{ "cells": [ { "cell_type": "code", "execution_count": 1, "id": "a4246751", "metadata": {}, "outputs": [], "source": [ "from Calculator import *\n", "from Potentials import *\n", "from Helpers import *\n", "from Plotter import *\n", "# %matplotlib notebook" ] }, { "cell_type": "markdown", "id": "c68468e4", "metadata": {}, "source": [ "## Plot ideal trap potential resulting for given parameters only" ] }, { "cell_type": "code", "execution_count": 2, "id": "38c770ac", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\Karthik\\anaconda3\\envs\\Py39VEnv\\lib\\site-packages\\scipy\\optimize\\_minpack_py.py:1010: OptimizeWarning: Covariance of the parameters could not be estimated\n", " warnings.warn('Covariance of the parameters could not be estimated',\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Power = 40*u.W\n", "Wavelength = 1.064*u.um\n", "w_x, w_z = 30*u.um, 30*u.um # Beam Waists in the x and y directions\n", "\n", "#Power = 11*u.W\n", "#w_x, w_z = 67*u.um, 67*u.um # Beam Waists in the x and y directions\n", "\n", "options = {\n", " 'axis': 2, # axis referenced to the beam along which you want the dipole trap potential\n", " 'extent': 1e2, # range of spatial coordinates in one direction to calculate trap potential over\n", " 'crossed': False,\n", " 'delta': 70, # angle between arms in degrees\n", " 'modulation': True,\n", " 'aspect_ratio': 4, # required aspect ratio of modulated arm\n", " 'gravity': True,\n", " 'tilt_gravity': False,\n", " 'theta': 0.75, # gravity tilt angle in degrees\n", " 'tilt_axis': [1, 0, 0], # lab space coordinates are rotated about x-axis in reference frame of beam\n", " 'astigmatism': False,\n", " 'disp_foci': 2.5*u.mm, #0.9 * z_R(w_0 = np.asarray([30]), lamb = 1.064)[0]*u.um, # difference in position of the foci along the propagation direction (Astigmatism)\n", " 'extract_trap_frequencies': False\n", "}\n", "\n", "ComputedPotentials = [] \n", "Params = [] \n", "\n", "Positions, IdealTrappingPotential, TrappingPotential, TrapDepthsInKelvin, CalculatedTrapFrequencies, ExtractedTrapFrequencies = computeTrapPotential(w_x, w_z, Power, options)\n", "ComputedPotentials.append(IdealTrappingPotential)\n", "ComputedPotentials.append(TrappingPotential)\n", "Params.append([TrapDepthsInKelvin, CalculatedTrapFrequencies, ExtractedTrapFrequencies])\n", "\n", "cpots = np.asarray(ComputedPotentials)\n", "plotPotential(Positions, cpots, options, Params)" ] }, { "cell_type": "markdown", "id": "fc9809de", "metadata": {}, "source": [ "## Plot harmonic fit for trap potential resulting for given parameters only" ] }, { "cell_type": "code", "execution_count": 3, "id": "0f3e80f7", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "v, dv, popt, pcov = extractTrapFrequency(Positions, TrappingPotential, options['axis'])\n", "plotHarmonicFit(Positions, TrappingPotential, TrapDepthsInKelvin, options['axis'], popt, pcov)" ] }, { "cell_type": "markdown", "id": "37b40607", "metadata": {}, "source": [ "## Plot trap potential resulting for given parameters (with one parameter being a list of values and the potential being computed for each of these values) only" ] }, { "cell_type": "code", "execution_count": 4, "id": "8504f99f", "metadata": { "scrolled": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\Karthik\\anaconda3\\envs\\Py39VEnv\\lib\\site-packages\\scipy\\optimize\\_minpack_py.py:1010: OptimizeWarning: Covariance of the parameters could not be estimated\n", " warnings.warn('Covariance of the parameters could not be estimated',\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Potentials = [] \n", "Params = [] \n", "Power = [10, 30, 40]*u.W # Single Beam Power\n", "for p in Power: \n", " Positions, IdealTrappingPotential, TrappingPotential, TrapDepthsInKelvin, CalculatedTrapFrequencies, ExtractedTrapFrequencies = computeTrapPotential(w_x, w_z, p, options)\n", " Potentials.append(IdealTrappingPotential)\n", " Potentials.append(TrappingPotential)\n", " Params.append([TrapDepthsInKelvin, CalculatedTrapFrequencies, ExtractedTrapFrequencies])\n", "\n", "cpots = np.asarray(Potentials)\n", "plotPotential(Positions, cpots, options, Params)" ] }, { "cell_type": "markdown", "id": "951010c6", "metadata": {}, "source": [ "## Plot transverse intensity profile and trap potential resulting for given parameters only" ] }, { "cell_type": "code", "execution_count": 5, "id": "f3e4afd9", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Power = 40*u.W\n", "Wavelength = 1.064*u.um\n", "w_x, w_z = 30*u.um, 30*u.um # Beam Waists in the x and y directions\n", "\n", "options = {\n", " 'axis': 2, # axis referenced to the beam along which you want the dipole trap potential\n", " 'extent': 60, # range of spatial coordinates in one direction to calculate trap potential over\n", " 'crossed': False,\n", " 'delta': 70, # angle between arms in degrees\n", " 'modulation': True,\n", " 'modulation_function': 'arccos',\n", " 'modulation_amplitude': 2.16,\n", " 'aspect_ratio': 4, # required aspect ratio of modulated arm\n", " 'gravity': True,\n", " 'tilt_gravity': False,\n", " 'theta': 0.75, # gravity tilt angle in degrees\n", " 'tilt_axis': [1, 0, 0], # lab space coordinates are rotated about x-axis in reference frame of beam\n", " 'astigmatism': False,\n", " 'disp_foci': 2.5*u.mm, #0.9 * z_R(w_0 = np.asarray([30]), lamb = 1.064)[0]*u.um, # difference in position of the foci along the propagation direction (Astigmatism)\n", " 'extract_trap_frequencies': False\n", "}\n", "\n", "positions, waists, I, U, p = computeIntensityProfileAndPotentials(Power, [w_x, w_z], Wavelength, options)\n", "plotIntensityProfileAndPotentials(positions, waists, I, U)" ] }, { "cell_type": "markdown", "id": "db0df307", "metadata": {}, "source": [ "## Plot gaussian fit for trap potential resulting from modulation for given parameters only" ] }, { "cell_type": "code", "execution_count": 6, "id": "7afa7d82", "metadata": {}, "outputs": [ { "data": { "image/png": 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etWvXxKeeekr09vYW3d3dxfDwcPHvv/+udO0jiqK4ceNGsUePHqKbm5vYpk0b8X//+5/e65n169eL3bt3F11dXcWAgADxlVdeETdt2lSpXyq257fffhOHDRsmBgQEiM7OzmLz5s3F4cOHiykpKVX2JRGZjyCKoljv0TAiIiIiIiIiIrJ7zDFFREREREREREQWwcAUERERERERERFZBANTRERERERERERkEQxMERERETUQO3fuxEMPPYS77roLgiBg3bp1NT5nx44d6N27N1xdXdGmTRt88cUXleqsWbMGnTp1gouLCzp16oS1a9eaofVERERkjxiYIiIiImogCgoK0L17d/zvf/8zqP6ZM2cwfPhwKBQKHDp0CG+88QZefPFFrFmzRlsnNTUVY8aMwYQJE3D48GFMmDABo0ePxh9//GGu0yAiIiI7wlX5iIiIiBogQRCwdu1ajBw5sso6r732Gn799VecOHFCW/bss8/i8OHDSE1NBQCMGTMG+fn52LRpk7bO0KFD0aRJE6xcudJs7SciIiL74GjpBtiqsrIynD9/Ho0aNYIgCJZuDhEREdVAFEVcv34dd911FxwcOGgckEZDRURE6JQNGTIEy5YtQ0lJCZycnJCamooZM2ZUqhMbG1vlfouKilBUVKR9XFZWhitXrsDHx4fXTURERDaivq6dGJiqpfPnzyMwMNDSzSAiIiIjZWRkQC6XW7oZViEnJwctWrTQKWvRogVKS0tx+fJl+Pv7V1knJyenyv0uWLAAc+fONUubiYiIqH6Z+9qJgalaatSoEQDpBWrcuHGt96NWA126AOfPV10nIAA4ehSQyQzY4aZNwNixQNu2wMGDtW6XrSgpKcGWLVsQEREBJycnSzfHqrGvjMP+Mg77y3B21VcPPAAcOAB8+aX02aRHSgrw4IM172rdulKEhdXtsiU/Px+BgYHaz3CSVBzBpMnyUL5cX53qRj7NmjULM2fO1D7Oy8tDy5Yt8e+//6Jp06amaLZNKCkpQVJSEsLCwhr+//dyeN48b3vA8+Z524MrV67g7rvvNvu1EwNTtaS5GGvcuHGdAlPJydUHpQAgKws4fBgIDTVgh0OGAIIAnDoFFBQA/v61bpstKCkpgbu7Oxo3bmxXbxC1wb4yDvvLOOwvw9lNX12/DqSlSfeHDgWq+KwcOhSQy6XPOn1ZLwVBhI/PLQwZ4gZXV9P0F6eS3eHn51dp5NPFixfh6OgIHx+fautUHEVVnouLC1xcXCqVN23aVLtfe6D5/+7j49Ow/79XwPPmedsDnjfP256Y+9qJCRYsLDvbtPXg7Q306CHd37GjFi0iIiIygd27pWHBrVsDLVtWWU0mA+LipPsVr3k0jydP/suwUcNktODgYCQmJuqUbdmyBX369NFeeFdVp1+/fvXWTiIiImq4GJiyMEMHNBk18EkztIqBKSIishTNZ5ABw32VSiAhQZq6Xp5cDvz0kxrBwYb+OkM3btxAWloa0m6PVjtz5gzS0tJw7tw5ANIUuyeeeEJb/9lnn8XZs2cxc+ZMnDhxAt988w2WLVuGl19+WVsnOjoaW7ZswQcffIC///4bH3zwAbZu3Yrp06fX56kRERFRA8XAlIUpFNKFd1Uj4wQBCAyU6hksJES6TU6ua/OIiIhqR/MZpPlM0kOtlqqtXAk0bSrNQk9KAlaskG7PnAFGjdIzv4+q9Oeff6Jnz57o2bMnAGDmzJno2bMnZs+eDQDIzs7WBqkAoHXr1ti4cSOSk5PRo0cPvPvuu/jkk0/wyCOPaOv069cPP/30E5YvX45u3bohPj4eq1atwv3331+/J0dEREQNEnNMWZhmCkNUlBSEKp9fQxOsio01MPG5hkIhPfnvv4ELF4BqckAQERGZXEEB8Oef0v0qAlMqFRAdDWRm3imTy6XPxHHj7pSVlZmxnQ1QaGioNnm5PvHx8ZXKQkJCcLCGBVOioqIQFRVV1+YRERERVcIRU1agqikMAQFATAxQVCT9oqxWG7jDpk2Bbt2k+5zOR0RE9W3PHqC0FGjVCggKqrRZpZJ+kCkflAKkBOhRUdJ2IiIiIrIPHDFlJZRKIDISSEoqxaZNafD07IlvvpFhzpw7dTS/JCuVBuwwNFRaym/HDmD0aHM126qJogi1Wo3S0lJLN8UqlJSUwNHREYWFhVAbHOW0X+wv47C/JE5OTpAxS/edaXx68kup1dJIKX2DekRRGvA7fbr0mciuJCIiImr4GJiyIjIZEBIiYuvWMrz7rkOli3bNL8kJCQYEp0JCpCiWHeaZEkUR165dw6VLl+z6C3JFoijCz88PGRkZXCrdAOwv47C/7vD29oafn59994NmtK6eaXwpKZVHSpUnikBGhlTPgLzpRERERGTjGJiyMmo18PXXXev+S/LAgdLt8ePAxYtA8+bmaK5VysnJwbVr19C4cWM0btwYjo6O9v0F8baysjLcuHEDnp6ecHDgLN6asL+Mw/6SgnM3b97ExYsXAQD+Ri2n2oAUFAD79kn39QSmsg1cYM/QekRERERk2xiYsjK7dgnIzXWrcrvBvyT7+ABduwJHjwI7d0pDreyAWq1GXl4emjVrBl9fX0s3x6qUlZWhuLgYrq6udhs4MAb7yzjsL4mbm/T+ffHiRTRv3tw+p/WlpgIlJdKSsq1bV9psaLzOXuN6RERERPbGfr89WCmT/pKsiVzZ0XS+kpISiKIIDw8PSzeFiOyUu7s7AOn9yC6Vzy+lZ7SqQiHlTKxqIKsgSDEthcJsLSQiIiIiK8LAlJUx6S/JdhiY0uDUPSKyFLt//9Hkl6piWK9MJqVABCoHpzSPY2OZ+JyIiIjIXjAwZWUGDBDh43MLgqAnyRSM/CVZk2fq2DHg0iXTNZKIiEifmzeBP/6Q7lcz31yplBbyCAjQLZfLDVzgg4iIiIgaDAamrIxMBkyZchSACX5J9vWV8kwBUp4pIiMIggBBEBAUFGT0c69du4aYmBjExMQgPj7e5G0zVGJiIh5//HHcfffdcHBw0J5Tsp5RhOnp6Rg7dizuueceNGnSBM7OzmjVqhWCg4Px4Ycfori4WKd+TEyMdn/6/uk7hr5jVrcPzb/6tnLlSoSHhyMwMBDu7u5wdnZGQEAAIiMjkZSUZPB+fvjhBzz22GPo2LEjmjZtCnd3d3Ts2BFTp05Fenq63ucUFBRgwYIF6NWrFxo1agR3d3cEBQVh9OjROHfunInOkMymhvxS5SmVQHo6kJQErFgh3Z45w6AUERERkb1h8nMrFBycjZ9+UuOllxx1ltSWy6WglFEX7aGhUgL05GTgkUdM21CiKly7dg1z584FAISEhGDSpEkWaceGDRvw448/GlQ3MzMTq1at0inLz8/Hvn37sG/fPuzduxdr1qwxRzOr5enpWe/H3LZtG7Zu3apTdv78efz6669Yv3491q1bh4cffrjG/bz33nv4559/dMr++ecf/PPPP1i5ciV27tyJnj17ardduHABgwcPxl9//aXznLNnz+Ls2bN48cUX0bJlyzqcGZmdJiAbElJlEim1WlrAIztbmpauUHDaHhEREZE944gpKzVqlFjpl+STJ4GmTYGVK6Vrf7XagB1pluq2wzxTVDeiKEIUxSpHttiC3r17491338XmzZvRvXv3aus2a9YMixYtwvHjx1FQUIALFy5g+vTp2u0qlQpXr17V+1xNX5X/F1rtspmSoKAgvc+dNWuWts6UKVMMOld9+xYEoVavX1hYGFQqFTIyMlBYWIijR4+id+/eAKRz/eabbwzaj4eHB2bMmIGDBw/i1q1bOHToEDp16gQAuHHjhjZ4qTFp0iRtUGry5Mn4999/cevWLZw+fRpfffUV/LlMm/Urn/hcD5UKCAoCwsKA8eOl26AgqZyIiIiI7BMDU1ZMJpOu7ceNA65cAdq2rcXFvCbP1F9/Mc+Ujdu8ebN2atcrr7yiLX/88cchCAIcHR2Rn58PADh58qS27iO3R8oVFhbiueeeQ69evdCsWTM4OzvDw8MD3bp1w+zZs1FQUKBzPH1T+UpKSvDGG2/gnnvugZubG1xdXREQEIBBgwbh008/BSAFF1qXm8KzY8cO7b4MCdaY0oQJE/DWW28hIiICrq6u1dbt0KEDZs6ciXvuuQfu7u7w9fXFjBkztNsFQYCzs7O5m4ybN2/iyy+/BADIZDJER0eb/ZgVPfbYYxg1ahTkcjlcXFzQpUsXPPHEE9rthvZDUlISFi9ejJ49e8LV1RU9evRATEyMdvvff/+tvZ+Wlobff/8dADBgwAB89dVXaN++PVxdXdG6dWtMmTIFbdu2rfGYVU1BDQ0N1W7TBOvKT6UMDQ3F+vXr0b17d7i6uqJ79+7YsGEDysrK8NFHHyEoKAiNGjWCQqHAgQMHDDp/u1NDfimVCoiKgs5IYADIypLKGZwiIiIisk8MTNmAOl3MN2sGdOki3WeeKZs2cOBAuLi4AJCCPRqa+2q1GikpKQCgk99o8ODBAKTA1IoVK3D48GFcvnwZJSUluHnzJo4ePYp3330XSgPmiL766qtYsGAB/v77bxQWFqKoqAjnz5/H9u3bK02Ds2WiKOLixYv4+OOPtWVTp06Fh4eH3vr+/v5wcnJC8+bNMWrUKOzbt6/Wx46Pj8eVK1cAAI888kitcnyZUklJCY4ePYrvvvsOAODi4oLnnnvOoOc2bty4UtnNmze198tPy0tMTNTeb968OcLDw+Ht7Y1GjRph8ODB2LVrV21PwSBHjx7FyJEjceTIERQVFeHIkSMYOXIkHn30Ubzyyis4e/Ysbty4gV27dmHo0KHaIDCVo8kvJZcDbdrobFKrgehoQNSzroembPp0A0cCExEREVGDwsCUlTPJxbzml2t7ns4nikBBgfX80/eC1sDNzQ3BwcEAgIMHD+L69es4ffo0MjMz4eAg/VfWBKT0Babc3NywdOlS/Pfff7h+/TqKi4tx8uRJ9OjRAwCwZcsWHD16tNo2bNu2DQDQunVrZGZmorCwEOnp6UhISNCOzIqPj8eZM2e0zwkJCdFOUaspIXh8fLxBycDNmRB87NixcHBwgL+/P2JjYwEAL730Ej7//PMqn5OTk4PS0lJcunQJ69atQ//+/bFx40ajj11WVqY9JgC8/PLLBj1PXxL1s2fPApBeK2OTsgNSIFMzSqxbt244cOAAmjVrho0bNyJEM0XYSFeuXMF7772nffz888/rnIOGSqXCtm3bkJeXhxs3bmDbtm0ICwurlPfKlK5cuYJ58+YhPz8fL7zwAgCgtLQUKpUKcXFxyMvL0+bVunz5cq1e3wav/DS+Cv9HU1Iq/7hSnigCGRlSPSIiIiKyLwxMWTmTXMwzMCVNMfH0tJ5/5UaNGEMTZFKr1di9e7d2tFRUVBSAOwEpTXnLli3Rvn17ANJIl6KiIjz55JNo2bIlXF1d0a5dO6SlpWn3f/z48WqPr5lKlZWVhblz52Lp0qX4559/MGjQIJ1pbw3NokWLdIIoANCrVy/Ex8fj9OnTuHXrFk6cOIGIiAgAUkCjfH4qQ61fvx7//fcfAEChUODee++tc9tN6dKlS0avzKdx/vx5PPDAAzh58iQA4M0339RJoF5SUqK97+DggN9++w3Xr1/HW2+9BUDq09dff72OZ1A1f39/vPrqq2jUqBGGDRumLQ8ICMALL7yAxo0bY/jw4dpyW869ZjaakZx6ApfZ2YbtwtB6RERERNRwMDBl5UxyMc88Uw2GJjAFSMEnTQBKE2w6dOgQDh48iMzb0czy9RcvXowXXngBu3btwtWrV1FWVlZp/7du3ar2+LGxsRgwYACKi4vx1Vdf4cUXX8SQIUPQvHlzvPTSS3U+v0mTJulNBq7vn7n89NNPUKvVyM7OxocffghHR2nx0iVLlugE8R5++GFMnDgRrVu3hqurKzp27KiTFPy///7D5cuXjTr2okWLtPcNHS0F6E+i3qpVKwDAmTNnjE7KDgCurq4QRRGFhYU4fvy4dqrnjRs3jA5CHj9+HMHBwTh8+DAAabW+8iOnACn5vEa3bt0wYsQIeHp66vTDoUOH9P7d6lPxb6S0tLTa+m3atNGOPHRzc9OWa5LIA9BOpQWkEWVUTg35pQzNW8/89kRERET2h4EpK2eSi/lmzYDOnaX79ppnyt0duHHDev65u9fqNPr06QNvb28A0uio5ORkyGQy9O/fHyEhIVCr1Xj33Xe19csHpn788Uft/bi4ONy8eROiKBqUW0qjVatWSElJwYULF7Bt2zZ89dVXuO+++1BSUoLFixdj7969AFDrqXbWMJUPkEbsNG/eHFOmTNGuIgcA//zzj/a+Ws/82Yrt0gQ6DHHgwAFtjrC7774bDz30kLHNNgsXFxfcc8892pFLgG4/1GTnzp0YMGAAzp07BycnJ3z33Xd48803K9UzZHSYq6trjX2qCR6Vz2VVVlaG06dPV/s8TQDS0HKqYO9eoLgYCAiQVuqoQKGQUk9V9V9XEIDAQKkeEREREdkXBqasnMku5jW/YJdLmm1XBAHw8LCef7UMrMhkMu2Il3379uHs2bPo1asXGjVqpM3788svv9w+ZQGDBg3SPrf8F2xPT08IgoBffvkFGzZsMPj4CxcuxI8//oj8/Hz07dsXo0ePRvfu3bXbz507BwDw8fHRlp09exZXr141/mRN4ObNm7h8+TIuX76sM2ImLy9PW64RExOD7777DqdOnUJRURFyc3MRHx+vM72xXbt22vtdunTB559/jvT0dBQXF+Pvv//Gk08+qbO9adOm2seakTdVBdXKj5aaMWNGnYNv6enpEEXR6OTpOTk5eO6555CUlIScnBwUFxfj33//xfz587V1yvcDIJ2bTCZDkyZNdMp//vlnRERE4OrVq/Dy8sLvv/+OCRMm6D3usGHD4OfnBwA4cuQINmzYgIKCAnz00UfaOpqpktXRnO/ly5exd+9eiKKIjz/+GNmcI2Ze1eSXAqRVZuPipPsVN2sex8ZK9YiIiIjIvjAwZeVMdjGvCUzVIjcMWRfNKCjNlCZNoEpzq5nC1LVrVzRv3lz7PE1ycgCYPHky3NzcoFQqIZfLDT72li1b8Pjjj6N9+/bw8PCAl5cXvvrqKwBAo0aNoLgdIfX09ETXrl0BSAGSpk2bQhAExMTEVLt/U0/lW7hwIZo1a4ZmzZrhwIED2vKRI0dqyzWSk5MxceJEtGvXDq6urmjevDlmzJihDWg9/vjj6N27t7b+33//jWnTpqF169baUUVbtmwBALi7u1ebLL2ijIwMrF69GgDg6+uLiRMnGvxcQH/y86r+1ZT8vLCwEEuWLMEDDzwAf39/uLi4oEOHDkhISAAAODs7Y+HChQa169VXX0VRUREAKRg4aNCgKke+ubi4ID4+Hs7OzigrK8ODDz4IT09P7ZS/Zs2a4cMPP6zxmE888YT2fr9+/dC4cWO8/PLLcK/lKEUykObvqprE+EolkJAgDaoqTy6Xyo0YvElEREREDQgDUzbAJBfzzDPVYISHh+s81oyUatu2rU6Qqfw0PkBaWe6NN95AUFAQXFxc0L17d6xduxYDBgww+NiTJk3Cww8/jFatWsHDwwMymQz+/v545JFHkJKSAv9yc0q///57hIaGwsvLqzanWe8ef/xxREREQC6Xw9XVFU5OTvDz88PQoUPxww8/4LvvvtOp/9VXX0GpVKJt27bw9PSEs7Mz2rRpgylTpiAtLc2ofv3kk0+0AbBp06bp5Diqb02bNsW0adPQq1cv+Pr6wtHREe7u7ujQoQOefvppHDhwQCc5uCkNGTIEe/bsQWRkJHx8fODo6Ai5XI6nn34aBw8erDRSS59XXnkFb7zxBlq1agVnZ2d07NgR69ats7pE8g1K+fxSYWGVNqvVUtxq5UqgaVPg1CnpN5IVK6TbM2cYlCIiIiKyZ4JozizCDVh+fj68vLyQl5eHxo0bm2y/JSUl2LhxI4YPHw4nJyedbWq1tPpedjagGQhz8aKUX0qhMGDUVJcuwLFjUjSr3OgZW1axvwoLC3HmzBltQmq6o6ysDPn5+WjcuLFRuY/sFfvLOOyvO2p6H6rufd4mbdsGDB4s/XqSkaEzvFelAqKjdVeXlculkcCGBqNM2V/m+uymmmn6/vLlyzrTvRu6Bvf/3UA8b563PeB587ztQW5uLnx9fc1+7WTf3x5sjEwmzchzcQEmTZK+B4wfL/1AHRQkfQGoluaX7Bqm8hARERmsivxSKhUQFaUblAKArCypvMbPLCIiIiKyCwxM2Zg6XegzzxQREZmaJjBVbhqfWi2NlNI3JltTNn26VI+IiIiI7BsDUzakzhf6mqS0x45JcwCJiIjqonx+Kc2PH5CmnVf8AaU8UZRm/aWkmLd5RERERGT9GJiyIXW+0Pf1BW6vlIadO03ePiIisjN79gAlJVLiqDZttMXZ2YY93dB6RERERNRwMTBlQ0xyoa/5RZt5poiIqK7KT+Mrl1+q3AKd1TK0HhERERE1XAxM2RCTXOgzzxQREZlK+cTn5SgU0iCqcrEqHYIABAZK9YiIiIjIvjEwZUNMcqE/cKB0e/w480wREVHtFRQA+/ZJ9ysEpmQyIC5Oul/xM0vzODZWqkdERERE9o2BKRtikgt9X1+gWzfp/o4dpm4iERHZC01+qZYtgdatK21WKoGEBCAgQLdcLpfKlcp6aicRERERWTUGpmyMSS70mWeKiIjqqvw0viqG8iqVQHq6NHt8xQrp9swZBqWIiIiI6A5HSzeAjKdUApGR0up72dlSTql+/aQfr1eulB4rFNWMnAoNBT75hHmmiIio9qrIL6VW634+KRSVqhARERERaTEwZaNksjsX+ioV0LYtkJl5Z7tcLk370/urdEiI9Ov2iRPAhQtAixb10WQiImoobty4k18qLExbrFIB0dFGfB4RERERkd3jVD4bp1IBUVG6XwIAICtLKlep9DypaVPmmbJxeXl5WLRoEcLCwtCsWTM4OzvD19cXnTp1wmOPPYbvv/8epaWllm6m0dLT0yEIAgRBQKiFh1g8+eSTaNKkCWQymbZNDg4OaNKkCcLCwrBq1ao67T8+Ph4xMTGIiYnBtWvXTNNoA61bt0577PT09ErbNecbFBRUq/1b0+tIZrJnD1BaCrRqBdz+O6nV5xERERER2T2OmLJharX0y7QoVt4mitKgqOnTpWl/lab1hYYChw9L0/lGj66H1to+fdNTLLGiVGpqKh599FFkZWXplOfm5iI3NxcnTpzAihUrMGzYMPj6+tZ/AxswURRx7do1JCcnIzk5GWlpaViwYEGt9hUfH48dtwPDkyZNgre3twlbWr1169bh22+/BQCEhobWOgBFdkwzFfx24LFOn0dEREREZNc4YsqGpaRU/mW6PFEEMjKkepVopl4wz5RBVCppUEBYGDB+vHQbFFT/IwBOnz6NYcOGaYNSISEhSE5ORkFBAW7duoUTJ07g888/R9++feu3YSYSFBQEURQhiiKSrSg5/5w5cyCKIq5fv46YmBht+cKFC3Hu3DnLNcxMNK+BvtFURADu5Je6/VlSp88jIiIiIrJrDEzZsOzsOtQbOFD6CfuffwzfkZ2ypukpc+bMQV5eHgDg3nvvRWJiIkJCQuDu7g5XV1d07NgRzz77LFJTU3VGSy1duhTh4eHo3LkzGjVqBGdnZ8jlcowdOxZHjhzROUZoaKh2Glb5wERMTIy2PD4+Xlu+Z88eDB06FL6+vnB0dESTJk3QuXNnTJgwAadPn9bW++233xASEoImTZrA0dERPj4+6NGjByZPnoyrV68CqHoK2LFjx/Doo4+iQ4cO2ud7e3tjwIAB+OabbyCWG6aRnJys3cekSZPw448/onv37nBzc0P79u3x8ccf69Q3hqenJ2bPno1GjRoBAMrKyrBPk2cHwMmTJzF58mQEBQXB2dkZjRs3Rr9+/fDVV19pj6lp345y02hbt25dqc9FUUR8fDwGDhwIb29vODs7IygoCM899xxycnKqfM1SU1MxceJE+Pj4wNvbG8OGDcOpU6d0+lczWgoAwsLCtM/VBAP1TeXLzs7GY489hs6dO8PHxwdOTk5o3Lgx+vTpg8WLF9vk1FGqpevXgf37pfu3/5/W6fOIiIiIiOwap/LZMH//OtRr0gTo0QM4dEj65XvcOBO2rOGwpukpZWVlWL9+vfbxSy+9BCcnJ4Oeu3HjRmzfvl2nLCsrC6tWrcKGDRtw8OBBtG/f3ug2ZWZmYsiQIbhx44a27Nq1a7h27RqOHz+OiRMnok2bNjhw4ABGjRqlE7y4cuUKrly5gsOHD2PWrFlo0qRJlcf577//kJCQoFOWl5eH3bt3Y/fu3bhw4QJmzZpV6Xm//vqrThDm5MmTmDlzJvz8/DDOxH/ze/fuRXh4uE5flJSUIDU1FampqUhMTDQ4L5Uoihg/fjx++uknnfKzZ89iyZIlWLt2Lfbs2aN3Ct6IESO0gT4A+P333/HQQw/h6NGjtTux2y5cuIAVK1bolF2/fh0HDhzAgQMH8Pfff2PhwoV1OgbZiF27pDfH1q2lHFOo4+cREREREdk1jpiyYQqFtNqRIOjfLghAYKBUTy9O56uRNU1Pyc3N1Y6WAoBumgT2AL7++mvtKBfNv9dff127fdq0adi3bx9OnTqFoqIi5Obm4q233gIA3LhxA1988UWt2rRv3z5tIObDDz9EYWEhrly5ggMHDmDBggXw8/MDAOzYsUMblFq1ahWKi4tx8eJF7NmzB7Nnz4anp2e1x+natSs2bNiArKwsFBYW4tatW9izZw/c3d0BAIsWLdI7Curq1atYvHgx8vLy8Omnn2rLywerjFFQUIC5c+fi+vXrAAAHBwfcd999AIDJkydr+2LWrFm4du0aDhw4gMDAQADA6tWrkZCQgNDQUIiiiJCQEO1+z5w5o50+FxQUBJVKpQ1KTZo0CdnZ2SgsLNQGhrKzs/HKK6/obWNAQAD+/vtvZGZm4p577gEAnDhxAvv379dOlZw4caK2flJSkvbY1SUqv+uuu7BmzRqcPXsWBQUFKCoqwpEjRyCXywEA33zzjc7fJzVgms+Mcqvx1fnziIiIiIjsFgNTNkwmk5bgBip/GdA8jo2tZiQPA1M1sqbpKRUDL4WFhQY/18/PD4sWLcLAgQPRqFEj+Pj44L333tNuP378eK3a1KZNG+39FStWYP78+di0aROcnJzw2muvoUuXLgCAtm3baut99tln+OCDD5CcnAxfX1/MnTtXG8Cqrv179+7FsGHD4OPjA3d3d/Tr1w83b94EIAXtLl68WOl5PXv2xIwZM9C4cWNMmjRJW25s7qS5c+dCEAR4enpi7ty52vKXX34ZLVu2xMmTJ7V96Ovri3fffRdeXl7o1asXZs6cqa3/66+/GnS8tWvXau/Hx8fD398frq6uGD9+vLb8999/1/vcefPmoUOHDggICMDw4cO15XXNF9W0aVOcOXMGUVFR2vZ069YNmbcjt2q1Gv/991+djkE2Qk9gqs6fR0RERERktxiYsnFKJZCQAAQE6JbL5VK5UlnNkxUKwMEBOHmy+mFBdsyapqf4+vqicePG2sflg0lTpkyBKIqYM2dOpeedPXsW/fr1w6pVq5CVlYXi4uJKdW7duqX3mOWDYfpyCPXo0QMfffQRvL29cejQIbzzzjt47LHH0K1bN9x9993466+/AACRkZF46aWX4O7ujp07d+Ltt9/G6NGjcffdd6N37944f/58tec+duxYvPvuuzhy5AgKCgr0jo7Sdw6aEUMA4OHhob1vTFCvPEEQ4OXlhYEDB+KHH37ABx98AECa5qYhl8shK/ftu/x0u/L1qmNIvRs3bqCoqKhSuanPWWPGjBl4+eWXsX//fuTn5+t9Dep6DLIBeXnAwYPS/Qoj7Or0eUREREREdqtBBabKJz2u+G+/JlEroHd7bacyWQOlEkhPl37EXrFCuj1zxoAvAV5eQK9e0n0rWgHNmljT9BQHBwc89NBD2scLFy6EWq2u8Xnr1q1DQUEBAGDgwIHIyMiAKIpVjt5xdXXV3teMSAKk/Ez6vPTSS7h06RLS0tKwZs0avPnmm5DJZDh58iRefvllbb2PPvoIV65cwf79+/Hzzz/jueeeAwAcPHgQ77zzTpXtv3btGn777TcAgIuLC3bt2oWSkhKIooimTZtWe+7lc3AJVb2IBtCsyldWVoZr165hx44deOyxx7TbW7Roob2fmZmp87qUH6lUvl517Slfb+XKldqpduX/lZWVwcXFpdJzDTnn2vTFDz/8oL2vUqlQVFQEURTRS/MeQvYhJQUoKwPatZPeHCuo9ecREREREdmtBhWY6tevH7Kzs3X+TZkyBUFBQejTp49O3eXLl+vUK59zxRbJZNKP1+PG3fkROzkZWLlSuq0yfsHpfNWytukpMTEx2hXhjhw5gocffhh//vknioqKkJeXp51WVZ6j4501DpycnODh4YFTp07pTOUrr/wIH01AaPfu3Vi3bl2lusePH8dbb72F/fv3w8/PDw899BCioqK0AZNz584BkHJMzZ8/H8eOHUNQUBBGjhyJkSNHavejqaePo6OjNpDi4OCARo0a4datW5gzZw6uXLlS5fPqU7t27bQjlS5fvqxdPTEtLQ0ff/yxtt7DDz+sve/j46O9f/jwYZ0RSKNGjdLenzVrFnbs2IHCwkLk5eUhOTkZTz31lDawVxvlj33kyBGUlZXV+Jzyf0eNGjVCaWkpli5dikOHDtW6HWSD9EzjU6t1P28A3c8jTt8jIiIiouo0qMCUs7Mz/Pz8tP98fHzw66+/4qmnnqo0QsDb21unrpubm4VabXoqFRAUJH1vGD9eug0KksorYWCqRtY0PaVdu3b47bff0Lx5cwDSanv33nsvXF1d4e3tjWXLllV6zvDhw7VJwrdt24amTZuiXbt2uHbtmt5jTJgwQXv/9ddfh5eXFwYMGKATmNC4cuUK5s2bh379+sHPzw/Ozs7o2bOndqSVJsdRRkYG3nzzTfTu3RvNmjWDs7MzwsPDddpYFU9PTwwZMgSANF2ve/fuaNy4Mb744gt4e3tX01v16+uvv9b287x58+Dt7Y2ePXtqg25KpRJRUVHa+v369dPeHzlyJBwcHLRBQaVSqc0nlZ6ejtDQULi5ucHb2xthYWFYvny5zmg2Y5U/dnR0NGQyWY2jqMq3PTw8HB4eHpgxYwYCKv7HoIatQmDKqM8bIiIiIiI9Kn/TbEB+/fVXXL58WSfpscbzzz+PKVOmoHXr1pg8eTKmTp0KB4eq43RFRUU6+Vzy8/MBSMvBl5SUmKzNmn3Vdp9r1woYO1YGafDFnS+aWVkioqKAn35SY9Socrlh7r8fjjIZhDNnUHLypHbpb1tRsb80U7zKysoMGgViqJEjgYcekmaxZGdLOaUUCmkkgAkPY5ABAwbgr7/+wtKlS7FhwwacOHECBQUF8PHxgZ+fH7p3746HHnoIERERKCsrQ6tWrfDbb79h1qxZOHr0KLy8vDB+/HgMGjRIJyCk6a/g4GB8//33WLBgAU6dOoVmzZph1qxZuHHjBubNm6etW1ZWhqCgIDz33HNITU3FuXPncPXqVbi4uODuu+/GmDFjMHPmTJSVlaFnz56YPHky9u3bh6ysLOTl5cHd3R2dO3fGpEmT8PTTT+t9zTSPv/32W7zyyivYtGkTCgoK0K9fP8TGxmLEiBHaAJvm+eX3oflb0MeYv4/q9qPRt29fHDhwAO+//z62b9+OnJwcuLi4oHPnznjiiScwdepU7TQ8AHj22Wdx6tQp/PLLL8jOztbuX3P73XffYciQIYiPj0daWhquX78OX19ftGrVCoMGDcKYMWP0tql8H5QfhVW+fOTIkZg9eza+++47ZGZmavOHVbU/QFp10cXFBatXr8aVK1fQs2dPLFy4EG+99ZbOSD19fWXK/4u2oKysDKIooqSkRCffmEZd3+ct5soVOKalQQBQ0r8/1v5catznTS2Zsr9srs+JiIiI7IAg6stg20BovnRv3LhRp/y9997DoEGD4Obmhm3btmH27NmYNWsW3nrrrSr3FRMTo7Mal8aKFSu0oyQsTa0Gpk6NQG6uK8p/SbhDhK/vLXz5ZaLO1ArFa6+h6T//4OALLyBj0KD6aq5ZODo6ws/PD4GBgXB2drZ0c4jIDhUXFyMjIwM5OTl6Fw2wVX5//IH7FyzAdbkciXH/q9XnjaXdvHkT48ePR15ens5iEmR++fn58PLywuXLl3WmEzd0JSUl2LhxI4YPH66TA7Ch43nzvO0Bz5vnbQ9yc3Ph6+tr9msnmxgxVVVQqLz9+/fr5JHKzMzE5s2b8fPPP1eqWz4A1aNHDwDAO++8U21gatasWTrLvufn5yMwMBAREREmfYFKSkqQmJiI8PBwo//gd+wQkJtb3Usq4PJldzRuPAIhIXfikQ67dwMffoge166hazVTqqxRxf4qLCxERkYGPD09dZJ4kzSS5fr162jUqFGdEoHbC/aXcdhfdxQWFsLNzQ0DBw7U+z5Ul/d5S3LYtg0A4D58OBo3HlGrz5vaMGV/aUY7ExEREZH1sInA1PPPP4+xY8dWW6d8wmZASm7u4+Ojk2y4Kn379kV+fj4uXLigsxpWeS4uLlWugGWOLxa12e+lS4bWc4TOrgcPBj78EA47dsDB0bHqJeismKa/1Go1BEGAg4NDtVMz7ZFmOpWmf6h67C/jsL/ucHBwgCAINb6Pm+vzw2x27AAAyAYNwqVLhl0+VPq8qQNT9JdN9TcRERGRnbCJwJSvry98fX0Nri+KIpYvX44nnnjCoIvQQ4cOaZNH2zJ//1rW698fcHICzp2T1vVu08bkbSMiIht2+TJw5Ih0PzQU/scNe5qhn0tEREREZL9sIjBlrO3bt+PMmTOYPHlypW3r169HTk4OgoOD4ebmhqSkJLz55puYOnWq3hFRtkShkFaKy8oC9GUOEwRpu0JRYYOHB3DffcDu3dKKSwxMERFRebdHS6FzZ6B5cyh8avl5Q0RERERUQYOcb7Fs2TL069cP99xzT6VtTk5OWLJkCYKDg9GtWzfExcXhnXfewaJFiyzQUtOSyYC4OOl+xdl4msexsdCfiPb20t/apcCJiIg0NJ8Ntz8r6vR5Q0RERERUToMMTK1YsQK7d+/Wu23o0KE4dOgQrl+/joKCAhw9ehTR0dFwdGwYg8eUSiAhAQgI0C2Xy6VypbKKJ5YPTDWAhRob8GKTRGTlGuT7T4XAFFCHzxsiIiIionIaRjSGdCiVQGQkkJICZGdLOT769QP27AFWrpQeKxQVfskODgacnYHz54F//wU6dLBY++vCyckJgiCgoKAAbm5ulm4OEdmhmzdvAmhAibYvXACOH5eGQoWE6GzS93lT6fOFiIiIiKgaDEw1UDIZEBoq3VepgLZtgczMO9vlcmkahvYXbTc3KXqVnCz9Mm6jgSmZTAYvLy9cunQJRUVFaNy4MRwdHe1++XpAWjWtuLgYhYWFdr9qmiHYX8Zhf0kjpW7evImLFy/C29sbsoYSndGMlureHfDxqbS5/OcNWYclS5bgww8/RHZ2Njp37ozY2Fgoqkj4NWnSJHz77beVyjt16oRjx44BAOLj4/Hkk09WqnPr1i24urqatvFERERkdxiYauBUKiAqqvLsvKwsqVxnukVY2J3A1LPP1ndTTcbPzw9ubm64ePEi8vPzLd0cqyGKIm7dugU3NzcG6gzA/jIO++sOb29v+Pn5WboZpqNnGp9azVFS1mrVqlWYPn06lixZgv79++PLL7/EsGHDcPz4cbRs2bJS/bi4OLz//vvax6WlpejevTseffRRnXqNGzfGP//8o1PGoBQRERGZAgNTDZhaDURH608ZJYrSrIzp06VpGDIZpC8dc+bcyTNlo18uBUGAt7c3vLy8oFarUVpaaukmWYWSkhLs3LkTAwcObDhTjMyI/WUc9pfEycmp4YyU0qgQmFKppM+WakfhksUsXrwYkydPxpQpUwAAsbGx2Lx5Mz7//HMsWLCgUn0vLy94eXlpH69btw5Xr16tNEJKEISGFXAlIiIiq8HAVAOWkqL7xaEiUQQyMqR6oaEA7rtPmtJ36RJw7BjQpUt9NdUsBEGAo6Njg0lsX1cymQylpaVwdXW168CBodhfxmF/NVCZmcB//wEODsDAgcaNwqV6V1xcjAMHDuD111/XKY+IiMCePXsM2seyZcswePBgtGrVSqf8xo0baNWqFdRqNXr06IF3330XPXv2NFnbiYiIyH7xG3sDlp1tZD0XF2DAACAxUfqF3MYDU0REVEea0VK9ekHt6WXcKFyqd5cvX4ZarUaLFi10ylu0aIGcnJwan5+dnY1NmzZhxYoVOuUdO3ZEfHw8unbtivz8fMTFxaF///44fPgw2rdvr3dfRUVFKCoq0j7WTK0vKSlBSUmJsadmszTnak/nDPC8ed72gefN87YH9XW+DEw1YP7+tagXFnYnMPXCC2ZpFxER2QhNYOqBB4wfhUsWUzHPmyiKBuV+i4+Ph7e3N0aOHKlT3rdvX/Tt21f7uH///ujVqxc+/fRTfPLJJ3r3tWDBAsydO7dSeVJSEtzd3Q04i4YlMTHR0k2wCJ63feF52xeet33QrDZtbgxMNWAKhZT3IytL/y/cgiBt11moR5PcNjkZKCuTpm8QEZF9KpdfyuhRuFTvfH19IZPJKo2OunjxYqVRVBWJoohvvvkGEyZMgLOzc7V1HRwccO+99+K///6rss6sWbMwc+ZM7eP8/HwEBgYiLCwMPnpWd2yoSkpKkJiYiPDwcLua5szz5nnbA543z9se5Obm1stxGJhqwGQyKRltVJQUhCofnNL8cBobW2HKRe/egKcncPUqcPgwwPwRRET26cwZID0dcHQEBgyA/5+GPc3Q0bpkes7OzujduzcSExMxatQobXliYiIiIyOrfe6OHTtw8uRJTJ48ucbjiKKItLQ0dO3atco6Li4ucHFxqVTu5ORkVxf0Gjxv+8Lzti88b/tib+ddX+fK4TANnFIpJaMNCNAtl8urSFLr5AQMHCjd1/xSTkRE9kfzGXDvvYCnp3YUblUzwgQBCAysMAqX6t3MmTPx9ddf45tvvsGJEycwY8YMnDt3Ds8++ywAaSTTE088Uel5y5Ytw/33348uevJLzp07F5s3b8bp06eRlpaGyZMnIy0tTbtPIiIiorrgiCk7oFRKyWhTUqQpFv7+0heHKpPThoUBGzdKX0rKDcMnIiI7Ui6/FFDLUbhU78aMGYPc3Fy88847yM7ORpcuXbBx40btKnvZ2dk4d+6cznPy8vKwZs0axMXF6d3ntWvXMHXqVOTk5MDLyws9e/bEzp07cd9995n9fIiIiKjhY2DKTshkuslo1WopjZTeQJUmz9TOnUBpqTSNg4iI7Ico6uSX0tCMwo2O1k2ELpdLQalKo3DJIqZNm4Zp06bp3RYfH1+pzMvLq9rkph9//DE+/vhjUzWPiIiISAcjDnZIpdL/pSIu7vaXih49AG9v4No14OBBgL+IEhHZl5MnpZUznJ2B4GCdTUaPwiUiIiIiqgYDU3ZGpZKmYVRcpS8rSyqX8k7JgJAQ4JdfpF/MGZgiIrIv27dLt8HBgLs71OrKgajyo3CJiIiIiGqLyc/tiFotjZSqGJQC7pRNny7V0+QU0X45ISIi+6F573/gAahUQFCQNKNv/HjpNihI+qGDiIiIiKiuGJiyIykputP3KhJFICNDqqcNTKWkAMXF9dI+IiKyAmVl2vxSKtmjiIqq/NmhGWXL4BQRERER1RUDU3YkO9uIep07A82aAbduAX/8YdZ2ERGRFTl2DLh0CWo3T0R/3tGwUbZERERERLXEwJQd8fc3op4gcDofEZE9uj1aKqXL/yEzS6iyms4oWyIiIiKiWmJgyo4oFNLqe0IV3zMEAQgMlOoBuBOY0iwZTkREDd/tHyOy2w4wqLqho3GJiIiIiPRhYMqOyGRAXJx0v2JwSvM4Nrbckt+awFRqKnDzZn00kYiILEmtBpKTAQD+IXcb9BRDR+MSEREREenDwJSdUSqBhAQgIEC3XC6XypXKcoVt20obiouBPXvqtZ1ERGQBhw4BeXmAlxcUT7YzbpQtEREREVEtMDBlh5RKID1dmqG3YoV0e+ZMhaAUwDxTRET2RvNeHxICmYujcaNsiYiIiIhqgYEpOyWTAaGhwLhx0m2VXywYmCIish+anIK33/uNGmVLRERERFQLjpZuAFmeWi2tqpSdLeUKUSjKBarCwqTbP/8E8vOBxo0t1k4iIjKj4uI7S+xpfpSAFHyKjKzmc4KIiIiIqA4YmLJzKhUQHQ1kZt4pk8ulJOlKJYCWLYF27YCTJ6VvJSNGWKytRERkRvv3AwUFQLNmQOfOOps0o2yJiIiIiEyNU/nsmEoFREXpBqUAICtLKlepbhdwOh8RUcOneY8PDYVadEByMrBypbRIn1ptyYYRERERUUPGwJSdUqulkVKiWHmbpmz69NtfRjTT+bZtq6/mERFRfbsdmFI1mYygIOmtf/x46TYoqNyPFUREREREJsTAlJ1KSak8Uqo8UQQyMm6nG9EEpg4fBnJz66V9RERUj27dAvbsgQqjEPVVRM0jaYmIiIiITISBKTuVnW1EvRYtgC5dpALNik1ERNRw7N4NdXEpomX/M2wkLRERERGRiTAwZaf8/Y2sxzxTREQN1/btSIECmeq7AAh6q+iMpCUiIiIiMhEGpuyUQiGtvifo//4BQQACA6V6AIBBg6Rb5pkiImp4tm1DNgz7xcLQEbdERERERIZgYMpOyWRAXJx0v2JwSvM4NlaqBwAYOBBwcAD+/bf65FRERGRb8vKAP/+EPwyLOBk64paIiIiIyBAMTNkxpRJISAACAnTL5XKpXKksV+jtDfTpI93ndD4iooZjxw6grAyKdjnGjaQlIiIiIjIBBqbsnFIJpKdLOc1XrJBuz5ypEJTSYJ4pIqKG5/Z7umxwmHEjaYmIiIiITICBKYJMBoSGAuPGSbcAkJwMrFwp3WpXYNIEprZtg95lm4iIyPZocgc+8IBxI2mJiIiIiEzA0dINIOuiUgHR0bpppORyKR+Vcmh/wNlZ2njyJNC+veUaSkREdXfhAvDXX9L9sDAAUvApMlJafS87W8oppVBwpBQRERERmQcDU6SlUgFRUZUHQ2VlSeUJCe5QBgdL+Ui2bWNgiojI1iUlSbfduwO+vtpizUhaIiIiIiJz41Q+AiBN14uO1j9DT1M2fTqgDhssPWCeKSIi23f7vVwdNlj/FG4iIiIiIjNjYIoASFM2yk/fq0gUgYwMIKVppFSwfTtQVlY/jSMiIvPYvh0qjELQD+8iLAwYP16a0RcUJI2iJSIiIiIyNwamCICUR8Sget73AB4eQG4ucPSoeRtFRETmc/YsVKe6IQoJyLzsqrNJM4WbwSkiIiIiMjcGpgiAlNzWoHqBjsDAgdIDzUpORERkc9RbkxCNOEiztQWdbTpTuDmtj4iIiIjMiIEpAiCtuCSXA4Kgf7sgAIGBUj0MGiQVMjBFRGSzUn7KQiYCUdWlgHYKd0r9touIiIiI7AsDUwRAWoEpLk66XzE4pXkcG3t7ufAHHpAKdu4ESkrqq4lERGQqoojs/dUkFizH0KneRERERES1wcAUaSmVQEICEBCgWy6XS+VK5e2C7t0BHx/gxg1g3756bycREdXRiRPwzzthUFVDp3oTEREREdUGA1OkQ6kE0tOBpCRgxQrp9syZckEpAHBwkJZtAjidj4jIFm3bBgVSIHe5ZNgUbiIiIiIiM2FgiiqRyYDQUGDcOOkWAJKTgZUrpVu1GswzRURky7ZuhQxliIuSEkjVOIWbiIiIiMhMGJiiaqlUQFCQNEBq/HjpNigIUJU+LFVITQUKCizZRCIiMkZpqfQrAwBldKBhU7iJiIiIiMyEgSmqkkoFREUBmRXy42ZlAVEv+kPl87SU/HzXLss0kIiIjHfgAJCfD3h7A716GTaFm4iIiIjITBiYIr3UaiA6WlouvCKpTMD0WwughgOn8xER2RLNe3ZoqHaeXsUp3Jy+R0RERET1hYEp0islpfJIqfJEEci46YMUKBiYIiKyJZr3bE2uQCIiIiIiC2JgivTKzjawHvyBQ4eAK1fM2yAiIqq7W7eA3buhhgOSGz2ku6gFEREREZEFMDBFevn7G1ivlYs0fCopybwNIiKiutuzB6qi4QhyyEDYpFa6i1qoLN04IiIiIrJHDEyRXgqFtCpTxSXENQQBCAwEFA96SQWczkdEZPVUS3IQhQRklun++pCVJS12weAUEREREdU3BqZIL5kMiIuT7lcMTmkex8YCsvAHpAcMTBERWTW1Goj+bTCkNS1039g1C11Mn85pfURERERUvxiYoioplUBCAhAQoFsul0vlSiWAkBDAwQH499/qs6UTEZFFpWy6gcziFqjqo18UgYwMafELIiIiIqL6YlOBqXnz5qFfv35wd3eHt7e33jrnzp3DQw89BA8PD/j6+uLFF19EcXGxTp2jR48iJCQEbm5uCAgIwDvvvANR83Mx6VAqgfR0KYXUihXS7Zkzt4NSAODtDfTpI93futVCrSQioppkJ/1tWD0DF78gIiIiIjIFR0s3wBjFxcV49NFHERwcjGXLllXarlarMWLECDRr1gy7du1Cbm4uJk6cCFEU8emnnwIA8vPzER4ejrCwMOzfvx///vsvJk2aBA8PD7z00kv1fUo2QSYDQkOrqTBoELBvnzSdb9KkemoVEREZw//MHgB9aq5n4OIXRERERESmYFOBqblz5wIA4uPj9W7fsmULjh8/joyMDNx1110AgEWLFmHSpEmYN28eGjdujB9//BGFhYWIj4+Hi4sLunTpgn///ReLFy/GzJkzIVSV7Zu01Gppqkd2tvQFRhE2GLIFC6TAlChWnTGdiIgsRnFiKeQYhSzIIaLy+7QgSFO1FQoLNI6IiIiI7JZNTeWrSWpqKrp06aINSgHAkCFDUFRUhAMHDmjrhISEwMXFRafO+fPnkZ6eXt9NtjkqlbSseFgY7iwz/mQYVE5jpEjViROWbiIREVWUlQXZ38cQh+mAUMOiFrL6bhwRERER2TObGjFVk5ycHLRo0UKnrEmTJnB2dkZOTo62TlBQkE4dzXNycnLQunVrvfsuKipCUVGR9nF+fj4AoKSkBCUlJaY6Be2+TLlPU1m7VsDYsbLbqzfd+VaTdR6IElciAcWI3LwZZe3b11ubrLm/rA37yjjsL+Owvwxnib4SNm+GI4CRfc7hp1fUmDlThqysO+/jAQEiFi1S46GHRFjbS2jK/uLfJxEREZH1sXhgKiYmRjtFryr79+9Hnz4158UAoHcqniiKOuUV62gSn1c3jW/BggV627llyxa4u7sb1DZjJCYmmnyfdaFWA9OmRUAUZai8zLgAAWWYjljct2I0DrRpU+/ts7b+smbsK+Owv4zD/jJcffZVr++/RyCAk61awcVlAz75BDh+3AdXr7qiSZNCdOqUC5kM2Lix3ppkNFP0182bN03QEiIiIiIyJYsHpp5//nmMHTu22joVRzhVxc/PD3/88YdO2dWrV1FSUqIdFeXn56cdPaVx8eJFAKg02qq8WbNmYebMmdrH+fn5CAwMREREBBo3bmxQ+wxRUlKCxMREhIeHw8nJyWT7rasdOwTk5lb95yLCARloif+ONcXwiAjAsX7+tKy1v6wR+8o47C/jsL8MV+99JYpw/L//AwC0efpptH7gAQDAQw+Z/9CmYMr+0ox2JiIiIiLrYfHAlK+vL3x9fU2yr+DgYMybNw/Z2dnwv72s0JYtW+Di4oLevXtr67zxxhsoLi6Gs7Ozts5dd91VbQDMxcVFJy+VhpOTk1m+WJhrv7V16ZJh9XJuecEpLQ0IDjZreyqytv6yZuwr47C/jMP+Mly99dWJE0B2NtQu7tglhCE7wUlauEJhW/mkTNFf/NskIiIisj42lfz83LlzSEtLw7lz56BWq5GWloa0tDTcuHEDABAREYFOnTphwoQJOHToELZt24aXX34ZTz/9tHZU0/jx4+Hi4oJJkybhr7/+wtq1azF//nyuyFcDQ5cP90c2sHWreRtDRESG27oVKoxCENIRNsT5zsIVQdKCFkRERERElmRTganZs2ejZ8+emDNnDm7cuIGePXuiZ8+e+PPPPwEAMpkMGzZsgKurK/r374/Ro0dj5MiR+Oijj7T78PLyQmJiIjIzM9GnTx9MmzYNM2fO1JmmR5UpFNIy4lXF7gQBCGxyAwqkMDBFRGRFVN/dQBQSkFmkOzo5KwuIimJwqiFasmQJWrduDVdXV/Tu3RspKSlV1k1OToYgCJX+/f333zr11qxZg06dOsHFxQWdOnXC2rVrzX0aREREZCcsPpXPGPHx8YiPj6+2TsuWLfHbb79VW6dr167YuXOnCVvW8MlkQFyc9CVGEHB7ZT6Jdpnx925A9lwZkJoKFBQAHh6WaSwREQEA1EWliD4wAbeX+NDZJorS+/f06UBkpG1N66OqrVq1CtOnT8eSJUvQv39/fPnllxg2bBiOHz+Oli1bVvm8f/75RydnZrNmzbT3U1NTMWbMGLz77rsYNWoU1q5di9GjR2PXrl24//77zXo+RERE1PDZ1IgpsiylEkhIAAICdMvlcqlc+X8tpLkhJSVANb/OEhFR/Uj5+h9kinJU9XEvikBGBt+yG5LFixdj8uTJmDJlCu655x7ExsYiMDAQn3/+ebXPa968Ofz8/LT/ZOUilbGxsQgPD8esWbPQsWNHzJo1C4MGDUJsbKyZz4aIiIjsAQNTZBSlEkhPB5KSgBUrpNszZ6RyCAIwaJBUkdP5iIgsLjv5H8PqZZu5IVQviouLceDAAUREROiUR0REYM+ePdU+t2fPnvD398egQYOQlJSksy01NbXSPocMGVLjPomIiIgMYVNT+cg6yGRAaGgVGwcPBpYtY2CKiMgK+P+3E4Cy5noGLnBB1u3y5ctQq9Vo0aKFTnmLFi2Qk5Oj9zn+/v5YunQpevfujaKiInz//fcYNGgQkpOTMXDgQABATk6OUfsEgKKiIhQVFWkf5+fnAwBKSkpQUlJSq/OzRZpztadzBnjePG/7wPPmeduD+jpfBqaoTtRqaQpIdrb0xUYR8gBkAHD4MHDxItC8uaWbSERknwoKoDj2BeR4CVmCHKJYefUKQZCmYysUFmgfmU3FVYZFUaxy5eEOHTqgQ4cO2sfBwcHIyMjARx99pA1MGbtPAFiwYAHmzp1bqTwpKQnu7u4GnUdDkpiYaOkmWATP277wvO0Lz9s+3Lx5s16Ow8AU1ZpKBURHA5mZd8rk8uaIazUDyrMfA9u3A2PHWq6BRET2bOdOyEqLEOf7HqJyv6h64YpYJj5vKHx9fSGTySqNZLp48WKlEU/V6du3L3744QftYz8/P6P3OWvWLJ0Vj/Pz8xEYGIiwsDD4+PgY3BZbV1JSgsTERISHh8PJycnSzak3PG+etz3gefO87UFubm69HIeBKaoVlUpaoa/8lxzg9vLj4iIkIB3KrVsZmCIispTbU6qVkWokDBf0/JAgBaWUNc/0Ixvh7OyM3r17IzExEaNGjdKWJyYmIjIy0uD9HDp0CP7l5ncGBwcjMTERM2bM0JZt2bIF/fr1q3IfLi4ucHFxqVTu5ORkVxf0Gjxv+8Lzti88b/tib+ddX+fKwBQZTa2WRkpVDEoBt5cfBzAdsYjcEgKZZj1yIiKqX5qh5uHhUCqByMgKU68VHCnVEM2cORMTJkxAnz59EBwcjKVLl+LcuXN49tlnAUgjmbKysvDdd98BkFbcCwoKQufOnVFcXIwffvgBa9aswZo1a7T7jI6OxsCBA/HBBx8gMjISv/zyC7Zu3Ypdu3ZZ5ByJiIioYWFgioyWkqL7q3tFIgRkoCVSMloh9L//gLvvrr/GERERkJMDHD0q3X/gAQA1LFxBDcaYMWOQm5uLd955B9nZ2ejSpQs2btyIVq1aAQCys7Nx7tw5bf3i4mK8/PLLyMrKgpubGzp37owNGzZg+PDh2jr9+vXDTz/9hLfeegtvv/022rZti1WrVuH++++v9/MjIiKihoeBKTKaocuKZ8NfmkrCwBQRUf3atg1qOCCl3VPI3tqMI6TszLRp0zBt2jS92+Lj43Uev/rqq3j11Vdr3GdUVBSioqJM0TwiIiIiHQ6WbgDZHkOXFfdH9p2pJEREVG9Uy64iCOkIO/kVxo8HwsKAoCApPyARERERkTVhYIqMplBISXOrSh0lCEBgiyIokAIkJQGlpfXbQCIiO6ZaIyIqaRoyEaBTnpUlLVrB4BQRERERWRMGpshoMhkQFyfdrxic0i4//j9HyJp4AXl5wJ9/1m8DiYjslFoNRD9fCmltCt2PeM2CFdOnS/WIiIiIiKwBA1NUK0olkJAABOj+IA+5XCpXRsm0CXc5nY+IqH6kpACZOU6o6uNdFIGMDKkeEREREZE1YGCKak2pBNLTpdl6K1ZIt2fOSOUAgPBw6XbrVks1kYjIrhi8OIWB9YiIiIiIzI2r8lGdVLv8+ODB0m1qKnDjBuDpWV/NIiKyS/7NSmHIR7uhi1gQEREREZkbR0yRSanVQHIysHIlkJzRFuqgtkBJCbBzp6WbRkTU4Clc9kGODAgo07tdEIDAQGkRCyIiIiIia8DAFJmMSiUtRx4WhjvLk1/aBxVGMc8UEVE9kG1PRByiAQhVL04RK412JSIiIiKyBgxMkUmoVNIy5JmZuuVZBU0QhQSo1oiWaRgRkT1JTIQSa5Hw7NaqF6dQ6n8qEREREZElMMcU1ZlaDURH31mKvDwRAgSImJ4xE5EZ5yELvKv+G0hEZA/y84E//gAAKF9th8j/SavvZWdLOaUUCo6UIiIiIiLrw8AU1VlKSuWRUuWJcEAGWiJlyWaELmBgiojILJKTgdJSoG1boHVryFDN4hRERERERFaCU/mozgxenjzlpHkbQkRkzzS5/CIiLNsOIiIiIiIjMDBFdWbosuP+x7fpn+9HRER1pt6yDckIwUrXJ5GcLE2zJiIiIiKydgxMUZ0pFFJS3YorQGkIgohAIQOKq78AR4/Wb+OIiOyA6stLCPp3M8KQjPEf3yutihokLUxBRERERGTNGJiiOpPJgLg46b7+5ckFxPb4FjKU3ZlqQkREJqFSAVHP+iITusvwZWVJq6UyOEVERERE1oyBKTIJpVJahrzK5ckneEgFW7bUf+OIiBoo7aqoACp+pGtmTk+fzml9RERERGS9uCofmYxSCURGVrE8+V/hUqWdO4HCQsDV1aJtJSJqCO6siqp/LrUoAhkZUj2u0EdERERE1oiBKTIpmayKLz+dO0uRquxsYPduYNCg+m4aEVGDY/CqqAbWIyIiIiKqb5zKR2alVgPJycDKnwQkd30BajhwOh8RkYkYvCqqgfWIiIiIiOobA1NkNiqVtCpUWBgwfjwQtmUWgpAO1WomOyEiMgWFApC7XISAMr3bBQEIDJTqERERERFZIwamyCxUKmk1KCn3yR1ZCEDUmYVQLc+zTMOIiBoQWdFNxKmfBwAIgqizTbNKamzs7Vx/RERERERWiIEpMjntKlFi5W3i7T+56a84cpUoIqK62rkTytLVSGj2f1Wviqq0TNOIiIiIiAzB5OdkcndWidJPhAMycj24ShQRUV3dztmnjCxD5BeC/lVRiYiIiIisGANTZHIGrxJ1XkRVS5wTEZEBEhOl2/DwqldFJSIiIiKyYgxMkckZvEpUyTkArczaFiKihkqdcR4pf/kgG+Pg7zoUCjVHSBERERGR7WGOKTI5hULKbSJUMRhKQBkCcQ6K3HX12i4iooZCpQKCunshDMkYjxUIi2yMoCCpnIiIiIjIljAwRSYnkwFxcdL9isEp6bGAWEyHbOvm+m4aEZHN0656etVdpzwrSypncIqIiIiIbAkDU2QWSqW0GpTeVaIWn4MSa4HkZKCoyCLtIyKyRXdWPa2co0+zEur06eCqp0RERERkMxiYIrNRKoH0dCApCVixQro9cwZQTm8J+PkBt24Bu3dbuplERDbjzqqn+udKiyKQkSHVIyIiIiKyBQxMkVlpVokaN066lckgzeeLiJAq3F7qnIiIambwqqcG1iMiIiIisjQGpqheqdXSDL6Vnk8jGSFQ/55o6SYREdkMg1c9NbAeEREREZGlMTBF9UalAoKCgLAwYPySAQhDMoIOr4Pqm2uWbhoRkU1QKAB5QBkElOndLghAYKBUj4iIiIjIFjAwRfVCu4pUpm55FgIQNdmLq0gRERlAJgPiJh4CgErBKc0qqLGxt6dNExERERHZAAamyOzurCJVeZsIBwAiV5EiIjKQ8sZ3SEAUAjyu6ZTL5dJqqEqlZdpFRERERFQbjsZULi0thUqlwoYNG7B3715k386u6ufnh759+2LEiBF45JFH4Oho1G6pgbuzipR+Ihy0q0iFhtZbs4iIbNOWLVDib0QufxwpzZTIzpZySikUHClFRERERLbHoAiSWq3GJ598gg8//BAXLlwAAIjlhr+cPHkSp06dwo8//ojmzZvjtddewwsvvAAZr5AJXEWKiMhkzp0D/v4bkMkgC38Aod6WbhARERERUd0YFJjq2rUr/vnnH20wShAEBAUFoVmzZgCAS5cu4ezZsxBFERcuXMBLL72EpUuX4vjx4+ZrOdkMriJFRGQiW7ZIt/ffD3h7W7QpRERERESmYFBg6u+//4azszMeeughPPbYYwgJCUGTJk106ly9ehU7duzAjz/+iPXr1+Off/4xS4PJ9igUUu6TrCz9eaYElEHuchkKRfP6bxwRkQ1R/56IFIQg2+95+Cdz+h4RERER2T6Dkp9PmzYNp06dwurVqzFy5MhKQSkAaNKkCUaOHInVq1fj1KlTmDZtmskbS7ZJJgPi4qT7mlWjNARBilTFql+ArOhmPbeMiMh2qFarEaRajDAkY7wqCmFhQFAQuKopEREREdk0gwJT//vf/xAQEGDQDq9du4aAgAB8+umndWoYNSxKpbRaVMU/I7kcSPD9PyhLfwZ27LBM44iIrJxKBUSNdkCmqDvnOSsLiIpicIqIiIiIbJdBgalNmzYZtLO8vDyEh4fXqUHUcCmVQHo6kJQErFgh3Z45I0A56vb8vt9/t2j7iIiskVoNREcD0jul7se2Znr09OlSPSIiIiIiW2NQYOqRRx7Btm3bqq1z48YNRERE4ODBgyZpGDVMMhkQGgqMGyfdymQAhgyRNm7ebMGWERFZp5QUIDMTAAS920URyMiQ6hERERER2RqDAlOFhYWIjIzEzp079W4vKCjA0KFDsX//fpM2jho+tRpIdhmClcJ4JP/jB/Xps5ZuEhGRVcnONm09IiIiIiJrYlBgysHBAbdu3cKDDz6I1NRUnW03b97EiBEjsGfPHgCAv7+/vl0QVaJSSYl7wx7yxHjxR4QhGUF9fJgrhYioHEM/VvnxS0RERES2yKDA1NKlSwFI0/WGDRumHRlVWFiIhx9+WDuSqkWLFjVO+SMCbifyjdJMT7kj66o7E/kSEZWjUABy9ysQUKZ3uyAAgYFSPSIiIiIiW2NQYOqpp57SrrKXn5+PoUOHIjU1FSNHjsT27dsBAM2aNcPWrVvRoUMH87WWGgRtIl+x8jYRDgBEJvIlIrpN5iAizuVVAIAA3TdO4XbaqdjY2zn7iIiIiIhsjEGBKQCYNm0aFi1aBAC4evUqBgwYgMTERABA06ZNkZiYiM6dO5unlbfNmzcP/fr1g7u7O7y9vSttP3z4MMaNG4fAwEC4ubnhnnvuQVxcnE6d9PR0CIJQ6d/vXBGu3txJ5KufKApM5EtEpHHsGJRXlyHBaTwCAnQDU3I5kJAgrXpKRERERGSLHI2pPGPGDBQVFeGNN96AeHu4S5MmTZCYmIhu3bqZpYHlFRcX49FHH0VwcDCWLVtWafuBAwfQrFkz/PDDDwgMDMSePXswdepUyGQyPP/88zp1t27dqhNIa9q0qdnbTxIm8iUiMsLtFUuVD1xD5AYHpKRI74/+/tL0PY6UIiIiIiJbZlBg6qmnntJ53LRpU1y5cgWCIKBt27baaX4AIAiC3qCRKcydOxcAEB8fb1A727Rpg9TUVKhUqkqBKR8fH/j5+ZmlnVQ9JvIlIjLC7cAUhgyBTAaEhlq0NUREREREJmVQYCo+Ph6CJpHFbZrHBw4cwIEDB3S2mSswVRt5eXl6R0M9/PDDKCwsRPv27TFjxgxERUVZoHX2SaGQpp9kZenPMyWgDPIAEQoFhwEQkZ27eRO4vcAIhg61bFuIiIiIiMzA4Kl8or4Igh4VA1iWlJqaip9//hkbNmzQlnl6emLx4sXo378/HBwc8Ouvv2LMmDH49ttv8fjjj1e5r6KiIhQVFWkf5+fnAwBKSkpQUlJisjZr9mXKfVqjRYsEjB0rgyBIOaU0NKtOLVKmoKysP8r0L0KlZS/9ZQrsK+Owv4zD/jKcMX1VtmUbUov64nzTLmie2Q4DWpfY3dQ9U/5t8e+TiIiIyPoYFJiaM2eO2RoQExOjnaJXlf3796NPnz5G7ffYsWOIjIzE7NmzER4eri339fXFjBkztI/79OmDq1evYuHChdUGphYsWKC3nVu2bIG7u7tRbTOEJrF8Q+XiArz6qj++/rorcnPdtOV+brn4361n0Oeva9i4Mdrg/TX0/jIl9pVx2F/GYX8Zrqa+Sk31x7dxfZGDZOAKgAjAx+cWpkw5iuBg+0vCZ4q/rZs3b5qgJURERERkShYPTD3//PMYO3ZstXWCgoKM2ufx48fxwAMP4Omnn8Zbb71VY/2+ffvi66+/rrbOrFmzMHPmTO3j/Px8BAYGIiIiAo0bNzaqfdUpKSlBYmIiwsPD4eTkZLL9WqPhw4GYGGDXrtI7iXxLDsFl+FqIx1vAf+hQwKH6hSPtqb/qin1lHPaXcdhfhjOkr9auFbBwoazSaOUrV1yxcOG9+OknNUaNMmwks60z5d+WZrRzQ7dkyRJ8+OGHyM7ORufOnREbGwuFQqG3rkqlwueff460tDQUFRWhc+fOiImJwZAhQ7R14uPj8eSTT1Z67q1bt+Dq6mq28yAiIiL7YNSqfObg6+sLX19fk+3v2LFjeOCBBzBx4kTMmzfPoOccOnQI/jVk2nZxcYGLi0ulcicnJ7N8CTPXfq2NkxMweHC5gqIQwMMDwoULcDp+HOjZ08D92Ed/mQL7yjjsL+OwvwxXVV+p1cBLL2mm0OsG50VRgCAAL7/siEcesa8V+Uzxt2UPf5urVq3C9OnTsWTJEvTv3x9ffvklhg0bhuPHj6Nly5aV6u/cuRPh4eGYP38+vL29sXz5cjz00EP4448/0LPcZ3Djxo3xzz//6DyXQSkiIiIyBaMDUxVXvqvInKvynTt3DleuXMG5c+egVquRlpYGAGjXrh08PT1x7NgxhIWFISIiAjNnzkROTg4AQCaToVmzZgCAb7/9Fk5OTujZsyccHBywfv16fPLJJ/jggw/M0mYynFoNpKS6ILtDDPwP/gbFxs2QGRiYIiJqKFJSgMxMANCfs1EUgYwMqR5X6KOKFi9ejMmTJ2PKlCkAgNjYWGzevBmff/45FixYUKl+bGyszuP58+fjl19+wfr163UCU4IgcDVjIiIiMgujA1P6VujTEEXRrIGp2bNn49tvv9U+1lwwJSUlITQ0FKtXr8alS5fw448/4scff9TWa9WqFdLT07WP33vvPZw9exYymQx33303vvnmm2rzS5H5qVRAdLTmy9jLAF6G/J2LiLsHUCot3DgionqUbWD6KEPrkf0oLi7GgQMH8Prrr+uUR0REYM+ePQbto6ysDNevX6+0ovGNGzfQqlUrqNVq9OjRA++++65O4IqIiIiotmo1lc/QFfpMLT4+HvHx8VVuj4mJQUxMTLX7mDhxIiZOnGjahlGdqFRAVJQ0CqC8rGJfREWJSEgQGJwiIrtRw8xyo+uR/bh8+TLUajVatGihU96iRQvtKPKaLFq0CAUFBRg9erS2rGPHjoiPj0fXrl2Rn5+PuLg49O/fH4cPH0b79u317qe+VjO2dva6YinPm+dtD3jePG97UF/na3RgKikpSedxaWkpTp48icWLFyM7O1tnRBNRTdRqaaSUvlinCAcIoojp04HISPvKpUJE9kuhAOTNCpF1yRkiKi8AIQiAXC7VI9Kn4sh2zYj2mqxcuRIxMTH45Zdf0Lx5c21537590bdvX+3j/v37o1evXvj000/xySef6N1XVasZJyUlmWU1Y2tnryuW8rztC8/bvvC87UN9rWhsdGAqJCSkUtmgQYPw0EMPoWXLlti6dStGjRplksZRw3cnl4p+IgTmUiEiuyKTAXH9f0bUuschoEwnOKWJLcTGMlhPlfn6+kImk1UaHXXx4sVKo6gqWrVqFSZPnozVq1djsM6qJJU5ODjg3nvvxX///VdlnapWMw4LC4OPj48BZ9Mw2OuKpTxvnrc94HnzvO1Bbm5uvRzHZKvy+fn5wc3NDSqVCp999pmpdksNHHOpEBFVpjy9CAlYh+im3yPzioe2XC6XglKc3kz6ODs7o3fv3khMTNT5kTAxMRGRkZFVPm/lypV46qmnsHLlSowYMaLG44iiiLS0NHTt2rXKOvW9mrG143nbF563feF52xd7O+/6OlejA1PfffedzmNRFHHz5k1s2rQJBQUFcHCoPO2AqCrMpUJEVMH588CRI1AKRxF5/BZSTnggO1t6H1QoOFLKWp0+fRpfffUVRFFEx44d0a1bN3Tu3FlvcMacZs6ciQkTJqBPnz4IDg7G0qVLce7cOTz77LMApJFMWVlZ2uu5lStX4oknnkBcXBz69u2rHW3l5uYGLy8vAMDcuXPRt29ftG/fHvn5+fjkk0+QlpbGHyKJiIjIJIwOTE2aNKnKPAWCIKBHjx51bRPZEYVCGgGQlaU/z5SAMsi9b0ChaFz/jSMisoTNm6Xbe++FrIUvQqufgUVW4uGHH0bPnj3Rtm1bbNiwAQsWLEB6ejratWuHY8eO1Vs7xowZg9zcXLzzzjvIzs5Gly5dsHHjRrRq1QoAkJ2djXPnzmnrf/nllygtLcVzzz2H5557Tls+ceJE7YIz165dw9SpU5GTkwMvLy/07NkTO3fuxH333Vdv50VEREQNl0lX5fP19UVsbGxd2kN2RiYD4uKkVfkEQTc4JUB6ENvyY8hkcyzUQiKi+qNWAynfnkU2xsK/YwQUao6QshVZWVn466+/dMpu3bpVr0EpjWnTpmHatGl6t1Vc3Tg5ObnG/X388cf4+OOPTdAyIiIiosqMDkzNmVM5QODq6oqgoCAMHz4cjRo1MknDyH4olUBCgrQ6X/lE6HK/UsTmjIHy7w1AwcuAh0fVOyEisnEqFRAdLSIzM0Yq+A6Qb5eC98wpZf2USiX27dunM4rIzc0Nffr0sWCriIiIiKyfSQJTRHWlVAKRkdLqe9pcKgMcIWt3EDhbDCQnAwYkZCUiskUqlTRytOKA5KwsqTwhgcEpa3fr1i1ERUVh7ty5GDZsGPz8/CzdJCIiIiKbwEzlZDVkMiA0FBg3TrqVOQrAsGHSxk2bLNk0IiKzUaulEaNSUEo3h6MmUDV9ulSPrFefPn0waNAgfPbZZ2jTpg38/PwwdOhQvPbaa5ZuGhEREZFVMygwFRkZibS0NIN3mpaWVu2yxESGUKuBZPnjWImxSFZdgbpUf24zIiJblpKiO425IlEEMjKkemS9Zs6cieXLl+PPP//EjRs3sHPnTjz99NNwc3OzdNOIiIiIrJpBU/nWr1+P3377Dffddx8ef/xxhIaGonPnzjp1/vrrL+zYsQM//vgj/vjjD7M0luyHlGsFyMzsD6A/kA3IA0sQ95kTp7MQUYOSnW3aemQ527Ztw9WrV9G+fXt07twZd999Nx555BFLN4uIiIjIqhkUmAoNDUVycjL27duHffv2SU90dETTpk0BAFeuXEFpaSmAOyv2hYWFmaO9ZAeqzLWS48hcK0TU4Pj7m7YeWcYzzzyDTZs2oW/fvli3bh1cXV3Rpk0bdO/eHd9++62lm0dERERktQyayrd9+3asXr0aPXr0gCiKEEURJSUluHDhAi5cuICSkhJteffu3bF69Wps27bN3G2nBkg314ou8XbuFeZaIaKGRKEA5HJAQJne7YIABAZK9ch6rV69Grt378bPP/8MDw8PnD59Gi1atICvr6+lm0ZERERk1Qxele+RRx7BI488gr1792LDhg3Yu3cvsm/PK/D398f999+PESNGIDg42GyNpYbPmFwroaH11iwiIrORyYC4xWpEjRYgoAxiud+MhNu50GNjpXpkvRwdHREQEAAAcHJygo+PD77++mtMmjTJsg0jIiIisnIGB6Y0+vbti759+5qjLUTMtUJEdkl5114kYBGihU+RKQZoy+VyKSjF6cvWr0+fPtizZw8GDBiANm3a4Pjx42jdurU2BQIRERER6Wd0YIrInJhrhYjs0qZNUGItIh91Rcr/rUB2tvQ+p1BwpJStWLp0Ka5fvw4AePHFF/Hoo4+idevW6NSpk4VbRkRERGTdGJgiq6LJtZKVpT/PlIAyyAMFKBRC/TeOiMhcNm4EAMgeHMZpyjZKLpdr748fPx7NmjXD4cOH8dhjj1mwVURERETWz6Dk50T1RSYD4uKk+0KF2JMmMXDsK+c5goCIGo6cHODQIen+kCGWbQsZTTNKqqLw8HC8/PLL8OcQXyIiIqJqMTBFVkepBBISgIAA3XK5y2UkIApK9WrLNIyIyMTUaiA5Ng0rMRbJd0+F2qe5pZtERurQoQMA4Omnn8ann36KHTt24OrVqxZuFREREZHt4FQ+skpKJRAZKa2+p8218uePkL2yFth4A5g+3dJNJCKqk7VrBbz0EpCZORTAUOBfQB4kjRplsnPbkZ6eDgDo2rUrDh8+jO+//x7Hjx+Ht7c3unXrhm7duuH999+3bCOJiIiIrBgDU2S1ZDLo5lrxGwa8MhPYsQMoKAA8PCzVNCKiOklN9cfChTKIogjgzrzlrCwgKkoaNcrglG1wdnYGICU81xBFESdPnsSRI0dw9OhRSzWNiIiIyCZwKh/ZDHW7Dkj2G4uVxUokxx2GWm3pFhERGU+tBr7+uuvtBR50k+lpFn2YPh18j7Mx0dHROHjwIACgrKwMp06dQp8+fRATE2PZhhERERFZOYNGTD311FMG71AQBCxbtqzWDSLSR6UCoqMFZOaslAreBOSfA4sWCXBxsWzbiIiMsWuXgNxctyq3iyKQkSFNZeYKfbbjhx9+wLx58wAAb7zxBlatWoXi4mJ89dVXGDFihIVbR0RERGS9DApMxcfHQ6i4RFo1GJgiU1KppKktmpEEGllZIsaOleHVV/0xfLhl2kZEZKzsbNPWI+vh6emJsrIyfP/99/jjjz+Qm5uLSZMmMTBFREREVA2Dc0yJFaMCVTAmgEVUE7UaiI6uHJQCAFEUIAgili3rgpgYwMmp3ptHRGQ0f3/T1iPr0KtXL6xatQqlpaVo164dAgMDERgYiNOnT1u6aURERERWzaDAVFJSkrnbQaRXSgqQmVn1dlEUcPmyO3btKsXgwfXXLiKi2howQISPzy1cyXWFiMo/5ggCIJcDCoUFGke19r///Q+PPfYYzpw5g5UrpWnn6enp8OBCHURERETVMigwFRISYu52EOnFKS9E1NDIZMCUKUex8IN7IaAMYrl1SDSDjmNjpXpkOzp06IA///xTp+zQoUMYM2aMhVpEREREZBvqtCrfpUuXcO7cuUr/iEyFU16IqCHq3+ccVjuPRwCydMrlciAhAVAqLdQwqrXyq/Kp1Wr8/vvv6NWrF2JjYy3bMCIiIiIrZ3COqfI++OADLFq0CLm5uZW2CYKA0tLSOjeMCJCmssjlQFaW/jxTAkT4+N7CgAFMMEVEtsPn2DH0K/4JI/13IeXHc8jOEeDvL73ncaSUbeKqfERERES1Y3Rgavny5Zg1axYEQTA4ITpRbclkQFyctCqfIOgGpwSUARAwefJfkMl6WqyNRETGanF7ypdsxFCEhnHRkIaCq/IRERERGc/oqXzffPMNAMDNzQ2ANEKqadOmAABvb2+0atXKhM0jkqa0JCQAAQG65XJkYnXjpxB8f5b+JxIRWRm1GtixQ8DOXYFIRgjUQ4ZbuklkIppV+VauXKldla9Hjx5clY+IiIioBkaPmPrrr78gCAK2bt2Kfv36AQAuX76MOXPmYOnSpdi0aZPJG0mkVAKRkdIqfdnZgL9vCRTKbpDl52HHqc6Wbh4RUY1UKiA6GsjMdASwBAAgjy5DnANzSjUEXJWPiIiIqHaMHjF148YNAEDPnj0h3F4+qKysDK+88gouXLiA6dOnm7SBRBoyGRAaCowbB4SGO0EWMQgA0OLAAcs2jIioBiqVNCU5M1O3PCvbAVFR0naybZpV+XJzcxEREQGAq/IRERERGcLoEVONGjVCXl4eHBwc4O7ujps3b2Lfvn3w9PQEAOzatcvkjSTSRz3sQaSocnEy2Q+ZOwSEhTFpMBFZH7VaGimlLy2jKEr586ZPl0aF8j3MdikUCnTr1g1du3ZF165d0aVLF4waNQqjRo2ydNOIiIiIrJrRI6aaN28OAMjNzUXbtm0BAA888AD69u0LAByyTvVCpQKCZj+BMCTj6ZyPER7uiKAgjjogIuuTklJ5pFR5oghkZEj1yHa99dZbCAoKwu7duzFt2jT4+vqiVatWePDBBy3dNCIiIiKrZvSIqa5du+Lff/9FWloaIiMjceTIERQVFUEURQiCgOHDmciVzEszJUYUdYcWZGVJ5QkJzNdCRNYjO9u09cg6DRkyBEOGDNE+vnDhAl544QV07sw8iERERETVMXrE1Ny5c7F27Vp06NABr732GkaMGKENSg0ZMgQfffSROdpJBKDmKTGANCVGra7XZhERVcnf37T1yDa0aNEC33//Pf744w9LN4WIiIjIqhk9YqpTp07o1KmT9vH69euRl5cHR0dHTuMjszNmSkxoaL01i4ioSgoFIJcDWVkiRFGotF0QpO0KhQUaRyYzf/58dO3aFd26dUOrVq0AAC4uLkhPT7dsw4iIiIisnNGBKX28vLxMsRuiGnFKDBHZGpkMiIsDoh4BBJRBLDdY+fbitoiNZeJzW3fp0iXExsbiyJEjKCkpQadOnVBQUKANUhERERGRfgYFph544AEIgoBt27bhgQceqLauph6ROXBKDBHZIqUSSBj9M6J/7odMBGrL5XIpKMW8eLbv448/1t4/f/48jh07BkEQEBISYsFWEREREVk/gwJTycnJcHBw0N4XhMpTEQBoc00RmcudKTH680xxSgwRWSvl6Y8QiYNIfukXbBT9MGxYD4SFOXKkVAOybds2XL16Fe3bt0dYWBgcHU0yMJ2IiIioQTM4+blYLgogiqLef0TmppkSA9yZAqMhoAyAyCkxRGR9srOBP/+EDGUYGN0dAwdmISRE5HtVA/LMM8/gySefxM8//4x7770XTZs2RY8ePTBx4kRLN42IiIjIqhn0U96ZM2f03ieyBKUSSEiQVucrnwhdjkzEPpEGpfJhyzWOiKgCtRpI+fgQsjEW/nc3Rt9mfpZuEpnB6tWrcfjwYQQGBqJJkyb477//8Nhjj8HX19fSTSMiIiKyagYFpson7tRM1WvZsqV5WkRkAKUSiIwEkpJKsWlTGobfOo3Qz8dBdi4EAANTRGQdVCpNEH04gOHAv0BAOxGPP+6P4cMt3ToyJUdHRwQEBAAAnJyc4OPjg6+//hqTJk2ybMOIiIiIrJzBU/k0goKC0KZNG73bWrdujbZt29a5UUSGkMmAkBARAwdmYeCL3SBDGZCSAuTlWbppRERQqYCoKCAzU3eq+/nzwAcf3Iu1a5mTsSHp06cP9uzZAwBo06YNjh8/Dh8fH+zbt8/CLSMiIiKybrXKyllVPqmzZ88y+TlZhDqoLXYHTkB2Rgn8Pz4ExduhzN1CRBajVksjpaSPS93PRVEUAIh46SUZHnmEOfEaiqVLl+L69esAgBdffBGPPvooWrdujU6dOlm4ZURERETWzaDAVH5+Pq5du6ZTlpGRoROgOnz4MABoV+8jqi+pqf547jlHZGV9JxXMBeTLpCTpXIKdiCwhJUU3B15lAjIzpXqhofXUKDIruVyuvT9+/Hj4+vriyJEjeOyxxyzYKiIiIiLrZ1Bg6uOPP8Y777yjfSyKIoKCgvTW9ff3N0nDiAyxdq2ADz64t1J5VpaIqCgBCQkMThFR/cvONm09sl6ZmZk4evQohg0bBgAoLi6Gs7MzIiIiEBERYeHWEREREVk/g4c3iaKoM0JK87j8PwAYOXKkyRtJpI9aDcycqZkDo2+qDDB9ulSPiKg+GfobDX/LsX3z58/HkSNHtI99fX3RuXNnjBs3Du+//752eh8RERER6WfQiKmgoCCEhIQAAHbs2AFBEDBw4EDtdkEQ4OPjg379+mHatGnmaSlRBSkpQFZW1TnNRBHIyOBUGSKqfwoFIJcDWZkiROh7nxIhlwMKBfMy2rrExETs3btX+9jBwQGLFi3CkSNHsG7dOri5uSE6OtqCLSQiIiKybgYFpiZOnIiJEycCuJNDKikpyXytIjIAp8oQkbWSyaQ8d1GPAALKIJYboCwIIkQRWLRIDZmsVmuQkBXJzc2Fj4+P9rGrqyuGDh2KoUOHYtiwYXjmmWcYmCIiIiKqhtGZypOSkrB9+3ZztIXIKJwqQ0TWTKm4hAREIQBZOuUBAcBrr+3HqFH6V7gl2+Lv749z585pH2dl3Xm9u3TpgjNnzliiWUREREQ2w+ifajVT+i5evIj09HQUFhZWqlN+mh+RuSgUQECACOk7QOXpMAJEyAMFKBT13jQiImDjRiihQmT3dKTEHkB2thQo79u3FJs3ZwPoaekWkgkMHToUb7/9Nr799lsAgEwm024rKChASUmJpZpGREREZBOMDkxdunQJTzzxBLZs2aJ3uyAIKC0trXPDiGoikwGLF6sxZozs9tSYO8EpAWUABMTGSvWIiOrd+vUAANnDI3Ty3DFO0bDExMRAoVDg4Ycfxrx589C1a1fttvfffx/33lt55VgiIiIiusPoqXwvvPACNm/erHdVvoor9xGZ26hRIl57bT/uuku3XI5MJDiMhnJQnmUaRkR2S60GkrcUY+VvjZCMEKiHPWjpJpEZNWrUCMnJyfDx8UGvXr3QoUMHhIaGonXr1oiPj8fixYst3UQiIiIiq2b0iKnt27dDEAQ0a9YMCoUCHh4eEASuKkSWExycjZiYUuzd66SdKqN4Zihk/54ANj8KjB5t6SYSkZ1QqYDoaCAz0xnAcgCAfLSIuDhAqbRs28h8vL29sXz5cnzwwQfYvn07Lly4ALlcjoiICDRq1MjSzSMiIiKyakYHpoqLiwEAKSkpaN++vckbVJ158+Zhw4YNSEtLg7OzM65du1apjr4g2eeff45nn31W+/jo0aN4/vnnsW/fPjRt2hTPPPMM3n77bQbYbJhMBp2pMnh4