{ "cells": [ { "cell_type": "markdown", "id": "79fe8249-5ca1-4a80-97da-35ccbe81c177", "metadata": {}, "source": [ "# Tutorial on the Calculation of Tight-Binding Parameters" ] }, { "cell_type": "markdown", "id": "811cd28b-10be-4463-8d71-0542051cd066", "metadata": {}, "source": [ "This notebook provides a guide to the use of the Linear Combination of Atomic Orbitals (LCAO) method as implemented in the QuantumDNA package. The LCAO approach, as parameterized by [Mantela et al.](https://doi.org/10.3390/ma14174930), provides an efficient representation of the electronic properties of DNA molecules based on their atomic configurations.\n", "\n", "The primary input to this method is the atomic geometry of the bases that make up the DNA molecule. These geometries can be obtained from various databases and modeling tools. In this notebook, we present three practical examples that demonstrate how to use QuantumDNA with geometries derived from different sources:\n", "\n", "Examples in this notebook:\n", "\n", "* **Example I: 1BNA Dodecamer**.\n", "Demonstrates the integration of DNA atomic geometries from the Protein Data Bank (PDB), focusing on the well-known 1BNA dodecamer structure.\n", "\n", "* **Example II: Biovia Discovery Studio Geometries**\n", "Explores how geometries generated with Biovia Discovery Studio can be seamlessly integrated into the LCAO workflow.\n", "\n", "* **Example III: PubChem Nucleobase Geometries**\n", "Demonstrates the use of geometries obtained directly from PubChem, highlighting the flexibility of QuantumDNA in handling nucleobase-level data.\n", "\n", "By the end of this notebook, you will have a clear understanding of how to import, process, and use atomic geometries for DNA molecules from different sources, unlocking the full potential of the QuantumDNA package for your research.\n", "\n", "[![Open In Colab](https://colab.research.google.com/assets/colab-badge.png)](https://colab.research.google.com/github/dehe1011/QuantumDNA-notebooks/blob/main/tutorials/1_Tight_Binding_Parameters.ipynb)" ] }, { "cell_type": "code", "execution_count": 1, "id": "5684f112-c537-448d-8a5c-5f6bbddec0f3", "metadata": {}, "outputs": [], "source": [ "%load_ext autoreload\n", "%autoreload 2\n", "\n", "# Save flag: Set to True to enable saving results (currently unused in this script)\n", "save = False\n", "\n", "# Verbose flag: Set to True to enable detailed logging\n", "verbose = False" ] }, { "cell_type": "markdown", "id": "ce2129ac-262b-4b71-8d9e-b0e0ea50a345", "metadata": {}, "source": [ "## Setup" ] }, { "cell_type": "code", "execution_count": 2, "id": "a8e7a35e-08ea-4563-94aa-cf30346c0ec7", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Package 'qDNA' is already installed.\n" ] } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "# --------------------------\n", "# Installation of QuantumDNA\n", "# --------------------------\n", "\n", "from importlib.util import find_spec\n", "\n", "qDNA_installed = find_spec('qDNA') is not None\n", "\n", "if not qDNA_installed:\n", " %pip install qDNA\n", " print(\"Successfully installed the 'qDNA' package.\")\n", "else:\n", " print(\"Package 'qDNA' is already installed.\")\n", "\n", "if verbose:\n", " %pip show qDNA \n", "\n", "from qDNA import *\n", "\n", "# ------------------------\n", "# Directory Setup\n", "# ------------------------\n", "\n", "import os\n", "DATA_DIR_QDNA = DATA_DIR\n", "\n", "# Use the current working directory as the root\n", "ROOT_DIR = os.getcwd()\n", "\n", "# Define directories to load data\n", "DATA_DIR = os.path.join(ROOT_DIR, \"data\")\n", "os.makedirs(DATA_DIR, exist_ok=True)\n", "\n", "# Define directory to save figures\n", "SAVE_DIR = os.path.join(DATA_DIR, \"my_figures\")\n", "os.makedirs(SAVE_DIR, exist_ok=True)\n", "\n", "# Define the directory to load figures\n", "FIG_DIR = os.path.join(DATA_DIR_QDNA, \"raw\", \"figures_tutorials\")\n", "\n", "if verbose:\n", " print(f\"Data directory: '{DATA_DIR}' is ready.\")\n", " print(f\"Save directory: '{SAVE_DIR}' is ready.\")\n", " print(f\"Figures directory: '{FIG_DIR}' is ready.\")" ] }, { "cell_type": "markdown", "id": "7426385f-90d4-448b-8a53-22f91b3e6a08", "metadata": {}, "source": [ "## Example I: 1BNA Dodecamer" ] }, { "cell_type": "markdown", "id": "bc86ba49-a548-4f33-b388-1fbc40060036", "metadata": {}, "source": [ "The [*RCSB Protein Data Bank (PDB)*](https://www.rcsb.org/) is a globally recognized, open-access repository that archives three-dimensional structural data of biological macromolecules, including proteins and nucleic acids. This resource is indispensable across various scientific disciplines, such as molecular biology, computational biology, and structural bioinformatics, facilitating advancements in research and education.\n", "\n", "In this tutorial, we will utilize the *1BNA structure*, which represents a B-form DNA dodecamer with the sequence `5'-D(*CP*GP*CP*GP*AP*AP*TP*TP*CP*GP*CP*G)-3'`. This synthetic DNA fragment has been extensively studied to understand DNA conformation, base pairing, and interactions with various molecules, including proteins and drugs. The high-resolution crystal structure of 1BNA, determined at 1.9 \u00c5, reveals a right-handed double-stranded B helix, serving as a foundational model for DNA structural analysis.\n", "\n", "By integrating the 1BNA structure from the RCSB PDB into our QuantumDNA package, we can effectively demonstrate the application of the Linear Combination of Atomic Orbitals (LCAO) method in analyzing DNA molecules. To prepare this structure for simulations and analysis, we will follow these steps:\n", "\n", "**1. Download the PDB File**\n", " Visit the [1BNA entry on RCSB.org](https://www.rcsb.org/structure/1BNA) and download the file in `.pdb` format. \n", " Save the downloaded file to your designated data directory (`data/my_geometries`).\n", "\n", "**2. Prepare the Structure**\n", " Use *Biovia Visual Studio* (or any molecular modeling tool of your choice) to refine the structure: \n", " Remove the sugar-phosphate backbone and water molecules, include hydrogen atoms and save the modified structure in `.pdb` format.\n", "\n", "**3. Run the Code Below**\n", " Apply the following Python code to process the modified `.pdb` file." ] }, { "cell_type": "code", "execution_count": 3, "id": "6051b309-2d62-4975-bbf2-56e1ead41b63", "metadata": {}, "outputs": [ { "data": { "image/png": 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Vq9W0sbHRsc21tTUtLS2pWq0eSxJI0vLyckfrBQAABioczDjW47ILCwAAQlbMBwAAGBGmx8eYSuT1ycOHDzU/P39sum3bHS0FNjY2VCwWO5bJ5/OS1LGc4zhaWlo6MxnQrWsjAAAGxsrEewAAgJFgZJQ18R5mnH9pAAAgaSwT7zHGEtf1kOu6cl23ozVByLbtjhYFs7Ozmp6e7rqd3d3d6HmpVJIk3b1799R953I53blz5xylBgCgV3Q9BABAEiXybjwAANJuzJMAcSQuUeA4Tuz5W1tbx+aHYwy0t0io1+uSFKtroUqlEqucN2/ePHnm5A9jbQMAkHIMpjR0p8Xv/+MQywEASCaj+L8zEOX759Tv339/eOUAACQYgTl5iYKLKpfLsm1by8vL0bSwdUG3VgoAAFya2C0KAADAqLD4pQEAgGQJxwiMu+yYSlWiYHV1VY7jHGtpYNu26vV61y6NXNfVysrKsW0tLS2d2gLh8ePHJ8577b3/qbeCAwDShwuVS3Fa/H7fvD3EkgAAkoqeC4bvtPhtCv9wiCUBACQW9+klL1Fw1l3/J41JUKvV9ODBA21tbR3bRj6fV71e1+bmZjTYcfv+yuWyXNfVjRs35Lqu9vb2aH0AABgwxigAACBpjOL/zkD0BgBghND1b/JyJbZtK5fLaXt7+9g8x3GO/dAvBWMQVCqVjiRB+1gG9+/fVy6XO3X8gVwuF+2bJAEAYCiMifcAAACjwQQtCuI8yBQAADBCTMzHGEtcokCS7ty503VQY8dxVCwWO6aFSYL19fWO6e1JgVwup/X1dW1sbEQDG3dz1kDKAAD0lbHiPQAAwMiwZGI9AADACOFGveR1PSRJpVJJc3NzchwnGidgbW1N+Xy+o0VBmDhYWFjQ6uqqJGlnZ0eO42h+fr5jm/l8Xuvr6yoWiyqVSlpcXOyYv7a2plu3bmlzc3PAtQMAoIUkAAAAiWIUf4yC8f6pAQCABKHvQEkJTRTYtq1Hjx6pXC5rZmZGOzs7cl1X1Wq1Y7lCoSDHcaIkQbulpaVj0xYWFpTP57WysqJCoaBcLqf5+Xnt7Oxofn5e1WpVtVptYPUCAOBQL3crjPGVCgAACUNUBgAgafj+LSU0USBJs7Ozp44pIKnrOAZnCQcvPkm3MRAAAOg7I8nKxF8WAACMhOyYd0sAAMBYyhC/E5soAABg7NH1EAAAiULXQwAAJJBR/BYFYxzASRQAADCSaPoIAEASkeYHACCB+FpNogAAgFFl6LoAAIDEIXoDAJA8cb9/+wMux2UiUQAAwIgiUQAAQLIEXQ/Fi99EeQAARgeJAhIFAACMJqP4vyDwSwMAACODsAwAQPJwnx6JAgAARhYtCgAASB6iNwAAyRO3RWBzwOW4TCQKAAAYQUbxEwX8IAEAwOggLgMAkCzGmPjfv8f4hj4SBQAAjKhxvgABAGBcEb8BAEge4jeJAgAARlT8Oxq4dxEAgNFBVAYAIHlIFJAoAABgNBnJWDEvVLieAQBgJBgjZeKGb+I3AAAjw4r7/XuMkSgAAGBEcUcDAABJY2RiZ/CJ8wAAjAq+f0vG933/sguRNi8b0q+/cpWxjP7Rf/m25Etf/s1vNfO7b8j3pd/sPNd/ef01+b70n/ZeyrKk77w1pd1v92WM0dXXs3r2oiFJeutKVt+8bMhImpqw1Gj6ymaMXjU8+X4w/9mLhnz5mn5jUpK0++2+3nlrSsZIf/vslX737SnJSH/3bF+WkabfnNTub/clX7r2xqT2frsvX9L1Nw/Xv/bGpHz5+uZFQ29eCfJNv33V0BtTWfm+9PKgKcsYZTJGvu/LmODfcARxr3XaGWOk8Aw06nzeRTC4p+R5wd8Zy6jp+9F0IyNjpIbnK9vKBB40g2NxZSKjlwfB2OThc2Okyawl35eanq+MZeT7kq/DsobvEGOC50c/N9qnNT1fvh+8Fi8PmvJ86c2prL591ZB86a3XgmP1zcuG3rpy/Pm3LxsyRnp9Mqvn+8FrHD73fenNK8HxPTzWvl4eeJqaCOrQ8LyoDiHP95W1LBkjvWp4upK1gvPwwJOMdGXCCp770pVJSy/3Pfny9fpk5+tqzJFyt87BN68E9TOSXp/M6MVBU0ZGk1lLB01PxqjjWLYfv/ZjG5Y1XLbpBeeyJB00fPnyu76G4XNJenXgBa+nfDWawet5dLtHX8+O88t0zg/P04xl1GgGzycywfHbb3qabD0/aHrKZlrnTpdzpH37nidZ1vH6h88tY9T0gj+ymeBr5quGp6msJZmgjlMTrTI0gjfCZMbSQdMP7mCzgvXby2Bk5LfeXO3PLWOiOlom2Fej7bg3mv5hfVv7mpqw9Oqg83n7++ig6UXrhOej1Flvz2u9X9uPd9tx8lvHxrKCZX0F53Cj9cafaDvu3Z6Hr1U2Y7o+z1id9ZaC1zo6ZkfOi7euWBq2mzdv6q/+41Nd/cersZZ/+q+X9d/8g6t6/PjxgEuWcs+fSgcvpexkcJIevJKsjDQxFfzte21vZkvRmR1Oz2SDfxuvJCsrec3DaZK0/1K68nprHb8t4PnB8sYE60jBfqXgb987/FutN1djP9hGdjL4++BVUM7GfrDPMOh6XutvHW7bmMPteM3DDzXTei809oP9hX/7XvC8sX+4v2Yj2H64HWO19tc8rEtU/tYb3litY+G3HcdWvZoHwXq+d1i+9ueS5DWC5X3/8N/24xV96By92PAPtxet1zicb2UOy9RsSNmJI+uGm7OOb9+0tus1W9tp+7QL99H+WoYffNHreXRb4fbN4TH0vcNthtObB53nRLhOWI6wXOF51v5attcnnBaWKVxPavtgb3stww/69nM/3E5Y/nD9sHy+13n8O8rR7YO5fdtHzs3ofDXH92eszvL7/uF64XuhvT4ddTp6/I8cn/Z1ovdNe71by4TveSk4l8JzKzp3dPh3WMaj046+J9s/e8Jtt++v/dxvf890TLPazqcTlouOudVZp0jrHOsof9sy7e/5o+eEaStrtJ6OnHd+5zJH63T0GMpIb+Q0bDdv3tQ3/+5/0f/j6juxlv+/P/1ab/3Xv0/8HrCXzefHpvnye0jonL5Ot+lxtn+eMgxif/08FqNglMuG4RjkOcD5NXhXMq8PfZ83b97UX/2No9f/4L+NtfzzT/+t/pvftccyftOiAACAEWSk2Hc0cKkKAMDoIC4DAJAwpocxAse45QGJAgAARtWQrz8cx1GpVJJt29G0crkce91KpaLr169rZ2dHruuqXC4rl8sNqLQAAIweI2nYQwwRvwEAuLhh//4/ivGbRAEAACNqmH0kuq6rubk5PXnyJLq4WFtbU6FQULVaPXVdx3FULpdVqVQ6pt2+fVtbW1uDLDYAACNnmN1SEL8BAOgPi+/fGn7HywAA4Gytpo9xHv249aFUKimfz3fcgbC4uKharaZarXbqupVKRcVisWOabduybfvMdQEAGDcm5qMfiN8AAPRH7O/ffTCq8ZtEAQAAI2qYFyoPHz7U/Pz8sem2bZ95R0PYzLHb9Onp6b6UDwCApAhz+Gc9+oH4DQDAxYVjBMZ69GF/oxq/SRQAADCqhnRLouu6cl23a3+Gce5KKBaLqtVqmpubU71elyRtbGwol8tpdnb24gUEACBBhtWigPgNAED/DCvRP8rxmzEKAAAYUb20Ftje3tbNmze7znv8+PGp6zqOc6H5+Xxey8vLWl1d1dzcnPL5vAqFgtbX108vNAAAY8ZIsmKmAYyI3wAAjATTw/dvM77xm0QBAAAjyEiyrHgN/4Y35NLJlpaWVK/Xtbu7q1qtps3NTc3Oziqfz1920QAAGCprFAJzTMRvAAAkycT+/j0K38AHFb9JFAAAMIp6vKNhZmbmzDsXBqVer+vevXtaX1+XbdtaXV1VqVRSoVDQ1tYW3RcAAFKll58PiN8AAIyGXlr0j2v8ZowCAABG1ZA6Oe7WN2K7swZEKhaL0UWKJC0vL2t7e1u2batUKl28gAAAJIiJ+d9FEb8BAOiPYDDjmI8L7muU4zeJAgAARpKRMfEeF71UsW1buVxO29vbx+Y5jnNq80XHcbS7uxtdpLRvs1KpnNm/IgAA48Qo6HoozuOiPzQQvwEA6J/4378vZpTjN10PAQAwovpxERLXnTt3ul5UOI6jYrF44npHL1COoo9jAEDaDLPnYuI3AAB90GPXvxc1qvGbFgUAAIyoYd3RIEmlUkm1Wq3jYmVtbU35fL7jYsNxHF27dk2rq6vRtPv372tpaenYNiuVisrlcl/KBwBAUgyp50BJxG8AAPrFMibWox9GNX4nukWB4zgqlUod2ZRuB6Rer6tSqSiXy8l13Wi5k/qEcl1XKysrqtfryuVyUd9Q4b7CvqAAABioId6SaNu2Hj16pHK5rJmZGe3s7Mh1XVWr1a7Lt8fQ5eVlbWxsaGlpSblcTtevX9fOzo4++eSTM/tfBABg3PRj/IG4iN8AAPTHEBv0j2z8TmyiwHVdzc3N6cmTJ9FBWFtbU6FQ6DioYZKgUqlE0+bm5nT79m1tbW0d2+7GxoZKpZJKpdKxpMPq6qqq1ao2NzcHUykAAEJDbvooSbOzsx3xshvbtrW3t3ds+sLCghYWFvpTEAAAEmyYPzRIxG8AAC4qGMw4XgDvV5gfxfid2K6HSqWS8vl8R6ZkcXFRtVpNtVotmlapVPTw4cOoJYEU9NdUr9dVr9c7trmxsRG1FlhcXDy2z+XlZe6sAAAMRXihEutx2YUFAACSWoMZx3wQvwEAGBUm9n/jHMETmyh4+PCh5ufnj023bbujRUGhUDg20MP169ePree6rorFohYXFzU7O3vifj/55JMLlBoAgPiGOUYBAADoj2GOUQAAAPqD798J7XrIdV25rtv17n7btjtaFHRrilGtVmXbdkdCoFQqSdKpI0tLQZ9Qt27dOrOMN2/ePHHe1p8/PnN9AEDa9XIRMt4XK8N0Wvx+/PmfDbEkAIBEuoSuA3HG9++/+HyIJQEAJNW4JwHiSGSioH1E6F7mh4MU7+7uHhscIkwuxEkCnDSwBAAA/WQsLlQAAEiaxDbbBwAgrYxkxf3+PcZf0xOZKDiPWq2marWqer2uW7duaXp6umP+7u6uJPVtDILHj09uNfCy0ZddAADGGXckXorT4reePx1eQQAAiWR6aBHIKEP9c+r37+bzIZYEAJBElzGY8ShKzc0O+Xxe5XI5ag1w48aNjpYHYeKgfdBjAAAukzHxHgAAYHRYJt4DAACMDsYoSGii4Ky7/o+2FjiqVCrJdd1oXAIpSCRIZ3drJElra2tnFxIAgAsI72iI9bjswgIAgIixTKwHAAAYHdyol9BEgW3byuVy2t7ePjbPcZzoR39JmpmZ0dLSUscyYSKhXq9H08KkQaVSOXP/W1tb5yo3AAC94EIFAIDkIX4DAJA0MW/SM0bj3PlQIhMFknTnzp2ud/87jqNisSgp6EbIcZxjLRDC9doTCrZta319XWtra6e2KtjY2Ii2DwDAINH0EQCAhImZJBjz3xkAAEgW08P37zGO34lNFJRKJdVqtY4f9dfW1pTP56MEQC6X0/Lysu7evduxbqVSUS6XU7lc7pi+sLCgSqWiQqGgjY2NY/vc2Ng41mIBAIBB4Y5EAACSha4DAQBIJm7Uk7KXXYDzsm1bjx49Urlc1szMjHZ2duS6bjRYcahcLmttbU0PHjzQ9evXo+6Knjx50nWsg8XFRd25c0crKyvRtsLl7t69q4WFhYHWCwAASZKRrLj9F4/3tQoAAIky5r8hAAAwdoJEf/xlx1ViEwWSNDs7G2tMgcXFxZ622621AQAAw8SFCgAAyTTudxsCADCOiN8JTxQAADC+emnWyAUNAACjgt8ZAABIHhIFJAoAABhZsbseAgAAI8EYKRMzfvN7BAAAI4KufyWRKAAAYDSZHu5oGOMLFQAAkoY7EgEASBpa9EskCgAAGFn8zgAAQPIY67JLAAAAesYXcBIFAACMomAw45hdFwy2KAAAIDbuSAQAIGn4/h0gUQAAwIjihgYAAJKH+A0AQPIQv0kUAAAwsujjGACAZDE9jDFEmAcAYHTw/ZtEAQAAI4vrFAAAkof4DQBAwvSQ6B/nvocubZilr7766rJ2DQDA6GtdqMR5jPOFCgAASWMZE+sBAABGR+zv32Ps0hIFS0tLl7VrAAASIei+4OwHAAAYHcRvAACSh/g9wK6Hnj17plqtpt3d3WPzXNfV5ubmoHYNAEDiGcW/W8HQpAAAgJEx7ncbAgAwbvj+HRhIouDRo0cqFAqnLpP2i6fv/1c5NZqeXuw39c2Lht6YyujL//ytdp7vS5L+7d+42nlxoDcmM9pvevrtvqe3pjKasIwyxmgqm9Gb2azemswqY4zevJKV52f15pWMjIzeeCMryxj58nU9M6mXB029PGjq+X5T+w1P/2H3hV4dNNX0fX39zSu9bHiyjHTgefriPzX0WjYjSXrRaOrq1IRez2b1d89e6fWpjCYzlr7+9pUmMpY8z9c3Lxtqer4Omp5eHnhqer4835eRke/7Mq1yHDR8WZbUaAbLyg+b9UgTGSv6dyJj1Gytn7GMGk0v+tv3fUmSF/yjbMao0Qz+sCyp2fTlq5Xh86WMFXTJkbUsvdhvypeUtYwanq/WpvTqoBFtv+n58n1flhVs15cvyxh5ni/Pl3wF61nGRMtNZCz58pW1grJnLKMX+00ZI2WM0cuDpjKtrkFe7Dfl+0EvIeFxk6Svv9lXo+nJsoJ97X57oGwmeI+4vz1QJhM0T36x32xNN/r2ZSOon6SmF5Qza1myjDraCjW94N9GM6jbi4OmGs3gNWp60rcvG9FH3LMXvjJW8OH47ctXylhGExkj93lQnrBu2YzRlUkrOsfemMzIDw65prIZeX7rNW6V7WXTk+cFx6vphccwWN4yCo5J63Vq+p4yxiiTMdpveEG9WnVuen5wvP1guxnLyPOl/YYXvZ4vD5rRdg8OgukZy6jpeTJGXZt5h8e9fb7XOqa+JK91jklSw/OCANKqm1rnm9c6zuHmfT84J31f8vzwPAqee81genjgw2MTPPei1/VVw5fVKlOjta+MFWzHanvfSNJE1kT7zWZMdIyCYxu83sExCt4j0cKtXmv81vOMOTzuxgT1zZjgPAg/tyezh/udzFpRHbzWsT5oetFr+urAi14Pr3nkuLde+3BfwTQjy0imdQ6H56NRUN/2omesw/emkYnOg3BbL/a96PU8aB7WKXw9TbT/9jKZw8+Qw5fo0ljWZZcAx0xcaT3xpYkpyfekg1dS40DyPfleM5gWfigZ6/DWE98P/vYarW2YYFlJymQlGZkX3wbL+J785kHwxvE8af+F1Gy9ibymfK8pk8kG2/S94D3sedKrF63itbabnZCykzLZCcnKSJlMsFzrg8h/9VzafyU1D6TGQVB+ScbKBM9bZdHBvtRsBOVstspvZaSp12SsjDR5RZp6rVXX1jpeM9h2WJ6D/egw+s2Dw+VadZCVkRoNaWIy2GZ2QpqckiauyGQyUnYyKH+4Xvhvo3FYX98Pjo2Vkd96TaLXwWvKTEwGz62MlM0G25QJPrCtzOFrazLBv+FrFk4Pec3OD/zweIQfQlZGxljBdVD4Okmd50L4d/TBZdr20XZuHFtOh8scnd6+3fB8OfoxEgahcHrbLqMLrGMzJGm/7ViE22otZlrLRed25+EKyuV3/t1e5qj+rbJ3lLnb56B/+E/7cfK8I8scufWrvfxhmQ8rcOS92dpHo1X2o9s2Vttrb51S/iO8xuGhaDYOtxGeb9Eu/Laym8N9RmXvVv5m29/+4T6OOnoudTsW5si/0XpeZznP2na76DX31HGQTHv5jzg6zetWH0kKl7v8uGlaHylxl8XwBd/pfHny5PuePHkd8y1ZMsaSkWRM+/Wn334lLan1fbZ13oXbbfoNeb4nX56a/uE5bGTJMsGj/UcmX36wfOvzLNhmsFzGZKTWj1e+78vzm2r4DXl+U57vqeE3onevZaxW2YP1g217h9+hW/W02sqRNROtupq20vhqeI1WuZrH6txxLFvHJFzGtP4L62ii+obHs+3z/sh2/bbPlvZtdhzvaN3T3zzt+zLhmm1vOL/L51j7/PbX9HD5wxK1f2K2nyPn+fHwtON7Hp11a/tcV/c6nlYOvy1+d5mro6+Daf//Kfs6uj/f947M677l49cmh/tp38fR1++wLp26/S7Z7fjF/f3y9HP29GXD38666deP0nHOtX7+AH7a/kb1h3YrbgAfYwNJFJTLZZXLZeXzeeVyuWPz9/b2dPfu3UHsGgCAscEPCAAAJI8h0X9uX331ld59993LLgYAIG1M9+TRScuOq4EkCmZnZ/Xzn//8xPk3btzQe++9N4hdAwAwHrhQAQAgkUj0n9/S0pL+5E/+5LKLAQBIIeL3gBIFcX7YePjw4SB2DQDA2OBCBQCA5OnW1SUCjGUIABhVae8mXxpQosC27TObDH7wwQf6xS9+MYjdAwCQeId9q8ZbFgAAXL4gfsdfNk0YyxAAMKr4/h0YSKLg3r17+tWvfqVaraZ8Pq/p6eljy9RqtUHsGgCAscGXZQAAEsbEH/gybU0HGcsQADC6eojfY5wqGEii4Pr165KCpoMAAOB8Uvb7AQAAY4H43R1jGQIARhnxe0CJAt/3lc/nZdt2lDRo9/XXX+vTTz8dxK4BABgbtCgAACB5iN/dMZYhAGBkmR7i9xiH+YGNUXBWgP/1r389iF0DADAeTA93NIzxhQoAAElDnqA7xjIEAIw0AvhgEgWffPLJmcuUy+VB7BoAgDFBH4kAACQRLQq6YyxDAMAoI34PKFHQ3q/gp59+qq2tLe3u7uoHP/iB7t27p7fffpu+BwEAOIWRlLHiXaj063LGcRyVSiXZth1N6yWx7ziOKpVKR7eDy8vLfSodAACjzxjJysSM330K4EmJ34xlCAAYVXz/DgwkUSBJX3zxhRYWFuQ4TjRtfX1df/RHf6SNjQ398Ic/HNSuAQAYC8O8ocF1Xc3NzenJkyfK5XKSpLW1NRUKBVWr1TPXr9VqWlpa0tbWlnK5XLS92dlZ5fP5AZceAIAREvOHhn5IUvxmLEMAwCizhvgFfFTj90ASBU+fPtXCwoIWFhZUKBSizIjjOHr48KEWFhb05MkTvf3224PYPQAAY2GYTR9LpZLy+Xx0kSJJi4uLWlpairoIOInruioWi3r06FG0vuM42t3d7dqtAAAAY4343RVjGQIARpbpoevfPsT5UY3fA0kUfPjhh6pUKrp9+3bH9Bs3buj27dsqFosqlUoXGqTovM0zisWi7t+/r9nZ2a7zXdfVysrKseaQ4b6KxaLW19fPXW4AAOIwJv4Nif34PeLhw4e6f//+sem2batarZ56obKysqLp6emO2Do7O6u9vb2LFwwAgEQZ7hhDSYrfjGUIABhVRpLVw7IXNarxeyCJAt/3jyUJ2uXzea2trZ17++dtnrGxsaGNjY2uL0S4jXK5rHK5rIWFhY55q6urqlar2tzcPHe5AQDoRS8tCra3t3Xz5s2u8x4/fnzquq7rynXdjrsZQrZtnzmw4MbGRnSRUqvV5LrusbsjAABIBaMeMv3pit+MZQgAGGW9dD00rvE7brKkJ3F+2OjWJ2FcJzXPqNVqJx5M13VVqVRO3Oba2pqWlpZUrVaPJQmkYDCI9tYLAAAMmjHxHhfVPp7QeedPT09rdXVVtm0rn8+rWCxe6KYAAAASa0gBPInx+4svvtB3v/tdLS4uqlKpaH19XT//+c9148YN/emf/unA9gsAwFlMq/uhsx4XNcrxeyAtCuI0ddjd3T339s/TPGNlZUXlcllzc3PH5jmOo6WlpTOTAeVy+cw+FQEA6BfTQ6PGmZmZM+9cGITwIubhw4cd8b9SqWhmZka3bt06sbs/AADGkelhMOM0xW/GMgQAjLJeWhSMa/weSIuCubk5ffDBByfO/+CDDzQ/P3+ubZ+neUatVlOhUDixCUapVJIk3b1799R953I53blzp+cyAwBwHpaJ9xgFR5P0tm0rl8tpZWXlkkoEAMAlGVaTwD4YZvwOxzL88MMPdfv2bd24cSMax7BSqejBgwfRd3MAAIbJKH6LglGI4IOK3wNpUXDv3j0VCgVdv35dhUJBN27ckBRkPWq1mmzbPvdAxudpnlGtVlUul09ct16vS1KsroVO676o3Un9VEnS1p8PP+MEAEiW8EIl7rIXcVZfhtPT0yfOC2Nnt2Wmp6ejGDsIz5490+bmphzH0R/8wR9Ikj777DP96Ec/Ovc2T4vfjz//s3NvFwCQEqaHFgUXDOBJi9+DHMvw1O/ff/H5ubYJAEiXgdxN38Uox++BJAqk4Mf5UqmkP/7jP+6YvrCwMNTue1ZXV08cvDgUdoPEoIsAgFEyrJsNw7sPtre3j81zHKdrl35H1z+pS8FBje/z0UcfqVQqyfd9GWOiRMG1a9d09+5dPXjwYCD7BQDgdL20FrhYoE9a/B70WIYAAFxEL10PXcQox++BJQqkoE//crmsR48eSZJu3bqlq1evDnKXHer1enTwT2Pbtur1etcujVzX7dpsY2lp6dSDf1o/VS8bpxYHAADJmPgXKn24oLlz507XlneO46hYLJ667sLCgjY2Nrquu7S0dOGyHfXLX/5SH3/8sT7++GPl8/mO1n7vvfee1tbW9NFHH+lnP/tZz9s+tZ/J50/PU1wAQNoMsV/AJMXvQY5leOr37+bzc20TAJAivQxUPMbfvwfWquKrr76Knt++fVu3b9/uS5Kgl+YZlUpFCwsLZ24zzNRsbm523V+5XNb9+/e1trYWtVAY1B2SAACELMvEevRDqVRSrVbruFhZW1tTPp/vuKPBcRxdu3ZNq6ur0bSw5V77OEFra2uybVvLy8t9KV+7hw8f6ssvv9S9e/d048YNvfPOOx3zh3lTAgAAHYxkMlasRz86OU5S/B7kWIYAAFyEkZQxJtajH9/ARzV+D6RFwZ07d/TLX/5S1Wr1Qv0EdxO3ecba2tqxTEp4d8LKyoqmp6dVLpeVy+WiJEClUjmxeUcul5Nt23Ichy6KAAADF4xREH/Zi7JtW48ePVK5XNbMzIx2dnbkuq6q1WrX5dtjYS6X09bWlkqlUrS867pdY3U/hGMfnWZQ+wYA4ExDHKg4SfF7kGMZAgBwUcPqekga3fg9sK6H7t27p1u3bp04/9mzZ3r77bfPte04zTMWFxe1uLjYMb9Wq2ljY0P379/X7OxsND2Xy2l9fV2FQkH1er1j3tHtAwAwLMO8UJGk2dnZjm58urFtu2vXAblc7sx1++Xp084ugHzfP7bMzs7OUMoCAEA7I8nEbLffryiflPgtjc5YhgAAtDOK//17nOP3QLoesm1bH3/88amJgLP6WzpN3OYZR7mue+K8fD6v9fV1FYtFra2tHZu/trZ2auIDAIB+MzEfaXP16lX94R/+YfT30b4k7969qx/84AfDLhYAAAFj4j1Sqlwuy/M8VatVVatV7e3tkSQAAFw60xqn4KzHOBtIi4L79+/ro48+km3b+qf/9J92Xea8gxRJvTfPcF1XpVIpGoMgbO0Qdj0UWlhYUD6f18rKigqFgnK5nObn57Wzs6P5+XlVq9WO/p8AABikcb8IOa8PP/xQc3Nzun79uvL5vBzH0c7OjhzH0cbGhmzb1oMHDy67mACANDJGJu74QSmP87dv377sIgAAEBl2i/5RNJBEQXhXf3tXQO0/yJ92Z39ccZpnhHppjhEOXnyS01osAADQL8ZI/M5wsq2tLS0tLemTTz6J/paCpH84DQCAS5HGwBzDV199pXfffbdj2qNHj1StVvXOO+8on8/r+9///qWUDQAAoveAEgXb29u6devWid0L7ezs6LPPPhvErgEAGBu0KDhdpVLR6uqqHMfR7u6ubt26patXr152sQAAaRc3058yS0tL+pM/+ZOOabdv39bt27f19OlT1Wo11Wo1/exnP7ukEgIA0soYE3+MgjH+nj6QRIFt2/o3/+bfnLrMj3/840HsGgCAsTHG1x99c/XqVb333nvHpn/wwQf6xS9+cQklAgCk3Tj/gHARvu+fOO/q1av66U9/qg8++GCIJQIA4BBdDw0oUXBa1z2hUqk0iF0DADA2+KHhfJ49exaNSwQAwFAZ9dB34EBLMnLOuq754osviN8AgEvD9+8BJQriDErEwEUAAJwu7T0XWJbFxRoAIHmIXZKk999/X5ubm3ry5ImkYKzC69evd102HMcw7tiCAAD0Gy0KBpQoYJAiAAAuxqiHPhLH9JZE27Y1Ozur+fn5ntb7+uuv9emnnw6oVAAAnMbIZKzYy46zjz/+WJJUr9ej8QtPumHQtm0VCgVuKAQAXAojKRP7+/f4GkiigEGKAAC4INPDHQ1jeqWSy+X08OHDc63761//us+lAQAgBtND1wVjGr+Pmp2dVbVa1fvvv3/uuA4AwKDRokCKe6tDT+IMUrS9vT2IXQMAMDaMifcYV+vr6+del64LAACXxjLxHili27aWlpYuuxgAAHRnjEzMxzh/CR9IooBBigAAuLjYFypj6saNG2cu8+mnn+qDDz7Q3bt39c//+T/Xs2fPYq8LAMBApD3Tf4Kf/vSnZy7z0UcfDaEkAAB0Mgp+JI/zGOcI3peuhxikCACA/jKK/xvCOF+onOSLL77QwsKCHMeJpq2vr+uP/uiPtLGxoR/+8IeXWDoAQJqZlLUW6Jdnz57pwYMHdFEMALgU43wTXlx9SRQwSBEAAP1HH4ndPX36VAsLC1pYWFChUJBt25Ikx3H08OFDLSws6MmTJ3r77bcvuaQAgNTppbXAGMf5H//4x/rss8/05Zdf6t1335UkWZbFjzAAgJHF9+8+D2bMIEUAAPQP1yndffjhh6pUKsduOrhx44Zu376tYrGoUqmkX/ziF5dUQgBAqtGiQNvb2/I8L+pRQApuGpydndX8/HzXdb7++mt9+umnQyohAACHjOInCsY5yvc1USAxSBEAAH1hemj6OM5XKl34vn9qy8R8Pq+1tbUhlggAgEDQdSA/NGxvb+vJkycdYwblcrkzbyj89a9/PeiiAQDQFa3eBpAokA4HKXr27NmxZv+fffaZfvSjHw1it4lijDSRtTSRtfTGVPAy+P7hvNP4/uEy7c+7L2fkW9Jk1pIxUu71YPlu67XvP5x/0nLhPEnyFTyxjImmdS2P/Cg75/m+TJdL46Pb8nXKcr5kWUae53dcZRuZaL1we+3Pe2Fk5LcqZUzr+Tk+N8I6nLStaP55y9hW36PbylqWfPmalCUp0/v2zfFz47T5odPOTQzXSZ8Zp71fT2W6PT+cONH7adbzboM/un82tL8Hun1+9LajyxMOphR32TSJcwF30lhJF9bYl7KTknzJWMHDP5CuvCF5jeCcCz8YrYzkNVr/NoNlrYzUbEiZrNQ8kKzwUsyXZIJp2UmpeSCTeVvyvdYb1wqeGyN53uExaO3H+F6rPKa1nHW4H68Z7PfYtqxgvXbGOixLe7nCbXab17HM0Q+II8tE6/Wq27ba/z1cxrTKYk4sS7uTytdW57Be4Qdo2/GLXtcjZQi3Zbptq6Nalo4fv5OOW7cyn3aM1LnvWNvqto2Ttn/CeXCRsp57W+3L9HtbR530+dOtPt2Wad/OaWU8a92zljlt2dPqfd79nVaP85TdnLBonLJ3W27IaFEgSR1JAkl69OjRmesMYyxDI3MYI0z8C9ezrj/C7Vpm8iLFO3X/lrGU1cRAtt8ukxnIT0WnG+LbJn4yz/S0/LnK0ueKn7es3coxrHqbHt6H599HzNf8AnXu5bU8uuwwfqDu97k2avvrByuBZe63uL9B9OzOnTu6du2afv/3f79j+rVr13T37t1B7RYAgLFhjIn1SJu9vb0zl9nd3R1CSQAAOMJI0TgFZz4uu7DDdfXqVUnBDYVHffbZZ5KOJxcAABiOeN+9TXRjz3gaSKLg/v37un//vn70ox8daz3w3nvvaW1tTR999NEgdg0AwNjIWvEeaTM3N6cPPvjgxPkffPDBif0fAwAwWEayrHiPMf6h4STcUAgAGEXGSBljxXqM8716A2lPtre3p/fee0/VarXr/PBOAgAA0F1Hs/gYy6bJvXv3VCgUdP36dRUKhejuQ8dxVKvVZNs2AxkDAC6PlcIsfgzhDYV7e3uamZnpmNd+Q+HPfvazSyohACDN0tha/6iBJAriHNjt7e1B7BoAgLFBF8cnq1arKpVK+uM//uOO6QsLC2cOlAgAwEDxQ0NX3FAIABhlFvF7MF0PbW9v66//+q/PXAYAAJwgbvfG491F4qnK5bI8z1O1WlW1WtXe3h5JAgDA5WKMghNxQyEAYHQZGVmxHuMcwAeSKFheXtbs7Kz+5b/8l8fmPXv2TD/5yU/04x//eBC7BgBgbFjGxHqMqy+++CLWcrdv39bt27c77kSMuy4AAH0XO9OfLtxQCAAYVUbxv3+PcwQfSKIgn8+rVCrppz/9qa5fv675+Xn95Cc/0fe+9z1du3ZNjuPQ7yAAAKcwCoJ0nMe4XqiUSqVLWRcAgPNjMOOTcEMhAGCUGWNiPcbZQMYokIKLgHw+r3v37mlrayuaTt/BAADEM+bXIGfa3d3VN998o7feequn9Z4+fard3d0BlQoAgDOkPYCfoP2GwmvXrsm2bU1PT8txHDmOI9u2uaEQAHBpxrutQDwDSxRI0uzsbJQkePLkiW7cuDHI3QEAMFbGuVuhOLa3t5XL5S67GAAA9Cbl8fs03FAIABhVaf/+LQ04UfDs2TNtbm7qyZMn+mf/7J9Jkj777DP96Ec/GuRuAQAYC1ynSL7vn2u9cW8SCgAYUeFgxnGXTSFuKAQAjJpg+KB4gXmcv2oOZIwCSfroo4907do15fN5LS4uRtOvXbumu3fvDmq3AACMhWAwpXiPcb1OCbsj8Dzv2COfz3ed7nmevvzyS9m2fdnFBwCkEmMUnOSzzz47Nu1okuD+/fvDKg4AAG2MrJj/jXP8Hkii4Je//KU+/vhjffzxx9re3tbPf/7zaN57772ntbU1ffTRR4PYNQAA48FIGcvEeozrdYpt23r33Xe7zjvtbg/btrk7EQBweWInCtJlaWnpzGU2NjaGUBIAAI6zLCvWY5wNpOuhhw8f6ssvv4z+fueddzrmX716tS/7qdfrevDggVzXleM4KhQKWl5e7rpcpVJRLpeT67qSpHK5fGK/x67ramVlRfV6XblcTtPT05KkUqkk27ZVLBa1vr7elzoAANBN2KIg7rLjqFQqXcq6AABcyDj3SXABOzs7+tM//VP98Ic/7Dr//fffl+M4Qy4VAACt798xv1mPc5QfSKIgzl1829vbF9pHmCQol8uSgh/35+bmVK1WVa1WO5arVCqqVCrRtLm5Od2+fbtj8KTQxsaGSqWSSqVStO3Q6uqqqtWqNjc3L1R2AADiMGN9CXK227dvX8q6AACcm5FM3LsNUxbmXdfVwsKCHj16pO9///vR9GfPnkXfzxljCABwWYhBA+p66OnTpx1/dxuIcGdn50L7WFlZ6fghP5fLqVwuq1ardTRXrFQqevjwYdSSQJLy+bzq9brq9XrHNjc2NqLWAu3jKoSWl5dPbIUAAEC/xR2jYFz96le/upR1AQA4PxOOiHj2I2WZgsXFRW1ubupf/It/EcXpzz77TO+++65c19XW1pbee++9Sy4lACCdjCwT7zHO8XsgiYKrV6/qD//wD6O/j2Zk7t69qx/84AcX2kf4o367fD4vSR0tCgqFwrEBDa9fv35se67rqlgsanFxUbOzsyfu95NPPrlIsQEAiC3tiYL21oBHdbsJIe66AAAMVOxEQbp8/PHHunHjhj788EPt7OzoJz/5iQqFgvL5vP79v//3eu+992i9DwC4NCbmf+NsIF0Pffjhh5qbm9P169eVz+flOI52dnbkOI42NjZk27YePHhwoX3Mzs5GYwcctbu7Gz1fWFjQwsJCx/xqtSrbtjsSAmFfxkeTD0flcjndunXrvMUGACAWIxO76WO/LlYcx4nG4wkd7YYvrmKxqPv375+afD/L9va2/vzP/7xrl4bGGH3zzTddEwbb29v0cQwAuDxDTgKMWvw+y7Nnz1SpVFSv1zU7O6tPP/10YPsCACCOYIzAePfT9yvKj2L8HkiiQJK2tra0tLQU3YEfjgewsLDQl7vyu40vEN59MD8/33WdcJDi3d3djlYHklSr1SQpVhLg6Lrd3Lx588R5W3/++Mz1AQAp10trgT5cqYRj/Tx58iTqZm9tbU2FQiFW3Gu3sbGhjY0N3b9//0Jl2t3dPfVCZxDdAZ4Wvx9//md93x8AYMwYSUMco2AU4/dJvve976lcLusP/uAPND09ra2tLdm2reXlZb3//vv6/ve/r88++0w/+tGPet72qd+//+LzixQbAJAGpocxCsY4fg+k66FQpVLR3t6etra2VK1Wtbe3p4cPH+rq1asD2V+5XI4uNI6q1WpaWVlRvV7XrVu3jrVGCFshMAYBAGBUDLPnglKppHw+3xEHFxcXVavVomR6HK7r9rXbH9/3dfXq1Z4eZ3VLBADAQA0xgI9q/O5me3tbxWJR+XxeX375pd577z1dvXpVH3/8sarVqn784x+rUCgMtAwAAJxkmF0PjWr8HliLgtDVq1e7Dkj0wQcf6Be/+EXf9rO6uirHcbq2NJCC8QvCMQyWlpZ048aN6A4GSZqenpbrunJdty/JgsePT2418LJx4c0DAFLAGmLXBQ8fPux6B4Jt26pWq1EMPcvKyorK5bLm5uYuXCbbts/dV/F5uwk8LX7r+dNzbRMAkCa9JAEuHudHMX6fJJfL6f79+/r5z39+bN7Pf/5z+b6vR48enWvbp37/bj4/1zYBAGlievj+Pb7xe6AtCk7y7Nmzvg5SVKvV9ODBA21tbcX6kb9UKsl13WhcAulwIOQ4fRqvra2du6wAAMQR9JEY73HRy5TTEuW2bce+o6FWq6lQKPStdd5JYxENel0AAC5kSC0KRjV+n8S27a5JgtDy8nLXcYkAABiGYbUoGOX4faEWBZZlxe+/aUDq9boqlUpHSwLHcaKWAjMzM8rn8x3NMMIfD+r1ejStVCppbW1NlUrlzCYbJ7VaAACgn3oJsdvb2yf2z3vqXfI6O0ked2DgarWqcrnct4GEL9KEctDdJwAAcKK4YxRoPOP3Se7evXvmMgsLCwMtAwAA3QQ36sX7Am40vvH7QokC27Y1Ozt74uDBJ/n666/16aefXmTXkg6TBOvr6x3TK5WKyuWyXNeV4zjHMivhAWxvxmHbttbX11UsFo+NON1uY2NDxWLxwmUHAOAsmUtOxvdidXW174MfXuSuQu5IBABciiEPZnxRg4jfJzmtNUHoww8/HEJJAAA4zjKZyy5CbIOK3xdKFORyOT18+PBc6/7617++yK7lOI6KxaIWFha0uroqSdrZ2ZHjOFHiIpfLaXl5+didC5VKRblcTuVyuWP6wsKCKpWKCoWCyuXysbsZNjY25DhO18GSAQDoJ9PqVijusjMzM2feuTAo9Xpdtm0PvMsCAABGn+mhRYFJRfz+6quvND09rbfffrtj+vvvvy9jgmMwOzsr27b17rvvDrQsAAB019sYBeMavy+UKDh6J38vLtolQKFQkOM4UZKg3dLSUvS8XC5rbW1NDx480PXr17W9vS1JevLkSdcDuri4qDt37mhlZUXValWSouXu3r1LU0gAwNAMazDjsy4wzurvP063fQAApEbK4/cHH3ygzc1Nua4b9UCwuLh4bLmPP/5YkvTo0SN9+OGHevTokYwxajQafS8TAACnMVLs7vUvGuVHNX5LF0wUXGaXAOEP/nF0uyg5TbfWBgAADNuweh4K70boFlsdx+noqu+otbU1OY7TkaTf3d2VJK2srGh6elrlcpnWBgCA9BhSAB/V+P3gwQPNzMxoc3NTV69ePXP527dv6/bt2yoWi/rVr37V8/4AAOgHa0h9Ao5q/JYumCg4iiaFAAD0R6+DKV3UnTt3ug6CFHb1d5LFxcVjCflaraaNjQ3dv39fs7OzfSgdAAAJEdySGH/ZCxrV+L2+vh4rSXB0HauHgaABAOgbE79FwTjH7wtF4Q8++EDz8/P63ve+p7t372pjY6Prch9//LF+8Ytf6L333tOHH36omZkZZbN9zVEAADB2jIn36IdSqaRardZxsbK2tqZ8Pt9xR4PjOLp27VrXrv9Cruv2p1AAACROa4yCOI8+/NIwivF7enq648bAp0+f6osvvjj2+Oqrr46tyw0GAIDLYowV69EPoxi/pQu2KKBJIQAAgzPMe+ps29ajR49ULpc1MzOjnZ0dua4bjddzVLemjK7rqlQqaXNzU5J079493bp1i66HAADpMqy+AzWa8du27Y6/d3d39fnnn2t9fV2PHj2SbdtaWlrS7OzssZ4Grl+/3vP+AAC4KCMTu+sh04dE/yjGb6kPXQ/RpBAAgMGI3fSxT2ZnZ88cFMm2be3t7XWdl8vlGNQYAICUx++j1y83btzQvXv3dO/ePU1PT2t9fV3f//73+7Y/AAD6ge/fF0wUdGtS+OTJk2PL5XK5Y3cK0KQQAIDTDfcyBQAA9EWfuiUYR7du3SJJAAAYSf1oKZB0F0oU0KQQAIDBMMbEH8x4yHc+AACAExhJ1vAGQ0warlkAAKOKGHXBRAFNCgEAGJy4vzMAAIBRYSQrE3/ZMbS7u6u//uu/1rVr17rO/+abb+T7/rHpOzs7HYM6AgAwLEZGGRMvfo9zy4MLj1FwEpoUAgBwMdzRAABAAqV8PL7t7e1jvQ+0O+8AiwAADNI4JwDiGliigB83AAA4PyMp7s8MRFwAAEaEUfzBjMc4gPu+33NCwHVdfkcAAFwO08Nv2WMcqi6UKKBJIQAAg8OXZQAAksb0MJjxeMb56elp7e7unmvd7373u30uDQAA8dCi4IKJApoUAgAwOFymAACQQClP9J/2G8Eg1wUA4CK4Ua8PXQ/RpBAAgMEgVgIAkEApH6OgUqlcyroAAJxX0PVvvO/f4/wt/UKJApoUnp/vSy8PmtpveHqx39RBM+iiKWMZWZY0kbE0mbFkjOT5vpqer0bT137Dk0yw/mTW0mTWUtYyem0yI6v1g1LT8+X5vl4deNpvetEJbEywjmWMMlbQoMZvLX/Q9GRk5Pm+jJEsYzSRsZTNGBlfsqxgXqPpy/elhufJ8yXP85XNBNuTpKxlqfU0mO/70XoZy6jpBf9mM0YZo+jd5futh3zJl155noxRa7t+tP2ojJKavq9X+54sY+QrKJcxwTKWFSSxDusYbC/sCSusY7h8+zyv9aTpBdsM9+35nfuKyi0/ap7ky5dlTLScZYI54XHItI5j0/Oj16udZUy0/7As4bbDxcP1grIres083+s4lkfLHRwJdZQ/3E547KJtR/87nCc/eE2t9mKHmw2nHe9pLJp3tB7dRPvqUbdVuhWlfT+nbu+MMpy1vt9l7+1N2Lpt/+g227dhZI5ts31a+LzbMQ6Paev06JlpOw+k4PUPS3J4VsXcVlimc64fV/geCj8/w+dnvW7dBMf48r7sp/tnhhHlefK/2ZFe/lb+f/xS/s5/lppNaf9VMN8Y6c23pcZB0PWEMdKL51ImI1kZaXJS5jv/QCb3O9LVd2Qmr0iZieAEbRzIP3gpPfuN/OfP5O/+TbBe4yD4NzMRLN9sStms1GjIbx7IZCakiUlp6jWZK29Ib14Nls1OSs2G5HvyXz0PtuM15H+zF5Q3kwk+HDITMlOvBeVtHgTlaR4EcdS0utAI52eywSN8U/leUB6vIR3sS4394DhkJoJ/J6+0AlYYDFr7CPn+4XEyrQsDrxnODMrpNQ/3l8lKE1PBj3CWJVnZwy4+2j/s2j/0PC/Ylue1Ho2gzM1GK/hlgm1PvRY8tywpOyljrODvqKzhtn35vhes4zVa+2hKjUZrP63nYZ2zE8HxyGYlKytjZYJ6yHR+qIbbbG0v2kfzoLWv5mFdggoH+8hOSMbIZKeCYxHWITwmkuS3yua3ytratu81O/4+vFBq276VbW3PyGSyR16v1usUfsJ73mH5vaaMMfKbjcPl2i/EwnXCbbf+7dx22zGKApp/uL1wf23b7tbtqTGm7XxuOxejBazOCyKdsr+2cz/cph+eo9F6VmuzrToFF6ad51Pbtdmxc6Bt++3n3eF6QZmj+hirtc/w/RS+LG0XcB3HzJfvecG2Tfiea4/K5vB1CbcvHZY/vAiNNusfvgbhuRVOaz9m0uGxkIL3QnSBm+n8PJBO2Ycf1cFYVlCXiB+8dyXpjWu6NClP9N+4ceNS1j1N02+q4R2o6Te0771Sw2vIMpay1oQyJqMrmddkmUzr+2ZTTb+ppt/Qq+bLjmvXrDWhSeuKMsaSMZaMjJp+U57vqeHtq+E35MtXprWtCWtKlrFktZb15avpNdTwg8/G8DucZYwyJquMycpqncO+fDW84PPba+0j+I6ZUcZkZSRlrGz0HSCcH5a/fZ/hdtu/t/q+31ouqIORUcZkgqvfI8tKku97avgNZUymtT9fGXP4WdG5bS963v5dxTKZju8t7WUJnnsysqKbZY4ud3jMguPgtcpt2sob8nwv+vzv/K5kjm03LGP0uR7GjOi1P16O9ngTvC7WqcuHx9AYq2P7R8vdXp6jTuoWpZdlu+1r3LR/TwbiMz3cqDe+59aFEgU0KQQAYDCMFPtCZXwvUwAASJj25EqcZQEAwEgw3Kp3sUQBTQoBABgcfj4AACCBLCI4AABJQ9e/F0wUjGKTQgAAxoLp4UZDrmcAABgdcVsUAACAkUF3VX0YzBgAAAxGhjsaAABIGNM5HsVZywIAgEsXjNMSL9E/zgkFEgUAAIwgIxP7AmScL1QAAEgUo/hdDxG+AQAYGXQ9RKIAAICRxXUKAAAJRAAHACBxGMyYRAEAACPL4lZDAACShzEKAABIFtNDi4Ix/ppOogAAgBHFDYkAACSNid/10Dj/0gAAQIIYxb9Rb5yjN4kCAABGFIkCAAASxih+iwLiPAAAI8L0MEbB+AZwEgUAAIwgo/iDFI/vZQoAAAlEph8AgMSJ+/17nJEoAABgRMXuuQAAAIwOxigAACBx4rcoGF8kCgAAGFHc0QAAQNIwRgEAAElkRKI/sYmCer2uBw8eyHVdOY6jQqGg5eXlcy8Xcl1XKysrcl23Y3qpVJJt2yoWi1pfX+93dQAA6GR66LmA3xkAABgdtCgAACBRjCQr5hfwcf76nchEQfjjf7lclhT8uD83N6dqtapqtdrzcqG1tTWVy2WVy2UtLCx0zFtdXVW1WtXm5uYAawYAQMBIynChAgBAshhJmUz8ZQEAwAgwsmIn+sc3gCfyVoeVlZXox39JyuVyKpfLqtVq2tjY6Hk5KUgSLC0tqVqtHksSSNLy8rJs2x5AbQAA6M7E/A8AAIyKVpPAOA9iOAAAI4Pv3wlNFGxsbKhYLHZMy+fzktTRUiDuco7jaGlp6cxkQHvSAQCAQYv9OwMAABgdxor3AAAAI8MYE+sxzhLZ9dDs7Kymp6e7ztvd3e15uVKpJEm6e/fuqfvN5XK6c+dOr8UFAOBcxvsSBACAMTXmPyIAADBujCQr5v304xzlE5ko2NraOjYtHDtgfn6+5+Xq9bokxepaqFKpxCrjzZs3T5y39eePY20DAJBeRqaHwZTG+VJluE6L348//7MhlgQAkEhGkhWztQDhu29O/f79F58PsSQAgETqpbXAGN8QkMhEQTflclm2bWt5ebnn5cLWBblcbpBFBACgJ+N7+QEAwLjqpV9AIj0AAKOCG/DGJFGwuroqx3G6tiCIs5xt26rX63Jd91iywHVdraysHNvW0tLSqS0QHj8+udXAy8apxQQAIMB1ytCdFr/1/OnwCgIASC7GHxi6U79/N58PsSQAgKQa9/EH4kh8oqBWq+nBgwfa2to6tUXAacvl83nV63Vtbm5Ggx2HcrmcyuWyXNfVjRs35Lqu9vb2aH0AABg47mgAACCB+KEBAIDE4fu3Yo7SMKLq9boqlUrHj/+O4/S83P3795XL5U4dfyCXy8m2beVyOZIEAIDBa/VcEOfB9QwAACPEWPEeAABgZJiY/42zxF6dhD/+r6+vd0w/+mN/nOVyuZzW19e1sbERDWzcTbckBAAAg2JiPgAAwIgwRrJiPmh5AADA6Ih9p974SmTXQ47jqFgsamFhQaurq5KknZ0dOY6j+fn5npeTgu6H1tfXVSwWVSqVtLi42DF/bW1Nt27d0ubm5oBrBwBAy3hfgwAAMJ5oLQAAQKL00lpgnFsVJDJRUCgU5DhO9ON/u6WlpZ6XCy0sLCifz2tlZUWFQkG5XE7z8/Pa2dnR/Py8qtWqarVafysDAEAXRpIV826Ffl2mOI6jUqkk27ajaeVyOda69XpdDx48kOu6chxHhUJBy8vLfSoZAAAJYmWGujviNwAAF2cNOdE/ivE7kYmC7e3tvi7XLhy8+CRHBzsGAGBQhnmfguu6mpub05MnT6KxeNbW1lQoFFStVk9dN7xICeNnuK1qtXrmugAAjBcjE7tbgotHeuI3AAD9McyWAqMav2kTCQDAqBriIAWlUkn5fD66SJGkxcVF1Wq1M1vTraysdCTZw6R7rVbTxsZGfwoIAEASGMUfzLgPMZz4DQBAfxhjYj36YVTjN4kCAABGlIn5Xz88fPjw2Pg9kmTb9pl3JWxsbKhYLHZMC1vgcUciACB14iYK+oD4DQBAf/D9O6FdDwEAkAZ9ulnhTK7rynXdjrsZQrZtn3lHw+zsrKanp7vO293d7UcRAQBIDms4AZz4DQBAfwxzMONRjt8kCgAAGFG9XH5sb2/r5s2bXec9fvz41HUdx7nQ/K2trWPTNjc3JanrXRIAAIwv00NrAUP8BgBgRPTSrdC4xm8SBQAAjKphjmbcZ+VyWbZta3l5+bKLAgDAcA2rSeAAEL8BAGk1zMGM+61f8ZtEAQAAI6qXC5WZmZkz71wYltXVVTmO0/VOBwAAxlo4mHHMZYnfAACMANNDi4Ixjt8kCgAAGEHGxL8h8aI3LnbrG7HdSf0fdlOr1fTgwQNtbW2duV0AAMbSkFoUEL8BAOifYbUoGOX4HbfzRAAAMGQm5uOibNtWLpfT9vb2sXmO4yifz8faTr1eV6VS6bhIOat/RQAAxktrjII4jwtGceI3AAD9Y2L+d1GjHL9JFAAAMKKMMbEe/XDnzp2uFxWO46hYLJ65fniRsr6+3jG9Uqn0pXwAACRGJhPv0QfEbwAALs7IyDJWrEc/kgWjGr/peggAgBE1zLEQS6WS5ubm5DiObNuWJK2trSmfz3fc0eA4jubm5nT//v1ooKTwYmZhYUGrq6uSpJ2dHTmOo/n5+eFVAgCAy2bUQ9+BF98d8RsAgP4Y5mDGoxq/SRQAADCihpgnkG3bevTokcrlsmZmZrSzsyPXdVWtVrsu397/YaFQkOM40UVKu6WlpUEVGQCAEWTiD2bcp+4LiN8AAFxcv1rrxzGq8dv4vu9faAvo2cvGcPbj+8HNLOErHD5v//fo8ict17780e36Cp5Yxui0s8mXHy0TrtOerQuntU9vn3ZkY62yGkWnsDky/+j7u9u0btvttl64ff/Iv92WObqdo8+PbqvXMh5hZE49difN75ej5xiG7+j7c1Qdfd/78o+dn0edtGz4vNtnRS/bP4uR0WsT51793G7evKlXDU//+v+7GWv5f/x/vqWprKXHjx8PuGQp9/yp5HvBG833pUzrfgvfl7ymZLX1Nx0uZ4xktbqX8Jqd6zUbh29eq60LimYj2Fb4Q5PXPJzX/uOT7x3Zdtvfxjosl9RWVq/zQyMsr9eQrOzhh3rzINhGWA7fO9xPZuJIvTPqCJCe11nvZiOYbmWCbXnNw2121Pug9XfbMQz3Y2VaZfMOy21Ma1umc1r7sW0/Pu0XNOHxaS/D0WNz9PhHy/k6vBBpez3CeoX78b3j2wr30b6tcLmTttVe/nBb0UXYCeWP9tdl+9Ex1PHl2rd1dJn2crSvd/RYRPtsOxbtFzjtdTp2XHW4bMdxPGVb4TJH35NR+dsCZHi+miPnWPv+5He+RtFypnNbXY/rkXKF08/aVrdj2JXf/bU9Wv5j2+pyzNqPT/t63cp25raOvGZHt9X+2nY7d44td0q5um1L6n5c38idcBwH5+bNm9Kr5/q3/+//Z6zl/9v/4f8mTb1O/B6wl83nl10EAEBMVzKvD32fN2/e1L73Sv+f/9+/jrX8f/+/+8eatKbGMn7TogAAgJHUy0BJZOkAABgZsVsUAACAUTHMFgWjikQBAAAjaMhdHAMAgL4wrRZmMZcFAACXzvRwo94wxzIYNhIFAACMqPG9/AAAYEyZHu5IJNADADAyxjkBEBeJAgAARhXXKQAAJA9dDwEAkDh0PUSiAACAkcUdDQAAJBA/NAAAkDh8/yZRAADAaDI9/M7A9QwAACPC9NCigAAOAMCoIFFAogAAgJHFDYkAACSMkZTJxF8WAABcOiMjK2aif5wTCiQKAAAYQUbxL0DG9zIFAIAEItMPAECymB7GKBjjME+iAACAEcXvDAAAJA1dDwEAkETj3FIgLhIFAACMKC5TAABIIDL9AAAkEPGbRAEAAKOK6xQAABKIAA4AQNIQvUkUAAAwsmj6CABAAtGiAACAxIk9RsEYI1EAAMCI4joFAICEMYofwInzAACMCKP4gXl8A3iiEwX1el0PHjyQ67pyHEeFQkHLy8snLl+r1VStVlUul0/druu6WllZUb1eVy6X0/T0tCSpVCrJtm0Vi0Wtr6/3tS4AABw1vpcfAACMMyI4AABJQ/ROcKIgTBKEP/q7rqu5uTlVq1VVq9VoOcdxVC6XlcvltLGxIdu2T93uxsaGSqWSSqXSsYTC6uqqqtWqNjc3+18hAADacEMiAABJZHpoEkgEBwBgdBCXE5soWFlZ6birP5fLqVwuq1gsamNjQwsLC5Ik27ZVqVQkBcmF02xsbKhYLGpra0uzs7P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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "filename = '1BNA1'\n", "filepath_pdb = os.path.join(DATA_DIR, \"my_geometries\", \"RCSB\", f\"{filename}.pdb\")\n", "\n", "oligo = Oligomer(filepath_pdb)\n", "oligo.save_tb_params()\n", "\n", "tb_sites = [['02G', '03C', '04G'], ['23C', '22G', '21C']]\n", "vis = Visualization(tb_sites, relax_rate=3., source = filename)\n", "fig, ax = vis.plot_heatmap()\n", "\n", "if save:\n", " fig_filename = input(\"Filename for Saving: \")\n", " plt.savefig(os.path.join(SAVE_DIR, fig_filename + '.pdf'))" ] }, { "cell_type": "code", "execution_count": 4, "id": "c3226ece-a033-4832-a79f-e19a7dd87f70", "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tb_sites = [['G', 'C', 'G'], ['C', 'G', 'C']]\n", "vis = Visualization(tb_sites, relax_rate=3., source = \"Hawke2010\")\n", "fig, ax = vis.plot_heatmap()\n", "\n", "if save:\n", " fig_filename = input(\"Filename for Saving: \")\n", " plt.savefig(os.path.join(SAVE_DIR, fig_filename + '.pdf'))" ] }, { "cell_type": "markdown", "id": "ba48b286-8909-4cbc-9a7c-a58ad5ca6be1", "metadata": {}, "source": [ "## Example II: Geometries from Biovia Discovery Studio" ] }, { "cell_type": "markdown", "id": "3eab55f9-aebe-4f8e-b408-b6907e0a1f9b", "metadata": {}, "source": [ "Using *Biovia Discovery Studio* or similar molecular editing software, you can generate PDB files of DNA and RNA sequences with optimized geometries. These tools offer flexibility to model nucleic acid structures with a high degree of customization. For example, you can:\n", "\n", "* introduce single-base mismatches, \n", "* apply epigenetic modifications such as methylation\n", "* perform translations or rotations of individual bases relative to one another (see the illustration below)\n", "\n", "These modifications allow for in-depth investigations into how structural variations impact the electronic properties of nucleic acids.\n", "\n", "One of the most common base mismatches observed in DNA is the *G\u00b7T mismatch*, which occurs when guanine pairs with thymine instead of its usual partner, cytosine. As an example, we will examine the G\u00b7T mismatch resulting from such a mutation, along with *cytosine methylation* in the sequence `ATGAC`. This configuration allows us to investigate how a single mismatch, combined with an epigenetic modification, can influence the electronic properties and structural integrity of DNA.\n", "\n", "When preparing geometries for use with the QuantumDNA package, it is important to ensure that the sugar-phosphate backbone and any water molecules are removed in Biovia Discovery Studio or your chosen software. This preprocessing step is essential for focusing solely on the atomic configurations of the bases and their interactions." ] }, { "cell_type": "code", "execution_count": 5, "id": "c99e15f4-ccf6-4434-b781-34653dfc2b2b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Image taken from: M. Mantela, C. Simserides and R. Di Felice, LCAO electronic structure of nucleic acid bases and other heterocycles and transfer integrals in B-DNA, including structural variability. *Materials 14*, 4930 (2021).\n" ] }, { "data": { "image/png": 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", "text/plain": [ "" ] }, "execution_count": 5, "metadata": { "image/png": { "width": 600 } }, "output_type": "execute_result" } ], "source": [ "from IPython.display import Image\n", "\n", "citation = \"M. Mantela, C. Simserides and R. Di Felice, LCAO electronic structure of nucleic acid bases and other heterocycles and transfer integrals in B-DNA, including structural variability. *Materials 14*, 4930 (2021)\"\n", "print(f\"Image taken from: {citation}.\")\n", "Image(filename=os.path.join(FIG_DIR,'base_translation_rotation.png'), width=600)" ] }, { "cell_type": "code", "execution_count": 6, "id": "e84d3458-7790-4d87-b870-125fc207a620", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "filename = \"wildtype_ATGAC\"\n", "filepath_pdb = os.path.join(DATA_DIR, \"my_geometries\", \"Biovia\", f\"{filename}.pdb\")\n", "\n", "oligo = Oligomer(filepath_pdb, lower_continued=False)\n", "oligo.save_tb_params()\n", "\n", "tb_sites = [['01A', '02T', '03G', '04A', '05C'], ['10T', '09A', '08C', '07T', '06G']]\n", "vis = Visualization(tb_sites, relaxation=False, source = filename)\n", "fig, ax = vis.plot_heatmap()\n", "\n", "if save:\n", " fig_filename = input(\"Filename for Saving: \")\n", " plt.savefig(os.path.join(SAVE_DIR, fig_filename + '.pdf'))" ] }, { "cell_type": "code", "execution_count": 7, "id": "79b82abd-9b65-4d60-809c-b7ace40f898c", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "filename = \"modified_ATGAC\"\n", "filepath_pdb = os.path.join(DATA_DIR, \"my_geometries\", \"Biovia\", f\"{filename}.pdb\")\n", "\n", "oligo = Oligomer(filepath_pdb, lower_continued=False)\n", "oligo.save_tb_params()\n", "\n", "tb_sites = [['01A', '02T', '03G', '04A', '05M'], ['10T', '09A', '08T', '07T', '06G']]\n", "vis = Visualization(tb_sites, relaxation=False, source = filename)\n", "fig, ax = vis.plot_heatmap()\n", "\n", "if save:\n", " fig_filename = input(\"Filename for Saving: \")\n", " plt.savefig(os.path.join(SAVE_DIR, fig_filename + '.pdf'))" ] }, { "cell_type": "markdown", "id": "0ac15a8f-463e-4e2f-8f09-f98dc9fa7537", "metadata": {}, "source": [ "## Example III: Pubchem Nucleobase Geometries" ] }, { "cell_type": "markdown", "id": "014db012-a8b1-4f89-8243-a022795860b6", "metadata": {}, "source": [ "To perform simulations at the nucleobase level with high accuracy, you can utilize geometries sourced from [*PubChem*](https://pubchem.ncbi.nlm.nih.gov/), a comprehensive database for small molecules and biological macromolecules. By downloading the molecular structure in the `JSON` file format from PubChem, you gain access to well-optimized geometries suitable for quantum mechanical simulations.\n", "\n", "In this example, we demonstrate how to leverage these geometries to calculate several important quantum properties, including:\n", "\n", "* **HOMO and LUMO Energies**\n", "The highest occupied molecular orbital (HOMO) and the lowest unoccupied molecular orbital (LUMO) energies are critical for understanding the electronic structure of a molecule. These values are directly related to the molecule's chemical reactivity, stability, and ability to participate in charge transfer processes.\n", "\n", "* **Higher and Lower Molecular Orbitals**\n", "Beyond the HOMO and LUMO, analyzing higher and lower molecular orbitals provides a more complete picture of the molecule's electronic structure and the distribution of electronic density.\n", "\n", "* **Dipole Moment**\n", "The dipole moment quantifies the separation of positive and negative charges within the molecule, reflecting its polarity. This property is crucial for understanding intermolecular interactions, such as hydrogen bonding and van der Waals forces.\n", "\n", "* **Oscillator Strength**\n", "The oscillator strength measures the intensity of electronic transitions between energy levels, which is essential for predicting absorption spectra and understanding light-matter interactions.\n", "\n", "Furthermore, we illustrate the occupation probabilities of the atomic orbitals for both the HOMO and LUMO. We find that pz orbitals dominate the electronic structure of both the HOMO and LUMO. This observation aligns with the expected electronic properties of nucleobases, where pi-bonding and delocalized electron systems primarily arise from pz orbital overlap." ] }, { "cell_type": "code", "execution_count": 8, "id": "d19cff14-ff24-4730-b75e-0fad300170e0", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "TB parameters\n", "E_HOMO_A: -8.4407322055674 E_LUMO_A: -4.353816583266127\n", "E_HOMO_B: -9.090176569811193 E_LUMO_B: -4.269864330116984\n", "t_HOMO: 0.6026700721388009 t_LUMO: -1.2373368159162437 t_EXC: 5.386221507600993\n" ] } ], "source": [ "mono_dict = {}\n", "for filename in ['A', 'T', 'G', 'C']:\n", " filepath = os.path.join(DATA_DIR, \"my_geometries\", \"Pubchem\", f\"{filename}.xyz\")\n", " mono_dict[filename] = Monomer([filepath])\n", "\n", "mono1, mono2 = mono_dict['A'], mono_dict['T']\n", "t_EXC = calc_dipolar_coupling(mono1, mono2)\n", "lcao_param = load_lcao_param('MSF')\n", "H_inter = calc_H_inter(lcao_param, mono1, mono2)\n", "t_HOMO = mono1.HOMO @ H_inter @ mono2.HOMO\n", "t_LUMO = mono1.LUMO @ H_inter @ mono2.LUMO\n", "\n", "print(\"TB parameters\")\n", "print(f\"E_HOMO_A: {mono1.E_HOMO}\", f\"E_LUMO_A: {mono1.E_LUMO}\")\n", "print(f\"E_HOMO_B: {mono2.E_HOMO}\", f\"E_LUMO_B: {mono2.E_LUMO}\")\n", "print(f\"t_HOMO: {t_HOMO}\", f\"t_LUMO: {t_LUMO}\", f\"t_EXC: {t_EXC}\")" ] }, { "cell_type": "code", "execution_count": 9, "id": "05fa4d13-7891-4e12-97f5-05bc065b46c2", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Dipole Moments\n", "-------------------------------\n", "Base A\n", "E_HOMO: [-1.38861688e-21 6.80150243e-21 1.29720970e-24]\n", "E_LUMO: [-1.38861688e-21 6.80150243e-21 1.29720970e-24]\n", "-----------------------\n", "Base T\n", "E_HOMO: [3.43998979e-20 5.71389727e-20 9.81324723e-25]\n", "E_LUMO: [3.43998979e-20 5.71389727e-20 9.81324723e-25]\n", "-----------------------\n", "Base G\n", "E_HOMO: [ 7.75630445e-20 -3.90737241e-21 9.59633023e-25]\n", "E_LUMO: [ 7.75630445e-20 -3.90737241e-21 9.59633023e-25]\n", "-----------------------\n", "Base C\n", "E_HOMO: [3.45158157e-20 6.64986768e-20 8.28890493e-25]\n", "E_LUMO: [3.45158157e-20 6.64986768e-20 8.28890493e-25]\n", "-----------------------\n" ] } ], "source": [ "print(\"Dipole Moments\")\n", "print(\"-------------------------------\")\n", "\n", "for filename, mono in mono_dict.items(): \n", " print(f\"Base {filename}\")\n", " print(f\"E_HOMO: {mono.dipole_moment}\")\n", " print(f\"E_LUMO: {mono.dipole_moment}\")\n", " print(\"-----------------------\")" ] }, { "cell_type": "code", "execution_count": 10, "id": "2da5ad61-df87-4dce-8b73-3c4775d9b5bc", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(2, 2, figsize=(6.4, 4.8))\n", "axes = ax.flatten()\n", "\n", "for i, (filename, mono) in enumerate(mono_dict.items()):\n", " \n", " atom_identifiers = []\n", " for atom_identifier in mono.atoms_id:\n", " atom, number = atom_identifier.split('_')\n", " atom_identifiers.append( f'${atom}_{{{number}}}$' )\n", " \n", " for j, atom_identifier in enumerate(atom_identifiers):\n", " axes[i].plot( mono.atoms_coordinates[j][0], mono.atoms_coordinates[j][1], '.', markersize=30)\n", " axes[i].text( mono.atoms_coordinates[j][0], mono.atoms_coordinates[j][1], f'{atom_identifier}', fontsize =15)\n", "\n", "if save:\n", " fig_filename = input(\"Filename for Saving: \")\n", " plt.savefig(os.path.join(SAVE_DIR, fig_filename + '.pdf'))" ] }, { "cell_type": "code", "execution_count": 11, "id": "73b96909-7f6d-4214-a8b3-de4e3ecb13e6", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "HOMO type: pi\n", "LUMO type: pi\n" ] }, { "data": { "image/png": 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SikQiymQy2tvbkyQtLy9rZmZGU1NTevDgAesxAwAAAEAf8fv9isfjDeeeKpfL19ZxlVu4l5aWGu7n9/uVSqWUTCbrLlvsNU+fic7n83rx4oWePHkiSZqdna1OODY0NKRUKuXV8AAAAAAAdVSepc7lcle2ZTKZK7eJX1Sp8ebn56/to9JG5bnsfuLpOtFDQ0MKh8OXXltaWtKbN290eHioe/fueTQyAAAAAEA9oVDI0UpI9VQK73dv435X5Sp1vULda54W0QAAAACAmyeRSFQnGKvI5XLXXoWWpNPT05b6udh+v/C8iK5MLjY1NaWpqSn95Cc/qU40BgAAAADoP5WZwC9OMFYoFJrOa1WZ2MxpcdxoBnAveVpEb21tKRgMKp1OK5/PK5/Pa21tTcFg8NIs3QAAAACA1uVyua6tuzw7O1u9pfu6Ja8uikQikqTDw8Nr96uMubJ/P/GsiD46OlI8HtfCwoLy+bxKpZJKpZLy+bx++MMfanZ2Vl9++aVXwwMAAACAG69QKFwqbitF6cuXLxse4/SW65WVFdm2rUKhoJ2dnWvXqa6oTBTW7Hnq7e3tah/9xrMienl5Wbu7u3r+/LnGx8c1NDSkoaEhjY+Pa3d3V9vb2327uDYAAACA/vHH/+eNfvc//qf+7wZ/brPt7e1Lt1j7/X5FIpGGE3blcrmmM2dXhEIhWZal1dVVx7dnW5alVCqlvb29hlfIbdvW+vq6lpaWmk5A5gXPiuihoSHNzMw03D47O6tAINDDEQEAAADAzXLdVeNG6yzv7u5WC9WLCoWCdnd3G04OVrnqfFFlgrF3b7t+/fq1pPrPPi8tLSmVSikWi10p5guFgqLRaHWffvQNrzoeGRlpug9FNIB2fT995Gi/XybGuzwSAAAA99m2rVQqVS1CV1dXlc1mJb0trAuFgmzbrjvRl9/vV6lUUjKZVCKRqL42MjJS9zbrcrmshYWFal8vX75UKpWSZVmKx+PKZrPVK8aFQkHpdLq6bywWUygUulIQLy0taXZ2VqlUSru7u5e27e7u9uUV6ArPimhjTFv7rKysaHV1tRtDAgAAADCA/ssP/4M++D//ldfDcJVlWW2t03yR0yu9fr//SqF7cVuleJfU0vrRbvwMXvDsdu5UKnXtvfYrKytaXFy88no/LrYNAAAAALgdPLsSbVmWyuWy7t6923Cfd+/RBwAAAADAS57ezh0Oh5suxn3R69evdXBw0MVRAQAAAADQmKdXol+8eNHycdPT010YDQAAAAAAzXn6THQ7KotzAwAAAADQa55diQ6Hw033OTk50f3791s+DgAAoBd+/6PJpvt852eHPRgJAKBXPLsS7UQsFvN6CAAAAAD6lM/nk/S/l8Z1sIQuBtubN2+qf6+8N7rBsyvRW1tb127P5/OybbtHowEAAAB6z8ndDJKkv9ns7kBuKJ/Pp29+85s6++P/1Lf+9P/TN/6P/5fXQ4KH/vCHP0iSvvnNbw5mEb20tKSzs7O33xq9w+fzyRjT1R8cAAAAwM337W9/W/b/91zfOn8tSbr7zf9DqlNHXLxKicHy5s0b/eEPf9C//Mu/SHr7nugmz4ro4eFhbW5uKhQKXXq9XC7r5cuXKhQKrBMNAAAA4FojIyP68uj3kv6ob//pX/TNb/jqXoz7b6d9/SQrXPKtb31LIyMjXe3D0yWuZmZm6m4bHx/X2dmZMpmMnjx50uORAQAAALgp7t69q1/8d5/GR4yC9/4k/zfr7/fg//xXvR0Yeuqb3/ymvv3tb2tkZER3797tal+eFdHN1ogeGhqqe6s3AAAAAFz0pzc+/V//Q/q//odPPhndrfNU6C/+3/+h9wNDT/h89e8+6BbPimgnTk9PvR4CAAAAgBvEyKf/p861uDt3uJ0b7vCsiD4/P792++HhoQqFQo9GAwAAAABAc54V0X6/v+kl92w226PRAAAAAADQnKcTi4VCIVmWdWX2NL/fr0gkotHRUY9GBwAAAADAVZ5eid7Z2fGqewAAAAAAWubZ0/Wbm5tedQ0AAAAAQFs8K6LHx8cl1Z9g7ODgoNfDAQAAAACgKU/neZ+bm1MgENAHH3xw6fVAIKD5+XmPRgUAAAAAQH2eFdErKytaWVnRw4cP9fDhw0vbxsfHlclktLGx4dHoAAAAAAC4yrOJxUqlksbHxxsuYzU0NNTjEQEAAAAAcD3Piuhma0RLUrFY7MFIANw0v//RZPOd/obJC9G576ePmu7zy8R4D0YCAAD6hWe3cxeLRX355ZdN9wEAAAAAoF94VkQvLS0pFArps88+u7Lt/Pxcjx490vT0tAcjAwAAAACgPs9u545EIkomk5qZmVEgEJBlWRoeHpZt27JtW5Zl6cmTJ14ND13k5Fbc7/zssAcjAQAAAIDWeLrE1dLSkg4PD3X//n3l83lls1kVi0XNzMzod7/7nZdDAwAAAADgCs+uRFeEQiHl83lJ0vHxsUZHRz0eEQAAAAAA9XleRJ+fn+vevXuSVC2gDw4OrqwdDQAAcBMxyzsADBZPb+eem5tTIBDQBx98cOn1QCCg+fl5j0YFAAAAAEB9nl2JXllZ0crKikqlkoLB4KVt4+PjymQy2tjYYHIxAAAA4BZzMimt/maz+wMB/jfPiuhSqaTx8XFls9m624eGhno8IgAAAAAArufZ7dw+n6/pPsVisQcjAQAAAADAGc+K6GKxqC+//LLpPgAAAAAA9AvPiuilpSWFQiF99tlnV7adn5/r0aNHmp6e9mBkAAAAAADU59kz0ZFIRMlkUjMzMwoEArIsS8PDw7JtW7Zty7IsJhUDAAAAAPQVT9eJXlpaUiQS0cLCgvL5fPX12dlZ7ezseDgyeI01NQEAAAD0I0+LaEkKhULVAvr4+Fijo6MejwgAAAAAgPo8eya6HgpoAAAAAEA/8+xK9MHBgWzbliRZlqWHDx96NRQAAAB0ye9/NNl8p7/Z7P5AAMAlPS+iHz9+rEwmU3dbIpHQ2tqa7t271+NRAQAAAADQXM9u5z44ONDIyIjS6bSMMTLGaGhoqPp3Y4yeP38uy7L061//ulfDAgAAAADAsZ4U0fv7+4pEIgoEAkqn0yoWi3rz5o1OT0/15s0bvXnzRvl8Xmtra/rzn/+sSCSi3/zmN70YGgAAAAAAjvWkiI7FYkqlUvriiy+0sLBQdwKx8fFxLS0tqVQq6cmTJ5qdne3F0AAAAAAAcKzrRfSzZ880Nzenp0+fOj4mlUrphz/8oTY2Nro4MgAAAAAAWtP1IjqXy+n58+ctH5dKpZTNZrswIgAAAAAA2tP12bmHhoY8ORYAbjMnS8p852eHPRgJAADAYOn6leiRkRFPjgUAAAAAwG1dvxJt27Ynx1aOTyaTsiyr+loqler6sUAvfD991HSfXybGezASAAAA4PboehE9Pj6un/70p/q7v/u7lo779NNP687i7VS5XNbExISOj4/l9/slSZlMRtFotOmz1p0cCwAAAAAYXF2/nXt5eVlPnz5tad3n/f19LSwsaHl5ue1+k8mkIpFItQiWpHg8rlwup1wu17VjAQAAAACDq+tXov1+vzKZjEKhkJLJpJaXl3Xv3r26+7569UrpdFqZTEbPnz/X/fv32+53Z2dHKysrV163LEvZbFaRSKQrxwLATcEjAQAAAK3rehEtSbOzs3ry5InW1taUSqVkWZYsy6pe6S2Xyzo8PFS5XJYxRvF4XAsLC233Vy6XVS6XL11JrrAs69qryZ0cC7jFyczK+pvN7g8EAJrgyxgAwG3jM8aYXnVWKBQUi8V0fHxcG4DPp8oQ/H6/dnd3FQ6HO+5nYmJC6XRa8Xj80rZoNKrDw0OVSiXXj73oww8/rPv6b3/7W7333nsKBoMOf5rB87/+qfmEcf/8r/5t032+G/iWG8PpS2R0PbfykciomUHNRyIjJ8ioOTJqjoyu5yQfiYyauc35oD3BYFC/+MUv2jq2J1eiK0KhkIrFovb397W7u6vT01OVy2VZlqVoNKqZmZleDscTPp9P7733XsftFItFSeq4GHernVbaeu/fWdduLxaL0h//qW9+Ni/aIaP+eA+1MqZ+a4eM+icjLz5n3WrnpmXEv2n92Q4ZdfYeqrZFRte3c8v/Tbtp7dx0PS2iK8LhcMdXm/vd559/3tX2K1e6O+3HrXb6cUyD2k4/jmlQ2+nHMfVbO/04pkFtpx/HNKjt9OOYBrWdfhxTv7XTj2Ma1Hb6cUyD2s5N1/XZub1Q73nmi4aHh7tyLAAAAABgsA1kEV2ZtKxyu8FFtm1fO7t2J8cCAAAAAAbbQBbRkjQ3NyfbvjoJgW3bisViXTsWAAAAADC4BraITiaTyuVyl4rhTCajSCRy6WqybdsKBAJaX19v+VgAAAAAwO3iycRivWBZlvb395VKpRQMBvX69WuVy2Vls9m6+198FrrVYwEAAAAAt0NP14kGAAAAAOAmG9jbuQEAAAAAcBtFNAAAAAAADlFEAwAAAADgEEU0AAAAAAAOUUQDAAAAAOAQRTQAAAAAAA5RRN8C5+fnrrQzNzenR48eaWNjQ69evWq7nZOTE1fG4yY3MnIrH4mMmunHfCQycoKMbhYyao6MmiOj5sjoeuSDfkMR3ef29/e1sbEhSXr16lXLHyKLi4saHR2VJJ2dnenx48dtn8Rubm4qHo/riy++0OzsrO7evatHjx5pa2urpXZ2d3d1cHBQHdOjR4/05ZdftjWmTvOR3MvIrXwkMmrGzXwkMnKCjHqnn75o6MeM+u2L4UHNyM0vhsmoOTK6Xj/mg1vOoK+tr6+bXC5n9vb2zNjYmFleXjY///nPWzr+olKpZJaXl10ZWz6fN9Fo1MRiMTM5OWnOzs4cHVcoFEwsFjNHR0fVdiYnJ9saQ6f5VNq4yK2M2s3HGDJqxs18jCEjJ8iouVwuZ549e2aMMebo6MgcHx+33EYikTDDw8PGGGPK5bJZXFxs6bOjolwum729PZNIJEwwGDR37twx09PTZnNzs6V2+i0jt/KpHN9vGQ3ie8gYMnKCjK7Xb59F/dpOv45pEFFE97nKmzcWi1U/cN49Eb3O3t6eWVxcNCcnJ1fadHN82WzW8cnw5OSkKRQKZn193ZydnZlyuWwCgUBH/bebjzHdzaidfIwho2bczOfiGMio+RjIqLFB/KKh3zLqxy+G3cxoEN9DxpCRE2R0vX77LOrXdvp1TIOI27n73FdffaWTkxPlcjlFIhFJkt/vd3z8y5cvVSwWNT4+rpGREU1NTalYLLY1lrm5uUu3TR4cHFTbikQiMsY4aqdYLGpsbExPnz7Vxx9/rHw+r5WVlbbG1Gk+knsZuZWPREbNuJmPREZOkFFzPp9P4XBY29vbSiaTWl1dbfnnsyxLjx8/rt6m6Pf7NTIy0vaYKkKhkKanp7Wzs6PV1VWtrq46Oq7fMupWPlJ/ZDSI7yGJjJwgo+v122dRv7bTr2MaRBTRfW5lZUVra2uKx+O6f/++Dg4OdHZ25vj4999/Xy9evNDp6alevnypcDisaDTa1lgsy9Lp6akWFha0s7OjZDKpWCyms7MzLS4u6v3333fUzu7urtLptCRpeXlZa2trbY+p03wk9zJyKx+JjJpxMx+JjJwgo+YG8YuGfsuoH78YdjOjQXwPSWTkBBldr98+i/q1nX4d00Dy6hI4Wlcul83ExERLz5Ekk8krt8q0e/vkxWcj3pXJZNp+VqJUKplEItHWsRe1k48x7mXUrXyMIaNm3MrHGDJygozqK5fLJpFImGQyaYwxZn9/v+Wf7+L+xWLRJJPJtm6fSyaTplwum93dXRONRs3k5KTZ39+vjrHdfwe8zsitfIzpz4xuw3vIGDJygoyu5/VnUb+2069jGkQU0R5y6zmuZhKJRPWkMhAImMXFxZ7026le5WMMGTlBRs2RUXM3NaNWDeoXDW4a1C+G3cJ7qDkyao6Mmms3o35vp1/HNCgooj00Njbm9RD6Gvk0R0bNkVFzZNRc5SpMuzNBt+KmftHQq4zIpzkyao6MmrupGbk9YWW/tONmW1xR7hxFtId8Pp8ZGxszz549q07Z388KhYKZmJgwY2NjZm5uzpyfn3e1nduaTytt3daMWmmHjMjIjXaKxaIJBALmzp071VlKbwMyas5pRrc1H2PIyAkyul4rn0Vzc3Ou9Nlv7bjZlptjuq0ooj0UjUaNMZfX0FtcXHT1RPbdD51OvrmMxWIml8uZXC5n4vG4GRsba+s2HKft9CIfY9zLyK18WmnrtmbUSjtkREZutROLxUwmkzG2bZtyuXxpW6+uDDnl1hcNZNRcKxndxnyMISMnyOh6reQTCATM1NSU2djY6OjfsH5rp1/HdFtRRHuoUCjUfd3NE1k3C7t6awa2c2uP03Z6kY8x7mXkVj6ttHVbM2qlHTJq3g4ZNW/n2bNnDXMypjYBS6draPbbFw39llE/fjHsNKPb+h4yhoycIKPrtfJZFAgETCAQMD6fz9y5c8fcuXPHPHr0qOG/YY1ube63dvp1TLcVRXQfs23bJBKJ6ht8enq65TbcLuze/Qbx3fZ72Y4b+dTru5MTcjd+LjfbGtSM3MyajJojI+N4nHt7ex2dvPbjFw39lFG/fjHsJKPb+h6qtEVGzdsio+vbcfpZVJm127Ztk06nzezsbPUW+Mqf6enp6lXYRrc291s7/Tqm2+obXi+xhasODg6USqWUy+VkjNHs7KxWVlY0Pj7eVntff/21vv3tb0t6u76bZVltj+3+/fuam5tTNBqVZVny+XzVbScnJ7p//37X23E7H8m9jNzKp9O2bkNGnbZDRmTkZjsVMzMzevbsmc7Pz3Xv3r2WjpWkqakphcNhSVI4HFa5XNbKyoo++eSTltvqt6wrOsnIzXyk/sxoEN9DEhk5QUbXc5pPLBaTJI2Ojioejysej0uSpqenFYvF9OLFC+3v7yubzV5q41391k6/jum2oojuI1tbW0qlUrJtW8YYLS0tKZFIaHR0tKN23fpQLhaLyuVyyuVy+od/+AflcjlJ0suXLzU1NaVsNqtf/epXXWunW/lI7mTkVj6dtHVbMuqkHTIio3baOT09dfwzxuNxra6uanV11fExF/VTYdePGfVb0eI0o9v6HpLIyAkyul4rn0WV4v9dlmVpYWFBCwsLkqTj42Nls1mtrKzU3b/f2unXMd1WFNEeOz8/1+rqqjKZjEqlkizL0vPnz6tv3k65WdhNTEwon8/r6dOn1deOj4+Vy+WUz+d1eHjoejvdzkdyLyO38mm1rduYUavtkFHzdsjo+naMMY6v6AwNDalUKjkaQz399EVDP2bUb18MO83otr6HJDJygoyu18pnUaOxvXtFtXIVtlAo1O2z39rp1zHdWh7cQo7/bW5uzty5c8f4fD4TjUZNLpdzvY9MJnNlYXTbtk0mkzGJRMIMDw8bY4zjJRLenQXyor29PdfaMaY3+RjjLCM3fy4y6t17yBgyuq6dCjJq3M7Fv7fyTFi7z0UmEglTKBTM+vq6icVi1clf5ubmzLNnzxw/j+4ka6frzfZTRm7lY0zvMxrE95AxztctJiMyquj2Z1Gjn7nR643+zeu3dvp1TLcVRbSHfD6fmZ6ebntSFDdPEsfGxtoaw7vcaseYzvMxxr2M3Py5yOh6buZjDBk5QUbORKNRs7Gx4Wjfdk9ce3nC2Y31ZrudUa+LFrczGrT3kDHur1tMRs0NWkZu5zM5OWlevXp15fXKZFo3tZ1+HdNtRRHtoYmJCbO+vl5dPmZzc/Pak9h3P6TcLsbGxsY6XsLGrXaM6TwfY9zLyM2fi4x6004FGTVHRs6USiUTCASanrweHx+bWCx25fV+POF0e73ZTjLq16LFzYwG8T1kDBk5QUbXczOfypiGh4cvzTDd6AuF69ab7qd2+nVMtxVFtIfe/bancttMoxPZd2/fcfMkMRqNGmM6XxfWrXaM6TwfY9zLyM2fi4x6004FGTVHRs7t7u4an89nHjx4YLa2tq6c2B0fH5uxsbG6ffTbCWe31pttN6N+LFq6kdEgvYeMISMnyOh6budT+WI4EokYn8/XdC3kRoVjv7XTr2O6rSii+9jFE9loNGru3LlzabubJ4mNPrxabdutdpyO+bp8jHEvIzd/LjLqn/dQpT8yaj5uMqrJZrPG7/dXTzjGxsbM9PS0GRsbM3fu3DHJZLLhsf10wtnN9WbbzajfipZuZTQo7yFjyIiM+u/3rN4Xw6lUykSj0SsFYyWvm9BOv47ptqKIviGKxaIJBoOXXuvlibRt2yaRSFR/qVqZvKUb7byrXj7G9C4jN38uMupNO/WQUXNkVJNKpYxlWdUTjomJiUuT27yr3044W7mysL6+3vKt3ca0llE/Fi3dzuimv4daacsYMnLiNmbUi8+iiyoFY+UqbL0vhm9iO/06pkFFEX2DtPqwvxsnifv7+2Z6ero6c28sFrv2g7fb7VynnckQOs3IzZ+LjHrTTjNk1BwZtaffTjhbmeG3XC67MvHYdfqxaBnUjNwsWsiIjJzo59+zyp1Ug9aOm225OaZBQRE9gNw4Sdzc3KzeDuTz+UwymTS2bbc8FrfacVunGbn5c5FRb9rpBjJqjoxq+u2EMxaLtXRFp9uztvZj0TKoGblZtJARGTnRz79nbrXXb+242Razdl9FET1AOj1JPDs7M8vLy2Z4eNj4fD4TDAZNJpNpeRxutdMNnWTk5s9FRr1pp1vIqDkyuqrfTjh7td6sU/1YtAxqRm4WLWT0Fhk1d1N+zwAnKKJvOLdOEufm5qonu9FotO1F1d1qx01uZOTmz0VGvWnHbWTUHBldrx9POHux3qxT/Vq0DGJGbhctZERGTtyU3zPACYroG8zNk0Sfz2emp6c7XgfOrXbc4lZGbv5cZNSbdtxERs2RUXP9eMLZ6XqzburXomVQM3KzaCEjMuq0nX7KB3CCIvoGc/MksbJeXKN1Yd/V6BtMt9pxi1sZuflzkdFbN+U9ZAwZOUFGzvTjCWcn6826rV+LlkHMyO2ihYzI6Do37fcMaIYi+gZz8ySx3npx17Xd6BtMt9pxi1sZuflzkdFbN+U9ZAwZOUFGzvTrCWcn6826qZ+LlkHMyO2ihYyaI6Pr9Us+QDMU0TdYL08SL7YdjUY7WnfOjXac6lVGbv5cZNSbdlpBRs2RkXP9fMLZ6nqz3dDvRcugZdSNooWMmiOj6/VDPsB1KKIHWLdOEovFogkGg33TTie6kZGbPxcZ9aadTpFRc2R0GSec1xvUosVNvIeaI6PmyAhoD0X0LeH2SeIgrjvnZkb9uMafG/oxo37KxxgycoKMajjhvB75NEdGzZFRc2QEtMZnjDHCrbC4uKjnz597PYy+RkbNkVFzZNQcGQEAgJuKIhoAAAAAAIfueD0AAAAAAABuCopoAAAAAAAcoogGAAAAAMAhimgAAAAAAByiiAYAAAAAwCGKaAAAAAAAHKKIBgAAAADAIYpoAAAAAAAcoogGAAAAAMAhimgAAAAAAByiiAYAAAAAwCGK6B776KOP9NFHH3k9DAAAAABAG77h9QBum2Kx6PUQAAAAAABt8uRK9MnJiRfdAgAAAADQEU+K6EQi4UW3AAAAAAB0pCu3c5+fnyuXy+n09PTKtnK5rMPDw250CwAAAABAV7leRO/v7ysajV67j8/nc7tbAAAAAAC6zvUiOpVKKZVKKRKJyO/3X9leKpU0Pz/vdrcAAAAAAHSd60V0KBTS06dPG24fHR3V+Pi4290CAADAge+njxzt98sE52sAUI/rE4s5uVV7Z2fH7W4BAAAAAOg614toy7KaLmH1+PFjt7sFAAAAAKDrXL+de2FhQZ9++qlyuZwikYiGh4ev7JPL5dzuFgAAAACArnO9iB4ZGZH0dikrAAAAAAAGietFtDFGkUhElmVVC+qLvvrqK21tbbndLQAAAAAAXed6EW1ZVtOJw46OnM0KCQAAAABAP3F9YrHNzc2m+6RSKbe7BQAAAACg61y/En1xDeitrS3l83mdnp7qe9/7nhYWFnTv3j3WiQYA3Aq//9Gko/2+87PDLo8EAAC4xfUiWpJevXql2dlZ2bZdfW13d1cff/yx9vb29Ld/+7fd6BYAAAAAgK5yvYg+OzvT7OysZmdnFY1GZVmWJMm2be3s7Gh2dlbHx8e6d++e210DAAAAANBVrhfRa2trSqfTCofDl14fHR1VOBxWLBZTMpnUJ5984nbXAAAAAAB0lesTixljrhTQF0UiEb1+/drtbgEAAAAA6DrXi2ifz9d0n3rrRwMAAAAA0O9cL6JLpVLTfU5PT93uFgAAAACArnO9iJ6YmNDjx48bbn/8+LGmpqbc7hYAAAAAgK5zfWKxhYUFRaNRjYyMKBqNanR0VNLb2blzuZwsy2JSMQAAAADAjdSVdaKz2aySyaSePXt26fXZ2Vnt7Ox0o0sAAAAAALrO9du5K1KplN68eaNsNqtsNqtSqUQBDQAAAAC40bpWRFeEw2GFw2ENDQ1VX9vY2Oh2twAAAAAAuK7rRfS7zs/Ptb293etuAQAAAADoWEdF9PT0tL7xjW/o5OSk1uCdO7p7927DP4FAQIVCodNxAwAAAADQcx1NLFYsFvXmzRuVy+Xqa5ZlKRQKNVzG6quvvtLW1lYn3QIAAAAA4ImOi+jj4+PqMlaS5Pf7m04gdnR01Em3AAAAAAB4ouNnoi8W0JK0v7/f9Jh0Ot1ptwAAAAAA9JzrE4tdnIW7kXcLbwAAAAAAboKObueu5+TkRPfv37/02v7+vrLZrN5//31FIhH99V//tdvdAgAAAADQda5fiU4kEldeC4fDWltb08LCgorFIutEAwAAAABuJNeLaGNMw21DQ0OamZlRsVh0u1sAAAAAALrO9SLa5/Ndu/3Vq1c6PDx0u1sAAAAAALqu42eiFxcXdXh4qOPjY0lSuVzWyMhI3X0r60kzOzcAAAAA4CbquIh+/vy5JKlQKCgWi0l6+wx0PZZlKRqNNtwOAAAAAEA/c2127lAopGw2q8XFRe3s7LjVLAAAAAAAfcPVZ6Ity6o7O3fFq1evdH5+7maXAAAAAAD0jOvrRM/MzDTcViwW9fLlS52dnenJkydudw0AAAAAQFe5Pjv3dWZmZjQ3N6ft7e1edgsAAAAAgCu6UkRvbW3pwYMHunv37pU/w8PDGh4e7ka3AAAAAAB0leu3cx8dHSkejysSiSgcDuvw8FCTk5OSJNu2ZVlWdUZvAAAAAABuEteL6LW1NeXzeY2Pj0uSNjc3FY1Gdf/+fUnS8fGxtra29OMf/9jtrgEAAAAA6CrXb+ceHR2tFtDS2xm7bdu+tN0Y43a3AAAAAAB0netXon0+36X/DofDmp+f18OHD6uvnZ2dud0t4Km9vT0lk0lX2kqn04pEIq60BQAAAMBdrl+JNsbo5OREjx8/1snJiaS3S1t99tln1X2y2azb3QKesm1btm3L7/crlUopm80qn89X/8zOzlb3SSQSl7Zls1mlUin5/X7Ztq1yuez1jwMAAACgAdevRCcSCUUiER0fHysYDOrJkydaXl7WzMyMJiYmVC6XucqGgfP69WtFIpGGXxBFo1Gtr69LkiKRiPx+f3Wb3++XZVmanZ1VMBi89PgDAAAAgP7iehE9OjqqfD6vw8NDhcNhSdLs7KzW1ta0vLysUCikVCrVcT+2bSuZTMqyrOprTtstFAra3t5WuVyWbduKRqNaWlq6sp/P51MoFKrOLn54eCjLsrS7u9vx+DFYKu/HTiWTSRWLRRdGBAAAAKAbXC+iJWloaKhaQFcsLS3VLVTbUS6XNTExoePj4+oVvUwmo2g02vRW8UoBXSm4K21ls9krx1Zury0UCgqFQkokEorH4678DBgs5XK5+mVLJyKRiPL5vAsjAgAAANANrj8T3QvJZPLKLbHxeFy5XE65XO7aY1dXVy9dsa48w5rL5bS3t3dp33g8rlKpJGOM8vk8BTSudfH92K53Z7MHAAAA0F+6VkRXJhebmprS1NSUfvKTn1QnGuvUzs6OpqamrrxuWVbTK9F7e3uKxWKXXqs8o82EZwAAAACA63Tldu6trS0lEolL60Hn83mlUint7e3pBz/4Qdttl8tllcvlulf9LMtqeiU6FAppeHi47rbT09O6/VXafPfqN1Dh5hcwfJkDAAAA9C/Xi+ijoyPF43HF43ElEonqxF+2bevjjz+uLvXz3e9+t632m93q2mx7vedNDw8PJenK1e29vT0Fg0HNzc3p9PRU4XDY8XPRH374Yd3Xi8WigsFg0+MBAAAAAP3H9SJ6eXlZu7u7mpmZufT6+Pi4dnd3tbe3p6WlJW1vb7vdddtSqZQsy7oy8Vk2m61+CeD3+7W5uamJiQlNTk4qFAp5MVQAAAAAgIdcL6KHhoauFNAXzc7ONr3lupfW19dl23bdK9QXl8+SVC2ct7e3mxbRn3/+ed3XG12hBgAAAAD0P9cnFhsZGWm6TyAQaLv9Zs8kN3reuZ5cLqft7W3l8/kr7cZiMa2vr9c9jtmTAQAAAOB2cr2IvjiZWCv7rKysOGrfsiz5/X4Vi8Ur22zbrs603UyhUFA6nb5UQF8sjvf29ur2URkDAAAAAOD2cb2ITqVSmp+fb7h9ZWVFi4uLV15v5Rbvubm5uleDbdu+snxVPZUCend399Lr6XS6+vd4PH7pvyVV15G+7ucDAAAAAAwu15+JtixL5XJZd+/ebbhPo9uknUomk5qYmJBt29WrwplMRpFI5NKVaNu2NTExoZWVleqkYZVCe3Z2tjqO169fy7btS7NzJxIJra+vX5psbHV1VUtLS0wqBuDW+f2PJh3t952fHXZ5JAAAAN5yvYg2xigcDrd0y/Pr1691cHDgeH/LsrS/v69UKqVgMKjXr1+rXC43XF/34vPO0WhUtm3XLeQTiUT175VCOZlMSnpbfK+srGh2dtbxOAEAAAAAg6UrV6JfvHjR8nHT09Mt7R8Kha7cbl1vLKVS6dJrjZ5zbtQHV50BAAAAABVdeSa6HZUrvgAAAAAA9CvXi+hwONx0n5OTk7aOAwAAAADAS64X0U44mUEbGCQXn9dvZSZ6AAAAAP3F9Weit7a2rt2ez+frLk8FDJJMJqNUKqXT01OVy+VL25LJpFZXVyVJw8PDSqVSTFgHAAAA3BCuF9FLS0s6OzuTMebKNp/PJ2OMfD6f290CfSUejysej3s9DAAAAAAuc72IHh4e1ubm5pVZrcvlsl6+fKlCodDxOtEAAAAAAHihK0tczczM1N02Pj6us7MzZTIZPXnyxO2uAQAAAADoKtcnFmu2RvTQ0FDdW70BAAAAAOh3nszOfXp66kW3AAAAAAB0xPXbuc/Pz6/dfnh4qEKh4Ha3AAAAAAB0netFtN/vbzr79sU1cwEAAAAAuCm6MrFYKBSSZVkaGRm5tM3v9ysSiWh0dNTtbgEAAAAA6LquXIne2dlxu1kAAAAAADzn+sRim5ubbjcJAAAAAEBfcL2IHh8fl1R/grGDgwO3uwMAAAAAoGe6ssTV3NycAoGAPvjgg0uvBwIBzc/Pd6NLAAAAAAC6zvUiemVlRSsrK3r48KEePnx4adv4+LgymYw2Njbc7hYAAAAAgK5zfWKxUqmk8fHxhstYDQ0Nud0lAAAAAAA94fqV6GZrREtSsVh0u1sAAAAAALrO9SK6WCzqyy+/bLoPAAAAAAA3jetF9NLSkkKhkD777LMr287Pz/Xo0SNNT0+73S0AAAAAAF3n+jPRkUhEyWRSMzMzCgQCsixLw8PDsm1btm3Lsiw9efLE7W4BAMAt8/30kaP9fpkY7/JIAAC3SVeWuFpaWtLh4aHu37+vfD6vbDarYrGomZkZ/e53v+tGlwAAAAAAdJ3rV6IrQqGQ8vm8JOn4+Fijo6Pd6goAAAAAgJ7oypVo6e3zzxWVAvrg4KBb3QEAAAAA0HVdKaLn5uYUCAT0wQcfXHo9EAhofn6+G10CAAAAANB1rhfRKysrWllZ0cOHD/Xw4cNL28bHx5XJZLSxseF2twAAAAAAdJ3rz0SXSiWNj48rm83W3T40NOR2lwDgOmb9BQAAQD2uX4n2+XxN9ykWi253CwAAAABA17leRBeLRX355ZdN9wEAAAAA4KZx/XbupaUlhUIhbW1t6Qc/+MGlbefn54rFYpqenna7W9xgv//RpKP9vvOzwy6PBAAAAACu53oRHYlElEwmNTMzo0AgIMuyNDw8LNu2Zdu2LMvSkydP3O4WuHX48gEYHDyDDwDAzdGVJa6WlpZ0eHio+/fvK5/PK5vNqlgsamZmRr/73e+60SUAAAAAAF3n+pXoilAopHw+L0k6Pj7W6Ohot7oCAAAAAKAnulZEX0QBDQC3A7clAwCAQed6EX1wcCDbtiVJlmXp4cOHbncBAACAdzidK0N/s9ndgQDAgHOtiH78+LEymUzdbYlEQmtra7p3755b3QEAAAAA0HMdTyx2cHCgkZERpdNpGWNkjNHQ0FD178YYPX/+XJZl6de//rUbYwYAAAAAwBMdFdH7+/uKRCIKBAJKp9MqFot68+aNTk9P9ebNG71580b5fF5ra2v685//rEgkot/85jdujR0AAAAAgJ7q6HbuWCymVCqlp0+fNtxnfHxc4+PjWlpaUjKZ1OzsLMtcAQAA4EZh4sT2kBsGUdtXop89e6a5ublrC+h3pVIp/fCHP9TGxka73QIAAAAA4Jm2r0Tncjn96le/avm4VCqlR48e6cmTJ+12DQAABhizTAMA+lnbRfTQ0FDbnXZyLG4vbgcCAADoD3zZhdus7du5R0ZG2u60k2MBAAAAAPBK21eibdtuu9NOjr3YRjKZlGVZ1ddSqZSrx3bSBwAAAABg8LRdRI+Pj+unP/2p/u7v/q6l4z799FONjo62260kqVwua2JiQsfHx/L7/ZKkTCajaDSqbDbryrGd9AEAAAAAGExtF9HLy8uyLEuTk5P6q7/6K0fH7O/va2FhQfl8vt1uJUnJZFKRSKRa3EpSPB5XIpFQLpdTJBLp+NhO+gAAAACAdzl9lnzB4bPkm/+fBdfaYl4h59ouov1+vzKZjEKhkJLJpJaXl3Xv3r26+7569UrpdFqZTEbPnz/X/fv32+1WkrSzs6OVlZUrr1uWpWw2e22B6/TYTvoA+gkTsgEA0BgTZAFoVdtFtCTNzs7qyZMnWltbUyqVkmVZsiyrevW2XC7r8PBQ5XJZxhjF43EtLDT/tuQ65XJZ5XL50hXiCsuylMvlOj62kz4AAAAAAIOroyJaejvR1vz8vGKxmIrFoorFoiTJ5/PJGCPp7VXr3d1dhcPhTrtrOinZddudHttJHxUffvhh3dd/+9vf6r333mu4/Tb6X//kbKK5f34x62i/D//LtzoZzo1Bbu1xnNu/+reO9iO3y3i/XUZu7SG39pBbe8itPeTWHrdzC//Pf3atrdvy/0FFMBjUL37xi7aO7biIlqRQKKRisaj9/X3t7u7q9PRU5XJZlmUpGo1qZmbGjW4Ggs/n03vvvedKW5UvLILBYN+110pb7/07q+k+xWJR+uM/9XxsvW6P3LrfFrm11xa5tdcWubXXFrm11xa5tdcWubXXFrm115bruQWub8/N/w+q7cm9/x9uKleK6IpwOOzK1eZB8Pnnn3e9j8rVbLf6crM9xuZ9W263x9i8b8vt9hib92253R5j874tt9tjbN635XZ7jM37ttxuj7HdPne8HkCr6j2nfNHw8HDHx3bSBwAAAABgcN24IroycVnlVoKLbNu+dtZsp8d20gcAAAAAYHDduCJakubm5upO7mXbtmKxmCvHdtIHAAAAAGAw3cgiOplMKpfLXSpyM5mMIpHIpavEtm0rEAhofX295WOd7gcAAAAAuD1cnVisVyzL0v7+vlKplILBoF6/fq1yuaxsNlt3/4vPODs9ttU+AAAAAACDz2cqizkDAAAAAIBr3cjbuQEAAAAA8AJFNAAAAAAADlFEAwAAAADgEEU0AAAAAAAOUUQDAAAAAOAQRTQAAAAAAA5RRN8y5+fnXg+hrpOTE6+HcC1ya49buc3NzenRo0fa2NjQq1evOm6P3NrT77n1K3JrD7m1h9zaQ27tITfcVhTRN8D+/r42NjYkSa9evWr7A2txcVGjo6OSpLOzMz1+/Ljtk3W3T853d3d1cHBQHdujR4/05ZdfdtQmubWnH3Pb3NxUPB7XF198odnZWd29e1ePHj3S1tZWW+2R2+DlJvXvlw/k1h5yaw+5tYfc2tON3IAbwaDvra+vm1wuZ/b29szY2JhZXl42P//5z9tq56JSqWSWl5fbGlO5XDZ7e3smkUiYYDBo7ty5Y6anp83m5mZb7RUKBROLxczR0ZExxph8Pm8mJyfbaquC3NrTj7m9K5/Pm2g0amKxmJmcnDRnZ2ctHU9ug5dbIpEww8PDxpi3v2eLi4st/3wVt+n3lNzIzQlyaw+5tSeXy5lnz54ZY4w5Ojoyx8fHfdEWY8NFFNE3QOVNHIvFqh9y755oO7G3t2cWFxfNycnJlbY71enJ+eTkpCkUCmZ9fd2cnZ2ZcrlsAoFAR2Mit/bchNwutpXNZlsuMslt8HLr5y8fyI3cWkFu7SG39vRjbm59+eB2W4yt/bENIm7nvgG++uornZycKJfLKRKJSJL8fn/L7bx8+VLFYlHj4+MaGRnR1NSUisWiK2MMhUKanp7Wzs6OVldXtbq62tLxxWJRY2Njevr0qT7++GPl83mtrKx0NCZya08/5jY3N3fpVuSDg4NqW5FIRMaYltojt8HLzbIsPX78uHobod/v18jISEdjqxjk31NyIzcnyK095NYen8+ncDis7e1tJZNJra6utv3voJttMTZ3zn0HBUX0DbCysqK1tTXF43Hdv39fBwcHOjs7a7md999/Xy9evNDp6alevnypcDisaDTa1pjcPjnf3d1VOp2WJC0vL2ttba3tsVWQW3v6MTfLsnR6eqqFhQXt7OwomUwqFovp7OxMi4uLev/991tqj9wGL7d+/vKB3MjtOuRGbs3cttzc+vLB7bYYW/tjG0ieXQNHW8rlspmYmGjr2ZVkMnnlNp12bxNNJpOmXC6b3d1dE41GzeTkpNnf3zflctkkEomObz8tlUomkUh01MZF5Naefsnt4rM578pkMh0/q0Nu7emn3C7+nMVi0SSTybZvPbtNv6fkRm6tIrf2kJtzlbEkk0ljjDH7+/ttj8vNthibe4+WDQKK6FsmkUhUT5wDgYBZXFxsq51un5z3m0HJza1nqJxyKzevkVt7Kid67U6A02pfN+XLh2bIrT3k1h5yaw+59UYnXz50sy2327tNYxsUFNF95OzszOzv75ujo6OefCgPCnJzbmxszOsh3Ejk1p5isWgCgYC5c+dOdWKSbhqULx/IrT3k1h5yaw+5tacbE2X2Y3u3aWy3FUV0Hzg7OzNzc3Pmzp07l/48evTIvHr1yuvh9UShUDATExNmbGzMzM3NmfPz86bHkFvrufl8PjM2NmaePXtWXY7iJmjn/eFme+TWfnuxWMxkMhlj27Ypl8uXtvXqKo7XyK095NYecmsPubWn1dzm5uZc69vNttxu7zaN7baiiO4DwWDQTExMmGQyaTKZjEkmkyYUChmfz2fu3LljVlZWXOnn3Q+6Tj7c3T45j8ViJpfLmVwuZ+LxuBkbG2t6SxG5tZ5bNBo1xlxeJ3JxcbErxaGbubXz/nCzPXJrr71nz56ZQqHQcHvlmat+WzbD699TcnuL3NpDbu0ht/a0mlsgEDBTU1NmY2Oj438/3WyLsaFVFNEeW15ebrhmoG3bJh6PG5/PZ+bn5zvuy80TardPzuutgXjdrUrk9laruTX6B78bxaGbP2urP6fb7ZFbe+057Wtvb6/jE81+/vKB3NpDbu0ht/aQW3tazS0QCJhAIFC94FG5g7DRv5/X3XrsZluMrf2x3VYU0R5zMoNhPp83gUDAbGxsdNSXmyfU3Tg5f/fb0EZFsjHkdrG9VnJrxrZtk0gkqh+s09PTHY3tok5zc/PnJLf2x9ZKe62Me319vW9ODL3+PSW3Wnvk1l575NZee+TWXnvtnL/Ztm3S6bSZnZ2tPlte+TM9PV29SnrdrcdutsXY2h/bbfUNr5fYuu2crLkWCoVk27YmJye1sLCge/futd3f119/rW9/+9vVvi3L6ou2JOn+/fuam5tTNBqVZVny+XzVbScnJ7p//371v8mtppXcGjk4OFAqlVIul5MxRrOzs1pZWdH4+HhHY3PzZ3Xj53S7PXK7vr3T01PH7cbjca2urmp1dbWl8VRMTU0pHA5LksLhsMrlslZWVvTJJ5+01Z6Xv6fkVkNu7SG39pBbe1rJLRaLSZJGR0cVj8cVj8clSdPT04rFYnrx4oX29/eVzWYvtVOPm20xtvbHdltRRHvM6ZvT7/crnU4rk8noyZMnbffn5gm1m20Vi0Xlcjnlcjn9wz/8g3K5nCTp5cuXmpqaUjab1a9+9avq/uT2Vqu5vWtra0upVEq2bcsYo6WlJSUSCY2Ojjoew3Xc+lk7/Tndbo/cnLVnjNH5+bmjL7CGhoZUKpUcj6Wefv3ygdzeIrfGyK095NYeL3OrfBnwLsuytLCwoIWFBUnS8fGxstmsVlZWGvbtZluMrf2x3VYU0R5r5UM1HA4rnU633ZebJ9Run5xPTEwon8/r6dOn1deOj4+Vy+WUz+d1eHh4aX9ye6vV3CTp/Pxcq6urymQyKpVKsixLz58/r35ousXNn7Wdn9Pt9sit9fbm5+e1sLCg7e1tR+13+o13v375QG7kdh1yIzcnBiW3RmN9N5/KVdJCodCwbzfbYmztj+3W8uxGchhj3k440cri5clksu2+MpnMlb5s2zaZTMYkEgkzPDzsSVsV7y4PcdHe3t6V/ya3t1rJrbIkmM/nM9Fo1ORyuZb7c8rpz+p0bU2nP6fb7RlDbu20VxGNRh3PS9DJc3mJRMIUCgWzvr5uYrFYdeKUubk58+zZs5aeU2/l9zSZTDpayobcyK0RciO3ZgYpt0Y5NHr9un9v3WyLsbU/ttuKIroPTExMOF7XuJMPYWNa/wfC7bbOzs7M/v6+OTo66nj9RHJrnc/nM9PT0x3NxGmMuwXX2NhYR2N5l9vtGUNunSiVSo4m+Ds+PjaxWKztfpyeGLp9UlgsFqsTsoyNjTn+/7gZcmsPubWH3NpDbq2bnJyse+7mZMLYbrbF2Nof221FEd0H8vm8GR4eNp9++um1+5XLZUcfwm4Wqm61dXZ2Vr2ad/HPo0ePHBfC7yK31nObmJgw6+vr1SWZNjc3ry0MG43dzYLL5/OZsbEx19Zcdrs9Y8itU7u7u8bn85kHDx6Yra2tK/kcHx+bsbGxhv26eWLYjZPCWCxmMpmMsW37yhicjLsRciO3esitPeTWHrdzq4xveHj40gzQjS52NFtz2q22GFv7Y7utKKL7ROVDeGpqquGH8OTk5LW3MLtZcLldvAWDQTMxMWGSyaTJZDImmUyaUChUXRJoZWWl5TaNIbdWc3v3W8bK7WGNisNGyxq4WXBFo1FjjHtrLrvdnjHk5kZRnc1mjd/vr/5OjI2NmenpaTM2Nmbu3Llz7SMXbp8YunlS+OzZs4briBvzNs9EItH2OrHkRm4Xkdtb5NZYv+dW+VI6EokYn8/XdK3i6+4kdLMtxtb+2G4riug+Uu9DeHJy0gwPDztae9bNgsvNtpaXlxuuGWjbtonH48bn85n5+XnHbV5Ebu3lVs/F4jAajZo7d+7U3c/NgqvRP9Dttu12e06Qm3OpVMpYllX9h3tiYsLRIxFunRi6fVLo9ORib2+v7RN0Y8itXeTWHnJrD7k1V+9L6VQqZaLR6JWCrvJFRC/aYmztj+22oojuQ6lUqlp4+Xw+EwwGr1243hh3Cy63izcnz1jk83lHzxVdh9zcVSwWTTAYrLutl4WqbdsmkUhUP9RbmUClF+29i9zc5+aJodsnha18Q7++vt7xoyKtILf2kFt7yK095HZZpaCrXCVt9KV0r9tibHgXRfSAcLPgcrt4czozdqlUMsFgsKf/eJHb9dqdZMKNgmt/f99MT09XZ8WOxWLXnmj0ur3rkJu73DwxdPuksNGt+/WUy2XXJjRygtzaQ27tIbf2kNv1Kndw9Vtbbrd3m8Y2KO54vcQW3OH3+5vuEwqFZNu2PvnkE52fn/ekLcn52oh+v1/pdFqZTMbR/m4gt+s9f/68pf0PDg706NEjjY2NKZPJaHZ2VoeHhy2tObm1taUHDx4oGo0qm83q6dOnKhaL2tnZ0fj4eKs/guvtOUFu3piZmVGxWLz2d+v09NRxe/F4XKurq9fuY4xp+rtcMTQ01NIa971Cbu0ht/aQW3tua26WZfVlW263d5vGNigoogeEmwWX28VbKx+q4XBY//iP/+h4/06Rmzs6LbjOz8+1srKikZERxeNxGWP0/PlzvXnzRmtraxodHW1pPG631y3k5oybJ4ZunxTOz89rYWHB8ficfk64gdzaQ27tIbf2kNv1Wv1Suldtud3ebRrboKCIHhBuFlxuF2/RaFRbW1uO2+zlN17k1j63Cq75