YTy59TB00mEjRTq58Yn4QLfYqwiyX0mxzVzj+vW6ftLTVyvG+IUO3fdfWc/Q7xI2DpJdppk2mkXsBPm1JubArXJ2gbaODbvuIZvqlSDYBl9GLJ0imD1GMJpnracrn5PM6R2jU8UvlsTI6fqPbvpnOyj4tu6i3X8ttrl9bpP/VK8r+3pk4bqUz3QLbrh2jlDfYzbzIg3hSNfqc1O+z1QY3bO/Sb47rma/bbgb+295JR2I4QCl3R2ynZYff33zd2aA81Aa667bnGdRSuTpQpmgkV2PFzHZ+pUWgYNAIPtftc6HBziDeMPXv3XolZ04o7hqp2270f3xv4TPKmPNcdS3K6Db696OaDL7Ho15Xb4U3bLziw8agrIxVv7KV34PqkElRtsU7zGCxlfplwm5Q49v5uf5rGPOS4n7eyl2fJMQZkQRQ1B6+38D1OtjHQcpTsFn9wzJk8l/BndAXq+VG7NYPKS7tj8bOSjvcTkq5nl0MogFjaUxforiahlxNQ1YRzUfs5OdqvEcwFhsX0pQhNKNLIPErwcsn7ORNcikM8QpfPZNJ4QJiKMbHOHZxpAqmKuJpRGpgm8BFgV1jhKjRgp3FkxnAOk8SQFG7FD+KFn4jpuh+0PAKOKY/AxNKpZ5xmE2dsZh7YbfOp9g9EDhcacfTgCUUsIQCuhPBWBoxlBj6kkhfEvmVfJaTyxry2I6j0vegiAAut9oYZbWRQTphgTtHvGh8w17e4VcOU0Ih0ZV8JjCCRozGX/PlXvawpRL3+j3ZYAZjxsw2trIPddFgIWoML8ElcZX/u5yoZpIAitpFy4GSGRDxIDR/Eo59CagvPYVGCS73FdhtKzCb22O3fkqJ+2KoguTjF4q5g320xMadWBlKCh2IowNxjKEj+bhYyyFKOMIutlEUgrI1dkz0tljoYQmjnyWM4VYb0abfbzvYRj7fsZ/FHOAY+vuCVoYeNGAqrQB4iRwW4KiS4yaQQDf8C48yZfZPCFFHSAIoap+Sf4J1HER2gSa3QJ56O6lQ0cilxH0ZEdYfsJj7YbfOo8R9JZWffPrtppQX2MY7/MoAkuhDAufRmDjCSac5MBqAYgo5yG6Ocwwnx4gjgiMc5wgFlOLBigUbYVgJ4zwisGMiEjNtsNGFcDpjpw02LA3K32e6y+flw9JSttlXs4eCKvmaT9YGOy/SDhtmvuUoL5JbZcfO4FLMmNnMJg5yoMqOK0RQ5BKwOAVJAEXtozlg38PQ6gVImQ5H54Kn8i7Jlh1W20qJewR269dYzBdjt36Giz9TFTOBJzgoZT57mM8eLJjoQkN604QhhBNPIuFE0OakRQHnn+Vxcn0+fvZ6+Nnr5WuPm5Ve/0+D/vaqT/7aYuc/dKQhVjZQwBSy0arooyuDODrSBg8evuPbKjmmECEhCaA4BUkAa5nGvQqJ0VnMdv/TM/Q7GN3HsVYdetugrMZNijUQJber+9ifV8cOPdBAGVOtirwo9jWitJuxhPWg9Nx/UqLdWhZzGZROufNbxWyhwbqKqJKTZ/mWQdSl0OZrLJZ04td+BPdeAa6KSWDpMv09Mz/bpl4Re3XH95UxG6UV2nLJ5Uu28gopNGAHHYgmiQiaYCcJOw20RjQnjOZYCDeZKNY0XGiUoBFlOoQXF17cFJLLMbI5xk6Okc2P5hT/clsr9MX/ANiMYrU0kBfYIUOXesExXKi/YvLvzCSJdgxjEuHYOMJefuQpxlBIJunK4TrwqzLWB/0V4pE6SbyNCG7Av3p9H2/Tg4oFacMU32B/Cqwc1hO1Sj1rfHn2ImWMQYr2QvXq8Ae6PqSMPZlnsDJf9cN/vbrLj+O7KmNt2aEfMJhQPfoXuzIWn2KwnFZ/kT3JGQYH66QOYbAF+SeWP+m2R9+pfytGkdMN9+mv2A+5E1u6BdNf1GmSAIpaykuJbwJRlh+wmW/C7X0bLytO3S0UCpfBzqHQ5mvolQ5PfwH3DtdNAqtSAR7WcQw4Vta22ff7bKAJyi0Yecky3mC0lFCf3hlrSSqX8HfCsJHDduYzA1cVFl/uz9VEEUcRu9jDO1V2XCGEqApSCFrUWl5WU+p7AwC7+SWq9PeZwuX+JLDoOPQaAs8ugJj4qjv+Wajs1cKhdFOUiaHcQRg2drGeL/hnlSZ/TWlHVy4E4FeeQtOZfRWiRvOG4CHqNEkARa3m0h7Epx3GYuqKzWQ0o1UJClfA5AwocEDqBfCf1dCiY9WeQx10b4yZtxqHYcbCVpbxDS/iqcIEzEwYF3EjAJv4Hgc/VdmxhQiZE2VgzvYhCWCdJwmgqNU0juLSHgAg3DQVE82q9gQ2roRx/eHATmjeDl5dBX0uqdpzqCPMwHMNzTzV0H+T6zq+YjGv46vin0Q9GUo8yRTiYIXBvXxCCFGbSQIoaj239g4ebSUmUzQR5ldBZ6u8SpW9GW5Ng59/gOg4+NfXMHpK1Z9HLZZghs8SLEwKrHCadNTLaj6u8vNoQit6cTkAy/gQF0VVfg5ChITsBSxOQRJAUQdolPhuR9OKCDNdQgJ/q/pTyD8ME9Ph8/+A2QxjH2ME47Gj2JhUlLkiwsTG5DAujzRTomlce8jDjONVU1/xZFbsZHArFsLYwVq282OVn4MQISMJoDgFWQVc29yBf2+uP3pd8fxH1UNpBhMsNz1tcA7L9ZvtinYA91vqWMJ8dW051QbuF1i+r9B2FTlMpQ1J3MVeduDUqz2yYbv+gVQlNoCsc9WxnuVep1LYehuErYCLX6GVtRu3uf8P9l8HJavKnvVqp9uU413PbGWsiUHx472KVbuzLTco+8xGHcujiW773fxL2efPn32hjLUcXfH/ogFmHqIJo4gD4CC5zDHNo2VCLvcA87lMOV5+oI+eFPYqY8P4Srd94MfroM/70LIJFO6m3cKLmeDOB2DnNUlnfKwIg5nDZwZNUMb6D1KvZB941TrddrdB5Zgr8tVbJe5sov662gzM0Q88oT6WxeBSffxYRdkWxbcjQHyUQakX9Ut48rdaOTEfGNQ1MSiJRS916G/rP9BtX5Z6nm57VeyVLcTpkhlAUWfMJY9vOYKZMLoxDQuR1XMiG9+B9/tC6Q6wtoKWyyFxFpgbVs/51EB9iOBrWjGKOHxoLGE5L/IaB6twh49yWo6GljeAzwOrr4NA8idErSUzgOIUJAEUdcpj7KSYg0TSnM7cU30ncugX2NUTHG+DyQwNb4M22yD2pnp9Z2A4Ju4ngQ9pQQo29lLKf3ibr/kObzXNjkTQEs6b6f/HpmlwZGW1nIcQISWrgMUpSAIo6pTjeNnAI/jwkMQQmjOy+k7G54SDY2D3BeDaCGEJ0PQt3qUDHXSv49dtw4jma1pzG40wY+JD8rmUXWSzp9rOyYSVjjwJYVGQtwi2PlVt5yKEEFVJEkBR5zjYxHZeAaAjdxBz0t641aL4B8g+F/LuBl8BPWnAJ3TiHpoRi/49jnXJkAT4lJa8TDPaYOMQHm5hH/eRQwFVv9jjZK2ZSAM6gesQrP4LVPP5CBEycglYnIIkgKJO2sNH5LIEM1ZSmY6dptV8Rh44+izsPIdvOEYYJm4ikUy6cg/NSMJazecXev0awqL+8F1/SCWCArz8m0NcyE6+Q73wp6o0YTjJJzZ6XXMTlBys1vMRIqTcIXiIOk0SQFFnbeJJjrOdcOI5l2cIo0F1nxJ49jGJbG5lB1spIhILN5HIN3TlCVoSTYvqPsOgDYiHL9JgxQVwUQK4vPAmRxnETp7nCIU1YJYthnNpx4MA7OE1yJlfzWckRIjJVnDiFEyaptWmLULrLafTSWxsLI7PIUavtFxXRcc8g0GNbr3qZhDbqWhXV98AgzIwhjmPouzE48l3KbvcxqtlfzfTlDgWYaE5pSzDljUENJ1txQzK5TDGINZaHfosVX9HkNSTthazcxGxTMDO+WVtu1jPeuZzkF/L9Ru39x3lsd5J+bNueyk2ZZ8+rFbGdim+sCWB/XH/KIYG9KMTvTiXxjQGwIuXdfzEIpaynXDlsR5SvPh38ryyj6rsDUDHP7xuJ5uddzNYukDDH/yrsks+Aue1vNPkGmWfFfRXxlSleQ6SrOzzOVcoY1+dRembAwbHGr33I2XMmayedV5suUi3fcS8b5V9DD9PhinaVeWrALLVIfdr6pizkX57I6McX1E6BuCXaepY98/02w9dof/L5nGnRtvYQhwOBzExMQYndPZO/KzgIQfYgzhGiRMei63UcxXVS+oAijrNx0EcXE0c32JjILR6C7L/AtSM33tKWEwJi7GRSgx3EMlltCKVVqTi5BA7ySKbteTwW3WfagUWzHShPWl0pxNtMAcuKLhwsYGNLOUHjnA08Gz9uoJVztwC4r7xJ3+ly8F5EzXlvSBESAV7H5/cA1jnSQIo6jwvm3HyF2KZi6nR9VC6C/Y/WN2nVU4p6znMzSxnDKlcSnv6EUMCqQwllaEUkg8Ne0PRXHAtpbo+nRvTkHa0oB0t6UhrGpxUa3EXu1nLOjayiVJ0ZlmrWTTh/uTP0gw8m8AxHCiu7tMSonKcKAMTTH9Rp0kCKOoFN0s4zgRieBWaPgDuHMh7sbpPqwIHuSzlbZYzmxS60ppetCKVKOKgwd/9D58DSteBe53/z9IsTJjQQjyTZcJMJE1pRDca053GdGcECX843+P8yAbWsIEC9of0+KEUThh3czGENQHvHsjPAO1YdZ+WEEJUG0kARb3hYjbsbwLNHoMWL4DPBYf/U92npctDKdmsI5t1mLHQjHO4vCAGIq4ESxOwX+R/BFxHCUfJpoDDODlICQ6Kyec4RRTjoBgnXkoxY8VCGBbCsNIUEzbMhGOlKeG0JJyW2GhJW9oRSRPMf/iI8OBlN/vZwR52sIed7MEXSDxramXDMMzcyWDa0wR8R/zJn6/mJqtChIQHgqoyJZeA6zxJAEX9cvBxsMRC0t3Q6lUwR0CeerFBTeDDy142wrF34Ng4sHYB63lg6+l/WFOxmiNJ5BwSQ3xsL6UcYxtH+IXD/MxnJOCuRT8ZwjAziSGk0hwXHsLzLwOvzh7RQtQ1boKr8yFlYOo8SQBF/bPvH4AGSf+AFjPAEgU8Wc0ndbp84N7gfxSdWBVs5rOUicTSnDhSiCQOO7FEEIedOCKIJUxnNbAPFxpuNEpxk4eLXZSyBxe72I2bQg5QwhFOXiThVqwCrolOJH/nkoILD/9kIVM86pXPQghRn0gCWMtkDTqHBjEV5/VtuHSf/0OTC5RjTXj9DfWBjN4ZqnIP6w36ZBjE1BU9YKN+85R5zyq7lNykHs557onSFw9i8xVhN0+DZk/g+DyBfEUS2PLAIeV4OcmxypiqbEdioXq8G8PeU8ZuSnlZGRvACvLIA9aVax+7/H3/XyzRYLL6S+D4XKC5MZ/02oZR/hLuM7c9DX+43w/gQYNEOdp1XBmLylbX/vu40+W67Z9uvF7Zx2RS3++4bsdAYsNgXh84NwGKPHD56jAWH76U/iP66fZ5lKnK8a7nv8qYV/GNkk0rZZ90vlPGIilSxn44qVTQyYYYjDcpRf3/dT2zlbER2/XLvWiDlF0wpapjio8nbnt6hrLL84UTlTG7QXmrQ56Wuu0lqN+fydcdVca636Q+1vQrJuq2H0G/Fo2LEpS1rUIt2Fp+sgikzpMEUNRbpdoT4CvEbn6GWCZiIopjTKFOlgXxqn/41TXN7fB1P+gaA043jFgDSw5X91kJUcVkFbA4BdkJRNRrpdoMin3jAYhhLI14juDunBbVqVs4rLrAn/ztL4bzl0nyJ4QQemQGUNR7bu01CjHRiOdpwA1YaMZhxuLDUd2nJs7A4CiYlwIxFtjkhEtXwV4p8yfqKw/BTfHUnrVe4izJDKAQQCEfcYgx+CgkggtJYgFWOlT3aYnTdFMcLGjpT/6WHIaByyT5E/WcOwSPszBz5kxatWqF3W4nLS2NNWvWGD5/xowZdOzYkYiICFJSUpg0aRIlJSVBjSlOjySAQgQUs4AcLsfDXqy0JYlviER/gYKoGSzAPxPhrWZgNcEHDshYCflSwkLUd94QPM7QnDlzmDx5MtOmTWPdunX06NGDjIwM8vL0V+3Mnj2b++67j2nTprFlyxbeeOMN5syZwwMPPHDWY4rTZ9I0rQ7e8V73nNjg+/Ae0NuX2/q+fr9h4/+nHLMVu5Sxl6+6S30yqo3dz1F3IVwd2tSrjTLWZf1O3fYHUh9S9hnFh8rYGtJ02/uzouzvFuJpzgs0wL9i9CBvsI8XgIorWRcblEW558BL+oHlyi7MveZSZWy+8oUHm2LrtRt5V9mnp+NnZcyruDnkiyh1QtyNDcpYpw92K2OaYoX4o/H3KPu4CKchDfkzV9OSFgBksphFLGETnZT9VjBAt/1cflL2acQRZWw4n+u2FxCt7LNa8R4EuI1XlbFUh/6SeKv67Q6XGMQUK3MBFnYaqNu+y2B189hnFB9CRudxu7qLIf2X3W+mfvOhRxoouxygqTLW49vtytikS/RXWfdBv9xQkdPNLbHzcTgcxOh9kIfAiZ8V3OAAWxDHKHXCf2PP6FzT0tLo3bs3L73k/+zz+XykpKRwxx13cN9991V4/oQJE9iyZQuZmZllbXfddRerV69m2bJlZzWmOH0yAyjEH3g5ym5Gc5jXAGjKzXRgFmGKsi6i6p1LD+5gHC1pQQklzGYOmSwO+XZ4QtRanhA8zkBpaSlZWVmkp6eXtZnNZtLT01m5cqVun/79+5OVlVV2SXfnzp3Mnz+fYcOGnfWY4vTJIhAhdHnJ5SmK2UAyTxFLP7rwMdk8jNNoCk9UKjsRXMZIutIDgF3s5iP+Rz751XtiQtQ0ISoD43Q6yzWHh4cTHl7xks7hw4fxer0kJpbfjygxMZGtW/V337n++us5fPgwAwcORNM0PB4Pt99+e9kl4LMZU5w+mQEUwoCTr9jCXyhhNzaS6MgsWvEYFirn8o1Qa0kbbmciXemBFy/f8h2v8aYkf0JUopSUFGJjY8se06dPD9nYS5Ys4cknn+Tll19m3bp1zJ07l6+++orHHnssZMcQajIDKMQpFLOdTVxDM+4gkRtI4EpiGcBuHkfvvkARWmGEMYh0BjAIE2aOcJg5/I997K/uUxOi5gp2IVSg/969e8vdA6g3+wfQuHFjLBYLubm55dpzc3NJSkrS7fPQQw/x17/+lVtuuQWAbt26UVhYyK233sqDDz54VmOK0yczgEKcBh/F7OUZtnIjxWRjI4H2PM8VjCHS4IZ/EZwOnMPfmcxALsKEmXWs4VWel+RPiFMJ0SrgmJiYcg9VAmiz2ejZs2e5BR0+n4/MzEz69dPfgrGoqAizuXwaYrH4C/FrmnZWY4rTJzOAQpyBAn5mE3+iGeNI4iY6cR4t6cgSPmUjq2URQqiY23IdN9EhsLTcQT4L+JytbAo8wWBZuRCiWkyePJnRo0fTq1cv+vTpw4wZMygsLGTMmDEA3HjjjTRr1qzsMvLw4cN57rnnOPfcc0lLS2PHjh089NBDDB8+vCwRPNWY4uxJAljLeMP0S3RYR+o//wGDjccHrl+nPlCqwUmo9k03WBtRMl4d6/K6fqkXgPdvuVq3/QuGK/tM4t/K2NjV+qUqFqSpd7nPJbFC2yYWEs8OLveMIiLsXC7lBoZ6UqH4AXD7a1SUxOqPZ1dXleCqA18rY6uT1eVDVCVYVOVhAJbE6pf6ALj41WW67Ttua6fsc83GL5Wxhdepj7WWXmV/D8NKP4bQlyF0IAyNUkp4Hi9PczGFXBx4XvzHJfqDAdoQZYj74h/Wbf8Tnyj7/MD5yphX8RF6Pj8o+1zJp8rYcdSlSqx79dudt1iVfYoskcpYUrZ6p5s4xX2Vx4xWwl+hDrkVVVasihJAAHxkMJ5BjXar4iMvYX2Bsk/kOb8pYzsvUV9qfMQ7Tbf9F0s33fbCqtxg1wOYgux/hkaNGsWhQ4eYOnUqOTk5pKamsmDBgrJFHHv27Ck34zdlyhRMJhNTpkxh//79JCQkMHz4cJ544onTHlOcPbkEHALff/89w4cPJzk5GZPJxKefflourmkaU6dOpWnTpkRERJCens727QZZgKgVjpINzj5oRZPRfEcxhXXBFP0ZRC+DMHXCI/SY6EgPxnIfA8kgjDDcfIeDXhQzFSis7hMUonap4jIwJ0yYMIHdu3fjcrlYvXo1aWm//+K6ZMkS3n777bJ/h4WFMW3aNHbs2EFxcTF79uxh5syZxMXFnfaY4uxJAhgChYWF9OjRg5kz9SuQPvPMM7zwwgvMmjWL1atXExUVRUZGRoXtbkRt5IGSf4OjDVrxk2haESbrAEwxP2AN/wKTSX8mQPiZsZFKP27lPq7iJuKIx8Ex5vIWxxmOD/lFSQghKoNcAg6BSy+9lEsv1d/BQdM0ZsyYwZQpUxgxYgQA7777LomJiXz66adce+21VXmqorJoDih+EEpeQouYCuG3YAm7HLNlGD7vp3jdM/H5FlX3WdYYYUSTwkhSuJpw4gEopogsfmAVi3BTarDHihDilIKpARiK/qLGkwSwkmVnZ5OTk1OuknlsbCxpaWmsXLlSEsC6RjsIReOg5Dm8DR7HEvZnLGFXYQm7Cp9vC173K2B7G0qPV/eZVosIkmnBNTTjMixEAODgKD+ylJ9ZTanR/mRCiNPnJbh7AKvwdkVRPSQBrGQ5OTkAupXMT8T0uFwuXK7ffxj+sRq7qOF823G7RuEpfRSLdRyWsBsxm8/BHP4C3PEE/PImrH0RjqlvPq8zTHaSuJhmXEY8Pcuaj7OdXXzAfBz4pJ6iEKElM4DiFOQewBpq+vTp5aqvp6SkVPcpibOgaZvwlE7AVdQMt+vv+HybITwaet8J43bADYvhvHEQ1aS6TzX07KnQ9EXodIBuTCWenmj4OMwqspjEKv5GDgsl+RNCiGpg0jRNCpeFkMlkYt68eVx55ZWAf3Prtm3b8tNPP5Gamlr2vEGDBpGamsrzzz+vO47eDGBKSgqOHRCjU3d4e5PmuuO0f36f+mTzDL6Qawxi+pVUQF1lAR5Uh9wGu6pZ31YEDhgca5hBTFU5wOi33UyDmEHJEeYq2iMvhovvhI6DwB4o++HzwralkPgRFM8F36GK/dTVckBRcmZ66kRll278oox9g359js10VvaZyuM0oD0N6UsCQ4im0+/BvF2w6C3/43D5eibr5p6jO55R+ZVRzFHGZnO9Mnab61X9Y4Wrj/UT5ypj9y+doR8wKIm0/4F4ZWwbHZUxVWmWjq5tyj5Ry9XJ9ZeDBytjl29V3K/6q7ILC68wKCs0Vr+s0COv3aPsM8mrLucU87TBNhcbFe1nuebux7ldlTGL4jpp1kkz3ScrdpZyZ+xHOByOcrtrhJLT6SQ2NhZ6OyAsiGN4nPBjbKWeq6hecgm4krVu3ZqkpCQyMzPLEkCn08nq1asZN26csp9qw21RB2xa6H/Ep0CvP0GfP0PbvnDOYGAwaDPBtRRci8C1HErXgFZU3WetqyE2epJALxLox3xs/J7c+CjlMEvJ4XO6j5sJ8rumEFXHA0HVpZd7AOs8SQBDoKCggB07dpT9Ozs7m/Xr1xMfH0+LFi2YOHEijz/+OO3bt6d169Y89NBDJCcnl80Sinrq6F749t/+R6OW0PsaGPlnsPUG+2D/A0BzQ+lPYFoOjmXgXA2lVb8Vmh0b3YinDdG0IYaOxNH+D1OPXorIJ4ujrCSPhXgI3LsqyZ8QQtQokgCGwNq1a7nooovK/j158mQARo8ezdtvv80999xTtsF1fn4+AwcOZMGCBdjt9uo6ZVHTHNkNC/4F/f8FltYQMQxsAyB8IISlQHgfaN4Hmk/yP99bCMU7oHi7/0+2g2sHuPeANx+8TjjDe+vMWAknnnDi6U57Yokilmia0phmNKGR4jrzdhz8yCE68yxOfkGTu8eFqH7BzuDJDGCdJwlgCFx44YUY3UppMpl49NFHefTRR6vwrESt5c2GgplAoLC4JcWfCJYMgNiBENUVLFHQoIf/oRzHyXi8lFCMixJ8eDFjwYwZMxaiKMWEBRNh2IjBxu/3+aju5sqlmJ042YmT33DyM0fID2w3NxWDrQWFEFVLLgGLU5AEUIiazrsXij6AnR/4/22ygr0VRLSHiHb+R3R7CG8P1qZgDuz/aokhBoih4ekfilJcHCUXL04KcVBALkfZTx4HOEQWbUP+5QkhhKh6sgq4ljixsmvv0TBiYipW94zZor8q7rOulyjHHLH8W/UBk9WhEkXFErvRdq1r1aH9w9SrIpu9elS3Pec2xbJXYIdBktJQsZKyy1j1EttFr/VTxgZ/sFIZK7lCv92+RdkFxhrEFOP5T+Skv5usEBYLYXG4usViIg5McYAF/7SAG/Cwwd4RDS8aHtwcx8URPPgLVKcf1V+1eUG8+j2zi1bK2FIuUMa8it9DE725yj6/WNRb7BWgs0w+QLWK2Wj1bSo/KWPjVr+jH2it7ALvqUMf33W5MnYfT+m2N+awss9NvKWMZfCNMtZmraJGaQNlF7hTHZr7jf5OSVfN+9pgQLV3Rv5ZGRt94Ue67a8sGa3sM26t4v8RYL7BiajKs96ieHoBxPamalYBd3CAJYhjeJ3wq6wCrstkBlCIukZzg/swuA+j+dRXgY5SP3cjEaJe8HCmtwGXJ+U56zwpBC2EEEIIUc/IDKAQQghR13gJbhGIzADWeZIACiGEEHWNh+Cu8UkCWOdJAiiEEELUNZIAilOQewCFEEIIIeoZmQGsZWKe9hCjt0WwopJKctcDyrHeGWBQSmG1fikFgCOt9Q+2NqqXsk/eMEXtGKCISGVs+G2f67bfyQvKPqOYo4yd65qn214yQ9mFbmxQxlSlXgDsqoopBiV2SFGHjj6i3jkmfq/+Tveldquyz8XP6pd6AeBc/ebEwerSLO9wozI2mxuUsSkfPKvb/v51Vyv7RKLeG9liUMH2Nteruu1ReerpjudS1Ht2a+31203qtwzv36X+uv6y+n/K2IE0/TdOLonKPqqyNwDj1qtLnyzspV8K3PA9Y1D65kIWn3Efow1l0vlOGZu7RL/kzBV8oR5QXVXKsPySs5v+99dhSyPd9uNOH5BncLAQciMzgMKQJIBCCCFEXeMjuEUgUiG4zpNLwEIIIYQQ9YzMAAohhBB1jQeouGnU6ZMZwDpPEkAhhBCirpEEUJyCXAIWQgghhKhnZAZQCCGEqGvcyAygMGTSNE3+m2sBp9NJbGwsjjEQY9N5wl/1+20d0FI5pheLMtZl605lTFNUdDEdUXbhUPsGypjFoN5DtEO/vIn1bfWxDEs69FW0Rxn0WWUQy1aH3rznOt32vzo+UPbJiu2hjL1rUGZl5tG7dNtN25Vd2J+mqB0EvM4tuu1DDMpvnOtar4xFrVXXlHh8gP65p/KTsk+xQemgbFopY+NdL+u27w1X19/ZZTDeP/inbntnNiv7GLmbfyljvfdu1G3fmZKk7NNmfY76YM8bnMhIRfsEgz5z1aEvew3WbW/Hb8o+nSbsVsZ2v5SgjEVSrNteit4Hp1+EQVmh+Lv1P4MA1v3rHN3287Zv0W13FkDseeBwOIiJiVGOG4wTPyvAAaYgjqE5gdhKPVdRvWQGUAghhKiLZHpHGJB7AIUQQggh6hlJAIUQQggh6hlJAIUQQggh6hlJAIUQQggh6hlJAIUQQggh6hlZBVzb3A1EV2x2Jlt1n76Bbsqhrtn7pTJWoq6Kgf12RUC/SgUACc8WqIMb1KGld/bRbR80ZI2yz/6u6vImKs02HlXG3Jeo+1k/VMeMyr2ouAhXxl5epF8uBYCuivbW6i4r6K+MeRQlgsIpVfb5d/gkZazzAHVZlL8zU7f9N9op+/TOVr/ZdrdWlwjZEK7//XCYRso+m+msjG3crz9eUTN1mZqPuUYZMyo50zF5m277es5V9mkT+7UyZvBWg/X6zSX61U0AsC9Xxw6SrNvekV/VnQzKObXsdkgZW7Shn2774DYr1QOqK1HBverQeX31X5AixduzqEpX5boDj2D6i7pMZgCFEEIIERIzZ86kVatW2O120tLSWLNG/cv6hRdeiMlkqvC47LLLyp5z0003VYgPHTq0Kr6UOk9mAIUQQog6x4Px1Obp9D8zc+bMYfLkycyaNYu0tDRmzJhBRkYG27Zto0mTijsIzJ07l9LS368qHDlyhB49enDNNeVnyYcOHcpbb71V9u/wcKPpa3G6ZAZQCCGEqHPcIXicmeeee46xY8cyZswYOnfuzKxZs4iMjOTNN9/UfX58fDxJSUllj4ULFxIZGVkhAQwPDy/3vIYNG57xuYmKJAEUQgghhC6n01nu4XK5dJ9XWlpKVlYW6enpZW1ms5n09HRWrjS4//Ikb7zxBtdeey1RUeX35lyyZAlNmjShY8eOjBs3jiNHDPYdFadNEkAhhBCizvGE4AEpKSnExsaWPaZPn657tMOHD+P1eklMTCzXnpiYSE6OwZ7UAWvWrGHjxo3cckv5fciHDh3Ku+++S2ZmJk8//TRLly7l0ksvxev1nubrIFTkHsBa5mjzcDwxpgrtqpWKRqtKF6YMVMbSvKuVsfD5+pcGXHuUXbAbrB40utVk0Hr9G4jvTX1Y2SfSYGP3VMXyRlvXFco+CR+oVzCX/EUZwp6t376qaw9ln0RylbHtg5srY+3X79NtfzP1OmUfI/nE6bZP5jlln2iOK2NpqN9Pf0P/8tAjTFP22dk6SRl7lKnK2C7Fsug3GaPsk8xBZaxfM/33zSuolsrDUBYoY/9F/YbaZumo2z7coV7p+0HrEcrYdbd/poyRp9/8XdRgZZfLmyxSxsZOfF9xEupTUK5sB0oeUMcGP6qYbTJalG+w0heDySZtu37714X67epPpsrgIbiVvP4P5r179xITE1PWWln3373xxht069aNPn3KV3649tpry/7erVs3unfvTtu2bVmyZAlDhgyplHOpL2QGUAghhKhzQnMPYExMTLmHKgFs3LgxFouF3Nzyv8Tm5uaSlKT+hQ2gsLCQDz/8kJtvvvmUX1WbNm1o3LgxO3bsOOVzhTFJAIUQQggRFJvNRs+ePcnMzCxr8/l8ZGZm0q+ffm3GEz7++GNcLhd/+YvBJZWAffv2ceTIEZo2bRr0Odd3kgAKIYQQdU5o7gE8E5MnT+a1117jnXfeYcuWLYwbN47CwkLGjPHfYnHjjTdy//33V+j3xhtvcOWVV9KoUfmC7AUFBfzjH/9g1apV7Nq1i8zMTEaMGEG7du3IyMg44/MT5ck9gEIIIUSdE5p7AM/EqFGjOHToEFOnTiUnJ4fU1FQWLFhQtjBkz549mM3l5522bdvGsmXL+PbbbyuMZ7FY+OWXX3jnnXfIz88nOTmZSy65hMcee0xqAYaAJIBCCCGECIkJEyYwYcIE3diSJUsqtHXs2BFN098jLyIigm+++SaUpydOIgmgEEIIUedU/U4gonaRBLCWyWQIkVgrtF/mna/7/IHb1ynH+rKTuqRDzBH1pYNNR9roti/mImWf29q/oYxZn1eGQLHK/5HCh5Vd/halPlZnNuu2RxeqS72wVR2yv6qOuRVVNlbQX9ln8pOvqAc0qHhwS9qLuu1GZYCe4j5l7CdSddv3kqLs05FtypiqrAzARSzRbX+SB5V9WrFLGWtIvjI2gP/qtueRqNt+Kiv26v+nrEpRl/pZgHof0x7LFXVFALeiLMqg2Ez9AHAb6jfo1tSWylinjbt121VldACc3Sp+Lp0Qk6f/ebIu7Rxln+S0A8rYd6QrY8enNtBtH/fqO8o+3KkOvTPyz8pY+tTvdNt9iu9xn9MNsVU1o3V2u3mU7y/qMlkEIoQQQghRz8gMoBBCCFHnyCVgYUwSQCGEEKLOqfpVwKJ2kUvAQgghhBD1jMwACiGEEHWOXAIWxiQBFEIIIeocWQUsjJk0VQVGUaM4nU5iY2P5q+MZbDERFeKPME23X7PtR9WDfmxwwGvUoZ3t9Tf2jjMovxG/sUQZc55jUD6ir/6H0PYfmyv7tN++Txmb1P5JZUwlhb3K2OSPDcq2qH6BXmRwsJsMYoUGoUH6d3NEOXzKPhZNXfrmpcTxuu2NOaLsc4BkZezOjf9RxqZ3najbHo5L2aeDQcmZ9EL1C/x01D267efzg7KPzeA8Bs5XlFky+LajiUHsFoOYYuer514bp+zyFmOUsfe5QRnr8YF+OZqt16lLxxiVCFKVFbrn85eUfYze70alme595GHd9qcP6LcD7EzW/0wDiDLlKGOzNP33k6rskctZwiuxj+JwOIiJiVGOG4wTPyvgUyAqiJEKgSsr9VxF9ZJ7AIUQQggh6hm5BCyEEELUObIKWBiTBFAIIYSoc2QRiDAml4CFEEIIIeoZmQEUQggh6hxZBSyMSQIohBBC1DmSAApjkgDWMi8dvIcYneodh5Ib6D7fbVBywppncKBX1aE2nRRlEYzKNsSqQzGr1B80r/w4Wrd93Op31AMeUIeeafKAbvu02IeUffqzQj2gwWv4ywT99u5Pq/sYVFJhQetBytjQtUt124f0+kLZ50IWK2N/3/2abvvXLS9W9rnzY3Wpl9eu+YsyNqlwhm77F1GXK/tcPlZd6uWz1y5RxtJYrdt+0dGVyj7/jb9aGWs4LF+3vcvGnco+PKsO8YE69OaA63TbjxOt7GP03k3moDL243Vdddt7v71R2adT193KWM9ea/UD3yq7gPpQMFgdevqZh3Xbn7lH8Q0J3HO7uhzNdk1dcmoznXXb0/lOt72YUuVYQlQ1SQCFEEKIOkcWgQhjkgAKIYQQdY6UgRHGZBWwEEIIIUQ9IzOAQgghRJ0jl4CFMUkAhRBCiDrHTXA/4mUVcF1n0jRNq+6TEKd2YoPvvTaIMVWMf1dyqW6/bmxQjtl+wj71AVsYnEwn/eZNV7RRdumyXr0qUjM4lilDETDYQ35d2jnKWCMO67ZHc1zZZwPdlbFBi9YoY1sHt9Rt30FbZZ8fuEAZu5t/KWNFROi2L+EiZZ848g3O43zddqP3U2c2K2O956uXdL45TH9169+Wq5fErhug/j8+b/4WZWzhsIG67Rd/vEzZ595rHlbHeEq3Pf7BEmWfnCfUS+KTPncoY8zTb/7xLf0Vu6B+vwO02ahYzQ+gOP1DvfSrDQAkzNcpT3CCqhqB0efM8+rQm0/ov2cA/rZX8b65Sz1eyVvqWKco9ftpOvfptl+3/jPddmcBxJ4PDoeDmJgY9UGDcOJnBTwNis+F01MM3Fup5yqql9wDKIQQQghRz8glYCGEEKLOkVXAwpjMAFaxmTNn0qpVK+x2O2lpaaxZo76EKIQQQpwdTwgeoi6TBLAKzZkzh8mTJzNt2jTWrVtHjx49yMjIIC/PaEsOIYQQQojQkgSwCj333HOMHTuWMWPG0LlzZ2bNmkVkZCRvvvlmdZ+aEEKIOsUdgoeoy+QewCpSWlpKVlYW999/f1mb2WwmPT2dlSsr7kPqcrlwuVxl/3Y4/KsDjyvWbBc59b9ZC/Apz8lptC2lehEjFOk3FzgNjmWwQFBzqmMmryJgsO9wgVPVCWyK10NDvRi+EPV4TsPz0D9WkcGlFZfBC3/c4ByLFF9XscGHuO0szsNovAKj10nxngEoVrx3jV/bsztWoVP/azbq43Kq/0+civ+TMJduMwDHner/x0iD81BtI3s273cw/p5UvQ2Nzj3c6NxVx1IvvgeD11D1ngFwqsY0yGdKDD6DfF71C1WkGFT12p54T1dN8Y1CgruMa/AfIOoEKQNTRQ4cOECzZs1YsWIF/fr1K2u/5557WLp0KatXl9+k/uGHH+aRRx6p6tMUQghRyfbu3Uvz5s0rZeySkhJat25NTo5BmZ/TlJSURHZ2Nna7PQRnJmoamQGsoe6//34mT55c9u/8/HxatmzJnj17AjWehNPpJCUlhb1790qdKuT10COvSXnyepRX1a+HpmkcP36c5OTkSjuG3W4nOzub0lKjSzynx2azSfJXh0kCWEUaN26MxWIhNze3XHtubi5JSUkVnh8eHk54eHiF9tjYWPng/oOYmBh5TU4ir0dF8pqUJ69HeVX5elTFL/B2u10SN3FKsgikithsNnr27ElmZmZZm8/nIzMzs9wlYSGEEEKIyiYzgFVo8uTJjB49ml69etGnTx9mzJhBYWEhY8aMqe5TE0IIIUQ9IglgFRo1ahSHDh1i6tSp5OTkkJqayoIFC0hMTDxl3/DwcKZNm6Z7Wbi+ktekPHk9KpLXpDx5PcqT10PUZ7IKWAghhBCinpF7AIUQQggh6hlJAIUQQggh6hlJAIUQQggh6hlJAIUQQggh6hlJAGuJmTNn0qpVK+x2O2lpaaxZs6a6T6lKfP/99wwfPpzk5GRMJhOffvppubimaUydOpWmTZsSERFBeno627dvr56TrQLTp0+nd+/eREdH06RJE6688kq2bdtW7jklJSWMHz+eRo0a0aBBA66++uoKBcjrkldeeYXu3buXFfPt168fX3/9dVm8vr0ef/TUU09hMpmYOHFiWVt9e00efvhhTCZTuUenTp3K4vXt9RACJAGsFebMmcPkyZOZNm0a69ato0ePHmRkZJCXl1fdp1bpCgsL6dGjBzNnztSNP/PMM7zwwgvMmjWL1atXExUVRUZGBiUlit3sa7mlS5cyfvx4Vq1axcKFC3G73VxyySUUFhaWPWfSpEl88cUXfPzxxyxdupQDBw5w1VVXVeNZV67mzZvz1FNPkZWVxdq1axk8eDAjRoxg06ZNQP17PU72448/8uqrr9K9e/dy7fXxNenSpQsHDx4seyxbtqwsVh9fDyHQRI3Xp08fbfz48WX/9nq9WnJysjZ9+vRqPKuqB2jz5s0r+7fP59OSkpK0f/7zn2Vt+fn5Wnh4uPbBBx9UwxlWvby8PA3Qli5dqmma/+u3Wq3axx9/XPacLVu2aIC2cuXK6jrNKtewYUPt9ddfr9evx/Hjx7X27dtrCxcu1AYNGqTdeeedmqbVz/fItGnTtB49eujG6uPrIYSmaZrMANZwpaWlZGVlkZ6eXtZmNptJT09n5cqV1Xhm1S87O5ucnJxyr01sbCxpaWn15rVxOBwAxMfHA5CVlYXb7S73mnTq1IkWLVrUi9fE6/Xy4YcfUlhYSL9+/er16zF+/Hguu+yycl871N/3yPbt20lOTqZNmzbccMMN7NmzB6i/r4cQshNIDXf48GG8Xm+F3UISExPZunVrNZ1VzZCTkwOg+9qciNVlPp+PiRMnMmDAALp27Qr4XxObzUZcXFy559b112TDhg3069ePkpISGjRowLx58+jcuTPr16+vl6/Hhx9+yLp16/jxxx8rxOrjeyQtLY23336bjh07cvDgQR555BHOP/98Nm7cWC9fDyFAEkAhaq3x48ezcePGcvcy1VcdO3Zk/fr1OBwOPvnkE0aPHs3SpUur+7Sqxd69e7nzzjtZuHAhdru9uk+nRrj00kvL/t69e3fS0tJo2bIlH330EREREdV4ZkJUH7kEXMM1btwYi8VSYUVabm4uSUlJ1XRWNcOJr78+vjYTJkzgyy+/ZPHixTRv3rysPSkpidLSUvLz88s9v66/JjabjXbt2tGzZ0+mT59Ojx49eP755+vl65GVlUVeXh7nnXceYWFhhIWFsXTpUl544QXCwsJITEysd6/JH8XFxdGhQwd27NhRL98jQoAkgDWezWajZ8+eZGZmlrX5fD4yMzPp169fNZ5Z9WvdujVJSUnlXhun08nq1avr7GujaRoTJkxg3rx5LFq0iNatW5eL9+zZE6vVWu412bZtG3v27Kmzr4ken8+Hy+Wql6/HkCFD2LBhA+vXry979OrVixtuuKHs7/XtNfmjgoICfvvtN5o2bVov3yNCgFwCrhUmT57M6NGj6dWrF3369GHGjBkUFhYyZsyY6j61SldQUMCOHTvK/p2dnc369euJj4+nRYsWTJw4kccff5z27dvTunVrHnroIZKTk7nyyiur76Qr0fjx45k9ezafffYZ0dHRZfcoxcbGEhERQWxsLDfffDOTJ08mPj6emJgY7rjjDvr160ffvn2r+ewrx/3338+ll15KixYtOH78OLNnz2bJkiV888039fL1iI6OLrsn9ISoqCgaNWpU1l7fXpO7776b4cOH07JlSw4cOMC0adOwWCxcd9119fI9IgQgZWBqixdffFFr0aKFZrPZtD59+mirVq2q7lOqEosXL9aACo/Ro0drmuYvBfPQQw9piYmJWnh4uDZkyBBt27Zt1XvSlUjvtQC0t956q+w5xcXF2t///netYcOGWmRkpDZy5Ejt4MGD1XfSlexvf/ub1rJlS81ms2kJCQnakCFDtG+//bYsXt9eDz0nl4HRtPr3mowaNUpr2rSpZrPZtGbNmmmjRo3SduzYURavb6+HEJqmaSZN07Rqyj2FEEIIIUQ1kHsAhRBCCCHqGUkAhRBCCCHqGUkAhRBCCCHqGUkAhRBCCCHqGUkAhRBCCCHqGUkAhRBCCCHqGUkAhRBCCCHqGUkAhRBCCCHqGUkAhRBCCCHqGUkAhRBCCCHqGUkAhRBCCCHqGUkAhRBCCCHqGUkAhRBCCCHqGUkAhRBCCCHqGUkAhRBCCCHqGUkAhRBCCCHqGUkAhRBCCCHqGUkAhRBCCCHqGUkAhRBCCCHqGUkAhRBCCCHqGUkAhRBCCCHqGUkAhRBCCCHqGUkAhRBCCCHqGUkAhRBCCCHqGUkAhRBCCCHqGUkAhRBCCCHqGUkAhRBCCCHqGUkAhRBCCCHqGUkAhRBCCCHqGUkAhRBCCCHqGUkAhRBCCCHqmf8Hpf47TXqF9u4AAAAASUVORK5CYII=" + } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "![28Jan2021132546_H13M26S38MS724_Detuning_MOT_Load_F4_-11.75_fit.png](attachment:28Jan2021132546_H13M26S38MS724_Detuning_MOT_Load_F4_-11.75_fit.png)" + ] + }, + { + "cell_type": "code", + "execution_count": 275, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Exact atom number : 41199.9827865463 \n", + "Taylor atom number : 39148.498756176145\n" + ] + } + ], + "source": [ + "A = 0.19134\n", + "sigma_x = 7.31556 * pixel\n", + "sigma_y = 8.16013 * pixel\n", + "print('Exact atom number :',atomnumber(A, sigma_x, sigma_y),\n", + " '\\nTaylor atom number :', atomnumber_taylor(A, sigma_x, sigma_y))" + ] + }, + { + "attachments": { + "28Jan2021132546_H13M26S7MS904_Detuning_MOT_Load_F4_-12.13_fit.png": { + "image/png": "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" + } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "![28Jan2021132546_H13M26S7MS904_Detuning_MOT_Load_F4_-12.13_fit.png](attachment:28Jan2021132546_H13M26S7MS904_Detuning_MOT_Load_F4_-12.13_fit.png)" + ] + }, + { + "cell_type": "code", + "execution_count": 276, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Exact atom number : 36682.8658595838 \n", + "Taylor atom number : 35216.829840362996\n" + ] + } + ], + "source": [ + "A = 0.15483\n", + "sigma_x = 6.90291 * pixel\n", + "sigma_y = 9.61387 * pixel\n", + "print('Exact atom number :',atomnumber(A, sigma_x, sigma_y),\n", + " '\\nTaylor atom number :', atomnumber_taylor(A, sigma_x, sigma_y))" + ] + }, + { + "cell_type": "code", + "execution_count": 277, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Exact atom number : 106062.548865835 \n", + "Taylor atom number : 94944.95245240124\n" + ] + } + ], + "source": [ + "A = 0.38394\n", + "sigma_x = 4.92014 * pixel\n", + "sigma_y = 14.66447 * pixel\n", + "print('Exact atom number :',atomnumber(A, sigma_x, sigma_y),\n", + " '\\nTaylor atom number :', atomnumber_taylor(A, sigma_x, sigma_y))" + ] + }, + { + "cell_type": "code", + "execution_count": 278, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Exact atom number : 7639.90078870896 \n", + "Taylor atom number : 6741.207162987077\n" + ] + } + ], + "source": [ + "A = 0.42582\n", + "sigma_x = 1.41573 * pixel\n", + "sigma_y = 3.26262 * pixel\n", + "print('Exact atom