LennartNaeve_code/merging_tweezer_code/fermions/2025_06_30 (nice example in 3D).ipynb
2025-07-17 19:00:05 +02:00

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{
"cells": [
{
"cell_type": "code",
"execution_count": 11,
"id": "bf2e25af",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"omega_r1: 2126.5Hz, omega_r2: 2126.5Hz\n",
"omega_z1: 231.5Hz, omega_z2: 231.5Hz\n",
"eta = 9.186412090177072\n"
]
}
],
"source": [
"from helpers_merging import *\n",
"\n",
"initial_power = 50* si.uW\n",
"initial_waist = 1.1*si.um\n",
"initial_distance = 3*si.um\n",
"\n",
"trap: DoubleTweezer = DoubleTweezer(\n",
" power=0, # Set pancake laser power to 0, no 2D trap\n",
" grad_z= 0*si.G/si.cm,\n",
" grad_r=0,\n",
" power_tweezer1 = initial_power, #stationary\n",
" power_tweezer2 = initial_power, #transfer tweezer\n",
" waist_tweezer1 = initial_waist, #stationary\n",
" waist_tweezer2 = initial_waist, #transfer tweezer\n",
" distance_tweezers = initial_distance,\n",
"\n",
" a=180*(4 * np.pi * const.epsilon_0 * const.value(\"Bohr radius\")**3)/(2 * const.epsilon_0 * const.c),\n",
" wvl = 532 * si.nm,\n",
"\n",
" g = 0,\n",
")\n",
"\n",
"x, y, z = trap.x, trap.y, trap.z\n",
"\n",
"\n",
"omega_z1 = sp.sqrt(4*trap.power_tweezer1*trap.a/sp.pi**3/trap.m) * trap.wvl/trap.waist_tweezer1**3\n",
"omega_z2 = sp.sqrt(4*trap.power_tweezer2*trap.a/sp.pi**3/trap.m) * trap.wvl/trap.waist_tweezer2**3\n",
"\n",
"omega_r1 = sp.sqrt(2*trap.power_tweezer1*trap.a/sp.pi/trap.m) * 2/trap.waist_tweezer1**2\n",
"omega_r2 = sp.sqrt(2*trap.power_tweezer2*trap.a/sp.pi/trap.m) * 2/trap.waist_tweezer2**2\n",
"\n",
"print(f\"omega_r1: {float(trap.subs(omega_r1)/2/np.pi):.1f}Hz, omega_r2: {float(trap.subs(omega_r2)/2/np.pi):.1f}Hz\")\n",
"print(f\"omega_z1: {float(trap.subs(omega_z1)/2/np.pi):.1f}Hz, omega_z2: {float(trap.subs(omega_z2)/2/np.pi):.1f}Hz\")\n",
"print(f\"eta = {float(trap.subs(omega_r1/omega_z1))}\")\n",
"\n",
"P_spacing = np.pi*trap.waist_tweezer1**2*const.hbar*omega_z1/2/trap.a"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "2ab194ed",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"231.48079178308387\n",
"2126.4779442798836\n",
"0.5214842143140083\n"
]
}
],
"source": [
"print(float(trap.subs(omega_z1/2/np.pi)))\n",
"print(float(trap.subs(omega_r1/2/np.pi)))\n",
"print(float(trap.subs(P_spacing/si.uW))) "
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "9d019b7e",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"1.5338079647322577e-31"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"const.hbar * float(trap.subs(omega_z1))"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "d4de6778",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"1.40901920312263e-30"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"const.hbar * float(trap.subs(omega_r1))"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "bc808bcb",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"c:\\Users\\naeve\\FerDy-Repo\\merging_tweezer_code\\fermions\\helpers_merging.py:171: ComplexWarning: Casting complex values to real discards the imaginary part\n",
" states[i,:len(ener)] = state\n"
]
}
],
"source": [
"#make sure the powers and waists are set correctly\n",
"trap[trap.power_tweezer1] = initial_power\n",
"trap[trap.power_tweezer2] = initial_power+0.4*P_spacing\n",
"\n",
"trap[trap.waist_tweezer1] = initial_waist\n",
"trap[trap.waist_tweezer2] = initial_waist\n",
"\n",
"#calculate eigenenergies\n",
"distances = np.linspace(initial_distance,0.1*si.um,500)\n",
"energies, states, potentials = loop_distances_3D(trap, distances,n_levels=12)\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "5168b4ee",
"metadata": {},
"outputs": [],
"source": [
"np.save(\"test_dist.npy\", distances)\n",
"np.save(\"test_energies.npy\", energies)\n",
"np.save(\"test_states.npy\", states)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "6098e84e",
"metadata": {},
"outputs": [],
"source": [
"distances = np.load(\"test_dist.npy\")\n",
"energies = np.load(\"test_energies.npy\")\n",
"states = np.load(\"test_states.npy\")"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "522efebc",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x2956afa6ab0>,\n",
" <matplotlib.lines.Line2D at 0x295750fd5e0>,\n",
" <matplotlib.lines.Line2D at 0x2956f565ee0>,\n",
" <matplotlib.lines.Line2D at 0x2956eeb6870>,\n",
" <matplotlib.lines.Line2D at 0x2956eeb51f0>,\n",
" <matplotlib.lines.Line2D at 0x2956f428ec0>,\n",
" <matplotlib.lines.Line2D at 0x2956f12c680>,\n",
" <matplotlib.lines.Line2D at 0x2956f12f3e0>,\n",
" <matplotlib.lines.Line2D at 0x2956f12fc50>,\n",
" <matplotlib.lines.Line2D at 0x2956f12d3a0>,\n",
" <matplotlib.lines.Line2D at 0x2957528ef00>,\n",
