From c1ffbc406d6b88c6fa2d4853d9242453e7865b1b Mon Sep 17 00:00:00 2001 From: Rohan Narayan <128184471+Rohan-1729@users.noreply.github.com> Date: Tue, 18 Apr 2023 17:47:11 -0500 Subject: [PATCH 1/2] Delete demo_fluxonium.ipynb --- examples/demo_fluxonium.ipynb | 22458 -------------------------------- 1 file changed, 22458 deletions(-) delete mode 100644 examples/demo_fluxonium.ipynb diff --git a/examples/demo_fluxonium.ipynb b/examples/demo_fluxonium.ipynb deleted file mode 100644 index ecaa7b3..0000000 --- a/examples/demo_fluxonium.ipynb +++ /dev/null @@ -1,22458 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# scqubits example: the fluxonium qubit\n", - "J. Koch and P. Groszkowski\n", - "\n", - "For further documentation of scqubits see https://scqubits.readthedocs.io/en/latest/.\n", - "\n", - "---" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "metadata": { - "ExecuteTime": { - "end_time": "2020-03-27T12:06:07.457721Z", - "start_time": "2020-03-27T12:06:06.226978Z" - }, - "init_cell": true, - "pycharm": { - "is_executing": false - }, - "scrolled": true - }, - "outputs": [], - "source": [ - "%matplotlib inline\n", - "%config InlineBackend.figure_format = 'svg'\n", - "\n", - "import numpy as np\n", - "import scqubits as scq" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Fluxonium qubit" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "$H_\\text{fl}=-4E_\\text{C}\\partial_\\phi^2-E_\\text{J}\\cos(\\phi-\\varphi_\\text{ext}) +\\frac{1}{2}E_L\\phi^2$" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "**Creation via GUI** (ipywidgets needs to be installed for this to work.)" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": { - "ExecuteTime": { - "end_time": "2020-03-27T12:08:37.174509Z", - "start_time": "2020-03-27T12:08:37.105692Z" - } - }, - "outputs": [ - { - "data": { - "application/vnd.jupyter.widget-view+json": { - "model_id": "", - "version_major": 2, - "version_minor": 0 - }, - "text/plain": [ - "HBox(children=(VBox(children=(HBox(children=(Label(value='EJ [GHz]'), FloatText(value=8.9, layout=Layout(width…" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "application/vnd.jupyter.widget-view+json": { - "model_id": "", - "version_major": 2, - "version_minor": 0 - }, - "text/plain": [ - "Output()" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "fluxonium = scq.Fluxonium.create()" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": { - "ExecuteTime": { - "end_time": "2020-03-24T22:08:13.758806Z", - "start_time": "2020-03-24T22:08:13.744843Z" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Fluxonium-----------| [Fluxonium_1]\n", - " | EJ: 8.9\n", - " | EC: 2.5\n", - " | EL: 0.5\n", - " | flux: 0.0\n", - " | cutoff: 110\n", - " | truncated_dim: 10\n", - " |\n", - " | dim: 110\n", - "\n" - ] - } - ], - "source": [ - "print(fluxonium)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "**Programmatic creation**" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": { - "ExecuteTime": { - "end_time": "2020-03-27T12:06:07.463676Z", - "start_time": "2020-03-27T12:06:07.459683Z" - } - }, - "outputs": [], - "source": [ - "fluxonium2 = scq.Fluxonium(\n", - " EJ=8.9,\n", - " EC=2.5,\n", - " EL=0.5,\n", - " cutoff = 110,\n", - " flux = 0.5\n", - ")" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Computing and visualizing spectra" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "array([-2.7022458 , 6.05619946, 6.27730681, 8.29978855, 14.23074422,\n", - " 16.86961382])" - ] - }, - "execution_count": 5, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "fluxonium.eigenvals()" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": { - "ExecuteTime": { - "end_time": "2020-03-24T22:08:15.008710Z", - "start_time": "2020-03-24T22:08:14.988765Z" - } - }, - "outputs": [ - { - "data": { - "text/plain": [ - "array([-2.7022458 , 6.05619946, 6.27730681, 8.29978855, 14.23074422,\n", - " 16.86961382])" - ] - }, - "execution_count": 6, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "fluxonium.eigenvals()" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [ - { - "data": { - "application/vnd.jupyter.widget-view+json": { - "model_id": "", - "version_major": 2, - "version_minor": 0 - }, - "text/plain": [ - "Spectral data: 0%| | 0/151 [00:00\r\n", - 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "fluxonium = scq.Fluxonium(\n", - " EJ=5.7,\n", - " EC=1.2,\n", - " EL=1.0,\n", - " cutoff = 150,\n", - " flux = 0.5\n", - ")\n", - "fig, axes=fluxonium.plot_wavefunction(esys=None, which=[0,1,2,3,4,5], mode='real');" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Matrix elements" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "metadata": { - "ExecuteTime": { - "end_time": "2020-02-13T22:55:23.804641Z", - "start_time": "2020-02-13T22:55:22.664581Z" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[[-2.90163865e-14 -2.42020774e+00 5.90469630e-15 -5.96669304e-01\n", - " -2.03234656e-15 1.26034410e-02 5.95007150e-16 1.05152531e-02\n", - " -1.74134593e-15 -2.08796925e-03]\n", - " [-2.42020774e+00 3.00354610e-14 1.16100233e+00 3.24395106e-15\n", - " -1.98939356e-01 -7.54922082e-17 1.96392027e-02 -1.61667425e-15\n", - " -1.88229452e-03 -5.82740140e-16]\n", - " [ 5.90469630e-15 1.16100233e+00 2.41381156e-16 2.02810531e+00\n", - " 1.37402274e-15 -2.87499531e-01 2.56172447e-16 -3.19256763e-02\n", - " 5.97912002e-16 1.96457721e-04]\n", - " [-5.96669304e-01 3.24395106e-15 2.02810531e+00 6.91353555e-16\n", - " -2.11221368e+00 -2.34689704e-15 -1.78076985e-01 2.51487532e-15\n", - " -4.52028150e-02 2.16859244e-15]\n", - " [-2.03234656e-15 -1.98939356e-01 1.37402274e-15 -2.11221368e+00\n", - " -3.58037476e-15 2.41344721e+00 9.55042118e-16 -1.41490331e-01\n", - " -1.89666319e-15 5.74957935e-02]\n", - " [ 1.26034410e-02 -7.54922082e-17 -2.87499531e-01 -2.34689704e-15\n", - " 2.41344721e+00 -6.45618181e-15 2.65902027e+00 5.82901810e-15\n", - " -7.06894388e-02 3.34797329e-15]\n", - " [ 5.95007150e-16 1.96392027e-02 2.56172447e-16 -1.78076985e-01\n", - " 9.55042118e-16 2.65902027e+00 3.66400698e-15 -2.95543793e+00\n", - " -8.25765333e-15 2.89606649e-02]\n", - " [ 1.05152531e-02 -1.61667425e-15 -3.19256763e-02 2.51487532e-15\n", - 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "fluxonium.plot_matelem_vs_paramvals('n_operator', 'flux', flux_list, select_elems=4);" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "celltoolbar": "Initialisation Cell", - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.8.10" - }, - "pycharm": { - "stem_cell": { - "cell_type": "raw", - "metadata": { - "collapsed": false - }, - "source": [] - } - }, - "toc": { - "base_numbering": 1, - "nav_menu": {}, - "number_sections": false, - "sideBar": true, - "skip_h1_title": true, - "title_cell": "Table of Contents", - "title_sidebar": "Contents", - "toc_cell": false, - "toc_position": {}, - "toc_section_display": true, - "toc_window_display": false - }, - "varInspector": { - "cols": { - "lenName": 16, - "lenType": 16, - "lenVar": 40 - }, - "kernels_config": { - "python": { - "delete_cmd_postfix": "", - "delete_cmd_prefix": "del ", - "library": "var_list.py", - "varRefreshCmd": "print(var_dic_list())" - }, - "r": { - "delete_cmd_postfix": ") ", - "delete_cmd_prefix": "rm(", - "library": "var_list.r", - "varRefreshCmd": "cat(var_dic_list()) " - } - }, - "types_to_exclude": [ - "module", - "function", - "builtin_function_or_method", - "instance", - "_Feature" - ], - "window_display": false - }, - "widgets": { - "application/vnd.jupyter.widget-state+json": { - "state": {}, - "version_major": 2, - "version_minor": 0 - } - } - }, - "nbformat": 4, - "nbformat_minor": 4 -} From a40a695369de7a5aa32d72c62aec83519c77cd7c Mon Sep 17 00:00:00 2001 From: Rohan Narayan <128184471+Rohan-1729@users.noreply.github.com> Date: Tue, 18 Apr 2023 17:49:30 -0500 Subject: [PATCH 2/2] Add files via upload Removed two redundant code boxes. --- examples/demo_fluxonium.ipynb | 21500 ++++++++++++++++++++++++++++++++ 1 file changed, 21500 insertions(+) create mode 100644 examples/demo_fluxonium.ipynb diff --git a/examples/demo_fluxonium.ipynb b/examples/demo_fluxonium.ipynb new file mode 100644 index 0000000..ed7329f --- /dev/null +++ b/examples/demo_fluxonium.ipynb @@ -0,0 +1,21500 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# scqubits example: the fluxonium qubit\n", + "J. Koch and P. Groszkowski\n", + "\n", + "For further documentation of scqubits see https://scqubits.readthedocs.io/en/latest/.\n", + "\n", + "---" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "ExecuteTime": { + "end_time": "2020-03-27T12:06:07.457721Z", + "start_time": "2020-03-27T12:06:06.226978Z" + }, + "init_cell": true, + "pycharm": { + "is_executing": false + }, + "scrolled": true + }, + "outputs": [], + "source": [ + "%matplotlib inline\n", + "%config InlineBackend.figure_format = 'svg'\n", + "\n", + "import numpy as np\n", + "import scqubits as scq" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Fluxonium qubit" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "$H_\\text{fl}=-4E_\\text{C}\\partial_\\phi^2-E_\\text{J}\\cos(\\phi-\\varphi_\\text{ext}) +\\frac{1}{2}E_L\\phi^2$" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Creation via GUI** (ipywidgets needs to be installed for this to work.)" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": { + "ExecuteTime": { + "end_time": "2020-03-27T12:08:37.174509Z", + "start_time": "2020-03-27T12:08:37.105692Z" + } + }, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "5bbb3298c8dd47d0bc9bdbe54a862cea", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "HBox(children=(VBox(children=(HBox(children=(Label(value='EJ [GHz]'), FloatText(value=8.9, layout=Layout(width…" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "4326b8db1192412a8403c750921cde64", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "Output()" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fluxonium = scq.Fluxonium.create()" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "ExecuteTime": { + "end_time": "2020-03-24T22:08:13.758806Z", + "start_time": "2020-03-24T22:08:13.744843Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Fluxonium-----------| [Fluxonium_6]\n", + " | EJ: 8.9\n", + " | EC: 2.5\n", + " | EL: 0.5\n", + " | flux: 0.0\n", + " | cutoff: 110\n", + " | truncated_dim: 10\n", + " |\n", + " | dim: 110\n", + "\n" + ] + } + ], + "source": [ + "print(fluxonium)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Programmatic creation**" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": { + "ExecuteTime": { + "end_time": "2020-03-27T12:06:07.463676Z", + "start_time": "2020-03-27T12:06:07.459683Z" + } + }, + "outputs": [], + "source": [ + "fluxonium2 = scq.Fluxonium(\n", + " EJ=8.9,\n", + " EC=2.5,\n", + " EL=0.5,\n", + " cutoff = 110,\n", + " flux = 0.5\n", + ")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Computing and visualizing spectra" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([-2.7022458 , 6.05619946, 6.27730681, 8.29978855, 14.23074422,\n", + " 16.86961382])" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "fluxonium.eigenvals()" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "Spectral data: 0%| | 0/151 [00:00\n", + "\n", + "\n", + " \n", + " \n", + " \n", + " \n", + " 2023-04-17T23:10:51.807147\n", + " image/svg+xml\n", + " \n", + " \n", + " Matplotlib v3.6.2, https://matplotlib.org/\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + 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6CHuKdJNQEb7IvSBNI+xJHWHPAAl7vkjYs0vEkIsSnqkr45npMp55MWLIohlbxs1sZueMZzLPeOb+hF0qYDyVBcZTiGA8dQvCrnIwnpoIY1dQCA+xhZjrMohBxCGMry8DdoGIsKtJhFF7ckxKFWDUtQCjCgYYNTPHLq8BQyUOMOp2gEnkc0yS4MQsIDomudExiZOOScqcmIVPxyyTTgyK6mQsvk7MUu2Jo6x74iACnzhKxgNHgXngKEcbfhGvB45S98BRFx+YJXRlr2J7py/CfKcvIn6n+VLwvywOXBcSbooO1wWK62LGZeHjokJyU0q5Lrtclmiuyzk3pZ/rMtF1Semy/HRdqvqLC2vrPtZ86TKvPMpm65vKZWWs+uIC2/UfPMIfYKFtLeK5Zfq3SpU2wHivjGfHMJ69yHh2OeP5fAj7w2Q8nzzjOUwY24Ai5kOP8RynjOegZjxnAOM5XQj73GI8J+LEPGsn5trbxAfZgxN3be80HRMebGZOfrBRGtgWrrgJO3EJq8lObuuF3EAO3katbdrTwWMJznBbRiFvGuvBcxcbwbYPfkRXYHwbBcHhNgweiy3qcRfTuThlWy/lHsl4HqVJd2DG97G+yv1d51XGe2b32HmTnDN40873pcZ6nHL50URR8NWdZ2nRxq69cxk+fShBJKD8aMuGNTm93CJJp7XRAwzlEhsf9vw8HlGuJY4Swhfl27rZyhuIdtYiQ3nZxsIsD46UNxnjYz3ZjKVWlTIkXWgh9NLbWzYZ/IkjNXkET9UWtrDSTG9bxkW1+pfHgZKCSSJ81lNHzNg745BBkzm+lD+X/lhyXjkc1X6qRbueo9e1Ji3Wrn0BDxbphOcijcwcGyuXtqQUQmm9/ioDqRaOvLWdbdM0iAN1vdlNbIGtioMinXRaqWm14iAU6XQM5bVhxqDjTeuFLWQX8m2Sbee0xSKdSkOLPLnwQt+q2lDVVU8PrtLlPnlssOJys6zeKO3V1o/5cjOZd/KgFlv8AsvNkjiida9j/ZivN0ta18tHtc/7ejPhLUnSbNf39WbCizx8q7Cc6800+2zFVnDgejP+sK83o4vDejNqDKw3o8bDgjO6WVhwRp0DC86oM2HFGXU+rDijhwUrzujhnivOcCTgkjMYNbjiDAcZrjjDQYkrznAQ44ozHPS44gwnCa44w0mFK85wEuKKM5y0uOIMJ/mpFpFFAGWJzAcIUWRuQLci8wQyF5kzUMXI/IGIRuYSNDcyryDRkTkGRY/MNwiAZO5PsZB8AwiL6EdAhiS3A6oluSkQOcmtgSZKbhAkVHKboLiSmwWBltwy6LnkxkH+Jbd/SsUUI4CsTAEFqNAUgIBoTQELaNwU4IAkjvEQCOgUPoHeTuEWyPMUnoGaj9EcaP8Y+51lAooToaRAQSVUICgGhYIFhaxQ36AIF8ohFBBD9STwWWwJfNZmAp+lHOZe+QncqkQBzopS4LMAxdzrVYHP8lbgsxoW+CyeBT5rbcy9NBf4rOR9T35z/bv23Lb/7n7v+uemP+/6//Z5XT7cm5FwN3JuR9rdyLwbyTcj/2Km1JuZFertgb/MXONhmg/4YhIGjxbk5NHinDxaqBJfWQg8GsCTB4M5eTCwkweDfPJowCdHaz8huwbn7EomD67HObsq5+zanLMrdE6uc/LgaoGTawZOnhz46fYJQoyAHGMK4hCDEIeYhTjEOMgxJiIOMRRxiLmIQ4xGHGI65DMAJOjRInOPLpl7NEocolfmHu0y9+iYOUTTxCH6Ro7ROnEI7omfmQBBTxuYe5pBHNIS5p7GMPe0h7mnScQhrWLuaRhzT9uYe5rHfOSEBCGBZO4JJ3NPUJl7QsvcE2DikDAz9wSbuSfkzD2BR44JP/NTHSAISgJxUB6Ig1KBHJUN4q6EMHflhLkrLcRBmWHuSg5zV36YnzIRQdCUkKMGRRw0K+KgcREHTYw4aGjIUXMjDhodcdD0iIMGiHwKhgRJXAROYiRwEi+Bk9jpPIijzllMdc7iq3MWaycP4q5zFoOdo3I8YZCZJw+y9MmjjD15kL0njyr5yaOqfvKowg/+otqfPIr8J3+pCQzOBYQOX4sNhl9LEx2/FjI6fi17dHxdJLkpqdwVYG7KNTfFnetS0FXV6K7AdFOOui5e3ZS67gpjN2W0m6LbdYnupqD3l6/0a+P/Nl3l1/UhSQmK/GZPo8JYwpK/+ReP2794CyVJ6ZEsBieFkqRjul/C3juEvS8Je88T9ueEGJ4qYR8DhH3EEB6DCxmMQ8I+agn7GCfsM4Kwz58Tc7l/4o3n5okPnskDd/kM5v2JQ0ly4FFPHBZlwG0N5sf4toQXJU5udRswb8b3uIzZ+DZ2AwTzaTzV8JLH4G1UH908d74nK/iBOe/8WK24BOa/6SRaagpLu42nRi+zGKxbCQvGO5dOSdFxdb6NUig4OuWSLlkFDByj8iKJZwmOVHmTiDpWJZUfEr5FRy1cbcYaHbvwpqWGsEBf+SZRUAorBZXv9SgZ32Vau5SzrLaTKIQkrT/kNYeNL5XLxVOOZUmZsFqaWGNZUvi+lc3W6UFIJWnhJoMlha0QNNrbpNEtbJwgT+B5LM0KKBjiSToqQ+7cF9NDQpn7up5pjSHkpnH2vto+n2e8uenNSgeH1940rpXWJusECGY13pVH9VKWlB/rkZctliXl+psE1EcJwbU2Rle+hO0v9Ka2JD24huBd7kMeydq2EOxrLq0WOmzEsba+RrCVsG2H9rf00m4j5Mw8JGdObWlH2AxkFW+0qPUKL0nqw5dxYGtdMQ2qRRf4HWO7S0+blEvTba9HSLM095Y0col1ySoP+VhKXD+og6tI02wxI6R9MrhKsgWhmCXKvcocyck+7lll0+0L92qXOVNQNNuYr+oollG52naXnt9uWgIrR4rbYMoD1A+EZYTr1roRj0VJdUjLua8hZOc6/FZdZ/fgbH7TOdWsUIDZv/K9pvCiseK+86LVKl1ckNG3iUu2PT9PJUJGf5VwpMZtMDddtTaMFsoc0jN1H1vxoSwiUzRlmfjGXUZpup5tsRoSyi7y9BZ9NGFFoY4+deHWHixKSnfo2q7w4riOpiTTfguLCpUvMq238Fp6H32rDGsqSsrFS91tvqKApY0RI1ms+OiCl7RLrESyBY4gkMlNad3GNpAEQa1pAa/Zkk/Q31pW21RGLdH1umYWI4X1hX0IizmxLUJBD2w6o/KYIaAfym0v6qdshaDrjU1vt664xrCb2JxtLTUKmU2FY3EMYZWhzpxlG5ENCqXCZdjbwl4UVjXuK23rC+hRiFV+lL0ad+FWZ+ZpslDoVS5Rh9XjQBhW3uqosIGQrHzTpXsPFp6Vi2uy658qdYebFZtR0u5mQsxI/zBI4J3LwLBiokvmnUtMYbVKl9g71/cFHizJG7c+AwXf8NGHJSr+ZrVSX/GKFQLj+bDio1cUjJdu0bECYbwWu/4oVwz4UpUc/DDutZBhQtewV+bksSp5mtz+eajNnLxXPaGWc/LeSKj9MPdaEZp0rC0Rh1oU81G4YuhVLuZeFSMOVTTmXnVj7lU65l7VY+5VQOJQNWTuVcbvx2+uf9ee2/bf3e9d/9z0513/3z6vy4d7MxLuRs7tSHsdmfVmJNebkV9vZkq9nlmDv8zEwePMHZyn+QmjTTh5tCEnjzbn5NFGDR5t2uTBBE4eTObkwcROHkzyyaMJnxzsvUN2Ds7ZmUwenI9zdlbO2bk5J2cInJynh6nsbIGTcwYOzpz46fkJQpSAHKMK4hCFEIeohThEOcgxKiIOQRRxCLqIe5DG3IM64mcEyNDDReYeXjL3cJQ4hK/MPdxlDuExcQiniUP4jRzDdeIe3jMfuQBDTxyYe6JBHPIS5p7HMPe8h7nnSZydeVrF3LMw5p613WZ5xK9SQswfiUO+SRzSU+KezjL39Jc4pMvMPb1m7uk4c0/fkWO6z3xoAwxBSCAOwgNxECqQg7DB3IUQ5i6cMHehhTgIM8xdyGHuwg/zoRIxdEmJOEhQzF2yYu4SF3OXxJi7hEYcJTfiINERB0mPOEiAyKdeSJDEReAkRgIn8RI4iZ3OWRwFTmIqcBJfgZNY65zFXeAkBgN35RggyczASZZ2HmXsyYPsPXmQyScPsvrkQYY/+Ytsf/Io8588lgVOzjWEDl/rDYZfqhOGX2oZhl8rHx2/1kkUX1RVOr6pwdxUbG7qO9fVoKvC0V2N6aYidV2/uql2tZva2E0l7abudl2lu6np/cVVyX2ejKdVyXODUd1ftB+Rt6wqAVFVcsez9G7+IlQl1Q9KSCrRJFUlAeP9Mp69w3j2JePZ84zncyLsT5XxHAOM54hhbINrskLjkPEctYznGJ+YZ8TEvK544oNm24kPnpsD567X+0w+cde+fN6fuMvybiUGLgtuU3rCI+xTOniLKyUHH8fduXkzvtptgjkcfD/CZqXGpQ/DUknjxWR8MM/GW7Fal5tz40fdQlVSuXRXWsKepZ2vi+1fd/qWDiXEtH0g3RF1Lln/Eja97lxatYV9Szvf7SmBX1RcUjbtD/xo5/sy1m2631Vemyne4KYVN8nI7cg0d+s9UM06lTkMSHpqlVw/hy3GlWftJFwqqVDIuoW9GGRSS2Ao0y9sYKr80G1Gww6mGk1v2zGWwHqAlFYto5U17Lcu2YHMQMngM8dfGsQX6bycOF4TA6E7gm62aNHjO8m0NJHeWtgCQ5OHuo8NQT18TDKAxPpZqXyEmspkABfrdo9L+2clhRzn+s04Vi9d1pTiXqaal+Smt81xst6qnpwa9jLt6Yfccwv1SBmOOs3tzDyP2tMiAX9OY59ZiPJ1ni/atJAVHDreU9nCZili6KUF627NOVMOhZKK7zE/OVQByNWKaJDP9I9UKzRD/qONFCM89qT0fCn1fVhz2UJ+pYNvT2r3HpSPacqmq92saOP5m44Cmf8trJLUQdD0vLew901/gsvasl1+ppOabrZRXRuZZ0pqirdi6+s8TaWPzqSWL+xJMDfEk2Zqt+fYfJuek3O3eA7P3eg5P3c7aAT0mEBToMd6ChA4BlCtwAGD6gYOMFRDcECCekIDGNQWHO8gztD0ADEHZxNoPzT5QCuiyQraEk3uU4giSwCqFVoNELnQxoAmRiYJNDQyYaC5kckDjY5MJGh6aFFBAiQDDJIhGWyQGMnAn3okeQMQL8l1gNhJrgbEUXJNIKaSKwPxFT0faLXkKEHbJccKWjD6YZCOyW2D1Exu/tSlKSYAEZsCCBC9KeAAkZwCFBDVKaABEZ4CIBDtKWACkZ8CLCgKUEAGRQQK4KDoQAHfWaGg6BDKGRRKQvmDIk8ol1CgCuUVimuhHENhMJRvKGqGcg8F2VAeopgcykkUwkP5KXCrVQU4C1uUSUAhjLkXzgKfhbbAZ2Eu8FnIC3wW/ph7oTDwWVj8nvzm+nftuW3/3f3e9c9Nf971/+3zCg8334yEfDNy8s1IyzcjM9+M5Hw98o2/zJSTx5l18jgTTx5n7uA8zU8YbcLJow05ebA5kwcbdfJo0yYPNnDyYDMnDzZ2crLJztmGA3eDD5C8A3DyJs7Z+QAnZwWcnBtw8oXAyXdOHnwtcPDNxMGXEz8dP0GIEpBjVEHcoxDmHrQw9yCHOARFzD2IYu5BF3OP0Zh7SEf8jP8YerDI3INL5h6MEofYlbnHuswhNCYOoTTxGXoz91A98BnaB255QIAzaQh8JhnMMSkhDkkMcUh6iHuSRBxyKuaegzH3nI25Z3jMRzpIEDJH5p5pMvfMlLknssw98SWOiTJxSKyJQyJOfCbuxCHRD9xUgQCnhBD4lBwCnxIFc5Q0iIMCQtwVE+YusBAHQYa5CzjMXfBhPtQhhq4kEQfhibkLVcxd2GLuQhhzF86Ig87G3HU55qDjEQfdD/kUCQnqP14NIymQxEmxBE4Kp3MWRIGTgAqcBFfgpM86Zz0XOOm/wF0sBkjKMnBSop1H5XryoHRPHpTxyYOSPnlQ3k8elfrJo7J/8lgJODmVDQy+lBgGjgWJgWP5YuBY7Bj4pTTS8UUhpePXskvHr0Wajl9LOh2/FoAUx1pRZzdlpZsi1HXJ6qbAdVcOuyme3ZTargtzN2W8v3x55LboWXKS97/JF7Zi/+yLHddz6WNYHjn/4nH7F7EQqVmPpE+Jl0cCpvsl7L1D2PuSsPc8YX9OiOGpEvYxQNhHzIlhC2BiMA5PvPGoPfHBY3zgHGbEwF1cg/kzcOWy/4n5BNJBbbs6mMiG88Ibtg5cCm/gPHAbe7MOg9KhRlfB+hgf9SSwVp1LR4Rdp43r2V7BGna+lRxe41Be9QiusDrSeN1qWB3Z+SoZUNhgu/OUxpaiYP2VS4tt2Rd4C+VVRz26FoW7niUX/JDwltIoroLfUr6VJZ6fqFwy5raFg317zF8WO/0I/ajwQ08+C6sjk278p4tySvDTRfXVZWxcC35deDvk+inEAUWGt7TZjsiDuEG4xBtjrd8ZZMj/amq8hFejUpVsVBeLhE3ke+KTtzUez5x0C0UJS+PqSE2gxN7YtpMYUalo0yQCjBGYLkxq1TRHjNh0YdIiQypsr5/kq5qaj1iKFH5sx9bCpq32eelF3LRVL57bnls4VjH1pVaS9acQy+q+kIdO0hD7dgVps1XOGCtLlrepNQvHfUse8FRxO4dNW3tCtx17ibF71nrLYufgYayf5TlIp69hdaR+/tBRsYZcIstDX/bKiYfu5yi3lMLJijpcU1Pr/+CsRkbIokuHwupIfeJlX9YtrI7UJ7vo1o12Hc+yNCVPbUtWdvSsTJ5U73urL3oWpw9rkV6x+qJnfZrCt7I0u45nidIeMezZSjGQVcrI349m62pnCoregz5M3C/O3BvD3BvP3G+WOHQOc+9M5t75zP1hIQ8PF/g5Egj6sGHuw4y5D0viMIyZ+7BnDtOEOEwr5DgNifu0Ze7TnPmwCQzdgBAHg8PcDRRzN2jM3QAyd4NJHAwsczfIzN2AM3eDT3x6B4LgSoiD6yEOroo4uDbk6AqJk+sETq4WOLlm5+zKgZPrB+5xAkAKKoBTEOKcgxbgFOQAp6AIOAVRwEPQdfIYpE0egrrJQxA4OUaMA75El2t4F5ZxjFzX8C4s45egOLwLy/gl4A7vwjJ+Deb5XVhOHkKWcJNQvC/9uE5WblKbu0ToJm26SbKuU7KbBK6noFfO7x2JtUXPXa1jkTeIu1rQ0lOA4ws5msmKnX4RjyVMkXEzPDGIzTKRj5osJkNxOuvIqTVFMTv3A5Z32zUaxO+sLwiJ9wxv5Ghksx9li9sD9MB91ej0AUp81QklGZBdxGV7NaHyUwuHDfewRsLwFPYs1zBFd7zOYXsA/XxLMh3s1RsvO9SitaWyxFdy5JJ6KL0tR4eyhsSaSTdfsXdsvAxSNAgptqoYyybSH9uex1J6KLNoAVIPnO2dcNZk9EmJPbYDnqGAoyZXR7q9ZeMFn6zWI9nBt1gg0s/rZju2bYAXlOT68ufVdsSAAlTWfG+spceClTRSemO395WgwJX1IGSZYmF/AL1Zubsl7g+gAbdmfNZpUHDTESJ+09pzVud0o3T5ftucAkp52sMSb43dBLz0J3yXhM8aD6XCotVHaW98LUd4W5KlTFiKFK5nkJewabkORvnSmsMGAcrXIte363hptPQNKurYnNxLqcLlm5Kt1YfSq3JxVQ03COhQwqcSX8xRW5HGrvNYBFYuPZzCpuWd1yPZrgdQZFYu8268sONFaeVbK0fYIaDzfbXjurHo3Xmxw6WxSN75tsQdAozrZkEPLsJ3fox3qM6KfTeMi70uh+V943WznQD8dQDjlsnj6wPGD9umHl43MMO7pPhizuD9a+FthoHH+zr+9sOw34u9r7PNtyUGt40J4O2K09735sPbGCfvzTxf3ThhfC+Hub8Xgn4G3yNh7u+dMPf3VJj7ey3M/T0Y4vDeDHN/z+b78Zvr37Xntv1393vXPzf9edf/F8+rXj3cejMS4htdzF9GWroZmSm+YcY8DvzBXybKycPEmjxMxMnDxD05zfIJ2SQ4ZxPinE2OczZRkweT5pxNoHM2mc7ZxDpnkzx5MOHO3d4DJOcAnJyJc3Y+wMlZASfnBhycIXFwnsDJ2RIH50wcnDnx0/MThDABOYYVxCEMIe5hC3MPc4hDWMTcwyjmHnYx9zCNuYd1xM8YkKEHjMwhwCQOASlyDGCJe8DL3ANk5h5QM/cAnDgE7Mw9wGc+sgGGlDoAh1QDOaQmzD2VYe6pD3NPlYhDasXcUzHmnroxh1QvZodaoDwrj49RU3zujz9bZfHx5ZtWFeRJSH7iBcx3SMWGGP3m7e2Xb+vjz29/kP+/PD5e5GrSdWvTM2vkExrn65ZZesTR5+/efvnZ2yd/sz7W5fHZv75pSKyCuK6efHz2L2//8Phorb94/NPjs799+5+fvf1BGrXoRRf/4fN3D/n7j3/3x69+983Hf/r9V0v/vy/+5fGrf3/8+u3Xb/02uiAiLlNjMmw/4vfegIoe21abpKNl/8AbWH6QGxAfXnR9yso3APi9N9C3fNsW8aZFo/APuoMf5Amc8gO2frL3Nl0FenGiW31Pq5fZWOjt+dUSp4mTqJK807cDfn8DdC/Btcrnq+4L911aUV9boTGFJNWSR1ArEL+3FTmrh9LtMeUT75tEy+XQm81QRW496t64GYDf3wxxiFpklb5QaeY7NYN6g55ss71JJM4dfz/HmA+y/pOES/07ZKilj3/1xde/+/s//fZ3v//247/752+++sOfvvj4//zbVzzexusWutOoBCCLLrTOuvQL0eXD7gWG+hD/qFVUMbAyaz5svI2vFlOn8ZMeYza/G9j7vlz15KSBY8ri/T5snJ3frmqlxDNbgm93dvntElH3DW3XpiXhKo/6AwfX+O6kYexSVEqc3w3s9rt1peCamkT7Es0d33lE8XfrhrlN3w3wr57o/pu31LfhXOuiwuL9N6eFx7Je4WO9lgxl6TwJmY966NyxS+jIbVUfqfx5v96q1/voN794fPb1m4SWJe9l00/YN3z0Rf9Fj9Iln9j29fzFo/9CZkqfmR/rSXg27/qF00PMe7/y1/1zWmhaFpmgh/R3+Gw+G/GPH9k1Vb8W27b2dtq3/eMv+q9Kl7QW3SNytAPu4X/0j0hQUZsYxyx3Qk39kF/c3vXv735x+xd/HN+hwuBej+nHPvry7i/+s/9CTPz/r5X/cPeLT/svVHwPv/hfd4/5/4bv/Kf+70vjt27U5DGc3mMJvx2W8PVSWeubo43lu1zKjeqHv8GWHn/b40gZXTLhpAG4TYYk0bnvjqFbZthZ4uIMHr/59PHJr774j68+/+I3n/7y8fm3+KrarmHwVneNerwWKbTlsti7D17nFLw3+Qrb9XuWSyXJU6Oewwu+vZg99i2GYqwWqUqx1eJeuhXatraMc4hnpVeSyrq2c//uWRgWt9qWVmz7bq8ja7ldPnCEN581ky1pSfiWtGS9VT4bXlpZFy2v1qV7adxRSn1plRuPJwTreuhlTUt42WRdNYCUpCyeELzq3JfG2EslvvZdeE1lr+FlE+WrmBvrrXPtu1w8J1uhiEvfpS2LfI8tCIel76sVZexdDX89Yu1rs6vt2o9biy2SSdWcrRIEW5EtSYfK2Ijbdy7TbzqOtIVXR7QrteQzDgj2ndEWfaVSPBauXlAo3rlYrQP2XOMP+x5tdHHY040aA3vAYdthyzi6VdhijroGlqFTF5/L0OFxQEpMjw5XoeOjxlXoODRwDz8cSrjnHw493CMQhyruKagLnyXVsleIhk4BswAkDZwvoIDg7ALBBOci6Cs4c0GOwXkO6g0YBdB60IKAZCRYK5UkO4lp2qp02cGSlhqyJZshO2W6bvL2w5YPuzg9LeEdffvt97XX+jax2OxzM6Oiuxnpmv5utet77bQmEnXX9x7f4cskgpPut21vFM4XVQTLQGoDu0VWxVqea7S9Re+olWB6ix7/K+Y+mN7aq5J2rASYXrn5ZVlfLe8hw7uGdStitGQutGpW1vfnk1m6N3mGYeMRnaaHHoW9Buu7SBOPNPZMAevbp+92jLMK3PoKb5LXm9UH6yu8yrStceeRpR+QYIcIT+srX1r1xdfwqp82sukXPeilsm6RlDe2soeeTH6s4/iCaU0PrTWMEu6wjf7kydTJbRWxL2Z23KTt/dWVHE8Y35M07lgKrpuTjpehlUtYY7fr+d/i9IPd2tXiri1uniFYD9LYg9XaNbU8rNIIRkuurQcWxG389d2SPY/dQNxk7XqKugzvAhZrV3XBtjQAi7VrKXu1PR3AYOlU0wEfDJa0TaLvEg2WtC2fm1G4YUpaJD9KONhbB0/bs50jMEzQoW4r17g6Vp9fqUcLBUR8rGBvvgP+/nZIbNB67q+msWIe5mjV6HUc+SQD+X32CA6rehfPk5unjPthdXCCOZ14B8eg08l5cJw6nbQHx6/TyXxwXDud5AfHu9PJf3AcPJ0gCMfKY1iIZ9PjBqF4lj1uKFptm5waT3rRF72LfG9YJ6hcvtYWK6CB03m2ykgtwcBJv7ZtNcWBjnXcVIkwz0jHQFadSetxhNBQC3KLHhIUjJYW5OQebdTDLrJqZ2RS5y2EklnHULIX1TGUlAgsq2x5hFAyyTha97qHbZH0bcJj00MMQiyZ9DVnmcslxJJJd1WRIKNiLKk2spVx5gjEkvxhjyXp4hBLUmMglqTGQzBJNwvBJHUO7G9MnQn7IVPnw95I9LAgKBULsEv8uYWXqGgw0FG1MHgwoMTBRmeswOCkM1ZgMNMZKzD46YwVmCx0xgpMLjoPGCYjnSsMk5fOIYbJTucWg3Ggc47BmCQ8FxmMD52vDMbKD2kGyxZOgJ5mMJ5UXfJu7xV94EHvP4jh/y6n/b3f8vuGoO/ec0DZ3YFjlweL/dgOEPtZHRT2czr46+6Ar5/9mV0/r7O5fmRnbV0eqnV9eNbtYViXh1J94Jk9P4iD+S4bN7/XwcBC73f3e9be7EF7t9cs7ADxo91T9uezd+xPepPY/94M9nIz2J/05q4/2d1af1S7r17vsnq/m+rN9qh3W5je7Yr5gRtC/jBp1HfYFeT9Xg4XjK2X2yrcbodwt+3BT2F7g5/XNgY/ge0K/utuS/BfdRHmfy+2/LEttvwRLZ68XyR5sxjybnHj3frDu7V0H7j86wfxwnU5ne3jxdWqx9plOssQ6Pe41uFrwWMdkgvuY0qgx+qlUZmeMY1ruedlJTis1OvEm+lseMRb1ep8awc7IFWwk+53AP5Hqwo5l9pCqby/+7gcNpvB/4gll+fRRho33Y84nKZRdVAOZaBLI4ew505J+3jbx0k17pP6ueTNlDpwSWqk1yPHd5rUW6/njgfukNQwtPGqDPgjufYuo3lUrswdSTdtNaUgMEp/iVvcUkjShoK2RlnQ9nKoFoiDLLjqd5S2h0K7vjIsfm4r8bWlJD828W+NXYtWd/Q6mUtNuvot2epkKjXRh6HUhBfHUhM2BtRFajzIi3Sz+N6S+rl0RL2Q+swTL+rh4VXgWYBPwacGLgWfMXgUHBHgUHD8gD/B0QbuBMcmeBMcyeBMcNyDL8FZgtIhTqopHeIMpDqUz1YsQ+36o0VKuApNVW5JOHv7IAkDy4HuAg0Nugs0TElfu5R/yB+DIbvnw7KCyfRFR2wjX4zvu4k0+IMLXnwyy1SVKBCYffXb/wPBWCfhCmVuZHN0cmVhbQplbmRvYmoKMTIgMCBvYmoKMTIxMjEKZW5kb2JqCjEwIDAgb2JqClsgXQplbmRvYmoKMTcgMCBvYmoKPDwgL0xlbmd0aCAxNTcgL0ZpbHRlciAvRmxhdGVEZWNvZGUgPj4Kc3RyZWFtCnicPY9LEgMhCET3nKIvQJUgip5nUqlZmPtvA07iiqdof9QHClhEwVoc6g7vBS8hsYZmjg9pfWiRqIPnhp6/ksTAXiFl6zSMFrNOXOR50wU2Y4awSsyRG+5pF8d4t305cmyI3QmziKenWPqw28E6HuT0Fq27QknhvJiGjBnGdae9TpVFN8l4GkatX9dF2hq69WzTD43/9qb3F5tON0sKZW5kc3RyZWFtCmVuZG9iagoxOCAwIG9iago8PCAvVHlwZSAvWE9iamVjdCAvU3VidHlwZSAvRm9ybSAvQkJveCBbIC0xMDE2IC0zNTEgMTY2MCAxMDY4IF0KL0xlbmd0aCAyODQgL0ZpbHRlciAvRmxhdGVEZWNvZGUgPj4Kc3RyZWFtCnicPZFLbgMgDAX3nMIXiIS/wHkiVV2k9992TNKuAGP7jZ9HVEiskJ8RYfcWtiRySuiWmC7P4elSW17D9730z06SSlQPCXGmaBxJdbGpkrSw1aXpRzyIeIkfJ6MkfN4aGuWR2PqW/YA8x/eIRa9UoNLy3rI4jegBbhdZ5dTFlGqFOlJmH82acMGXCyrl1CCrJUsFwpgmD1VxX/d8DjtHHjYXI5rO/2vs+/8aut8V6t4NdM53Q6CUd/uAM8C/AY5BRMyY0PsPY3dPZjAmjhlkiStudafDYmRjtZZtJqS7tR+Bj8wY1FE9Q5w+upsd6TofQYWgmbWYOPNmKEvih8koMYRYXPesDjtW9m5ZKRLJyhxjG+XP+l7D1y8rb2U0CmVuZHN0cmVhbQplbmRvYmoKMTkgMCBvYmoKPDwgL1R5cGUgL1hPYmplY3QgL1N1YnR5cGUgL0Zvcm0gL0JCb3ggWyAtMTAxNiAtMzUxIDE2NjAgMTA2OCBdCi9MZW5ndGggMTc4IC9GaWx0ZXIgL0ZsYXRlRGVjb2RlID4+CnN0cmVhbQp4nEVQSYoDMQy8+xX1gYC12+8JhBx6/n+dUrchB0NZUi3SUN94ieBvSAUmRB0q2IkwvEdObEGwzpcJtcmq6EJ44Roq+yCJxa418oSUkaIQE7SwzGreDqyA0qMUmo5cLFvUEXFSH2RxNwl29bCbNtXp8mj5ZihzhNClSOvg/L9HLD8iSeeDxO/s14hNBWf+ZBaGl3ZsvZJe3Ck3YbbuqzDbnHjpfHb9wXO1a