BPDRCWkqDQNTRFQPVCogKgqoOHA4K0tAVBSQkMDglK0bMGAA+vTpg169eqF379645557tKsVA0Dz5s0xduxYC7aQiIiIyPYYHZgKCwvDr7/+Ck9PT3O0p1rFxcV49NFHERwcjGXLllVZb/ny5Rg6dKj2sZeXl/Z+fn4+wsPDERYWhv379+Pff//FpEmT4OHhgZdeesms7af6ox72IFI+2o/sta7w36aGIlTGXFNEZDZqtTRSSt9sdlEEBAGYPh2IjKz3ppEJnT9/Hp988gkA6YcwV1dXdO/eHb1798Z9992HiIgItGjRwsKtJCIiIktSq4GUFNyZzaMwfd7j+jrGrl31M3jH6MDUwoULsXPnTkyYMAFxcXHo2LGjzgo05jR37lwAQHx8fLX1vL294efnp3fbjz/+iMLCQsTHx8PFxQVdunTBv//+i8WLF2PmzJkcNdUASFNpBiITyUABgMGAXA5OpSEis0lJATIzq94uikBGhlSvf//6axeZ1unTp3Ht2jX8+eefOHDggPb2s88+w2effQZHR0eMGzcOH3/8MZo2bWrp5lqlXbsEPPig7V6g2/ox6uscduwQsHNnADw8BISF2V4/1ccxGsI5aI5h6693Q3otbP31bgj9dCetw50yU38Xrd9jGB0yqhWjj9KxY0cAQFJSErp161ZpuzWsyvf8889jypQpaN26NSZPnoypU6dqh9qnpqYiJCQELi4u2vpDhgzBrFmzkJ6ejtatW+vdZ1FREYqKirSP8/PzAQAlJSUmXQpasy8uL22Yiv21dq2AsWNleqbSiIiKAn76SY1Ro+wzQT//tozD/jKOvfdXRoYAQz5SMzJK7b6vjGXK/jLFPry9vTF48GAMHjxYW3b16lXs3bsXa9euxXfffYcDBw7gjz/+gIeHR52PVxtLlizBhx9+iOzsbHTu3BmxsbFQKBRV1t+xYwdmzpyJY8eO4a677sKrr76qkwIBANasWYO3334bp06dQtu2bTFv3jyMGjXK6LaNHOlo4xfotnuM+v8i0weLF9teP9XHMRrCOegew3Zf74b3WtTHMczzejeEfqo6rQNMltbBkscwJ0E0chk9BwcH7agifU8VBAFqtdo0ratCfHw8pk+frjfH1HvvvYdBgwbBzc0N27Ztw+zZszFr1iy89dZbAICIiAgEBQVh6dKl2uecP38eAQEB2LNnD4KDg/UeMyYmRjtiq7wVK1bA3d3dNCdGdaJWA1OnRiA31xWAvpFvInx9b+HLLxM5rY+ITOroUR+8/faAGuu9++4udO2aWw8tIn1u3ryJ8ePHIy8vD40bNzbLMQ4dOoT+/fvj9ddfx+zZs81yjOqsWrUKEyZMwJIlS9C/f398+eWX+Prrr3H8+HG0bNmyUv0zZ86gS5cuePrpp/HMM89g9+7dmDZtGlauXIlHHnkEgPSjnkKhwLvvvotRo0Zh7dq1mD17Nnbt2oX777/foHbl5+ffTq2QB0GQ+t6cF8+aAfCWPkZJSQk2btyI4cOHw8nJySzHMIS191NDOYYhr7e1n4M9HaOu++frbT2vRX0co6bXW60GgoKqHkEvCFIQ7MyZ2o/Qsswx8gF4mfXaCahFYCooKKjG6W5nzpwxeH9VBXzK279/P/r06aN9XF1gqqJFixbhnXfeQV5eHgApMNW6dWt8+eWX2jpZWVmQy+VITU1F37599e5H34ipwMBAXL582aQvUElJCRITExEeHl7tBQxJyvfXnj3OCA+vecRCYmIpQkLsb9QU/7aMw/4yjr33l1oNtGvniPPnAVGs/BkpCCICAoD//itFWZl995WxTPm3lZ+fD19fX7NfXM2cORPbtm3D4cOHzXaMqtx///3o1asXPv/8c23ZPffcg5EjR2LBggWV6r/22mv49ddfceLECW3Zs88+i8OHDyM1NRUAMGbMGOTn52PTpk3aOkOHDkWTJk2wcuVKg9pVPjAFNLbhC3TjjmHIF1dzn4ct9FNDOYb9fnG1vWOYYv98vU1zDFs5h5pe7+RkICys5rYkJVVYtMsIljlG/QSmjJ7Kl56ebtIGPP/88zWuYBMUFFTr/fft2xf5+fm4cOECWrRoAT8/P+Tk5OjUuXjxIgBUm7DUxcVFZ/qfhpOTk1m+WJhrvw2Vk5MTLl0y7M/50iVH2HPX8m/LOOwv49hrfzk5AZ98AkQ9IkJAGUTcWalN+i1HQFwc4OrqBM1sMnvtq9oyRX/VV3/fe++9Oj+A1Zfi4mIcOHAAr7/+uk55REQE9uzZo/c5qampiIiI0CkbMmQIli1bhpKSEjg5OSE1NRUzZsyoVCc2NrbKtlSVAkFDk3ctKan2Pxbt2CFUm/vCGo5hyFRUc5+HLfRTQzlGTa+3LZyDvRzDFPvn622aY9jKOdT0ehuX1qF252FNxzC1+j9iBb6+vvD19TXb/g8dOgRXV1d4e3sDAIKDg/HGG2+guLgYzs7OAIAtW7bgrrvuqlMAjCzP39+09YiIjKFUAgm9FyD6wARkIlBbLpcDsbFcfKEhOHv2LFq1alVjvfLXGPXp8uXLUKvVlX5oa9GiRaUf5TRycnL01i8tLcXly5fh7+9fZZ2q9gkACxYsqHFEPABs2pSGgoKsGuvps3NnAIA+NdazhmMkJiaa/RiW2j+PUVlVr7ctnUNDP4Yp98/Xu27HsLVzqOr1PnvWB0DNaR3Ont2LjRtrl9bBmo5harUKTOXl5WH+/Pn4/fffkZubi8zMTCxYsAAlJSWYOHGiQRdttXHu3DlcuXIF586dg1qtRlpaGgCgXbt28PT0xPr165GTk4Pg4GC4ubkhKSkJb775JqZOnaod7TR+/HjMnTsXkyZNwhtvvIH//vsP8+fPx+zZs7kin41TKKQvgFlZ+hO1CYIIuVxANflfiYhqr6AAymPvIhJvI2XZf8h2a2O2FWXIMlq3bo2mTZuid+/e6NOnj/a2fO4mtVqN77//Hh06dLBYOytez4iiWO01jr76FcuN3eesWbMwc+ZM7WNNCoSKhg3rgZCQ7lXupzoeHgIWL665niWPYchUVHOfhy30U0M5Rk2vty2cg70cwxT75+ttmmPYyjnU9HoPGQJ88YVYY1qHl1++v9bXhdZwDLMRjZSfny927txZdHBwEAVBEB0cHERRFMVHH31UdHBwEBcsWGDsLg02ceJEEUClf0lJSaIoiuKmTZvEHj16iJ6enqK7u7vYpUsXMTY2ViwpKdHZz5EjR0SFQiG6uLiIfn5+YkxMjFhWVmZUW/Ly8kQAYl5enqlOTxRFUSwuLhbXrVsnFhcXm3S/DVXF/lqzRhQFQfonhaekfwLUooAycc0aCzfYgvi3ZRz2l3HYX6Iorl0rveEEBYliNZ8p7CvjmLK/6vrZPWvWLHHo0KFi8+bNtddADg4Ooq+vrzho0CBx9OjRYvv27UUHBwfxxx9/rHN7jVVUVCTKZDJRpVLplL/44oviwIED9T5HoVCIL774ok6ZSqUSHR0dtX0eGBgoLl68WKfO4sWLxZYtWxrcNk3fA3nS57IgioGBolhaavAuKiktFUW5vPJnvvaz3wqOYcjfr7nPwxb6qaEco6bX2xbOwV6OYYr98/W2nteiPo5hyPt5ld9Fb5eZ4rto/R/DPHGPihyqjFhVYf78+Th+/Lj21zSNSZMmQRRFbN68ua6xsirFx8dDFMVK/0JvZ/YaOnQoDh06hOvXr6OgoABHjx5FdHQ0HB11B4Z17doVO3fuRGFhIbKzszFnzhyOlmoglEppRYWAAN1yOTKRcN9CTqUhIvP59VfpNjLyzhIv1KDMnz8fmzZtwoULF3D27FmsWbMGb775Ju677z4cP34cq1evxrVr1/Duu+9i/Pjx9d4+Z2dn9O7du9I0g8TERPTr10/vc4KDgyvV37JlC/r06aP9RbiqOlXtsyaa/x6xsXUbTSiTSUt8l98nj1H/++cxrGf/PIb17J/HsJ7919cxgGq+i8pNs7KgpY9hVsZGsjp06CA6ODiICxcu1BkxlZubKwqCYNSvZ7aMI6asQ1X9VVoqiklJorhihSgmffmPWAoHUXR3F8WbNy3TUCvAvy3jsL+MY8/9VVoqiklbS8UVjaaKSQgRS7dsq7a+PfdVbVjTiKmaqNVqs+zXGD/99JPo5OQkLlu2TDx+/Lg4ffp00cPDQ0xPTxdFURRff/11ccKECdr6p0+fFt3d3cUZM2aIx48fF5ctWyY6OTmJCQkJ2jq7d+8WZTKZ+P7774snTpwQ33//fdHR0VHcu3evwe0qP2IqMNA0v+hqrFkj/RJe/pdjazmGMX+/5j4Pa+6nhnIMQ19vaz4HeztGXfbP19t6Xov6OIYx7+c630WT6jbay9LHWLcut15GTAmiWGHoUw1cXV1RUlKCGzduwMPDA4IgQK1Wo7i4GK6urnBxccGtW7fMEUOzKpplj029bKIhywrTHQb1lygCLVtK64P+9hswYkT9NtJK8G/LOOwv49hrf6lUQHS07vLD8gARcZ8IVf5iZa99VVum7C9zfXZbmyVLlmDhwoXIzs5Gly5d8PHHH2PgwIEApBHu6enpSE5O1tbfsWMHZsyYgWPHjuGuu+7Ca6+9hmeffVZnnwkJCXjrrbdw+vRptG3bFvPmzYPSiJ9lNX2/bl0uHnywqcnzrqnVQEoKkJ0Ns+V2q80xjP37Nfd51Fc/JSWVYtOmNAwb1gNhYY5W8VrUxzGMeb2t9Rxqcwxbf71ru3++3qZ/va25n+z1+i03Nxe+vr5mv3YyOvm5s7MzSkpKdJYABoC//voLgBS4IrIqggD1g5FI+eIvZC/Ohr8HkxETUd2pVEBUlBT7Li/rvICoKNMNpyYy1rRp0zBt2jS92+Lj4yuVhYSE4ODBg9XuMyoqClFRUXVu24ABolk+f2Uy4HZmB7NpCMeor3MICRFRUJCFkJDufL0ttP/6PIatv94N6bWw9de7ofQTGc/oHFP33HMPAOCjjz7Slu3btw9Tp04FAHTu3NlETSMyDZUKCEr4CGFIxvjtUxAWBgQFSeVERLWhVksjpfSNOdaUTZ8u1SMiIiIioqoZHZgaN24cRFHEggULtAnDg4ODcejQIQiCYJFkn0RV0YxoyLzsolOelSWVMzhFRLWRkqI7fa8iUQQyMqR6RERERERUNaMDU88//zwGDhyoXREPgM7qeBVzEhBZiu6IBt3lFziigYjqIjvbtPWIiIiIiOyV0YEpR0dHbNmyBR9++CH69++Ptm3bon///vjoo4+wadMmODj8f3t3Ht5UmfZx/JeGtixCpRRoaQsFRVFxlEVZpNIKIgqChKKIMuAguKEt4jvq6AzFUXEBgcFxQwZQUBwxzLhLVcA6gCKiCCgurC2t7AVZSg3n/eOQ0LRpSUraJM33c11cJOc8Se/nyTnNOXefxee3BKoFPRoAVJeEBP+WQ2hbu3at9u/fH+gwAAAAQpLPk59L5gTo48eP1/jx4/0dD+A39GgAUF1SU6WkJCk/35BhWMrtt1jM/ampAQgONa5Dhw6aOXOm/vSnPwU6FAAAgJDjc/emiIgI1anjOZ91xRVXqFevXqcdFOAP9GgAUF2sVmn6dEmGZNFxt30npl/UtGms/hkuDE+z4AMAAMArVRp3V9EF2NKlS7V06dLTiQfwG2ePBkv5zgySzO3JyfRoAFA1Npu0sOPjSlS+2/akJGnhQnM/AAAAgMr5bUKotWvXSpJrpT4g0Fw9GlQ+OWX2cDDo0QCg6g4elG3dI9qiFC2ZvUWvvSYtWSJt3kxSCgAAAPCWV4mpiRMnymq1ynriDt4wDNdz578OHTpIkpo1a1Z90QI+stnMnguJie7bk5Snhbd9zM0jAJ85HNLSpdLrD6/X0mPdpLPbKm1EK914o5SWRrIbAAAA8IXXk5+XHb5X0XC+3r17n15EgJ/ZbNLAgebqewUFUsIn85Q6a4Ss2/pKujLQ4QEIIXa7lJnpXPGzq6SlSircr+mLLCS6AQAAgCrwKjF15plnqlWrVpKkrVu3ymKxqGXLlq79FotFTZo0Uffu3ZWdnV0tgQKnw2o1ezJIki7qKMcsaeniYyr41xEltKmn1FR6OQConN0uZWRIZf8uk/9bjDIymFcKAAAAqAqvElOZmZnKzMyUZK7KJ0mbN2+uvqiAamT//jxlWvOU93uCNMrclpRkzkfFTSUATxwOs6eUp87ChiyySMrKMntnkuQGAAAAvOf1UD6n2bNnV0ccQI2w26WMIRYZRrzb9vx80eMBQIVyc53D9zwzDGn7drOcq3cmAAAAgFPyOTE1YsQISdLq1av19ttv69dff1Xz5s117bXXqnPnzn4PEPAX9x4P7sv0GYa5ch89HgB4UlDg33IAAAAATD4npiTp/vvv1+TJk922Pfrooxo3bly57UCwoMcDgKpKSPBvOdQuS5Ys0bnnnhvoMAAAAEJShK8vsNvtevrppyWZK/OV/jd16lQtXLjQ70EC/kCPBwBVlZpqzkVnsXjeb7FIyclmOYSfnj17Kj4+/tQFAQAAUI7PiannnntOktSwYUNlZmZq6tSpyszMVExMjAzD0PPPP+/3IAF/oMcDgKqyWs0FEsypzo+77XMmq6ZNYxgwAAAA4Cufh/KtWbNGFotF//3vf9WzZ0/X9uuuu07p6elas2aNXwME/MXZ4yE/3/PKWhaLuZ8eDwA8sdmkhVPzlJkl5SnZtT0pyUxKsXACAAAA4Dufe0z99ttvklRuonPn80OHDvkhLMD/TvZ4KD8cxyIzU0WPBwCVsR2cqy1K0ZIuD+i116QlS6TNm0lKAQAAAFXlc2KqadOmkqR58+a5bXc+j4uL80NYQPWw2aSFC6XERPftSdYCLXzT4OYSQOUWLZJVx5U2uq1uvNFcKIFkNgAAAFB1PiemevToIcMwdOedd6pz584aPHiwOnfurDvvvFMWi0WpjINCkLPZpC1bzJ4Or/3rqJZE9tFmR7JsZ68NdGgAgpDDIS1dKr3+j11a+nVDOSx1pAEDAh0WgswPP/ygjIwM/eEPf9AVV1yhp59+WgcPHgx0WAAAAEHP58TU/fffr8jISEnmfFP/+c9/tGbNGhmGoTp16ujPf/6z34ME/M1qNXs63HhLXaVdU19WHZcWLQp0WACCjN0upaRI6enSsMymStdSpUTmy57bNNChIchcf/31OvPMMzV9+nTddtttWr16tS666CL98ssvgQ4NAAAgqPmcmOrQoYMWLFigJk2ayDAM178mTZro9ddfV8eOHasjTqD6DBokhyK09JVtev11s2eEwxHooAAEmt0uZWRIeXnu2/OPNVVGhrkfcMrPz9eLL76o9PR03XDDDVqwYIEeeughjRkzJtChAQAABDWfE1OSNGjQIG3btk05OTmaN2+ecnJytG3bNtmYoAchyC6bUrRF6Zv/pWHDzJ4RKSncdALhzOGQMjM9r+BpyFw9ISuLJDZO6tKli5YsWeK2bcSIEfrqq68CFBEAAEBoqONL4eLiYq1fv16S1L59e/Xq1ataggJqit0uZdzSUIbOcNuen2/2lFi4kNW2gHCUm1u+p1RphiFt326WS0ursbAQxEpKSjRkyBD99a9/lc1mU7NmzbRgwQJ16dIl0KEBAAAENa97TL300ktq1qyZLrnkEl1yySVq1qyZXnzxxeqMDahW7j0iLG77nL0k6BEBhKeCAv+WQ+03ZMgQDR8+XO+++666dOmiM844Q7fffrvatGmjmTNnKjc3V7t27Qp0mAAAAEHHqx5TOTk5uv3222WxWGQYhiwWiw4cOKA777xTrVu3Vp8+fao7TsDv6BEBoCIJCf4th9qv7FxSO3fu1Lp167Ru3TqtWrVKs2fP1vfff699+/YFKEIAAIDg5FViatq0aZIk40Q3ktL/T58+ncQUQhI9IgBUJDVVSkoyh/V6mmfKYjH3p6bWfGwIXp988on27duntm3b6oILLtAVV1yhK664ItBhAQAABDWvhvKtWrVKFotFo0eP1u7du7Vr1y6NGjXKtQ8IRfSIAFARq1WaPt18bNFxt32WEyN/p00zywGSdNttt+mWW27Rv//9b11yySWKjY3VxRdfrBEjRgQ6NAAAgKDmVWJq7969kqSnn35asbGxatKkiSZPnixJdElHyHL2iLBYPO+3WKTkZHpEAOHKZpMWvnpEidrhtj0piYURUN6bb76p//3vf/r3v/+tBg0aaNOmTWrevLni4uICHRoAAEBQ8yoxdfy4+dfiRo0aubbFxMS47QNCjVuPiDLJKYvMsTv0iADCmy3yHW1RKy1pcZNem29oyRJp82aSUiivTp06SkxMlCRFRkaqSZMmevnll/XNN98ENjAAAIAg59UcU06vvPKKV9v/+Mc/Vj0ioAbZbGbPh8xM94nQk6J3adprzbj5BMLdW2/JquNKuzlJGlZB90pAUufOnbV8+XL16NFDbdq00YYNG9S6dWt9+eWXgQ4NAAAgqPmUmLrlllvcnltOdDMpvd1isZCYQkix2aSBA83V9wrWFCjh3huV+vsKWdMKJMUGOjwAAeBwSLkfF6vgv/WVoJ5KHZQhOk+iMi+99JIOHjwoSbrnnns0ZMgQtW7dWueff36AIwMAAAhuPiWmDE9LEwG1gNUqpaVJSkuQ41/7lbuumwr+8p0ShvZUairD+YBwYrc7e1FGS5otSUoaYmj6dIbwwTOHw6G1a9fqqquukiQNGzZMTZs21bfffqubbropwNEBAAAEN68SU5dffrmrdxRQm9ntUua2ZcpTjPSipBfNiY65IQXCg90uZWRIZf8Ok59vUUYGk57DM6vVqhtvvFFFRUWubVdeeaWuvPLKAEYFAAAQGrxKTC1durSawwAC7+QNaSO37fn54oYUCAMOh9lTylPnYMMwF0nIyjKH/tKLEmX1799fubm5SmUpVwAAAJ94tSofUNu535C69w503qRmZZnlANROubnuiyCUZRjS9u1mOaCs4uJiDR48WP/85z9VUFAQ6HAAAABCBokpQNyQApC8zSWQc4Anl19+uQYMGKC5c+eqbdu2atGiha6++mrdf//9gQ4NAAAgqPk0+TlQW3FDCiAhwb/lEF5effVVrVq1SpK5WMzPP/+stWvXat26dQGODAAAILjRYwoQN6QApNRUc7EDizyvQGuxSMnJZjnAaefOnZKkjRs3urZZLBa1bdtWgwcP1gcffBCo0AAAAEICiSlApW5IK1h8khtSoPazWs0VOCXJouNu+5y/G6ZNY+JzuGvbtq2aN2+uo0ePauzYsZo5c6a+/PJLHTlyRPv379f3338f6BABAACCGokpQGVuSMskp8wbVIMbUiAM2K4t0cIzRipR+W7bk5JYmROeFRUVaeXKlbJarWrVqpU+++wz3XrrrWrcuLHi4+M1ePDgQIcIAAAQ1Ko8x5RhGNqwYYN27typZs2a6fzzz5elou4mQAiw2cwbz8xM94nQk5SnaeO2yWbrEbjgANSMTz+V7bdXNDDuI+UuyFfBTqsSEszekiSmUZHWrVvr66+/1nnnnefaVlJSooMHDyo2NjaAkQEAAAS/KiWm3nzzTY0fP175+Sf/opyYmKgpU6ZoyJAhfgsOqGk2mzRwoLn6XkGBlPDOS0p9/Q5Ztw6SRGIKqK0cjhPn/RNblaCeSh10ntJ6kYmCux49eqhz587q2LGjOnXqpPPOO08REWbn89JJKUmKjIwkKQUAAOAFnxNTdrtdQ4cOlWT2mnLKy8vT0KFDVadOHQ0aNMh/EQI1zGqV0tJOPDmnkxyvS0vfOaiC2UeV0LouPSeAWsZuL91TcoykMUpadFTT+zJ0D+527Nihf/zjH5LMCc7r1q2riy66SJ06ddKll16qPn36qHnz5gGOEgAAILT4PMfUxIkTZRiGDMNQYmKiunbtqsTERElmoio7O9vfMQIBY9/SUSnWPKUf+0jD/lRX6elSSop5Iwsg9NntUkaG+/BdScrfE62MDM51uNu0aZP27t2rxYsX6/HHH9c111yjwsJC/fOf/9SIESOUnJysESNGaO/evYEOFQAAIGT4nJjauHGjLBaLHnvsMW3fvl3Lly/X9u3b9fe//12S9OOPP/o9SCAQ7HYpY4hFeY54t+35+eKGFagFHA6zp1Spzr8uhmHOmZiVZZYDnM4880z17t1b999/v958801t2rRJe/bs0XvvvaeRI0fqjTfe0OWXX65Dhw4FOlQAAICQ4HNiqlmzZpKku+++2217ZmamJCk+Pr7ca4BQ437D6j6pv/MmlhtWILTl5pbvKVWaYUjbt5vlgMo0btxYV199tV566SWtWLFCmzZt0pQpUwIdFgAAQEjwOTE1cuRISdJ3333ntt35fPTo0acfFRBg3LACtV9BgX/LAZLUoUMH3X777XrrrbcCHQoAAEBI8Hny85YtWyouLk4DBw7UmDFj1KpVK23dulUvv/yykpKSlJCQoFdeecVV/o9//KNfAwZqAjesQO2XkODfcoDTJZdcohdffDHQYQAAAIQEnxNTY8aMkcVikWEYmjRpUrn9t956q+uxxWIhMYWQxA0rUPulpkpJSVJ+vuGaU6o0i8Xcn5oagOAQlLZu3apWrVqdstyxY8cUFRVVAxEBAACEPp8TU5K5+l7p/4Ha5uQNq+eJkblhBUKf1SpNny5lDJYsOi6j1Oh2y4k81bRpZjlAklq3bq3Y2Fh16tRJnTt3dv3fsmVLVxmHw6FXX31V5557bgAjBQAACB0+J6YmTJhQHXF45bHHHtN7772nb775RlFRUdq/f7/b/jlz5uiWW27x+Npff/1VzZo105YtW9S6dety+z/44AP17du3OsJGCHLdsGaYN6ilk1MWHZcUwQ0rUAvYbNLCnjOUuWyQ8pTs2p6UZCalbLbAxYbg88ADD2jNmjX6+uuvlZOTI8uJDGZsbKwuuugiNWnSRGvWrNEvv/yiV199tcbj27dvn+655x69/fbbkqQBAwZoxowZOvPMMz2WLykp0cMPP6z3339fmzZtUkxMjHr37q0nnnhCLVq0cJVLS0vTsmXL3F57ww03aMGCBdVWFwAAED5CKjF17NgxDRkyRN26ddOsWbPK7b/hhhvKJZdGjhypo0ePulYTdPr44491wQUXuJ7HxsZWT9AIWTabtHChuTpf6YnQk5SvaXNjZbM1CFxwAPzj6FHZ1vxVAzVOuf/4RgVxFyohwewNSeIZZT3++OOux9u3b9fq1av19ddfa/Xq1VqzZo0KCwsVFxenv//97xo2bFiNxzds2DDl5eXpww8/lGROvzB8+HC98847HssfPnxYX3/9tf7617/qoosu0r59+5SVlaUBAwboq6++cis7evRoPfLII67n9erVq76KAACAsFKloXyBMnHiRElmzyhP6tWr53ahtGvXLn366acek1hNmjRRfHx8tcSJ2sNmkwYONFffKyiQEh4cqdStr8rqmCVpZKDDA1BFDseJ8/qddUo40EGpLTYp7a4LqrBWLcJVcnKykpOTdd1117m2HT9+XBERgTmIvv/+e3344YdauXKlunTpIkmaOXOmunXrpo0bN3ocWhgTE6OcnBy3bTNmzNCll16qbdu2uQ1RrF+/PtdNAACgWlQpMfW///1P06ZN04YNG3TkyBG3fRaLRb/88otfgjtdr7zyiurXr6+MjIxy+wYMGKCjR4+qbdu2GjdunMcygGT2mkhLO/HkpzZyTJCWPrdBBdGiZwUQguz20j0hO0taqqQD+zX9PxEM3cNpCVRSSpJWrFihmJgYV1JKkrp27aqYmBgtX77c6zmvioqKZLFYyg3/mz9/vubNm6fmzZvr6quv1oQJE9SwYcMK36e4uFjFxcWu5wcOHJBkDh8sKSnxoWahzVnXcKqzRL2pd3ig3tQ7HNRUfX1OTOXm5qpXr15yOByuyc+dq/Q5HweLf/3rXxo2bJhbL6ozzjhDzzzzjC677DJFRETo7bff1g033KC5c+fq5ptvrvC9auoCK1wP+Kqq6fZa1GikxusW5a1Klk6M0khMNPTMMw4NGhTciwFwbPmG9vJNqLTXokUWDR1qPTFv3Mnvq/zfYpSRYWjBguo/l0OlrYKFP9urNrd5YWFhuWkLJKlZs2YqLCz06j2OHj2qBx54QMOGDVOjRo1c22+66Sa1bt1a8fHxWrdunR588EF9++235XpblTZp0iRXT/fSlixZovr163sVT21SWVvVZtQ7vFDv8EK9w8Phw4dr5OdYDB+X1hs4cKDbXAWlk1LO5w6Hw+v3y87O9njhUtqqVavUuXNn1/M5c+YoKyur3OTnpa1YsULdu3fXV199pU6dOlX6/nfffbeWLVumtWvX+hzna6+9FpYXWOFoxYoEPfnkJZIMuY/3MY//++9fpW7dCgIRGgAvOBzSmDF9tGdPXZVOSp1kKC7uiF58MYdekLXU4cOHNWzYMBUVFbklXoKZt9dJixcv1ty5c7Vx40a3fW3bttWoUaP0wAMPVPoeJSUlGjJkiLZt26alS5dW2j6rV69W586dtXr1anXs2NFjGU9/0EtOTlZBQYGaNGlSaSy1SUlJiXJycnTllVcqMjIy0OHUGOpNvcMB9abe4WDPnj1KSEio9msnn3tMffnll7JYLHruued0xx13SJLWrl2rBx98UD///LPeeOMNn95v7NixGjp0aKVlUlJSfA1TL7/8si6++OJTJqUks6v7yy+/XGmZBx98UPfee6/rufMCq0+fPn79gML1gK+qmmovh0O66y7n6VJ2qIZFFouh+fMvUXb270F7Q8ux5Rvayzeh0F7Lllm0Z09lX3sW7d5dX40a9VPPntXXayoU2iqY+LO9nL2dQ4m310lr167Vr7/+Wm7frl271Lx580pfX1JSouuvv16bN2/Wp59+esrrmo4dOyoyMlI//fRThYmp6OhoRUdHl9seGRkZlsc99Q4v1Du8UO/wEm71rqm6+pyY2rNnjyRz5RdnYqp9+/Z66aWXlJiYqH/+85968cUXvX6/uLg4xcXF+RpGpX777Tf9+9//1qRJk7wqv2bNGiUkJFRapqYvsMLtgD9d1d1e//uflJ9f8X7DsCgvT1q5MvLkfFRBimPLN7SXb4K5vXbt8rZcHdVEFYK5rYKRP9orFNvb2+ukbt26qaioSF9++aUuvfRSSdIXX3yhoqIide/evcLXOZNSP/30k5YsWeJVb6b169erpKTklNdOAAAA3vB5ls66detKMldncSZqtm3bpjp1zBzXokWL/Bieu23btumbb77Rtm3b5HA49M033+ibb77Rb7/95lbujTfe0O+//66bbrqp3HvMnTtXr732mr7//ntt3LhRkydP1j/+8Q/dfffd1RY3Ql+BlyP0vC0HoOZ5ew/NvTZC0Xnnnae+fftq9OjRWrlypVauXKnRo0erf//+bhOft2vXznWt9vvvvysjI0NfffWV5s+fL4fDocLCQhUWFurYsWOSpF9++UWPPPKIvvrqK23ZskXvv/++hgwZog4dOuiyyy4LSF0BAEDt4nOPqdjYWB06dEj79u1TYmKiNm/erP79+7sSU84Lmerwt7/9TXPnznU979ChgyRzIs20Ut1UZs2aJZvNpsaNG3t8n0cffVRbt26V1WrVOeeco3/961+VTnwOcEMLhL7UVCkpyez96Gl2RYvF3J+aWvOxAf4wf/583XPPPerTp48kcwXiZ5991q3Mxo0bVVRUJEnKy8vT22+/LUm6+OKL3co5r62ioqL0ySefaPr06frtt9+UnJysfv36acKECbIG69h1AAAQUnxOTJ133nnavn27fv75Z6WlpWnTpk1av369JHPic2f38eowZ84czZkz55Tlli9fXuG+ESNGaMSIEX6MCuGAG1og9Fmt0vTpUkaGIYsMGaU6DTsXlJ02TUE7TxxwKrGxsZo3b16lZUovWJOSkqJTrYGTnJysZcuW+SU+AAAAT3weynfbbbfpnnvu0fHjx/XXv/5V8fHxMgxDhmGoefPmeuaZZ6ojTiCgnDe00skbWCfLiVX5uKEFgp/NJi0ck6NEuU8al5QkLVxo7gcAAABQc3zuMXXdddfpuuuucz3/8ccf9emnn6pOnTq67LLLFBMT48/4gKBhs5k3rpmZUl7eye1JkYWatiCBG1ogRNi+f0wD9blyb5uvgp5DlZBg9nYksQwAAADUPJ8SU0eOHFG/fv1ksVj0z3/+U+3atdMZZ5yhAQMGVFd8QFCx2aSBA6XcXKngp9+UcMd1Si1ZImu77ySdH+jwAFTA4Thx3q7bo4TPIpQqKe0v3aWWgY4MAAAACG8+Jabq1aunL7/8UkeOHFFKSko1hQQEN6tVSkuTlHaG9HY9Od6Vlk5aoYJrzqfnBRCE7PbSPR2bSFqipKidmv5VM9lITAEAAAAB5fMcU506dZIk7dixw+/BAKHGfvb/KUVblD5vlIYNk9LTpZQU80YYQODZ7VJGhvvwW0nKP9ZUGRmcqwAAAECg+ZyYevLJJ1W3bl3ddtttJKcQ1ux2KWN6qvKU6LY9P1/c8AJBwOEwe0p5WnTMkLmKQVaWWQ4AAABAYPicmLrxxhsVERGhTz/9VMnJyYqPj1ebNm1c/84666zqiBMIKidveC0qexo5b4K54QUCKze3fE+p0gxD2r7dLAcAAAAgMHxelW/r1q2yWMy/NBuGoV27drn2GYbh2gfUZr7c8Kal1VhYAEopKPBvOQAAAAD+51Vi6pVXXpHFYtHw4cMlmQkoJ8PTGAmgluOGFwh+CQn+LQcAAADA/7xKTI0cOVIREREaPny4jh8/Xt0xAUGPG14g+KWmSklJ5rxvnv6GYrGY+1NTaz42AAAAACav55iiZxRwkvOGt6KRqxaLlJzMDS8QSFarNH26ZE517v5HFee5O22aWQ4AAABAYPg8+TmA0je85ZNTFplJXG54gcCz2aSFD3+rROW7bU9KkhYuNPcDAAAACByfJj/Pzc31qufU5ZdfXuWAgFBhs5k3tpmZ7hOhJ9XdrWnzm3LDCwSYw2EuQFC8dIXm6E3p2gHaeWOWEhLM3owkjgEAAIDA8ykxlebF8mIWi0W///57VeMBQorNJg0caN78FqzKU8Kfb1b3ki+13Fqg11+P4QYYCBC7vXTS+A5JdyhpZbGmj2SlTAAAACCY+DSUzzAMr/4B4cRqNW90b/y/JO1N6aSzHBuVfl2Mhg2T0tOllBTzJhlAzbDbpYwM956MkpS/O0oZGZyPAAAAQDDxqcdUq1atqisOIOTZ7VLGlsky5J6czc83b5KZzwaofg6H2VPK099IDMMii0XKyjJ7OtKTEQAAAAg8nxJTmzdvrq44gJDmuhmWVLYjomGIm2GghuTmlu8pVZphSNu3m+UY0gcAAAAEHqvyAX5w8mbY4nF/6ZthANWnoMC/5QAAAABULxJTgB9wMwwEh4QE/5YDAAAAUL28GsrXsmVLRUSQwwIqws0wEBxSU6WkJCk/35BhlO/BaLGY+1NTAxAcAAAAgHK8yjZt2bJFmzZtqu5YgJDlvBm2eB7JJ4tFSk7mZhioblarNH26JEOy6LjbPuf5OW0ac70BAAAAwYJuUIAfuG6GVT45ZbGYU6JzMwzUDNt1x7Uw7nYlKt9te1ISq2MCAAAAwYbEFOAnNpt505uY6L49qckRboaBmpSbK9vul7Sl4R+05MNivfaatGSJtHkz5yEAAAAQbLyaYwqAd2w2aeBAc/W9gsnz1ey9WVK7VO0snqilS82hfPSaAqqHw3Hi3Mv+QQnqqdQh5yjtquhAhwUAAACgEiSmAD+zWqW0NMm+podGvne58j5Plj439yUlmUP+6LUB+JfdLmVmSnl5knSbpNuU9E6xpts53wAAAIBgxlA+oBrY7VLG+FbKk/u4vvx8KSPD3A/AP+x287wyk1In5e+O4nwDAAAAghyJKcDPHA6z54ZhSGVPMXOblJVllgNwetzPN3eGYa5EwPkGAAAABC8SU4Cf5eaW77lRmmFI27eb5QCcHs43AAAAILSRmAL8rKDAv+UAVIzzDQAAAAhtJKYAP0tI8G85ABXjfAMAAABCG4kpwM9SU83V9ywWz/stFik52SwH4PS4zjd5mGRKnG8AAABAsCMxBfiZ1SpNn24+Lpucsui4JGnaNLMcgNPjdr6dOL+cnOcf5xsAAAAQvEhMAdXAZpMWLpQSE923JylfC+ceks0WmLiA2sh2zVEtrP9HJSrfbXtSknkecr4BAAAAwatOoAMAaiubTRo40FwNrGCHoYSH/qTuW+Zp+Zq39HqdAUpIMIcX0ZMDqBqH48T5ZV+jhMPb9UtiTy1/5WcV/BrB+QUAAACECBJTQDWyWqW0NEmyyL74Op215RHlTU127U9KMoch0aMD8I3dLmVmSnl5ktRN0lIlHSjS9P0RuvHGAAcHAAAAwGsM5QNqgN0uZbwyQHlyH9uXny9lZJj7AXjHbjfPGzMpdVL+b404nwAAAIAQQ2IKqGYOh9mzwzAsKnvKGScWEsvKMssBqNzJ86n8PvMc43wCAAAAQgmJKaCa5eaW79lRmmFI27eb5QBUjvMJAAAAqF1ITAHVrKDAv+WAcMb5BAAAANQuJKaAapaQ4N9yQDjjfAIAAABqFxJTQDVLTTVX37NYPO+3WKTkZLMcgMqdPJ88TDIlzicAAAAg1JCYAqqZ1SpNn24+Lpucssi8uZ42zSwHoHKu88mQLDruts95fnE+AQAAAKGDxBRQA2w2aeFCKTHRfXtSnQItfNOQzRaYuIBQZLNJC8+6X4nKd9uelGSeZ5xPAAAAQOioE+gAgHBhs0kDB5qrhRVsOqKEu2zqfvRjLc9frddf/4MSEszhR/T0ADxzOE6cP19sU8IvX+qXiHO0fOEOFRxtzPkDAAAAhCgSU0ANslqltDRJafVkf+1anfXJS8rLTHbtT0oyhynR4wNwZ7dLmZlSXp4ktZS0VEnRuzXdaKwbbwxwcAAAAACqjKF8QADY7VLGJ3coT+5j+/LzpYwMcz8Ak91unhdmUuqk/CNNOF8AAACAEEdiCqhhDofZ88Oc9tz9FDROLDSWlWWWA8Kd63zxsAifIXO2c84XAAAAIHSRmAJqWG6us+eHxeN+w5C2bzfLAeHu5PniGecLAAAAENpITAE1rKDAv+WA2ozzBQAAAKjdSEwBNSwhwb/lgNqM8wUAAACo3UhMATUsNdVcfc/ieSSfLBYpOdksB4S7k+eLh0mmxPkCAAAAhDoSU0ANs1ql6dPNx2WTU5YTU6JPm2aWA8Kd63wxJIuOu+1znj+cLwAAAEDoIjEFBIDNJi1cKCUmum9PrPOrsrOl4mJp6VJWGkN4czjM86C4WMpuPVeJynfbn5Rknkc2W2DiA4LNvn37NHz4cMXExCgmJkbDhw/X/v37K33NyJEjZbFY3P517drVrUxxcbHuvvtuxcXFqUGDBhowYIDyKluVAAAAwAd1Ah0AEK5sNmngQHM1sYIfD+inO6Zq5u9/0oQJJ8skJZm9RbjxRrix26XMzNIr8o1UorZr4rh9antJYyUkmMP36CkFnDRs2DDl5eXpww8/lCSNGTNGw4cP1zvvvFPp6/r27avZs2e7nkdFRbntz8rK0jvvvKMFCxaoSZMmGj9+vPr376/Vq1fLykkIAABOE4kpIICsViktTbLvbaTs43+TIfd5dPLzpYwMeoUgvNjt5nFvlJlWaocSlT0tQgsXmucNgJO+//57ffjhh1q5cqW6dOkiSZo5c6a6deumjRs36txzz63wtdHR0YqPj/e4r6ioSLNmzdKrr76q3r17S5LmzZun5ORkffzxx7rqqqv8XxkAABBWSEwBAeZwmD1DzHtw99G1hmHOo5OVZfau4g/TqO1c54OHuc4NRcgizgfAkxUrVigmJsaVlJKkrl27KiYmRsuXL680MbV06VI1a9ZMZ555pnr27KnHHntMzZo1kyStXr1aJSUl6tOnj6t8ixYt1L59ey1fvrzCxFRxcbGKi4tdzw8cOCBJKikpUUlJyWnVNZQ46xpOdZaoN/UOD9SbeoeDmqpvyCSmtmzZor///e/69NNPVVhYqBYtWujmm2/WQw895NblfNu2bbrrrrv06aefql69eho2bJgmT57sVua7777T2LFj9eWXXyo2Nla33Xab/vrXv8pS0TJpQDXKzXUOV/J8/BmGtH27WY5eIqjtTp4PnnE+AJ4VFha6kkmlNWvWTIWFhRW+7uqrr9aQIUPUqlUrbd68WX/96191xRVXaPXq1YqOjlZhYaGioqLUuHFjt9c1b9680vedNGmSJk6cWG77kiVLVL9+fR9qVjvk5OQEOoSAoN7hhXqHF+odHg4fPlwjPydkElM//PCDjh8/rhdffFFnn3221q1bp9GjR+vQoUOaPHmyJMnhcKhfv35q2rSpPv/8c+3Zs0cjRoyQYRiaMWOGJPMvdldeeaXS09O1atUq/fjjjxo5cqQaNGig8ePHB7KKCFMFBf4tB4QyzgfAXXZ2tscET2mrVq2SJI9/YDMMo9I/vN1www2ux+3bt1fnzp3VqlUrvffee7JVMob8VO/74IMP6t5773U9P3DggJKTk5Wenq4mTZpUWp/apKSkRDk5ObryyisVGRkZ6HBqDPWm3uGAelPvcLBnz54a+Tkhk5jq27ev+vbt63repk0bbdy4Uc8//7wrMbV48WJt2LBB27dvV4sWLSRJU6ZM0ciRI/XYY4+pUaNGmj9/vo4ePao5c+YoOjpa7du3148//qhnnnlG9957L72mUOMSEvxbDghlnA+Au7Fjx2ro0KGVlklJSdHatWv166+/ltu3a9cuNW/e3Oufl5CQoFatWumnn36SJMXHx+vYsWPat2+fW6+pnTt3qnv37hW+T3R0tKKjo8ttj4yMDKsLeifqHV6od3ih3uEl3OpdU3UNmcSUJ0VFRYqNjXU9X7Fihdq3b+9KSknSVVddpeLiYq1evVrp6elasWKFevbs6XaxdNVVV+nBBx/Uli1b1Lp1a48/q6bmSgjXsatVVRvaq2tXKTGxjnbskAyjfGLUYjGUmCh17fq7TqeataGtahLt5Rt/tVdNnQ+BxLHlG3+2Vyi2eVxcnOLi4k5Zrlu3bioqKtKXX36pSy+9VJL0xRdfqKioqNIEUll79uzR9u3blXAi+9upUydFRkYqJydH119/vSSpoKBA69at01NPPVWFGgEAALgL2cTUL7/8ohkzZmjKlCmubYWFheX+Kti4cWNFRUW55kEoLCxUSkqKWxnnawoLCytMTFU0V8LixYurZa6EcBu7erpCvb1uvjlBTz55icwp0EvfjBsyDOmmm1bpo4/8M3Yp1NuqptFevvFHeznPB4uOy3BbEMD/50MgcWz5xh/tVVPzJATCeeedp759+2r06NF68cUXJUljxoxR//793SY+b9eunSZNmqRBgwbpt99+U3Z2tgYPHqyEhARt2bJFf/nLXxQXF6dBgwZJkmJiYjRq1CiNHz9eTZo0UWxsrO677z5deOGFrlX6AAAATkfAE1Pezp3QuXNn1/MdO3aob9++GjJkiG699Va3st7Mr1C2jHFi+aeqzJXQp08fNWrUqNL4fRGuY1erqra01zXXSB07OnTvvVbl55/cnhRzQFNeaqBBgzpI6nBaP6O2tFVNob1846/2cjikBg0sOvrlt3ptSQvt0snJnJOSpClTHH45HwKJY8s3/mwvZ2/n2mr+/Pm65557XCvoDRgwQM8++6xbmY0bN6qoqEiSZLVa9d133+mVV17R/v37lZCQoPT0dL3xxhtq2LCh6zVTp05VnTp1dP311+vIkSPq1auX5syZIytLYwIAAD8IeGLK27kTnHbs2KH09HR169ZNL730klu5+Ph4ffHFF27b9u3bp5KSElevqPj4+HKryOzcuVOSKp2DoabnSgi3saunqza01/XXS4MHm6uNFby+VM1eekSqG6+dJfP0v/9FKDVV8sc9QG1oq5pEe/nmdNrLbpcyM52r8l0sSYprcFg3j66vgQOl1FSLrNaAf235DceWb/zRXrW9vWNjYzVv3rxKyzj/GCdJ9erV00cffXTK961bt65mzJjhWkgGAADAnwJ+he/t3AmSlJ+fr/T0dHXq1EmzZ89WRESE2/5u3brpscceU0FBgWtuhMWLFys6OlqdOnVylfnLX/6iY8eOKSoqylWmRYsW5Yb4ATXNapXS0iR7QTeNnPmq8n5NlG429yUlSdOnS5UskgSELLtdysiQSt0zS5L2HK6n6dPlt8QsAAAAgOASceoiwWHHjh1KS0tTcnKyJk+erF27dqmwsNCt91OfPn10/vnna/jw4VqzZo0++eQT3XfffRo9erRruN2wYcMUHR2tkSNHat26dVq0aJEef/xxVuRD0LDbpYybopVntHDbnp9v3rjb7QEKDKgmDofZU6psUko6OQF6VpZZDgAAAEDtEjKJqcWLF+vnn3/Wp59+qqSkJCUkJLj+OVmtVr333nuqW7euLrvsMl1//fW67rrrNHnyZFeZmJgY5eTkKC8vT507d9add96pe++9123+KCBQ3G/Qy86FZv7PDTpqm9xc5/A9zwxD2r7dLAcAAACgdgn4UD5vjRw5UiNHjjxluZYtW+rdd9+ttMyFF16ozz77zE+RAf7jyw16WlqNhQVUqwIvF9jzthwAAACA0BEyPaaAcMANOsJRqY6vfikHAAAAIHSQmAKCCDfoCEepqebk/hZ5mGRKksUiJSeb5QAAAADULiSmgCDiukGvYB5+i8XgBh21jtVqrjgpSRYdd9vnPBemTWNVPgAAAKA2IjEFBBG3G/RyyanjMgxp8GBzjikmQEdt4HBIS5dKxT9sVrb+pkTtcNuflCQtXCjZbIGJDwAAAED1IjEFBBmbzbwRT0x0327VcUkWTZsmpadLKSmS3R6AAAE/sdvN4zg9XRr2UGtN0N9l1KuniROl116TliyRNm8mKQUAAADUZiSmgCBks0lbtpg35llZkmTIUeZ0zc+XMjJITiE02e3m8Vt2FcodR2KVnS1FR5srTzJ8DwAAAKjdSEwBQcpqNeeSWrhQkiwqe7oaJ+aJzspiWB9Ci8MhZWaePIZLM2SOYeW4BgAAAMIDiSkgiOXmlu9RUpphSNu3m+WAUMFxDQAAAMCJxBQQxAoK/FsOCAYc1wAAAACcSEwBQSwhwb/lgGDAcQ0AAADAicQUEMRSU6WkJMli8bzfYpGSk81yQKhwHdfyMMmUOK4BAACAcEJiCghiVqs0fbr5uGxyyqLjkqRp01i5DKHF7bg+cRw7OY9zjmsAAAAgPJCYAoKczWauzJeY6L49UXnKvq1AxcXS0qWsYIbQ4HCYx2vxtl+VrQlKVL7b/qQk83i32QITHwAAAICaVSfQAQA4NZtNGjjQXKWsoED66fF/a+a6bprwQoL0glkmKcnshcINPYKV3S5lZjpX5Gsu6RElRu/SxL9Ibduac0qlptJTCgAAAAgn9JgCQoTVKqWlSdHRUva6IcqTexeq/HwpI8O8+QeCjd1uHp9mUuqkHcVxys42j+u0NJJSAAAAQLghMQWEEIfD7HFiyKKyp69xYh7prCyG9SG4uI5bD3Odm8cyxy0AAAAQrkhMASEkN7d8j5PSDEPavt0sBwQLjlsAAAAAFSExBYSQggL/lgNqAsctAAAAgIqQmAJCSEKCf8sBNYHjFgAAAEBFSEwBISQ11Vx9z2LxvN9ikZKTzXJAsHAdt/IwyZQ4bgEAAIBwRmIKCCFWqzR9uvm4fHLquAzD0ODB5lw9TCSNYOBwmMdjRoZkSLLouNt+53E8bRor8gEAAADhiMQUEGJsNmnhQikx0X27VcclWTRtmpSeLqWkSHZ7AAIETrDbzeMwPd1MPEkWRZRJTCUlmcezzRaAAAEAAAAEHIkpIATZbNKWLdKSJVJWliQZcpQ5nfPzzV4qJKcQCHa7efyVXY3PeZxmZZnH7+bNJKUAAACAcEZiCghRVqs5J8/Chc4t7qezcWI6n6wshvWhZjkcUmbmyWPQXYQsFumtt8zjl+F7AAAAQHgjMQWEsNxcZ48Uz7OhG4a0fbtZDqgpJ49LzzguAQAAADiRmAJCWEGBf8sB/sBxCQAAAMBbJKaAEJaQ4N9ygD9wXAIAAADwFokpIISlppqrmlk8j+STxSIlJ5vlgJpy8rj0OMkUxyUAAAAAFxJTQAizWqXp083H5ZNThgxDGjzYnMuHCdBRExwO83jLyDDnkrLouNt+53E6bRoTnwMAAAAgMQWEPJvNXJkvMdF9u1VmJmraNCk9XTr77DpasYKxU6g+K1Yk6Oyz6yg93TzuJIsiyiSmkpLM49VmC0SEAAAAAIINiSmgFrDZpC1bpCVLpKwsQ5IhR5nTe8cO6cknL9GiRRWM+wNOw6JFFj355CXKz3ffbh6HhrKyzONz82aSUgAAAABOIjEF1BJWqzlnz8KFzsST++ltGOb28eOtDOuDXzkc0r33OsfllU18Rshiseitt8zjk+F7AAAAAEojMQXUIrm5Ul6eVD454GRRXp5Fubk1GBRqvdxcKT/fooqOO8OQtm8Xxx0AAACAckhMAbVIQYF/ywHe4LgDAAAAUFUkpoBaJMHLuc29LQd4g+MOAAAAQFWRmAJqkdRUc9UzS4XzmxuKizPUvXtNRoXarnt3KS7OnHTfE4tFSk42j08AAAAAKI3EFFCLWK3S9OnmY8/JKYt277borLMku70mI0NtZbdLZ50l7d7teY4p53E4bRoTnwMAAAAoj8QUUMvYbNLChVJiYsVl8vOljAySUzg9drt5HJkT7nuWlGQejzZbzcUFAAAAIHSQmAJqIZtN+uUXqWlTydPwKuPEpqwsyeGoychQWzgcUmbmyWPJk6ZNpZ9/JikFAAAAoGIkpoBaavlyadcuydPwKslMKGzfLuXm1mhYqCVycyvvKSWZx9/y5TUTDwAAAIDQRGIKqKUKCvxbDiiN4wsAAACAP5CYAmqphAT/lgNK4/gCAAAA4A8kpoBaKjXVnHja8+p85vbkZLMc4CvX8eVhDjOJ4wsAAACAd0hMAbWU1SpNn24+Lp+cOi7DMDR4sDlXEBOgwxcOh3ncZFz9mwxJFh132+883qZNM49DAAAAAKgIiSmgFrPZpIULpcRE9+1WHZdk0bRpUnq6lJIi2e0BCBAhx243j5f0dGnazDMkWRRRptdUUpJ53LEaHwAAAIBTITEF1HI2m7Rli5ST87uuvfZnSYYcZU79/HwpI4PkFCpnt5vHSdnV+MzjydC11/6snJzftXkzSSkAAAAA3iExBYQBq1Xq0cPQ8uXOrlPup75xosNLVhbD+uCZwyFlZp48VtxZZLFIK1a0UI8eBsP3AAAAAHiNxBQQJj7/3KI9e+pJ8jwbumFI27ebcwcBZeXmlu8pVZphWLR7d319/nkFs+0DAAAAgAckpoAwUVDg33IILxw/QPDbt2+fhg8frpiYGMXExGj48OHav39/pa+xWCwe/z399NOuMmlpaeX2Dx06tJprAwAAwkWdQAcAoGYkJHhX7tdfzWFbDMeCk8NhHhfe8PY4A+B/w4YNU15enj788ENJ0pgxYzR8+HC98847Fb6moEw2+YMPPtCoUaM0ePBgt+2jR4/WI4884nper149P0YOAADCGYkpIEz06GGoSZMj2ru3rgyj4uFW48ZJU6ZI06czgTXMCc8zMysfxidJFot5fPXoEVkzgQFw8/333+vDDz/UypUr1aVLF0nSzJkz1a1bN23cuFHnnnuux9fFx8e7Pf/vf/+r9PR0tWnTxm17/fr1y5UFAADwB4byAWHCapVuvfU7SZKlXF7KfUZrVumDVPEqfGWPF+fxNGrUOnraAQGyYsUKxcTEuJJSktS1a1fFxMRo+fLlXr3Hr7/+qvfee0+jRo0qt2/+/PmKi4vTBRdcoPvuu08HDx70W+wAACC80WMKCCPduhVowQKHxo+vUybZ4J6pMgwz2ZCVJQ0cyLC+cHSqVfhKS0qSJk92KDq6QFKHmggPQBmFhYVq1qxZue3NmjVTYWGhV+8xd+5cNWzYULYy3WVvuukmtW7dWvHx8Vq3bp0efPBBffvtt8rJyanwvYqLi1VcXOx6fuDAAUlSSUmJSkpKvIqnNnDWNZzqLFFv6h0eqDf1Dgc1VV8SU0CYGTTI0ODB0owZ5rC9ipRepS8trcbCQ5A41Sp8TlOnSnffLR0/buj996s/LiDcZGdna+LEiZWWWbVqlSRzIvOyDMPwuN2Tf/3rX7rppptUt25dt+2jR492PW7fvr3atm2rzp076+uvv1bHjh09vtekSZM8xr1kyRLVr1/fq3hqk8qSeLUZ9Q4v1Du8UO/wcPjw4Rr5OSSmgDBktUrNm3tXllXWwpO3n3vz5ubxdPx49cYDhKuxY8eecgW8lJQUrV27Vr96WKVg165dau7FL/zc3Fxt3LhRb7zxxinLduzYUZGRkfrpp58qTEw9+OCDuvfee13PDxw4oOTkZKWnp6tJkyan/Bm1RUlJiXJycnTllVcqMjJ85uCj3tQ7HFBv6h0O9uzZUyM/J2QSU1u2bNHf//53ffrppyosLFSLFi10880366GHHlJUVJQk6dtvv9UTTzyhzz//XLt371ZKSopuv/12ZWZmur1P69aty73/Bx98oL59+9ZYfYBA83b1NFZZC08cH0BwiIuLU1xc3CnLdevWTUVFRfryyy916aWXSpK++OILFRUVqXv37qd8/axZs9SpUydddNFFpyy7fv16lZSUKKGSXwDR0dGKjo4utz0yMjKsLuidqHd4od7hhXqHl3Crd03VNWQSUz/88IOOHz+uF198UWeffbbWrVun0aNH69ChQ5o8ebIkafXq1WratKnmzZun5ORkLV++XGPGjJHVatXYsWPd3u/jjz/WBRdc4HoeGxtbo/UBAi011ZwbKD+/onmEpNhYc64hh4N5psKJ8zOPjZX27jVUdk4pyZyDLCnJPI4ABN55552nvn37avTo0XrxxRclSWPGjFH//v3dVuRr166dJk2apEGDBrm2HThwQG+++aamTJlS7n1/+eUXzZ8/X9dcc43i4uK0YcMGjR8/Xh06dNBll11W/RUDAAC1Xsgkpvr27evWo6lNmzbauHGjnn/+eVdi6k9/+pPba9q0aaMVK1bIbreXS0w1adKEZY8R1qxWafp0c9U1i6VscspMRuzdK/XubSYgpk+XysyHi1rIbjcnPT85v5RFzuPBteXEw2nTSFgCwWT+/Pm655571KdPH0nSgAED9Oyzz7qV2bhxo4qKity2LViwQIZh6MYbbyz3nlFRUfrkk080ffp0/fbbb0pOTla/fv00YcIEWfkFAAAA/CBkElOeFBUVnbKnU0VlBgwYoKNHj6pt27YaN26cMjIyqitMIGjZbNLChWUTEeXl55sJrIULSU7VZna7+TlX1IPOKSnJTEpxLADBJTY2VvPmzau0jOHhBB8zZozGjBnjsXxycrKWLVvml/gAAAA8CdnE1C+//KIZM2Z47HbutGLFCv373//We++959p2xhln6JlnntFll12miIgIvf3227rhhhs0d+5c3XzzzRW+V00texyuy1BWFe3lvYra6tprpWuukZYts2jYMKv27pXKDt0yDMliMZSZKV1zze9h0Usm3I4th0O65546J5JSZYfumb2mYmOl11936PLLDVmtUummCbf2Oh20lW/82V60OQAAQPAJeGLK22WQO3fu7Hq+Y8cO9e3bV0OGDNGtt97q8TXr16/XwIED9be//U1XXnmla3tcXJzGjRvnet65c2ft27dPTz31VKWJqYqWPV68eHG1LHscbstQni7ay3sVtdV33zXR3r09KnydYViUlydNnvyFLrywZlZnCAbhcmx9910T5edX/Pk7h3Z++eVKHTlS8ecfLu3lD7SVb/zRXjW15DEAAAC8F/DElLfLIDvt2LFD6enp6tatm1566SWP5Tds2KArrrhCo0eP1sMPP3zKGLp27aqXX3650jIVLXvcp08fNWrU6JQ/w1vhugxlVdFe3jtVWx04UH6Ca09ateqqa645xVivWiDcjq3T/fzDrb1OB23lG3+2l7O3MwAAAIJHwBNT3i6DLEn5+flKT09Xp06dNHv2bEVERJQrs379el1xxRUaMWKEHnvsMa/ed82aNZUueSzV/LLH4bYM5emivbxXUVslJ3v3+j176igiInwmvQ6XY6tFC+/KJSfXUWXNES7t5Q+0lW/80V60NwAAQPAJeGLKWzt27FBaWppatmypyZMna9euXa59ztX11q9fr/T0dPXp00f33nuvCgsLJUlWq1VNmzaVJM2dO1eRkZHq0KGDIiIi9M477+gf//iHnnzyyZqvFBBEUlPNSa3z8yuf/HrcOGnKFFbpq03sdumeeyovY7GYx0dqas3EBAAAACA8hExiavHixfr555/1888/KykpyW2fc4WZN998U7t27dL8+fM1f/581/5WrVppy5YtruePPvqotm7dKqvVqnPOOUf/+te/Kp1fCggHVquZbMrIMJMQ7skpQ6UnxGaVvtrDm5X4LCc++mnTwqenHAAAAICaUX4sXJAaOXKkDMPw+M8pOzvb4/7SSakRI0Zow4YNOnTokA4cOKCvvvqKpBRwgs1mJpsSE8vuKb9KnyRlZZmruSE0ORxSZmblSSnJPB5IQgIAAACoDiGTmAJQM2w2acsWaerUyssZhrR9u5SbWyNhoRrk5kp5eacuN2cOSSkAAAAA1YPEFIByrFapeXPvyhYUVG8sqD7efnY7d1ZvHAAAAADCF4kpAB6dYqFKl2bNqjcOVA+HQ/r1V+/KenssAAAAAICvSEwB8Mi5Sp/FUnm5kSPNCbQROux2KSXFXGGxMhaLlJzMSnwAAAAAqg+JKQAeOVfpkypPTjlX6CM5FRqcq/CVn1vKfQZ0VuIDAAAAUBNITAGokHOVvhYtKi7DCn2ho/JV+Nyzj0lJrMQHAAAAoPqRmAJQKZtNmju38jKs0BcavF2Fb+pUafNmklIAAAAAqh+JKQCn5O2qbJ98Qq+pYOVwmJ+PN5o3Z/geAAAAgJpBYgrAKXm7Ktujj5qTajPfVHBxTnb+6KPelWcVPgAAAAA1hcQUgFPydoU+icnQg03Fk52Xxyp8AAAAAGoaiSkAp+TtCn0Sk6EHk8onO3fHKnwAAAAAAoHEFACvOFfoS0w8dVkmQw8O3k52LrEKHwAAAIDAIDEFwGs2m7Rli/Tww96VLyio1nBQCV8mO3/4YVbhAwAAABAYJKYA+MRqlXr18q7sr78ynC8QfJ3svFcvhu8BAAAACAwSUwB85u1k6OPGsUpfTWOycwAAAAChhMQUAJ9VPhm6+0zbrNJXc5jsHAAAAECoITEFoEoqngzdPVPFKn01h8nOAQAAAIQaElMAqsw5GfrUqZWXc67SN2MGyanqwmTnAAAAAEIRiSkAp8VqlZo3964sc05VDyY7BwAAABCqSEwBOG0JCd6XZc4p/2KycwAAAAChjMQUgNPm7Sp9EnNO+ROTnQMAAAAIdSSmAJy2ylfpK88551RubvXGVdsx2TkAAACAUEdiCoBfVLxKX8Xy86svnnDgbfsx2TkAAACAYEViCoDfeLtKn9O4ccw1VVV2uzkc0htMdg4AAAAgWJGYAuBXVqt0993ezTm1ezcToVeFc8Lz3bsrL8dk5wAAAACCHYkpAH5Xes6pyjARuu+8nfCcyc4BAAAAhAISUwCqhXPOqbi4yss5J0KfMYPk1Kk4HGY7eTPheVwck50DAAAACH4kpgBUG5vN7LHjjXHjpJQUhvVVxG4322fcOO/KT51KUgoAAABA8CMxBaBa+bpKH3NOleecU8qbnlJOvrQ7AAAAAAQKiSkA1So11buJ0CVzWJ9hSKNHS598wtA+h8Nsh9GjTz2nlBMTngMAAAAIJSSmAFSr0hOhe5OckqS9e6XevcN7aJ9z6F7v3mZ7eIMJzwEAAACEGhJTAKqdcyJ0X4eXhevQvqoM3ZPMnmlMeA4AAAAglJCYAlAjbDZpyxZzUm5vhdvQvqoM3XOaOlXavJmkFAAAAIDQQmIKQI2xWqW77/Z+zimncBjaV5Whe9LJOaXuvpvhewAAAABCD4kpADWqKnNOOdXWoX1VHbrHnFIAAAAAQh2JKQA1rqpzTtXGoX3Hjkm33+770D2JOaUAAAAAhD4SUwACwjnn1McfS7Gxvr22tgzts9vN5NyuXb69LjbWbDfmlAIAAAAQ6khMAQgYq1Xq1UuaOdMclhZOQ/ucw/d27/b+Nc42mjnTbDeG7wEAAAAIdSSmAATc6Q7tu/12c0hcKDidlfcYugcAAACgtiExBSAonM7Qvl27zKRNsPecqurKewzdAwAAAFBbkZgCEDROZ2jfrl3S4MHSuHHS0qXBMzG6w2HGM26cGV9VVt5j6B4AAACA2orEFICgU9WhfZI0bZqUnh4cE6M7e0ilp5tx+appU4buAQAAAKjdSEwBCEqnM7RPMnsmBaIH1en2kHJq2tR8LUkpAAAAALVZnUAHAAAVKT20LyPD98nCJbOn0rRpZu+rMWOktm2lhAQpNdU/Q+McDik3VyookH76yYy1qsko6eTwxRdekKKiTj8+AAAAAAhmJKYABD3n0L7bbpN2767ae+TnSxMmnHweFyfdfLM0cKDvSSpnMuq//5Xmzzfnt/KXpCQzkUZPKQAAAADhgKF8AEKCzWYml5o29c/77d59cj6qVq2kRx6RXn/dHIZ37Ji0bJlFn32WqGXLLDp2zNz++utmudLzRvkrKcXKewBO12OPPabu3burfv36OvPMM716jWEYys7OVosWLVSvXj2lpaVp/fr1bmWKi4t19913Ky4uTg0aNNCAAQOUdzpdQwEAAEqhxxSAkBEVZQ5xy8gwn1dlaJ8nZXtTWa2Sw1FHUmc984zzuX9+VlnOoXvOlfcAoKqOHTumIUOGqFu3bpo1a5ZXr3nqqaf0zDPPaM6cOTrnnHP06KOP6sorr9TGjRvVsGFDSVJWVpbeeecdLViwQE2aNNH48ePVv39/rV69WlaWCwUAAKeJHlMAQsrprNjnrbJJqOqcOD0piZX3