" <matplotlib.lines.Line2D at 0x2957528ec90>]"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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uU6RYJCIibYNCkYREdZ8iWwN1QdY+zyIiIq1NoUhCIlg/ZDRVU6R7n4mISNugUCQhYVjVzWf10zxFIiLS1igUSUhZDY3JFxERaWMUiiQkmp7RuvpZdUUiItI2KBRJSBhNhB2ruq+RMpGIiLQRCkUSItW3+Wgo9RhV/1VHaxERaRsUiiQkaprP6r/EqqOSqZoiERFpIxSKJKSaGn2mbtgiItJWKBRJSASbzZpIPaooEhGRtkKhSELCCPYpqp9VzysREZHWpFAkIREMQw1kHt37TERE2hqFIgmR6uazJm7zoV5FIiLSRigUSWg1WFNU/awh+SIi0jYoFElINHVDWKOeVyIiIq1JoUhCoskZrYM3hFWfIhERaRsUiiQkmhuK1NFaRETaCoUiCYmmR5/tU05ERKSVKRRJaDU5+kw1RSIi0jYoFElIGLXGl9XHUh2RiIi0MQpFEhI1oajxS0xdikREpK1QKJKQavI2H6owEhGRNkKhSEKiuqao4Yogo045ERGR1qZQJK0iOE+RMpGIiLQRCkUSEtU1QEYD7WM1zWdKRSIi0jYoFElIGPu9aIAykYiItBEKRRISwZoiq6l5ikRERNoGhSIJiaamZqyZxUhVRSIi0jYoFEmrsIKjz0RERNoGhSIJkarmswZTj27zISIibYtCkYSE5h8SEZFDjUKRhET1SHujgUus8TujiYiIHHwKRRISTc1obRnqUyQiIm2LQpGEWFND8lVXJCIibYNCkYREcJ6iBmasVhQSEZG2RqFIQqKmHqihBjLVFImISNuiUCQhUV1TZG+i15BmthYRkbZCoUhCpImO1gdvR0RERJpFoUhCq4GKoJoZrRWPRESkbVAokpAw9nneV7DZTJlIRETaCIUiCYmaeYoan7xRNUUiItJWKBRJSFSHHVuTHakVikREpG1QKJKQMPZ7UX8Jq+E7xoqIiBxUCkXSKqz9XoiIiLQuhSIJiWBfIY0+ExGRQ4RCkYREzeizxjtaa+5GERFpKxSKJCSC9z5rYH2wpshSTZGIiLQNCkUSItU3hG28KshUVZGIiLQRjtbeATm8NXhvM8MACwxDNUUi0kyWVfmgOc9mA+uoW6ap72u8QOg+35rf3eTnQ/zd0engDGtiG6GhUCQhEexT1GBH631fiEizBXzgLQVfWc2z3wsBDwS8Na+Dz9XLq55rv/Z7Krdn+isfVqDqtYll+bECfjADWKYfy6xcZ5lmVZnK5VQtxzLBDGBYVcuqgokRDCC1AgrVzec1y4zqMlCzrGq9BmUcOfIu+ZSEXse0yncrFElINDV5Y83oM5EjiK8cygugohAqChp4XQjeYkxPaeXDWxoMPjZfGTZ/GTbTd1B21+Dw/zNqWo0fYdN1Hk19/pdvv6nPNvX/Tij3PZTb3lDgYUQT2w8VhSIJiZoh+Q2FouqC+tefHMIsC0pzoWQ3lOZAyZ6q58pHoHg3geIcjNI92DwF2E1vszdto+lOnz7LTjluynHhtZx4ceDFiafq2Wc5gsuC6ywHvtrLLCc+HPiwY2LDj50AtpqHtc/7qvX+6veGg4BR+d407PgNO6Zhw2/YCVTFKtMwqup8bFhGdf1PzQSuFgZm1bLq95VZpfpzleVqytiCQzmqywa3YYCJvc62g3VORu3XtoarsmtrzVT4q7+7iQ200WN7Iq6dQpEcXmqu9yb+WlcmkrYs4IfC7ZWPgu1QuAMKt+HP346Zvx17yU7sAU+DH7dXPeps0jIoIpJCK5LCquciIiiqel9kRVJCGOW4KbPclBluyowwSu3hlNnCKbOHUWYPo9QRjs/hAruBZbdV/qGzGWAzsGxGVaqqfl/zmqp1ls2oDAXVZatCCLaqP5Y2o84yqpdVLaoOFHbLjw2zKiKZVdGq8r0RjD9WrXhDo6+r6xBqv7bVRBlqIhTBZU1tc9/X9X1PU5qus/mV/Wha5Dua/p628B1NfT7Fvu+fmoNHoUhCqqGO1MF/JR7MnRFpSOle2LsectfD3g0Ectfjz1mHs2ALNmv/pqraf3GalkEe0eRaseRaMeQSW/U6llxi2UMsuc548hyxFDijKXFEYLns4LRhOWzgNKqebVhOAxxVy+0G2A1shkkYFbipwI2HMCpIoII0CnDjwY0HJz6c+LDjp7rex7nPa0dVGQc+7GYAOyZ204/dNLFZFoZlYcPCZpkYloURAMOqXlcVKMyqctXLrKpYYhlYlg2sqtfUel99oqxaf+atmkiz3zqMmm5FtX9e9/tMZdl6tx/cRt31+24/uL6JJrRfo+kmsCY30IRf3sTV9Hf/8n3/NcedGjXkF3/21wpZKNqyZQsPPvggX3/9NdnZ2aSnp3P55Zdz991343K5guW2bdvG9ddfz9dff014eDiXXnop06ZNq1Nm+fLl3HDDDfz8888kJCRw7bXXcu+999YZ7j179mymTJnCypUrSU9P5/bbb2fy5Ml19mn69Once++9bNy4ka5du/LQQw9x7rnnhuoUHNFq/ipq6A+GZrSWVmAGIG8TZC+D7OX4s5Zj7lqGqzynTrHaNTwVlpMdVjJZViI7rSR2WkmVr+3J7HCnsCssGW+YG1x2LLcNq+oZV+Vrl91LrFFIFMW0J58IdhBJKZGUEEFp8HW4WY474MUV8OH0B7B7AjgDAYwAmAEHZsBBIOAkYFa/dgRfm6YN07JjmTZM045p2bBMe9VrV3C5z7TjtSqrhWyWgR1b1f8MDIzKZ4uqd0Zwed3XlettVkNlCL7Gqj19qxH828DY77+119asqb2k9t8kxj6fbXDb1r5rG//sr/Vrt9Qy+9H4VlriO5rexq/7Fqt7680WFLJQtGbNGkzT5O9//zvdunVjxYoVTJo0idLSUqZNmwZAIBDg9NNPJzk5mTlz5rB3716uvPJKLMvimWeeAaCoqIhTTjmFE044gfnz57Nu3TomTpxIZGQkt956KwCbN2/mtNNOY9KkSfzrX//ihx9+4LrrriM5OZnzzz8fgLlz53LxxRfz4IMPcu655zJjxgwuuugi5syZw8iRI0N1Go5YwX+TNdGn6HDvxCmtrCQHtv8M23/Cu/Un7NnLsAfKg6tr/wW4w0pik5nGJqvysdFIZ1N4BjsjUjAjnVhhDqwwO1a4HSvMToy9iCRy6cMW4sknlgJiKSTaKiTSX0a4z0N4sRebz8DnDcPnd+P3u4KPQPB1NH5/IiWByn4+TsuOEzsO7DitqmfsOCw77nqX24LhxjCrR3FVPipHg9W8tqqHqVt+TMvEtAKYVgALE8uyMKksY2EFn00CWJZVVaZ6XdV7TMx9l1V/rmokWeWf9er/Vj1b+y7fp4xFg58Fq2rEd80/qH7N5/fZs2ZeWA2zfvWEtI1/vumtt8Ax/NptNHEOmtp66nE3/rrv/xVCForGjx/P+PHjg++7dOnC2rVreeGFF4KhaObMmaxatYrt27eTnp4OwGOPPcbEiRN56KGHiImJ4a233qKiooLXX38dt9tNv379WLduHY8//jhTpkzBMAxefPFFOnbsyJNPPglA7969WbBgAdOmTQuGoieffJJTTjmFqVOnAjB16lRmz57Nk08+ydtvvx2q03DEa2r0mUiLKsqCTd8S2Dgb/5a5uIu3BldV1z2XWy7WWB1ZZXZildWJlc7OrIrqQllUNFaEAzPSgRXpIMpZTJqRzUiWk8xuksglLlBAtKeEiEIvVoULjycSjycSrzccrzcMny8Wj7cd4Ma03JiWi3BchFsOYnHithy4LCduHNgCJoZpYgT8EPBjmh58phe/6cVv+fCb5QQsX817y0eF6au7zPQRsPwELD8W1XPuVNVzGTbAjmE4ABsY9uA6o/p1cJkBhg0j2LnIqPp8ZY+e4LNR+VxZzhl8XzNOzVbnc/vW72Ds80zt52YsM2ots6yatVZNseB76n8PVbvdYJmmfrKbWx90cGrBm7UvB7grv+Zv52bV/jdRxKgo/hV78Osc1D5FhYWFJCQkBN/PnTuXfv36BQMRwLhx4/B4PCxcuJATTjiBuXPnMmbMGNxud50yU6dOZcuWLXTu3Jm5c+cyduzYOt81btw4XnnlFXw+H06nk7lz53LLLbfsV6Y6SEnLqv6DYdkauveZEXwl8ot5SmDL91gbv8Gz7ivCCjYANc1fpmWw3mrPQrM7C60eLA7rycaYjvhjwrGinVhRdlJcOfRkK+nsJI0sEr15xJaXYMt1UF4eQ3l5NBUVUXg87ajwZ+KwwrBZYURbYcRbbiIsN27Thi0QwPD7sfwVeAJlVATK8Ji5VATKqAiUU2xW4K16+E0vFg4w3BiGG2xhlc+GCwMXGE4wnBhGOBBT9doJdjt2s7K/s920CMfEYVb2A6p8BLCbJobpx2b5sZmVD8MKVD3XLLNZfgyzHJsZwLBMDMzKZ8sEq+Z19XIsC5sVqJozqNb62uX3XY5V1YS179xE7PO+Ztm+5ff9TEv9c8qEOt2LqrvPWEYz/1ZqYkea1V25hQ6mOds5lI7JumLqr9/IL3TQQtHGjRt55plneOyxx4LLsrOzSUlJqVMuPj4el8tFdnZ2sExmZmadMtWfyc7OpnPnzvVuJyUlBb/fT25uLmlpaQ2Wqf6e+ng8HjyempElRUVFzT9gAapHjYi0oNJcWPs53pX/xb75W+ymFwMIozIELbM684PZj3lGHxbF9qEgLgErzoU9Bjo6tnI0i+jEFtK82SQUF+MrjaSsNI6ysljKy9LwmD3wmBHEWhEkWxFEmi7sfj+G14PPX0qpv5Ay/17K/EUUBIop9xfjt0ywRWAYERi2yMowY4vEMGIwbKkYNidOwGEFCMfEaflx+itw+spx+Mtw+MsrH4E87P4K7KYXe8CDPeDFFvBiN6temz4sAyqc4Kl6eJ3gs1c+/HYDvx38dvA5wF/9CK7fv5zfDgEbmAaYNghUPVe/D742qn7wbGBVdjyqrLwxrFqj02qWGbZaFThVVTEGldvY93cz2MpeXWVTVcawaspbtcoZNZ2Fqjp711oX/E/lBvbdTnDbtR+1mntqL29Kc3//W7JevLn3i2yz+9+MMhfER7TgNx6YAw5F9913H/fff3+jZebPn8+wYcOC77Oyshg/fjwXXngh11xzTZ2y9fU5sSyrzvJ9y1S32bZEmcbuzfXwww83eaxSv5p5inR7PWkB5fmwcgYVi97FlfUzNsxgc9g2M5nvzAHMoT8/xA0mLykJM9FNfEQ+3Y31dOcrOnm2EZdXRkVxHCWl8ZSWJOD3ZuK3okgyo4kxw3H5A+AppcxXSLFvN8W+fDb68igPlGPYoqseMWCLxrClYrd1xh0wSbB8uH3luL0lOH3FuLzFuLy7cfmKcXmLcPpKMAIeysOgzA2lYVDqNigLq3xdVvW+tGp9hasy7OCwMOwWhsPCVvVw2C1chkkYFuGWRbhp4bYsXFUPJ5XPbguiLAtncDmVz9XvLXBYFi4qlzmqco3Nsqpq2SzsVcvsllX5TK0ftFoVOQHLqBqMv/9cRvsOgK896rTOe2v/5TWD5us+157bur6B/nW3s//30sD29y1b+3sbYjWjWqR5A9yb+J4W2EZzy/zabTRvPxoX4ep0AHvUsg44FN1www1ccskljZapXbOTlZXFCSecwKhRo3jppZfqlEtNTeWnn36qsyw/Px+fzxes1UlNTd2vNicnp3KkSFNlHA4HiYmJjZbZt/aotqlTpzJlypTg+6KiIjIyMhosLzWq/1jYjfrnm1CfImmS3wvrZ+JZ9G8cG2Zit3xU3w1puZnJzMAwPg8fxZp23QkkhREVU04/23L6WZ/RqXgHjh0OiouSKCpOIlBxNHYzho5WNFE+B0ZFKaXeXAq8W8j25rDBV4hli8awx2PY4jHsyTiNToRbPpJ8pYRXFOD25BPm2UJYRT5uTz5GoIS8GMiPgsIIg+xoKIiAokiDwgjwhlvYwkwcbhO3yyTaMokOmESbJjFm5XN61XPlwyLKNIm0TFwWGCaUBdyUed2UW27KqiZpLLfCql67KbdcVQPyHXhwUoyjasJGZ9UEjZXLqydxrJ600bI7sWwuTJsTy+as7GNks2PZbBiGHdNmDy4zbJXPGHawOare27DZnGCzY7cZ2G0GNsMIvrbbDOyGgWEYGNU1M0atkV9Gdc1O3fVVS2otq/2P2n3XVS83atUAGXVqjPb9TPWG9l1Xp7xRs4/V+9OUlpwDsnnbat7WmrOt5m2nmd/XrG01XaZvZlqzvi8UDjgUJSUlkZSU1KyyO3fu5IQTTmDo0KG89tpr2PbpXzJq1Cgeeughdu3aRVpa5UmYOXMmbreboUOHBsvcddddeL3e4DD9mTNnkp6eHgxfo0aN4uOPP66z7ZkzZzJs2DCcTmewzKxZs+r0K5o5cyajR49ucP/dbnedvkzSfDU1RfWvt/YtJ1KtcCfm/FfxzX8Nt2cv1X8CV5sZzAgcw3+jj2N7akfMZBc9w9dzER/SrWwTEVkBigpSKSlIxfT1Jd6Kpas/Ent5CUUV2ez1rGSDdzcVpoHNnozhSMZmyySSLqT7S4gsyyW8PIeIso1ElOfgM0rYnQA5sQZbE2FvjEFuDPgiTRyRAaJdAVIDAZIDfhICJl0CARIDJgmBAPGmic20kVsWS0FpdK0JGiMoJJK9ViSbq94XEYnXEYXpjoWIKAxXJIYzEoc7nDC3k3CngwiXnQiXnfDgs4Nwp50Ip514hw2nw4bLbsPlMHDZ7TgdRtV7W/DZWfXssBnN/pETOdKErE9RVlYWxx9/PB07dmTatGns2bMnuC41NRWAsWPH0qdPHyZMmMCjjz5KXl4et912G5MmTSImJgaASy+9lPvvv5+JEydy1113sX79ev7yl7/wxz/+MfgHe/LkyTz77LNMmTKFSZMmMXfuXF555ZU6o8puuukmjjvuOB555BHOPvtsPvroI7788kvmzJkTqlNwRGsq7KimSOqwLNgyB8+PL+Jc/zk2AriBHCuODwNHMz3seFa074Mt1c5A9zJOMd+gc8EOPNsTyNvbHtNzHLFmAl194VCaT27FDvZULGajvxTDkYrNno6DPsQEutGhdA9RJTuJLllLWNkudsf72ZlosCkFdiUYFMeaOKMDJDn9dAz4aO/3088fINUfIMXvp8wXSVZ+EjutRHKseHKJZYsVQ64VS7kznkBEMkS1IyI6nsToMOIjnMSGO4kJcxIT7iQ9+NpBTJiT6DAHDruamUXagpCFopkzZ7JhwwY2bNhAhw4d6qyr7u9jt9v59NNPue666zj66KPrTN5YLTY2llmzZnH99dczbNgw4uPjmTJlSp1mrc6dO/PZZ59xyy238Nxzz5Gens7TTz8dHI4PMHr0aN555x3uuece7r33Xrp27cq7776rOYpCzNZAn6I6nSLlyGWasO4Lyr/6K+F7lgZrheaZvXmDcXyefhze9Ch6R63lavMNuuzdSUlOKiV5HXD6h9DZH4+zrJT8su3sLl/OJr8Hu7MjNkd7oqx0Msv2EFe4hZiiLzCtHLa2M1jfDrb2NChNNImO9tHV9NLZ52Owz08nnx97wM2mgjS2WKlstdrxg5XEHiMJX3R7bEntSUhIpH1cOOlx4aRGu+kX5SYp2k1ipIswZ+vdnkBEfj3D+vUzTR0xioqKiI2NpbCwMFiTJfUz/xSHzbD4d4c/cek1U/Zb/82DYzghsITnIi7k+ttfboU9lFZlBmDlDMq/fpTw/DVA5fxBHwSO5fWI01jZqQ8JKUWcZHxJv8I1eLMTKNnThU6+dNL9MQSKcthVtoHdnmywp2NzZBDtdZFUsJOE/HVEFW9iZ6KH9e0NNqRDRbsA6eFeevq89PT66O71UhJIYLXZkQ1WezZbaeQ422MldiM+uQOdk6PITIqkY0IE6XFhJEW6sdkU4UUOVc39/da9zyQkbFVDZg1bUx2tlcmPKJYFaz/D878/4c5fTzhQbIXzz8Ap/CPhXHK6tGdQzDJu9D5L4lYPubu64/KcRjdfHIHCbHaWLmSBrxibswtuetKxNJGk/LXEFMxhR1IpyzMNNg+ziEr00tf0Mtrj4eoKHztLOrCyuAerzY585egCqf3o2L4DvdOiGd4uiouSooiPcKqvjcgRTqFIQqqhnhK6zccRaNs8vF/ciyvrZ9xAvhXFq4HxvJp0DsVdEzkx8mtGFb6OZ2UyVu5AMnzt6VFcws7iVSyuyMXm6kFkoB/dC7aTvHchXmsri7rBl33B3c7LIKuCcysqSPG4WJLbnUVmd15y9sbeYSi9OqXTJz2GiWkxdIgPV/gRkXopFEnLq90i2+CPj2qKjhi5GzBn/RHb2k9xUdlM9nLgNF5IOJ/yHnGMjZjJsD3LKFjdBXfxOHp54ijMX8+6kk8xHR0JozvdC8NIzfmO3MhdzO9ukHW0SfeocsZUlHNVOSzK68Ucsx9zYkaQ3H8Qgzslck6nOLokRanZS0SaTaFIWpxpmjU1RE3c5kND8g9jlgU//R1r5j3YTB9+y8Z7geN5IuJi9vRM44y4zxi0ew15y7sTX3o2PUosdhQsZaG3GKezH+llPUnPXkiF8TFz+kLOGD9D3WVMKCvH50lhVu5xvOQeRnSvUYzsnsbV3ZJoHxfe2kctIocwhSIJgZqgY29yRmv9K/6w5Ckm8NHvsa+agQF8GxjIg9YE1vXsyUnp3zIm/w3yF/QhoehsuhZVsDF/DttJIJJu9N29mri8fzO3dwVfn27SP7qUK0vLyC3rzP+KT+Th5OPpd9RQTu6dwnVp0WoKE5EWo1AkLS4QqKkpshpoulD90GEsZzWef1+Ou2ADPsvOw/5L+UfCOQzus5r7/X+mZGk34vMuJrOwlHV537HNlk6itze9t/9IofMzvhxsENWpnHM9JZxRnsiM3PE8knYaI4cMZmKfFNJVGyQiIaJQJC0uYAVwVr22NzijddUKzQhxeFn+Pt4Pr8cdqCDbiud68ya29m3PPcmP4tgaTcTW8+hZHMbavT+yxUglpaIHg7Z+y+r2O3h7nMnI6BJuKfHzVd7RvBgznj5jxnDJ4A5kJLTeDSJF5MihUCQtLhDwB183NCRfDjN+D55P78C9+DVcwA+Bvtwc8XtOGfg1v6n4DyXzT6VPXi827p3L/EA4yRXdOWrzFyzuvIt3zvNxrr2I0aWJvF1wAav6XMhFR/fh8ow4NY2JyEGlUCQtzqxV+WNvaJ4iQx2tDxv5Wyh683Ji8pYD8Kz/bN5LOY57ej5E0db+pG6agqdgG/NK5hMd6MLQzbNYnLmeJRd6+Y1ZRN+yHrwfdj29TziD34/oSEKkq5UPSESOVApF0uLM2jVF6kh9WPOu/BT/B/9HTKCEfCuKW7iOqAF7uCPyGVh8KQN392Rx3k+U0IM+O1azOe5T3jnHx5VWAb1K+vF67KWcfMFpPNE/DbuGzotIK1MokhYX8NeEoobufab6oUNcwM/uj+4hZdkLuIAlZld+H38zl/V5i9S9djrNu5+cvduYXb6ddsXtCC99mbdPKuQiVz7ti/vyz4Q/cvZZp/Bkr3aaR0hE2gyFImlxgUAg+NpooKe1pRqkQ5Ynfyc5r15GRvFiAF6zxvP3PudwS9yTRK8+ka47jmFhwWqKzEy67PiATwctoWv7Un6bn8SbthsYf/45PD0gXWFIRNochSJpcQGzJhRhNH6JqU/RoSVvxZcw/bdkWAWUWGHcFnUDuwbE8fvCV0id+ztceRbflO8hsjSWAvcT/HD2Hq4qMPg4/2pWnHgZTx7dGbdDne9FpG1SKJIW5/fXhCJ7A79/wZoiVRYcGkyTgpmPEDvvb9gxWW11ZFLXP9IvfQlnrFtE923XsSNvM1n0Iqr4O94e/hljHcX03XUSM3pdw91nDSY1Nqy1j0JEpFEKRdLiTL8v+NowGhh9Vn2bD1UUtX1leZS881vitn0NwHuMYeqQKVxgn0HHn2Pou+cElhSsxaInO6NfYdGI1Zy/O4GPy+7ghktP5s6+qa18ACIizaNQJC3OqjX6zG5v6hJTKmrTdizA+/YVRJXupMJyco/9t3ww/DQuzfuQ9DUZdMipYL53L3EVUXw4YBrtYvNJ23I+87qdzavnDyA52t3aRyAi0mwKRdLifLVDUQM3hJU2zrLg539g/u8uXKaPzWYKk923sWtYe67c+iGpWzOwb1/LNttgEosW8vKJPzK4PIWvdjzATacN4+qjMzXxoogcchSKpMUFfL5a7zQk/5BjWfDFVPjpBWzAZ4ER3BZ1A5mDsrl0zRfEZKdTtnUBceYgIrz/5j9j99B99xi+t5/PP64Zwsguia19BCIiv4hCkbQ4y6xdU9TAkPzgjNbSplgWfPYHmP8PAP7su4yX4s/lvH6fk7HcS2p2J3bvXErX/Di2xr/BruO9hG2/ktz2J/DJZUPVmVpEDmkKRdLifIGaeiB7g8Ovq+OQ6ozaDNOEz26FBa9iWgZ3+q/hg3YncVuPZ7Ev7UHHnV3YuGcpwzbn8WOfhXTqGeDjXbfRs/9wpl04kDCnhtqLyKFNoUhanL/W6DO7ral5iqRNME3MT27GtugNTMvgdv//MSt9BA92fgD/4tNI2RHJ6vz1jF6zgZ+O2sPxqXZuyr+Xc44bxh3je2kiRhE5LCgUSYur3Xxma2CiImufZ2lFloXnvzfjXvIGAcvgVt/vmJM5kPvSH8a18ErcWT7WFeZx9KrFbD96N2OSormqYio3njWKK0dntvbei4i0GIUiaXG+gBl8bTR477PqPkWKRa3Ksij84BZil1fWEN0a+B0/9evHXdFPkLzg95TvzmdzoUW/jTPJPymLDlFpXOm/nQd/czRnDEhv7b0XEWlRCkXS4up0tHY6W3FPpFGWxY53bqHD2tcwLYM/GJNZMKwfU3iBzPlT2LNnDzsLw4nPfZnSU7OICnTmmsBtPHb5aE7uk9Laey8i0uI0iYy0OLP2PEUN3PusZkZr1RS1Bss0Wfr6zXRY+xoAdzqvZf7I/kyueJNu829j155CsgvCyLf9g/CTdhIe6Mb13M6zE49RIBKRw5ZqiqTFBWrd+8zmVAfctsYK+Jj/98mMyHkfgDsjJzN38CAmbP+I3mt/x5b8HRQVufgp43nOSN5FVFFXbjJu4x8Tj9YcRCJyWFMokhZnmTV9iuwN9Cmqpsh0kJUXsPXvFzGi4CcA7o6fzHf9hnLRmq8ZtO0iVu1dh688mg8HvcBk2y5iijpzs+0OXv3tMQzuGN/KOy8iEloKRdLiAlZNKHI46u9TVN18psazgyhvM/kvn0Nm2RbKLDe/b3cbK3p157ylcxmWdSxLclfi8sTx1lEvcYMvm/jCTK437uAfVx+tQCQiRwSFImlxVq3RZw3dELY6DGn02UGyYyEV/zyfeG8+WVYCE1P/RF73RM5esJAh2V1Zsnc1SSV2XjnmH1zj30t6UQaTuZ0XJx7D0E4Jrb33IiIHhTpaS4szzVp9ihoIRehmoQfPmk/xv3oaYd58VpiZnJn6ON5uLs74aRn9d0SwMncjGTl7eGPUdH5j5NG9MJ1rzTt55opj1YdIRI4oqimSFhewakKRw9VQ81klw1BNUUjNexHriztxYPFNYCDXpk5lRJel9P+phIydFluKyum7YwvPnLqOM5xFjMhL5IrAnTxxxdEc0z2ptfdeROSgUiiSluevde8zWxPzFCkThYZpwsx7YN5zGMBb/pO4O/U6zuv6Ke0XuknbYSe3sJChm1bx1Jk5HBdRzLjcCC7138kjlx/DCT3btfYRiIgcdApF0uICVM5TZFoGDlfj8xRJCJgBmDEZlr8HwF99l/BC6oVM6vYm0YvTSdnmZE/hHkatXsQT55QwKLaUi3MdXOy7i3suGcMpmodIRI5QCkXS4qyq0WcWjfQpqqKO1i3MNOHjG2H5e/gsO7f6fscnacdxW7dncCzuR8pWFzsKshm9aiHPnVlKRnI5k3JMLvbew+/OHsNZA3XrDhE5cqmjtbQ4y6wMOhYGRgMdqlVTFAKWBZ//ARb/i4BlcJPvej5PHc293R4mcslAOmyNYGdRIUevWszL40sJ6+Dh9pxyrvRO5fyTxzDhqE6tfQQiIq1KNUXS4sxAZUdrCwO7s6kh+dIiLKuyD9H8lytv7Or7Hd+mDOXBHg9gLTmdhK1hrC8pZdSq+bw9ppiyrl6e3FXENd6pjB49hhtO7NbaRyAi0uoUiqTFmbUmbzSamNFaPa1byDcPwdxnAZjqv4aZ7UbwUM/7MJZcRPTWMFaXmYxcPYfPhu1lc/8AL+3K50bvbXQefCL3nN67wRo9EZEjiUKRtDjTrOlT1NDkjdV1RPop/vWs76ZhfPcoAH/yXclHqcfxYPcHiFj6G8K2RbK83MmwNR8xp+cu5o40eX3XHu72/J6wnifzyPn9sdn0/4KICCgUSQhZGNgc9gbWSUswf3wO29cPAvCw7ze823EcD3a+j5gl5xO5PZ4lFeEMWjuDFe238PGJFm9k5/C050ryO43njUsH47CrW6GISDWFImlxllnTp8jWYPNZde2E4tEvFfj5Zewz7wLgCd/5vNbtHO5r/yCRS88iZnsaCyui6Ld+Btvj1vDGafDK7j1Mrzibpann8faVwwhz1h9YRUSOVApF0uICte59ZrM1XlOkhptfxrPgn7g/uxWA5/1n8mzv33B38l+JXHQ6iVkdWOCJo9fGjyl0LuLZc2w8l5vD/PLjmBEzgfcnjiA6rIlJNUVEjkAKRdLyrNqhqP6aIsuo7lOkmqIDVbrwXcI+uQmAVwPjebTfb7k99jFiFowlLSed+eVRdNn6FaZvDtMus/HXglyyywbypOv/eP+3I0mOdrfyEYiItE0KRdLiqqYpqpynqMG6IKvOkzRP3sLpxH48GTsmb5kncf+g67g57FniFh5P+u4E5leE0XHnfCIKZvLHCXZuL9mLqzST3xs38s+rj6JTYmRrH4KISJulXpbS4mpmtDYwGhzZpIazA5U1/yOiP/4/7Ji8bx3HnUNv5VrXqyQuGEn6rkgWlYeRlrOW5F0zeOgSO1f5CuhWnMhk/208dfkoBnSIa+1DEBFp0xSKpMVZVHe0bqyMhuQfiC3zPyXx09/ixM/HxihuGX4XVxn/ImXhANKybSytiKBd/i46bX6bv1xs5xRHMScXurnSeyf3XjCKMT2SW/sQRETaPIUiaXHVXYoau81HrdIh359DXdbiL0j59Crc+PifMZzfjbifi/0f0H5hN1J2VbDaE01SSSk91r7OoxdAn+gyrtrr5wrvnfz21FGcN6RDax+CiMghQaFIWpxlNR10amqKFIoak7doBokfXU44Hr4xBjFp5J85s+JzMhe1o92uQjZ544irsNN35Us8c5ZJbLKHqTklXOO9nTGjR/N/x3Vp7UMQETlkKBRJizNr9SlqmMJQU4p/epPY/16NGx+fM4Irh/+VE8q+p+fiCJJ35bLNG0e0P56By5/n1VN8lGb6+NvufG703Uz7/sdy7+l9dPsOEZEDoFAkIWDV+m9DVFPUmPIfXiT68xuwY/If6ziuGf5nRnkWMGBJgMSsXWR744ikI4OWPcP7o8vZ0DfAc9l7uM87CW/miTx+0UDdvkNE5ABpSL60uJrms4Z/lGtqkfTDXYdl4f3mb4R/9xcAXrXGc8+wKYzyLmbI4mLid2ax15dIuKMPgxY/zpcDCvl+uMWb2Tm86LmENSmn8+4VQ3E3cHsVERFpmEKRtDyrOTVFlVRTVItl4f/fPbjmVd7t/gnzfKYNuYbL/P8hcUkcCTuzKPLG4HaPYNCSp1jYZQ8fnACvZu/hi4pxfBZ9ITOuGk6MZqsWEflFFIqkxZnBUNRITZGhe5/VYQYI/PdmHEv+CcD9gQm8POQSruFNIpa0J2lnDkWeMFzhxzNw+fNsSNnBy6cZPJuzh7Xlw3neeSXv/3YE7WLCWvlAREQOXQpF0uLMZo0+q2QoE4Hfi/nB/2FfNYOAZXBH4P94f9DpXGe8jHNxN9pl5bO3PIAz8nT6r3qN3ZHreeIcG3/Oy8NT2oN7rOt4Y+JIuiZHtfaRiIgc0hSKpOU1o6ZIPYmqeMuw3p2AbeOXeC07N/p/z8yBY7jJ9TwsGkDKrmKyS4txRZ9P77XvUs5SHrnQzpSifNoXt+NS/808fvlwhnaKb+0jERE55CkUSQhUD8lvWE1X7CO4qqiiEOvfF2Nsm0uZ5eb/fLfw04Bh3Bb+FIFFI0jLqmBbyW5cURfSbdMnOMvmcv8Vdi71FHF0YQTne+/gznOHM7ZvamsfiYjIYUGhSFqcVeuGsA07wuuKSnOx3jwXI3sZRVYEE723s6pfL+6MmoZ30XF0zDLZWLwZV/TFdNrxHfF7v+Tey+0cTym/ybO4wHcnvzlxKJeN7NTaRyIictjQPEXS4qzmdLQ+kucpKtwBr47HyF7GHiuGi733sqZ3N+6Of4TAkmPJ3OViY9FKXFEXkL57Ce13fMRfLrLTI7yCW/eUcrX3dkYMGcaUU3q09pGIiBxWFIqkxTXvNh9HqL0b4dXxsHc9O6wkLvL+iR090vlj0sP4Fp1Mt6wYVuf/jDPqAtrlbaTbhneYdp6N6Hgvf8mpnK06scdI/nJef81WLSLSwtR8JiHQdJ+iI3LqxuwV8OY5ULqHjWYal3vvorxbJPel/ZnSRWfTLTuJBXmzcEZdQGLRHnqtfp1nz4KS9gH+uWsPf/JcS376cbx96RCcdv17RkSkpSkUSQg11ny2/6vDWvZyeONMKM9npdmJK7x3YnZ2cF+HByhbch49stvzY+4nOCPPIbasgv4r/s5rp5hs6m7yr6wcXvBczKL4cUyfOJxIt/7YioiEgv65KS2vWR2tjyC7V8E/z4byfBaZ3fiN9x7IsPFA5gN4l55Lz11dmZfzCY7I04jyORi4/Hk+GOXjp4HwYvYePvOcwvvu83jjqhEkRblb+2hERA5bCkXS4sxm3ObjiAlMe9bCP8+Csr0sNbtwpfdOXOl+Huh+P77l59Ezuzdzdn+ALeJkIsx4Bi19hm/6l/LJaHhudw5rKoYyzbiSV64aQWZSZGsfjYjIYU2hSFqcYZlNljkiRp/lrq9sMivdwwozkwneOwlr7+XB3vcTWHE+PbIG8V32fyD8WMKMDAYtfYZFXQp542SDaXtyKSvrxh8C1/HcZcMYlBHX2kcjInLYUyiSFmdWVQI1pzbosK0v2rsR640zoWQ3q8xOXO6dijszwJ9734+18jx67BzJ7Oz3MN3DcDt6MXDZs2xsl8OzZ9j4U14+yaUpXOubwv3nDuGEXu1a+2hERI4I6rEpLc44kD5FzRi+f8jJ24z1xpkYxbtYY2ZwuXcqzu7wYOb9sOocuu04lq+z38Ln6IXLNYT+y54nJ3Ib086zc0NRAcOKwznXezuTThnERcMzWvtoRESOGApF0uKsZvQpqs5Lh11NUf5WrNfPwCjayXqzPZd678Lex+C+9AcwVpxLtx0n8nX2W1TYOuIIO5q+q16hwraOhy+2c2FFMecWwAXeOzl5xEB+f2K31j4aEZEjiprPpMVZNGNGa+uwi0NQsB3zjTMxinaw0UzjN767cQyw88e0P2MsO58eO09mdvZ7lJCEI+Ikeq97G6dnGX++xMaxZhnX55VztfcPdOk1mAfP7qvJGUVEDjKFImlxB9J5+rDpaF24k8DrZ2Ir2MomM5VLAvdgG+zk7qSHYOmF9N19It/vnk6hGYYzcjzdNn1EbME8HrzYRk9nBfftyecG740YGcN45jeDcWhyRhGRg07NZ9Ligt2EGqnpOKyG5Bftwv/6GTgKNrPVbMdvzHtgqJupkX/BWnwRA/KO5ofdM9jrN3FGnUOn7V+Tlv0VD1xiIy7Gy+O7cvmjbxJbE47h/SuHE+6yt/YRiYgckRSKpOUZTfcpMqrKHPI1RcW78b12Bs78TWw3k7mEP2IOj+AO118xF13E8ILRzNvzMbt9JTgjLyA9ez6ZWz7k0fNteNr5+ceuPTzrvZBvwscx4+oRJES6WvuIRESOWApF0uKsZow+OyzmKSrZg+fVM3Dnb2CnlcjFtj/iHRbJ7cajmAsvZFTJUSzY+z92VOzGFXUxyXvX0HPd2zx3uo2dmRb/3JXDx96TeMN+Hu9eNZyMhIjWPiIRkSNaSDsunHXWWXTs2JGwsDDS0tKYMGECWVlZdcps27aNM888k8jISJKSkrjxxhvxer11yixfvpwxY8YQHh5O+/bteeCBB/a7E/vs2bMZOnQoYWFhdOnShRdffHG//Zk+fTp9+vTB7XbTp08fZsyY0fIHLUAzRp8d6kpyqHj5VNz569hlJXCJ/U9UjIjlVusJzEXnMarkKBbv/ZLNZZtwRZ1PfOF2+q5+jTdPhCV9DV7IzmGpZygPmRN5ccIw+rWPbe0jEhE54oU0FJ1wwgm89957rF27lunTp7Nx40YuuOCC4PpAIMDpp59OaWkpc+bM4Z133mH69OnceuutwTJFRUWccsoppKenM3/+fJ555hmmTZvG448/HiyzefNmTjvtNI499lgWL17MXXfdxY033sj06dODZebOncvFF1/MhAkTWLp0KRMmTOCiiy7ip59+CuUpOEI1HYcO6T5Fxbsp+8ephBWsJ9uK52LXfZSMSOBm/1OYi8/m6NIRLM37lg0la3BGnk9MaQEDVrzEf0cGmDXc4JnsHPI9XbnFdx1/vWAQx3ZPbu0jEhERQtx8dssttwRfd+rUiTvvvJNzzjkHn8+H0+lk5syZrFq1iu3bt5Oeng7AY489xsSJE3nooYeIiYnhrbfeoqKigtdffx23202/fv1Yt24djz/+OFOmTMEwDF588UU6duzIk08+CUDv3r1ZsGAB06ZN4/zzzwfgySef5JRTTmHq1KkATJ06ldmzZ/Pkk0/y9ttvh/I0HHGa13xW6ZCLRsXZlLx0KlHFm8iyErg4/AGKhyRwU+nTmEvP4PiKoazM/4F1xUtxRl5IlNfPwGXPMbufh3ePs/FETi6R5e24yHsrN48fwHlDOrT2EYmISJWDNu43Ly+Pt956i9GjR+N0OoHK2pt+/foFAxHAuHHj8Hg8LFy4MFhmzJgxuN3uOmWysrLYsmVLsMzYsWPrfN+4ceNYsGABPp+v0TI//vhjg/vs8XgoKiqq85BmaEYoMoLPh1AjW1EWxS+OI6p4EzutRC6K/jOFQxO5ofgFzCXjOaFiKGsK5rG68GecEWcTbroYtORplnQu5R/jbfxxbx69SiO40nsH547qw+QxXVr7iEREpJaQh6I77riDyMhIEhMT2bZtGx999FFwXXZ2NikpKXXKx8fH43K5yM7ObrBM9fumyvj9fnJzcxstU72N+jz88MPExsYGHxkZuuVC8zSnT1H1DdIOkVBUuJOiF8YSXbqFHVYSF8T9hYJBifwu/2XMZSdykmcwGwoXsrzgBxyRZ+I24hm05Gk2phTw1Nk2ri8o5OQSmOC9kyH9+vDHMzU5o4hIW3PAoei+++7DMIxGHwsWLAiW/8Mf/sDixYuZOXMmdrudK664ok4n6fp+GCzLqrN83zLVn2+JMo39ME2dOpXCwsLgY/v27Q2WldqabhxrxlRGbYZVsJ2CF8YSU76d7WYyFyT/heIBcfxf7msYK47hFM8QthQtZUneNzgjTsVlb8/Apc+xJyqHv51v44LSEiYUVnCV5w8kdurPExcPwm47BA5cROQIc8B9im644QYuueSSRstkZmYGXyclJZGUlESPHj3o3bs3GRkZzJs3j1GjRpGamrpfR+f8/Hx8Pl+wVic1NXW/2pycnByAJss4HA4SExMbLbNv7VFtbre7TrOdNFMzan8OlY7WZv42Cl4YR4I3i21mMhek/5Xy7pFcs+tfONaNZKx3MNuLV7Jw7ywcESfjdHZlwNJnqXBs46GLbRznL+MPeYX8znsLxclDeP+KYYQ5NTmjiEhbdMChqDrk/BLVtTcejweAUaNG8dBDD7Fr1y7S0tIAmDlzJm63m6FDhwbL3HXXXXi9XlwuV7BMenp6MHyNGjWKjz/+uM53zZw5k2HDhgX7L40aNYpZs2bV6fw9c+ZMRo8e/YuORRpWHXiaE3yMNtx65tu7haIXx5Hoy2aLmcKFnR7B2zmMidvfxbVxCOO9g9lVspYFuV/gCD8Wp6sv/Ze/iBXYwP2X2+hnq+Dh3Xu513cNy6NG88HVI4iNcLb2YYmISANC1qfo559/5tlnn2XJkiVs3bqVb775hksvvZSuXbsyatQoAMaOHUufPn2YMGECixcv5quvvuK2225j0qRJxMTEAHDppZfidruZOHEiK1asYMaMGfzlL38JjjwDmDx5Mlu3bmXKlCmsXr2aV199lVdeeYXbbrstuD833XQTM2fO5JFHHmHNmjU88sgjfPnll9x8882hOgVHLKsZfYpq7gfbNlNRRc4mCp8fS6Ivm81mCud3fRRfZzcTNk8nfNNAxnsHs7t0Iz/t+RRb2DCc7qH0XfkKrorVPPAbGx3CvDyRk8szvgv41DGW168aQfu48NY+LBERaUTIQlF4eDgffPABJ510Ej179uTqq6+mX79+zJ49O9gkZbfb+fTTTwkLC+Poo4/moosu4pxzzmHatGnB7cTGxjJr1ix27NjBsGHDuO6665gyZQpTpkwJluncuTOfffYZ3377LYMGDeLBBx/k6aefDg7HBxg9ejTvvPMOr732GgMGDOD111/n3XffZeTIkaE6BUes6rxzqI4+K9q1nuIXx5EU2M1GK43zez5OIMPBJRs+JmJbX8Z7BrGnbAvzcv6LzT0Ih/toeq/+J1Ely3jwYhsx0X6e3Z3DB74TeZHz+fsVQ+mdFtPahyUiIk0I2TxF/fv35+uvv26yXMeOHfnkk0+a3NZ3333XaJkxY8awaNGiRstccMEFdSaPlBAxTKCJ5rOqLNTWehbt3boC8/WzSbZy2WilcV6fx7ElW1y4eiYxOT0Y7xnE3vLt/JjzIYa7P47w4+m17t8k5C/ggUtsWEkmL+zczVzfUO71X8VTvxnE6K6/rLlZREQOLt37TFpeMyp/rDY47Gz3im8Je/9yYilmg5XOeQOexB7n54zFPxBflMl4zyDyynfww+4PMJx9cISfSI8N75OSM5eHLzQoTLN4c2c263y9uNF3A3ed3pczB6Y3/cUiItImHLTJG+XIUdPRurEyldpK89nOH98h7v0LiKWYJXTlnMHP4IzzceaSOaQVJQcD0Zzd08HZE0fEyXTd/DHtd33L4+cY7Ohk8NKubHJ8mUzy3cqEY3pyzbGanFFE5FCiUCQh0IybeFhtp6Zo++ePkTZzMm58zDKGcu6wZ3BHV3DaormkFrWrE4gsZ3ccEaeQue1/dNr+P5493caa7jZe3JWN5U1hovcPnDCgC3ed1ru1D0tERA6Qms+k5TXjNh/VhYzWnNHaNNnx3q1krHkVgDftY7lj+O1kOrZxwvylpJUnMd4ziPyK6hqirjgjxpGx81u6bP6Yl8bbmN/XxovZu4nzxnGe5056d+3MYxcNxKbJGUVEDjkKRRICzRiS39pdrH0VZL1+JR12fgHAw87LeGr4bxnACo76aQNp3kTGeQaSX7GD77OnYzm74Iw4lfa7fqT7hum8eaKN2YNsPLU7hy4VYZznuZOUDl146YphuB2anFFE5FCkUCQtrll9qKsKtUqforI8cv5xPun5i/Badm6N/D3/GXoOx/h+oN/P2aQFkhnrGUBexU6+z54OjkycEaeStns+Pde9w/tHG3w60sbfcnIZUm7nIs8dOJK78/pVI4hy64+UiMihSn+DS4urmbyx7TUhWflbyP/H2bQr20KRFc41sVP5btBxnF72ORkLy+lgpnCypz97K3bwffb7WI6OOCNPJzVnIb3XvMmnw+E/x9r4Y+5eji8NcLnnDgpje/P+b0cQH+lq7cMTEZFfQaFIWpwV7FPUSBmqa4oOHmvnYkpfP58E316yrASuaHcfq3r15ZLi94hf4qSjmcqJnn7kVmyvCkQdcEaeQWrOYnqveZMvhsI/T7IxJb+Ac4sruMZ7K1siB/Deb0eQFqvZqkVEDnUKRRIyzbr32UFqPvOv+Ahz+iSiLA+rzQwmZDxITtd0rsp7E+eKWDLNNE7w9mFPxbbKPkSODjgjzyJlz1J6r3mDrwZZvHaKjesKCrmysISbvdez0DmMt68aQZfkqINyDCIiEloKRRIyzWs+C3Eosiy8sx/D9e2DAHxrDmRy13swM9z8357X8K9OoZuZxnHe3mSXb+aH3TPA2QlnxBmk5C6nz+rX+ba/xcvjbPy2sIjJBUXc67uK/9mO4c2Jw+nXPja0+y8iIgeNQpG0OAOz6rk5ZUPI78Xz4e9xr3gHgNcDY7m3700ktyvgsp1vU7yxIz0D7TnG14sdZeuYt/u/GK4uOCJOp93e5fRZ9Spz+lr8/VQblxUVc1N+IX/zXcLb1lheunwIIzonhHLvRUTkIFMokpBpzozWIVOWh+et3+DeOY+AZXC/dSX/GHIpvWPXcc6WmeRt60qfQAdG+XqwtXQVP+d8is3VDUfEabTLW0Hfla8wtzc8d7qNC0tKuD2vgKf95/FC4CyevHggJ/VOCfURiIjIQaZQJC0ueJuPRsfmh3BIfu56vP88H3fRVoqscG4wbmbWsJM4JnIOx69fwJ5d3Rnkz2SovwubipexIPcL7O6eOMLHk5y3ir4rXmF+T3jmTIOzSsu4e28+L/lP5wn/+dx/Vl/OGdy+5fdZRERanUKRhEDzh+S3ePPZptn437kcl7eI7WYyVznvZMWwwZzvep9eq7LZk9udkb7u9A90ZF3RQhbv/RK7uzeO8HEk56+i34p/sKi7xZNnGYwrK+f+3L38y38KD/sv5eaTe3Dl6MyW3mMREWkjFIqk5TVjSP5+hVvC/FcwP7sdh+VngdmDSeF3sGdIBpMdLxK7zE5eYSbHeXvTw0xjdcE8luXPxu7ugyN8LMkFq+m3/B8s6wqPn21wQkUFD+3J5f3A8fzJfyW/PaYLN53UveX2VURE2hyFImlx1R2tm1W2JTKR34v12R8wFr2ODfgwMJrbYm/EGhjJHTxKxaJ0SsqSONnbj05mMsvzv2dVwY/Y3X1xhJ9Cu7zl9F3xCiu6wKPnwmifh7/l7OHzwGim+q7h0pGZ3HN6b4xmTdUtIiKHKoUiaXE1zWYHoU9R8W6sdy/H2PEzpmXwN//FPJt2CYm9yrgl8FeyF/cm4I1nnKc/6WYCS/Z+zdqi+djdg3CEn0Bq7iJ6r3qdZd0MHj0Hhvp9PL47h2/M4UzxTeacIRk8eHY/BSIRkSOAQpG0uOr40Ojos5bIGDsWYr57GbbiXRRZEdzg+z1fdT+WXh03cm3Fm6xfMgx7IJbTygeSZEXz857P2FyyHHvYCBxhR5Oe8zO9Vr/Joh52HjvbYrjfz9PZu5kXGMQN3hsY1z+Dv50/QHe8FxE5QigUScg02tHa+pU1RUv+jfXxzdgCHtab7bnGfyvrB/RhbLsvObP4K1YtG024Fcu48oHEEs4Pu2ews2w9jvBjcISNID37B3queZsFvew8fpbFSJ+fp7KzWWL25f+8N3Nsr/Y8cfEgHHbbL9s/ERE55CgUSQg0PfrsFzeaBXww8x746UUMYFZgKDcb11M4PI3fxr5Kv9ytrFh9LLG2WMaVDSDCcDE7611yKrbhCD8RR9ggOuz8lu7r/8P83g6eONPiKJ+fJ7OzWWX14GrPFIZ3S+e5y4bgcigQiYgcSRSKJASajjw1vY4OIB4V74b3r4atcwB40n8eT7guwjU0jLvCHyJim4vVW0aRakvk5NJ+2A34aseb5PtycEaMx+7uQ8ftX9J14wzm9nPw9OkWo7x+nsrexSqrJxMqbqdvZhovXTGUMKf9Fxy3iIgcyhSKJASqJm9sdslm2DIH6/2rMUp2U2KFcavvd3wWdwwpA4u5zfkgeWu7smV3VzrbUhhT1puA4WXW9n9REijEGXEGdld3Mrd+TufNn/BDfwfPnGZxtNfPk9m7WG314vKKP9CtQyqvThxOhEt/LEREjkT6219CoDoONdZ81sw4ZJrw41NYXz2AYZmsNTvwO9/NrEvvxqDeq5lsvMKGZcMoKEijH50YWdaVMor5auu/qKACR8TZ2J2ZdNn8XzK3/o/vBjp4brzFMV4/T2TvYpXVm8srbqNjWgpvXD2C6DDnrz98ERE5JCkUSYuz9nluXul6lOfDjN/Bus8xgOmBY7jbfzUlPZO5MOMDxpvfs3TRsZSVxTEy0J3+vo7kmzl8u/1tAnYbzrDzsTnS6Ln237Tf9QNfD3bw93EWx3r8PLFrFyuNmkD01jUjiYtw/epjFxGRQ5dCkbQ4IzijddMdrRvsU5S1GN67Agq24cHJn3xX8rZxIs6hYdyRMI2uFXtZsPhkTH8kJ3r70MVMYZd3Ez9kzcBwRWJ3n4PDkUDvFa+SsmcRnxzl4J/HWxxXOxCV30ZGajveumYkCZEKRCIiRzqFImlxzeo8bdR5qmFZsPA1+PwOCHjZZrXjd96bWB7RnbRBhdwaeR+OgjgWrDgepxHJ2Ip+pFnxbChdwqKcmTjCkrG5z8Zhj6DfkudIzF/Nu2PsTB9lcUqFn0eyd7GiViD696SjFIhERARQKJJQqEo6zetoXatURSF8fBOsnAFUDre/1Xct+UmJHNN/IROdr5K9oz+bN/Ul1hHNKaX9iLUiWVrwLWvyf8IV0RHDeQYuu50BC58gtmgzr55i44thBmeVebl/dzYrjN5cVv4HOqYmKxCJiEgdCkUSMs2bvLHKzkXw/lWQvwU/dv7mu4iXAmdgdY7kqm5vMsaYy+rVo8nd04l0ZxInFvfBbXPw4+4P2VG6FldkDwznOMKMAAN//huR5bt49gwb3/W3cXFJBXftyWGpApGIiDRCoUhCoKr2pzn3C7MsmPcCzLwXTB87SeYGzw0ssvUgahDc2u5BMsxCFi06hdLSBHrZMxhV3A3sFl9vf4tcz05cUQMxHCcQSRkD5j1KmD+faecYzO9pY2JRKVP27uVnYwATy2+mU2qy+hCJiEi9FIokZJrTfDbcWgtf3AnA54Hh3OGbREFUHAMHbmBy5PMYniR+XnQyPl84R1k96VvaHq/Nw1db36TYl4crcjSGYySxgb30//kx7EYZD11gsbyzjesKipmcn8/3xjAmld9A59RE3rpmJIlR7tAeuIiIHJIUiiQEmtPRurIWyYaFDycP+C7jzcApWGlhXN77PU5yfEVeXh9WrRyEwxbGWF8fOgaSKCCXbzb/Gx9enJHjsbn6kFS+mT4LnsEMs7jvPIt1HWzcllfIlYWFzDRGc135ZLqmxCsQiYhIoxSKpOVZ1TNaN9x8lmMkALDJTOX3vhtZQSYxveG2Dg/Qwchh44ajycrqQqwripOK+5JgRbHDt465Oz7C5grD6Tofm7MD6fmL6bHsVUrjXfzxfD9ZSQb35uZxUXEJH3E8t5RfQ5/2cbx59Uji1WQmIiKNUCiSlmdU3xC2YZsd7Rld8TR7iMMb5mbAgE1cF/cMTiuaxYtOoaQkkY7uFMYU9sSFk+XFc1iV+wOu8ARwnoXNnkCXnbPotP5DctMiuOd8D8XRdv6Wk8P40jLetsZyl+cKBndM4LWrRhAbrpmqRUSkcQpF0vKaMXljR3sePzg7Y8a7uLrPvzjO9R0V5V2Zt3gofr+bwc6uDC7shGGHH3bNYGfpOsKiO2LZTsNmD6fnurdJ3zmHzV0iuf/sCgh38kLWTo6q8PCyeSZ/9l7CqC5JvHzlMCLdusxFRKRp+rWQFmc0495ngz2byTh+LmlGFrEUszt7OOvW9cRpd3JyoA+ZFcn4HF6+2vImhb5cwmL6YNlOxmm30XfJ8yTmrWJpvwj+dmoF0U4Xz+/YRl+vj6cCF/KE7xyO79mOFy/X3e5FRKT5FIqkVZieCHoZawBYtfJk9u5NI84dzUlFfYi3oiiw5fLNxn/jNcsJizkWyzaMcIeP/j9NI7pkO9+MDOfF4z2k2938fdsWOvoD3Oe/itf9pzCubwpP/2YwbocCkYiINJ9CkYRMY32KvPntWLb0FMrKYvH5wukclsYxBd1x42STdzkLdn6OzenCFXk22LsSRz79vn8Ut7eQ/5zo5j8jvPQ0XLywdRMJpo3f+37PJ4GjOHtQOo9dOBCH3XbQjlNERA4PCkXSsrb9xHkVXwHga+Tysls2CgtTMSw4ytGLvgXp4DCYl/MpWwtX4I5MxLKfjs2eRGrFBnr+/CyG3eKZc5x83zvAMNPJ01s34baFM8FzMz+a/bhkeAYPndsfu60Zk0aKiIjsQ6FIWoavHL7+M8x9jnQssq14XnKcyQkNFI/yGRzl60E7M4Z2nlh8bh9fbnyDIt9eIuK6ELDGYbOF02XPbDqt/A++mDDuP9vL+g5wis/g4Z2b8NvjOa/0VlZYXZg8pit3jO+J0ZxZtEVEROqhUCS/3o4FMGMy7F0PwHuB4/izbwJWdMN9egygXyADgHzHHr5Z+y98lpfIhOH4zdHYHTZ6r/sXKTvmUpAWzd3nlLEnzuDqMj837c4i35nK+SV/YIuVxt2n9WbScV0OxpGKiMhhTKFIfjlvKXz7MMx9DiyTHOK50/tbvjaHEJbg49r0/wDn1/vRPP9utpeuJbdiB+uKFmBzOAmPOo2A1Ytwl5++P00jtmgLm3vFct+pJXjD7Pwpv5gLCvay3dmZ84tvY68tgccuGMD5Qzsc3OMWEZHDkkKR/DJrv4DP/gCF2wD4IHAM9/uuoNAVw8hOq7gm83nK9mY0+HG/4ePHnA8BCItKxLSdimW0I8GWT+/ZlR2q546M4anjSwh3uHkuK4ujy8tY7hzIZcU34HVG84/LhnBir5SDcbQiInIEUCiSA1OUBZ/fDqs/BmCHlcS9vqv4xhxMcmcnD3R5nPb29ZimjcLsHg1uxuEKByMMm6M9ln0cNlsYGWXL6Tr/ZQybyTunRvHBwFJS7BE8t20TPX0+ZjpP4PriqwgPC+NfE4czLDPhYB21iIgcARSKpHkCfpj/cmVnam8xfmy87D+dp/zn4o2J5qrB8znG/SoAZQXJrFo/iqiitAY353C5ccf+DsMwsNmg19YZpG78En9MBA+f6WN5xwp6GxE8u2UD7QIBXrRdzF+LzyI1JpzXrx5Or9SYg3XkIiJyhFAokqZt+Ar+dxfsqZxscZHZjbt817DakcmAoQb/l3g3EeRhGG5yco5mzeo0wEaGP7zBTdpsZRiGgcuTz4BVrxBTuJn8TvHcfXoRubEG480wHti2Drfh4Hbzd7xXMZpeqdG8dtVw0mIb3q6IiMgvpVAkDcvdADPvhnVfAJBnRTHNfzH/Nk8goWs0f+zxNpn+L6sK92LB/N6UlUVhNw2O8fcmusLf4KZdrhyGL3iY8PJcHIEKVg5L4i/H5+N32rip3OK32evwOmK4tOwm5pm9ObZ7Es9fNoToMN3YVUREQkOhSPZXng/fTcP66e8Ypg+fZeefgbE85T+X0nZJXDFkA8eZf8Pwg90ey86dR7F+XTJg0DUhg+E7M4gywtkW2NDgVwTcDqJLdmAaMOPUON4emE+kPYzH9+RyfFE++e50Lii6hY1Wey4elsGfz+2HU7NUi4hICCkUSQ1PCfz0ItaPT2NUFGIAXwcG8ZD/MjbEdmbMYJPfhN2NK7AHMAj4RzNvbnt8Pjfh7jCOtvehU1YchmGwvXQNS/MWMJqr6v2q/K5JvHW8jTUZBms7lJDhiOaZLevo6vOzNnwwF+dPpoBobhvbg+tP6KZJGUVEJOQUigR8FbDgVczvH8dWtgcDWGNm8LD/Ur6JGMqgkeE8lfAC0RU/QwAc9i6sWDGQPXuiAOiZ2JlhuzoQbrogzGDujk/YVrwChy254e90OPloVGXNz1G2KKZtXEOsafJf95lMyb8Qw+7kyQsGcs7g9gfhBIiIiCgUHdn8HljyFoHZj2IvzsIGbDZTeMJ/Af91HUPHoXH8LeMDkktmQEVlU1lu7mhWLE8AbCTExDPa34PUnZXhqCS2mK+Wv0FFoBSMSMLsDc8y3dPVgaHlFQyr8DC5YBs2m5MHbdfySuGxJEa6eOHyoYzorCH3IiJy8CgUHYkqimDBqwR+fA57WQ52IMtK4Gn/ebznPpGkgUnc23kenQqewSixMAwnfv9xzJvbDp/PgcPhYFh8b3pvT8KODcJsLCuZzeolPwLgDGuPzX0WjorNDe5CjD2S17NzKnfHlcDEspuY5+9Or9RoXr5yGB3iIw7GmRAREQlSKDqSFO/GmvcCgZ9fxuErDoahl/xn8FbEOJIGtePuzovpnH8bVoEXALv9KBYvyqSwsHLUV5fkjgzf04no7S4woCi+kK+WvoHXX05YVCzhcWMpL62cyTq8fG2Du1Ia3Rm/ZWMNmUwquoVdJDKubwqPXzSISLcuSxEROfj063Mk2LkQ/7yXMFZ+gN304gDWm+150X8mM+KOJ713End3XELHvNux8jxYgMvVl7Vr+rJjhxuApLhEjrJ6kLq9sgbHjDP4KesTtm1aUbm+0xBKCkdSXhqOzSil37J/UhC1qsFdKo7tyTDPCxQSiYWNG0/qzs0ndcdmU4dqERFpHQpFhytfBdaK6ZT98Hcic5cG/49eZHbjefNs/pd6DAP7JfBA4nzSc/+AtbccC3C7+7Bt6yDWrbMBBpEREYyM6Uvmlihs2MBpY4d7Az8ufh8Li4i4RMKiT6KkqAMY0DEqj47/exiXr4yd7ewN7l5suJMCoglz2njswkGcPqDh2a9FREQOBoWiw4llwY4FlC14E/vKD3D7i4kEPJaDT82j+Kd9HIszBzNuQAwvOD8hIu9NrD2+qjDUix07hrBmdWUYstvtDEnrQ5+tSTjzKkeJVaR4+Wb5vygq3YNhs5HadQwFuf0oK3ERFm7Qe8dHxH/7PwC+7W/w87FOLmlgV0d1SWTahQMZlBFHt3ZRB+PsiIiINEqh6HCwdyMli/9DYNG/iS3bSnUX5R1WEm8FTuLtpPH4Onfkom4mN3vfIJBfOUO1BYSHD2Tnjn6sXGkABjabjQEZvem3qx1hGyrDkJVsZ/6uz9k8bzEA8eldsIzjKciNAyAjtpBO/3sEV0UhVnwsL59kMqt7OYMrGm4Kc9htXDC0Q2jOh4iIyC+gUHQosiysnNXkL5yOteojEkvWU13XUma5+dwczvSwE5nTYTij+iRzW9QaOhf+kYrdawkAYCM8fDRbNvdg3TofAIZh0L9jL/rvSSN8bWWYMaIdrDeXsPDnTwFwR0YR3/4k8nM6Yxg2omJs9Nr6ITFVtUM5I7txz6htFISbJPkDnFkSd1BPi4iIyK+hUHSo8BRTuvYb8pZ9QcT22SR6dlA9i4/fsjHX7MOH7uP4OO144juncVa6ybX+/2LmvodZXE4FYLOF43SOYfWq9uzc6QV82Gw2+mR0p//e9kRWh6EIB3uis5g9/9/4Ax5sdjvpPY+jILcfBXuc2OzQIyqL1M+mYfd7ICaa98+M572MzWAYHGPG8/DO5WxzqZ+QiIgcOhSK2qqyPPLX/Uje2u9xbJ9H+5LlRBIgsmq1x3Lwvdmfz8NH8792x2DLTOfsDmE8zY/E5D9KedZmqm/HGh7eFY9nFEuXhFFQ4AG8uFwuBnTsTe897XCvNQEw3HYKkvP5fvHblJYUAJDSdQC+wChyd1V+c1IidF/4EuFblgKQe1xf/jhkE7nhWcQ4o7inFE7dWbnuf+4BDDhIp0tEROTXUihqA8yyfLas+pniLYuw56wgIX8Z6b5txAPxtcptNlP4zjaQ2dFDmZM2jJTMdE5JtPNXYwntiv5CcdZCAMoBmy2MiIijydrZnR/mlGGaFuAhKjKKwel96LojDseKAGBiuGwUp5Ty/dK3KVqzB4C41AzC404gf3cSABFRDnpW/Ezc9FcxsCA9hX+eFs4nyZVzER0dkcED6xfRzluOxxnLLaVXUhJ7JhcftLMoIiLy6ygUtTLLssh+9Ci6WNn7rdtoprHQ3pMFkX35LmkoueldGJ0aw/CIMq4y5+EueJrinSsBKAbARnT0cMpK+7NqlZucnCKgFID2