From 2471f029b0f94839ad1327f1d88985bc4bd9c9c3 Mon Sep 17 00:00:00 2001
From: shemian29 <ims.vault.alpha@gmail.com>
Date: Thu, 3 Nov 2022 16:54:45 -0500
Subject: [PATCH] Simplify code in Main notebook, no change in calculations

---
 Notebooks/Main.ipynb | 590 +++++++++++++++++++++++++++++++++++++++----
 1 file changed, 538 insertions(+), 52 deletions(-)

diff --git a/Notebooks/Main.ipynb b/Notebooks/Main.ipynb
index 866e8e7..3eae483 100644
--- a/Notebooks/Main.ipynb
+++ b/Notebooks/Main.ipynb
@@ -10,9 +10,13 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 1,
+   "execution_count": 5,
    "id": "be525609-57a7-4921-b56c-a80cef880c2e",
-   "metadata": {},
+   "metadata": {
+    "pycharm": {
+     "is_executing": true
+    }
+   },
    "outputs": [],
    "source": [
     "import JJArray as jja\n",
@@ -33,18 +37,19 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 24,
+   "execution_count": 72,
    "id": "ae19ed05-a2e5-4484-8163-105907146e4f",
    "metadata": {},
    "outputs": [],
    "source": [
-    "N = 3\n",
-    "Ncut = 2\n",
+    "N = 4\n",
+    "MuliCharge_ncut = 3*N\n",
+    "Ncut = int(MuliCharge_ncut/N)\n",
     "\n",
-    "EC = np.full((N), 0.1)\n",
+    "EC = np.array([0.1,1,1,0.1])#np.full((N), 2.5)\n",
     "EJ = np.full((N), 0.1)\n",
     "EJb = 10\n",
-    "ECb = 0.5\n",
+    "ECb = 2.5\n",
     "phi = 0.\n",
     "\n",
     "H = jja.H_array(phi, N , Ncut, EJ, EC, EJb, ECb)"
@@ -68,7 +73,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 25,
+   "execution_count": 73,
    "id": "a16885e3-804a-4a41-9cec-98b28a708d08",
    "metadata": {},
    "outputs": [
@@ -76,18 +81,18 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Full Hilbert space dimension =  125\n"
+      "Full Hilbert space dimension =  2401\n"
      ]
     },
     {
      "data": {
       "application/vnd.jupyter.widget-view+json": {
-       "model_id": "845dbfb8d41d462bbfae143dd4c453a3",
+       "model_id": "a8e7a6f7e3f24e62ac872a9f093c07d0",
        "version_major": 2,
        "version_minor": 0
       },
       "text/plain": [
-       "  0%|          | 0/3 [00:00<?, ?it/s]"
+       "  0%|          | 0/4 [00:00<?, ?it/s]"
       ]
      },
      "metadata": {},
@@ -96,12 +101,12 @@
     {
      "data": {
       "application/vnd.jupyter.widget-view+json": {
-       "model_id": "dc68b6c4c714437db01b26855c64ec04",
+       "model_id": "17a8eb092e1043af91bc4219decc05ea",
        "version_major": 2,
        "version_minor": 0
       },
       "text/plain": [
-       "  0%|          | 0/45 [00:00<?, ?it/s]"
+       "  0%|          | 0/616 [00:00<?, ?it/s]"
       ]
      },
      "metadata": {},
@@ -111,18 +116,18 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Sector 0= 45\n"
+      "Sector 0= 616\n"
      ]
     },
     {
      "data": {
       "application/vnd.jupyter.widget-view+json": {
-       "model_id": "57ea8173f40f47fe95bc794957f97336",
+       "model_id": "f89ccc96a7044115beeea17d06a5e0b9",
        "version_major": 2,
        "version_minor": 0
       },
       "text/plain": [
-       "  0%|          | 0/45 [00:00<?, ?it/s]"
+       "  0%|          | 0/616 [00:00<?, ?it/s]"
       ]
      },
      "metadata": {},
@@ -132,18 +137,18 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Sector 1= 40\n"
+      "Sector 1= 588\n"
      ]
     },
     {
      "data": {
       "application/vnd.jupyter.widget-view+json": {
-       "model_id": "0547c2be48324b52a2ffc319f6dc1422",
+       "model_id": "d2d01ebcb3ba4b95810b65e457674d46",
        "version_major": 2,
        "version_minor": 0
       },
       "text/plain": [
-       "  0%|          | 0/45 [00:00<?, ?it/s]"
+       "  0%|          | 0/616 [00:00<?, ?it/s]"
       ]
      },
      "metadata": {},
@@ -153,10 +158,31 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Sector 2= 40\n",
-      "Sum of sector dimensions =  125\n",
-      "CPU times: user 114 ms, sys: 20.7 ms, total: 134 ms\n",
-      "Wall time: 121 ms\n"
+      "Sector 2= 609\n"
+     ]
+    },
+    {
+     "data": {
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "c8674200e98646599a6d1a462e19649c",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "  0%|          | 0/616 [00:00<?, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Sector 3= 588\n",
+      "Sum of sector dimensions =  2401\n",
+      "CPU times: user 196 ms, sys: 24 ms, total: 220 ms\n",
+      "Wall time: 200 ms\n"
      ]
     }
    ],
@@ -166,14 +192,16 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 40,
+   "execution_count": 74,
    "id": "bf0851e2-74f5-4b1c-92f7-82cf51709259",
-   "metadata": {},
+   "metadata": {
+    "tags": []
+   },
    "outputs": [
     {
      "data": {
       "application/vnd.jupyter.widget-view+json": {
-       "model_id": "a85a96654c0a49888f2f3314e54bbdd3",
+       "model_id": "6594741c88d14b64a854c3e0e9166172",
        "version_major": 2,
        "version_minor": 0
       },
@@ -183,6 +211,16 @@
      },
      "metadata": {},
      "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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HEbkdkxEi8k433WRtnzqlXBxE5HZMRojI+5WXKx0BEbkRkxEi8n6cgZWoXWMyQkRERIpiMkJERESKYjJCREREimIyQkRERIpiMkJERESKYjJCRJ4hCEpHQEReiskIEXmGn5/SERCRl2IyQkTus3u3tR0bq1wcROTVmIwQkfu89JK1PWWKcnEQkVdjMkJE7rN3r7U9c6ZycRCRV2MyQkTuU1ysdARE1AYwGSEi9zGZXDterZYnDiLyakxGiMh7hYZa21y5l6jdYjJCRN4rKcnaXrBAuTiIyK2YjBCR93rzTWt71Srl4iAit2IyQkTea9Agazs9XbEwiMi9mIwQUdtgNCodARG5CZMRImobRFHpCIjITZiMEBERkaKYjBAREZGimIwQERGRopiMEBERkaKYjBAREZGimIwQkfup+FZDRM3jOwQRuV9goNIREJEXYzJCRO6xfr213aOHcnEQkddjMkJE7jF/vrX9j38oFwcReT0mI0TkHsePW9v33KNcHETk9ZiMEJF7lJUpHQERtRFMRojIPcxmec7j6yvPeYjIazEZISLvptNZ23q9cnEQkdswGSEi73bttdb2rFnKxUFEbsNkhIi82+LF1vZPPykWBhG5D5MRIvJutrdpcnKUi4OI3IbJCBG1HdXVSkdARG7gVDKyZMkSJCQkwM/PD0lJSdi2bVuz+27fvh2XX345IiIi4O/vj969e2PRokVOB0xERETti4+jB6xduxbTpk3DkiVLcPnll+P999/H2LFjcfToUcTFxTXaPzAwEE888QQGDBiAwMBAbN++HY888ggCAwPx8MMPy/JDEBERUdsliKIoOnLA8OHDMWTIECxdutSyrU+fPrj11lsx33b65xbcfvvtCAwMxH//+1+79jcYDAgJCUFxcTGCg4MdCZeIlCII1rZjbzPuPRcReYy9n98O3aapqqpCamoqkpOT621PTk7Gjh077DrH/v37sWPHDlx11VXN7mM0GmEwGOp9ERERUfvkUDKi1+thMpkQHR1db3t0dDSys7NbPLZLly7QarUYOnQoHn/8cUyZMqXZfefPn4+QkBDLV2xsrCNhEhERURvi1ABWwbbLFIAoio22NbRt2zbs3bsXy5Ytw+LFi7F69epm9501axaKi4stX+np6c6ESURERG2AQwNYdTod1Gp1o16Q3NzcRr0lDSUkJAAA+vfvj5ycHMydOxd/+9vfmtxXq9VCq9U6EhoReSu1WukIiMjLOdQzotFokJSUhJSUlHrbU1JSMHLkSLvPI4oijEajI5cmoraqQwelIyAiL+dwae+MGTMwadIkDB06FCNGjMDy5cuRlpaGqVOnApBusWRkZODTTz8FALz33nuIi4tD7969AUjzjvzrX//Ck08+KeOPQUReZcECa3vQIMXCIKK2weFkZPz48cjPz8e8efOQlZWFfv36YcOGDYiPjwcAZGVlIS0tzbK/2WzGrFmzcPbsWfj4+KB79+5444038Mgjj8j3UxCRd/n4Y2v7n/9ULAwiahscnmdECZxnhKiNCQwEysulthxvMZxnhKhNcss8I0REdqmoUDoCImpDmIwQkfzk7r1gdR1Ru8ZkhIi8n+3UAcePKxcHEbkFkxEi8n7jx1vbL7ygXBxE5BZMRojI+z37rLW9fbtycRCRWzAZISLvp9NZ20VFioVBRO7BZISI2pbqaqUjICKZMRkhIiIiRTEZISIiIkUxGSEiIiJFMRkhIiIiRTEZISIiIkUxGSEiIiJFMRkhIvfx9VU6AiJqA5iMEJG89HprOzRUsTCIqO3wUToAImp7vvpkGTKPnkCnS3ri9nun1n/wrbes7Suv9J64iMhrsWeEiBzy3qPTkbszAn4VfZG7MwLvPTq9/g5ffmltv/qq98RFRF6LyQgR2e2rT5bB368H0rodwuH+GUjrdgj+fj3w1SfLrDtlZlrbvXt7T1xE5LV4m4aI7JZz8DT2XxqB72JuhSioIIhm3Nx5IwanFlh3Mhrdc3FBAESx2bj2DYvA99EtxEVEXos9I0Rkt6qIAHwXkwxRkN46REGF72PGoCrcz/0X9/dvMa7voxWKi4hcxmSEiOxW062D5QO/jllQw9wt1P0Xj4+3trdv9564iMhlTEaIyG5XD70Cgmiut00lmnDl0JHuv/j991vbL73UKK6Gt3A8FhcRuYzJCBHZLSnxMgyqPGz5XhDNeMS4BUmJl7n/4jNnWtv799d7yF/wR5hoHR/i0biIyGVMRojIbqaaGmjEGsv3AysPY87YGZ4PpLS03rfbvvoC5UKg5fvx6b8oExcROYXJCBHZbcvvPyJLG2H53uAbhLwifQtHuInJVO/bMkMFjIJ1sKohkANXidoSJiNEZLfDP29Elqqj5fs8tQ4/f/WJghFJysM71Ps+JzAYppqaZvYmIm/DZISI7FatDUC1oIG69lZNiRAM/el0haMCisKkst+6uLJ8dfgx5QslQyIiBzAZISK7FUYHAwA6mbMQLBYDACpCgpQMCQCQ3yEAANCr6hQAIEcVjTNbtrd0CBF5ESYjRGS3vHBpkGiMUY9IUz4AoDgssKVDPEIfICVE3Yuy4CdWwCT4wtghROGoiMheTEaIyG7ZgVLPSHRZMXTGIgBAfkjzM6N6Qll5KfS+oQCA8JJydDRlAwAKIju0cBQReRMmI0Rklx17NlkqaSKLyxBRXgIAyA9Qtmfkx6//hzy1DgDQWeWLaKM030iOF/TYEJF9mIwQkV32fvONpZJmYEwXhJWWAwD0mpCmK1c0Go/ElX78BEoFqRfk+jG3ILrEAIAVNURtCZMRIrJLtUaLakEDX7EK45LHI7JSmusjz0eHHTt/lXbS28w5EhXlkbgqOkg9IMFiEXrG9UZ0SRkAIEujw5YdP3okBiJyDZMRIrJLYZQ0XiTGnAN/rR+uHnmVtF0Ix4GUFGmnadOsB9x0k0fiMoRJlTR1A2qHJvYGIFXUHP5po0diICLXMBkhIrvkhlkraQBg2IDLESBKvRDlfr7STps2WQ/45z89Eld+sJSM6IxSqfGNo261VNRUBipfdkxErWMyQkR2yQmqraQplT70VSoVdGYpMSmpGyyal2c9QKfzSFz62gG0dQNq1T4+loqawihW1BC1BUxGiKhVh4/ttVbSGMos2yOrigAA+SFS7wSqq90biKrxW5ZeEwoACCuxxmWpqAllzwhRW8BkhIhatWXtGkslTf+YzpbtERW15b2BHiqjbXCd/ft2IM8nHACgM1oXz7OtqCEi78dkhIhaVSmoLZU0tyVPsGwPL5V6I/RaD33o9+5tba9ahe0/fIMiQUpGrrl0lOWhut6bLI0Of+zeBCLybkxGiKhVhdHS2Iu6Spo6YaWVAIA8nwhk5VxwfyBPP21tv/02ynylt7AAsRTDkq60PDSsR08AUkXN7u++dX9cROQSJiNE1Kq8MGnsRV0lTZ2B8dKHfr4QgR9WrXB/IPfcY22fOgVDbVyRpnyobMaT3HjV7dY1avy07o+LiFzCZISIWpXVoJKmztgxd0AjGmEW1CioqPBsUGVlKKwt642sLqz3UP2KGo4bIfJ2TEaIqEWnz59Adm0ljc6mkgYAtFqNpby3NNTDa8GYzdDXDmgNLy9t9DAraojaDiYjRNSin/670lJJ0zc8stHjdb0ShXXlvR5UN3A2vKyJZKS2F4cVNUTez6lkZMmSJUhISICfnx+SkpKwbdu2Zvf96quvMGbMGERGRiI4OBgjRozAzz//7HTARORZFWbRUklz502TGz0eUVlb3hvk2Z4RM2Ap6w01VDZ6PLK4rqImEoeOpnoyNCJykMPJyNq1azFt2jTMnj0b+/fvx6hRozB27FikpaU1uf/WrVsxZswYbNiwAampqbjmmmtw8803