diff --git a/examples/ising/ground_state.ipynb b/examples/ising/ground_state.ipynb index c5a71142..a1425d2c 100644 --- a/examples/ising/ground_state.ipynb +++ b/examples/ising/ground_state.ipynb @@ -104,7 +104,7 @@ "name": "stderr", "output_type": "stream", "text": [ - "100%|██████████| 10/10 [00:21<00:00, 2.11s/it]\n" + "100%|██████████| 10/10 [00:20<00:00, 2.08s/it]\n" ] }, { @@ -163,7 +163,7 @@ "name": "stderr", "output_type": "stream", "text": [ - "100%|██████████| 20/20 [07:11<00:00, 21.58s/it]\n" + "100%|██████████| 20/20 [07:08<00:00, 21.44s/it]\n" ] } ], @@ -206,7 +206,7 @@ "outputs": [ { "data": { - "image/png": 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TFT7znJycSuepi2ZdpFu3bg0jIyNkZWXptGdlZT30eHJRURFiYmIQGRn50OV4enqidevWuHDhQqVFWqlUVnpimYmJiUH/kinXFHI2hYwAc0qpKWQE6jenWq2GTCaDXC6HXP7ADu63L9ZoDI1Gg9u3b8PS0lI7hlzR6u+TyB407Vc8eOJYhWXXQPmVMQ/Oe/DgQZw6dQqzZ8/WTiv/w+D1119HdHQ0Ro4cqbOB8+D63z+um5sbRo4ciffeew///ve/Adw7EW3MmDH47rvvMGzYsErXpap1ksvl2svGHvy61sfXuVkXaYVCgW7duiE+Ph7Dhw8HcO8bMj4+HqGhodXO++WXX6KkpASvvvrqQ5dz7do15OTkwNnZWYrYRER1V9MzrjUaCLUCaGVVdWHWGVe6vX8lJSXIzMyEWq1GVlYWYmNjERUVhcGDB2P8+PEV+nfq1Ak3b96s9WHCmTNnokuXLvjtt9/g7++PUaNG4euvv8aoUaOwYMECBAcHw9HREX/++Sd2795d6WHLxtLsr5MOCwvDxo0bsW3bNpw9exZTp05FUVGR9mzv8ePH65xYVm7Tpk0YPnx4hd3RhYWFePvtt/Hf//4XV65cQXx8PIYNG4YOHTogODi4QdaJiKg5iI2NhbOzM9zd3TFw4EAcOnQIa9euxb///e8qC6W9vT3MzKq4PKwKnTt3xoABAxAeHg7g3pb27t27sWbNGuzbtw/9+vWDl5cXXn/9dbi6uuLIkSN1XjepNOstaQAYOXIkbty4gfDwcGRmZsLPzw+xsbHak8nS09Mr7NZIS0vDkSNHsH///grjGRkZ4eTJk9i2bRvy8vLg4uKCAQMGYOnSpbxWmoiohrZu3apzp7CqXLlyBRqNpsoTufLy8ir0r0xsbKzOe7lcjjfeeANvvPFGTeI2mmZfpAEgNDS0yt3bCQkJFdq8vLyqvJjdzMwMP/74o5TxiIiIKtXsd3cTERE1VSzSREREBopFmoiIyECxSBMRERkoFmkioibOkJ7a1Nw19GfNIk1E1ESV3+GqPu4ZTZUr/6wb6m53LeISLCKi5sjIyAg2NjbIzs4GAJibm9f6MYsajQalpaW4e/euXrf3bAiGkFEIgeLiYmRnZ8PGxqbB7komWZE+fvw4nnjiCamGIyKiGih/DkF5oa4tIQTu3LkDMzMzg3qO8v0MKaONjc1Dn/0gJcmKdI8ePTBjxgxER0dr2/bt24dBgwZJtQgiInqATCaDs7MzHBwc9HqesUqlwuHDh/H0008b7ANLDCWjiYlJg9/XW7Ii7e3tDSsrK4SEhGDLli0AgIULF7JIExE1ACMjI70KiJGREcrKymBqamqwRbopZKwvku3cl8lkWLJkCXx9ffHSSy9pH9pNRERE+pFsS7r8AdmzZs2Cra0thg4dijt37kg1PBERUYsjWZG+/0EVEyZMgJWVFSZOnCjV8ERERC2O3kW6oKAAW7ZsQWZmJjw8PODn54cuXbpoH8Y9YsQIjBgxQrKgRERELY3eRfqFF17AiRMn0L17d3z33XdIS0sDALRv3x6+vr7YvXu3ZCGJiIhaIr2LdGJiIhISEtC9e3cAQElJCU6dOoXU1FScOHFCsoBEREQtld5F2sfHB8bGf8+uVCrh7+8Pf39/SYIRERG1dHpfgrVixQqEh4ejpKREyjxERET0P3pvSbu7u6OgoACdO3fGyJEj8eSTT6Jr165wdXWVMh8REVGLpfeW9IsvvogrV67gqaeewtGjRzFhwgS4u7ujTZs2GDBggJQZiYiIWiS9t6RPnz6NxMRE+Pr6atuuXLmClJQUnDx5UpJwRERELZneRbp79+4oKirSaXN3d4e7uzuvjyYiIpKA3ru7Z86ciSVLliAvL0/COERERFRO7y3pl156CQDw6KOPYsSIEQgICEDXrl3RpUsXKBQKyQISERG1VHoX6cuXL+PEiRPam5csX74cV65cgbGxMby8vHhcmoiIqI70LtJubm5wc3PD0KFDtW23b99GamoqCzQREZEEJHsKFgBYWlqid+/e6N27t5TDEhERtUh6nzhGRERE9atFFOl169bB3d0dpqamCAgIwLFjx6rsu3XrVshkMp2XqampTh8hBMLDw+Hs7AwzMzMEBQXhjz/+qO/VICKiFqbZF+ndu3cjLCwMixcvxvHjx+Hr64vg4GBkZ2dXOY+VlRUyMjK0rz///FNn+ooVK7B27VqsX78eSUlJaNWqFYKDg3H37t36Xh0iImpBmn2Rjo6OxuTJkxESEoLOnTtj/fr1MDc3x+bNm6ucRyaTwcnJSftydHTUThNCYM2aNVi4cCGGDRsGHx8fbN++HdevX8c333zTAGtEREQtRZ1OHIuPj0d8fDyys7Oh0Wh0plVXBBtKaWkpkpOTsWDBAm2bXC5HUFAQEhMTq5yvsLAQbm5u0Gg0eOKJJ7B8+XI8/vjjAO5depaZmYmgoCBtf2trawQEBCAxMRGjRo2qvxUiIqIWRe8iHRERgcjISPj7+8PZ2RkymUzKXJK4efMm1Gq1zpYwADg6OuLcuXOVzuPl5YXNmzfDx8cH+fn5WLVqFXr27IkzZ86gXbt2yMzM1I7x4Jjl0x5UUlKi80jPgoICAIBKpYJKpdJ7/epbeTZmrDvmlE5TyAgwp5SaQkagfvLpXaTXr1+PrVu3Yty4cVLmaXSBgYEIDAzUvu/Zsyc6deqEzz77DEuXLtVrzKioKERERFRoP3ToEMzNzfXO2lDi4uIaO8JDNYWMAHNKqSlkBJhTSoaesbi4WPIx9S7SpaWl6Nmzp5RZJNe6dWsYGRkhKytLpz0rKwtOTk41GsPExARdu3bFhQsXAEA7X1ZWFpydnXXG9PPzq3SMBQsWICwsTPu+oKAArq6u6Nu3L+zt7WuzSg1KpVIhLi4O/fv3h4mJSWPHqVRTyAgwp5SaQkaAOaXUFDICQE5OjuRj6l2kJ02ahJ07d2LRokVS5pGUQqFAt27dEB8fj+HDhwMANBoN4uPjERoaWqMx1Go1Tp06hUGDBgEAPDw84OTkhPj4eG1RLigoQFJSEqZOnVrpGEqlEkqlskK7iYmJQX/DlWsKOZtCRoA5pdQUMgLMKSVDz1gf2fQu0nfv3sWGDRtw4MAB+Pj4VAgXHR1d53BSCAsLw4QJE+Dv748ePXpgzZo1KCoqQkhICABg/PjxaNu2LaKiogAAkZGRePLJJ9GhQwfk5eVh5cqV+PPPPzFp0iQA9878njVrFpYtW4ZHH30UHh4eWLRoEVxcXLR/CBAREUlB7yJ98uRJ7Zbk6dOndaYZ0klkI0eOxI0bNxAeHo7MzEz4+fkhNjZWe+JXeno65PK/r0S7desWJk+ejMzMTNja2qJbt244evQoOnfurO0zb948FBUVYcqUKcjLy0OvXr0QGxtb4aYnREREdaF3kT506JCUOepVaGholbu3ExISdN6vXr0aq1evrnY8mUyGyMhIREZGShWRiIiogmZ/MxMiIqKmqk43M8nLy8OmTZtw9uxZAEDnzp0xceJEWFtbSxKOiIioJdN7S/q3335D+/btsXr1auTm5iI3NxerV69G+/btcfz4cSkzEhERtUh6b0nPnj0bQ4cOxcaNG2FsfG+YsrIyTJo0CbNmzcLhw4clC0lERNQS6V2kf/vtN50CDQDGxsaYN28e/P39JQlHRETUkum9u9vKygrp6ekV2q9evQpLS8s6hSIiIqI6FOmRI0di4sSJ2L17N65evYqrV68iJiYGkyZNwujRo6XMSERE1CLpvbt71apVkMlkGD9+PMrKygDcuyXa1KlT8cEHH0gWkIiIqKXSu0grFAp8/PHHiIqKwsWLFwEA7du3bxJPdSIiImoK6nSdNACYm5vD29tbiixERER0n1oV6bCwMCxduhStWrXSefRiZQzlARtERERNVa2KdEpKClQqlfb/VTGkB2wQERE1VbUq0vc/VGPbtm1o166dzhOkAEAIgatXr0qTjoiIqAXT+xIsDw8P3Lx5s0J7bm4uPDw86hSKiIiI6lCkhRCVthcWFvK5ykRERBKo9dnd5SeMyWQyhIeH61xypVarkZSUBD8/P8kCEhERtVS1LtLlJ4wJIXDq1CkoFArtNIVCAV9fX8ydO1e6hERERC1UrYt0+cljISEh+Pjjj2FlZSV5KCIiIqrDzUy2bNkiZQ4iIiJ6QJ3vOPb7778jPT0dpaWlOu1Dhw6t69BEREQtmt5F+tKlSxgxYgROnToFmUymPdu7/EYmarVamoREREQtlN6XYM2cORMeHh7Izs6Gubk5zpw5g8OHD8Pf3x8JCQkSRiQiImqZ9N6STkxMxMGDB9G6dWvI5XLI5XL06tULUVFRmDFjRrW3DSUiIqKH03tLWq1Ww9LSEgDQunVrXL9+HQDg5uaGtLQ0adIRERG1YHpvSXfp0gUnTpyAh4cHAgICsGLFCigUCmzYsAGenp5SZiQiImqR9C7SCxcuRFFREQAgMjISgwcPRu/evWFvb4/du3dLFpCIiKil0rtIBwcHa//foUMHnDt3Drm5ubC1teWjKomIiCSg9zHpO3fuoLi4WPv+zz//xPbt2xEXFydJMCIiopZO7yI9bNgwbN++HQCQl5eHHj164KOPPsKwYcPwz3/+U7KARERELZXeRfr48ePo3bs3AGDPnj1wcnLSbk2vXbtWsoBSWLduHdzd3WFqaoqAgAAcO3asyr4bN25E7969YWtrC1tbWwQFBVXo/9prr0Emk+m8Bg4cWN+rQURELYzeRbq4uFh7Cdb+/fvxwgsvQC6X48knn8Sff/4pWcC62r17N8LCwrB48WIcP34cvr6+CA4ORnZ2dqX9ExISMHr0aBw6dAiJiYlwdXXFgAED8Ndff+n0GzhwIDIyMrSvXbt2NcTqEBFRC6J3ke7QoQO++eYbXL16FT/++CMGDBgAAMjOzjaoJ2NFR0dj8uTJCAkJQefOnbF+/XqYm5tj8+bNlfbfsWMH3nrrLfj5+aFjx474/PPPodFoEB8fr9NPqVTCyclJ+7K1tW2I1SEiohZE77O7w8PDMWbMGMyePRv9+vVDYGAggHtb1V27dpUsYF2UlpYiOTkZCxYs0LbJ5XIEBQUhMTGxRmMUFxdDpVLBzs5Opz0hIQEODg6wtbXFs88+i2XLlsHe3r7SMUpKSlBSUqJ9X1BQAABQqVRQqVS1Xa0GU56NGeuOOaXTFDICzCmlppARqJ98MlH+ZAw9ZGZmIiMjA76+vpDL722UHzt2DFZWVujYsaNkIfV1/fp1tG3bFkePHtX+EQEA8+bNw08//YSkpKSHjvHWW2/hxx9/xJkzZ2BqagoAiImJgbm5OTw8PHDx4kW8++67sLCwQGJiIoyMjCqMsWTJEkRERFRo37lzJ8zNzeuwhkREZCiKi4sxZswY5OfnS7ZHuU6Pqizf1Xu/Hj161CmQIfnggw8QExODhIQEbYEGgFGjRmn/7+3tDR8fH7Rv3x4JCQno169fhXEWLFiAsLAw7fuCggK4urqib9++VW59GwKVSoW4uDj0798fJiYmjR2nUk0hI8CcUmoKGQHmlFJTyAgAOTk5ko9ZqyIdFhaGpUuXolWrVjpFpzLR0dF1CiaF1q1bw8jICFlZWTrtWVlZFf64eNCqVavwwQcf4MCBA/Dx8am2r6enJ1q3bo0LFy5UWqSVSiWUSmWFdhMTE4P+hivXFHI2hYwAc0qpKWQEmFNKhp6xPrLVqkinpKRo97lX95QrQ7njmEKhQLdu3RAfH4/hw4cDgPYksNDQ0CrnW7FiBd5//338+OOP8Pf3f+hyrl27hpycHDg7O0sVnYiIqHZF+tChQ9r/b9u2De3atdMeiy4nhMDVq1elSSeBsLAwTJgwAf7+/ujRowfWrFmDoqIihISEAADGjx+Ptm3bIioqCgDw4YcfIjw8HDt37oS7uzsyMzMBABYWFrCwsEBhYSEiIiLw4osvwsnJCRcvXsS8efPQoUMHnVulEhER1ZXex6Q9PDyQkZEBBwcHnfbc3Fx4eHhArVbXOZwURo4ciRs3biA8PByZmZnw8/NDbGwsHB0dAQDp6ek6f2j885//RGlpKV566SWdcRYvXowlS5bAyMgIJ0+exLZt25CXlwcXFxcMGDAAS