LennartNaeve_code/spilling_code/diagonalisation/dysprosium5.ipynb
2025-04-25 20:52:11 +02:00

940 lines
1.3 MiB

{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"from helpers import *"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Investigate jagged occupation plots:"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"initial_power = 410 * si.uW \n",
"\n",
"trap: PancakeTrap = PancakeTrap(\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_tweezer=initial_power,\n",
" waist_tweezer=1.838 * si.um,\n",
" a=184.4*(4 * np.pi * const.epsilon_0 * const.value(\"Bohr radius\")**3)/(2 * const.epsilon_0 * const.c),\n",
"\n",
" wvl = 1064 * si.nm,\n",
")\n",
"\n",
"zr = float(trap.subs(trap.get_tweezer_rayleigh()))"
]
},
{
"cell_type": "code",
"execution_count": 56,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[1.36384664e+14 6.22152653e+09 1.41239502e+06 8.17889438e+02\n",
" 1.10420754e+00 5.54145893e-03] s\n",
"-1.1415563187753798e-28\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 375x375 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"trap[trap.power_tweezer] = initial_power#0.952* initial_power\n",
"plot_solutions(trap,999,-0.5*zr,5.9*zr,n_pot_steps=8000)"
]
},
{
"cell_type": "code",
"execution_count": 48,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[1.22562205e+01 1.06301781e-02] s\n",
"-1.7626752046072707e-29\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 375x375 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"trap[trap.power_tweezer] = 0.952* initial_power\n",
"plot_solutions(trap,200,-0.5*zr,1.9*zr,n_pot_steps=4000)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"100%|██████████| 150/150 [11:51<00:00, 4.75s/it]\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 375x375 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"trap[trap.power_tweezer] = initial_power\n",
"plot_occupation(trap,50,-0.15*zr,1.2*zr,power_fac_down=0.93,power_fac_up=1,n_spill_steps=150,n_pot_steps=int(1e5))"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"100%|██████████| 150/150 [02:10<00:00, 1.15it/s]\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 375x375 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"trap[trap.power_tweezer] = initial_power\n",
"plot_occupation(trap,50,-0.15*zr,1.2*zr,power_fac_down=0.93,power_fac_up=1,n_spill_steps=150,n_pot_steps=int(1e3))"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"100%|██████████| 150/150 [02:11<00:00, 1.14it/s]\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 375x375 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"trap[trap.power_tweezer] = initial_power\n",
"plot_occupation(trap,50,-0.15*zr,1.6*zr,power_fac_down=0.93,power_fac_up=1,n_spill_steps=150,n_pot_steps=int(1e3))"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"100%|██████████| 150/150 [02:25<00:00, 1.03it/s]\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 375x375 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"trap[trap.power_tweezer] = initial_power\n",
"plot_occupation(trap,200,-0.15*zr,2*zr,power_fac_down=0.93,power_fac_up=1,n_spill_steps=150,n_pot_steps=int(1e3))"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"100%|██████████| 150/150 [03:02<00:00, 1.22s/it]\n"
]
},
{
"data": {
"image/png": 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IQl+jUYsWLaRGjRr5jlu+fLkAKFYH+F69ekn9+vVNB5KCwtG9igpH9waeEydOmIYbQ5+IyOXLlwVAnmZmX19fadq0qenxvn37BICsXr1aREQOHz6cJzQMHDhQ7O3t85xWKI78OmS/9tprMmnSJPH29hZvb2+LU2rFVdb19N///lcA5DkYG7m4uEhQUJCI3A26wN3OuKU1ePBgefDBB02Pz507J3Z2dtKqVSuLizaOHTsmdnZ2piZ/437v6uoq165dM003a9YsASBarVYuXLhgGm7s+Hnv6cbiKMs+WRLOzs7SqlWrfMdNnz5dAMjhw4dLtMzSdBE4efKkNGvWzLT/AJA6derIiRMnCpxn0aJFpmlr164t586dK/VySxqOjF8wMzMzReTuMdh4Gr5FixaSlpZmmr5nz54CQCIjI4v9fhg9++yzAkAuX75sGhYSEiJOTk4CQH755RfT8HHjxom9vb0kJiZKWlqaODk5SZs2bSyWd/36dVEUxfQFTKR0HbJFCl7Pxi9w+V0wcufOHYtT4jNmzBAA0r9/f7Gzs5Phw4fLtGnTxN/fXwDI+PHjLebPyMiQwMBA6dChg6nPUEnqL8n2blzP3bp1s1ifa9asEQAyefJk07D7uU2Yq7D7HPXp0wft2rUzPXZ3d0enTp2QlJSE2NjYMi9/9uzZ+PLLL9G4cWOL4cbmxtJejq5SqfDOO++YTkEoioK3334bGo0GX331FQBg3759iIyMxNixYxEcHGyaV61WY9myZXB2dsann34KAHjwwQehUqksbk2wY8cOdO3aFQEBAdi9e7dp+K+//gqdTmdqHv3000/h7u6O0NBQixr79OmDkJAQbNq0CYmJiRbj8mtCzU9qaiocHBzyHWccXtTlwmvWrMH27dvx0UcfwcnJqVjPW1yOjo6YNGmS6XHLli3h5OQERVEwa9Ys03BfX194enri6tWrFvMHBwfj/PnziI+PB3D3lBoA9O7dGwDQtm1buLm5mYYDwP79+9GpU6c8pxVK4t1338WCBQuwYMECLFq0CB9//DGio6Ph7u5equ2+rOspNTXVYtr8lmGc/9atWwAANze3PNPFxMQgLCwsz98nn3ximsZgMGD79u0Wp9S+++475OTkICwszOJUS5s2bfDOO+9g4MCBFs8zdOhQ1K1b1/S4a9euAIAnnnjC4lRYp06dACDPei+OsuyTJVEe+1hZpaamYv78+Thz5gz69OmD2bNn49FHH8WNGzfwzDPPmNb5verWrYs5c+bgiSeewO3btxEcHIyzZ8+WebnFNXXqVNMpaEVR8MADDwAApkyZAp1OZ5rOePqrNNvBI488AgCm7SAjIwN//vmn6VSb+Xbw22+/oVu3bnBxcYFOp8PAgQNx/PhxXLx40TTNhg0bICIYNWpUiWsprsL253u3KeO0W7duxS+//IJvvvkG7733Hv766y907NgRa9assTg1vWjRIly4cAH//ve/oVarS1VbSbf36dOnW6zPRx99FAAs3lej+7FNmMu/g0g5aNKkSZ5hNWrUAIAi769QHA899BAA4O+//8bJkydx8eJFnDlzxnS+1WAwlGq5devWhb+/v8WwGjVqICAgACdOnAAA07/du3fPM7+rqyuCgoJw4MABJCYmwt3dHR07djRthOnp6Thw4ADmz5+Pixcv4ssvv0R6ejq0Wi22bduGXr16QavVIiUlBefPn4ePjw8WLlyY53lSUlKQm5uLU6dOWZzjLW7fCK1WW2CANPYLKywkxMTEYM6cORgxYoRpgy5PDRo0yNN/Sa/Xw8nJCY6OjhbDtVptnp0uJCQEn3/+OQ4ePIiHH34Yv//+O3x9fU3rVqVSISQkBD/99BPS09Nx48YN3Lx5E88991yZ6o6KijL1J8jNzUV8fDx27dqFadOm4dFHH8XWrVvRt2/fYi+vrOtJq9UCKHify8zMNM1v7EdiDJTmYmJisGDBgjzDO3XqZPowOXToEOLj4y1en3FfMYYZc+Yh1+je44axtgYNGuT7usz7MBZXaffJktJqtYW+70Dh6648zJgxA5s3b8Z7772HadOmmYZv2LABw4cPx1NPPYXffvstz3xjxowx/f/bb7/FiBEj8Nxzz5kCQ2mXW1z3Yzvo3bs37O3tsWPHDowbNw779+9HZmYmhgwZgs2bN5tea3h4OG7cuIGZM2ea5h01ahS++OILbNiwwXRPtW+//RZubm54+OGHS1xLcRW2P9+7TRm/4A8aNMj0pRAAnJyc8MYbb+Dhhx/Gd999h549e+LUqVN4++23MWfOHLRq1arUtZV0e793PReWEe7HNmGuwlqO8kuQiqIAuNspsqyuXLmCxx9/HHXr1sUjjzyCmTNnYs+ePejQoUOZnqOgjnDOzs5ITk5Gbm6uqcOmi4tLvtMaO6kak/sjjzyCa9euITIy0rQD9ujRAz169EBWVhYOHDiAY8eO4fbt2+jXrx8AmFqE/v77b1NLhPnf4cOHAeT9ILs3OBTEzc3N9HruZXxu44aan6lTp0JRFKxcubJYz1dSBbVEFfTN5F7Gb/oHDhxAamoqDhw4gD59+lhM07t3b2RlZeHgwYPYt28fAJRrZ2yVSgV3d3cMGjQIa9asQU5OTp5WwKKUdT0ZW4HubWEE7n6BSE1NNc1fr149qNVqXLhwIc+0rVu3htw9DW/6u9dvv/0GLy8vtGzZ0jTMuH0WtK/cq6zrvbhKs0+WlJubW77vO1C8dVdWBoMB69evR9OmTS0CDAAMGzYMvXr1wrZt23Djxo1ClzN8+HC0b98ee/bsQXJycrkttzD3YztwdnZGt27dTC1HO3bsMF0E0KNHDxw+fBgZGRn49ddfAcBiO+jTpw88PT2xYcMGAHc7Wh88eBBDhw61uOiivBW2P9+7TRn/NT+DY9S6dWsAwKVLl2AwGDB+/HjUr18fr7/+eplqK+n2fu/6LCwj3K9jg1Gl/PkQEUH//v2xdetWvP766zh69CiSk5Nx8uRJvPzyy2VadkF38oyPj4ebmxtUKhWcnZ0B3A0uBU0L3P2GClg23+7cuRNarRYdO3Y0fYDv3r3btAMaW2GMG0Lfvn3zfCiZ/z322GOlep1NmjSBwWDAtWvX8oyLiooCADRt2rTA+Tdu3Ij4+Hh4eXlZ3BX6ypUruHnzZp6rUO43Pz8/+Pr64siRI9izZw+ys7Mtvj0B/wShP//8E/v374dOp0OXLl0qpB7j6VdjS0pxlXU9Gb9tGac1d/XqVRgMBtP8jo6O6N27NyIjIxEeHl6iOoG74ejeVjHjdpzfXZPT09PL5YtSaZRmnyypJk2a4Pr168jOzs4zLioqCjqdDvXr1y/lKyjarVu3kJmZiYCAgHzHN2vWDABw7do1iAi2b99e4JW+vr6+AIC4uLgSLRf45wPv3oBv/PJoTY888ghu3LiB8+fPY+fOnejcuTM0Gg1CQkKQmZmJgwcP4tdff4Wfnx8CAwNN86nVagwfPhx//fUXIiMjTSFp5MiRFVpvYfvzvccDY5eT/FphjNuko6Mjrl27hsOHD+PixYtwdHS0OJ4Dd3+xQlEUjB07tsjarLm9lzebC0fGFVKYkydPIjw8HMOHD0dYWBjatm1rakoznhcv7UE3IiIiz2X7cXFxOH/+vOlcpjF1G1sbzKWlpeHIkSPw9/c3Jdr27dvDw8MD27dvx969e9G5c2c4ODjA19cXvr6+2Lt3L3755RcEBQWZDkI1atRA/fr1cfLkyXw37vfffx+LFi1CXFxcqV6n8VTcvbecFxHs3r0b9erVK/Sy4dDQ0Hz/atSoAb1ej9DQ0CJ3pooWHByMY8eOFdgqFBgYCB8fH5w6dQoHDhxA165dK+xbn/HUWHFbUIzKup7q16+P+vXrY/fu3Xn2iZ07dwKARSCcPHkyAOCFF14odB+6d1xSUhIOHTqU5xJ+460KDh06lGcZo0aNgouLS4HfNitSafbJkurWrRuys7NNt2MwSk1NxeHDh9G+ffsCb31RHtzc3GBvb1/gT/QYWwiNX3CGDx+OYcOG5TkdISIIDw+HTqeDt7d3iZYL/HP7insDcn4tlPebMST/8ssvOHz4sOlLjDEk//bbb9izZ0++rYfGvkU//vgj/vvf/6JevXro0aNHhdbbrl076HS6fH8q5N792djtw7xvnZHxNhotWrSAq6trgcdz4O7ZlNDQUAwYMKDQ2qy9vZe7MnXnloKvVnvppZfyTDt8+HCB2eXO+V2Ftn79egEgK1euNA27d7qIiAgBIH379rVYfnR0tAQGBgoAGThwoGl4Sa9WmzVrlmmYwWCQsWPHCgD56quvROTuVWkNGzYUtVptcdl1Tk6O6cq2119/3WLZTz31lHh4eIijo6PFFVJjxowx3RJg7ty5FvMYb6o1d+5ci8sS//zzT7GzsxNfX1/TVXWFXf2Vn7i4OHF2dpaAgACLOyQb77y8cOHCYi3nXuV1tVp+V0h4enrme6loQc9pvMlhUFCQNG/ePN86nnrqKWnUqJGo1Wp56623iqy7IEXdBNJ4tcaECRNKtNzyWE/Gn3UxXqkncveS4iZNmoirq2ueu2AbfzZgyJAhEhsbm2d5Z86ckb59+woA6dKli4iIbNy4URRFyXNp/enTp0VRFGnXrp3FXcdPnDghDg4O0rNnTxEp+OavP//8c56rCkUKP84UV2n2yZKIiIgQtVotwcHBpqtsRP65Y/AXX3xR4mWW9Gq1QYMG5fu+/vjjj6IoinTs2NE0bMqUKfleHfvOO+8IABk3blyplmu8qnLevHmmYdnZ2fLYY48VeLXavceFl156SQBYHG9F/rmdRWluv2FUr14907HffPm+vr5So0YNASA//fRTvvM2atRIWrZsKYqi5LutFHQsK0ph69m4f5pfTWd+h2zzS/S7d+8uAOTbb781DUtMTJRWrVqJnZ1dvlchlrb+kmzvpbmC8X5uEyIVeCl/acPRzp07BYD4+/vLyy+/LNHR0XmmMxgM0rFjR9Ob+NJLL8nYsWPF1dVVXF1dxd7eXnr06GFaZknCkYODg+j1eunWrZvMmjVL2rdvLwDkiSeesJh2z549Bd7nqEuXLqb7HBl9+eWXpstdt2/fbhpu/FAAYHFbAJG7d5U2Pn+HDh3khRdekKeeekq0Wq1oNBqL28cXFjbyu3+OiMiqVasEuHtH1jlz5sjQoUNFURRp2bJlnt/sMl6eXhRbCkfG7Qb/u8Q+P+bv/4EDByzGFfS+5Se/S/lDQ0PlxRdfNG0XPj4+FvemuldFrafExERp3LixKIoiQ4cOtbjvmPnl7EYZGRmmnx3QarXyxBNPyNy5c2X69OnSpUsXURRFgLu/l2S8vH7SpEkFXsZrPFjVr19fpkyZIhMmTBC9Xi9OTk6m9V8e4ej48eMSGhpa7N/FK80+WVLGA3jz5s0tfmuqb9++Fj+xUND9b+5V2LHM+DuX5neGv3r1qtSpU0cAyEMPPSQvvvii6X5wbm5ucurUKdO0sbGx0rhxYwEgffr0kTlz5pgui27WrJncuXOnVMuNiYkx