Y//+/S4HT0TuVxTVdCVNnYhSqVdC7+fZ2U7L/P2QL0i3j/p16d7o8aHxdRU1Udj8xWqPxkZEjnE4GVm4cCEefPBBTJkyBX369MHixYsRGxuLpUuXNrn/4sWL8eyzz+LSSy9FYmIiXn/9dSQmJuK7775zOXgicr+c8KYraeqElpQDAPQ+YRA9FhVwNrErREENjWjEuBvHN3r8xmtvs1TUlPv6ejAyInKUQ8lIVVUVUlNTkZycXG97cnIyduzYYdc5zGYzSkpKEB4e3uw+RqMRBoOh3hcRKaNuzEXDSpo6sbU9InmqSJgFwWNxnekaCwCINOfBV6Np9LivRmOpqCmK5Bo1RN7MoWREr9fDZDIhOjq63vbo6GhkZ2fbdY63334bZWVluPvuu5vdZ/78+QgJCbF8xcbGOhImEckkMzfDUkkTaWg8SBQA7r7rPqjFGlQLGmRGRUkbPZCUpHXsBADQNSjrtRXDihqiNsGpAaxCgzcaURQbbWvK6tWrMXfuXKxduxZRdW9aTZg1axaKi4stX+np6c6ESUQu+u6jZZZKmt4hTa/CG9ohHBFiPgDgfKcu0ka/xmNL5JYWVZuM1A6gbUpUidSbkx0Y4vZ4iMh5DiUjOp0OarW6US9Ibm5uo96ShtauXYsHH3wQn3/+Oa677roW99VqtQgODq73RUSeV1xVZamkufuWxpU0dSJrpB6I8x3jpA0e6M28oJOSkbr1cZqMq1jqzcnW6HDy3F9uj4mInONQMqLRaJCUlISUlJR621NSUjBy5Mhmj1u9ejXuu+8+fPbZZ7jxxhudi5SIPM4QaVNJ49f8PCK6Smlc17m6npGJE90eW1qkdK26AbRNGdylGwCpombj/1a6PSYico7Dt2lmzJiBFStWYOXKlTh27BimT5+OtLQ0TJ06FYB0i2XyZOtfUKtXr8bkyZPx9ttv47LLLkN2djays7NRXNz0YDgi8h45zaxJ01DdpGNnO9f2iMyZ49a4TCoV0iOknpFO6uaTpFuS77ZU1JSoOccjkbdy+H/n+PHjsXjxYsybNw+DBg3C1q1bsWHDBsTHxwMAsrKy6s058v7776OmpgaPP/44OnbsaPl62nb1TSLySjnNrEnTUJhB6p2wjBlxsyxdFKp9NVCLNRg/4cFm97OtqCmOYEUNkbfyceagxx57DI899liTj3388cf1vt+8ebMzlyBq26KigLw8IDISyM1VOhqn6Iv11jVpipuupKkTbjQBAM52ioUZbl5nQq3GudoeGJ2oR3jI0BZ3jzEW4KxPgqWXp01rB68roqaw35JIboIgfWAA0r8enHtDTl9//K6lkqZXUPPzAgHAzdffAUE0ozQwCPnhYe4NLDjYMjYlsrqg1d2jSqTxLG2+oqadvK6ImsJkhEhOzZWst1DK7q0KSyqslTS3Nl9JAwC9evWHrlIaV3IqId69gQ0ZgrOdantGyota3T2yWCr9zdbokJWb4c7I3Kcdva6ImsJkhEhOdX+52rvdixXrrJU0gQGt3+LoUpQFwAPJyNy5OFebjHTObf15HaCTelFyVFH4+uMlbg3NbdrR64qoKUxGiOQUGenYdi9mbyVNndjcTADA2bg4t8UEALjiCpztIiUjXc9daHX32275u6Wipthkdm9s7tKOXldETWEyQiSn5gYVtsHBhrl1lTRl9pXhd82QEoO6waXucuH8aUvVTt/9x1rdv11U1LSj1xVRU5iMEMnp6NHG20RPrmUrj7KKcmRppenfdYUtV9LU6XZOKulPi+7strgA4KsvPkGZfyAEsxlDt++16xjLGjXtoaKmTht8XRE1h8kIkZyGDFE6All88dE7yFLFAAB6+Nu3HEPiqbMAgAvhnVBWal8C44witfRvp7wcBJcb7TomqrSdVNQQtVNMRojkZLTvw9Hb5RYUWippJtx5v13H9KhNRor8QrFu1ftui60oVJpxNSEjrZU9rXSF1ooafbF9Y2C8ykMPNd42Y4bn4yByEyYjRO5WWal0BA6zraQJCrBvnEVIaTl0BdLqvemlhW6LrbBDIACga2brg1fr9NNJt45yVFFYv+Jdt8TlVitWNN62aJHn4yByEyYjRO7Wq5fSETgs18FKmjoJmekAAEOwv+wx1dH7S7F1zUi3+5g7x02yVNTkV7WP3iui9oTJCJG7pdl/O8Fb5DhYSVMnvra3oiA4UPaY6ug1oQAc6xmpV1Gja6MVNUTtGJMRIrn0729t33abcnG4qLqqCtkOVtLUSajtrci3Y5I0Z+WpdfWuZS9LRU1oO6qoIWonmIwQyeXwYWv7q6+Ui8NFX65aZqmkSfB1rIeja+1tGr3WPVUr/1v5DkoFqWcjPsv+nhEAiKpdebjNVdRs325tazSAj836psePez4eIjdgMkJE9aRnZlgqae6ZMMW+g77/HoC1tyLPJ8ItsZ0rkib5CqssQFBFuUPH1vXyZGt0KHPwWEWNHm1t//orsH699fukJM/HQ+QGTEaI3KVbN2u7qdJML2WIcLySBm++CcA6ZqRQCMevKd/KH1uwVNbbsSzH4WMvCZOmTs9RRWHNh/+WNS63qqqytq+4ArjpJuv35W0oqSJqAZMRInc5fdrabqo000s5uiYNAODgQQBAmKEIAWIZAGDPn7tlj62wLhkpcXwa9Ltvf9BSUZNbYpA7NCJyAZMRIjm8/rq1HR6uXBwycHRNGgBAmZSAqABEmqQkxhCklTs06GsHxsYY8h0+tl2sUUPUTjEZIZLDiy9a23/9pVwcLjLV1Di8Jg0AwGxdDVdXXQQAKHRDeW9dWW9UYZFTx9dV1OS2pzVqiNoBJiNEcrBdtEynUy4OF3237iNLJU2coHHqHLoKaep1faD8yUiej9TrFJlnM8Or3v7bSVElbayixnbc0RSbwcTXX29tcxArtQNMRojcSWPzgW5bouml/jp9ylJJ8/eJjzh1jvAS6ZZNvta+BfbstWPzRhQJUjISVmAz5uOVV+w+h67IWlFTbTsw1FudPWttf/CBtf3jj9b2vn2ei4fITZiMELnTr79a27Ylml7KEG6tpAkOcq73ILRISkbkLu/dum8rACBALMUVc2zG6Hz9td3n6BkYBkCqqPn8k/fkDI+IXMBkhMhVtrcJVA3+S11xhbXdBv4Sd3ZNGlsdqk0AgHwhAufOnJQlLgAoCvQDAESa8hHZu6/1gVz7K2sm3P2QpaImTe94RQ4RuQeTESJXde9ubb/Xtv/adnZNGls33DgeGtEIs6DG+m9XyRUaimrLeiOrG6wI7ECSp/Xzs6mo4SBWIm/BZITIVQab8QtTpyoXhwycXZPGVu9LBkBnlnpW8jWCLHEBQH6glDxEVDgfG2BbUePl5b0zZljbXbo0fjzE5jbau++6Px4iN2IyQuTFNnzzAZbOm4QN33zQ+s4u+vGbVZZKmi4mX5fOVdd7USRjea++dkBs3QBZZ3m6osbp3+GiRdZ2U+Xip05Z208/7VxwRF6CyQiRu9mWZCYk2H3Y0sevRfnaX1Gm7oLytb9i6ePXuiE4qz+P/GmppJk82bUeHl2l1FtUECRfMlJX1ls3QNZZthU1ppoal+NqiWy/w4CAxttsS8ht5nkhaot8Wt+FiFzywQfW6eDPnbPrkA3ffIBTQ5IxLyEZoqCCMMKMiWc3YsM3H+CGce5Z56Z+Jc0wl84VXloGhAJ6P3luhaSln0O+IFXnBFW4NhA4QSPFlKOKwvo1H+LOvztXwtwaJX6HRG0Ve0aIXHHNNdb28OGynfbooT/xWe2HGACIggqrE8bg6KFDsl2jITkqaeqEFUsLuOX5yjM1/vr1/4MoqKERjbhmzC0unWvSPY9aKmpOXjgnS3xNUeJ3SNRWMRkhcsXmzdb2zp2ynbYkNMryIVbHLKhRGhop2zUacmpNmmYEGSoAAHpBh7Iy1wacAkCur3QbItKchyFDR7p0rnoVNeHuq6hx6Xd4/Li17dvC+B3BZoCwAzPREnkbJiNEXigxIBKCWH8cgCCa0CPAfcmIdU2aEudPolYDAPr06gO1WINqQYPPP//Q5diKa8t6dQ3Lep3kiYqapn6HKnt/h4MGWds//dT8fm+/bXPBRMcCJPIiTEaIPCEuztq2o/Lh7w9Mxdj8+tPHDzQewcT7HpY7MgDApl+/t1TSdKp24W0hSOppuGHcPYgQpZV1z5W5nkDk165zo6t0vZcFAKJLpAG27qyoUfvWIEK06a0QRdx94Vf8/QE7Bgcbjdb2tS0Mep0+3douKnI4RiJvwWSEyBNsSzPfeceuQwKqqwEAPqI0YDNTE43l/3pJ9tAAYPeubdZKmkmPOnbwsmXWdv/+AAC1jw8ia6RkpKhDE5UgDtL7SbeQIkrlSUYiiqTen2yN+xY1vJCeBb0qCiqxBoJoAgQBsWd5K4WoKUxGiJy1ymZ20aZKL235+Tl0alNNDU6GRwEARhfsgp9YgVxVNPI1WkejtEuxTSVNaIiDg05tZ52dP9/SrCvvLezgenmv3ldaU8bVst46cYI/AKmi5rt1n8hyTltGYxUOXNIZADDAeAwJpvMAgKx4edfrIWovmIwQOevee63t1FRZT/3xsrdwSiPNSXKJ3oAhZUcAAHsSOyO3QP41VfJcqaSxXVnWZi2eiDKpokbv59og0bKKcuQJ0jiLoOIKl85VZ/Lkxy0VNYdPHW/9AActfW0mdgdL6+ckXTiP7oYsAMApnft6YojaMiYjRM4ymazt3r1lPXVuWRnKhCD4ieV4dNLjGJYjJSD7/Pti1b9elfVagLWSJsaZSpry8iY3hxdLvRh6TZjTcQHAunWfoEbwhVqsRtf4uNYPsIN/QICloqYoTP6KGn3naJQIIQgRi/DcxKfQNU8aMHsyIB4//bC25YP79LG277ij9YsNHmxtjx3rRLREymMyQuQptiWax1v+azwtTvoLukfVOQQHhmLmfc8ixpyFKsEP6b1jZQ+trpImotCJ2yCi2OTmoNpbKrkq12Y6PV2cAwDQifm4+c4HrQ9oNE6fE7BW1OTJXFFz8txf2F2bNF1adATBgcG4d+ydUIs1yBd0OLyvlV4029fGl1+2fsF9+6ztlipviLwYkxEiT/ntN2vbtnSzAbPZjNNh0m2J7oXSX+9qHx9cqpc+pHZ17Ibt23+WLaxdOzZbKmmiK0yt7G2/MK0fBNGMSiEAKb984/R5ioLqVustgL+/zdibmBhru5XkrinRpe6pqPnuw/dxWCP1blxdISVqPeL7oGuNNG4kI563aogaYjJC5AxnJpiyGU9Rr3SzgVXLFljGi3Qvso6RuF0XD5Vowmmf7vhj02bHr9+Mzdt+slTS3HOPfKXDt9wzBWGiVNa756Tzs44W1A6AjTAa6j9wi81MrC++6PB5IwrdU1Fzom8czIIa3WtOY8o9T1i2JxoyAQBnIpiMEDXEZITIGQMGWNszZ8p66rSyUpQLgQgQy/DYvU9Zto8dfTv6Vkk9AH/2a2JJeScVh0gf9jHmHERFxrSyt/06RndBpEkq7y0McqyayJbeX7qNoitrcAtpzhxre3v9OVns0blGWporRxWFjT9+5XR8tr78/APsiuwJABiadareY/G140ZO+HfFLz+tk+V6RO0FkxEiZ2RlWdtvvSXrqdNjpdLaHlXnEBRQfzxDUvo5AMDukL5YvmiuLNerGzMhx5o0DemM0oDYQhfmGqkr6w0rajBQ1rYypaDA4fPee/9Tloqa1MN7nI7P1l/pF5Cl6gSNWIkpl/1fvcfuv/nv8BGrUSiEY9/e3U2f4IUXrO3oaPsv7O9vbX//vQMRE3kHJiNEXuZUqPQh1L0gu9Fj029/CB1EA4qFUKT7ybPotkuVNK3QlUu9Gfn+zg0SNdXUIE8lJR1BLc0xUjtBnCMCg4KsFTUhrlfUmGpqsK+n1GM1pPwI+vccVO/xrl26I6HmHAAgM66ZWzU287Tg8GH7L247iPW22+w/jshLMBkh8iTbUk3bEs5aq5YttIwX6VbUeE6N6IgoXFpcO+dI1ziUlruwjkwtayWNPLOb2gqvXb1Xr3FukOgvW75HpeAPQTQjuHbdGznJWVHz3vxZSA3sBwAYnJbR5D49iqUetdP2zDfiyJwktqXlLlQuESmFyQiRJ9mWajZRAXKutBCVgj8CxVI8cf+MJk8xPE/qwTikvQTvv/myS+EcPJBqqaSJLHe8d6E1HYqkBCdP7dygzT3HDgIAwsUCjJkwWba46shZUZPWRYdKwR9R5hy8MOX5JvexjBvx64rNKd+5fE2i9oLJCJGj7rvP2u7WTdZTn4+VpgvvYTwLf/+mx1k8/fDziK85B5Pgg9Muzjny88YvLZU0E29/wKVzNSWoQlpXp0QIxp/HHJ+ltiBImv4+0pSPxPhessYGyFdRcyHjPHZ3lnq0huUfh28zc6A8MO4++IpVKBbCsGvP7y5dk6g9cSoZWbJkCRISEuDn54ekpCRs27at2X2zsrIwceJE9OrVCyqVCtOmTXM2ViLv8InNWianT8t66rrxIj0Kclrc79LskwCAnZG9sOePzU5fryhYSnhizDnoGB/v9HmaM3j0GASLUk/Oxk0/Onx8Ye0cI7qGZb0yiakWAEgVNTs2Oz93y2cfLcEJ354QRDPGiM2PP4nr3BXdqs8BADJiGyRAtj1lPi6OB3Km9JxIQQ4nI2vXrsW0adMwe/Zs7N+/H6NGjcLYsWORlpbW5P5GoxGRkZGYPXs2Bg4c6HLARO3Vqg/+jVO+teNFiitb3Pdv3QbBV6xCprozNv7+i9PXdGclDQCMvGw0Ik3SuXM1gsPH15X1RpTJP54FACZPftJSUbNlzxanz3O0j9RDdUn1Xxg//sEW960bN3IqIrL+A0lJ1vb69Y4HYfuHnu0U8URtgMPJyMKFC/Hggw9iypQp6NOnDxYvXozY2FgsXbq0yf27du2Kf//735g8eTJCQuSd6ZCoTbKdOfTZZy3N06X5qBL80EE04LH7n2nxFJdfPgaDKqSBrAd6On+rJidI+j8ZUyp/JQ0gzRyrq6or73V89V69JhQAEC7TAnkNhYSGWitqQp1bXfiHdZ9iV5g0GDkp/Uyr+8flShPBnfTrij9se4ts1/i56SbHA1m0yNq+cMHx44kU5FAyUlVVhdTUVCQnJ9fbnpycjB07dsgWlNFohMFgqPdF1G4cspmNdMECSzOtc+14kcpz9ac9b8bg8+kAgNSgflj5zmtOhZKtla6pK5Kh56GZWwu6cunc+QGOl8/WDXzt0FJZr4tijNLEbHmhzlXU7Mo+h0IhAoFiCZ5IntDq/g/cfj80ohElQgi27Nrq1DWJ2huHkhG9Xg+TyYToBpPxREdHIzu78ZwIzpo/fz5CQkIsX7Gx8i8MRuQU25k+bRe+c0QzJZunQqQek+4FuXad5rl7ZyDCrEe5EIhjgY4P/zp5/JClkkZX2vz09C2yHZsQ1vTqvOElteW9Wsd6Rvcf3YtSQUoQAsvc0zMCANGltYNYnayoSU2oXRTPcARxcd1b3T+2Uzy6144buVA7YJnoYufUAFZBqH/vVxTFRttcMWvWLBQXF1u+0tPTZTs3kUtGj7a2bRe+c9Galf/B6drxIgmF9n3wBgYGYVjhUQDAni7dUFHR8jiThtZ/t9pSSXPXHfc5dKzFwoXW9vDhTe4SWiD1auT5OPbB++vWFABAsFiEniObPrccXKmoWTx/Fg769QUADE5redCxre51842ERzl8TaL2yKFkRKfTQa1WN+oFyc3NbdRb4gqtVovg4OB6X0ReoarK2rZd+M5Ffxn0qBY0CBaL8cRD9q91Mzxf6tE4rumFdxa+5NA1CztIU4jHmHMQ17X1v+ibtHattW1zy8lWoEG6TVMohCM957zdp87xkVa8jTLpce017ptVNKpcWqk4RxWNfbsdW+PmVJwONYIv4kxpeO6pOa0fUCsuRxo3ckKbgD+2/AoMGWJ90JnxInVsK6Ieesj58xB5mEPJiEajQVJSElJSUuptT0lJwciRI2UNjKhdsx1fcfy4ZbxIYuU5aP3sX1Ru6iMz0bvqLwDAXw4OZNXLUUmTYTPTqO0soDYi4jojQJR6R35wYEG6uvVsIqoM0GqbnrdDDpMmP1FbUeODn7dusPu47LxM7I5OBABcmnPCoWs+cPv90IqVKBM6YNOuX4H9+60PfufCZGjnzlnbK1Y4fx4iD3P4Ns2MGTOwYsUKrFy5EseOHcP06dORlpaGqVOnApBusUyeXH+mxAMHDuDAgQMoLS1FXl4eDhw4gKNHj8rzExC1Rbalm0lJOFk7XqRbvn3jRWwNzZAqOHaF98H+PfYPJLdU0riyJo2x9bEm1995HyLNeQCA89X2D0StG/AaWd7C4FoZbg+HR0ZaKmoKQ+yvqPnwo3eRpo6Dj1iN6/0d6xnu0rkrelSfBQBkdOG4ESKHZ9YZP3488vPzMW/ePGRlZaFfv37YsGED4mu7B7OyshrNOTLYpuY9NTUVn332GeLj43HONosnupjYdMUX+apw1qcrAKBrYXkzBzRv0sCr8VVxGfJVkVj/xzcYfKl9vZSWSho3rEljKzJUB11VEc77A4WB9q/eWzfgNdzQwnPi5wdUuD64NcZYgLM+CdA7UFFzqJc0cHVg5VHcfPu9Dl+ze2E2jkT3wSmOGyFybgDrY489hnPnzsFoNCI1NRVXXnml5bGPP/4Ymzdvrre/KIqNvpiIUJvTy2Y68rvuku20Oy8bgmpBg1CxEE9NneXw8QOTRiCpVJpzZH/3OLuOSTt/ylJJE25wbOCrM3SVteW9gfb3PNQNeA0taCEZsa202+7YeA9bjq5R8/36T7CnQ+3A1XP2j4OxFVs7buSkJgE1Kq7MQRc3/g8gstcJm3EBn38u22n39JZmJk6sONfsmiatGXRGmuTqgH9frHjvjVb3X7vuY0slzW03tj43hqsiast78/3s+7BPzzmPIiEcAOBvaGFl4ilTrO2