5curXSXNhERkb70LtJVnRReWFioc5KVIQgNDa1y93ZCQoLO+ytXrlQ7lpmZGX788UeJkhEREVWt1kW6/IQxmUyG8PBwnUuI1Go1kpKS4OfnJ1lAIiKilqrWRbr8hDEhBE6dOgWFQqGdplAo4Ovri7lz50qXkIiIqIWqdZEuP3ksJCQEH3/8sUHdApSIiKg50fuY9JYtW6TMQURERA/Q+wEbAPDzzz/j1VdfRWBgoPYpUf/3f/+HI0eOSBKOiIioJdO7SH/11VcIDg6GmZkZUlJStA+QyM/Px/LlyyULSERE1FLpXaSXLVuG9evXY+PGjTq3Qnvqqadw/PhxScIRERG1ZHoX6bS0NDz99NMV2q2trZGXl1eXTERERIQ6FGknJydcuHChQvuRI0fg6elZp1BERERUhyI9efJkzJw5E0lJSZDJZLh+/Tp27NiBuXPnYurUqVJmJCIiapH0vgRr/vz50Gg06NevH4qLi/H0009DqVRi7ty5mD59upQZiYiIWiS9i7RMJsN7772Ht99+GxcuXEBhYSE6d+4MCwsLKfMRERG1WHoX6XIKhQKdO3eWIgsRERHdp05FOj4+HvHx8cjOzoZGo9GZtnnz5joFIyIiaun0LtIRERGIjIyEv78/nJ2dIZPJpMxFRETU4uldpNevX4+tW7di3LhxUuYhIiKi/9H7EqzS0lL07NlTyixERER0H72L9KRJk7Bz504psxAREdF99N7dfffuXWzYsAEHDhyAj4+Pzv27ASA6OrrO4YiIiFoyvYv0yZMn4efnBwA4ffq0VHmIiIjof/Qu0ocOHZIyBxERET1A7yIdFhZWabtMJoOpqSk6dOiAYcOGwc7OTu9wRERELZneRTolJQXHjx+HWq2Gl5cXAOD8+fMwMjJCx44d8emnn2LOnDk4cuQI70hGRESkB73P7h42bBiCgoJw/fp1JCcnIzk5GdeuXUP//v0xevRo/PXXX3j66acxe/ZsKfMSERG1GHoX6ZUrV2Lp0qWwsrLStllbW2PJkiVYsWIFzM3NER4ejuTkZEmCEhERtTR6F+n8/HxkZ2dXaL9x4wYKCgoAADY2NigtLdU/HRERUQtWp93dr7/+Ovbu3Ytr167h2rVr2Lt3LyZOnIjhw4cDAI4dO4bHHntMqqxEREQtit4njn322WeYPXs2Ro0ahbKysnuDGRtjwoQJWL16NQCgY8eO+Pzzz6VJSkRE1MLoXaQtLCywceNGrF69GpcuXQIAeHp6wsLCQtun/GYnREREVHt67+4uZ2FhAR8fH/j4+OgUaEOybt06uLu7w9TUFAEBATh27Fi1/b/88kt07NgRpqam8Pb2xr59+3SmCyEQHh4OZ2dnmJmZISgoCH/88Ud9rgIREbVAdS7Sv//+O2JjY/Htt9/qvAzF7t27ERYWhsWLF+P48ePw9fVFcHBwpSe9AcDRo0cxevRoTJw4ESkpKRg+fDiGDx+uc+vTFStWYO3atVi/fj2SkpLQqlUrBAcH4+7duw21WkRE1ALIhBBCnxkvXbqEESNG4NSpU5DJZCgfRiaTAQDUarV0KesgICAA3bt3xz/+8Q8AgEajgaurK6ZPn4758+dX6D9y5EgUFRXh+++/17Y9+eST8PPzw/r16yGEgIuLC+bMmYO5c+cCuHemu6OjI7Zu3YpRo0Y9NFNBQQGsra1x4x1bWClltV6nSHUIvhD9tO8F/v4SHjV+E9Youm9azX1c9iI+VQ+r0C6TAbEm8+Auy6x2/qrWZIemP6I0Eyqdtt0oEk/Iztci5d/+I57EXPU0aDQayOVyyO5LsMZoDYJkv+k17n/F45ikXlDptMXyzXhZflCvcc+LdhihjtLJWW6G/EtMkf9br3FvwAZ9y/5R6bSx8h+xQP5/tRpP4N7XUg05fMu2V9pnkOwoVhh9Wsukf3uqbD3yUXHPW6DsFDYafVjjjA8aXLYCV+BSof0xpONr43f1SHrPePUiHBdeFdrb4BYOGU+vdc5ys9QzcUB0r9BuBDVOGFf+M1MTD/6OuN8vxm/o/I6oSc5yn2hewmea4ZVO+954LtxR/e+IqtTkd0RNM97vP+JJvK0OrXRaffyOUJcU4dJHLyM/P1/n8uS60PuY9MyZM+Hh4YH4+Hh4eHjg2LFjyMnJwZw5c7Bq1SpJwtVVaWkpkpOTsWDB3x+mXC5HUFAQEhMTK50nMTGxwi1Pg4OD8c033wAALl++jMzMTAQFBWmnW1tbIyAgAImJiZUW6ZKSEpSUlGjfl1+ippCVQSGrfZHWCA1K1ZpKp5kYl0EhK6v1mAAgR+VjCgEYQw2lnuOimrxGRvrnlWnUUKnv/eiq1QL3/0kil6uhkOv5OWjKqswrk+mf10iU5634p5OQqfUe10RUnVdADYWRfuOWCXmV42rkGiiM9fx+AFCq1qC0ku+3sjqOW6bRoFRUMq5Mo/fnCwBlanWl45ZCA4WJ/uOqNWqUaiqOa1THcevrd4TQqKv5Wdb/Z64+f0dUNW59/I7QqPXa5q1+WfrOmJiYiMjISLRu3RpyuRxyuRy9evVCVFQUZsyYIWVGvd28eRNqtRqOjo467Y6OjsjMrPwvvszMzGr7l/9bmzGjoqJgbW2tfbm6uuq1PkRE1LLoXaTVajUsLS0BAK1bt8b169cBAG5ubkhLS5MmXTOxYMEC5Ofna19Xr15t7EhERNQE6L27u0uXLjhx4gQ8PDwQEBCAFStWQKFQYMOGDfD09JQyo95at24NIyMjZGVl6bRnZWXBycmp0nmcnJyq7V/+b1ZWFpydnXX6VHXJmVKphFKprND+x8AYWNvU/rjFuFYuGGNmX+m0mzlf4aZQ4/696PcfA9XZuf7Anvbh5o4Y0urvPQRlZSocPvwzevfuDdnt/8NldanOntr7d+zcf1z8wbMcepra43uLiscJAUCR9xkulBVXOu1hvBTW+MbcBUeOHEGvXr1gbPz3t7NJgSsulBboNa6DiQW+t/aodJpJoQcu3M2t9ZjqMjWOnziDb/o9qZOznHFRB1y4M7nW4wKAkBnje/tOlU4zutMRF4pG1ipnamoq/Pz8YGRshO9be1c+7t0uuFD4nF55AWCHXSdAXvFzkJf64kJBr1plvN8nNo9CGJtWmEdWdhcX8ipfl5qItPaExqRVxQkaFS7k/lDrnOVmWrpiutKm4gQhcCGn8nFroia/I2qTs9xgcwcMNHesdJomdzsuaPS7w+TDfkek3b1d44z381JY43urRyqdVh+/I/Ju3ULvNXoNWTWhp9jYWPHVV18JIYT4448/hJeXl5DJZKJ169YiPj5e32El16NHDxEaGqp9r1arRdu2bUVUVFSl/V955RUxePBgnbbAwEDxxhtvCCGE0Gg0wsnJSaxatUo7PT8/XyiVSrFr164aZcrPzxcAxM2bN2u7Og2qtLRUfPPNN6K0tLSxo1SpKWQUgjml1BQyCsGcUmoKGYUQ4ubNmwKAyM/Pl2xMvbekg4ODtf/v0KEDzp07h9zcXNja2mrP8DYEYWFhmDBhAvz9/dGjRw+sWbMGRUVFCAkJAQCMHz8ebdu2RVRUFIB7J8Q988wz+Oijj/D8888jJiYGv/32GzZs2ADg3tnrs2bNwrJly/Doo4/Cw8MDixYtgouLi/Z2qERERFLQu0gDwN27d3Hy5ElkZ2dD88AZikOHDq1TMKmMHDkSN27cQHh4ODIzM+Hn54fY2FjtiV/p6emQy/8+NN+zZ0/s3LkTCxcuxLvvvotHH30U33zzDbp06aLtM2/ePBQVFWHKlCnIy8tDr169EBsbC1PTirvZiIiI9KV3kY6NjcW4ceOQk5NTYZpMJjOY66QBIDQ0FKGhlV8rl5CQUKHt5Zdfxssvv1zleDKZDJGRkYiMjJQqIhERUQV6n909ffp0vPLKK8jIyIBGo9F5GVKBJiIiaqr0LtJZWVkICwurcL0wERERSUPvIv3SSy9VuquYiIiIpKH3Mel//OMfePnll/Hzzz/D29sbJiYmOtMN5a5jRERETZXeRXrXrl3Yv38/TE1NkZCQoHPZlUwmY5EmIiKqI72L9HvvvYeIiAjMnz9f5xImIiIikobe1bW0tBQjR45kgSYiIqonelfYCRMmYPfu3VJmISIiovvovbtbrVZjxYoV+PHHH+Hj41PhxLHo6Og6hyMiImrJ9C7Sp06dQteuXQEAp0+f1plmSPfuJiIiaqr0LtKHDh2SMgcRERE9gGd9ERERGSgWaSIiIgPFIk1ERGSgWKSJiIgMFIs0ERGRgWKRJiIiMlC1ugQrLCysxn15MxMiIqK6qVWRTklJqVE/3syEiIio7mpVpHkDEyIiooaj9x3Hyv3+++9IT09HaWmptk0mk2HIkCF1HZqIiKhF07tIX7p0CSNGjMCpU6cgk8kghADw965utVotTUIiIqIWSu+zu2fOnAkPDw9kZ2fD3NwcZ86cweHDh+Hv74+EhAQJIxIREbVMem9JJyYm4uDBg2jdujXkcjnkcjl69eqFqKgozJgxo8YnmREREVHl9N6SVqvVsLS0BAC0bt0a169fBwC4ubkhLS1NmnREREQtmN5b0l26dMGJEyfg4eGBgIAArFixAgqFAhs2bICnp6eUGYmIiFokvYv0woULUVRUBACIjIzE4MGD0bt3b9jb22P37t2SBSQiImqp9C7SwcHB2v936NAB586dQ25uLmxtbXkzEyIiIglIeu9uOzs7gynQubm5GDt2LKysrGBjY4OJEyeisLCw2v7Tp0+Hl5cXzMzM8Mgjj2DGjBnIz8/X6SeTySq8YmJi6nt1iIioBarTzUzi4+MRHx+P7OxsaDQanWmbN2+uU7C6Gjt2LDIyMhAXFweVSoWQkBBMmTIFO3furLT/9evXcf36daxatQqdO3fGn3/+iTfffBPXr1/Hnj17dPpu2bIFAwcO1L63sbGpz1UhIqIWSu8iHRERgcjISPj7+8PZ2dlgtqAB4OzZs4iNjcWvv/4Kf39/AMAnn3yCQYMGYdWqVXBxcakwT5cuXfDVV19p37dv3x7vv/8+Xn31VZSVlcHY+O+PysbGBk5OTvW/IkRE1KLpXaTXr1+PrVu3Yty4cVLmkURiYiJsbGy0BRoAgoKCIJfLkZSUhBEjRtRonPz8fFhZWekUaACYNm0aJk2aBE9PT7z55psICQkxqD9SiIioedC7SJeWlqJnz55SZpFMZmYmHBwcdNqMjY1hZ2eHzMzMGo1x8+ZNLF26FFOmTNFpj4yMxLPPPgtzc3Ps378fb731FgoLCzFjxowqxyopKUFJSYn2fUFBAQBApVJBpVLVdLUaXHk2Zqw75pROU8gIMKeUmkJGoH7yyUT5Tbdr6Z133oGFhQUWLVokdaYqzZ8/Hx9++GG1fc6ePYuvv/4a27Ztq3BTFQcHB0RERGDq1KnVjlFQUID+/fvDzs4O3377LUxMTKrsGx4eji1btuDq1atV9lmyZAkiIiIqtO/cuRPm5ubVZiEioqahuLgYY8aM0e6FlYLeRXrmzJnYvn07fHx84OPjU6GQRUdHSxLwfjdu3EBOTk61fTw9PfGvf/0Lc+bMwa1bt7TtZWVlMDU1xZdfflnt7u7bt28jODgY5ubm+P7772Fqalrt8n744QcMHjwYd+/ehVKprLRPZVvSrq6uyMjIgL29fbXjNyaVSoW4uDj079+/2j9UGlNTyAgwp5SaQkaAOaXUFDICQE5ODpydnSUt0nrv7j558iT8/PwAAKdPn9aZVl/HZ9u0aYM2bdo8tF9gYCDy8vKQnJyMbt26AQAOHjwIjUaDgICAKucrKChAcHAwlEolvv3224cWaABITU2Fra1tlQUaAJRKZaXTTUxMDPobrlxTyNkUMgLMKaWmkBFgTikZesb6yKZ3kT506JCUOSTVqVMnDBw4EJMnT8b69euhUqkQGhqKUaNGac/s/uuvv9CvXz9s374dPXr0QEFBAQYMGIDi4mL861//QkFBgfbYcZs2bWBkZITvvvsOWVlZePLJJ2Fqaoq4uDgsX74cc+fObczVJSKiZqpO10kbsh07diA0NBT9+vWDXC7Hiy++iLVr12qnq1QqpKWlobi4GABw/PhxJCUlAbh3B7X7Xb58Ge7u7jAxMcG6deswe/ZsCCHQoUMHREdHY/LkyQ23YkRE1GLUqkiHhYVh6dKlaNWqFcLCwqrtWx/HpGvDzs6uyhuXAIC7uzvuPxzfp08fPOzw/MCBA3VuYkJERFSfalWkU1JStKeYV/e8aF4zTEREVHe1KtL3H4c25GPSREREzYGkD9ggIiIi6dT6mHRNNfYxaSIioqau1sek73f8+HGUlZXBy8sLAHD+/HkYGRlpr00mIiIi/el9TDo6OhqWlpbYtm0bbG1tAQC3bt1CSEgIevfuLW1KIiKiFkjvY9IfffQRoqKitAUaAGxtbbFs2TJ89NFHkoQjIiJqyfQu0gUFBbhx40aF9hs3buD27dt1CkVERER1KNIjRoxASEgIvv76a1y7dg3Xrl3DV199hYkTJ+KFF16QMiMREVGLpPdtQdevX4+5c+dizJgxUKlUEELAxMQEEydOxMqVK6XMSERE1CLpXaTNzc3x6aefYuXKlbh48SIAoH379mjVqpVk4YiIiFoyvYt0ZGRktdPDw8P1HZqIiIhQhyK9d+9enfcqlQqXL1+GsbEx2rdvzyJNRERUR3oX6coesFFQUIDXXnsNI0aMqFMoIiIikvje3VZWVoiIiMCiRYukHJaIiKhFkvwBG/n5+cjPz5d6WCIiohZH793da9eu1XkvhEBGRgb+7//+D88991ydgxEREbV0ehfp