diff --git a/.gitignore b/.gitignore
index 57a75c6f899c7c5482e7dd9445f98101fde2be61..2b7bf79a28f8f9ad104869e298d95f08cd725860 100644
--- a/.gitignore
+++ b/.gitignore
@@ -4,6 +4,8 @@ plots_and_expressions.*
 !plots_and_expressions.ipynb
 examples.*
 !examples.ipynb
+characteristic_curves.*
+!characteristic_curves.ipynb
 filtered_sage.txt
 _minted-main/*
 sage-plots-for-main.tex
diff --git a/main.tex b/main.tex
index 00cd7c3ca48258d7646904f8a77fdbf8dd24948a..0f6fef2bd86f0311d26529625dc2502caea32b01 100644
--- a/main.tex
+++ b/main.tex
@@ -315,7 +315,7 @@ side of $V_v$.
 
 
 \begin{sagesilent}
-from plots_and_expressions import \
+from characteristic_curves import \
 typical_characteristic_curves, \
 degenerate_characteristic_curves
 \end{sagesilent}
@@ -446,7 +446,7 @@ Recalling how the sign of $\nu_{\alpha,\beta}(\pm u)$ changes (illustrated in
 Fig \ref{fig:charact_curves_vis}), we can eliminate cases 1 and 2.
 
 \begin{sagesilent}
-from plots_and_expressions import \
+from characteristic_curves import \
 hyperbola_intersection_plot, \
 correct_hyperbola_intersection_plot
 \end{sagesilent}
diff --git a/plots_and_expressions.ipynb b/plots_and_expressions.ipynb
index 940bd859c7668f1d82b21f35b36cf19180850b13..b9cfa9214f403b3c15fcac27a8cda36f3e2ff154 100644
--- a/plots_and_expressions.ipynb
+++ b/plots_and_expressions.ipynb
@@ -1,5 +1,13 @@
 {
  "cells": [
+  {
+   "cell_type": "markdown",
+   "id": "8ebd0216",
+   "metadata": {},
+   "source": [
+    "# Utilities"
+   ]
+  },
   {
    "cell_type": "code",
    "execution_count": 1,
@@ -30,273 +38,6 @@
     "  pass"
    ]
   },
-  {
-   "cell_type": "markdown",
-   "id": "bdce1afd",
-   "metadata": {},
-   "source": [
-    "# SECTION: Introduction"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "id": "e8391b31",
-   "metadata": {},
-   "source": [
-    "# SECTION: Setting and Definitions: Clarifying \"pseudo\""
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "id": "5da7dba0",
-   "metadata": {},
-   "source": [
-    "## SUBSECTION: Relevance of the Vertical Line $V_v$"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 2,
-   "id": "5e309df3",
-   "metadata": {},
-   "outputs": [],
-   "source": [
-    "def charact_curves(v):\n",
-    "    alpha = stability.Tilt().alpha\n",
-    "    beta = stability.Tilt().beta\n",
-    "    coords_range = (beta, -4, 5), (alpha, 0, 4)\n",
-    "    text_args = {\"fontsize\":\"xx-large\", \"clip\":True}\n",
-    "    black_text_args = {\"rgbcolor\": \"black\", **text_args}\n",
-    "    p = (\n",
-    "      implicit_plot(stability.Tilt().degree(v), *coords_range )\n",
-    "      + line([(mu(v),0),(mu(v),5)], linestyle = \"dashed\")\n",
-    "      + text(r\"$\\Theta_v^+$\",[3.5, 2], rotation=45, **text_args)\n",
-    "      + text(r\"$V_v$\", [0.43, 1.5], rotation=90, **text_args)\n",
-    "      + text(r\"$\\Theta_v^-$\", [-2.2, 2], rotation=-45, **text_args)\n",
-    "      + text(r\"$\\nu_{\\alpha, \\beta}(v)>0$\", [-3, 1], **black_text_args)\n",
-    "      + text(r\"$\\nu_{\\alpha, \\beta}(v)<0$\", [-1, 3], **black_text_args)\n",
-    "      + text(r\"$\\nu_{\\alpha, \\beta}(-v)>0$\", [2, 3], **black_text_args)\n",
-    "      + text(r\"$\\nu_{\\alpha, \\beta}(-v)<0$\", [4, 1], **black_text_args)\n",
-    "    )\n",
-    "    p.xmax(5)\n",
-    "    p.xmin(-4)\n",
-    "    p.ymax(4)\n",
-    "    p.axes_labels([r\"$\\beta$\", r\"$\\alpha$\"])\n",
-    "    return p\n",
-    "\n",
-    "v1 = Chern_Char(3, 2, -2)\n",
-    "v2 = Chern_Char(3, 2, 2/3)"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 3,
-   "id": "00428146",
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "image/png": 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s2cO5y5/GxI70qnp1Oa9s3bpymqT+/YHkZKWjMm8zZsxAaSaYWblyJTZs2KC/gKiABw9kq8ODB0pHUr5Ke2zqC49x4/Dvv7JIflQU0KCBvNZUrap0VIaHiV0eHBWrH3XqyAmXa9QAQkOBwYPlhMxU/lasWIH09HS8UYqiTt7e3ti1a5fBtawcOHAAnTt3hpeXFzp37ozBgwfjypUrSodFGtLHsakvhnqMAzzO1R49AgYNkn3ratWS1xgXF6WjMlCCCkhKShIARFJSktKhGLXz54WwtxcCEGLIECEyMpSOyLxcv35d1K9fXzx8+LDUn/XgwQPh7u4url27pofISu/nn38WFhYWYuvWrTnrFi1aJOzt7cX58+cVjEw3oaHy7yQ0VOlIyoc+j019MbRjXAjTO851lZ4uxMCB8m/E0VGIixeVjqj8aZOXMLErBBM7/Tl6VAhbW/kH+eabQmRnKx2R+ejXr5/46quv9PZ5a9euFc8995zePq8wV69eFWfPni12m+TkZPHMM8+I7t2751ufmZkpnnnmGeHh4SGysrLKMky9M7fETt/Hpr6UxzGuKVM8znWRlSXE6NHy78POTojjx5WOSBna5CW8FUtlqls3ORGzhYWcduyDD5SOyDyEhYXh2LFjer3NNXbsWERHR+OXX37R22eqXbx4ESNGjECvXr0QExNT7LY//fQTYmNj8eqrr+Zbb2lpiZEjRyI8PBzHjx/Xe4xlqXZtOUVf7dpKR1L2yuLY1JeyPMa1ZYrHubaEkLNI/PADYGUl+6F26aJ0VIaPiR2VuSFDgHXr5PPPPwe++ELRcMxCYGAgevbsiSpVqujtM21tbTFx4kR89tlnevvM8+fPY8iQIRgwYAA6deqEv/76Cy+//HKx79m9ezcAoF27dgVea9OmDQAYxIVZG7VqAb6+cmnqyuLY1BddjvEWLVpg9uzZuHfvnl5jMcXjXFuffgosXy6fb9gADByoaDhGg4ldHhw8UXbGj5dJHQDMmiVb76js7NixA15eXnr/3B49euDkyZO4e/duqT7nzJkzGDBgAIYNG4bevXvjr7/+wowZM1BRg7oFFy9eBADUq1evwGt169YFAISHh5cqvvL24AGwe7d5jIotq2NTX7Q9xg8fPoyMjAy0aNECPj4+iIuL00scpnica2PtWmDePPn866/ltGGkGSZ2eXBKsbL1/vsyqQOAiRPlhcyYPHjwAHv27MGGDRuwbNkynDlzptDtdu7ciUuXLpVzdLmuX7+Ov//+Gx07dixym08++QSenp5o1aoVzp49m7M+Ozsbffv2RbNmzZCWllbgfR07doSVlRX27NmjU2whISF44YUX8Nprr2Hw4MH4888/MXXqVNjZ2Wn0/szMTERHRwMAqhZS56BatWoAgPj4eJ3iU0pUlBw9rmsdO1M6NvVJl+Nc22O8Vq1aWLZsGa5evQorKyu0atUK06ZNw507d3SO21SPc039+KOc9xUA5s4F3nlH2XiMDRM7KldLlgDjxgHZ2cDIkUBIiNIRae7OnTs4ceIEFi5ciPfee6/Qb+ZXr17Fyy+/rGjZhNDQUACAh4dHoa8HBwcjPT0d586dQ9OmTTFjxoyc1x49eoSzZ88iMjKy0NaAChUqwMPDQ+svP4cPH0b37t0xfvx4jBo1Cjdu3MCkSZNgo2W5+JSUFGRlZcHS0hJWVlYFXre1tQUgEx1zYirHpj7pepzreow7Ozvj888/x7Vr11C5cmW0adMGkydPxq1bt7SO3ZyP899+k61zQgCTJgGLFikdkfEx+MRu9erVaNWqFRwcHODg4AAvLy/s37+/2PccO3YM7dq1g52dHRo0aIA1a9aUU7RUEpVK9rd76SVZ227QIMBY7ia0bNkSn332GZ599lmoVCp069atwDZbtmyBEAJDhw4tsziSk5Px9ddfY/HixVi4cCEyMzPzvR4VFQWVSlXoN30ACAoKwkcffQQA+OOPP6DKM2t25cqVsXbtWgC5F4+nubi44PLlyxrFeuDAAXTq1AnTpk3DhAkTcP36dYwbN67Qi5UmUlNTAaDI91v+N1lkUlKSTp9vrEzl2NSn0hzn2hzjT6tRowb8/PwQGRkJJycneHp6Yvz48fjrr780/gxzPc7Pn5d9sjMy5EwsAQHymkFaKvMxuqW0e/dusXfvXhEZGSkiIyPFnDlzhLW1tbhy5Uqh20dFRYmKFSuK6dOni4iICBEYGCisra3FTz/9pPE+We6k7D16JETXrnIIe82aQvz5p9IRaSY7O1tUq1ZNeHh4FHjtyZMnwtXVVbRv377M9n/r1i0xe/ZskZiYKISQ5RlmzJiRb5upU6cKe3v7Qt8fHh4u5s+fL4QQ4tq1awKAWLJkSYHtnJ2di6wxNnbsWFG7du0SY+3SpYuoUaOG2Lp1q97KMsTGxgoAwtbWttDXL1++LAAIR0dHveyvvOij3ImxH5v6VNrjXNNjXBP//vuvWLBggXBychJjxowR169fL/E9pnqcF+f6dSFq1JB/B716CfHkidIRGRZt8hLdvjaXo0GDBuX79+LFi7F69WqcOXMGLVq0KLD9mjVrULduXfj7+wMAmjdvjvPnz2Pp0qVFjrZLS0vL188imXNglbkKFWQfu27dgIsX5byyJ08a/qjAixcvIjExEWPHji3w2tq1a3Hnzh1s2bKlTPadlZWFwMBALF68OOcbe+3ateHv749ly5blbPfo0SM4ODgU+hmtW7dG69atAcg5Oi0sLDBmzJh82wgh0KpVK1SqVKnQz6hWrZpGLQU+Pj746KOPsHz5cjg6OqJfv34a/ZzFsbe3L/Z1dUtH5cqVS72v8mRnJ+dY1rCrYaGM/dhUe/XVV3XqOzZ27FiMGzcOQOmPc02PcU1UqVIF8+fPx4wZM7BixQp07doVPXv2xCeffIKGDRsW+h5TPc6LcueOvAYkJABt2wI7dwJF3DAgDRh8YpdXVlYWfvzxR6SmphY5qur06dPo06dPvnV9+/ZFUFAQMjIyYG1tXeA9fn5++Pjjj8skZiqaoyNw4ADQqZPsNN6/P3D0qFxvqI4ePQoA6N69e771MTExWLBgAaZMmYLOnTuXyb6DgoIwbty4nAsnAERERBQYNWdtbY3s7OwSP2/z5s3w8vJC7aeKp128eBEdOnQo8n2VKlXCEw3miBs6dCiGDBmCnTt3Ys6cOZg/fz4+/PBDvPjiiyW+tyj29vZwdHRESkpKoa8/evQIgLyVZkzc3YGrV0v3GaZybG7dulWvselynGt6jGvDwcEBb7/9NhITE7FixQp069at2MTOFI/zwiQmAn37AtHRQJMmwP79QAl5LZXA4PvYAcDly5dRuXJl2NraYvLkydi5cyfc3d0L3TY+Ph41a9bMt65mzZrIzMxEQkJCoe/x9fVFUlJSzqOkAqmkP+o5/2rWlH3tDH1e2SNHjsDCwgJdu3bNWZeRkYHRo0ejbdu2OS3FaidOnMD8+fMxa9Ys/Pjjj6Xad1xcXIELwZYtWzBx4sR86xwdHXNO/EW5du0aoqOjC3wJUn9mcbXknjx5olFZEgBQqVQYNmwYLly4gHnz5mHhwoVo27Ytdu7cqfPk7+7u7sjOzkZiYmKB19QtPY0bN9bps42ZqRyb+qTrca7NMa6J+/fvY+7cuWjatCkeP36MP//8E5MnTy72PeZwnKvnf42IkMW5Dx4EnJ2Vjsr4GUVi17RpU4SHh+PMmTOYMmUKxo4di4iIiCK3Vz3V21J9AXl6vZqtrW3O4Az1g8pPo0ay5c7BATh2DHjtNSArS+moCsrOzkZISAjatGmTU1w1PT0dw4cPR+XKlbFjx458LcLz5s3D+vXr8dFHH2HJkiVYvnx5zq2wjRs34vHjxxrvOyoqCq6urgDk5Onz58/H0KFD8fzzz2PYsGH5tq1bty6SkpKKbXG4du0aAPm3ldfDhw9x+fLlnAKohUlKSirw5UkTgwYNwv/93//h008/xdKlS9G6dWts375do9bFvLr8V3r+aiFNXOrJ0fMmN8YgPFwe/7oOJDKlY1OfdD3OdT3Gn3bv3j3Mnj0bzZs3R0pKCsLCwrBq1aqcOnTFMcXjPK+MDFkZ4dQpoEoV4NdfgUJK9pEOjCKxs7GxQaNGjdC+fXv4+fmhdevW+PrrrwvdtlatWgX6Z9y7dw9WVlaoXr16eYRLOvDwkH3ubG2BXbtkDSMdG3TKTFhYGB48eIAePXoAAG7fvo0+ffqgSZMm+OWXX/J9Ifj++++xefNmBAQEwNLSEhYWFhg1ahQ+/fRTALKeV4UKFTTe94kTJ3JuoyUnJ0MIgaysrEJrZalbs2/fvl3k56nrxj3dl2fBggWYpS42WIQ7d+6gQYMGGsf+tH79+uHkyZP46quvsGrVKrRs2RKbN29GlobZvLqVZd++fQVe27NnD6ytrTFkyBCd41NCdjaQkiKXujClY1OfdD3OS3uMx8fHw8fHBy1atEBGRgYuXbqE5cuX45lnntH4M0zxOFfLzgYmTAB++UX2K92zB2jZUumoTEiZDuMoIz179hRjx44t9LVZs2aJ5s2b51s3efJk0bFjR40/n6NilRMcLIRKJUdGffih0tHkt3TpUgFAbNiwQSxatEgMGjSo0AnrMzMzRZ06dcTnn3+eb/2ePXuESqUSkZGRIjAwUKt9+/r6iuzs7HzrEhMTBQDx51NDih8+fCisrKzEtm3bivy8+/fvCycnJzFhwoScdQEBAQVGMRbGzc1N+Pr6ahV/cUJCQkTv3r1FkyZNxIYNG0RGRkaJ7+nVq5eoWrWqSEhIyFl34sQJAUDMnTtXb7GVl9KOijWlY1OfdD3OdT3G79y5I6ZNmyacnJzErFmzxL1797T+jLxM7ThXmzlTHu+WlkL88ovS0RgHbfISg0/sfH19RUhIiLh586a4dOmSmDNnjrCwsBAHDx4UQgjxwQcfiDFjxuRsry53MmPGDBERESGCgoJY7sTIrFkj/+gBIZYvVzqaXCNGjBB169YVM2bMECEhIUVud/LkSQFAXL16Nd/6I0eOCADC29tbPH78WKt9z549u8C6hIQEASDnbyGvnj17iqlTpxb7maGhoeKFF14QHTt2FF26dBGLFy8usSyJ+oK9f/9+reLXxOnTp0X//v3FvHnzStw2NjZWeHh4CA8PD7F161bx7bffChcXFzF48GDxxAjrJJQ2sTO1Y1OftD3OdTnGb9++LSZPniycnJzEnDlz8iVipWFqx7kQQnz5Ze75fcMGpaMxHiaV2L355puiXr16wsbGRjg5OYlevXrlO1mMHTtWdOvWLd97jh49Ktq0aSNsbGxE/fr1xerVqzXa18qVK0Xz5s1FkyZNmNgpbOFC+YevUgmxdavS0Whny5YtwsrKqkArhvriGRwcrNXnPXjwQCxcuLDA+tOnTxd6kRZCiMDAQFG/fv0CMZTW1q1bhaOjo0hLS9Pr5+oiKytL/Prrr+LLL78US5cuFSdOnFA6JJ3po46dJkz52NQXbY/xKVOmCGdnZzF//vycGn76ZErH+caNuUndZ58pHY1xManETglssVNedrYQ3t7yBGBtLcRvvykdkeaOHj0qKlWqVGD9rl27BADx4MEDrT7vwIEDYs2aNQXWz549WzRu3LjQ9zx+/Fg4OzuL33//Xat9lWTEiBHl2tpiLlJTZVKXmlq2+zHlY1NftD3Gt23bxmuFBvbtk7deASFmzJDneNKcNnmJUQyeIPOjUgFffy2nlcnIkNPM/DfNpMHr3LkzGjVqhJD/JsLNyMjAhg0bcOPGDVSsWBHx8fH45ptvcrYPCgqCq6trkeV4zpw5U6AEz6NHj/D999/ndHh/mp2dHRYsWIAlS5bo6acC7t69i3379sHHx0dvn0lSxYqyMKseK2wUylSPTX3R5Rh/5ZVXWEmhBGfPAsOHy2oHo0cDS5dyqrCyxMSODJalJfD990DPnsDDh8CAAcCffyodVcmsrKxw6NAhHDhwAIsWLcLSpUvRsWNHzJw5Ez/88ANWrVqFZs2a5WyfnZ2NJ0+e4MyZM4V+XlJSEipVqpQzKXl6ejomTpyICRMmYPjw4UXGMWnSJKSmpuKXX37Ry8+1cOFCvPPOO3Bzc9PL51Gu6GjA21suy5KpHpv6wmNc/yIjgYEDZc26fv2A9esBC2YeZascWhCNDm/FGpakJCHatJFN+G5uQsTHKx2R/j148KDQ/k2ZmZk5ow7XrVsn5s6dK2bOnKnxbay4uDjRvn17ERsbW6r4jh8/Ljp06KB1x3rSTHn1sdOFoR+b+sJjXP/u3BGiXj15bHt6CpGSonRExot97EqJiZ3hiYsTokEDeYJo21aI5GSlI9Kv3bt3i1u3bhVYHxYWJrZv316qz46KihIjRozQ+f0xMTGiR48eIiYmplRxUNEMObEz5GNTX3iM69+//wrRsqU8rhs3FqKUlV/MHvvY6SggIADu7u7w9PRUOhR6Sq1acnYKJyfgwgVg6FAgLU3pqPQjIyMD4eHhBebVBIBTp06Vurq8m5sbtm/frvP7L126hC1btqBOnTqlioOMj6Efm/rCY1y/njwBXnoJuHIFcHGRU4U5OSkdlflgYpeHt7c3IiIicvqLkGFp3BjYtw+oVAk4fBgYO1b3Sv2GJDo6Gm+99Vahr1WtWlUvUxuVxoABAxSPgZRh6MemvvAY15+sLOD114Hjx+U0eQcOAPXrKx2VeVEJYWgTNykvOTkZjo6OSEpK4mgnA3TokOyMm5EBvPsusGwZR1iRcbtzRx7HPj4AG43IWAkBTJ0KrFoF2NjI+V+7d1c6KtOgTV7CFjsyOi+8AGzYIJ/7+wNffqlkNESlV6eOTOyY1JExW7xYJnUqFbBpE5M6pTCxI6M0apSshQQA778vTyJExurhQ+D0abkkMkbffgt8+KF8vmKFrEFKymBiR0bLxweYMUM+HzdOdtAlMkZ//AF06iSXRMZm715A3RVzzhxZk5GUw8QuD46KNS4qlWy1GzUKyMwEhg0zntkpiIhMwdmzsnUuK0sOaPvkE6UjIiZ2eXBUrPGxsJCVzHv3BlJT5ewUUVFKR0VEZPrUs0o8fixnlQgM5EA2Q8DEjoyejQ0QHAx4eAD37gF9+8olERGVjfh4mczdvw94egI//QRYWysdFQFM7MhEODjIGnf168v5ZAcOlC14RMbAygqoUUMuiQxdSoo8x966BTRqJPvYVaqkdFSkxsSOTIaLi6ybVL06cP48MHKk7HtHZOhatQL++UcuiQxZejrw8styBiAnp9wZgchwMLEjk9KkCfDLL0CFCvJb5JQpsmgmERGVjhDA+PGySHylSvIc27Ch0lHR05jY5cFRsaahY0dg61Y5sOKbb4CPP1Y6IqLiXb0qb2ldvap0JERFmzNH1gy1tJR96nipNExM7PLgqFjT8dJLQECAfP7xxzLBIzJUaWnAX3/JJZEhWr0aWLJEPg8MlAMnyDAZfGLn5+cHT09P2Nvbw9nZGUOGDEFkZGSx7zl69ChUKlWBx/Xr18spajIEkycDc+fmPt+3T9l4iIiM0a5dcg5YAFiwQBaEJ8Nl8IndsWPH4O3tjTNnzuDQoUPIzMxEnz59kKrBkMfIyEjExcXlPBo3blwOEZMhWbRIFs3MypJFNM+fVzoiIiLjceoU8NprQHY2MHEi8NFHSkdEJTH4wfUHDhzI9+/169fD2dkZoaGh6Nq1a7HvdXZ2RpUqVcowOjJ0KhWwbh1w967s8DtwoJyTs0EDpSMjIjJsf/whu7U8eSLPnatWsQCxMTD4FrunJSUlAQCqVatW4rZt2rSBi4sLevXqhSNHjhS5XVpaGpKTk/M9yHTY2MiOvq1by8LF/foBCQlKR0WUq1EjWTaiUSOlIyGS7t2TM/moCxBv28Y6i8bCqBI7IQR8fHzQpUsXtGzZssjtXFxcsG7dOgQHB2PHjh1o2rQpevXqhZCQkEK39/Pzg6OjY87D1dW1rH4EUoiDA7B/P1CvHnDjhvwW+vix0lERSQ4OcsYUBwelIyGSxd1ffFEO6HFzA/bsYQFiY6ISwniqfHl7e2Pv3r04ceIE6tSpo9V7Bw0aBJVKhd27dxd4LS0tDWl5hqMlJyfD1dUVSUlJcOCZ1qRcuwZ06gQ8eCCLbG7fLsuiECkpLg5YuxaYNEkW2iZSSmYmMGSIrFFXvTpw8iTQtKnSUVFycjIcHR01ykuM5pI2bdo07N69G0eOHNE6qQOAjh074saNG4W+ZmtrCwcHh3wPMk3Nm8sRXur5ZX18lI6ISCZ2H38sl0RKEQKYNk0mdXZ2wO7dTOqMkcEndkIITJ06FTt27MDvv/8ONzc3nT4nLCwMLvwqTAC6dQO++04+//pr4KuvlI2HiMgQfPEFsGaNHCDxww/y7gYZH4PvCunt7Y3Nmzfj559/hr29PeLj4wEAjo6OqFChAgDA19cXsbGx2LhxIwDA398f9evXR4sWLZCeno5NmzYhODgYwcHBiv0cZFhefRWIjgZmzwbeew+oW1femiUiMkebN8vzISC/7A4bpmw8pDuDT+xWr14NAOjevXu+9evXr8cbb7wBAIiLi0N0dHTOa+np6Zg5cyZiY2NRoUIFtGjRAnv37sWAAQOK3VdAQAACAgKQlZWl15+BDNP77wO3b8sh/K+/DtSuDXh5KR0VEVH5OnYst+jw9OnyQcbLqAZPlBdtOimSccvMBIYOBX75BahRQ9a4Y8kJKm83bwIffigLauvY24RIJxxQZhy0yUuY2BWCiZ15efgQ6N4dCA2VSd3p0zLJIyIyZffuAR07yi8WXl7A4cPAfz2cyMCY5KhYorJSubIcBVa/PvDnn6xxR+XvyRN57D15onQkZC7Utepu3pQz8fz8M5M6U8HEjghAzZrAvn1AlSqyxe6NN+TciETlISICaNxYLonKWlYWMGoUcO4cUK2aLN7u5KR0VKQvTOyI/tO8ObBjh5w2Z/t2wNdX6YiIiPTvvfdkjTpbW7ls0kTpiEifmNjlERAQAHd3d3h6eiodCimkRw8gKEg+//xzORsAEZGpWLlS1u8EgI0bgc6di9726bsWef/N3vmGi4ldHt7e3oiIiMC5c+eUDoVKqbiTTkm3WP/3PzkLAAB4e8vJ2YmIjN2ePbmlTPz8gFdeKbhNRgawbZvsg2dhkXu+zM6W/87IAP75RxYxJsPExI5MUloacP++nOcwJAT4v/+TJyNAs6H8H34IjB0r+6K88gpw+XLZxktEVJZCQ2Vh9uxsYPz43GLET7O2ltu8/76sGGBhAaSn5y5ff13eviXDxXInhWC5E+MiRO63xydPgEOHgMBAICwMiI0FKlaU69u3B+rUkUlbgwaAvX3xn5ueDvTtCxw9Cri6AmfOyCLGRETGJCYG6NBBzkXcp4+s22ltXfx7vv8eOH8eWLgQcHSUlQKmTgVatgRmzCifuCkX69iVEhM745E3qTt8WA56CAyU/27bFnjuOWD0aMDSUo76CgqSk1tXrw6MGAE4Oxf/+YmJsnhnZKT8vJAQoFKlsv2ZiIj0JSUF6NIFuHRJJmUnTwLFXdbynlM3bACuXgU++ACYOxdo2FC25AG5t2apfLCOHZkN9Qlo2zZgwYLcpG7OHODXXwF/f9k5uGNHeVL69FM504SFhew7l5VVfH+8atVkGRQnJ+DCBVkigDPOkb5FRsoCsZGRSkdCpiQzExg5UiZ1NWvKlrqS2ipUqtxz4htvyGoBXbvK+bSZ1BkH/mry4KhY4/Tbb8CKFfKbaLVqcjLrOXOAhATAxib3JKXuBPzss0DTpsCRI7IjcEmdgNXFO9WlAYrqm0Kkq9RUeas/NVXpSMhUCCEHSuzfLwsP794N1Kun+XsB+SX23DmgVSs55VhaWpmFS3rExC4Pjoo1PhkZwM6dwKlTss/ct9/Kauqvvy4HTAC5iVveb5g9ewLR0cAXX2i2Hy8veVsCAL78Eli3Tm8/AhGR3i1fDqxaJc9/P/wgu6VoQt0al54OTJwoC2dv2QJ4eAAzZ+YOqGABd8PFxI6M2uHDwOrV8vmXXwLdusladNWrA2PGyPVPn4DS0+WyVSvg7l3N9/Xqq7IjMQC8/TZw8GDpYiciKgt79wI+PvL5Z5/J7ieaUid1kyfLPnnqzxk1SiaHc+fKfnu8FWu4+Ksho6RO1rZvl8vp04EJE2SyFRoqB0moW9ie/nZpYyOXiYnA2bOy1U9T8+bJOndZWXLwxdWrpf5RiIj05uLF3LImEybIVjZt/fqr7FunTuoyM+VyzBjZlWXTJhYoNmQcFVsIjoo1Dk+eyEERjx/LfnaurnL96tWysDAgE7xx4+Rz9Wgv9bJXL/nN8+TJkof+55WWBrzwAnD8OFC/vrzly3kWqTQSE+UgnQEDZD9RIl3ExclWtTt35J2LX3/V7txWGPWt2byjZZOSZAkUKj8cFUtmIS4O+OMPebvgmWdyW+WmTJGDKQBZiHP9evk8O1smciqVTOaOHZMjvbQ98dnayjllGzQAbt2StznYqZhKo1o12S+USR3p6tEjYPBgmdQ1bQoEB5c+qQNyb7nmHWTGpM6wMbHLg6NijYtKJQdMvPZa7jdKdXLn7Z0/uQsMlDNRfPMNcOWKvE2bnQ20aaPbvmvUkKUDHB1lkjhhAm9NkO7++QcICMidHYVIG0LIOxPnzsn+xXv3AlWrKh0VKUUviV1YWBgSEhKKfD3NSJozOCrWuDg4yL4f6v4flpb5+9N5e8sJrwFg0iRg6VJZXDg6WvbFq11b3voCdEvKmjcHfvpJ7nfTJlkjj0gXMTGyqn9MjNKRkDFasED2N7a2lncTGjYsuI0mo1j55dQ06CWxS09Px7x58/DKK69gz549+V7LzMzEmDFjcOrUKZ0+28/PD56enrC3t4ezszOGDBmCSA2qeB47dgzt2rWDnZ0dGjRogDVr1ui0fzJMQsiTWOPGuYMh1CeuvMnd22/LIsVeXnJ6sE6dgI8+khdQT0+ZnAG6T2jdu7dsaQHkwIrgYJ1/JCIirW3enDtaf80aWUy4MBYWQFSU/FK7cCGwZIks27R7t6yfmJkpz4OaFmB/OlFkUmhAhB5lZWWJwMBAMWDAAHHx4sV8r/3vf//T6TP79u0r1q9fL65cuSLCw8PFwIEDRd26dcXDhw+LfE9UVJSoWLGimD59uoiIiBCBgYHC2tpa/PTTTxrtMykpSQAQSUlJOsVM5WfpUiFGjhQiJaXgaxkZuc///FOI8HAh2rcXQqUSomFDIe7cka9lZRX9+dnZmsUxfboQgBAVKwoRGqpx+ERCCHnMADx2SDunTwthayuPnVmzit7uwgUhvvtOCDc3Ibp0EeKZZ4SoVk2eC1UqITp2FOLdd4VISNBu/0+eCPHtt0LExMh/a3q+JO1pk5dY6StBvHHjBnbs2IFbt26hYsWK6NSpEwYNGoTs7Gz88ccf6NChg06fe+DAgXz/Xr9+PZydnREaGoquRXw1WbNmDerWrQt/f38AQPPmzXH+/HksXboUL7/8sk5xkGFRj9AaMUKOir1wQY4Gs7OTNZhsbHI7/d67J0sAfPwxcPmyrL6+Zk3ugIvC6jFFRcmBFVZWmk2fs3QpcP26HIU2aJDs61K7tv5/biIiQN51GDJEDtwaPBjw8yt8u5MngaNH5cCc77+XUywCwN9/y3JPy5fL8+fZs3KWim+/BTp0kF1MiqI+//7wgzz37dsni73Xr6/nH5J0opfEbt68eViyZAmyn2qb3b59O2xsbPDWW29h8eLF+tgVkpKSAADVihk+dvr0afTp0yffur59+yIoKAgZGRmwfmqoUFpaWr5+gMnJyXqJlcqO+tZp3bqyP8nJk0BsLNCnj+w8rHbsmLzdcOQIEB8PuLnJcijdusnXi0rYIiNlYc8VK2SSWFJyZ2Ul56vt1AmIiJAn3GPH5FQ+RCWxt5fHrr290pGQMUhNlcnc33/LQuubNhU8PwkhZ4m4cAFwd5e3aKtXl7daLS3lALCXXpIlow4dkgXew8OB0aPlee/FFwue9/KWPAGAN98EXFxkuZ4ff5QVCSpXLpf/AipGqfvYbd++HUeOHEFwcDBiY2ORnp6O7OxsZGdnIysrC8uXL0enTp1QWQ+/bSEEfHx80KVLF7Rs2bLI7eLj41GzZs1862rWrInMzMxCB3n4+fnB0dEx5+GqLohGBk3dp+O11+TJ7fp12W9u+HCgSxdZBqVHDzkdTsWKsmjniRPyAlpSGYD+/YEmTYBp02QLoCZT6Dg6Anv2yJPnuXPypMd+J6SJxo1la2/jxkpHQoYuO1sWSQ8Lk8nZ7t2FJ1MqlbxT8euvsqiw+guvuiVOvbxyRSZm33wDtGsH3L4NvPMOcONGwfOeSiXPh76+uf36+veXyaCnZ+6sPjzvKavUid3hw4dx+PBhDB48GC4uLrCyyt8IOHHiRBw6dAipepjdeurUqbh06RK2bNlS4raqp3rDi/+OtKfXA4Cvry+SkpJyHjEcmmYU1MWGAWDgQHmrdcUK2RrXsKG85TB3rry1cPCgrGfn4lJy52D1iey99+TgiqlTNU/uGjSQAyisrICtW4u+PUKUV1YWkJysecd1Ml8ffSRHvtrYALt2ya4lT8vOlo81a2Sy1qhR4clWWpo8Z6WlAQkJwHffyTlhb92SJZxSUwu22G3fLu98LFsmB6appabmzgSk62A00o9SJ3aOjo6ws7MrdpspU6bghx9+KNV+pk2bht27d+PIkSOoU6dOsdvWqlUL8fHx+dbdu3cPVlZWqJ73Pt1/bG1t4eDgkO9BxuHpE8jAgbKV7bvvZO26RYuAN96QJy9bW3liKq7vCJBbEw8A3n1X3sbQJrnr1i23zMrcucDOnbr8ZGROLl6ULb4XLyodCRmybdsAda+mwMDc/nJPs7CQj8hIebcCKHiuzMyU50RXV+Dnn4E5c+St3c8+k4nbuXPA77/LbdXnQ5VKfm6vXvLcGhIi3wPIc6+dnfyCQsoqdWJnY2ODqyVMmNmuXTuEh4fr9PlCCEydOhU7duzA77//Djc3txLf4+XlhUOHDuVbd/DgQbRv375A/zoyL5p+k1SpchM4XZK7SZPk9oCcX5EXbCIqjQsXcqdHfP99eTu2KELI26v378u7B0D+1uDMzNz1Q4bIPsr37snuK127Aq+8IqdsDAmR2+Q9bzZqJFv4vLzkYLSwsNzX1LP7kLJKndhNnjwZw4cPLzFxy9LxHoO3tzc2bdqEzZs3w97eHvHx8YiPj8fjx49ztvH19cX/8hzlkydPxu3bt+Hj44Nr167h22+/RVBQEGbqMhsyma28Cdy77wItWsiix2lpJY+SBYCvvpJ17tQdnTmrABHpIj5enkMeP5Z92krq4qFSydYzQLbGpaXl3qnIm9QNHChnqWjYUA72cnKSrXivvCJbkI8fl0li3tu46nmx27cHRo6Ud0TUrXaJiUBGht5+bNJRqRO7OnXq4J133kGHDh3g7e2NS5cuFdjm0qVLyFRPD6Cl1atXIykpCd27d4eLi0vOY9u2bTnbxMXFITo6Ouffbm5u2LdvH44ePQoPDw8sWrQIy5cvZ6kTM6Weauzu3fzrNJE3uZs+HWjWTHYa1qSKu3qkbKNGskPyiBE86RGRdtLSgGHDcueA3by55O4kgEzs6tcHLl2SD0AOHlMndQMGyPImbm5yVKybW+4sPm3aAC+/LPvaqefXVnNzk19yAXn7dsAAWQ3g7bfl4B+WPFGeXsqdTJkyBVlZWZg1axbWrFmDWrVqoW3btnB2dkZCQgKOHTuG39U367UkNLgCb9iwocC6bt264cKFC1rtKyAgAAEBATq3LpLhiY2VpU4yMuQJqmFD+S1Vm8696uTOwkIOqAgNlSdA9YwXxalWTY5a69BBfiOePh1YtUr3n4eIzIcQsoTI6dNAlSpy1H2VKiW/T32+6t1b1rALCpKDKD79FBg1Sg7wOnBAJmmHD8tkLCtLJn3qkiYNG8rk0KqYLKFiRTk47dQpOTK3VSv9/NxUSvqsjHz9+nUxYcIEUbVqVaFSqYRKpRJt2rQRR48e1eduyhxnnjAtKSmyovqZM0I895wQt27pViG9NFXVd++WFd4BIVat0v1zyDSlpwtx755cEqktXy7PGRYWQhw8qP37T53KnV3iu++ESE4Wol8/+e9GjYS4eVNul5mZ+x71jD0rVwrRs6f2++TsE2VDm7xEL3PFqjVt2hSBgYFITExEQkICkpKScOHCBXRTV4MlUsCvv8oSAYMGyX4h9erpNhy/NEP4Bw2S35YBWSPq+HHdP4tMj7W17LvEsV2k9vvvwIwZ8vkXXwAvvKD9Z3h5yZH5gOwf/PvvsgzToEGyb526pS7vrV11C90ffwDOzvK5NnXpWOpEeXpN7PKqVq0a7FlGnRT04IFMosaPlzNArFoFBATI1+bPlye48jR7tiySnJkp+6+wXCKp/fWXnAXgr7+UjoQMwc2bsk9uVhbw+uu5CZ4uBg7MHcQ1fry8Bfvzz7IAe0ZGblKXN3m7ckX26fP1Ld3PQcoos8SOSGnz5slCngcPAp9/LmekAORAhqNHgTNn5JD+8qJSyb4uHh5yhOywYXKUG1FSkuw/9d+MiWTG1KPoExPlHYZ160rXCtaxIzBxopwZIjFRzhLx4YeydFPeljr1PmJj5WCLLl1kH7y8r5Fx0MvgCSJDEx8vp8Q5cwbIW886NVV+G65XD/DxyS0JUF4qVpTJZvv2wPnzwFtvARs38sRJRLLV7M03ZX24mjVlcfPSzDetHggxYoQ8123aJOd0XbxYDgLz8pKlTSpWlNOT/fSTbKnLzpYtfbzpZpyY2OXBUbGmo2ZNedIKDZX1mOzsgB9+kP2YkpNlf7c6dQpOcl0e3NzkCfSFF+SJtl07WSePiMzb0qVyWi4rK3mOKGGSpRKpp11UqXL7GL/4IrBkiRzJeuCAvJuRnS1vzT55ImvkPfusHBVLxkklBKfrfVpycjIcHR2RlJTE6cWMkPpElpUFbNggl87OsrVu1KiCw/qV8vXXMqGztAR++w3o3l25WEhZFy7IBD80FGjbVuloSAkHD8riw9nZckpCb2/9ffbT57p//5Xln06dyn2tcWM5N7Z6CjIyLNrkJUzsCsHEzvjlbYl79MgwT1ZCAGPHAt9/L1sSL1wo/Td0Mk5//y1blEePlq3NZF6iomRr2r//ylux33xTtl86i/tS+/QoWTIMTOxKiYkdlZdHj+RE3uHhsnNzSEj59/sjIuU8eiS7jVy6BDz3nCxkXl7nAKXvWpDmtMlLOCqWSEHqwRTVqgHnzsnbL/yqZX7+/Vd2av/3X6UjofIkBDBpkkzqnJ3ljBDl+cWOSZ1pYmJHpDA3NzmnrIWFnJ5n3TqlI6LydvOmHJ1486bSkVB5WrVKDqCytJTnAHbFIH1gYpdHQEAA3N3d4enpqXQoZGZ6984/M8W5c8rGQ0Rl6+TJ3NHwn33GwVOkP+xjVwj2sSMlCCGLFu/aBbi6ysEUNWooHRWVB46KNS/x8fL3HBcHjBwJbNnC26JUPPaxIzJCKpUsz9K4sZxu7LXX5Ag1IjIdmZkymYuLA1q0KPsRsGR+mNgRGRBHRzmYomJFWdtu/nylIyJdfPCBLAQ7ZYosZxMfX/z2FSoAbdqUbpYBMg5z58rR7/b2crBE5cpKR0SmhrdiC8FbsaS0zZtlTTMA+OUXOb0PGY8RI4C6dYFZs2Sr64EDwK1bcr7iVq2Ujo6UsnOn7G4ByBkmRoxQNh4yHqxjp6O8U4r98ccfTOxIUVOnAgEBQNWqQFiYnN+Wyt/u3cBLL+nnszZtkq2ygwbp5/PIeNy4IYsQJycDM2YAy5YpHREZEyZ2pcQWOzIEaWnA88/LEbKensDx44CtrdJRmR93dyAiQvv3/fuvTMqf9vHHBW+xh4UBHTsCZ87IW7JkWh4/lkWIL14EunQBfv8dsLZWOioyJhw8QWQCbG1l0dqqVWVy5+OjdETm6fp1OaemNkaOBKpXl53jly6VU0YBcuRzYf3thADS01mc2lRNny6TOicnYOtWJnVUtgw+sQsJCcGgQYNQu3ZtqFQq7Nq1q9jtjx49CpVKVeBx/fr18gmYSI/q1ZO37wBZzHTbNmXjMVfDhgEnTmi+ffPmwJ07Mhnfuxdo0gSoUkWWr2nYsMzCJAP0ww9AYKAc+bp5M/DMM0pHRKbO4BO71NRUtG7dGitXrtTqfZGRkYiLi8t5NG7cuIwiJCpbAwYAvr7y+YQJsq8OlZ9KlYCVK2Vi7e0NJCWV/J7GjYGDB4FXXwWOHAHu3wcOHZL16mbOLPuYyTBERABvvSWfz5snC5ETlTUrpQMoSf/+/dG/f3+t3+fs7IwqVapotG1aWhrS0tJy/p2cnKz1/ojK0sKFssXo+HF5m+/UqfKdU9KcTZ0qR7MOHw78+qtMtN9+O3fUcmFGj5YJ+A8/yAu7o6PsJ0nmIzVVjnp99Ajo1Yuli6j8GHyLna7atGkDFxcX9OrVC0eOHCl2Wz8/Pzg6OuY8XF1dyylKIs1YWcnbODVqyI72772ndETmw88v93nfvrLj+/XrMsErrvW0cePc1pqSNG8OXLkil2Qa3nlHtti5uMgE39JS6YjIXJhcYufi4oJ169YhODgYO3bsQNOmTdGrVy+EhIQU+R5fX18kJSXlPGJiYsoxYiLN1Kkji90C8rbgjz8qG4+5srUFFi0CvvxStubNny8HPpRGhQpyoAULFJuGLVuAb78FLCzkF7KaNZWOiMyJySV2TZs2xcSJE9G2bVt4eXlh1apVGDhwIJYuXVrke2xtbeHg4JDvQWSI+vWTsxoAsr+derQllb/mzeWt2QYN5ATuhw7p/lm3b8vf5+3beguPFHLjBjBpknw+b548NojKk8kldoXp2LEjbrDHOZmIhQuBTp1kodNRo4CMDKUjMm9jx8rZQbZulb+PkqYPK8z9+0BQkFyS8UpLkwNmUlJkDcoPP1Q6IjJHZpHYhYWFwcXFRekwiPTC2lre3nF0BM6eBT76SOmIqFo1mZhNmSJLo6xcyZp05uiDD+TI5+rV5e1YK4MfnkimyOATu4cPHyI8PBzh4eEAgJs3byI8PBzR0dEAZP+4//3vfznb+/v7Y9euXbhx4wauXr0KX19fBAcHY+rUqUqET1Qm6tUDvvlGPv/sM+C335SNx5S9/bbm2z7/PHDsmLxF3qGDvMiTedi3D/D3l8+/+4716kg5Bv994vz58+jRo0fOv33+K78/duxYbNiwAXFxcTlJHgCkp6dj5syZiI2NRYUKFdCiRQvs3bsXAwYMKHFfeeeKJTJ0w4fLvjxr1wJjxgCXLsnK9qRfhQ2qT0gAbt2SfeJu3cr/uH1blroAZHI3fbqcfYJM199/A2+8IZ9Pnw4MHKhoOGTmOFdsIThXLBmLx4/lxOIREcCLL8oJ61UqpaMyLRYWwGuvycLE6sTt0aP82xR2FnV0BOrXl7NOlDRjSGysvH07dSpbeoxNdrYsffPrr0CrVrJ7BGtMkr5pk5cwsSsEEzsyJpcuAc89Jztur1ol+3mR/lhYyGT56TNl1aoycatXTy6ffvDUYR6++kpOHWdnB5w/L8vWEOkbE7tSYmJHxsbfH5gxQ9ZBu3ABaNZM6YhMh4WFnEqsSZP8iZu9vf72kZIChIYC7drp93OpbF28KL9UpacDq1cDkycrHRGZKiZ2pcTEjoxNdrascXfoENCmDXDmDGBjo3RUpqFVK9kqWpYuXJBJXWgo0LZt2e6L9OPJEzlN3JUrwKBBwM8/sxsElR1t8hKDHxVLRCWzsAA2bJBlFsLCWAJFnzigngozb55M6pyd5Qh1JnVkKJjY5REQEAB3d3d4crZuMkK1awPr1snnn38OHD+ubDymQtP5Xsl8HDkCLFsmnwcFyeSOyFAwscvD29sbEREROHfunNKhEOlk2DBg3DjZ0X/sWODhQ6UjIjItDx7Ivy0hgIkT5Wh0IkPCxI7IxPj7A3XrAjdvAjNnKh0NacLaWpY5sbZWOhIqyfTpQEwM0LBhbqsdkSFhYkdkYhwcgPXr5fO1a4H9+5WNh0r27LPAnTtySYZr1y5g40bZp3XjRqByZaUjIiqIiR2RCerZE3jnHfl8wgQgMVHZeIiM3f37ueVM3n8f6NRJ2XiIisLEjgr47rvvlA6B9MDPT9Zeu3tX1rgjw3X5MlCnjlySYZo2TU4d5u4OfPyx0tEYPl5HlMPELg+OigVmzJiB0pQ2XLlyJTZs2KC/gEhnFSvKycjVt4327lU6IipKRoacViwjQ+lIqDA7dgBbtsi/pfXrAVtbpSMybKW9juiLuV6PmNjlYe6jYlesWIH09HS8oZ7NWgfe3t7YtWuXwX1bO3DgADp37gwvLy907twZgwcPxpUrV5QOq8x17CinOwKASZPkfKdEpLmEhNxp+j74QM40QUXTx3VEXwz1egSU8TVJUAFJSUkCgEhKSlI6lHJz/fp1Ub9+ffHw4cNSf9aDBw+Eu7u7uHbtmh4iK72ff/5ZWFhYiK1bt+asW7RokbC3txfnz59XMLLykZoqRMOGQgBCTJigdDRUmNBQ+fsJDVU6Enra6NHyd9OihRBPnigdjWHT53VEXwzteiSEbtckbfISTilWCHOcUqx///7o27cv3n33Xb183rp16xAUFISzZ8/q5fN0lZKSgubNm6Nx48Y4cuRIzvqsrCzUq1cPTk5OCA0NhYWFaTdeHz8OdO0qnx86BPTurWw8lB+nFDNM+/cDAwbIW7CnT7O1riT6vo7oS3ldjyIiIvDw4UM8V8yBous1iVOKkVbCwsJw7NgxvTadjx07FtHR0fjll1/09pm6+OmnnxAbG4tXX30133pLS0uMHDkS4eHhOG4GUzQ8/7ycyB6QMyk8eqRsPJRf48ZyNoPGjZWOhNQePsy9Bfvuu0zqSlIW1xF9Kevr0cWLFzFixAj06tULMTExxW5bHtckJnaEwMBA9OzZE1WqVNHbZ9ra2mLixIn47LPPNNq+RYsWmD17Nu7du6e3GABg9+7dAIB27doVeK1NmzYAoHjyWV78/ABXV1m4eP58paOhvOztge7d5ZIMw9y5wO3bQL16wMKFSkdj+MriOqIv2l6PNHX+/HkMGTIEAwYMQKdOnfDXX3/h5ZdfLvY95XFNYmKXh7mOit2xYwe8vLz0/rk9evTAyZMncffu3RK3PXz4MDIyMtCiRQv4+PggLi5OLzFcvHgRAFCvXr0Cr9WtWxcAEB4erpd9GTp7e2D1avn8q6+A//5ryADExgK+vnJJyjt7FlixQj5ftw6oVEnZeIxBWV1H9EWb61FJzpw5gwEDBmDYsGHo3bs3/vrrL8yYMQMVK1Ys8b3lcU1iYpeHPkfFPnjwAHv27MGGDRuwbNkynDlzptDtdu7ciUuXLpV6f7q6fv06/v77b3Ts2LHIbT755BN4enqiVatW+fooZGdno2/fvmjWrBnS0tIKvK9jx46wsrLCnj17SoyjVq1aWLZsGa5evQorKyu0atUK06ZNw507d3T7wQBkZmYiOjoaAFC1atUCr1erVg0AEB8fr/M+jM3AgcDw4UBWlhwlm5WldEQEyPpoS5bIJSkrM1P+bQgBvP460KePcrGY0nVEn3S5JmlzPSpKSEgIXnjhBbz22msYPHgw/vzzT0ydOhV2dnYavb+8rkkGn9iFhIRg0KBBqF27NlQqFXbt2lXie44dO4Z27drBzs4ODRo0wJo1a8o+0KfcuXMHJ06cwMKFC/Hee+8V2gJ19epVvPzyy4oOxQ4NDQUAeHh4FPp6cHAw0tPTce7cOTRt2hQz8lS6ffToEc6ePYvIyMhCv2FUqFABHh4eWiXKzs7O+Pzzz3Ht2jVUrlwZbdq0weTJk3Hr1i1tfiwAspNqVlYWLC0tYWVlVeB12/+KUT148EDrzzZm/v6y9e7sWUCBPw0ig7Z8uWzNrlZN+blgTeU6ok+6XpN0uR6pHT58GN27d8f48eMxatQo3LhxA5MmTYKNjY1Wn1Ne1ySDT+xSU1PRunVrrFy5UqPtb968iQEDBuD5559HWFgY5syZg3feeQfBwcFlHGl+LVu2xGeffYZnn30WKpUK3bp1K7DNli1bIITA0KFDyyyO5ORkfP3111i8eDEWLlyIzMzMfK9HRUVBpVIV+u0BAIKCgvDRRx8BAP744w+oVKqc1ypXroy1a9cCyD0gn+bi4oLLOpTTr1GjBvz8/BAZGQknJyd4enpi/Pjx+OuvvzT+jNTUVAAo9A8IkJ1VASDJzIq7PfMM8Omn8vmcOYCe7noTGb3Y2Nz+p59/Djg5KRuPqVxH9Kk01yRtr0cHDhxAp06dMG3aNEyYMAHXr1/HuHHjirymlKTcrkl6KcpSTgCInTt3FrvNrFmzRLNmzfKtmzRpkujYsaPG+9FXHbvs7GxRrVo14eHhUeC1J0+eCFdXV9G+fftS7aM4t27dErNnzxaJiYlCCCHWrl0rZsyYkW+bqVOnCnt7+0LfHx4eLubPny+EEOLatWsCgFiyZEmB7ZydnYusWzR27FhRu3btUvwU0r///isWLFggnJycxJgxY8T169dLfE9sbKwAIGxtbQt9/fLlywKAcHR0LHV8xiYzU4j27WV9rtGjlY6GWMfOMIwcKX8PXl5CZGUpHY1k7NcRfSrtNUmb61GXLl1EjRo1xNatW0WWng6G0lyTtMlLdEs7Ddjp06fR56lOEX379kVQUBAyMjJgbW1d4D1paWn57scnJyfrJZaLFy8iMTERY8eOLfDa2rVrcefOHWzZskUv+3paVlYWAgMDsXjx4pxvAbVr14a/vz+W5bm/8OjRoyJr4rRu3RqtW7cGIOf9s7CwwJgxY/JtI4RAq1atUKmI3sXVqlXTS4tYlSpVMH/+fMyYMQMrVqxA165d0bNnT3zyySdo2LBhoe+xL2GIofrbU+XKlUsdn7GxtJQDKZ57DvjhB1kCRV3njspf9erA+PFySco4dAjYtk3WrAsIkEtDYOzXEbVXX31Vp75jY8eOxbhx4wCU/pqkzfXIx8cHH330EZYvXw5HR0f069dP69ifVl7XJJNL7OLj41GzZs1862rWrInMzEwkJCTAxcWlwHv8/PzwcRnM6nz06FEAQPfu3fOtj4mJwYIFCzBlyhR07txZ7/sFZHP1uHHjcv4YAVk88emRONbW1sjOzi7x8zZv3gwvLy/Url073/qLFy+iQ4cORb6vUqVKePLkiZbRF83BwQFvv/02EhMTsWLFCnTr1q3YxM7R0REpKSmFvv7ov2JuhR0T5qB9e5nQrV0rJzgPDQV0vMNApVSvHvDNN0pHYb7S0+XfAABMnQr8V3XCIJjKdWTr1q16jU2Xa5I216OhQ4diyJAh2LlzJ+bMmYP58+fjww8/xIsvvqhzzOV1TTKQ7yT6lfeeO4CcyYifXq/m6+uLpKSknEdJBQY1deTIEVhYWKBrnqaQjIwMjB49Gm3btoW/v3++7U+cOIH58+dj1qxZ+PHHH0u177i4uAIJz5YtWzBx4sR86xwdHXMOpqJcu3YN0dHRBVpC1Z9ZXN2eJ0+eaDQEXBP379/H3Llz0bRpUzx+/Bh//vknJk+eXOx73N3dkZ2djcTExAKvqb89NjbjqrCffAJUrQpcuiTLOpAyHj8Grl6VSyp/y5cDkZGAs7Ph1awzleuIPul6TdL2eqRSqTBs2DBcuHAB8+bNw8KFC9G2bVvs3LkzJ6/QVnlck0wusatVq1aB5t579+7BysoK1Yu4z2FrawsHB4d8j9LKzs5GSEgI2rRpk1OwMT09HcOHD0flypWxY8eOfLeF582bh/Xr1+Ojjz7CkiVLsHz58pzm9Y0bN+KxFmf8qKgouLq6ApATMs+fPx9Dhw7F888/j2HDhuXbtm7dukhKSir2W8y1a9cAAE2bNs23/uHDh7h8+XJOUcXCJCUlFWhB1da9e/cwe/ZsNG/eHCkpKQgLC8OqVatyav4Up0uXLgDkyLGnqSdc7mrG9yBr1AAWLZLP582TE55T+bt2DWjZUi6pfP39d24yt2QJ4OiobDx5mdJ1RJ90vSaV5no0aNAg/N///R8+/fRTLF26FK1bt8b27ds1uuOVV3lck0wusfPy8sKhQ4fyrTt48CDat29faP+6shIWFoYHDx6gR48eAIDbt2+jT58+aNKkCX755Zd8yeP333+PzZs3IyAgAJaWlrCwsMCoUaPw6X9DF69fv44KFSpovO8TJ07kNM0nJydDCIGsrKxCa8K5u7vnxFcUdY2ep/sHLFiwALNmzSo2ljt37qBBgwYax55XfHw8fHx80KJFC2RkZODSpUtYvnw5nnnmGY0/Q/3Nbd++fQVe27NnD6ytrTFkyBCd4jMVkyYBrVoB//4LLFigdDRE5eujj4CUFNk1oZBubIoypeuIPul6TSrN9UitX79+OHnyJL766iusWrUKLVu2xObNm5GlYVHQcrkm6T6+o3ykpKSIsLAwERYWJgCIZcuWibCwMHH79m0hhBAffPCBGDNmTM72UVFRomLFimLGjBkiIiJCBAUFCWtra/HTTz9pvE99jIpdunSpACA2bNggFi1aJAYNGiTOnj1bYLvMzExRp04d8fnnn+dbv2fPHqFSqURkZKQIDAzUat++vr4iOzs737rExEQBQPz555/51j98+FBYWVmJbdu2Ffl59+/fF05OTmLChAk56wICAgqMjCqMm5ub8PX11Sr+O3fuiGnTpgknJycxa9Ysce/ePa3e/7RevXqJqlWrioSEhJx1J06cEADE3LlzS/XZpuL33+VoQEtLIa5eVToa88NRscq4dEkICwv5f3/8uNLRFGRK1xF90vWapMv1qCQhISGid+/eokmTJmLDhg0iIyOjxPfock3SJi8x+MTuyJEjAkCBx9ixY4UQcvhyt27d8r3n6NGjok2bNsLGxkbUr19frF69Wqt96iOxGzFihKhbt66YMWOGCAkJKXK7kydPCgDi6lNXU/XP7e3tLR4/fqzVvmfPnl1gXUJCggAgDh48WOC1nj17iqlTpxb7maGhoeKFF14QHTt2FF26dBGLFy8ucQi4+iSwf/9+jeK+ffu2mDx5snBychJz5szJd9CXRmxsrPDw8BAeHh5i69at4ttvvxUuLi5i8ODB4smTJ3rZhykYMkRe4AYMUDoS88PErvxlZwvxwgvy/334cKWjKZypXUf0SdtrkrbXI22dPn1a9O/fX8ybN6/EbXW5JplUYleeVq5cKZo3by6aNGmilzp2mtiyZYuwsrIq8M1I/QcZHBys1ec9ePBALFy4sMD606dPF/qHL4QQgYGBon79+gViKK2tW7cKR0dHkZaWVuK2U6ZMEc7OzmL+/Pk59ZL0KSsrS/z666/iyy+/FEuXLhUnTpzQ+z6MXWSkEFZW8kL3++9KR2NeLlwQwsZGLql87Nsnj3UbGyH++kvpaErHlK8j+qLN9ag8aHtNYmJXSvoqUKyJo0ePikqVKhVYv2vXLgFAPHjwQKvPO3DggFizZk2B9bNnzxaNGzcu9D2PHz8Wzs7O4nc9X81HjBih8Te4bdu2lcv/NxXP21te7Dw9ZYsGkSnKzBSiZUt5rM+cqXQ0pWfK1xF90eZ6ZIi0yUtMbvCEsencuTMaNWqEkJAQAHIY+4YNG3Djxg1UrFgR8fHx+CZPgaugoCC4uroioYjhi2fOnClQruXRo0f4/vvvczrRPs3Ozg4LFizAkiVL9PRTAXfv3sW+ffvg4+Oj0favvPKKXkYjU+l8+CFQuTJw7hxQykoJRAZr0ybgyhWgShU5rZ6xM9XriL5oez0ydkzsFGZlZYVDhw7hwIEDWLRoEZYuXYqOHTti5syZ+OGHH7Bq1So0a9YsZ/vs7Gw8efIEZ86cKfTzkpKSUKlSpZyJjtPT0zFx4kRMmDABw4cPLzKOSZMmITU1Fb/88otefq6FCxfinXfegZubm14+j8pHzZrAzJny+dy5QEaGsvGYi2vXgLZtWe6kPKSn584H6+sr6zgaO1O9juiL2V2PyqEF0eiU561YXTx48KDQPhOZmZk5I5nWrVsn5s6dK2bOnKlx03hcXJxo3769iI2NLVV8x48fFx06dNC6sy4ZhpQUIZyc5G2qdeuUjsY8cPBE+Vm1Sv5fu7gIkZqqdDTKMfTriL6YyvWIfex0pMTgCV3s3r1b3Lp1q8D6sLAwsX379lJ9dlRUlBgxYoTO74+JiRE9evQQMTExpYqDlOXvLy9+rq5CcOBw2WNiVz4ePRKidm35f71ihdLRKMuQryP6YkrXI/ax05G3tzciIiJymp8NUUZGBsLDwwvM1QcAp06dKnXFajc3N2zfvl3n91+6dAlbtmxBnTp1ShUHKWvSJKB2bSAmBggKUjoaIv1Yuxa4exeoWxd4alYss2Lo1xF9MdfrERM7IxMdHY233nqr0NeqVq1a6um7SmvAgAGKx0ClZ2cn+x8Bcpql9HRl4yEqrUeP5LEMyOnzbG2VjUdJhn4d0RdzvR6phNBxJlsTlpycDEdHRyQlJXGkJpmtJ0+ABg2AuDggMBCYMEHpiEzXv/8Cv/0G9O5tGp35DdHy5cD06UC9esAffwA2NkpHRKQ5bfISttgRUaHs7HJHyPr5AZmZysZjyqpWBUaMYFJXVtLTgc8/l899fZnUkWljYkdERZo0CahRA4iKAgygy4zJ+vtvYNkyuST9++EHIDYWcHEB3nhD6WiIyhYTuzwCAgLg7u4OT09PpUMhMgiVKgHvviuff/YZwI4bZSM2FnjvPbkk/RIC+OIL+XzGDPPuW0fmgYldHsYwKpaovL39tkzwLl0CDh5UOhoi7Rw4IAs/29sDRYwXIDIpTOyIqFhVq+YOnPjqK2VjIdLW0qVyOXEi4OiobCxE5YGJHRGV6J13AAsL4NdfgevXlY6GSDMXLwK//w5YWsoRsUTmgIkdEZWoQQPgxRfl84AAZWMxRY6OwKBBbFHStxUr5HL4cFmUmMgcsI5dIVjHjqiggweBvn0BBwfZyb9yZaUjIirav/8CzzwDPH4MnDgBdO6sdEREumMdOx1xVCxR0Xr3Bho3BpKTZfkI0p+MDOCff+SS9GPjRpnUtW4NdOqkdDRE5YeJXR4cFUtUNAsLYPJk+XztWpY+0afLlwFnZ7mk0hMCWLdOPp80CVCplI2HqDwxsSMijY0dK6v2h4XJB5Eh+r//AyIigAoVgFGjlI6GqHwZRWK3atUquLm5wc7ODu3atcPx48eL3Pbo0aNQqVQFHtc5lI+o1KpXB4YOlc+//VbZWIiKsmGDXL78MgekkPkx+MRu27ZtePfddzF37lyEhYXh+eefR//+/REdHV3s+yIjIxEXF5fzaNy4cTlFTGTaxo2Tyy1b5BycRIbkyRNg2zb5fOxYZWMhUoLBJ3bLli3D+PHjMWHCBDRv3hz+/v5wdXXF6tWri32fs7MzatWqlfOwtLQsctu0tDQkJyfnexBR4Xr1AmrVAhITZV07IkOyb58cEVunDtCjh9LREJU/g07s0tPTERoaij59+uRb36dPH5w6darY97Zp0wYuLi7o1asXjhw5Uuy2fn5+cHR0zHm4urqWOnYiU2VlBYwcKZ9v2aJsLKaidWsgKUkuqXQ2b5bLUaNkYWIic2PQiV1CQgKysrJQs2bNfOtr1qyJ+Pj4Qt/j4uKCdevWITg4GDt27EDTpk3Rq1cvhISEFLkfX19fJCUl5TxiYmL0+nMQmZpXX5XLPXvkrS8qHUtLWR+QiUjppKQAe/fK56+9pmwsREqxUjoATaieGqsuhCiwTq1p06Zo2rRpzr+9vLwQExODpUuXomvXroW+x9bWFra2tvoLmMjEPfecvNV15w5w6JCcNYF0d+MGMHUqsHKlrBVIutm7V37RaNyYrZ9kvgy6xa5GjRqwtLQs0Dp37969Aq14xenYsSNu3Lih7/CIzJaFBTBkiHy+c6eioZiElBQ5s0dKitKRGLddu+Ry2DDWriPzZdCJnY2NDdq1a4dDhw7lW3/o0CF00qKUeFhYGFxcXPQdHpFZU5c92bMHyMpSNhai9HRg/375XP2lg8gcGfytWB8fH4wZMwbt27eHl5cX1q1bh+joaEz+rwS+r68vYmNjsXHjRgCAv78/6tevjxYtWiA9PR2bNm1CcHAwgoODlfwxiEzO888DVaoACQnA2bOctomUdfKknO7O2Vl2FSAyVwaf2I0cORL379/HwoULERcXh5YtW2Lfvn2oV68eACAuLi5fTbv09HTMnDkTsbGxqFChAlq0aIG9e/diwIABJe4rICAAAQEByGLzA1GJrK2Bvn1lzbADB5jYkbIOHJDLfv1kVwEic6USgjM+Pi05ORmOjo5ISkqCg4OD0uEQGawNG2TB4ueek612pJt//gG2bwdeeQVwclI6GuPUtq2c5m7TJmD0aKWjIdIvbfISJnaFYGJHpJk7dwBXV9lCcv++vDVLVN4SE4EaNQAhgLg4WUCbyJRok5ewwZqIdFanjiwtkZ0t+ziRbhITZUtTYqLSkRin48dlUtesGZM6IiZ2RFQq6vKQxdQApxLcugWMGSOXpL3jx+WyiFKlRGaFiR0RlUrnznJZwix/RGVG3VrcpYuycRAZAiZ2eQQEBMDd3R2enp5Kh0JkNLy85PLCBSAzU9lYyPykp8tjD8g9FonMGRO7PLy9vREREYFz584pHQqR0WjSBLC3Bx49Aq5dUzoaMjeXL8vkrlo1oGFDpaMhUh4TOyIqFQuL3Hk5L15UNhZjVakS0LGjXJJ2wsLksm1bTiNGBDCxIyI9UCd2ly4pG4exatoUOH1aLkk76mNOfQwSmTsmdkRUai1ayCVvxVJ5u3JFLlu2VDYOIkPBxI6ISq1ZM7n84w9l4zBWFy7I24jqQQCkuchIuWzeXNk4iAwFE7s8OCqWSDeNGsllVBRHxlL5SU0F7t6Vz5s0UTYWIkPBxC4Pjool0k3t2oCNjUzq7txROhoyF+qCzlWqAFWrKhkJkeFgYkdEpWZpKeeMBYDoaGVjIfOhPtbq1lU2DiJDwsSOiPSiTh25ZIsdlZfYWLlUH3tEBFgpHQARmQYXF7n8+29l4zBG7u7AjRtMULQVHy+XtWopGweRIWFiR0R64ewsl/fuKRuHMbKzyx2AQppLSJBLJydl4yAyJLwVmwdHxRLprlo1uUxMVDYOY3TzJvD663JJmlMfa+pjj4iY2OXDUbFEunN0lMvkZGXjMEb//gv88INckubUx5r62CMiI0nsVq1aBTc3N9jZ2aFdu3Y4fvx4sdsfO3YM7dq1g52dHRo0aIA1a9aUU6RE5qtyZblMTVU2DjIf6mONc+wS5TL4xG7btm149913MXfuXISFheH5559H//79EV1ETYWbN29iwIABeP755xEWFoY5c+bgnXfeQXBwcDlHTmRe7Ozk8skTZeMg85GWJpfqY4+IjCCxW7ZsGcaPH48JEyagefPm8Pf3h6urK1avXl3o9mvWrEHdunXh7++P5s2bY8KECXjzzTexdOnSIveRlpaG5OTkfA8i0o7Vf0OxOPMElZeMDLm0tlY2DiJDYtCJXXp6OkJDQ9GnT5986/v06YNTp04V+p7Tp08X2L5v3744f/48MtRngaf4+fnB0dEx5+GqrrRKRBpr3x5Yswbw8VE6EuPj4gLMn59bMoY088EH8phr3VrpSIgMh0GXO0lISEBWVhZq1qyZb33NmjURry5g9JT4+PhCt8/MzERCQgJcCjlz+vr6wifP1Sg5OZnJHZGWGjViyQ5dubgACxYoHYXxGTxY6QiIDI9BJ3ZqKpUq37+FEAXWlbR9YevVbG1tYWtrW8ooiYiIiJRl0Ldia9SoAUtLywKtc/fu3SvQKqdWq1atQre3srJC9erVyyxWIiIiIqUZdIudjY0N2rVrh0OHDmHo0KE56w8dOoTBRbTBe3l5Yc+ePfnWHTx4EO3bt4e1hj1s1S18HERBRERESlPnI+r8pFjCwG3dulVYW1uLoKAgERERId59911RqVIlcevWLSGEEB988IEYM2ZMzvZRUVGiYsWKYsaMGSIiIkIEBQUJa2tr8dNPP2m8z5iYGAGADz744IMPPvjgw2AeMTExJeYwBt1iBwAjR47E/fv3sXDhQsTFxaFly5bYt28f6tWrBwCIi4vLV9POzc0N+/btw4wZMxAQEIDatWtj+fLlePnllzXeZ+3atRETEwN7e/ti+/IBuQMtYmJi4ODgoNsPqQNPT09FZshQYr/lvU+lfqeAefz/KrVP/q2a3j75t2qa+zSnv1VN9ymEQEpKCmrXrl3itgaf2AHA22+/jbfffrvQ1zZs2FBgXbdu3XDhwgWd92dhYYE6depo9R4HB4dyPQAtLS3L/USm1H6V+lnL+3cKmM//r1K/U4B/q6a2T4B/q6a2TzVz+FvVZp+OGs6dZ9CDJ6ho3t7eZrNfpX5WJZjL/y9/p6a5X/5euU9jZir/vyohNOmJR0VJTk6Go6MjkpKSFPtWQ/rF36lp4u/V9PB3apr4ey0dttiVkq2tLebPn886eCaEv1PTxN+r6eHv1DTx91o6bLEjIiIiMhFssSMiIiIyEUzsiIiIiEwEEzsiIiIiE8HEjoiIiMhEMLEjIiIiMhFM7MpAWloaPDw8oFKpEB4ernQ4VAq3bt3C+PHj4ebmhgoVKqBhw4aYP38+0tPTlQ6NtLBq1Sq4ubnBzs4O7dq1w/Hjx5UOiUrBz88Pnp6esLe3h7OzM4YMGYLIyEilwyI98vPzg0qlwrvvvqt0KEaHiV0ZmDVrlkbzuZHhu379OrKzs7F27VpcvXoVX331FdasWYM5c+YoHRppaNu2bXj33Xcxd+5chIWF4fnnn0f//v3zzTFNxuXYsWPw9vbGmTNncOjQIWRmZqJPnz5ITU1VOjTSg3PnzmHdunVo1aqV0qEYJdax07P9+/fDx8cHwcHBaNGiBcLCwuDh4aF0WKRHX3zxBVavXo2oqCilQyENdOjQAW3btsXq1atz1jVv3hxDhgyBn5+fgpGRvvzzzz9wdnbGsWPH0LVrV6XDoVJ4+PAh2rZti1WrVuGTTz6Bh4cH/P39lQ7LqLDFTo/+/vtvTJw4Ed9//z0qVqyodDhURpKSklCtWjWlwyANpKenIzQ0FH369Mm3vk+fPjh16pRCUZG+JSUlAQD/Lk2At7c3Bg4ciN69eysditGyUjoAUyGEwBtvvIHJkyejffv2uHXrltIhURn466+/sGLFCnz55ZdKh0IaSEhIQFZWFmrWrJlvfc2aNREfH69QVKRPQgj4+PigS5cuaNmypdLhUCls3boVFy5cwLlz55QOxaixxa4ECxYsgEqlKvZx/vx5rFixAsnJyfD19VU6ZNKApr/XvO7evYt+/fphxIgRmDBhgkKRky5UKlW+fwshCqwj4zR16lRcunQJW7ZsUToUKoWYmBhMnz4dmzZtgp2dndLhGDX2sStBQkICEhISit2mfv36ePXVV7Fnz558F4usrCxYWlpi9OjR+O6778o6VNKCpr9X9Qnm7t276NGjBzp06IANGzbAwoLfiYxBeno6KlasiB9//BFDhw7NWT99+nSEh4fj2LFjCkZHpTVt2jTs2rULISEhcHNzUzocKoVdu3Zh6NChsLS0zFmXlZUFlUoFCwsLpKWl5XuNisbETk+io6ORnJyc8++7d++ib9+++Omnn9ChQwfUqVNHweioNGJjY9GjRw+0a9cOmzZt4snFyHTo0AHt2rXDqlWrcta5u7tj8ODBHDxhpIQQmDZtGnbu3ImjR4+icePGSodEpZSSkoLbt2/nWzdu3Dg0a9YMs2fP5m12LbCPnZ7UrVs3378rV64MAGjYsCGTOiN29+5ddO/eHXXr1sXSpUvxzz//5LxWq1YtBSMjTfn4+GDMmDFo3749vLy8sG7dOkRHR2Py5MlKh0Y68vb2xubNm/Hzzz/D3t4+p7+ko6MjKlSooHB0pAt7e/sCyVulSpVQvXp1JnVaYmJHVIyDBw/izz//xJ9//lkgQWdjt3EYOXIk7t+/j4ULFyIuLg4tW7bEvn37UK9ePaVDIx2pS9d079493/r169fjjTfeKP+AiAwIb8USERERmQj2ACciIiIyEUzsiIiIiEwEEzsiIiIiE8HEjoiIiMhEMLEjIiIiMhFM7IiIiIhMBBM7IiIiIhPBxI6IiIjIRDCxIyIiIjIRnFKMiKiMpaSkIDAwEBEREUhPT4e7uzvee+89WFtbKx0aEZkYTilGRFSGzp8/jxUrVmDmzJl49tlnIYTAiBEjUKlSJXz33XdKh0dEJoa3YomIysjly5fxzTffICgoCM8++ywAQKVSoVevXti0aRNSUlIUjpCITA1vxRIRlYG0tDQsWrQIGzduhJVV/lPtnTt3kJ2djfT0dIWiIyJTxVuxRERl4KuvvkK7du3QtWvXAq+1atUKVlZWuHDhggKREZEp461YIqIycO7cuUKTun379iEiIgKrV69WICoiMnW8FUtEpGcXL15E27ZtAQDR0dFYvHgxsrOzkZaWhiNHjuDnn39Ghw4dFI6SiEwRW+yIiPTs6NGj6NmzJwAgNTUV6h4vVlZW+Oeff9i3jojKDPvYERHp2bhx4/DNN9/A0tKywGuvvvoqzpw5g1u3bpV/YERk8thiR0SkZ9nZ2YUmdQDQoEED3L59G1FRUeUcFRGZAyZ2RER6FBERgWbNmhX5+v379wEADx8+LK+QiMiMMLEjItKjkJAQdOnSpcjXw8PDYWVlhfr165dfUERkNpjYERHpUUhICBo2bFjoawkJCQgNDUXPnj3h4OBQzpERkTlgYkdEpEfHjx/Hv//+W+hr33zzDbKysjB37txyjoqIzAUTOyIiPYmKikKzZs2wY8eOAq/duXMHS5YswXvvvVdo4WIiIn1gYkdEpCchISGYNWsWEhMTsX79+pz6dREREejXrx/eeustfPHFFwpHSUSmjHXsiIj0ZNKkSVi2bBkqVqyIzZs3Y+/evbC0tETlypUxYcIEtGvXTukQicjEMbEjItKTMWPG4Pvvv1c6DCIyY7wVS0SkB3fv3sUzzzyjdBhEZOaY2BER6cGxY8fQrVs3pcMgIjPHxI6ISA/++ecfdO7cWekwiMjMsY8dERERkYlgix0RERGRiWBiR0RERGQimNgRERERmQgmdkREREQmgokdERERkYlgYkdERERkIpjYEREREZkIJnZEREREJoKJHREREZGJYGJHREREZCL+HwOzX/WbKw+BAAAAAElFTkSuQmCC\n",