XHBvAWy8+BytqtukvoEzogDBzPh4fd79T13zgjgfgJ5ajXAjCke49awOR4ZaNbcn5zp2un4/IA5iMEClsT+IgAEA3fZ7T53hm6gvoZMpAtaDBn8HqVvcvCJQWoIsx56DHJf2cvq69wmpvP+X5hNu1/w8bvwYABIilCI5u4ZiZNpVHBw86Gx50ZTUApIqaI4f2t7I3sDdOWiBxeNExdOzs3DxInbt0RWKVNG7kj4FDpY1NrOTssG+/tbavvtr18xF5AJMRIqXcdBPKtX7Yn9gfANDVzvlFmqL188PwPKmqZndMIqptS5CbUDc2wl1r0jQUWCD1POQLESgqLWp1/3O1t3UizXpcd8ck+y7iwkzN90x82FJR8+3GdS3u+/aCF3HUV7plN/C88wkkAHQvlOYm+X1wbTLSzIR4Drn+emvbjgHGRN6AyQiRUr77DrsGDUS1ry90Rj2eeMzx8SK2Li0B1GINzvl0xYJ/z21xX1kqaRyg1QrQiEaYBTV+/K31ReCKgqQ5UCKrihDfsat9FzGZnI4vqlMXa0VNsH+L+x6Li4QoqNCz+iSmz3jF6WsCQJdsadzIzv5DYFS13qNF1F4xGSGyx8svW9uRkc3v56DNV4wAAAw9fcDp8SJ1Hnh4BvobpZL5Iz1avnVQV0kT6eZKmjrDbrrVUt57PLP1RdzyA6Wy3rqBr54QYywAgBYravJys7FbJ82nMjTztMvXfGjCVASXG1AS1AHbxoxw+XxEbRWTESJ7vPqqtS3jHDm/D5G656/asUuW8w05L1V27A65BHv3/NHkPjk5mZZKmjA3rYbbUFL/kdDVSL0A+qCWex4AQK+VZl2OaKmsV2b2VNS8u2YJclXR8BPLMSYswfVr+mpx2cF9AICNN1zt8vmI2iomI0T2EEVrW477+gC+XL0Cx6KlsQdXb206cXDU5JE3I0QsQokQgi/3/9rkPv/97H1LJc2N190qy3Vbo1KpoKuUxo0UBLVe3ls30DXMiXlXnKWzo6LmYDdpPqWksiMYO2686xft1g1X7NsDANiX2PQMtk654w5r+5JL5DsvkZswGSFSyMGCDJhUPuiSnYmECxnAK66NPwCA3gMGYViRNOdIalzTf7nn+0tzHcaYc3DJkEtdvqa9dJby3pYnFisqMyBfkG4jBeR77jZNWIk02DNHFY0Tfx1q9Pi36/6LfQHS3CKDTsu0eGdJCS7fvxcAcErbDft2bZPnvF9+aW0fOybPOYnciMkIkULOd5T+Ah95SPowkiMZAYC+JzMBAEc0vfH+sjcbPS7LmjROCC+Sbgm1Vt7742/rIQpqaEQjfH1rPBEaAOCuO+6zVNR89UPjeWR+K81EleCHjuZMPD7hCdmu2+fsSYSUF6NS8Mf3OzbKdl6itoTJCFFrbOd+UMtX8XCyQycAwLC/pDED9W4FueD5515D95rTMAtq7AttPCjW05U0dYJqezn0Kh2MxuZLj49nSr0OkeY89L3uOo/EBgBx3RMtFTUFwY0XK9zTqQcAYFjeXwiPkW8Kd5UoYmDWYQBAeieuU0MXJyYjRK0ZOtTa/uQTWU751ZoPcV4tTd0+Yn+qLOe0dWmWVOmxK7J3ozlH3FJJYzvrZzN8qsqgFmtQLWjw294fm91PHyglArqaQlw1/Ppm93MHS0VNSP1bSW8unoPTPt2hEk3om14g+3X75pwCAJwKjZH93ERtAZMRotaU2aw0e889spwytTADZkGNSHMuup9tvdTVUUkVamjESmSrOuL1ZdZKoJzcLEslTairg0P1Nrd5oltftbbzkP7QidIx+44ebna/ugGukRUlUPs4vJanS5qrqDkcJ/WE9Ks6hqdm/lOei40aZWl2ypUqjU77dsWBPb/Lc37bqeVlugVI5C5MRogUcC5GGi+SWJ5W/9aPXp5xHJMe+QeGlEsDWQ8mWBfP+2yNtZJm9BVjXLvILJtJ2q5vvQfjmuTx0NVIvQq52uZ7UvR+tWW9pZ6rpKmjK2hcUZOReR67Q6WBq0PPn5PvYjYL+9383GvoIBpQJfjh2x0/y3N+29uLTEbIyzEZIVLAqaDOAIBueXn1b/106ybbNQafTgMA7Avsi127fwMA5GqkxCfGnIOkK65x7QIbNljb8+e3untEcCh0RqnnoSAwoNn99LUDXMOLPJ+MhBmkQbY5qmiknZdudb373ScoFkIRLBbj6qiebrluTKfOSDRK69SkdZRp3IhtCbpM45GI3IXJCJGHrV+9AmnqLgCALgXl9W/9lLSwQq2DJlw9DlHmHFQK/lhzZDcAmStp8mzWZbFz7hVdbW9Hvn/T5b0VxkrkqaRzdcgva3Ifdxp3098sFTWrv5aSxP21JdKXGo4i+ba73Xbt7vnS88lxI3QxYjJC1BKb+/pyrYC6uzgLoqBGtDkbjz/l/LL3rek1cAiG50td9Xs7dwcgcyVNdbXDh9T1duRpwpp8fHNqCmoEX6jFaqgr7EzMVPK9jfXoN8BSUZMfqMWXn6/EIW0fAED/4zLNLdKMTpnSLazTPgk4uGd7K3sTtS9MRohaYnNfH5s2yXLK83XjRcrSXV6PpjV9TmRCEM046ZuI/yx/w6aSxvO9DgAQUjtoNk+lg6mm8RwiqUelycZ0Yj7CLrHzllVg6zO6OiLGmA9Aqqj5paYIJsEHCTVn8fCU6fJdZNkyaztEShDv+9tUBItFqBY0WL8zRZ7r2CZqMo1HInIHJiNEHnaybrxIrmvLz9vj8WdewSXVUu/I7ogONpU0yiQjvkUGCKIZlUIAdv/VeD2ePF9pTEtkTQFG32Bn5VKPHtb2qlUuxxhdWjuINTAEu6Ok6fqHZZ9CuE6+BRLx+OPW9imprLdjbBx6Vp4DAKTFyDRu5L33rG0ZxyMRyY3JCJEHrVuzAhdU0niRzrbzfCQnW9sj5Fu9Vevnh0vTpMXztoUNsVTSjLj0ctmu4VA8nUIRBul2xI7UxiWsBUHSar0RRgM6R3a076T/+Ie1vWiRyzFGFki/l6N+PZGp7gxfsQo9L8g8QZzZbG3bjLfprq8dNxJi58/emqlTrW0ZxyMRyY3JCJEH7TFkQxRU6GjOxNQnX7Y+8LNNOefOnbJes3+NDwLFElQK0mq5OnMeRo2+UdZr2GvEDbcjska6DZJpMjd6XF87sFVX5kAlje0A4BMnXIoPAEJqx7XUPV+DKw/j8VmvtnSIbDrWjhs549MVB/bItE4NURvAZISoObb39Tu0vLibvc5FSX8F9yhLh9av8ZTj7nDPozPRpTrD8n2WqhOmrp/nkWs31D9xECLrynuDGpf36msHtkYUVjh3gTLXbz+d6OFXrxQ20Oi5W1p//9vDCBULUCP44qtdv3nsukRK8+z0hkRe7J2Fc6D3FaCrFvHUjFfq39c/c0aWa5wMkm7RdM/x3GDC7/d+gxO+NvNjCAK+DbkRN+39BjcNHeexOABApVIhorwMCGpc3muqqbGU9YY4W9Zrbtzb4ojv936D73Q3A4Jg2bYlZCS+l/O5sh1I2qASqEt8Anoe3oTdAeFIi2l5QUFXNXq9EymIPSNEAKZ//BbmDxqH5f1uxfxB4zD947eava/vrHVrVyKjdn6RjvkyrgvTij/2pUIU6v9XNwtq7Nwn/5o49oionVgsTxtab/ueE3tQKfhDEM3wLfTsIn51PPJc2Q64tR1gWqtbbbJyKlimcSNXXGFtXyNNdNfk651IQUxG6KL3zsI5WBN3neVDSBRUWBs3GmfjO8t6nd2GLABAZ9MFPNzU/CIhNuuh2N4iclHMBTMEsX6PgUo0IfqCSbZrOCI0XxqToVfXrxjZkSqVUYejAKoYf4/HBXjouSq2SbRsB5jW6pghjak569MV++WYb2SbzdiTzZubfb2/s3CO69cichKTEbro5foKTf41fL6zvMnIWct4kQz4BzQxHXptiSeA+reIXBQTFIYHM3dBJUofqCrRhAcydyMmyL23AZoTkC99GJcIwTieYR1wesEkxRdZk4/B192gSGze8FyNv/tBhJvzYRJ88NWeX2U/f04zr/d83rQnBfHlRxe17Zt+xr7uXRttF0QzEk+eq/1GaPS4M04FSrdouuXkN72D7a0gF8c+2Lrr2X9A8+h8jO5yFicjDEjMD4bhQhHGLZ3V+sFuUO0nIlgshkEIwaYdP6P3XdJ4lroBrTqjAZcNuEOR2LzhueraoycS/9qOXQERSIuWab6RWiYA+7vHN9ouiGZENJ6Djshj2DNCF63MjHSszP8L+/wHQRDrd8+rxRqUBEpzXmCO693X6z5fiUx1ZwiiGdF6z8/3MG7pLOh9zyPw6Fnofc8rlogAQMLlwxBpksZFnDdYx87UDWjVlZdC7aPc30ne8Fz1qF3351RwJ1nP+8HEidjnPxho8HpXwQSDrFcicgx7RuiiVF1VhbdTVmNDvDTZ2J0XfkGivgy5GuC3ngNwxrc77vvnIvzwxCREyJCM7DRkA5FAF3MGHnp6tsvnc8Zdz/6j9Z2c4WDP0egrb8dHm9bgtA+gD7KODdFrQgEAEcWVckbnFLc9V9fYrJRsO7C0gegL+UA8cE4dh727t2LosCtdu25gILYn9sE/75emtL81ZzMuySpGng+wrWdvHNf2wceDroPm1efw7ItvunYtIicwGaGL0qvvv4E1faVxCckF2/Gfyc9aHlv72QeYHxSIc53j8NAbC/D6kQPo3XeQS9erGy+SWHoBgXU9Lk1Rqay3aPR6Wap43M7B9XU6BARCV1EGBAD5AdbnIk8t/ax1A1zbpc2bre1tzU9qdufEB/Dp2XToVZFYn7rJ5WTk7WenYsWAG2FS++DK7B34922PWea5+fPwXjyUdQ7nfbrifyOuheafz2LaS6yuIc/ibRq66Mx/YxY+6XsdTIIPLi3fjw9unFLv8fETH8LKl/4B/8oK7Og1DK/+tcPla54MjAMAJGQ3M16kjm2pp20JqLc5ftza7tLF4cN1BinhyNdKFUTH0v9CqSDdpvHPL3I5vLauW7feSKyQpvFPi3YtIf35+8+xZuRVKAwJw4C/jmLFQzPrTbg3oN9QPG8ohs6ch1xVNNZedhlWvjffpWsSOYrJCF1UFrz2LD4dNgaVQgB6Vp/Af/pd0eRMqEP+PIpFb80FAPwSNhLPfPi609f84vOVyFHFQBDNiMxv5c68balnsTJzbdhl5kxre9Ikhw8PK6ida6S2vHfTHmmV2mCxCNUaZUqOvU33vNr5Rjo4P26kxGDAf1TlSFfHIrysAB+9PAPBTUy1f9sd92LK8d0IFEtx1qcbPu/WGZt/2+D0dYkcxWSELhpLF72CNcOvRKEQjk6mDLwsatE1PrHxjnfeCQC4dfNG3JghlVauTbgOry1qYm4QO+wsyQYAxJrT8YBC40VkZ7t+jhNlyEG5UlJWqApHXnEezhVJg3ojTXpEJ10iS4htXXR67SBfdRx27XZuavgZP36Ivf6DoBZr8K/3X0XnvJxm9532+GxMPvILfMRqHPAbgPdLziMrM82p6xI5iskIXRR+/HoVPr+kFzLUXRAiFuGRM8dw3f81M733unWW5owB16Kf8QiqBQ1WDbgaa1d/4PC1z0VJS88nlmYgOCiklb3biKIia9uJcS3V5lIEiNKU7z/+8QMKAmsX8asqxujR4+WI0PusWGFt27HW0bgJkxBlzoFZUOObfY1XOG7NC0vn4fvIqwAAd2Zswg3fb7I+qG96OYI5T87FhDNSL9Wm4BF4dfOXMNWw5pfcj8kItXtnTh7Hcp8KHNP0hlasxL2HNuGRh5+x69i+Awbjrr/OINqchQJVBN6NCEVWVrpD1z8ZUDtepHZF1nbBxQ+ogJ6xiDRL5asnsjKRHyB9OEdWlCE6NNLxE6rVLsXjEba34OxY66hnz4FILJd6Js47ON/IO0tew5peoyEKKlxRugcvXn9v/Vtr/fo1e+y/pryAW3KkxOWrmKvx4kpW15D7MRmhds1YWYlXD2zEH4FDIYgm/P2vjXjhaccWBXvk6Zfwt91b4C+W46RvIp7ebf+99LVfrECuKhqCaEJknp1jQJpYS6S9uWLMHdBVFwEA9Fot9NpgAECEwcmy3qAWKpS8hclmLIydvUndcqUBzyc72D8b8K6dv+GjXoNRLgSiR80p3FMCREZGAW/ZVMjkNH+7BgCW3vkkRhl2QRRU+F+PMZi36GW7r0/kDCYj1K69sPodbNBJZZF3X/gVrz3q3Jvq87PewN//+g2CaMbW4OF4+hP7/lrcVSr99R9vSsek6XZOntVgLZH2qG9CX+gqpAnP8gODkOcjfTiHObta7+DB1vaCBa6G5zWi06XXT7oqFjt3bm51/4qKcrxUlIUsVSeEiQW4decu3DbxIYevq/bxweKksehfe4vy04Fj8Mb85x0+D5G9mIxQu/Xyu3OxJv5aANJcIv+2mUukWd9/b21rtfUemjnpSdyULyUKX8aOxmtL/tnq6c7qrONFwoOVWQvGW+lKpIqaLH8dioQwAEBQnpOrGf/T5nexcqWroXmNG+76O2LMWRAFFb75s/l5Seo8+sOH+FPbF75iFSal/oZnXnI+MevcJQ6v+OsQX3MepUIHfDbsGry3aK7T5yNqCZMRapdeX/ACPr0k2TKXyH+um2zfgbffbm3/8ku9h4KDQjBOE44hlQdhEnzwae9R+PqH1S2e7mSAtA5IuxovIpPwQikZOesjPUcBYilqqp0sZ7a9tXX+vKuhyc92wKgDM9Ze0ncwepRJY5TORbV8a+e5D17DTxGjAAATzm/CzKddv7Uy8qr/w9S0s5Y5SFb1G4BvP//Y5fMSNcRkhNqdRQtewn+TrqudS+QkXu/cDyEhwfYdXF1tbTcxXfdN4yYhedcBdDZdQLEQijc0/riQ0/SA1lWfr4BeFQmVaEJ4XqEzP0q7Fpwr9YKYBGki6EizHj7do1w/caXy08k30ru3tf3qqw4d2r123MipoOYnl3vvk4VY0300AODa4j8wof8I+DY1M2737tb23/9u1/Xvf3Aa7v1zGwLFUpzx6YYlHdQ4fvSg/T8AkR2YjFC78tnKd7Fq8DAUCuHoaM7EE/pC9B90qazXmDZ3ESZu24JAsQTnfLriiT0bmyx/3FMufYh0NZ3HPU8+59hFbEs/ly1zJVyvJRiKoBGNlu8jq4sw9OqbXT+xKLp+Drnl28y8+8ILDh1qGTeijsXvO35u9Pjug9uwtEs/GAU/9Kk+jlEnM5A0tJnp40+dsrZXrbI7hpnT52HSkZTaOUj6Y96JHSgxcGk9kg+TEfK4dxbOwcv/mYt3Frq+AJ2tfbu344POOlxQxyJELMJ9f+7G3RMflvUadZ544TXce3gLVKIJOwOT8MTaxY32sYwXKclEZES0YxewLf10YlKxtqCmk8ZS3gsAuopSXNpb3sSxPbjujvHoZMoAAHx3eE+9x8oqyvBsdib0qijozLm4edPveHSmYz0v9pr75Cv4W+0cJL+FjMBz3zs+505r3PXeQN6PyQjZLypKut8d5XxX+vSP38L8QeOwvN+tmD9oHKZ/LM+CXAV6Pf6Ze9wyl8ikA7/g6elzZTl3U7RaDW66+hrclrMFAPBNx2vwzw+t63mYzWac9JfGQnTNcGK8iG3pp9nc/H5tWI+RV0FXY719FVFSAbUP1+5saMCA4UgsvwDAuuBinSk/fYrjml7QipW4b+dWTHvt326NZcGUFzCudg6S9THX4Pnlr8l2btnfG2R4vyLPYTJC9hEEIK/2r9i8PIeXjQeAt+Y/hzVx10EUpJedKKiwJu46TPvoDbz+r9lY+e5bKLad2dMBMzd9Vm8ukRdnOPHXYXy8tT1lSvP71Roy4HL0y9LjsvK9MAtqfJxwBdb/ugYAsOqLFShQRUAtViNUz/EiTblq2A3QVZZYvvetrFIwGu/WLbvxuJEZn8zHptARAIC/n96MO+57ACqV+9/S37r+fowq2Q1RUGFVjzGYt9i5ZRJOnTyCxQtewrxFL+KJ/y7A6kbvDaPxrwVOLp8gw/sVeZYgit54g7U+g8GAkJAQFBcXIzjYzoGI5Bq9XvpwLm9lOfe8vGYncNLr9fjgw4XI6BKOExExOKbpgWqh8aJ0tgLEMkSYCxBWU4zwylKEVZQjpKQCHUorEBcejQkTH6k3MO+dhXOwOz4Sv4RLg03vTk/BO5NnNnf6ltm+YTnw32LxM49gzfXX45w6AV1M6Vg3oD8W/rgWa+P+Dz1qTuGLQSPRMdKJxc6cjMcjZIrt5h8+xJ6AJOmUohnjir/HstucrALx1ufrppuAH36Q2oMHA/v2OXyKhS9Nx1vX3gsAWOuXjUNpJ/Bm5GWoFjQYW7gN11UA99zzpH0n02isA7W3bWtyoHZrThz9E4+nHcIhbV8EiSW45+DPEH18oKsW8dQMaVLBzIzz+GLdJygUa1DSwR/FQQEo9A9AgaYDCnxCkS9EoEbwbfE6wWIx+pWdRI+cXHQrEzG1pbWdXnkFmDu35cAvvRTYvdvBn5ZcYe/nt1PJyJIlS7BgwQJkZWWhb9++WLx4MUaNGtXs/lu2bMGMGTNw5MgRdOrUCc8++yym2k6N3AomIx5w/Lg0RbTJtRVT//vsYziU2BmnoqNwPCABBaoG01iLYqMPjS7mdBSrQlAitL5ui59YgXBzASJqimBU+eKET6LlfP2MR/HL9ROdD97JDzOz2Yz3Zj+P/4y5AQYhFEPKD8IkqHDQvz+uLvoDa2571Ll4VCprHC0kfYqQ4YP/+73f4CFDrOWvYQBQiSYsD76Am4Y2s26QvTFFRgK5uU7FJTsZnqvUfdvxcEERMtRdcFXRDhwI6YNiIQwDjIcxdtMWTH/TgfEb27cDde/Xvr5AlXM9Ut9++T+8FtIB533irf+vRREx5iyYBB8UCOGWSqnmCKIJ4WIhgk0GnPVJaPxc2XwviGbEmdPRy3ABCRm5uPv7bei7cVMTZ3VAdDSQne3aOahFbktG1q5di0mTJmHJkiW4/PLL8f7772PFihU4evQo4uLiGu1/9uxZ9OvXDw899BAeeeQR/P7773jsscewevVq3HHHHbL+MI7aeMPVKNCFIlxfhOQNmy+ucy1bBjzq2Idkpi4KZ7rEoduFNHTSS2/0lb4a7Ok3CFuGXoatScNxqEdviDZdxT5iNXpUn0HPwkzEZxUgJywIX8ZdB7Oghko0YXzar1h0nzQZ2dZfv8OOA7tQEqCBIcgfxYEBKPALRL5vCArUYSgWQluMTyWa8PyBby1/mTnMhQ+N0xdO4YvP1+I/g5JhEnwtb6SCaMZU42bMGTvD8Xhefx2YbfOXoKt/7UdFSUmNqx/UTXV5OxHba5+/jv9E3tBo+1N5G/DC3Y5VnMgZFwD5nquGcbnwO7zm5zU4prGWCIeYC/HUd1/h8cX/cS0mF37GeQtmYUnS3c3eBlGLNQgTCxBhKkJ4lQFhFeUILatAB0MFwkwCbh03AV279QIgjRlZGzfa8t5wx4VfEVJagTMdo/BXh1hkqOuXNvtVVmDEn/tw1d6duCp1J3qfPQXbKJp6v2qVVgtcuNAo8W9z7+8KxtSQ25KR4cOHY8iQIVi6dKllW58+fXDrrbdi/vz5jfZ/7rnn8O233+LYsWOWbVOnTsXBgwfxxx9/2HVNdyQj70y7H2/c9ATMajVUJhOe//5dPLX4ozZ3rgK9Hkf/3I1z506h2FCEiqoq1KgAk1pAfrWI1Um3Q1SpIJjNeHjjJ7hrw48ILihBQGkl/Ksq4W80QtXcS2DmTMt6FvXiMptx5dnfkdc5Aic13VGlqj9T6SWnT+DK1J24au9ODDu0H4HG+vM+ZOiicK5zLLpmpKOzPtfuN+gN61fj0MlDKAvQ4nTnSPwaOrLRPo8cWo9XnnIiGZHhg+y/q/+N3wUzvo6uv56MSjThu9hqJCVe5npMfn5AcDAQFwdcey3w5JNAl+bnn2jxXHU/X1UV8NJLwCefSLfnnOkdc+IDbe0772Jav5GNekYWHf4D4596wrHr1yUPjvD1BRISgPnz60925+xrYft2YPlyYM8e6a/t8vKmex2cSEhST+7ETemaes+VIJrwWWQRruk/2uHzyZW4vfyfuVje79ZG2+/I+AWJWUVIHnMbLhmUZHdMjd4bbOSGRWBr0nBsHjoCW5OGIzei/oKKoTWF6Gk8g8S8PISduoAl19zf+H20Vy/gxIkmL1+jUqNSq0WFnxYlwYEojAxFWrdYbB80CJ8Nu9PyPnrvzrUI0/hAI6jgr/GHLkKHnr36o1e/wdD6tXwb2hs/d+SMqSluSUaqqqoQEBCAL774Arfddptl+9NPP40DBw5gy5YtjY658sorMXjwYPz739ZR3uvXr8fdd9+N8vJy+Po2vmdoNBphNFrnHzAYDIiNjZUtGdl4w9W4b8bbMNus9CmYzbhl90/wqzECAmBWqSBCgCjUfaHB99K2Ch8tfu1/daPuxKsPb0OAyVj/wg2eaaHBU1+p1uCXAVc3+kuqf/oRmNVqGH01qPLRoNJHC6OvFkYfDYw+2npvUM7QmKrgK1bBV1UNX1TDV5S+NGINfMVqQASOano3+9dPqFiIXhVnkZiZhQnL12Do3sMuxWOPc11iMPKj7+v9DtUmE3bcdxPiM2TqdnXiA3b24pn4cOA9jbY/cnI9XnnYgSTJmQ9XpTn4YfbJ86/iZL8IrOw0zPLX8AOZu5F4uAD3vuHgwMW2NEDRidfVyx/MwfIetzXa7vDrCpD1tXWucwxGftz4/+Hv992ErnL9P2xCDYDP778T28aMwMmwGJzQdEeVoG3+AFFEj5pTEAUB1YIG1YIPqqR3O1SbNahSaWBSuVbJpTbVQGuqgrbGKH1VS22/aqktmMzY3T2p0WfFtX9ugb/JmrSKDV/Lth8Htd9UqDXY1O/KRuca/ecW+NcYIYii5Utl0xYgArXbIAKVPlp8O3xsvWuqTSZ8tPAfsvWQ2JuMOPTs6/V6mEwmREfXnzMhOjoa2c3cd8vOzm5y/5qaGuj1enTs2LHRMfPnz8crrzjZ1W6HAl1ovf88ACCqVPjmssZdxs4QBRU29b9KlnNBEHAorvnlvuvtajbDz2iEf1UlBLOI/LDGa6H4GStQ4+uDGpU1CaxSa1CFJmZrbMWVhp0YfCIdU+5/CpG62t6Ahxp8iISFAU5WyLSk64Vs/Gvhq5g540WY1GqoTSYsWPiqfIkI4NQbdkSxFoJobvTXfkiWg70NbS0RiYxsfZ8GSsQzGLKpHKO7ReJkhAGJ+cEoPJOOzEgnfoeRkW3nOXMiztBME4TuMryunLx+c7pmNP3/0C2JSHIy8LM06ZsPgIm1XwCw9dcN+OXIbpzrpMPBkO7IUTf4XBEEnPJNbPq8Tfwtp6kxwq/KCHW1CYUhYY0eDywvQ42PD4waawJkUvugXO2Dck2A3T+SKKjw60B5VuYWBRV+keFcJrUahbpQ1wNykFOpoNAgcxNFsdG21vZvanudWbNmYcYM6z32up4RuYTri6AymRr1jEz44ysEVlVAZTZDEAEBtf/aZpaiaN0GEWW+flhx3aR64yQEsxkPbfwUHYzWSpSG2W5T35dq/PHhdX9vdK4X1ixGTGEe/CuM8K+shH9FJfzLKxFQUSH9W1aOgPIK+BmrLf+vzsZ1xOUfftfoL5bl78xC8obNOPbnARw/vg852dmoqKpAldmEGpUAk1qFGl81TGo1anxUqPFRw+CnxXfRVwEN3givOJ2Fp2a2Ms9AoU1Zq8x/7U/88WtcvWcHznaORUJGuv33he3lxAesThuIm7M34vuYMZa/9m/KToFOG+j4tZt6riIjgcxM4LvvpNsqhw9L+1VUADU1zo1JCAqSKio++MD5Wz5OjDnoNnIESpb9hmMVZxHkG4pj1UWIKAS63XKtw+dCbq5ztx5++AF49lng5Mn6SwHYS6WSbvcEBQGdOwMjRgCPPQYMGND8613J11Xd9dvK/0M7e5GuHH0Drhwt/TH5zsI5mD9oXINbWmbclvkbQsqNUJlM8Kk2QW0yQW0S4SMCfiofdAgIQpfYeFwycBi6xHYFAKSMuRz3PvdOo/fRXx67CwlpWTAJAsr9tKgI9EdZYADKA/xQ4e+HigB/VPj5odLfDxV+Whi1GuSERmDhrY82en9/8Jf/1fuskOIVm2zXKdX4Y/n/3dvoXA/8+j8EVVVae/Nre/Glnn4pYbHdXqbxx5oRt9c7j9pkQpi+qNXnXG5eeZumIXeNGXnzpics2fxzLt67a+/naji4zHbgqUPkHGTopedaOf1VnOpUhYpQH/gX1aBHpgYPLHpR0ZhkPRcg2wDPpY9fiwE7jTAEhSO4tAB/XqbFo+/9pmxcXvq8y/a6kjku2c4lY0yyvV/Be9+T5TqXnDE1xa0DWJOSkrBkyRLLtksuuQTjxo1rdgDrd999h6NHj1q2Pfroozhw4ICiA1gBaexIoS4UYTKNam7v53pn4Rzk+wARNXC+YgWQt1LBS8/16RvzUZlbBr+oQEx+fpZXxCTruWS04ZsPkHZwG+IGjsIN4x5SOhyJlz7vsr2uZI5LtnPJGJNs71fw3vdkuc4lZ0wNub20d9myZRgxYgSWL1+ODz74AEeOHEF8fDxmzZqFjIwMfPrppwCspb2PPPIIHnroIfzxxx+YOnWqV5T2EhERkfu4ZQArAIwfPx75+fmYN28esrKy0K9fP2zYsAHxtVNpZ2VlIS0tzbJ/QkICNmzYgOnTp+O9995Dp06d8M4779idiBAREVH7xungiYiIyC3s/fzmQnlERESkKCYjREREpCgmI0RERKQoJiNERESkKCYjREREpCgmI0RERKQoJiNERESkKCYjREREpCgmI0RERKQoh6eDV0LdJLEGg0HhSIiIiMhedZ/brU323iaSkZKSEgBAbGyswpEQERGRo0pKShASEtLs421ibRqz2YzMzEx06NABgiAoHY7bGQwGxMbGIj09nWvxeBCfd2XweVcGn3dlXGzPuyiKKCkpQadOnaBSNT8ypE30jKhUKnTp0kXpMDwuODj4onixehs+78rg864MPu/KuJie95Z6ROpwACsREREpiskIERERKYrJiBfSarWYM2cOtFqt0qFcVPi8K4PPuzL4vCuDz3vT2sQAViIiImq/2DNCREREimIyQkRERIpiMkJERESKYjJCREREimIy4mVee+01jBw5EgEBAQgNDW1yn7S0NNx8880IDAyETqfDU089haqqKs8G2s517doVgiDU+3r++eeVDqvdWbJkCRISEuDn54ekpCRs27ZN6ZDatblz5zZ6XcfExCgdVruzdetW3HzzzejUqRMEQcDXX39d73FRFDF37lx06tQJ/v7+uPrqq3HkyBFlgvUSTEa8TFVVFe666y48+uijTT5uMplw4403oqysDNu3b8eaNWuwbt06/OMf//BwpO3fvHnzkJWVZfl68cUXlQ6pXVm7di2mTZuG2bNnY//+/Rg1ahTGjh2LtLQ0pUNr1/r27VvvdX3o0CGlQ2p3ysrKMHDgQLz77rtNPv7WW29h4cKFePfdd7Fnzx7ExMRgzJgxlnXYLkoieaWPPvpIDAkJabR9w4YNokqlEjMyMizbVq9eLWq1WrG4uNiDEbZv8fHx4qJFi5QOo10bNmyYOHXq1HrbevfuLT7//PMKRdT+zZkzRxw4cKDSYVxUAIjr16+3fG82m8WYmBjxjTfesGyrrKwUQ0JCxGXLlikQoXdgz0gb88cff6Bfv37o1KmTZdv//d//wWg0IjU1VcHI2p8333wTERERGDRoEF577TXeCpNRVVUVUlNTkZycXG97cnIyduzYoVBUF4eTJ0+iU6dOSEhIwIQJE3DmzBmlQ7qonD17FtnZ2fVe+1qtFlddddVF/dpvEwvlkVV2djaio6PrbQsLC4NGo0F2drZCUbU/Tz/9NIYMGYKwsDDs3r0bs2bNwtmzZ7FixQqlQ2sX9Ho9TCZTo9dydHQ0X8duNHz4cHz66afo2bMncnJy8Oqrr2LkyJE4cuQIIiIilA7volD3+m7qtX/+/HklQvIK7BnxgKYGjTX82rt3r93nEwSh0TZRFJvcTlaO/B6mT5+Oq666CgMGDMCUKVOwbNkyfPjhh8jPz1f4p2hfGr5m+Tp2r7Fjx+KOO+5A//79cd111+GHH34AAHzyyScKR3bx4Wu/PvaMeMATTzyBCRMmtLhP165d7TpXTEwMdu3aVW9bYWEhqqurG2XaVJ8rv4fLLrsMAHDq1Cn+BSkDnU4HtVrdqBckNzeXr2MPCgwMRP/+/XHy5EmlQ7lo1FUvZWdno2PHjpbtF/trn8mIB+h0Ouh0OlnONWLECLz22mvIysqyvJA3btwIrVaLpKQkWa7RXrnye9i/fz8A1HvzIOdpNBokJSUhJSUFt912m2V7SkoKxo0bp2BkFxej0Yhjx45h1KhRSody0UhISEBMTAxSUlIwePBgANIYqi1btuDNN99UODrlMBnxMmlpaSgoKEBaWhpMJhMOHDgAAOjRoweCgoKQnJyMSy65BJMmTcKCBQtQUFCAZ555Bg899BCCg4OVDb6d+OOPP7Bz505cc801CAkJwZ49ezB9+nTccsstiIuLUzq8dmPGjBmYNGkShg4dihEjRmD58uVIS0vD1KlTlQ6t3XrmmWdw8803Iy4uDrm5uXj11VdhMBhw7733Kh1au1JaWopTp05Zvj979iwOHDiA8PBwxMXFYdq0aXj99deRmJiIxMREvP766wgICMDEiRMVjFphClfzUAP33nuvCKDR16ZNmyz7nD9/XrzxxhtFf39/MTw8XHziiSfEyspK5YJuZ1JTU8Xhw4eLISEhop+fn9irVy9xzpw5YllZmdKhtTvvvfeeGB8fL2o0GnHIkCHili1blA6pXRs/frzYsWNH0dfXV+zUqZN4++23i0eOHFE6rHZn06ZNTb6P33vvvaIoSuW9c+bMEWNiYkStViteeeWV4qFDh5QNWmGCKIqiUokQEREREatpiIiISFFMRoiIiEhRTEaIiIhIUUxGiIiISFFMRoiIiEhRTEaIiIhIUUxGiIiISFFMRoiIiEhRTEaIiIhIUUxGiIiISFFMRoiIiEhRTEaIiIhIUf8Pv/XJ1gbbQSwAAAAASUVORK5CYII=\n",
+      "text/plain": [
+       "<Figure size 640x480 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
     }
    ],
    "source": [
@@ -195,20 +233,37 @@
     "    \n",
     "    H = jja.H_array(ph, N , Ncut, EJ, EC, EJb, ECb)\n",
     "    evals, evecs, symmetric_data = jja.SortedDiagonalization(H,V,10)\n",
-    "    [scan[k].append(symmetric_data[k][0]) for k in range(N)]    "
+    "    [scan[k].append(symmetric_data[k][0]-symmetric_data[0][0][0]) for k in range(N)] \n",
+    "    # plt.imshow([[ME(symmetric_data[0][1][i],jja.Op(CosPhi,N,0),symmetric_data[1][1][j]) for i in range(10)] for j in range(10)])\n",
+    "    # plt.show()\n",
+    "    \n",
+    "    \n",
+    "    bs = jja.cartesian([np.arange(-Ncut,Ncut+1) for r in range(N)])\n",
+    "    chrgs = np.array([np.sum(bs[r]) for r in range(len(bs))])\n",
+    "\n",
+    "    state = evecs[0]\n",
+    "    ChDist = np.array([np.sum((np.abs(state)[np.where(chrgs==r)[0]])**2) for r in range(-N*Ncut,N*Ncut+1)])\n",
+    "    plt.plot(np.unique(chrgs),ChDist,'r.-')\n",
+    "\n",
+    "    state = evecs[1]\n",
+    "    ChDist = np.array([np.sum((np.abs(state)[np.where(chrgs==r)[0]])**2) for r in range(-N*Ncut,N*Ncut+1)])\n",
+    "    plt.plot(np.unique(chrgs),ChDist,'.-')\n",
+    "\n",
+    "    plt.grid()\n",
+    "    # plt.show()"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 41,
+   "execution_count": 69,
    "id": "883a7430-7254-4171-ba4a-3c74ca800eb2",
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": 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\n",
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\n",
       "text/plain": [
-       "<Figure size 640x480 with 3 Axes>"
+       "<Figure size 640x480 with 4 Axes>"
       ]
      },
      "metadata": {},
@@ -219,7 +274,7 @@
     "fig, ax = plt.subplots(1,N)\n",
     "\n",
     "[ax[r].plot(ph_list,np.array(scan[r])) for r in range(N)];\n",
-    "[ax[r].set_ylim([-8.25,-6.5]) for r in range(N)]\n",
+    "[ax[r].set_ylim([0,35]) for r in range(N)]\n",
     "# [ax[r].set_xticks([]) for r in range(N)]\n",
     "\n",
     "fig.tight_layout()"
@@ -227,23 +282,13 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 13,
+   "execution_count": 70,
    "id": "1badd675-ce02-4b8e-8f13-aae213f32c3b",
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "text/plain": [
-       "[<matplotlib.lines.Line2D at 0x7fd9fb671250>]"
-      ]
-     },
-     "execution_count": 13,
-     "metadata": {},
-     "output_type": "execute_result"
-    },
-    {
-     "data": {
-      "image/png": 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\n",
