diff --git a/notebooks/characteristic_curves.ipynb b/notebooks/characteristic_curves.ipynb
index d4ca11d0137eef4c335a0b0cf26b8ffc96e9fd07..b8f1a01015b423ef706c35d346c3e67f98404e1a 100644
--- a/notebooks/characteristic_curves.ipynb
+++ b/notebooks/characteristic_curves.ipynb
@@ -302,7 +302,7 @@
  ],
  "metadata": {
   "kernelspec": {
-   "display_name": "SageMath 9.7",
+   "display_name": "SageMath 10.1",
    "language": "sage",
    "name": "sagemath"
   },
@@ -316,7 +316,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.10.8"
+   "version": "3.11.7"
   }
  },
  "nbformat": 4,
diff --git a/notebooks/rank_zero_case_curves.ipynb b/notebooks/rank_zero_case_curves.ipynb
index c38af9cecba24f517c271765cf6248b1580e3c05..a4bf01a33700f5f9c1c75c27c2d137079ffc60c4 100644
--- a/notebooks/rank_zero_case_curves.ipynb
+++ b/notebooks/rank_zero_case_curves.ipynb
@@ -58,7 +58,7 @@
        "$\\displaystyle \\text{Chern Character:} \\\\ \\begin{array}{l} \\mathrm{ch}_{0} = 0 \\\\ \\mathrm{ch}_{1} = 1 \\ell^{1} \\\\ \\mathrm{ch}_{2} = 0 \\ell^{2} \\end{array}$"
       ],
       "text/plain": [
-       "<pseudowalls.chern_character.Chern_Char object at 0x7f2735ae0ee0>"
+       "<pseudowalls.chern_character.Chern_Char object at 0x7f1ae4033d10>"
       ]
      },
      "execution_count": 3,
@@ -73,18 +73,18 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 18,
+   "execution_count": 4,
    "id": "c0e0ff38",
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": 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",
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\n",
       "text/plain": [
        "Graphics object consisting of 4 graphics primitives"
       ]
      },
-     "execution_count": 18,
+     "execution_count": 4,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -104,7 +104,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 32,
+   "execution_count": 5,
    "id": "5bf18ed0",
    "metadata": {
     "scrolled": true
@@ -119,10 +119,10 @@
        "$\\displaystyle \\text{Chern Character:} \\\\ \\begin{array}{l} \\mathrm{ch}_{0} = 1 \\\\ \\mathrm{ch}_{1} = 2 \\ell^{1} \\\\ \\mathrm{ch}_{2} = 1.80000000000000 \\ell^{2} \\end{array}$"
       ],
       "text/plain": [
-       "<pseudowalls.chern_character.Chern_Char object at 0x7f9ed152cc10>"
+       "<pseudowalls.chern_character.Chern_Char object at 0x7f1ae3e178d0>"
       ]
      },
-     "execution_count": 32,
+     "execution_count": 5,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -137,7 +137,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 33,
+   "execution_count": 6,
    "id": "26d52f14",
    "metadata": {},
    "outputs": [
@@ -150,10 +150,10 @@
        "$\\displaystyle \\text{Chern Character:} \\\\ \\begin{array}{l} \\mathrm{ch}_{0} = 1 \\\\ \\mathrm{ch}_{1} = -2 \\ell^{1} \\\\ \\mathrm{ch}_{2} = 1.80000000000000 \\ell^{2} \\end{array}$"
       ],
       "text/plain": [
-       "<pseudowalls.chern_character.Chern_Char object at 0x7f9ed1547dd0>"
+       "<pseudowalls.chern_character.Chern_Char object at 0x7f1ae3eecf90>"
       ]
      },
-     "execution_count": 33,
+     "execution_count": 6,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -165,42 +165,80 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 34,
+   "execution_count": 14,