number :',atomnumber(A, sigma_x, sigma_y),\n", + " '\\nTaylor atom number :', atomnumber_taylor(A, sigma_x, sigma_y))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Atom number vs Time to loading rate and time constant" + ] + }, + { + "cell_type": "code", + "execution_count": 279, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Loading rate is : 200000.0 \n", + "Error in loading rate fit is : 1.7816661352714328e-11\n", + "Time constant is : 1.0000000000000002 \n", + "Error in time constant fit is : 2.754621335716845e-16\n" + ] + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "from scipy.optimize import curve_fit\n", + "import matplotlib.pyplot as plt\n", + "\n", + "\n", + "def atomnumbervstime(t, R, tau):\n", + " N = R*tau * (1 - np.exp(-t/tau))\n", + " return N\n", + "\n", + "t = np.linspace(0,1,100)\n", + "N = atomnumbervstime(t,2e5,1)\n", + "\n", + "params, covariance = curve_fit(atomnumbervstime, t, N, p0=[1e5,1])\n", + "R_fit = params[0]\n", + "tau_fit = params[1]\n", + "\n", + "print('Loading rate is :', R_fit,'\\nError in loading rate fit is :', np.sqrt(np.diagonal(covariance)[0]))\n", + "print('Time constant is :', tau_fit,'\\nError in time constant fit is :', np.sqrt(np.diagonal(covariance)[1]))\n", + "plt.plot(t,atomnumbervstime(t,params[0],params[1]))\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Loading rate to Temperature" + ] + }, + { + "cell_type": "code", + "execution_count": 280, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Expansion Data\n", + "kb = 1.380649e-23\n", + "au = 1.66054e-27\n", + "m = 133 * au\n", + "uk = 1e-6\n", + "ms = 1e-3\n", + "us = 1e-6\n", + "\n", + "time = np.array([0,1000,2000,3000,4000]) * us\n", + "amp = np.array([0.3956,0.2666,0.12271,0.07432,0.05784])\n", + "sigmax = np.array([1.09155,1.70779,3.38278,4.85447,6.26291]) * binpixel\n", + "sigmay = np.array([3.72819,4.16915,4.55237,6.57091,7.91675]) * binpixel\n", + "\n", + "plt.scatter(time/ms,sigmax/um)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 282, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Temperature (uK) is : 116.9332378001078 \n", + "Error in Temperature fit is : 3.1993123882144965\n" + ] + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "def tempfind(time,temp):\n", + " sigma_t = np.sqrt(sigmax[0]**2+(kb*temp/m)*time**2) \n", + " return sigma_t\n", + "\n", + "params, covariance = curve_fit(tempfind, time, sigmax, p0=[200 * uk])\n", + "T_fit = params[0]\n", + "\n", + "print('Temperature (uK) is :', T_fit/uk,'\\nError in Temperature fit is :', np.sqrt(np.diagonal(covariance)[0])/uk)\n", + "plt.scatter(time/ms,tempfind(time,params[0])/uk)\n", + "plt.show()" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "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": "3.7.4" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/.ipynb_checkpoints/FileLoadScript-checkpoint.ipynb b/.ipynb_checkpoints/FileLoadScript-checkpoint.ipynb new file mode 100644 index 0000000..cdce550 --- /dev/null +++ b/.ipynb_checkpoints/FileLoadScript-checkpoint.ipynb @@ -0,0 +1,156 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Quick Tutorial" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "['index', 'variable', 'transmission', 'amp', 'amperror', 'imagearray', 'sigmax', 'sigmaxerror', 'sigmay', 'sigmayerror']\n", + "[0.000e+00 1.000e+00 2.000e+00 ... 1.497e+03 1.498e+03 1.499e+03]\n" + ] + } + ], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "# Put your file name in the np.load\n", + "file = np.load(r'C:\\Users\\dpean\\Box\\HoodLab\\Quick Transfers\\02162021221455_H8M59S0MS727__F3ImagingPower__1501.0.npz')\n", + "\n", + "# np.load().files will display all variables within the file\n", + "\n", + "print(file.files)\n", + "\n", + "# To load a particular variable, use the format np.load()['variable_name']\n", + "\n", + "print(file['index'])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Actual processing" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "filename = r'C:\\Users\\dpean\\Box\\HoodLab\\Quick Transfers\\02162021221455_H8M59S0MS727_F3ImagingPower'\n", + "# ideal filename: builddate_buildtime_variable\n", + "# ideal image name: filename+str(index)\n", + "file = np.load(filename+'.npz')\n", + "\n", + "index = file['index']\n", + "variable = file['variable']\n", + "transmission = file['transmission']\n", + "amp = file['amp']\n", + "amperror = file['amperror']\n", + "sigmax = file['sigmax']\n", + "sigmaxerror = file['sigmaxerror']\n", + "sigmay = file['sigmay']\n", + "sigmayerror = file['sigmayerror']" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "ran = range(1450,1500)\n", + "plt.plot(variable[ran], transmission[ran])\n", + "plt.show()\n", + "#print(np.argwhere(transmission>0.5))" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "ename": "FileNotFoundError", + "evalue": "[Errno 2] No such file or directory: 'C:\\\\Users\\\\dpean\\\\Box\\\\HoodLab\\\\Quick Transfers\\\\02162021221455_H8M59S0MS727_F3ImagingPower_img2.npy'", + "output_type": "error", + "traceback": [ + "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[1;31mFileNotFoundError\u001b[0m Traceback (most recent call last)", + "\u001b[1;32m\u001b[0m in \u001b[0;36m\u001b[1;34m\u001b[0m\n\u001b[0;32m 1\u001b[0m \u001b[0mind\u001b[0m \u001b[1;33m=\u001b[0m \u001b[1;36m2\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m----> 2\u001b[1;33m \u001b[0mimg\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mload\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mfilename\u001b[0m\u001b[1;33m+\u001b[0m\u001b[1;34m'_img'\u001b[0m\u001b[1;33m+\u001b[0m\u001b[0mstr\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mind\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m+\u001b[0m\u001b[1;34m'.npy'\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 3\u001b[0m \u001b[0mbcg\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mload\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mfilename\u001b[0m\u001b[1;33m+\u001b[0m\u001b[1;34m'_bcg'\u001b[0m\u001b[1;33m+\u001b[0m\u001b[0mstr\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mind\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m+\u001b[0m\u001b[1;34m'.npy'\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 4\u001b[0m \u001b[0mplt\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mimshow\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mimg\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 5\u001b[0m \u001b[0mplt\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mshow\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n", + "\u001b[1;32m~\\Anaconda3\\lib\\site-packages\\numpy\\lib\\npyio.py\u001b[0m in \u001b[0;36mload\u001b[1;34m(file, mmap_mode, allow_pickle, fix_imports, encoding)\u001b[0m\n\u001b[0;32m 420\u001b[0m \u001b[0mown_fid\u001b[0m \u001b[1;33m=\u001b[0m \u001b[1;32mFalse\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 421\u001b[0m \u001b[1;32melse\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 422\u001b[1;33m \u001b[0mfid\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mopen\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mos_fspath\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mfile\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;34m\"rb\"\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 423\u001b[0m \u001b[0mown_fid\u001b[0m \u001b[1;33m=\u001b[0m \u001b[1;32mTrue\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 424\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n", + "\u001b[1;31mFileNotFoundError\u001b[0m: [Errno 2] No such file or directory: 'C:\\\\Users\\\\dpean\\\\Box\\\\HoodLab\\\\Quick Transfers\\\\02162021221455_H8M59S0MS727_F3ImagingPower_img2.npy'" + ] + } + ], + "source": [ + "ind = 2\n", + "img = np.load(filename+'_img'+str(ind)+'.npy')\n", + "bcg = np.load(filename+'_bcg'+str(ind)+'.npy')\n", + "plt.imshow(img)\n", + "plt.show()\n", + "plt.imshow(bcg)\n", + "plt.show()\n", + "plt.imshow(img/bcg)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "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": "3.7.4" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/AtomNumberEq.ipynb b/AtomNumberEq.ipynb new file mode 100644 index 0000000..def4d14 --- /dev/null +++ b/AtomNumberEq.ipynb @@ -0,0 +1,396 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Amplitude, Waist_x, Waist_y to Atom Number" + ] + }, + { + "cell_type": "code", + "execution_count": 270, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import mpmath as mp\n", + "\n", + "nm = 1e-9\n", + "um = 1e-6" + ] + }, + { + "cell_type": "code", + "execution_count": 271, + "metadata": {}, + "outputs": [], + "source": [ + "raw_pixel = 3.75 * um\n", + "mottolensdistance = 15+7\n", + "lenstocameradistance = 6\n", + "magnification = mottolensdistance/lenstocameradistance\n", + "pixel = magnification * raw_pixel\n", + "binpixel = pixel * 4 " + ] + }, + { + "cell_type": "code", + "execution_count": 272, + "metadata": {}, + "outputs": [], + "source": [ + "wavelength = 852 * nm\n", + "sigma_0 = 3*wavelength**2/(2*np.pi)\n", + "\n", + "def atomnumber(A, sigma_x, sigma_y):\n", + " N = 2*np.pi*mp.polylog(2,A) / (sigma_0 / np.sqrt(sigma_x**2 * sigma_y**2))\n", + " return N\n", + "\n", + "def atomnumber_taylor(A, sigma_x, sigma_y):\n", + " N_taylor = (2 * A * np.pi * sigma_x * sigma_y) / sigma_0\n", + " return N_taylor" + ] + }, + { + "attachments": { + "28Jan2021132546_H13M26S48MS890_Detuning_MOT_Load_F4_-4.28_fit.png": { + "image/png": "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" + } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "![28Jan2021132546_H13M26S48MS890_Detuning_MOT_Load_F4_-4.28_fit.png](attachment:28Jan2021132546_H13M26S48MS890_Detuning_MOT_Load_F4_-4.28_fit.png)" + ] + }, + { + "cell_type": "code", + "execution_count": 273, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Exact atom number : 109360.607622199 \n", + "Taylor atom number : 89436.85072182346\n" + ] + } + ], + "source": [ + "A = 0.61898\n", + "sigma_x = 6.76114 * pixel\n", + "sigma_y = 6.23527 * pixel\n", + "print('Exact atom number :',atomnumber(A, sigma_x, sigma_y),\n", + " '\\nTaylor atom number :', atomnumber_taylor(A, sigma_x, sigma_y))" + ] + }, + { + "attachments": { + "28Jan2021132546_H13M26S18MS127_Detuning_MOT_Load_F4_-7.34_fit.png": { + "image/png": "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" + } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "![28Jan2021132546_H13M26S18MS127_Detuning_MOT_Load_F4_-7.34_fit.png](attachment:28Jan2021132546_H13M26S18MS127_Detuning_MOT_Load_F4_-7.34_fit.png)" + ] + }, + { + "cell_type": "code", + "execution_count": 274, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Exact atom number : 164010.308492465 \n", + "Taylor atom number : 143447.41598316727\n" + ] + } + ], + "source": [ + "A = 0.45058\n", + "sigma_x = 8.20859 * pixel\n", + "sigma_y = 11.31586 * pixel\n", + "print('Exact atom number :',atomnumber(A, sigma_x, sigma_y),\n", + " '\\nTaylor atom number :', atomnumber_taylor(A, sigma_x, sigma_y))" + ] + }, + { + "attachments": { + "28Jan2021132546_H13M26S38MS724_Detuning_MOT_Load_F4_-11.75_fit.png": { + "image/png": "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" + } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "![28Jan2021132546_H13M26S38MS724_Detuning_MOT_Load_F4_-11.75_fit.png](attachment:28Jan2021132546_H13M26S38MS724_Detuning_MOT_Load_F4_-11.75_fit.png)" + ] + }, + { + "cell_type": "code", + "execution_count": 275, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Exact atom number : 41199.9827865463 \n", + "Taylor atom number : 39148.498756176145\n" + ] + } + ], + "source": [ + "A = 0.19134\n", + "sigma_x = 7.31556 * pixel\n", + "sigma_y = 8.16013 * pixel\n", + "print('Exact atom number :',atomnumber(A, sigma_x, sigma_y),\n", + " '\\nTaylor atom number :', atomnumber_taylor(A, sigma_x, sigma_y))" + ] + }, + { + "attachments": { + "28Jan2021132546_H13M26S7MS904_Detuning_MOT_Load_F4_-12.13_fit.png": { + "image/png": "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" + } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "![28Jan2021132546_H13M26S7MS904_Detuning_MOT_Load_F4_-12.13_fit.png](attachment:28Jan2021132546_H13M26S7MS904_Detuning_MOT_Load_F4_-12.13_fit.png)" + ] + }, + { + "cell_type": "code", + "execution_count": 276, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Exact atom number : 36682.8658595838 \n", + "Taylor atom number : 35216.829840362996\n" + ] + } + ], + "source": [ + "A = 0.15483\n", + "sigma_x = 6.90291 * pixel\n", + "sigma_y = 9.61387 * pixel\n", + "print('Exact atom number :',atomnumber(A, sigma_x, sigma_y),\n", + " '\\nTaylor atom number :', atomnumber_taylor(A, sigma_x, sigma_y))" + ] + }, + { + "cell_type": "code", + "execution_count": 277, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Exact atom number : 106062.548865835 \n", + "Taylor atom number : 94944.95245240124\n" + ] + } + ], + "source": [ + "A = 0.38394\n", + "sigma_x = 4.92014 * pixel\n", + "sigma_y = 14.66447 * pixel\n", + "print('Exact atom number :',atomnumber(A, sigma_x, sigma_y),\n", + " '\\nTaylor atom number :', atomnumber_taylor(A, sigma_x, sigma_y))" + ] + }, + { + "cell_type": "code", + "execution_count": 278, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Exact atom number : 7639.90078870896 \n", + "Taylor atom number : 6741.207162987077\n" + ] + } + ], + "source": [ + "A = 0.42582\n", + "sigma_x = 1.41573 * pixel\n", + "sigma_y = 3.26262 * pixel\n", + "print('Exact atom number :',atomnumber(A, sigma_x, sigma_y),\n", + " '\\nTaylor atom number :', atomnumber_taylor(A, sigma_x, sigma_y))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Atom number vs Time to loading rate and time constant" + ] + }, + { + "cell_type": "code", + "execution_count": 279, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Loading rate is : 200000.0 \n", + "Error in loading rate fit is : 1.7816661352714328e-11\n", + "Time constant is : 1.0000000000000002 \n", + "Error in time constant fit is : 