+XkFAgGlUilNTEwom83qiy++aOkf7m625zZya52bJ4ZunxTOzMyoVCrp7//+7x232Svk1h5yaw+5tYfcgJuJInpAuFlwuV28zczM6Pnz5/rNb37jqL2zszPHfXeK3NrjZsG1u7urSCQi27b14sULhcPhjsbmdntuIrf2uHli2I2Twp2dHf3n//yfm7Z5cnKi169fu9ZvM+TWHnJrD7m1h9yAG6qnT2CjqyYmJhyvRexkPTq32jLm7YRaw8PD5tNPP712v3K5bGKxmKN+3UJurfP5fGZ6evrS2sjtqqxX2GjN5Xc1mwjF7fbcRG7ti0ajjmehb/a7VSqVHE3wd3x87Pj3qrJm/YMHDxquWT82NubasmpOkVt7yK095NYecgNuHoroAeJmwdWN4q3yITw1NdXwQ3hyctJsbm46as8t5NY6NwuueusVXtd2s9lC3W7PTeTWPrdPDLtxUlhvzfrKGpt37txxPOO+m8itPeTWHnJrD7kBNw9F9IBxs+DqRvFW70N4cnLSDA8P93zt2YvIrTW9LLguth2NRl1ZS9HN9lpBbp1x+8SwWyeFqVTKWJZVXbN+YmLC7O3ttdWWG8itPeTWHnJrD7kBNwtF9ABys+DqVvGWSqVMKBSqfggHg0Gzvr7eVltuITf3dKvgKhaLJhgMutJWN9rrFLk1140Tw9twUkhu7SG39pBbe8gNuDkoogeYmwXXTSne3EBu7nK74Hr3am6/tecWcrseJ4btIbf2kFt7yK095Ab0P58xxng9uRmAwba4uMg6g20gNwAAgP5DEQ0AAAAAgEOsEw0AAAAAgEMU0QAAAAAAOEQRDQAAAACAQxTRAAAAAAA4RBENAAAAAIBDFNEAAAAAADhEEQ0AAAAAgEMU0QAAAAAAOEQRDQAAAACAQxTRAAAAAAA4RBENAAAAAIBDFNE99tFHH+mjjz7yehgAAAAAgDZ8w+sB3DbFYtHrIQAAAAAA2tTXV6JPTk68HgIAAAAAAFV9XUQnEgmvhwAAAAAAQJWnt3Ofn58rl8vp9PT0yrZyuazDw0MPRgUAAAAAQH2eFdH7+/uKRqPX7uPz+Xo0GgAAAAAAmvOsiE6lUkqlUopEIvL7/Ve2l0olzc/P935gAAAAAAA04FkRHQqF9PTp04bbR0dHNT4+3sMRAQAAYBB8P3107fZfJjjHBNA+zyYWc3Kr9s7OTg9GAgAAAACAM54V0ZZlNV3C6vHjx70ZDAAAAAAADnh2O/fCwoI+/fRT5XI5RSIRDQ8PX9knl8t5MDIAAAAAAOrzrIgeGRmR9HYpKwAAAAAAbgLPimhjjCKRiCzLqhbUF3311Vfa2tryYGQAAAAAANTnWRFtWVbTicOOjq6fWREAAAAAgF7ybGKxzc3NpvukUqkejAQAAAAAAGc8uxJ9cQ3ora0t5fN5nZ6e6nvf+54WFhZ079491okGAAAAAPQVz4poSXr16pVmZ2dl23b1td3dXX388cfa29vT3/7t33o4OgAAAAAALvOsiD47O9Ps7KxmZ2cVjUZlWZYkybZt7ezsaHZ2VsfHx7p3755XQwQAAAAA4BLPiui1tTWl02mFw+FLr4+OjiocDisWiymZTOqTTz7xaIQAAAAAAFzm2cRixpgrBfRFkUhEr1+/7uGIAAAAAAC4nmdFtM/na7pPvfWjAQAAAADwimdFdKlUarrP6elpD0YCAAAAAIAznhXRExMTevz4ccPtjx8/1tTUVA9HBAAAAADA9TybWGxhYUHRaFQjIyOKRqMaHR2V9HZ27lwuJ8uymFQMAAAAANBXPF0nOpvNKplM6tmzZ5den52d1c7OjkejAgAAAACgPs9u565IpVJ68+aNstmsstmsSqUSBTQAAAAAoC95XkRXhMNhhcNhDQ0NVV/b2NjwcEQAAAAAAFzWN0X0u87Pz7W9ve31MAAAAAAAqOpJET09Pa1vfOMbOjk5qXV8547u3r3b8E8gEFChUOjF8AAAAAAAcKQnE4sVi0W9efNG5XK5+pplWQqFQg2Xsfrqq6+0tbXVi+EBAAAAAOBIz4ro4+Pj6jJWkuT3+5tOIHZ0dNTtoQEAAAAA4FjPnom+WEBL0v7+ftNj0ul0t4YDAAAAAEDLPJtY7OIs3I28W3gDvZbL5ZRIJBQMBhUIBBQIBBQMBpVIJK48s59IJGTbtkcjBQAAANALnhXRFycZq9jf39fy8rI2Njb06tWrno8JqMjlcgoGg4pGo5Kk3d1dlUollUolFYtFxWIxJZNJJRKJ6v6ZTObSc/8AAAAABk9PnomuJ5FI6Fe/+tWl1yprRZ+dnSmXyymXy+nJkycejRC3VSKRUCaTUSQSUT6fl9/vv7JPJBJRJBLR3t6eJiYmuAINAAAA3BKeXYk2xjTcNjQ0pJmZGRWLxR6OCJBisVi1gM5ms3UL6ItmZ2c1Pz/PFWgAAADglvCsiPb5fNduf/XqlQ4PD3s0GkBaX1/X3t6e/H6/dnd3HR+3tLSkSCTSxZEBAAAA6Bc9u517cXFRh4eHOj4+liSVy2WNjIzU3bdyVY/ZudErtm0rmUxKklZWVppegX5XKpXSxMREF0YGAAAAoJ/0rIh+/vy5JKlQKCgWi0l6+wx0PZZlKRqNNtwOuC2VSlX/Pjs72/LxoVCo5cIbAAAAwM3T84nFQqGQstmsFhcXtbOz0+vugboq70XLsmRZVlttzM3NUUgDAAAAA86TZ6Ity6ouDVTPq1evdH5+3sMR4Tazbbv6CEG7BbT09vGDTo4HAAAA0P88W+JqZmam4bZisaiXL1/q7OyMJa7QdReXp6IIBgAAAHAdz2bnvs7MzIzm5ua0vb3t9VAAAAAAAKjy7Eq0JG1tbSmVSl26EngRywahF4aHh6t/Pz099XAkAICLfv+jyab7fOdnLIcJAOgtz4roo6MjxeNxRSIRhcNhHR4eanLy7T+Wtm3LsqzqjN5AN128hbvRFzoXlcvlpstZpdNpvgQCAAAABpBnRfTa2pry+bzGx8clSZubm4pGo7p//74k6fj4WFtbW/rxj3/s1RBxS/j9foVCIRUKBRUKBUf7F4tFSW8L6oWFBe3t7Ul6WzzH4/GujhcAAACAdzx7Jnp0dLRaQEtvrwZevAo4OjoqY4wXQ8MtdHG2+Fwu5/g4v9+v+fn56n9X7qYAAAAAMJg8uxLt8/ku/Xc4HNb8/LwePnxYfe3s7KyjPmzbVjKZvHS7biqVcnRsoVDQ9va2yuWybNtWNBrV0tJSR+NB/4rH49Xn81u9FZu1oQEAAIDbw7Mr0cYYnZyc6PHjxzo5OZH0dmmrzz77rLpPNpttu/3Kc6ubm5tKpVJKpVIKBoOKRqNNj60U0KlUSul0Wru7u0qn046Oxc2VTqclSXt7e45u666orDENAAAAYPB5VkQnEglFIhFlMpnq86TLy8uamZnR1NSUHjx40NGavclkUpFI5NJVwng8rlwu1/R23dXV1UtXrP1+v1KplHK5XHWsGDyRSKT6/3ssFnNcHL98+bKLowIAAADQTzx9Jjqfz+vFixd68uSJJGl2drY64djQ0JDjW6/r2dnZ0dTU1JXXLctqeoV7b29PsVjs0muV23s7uTqO/re0tKR0Oi3btjUxMdH0irRt29rb21MoFOrRCAEAAAB4ybMiWpKGhoYUDocvvba0tKQ3b97o8PBQ9+7da6vdcrmscrlc91lVy7KaXokOhUKX1g6+iHWEB188Hlc+n5ff79fExIRisZhyudylK9O2bWt9fV3RaFTZbFb7+/s8Gw0AAADcAp5NLNZNzdb6bbY9n89fee3w8FCS6l7drufDDz+s+3qxWFQwGHTUBrwTCoWUz+dVKBSUTqeVSCSqX6AMDw/LsizFYrHqUlfS22XZKKQBAACAweZ5EX1ycqJUKlUtUqPRqOLxeHW96H6RSqVkWRYzdN8yoVCoOuFYMxTQAAAAwODztIje2tpSIpG4tB50Pp9XKpXS3t6efvCDH3g4upr19XXZtl33CnUjn3/+ed3XG12hBgAAAAD0P8+eiT46OlI8HtfCwoLy+bxKpZJKpZLy+bx++MMfanZ2Vl9++WVbbTe7Itjoeed6crmctre3q8/IAgAAAABuL8+K6OXlZe3u7ur58+caHx/X0NCQhoaGND4+rt3dXW1vb7d967RlWfL7/ZeeV62wbbs603YzledhLxbQzZ6nBgAAAAAMLs+K6KGhIc3MzDTcPjs7q0Ag0Hb7c3NzdQte27avLF9VT6WA3t3dvfS60+djAQAAAACDx7MiemRkpOk+nRTRyWRSuVzuUiGdyWQUiUQuXYm2bVuBQEDr6+uXXovFYvL7/VpfX9f6+rqSyaRisZijcQMAAAAABpNnE4tdnEyslX1WVla0urra9FjLsrS/v69UKqVgMKjXr1+rXC4rm83W3f/i887RaLS6DvC7EolE074BAAAA9I/vp4+a7vPLxHgPRoJB4FkRnUqlND8/r+3t7brbV1ZWtLi4eOX1XC7nqIiWnC1PZFmWSqXSpdfqPUsNAAAAAIBnRbRlWSqXy7p7927DfepdCQYAAAAAwCue3s4dDodlWZbjY16/fq2Dg4MujgoAAAAAgMY8vRL94sWLlo+bnp7uwmgAAAAAAGjOs9m5U6lUW8clk0mXRwIAAAAAgDOeFdHhcLjpPicnJ20dBwAAAABAN3hWRDsRi8W8HgIAAAAAAFWePRO9tbV17fZ8Pi/btns0GgAAAAAAmvOsiF5aWtLZ2ZmMMVe2+Xw+GWPk8/k8GBkAAN75/Y8mm+7znZ8d9mAkAACgHs+K6OHhYW1ubioUCl16vVwu6+XLlyoUCqwTDWCgUSwBAADcPJ4ucTUzM1N32/j4uM7OzpTJZPTkyZMejwwAAAAAgPo8m1is2RrRQ0NDdW/1BgAAAADAK309O/fp6anXQwAAAAAAoMqz27nPz8+v3X54eKhCodCj0QAAAPQv5lAArtf0d+RvNnszENwKnhXRfr+/6ezb2Wy2R6MBAAAAAKA5TycWC4VCsixLIyMjl7b5/X5FIhGNjo56NDoAAAAAAK7y9Er0zs6OV90DAAAMlO+nj67d/svEeI9GAgCDzbOJxTY3eS4BAAAAAHCzeFZEj4+//Ta03gRjBwcHvR4OAAAAAABNebrE1dzcnAKBgD744INLrwcCAc3Pz3s0KgAAAAAA6vOsiF5ZWdHKyooePnyohw8fXto2Pj6uTCajjY0Nj0YHAAAAAMBVnk0sViqVND4+3nAZq6GhoR6PCAAAAACA63l2JbrZGtGSVCwWezASAAAAAACc8ayILhaL+vLLL5vuAwAAAABAv/CsiF5aWlIoFNJnn312Zdv5+bkePXqk6elpD0YGAAAAAEB9nj0THYlElEwmNTMzo0AgIMuyNDw8LNu2Zdu2LMvSkydPvBoeAAAAAABXeFZES2+vRkciES0sLCifz1dfn52d1c7OjocjQ698P3107fZfJsZ7NBLvkQUAAADQ/zwtoiUpFApVC+jj42ONjo56PCIAAAAAAOrz7JnoivPz8+rfKwX0wcGBV8MBAAAAAKAhT4voubk5BQIBffDBB5deDwQCmp+f92hUAAAAAADU59nt3CsrK1pZWVGpVFIwGLy0bXx8XJlMRhsbG0wuhoHw+x9NNt/pbza7PxAAAAAAHfGsiC6VShofH1c2m627fWhoqMcjAgAAAADgep7dzu3z+ZruUywWezASAAAAAACc8ayILhaL+vLLL5vuAwAAAABAv/Dsdu6lpSWFQiFtbW3pBz/4waVt5+fnisVimp6e9mh0ALzEmtk1ZAEAANBfPCuiI5GIksmkZmZmFAgEZFmWhoeHZdu2bNuWZVlMKgYAAAAA6CueLnG1tLSkw8ND3b9/X/l8XtlsVsViUTMzM/rd737n5dAAAAAAALjCsyvRFaFQSPl8XpJ0fHys0dFRj0cEAAAAAEB9nl6JfhcFNAAAAACgn3l2Jfrg4EC2bUuSLMvSw4cPvRoKuuj3P5q8foe/2ezNQAAAAADABT0voh8/fqxMJlN3WyKR0Nramu7du9fjUQEAAAAA0FzPbuc+ODjQyMiI0um0jDEyxmhoaKj6d2OMnj9/Lsuy9Otf/7pXwwIAAAAAwLGeXIne399XNBqVZVlaW1tTJBK58vzz0dGRstmsVldXFYlEVCgU9Fd/9Ve9GB4AAABuiKaPikk8Lgagq3pyJToWiymVSumLL77QwsJC3QnExsfHtbS0pFKppCdPnmh2drYXQwMAAAAAwLGuF9HPnj3T3Nycnj596viYVCqlH/7wh9rY2OjiyAAAAAAAaE3Xb+fO5XL61a9+1fJxqVRKjx490pMnT7owKgAAAOBma3Zr+3d+dtijkQC3S9evRA8NDXlyLAAAAAAAbut6ET0yMuLJsQAAAAAAuK3rt3Pbtu3JsZXjk8mkLMuqvpZKpbp+LAAAAABgMHW9iB4fH9dPf/pT/d3f/V1Lx3366ad1Z/F2qlwua2JiQsfHx/L7/ZKkTCajaDSqbDbbtWMBAEDvfD99dO32XybGezQSoP80+/2Q+B0B2tH127mXl5f19OlT/eY3v3F8zP7+vhYWFrS8vNx2v8lkUpFIpFoES1I8Hlcul1Mul+vasQAAAACAwdX1Itrv9yuTySgUCuknP/mJzs/PG+776tUrPX78WNPT01pbW9P9+/fb7ndnZ0dTU1NXXrcsq+nV5E6OBQAAAAAMLp8xxvSio2QyqWfPnsnn88myLFmWVb3SWy6XdXh4qHK5LGOM4vG4nj9/3nZf5XJZgUBA6XRa8Xj80rZoNKrT01Pl83nXj73oww8/rPv6b3/7W7333nsKBoMOf5qb7X/90/XPtf/zv/q3127/buBbbg7HM81ykMjiIrKoIYsasqghixqyqCGLGrJ4q1kOEllcNChZwJlgMKhf/OIXbR3b9WeiK1KplObn5xWLxVQsFlUsFiVJPp9PlTre7/drd3dX4XC4o76aTUh23fZOjnXC5/Ppvffe66iNSnbtFuKdHt9KG+/9O6vhtmKxKP3xn3oyjm4d77SN63KotkEWtTbIotYGWdTa6CCLXn7uddoGWdSQRQ1Z1JBFTb+fZ/WyDbK4OWMYBD0roiUpFAqpWCxqf39fu7u7Oj09VblclmVZikajmpmZ6eVwuurzzz/vWtuVq9zt9tHp8YPURj+MoV/a6Icx9Esb/TCGfmmjH8bgRhv9MIZ+aaMfxtAvbfTDGPqljX4YQ7+00Q9jcKONfhhDv7TRD2Polzb6YQyDoKdFdEU4HO74ajMAAAAAAL3W9YnFvHBxVu16hoeHu3IsAAAAAGCwDWQRXZm0rHK//kW2bSsSiXTlWAAAAADAYBvIIlqS5ubm6k4CZtu2YrFY144FAAAAAAyugS2ik8mkcrncpWI4k8koEolcupps27YCgYDW19dbPhYAAAAAcLv0bJ1oLxQKBaXTaQWDQb1+/VrlclnpdPrSPrZta2JiQqlU6tK60E6OBQAAAADcLgNdRAMAAAAA4KaBvZ0bAAAAAAC3UUQDAAAAAOAQRTQAAAAAAA5RRAMAAAAA4BBFNAAAAAAADlFEAwAAAADgEEX0gDo/P+/o+Lm5OT169EgbGxt69epVW22cnJx0NAa3kEUNWdSQRQ1Z1JBFDVnUkEUNWdR4nUW/5CCRBW4fiug+tb+/r42NDUnSq1evWvpwWFxc1OjoqCTp7OxMjx8/bvnDbXNzU/F4XF988YVmZ2d19+5dPXr0SFtbW47b2N3d1cHBQXUcjx490pdfftnSOCSyuIgsasiihixqyKKGLGrIooYsam56Fm7lIJEF0DKDvrS+vm5yuZzZ29szY2NjZnl52fz85z93fOxFpVLJLC8vdzSefD5votGoicViZnJy0pydnTU9plAomFgsZo6OjqptTE5Ottw3WdSQRQ1Z1JBFDVnUkEUNWdSQRc1Nz8KtHIwhi4tyuZx59uyZMcaYo6Mjc3x83NPjB62NQUUR3acqb9hYLGY2NzeNMVc/pBrZ29szi4uL5uTk5Ep7bowpm806+nCcnJw0hULBrK+vm7OzM1Mul00gEGi7X7Igi3r9kgVZ1OuXLMiiXr9kQRb1+r2pWbiVw8V+yaKzLxTcOH7Q2hhU3M7dp7766iudnJwol8spEolIkvx+v6NjX758qWKxqPHxcY2MjGhqakrFYrGl/ufm5i7dSnNwcFBtIxKJyBjTtI1isaixsTE9ffpUH3/8sfL5vFZWVloah0QWF5FFDVnUkEUNWdSQRQ1Z1JBFzU3Pwq0cJLK4yOfzKRwOa3t7W8lkUqurqy39PJ0eP2htDCqK6D61srKitbU1xeNx3b9/XwcHBzo7O3N07Pvvv68XL17o9PRUL1++VDgcVjQabal/y7J0enqqhYUF7ezsKJlMKhaL6ezsTIuLi3r//febtrG7u6t0Oi1JWl5e1traWsvjkMjiIrKoIYsasqghixqyqCGLGrKouelZuJWDRBYXdfKFghvHD1obA8ujK+BoQblcNhMTE9Xba5pJJpNXnh1p9baai89AvCuTybT1TESpVDKJRKLl4y4iixqyqCGLGrKoIYsasqghixqyqBmELNzIwRiyKJfLJpFImGQyaYwxZn9/v6Wfp9PjB62NQUURPaASiUT1AycQCJjFxUVvB9RApxNPOEEWNWRRQxY1ZFFzU7JIJpPm5z//uaNJmNpFFjVkUUMWNWRRc1OyaFWrXyi4ffygtTFIKKI9dnZ2Zvb3983R0VFXP9z61djYmNdD6BtkUUMWNWRRQxY1xWLRBAIBc+fOnepkL7cVWdSQRQ1Z1JBFTadXUd2cMG0Q2rjNeCbaI+fn55qfn1cgEFA0GtXExIQCgYC+//3v6ze/+Y3Xw9PR0ZEmJyf14MEDzc/P6+uvv+5KG8ViUQ8ePNDGxoZevXrlwsjdRxY1ZFFDFjVkUdOrLCzLUiQS0fPnz/XixQstLy9f2v7pp5+2vE6r28iihixqyKKm0yycHk8WNS9fvuxonJ0eP2ht3GpeV/G3VTAYNBMTEyaZTJpMJmOSyaQJhULG5/OZO3fumJWVlbbbLhQKZmJiwoyNjZm5ubm2rnDHYjGTy+VMLpcz8XjcjI2Ntfw8ipM2otGoMebtLSJ7e3smkUiYxcVF8+zZs+paf50gixqyqCGLGrKouUlZPHv2zBQKhYZtVJ5ja3cpErKoIYsasqjphyycHk8WNYFAwExNTZmNjY22/t3o9PhBa+M2o4j2wPLycsO192zbNvF43Ph8PjM/P99W+278A/Xu+EqlUsvPtzhpo9GHulsnyWRRQxY1ZFFDFjU3KQunbe7t7bV1YkwWNWRRQxY1/ZCF0+PJoiYQCJhAIFC9aHXnzh3z6NGjhv9uvHvLc6fHD1obtxm3c3ugVCrp6dOndbeNjo4qnU7r8PBQL1680N///d+33P7U1JTC4bDC4bDS6bRevnypVCrVcjsXb4Xx+/2yLMv1NsbHx+seNzQ0pJmZGSWTSRljtLS0pImJCT169Kil/smihixqyKKGLGpuUhZOzczMqFgstnyrJlnUkEUNWdT0SxZu5SDdjizm5uZ0enqqYrGoTz75RD/84Q/1j//4j0omk5qYmKiuVf33f//3evXq1ZVbnjs9ftDauM2+4fUAbiMn66uFQiHZtq3JyUktLCzo3r17LfXx9ddf69vf/na1v3Y+VO/fv6+5uTlFo1FZliWfz1fddnJyovv373etjYODA6VSKeVyORljNDs7q5WVlYYn0dchixqyqCGLGrKouSlZnJ6eOh5PPB7X6uqqVldXW/o5yKKGLGrIoqYfsnByPFnUjo/FYpLeXrSKx+OKx+OSpOnpacViMb148UL7+/vKZrOXjq/o9PhBa+M2o4j2gNM3ot/vVzqdViaT0ZMnT1rqo9MPomKxqFwup1wup3/4h39QLpeT9HYSgqmpKWWzWf3qV79yvY2trS2lUinZtl29opRIJDQ6OtrSz38RWdSQRQ1Z1JBFzU3JYmhoSOfn546+YB0aGlKpVGq637vIooYsasiixussnB5vjCGL/318OByue7xlWVpYWNDCwoIk6fj4WNlsVisrK5f26/T4QWvjNqOI9kArH06VW2Na4cY/UBMTE8rn85duOz8+PlYul1M+n9fh4WHTcTht4/z8XKurq8pkMiqVSrIsS8+fP6/+8naCLGrIooYsasii5iZlkclktLCwoO3tbUc/W6tXEciihixqyKKmH7Jwevz8/DxZ/O/jGxX07/7MlauzhULh0uudHj9obdxqvX8MG3t7ey0tVJ5MJltqP5PJXGnftm2TyWRMIpEww8PDjtopl8sNt+3t7bnSxtzcnLlz547x+XwmGo2aXC7nqF2nmmXxrW99y1E71/0cP/jBDzpugyxqyKKGLGrIoqby+RuNRs3Gxoaj9lqduMlJFj//+c+bzsJ73c/xH//jf+y4DbKoIYuaQcgimUyaJ0+euJKDMWRRyaLRz9bo9Xf/nen0+EFr4zajiPbIxMSEefXqlaN9W/0wM8b5h+rZ2ZnZ3983