3zH5x9JiDzOCmVuZHN0cmVhbQplbmRvYmoKMTUgMCBvYmoKPDwgL1R5cGUgL0ZvbnQgL0Jhc2VGb250IC9HQ1dYRFYrRGVqYVZ1U2Fucy1PYmxpcXVlIC9GaXJzdENoYXIgMAovTGFzdENoYXIgMjU1IC9Gb250RGVzY3JpcHRvciAxNCAwIFIgL1N1YnR5cGUgL1R5cGUzCi9OYW1lIC9HQ1dYRFYrRGVqYVZ1U2Fucy1PYmxpcXVlIC9Gb250QkJveCBbIC0xMDE2IC0zNTEgMTY2MCAxMDY4IF0KL0ZvbnRNYXRyaXggWyAwLjAwMSAwIDAgMC4wMDEgMCAwIF0gL0NoYXJQcm9jcyAxNiAwIFIKL0VuY29kaW5nIDw8IC9UeXBlIC9FbmNvZGluZyAvRGlmZmVyZW5jZXMgWyAxMDYgL2ogXSA+PiAvV2lkdGhzIDEzIDAgUiA+PgplbmRvYmoKMTQgMCBvYmoKPDwgL1R5cGUgL0ZvbnREZXNjcmlwdG9yIC9Gb250TmFtZSAvR0NXWERWK0RlamFWdVNhbnMtT2JsaXF1ZSAvRmxhZ3MgOTYKL0ZvbnRCQm94IFsgLTEwMTYgLTM1MSAxNjYwIDEwNjggXSAvQXNjZW50IDkyOSAvRGVzY2VudCAtMjM2IC9DYXBIZWlnaHQgMAovWEhlaWdodCAwIC9JdGFsaWNBbmdsZSAwIC9TdGVtViAwIC9NYXhXaWR0aCAxMzUwID4+CmVuZG9iagoxMyAwIG9iagpbIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwCjYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgMzE4IDQwMSA0NjAgODM4IDYzNgo5NTAgNzgwIDI3NSAzOTAgMzkwIDUwMCA4MzggMzE4IDM2MSAzMTggMzM3IDYzNiA2MzYgNjM2IDYzNiA2MzYgNjM2IDYzNiA2MzYKNjM2IDYzNiAzMzcgMzM3IDgzOCA4MzggODM4IDUzMSAxMDAwIDY4NCA2ODYgNjk4IDc3MCA2MzIgNTc1IDc3NSA3NTIgMjk1CjI5NSA2NTYgNTU3IDg2MyA3NDggNzg3IDYwMyA3ODcgNjk1IDYzNSA2MTEgNzMyIDY4NCA5ODkgNjg1IDYxMSA2ODUgMzkwIDMzNwozOTAgODM4IDUwMCA1MDAgNjEzIDYzNSA1NTAgNjM1IDYxNSAzNTIgNjM1IDYzNCAyNzggMjc4IDU3OSAyNzggOTc0IDYzNCA2MTIKNjM1IDYzNSA0MTEgNTIxIDM5MiA2MzQgNTkyIDgxOCA1OTIgNTkyIDUyNSA2MzYgMzM3IDYzNiA4MzggNjAwIDYzNiA2MDAgMzE4CjM1MiA1MTggMTAwMCA1MDAgNTAwIDUwMCAxMzUwIDYzNSA0MDAgMTA3MCA2MDAgNjg1IDYwMCA2MDAgMzE4IDMxOCA1MTggNTE4CjU5MCA1MDAgMTAwMCA1MDAgMTAwMCA1MjEgNDAwIDEwMjggNjAwIDUyNSA2MTEgMzE4IDQwMSA2MzYgNjM2IDYzNiA2MzYgMzM3CjUwMCA1MDAgMTAwMCA0NzEgNjE3IDgzOCAzNjEgMTAwMCA1MDAgNTAwIDgzOCA0MDEgNDAxIDUwMCA2MzYgNjM2IDMxOCA1MDAKNDAxIDQ3MSA2MTcgOTY5IDk2OSA5NjkgNTMxIDY4NCA2ODQgNjg0IDY4NCA2ODQgNjg0IDk3NCA2OTggNjMyIDYzMiA2MzIgNjMyCjI5NSAyOTUgMjk1IDI5NSA3NzUgNzQ4IDc4NyA3ODcgNzg3IDc4NyA3ODcgODM4IDc4NyA3MzIgNzMyIDczMiA3MzIgNjExIDYwOAo2MzAgNjEzIDYxMyA2MTMgNjEzIDYxMyA2MTMgOTk1IDU1MCA2MTUgNjE1IDYxNSA2MTUgMjc4IDI3OCAyNzggMjc4IDYxMiA2MzQKNjEyIDYxMiA2MTIgNjEyIDYxMiA4MzggNjEyIDYzNCA2MzQgNjM0IDYzNCA1OTIgNjM1IDU5MiBdCmVuZG9iagoxNiAwIG9iago8PCAvaiAxNyAwIFIgPj4KZW5kb2JqCjI0IDAgb2JqCjw8IC9MZW5ndGggMTUwIC9GaWx0ZXIgL0ZsYXRlRGVjb2RlID4+CnN0cmVhbQp4nD1POQ7DMAzb/Qp+IIB1WLbekyLokP5/reigHQQRoHjIsqNjBQ4xgUnHHImXtB/8NI1ALIOaI3pCxTAscDZJgYdBVklXPlucTCG1BV5I+NYUPBtNZIKex4gduJPJ6APvUluxdegB7RBVJF2zDGOxrbpwPWEENcV6Feb1MGOJkkefVUvrAQUT+NL5f+5u73Z9AWDFMF0KZW5kc3RyZWFtCmVuZG9iagoyNSAwIG9iago8PCAvTGVuZ3RoIDE1MSAvRmlsdGVyIC9GbGF0ZURlY29kZSA+PgpzdHJlYW0KeJw1j8sNwzAMQ++aggsE0M+yPE+KoId0/2slpwUMmDDJJ9kWg5GMQ0xg7Jhj4SVUT60+JCO3ukk5EKlQNwRPaEwMM5ykS+CV6b5lPLd4Oa3UBZ2QyN1ZbTREGc08hqOn7BVO+i9zk6iVGWUOyKxT3U7IyoIVmBfUct/PuK1yoRMetivDojvFiHKbGWn4/e+kN11f3Hgw1QplbmRzdHJlYW0KZW5kb2JqCjIyIDAgb2JqCjw8IC9UeXBlIC9Gb250IC9CYXNlRm9udCAvQk1RUURWK0RlamFWdVNhbnMgL0ZpcnN0Q2hhciAwIC9MYXN0Q2hhciAyNTUKL0ZvbnREZXNjcmlwdG9yIDIxIDAgUiAvU3VidHlwZSAvVHlwZTMgL05hbWUgL0JNUVFEVitEZWphVnVTYW5zCi9Gb250QkJveCBbIC0xMDIxIC00NjMgMTc5NCAxMjMzIF0gL0ZvbnRNYXRyaXggWyAwLjAwMSAwIDAgMC4wMDEgMCAwIF0KL0NoYXJQcm9jcyAyMyAwIFIKL0VuY29kaW5nIDw8IC9UeXBlIC9FbmNvZGluZyAvRGlmZmVyZW5jZXMgWyA0MCAvcGFyZW5sZWZ0IC9wYXJlbnJpZ2h0IF0gPj4KL1dpZHRocyAyMCAwIFIgPj4KZW5kb2JqCjIxIDAgb2JqCjw8IC9UeXBlIC9Gb250RGVzY3JpcHRvciAvRm9udE5hbWUgL0JNUVFEVitEZWphVnVTYW5zIC9GbGFncyAzMgovRm9udEJCb3ggWyAtMTAyMSAtNDYzIDE3OTQgMTIzMyBdIC9Bc2NlbnQgOTI5IC9EZXNjZW50IC0yMzYgL0NhcEhlaWdodCAwCi9YSGVpZ2h0IDAgL0l0YWxpY0FuZ2xlIDAgL1N0ZW1WIDAgL01heFdpZHRoIDEzNDIgPj4KZW5kb2JqCjIwIDAgb2JqClsgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAKNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCAzMTggNDAxIDQ2MCA4MzggNjM2Cjk1MCA3ODAgMjc1IDM5MCAzOTAgNTAwIDgzOCAzMTggMzYxIDMxOCAzMzcgNjM2IDYzNiA2MzYgNjM2IDYzNiA2MzYgNjM2IDYzNgo2MzYgNjM2IDMzNyAzMzcgODM4IDgzOCA4MzggNTMxIDEwMDAgNjg0IDY4NiA2OTggNzcwIDYzMiA1NzUgNzc1IDc1MiAyOTUKMjk1IDY1NiA1NTcgODYzIDc0OCA3ODcgNjAzIDc4NyA2OTUgNjM1IDYxMSA3MzIgNjg0IDk4OSA2ODUgNjExIDY4NSAzOTAgMzM3CjM5MCA4MzggNTAwIDUwMCA2MTMgNjM1IDU1MCA2MzUgNjE1IDM1MiA2MzUgNjM0IDI3OCAyNzggNTc5IDI3OCA5NzQgNjM0IDYxMgo2MzUgNjM1IDQxMSA1MjEgMzkyIDYzNCA1OTIgODE4IDU5MiA1OTIgNTI1IDYzNiAzMzcgNjM2IDgzOCA2MDAgNjM2IDYwMCAzMTgKMzUyIDUxOCAxMDAwIDUwMCA1MDAgNTAwIDEzNDIgNjM1IDQwMCAxMDcwIDYwMCA2ODUgNjAwIDYwMCAzMTggMzE4IDUxOCA1MTgKNTkwIDUwMCAxMDAwIDUwMCAxMDAwIDUyMSA0MDAgMTAyMyA2MDAgNTI1IDYxMSAzMTggNDAxIDYzNiA2MzYgNjM2IDYzNiAzMzcKNTAwIDUwMCAxMDAwIDQ3MSA2MTIgODM4IDM2MSAxMDAwIDUwMCA1MDAgODM4IDQwMSA0MDEgNTAwIDYzNiA2MzYgMzE4IDUwMAo0MDEgNDcxIDYxMiA5NjkgOTY5IDk2OSA1MzEgNjg0IDY4NCA2ODQgNjg0IDY4NCA2ODQgOTc0IDY5OCA2MzIgNjMyIDYzMiA2MzIKMjk1IDI5NSAyOTUgMjk1IDc3NSA3NDggNzg3IDc4NyA3ODcgNzg3IDc4NyA4MzggNzg3IDczMiA3MzIgNzMyIDczMiA2MTEgNjA1CjYzMCA2MTMgNjEzIDYxMyA2MTMgNjEzIDYxMyA5ODIgNTUwIDYxNSA2MTUgNjE1IDYxNSAyNzggMjc4IDI3OCAyNzggNjEyIDYzNAo2MTIgNjEyIDYxMiA2MTIgNjEyIDgzOCA2MTIgNjM0IDYzNCA2MzQgNjM0IDU5MiA2MzUgNTkyIF0KZW5kb2JqCjIzIDAgb2JqCjw8IC9wYXJlbmxlZnQgMjQgMCBSIC9wYXJlbnJpZ2h0IDI1IDAgUiA+PgplbmRvYmoKMzAgMCBvYmoKPDwgL0xlbmd0aCAxOCAvRmlsdGVyIC9GbGF0ZURlY29kZSA+PgpzdHJlYW0KeJwzMrdQMIDDFEOuNAAeOgNXCmVuZHN0cmVhbQplbmRvYmoKMzEgMCBvYmoKPDwgL0xlbmd0aCAxMTYgL0ZpbHRlciAvRmxhdGVEZWNvZGUgPj4Kc3RyZWFtCnicVY4xDsMwDAN3vYIfMCBasa28x0HRof3/WrpJhkyiBN/RdSQcGSjcCOYOuuOgKTm+dh0+xke6Z4kuqKL0BnbtmZjG1uWjg9EUaoocZ8O0f5fHEjhRdoHUK51ZN4nGEoSUTf8JYQuPVTntan7b6wdZoCJMCmVuZHN0cmVhbQplbmRvYmoKMzIgMCBvYmoKPDwgL0xlbmd0aCAyNzUgL0ZpbHRlciAvRmxhdGVEZWNvZGUgPj4Kc3RyZWFtCnicNVFLbgUxCNvPKXyBSvxJzvOqp256/21N0ifNCBKwMU5mQRCGL1WkLLRufOvDG0/H7yThzRK/RC1kNl7PYi4bSlQFY/DcU9DeaHaa+eGyzhNfj+u98WhGhXehdrISEkRvylgo0gc7ijkrVcjNyqK6CsQ2pBkrKRS25GgOzpo4iqeyYEUMcSbKLqO+fdgSm/S+kURRpcsIawXXtT4mjOCJr8fkZpr8nbsaVfGeLGo6ppnO8P+5P4/6x7XJzPP4otxIe/DrkAq4qjlXFg47Ycw5icea6lhz28eaIQiehnDiHTdZUPl0ZFxMrsEMSVnhcEbdIYwc7n5vaEsZn41PlucJlJbn2ZO2tuCzyqz1/gOaQ2YtCmVuZHN0cmVhbQplbmRvYmoKMzMgMCBvYmoKPDwgL0xlbmd0aCAxMTYgL0ZpbHRlciAvRmxhdGVEZWNvZGUgPj4Kc3RyZWFtCnicNU45DgNBDOr9Cp7g2+P3bBRtMfl/G+8oaQzCgIhIMIR7rpWhpPESeijjQ7picB+MPCwN4Qy1UcasLPBuXCRZ8GqIJTz9lHr48xkW1pOWWNOjJxX9tCyk2ni0HBkBY0augkmeMRf9Z+3fqk03vb9y0iLQCmVuZHN0cmVhbQplbmRvYmoKMzQgMCBvYmoKPDwgL0xlbmd0aCAyNjkgL0ZpbHRlciAvRmxhdGVEZWNvZGUgPj4Kc3RyZWFtCnicNVHLbcUwDLt7Co5g/e15XlH0kO5/LaWgQBwq0Y+kIxIbevmKbSi5+JLV4XH8TrDxLNsDrFOBGVz6ScFnheGyUSHquAfCiZ/VH3IKkgZVHuHJYEYvJ+iBucGKWD2re4zdHj1c4ecMhiozE3Gu3Ys4xHIu393jF2kOk0J6QutF7rF4/2wSJWWpRO7T3IJiDwlbIbxe3LOHAVc9LSrqolsoXUgvc2SRRHGgioxX2kXEJlITOQclaboTxyDnqqQFvSI4cVCbfEdOO/wmnEY5PXeLIcLMrrGjTXKlaD9j0h2xFs7tgbZTxyQ1ms9a3bSetXIupXVGaFdrkKToTT2hfb2f/3t+1s/6/gPtTWFKCmVuZHN0cmVhbQplbmRvYmoKMzUgMCBvYmoKPDwgL0xlbmd0aCAyNDkgL0ZpbHRlciAvRmxhdGVEZWNvZGUgPj4Kc3RyZWFtCnicRVFJbsQwDLv7FfxAAWu1/Z4pBj1M/38tmQToIRFjSyTFVDUm0vFlhrLGmo1vGzyxvfE7LBJ2Cp9hOWGlp2HstG04iddwjiyDR6MnnJDlNcJCIPJgNWId2Nw8T77FlR7k8Kt6lG6EdkEd4YnYHK8QVzm/+FghzqLIvCrF6fQ6oaM4dHeCWrox9TTdazZvzXA5qIWIrZX8XvgzkuT/qN11S9oH1UbGJPJpSG2ZjVwFp5yqLNaFZD5pOoudpiCSKUX3FW88MXtqLSFb7KeSUSmLWV1JMDujS3LoxyhT1TtrIaMCZ4wzIuKqzDfFsvD8u9f4Ge8/0LZZaAplbmRzdHJlYW0KZW5kb2JqCjM2IDAgb2JqCjw8IC9MZW5ndGggMzQyIC9GaWx0ZXIgL0ZsYXRlRGVjb2RlID4+CnN0cmVhbQp4nEWSS4okMQxE93kKXaDB+tvnqaGZRc39t/3kgh7IRLI+ESHZ3VuWpMuXqrSmtG35o0+oiW2Vf9fzSnk/k/7v6Vp4VUfK+FQ8JFtFS15Pcv4yCc4DHHqufT0e+3q2Q1zMWtwJ68C4qBW4JaeBmXg1NVffNGA8Y+BdwkLIxj5TnXEGhfZah94tRaGZS+1psG6moz3WnXCGGvt6Ap7xUskgM5PMGu48MGwQB5WqyoXGjyoy1NQxyQrqk/6Zu0AIoixmgTm4h1yisMHuYUyw8pBBS2le5vpo2XhEgyVV9FU5lrXVJ+Kut8LOrH0yxhKKySzQcurOnJ2TQWGyKd1w+RKFPVfcbcPBr6mXY6xzJoNnoCh3ajG9bHGti0aUOcw315TcB/0Xzc1ks9oqae5FYwzD5HWCLfKOksWd0ZsNH3prYW2mgOXOON48uffv43s/f5/vH3Qmfb0KZW5kc3RyZWFtCmVuZG9iagozNyAwIG9iago8PCAvTGVuZ3RoIDc3IC9GaWx0ZXIgL0ZsYXRlRGVjb2RlID4+CnN0cmVhbQp4nDM3MlIwULAwABJmJkYK5oZmCimGXGB+LogCCeRwGZqbIrFMgHpyuExNzJFYEFmYERCWAVQORhsbm0NNQLBAcmDbcrgyuNIAgYcbSgplbmRzdHJlYW0KZW5kb2JqCjM4IDAgb2JqCjw8IC9MZW5ndGggMjgxIC9GaWx0ZXIgL0ZsYXRlRGVjb2RlID4+CnN0cmVhbQp4nD2Ru3EDMQxE86sCJYD4kvXI41Fw7j/1Lk6jQMIeF59HsM1EpQ//9Eivkp91zfcfAw/uy099VJSOSt1TkLGk4L6u7JDaLqU4QVYZom04hZxETiUiHUa4cKCijpSHhNXU+jF2qy2eLbla3FMijrhxTmCOL+QfF1cDSYkdZQ26WMXMMHfJnbJOwiGpgj6RxxigWejI+2zkgCJSzEjRYtGcgxprBY+L7RLHNmy6eSUmgyLhLvy8hgiOwcF2XEG9Nup84uta/ah7FBn6QXrPQSj37d2jgGU6KhJIGBW9JZbzkrhy4NG4wMBgXjpyHiAKeThJ9Ds98VnzKHTKUCwFtYurJnAcPhLq0vAIz3TGB5jq/vKR9fcfFT1pOwplbmRzdHJlYW0KZW5kb2JqCjM5IDAgb2JqCjw8IC9MZW5ndGggNzIgL0ZpbHRlciAvRmxhdGVEZWNvZGUgPj4Kc3RyZWFtCnicMzK3UDBQMLNQ0DW0tFAwMjNSMDc0U0gx5IIJ5YJYILEcLpgshGVmYgxkGZqaIbF0DY1ModIoTKA5OXATc7gyuNIAaBsXPAplbmRzdHJlYW0KZW5kb2JqCjQwIDAgb2JqCjw8IC9MZW5ndGggNzEgL0ZpbHRlciAvRmxhdGVEZWNvZGUgPj4Kc3RyZWFtCnicMzK3UDBQMLRU0DW0tFAwMjRWMDc0U0gx5AIxwWK5XDDZHAjLyBTEApJITDMTY4g0nAEyJocLZmAOwrwcrgyuNABE7RbkCmVuZHN0cmVhbQplbmRvYmoKNDEgMCBvYmoKPDwgL0xlbmd0aCAyNTkgL0ZpbHRlciAvRmxhdGVEZWNvZGUgPj4Kc3RyZWFtCnicNVDJbQQxDPu7CjYQQKePeiZY5LHp/xtK3mA8EGFLpMjMCYEvfKkiNZEu+NYRptC58DtSDcqu94izoGKIJZiKcAPPM/w4+EU0ie1bn2GyG2lwjiTiyM37PMRRorpa2zKLZpHDwNdQ6Y7odo2NlAmT1dvZOl05US9EIdkdEZzl/MNVnSzWjjxmV5s10yiDNwHjYl0pTR1bjd5DyalUUU6q81/JfWZbCiyuEp1AWZ3l1HUWqAjmgTO3Xd2+zw1MKgDu9gn1GT/UYHpyGHDYRQxYNzy9+31zc84XJlPlHVSwm4pt+aRjfu4NMwjq69p03n6S4R46cTLR8b9iqb/+AMbaXZ4KZW5kc3RyZWFtCmVuZG9iago0MiAwIG9iago8PCAvTGVuZ3RoIDM1OCAvRmlsdGVyIC9GbGF0ZURlY29kZSA+PgpzdHJlYW0KeJw9kjuOHjEMg/s5hS4wgKmX7fP8QZAiuX+7pL2bSoRtjchPU9U2LNxeH9tybasY9gtPDXvT7d+DKHur7C/VtnfBkKwYw9C8Atw+D9ak9GWOpohpXnnF5/H9LcP7vopcP50xOWm3xeLdDAs9ztTN5iN2pEbhlF46b5i7BYLW/QSQgWSFb57YHjY1uGhW09ywT0rvM1LN/CAsalptztw8ZkvyDCMsaUSGk8b47QkrKBsOHldXaGrwVCporEbR47Is9UgVNrEdqP8V015BguTN7M2EnZco+w6ZSEtGfNHjgsE647QV0GyMeTfm3MwRdLnjSmToVTGJ9tMi0VpPaMOELa9nu5/nzwMPYtnatNQggGiD0DUh+IFLeov5PW3qdanQzjgiYuk2GATYZ3Fs5IikS7lV9b5U9BMIONvIO1rMTk9c+iH6xVl9K/8eTpXC5spoGoSVOLZoNCZvXCZgP1EU6/cXTRSHOgplbmRzdHJlYW0KZW5kb2JqCjQzIDAgb2JqCjw8IC9MZW5ndGggMTg1IC9GaWx0ZXIgL0ZsYXRlRGVjb2RlID4+CnN0cmVhbQp4nE1QMZIDMQjr/QqeYBB44T3JZK7I/b+NIJNMirUEMrLYiCNbTh+elwS23HVN/d8QWvJc6vHDnB9ZQmKrGHLGoHvwtuD67lzsmAuqfUDFzThjdLB5zoNup1o5yUrFL3atqPLG9lYyBJlzH1Fv1Jkh20yCqi9C48PohuIsHZE1nNnal1k6m1s7QpwbUEFvluPg4WJlg7dlPKdjOsm1WGvP6KEDK6UKr0HL3rRZZ5o