2.754621335716845e-16\n" + ] + }, + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYkAAAD4CAYAAAAZ1BptAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjEsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8QZhcZAAAgAElEQVR4nO3deXwV5fn//9fFvu+LEIgECSggCIQA7nVFXLB1w6Ui0mKtWqutRWtbbG1/Vru4tLigIogoIG7UDSlKtQpCAGVHAgQSdghEIEC26/vHGT6/FBMI2c72fj4eeXDOPfeccw1Z3mdm7rnH3B0REZGS1Ah3ASIiErkUEiIiUiqFhIiIlEohISIipVJIiIhIqWqFu4DK1qpVK+/UqVO4yxARiSoLFy7c6e6tj2yPuZDo1KkTaWlp4S5DRCSqmNmGktp1uElEREqlkBARkVIpJEREpFQKCRERKZVCQkRESqWQEBGRUikkRESkVAoJEZEot3rrXv703gqy9+dV+mvH3MV0IiLxIOdAPjO+3sz0tEy+zsqhVg1jQFJLLujetlLfRyEhIhIlioqcuet2MS0tkw+XbeVQQREnn9CY317WnStPa0/LRnUr/T0VEiIiEW5LzgFeT8tiWlomWbsP0LheLa5N6cg1KR04NaEpZlZl762QEBGJQPmFRcxeuZ2pCzbyn292UORw+kktue/iblzc4wTq1a5ZLXUoJEREIkjGzv1MWZDJ9IVZ7Nx3iLZN6vLTc7twbUpHEls2qPZ6FBIiImF2qKCQmcu3MWX+Rr5Yu4uaNYzzTm7D9akdOTu5NbVqhm8gqkJCRCRM1u3Yx2vzNzJ9YRa7c/Pp2KI+913cjav7daBtk3rhLg8oQ0iY2XjgMmC7u/cM2v4CXA7kAWuBEe6+J1j2ADASKAR+5u4zg/bBwJNATeAFd/9z0J4ETAFaAIuAH7p7npnVBV4G+gG7gOvcPaOStltEJCzyCor4aMVWJs/byNx1u6hVw7iwe1uuT03kzC6tqFGj6k5Cl0dZ9iQmAP8k9Af7sFnAA+5eYGaPAg8Ao82sOzAM6AG0B/5tZl2DdcYCFwJZwAIzm+HuK4BHgcfdfYqZPUsoYJ4J/t3t7l3MbFjQ77qKba6ISHhkZufy2vyNTEvLZOe+PDo0D+01XJPSgTaNI2OvoSTHDAl3/9TMOh3R9lGxp/OAq4PHQ4Ep7n4IWG9m6UBqsCzd3dcBmNkUYKiZrQTOA24I+kwEHiIUEkODxwDTgX+ambm7H8f2iYiETWGRM2f1dibN28B/vtmBAeed3JYbByZydnJrakbYXkNJKuOcxK3A1OBxAqHQOCwraAPIPKJ9ANAS2OPuBSX0Tzi8TrDHkhP033lkAWY2ChgFkJiYWMHNERGpmJ37DjF1QSavfrmRTXsO0LpxXe76XheGpSbSvln9cJd3XCoUEmb2IFAATD7cVEI3p+Q5ovwo/Y/2Wt9tdB8HjANISUnRnoaIVDt3Z9HG3Uyau4H3l24lr7CIQZ1b8uClp3Bh97bUDuMIpYood0iY2XBCJ7TPL3YIKAvoWKxbB2Bz8Lik9p1AMzOrFexNFO9/+LWyzKwW0BTILm+9IiJV4UBeITO+3sTLczewfPO3NK5bixsGJHLTwES6tGkc7vIqrFwhEYxUGg2c4+65xRbNAF41s78TOnGdDMwntFeQHIxk2kTo5PYN7u5m9gmhcxpTgOHAO8VeazgwN1j+sc5HiEikyMzOZdK8DUxdkEnOgXy6tW3MH6/syff7JNCwbuxcXVCWIbCvAecCrcwsCxhDaDRTXWBWMGfIPHf/ibsvN7NpwApCh6HucPfC4HXuBGYSGgI73t2XB28xGphiZn8EFgMvBu0vApOCk9/ZhIJFRCRs3J0v1u7ipc8zmL1qGzXMuLhHW24e1IkBSS2qdA6lcLFY+3CekpLiaWlp4S5DRGJIbl4Bby3exITPM1izfR8tGtbhhtREbhyYSLum0XUiujRmttDdU45sj519IhGRSpa1O5dJczcwJTik1DOhCX+9pjeX9WpXbRPshZtCQkSkGHdn4YbdjP98PR8u24qZMbjHCYw4oxP9Tmwek4eUjkYhISJCaGru95ZsYfzn61mSlUPT+rX58dmduXlQJxKi7NqGyqSQEJG4tic3j1fnb+TlLzaw9duDdG7dkD9e2ZMf9E2gQR39idT/gIjEpYyd+xn/+XpeT8viQH4hZ3ZpxSM/OJVzuraOuEn2wkkhISJx4/D5hnGfrmPWym3UrlGDoae159YzkzilXZNwlxeRFBIiEvMKi5yZy7cy7tN1fJW5h2YNanPHuV24+fQTI3oG1kigkBCRmHUgr5DXF2bywmfr2Zidy4ktG/Dw0B5c1a+DzjeUkf6XRCTm7Np3iJfnbuDluRnszs2nT2Izfj3kZC7sfkJUTM8dSRQSIhIzMrNzef6zdUxLy+RgfhEXnNKW287pTEocXt9QWRQSIhL1Vmz+lmf/s5b3lm6hhsGVpyVw2zmdY2IW1nBTSIhIVHJ3vlyfzTNz1vKfb3bQqG4tRp6ZxK1nJHFCU52MriwKCRGJKkVFzsertjN2TjqLN+6hVaM63HdxN24aeCJN69cOd3kxRyEhIlGhoLCI95Zu4Zk5a1m1dS8Jzerzh6E9uDalY9xMthcOCgkRiWiHCgp5c9Emnv3PWjbsyiW5TSP+fm1vLu/dPmpvCRpNFBIiEpEO5BUyZcFGxn26ji05Bzk1oSnP3tSPi7q31bQZ1UghISIRZd+hAl6Zt4EXPlvHzn15pCa14NGrenFWcisNYw0DhYSIRIScA/lM/CKD8Z+vZ09uPmclt+LO73VhQOeW4S4trikkRCSs9uTmMf7zDF76fD17DxZw/sltuOv8ZE7r2CzcpQkKCREJk93783jxv+uZ8EUG+w4VcFH3tvzs/GR6JjQNd2lSjEJCRKrV7v15vPDfdUz4PIPc/EKG9GzHned10VTdEUohISLVYk9uHs9/ViwcTm3Hz85LptsJmjojkh1zkLGZjTez7Wa2rFhbCzObZWZrgn+bB+1mZk+ZWbqZLTGzvsXWGR70X2Nmw4u19zOzpcE6T1kwfKG09xCR6JKTm8/fP1rNmY9+wthP1nJutzZ8ePfZjL2hrwIiCpTlSpQJwOAj2u4HZrt7MjA7eA5wCZAcfI0CnoHQH3xgDDAASAXGFPuj/0zQ9/B6g4/xHiISBb49mM+T/17DmY99zFMfp3N211bM/PnZjL1R4RBNjnm4yd0/NbNORzQPBc4NHk8E5gCjg/aX3d2BeWbWzMzaBX1nuXs2gJnNAgab2RygibvPDdpfBq4EPjjKe4hIBNt/qICJczN47j/ryDmQz8U92nL3+V3p3l7nHKJRec9JtHX3LQDuvsXM2gTtCUBmsX5ZQdvR2rNKaD/ae4hIBDqYX8gr8zbwzJy17Nqfx3knt+HeC7tqtFKUq+wT1yVdDunlaD++NzUbReiQFYmJice7uohUQF5BEdPSMvnHx2vY9u0hzuzSinsv6krfRJ1GjAXlDYltZtYu+ITfDtgetGcBHYv16wBsDtrPPaJ9TtDeoYT+R3uP73D3ccA4gJSUlOMOGRE5foVFztuLN/HE7G/IzD5AyonNeeK6Pgw6SVdIx5LyTqE4Azg8Qmk48E6x9puDUU4DgZzgkNFM4CIzax6csL4ImBks22tmA4NRTTcf8VolvYeIhJG78+GyrQx+4lN+8frXNK1fm5dG9Of1nwxSQMSgY+5JmNlrhPYCWplZFqFRSn8GppnZSGAjcE3Q/X1gCJAO5AIjANw928weBhYE/f5w+CQ2cDuhEVT1CZ2w/iBoL+09RCRMPk/fyWMzV/N15h5Oat2Qp2/syyU9T9DEezHMQgORYkdKSoqnpaWFuwyRmLIkaw+Pfbia/6bvpH3Tevz8wq78oE8CtXQ/h5hhZgvdPeXIdl1xLSKlWrdjH3/76BveW7qFFg3r8NvLunPjgETdCS6OKCRE5Du2f3uQJ2evYcqCTOrWqsHPzk/mx2cl0bie7iEdbxQSIvJ/9h7MZ9yn63jhs/XkFxZx44BE7jovmdaN64a7NAkThYSIkFdQxGvzN/Lk7DVk78/jsl7t+OVF3ejUqmG4S5MwU0iIxDF354NlW3nsw1Vk7MplUOeW3H/JyfTWDX8koJAQiVMLN2Tzp/dWsmjjHrq1bcxLI/pzbtfWGs4q/0MhIRJnMnbu59EPV/HBsq20bVKXx67qxVX9OlCzhsJBvkshIRIn9uTm8eTsNbwybwO1a9bg3gu78qOzkmhQR38GpHT66RCJcXkFRUyat4GnZq9h78F8ruvfkXsu7EqbxvXCXZpEAYWESIxydz5asY1H3l9Jxq5czkpuxW8u7a4b/shxUUiIxKDlm3N4+N0VzFuXTXKbRkwY0Z9zu+mWLHL8FBIiMWTH3kP8deZqpi3MpFn92jw8tAfXpyZqjiUpN4WESAw4VFDIS59n8M+P0zlUUMjIM5K46/xkmtbXNBpSMQoJkSjm7sxasY0/vb+SDbtyueCUNjx4aXeSdKW0VBKFhEiUWrNtL394dwWfrdlJcptGTBqZylnJrcNdlsQYhYRIlMk5kM8T//6Gl+duoGGdmjx0eXduGniizjtIlVBIiESJwiLn9bRMHpu5mt25eVyfmsgvL+pGi4Z1wl2axDCFhEgUWLRxN2PeWc7STTn079ScMZen0jOhabjLkjigkBCJYDv3HeLRD1bx+sIs2jSuyxPXncbQ09prEj6pNgoJkQhUUFjEK/M28LdZ33Awv5DbzunMXecl06iufmWleuknTiTCpGVk85u3l7Fq617O7NKKh67oQZc2jcJdlsQphYRIhNi57xCPvL+KNxZl0b5pPZ65sS+De56gQ0sSVgoJkTArLHJenb+Rv3y4igP5hdx+7kncdV4XTeEtEaFCA6vN7B4zW25my8zsNTOrZ2ZJZvalma0xs6lmVifoWzd4nh4s71TsdR4I2leb2cXF2gcHbelmdn9FahWJREuzcvjB05/z27eX0TOhKR/cfTajB5+sgJCIUe6QMLME4GdAirv3BGoCw4BHgcfdPRnYDYwMVhkJ7Hb3LsDjQT/MrHuwXg9gMPC0mdU0s5rAWOASoDtwfdBXJOp9ezCf372zjCvG/pfNOQd5cthpTP7RAJ17kIhT0Y8rtYD6ZpYPNAC2AOcBNwTLJwIPAc8AQ4PHANOBf1roYOtQYIq7HwLWm1k6kBr0S3f3dQBmNiXou6KCNYuEjbvzryVbePjdFezad4jhgzpx70VdaVJPE/FJZCp3SLj7JjP7K7AROAB8BCwE9rh7QdAtC0gIHicAmcG6BWaWA7QM2ucVe+ni62Qe0T6gpFrMbBQwCiAxMbG8myRSpTJ27ue37yzjszU76dWhKeOH9+fUDrogTiJbuUPCzJoT+mSfBOwBXid0aOhIfniVUpaV1l7SoTAvoQ13HweMA0hJSSmxj0i45BUUMe7TtTz1cTp1a9bg91f04KaBJ1KzhkYtSeSryOGmC4D17r4DwMzeBE4HmplZrWBvogOwOeifBXQEssysFtAUyC7WfljxdUprF4kKCzKyeeDNpaRv38elp7bjd5d3p20T3VtaokdFRjdtBAaaWYPg3ML5hM4XfAJcHfQZDrwTPJ4RPCdY/rG7e9A+LBj9lAQkA/OBBUByMFqqDqGT2zMqUK9ItcnJzeeBN5dwzbNzOZBXyEu39GfsjX0VEBJ1KnJO4kszmw4sAgqAxYQO+bwHTDGzPwZtLwarvAhMCk5MZxP6o4+7LzezaYQCpgC4w90LAczsTmAmoZFT4919eXnrFakO7s57S7fw0IwV7M7N48dnJXHPhV01pFWiloU+zMeOlJQUT0tLC3cZEoc27znAb99exuxV2zk1oSmP/OBUzdQqUcPMFrp7ypHt+ngjUkFFRc6keRt47MNVFDn85tJTuOX0TroJkMQEhYRIBazZtpfRbyxh0cY9nN21NX+6sicdWzQId1kilUYhIVIOeQVFPDNnLWM/Sadh3Zo8fl1vrjwtQZPxScxRSIgcp68z9zD6jSWs2rqXK3q3Z8zl3WnZqG64yxKpEgoJkTI6mF/I47O+4fnP1tGmcT1euDmFC7q3DXdZIlVKISFSBvPXZzP6jSWs37mf61M78sCQUzTfksQFhYTIUeTmFfDYh6uZ8EUGHVvUZ/KPBnBGl1bhLkuk2igkRErxxdqdjH5jCZnZB7jl9E7cd3E3Guoe0xJn9BMvcoT9hwr48wermDRvA51aNmDabYNITWoR7rJEwkIhIVLM3LW7+NUbX5O1+wAjz0zilxd1o36dmuEuSyRsFBIi/O+5h8N7D/07ae9BRCEhcS8tI5tfvv41GbtyueX0TowefLL2HkQCCgmJWwfzC/l7cN1Dh+b1mTJqIAM7twx3WSIRRSEhcWlpVg73TvuKNdv3ccOARB4ccopGLomUQL8VElfyC4sY+0k6//g4ndaN6jLx1lTO6do63GWJRCyFhMSN9O37uHfaVyzJyuHK09rz+yt60rSBrpoWORqFhMS8oiLn5bkZPPLBKhrUqcnTN/ZlyKntwl2WSFRQSEhM25pzkPumf81na3byvW6tefSqXrTRfaZFykwhITHr3SWbefCtZeQVFPGn7/fkhtRE3e9B5DgpJCTmfHswn4feWc6bizfRu2MzHr+2N51bNwp3WSJRSSEhMWX++mzumfoVW789yN3nJ3PXeV10r2mRClBISEzILyziyX+v4ek56XRsEZpWo9+JzcNdlkjUq9BHLDNrZmbTzWyVma00s0Fm1sLMZpnZmuDf5kFfM7OnzCzdzJaYWd9irzM86L/GzIYXa+9nZkuDdZ4yHVCWEqzfuZ+rn/mCf36SztX9OvDez85SQIhUkoruhz8JfOjuJwO9gZXA/cBsd08GZgfPAS4BkoOvUcAzAGbWAhgDDABSgTGHgyXoM6rYeoMrWK/EEHdnWlomlz71GRm7cnn6xr48dnVvGunKaZFKU+7fJjNrApwN3ALg7nlAnpkNBc4Nuk0E5gCjgaHAy+7uwLxgL6Rd0HeWu2cHrzsLGGxmc4Am7j43aH8ZuBL4oLw1S+zIOZDPr99ayntLtjCwcwv+fu1ptG9WP9xlicScinzk6gzsAF4ys97AQuBuoK27bwFw9y1m1ibonwBkFls/K2g7WntWCe3fYWajCO1xkJiYWIFNkmiQlpHN3VO+Ytu3B/nV4G7cdvZJ1KyhI5EiVaEih5tqAX2BZ9y9D7Cf///QUklK+i32crR/t9F9nLunuHtK69aahydWFRY5T/57Ddc+N5eaNYzpt5/OT8/tooAQqUIV2ZPIArLc/cvg+XRCIbHNzNoFexHtgO3F+ncstn4HYHPQfu4R7XOC9g4l9Jc4tHnPAX4+9Svmr8/m+30S+MPQHjSup3mXRKpaufck3H0rkGlm3YKm84EVwAzg8Ail4cA7weMZwM3BKKeBQE5wWGomcJGZNQ9OWF8EzAyW7TWzgcGoppuLvZbEkVkrtjHkqc9YvimHv13Tm8evO00BIVJNKjoM5C5gspnVAdYBIwgFzzQzGwlsBK4J+r4PDAHSgdygL+6ebWYPAwuCfn84fBIbuB2YANQndMJaJ63jyKGCQh55fxUTvsigZ0IT/nF9X5JaNQx3WSJxxUKDjWJHSkqKp6WlhbsMqaD1O/dz56uLWL75W249I4nRl3Sjbi3dUlSkqpjZQndPObJdA8ol4rzz1SZ+/eZSateqwYvDUzj/lLbhLkkkbikkJGIcyCvkoRnLmZqWSf9OzXlyWB9d+yASZgoJiQjp2/dyx+TFfLN9L3d87yTuuaCrJuYTiQAKCQm7Nxdl8eBby2hQpyYTR6Rytu45LRIxFBISNgfzCxnzTujwUmpSC/5xfR/a6q5xIhFFISFhsXbHPu6YvIhVW/dy5/e68PMLknV4SSQCKSSk2r27ZDOjpy+hTq0aTBjRn3O7tTn2SiISFgoJqTZ5BUX8f++vZMIXGfRNbMY/b+ir0UsiEU4hIdVi054D/HTyIr7O3MPIM5O4/5KTqa3DSyIRTyEhVe7Tb3Zw95TF5Bc6z9zYl0tObRfukkSkjBQSUmWKipx/fJzOE7O/oWubxjxzU186t24U7rJE5DgoJKRK7MnN456pX/HJ6h18v08Cf/p+TxrU0Y+bSLTRb61UumWbcrh98kK25hzk4aE9uGngiYRmexeRaKOQkEo1fWEWD761lBYN6zD1tkH0TWwe7pJEpAIUElIp8gqKePjdFUyat4FBnVvyjxv60KpR3XCXJSIVpJCQCtv27UF+OnkRCzfs5razO3Pfxd109bRIjFBISIWkZWRz++RF7D9UwNgb+nJpLw1vFYklCgkpF3fnlXkb+P2/VtCheX1eGTmAbic0DndZIlLJFBJy3A4VFPK7t0Ozt36vW2ueGNaHpvVrh7ssEakCCgk5LltzDvKTVxbyVeYe7jqvC/dc0JUaNTS8VSRWKSSkzBZu2M1PXlnI/kMFPHtTXwb31PkHkVinkJAymbYgk9+8vYwTmtbT+QeROFLhcYpmVtPMFpvZu8HzJDP70szWmNlUM6sTtNcNnqcHyzsVe40HgvbVZnZxsfbBQVu6md1f0Vrl+OUXFvHQjOX86o0lDOjcghl3nqGAEIkjlTGY/W5gZbHnjwKPu3sysBsYGbSPBHa7exfg8aAfZtYdGAb0AAYDTwfBUxMYC1wCdAeuD/pKNdm9P4+bX5zPhC8y+NGZSbx0S3+aNagT7rJEpBpVKCTMrANwKfBC8NyA84DpQZeJwJXB46HBc4Ll5wf9hwJT3P2Qu68H0oHU4Cvd3de5ex4wJegr1WD11r1cMfa/LNy4m79d05vfXNZdF8iJxKGK/tY/AfwKKAqetwT2uHtB8DwLSAgeJwCZAMHynKD//7UfsU5p7d9hZqPMLM3M0nbs2FHBTZJZK7bxg6c/51B+EVNHDeSqfh3CXZKIhEm5Q8LMLgO2u/vC4s0ldPVjLDve9u82uo9z9xR3T2nduvVRqpajcXeenpPOqElpnNSmETPuPJM+mqBPJK5VZHTTGcAVZjYEqAc0IbRn0czMagV7Cx2AzUH/LKAjkGVmtYCmQHax9sOKr1Nau1Syg/mFPPDmUt5avInLe7fnL1f3ol7tmuEuS0TCrNx7Eu7+gLt3cPdOhE48f+zuNwKfAFcH3YYD7wSPZwTPCZZ/7O4etA8LRj8lAcnAfGABkByMlqoTvMeM8tYrpdu+9yDXPz+PtxZv4hcXduWpYacpIEQEqJrrJEYDU8zsj8Bi4MWg/UVgkpmlE9qDGAbg7svNbBqwAigA7nD3QgAzuxOYCdQExrv78iqoN66t2PwtP5q4gN25+bpATkS+w0If5mNHSkqKp6WlhbuMqDBrxTbunrKYJvVq88LwFHomNA13SSISJma20N1TjmzXFddxyN15/rN1PPLBKnolNOX5m1No06ReuMsSkQikkIgzeQVF/PbtZUxNy+TSU9vx12t6U7+Ozj+ISMkUEnEkJzef2ycv5Iu1uzSDq4iUiUIiTmzYtZ8RExaQmZ3L36/tzQ/66gI5ETk2hUQcSMvIZtSkhRS588rIAQzo3DLcJYlIlFBIxLgZX2/ml69/Tfum9XhpRCpJrRqGuyQRiSIKiRgVmmJjLX+ZuZr+nZoz7ocpNG+oGVxF5PgoJGJQfmERD761lGlpWQw9rT2PXd2LurU0gklEjp9CIsbsPZjPTycv4rM1O7nrvC7ce2FXQjOyi4gcP4VEDNmSc4ARLy0gffs+HruqF9f273jslUREjkIhESNWbvmWES8tYN+hAl4a0Z+zkjVluohUnEIiBvx3zU5+8spCGtWtxes/GcQp7ZqEuyQRiREKiSj35qIsfjV9CSe1bsSEW/vTrmn9cJckIjFEIRGlig9xPf2kljz7w340qVc73GWJSIxRSEShwiJnzIxlvDJvI0NPa89fru5NnVoVvV25iMh3KSSizMH8Qn722mI+WrGNn5xzEr+6uJsm6RORKqOQiCJ7cvP40cQ0Fm7czUOXd+eWM5LCXZKIxDiFRJTYtOcAw8fPZ+OuXMbe0Jchp+o2oyJS9RQSUWD11r0MHz+f/YcKmHhrKoNO0iyuIlI9FBIRbkFGNiMnLKBe7ZpM0zUQIlLNFBIRbNaKbdz56iISmtVn4q2pdGzRINwliUicUUhEqGlpmTzw5lJ6tm/C+Fv607JR3XCXJCJxqNyD682so5l9YmYrzWy5md0dtLcws1lmtib4t3nQbmb2lJmlm9kSM+tb7LWGB/3XmNnwYu39zGxpsM5TFifTmT73n7X8avoSTj+pJa/+eKACQkTCpiJXYBUAv3D3U4CBwB1m1h24H5jt7snA7OA5wCVAcvA1CngGQqECjAEGAKnAmMPBEvQZVWy9wRWoN+K5O4+8v5JHPljFZb3a8eLw/jSsq509EQmfcoeEu29x90XB473ASiABGApMDLpNBK4MHg8FXvaQeUAzM2sHXAzMcvdsd98NzAIGB8uauPtcd3fg5WKvFXMKCosY/cYSnvt0HTcPOpGnhvXRVdQiEnaV8jHVzDoBfYAvgbbuvgVCQWJmbYJuCUBmsdWygrajtWeV0B5zil9F/fMLkrn7/GTdKEhEIkKFQ8LMGgFvAD9392+P8setpAVejvaSahhF6LAUiYmJxyo5ouw7VMCPJ6Yxd90uXUUtIhGnQsczzKw2oYCY7O5vBs3bgkNFBP9uD9qzgOK3SusAbD5Ge4cS2r/D3ce5e4q7p7RuHT0329m9P48bn5/H/IxsHr+utwJCRCJORUY3GfAisNLd/15s0Qzg8Ail4cA7xdpvDkY5DQRygsNSM4GLzKx5cML6ImBmsGyvmQ0M3uvmYq8V9bbmHOTa5+aycutenrupH9/v0+HYK4mIVLOKHG46A/ghsNTMvgrafg38GZhmZiOBjcA1wbL3gSFAOpALjABw92wzexhYEPT7g7tnB49vByYA9YEPgq+ot3FXLje+OI/sfXlMHKFpNkQkcllo4FDsSElJ8bS0tHCXUapvtu3lphe+JK+wiIkjUundsVm4SxIRwcwWunvKke0ahF+NlmTtYfj4+dSuWYNptw2ia9vG4S5JROSoFBLVZHbgV/0AAAcsSURBVP76bG6dsIDmDWszeeRAEltqHiYRiXwKiWrw6Tc7GDUpjYRm9Zn8o4Gc0LReuEsSESkThUQV+2j5Vu58dTEntWnEpJGptNI8TCISRRQSVehfX2/m51O/4tSEpkwckUrTBrXDXZKIyHFRSFSR19MyGf3GElI6tWD8Lf1ppIn6RCQKaQa5KjBp3gbum76EM7q0YuKIVAWEiEQt/fWqZC98to4/vreSC05pwz9v6Eu92jXDXZKISLkpJCrR03PSeezD1Qw59QSeuE5TfYtI9FNIVAJ354l/r+HJ2WsYelp7/nZNb2rVVECISPRTSFSQu/PXj1Yz9pO1XN2vA49e1YuaNXQvCBGJDQqJCnB3/vzBKp77dB3Xpybypyt7UkMBISIxRCFRTu7OH99byYv/Xc8PB57I76/ooYAQkZijkCgHd+f3/1rBhC8yGHFGJ353WXfdblREYpJC4ji5Ow/NWM7EuRsYeWYSv7n0FAWEiMQshcRxcHd+985yJs3bwI/PSuLXQxQQIhLbFBJl5O789p1lvDJvI7ed3Zn7LzlZASEiMU8hUQb/ExDndOb+wQoIEYkPuuLrGBQQIhLPFBJH4e6MmbFcASEicUshUYrDw1xfnruBUWcrIEQkPikkSuDuPPzuSiZ8kcHIM5N4QCepRSROKSSO4O488sEqxn++nltO76TrIEQkrkV8SJjZYDNbbWbpZnZ/Vb6Xu/OXmasZ9+k6fjjwRMZcriupRSS+RXRImFlNYCxwCdAduN7MulfV+z05ew1Pz1nL9amJ/P6KHgoIEYl7ER0SQCqQ7u7r3D0PmAIMrYo3enpOOk/8ew3X9Oug2VxFRAKRHhIJQGax51lB2/8ws1FmlmZmaTt27CjXG53YoiHX9OvAn6/qpYAQEQlE+hXXJf219u80uI8DxgGkpKR8Z3lZXNqrHZf2aleeVUVEYlak70lkAR2LPe8AbA5TLSIicSfSQ2IBkGxmSWZWBxgGzAhzTSIicSOiDze5e4GZ3QnMBGoC4919eZjLEhGJGxEdEgDu/j7wfrjrEBGJR5F+uElERMJIISEiIqVSSIiISKkUEiIiUipzL9e1ZxHLzHYAG8q5eitgZyWWEw20zfFB2xwfKrLNJ7p76yMbYy4kKsLM0tw9Jdx1VCdtc3zQNseHqthmHW4SEZFSKSRERKRUCon/NS7cBYSBtjk+aJvjQ6Vvs85JiIhIqbQnISIipVJIiIhIqeIyJMxssJmtNrN0M7u/hOV1zWxqsPxLM+tU/VVWrjJs871mtsLMlpjZbDM7MRx1VqZjbXOxflebmZtZVA+XLMv2mtm1wfd5uZm9Wt01VrYy/FwnmtknZrY4+NkeEo46K5OZjTez7Wa2rJTlZmZPBf8nS8ysb4Xe0N3j6ovQlONrgc5AHeBroPsRfX4KPBs8HgZMDXfd1bDN3wMaBI9vj4dtDvo1Bj4F5gEp4a67ir/HycBioHnwvE24666GbR4H3B487g5khLvuStjus4G+wLJSlg8BPiB0Z8+BwJcVeb943JNIBdLdfZ275wFTgKFH9BkKTAweTwfON7NovvH1MbfZ3T9x99zg6TxCdwGMZmX5PgM8DDwGHKzO4qpAWbb3x8BYd98N4O7bq7nGylaWbXagSfC4KTFwZ0t3/xTIPkqXocDLHjIPaGZm5b43czyGRAKQWex5VtBWYh93LwBygJbVUl3VKMs2FzeS0CeRaHbMbTazPkBHd3+3OgurImX5HncFuprZ52Y2z8wGV1t1VaMs2/wQcJOZZRG6L81d1VNaWB3v7/tRRfxNh6pASXsER44DLkufaFLm7TGzm4AU4JwqrajqHXWbzawG8DhwS3UVVMXK8j2uReiQ07mE9hQ/M7Oe7r6nimurKmXZ5uuBCe7+NzMbBEwKtrmo6ssLm0r9+xWPexJZQMdizzvw3V3Q/+tjZrUI7aYebfcu0pVlmzGzC4AHgSvc/VA11VZVjrXNjYGewBwzyyB07HZGFJ+8LuvP9Tvunu/u64HVhEIjWpVlm0cC0wDcfS5Qj9AkeLGsTL/vZRWPIbEASDazJDOrQ+jE9Iwj+swAhgePrwY+9uCMUJQ65jYHh16eIxQQ0X6sGo6xze6e4+6t3L2Tu3cidB7mCndPC0+5FVaWn+u3CQ1QwMxaETr8tK5aq6xcZdnmjcD5AGZ2CqGQ2FGtVVa/GcDNwSingUCOu28p74vF3eEmdy8wszuBmYRGR4x39+Vm9gcgzd1nAC8S2i1NJ7QHMSx8FVdcGbf5L0Aj4PXgHP1Gd78ibEVXUBm3OWaUcXtnAheZ2QqgELjP3XeFr+qKKeM2/wJ43szuIXTI5ZYo/8CHmb1G6JBhq+BcyxigNoC7P0vo3MsQIB3IBUZU6P2i/P9LRESqUDwebhIRkTJSSIiISKkUEiIiUiqFhIiIlEohISIipVJIiIhIqRQSIiJSqv8HvvRhZSs+rZQAAAAASUVORK5CYII=\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "from scipy.optimize import curve_fit\n", + "import matplotlib.pyplot as plt\n", + "\n", + "\n", + "def atomnumbervstime(t, R, tau):\n", + " N = R*tau * (1 - np.exp(-t/tau))\n", + " return N\n", + "\n", + "t = np.linspace(0,1,100)\n", + "N = atomnumbervstime(t,2e5,1)\n", + "\n", + "params, covariance = curve_fit(atomnumbervstime, t, N, p0=[1e5,1])\n", + "R_fit = params[0]\n", + "tau_fit = params[1]\n", + "\n", + "print('Loading rate is :', R_fit,'\\nError in loading rate fit is :', np.sqrt(np.diagonal(covariance)[0]))\n", + "print('Time constant is :', tau_fit,'\\nError in time constant fit is :', np.sqrt(np.diagonal(covariance)[1]))\n", + "plt.plot(t,atomnumbervstime(t,params[0],params[1]))\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Loading rate to Temperature" + ] + }, + { + "cell_type": "code", + "execution_count": 280, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Expansion Data\n", + "kb = 1.380649e-23\n", + "au = 1.66054e-27\n", + "m = 133 * au\n", + "uk = 1e-6\n", + "ms = 1e-3\n", + "us = 1e-6\n", + "\n", + "time = np.array([0,1000,2000,3000,4000]) * us\n", + "amp = np.array([0.3956,0.2666,0.12271,0.07432,0.05784])\n", + "sigmax = np.array([1.09155,1.70779,3.38278,4.85447,6.26291]) * binpixel\n", + "sigmay = np.array([3.72819,4.16915,4.55237,6.57091,7.91675]) * binpixel\n", + "\n", + "plt.scatter(time/ms,sigmax/um)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 282, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Temperature (uK) is : 116.9332378001078 \n", + "Error in Temperature fit is : 3.1993123882144965\n" + ] + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "def tempfind(time,temp):\n", + " sigma_t = np.sqrt(sigmax[0]**2+(kb*temp/m)*time**2) \n", + " return sigma_t\n", + "\n", + "params, covariance = curve_fit(tempfind, time, sigmax, p0=[200 * uk])\n", + "T_fit = params[0]\n", + "\n", + "print('Temperature (uK) is :', T_fit/uk,'\\nError in Temperature fit is :', np.sqrt(np.diagonal(covariance)[0])/uk)\n", + "plt.scatter(time/ms,tempfind(time,params[0])/uk)\n", + "plt.show()" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "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": "3.7.4" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/FileLoadScript.ipynb b/FileLoadScript.ipynb new file mode 100644 index 0000000..cdce550 --- /dev/null +++ b/FileLoadScript.ipynb @@ -0,0 +1,156 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Quick Tutorial" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "['index', 'variable', 'transmission', 'amp', 'amperror', 'imagearray', 'sigmax', 'sigmaxerror', 'sigmay', 'sigmayerror']\n", + "[0.000e+00 1.000e+00 2.000e+00 ... 1.497e+03 1.498e+03 1.499e+03]\n" + ] + } + ], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "# Put your file name in the np.load\n", + "file = np.load(r'C:\\Users\\dpean\\Box\\HoodLab\\Quick Transfers\\02162021221455_H8M59S0MS727__F3ImagingPower__1501.0.npz')\n", + "\n", + "# np.load().files will display all variables within the file\n", + "\n", + "print(file.files)\n", + "\n", + "# To load a particular variable, use the format np.load()['variable_name']\n", + "\n", + "print(file['index'])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Actual processing" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "filename = r'C:\\Users\\dpean\\Box\\HoodLab\\Quick Transfers\\02162021221455_H8M59S0MS727_F3ImagingPower'\n", + "# ideal filename: builddate_buildtime_variable\n", + "# ideal image name: filename+str(index)\n", + "file = np.load(filename+'.npz')\n", + "\n", + "index = file['index']\n", + "variable = file['variable']\n", + "transmission = file['transmission']\n", + "amp = file['amp']\n", + "amperror = file['amperror']\n", + "sigmax = file['sigmax']\n", + "sigmaxerror = file['sigmaxerror']\n", + "sigmay = file['sigmay']\n", + "sigmayerror = file['sigmayerror']" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "ran = range(1450,1500)\n", + "plt.plot(variable[ran], transmission[ran])\n", + "plt.show()\n", + "#print(np.argwhere(transmission>0.5))" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "ename": "FileNotFoundError", + "evalue": "[Errno 2] No such file or directory: 'C:\\\\Users\\\\dpean\\\\Box\\\\HoodLab\\\\Quick Transfers\\\\02162021221455_H8M59S0MS727_F3ImagingPower_img2.npy'", + "output_type": "error", + "traceback": [ + "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[1;31mFileNotFoundError\u001b[0m Traceback (most recent call last)", + "\u001b[1;32m\u001b[0m in \u001b[0;36m\u001b[1;34m\u001b[0m\n\u001b[0;32m 1\u001b[0m \u001b[0mind\u001b[0m \u001b[1;33m=\u001b[0m \u001b[1;36m2\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m----> 2\u001b[1;33m \u001b[0mimg\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mload\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mfilename\u001b[0m\u001b[1;33m+\u001b[0m\u001b[1;34m'_img'\u001b[0m\u001b[1;33m+\u001b[0m\u001b[0mstr\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mind\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m+\u001b[0m\u001b[1;34m'.npy'\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 3\u001b[0m \u001b[0mbcg\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mload\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mfilename\u001b[0m\u001b[1;33m+\u001b[0m\u001b[1;34m'_bcg'\u001b[0m\u001b[1;33m+\u001b[0m\u001b[0mstr\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mind\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m+\u001b[0m\u001b[1;34m'.npy'\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 4\u001b[0m \u001b[0mplt\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mimshow\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mimg\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 5\u001b[0m \u001b[0mplt\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mshow\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n", + "\u001b[1;32m~\\Anaconda3\\lib\\site-packages\\numpy\\lib\\npyio.py\u001b[0m in \u001b[0;36mload\u001b[1;34m(file, mmap_mode, allow_pickle, fix_imports, encoding)\u001b[0m\n\u001b[0;32m 420\u001b[0m \u001b[0mown_fid\u001b[0m \u001b[1;33m=\u001b[0m \u001b[1;32mFalse\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 421\u001b[0m \u001b[1;32melse\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 422\u001b[1;33m \u001b[0mfid\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mopen\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mos_fspath\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mfile\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;34m\"rb\"\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 423\u001b[0m \u001b[0mown_fid\u001b[0m \u001b[1;33m=\u001b[0m \u001b[1;32mTrue\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 424\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n", + "\u001b[1;31mFileNotFoundError\u001b[0m: [Errno 2] No such file or directory: 'C:\\\\Users\\\\dpean\\\\Box\\\\HoodLab\\\\Quick Transfers\\\\02162021221455_H8M59S0MS727_F3ImagingPower_img2.npy'" + ] + } + ], + "source": [ + "ind = 2\n", + "img = np.load(filename+'_img'+str(ind)+'.npy')\n", + "bcg = np.load(filename+'_bcg'+str(ind)+'.npy')\n", + "plt.imshow(img)\n", + "plt.show()\n", + "plt.imshow(bcg)\n", + "plt.show()\n", + "plt.imshow(img/bcg)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "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": "3.7.4" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +}