{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "67a90f15",
   "metadata": {},
   "source": [
    "# Tutorial 05 — Minimization, Constraints, and Kinematics\n",
    "\n",
    "[![Open In Colab](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/uw-ipd/tmol/blob/master/docs/tutorial/05_minimization_constraints_kinematics.ipynb)\n",
    "\n",
    "This tutorial minimizes a small structure, limits which degrees of freedom may move, and adds coordinate or distance constraints.\n",
    "\n",
    "## Learning objectives\n",
    "\n",
    "- Run Cartesian minimization with an atom-coordinate mask.\n",
    "- Run kinematic minimization with a `MoveMap` and `FoldForest`.\n",
    "- Add a constraint and inspect its effect on score and geometry.\n",
    "\n",
    "## Before you begin\n",
    "\n",
    "- **Prerequisites:** [03 — Scoring and analysis](03_scoring_and_analysis.ipynb), including score terms and coordinate gradients.\n",
    "- **Curriculum:** This is the continuous-sampling branch after 03. Complete the parallel [04 — Packing](04_packing_and_mutation_scan.ipynb) branch before [06 — FastRelax](06_fast_relax.ipynb) combines both.\n",
    "- **Related:** [Optimization workflow](../user_guide/optimization.md) · [Kinematics API](../api/kinematics.rst)\n",
    "\n",
    "The short runs are smoke tests, not convergence studies. They run on CPU; larger systems benefit from CUDA."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "43f7d222",
   "metadata": {},
   "source": [
    "## Setup\n",
    "\n",
    "The examples use a checked-in eight-residue 1UBQ slice on the selected CPU or CUDA device. A fixed constraint weight and ten minimizer iterations keep the Cartesian and kinematic runs suitable for documentation smoke tests; later sections explain why finite output is not evidence of convergence."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "31075352",
   "metadata": {},
   "outputs": [],
   "source": [
    "try:\n",
    "    import google.colab  # noqa: F401\n",
    "except ImportError:\n",
    "    IN_COLAB = False\n",
    "else:\n",
    "    IN_COLAB = True\n",
    "\n",
    "if IN_COLAB:\n",
    "    from urllib.request import urlopen\n",
    "\n",
    "    exec(\n",
    "        urlopen(\n",
    "            \"https://raw.githubusercontent.com/uw-ipd/tmol/\"\n",
    "            \"master/docs/tutorial/colab_setup.py\"\n",
    "        ).read(),\n",
    "        globals(),\n",
    "    )\n",
    "    setup_colab([\"tmol/tests/data/cif/1UBQ.cif\"])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "85863de1",
   "metadata": {},
   "outputs": [],
   "source": [
    "from contextlib import redirect_stderr, redirect_stdout\n",
    "from io import StringIO\n",
    "from pathlib import Path\n",
    "import warnings\n",
    "\n",
    "import attrs\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import torch\n",
    "from IPython.display import display\n",
    "from biotite.structure.io import load_structure\n",
    "\n",
    "import tmol\n",
    "from tmol.io import pose_stack_from_biotite\n",
    "from tmol.kinematics import CartesianMoveMap, EdgeType, FoldForest, MoveMap\n",
    "from tmol.ops import res_mask_to_coord_mask\n",
    "from tmol.optimization import run_cart_min, run_kin_min\n",
    "from tmol.pose import ConstraintSet, PoseStackBuilder\n",
    "from tmol.score import ScoreType, beta2016_score_function\n",
    "from tmol.score.constraint import (\n",
    "    ConstraintEnergyTerm,\n",
    "    create_mainchain_coordinate_constraints,\n",
    ")\n",
    "\n",
    "SEED = 20260807\n",
    "np.random.seed(SEED)\n",
    "torch.manual_seed(SEED)\n",
    "warnings.filterwarnings(\n",
    "    \"ignore\", message=r\"Sparse invariant checks are implicitly disabled.*\"\n",
    ")\n",
    "device = (\n",
    "    torch.device(\"cuda\", torch.cuda.current_device())\n",
    "    if torch.cuda.is_available()\n",
    "    else torch.device(\"cpu\")\n",
    ")\n",
    "\n",
    "\n",
    "def show_table(frame):\n",
    "    \"\"\"Use a sortable docs table when available, otherwise display pandas.\"\"\"\n",
    "    try:\n",
    "        from itables import show\n",
    "    except ImportError:\n",
    "        return display(frame)\n",
    "    return show(frame)\n",
    "\n",
    "\n",
    "def score_components(pose_stack, score_function):\n",
    "    scorer = score_function.render_whole_pose_scoring_module(pose_stack)\n",
    "    weighted_terms = scorer(\n",
    "        pose_stack.coords, sum_terms=False, apply_weights=True\n",
    "    )[:, 0]\n",
    "    score_types = score_function.all_score_types()\n",
    "    constraint_index = next(\n",
    "        index\n",
    "        for index, score_type in enumerate(score_types)\n",
    "        if score_type == ScoreType.constraint\n",
    "    )\n",
    "    constraint_score = weighted_terms[constraint_index]\n",
    "    non_constraint_score = weighted_terms.sum() - constraint_score\n",
    "    return {\n",
    "        \"non_constraint_score_units\": float(non_constraint_score.detach().cpu()),\n",
    "        \"constraint_score_units\": float(constraint_score.detach().cpu()),\n",
    "        \"reported_total_score_units\": float(weighted_terms.sum().detach().cpu()),\n",
    "    }\n",
    "\n",
    "\n",
    "def common_atom_mask(reference, mobile, atom_mask=None):\n",
    "    finite = torch.isfinite(reference.coords).all(dim=-1)\n",
    "    finite &= torch.isfinite(mobile.coords).all(dim=-1)\n",
    "    return finite if atom_mask is None else finite & atom_mask\n",
    "\n",
    "\n",
    "def rms_displacement(reference, mobile, atom_mask=None):\n",
    "    \"\"\"Raw RMS displacement in the input frame; no superposition is applied.\"\"\"\n",
    "    mask = common_atom_mask(reference, mobile, atom_mask)\n",
    "    delta = mobile.coords[mask] - reference.coords[mask]\n",
    "    return float(torch.sqrt(torch.mean(torch.sum(delta * delta, dim=-1))).cpu())\n",
    "\n",
    "\n",
    "def kabsch_aligned_rmsd(reference, mobile, atom_mask=None):\n",
    "    \"\"\"RMSD after least-squares rigid-body superposition of mobile onto reference.\"\"\"\n",
    "    mask = common_atom_mask(reference, mobile, atom_mask)\n",
    "    reference_xyz = reference.coords[mask]\n",
    "    mobile_xyz = mobile.coords[mask]\n",
    "    reference_centered = reference_xyz - reference_xyz.mean(dim=0)\n",
    "    mobile_centered = mobile_xyz - mobile_xyz.mean(dim=0)\n",
    "\n",
    "    covariance = mobile_centered.T @ reference_centered\n",
    "    u, _, vh = torch.linalg.svd(covariance)\n",
    "    handedness = torch.sign(torch.det(u @ vh))\n",
    "    correction = torch.eye(3, device=mobile_xyz.device, dtype=mobile_xyz.dtype)\n",
    "    correction[-1, -1] = handedness\n",
    "    rotation = u @ correction @ vh\n",
    "    aligned_mobile = mobile_centered @ rotation\n",
    "    delta = aligned_mobile - reference_centered\n",
    "    return float(torch.sqrt(torch.mean(torch.sum(delta * delta, dim=-1))).cpu())\n",
    "\n",
    "\n",
    "def declared_mainchain_atom_mask(pose_stack):\n",
    "    \"\"\"Select atoms named in each residue type's TMol polymer declaration.\"\"\"\n",
    "    mask = torch.zeros_like(pose_stack.real_atoms)\n",
    "    atom_names = []\n",
    "    seen_atom_names = set()\n",
    "    for pose_index in range(pose_stack.n_poses):\n",
    "        for block_index in range(pose_stack.max_n_blocks):\n",
    "            block_type_index = int(\n",
    "                pose_stack.block_type_ind64[pose_index, block_index].item()\n",
    "            )\n",
    "            if block_type_index < 0:\n",
    "                continue\n",
    "            block_type = pose_stack.packed_block_types.active_block_types[\n",
    "                block_type_index\n",
    "            ]\n",
    "            polymer = block_type.properties.polymer\n",
    "            if polymer is None:\n",
    "                continue\n",
    "            atom_offset = int(\n",
    "                pose_stack.block_coord_offset64[pose_index, block_index].item()\n",
    "            )\n",
    "            for atom_name in polymer.mainchain_atoms:\n",
    "                atom_index = atom_offset + block_type.atom_to_idx[atom_name]\n",
    "                if bool(pose_stack.real_atoms[pose_index, atom_index]):\n",
    "                    mask[pose_index, atom_index] = True\n",
    "                    if atom_name not in seen_atom_names:\n",
    "                        atom_names.append(atom_name)\n",
    "                        seen_atom_names.add(atom_name)\n",
    "    return mask, tuple(atom_names)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5feb6333",
   "metadata": {},
   "source": [
    "## Build a small pose and compare FoldForests\n",
    "\n",
    "`FoldForest.reasonable_fold_forest()` derives polymer and jump edges from backbone connectivity. Each edge is `(type, start block, end block, jump index)`, and the edge array is batched over poses.\n",
    "\n",
    "The same contiguous chain is also written explicitly with `FoldForest.from_edges()`. Finally, a per-residue-root or “dandelion” forest attaches every real block to the virtual root. That representation matches neural-network models that predict one frame per residue while retaining internal side-chain geometry; it changes the movable DOFs and is not a generic replacement for a polymer forest."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "3370fde4",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "input: 1UBQ.cif\n",
      "automatic FoldForest edge tensor shape: (1, 2, 4)\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<!--| quarto-html-table-processing: none -->\n",
       "<table id=\"itables_1078b630_4c24_4da8_81e3_255fb1579739\" hidden=\"hidden\">\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <td style=\"vertical-align:middle; text-align:left\"><a href=https://itables.org/><svg class=\"main-svg\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"\n",
       "width=\"64\" viewBox=\"0 0 500 400\" style=\"font-family: 'Droid Sans', sans-serif;\">\n",
       "    <g style=\"fill:var(--itables-logo-paper,#d9d7fc)\">\n",
       "        <path d=\"M100,400H500V357H100Z\" />\n",
       "        <path d=\"M100,300H400V257H100Z\" />\n",
       "        <path d=\"M0,200H400V157H0Z\" />\n",
       "        <path d=\"M100,100H500V57H100Z\" />\n",
       "        <path d=\"M100,350H500V307H100Z\" />\n",
       "        <path d=\"M100,250H400V207H100Z\" />\n",
       "        <path d=\"M0,150H400V107H0Z\" />\n",
       "        <path d=\"M100,50H500V7H100Z\" />\n",
       "    </g>\n",
       "    <g style=\"fill:var(--itables-logo-ink,#1a1366);stroke:var(--itables-logo-ink,#1a1366);\">\n",
       "   <rect x=\"100\" y=\"7\" width=\"400\" height=\"43\">\n",
       "    <animate\n",
       "      attributeName=\"width\"\n",
       "      values=\"0;400;0\"\n",
       "      dur=\"5s\"\n",
       "      repeatCount=\"indefinite\" />\n",
       "      <animate\n",
       "      attributeName=\"x\"\n",
       "      values=\"100;100;500\"\n",
       "      dur=\"5s\"\n",
       "      repeatCount=\"indefinite\" />\n",
       "  </rect>\n",
       "        <rect x=\"0\" y=\"107\" width=\"400\" height=\"43\">\n",
       "    <animate\n",
       "      attributeName=\"width\"\n",
       "      values=\"0;400;0\"\n",
       "      dur=\"3.5s\"\n",
       "      repeatCount=\"indefinite\" />\n",
       "    <animate\n",
       "      attributeName=\"x\"\n",
       "      values=\"0;0;400\"\n",
       "      dur=\"3.5s\"\n",
       "      repeatCount=\"indefinite\" />\n",
       "  </rect>\n",
       "        <rect x=\"100\" y=\"207\" width=\"300\" height=\"43\">\n",
       "    <animate\n",
       "      attributeName=\"width\"\n",
       "      values=\"0;300;0\"\n",
       "      dur=\"3s\"\n",
       "      repeatCount=\"indefinite\" />\n",
       "    <animate\n",
       "      attributeName=\"x\"\n",
       "      values=\"100;100;400\"\n",
       "      dur=\"3s\"\n",
       "      repeatCount=\"indefinite\" />\n",
       "  </rect>\n",
       "        <rect x=\"100\" y=\"307\" width=\"400\" height=\"43\">\n",
       "    <animate\n",
       "      attributeName=\"width\"\n",
       "      values=\"0;400;0\"\n",
       "      dur=\"4s\"\n",
       "      repeatCount=\"indefinite\" />\n",
       "      <animate\n",
       "      attributeName=\"x\"\n",
       "      values=\"100;100;500\"\n",
       "      dur=\"4s\"\n",
       "      repeatCount=\"indefinite\" />\n",
       "  </rect>\n",
       "        <g style=\"fill:transparent;stroke-width:8; stroke-linejoin:round\" rx=\"5\">\n",
       "            <g transform=\"translate(45 50) rotate(-45)\">\n",
       "                <circle r=\"33\" cx=\"0\" cy=\"0\" />\n",
       "                <rect x=\"-8\" y=\"32\" width=\"16\" height=\"30\" />\n",
       "            </g>\n",
       "\n",
       "            <g transform=\"translate(450 152)\">\n",
       "                <polyline points=\"-15,-20 -35,-20 -35,40 25,40 25,20\" />\n",
       "                <rect x=\"-15\" y=\"-40\" width=\"60\" height=\"60\" />\n",
       "            </g>\n",
       "\n",
       "            <g transform=\"translate(50 352)\">\n",
       "                <polygon points=\"-35,-5 0,-40 35,-5\" />\n",
       "                <polygon points=\"-35,10 0,45 35,10\" />\n",
       "            </g>\n",
       "\n",
       "            <g transform=\"translate(75 250)\">\n",
       "                <polyline points=\"-30,30 -60,0 -30,-30\" />\n",
       "                <polyline points=\"0,30 -30,0 0,-30\" />\n",
       "            </g>\n",
       "\n",
       "            <g transform=\"translate(425 250) rotate(180)\">\n",
       "                <polyline points=\"-30,30 -60,0 -30,-30\" />\n",
       "                <polyline points=\"0,30 -30,0 0,-30\" />\n",
       "            </g>\n",
       "        </g>\n",
       "    </g>\n",
       "</svg>\n",
       "</a>\n",
       "        Loading ITables v2.9.1 from the internet...\n",
       "        (need <a href=https://itables.org/troubleshooting.html>help</a>?)\n",
       "      </td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<div id=\"itables_1078b630_4c24_4da8_81e3_255fb1579739_fallback\"><table style=\"border-collapse:collapse\"><thead>    <tr style=\"text-align: right;\">\n",
       "      <th style=\"border:1px solid #ddd;padding:8px\"><sup><noscript><span title=\"JavaScript not allowed. Please trust this notebook to get interactive tables.\">🔒</span></noscript><a href=https://itables.org/fallbacks/static_preview.html title=\"ITables v2.9.1 static preview\">ⓘ</a></sup>forest</th>\n",
       "      <th style=\"border:1px solid #ddd;padding:8px\">pose</th>\n",
       "      <th style=\"border:1px solid #ddd;padding:8px\">edge</th>\n",
       "      <th style=\"border:1px solid #ddd;padding:8px\">type</th>\n",
       "      <th style=\"border:1px solid #ddd;padding:8px\">start</th>\n",
       "      <th style=\"border:1px solid #ddd;padding:8px\">end</th>\n",
       "      <th style=\"border:1px solid #ddd;padding:8px\">jump_index</th>\n",
       "    </tr></thead><tbody>\n",
       "<tr><td style=\"border:1px solid #ddd;padding:8px\">automatic polymer</td><td style=\"border:1px solid #ddd;padding:8px\">0</td><td style=\"border:1px solid #ddd;padding:8px\">0</td><td style=\"border:1px solid #ddd;padding:8px\">root_jump</td><td style=\"border:1px solid #ddd;padding:8px\">-1</td><td style=\"border:1px solid #ddd;padding:8px\">0</td><td style=\"border:1px solid #ddd;padding:8px\">-1</td></tr>\n",
       "<tr><td style=\"border:1px solid #ddd;padding:8px\">automatic polymer</td><td style=\"border:1px solid #ddd;padding:8px\">0</td><td style=\"border:1px solid #ddd;padding:8px\">1</td><td style=\"border:1px solid #ddd;padding:8px\">polymer</td><td style=\"border:1px solid #ddd;padding:8px\">0</td><td style=\"border:1px solid #ddd;padding:8px\">7</td><td style=\"border:1px solid #ddd;padding:8px\">-1</td></tr>\n",
       "<tr><td style=\"border:1px solid #ddd;padding:8px\">explicit polymer</td><td style=\"border:1px solid #ddd;padding:8px\">0</td><td style=\"border:1px solid #ddd;padding:8px\">0</td><td style=\"border:1px solid #ddd;padding:8px\">root_jump</td><td style=\"border:1px solid #ddd;padding:8px\">-1</td><td style=\"border:1px solid #ddd;padding:8px\">0</td><td style=\"border:1px solid #ddd;padding:8px\">-1</td></tr>\n",
       "<tr><td style=\"border:1px solid #ddd;padding:8px\">explicit polymer</td><td style=\"border:1px solid #ddd;padding:8px\">0</td><td style=\"border:1px solid #ddd;padding:8px\">1</td><td style=\"border:1px solid #ddd;padding:8px\">polymer</td><td style=\"border:1px solid #ddd;padding:8px\">0</td><td style=\"border:1px solid #ddd;padding:8px\">7</td><td style=\"border:1px solid #ddd;padding:8px\">-1</td></tr>\n",
       "<tr><td style=\"border:1px solid #ddd;padding:8px\">per-residue root / dandelion</td><td style=\"border:1px solid #ddd;padding:8px\">0</td><td style=\"border:1px solid #ddd;padding:8px\">0</td><td style=\"border:1px solid #ddd;padding:8px\">root_jump</td><td style=\"border:1px solid #ddd;padding:8px\">-1</td><td style=\"border:1px solid #ddd;padding:8px\">0</td><td style=\"border:1px solid #ddd;padding:8px\">-1</td></tr>\n",
       "<tr><td style=\"border:1px solid #ddd;padding:8px\">per-residue root / dandelion</td><td style=\"border:1px solid #ddd;padding:8px\">0</td><td style=\"border:1px solid #ddd;padding:8px\">1</td><td style=\"border:1px solid #ddd;padding:8px\">root_jump</td><td style=\"border:1px solid #ddd;padding:8px\">-1</td><td style=\"border:1px solid #ddd;padding:8px\">1</td><td style=\"border:1px solid #ddd;padding:8px\">-1</td></tr>\n",
       "<tr><td style=\"border:1px solid #ddd;padding:8px\">per-residue root / dandelion</td><td style=\"border:1px solid #ddd;padding:8px\">0</td><td style=\"border:1px solid #ddd;padding:8px\">2</td><td style=\"border:1px solid #ddd;padding:8px\">root_jump</td><td style=\"border:1px solid #ddd;padding:8px\">-1</td><td style=\"border:1px solid #ddd;padding:8px\">2</td><td style=\"border:1px solid #ddd;padding:8px\">-1</td></tr>\n",
       "<tr><td style=\"border:1px solid #ddd;padding:8px\">per-residue root / dandelion</td><td style=\"border:1px solid #ddd;padding:8px\">0</td><td style=\"border:1px solid #ddd;padding:8px\">3</td><td style=\"border:1px solid #ddd;padding:8px\">root_jump</td><td style=\"border:1px solid #ddd;padding:8px\">-1</td><td style=\"border:1px solid #ddd;padding:8px\">3</td><td style=\"border:1px solid #ddd;padding:8px\">-1</td></tr>\n",
       "<tr><td style=\"border:1px solid #ddd;padding:8px\">per-residue root / dandelion</td><td style=\"border:1px solid #ddd;padding:8px\">0</td><td style=\"border:1px solid #ddd;padding:8px\">4</td><td style=\"border:1px solid #ddd;padding:8px\">root_jump</td><td style=\"border:1px solid #ddd;padding:8px\">-1</td><td style=\"border:1px solid #ddd;padding:8px\">4</td><td style=\"border:1px solid #ddd;padding:8px\">-1</td></tr>\n",
       "<tr><td style=\"border:1px solid #ddd;padding:8px\">per-residue root / dandelion</td><td style=\"border:1px solid #ddd;padding:8px\">0</td><td style=\"border:1px solid #ddd;padding:8px\">5</td><td style=\"border:1px solid #ddd;padding:8px\">root_jump</td><td style=\"border:1px solid #ddd;padding:8px\">-1</td><td style=\"border:1px solid #ddd;padding:8px\">5</td><td style=\"border:1px solid #ddd;padding:8px\">-1</td></tr>\n",
       "</tbody><tfoot><tr><td colspan=\"7\" style=\"border:none;padding:8px;text-align:center\">(2 more rows not shown)</td></tr></tfoot></table></div><script>document.getElementById(\"itables_1078b630_4c24_4da8_81e3_255fb1579739\")?.removeAttribute(\"hidden\");document.getElementById(\"itables_1078b630_4c24_4da8_81e3_255fb1579739_fallback\")?.setAttribute(\"hidden\", \"hidden\");</script>\n",
       "<link href=\"https://www.unpkg.com/dt_for_itables@2.5.8/dt_bundle.css\" rel=\"stylesheet\">\n",
       "<script type=\"module\">\n",
       "    import { ITable, jQuery as $ } from 'https://www.unpkg.com/dt_for_itables@2.5.8/dt_bundle.js';\n",
       "\n",
       "    document.querySelectorAll(\"#itables_1078b630_4c24_4da8_81e3_255fb1579739:not(.dataTable)\").forEach(table => {\n",
       "        if (!(table instanceof HTMLTableElement))\n",
       "            return;\n",
       "\n",
       "        let dt_args = {\n",
       "          \"classes\": [\"display\", \"nowrap\", \"compact\"],\n",
       "          \"data_json\": \"[[\\\"automatic polymer\\\", 0, 0, \\\"root_jump\\\", -1, 0, -1], [\\\"automatic polymer\\\", 0, 1, \\\"polymer\\\", 0, 7, -1], [\\\"explicit polymer\\\", 0, 0, \\\"root_jump\\\", -1, 0, -1], [\\\"explicit polymer\\\", 0, 1, \\\"polymer\\\", 0, 7, -1], [\\\"per-residue root / dandelion\\\", 0, 0, \\\"root_jump\\\", -1, 0, -1], [\\\"per-residue root / dandelion\\\", 0, 1, \\\"root_jump\\\", -1, 1, -1], [\\\"per-residue root / dandelion\\\", 0, 2, \\\"root_jump\\\", -1, 2, -1], [\\\"per-residue root / dandelion\\\", 0, 3, \\\"root_jump\\\", -1, 3, -1], [\\\"per-residue root / dandelion\\\", 0, 4, \\\"root_jump\\\", -1, 4, -1], [\\\"per-residue root / dandelion\\\", 0, 5, \\\"root_jump\\\", -1, 5, -1], [\\\"per-residue root / dandelion\\\", 0, 6, \\\"root_jump\\\", -1, 6, -1], [\\\"per-residue root / dandelion\\\", 0, 7, \\\"root_jump\\\", -1, 7, -1]]\",\n",
       "          \"layout\": {\"bottomEnd\": \"paging\", \"bottomStart\": \"info\", \"topEnd\": \"search\", \"topStart\": \"pageLength\"},\n",
       "          \"order\": [],\n",
       "          \"style\": {\"caption-side\": \"bottom\", \"margin\": \"auto\", \"table-layout\": \"auto\", \"width\": \"auto\"},\n",
       "          \"table_html\": \"<table><thead>\\n    <tr style=\\\"text-align: right;\\\">\\n      \\n      <th>forest</th>\\n      <th>pose</th>\\n      <th>edge</th>\\n      <th>type</th>\\n      <th>start</th>\\n      <th>end</th>\\n      <th>jump_index</th>\\n    </tr>\\n  </thead></table>\",\n",
       "          \"text_in_header_can_be_selected\": true\n",
       "        };\n",
       "        new ITable(table, dt_args);\n",
       "    });\n",
       "</script>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "repo_root = Path.cwd()\n",
    "if not (repo_root / \"tmol/tests/data/cif/1UBQ.cif\").exists():\n",
    "    repo_root = Path(tmol.__file__).resolve().parents[1]\n",
    "cif_path = repo_root / \"tmol\" / \"tests\" / \"data\" / \"cif\" / \"1UBQ.cif\"\n",
    "atom_array = load_structure(str(cif_path), model=1, include_bonds=True)\n",
    "protein_slice = atom_array[(atom_array.chain_id == \"A\") & (atom_array.res_id <= 8)]\n",
    "pose_diagnostics = StringIO()\n",
    "try:\n",
    "    with redirect_stdout(pose_diagnostics), redirect_stderr(pose_diagnostics):\n",
    "        start = pose_stack_from_biotite(protein_slice, device, no_optH=True)\n",
    "except Exception:\n",
    "    print(pose_diagnostics.getvalue())\n",
    "    raise\n",
    "\n",
    "score_function = beta2016_score_function(device)\n",
    "score_function.set_weight(ScoreType.constraint, 1.0)\n",
    "fold_forest = FoldForest.reasonable_fold_forest(start)\n",
    "\n",
    "explicit_edges = np.full((1, 2, 4), -1, dtype=np.int64)\n",
    "explicit_edges[0, 0] = [int(EdgeType.root_jump), -1, 0, -1]\n",
    "explicit_edges[0, 1] = [\n",
    "    int(EdgeType.polymer),\n",
    "    0,\n",
    "    start.max_n_blocks - 1,\n",
    "    -1,\n",
    "]\n",
    "explicit_fold_forest = FoldForest.from_edges(explicit_edges)\n",
    "\n",
    "# One root edge per real block: useful for per-residue NN frames.\n",
    "dandelion_edges = np.full(\n",
    "    (start.n_poses, start.max_n_blocks, 4), -1, dtype=np.int64\n",
    ")\n",
    "dandelion_edges[:, :, 0] = int(EdgeType.root_jump)\n",
    "dandelion_edges[:, :, 1] = -1\n",
    "dandelion_edges[:, :, 2] = np.arange(start.max_n_blocks)[None, :]\n",
    "per_residue_root_forest = FoldForest.from_edges(dandelion_edges)\n",
    "assert int(per_residue_root_forest.n_edges[0]) == start.max_n_blocks\n",
    "\n",
    "edge_names = {int(edge): edge.name for edge in EdgeType}\n",
    "edge_rows = []\n",
    "for forest_name, forest in (\n",
    "    (\"automatic polymer\", fold_forest),\n",
    "    (\"explicit polymer\", explicit_fold_forest),\n",
    "    (\"per-residue root / dandelion\", per_residue_root_forest),\n",
    "):\n",
    "    for pose_i in range(start.n_poses):\n",
    "        for edge_i in range(int(forest.n_edges[pose_i])):\n",
    "            edge_type, begin, end, jump_index = forest.edges[pose_i, edge_i]\n",
    "            edge_rows.append(\n",
    "                {\n",
    "                    \"forest\": forest_name,\n",
    "                    \"pose\": pose_i,\n",
    "                    \"edge\": edge_i,\n",
    "                    \"type\": edge_names[int(edge_type)],\n",
    "                    \"start\": int(begin),\n",
    "                    \"end\": int(end),\n",
    "                    \"jump_index\": int(jump_index),\n",
    "                }\n",
    "            )\n",
    "\n",
    "print(\"input:\", cif_path.name)\n",
    "print(\"automatic FoldForest edge tensor shape:\", fold_forest.edges.shape)\n",
    "show_table(pd.DataFrame(edge_rows))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a421c604",
   "metadata": {},
   "source": [
    "**Expected observations.** The automatic and explicit polymer forests each contain a `root_jump` whose start is `-1`, followed by a polymer edge covering the contiguous 1UBQ slice. The dandelion forest instead has one `root_jump` per real block and no polymer edge. A `jump_index` of `-1` is expected for root-jump and polymer edges; only ordinary jumps receive contiguous non-negative jump indices. Missing, duplicated, or overlapping coverage indicates a malformed forest and should be investigated before minimization.\n",
    "\n",
    "TMol's `FoldForest` differs from Rosetta's `FoldTree` in one important invariant: every TMol forest has an explicit virtual root at the origin. `reasonable_fold_forest()` follows backbone up/down connections, turns same-chain gaps into jumps, and roots separate chains independently. Its current automatic builder intentionally ignores non-polymer connections such as disulfides."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a4e44f5c",
   "metadata": {},
   "source": [
    "## Executable constrained and unconstrained workflow\n",
    "\n",
    "`run_cart_min` accepts `(pose_stack, sfxn, coord_mask=None, optimizer_cls=..., optimizer_kwargs=None, verbose=False)`. `run_kin_min` accepts `(pose_stack, sfxn, ff, mm, optimizer_cls=..., optimizer_kwargs=None, verbose=False, kin_dtype=...)`.\n",
    "\n",
    "### One meaningful low-level distance restraint\n",
    "\n",
    "A `ConstraintSet` identifies atoms by `(pose, block, atom-within-block)`. The code adds one harmonic distance restraint between the first and last Cα atoms of this eight-residue fragment, targeted to their input distance with σ = 0.5 Å. It then uses `add_constraints_to_all_poses()` to replicate that same block-local definition across a two-pose batch. The restraint is linear in system size and tied to an explicit structural hypothesis.\n",
    "\n",
    "### Declared-main-chain coordinate restraints\n",
    "\n",
    "`create_mainchain_coordinate_constraints()` follows each residue type's `mainchain_atoms` declaration. For the standard amino acids in this fixture those atoms are **N, CA, and C**; O is not declared as main chain and is not constrained. The helper uses harmonic-coordinate σ = 0.5 Å and retains existing constraints. This residue-type-driven definition is preferable to assuming that every block contains a protein Cα atom.\n",
    "\n",
    "The score-function constraint weight is 1.0 for this TMol demonstration. Rosetta constraint weights are protocol-specific, so score magnitudes should not be compared without matching constraint definitions, functional forms, and weights.\n",
    "\n",
    "### Cartesian and kinematic degrees of freedom\n",
    "\n",
    "The Cartesian runs move every finite atom coordinate independently. Without coordinate restraints, a single isolated molecule has global translation and rotation directions that do not change its internal score: six rigid-body null modes. Raw displacement can therefore include arbitrary frame drift, whereas Kabsch-aligned RMSD removes the best global translation and rotation before measuring internal change.\n",
    "\n",
    "The kinematic runs below explicitly fix ordinary jumps and the virtual-root jump, so the chain cannot translate or rotate as a rigid body. `move_all_named_torsions=True` enables both named main-chain and side-chain torsions; with the default ideal kinematics it does not independently optimize bond lengths and angles. By contrast, Cartesian minimization can distort local geometry, but beta2016 actively penalizes it through the nonzero cartbonded score terms `cart_lengths`, `cart_angles`, `cart_torsions`, `cart_impropers`, and `cart_hxltorsions` (each weighted 0.5). Thus Cartesian and kinematic runs are different coordinate models, not interchangeable optimizers over identical degrees of freedom."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "7bfd3b27",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "distance restraint: block 0 CA ↔ block 7 CA; target=23.155 Å; sigma=0.5 Å\n",
      "distance constraints in one pose / replicated batch: 1 / 2\n",
      "declared-main-chain coordinate restraints: 24\n",
      "coordinate-restraint atom names: N, CA, C\n",
      "coordinate-restraint count: 24\n",
      "coordinate-restraint sigma: 0.5 Å\n",
      "coordinate-restraint score weight: 1.0\n",
      "O is not TMol-declared main chain here and is not constrained.\n",
      "Weight 1.0 is intentional; constraint weights are protocol-specific.\n",
      "smoke-test optimizer max_iter: 10 (convergence not assessed)\n"
     ]
    }
   ],
   "source": [
    "cartesian_move_map = CartesianMoveMap(\n",
    "    coord_mask=torch.isfinite(start.coords).all(dim=-1)\n",
    ")\n",
    "kinematic_move_map = MoveMap.from_pose_stack(start)\n",
    "kinematic_move_map.move_all_named_torsions = True  # named MC and SC torsions\n",
    "kinematic_move_map.move_all_jumps = False\n",
    "kinematic_move_map.move_all_root_jumps = False\n",
    "\n",
    "mainchain_mask, restrained_atom_names = declared_mainchain_atom_mask(start)\n",
    "constraint_diagnostics = StringIO()\n",
    "try:\n",
    "    with redirect_stdout(constraint_diagnostics), redirect_stderr(constraint_diagnostics):\n",
    "        constrained_start = create_mainchain_coordinate_constraints(start.clone())\n",
    "except Exception:\n",
    "    print(constraint_diagnostics.getvalue())\n",
    "    raise\n",
    "\n",
    "# One low-level Cα distance restraint, expressed in block-local atom indices.\n",
    "first_block, last_block = 0, start.max_n_blocks - 1\n",
    "first_ca = start.block_type(0, first_block).atom_to_idx[\"CA\"]\n",
    "last_ca = start.block_type(0, last_block).atom_to_idx[\"CA\"]\n",
    "first_coord_index = int(start.block_coord_offset64[0, first_block]) + first_ca\n",
    "last_coord_index = int(start.block_coord_offset64[0, last_block]) + last_ca\n",
    "target_distance = torch.linalg.vector_norm(\n",
    "    start.coords[0, first_coord_index] - start.coords[0, last_coord_index]\n",
    ")\n",
    "distance_atoms = torch.tensor(\n",
    "    [[[0, first_block, first_ca], [0, last_block, last_ca]]],\n",
    "    dtype=torch.int32,\n",
    "    device=device,\n",
    ")\n",
    "distance_params = torch.zeros((1, 4), dtype=torch.float32, device=device)\n",
    "distance_params[0, 0] = target_distance\n",
    "distance_params[0, 1] = 0.5\n",
    "distance_constraint_set = ConstraintSet.create_empty(device, 1).add_constraints(\n",
    "    ConstraintEnergyTerm.harmonic,\n",
    "    distance_atoms,\n",
    "    distance_params,\n",
    ")\n",
    "distance_constrained_start = attrs.evolve(\n",
    "    start, constraint_set=distance_constraint_set\n",
    ")\n",
    "\n",
    "constraint_batch = PoseStackBuilder.from_poses([start] * 2, device)\n",
    "batch_constraint_set = ConstraintSet.create_empty(\n",
    "    device, constraint_batch.n_poses\n",
    ").add_constraints_to_all_poses(\n",
    "    ConstraintEnergyTerm.harmonic,\n",
    "    distance_atoms,\n",
    "    distance_params,\n",
    ")\n",
    "distance_constrained_batch = attrs.evolve(\n",
    "    constraint_batch, constraint_set=batch_constraint_set\n",
    ")\n",
    "assert len(distance_constraint_set.constraint_function_inds) == 1\n",
    "assert len(batch_constraint_set.constraint_function_inds) == 2\n",
    "\n",
    "CONSTRAINT_SIGMA_A = 0.5\n",
    "constraint_weight = float(score_function.get_weight(ScoreType.constraint))\n",
    "print(\n",
    "    f\"distance restraint: block {first_block} CA ↔ block {last_block} CA; \"\n",
    "    f\"target={float(target_distance):.3f} Å; sigma=0.5 Å\"\n",
    ")\n",
    "print(\n",
    "    \"distance constraints in one pose / replicated batch:\",\n",
    "    len(distance_constraint_set.constraint_function_inds),\n",
    "    \"/\",\n",
    "    len(batch_constraint_set.constraint_function_inds),\n",
    ")\n",
    "print(\n",
    "    \"declared-main-chain coordinate restraints:\",\n",
    "    len(constrained_start.constraint_set.constraint_function_inds),\n",
    ")\n",
    "print(\"coordinate-restraint atom names:\", \", \".join(restrained_atom_names))\n",
    "print(\"coordinate-restraint count:\", int(mainchain_mask.sum().item()))\n",
    "print(f\"coordinate-restraint sigma: {CONSTRAINT_SIGMA_A:.1f} Å\")\n",
    "print(f\"coordinate-restraint score weight: {constraint_weight:.1f}\")\n",
    "print(\"O is not TMol-declared main chain here and is not constrained.\")\n",
    "print(\"Weight 1.0 is intentional; constraint weights are protocol-specific.\")\n",
    "\n",
    "# Strictly a short smoke-test budget for tutorial/CI runtime. Finite output and\n",
    "# a lower objective after ten iterations do not demonstrate convergence.\n",
    "TUTORIAL_MAX_ITER = 10\n",
    "optimizer_kwargs = {\"max_iter\": TUTORIAL_MAX_ITER}\n",
    "print(f\"smoke-test optimizer max_iter: {TUTORIAL_MAX_ITER} (convergence not assessed)\")\n",
    "\n",
    "# Every branch starts from the same coordinates, score function, and iteration\n",
    "# budget. Within each coordinate model, only the presence of restraints changes.\n",
    "cart_unconstrained = run_cart_min(\n",
    "    start.clone(),\n",
    "    score_function,\n",
    "    coord_mask=cartesian_move_map.coord_mask,\n",
    "    optimizer_kwargs=optimizer_kwargs,\n",
    ")\n",
    "cart_constrained = run_cart_min(\n",
    "    constrained_start.clone(),\n",
    "    score_function,\n",
    "    coord_mask=cartesian_move_map.coord_mask,\n",
    "    optimizer_kwargs=optimizer_kwargs,\n",
    ")\n",
    "kin_unconstrained = run_kin_min(\n",
    "    start.clone(),\n",
    "    score_function,\n",
    "    fold_forest,\n",
    "    kinematic_move_map,\n",
    "    optimizer_kwargs=optimizer_kwargs,\n",
    ")\n",
    "kin_constrained = run_kin_min(\n",
    "    constrained_start.clone(),\n",
    "    score_function,\n",
    "    fold_forest,\n",
    "    kinematic_move_map,\n",
    "    optimizer_kwargs=optimizer_kwargs,\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "10e2283e",
   "metadata": {
    "tags": [
     "collapse-code"
    ]
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/tmp/ipykernel_3837/382234577.py:78: UserWarning: Converting a tensor with requires_grad=True to a scalar may lead to unexpected behavior.\n",
      "Consider using tensor.detach() first. (Triggered internally at /__w/pytorch/pytorch/torch/csrc/autograd/generated/python_variable_methods.cpp:820.)\n",
      "  return float(torch.sqrt(torch.mean(torch.sum(delta * delta, dim=-1))).cpu())\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<!--| quarto-html-table-processing: none -->\n",
       "<table id=\"itables_0e6de7c4_d9b9_419e_96f8_eb7a2c2618b0\" hidden=\"hidden\">\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <td style=\"vertical-align:middle; text-align:left\"><a href=https://itables.org/><svg class=\"main-svg\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"\n",
       "width=\"64\" viewBox=\"0 0 500 400\" style=\"font-family: 'Droid Sans', sans-serif;\">\n",
       "    <g style=\"fill:var(--itables-logo-paper,#d9d7fc)\">\n",
       "        <path d=\"M100,400H500V357H100Z\" />\n",
       "        <path d=\"M100,300H400V257H100Z\" />\n",
       "        <path d=\"M0,200H400V157H0Z\" />\n",
       "        <path d=\"M100,100H500V57H100Z\" />\n",
       "        <path d=\"M100,350H500V307H100Z\" />\n",
       "        <path d=\"M100,250H400V207H100Z\" />\n",
       "        <path d=\"M0,150H400V107H0Z\" />\n",
       "        <path d=\"M100,50H500V7H100Z\" />\n",
       "    </g>\n",
       "    <g style=\"fill:var(--itables-logo-ink,#1a1366);stroke:var(--itables-logo-ink,#1a1366);\">\n",
       "   <rect x=\"100\" y=\"7\" width=\"400\" height=\"43\">\n",
       "    <animate\n",
       "      attributeName=\"width\"\n",
       "      values=\"0;400;0\"\n",
       "      dur=\"5s\"\n",
       "      repeatCount=\"indefinite\" />\n",
       "      <animate\n",
       "      attributeName=\"x\"\n",
       "      values=\"100;100;500\"\n",
       "      dur=\"5s\"\n",
       "      repeatCount=\"indefinite\" />\n",
       "  </rect>\n",
       "        <rect x=\"0\" y=\"107\" width=\"400\" height=\"43\">\n",
       "    <animate\n",
       "      attributeName=\"width\"\n",
       "      values=\"0;400;0\"\n",
       "      dur=\"3.5s\"\n",
       "      repeatCount=\"indefinite\" />\n",
       "    <animate\n",
       "      attributeName=\"x\"\n",
       "      values=\"0;0;400\"\n",
       "      dur=\"3.5s\"\n",
       "      repeatCount=\"indefinite\" />\n",
       "  </rect>\n",
       "        <rect x=\"100\" y=\"207\" width=\"300\" height=\"43\">\n",
       "    <animate\n",
       "      attributeName=\"width\"\n",
       "      values=\"0;300;0\"\n",
       "      dur=\"3s\"\n",
       "      repeatCount=\"indefinite\" />\n",
       "    <animate\n",
       "      attributeName=\"x\"\n",
       "      values=\"100;100;400\"\n",
       "      dur=\"3s\"\n",
       "      repeatCount=\"indefinite\" />\n",
       "  </rect>\n",
       "        <rect x=\"100\" y=\"307\" width=\"400\" height=\"43\">\n",
       "    <animate\n",
       "      attributeName=\"width\"\n",
       "      values=\"0;400;0\"\n",
       "      dur=\"4s\"\n",
       "      repeatCount=\"indefinite\" />\n",
       "      <animate\n",
       "      attributeName=\"x\"\n",
       "      values=\"100;100;500\"\n",
       "      dur=\"4s\"\n",
       "      repeatCount=\"indefinite\" />\n",
       "  </rect>\n",
       "        <g style=\"fill:transparent;stroke-width:8; stroke-linejoin:round\" rx=\"5\">\n",
       "            <g transform=\"translate(45 50) rotate(-45)\">\n",
       "                <circle r=\"33\" cx=\"0\" cy=\"0\" />\n",
       "                <rect x=\"-8\" y=\"32\" width=\"16\" height=\"30\" />\n",
       "            </g>\n",
       "\n",
       "            <g transform=\"translate(450 152)\">\n",
       "                <polyline points=\"-15,-20 -35,-20 -35,40 25,40 25,20\" />\n",
       "                <rect x=\"-15\" y=\"-40\" width=\"60\" height=\"60\" />\n",
       "            </g>\n",
       "\n",
       "            <g transform=\"translate(50 352)\">\n",
       "                <polygon points=\"-35,-5 0,-40 35,-5\" />\n",
       "                <polygon points=\"-35,10 0,45 35,10\" />\n",
       "            </g>\n",
       "\n",
       "            <g transform=\"translate(75 250)\">\n",
       "                <polyline points=\"-30,30 -60,0 -30,-30\" />\n",
       "                <polyline points=\"0,30 -30,0 0,-30\" />\n",
       "            </g>\n",
       "\n",
       "            <g transform=\"translate(425 250) rotate(180)\">\n",
       "                <polyline points=\"-30,30 -60,0 -30,-30\" />\n",
       "                <polyline points=\"0,30 -30,0 0,-30\" />\n",
       "            </g>\n",
       "        </g>\n",
       "    </g>\n",
       "</svg>\n",
       "</a>\n",
       "        Loading ITables v2.9.1 from the internet...\n",
       "        (need <a href=https://itables.org/troubleshooting.html>help</a>?)\n",
       "      </td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<div id=\"itables_0e6de7c4_d9b9_419e_96f8_eb7a2c2618b0_fallback\"><table style=\"border-collapse:collapse\"><thead>    <tr style=\"text-align: right;\">\n",
       "      <th style=\"border:1px solid #ddd;padding:8px\"><sup><noscript><span title=\"JavaScript not allowed. Please trust this notebook to get interactive tables.\">🔒</span></noscript><a href=https://itables.org/fallbacks/static_preview.html title=\"ITables v2.9.1 static preview\">ⓘ</a></sup>variant</th>\n",
       "      <th style=\"border:1px solid #ddd;padding:8px\">non_constraint_score_units</th>\n",
       "      <th style=\"border:1px solid #ddd;padding:8px\">constraint_score_units</th>\n",
       "      <th style=\"border:1px solid #ddd;padding:8px\">reported_total_score_units</th>\n",
       "      <th style=\"border:1px solid #ddd;padding:8px\">non_constraint_score_change_units</th>\n",
       "      <th style=\"border:1px solid #ddd;padding:8px\">constraint_score_change_units</th>\n",
       "      <th style=\"border:1px solid #ddd;padding:8px\">objective_change_units</th>\n",
       "      <th style=\"border:1px solid #ddd;padding:8px\">all_atom_raw_RMS_displacement_A</th>\n",
       "      <th style=\"border:1px solid #ddd;padding:8px\">all_atom_Kabsch_RMSD_A</th>\n",
       "      <th style=\"border:1px solid #ddd;padding:8px\">mainchain_raw_RMS_displacement_A</th>\n",
       "      <th style=\"border:1px solid #ddd;padding:8px\">mainchain_Kabsch_RMSD_A</th>\n",
       "      <th style=\"border:1px solid #ddd;padding:8px\">finite_smoke_test_output</th>\n",
       "      <th style=\"border:1px solid #ddd;padding:8px\">convergence_status</th>\n",
       "    </tr></thead><tbody>\n",
       "<tr><td style=\"border:1px solid #ddd;padding:8px\">start</td><td style=\"border:1px solid #ddd;padding:8px\">27.425674</td><td style=\"border:1px solid #ddd;padding:8px\">0.000000</td><td style=\"border:1px solid #ddd;padding:8px\">27.425674</td><td style=\"border:1px solid #ddd;padding:8px\">0.000000</td><td style=\"border:1px solid #ddd;padding:8px\">0.000000</td><td style=\"border:1px solid #ddd;padding:8px\">0.000000</td><td style=\"border:1px solid #ddd;padding:8px\">0.000000</td><td style=\"border:1px solid #ddd;padding:8px\">0.000000</td><td style=\"border:1px solid #ddd;padding:8px\">0.000000</td><td style=\"border:1px solid #ddd;padding:8px\">0.000000</td><td style=\"border:1px solid #ddd;padding:8px\">True</td><td style=\"border:1px solid #ddd;padding:8px\">not assessed</td></tr>\n",
       "<tr><td style=\"border:1px solid #ddd;padding:8px\">Cartesian, unconstrained</td><td style=\"border:1px solid #ddd;padding:8px\">10.524035</td><td style=\"border:1px solid #ddd;padding:8px\">0.000000</td><td style=\"border:1px solid #ddd;padding:8px\">10.524035</td><td style=\"border:1px solid #ddd;padding:8px\">-16.901639</td><td style=\"border:1px solid #ddd;padding:8px\">0.000000</td><td style=\"border:1px solid #ddd;padding:8px\">-16.901639</td><td style=\"border:1px solid #ddd;padding:8px\">0.076775</td><td style=\"border:1px solid #ddd;padding:8px\">0.076775</td><td style=\"border:1px solid #ddd;padding:8px\">0.058633</td><td style=\"border:1px solid #ddd;padding:8px\">0.054905</td><td style=\"border:1px solid #ddd;padding:8px\">True</td><td style=\"border:1px solid #ddd;padding:8px\">not assessed (10-iteration smoke test)</td></tr>\n",
       "<tr><td style=\"border:1px solid #ddd;padding:8px\">Cartesian, constrained</td><td style=\"border:1px solid #ddd;padding:8px\">10.562445</td><td style=\"border:1px solid #ddd;padding:8px\">0.264052</td><td style=\"border:1px solid #ddd;padding:8px\">10.826496</td><td style=\"border:1px solid #ddd;padding:8px\">-16.863230</td><td style=\"border:1px solid #ddd;padding:8px\">0.264052</td><td style=\"border:1px solid #ddd;padding:8px\">-16.599178</td><td style=\"border:1px solid #ddd;padding:8px\">0.075184</td><td style=\"border:1px solid #ddd;padding:8px\">0.075169</td><td style=\"border:1px solid #ddd;padding:8px\">0.052446</td><td style=\"border:1px solid #ddd;padding:8px\">0.049689</td><td style=\"border:1px solid #ddd;padding:8px\">True</td><td style=\"border:1px solid #ddd;padding:8px\">not assessed (10-iteration smoke test)</td></tr>\n",
       "<tr><td style=\"border:1px solid #ddd;padding:8px\">Kinematic, unconstrained</td><td style=\"border:1px solid #ddd;padding:8px\">15.210704</td><td style=\"border:1px solid #ddd;padding:8px\">0.000000</td><td style=\"border:1px solid #ddd;padding:8px\">15.210704</td><td style=\"border:1px solid #ddd;padding:8px\">-12.214971</td><td style=\"border:1px solid #ddd;padding:8px\">0.000000</td><td style=\"border:1px solid #ddd;padding:8px\">-12.214971</td><td style=\"border:1px solid #ddd;padding:8px\">4.492956</td><td style=\"border:1px solid #ddd;padding:8px\">1.655169</td><td style=\"border:1px solid #ddd;padding:8px\">3.921457</td><td style=\"border:1px solid #ddd;padding:8px\">0.901909</td><td style=\"border:1px solid #ddd;padding:8px\">True</td><td style=\"border:1px solid #ddd;padding:8px\">not assessed (10-iteration smoke test)</td></tr>\n",
       "<tr><td style=\"border:1px solid #ddd;padding:8px\">Kinematic, constrained</td><td style=\"border:1px solid #ddd;padding:8px\">20.737789</td><td style=\"border:1px solid #ddd;padding:8px\">0.883536</td><td style=\"border:1px solid #ddd;padding:8px\">21.621326</td><td style=\"border:1px solid #ddd;padding:8px\">-6.687885</td><td style=\"border:1px solid #ddd;padding:8px\">0.883536</td><td style=\"border:1px solid #ddd;padding:8px\">-5.804348</td><td style=\"border:1px solid #ddd;padding:8px\">0.315862</td><td style=\"border:1px solid #ddd;padding:8px\">0.244128</td><td style=\"border:1px solid #ddd;padding:8px\">0.095935</td><td style=\"border:1px solid #ddd;padding:8px\">0.081197</td><td style=\"border:1px solid #ddd;padding:8px\">True</td><td style=\"border:1px solid #ddd;padding:8px\">not assessed (10-iteration smoke test)</td></tr>\n",
       "</tbody></table></div><script>document.getElementById(\"itables_0e6de7c4_d9b9_419e_96f8_eb7a2c2618b0\")?.removeAttribute(\"hidden\");document.getElementById(\"itables_0e6de7c4_d9b9_419e_96f8_eb7a2c2618b0_fallback\")?.setAttribute(\"hidden\", \"hidden\");</script>\n",
       "<link href=\"https://www.unpkg.com/dt_for_itables@2.5.8/dt_bundle.css\" rel=\"stylesheet\">\n",
       "<script type=\"module\">\n",
       "    import { ITable, jQuery as $ } from 'https://www.unpkg.com/dt_for_itables@2.5.8/dt_bundle.js';\n",
       "\n",
       "    document.querySelectorAll(\"#itables_0e6de7c4_d9b9_419e_96f8_eb7a2c2618b0:not(.dataTable)\").forEach(table => {\n",
       "        if (!(table instanceof HTMLTableElement))\n",
       "            return;\n",
       "\n",
       "        let dt_args = {\n",
       "          \"classes\": [\"display\", \"nowrap\", \"compact\"],\n",
       "          \"columnDefs\": [{\"render\": \"function (data, type, row, meta) { return type === 'sort' || type === 'type' ? data[1] : data[0]; }\", \"targets\": [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]}],\n",
       "          \"data_json\": \"[[\\\"start\\\", [\\\"27.425674\\\", 27.425674438476562], [\\\"0.000000\\\", 0.0], [\\\"27.425674\\\", 27.425674438476562], [\\\"0.000000\\\", 0.0], [\\\"0.000000\\\", 0.0], [\\\"0.000000\\\", 0.0], [\\\"0.000000\\\", 0.0], [\\\"0.000000\\\", 0.0], [\\\"0.000000\\\", 0.0], [\\\"0.000000\\\", 0.0], true, \\\"not assessed\\\"], [\\\"Cartesian, unconstrained\\\", [\\\"10.524035\\\", 10.524035453796387], [\\\"0.000000\\\", 0.0], [\\\"10.524035\\\", 10.524035453796387], [\\\"-16.901639\\\", -16.901638984680176], [\\\"0.000000\\\", 0.0], [\\\"-16.901639\\\", -16.901638984680176], [\\\"0.076775\\\", 0.07677467912435532], [\\\"0.076775\\\", 0.07677459716796875], [\\\"0.058633\\\", 0.05863348767161369], [\\\"0.054905\\\", 0.054904669523239136], true, \\\"not assessed (10-iteration smoke test)\\\"], [\\\"Cartesian, constrained\\\", [\\\"10.562445\\\", 10.562444686889648], [\\\"0.264052\\\", 0.2640516757965088], [\\\"10.826496\\\", 10.826496124267578], [\\\"-16.863230\\\", -16.863229751586914], [\\\"0.264052\\\", 0.2640516757965088], [\\\"-16.599178\\\", -16.599178314208984], [\\\"0.075184\\\", 0.07518364489078522], [\\\"0.075169\\\", 0.075168676674366], [\\\"0.052446\\\", 0.05244557186961174], [\\\"0.049689\\\", 0.04968909174203873], true, \\\"not assessed (10-iteration smoke test)\\\"], [\\\"Kinematic, unconstrained\\\", [\\\"15.210704\\\", 15.21070384979248], [\\\"0.000000\\\", 0.0], [\\\"15.210704\\\", 15.21070384979248], [\\\"-12.214971\\\", -12.214970588684082], [\\\"0.000000\\\", 0.0], [\\\"-12.214971\\\", -12.214970588684082], [\\\"4.492956\\\", 4.492955684661865], [\\\"1.655169\\\", 1.655169129371643], [\\\"3.921457\\\", 3.921457290649414], [\\\"0.901909\\\", 0.9019091725349426], true, \\\"not assessed (10-iteration smoke test)\\\"], [\\\"Kinematic, constrained\\\", [\\\"20.737789\\\", 20.737789154052734], [\\\"0.883536\\\", 0.8835364580154419], [\\\"21.621326\\\", 21.621326446533203], [\\\"-6.687885\\\", -6.687885284423828], [\\\"0.883536\\\", 0.8835364580154419], [\\\"-5.804348\\\", -5.804347991943359], [\\\"0.315862\\\", 0.3158624768257141], [\\\"0.244128\\\", 0.24412831664085388], [\\\"0.095935\\\", 0.09593489021062851], [\\\"0.081197\\\", 0.08119677007198334], true, \\\"not assessed (10-iteration smoke test)\\\"]]\",\n",
       "          \"keys_to_be_evaluated\": [[\"columnDefs\", 0, \"render\"]],\n",
       "          \"layout\": {\"bottomEnd\": null, \"bottomStart\": null, \"topEnd\": null, \"topStart\": null},\n",
       "          \"order\": [],\n",
       "          \"style\": {\"caption-side\": \"bottom\", \"margin\": \"auto\", \"table-layout\": \"auto\", \"width\": \"auto\"},\n",
       "          \"table_html\": \"<table><thead>\\n    <tr style=\\\"text-align: right;\\\">\\n      \\n      <th>variant</th>\\n      <th>non_constraint_score_units</th>\\n      <th>constraint_score_units</th>\\n      <th>reported_total_score_units</th>\\n      <th>non_constraint_score_change_units</th>\\n      <th>constraint_score_change_units</th>\\n      <th>objective_change_units</th>\\n      <th>all_atom_raw_RMS_displacement_A</th>\\n      <th>all_atom_Kabsch_RMSD_A</th>\\n      <th>mainchain_raw_RMS_displacement_A</th>\\n      <th>mainchain_Kabsch_RMSD_A</th>\\n      <th>finite_smoke_test_output</th>\\n      <th>convergence_status</th>\\n    </tr>\\n  </thead></table>\",\n",
       "          \"text_in_header_can_be_selected\": true\n",
       "        };\n",
       "        new ITable(table, dt_args);\n",
       "    });\n",
       "</script>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1800x800 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/3dmoljs_load.v0": "<div id=\"3dmolviewer_17885206080679686\"  style=\"position: relative; width: 720px; height: 420px;\">\n        <p id=\"3dmolwarning_17885206080679686\" style=\"background-color:#ffcccc;color:black\">3Dmol.js failed to load for some reason.  Please check your browser console for error messages.<br></p>\n        </div>\n<script>\n\nvar loadScriptAsync = function(uri){\n  return new Promise((resolve, reject) => {\n    //this is to ignore the existence of requirejs amd\n    var savedexports, savedmodule;\n    if (typeof exports !== 'undefined') savedexports = exports;\n    else exports = {}\n    if (typeof module !== 'undefined') savedmodule = module;\n    else module = {}\n\n    var tag = document.createElement('script');\n    tag.src = uri;\n    tag.async = true;\n    tag.onload = () => {\n        exports = savedexports;\n        module = savedmodule;\n        resolve();\n    };\n  var firstScriptTag = document.getElementsByTagName('script')[0];\n  firstScriptTag.parentNode.insertBefore(tag, firstScriptTag);\n});\n};\n\nif(typeof $3Dmolpromise === 'undefined') {\n$3Dmolpromise = null;\n  $3Dmolpromise = loadScriptAsync('https://cdn.jsdelivr.net/npm/3dmol@2.5.5/build/3Dmol-min.js');\n}\n\nvar viewer_17885206080679686 = null;\nvar warn = document.getElementById(\"3dmolwarning_17885206080679686\");\nif(warn) {\n    warn.parentNode.removeChild(warn);\n}\n$3Dmolpromise.then(function() {\nviewer_17885206080679686 = $3Dmol.createViewer(document.getElementById(\"3dmolviewer_17885206080679686\"),{backgroundColor:\"white\"});\nviewer_17885206080679686.zoomTo();\n\tviewer_17885206080679686.addModel(\"MODEL 1\\nATOM      1  N   MET A   1      27.340  24.430   2.614  0.00  0.00\\nATOM      2  CA  MET A   1      26.266  25.413   2.842  0.00  0.00\\nATOM      3  C   MET A   1      26.913  26.639   3.531  0.00  0.00\\nATOM      4  O   MET A   1      27.886  26.463   4.263  0.00  0.00\\nATOM      5  CB  MET A   1      25.112  24.880   3.649  0.00  0.00\\nATOM      6  CG  MET A   1      25.353  24.860   5.134  0.00  0.00\\nATOM      7  SD  MET A   1      23.930  23.959   5.904  0.00  0.00\\nATOM      8  CE  MET A   1      24.447  23.984   7.620  0.00  0.00\\nATOM      9  HA  MET A   1      25.864  25.717   1.875  0.00  0.00\\nATOM     10  HB2 MET A   1      24.227  25.486   3.461  0.00  0.00\\nATOM     11  HB3 MET A   1      24.886  23.861   3.332  0.00  0.00\\nATOM     12  HG2 MET A   1      26.298  24.359   5.342  0.00  0.00\\nATOM     13  HG3 MET A   1      25.421  25.882   5.505  0.00  0.00\\nATOM     14  HE1 MET A   1      23.700  23.479   8.233  0.00  0.00\\nATOM     15  HE2 MET A   1      25.405  23.472   7.719  0.00  0.00\\nATOM     16  HE3 MET A   1      24.552  25.017   7.954  0.00  0.00\\nATOM     17  H1  MET A   1      26.961  23.619   2.168  0.00  0.00\\nATOM     18  H2  MET A   1      28.043  24.834   2.029  0.00  0.00\\nATOM     19  H3  MET A   1      27.746  24.169   3.490  0.00  0.00\\nATOM     20  N   GLN A   2      26.335  27.770   3.258  0.00  0.00\\nATOM     21  CA  GLN A   2      26.850  29.021   3.898  0.00  0.00\\nATOM     22  C   GLN A   2      26.100  29.253   5.202  0.00  0.00\\nATOM     23  O   GLN A   2      24.865  29.024   5.330  0.00  0.00\\nATOM     24  CB  GLN A   2      26.733  30.148   2.905  0.00  0.00\\nATOM     25  CG  GLN A   2      26.882  31.546   3.409  0.00  0.00\\nATOM     26  CD  GLN A   2      26.786  32.562   2.270  0.00  0.00\\nATOM     27  OE1 GLN A   2      27.783  33.160   1.870  0.00  0.00\\nATOM     28  NE2 GLN A   2      25.562  32.733   1.806  0.00  0.00\\nATOM     29  H   GLN A   2      25.549  27.828   2.627  0.00  0.00\\nATOM     30  HA  GLN A   2      27.898  28.870   4.158  0.00  0.00\\nATOM     31  HB2 GLN A   2      27.488  30.028   2.128  0.00  0.00\\nATOM     32  HB3 GLN A   2      25.757  30.107   2.422  0.00  0.00\\nATOM     33  HG2 GLN A   2      26.089  31.748   4.128  0.00  0.00\\nATOM     34  HG3 GLN A   2      27.856  31.647   3.889  0.00  0.00\\nATOM     35 HE21 GLN A   2      24.801  32.218   2.200  0.00  0.00\\nATOM     36 HE22 GLN A   2      25.395  33.378   1.059  0.00  0.00\\nATOM     37  N   ILE A   3      26.849  29.656   6.217  0.00  0.00\\nATOM     38  CA  ILE A   3      26.235  30.058   7.497  0.00  0.00\\nATOM     39  C   ILE A   3      26.882  31.428   7.862  0.00  0.00\\nATOM     40  O   ILE A   3      27.906  31.711   7.264  0.00  0.00\\nATOM     41  CB  ILE A   3      26.344  29.050   8.645  0.00  0.00\\nATOM     42  CG1 ILE A   3      27.810  28.748   8.999  0.00  0.00\\nATOM     43  CG2 ILE A   3      25.491  27.771   8.287  0.00  0.00\\nATOM     44  CD1 ILE A   3      27.967  28.087  10.417  0.00  0.00\\nATOM     45  H   ILE A   3      27.854  29.691   6.121  0.00  0.00\\nATOM     46  HA  ILE A   3      25.168  30.210   7.336  0.00  0.00\\nATOM     47  HB  ILE A   3      25.964  29.500   9.562  0.00  0.00\\nATOM     48 HG12 ILE A   3      28.235  28.081   8.250  0.00  0.00\\nATOM     49 HG13 ILE A   3      28.388  29.672   8.977  0.00  0.00\\nATOM     50 HG21 ILE A   3      25.563  27.047   9.098  0.00  0.00\\nATOM     51 HG22 ILE A   3      24.449  28.056   8.147  0.00  0.00\\nATOM     52 HG23 ILE A   3      25.872  27.325   7.368  0.00  0.00\\nATOM     53 HD11 ILE A   3      29.022  27.896  10.615  0.00  0.00\\nATOM     54 HD12 ILE A   3      27.571  28.760  11.178  0.00  0.00\\nATOM     55 HD13 ILE A   3      27.418  27.147  10.443  0.00  0.00\\nATOM     56  N   PHE A   4      26.214  32.097   8.771  0.00  0.00\\nATOM     57  CA  PHE A   4      26.772  33.436   9.197  0.00  0.00\\nATOM     58  C   PHE A   4      27.151  33.362  10.650  0.00  0.00\\nATOM     59  O   PHE A   4      26.350  32.778  11.395  0.00  0.00\\nATOM     60  CB  PHE A   4      25.695  34.498   8.946  0.00  0.00\\nATOM     61  CG  PHE A   4      25.288  34.609   7.499  0.00  0.00\\nATOM     62  CD1 PHE A   4      24.147  33.966   7.038  0.00  0.00\\nATOM     63  CD2 PHE A   4      26.136  35.346   6.640  0.00  0.00\\nATOM     64  CE1 PHE A   4      23.812  34.031   5.677  0.00  0.00\\nATOM     65  CE2 PHE A   4      25.810  35.392   5.267  0.00  0.00\\nATOM     66  CZ  PHE A   4      24.620  34.778   4.853  0.00  0.00\\nATOM     67  H   PHE A   4      25.358  31.764   9.192  0.00  0.00\\nATOM     68  HA  PHE A   4      27.654  33.652   8.592  0.00  0.00\\nATOM     69  HB2 PHE A   4      24.809  34.264   9.535  0.00  0.00\\nATOM     70  HB3 PHE A   4      26.059  35.470   9.276  0.00  0.00\\nATOM     71  HD1 PHE A   4      23.523  33.417   7.744  0.00  0.00\\nATOM     72  HD2 PHE A   4      27.054  35.813   6.998  0.00  0.00\\nATOM     73  HE1 PHE A   4      22.936  33.500   5.306  0.00  0.00\\nATOM     74  HE2 PHE A   4      26.451  35.884   4.536  0.00  0.00\\nATOM     75  HZ  PHE A   4      24.350  34.921   3.808  0.00  0.00\\nATOM     76  N   VAL A   5      28.260  33.943  11.096  0.00  0.00\\nATOM     77  CA  VAL A   5      28.605  33.965  12.503  0.00  0.00\\nATOM     78  C   VAL A   5      28.638  35.461  12.900  0.00  0.00\\nATOM     79  O   VAL A   5      29.522  36.103  12.320  0.00  0.00\\nATOM     80  CB  VAL A   5      29.963  33.317  12.814  0.00  0.00\\nATOM     81  CG1 VAL A   5      30.211  33.394  14.304  0.00  0.00\\nATOM     82  CG2 VAL A   5      29.957  31.838  12.352  0.00  0.00\\nATOM     83  H   VAL A   5      28.880  34.382  10.431  0.00  0.00\\nATOM     84  HA  VAL A   5      27.849  33.405  13.054  0.00  0.00\\nATOM     85  HB  VAL A   5      30.745  33.862  12.284  0.00  0.00\\nATOM     86 HG11 VAL A   5      31.173  32.937  14.537  0.00  0.00\\nATOM     87 HG12 VAL A   5      30.220  34.438  14.618  0.00  0.00\\nATOM     88 HG13 VAL A   5      29.420  32.862  14.832  0.00  0.00\\nATOM     89 HG21 VAL A   5      30.922  31.384  12.574  0.00  0.00\\nATOM     90 HG22 VAL A   5      29.171  31.296  12.877  0.00  0.00\\nATOM     91 HG23 VAL A   5      29.774  31.793  11.278  0.00  0.00\\nATOM     92  N   LYS A   6      27.751  35.867  13.740  0.00  0.00\\nATOM     93  CA  LYS A   6      27.691  37.315  14.143  0.00  0.00\\nATOM     94  C   LYS A   6      28.469  37.475  15.420  0.00  0.00\\nATOM     95  O   LYS A   6      28.213  36.753  16.411  0.00  0.00\\nATOM     96  CB  LYS A   6      26.219  37.684  14.307  0.00  0.00\\nATOM     97  CG  LYS A   6      25.884  39.139  14.615  0.00  0.00\\nATOM     98  CD  LYS A   6      24.348  39.296  14.642  0.00  0.00\\nATOM     99  CE  LYS A   6      23.865  40.723  14.749  0.00  0.00\\nATOM    100  NZ  LYS A   6      22.375  40.720  14.907  0.00  0.00\\nATOM    101  H   LYS A   6      27.087  35.218  14.137  0.00  0.00\\nATOM    102  HA  LYS A   6      28.141  37.914  13.350  0.00  0.00\\nATOM    103  HB2 LYS A   6      25.678  37.436  13.394  0.00  0.00\\nATOM    104  HB3 LYS A   6      25.784  37.096  15.115  0.00  0.00\\nATOM    105  HG2 LYS A   6      26.311  39.414  15.580  0.00  0.00\\nATOM    106  HG3 LYS A   6      26.318  39.782  13.850  0.00  0.00\\nATOM    107  HD2 LYS A   6      23.923  38.876  13.729  0.00  0.00\\nATOM    108  HD3 LYS A   6      23.942  38.752  15.495  0.00  0.00\\nATOM    109  HE2 LYS A   6      24.336  41.203  15.605  0.00  0.00\\nATOM    110  HE3 LYS A   6      24.149  41.272  13.851  0.00  0.00\\nATOM    111  HZ1 LYS A   6      22.042  41.671  14.979  0.00  0.00\\nATOM    112  HZ2 LYS A   6      21.952  40.275  14.105  0.00  0.00\\nATOM    113  HZ3 LYS A   6      22.126  40.212  15.744  0.00  0.00\\nATOM    114  N   THR A   7      29.426  38.430  15.446  0.00  0.00\\nATOM    115  CA  THR A   7      30.225  38.643  16.662  0.00  0.00\\nATOM    116  C   THR A   7      29.664  39.839  17.434  0.00  0.00\\nATOM    117  O   THR A   7      28.850  40.565  16.859  0.00  0.00\\nATOM    118  CB  THR A   7      31.744  38.879  16.299  0.00  0.00\\nATOM    119  OG1 THR A   7      31.737  40.257  15.824  0.00  0.00\\nATOM    120  CG2 THR A   7      32.260  37.969  15.171  0.00  0.00\\nATOM    121  H   THR A   7      29.602  39.005  14.635  0.00  0.00\\nATOM    122  HA  THR A   7      30.152  37.751  17.284  0.00  0.00\\nATOM    123  HB  THR A   7      32.361  38.694  17.178  0.00  0.00\\nATOM    124  HG1 THR A   7      30.843  40.606  15.869  0.00  0.00\\nATOM    125 HG21 THR A   7      33.310  38.189  14.978  0.00  0.00\\nATOM    126 HG22 THR A   7      32.156  36.926  15.469  0.00  0.00\\nATOM    127 HG23 THR A   7      31.680  38.147  14.266  0.00  0.00\\nATOM    128  N   LEU A   8      30.132  40.069  18.642  0.00  0.00\\nATOM    129  CA  LEU A   8      29.607  41.180  19.467  0.00  0.00\\nATOM    130  C   LEU A   8      30.075  42.538  18.984  0.00  0.00\\nATOM    131  CB  LEU A   8      29.919  40.890  20.938  0.00  0.00\\nATOM    132  CG  LEU A   8      29.183  39.722  21.581  0.00  0.00\\nATOM    133  CD1 LEU A   8      29.308  39.750  23.095  0.00  0.00\\nATOM    134  CD2 LEU A   8      27.700  39.721  21.228  0.00  0.00\\nATOM    135  H   LEU A   8      30.862  39.480  19.017  0.00  0.00\\nATOM    136  HA  LEU A   8      28.528  41.234  19.328  0.00  0.00\\nATOM    137  HB2 LEU A   8      30.985  40.688  21.034  0.00  0.00\\nATOM    138  HB3 LEU A   8      29.684  41.778  21.525  0.00  0.00\\nATOM    139  HG  LEU A   8      29.617  38.783  21.235  0.00  0.00\\nATOM    140 HD11 LEU A   8      28.771  38.902  23.520  0.00  0.00\\nATOM    141 HD12 LEU A   8      30.360  39.689  23.374  0.00  0.00\\nATOM    142 HD13 LEU A   8      28.883  40.677  23.478  0.00  0.00\\nATOM    143 HD21 LEU A   8      27.213  38.871  21.706  0.00  0.00\\nATOM    144 HD22 LEU A   8      27.242  40.646  21.578  0.00  0.00\\nATOM    145 HD23 LEU A   8      27.583  39.645  20.147  0.00  0.00\\nATOM    146  O   LEU A   8      29.586  43.570  19.483  0.00  0.00\\nATOM    147  OXT LEU A   8      30.911  42.614  18.127  0.00  0.00\\nTER\\nENDMDL\\n\",\"pdb\");\n\tviewer_17885206080679686.setBackgroundColor(\"white\");\n\tviewer_17885206080679686.setStyle({},{\"cartoon\": {\"color\": \"spectrum\"}});\n\tviewer_17885206080679686.addStyle({\"not\": {\"hetflag\": true}},{\"stick\": {\"radius\": 0.08, \"opacity\": 0.55}});\n\tviewer_17885206080679686.setStyle({\"hetflag\": true},{\"stick\": {\"colorscheme\": \"orangeCarbon\", \"radius\": 0.22}});\n\tviewer_17885206080679686.addStyle({\"serial\": [1, 2, 3, 20, 21, 22, 37, 38, 39, 56, 57, 58, 76, 77, 78, 92, 93, 94, 114, 115, 116, 128, 129, 130]},{\"stick\": {\"color\": \"#7b2cbf\", \"radius\": 0.28}, \"sphere\": {\"color\": \"#7b2cbf\", \"radius\": 0.45}});\n\tviewer_17885206080679686.setHoverable({},true,\"function(atom,viewer) {\\n        if(!atom.label) {\\n            atom.label = viewer.addLabel(\\n                atom.chain + ':' + atom.resn + '(' + atom.resi + '):' +\\n                atom.atom + '(idx' + atom.serial + ')',\\n                {position: atom, backgroundColor:\\\"white\\\", fontColor:\\\"black\\\"}\\n            );\\n        }\\n    }\",\"function(atom,viewer) {\\n        if(atom.label) {\\n            viewer.removeLabel(atom.label);\\n            delete atom.label;\\n        }\\n    }\");\n\tviewer_17885206080679686.zoomTo();\nviewer_17885206080679686.render();\n});\n</script>",
      "text/html": [
       "<div id=\"3dmolviewer_17885206080679686\"  style=\"position: relative; width: 720px; height: 420px;\">\n",
       "        <p id=\"3dmolwarning_17885206080679686\" style=\"background-color:#ffcccc;color:black\">3Dmol.js failed to load for some reason.  Please check your browser console for error messages.<br></p>\n",
       "        </div>\n",
       "<script>\n",
       "\n",
       "var loadScriptAsync = function(uri){\n",
       "  return new Promise((resolve, reject) => {\n",
       "    //this is to ignore the existence of requirejs amd\n",
       "    var savedexports, savedmodule;\n",
       "    if (typeof exports !== 'undefined') savedexports = exports;\n",
       "    else exports = {}\n",
       "    if (typeof module !== 'undefined') savedmodule = module;\n",
       "    else module = {}\n",
       "\n",
       "    var tag = document.createElement('script');\n",
       "    tag.src = uri;\n",
       "    tag.async = true;\n",
       "    tag.onload = () => {\n",
       "        exports = savedexports;\n",
       "        module = savedmodule;\n",
       "        resolve();\n",
       "    };\n",
       "  var firstScriptTag = document.getElementsByTagName('script')[0];\n",
       "  firstScriptTag.parentNode.insertBefore(tag, firstScriptTag);\n",
       "});\n",
       "};\n",
       "\n",
       "if(typeof $3Dmolpromise === 'undefined') {\n",
       "$3Dmolpromise = null;\n",
       "  $3Dmolpromise = loadScriptAsync('https://cdn.jsdelivr.net/npm/3dmol@2.5.5/build/3Dmol-min.js');\n",
       "}\n",
       "\n",
       "var viewer_17885206080679686 = null;\n",
       "var warn = document.getElementById(\"3dmolwarning_17885206080679686\");\n",
       "if(warn) {\n",
       "    warn.parentNode.removeChild(warn);\n",
       "}\n",
       "$3Dmolpromise.then(function() {\n",
       "viewer_17885206080679686 = $3Dmol.createViewer(document.getElementById(\"3dmolviewer_17885206080679686\"),{backgroundColor:\"white\"});\n",
       "viewer_17885206080679686.zoomTo();\n",
       "\tviewer_17885206080679686.addModel(\"MODEL 1\\nATOM      1  N   MET A   1      27.340  24.430   2.614  0.00  0.00\\nATOM      2  CA  MET A   1      26.266  25.413   2.842  0.00  0.00\\nATOM      3  C   MET A   1      26.913  26.639   3.531  0.00  0.00\\nATOM      4  O   MET A   1      27.886  26.463   4.263  0.00  0.00\\nATOM      5  CB  MET A   1      25.112  24.880   3.649  0.00  0.00\\nATOM      6  CG  MET A   1      25.353  24.860   5.134  0.00  0.00\\nATOM      7  SD  MET A   1      23.930  23.959   5.904  0.00  0.00\\nATOM      8  CE  MET A   1      24.447  23.984   7.620  0.00  0.00\\nATOM      9  HA  MET A   1      25.864  25.717   1.875  0.00  0.00\\nATOM     10  HB2 MET A   1      24.227  25.486   3.461  0.00  0.00\\nATOM     11  HB3 MET A   1      24.886  23.861   3.332  0.00  0.00\\nATOM     12  HG2 MET A   1      26.298  24.359   5.342  0.00  0.00\\nATOM     13  HG3 MET A   1      25.421  25.882   5.505  0.00  0.00\\nATOM     14  HE1 MET A   1      23.700  23.479   8.233  0.00  0.00\\nATOM     15  HE2 MET A   1      25.405  23.472   7.719  0.00  0.00\\nATOM     16  HE3 MET A   1      24.552  25.017   7.954  0.00  0.00\\nATOM     17  H1  MET A   1      26.961  23.619   2.168  0.00  0.00\\nATOM     18  H2  MET A   1      28.043  24.834   2.029  0.00  0.00\\nATOM     19  H3  MET A   1      27.746  24.169   3.490  0.00  0.00\\nATOM     20  N   GLN A   2      26.335  27.770   3.258  0.00  0.00\\nATOM     21  CA  GLN A   2      26.850  29.021   3.898  0.00  0.00\\nATOM     22  C   GLN A   2      26.100  29.253   5.202  0.00  0.00\\nATOM     23  O   GLN A   2      24.865  29.024   5.330  0.00  0.00\\nATOM     24  CB  GLN A   2      26.733  30.148   2.905  0.00  0.00\\nATOM     25  CG  GLN A   2      26.882  31.546   3.409  0.00  0.00\\nATOM     26  CD  GLN A   2      26.786  32.562   2.270  0.00  0.00\\nATOM     27  OE1 GLN A   2      27.783  33.160   1.870  0.00  0.00\\nATOM     28  NE2 GLN A   2      25.562  32.733   1.806  0.00  0.00\\nATOM     29  H   GLN A   2      25.549  27.828   2.627  0.00  0.00\\nATOM     30  HA  GLN A   2      27.898  28.870   4.158  0.00  0.00\\nATOM     31  HB2 GLN A   2      27.488  30.028   2.128  0.00  0.00\\nATOM     32  HB3 GLN A   2      25.757  30.107   2.422  0.00  0.00\\nATOM     33  HG2 GLN A   2      26.089  31.748   4.128  0.00  0.00\\nATOM     34  HG3 GLN A   2      27.856  31.647   3.889  0.00  0.00\\nATOM     35 HE21 GLN A   2      24.801  32.218   2.200  0.00  0.00\\nATOM     36 HE22 GLN A   2      25.395  33.378   1.059  0.00  0.00\\nATOM     37  N   ILE A   3      26.849  29.656   6.217  0.00  0.00\\nATOM     38  CA  ILE A   3      26.235  30.058   7.497  0.00  0.00\\nATOM     39  C   ILE A   3      26.882  31.428   7.862  0.00  0.00\\nATOM     40  O   ILE A   3      27.906  31.711   7.264  0.00  0.00\\nATOM     41  CB  ILE A   3      26.344  29.050   8.645  0.00  0.00\\nATOM     42  CG1 ILE A   3      27.810  28.748   8.999  0.00  0.00\\nATOM     43  CG2 ILE A   3      25.491  27.771   8.287  0.00  0.00\\nATOM     44  CD1 ILE A   3      27.967  28.087  10.417  0.00  0.00\\nATOM     45  H   ILE A   3      27.854  29.691   6.121  0.00  0.00\\nATOM     46  HA  ILE A   3      25.168  30.210   7.336  0.00  0.00\\nATOM     47  HB  ILE A   3      25.964  29.500   9.562  0.00  0.00\\nATOM     48 HG12 ILE A   3      28.235  28.081   8.250  0.00  0.00\\nATOM     49 HG13 ILE A   3      28.388  29.672   8.977  0.00  0.00\\nATOM     50 HG21 ILE A   3      25.563  27.047   9.098  0.00  0.00\\nATOM     51 HG22 ILE A   3      24.449  28.056   8.147  0.00  0.00\\nATOM     52 HG23 ILE A   3      25.872  27.325   7.368  0.00  0.00\\nATOM     53 HD11 ILE A   3      29.022  27.896  10.615  0.00  0.00\\nATOM     54 HD12 ILE A   3      27.571  28.760  11.178  0.00  0.00\\nATOM     55 HD13 ILE A   3      27.418  27.147  10.443  0.00  0.00\\nATOM     56  N   PHE A   4      26.214  32.097   8.771  0.00  0.00\\nATOM     57  CA  PHE A   4      26.772  33.436   9.197  0.00  0.00\\nATOM     58  C   PHE A   4      27.151  33.362  10.650  0.00  0.00\\nATOM     59  O   PHE A   4      26.350  32.778  11.395  0.00  0.00\\nATOM     60  CB  PHE A   4      25.695  34.498   8.946  0.00  0.00\\nATOM     61  CG  PHE A   4      25.288  34.609   7.499  0.00  0.00\\nATOM     62  CD1 PHE A   4      24.147  33.966   7.038  0.00  0.00\\nATOM     63  CD2 PHE A   4      26.136  35.346   6.640  0.00  0.00\\nATOM     64  CE1 PHE A   4      23.812  34.031   5.677  0.00  0.00\\nATOM     65  CE2 PHE A   4      25.810  35.392   5.267  0.00  0.00\\nATOM     66  CZ  PHE A   4      24.620  34.778   4.853  0.00  0.00\\nATOM     67  H   PHE A   4      25.358  31.764   9.192  0.00  0.00\\nATOM     68  HA  PHE A   4      27.654  33.652   8.592  0.00  0.00\\nATOM     69  HB2 PHE A   4      24.809  34.264   9.535  0.00  0.00\\nATOM     70  HB3 PHE A   4      26.059  35.470   9.276  0.00  0.00\\nATOM     71  HD1 PHE A   4      23.523  33.417   7.744  0.00  0.00\\nATOM     72  HD2 PHE A   4      27.054  35.813   6.998  0.00  0.00\\nATOM     73  HE1 PHE A   4      22.936  33.500   5.306  0.00  0.00\\nATOM     74  HE2 PHE A   4      26.451  35.884   4.536  0.00  0.00\\nATOM     75  HZ  PHE A   4      24.350  34.921   3.808  0.00  0.00\\nATOM     76  N   VAL A   5      28.260  33.943  11.096  0.00  0.00\\nATOM     77  CA  VAL A   5      28.605  33.965  12.503  0.00  0.00\\nATOM     78  C   VAL A   5      28.638  35.461  12.900  0.00  0.00\\nATOM     79  O   VAL A   5      29.522  36.103  12.320  0.00  0.00\\nATOM     80  CB  VAL A   5      29.963  33.317  12.814  0.00  0.00\\nATOM     81  CG1 VAL A   5      30.211  33.394  14.304  0.00  0.00\\nATOM     82  CG2 VAL A   5      29.957  31.838  12.352  0.00  0.00\\nATOM     83  H   VAL A   5      28.880  34.382  10.431  0.00  0.00\\nATOM     84  HA  VAL A   5      27.849  33.405  13.054  0.00  0.00\\nATOM     85  HB  VAL A   5      30.745  33.862  12.284  0.00  0.00\\nATOM     86 HG11 VAL A   5      31.173  32.937  14.537  0.00  0.00\\nATOM     87 HG12 VAL A   5      30.220  34.438  14.618  0.00  0.00\\nATOM     88 HG13 VAL A   5      29.420  32.862  14.832  0.00  0.00\\nATOM     89 HG21 VAL A   5      30.922  31.384  12.574  0.00  0.00\\nATOM     90 HG22 VAL A   5      29.171  31.296  12.877  0.00  0.00\\nATOM     91 HG23 VAL A   5      29.774  31.793  11.278  0.00  0.00\\nATOM     92  N   LYS A   6      27.751  35.867  13.740  0.00  0.00\\nATOM     93  CA  LYS A   6      27.691  37.315  14.143  0.00  0.00\\nATOM     94  C   LYS A   6      28.469  37.475  15.420  0.00  0.00\\nATOM     95  O   LYS A   6      28.213  36.753  16.411  0.00  0.00\\nATOM     96  CB  LYS A   6      26.219  37.684  14.307  0.00  0.00\\nATOM     97  CG  LYS A   6      25.884  39.139  14.615  0.00  0.00\\nATOM     98  CD  LYS A   6      24.348  39.296  14.642  0.00  0.00\\nATOM     99  CE  LYS A   6      23.865  40.723  14.749  0.00  0.00\\nATOM    100  NZ  LYS A   6      22.375  40.720  14.907  0.00  0.00\\nATOM    101  H   LYS A   6      27.087  35.218  14.137  0.00  0.00\\nATOM    102  HA  LYS A   6      28.141  37.914  13.350  0.00  0.00\\nATOM    103  HB2 LYS A   6      25.678  37.436  13.394  0.00  0.00\\nATOM    104  HB3 LYS A   6      25.784  37.096  15.115  0.00  0.00\\nATOM    105  HG2 LYS A   6      26.311  39.414  15.580  0.00  0.00\\nATOM    106  HG3 LYS A   6      26.318  39.782  13.850  0.00  0.00\\nATOM    107  HD2 LYS A   6      23.923  38.876  13.729  0.00  0.00\\nATOM    108  HD3 LYS A   6      23.942  38.752  15.495  0.00  0.00\\nATOM    109  HE2 LYS A   6      24.336  41.203  15.605  0.00  0.00\\nATOM    110  HE3 LYS A   6      24.149  41.272  13.851  0.00  0.00\\nATOM    111  HZ1 LYS A   6      22.042  41.671  14.979  0.00  0.00\\nATOM    112  HZ2 LYS A   6      21.952  40.275  14.105  0.00  0.00\\nATOM    113  HZ3 LYS A   6      22.126  40.212  15.744  0.00  0.00\\nATOM    114  N   THR A   7      29.426  38.430  15.446  0.00  0.00\\nATOM    115  CA  THR A   7      30.225  38.643  16.662  0.00  0.00\\nATOM    116  C   THR A   7      29.664  39.839  17.434  0.00  0.00\\nATOM    117  O   THR A   7      28.850  40.565  16.859  0.00  0.00\\nATOM    118  CB  THR A   7      31.744  38.879  16.299  0.00  0.00\\nATOM    119  OG1 THR A   7      31.737  40.257  15.824  0.00  0.00\\nATOM    120  CG2 THR A   7      32.260  37.969  15.171  0.00  0.00\\nATOM    121  H   THR A   7      29.602  39.005  14.635  0.00  0.00\\nATOM    122  HA  THR A   7      30.152  37.751  17.284  0.00  0.00\\nATOM    123  HB  THR A   7      32.361  38.694  17.178  0.00  0.00\\nATOM    124  HG1 THR A   7      30.843  40.606  15.869  0.00  0.00\\nATOM    125 HG21 THR A   7      33.310  38.189  14.978  0.00  0.00\\nATOM    126 HG22 THR A   7      32.156  36.926  15.469  0.00  0.00\\nATOM    127 HG23 THR A   7      31.680  38.147  14.266  0.00  0.00\\nATOM    128  N   LEU A   8      30.132  40.069  18.642  0.00  0.00\\nATOM    129  CA  LEU A   8      29.607  41.180  19.467  0.00  0.00\\nATOM    130  C   LEU A   8      30.075  42.538  18.984  0.00  0.00\\nATOM    131  CB  LEU A   8      29.919  40.890  20.938  0.00  0.00\\nATOM    132  CG  LEU A   8      29.183  39.722  21.581  0.00  0.00\\nATOM    133  CD1 LEU A   8      29.308  39.750  23.095  0.00  0.00\\nATOM    134  CD2 LEU A   8      27.700  39.721  21.228  0.00  0.00\\nATOM    135  H   LEU A   8      30.862  39.480  19.017  0.00  0.00\\nATOM    136  HA  LEU A   8      28.528  41.234  19.328  0.00  0.00\\nATOM    137  HB2 LEU A   8      30.985  40.688  21.034  0.00  0.00\\nATOM    138  HB3 LEU A   8      29.684  41.778  21.525  0.00  0.00\\nATOM    139  HG  LEU A   8      29.617  38.783  21.235  0.00  0.00\\nATOM    140 HD11 LEU A   8      28.771  38.902  23.520  0.00  0.00\\nATOM    141 HD12 LEU A   8      30.360  39.689  23.374  0.00  0.00\\nATOM    142 HD13 LEU A   8      28.883  40.677  23.478  0.00  0.00\\nATOM    143 HD21 LEU A   8      27.213  38.871  21.706  0.00  0.00\\nATOM    144 HD22 LEU A   8      27.242  40.646  21.578  0.00  0.00\\nATOM    145 HD23 LEU A   8      27.583  39.645  20.147  0.00  0.00\\nATOM    146  O   LEU A   8      29.586  43.570  19.483  0.00  0.00\\nATOM    147  OXT LEU A   8      30.911  42.614  18.127  0.00  0.00\\nTER\\nENDMDL\\n\",\"pdb\");\n",
       "\tviewer_17885206080679686.setBackgroundColor(\"white\");\n",
       "\tviewer_17885206080679686.setStyle({},{\"cartoon\": {\"color\": \"spectrum\"}});\n",
       "\tviewer_17885206080679686.addStyle({\"not\": {\"hetflag\": true}},{\"stick\": {\"radius\": 0.08, \"opacity\": 0.55}});\n",
       "\tviewer_17885206080679686.setStyle({\"hetflag\": true},{\"stick\": {\"colorscheme\": \"orangeCarbon\", \"radius\": 0.22}});\n",
       "\tviewer_17885206080679686.addStyle({\"serial\": [1, 2, 3, 20, 21, 22, 37, 38, 39, 56, 57, 58, 76, 77, 78, 92, 93, 94, 114, 115, 116, 128, 129, 130]},{\"stick\": {\"color\": \"#7b2cbf\", \"radius\": 0.28}, \"sphere\": {\"color\": \"#7b2cbf\", \"radius\": 0.45}});\n",
       "\tviewer_17885206080679686.setHoverable({},true,\"function(atom,viewer) {\\n        if(!atom.label) {\\n            atom.label = viewer.addLabel(\\n                atom.chain + ':' + atom.resn + '(' + atom.resi + '):' +\\n                atom.atom + '(idx' + atom.serial + ')',\\n                {position: atom, backgroundColor:\\\"white\\\", fontColor:\\\"black\\\"}\\n            );\\n        }\\n    }\",\"function(atom,viewer) {\\n        if(atom.label) {\\n            viewer.removeLabel(atom.label);\\n            delete atom.label;\\n        }\\n    }\");\n",
       "\tviewer_17885206080679686.zoomTo();\n",
       "viewer_17885206080679686.render();\n",
       "});\n",
       "</script>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "\n",
       "<div class=\"tmol-switchable-view\" id=\"tmol-switch-77a2a8f1f30444c1959404e3ba074abc\" style=\"max-width:720px\">\n",
       "  <label>Structure: <select id=\"tmol-switch-77a2a8f1f30444c1959404e3ba074abc-select\"><option value=\"0\">before</option><option value=\"1\">Cartesian, unconstrained</option><option value=\"2\">Cartesian, constrained</option><option value=\"3\">Kinematic, unconstrained</option><option value=\"4\">Kinematic, constrained</option></select></label>\n",
       "  <div style=\"position:relative;width:100%;height:452px\">\n",
       "    \n",
       "<section id=\"tmol-switch-77a2a8f1f30444c1959404e3ba074abc-panel-0\" class=\"tmol-switch-panel\"\n",
       "         style=\"position:absolute;inset:0;visibility:visible\">\n",
       "  <div class=\"tmol-viewer-note\">Starting 1UBQ slice</div>\n",
       "  <div id=\"3dmolviewer_1788520608078455\"  style=\"position: relative; width: 720px; height: 420px;\">\n",
       "        <p id=\"3dmolwarning_1788520608078455\" style=\"background-color:#ffcccc;color:black\">3Dmol.js failed to load for some reason.  Please check your browser console for error messages.<br></p>\n",
       "        </div>\n",
       "<script>\n",
       "\n",
       "var loadScriptAsync = function(uri){\n",
       "  return new Promise((resolve, reject) => {\n",
       "    //this is to ignore the existence of requirejs amd\n",
       "    var savedexports, savedmodule;\n",
       "    if (typeof exports !== 'undefined') savedexports = exports;\n",
       "    else exports = {}\n",
       "    if (typeof module !== 'undefined') savedmodule = module;\n",
       "    else module = {}\n",
       "\n",
       "    var tag = document.createElement('script');\n",
       "    tag.src = uri;\n",
       "    tag.async = true;\n",
       "    tag.onload = () => {\n",
       "        exports = savedexports;\n",
       "        module = savedmodule;\n",
       "        resolve();\n",
       "    };\n",
       "  var firstScriptTag = document.getElementsByTagName('script')[0];\n",
       "  firstScriptTag.parentNode.insertBefore(tag, firstScriptTag);\n",
       "});\n",
       "};\n",
       "\n",
       "if(typeof $3Dmolpromise === 'undefined') {\n",
       "$3Dmolpromise = null;\n",
       "  $3Dmolpromise = loadScriptAsync('https://cdn.jsdelivr.net/npm/3dmol@2.5.5/build/3Dmol-min.js');\n",
       "}\n",
       "\n",
       "var viewer_1788520608078455 = null;\n",
       "var warn = document.getElementById(\"3dmolwarning_1788520608078455\");\n",
       "if(warn) {\n",
       "    warn.parentNode.removeChild(warn);\n",
       "}\n",
       "$3Dmolpromise.then(function() {\n",
       "viewer_1788520608078455 = $3Dmol.createViewer(document.getElementById(\"3dmolviewer_1788520608078455\"),{backgroundColor:\"white\"});\n",
       "viewer_1788520608078455.zoomTo();\n",
       "\tviewer_1788520608078455.addModel(\"MODEL 1\\nATOM      1  N   MET A   1      27.340  24.430   2.614  0.00  0.00\\nATOM      2  CA  MET A   1      26.266  25.413   2.842  0.00  0.00\\nATOM      3  C   MET A   1      26.913  26.639   3.531  0.00  0.00\\nATOM      4  O   MET A   1      27.886  26.463   4.263  0.00  0.00\\nATOM      5  CB  MET A   1      25.112  24.880   3.649  0.00  0.00\\nATOM      6  CG  MET A   1      25.353  24.860   5.134  0.00  0.00\\nATOM      7  SD  MET A   1      23.930  23.959   5.904  0.00  0.00\\nATOM      8  CE  MET A   1      24.447  23.984   7.620  0.00  0.00\\nATOM      9  HA  MET A   1      25.864  25.717   1.875  0.00  0.00\\nATOM     10  HB2 MET A   1      24.227  25.486   3.461  0.00  0.00\\nATOM     11  HB3 MET A   1      24.886  23.861   3.332  0.00  0.00\\nATOM     12  HG2 MET A   1      26.298  24.359   5.342  0.00  0.00\\nATOM     13  HG3 MET A   1      25.421  25.882   5.505  0.00  0.00\\nATOM     14  HE1 MET A   1      23.700  23.479   8.233  0.00  0.00\\nATOM     15  HE2 MET A   1      25.405  23.472   7.719  0.00  0.00\\nATOM     16  HE3 MET A   1      24.552  25.017   7.954  0.00  0.00\\nATOM     17  H1  MET A   1      26.961  23.619   2.168  0.00  0.00\\nATOM     18  H2  MET A   1      28.043  24.834   2.029  0.00  0.00\\nATOM     19  H3  MET A   1      27.746  24.169   3.490  0.00  0.00\\nATOM     20  N   GLN A   2      26.335  27.770   3.258  0.00  0.00\\nATOM     21  CA  GLN A   2      26.850  29.021   3.898  0.00  0.00\\nATOM     22  C   GLN A   2      26.100  29.253   5.202  0.00  0.00\\nATOM     23  O   GLN A   2      24.865  29.024   5.330  0.00  0.00\\nATOM     24  CB  GLN A   2      26.733  30.148   2.905  0.00  0.00\\nATOM     25  CG  GLN A   2      26.882  31.546   3.409  0.00  0.00\\nATOM     26  CD  GLN A   2      26.786  32.562   2.270  0.00  0.00\\nATOM     27  OE1 GLN A   2      27.783  33.160   1.870  0.00  0.00\\nATOM     28  NE2 GLN A   2      25.562  32.733   1.806  0.00  0.00\\nATOM     29  H   GLN A   2      25.549  27.828   2.627  0.00  0.00\\nATOM     30  HA  GLN A   2      27.898  28.870   4.158  0.00  0.00\\nATOM     31  HB2 GLN A   2      27.488  30.028   2.128  0.00  0.00\\nATOM     32  HB3 GLN A   2      25.757  30.107   2.422  0.00  0.00\\nATOM     33  HG2 GLN A   2      26.089  31.748   4.128  0.00  0.00\\nATOM     34  HG3 GLN A   2      27.856  31.647   3.889  0.00  0.00\\nATOM     35 HE21 GLN A   2      24.801  32.218   2.200  0.00  0.00\\nATOM     36 HE22 GLN A   2      25.395  33.378   1.059  0.00  0.00\\nATOM     37  N   ILE A   3      26.849  29.656   6.217  0.00  0.00\\nATOM     38  CA  ILE A   3      26.235  30.058   7.497  0.00  0.00\\nATOM     39  C   ILE A   3      26.882  31.428   7.862  0.00  0.00\\nATOM     40  O   ILE A   3      27.906  31.711   7.264  0.00  0.00\\nATOM     41  CB  ILE A   3      26.344  29.050   8.645  0.00  0.00\\nATOM     42  CG1 ILE A   3      27.810  28.748   8.999  0.00  0.00\\nATOM     43  CG2 ILE A   3      25.491  27.771   8.287  0.00  0.00\\nATOM     44  CD1 ILE A   3      27.967  28.087  10.417  0.00  0.00\\nATOM     45  H   ILE A   3      27.854  29.691   6.121  0.00  0.00\\nATOM     46  HA  ILE A   3      25.168  30.210   7.336  0.00  0.00\\nATOM     47  HB  ILE A   3      25.964  29.500   9.562  0.00  0.00\\nATOM     48 HG12 ILE A   3      28.235  28.081   8.250  0.00  0.00\\nATOM     49 HG13 ILE A   3      28.388  29.672   8.977  0.00  0.00\\nATOM     50 HG21 ILE A   3      25.563  27.047   9.098  0.00  0.00\\nATOM     51 HG22 ILE A   3      24.449  28.056   8.147  0.00  0.00\\nATOM     52 HG23 ILE A   3      25.872  27.325   7.368  0.00  0.00\\nATOM     53 HD11 ILE A   3      29.022  27.896  10.615  0.00  0.00\\nATOM     54 HD12 ILE A   3      27.571  28.760  11.178  0.00  0.00\\nATOM     55 HD13 ILE A   3      27.418  27.147  10.443  0.00  0.00\\nATOM     56  N   PHE A   4      26.214  32.097   8.771  0.00  0.00\\nATOM     57  CA  PHE A   4      26.772  33.436   9.197  0.00  0.00\\nATOM     58  C   PHE A   4      27.151  33.362  10.650  0.00  0.00\\nATOM     59  O   PHE A   4      26.350  32.778  11.395  0.00  0.00\\nATOM     60  CB  PHE A   4      25.695  34.498   8.946  0.00  0.00\\nATOM     61  CG  PHE A   4      25.288  34.609   7.499  0.00  0.00\\nATOM     62  CD1 PHE A   4      24.147  33.966   7.038  0.00  0.00\\nATOM     63  CD2 PHE A   4      26.136  35.346   6.640  0.00  0.00\\nATOM     64  CE1 PHE A   4      23.812  34.031   5.677  0.00  0.00\\nATOM     65  CE2 PHE A   4      25.810  35.392   5.267  0.00  0.00\\nATOM     66  CZ  PHE A   4      24.620  34.778   4.853  0.00  0.00\\nATOM     67  H   PHE A   4      25.358  31.764   9.192  0.00  0.00\\nATOM     68  HA  PHE A   4      27.654  33.652   8.592  0.00  0.00\\nATOM     69  HB2 PHE A   4      24.809  34.264   9.535  0.00  0.00\\nATOM     70  HB3 PHE A   4      26.059  35.470   9.276  0.00  0.00\\nATOM     71  HD1 PHE A   4      23.523  33.417   7.744  0.00  0.00\\nATOM     72  HD2 PHE A   4      27.054  35.813   6.998  0.00  0.00\\nATOM     73  HE1 PHE A   4      22.936  33.500   5.306  0.00  0.00\\nATOM     74  HE2 PHE A   4      26.451  35.884   4.536  0.00  0.00\\nATOM     75  HZ  PHE A   4      24.350  34.921   3.808  0.00  0.00\\nATOM     76  N   VAL A   5      28.260  33.943  11.096  0.00  0.00\\nATOM     77  CA  VAL A   5      28.605  33.965  12.503  0.00  0.00\\nATOM     78  C   VAL A   5      28.638  35.461  12.900  0.00  0.00\\nATOM     79  O   VAL A   5      29.522  36.103  12.320  0.00  0.00\\nATOM     80  CB  VAL A   5      29.963  33.317  12.814  0.00  0.00\\nATOM     81  CG1 VAL A   5      30.211  33.394  14.304  0.00  0.00\\nATOM     82  CG2 VAL A   5      29.957  31.838  12.352  0.00  0.00\\nATOM     83  H   VAL A   5      28.880  34.382  10.431  0.00  0.00\\nATOM     84  HA  VAL A   5      27.849  33.405  13.054  0.00  0.00\\nATOM     85  HB  VAL A   5      30.745  33.862  12.284  0.00  0.00\\nATOM     86 HG11 VAL A   5      31.173  32.937  14.537  0.00  0.00\\nATOM     87 HG12 VAL A   5      30.220  34.438  14.618  0.00  0.00\\nATOM     88 HG13 VAL A   5      29.420  32.862  14.832  0.00  0.00\\nATOM     89 HG21 VAL A   5      30.922  31.384  12.574  0.00  0.00\\nATOM     90 HG22 VAL A   5      29.171  31.296  12.877  0.00  0.00\\nATOM     91 HG23 VAL A   5      29.774  31.793  11.278  0.00  0.00\\nATOM     92  N   LYS A   6      27.751  35.867  13.740  0.00  0.00\\nATOM     93  CA  LYS A   6      27.691  37.315  14.143  0.00  0.00\\nATOM     94  C   LYS A   6      28.469  37.475  15.420  0.00  0.00\\nATOM     95  O   LYS A   6      28.213  36.753  16.411  0.00  0.00\\nATOM     96  CB  LYS A   6      26.219  37.684  14.307  0.00  0.00\\nATOM     97  CG  LYS A   6      25.884  39.139  14.615  0.00  0.00\\nATOM     98  CD  LYS A   6      24.348  39.296  14.642  0.00  0.00\\nATOM     99  CE  LYS A   6      23.865  40.723  14.749  0.00  0.00\\nATOM    100  NZ  LYS A   6      22.375  40.720  14.907  0.00  0.00\\nATOM    101  H   LYS A   6      27.087  35.218  14.137  0.00  0.00\\nATOM    102  HA  LYS A   6      28.141  37.914  13.350  0.00  0.00\\nATOM    103  HB2 LYS A   6      25.678  37.436  13.394  0.00  0.00\\nATOM    104  HB3 LYS A   6      25.784  37.096  15.115  0.00  0.00\\nATOM    105  HG2 LYS A   6      26.311  39.414  15.580  0.00  0.00\\nATOM    106  HG3 LYS A   6      26.318  39.782  13.850  0.00  0.00\\nATOM    107  HD2 LYS A   6      23.923  38.876  13.729  0.00  0.00\\nATOM    108  HD3 LYS A   6      23.942  38.752  15.495  0.00  0.00\\nATOM    109  HE2 LYS A   6      24.336  41.203  15.605  0.00  0.00\\nATOM    110  HE3 LYS A   6      24.149  41.272  13.851  0.00  0.00\\nATOM    111  HZ1 LYS A   6      22.042  41.671  14.979  0.00  0.00\\nATOM    112  HZ2 LYS A   6      21.952  40.275  14.105  0.00  0.00\\nATOM    113  HZ3 LYS A   6      22.126  40.212  15.744  0.00  0.00\\nATOM    114  N   THR A   7      29.426  38.430  15.446  0.00  0.00\\nATOM    115  CA  THR A   7      30.225  38.643  16.662  0.00  0.00\\nATOM    116  C   THR A   7      29.664  39.839  17.434  0.00  0.00\\nATOM    117  O   THR A   7      28.850  40.565  16.859  0.00  0.00\\nATOM    118  CB  THR A   7      31.744  38.879  16.299  0.00  0.00\\nATOM    119  OG1 THR A   7      31.737  40.257  15.824  0.00  0.00\\nATOM    120  CG2 THR A   7      32.260  37.969  15.171  0.00  0.00\\nATOM    121  H   THR A   7      29.602  39.005  14.635  0.00  0.00\\nATOM    122  HA  THR A   7      30.152  37.751  17.284  0.00  0.00\\nATOM    123  HB  THR A   7      32.361  38.694  17.178  0.00  0.00\\nATOM    124  HG1 THR A   7      30.843  40.606  15.869  0.00  0.00\\nATOM    125 HG21 THR A   7      33.310  38.189  14.978  0.00  0.00\\nATOM    126 HG22 THR A   7      32.156  36.926  15.469  0.00  0.00\\nATOM    127 HG23 THR A   7      31.680  38.147  14.266  0.00  0.00\\nATOM    128  N   LEU A   8      30.132  40.069  18.642  0.00  0.00\\nATOM    129  CA  LEU A   8      29.607  41.180  19.467  0.00  0.00\\nATOM    130  C   LEU A   8      30.075  42.538  18.984  0.00  0.00\\nATOM    131  CB  LEU A   8      29.919  40.890  20.938  0.00  0.00\\nATOM    132  CG  LEU A   8      29.183  39.722  21.581  0.00  0.00\\nATOM    133  CD1 LEU A   8      29.308  39.750  23.095  0.00  0.00\\nATOM    134  CD2 LEU A   8      27.700  39.721  21.228  0.00  0.00\\nATOM    135  H   LEU A   8      30.862  39.480  19.017  0.00  0.00\\nATOM    136  HA  LEU A   8      28.528  41.234  19.328  0.00  0.00\\nATOM    137  HB2 LEU A   8      30.985  40.688  21.034  0.00  0.00\\nATOM    138  HB3 LEU A   8      29.684  41.778  21.525  0.00  0.00\\nATOM    139  HG  LEU A   8      29.617  38.783  21.235  0.00  0.00\\nATOM    140 HD11 LEU A   8      28.771  38.902  23.520  0.00  0.00\\nATOM    141 HD12 LEU A   8      30.360  39.689  23.374  0.00  0.00\\nATOM    142 HD13 LEU A   8      28.883  40.677  23.478  0.00  0.00\\nATOM    143 HD21 LEU A   8      27.213  38.871  21.706  0.00  0.00\\nATOM    144 HD22 LEU A   8      27.242  40.646  21.578  0.00  0.00\\nATOM    145 HD23 LEU A   8      27.583  39.645  20.147  0.00  0.00\\nATOM    146  O   LEU A   8      29.586  43.570  19.483  0.00  0.00\\nATOM    147  OXT LEU A   8      30.911  42.614  18.127  0.00  0.00\\nTER\\nENDMDL\\n\",\"pdb\");\n",
       "\tviewer_1788520608078455.setBackgroundColor(\"white\");\n",
       "\tviewer_1788520608078455.setStyle({},{\"cartoon\": {\"color\": \"spectrum\"}});\n",
       "\tviewer_1788520608078455.addStyle({\"not\": {\"hetflag\": true}},{\"stick\": {\"radius\": 0.08, \"opacity\": 0.55}});\n",
       "\tviewer_1788520608078455.setStyle({\"hetflag\": true},{\"stick\": {\"colorscheme\": \"orangeCarbon\", \"radius\": 0.22}});\n",
       "\tviewer_1788520608078455.setHoverable({},true,\"function(atom,viewer) {\\n        if(!atom.label) {\\n            atom.label = viewer.addLabel(\\n                atom.chain + ':' + atom.resn + '(' + atom.resi + '):' +\\n                atom.atom + '(idx' + atom.serial + ')',\\n                {position: atom, backgroundColor:\\\"white\\\", fontColor:\\\"black\\\"}\\n            );\\n        }\\n    }\",\"function(atom,viewer) {\\n        if(atom.label) {\\n            viewer.removeLabel(atom.label);\\n            delete atom.label;\\n        }\\n    }\");\n",
       "\tviewer_1788520608078455.zoomTo();\n",
       "viewer_1788520608078455.render();\n",
       "});\n",
       "</script>\n",
       "</section>\n",
       "<section id=\"tmol-switch-77a2a8f1f30444c1959404e3ba074abc-panel-1\" class=\"tmol-switch-panel\"\n",
       "         style=\"position:absolute;inset:0;visibility:hidden\">\n",
       "  <div class=\"tmol-viewer-note\">objective change -16.902 score units; non-constraint 10.524; constraint 0.000; main-chain raw/aligned 0.059/0.055 Å; convergence not assessed</div>\n",
       "  <div id=\"3dmolviewer_17885206080863385\"  style=\"position: relative; width: 720px; height: 420px;\">\n",
       "        <p id=\"3dmolwarning_17885206080863385\" style=\"background-color:#ffcccc;color:black\">3Dmol.js failed to load for some reason.  Please check your browser console for error messages.<br></p>\n",
       "        </div>\n",
       "<script>\n",
       "\n",
       "var loadScriptAsync = function(uri){\n",
       "  return new Promise((resolve, reject) => {\n",
       "    //this is to ignore the existence of requirejs amd\n",
       "    var savedexports, savedmodule;\n",
       "    if (typeof exports !== 'undefined') savedexports = exports;\n",
       "    else exports = {}\n",
       "    if (typeof module !== 'undefined') savedmodule = module;\n",
       "    else module = {}\n",
       "\n",
       "    var tag = document.createElement('script');\n",
       "    tag.src = uri;\n",
       "    tag.async = true;\n",
       "    tag.onload = () => {\n",
       "        exports = savedexports;\n",
       "        module = savedmodule;\n",
       "        resolve();\n",
       "    };\n",
       "  var firstScriptTag = document.getElementsByTagName('script')[0];\n",
       "  firstScriptTag.parentNode.insertBefore(tag, firstScriptTag);\n",
       "});\n",
       "};\n",
       "\n",
       "if(typeof $3Dmolpromise === 'undefined') {\n",
       "$3Dmolpromise = null;\n",
       "  $3Dmolpromise = loadScriptAsync('https://cdn.jsdelivr.net/npm/3dmol@2.5.5/build/3Dmol-min.js');\n",
       "}\n",
       "\n",
       "var viewer_17885206080863385 = null;\n",
       "var warn = document.getElementById(\"3dmolwarning_17885206080863385\");\n",
       "if(warn) {\n",
       "    warn.parentNode.removeChild(warn);\n",
       "}\n",
       "$3Dmolpromise.then(function() {\n",
       "viewer_17885206080863385 = $3Dmol.createViewer(document.getElementById(\"3dmolviewer_17885206080863385\"),{backgroundColor:\"white\"});\n",
       "viewer_17885206080863385.zoomTo();\n",
       "\tviewer_17885206080863385.addModel(\"MODEL 1\\nATOM      1  N   MET A   1      27.338  24.399   2.648  0.00  0.00\\nATOM      2  CA  MET A   1      26.307  25.426   2.784  0.00  0.00\\nATOM      3  C   MET A   1      26.943  26.607   3.466  0.00  0.00\\nATOM      4  O   MET A   1      27.910  26.430   4.207  0.00  0.00\\nATOM      5  CB  MET A   1      25.117  24.908   3.610  0.00  0.00\\nATOM      6  CG  MET A   1      25.355  24.777   5.115  0.00  0.00\\nATOM      7  SD  MET A   1      23.961  23.977   5.919  0.00  0.00\\nATOM      8  CE  MET A   1      24.467  23.996   7.634  0.00  0.00\\nATOM      9  HA  MET A   1      25.986  25.733   1.782  0.00  0.00\\nATOM     10  HB2 MET A   1      24.236  25.551   3.466  0.00  0.00\\nATOM     11  HB3 MET A   1      24.853  23.918   3.279  0.00  0.00\\nATOM     12  HG2 MET A   1      26.276  24.247   5.364  0.00  0.00\\nATOM     13  HG3 MET A   1      25.431  25.784   5.539  0.00  0.00\\nATOM     14  HE1 MET A   1      23.697  23.507   8.229  0.00  0.00\\nATOM     15  HE2 MET A   1      25.411  23.461   7.750  0.00  0.00\\nATOM     16  HE3 MET A   1      24.591  25.021   7.972  0.00  0.00\\nATOM     17  H1  MET A   1      26.953  23.580   2.227  0.00  0.00\\nATOM     18  H2  MET A   1      28.073  24.774   2.079  0.00  0.00\\nATOM     19  H3  MET A   1      27.697  24.187   3.569  0.00  0.00\\nATOM     20  N   GLN A   2      26.355  27.759   3.273  0.00  0.00\\nATOM     21  CA  GLN A   2      26.786  29.010   3.899  0.00  0.00\\nATOM     22  C   GLN A   2      26.058  29.323   5.167  0.00  0.00\\nATOM     23  O   GLN A   2      24.798  29.257   5.206  0.00  0.00\\nATOM     24  CB  GLN A   2      26.651  30.140   2.911  0.00  0.00\\nATOM     25  CG  GLN A   2      26.915  31.549   3.442  0.00  0.00\\nATOM     26  CD  GLN A   2      26.794  32.559   2.339  0.00  0.00\\nATOM     27  OE1 GLN A   2      27.778  33.137   1.892  0.00  0.00\\nATOM     28  NE2 GLN A   2      25.570  32.740   1.843  0.00  0.00\\nATOM     29  H   GLN A   2      25.556  27.810   2.647  0.00  0.00\\nATOM     30  HA  GLN A   2      27.855  28.885   4.172  0.00  0.00\\nATOM     31  HB2 GLN A   2      27.380  29.993   2.128  0.00  0.00\\nATOM     32  HB3 GLN A   2      25.662  30.098   2.441  0.00  0.00\\nATOM     33  HG2 GLN A   2      26.154  31.787   4.195  0.00  0.00\\nATOM     34  HG3 GLN A   2      27.912  31.614   3.907  0.00  0.00\\nATOM     35 HE21 GLN A   2      24.786  32.241   2.221  0.00  0.00\\nATOM     36 HE22 GLN A   2      25.428  33.378   1.078  0.00  0.00\\nATOM     37  N   ILE A   3      26.762  29.659   6.207  0.00  0.00\\nATOM     38  CA  ILE A   3      26.209  30.093   7.484  0.00  0.00\\nATOM     39  C   ILE A   3      26.842  31.417   7.849  0.00  0.00\\nATOM     40  O   ILE A   3      27.889  31.754   7.289  0.00  0.00\\nATOM     41  CB  ILE A   3      26.328  29.070   8.651  0.00  0.00\\nATOM     42  CG1 ILE A   3      27.818  28.781   9.020  0.00  0.00\\nATOM     43  CG2 ILE A   3      25.550  27.787   8.299  0.00  0.00\\nATOM     44  CD1 ILE A   3      27.987  28.078  10.368  0.00  0.00\\nATOM     45  H   ILE A   3      27.784  29.671   6.117  0.00  0.00\\nATOM     46  HA  ILE A   3      25.123  30.272   7.336  0.00  0.00\\nATOM     47  HB  ILE A   3      25.875  29.518   9.550  0.00  0.00\\nATOM     48 HG12 ILE A   3      28.236  28.125   8.253  0.00  0.00\\nATOM     49 HG13 ILE A   3      28.393  29.700   9.046  0.00  0.00\\nATOM     50 HG21 ILE A   3      25.563  27.068   9.125  0.00  0.00\\nATOM     51 HG22 ILE A   3      24.520  28.053   8.086  0.00  0.00\\nATOM     52 HG23 ILE A   3      25.985  27.316   7.417  0.00  0.00\\nATOM     53 HD11 ILE A   3      29.043  27.879  10.556  0.00  0.00\\nATOM     54 HD12 ILE A   3      27.593  28.726  11.148  0.00  0.00\\nATOM     55 HD13 ILE A   3      27.449  27.125  10.389  0.00  0.00\\nATOM     56  N   PHE A   4      26.229  32.109   8.767  0.00  0.00\\nATOM     57  CA  PHE A   4      26.773  33.387   9.212  0.00  0.00\\nATOM     58  C   PHE A   4      27.124  33.330  10.675  0.00  0.00\\nATOM     59  O   PHE A   4      26.339  32.778  11.469  0.00  0.00\\nATOM     60  CB  PHE A   4      25.746  34.477   8.955  0.00  0.00\\nATOM     61  CG  PHE A   4      25.345  34.595   7.488  0.00  0.00\\nATOM     62  CD1 PHE A   4      24.196  33.970   7.021  0.00  0.00\\nATOM     63  CD2 PHE A   4      26.126  35.299   6.615  0.00  0.00\\nATOM     64  CE1 PHE A   4      23.851  34.048   5.682  0.00  0.00\\nATOM     65  CE2 PHE A   4      25.784  35.373   5.273  0.00  0.00\\nATOM     66  CZ  PHE A   4      24.643  34.755   4.829  0.00  0.00\\nATOM     67  H   PHE A   4      25.373  31.775   9.192  0.00  0.00\\nATOM     68  HA  PHE A   4      27.692  33.596   8.645  0.00  0.00\\nATOM     69  HB2 PHE A   4      24.839  34.252   9.524  0.00  0.00\\nATOM     70  HB3 PHE A   4      26.120  35.436   9.295  0.00  0.00\\nATOM     71  HD1 PHE A   4      23.568  33.418   7.704  0.00  0.00\\nATOM     72  HD2 PHE A   4      27.021  35.796   6.961  0.00  0.00\\nATOM     73  HE1 PHE A   4      22.963  33.553   5.333  0.00  0.00\\nATOM     74  HE2 PHE A   4      26.418  35.926   4.597  0.00  0.00\\nATOM     75  HZ  PHE A   4      24.361  34.835   3.763  0.00  0.00\\nATOM     76  N   VAL A   5      28.232  33.922  11.071  0.00  0.00\\nATOM     77  CA  VAL A   5      28.585  33.998  12.479  0.00  0.00\\nATOM     78  C   VAL A   5      28.656  35.478  12.865  0.00  0.00\\nATOM     79  O   VAL A   5      29.499  36.198  12.328  0.00  0.00\\nATOM     80  CB  VAL A   5      29.941  33.312  12.793  0.00  0.00\\nATOM     81  CG1 VAL A   5      30.228  33.411  14.308  0.00  0.00\\nATOM     82  CG2 VAL A   5      29.927  31.847  12.335  0.00  0.00\\nATOM     83  H   VAL A   5      28.826  34.359  10.376  0.00  0.00\\nATOM     84  HA  VAL A   5      27.800  33.531  13.074  0.00  0.00\\nATOM     85  HB  VAL A   5      30.731  33.844  12.276  0.00  0.00\\nATOM     86 HG11 VAL A   5      31.195  32.949  14.524  0.00  0.00\\nATOM     87 HG12 VAL A   5      30.256  34.452  14.623  0.00  0.00\\nATOM     88 HG13 VAL A   5      29.448  32.883  14.853  0.00  0.00\\nATOM     89 HG21 VAL A   5      30.893  31.390  12.562  0.00  0.00\\nATOM     90 HG22 VAL A   5      29.138  31.301  12.851  0.00  0.00\\nATOM     91 HG23 VAL A   5      29.750  31.791  11.258  0.00  0.00\\nATOM     92  N   LYS A   6      27.769  35.883  13.739  0.00  0.00\\nATOM     93  CA  LYS A   6      27.690  37.291  14.156  0.00  0.00\\nATOM     94  C   LYS A   6      28.469  37.463  15.446  0.00  0.00\\nATOM     95  O   LYS A   6      28.246  36.743  16.427  0.00  0.00\\nATOM     96  CB  LYS A   6      26.214  37.664  14.307  0.00  0.00\\nATOM     97  CG  LYS A   6      25.883  39.133  14.595  0.00  0.00\\nATOM     98  CD  LYS A   6      24.354  39.282  14.645  0.00  0.00\\nATOM     99  CE  LYS A   6      23.871  40.708  14.775  0.00  0.00\\nATOM    100  NZ  LYS A   6      22.383  40.746  14.908  0.00  0.00\\nATOM    101  H   LYS A   6      27.107  35.222  14.111  0.00  0.00\\nATOM    102  HA  LYS A   6      28.140  37.908  13.384  0.00  0.00\\nATOM    103  HB2 LYS A   6      25.684  37.389  13.396  0.00  0.00\\nATOM    104  HB3 LYS A   6      25.777  37.079  15.119  0.00  0.00\\nATOM    105  HG2 LYS A   6      26.311  39.423  15.561  0.00  0.00\\nATOM    106  HG3 LYS A   6      26.309  39.780  13.819  0.00  0.00\\nATOM    107  HD2 LYS A   6      23.927  38.858  13.732  0.00  0.00\\nATOM    108  HD3 LYS A   6      23.976  38.713  15.491  0.00  0.00\\nATOM    109  HE2 LYS A   6      24.325  41.179  15.643  0.00  0.00\\nATOM    110  HE3 LYS A   6      24.153  41.262  13.881  0.00  0.00\\nATOM    111  HZ1 LYS A   6      22.067  41.705  14.980  0.00  0.00\\nATOM    112  HZ2 LYS A   6      21.959  40.316  14.097  0.00  0.00\\nATOM    113  HZ3 LYS A   6      22.109  40.240  15.738  0.00  0.00\\nATOM    114  N   THR A   7      29.412  38.398  15.454  0.00  0.00\\nATOM    115  CA  THR A   7      30.224  38.624  16.643  0.00  0.00\\nATOM    116  C   THR A   7      29.644  39.793  17.418  0.00  0.00\\nATOM    117  O   THR A   7      28.808  40.518  16.871  0.00  0.00\\nATOM    118  CB  THR A   7      31.696  38.928  16.266  0.00  0.00\\nATOM    119  OG1 THR A   7      31.744  40.222  15.658  0.00  0.00\\nATOM    120  CG2 THR A   7      32.213  37.949  15.212  0.00  0.00\\nATOM    121  H   THR A   7      29.579  38.962  14.633  0.00  0.00\\nATOM    122  HA  THR A   7      30.186  37.729  17.270  0.00  0.00\\nATOM    123  HB  THR A   7      32.298  38.896  17.184  0.00  0.00\\nATOM    124  HG1 THR A   7      31.006  40.773  15.960  0.00  0.00\\nATOM    125 HG21 THR A   7      33.235  38.213  14.965  0.00  0.00\\nATOM    126 HG22 THR A   7      32.180  36.916  15.563  0.00  0.00\\nATOM    127 HG23 THR A   7      31.592  38.025  14.306  0.00  0.00\\nATOM    128  N   LEU A   8      30.113  40.016  18.640  0.00  0.00\\nATOM    129  CA  LEU A   8      29.616  41.167  19.424  0.00  0.00\\nATOM    130  C   LEU A   8      30.211  42.521  19.035  0.00  0.00\\nATOM    131  CB  LEU A   8      29.838  40.936  20.923  0.00  0.00\\nATOM    132  CG  LEU A   8      29.127  39.707  21.588  0.00  0.00\\nATOM    133  CD1 LEU A   8      29.356  39.733  23.092  0.00  0.00\\nATOM    134  CD2 LEU A   8      27.649  39.696  21.250  0.00  0.00\\nATOM    135  H   LEU A   8      30.804  39.396  19.033  0.00  0.00\\nATOM    136  HA  LEU A   8      28.555  41.258  19.235  0.00  0.00\\nATOM    137  HB2 LEU A   8      30.904  40.775  21.069  0.00  0.00\\nATOM    138  HB3 LEU A   8      29.577  41.862  21.472  0.00  0.00\\nATOM    139  HG  LEU A   8      29.577  38.786  21.209  0.00  0.00\\nATOM    140 HD11 LEU A   8      28.891  38.857  23.548  0.00  0.00\\nATOM    141 HD12 LEU A   8      30.434  39.713  23.312  0.00  0.00\\nATOM    142 HD13 LEU A   8      28.922  40.635  23.499  0.00  0.00\\nATOM    143 HD21 LEU A   8      27.177  38.839  21.715  0.00  0.00\\nATOM    144 HD22 LEU A   8      27.194  40.611  21.611  0.00  0.00\\nATOM    145 HD23 LEU A   8      27.512  39.632  20.162  0.00  0.00\\nATOM    146  O   LEU A   8      29.683  43.549  19.462  0.00  0.00\\nATOM    147  OXT LEU A   8      31.039  42.604  18.133  0.00  0.00\\nTER\\nENDMDL\\n\",\"pdb\");\n",
       "\tviewer_17885206080863385.setBackgroundColor(\"white\");\n",
       "\tviewer_17885206080863385.setStyle({},{\"cartoon\": {\"color\": \"spectrum\"}});\n",
       "\tviewer_17885206080863385.addStyle({\"not\": {\"hetflag\": true}},{\"stick\": {\"radius\": 0.08, \"opacity\": 0.55}});\n",
       "\tviewer_17885206080863385.setStyle({\"hetflag\": true},{\"stick\": {\"colorscheme\": \"orangeCarbon\", \"radius\": 0.22}});\n",
       "\tviewer_17885206080863385.setHoverable({},true,\"function(atom,viewer) {\\n        if(!atom.label) {\\n            atom.label = viewer.addLabel(\\n                atom.chain + ':' + atom.resn + '(' + atom.resi + '):' +\\n                atom.atom + '(idx' + atom.serial + ')',\\n                {position: atom, backgroundColor:\\\"white\\\", fontColor:\\\"black\\\"}\\n            );\\n        }\\n    }\",\"function(atom,viewer) {\\n        if(atom.label) {\\n            viewer.removeLabel(atom.label);\\n            delete atom.label;\\n        }\\n    }\");\n",
       "\tviewer_17885206080863385.zoomTo();\n",
       "viewer_17885206080863385.render();\n",
       "});\n",
       "</script>\n",
       "</section>\n",
       "<section id=\"tmol-switch-77a2a8f1f30444c1959404e3ba074abc-panel-2\" class=\"tmol-switch-panel\"\n",
       "         style=\"position:absolute;inset:0;visibility:hidden\">\n",
       "  <div class=\"tmol-viewer-note\">objective change -16.599 score units; non-constraint 10.562; constraint 0.264; main-chain raw/aligned 0.052/0.050 Å; convergence not assessed</div>\n",
       "  <div id=\"3dmolviewer_17885206080940933\"  style=\"position: relative; width: 720px; height: 420px;\">\n",
       "        <p id=\"3dmolwarning_17885206080940933\" style=\"background-color:#ffcccc;color:black\">3Dmol.js failed to load for some reason.  Please check your browser console for error messages.<br></p>\n",
       "        </div>\n",
       "<script>\n",
       "\n",
       "var loadScriptAsync = function(uri){\n",
       "  return new Promise((resolve, reject) => {\n",
       "    //this is to ignore the existence of requirejs amd\n",
       "    var savedexports, savedmodule;\n",
       "    if (typeof exports !== 'undefined') savedexports = exports;\n",
       "    else exports = {}\n",
       "    if (typeof module !== 'undefined') savedmodule = module;\n",
       "    else module = {}\n",
       "\n",
       "    var tag = document.createElement('script');\n",
       "    tag.src = uri;\n",
       "    tag.async = true;\n",
       "    tag.onload = () => {\n",
       "        exports = savedexports;\n",
       "        module = savedmodule;\n",
       "        resolve();\n",
       "    };\n",
       "  var firstScriptTag = document.getElementsByTagName('script')[0];\n",
       "  firstScriptTag.parentNode.insertBefore(tag, firstScriptTag);\n",
       "});\n",
       "};\n",
       "\n",
       "if(typeof $3Dmolpromise === 'undefined') {\n",
       "$3Dmolpromise = null;\n",
       "  $3Dmolpromise = loadScriptAsync('https://cdn.jsdelivr.net/npm/3dmol@2.5.5/build/3Dmol-min.js');\n",
       "}\n",
       "\n",
       "var viewer_17885206080940933 = null;\n",
       "var warn = document.getElementById(\"3dmolwarning_17885206080940933\");\n",
       "if(warn) {\n",
       "    warn.parentNode.removeChild(warn);\n",
       "}\n",
       "$3Dmolpromise.then(function() {\n",
       "viewer_17885206080940933 = $3Dmol.createViewer(document.getElementById(\"3dmolviewer_17885206080940933\"),{backgroundColor:\"white\"});\n",
       "viewer_17885206080940933.zoomTo();\n",
       "\tviewer_17885206080940933.addModel(\"MODEL 1\\nATOM      1  N   MET A   1      27.338  24.402   2.648  0.00  0.00\\nATOM      2  CA  MET A   1      26.304  25.428   2.790  0.00  0.00\\nATOM      3  C   MET A   1      26.938  26.611   3.473  0.00  0.00\\nATOM      4  O   MET A   1      27.907  26.434   4.214  0.00  0.00\\nATOM      5  CB  MET A   1      25.116  24.908   3.614  0.00  0.00\\nATOM      6  CG  MET A   1      25.354  24.776   5.116  0.00  0.00\\nATOM      7  SD  MET A   1      23.961  23.976   5.919  0.00  0.00\\nATOM      8  CE  MET A   1      24.467  23.995   7.634  0.00  0.00\\nATOM      9  HA  MET A   1      25.982  25.735   1.789  0.00  0.00\\nATOM     10  HB2 MET A   1      24.235  25.550   3.468  0.00  0.00\\nATOM     11  HB3 MET A   1      24.854  23.918   3.281  0.00  0.00\\nATOM     12  HG2 MET A   1      26.276  24.247   5.365  0.00  0.00\\nATOM     13  HG3 MET A   1      25.430  25.783   5.539  0.00  0.00\\nATOM     14  HE1 MET A   1      23.697  23.507   8.229  0.00  0.00\\nATOM     15  HE2 MET A   1      25.411  23.461   7.750  0.00  0.00\\nATOM     16  HE3 MET A   1      24.591  25.021   7.972  0.00  0.00\\nATOM     17  H1  MET A   1      26.953  23.582   2.227  0.00  0.00\\nATOM     18  H2  MET A   1      28.071  24.778   2.078  0.00  0.00\\nATOM     19  H3  MET A   1      27.700  24.187   3.567  0.00  0.00\\nATOM     20  N   GLN A   2      26.355  27.763   3.274  0.00  0.00\\nATOM     21  CA  GLN A   2      26.789  29.012   3.899  0.00  0.00\\nATOM     22  C   GLN A   2      26.065  29.322   5.169  0.00  0.00\\nATOM     23  O   GLN A   2      24.805  29.258   5.207  0.00  0.00\\nATOM     24  CB  GLN A   2      26.651  30.142   2.910  0.00  0.00\\nATOM     25  CG  GLN A   2      26.916  31.550   3.440  0.00  0.00\\nATOM     26  CD  GLN A   2      26.794  32.560   2.338  0.00  0.00\\nATOM     27  OE1 GLN A   2      27.778  33.138   1.891  0.00  0.00\\nATOM     28  NE2 GLN A   2      25.569  32.740   1.842  0.00  0.00\\nATOM     29  H   GLN A   2      25.554  27.814   2.647  0.00  0.00\\nATOM     30  HA  GLN A   2      27.859  28.887   4.168  0.00  0.00\\nATOM     31  HB2 GLN A   2      27.380  29.995   2.127  0.00  0.00\\nATOM     32  HB3 GLN A   2      25.662  30.100   2.440  0.00  0.00\\nATOM     33  HG2 GLN A   2      26.154  31.787   4.194  0.00  0.00\\nATOM     34  HG3 GLN A   2      27.912  31.615   3.906  0.00  0.00\\nATOM     35 HE21 GLN A   2      24.786  32.241   2.221  0.00  0.00\\nATOM     36 HE22 GLN A   2      25.428  33.377   1.078  0.00  0.00\\nATOM     37  N   ILE A   3      26.771  29.660   6.208  0.00  0.00\\nATOM     38  CA  ILE A   3      26.216  30.093   7.485  0.00  0.00\\nATOM     39  C   ILE A   3      26.846  31.419   7.853  0.00  0.00\\nATOM     40  O   ILE A   3      27.893  31.759   7.292  0.00  0.00\\nATOM     41  CB  ILE A   3      26.330  29.070   8.652  0.00  0.00\\nATOM     42  CG1 ILE A   3      27.818  28.780   9.020  0.00  0.00\\nATOM     43  CG2 ILE A   3      25.550  27.787   8.299  0.00  0.00\\nATOM     44  CD1 ILE A   3      27.987  28.078  10.368  0.00  0.00\\nATOM     45  H   ILE A   3      27.792  29.676   6.115  0.00  0.00\\nATOM     46  HA  ILE A   3      25.129  30.272   7.335  0.00  0.00\\nATOM     47  HB  ILE A   3      25.877  29.518   9.549  0.00  0.00\\nATOM     48 HG12 ILE A   3      28.236  28.124   8.253  0.00  0.00\\nATOM     49 HG13 ILE A   3      28.393  29.700   9.046  0.00  0.00\\nATOM     50 HG21 ILE A   3      25.562  27.068   9.125  0.00  0.00\\nATOM     51 HG22 ILE A   3      24.520  28.054   8.086  0.00  0.00\\nATOM     52 HG23 ILE A   3      25.985  27.316   7.417  0.00  0.00\\nATOM     53 HD11 ILE A   3      29.043  27.879  10.557  0.00  0.00\\nATOM     54 HD12 ILE A   3      27.593  28.726  11.148  0.00  0.00\\nATOM     55 HD13 ILE A   3      27.449  27.126  10.389  0.00  0.00\\nATOM     56  N   PHE A   4      26.230  32.112   8.769  0.00  0.00\\nATOM     57  CA  PHE A   4      26.773  33.392   9.213  0.00  0.00\\nATOM     58  C   PHE A   4      27.126  33.336  10.676  0.00  0.00\\nATOM     59  O   PHE A   4      26.342  32.783  11.470  0.00  0.00\\nATOM     60  CB  PHE A   4      25.745  34.479   8.955  0.00  0.00\\nATOM     61  CG  PHE A   4      25.345  34.596   7.489  0.00  0.00\\nATOM     62  CD1 PHE A   4      24.196  33.970   7.022  0.00  0.00\\nATOM     63  CD2 PHE A   4      26.126  35.300   6.615  0.00  0.00\\nATOM     64  CE1 PHE A   4      23.851  34.048   5.682  0.00  0.00\\nATOM     65  CE2 PHE A   4      25.785  35.372   5.273  0.00  0.00\\nATOM     66  CZ  PHE A   4      24.643  34.755   4.828  0.00  0.00\\nATOM     67  H   PHE A   4      25.373  31.776   9.194  0.00  0.00\\nATOM     68  HA  PHE A   4      27.691  33.600   8.645  0.00  0.00\\nATOM     69  HB2 PHE A   4      24.839  34.253   9.524  0.00  0.00\\nATOM     70  HB3 PHE A   4      26.118  35.438   9.295  0.00  0.00\\nATOM     71  HD1 PHE A   4      23.567  33.418   7.705  0.00  0.00\\nATOM     72  HD2 PHE A   4      27.021  35.796   6.961  0.00  0.00\\nATOM     73  HE1 PHE A   4      22.963  33.553   5.333  0.00  0.00\\nATOM     74  HE2 PHE A   4      26.418  35.927   4.597  0.00  0.00\\nATOM     75  HZ  PHE A   4      24.361  34.834   3.763  0.00  0.00\\nATOM     76  N   VAL A   5      28.235  33.927  11.073  0.00  0.00\\nATOM     77  CA  VAL A   5      28.587  33.999  12.482  0.00  0.00\\nATOM     78  C   VAL A   5      28.655  35.479  12.870  0.00  0.00\\nATOM     79  O   VAL A   5      29.497  36.200  12.333  0.00  0.00\\nATOM     80  CB  VAL A   5      29.942  33.313  12.795  0.00  0.00\\nATOM     81  CG1 VAL A   5      30.228  33.410  14.308  0.00  0.00\\nATOM     82  CG2 VAL A   5      29.927  31.848  12.335  0.00  0.00\\nATOM     83  H   VAL A   5      28.829  34.365  10.380  0.00  0.00\\nATOM     84  HA  VAL A   5      27.802  33.531  13.076  0.00  0.00\\nATOM     85  HB  VAL A   5      30.732  33.845  12.277  0.00  0.00\\nATOM     86 HG11 VAL A   5      31.195  32.948  14.525  0.00  0.00\\nATOM     87 HG12 VAL A   5      30.256  34.451  14.624  0.00  0.00\\nATOM     88 HG13 VAL A   5      29.448  32.882  14.853  0.00  0.00\\nATOM     89 HG21 VAL A   5      30.893  31.390  12.561  0.00  0.00\\nATOM     90 HG22 VAL A   5      29.139  31.302  12.851  0.00  0.00\\nATOM     91 HG23 VAL A   5      29.750  31.792  11.258  0.00  0.00\\nATOM     92  N   LYS A   6      27.767  35.883  13.742  0.00  0.00\\nATOM     93  CA  LYS A   6      27.689  37.292  14.156  0.00  0.00\\nATOM     94  C   LYS A   6      28.469  37.466  15.444  0.00  0.00\\nATOM     95  O   LYS A   6      28.246  36.745  16.426  0.00  0.00\\nATOM     96  CB  LYS A   6      26.213  37.666  14.307  0.00  0.00\\nATOM     97  CG  LYS A   6      25.882  39.134  14.595  0.00  0.00\\nATOM     98  CD  LYS A   6      24.354  39.283  14.645  0.00  0.00\\nATOM     99  CE  LYS A   6      23.871  40.709  14.775  0.00  0.00\\nATOM    100  NZ  LYS A   6      22.383  40.745  14.908  0.00  0.00\\nATOM    101  H   LYS A   6      27.104  35.222  14.113  0.00  0.00\\nATOM    102  HA  LYS A   6      28.140  37.909  13.382  0.00  0.00\\nATOM    103  HB2 LYS A   6      25.683  37.390  13.396  0.00  0.00\\nATOM    104  HB3 LYS A   6      25.777  37.080  15.119  0.00  0.00\\nATOM    105  HG2 LYS A   6      26.311  39.423  15.561  0.00  0.00\\nATOM    106  HG3 LYS A   6      26.309  39.781  13.819  0.00  0.00\\nATOM    107  HD2 LYS A   6      23.927  38.858  13.732  0.00  0.00\\nATOM    108  HD3 LYS A   6      23.976  38.714  15.491  0.00  0.00\\nATOM    109  HE2 LYS A   6      24.325  41.179  15.642  0.00  0.00\\nATOM    110  HE3 LYS A   6      24.153  41.262  13.880  0.00  0.00\\nATOM    111  HZ1 LYS A   6      22.067  41.705  14.980  0.00  0.00\\nATOM    112  HZ2 LYS A   6      21.959  40.315  14.097  0.00  0.00\\nATOM    113  HZ3 LYS A   6      22.109  40.240  15.738  0.00  0.00\\nATOM    114  N   THR A   7      29.412  38.403  15.454  0.00  0.00\\nATOM    115  CA  THR A   7      30.223  38.628  16.645  0.00  0.00\\nATOM    116  C   THR A   7      29.646  39.799  17.420  0.00  0.00\\nATOM    117  O   THR A   7      28.808  40.522  16.874  0.00  0.00\\nATOM    118  CB  THR A   7      31.696  38.930  16.267  0.00  0.00\\nATOM    119  OG1 THR A   7      31.746  40.223  15.660  0.00  0.00\\nATOM    120  CG2 THR A   7      32.213  37.949  15.212  0.00  0.00\\nATOM    121  H   THR A   7      29.579  38.966  14.632  0.00  0.00\\nATOM    122  HA  THR A   7      30.185  37.733  17.271  0.00  0.00\\nATOM    123  HB  THR A   7      32.298  38.896  17.185  0.00  0.00\\nATOM    124  HG1 THR A   7      31.005  40.772  15.958  0.00  0.00\\nATOM    125 HG21 THR A   7      33.236  38.213  14.966  0.00  0.00\\nATOM    126 HG22 THR A   7      32.179  36.916  15.562  0.00  0.00\\nATOM    127 HG23 THR A   7      31.592  38.026  14.306  0.00  0.00\\nATOM    128  N   LEU A   8      30.113  40.022  18.642  0.00  0.00\\nATOM    129  CA  LEU A   8      29.611  41.170  19.424  0.00  0.00\\nATOM    130  C   LEU A   8      30.189  42.524  19.021  0.00  0.00\\nATOM    131  CB  LEU A   8      29.838  40.939  20.923  0.00  0.00\\nATOM    132  CG  LEU A   8      29.128  39.708  21.589  0.00  0.00\\nATOM    133  CD1 LEU A   8      29.357  39.733  23.092  0.00  0.00\\nATOM    134  CD2 LEU A   8      27.650  39.696  21.250  0.00  0.00\\nATOM    135  H   LEU A   8      30.805  39.402  19.035  0.00  0.00\\nATOM    136  HA  LEU A   8      28.549  41.253  19.239  0.00  0.00\\nATOM    137  HB2 LEU A   8      30.904  40.776  21.068  0.00  0.00\\nATOM    138  HB3 LEU A   8      29.579  41.864  21.475  0.00  0.00\\nATOM    139  HG  LEU A   8      29.577  38.787  21.209  0.00  0.00\\nATOM    140 HD11 LEU A   8      28.890  38.857  23.548  0.00  0.00\\nATOM    141 HD12 LEU A   8      30.433  39.713  23.313  0.00  0.00\\nATOM    142 HD13 LEU A   8      28.921  40.635  23.499  0.00  0.00\\nATOM    143 HD21 LEU A   8      27.177  38.839  21.714  0.00  0.00\\nATOM    144 HD22 LEU A   8      27.195  40.611  21.611  0.00  0.00\\nATOM    145 HD23 LEU A   8      27.512  39.632  20.163  0.00  0.00\\nATOM    146  O   LEU A   8      29.676  43.553  19.463  0.00  0.00\\nATOM    147  OXT LEU A   8      31.037  42.607  18.136  0.00  0.00\\nTER\\nENDMDL\\n\",\"pdb\");\n",
       "\tviewer_17885206080940933.setBackgroundColor(\"white\");\n",
       "\tviewer_17885206080940933.setStyle({},{\"cartoon\": {\"color\": \"spectrum\"}});\n",
       "\tviewer_17885206080940933.addStyle({\"not\": {\"hetflag\": true}},{\"stick\": {\"radius\": 0.08, \"opacity\": 0.55}});\n",
       "\tviewer_17885206080940933.setStyle({\"hetflag\": true},{\"stick\": {\"colorscheme\": \"orangeCarbon\", \"radius\": 0.22}});\n",
       "\tviewer_17885206080940933.setHoverable({},true,\"function(atom,viewer) {\\n        if(!atom.label) {\\n            atom.label = viewer.addLabel(\\n                atom.chain + ':' + atom.resn + '(' + atom.resi + '):' +\\n                atom.atom + '(idx' + atom.serial + ')',\\n                {position: atom, backgroundColor:\\\"white\\\", fontColor:\\\"black\\\"}\\n            );\\n        }\\n    }\",\"function(atom,viewer) {\\n        if(atom.label) {\\n            viewer.removeLabel(atom.label);\\n            delete atom.label;\\n        }\\n    }\");\n",
       "\tviewer_17885206080940933.zoomTo();\n",
       "viewer_17885206080940933.render();\n",
       "});\n",
       "</script>\n",
       "</section>\n",
       "<section id=\"tmol-switch-77a2a8f1f30444c1959404e3ba074abc-panel-3\" class=\"tmol-switch-panel\"\n",
       "         style=\"position:absolute;inset:0;visibility:hidden\">\n",
       "  <div class=\"tmol-viewer-note\">objective change -12.215 score units; non-constraint 15.211; constraint 0.000; main-chain raw/aligned 3.921/0.902 Å; convergence not assessed</div>\n",
       "  <div id=\"3dmolviewer_17885206081017747\"  style=\"position: relative; width: 720px; height: 420px;\">\n",
       "        <p id=\"3dmolwarning_17885206081017747\" style=\"background-color:#ffcccc;color:black\">3Dmol.js failed to load for some reason.  Please check your browser console for error messages.<br></p>\n",
       "        </div>\n",
       "<script>\n",
       "\n",
       "var loadScriptAsync = function(uri){\n",
       "  return new Promise((resolve, reject) => {\n",
       "    //this is to ignore the existence of requirejs amd\n",
       "    var savedexports, savedmodule;\n",
       "    if (typeof exports !== 'undefined') savedexports = exports;\n",
       "    else exports = {}\n",
       "    if (typeof module !== 'undefined') savedmodule = module;\n",
       "    else module = {}\n",
       "\n",
       "    var tag = document.createElement('script');\n",
       "    tag.src = uri;\n",
       "    tag.async = true;\n",
       "    tag.onload = () => {\n",
       "        exports = savedexports;\n",
       "        module = savedmodule;\n",
       "        resolve();\n",
       "    };\n",
       "  var firstScriptTag = document.getElementsByTagName('script')[0];\n",
       "  firstScriptTag.parentNode.insertBefore(tag, firstScriptTag);\n",
       "});\n",
       "};\n",
       "\n",
       "if(typeof $3Dmolpromise === 'undefined') {\n",
       "$3Dmolpromise = null;\n",
       "  $3Dmolpromise = loadScriptAsync('https://cdn.jsdelivr.net/npm/3dmol@2.5.5/build/3Dmol-min.js');\n",
       "}\n",
       "\n",
       "var viewer_17885206081017747 = null;\n",
       "var warn = document.getElementById(\"3dmolwarning_17885206081017747\");\n",
       "if(warn) {\n",
       "    warn.parentNode.removeChild(warn);\n",
       "}\n",
       "$3Dmolpromise.then(function() {\n",
       "viewer_17885206081017747 = $3Dmol.createViewer(document.getElementById(\"3dmolviewer_17885206081017747\"),{backgroundColor:\"white\"});\n",
       "viewer_17885206081017747.zoomTo();\n",
       "\tviewer_17885206081017747.addModel(\"MODEL 1\\nATOM      1  N   MET A   1      27.340  24.430   2.614  0.00  0.00\\nATOM      2  CA  MET A   1      26.266  25.413   2.842  0.00  0.00\\nATOM      3  C   MET A   1      26.913  26.639   3.531  0.00  0.00\\nATOM      4  O   MET A   1      28.122  26.622   3.758  0.00  0.00\\nATOM      5  CB  MET A   1      25.112  24.880   3.649  0.00  0.00\\nATOM      6  CG  MET A   1      25.469  24.496   5.059  0.00  0.00\\nATOM      7  SD  MET A   1      23.936  23.813   5.842  0.00  0.00\\nATOM      8  CE  MET A   1      24.554  23.492   7.493  0.00  0.00\\nATOM      9  HA  MET A   1      25.864  25.717   1.875  0.00  0.00\\nATOM     10  HB2 MET A   1      24.324  25.630   3.695  0.00  0.00\\nATOM     11  HB3 MET A   1      24.698  24.000   3.155  0.00  0.00\\nATOM     12  HG2 MET A   1      26.268  23.756   5.043  0.00  0.00\\nATOM     13  HG3 MET A   1      25.828  25.374   5.596  0.00  0.00\\nATOM     14  HE1 MET A   1      23.755  23.074   8.106  0.00  0.00\\nATOM     15  HE2 MET A   1      25.382  22.783   7.441  0.00  0.00\\nATOM     16  HE3 MET A   1      24.903  24.424   7.939  0.00  0.00\\nATOM     17  H1  MET A   1      26.961  23.619   2.168  0.00  0.00\\nATOM     18  H2  MET A   1      28.043  24.834   2.029  0.00  0.00\\nATOM     19  H3  MET A   1      27.746  24.169   3.490  0.00  0.00\\nATOM     20  N   GLN A   2      26.078  27.593   3.814  0.00  0.00\\nATOM     21  CA  GLN A   2      26.593  28.839   4.464  0.00  0.00\\nATOM     22  C   GLN A   2      26.555  28.658   5.975  0.00  0.00\\nATOM     23  O   GLN A   2      25.520  28.282   6.592  0.00  0.00\\nATOM     24  CB  GLN A   2      25.790  30.009   3.958  0.00  0.00\\nATOM     25  CG  GLN A   2      26.148  31.372   4.452  0.00  0.00\\nATOM     26  CD  GLN A   2      25.307  32.451   3.768  0.00  0.00\\nATOM     27  OE1 GLN A   2      25.796  33.188   2.914  0.00  0.00\\nATOM     28  NE2 GLN A   2      24.060  32.512   4.199  0.00  0.00\\nATOM     29  H   GLN A   2      25.092  27.518   3.607  0.00  0.00\\nATOM     30  HA  GLN A   2      27.640  28.966   4.188  0.00  0.00\\nATOM     31  HB2 GLN A   2      25.862  30.056   2.871  0.00  0.00\\nATOM     32  HB3 GLN A   2      24.740  29.865   4.210  0.00  0.00\\nATOM     33  HG2 GLN A   2      25.969  31.416   5.527  0.00  0.00\\nATOM     34  HG3 GLN A   2      27.200  31.560   4.240  0.00  0.00\\nATOM     35 HE21 GLN A   2      23.746  31.885   4.912  0.00  0.00\\nATOM     36 HE22 GLN A   2      23.430  33.187   3.812  0.00  0.00\\nATOM     37  N   ILE A   3      27.707  28.866   6.595  0.00  0.00\\nATOM     38  CA  ILE A   3      27.848  28.593   8.038  0.00  0.00\\nATOM     39  C   ILE A   3      28.338  29.930   8.673  0.00  0.00\\nATOM     40  O   ILE A   3      28.826  30.739   7.902  0.00  0.00\\nATOM     41  CB  ILE A   3      28.751  27.416   8.418  0.00  0.00\\nATOM     42  CG1 ILE A   3      30.210  27.659   7.997  0.00  0.00\\nATOM     43  CG2 ILE A   3      28.127  26.085   7.842  0.00  0.00\\nATOM     44  CD1 ILE A   3      31.206  26.625   8.640  0.00  0.00\\nATOM     45  H   ILE A   3      28.502  29.214   6.080  0.00  0.00\\nATOM     46  HA  ILE A   3      26.865  28.357   8.443  0.00  0.00\\nATOM     47  HB  ILE A   3      28.823  27.348   9.503  0.00  0.00\\nATOM     48 HG12 ILE A   3      30.290  27.598   6.913  0.00  0.00\\nATOM     49 HG13 ILE A   3      30.511  28.665   8.291  0.00  0.00\\nATOM     50 HG21 ILE A   3      28.763  25.241   8.107  0.00  0.00\\nATOM     51 HG22 ILE A   3      27.134  25.937   8.264  0.00  0.00\\nATOM     52 HG23 ILE A   3      28.054  26.157   6.757  0.00  0.00\\nATOM     53 HD11 ILE A   3      32.221  26.844   8.309  0.00  0.00\\nATOM     54 HD12 ILE A   3      31.155  26.698   9.727  0.00  0.00\\nATOM     55 HD13 ILE A   3      30.934  25.617   8.330  0.00  0.00\\nATOM     56  N   PHE A   4      28.142  29.998   9.968  0.00  0.00\\nATOM     57  CA  PHE A   4      28.593  31.257  10.673  0.00  0.00\\nATOM     58  C   PHE A   4      29.377  30.871  11.897  0.00  0.00\\nATOM     59  O   PHE A   4      29.029  29.823  12.461  0.00  0.00\\nATOM     60  CB  PHE A   4      27.344  32.070  11.033  0.00  0.00\\nATOM     61  CG  PHE A   4      26.517  32.460   9.835  0.00  0.00\\nATOM     62  CD1 PHE A   4      25.533  31.608   9.352  0.00  0.00\\nATOM     63  CD2 PHE A   4      26.819  33.692   9.210  0.00  0.00\\nATOM     64  CE1 PHE A   4      24.810  31.958   8.202  0.00  0.00\\nATOM     65  CE2 PHE A   4      26.106  34.033   8.040  0.00  0.00\\nATOM     66  CZ  PHE A   4      25.083  33.173   7.619  0.00  0.00\\nATOM     67  H   PHE A   4      27.711  29.260  10.506  0.00  0.00\\nATOM     68  HA  PHE A   4      29.223  31.829   9.991  0.00  0.00\\nATOM     69  HB2 PHE A   4      26.716  31.492  11.710  0.00  0.00\\nATOM     70  HB3 PHE A   4      27.640  32.978  11.556  0.00  0.00\\nATOM     71  HD1 PHE A   4      25.334  30.672   9.876  0.00  0.00\\nATOM     72  HD2 PHE A   4      27.622  34.338   9.567  0.00  0.00\\nATOM     73  HE1 PHE A   4      24.060  31.276   7.801  0.00  0.00\\nATOM     74  HE2 PHE A   4      26.330  34.934   7.468  0.00  0.00\\nATOM     75  HZ  PHE A   4      24.489  33.519   6.774  0.00  0.00\\nATOM     76  N   VAL A   5      30.348  31.652  12.359  0.00  0.00\\nATOM     77  CA  VAL A   5      31.055  31.355  13.588  0.00  0.00\\nATOM     78  C   VAL A   5      31.043  32.670  14.403  0.00  0.00\\nATOM     79  O   VAL A   5      31.340  33.667  13.732  0.00  0.00\\nATOM     80  CB  VAL A   5      32.505  30.896  13.367  0.00  0.00\\nATOM     81  CG1 VAL A   5      33.143  30.629  14.712  0.00  0.00\\nATOM     82  CG2 VAL A   5      32.523  29.608  12.506  0.00  0.00\\nATOM     83  H   VAL A   5      30.598  32.478  11.835  0.00  0.00\\nATOM     84  HA  VAL A   5      30.536  30.543  14.098  0.00  0.00\\nATOM     85  HB  VAL A   5      33.052  31.686  12.853  0.00  0.00\\nATOM     86 HG11 VAL A   5      34.173  30.303  14.569  0.00  0.00\\nATOM     87 HG12 VAL A   5      33.132  31.542  15.308  0.00  0.00\\nATOM     88 HG13 VAL A   5      32.585  29.850  15.231  0.00  0.00\\nATOM     89 HG21 VAL A   5      33.553  29.287  12.352  0.00  0.00\\nATOM     90 HG22 VAL A   5      31.970  28.820  13.018  0.00  0.00\\nATOM     91 HG23 VAL A   5      32.058  29.809  11.541  0.00  0.00\\nATOM     92  N   LYS A   6      30.707  32.591  15.644  0.00  0.00\\nATOM     93  CA  LYS A   6      30.662  33.827  16.500  0.00  0.00\\nATOM     94  C   LYS A   6      32.022  34.019  17.112  0.00  0.00\\nATOM     95  O   LYS A   6      32.458  33.200  17.954  0.00  0.00\\nATOM     96  CB  LYS A   6      29.575  33.616  17.551  0.00  0.00\\nATOM     97  CG  LYS A   6      29.282  34.766  18.508  0.00  0.00\\nATOM     98  CD  LYS A   6      28.127  34.348  19.443  0.00  0.00\\nATOM     99  CE  LYS A   6      27.801  35.351  20.524  0.00  0.00\\nATOM    100  NZ  LYS A   6      26.627  34.851  21.310  0.00  0.00\\nATOM    101  H   LYS A   6      30.471  31.699  16.054  0.00  0.00\\nATOM    102  HA  LYS A   6      30.411  34.678  15.867  0.00  0.00\\nATOM    103  HB2 LYS A   6      28.631  33.386  17.056  0.00  0.00\\nATOM    104  HB3 LYS A   6      29.834  32.761  18.176  0.00  0.00\\nATOM    105  HG2 LYS A   6      30.177  34.993  19.088  0.00  0.00\\nATOM    106  HG3 LYS A   6      29.007  35.653  17.937  0.00  0.00\\nATOM    107  HD2 LYS A   6      27.220  34.196  18.856  0.00  0.00\\nATOM    108  HD3 LYS A   6      28.380  33.410  19.937  0.00  0.00\\nATOM    109  HE2 LYS A   6      28.665  35.479  21.173  0.00  0.00\\nATOM    110  HE3 LYS A   6      27.569  36.314  20.069  0.00  0.00\\nATOM    111  HZ1 LYS A   6      26.400  35.515  22.037  0.00  0.00\\nATOM    112  HZ2 LYS A   6      25.832  34.740  20.696  0.00  0.00\\nATOM    113  HZ3 LYS A   6      26.856  33.961  21.729  0.00  0.00\\nATOM    114  N   THR A   7      32.726  35.107  16.727  0.00  0.00\\nATOM    115  CA  THR A   7      34.063  35.359  17.285  0.00  0.00\\nATOM    116  C   THR A   7      34.149  36.810  17.760  0.00  0.00\\nATOM    117  O   THR A   7      33.320  37.610  17.321  0.00  0.00\\nATOM    118  CB  THR A   7      35.183  35.058  16.212  0.00  0.00\\nATOM    119  OG1 THR A   7      34.979  36.130  15.245  0.00  0.00\\nATOM    120  CG2 THR A   7      35.008  33.707  15.497  0.00  0.00\\nATOM    121  H   THR A   7      32.343  35.757  16.055  0.00  0.00\\nATOM    122  HA  THR A   7      34.213  34.695  18.137  0.00  0.00\\nATOM    123  HB  THR A   7      36.159  35.048  16.697  0.00  0.00\\nATOM    124  HG1 THR A   7      35.118  36.977  15.675  0.00  0.00\\nATOM    125 HG21 THR A   7      35.814  33.570  14.775  0.00  0.00\\nATOM    126 HG22 THR A   7      35.037  32.901  16.230  0.00  0.00\\nATOM    127 HG23 THR A   7      34.051  33.691  14.977  0.00  0.00\\nATOM    128  N   LEU A   8      35.144  37.142  18.554  0.00  0.00\\nATOM    129  CA  LEU A   8      35.293  38.526  19.057  0.00  0.00\\nATOM    130  C   LEU A   8      36.521  39.220  18.504  0.00  0.00\\nATOM    131  CB  LEU A   8      35.214  38.505  20.586  0.00  0.00\\nATOM    132  CG  LEU A   8      33.895  38.054  21.201  0.00  0.00\\nATOM    133  CD1 LEU A   8      34.008  37.898  22.709  0.00  0.00\\nATOM    134  CD2 LEU A   8      32.767  39.036  20.910  0.00  0.00\\nATOM    135  H   LEU A   8      35.821  36.444  18.828  0.00  0.00\\nATOM    136  HA  LEU A   8      34.476  39.128  18.659  0.00  0.00\\nATOM    137  HB2 LEU A   8      35.987  37.839  20.965  0.00  0.00\\nATOM    138  HB3 LEU A   8      35.413  39.510  20.959  0.00  0.00\\nATOM    139  HG  LEU A   8      33.616  37.083  20.793  0.00  0.00\\nATOM    140 HD11 LEU A   8      33.049  37.575  23.114  0.00  0.00\\nATOM    141 HD12 LEU A   8      34.769  37.153  22.942  0.00  0.00\\nATOM    142 HD13 LEU A   8      34.286  38.853  23.153  0.00  0.00\\nATOM    143 HD21 LEU A   8      31.844  38.676  21.366  0.00  0.00\\nATOM    144 HD22 LEU A   8      33.018  40.013  21.323  0.00  0.00\\nATOM    145 HD23 LEU A   8      32.629  39.122  19.832  0.00  0.00\\nATOM    146  O   LEU A   8      36.686  40.438  18.714  0.00  0.00\\nATOM    147  OXT LEU A   8      37.326  38.598  17.868  0.00  0.00\\nTER\\nENDMDL\\n\",\"pdb\");\n",
       "\tviewer_17885206081017747.setBackgroundColor(\"white\");\n",
       "\tviewer_17885206081017747.setStyle({},{\"cartoon\": {\"color\": \"spectrum\"}});\n",
       "\tviewer_17885206081017747.addStyle({\"not\": {\"hetflag\": true}},{\"stick\": {\"radius\": 0.08, \"opacity\": 0.55}});\n",
       "\tviewer_17885206081017747.setStyle({\"hetflag\": true},{\"stick\": {\"colorscheme\": \"orangeCarbon\", \"radius\": 0.22}});\n",
       "\tviewer_17885206081017747.setHoverable({},true,\"function(atom,viewer) {\\n        if(!atom.label) {\\n            atom.label = viewer.addLabel(\\n                atom.chain + ':' + atom.resn + '(' + atom.resi + '):' +\\n                atom.atom + '(idx' + atom.serial + ')',\\n                {position: atom, backgroundColor:\\\"white\\\", fontColor:\\\"black\\\"}\\n            );\\n        }\\n    }\",\"function(atom,viewer) {\\n        if(atom.label) {\\n            viewer.removeLabel(atom.label);\\n            delete atom.label;\\n        }\\n    }\");\n",
       "\tviewer_17885206081017747.zoomTo();\n",
       "viewer_17885206081017747.render();\n",
       "});\n",
       "</script>\n",
       "</section>\n",
       "<section id=\"tmol-switch-77a2a8f1f30444c1959404e3ba074abc-panel-4\" class=\"tmol-switch-panel\"\n",
       "         style=\"position:absolute;inset:0;visibility:hidden\">\n",
       "  <div class=\"tmol-viewer-note\">objective change -5.804 score units; non-constraint 20.738; constraint 0.884; main-chain raw/aligned 0.096/0.081 Å; convergence not assessed</div>\n",
       "  <div id=\"3dmolviewer_1788520608109798\"  style=\"position: relative; width: 720px; height: 420px;\">\n",
       "        <p id=\"3dmolwarning_1788520608109798\" style=\"background-color:#ffcccc;color:black\">3Dmol.js failed to load for some reason.  Please check your browser console for error messages.<br></p>\n",
       "        </div>\n",
       "<script>\n",
       "\n",
       "var loadScriptAsync = function(uri){\n",
       "  return new Promise((resolve, reject) => {\n",
       "    //this is to ignore the existence of requirejs amd\n",
       "    var savedexports, savedmodule;\n",
       "    if (typeof exports !== 'undefined') savedexports = exports;\n",
       "    else exports = {}\n",
       "    if (typeof module !== 'undefined') savedmodule = module;\n",
       "    else module = {}\n",
       "\n",
       "    var tag = document.createElement('script');\n",
       "    tag.src = uri;\n",
       "    tag.async = true;\n",
       "    tag.onload = () => {\n",
       "        exports = savedexports;\n",
       "        module = savedmodule;\n",
       "        resolve();\n",
       "    };\n",
       "  var firstScriptTag = document.getElementsByTagName('script')[0];\n",
       "  firstScriptTag.parentNode.insertBefore(tag, firstScriptTag);\n",
       "});\n",
       "};\n",
       "\n",
       "if(typeof $3Dmolpromise === 'undefined') {\n",
       "$3Dmolpromise = null;\n",
       "  $3Dmolpromise = loadScriptAsync('https://cdn.jsdelivr.net/npm/3dmol@2.5.5/build/3Dmol-min.js');\n",
       "}\n",
       "\n",
       "var viewer_1788520608109798 = null;\n",
       "var warn = document.getElementById(\"3dmolwarning_1788520608109798\");\n",
       "if(warn) {\n",
       "    warn.parentNode.removeChild(warn);\n",
       "}\n",
       "$3Dmolpromise.then(function() {\n",
       "viewer_1788520608109798 = $3Dmol.createViewer(document.getElementById(\"3dmolviewer_1788520608109798\"),{backgroundColor:\"white\"});\n",
       "viewer_1788520608109798.zoomTo();\n",
       "\tviewer_1788520608109798.addModel(\"MODEL 1\\nATOM      1  N   MET A   1      27.340  24.430   2.614  0.00  0.00\\nATOM      2  CA  MET A   1      26.266  25.413   2.842  0.00  0.00\\nATOM      3  C   MET A   1      26.913  26.639   3.531  0.00  0.00\\nATOM      4  O   MET A   1      27.911  26.468   4.230  0.00  0.00\\nATOM      5  CB  MET A   1      25.112  24.880   3.649  0.00  0.00\\nATOM      6  CG  MET A   1      25.400  24.736   5.119  0.00  0.00\\nATOM      7  SD  MET A   1      23.880  24.026   5.903  0.00  0.00\\nATOM      8  CE  MET A   1      24.399  24.018   7.619  0.00  0.00\\nATOM      9  HA  MET A   1      25.864  25.717   1.875  0.00  0.00\\nATOM     10  HB2 MET A   1      24.255  25.542   3.539  0.00  0.00\\nATOM     11  HB3 MET A   1      24.821  23.901   3.266  0.00  0.00\\nATOM     12  HG2 MET A   1      26.260  24.081   5.258  0.00  0.00\\nATOM     13  HG3 MET A   1      25.642  25.711   5.539  0.00  0.00\\nATOM     14  HE1 MET A   1      23.597  23.618   8.240  0.00  0.00\\nATOM     15  HE2 MET A   1      25.288  23.397   7.728  0.00  0.00\\nATOM     16  HE3 MET A   1      24.627  25.037   7.935  0.00  0.00\\nATOM     17  H1  MET A   1      26.961  23.619   2.168  0.00  0.00\\nATOM     18  H2  MET A   1      28.043  24.834   2.029  0.00  0.00\\nATOM     19  H3  MET A   1      27.746  24.169   3.490  0.00  0.00\\nATOM     20  N   GLN A   2      26.308  27.764   3.295  0.00  0.00\\nATOM     21  CA  GLN A   2      26.847  29.020   3.904  0.00  0.00\\nATOM     22  C   GLN A   2      26.143  29.267   5.230  0.00  0.00\\nATOM     23  O   GLN A   2      24.908  29.066   5.396  0.00  0.00\\nATOM     24  CB  GLN A   2      26.698  30.137   2.904  0.00  0.00\\nATOM     25  CG  GLN A   2      27.045  31.522   3.342  0.00  0.00\\nATOM     26  CD  GLN A   2      26.864  32.528   2.205  0.00  0.00\\nATOM     27  OE1 GLN A   2      27.835  32.992   1.610  0.00  0.00\\nATOM     28  NE2 GLN A   2      25.605  32.846   1.965  0.00  0.00\\nATOM     29  H   GLN A   2      25.484  27.814   2.712  0.00  0.00\\nATOM     30  HA  GLN A   2      27.903  28.869   4.129  0.00  0.00\\nATOM     31  HB2 GLN A   2      27.324  29.934   2.035  0.00  0.00\\nATOM     32  HB3 GLN A   2      25.665  30.182   2.560  0.00  0.00\\nATOM     33  HG2 GLN A   2      26.392  31.805   4.168  0.00  0.00\\nATOM     34  HG3 GLN A   2      28.085  31.540   3.665  0.00  0.00\\nATOM     35 HE21 GLN A   2      24.873  32.435   2.508  0.00  0.00\\nATOM     36 HE22 GLN A   2      25.383  33.497   1.238  0.00  0.00\\nATOM     37  N   ILE A   3      26.932  29.651   6.222  0.00  0.00\\nATOM     38  CA  ILE A   3      26.373  29.995   7.543  0.00  0.00\\nATOM     39  C   ILE A   3      26.962  31.393   7.899  0.00  0.00\\nATOM     40  O   ILE A   3      27.973  31.715   7.298  0.00  0.00\\nATOM     41  CB  ILE A   3      26.605  28.975   8.662  0.00  0.00\\nATOM     42  CG1 ILE A   3      28.104  28.741   8.915  0.00  0.00\\nATOM     43  CG2 ILE A   3      25.794  27.661   8.334  0.00  0.00\\nATOM     44  CD1 ILE A   3      28.380  28.004  10.276  0.00  0.00\\nATOM     45  H   ILE A   3      27.930  29.712   6.079  0.00  0.00\\nATOM     46  HA  ILE A   3      25.292  30.089   7.447  0.00  0.00\\nATOM     47  HB  ILE A   3      26.264  29.390   9.610  0.00  0.00\\nATOM     48 HG12 ILE A   3      28.522  28.149   8.102  0.00  0.00\\nATOM     49 HG13 ILE A   3      28.626  29.698   8.923  0.00  0.00\\nATOM     50 HG21 ILE A   3      25.954  26.928   9.125  0.00  0.00\\nATOM     51 HG22 ILE A   3      24.733  27.896   8.266  0.00  0.00\\nATOM     52 HG23 ILE A   3      26.136  27.250   7.384  0.00  0.00\\nATOM     53 HD11 ILE A   3      29.454  27.865  10.404  0.00  0.00\\nATOM     54 HD12 ILE A   3      27.991  28.603  11.101  0.00  0.00\\nATOM     55 HD13 ILE A   3      27.888  27.032  10.270  0.00  0.00\\nATOM     56  N   PHE A   4      26.268  32.039   8.805  0.00  0.00\\nATOM     57  CA  PHE A   4      26.764  33.408   9.214  0.00  0.00\\nATOM     58  C   PHE A   4      27.184  33.359  10.657  0.00  0.00\\nATOM     59  O   PHE A   4      26.454  32.705  11.417  0.00  0.00\\nATOM     60  CB  PHE A   4      25.625  34.409   8.989  0.00  0.00\\nATOM     61  CG  PHE A   4      25.214  34.535   7.545  0.00  0.00\\nATOM     62  CD1 PHE A   4      24.172  33.768   7.041  0.00  0.00\\nATOM     63  CD2 PHE A   4      25.959  35.421   6.732  0.00  0.00\\nATOM     64  CE1 PHE A   4      23.838  33.854   5.681  0.00  0.00\\nATOM     65  CE2 PHE A   4      25.636  35.489   5.359  0.00  0.00\\nATOM     66  CZ  PHE A   4      24.542  34.742   4.903  0.00  0.00\\nATOM     67  H   PHE A   4      25.432  31.670   9.235  0.00  0.00\\nATOM     68  HA  PHE A   4      27.617  33.669   8.586  0.00  0.00\\nATOM     69  HB2 PHE A   4      24.755  34.106   9.569  0.00  0.00\\nATOM     70  HB3 PHE A   4      25.930  35.392   9.346  0.00  0.00\\nATOM     71  HD1 PHE A   4      23.625  33.107   7.713  0.00  0.00\\nATOM     72  HD2 PHE A   4      26.804  35.988   7.122  0.00  0.00\\nATOM     73  HE1 PHE A   4      23.043  33.229   5.275  0.00  0.00\\nATOM     74  HE2 PHE A   4      26.209  36.098   4.659  0.00  0.00\\nATOM     75  HZ  PHE A   4      24.260  34.899   3.862  0.00  0.00\\nATOM     76  N   VAL A   5      28.250  34.029  11.080  0.00  0.00\\nATOM     77  CA  VAL A   5      28.628  34.072  12.478  0.00  0.00\\nATOM     78  C   VAL A   5      28.544  35.563  12.886  0.00  0.00\\nATOM     79  O   VAL A   5      29.326  36.288  12.259  0.00  0.00\\nATOM     80  CB  VAL A   5      30.043  33.540  12.751  0.00  0.00\\nATOM     81  CG1 VAL A   5      30.325  33.639  14.233  0.00  0.00\\nATOM     82  CG2 VAL A   5      30.147  32.065  12.287  0.00  0.00\\nATOM     83  H   VAL A   5      28.814  34.524  10.403  0.00  0.00\\nATOM     84  HA  VAL A   5      27.935  33.447  13.043  0.00  0.00\\nATOM     85  HB  VAL A   5      30.762  34.147  12.200  0.00  0.00\\nATOM     86 HG11 VAL A   5      31.328  33.263  14.439  0.00  0.00\\nATOM     87 HG12 VAL A   5      30.256  34.680  14.548  0.00  0.00\\nATOM     88 HG13 VAL A   5      29.596  33.043  14.783  0.00  0.00\\nATOM     89 HG21 VAL A   5      31.152  31.692  12.482  0.00  0.00\\nATOM     90 HG22 VAL A   5      29.423  31.460  12.834  0.00  0.00\\nATOM     91 HG23 VAL A   5      29.938  32.003  11.219  0.00  0.00\\nATOM     92  N   LYS A   6      27.677  35.881  13.783  0.00  0.00\\nATOM     93  CA  LYS A   6      27.549  37.306  14.246  0.00  0.00\\nATOM     94  C   LYS A   6      28.398  37.474  15.476  0.00  0.00\\nATOM     95  O   LYS A   6      28.232  36.724  16.466  0.00  0.00\\nATOM     96  CB  LYS A   6      26.070  37.568  14.519  0.00  0.00\\nATOM     97  CG  LYS A   6      25.662  38.982  14.917  0.00  0.00\\nATOM     98  CD  LYS A   6      24.126  39.027  15.070  0.00  0.00\\nATOM     99  CE  LYS A   6      23.572  40.385  15.432  0.00  0.00\\nATOM    100  NZ  LYS A   6      22.085  40.276  15.586  0.00  0.00\\nATOM    101  H   LYS A   6      27.075  35.177  14.185  0.00  0.00\\nATOM    102  HA  LYS A   6      27.904  37.962  13.451  0.00  0.00\\nATOM    103  HB2 LYS A   6      25.487  37.324  13.630  0.00  0.00\\nATOM    104  HB3 LYS A   6      25.727  36.916  15.323  0.00  0.00\\nATOM    105  HG2 LYS A   6      26.145  39.248  15.858  0.00  0.00\\nATOM    106  HG3 LYS A   6      25.988  39.684  14.151  0.00  0.00\\nATOM    107  HD2 LYS A   6      23.658  38.724  14.132  0.00  0.00\\nATOM    108  HD3 LYS A   6      23.817  38.333  15.851  0.00  0.00\\nATOM    109  HE2 LYS A   6      24.025  40.727  16.361  0.00  0.00\\nATOM    110  HE3 LYS A   6      23.820  41.100  14.648  0.00  0.00\\nATOM    111  HZ1 LYS A   6      21.705  41.180  15.828  0.00  0.00\\nATOM    112  HZ2 LYS A   6      21.678  39.962  14.716  0.00  0.00\\nATOM    113  HZ3 LYS A   6      21.870  39.614  16.317  0.00  0.00\\nATOM    114  N   THR A   7      29.316  38.466  15.463  0.00  0.00\\nATOM    115  CA  THR A   7      30.165  38.704  16.640  0.00  0.00\\nATOM    116  C   THR A   7      29.573  39.844  17.470  0.00  0.00\\nATOM    117  O   THR A   7      28.710  40.551  16.945  0.00  0.00\\nATOM    118  CB  THR A   7      31.645  39.044  16.204  0.00  0.00\\nATOM    119  OG1 THR A   7      31.498  40.376  15.631  0.00  0.00\\nATOM    120  CG2 THR A   7      32.205  38.100  15.126  0.00  0.00\\nATOM    121  H   THR A   7      29.430  39.053  14.649  0.00  0.00\\nATOM    122  HA  THR A   7      30.182  37.795  17.243  0.00  0.00\\nATOM    123  HB  THR A   7      32.303  38.980  17.070  0.00  0.00\\nATOM    124  HG1 THR A   7      30.652  40.746  15.894  0.00  0.00\\nATOM    125 HG21 THR A   7      33.224  38.396  14.878  0.00  0.00\\nATOM    126 HG22 THR A   7      32.205  37.077  15.503  0.00  0.00\\nATOM    127 HG23 THR A   7      31.584  38.158  14.233  0.00  0.00\\nATOM    128  N   LEU A   8      30.065  40.053  18.673  0.00  0.00\\nATOM    129  CA  LEU A   8      29.553  41.146  19.529  0.00  0.00\\nATOM    130  C   LEU A   8      30.127  42.498  19.156  0.00  0.00\\nATOM    131  CB  LEU A   8      29.754  40.757  20.996  0.00  0.00\\nATOM    132  CG  LEU A   8      28.934  39.583  21.516  0.00  0.00\\nATOM    133  CD1 LEU A   8      29.190  39.336  22.994  0.00  0.00\\nATOM    134  CD2 LEU A   8      27.439  39.806  21.325  0.00  0.00\\nATOM    135  H   LEU A   8      30.804  39.460  19.021  0.00  0.00\\nATOM    136  HA  LEU A   8      28.490  41.273  19.330  0.00  0.00\\nATOM    137  HB2 LEU A   8      30.803  40.506  21.148  0.00  0.00\\nATOM    138  HB3 LEU A   8      29.514  41.617  21.621  0.00  0.00\\nATOM    139  HG  LEU A   8      29.215  38.677  20.980  0.00  0.00\\nATOM    140 HD11 LEU A   8      28.588  38.491  23.330  0.00  0.00\\nATOM    141 HD12 LEU A   8      30.246  39.112  23.148  0.00  0.00\\nATOM    142 HD13 LEU A   8      28.919  40.224  23.563  0.00  0.00\\nATOM    143 HD21 LEU A   8      26.890  38.945  21.709  0.00  0.00\\nATOM    144 HD22 LEU A   8      27.132  40.702  21.866  0.00  0.00\\nATOM    145 HD23 LEU A   8      27.222  39.931  20.264  0.00  0.00\\nATOM    146  O   LEU A   8      29.667  43.529  19.686  0.00  0.00\\nATOM    147  OXT LEU A   8      31.019  42.572  18.357  0.00  0.00\\nTER\\nENDMDL\\n\",\"pdb\");\n",
       "\tviewer_1788520608109798.setBackgroundColor(\"white\");\n",
       "\tviewer_1788520608109798.setStyle({},{\"cartoon\": {\"color\": \"spectrum\"}});\n",
       "\tviewer_1788520608109798.addStyle({\"not\": {\"hetflag\": true}},{\"stick\": {\"radius\": 0.08, \"opacity\": 0.55}});\n",
       "\tviewer_1788520608109798.setStyle({\"hetflag\": true},{\"stick\": {\"colorscheme\": \"orangeCarbon\", \"radius\": 0.22}});\n",
       "\tviewer_1788520608109798.setHoverable({},true,\"function(atom,viewer) {\\n        if(!atom.label) {\\n            atom.label = viewer.addLabel(\\n                atom.chain + ':' + atom.resn + '(' + atom.resi + '):' +\\n                atom.atom + '(idx' + atom.serial + ')',\\n                {position: atom, backgroundColor:\\\"white\\\", fontColor:\\\"black\\\"}\\n            );\\n        }\\n    }\",\"function(atom,viewer) {\\n        if(atom.label) {\\n            viewer.removeLabel(atom.label);\\n            delete atom.label;\\n        }\\n    }\");\n",
       "\tviewer_1788520608109798.zoomTo();\n",
       "viewer_1788520608109798.render();\n",
       "});\n",
       "</script>\n",
       "</section>\n",
       "  </div>\n",
       "</div>\n",
       "<script>\n",
       "(() => {\n",
       "  const root = document.getElementById(\"tmol-switch-77a2a8f1f30444c1959404e3ba074abc\");\n",
       "  const select = document.getElementById(\"tmol-switch-77a2a8f1f30444c1959404e3ba074abc-select\");\n",
       "  const panels = root.querySelectorAll('.tmol-switch-panel');\n",
       "  select.addEventListener('change', () => {\n",
       "    panels.forEach((panel, index) => {\n",
       "      panel.style.visibility = index === Number(select.value) ? 'visible' : 'hidden';\n",
       "    });\n",
       "    window.dispatchEvent(new Event('resize'));\n",
       "  });\n",
       "})();\n",
       "</script>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "variants = {\n",
    "    \"Cartesian, unconstrained\": cart_unconstrained,\n",
    "    \"Cartesian, constrained\": cart_constrained,\n",
    "    \"Kinematic, unconstrained\": kin_unconstrained,\n",
    "    \"Kinematic, constrained\": kin_constrained,\n",
    "}\n",
    "mainchain_mask, _ = declared_mainchain_atom_mask(start)\n",
    "start_components = score_components(start, score_function)\n",
    "rows = [\n",
    "    {\n",
    "        \"variant\": \"start\",\n",
    "        **start_components,\n",
    "        \"non_constraint_score_change_units\": 0.0,\n",
    "        \"constraint_score_change_units\": 0.0,\n",
    "        \"objective_change_units\": 0.0,\n",
    "        \"all_atom_raw_RMS_displacement_A\": 0.0,\n",
    "        \"all_atom_Kabsch_RMSD_A\": 0.0,\n",
    "        \"mainchain_raw_RMS_displacement_A\": 0.0,\n",
    "        \"mainchain_Kabsch_RMSD_A\": 0.0,\n",
    "        \"finite_smoke_test_output\": True,\n",
    "        \"convergence_status\": \"not assessed\",\n",
    "    }\n",
    "]\n",
    "for name, pose_stack in variants.items():\n",
    "    components = score_components(pose_stack, score_function)\n",
    "    all_atom_raw = rms_displacement(start, pose_stack)\n",
    "    all_atom_aligned = kabsch_aligned_rmsd(start, pose_stack)\n",
    "    mainchain_raw = rms_displacement(start, pose_stack, mainchain_mask)\n",
    "    mainchain_aligned = kabsch_aligned_rmsd(start, pose_stack, mainchain_mask)\n",
    "    numeric_outputs = (\n",
    "        *components.values(),\n",
    "        all_atom_raw,\n",
    "        all_atom_aligned,\n",
    "        mainchain_raw,\n",
    "        mainchain_aligned,\n",
    "    )\n",
    "    rows.append(\n",
    "        {\n",
    "            \"variant\": name,\n",
    "            **components,\n",
    "            \"non_constraint_score_change_units\": (\n",
    "                components[\"non_constraint_score_units\"]\n",
    "                - start_components[\"non_constraint_score_units\"]\n",
    "            ),\n",
    "            \"constraint_score_change_units\": (\n",
    "                components[\"constraint_score_units\"]\n",
    "                - start_components[\"constraint_score_units\"]\n",
    "            ),\n",
    "            \"objective_change_units\": (\n",
    "                components[\"reported_total_score_units\"]\n",
    "                - start_components[\"reported_total_score_units\"]\n",
    "            ),\n",
    "            \"all_atom_raw_RMS_displacement_A\": all_atom_raw,\n",
    "            \"all_atom_Kabsch_RMSD_A\": all_atom_aligned,\n",
    "            \"mainchain_raw_RMS_displacement_A\": mainchain_raw,\n",
    "            \"mainchain_Kabsch_RMSD_A\": mainchain_aligned,\n",
    "            \"finite_smoke_test_output\": bool(np.isfinite(numeric_outputs).all()),\n",
    "            \"convergence_status\": \"not assessed (10-iteration smoke test)\",\n",
    "        }\n",
    "    )\n",
    "comparison_frame = pd.DataFrame(rows)\n",
    "show_table(comparison_frame)\n",
    "\n",
    "fig, axes = plt.subplots(2, 3, figsize=(18, 8))\n",
    "axes = axes.ravel()\n",
    "axes[0].barh(\n",
    "    comparison_frame[\"variant\"], comparison_frame[\"non_constraint_score_units\"]\n",
    ")\n",
    "axes[0].set(xlabel=\"weighted score units\", title=\"Non-constraint score\")\n",
    "axes[1].barh(\n",
    "    comparison_frame[\"variant\"], comparison_frame[\"constraint_score_units\"]\n",
    ")\n",
    "axes[1].set(xlabel=\"weighted score units\", title=\"Constraint penalty\")\n",
    "axes[2].barh(\n",
    "    comparison_frame[\"variant\"],\n",
    "    comparison_frame[\"all_atom_raw_RMS_displacement_A\"],\n",
    ")\n",
    "axes[2].set(xlabel=\"raw RMS displacement (Å)\", title=\"All atoms: input frame\")\n",
    "axes[3].barh(\n",
    "    comparison_frame[\"variant\"], comparison_frame[\"all_atom_Kabsch_RMSD_A\"]\n",
    ")\n",
    "axes[3].set(xlabel=\"Kabsch RMSD (Å)\", title=\"All atoms: aligned\")\n",
    "axes[4].barh(\n",
    "    comparison_frame[\"variant\"],\n",
    "    comparison_frame[\"mainchain_raw_RMS_displacement_A\"],\n",
    ")\n",
    "axes[4].set(xlabel=\"raw RMS displacement (Å)\", title=\"Main chain: input frame\")\n",
    "axes[5].barh(\n",
    "    comparison_frame[\"variant\"], comparison_frame[\"mainchain_Kabsch_RMSD_A\"]\n",
    ")\n",
    "axes[5].set(xlabel=\"Kabsch RMSD (Å)\", title=\"Main chain: aligned\")\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "try:\n",
    "    restraint_viewer = tmol.view(\n",
    "        start,\n",
    "        highlighted=mainchain_mask[start.real_atoms],\n",
    "        highlight_color=\"#7b2cbf\",\n",
    "    )\n",
    "    restraint_viewer.show()\n",
    "except ImportError:\n",
    "    print(\"Install py3Dmol to inspect the restrained main-chain atoms.\")\n",
    "\n",
    "viewer_structures = {\"before\": start, **variants}\n",
    "viewer_notes = {\"before\": \"Starting 1UBQ slice\"}\n",
    "for row in rows[1:]:\n",
    "    viewer_notes[row[\"variant\"]] = (\n",
    "        f\"objective change {row['objective_change_units']:+.3f} score units; \"\n",
    "        f\"non-constraint {row['non_constraint_score_units']:.3f}; \"\n",
    "        f\"constraint {row['constraint_score_units']:.3f}; \"\n",
    "        f\"main-chain raw/aligned \"\n",
    "        f\"{row['mainchain_raw_RMS_displacement_A']:.3f}/\"\n",
    "        f\"{row['mainchain_Kabsch_RMSD_A']:.3f} Å; convergence not assessed\"\n",
    "    )\n",
    "display(tmol.switchable_view(viewer_structures, notes=viewer_notes))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "minimization-observations",
   "metadata": {},
   "source": [
    "**Expected observations.** Every minimized structure should have finite weighted scores, score/objective changes, raw displacements, and aligned RMSDs. Finite output—or even a lower objective—after `max_iter=10` is only a smoke-test result and must not be described as convergence. Establish convergence separately with a suitable iteration budget, stopping diagnostics, and repeatability checks. All-atom metrics include side-chain motion produced by minimization; no packing occurs in this notebook. Main-chain metrics use exactly the restrained TMol-declared N/CA/C atoms, highlighted in purple; O is excluded.\n",
    "\n",
    "Raw RMS displacement compares coordinates in the original laboratory frame. Kabsch RMSD first removes the best global translation and rotation. A large raw-versus-aligned gap in the unconstrained Cartesian result is evidence of rigid-body drift along its null modes, not the same thing as internal deformation. The kinematic root jump is fixed, so that branch has no equivalent whole-chain drift. Coordinate restraints should generally reduce main-chain motion relative to the matching unconstrained run. Those within-parameterization pairs are controlled comparisons; Cartesian and kinematic endpoints need not agree because their active degrees of freedom differ. The score columns are weighted TMol score units, not physical kcal/mol.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "rescue-intro",
   "metadata": {},
   "source": [
    "## Restraint-guided rescue of a displaced local segment\n",
    "\n",
    "The preceding comparison starts from a deposited structure. This controlled rescue experiment creates an explicit defect: all atoms in zero-based blocks 3–4 are translated by the same vector while blocks 2–6 define the movable local shell. Three short Cartesian runs then start from exactly that perturbed structure:\n",
    "\n",
    "- no restraints;\n",
    "- reference main-chain coordinate restraints copied from the unperturbed pose; or\n",
    "- one reference Cα–Cα distance restraint linking fixed-side block 1 to displaced block 4.\n",
    "\n",
    "The experiment asks how restraint information trades against the non-constraint score and recovery toward the known reference. It is a method diagnostic, not loop modeling or structure prediction.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "rescue-code",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<!--| quarto-html-table-processing: none -->\n",
       "<table id=\"itables_a31f70b7_9325_424c_af06_537d27a887a3\" hidden=\"hidden\">\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <td style=\"vertical-align:middle; text-align:left\"><a href=https://itables.org/><svg class=\"main-svg\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"\n",
       "width=\"64\" viewBox=\"0 0 500 400\" style=\"font-family: 'Droid Sans', sans-serif;\">\n",
       "    <g style=\"fill:var(--itables-logo-paper,#d9d7fc)\">\n",
       "        <path d=\"M100,400H500V357H100Z\" />\n",
       "        <path d=\"M100,300H400V257H100Z\" />\n",
       "        <path d=\"M0,200H400V157H0Z\" />\n",
       "        <path d=\"M100,100H500V57H100Z\" />\n",
       "        <path d=\"M100,350H500V307H100Z\" />\n",
       "        <path d=\"M100,250H400V207H100Z\" />\n",
       "        <path d=\"M0,150H400V107H0Z\" />\n",
       "        <path d=\"M100,50H500V7H100Z\" />\n",
       "    </g>\n",
       "    <g style=\"fill:var(--itables-logo-ink,#1a1366);stroke:var(--itables-logo-ink,#1a1366);\">\n",
       "   <rect x=\"100\" y=\"7\" width=\"400\" height=\"43\">\n",
       "    <animate\n",
       "      attributeName=\"width\"\n",
       "      values=\"0;400;0\"\n",
       "      dur=\"5s\"\n",
       "      repeatCount=\"indefinite\" />\n",
       "      <animate\n",
       "      attributeName=\"x\"\n",
       "      values=\"100;100;500\"\n",
       "      dur=\"5s\"\n",
       "      repeatCount=\"indefinite\" />\n",
       "  </rect>\n",
       "        <rect x=\"0\" y=\"107\" width=\"400\" height=\"43\">\n",
       "    <animate\n",
       "      attributeName=\"width\"\n",
       "      values=\"0;400;0\"\n",
       "      dur=\"3.5s\"\n",
       "      repeatCount=\"indefinite\" />\n",
       "    <animate\n",
       "      attributeName=\"x\"\n",
       "      values=\"0;0;400\"\n",
       "      dur=\"3.5s\"\n",
       "      repeatCount=\"indefinite\" />\n",
       "  </rect>\n",
       "        <rect x=\"100\" y=\"207\" width=\"300\" height=\"43\">\n",
       "    <animate\n",
       "      attributeName=\"width\"\n",
       "      values=\"0;300;0\"\n",
       "      dur=\"3s\"\n",
       "      repeatCount=\"indefinite\" />\n",
       "    <animate\n",
       "      attributeName=\"x\"\n",
       "      values=\"100;100;400\"\n",
       "      dur=\"3s\"\n",
       "      repeatCount=\"indefinite\" />\n",
       "  </rect>\n",
       "        <rect x=\"100\" y=\"307\" width=\"400\" height=\"43\">\n",
       "    <animate\n",
       "      attributeName=\"width\"\n",
       "      values=\"0;400;0\"\n",
       "      dur=\"4s\"\n",
       "      repeatCount=\"indefinite\" />\n",
       "      <animate\n",
       "      attributeName=\"x\"\n",
       "      values=\"100;100;500\"\n",
       "      dur=\"4s\"\n",
       "      repeatCount=\"indefinite\" />\n",
       "  </rect>\n",
       "        <g style=\"fill:transparent;stroke-width:8; stroke-linejoin:round\" rx=\"5\">\n",
       "            <g transform=\"translate(45 50) rotate(-45)\">\n",
       "                <circle r=\"33\" cx=\"0\" cy=\"0\" />\n",
       "                <rect x=\"-8\" y=\"32\" width=\"16\" height=\"30\" />\n",
       "            </g>\n",
       "\n",
       "            <g transform=\"translate(450 152)\">\n",
       "                <polyline points=\"-15,-20 -35,-20 -35,40 25,40 25,20\" />\n",
       "                <rect x=\"-15\" y=\"-40\" width=\"60\" height=\"60\" />\n",
       "            </g>\n",
       "\n",
       "            <g transform=\"translate(50 352)\">\n",
       "                <polygon points=\"-35,-5 0,-40 35,-5\" />\n",
       "                <polygon points=\"-35,10 0,45 35,10\" />\n",
       "            </g>\n",
       "\n",
       "            <g transform=\"translate(75 250)\">\n",
       "                <polyline points=\"-30,30 -60,0 -30,-30\" />\n",
       "                <polyline points=\"0,30 -30,0 0,-30\" />\n",
       "            </g>\n",
       "\n",
       "            <g transform=\"translate(425 250) rotate(180)\">\n",
       "                <polyline points=\"-30,30 -60,0 -30,-30\" />\n",
       "                <polyline points=\"0,30 -30,0 0,-30\" />\n",
       "            </g>\n",
       "        </g>\n",
       "    </g>\n",
       "</svg>\n",
       "</a>\n",
       "        Loading ITables v2.9.1 from the internet...\n",
       "        (need <a href=https://itables.org/troubleshooting.html>help</a>?)\n",
       "      </td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<div id=\"itables_a31f70b7_9325_424c_af06_537d27a887a3_fallback\"><table style=\"border-collapse:collapse\"><thead>    <tr style=\"text-align: right;\">\n",
       "      <th style=\"border:1px solid #ddd;padding:8px\"><sup><noscript><span title=\"JavaScript not allowed. Please trust this notebook to get interactive tables.\">🔒</span></noscript><a href=https://itables.org/fallbacks/static_preview.html title=\"ITables v2.9.1 static preview\">ⓘ</a></sup>state</th>\n",
       "      <th style=\"border:1px solid #ddd;padding:8px\">non_constraint_score_units</th>\n",
       "      <th style=\"border:1px solid #ddd;padding:8px\">constraint_score_units</th>\n",
       "      <th style=\"border:1px solid #ddd;padding:8px\">reported_total_score_units</th>\n",
       "      <th style=\"border:1px solid #ddd;padding:8px\">local_mainchain_RMSD_from_reference_A</th>\n",
       "      <th style=\"border:1px solid #ddd;padding:8px\">reference_distance_error_A</th>\n",
       "      <th style=\"border:1px solid #ddd;padding:8px\">movable_atoms</th>\n",
       "      <th style=\"border:1px solid #ddd;padding:8px\">optimizer_budget</th>\n",
       "    </tr></thead><tbody>\n",
       "<tr><td style=\"border:1px solid #ddd;padding:8px\">perturbed input</td><td style=\"border:1px solid #ddd;padding:8px\">104.793282</td><td style=\"border:1px solid #ddd;padding:8px\">0.000000</td><td style=\"border:1px solid #ddd;padding:8px\">104.793282</td><td style=\"border:1px solid #ddd;padding:8px\">0.681175</td><td style=\"border:1px solid #ddd;padding:8px\">0.241167</td><td style=\"border:1px solid #ddd;padding:8px\">91</td><td style=\"border:1px solid #ddd;padding:8px\">input only</td></tr>\n",
       "<tr><td style=\"border:1px solid #ddd;padding:8px\">unconstrained rescue</td><td style=\"border:1px solid #ddd;padding:8px\">30.000233</td><td style=\"border:1px solid #ddd;padding:8px\">0.000000</td><td style=\"border:1px solid #ddd;padding:8px\">30.000233</td><td style=\"border:1px solid #ddd;padding:8px\">0.565185</td><td style=\"border:1px solid #ddd;padding:8px\">0.321363</td><td style=\"border:1px solid #ddd;padding:8px\">91</td><td style=\"border:1px solid #ddd;padding:8px\">15-iteration smoke test; convergence not assessed</td></tr>\n",
       "<tr><td style=\"border:1px solid #ddd;padding:8px\">reference coordinate rescue</td><td style=\"border:1px solid #ddd;padding:8px\">33.332115</td><td style=\"border:1px solid #ddd;padding:8px\">6.520329</td><td style=\"border:1px solid #ddd;padding:8px\">39.852444</td><td style=\"border:1px solid #ddd;padding:8px\">0.329655</td><td style=\"border:1px solid #ddd;padding:8px\">0.202344</td><td style=\"border:1px solid #ddd;padding:8px\">91</td><td style=\"border:1px solid #ddd;padding:8px\">15-iteration smoke test; convergence not assessed</td></tr>\n",
       "<tr><td style=\"border:1px solid #ddd;padding:8px\">reference distance rescue</td><td style=\"border:1px solid #ddd;padding:8px\">30.032877</td><td style=\"border:1px solid #ddd;padding:8px\">0.332632</td><td style=\"border:1px solid #ddd;padding:8px\">30.365509</td><td style=\"border:1px solid #ddd;padding:8px\">0.560134</td><td style=\"border:1px solid #ddd;padding:8px\">0.288371</td><td style=\"border:1px solid #ddd;padding:8px\">91</td><td style=\"border:1px solid #ddd;padding:8px\">15-iteration smoke test; convergence not assessed</td></tr>\n",
       "</tbody></table></div><script>document.getElementById(\"itables_a31f70b7_9325_424c_af06_537d27a887a3\")?.removeAttribute(\"hidden\");document.getElementById(\"itables_a31f70b7_9325_424c_af06_537d27a887a3_fallback\")?.setAttribute(\"hidden\", \"hidden\");</script>\n",
       "<link href=\"https://www.unpkg.com/dt_for_itables@2.5.8/dt_bundle.css\" rel=\"stylesheet\">\n",
       "<script type=\"module\">\n",
       "    import { ITable, jQuery as $ } from 'https://www.unpkg.com/dt_for_itables@2.5.8/dt_bundle.js';\n",
       "\n",
       "    document.querySelectorAll(\"#itables_a31f70b7_9325_424c_af06_537d27a887a3:not(.dataTable)\").forEach(table => {\n",
       "        if (!(table instanceof HTMLTableElement))\n",
       "            return;\n",
       "\n",
       "        let dt_args = {\n",
       "          \"classes\": [\"display\", \"nowrap\", \"compact\"],\n",
       "          \"columnDefs\": [{\"render\": \"function (data, type, row, meta) { return type === 'sort' || type === 'type' ? data[1] : data[0]; }\", \"targets\": [1, 2, 3, 4, 5]}],\n",
       "          \"data_json\": \"[[\\\"perturbed input\\\", [\\\"104.793282\\\", 104.79328155517578], [\\\"0.000000\\\", 0.0], [\\\"104.793282\\\", 104.79328155517578], [\\\"0.681175\\\", 0.6811745762825012], [\\\"0.241167\\\", 0.2411670684814453], 91, \\\"input only\\\"], [\\\"unconstrained rescue\\\", [\\\"30.000233\\\", 30.000232696533203], [\\\"0.000000\\\", 0.0], [\\\"30.000233\\\", 30.000232696533203], [\\\"0.565185\\\", 0.5651851892471313], [\\\"0.321363\\\", 0.3213634490966797], 91, \\\"15-iteration smoke test; convergence not assessed\\\"], [\\\"reference coordinate rescue\\\", [\\\"33.332115\\\", 33.332115173339844], [\\\"6.520329\\\", 6.520328521728516], [\\\"39.852444\\\", 39.85244369506836], [\\\"0.329655\\\", 0.3296545743942261], [\\\"0.202344\\\", 0.20234394073486328], 91, \\\"15-iteration smoke test; convergence not assessed\\\"], [\\\"reference distance rescue\\\", [\\\"30.032877\\\", 30.03287696838379], [\\\"0.332632\\\", 0.33263152837753296], [\\\"30.365509\\\", 30.365509033203125], [\\\"0.560134\\\", 0.5601339936256409], [\\\"0.288371\\\", 0.28837108612060547], 91, \\\"15-iteration smoke test; convergence not assessed\\\"]]\",\n",
       "          \"keys_to_be_evaluated\": [[\"columnDefs\", 0, \"render\"]],\n",
       "          \"layout\": {\"bottomEnd\": null, \"bottomStart\": null, \"topEnd\": null, \"topStart\": null},\n",
       "          \"order\": [],\n",
       "          \"style\": {\"caption-side\": \"bottom\", \"margin\": \"auto\", \"table-layout\": \"auto\", \"width\": \"auto\"},\n",
       "          \"table_html\": \"<table><thead>\\n    <tr style=\\\"text-align: right;\\\">\\n      \\n      <th>state</th>\\n      <th>non_constraint_score_units</th>\\n      <th>constraint_score_units</th>\\n      <th>reported_total_score_units</th>\\n      <th>local_mainchain_RMSD_from_reference_A</th>\\n      <th>reference_distance_error_A</th>\\n      <th>movable_atoms</th>\\n      <th>optimizer_budget</th>\\n    </tr>\\n  </thead></table>\",\n",
       "          \"text_in_header_can_be_selected\": true\n",
       "        };\n",
       "        new ITable(table, dt_args);\n",
       "    });\n",
       "</script>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAArEAAAG4CAYAAABSPb94AAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjExLjEsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvctoD+AAAAAlwSFlzAAAPYQAAD2EBqD+naQAAi7RJREFUeJzs3XdUVFfXBvBnhjKAdAGlYwfEKIi9Kwh2LLGX2GNN06jJG02MvmqMsSUau9EYNdZEY4vYYtdYo9hQEUGlF0HqnO8PXu7nODOAwyBgnt9arOWce+65++4pbi5nzpUJIQSIiIiIiMoReWkHQERERET0uljEEhEREVG5wyKWiIiIiModFrFEREREVO6wiCUiIiKicodFLBERERGVOyxiiYiIiKjcYRFLREREROUOi1giIiIiKndYxNIb9fPPP0Mmk+HWrVulHQqVcyNGjICdnV1ph/HWCg4Ohr+/f2mHQW/Q9u3bIZPJcPHiRalt0aJFkMlkiIuL09txSmJM+ndiEVsOJCYmYvr06fDx8YGFhQUqV66M1q1bY+XKlXj+/Hlph0dvsdatW6Nx48alHUaJKyvnWVbiICquuXPnQiaTISkp6V95fHozWMSWcWlpaWjSpAlWr16NWbNm4dGjR7h58yZ69uyJSZMmYdGiRaUd4msZOHAghBDw9PQs7VCIiKgQH374IYQQev2rR0mMSf9OhqUdABVsx44duH37NjZu3IiQkBCpfcKECWjfvj3Onj1besERERERlRJeiS3jEhISAADOzs5q22rVqoUhQ4aotCmVSnz//ffw8/NDhQoVULlyZfTv3x/379+X+qSnp2Pq1KmoUqUKjI2N4ejoiBEjRuDZs2dSn6SkJMhkMsydOxd79+6Fr68vjI2NsX79egDAkydPMGrUKLi4uMDY2Bju7u6YOnUqMjMzCzwfTXNiv//+e8hkMjx8+BCTJk2Cg4MDbG1tMXHiROTk5CA7OxuffPIJKlWqBHNzcwwcOBBpaWkq4+aP8eDBA3z88cewt7eHubk5unTpgnv37mns+/DhQ0ydOhVOTk6QyWTIyckBAPz000/w8/ODqakprKysEBQUhHPnzkn7Dxo0CFZWVkhPT1c7v7Fjx8LMzAzJyclS2+HDhxEQEAArKyuYmpqiQYMG+O2331T2a9y4MVq3bo27d+8iICAAFSpUQI0aNbB7924AwK1bt9C+fXtUqFABrq6uWLlypcb8vs6xIiIi0LFjR+l1Mm3aNCiVSqmfh4cHjh8/jnPnzkEmk0Emk8Ha2lrjcfO99957Ul+5XA47Ozt07doV165d0ymGfAsWLEDVqlVhamqKRo0a4fTp0wXG8bIzZ84gKCgI9vb2sLCwQIMGDbBu3TrpOIWdZ36s4eHh6NChAywsLNC3b18AgIuLCwYOHKgxD5UrV1ZrDw0NRVBQEGxsbGBpaYlWrVrh8OHDRYrjdY5VUMxFfY6KqqBjZWdnY86cOfD29oaJiQlsbW3Rp08fPHz4UGWM7OxszJs3D3Xq1IGpqSlcXFwwfPhwREVFSX2SkpLwwQcfwM3NDcbGxnB1dcWECROkPxenpaXB0tIS7733nlqMWVlZsLe3R58+fVSOWVhs9+7dg0wmw+rVq7F582bUrl0bRkZG2L59O6ytrTU+HxkZGbCzs0Pv3r0LzJuhoaH0PBgbG6Nq1aqYPHmyymebtuPv3bsXAPDgwQMMHjwYlStXhrGxMapVq4avv/4aubm5BR4byHstNmzYECYmJqhSpQp+/PFHjf00zV99+vQpRowYAVdXV5iamsLT0xNTp06Vnov3338f06ZNAwDY2NhI55l/0UXTmF9++SVkMhlSUlLw4Ycfws7ODubm5ujRo4fK/035Hjx4gKFDh8LZ2RkmJiaoU6cOli5dipycnEKPT28RQWXa+fPnhUwmEx06dBBxcXGF9u/bt68wMzMTP/zwg4iOjhYxMTFi8+bN4uOPPxZCCJGbmytat24tbG1txa5du0RycrI4deqUqFGjhqhatapITEwUQgiRmJgoAIiuXbuKgQMHivDwcHH79m0RGhoqoqKihLOzs/D39xdnz54Vqamp4vjx48LDw0N06tSpwPg2btwoAIiwsDCpbenSpQKAGDhwoPj5559FUlKSOHTokKhQoYKYMWOGGDdunPjpp59EUlKSCA0NFebm5uLDDz9UGTd/jD59+ojVq1eLxMREceXKFeHn5ycqV64snj17pta3X79+YtWqVSI+Pl6sWbNG5OTkiNmzZwuZTCa+/vprERMTI8LDw0X37t2FsbGxOHHihBBCiGPHjgkAYv369SoxvHjxQlhbW4tBgwZJbRs2bBAymUx89NFHIiIiQiQkJIjvvvtOGBgYiF9++UXq16hRI1G/fn0REhIiLl++LBITE8WkSZOEkZGR+Ouvv0RwcLD4+++/RWJiopg6daoAIC5evKhy/Nc5lr+/v+jevbs4f/68SE5OFitXrhQAxPLly1XGbNWqlWjUqFGBz6k2WVlZ4saNG6Jr166iUqVKIjY2VqcYpk+fLgwMDMSiRYtEfHy8uHnzpujYsaMICAgQFStWLDCGJ0+eCAsLCzFs2DDx+PFjkZ6eLi5duiSGDx8uLl26VKTzzH9ugoODxdmzZ0VMTIyUT2dnZzFgwAC1fYYMGSIqVaqk0rZ27Vohk8nE6NGjxe3bt0VKSoo4ceKE6NKlS5HieJ1jFRTzywp6joKCgkT9+vU1xlKUY+Xm5opOnToJOzs7sWXLFpGYmCju3r0rOnToIBwdHaX3ZE5OjggKChLW1tZi/fr1IiYmRkRHR4t169aJGTNmCCGEyMjIEL6+vsLR0VEcPHhQJCcni8OHDwtnZ2fxzjvviPT0dCGEECNGjBBmZmYiOTlZJcZt27YJAOLgwYNCCFHk2O7evSsAiJCQEDFmzBgREREhLl++LE6fPi0++OADoVAoRExMjMqx1q9fLwCIAwcOFJq7fCkpKWLfvn3C0dFRDBkyRGov6Pi3b98Wtra2onXr1uLy5csiNTVV7N+/X1SqVEllDE1OnDghDA0NxYABA8SDBw/EkydPxKRJk0RISIgAIC5cuCD1XbhwoQCg8tpo3ry5qFevnrh69ap48eKFuHv3rpg/f774/vvvpT5z5swRAKT/U16macwZM2YIAGLUqFFi69at0v9NlSpVEt26dVPZPywsTNjY2IjGjRuLM2fOiNTUVHHjxg0xceJEcfLkyUKPT28PFrHlwHfffSfMzMyEkZGRaN68uRg3bpzYsWOHeP78uUq/AwcOCABiyZIlWsfauXOnACDWrl2r0n7hwgUBQPpPI7+IdXV1FdnZ2Sp9hw4dKszNzUV0dLTG4x89elTr8QsqYr/88kuVvsOGDRMVKlQQX3zxhUr7yJEjhYWFhUpb/hhTpkxRab93754wMDAQn376qVrfyZMnq/SNj48XJiYmonfv3irtGRkZwtnZWaW4qFGjhmjRooVKv59//lkAEMeOHRNCCPH8+XNhY2Oj9gEshBADBw4ULi4uQqlUCiHyCgG5XC5u376tclxLS0thYWEhbt68KbVnZmYKa2trMWbMGKlNl2O9/BwIIUSLFi2Er6+vSltxith8+a+l1atXS21FjSE+Pl4oFAoxfPhwlX4xMTHCzMys0CJ27969AoD4+++/C+xXWBELQFy5ckVtW1ELy5SUFGFpaSk6duyocxyvW8Rqi1kTTc/R6xSxmo61detWAUBs27ZNpT0pKUlYW1tL79X8942mIjtf/i84v//+u0r7/v37BQCxdOlSIYQQZ8+eFQDEihUrVPoFBwcLNzc3kZub+1qx5ReRderUUYvp9u3bQiaTiblz56rlw9XVVTrW6/j++++FXC6XivKCjt+lSxfh4OAgkpKSVNrz83n9+nWtx2nRooVwd3dX+2xv3rx5oUVsVlaWkMlkYvbs2QWei65F7Kv/f82ePVsAEE+fPpXagoODha2tbYEFKovYfwdOJygHPvroI0RHR2Pz5s1o2bIlbt26hT59+qBmzZo4duyY1G/fvn0AgP79+2sdKzQ0FADQo0cPlXZ/f3+4u7tL2/N17NgRhoaqU6f37NmD5s2bw9HRUaW9TZs2MDAwwPHjx1/7HAGgQ4cOKo89PT2RlpaG4OBglXYvLy+kpqZqXJ6la9euKo+rVauGOnXq4MiRI4X2PX36NDIyMtRyo1Ao0LlzZ5w/fx6pqakAgGHDhuGvv/7C3bt3pX5r165F9erV0bJlSwDAyZMnkZiYiHfffVft2AEBAXj8+LHKNI9q1aqhZs2aKsf18PCAnZ0dvLy8pPb8Pz2+vK8ux3r1y3U+Pj4qfXQRHR2NUaNGwd3dHcbGxpDJZLCxsQEAtWkdRYnh1KlTyMzMVHuu7O3t0bRp00Lj8fLygpGREcaPH489e/ZIz9/rcnd3R926dXXaF8h7flJSUgp8b+qbtphf5zkqzrH27NkDY2NjtefOysoK/v7+0ufEvn37YGhoqPG1my80NBTGxsbo1KmTSntwcDDMzc2lz61GjRrBx8cHa9eulfo8fvwYhw4dwtChQyGXy18rtnyv9gOAmjVrol27dlixYoU0NeXy5cs4d+6cyrG0OXToENq3b4+KFStCLpdDJpNh/PjxUCqVau/DV4+flZWFgwcPon379rCyslLZFhAQAABaP4czMjJw+vRpjZ/tL3/vQhsjIyN4e3tj6dKlWLlypcqUD3149Tn28fEBkDd9AMg799DQUHTs2LHQ6U309mMRW05YWVmhZ8+emD17Ng4fPoxr164hOzsbvXv3luahxsTEQKFQoGLFilrHiY+Ph4mJidoHHwBUrlxZrTB8dS5ubm4u4uLicPDgQRgaGsLAwAAGBgaQy+VQKBTIzc1FfHy8Tuf4alFsYWFRYLumpVMqVaqksU1TwfvqueXHrWkuY+XKlSGEkOYov/feezA0NJT+s3zw4AGOHj2KYcOGQSaTAcibNwYAgwcPlnIll8shl8uleXsv5+rV88w/V23tL5+/Po5laWmpMpf3dWVlZaF169Y4efIkfv75Z8THx0OpVCIrKwsymQzZ2dkq/YsSQ37M2p7XwlStWhV79+6FTCZD9+7dYWNjg8aNG2P16tUQQhT53DTNSS/Iq2PHxMToNI4ux8qn6Viv+xwVlaZjPX36FFlZWTAzM1N5TcpkMhw+fFh6bmNiYlCpUiW1gupl8fHxcHBw0FgYvvr+Hj58OM6dO4cbN24AANavXw8hBIYOHfrasRV0fkDeHPgHDx7gwIEDAIBly5ZBJpOpHEuTEydOoEOHDvDw8MDZs2fx4sULCCGk7xy8+jy8evzExERkZWVh06ZNap/D+Z9f2j6Hk5KSkJubq/N7CgB+//13tGjRAh9//DFcXFxQo0YNTJ06tVifH/le/VywtLSU4gbyzj07O7tE3ktU/rCILae8vLzQp08fxMbG4vbt2wDyrk5lZmYWWETa2toiIyND44fNs2fP1JY8MTIyUnlsYGAAa2tr9OzZEzk5OcjNzUVubi6USiVE3vQULFmyRKdzyi/+itquiaYvADx79kxjYf/qudna2hY4hkwmk/pUrlwZHTt2xIYNG5Cbm4t169ZBLperfNEuP5c7d+6UcqVUKlVy1bBhw0LPsyjnr69jFcfZs2dx9+5dzJo1Cy1atICFhQVkMhkiIiI0FlpFiSH/edP2nBRF+/btcerUKSQkJOCPP/6Au7s7Ro4ciR9++KFI+wPqr5V8VlZWGq/uvnp1yt7eXmP76yjqsfJpivl1n6Oi0nQsOzs7WFpaIisrS+U1mf96vHPnDoC83Dx79kz6YqUmtra2iImJ0Rjjq59bgwYNgrGxMdauXSsVhgEBAXB3d3/t2Ao6PyDvCqmrqyuWLVuG5ORk/PLLL2jXrh08PDwKzNfPP/8MU1NT/Pjjj6hRowYUCgWA/7/a+KpXj29lZQVDQ0OMHj1a6+fw9OnTNY5lbW0NAwODYr2nqlatil9//RWJiYk4f/48+vXrh4ULF2LAgAFF2r8ghX0uWFtbw8jISO9XgKl8YhFbxv3yyy84c+aMxm35b+L8q6qdO3eW9tGmXbt2ACB96z3fpUuX8PDhQ2l7Qbp06YIjR46Uybut7NmzR+XxgwcPcP369SKdV7NmzWBiYoJdu3aptGdlZWHv3r1o2LChdBUYyLtjVHR0NPbu3Yv169ejQ4cOcHJykra3bNkSlpaW2Lp1azHPqnAldawKFSoUuuLEq/L/Q863YcMGnY/ftGlTKBQKtec1Li7utVYoAPKu6AQFBWHLli2wsbHBiRMnpG26nCeQNyUi/4rfy7G9vJoFALRo0QKWlpYFvjcLi6OoxyoKfT5H2nTp0gUpKSnSVUptOnfujJycHGzbtk1rn3bt2iErK0uaMpXv0KFDeP78ucr7u2LFiggJCcHGjRtx6NAhhIeHY/jw4TrFVhgDAwOMGjUK+/fvx5dffon09HS1Y2mTP5UjX25ubqGvj3wmJiYIDAzEvn37XvuGNyYmJmjSpAn279+vtorBqyuZFMbIyAgNGjTAzJkz0b17d7X3FACd3lcFUSgUCAgIwL59+wq8kUFJHZ/KFhaxZVxMTAxatmyJjz76CDdv3kRmZiYePXqEL7/8Ert27ULv3r2lKwzt27dH3759MW3aNCxbtgxPnz5FbGwstm7dik8++QQA0K1bN7Ro0QKffPKJNEfwzJkz6NevHzw8PPDBBx8UGtOcOXNQoUIFdOjQAceOHUNKSgpiYmJw5MgR9OnTp1SXMXn48CHWr1+P5ORkXLt2DX369IGdnR0+/vjjQve1tbXFZ599hl9//RVz5sxBXFwcHjx4gP79++PZs2f45ptvVPp37NgRTk5OmDBhAiIjI9X+87KwsMD333+PrVu3YuLEibhz5w5evHiBe/fuYd26dejSpYvezrukjuXj44M7d+4gLCys0Ct19evXh5OTE77++mvcu3cPCQkJ+PHHH3H79m0YGBjodPyKFSti8uTJWL9+PZYuXYrExETcunULQ4cOLdKc2A0bNmDs2LE4e/YskpOTkZKSgrVr1yIxMRFt2rTR6TxfNnLkSISHh+O///0vkpOTcePGDYwaNQpNmjRR6WdhYYFFixZh//79eP/993H37l08f/4cJ0+eVJnvWFAcRT1WQUriOdKmb9++6Ny5M9577z1s2LABT58+RWpqKi5duoSpU6fi22+/BQD06dMHQUFBGDt2LH766SfExsbi6dOnWL9+Pb788ksAedNk6tati9GjR+Pw4cNITU3F0aNHMWLECPj4+GDYsGEqxx4+fDhiY2MxcuRI2Nraqs31LGpsRTFy5EgYGhpi0aJFsLW1Rffu3Qvdp2vXrkhMTMQXX3yB5ORk3Lt3D/369XutedcLFy5Eeno6OnfujDNnzuD58+d48uQJDhw4gK5du6pdTX7ZrFmz8PjxYwwdOhSPHj3Cs2fPMHXq1AKnouWLiIhAhw4d8Mcff+DJkyfIyMjAyZMnceLECbX3FADs3btX52kq2ixYsABCCHTo0AFnz55FWloabt68iQ8//BCnTp0q8eNTGfKmvkFGuklPTxebN28WXbt2FR4eHsLIyEhYWlqKRo0aiYULF6p9uzQ3N1csXLhQvPPOO0KhUAhHR0fRv39/ER4eLvV5/vy5mDx5snB3dxeGhoaiUqVKYujQoSqrDeR/W3nOnDka44qJiRETJ04UVatWFcbGxqJy5coiMDBQbNu2TeTk5Gg9n4JWJ4iMjFTpu3z5cgFAPHjwQKV91apVAoC4e/eu2hjh4eFi4sSJomLFisLMzEx07NhR5Rv/BR0v35o1a0S9evWEQqEQFhYWIjAwUJw6dUpj32nTpgkAolKlSmrPRb6//vpLdOnSRVSsWFEoFApRs2ZNMWLECPHPP/9IfRo1aiRatWqltm+zZs1Es2bN1Nq1fYu9OMeaMmWKePUjIS4uTnTu3FlYWloKAMLKykrjOea7cuWKaNOmjTA3Nxf29vZizJgxIi0tTRgYGIhPPvlEpxiUSqX45ptvhLu7u1AoFMLf31/89ddfYvjw4YWuTpCeni5WrFghmjZtKqysrIS1tbVo1KiRWLduXZHPU1us+ebPny9cXFyEQqEQzZo1E5cvX9a4YoAQQhw8eFC0bdtWWFhYCEtLS9GqVSvx559/FimO1zlWQTEX9Tl6ndUJtB0rJydHLFq0SPj5+QkzMzNhZWUl/P39xfz581W+VZ+ZmSlmz54tvLy8hLGxsXBxcRHDhw8XUVFRUp+EhAQxbtw44ezsLAwNDYWTk5MYM2aMiI+PVzuuUqkUHh4eAoCYOHGizrHlrw6watWqAnPQr18/AUBMmDChsHRJVqxYIWrWrClMTEyEl5eX2LBhg9i8ebMAIC5fvlyk40dGRopRo0YJNzc3YWRkJJydnUWnTp3E3r17pdVItDl48KCoX7++UCgUwt3dXSxdulRaiqywJbYOHDggunbtKhwdHYWZmZmoVauW+Pzzz0VKSorKMSZNmiQqV64s5HK5ACDOnDmjdcz81QlevHihMsbRo0cFALF//36V9nv37omBAweKSpUqCYVCIerUqSOWLFmi8jms7fj09pAJUYyJUERlxPfffy9dEXVxcSntcIjoX+T999/HihUrcOXKlWKtYkFEr4fTCYiIiHSUk5ODHTt2oEGDBixgid4w7WuaEBERkVY5OTlYsGAB4uLisHr16tIOh+hfh0UsERHRa9qyZQv69esHOzs7zJw5E926dSvtkIj+dTgnloiIiIjKHc6JJSIiIqJyh0UsEREREZU7nBP7P0qlEtHR0dJtGImIiIhKkhACqampcHJyglzO64qvi0Xs/0RHR8PV1bW0wyAiIqJ/meKucZ6Tk4Np06Zh/vz5xYojJycHn3/+OebNm1escd4UfrHrf5KTk2FtbY3IyEhYWlqWdjh6oVQqERsbC3t7e/6G9xLmRTPmRTvmRjPmRTPmRTPmRV1KSgpcXV2RkJCAWbNmYcGCBTqNk5GRAWtra2RkZBQrnoyMDNjZ2eH58+cat3/44YdYtGhRsY6hjVKpxOTJk18rB7wS+z/5UwgsLS3fqiI2IyMDlpaW/MB4CfOiGfOiHXOjGfOiGfOiGfOinRACixcv1rmIfVM8PDxKbGylUvnaOeCriIiIiOg15eTkYPLkybh//z7mzJmDJUuWID09XWX7zz//jM8//xxr1qxBZmamyn4PHjyQrmquW7cOSqUSH374IT788EMkJyfjyy+/lMbKysrCtGnT1Pb/5ptv8Oeff0r9XjcWIO8v0d999x3mz5+PqKioAs/54cOHKjFERERg3rx5+O6775CamlpoXlJTU7We14oVK1RyoFQqC30OWMQSERERvaacnBwsXLgQQ4YMQU5ODvbv348OHToAyLuy2qlTJxw5cgRWVlY4dOgQOnXqpLLfsGHDkJOTAwCwt7eHTCaDh4cHPDw8kJ6ernIXuKysLCxfvlzj/lZWVlK7LrG0bNkSJ0+exIsXLzBgwIACz3nx4sUqMQwfPhw5OTk4fPgwBg0aVGhe0tLStJ5XpUqVVHJQlC/ZczoBERERkQ5yc3OxatUqeHp6QqlUombNmvj777+RkpKCsLAweHl5ITo6Go6Ojti7dy+ePn0Ka2tr5ObmYs2aNbCzs8PXX3+Nzp07QyaT4cMPPwQAPH36tNDjrlmzBlWrVgWQN5dVl1iuXr0KhUKBnTt3AgDatWuHoKCgIp/7Tz/9BGdnZ6SmpsLZ2bnQvLzc51UhISEqOSgKFrFEREREOpDJZKhZsyYAQC6Xo1atWoiKikJ8fDxsbW1V5pDOnj0bCoUCAGBsbIyqVasiJSWlSMd59Tv4+fsXN5bHjx/D29tban/534VRKBRSUWphYaEyfUFbLK8WscVdW4BFLBEREZEOhBC4ePEiGjZsiIyMDFy9ehXVqlWDvb09YmNjMXz4cFhYWKjsk5GRofancgMDA8hkMiiVSsjlclhZWSEpKQmZmZlQKBS4cuWKSn9Nf2rXJZbq1avju+++Q25uLgwMDHD27NkSzUtB5/VqDoqCRSwRERGRDgwNDfHRRx/By8sL58+fR/PmzVG7dm0AQIcOHVCnTh20b98eZmZmMDc3x6xZszSOI5PJ4OPjg969e8PFxQXfffcdmjdvjrZt28LLywv37t0rkVhatWoFJycnNG7cGHXq1MGtW7dKPC/azktTDgorZlnEEhEREWkghCjwC0YGBgbYs2cPDh48iK5du6Jz587SttWrV+P8+fO4cuUK0tPTYWpqCgAwMjLCt99+qzbWgQMHsG/fPiQnJ0Mmk2H37t3YtWsXjI2NERAQgF9++UXr/kZGRli4cCH69+//WrEAwL59+7Bnzx7k5ORgwYIF2Lx5s9bzXbhwodYYvvvuuyLlRdt5acpBYXizg/9JSUmBlZUVkpOT36p1YmNiYuDg4MA1+V7CvGjGvGjH3GjGvGjGvGhWHvIihMDlyCRsPBOBQzeeIj0rF2bGBmhfuzIGNXGHr6u1VFzp4wYDb2Ptoa8bLxQFr8QSERHRv152rhJTd1zDjktRMJDLkKvMu8aXlpWL369GY9flKPT0c8bcnu/AyECu9Yrqv92bzAuLWCIiIvpXE0Jg6o5r2Hk5b7H//AI2X/7j/O3fvlsXBgYGGD9+/JsNtBx4k3kpm9fziYiIiN6Qy5FJ2HEpCoVNsBQC2HEpClcik95IXFQwFrFERET0r7bxTAQM5IV/kQgADOQybDwTUcIRUVGwiCUiIqJ/tUM3nqpNIdAmVylw8GbBd9SiN4NFLBEREf1rCSGQnpX7WvukZ+YW+25TVHwsYomIiOhfSyaTwczY4LX2MVMYFGkdUypZLGKJiIjoX6197cqvNSc2yLtyCUdERcEiloiIiP7VBjVxf605sYOauJdwRFQULGKJiIjoX83X1Ro9/ZxR2AwBmQzo6eeMeq7WbyQuKhiLWCIiIvpXk8lkmNvzHfTwdQYAtakF+Y97+ObdsYvzYcsG3rGLiIiI/vWMDOT49t26GNjYHRvPRODgzadIz8yFmcIAQd6VMaiJO+q5WrOALUNYxBIREREh74qsr5sNfN1sAOQtv8WitezidAIiIiIiDVjAlm0sYomIiIio3GERS0RERETlDotYIiIiIip3WMQSERERUbnDIpaIiIiIyh0WsURERERU7rCIJSIiIqJyp9SL2IsXL2LEiBFo3rw5Ll++rLHP6dOnMWDAAAQEBOCjjz7Cs2fPdOpDRERERG+HUi1ip0+fjvfffx9Vq1bFqVOnkJycrNbnxIkTaN26NVxdXTFhwgT8888/aNasGZ4/f/5afYiIiIjo7VGqRexHH32EixcvYvDgwVr7fP755wgJCcHcuXPRrVs37N69GzExMVi5cuVr9SEiIiKit0epFrE2NjYFbk9PT8fp06fRtWtXqa1ChQoICAjAn3/+WeQ+RERERPR2MSztAAoSGRkJpVIJZ2dnlXZnZ2ccOXKkyH00yczMRGZmpvQ4JSUFAKBUKqFUKvV1CqVKqVRCCPHWnI++MC+aMS/aMTeaMS+aMS+aMS/qmIviKdNFbHZ2NgDAxMREpd3U1BRZWVlF7qPJnDlz8NVXX6m1x8bGIiMjo1hxlxVKpRLJyckQQkAuL/Xv8JUZzItmzIt2zI1mzItmzItmzIu61NTU0g6hXCvTRaytrS0AID4+XqU9Pj5e2laUPppMmzYNH3/8sfQ4JSUFrq6usLe3h6WlpV7iL21KpRIymQz29vb8wHgJ86IZ86Idc6MZ86IZ86IZ86Lu1Qtw9HrKdBHr5OSESpUq4e+//0bnzp2l9vPnz6NZs2ZF7qOJQqGAQqFQa5fL5W/Vm0smk71156QPzItmzIt2zI1mzItmzItmzIsq5qF4ynz2hg4ditWrV+PJkycAgN27d+Off/7B0KFDX6sPEREREb09SvVK7P79+zF79mxp7uqECRNgZWWFYcOGYdiwYQCAGTNm4Pbt26hevTrc3d3x8OFDLF68GI0aNZLGKUofIiIiInp7lGoRW79+fcydO1et3c3NTfq3iYkJdu7ciUePHuHZs2eoWbMmrKysVPoXpQ8RERERvT1KtYh1cHCAg4NDkfq6ubmpFLe69iEiIiKi8q/Mz4klIiIiInoVi1giIiIiKndYxBIRERFRucMiloiIiIjKHRaxRERERFTusIglIiIionKHRSwRERERlTssYomIiIio3GERS0RERETlDotYIiIiIip3WMQSERERUbnDIpaIiIiIyh0WsURERERU7rCIJSIiIqJyh0UsEREREZU7LGKJiIiIqNxhEUtERERE5Q6LWCIiIiIqd1jEEhEREVG5wyKWiIiIiModFrFEREREVO6wiCUiIiKicodFLBERERGVOyxiiYiIiKjcYRFLREREROUOi1giIiIiKnd0LmKFELh9+zb279+vz3iIiIiIiAqlUxEbExODli1bwtPTEx07dpTag4KCEBoaqrfgiIiIiIg00amI/fjjj+Hk5IT4+HiV9s8++wyzZ8/WS2BERERERNoY6rLToUOHcO3aNdja2qq0+/r64syZM3oJjIiIiIhIG52uxD5//hympqYAAJlMJrXHx8dDoVDoJzIiIiIiIi10KmKbNm2Kn3/+GcD/F7E5OTmYPn06WrZsqb/oAGRmZmLBggVo3749GjZsiIkTJyI2Nlat34EDB9CpUyf4+/tj6NChePjwoV7jICIiIqKyQ6fpBN988w3atm2LP//8E0IIjBkzBqGhoXj27BlOnTql1wD79++Pq1evYsGCBbCzs8OSJUvQunVrXLp0Sbrqe+DAAXTp0gVff/01mjRpgkWLFqF58+b4559/YG1trdd4iIiIiKj06XQl1s/PD5cuXYK7uzuaNGmCK1euIDAwEJcuXYKPj4/egnv8+DF27tyJxYsXo1u3bmjWrBk2btyIJ0+eYOPGjVK/GTNmoG/fvpg6dSpatWqFLVu2IC0tDT/++KPeYiEiIiKiskOnInbWrFmoWrUqFi9ejFOnTuHMmTP44YcfUK1aNb0Gl5ycDACwt7eX2oyNjWFlZYXDhw8DyJufe+HCBZWlvhQKBQICAnD06FG9xkNEREREZYNO0wm+/vprTJ06FYaGOu1eZDVr1oSLiwsWLVqE9evXw9jYGNu3b8fDhw/h6OgIAIiKioIQQnqcz9HRETdu3NA6dmZmJjIzM6XHKSkpAAClUgmlUlkCZ/PmKZVKCCHemvPRF+ZFM+ZFO+ZGM+ZFM+ZFM+ZFHXNRPDpVob6+vjh16hRatWql73hUGBkZYceOHXjvvffg4OAAS0tLODo6okOHDtIatTk5OQDyrtC+TKFQIDs7W+vYc+bMwVdffaXWHhsbi4yMDD2eRelRKpVITk6GEAJyOe8wnI950Yx50Y650Yx50Yx50Yx5UZeamlraIZRrOhWxPXr0QN++ffHJJ5/A29tbrYAMCAjQS3AA0LBhQ9y8eRPPnj3Dixcv4OHhgdatW8PFxQUAULFiRQBQu/FCfHw87OzstI47bdo0fPzxx9LjlJQUuLq6wt7eHpaWlnqLvzQplUrIZDLY29vzA+MlzItmzIt2zI1mzItmzItmzIs6ExOT0g6hXNOpiJ0yZQoAYPLkyRq3CyF0j0iLSpUqAci7UnrmzBksXboUAFC5cmU4OTnh3Llz6NKli9T/zJkzaNeundbxFAqFxjVt5XL5W/Xmkslkb9056QPzohnzoh1zoxnzohnzohnzoop5KB6dsieEKPBHnzZt2iSt+ZqSkoJhw4ahRo0aGDx4sNRn9OjRWL16Ne7fvw8A2LBhA+7cuYMRI0boNRYiIiIiKhtK9ptZelCjRg0EBwcjKysLMTExaNmyJQ4dOqRyCf6zzz7Dw4cP4enpCTs7O6Snp2Pt2rWoV69e6QVORERERCVG5yI2NzcX+/fvR1hYGIQQ8Pb2RseOHfV+abxhw4a4desWIiIiYGlpCRsbG7U+hoaGWLt2LRYsWIC4uDi4ubnx9rdEREREbzGditiIiAh06dIFYWFhcHd3h0wmQ0REBDw9PbFnzx64u7vrO84ijWljY6OxyCUiIiKit4tOl00nTpwIFxcXPHr0CPfu3cPdu3cREREBFxcXTJw4Ud8xEhERERGp0OlKbGhoKG7duqVygwFHR0esXLkSnp6eeguOiIiIiEgTna7EymQyjasQKJVKLhdBRERERCVOp4ozMDAQI0eORFRUlNT2+PFjjBgxAoGBgXoLjoiIiIhIE52K2CVLlkirAOT/uLu7IyEhAYsXL9Z3jEREREREKnSaE+vi4oILFy4gNDQUN27cgEwmg7e3N9q1aweZTKbvGImIiIiIVOi8TqxMJkNAQAACAgL0GQ8RERERUaF0mk7w+PFjLFiwQK19wYIFKvNkiYiIiIhKgk5F7IQJE1CtWjW19mrVquGDDz4odlBERERERAXRqYg9fPgw2rZtq9betm1bHD58uNhBEREREREVRKcitkKFCrh//75a+71792BsbFzsoIiIiIiICqJTEdutWzeMHj0a4eHhUtu9e/cwevRohISE6Cs2IiIiIiKNdCpi582bB7lcjho1asDFxQXOzs6oWbMmDA0N8c033+g7RiIiIiIiFTotsWVtbY1Tp04hNDQUly5dgkwmg6+vLwICArhOLBERERGVOJ3XiZXL5QgMDERgYCAyMjJw7Ngx3L59G56envqMj4iIiIhIjU7TCfbv349BgwYBAIQQCAwMRKdOneDj44OdO3fqNUAiIiIiolfpVMR+8cUXmDRpEgDg7NmzCA8PR2xsLDZs2IDZs2frNUAiIiIiolfpVMTevHkTtWrVAgCEhoaie/fusLW1Rffu3XH79m29BkhERERE9CqdilgHBwdcunQJQgjs3LkT7dq1AwA8efIElSpV0muARERERESv0umLXaNHj0ZwcDAcHR2RmZmJ4OBgAMCOHTvQq1cvvQZIRERERPQqnYrYadOmwc/PDxEREejatSvMzMwAAAqFAlOnTtVrgEREREREr9J5ia2goCC1tokTJxYrGCIiIiKiotBpTiwRERERUWliEUtERERE5Q6LWCIiIiIqd3QqYl1cXHTaRkRERESkDzoVsVFRURrbs7OzERMTU6yAiIiIiIgK81qrE+zdu1fjvwFAqVTi7NmzqFq1qn4iIyIiIiLS4rWK2JdvZPDqTQ2MjIzg4eGBRYsW6SUwIiIiIiJtXquIzcjIAJA37/Xx48clEhARERERUWF0mhPLApaIiIiISpPOd+wKDw/HuXPnkJCQoLZt/PjxxQrqZWlpaZgzZw727duHxMREuLm54f3330e/fv1U+v3yyy9YvHgxnj17hjp16mDOnDnw8fHRWxxEREREVHboVMSuXbsWo0aNQsWKFWFjY6O2XZ9F7NixY3HixAmsXbsWHh4eOHDgAAYOHAhTU1OEhIQAALZv34733nsPy5YtQ5MmTfDtt9+idevWuHnzJhwcHPQWCxERERGVDTpNJ5g5cyZ+/PFHPHv2DLdu3VL70afjx49jyJAhaNOmDapUqYIxY8bAx8cHx48fl/rMmjULQ4YMwYgRI1C7dm2sWrUKcrkcy5cv12ssRERERFQ26FTEJiQkoH///vqORaPg4GAcOHBAmrZw/vx5hIeHIzg4GACQkpKCq1evIjAwUNrH0NAQ7dq1w4kTJ95IjERERET0Zuk0ncDPzw9XrlxB06ZN9R2Pmh9++AEDBw6Eg4MDzM3NkZGRgRUrViAoKAjA/994oVKlSir7VapUCVeuXNE6bmZmJjIzM6XHKSkpAPLWu1UqlXo+i9KhVCohhHhrzkdfmBfNmBftmBvNmBfNmBfNmBd1zEXx6FTEdurUCX379sW0adNQvXp1yGQyle0BAQF6CQ4APvroI5w/fx779+9HtWrVcOjQIYwdOxZOTk4IDAyEEAJA3tXXlxkaGiI3N1fruHPmzMFXX32l1h4bGystJVbeKZVKJCcnQwgBuVyni+5vJeZFM+ZFO+ZGM+ZFM+ZFM+ZFXWpqammHUK7JRH4V+Do7vVK0vkqHITVKTExExYoVsWnTJpXVCHr37o24uDgcOXIEsbGxcHBwwO7du9GtWzepz5AhQxAeHo6TJ09qHFvTlVhXV1ckJibC0tJSL/GXNqVSidjYWNjb2/MD4yXMi2bMi3bMjWbMi2bMi2bMi7qUlBTY2NggOTn5rak93iSdrsTqq0gtTG5uLoQQqFChgkq7ubk5oqOjAQD29vbw8PDAyZMnVYrYv/76S1q9QBOFQgGFQqHWLpfL36o3l0wme+vOSR+YF82YF+2YG82YF82YF82YF1XMQ/GU6ezZ2dmhfv36+OabbxATEwMAOHv2LLZv344OHTpI/caPH4/Vq1fj77//Rm5uLr777js8fvwYo0aNKq3QiYiIiKgEFflK7O7duwEAISEh0r+1KegK6Ovatm0bxo8fD3d3dxgZGcHAwACjR4/GlClTpD4ff/wxnj17hpYtW0KpVMLe3h7bt2+Hp6en3uIgIiIiorKjyHNizc3NAQDPnz+X/q3N8+fPix/ZK5RKJVJTU2FlZaW1T05ODlJTU2FtbV3ovN1XpaSkwMrK6q2al6JUKhETEwMHBwf+yeIlzItmzIt2zI1mzItmzItmzIu6t7H2eJOKfCX25cK0JIrUwsjl8gILWCBvRQJNdxAjIiIiorcLfxUiIiIionJHp9UJXpaRkYGcnByVtsKmGxARERERFYdOV2JTU1Mxbtw4ODg4wNTUFBYWFio/REREREQlSacidurUqbh8+TI2bNgAADh69CjmzZsHa2trzJ49W68BEhERERG9Sqci9rfffsPatWsRHBwMAGjZsiU+/fRTbNy4sdDlt4iIiIiIikunIjY6Oho1a9YEAFhYWCAxMREA0KZNG1y7dk1/0RERERERaaBTESuEkNZ4q1WrFn7//XcAedMKKlasqL/oiIiIiIg00KmIrVatmvTvqVOnYvTo0fDw8EBISAg++ugjvQVHRERERKSJTkts3bt3T/p3z549cfnyZVy4cAGenp5o3Lix3oIjIiIiItJEpyuxs2bNUnlcu3ZtvPfeeyxgiYiIiOiN0KmI/frrr9VucEBERERE9KboVMT6+vri1KlT+o6FiIiIiKhIdJoT26NHD/Tt2xeffPIJvL29YWxsrLI9ICBAL8EREREREWmiUxE7ZcoUAMDkyZM1bhdC6B4REREREVEhdCpiWaQSERERUWnSaU6si4uLTtuIiIiIiPRBpyI2KipKY3t2djZiYmKKFRARERERUWFeazrB3r17Nf4bAJRKJc6ePYuqVavqJzIiIiIiIi1eq4jt1auXxn8DgJGRETw8PLBo0SK9BEZEREREpM1rFbEZGRkA8ua9Pn78uEQCIiIiIiIqjE5zYl8tYDMyMnDgwAHcunVLL0ERERERERVEpyJ2//79GDRoEIC85bYCAwPRqVMn+Pj4YOfOnXoNkIiIiIjoVToVsV988QUmTZoEADh79izCw8MRGxuLDRs2YPbs2XoNkIiIiIjoVToVsTdv3kStWrUAAKGhoejevTtsbW3RvXt33L59W68BEhERERG9Sqci1sHBAZcuXYIQAjt37kS7du0AAE+ePEGlSpX0GiARERER0at0uu3s6NGjERwcDEdHR2RmZiI4OBgAsGPHDrWlt4iIiIiI9E2nInbatGnw8/NDREQEunbtCjMzMwCAQqHA1KlT9RogEREREdGrdCpiASAoKEitbeLEicUKhoiIiIioKHQuYsPDw3Hu3DkkJCSobRs/fnyxgiIiIiIiKohORezatWsxatQoVKxYETY2NmrbWcQSERERUUnSqYidOXMmfvzxR4wYMULf8RARERERFUqnJbYSEhLQv39/fceikbW1NQwNDdV+PvjgA5V+S5cuRbVq1WBubo4mTZrgzJkzbyQ+IiIiInrzdCpi/fz8cOXKFT2Holl8fDwyMjKkn4MHDyI3Nxc9evSQ+qxbtw5TpkzBggULEB4ejqZNm6J9+/aIjIx8IzESERER0Zul03SCTp06oW/fvpg2bRqqV68OmUymsj0gIEAvwQGAgYGByuP169ejRo0aaNWqldQ2f/58DBs2DCEhIQCAb7/9Flu2bMHy5cvx3//+V2+xEBEREVHZoFMR++mnnwIAxo4dq3G7EEL3iAqQnJyMHTt24KuvvpLaEhMTERYWhq+//lpqk8lkaNOmDU6fPl0icRARERFR6dKpiC2pIrUwv/zyC3JycjBkyBCp7cmTJwDyboX7Mnt7e1y8eFHrWJmZmcjMzJQep6SkAACUSiWUSqU+wy41SqUSQoi35nz0hXnRjHnRjrnRjHnRjHnRjHlRx1wUj87rxJaG1atXo1u3bmoFqyZyubzAYnvOnDkqV3TzxcbGIiMjo1hxlhVKpRLJyckQQkAu12n681uJedGMedGOudGMedGMedGMeVGXmppa2iGUazoXsbm5udi/fz/CwsIghIC3tzc6duxYYi/Mq1ev4tKlS5gzZ45Ke+XKlQHkFZ8vi4mJQaVKlbSON23aNHz88cfS45SUFLi6usLe3h6WlpZ6jLz0KJVKyGQy2Nvb8wPjJcyLZsyLdsyNZsyLZsyLZsyLOhMTk9IOoVzTqYiNiIhAly5dEBYWBnd3d8hkMkRERMDT0xN79uyBu7u7vuPE6tWr4eHhofalMVtbW9SsWRPHjx+XViwQQuDYsWMYMGCA1vEUCgUUCoVau1wuf6veXDKZ7K07J31gXjRjXrRjbjRjXjRjXjRjXlQxD8WjU/YmTpwIFxcXPHr0CPfu3cPdu3cREREBFxcXTJw4Ud8xIjMzE5s2bcLw4cM1PuGffPIJ1qxZg4MHDyI5ORn/+c9/kJCQgPfff1/vsRARERFR6dPpSmxoaChu3boFR0dHqc3R0RErV66Ep6en3oLLt3PnTqSkpGDo0KEat48aNQpJSUkYOnQoYmJi4OPjg3379sHDw0PvsRARERFR6dPpSqxMJtP4pSmlUlkil8b79OmDzMxMODs7a+3z6aefIjo6Gjk5Obhy5YrKOrJERERE9HbRqeIMDAzEyJEjERUVJbU9fvwYI0aMQGBgoN6CyyeXy9VuekBERERE/146FbFLlixBXFwc3NzcpB93d3ckJCRg8eLF+o6RiIiIiEiFTnNiXVxccOHCBYSGhuLGjRuQyWTw9vZGu3bt1G5BS0RERESkbzqvEyuTyRAQEKC25BURERERUUnTaTrB48ePsWDBArX2BQsWqMyTJSIiIiIqCToVsRMmTEC1atXU2qtVq4YPPvig2EERERERERVEpyL28OHDaNu2rVp727Ztcfjw4WIHRURERERUEJ2K2AoVKuD+/ftq7ffu3YOxsXGxgyIiIiIiKohORWy3bt0wevRohIeHS2337t3D6NGjERISoq/YiIiIiIg00qmInTdvHuRyOWrUqAEXFxc4OzujZs2aMDQ0xDfffKPvGImIiIiIVOi0xJa1tTVOnTqF0NBQXLp0CTKZDL6+vggICOA6sURERERU4nReJ1YulyMwMBCBgYF4/PgxXFxc9BkXEREREZFWOk0neJWrq6s+hiEiIiIiKhK9FLFERERERG8Si1giIiIiKnf0UsSOGzdOH8MQERERERWJXorY77//Xh/DEBEREREVic6rE4SHh+PcuXNISEhQ2zZ+/PhiBUVEREREVBCditi1a9di1KhRqFixImxsbNS2s4glIiIiopKkUxE7c+ZM/PjjjxgxYoS+4yEiIiIiKpROc2ITEhLQv39/fcdCRERERFQkOhWxfn5+uHLlip5DISIiIiIqGp2mE3Tq1Al9+/bFtGnTUL16dchkMpXtAQEBegmOiIiIiEgTnYrYTz/9FAAwduxYjduFELpHRERERERUCJ2KWBapRERERFSaeNtZIiIiIip3dL7ZQW5uLvbv34+wsDAIIeDt7Y2OHTtCLmddTEREREQlS6ciNiIiAl26dEFYWBjc3d0hk8kQEREBT09P7NmzB+7u7vqOk4iIiIhIotNl04kTJ8LFxQWPHj3CvXv3cPfuXURERMDFxQUTJ07Ud4xERERERCp0uhIbGhqKW7duwdHRUWpzdHTEypUr4enpqbfgiIiIiIg00elKrEwm07hCgVKp5JxYIiIiIipxOlWcgYGBGDlyJKKioqS2x48fY8SIEQgMDNRbcK/Kzc1Fbm5ugX0yMjJK7PhEREREVDboVMQuWbIEcXFxcHNzk37c3d2RkJCAxYsX6ztGXL58GW3btoWpqSkcHBzw4Ycf4sWLFyp9ZsyYAWtra5ibm6NGjRo4cOCA3uMgIiIiorJBpyLWxcUFFy5cwMGDB/HJJ59g0qRJOHjwIC5cuAAXFxe9Bnjr1i20bNkSvr6+SEhIwNOnT1GjRg1cv35d6rN06VIsWrQIe/fuRXp6OoYOHYqQkBDcu3dPr7EQERERUdkgE2X89ls9e/ZEREQELl68qLVPtWrVEBISggULFkhtHh4e6NWrF7799tsiHSclJQVWVlZITk6GpaVlseMuC5RKJWJiYuDg4MC5yi9hXjRjXrRjbjRjXjRjXjRjXtS9jbXHm6TzzQ7Cw8Nx7tw5JCQkqG0bP358sYLKl5ubiwMHDmDGjBkAgMzMTCgUCpU+cXFxuH//Plq0aKHS3rJlS5w7d04vcRARERFR2aJTEbt27VqMGjUKFStWhI2Njdp2fRWxsbGxSE9PR0ZGBnx8fHD37l2Ym5tjyJAhmDNnDhQKBWJiYgAAdnZ2Kvs6ODgUWMRmZmYiMzNTepySkgIg7zdFpVKpl/hLm1KphBDirTkffWFeNGNetGNuNGNeNGNeNGNe1DEXxaNTETtz5kz8+OOPGDFihL7jUZE/02HRokU4cOAAGjZsiMuXLyMoKAhGRkaYN2+e1PfVF0JOTg5kMpnWsefMmYOvvvpKrT02NvatWeFAqVQiOTkZQgj+6eYlzItmzIt2zI1mzItmzItmzIu61NTU0g6hXNOpiE1ISED//v31HYsae3t7GBsbY8CAAWjYsCEAwNfXF0OGDMHvv/+OefPmwcnJCQDw7NkzlX1jYmKkbZpMmzYNH3/8sfQ4JSUFrq6usLe3f2vmpSiVSshkMtjb2/MD4yXMi2bMi3bMjWbMi2bMi2bMizoTE5PSDqFc06mI9fPzw5UrV9C0aVN9x6PC0NAQTZs2VfmzP5C3Fmz+3Fhra2v4+PggNDQU7777LoC8N8qRI0cwatQorWMrFAq1+bUAIJfL36o3l0wme+vOSR+YF82YF+2YG82YF82YF82YF1XMQ/HoVMR26tQJffv2xbRp01C9enW1P9sHBAToJTgA+PzzzxESEoLAwEA0a9YM586dw7p16zB79mypz2effYb33nsPLVq0QJMmTTB//nxkZmZizJgxeouDiIiIiMoOnYrYTz/9FAAwduxYjdv1uWpXQEAANm3ahP/+97+YMGEC3Nzc8N1332HkyJFSn379+uHFixeYN28enj17hjp16uDIkSNwdHTUWxxEREREVHboVMS+6aVlu3Xrhm7duhXYZ9iwYRg2bNgbioiIiIiIShMnYxARERFRucMiloiIiIjKHRaxRERERFTusIglIiIionKHRSwRERERlTtFXp1gy5YtRR60b9++OgVDRERERFQURS5iP/zwQ5XH+bd5NTU1BQC8ePECAFCpUiUWsURERERUooo8neDp06fSz5QpU9CsWTNcv34d6enpSE9Px/Xr19GsWTNMnTq1JOMlIiIiItJtTuyyZcuwceNG+Pj4SG0+Pj7YuHEjli1bprfgiIiIiIg00amIjYyMhEKhUGtXKBSIjIwsdlBERERERAXRqYht0qQJxowZg5iYGKnt2bNnGDNmDJo2baq34IiIiIiINNGpiF21ahUePHgAZ2dnVKtWDVWrVoWLiwsePnyIVatW6TtGIiIiIiIVRV6d4GXVq1fHlStXEBoaips3bwIAvL29ERAQAJlMptcAiYiIiIhepVMRCwByuRyBgYEIDAzUZzxERERERIXS+Y5dERERmDdvHkaPHi217d+/H1lZWXoJjIiIiIhIG52K2NOnT8PHxwd//PEHVq5cKbUfPnwYK1as0FtwRERERESa6FTETp48GfPnz8eJEydU2ocNG4YffvhBL4EREREREWmj05zYq1ev4uDBgwCg8kUuDw8P3L9/Xz+RERERERFpodOVWFNTU8THx6u1X716FQ4ODsUOioiIiIioIDoVsd27d8eUKVPw4sUL6Urs1atXMXLkSPTq1UuvARIRERERvUqnIvabb75BVFQUKlasCKVSCUdHR9SrVw+2traYNWuWvmMkIiIiIlKh05xYa2trnDhxAseOHcPFixehVCrh5+fHmx0QERER0RuhUxHr4uKCx48fo02bNmjTpo3GbUREREREJUWn6QRRUVEa27OzsxETE1OsgIiIiIiICvNaV2L37t2r8d8AoFQqcfbsWVStWlU/kRERERERafFaRezLKw+8ugqBkZERPDw8sGjRIr0ERkRERESkzWsVsRkZGQA475WIiIiISpdOc2JZwBIRERFRadJpdQIACA8Px7lz55CQkKC2bfz48cUKioiIiIioIDoVsWvXrsWoUaNQsWJF2NjYqG1nEUtEREREJUmnInbmzJn48ccfMWLECH3HQ0RERERUKJ2K2ISEBPTv31/fsWgUHx+P1NRUlTZjY2M4OTmp9c3IyEBSUhIcHBwgl+s03ZeIiIiIygGdKj0/Pz9cuXJFz6Fo9vnnn6N27dpo3bq19DN06FCVPkqlEh988AGsra1Rq1YtODk5Yfv27W8kPiIiIiJ684p8Jfbw4cPSvzt16oS+ffti2rRpqF69OmQymUrfgIAA/UUIoEOHDgUWpfPnz8emTZtw8eJF1K5dG8uXL0e/fv3g5eWF2rVr6zUWIiIiIip9RS5iAwMD1drGjh2rsa8QQveItIiJiYGFhQVMTU3Vti1btgwjRoyAj4+PFNfChQuxatUq3nyBiIiI6C1U5OkEQogi/+jbzp074enpCSsrKzRs2BAXLlyQtsXExODRo0do2rSpyj7NmjVT6UdEREREbw+d14l9Uxo1aoRx48ahTp06eP78OcaNG4egoCDcuHEDjo6OiI2NBQBUrFhRZT87OzucPn1a67iZmZnIzMyUHqekpADIm1+rVCpL4EzePKVSCSHEW3M++sK8aMa8aMfcaMa8aMa8aMa8qGMuikenInbLli1atykUClStWhV169bVOaiXvfwlLnNzc6xYsQI7duzAjh07MH78eGkVgpycHJX9srOzYWBgoHXcOXPm4KuvvlJrj42NlW6vW94plUokJydDCMHVGl7CvGjGvGjH3GjGvGjGvGjGvKh7dfUlej06FbEffvghnj17BgAwNTWFTCZDeno6AMDS0hIpKSnw8/PD/v374eDgoL9oAZiYmMDR0REPHz4EALi4uAAAnj59qtLv6dOncHZ21jrOtGnT8PHHH0uPU1JS4OrqCnt7e1haWuo15tKiVCohk8lgb2/PD4yXMC+aMS/aMTeaMS+aMS+aMS/qTExMSjuEck2nInbKlCn47bffsHz5cnh5eQEAbt68iffffx89evRAjx498N577+GTTz7Bxo0bixWgUqlUebFHR0cjIiIC1apVAwBYWFjAz88PBw8eRJ8+fQDkXYUNDQ3FBx98oHVchUIBhUKh1i6Xy9+qN5dMJnvrzkkfmBfNmBftmBvNmBfNmBfNmBdVzEPx6JS9ZcuW4aeffpIKWADw9vbGhg0bsGzZMri5uWHZsmU4cuRIsYLLzMxEkyZN8Ouvv+LGjRvYv38/OnfuDDc3NwwcOFDqN336dGzcuBE//PADLl26hPfeew8GBgYYM2ZMsY5PRERERGWTTkVsZGQkjI2N1doVCgUiIyMBAE5OTnjx4kWxglMoFFi9ejX27t2Lvn37Ys6cOejQoQP+/vtvWFhYSP26deuGLVu2YOvWrejXrx8yMzNx4sQJ2NnZFev4RERERFQ26TSdIH/FgB9//FGa8xoTE4P3338fjRo1AgAcP34crVq1KnaAderUwYYNGwrt17NnT/Ts2bPYxyMiIiKisk+nInbVqlXo3r07nJ2d4ebmBiEEIiMjUbNmTezatQsA8ODBAyxcuFCvwRIRERERAToWsTVr1sT169fx559/IiwsDDKZDJ6enggMDJQmKU+cOFGvgRIRERER5dP5ZgdyuRxBQUEICgrSZzxERERERIUqchG7e/duAEBISIj0b21CQkKKERIRERERUcGKXMTmL2n1/PlzleWtNHn+/HnxoiIiIiIiKkCRi9iXC1MWqURERERUmnirCCIiIiIqd3QuYiMiIjBv3jyMHj1aatu/fz+ysrL0EhgRERERkTY6FbGnT5+Gj48P/vjjD6xcuVJqP3z4MFasWKG34IiIiIiINNGpiJ08eTLmz5+PEydOqLQPGzYMP/zwg14CIyIiIiLSRqd1Yq9evYqDBw8CAGQymdTu4eGB+/fv6ycyIiIiIiItdLoSa2pqivj4eLX2q1evwsHBodhBEREREREVRKcitnv37pgyZQpevHghXYm9evUqRo4ciV69euk1QCIiIiKiV+lUxH7zzTeIiopCxYoVoVQq4ejoiHr16sHW1hazZs3Sd4xERERERCp0mhNrbW2NEydO4NixY7h48SKUSiX8/PwQEBCgMkeWiIiIiKgk6FTEzps3D61bt0aLFi3Qpk0bfcdERERERFQgnaYT7Nq1C82bN4eNjQ06dOiAefPm4dy5c8jJydF3fEREREREanQqYs+ePYvExET8+uuveOedd7Bz506VopaIiIiIqCTpNJ0AAMzNzdGhQwfUr18f9evXx549e7B582aEhobqMz4iIiIiIjU6XYndvn07xo8fj9q1a8PV1RWLFy+Gm5sb9u/fj6SkJD2HSERERESkSqcrse+++y7s7OzwySefYNy4cbCwsNB3XEREREREWul0JXb58uVo27YtFi1aBDc3N3Tr1g0LFy7ElStXoFQq9R0jEREREZEKnYrY999/H1u3bsXTp09x+vRpBAcH4+TJk/D394e9vb2+YyQiIiIiUqHzF7tyc3Nx6dIlHDt2DEePHsVff/0FAPDw8NBXbEREREREGul0JbZz586wtbVFkyZNsGXLFnh5eeGXX35BfHw8/v77b33HSERERESkQqcrsZ6enhg9ejRatmwJKysrfcdERERERFQgnYrYb7/9Vt9xEBEREREVmU7TCYiIiIiIShOLWCIiIiIqd1jEEhEREVG5wyKWiIiIiMqdclXEPn/+HBcvXkRkZKTG7TExMfjnn3+Qnp7+hiMjIiIiojepXBWxgwYNQsOGDbFgwQKV9qysLAwYMABubm7o0qULHBwcsGrVqlKKkoiIiIhKWrkpYr///nukpqaiTp06attmzZqFo0eP4u7du3jw4AHWrFmD0aNH88YLRERERG+pclHEXr16FXPmzMFPP/0EmUymtn316tUYMWIEXF1dAQB9+vSBl5cX1qxZ86ZDJSIiIqI3oMwXsWlpaejbty8WL14MZ2dnte1PnjzBkydP0KBBA5X2Ro0a4dKlS28qTCIiIiJ6g3S6Y9ebNH78eDRp0gS9evXSuD0+Ph4AULFiRZV2Ozs7aZsmmZmZyMzMlB6npKQAAJRKJZRKZXHDLhOUSiWEEG/N+egL86IZ86Idc6MZ86IZ86IZ86KOuSieMl3E7tu3D7t27cLu3btx8eJFAMCLFy8QExODixcvwt/fH0ZGRgCgUpDm98vfpsmcOXPw1VdfqbXHxsYiIyNDj2dRepRKJZKTkyGEgFxe5i+6vzHMi2bMi3bMjWbMi2bMi2bMi7rU1NTSDqFcK9NF7PPnz1G9enVMmjRJaouMjERSUhLu3LmDc+fOwcXFBTKZDNHR0Sr7RkdHw83NTevY06ZNw8cffyw9TklJgaurK+zt7WFpaan/kykFSqUSMpkM9vb2/MB4CfOiGfOiHXOjGfOiGfOiGfOizsTEpLRDKNfKdBHbu3dv9O7dW6WtXr16aN26NRYtWgQAqFChAho3bow//vgDAwYMAJB3FTY0NBSff/651rEVCgUUCoVau1wuf6veXDKZ7K07J31gXjRjXrRjbjRjXjRjXjRjXlQxD8VTpovYovr6668RHByMWrVqoUmTJli8eDGsra0xevTo0g6NiIiIiEpAufsVoHbt2mrTBNq1a4eDBw/i6tWr+Oqrr+Dq6oqTJ0++NdMCiIiIiEhVubsSu2nTJo3tbdu2Rdu2bd9wNERERERUGsrdlVgiIiIiIhaxRERERFTusIglIiIionKHRSwRERERlTssYomIiIio3GERS0RERETlDovYciwiIgK9e/dGgwYNkJycXNrhlGmbN2/G4sWLSzsMIiIi0hMWseXYjBkzULVqVSxfvhwVKlQo7XDKtGfPniEyMhIAsHPnTixZsqRY4/3666+YP3++PkIjIiIiHZS7mx3Q/7tz5w4mTpwIPz+/0g6lXGnRogU8PDyKNUZMTAwiIiL0ExARERG9Nl6JLUNGjx6Nbdu2YdCgQRg1ahQA4MmTJxg7dixatWqFIUOG4M6dO1Lfq1evYtCgQRgwYECBfQHA398fhw4dQkhICJYvXw4AuHDhAvr164fWrVtj8uTJ0pSEv//+G6NHj8ayZcsQEBCAESNGICEhQRrr/Pnz6N+/Pxo1agR/f3/ExMQUOJ4m2sY4cOAAQkJCEBQUhB9++AFCCGkfbdvy4126dCkCAgJw/vx5CCGwePFitGvXDuPGjUNKSoo0zl9//YWdO3cCyJtmMHfuXPznP/9BmzZtMG3aNGRnZwMADh06BH9/fzRs2BDdu3fH0aNHAQCPHz/G/Pnz8euvv8Lf3x+zZs0CAOzatQshISFo164d5s+fj5ycHI3nnn/Mzz77DC1atEBycjJycnLw7bffon379ujcuTN2794t9T927Bi6deuGhg0bwt/fX3pes7Oz8e233yIoKAj+/v6YMmWKymsj30cffYQzZ84AQIHHISIiKlcECSGESE5OFgBEcnJyqcXQqlUrUadOHbF3715x69YtkZGRIfz8/MTKlSvFqVOnxLJly0T16tVFdna2uHXrlvDy8hKbNm0SN27c0No3MjJS5ObmCgCiV69e4tixYyIqKkqEhYWJunXrip07d4qTJ0+K8ePHi379+gkhhDh69KgwMjIS06dPF8ePHxc9e/YUEydOFEII8c8//whra2uxdOlScfbsWXHhwgWRlZVV4Hiv0jbGxYsXha2trdiwYYPYt2+fqFWrlliyZIkQQhS4LT/ezz//XJw5c0akpKSIVatWCS8vL7Fv3z6xfv16YWtrKz755BMhhBA//PCDGDRokMjNzRULFy4UlpaWYsWKFeLIkSOifv36Yu3atUIIIRISEsSFCxfE+fPnxdatW4W7u7uIiYkRGRkZYvLkyaJ3797iwoUL4uHDh2LHjh0iICBAHDhwQBw9elR07txZzJs3T+P5L1y4UJibm4vly5eL8+fPi+zsbDFhwgQxYcIEceLECfH7778LT09PcebMGaFUKoW9vb345ZdfxPnz58WFCxdEenq6EEKIMWPGiGbNmon9+/eLCxcuiPDwcOl19Ndff0nH69Spk9i/f78QQmg9jhBC5ObmiidPnojc3FwdX8FvL+ZGM+ZFM+ZFM+ZFXVmoPcozTicoYz777DN06tQJQN6VwHv37mHFihXS9sePH+PevXvw9PSEmZkZvL294e3trbXvgwcP4OTkBABYunQpKleuDAD4/vvvERcXh9mzZwPIu0L39OlTaV8vLy989dVXAAADAwN89tlnAICff/4Zw4cPx/jx41Xi3rBhQ4HjvUzbGFu3bsWoUaMwaNAgaYy5c+diwoQJBW4DgKpVq0pXRPPHmjNnDjp06AAAuHLlitach4SESFe+hw4dKvWVy+XYtm0bzp8/j9TUVCQlJeHatWto164d3NzckJ6eDn9/fwDAmDFjEBERgc8//xwAkJKSguzsbHz66acaj9mpUye8//77AAAhBNauXYtatWrh9OnTAICkpCQcO3YMjRo1grGxMR48eIBq1aqhfv36kMvlEELgp59+wu3bt+Hi4qL13F5W0HEaN25cpDGIiIjKChaxZUx+kQnkFRje3t5YunSpSh93d3e1/TT1VSqVsLe31zp2SEgI3nvvPanN0PD/Xw42NjbSvxUKBTIzMwEAycnJqFKlisbjFzTey7SNkZqaiurVq0uP7e3tpWkABW179dzy+9vZ2UmP7ezskJiYqDEebec6ZcoUJCUl4T//+Q+srKwwYcIEvHjxQuMYSUlJGD9+PJo2bSq1WVhYaOz7aryZmZnIyMjA4sWLYWJiIrU7OTlBJpPhyJEjWLFiBd5//30kJibiwIEDcHd3R2ZmJhwcHNTGlslkKtMw8qc1FHQcIiKi8oZzYsuwhg0bIiwsDHK5HP7+/tKPqalpsfoCQPPmzXH06FFUqVJF6luvXr1CY2rWrBk2b96sNt/1dcbTNoa/vz927NiBjIwMAHlXdxs0aFDoNk38/f2xadMmAEB6ero0B/Z1hIeHo2fPnmjXrh2sra1x8+ZNaZuZmRmeP3+ucv6hoaHw8fGRzr9WrVpFOo6JiQn8/Pxw8uRJlecuv7isWbMmFixYgEuXLqFly5b4448/YGJiAl9fX/z4449q41WuXBnXrl0DAERFReHChQtFOg4REVF5wiK2DPPw8MCSJUsQEBAAb29v+Pv7o2XLlkXu27p1a61j9+vXDwEBAahSpQrq1q0Lf39/fPTRR4XG1L9/f/j7+8PV1RW+vr7Sl7JeZzxtYwwZMgSVK1eGq6srPDw8cOrUKcycORMACtymyeeff47jx4/Dw8MDnp6eOhVqo0aNwrBhw+Dj44OOHTuiWrVq0rZWrVrh999/R7169TBr1ixMnz4dQgg4OTnBz88P/v7+0hfoimLdunX4+eef4erqKhWX58+fR3x8vPTY09MTJ0+eRPfu3QEAq1evxpIlS6RfHPK/2DV27Fh8/vnnqF27NkJCQlRWYtB2HCIiovJGJl7+u+O/WEpKCqysrJCcnAxLS8sSOYYQAjKZTOv227dvw8nJSe3P0FlZWQgPD0daWhoMDAzg6+sLAAgLC4OHh4fK1daX+8pkMjg7O8PBwQGXLl2S5m++LDU1Fffv30d2djasra1RvXp1pKamIjo6WrqSmJ6ejkePHsHT01PaLzExEQ8fPkRubi7q1q0LIyMjreNpo22MJ0+e4MWLF6hSpYpavjRtezXefLm5ubh//z5cXV2RkpKCrKwsuLi4SGvG+vn5IS4uDpmZmXB1dQUAxMXFIT09HW5ubgCA+Ph4JCYmomrVqnjw4AHs7OxgZWUlHffBgwewsrKSpnjExcXh0aNHUCqVcHJy0lg8x8TEqBwznxACjx49QlxcHIQQqFWrFkxNTaU5upaWlqhWrRoMDAykfZRKJR48eIDExETY2tqiatWqAPJez8+ePUP16tURHh4OBwcH6XWt6TgWFhZQKpWIiYmBg4MD5HL+fvsy5kYz5kUz5kUz5kXdm6g93mYsYv+nJF5IQghcjkzCxjMROHTjKdKzcmFmbID2tStjUBN3+LpaF1jUFhc/MDRjXjRjXrRjbjRjXjRjXjRjXtSxiC0efrGrhGTnKjF1xzXsuBQFA7kMucq83xXSsnLx+9Vo7LochZ5+zpjb8x0YGfDNTERERPQ6WMSWACEEpu64hp2XowBAKmDz5T/O3/7tu3VL9IosERER0duGlwBLwOXIJOy4FIXCJmoIAey4FIUrkUlvJC4iIiKitwWL2BKw8UwEDORFu7JqIJdh45mIEo6IiOjt9s8//2DChAmYPn16aYdSLFu3bsW+ffv0Pu7cuXORlZWl93GJShOL2BJw6MZTtSkE2uQqBQ7e1HxnKyIiKpru3bvDyckJTZo0Ke1QMH/+fKSnp+u07+XLl7Fs2TI8f/4cO3fuLHSN6+3bt+O3334rdFwWsfQ2YhGrZ0IIpGflvtY+6Zm54CIRRES6SUtLQ2JiIqZNmybdaro0zZ8/X+vd/V5H9erVC1ymEMi7pfb169eLfSyi8ohf7NIzmUwGM2MDpL1GIWumMOAXu4iI/ic7OxujR4/GRx99hI0bN6JZs2bo1q0bIiMjsXr1auzbtw/jxo3DoEGDoFQq0bhxY6SlpWHgwIFQKpX47rvv8PPPP+Po0aOoXLkyWrRogUGDBsHAwACrVq3C7t27YWVlhaysLPz3v/9F9erV8c0332D//v2wtbXFhAkT0LZtWwB5N2cJCgpCaGgoHj58iNGjR2PAgAEAgLt37+KHH37AhQsXkJ6ejuDgYDRo0ADp6emYPn06oqOjUbduXeTm5uKrr77CwYMHUblyZXTo0AHff/894uLiYG5ujhcvXuDp06fw8/NTycO9e/ewc+dOfPvtt9i8eTMOHz4MKysryOVyjB8/Hra2tti0aRMyMzNx4MABjB8/HjY2Nti4cSNkMhnS0tLg7++PIUOGAAB27NgBGxsbPHnyBFeuXEFgYCB69OiBuXPnYvDgwfjhhx9w+/ZtmJqawtHREX5+foiMjISxsTEiIyORlZWFkJAQGBgY4OzZs3jx4gU8PT3Rt29fAMCmTZtw5coV3L59G48fP8aBAweQnp6Ob775BjKZDBYWFmjatCmePn2KUaNG4erVq1i7di0uXbqEtLQ0TJ8+HSEhIQDyplWcOHECycnJaN++PQYPHoxPP/0Un3zyCSpVqgQAmD59OkaMGCGt671lyxb89ddfsLS0xPDhwwv9BYDKPxaxJaB97cr4/Wp0kaYUGMhlCPKu/AaiIiIqH3Jzc/HTTz8hKioKPXv2RLVq1RAZGYng4GAMHjwYf//9NzZv3oywsDDMmTMHd+7cgampKYKDgzFmzBjcvXsXDx48gK2tLe7du4fHjx8jLCwMiYmJ2LdvH+Li4lCzZk2EhITAxsYGzZo1w/Xr19G4cWOcPHkSJ06cwM8//4wOHTpg586d2L59O3x9fZGSkoKhQ4eiSpUqcHNzQ4MGDZCVlYUmTZrAxcUFzZo1Q1ZWFnJzc3Hq1Cn4+fmhevXqmDJlCk6ePImOHTtKBVi+w4cP48iRI3j33Xdx9epVbNq0CVlZWXj+/DmuXbuG7du34+HDh3j8+DGUSiXMzMzwn//8B46OjpgxYwbS09Nha2uLjIwMzJ07F5s2bUJwcDC+++47PHv2DMePH8fvv/+OjIwMXL16FVu2bMHQoUPh7e2NMWPGoHLlypg7dy7WrVuHyMhIvPvuu2jdujXmzJmDmJgYpKam4uDBg2jatCm6du0q/eIwZMgQmJiYSOfx4sULfPTRR0hKSkKDBg2kOwVOnjwZJ06cwH//+188efIEI0aMgIuLCwYNGoT27dvD2NgYHh4ecHZ2xtdffy0Vx0ePHsWoUaNgbW0t3cjm999/x6hRo6Qc7tu3Dz169ICbmxs+/vhjREVFoX379nj69Cnatm2Lc+fOwdHR8c28aKlUsIgtAYOauGPX/5bPKkyuUmBQE/cSjoiIqHxRKpVYu3YtnJ2dAQCfffYZFAqF9KdzExMT7Ny5E/PmzYOhoSFMTEwwcOBAjB8/Ht7e3sjNzYWnpye2bduGGjVqYOvWrUhLS8OKFSswdepUXL16FTKZDDdu3MDff/+NNm3awN7eHpaWlti9ezd+/fVXaWpC165dsX37duTk5KBChQo4evQoWrZsiezsbCxduhTDhw9Xi71GjRqwsbHBlStXIJPJUK1aNSxYsEDqM2DAAOzatQurVq1C27ZtERsbi02bNuH+/fs4fvy4ynjz58/H+PHjMWTIEHz22Wfo0aMHoqKi8Mcff8DLywuGhoZo2bIlli9fjrS0NNy+fRt37txB165dceDAAcyYMQMdO3YEAPTo0QOzZ88GAERFReHUqVMAAAMDA/z888/o0aMHVq9eDUtLS3h4eGDNmjVwcHDA8ePHpZsUWFhY4D//+Q/Mzc2lGDds2IAKFSqgW7duWLVqFYC8wva3335DxYoVcfToUQghIJfLkZKSgoyMDLx48QKWlpZo3rw5FAoFvL29sXLlSqSlpSEyMhIODg5Feq28ePECP/zwA959910cPXpUOp8jR45IV83p7cQ5sSXA19UaPf2cUdgMAZkM6OnnjHqu1m8kLiKi8kKhUEgFLJBXcNWpUwfBwcEAgHfffRdz587VuG9WVhbq1KmDjh07wsLCAsHBwRgwYAC8vLxgZmaGqlWrSlO4Hj58CLlcjjZt2iA4OBg9evSAlZUVAgMDpfFq164NADA0NIRCoUBiYiKaNWsGAwMDfPrpp6hVq5ZKgapUKuHv74+goCAEBwfD2NgYY8eOlbanpKSgbt26OHToEJ4/fw4bGxskJCQAAKpVq6Z2Pl5eXli/fj1OnTqFFy9eoGnTpggNDUWFChVU+o0ZMwYLFizAvn374O7ujo4dO8LS0hL29vZQKBQAABcXF6m/ubk50tLSAOTdRjv/1uJ3796VCtTU1FRUrVoVnTp1QnBwMKZNm4bKlStLX6I7cOAAACA8PBxOTk4q8T99+hSGhoawtbVFcHAwgoKCMHjwYJibm8PGxgYBAQGIi4vDwoULsXXrVsjlcgwaNAhWVlYaC9hXp93lf5fk6dOnMDY2RnBwsPTz9ddfo2HDhmpj0NuFRWwJkMlkmNvzHfTwzfsAfnW5rfzHPXzz7tjF+bBERAWrW7cuoqKi0K9fP5ibm6Nz587o2bMnHj16pLYSgI+Pj9TXzMwMvXr1wuDBgxEWFqbW18PDA0IIaU5tmzZtkJGRgW7duhUYj1wuR6tWrfDpp59i+/btWLhwIa5duwYAMDIyQmZmJgYOHIiBAwfC2NgYTZs2lfa9du0anJ2dsWXLFjRu3BhGRkYAgJycHJw4cULj8erUqYOtW7fC0dERrVu3xtGjR5GSkoLmzZujefPm+PLLL/Hll1/ixo0bmDp1qrQtNjYWDx48QGZmZoHnU7t2bezduxfA/xfSX375JVq2bIkWLVpg586dGDhwIMaOHYtjx44hLi4On3/+Ofr37w8g70to0dHRKmO6ubnB0NBQJRcuLi7SNITg4GDUrVsXKSkpcHR0RJ06dfDdd98hJycH586dU4vR1tYWjx49AgDExcXh7t27KsdxdXWVjjNw4EDUqFGjwHOm8o/TCUqIkYEc375bFwMbu2PjmQgcvPkU6Zm5MFMYIMi7MgY1cUc9V2sWsERERTB27Fjs3bsXXl5esLa2Rs2aNVGnTh0IIWBoqPpf2fDhwxEaGgovLy8kJCRg3LhxaNWqFbp3744PPvgAhoaG+PLLL9GxY0c0bNgQrVu3xjfffIM1a9YgNTUV1apVw+nTp1Wuxr7qn3/+gZubG2bPno3FixcjMTERa9euxaJFi1CvXj2sX78ev//+O5o2bYr09HQcPXoU3bt3BwB4enri9u3bGDVqFExNTbFp0yZYWFjA398fBgYGGo83evRopKWlIT4+Hps2bcLKlSthb2+PdevWITk5Gbt27YKXlxc6deqESZMmITc3V5pqMHPmTOlKrDZffvklevXqhT/++ANOTk64ffs2mjdvjtq1a2PhwoXYsGEDGjdujOjoaLi4uKBKlSq4cuUK6tWrBwAYNGgQ/vOf/2DVqlV4/vw5DA0NMXbsWKxcuRIDBgyAk5MTLCwsEBMTAw8PDzx69AhHjx7F9evXUblyZenqeUZGBpYtW4YOHTqgWbNmsLKykr7YNWDAAPTr1w/NmzdHdHQ0rKysAORNHVi9ejW6d++Oxo0bw9bWFkDesmIvX3mmtw+L2BIkk8ng62YDXzcbAHl/+mDRSkRU8OehkZER1q1bp9JmYmKCI0eO4MKFCwgLC8OJEydgZWWFTz/9FCtWrJD+FD516lRYW1tLfZcsWYJWrVqhVq1amDhxIjZv3owjR46ojL1//37p2/BWVlbw8fGBu3vedxVGjRqlclV29OjR6NmzJwDA3t4e48ePl/4Un7/Pzp07sWLFCkRERKB58+aQyWQq35S3s7PD2bNnsWfPHulq7qZNmzBp0iQkJydj06ZNMDc3R48ePZCYmAgTExO0a9cOWVlZMDQ0xKeffgpvb290794dvXv3xu7du/Ho0SPY2tpizpw56Ny5MxITExEdHY1//vkH77//Pvbu3Yt27drBzMxMiiMkJARKpRImJiaoV68ewsLCcObMGcTGxqJv377IycnB7du3MW7cOGRnZ6Nu3bq4dOkSsrKyYGxsjN69e6NHjx4AAFNTU+zduxfHjx9HRkYGcnPzVujp27cvvL298cMPP0Aul8PR0RFWVlawsLBAp06d0KFDB9y6dQuGhoaQy+XSPi1btsSFCxeQmpoqfbFr7NixaNSoEZ4+fYrmzZvj9OnTUs579uwp7ZM/NcPCwqJoL0Yqt2SCC5QCyJujZGVlheTkZFhaWpZ2OHqhVCoRExMjTcanPMyLZsyLdsyNZq+TFyEELkcmYeOZCBy68RTpWbkwMzZA+9qVMaixGwSAn88+Ut/WxB2+5eyvVny9aMa8qHsba483qVxcic3JyUFYWBieP3+OmjVromLFihr7hYWF4dmzZ/Dy8lJbxoSIiEpHdq4SU3dcw45LUTCQy6TlB9OycvH71WhpNRe5DMhfmfDlbT398r4/YGTAwoeI/l+Z/0TYunUrPD098d577+HDDz+Ei4sLPv74Y5U+aWlpCAoKQtOmTTF58mR4eHho/dYqERG9OUIITN1xDTv/V6i+un72y49fXVo7f9vOy1GYuuMa72xIRCrK/JXYzMxMnD59Wlpu4+zZs2jSpAnat28vLbUyffp03LlzB3fv3oWdnR0OHjyI4OBg6VubRERUOi5HJmHHpaKtm62NEMCOS1EY2Nhd+o4BEVGZvxI7ePBglfXifH19YWhoiNjYWKltw4YNGD58OOzs7AAAQUFB8PX1xU8//fTG4yUiov+38UyE2jKDujCQy7DxTIQeIiKit0WZvxIL5K0Hd/HiRaSkpGD9+vVo2rSp9O3Qx48fIy4uDr6+vir7+Pr64urVq1rHzMzMVFk3LyUlBUDexHOlUlkCZ/HmKZVKCCHemvPRF+ZFM+ZFO+ZGs6Lk5fCNJxBKZbGvmAilwJ83n0CpfKeYI5U8vl40Y17UMRfFUy6K2IiICCxatAhxcXF4+PAhvvzyS2mZkKSkJACQ1oXLV7FiRSQmJmodc86cOfjqq6/U2mNjY5GRkaG/4EuRUqlEcnKydKs/ysO8aMa8aMfcaFZYXoQQcK+QA1FBw846kCEHz549K/MrFfD1ohnzoi41NbW0QyjXykURW79+fenWdhcuXEDLli1haWmJwYMHw9jYGEDevZNflp6eLm3TZNq0aSpfEEtJSYGrq6t07+y3gVKphEwmg729PT8wXsK8aMa8aMfcaFaUvESkGSItK1cvx6ugMCgXK8/w9aIZ86Iu/+5lpJtyUcS+rEGDBmjQoAFCQ0MxePBguLq6wsDAAJGRkSr9Hj9+DA8PD63jKBQKjXcwkcvlb9WbSyaTvXXnpA/Mi2bMi3bMjWaF5SWgtiN+vxqttirB6zKQyxDo7Vhu8s/Xi2bMiyrmoXjKdPZyc3PVLrVnZGTg/v370m/jpqamaNmyJXbv3i31SU5OxuHDh6XVC4iIqHQMauJe7AIWyFtua1ATdz1ERERvizJ9JTY7OxuNGjVC//794e3tjaSkJKxZswZCCEycOFHq99///hetW7fGhAkT0KRJEyxfvhyurq4YPnx4KUZPRES+rtbo6eeMnZejoOsyrzIZ0MPXGfVcrfUaGxGVb2X6SqyJiQn++usvyOVybN68GSdOnEDv3r1x69YtuLi4SP0aN26MM2fOIDMzE1u3bkWrVq1w6tQplXtEExHRmyeTyTC35zvo4esMAGrLbb38+NWVuPK39fDNu2NXWf9CFxG9WWX6SiyQt8rAZ599Vmg/X19frFy58g1EREREr8PIQI5v362LgY3dsfFMBA7efIr0zFyYKQwQ5F0ZAxu7AxD4+ewjtW2Dmrijnqs1C1giUlPmi1giIir/ZDIZfN1spDtuCSHUClM/d1ut24iIXlWmpxMQEdHbqaAilQUsERUFi1giIiIiKndYxBIRERFRucMiloiIiIjKHRaxRERERFTusIglIiIionKHRSwRERERlTtcJ/Z/xP/uh5iSklLKkeiPUqlEamoqTExMIJfz95V8zItmzIt2zI1mzItmzItmzIu6/JpD6HpP5n85FrH/k5qaCgBwdXUt5UiIiIjo3yQ1NRVWVlalHUa5IxMs/wHk/YYYHR0NCwuLt2ah7ZSUFLi6uiIyMhKWlpalHU6Zwbxoxrxox9xoxrxoxrxoxryoE0IgNTUVTk5OvDqtA16J/R+5XA4XF5fSDqNEWFpa8gNDA+ZFM+ZFO+ZGM+ZFM+ZFM+ZFFa/A6o5lPxERERGVOyxiiYiIiKjcYRH7FlMoFJgxYwYUCkVph1KmMC+aMS/aMTeaMS+aMS+aMS+kb/xiFxERERGVO7wSS0RERETlDotYIiIiIip3WMQSERERUbnDdWLLkYyMDNy8eRPm5uaoWbNmkfZJS0vDnTt3ULFiRbi5ualsy8rKwvnz59X28fb2hq2trV5ifhOEELh58yZycnJQu3ZtGBoW/WX98OFDPH78GD4+PrC2ttbbuGXFw4cPERcXB09PT5ibmxd5v/j4eISFhcHNzU3ldXP79m3Exsaq9LWyskKdOnX0FvObEBsbi4cPH8Ld3R0ODg4F9n3y5AnCw8PV2ps3b16sccuitLQ03Lp1C7a2tqhSpUqBfZ8/f44rV66otdetWxcWFhZF7lMe5Obm4p9//oGBgQG8vb2LvCh9UlISwsPDUaNGDY3rouo6blly9+5dpKamwtvbGyYmJkXaJyMjA2FhYahcuTIcHR1Vtl2/fh3JyckqbXZ2dvD09NRbzPQWEVQu7NmzR9ja2opq1aoJa2tr0bBhQ/H06VOt/ePi4sSwYcOEra2t8PPzEzY2NsLPz0/cunVL6hMZGSkACD8/P9GsWTPp58SJE2/ilPTi9u3bwtPTUzg4OAhXV1fh7OwsTp8+XaR9nz17JpycnAQAsX//fr2NWxakpqaKoKAgUaFCBVGrVi1RoUIFsW7duiLtm5OTI1q0aCHkcrmYMWOGyrY+ffqISpUqqbxexowZo/8TKEGTJk0SCoVCeHt7C4VCISZMmCCUSqXW/kuXLhWmpqYq59ysWbNij1vWbNiwQZibm4uaNWsKc3NzERAQIJKTk7X2v3DhggAgGjdurJKXGzduvFafsu7ChQvCzc1NuLi4iEqVKonq1asXGn9mZqYYPXq0MDU1FX5+fsLV1VXMmzev2OOWJc+ePRONGzcW1tbWonr16sLGxkb89ttvhe63aNEiYWlpKby9vUX16tXFoEGDRGZmprS9VatWwtXVVeX18p///KckT4XKMRax5cDTp0+Fubm5+O9//yuEECI9PV00aNBAdOnSRes+169fF1u3bhW5ublCCCEyMjJEmzZtRKtWraQ++UVsWFhYicZfknx9fUWXLl1ETk6OEEKI0aNHCycnJ/HixYsC91MqlSI4OFhMmTJFYxGr67hlxfvvvy9q1Kgh4uPjhRBCrFu3ThgYGIibN28Wuu8XX3whevfuLdzd3TUWscOHDy+JkN+In3/+WZiamoq///5bCCHE1atXhZmZmVizZo3WfZYuXSpq1aql93HLklu3bglDQ0Oxdu1aIYQQCQkJokaNGmLkyJFa98kvUBMTE4vVpyzLzMwU7u7u0ms+NzdXdO/eXdSuXbvAX1BGjBgh3N3dxf3794UQQmRnZ4sVK1YUe9yyJCQkRPj7+4u0tDQhhBBz5swRZmZm4smTJ1r3Wb16tVAoFCI0NFRq++WXX0RCQoL0uFWrVuLzzz8vucDprcIithxYsmSJMDc3VymgtmzZIuRyuXj27FmRx/nss89E9erVpcf5ReyBAwfE33//XeBVl7Lo0qVLAoA4e/as1BYZGSlkMpnYtWtXgfvOmzdPBAYGiujoaLUitjjjlgVZWVnC3NxcLFq0SKXdzc1NTJkypcB9jx49Ktzd3UViYqLWIrZfv37iwoUL4sGDB+XmP9x8bdu2Fb169VJp69u3r8Yrq/mWLl0qqlevLq5duyZu3rwpsrKy9DJuWfLZZ58JFxcXlbZFixYJMzMzkZGRoXGf/AL1woUL4vLly+L58+c69SnL9u3bJwCIBw8eSG0XL14UAMSZM2c07vPgwQMhl8vFL7/8otdxy5LY2Fghl8vFli1bpLYXL14ICwsLsXDhQo375ObmCmdnZzFx4sQCx27VqpWYMGGCOH/+vIiMjNRn2PQWKn8TcP6FLl++jNq1a6vMN2rYsCGUSiWuXr1a4L5Xr17F8ePHsXz5cqxZswZffvmlWp/33nsPgwcPhp2dHYYOHYq0tDR9n0KJuHz5MgDAz89PanNxcYGjo6O0TZPz589j4cKFWL9+PWQymd7GLSvu3r2L58+fo379+irt/v7+BcYfFxeHwYMHY/369Wrzg1+2Y8cODB8+HP7+/qhevTqOHTump8hL3uXLl9Xy0rBhw0Kf1/DwcPTu3RvBwcGws7PDjz/+qJdxywpt8aenp+POnTsF7tujRw/069cPNjY2+PDDD5GTk6NTn7Lo8uXLqFixIjw8PKQ2Pz8/GBgYaH1ujx49CiEEOnXqhIiICFy9elXtM1WXccuSa9euQalUqrxmTExMUKdOHa3x3759G1FRUejSpQvi4uJw6dIlxMfHa+y7atUqjBw5Ej4+PnjnnXdw6dKlEjkPKv9YxJYDCQkJqFixokpb/uOEhIQC9126dCkmT56MadOmoUGDBmjTpo20zcTEBNu3b8eTJ0/wzz//4OrVq9i/fz8+/fRT/Z9ECUhISIClpSWMjIxU2itWrKg1LykpKejXrx+WLVsGJycnvY1bluTHqOk1U1D8Q4cORf/+/dG6dWutfXr27ImnT5/i6tWrePLkCdq3b4/u3bvjyZMneom9JAkhkJSUpDEv6enpyMzM1Lifj48Pbt26hbCwMERERGDRokUYM2YMDh06VKxxyxJdPmNsbGxw+PBhPHr0CGFhYTh58iTWrFmDOXPmvFafskxTXmQyGWxtbbXmJTo6GtbW1vjggw/QokULDBw4EA4ODvjmm2+KNW5ZostnTHR0NABgz5498PHxwfDhw+Hi4oIhQ4YgOztb6jdy5EjExcXhypUriI6ORq1atdCtWzekpqaW0NlQecYithwwMjJCRkaGStuLFy8AAMbGxgXuu3r1apw/fx7R0dGQyWQIDg6G+N9N2uzs7NCzZ0+pr5eXFz788ENs2bJFz2dQMjTlBcjLjba8TJ06FU5OTrC3t8fJkyel1Rlu3LiBf/75R+dxy5L84lvTa0Zb/Bs2bMCFCxfQvn17nDx5EidPnkRmZiYePXqEM2fOSP3effdd2NjYSMdZuHAhnj9/jgMHDpTQ2eiPTCaDoaGh1vfSq7+05GvdurXKaiBDhw5Fo0aNsHXr1mKNW5bo8hlTrVo1tGvXTnrcsGFDDB8+XOXzoyh9yjJdPguMjIyQmJgIc3NzRERE4Pr169i8eTOmTJmC48eP6zxuWaLLZ0z+PpcvX8b9+/dx+fJlXLt2Db/99hu+++47qd+AAQNQoUIFAICZmRkWLlyIx48f4+TJkyVxKlTOlb81g/6F3N3dcf36dZW2qKgoAFBbNksbMzMzjBs3DsHBwYiKioKLi4vGfpUqVUJCQgIyMjKKvFxKaXF3d0dWVhbi4uJgZ2cHIG/JmmfPnmnNi4WFBYQQmDp1KgBIVwDWrVuHx48fY+HChTqNW5a4u7sDyHuN+Pr6Su1RUVEFxl+9enVMnz5depyYmIjDhw/j8ePH0lXHV5mYmMDS0lJ6PZZ1bm5uarHmvx9eZ3mjSpUqqYyjr3FLi7u7Ox4/fqzS9rqfMYB6XnTtU1a4u7sjJiYG2dnZUhGWkpKC58+fa81L/hSBUaNGSdOVunbtCicnJ/z1119o1aqVTuOWJS9/xry8RFZUVBR8fHw07pOfl0GDBsHMzAwAUKNGDbRr1w5//fUXpkyZonE/BwcHyGSycvOaoTer7H+6EgIDA3H79m2VuWm//fYb7O3tUbduXQBAZmYmTp48Kf0pR9O81nv37sHQ0BBWVlZa+xw6dAjVqlUr8wUsALRs2RLGxsb4/fffpbYjR44gNTUVgYGBUtuFCxfw8OFDAMC8efOkK40nT57Eb7/9BgD49ttvsXDhwtcat6yqXLkyfHx8VOKPj4/HqVOnVOK/deuW9MvR4MGDVfJy8uRJVK5cGcOGDZMK2JycHGRlZakc69KlS0hISND6H1dZExgYiL1790p/jRBC4Pfff1fJS3R0tMpVn1ffJykpKTh37pzKORdl3LIsMDAQp0+fRlxcnNT222+/wcvLC87OzgCA1NRUnDx5UvqzrqbPjz///FMlL0XpU5YFBAQgMzMTf/75p9T222+/wdDQUGVq1qlTp6Qiq02bNjAyMlIputLS0pCUlAR7e/vXGresqlOnDipVqqTyGXPnzh2EhYWpvOavX7+OW7duAcj7ZcjT01PjL3v5ecnIyEBubq7K9j///BNCiHLzmqE3rLS+UUZFp1QqRdu2bUWdOnXEtm3bxMKFC4WxsbHKki0PHjwQAKRvz8+YMUMMGzZMbNmyRRw4cEDMmjVLmJubq3w7febMmWLw4MFi8+bNYs+ePWL48OHC0NBQ7Nix402fos6++OILYW1tLVatWiU2bdokXFxcxODBg1X6ODs7i08++UTj/k+ePNG4xFZRxi3L9uzZIwwMDMRXX30ldu3aJZo1aybq1Kmjsh5jz549C/z2/KurE8TFxQkfHx+xePFicfDgQbFs2TLh5OQkWrduLS1FVtY9ePBA2NjYiAEDBojff/9dDBkyRFhaWoq7d+9KfRYuXChe/mhs06aNmDFjhti7d6/45ZdfhL+/v3BxcRFRUVGvNW5ZlpmZKerWrSuaNm0qdu3aJWbOnCkMDAzE7t27pT5nzpxR+fb8hAkTxJgxY8T27dvF7t27Ra9evYSJiYk4duyYtE9R+pR1I0eOFE5OTmLjxo1i7dq1wtbWVnz66acqfQwMDMT8+fOlx1988YXw8PAQP//8s9i7d69o3769tOrH64xblq1Zs0YYGxuL7777Tmzfvl3UqVNHtGrVSmXFkmbNmomePXtKj/fs2SMsLS3FokWLxMGDB8XYsWOFQqEQly9fFkLkLfVWv359sXz5cnHw4EGxYMECYWtrK9599903fXpUTsiE+N+lAyrT0tLSsGDBAvz1118wNzfHoEGD0KNHD2n706dP0atXL8yZMwctWrSAEALbt2/Hb7/9hri4OLi5uaFPnz4q89Py++zevRuJiYmoUaMGxowZU67ujCKEwPr167Fjxw7k5OQgKCgI48ePV5mH2KNHD7Rr1w7jxo1T2z8hIQFdu3bFggUL0KhRo9cat6wLDQ3FihUrEB8fj/r162Pq1Kkqd2L74osvEB8fj2XLlmnc/91330WHDh0wbNgwqS0iIgLff/89rl+/Djs7O7Rt2xZDhgyBgYFBiZ+Pvty5cwfz589HeHg4qlSpgkmTJsHLy0vavm3bNixevFi6Gpuamoply5bh1KlTMDY2hp+fH8aPH692B6bCxi3rEhMTMW/ePFy8eBG2trYYOXKkylW1mzdvYtSoUVi5ciW8vb2Rm5uLjRs3Yv/+/UhLS4OnpycmTJgg/akZQJH6lHU5OTlYvnw59u3bB7lcjm7dumHEiBEq00Rat26N999/H3379pXaNmzYgB07diA7Oxu+vr746KOPpOlJRR23rNu9ezc2bNiA1NRUNGvWDJMnT5bmswLA2LFjUbFiRXz99ddS27Fjx7BixQrExcWhRo0amDhxosr/Obdu3cLy5ctx69YtVK5cGR07dkSfPn3e6HlR+cEiloiIiIjKnfLzKx8RERER0f+wiCUiIiKicodFLBERERGVOyxiiYiIiKjcYRFLREREROUOi1giIiIiKndYxBIRERFRucMiloiI6A2IjY3FH3/8gfj4+NIOheitwJsdEBERlbCnT5+iUaNG8PHxwc2bN3HhwgWVO3gR0evjlVj618nJycGWLVve+NWQ0jrumzx2RkYGtmzZguTk5GKNU5q5KivCw8Oxe/du7Nu3r7RD0YvU1FQcOnQIW7dufeuf19TUVOzYsUOl7fjx4xgwYAD++OMP9OrVCydOnFDZnpmZiV9//RW5ublvMlSics2wtAMgetMyMjLQr18/nDlzBhUrVnzrj/smj52UlIR+/frh+vXrsLKy0nkcfcX766+/QqlUAgAsLCxQo0YN1KxZU2u/zp07w9zcXGVbaGgoYmNj0aRJE7i7u0vtMTExuH79OnJyclC3bl1UrlxZ45gymQympqZwdHSEj48PTE1NC41706ZNGDt2LNq1a4cqVaqgY8eOupx+mREfH4+6devCw8MDLi4uqF+//ht/D7xJM2fORGpqKnr27Cm1NWjQAAsWLEDVqlVx7NgxfPDBByr7KBQKrFq1CnFxcRg7duybDpmofBJE/zKpqakCgDhz5sy/4rhCCJGRkSH69Okj7t69W6LHefLkiQAgrl+/Xqxx9BWvgYGBaNCggejTp4/o0KGDMDMzE927dxc5OTlq/QCIFStWqLQnJCQIU1NTAUBs3LhRap85c6YwMzMTLVq0EJ06dRJubm6iT58+IiUlReOxQ0JCxDvvvCMqVKggJkyYIJ4/f15g3K1btxbTp08v1rmXJevXrxdubm6lHcYbERUVJRQKhXj48KHati5dugi5XC569Oihcd/Q0FBhb28vMjIySjpMorcCr8QS/c+zZ89w7tw5GBsbo2nTprC0tFTrk5aWhrNnzyInJweNGzdWudq4Y8cOZGdnw8DAAG5ubvD19YWxsXGRj5+RkYHdu3ejQ4cOiIuLQ1hYGJydneHr6wsA+OeffxAeHg4vLy+1q4mFHdvAwAAhISGwsbFRO1ZCQgJu3rwJJycn6ViFKSgP+R48eKB13DcZ76hRozBixAgAwLVr1+Dr64sNGzZg6NChKv1atmyJNWvWYNSoUVLbpk2b0LBhQxw/flxqO3v2LKZPn47Dhw+jXbt2AAAhBLZv344XL17AwsJC47EB4PLly+jevTvu3r2L/fv3q8WqVCrx66+/Ijw8HG5ubtiyZQt8fHxQvXp16fyjoqJw69Yt1KtXD1WrVgWQ99q4e/cuKlWqhEaNGsHAwEAaMzw8HLdu3UJQUBCuXbuGx48fo379+nB2dkZ2djZOnz6NtLQ0NGrUqMCroy+Pc+bMGTx58gQhISEwNjaGEAKXLl1CZGQkqlSpgrp160r7nTlzBocPH4ZMJsOWLVtQoUIFdOnSRcqbtv2AvD/BW1lZwd3dHWfPnoWxsbGU8/T0dJw5cwaZmZl455134OLiopbHgIAAvHjxAtevX4e9vT0aNGigdl4vXrzA2bNnkZGRgUaNGsHW1lZle0HH0WTlypVo1qyZylV7IO9LXQcOHMDMmTPx9ddfIyEhQe1Ybdq0gUKhwLZt2zBw4MACj0NE4JVY+vfRdEV0xYoVwtTUVLRq1Ur4+/sLa2trcfDgQZX9fvvtN2FjYyPeeecdERQUJKpVqyb++usvafuQIUNEnz59RM+ePUWtWrVEzZo1xf379ws87svyr2K2atVKeHt7i44dOwqFQiHGjRsnhgwZIurUqSM6dOggFAqFWLlypcq+r3vs/GN16dJFeHp6ik6dOglLS0sxcuTIQvNXUB6KOu6bitfAwECsWrVKpc3V1VV88MEHav2WLVsmKlSooHIVuV69emLDhg0qV2JXrVol5HK52tXcohxbCCEOHjwoAIjjx4+rbcvKyhJ9+vQRVlZWwtfXV/Tp00ds27ZNOv9OnTqJGjVqiF69eokjR46InJwc0atXL2FtbS2Cg4OFi4uLqFevnnj69Kk05vLly4W9vb3w8fERbdq0EY0bNxYKhUKsWrVK+Pj4iHbt2gl/f39hZ2cnwsLCtJ5P/jgNGzYUzZs3l648P3v2TDRp0kRUrVpVdO3aVXh4eIg2bdpIV6UXL14s6tWrJ6ytrUWfPn3E+PHjhRCi0P2EECIoKEg0adJEVKlSRXTs2FHMmDFDCJF3xdLBwUE0adJEdOzYUVhbW4svv/xS2u/Fixcq+ercubOwtbUV7777rso5HT58WDg4OAgvLy8RHBwsqlSpIg4cOCBtL+w4mtSvX1/MmjVLrX3BggXCy8tLKJVKUa1aNbFkyRKN+w8cOFD06dOnwGMQUR4WsfSv82qB9PDhQ6FQKMT69eulPpMmTRLOzs4iLS1NCCFERESEMDExEXPnzpX6xMbGipMnT2o8hlKpFP379xd9+/bVetxX5RcqgwYNEkqlUgghxLp16wQAMWLECKlt6dKlwt7eXuv5FeXY+cfq37+/yM3NFUIIcfbsWQFA3L59W+vYheVBl3FLMt5XC8nk5GRhYmIiZs+erdZv48aN4r333hMfffSREEKICxcuCCsrK5Genq5SxF65ckXI5XIxbNgwcfXqVSmewo6dLycnR5iZmYmZM2dqjbt27dpi4cKF0uP88+/WrZtK8fzjjz8Ka2tr8eDBAyFEXt58fX3F0KFDpT7Lly8XAMS2bduktm7dugkAYs+ePVJbQEBAgb8U5I/z6jl17dpVDB48WIorMzNTtGzZUnzyySdSn/nz54u6deu+9n5BQUHC3Nxc5Rec+Ph4YW1trXI+9+7dE+bm5tIvU/lFbJcuXUR2drYQQoibN28KmUwmzp8/L4TIe91aWlqKadOmSeMkJSWJo0ePFvk4r8rNzRUGBgZi586datt8fHzE/PnzhRBCzJo1S9SrV0/jGPPmzRNVq1bVuI2IVHF1AvrX2717N+zs7DB48GCp7fPPP0dUVBROnjwJANi6dSusrKwwadIkqY+dnR2aNWumMtatW7ewd+9ebN26FXZ2djh//vxrxzNy5EjIZDIAQJMmTQDk/Vn65bbY2FgkJSUV+9ijR4+GXJ73MdCoUSOYmJjgzp07WvsXNQ9FGfdNxAsAFy5cwJYtW7Bq1Sp06NABTk5OKn/if9nw4cOxceNGZGdnY/Xq1ejXr5/aF7Hq1q2Lbdu24fz586hbty6srKzQqVMnjdMDNDEwMIC9vT1iY2OL1P9lY8eOVZkqsGXLFvTv3x8eHh4AAHNzc3zwwQfYunWryn62trbo1auX9LhJkyZwcnJC586dpbbGjRsXmssKFSpg+PDh0uP4+Hjs2bMHNWvWxK5du7Bt2zbs3r0bHh4eOHr0qNZxXme/Ll26oEqVKtLj3bt3S1/W27ZtG7Zt24a///4bbm5uavuOGDEChoZ5s+a8vLxQqVIl3L59GwCwa9cuKJVKzJgxQ+pvZWWF1q1bv/Zx8iUlJSE3N1eaBpPv3LlzuH37tvQZM3ToUFy/fh2XLl1SG8PGxgZxcXFac0dE/49zYulfLyIiAlWqVJGKRAD/197dhjT1xXEA/zqzERoM1GRGGWyg1AyRQsMHgrTmU+UaXSEoMorAyoyKCH1hvciIXkQveiAHgpnaLJ3QCytfqTnERgaZEeqMLJOMgcuHMP8vwvv36OY2y/7/4fcDvti59zzc4x3+POfcc6FSqRAaGgq73Q4AGBgYgEajEQKI2SYnJ7F37160t7dj69atUKlUGBwcxJcvX3xuz+w/gEql0m3a+Pj4b9c9d02eUqmUy21tbcWHDx/kY5IkeewHb8pdqva6Y7PZ4HA4MDw8jI6ODty9exdr1qxxeW5ycjJCQ0NRXV2NBw8e4Pnz5y7PMxgMMBgMGBwchNVqRUVFBTIzM/Hw4UMhWHRndHQUwcHBHs+bS61WC5/tdrsQiAKARqPB9+/fMTw8jPDwcACYF1QplUqXaZ76MiIiQvie2O12TE9Pw2q14vXr18K5iYmJbsvxJd/ca+7v74dCoYDZbBbSY2Nj561XXeh+GRgYwPr16+Xv01y+1DNjZmcLp9MppJtMJmi1WjQ3N8tpGo0GJpMJ8fHxwrlOp1NYV01E7jGIpWUvLCwMIyMjQtrU1BQcDoe8GblKpVpwb8vq6mrYbDb09/fLD4Tdu3cPNptt6Rq+xHV3dHSgvb1d/rx//36P/fBftted2Q9Xmc1m5OXlITo6Wh7lnis/Px8nT57Ehg0bsGXLlgXLjoyMRG5uLnJzcxEfH4+qqiqPQey7d+/w9etXxMXF+XwtswNIwPW9OzIygsDAQKhUKp/L97X+md/f2bNnkZqa6nU5vuRzVefMQ2K/w9O9vJh6Vq5ciaioKPT19clpY2NjqKmpQVJSEurr6+V0rVaLqqoqXL9+XQik+/r6EB0d7dvFEC1TXE5Ay15KSgq6u7vR3d0tp9XX10OhUMhPM+/cuRM9PT2wWq1C3pkp4c+fP0OtVgs7Gszd7HypLFXdp0+fRnV1tfyjUCg89sN/2V5vGI1G5OTk4NSpU5h287LCQ4cOQa/Xo6SkxOXxT58+YWJiQkj7+fMnJicnPQaOP378wLlz57B27Vrs3r17UdcwW3JyMhoaGuRpb+DX1HdCQgKCgoJ+u3xPtFottFotbt++Pe/Yx48f/3g+ANi1axe+ffuG2tpaIX18fNynf7DS09MxNDSEpqYmIX3mXl5sPTt27EBra6v82Ww2Y8WKFbBYLML3yWKxQKFQ4PHjx0L+1tZWpKWleX0dRMsZR2Jp2UtJSYHRaIRer8eZM2fgdDpRVlaGCxcuyNOGKSkpOHbsGPR6PQoLC6FWq9HY2AiDwYD8/HxkZmaiuLgYJ06cQFxcHBobG4VRzKX0N+v21A//t/a6cuXKFeh0OtTW1kKSpHnHIyIiFhx9s9lsKCgowJ49e7Bx40ZMTU2hrq4Odrsd9+/fF87t6OhASEgIJicn0dvbi5qaGoyPj8NisXj10gNPLl68iJqaGuj1ehiNRlitVpjNZmHaeqmVl5cjKysLOTk5yM7OhsPhwJMnT5CWlobi4uI/ni82NhYlJSU4ePAgXrx4AZ1Oh97eXtTV1aGystLrlyhs3rwZ58+fh8FgQGFhIaKiotDU1ISkpCQUFRUtup6jR48iPT0do6OjCAkJgclkQnZ29rwlOIGBgcjKyoLJZEJeXh6AX9uYdXV1wWKxeHUNRMsdR2Jp2QkKCoIkScJ7y6uqqlBaWopXr17BbrejsrISpaWlQr47d+6goqICQ0ND6OrqQkFBgRy46XQ6tLW1ISAgQB5JaWhoEKaWXdU726pVqyBJkjCaFxwcDEmShDVyKpUKkiTJQdBi6nZVFwDs27cP69atW7D/FuoHb8r9m+2VJAkajUZIi4mJQVlZmbAWU5Ik+eEod+XMHM/MzITVaoVGo0FnZye6urqQkZGB9+/fC/ucSpIEh8OBhoYGNDc3Y2JiAmVlZejp6Zm3DnKujIwMYUrZ3fWHhYXBZrMhNTUVLS0tCA0NRWdnp7BUQqvVzls3Gx0djYyMDCFt06ZNSE9Pd9smV+UAv/bXffPmDRISEtDW1oaRkRFcvnxZCERjYmKg1+t9zrd9+3aXewFfunQJT58+RUBAAFpaWrB69Wo8e/ZMXv4RGBgISZLkNcEzcnJyhPvh6tWrePToERwOB16+fIkDBw6gqKjI63pcSUxMxLZt21BeXg6n0wm1Wi08DDfbkSNHEB4ejrGxMQDAzZs3cfjwYURGRrotn4j+FTDtbk6NiIiIfPb27VvcunULN27c8DrPxMQEjh8/jmvXrrn9R5eIRAxiiYiIiMjvcDkBEREREfkdBrFERERE5HcYxBIRERGR32EQS0RERER+h0EsEREREfkdBrFERERE5HcYxBIRERGR32EQS0RERER+h0EsEREREfkdBrFERERE5HcYxBIRERGR3/kH9wLdedBnE/sAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 700x450 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "\n",
       "<div class=\"tmol-switchable-view\" id=\"tmol-switch-78a5de5c65f849f9a5628f3ba7197a9d\" style=\"max-width:720px\">\n",
       "  <label>Structure: <select id=\"tmol-switch-78a5de5c65f849f9a5628f3ba7197a9d-select\"><option value=\"0\">reference</option><option value=\"1\">perturbed input</option><option value=\"2\">unconstrained rescue</option><option value=\"3\">reference coordinate rescue</option><option value=\"4\">reference distance rescue</option></select></label>\n",
       "  <div style=\"position:relative;width:100%;height:452px\">\n",
       "    \n",
       "<section id=\"tmol-switch-78a5de5c65f849f9a5628f3ba7197a9d-panel-0\" class=\"tmol-switch-panel\"\n",
       "         style=\"position:absolute;inset:0;visibility:visible\">\n",
       "  <div class=\"tmol-viewer-note\">Unperturbed eight-residue reference</div>\n",
       "  <div id=\"3dmolviewer_1788520608561551\"  style=\"position: relative; width: 720px; height: 420px;\">\n",
       "        <p id=\"3dmolwarning_1788520608561551\" style=\"background-color:#ffcccc;color:black\">3Dmol.js failed to load for some reason.  Please check your browser console for error messages.<br></p>\n",
       "        </div>\n",
       "<script>\n",
       "\n",
       "var loadScriptAsync = function(uri){\n",
       "  return new Promise((resolve, reject) => {\n",
       "    //this is to ignore the existence of requirejs amd\n",
       "    var savedexports, savedmodule;\n",
       "    if (typeof exports !== 'undefined') savedexports = exports;\n",
       "    else exports = {}\n",
       "    if (typeof module !== 'undefined') savedmodule = module;\n",
       "    else module = {}\n",
       "\n",
       "    var tag = document.createElement('script');\n",
       "    tag.src = uri;\n",
       "    tag.async = true;\n",
       "    tag.onload = () => {\n",
       "        exports = savedexports;\n",
       "        module = savedmodule;\n",
       "        resolve();\n",
       "    };\n",
       "  var firstScriptTag = document.getElementsByTagName('script')[0];\n",
       "  firstScriptTag.parentNode.insertBefore(tag, firstScriptTag);\n",
       "});\n",
       "};\n",
       "\n",
       "if(typeof $3Dmolpromise === 'undefined') {\n",
       "$3Dmolpromise = null;\n",
       "  $3Dmolpromise = loadScriptAsync('https://cdn.jsdelivr.net/npm/3dmol@2.5.5/build/3Dmol-min.js');\n",
       "}\n",
       "\n",
       "var viewer_1788520608561551 = null;\n",
       "var warn = document.getElementById(\"3dmolwarning_1788520608561551\");\n",
       "if(warn) {\n",
       "    warn.parentNode.removeChild(warn);\n",
       "}\n",
       "$3Dmolpromise.then(function() {\n",
       "viewer_1788520608561551 = $3Dmol.createViewer(document.getElementById(\"3dmolviewer_1788520608561551\"),{backgroundColor:\"white\"});\n",
       "viewer_1788520608561551.zoomTo();\n",
       "\tviewer_1788520608561551.addModel(\"MODEL 1\\nATOM      1  N   MET A   1      27.340  24.430   2.614  0.00  0.00\\nATOM      2  CA  MET A   1      26.266  25.413   2.842  0.00  0.00\\nATOM      3  C   MET A   1      26.913  26.639   3.531  0.00  0.00\\nATOM      4  O   MET A   1      27.886  26.463   4.263  0.00  0.00\\nATOM      5  CB  MET A   1      25.112  24.880   3.649  0.00  0.00\\nATOM      6  CG  MET A   1      25.353  24.860   5.134  0.00  0.00\\nATOM      7  SD  MET A   1      23.930  23.959   5.904  0.00  0.00\\nATOM      8  CE  MET A   1      24.447  23.984   7.620  0.00  0.00\\nATOM      9  HA  MET A   1      25.864  25.717   1.875  0.00  0.00\\nATOM     10  HB2 MET A   1      24.227  25.486   3.461  0.00  0.00\\nATOM     11  HB3 MET A   1      24.886  23.861   3.332  0.00  0.00\\nATOM     12  HG2 MET A   1      26.298  24.359   5.342  0.00  0.00\\nATOM     13  HG3 MET A   1      25.421  25.882   5.505  0.00  0.00\\nATOM     14  HE1 MET A   1      23.700  23.479   8.233  0.00  0.00\\nATOM     15  HE2 MET A   1      25.405  23.472   7.719  0.00  0.00\\nATOM     16  HE3 MET A   1      24.552  25.017   7.954  0.00  0.00\\nATOM     17  H1  MET A   1      26.961  23.619   2.168  0.00  0.00\\nATOM     18  H2  MET A   1      28.043  24.834   2.029  0.00  0.00\\nATOM     19  H3  MET A   1      27.746  24.169   3.490  0.00  0.00\\nATOM     20  N   GLN A   2      26.335  27.770   3.258  0.00  0.00\\nATOM     21  CA  GLN A   2      26.850  29.021   3.898  0.00  0.00\\nATOM     22  C   GLN A   2      26.100  29.253   5.202  0.00  0.00\\nATOM     23  O   GLN A   2      24.865  29.024   5.330  0.00  0.00\\nATOM     24  CB  GLN A   2      26.733  30.148   2.905  0.00  0.00\\nATOM     25  CG  GLN A   2      26.882  31.546   3.409  0.00  0.00\\nATOM     26  CD  GLN A   2      26.786  32.562   2.270  0.00  0.00\\nATOM     27  OE1 GLN A   2      27.783  33.160   1.870  0.00  0.00\\nATOM     28  NE2 GLN A   2      25.562  32.733   1.806  0.00  0.00\\nATOM     29  H   GLN A   2      25.549  27.828   2.627  0.00  0.00\\nATOM     30  HA  GLN A   2      27.898  28.870   4.158  0.00  0.00\\nATOM     31  HB2 GLN A   2      27.488  30.028   2.128  0.00  0.00\\nATOM     32  HB3 GLN A   2      25.757  30.107   2.422  0.00  0.00\\nATOM     33  HG2 GLN A   2      26.089  31.748   4.128  0.00  0.00\\nATOM     34  HG3 GLN A   2      27.856  31.647   3.889  0.00  0.00\\nATOM     35 HE21 GLN A   2      24.801  32.218   2.200  0.00  0.00\\nATOM     36 HE22 GLN A   2      25.395  33.378   1.059  0.00  0.00\\nATOM     37  N   ILE A   3      26.849  29.656   6.217  0.00  0.00\\nATOM     38  CA  ILE A   3      26.235  30.058   7.497  0.00  0.00\\nATOM     39  C   ILE A   3      26.882  31.428   7.862  0.00  0.00\\nATOM     40  O   ILE A   3      27.906  31.711   7.264  0.00  0.00\\nATOM     41  CB  ILE A   3      26.344  29.050   8.645  0.00  0.00\\nATOM     42  CG1 ILE A   3      27.810  28.748   8.999  0.00  0.00\\nATOM     43  CG2 ILE A   3      25.491  27.771   8.287  0.00  0.00\\nATOM     44  CD1 ILE A   3      27.967  28.087  10.417  0.00  0.00\\nATOM     45  H   ILE A   3      27.854  29.691   6.121  0.00  0.00\\nATOM     46  HA  ILE A   3      25.168  30.210   7.336  0.00  0.00\\nATOM     47  HB  ILE A   3      25.964  29.500   9.562  0.00  0.00\\nATOM     48 HG12 ILE A   3      28.235  28.081   8.250  0.00  0.00\\nATOM     49 HG13 ILE A   3      28.388  29.672   8.977  0.00  0.00\\nATOM     50 HG21 ILE A   3      25.563  27.047   9.098  0.00  0.00\\nATOM     51 HG22 ILE A   3      24.449  28.056   8.147  0.00  0.00\\nATOM     52 HG23 ILE A   3      25.872  27.325   7.368  0.00  0.00\\nATOM     53 HD11 ILE A   3      29.022  27.896  10.615  0.00  0.00\\nATOM     54 HD12 ILE A   3      27.571  28.760  11.178  0.00  0.00\\nATOM     55 HD13 ILE A   3      27.418  27.147  10.443  0.00  0.00\\nATOM     56  N   PHE A   4      26.214  32.097   8.771  0.00  0.00\\nATOM     57  CA  PHE A   4      26.772  33.436   9.197  0.00  0.00\\nATOM     58  C   PHE A   4      27.151  33.362  10.650  0.00  0.00\\nATOM     59  O   PHE A   4      26.350  32.778  11.395  0.00  0.00\\nATOM     60  CB  PHE A   4      25.695  34.498   8.946  0.00  0.00\\nATOM     61  CG  PHE A   4      25.288  34.609   7.499  0.00  0.00\\nATOM     62  CD1 PHE A   4      24.147  33.966   7.038  0.00  0.00\\nATOM     63  CD2 PHE A   4      26.136  35.346   6.640  0.00  0.00\\nATOM     64  CE1 PHE A   4      23.812  34.031   5.677  0.00  0.00\\nATOM     65  CE2 PHE A   4      25.810  35.392   5.267  0.00  0.00\\nATOM     66  CZ  PHE A   4      24.620  34.778   4.853  0.00  0.00\\nATOM     67  H   PHE A   4      25.358  31.764   9.192  0.00  0.00\\nATOM     68  HA  PHE A   4      27.654  33.652   8.592  0.00  0.00\\nATOM     69  HB2 PHE A   4      24.809  34.264   9.535  0.00  0.00\\nATOM     70  HB3 PHE A   4      26.059  35.470   9.276  0.00  0.00\\nATOM     71  HD1 PHE A   4      23.523  33.417   7.744  0.00  0.00\\nATOM     72  HD2 PHE A   4      27.054  35.813   6.998  0.00  0.00\\nATOM     73  HE1 PHE A   4      22.936  33.500   5.306  0.00  0.00\\nATOM     74  HE2 PHE A   4      26.451  35.884   4.536  0.00  0.00\\nATOM     75  HZ  PHE A   4      24.350  34.921   3.808  0.00  0.00\\nATOM     76  N   VAL A   5      28.260  33.943  11.096  0.00  0.00\\nATOM     77  CA  VAL A   5      28.605  33.965  12.503  0.00  0.00\\nATOM     78  C   VAL A   5      28.638  35.461  12.900  0.00  0.00\\nATOM     79  O   VAL A   5      29.522  36.103  12.320  0.00  0.00\\nATOM     80  CB  VAL A   5      29.963  33.317  12.814  0.00  0.00\\nATOM     81  CG1 VAL A   5      30.211  33.394  14.304  0.00  0.00\\nATOM     82  CG2 VAL A   5      29.957  31.838  12.352  0.00  0.00\\nATOM     83  H   VAL A   5      28.880  34.382  10.431  0.00  0.00\\nATOM     84  HA  VAL A   5      27.849  33.405  13.054  0.00  0.00\\nATOM     85  HB  VAL A   5      30.745  33.862  12.284  0.00  0.00\\nATOM     86 HG11 VAL A   5      31.173  32.937  14.537  0.00  0.00\\nATOM     87 HG12 VAL A   5      30.220  34.438  14.618  0.00  0.00\\nATOM     88 HG13 VAL A   5      29.420  32.862  14.832  0.00  0.00\\nATOM     89 HG21 VAL A   5      30.922  31.384  12.574  0.00  0.00\\nATOM     90 HG22 VAL A   5      29.171  31.296  12.877  0.00  0.00\\nATOM     91 HG23 VAL A   5      29.774  31.793  11.278  0.00  0.00\\nATOM     92  N   LYS A   6      27.751  35.867  13.740  0.00  0.00\\nATOM     93  CA  LYS A   6      27.691  37.315  14.143  0.00  0.00\\nATOM     94  C   LYS A   6      28.469  37.475  15.420  0.00  0.00\\nATOM     95  O   LYS A   6      28.213  36.753  16.411  0.00  0.00\\nATOM     96  CB  LYS A   6      26.219  37.684  14.307  0.00  0.00\\nATOM     97  CG  LYS A   6      25.884  39.139  14.615  0.00  0.00\\nATOM     98  CD  LYS A   6      24.348  39.296  14.642  0.00  0.00\\nATOM     99  CE  LYS A   6      23.865  40.723  14.749  0.00  0.00\\nATOM    100  NZ  LYS A   6      22.375  40.720  14.907  0.00  0.00\\nATOM    101  H   LYS A   6      27.087  35.218  14.137  0.00  0.00\\nATOM    102  HA  LYS A   6      28.141  37.914  13.350  0.00  0.00\\nATOM    103  HB2 LYS A   6      25.678  37.436  13.394  0.00  0.00\\nATOM    104  HB3 LYS A   6      25.784  37.096  15.115  0.00  0.00\\nATOM    105  HG2 LYS A   6      26.311  39.414  15.580  0.00  0.00\\nATOM    106  HG3 LYS A   6      26.318  39.782  13.850  0.00  0.00\\nATOM    107  HD2 LYS A   6      23.923  38.876  13.729  0.00  0.00\\nATOM    108  HD3 LYS A   6      23.942  38.752  15.495  0.00  0.00\\nATOM    109  HE2 LYS A   6      24.336  41.203  15.605  0.00  0.00\\nATOM    110  HE3 LYS A   6      24.149  41.272  13.851  0.00  0.00\\nATOM    111  HZ1 LYS A   6      22.042  41.671  14.979  0.00  0.00\\nATOM    112  HZ2 LYS A   6      21.952  40.275  14.105  0.00  0.00\\nATOM    113  HZ3 LYS A   6      22.126  40.212  15.744  0.00  0.00\\nATOM    114  N   THR A   7      29.426  38.430  15.446  0.00  0.00\\nATOM    115  CA  THR A   7      30.225  38.643  16.662  0.00  0.00\\nATOM    116  C   THR A   7      29.664  39.839  17.434  0.00  0.00\\nATOM    117  O   THR A   7      28.850  40.565  16.859  0.00  0.00\\nATOM    118  CB  THR A   7      31.744  38.879  16.299  0.00  0.00\\nATOM    119  OG1 THR A   7      31.737  40.257  15.824  0.00  0.00\\nATOM    120  CG2 THR A   7      32.260  37.969  15.171  0.00  0.00\\nATOM    121  H   THR A   7      29.602  39.005  14.635  0.00  0.00\\nATOM    122  HA  THR A   7      30.152  37.751  17.284  0.00  0.00\\nATOM    123  HB  THR A   7      32.361  38.694  17.178  0.00  0.00\\nATOM    124  HG1 THR A   7      30.843  40.606  15.869  0.00  0.00\\nATOM    125 HG21 THR A   7      33.310  38.189  14.978  0.00  0.00\\nATOM    126 HG22 THR A   7      32.156  36.926  15.469  0.00  0.00\\nATOM    127 HG23 THR A   7      31.680  38.147  14.266  0.00  0.00\\nATOM    128  N   LEU A   8      30.132  40.069  18.642  0.00  0.00\\nATOM    129  CA  LEU A   8      29.607  41.180  19.467  0.00  0.00\\nATOM    130  C   LEU A   8      30.075  42.538  18.984  0.00  0.00\\nATOM    131  CB  LEU A   8      29.919  40.890  20.938  0.00  0.00\\nATOM    132  CG  LEU A   8      29.183  39.722  21.581  0.00  0.00\\nATOM    133  CD1 LEU A   8      29.308  39.750  23.095  0.00  0.00\\nATOM    134  CD2 LEU A   8      27.700  39.721  21.228  0.00  0.00\\nATOM    135  H   LEU A   8      30.862  39.480  19.017  0.00  0.00\\nATOM    136  HA  LEU A   8      28.528  41.234  19.328  0.00  0.00\\nATOM    137  HB2 LEU A   8      30.985  40.688  21.034  0.00  0.00\\nATOM    138  HB3 LEU A   8      29.684  41.778  21.525  0.00  0.00\\nATOM    139  HG  LEU A   8      29.617  38.783  21.235  0.00  0.00\\nATOM    140 HD11 LEU A   8      28.771  38.902  23.520  0.00  0.00\\nATOM    141 HD12 LEU A   8      30.360  39.689  23.374  0.00  0.00\\nATOM    142 HD13 LEU A   8      28.883  40.677  23.478  0.00  0.00\\nATOM    143 HD21 LEU A   8      27.213  38.871  21.706  0.00  0.00\\nATOM    144 HD22 LEU A   8      27.242  40.646  21.578  0.00  0.00\\nATOM    145 HD23 LEU A   8      27.583  39.645  20.147  0.00  0.00\\nATOM    146  O   LEU A   8      29.586  43.570  19.483  0.00  0.00\\nATOM    147  OXT LEU A   8      30.911  42.614  18.127  0.00  0.00\\nTER\\nENDMDL\\n\",\"pdb\");\n",
       "\tviewer_1788520608561551.setBackgroundColor(\"white\");\n",
       "\tviewer_1788520608561551.setStyle({},{\"cartoon\": {\"color\": \"spectrum\"}});\n",
       "\tviewer_1788520608561551.addStyle({\"not\": {\"hetflag\": true}},{\"stick\": {\"radius\": 0.08, \"opacity\": 0.55}});\n",
       "\tviewer_1788520608561551.setStyle({\"hetflag\": true},{\"stick\": {\"colorscheme\": \"orangeCarbon\", \"radius\": 0.22}});\n",
       "\tviewer_1788520608561551.setHoverable({},true,\"function(atom,viewer) {\\n        if(!atom.label) {\\n            atom.label = viewer.addLabel(\\n                atom.chain + ':' + atom.resn + '(' + atom.resi + '):' +\\n                atom.atom + '(idx' + atom.serial + ')',\\n                {position: atom, backgroundColor:\\\"white\\\", fontColor:\\\"black\\\"}\\n            );\\n        }\\n    }\",\"function(atom,viewer) {\\n        if(atom.label) {\\n            viewer.removeLabel(atom.label);\\n            delete atom.label;\\n        }\\n    }\");\n",
       "\tviewer_1788520608561551.zoomTo();\n",
       "viewer_1788520608561551.render();\n",
       "});\n",
       "</script>\n",
       "</section>\n",
       "<section id=\"tmol-switch-78a5de5c65f849f9a5628f3ba7197a9d-panel-1\" class=\"tmol-switch-panel\"\n",
       "         style=\"position:absolute;inset:0;visibility:hidden\">\n",
       "  <div class=\"tmol-viewer-note\">local main-chain RMSD 0.681 Å; distance error 0.241 Å; non-constraint score 104.79</div>\n",
       "  <div id=\"3dmolviewer_17885206085705676\"  style=\"position: relative; width: 720px; height: 420px;\">\n",
       "        <p id=\"3dmolwarning_17885206085705676\" style=\"background-color:#ffcccc;color:black\">3Dmol.js failed to load for some reason.  Please check your browser console for error messages.<br></p>\n",
       "        </div>\n",
       "<script>\n",
       "\n",
       "var loadScriptAsync = function(uri){\n",
       "  return new Promise((resolve, reject) => {\n",
       "    //this is to ignore the existence of requirejs amd\n",
       "    var savedexports, savedmodule;\n",
       "    if (typeof exports !== 'undefined') savedexports = exports;\n",
       "    else exports = {}\n",
       "    if (typeof module !== 'undefined') savedmodule = module;\n",
       "    else module = {}\n",
       "\n",
       "    var tag = document.createElement('script');\n",
       "    tag.src = uri;\n",
       "    tag.async = true;\n",
       "    tag.onload = () => {\n",
       "        exports = savedexports;\n",
       "        module = savedmodule;\n",
       "        resolve();\n",
       "    };\n",
       "  var firstScriptTag = document.getElementsByTagName('script')[0];\n",
       "  firstScriptTag.parentNode.insertBefore(tag, firstScriptTag);\n",
       "});\n",
       "};\n",
       "\n",
       "if(typeof $3Dmolpromise === 'undefined') {\n",
       "$3Dmolpromise = null;\n",
       "  $3Dmolpromise = loadScriptAsync('https://cdn.jsdelivr.net/npm/3dmol@2.5.5/build/3Dmol-min.js');\n",
       "}\n",
       "\n",
       "var viewer_17885206085705676 = null;\n",
       "var warn = document.getElementById(\"3dmolwarning_17885206085705676\");\n",
       "if(warn) {\n",
       "    warn.parentNode.removeChild(warn);\n",
       "}\n",
       "$3Dmolpromise.then(function() {\n",
       "viewer_17885206085705676 = $3Dmol.createViewer(document.getElementById(\"3dmolviewer_17885206085705676\"),{backgroundColor:\"white\"});\n",
       "viewer_17885206085705676.zoomTo();\n",
       "\tviewer_17885206085705676.addModel(\"MODEL 1\\nATOM      1  N   MET A   1      27.340  24.430   2.614  0.00  0.00\\nATOM      2  CA  MET A   1      26.266  25.413   2.842  0.00  0.00\\nATOM      3  C   MET A   1      26.913  26.639   3.531  0.00  0.00\\nATOM      4  O   MET A   1      27.886  26.463   4.263  0.00  0.00\\nATOM      5  CB  MET A   1      25.112  24.880   3.649  0.00  0.00\\nATOM      6  CG  MET A   1      25.353  24.860   5.134  0.00  0.00\\nATOM      7  SD  MET A   1      23.930  23.959   5.904  0.00  0.00\\nATOM      8  CE  MET A   1      24.447  23.984   7.620  0.00  0.00\\nATOM      9  HA  MET A   1      25.864  25.717   1.875  0.00  0.00\\nATOM     10  HB2 MET A   1      24.227  25.486   3.461  0.00  0.00\\nATOM     11  HB3 MET A   1      24.886  23.861   3.332  0.00  0.00\\nATOM     12  HG2 MET A   1      26.298  24.359   5.342  0.00  0.00\\nATOM     13  HG3 MET A   1      25.421  25.882   5.505  0.00  0.00\\nATOM     14  HE1 MET A   1      23.700  23.479   8.233  0.00  0.00\\nATOM     15  HE2 MET A   1      25.405  23.472   7.719  0.00  0.00\\nATOM     16  HE3 MET A   1      24.552  25.017   7.954  0.00  0.00\\nATOM     17  H1  MET A   1      26.961  23.619   2.168  0.00  0.00\\nATOM     18  H2  MET A   1      28.043  24.834   2.029  0.00  0.00\\nATOM     19  H3  MET A   1      27.746  24.169   3.490  0.00  0.00\\nATOM     20  N   GLN A   2      26.335  27.770   3.258  0.00  0.00\\nATOM     21  CA  GLN A   2      26.850  29.021   3.898  0.00  0.00\\nATOM     22  C   GLN A   2      26.100  29.253   5.202  0.00  0.00\\nATOM     23  O   GLN A   2      24.865  29.024   5.330  0.00  0.00\\nATOM     24  CB  GLN A   2      26.733  30.148   2.905  0.00  0.00\\nATOM     25  CG  GLN A   2      26.882  31.546   3.409  0.00  0.00\\nATOM     26  CD  GLN A   2      26.786  32.562   2.270  0.00  0.00\\nATOM     27  OE1 GLN A   2      27.783  33.160   1.870  0.00  0.00\\nATOM     28  NE2 GLN A   2      25.562  32.733   1.806  0.00  0.00\\nATOM     29  H   GLN A   2      25.549  27.828   2.627  0.00  0.00\\nATOM     30  HA  GLN A   2      27.898  28.870   4.158  0.00  0.00\\nATOM     31  HB2 GLN A   2      27.488  30.028   2.128  0.00  0.00\\nATOM     32  HB3 GLN A   2      25.757  30.107   2.422  0.00  0.00\\nATOM     33  HG2 GLN A   2      26.089  31.748   4.128  0.00  0.00\\nATOM     34  HG3 GLN A   2      27.856  31.647   3.889  0.00  0.00\\nATOM     35 HE21 GLN A   2      24.801  32.218   2.200  0.00  0.00\\nATOM     36 HE22 GLN A   2      25.395  33.378   1.059  0.00  0.00\\nATOM     37  N   ILE A   3      26.849  29.656   6.217  0.00  0.00\\nATOM     38  CA  ILE A   3      26.235  30.058   7.497  0.00  0.00\\nATOM     39  C   ILE A   3      26.882  31.428   7.862  0.00  0.00\\nATOM     40  O   ILE A   3      27.906  31.711   7.264  0.00  0.00\\nATOM     41  CB  ILE A   3      26.344  29.050   8.645  0.00  0.00\\nATOM     42  CG1 ILE A   3      27.810  28.748   8.999  0.00  0.00\\nATOM     43  CG2 ILE A   3      25.491  27.771   8.287  0.00  0.00\\nATOM     44  CD1 ILE A   3      27.967  28.087  10.417  0.00  0.00\\nATOM     45  H   ILE A   3      27.854  29.691   6.121  0.00  0.00\\nATOM     46  HA  ILE A   3      25.168  30.210   7.336  0.00  0.00\\nATOM     47  HB  ILE A   3      25.964  29.500   9.562  0.00  0.00\\nATOM     48 HG12 ILE A   3      28.235  28.081   8.250  0.00  0.00\\nATOM     49 HG13 ILE A   3      28.388  29.672   8.977  0.00  0.00\\nATOM     50 HG21 ILE A   3      25.563  27.047   9.098  0.00  0.00\\nATOM     51 HG22 ILE A   3      24.449  28.056   8.147  0.00  0.00\\nATOM     52 HG23 ILE A   3      25.872  27.325   7.368  0.00  0.00\\nATOM     53 HD11 ILE A   3      29.022  27.896  10.615  0.00  0.00\\nATOM     54 HD12 ILE A   3      27.571  28.760  11.178  0.00  0.00\\nATOM     55 HD13 ILE A   3      27.418  27.147  10.443  0.00  0.00\\nATOM     56  N   PHE A   4      27.014  31.497   9.171  0.00  0.00\\nATOM     57  CA  PHE A   4      27.572  32.836   9.597  0.00  0.00\\nATOM     58  C   PHE A   4      27.951  32.762  11.050  0.00  0.00\\nATOM     59  O   PHE A   4      27.150  32.178  11.795  0.00  0.00\\nATOM     60  CB  PHE A   4      26.495  33.898   9.346  0.00  0.00\\nATOM     61  CG  PHE A   4      26.088  34.009   7.899  0.00  0.00\\nATOM     62  CD1 PHE A   4      24.947  33.366   7.438  0.00  0.00\\nATOM     63  CD2 PHE A   4      26.936  34.746   7.040  0.00  0.00\\nATOM     64  CE1 PHE A   4      24.612  33.431   6.077  0.00  0.00\\nATOM     65  CE2 PHE A   4      26.610  34.792   5.667  0.00  0.00\\nATOM     66  CZ  PHE A   4      25.420  34.178   5.253  0.00  0.00\\nATOM     67  H   PHE A   4      26.158  31.164   9.592  0.00  0.00\\nATOM     68  HA  PHE A   4      28.454  33.052   8.992  0.00  0.00\\nATOM     69  HB2 PHE A   4      25.609  33.664   9.935  0.00  0.00\\nATOM     70  HB3 PHE A   4      26.859  34.870   9.676  0.00  0.00\\nATOM     71  HD1 PHE A   4      24.323  32.817   8.144  0.00  0.00\\nATOM     72  HD2 PHE A   4      27.854  35.213   7.398  0.00  0.00\\nATOM     73  HE1 PHE A   4      23.736  32.900   5.706  0.00  0.00\\nATOM     74  HE2 PHE A   4      27.251  35.284   4.936  0.00  0.00\\nATOM     75  HZ  PHE A   4      25.150  34.321   4.208  0.00  0.00\\nATOM     76  N   VAL A   5      29.060  33.343  11.496  0.00  0.00\\nATOM     77  CA  VAL A   5      29.405  33.365  12.903  0.00  0.00\\nATOM     78  C   VAL A   5      29.438  34.861  13.300  0.00  0.00\\nATOM     79  O   VAL A   5      30.322  35.503  12.720  0.00  0.00\\nATOM     80  CB  VAL A   5      30.763  32.717  13.214  0.00  0.00\\nATOM     81  CG1 VAL A   5      31.011  32.794  14.704  0.00  0.00\\nATOM     82  CG2 VAL A   5      30.757  31.238  12.752  0.00  0.00\\nATOM     83  H   VAL A   5      29.680  33.782  10.831  0.00  0.00\\nATOM     84  HA  VAL A   5      28.649  32.805  13.454  0.00  0.00\\nATOM     85  HB  VAL A   5      31.545  33.262  12.684  0.00  0.00\\nATOM     86 HG11 VAL A   5      31.973  32.337  14.937  0.00  0.00\\nATOM     87 HG12 VAL A   5      31.020  33.838  15.018  0.00  0.00\\nATOM     88 HG13 VAL A   5      30.220  32.262  15.232  0.00  0.00\\nATOM     89 HG21 VAL A   5      31.722  30.784  12.974  0.00  0.00\\nATOM     90 HG22 VAL A   5      29.971  30.696  13.277  0.00  0.00\\nATOM     91 HG23 VAL A   5      30.574  31.193  11.678  0.00  0.00\\nATOM     92  N   LYS A   6      27.751  35.867  13.740  0.00  0.00\\nATOM     93  CA  LYS A   6      27.691  37.315  14.143  0.00  0.00\\nATOM     94  C   LYS A   6      28.469  37.475  15.420  0.00  0.00\\nATOM     95  O   LYS A   6      28.213  36.753  16.411  0.00  0.00\\nATOM     96  CB  LYS A   6      26.219  37.684  14.307  0.00  0.00\\nATOM     97  CG  LYS A   6      25.884  39.139  14.615  0.00  0.00\\nATOM     98  CD  LYS A   6      24.348  39.296  14.642  0.00  0.00\\nATOM     99  CE  LYS A   6      23.865  40.723  14.749  0.00  0.00\\nATOM    100  NZ  LYS A   6      22.375  40.720  14.907  0.00  0.00\\nATOM    101  H   LYS A   6      27.087  35.218  14.137  0.00  0.00\\nATOM    102  HA  LYS A   6      28.141  37.914  13.350  0.00  0.00\\nATOM    103  HB2 LYS A   6      25.678  37.436  13.394  0.00  0.00\\nATOM    104  HB3 LYS A   6      25.784  37.096  15.115  0.00  0.00\\nATOM    105  HG2 LYS A   6      26.311  39.414  15.580  0.00  0.00\\nATOM    106  HG3 LYS A   6      26.318  39.782  13.850  0.00  0.00\\nATOM    107  HD2 LYS A   6      23.923  38.876  13.729  0.00  0.00\\nATOM    108  HD3 LYS A   6      23.942  38.752  15.495  0.00  0.00\\nATOM    109  HE2 LYS A   6      24.336  41.203  15.605  0.00  0.00\\nATOM    110  HE3 LYS A   6      24.149  41.272  13.851  0.00  0.00\\nATOM    111  HZ1 LYS A   6      22.042  41.671  14.979  0.00  0.00\\nATOM    112  HZ2 LYS A   6      21.952  40.275  14.105  0.00  0.00\\nATOM    113  HZ3 LYS A   6      22.126  40.212  15.744  0.00  0.00\\nATOM    114  N   THR A   7      29.426  38.430  15.446  0.00  0.00\\nATOM    115  CA  THR A   7      30.225  38.643  16.662  0.00  0.00\\nATOM    116  C   THR A   7      29.664  39.839  17.434  0.00  0.00\\nATOM    117  O   THR A   7      28.850  40.565  16.859  0.00  0.00\\nATOM    118  CB  THR A   7      31.744  38.879  16.299  0.00  0.00\\nATOM    119  OG1 THR A   7      31.737  40.257  15.824  0.00  0.00\\nATOM    120  CG2 THR A   7      32.260  37.969  15.171  0.00  0.00\\nATOM    121  H   THR A   7      29.602  39.005  14.635  0.00  0.00\\nATOM    122  HA  THR A   7      30.152  37.751  17.284  0.00  0.00\\nATOM    123  HB  THR A   7      32.361  38.694  17.178  0.00  0.00\\nATOM    124  HG1 THR A   7      30.843  40.606  15.869  0.00  0.00\\nATOM    125 HG21 THR A   7      33.310  38.189  14.978  0.00  0.00\\nATOM    126 HG22 THR A   7      32.156  36.926  15.469  0.00  0.00\\nATOM    127 HG23 THR A   7      31.680  38.147  14.266  0.00  0.00\\nATOM    128  N   LEU A   8      30.132  40.069  18.642  0.00  0.00\\nATOM    129  CA  LEU A   8      29.607  41.180  19.467  0.00  0.00\\nATOM    130  C   LEU A   8      30.075  42.538  18.984  0.00  0.00\\nATOM    131  CB  LEU A   8      29.919  40.890  20.938  0.00  0.00\\nATOM    132  CG  LEU A   8      29.183  39.722  21.581  0.00  0.00\\nATOM    133  CD1 LEU A   8      29.308  39.750  23.095  0.00  0.00\\nATOM    134  CD2 LEU A   8      27.700  39.721  21.228  0.00  0.00\\nATOM    135  H   LEU A   8      30.862  39.480  19.017  0.00  0.00\\nATOM    136  HA  LEU A   8      28.528  41.234  19.328  0.00  0.00\\nATOM    137  HB2 LEU A   8      30.985  40.688  21.034  0.00  0.00\\nATOM    138  HB3 LEU A   8      29.684  41.778  21.525  0.00  0.00\\nATOM    139  HG  LEU A   8      29.617  38.783  21.235  0.00  0.00\\nATOM    140 HD11 LEU A   8      28.771  38.902  23.520  0.00  0.00\\nATOM    141 HD12 LEU A   8      30.360  39.689  23.374  0.00  0.00\\nATOM    142 HD13 LEU A   8      28.883  40.677  23.478  0.00  0.00\\nATOM    143 HD21 LEU A   8      27.213  38.871  21.706  0.00  0.00\\nATOM    144 HD22 LEU A   8      27.242  40.646  21.578  0.00  0.00\\nATOM    145 HD23 LEU A   8      27.583  39.645  20.147  0.00  0.00\\nATOM    146  O   LEU A   8      29.586  43.570  19.483  0.00  0.00\\nATOM    147  OXT LEU A   8      30.911  42.614  18.127  0.00  0.00\\nTER\\nENDMDL\\n\",\"pdb\");\n",
       "\tviewer_17885206085705676.setBackgroundColor(\"white\");\n",
       "\tviewer_17885206085705676.setStyle({},{\"cartoon\": {\"color\": \"spectrum\"}});\n",
       "\tviewer_17885206085705676.addStyle({\"not\": {\"hetflag\": true}},{\"stick\": {\"radius\": 0.08, \"opacity\": 0.55}});\n",
       "\tviewer_17885206085705676.setStyle({\"hetflag\": true},{\"stick\": {\"colorscheme\": \"orangeCarbon\", \"radius\": 0.22}});\n",
       "\tviewer_17885206085705676.setHoverable({},true,\"function(atom,viewer) {\\n        if(!atom.label) {\\n            atom.label = viewer.addLabel(\\n                atom.chain + ':' + atom.resn + '(' + atom.resi + '):' +\\n                atom.atom + '(idx' + atom.serial + ')',\\n                {position: atom, backgroundColor:\\\"white\\\", fontColor:\\\"black\\\"}\\n            );\\n        }\\n    }\",\"function(atom,viewer) {\\n        if(atom.label) {\\n            viewer.removeLabel(atom.label);\\n            delete atom.label;\\n        }\\n    }\");\n",
       "\tviewer_17885206085705676.zoomTo();\n",
       "viewer_17885206085705676.render();\n",
       "});\n",
       "</script>\n",
       "</section>\n",
       "<section id=\"tmol-switch-78a5de5c65f849f9a5628f3ba7197a9d-panel-2\" class=\"tmol-switch-panel\"\n",
       "         style=\"position:absolute;inset:0;visibility:hidden\">\n",
       "  <div class=\"tmol-viewer-note\">local main-chain RMSD 0.565 Å; distance error 0.321 Å; non-constraint score 30.00</div>\n",
       "  <div id=\"3dmolviewer_17885206085786698\"  style=\"position: relative; width: 720px; height: 420px;\">\n",
       "        <p id=\"3dmolwarning_17885206085786698\" style=\"background-color:#ffcccc;color:black\">3Dmol.js failed to load for some reason.  Please check your browser console for error messages.<br></p>\n",
       "        </div>\n",
       "<script>\n",
       "\n",
       "var loadScriptAsync = function(uri){\n",
       "  return new Promise((resolve, reject) => {\n",
       "    //this is to ignore the existence of requirejs amd\n",
       "    var savedexports, savedmodule;\n",
       "    if (typeof exports !== 'undefined') savedexports = exports;\n",
       "    else exports = {}\n",
       "    if (typeof module !== 'undefined') savedmodule = module;\n",
       "    else module = {}\n",
       "\n",
       "    var tag = document.createElement('script');\n",
       "    tag.src = uri;\n",
       "    tag.async = true;\n",
       "    tag.onload = () => {\n",
       "        exports = savedexports;\n",
       "        module = savedmodule;\n",
       "        resolve();\n",
       "    };\n",
       "  var firstScriptTag = document.getElementsByTagName('script')[0];\n",
       "  firstScriptTag.parentNode.insertBefore(tag, firstScriptTag);\n",
       "});\n",
       "};\n",
       "\n",
       "if(typeof $3Dmolpromise === 'undefined') {\n",
       "$3Dmolpromise = null;\n",
       "  $3Dmolpromise = loadScriptAsync('https://cdn.jsdelivr.net/npm/3dmol@2.5.5/build/3Dmol-min.js');\n",
       "}\n",
       "\n",
       "var viewer_17885206085786698 = null;\n",
       "var warn = document.getElementById(\"3dmolwarning_17885206085786698\");\n",
       "if(warn) {\n",
       "    warn.parentNode.removeChild(warn);\n",
       "}\n",
       "$3Dmolpromise.then(function() {\n",
       "viewer_17885206085786698 = $3Dmol.createViewer(document.getElementById(\"3dmolviewer_17885206085786698\"),{backgroundColor:\"white\"});\n",
       "viewer_17885206085786698.zoomTo();\n",
       "\tviewer_17885206085786698.addModel(\"MODEL 1\\nATOM      1  N   MET A   1      27.340  24.430   2.614  0.00  0.00\\nATOM      2  CA  MET A   1      26.266  25.413   2.842  0.00  0.00\\nATOM      3  C   MET A   1      26.913  26.639   3.531  0.00  0.00\\nATOM      4  O   MET A   1      27.886  26.463   4.263  0.00  0.00\\nATOM      5  CB  MET A   1      25.112  24.880   3.649  0.00  0.00\\nATOM      6  CG  MET A   1      25.353  24.860   5.134  0.00  0.00\\nATOM      7  SD  MET A   1      23.930  23.959   5.904  0.00  0.00\\nATOM      8  CE  MET A   1      24.447  23.984   7.620  0.00  0.00\\nATOM      9  HA  MET A   1      25.864  25.717   1.875  0.00  0.00\\nATOM     10  HB2 MET A   1      24.227  25.486   3.461  0.00  0.00\\nATOM     11  HB3 MET A   1      24.886  23.861   3.332  0.00  0.00\\nATOM     12  HG2 MET A   1      26.298  24.359   5.342  0.00  0.00\\nATOM     13  HG3 MET A   1      25.421  25.882   5.505  0.00  0.00\\nATOM     14  HE1 MET A   1      23.700  23.479   8.233  0.00  0.00\\nATOM     15  HE2 MET A   1      25.405  23.472   7.719  0.00  0.00\\nATOM     16  HE3 MET A   1      24.552  25.017   7.954  0.00  0.00\\nATOM     17  H1  MET A   1      26.961  23.619   2.168  0.00  0.00\\nATOM     18  H2  MET A   1      28.043  24.834   2.029  0.00  0.00\\nATOM     19  H3  MET A   1      27.746  24.169   3.490  0.00  0.00\\nATOM     20  N   GLN A   2      26.335  27.770   3.258  0.00  0.00\\nATOM     21  CA  GLN A   2      26.850  29.021   3.898  0.00  0.00\\nATOM     22  C   GLN A   2      26.100  29.253   5.202  0.00  0.00\\nATOM     23  O   GLN A   2      24.865  29.024   5.330  0.00  0.00\\nATOM     24  CB  GLN A   2      26.733  30.148   2.905  0.00  0.00\\nATOM     25  CG  GLN A   2      26.882  31.546   3.409  0.00  0.00\\nATOM     26  CD  GLN A   2      26.786  32.562   2.270  0.00  0.00\\nATOM     27  OE1 GLN A   2      27.783  33.160   1.870  0.00  0.00\\nATOM     28  NE2 GLN A   2      25.562  32.733   1.806  0.00  0.00\\nATOM     29  H   GLN A   2      25.549  27.828   2.627  0.00  0.00\\nATOM     30  HA  GLN A   2      27.898  28.870   4.158  0.00  0.00\\nATOM     31  HB2 GLN A   2      27.488  30.028   2.128  0.00  0.00\\nATOM     32  HB3 GLN A   2      25.757  30.107   2.422  0.00  0.00\\nATOM     33  HG2 GLN A   2      26.089  31.748   4.128  0.00  0.00\\nATOM     34  HG3 GLN A   2      27.856  31.647   3.889  0.00  0.00\\nATOM     35 HE21 GLN A   2      24.801  32.218   2.200  0.00  0.00\\nATOM     36 HE22 GLN A   2      25.395  33.378   1.059  0.00  0.00\\nATOM     37  N   ILE A   3      26.870  29.613   6.218  0.00  0.00\\nATOM     38  CA  ILE A   3      26.339  29.972   7.524  0.00  0.00\\nATOM     39  C   ILE A   3      27.109  31.224   7.955  0.00  0.00\\nATOM     40  O   ILE A   3      28.128  31.585   7.343  0.00  0.00\\nATOM     41  CB  ILE A   3      26.401  28.977   8.667  0.00  0.00\\nATOM     42  CG1 ILE A   3      27.852  28.666   9.050  0.00  0.00\\nATOM     43  CG2 ILE A   3      25.637  27.716   8.289  0.00  0.00\\nATOM     44  CD1 ILE A   3      28.009  27.987  10.355  0.00  0.00\\nATOM     45  H   ILE A   3      27.837  29.720   6.069  0.00  0.00\\nATOM     46  HA  ILE A   3      25.297  30.268   7.396  0.00  0.00\\nATOM     47  HB  ILE A   3      25.920  29.422   9.539  0.00  0.00\\nATOM     48 HG12 ILE A   3      28.299  28.043   8.290  0.00  0.00\\nATOM     49 HG13 ILE A   3      28.399  29.608   9.123  0.00  0.00\\nATOM     50 HG21 ILE A   3      25.620  27.009   9.124  0.00  0.00\\nATOM     51 HG22 ILE A   3      24.633  28.008   8.042  0.00  0.00\\nATOM     52 HG23 ILE A   3      26.117  27.242   7.433  0.00  0.00\\nATOM     53 HD11 ILE A   3      29.070  27.841  10.527  0.00  0.00\\nATOM     54 HD12 ILE A   3      27.590  28.640  11.118  0.00  0.00\\nATOM     55 HD13 ILE A   3      27.502  27.032  10.359  0.00  0.00\\nATOM     56  N   PHE A   4      26.733  31.734   9.085  0.00  0.00\\nATOM     57  CA  PHE A   4      27.391  32.953   9.642  0.00  0.00\\nATOM     58  C   PHE A   4      27.748  32.910  11.094  0.00  0.00\\nATOM     59  O   PHE A   4      26.950  32.338  11.895  0.00  0.00\\nATOM     60  CB  PHE A   4      26.503  34.111   9.370  0.00  0.00\\nATOM     61  CG  PHE A   4      26.128  34.149   7.904  0.00  0.00\\nATOM     62  CD1 PHE A   4      25.008  33.485   7.453  0.00  0.00\\nATOM     63  CD2 PHE A   4      26.894  34.828   7.011  0.00  0.00\\nATOM     64  CE1 PHE A   4      24.656  33.510   6.119  0.00  0.00\\nATOM     65  CE2 PHE A   4      26.561  34.839   5.675  0.00  0.00\\nATOM     66  CZ  PHE A   4      25.424  34.199   5.253  0.00  0.00\\nATOM     67  H   PHE A   4      25.953  31.345   9.618  0.00  0.00\\nATOM     68  HA  PHE A   4      28.351  33.059   9.106  0.00  0.00\\nATOM     69  HB2 PHE A   4      25.595  34.013   9.974  0.00  0.00\\nATOM     70  HB3 PHE A   4      27.012  35.022   9.635  0.00  0.00\\nATOM     71  HD1 PHE A   4      24.384  32.932   8.158  0.00  0.00\\nATOM     72  HD2 PHE A   4      27.789  35.326   7.339  0.00  0.00\\nATOM     73  HE1 PHE A   4      23.772  32.971   5.771  0.00  0.00\\nATOM     74  HE2 PHE A   4      27.177  35.366   4.970  0.00  0.00\\nATOM     75  HZ  PHE A   4      25.167  34.222   4.198  0.00  0.00\\nATOM     76  N   VAL A   5      28.812  33.506  11.555  0.00  0.00\\nATOM     77  CA  VAL A   5      29.204  33.610  12.929  0.00  0.00\\nATOM     78  C   VAL A   5      29.258  34.957  13.403  0.00  0.00\\nATOM     79  O   VAL A   5      30.299  35.644  13.333  0.00  0.00\\nATOM     80  CB  VAL A   5      30.551  32.943  13.233  0.00  0.00\\nATOM     81  CG1 VAL A   5      30.929  32.989  14.718  0.00  0.00\\nATOM     82  CG2 VAL A   5      30.574  31.406  12.720  0.00  0.00\\nATOM     83  H   VAL A   5      29.421  34.003  10.834  0.00  0.00\\nATOM     84  HA  VAL A   5      28.392  33.101  13.576  0.00  0.00\\nATOM     85  HB  VAL A   5      31.331  33.507  12.688  0.00  0.00\\nATOM     86 HG11 VAL A   5      31.906  32.532  14.833  0.00  0.00\\nATOM     87 HG12 VAL A   5      30.966  34.018  15.097  0.00  0.00\\nATOM     88 HG13 VAL A   5      30.197  32.426  15.309  0.00  0.00\\nATOM     89 HG21 VAL A   5      31.562  30.999  12.927  0.00  0.00\\nATOM     90 HG22 VAL A   5      29.823  30.819  13.268  0.00  0.00\\nATOM     91 HG23 VAL A   5      30.368  31.340  11.659  0.00  0.00\\nATOM     92  N   LYS A   6      27.969  35.655  13.757  0.00  0.00\\nATOM     93  CA  LYS A   6      27.908  37.004  14.120  0.00  0.00\\nATOM     94  C   LYS A   6      28.639  37.263  15.413  0.00  0.00\\nATOM     95  O   LYS A   6      28.441  36.571  16.406  0.00  0.00\\nATOM     96  CB  LYS A   6      26.412  37.350  14.228  0.00  0.00\\nATOM     97  CG  LYS A   6      26.004  38.964  14.506  0.00  0.00\\nATOM     98  CD  LYS A   6      24.406  39.165  14.602  0.00  0.00\\nATOM     99  CE  LYS A   6      23.916  40.677  14.768  0.00  0.00\\nATOM    100  NZ  LYS A   6      22.402  40.758  14.904  0.00  0.00\\nATOM    101  H   LYS A   6      27.186  35.038  13.721  0.00  0.00\\nATOM    102  HA  LYS A   6      28.356  37.566  13.298  0.00  0.00\\nATOM    103  HB2 LYS A   6      25.897  37.010  13.322  0.00  0.00\\nATOM    104  HB3 LYS A   6      25.980  36.768  15.037  0.00  0.00\\nATOM    105  HG2 LYS A   6      26.436  39.307  15.461  0.00  0.00\\nATOM    106  HG3 LYS A   6      26.392  39.623  13.720  0.00  0.00\\nATOM    107  HD2 LYS A   6      23.924  38.772  13.706  0.00  0.00\\nATOM    108  HD3 LYS A   6      24.035  38.624  15.462  0.00  0.00\\nATOM    109  HE2 LYS A   6      24.368  41.125  15.651  0.00  0.00\\nATOM    110  HE3 LYS A   6      24.209  41.254  13.889  0.00  0.00\\nATOM    111  HZ1 LYS A   6      22.119  41.729  14.996  0.00  0.00\\nATOM    112  HZ2 LYS A   6      21.963  40.368  14.080  0.00  0.00\\nATOM    113  HZ3 LYS A   6      22.102  40.248  15.721  0.00  0.00\\nATOM    114  N   THR A   7      29.476  38.313  15.400  0.00  0.00\\nATOM    115  CA  THR A   7      30.227  38.653  16.625  0.00  0.00\\nATOM    116  C   THR A   7      29.622  39.825  17.418  0.00  0.00\\nATOM    117  O   THR A   7      28.714  40.490  16.922  0.00  0.00\\nATOM    118  CB  THR A   7      31.668  39.022  16.202  0.00  0.00\\nATOM    119  OG1 THR A   7      31.571  40.271  15.484  0.00  0.00\\nATOM    120  CG2 THR A   7      32.202  37.934  15.271  0.00  0.00\\nATOM    121  H   THR A   7      29.608  38.837  14.583  0.00  0.00\\nATOM    122  HA  THR A   7      30.271  37.786  17.264  0.00  0.00\\nATOM    123  HB  THR A   7      32.304  39.113  17.116  0.00  0.00\\nATOM    124  HG1 THR A   7      31.277  40.998  16.113  0.00  0.00\\nATOM    125 HG21 THR A   7      33.218  38.172  14.979  0.00  0.00\\nATOM    126 HG22 THR A   7      32.188  36.943  15.754  0.00  0.00\\nATOM    127 HG23 THR A   7      31.576  37.900  14.382  0.00  0.00\\nATOM    128  N   LEU A   8      30.132  40.069  18.642  0.00  0.00\\nATOM    129  CA  LEU A   8      29.607  41.180  19.467  0.00  0.00\\nATOM    130  C   LEU A   8      30.075  42.538  18.984  0.00  0.00\\nATOM    131  CB  LEU A   8      29.919  40.890  20.938  0.00  0.00\\nATOM    132  CG  LEU A   8      29.183  39.722  21.581  0.00  0.00\\nATOM    133  CD1 LEU A   8      29.308  39.750  23.095  0.00  0.00\\nATOM    134  CD2 LEU A   8      27.700  39.721  21.228  0.00  0.00\\nATOM    135  H   LEU A   8      30.862  39.480  19.017  0.00  0.00\\nATOM    136  HA  LEU A   8      28.528  41.234  19.328  0.00  0.00\\nATOM    137  HB2 LEU A   8      30.985  40.688  21.034  0.00  0.00\\nATOM    138  HB3 LEU A   8      29.684  41.778  21.525  0.00  0.00\\nATOM    139  HG  LEU A   8      29.617  38.783  21.235  0.00  0.00\\nATOM    140 HD11 LEU A   8      28.771  38.902  23.520  0.00  0.00\\nATOM    141 HD12 LEU A   8      30.360  39.689  23.374  0.00  0.00\\nATOM    142 HD13 LEU A   8      28.883  40.677  23.478  0.00  0.00\\nATOM    143 HD21 LEU A   8      27.213  38.871  21.706  0.00  0.00\\nATOM    144 HD22 LEU A   8      27.242  40.646  21.578  0.00  0.00\\nATOM    145 HD23 LEU A   8      27.583  39.645  20.147  0.00  0.00\\nATOM    146  O   LEU A   8      29.586  43.570  19.483  0.00  0.00\\nATOM    147  OXT LEU A   8      30.911  42.614  18.127  0.00  0.00\\nTER\\nENDMDL\\n\",\"pdb\");\n",
       "\tviewer_17885206085786698.setBackgroundColor(\"white\");\n",
       "\tviewer_17885206085786698.setStyle({},{\"cartoon\": {\"color\": \"spectrum\"}});\n",
       "\tviewer_17885206085786698.addStyle({\"not\": {\"hetflag\": true}},{\"stick\": {\"radius\": 0.08, \"opacity\": 0.55}});\n",
       "\tviewer_17885206085786698.setStyle({\"hetflag\": true},{\"stick\": {\"colorscheme\": \"orangeCarbon\", \"radius\": 0.22}});\n",
       "\tviewer_17885206085786698.setHoverable({},true,\"function(atom,viewer) {\\n        if(!atom.label) {\\n            atom.label = viewer.addLabel(\\n                atom.chain + ':' + atom.resn + '(' + atom.resi + '):' +\\n                atom.atom + '(idx' + atom.serial + ')',\\n                {position: atom, backgroundColor:\\\"white\\\", fontColor:\\\"black\\\"}\\n            );\\n        }\\n    }\",\"function(atom,viewer) {\\n        if(atom.label) {\\n            viewer.removeLabel(atom.label);\\n            delete atom.label;\\n        }\\n    }\");\n",
       "\tviewer_17885206085786698.zoomTo();\n",
       "viewer_17885206085786698.render();\n",
       "});\n",
       "</script>\n",
       "</section>\n",
       "<section id=\"tmol-switch-78a5de5c65f849f9a5628f3ba7197a9d-panel-3\" class=\"tmol-switch-panel\"\n",
       "         style=\"position:absolute;inset:0;visibility:hidden\">\n",
       "  <div class=\"tmol-viewer-note\">local main-chain RMSD 0.330 Å; distance error 0.202 Å; non-constraint score 33.33</div>\n",
       "  <div id=\"3dmolviewer_17885206085894935\"  style=\"position: relative; width: 720px; height: 420px;\">\n",
       "        <p id=\"3dmolwarning_17885206085894935\" style=\"background-color:#ffcccc;color:black\">3Dmol.js failed to load for some reason.  Please check your browser console for error messages.<br></p>\n",
       "        </div>\n",
       "<script>\n",
       "\n",
       "var loadScriptAsync = function(uri){\n",
       "  return new Promise((resolve, reject) => {\n",
       "    //this is to ignore the existence of requirejs amd\n",
       "    var savedexports, savedmodule;\n",
       "    if (typeof exports !== 'undefined') savedexports = exports;\n",
       "    else exports = {}\n",
       "    if (typeof module !== 'undefined') savedmodule = module;\n",
       "    else module = {}\n",
       "\n",
       "    var tag = document.createElement('script');\n",
       "    tag.src = uri;\n",
       "    tag.async = true;\n",
       "    tag.onload = () => {\n",
       "        exports = savedexports;\n",
       "        module = savedmodule;\n",
       "        resolve();\n",
       "    };\n",
       "  var firstScriptTag = document.getElementsByTagName('script')[0];\n",
       "  firstScriptTag.parentNode.insertBefore(tag, firstScriptTag);\n",
       "});\n",
       "};\n",
       "\n",
       "if(typeof $3Dmolpromise === 'undefined') {\n",
       "$3Dmolpromise = null;\n",
       "  $3Dmolpromise = loadScriptAsync('https://cdn.jsdelivr.net/npm/3dmol@2.5.5/build/3Dmol-min.js');\n",
       "}\n",
       "\n",
       "var viewer_17885206085894935 = null;\n",
       "var warn = document.getElementById(\"3dmolwarning_17885206085894935\");\n",
       "if(warn) {\n",
       "    warn.parentNode.removeChild(warn);\n",
       "}\n",
       "$3Dmolpromise.then(function() {\n",
       "viewer_17885206085894935 = $3Dmol.createViewer(document.getElementById(\"3dmolviewer_17885206085894935\"),{backgroundColor:\"white\"});\n",
       "viewer_17885206085894935.zoomTo();\n",
       "\tviewer_17885206085894935.addModel(\"MODEL 1\\nATOM      1  N   MET A   1      27.340  24.430   2.614  0.00  0.00\\nATOM      2  CA  MET A   1      26.266  25.413   2.842  0.00  0.00\\nATOM      3  C   MET A   1      26.913  26.639   3.531  0.00  0.00\\nATOM      4  O   MET A   1      27.886  26.463   4.263  0.00  0.00\\nATOM      5  CB  MET A   1      25.112  24.880   3.649  0.00  0.00\\nATOM      6  CG  MET A   1      25.353  24.860   5.134  0.00  0.00\\nATOM      7  SD  MET A   1      23.930  23.959   5.904  0.00  0.00\\nATOM      8  CE  MET A   1      24.447  23.984   7.620  0.00  0.00\\nATOM      9  HA  MET A   1      25.864  25.717   1.875  0.00  0.00\\nATOM     10  HB2 MET A   1      24.227  25.486   3.461  0.00  0.00\\nATOM     11  HB3 MET A   1      24.886  23.861   3.332  0.00  0.00\\nATOM     12  HG2 MET A   1      26.298  24.359   5.342  0.00  0.00\\nATOM     13  HG3 MET A   1      25.421  25.882   5.505  0.00  0.00\\nATOM     14  HE1 MET A   1      23.700  23.479   8.233  0.00  0.00\\nATOM     15  HE2 MET A   1      25.405  23.472   7.719  0.00  0.00\\nATOM     16  HE3 MET A   1      24.552  25.017   7.954  0.00  0.00\\nATOM     17  H1  MET A   1      26.961  23.619   2.168  0.00  0.00\\nATOM     18  H2  MET A   1      28.043  24.834   2.029  0.00  0.00\\nATOM     19  H3  MET A   1      27.746  24.169   3.490  0.00  0.00\\nATOM     20  N   GLN A   2      26.335  27.770   3.258  0.00  0.00\\nATOM     21  CA  GLN A   2      26.850  29.021   3.898  0.00  0.00\\nATOM     22  C   GLN A   2      26.100  29.253   5.202  0.00  0.00\\nATOM     23  O   GLN A   2      24.865  29.024   5.330  0.00  0.00\\nATOM     24  CB  GLN A   2      26.733  30.148   2.905  0.00  0.00\\nATOM     25  CG  GLN A   2      26.882  31.546   3.409  0.00  0.00\\nATOM     26  CD  GLN A   2      26.786  32.562   2.270  0.00  0.00\\nATOM     27  OE1 GLN A   2      27.783  33.160   1.870  0.00  0.00\\nATOM     28  NE2 GLN A   2      25.562  32.733   1.806  0.00  0.00\\nATOM     29  H   GLN A   2      25.549  27.828   2.627  0.00  0.00\\nATOM     30  HA  GLN A   2      27.898  28.870   4.158  0.00  0.00\\nATOM     31  HB2 GLN A   2      27.488  30.028   2.128  0.00  0.00\\nATOM     32  HB3 GLN A   2      25.757  30.107   2.422  0.00  0.00\\nATOM     33  HG2 GLN A   2      26.089  31.748   4.128  0.00  0.00\\nATOM     34  HG3 GLN A   2      27.856  31.647   3.889  0.00  0.00\\nATOM     35 HE21 GLN A   2      24.801  32.218   2.200  0.00  0.00\\nATOM     36 HE22 GLN A   2      25.395  33.378   1.059  0.00  0.00\\nATOM     37  N   ILE A   3      26.847  29.648   6.220  0.00  0.00\\nATOM     38  CA  ILE A   3      26.276  30.010   7.502  0.00  0.00\\nATOM     39  C   ILE A   3      26.973  31.319   7.921  0.00  0.00\\nATOM     40  O   ILE A   3      28.035  31.653   7.361  0.00  0.00\\nATOM     41  CB  ILE A   3      26.372  29.018   8.654  0.00  0.00\\nATOM     42  CG1 ILE A   3      27.829  28.732   9.040  0.00  0.00\\nATOM     43  CG2 ILE A   3      25.636  27.724   8.284  0.00  0.00\\nATOM     44  CD1 ILE A   3      28.005  28.016  10.355  0.00  0.00\\nATOM     45  H   ILE A   3      27.806  29.768   6.089  0.00  0.00\\nATOM     46  HA  ILE A   3      25.222  30.229   7.355  0.00  0.00\\nATOM     47  HB  ILE A   3      25.894  29.466   9.529  0.00  0.00\\nATOM     48 HG12 ILE A   3      28.296  28.129   8.277  0.00  0.00\\nATOM     49 HG13 ILE A   3      28.342  29.702   9.118  0.00  0.00\\nATOM     50 HG21 ILE A   3      25.645  27.018   9.124  0.00  0.00\\nATOM     51 HG22 ILE A   3      24.626  27.987   8.050  0.00  0.00\\nATOM     52 HG23 ILE A   3      26.123  27.259   7.427  0.00  0.00\\nATOM     53 HD11 ILE A   3      29.070  27.891  10.525  0.00  0.00\\nATOM     54 HD12 ILE A   3      27.569  28.632  11.135  0.00  0.00\\nATOM     55 HD13 ILE A   3      27.524  27.042  10.333  0.00  0.00\\nATOM     56  N   PHE A   4      26.490  31.911   8.959  0.00  0.00\\nATOM     57  CA  PHE A   4      27.106  33.163   9.502  0.00  0.00\\nATOM     58  C   PHE A   4      27.446  33.156  10.926  0.00  0.00\\nATOM     59  O   PHE A   4      26.640  32.576  11.733  0.00  0.00\\nATOM     60  CB  PHE A   4      26.267  34.315   9.219  0.00  0.00\\nATOM     61  CG  PHE A   4      25.992  34.294   7.841  0.00  0.00\\nATOM     62  CD1 PHE A   4      24.912  33.607   7.398  0.00  0.00\\nATOM     63  CD2 PHE A   4      26.812  34.916   6.979  0.00  0.00\\nATOM     64  CE1 PHE A   4      24.618  33.552   6.084  0.00  0.00\\nATOM     65  CE2 PHE A   4      26.547  34.861   5.648  0.00  0.00\\nATOM     66  CZ  PHE A   4      25.420  34.196   5.223  0.00  0.00\\nATOM     67  H   PHE A   4      25.671  31.543   9.457  0.00  0.00\\nATOM     68  HA  PHE A   4      28.069  33.273   8.984  0.00  0.00\\nATOM     69  HB2 PHE A   4      25.350  34.246   9.806  0.00  0.00\\nATOM     70  HB3 PHE A   4      26.817  35.202   9.461  0.00  0.00\\nATOM     71  HD1 PHE A   4      24.273  33.084   8.124  0.00  0.00\\nATOM     72  HD2 PHE A   4      27.700  35.421   7.337  0.00  0.00\\nATOM     73  HE1 PHE A   4      23.750  32.982   5.742  0.00  0.00\\nATOM     74  HE2 PHE A   4      27.194  35.349   4.946  0.00  0.00\\nATOM     75  HZ  PHE A   4      25.209  34.161   4.167  0.00  0.00\\nATOM     76  N   VAL A   5      28.526  33.699  11.397  0.00  0.00\\nATOM     77  CA  VAL A   5      28.956  33.772  12.768  0.00  0.00\\nATOM     78  C   VAL A   5      29.041  35.105  13.270  0.00  0.00\\nATOM     79  O   VAL A   5      30.094  35.764  13.181  0.00  0.00\\nATOM     80  CB  VAL A   5      30.348  33.080  13.089  0.00  0.00\\nATOM     81  CG1 VAL A   5      30.798  33.097  14.642  0.00  0.00\\nATOM     82  CG2 VAL A   5      30.440  31.490  12.627  0.00  0.00\\nATOM     83  H   VAL A   5      29.146  34.190  10.659  0.00  0.00\\nATOM     84  HA  VAL A   5      28.134  33.266  13.428  0.00  0.00\\nATOM     85  HB  VAL A   5      31.118  33.654  12.525  0.00  0.00\\nATOM     86 HG11 VAL A   5      31.788  32.628  14.705  0.00  0.00\\nATOM     87 HG12 VAL A   5      30.860  34.103  15.076  0.00  0.00\\nATOM     88 HG13 VAL A   5      30.103  32.504  15.260  0.00  0.00\\nATOM     89 HG21 VAL A   5      31.454  31.150  12.869  0.00  0.00\\nATOM     90 HG22 VAL A   5      29.722  30.885  13.207  0.00  0.00\\nATOM     91 HG23 VAL A   5      30.250  31.344  11.574  0.00  0.00\\nATOM     92  N   LYS A   6      27.784  35.821  13.682  0.00  0.00\\nATOM     93  CA  LYS A   6      27.797  37.139  14.103  0.00  0.00\\nATOM     94  C   LYS A   6      28.555  37.324  15.406  0.00  0.00\\nATOM     95  O   LYS A   6      28.350  36.604  16.384  0.00  0.00\\nATOM     96  CB  LYS A   6      26.335  37.455  14.233  0.00  0.00\\nATOM     97  CG  LYS A   6      25.967  38.990  14.519  0.00  0.00\\nATOM     98  CD  LYS A   6      24.397  39.175  14.610  0.00  0.00\\nATOM     99  CE  LYS A   6      23.912  40.678  14.774  0.00  0.00\\nATOM    100  NZ  LYS A   6      22.401  40.761  14.905  0.00  0.00\\nATOM    101  H   LYS A   6      26.986  35.235  13.673  0.00  0.00\\nATOM    102  HA  LYS A   6      28.245  37.712  13.300  0.00  0.00\\nATOM    103  HB2 LYS A   6      25.827  37.096  13.330  0.00  0.00\\nATOM    104  HB3 LYS A   6      25.929  36.846  15.041  0.00  0.00\\nATOM    105  HG2 LYS A   6      26.417  39.315  15.470  0.00  0.00\\nATOM    106  HG3 LYS A   6      26.366  39.636  13.730  0.00  0.00\\nATOM    107  HD2 LYS A   6      23.923  38.780  13.708  0.00  0.00\\nATOM    108  HD3 LYS A   6      24.030  38.629  15.465  0.00  0.00\\nATOM    109  HE2 LYS A   6      24.366  41.123  15.656  0.00  0.00\\nATOM    110  HE3 LYS A   6      24.211  41.255  13.894  0.00  0.00\\nATOM    111  HZ1 LYS A   6      22.122  41.732  14.997  0.00  0.00\\nATOM    112  HZ2 LYS A   6      21.964  40.373  14.079  0.00  0.00\\nATOM    113  HZ3 LYS A   6      22.099  40.251  15.721  0.00  0.00\\nATOM    114  N   THR A   7      29.433  38.343  15.413  0.00  0.00\\nATOM    115  CA  THR A   7      30.219  38.652  16.624  0.00  0.00\\nATOM    116  C   THR A   7      29.623  39.826  17.424  0.00  0.00\\nATOM    117  O   THR A   7      28.720  40.499  16.925  0.00  0.00\\nATOM    118  CB  THR A   7      31.657  39.023  16.192  0.00  0.00\\nATOM    119  OG1 THR A   7      31.545  40.277  15.479  0.00  0.00\\nATOM    120  CG2 THR A   7      32.197  37.931  15.271  0.00  0.00\\nATOM    121  H   THR A   7      29.560  38.880  14.604  0.00  0.00\\nATOM    122  HA  THR A   7      30.267  37.779  17.259  0.00  0.00\\nATOM    123  HB  THR A   7      32.305  39.120  17.096  0.00  0.00\\nATOM    124  HG1 THR A   7      31.308  41.013  16.127  0.00  0.00\\nATOM    125 HG21 THR A   7      33.215  38.168  14.974  0.00  0.00\\nATOM    126 HG22 THR A   7      32.188  36.947  15.771  0.00  0.00\\nATOM    127 HG23 THR A   7      31.568  37.885  14.388  0.00  0.00\\nATOM    128  N   LEU A   8      30.132  40.069  18.642  0.00  0.00\\nATOM    129  CA  LEU A   8      29.607  41.180  19.467  0.00  0.00\\nATOM    130  C   LEU A   8      30.075  42.538  18.984  0.00  0.00\\nATOM    131  CB  LEU A   8      29.919  40.890  20.938  0.00  0.00\\nATOM    132  CG  LEU A   8      29.183  39.722  21.581  0.00  0.00\\nATOM    133  CD1 LEU A   8      29.308  39.750  23.095  0.00  0.00\\nATOM    134  CD2 LEU A   8      27.700  39.721  21.228  0.00  0.00\\nATOM    135  H   LEU A   8      30.862  39.480  19.017  0.00  0.00\\nATOM    136  HA  LEU A   8      28.528  41.234  19.328  0.00  0.00\\nATOM    137  HB2 LEU A   8      30.985  40.688  21.034  0.00  0.00\\nATOM    138  HB3 LEU A   8      29.684  41.778  21.525  0.00  0.00\\nATOM    139  HG  LEU A   8      29.617  38.783  21.235  0.00  0.00\\nATOM    140 HD11 LEU A   8      28.771  38.902  23.520  0.00  0.00\\nATOM    141 HD12 LEU A   8      30.360  39.689  23.374  0.00  0.00\\nATOM    142 HD13 LEU A   8      28.883  40.677  23.478  0.00  0.00\\nATOM    143 HD21 LEU A   8      27.213  38.871  21.706  0.00  0.00\\nATOM    144 HD22 LEU A   8      27.242  40.646  21.578  0.00  0.00\\nATOM    145 HD23 LEU A   8      27.583  39.645  20.147  0.00  0.00\\nATOM    146  O   LEU A   8      29.586  43.570  19.483  0.00  0.00\\nATOM    147  OXT LEU A   8      30.911  42.614  18.127  0.00  0.00\\nTER\\nENDMDL\\n\",\"pdb\");\n",
       "\tviewer_17885206085894935.setBackgroundColor(\"white\");\n",
       "\tviewer_17885206085894935.setStyle({},{\"cartoon\": {\"color\": \"spectrum\"}});\n",
       "\tviewer_17885206085894935.addStyle({\"not\": {\"hetflag\": true}},{\"stick\": {\"radius\": 0.08, \"opacity\": 0.55}});\n",
       "\tviewer_17885206085894935.setStyle({\"hetflag\": true},{\"stick\": {\"colorscheme\": \"orangeCarbon\", \"radius\": 0.22}});\n",
       "\tviewer_17885206085894935.setHoverable({},true,\"function(atom,viewer) {\\n        if(!atom.label) {\\n            atom.label = viewer.addLabel(\\n                atom.chain + ':' + atom.resn + '(' + atom.resi + '):' +\\n                atom.atom + '(idx' + atom.serial + ')',\\n                {position: atom, backgroundColor:\\\"white\\\", fontColor:\\\"black\\\"}\\n            );\\n        }\\n    }\",\"function(atom,viewer) {\\n        if(atom.label) {\\n            viewer.removeLabel(atom.label);\\n            delete atom.label;\\n        }\\n    }\");\n",
       "\tviewer_17885206085894935.zoomTo();\n",
       "viewer_17885206085894935.render();\n",
       "});\n",
       "</script>\n",
       "</section>\n",
       "<section id=\"tmol-switch-78a5de5c65f849f9a5628f3ba7197a9d-panel-4\" class=\"tmol-switch-panel\"\n",
       "         style=\"position:absolute;inset:0;visibility:hidden\">\n",
       "  <div class=\"tmol-viewer-note\">local main-chain RMSD 0.560 Å; distance error 0.288 Å; non-constraint score 30.03</div>\n",
       "  <div id=\"3dmolviewer_178852060859802\"  style=\"position: relative; width: 720px; height: 420px;\">\n",
       "        <p id=\"3dmolwarning_178852060859802\" style=\"background-color:#ffcccc;color:black\">3Dmol.js failed to load for some reason.  Please check your browser console for error messages.<br></p>\n",
       "        </div>\n",
       "<script>\n",
       "\n",
       "var loadScriptAsync = function(uri){\n",
       "  return new Promise((resolve, reject) => {\n",
       "    //this is to ignore the existence of requirejs amd\n",
       "    var savedexports, savedmodule;\n",
       "    if (typeof exports !== 'undefined') savedexports = exports;\n",
       "    else exports = {}\n",
       "    if (typeof module !== 'undefined') savedmodule = module;\n",
       "    else module = {}\n",
       "\n",
       "    var tag = document.createElement('script');\n",
       "    tag.src = uri;\n",
       "    tag.async = true;\n",
       "    tag.onload = () => {\n",
       "        exports = savedexports;\n",
       "        module = savedmodule;\n",
       "        resolve();\n",
       "    };\n",
       "  var firstScriptTag = document.getElementsByTagName('script')[0];\n",
       "  firstScriptTag.parentNode.insertBefore(tag, firstScriptTag);\n",
       "});\n",
       "};\n",
       "\n",
       "if(typeof $3Dmolpromise === 'undefined') {\n",
       "$3Dmolpromise = null;\n",
       "  $3Dmolpromise = loadScriptAsync('https://cdn.jsdelivr.net/npm/3dmol@2.5.5/build/3Dmol-min.js');\n",
       "}\n",
       "\n",
       "var viewer_178852060859802 = null;\n",
       "var warn = document.getElementById(\"3dmolwarning_178852060859802\");\n",
       "if(warn) {\n",
       "    warn.parentNode.removeChild(warn);\n",
       "}\n",
       "$3Dmolpromise.then(function() {\n",
       "viewer_178852060859802 = $3Dmol.createViewer(document.getElementById(\"3dmolviewer_178852060859802\"),{backgroundColor:\"white\"});\n",
       "viewer_178852060859802.zoomTo();\n",
       "\tviewer_178852060859802.addModel(\"MODEL 1\\nATOM      1  N   MET A   1      27.340  24.430   2.614  0.00  0.00\\nATOM      2  CA  MET A   1      26.266  25.413   2.842  0.00  0.00\\nATOM      3  C   MET A   1      26.913  26.639   3.531  0.00  0.00\\nATOM      4  O   MET A   1      27.886  26.463   4.263  0.00  0.00\\nATOM      5  CB  MET A   1      25.112  24.880   3.649  0.00  0.00\\nATOM      6  CG  MET A   1      25.353  24.860   5.134  0.00  0.00\\nATOM      7  SD  MET A   1      23.930  23.959   5.904  0.00  0.00\\nATOM      8  CE  MET A   1      24.447  23.984   7.620  0.00  0.00\\nATOM      9  HA  MET A   1      25.864  25.717   1.875  0.00  0.00\\nATOM     10  HB2 MET A   1      24.227  25.486   3.461  0.00  0.00\\nATOM     11  HB3 MET A   1      24.886  23.861   3.332  0.00  0.00\\nATOM     12  HG2 MET A   1      26.298  24.359   5.342  0.00  0.00\\nATOM     13  HG3 MET A   1      25.421  25.882   5.505  0.00  0.00\\nATOM     14  HE1 MET A   1      23.700  23.479   8.233  0.00  0.00\\nATOM     15  HE2 MET A   1      25.405  23.472   7.719  0.00  0.00\\nATOM     16  HE3 MET A   1      24.552  25.017   7.954  0.00  0.00\\nATOM     17  H1  MET A   1      26.961  23.619   2.168  0.00  0.00\\nATOM     18  H2  MET A   1      28.043  24.834   2.029  0.00  0.00\\nATOM     19  H3  MET A   1      27.746  24.169   3.490  0.00  0.00\\nATOM     20  N   GLN A   2      26.335  27.770   3.258  0.00  0.00\\nATOM     21  CA  GLN A   2      26.850  29.021   3.898  0.00  0.00\\nATOM     22  C   GLN A   2      26.100  29.253   5.202  0.00  0.00\\nATOM     23  O   GLN A   2      24.865  29.024   5.330  0.00  0.00\\nATOM     24  CB  GLN A   2      26.733  30.148   2.905  0.00  0.00\\nATOM     25  CG  GLN A   2      26.882  31.546   3.409  0.00  0.00\\nATOM     26  CD  GLN A   2      26.786  32.562   2.270  0.00  0.00\\nATOM     27  OE1 GLN A   2      27.783  33.160   1.870  0.00  0.00\\nATOM     28  NE2 GLN A   2      25.562  32.733   1.806  0.00  0.00\\nATOM     29  H   GLN A   2      25.549  27.828   2.627  0.00  0.00\\nATOM     30  HA  GLN A   2      27.898  28.870   4.158  0.00  0.00\\nATOM     31  HB2 GLN A   2      27.488  30.028   2.128  0.00  0.00\\nATOM     32  HB3 GLN A   2      25.757  30.107   2.422  0.00  0.00\\nATOM     33  HG2 GLN A   2      26.089  31.748   4.128  0.00  0.00\\nATOM     34  HG3 GLN A   2      27.856  31.647   3.889  0.00  0.00\\nATOM     35 HE21 GLN A   2      24.801  32.218   2.200  0.00  0.00\\nATOM     36 HE22 GLN A   2      25.395  33.378   1.059  0.00  0.00\\nATOM     37  N   ILE A   3      26.870  29.612   6.218  0.00  0.00\\nATOM     38  CA  ILE A   3      26.338  29.970   7.522  0.00  0.00\\nATOM     39  C   ILE A   3      27.106  31.222   7.950  0.00  0.00\\nATOM     40  O   ILE A   3      28.126  31.582   7.340  0.00  0.00\\nATOM     41  CB  ILE A   3      26.401  28.975   8.666  0.00  0.00\\nATOM     42  CG1 ILE A   3      27.852  28.666   9.050  0.00  0.00\\nATOM     43  CG2 ILE A   3      25.638  27.715   8.289  0.00  0.00\\nATOM     44  CD1 ILE A   3      28.010  27.987  10.355  0.00  0.00\\nATOM     45  H   ILE A   3      27.836  29.720   6.068  0.00  0.00\\nATOM     46  HA  ILE A   3      25.296  30.266   7.394  0.00  0.00\\nATOM     47  HB  ILE A   3      25.920  29.422   9.538  0.00  0.00\\nATOM     48 HG12 ILE A   3      28.299  28.043   8.290  0.00  0.00\\nATOM     49 HG13 ILE A   3      28.398  29.608   9.123  0.00  0.00\\nATOM     50 HG21 ILE A   3      25.620  27.009   9.124  0.00  0.00\\nATOM     51 HG22 ILE A   3      24.634  28.007   8.042  0.00  0.00\\nATOM     52 HG23 ILE A   3      26.118  27.242   7.433  0.00  0.00\\nATOM     53 HD11 ILE A   3      29.071  27.842  10.527  0.00  0.00\\nATOM     54 HD12 ILE A   3      27.590  28.640  11.117  0.00  0.00\\nATOM     55 HD13 ILE A   3      27.502  27.031  10.359  0.00  0.00\\nATOM     56  N   PHE A   4      26.727  31.733   9.078  0.00  0.00\\nATOM     57  CA  PHE A   4      27.386  32.951   9.631  0.00  0.00\\nATOM     58  C   PHE A   4      27.744  32.907  11.075  0.00  0.00\\nATOM     59  O   PHE A   4      26.947  32.338  11.880  0.00  0.00\\nATOM     60  CB  PHE A   4      26.500  34.111   9.364  0.00  0.00\\nATOM     61  CG  PHE A   4      26.126  34.150   7.903  0.00  0.00\\nATOM     62  CD1 PHE A   4      25.007  33.486   7.452  0.00  0.00\\nATOM     63  CD2 PHE A   4      26.893  34.829   7.011  0.00  0.00\\nATOM     64  CE1 PHE A   4      24.655  33.511   6.119  0.00  0.00\\nATOM     65  CE2 PHE A   4      26.561  34.840   5.675  0.00  0.00\\nATOM     66  CZ  PHE A   4      25.424  34.199   5.253  0.00  0.00\\nATOM     67  H   PHE A   4      25.948  31.346   9.612  0.00  0.00\\nATOM     68  HA  PHE A   4      28.345  33.057   9.093  0.00  0.00\\nATOM     69  HB2 PHE A   4      25.593  34.013   9.970  0.00  0.00\\nATOM     70  HB3 PHE A   4      27.013  35.021   9.631  0.00  0.00\\nATOM     71  HD1 PHE A   4      24.383  32.933   8.158  0.00  0.00\\nATOM     72  HD2 PHE A   4      27.788  35.327   7.339  0.00  0.00\\nATOM     73  HE1 PHE A   4      23.772  32.971   5.771  0.00  0.00\\nATOM     74  HE2 PHE A   4      27.177  35.366   4.971  0.00  0.00\\nATOM     75  HZ  PHE A   4      25.167  34.221   4.198  0.00  0.00\\nATOM     76  N   VAL A   5      28.811  33.495  11.529  0.00  0.00\\nATOM     77  CA  VAL A   5      29.197  33.597  12.899  0.00  0.00\\nATOM     78  C   VAL A   5      29.252  34.946  13.381  0.00  0.00\\nATOM     79  O   VAL A   5      30.294  35.633  13.312  0.00  0.00\\nATOM     80  CB  VAL A   5      30.545  32.936  13.214  0.00  0.00\\nATOM     81  CG1 VAL A   5      30.920  32.988  14.708  0.00  0.00\\nATOM     82  CG2 VAL A   5      30.574  31.401  12.712  0.00  0.00\\nATOM     83  H   VAL A   5      29.420  33.990  10.806  0.00  0.00\\nATOM     84  HA  VAL A   5      28.384  33.087  13.542  0.00  0.00\\nATOM     85  HB  VAL A   5      31.326  33.498  12.670  0.00  0.00\\nATOM     86 HG11 VAL A   5      31.898  32.534  14.828  0.00  0.00\\nATOM     87 HG12 VAL A   5      30.955  34.017  15.086  0.00  0.00\\nATOM     88 HG13 VAL A   5      30.189  32.425  15.300  0.00  0.00\\nATOM     89 HG21 VAL A   5      31.562  30.999  12.926  0.00  0.00\\nATOM     90 HG22 VAL A   5      29.822  30.817  13.261  0.00  0.00\\nATOM     91 HG23 VAL A   5      30.373  31.329  11.650  0.00  0.00\\nATOM     92  N   LYS A   6      27.965  35.646  13.745  0.00  0.00\\nATOM     93  CA  LYS A   6      27.909  36.996  14.115  0.00  0.00\\nATOM     94  C   LYS A   6      28.641  37.256  15.410  0.00  0.00\\nATOM     95  O   LYS A   6      28.443  36.564  16.404  0.00  0.00\\nATOM     96  CB  LYS A   6      26.414  37.346  14.225  0.00  0.00\\nATOM     97  CG  LYS A   6      26.006  38.963  14.506  0.00  0.00\\nATOM     98  CD  LYS A   6      24.406  39.164  14.602  0.00  0.00\\nATOM     99  CE  LYS A   6      23.917  40.676  14.768  0.00  0.00\\nATOM    100  NZ  LYS A   6      22.402  40.758  14.905  0.00  0.00\\nATOM    101  H   LYS A   6      27.181  35.032  13.708  0.00  0.00\\nATOM    102  HA  LYS A   6      28.358  37.560  13.295  0.00  0.00\\nATOM    103  HB2 LYS A   6      25.897  37.007  13.320  0.00  0.00\\nATOM    104  HB3 LYS A   6      25.982  36.765  15.035  0.00  0.00\\nATOM    105  HG2 LYS A   6      26.438  39.306  15.462  0.00  0.00\\nATOM    106  HG3 LYS A   6      26.394  39.622  13.721  0.00  0.00\\nATOM    107  HD2 LYS A   6      23.925  38.772  13.706  0.00  0.00\\nATOM    108  HD3 LYS A   6      24.035  38.623  15.462  0.00  0.00\\nATOM    109  HE2 LYS A   6      24.368  41.125  15.651  0.00  0.00\\nATOM    110  HE3 LYS A   6      24.210  41.254  13.890  0.00  0.00\\nATOM    111  HZ1 LYS A   6      22.119  41.730  14.996  0.00  0.00\\nATOM    112  HZ2 LYS A   6      21.963  40.368  14.080  0.00  0.00\\nATOM    113  HZ3 LYS A   6      22.101  40.248  15.721  0.00  0.00\\nATOM    114  N   THR A   7      29.476  38.309  15.399  0.00  0.00\\nATOM    115  CA  THR A   7      30.227  38.651  16.624  0.00  0.00\\nATOM    116  C   THR A   7      29.621  39.825  17.418  0.00  0.00\\nATOM    117  O   THR A   7      28.713  40.489  16.922  0.00  0.00\\nATOM    118  CB  THR A   7      31.668  39.022  16.202  0.00  0.00\\nATOM    119  OG1 THR A   7      31.569  40.270  15.483  0.00  0.00\\nATOM    120  CG2 THR A   7      32.202  37.933  15.271  0.00  0.00\\nATOM    121  H   THR A   7      29.607  38.834  14.582  0.00  0.00\\nATOM    122  HA  THR A   7      30.271  37.786  17.264  0.00  0.00\\nATOM    123  HB  THR A   7      32.303  39.114  17.116  0.00  0.00\\nATOM    124  HG1 THR A   7      31.279  40.999  16.113  0.00  0.00\\nATOM    125 HG21 THR A   7      33.217  38.172  14.979  0.00  0.00\\nATOM    126 HG22 THR A   7      32.188  36.943  15.755  0.00  0.00\\nATOM    127 HG23 THR A   7      31.575  37.898  14.382  0.00  0.00\\nATOM    128  N   LEU A   8      30.132  40.069  18.642  0.00  0.00\\nATOM    129  CA  LEU A   8      29.607  41.180  19.467  0.00  0.00\\nATOM    130  C   LEU A   8      30.075  42.538  18.984  0.00  0.00\\nATOM    131  CB  LEU A   8      29.919  40.890  20.938  0.00  0.00\\nATOM    132  CG  LEU A   8      29.183  39.722  21.581  0.00  0.00\\nATOM    133  CD1 LEU A   8      29.308  39.750  23.095  0.00  0.00\\nATOM    134  CD2 LEU A   8      27.700  39.721  21.228  0.00  0.00\\nATOM    135  H   LEU A   8      30.862  39.480  19.017  0.00  0.00\\nATOM    136  HA  LEU A   8      28.528  41.234  19.328  0.00  0.00\\nATOM    137  HB2 LEU A   8      30.985  40.688  21.034  0.00  0.00\\nATOM    138  HB3 LEU A   8      29.684  41.778  21.525  0.00  0.00\\nATOM    139  HG  LEU A   8      29.617  38.783  21.235  0.00  0.00\\nATOM    140 HD11 LEU A   8      28.771  38.902  23.520  0.00  0.00\\nATOM    141 HD12 LEU A   8      30.360  39.689  23.374  0.00  0.00\\nATOM    142 HD13 LEU A   8      28.883  40.677  23.478  0.00  0.00\\nATOM    143 HD21 LEU A   8      27.213  38.871  21.706  0.00  0.00\\nATOM    144 HD22 LEU A   8      27.242  40.646  21.578  0.00  0.00\\nATOM    145 HD23 LEU A   8      27.583  39.645  20.147  0.00  0.00\\nATOM    146  O   LEU A   8      29.586  43.570  19.483  0.00  0.00\\nATOM    147  OXT LEU A   8      30.911  42.614  18.127  0.00  0.00\\nTER\\nENDMDL\\n\",\"pdb\");\n",
       "\tviewer_178852060859802.setBackgroundColor(\"white\");\n",
       "\tviewer_178852060859802.setStyle({},{\"cartoon\": {\"color\": \"spectrum\"}});\n",
       "\tviewer_178852060859802.addStyle({\"not\": {\"hetflag\": true}},{\"stick\": {\"radius\": 0.08, \"opacity\": 0.55}});\n",
       "\tviewer_178852060859802.setStyle({\"hetflag\": true},{\"stick\": {\"colorscheme\": \"orangeCarbon\", \"radius\": 0.22}});\n",
       "\tviewer_178852060859802.setHoverable({},true,\"function(atom,viewer) {\\n        if(!atom.label) {\\n            atom.label = viewer.addLabel(\\n                atom.chain + ':' + atom.resn + '(' + atom.resi + '):' +\\n                atom.atom + '(idx' + atom.serial + ')',\\n                {position: atom, backgroundColor:\\\"white\\\", fontColor:\\\"black\\\"}\\n            );\\n        }\\n    }\",\"function(atom,viewer) {\\n        if(atom.label) {\\n            viewer.removeLabel(atom.label);\\n            delete atom.label;\\n        }\\n    }\");\n",
       "\tviewer_178852060859802.zoomTo();\n",
       "viewer_178852060859802.render();\n",
       "});\n",
       "</script>\n",
       "</section>\n",
       "  </div>\n",
       "</div>\n",
       "<script>\n",
       "(() => {\n",
       "  const root = document.getElementById(\"tmol-switch-78a5de5c65f849f9a5628f3ba7197a9d\");\n",
       "  const select = document.getElementById(\"tmol-switch-78a5de5c65f849f9a5628f3ba7197a9d-select\");\n",
       "  const panels = root.querySelectorAll('.tmol-switch-panel');\n",
       "  select.addEventListener('change', () => {\n",
       "    panels.forEach((panel, index) => {\n",
       "      panel.style.visibility = index === Number(select.value) ? 'visible' : 'hidden';\n",
       "    });\n",
       "    window.dispatchEvent(new Event('resize'));\n",
       "  });\n",
       "})();\n",
       "</script>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "local_blocks = torch.zeros_like(start.block_type_ind, dtype=torch.bool)\n",
    "local_blocks[:, 2:7] = True\n",
    "displaced_blocks = torch.zeros_like(local_blocks)\n",
    "displaced_blocks[:, 3:5] = True\n",
    "local_coord_mask = res_mask_to_coord_mask(start, local_blocks) & start.real_atoms\n",
    "displaced_coord_mask = (\n",
    "    res_mask_to_coord_mask(start, displaced_blocks) & start.real_atoms\n",
    ")\n",
    "local_mainchain_mask = mainchain_mask & local_coord_mask\n",
    "\n",
    "perturbed = start.clone()\n",
    "displacement = torch.tensor(\n",
    "    [0.8, -0.6, 0.4], device=device, dtype=perturbed.coords.dtype\n",
    ")\n",
    "perturbed.coords[displaced_coord_mask] += displacement\n",
    "\n",
    "# The coordinate-constraint targets were created from the unperturbed start.\n",
    "coordinate_rescue_start = attrs.evolve(\n",
    "    perturbed.clone(), constraint_set=constrained_start.constraint_set\n",
    ")\n",
    "\n",
    "anchor_block, rescued_block = 1, 4\n",
    "anchor_ca = start.block_type(0, anchor_block).atom_to_idx[\"CA\"]\n",
    "rescued_ca = start.block_type(0, rescued_block).atom_to_idx[\"CA\"]\n",
    "anchor_coord = int(start.block_coord_offset64[0, anchor_block]) + anchor_ca\n",
    "rescued_coord = int(start.block_coord_offset64[0, rescued_block]) + rescued_ca\n",
    "rescue_target_distance = torch.linalg.vector_norm(\n",
    "    start.coords[0, anchor_coord] - start.coords[0, rescued_coord]\n",
    ")\n",
    "rescue_atoms = torch.tensor(\n",
    "    [[[0, anchor_block, anchor_ca], [0, rescued_block, rescued_ca]]],\n",
    "    dtype=torch.int32,\n",
    "    device=device,\n",
    ")\n",
    "rescue_params = torch.zeros((1, 4), dtype=torch.float32, device=device)\n",
    "rescue_params[0, 0] = rescue_target_distance\n",
    "rescue_params[0, 1] = 0.5\n",
    "rescue_distance_set = ConstraintSet.create_empty(device, 1).add_constraints(\n",
    "    ConstraintEnergyTerm.harmonic,\n",
    "    rescue_atoms,\n",
    "    rescue_params,\n",
    ")\n",
    "distance_rescue_start = attrs.evolve(\n",
    "    perturbed.clone(), constraint_set=rescue_distance_set\n",
    ")\n",
    "\n",
    "rescue_budget = {\"max_iter\": 15}\n",
    "rescue_variants = {\n",
    "    \"perturbed input\": perturbed,\n",
    "    \"unconstrained rescue\": run_cart_min(\n",
    "        perturbed.clone(),\n",
    "        score_function,\n",
    "        coord_mask=local_coord_mask,\n",
    "        optimizer_kwargs=rescue_budget,\n",
    "    ),\n",
    "    \"reference coordinate rescue\": run_cart_min(\n",
    "        coordinate_rescue_start,\n",
    "        score_function,\n",
    "        coord_mask=local_coord_mask,\n",
    "        optimizer_kwargs=rescue_budget,\n",
    "    ),\n",
    "    \"reference distance rescue\": run_cart_min(\n",
    "        distance_rescue_start,\n",
    "        score_function,\n",
    "        coord_mask=local_coord_mask,\n",
    "        optimizer_kwargs=rescue_budget,\n",
    "    ),\n",
    "}\n",
    "\n",
    "rescue_rows = []\n",
    "for label, pose_stack in rescue_variants.items():\n",
    "    components = score_components(pose_stack, score_function)\n",
    "    observed_distance = torch.linalg.vector_norm(\n",
    "        pose_stack.coords[0, anchor_coord] - pose_stack.coords[0, rescued_coord]\n",
    "    )\n",
    "    rescue_rows.append(\n",
    "        {\n",
    "            \"state\": label,\n",
    "            **components,\n",
    "            \"local_mainchain_RMSD_from_reference_A\": rms_displacement(\n",
    "                start, pose_stack, local_mainchain_mask\n",
    "            ),\n",
    "            \"reference_distance_error_A\": abs(\n",
    "                float(observed_distance.detach().cpu())\n",
    "                - float(rescue_target_distance.detach().cpu())\n",
    "            ),\n",
    "            \"movable_atoms\": int(local_coord_mask.sum().item()),\n",
    "            \"optimizer_budget\": (\n",
    "                \"input only\"\n",
    "                if label == \"perturbed input\"\n",
    "                else \"15-iteration smoke test; convergence not assessed\"\n",
    "            ),\n",
    "        }\n",
    "    )\n",
    "rescue_frame = pd.DataFrame(rescue_rows)\n",
    "show_table(rescue_frame)\n",
    "\n",
    "fig, axis = plt.subplots(figsize=(7, 4.5))\n",
    "axis.scatter(\n",
    "    rescue_frame[\"local_mainchain_RMSD_from_reference_A\"],\n",
    "    rescue_frame[\"non_constraint_score_units\"],\n",
    "    s=70,\n",
    ")\n",
    "for row in rescue_frame.itertuples():\n",
    "    axis.annotate(\n",
    "        row.state,\n",
    "        (\n",
    "            row.local_mainchain_RMSD_from_reference_A,\n",
    "            row.non_constraint_score_units,\n",
    "        ),\n",
    "        xytext=(5, 5),\n",
    "        textcoords=\"offset points\",\n",
    "        fontsize=8,\n",
    "    )\n",
    "axis.set(\n",
    "    xlabel=\"local main-chain RMSD from reference (Å)\",\n",
    "    ylabel=\"weighted non-constraint score\",\n",
    "    title=\"Score improvement and structural recovery are distinct\",\n",
    ")\n",
    "axis.grid(alpha=0.3)\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "display(\n",
    "    tmol.switchable_view(\n",
    "        {\"reference\": start, **rescue_variants},\n",
    "        notes={\n",
    "            \"reference\": \"Unperturbed eight-residue reference\",\n",
    "            **{\n",
    "                row.state: (\n",
    "                    f\"local main-chain RMSD \"\n",
    "                    f\"{row.local_mainchain_RMSD_from_reference_A:.3f} Å; \"\n",
    "                    f\"distance error {row.reference_distance_error_A:.3f} Å; \"\n",
    "                    f\"non-constraint score {row.non_constraint_score_units:.2f}\"\n",
    "                )\n",
    "                for row in rescue_frame.itertuples()\n",
    "            },\n",
    "        },\n",
    "    )\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "rescue-observations",
   "metadata": {},
   "source": [
    "**Expected observations.** All three minimized states should reduce the severe score penalty created by the displacement, but their structural recovery need not track score improvement exactly. Reference coordinate restraints should generally pull the moved main chain closer to the known starting geometry. One scalar distance restraint supplies much less information and cannot uniquely determine a local conformation. Finite output after 15 iterations is smoke-test evidence only; convergence and recovery quality must be assessed separately.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e3e673b7",
   "metadata": {},
   "source": [
    "## Rosetta comparison\n",
    "\n",
    "Rosetta's `MinMover` and Cartesian minimization use a `MoveMap` to select internal or Cartesian degrees of freedom. TMol separates these concepts into `MoveMap` for named torsion/jump DOFs and `CartesianMoveMap` for per-atom coordinate masks that apply across a `PoseStack`. Rosetta Cartesian workflows commonly choose a Cartesian-ready score function; TMol beta2016 already weights its five `cart_*` bonded terms.\n",
    "\n",
    "Rosetta `FoldTree` can root on a physical residue and combines chemical and jump connectivity in one tree. TMol `FoldForest` is batched, always uses a virtual root, and its automatic builder follows polymer connectivity but not disulfides; use validated custom edges when needed.\n",
    "\n",
    "Rosetta supports text constraint files and ambiguous or multi constraints. TMol instead assembles supported harmonic distance/coordinate, bounded-distance, and circular-harmonic torsion constraints through `ConstraintSet` and `ConstraintEnergyTerm`; it has no Rosetta constraint-file parser, ambiguous-constraint layer, or dedicated three-atom angle constraint. Circular-harmonic torsion differences are compared periodically across the −π/+π boundary.\n",
    "\n",
    "For executable PyRosetta context, compare [05.01 — High-Resolution Movers](https://nbviewer.org/github/RosettaCommons/PyRosetta.notebooks/blob/master/notebooks/05.01-High-Res-Movers.ipynb) and [05.02 — Refinement Protocol](https://nbviewer.org/github/RosettaCommons/PyRosetta.notebooks/blob/master/notebooks/05.02-Refinement-Protocol.ipynb). The APIs and numerical defaults are not interchangeable; reproduce a protocol only after matching its score function, active degrees of freedom, restraints, and optimizer settings.\n",
    "\n",
    "The [Rosetta-to-TMol crosswalk](rosetta_crosswalk.md) summarizes these API and protocol boundaries.\n",
    "\n",
    "## Next: compose packing and minimization\n",
    "\n",
    "After completing the parallel packing/design branch in [Tutorial 04](04_packing_and_mutation_scan.ipynb), continue to [06 — FastRelax](06_fast_relax.ipynb), which alternates packing with the Cartesian or kinematic minimization interfaces used here."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "339b5ce0",
   "metadata": {},
   "source": [
    "## Exercises\n",
    "\n",
    "1. Change the Cartesian coordinate mask so only residues 3–5 move, then compare the displacement table.\n",
    "2. Disable side-chain torsions in the kinematic `MoveMap` and enable only main-chain torsions for selected blocks.\n",
    "3. Replace the one Cα–Cα harmonic restraint with a tested `ConstraintEnergyTerm.bounded` distance constraint and verify its two-pose replication.\n",
    "4. Build a two-chain slice and compare its automatic forest with an explicit `FoldForest.from_edges()` definition.\n",
    "5. Apply `create_mainchain_coordinate_constraints()` to a mixed protein–nucleic-acid pose and inspect the atoms selected from each residue type's declared main chain."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "86c27616",
   "metadata": {},
   "source": [
    "## References\n",
    "\n",
    "- [Rosetta-to-TMol crosswalk](rosetta_crosswalk.md)\n",
    "- [Rosetta minimization tutorial](https://docs.rosettacommons.org/demos/latest/tutorials/minimization/minimization)\n",
    "- [Rosetta constraints tutorial](https://docs.rosettacommons.org/demos/latest/tutorials/Constraints_Tutorial/Constraints)\n",
    "- [Rosetta FoldTree tutorial](https://docs.rosettacommons.org/demos/latest/tutorials/fold_tree/fold_tree)\n",
    "- [PyRosetta 05.01 — High-Resolution Movers](https://nbviewer.org/github/RosettaCommons/PyRosetta.notebooks/blob/master/notebooks/05.01-High-Res-Movers.ipynb)\n",
    "- [PyRosetta 05.02 — Refinement Protocol](https://nbviewer.org/github/RosettaCommons/PyRosetta.notebooks/blob/master/notebooks/05.02-Refinement-Protocol.ipynb)\n",
    "- [Rosetta `FoldTree.hh`](https://github.com/RosettaCommons/rosetta/blob/main/source/src/core/kinematics/FoldTree.hh)\n",
    "- [Rosetta `ConstraintSet.cc`](https://github.com/RosettaCommons/rosetta/blob/main/source/src/core/scoring/constraints/ConstraintSet.cc)"
   ]
  }
 ],
 "metadata": {
  "accelerator": "GPU",
  "colab": {
   "gpuType": "T4"
  },
  "language_info": {
   "name": "python"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}