APjHxIkTNW7cOF144YVelTcMQ9OmTdNDDz0km82m9u3ba+7cuTp8+LBee+01SVJRUZFmzZqlKVOmqHfv3urQoYPmzZun7777Th9//HF1VgcAAIQJElMAQo5zxb4lS6SsLHObs+dRqMjKMuNn6B6AQNm8ebMKCwvVp08f17bo6Gj17NlTy5cvlyStXr1aJSUlbmVatGih9u3bu8oAAACcDobyVZFxYgzRgQMH/Pq+JSUlOnz4sA4cOKDIyEi/vndtRHt5rza2VceO5r9OnaT775d27Ah0RKeWmCg98YQ0YID5/NChwMbjL7Xx+KoutJVv/Nlezu9sw1/jgENcYWGhJKl58+Zu25s3b66tW7e6ykRFRalx48blyjhf70lxcbGKi4tdz4uKiiRJe/fu9UvsocJ5/O7ZsyesznfqTb3DAfWm3uHA+b1d3ddOJKaq6ODBg5Kk5OTkAEcCIJTk50vDhwc6CiC8HTx4UDExMYEOwyvZ2dmaOHFipWVWrVqlzp07V/lnWMp0OTUMo9y2sk5VZtKkSR7jPuecc6oWJAAACJg9e/ZU67UTiakqatGihbZv366GDRue8uLNFwcOHFBycrK2b9+uRo0a+e19ayvay3u0lW9oL9/QXt6jrXzjz/YyDEMHDx5UixYt/BRd9Rs7dqyGDh1aaZmUlJQqvXd8fLwks1dUQkKCa/vOnTtdvaji4+N17Ngx7du3z63X1M6dO9W9e/cK3/vBBx/Uvffe63q+f/9+tWrVStu2bQuZpKA/hOv5Tr2pdzig3tQ7HBQVFally5aKjY2t1p9DYqqKIiIilJSUVG3v36hRo7A64E8X7eU92so3tJdvaC/v0Va+8Vd7hVpSJC4uTnFxcdXy3q1bt1Z8fLxycnLUoUMHSebKfsuWLdOTTz4pSerUqZMiIyOVk5Oj66+/XpJUUFCgdevW6amnnqrwvaOjoxUdHV1ue0xMTFge9+F6vlPv8EK9wwv1Di8REdU7PTmJKQAAgFpg27Zt2rt3r7Zt2yaHw6FvvvlGknT22WfrjDPOkCS1a9dOkyZN0qBBg2SxWJSVlaXHH39cbdu2Vdu2bfX444+rfv36GjZsmCQzkTRq1CiNHz9eTZo0UWxsrO677z5deOGF6t27d6CqCgAAahESUwAAALXA3/72N82dO9f13NkLasmSJUpLS5Mkbdy40TURuST9+c9/1pEjR3TnnXdq37596tKlixYvXqyGDRu6ykydOlV16tTR9ddfryNHjqhXr16aM2eOrFZrzVQMAADUaiSmgkx0dLQmTJjgsfs7yqO9vEdb+Yb28g3t5T3ayje0l/fmzJmjOXPmVFqm7Ko6FotF2dnZys7OrvA1devW1YwZMzRjxowqxxaunyP1pt7hgHpT73BAvau33haDNZMBAAAAAAAQANU7gxUAAAAAAABQARJTAAAAAAAACAgSUwAAAAAAAAgIElNB5r333lOXLl1Ur149xcXFyWazue3ftm2brr32WjVo0EBxcXG65557dOzYsQBFGxyKi4t18cUXy2KxuJbGdqK9pC1btmjUqFFq3bq16tWrp7POOksTJkwo1w601UnPPfecWrdurbp166pTp07Kzc0NdEhBYdKkSbrkkkvUsGFDNWvWTNddd502btzoVsYwDGVnZ6tFixaqV6+e0tLStH79+gBFHDwmTZoki8WirKws1zbayl1+fr5uvvlmNWnSRPXr19fFF1+s1atXu/bTXsHtscceU/fu3VW/fn2deeaZHstU5XumuLhYd999t+Li4tSgQQMNGDBAeXl51VAD/1i6dKksFovHf6tWrarwdSNHjixXvmvXrjUY+elLSUkpV4cHHnig0teE+nnt7TVWWaH4eft6bbRs2TJ16tRJdevWVZs2bfTCCy/UUKT+4c01T1kVnf8//PBDDUV9+rKzs8vFHx8fX+lrQv2zljz//rJYLLrrrrs8lg/Vz/qzzz7TtddeqxYtWshiseg///mP2/6q/k5+6623dP755ys6Olrnn3++Fi1a5HNsJKaCyFtvvaXhw4frlltu0bfffqv//e9/GjZsmGu/w+FQv379dOjQIX3++edasGCB3nrrLY0fPz6AUQfen//8Z7Vo0aLcdtrL9MMPP+j48eN68cUXtX79ek2dOlUvvPCC/vKXv7jK0FYnvfHGG8rKytJDDz2kNWvWKDU1VVdffbW2bdsW6NACbtmyZbrrrru0cuVK5eTk6Pfff1efPn106NAhV5mnnnpKzzzzjJ599lmtWrVK8fHxuvLKK3Xw4MEARh5Yq1at0ksvvaQ//OEPbttpq5P27dunyy67TJGRkfrggw+0YcMGTZkyxS3BQXsFt2PHjmnIkCG64447PO6v6vdMVlaWFi1apAULFujzzz/Xb7/9pv79+8vhcFRHNU5b9+7dVVBQ4Pbv1ltvVUpKijp37lzpa/v27ev2uvfff7+GovafRx55xK0ODz/8cKXlQ/289uYaqyKh9Hn7em20efNmXXPNNUpNTdWaNWv0l7/8Rffcc4/eeuutGo686ry55qnIxo0b3T7btm3b1kDE/nPBBRe4xf/dd99VWLY2fNaSea1Wus45OTmSpCFDhlT6ulD7rA8dOqSLLrpIzz77rMf9VfmdvGLFCt1www0aPny4vv32Ww0fPlzXX3+9vvjiC9+CMxAUSkpKjMTEROPll1+usMz7779vREREGPn5+a5tr7/+uhEdHW0UFRXVRJhB5/333zfatWtnrF+/3pBkrFmzxm0f7eXZU089ZbRu3dr1nLY66dJLLzVuv/12t23t2rUzHnjggQBFFLx27txpSDKWLVtmGIZhHD9+3IiPjzeeeOIJV5mjR48aMTExxgsvvBCoMAPq4MGDRtu2bY2cnByjZ8+eRmZmpmEYtFVZ999/v9GjR48K99NeoWP27NlGTExMue1V+Z7Zv3+/ERkZaSxYsMC1LT8/34iIiDA+/PBDv8deHY4dO2Y0a9bMeOSRRyotN2LECGPgwIE1E1Q1adWqlTF16lSvy9fW87rsNZYnofZ5+3pt9Oc//9lo166d27bbbrvN6Nq1a7XFWN3KXvN4smTJEkOSsW/fvpoLzM8mTJhgXHTRRV6Xr42ftWEYRmZmpnHWWWcZx48f97i/NnzWkoxFixa5nlf1d/L1119v9O3b123bVVddZQwdOtSneOgxFSS+/vpr5efnKyIiQh06dFBCQoKuvvpqt65zK1asUPv27d16B1111VUqLi52G+4QLn799VeNHj1ar776qurXr19uP+1VsaKiIsXGxrqe01amY8eOafXq1erTp4/b9j59+mj58uUBiip4FRUVSZLrWNq8ebMKCwvd2i86Olo9e/YM2/a766671K9fP/Xu3dttO23l7u2331bnzp01ZMgQNWvWTB06dNDMmTNd+2mv0FeV75nVq1erpKTE7XNv0aKF2rdvHzKf+9tvv63du3dr5MiRpyy7dOlSNWvWTOecc45Gjx6tnTt3Vn+Afvbkk0+qSZMmuvjii/XYY49VOqSttp7XZa+xKhIqn3dVro1WrFhRrvxVV12lr776SiUlJdUWa3Uqe81TGee9XK9evbRkyZLqDs3vfvrpJ7Vo0UKtW7fW0KFDtWnTpgrL1sbP+tixY5o3b57+9Kc/yWKxVFo21D/r0qr6O7miY8DX3+MkpoKE84TPzs7Www8/rHfffVeNGzdWz549tXfvXklSYWGhmjdv7va6xo0bKyoqSoWFhTUecyAZhqGRI0fq9ttvr7BrPO3l2S+//KIZM2bo9ttvd22jrUy7d++Ww+Eo1xbNmzcPq3bwhmEYuvfee9WjRw+1b99eklxtRPuZFixYoK+//lqTJk0qt4+2crdp0yY9//zzatu2rT766CPdfvvtuueee/TKK69Ior1qg6p8zxQWFioqKkqNGzd22x5Kn/usWbN01VVXKTk5udJyV199tebPn69PP/1UU6ZM0apVq3TFFVeouLi4hiI9fZmZmVqwYIGWLFmisWPHatq0abrzzjsrLF8bz2tP11iehNLnXZVrI0/ne/PmzfX7779r9+7d1RZrdfF0zeNJQkKCXnrpJb311luy2+0699xz1atXL3322Wc1GO3p6dKli1555RV99NFHmjlzpgoLC9W9e3ft2bPHY/na9llL0n/+8x/t37+/0j8o1IbPuqyq/k6u6Bjw9fc4ialq5mkCubL/vvrqKx0/flyS9NBDD2nw4MHq1KmTZs+eLYvFojfffNP1fp6ytoZhnDKbGyq8ba8ZM2bowIEDevDBByt9v9rcXt62VWk7duxQ3759NWTIEN16661u+2pzW/mqbJ3DtR0qM3bsWK1du1avv/56uX20n7R9+3ZlZmZq3rx5qlu3boXlaCvT8ePH1bFjRz3++OPq0KGDbrvtNo0ePVrPP/+8Wznaq2ZV5XumMv76ngnE516VtsjLy9NHH32kUaNGnfL9b7jhBvXr10/t27fXtddeqw8++EA//vij3nvvveqqkld8qfe4cePUs2dP/eEPf9Ctt96qF154QbNmzarwhtYpGM9rf19jlRWsn3dlfP2cPJX3tD0UVHbNU9q5556r0aNHq2PHjurWrZuee+459evXT5MnT66hSE/f1VdfrcGDB+vCCy9U7969Xcfk3LlzK3xNbfqsJfMPCldffbXHOYydasNnXZGq/E72x+/xOj6Vhs/Gjh2roUOHVlomJSXFNaHY+eef79oeHR2tNm3auCYWjI+PLzeJ2L59+1RSUlIuSxmqvG2vRx99VCtXrlR0dLTbvs6dO+umm27S3Llza317edtWTjt27FB6erq6deuml156ya1cbW8rb8XFxclqtZbL8O/cuTOs2uFU7r77br399tv67LPPlJSU5NruXLWlsLBQCQkJru3h2H6rV6/Wzp071alTJ9c2h8Ohzz77TM8++6xrZR/aypSQkOD2/SdJ5513nmvyVI6twPD1e6YyVfmeiY+P17Fjx7Rv3z63XlM7d+5U9+7dvfq5/lKVtpg9e7aaNGmiAQMG+PzzEhIS1KpVK/30008+v9afTucYcK4y9/PPP6tJkybl9gfzee3PayxvBMvn7UlVro3i4+M9lq9Tp47HYyGYVXTN462uXbtq3rx51RBZzWjQoIEuvPDCCo/N2vRZS9LWrVv18ccfy263+/zaUP+sq/o7uaJjwNff4ySmqllcXJzi4uJOWa5Tp06Kjo7Wxo0b1aNHD0lSSUmJtmzZolatWkmSunXrpscee0wFBQWug2Xx4sWKjo52u/kJZd621z/+8Q89+uijruc7duzQVVddpTfeeENdunSRVPvby9u2ksxl2NPT01098SIi3DtL1va28lZUVJQ6deqknJwcDRo0yLU9JydHAwcODGBkwcEwDN19991atGiRli5dqtatW7vtb926teLj45WTk6MOHTpIMsfpL1u2TE8++WQgQg6YXr16lVvF5pZbblG7du10//33q02bNrRVKZdddlm5Zbh//PFH1/cfx1Zg+PI9cypV+Z7p1KmTIiMjlZOTo+uvv16SVFBQoHXr1umpp57yS1ze8rUtDMPQ7Nmz9cc//lGRkZE+/7w9e/Zo+/btbjcHgXA6x8CaNWskqcI6BPN57c9rLG8Ey+ftSVWujbp166Z33nnHbdvixYvVuXPnKp0PgXCqax5vrVmzJig/V28VFxfr+++/V2pqqsf9teGzLm327Nlq1qyZ+vXr5/NrQ/2zrurv5G7duiknJ0fjxo1zbVu8eLHvf0Dyaap0VKvMzEwjMTHR+Oijj4wffvjBGDVqlNGsWTNj7969hmEYxu+//260b9/e6NWrl/H1118bH3/8sZGUlGSMHTs2wJEH3ubNm8utykd7mfLz842zzz7buOKKK4y8vDyjoKDA9c+JtjppwYIFRmRkpDFr1ixjw4YNRlZWltGgQQNjy5YtgQ4t4O644w4jJibGWLp0qdtxdPjwYVeZJ554woiJiTHsdrvx3XffGTfeeKORkJBgHDhwIICRB4fSq/IZBm1V2pdffmnUqVPHeOyxx4yffvrJmD9/vlG/fn1j3rx5rjK0V3DbunWrsWbNGmPixInGGWecYaxZs8ZYs2aNcfDgQcMwvPueycvLM84991zjiy++cG27/fbbjaSkJOPjjz82vv76a+OKK64wLrroIuP333+v8Tr64uOPPzYkGRs2bPC4/9xzzzXsdrthGObqnePHjzeWL19ubN682ViyZInRrVs3IzExMWSO7+XLlxvPPPOMsWbNGmPTpk3GG2+8YbRo0cIYMGCAW7nS9TaM0D+vvbnGMozQ/7xPdW30wAMPGMOHD3eV37Rpk1G/fn1j3LhxxoYNG4xZs2YZkZGRxsKFCwNVBZ95c81Ttt5Tp041Fi1aZPz444/GunXrjAceeMCQZLz11luBqEKVjB8/3li6dKmxadMmY+XKlUb//v2Nhg0b1urP2snhcBgtW7Y07r///nL7astnffDgQdf3syTX7+2tW7cahuHd7+Thw4e7rcj5v//9z7BarcYTTzxhfP/998YTTzxh1KlTx1i5cqVPsZGYCiLHjh0zxo8fbzRr1sxo2LCh0bt3b2PdunVuZbZu3Wr069fPqFevnhEbG2uMHTvWOHr0aIAiDh6eElOGQXsZhrl0tySP/0qjrU765z//abRq1cqIiooyOnbsWOnSwOGkouNo9uzZrjLHjx83JkyYYMTHxxvR0dHG5Zdfbnz33XeBCzqIlE1M0Vbu3nnnHaN9+/ZGdHS00a5dO+Oll15y2097BbcRI0Z4/P2wZMkSV5lTfc84v8tLv+bIkSPG2LFjjdjYWKNevXpG//79jW3bttVgzarmxhtvNLp3717h/tK/Ow8fPmz06dPHaNq0qREZGWm0bNnSGDFiREjU02n16tVGly5djJiYGKNu3brGueeea0yYMME4dOiQW7na9p3h7TVWbfi8K7s2GjFihNGzZ0+38kuXLjU6dOhgREVFGSkpKcbzzz9fwxGfHm+uecrW+8knnzTOOusso27dukbjxo2NHj16GO+9917NB38abrjhBiMhIcGIjIw0WrRoYdhsNmP9+vWu/bXxs3b66KOPDEnGxo0by+2rLZ/1kiVLPB7XI0aMMAzDu9/JPXv2dJV3evPNN41zzz3XiIyMNNq1a1elBJ3FME7MTgYAAAAAAADUIFblAwAAAAAAQECQmAIAAAAAAEBAkJgCAAAAAABAQJCYAgAAAAAAQECQmAIAAAAAAEBAkJgCAAAAAABAQJCYAgAAAAAAQECQmAIAAAAAAEBAkJgC4CY7O1sWi8X1r06dOmrUqJHOOuss9evXT7NmzdKRI0fKvS4tLc31mi1btvj8c6dNm6bs7GxlZ2effiWC3E8//aTo6GhZLBa99dZbAY3l6aeflsViUVxcnPbt2xfQWAAACEVcO1U/rp2A2s1iGIYR6CAABI/s7GxNnDix0jLt2rXTokWL1K5dO9e2tLQ0LVu2TJK0efNmpaSk+PRzU1JStHXrVklSbf+1dO211+rdd9/VhRdeqG+//VYWiyVgsRw+fFgpKSnatWuXxo4dqxkzZgQsFgAAQhHXTtWPayegdqPHFIAKjRgxQoZhaP/+/Xr//ffVoUMHSdIPP/ygPn36aO/eva6yS5culWEYMgzD5wurcPLtt9/q3XfflSTdcccdAb2wkqT69evrj3/8oyRp5syZ2rVrV0DjAQAglHHt5H9cOwG1H4kpAKcUExOjq6++Wp999pnatGkjSdq+fbumTp3qKlNRd/Q5c+aoS5cuatSokSIjI9WsWTNdeumluvPOO2UYhubMmSOLxeL6i58kt+7wknT06FHdcsstuvjii9W0aVNFRUWpQYMG+sMf/qC//e1vOnTokFu8ztempKRo1apVuvLKK9WgQQMlJibq9ttv12+//eZW3uFw6IUXXlCPHj105plnKioqSomJiRo4cKAKCgpc5X777TdNnDhRf/jDH9SgQQPVq1dPF154oZ544gkdO3bMq7Z87rnnJEl16tTR0KFD3falpKS41dtp5MiRru1Lly71WM/ly5erW7duqlevntq2bas5c+ZIkmbPnq127dqpQYMG6tSpk3JycsrFdNNNN0mSiouLNWvWLK/qAQAAKsa1k4lrJwBeMQCglAkTJhiSDEnGiBEjyu1/6qmnXPvbt2/v2t6zZ0/X9s2bNxuGYRiLFi1ybfP0r6SkxJg9e3alZQzDMPbt21dpmT59+rjF6Nxer149Izo6ulz5MWPGuMoWFxcbvXv3rvC916xZYxiGYezZs8c4//zzKyx3+eWXG8XFxads36SkJEOS0bFjx3L7WrVq5VZvpxEjRri2L1mypFw9GzRoYNSrV69cTNdff325bVFRUa7Px+n48ePGmWeeaUgyevTocco6AACAk7h24toJwOmhxxQAn7Rv3971eNOmTZWW/fTTT12PV6xYoWPHjqmgoECffvqp/u///k8REREaOXKkDMNQq1atXGWNE93ajRPzJdSrV0/z58/XL7/8ooMHD+rYsWP6+eefdfHFF0uSFi9erO+++67czz9y5IgGDRqkXbt2acWKFYqOjpYkvfLKK673fvbZZ/Xxxx9LkuLj4/Xuu+/q4MGD2rZtm2bMmKGYmBhJ0oQJE7RhwwbXaw4cOKD9+/frnnvukSR99tlnmjlzZqXtkZeXp7y8PEnSRRddVGlZXxw6dEh/+tOftH//fj399NOu7f/+97/1f//3fyoqKtJdd90lSTp27JgWLFjg9nqLxeJqyy+//LLWz1MBAEBN4tqJaycAlSMxBaDKTjXG/6yzznI9fvzxx/XMM89o5cqVOvvss/XUU08pIsK7X0HR0dE6evSoRowYoZYtW6pu3bo6++yz9c0337jKOC98SouIiNBzzz2nuLg4de3a1XVhePToUf3666+SpEWLFrnKP/HEE+rXr5/OOOMMJScna+zYsWrdunW5cmPHjlWjRo105pln6h//+Idr+4cfflhpPUp3bW/atKlXdfdGnTp19MQTTygmJkb9+vVzbY+MjFR2drYaNWqka6+91rXd08o/zniOHTumPXv2+C02AABwEtdOXDsBKK9OoAMAEFrWrl3reuycM6Eid9xxh1avXq0FCxbonXfe0TvvvOPa16tXL/3nP//RGWecccqfOWXKFN13332VlvG0DHN8fLwaN27set6gQQPX46NHj0qSCgsLXdsuvPDCCt/feTFWmd27d5+yjLcMw3BdvP7++++Vlm3evLmrHevVq+fa3qxZM9WvX1+SXH/xlE7WHQAAVD+unSrGtRMAiR5TAHxw4MABvfDCC67n1113XaXlo6Ki9Morr2jfvn1avny55s+frxtvvFGS9Mknn+jZZ591la3sL4jz5s1zPZ4+fboOHz4swzBks9kq/fmRkZFuzz39jPj4eNfjdevWVfhezZs3d73Hjh073LrMO/8tX7680ngSEhJcjz2t4FK3bl3X48OHD7se//zzz5W+b506nv/GUNF2T5zxREZGqkmTJl6/DgAAVIxrJ66dAJwaiSkAp1RUVKT3339fPXv2dHVlbtmypcaNG1fp69566y1Nnz5dmzdv1nnnnafBgwerd+/erv3btm1zPS79hV66m7nkfpFwxhlnyGKx6L///a/ee++906iVqfQF2gMPPKAPPvhAv/32m/Lz8/X8889r8+bNkqRBgwZJMv8aN2LECH3//fcqKSlRYWGhFi5cqL59++rVV1+t9GclJSUpMTHRYx0luS0V7VwWeeHChfriiy9Op4qnZBiGK55LL7004MswAwAQ6rh24toJgPdITAGo0Ny5c2WxWHTmmWeqX79+ri/gdu3a6aOPPnLr6u3J999/r6ysLF144YVq3Lix6tatq1GjRrn2X3PNNa7H3bt3dz3u0KGDLBaL0tLSJEkZGRmufaNGjVK9evVks9mUlJR02nW86667XBd8BQUFuuaaa9SwYUMlJSXpzjvvVFFRkSRp4sSJuuCCCyRJOTk5Ov/88xUVFaWEhAQNGTJEH330kY4fP37Kn+es89q1a7Vv3z63fX/84x9dj4cOHapGjRppyJAhbt3oq8M333yj/fv3S5LbPAsAAMA3XDtx7QTAdySmAFQqIiJCZ5xxhtq0aaNrrrlGL7/8stasWaN27dqd8rW9evXS8OHD1a5dO8XExCgiIkKNGzdWWlqa7Ha7+vfv7yqbnZ2tm266Sc2bNy/3V6f77rtPjzzyiFJSUhQdHa2LLrpIixYtUo8ePU67flFRUfrwww/13HPP6bLLLlNMTIwiIyOVkJCga6+91tUNPTY2Vl988YX+/ve/q0OHDmrQoIGio6PVqlUrXXnllZoyZYquvvrqU/68O++8U5LkcDj0xhtvuO278cYb9cwzz+jss89WdHS0WrZsqZkzZ7pdXFaH+fPnSzLbovTFLwAA8B3XTlw7AfCNxWBtSwCoUf3799d7772niy66SGvWrAlo9+/Dhw8rJSVFu3bt0tixYzVjxoyAxQIAAOAJ105A7UaPKQCoYVOnTlVUVJS+/fZb2e32gMby3HPPadeuXWrSpIkmTpwY0FgAAAA84doJqN3oMQUAAAAAAICAoMcUAAAAAAAAAoLEFAAAAAAAAAKCxBQAAAAAAAACgsQUAAAAAAAAAoLEFAAAAAAAAAKCxBQAAAAAAAACgsQUAAAAAAAAAoLEFAAAAAAAAAKCxBQAAAAAAAACgsQUAAAAAAAAAuL/AQamzJzm3wJKAAAAAElFTkSuQmCC", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x_Positions = positions[0].value\n", "z_Positions = positions[1].value\n", "x_Potential = U[:, np.where(z_Positions==0)[0][0]].value\n", "z_Potential = U[np.where(x_Positions==0)[0][0], :].value\n", "poptx, pcovx = p[0], p[1]\n", "poptz, pcovz = p[2], p[3]\n", "plotGaussianFit(x_Positions, x_Potential, poptx, pcovx)\n", "plotGaussianFit(z_Positions, z_Potential, poptz, pcovz)" ] }, { "cell_type": "markdown", "id": "5e5b8123", "metadata": {}, "source": [ "## Calculate relevant parameters for evaporative cooling" ] }, { "cell_type": "code", "execution_count": 7, "id": "95ab43bd", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Particle Density = 4.63E+13 1 / cm3\n", "Elastic Collision Rate = 2813.75 1 / s\n", "PSD = 9.00E-05 \n", "v_x = 2588.17 Hz\n", "v_y = 20.66 Hz\n", "v_z = 2588.17 Hz\n", "a_s = 111.31 \n" ] } ], "source": [ "Power = 40*u.W\n", "Wavelength = 1.064*u.um\n", "w_x, w_z = 30*u.um, 30*u.um # Beam Waists in the x and y directions\n", "\n", "AtomNumber = 1.00 * 1e7\n", "BField = 2.5 * u.G\n", "\n", "modulation_depth = 0.0\n", "Temperature = convert_modulation_depth_to_temperature(modulation_depth)[0] * u.uK\n", "n = particleDensity(w_x, w_z, Power, N = AtomNumber, T = Temperature).decompose().to(u.cm**(-3))\n", "Gamma_elastic = calculateElasticCollisionRate(w_x, w_z, Power, N = AtomNumber, T = Temperature, B = BField)\n", "PSD = calculatePSD(w_x, w_z, Power, N = AtomNumber, T = Temperature).decompose()\n", "\n", "print('Particle Density = %.2E ' % (n.value) + str(n.unit))\n", "print('Elastic Collision Rate = %.2f ' % (Gamma_elastic.value) + str(Gamma_elastic.unit))\n", "print('PSD = %.2E ' % (PSD.value))\n", "\n", "v_x = calculateTrapFrequency(w_x, w_z, Power, dir = 'x')\n", "v_y = calculateTrapFrequency(w_x, w_z, Power, dir = 'y')\n", "v_z = calculateTrapFrequency(w_x, w_z, Power, dir = 'z')\n", "\n", "print('v_x = %.2f ' %(v_x.value) + str(v_x.unit))\n", "print('v_y = %.2f ' %(v_y.value) + str(v_y.unit))\n", "print('v_z = %.2f ' %(v_z.value) + str(v_z.unit))\n", "\n", "print('a_s = %.2f ' %(scatteringLength(BField)[0] / ac.a0))" ] }, { "cell_type": "markdown", "id": "ff252fbe", "metadata": {}, "source": [ "## Plot alphas" ] }, { "cell_type": "code", "execution_count": 3, "id": "dd7fc03d", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plotAlphas()" ] }, { "cell_type": "markdown", "id": "c09cb260", "metadata": {}, "source": [ "## Plot Temperatures" ] }, { "cell_type": "code", "execution_count": 4, "id": "5c79840e", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plotTemperatures(w_x, w_z, plot_against_mod_depth = True)" ] }, { "cell_type": "markdown", "id": "063879ee", "metadata": {}, "source": [ "## Calculate and Plot calculated trap frequencies" ] }, { "cell_type": "code", "execution_count": 5, "id": "0ddff726", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "AtomNumber = 1.00 * 1e7\n", "BField = 1.4 * u.G\n", "Wavelength = 1.064*u.um\n", "w_x, w_z = 30*u.um, 30*u.um # Beam Waists in the x and y directions\n", "modulation_depth = np.arange(0, 1.0, 0.08)\n", "\n", "w_xs = w_x * convert_modulation_depth_to_alpha(modulation_depth)[0]\n", "new_aspect_ratio = w_xs / w_z\n", "\n", "v_x = np.zeros(len(modulation_depth))\n", "v_y = np.zeros(len(modulation_depth))\n", "v_z = np.zeros(len(modulation_depth))\n", "\n", "for i in range(len(modulation_depth)):\n", " v_x[i] = calculateTrapFrequency(w_xs[i], w_z, Power, dir = 'x').value\n", " v_y[i] = calculateTrapFrequency(w_xs[i], w_z, Power, dir = 'y').value\n", " v_z[i] = calculateTrapFrequency(w_xs[i], w_z, Power, dir = 'z').value\n", "\n", "plotTrapFrequencies(v_x, v_y, v_z, modulation_depth, new_aspect_ratio, plot_against_mod_depth = True)" ] }, { "cell_type": "markdown", "id": "76ff8301", "metadata": {}, "source": [ "## Plot measured trap frequencies" ] }, { "cell_type": "code", "execution_count": 6, "id": "7a85ec41", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "modulation_depth_radial = [0, 0.5, 0.3, 0.7, 0.9, 0.8, 1.0, 0.6, 0.4, 0.2, 0.1]\n", "fx = [3.135, 0.28, 0.690, 0.152, 0.102, 0.127, 0.099, 0.205, 0.404, 1.441, 2.813]\n", "dfx = [0.016, 0.006, 0.005, 0.006, 0.003, 0.002, 0.002,0.002, 0.003, 0.006, 0.024]\n", "fz = [2.746, 1.278, 1.719, 1.058, 0.923, 0.994, 0.911, 1.157, 1.446, 2.191, 2.643]\n", "dfz = [0.014, 0.007, 0.009, 0.007, 0.005, 0.004, 0.004, 0.005, 0.007, 0.009, 0.033]\n", "\n", "modulation_depth_axial = [1, 0.9, 0.8, 0.7, 0.6, 0.5, 0.4, 0.3, 0.2, 0.1]\n", "fy = [3.08, 3.13, 3.27, 3.46, 3.61, 3.82, 3.51, 3.15, 3.11, 3.02]\n", "dfy = [0.03, 0.04, 0.04, 0.05, 0.07, 0.06, 0.11, 0.07, 0.1, 1.31]\n", "\n", "plotMeasuredTrapFrequencies(fx, dfx, fy, dfy, fz, dfz, modulation_depth_radial, modulation_depth_axial, w_x, w_z, plot_against_mod_depth = True)" ] }, { "cell_type": "markdown", "id": "4a4843d2", "metadata": {}, "source": [ "## Plot ratio of measured to calculated trap frequencies" ] }, { "cell_type": "code", "execution_count": 7, "id": "58cf3f64", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "modulation_depth = [0.5, 0.3, 0.7, 0.9, 0.8, 1.0, 0.6, 0.4, 0.2, 0.1]\n", "w_xs = w_x * convert_modulation_depth_to_alpha(modulation_depth)[0]\n", "\n", "v_x = np.zeros(len(modulation_depth))\n", "v_y = np.zeros(len(modulation_depth))\n", "v_z = np.zeros(len(modulation_depth))\n", "\n", "for i in range(len(modulation_depth)):\n", " v_x[i] = calculateTrapFrequency(w_xs[i], w_z, Power, dir = 'x').value / 1e3\n", " v_y[i] = calculateTrapFrequency(w_xs[i], w_z, Power, dir = 'y').value\n", " v_z[i] = calculateTrapFrequency(w_xs[i], w_z, Power, dir = 'z').value / 1e3\n", "\n", "fx = [0.28, 0.690, 0.152, 0.102, 0.127, 0.099, 0.205, 0.404, 1.441, 2.813]\n", "dfx = [0.006, 0.005, 0.006, 0.003, 0.002, 0.002,0.002, 0.003, 0.006, 0.024]\n", "fy = [3.08, 3.13, 3.27, 3.46, 3.61, 3.82, 3.51, 3.15, 3.11, 3.02]\n", "dfy = [0.03, 0.04, 0.04, 0.05, 0.07, 0.06, 0.11, 0.07, 0.1, 1.31]\n", "fz = [1.278, 1.719, 1.058, 0.923, 0.994, 0.911, 1.157, 1.446, 2.191, 2.643]\n", "dfz = [0.007, 0.009, 0.007, 0.005, 0.004, 0.004, 0.005, 0.007, 0.009, 0.033]\n", "\n", "plotRatioOfTrapFrequencies(fx, fy, fz, dfx, dfy, dfz, v_x, v_y, v_z, modulation_depth, w_x, w_z, plot_against_mod_depth = True)\n" ] }, { "cell_type": "markdown", "id": "44e92099", "metadata": {}, "source": [ "## Plot Feshbach Resonances" ] }, { "cell_type": "code", "execution_count": 8, "id": "d15205ff", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plotScatteringLengths(B_range = [0, 3.6])" ] }, { "cell_type": "markdown", "id": "1a2e113f", "metadata": {}, "source": [ "## Calculate and Plot Collision Rates and PSD" ] }, { "cell_type": "code", "execution_count": 9, "id": "86e9ba21", "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "AtomNumber = 1.00 * 1e7\n", "BField = 1.4 * u.G\n", "Power = 40*u.W\n", "Wavelength = 1.064*u.um\n", "w_x, w_z = 30*u.um, 30*u.um # Beam Waists in the x and y directions\n", "modulation_depth = np.arange(0, 1.0, 0.08)\n", "\n", "w_xs = w_x * convert_modulation_depth_to_alpha(modulation_depth)[0]\n", "new_aspect_ratio = w_xs / w_z\n", "Temperatures = convert_modulation_depth_to_temperature(modulation_depth)[0] * u.uK\n", "\n", "# n = np.zeros(len(modulation_depth))\n", "Gamma_elastic = np.zeros(len(modulation_depth))\n", "PSD = np.zeros(len(modulation_depth))\n", "\n", "for i in range(len(modulation_depth)):\n", " # n[i] = particleDensity(w_xs[i], w_z, Power, N = AtomNumber, T = Temperatures[i]).decompose().to(u.cm**(-3))\n", " Gamma_elastic[i] = calculateElasticCollisionRate(w_xs[i], w_z, Power, N = AtomNumber, T = Temperatures[i], B = BField).value\n", " PSD[i] = calculatePSD(w_xs[i], w_z, Power, N = AtomNumber, T = Temperatures[i]).decompose().value\n", "\n", "\n", "plotCollisionRatesAndPSD(Gamma_elastic, PSD, modulation_depth, new_aspect_ratio, plot_against_mod_depth = True)" ] }, { "cell_type": "markdown", "id": "74d353c9", "metadata": {}, "source": [ "## Plot Collision Rates and PSD from only measured trap frequencies" ] }, { "cell_type": "code", "execution_count": 10, "id": "6c81d9da", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "AtomNumber = 1.00 * 1e7\n", "BField = 1.4 * u.G\n", "Wavelength = 1.064*u.um\n", "w_x, w_z = 30*u.um, 30*u.um # Beam Waists in the x and y directions\n", "\n", "fin_mod_depth = [0.5, 0.3, 0.7, 0.9, 0.8, 1.0, 0.6, 0.4, 0.2, 0.1]\n", "v_x = [0.28, 0.690, 0.152, 0.102, 0.127, 0.099, 0.205, 0.404, 1.441, 2.813] * u.kHz\n", "dv_x = [0.006, 0.005, 0.006, 0.003, 0.002, 0.002,0.002, 0.003, 0.006, 0.024] * u.kHz\n", "v_z = [1.278, 1.719, 1.058, 0.923, 0.994, 0.911, 1.157, 1.446, 2.191, 2.643] * u.kHz\n", "dv_z = [0.007, 0.009, 0.007, 0.005, 0.004, 0.004, 0.005, 0.007, 0.009, 0.033] * u.kHz\n", "sorted_modulation_depth, sorted_v_x = zip(*sorted(zip(fin_mod_depth, v_x)))\n", "sorted_modulation_depth, sorted_dv_x = zip(*sorted(zip(fin_mod_depth, dv_x)))\n", "sorted_modulation_depth, sorted_v_z = zip(*sorted(zip(fin_mod_depth, v_z)))\n", "sorted_modulation_depth, sorted_dv_z = zip(*sorted(zip(fin_mod_depth, dv_z)))\n", "\n", "fin_mod_depth = [1, 0.9, 0.8, 0.7, 0.6, 0.5, 0.4, 0.3, 0.2, 0.1] \n", "v_y = [3.08, 3.13, 3.27, 3.46, 3.61, 3.82, 3.51, 3.15, 3.11, 3.02] * u.Hz\n", "dv_y = [0.03, 0.04, 0.04, 0.05, 0.07, 0.06, 0.11, 0.07, 0.1, 1.31] * u.Hz\n", "sorted_modulation_depth, sorted_v_y = zip(*sorted(zip(fin_mod_depth, v_y)))\n", "sorted_modulation_depth, sorted_dv_y = zip(*sorted(zip(fin_mod_depth, dv_y)))\n", "\n", "fin_mod_depth = [1.0, 0.8, 0.6, 0.4, 0.2, 0.9, 0.7, 0.5, 0.3, 0.1]\n", "T_x = [22.1, 27.9, 31.7, 42.2, 145.8, 27.9, 33.8, 42.4, 61.9, 136.1] * u.uK\n", "dT_x = [1.7, 2.6, 2.4, 3.7, 1.1, 2.2, 3.2, 1.7, 2.2, 1.2] * u.uK\n", "T_y = [13.13, 14.75, 18.44, 26.31, 52.55, 13.54, 16.11, 21.15, 35.81, 85.8] * u.uK\n", "dT_y = [0.05, 0.05, 0.07, 0.16, 0.28, 0.04, 0.07, 0.10, 0.21, 0.8] * u.uK\n", "\n", "sorted_modulation_depth, sorted_T_x = zip(*sorted(zip(fin_mod_depth, T_x)))\n", "sorted_modulation_depth, sorted_dT_x = zip(*sorted(zip(fin_mod_depth, dT_x)))\n", "sorted_modulation_depth, sorted_T_y = zip(*sorted(zip(fin_mod_depth, T_y)))\n", "sorted_modulation_depth, sorted_dT_y = zip(*sorted(zip(fin_mod_depth, dT_y)))\n", "\n", "modulation_depth = sorted_modulation_depth\n", "\n", "pd, dpd, T, dT, new_aspect_ratio = calculateParticleDensityFromMeasurements(sorted_v_x, sorted_dv_x, sorted_v_y, sorted_dv_y, sorted_v_z, sorted_dv_z, w_x, w_z, sorted_T_x, sorted_T_y, sorted_dT_x, sorted_dT_y, sorted_modulation_depth, AtomNumber, m = 164*u.u)\n", "\n", "Gamma_elastic = [(pd[i] * scatteringCrossSection(BField) * meanThermalVelocity(T[i]) / (2 * np.sqrt(2))).decompose() for i in range(len(pd))]\n", "Gamma_elastic_values = [(Gamma_elastic[i]).value for i in range(len(Gamma_elastic))]\n", "dGamma_elastic = [(Gamma_elastic[i] * ((dpd[i]/pd[i]) + (dT[i]/(2*T[i])))).decompose() for i in range(len(Gamma_elastic))]\n", "dGamma_elastic_values = [(dGamma_elastic[i]).value for i in range(len(dGamma_elastic))]\n", "\n", "PSD = [((pd[i] * thermaldeBroglieWavelength(T[i])**3).decompose()).value for i in range(len(pd))]\n", "dPSD = [((PSD[i] * ((dpd[i]/pd[i]) - (1.5 * dT[i]/T[i]))).decompose()).value for i in range(len(Gamma_elastic))]\n", "\n", "fig, ax1 = plt.subplots(figsize=(8, 6))\n", "ax2 = ax1.twinx()\n", "ax1.errorbar(modulation_depth, Gamma_elastic_values, yerr = dGamma_elastic_values, fmt = 'ob', markersize=5, capsize=5)\n", "ax2.errorbar(modulation_depth, PSD, yerr = dPSD, fmt = '-^r', markersize=5, capsize=5)\n", "ax2.yaxis.set_major_formatter(mtick.FormatStrFormatter('%.1e'))\n", "ax1.set_xlabel('Modulation depth', fontsize= 12, fontweight='bold')\n", "ax1.set_ylabel('Elastic Collision Rate (' + str(Gamma_elastic[0].unit) + ')', fontsize= 12, fontweight='bold')\n", "ax1.tick_params(axis=\"y\", labelcolor='b')\n", "ax2.set_ylabel('Phase Space Density', fontsize= 12, fontweight='bold')\n", "ax2.tick_params(axis=\"y\", labelcolor='r')\n", "plt.tight_layout()\n", "plt.grid(visible=1)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "9329ee37", "metadata": {}, "source": [ "## Investigate deviation in alpha" ] }, { "cell_type": "code", "execution_count": 11, "id": "7b8191f2", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\Karthik\\anaconda3\\envs\\Py39VEnv\\lib\\site-packages\\scipy\\optimize\\_minpack_py.py:1010: OptimizeWarning: Covariance of the parameters could not be estimated\n", " warnings.warn('Covariance of the parameters could not be estimated',\n" ] }, { "data": { "image/png": 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Power = 40*u.W\n", "Wavelength = 1.064*u.um\n", "w_x, w_z = 30*u.um, 30*u.um\n", "\n", "options = {\n", " 'axis': 0, # axis referenced to the beam along which you want the dipole trap potential\n", " 'extent': 3e2, # range of spatial coordinates in one direction to calculate trap potential over\n", " 'crossed': False,\n", " 'delta': 70, # angle between arms in degrees\n", " 'modulation': False,\n", " 'aspect_ratio': 5, # required aspect ratio of modulated arm\n", " 'gravity': True,\n", " 'tilt_gravity': False,\n", " 'theta': 0.75, # gravity tilt angle in degrees\n", " 'tilt_axis': [1, 0, 0], # lab space coordinates are rotated about x-axis in reference frame of beam\n", " 'astigmatism': True,\n", " 'foci_disp_single': 2.5*u.mm, #0.9 * z_R(w_0 = np.asarray([30]), lamb = 1.064)[0]*u.um, # difference in position of the foci along the propagation direction\n", " 'foci_disp_crossed': [2.5*u.mm, 1.5*u.mm], # astigmatism of each of the two beams in the cODT\n", " 'foci_shift': [0.0*u.mm, 0.0*u.mm],\n", " 'beam_disp': [[0.0, 0.0, 0.0]*u.mm, [0, 0, 0.03]*u.mm],\n", " 'extract_trap_frequencies': False # Flag to extract trap frequencies by fitting the computed potential\n", "}\n", "\n", "modulation_depth = np.arange(0, 1.1, 0.1)\n", "Alphas, fin_mod_dep, meas_alpha_x, meas_alpha_z, dalpha_x, dalpha_z = convert_modulation_depth_to_alpha(modulation_depth) \n", "meas_alpha_deviation = [(g - h) for g, h in zip(meas_alpha_x, meas_alpha_z)]\n", "sorted_fin_mod_dep, sorted_meas_alpha_deviation = zip(*sorted(zip(fin_mod_dep, meas_alpha_deviation)))\n", "avg_alpha = [(g + h) / 2 for g, h in zip(meas_alpha_x, meas_alpha_z)]\n", "sorted_fin_mod_dep, new_aspect_ratio = zip(*sorted(zip(fin_mod_dep, (w_x * avg_alpha) / w_z)))\n", "\n", "current_ar = w_x/w_z\n", "aspect_ratio = np.arange(current_ar, 10*current_ar, 0.8)\n", "w_x = w_x * (aspect_ratio / current_ar)\n", "\n", "v_x = np.zeros(len(w_x))\n", "#v_y = np.zeros(len(w_x))\n", "v_z = np.zeros(len(w_x))\n", "\n", "for i in range(len(w_x)):\n", " \n", " options['axis'] = 0\n", " ExtractedTrapFrequencies = computeTrapPotential(w_x[i], w_z, Power, options)[5]\n", " tmp = ExtractedTrapFrequencies[0][0]\n", " v_x[i] = tmp if not np.isinf(tmp) else np.nan\n", " \n", " # options['axis'] = 1\n", " # ExtractedTrapFrequencies = computeTrapPotential(w_x[i], w_z, Power, options)[5]\n", " # tmp = ExtractedTrapFrequencies[1][0]\n", " # v_y[i] = tmp if not np.isinf(tmp) else np.nan\n", " \n", " options['axis'] = 2\n", " ExtractedTrapFrequencies = computeTrapPotential(w_x[i], w_z, Power, options)[5]\n", " tmp = ExtractedTrapFrequencies[0][0]\n", " v_z[i] = tmp if not np.isinf(tmp) else np.nan\n", "\n", " #v_x[i] = calculateTrapFrequency(w_x[i], w_z, Power, dir = 'x').value\n", " #v_y[i] = calculateTrapFrequency(w_x[i], w_z, Power, dir = 'y').value\n", " #v_z[i] = calculateTrapFrequency(w_x[i], w_z, Power, dir = 'z').value\n", "\n", "alpha_x = [(v_x[0]/v)**(2/3) for v in v_x]\n", "alpha_z = [(v_z[0]/v)**2 for v in v_z]\n", "\n", "calc_alpha_deviation = [(g - h) for g, h in zip(alpha_x, alpha_z)]\n", "\n", "plt.figure()\n", "plt.plot(aspect_ratio, alpha_x, '-o', label = 'From horz TF')\n", "plt.plot(aspect_ratio, alpha_z, '-^', label = 'From vert TF')\n", "plt.xlabel('Aspect Ratio', fontsize= 12, fontweight='bold')\n", "plt.ylabel('$\\\\alpha$', fontsize= 12, fontweight='bold')\n", "plt.tight_layout()\n", "plt.grid(visible=1)\n", "plt.legend(prop={'size': 12, 'weight': 'bold'})\n", "plt.show()\n", "\n", "plt.figure()\n", "plt.plot(aspect_ratio, calc_alpha_deviation, '--ob', label = 'Extracted')\n", "plt.plot(new_aspect_ratio, sorted_meas_alpha_deviation, '-or', label = 'Measured')\n", "plt.xlabel('Aspect Ratio', fontsize= 12, fontweight='bold')\n", "plt.ylabel('$\\\\Delta \\\\alpha$', fontsize= 12, fontweight='bold')\n", "plt.ylim([-0.5, 1])\n", "plt.tight_layout()\n", "plt.grid(visible=1)\n", "plt.legend(prop={'size': 12, 'weight': 'bold'})\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "29a1cf87", "metadata": {}, "source": [ "## Quick calculation of PSD and elastic collision rate" ] }, { "cell_type": "code", "execution_count": 12, "id": "3950f1b5", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Particle Density = 1.87E+12 1 / cm3\n", "Elastic Collision Rate = 37.24 1 / s\n", "PSD = 2.50E-05 \n" ] } ], "source": [ "Power = 9.5*u.W\n", "Wavelength = 1.064*u.um\n", "w_x, w_z = 50*u.um, 45*u.um # Beam Waists in the x and y directions\n", "\n", "NCount = 11000\n", "AtomNumber = calculateAtomNumber(NCount, pixel_size = 3.45 * u.um, magnification = 0.5, eta = 0.5)\n", "#AtomNumber = calculateAtomNumber(NCount, pixel_size = 5.86 * u.um, magnification = 0.5, eta = 0.5)\n", "\n", "BField = 3.75 * u.G\n", "modulation_depth = 0.00\n", "\n", "w_x = w_x * convert_modulation_depth_to_alpha(modulation_depth)[0]\n", "new_aspect_ratio = w_x / w_z\n", "Temperature = 33 * u.uK\n", "\n", "n = particleDensity(w_x, w_z, Power, N = AtomNumber, T = Temperature).decompose().to(u.cm**(-3))\n", "Gamma_elastic = calculateElasticCollisionRate(w_x, w_z, Power, N = AtomNumber, T = Temperature, B = BField)\n", "PSD = calculatePSD(w_x, w_z, Power, N = AtomNumber, T = Temperature).decompose()\n", "\n", "print('Particle Density = %.2E ' % (n.value) + str(n.unit))\n", "print('Elastic Collision Rate = %.2f ' % (Gamma_elastic.value) + str(Gamma_elastic.unit))\n", "print('PSD = %.2E ' % (PSD.value))" ] }, { "cell_type": "markdown", "id": "d975586b", "metadata": {}, "source": [ "## Plot measured PSDs and collision rates" ] }, { "cell_type": "code", "execution_count": 13, "id": "b11b6aae", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Gamma_elastic = [96.01, 82.53, 102.95, 143.5, 110.92, 471.77, 908.46]\n", "PSD = [8.95e-05, 4.19e-04, 2.94e-04, 2.17e-04, 8.98e-04, 5.52e-04, 6.10e-04]\n", "\n", "fig, ax1 = plt.subplots(figsize=(8, 6))\n", "ax2 = ax1.twinx()\n", "\n", "ax1.plot(Gamma_elastic, '-ob')\n", "ax2.plot(PSD, '-*r')\n", "ax2.yaxis.set_major_formatter(mtick.FormatStrFormatter('%.1e'))\n", "\n", "ax1.set_xlabel('Optimization Steps', fontsize= 12, fontweight='bold')\n", "ax1.set_ylabel('Elastic Collision Rate', fontsize= 12, fontweight='bold')\n", "ax1.tick_params(axis=\"y\", labelcolor='b')\n", "ax2.set_ylabel('Phase Space Density', fontsize= 12, fontweight='bold')\n", "ax2.tick_params(axis=\"y\", labelcolor='r')\n", "plt.tight_layout()\n", "plt.grid(visible=1)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "da1a3346", "metadata": {}, "source": [ "## Plot crossed beam trap potential resulting for given parameters only" ] }, { "cell_type": "code", "execution_count": 14, "id": "f17a4d01", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Powers = [1, 11] * u.W\n", "Wavelength = 1.064*u.um\n", "w_x = [27, 67]*u.um # Beam Waists in the x direction\n", "w_z = [31, 67]*u.um # Beam Waists in the y direction\n", "\n", "options = {\n", " 'axis':2, # axis referenced to the beam along which you want the dipole trap potential\n", " 'extent': 3e2, # range of spatial coordinates in one direction to calculate trap potential over\n", " 'crossed': True, # Flag for either a crossed beam configuration or a single focussed beam\n", " 'delta': 70, # angle between arms in degrees\n", " 'modulation': False, # Flag for spatial modulation of a single beam\n", " 'aspect_ratio': 5, # required aspect ratio of modulated arm\n", " 'gravity': False, # Flag for adding levitation/gravitation potential\n", " 'tilt_gravity': False, # Flag for tilt of the beam wrt to gravity axis\n", " 'theta': 0.75, # gravity tilt angle in degrees\n", " 'tilt_axis': [1, 0, 0], # lab space coordinates are rotated about x-axis in reference frame of beam\n", " 'astigmatism': False, # Flag for astigmatism of beam\n", " 'foci_disp_single': 2.5*u.mm, #0.9 * z_R(w_0 = np.asarray([30]), lamb = 1.064)[0]*u.um, # difference in position of the foci along the propagation direction\n", " 'foci_disp_crossed': [2.5*u.mm, 2.8*u.mm], # astigmatism of each of the two beams in the cODT\n", " 'foci_shift': [0.0*u.mm, 0.0*u.mm],\n", " 'beam_disp': [[0.0, 0.0, 0.05]*u.mm, [0.0, 0.0, 0.0]*u.mm], # shift arm 1 along x, z; shift arm 2 along y, z\n", " 'extract_trap_frequencies': True # Flag to extract trap frequencies by fitting the computed potential\n", "}\n", "\n", "Positions, IdealTrappingPotential, TrappingPotential, TrapDepthsInKelvin, CalculatedTrapFrequencies, ExtractedTrapFrequencies = computeTrapPotential(w_x, w_z, Powers, options)\n", "\n", "EffectiveTrapDepthInKelvin = TrapDepthsInKelvin[1]\n", "v = ExtractedTrapFrequencies[1][0]\n", "dv = ExtractedTrapFrequencies[1][1]\n", "\n", "plt.figure(figsize=(9, 7))\n", "plt.plot(Positions[options['axis']], TrappingPotential[options['axis']], label = 'Effective Trap Depth = ' + str(round(EffectiveTrapDepthInKelvin.value, 2)) + ' ' + str(EffectiveTrapDepthInKelvin.unit) + '; ' + generate_label(v, dv)) \n", "#plt.plot(Positions[options['axis']], TrappingPotential[options['axis']]) \n", "axis = options['axis']\n", "if axis == 0:\n", " dir = 'X - Horizontal'\n", "elif axis == 1:\n", " dir = 'Y - Propagation'\n", "else:\n", " dir = 'Z - Vertical'\n", " \n", "plt.ylim(top = 0)\n", "plt.xlabel(dir + ' Direction (um)', fontsize= 12, fontweight='bold')\n", "plt.ylabel('Trap Potential (uK)', fontsize= 12, fontweight='bold')\n", "plt.tight_layout()\n", "plt.grid(visible=1)\n", "plt.legend(loc=1, prop={'size': 12, 'weight': 'bold'})" ] }, { "cell_type": "markdown", "id": "1a28b820", "metadata": {}, "source": [ "## Calculate trap frequencies in a crossed beam trap for given parameters" ] }, { "cell_type": "code", "execution_count": 15, "id": "09149423", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "v_x = 480.60 Hz\n", "v_y = 255.73 Hz\n", "v_z = 492.63 Hz\n" ] } ], "source": [ "Powers = [1, 11] * u.W\n", "w_x = [27, 67]*u.um # Beam Waists in the x direction\n", "w_z = [31, 67]*u.um # Beam Waists in the y direction\n", "\n", "options = {\n", " 'axis': 1, # axis referenced to the beam along which you want the dipole trap potential\n", " 'extent': 1e3, # range of spatial coordinates in one direction to calculate trap potential over\n", " 'crossed': True, # Flag for either a crossed beam configuration or a single focussed beam\n", " 'delta': 70, # angle between arms in degrees\n", " 'modulation': False, # Flag for spatial modulation of a single beam\n", " 'aspect_ratio': 5, # required aspect ratio of modulated arm\n", " 'gravity': False, # Flag for adding levitation/gravitation potential\n", " 'tilt_gravity': False, # Flag for tilt of the beam wrt to gravity axis\n", " 'theta': 0.75, # gravity tilt angle in degrees\n", " 'tilt_axis': [1, 0, 0], # lab space coordinates are rotated about x-axis in reference frame of beam\n", " 'astigmatism': False, # Flag for astigmatism of beam\n", " 'foci_disp_single': 2.5*u.mm, #0.9 * z_R(w_0 = np.asarray([30]), lamb = 1.064)[0]*u.um, # difference in position of the foci along the propagation direction\n", " 'foci_disp_crossed': [2.5*u.mm, 1.5*u.mm], # astigmatism of each of the two beams in the cODT\n", " 'foci_shift': [0.01*u.mm, 0.20*u.mm],\n", " 'beam_disp': [[0, 0, 0.0]*u.mm, [0, 0, 0.0]*u.mm],\n", " 'extract_trap_frequencies': False # Flag to extract trap frequencies by fitting the computed potential\n", "}\n", "\n", "v_x = calculateCrossedBeamTrapFrequency(options['delta'], [w_x, w_z], Powers, dir = 'x')\n", "v_y = calculateCrossedBeamTrapFrequency(options['delta'], [w_x, w_z], Powers, dir = 'y')\n", "v_z = calculateCrossedBeamTrapFrequency(options['delta'], [w_x, w_z], Powers, dir = 'z')\n", "\n", "print('v_x = %.2f ' %(v_x.value) + str(v_x.unit))\n", "print('v_y = %.2f ' %(v_y.value) + str(v_y.unit))\n", "print('v_z = %.2f ' %(v_z.value) + str(v_z.unit))" ] }, { "cell_type": "markdown", "id": "3cf7eb64", "metadata": {}, "source": [ "## Calculate trap frequencies, trap depths in a crossed beam trap for different shifts of Arm 2 along Y and Z" ] }, { "cell_type": "code", "execution_count": null, "id": "fc585c24", "metadata": { "scrolled": false }, "outputs": [], "source": [ "Powers = [1, 11] * u.W\n", "Wavelength = 1.064*u.um\n", "w_x = [27, 67]*u.um # Beam Waists in the x direction\n", "w_z = [31, 67]*u.um # Beam Waists in the y direction\n", "\n", "options = {\n", " 'axis':1, # axis referenced to the beam along which you want the dipole trap potential\n", " 'extent': 2e3, # range of spatial coordinates in one direction to calculate trap potential over\n", " 'crossed': True, # Flag for either a crossed beam configuration or a single focussed beam\n", " 'delta': 70, # angle between arms in degrees\n", " 'modulation': False, # Flag for spatial modulation of a single beam\n", " 'aspect_ratio': 5, # required aspect ratio of modulated arm\n", " 'gravity': False, # Flag for adding levitation/gravitation potential\n", " 'tilt_gravity': False, # Flag for tilt of the beam wrt to gravity axis\n", " 'theta': 0.75, # gravity tilt angle in degrees\n", " 'tilt_axis': [1, 0, 0], # lab space coordinates are rotated about x-axis in reference frame of beam\n", " 'astigmatism': False, # Flag for astigmatism of beam\n", " 'foci_disp_single': 2.5*u.mm, #0.9 * z_R(w_0 = np.asarray([30]), lamb = 1.064)[0]*u.um, # difference in position of the foci along the propagation direction\n", " 'foci_disp_crossed': [2.5*u.mm, 2.8*u.mm], # astigmatism of each of the two beams in the cODT\n", " 'foci_shift': [0.0*u.mm, 0.0*u.mm],\n", " 'beam_disp': [[0.0, 0.0, 0.0]*u.mm, [0.0, 0.0, 0.0]*u.mm],\n", " 'extract_trap_frequencies': True # Flag to extract trap frequencies by fitting the computed potential\n", "}\n", "\n", "disp_range = 100\n", "yvals = np.arange(-disp_range, disp_range, 5) \n", "zvals = np.arange(-disp_range, disp_range, 5)\n", "\n", "TrapDepths = np.zeros((len(yvals), len(zvals))) * u.uK\n", "TrapFrequencies = np.zeros((len(yvals), len(zvals)))\n", "\n", "idx = 0\n", "if options['extract_trap_frequencies']:\n", " idx = 1\n", " \n", "for i in range(len(yvals)):\n", " options['beam_disp'][1][1] = yvals[i] * u.um\n", " for j in range(len(zvals)):\n", " options['beam_disp'][1][2] = zvals[j] * u.um\n", " Positions, IdealTrappingPotential, TrappingPotential, TrapDepthsInKelvin, CalculatedTrapFrequencies, ExtractedTrapFrequencies = computeTrapPotential(w_x, w_z, Powers, options)\n", " TrapDepths[i][j] = TrapDepthsInKelvin[1] \n", " try:\n", " if np.isnan(ExtractedTrapFrequencies[idx][0].value):\n", " TrapFrequencies[i][j] = np.nan\n", " else:\n", " TrapFrequencies[i][j] = ExtractedTrapFrequencies[idx][0] \n", " except:\n", " TrapFrequencies[i][j] = ExtractedTrapFrequencies[idx][0] " ] }, { "cell_type": "code", "execution_count": null, "id": "e060601f", "metadata": { "scrolled": false }, "outputs": [], "source": [ "fig, ax = plt.subplots()\n", "axis = options['axis']\n", "if axis == 0:\n", " dir = 'X'\n", "elif axis == 1:\n", " dir = 'Y'\n", "else:\n", " dir = 'Z'\n", "plt.title('Trap Frequency along ' + dir)\n", "c = ax.matshow(np.asarray(TrapFrequencies), origin='lower', cmap = 'coolwarm', aspect = 1)\n", "x_pos = np.arange(len(zvals))\n", "plt.xticks(x_pos, zvals)\n", "#plt.xticks(np.arange(min(zvals.value), max(zvals.value), 30))\n", "ax.xaxis.set_ticks_position('bottom')\n", "y_pos = np.arange(len(yvals))\n", "plt.yticks(y_pos, yvals)\n", "#plt.yticks(np.arange(min(yvals.value), max(yvals.value), 30))\n", "plt.xlabel('Z - shift (um)', fontsize= 12, fontweight='bold')\n", "plt.ylabel('Y - shift (um)', fontsize= 12, fontweight='bold')\n", "plt.setp(ax.get_xticklabels(), rotation=45, horizontalalignment='right')\n", "fig.colorbar(c, ax = ax)\n", "plt.tight_layout()\n", "plt.grid(visible=1)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "1fe6e6de", "metadata": {}, "source": [ "## Calculate trap frequencies, trap depths in a crossed beam trap for different shifts of Arm 1 along X and Z" ] }, { "cell_type": "code", "execution_count": null, "id": "faf6d746", "metadata": {}, "outputs": [], "source": [ "Powers = [1, 11] * u.W\n", "Wavelength = 1.064*u.um\n", "w_x = [27, 67]*u.um # Beam Waists in the x direction\n", "w_z = [31, 67]*u.um # Beam Waists in the y direction\n", "\n", "options = {\n", " 'axis':2, # axis referenced to the beam along which you want the dipole trap potential\n", " 'extent': 3e3, # range of spatial coordinates in one direction to calculate trap potential over\n", " 'crossed': True, # Flag for either a crossed beam configuration or a single focussed beam\n", " 'delta': 70, # angle between arms in degrees\n", " 'modulation': False, # Flag for spatial modulation of a single beam\n", " 'aspect_ratio': 5, # required aspect ratio of modulated arm\n", " 'gravity': False, # Flag for adding levitation/gravitation potential\n", " 'tilt_gravity': False, # Flag for tilt of the beam wrt to gravity axis\n", " 'theta': 0.75, # gravity tilt angle in degrees\n", " 'tilt_axis': [1, 0, 0], # lab space coordinates are rotated about x-axis in reference frame of beam\n", " 'astigmatism': False, # Flag for astigmatism of beam\n", " 'foci_disp_single': 2.5*u.mm, #0.9 * z_R(w_0 = np.asarray([30]), lamb = 1.064)[0]*u.um, # difference in position of the foci along the propagation direction\n", " 'foci_disp_crossed': [2.5*u.mm, 2.8*u.mm], # astigmatism of each of the two beams in the cODT\n", " 'foci_shift': [0.0*u.mm, 0.0*u.mm],\n", " 'beam_disp': [[0.0, 0.0, 0.0]*u.mm, [0.0, 0.0, 0.0]*u.mm],\n", " 'extract_trap_frequencies': True # Flag to extract trap frequencies by fitting the computed potential\n", "}\n", "\n", "disp_range = 100\n", "xvals = np.arange(-disp_range, disp_range, 5) \n", "zvals = np.arange(-disp_range, disp_range, 5)\n", "\n", "TrapDepths = np.zeros((len(xvals), len(zvals))) * u.uK\n", "TrapFrequencies = np.zeros((len(xvals), len(zvals)))\n", "\n", "idx = 0\n", "if options['extract_trap_frequencies']:\n", " idx = 1\n", " \n", "for i in range(len(xvals)):\n", " options['beam_disp'][0][0] = xvals[i] * u.um\n", " for j in range(len(zvals)):\n", " options['beam_disp'][0][2] = zvals[j] * u.um\n", " Positions, IdealTrappingPotential, TrappingPotential, TrapDepthsInKelvin, CalculatedTrapFrequencies, ExtractedTrapFrequencies = computeTrapPotential(w_x, w_z, Powers, options)\n", " TrapDepths[i][j] = TrapDepthsInKelvin[1] \n", " try:\n", " if np.isnan(ExtractedTrapFrequencies[idx][0].value):\n", " TrapFrequencies[i][j] = np.nan\n", " else:\n", " TrapFrequencies[i][j] = ExtractedTrapFrequencies[idx][0] \n", " except:\n", " TrapFrequencies[i][j] = ExtractedTrapFrequencies[idx][0] " ] }, { "cell_type": "code", "execution_count": null, "id": "387ec0a1", "metadata": {}, "outputs": [], "source": [ "fig, ax = plt.subplots()\n", "axis = options['axis']\n", "if axis == 0:\n", " dir = 'X'\n", "elif axis == 1:\n", " dir = 'Y'\n", "else:\n", " dir = 'Z'\n", "plt.title('Trap Frequency along ' + dir)\n", "\n", "c = ax.matshow(np.asarray(TrapFrequencies), origin='lower', cmap = 'coolwarm', aspect = 1)\n", "\n", "x_pos = np.arange(len(zvals))\n", "plt.xticks(x_pos, zvals)\n", "#plt.xticks(np.arange(min(zvals.value), max(zvals.value), 30))\n", "ax.xaxis.set_ticks_position('bottom')\n", "x_pos = np.arange(len(xvals))\n", "plt.yticks(x_pos, xvals)\n", "#plt.yticks(np.arange(min(yvals.value), max(yvals.value), 30))\n", "plt.xlabel('Z - shift (um)', fontsize= 12, fontweight='bold')\n", "plt.ylabel('X - shift (um)', fontsize= 12, fontweight='bold')\n", "plt.setp(ax.get_xticklabels(), rotation=45, horizontalalignment='right')\n", "fig.colorbar(c, ax = ax)\n", "plt.tight_layout()\n", "plt.grid(visible=1)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "bc9b993e", "metadata": {}, "source": [ "# Heating Rate in ODT Arm 1" ] }, { "cell_type": "code", "execution_count": null, "id": "8cc8af09", "metadata": {}, "outputs": [], "source": [ "w_x = 27 * u.um\n", "w_y = 31 * u.um\n", "P = 2.29 * u.W\n", "linewidth = 32.2 * u.MHz\n", "detuning = 4.3e+14 * u.Hz \n", "\n", "HeatingRate, T_recoil, Gamma_sr, U = calculateHeatingRate(w_x, w_y, P, linewidth, detuning, wavelength = 1.064*u.um)\n", "\n", "print((U/ac.k_B).to(u.uK))\n", "print(Gamma_sr)\n", "print(HeatingRate.to(u.nK/u.s))" ] }, { "cell_type": "code", "execution_count": null, "id": "56bef045", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.12" } }, "nbformat": 4, "nbformat_minor": 5 }