1atX67yXy+Vo06YNJkyYgAULFtQ5GBERUUund5G+fPmylDmIiIjoAXofk05PT4cQosppREREVDd6F2kPD49KH7CRk5MDDw+POoUiIiKiOhRpIQRkMlmF9sLCQpiamtYpFBEREelxTDosLAwAIJPJsGjRIpibm2unqdVqJCUlwc/PT7KARERELVWti3T5ncaEEDh16hQUCoV2mkKhgK+vL+bOnStdQiIiohaq1kX60KFDAICQkBB8/PHHsLKykjwUERER1eESrC1btkiZg4iIiB5QqyIdFhaGpUuXolWrVtpj01WJjo6uUzAiIqKWrlZFOiUlBSqVSvt/IiIiqj+1KtLlx6Mf/D8RERFJT+9j0lXt7pbJZDA1NUWHDh0wbNgw2NnZ6R2uLnJzczF9+nR89913kMvlePHFF/Hxxx/DwsKiynn69OmDn376SaftjTfewPr167Xv09PTMXXqVBw6dAgWFhaYMGECoqKiYGys90dJRERUKb0rS0pKCo4fPw61Wg0vLy8AwPnz52FkZISOHTvi008/xZw5c3DkyBF07txZssA1NXbsWGRkZCAuLg4qlQohISGYMmUKdu7cWe18kydPRmRkpPb9g9eBP//883BycsLRo0eRkZGB8ePHw8TEBMuXL6+3dSEiopZJ7zuODRs2DEFBQbh+/TqSk5ORnJyMa9euoX///hg9ejT++usvPP3005g9e7aUeWvk7NmziI2Nxeeff46AgAD06tULn3zyCWJiYnD9+vVq5zU3N4eTk5P2df8lZvv378fvv/+Of/3rX/Dz88Nzzz2HpUuXYt26dSgtLa3v1SIiohZG7y3plStXIi4uTqeIWVtbY8mSJRgwYABmzpyJ8PBwDBgwQJKgtZGYmAgbGxv4+/tr24KCgiCXy5GUlIQRI0ZUOe+OHTvwr3/9C05OThgyZIjOXdUSExPh7e0NR0dHbf/g4GBMnToVZ86cQdeuXSsds6SkBCUlJdr3BQUFAACVSqU9Ec8QlWdjxrpjTuk0hYwAc0qpKWQE6ief3kU6Pz8f2dnZFXZl37hxQ1uEbGxsGmULMzMzEw4ODjptxsbGsLOzQ2ZmZpXzjRkzBm5ubnBxccHJkyfxzjvvIC0tDV9//bV23PsLNADt++rGjYqKQkRERIX2Q4cO6exON1RxcXGNHeGhmkJGgDml1BQyAswpJUPPWFxcLPmYehfpYcOG4fXXX8dHH32E7t27AwB+/fVXzJ07F8OHDwcAHDt2DI899pgkQQFg/vz5+PDDD6vtc/bsWb3HnzJlivb/3t7ecHZ2Rr9+/XDx4kW0b99e73EXLFigc6JdQUEBXF1d0bdvX9jb2+s9bn1TqVSIi4tD//79YWJi0thxKtUUMgLMKaWmkBFgTik1hYzAvadASk3vIv3ZZ59h9uzZGDVqFMrKyu4NZmyMCRMmYPXq1QCAjh074vPPP5cmKYA5c+bgtddeq7aPp6cnnJyckJ2drdNeVlaG3NxcODk51Xh5AQEBAIALFy6gffv2cHJywrFjx3T6ZGVlAUC14yqVSiiVygrtJiYmBv0NV64p5GwKGQHmlFJTyAgwp5QMPWN9ZNO7SFtYWGDjxo1YvXo1Ll26BOBegbz/Eiepn4bVpk0btGnT5qH9AgMDkZeXh+TkZHTr1g0AcPDgQWg0Gm3hrYnU1FQAgLOzs3bc999/H9nZ2drd6eXH5RvjDHYiImre9D67u5yFhQV8fHzg4+NT7TXIDalTp04YOHAgJk+ejGPHjuGXX35BaGgoRo0aBRcXFwDAX3/9hY4dO2q3jC9evIilS5ciOTkZV65cwbfffovx48fj6aefho+PDwBgwIAB6Ny5M8aNG4cTJ07gxx9/xMKFCzFt2rRKt5SJiIjqok534IiPj0d8fDyys7Oh0Wh0pm3evLlOwepqx44dCA0NRb9+/bQ3M1m7dq12ukqlQlpamvZAv0KhwIEDB7BmzRoUFRXB1dUVL774IhYuXKidx8jICN9//z2mTp2KwMBAtGrVChMmTNC5rpqIiEgqehfpiIgIREZGwt/fH87OzpDJZFLmqjM7O7tqb1zi7u4OIYT2vaura4W7jVXGzc0N+/btkyQjERFRdfQu0uvXr8fWrVsxbtw4KfMQERHR/+h9TLq0tBQ9e/aUMgsRERHdR+8iPWnSpIfeB5uIiIj0p/fu7rt372LDhg04cOAAfHx8KlwfFh0dXedwRERELZneRfrkyZPa66BPnz6tM83QTiIjIiJqivQu0ocOHZIyBxERET2gzjczISIiovpRp5uZ5OXlYdOmTdqHWnTu3BkTJ06EtbW1JOGIiIhaMr23pH/77Te0b98eq1evRm5uLnJzc7F69Wq0b98ex48flzIjERFRi6T3lvTs2bMxdOhQbNy4EcbG94YpKyvDpEmTMGvWLBw+fFiykERERC2R3kX6t99+0ynQwL1HVc6bNw/+/v6ShCMiImrJ9N7dbWVlhfT09ArtV69ehaWlZZ1CERERUR2K9MiRIzFx4kTs3r0bV69exdWrVxETE4NJkyZh9OjRUmYkIiJqkfTe3b1q1SrIZDKMHz8eZWVlAAATExNMnToVH374oWQBiYiIWiq9t6QVCgU+/vhj3Lp1C6mpqUhNTUVubi7mzJmD0NBQKTMSERG1SHW+mYm5uTm8vb3h7e0Nc3Nz5OTkYNOmTVJkIyIiatF4xzEiIiIDxSJNRERkoFikiYiIDFStz+5+4YUXqp2el5enbxYiIiK6T62L9MMenmFtbY3x48frHYiIiIjuqXWR3rJlS33kICIiogfwmDQREZGBYpEmIiIyUCzSREREBopFmoiIyECxSBMRERkoFmkiIiIDxSJNRERkoJptkc7NzcXYsWNhZWUFGxsbTJw4EYWFhVX2v3LlCmQyWaWvL7/8UtuvsukxMTENsUpERNTC1PpmJk3F2LFjkZGRgbi4OKhUKoSEhGDKlCnYuXNnpf1dXV2RkZGh07ZhwwasXLkSzz33nE77li1bMHDgQO17GxsbyfMTERE1yyJ99uxZxMbG4tdff4W/vz8A4JNPPsGgQYOwatUquLi4VJjHyMgITk5OOm179+7FK6+8AgsLC512GxubCn2JiIik1iyLdGJiImxsbLQFGgCCgoIgl8uRlJSEESNGPHSM5ORkpKamYt26dRWmTZs2DZMmTYKnpyfefPNNhISEQCaTVTlWSUkJSkpKtO8LCgoAACqVCiqVqjar1qDKszFj3TGndJpCRoA5pdQUMgL1k69ZFunMzEw4ODjotBkbG8POzg6ZmZk1GmPTpk3o1KkTevbsqdMeGRmJZ599Fubm5ti/fz/eeustFBYWYsaMGVWOFRUVhYiIiArthw4dgrm5eY3yNKa4uLjGjvBQTSEjwJxSagoZAeaUkqFnLC