R0dHbS1J0GkbPp/PTE9PtzyLozFvZzl34ros/s2/+Tct9/uusbGxjtswhiwuIosasqghi8tKpZIJBAJNT4yPj49NLBar/ncymey4SPmv//W/mkAgYO7cuWPGxsYc53tRsVjsuI0Ksqghi5qbnIWbORhDFhWTk5N1z78TiURPjh+0Nm4zimiP5PN5Mzw8bD799NNr9yuXy5c+zC7qpHg9OzurXtW5+OfRo0eOi3s32piYmDDr6+vVpWk2NzevPUG++HO6cTLq8/nM2NhYR+vMutGGMWRxEVnUkEUNWVy1u7trfD6fefDggdna2rryb8Hx8bEZGxu71JdbJ6SxWMxkMhlj2/aVE2gnJ91utVFBFjVkUXOTs3AzB2PIwhhT/VmGh4fN9PR0dY3kRhes3v03ptPjB62N24wi2kOVD7OpqamGH2aTk5NXbpFxo3gNBoNmYmLCJJNJk8lkTDKZNKFQqLpW3MrKSk/aePfbrkKhcO1J8tzcXPXvbpyMRqNRY0xn68y60YYxZHERWdSQRQ1Z1JfNZo3f76/+WzA2Nmamp6fN2NiYuXPnTt1Hgjo9IX327FnDdbsrP18ikbh2zVk32ngXWdSQRc1NzKIbORhDFpUvYyORiPH5fE3XSH63oOz0+EFr4zajiPZYvQ+zyclJMzw8bO7cuWOmp6evHNNp8bq8vHxlUfoK27ZNPB43Pp/PzM/Pd7UNJy6eJEejUXPnzp3qNjdORht9KLfSphttOB0rWdT6IYtaP2RR6+c2Z5FKpYxlWdWToYmJibrzV7hxQur0ZGpvb69hO2600QhZ1JBFzU3Kops5GHN7s6j3ZWwqlTLRaPRKIVn5csHN4wetjduMIrpPpFKpaiHs8/lMMBisW6S6Ubw6edYhn89f++yMG220qlgsmmAwWP3vXpyY27ZtEolE9YOk3pcavWjjXWRRQxY1ZFFDFo31stAxxpj19fW6V6rcaKNTZNH6GMiipptZ9EMOrYxjULKoFJKVq7MXv4ztxfGD1sYgo4i+YdwoXp3O9l0qlUwwGKz7YeRGG+1oZbKDTk5G9/f3zfT0dHUm4Fgsdu03sd1q4zpkUUMWNWRRQxb1uXFCevFW+WbK5XLd5yjdaKNTZFFDFjX9kEU/5GAMWVTuYvLq+EFrY5BQRN8wbhSvrXy45HI58+zZs6600S2dnIxubm5Wnwvy+XwmmUwa27Zb6t+NNtxCFjVkUUMWNbcxCzdOSGOxWEtfjtb7QsONNjpFFjVkUdMPWfRDDsaQRadtuTGWQWpjkFBE3zBuFK+t/hLUmx3cjTbc1u7J6NnZmVleXjbDw8PVW+kzmUxLfbvRhpvIooYsasii5jZn4cYJaWXdbqfqXc1yo41OkUUNWdT0Qxb9kIMxZAE0QhF9w7hRvO7t7V2Z8fs69a5+u9GGGzo9Ga3Mcu7z+Uw0Gm1rIXk32nADWdSQRQ1Z1JDFW26dkEajUcdzXnSzjU6QRQ1Z1PRLFl7nYAxZAI1QRN8wbhWvExMTjpfDavRh5EYbnXDjZNTn85np6emO1r5zo41OkUUNWdSQRQ1ZXObGCWmpVHI0eeTx8XHDu5HcaKNTZFFDFjX9kEU/5GAMWQD1UETfQG4Ur/l83gwPD5tPP/302uPL5XLDDyM32uiEGyejlTXyGq0z+656tzS50UanyKKGLGrIooYsLnPrhHR3d9f4fD7z4MEDs7W1dWW8x8fHZmxs7NoZz91ooxNkUUMWNf2Shdc5GEMWQD0U0TeQW8Vr5cNoamqq4YfR5OTktVe+3WijXW6cjNZbI++6Nuvd0uRGG50iixqyqCGLGrK4yq0T0mw2a/x+f3U90bGxseqaonfu3HH0OI8bbXSCLGrIoqZfsvA6B2PIAngXRfQN5VbxWu/DaHJy0gwPDzte5sWNNtrRi5PRi21Go9G219nrtI1myKKGLGrIooYs6nPzhDSVShnLsozP5zM+n89MTEyYvb29lsbjRhvtIosasqjppyy8zMEYsgAuooi+wdwsXlOplAmFQtUPo2AwaNbX11sajxttuMntk9FisWiCwaDnbbSDLGrIooYsam57FpyQ1pBFDVnUkEUNWQAU0QOh34rXfuTWyeggrLNHFjVkUUMWNWQBAACu4zPGGAG3wOLiop4/f+71MPoCWdSQRQ1Z1JAFAABohCIaAAAAAACH7ng9AAAAAAAAbgqKaAAAAAAAHKKIBgAAAADAIYpoAAAAAAAcoogGAAAAAMAhimgAAAAAAByiiAYAAAAAwCGKaAAAAAAAHKKIBgAAAADAIYpoAAAAAAAcoogGAAAAAMAhiuge++ijj/TRRx95PQwAAAAAQBu+4fUAbptisej1EAAAAAAAbfLkSvTJyYkX3QIAAAAA0BFPiuhEIuFFtwAAAAAAdKQrt3Ofn58rl8vp9PT0yrZyuazDw8NudAsAAAAAQFe5XkTv7+8rGo1eu4/P53O7WwAAAAAAus71IjqVSimVSikSicjv91/ZXiqVND8/73a3AAAAAG6A76ePHO/7y8R4F0cCtMf1IjoUCunp06cNt4+Ojmp8nF8GAAAAAMDN4/rEYk5u1d7Z2XG7WwAAAAAAus71ItqyrKZLWD1+/NjtbgEAAAAA6DrXb+deWFjQp59+qlwup0gkouHh4Sv75HI5t7sFAAAAAKDrXC+iR0ZGJL1dygoAAAAAgEHiehFtjFEkEpFlWdWC+qKvvvpKW1tbbncLAAAAAEDXuV5EW5bVdOKwoyPn09oDAAAAANAvXJ9YbHNzs+k+qVTK7W4BAAAAAOg6169EX1wDemtrS/l8Xqenp/re976nhYUF3bt3j3WiAQAAAAA3kutFtCS9evVKs7Ozsm27+tru7q4+/vhj7e3t6W//9m+70S0AAAAAAF3lehF9dnam2dlZzc7OKhqNyrIsSZJt29rZ2dHs7KyOj4917949t7sGAAAAAKCrXC+i19bWlE6nFQ6HL70+OjqqcDisWCymZDKpTz75xO2uAQAAbqTf/2jS8b7f+dlhF0cCAGjG9YnFjDFXCuiLIpGIXr9+7Xa3AAAAAAB0netFtM/na7pPvfWjAQAAAADod64X0aVSqek+p6enbncLAAAAAEDXuV5ET0xM6PHjxw23P378WFNTU253CwAAAABA17k+sdjCwoKi0ahGRkYUjUY1Ojoq6e3s3LlcTpZlMakYAAAAAOBG6so60dlsVslkUs+ePbv0+uzsrHZ2drrRJQAAAAAAXef67dwVqVRKb968UTabVTabValUooAGAAAAANxoXSuiK8LhsMLhsIaGhqqvbWxsdLtbAAAAAABc1/Ui+l3n5+fa3t7udbcAAAAAAHSsoyJ6enpa3/jGN3RyclJr8M4d3b17t+GfQCCgQqHQ6bgBAAAAAOi5jiYWKxaLevPmjcrlcvU1y7IUCoUaLmP11VdfaWtrq5NuAQAAAADwRMdF9PHxcXUZK0ny+/1NJxA7OjrqpFsAAAAAADzR8TPRFwtoSdrf3296TDqd7rRbAAAAAAB6zvWJxS7Owt3Iu4U3AAAAAAA3QUe3c9dzcnKi+/fvX3ptf39f2WxW77//viKRiP76r//a7W4BAAAAAOg6169EJxKJK6+Fw2Gtra1pYWFBxWKRdaIBAAAAADeS60W0MabhtqGhIc3MzKhYLLrdLQAAAAAAXed6Ee3z+a7d/urVKx0eHrrdLQAAAAAAXdfxM9GLi4s6PDzU8fGxJKlcLmtkZKTuvpX1pJmdGwAAAABwE3VcRD9//lySVCgUFIvFJL19Broey7IUjUYbbgcAAAAAoJ+5Njt3KBRSNpvV4uKidnZ23GoWAAAAAIC+4eoz0ZZl1Z2du+LVq1c6Pz93s0sAAAAAAHrG9XWiZ2ZmGm4rFot6+fKlzs7O9OTJE7e7BgAAAACgq1yfnfs6MzMzmpub0/b2di+7BQAAAADAFV0pore2tvTgwQPdvXv3yp/h4WENDw93o1sAAAAAALrK9du5j46OFI/HFYlEFA6HdXh4qMnJSUmSbduyLKs6ozcAAAAAADeJ60X02tqa8vm8xsfHJUmbm5uKRqO6f/++JOn4+FhbW1v68Y9/7HbXAAAAAAB0leu3c4+OjlYLaOntjN22bV/aboxxu1sAAAAAALrO9SLa5/Nd+u9wOKx0On3ptbOzM7e7BQZWLpdTIpFQMBhUIBBQIBBQMBhUIpFQoVC4tG8ymbzyGgAAAAD3uF5EG2N0cnKix48f6+TkRNLbpa0+++yz6j7ZbNbtboGBk8vlNDExoWg0Kkna3d1VqVRSqVRSPp9XLBZTMpmsrs1eKBS0vr7u5ZBxjd//aNLxHwAAAPQv15+JTiQSikQiOj4+VjAY1JMnT7S8vKyZmRlNTEyoXC4rEom43S0wUNbX15VMJhUKhVQsFmVZ1qXtfr9fkUhEkUhEmUxG0Wj00mMTAAAAALrD9SJ6dHRU+Xxeh4eHCofDkqTZ2Vmtra1peXlZoVBIqVSq435s21YymbxUXDhtt1AoaHt7W+VyWbZtKxqNamlp6cp+Pp9PoVCoOrv44eGhLMvS7u5ux+MHGkkmk1pfX1coFFI+n2+6fzweV7lcVjKZ7MHoAAAAgNvNZ27gLF/lclmjo6M6Pj6W3++XJGUyGe3u7ja9VbxSQFcK7nK5rImJCVmWdeXYQCBQ3ScUCimRSCgej3c09g8//FCS9Pnnn3fUDgbT3t6eYrGYJNW9An2diYkJFQoF5fN5hUKhbg0RbWrlNu3v/OywiyMB0I/4jMBt8v30keN9f5kYb74T0GOuPxPdC8lkUpFIpFpAS2+vxuVyOeVyuWuPXV1dvXTF2u/3K5VKKZfLaW9v79K+8XhcpVJJxhjl8/mOC2igmYWFBUnS0tJSSwW05PxODAAAAADt61oRXZlcbGpqSlNTU/rJT35SnWisUzs7O5qamrryer2rye+6eKWvovKMNhOewUvr6+sql8uSpPn5+ZaPZ64BAAAAoPtcfyZakra2tpRIJC6tB53P55VKpbS3t6cf/OAHbbddLpdVLpcvXYWusCyr6ZXoUCik4eHhuttOT0/r9ldp892r34CbKkvB+f3+tm/HppAGAAAAusv1Ivro6EjxeFzxeFyJRKJ6S6pt2/r44481Ozsr27b13e9+t632m81A3Gx7vYmaDg/fPlv07tXtvb09BYNBzc3N6fT0VOFw2PFz0ZVnn99VLBYVDAabHo/bpTLJnaTqRHbt2N3d5YseAAAAoItcL6KXl5e1u7urmZmZS6+Pj49rd3dXe3t7Wlpa0vb2tttdty2VSsmyrCszdGez2eqXAH6/X5ubm5qYmNDk5CQTN8FVF7/86aQIpoAGAAAAusv1InpoaOhKAX3R7Oxs01uue2l9fV22bde9Qv3uxE6Vwnl7e7tpEd1o9u1GV6hxu118lKDR4wYAAAAAvOf6xGIjIyNN96ksHdWOZlfaWilAcrmctre3lc/nr7Qbi8W0vr5e97hmt4wDrbr4vq33bD4AAACA/uB6Ee1k2el6+6ysrDhq37Is+f1+FYvFK9ts23Y8sVKhUFA6nb5UQF8sjvf29ur2URkD4KaL76nKDN0AAAAA+o/rRXQqlbp2eZ6VlRUtLi5eeb2VW7zn5ubqXg22bfvK8lX1VAro3d3dS69XZkeW3q4RffG/JVXXkW5n+SHgOn6/v1pIVya6a8fe3h53SgAAAABd5HoRbVmW9vb2dPfu3bp/1tfXFQwGr7xeKBQc95FMJpXL5S4VC5lMRpFI5NKVaNu2FQgELt2WXSm0/X6/1tfXtb6+rmQyqVgsdulW9EQiceV27tXVVS0tLTGpGLpidnZW0uWZulvFWucAAABAd7k+sZgxRuFwuKVbnl+/fq2DgwPH+1uWpf39faVSKQWDQb1+/VrlcrlhAXHxeedoNCrbtus+75xIJKp/rxTKyWRS0tvie2VlpVroAG5bWVlRJpNRuVxWOp1WKpVquQ3btnncAAAAAOgi14toy7L04sWLlo+bnp5uaf9QKHTldut6YymVSpdea/Scc6M+uOqMXvH7/UqlUtW7IC6us+5ELpdTNBrt4ggBAAAAdOWZ6HZUrvgCt1k8Hq+uV+7k+f6KcrmsVCp1Za1zAAAAAO5yvYgOh8NN9zk5OWnrOOA2qBTDhUJBExMTTZ+Prjzn3+zODAAAAACdc72IdqKVK2zAbZRKparP+AeDQSUSiSuT7xUKBSUSCSWTSe3u7vIsNAAAANADrj8TvbW1de32fD7PEjyAA5FIRPl8XrlcTru7u4rFYjo9PZUkDQ8PKxQKaX5+nsnuAAAAgB5yvYheWlrS2dmZjDFXtvl8Phlj5PP53O4WGFjvLt0GAAAAwDuuF9HDw8Pa3Ny8Mqt1uVzWy5cvVSgU6i4vBQAAAABAv+vKElczMzN1t42Pj+vs7EyZTEZPnjxxu2sAAAAAALrK9YnFmq0RPTQ0VPdWbwAAAAAA+p0ns3NXJkcCAAAAAOAmcf127vPz82u3Hx4eXlmqBwAAAACAm8D1Itrv9zedfbuy/i0AAAAAADdJVyYWC4VCsixLIyMjl7b5/X5FIhGNjo663S0AAAAAAF3XlSvROzs7bjcLAAAAAIDnXJ9YbHNz0+0mAQAAAADoC64X0ePj45LqTzB2cHDgdncAAAAAAPRMV5a4mpubUyAQ0AcffHDp9UAgoPn5+W50CQAAAABA17n+TPTKyopWVlZUKpUUDAYvbRsfH1cmk9HGxoaePHnidtcAAKAPfD995HjfXybGuzgSAADc53oRXSqVND4+3nAZq6GhIbe7BAAAAACgJ1y/nbvZGtGSVCwW3e4WAAAAAICuc72ILhaL+vLLL5vuAwAAAADATeP67dxLS0sKhULa2trSD37wg0vbzs/PFYvFND097Xa3AIBb7Pc/mmxp/+/87LBLIwEAAIPO9SI6EokomUxqZmZGgUBAlmVpeHhYtm3Ltm1ZlsWkYgAAAACAG8n1Ilp6ezU6EoloYWFB+Xy++vrs7Kx2dna60SWAHmLmXQAAANxWXSmiJSkUClUL6OPjY42OjnarKwAAAAAAesL1icUqzs/Pq3+vFNAHBwfd6g4AAAAAgK7rShE9NzenQCCgDz744NLrgUBA8/Pz3egSAAAAAICuc72IXllZ0crKih4+fKiHDx9e2jY+Pq5MJqONjQ23uwUAAAAAoOtcfya6VCppfHxc2Wy27vahoSG3uwQAAAAAoCdcvxLt8/ma7lMsFt3uFgAAAACArnP9SnSxWNSXX36p7373u9fuAwCAV1imDQAAtMv1K9FLS0sKhUL67LPPrmw7Pz/Xo0ePND097Xa3AAAAAAB0netXoiORiJLJpGZmZhQIBGRZloaHh2XbtmzblmVZevLkidvdAgAAAADQdV1Z4mppaUmHh4e6f/++8vm8stmsisWiZmZm9Lvf/a4bXQIAAAAA0HWuX4muCIVCyufzkqTj42ONjo52qysAAAAAAHqia0X0RRTQAAAAwOD6/Y8mne/8N5vdGwjQA64X0QcHB7JtW5JkWZYePnzodhcAAAAAAHjCtSL68ePHymQydbclEgmtra3p3r17bnUHAABwK7FEW/eRMYDrdDyx2MHBgUZGRpROp2WMkTFGQ0ND1b8bY/T8+XNZlqVf//rXbowZAAAAAABPdFRE7+/vKxKJKBAIKJ1Oq1gs6s2bNzo9PdWbN2/05s0b5fN5ra2t6c9//rMikYh+85vfuDV2AAAAAAB6qqPbuWOxmFKplJ4+fdpwn/HxcY2Pj2tpaUnJZFKzs7Msc4WWtTJZxXd+dtjFkQDdx22EAAAA/avtK9HPnj3T3NzctQX0u1KplH74wx9qY2Oj3W4BAAAAAPBM20V0LpfT8+fPWz4ulUopm8222y0AAAAAAJ5p+3buoaGhtjvt5FgAANB7rAELAMBbbRfRIyMjbXfaybEVtm0rmUzKsqzqa6lUytVjO+kDAAAA/YMvggC4pe0i2rbttjvt5FhJKpfLmpiY0PHxsfx+vyQpk8koGo02vVXc6bGd9AEAAAAAGExtPxM9Pj6un/70py0f9+mnn2p0dLTdbiVJyWRSkUikWtxKUjweVy6XUy6Xc+XYTvoAAAAAAAymtq9ELy8vy7IsTU5O6q/+6q8cHbO/v6+FhQXl8/l2u5Uk7ezsaGVl5crrlmUpm80qEol0fGwnfcBbLA8EAAAAoFvavhLt9/uVyWQUCoX0k5/8ROfn5w33ffXqlR4/fqzp6Wmtra3p/v377Xarcrmscrl86QpxhWVZ114ldnpsJ30AAAAAAAZX21eiJWl2dlZPnjzR2tqaUqmULMuSZVnV4rNcLuvw8FDlclnGGMXjcS0sLHQ04GbPU1+33emxnfRR8eGHH9Z9/be//a3ee++9httR3//6J+fP0f/zi1nH+374X77VznBuvS9Lf3S8Lxm/xXu4u1rJVyLjdvAe7i7y7T4y7i7yxU0TDAb1i1/8oq1jOyqipbezVc/PzysWi6lYLKpYLEqSfD6fjDGS3l613t3dVTgc7rS7G8/n8+m9995zvd1K7sFgcCDbfe/fWc13qrT7x3/yfLz90Dbt9le7g/oe7pd2neZbbZuMeQ/3Wbvk2/22ybi77ZLvYLfb7bZvmo6LaEkKhUIqFova39/X7u6uTk9PVS6XZVmWotGoZmZm3OjmRvn888972l/lyrbb/dJud9vtZtu0S7u029u2aZd2abd37XazbdqlXdrtfds3jStFdEU4HO761eZ6zylfNDw83PGxnfQBAAAAABhcbU8s5pXKM9eV2wkusm372lmznR7bSR8AAAAAgMF144poSZqbm6s7uZdt24rFYq4c20kfAAAAAIDBdCOL6GQyqVwud6nIzWQyikQil64S27atQCCg9fX1lo91uh8AAAAA4PZw9ZnoXrEsS/v7+0qlUgoGg3r9+rXK5bKy2Wzd/S8+4+z02Fb7AAAAAAAMPp+prEMFAAAAAACudSNv5wYAAAAAwAsU0QAAAAAAOEQRDQA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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "bar_width = 0.5\n", "fig, ax = plt.subplots(4, 1, figsize=(6.4, 4.8))\n", "\n", "for i, (filename, mono) in enumerate(mono_dict.items()):\n", "\n", " x = np.arange(mono.num_orbitals)\n", " ax[i].bar(x - bar_width/2, np.abs(mono.HOMO)**2, width=bar_width, label='HOMO', color='#e25f33')\n", " ax[i].bar(x + bar_width/2, np.abs(mono.LUMO)**2, width=bar_width, label='LUMO', color='#4798ce')\n", "\n", " orbital_identifiers = []\n", " for orbital_identifier in mono.orbitals:\n", " atom, orbital = orbital_identifier.split('_')\n", " orbital_identifiers.append( f'${atom}_{{ {orbital} }}$' )\n", " \n", " ax[i].set_xticks(x)\n", " ax[i].set_xticklabels(orbital_identifiers, rotation=90, ha='right')\n", " \n", " ax[i].text(5, 0.2, filename, fontsize=15)\n", " ax[i].set_ylabel(\"Occupation\")\n", " ax[i].set_xlim(-1)\n", "\n", "ax[3].set_xlabel(\"Valence Orbitals\")\n", "ax[0].legend()\n", "\n", "print(f\"HOMO type: {mono.get_MO_type(mono.HOMO)[0]}\")\n", "print(f\"LUMO type: {mono.get_MO_type(mono.LUMO)[0]}\")\n", "\n", "if save:\n", " fig_filename = input(\"Filename for Saving: \")\n", " plt.savefig(os.path.join(SAVE_DIR, fig_filename + '.pdf'))" ] }, { "cell_type": "code", "execution_count": null, "id": "43760952-38e9-4931-89c6-cce0c64ebbf4", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": ".venv", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.9" } }, "nbformat": 4, "nbformat_minor": 5 }