ae3pH92F9A1h2JabQAAjwkFpSilzlv2H/LU7AYhJTiUh4ySyN7ejYreB3WHQI34P7T59DHtZEdjtbDq1L/f3XkO5Yy/Rzihu87k5d+UPGMD2xKO5ZPfl7DRjOTPceTBOoYiISItQKGplhmGwwtGZgNfPKkdnVjq7sCymBwuS+xNol8rguCiGR1k8wGpSyv9JYf4cfLl5eIHKOadtxEQPwefrx4YNsWzalAd4AA9Op5O+nXvR25tO5PoABCzAxBbnIi8ulx8X/YfilbkARCUkkdz5JHZvTSd7c2Xfoo7pJh3nPI9r22oAfP2789SYUn6OrpyUcVx0N+5cN5+kimJMRzivRE7izztHAgYn9mrHn87sc3BPpoiIyK9gWJZltfZOHCqKioqIjY2lsLCQmJiYFtvu5fNWscQXoHd0OH0iXfRy5JFprSSy9CeKixZT4cmqU95ujyAqahieil5s2hTNpk17qP1/Y2bHTvSKyaT9jgiMbG/N59LCyXJsZu789/GUV9YgRSUk0a7LGHK2d8TvrQxDqelOumz8iLCfKkedGSnt+PLMdP6etBwMg5SwRO4tCTBm+zIA9iYMYULeRFZVJBHutHPPGb25dERHDEOzU4uISOtr7u+3aoragPvSFuApWUJxyWrK8jdhWX7KgLJgCRvR0f2x2/uRn5fKug0GWVm7qew9VA5ASrsUeqV0oXNRIo4NFVW1Ql5w2DC6uFhfsJAlP39BwF/Z/TohPYPETmPYvTWFrI2VgSopxUX3vO8I+/ebGIDhdrPpjIH8udsKim0rsBl2fhPVnd+vnE1kwIvpiuK92GuYun0YFjYGZcTxxMWD6JwUiYiIyKFGoagNyM+ZQVHxsuB7pzOeqKiBYGVSVJTMzp1O5s3NxufzATnBchkdOtA1KZNOZQm4N3owt/mpDkmO1AiKYgtYtPYLdv5vdfAzKV16EpNyDFkb4ti+xgIs4pJc9PAsJPL9f2AEAmAYlB4/hEeHZLHKtQiA4bHduWPXdnpumgXArpQxXLn7EtZtj8VuM7jxxO5cf0JXHHZbyM+XiIhIKCgUtQHt2p2H0zmcsrIE8vIiWLe9hJycPVhWAKjpgB0ZGUmXTp3JCE8htTAK+/pyrA0BoBQTsEU7MTva2ViwhOWLvsRTVtlEZnc6yRwwCptrADvXuSnMrwxDSelhdPMuJ+K/L4DXA0Bg9BBeP9rL/xyVw+pTw5O5LRDF2CVfYQCB8CSej7iWx7b2AQz6psfwyPkD6Nc+9mCeMhERkRanUNQGfPhhHvn5XmoHIICYmBgy2ncgNTKJNG8cUTvBv7i08v4clGABtmgXRqabXZ5NLFnyBfnLavofxSS3o32vYykp6srOTdWzFlmkZ4bTJX8erv+8Br7KGa0Z1JfpJ4XxrqsyDLntbq6K6snVK78i3FeOZdhY3eFCrt46ll354bgcNm45uQfXHNsZp2qHRETkMKBQ1AakpKTg9/tJTU0lOTaJZHsMyWVROLMD+JaVVPUPKg1OxuhIicBMtbGzfD0rV37L3mXbgttyhoWTOXAk7sh+7NgQyeYVPsCPzWaQ2T2MjC2zsP/zXTArJ2y0D+7P/46L5h/hP2MZYDfsnJs0mMkbFpKy4RMAilOGc2fZBD5dXzln0YjOCfz1vP50SdaNXEVE5PChUNQGjI0djr+wD771pVgVfsAPFFBVh4MtyokzM4oiVwHbclewYdXPFM2r6Vtkszvo0Kc/sSmDKMxNY/u6iqo1PiJjXXRvX0HS4umYf/+25jOjh/PFsRG8bv8Jv1UZt8YlD+GGnZvJ/PkDAAKRqbwdew33bOoNGMSEObh9fC8uHdERm00jy0RE5PCiUNQG+LeU4N1aVPnGZuBMjcCW6qbYXkh20Ua2bFxK9ifrsCwz+BmH00XHAUOISe5LWXE6O9eXk7PDBCowDMjoEUMH3zoivngV86OdmAA2G5wwmg9HGbxj/oRpmWDB6MT+3JhfSN+fPwTAckawpP2l/N/m49iz14FhwCXDM7htbE8So9wH+/SIiIgcFApFbYBraDzlaR7yyneRvWcDWRvXUPDDrv3KJbTPIL3HANyRnSnKS2TnuhKyNlU2rQEkpEXQObmMpFWf43v1f+DzYQL2uDhKTh3F273z+KJ8HgQqt3d8u6FMKq5gwILPAAvL5mBb5kXckj2WRWtcAAzMiOOBs/oyMCPuoJwLERGR1nJQQpHH42HkyJEsXbqUxYsXM2jQoOC6bdu2cf311/P1118THh7OpZdeyrRp03C5XMEyy5cv54YbbuDnn38mISGBa6+9lnvvvbfO5ICzZ89mypQprFy5kvT0dG6//XYmT55cZz+mT5/Ovffey8aNG+natSsPPfQQ5557bsiPvynT//UgBbv3D0GJHTqS2rUn4bGd8PnSyNlisWFJ9exFlTf2iE+LoFN7SMqaDzPfw8zNDTa7ufr0ZuPJPXkxeTnry2ZBORgYjE0ZwaSCAnr+9CFVvbbJzTyDu4vO4X+rIiq/O9LF7eN7cuHQDDWViYjIEeGghKLbb7+d9PR0li5dWmd5IBDg9NNPJzk5mTlz5rB3716uvPJKLMvimWeeASpnoTzllFM44YQTmD9/PuvWrWPixIlERkZy6623ArB582ZOO+00Jk2axL/+9S9++OEHrrvuOpKTkzn//PMBmDt3LhdffDEPPvgg5557LjNmzOCiiy5izpw5jBw58mCchga1y+yCYTNI7tiZ6OQM7M4UPJ5kcrd52bi8pCq3VNYGGTaDlMxo0hN9JGXNx/jmI3xZWVQ3rNkTE/GfMpov+wZ4xzeXYt96KINIZyTnphzFpdnbyJj3n+B3F3cez2MVZ/P6msoh9REuO5OO7cKk47oQ5VZFooiIHDlCfpuPzz//nClTpjB9+nT69u1bp6bo888/54wzzmD79u2kp6cD8M477zBx4kRycnKIiYnhhRdeYOrUqezevRu3u7I/y1//+leeeeYZduzYgWEY3HHHHfz3v/9l9eqaSQonT57M0qVLmTt3LgAXX3wxRUVFfP7558Ey48ePJz4+nrfffrtZxxKq23z88P46sjcVk7uzBL8nsN/6mKQw0jtH0s7MInr9j/jmzsa/Z09wvREejvuYUawansybMStZWbgmuC4jqgOXxfbl7E0/E5VVHUoNCrueyVOes3l1QzgADpvBb0Z05PcndaNddFiLHZuIiEhraxO3+di9ezeTJk3iww8/JCIiYr/1c+fOpV+/fsFABDBu3Dg8Hg8LFy7khBNOYO7cuYwZMyYYiKrLTJ06lS1bttC5c2fmzp3L2LFj62x73LhxvPLKK/h8PpxOJ3PnzuWWW27Zr8yTTz7Z4P57PB48Hk/wfVFR0YGegmbZvbmY7E2FANidNpI6RJHS3k28P5uorBVYi+dSMX0FWFbVfNVgi4zEPeYY1g9K4qPErczZ+wMBKwCF4LQ5OTn9aM7zORmx8jNsxT9WfsjuZm/Xc3m8dBxvraw8n4YBp/VP47axPXV7DhEROaKFLBRZlsXEiROZPHkyw4YNY8uWLfuVyc7OJiUlpc6y+Ph4XC4X2dnZwTKZmZl1ylR/Jjs7m86dO9e7neq5f3Jzc0lLS2uwTPX31Ofhhx/m/vvvb+4h/2IDRifSvX05kflbcG5ZjufrJfi2Vs49VF6rnLtHD6yRg1jTLYzPY7byQ+5s/KYfKm90T+/4Xpwd04PTd64lbs6/oGq0mhWVwqbM3/DInlHMXFZZE2Uz4MyB6dxwQje6p0SH/BhFRETaugMORffdd1+TQWH+/Pn8+OOPFBUVMXXq1EbL1ncndcuy6izft0x1i19LlGnsTu5Tp05lypQpwfdFRUVkZGQ0WP4Xu/9aHNu24QGC9VKGgbtbN5yD+pPdJY6fO1TwZdkiNhR8ABVUPoBucd0YnzCAcUUFZK7+AkpmBjcbyBjF3LgzeGBTT9Yt8AIB7DaDcwa15/oTumryRRERkVoOOBTdcMMNXHLJJY2WyczM5M9//jPz5s2r0+wFMGzYMC677DLeeOMNUlNT+emnn+qsz8/Px+fzBWt1UlNT96vNycmpnLiwqTIOh4PExMRGy+xbe1Sb2+3eb/9DIax3b7As3L164evanp0dwliQVMxPJStYnfdJ5XxCVXfvsBk2BiUP5NjYHhxflE+3tV/C4q9rNhaRRG638/m3bwz/WO2geL0f8BId5uDSER25YnQm7ePCQ35MIiIih5oDDkVJSUkkJSU1We7pp5/mz3/+c/B9VlYW48aN49133w2O9ho1ahQPPfQQu3btIi0tDYCZM2fidrsZOnRosMxdd92F1+sNDtOfOXMm6enpwWa1UaNG8fHHH9f5/pkzZzJs2DCcTmewzKxZs+r0K5o5cyajR48+0FPQ4j65ojsL95ayOm8RhZ5vKgealdasbx/VnqHJAznGHsvo3B3Erv4Wij6qKeCMwNdtHHPDx/DU1kwW/lw9bN9Pp8QIrhqdyYXDMojUaDIREZEGhexXsmPHjnXeR0VVNtV07dqVDh06ADB27Fj69OnDhAkTePTRR8nLy+O2225j0qRJwd7hl156Kffffz8TJ07krrvuYv369fzlL3/hj3/8Y7Dpa/LkyTz77LNMmTKFSZMmMXfuXF555ZU6o8puuukmjjvuOB555BHOPvtsPvroI7788kvmzJkTqlPQbD/snseSPUsAcNgcdI/rTr+EXgyzxzCkuIDUnUtg1WsQqOn0jSOcQJcTWRJ3Iq/v6cn/lpfg9ZtAGU67wdg+qVwyIoOjuyZpniEREZFmCPmQ/GrVI8Xqm7zxuuuu22/yxtrNVsuXL+f666/n559/Jj4+nsmTJ9cJRVA5eeMtt9wSnLzxjjvu2G/yxvfff5977rmHTZs2BSdvPO+885p9DKEakv/Fhk8oyd9AH4+XbvlZuLKXwa6lYPrrFozrSEXnk1nkHsH7ezvzxdoCyrw1Q/i7t4viwmEdOG9IB5J0Ow4RERGg+b/fBy0UHQ5CFYp4ejDkbdp/eUx7zI6jyYobynfe7szYGs7CbQWYtf4fy0gI58wB6Zw1KJ2eKdGNdhwXERE5ErWJeYqkmdr1gbK9kDYQX8pAtrl78GNFJ77MCmPh8gJKPH6oNTatV2o0J/Zqxyl9UhiUEacgJCIi0gIUitqAdzrczc94WJ5VxMY1JVU1QSVVD4gOczAiM4Hje7XjxF7tNHpMREQkBBSK2oB/L8lj2Y7C4PuUGDeDMuIY2TmRkV0S6JUag12dpUVEREJKoagNuGhYBif1SqF/hxj6tY/VvcdERERagUJRG3D5UZ1aexdERESOeLbW3gERERGRtkChSERERASFIhERERFAoUhEREQEUCgSERERARSKRERERACFIhERERFAoUhEREQEUCgSERERARSKRERERACFIhERERFAoUhEREQEUCgSERERAcDR2jtwKLEsC4CioqJW3hMRERFprurf7erf8YYoFB2A4uJiADIyMlp5T0RERORAFRcXExsb2+B6w2oqNkmQaZpkZWURHR2NYRh11hUVFZGRkcH27duJiYlppT08tOic/TI6b7+Mztsvo/N24HTOfplQnjfLsiguLiY9PR2breGeQ6opOgA2m40OHTo0WiYmJkZ/CA6Qztkvo/P2y+i8/TI6bwdO5+yXCdV5a6yGqJo6WouIiIigUCQiIiICKBS1GLfbzZ/+9Cfcbndr78ohQ+fsl9F5+2V03n4ZnbcDp3P2y7SF86aO1iIiIiKopkhEREQEUCgSERERARSKRERERACFIhERERFAoeiAPP/883Tu3JmwsDCGDh3K999/32j52bNnM3ToUMLCwujSpQsvvvjiQdrTtuNAztm3336LYRj7PdasWXMQ97j1fffdd5x55pmkp6djGAYffvhhk5850q+1Az1nutYqPfzwwwwfPpzo6GjatWvHOeecw9q1a5v83JF8vf2Sc6brDV544QUGDBgQnJhx1KhRfP75541+pjWuM4WiZnr33Xe5+eabufvuu1m8eDHHHnssp556Ktu2bau3/ObNmznttNM49thjWbx4MXfddRc33ngj06dPP8h73noO9JxVW7t2Lbt27Qo+unfvfpD2uG0oLS1l4MCBPPvss80qr2vtwM9ZtSP9Wps9ezbXX3898+bNY9asWfj9fsaOHUtpaWmDnznSr7dfcs6qHcnXW4cOHfjrX//KggULWLBgASeeeCJnn302K1eurLd8q11nljTLiBEjrMmTJ9dZ1qtXL+vOO++st/ztt99u9erVq86ya6+91jrqqKNCto9tzYGes2+++cYCrPz8/IOwd4cGwJoxY0ajZXSt1dWcc6ZrrX45OTkWYM2ePbvBMrre6mrOOdP1Vr/4+Hjr5Zdfrndda11nqilqBq/Xy8KFCxk7dmyd5WPHjuXHH3+s9zNz587dr/y4ceNYsGABPp8vZPvaVvySc1Zt8ODBpKWlcdJJJ/HNN9+EcjcPC0f6tfZr6Fqrq7CwEICEhIQGy+h6q6s556yarrdKgUCAd955h9LSUkaNGlVvmda6zhSKmiE3N5dAIEBKSkqd5SkpKWRnZ9f7mezs7HrL+/1+cnNzQ7avbcUvOWdpaWm89NJLTJ8+nQ8++ICePXty0kkn8d133x2MXT5kHenX2i+ha21/lmUxZcoUjjnmGPr169dgOV1vNZp7znS9VVq+fDlRUVG43W4mT57MjBkz6NOnT71lW+s6c4Rsy4chwzDqvLcsa79lTZWvb/nh7EDOWc+ePenZs2fw/ahRo9i+fTvTpk3juOOOC+l+Hup0rR0YXWv7u+GGG1i2bBlz5sxpsqyut0rNPWe63ir17NmTJUuWUFBQwPTp07nyyiuZPXt2g8GoNa4z1RQ1Q1JSEna7fb8ajpycnP2SbLXU1NR6yzscDhITE0O2r23FLzln9TnqqKNYv359S+/eYeVIv9ZaypF8rf3+97/nv//9L9988w0dOnRotKyut0oHcs7qcyReby6Xi27dujFs2DAefvhhBg4cyFNPPVVv2da6zhSKmsHlcjF06FBmzZpVZ/msWbMYPXp0vZ8ZNWrUfuVnzpzJsGHDcDqdIdvXtuKXnLP6LF68mLS0tJbevcPKkX6ttZQj8VqzLIsbbriBDz74gK+//prOnTs3+Zkj/Xr7JeesPkfi9bYvy7LweDz1rmu16yyk3bgPI++8847ldDqtV155xVq1apV18803W5GRkdaWLVssy7KsO++805owYUKw/KZNm6yIiAjrlltusVatWmW98sorltPptN5///3WOoSD7kDP2RNPPGHNmDHDWrdunbVixQrrzjvvtABr+vTprXUIraK4uNhavHixtXjxYguwHn/8cWvx4sXW1q1bLcvStVafAz1nutYq/e53v7NiY2Otb7/91tq1a1fwUVZWFiyj662uX3LOdL1Z1tSpU63vvvvO2rx5s7Vs2TLrrrvusmw2mzVz5kzLstrOdaZQdACee+45q1OnTpbL5bKGDBlSZwjmlVdeaY0ZM6ZO+W+//dYaPHiw5XK5rMzMTOuFF144yHvc+g7knD3yyCNW165drbCwMCs+Pt465phjrE8//bQV9rp1VQ/f3fdx5ZVXWpala60+B3rOdK1Vqu+cAdZrr70WLKPrra5fcs50vVnW1VdfHfwtSE5Otk466aRgILKstnOdGZZV1XNJRERE5AimPkUiIiIiKBSJiIiIAApFIiIiIoBCkYiIiAigUCQiIiICKBSJiIiIAApFIiIiIoBCkYiIiAigUCQiIiICKBSJiIiIAApFIiIiIoBCkYiIiAgA/w8V2fPcEtuOQQAAAABJRU5ErkJggg==",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(distances/si.um, energies/const.h)\n",
"#plt.xlim(0.5,3)\n",
"#plt.ylim(-60000,-40000)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "9b3fd32b",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1200x600 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"new_energies, new_states, new_potentials, index_top, index, swap_index = swapped_loop_distance_3D(distances, energies, states, potentials)\n",
"energies_left, energies_right, states_left, states_right,deltaE_min, occ_num = find_ass_tweezer_3D(new_energies,new_states)\n",
"\n",
"# Create the figure with two subplots (1 row, 2 columns)\n",
"fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(12, 6))\n",
"\n",
"# Plot the full range on ax1\n",
"ax1.plot(distances/si.um, energies_left[:, 0], color=\"red\", label=\"GS left tweezer\")\n",
"ax1.plot(distances/si.um, energies_right[:, 0], color=\"blue\", label=\"GS right tweezer\")\n",
"ax1.plot(distances/si.um, energies_left[:, 1:], color=\"red\", linestyle=\"dotted\", label=\"left tweezer\")\n",
"ax1.plot(distances/si.um, energies_right[:, 1:], color=\"blue\", linestyle=\"dotted\", label=\"right tweezer\")\n",
"\n",
"for i, ind in enumerate(index):\n",
" ax1.axvline(distances[ind]/si.um, color=\"k\", alpha=0.7, label=\"energy crossings\")\n",
"\n",
"ax1.set_xlabel(\"Tweezer distance [um]\")\n",
"ax1.set_ylabel(\"Eigenenergy [a.u.]\")\n",
"ax1.set_title(fr\"$p_l={float(trap.subs(trap.power_tweezer1))/si.uW:.1f}$ uW, $p_r={float(trap.subs(trap.power_tweezer2))/si.uW:.1f}$ uW, $w_l={float(trap.subs(trap.waist_tweezer1))/si.um:.3f}$ um, $w_r={float(trap.subs(trap.waist_tweezer2))/si.um:.3f}$ um\")\n",
"ax1.grid()\n",
"\n",
"# Plot the zoomed-in range (1 to 1.5 µm) on ax2\n",
"ax2.plot(distances/si.um, energies_left[:, 0], color=\"red\", label=\"GS left tweezer\")\n",
"ax2.plot(distances/si.um, energies_right[:, 0], color=\"blue\", label=\"GS right tweezer\")\n",
"ax2.plot(distances/si.um, energies_left[:, 1:], color=\"red\", linestyle=\"dotted\", label=\"left tweezer\")\n",
"ax2.plot(distances/si.um, energies_right[:, 1:], color=\"blue\", linestyle=\"dotted\", label=\"right tweezer\")\n",
"\n",
"for i, ind in enumerate(index):\n",
" ax2.axvline(distances[ind]/si.um, color=\"k\", alpha=0.7, label=\"energy crossings\")\n",
"\n",
"ax2.set_xlabel(\"Tweezer distance [um]\")\n",
"ax2.set_ylabel(\"Eigenenergy [a.u.]\")\n",
"ax2.set_title(\"Zoomed-in Region\")\n",
"ax2.set_xlim(0.5, 1) # Zooming in on the region between 1.0 and 1.5 µm\n",
"ax2.set_ylim(-5e-29,-3e-29)\n",
"ax2.grid()\n",
"\n",
"# Remove duplicates in the legend (labels that appear in both subplots)\n",
"handles, labels = ax1.get_legend_handles_labels()\n",
"unique_labels = dict(zip(labels, handles)) # Remove duplicates\n",
"ax1.legend(unique_labels.values(), unique_labels.keys())\n",
"\n",
"# Show the plots\n",
"plt.tight_layout()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "9ae549e5",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "base",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.12.3"
}
},
"nbformat": 4,
"nbformat_minor": 5
}