4ulnzMJlWk58+fjw8//LDaPmfPnq3zcu7cuYOdO3di0aJFFabd39a1a1cUFRVh5cqV1RbpBQsWICwsTPu+oKAArq6u6Nu3L+zt7euct76oVCrExcWhf//+MDExaew4lWoKGQHmlFJTyAgwp5SaQkYAyMnJkXzMJlWk58yZg9dee63aPp6ennByckJ2drZOe1lZGXJzc2t0LHnPnj0oLi6u0SM3AwICsHTpUpSUlECpVFbaR6lUVjrNxMTEoL/hyjWFnE0hI8CcUmoKGQHmlJKhZ6yPbE2qSLdp0wZt2rR5aL/AwEDk5eUhOTkZ3bp1AwAcPHgQGo0GAQEBD51/06ZNGDp0aI2WlZqaCltb2yoLNBERkb6aVJGuqU6dOmHgwIGYPHky1q9fD5VKhdDQUIwaNUp7Zvdff/2Ffv36Yfv27ejRo4d23gsXLuDw4cPYt29fhXG/++47ZGVl4cknn4SpqSni4uKwfPlyzJ07t8HWjYiIWo5mWaQBYMeOHQgNDUW/fv0gl8vx4osvYu3atdrpKpUKaWlpFQ70b968Ge3atcOAAQMqjGliYoJ169Zh9uzZEEKgQ4cOiI6OxuTJk+t9fYiIqOVptkXazs6uyhuXAIC7uzuEEBXaly9fjuXLl1c6z8CBA3VuYkJERFSfmu1tQYmIiJo6FmkiIiIDxSJNRERkoFikiYiIDBSLNBERkYFikSYiIjJQLNJEREQGikWaiIjIQLFIExERGSgWaSIiIgPFIk1ERGSgWKSJiIgMFIs0ERGRgWKRJiIiMlAs0kRERAaKRZqIiMhAsUgTEREZKBZpIiIiA8UiTUREZKBYpImIiAwUizQREZGBYpEmIiIyUCzSREREBopFmoiIyECxSBMRERkoFmkiIiIDxSJNRERkoFikiYiIDFSzLdLvv/8+evbsCXNzc9jY2NRoHiEEwsPD4ezsDDMzMwQFBeGPP/7Q6ZObm4uxY8fCysoKNjY2mDhxIgoLC+thDYiIqKVrtkW6tLQUL7/8MqZOnVrjeVasWIG1a9di/fr1SEpKQqtWrRAcHIy7d+9q+4wdOxZnzpxBXFwcvv/+exw+fBhTpkypj1UgIqIWzrixA9SXiIgIAMDWrVtr1F8IgTVr1mDhwoUYNmwYAGD79u1wdHTEN998g1GjRuHs2bOIjY3Fr7/+Cn9/fwDAJ598gkGDBmHVqlVwcXGpl3UhIqKWqdluSdfW5cuXkZmZiaCgIG2btbU1AgICkJiYCABITEyEjY2NtkADQFBQEORyOZKSkho8MxERNW/Ndku6tjIzMwEAjo6OOu2Ojo7aaZmZmXBwcNCZbmxsDDs7O22fypSUlKCkpET7Pj8/H8C949uGTKVSobi4GDk5OTAxMWnsOJVqChkB5pRSU8gIMKeUmkJG4O/f6UIIycZsUkV6/vz5+PDDD6vtc/bsWXTs2LGBEtVMVFSUdvf7/R577LFGSENERPUpJycH1tbWkozVpIr0nDlz8Nprr1Xbx9PTU6+xnZycAABZWVlwdnbWtmdlZcHPz0/bJzs7W2e+srIy5ObmauevzIIFCxAWFqZ9n5eXBzc3N6Snp0v2hawPBQUFcHV1xdWrV2FlZdXYcSrVFDICzCmlppARYE4pNYWMwL29pI888gjs7OwkG7NJFek2bdqgTZs29TK2h4cHnJycEB8fry3KBQUFSEpK0p4hHhgYiLy8PCQnJ6Nbt24AgIMHD0Kj0SAgIKDKsZVKJZRKZYV2a2trg/6GK2dlZWXwOZtCRoA5pdQUMgLMKaWmkBEA5HLpTvdqtieOpaenIzU1Fenp6VCr1UhNTUVqaqrONc0dO3bE3r17AQAymQyzZs3CsmXL8O233+LUqVMYP348XFxcMHz4cABAp06dMHDgQEyePBnHjh3DL7/8gtDQUIwaNYpndhMRkeSa1JZ0bYSHh2Pbtm3a9127dgUAHDp0CH369AEApKWlaU/iAoB58+ahqKgIU6ZMQV5eHnr16oXY2FiYmppq++zYsQOhoaHo168f5HI5XnzxRaxdu7ZhVoqIiFqUZlukt27d+tBrpB88A08mkyEyMhKRkZFVzmNnZ4edO3fWKZtSqcTixYsr3QVuSJpCzqaQEWBOKTWFjABzSqkpZATqJ6dMSHmuOBEREUmm2R6TJiIiaupYpImIiAwUizQREZGBYpGuJ+vWrYO7uztMTU0REBCAY8eOVdl348aN6N27N2xtbWFra4ugoKBq+zdWzvvFxMRAJpNpL0+rT7XNmJeXh2nTpsHZ2RlKpRKPPfYY9u3bZ3A516xZAy8vL5iZmcHV1RWzZ8/WeeKa1A4fPowhQ4bAxcUFMpkM33zzzUPnSUhIwBNPPAGlUokOHTrU+IE1DZnz66+/Rv/+/dGmTRtYWVkhMDAQP/74o8HlvN8vv/wCY2Nj7T0Z6os+GUtKSvDee+/Bzc0NSqUS7u7u2Lx5s8Hl3LFjB3x9fWFubg5nZ2e8/vrryMnJqbeMUVFR6N69OywtLeHg4IDhw4cjLS3tofN9+eWX6NixI0xNTeHt7V3r30Us0vVg9+7dCAsLw+LFi3H8+HH4+voiODi4wt3KyiUkJGD06NE4dOgQEhMT4erqigEDBuCvv/4yqJzlrly5grlz56J37971mk+fjKWlpejfvz+uXLmCPXv2IC0tDRs3bkTbtm0NKufOnTsxf/58LF68GGfPnsWmTZuwe/duvPvuu/WWsaioCL6+vli3bl2N+l++fBnPP/88+vbti9TUVMyaNQuTJk2q9wJY25yHDx9G//79sW/fPiQnJ6Nv374YMmQIUlJSDCpnuby8PIwfPx79+vWrp2R/0yfjK6+8gvj4eGzatAlpaWnYtWsXvLy86jFl7XP+8ssvGD9+PCZOnIgzZ87gyy+/xLFjxzB58uR6y/jTTz9h2rRp+O9//4u4uDioVCoMGDAARUVFVc5z9OhRjB49GhMnTkRKSgqGDx+O4cOH4/Tp0zVfsCDJ9ejRQ0ybNk37Xq1WCxcXFxEVFVWj+cvKyoSlpaXYtm1bfUUUQuiXs6ysTPTs2VN8/vnnYsKECWLYsGEGlfGf//yn8PT0FKWlpfWa60G1zTlt2jTx7LPP6rSFhYWJp556ql5zlgMg9u7dW22fefPmiccff1ynbeTIkSI4OLgek+mqSc7KdO7cWUREREgfqAq1yTly5EixcOFCsXjxYuHr61uvue5Xk4z/+c9/hLW1tcjJyWmYUJWoSc6VK1cKT09Pnba1a9eKtm3b1mMyXdnZ2QKA+Omnn6rs88orr4jnn39epy0gIEC88cYbNV4Ot6QlVlpaiuTkZJ1HXsrlcgQFBWkfefkwxcXFUKlUkt7/9UH65oyMjISDgwMmTpxYb9nqkvHbb79FYGAgpk2bBkdHR3Tp0gXLly+