-      "text/plain": [
-       "Graphics object consisting of 9 graphics primitives"
-      ]
-     },
-     "execution_count": 3,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "typical_characteristic_curves = charact_curves(v1)\n",
-    "typical_characteristic_curves"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 4,
-   "id": "51d49b55",
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "image/png": 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\n",
-      "text/plain": [
-       "Graphics object consisting of 9 graphics primitives"
-      ]
-     },
-     "execution_count": 4,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "degenerate_characteristic_curves = charact_curves(v2)\n",
-    "degenerate_characteristic_curves"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "id": "d12d4511",
-   "metadata": {},
-   "source": [
-    "## SUBSECTION: Relevance of the Hyperbola $\\Theta_v$"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "id": "b1ef2650",
-   "metadata": {},
-   "source": [
-    "## SUBSECTION: Bertram's Nested Wall Theorem"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "id": "4f77e7d6",
-   "metadata": {},
-   "source": [
-    "## SUBSECTION: Characteristic Curves for Pseudo-semistabilizers"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 5,
-   "id": "87b4eeeb",
-   "metadata": {},
-   "outputs": [],
-   "source": [
-    "def hyperbola_intersection_plot():\n",
-    "  var(\"alpha beta\", domain=\"real\")\n",
-    "  coords_range = (beta, -3, -1/2), (alpha, 0, 2.5)\n",
-    "  delta1 = -sqrt(2)+1/100\n",
-    "  delta2 = 1/2\n",
-    "  pbeta=-1.5\n",
-    "  text_args = {\"fontsize\":\"large\", \"clip\":True}\n",
-    "  black_text_args = {\"rgbcolor\":\"black\", **text_args}\n",
-    "  p = (\n",
-    "    implicit_plot( beta^2 - alpha^2 == 2,\n",
-    "        *coords_range , rgbcolor = \"black\", legend_label=r\"a\")\n",
-    "    + implicit_plot( (beta+4)^2 - (alpha)^2 == 2,\n",
-    "        *coords_range , rgbcolor = \"red\")\n",
-    "    + implicit_plot( (beta+delta1)^2 - alpha^2 == (delta1-2)^2-2,\n",
-    "        *coords_range , rgbcolor = \"blue\")\n",
-    "    + implicit_plot( (beta+delta2)^2 - alpha^2 == (delta2-2)^2-2,\n",
-    "        *coords_range , rgbcolor = \"green\")\n",
-    "    + point([-2, sqrt(2)], size=50, rgbcolor=\"black\", zorder=50)\n",
-    "    + text(\"Q\",[-2, sqrt(2)+0.1], **black_text_args)\n",
-    "    + point([pbeta, sqrt(pbeta^2-2)], size=50, rgbcolor=\"black\", zorder=50)\n",
-    "    + text(\"P\",[pbeta+0.1, sqrt(pbeta^2-2)], **black_text_args)\n",
-    "    + circle((-2,0),sqrt(2), linestyle=\"dashed\", rgbcolor=\"purple\")\n",
-    "    # dummy lines to add legends (circumvent bug in implicit_plot)\n",
-    "    + line([(2,0),(2,0)] , rgbcolor = \"purple\", linestyle=\"dotted\",\n",
-    "        legend_label=r\"pseudo-wall\")\n",
-    "    + line([(2,0),(2,0)] , rgbcolor = \"black\",\n",
-    "        legend_label=r\"$\\Theta_v^-$\")\n",
-    "    + line([(2,0),(2,0)] , rgbcolor = \"red\", legend_label=r\"$\\Theta_u$ case 1\")\n",
-    "    + line([(2,0),(2,0)] , rgbcolor = \"blue\", legend_label=r\"$\\Theta_u$ case 2\")\n",
-    "    + line([(2,0),(2,0)] , rgbcolor = \"green\", legend_label=r\"$\\Theta_u$ case 3\")\n",
-    "  )\n",
-    "  p.set_legend_options(loc=\"upper right\", font_size=\"x-large\",\n",
-    "    font_family=\"serif\")\n",
-    "  p.xmax(coords_range[0][2])\n",
-    "  p.xmin(coords_range[0][1])\n",
-    "  p.ymax(coords_range[1][2])\n",
-    "  p.ymin(coords_range[1][1])\n",
-    "  p.axes_labels([r\"$\\beta$\", r\"$\\alpha$\"])\n",
-    "  return p\n",
-    "\n",
-    "def correct_hyperbola_intersection_plot():\n",
-    "  var(\"alpha beta\", domain=\"real\")\n",
-    "  coords_range = (beta, -2.5, 0.5), (alpha, 0, 3)\n",
-    "  delta2 = 1/2\n",
-    "  pbeta=-1.5\n",
-    "  text_args = {\"fontsize\":\"large\", \"clip\":True}\n",
-    "  black_text_args = {\"rgbcolor\":\"black\", **text_args}\n",
-    "  p = (\n",
-    "    implicit_plot( beta^2 - alpha^2 == 2,\n",
-    "        *coords_range , rgbcolor = \"black\", legend_label=r\"a\")\n",
-    "    + implicit_plot((beta+delta2)^2 - alpha^2 == (delta2-2)^2-2,\n",
-    "        *coords_range , rgbcolor = \"green\")\n",
-    "    + point([-2, sqrt(2)], size=50, rgbcolor=\"black\", zorder=50)\n",
-    "    + text(\"Q\",[-2, sqrt(2)+0.1], **black_text_args)\n",
-    "    + point([pbeta, sqrt(pbeta^2-2)], size=50, rgbcolor=\"black\", zorder=50)\n",
-    "    + text(\"P\",[pbeta+0.1, sqrt(pbeta^2-2)], **black_text_args)\n",
-    "    + circle((-2,0),sqrt(2), linestyle=\"dashed\", rgbcolor=\"purple\")\n",
-    "    # dummy lines to add legends (circumvent bug in implicit_plot)\n",
-    "    + line([(2,0),(2,0)] , rgbcolor = \"purple\", linestyle=\"dotted\",\n",
-    "        legend_label=r\"pseudo-wall\")\n",
-    "    + line([(2,0),(2,0)] , rgbcolor = \"black\",\n",
-    "        legend_label=r\"$\\Theta_v^-$\")\n",
-    "    + line([(2,0),(2,0)] , rgbcolor = \"green\",\n",
-    "        legend_label=r\"$\\Theta_u^-$\")\n",
-    "    # vertical characteristic lines\n",
-    "    + line([(0,0),(0,coords_range[1][2])],\n",
-    "        rgbcolor=\"black\", linestyle=\"dashed\",\n",
-    "        legend_label=r\"$V_v$\")\n",
-    "    + line([(-delta2,0),(-delta2,coords_range[1][2])],\n",
-    "        rgbcolor=\"green\", linestyle=\"dashed\",\n",
-    "        legend_label=r\"$V_u$\")\n",
-    "    + line([(-delta2,0),(-delta2-coords_range[1][2],coords_range[1][2])],\n",
-    "        rgbcolor=\"green\", linestyle=\"dotted\",\n",
-    "        legend_label=r\"$\\Theta_u^-$ assymptote\")\n",
-    "    + line([(0,0),(-coords_range[1][2],coords_range[1][2])],\n",
-    "        rgbcolor=\"black\", linestyle=\"dotted\",\n",
-    "        legend_label=r\"$\\Theta_v^-$ assymptote\")\n",
-    "  )\n",