3SZh2LBhMnfuXAkKChJ/f3/x8fEp9w/C/N6HwhjvXq/RaCzeV2MtOp3O4lLx/J4fgPz11195xt97LCuP9XzlyhXx8PAQjUYjY8eONf22mp2dXZ67U0dERJh+d23w4MEyY8YMadiwYbG/WBV0LC7oPS7u9s5wdI/ihKPc3FyZOnWquLi4iF6vl99//z3f6aKjo2X06NHi4+MjOp1OmjRpImPHjpWoqCjp0aOHaDQa085cknDk6ekpx44dk06dOolWq5VGjRrJ4sWL870J36lTp2TIkCHi7u4uWq1WmjVrJm+99ZZFajaKjY0VlUolGo3GYkczvrYaNWrk+xwpKSkyf/58adKkiWg0GvH29pbHH3/c4h5SIoWHDePGkl+4+eqrr6RNmzbi4OAgdevWleeee05u3bqVZzrjAaAothSOjOOAvD9zYHT16lUBIC4uLnl+i62w9+1exm3s3j+dTieBgYEyc+bMIn+ItSLXU0xMjIwdO1Zq1aoler1eOnToIBs3biy0noMHD8pzzz0ngYGB4uTkJHq9Xpo2bSoTJ07M87MDDRs2LLSVZf369dKhQwfR6XTi7Ows/fr1s7gfTnmEI+MyzG/+WZjS7pMlkZubK++9954EBASIg4ODNGjQQF566aU8oba4P0Rc2LHMuE/de4PA6OhomTx5stStW1fs7OzE09NTnn766XxvABkbGytTpkwRHx8fsbe3F19fX5kzZ06e398r6XIPHTokvXr1EkdHR3Fzc5NRo0bJ33//LU2bNi33D8KC3oeCbNy4UYC890ozbk+PPvpogfOeP3/eFB7zc++xrDzWs4jIhQsXZNCgQaZ7BwYHB8uuXbvynfbKlSsyevRoqV27tmi1Wmnbtq2sX7++0OcvqH6jgt7j4m7vlSEcKSJW6hFpg/z8/JCRkYGYmBhrl0I2YtasWahdu7bpcl2ybe+++y7OnDmD1atXW7sUsqKBAwdi2LBhePLJJ61dClVSNtchm8hWpKSkYMuWLaW+7wfdXzk5OfjPf/7D9VXNRUdHY9euXdwOqEwqUddxovtr8+bNGDhwYIXc5JLK3759+9CgQQNMnDix3JedkJBQont6DRgwwHRVK91fX3zxBV5//XXTLQWISoOn1czwtBoR5efy5ct57sRbmLVr11r9VhZEVHoMR0RERERm2OeIiIiIyAzDEREREZEZhiMiIiIiMwxHRERERGYYjoiIiIjMMBwRERERmeFNIKlIubm5yMjIgJ2dHRRFsXY5RESlIiLIycmBVquFSsW2ASoYwxEVKSMjA3q93tplEBGVi9TUVDg6Olq7DLJhDEdUJDu7u5tJamoq7O3tiz1fdnY29Hp9iee7X1hf2bC+srHl+my5NqD09RnnMx7TiArCLYSKZDyVZm9vX6oDZWnnu19YX9mwvrKx5fpsuTag9PWxewAVhSddiYiIiMwwHFGFUalUCA0NtdmOj6yvbFhf2dhyfbZcG2D79VHlxx+epSJlZ2dDo9EgKyvLppvYiYgKw2MZFRdjNxEREZEZhiMiIiIiMwxHRERERGYYjoiIiIjMMBwRERERmWE4IiIiIjLDcERERERkhuGIiIiIyAzDEREREZEZhiMiIiIiMwxHRERERGYYjqqpOXPmQKvVwsnJCU5OTqhVq5a1SyIiIrIJDEfV1IkTJ/D1118jJSUFKSkpiI2NtXZJRERENoHhqJo6ceIEWrVqZe0yiIiIbA7DUTUUHR2NuLg4zJo1Cx4eHujcuTMOHDhg7bKIiIhsAsNRNRQbG4uQkBC8/PLLuHHjBiZMmID+/fsjLi6u0Pmys7NNfwaD4T5VS0SUlyEtrXjTGQwWxy6i4mA4qoZatGiBP/74A126dIFGo8GECRPg7e2Nffv2FTqfXq+HRqOBRqPBwoUL71O1RERAZvRNxG7eiqjXFuLEgwNxKKADsu/EFznfwoULTcctvV5/HyqlqsDO2gXQ/bdv3z6cPHkSkydPNg3LysqCVqstdL7U1FTY29sDAFQq5moiqjgigvQLF3Fn6zbE/fwb0sLPmsbZ1XSDW58QGFJSYV/TrdDlzJ8/H/PmzQNwt/WbAYmKg+GoGnJwcMDcuXPRokULdO7cGatWrUJGRgZ69OhR6Hz29vamcEREVBGy4xNw+7tNuPX1d0g/fxEAoHZygvuDveDcthWcWgTBoY437Hy8oCpG0FGr1VCr1RVdNlUxDEfVUPv27bFq1SqMHTsW0dHRaN26NbZs2VJkyxERUUXJvhOPv1d/iphP1yM3LR1qF2d4PNEPbj0egFPrFlDZ8eOK7h9FRMTaRZBty87OhkajQVZWFluOiKhcSW4ubn3zX1xZ9H8wJCZB61cf3iOHwi2kO1QOmgLnU3t7FqvlyByPZVRcjOJERGQVWbdjETntRSTu2Q9795qo/9pc1OwdDIV9GsnKGI6IiOi+Sz5yHOcmTkf2rduo1f9h1JsyAWq9o7XLIgLAcERERPdZ/LYdOD9pFgCgwWtz4d63p5UrIrLEcERERPdN3JZfcH7KbNg56dH47TegD2xi7ZKI8mA4IiKi+yJh115ceH4O7F1roMmKxdD51rN2SUT5Yq83IiKqcKnhZ3Bu/DSotFo0/r+FDEZk09hyREREFSr7Tjwixj8PyclBk6UL4ejfwNolERWKLUdERFRhxGDAhSmzkXX9b/jOmgqn5s2sXRJRkRiOiIiowvy96hMk7tkPj8cfQa1+D1q7HKJiYTgiIqIKkXIyHNeWvg9tA1/Ue/5Za5dDVGwMR0REVO4M6em48PxcQFHQ8LW5UDk4WLskomJjOCIionJ3bclKZFyMgs8zT8GxUUNrl0NUIgxHRERUrpIOHEb0ms+hb94MXsMHWbscohJjOCIionJjSE1F5KxXoNJo0OCVWVDUamuXRFRiDEdERFRurixaisyr11HnuXHQ1q1j7XKISoXhiIiIykXC7n24+fnXcG7TCrUH9rd2OUSlxnBERETl4vryD6HSauH30kwoKn68UOXFrZeIiMosNzMLKSdOwalVczh4e1q7HKIyYTgiIqIySz11GpKVDadmAdYuhajMGI6IiKjMko+dAADogxiOqPJjOCIiojJLOfoXoChsOaIqgeGIiIjKLPnoX9D5+UKtd7R2KURlxnBERERlkvl3DLKiY3hKjaoMhiMiIiqTlKN/AQCcGI6oimA4IiKiUhMR3Pn1dwCAnv2NqIpgOCIiolK7vuJDxH6/Bc5tWkHrW8/a5RCVC4YjIiIqlVsbvsf1ZR/AsWljNHpzPhRFsXZJROWC4YiIiEosOzYOl8MWw76WOxq/8wavUqMqheGIiIhK7Mqi/4MhMQn1nn8W9q41rF0OUbliOCIiohJJ/PMQbn+3CS4d28EtpJu1yyEqdwxHRERUbLlZWYh6JQyKxh71Z05hPyOqkhiOiIio2KJXr0X6hUvwfmo4tHW8rV0OUYVgOCIiomLJuHwV11d+BId6deD15FBrl0NUYRiOiIioSJKTgwvTX0RuRgZ8X3geKo29tUsiqjAMR0REVKQbH/wbKUf/gufQAXBp28ra5RBVKIYjIiIqVMLu/bi+4kPoGvihzsSx1i6HqMIxHFVjZ86cgVarxeXLl61dChHZqLSI8zj/7HSotA5oGPYyVA4aa5dEVOEYjqqpnJwcjBs3DpmZmdYuhYhsVOrpCJwdNRG56RnwXzgPOr/61i6J6L5gOKqmFi9ejG7dePM2IsrfnV//QPjAkciOu4MG82bDpW1ra5dEdN8wHFVDJ06cwLfffotFixZZuxQisjFpFy4i4pmpOPfMVChqNZosexM1ewVbuyyi+8rO2gXQ/ZWVlYVx48Zh9erV0Ol0JZo3Ozvb9H+VSgW1Wl3e5RHRfZablYXUU2eQfPgo7vzyB5IPHwMAuPXsjnpTJkBT28PKFZaNwWBAbm4uAMtjGFFhGI6qmTfeeAMhISHo2rVriefV6/Wm/4eGhiIsLKwcKyOiipabnY2Mi1FIDT+L1NNnkXrqNFKOn0JuRgYAQNFoULNvT3g88SicWwRZudrysXDhQixYsMDaZVAlo4iIWLsIun8CAgIQHR1t+j2kxMREODs74+OPP8bIkSPznSc7OxsajQapqamwt7974ze2HBFVDpKTg8R9BxD7/Rbc+XkbDCmppnEqnQ5OQQFwahEEp5bNoA8MgFqntWK1xaf29oTK7AtbQe5tOdLr9cjKyjIdy4jyw5ajaiYiIsLisaIoOHnyJPz8/Iqc197engcUokoi48o1xKxdj9jvtyA7Ng4A4BjQBC7tWsOxsT8cGzeEg483FFXV7nqqVqv5RY5KjOGIiKgKSb8YhWv/9x7itvwCiEBbvy48nnkKNXuHQFvXx9rlEVUKDEfVHM+qElUNhrQ0XHv7XUSvXQ8YDKjRuQM8hw2Ec9tWptPoRFQ8DEdERJVc8uFjuDD9RWRevQ59s6aoO2VClelQTWQNDEdERJWUiODmZ1/hcuhiKGo16k17DrUH9ofCPjZEZcJwRERUCUluLq4seBvRn3wGhzre8F/4Ghz9G1i7LKIqgeGIiKiSEYMBF+fOx+1vN8KpZXM0ems+7JydrV0WUZXBcEREVImICKLmv4nb326ES6f28H/jVai1lePeRESVBcMREVElcmPlR7j52VdwbtsKjRbNh0rDe48RlbeqffcvIqIqJG7LL7i29D04NvZnMCKqQAxHRESVQNqFi4h84VXYubmi0eJQqPWO1i6JqMpiOCIisnGG9HScnzgNuRkZ8A97BRqPWtYuiahKYzgiIrJxV99civQLl1Bnwhg4t25h7XKIqjyGIyIiG5awcw9i1n4Jp1bN4TV8kLXLIaoWGI6IiGyUISUFF+fMh8rREQ1emc07XxPdJwxHREQ26tr/vY+s6BjUfW4cHLw9rV0OUbXBcEREZINSTp1G9KdfQN+sKTwef8Ta5RBVKwxHREQ2RgwGXHopFFAA39nToKh4qCa6n7jHERHZmJjPv0bqiXB4DhkAx0YNrV0OUbXDcEREZEOyYm7i2pIV0NT2gM/YUdYuh6haYjgiIrIhl0MXw5CSivozJ0PtqLN2OUTVEsMREZGNiN++G3FbfoFrty5w7drZ2uUQVVsMR0RENsCQno6oVxdApdOh/ozJ1i6HqFpjOCIisgFX3ngHmdduoM74p6Gpzd9OI7ImhiMiIiu7/f2PuPn513Bu2wq1Bz1m7XKIqj2GIxt38+ZNa5dARBUo8/oNXHrxddi710TD+S/yJ0KIbADDkY1r164djh49au0yiKiCJOzej9y0dNSbOhH2Nd2sXQ4RgeHI5tnb21u7BCKqQGkRFwAA+mYBVq6EiIzsrF0AFW7o0KHo27cvhg4dioYNG0Kns7zvyfTp061UGRGVh7SI81DpdNB4eli7FCL6H0VExNpFUMEaNGhQ4DhFUXDp0qUKryE7OxsajQZZWVlsySIqZ0dadYWmdi0EfrTC2qVUKmpvT6j0+hLNw2MZFRdbjmxcVFSUtUsgogqSHRuH7Ng41OjUztqlEJEZ9jmqBLKysvD1118jLCwMd+7cwc6dO3Hr1i1rl0VEZZR27m5/I10DP+sWQkQW2HJk465cuYJevXohLS0NsbGxGD16NN577z3s2bMHv//+O1q1amXtEomolP4JR75WroSIzLHlyMbNmDEDPXr0wPXr16HVagEA33zzDR566CG88MILVq6OiMrCeKUawxGRbWHLkY3bs2cP9u7dC7XZjeE0Gg1ef/11tG/f3oqVEVFZpUWch10NF9jx/kZENoUtRzZOpVIhLS0tz/Do6GhTSxIRVT4igvRzF6Bt4AtFUaxdDhGZYTiycUOGDMHs2bNx5coVKIoCEcGRI0cwdepUDBw40NrlEVEp5CQk4vqKD2FISYUjO2MT2RyGIxu3bNky1KlTBw0bNkRKSgoCAwPRqVMnNG3aFEuXLrV2eURUQkmHj+F4t4dwfdkH0HjWRq3HHrZ2SUR0D94EspK4fPkyTp8+jZycHDRr1gyNGzcu0/L++9//Yt68ebh+/ToCAwPx3nvvoUuXLvlOyxunEZWPuJ+34cLUOVBUCupPn4SaD/aCyo5dP0uDN4GkisS9shLIycnBsWPHEB4eDo1GA5VKhUaNGpW6n8Lly5cxZswY/PHHH+jUqRPWrl2LYcOG4dq1a+VcOREZxaz7ClGvLYSdaw00fnsB9E3L9gWHiCoOw5GNi4qKQq9evRAbG4smTZogNzcX58+fh7+/P3744Qf4+fmVeJl+fn6IiYmBk5MTEhMTERsbC3d39/IvnoiQm5WFq0tWIHr1WjjU8UGTpQvh4ONt7bKIqBA8rWbjevbsCXd3d3z66adwcXEBAMTFxeHpp5+GiODnn38u9bJPnTqF1q1bw87ODlu2bEHfvn3znY5N0USlk3o6Ahdnv4rUU2egbxaARotDYe9aw9plVQk8rUYVieHIxul0Ohw/fhwBAQEWw8PDw9GxY8d8L/MvruzsbADA+vXrMWPGDFy8eBEeHnl/GZwHFKLiE4MBSYeOImbtl7jz06+ASgXvp4bDe8yT7F9UjhiOqCJxT7VxTZs2RXh4eJ5wFBkZWapTauaMB4dx48Zh+fLl2L17NwYPHlzg9MYwBdy9/5L5jSmJqqucxCSknjqDlJPhSD0RjqRDR5B9KxYAUOOBTvAZNwr6Jo2sXGX1ZTAYkJubC8DyGEZUGIYjG/TDDz+Y/v/4449j4sSJOH/+PDp16gS1Wo0TJ05g4cKFeO2110q1/N9//x1vv/02tm3bZhqWlZUFV1fXQufTm31LCw0NRVhYWKmen6gyEhFkRF1B6slwpJ6OQFrEBaRFnEPW3zH/TKQo0Pn5otbTvVGzVzB0Df2sVi/dtXDhQixYsMDaZVAlw9NqNkilKt7tpxRFgcFgKPHyjZ27V61ahSFDhuDjjz/GihUrEB4eDp1Ol2d6Y1N0amqqqbWJLUdUHRjS03F7wybc+WUbUk6Ew5CYZBqn2NtD61sPuga+cGzSCPqmjeHY2B9qx7z7EJW/4p5Wu7flSK/X87QaFYnhqJrau3cvpk2bhqioKLRt2xYfffQRmjZtmu+0PE9P1U3W7VjErPsKNz/7CjnxCVA0Gjg28Yc+oAn0AU3g2Ngf2rp1oNjxC4K1sM8RVSSGIyoSDyhUXaRHXsLf/1qL299thmRlwcHHG57DBsD94b5Q6/hbhraE4YgqEvsc2biDBw/i+eefR3h4OLKysvKML81pNSKylJOQiKtLVuDm+m8BEeibBcDrycFw7doZCk8fE1U7DEc2bvz48fD29sa6deug1fKbK1F5i9++GxdnvYLs2Dg4tWqOus+OhVPzZtYui4isiOHIxkVFReE///lPnkv5iahsxGDAlbeWIfrjT6F2doLfK7Ph/lCvUv8sDxFVHQxHNu7BBx/EwYMHGY6IypEhLQ0XpsxG/LYd0AcFouHrL8LBy9PaZRGRjWCHbBt348YNtGnTBl26dEGDBg3yXOa/fPnyCq+BnRipKslJTMKZkROQ+tdJuD/YC74vzoCK23Wlww7ZVJHYcmTj5s6di8TERMTExCApKcliHJv/iUomJynZFIy8Rg1DnYljuB8RUR4MRzZu8+bN+Omnn9CnTx9rl0JUqeVmZiFi7KS7weip4agzYTSDERHlq3i3YiarqV27Nry8vKxdBlGlJiK4OPtVJB88itqDH2cwIqJCMRzZuBUrVuD555/H4cOHERcXh6SkJIs/IirajZUfIfb7LXDt1hn1pk5kMCKiQrFDto1zc3NDSkqK6beBjESk1L+tVlLsxEiVWcLufTg7cgJ0/g0Q8MFS3um6imCHbKpI7HNk4zZt2mTtEogqrcy/Y3Bh6hyo9Y7wf2MegxERFQvDkY0LDg62dglElZLk5iJy5svIuRMP/4WvQVvH29olEVElwXBk43r16lXo+O3bt9+nSogql5uff42kfQdQ67FH4NbjAWuXQ0SVCMORjWvVqpXF4+zsbERGRmLv3r149dVXrVQVkW1Lj7qCK4v+DxovT9SbMt7a5RBRJcNwZONWrFiR7/B3330XBw4cuM/VENk+MRhwcdYryE3PgN/iMKgdHa1dEhFVMryUv5IaMGAAtmzZYu0yiGxO9L/XIfnwMdQe8gRc2rS0djlEVAkxHFVCubm5+Pjjj+Hq6mrtUohsStr5SFx9+1041KuDOhPHWLscIqqkeFrNxrm5ueW5YV1aWhqys7Px/vvvW6kqItsjBgMuvvAqJCcHDV5+AWotL9snotJhOLJxK1euzDNMo9GgU6dOaNiw4f0viMhGRf/7M6QcPwnP4YPg1DzQ2uUQUSXGO2RTkXhXWbJ1aecjcfLhwdB41ELQpx9A5eBg7ZKogvEO2VSR2HJk4zIyMvDRRx/h4MGDyM7Oxr1ZduPGjVaqjMg25GZk4sLkFyA52WjwyiwGIyIqM4YjGzdp0iRs2LABDz/8MGrUqGHtcohsiojg8htvIy3iPHzGPw2n5s2sXRIRVQEMRzZu48aN+Prrr/HEE09YuxQimyIiuPb2Stz87Cs4t24J71HDrF0SEVURvJTfxmm1WgQGsnMp0b2ur1yFG++vhj6wKfwXvQZFrbZ2SURURTAc2bgJEybgzTffRFZWlrVLIbIpMWu/hEMdHzRZ9ibsnJ2sXQ4RVSE8rWbjzpw5g59//hnff/896tWrB4d7OpseO3bMSpURWU9OQiJy4u6gxsN9oNbz50GIqHwxHNm4Nm3aoE2bNtYug8impF+6DADQ1qtj3UKIqEpiOLJxoaGh1i6ByOZkXIwCAGjr17VyJURUFbHPERFVOv+0HDEcEVH5Yzgiokon/WIUoChw8PG2dilEVAUxHBFRpZNx6TI0Xp5QOWisXQoRVUEMR0RUqUhuLjKirrAzNhFVGHbIrgR++uknhIeHIzMzM8+4119/3QoVEVlPVnQMcjMyGI6IqMIwHNm4yZMn49///jcaN24MrVZrMU5RFIYjqnbSjVeqMRwRUQVhOLJxX3/9NdavX48RI0ZYuxQim/BPOOKVakRUMdjnyMa5urqiRYsW1i6DyGakR14CwHscEVHFYTiycYsWLcK0adPw119/ISEhAUlJSRZ/pbF582YEBQXBxcUF7du3x759+8q5aqLyJbm5uPnlBpzo/ThurvsKKp0O9rXcrV0WEVVRPK1m42rVqoXjx4+jXbt2FsNFBIqiwGAwlGh5UVFRGD16NH744Qd0794dX3/9NR5//HFcvnwZzs7O5Vk6UblIj7yEiy++juSDR6B2cYb7Q73h/nBvKCp+tyOiiqGIiFi7CCqYv78/2rRpg/Hjx8PRMe8PbAYHB5doebt27cKPP/6IpUuXmoa5u7vjt99+yxPAjLKzs6HRaJCVlQV7e/uSvQCiUsrNzMLfH3+K6ytXQbKy4PFEP9R5dizsnPTWLo1sgNrbEyp9ybYFHsuouBiObJxer0d4eDgaNGhQIcs/cOAAevbsiZs3b8LFxSXfaXhAofspNzMLsZu24Nqy95F1Ixpa33rwnTsdzi2CrF0a2RCGI6pIPK1m4/r164c//vgDEyZMKPdlR0ZGYvDgwVi4cGGBwYjofjCkpCDp4FEk7NiN2E0/ISc+AWpnJ9Sd9AxqD34CKg0/yIjo/mE4snGtWrXCjBkzsHHjRvj7++f5trN8+fJSLffQoUPo378/pkyZgjlz5hRrnuzsbNP/VSoV1Gp1qZ6bqqfc7Gxk3YhGxtXryLx6DelRV5B+PhJp5yORdf1v03Ta+nXhNXwQavV/GHbOTlasmKoCg8GA3NxcAJbHMKLC8LSajevZs2eB4xRFwfbt20u8zF9//RXDhg3DsmXLitUiZWyKNhcaGoqwsLASPzdVDxlXruHOz78hPTIKGVeuIfPadWTeiAb+9yFlpNjbQ1uvDnR+vnAMbIIa7dtA28AXiqJYqXKqLIp7Wi0sLAwLFiywGMbTalQUhqNq5sKFC2jbti3WrVuHwYMHF2seYzhKTU01HVDYckTmRASpJ8IRv30XErbvRsrxk6ZxKkdHOPh4wcHL8+6/3l7Q+HhB6+MNBx9vKHbcjqjkihuO7m050uv1DEdUJIajSiA5ORn//ve/cfr0aRgMBgQGBmLMmDHw8vIq8bLmzJmD5cuX57ny7eeff0b37t3znYedGKkgmX/H4OaXGxC78QdkXr0O4G4Ycu3SATUf7AV9QBPY1XBhSxCVO3bIporEcGTjwsPD0adPH9jb26NDhw4wGAw4evQo0tPTsWfPHjRr1qzCa+ABhe6VduEirq9chbgffwEMBth71ELNnt3h2v0B6Js1hcqO3RmpYjEcUUViOLJxffv2hYeHB9atW2fq95OZmYmxY8ciISEBP//8c4XXwAMKGWXHxuHKW8twe8P3gAic27WG5+AnUKNzeyg8zUr3EcMRVSSGIxun1+tx5MgRBAYGWgw/ffo0unTpUuqfECkJHlBIRHDrm//iyhtvw5CUDOe2rVBnwhg4BQVYuzSqphiOqCKx7dvGubu74/bt23nCUWxsbJ4ryIgqQnZ8Ai7Onof4X/+AvUct+C2cDtfuD7AfERFVWfxxIhs3ZMgQTJo0CQcPHoSIQERw8OBBTJ06FQMHDrR2eVTFpZ45h1OPDkH8r3+gZu9gBK39EG49ujIYEVGVxpYjG7dw4UJERESgS5cupmbgnJwcPPHEExa/j0ZU3uK378b5Z2dAsrPhO/t5eDz+qLVLIiK6L9jnqJI4ffo0zpw5AwcHBwQGBqJx48b37bl5nr76uf3fH3DxhVehctSh0Zuvw7klf9eMbAv7HFFFYsuRjWvYsCGOHDmCoKAgBAX98wH1999/o3Xr1rh165YVq6Oq6PZ/NiNy5svQeNRC4/9bCJ1ffWuXRER0XzEc2aDvvvvOdIn+5cuXMXXqVOh0OotpLl++DJWKXcaofMX9+AsiZ70CTW0PNH3vbTh4eVq7JCKi+46frjaoW7duSEhIQHx8PAAgMTER8fHxpr+EhATUrVsX3377rZUrpaokftsOXHh+DuzdXNFk+VsMRkRUbbHPkY0bN24c3n33Xbi4uFitBp6nr/oSdu9HxJjnoNY5oul7b/NUGtk89jmiisRwVEmkpqbCYDAAuHtDvszMTBw9ehSPPPJIhT83DyhVW/KR4zgz4hkodmo0XbEYjo39rV0SUZEYjqgisc+Rjdu1axfGjRuHK1eu5Bnn4OCAtLQ0K1RFVUVaxHmcHf0cIILGSxYwGBERgX2ObN4LL7yAoKAg/PLLL9Dr9di4cSPef/99uLq64vPPP7d2eVSJpZwMx+kho5Gbmgb/Ra/BqXlg0TMREVUDbDmycadPn8bnn3+OoKAgtGvXDjqdDlOmTIGrqyuWLl2KIUOGWLtEqmTEYEDs5q2IeiUMuVnZ8F/0Gmp0aGvtsoiIbAZbjmycg4MD9P87r960aVOcPHkSwN0r2s6ePWvN0qgSyrwRjb9C+iFy2lwAQJOlC+HapaOVqyIisi0MRzbugQcewIcffgiDwYAWLVqY7n904sQJODg4WLk6qmxiN21BxqXLqD10AFp8tQbOrVpYuyQiIpvD02o27q233sLDDz8MT09PTJgwAUuWLEH9+vVx+/ZtTJ482drlUSWTceUaAMB71DDY1bDe7SGIiGwZw5GNa9OmDaKiopCamgpXV1ccOXIEGzduhLu7O4YOHWrt8qiSybx2HSqdFnauNaxdChGRzWI4qgQcHR3h6OgIAPD09GSLEZVaxpVrcPD2gqIo1i6FiMhmsc8RUTUhOTnIuhENB28va5dCRGTTGI6IqonM6BhITg40PgxHRESFYTgiqiYyr14HALYcEREVgeGIqJrIMIYjthwRERWK4Yiomsj832X8bDkiIiocwxFRNZFx1RiOPK1cCRGRbWM4IqomMq/egL17Tah4Z3UiokIxHBFVExlXr7G/ERFRMTAcEVUDhpQU5MTdYX8jIqJiYDgiqgaSDh0DAN7jiIioGPjzIURVWMbV67gwbS5SjhwHAOibNLJyRUREto/hiKiKSjkZjojRzyE79g7cH+4DjycehVOzAGuXRURk8xiOiKqgpMPHcHbUBEh2DvwXvAK34G7WLomIqNJgOCKqYozBCCJosnQRnFs1t3ZJRESVCsMRURViHowav/0GnFsGWbskIqJKh1erEVURSYeOMhgREZUDhiOiKiBuyy84M+IZIJfBiIiorBiOqrHly5dj7Nix1i6DykBycnBt2fs4/9xM2On1aLpiMYMREVEZMRxVQ5mZmZg/fz7mzp1r7VKoDNLORyJ84ChcX/4hdI0aIuDj5dAHNrF2WURElR47ZFdDY8eORXJyMiZOnIiMjAxrl0MllHbhIv7++FPc3vA9IALPEYNRZ/xoqDT21i6NiKhKYDiqhpYvXw5vb2+EhYXh8uXL1i6HiinjyjVEvvAqkg8cBgA4t26JupOeYWsREVE5Yziqhry9va1dApVQavhZnH1qArLj4lGzb094PPYwnFo2h6Io1i6NiKjKYTiiYsvOzjb9X6VSQa1WW7GaykNEYEhKRlZ0DLJibiLr5i3kxCcgJyEJOYlJyElMRE5iEgzJKcjNyERuRgZyMzIgmZn/e5wJycmBorG/e7frHl2t/ZKIKg2DwYDc3FwAlscwosIwHFGx6fV60/9DQ0MRFhZmvWJskIgg6+8YpJwMR1rEeWRcjEL6xShkXLoMQ0pqofOqtA5Q6/VQOWigODjAzskJKveaUGk0UDk4QKXTwmNAPzi34JVoRCWxcOFCLFiwwNplUCXDcETFlpqaCnv7u51+VSpe6GhIz0DqiVNIOngUyUeOI/VkOLJj4yymsa/lDsdG/tB4e0LjUQsaD3fYu7vDroYL1M5OsHN2gtrZCSp7dqYmqgjz58/HvHnzANxtOTL/kkdUEIYjKjZ7e3tTOKpubm34HukXL0Gt1yPr7xiknolA6qnTkKy7zfSKnR10/g3g+kAnOAY0hmOjhtDWqwO1o6OVKyeq3tRqNbsAUIkpIiLWLoJsW3Z2NjQaDbKysqplOMq4eh3HH+gLmO0qamcn6JsFwLllEJxaNoe+aWOoHDRWrJKoelF7e0JVwlag6n4so+JjyxFREW59uQEQQYN5c6CtXxf27jVhX8udV4oREVVRDEdEhcjNysKtb/4LBx9v1OwTAoV9rYiIqjwe6YkKEf/rdmTHxqHWYw8zGBERVRNsOSLKR/Lxk4j9fgvitvwMxc4OtR7pa+2SiIjoPmE4IjKTeuYcri5ehoTtuwHcvRS/7pQJsHdztW5hRER03zAcEQEwpKfj+rIP8Pe/1gG5uajZKxheI4dA16ghO14TEVUzDEdU7aWeOYcLU19A+vmLcGzaGL5zpkHfpJG1yyIiIithOKJqS0QQs3Y9riz8P8BgQJ1nx8JrxGAovGEcEVG1xnBE1VL2nXhcfOFVxG/bAQcfLzR4/SU4BTa1dllERGQDGI6o2kk+fAznJ7+ArOgY1OzbE76zpkKt5898EBHRXQxHVG1Ibi6i/7UWVxevgKJWw+/lWbxEn4iI8mA4okpNcnOLdXPGrFu3cXHOa0j4Yxe09evBf8Er0DX0q/gCiYio0uEtf6nSyo67g8PNO+PSKwsgOTn5TiO5ubj9n8040bM/Ev7YBfeHeiNw9UoGIyIiKhBbjqjSyoi6AkNiEm5+/jUyb/yNhotD4VDHBwCQm5mFhB27cf29j5F6Ihx2rjXgv3Ae3Hp0tXLVRERk6xiOqNLKSUoGAGi8vZDwxy4c69gL+lbNAUVBxqUrMCQlQbGzg+fQAfAe/STsXJytXDEREVUGDEdUaeUkJgIA6k56BiqNPeJ+/QPJf52CSqOBto43XJ8cDPc+PaGpXcvKlRIRUWXCcESVliExCQBg5+IEl7at4fpAJytXREREVQE7ZFOllZN497SanRNPlxERUflhOKJKy3haTe2st3IlRERUlTAcUaWV87/TamonJytXQkREVQnDEVVahqQkQFH40x9ERFSuGI6o0spJSILayalYd8gmIiIqLn6qUKWVk5gEtRP7GxERUfliOKJKKycxEXbO7G9ERETli+GIKi1DUjLUDEdERFTOGI6oUhKDAYakZNjxtBoREZUzhiOqlIy/q8bL+ImIqLwxHFGlZDCGI55WIyKicsZwRJWS8e7Ydmw5IiKicsZwRJVSTsL/7o7NliMiIipnDEdUKRmS7oYjXspPRETljeGIKqV/fleNV6sREVH5YjiiSskUjthyRERE5YzhiColQyJPqxERUcVgOKJK6Z/TagxHRERUvhiOqFLiaTUiIqooDEfV1MGDB9GmTRvo9Xp0794dFy9etHZJJZKTlASVTguVnZ21SyEioiqG4agaysjIwMCBAzF37lzEx8ejb9++GDt2rLXLKhFDYhJPqRERUYVgOKqGduzYgZo1a2LkyJHQaDSYN28ewsPDERERYe3Sii0nIZE/OktERBWC4agaioiIQEBAgOmxWq2Gv78/zpw5Y8WqSiYnKZn9jYiIqEKww0Y1lJqaCkdHR4thjo6OSEtLK9fnSTt3AemRl8p1mUaGxCSomzaukGUTEVH1xnBUDTk6OiI9Pd1iWFpaGpyK6MOTnZ1t+r9KpYJarS50+tgffsaNlatKX2gRNHW8oXJzrbDlE5HtUuztizWdwWBAbm4uAMtjGFFhGI6qoYCAAHz22WemxwaDAZGRkWjatGmh8+n1//TxCQ0NRVhYWKHTu/d/CI5N/MtUa4EUFWp06wx1TbeKWT4RVQkLFy7EggULrF0GVTKKiIi1i6D7Kz09HQ0aNMA777yDESNGYMmSJdi8eTOOHj2a7/TZ2dnQaDRITU2F/f++rRWn5YiIyNrubTnS6/XIysoyHcuI8sMO2dWQTqfDTz/9hPfffx/u7u7Ytm0bNmzYUOR89vb2pj8GIyKqDNRqtcWxi6g42HJERTK2HPHbFhFVZjyWUXGx5YiIiIjIDMMRERERkRmGIyIiIiIzDEdEREREZhiOiIiIiMwwHBERERGZYTgiIiIiMsNwRERERGSG4YiIiIjIDMMRERERkRmGIyIiIiIzDEdEREREZhiOiIiIiMwwHBERERGZYTiiCmMwGBAWFgaDwWDtUvLF+sqG9ZWNLddny7UBtl8fVX6KiIi1iyDblp2dDY1Gg6ysLNjb21f4fPcL6ysb1lc2tlyfLdcGVN1jEtkOthwRERERmbGzdgFk+4yNi9nZ2SWazzh9See7X1hf2bC+srHl+my5NqD09Rmn5wkTKgpPq1GR0tLSoNfrrV0GEVG5SE1NhaOjo7XLIBvGcERFys3NRUZGBuzs7KAoirXLISIqFRFBTk4OtFotVCr2KqGCMRwRERERmWF0JiIiIjLDcERERERkhuGIiIiIyAzDEREREZEZhiMiIiIiMwxHVCoHDx5EmzZtoNfr0b17d1y8eDHPNMnJyRg3bhzc3d3h6+uLjz76yDQuMTERI0aMQM2aNeHh4YFZs2YhJyfHJmoz9/TTT2Ps2LHlUld51ZecnAy1Wg0nJyfT3/Lly22mPgBYunQpfHx84ObmhlGjRiE9Pd1m6gsKCrJ47zQaDZo0aWIz9WVnZ+PZZ5+Fh4cHateujRdeeAG5ubk2U19x952yWL58eYH7XW5uLmbOnAl3d3fUrl0bb7/9drHGEZWIEJVQenq6eHt7y5dffimZmZmyYMEC6datW57pJk6cKCEhIRIXFyeXLl2Shg0byvfffy8iIuPHj5eRI0dKWlqaxMXFSatWreSTTz6xidqMNm3aJCqVSsaMGVPmusqzvr1790rLli3Lrabyru/bb7+Vhg0byqVLlyQ5OVn69u0roaGhNlOfuYSEBGnYsKH8+OOPNlPfihUr5MEHH5SUlBS5deuWNGvWTNauXWsz9RX3vS2NjIwMee211wrd71auXCmdOnWSuLg4uXDhgvj5+cnvv/9e5DiikmA4ohLbunWrBAUFmR7n5OSIq6urnD171mI6Dw8P2bt3r+nxO++8IwMGDBARkaysLMnIyBCDwSCnT5+Wpk2bysaNG22iNhGR27dvS5MmTWT8+PHlGo7Ko74PP/xQnn766XKrqbzr69Onj3z22WemcTExMRIVFWUz9Zl77rnnZMKECeVSW3nVN3XqVOndu7ckJibKrVu3pHnz5vLNN9/YTH3FfW9LY8SIEdKvXz957rnnCtzvOnbsKN99953p8dKlS2X48OFFjiMqCZ5WoxKLiIhAQECA6bFarYa/vz/OnDljMZ3BYLC4Rb9arTY14dvb28PBwQHDhg1DUFAQfH198dhjj9lEbQAwZcoUvPjii6hbt26Zayrv+k6cOIHz58+jadOmqFOnDmbPno2srCybqe+vv/5CcnIyWrduDS8vLyxcuBDe3t42U5/R2bNn8fXXX2Px4sXlUlt51TdhwgScPHkSbm5uqF27NgIDAzF8+HCbqa84721pLV++HFu2bIGXl1exX0PTpk1N9Rc2jqgkGI6oxPL7XSJHR0ekpaVZDOvfvz9CQ0ORkJCAqKgorFmzBhkZGRbTrF+/HtHR0bhz5w7mz59vE7V9++23SEpKwvjx48tcT0XU5+TkhJCQEBw6dAh//vkndu/ejbfeestm6ouPj8e6deuwZcsWnDp1CsePHy+3AFKe296KFSswfvx41KpVq1xqK6/6MjMzMWrUKMTGxiIqKgpnzpzBhx9+aDP1Fee9La3ihOh7X4N5/YWNIyoJhiMqMUdHxzwdbNPS0uDk5GQxbOXKldDr9WjcuDGefPJJjBkzBjVq1LCYRqvVwsvLCy+//DK2bNli9dpu3ryJV199Ff/+97/LXEtF1AcAy5Ytw5IlS1CjRg3Ur18fL7/8Mn744QebqU+j0WD69OmoW7cuPDw8MHv27HJZt+VVHwBkZWVhw4YN5R6Ay6O+cePGYeTIkXBzc4Ofnx/mzZuHNWvW2Ex9xdmvK9K9r8G8/sLGEZUEwxGVWEBAAM6fP296bDAYEBkZiaZNm1pMd/PmTXz88ce4ffs2Dhw4gISEBLRq1QrA3W+fP/30k2nazMxMuLq6Wr22bdu2ISYmBi1atICrqyuWLFmCr776Ci1btixzbeVRHwCEhobi0qVLpmkzMzOh1Wptpr4mTZogMTHRYhnldbVVedQHAPv27YOnpyeCgoLKpa7yrO/69esWp0nt7e1hb29vM/UV9d5WtHtfw7lz50z1FzaOqESs3emJKp+0tDTx9PSUzz77zHTFS9u2bfNM99RTT8nUqVMlJydHDh06JLVq1ZI///xTRETmz58vXbp0kTt37sjVq1elRYsWsnr1apuozVxoaGi5dsguj/oee+wxGT58uKSmpsrly5elRYsWsmrVKpupb+nSpdKgQQO5evWq3L59Wzp27CiLFi2ymfpERJYsWSKjR48ul5rKu76hQ4dKz549JSEhQaKjo6V9+/byzjvv2Ex9xd13yqKw/W7ZsmXSsWNHuXnzpkRGRoqfn59s3ry5yHFEJcFwRKVy5MgRad++vTg5OUm3bt0kMjJSRESaNWsm69evFxGR6OhoefDBB8XZ2VkaNWokX3/9tWn+zMxMmTp1qnh4eEi9evVk8eLFkpubaxO1mSvvcFQe9cXExMigQYPEzc1NPDw8ZP78+eX23pVHfQaDQRYuXCj169cXV1dXmTJlimRmZtpMfSIikydPlpdeeqncairP+uLi4mTUqFFSq1Yt8fb2lpdfflmys7Ntpr7i7jtlce9+Z15bdna2zJ49Wzw9PaV27dqyZMkS03SFjSMqCUVExNqtV0RERES2gn2OiIiIiMwwHBERERGZYTgiIiIiMsNwRERERGSG4YiIiIjIDMMRERERkRmGIyIiIiIzDEdEREREZhiOiIiIiMwwHBERERGZYTgiIiIiMsNwRGQDLl++DEVR8NdffxVr+oyMDHz88ccVWxQVW1paGlq0aIGYmJj78nwTJ07El19+eV+ei6g6YjgiqoRWr16NJUuWWLsM+p/Q0FAMGDAAXl5e9+X5FixYgFdeeQV37ty5L89HVN0wHBFVQiJi7RLof27duoVVq1Zh2rRp9+05fXx8EBwcjA8++OC+PSdRdcJwRFQBFEXB66+/Di8vLzRt2hSZmZm4desWnnzySdSoUQOenp4YPXo0YmNjS7zsdevWYdasWbhy5QoURcHKlSvh5+dnGn/hwgUoioL33nvPNGzSpEkYNWoUACAyMhL9+vWDXq9HvXr1MH36dKSmppqmLWx8WFgYFEXJ8zdu3DgAQE5ODubNmwcfHx+4uLigd+/eOHHihGnZISEhmDx5Mpo3bw4PDw8cPXo0z+sLCQnBq6++iv79+0On06FZs2bYvHmzxTQfffQRAgICoNVq0aJFC3z//fcAgE2bNkGr1SIjIwPA3dNdGo0GL7zwgmneJUuWoGvXrgBQ5DrJbz3e6+OPP0bHjh1Ru3Zt07A//vgD3bt3h16vh06nQ/fu3S3eh3spioJNmzaZHv/1119QFAWXL18ucJ5BgwZh1apVyMnJKXAaIiolIaJyB0D8/Pzk1KlTcuzYMRER6dq1qwwaNEhOnDghx44dk4cffli6dOkiubm5EhUVJQDk+PHjRS47LS1N3njjDalbt65ER0dLRESEAJDIyEgREfn4449FURQZPHiwaR4/Pz/58ssvJSMjQxo2bCiTJk2Ss2fPyr59+6R9+/YyYsQIEZEixycnJ0t0dLTpb9myZaLT6Ux1v/rqqxIUFCQ7duyQiIgIefHFF6VGjRoSExMjIiLBwcFib28vW7dulUOHDklOTk6e1xccHCwajUZeffVVOXv2rISFhYlarZajR4+KiMiSJUvE2dlZPv/8czl37pwsXrxYVCqV7Nu3T5KTk0Wj0cjvv/8uIiK//PKLKIoi7dq1s1j+m2++WeQ6KWg93qtDhw7y9ttvmx5fvXpVHBwc5P/+7/8kKipKDh06JB07dpQePXoUuE4ByPfff296fPz4cQEgUVFRBc6TkpIiKpVK9u/fX+A0RFQ6DEdEFQCALFq0yPR4x44d4uDgIGlpaaZh8fHxolarZe/evSUKRyIiK1asEF9fX9PjRo0ayerVq0VEZNiwYdK/f3+pXbu2iIhERESIWq2WuLg4Wbt2rfj6+po+/EVETp06JQDk2rVrRY43d/DgQdFqtfLFF1+IyN3QptVqZfv27RbTtWvXzvReBAcHS58+fQp9bcHBwdKtWzeLYV27dpVnn31WcnNzxcPDwxRujIYMGSL9+vUTEZHevXvLK6+8IiIiL774ovTv31/UarUkJSVJcnKy2Nvby4kTJ4pcJyJ51+O9cnJyRK1Wy5YtW0zDIiMjZeXKlRbT/etf/5KaNWsWuJzShCMREX9/f3n33XcLnYaISs7OKs1VRNVAw4YNTf8PDw9HVlYWPDw8LKbJzc1FREQE6tSpU6bneuSRR/DHH3/g2Wefxc6dO/Hdd9+hd+/eiIiIwK+//oouXbqgZs2aCA8Px7Vr1+Ds7JxnGefOnStyfN26dQEAN27cwIABA/Dss8/iqaeeAgBcvHgRGRkZ6N+/PxRFMc2XmZmJwMDAfN+XgvTo0cPicceOHXHw4EHcvn0bt2/fNp0WM+rWrRtWrlwJAHj00Ufx7bffAgB27NiBl19+GYcPH8a+ffuQmZkJLy8vtGzZEh988EGh68T4HIXVGxcXB4PBgFq1apmG+fv7Y9iwYVi6dCnOnj2Ls2fP4tixY9BqtUW+7pLy8PDAzZs3y325RNUdwxFRBdHpdKb/5+TkoE6dOtixY0ee6Tw8PBAfH1+m53r00Ufx9NNPIzw8HJmZmejWrRvatm2L3bt349dff0X//v1NdXTs2BFffPFFnmV4e3vjxx9/LHQ8AKSnp2PAgAFo3Lgxli1bZvEaAeDnn3+Gj4+PxbxOTk6m/5u/LwWxt7e3eJybmwu1Wl1gwDAYDDAYDKb34sUXX8TVq1dx/PhxBAcHIzg4GLt370ZCQgL69etnqrewdVKcelUqlak+ozNnzqBLly7o2bMnQkJC8NRTT+HMmTOYN29eka/bKDs7u1jTGQwGUw1EVH64VxHdB82aNUNMTAx0Oh0aNWqERo0awdnZGTNnzsTVq1dLvDzzlhngbifmtLQ0fPjhh+jevTtUKhVCQkLw66+/YufOnaZA0KxZM0RGRsLHx8dUR1paGmbPno2kpKQixwPAuHHjEB0djQ0bNsDO7p/vV40bN4adnR1iYmJM8zZq1AiLFi3Crl27SvT67u2offDgQbRp0wYuLi7w9vbG/v37Lcbv3bsXAQEBAICAgAD4+vpi8eLFCAgIgLu7O0JCQrBr1y788ssvFu9FWdeJu7s77O3tcfv2bdOwdevWISgoCJs2bcLMmTPRs2dPXLlypdArDO3t7ZGYmGh6HBkZWaznj42NvW+3DyCqVqx9Xo+oKsI9fUgMBoO0a9dOunbtKocOHZKTJ09Knz59pGHDhpKenp6nz1FaWppER0fn22FZROSTTz4RFxcXOXfunGRnZ4uISL9+/USj0cjSpUtFRGTr1q2iKIpF36SUlBSpW7euDBgwQE6cOCGHDh2SNm3ayAMPPFCs8QsXLhQHBwfZtm2bxMTEmDpm37p1S0REZs2aJT4+PvLjjz9KZGSkzJ49WxwcHOTkyZMicrc/0YwZMwp974KDg0VRFFmxYoWcO3dOXnvtNXFwcJBz586JiMjKlSvFxcVF1q9fL+fPn5fFixeLoijy008/mZYxdepU0Wg08vzzz4uIyJkzZ0RRFNFqtaY+RkWtk/zWY346d+4sb7zxhunxkiVLxN3dXXbu3CmXLl2SDz74QBwcHMTBwcE0TUJCguk9ExHp3r27tGzZUk6fPi27du2SoKAgiz5Hxo7w5hISEkRRFDl48GCh9RFRyTEcEVWA/D5Ur1+/LkOHDhUXFxdxcXGR/v37m64wuzccrV27ttAOudHR0dK8eXNxcHAwfTiuWrVKAMiRI0dE5O4Hqp2dnUyZMsVi3jNnzshDDz0kjo6OUrNmTRk1apTFB3Vh4319fQVAnj9jAMvMzJS5c+eKl5eX6HQ66dChg2zbts207OKGoyeffFIefPBB0Wq10q5dO9m1a5dpvMFgkLfeekvq1asnGo1GWrduLRs3brRYxtatWwWA/Oc//zEN8/LykkcffdRiusLWiUjxwtGiRYukV69epsdpaWkyatQoqVGjhri6ukqPHj1k/fr1AkDCw8NFRGTMmDEWofXkyZPSuXNn0Wg00rx5c9myZYvF+g8NDZV7v8v+8MMP4unpadF5nojKhyLCu8kRke0ICQlB69atTR2sbV1MTAz8/f0tOqzfD8OHD0dgYCDCwsLu23MSVRfsc0REVAZeXl6YOHEiPvzww/v2nNevX8fu3bsxffr0+/acRNUJwxERURktWrQIP/zwA6Kjo+/L84WFhWHJkiWoWbPmfXk+ouqGp9WIiIiIzLDliIiIiMgMwxERERGRGYYjIiIiIjMMR0RERERmGI6IiIiIzDAcEREREZlhOCIiIiIyw3BEREREZIbhiIiIiMgMwxERERGRGYYjIiIiIjMMR0RERERmGI6IiIiIzPw/OIRs62KLxekAAAAASUVORK5CYII=",
"text/plain": [
"<Figure size 375x375 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"trap[trap.power_tweezer] = initial_power\n",
"plot_occupation(trap,50,-0.15*zr,1.6*zr,power_fac_down=0.93,power_fac_up=1,n_spill_steps=150,n_pot_steps=int(1e4))"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"100%|██████████| 150/150 [03:08<00:00, 1.25s/it]\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 375x375 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"trap[trap.power_tweezer] = initial_power\n",
"plot_occupation(trap,200,-0.7*zr,2.5*zr,power_fac_down=0.93,power_fac_up=1,n_spill_steps=150,n_pot_steps=int(1e3))"
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"100%|██████████| 150/150 [07:34<00:00, 3.03s/it]\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 375x375 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"trap[trap.power_tweezer] = initial_power\n",
"plot_occupation(trap,200,-0.7*zr,2.5*zr,power_fac_down=0.93,power_fac_up=1,n_spill_steps=150,n_pot_steps=int(5e3))"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"100%|██████████| 150/150 [03:23<00:00, 1.36s/it]\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 375x375 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"trap[trap.power_tweezer] = initial_power\n",
"plot_occupation(trap,200,-0.5*zr,1.6*zr,power_fac_down=0.93,power_fac_up=1,n_spill_steps=150,n_pot_steps=int(1e3))"
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"100%|██████████| 150/150 [13:10<00:00, 5.27s/it]\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 375x375 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"trap[trap.power_tweezer] = initial_power\n",
"plot_occupation(trap,350,-0.5*zr,3.9*zr,power_fac_down=0.93,power_fac_up=1,n_spill_steps=150,n_pot_steps=int(2e3))"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"100%|██████████| 150/150 [07:00<00:00, 2.80s/it]\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 375x375 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"trap[trap.power_tweezer] = initial_power\n",
"plot_occupation(trap,200,-0.5*zr,1.9*zr,power_fac_down=0.93,power_fac_up=1,n_spill_steps=150,n_pot_steps=int(2e3))"
]
},
{
"cell_type": "code",
"execution_count": 54,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[0.11795915] s\n",
"-1.8042551552225352e-29\n",
"[0.14786303] s\n",
"-1.7984801620815207e-29\n",
"[0.2564755] s\n",
"-1.7927051689405057e-29\n",
"[0.45515868] s\n",
"-1.786930175799516e-29\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 375x375 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 375x375 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 375x375 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 375x375 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"powers = np.linspace(0.94,0.945,4)*initial_power\n",
"\n",
"for i, p in enumerate(powers):\n",
" trap[trap.power_tweezer] = p\n",
" plot_solutions(trap,200,-0.5*zr,1.9*zr,n_pot_steps=2000)"
]
},
{
"cell_type": "code",
"execution_count": 55,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[0.06814823] s\n",
"-6.486341576954851e-29\n",
"[0.15249878] s\n",
"-6.481151752611274e-29\n",
"[0.19242222] s\n",
"-6.475961928267669e-29\n",
"[0.28058608] s\n",
"-6.470772103924091e-29\n",
"[0.52620611] s\n",
"-6.465582279580515e-29\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 375x375 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 375x375 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 375x375 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 375x375 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 375x375 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"powers = np.linspace(0.94,0.945,5)*initial_power\n",
"\n",
"for i, p in enumerate(powers):\n",
" trap[trap.power_tweezer] = p\n",
" plot_solutions(trap,350,-0.5*zr,3.9*zr,n_pot_steps=2000)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[0.07902581] s\n",
"-1.1673639057283307e-28\n",
"[0.083507] s\n",
"-1.166826247666812e-28\n",
"[0.19558203] s\n",
"-1.1662885896052898e-28\n",
"[0.27758129] s\n",
"-1.1657509315437711e-28\n",
"[0.51896978] s\n",
"-1.1652132734822524e-28\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 375x375 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 375x375 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 375x375 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 375x375 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 375x375 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"ename": "",
"evalue": "",
"output_type": "error",
"traceback": [
"\u001b[1;31mThe Kernel crashed while executing code in the current cell or a previous cell. \n",
"\u001b[1;31mPlease review the code in the cell(s) to identify a possible cause of the failure. \n",
"\u001b[1;31mClick <a href='https://aka.ms/vscodeJupyterKernelCrash'>here</a> for more info. \n",
"\u001b[1;31mView Jupyter <a href='command:jupyter.viewOutput'>log</a> for further details."
]
}
],
"source": [
"powers = np.linspace(0.94,0.945,5)*initial_power\n",
"\n",
"for i, p in enumerate(powers):\n",
" trap[trap.power_tweezer] = p\n",
" plot_solutions(trap,999,-0.5*zr,5.9*zr,n_pot_steps=8000)"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[] s\n",
"-1.8181151387609643e-29\n",
"[0.04647212] s\n",
"-1.8134951442481374e-29\n",
"[0.05285233] s\n",
"-1.8088751497353357e-29\n",
"[0.0714247] s\n",
"-1.8042551552225352e-29\n",
"[0.09479817] s\n",
"-1.799635160709733e-29\n",
"[0.23445589] s\n",
"-1.7950151661969066e-29\n",
"[0.34857459] s\n",
"-1.790395171684105e-29\n",
"[0.58268832] s\n",
"-1.7857751771713032e-29\n",
"[1.00946104] s\n",
"-1.781155182658502e-29\n",
"[1.9336451] s\n",
"-1.7765351881457004e-29\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 375x375 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 375x375 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 375x375 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 375x375 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 375x375 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 375x375 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 375x375 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 375x375 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 375x375 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 375x375 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"powers = np.linspace(0.936,0.948,10)*initial_power\n",
"\n",
"for i, p in enumerate(powers):\n",
" trap[trap.power_tweezer] = p\n",
" plot_solutions(trap,200,-0.5*zr,1.9*zr,n_pot_steps=1000)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[] s\n",
"-1.8181151387609643e-29\n",
"[0.02886784] s\n",
"-1.8134951442481374e-29\n",
"[0.03402519] s\n",
"-1.8088751497353357e-29\n",
"[0.11795915] s\n",
"-1.8042551552225352e-29\n",
"[0.13515261] s\n",
"-1.799635160709733e-29\n",
"[0.20296222] s\n",
"-1.7950151661969066e-29\n",
"[0.32685646] s\n",
"-1.790395171684105e-29\n",
"[0.46055497] s\n",
"-1.7857751771713032e-29\n",
"[1.05095914] s\n",
"-1.781155182658502e-29\n",
"[1.86332245] s\n",
"-1.7765351881457004e-29\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 375x375 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 375x375 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 375x375 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 375x375 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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XLhZfgRw4cMA8aiOEEMePHy8V3pVVZS6O0a5du1LTWrVqBQA4fPiw+V+1Wm2efqv27dsDAI4cOVLpGurWrVtqmre3NwBAr9eba3B3d0eDBg0s2ikUCrRu3fqey/D29sbQoUOxb98+hISEoHfv3li8eDHOnj2LyMhIuLm5mZcDAB06dCg1j2rVqqFBgwZISUnBjRs3KraSlZSdnY2kpCS0bNkS7u7upZ6/0+//9t+pTCaDp6en+fcJAJMmTcLNmzcRGxuL1q1bIz4+HgkJCahZsyY0Gs191d2pU6dS01q3bo3CwkIkJibi1KlTyM/PL/P3XNZ69e7dGykpKTh37hwA4I8//kBcXBw6dOiAoqIi7NmzBwCwefNmeHt7Iy4uDgBw4MABAMCGDRswd+5ci8exY8cAAIcOHbJYdkRERKXX2/Qe3fp7vlVhYSEAQKvVlmt+ERERWLp0KT766CMcO3YMtWrVwqxZs3D69GkAwK5du/DEE0+gadOmOHr0KJYsWYJVq1bh2LFj8PPzw7Bhw8zn9rZp0wbHjx/HqlWrzJ93AAgJCUF8fDyEEPj6668BAB4eHvjpp58QGhqK//znPwgODkaNGjXw8ccfY/Xq1QBg/oxs2rQJ69atw+uvv44aNWrcdX3k8pJN3xNPPIGGDRuapwcEBOCFF16A0Wg0n4vJtrZte6tvvvkG+fn5GD16tMVn43a3b1dMn+PatWtbTDf9HZg+7yadOnXCsWPHkJubi/z8fPz555/o1q2b+fnY2Fj4+flh+/btAIDdu3cDALp27XrHmsqryoRuYGBgqWmenp4AgNzcXADAzZs3odVqzW/orUx/ZKa2laFWq0tNk8lkAAAhBADgxo0b0Ol05um38vX1LddyPv30U7z55puIiIjApk2bMH36dERFRaFDhw5ITEwEULKuAODl5VXmPKyxvhVR2Xru9Ds1/T6BktD95ptv0KFDB+zfvx/z5s1DmzZtEBkZiZ9//vm+6g4JCSk1zfS5unHjRoXXq3fv3gBKwjY/Px8JCQno2LGjOdx37NgBo9GI33//HT179jRvOLKysgAACxcuxCuvvGLxMAVMZmamxbLvZ4fD29sbcrn8jjtlpul3Wu+7CQgIwMyZM1FcXIxNmzYBANasWQMAeP311y2CPCgoCK+88gqKiorw+eef33PezZo1AwAkJyebpzVu3BgnTpzAl19+iYULF+Kzzz7D2bNnzRvewMBA5OTkYNKkSWjfvj0mTpx4z+WYdqabN29e6rnY2FgAMO9Ysa1t297qp59+AgAMGjSo1HO30ul0ZU4va3tTls6dO8NoNGLv3r3YuXMnCgsL0b17d/PzMpkMXbp0wd69e1FYWIjdu3fD3d3dvBN9P6pM6Jo2Sre6fPkyAMDHxwdAycYyMzOzzCs+mTZYfn5+AP4Ny7KuknI/QeXj44Ps7Owy55uTk1OueahUKsyYMQP//PMPkpOTsWLFCnTr1g27du1C//79IYQwB4Ppd3C729f3dtZe//ut514GDhyIbdu2IS0tDd988w1GjRqFCxcuYODAgXe8+lF55Ofn37XWiq5XXFwcvL298ccff+DPP/+EXq9Hp06dEBYWhrCwMOzYsQMJCQnIyspCnz59zPPR6XRwd3eH0WiEKPlap9Tj7bffrvR63k6lUiEsLAxJSUllPp+UlISoqCgoFIo7ziMxMRFfffVVmcEdFhYGoOTKUgBw4cIFAEC9evVKta1fvz4AmK8gdf78eWzdurXM+Zrer9tHUzQaDYYNG4YXX3wRI0eOhKenp/lKV/Xr18e+ffuQkpKCXbt2QS6Xm69kZOr5rF+/3uLKRnXq1AFQ9khAUVGReZlsa/u2Jnq9Hr///jsiIiLQpEmTUq+zpi5dugAA9u3bhz/++ANA6V5s165dUVhYiAMHDuDPP/9EXFxcuUP9bqpM6O7fv7/UNNNQnWnvNzY2FkII/Pnnn6Xa7tixAwDMw74qlQpAybDo7UxDYpXRvHlzFBYWlllvWZe7u93x48cxa9Ys7Nq1C0DJxmv8+PH47bffEBcXh8TERKSlpZn3Bk3DGrfKy8vDvn37EBkZeccPwZ3W/+rVq6V2Dsrqtd/Oy8sLtWvXxj///FPmDtLtv//yunnzJubNm4dVq1YBKNmpGThwID799FPMmjULRUVFSEhIqNA8b1XWe7Jnzx54enoiJiYG0dHRcHd3R0JCQqlLDwL/rpcpTNzc3NC9e3ds3boVu3btglqtNn+t0LlzZyQkJOCnn36CTCYz94qBkt5aQUGBeSj5Vps2bcLLL79s/krBWtq3b4/k5ORSOy1JSUlISUlB27Zt7/r6lStX4tFHH8Uvv/xS6jnTcLtpCNw0UnXy5MlSbU1/b6ZLii5evBhdu3Ytc3jR9Hdh6iElJCQgKCgIS5YsKdX222+/hVqtRufOnREeHo74+PhSj2nTpgEo+VzGx8ejc+fOAP792sa0wb2V6TPTqFEjtrVDW5OjR48iLy8PHTt2LPUaawsPD0dYWBgOHDiA3bt3o169eqW+kjANN2/fvh2nTp2yytAyAFSZA6luP3I4KSlJBAQECG9vb/MJ9Ka2LVq0KHX0ckREhHBzczMffXbt2jWhUChEVFSUxYE/69evNx/ldvuBVOU56GrPnj1CJpOJzp07i5ycHHO7JUuWmOd7twOpjh07Zj5w7NYjgPPy8kRERITw9PQURUVFwmAwiIiICKFQKMxH0AlRcsDWpEmTLA4aE6L0QU/ffvutACBGjBhhsfwnnnhCALA4kMp0ZOrDDz9s0fZOB2dNmDDBovbff//dfC6paXp5D+QyGo0iMDBQBAUFmY9SN3n00UcFgFKXECwP04FU7du3t3ifTAfcTZw4sVTb24+o/OyzzwSAUldTMs0jLCzM4pQc02ff29tbtGzZ0uI1v/32m8D/joS+tZ5r166J8PBwIZPJzAeWVPRv6E62bNkigJIrR5kuBHDrFanKOi/8Vn///bf5CONba05MTBQ+Pj7Cx8dHZGZmCiGE+PHHH83rd+s55NevXxfR0dFCLpebD47avXu3wP+ObL/14hiJiYnCz89P+Pn5iaysLCFEyWlK7u7uolGjRhZnC3zyySdCJpPd82CzOx1IVVRUZN5m3HpVrEuXLokaNWoILy8v8zaGbW3b1mTFihUCgPjggw/KfC+FuPO22nTA1O0XfLnbhX9GjRolIiIihLu7e5lHxwshRGhoqIiOjhZA2eeKV0aVCd2oqCih1WrFhAkTxKRJk4S/v7+Qy+WlDht/+umnBVBynu7kyZPF448/Lnx9fYVMJhPvvfeeRVvTxQwaN24sZs2aJQYMGCDc3NxEu3btKh26Qvx7rnCdOnXEtGnTxIMPPijkcrmoXbv2PUNXiH9P/G7YsKF45plnxLRp08zXJL31yjs7d+6843m6bdu2vet5uoWFhaJGjRoCKDk9Z9asWaJNmzbCz89P1K9f3yJ0CwsLhVqtFhqNRjz33HNi165dZc4zPz9ftGrVSgAl5+k+88wzYtCgQUKhUAhPT0/z64So2NHTpj+2gIAAMXnyZDFz5kzzNXP79etnbpeZmSni4+PLde6uKUj9/PxEVFSUmDZtmvk0mcjISHHt2jVz22vXronIyEgB/Huebu/evQVQcp7uqVOnLOZtOnXo9h0f0x84YHk6l8mUKVPMYT1lyhQxdepU8xHv8+bNM7e7299Qec/TNTF9fuPi4iyuvfz444+Xa77PPPOMueZp06aJ0aNHC61WK1Qqlfjxxx8t2pouOhARESGmT58uJk6caF6/BQsWWLQ17fyFhoaKp59+WowaNUp4enoKNzc38fPPP1u0NZ2+0ahRIzFz5kwxePBgIZfLRePGjUttuMv6fd1po2v6+1Kr1eKxxx4TU6dOFUFBQUImk1mci822tm8rhBAvvPDCHbcZJtYMXdP5ukDJOd1lMW1HTJ0ha6gyobt06VKxYMECERISItRqtWjbtq3FBQNuX0aLFi2Eh4eHqFatmnjggQfKbHvjxg3x5JNPisDAQOHu7i5atWolNm7caL60XGVDV4iS0yMaNGgg3N3dRUxMjFi/fr05TO8VugUFBeKtt94SjRs3Fp6enkKn04n27dubr6hyq6NHj4rBgwcLPz8/85VXFi5caHHSthBlXz0qMTFR9O/fX3h6egpPT0/x0EMPicTERNGzZ0+L0BOipPdWo0YNoVarxSuvvHLHeebm5oo5c+aIqKgooVKpRHBwsBg1apR5hMGkIqErhBDffPON6NChg6hevbpwd3cXDRo0EIsWLbJYT9Mf0O2vLYvpj2XXrl1i0KBBQqvVisDAQDFp0iSLwDW5fv26mDZtmqhVq5ZQqVSiVq1aYsqUKeZTxW7XuHFjAUD89ttvFtPDwsIEAPH333+X+brVq1eLVq1amT+7cXFxpa6Yc7e/oYpckUqIkh2quXPnms95r1u3rli0aJFFr/Fe8121apWIjY0VKpVKeHt7i759+5a5fsXFxWL58uWiadOmwt3dXWi1WtGuXTuL04Vubfvhhx+KJk2aCLVabb46160Xh7m17erVq0WTJk2ERqMRERERYsaMGfcMXCHufYnTo0ePioEDBwofHx9zvXfa6LOtbduaLhp0+6mDt7Jm6Jqek8vl5hGb261du1YAZZ9OWlkyIW45jJSoijt8+DAeeeQR81HedzJmzBh8+umnOHHiBGJiYuxUHRHR3VWZA6mIyuPLL7+0+ZGNRES2cuezj4mqmBs3buDAgQPmI52JiBwNQ5cchre3N3799VepyyAiqjR+p0tERGQn/E6XiIjIThi6REREdsLQJSIishOGLhERkZ0wdImIiOyEoUtERGQnPE9XIsXFxSgoKICbm1u5bq1HRGQNQggYDAa4u7tDLme/y94YuhIpKCiAVquVugwiclG5ubmlbiRPtsfQlYibW8mvPjc3F0qlslyvKSoqglarrdBrHIWzrpuzrhfgvOvmrOsF/LtuwL/bILIv/tYlYhpSViqVFf7