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2Ar29/mkTEQUNBiNE5H++dtMAQHu78u0hoqDiUzCyceNG5OfnIzo6GsXFxdi1a5dHz/v444+h0+kwc+ZMX3ZLRKHK28xIVBQQHe38XCIKW14HI9u2bcOqVavw2GOPobKyEgsWLMDixYtRU1Mz5PNaW1tx77334vrrr/e5sUQUorzNjAAsYiWKIF4HI8888wyWL1+OFStWYOrUqdiwYQOys7OxadOmIZ/3wAMP4O6778bcuXN9biwRhShvC1gBFrESRRCvghGz2YyKigqUlJQ4LS8pKcGePXsGfd4f//hHnDp1Co8//rhvrSSi0OZtN43juuymIQp7Om9WbmpqgtVqRVpamtPytLQ0NDQ0uH3OiRMnsGbNGuzatQs6nWe7M5lMMJlM9vttfd+MLBYLLBaLN00OSfJrjITXGkx43P1H29ICDQBrfDxsA47vYMddm5AADYDeixch8m+iOJ7v6oi04+7p6/QqGJEJA2ZQFEXRZRkAWK1W3H333Vi3bh0mTZrk8fbXr1+PdevWuSzfvn07YmNjvW9wiCovL1e7CRGJx115V506hTQAB6qrca6szO06A4/7Fd3dyABweO9enPUmo0Je4fmujkg57l1dXR6tJ4iiKHq6UbPZjNjYWPztb3/D0qVL7ct/8IMfYP/+/dixY4fT+i0tLUhOToZWq7Uvs9lsEEURWq0W27dvx5e+9CWX/bjLjGRnZ6OpqQmJEfCmZLFYUF5ejkWLFkGv16vdnIjB4+4/2oULodm7F71//SvE225zemyw4679znegefllWJ9+GrZHHw1wi8Mfz3d1RNpxb2trQ2pqKlpbW4f8/PYqMxIVFYXi4mKUl5c7BSPl5eW49dZbXdZPTEzEoUOHnJZt3LgRH3zwAf7+978jPz/f7X4MBgMMBoPLcr1eHxF/PFmkvd5gwePuB31zhehGjwYGObYuxz05GQCg7eyEln8Pv+H5ro5IOe6evkavu2lWr16Ne+65B3PmzMHcuXPx/PPPo6amBitXrgQArF27FnV1dXjxxReh0WhQWFjo9PyxY8ciOjraZTkRhTEWsBLRELwORpYtW4bm5mY8+eSTMBqNKCwsRFlZGXJzcwEARqNx2DlHiCjCcJ4RIhqCTwWspaWlKC0tdfvY1q1bh3zuE088gSeeeMKX3RJRKBJFzjNCREPitWmIyL86OqSABGA3DRG5xWCEiPxLzmzodEBMjOfPYzcNUcRgMEJE/uXYReNmPqJBsZuGKGIwGCEi/5K7WbwpXgXYTUMUQRiMEJF/+VK8CjAzQhRBGIwQkX/5MseI4/o9PYDZrGybiCioMBghIv/yZY4RAEhIcN0GEYUlBiNE5F++dtPodEBcnPM2iCgsMRghIv/ytZvG8TksYiUKawxGiMi/fO2mATjXCFGEYDBCRP7lazcNwBE1RBGCwQgR+Zev84wA7KYhihAMRojIv5gZIaJhMBghIv9iASsRDYPBCBH5FwtYiWgYDEaIyL/YTUNEw2AwQkT+xW4aIhoGgxEi8h+rFejokG6zm4aIBsFghIj8Rw5EAHbTENGgGIwQkf/I3SsGg/TjLXbTEEUEBiNE5D8jKV4FmBkhihAMRojIf0ZSvOr4PGZGiMIagxEi8p+RzDECOBewiqIybSKioMNghIj8R6luGosFMJmUaRMRBR0GI0TkPyPtpomPd90WEYUdBiNE5D8j7abRaICEBOdtEVHYYTBCRP4z0m4agCNqiCIAgxEi8h+5a8XXzAjAETVEEYDBCBH5DzMjROQBBiNE5D8jLWB1fC4zI0Rhi8EIEfnPSAtYAV4sjygCMBghIv9hNw0ReYDBCBH5D7tpiMgDDEaIyH/YTUNEHmAwQkT+w24aIvIAgxEi8g+LBejqkm5znhEiGgKDESLyj/b2/tvylO6+YDcNUdhjMEJE/iFnMmJiAL3e9+3IWRVmRojCFoMRIvIPJYpXAWZGiCIAgxEi8g8lilcBFrASRQAGI0TkH0rMMeL4/LY2QBRHti0iCkoMRojIP5TuprFa+0fnEFFYYTBCRP6hVDdNXByg0Thvk4jCCoMRIvIPuZtmpJkRQeBcI0RhjsEIEfmHUpkRx20wM0IUlnwKRjZu3Ij8/HxER0ejuLgYu3btGnTd3bt3Y/78+UhJSUFMTAymTJmC3/zmNz43mIhChFIFrADnGiEKczpvn7Bt2zasWrUKGzduxPz587F582YsXrwYVVVVyMnJcVk/Li4ODz30EGbMmIG4uDjs3r0bDzzwAOLi4nD//fcr8iKIKAgpVcAKMDNCFOa8zow888wzWL58OVasWIGpU6diw4YNyM7OxqZNm9yuP2vWLHz961/H9OnTkZeXh29+85u48cYbh8ymEFEYULKbhnONEIU1rzIjZrMZFRUVWLNmjdPykpIS7Nmzx6NtVFZWYs+ePXjqqacGXcdkMsFkMtnvt/W9AVksFlgsFm+aHJLk1xgJrzWY8LgrS9vSAg2A3thYiEMcU0+OuzY+HhoA1osXYePfRxE839URacfd09fpVTDS1NQEq9WKtLQ0p+VpaWloaGgY8rlZWVm4cOECent78cQTT2DFihWDrrt+/XqsW7fOZfn27dsRGxvrTZNDWnl5udpNiEg87spYeO4cRgH47PhxNJaVDbv+UMf9spYW5AE4XlGB4x5sizzH810dkXLcuzycG8jrmhEAEATB6b4oii7LBtq1axc6OjrwySefYM2aNSgoKMDXv/51t+uuXbsWq1evtt9va2tDdnY2SkpKkKhEyjfIWSwWlJeXY9GiRdCP5AJj5BUed2XpHn0UAHD59ddDnDdv0PU8Oe6anTuB7dsxKT0dBUuW+KW9kYbnuzoi7bi3edi16lUwkpqaCq1W65IFaWxsdMmWDJSfnw8AKCoqwvnz5/HEE08MGowYDAYYDAaX5Xq9PiL+eLJIe73BgsddIX0jX3QpKR5dtXfI456cDADQtrdDy7+Noni+qyNSjrunr9GrAtaoqCgUFxe7pJfKy8sxb4hvPgOJouhUE0JEYYjzjBCRh7zuplm9ejXuuecezJkzB3PnzsXzzz+PmpoarFy5EoDUxVJXV4cXX3wRAPDss88iJycHU6ZMASDNO/KrX/0KDz/8sIIvg4iCiskk/QCcZ4SIhuV1MLJs2TI0NzfjySefhNFoRGFhIcrKypCbmwsAMBqNqKmpsa9vs9mwdu1aVFdXQ6fTYcKECfjZz36GBx54QLlXQUTBxTGDkZAw8u0xM0IU1nwqYC0tLUVpaanbx7Zu3ep0/+GHH2YWhCjSyEFDfDyg1Y58e5xnhCis8do0RKQ8JaeCd9wOu2mIwhKDESJSnpJTwQPspiEKcwxGiEh5So6kAfqDmvZ2wGZTZptEFDQYjBCR8uTuFKUzI6IIdHQos00iChoMRohIeUpnRqKjAZ3OedtEFDYYjBCR8pQuYBUEzjVCFMYYjBCR8pQuYAVYxEoUxhiMEJHylO6mATjXCFEYYzBCRMpTupvGcVvspiEKOwxGiEh57KYhIi8wGCEi5bGbhoi8wGCEiJSn9DwjALtpiMIYgxEiUp4/MiPspiEKWwxGiEh5/ihg5TwjRGGLwQgRKUsUWcBKRF5hMEJEyurpAXp7pdssYCUiDzAYISJlyd0oggDExSm3XRawEoUtBiNEpCzH4lWNgm8x7KYhClsMRohIWf4YSQOwm4YojDEYISJl+WOOEYDdNERhjMEIESnLX5kReXudnYDVquy2iUhVDEaISFn+mGNk4PbYVUMUVhiMEJGy/DHHCAAYDNKP4z6IKCwwGCEiZfmrmwZgEStRmGIwQkTK8lc3jeM2WcRKFFYYjBCRsvzVTQNwrhGiMMVghIiUxW4aIvISgxEiUpa/5hkB2E1DFKYYjBCRsvyZGWE3DVFYYjBCRMryZwGrnG1hZoQorDAYISJlsYCViLzEYISIlMVuGiLyEoMRIlKOKAZmNA27aYjCCoMRIlJOZydgs0m32U1DRB5iMEJEypGDBK0WiIlRfvucZ4QoLDEYISLlOM4xIgjKb5/zjBCFJQYjRKQcf9aLOG6XmRGisMJghIiU4885RgAWsBKFKQYjRKQcf84xAvQHOT09gNnsn30QUcAxGCEi5fi7myYhof92e7t/9kFEAcdghIiU4+9uGr0eiI113hcRhTwGI0SkHH930wAsYiUKQwxGiEg5/u6mATjXCFEYYjBCRMpxnGfEXzjXCFHY8SkY2bhxI/Lz8xEdHY3i4mLs2rVr0HVff/11LFq0CGPGjEFiYiLmzp2L9957z+cGE1EQC0RmhN00RGHH62Bk27ZtWLVqFR577DFUVlZiwYIFWLx4MWpqatyuv3PnTixatAhlZWWoqKjAddddh1tuuQWVlZUjbjwRBRl/F7ACnGuEKAx5HYw888wzWL58OVasWIGpU6diw4YNyM7OxqZNm9yuv2HDBvzwhz/E5ZdfjokTJ+Lpp5/GxIkT8c9//nPEjSeiIMMCViLygc6blc1mMyoqKrBmzRqn5SUlJdizZ49H27DZbGhvb8fo0aMHXcdkMsFkMtnvt/W96VgsFlgsFm+aHJLk1xgJrzWY8LiPnK61FQKA3thYiB4eR2+PuyY+HloA1kuXYOPfymc839URacfd09fpVTDS1NQEq9WKtLQ0p+VpaWloaGjwaBu//vWv0dnZiTvvvHPQddavX49169a5LN++fTti5TkGIkB5ebnaTYhIPO6+K2lsRAyA3QcPorWry6vnenrcpzQ2YjKAmkOHcLCszPtGkhOe7+qIlOPe5eH7gFfBiEwYcDVOURRdlrnz6quv4oknnsBbb72FsWPHDrre2rVrsXr1avv9trY2ZGdno6SkBIn+7IsOEhaLBeXl5Vi0aBH0er3azYkYPO4jp+ubon3+kiVAQYFHz/H2uGuOHQP++lfkJicja8mSEbU3kvF8V0ekHfc2D7tTvQpGUlNTodVqXbIgjY2NLtmSgbZt24bly5fjb3/7G2644YYh1zUYDDAYDC7L9Xp9RPzxZJH2eoMFj7uPbDb7FO36lBRptlQveHzc+7p4NR0d0PDvNGI839URKcfd09foVQFrVFQUiouLXdJL5eXlmDdv3qDPe/XVV/Gtb30Lr7zyCm666SZvdklEocLxWjGcZ4SIvOB1N83q1atxzz33YM6cOZg7dy6ef/551NTUYOXKlQCkLpa6ujq8+OKLAKRA5N5778Vvf/tbXHXVVfasSkxMDJL8+YZFRIElp2OjogA3mU3FcDQNUdjxOhhZtmwZmpub8eSTT8JoNKKwsBBlZWXIzc0FABiNRqc5RzZv3oze3l5873vfw/e+9z378vvuuw9bt24d+SsgouAQiDlGAM4zQhSGfCpgLS0tRWlpqdvHBgYYH330kS+7IApttbXAiRPAxIlAVpbarQmMQMwxAkR2ZiQSzyuKCLw2DZHStmwBcnOBL31J+r1li9otCoxATAXvuP1IC0Yi9byiiMBghEhJtbXA/fdLI0sA6fcDD0jLw10gLpLnuH2zGejp8e++gkUkn1cUERiMECnpxIn+DwyZ1QqcPKlOewIpUJmR+HjXfYa7SD6vKCIwGCFS0sSJwMAJALVajycACxXG1m7sOdUEY2t3/8JABSNaLZCQ4LzPodoVDiLkvKLI5VMBKxENIisLyM8HTp+W7ms0wObNYVVsuO2zGqx9/RBsIqARgPW3F2HZ5TmB66YBpICnvd1pRM2g7QoHWVnA0qXA669L9wUh7M4rimzMjBApyWoFzp/vv79hA7B8uWrNUdrBcy1Y85r0gQ8ANhH40euHpUxEoDIjjvvo26extdseiMjtWvv6ofDKkOgcvjvecktYnVdEzIwQKenUKaCzs/9+CBcYWqw2HDW2oeLsJeyracG+s5dQ1+L64W4VRZxp6kJGoOYZAVzmGqlu6rQHIjKbCNy1+RNcM2kMZueOQnHOaGSPjvHoOlpB6cCB/tvHj6vXDiI/YDBCpCTHDwwA2L9flWb44mKnGfvOXsK+mkuoOHsJB2pb0GNxLpoUAAz4zIdWEJCXGhu4eUYAl8xIfmqc29XOXuzCS5+cxUufnAUApMYbUJw7CsW5yZidk4zCcUmI1mv9396R6ux0DkCOHwe6uoAIuoo5hTcGI0RKkoOPmTOl25WVgCi6Fh+qwNjajeqmTuSnxiEtIRonGjvsgce+s5dwuqnT5TmJ0TrMzk1GcU4yinOTMSN7FN45WI81rx2CCCk4efr2QmQkxajaTZORFIPU+Cg0dUhXDdYKAv578RRkJceg4qz0Go/Ut6Kpw4T3jpzHe0ekrjS9VkDhuCT765udm4y0xGinY5WRFOP/1zOcQ4ek8yg9XRpV09gIHD4MXHGF2i0jUgSDESIlycHIN74BHDwIXLgANDQAGRmqNsuxuBMADDoNTL02l/UmjIlDcW6y/Wd8ajw0GudAatnlOWjpsmD9v45hVs6o/iLRQBawDuimaeux2AOR5+8pRlFWkj2IWFIkHfseixWH61rtwcm+mkto6jCjsqYFlTUteGF3NQBgVIweLd0WAEFUCCufV7NmAb29QHm5tIzBCIUJBiNESpK7aebOBaZMAaqqpA8NFYORgcWdAGDqtSFap8GsnP7AY1bOKIyKjfJom1dPTAX+BZxo7IAoilIdhoqZkSN10u9xo2JQMj3d7VOi9VrMyRuNOXmjAQCiKKLmYpc9O1RxtgXHjG32QAToL9C9ZtIYdTMkjhk3ORgZ2CVIFMIYjBAp5cIFoK5Ouj1jhvTBIQcjixer1ix3xZ0A8MJ9c3D1xDE+bXPi2AREaTVo7+nF2eYu5KXGBe5CeYBLZuRwnfS7cJzn+xYEAbkpcchNicPSWdIQ2fePnsfyP33utJ69QDeYghHHZURhgEN7iZQif1OdMEGalOuyy6T7Kn9ouCvu1AoCJoyNd7O2Z6J0GkzJkCYeO1zfF4SoWMAqt6Ewc2T7npaZiAG9UhAAqUBXLVar1OUHSOeUfF4dOOA6KytRiGIwQqQUORiZOdP5t8rp9NpLzsNxtYLQX3Q6AoXjpA/+Q3Wt0rf1ri7pARW6aQ7JmZGskQUjGUkxWH97EbQOBcfxBh1Gx3nWfeUXJ08C3d3SyJmCAmDyZMBgkEbYyJPrEYU4dtMQKcUxlQ70f4M9flz64IhzP/zU35776BQA4NaZGbjr8lzkpcYq0uVQ1BeMHK5rdZ6WPcDdNB2mXlT3jQSS2zQSyy7PwTWTxuDE+Xb8118P4kKHCW/sq8NdV6hUxCqfVzNmSFPAA0BREfD559JjnBKewgAzI0RKkT805CAkLU0qXBVFaWimCo41tOH9Y40QBGDVDZMxd0KKYrUP/cFIG0S5XiQmBtDrFdn+kBwyI0fqWiGKQEZSNFLjDYpsPiMpBtdMGosHFo4HAGzeeRpWd4U3gTAwyAWCpguQSCkMRoiU0NMDHDsm3Xb80JBvq/ShsXmHlMZfUpgx6MRgvpqUJhWxtnZbcM54SVoYiKyI437a2vq7aBTIigx01xU5SIrRo7qpE+8daVB8+x5xF4wESRcgkVIYjBApoapKqpsYPdr54mUqBiPnLnbhHwfqAQAPXjtB8e1H6TSYnC4VsR6qbZEWBqJ41XE/ra32kTRKdNEMFG/Q4b65uQCATR+dgiiqkB0ZKhhhZoTCBIMRIiU4dtE4zraq4ofG73dJXQsLJqb6JWsAOBSxNvYVyaqYGfFHMAIA35qfj2i9BofqWrH7ZJNf9jGohgbpR6OR6kRkM2ZIv2trgebmwLaJyA8YjBApYeBIGpnct3/woDREM0CaOkzY9tk5AP7JisjsdSMtfROFBSoY6cuMdGijcPqCVLzqr4BrdFwU7uqbgXVTXzFwwMjn1cSJztehSUwExo93XocohDEYIVKCu1Q6II10iI2VhmaeOBGw5mz9+AxMvTZclj0Kc8en+G0/cjByqEsjXUAvUN00cXGAIKBq7HiIANITozEmQZniVXdWLMiHTiNgz6lm7D/X4rf9uBjsvHJcxq4aCgMMRohGShT7v53KmRCZVtufUg/QN9j2Hgv+tPcMAODBhROkqdr9ZFJ6PPRaAa02LWoTxwYuMyIIQGIiDqdJWR9/ZUVkWcmx+MrMTAD9Q6UDYrCMG8ARNRRWGIwQjdTZs9K05Ho9MHWq6+MB/gb7yqc1aO/pxYQxcSiZlubXfRl0WkxK65uJNb0gcMEIACQlSfuEd9PA++rBhVLg815VA042dvh9fwA8y4ywm4bCAIMRopGSPzCmTwei3MzUGcBgpMditV99duXCCS5X3PUHe1dNekHgumkAIDERh9InOLXBnyamJWDRtDSIIrB5RwCyI11dwBdfSLeHCkaqqgCTyf/tIfIjBiNEIzVwsrOBAhiMvFFZhwvtJmQkRePWmeP8vj/AYURNgDMjXaNScGq0NIw6EMEI0F8M/Ob+OtS3dA+z9ggdPixdeyYtDUh3cyXi7Gxg1ChpSHlVlX/bQuRnDEaIRmqofn1AGpKp0fQP0/QTq020f2NfsWA8onSB+fe2j6hJmwAxMXCZkaq08bBptBirtWJsYnRA9jk7JxlX5o+GxSpiS18Gym+G6qIBpLoZdtVQmGAwQjRSw31oxMYCkyZJt/34ofGvw0acae7CqFg97ro822/7GWhyegJ0NisuxSahLiZwwcihZGm4bZGuJ2D7BPqzI6/+pwaXOs3+29Fw55XjYyxipRDHYIRoJFpagDNnpNuDddM4PuanDw1RFO1zYHxrXh7iDIG7Bma0XotJHY0AgMOID9h+D8VLXReF1taA7RMAFk4ag2kZiegyW/Hi3rP+29Fw3X+OjzEYoRDHYIRoJA4elH7n5ADJyYOv5+dvsLtONOFIfRti9FrcNzfPL/sYSlHzGQDAIbP/5voY6HDUaGnfpsDOiioIgj07snVPNbrMvcrvxGbrP7c8yYwcOCANMScKUQxGiEbCk1S64+N+6qaRsyJfvyIHyXFuRvT4WaFRmtDtUKf/R+8AQJe5FycFaUbSojZjQPbpaHFhOnJTYnGpy4K//Oec8js4dQro7JSugix38bkzbZo0pLylBaipUb4dRAHCYIRoJDxJpQP9wcgXX0hDNhVUWXMJe083Q6cRsGJBvqLb9lRhjTSa4/AlS0AuJnfU2AYbBIzpuIi0lvN+399AOq0G918jTcf+wq7TMPfalN2BfF4VFUkT5w0mKqp/bht21VAIYzBCNBLDjaSRpadLQzRtNmnIpoLkrMhts8Yhc1SMotv2iMmEqXXHobVZcbHHCmOr/wtKD9e1AQCKGk4CbW1+3587d8zOwpgEA+pbe+xXR1aMpxk3x3U4ooZCGIMRIl9ZLP2BhTcfGgp+gz3Z2I7tVechCMDKheMV265X2tsR3WvGxCapm0C+iq4/yfsoPK9eMBKt12L51VIm6rkdp2CzKZgR8iUYYWaEQhiDESJfHTsGmM1AQgKQlzf8+n740Hhux2kAQMm0NBSMTVBsu15plQIDuYj1cACCEXkfhQ2n7PtXwzeuzEFCtA4nGztQflTB7iJvghGOqKEwwGCEyFeOF8fTePCvpHAwUt/SjTcr6wBIU7+rpi8zIReS+jsz0mOx4kTftWGKVMyMAEBCtB73XJULANj40Sll6mUaG4H6emlSs6Ki4deXg5HqalUDM6KRYDBC5Ctvvr0C/R8aBw8CVuuId//7XafRaxMxd3wKZuUMMazY3/o+AAv7htgermv1axFrlbENVpuI1Ggt0tubVf8A/vb8fBh0Ghw414JPTl8c+QblILegAIj3YN6WlBRpanigfzgwUYhhMELkK09H0sgmTZKGanZ2SkM3R+Bip9k+pLT0OhWzIoA9MzENndBqBDR1mNHQ5r8iVnsXTXocBABob5cKg1UyJsGAO+dIwcAmJS6g522QC7CrhkIegxEiX4ii5yNpZFptf9p9hCMf/rTnDLotVhSOS8TVBakj2taI9QUj0fGxmDhW+iZ/qNZ/2Qp520XZfdkgUZQCPBXdf814aDUCdh6/MPKaGW/PK8d1OaKGQhSDESJf1NcDTU1SgDF9uufPU6BupNPUiz/tPQMAeHBhAQQhMBONDUruJklMtF/B159FrPaRNLkpgE7n3AaVZI+Oxc0zMgBII2tGxJfMCEfUUIhjMELkC/lNf/JkqevFUwp8aPzls3No6bIgLyUWXy50c2n5QJMLSJOS7Ffw9VcRq1PxatYoIDHRuQ0qkouIyw4ZcabJx0xNd7c0SgvwrZvm8GGg1w/T0xP5GYMRIl/4kkp3XN/HYMTca8MLu6ThvA8snACtRuWsCNAfCCQmonCcFBwcqmvzSxHr0b7i1ZS4KGQkRQdVMDI1IxHXTR4Dmwhs3nnat40cOSIVN48ZA2RkeP688eOlYleTSZrllyjEMBgh8oUvqXRAqhkRBKmbp7HR692+ub8OxtYejE0w4PbZ47x+vl/IXSRJSZiWkQSNADR1mNDYblJ8V4frpaCjcFyS1D2VlOTcBpWVXlcAAHitohaNvhTxOp5X3nS/aTQsYqWQxmCEyBfejqSRxcdLQzYBr4sNbTbRXo+wYkE+DLohrlkSSA6ZkZgoLQr8WMR6WC5e7esOCqbMCABcnjcac3KTYbbasOXjau834Ot55fgcBiMUghiMEHmrowM4eVK67cuHho9dNdurzuP0hU4kRuvw9StyvN+vvzgUsAKwF7H6o27EXrza1x1kD0aCJDMCAA9eK9WO/PmTGrR2W7x7sq8ZN8fncEQNhSCfgpGNGzciPz8f0dHRKC4uxq5duwZd12g04u6778bkyZOh0WiwatUqX9tKFBwOHZKGk2ZkSBe/85YPwYgoivY5LO6dm4eEaL33+/UXhwJWoD9rofSImh6LFcfPtwPoD3js3TRBkhkBgOsmj8XktAR0mHrx8idnPX+izeZ7LZLjc/bvl85PohDidTCybds2rFq1Co899hgqKyuxYMECLF68GDU1NW7XN5lMGDNmDB577DFc5su3SKJgM5JUOuDTN9i9p5px4FwLovUafHt+nm/79ReHbhoAfhtR80VDO3ptIpJj9RgnX504yLppAECjEezZkT/srkaPxcPZdqurpaybwSCN0vJWYaFUO3LhAmA0ev98IhV5HYw888wzWL58OVasWIGpU6diw4YNyM7OxqZNm9yun5eXh9/+9re49957kSR/iyEKZSP59ur4vGPHpKGcHpCzIsvmZCMl3uDbfv1lQDfNtMxEaASgsd3kWxHnIPq7aJL651YJsgJW2c0zMpCVHIPmTjP+9vk5z54kB7lFRf3zp3gjJqY/iGFXDYUYr854s9mMiooKrFmzxml5SUkJ9uzZo1ijTCYTTKb+Svy2vm89FosFFouXfbAhSH6NkfBag4mnx11bWQkNgN7CQoi+/I1SU6EbMwbChQvoPXAAYnHxkKsfrmvDrhNN0GoEfGtuTtCdF7q2NggALLGxgMUCvQCMT43DyQudqKy5iC9NHjPk8z097gfPXQIATM9IsK+riYuDFoCtpQXWIDsuy+fnYt3bx7B5xyl8dVYGdNqhv/tpKiqk1zJjhs+vRTtjBjRHj8JaUQHbDTcMuS7fZ9QRacfd09fpVTDS1NQEq9WKtAH95GlpaWhoaPBmU0Nav3491q1b57J8+/btiI2NVWw/wa68vFztJkSkIY+71Yqb9u+HBsCOlhZ0lJX5tI+5mZkYe+ECDr38MmrOD37p+RYT8OJJDQANZo224uDeDxFUl0ITRdzS2goBwAeff46eM2cAAMmi1OY3PvocPac8q18Y7nzfc0wLQICp4STKyk4AAPLPncMMAMbjx/G5j38Lf4m3AvE6LWpbevD959/D1ekiRg2R1LqyvBzpAA7rdKj28bUUGAyYDqDh3XfxuSdX/AXfZ9QSKce9q6vLo/V8yAXCZfppURQVnZJ67dq1WL16tf1+W1sbsrOzUVJSgkS5jziMWSwWlJeXY9GiRdDrg6hQMcx5dNy/+AI6sxliTAyuWb5cmg7eB5qdO4EDBzDDZkPhkiVu1/lbRS3WvVUFW99n+bwZBVjSN49F0OjuhqZvxs8vLV0KJCQAAM7vOYvP/vUFzHHpWLJk1pCb8OS4m3ptePQ/7wMQce/N1yIrWaoZES5eBH7/e2TExmLJIMdRTdvb96P8aCPK67V43wg8des0fK04y+26uoceAgBMu/tuTJ03z6f9CTod8OKLyLxwYdjjwfcZdUTacW/zsJ7Lq2AkNTUVWq3WJQvS2Njoki0ZCYPBAIPB9SuEXq+PiD+eLNJeb7AY8rgfOQIAEGbMgD462vedzJ4NANAePAitm30ZW7vxY4dABACe/bAaX78yDxlJXkw/728XL0q/BQH6UaOkAkoAM3NGAwCqjO0en8NDHfdj51thsYoYFatH3piE/i8/o6X9aNrboQmy/xVjazfeP9Y/sZ1NBH7y1lFcNzXd9W/Y1ATU1gIAdLNnA76+ljlzAADCiRPQm81AXNywT+H7jDoi5bh7+hq9KmCNiopCcXGxS3qpvLwc83yM5IlCykhH0sgcR9TYbC4PVzd1OgUiAGAVRZxp8izlGTBy4WhCgj0QAYDpmYkQBKChrQcXFJiJVS5eLXIsXgWCcp4RmVd/Q7ngdMIEe3bJJ2lp0o8oSkPQiUKE16NpVq9ejRdeeAF/+MMfcPToUTzyyCOoqanBypUrAUhdLPfee6/Tc/bv34/9+/ejo6MDFy5cwP79+1FVVaXMKyAKpJGOpJFNniwN4ezoAE67XsckPzXOZTZwrSAgLzXIaqYGzDEiizPoMD5V+lauxHwjjiNpnAThPCOy/NQ4DLx0kEaA+7/hSCY7G4iTn1EI8joYWbZsGTZs2IAnn3wSM2fOxM6dO1FWVobc3FwA0iRnA+ccmTVrFmbNmoWKigq88sormDVrVlD27xINS6kPDZ1OGsIJuP3QyEiK6Z/yHFIg8vTthcHVRQO4zDHiSMn5Rg47ZEacBOE8I7KMpBisv70IWoeA5M452e7/hkoFuY7b4LTwFEJ8KmAtLS1FaWmp28e2bt3qsswfV+8kCrjGRmkyKUHoDyRGYuZM4PPPpQ+NO+5weqitx4IvGqTZRp9eWojrpowNvkAEcJljxFHhuCS8ub9+xMGIuddmPxaFmYNkRjo6pKvd+lhQ7C/LLs/BNZPG4JfvHsPrlfVoGGzeFSUzI7xGDYUgXpuGyFPyt9eCAumCdyM1xDfYdw83wNRrQ8HYeHz9ipzgDESAQbtpAOWmhT9+vh1mqw1JMXpkjx5wHByDoPb2Ee3HXzKSYvDQlyYCAHadaHKtoenpAY4elW4rmRk5dEgK0IhCAIMRIk8p+e3VcTtugpE3K+sAAEtnjVN02LzihuimmT4uCYIAGFt70NThexGr48XxXI6FwQBERTm3JQiNHxOPy7JHwWoT8fbBeucHq6qA3l4gJQUYN27kO5s0SZqNtbMTOHVq5NsjCgAGI0SeUmokjWzGDOl3ba00tLOPsbUbe083AwBunZmpzL78Re6mcZMZiTfokN9XxDqSrppBi1dlQTol/EBL+/6Wb/QFmnaOQa4SgadWK12nxnHbREGOwQiRp5QsMgSkIZwTJjhvG8Bb++shisCV+aORlRxko2cGGiIzAvTXeByu9T1QGLR4VRbERayObrksE1qNgIO1rTjZ2NH/gNJBLsARNRRyGIwQeaK7W7qwHaBcMOK4rb4PJFEU8ca+/i6aoDdEASsw8hE15l4bjhnbnbblIojnGnGUEm/AwknSdXredMyOKN3957gtZkYoRDAYIfLEkSNSMWBKCpCpYNfJgA+No8Z2fHG+HVE6DRYXZSi3H38ZooAV6O9aOVLvW9biRKNUvJoYrUPO6EGyREE818hAt/UFmG/ur4PNJkqTkymdcQM4ooZCDoMRIk84fmAoWVA6IJ3+5n7pG/MNU8ciKSYEpooepptm+jhpeV1LNy52mr3e/GGHepFBC3lDpJsGABZNTUO8QYfaS92oqLkEnDkjtTsqCpgyRbkdyfVI9fXAhQvKbZfITxiMEHnCH6l0x+0dPQprVzfe6gtGbpsZAl00wLDdNInR+hEVsR4arl4ECJkCVgCIidLiy4XpAIDX99X1n1eFhb5fj8adhARpCDrAuhEKCQxGiDzhjyJDQBrKmZIC9PZi7479ON9mwqhYPa6dPFbZ/fjLMN00QH9XjS/zjRyqa3PahlshlBkBgNv7umreOVgPU6Ufumhk7KqhEMJghGg4Npt/+vUBqcunb5uv9xU13jwjA1G6EPnXHKabBgCK+rpqDnk5osZiteGoMfyCkSvHpyA9MRptPb348PQlaaE/ghGOqKEQEiLveEQqOnNGmt1T6X592WWXoUtvwHutUpo+JEbRyIaYZ0RW6OOImhPnO2DutSHBoEPuYMWrjvsOgW4aANBqBPv8MW+IfRkwpTNuAEfUUEhhMEI0HPnNfPp0Zfv1ZTNnorzgSnQK0oiR2TnJyu/DH0TRo8yIHIzUtXTjkhdFrHK3zvRxidAMvPytoxDLjADA0tlSwPlhxnS0RMf7JxiRt3n0qDTlPFEQYzBCNBx/ddHIZs7EG9O/BAC4bWZmcE//7qizU+rCAoYMRhKj9chLkTIb3mRHPCpeddx3iGRGAGBKeiKmxAsw6/R4Z/5tQ2aWfJaVBYweLQ1Jr6pSfvtECmIwQjQcf42k6XMhKx+78mcBAJaODaErXMuZCK0WiB16ptjpPnTVDDsNvCyE5hlxdLvQCAB4c9q1/tmBQz0Su2oo2DEYIRqOv0bS9Hm76gKsGi1m1h9DfvVRv+zDLxy7aIbJ5hTZJz/zLBjpdShe9TgzEmLByFdOfQJBtOGz2HScu9jln51wRA2FCAYjREO5dAmoqZFu+ykYkS+ctvTIR6H1oTHMHCOOvJ0W/uSFDph6bYg36JCXEjf0yiFWwCpL3/cJ5p09CGDA9PBK4ogaChEMRoiGIr+J5+UBo0YpvvmTjR04WNsKHUTcfHRnaAUjHswxIpMvmHfuYjdauoYvYpWHAU/PHKZ4FQjNzIjZDFRVYemRDwAAb+yvgyj6oYvOsZvGH9snUgiDEaKh+LmLRv5GvHCsHindbaEZjHiQGUmK1duvLXO4bvigYdgr9TqS99/dDVgsw68fDKqqAIsFX248imi9BqcvdOLgCK5sPKgpU6QRYG1t0hB1oiDFYIRoKH4cSWOzifZr0dw2d4K0sKYGuHhR8X35hQdzjDjypqvGPpImy4tgBAid7Ehf0Bk/bTJKpknTw7/hj66aqChpSDrArhoKagxGiIbix5E0FTWXUHupG/EGHRbNyQfy86UHQuVDw4vMCOD5tPC9VhuqPJl5VabXAzExzm0Kdg7nlTzJ3T8P1MNitSm/L46ooRDAYIRoMGYzcOSIdNsP3TSv75O+CS8uTEe0Xht6HxpeFLACnmdGTl3oRI/FhrgoLfKHK16VhdpcIw7ByNUTU5ESF4XmTjN2n2hSfl8cUUMhgMEI0WCOHZNqEBITpQJWBZl6rXjnYD0Ah+nfQ23kgxcFrABQ2HeNmpqLXWjtGry2Qw5WpmcmDV+8KguluUZE0an7T6/V4JbL+qaH90dXTaidVxSRGIwQDcaxi0bhWVE/PNaItp5eZCRF46rxKf37cdxvsPOym2ZUbBSykqXulMNDzDdy2NPJzhyF0oiamhqgpUXqXpo6FUB/QLq9qgEdpl5l9ydnRs6ckfZLFIQYjBANxo8jaeRvwF+Zmdn/7V8ORqqqpC6iYOdlNw3gWVdNf/Gq59sNqblGHK91FBUFAJiRlYTxY+LQY7Hh3cMNyu4vORnIyZFuMztCQYrBCNFg/DSSpqXLjA+PXQAw4Aq92dnSB4fFEhrXEvGymwYYvojVahNRVe/hzKuOQikz4qYoWhAELJ0pnQt+mQCNXTUU5BiMELkjin4bSfPOISPMVhumZiRiSrrDt/9Qu5aIl900QH+AMVgwcvpCB7otVsRGaZGfGu95W0I8GAGA2/oC049PNaGhVeGr7IbSeUURicEIkTu1tdJ8H1otMG2aopuWv/kunZXp+mAojXzwcp4RoD8YOdPchbYe1yLW/uLVRGg9LV51bEModdMM6P7LHh2Ly/OSIYrAPw4onB0JpfOKIhKDESJ35HT21KlAdLRimz13sQufnbkEQQBunTnOdYVQ+gbrQ2YkOS4K40b1FbG6yY54fKXegUIlM9LS0j8TqptaJDk78kZlvbL7lc+rI0dCZ5ZaiigMRojc8VMXjZwVmT8hFWmJboKcULqWiA8FrMDQXTVeTQPvKFTmGZGD3NxcqT5ogJuLMhGl1eCosQ3HGhQMrPLypGNkNktD1omCDIMRoj7G1h6caBVgbO3xy0gaURTxhjz9+yw3WRFAysTo9dKHqny14GBkswHt7dJtL7ppgP4p3g8NuEaN1SbiiC/Fq45tCPbMyDBF0Umxelw3ZQwAhecc0WiAGTOk233nttP5TqQyBiNEAF7YdRoLf7UTv6vS4tpf78S21r6shYKZkYO1rTh9oRPReg2+XJjufiXHa4kEc1dNR0f/bS8zI4ONqKlu6kSX2YoYvRbjx3hRvOrYhmAPRjzIuMkjrN6qrIfVpmB2zGFEzSufnnU+3z8L4sCXIgKDEYpYpl4r/nXIiG++8Ameeuco5Ld9mwj8aNadMCakKJoZkb/plkxLR7xBN/iKoVA3IneH6PWAweDVUwszpcChuqnTqYhVzopM87Z4FQidAlYPgpHrpoxFYrQODW09+PR0s3L77tvn8WNn8aM3Djud72teO4T3j56HGOxdgxS2hnhHJAo/oijiYG0rXttXi38cqEfLINOSWzVanJx4GTLGjFFkvxarDf88MGD698GEQjDiOMeIl7PTpsQbkJkUjfrWHhypa8OcHCk4OexrFw0QGpkRx2sdDRGMGHRa3DQjE6/+pwZvVNZhXkGqMvu/7DLUJo7Bt3NvcnlIBLD8T5+jYGw8vlqchaWzxrmvaSLyE2ZGKCKcb+vBcztOYdFvduLWZz/Gi3vPoqXLgrREA755VS7cfRHfMO/raO1WZuTB7hNNaO40IyUuCgsmDvPhEgrDMH0YSeNI7qo54jAt/BFju9NjXgmFYOTYMSkgSUqSCliHcPtsKWD91+EGdJutiuz+wKhs3HbvM6hLcA2wBQBRWgEnGzvws38dw9z17+PeP/wH/zhQjx6LMvsnGgozIxS2eixWbK86j9cqarHrxAXI3e8GnQY3Tk/HHcVZuLogFVqNgKJxiVj7+iHYREAjitD1mlERl4E7Nu3BH791ObJHx46oLXIXzS2XZUKnHeY7wMBriYwaNaJ9+4UPc4w4KhqXhO1V5/uG8mbDJgJVxhFkRkKhm8axKHqYbFJxTjKykmNQe6kb/z563n4hPV+9e7gBq7ZVoicuGVMaq7H0ynz8/IzURaMRgPW3F2FxUQbKDhrx2r5afHbmEnYev4Cdxy8gIVqHm2dk4KvFWZidkwxB4es0EQEMRijMiKKIfTWX8PeKOrx9sB7tPf0XHZuTm4yvFmdhyYwMJEbrnZ637PIczM1Pxl/LPsTXn/8tWo9X4zsP/BYnGzuwdOPH+P29czArx3Uopic6TL3YXiVdb0T+xjuk5GTpm/PZs9Loi4ULfdqvX400M2IfUSMFDxd6gE6TFdF6DSaMifN+g3I7zGbAZPK6jiUgvBgurtEIuG3mOPzuw5N4o7LO52BEFEVs2V2Nn5YdhSgCC7vr8eyff4j4CY9h8X99H38t+xB3LrkOOakJAIC7rsjBXVfk4ExTJ17fV4vX9tWhrqUbr/7nHF79zznkp8bh9lnjcHtxln2+GCIlMBihkGZs7UZ1Uydi9Fp8fLIJr+2rQ3VTp/3xcaNicMfscbh9dhbyUof+kMtIisak+F5kVuzBuJ4evHn7BHxnZzOqjG246/lPsGHZTCwuyvC6je8ebkCPxYbxY+I8/9Y/c6YUjOzfH5zBiI9zjMjk41Dd1IkOUy/OdUjftqdlJA6fOXInIcG5bWPH+tQuv/Jy7prbZknByI7jF9DcYUJKvHcBVq/VhnX/rMJLn5wFAHzjyhysO1EFnbkbOHAAGUnRmJgkIiPJtTYkLzUOq0smY9UNk/Bp9UX8vaIW/zpsRHVTJ35dfhzP/Ps45o5PwR2zs7C4KB2t3RZUN3UiPzUOGUkMUsh7DEYoZP3x42o8+c8qDKz/j43SYnFhBu4oHoer8lP6r4rrgbj6egg9PUBcHNJnTMZfp4n4/quV+OBYI0pf2Ye1i6fguwvGe5Wqtk//PnOc58+bORN4663gvbCZDxfJc5Qab0BGUjSMrT2oMrbhXKd0XHzqogGkafvj46Uhx21twReMiKLXF14sGBuPGVlJOFjbircPGnHfvDyPd9dh6sXDr+zDh19cgCAAP1o8FSsW5EP4d98VgT2sR9JoBMydkIK5E1Lw5K3T8e7hBvy9ohZ7TzdjzynpZ+3rB2G2Sv+FcpfPsstzPG4rEcBghEJMe48F/z4q1YHsPuk67PHHN03F16/IQdxQQ2eHkFRdLd0oKgK0WsRrgefvKcaTb1fhxb1n8XTZMZxp7sKTX5nu0Tf4htYefHyqCcAQE525E+wjakbYTQNIharG1h4cqW9HbV8w4lPxqiwxsT8YCTbytY50Oq+udXTbzHE4WNuK1yvrPA5GjK3d+M7Wz3HU2IZovQYbls3Elwv7MnpyPdLJk85zxXggzqDDHcVZuKM4C7WXuvDGvjps+6wGtS39k6bJw4Rjo7RYUpTp/RBtilgcTUNBr9PUi38cqMf9L36O4qf+jUe2HXAbiADA9MwknwMRAEiSrxvi8O1Vp9Vg3Vem4yc3T4MgAK98WoPlf/oc7W4u9DbQPw7UQRSBy/OSvSuCdbyWiNns+fMCZYTdNEB/FuRQXSvO9fWsybOz+iSYp4SXg8pp07yqZ7nlMukD/cC5Fpy+MHzwcKS+Fbc9+zGOGtuQGh+Fv9w/tz8QAaSMUUYGIIoQDh/28kX0y0qOxcPXT8Qvvuo6D48I4OFX9+PKp9/H/7x1GP+pvgibkpO3UVhiMEJBqdtsxTsHjSj9cwWKnyrH91+txPaq8zD3SrUX356f5zIcVysIyEsd2aiXRDkzMiCVLggCll+dj+e+WYxovQY7jl/A157bi/qW7iG3J1/wzKusCCAVsCYlBe+1REbYTQP0ByMffHEBJqsAg06DAm9nXnUUzFPC+3itozEJBvtQ8Df3D33xvA+PNeJrz+3F+TYTCsbG443S+ZiZPcp1xb42CAp0AeaPiXP5PxQAJEbr0NRhwot7z+LOzXsx92fvY90/j6DiLAMTco/BCHmuthb48EPptx/0WKx493ADHnplH2b/bzm+98o+lB2Sij/zUmLx0HUF+NcPFuD91Qvx+C3Tsf72Imj7ajC0goCnby8ccfGcvZtmkJlXb5yejr8+MBdjEgw41tCO25792O0F3wDgWEMbjhrbEKXV4OYiL0dDCEJwzzeiQDfN9HHScztN0jwWU9ITfCtelQXzXCMjuNaRPEnem5V1g86Q+tLeM1j+p8/QZbZi3oQUvPbgvMEzcXIbFAhGMpJiXP4Pf3ZHESp+sghbv305vlqchYRoHc63mfDHj8/gjk17cfXPP8BTb1dh/7kW/8746uf3K1IWa0bIM1u2APffL10gTaMBnn8eWL7cp03JI2DyU+MwOi4Ku4434e2D9fj30UZ0mPqH4mYlx+DmGZm4eUYGpmcmuhR/Lrs8B9dMGoMzTV3IS40deRV/QwOiW1ogCgKEoqJBV5uRNQpvlM7Dd7Z+huPnO3Dn5r34v7tm4YZpaU7ryXOLXDdlDJJi9e42NbSZM4GdO6UPsnvv9f75/jTCeUYAYGxCNNISDTjfZgLQP028z4J5rpERXAW6ZFo64qK0qLnYhX01l1CcO9r+mNUmYn3ZUbywWwqiv1achZ8uLUKUboigTs6MHDwI3Hyz1+0ZaLD/w2snj8W1k8fip0sLsftEE94+aER51XnUt/bghd3VeGF3NbKSY3DTjAzcMiMT0zMT0dDWo8yoHAXfrygwGIyQe6IInD4N7NoFvPsusG1b/2M2m/SPnp8PXHedV9OBb/usxj65GCBNQGbqtdkfz0yKxk0zMnDzjEzMyEoadvRJRlKMYkMJhYMHpRsTJwJxQw8DzkqOxd8fnIfv/Xkfdp1owv0vfY7/uXkavjU/H4D0IfFWpTz9e5ZvDQrmIlYFMiOA1FVzvq0RgBR8jkiwZkZaW6X/JcCnzEhMlBY3Fqbj9X11eH1fnT0Y6TL3YtVf9mN71XkAwP+7cTJKr50w/IgtORg5dAiwKjO76lD/hwadFtdPTcP1U9PQY7Fix/ELePugEe8fPY/aS93YvOM0Nu84jZS4KFzsNEOEj6NyenqAzz4D3n4b+MUv+pfbbMB3vysFJbfeCowePfg2SDU+BSMbN27EL3/5SxiNRkyfPh0bNmzAggULBl1/x44dWL16NY4cOYLMzEz88Ic/xMqVK31uNPmBzSYVS+7cKQUgu3YB9UP0UdtswPXXAykpwNVXSz8LFgCzZ0sXT+vT3GHCkfo2VBnb8PmZS/j30fNOmzH12pAaH4VbLsvEzTMyMSt7lFdDcZUk96GLM2bAkxYkRuvxh29djp+8eRh/+ewcnvhnFc40d+EnN0/Dp6eb0dDWg8Ronf2S8F5zDEZE0etrwPhVkzRCCD3KXX7+F9uPY3S8wfdhoXIwcvCglJrP8jEIVJoc5GZnS/8vPrh9VhZe31eHtw8a8fgt09HSbcaKP32Og7WtiNJq8MuvzcCtMz2sSyooAGJiIHR3I95o9Kk9vorWa3Hj9HTcOD0d3WYrPvyiEW8frMf7R8+jubO/UNsmAv/92iHsPdWMy/NHY1pGIqakJyImStu/sdZW4OOPgd27pfer//xn8GJvUQS+8x3pdmEhcM010vvVggXAOC/rucgvvA5Gtm3bhlWrVmHjxo2YP38+Nm/ejMWLF6Oqqgo5Oa5vItXV1ViyZAm++93v4uWXX8bHH3+M0tJSjBkzBnfccYciL8JXxmOnUX34NPILxyNjyvgg2lY1zldWwzi+GjlFk/zTLrMZ2LdP+ifeuVP6p750yfnJej1w+eXSh+KmTTDGj0Z1cibyL9Ujo70ZiI4GmpuBt96C+NZbOJeUhiM501A1cz6OZE3BEf0onDcN38b/u2uW7xcDq60FTpyQshkj/PARPvkEACDm5Xn8HL1Wg/W3FyE3JQ4/f/cYtu45g9pLXZC7wq+bMhYGnXbojQxm2jRp/oxLl6RvfFdc4dt2ZEodqy1b+r/p33WXlInwIQVubO3G+8ca7fdFEfjR64dxzaQxvmW7Tp2Sfm/bBvztbyNLzSt4XuGjj6Tfkyf7vIm5E1LsXVo/efMwdhy/gIa2HiTH6vH8vXNweZ4X3/a1WmDGDODTTzFu505gyRIpyzkSPhyvmCgtlhRlYElRBj44dh7f2fq5yzpv7q+3F+5qBGCCwYZpHQ2YfvIAph34GNMbTiG5p73/CWlpQHEx8K9/Ob9fdVyUXuPp08Dhw9LPxo3Sc8aP7w9MrrlGCtYGBP4h9/6u0nZGQhC9rCC68sorMXv2bGzatMm+bOrUqbjtttuwfv16l/X/+7//G//4xz9w9OhR+7KVK1fiwIED2Lt3r0f7bGtrQ1JSElpbW5E4wrSwbNszr2BtQwJsGg00NhvWp7dj2eq7Q35boijCJgK9Nhv++tttePx8/7aeFo/jrrh2KQDZuxfoHjASJC4OmDev/5/yiiuAmBi37Xo4tRNZC69C1cFTOHK2GUdNerRro9y2Kb+rGdOie5EzLhXPGTUQHfIOWojYvfZ63z58lOwX3rIF4ooVEACpZuT3v/d6W+8cNOKRv+6H2aHbSRCAn/k6CdSWLcCKFf0b+p//Ae6+W/qbOP5oPCj6HOpYiSLQ1SUFlo4/Fy+6LjMagcpK521rtdJ1dLz80N5zqgl3//5Tl+WvfvcqzJ3gZQahthbIyQEGvp3deKPUrpQU6Wf06P7bjsuiHM5dX8+r3l7pOHZ39/+8+irwv/8rPS4IgA/nlezeLZ9i54km+/3U+Cj8feW8YWcWduvaa4EdOwAAokYDYYT/OyP9PzS2dmP++vdhc3hvECDim0ldONvYjioxFk3R7t/7M61dmJaoxbRJmZg+PRfTMpPw8dY38SN376ONjVImRc4A798vtdtRWpr9PVC8+mr8+f0q/E9jon1bT6W3465VX/cpgxtMnxX+aJM7nn5+exWMmM1mxMbG4m9/+xuWLl1qX/6DH/wA+/fvx46+k9vRNddcg1mzZuG3v/2tfdkbb7yBO++8E11dXdDrXQv7TCYTTKb+r9RtbW3Izs5GU1OTIsGI8Vg1rn3pC9gc3sQF0YalHacRpxMgAhAhQOyLjuX7EPqWA/bIubNXxDsxOU6RtCCKuKGnHlF6DUQANgiw9f0WHW7bIH3wyfd7rMB+/WjnqFwUkd/bDo1Wg14IsEKw/7YKrst6hSE+mEQReqsFBmsv9FYLokQb9Hot9NEG6ONiERUfC71OA71W+onSCdBrNei1ifjg2IVhj6teK2BSog7TzRcx7dwxTK/YgamHP0W8uT/o2TZjEX5040OwarTQ2qz46XvP4s6pydLsmX3HA/Lxdbw98HdnJzQvvQTB4fQVBQHiHXdIGZveXunHau3/Lf8MfKy7G8Lhw05dM6JWi94TJ7z+gP13VSMefHW/0zKNAHz0X9e4nXZ7ULW10BUUQBj4RumGaDA4ByfR0RBjYoDYWOm+KEIoL3d+fQAwaRLQ3g5cvAjB5EEKawi95eUQvZy23tjag2t/vROOIz19OlYAhI8+gq6kxKvnOBLj46XAJD4eOHLE+VgJAkS5Nqq7G0J3txR09PQ4BR5Cb++g27dvy8fzytjag4W/3ukUa/l6rFBbC92ECc7/OwDEmTOlc0ankwJM+bf8o9O5PCaaTND85S8u/4e2b36zv+5KfkwUnW9Deq+EKAKdnfjr0Ut47Mbv2d8bnn7vd1h2sNzevsaEFBy58nocLroKVWPyUSXGoabN8zl4FhRIszFbem0wW22wWEVYzBaYOzph6eqBpccMi9UGs0YHi1b+GbzwXBBF6CBCC/m3DVqXZf2/RasVx3VJLu/vsyzNiNFKQ1s1oggNROl239c2+b7gsNxkseG96HEunzs3ddcgVidI//N9z4GIvk8e2P9OAkQIItBpFfFG/IT+910AWpsVH94zBRlTRpgt69PW1obU1NRhgxGvummamppgtVqRluY8aiAtLQ0NDQ1un9PQ0OB2/d7eXjQ1NSEjw/VaH+vXr8e6detclm/fvh2xsSObRwIAzldWw6aZ6LRMFDR4PaHA+425SQaIgoDyGB/6Id1l8wUB1XplskEQBFh0UbDoBjTaBqDdKn0weSEzRsTEJBFZcSLGxYlIiwF0GguAGGDGLNTfNAuXLlxASlUVRldVYWxlJZYdLMc11ftwZlQm8lr6unsOKvTyRBHC3/+uzLasVnz65z+jeYhRNe6caBUw8A9pE4G/ln2IiUmeJyFTDx3CfDeBSK/BAMFqhdbhg08wmaSLw7W09C8bZvsCABw/7txOnQ7mhASnH0t8vNN9iCJmbtrk9OFj02jw/tmz6Ckr8/j1ye7MF7DttPS2K0DEnfk2VH78ASqHf6qT6KYmlAiCy4fi0bvvhiCKiGpvh76jA1Ht7U4/+o4O6bzp6Bh0RlJBFCF88IFX7emNioKo1UI/IPs4kvNKFEd+XgF959aA76ACAEGhQmlBFKF96SWvn3cXgIXVFU7vDa15eTg/Zw6ap03DxcmT0RsXh1wAuQAWowvdvUB9F1DbKaC2U0Bdp4D6LjhlX2W7BpkoUXr1MUC0d9lZURBggQCnqQ+H+sdz9z1REFAZ5UMXtZtPblEQ8HZsrvfbGsCq0eLd18qQNkuZYKSrq8uj9XwqYB1YrS2K4pAV3O7Wd7dctnbtWqxevdp+X86MlJSUKJMZGV+Nn7nJjNxrq0WCQecaQUqt7osw5ahSeryjpxfPR+VDFJy39bDpBJKiddBAhBbOUe3AKFeOflu7LXg8utBpWxqbDb8xHcDYGK3baFsnwOF+/+2mDhMWx1zt9Bo1Niv+escEjMrN6vtmIH07MPfKt20w94r9t60izFYbmjtM+N2Hp52uAaMRgL98b6HX3/bFggJktDdLQQj6vkWtWiUNyxziG5TLsrY2aDZudP1G9uijUtrd4RucONw3vJYWaJcvd96WVosrv/ENn77Bbjzq+m3/ziXXeXesZsyA+PjjTpkRUauFePQoxKws2KxW6Zv5gG4BwfHbet9jgtEIzU9+4vz6NBpYt26FOHlyf9dFXBy0goAYAEO9LVsvuwza0lIIVitErRa2jRvxJR+HHi8BcH9zO17fvhu3l1yN7JSEYZ8zaLusVqd2WTduxMRvf3vI5/TabFIQ19wM4eJF4PhxaFescDmvrE8/Lc1cKmef+rJOYnS0a7dZdLT0jbXvfB/4N1T1vALcn1saDazPPSf9HzpmD202oLdXyvo4Zhnlxy9dgmbDBtf/w+99TyoodpfVdLesrQ2a3/zG+b1Bq0XsBx8gPysL3nwsnr3YhUUbdjtlkQQBWH1DAcbEG/oyvwKitBpE2TPBgsPt/vuXTpzBba+fcXkf/Uf3HoyJN7hmpkX03Yfzcgi40N2LR6Mvc3l/f9x0BIkxeueMuVM2fWB2HWjpseJZQ4HL5853LWcQb9ACguCSxXeX8W83W/GikOWSGfnyHUsUzYx4wqtgJDU1FVqt1iUL0tjY6JL9kKWnp7tdX6fTIWWQynKDwQCDmymT9Xq9224db+UUTcL69M/xo4b4/pRgegeWrX7Qp+2Nf+YVN9taPfwT3TC42datq3/s9XZSAKx3s605V073qV1Zo+Pwo9cPwyqK9gnG5MuOeyw/X+pPfuAB6Q1Nq4WweTO0vvZVz5ql3LZsNogPPGD/IBM2b4beh6K+nFQ91t9e5LdjZW+TXi996I0a5dn20tNdtqW75x7v2iS7/36p6PHkSQgFBdCNsMAzOyUBE5NEZKckjOz/29d2paVJP4A0KkwUXY+VL+fVcH9DLyh2Xjm0a+D57tNrBIDp05X5P5w2TZFjVZCWhJ+5OVa+1G1lpxRh/Z5DLu+jhat/5vW2AKDX7WfFGp+2le12Ww97vZ1pbrYz0sJaR57+T/tUwFpcXIyNciUygGnTpuHWW28dtID1n//8J6qqquzLHnzwQezfv1/VAlZAqiA+c6QaedPzFRlNo9S2ag4dx7uvleHLdyxRpNpasdfY2q3MBGO1tdKFugoKRj5SQcFtWaqr8emf/4wrv/ENn94EHYX7sVKSxWJBWVkZlixZosiXDUUE6XFX7LyCsue7Yq8xSI9VuL+/K/n6BvL481v00l/+8hdRr9eLW7ZsEauqqsRVq1aJcXFx4pkzZ0RRFMU1a9aI99xzj33906dPi7GxseIjjzwiVlVViVu2bBH1er3497//3eN9tra2igDE1tZWb5sbksxms/jmm2+KZrNZ7aZEFB53dfC4q4PHXR2Rdtw9/fz2umZk2bJlaG5uxpNPPgmj0YjCwkKUlZUhN1cqnDEajaipqbGvn5+fj7KyMjzyyCN49tlnkZmZif/7v/9TfY4RIiIiCg4+FbCWlpaitLTU7WNbt251WbZw4ULs27fPl10RERFRmONVe4mIiEhVDEaIiIhIVQxGiIiISFUMRoiIiEhVDEaIiIhIVQxGiIiISFUMRoiIiEhVDEaIiIhIVQxGiIiISFU+zcAaaGLftfw8vRRxqLNYLOjq6kJbW1vwXDgsAvC4q4PHXR087uqItOMuf26Lw1yTNySCkfb2dgBAdna2yi0hIiIib7W3tyMpKWnQxwVxuHAlCNhsNtTX1yMhIQGCIKjdHL9ra2tDdnY2zp07N/Qll0lRPO7q4HFXB4+7OiLtuIuiiPb2dmRmZkKjGbwyJCQyIxqNBllZWWo3I+ASExMj4mQNNjzu6uBxVwePuzoi6bgPlRGRsYCViIiIVMVghIiIiFTFYCQIGQwGPP744zAYDGo3JaLwuKuDx10dPO7q4HF3LyQKWImIiCh8MTNCREREqmIwQkRERKpiMEJERESqYjBCREREqmIwEmR++tOfYt68eYiNjcWoUaPcrlNTU4NbbrkFcXFxSE1Nxfe//32YzebANjTM5eXlQRAEp581a9ao3ayws3HjRuTn5yM6OhrFxcXYtWuX2k0Ka0888YTLeZ2enq52s8LOzp07ccsttyAzMxOCIODNN990elwURTzxxBPIzMxETEwMrr32Whw5ckSdxgYJBiNBxmw242tf+xoefPBBt49brVbcdNNN6OzsxO7du/GXv/wFr732Gv7rv/4rwC0Nf08++SSMRqP958c//rHaTQor27Ztw6pVq/DYY4+hsrISCxYswOLFi1FTU6N208La9OnTnc7rQ4cOqd2ksNPZ2YnLLrsMv/vd79w+/otf/ALPPPMMfve73+Gzzz5Deno6Fi1aZL8OW0QSKSj98Y9/FJOSklyWl5WViRqNRqyrq7Mve/XVV0WDwSC2trYGsIXhLTc3V/zNb36jdjPC2hVXXCGuXLnSadmUKVPENWvWqNSi8Pf444+Ll112mdrNiCgAxDfeeMN+32azienp6eLPfvYz+7Kenh4xKSlJfO6551RoYXBgZiTE7N27F4WFhcjMzLQvu/HGG2EymVBRUaFiy8LPz3/+c6SkpGDmzJn46U9/yq4wBZnNZlRUVKCkpMRpeUlJCfbs2aNSqyLDiRMnkJmZifz8fNx11104ffq02k2KKNXV1WhoaHA69w0GAxYuXBjR535IXCiP+jU0NCAtLc1pWXJyMqKiotDQ0KBSq8LPD37wA8yePRvJycn4z3/+g7Vr16K6uhovvPCC2k0LC01NTbBarS7nclpaGs9jP7ryyivx4osvYtKkSTh//jyeeuopzJs3D0eOHEFKSorazYsI8vnt7tw/e/asGk0KCsyMBIC7orGBP59//rnH2xMEwWWZKIpul1M/b/4OjzzyCBYuXIgZM2ZgxYoVeO6557BlyxY0Nzer/CrCy8Bzluexfy1evBh33HEHioqKcMMNN+Cdd94BAPzpT39SuWWRh+e+M2ZGAuChhx7CXXfdNeQ6eXl5Hm0rPT0dn376qdOyS5cuwWKxuETa5Gwkf4errroKAHDy5El+g1RAamoqtFqtSxaksbGR53EAxcXFoaioCCdOnFC7KRFDHr3U0NCAjIwM+/JIP/cZjARAamoqUlNTFdnW3Llz8dOf/hRGo9F+Im/fvh0GgwHFxcWK7CNcjeTvUFlZCQBObx7ku6ioKBQXF6O8vBxLly61Ly8vL8ett96qYssii8lkwtGjR7FgwQK1mxIx8vPzkZ6ejvLycsyaNQuAVEO1Y8cO/PznP1e5dephMBJkampqcPHiRdTU1MBqtWL//v0AgIKCAsTHx6OkpATTpk3DPffcg1/+8pe4ePEiHn30UXz3u99FYmKiuo0PE3v37sUnn3yC6667DklJSfjss8/wyCOP4Ctf+QpycnLUbl7YWL16Ne655x7MmTMHc+fOxfPPP4+amhqsXLlS7aaFrUcffRS33HILcnJy0NjYiKeeegptbW2477771G5aWOno6MDJkyft96urq7F//36MHj0aOTk5WLVqFZ5++mlMnDgREydOxNNPP43Y2FjcfffdKrZaZSqP5qEB7rvvPhGAy8+HH35oX+fs2bPiTTfdJMbExIijR48WH3roIbGnp0e9RoeZiooK8corrxSTkpLE6OhocfLkyeLjjz8udnZ2qt20sPPss8+Kubm5YlRUlDh79mxxx44dajcprC1btkzMyMgQ9Xq9mJmZKd5+++3ikSNH1G5W2Pnwww/dvo/fd999oihKw3sff/xxMT09XTQYDOI111wjHjp0SN1Gq0wQRVFUKxAiIiIi4mgaIiIiUhWDESIiIlIVgxEiIiJSFYMRIiIiUhWDESIiIlIVgxEiIiJSFYMRIiIiUhWDESIiIlIVgxEiIiJSFYMRIiIiUhWDESIiIlIVgxEiIiJS1f8HjTy23x0xYJsAAAAASUVORK5CYII=\n",