-    "  p.set_legend_options(loc=\"upper right\", font_size=\"x-large\",\n",
-    "    font_family=\"serif\")\n",
-    "  p.xmax(coords_range[0][2])\n",
-    "  p.xmin(coords_range[0][1])\n",
-    "  p.ymax(coords_range[1][2])\n",
-    "  p.ymin(coords_range[1][1])\n",
-    "  p.axes_labels([r\"$\\beta$\", r\"$\\alpha$\"])\n",
-    "  return p"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 6,
-   "id": "ff33752c",
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "image/png": 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\n",
-      "text/plain": [
-       "Graphics object consisting of 14 graphics primitives"
-      ]
-     },
-     "execution_count": 6,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "hyperbola_intersection_plot()"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 7,
-   "id": "6068850f",
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "image/png": 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\n",
-      "text/plain": [
-       "Graphics object consisting of 14 graphics primitives"
-      ]
-     },
-     "execution_count": 7,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "correct_hyperbola_intersection_plot()"
-   ]
-  },
   {
    "cell_type": "markdown",
    "id": "c9348fd3",
@@ -363,7 +104,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 11,
+   "execution_count": 2,
    "id": "4cacebc7",
    "metadata": {},
    "outputs": [],
@@ -383,7 +124,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 12,
+   "execution_count": 3,
    "id": "f53cee90",
    "metadata": {},
    "outputs": [
@@ -399,7 +140,7 @@
        "beta*r + q"
       ]
      },
-     "execution_count": 12,
+     "execution_count": 3,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -418,7 +159,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 13,
+   "execution_count": 4,
    "id": "6ae4f2e7",
    "metadata": {},
    "outputs": [],
@@ -442,7 +183,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 14,
+   "execution_count": 5,
    "id": "c0c12e43",
    "metadata": {},
    "outputs": [
@@ -458,7 +199,7 @@
        "d <= 1/2*beta^2*r + beta*q + 1/2*q^2/r"
       ]
      },
-     "execution_count": 14,
+     "execution_count": 5,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -469,7 +210,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 15,
+   "execution_count": 6,
    "id": "653a3340",
    "metadata": {},
    "outputs": [],
@@ -499,7 +240,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 16,
+   "execution_count": 7,
    "id": "326bb656",
    "metadata": {},
    "outputs": [
@@ -515,7 +256,7 @@
        "beta*q"
       ]
      },
-     "execution_count": 16,
+     "execution_count": 7,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -526,7 +267,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 17,
+   "execution_count": 8,
    "id": "fcd9fa2a",
    "metadata": {},
    "outputs": [
@@ -542,7 +283,7 @@
        "1/2*beta^2*r"
       ]
      },
-     "execution_count": 17,
+     "execution_count": 8,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -553,7 +294,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 18,
+   "execution_count": 9,
    "id": "ade0f7b2",
    "metadata": {},
    "outputs": [
@@ -569,7 +310,7 @@
        "1/2*q^2/r"
       ]
      },
-     "execution_count": 18,
+     "execution_count": 9,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -580,7 +321,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 19,
+   "execution_count": 10,
    "id": "b7799156",
    "metadata": {},
    "outputs": [],
@@ -681,7 +422,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 20,
+   "execution_count": 11,
    "id": "38bbbcd2",
    "metadata": {},
    "outputs": [
@@ -697,7 +438,7 @@
        "1/2*beta^2*r"
       ]
      },
-     "execution_count": 20,
+     "execution_count": 11,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -708,7 +449,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 21,
+   "execution_count": 12,
    "id": "6701d8a7",
    "metadata": {},
    "outputs": [
@@ -724,7 +465,7 @@
        "beta*q + phi"
       ]
      },
-     "execution_count": 21,
+     "execution_count": 12,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -735,7 +476,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 22,
+   "execution_count": 13,
    "id": "7a82d747",
    "metadata": {},
    "outputs": [
@@ -751,7 +492,7 @@
        "-1/2*(psi - q)^2/(R - r)"
       ]
      },
-     "execution_count": 22,
+     "execution_count": 13,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -762,7 +503,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 23,
+   "execution_count": 14,
    "id": "927e6929",
    "metadata": {},
    "outputs": [
@@ -778,7 +519,7 @@
        "1/2*beta^2*r"
       ]
      },
-     "execution_count": 23,
+     "execution_count": 14,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -789,7 +530,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 24,
+   "execution_count": 15,
    "id": "ff25eea1",
    "metadata": {},
    "outputs": [
@@ -805,7 +546,7 @@
        "beta*q"
       ]
      },
-     "execution_count": 24,
+     "execution_count": 15,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -816,7 +557,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 25,
+   "execution_count": 16,
    "id": "e8359c0f",
    "metadata": {},
    "outputs": [
@@ -832,7 +573,7 @@
        "1/2*q^2/r"
       ]
      },
-     "execution_count": 25,
+     "execution_count": 16,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -843,7 +584,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 26,
+   "execution_count": 17,
    "id": "6823c5b8",
    "metadata": {},
    "outputs": [
@@ -859,7 +600,7 @@
        "1/2*beta^2*r"
       ]
      },
-     "execution_count": 26,
+     "execution_count": 17,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -870,7 +611,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 27,
+   "execution_count": 18,
    "id": "160871f2",
    "metadata": {},
    "outputs": [
@@ -886,7 +627,7 @@
        "beta*q"
       ]
      },
-     "execution_count": 27,
+     "execution_count": 18,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -897,7 +638,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 28,
+   "execution_count": 19,
    "id": "1da23b29",
    "metadata": {},
    "outputs": [
@@ -913,7 +654,7 @@
        "-1/2*(psi - q)^2/(R - r)"
       ]
      },
-     "execution_count": 28,
+     "execution_count": 19,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -924,7 +665,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 29,
+   "execution_count": 20,
    "id": "d7235dc3",
    "metadata": {},
    "outputs": [],
@@ -1009,18 +750,18 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 30,
+   "execution_count": 21,
    "id": "f5b1d9bf",