DrsxrHIWzrpuzrhfgvOvmrOtlwq+1pMEBfSIiIjth6DoQuVyO+Ph4pzz4wVnXzVnXC3DedXPW9QJK1u3ll1+WugyXxhseSKSoqAgqlQp6vd6ph7CIqGrhtkdazrcrR0REVEUxdImIiOyEoUtERGQnDF0iIiI7YegSERHZCUOXiIjIThi6REREdsLQJSIishOGLhERkZ0wdImIiOyEoUtERGQnDF0iIiI7YegSERHZCUOXiIjIThi6REREdsLQJbKD69ev459//pG6DCKSGEOXyMbS0tJQv359NGzYEJs3b5a6HCKSEEOXyMbWrVuHtLQ0AMAbb7whcTVEJCWGLpGNff/999DpdOjWrRt27NiB7OxsqUsiIokwdIlsyGAwYN++fWjdujUeeughGAwG7Ny5U+qyiEgiDF0iGzp+/Djy8vLQqlUrtGrVCgBw6NAhaYsiIskwdIls6Pjx4wCAxo0bo1GjRpDJZDh8+LDEVRGRVBi6RDZ06tQpAEDdunWh0+kQGRnJ0CVyYQxdIhs6ffo0AKBOnToAgIYNG+LMmTMoKiqSsiwikghDl8iGTp8+jaCgIHh6egIAIiMjYTQakZKSInFlRCQFhi6RDZ09exZRUVHmnyMjI83Ticj1MHSJbKSwsBDXr19HaGioeVpERAQAhi6Rq2LoEtnI5cuXAQAhISHmaezpErk2hi6RjVy6dAmAZeiGhYVBLpczdIlcFEOXyEZMoVujRg3zNKVSiZCQEFy4cEGqsohIQgxdIhspq6dr+tn0HBG5FoYukY3cKXRDQ0ORmprKc3WJXBBDl8hGyhpeBkpCWAiBK1euSFEWEUmIoVsBZ8+eRbdu3aDT6RAdHY3//ve/AICEhAQ0bdoUWq0WHTp04EEyBKAkdP39/aFWqy2mm3q+HGImcj0M3XIqLi7Gww8/jK5du+LmzZt4//338cgjjyAnJwcDBgzAzJkzkZmZiR49emDMmDFSl0tVQGpqKoKCgkpNN523e/HiRXuXREQSY+iW0549e5Cfn4+XXnoJcrkcPXv2xM6dO7Fz5074+vpi+PDhUKlUmD17No4dO4aTJ09KXTJJ7Pr166hevXqp6ezpErkuhm45HTp0CPXr18fUqVMREBCAZs2aIScnBydPnkRMTIy5nUKhQGRkpPmWbuSaioqKkJmZCX9//1LPsadL5LoYuuWUmZmJjRs3okmTJrh48SJmzZqF/v37Izs7GxqNxqKtRqNBXl6eRJVSVZCRkQEAZfZ0TQdWsadL5HoYuuWkUqkQFhaGSZMmQaVSYdiwYeZhwvz8fIu2eXl50Ol05ZpvUVGR+WE0Gq1eN0nj+vXrAFBmT9fd3R1+fn4MXbIbo9Fosa0h6TB0y6lu3bq4efOmxTSj0YjY2FjzjcpN086cOYPo6OhyzVer1UKlUkGlUmH+/PlWrZmkk5aWBqDsni4ABAUF4erVq/YsiVzY/PnzzdsZrVYrdTkujaFbTj169IBCocBrr72G4uJirFu3DlevXkWXLl2QmpqKtWvXQq/XY8GCBYiMjES9evXKNd/c3Fzo9Xro9XrMmTPHxmtB9nK3ni4ABAYGIjU11Z4lkQubM2eOeTuTm5srdTkujaFbTlqtFlu3bsXmzZvh4+OD119/Hd9//z08PT3xyy+/YMmSJfDz88OWLVuwYcOGcs9XqVSaHwqFwoZrQPZ0r9ANCgrCzZs3UVBQYM+yyEUpFAqLbQ1Jx03qAhxJvXr1sG3btlLTmzdvjr1799q/IKqy7jW8HBgYCKDkXN6wsDC71UVE0mJPl8gGyjO8DIBDzEQuhqFLZAMMXSIqC0OXyAbS0tLg6elZ6rrLJgxdItfE0CWygevXr9+xlwswdIlcFUOXyAYYukRUFoYukQ2kpaXdNXQDAgIAMHSJXA1Dl8jKCgoKUFBQAD8/vzu2USqV8PX1ZegSuRiGLpGVZWZmAgCqVat213aBgYG8FCSRi2HoEllZVlYWAMDHx+eu7XgpSCLXw9AlsrKK9HSzsrJQWFhoh6qIqCpg6BJZWUV6ugBw7do1W5dERFUEQ5fIyirS0wV4BDORK2HoElkZe7pEdCcMXSIrq2hPl6FL5DoYukRWZurp3it0TRfIYOgSuQ6GLpGVlXd4mVelInI9DF0iK8vMzIRMJoOnp+dd27GnS+R6GLpEVpaVlYVq1apBLr/7n5dGo4FOp2PoErkQhi6RlWVmZt7z+1yTgIAADi8TuRCGLpGVZWVl3fP7XJOAgAD2dIlcCEOXyMoq0tMNDAxEWloaiouLbVsUEVUJDF0iKyouLsaNGzcqNLxsMBjMRzwTkXNj6BJZ0c2bNyGEqNDwMsDThohcBUOXyIrKe2EME542RORaGLpEVlTeC2OY8FKQRK6FoUtkReW97rIJh5eJXAtDl8iKOLxMRHfD0CWyIlNPl8PLRFQWhi6RFVW0p+vr6wu5XM7hZSIXwdAlsqKK9nTlcjmqV6/Oni6Ri2DoEllRRXu6QMkQM0OXyDUwdImsqKI9XYA3PSByJQxdIivKysqCWq2Gu7t7uV8TEBCA7Oxs5Ofn27AyIqoKGLpEVmS6l25FmE4bSktLs0FFRFSVMHSJrCgzM7NCQ8sATxsiciUMXSIrup+eLr/XJXJ+DF0iK6pMT5dXpSJyHQzdSjh+/Djc3d2RnJwMAEhISEDTpk2h1WrRoUMHnD17VtoCSRKFhYXIz8+vcE+Xw8tEroOhW0EGgwGPP/44CgsLAQAFBQUYMGAAZs6ciczMTPTo0QNjxoyRtkiSxI0bNwBU7BxdgMPLRK6EoVtBr732Gtq3b2/+eevWrfD19cXw4cOhUqkwe/ZsHDt2DCdPnpSwSpJCRW/rZ8LhZSLXwdCtgMOHD2P9+vV49dVXzdNOnjyJmJgY888KhQKRkZE4fvy4FCWShCpzNSoA8PDwgKenJ0OXyAW4SV2Ao9Dr9Xj88cfx0UcfwcPDwzw9NzcXGo3Goq1Go0FeXl655ltUVGT+v1wuh0KhsE7BZHem0PX29q7wa3lVKrIlo9GI4uJiAJbbHLI/9nTLad68eejcuTPatWtnMV2j0ZS6klBeXh50Ol255qvVaqFSqaBSqTB//nyr1Uv2V9meLlASuuzpkq3Mnz/fvJ3RarVSl+PSGLrl9H//939YtWoVqlWrZt6oNm7cGEFBQTh16pS5ndFoxJkzZxAdHV2u+ebm5kKv10Ov12POnDm2KJ3s5H5DNy0tzdwbIbKmOXPmmLczubm5Upfj0hi65XTy5EncuHEDWVlZ5o3rkSNHMGDAAKSmpmLt2rXQ6/VYsGABIiMjUa9evXLNV6lUmh8cWnZs9xO6gYGBMBqNyMjIsG5RRCg51uTWbQ1Jh6F7nzw8PPDLL79gyZIl8PPzw5YtW7BhwwapyyIJ3G9PF+ARzETOjgdSVZIQwvz/5s2bY+/evRJWQ1WBtUK3fv36VqyKiKoS9nSJrMR0cYzKHL3Mq1IRuQaGLpGVZGVlwd3dHWq1usKv5VWpiFwDQ5fISipzhyETfqdL5BoYukRWcj+hy+FlItfA0CWykvsJXR8fHygUCg4vEzk5hi6RldxP6MrlclSvXp09XSIn5xShazAYeCUfkpRer0deXl6lQxfgpSCJXIFDhm5ubi6WLl2K3r17w9/fH2q1GiqVCoGBgejbty8+/PBDZGdnS10muZDK3kv3VoGBgRxeJnJyDhW6BoMBCxYsQGhoKFasWIHY2FgsXrwY//3vf/HTTz/hrbfeQnR0NFauXImwsDDMmzePd9Qgu7BG6AYEBCAnJ6fcd6giIsfjUFekatWqFTp27Ij9+/cjIiKizDaPPfYYAODEiRNYunQpWrZsiUOHDtmxSnJF93NbPxPTaUNpaWkICwuzRllEVMU4VOh+++23CA8PL1fbevXq4YMPPkBycrJNayIC7u8SkCam04ZSU1MZukROyqGGl28N3AsXLpTZpqCgAGvXri3zNY6u8NJlXPlkndRlUBmsEbq8QAaR83Oo0L1VeHg4Ro4ciYKCAovpN27cwOOPPy5RVbaV/MrrSH75VdxM2Cd1KXSbO4XuoS59cahL33LN426hW5H5EFHV5bChK4TA33//jbZt27rMEHKtF5+FTKlE0suvQhiNUpdDt2BPl4jKw2FDVyaTYfPmzYiMjESLFi3w66+/Sl2SzXnUDkPQiEeQd/wkUtfxnr1ViTVCNygoCABw+fJlK1RERFWRw4auEAJarRb/93//hylTpqBv375YtGgRFAqF1KXZVPCY4VBW98eFN95DUUam1OXQ/1grdGUyGS5dumSdooioynHY0JXJZOb/z5s3D+vWrcP8+fMxbtw4CauyPYXGAzWfGAdD1g1ceGOx1OXQ/1jjPF2lUomgoCCGLpETc9jQFUJY/PzII49g586dOHDggEQV2Y9P147QNWmI1HXrkXvsuNTlEEp6uiqVCu7u7vc1n5CQEIYukRNz2NAtLi42H3hi0qxZM+zbtw+rV6+WqCr7kMlkqPX0ZEAmQ9KcBaV2QMj+7udmB7cKCQnBlStXYOSBckROyaEujnHkyJFytWvatKmNK5GeJioC1fv3Qdp3P+P6dz+j+sCHpC7JpVkrdENDQ2E0GpGamooaNWrcf2FEVKU4VOjGxsZCJpNZ9OxM3+3ePs0VegohYx9D5h87cH7+G/B9oAsUOp3UJbmsrKwsq4RkSEgIAODSpUsMXSIn5FDDy0lJSTh37hySkpLM//fw8MDWrVvN00zTXYGblydCxo9C0bU0XHz/I6nLcWnWHF4GwO91iZyUQ/V0y7oerUwmQ2hoqMteq9b/wZ5I+/G/uPLxJwgYOhAekbWlLsnlGAwG5OTkMHSJ6J4cqqdLpckUCtScNhmiyIDkua9JXY5LssY5uiahoaEAgIsXL973vIio6mHoOgHPRg3g26MLsv7YgcwtW6Uux+VkZGQAAPz8/O57XuzpEjk3hq6TCJ08FnKNB5LiF6K4oFDqclyKKXR9fX3ve146nQ5eXl4MXSIn5VDf6b7//vulphkMBqxZswb+/v4W059++ml7lVUlqPz9EPzYMFz66BNcWbEGIU9Nkrokl2HN0AVKhpg5vEzknBwqdN99991S04KCgvDZZ59ZTJPJZC4XugAQOORhXN/4Ky4u/hD+g/pDXSNI6pJcgrVDNyQkBLt374YQwuJyp0Tk+BwqdJOSkqQuoUqTK5Wo9eREnH4+Hufnv4G6y9+RuiSXYO3QDQsLw5YtW5Cenl5qBIeIHJvDfqe7f//+MqffuHEDkya57tCqd5uWqNauDdJ/3IgbO/dIXY5LsHbo1q5dctqXq9wnmsiVOGzodu/eHQkJCRbTNmzYgJiYGPz8888SVVU11HxqIuRqNc7NnofiQr3U5Tg9a4dueHg4AI7sEDkjhw3dZ599Fg888AB27dqFlJQUPPjggxgxYgSGDBmCEydOSF2epNTBQQh+bBgKzibh8kfOffOHqsAUuj4+PlaZH3u6RM7Lob7TvdWcOXPg4+OD3r17AwAaNGiAv//+2yVudlAegUMHIv3X33HxveXwf7gv3GuFSl2S08rIyICHhwc8PDysMj/2dImcl8P2dAHgySefxLJly1BUVIT4+HgG7i3kKiVqPTMForAQyXNe5e3/bCgjI8NqQ8sAEBgYCLVazZ4ukRNyqJ6uj49PmadQGI1G9O/fH7pb7rJjGvJzZV7NYuHbvTMyftuGzF//gG/PblKX5JSsHbpyuRzh4eEMXSIn5FCh++677/K8xQoKnTIeN/b8jaQ5r8K7Q1soNBqpS3I6GRkZaNSokVXnGR4ejh07dvBcXSIn41ChO2bMGEmX/8MPP+Cll17ChQsXULduXSxevBjt2rVDQkICJk+ejFOnTqFZs2ZYs2YNIiMjJa3VROXnixrjRuHC+x/i4uLlCHvxOalLcirFxcXIzMy0ak8XKAndzZs349q1awgMDLTqvIlIOg71nW779u2xbdu2crf/9ddfERcXZ5VlJyUlYdSoUVi2bBmysrLwzDPPoF+/fsjOzsaAAQMwc+ZMZGZmokePHpLvHNwuoP+D0NSJxJUPP0HeqTNSl+NUbt68ieLiYquHrukIZh5MReRcHCp0ly1bhhdeeAFNmjTB/PnzsW/fPuTn55ufz8nJwe7du7FgwQLExMTgpZdewrJly6yy7JSUFEyYMAGdOnWCXC7HiBEjAJRcD9rX1xfDhw+HSqXC7NmzcezYMZw8edIqy7UGmZsCtZ6dCmE0IumleTyoyoqsfY6uiWmk5PTp01adLxFJy6FCt3HjxtizZw/mzZuHbdu2oW3bttDpdNBqtdBoNPD29ka3bt2wfft2vP7669i3bx9iY2OtsuxOnTrhrbfeMv/8119/IS8vDwaDATExMebpCoUCkZGROH78uFWWay26+jGo/lAv3NzzN65/+5PU5TgNW4VudHQ0ACAxMdGq8yUiaTnUd7pAyc0M+vfvj/79+yMnJwcHDhxAamoq5HI5goOD0bhxY4ujmG3hzJkzGDRoEObPn4+CggJobjs4SaPRIC8vz6Y1VEbIhDHI3PEnkl9ZhGpdOkDpa52LObgyW4VuVFQUZDIZTp06ZdX5EpG0HKqnezudToeOHTtiyJAhGDRoEOLi4mweuH///Tfi4uIwYcIEzJgxAxqNxmKIGwDy8vLKXUdRUZH5YTQabVGymZuXJ2pOnQBDegbOz3/DpstyFenp6QCsdzUqEw8PD4SFhbGnS1ZhNBottjUkHYcOXXvbvHkzevTogYULF2Lu3LkAgJiYGIveiNFoxJkzZ8zDg/ei1WqhUqmgUqkwf/58W5RtwbdHF3i1ao60Dd8ha8efNl+es0tLSwMABAQEWH3e0dHROH36NIqLi60+b3It8+fPN29ntFqt1OW4NIZuOZ0+fRqDBw/G6tWrMX78ePP0Ll26IDU1FWvXroVer8eCBQsQGRmJevXqlWu+ubm50Ov10Ov1mDNnjq3KN5PJZAh7dirk7u4493w8jLf10qlirl27BgCoXr261ecdHR2N/Px8XLhwwerzJtcyZ84c83YmNzdX6nJcGkO3nD766CPk5uZi9OjR0Ol05se+ffvwyy+/YMmSJfDz88OWLVuwYcOGcs9XqVSaHwqFwoZr8C91cBBqjB2JwpQLuPjOUrss01nZuqcL8GAqun8KhcJiW0PScbgDqaTy1ltvWRy9fLu9e/fasZr7FzioPzJ+347LH30C//59oG1YX+qSHNK1a9egUCis/p0uYBm61o90IpKCw4ZuRkYG4uPjcfDgQeTn55c69/TAgQMSVeYYZG4KhM+ahuMTn8bZmXPQ6Kf1kLk57MdBMmlpafD394dcbv1BI9OpaCdOnEAHq8+diKTgsFvZsWPHIiEhAUOHDrVJL8MVaKIiEDR0EK5+8TWurFyLGpPHSl2Sw7l27ZpNvs8FgBo1asDX1xeHDx8GVPyMEzkDhw3dLVu2YMuWLVa7zKOrqjFmODK378KFt5bAt88DvO9uBaWlpaFZs2Y2mbdMJkOTJk1Kvrpo0REAb3xA5Ogc9kAqX19fVKtWTeoyHJ5crUbYjKdQnJ+PszNf5iUiK0Cv1yMrK8tmPV0AiI2NRU5ODvR6nltJ5AwcNnRnzpyJGTNmmE/ZoMrzahYL/769cHPXX7i2br3U5TiM69evA7DNkcsmTZo0AQAUFBTYbBlEZD8ONbx8+03ss7KyEBwcDJ1OV+p0G97EvmJqThmPm3sPIHne6/Du1J7DzOVgy3N0TW4NXS8vL5sth4jsw6FC97333pO6BKel0GoQPmsaTj03G2efm4366z+BzAZH5DoTW56ja1K/fn0olUr2dImchEOF7ujRo6Uuwal5tWiK6v36IO3HjUhd+yWCxoyQuqQqzR49XZVKhcaNGyP/chYAft9O5OjYlSELoU+MhSo4EOdffQsFySlSl1OlXb16FQAQGBho0+XExcXBYDDyYCoiJ8DQJQsKjQbhs6ajOD8fZ559EYIX27+jK1euACg5n9aWTKfFVcXbRRJRxTB0qRSvZk1QfUBfZCfsx9VVn0ldTpV1+fJlAEBwcLBNl2MK3fx8hi6Ro3Oo0H3ppZewbds23g/SDkInPg51jWCcX/g28hJPS11OlXT58mX4+vrC3d3dpsupWbMmlEo35OXxjlBEjs6hQler1SI+Ph6BgYHo27cv3n//fd6BxUYUGg/Unj0DwmjA6akzUFyol7qkKufy5cs2H1oGSq5MpdFoUVBQYD5imogck0OF7uzZs7F9+3akpKRg4sSJSExMRN++fREWFoYJEybg66+/RmZmptRlOg1dw3qoMWo48k4kImXRO1KXU6UIIewWugCg05XceHzLli12WR4R2YZDha6JTqdDv379sHTpUpw+fRrbtm1D8+bN8cUXXyAyMhKtW7eWukSnETxyKLQN6+PKx2uQtWO31OVUGdnZ2cjNzbVb6Gq1OgDAr7/+apflEZFtOGTo3q527dqYPHkyvvvuO6SlpeHtt9+WuiSnIXNTIOLlGZBrNDgz7QUUZXAkAfj3ICp7ha5SqYS7Wo1ff/2V18cmcmBOEbq3UigUaN++vdRlOBV1cBDCnpmComtpODuDN0UA7B+6QMkIz5UrV7B//367LZOIrMvpQpdsw7dHF/h264TMzb8j9TPeFCElpeTCIaGh9rtGtenay19//bXdlklE1sXQpXKRyWSo9cxUqIIDkRy/ELnHjktdkqSSk5MBlHy1YS8eGg/UrFkTGzZs4GgDkYNi6FK5uXnqEDn3RUAIJE6cBsPNbKlLkkxSUhIAICwszI5LlWHIkCFITk5GQkKCHZdLRNbiUKE7ceJE5OTkWEzbv3+/xcUy0tPTUbduXXuX5jK0MXVRc+p4FJ6/gLPPzXbZHldycjJ8fHzg7e1t1+U+9thjAIAVK1bYdblEZB0OFbqrVq0qdf3ZLl264MKFC+afDQYDzp49a+/SXEr1h/vCp0sHZGz8FVdXu+ZlIpOSkuw6tGwSGxuL1q1b48svv0RWVpbdl09E98ehQresXpWr9rSkJJPJED5zGtShITg//w1kHzgsdUl2pdfrcenSJYSHh0uy/CeeeAL5+fn49NNPJVk+EVWeQ4UuVR0KrQaRr7wIyOQ4NXEa9GnXpS7Jbi5cuIDi4mJJeroA8Mgjj6B69ep4++23odfz8pxEjoShS5WmiYpA2HNPQX/lKk5NnIZiFwmAM2fOALDvkcu38vDwwLPPPosLFy5g7dq1ktRARJXD0KX74t+rGwKHPIzsv/cjec4CqcuxixMnTgAA6tWrJ1kNU6dOha+vLxYuXMjeLpEDcZO6gIpauXIldDqd+WeDwYA1a9bA398fQMk1ccm+QiePQ965ZKSuWw9Ng3oIGjVM6pJsqiqErqenJ2bMmIGXXnoJy5Ytw/Tp0yWrhYjKTyYc6Eik8PBwyGSycrU1nUdZVRUVFUGlUkGv10OpVJb7dYZLlyHyC2xYWeUYbtzEicnPQH8tDfU3rIFX6xZSl2QzHTt2xJEjR5CZmXnPz+OhLn0BALFbf76vZZY1n/z8fMTExODmzZs4c+YM/Pz87msZ5Boqu+0h63Co4eXk5GQkJSWV60H25ebthagFcyBTuiFx/FPITzovdUk2c/LkSdSrV6/cO4C24uHhgUWLFiErKwvz5s2TtBYiKh+HCl2q2jwiwhEx53kYsm7g5MgJTnlHoitXriAtLQ0NGzaUuhQAwLBhw9C6dWssXboUx44dk7ocIroHhi5ZVbV2rVHr6ckoSE7ByTFPwFgFh8Lvx969ewEALVpUjeFzmUyGJUuWoLi4GE8++STPWyeq4hi6ZHUBA/oi6NHByNl/CGeemglhNEpdktXs27cPANCyZUuJK/lXy5YtMWHCBGzfvh1fffWV1OUQ0V0wdMkmQiaOgU/Xjsj47xYkz33NaXpge/fuhVqtrjLDyyYLFy6Er68vnnvuOdy8eVPqcojoDhi6ZBMyuRy1X3gWuiYNcXX1Olx4a4nUJd23oqIi7Nq1Cy1btoRKpZK6HAt+fn5YtGgRrly5gldeeUXqcojoDhi6ZDNytQp1XpsLTXQdXHpvGS4tXyV1Sfflr7/+Qk5ODnr06CF1KWUaN24cWrVqhcWLF/OgKqIqiqFLNqXQalD3zfnwqB2OlFffxNVPv5S6pErbvHkzAOCBBx6QuJKyyeVyLF26lAdVEVVhDF2yOTdvL9R9+1WoQ0OQ9NIruPbVN1KXVGFCCHz55ZcICgqqUgdR3a5FixaYOHEitm/fji+/dNwdHCJnxdC1koSEBDRt2hRarRYdOnTgPX1vo/TzRd13FkAVHISzz83G1TVfSF1ShezcuRPnzp3DyJEjoVAopC7nrhYsWAA/Pz/MmDHjrgdVGQwG7N27F1evXrVjdUSujaFrBQUFBRgwYABmzpyJzMxM9OjRA2PGjJG6rCpHHRiAmPffKOnxzp6Hyx99InVJ5bZw4ULIZDKMGzdO6lLuyc/PD6+99tpdD6pKT09Hy5Yt0apVK9SqVQsrVqwos53BYOAwNZEVMXStYOvWrfD19cXw4cOhUqkwe/ZsHDt2DCdPnpS6tCpHFeCP6Pdfh3t4LZyf9zouLv6wym/Uv/32W2zevBmPPvooYmJipC6nXO52UJVpx/DQoUMYN24catasiUmTJpm/szaZP38+NBoNmjRpYjFyU1BQgA8++KBU+3PnziEnJ8d2K0XkBBi6VnDy5EmLjbFCoUBkZCSOHz8uYVVVl8rPF9GLX4dHVAQuvPEekue8WmUvoPHLL79g9OjR8Pf3x5tvvil1OeV260FVEydOREFByZXBbty4gV69euHgwYOYN28eVq5cid9++w1eXl4YOXIkzp8vuWb222+/jf/85z8IDAzEP//8g759++LmzZvIz89Hv3798NRTT6FXr15YvXo1hBB4/vnnERkZicjISJw4cQLp6elo3749QkJCsGXLFhQUFGDs2LHo2bMnTp8+jatXr2L06NF49913IYTAF198gZdffhnZ2dnYv38/FixYgPT0dJw8eRLLly9HdnY2Tp48iW+//RbFxcVISEjAsWPHUFhYiK1bt6KgoABJSUk4d+4cDAYDjh49iuLiYly8eBG5ubm4efMmMjMzYTQacf36dQAwD73n5eUBgHmHIT8/HwDMt0w0/u+zado5vP1foopwqLsMVVWvvvoqTp06ZXFD8Y4dO2LixIkYOXJkma+pzJ0+Tp48ifOHDkEUFln8wd/+FgqU/dyd/2+5nDu2u8N8yzvv29vICgoR8O1GuKdcRH7DGGSMGgKhUpWr5vKvW8VfX1RUhHPnzmHbtm3Ys2cPvL29sXHjRsTFxaGibHmXofKYMWMG3n77bXTu3Bnjx4/HG2+8gSNHjmD27Nl49dVXze1+/PFHPPzww2jQoAH69u2LRYsWoUGDBtixYwfWrFmD5557Dh07dgQA7NixA/369cOhQ4dw5coVDBkyBF988QUiIiKQkpKCoKAg+Pj44OjRowAAjUaDevXqYf/+/QCAmjVrQqVSmXvPEREROHfuHAAgODgYaWlpMBgMCAsLQ3p6OnJycqDT6cyh2KRJExw5cgRyuRw1a9ZEcnIy/Pz8kJGRAZlMBq1Wi+zsbAQGBiI1NRU6nQ4FBQWQyWRQq9XIy8tDrVq1kJycDLlcXvJZlMlQXFxs/pvUaDTIz8+HWq2G0WhEUFAQbty4gWrVqiEvLw9qtRp6vR55eXkICQlBbm4uvL29kZ2dDXd3d6hUKhQVFUGhUMBgMMDDwwNHjhxBaGgocnJyzG1ycnIQGBgIoGQEQqPRAACuXr0KjUYDLy8v83p5eXmhsLDQvD5eXl4oKirCo48+irlz55b7Bhy8y5DEBN23t99+WwwePNhiWvPmzcV33313x9fo9XoBQOTm5gq9Xi/0er0wGAx3Xc7kyZMFAKd6KCET8dWCxZ81osUK/1rCR66QvCbTQ6vVilGjRonz589X+rNxsPOD4mDnByv9+vudj9FoFFOmTDGvk1wuFwsXLhTFxcWl2r7xxhvmdjExMeLixYtCCCGKi4vFxIkTzc9NnTpVGI1GcfToUeHl5SUAiPr164vMzEyxevVqc7tZs2aJ3bt3C7VaLQCIoUOHig8++MD8/Jw5c0SHDh0EAFGnTh3x2GOPCQBCo9GI7t27l3w+lErx4IMPCgBCrVYLjUYjAAiVSmWej06nM7dVKpWSf26keHz//fd3/RwYDAbzdiY3N1cAEHq9vsKfJ7p/7OlawcaNG/Hiiy/i8OHDAEqGo/z8/LBnz5473ujctLd5q/j4eMydO/eOy9m5cyeO/vknoC8CAIs923L9H5Z7wpbtLJ6o9HzvOM+7vh7w2ZmAanv2w1DNG+ljh6GoVmjF1092t/Ur///lcjlq1aqFqKgoqNVq3A+pe7omBw8exNGjR9G2bVvUqVPnju327t2LpKQk9OnTBzqdzjy9uLgYW7ZsgVKpRNeuXc3Tk5OT8ddff6FPnz7w8vICAOzevRt5eXno3r07ZDIZjh8/jrNnz6J3795wc3PDn3/+ieLiYrRv3x65ubnYvHkzunTpgmrVqmHLli0ICwtD3bp1sXnzZtSsWRMNGjTAtm3bEBwcjJCQEGzcuBFdu3ZFVlYWEhMT0bt3b2zZsgVRUVFwd3fHoUOH0K1bN2zevBlxcXE4f/485HI5fHx8cPr0aTRp0gR79uxB9+7dsWXLFnTt2hU7duxAmzZtsHPnTsTFxWHXrl1o164d/vzzT7Rs2RJ///03GjZsiDNnziA4OBh5eXnQ6/UICAjAhQsXEBERgVOnTiE0NBT5+fnmHuzly5fh7+8PIQRu3rwJHx8fZGRkoKioCAEBAbhy5Qq8vLygUqmQlpaGatWqQaVS4fr165DL5fD09EReXh4KCgrg4+ODoqIi3Lx5EyqVCiqVCnl5eUhJScGTTz4JufzO3xbOnTu31EF17OlKg6FrBfn5+ahduzbeeOMNDBs2DIsWLcIPP/xgHk4riyl0c3NzzR98uVx+z9NRqupN7K3h+qbfcP7tJQBkiHgtHgHDBkld0n2rKqFLrs1oNKK4uBhAybZHq9UydCXCA6mswMPDA7/88guWLFkCPz8/bNmyBRs2bCjXa5VKpflR1c//tDX/Xt0R88FbUPpUw9nnZuPc8/FOd2tAIikoFAqLbQ1Jh6FrJc2bN8fevXuRnZ2NnTt3IjIyUuqSHJI2ug7qfbwYns1jkbpuPY72GYTcYyekLouIyCoYulTlKKt5o+6b8xEycQwKzibjaN8huPzhKoj/DY8RETkqhi5VSTKFAsEjHkHM8negCgrE+flv4lj/R5F7IlHq0oiIKo2hS1WaNroO6q9YgoAhDyPn0FEc7TUI5xe+DeP/LmBARORIGLpU5Sk83FHryYmo9+G78IgIx+WlK3CoY2+kff09h5yJyKEwdMlhaKProN7yd1HzqUkw5uTizPQXcKTXIGTt2M1L8hGRQ2DokkORuSkQOLg/Gn2xEkGPDkb+6TM48eg4HOs3DBm//sGeLxFVaQxdckhunp4InTwWDT/7GNX79Ubu0eNIfHwKDnfvh9QvvobxfxexJyKqShi65NDUQYEIe+4pNFr/CQKHDUJhyiWcmzkH+5t2wLkXX0HuseMceiaiKsNN6gKIrEHl54uaT4xDjVGPIn3LVqT99F+krv0SqWu/hHvtMPg91Bt+fXtBUz+63HdjISKyNoYuORWFVoOAhx9E9f59kHsiERlbtiFz+y5cev9DXHr/Q6iCg+DdMQ7VOsbBu31bKP39pC6ZiFwIQ5eckkwmg65+DHT1Y1DzqYnIOXocmdt34ebeg0hb/y3S1n8LAFCH1YQuthF0sY2ha9wAHnUi4ebrw94wEdkEQ5ecnkwuh2eThvBs0hAAoL+Whpt7DyL70BHknjyN9B82Iv2Hjeb2Cm8veERFwCMiHKrgIKgCA6AKCoAqKBBufj5w8/SEwlMHmYvfoIKIKo639pOI6dZ+Fb29ljPf2k8qhuwc5J06g7zTZ1GQchEFFy6iIOUiDFk37vo6uVYDN09PFEAgt6AAxXI5hFz2v39L/l/tWjoA4Ia/L2SmPzUhIBMCMgEA//6rUirh5+sHCFFy6pMQgCiGEEDh+QsAAHVIcMmBYQKQqZSQK5WQqVWQq1SQKZWQq//3r4d7yc6BlyfcPHVQeHpC4e0JN09PKP39oKzuD6W/H+RqVVmrRk6sstsesg72dMnluXnq4NU8Fl7NYy2mG3PzoE+7jqL0DOjT0lF0/ToMN7NhzMmFMTcXxtw8GHNzkZeeAWEwQFFcDHmxgNwUqsUCcoMRAKDLyIIAAJnM8l8AQlbys0xvgFFxE5CV9M4BGSCXAbcMdcvc3CD/38/FBgOMBQUQGQaIoiIUFxVBFBVBFBkgjMZyrbvC2wuqgOpQVveHKjgI7rVCoK5VE+61QqGuVROqoID/1UJE1sCerkTY03UNx0ZPBgA0/PRDu86nuKioZKfAvIOQC2NOHozZOSi6cQNFGZkwpGeiKMP0yIAxJ7fUfGQqJdS1akJTNxIedetAUzcKHnUj4RFRm71kB8WerrTY0yVyQnKlEvJq3lBW8y73a4x5eSi8korCy1dQeCUV+iupKLxyBQUXLiNj0+/Axi3/NlYo4BEZDl3jhtDGNoKucUNo6sdA4eFug7Uhch4MXSICACg0Gmgia0MTWbvUc8WFehSkXEB+cgryk1NQkHweeWeSkPZ/PyDt/34AUDL07RFdB7rYRvBq0xJerVtAHRJs79UgqtIYukR0T3K1Cpo6kdDUibSYXpR1A3mJp5GbeBp5J08j9+QpXPv8BK59vgEAoK4ZAs9WLeDVpgW82rSEe+0wno5FLo2hS0SVpqzmDe/WLeDduoV5WuHVVOQc+QfZh48h58gxXP/mB1z/pqQ3rK4Vimqd2qNalw7wbtcaCp1OqtKJJMHQJSKrUgcFQh0UCL8HugIAijIykX3kH2QfOIwbf+9H6mdfIfWzryBzc4OueSx8unSAzwNd4VE3ir1gcnoMXSKyKaWvD3w7t4dv5/YQQqDw0mXc/PsAbvy9D9kHjyA7YR9SFr0L99ph8O3VHb69ukPXrAlPVSKnxNAlIruRyWRwDw2Be2gIAgY+hGJ9EbIPH0XWrj3I2vUXLi9fhcvLV0FZ3R++PbvB98Ge8G7Xmlf/IqfB0CUiychVSni3bAbvls1Qa9oTyD15qiSAd+5B6rr1SF23Hsrq/vDr1wf+A/pCF9uIQ9Dk0Bi6RFQlyORy800qQic+jvzkFGT8sQMZv23D1VVrcXXVWqjDasJ/wEOoPqAvPKIipC6ZqML4pQkRVUke4bUQMnYkGn6+AvU+fA+BQx5GcU4uLr23DIc69cHRvo8g9fMNMGTnSF0qUbmxp0tEVZpMJoO2Xl1o69VF6BPjkH34KNI3/4HMbTtxbtZ/kBz/Gvz69kTAo4Ph2ao5h5+pSmPoEpHDkCkU8GoWC69msaj19GRk/LED1zduRtrX3yPt6+/hHhGOgEcHI2DYICh9faQul6gUDi8TkUNSaDWo/lAv1Fv+LhqsWY7AIQ/DkJ6JlAVvYX/zTjgz/QXkHDoqdZlEFhi6ROTwPGqHoeaTE9H4m7WI+M/z0EZHIe3r73H0wSE48uAjSPv6exQXFEpdJhFDl4ich1yphG+3Toj54C3UX7kE/g/2RP6JRJyZ/gL2t+yMlNfegf5qqtRlkgtj6BKRU9LUiUT4rGlo/M1ahE4ZD4WHOy598DEOtOmGM8+8iLyTp6QukVwQQ5eInJqbpyeChg5Ew3UrELXwP9DWj0Hahu9wuFs/HB8xATd27oEQQuoyyUXw6GUicgkyuRzV2rVBtXZtkHMiEanrv0Xm9t24sW0nNA3qocbksfB7qBfkSqXUpZITY0+XiFyOrl40Iue+iEZfrETAoH4oOHsOZ56aiUMdeyN13XoUF+qlLpGcFEOXiFyWOjgItZ6ejMZfr0WNcY/BeOMmzj0fj4NxPXBl1VoY8/OlLpGcDEOXiFyem5cnaox6FI2++gShU8ajWK9H8n8W4mCbbri0bCWMObzUJFkHQ5eI6H8UGg8EDR2Ixl+tRq1pTwAyecnFNlp1xYV3l8JwM1vqEsnBMXTL6Z9//kGXLl1QrVo1REREYMWKFebn0tLS0KdPH3h6eqJOnTrYtGmThJUS0f2Sq9UIGPgQGn25CmEzn4abVoOLby3BgTbdcOmDj2HMy5O6RHJQDN1yGjhwIB588EGkp6fju+++w4svvojdu3cDACZOnIiIiAikp6djyZIlGD58OLKysqQtmIjum1ypRPW+vdDwsxUIf346FB7uSHntHRxs2x1XVnzKq1xRhTF0yyE9PR2RkZF49tlnoVAo0KRJE3Tq1Al//fUXcnJy8NNPPyE+Ph4qlQq9evVCu3bt8NVXX0ldNhFZicxNAf8+D6DhuhWo9cxUADIkz30NB9s9gNTPvkKxnkc7U/kwdMvBz88PGzduhFxe8uu6ceMGdu3ahUaNGuH06dOoVq0aqlevbm4fHR2N48ePS1UuEdmIXKlEwMMPotEXKxE6dQKKCwpw7oW5ONSpD65t+A7CaJS6RKriGLq32LRpE2QyWanHmDFjzG3y8vIwYMAAtGrVCj169EBubi40Go3FfDQaDfLK+Z1PUVGR+WHkHyyRQ5Cr1Qh6ZAAafbkaIRNGw5CRhbPPvIjDPR5G5u/bq9wVroxGo8W2hqTD0L1Fz549LT6Ypsfq1asBANeuXUPnzp3h7u6ODRs2QCaTQaPRIP+2c/ny8vKg0+nKtUytVguVSgWVSoX58+dbfZ2IyHYUGg8EjxyKRl+tRtDIoShMTsHJUZNwfMho5ByuOrcVnD9/vnk7o9VqpS7HpTF0byGTyeDm5lbqIZfLcf78ebRp0wZNmjTBjz/+CA8PDwBAVFQUsrKykJGRYZ5PYmIioqOjy7XM3Nxc6PV66PV6zJkzxybrRUS25eapQ+iE0Wj4+Qr4P/gAbibsw9E+Q3BqyrMoOH9B6vIwZ84c83YmNzdX6nJcGkO3HIqKivDggw/ioYcewooVK+Dm9u8lq728vNC7d2/Mnj0bBQUF2Lx5M3bu3IkBAwaUa95KpdL8UCgUtloFIrIDVXV/hM+ajgarl8K7bSuk/7ARhzr1RtJ/FqIoI1OyuhQKhcW2hqTD0C2HzZs3459//sHKlSuh0+nMj4ULFwIAVq5ciStXriAoKAhPP/00vvrqKwQFBUlcNRFJxaN2GOosmou67y2CR2QErq5ai4NxPXDpg495mpGLk4mq9o2/iygqKoJKpYJer6/Qnqfh0mWI/AIbVkbWdGz0ZABAw08/rBLzIfsTQiBz605cWrEGhZevQl0rFGEvz4Rvnwcgk8nsXk9ltz1kHezpEhHZkEwmg2/Xjmjw6UcIfWIcDOkZODVxGv4ZPAq5x05IXR7ZGUOXiMgO5ColgoYNQsPPV8L/od7ITtiHI70G4uysOdCnXZe6PLIThi4RkR0pfaohfMZTqL9yCTybNMK1z7/GofY9cWn5Kt7H1wUwdImIJKCJikDd915D5PzZUHh6IuXVN3Goy4PI+PWPKndxDbIehi4RkURkMhl8OrZDw08/RMjEMSi6dh2Jj0/ByVGTUJCcInV5ZAMMXSIiicnVKgSPeAQNP18B3x5dkPXHDhzq0hcpb74P421XvCPHxtAlIqoiVH6+iHh5JqLffx3uITVw6b1lONylL4ecnQhDl4ioivFs0gj1Vr6P0KkTUJSeWTLkPHoyh5ydAEOXiKgKkru5IeiRAWi47uOSIefft+NQl7648Nb7MPICOQ6LoUtEVIWZh5wXvw51SDAuvrsMh7v2ReaWrVKXRpXA0CUicgCesY1Qf+WSkiHn6xk4OeYJnBz3JAovXZG6NKoAt3s3oapE5uYGKFVSl0Hl9b9r68ru9z2z1nzIoSmUKgSPGAq/B7ohZfEyZG76DTd27EbMJ8vh3b6N1OVROfCGBxLhRceJ6H5l/rEDl97/EDFrP4Kbl2e5XsNtj7QYuhLhB5+IpMBtj7T4nS4REZGdMHSJiIjshKFLRERkJwxdIiIiO2HoEhER2QlDl4iIyE4YukRERHbC0CUiIrIThi4REZGdMHSJiIjshKFLRERkJwxdIiIiO2HoEhER2QlDl4iIyE4YukRERHbC0CUiIrIThq4DMRqNmDt3LoxGo9SlWJ2zrpuzrhfgvOvmrOsFlKzbvHnzpC7DpcmEEELqIlxRUVERVCoV9Ho9lEqlzV7jKJx13Zx1vQDnXTdnXS/g33UD4JTr5wjY0yUiIrITN6kLcFWmAYaioqJyv8bUtiKvcRTOum7Oul6A866bs64XYLlOHOSUBoeXJZKXlwetVit1GUTkonJzc6HRaKQuw+UwdCVSXFyMgoICuLm5QSaTSV0OEbkIIQQMBgPc3d0hl/MbRntj6BIREdkJd3OIiIjshKFLRERkJwxdIiIiO2HoEhER2QlDl4iIyE4Yug7o559/hlKphE6nMz/27t0rdVmVlpCQgKZNm0Kr1aJDhw44e/as1CVZxYwZM+Du7m5+j/z9/aUu6b698847GDNmjPlnZ3rvbl83R3//fvjhBzRo0ABeXl5o0aIFdu/eDcC53jNHxNB1QIcPH8aUKVOQk5NjfrRs2VLqsiqloKAAAwYMwMyZM5GZmYkePXpYbPgc2eHDh/Hll1+a36Pr169LXVKlFRYWYs6cOZg5c6Z5mrO8d2WtG+DY719SUhJGjRqFZcuWISsrC8888wz69euH7Oxsp3jPHBlD1wEdPnwYTZo0kboMq9i6dSt8fX0xfPhwqFQqzJ49G8eOHcPJkyelLu2+OdP7NGbMGBw8eBATJkwwT3OW966sdQMc+/1LSUnBhAkT0KlTJ8jlcowYMQIA8P777zvFe+bIGLoO6PDhw1i/fj1q1KiB6OhofPLJJ1KXVGknT55ETEyM+WeFQoHIyEgcP35cwqru35UrV5Ceno5nnnkG1atXR5s2bfDXX39JXValvfPOO/j5558RFBRknuYs711Z6+bo71+nTp3w1ltvmX/+66+/kJeXB4PB4BTvmSNj6FZRmzZtgkwmK/UYNWoUQkNDMWLECCQlJWHNmjV47rnnsHXrVqlLrpSyrv+q0WiQl5cnUUXWcf36dXTu3BkvvPACLl26hPHjx6Nv375IT0+XurRKCQ4OLjXNWd67stbNmd6/M2fOYNCgQZg/fz4UCoVTvGeOjKFbRfXs2RNFRUWlHmvWrMHvv/+OUaNGQa1Wo23bthgxYgR++uknqUuuFI1Gg/z8fItpeXl50Ol0ElVkHY0aNcLvv/+Otm3bQqVSYfz48QgODjYfzOIMnPW9A5zn/fv7778RFxeHCRMmYMaMGU79njkKhm4VJZPJ4ObmVuqRmpqKF154weK2XIWFhXB3d5ew2sqLiYnBqVOnzD8bjUacOXMG0dHRElZ1/3bv3o3ly5dbTNPr9Q77PpXFWd87wDnev82bN6NHjx5YuHAh5s6dC8C53zNHwdB1MD4+Pvjkk0+wePFiFBcXY+fOndiwYQOGDx8udWmV0qVLF6SmpmLt2rXQ6/VYsGABIiMjUa9ePalLuy9qtRozZ87Erl27YDAY8P7776OgoAAdO3aUujSrcdb3DnD89+/06dMYPHgwVq9ejfHjx5unO/N75jAEOZyEhATRunVrodVqRVRUlPj666+lLum+7Nu3T7Ro0ULodDrRvn17cebMGalLsopPP/1UREZGCo1GI+Li4sSRI0ekLum+xcfHi9GjR5t/dqb37vZ1c+T377nnnhMymUxotVqLx44dO5zqPXNEvLUfERGRnXB4mYiIyE4YukRERHbC0CUiIrIThi4REZGdMHSJiIjshKFLRERkJwxdIiIiO2HoEhER2QlDl4iIyE4YukRERHbC0CUiIrIThi4REZGdMHSJiIjshKFLVAXl5eWhUaNGuHr1qk2XYzQa0axZM5w5c8amyyGiEgxdoiooPj4eDz/8MIKCgmy6HIVCgZdffhmTJ0+26XKIqATvp0tUxVy7dg21a9dGUlISAgICbL48IQTCw8Px2WefoWPHjjZfHpErY0+XyMbWrFkDmUxW6tGlS5cy23/44Ydo1aqVReB27twZY8aMKXO+JmPGjEHnzp3x8ccfIzw8HFqtFoMGDUJ2djZ+/PFHNGjQADqdDr169bIYtpbJZHj44YexePFi6644EZXiJnUBRM5u6NCh6NWrl/nn7du3Y+TIkZg1a1aZ7X/++WcMHjy4Uss6ePAggoKC8Msvv+Dq1asYPHgwBg8eDCEE1q5di+LiYjzyyCOYNWsW1q5da35d7969MXjwYBgMBri5cbNAZCv86yKyMQ8PD3h4eAAAkpKS8OSTTyI+Ph69e/cu1dZoNOLAgQOIj4+v1LLc3NywZs0auLu7o0GDBhgyZAhWrlyJy5cvm78fnjBhApYsWWLxuoYNGyI3NxfHjx9H48aNK7VsIro3Di8T2Ul2djYeeughtGvXDrNnzy6zTXp6OoxGI/z9/Su1jJiYGLi7u5t/Dg4ORnBwsMUBWcHBwUhNTbV4XfXq1QGg1HQisi6GLpEdFBcXY/jw4TAYDFi7dq3Fd7G3ksvl5vb3YjQaS01TKpUWP8tksjKn3X78pGl5puUTkW1weJnIDl588UVs374dCQkJ8PLyumM7Pz8/KJVKpKWllXruypUrFj+fPn3aavWZlmfrU5SIXB13a4ls7LPPPsObb76J5cuXw8/PD1evXjU/bieTydC8eXMcPny41HO///47Vq9ejaSkJHz77bf46KOPAAA7duwo1XOtqEOHDsHLywt169a9r/kQ0d0xdIlsbNWqVRBCYOTIkQgMDDR/zxocHFxm+759+2Lbtm2lpvfp0wdfffUVYmJi8PLLL+OTTz5BaGgoRo8efd+hu337dvTs2bPUUDQRWRcvjkFUxVy9ehWRkZFITExEaGgogJLzdMPDw7FmzRqrL89oNKJWrVr4/PPP0blzZ6vPn4j+xZ4uURUTFBSECRMmYOnSpXZZ3rfffouoqCgGLpEdMHSJqqBXX30VP/74Y6mDp6zNaDRiwYIF+Pjjj226HCIqweFlIiIiO2FPl4iIyE4YukRERHbC0CUiIrIThi4REZGdMHSJiIjshKFLRERkJwxdIiIiO2HoEhER2QlDl4iIyE4YukRERHbC0CUiIrIThi4REZGdMHSJiIjshKFLRERkJwxdIiIiO/l/rhvfFk87vCkAAAAASUVORK5CYII=",
"text/plain": [
"<Figure size 375x375 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 375x375 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 375x375 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 375x375 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 375x375 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 375x375 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"ename": "",
"evalue": "",
"output_type": "error",
"traceback": [
"\u001b[1;31mThe Kernel crashed while executing code in the current cell or a previous cell. \n",
"\u001b[1;31mPlease review the code in the cell(s) to identify a possible cause of the failure. \n",
"\u001b[1;31mClick <a href='https://aka.ms/vscodeJupyterKernelCrash'>here</a> for more info. \n",
"\u001b[1;31mView Jupyter <a href='command:jupyter.viewOutput'>log</a> for further details."
]
}
],
"source": [
"powers = np.linspace(0.936,0.948,10)*initial_power\n",
"\n",
"for i, p in enumerate(powers):\n",
" trap[trap.power_tweezer] = p\n",
" plot_solutions(trap,200,-0.5*zr,1.9*zr,n_pot_steps=2000)"
]
},
{
"cell_type": "code",
"execution_count": null,
"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": "3.12.7"
}
},
"nbformat": 4,
"nbformat_minor": 2
}