/+Vx/6/ECJlhELQplbmRzdHJlYW0KZW5kb2JqCjQ0IDAgb2JqCjw8IC9MZW5ndGggMTQ1IC9GaWx0ZXIgL0ZsYXRlRGVjb2RlID4+CnN0cmVhbQp4nE2PuxEDMAhDe0/BCCDAn3mSy6Vw9m8j7BQpbMnWPXG4u6j05OUxJF3lae28PyVpS3aziD8XoeU63ehiE5KqAp40yKPBWIQQeD+FyKtM5nVuVPxGajH1E6heLPY6BMOpizSOkvbrYEn1MzFQtE0ypmJknLz1IT6ikqQLiCUTnUcx7CS1+b677vZury8m4TIBCmVuZHN0cmVhbQplbmRvYmoKNDUgMCBvYmoKPDwgL0xlbmd0aCAyMTAgL0ZpbHRlciAvRmxhdGVEZWNvZGUgPj4Kc3RyZWFtCnicNZDLjQMxDEPvrkINGBDlr+pJEOwh2/81pJ2cxDHHT6SHu7lhWg1P6wkbSHuizLCKTPsvQ4p/vMsCVcD21uwGb1c8CiK+Z21JkNlT9445ddGXYbnV3Jwk7CVrd6v8QhI1poUPRgGdcIF0Qk5aoDGoWCfhuwD4qoDsLdWaYbtFH9zPSSLXETYnk22LdZdHBq9MOp0dLuZXnphkqMNbbDX74VS1FZjthpChfoMm1G5xY0rsVEo9VXgwxbpPC5KPoOm4cofmsN9bP8pfeX0Aa5RKkgplbmRzdHJlYW0KZW5kb2JqCjQ2IDAgb2JqCjw8IC9MZW5ndGggMTExIC9GaWx0ZXIgL0ZsYXRlRGVjb2RlID4+CnN0cmVhbQp4nE2OMQ4EMQgDe17hJwRCQvKePZ224P7fnsk2W4AHIVseraHBanlsDN34qJz7VxKKlD745ZDU4L5gsagBqw/1kr4PZEGlpPjsL/JZfl0G7ZWptp5wnYFwVnDEhNFOuaTaEPJAWU+nlFu+f+18IjgKZW5kc3RyZWFtCmVuZG9iago0NyAwIG9iago8PCAvVHlwZSAvWE9iamVjdCAvU3VidHlwZSAvRm9ybSAvQkJveCBbIC02NjUgLTMyNSAyMDAwIDEwNDAgXSAvTGVuZ3RoIDM3Ci9GaWx0ZXIgL0ZsYXRlRGVjb2RlID4+CnN0cmVhbQp4nOMyNbJQMDY0UsjlMjUDM3LADEsTEAMkh2CBJTO40gACvwonCmVuZHN0cmVhbQplbmRvYmoKMjggMCBvYmoKPDwgL1R5cGUgL0ZvbnQgL0Jhc2VGb250IC9DRkVLRU8rQXJpYWxNVCAvRmlyc3RDaGFyIDAgL0xhc3RDaGFyIDI1NQovRm9udERlc2NyaXB0b3IgMjcgMCBSIC9TdWJ0eXBlIC9UeXBlMyAvTmFtZSAvQ0ZFS0VPK0FyaWFsTVQKL0ZvbnRCQm94IFsgLTY2NSAtMzI1IDIwMDAgMTA0MCBdIC9Gb250TWF0cml4IFsgMC4wMDEgMCAwIDAuMDAxIDAgMCBdCi9DaGFyUHJvY3MgMjkgMCBSCi9FbmNvZGluZyA8PCAvVHlwZSAvRW5jb2RpbmcKL0RpZmZlcmVuY2VzIFsgMzIgL3VuaTAwMDAwMDAzIDQ0IC91bmkwMDAwMDAwZiA0OCAvdW5pMDAwMDAwMTMgL3VuaTAwMDAwMDE0Ci91bmkwMDAwMDAxNSA1MyAvdW5pMDAwMDAwMTggNzEgL3VuaTAwMDAwMDJhIC91bmkwMDAwMDAyYiA4MiAvdW5pMDAwMDAwMzUKOTEgL3VuaTAwMDAwMDNlIDkzIC91bmkwMDAwMDA0MCAxMDEgL3VuaTAwMDAwMDQ4IDEwMyAvdW5pMDAwMDAwNGEgMTEwCi91bmkwMDAwMDA1MSAxMTQgL3VuaTAwMDAwMDU1IDEyMSAvdW5pMDAwMDAwNWMgL3VuaTAwMDAwMDVkIF0KPj4KL1dpZHRocyAyNiAwIFIgPj4KZW5kb2JqCjI3IDAgb2JqCjw8IC9UeXBlIC9Gb250RGVzY3JpcHRvciAvRm9udE5hbWUgL0NGRUtFTytBcmlhbE1UIC9GbGFncyAzMgovRm9udEJCb3ggWyAtNjY1IC0zMjUgMjAwMCAxMDQwIF0gL0F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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fluxonium = scq.Fluxonium(\n", + " EJ=5.7,\n", + " EC=1.2,\n", + " EL=1.0,\n", + " cutoff = 150,\n", + " flux = 0.5\n", + ")\n", + "fig, axes=fluxonium.plot_wavefunction(esys=None, which=[0,1,2,3,4,5], mode='real');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Matrix elements" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": { + "ExecuteTime": { + "end_time": "2020-02-13T22:55:23.804641Z", + "start_time": "2020-02-13T22:55:22.664581Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[-1.49373344e-15 2.42020774e+00 4.92726990e-16 5.96669304e-01\n", + " 1.36318764e-16 1.26034410e-02 6.25555255e-16 1.05152531e-02\n", + " 1.12507232e-15 2.08796925e-03]\n", + " [ 2.42020774e+00 1.66139352e-15 -1.16100233e+00 6.94759709e-16\n", + " 1.98939356e-01 -6.08035842e-16 -1.96392027e-02 7.56341710e-16\n", + " 1.88229452e-03 -4.51772004e-16]\n", + " [ 4.92726990e-16 -1.16100233e+00 -1.66099737e-15 -2.02810531e+00\n", + " 5.10615292e-16 -2.87499531e-01 -6.04467468e-16 -3.19256763e-02\n", + " -9.27051188e-16 -1.96457721e-04]\n", + " [ 5.96669304e-01 6.94759709e-16 -2.02810531e+00 1.07053221e-15\n", + " 2.11221368e+00 3.27736001e-16 1.78076985e-01 -9.42110346e-16\n", + " 4.52028150e-02 4.54744967e-15]\n", + " [ 1.36318764e-16 1.98939356e-01 5.10615292e-16 2.11221368e+00\n", + " -1.42635404e-15 2.41344721e+00 1.35697041e-16 -1.41490331e-01\n", + " -6.87367659e-19 -5.74957935e-02]\n", + " [ 1.26034410e-02 -6.08035842e-16 -2.87499531e-01 3.27736001e-16\n", + " 2.41344721e+00 1.52823530e-15 2.65902027e+00 -7.28618979e-16\n", + " -7.06894388e-02 -2.19419771e-15]\n", + " [ 6.25555255e-16 -1.96392027e-02 -6.04467468e-16 1.78076985e-01\n", + " 1.35697041e-16 2.65902027e+00 -2.16366627e-16 -2.95543793e+00\n", + " -1.49008769e-15 -2.89606649e-02]\n", + " [ 1.05152531e-02 7.56341710e-16 -3.19256763e-02 -9.42110346e-16\n", + " -1.41490331e-01 -7.28618979e-16 -2.95543793e+00 -7.98841434e-16\n", + " 3.32236039e+00 2.52313491e-15]\n", + " [ 1.12507232e-15 1.88229452e-03 -9.27051188e-16 4.52028150e-02\n", + " -6.87367659e-19 -7.06894388e-02 -1.49008769e-15 3.32236039e+00\n", + " 6.72108730e-15 -3.82811850e+00]\n", + " [ 2.08796925e-03 -4.51772004e-16 -1.96457721e-04 4.54744967e-15\n", + " -5.74957935e-02 -2.19419771e-15 -2.89606649e-02 2.52313491e-15\n", + " -3.82811850e+00 2.10525079e-15]]\n" + ] + } + ], + "source": [ + "phimat = fluxonium.matrixelement_table('phi_operator', evals_count=10)\n", + "print(phimat)" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": { + "ExecuteTime": { + "end_time": "2020-02-13T22:55:27.409939Z", + "start_time": "2020-02-13T22:55:25.414225Z" + } + }, + "outputs": [ + { + "data": { + "application/pdf": 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