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": 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\n",
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\n",
       "text/plain": [
        "Graphics object consisting of 3 graphics primitives"
       ]
      },
-     "execution_count": 30,
+     "execution_count": 21,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1032,18 +773,18 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 31,
+   "execution_count": 22,
    "id": "47b30d7e",
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": 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\n",
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\n",
       "text/plain": [
        "Graphics object consisting of 3 graphics primitives"
       ]
      },
-     "execution_count": 31,
+     "execution_count": 22,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1055,18 +796,18 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 32,
+   "execution_count": 23,
    "id": "25e4850b",
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": 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\n",
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\n",
       "text/plain": [
        "Graphics object consisting of 3 graphics primitives"
       ]
      },
-     "execution_count": 32,
+     "execution_count": 23,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1086,7 +827,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 33,
+   "execution_count": 24,
    "id": "553bba31",
    "metadata": {},
    "outputs": [],
@@ -1118,7 +859,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 34,
+   "execution_count": 25,
    "id": "990a2840",
    "metadata": {},
    "outputs": [
@@ -1134,7 +875,7 @@
        "n^2*q^2"
       ]
      },
-     "execution_count": 34,
+     "execution_count": 25,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1145,7 +886,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 35,
+   "execution_count": 26,
    "id": "5a3c7037",
    "metadata": {},
    "outputs": [
@@ -1161,7 +902,7 @@
        "n^2*(psi - q)^2 + R"
       ]
      },
-     "execution_count": 35,
+     "execution_count": 26,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1172,7 +913,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 36,
+   "execution_count": 27,
    "id": "82add957",
    "metadata": {},
    "outputs": [],
@@ -1195,7 +936,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 37,
+   "execution_count": 28,
    "id": "d33e3459",
    "metadata": {},
    "outputs": [
@@ -1211,7 +952,7 @@
        "1/2*q^2/r"
       ]
      },
-     "execution_count": 37,
+     "execution_count": 28,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1222,7 +963,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 38,
+   "execution_count": 29,
    "id": "3728c192",
    "metadata": {},
    "outputs": [
@@ -1238,7 +979,7 @@
        "-1/2*(psi - q)^2/(R - r)"
       ]
      },
-     "execution_count": 38,
+     "execution_count": 29,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1249,7 +990,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 39,
+   "execution_count": 30,
    "id": "90149eb2",
    "metadata": {},
    "outputs": [],
@@ -1271,7 +1012,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 40,
+   "execution_count": 31,
    "id": "8b0b0bf4",
    "metadata": {},
    "outputs": [
@@ -1287,7 +1028,7 @@
        "1/2*R + 1/4*Delta*n^2/nu^2 + 1/4*R^2*nu^2/(Delta*n^2)"
       ]
      },
-     "execution_count": 40,
+     "execution_count": 31,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1298,7 +1039,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 41,
+   "execution_count": 32,
    "id": "53bd2a9c",
    "metadata": {},
    "outputs": [
@@ -1314,7 +1055,7 @@
        "n^2*q^2"
       ]
      },
-     "execution_count": 41,
+     "execution_count": 32,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1325,7 +1066,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 42,
+   "execution_count": 33,
    "id": "cfa6e1af",
    "metadata": {},
    "outputs": [
@@ -1341,7 +1082,7 @@
        "n^2*(psi - q)^2 + R"
       ]
      },
-     "execution_count": 42,
+     "execution_count": 33,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1352,7 +1093,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 43,
+   "execution_count": 34,
    "id": "801a348a",
    "metadata": {},
    "outputs": [
@@ -1368,7 +1109,7 @@
        "1/2*psi + 1/2*R/(n^2*psi)"
       ]
      },
-     "execution_count": 43,
+     "execution_count": 34,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1379,7 +1120,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 44,
+   "execution_count": 35,
    "id": "d4bf7486",
    "metadata": {},
    "outputs": [
@@ -1395,7 +1136,7 @@
        "1/4*n^2*psi^2 + 1/2*R + 1/4*R^2/(n^2*psi^2)"
       ]
      },
-     "execution_count": 44,
+     "execution_count": 35,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1406,7 +1147,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 54,
+   "execution_count": 36,
    "id": "896d26dd",
    "metadata": {},
    "outputs": [
@@ -1422,7 +1163,7 @@
        "a_v*r/n + b_q/n"
       ]
      },
-     "execution_count": 54,
+     "execution_count": 36,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1433,7 +1174,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 55,
+   "execution_count": 37,
    "id": "51f22f7d",
    "metadata": {},
    "outputs": [],
@@ -1449,7 +1190,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 56,
+   "execution_count": 38,
    "id": "8148f5cd",
    "metadata": {},
    "outputs": [
@@ -1465,7 +1206,7 @@
        "d > 1/2*(a_v*r + 2*b_q)*a_v/n^2"
       ]
      },
-     "execution_count": 56,
+     "execution_count": 38,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1476,7 +1217,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 57,
+   "execution_count": 39,
    "id": "af5315c8",
    "metadata": {},
    "outputs": [
@@ -1492,7 +1233,7 @@
        "delta"
       ]
      },
-     "execution_count": 57,
+     "execution_count": 39,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1503,7 +1244,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 58,
+   "execution_count": 40,
    "id": "e3e75309",
    "metadata": {},
    "outputs": [
@@ -1519,7 +1260,7 @@
        "n^2*q^2/kappa"
       ]
      },
-     "execution_count": 58,
+     "execution_count": 40,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1530,7 +1271,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 59,
+   "execution_count": 41,
    "id": "203b216b",
    "metadata": {},
    "outputs": [
@@ -1546,7 +1287,7 @@
        "n^2*(psi - q)^2/kappa + R"
       ]
      },
-     "execution_count": 59,
+     "execution_count": 41,
      "metadata": {},
      "output_type": "execute_result"
     }