       "text/plain": [
        "<Figure size 640x480 with 1 Axes>"
       ]
@@ -262,7 +307,448 @@
     "\n",
     "state = evecs[1]\n",
     "ChDist = np.array([np.sum((np.abs(state)[np.where(chrgs==r)[0]])**2) for r in range(-N*Ncut,N*Ncut+1)])\n",
-    "plt.plot(np.unique(chrgs),ChDist,'.-')"
+    "plt.plot(np.unique(chrgs),ChDist,'.-')\n",
+    "\n",
+    "plt.grid()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 18,
+   "id": "70fadcc7-e03b-4d9e-92fe-170d66d1d2e5",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/latex": [
+       "Quantum object: dims = [[7, 7, 7], [1, 1, 1]], shape = (343, 1), type = ket\\begin{equation*}\\left(\\begin{array}{*{11}c}(0.003-0.003j)\\\\(4.049\\times10^{-05}-3.740\\times10^{-05}j)\\\\(1.148\\times10^{-07}-1.060\\times10^{-07}j)\\\\(1.286\\times10^{-10}-1.188\\times10^{-10}j)\\\\0.0\\\\\\vdots\\\\0.0\\\\(1.286\\times10^{-10}-1.188\\times10^{-10}j)\\\\(1.148\\times10^{-07}-1.060\\times10^{-07}j)\\\\(4.049\\times10^{-05}-3.740\\times10^{-05}j)\\\\(0.003-0.003j)\\\\\\end{array}\\right)\\end{equation*}"
+      ],
+      "text/plain": [
+       "Quantum object: dims = [[7, 7, 7], [1, 1, 1]], shape = (343, 1), type = ket\n",
+       "Qobj data =\n",
+       "[[2.81177574e-03-2.59687402e-03j]\n",
+       " [4.04924846e-05-3.73976771e-05j]\n",
+       " [1.14751365e-07-1.05981012e-07j]\n",
+       " [1.28611571e-10-1.18781905e-10j]\n",
+       " [0.00000000e+00+0.00000000e+00j]\n",
+       " [0.00000000e+00+0.00000000e+00j]\n",
+       " [0.00000000e+00+0.00000000e+00j]\n",
+       " [4.04924846e-05-3.73976771e-05j]\n",
+       " [1.82671212e-04-1.68709801e-04j]\n",
+       " [1.55541600e-06-1.43653683e-06j]\n",
+       " [3.16145489e-09-2.91982747e-09j]\n",
+       " [2.75375234e-12-2.54329861e-12j]\n",
+       " [0.00000000e+00+0.00000000e+00j]\n",
+       " [0.00000000e+00+0.00000000e+00j]\n",
+       " [1.14751365e-07-1.05981012e-07j]\n",
+       " [1.55541600e-06-1.43653683e-06j]\n",
+       " [2.15776504e-06-1.99284882e-06j]\n",
+       " [1.20045413e-08-1.10870440e-08j]\n",
+       " [1.82738323e-11-1.68771718e-11j]\n",
+       " [0.00000000e+00+0.00000000e+00j]\n",
+       " [0.00000000e+00+0.00000000e+00j]\n",
+       " [1.28611571e-10-1.18781905e-10j]\n",
+       " [3.16145488e-09-2.91982748e-09j]\n",
+       " [1.20045413e-08-1.10870440e-08j]\n",
+       " [5.54375253e-09-5.12004807e-09j]\n",
+       " [2.01786195e-11-1.86363808e-11j]\n",
+       " [0.00000000e+00+0.00000000e+00j]\n",
+       " [0.00000000e+00+0.00000000e+00j]\n",
+       " [0.00000000e+00+0.00000000e+00j]\n",
+       " [2.75375590e-12-2.54333343e-12j]\n",
+       " [1.82738275e-11-1.68771677e-11j]\n",
+       " [2.01786048e-11-1.86363954e-11j]\n",
+       " [2.23784083e-12-2.06683847e-12j]\n",
+       " [0.00000000e+00+0.00000000e+00j]\n",
+       " [0.00000000e+00+0.00000000e+00j]\n",
+       " [0.00000000e+00+0.00000000e+00j]\n",
+       " [0.00000000e+00+0.00000000e+00j]\n",
+       " [0.00000000e+00+0.00000000e+00j]\n",
+       " [0.00000000e+00+0.00000000e+00j]\n",
+       " [0.00000000e+00+0.00000000e+00j]\n",
+       " [0.00000000e+00+0.00000000e+00j]\n",
+       " [0.00000000e+00+0.00000000e+00j]\n",
+       " [0.00000000e+00+0.00000000e+00j]\n",
+       " [0.00000000e+00+0.00000000e+00j]\n",
+       " [0.00000000e+00+0.00000000e+00j]\n",
+       " [0.00000000e+00+0.00000000e+00j]\n",
+       " [0.00000000e+00+0.00000000e+00j]\n",
+       " [0.00000000e+00+0.00000000e+00j]\n",
+       " [0.00000000e+00+0.00000000e+00j]\n",
+       " [4.04924846e-05-3.73976771e-05j]\n",
+       " [1.82671212e-04-1.68709801e-04j]\n",
+       " [1.55541600e-06-1.43653683e-06j]\n",
+       " [3.16145488e-09-2.91982748e-09j]\n",
+       " [2.75375590e-12-2.54333343e-12j]\n",
+       " [0.00000000e+00+0.00000000e+00j]\n",
+       " [0.00000000e+00+0.00000000e+00j]\n",
+       " [1.82671212e-04-1.68709801e-04j]\n",
+       " [4.04644689e-02-3.73718026e-02j]\n",
+       " [4.90236725e-04-4.52768333e-04j]\n",
+       " [1.21541035e-06-1.12251753e-06j]\n",
+       " [1.21892268e-09-1.12576143e-09j]\n",
+       " [0.00000000e+00+0.00000000e+00j]\n",
+       " [0.00000000e+00+0.00000000e+00j]\n",
+       " [1.55541600e-06-1.43653683e-06j]\n",
+       " [4.90236725e-04-4.52768333e-04j]\n",
+       " [1.49274310e-03-1.37865397e-03j]\n",
+       " [1.01889844e-05-9.41024870e-06j]\n",
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+       " [1.28611579e-10-1.18781898e-10j]\n",
+       " [1.14751365e-07-1.05981012e-07j]\n",
+       " [4.04924846e-05-3.73976771e-05j]\n",
+       " [2.81177574e-03-2.59687402e-03j]]"
+      ]
+     },
+     "execution_count": 18,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "symmetric_data[0][1][0]"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 24,
+   "id": "b94380dd-bd75-4435-978b-adf53eb83387",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "def ME(Bra,OP,Ket):\n",
+    "    \n",
+    "    \n",
+    "    \n",
+    "    MatrixElement2 = np.abs((Bra.dag()*OP*Ket).full()[0,0])**2 #e^2, in SI\n",
+    "\n",
+    "    return MatrixElement2"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 34,
+   "id": "c230eab3-d914-4379-8873-e6305643c24a",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "Tp = qt.Qobj(np.diag(np.ones(2 * Ncut + 1 - 1), 1))\n",
+    "Tm = Tp.dag()\n",
+    "CosPhi = (Tp - Tm) / (2*1j)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 35,
+   "id": "123f3f35-3f6c-4ded-b36b-541feb4c4a72",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "0.0"
+      ]
+     },
+     "execution_count": 35,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "ME(symmetric_data[0][1][0],jja.Op(CosPhi,N,0),symmetric_data[2][1][2])"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 33,
+   "id": "812d417c-97b9-461e-8f73-4af1d2ad8e02",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "array([-4.45752331,  2.2094253 ,  2.25507882,  2.25507882,  2.35038947,\n",
+       "        2.35038947,  2.39772538, 11.65443259, 11.65443259])"
+      ]
+     },
+     "execution_count": 33,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "evals"
    ]
   },
   {
@@ -275,19 +761,19 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 31,
+   "execution_count": 75,
    "id": "3b9c1ff5-3a51-4f76-94ac-12464db874c7",
    "metadata": {},
    "outputs": [
     {
      "data": {
       "application/vnd.jupyter.widget-view+json": {
-       "model_id": "35b4393fcf274325b1614c1f42ed3b80",
+       "model_id": "a7180d611d9d47ad80ab72d41a3ed124",
        "version_major": 2,
        "version_minor": 0
       },
       "text/plain": [
-       "  0%|          | 0/3 [00:00<?, ?it/s]"
+       "  0%|          | 0/4 [00:00<?, ?it/s]"
       ]
      },
      "metadata": {},
@@ -300,7 +786,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 29,
+   "execution_count": 77,
    "id": "b6e87631-5ef6-43a3-82b6-de063774ce90",
    "metadata": {},
    "outputs": [
@@ -310,13 +796,13 @@
        "Text(0.5, 1.0, 'H in the symmetric basis')"
       ]
      },
-     "execution_count": 29,
+     "execution_count": 77,
      "metadata": {},
      "output_type": "execute_result"
     },
     {
      "data": {
-      "image/png": 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\n",
       "text/plain": [
        "<Figure size 1300x1300 with 2 Axes>"
       ]
@@ -336,8 +822,8 @@
     "\n",
     "sm = V[0].shape[1]\n",
     "for i in range(1,N):\n",
-    "    ax2.plot(np.arange(0,H.shape[0]),(sm-0.5)*np.ones(H.shape[0]))\n",
-    "    ax2.plot((sm-0.5)*np.ones(H.shape[0]),np.arange(0,H.shape[0]))\n",
+    "    ax2.plot(np.arange(0,H.shape[0]),(sm-0.5)*np.ones(H.shape[0]),'b')\n",
+    "    ax2.plot((sm-0.5)*np.ones(H.shape[0]),np.arange(0,H.shape[0]),'b')\n",
     "    sm = sm + V[i].shape[1]\n",
     "    \n",
     "ax2.set_title('H in the symmetric basis', size = 20)"