HWq02qJw9e/ZEcnKydpf4pUuXsG/fPgwaNKjectZWYmKizjoBQHBwcI2/jxuLRqPB7du36/XnR19btmzBpUuXsHjx4saOUqlvv/0W/v7+WLFiBdq2bYvHHnsMc+fOxZ07dxo7mo7AwEBcvXoV+/btgxACWVlZ2LNnT4P+/JTfCKu67zMpfoaa7c1MGsvNmzehVqsrfeTluXPnajTGO++8AxcXlwpfXCnpk/PIkSPYtGkTUlNT6y3X/fTJeOnSJRw8eBBjx47Fvn37cOHCBbz11ltQqVT19otRn5xjxozBzZs30atXLwghUFZWhjfffLNed3fXVmZmZqXrVFBQgDt37sDMzKyRklVv1apVKCwsxCuvvNLYUXT88ccfmD9/Pn7++WcYGxvmr95Lly7hyJEjMDU1xd69e3Hz5k289dZbyMnJwZYtWxo7ntZTTz2FHTt2YOTIkbh79y7KysowZMiQWh960JdGo8GsWbPw1FNPoUuXLlX2q+pnqLpHGz+IW9IG5oMPPkBMTAz27t2rczvSxnb79m2MGzcOGzduROvWrRs7TpU0Gg0cHBywYcMGdOvWDSNHjsR7772H9evXN3Y0HQkJCVi+fDk+/fRTHD9+HF9//TV++OEHLF26tLGjNWk7d+5EREQEvvjiiwrPfm9MarUaY8aMQUREhEE/olaj0UAmk2HHjh3o0aMHBg0ahOjoaGzbts2gtqZ///13zJw5E+Hh4UhOTkZsbCyuXLmCN998s0GWP23aNJw+fRoxMTH1vizD/HOuCWvdujWMjIyQlZWl056VlVXt4yyBe1sAH3zwAQ4cOAAfH5/6jFnrnBcvXsSVK1cwZMgQbZtGowEAGBsbIy0tDe3bt2/UjADg7OwMExMTGBkZads6deqEzMxMlJaWQqFQSJpR35yLFi3CuHHjMGnSJACAt7e39r7x7733nqRP0dGXk5NTpetkZWVlkFvRMTExmDRpEr788st63Qulj9u3b+O3335DSkoKQkNDAdz7+RFCwNjYGPv378ezzz7byCnv/fy0bdtW5xG6nTp1ghAC165dw6OPPtqI6f4WFRWFp556Cm+//TYAwMfHB61atULv3r2xbNkynccNSy00NBTff/89Dh8+jHbt2lXbt6qfoYfVgvs1/m+CZkahUKBbt26Ij4/Xtmk0GsTHxyMwMLDK+VasWIGlS5ciNjYW/v7+BpezY8eOOHXqlPZpYqmpqRg6dKj2zF9XV9dGzwjc2w124cIF7R8QAHD+/Hk4OzvXS4HWN2dxcXGFQlz+h4UwkDv1BgYG6qwTAMTFxVX7fdxYdu3ahZCQEOzatQvPP/98Y8epwMrKqsLPz5tvvgkvLy+kpqZW+6jbhvTUU0/h+vXrOk8LPH/+PORy+UMLUkNqjJ8fIQRCQ0Oxd+9eHDx4EB4eHg+dR5Kfodqf00YPExMTI5RKpdi6dav4/fffxZQpU4SNjY3IzMwUQggxbtw4MX/+fG3/Dz74QCgUCrFnzx6RkZGhfd2+fdugcj6oIc7urm3G9PR0YWlpKUJDQ0VaWpr4/vvvhYODg1i2bJlB5Vy8eLGwtLQUu3btEpcuXRL79+8X7du3F6+88kq9Zbx9+7ZISUkRKSkpAoCIjo4WKSkp4s8//xRCCDF//nwxbtw4bf9Lly4Jc3Nz8fbbb4uzZ8+KdevWCSMjIxEbG1tvGfXJuWPHDmFsbCzWrVun8/OTl5dnUDkf1BBnd9c24+3bt0W7du3ESy+9JM6cOSN++ukn8eijj4pJkyYZVM4tW7YIY2Nj8emnn4qLFy+KI0eOCH9/f9GjR496yzh16lRhbW0tEhISdL7PiouLtX0e/Dn/5ZdfhLGxsVi1apU4e/asWLx4sTAxMRGnTp2q8XJZpOvJJ598Ih555BGhUChEjx49xH//+1/ttGeeeUZMmDBB+97NzU0AqPBavHixQeV8UEMUaX0yHj16VAQEBAilUik8PT3F+++/L8rKygwqp0qlEkuWLBHt27cXpqamwtXVVbz11lvi1q1b9Zbv0KFDlX6fleeaMGGCeOaZZyrM4+fnJxQKhfD09BRbtmypt3z65nzmmWeq7W8oOR/UEEVan4xnz54VQUFBwszMTLRr106EhYXpFCJDybl27VrRuXNnYWZmJpydncXYsWPFtWvX6i1jZfkA6PxMVPb76IsvvhCPPfaYUCgU4vHHHxc//PBDrZbLp2AREREZKB6TJiIiMlAs0kRERAaKRZqIiMhAsUgTEREZKBZpIiIiA8UiTUREZKBYpImIiAwUizQREZGBYpEmIiIyUCzSREREBopFmoharD59+mDWrFl6zy+EwJQpU2BnZweZTIbU1FS9xnzYPDUdc+7cuRg+fHitlk2Gjc+TpmZPJpNVO33x4sVYsmRJw4ShRtOnTx/4+flhzZo12ravv/4aJiYmeo8ZGxuLrVu3IiEhAZ6enmjdunWdx6yL1NRU9OzZs1GWTfWDRZqavYyMDO3/d+/ejfDwcKSlpWnbLCwsKsxTWlpab8+frm9NOXtDs7Ozq9P8Fy9ehLOzs05hrOuYdXHixAlMnTq10ZZP0uPubmr2nJyctC9ra2vIZDKdNgsLC/Tp0wehoaGYNWsWWrdujeDgYAD3tpR69eoFGxsb2NvbY/Dgwbh48aJ27D59+mDGjBmYN28e7Ozs4OTkVGGrfM+ePfD29oaZmRns7e0RFBSEoqIibNiwAS4uLtBoNDr9hw0bhtdffx0AoNFoEBUVBQ8PD5iZmcHX1xd79uzR6V9V9qqWW9NxH9SnTx9Mnz4ds2bNgq2tLRwdHbFx40YUFRUhJCQElpaW6NChA/7zn/9o53nY5wcAt2/fxtixY9GqVSs4Oztj9erVFXbvPuxzftj6vPbaa/jpp5/w8ccfQyaTQSaT4cqVKxWWo9FosGLFCnTo0AFKpRKPPPII3n///Uo/j9deew3Tp09Heno6ZDIZ3N3dtVkfHLM2n3VRURHGjx8PCwsLODs746OPPqrmq/K3a9eu4ebNmwCA/v37w9zcHF5eXkhKSqrR/GSg6vqMTaKmZMuWLcLa2rpC+zPPPCMsLCzE22+/Lc6dOyfOnTsnhBBiz5494quvvhJ//PGHSElJEUOGDBHe3t5CrVZr57OyshJLliwR58+fF9u2bRMymUzs379fCCHE9evXhbGxsYiOjhaXL18WJ0+eFOvWrRO3b98Wubm5QqFQiAMHDmhz5OTk6LQtW7ZMdOzYUcTGxoqLFy+KLVu2CKVSKRISEqrNXt1yazpuZZ+RpaWlWLp0qTh//rxYunSpMDIyEs8995zYsGGDOH/+vJg6daqwt7cXRUVFNfr8hBBi0qRJws3NTRw4cECcOnVKjBgxQlhaWoqZM2fqLLu6z/lh65OXlycCAwPF5MmTRUZGhsjIyBBlZWXimWee0VnOvHnzhK2trdi6dau4cOGC+Pnnn8XGjRsr/Tzy8vJEZGSkaNeuncjIyBDZ2dnarPePWdOvYfk8U6dOFY888og4cOCAOHnypBg8eHCFz6My3333nQAg+vbtKw4ePCjOnz8vgoKCRJ8+faqdjwwbizS1KNUV6a5duz50/hs3bggA4tSpU9r5evXqpdOne/fu4p133hFCCJGcnCwAiCtXrlQ63rBhw8Trr7+uff/ZZ58JFxcXoVarxd27d4W5ubk4evSozjwTJ04Uo0ePrjZ7dcut6bgPenBdy8rKRKtWrcS4ceO0bRkZGQKASExMrHSMBz+/goICYWJiIr788kttn7y8PGFubl6hSFf1Odfmc3qw0N3fVlBQIJRKZZVFuTKrV68Wbm5uVY5Z22y3b98WCoVCfPHFF9ppOTk5wszM7KFFeunSpcLOzk7cuHFD27Z27Vrx+OOP13h9yPDwmDTR/3Tr1q1C2x9//IHw8HAkJSXh5s2b2l3T6enp6NKlCwDAx8dHZx5nZ2dkZ2cDAHx9fdGvXz94e3sjODgYAwYMwEsvvQRbW1sAwNixYzF58mR8+umnUCqV2LFjB0aNGgW5XI4LFy6guLgY/fv31xm/tLQUXbt2rTZ7dcutzbgPun9djYyMYG9vD29vb22bo6MjAGjX/2Gf36VLl6BSqdCjRw/tGNbW1vDy8qp22cDfn3Nd1ud+Z8+eRUlJCfr161fjeR6mttkuXryI0tJSBAQEaNvs7Owq/TwelJqaimHDhqF169batsuXL6NDhw51WANqbCzSRP/TqlWrCm1DhgyBm5sbNm7cqD1+3KVLF5SWlmr7PHgmr0wm0xYjIyMjxMXF4ejRo9i/fz8++eQTvPfee0hKSoKHhweGDBkCIQR++OEHdO/eHT///DNWr14NACgsLAQA/PDDD2jbtq3OMpRKZbXZq1tubcZ9UGXren9b+Zn05etfk8+vpqr6nOuyPvczMzOrdaaHkSpbTaSmpmLevHkV2p5++mlJl0MNiyeOEVUhJycHaWlpWLhwIfr164dOnTrh1q1btR5HJpPhqaeeQkREBFJSUqBQKLB3714AgKmpKV544QXs2LEDu3btgpeXF5544gkAQOfOnaFUKpGeno4OHTrovFxdXfVebl3HramafH6enp4wMTHBr7/+qm3Lz8/H+fPna7ycmq6PQqGAWq2ucpxHH30UZmZmiI+Pr8VaSpOtXPv27WFiYqJzstetW7ce+nncvn0bly5dqrB1npqaCj8/P0nWhRoHt6SJqmBrawt7e3ts2LABzs7OSE9Px/z582s1RlJSEuLj4zFgwAA4ODggKSkJN27cQKdOnbR9xo4di8GDB+PMmTN49dVXte2WlpaYO3cuZs+eDY1Gg169eiE/Px+//PILrKysMGHCBL2WW5dxa6Mmn5+lpSUmTJiAt99+G3Z2dnBwcMDixYshl8sfen37/WPUZH3c3d2RlJSEK1euwMLCosKlUqampnjnnXcwb948KBQKPPXUU7hx4wbOnDmDiRMn6vUZ1PaztrCwwMSJE/H222/D3t4eDg4OeO+99yCXV789deLECRgZGekcevjzzz9x69YtFukmjkWaqApyuRwxMTGYMWMGunTpAi8vL6xduxZ9+vSp8RhWVlY4fPgw1qxZg4KCAri5ueGjjz7Cc889p+3z7LPPws7ODmlpaRgzZozO/EuXLkWbNm0QFRWFS5cuwcbGBk888QTefffdOi1X33Fro6afX3R0NN58800MHjwYVlZWmDdvHq5evQpTU9MaL6sm6zN37lxMmDABnTt3xp07d3D58uUK4yxatAjGxsYIDw/H9evX4ezsjDfffFPvz6Cm2e63cuVKFBYWYsiQIbC0tMScOXOQn59f7TJSU1Ph5eWl85mlpKTAxsZGe2kYNU0yIYRo7BBEROWKiorQtm1bfPTRR3pvwRI1F9ySJqJGlZKSgnPnzqFHjx7Iz89HZGQkgHs3dSFq6VikiajRrVq1CmlpaVAoFOjWrRt+/vlnnUuJiFoq7u4mIiIyULwEi4iIyECxSBMRERkoFmkiIiIDxSJNRERkoFikiYiIDBSLNBERkYFikSYiIjJQLNJEREQGikWaiIjIQLFIExERGSgWaSIiIgP1/4qQtctKWrnSAAAAAElFTkSuQmCC", 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" ] @@ -228,7 +228,13 @@ "source": [ "plt.figure(figsize=(5, 4))\n", "plt.plot(transverse_magnetic_field_space, mag_z_exact, label=\"Exact\", linewidth=3)\n", - "plt.plot(transverse_magnetic_field_space, mag_z_dmrg, label=\"DMRG\", linestyle=\"dashed\", linewidth=3)\n", + "plt.plot(\n", + " transverse_magnetic_field_space,\n", + " mag_z_dmrg,\n", + " label=\"DMRG\",\n", + " linestyle=\"dashed\",\n", + " linewidth=3,\n", + ")\n", "plt.xlabel(\"Transverse magnetic field $h$\")\n", "plt.ylabel(\"Longitudinal magnetisation $m_z$\", rotation=90, labelpad=10)\n", "plt.xlim((0.2, 2))\n", @@ -240,7 +246,13 @@ "\n", "plt.figure(figsize=(5, 4))\n", "plt.plot(transverse_magnetic_field_space, mag_x_exact, label=\"Exact\", linewidth=3)\n", - "plt.plot(transverse_magnetic_field_space, mag_x_dmrg, label=\"DMRG\", linestyle=\"dashed\", linewidth=3)\n", + "plt.plot(\n", + " transverse_magnetic_field_space,\n", + " mag_x_dmrg,\n", + " label=\"DMRG\",\n", + " linestyle=\"dashed\",\n", + " linewidth=3,\n", + ")\n", "plt.xlabel(\"Transverse magnetic field $h$\")\n", "plt.ylabel(\"Transverse magnetisation $m_x$\", rotation=90, labelpad=10)\n", "plt.xlim((0.2, 2))\n",