+   "id": "7c5d59f7",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "<html>\\(\\displaystyle -\\alpha \\beta + 2 \\, \\alpha\\)</html>"
+      ],
+      "text/latex": [
+       "$\\displaystyle -\\alpha \\beta + 2 \\, \\alpha$"
+      ],
+      "text/plain": [
+       "-alpha*beta + 2*alpha"
+      ]
+     },
+     "execution_count": 14,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "stability.Tilt().rank(u_1)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 36,
    "id": "be444fa0",
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": 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",
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\n",
       "text/plain": [
-       "Graphics object consisting of 3 graphics primitives"
+       "Graphics object consisting of 12 graphics primitives"
       ]
      },
-     "execution_count": 34,
+     "execution_count": 36,
      "metadata": {},
      "output_type": "execute_result"
     }
    ],
    "source": [
-    "implicit_plot(stability.Tilt().wall_eqn(u_1, v)/alpha, beta_range, alpha_range) \\\n",
-    "+ implicit_plot(stability.Tilt().degree(u_1), beta_range, alpha_range) \\\n",
-    "+ Theta_v_plot"
+    "( pseudo_semistab_char_curves_rank_zero :=\n",
+    "implicit_plot(stability.Tilt().wall_eqn(u_1, v)/alpha, beta_range, alpha_range, linestyle=\"dashed\", color=\"purple\") \\\n",
+    "+ implicit_plot(stability.Tilt().degree(u_1), beta_range, alpha_range, color=\"green\") \\\n",
+    "+ implicit_plot(stability.Tilt().rank(u_1)/alpha, beta_range, alpha_range, color=\"green\", linestyle=\"dotted\") \\\n",
+    "+ text(r\"$\\Theta_v^{-}$\", (-0.1, 0.5), rotation=90, fontsize=\"xx-large\", color=\"black\") \\\n",
+    "+ text(r\"$V_u$\", (1.9, 1.5), rotation=90, fontsize=\"xx-large\", color=\"green\") \\\n",
+    "+ text(r\"$\\Theta_u^{-}$\", (0.75, 1.3), rotation=-45, fontsize=\"xx-large\", color=\"green\") \\\n",
+    "+ point([0, 1.9], size=30, rgbcolor=\"black\", zorder=50)\n",
+    "+ text(\"Q\",[-0.1, 1.8], **black_text_args)\n",
+    "+ point([0, 1.3], size=30, rgbcolor=\"black\", zorder=50)\n",
+    "+ text(\"P\",[-0.1, 1.3], **black_text_args)\n",
+    "+ implicit_plot(stability.Tilt().degree(v), beta_range, alpha_range, color=\"black\")\n",
+    "+ text(\"pseudo-wall\",[-1.4, 1.4], color=\"purple\", rotation=45)\n",
+    ")"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 35,
+   "execution_count": 8,
    "id": "2452201f",
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": 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",
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PDwEBAapDIcrQxYvSC+DrK6s6JCVJcnHoEPDnn9JrxBpZpjV1KjBpkuzPnSvlKogyUrasTEa6ehUYMUJWDDl2TD5k1a8P/PEHEzvSP06KIMqh8HDgyy9TeuMAoH17YPx4WZ2AzGPBAlkpAJDE7pNP1MZD+nP7NvDf/wI//CArUgAyLOKbb6SOIZG14KQIIjO6fVvKIVSuLCs7JCZKyYwjR4ANG5jMmdPKlVJ0GZCZi0zmKCeKFwcmTwauXJEeO1dXWWrvpZeA1q2l945Ib5jQEWXTo0fAV18BFSsC330nkx2aNZPxcZs2cXaluW3aJDX7NE3KvXzzjeqISO88PYFvv5UxdoMHA87OwNat8n+5Wzd5nkgvmNARZSExUQqXVq4MfP65rEhQpw6wZYvMnGvUSHWEtm/PHqBLF6k11qMHEBjIcYlkOt7eUpj43Dn50ODgAKxeLeNiP/ooZX1lImvGhI4oE3/+CdSqBQwYIIu++/gAy5fL7dXWrZlUWMLff8vYxKdPZbLJkiWcLUzm4eMjM6aPH5f/3/HxMpmiYkUZrxkbqzpCoozxzyJROs6eldIGbdpILavChWXt1TNnZEYlEwrLOHtW3lhjYoCmTaXXxNlZdVRk62rWlB74bduA2rWl/Y0cKWVQ1qzhjFiyTnxbInrG/fvAsGHAf/4jxUednIChQ2UszbBhLAhsSaGhUgg2KgqoW1cmnLi6qo6K7MnLL8sEicWL5bbs5cuyzFyLFsDJk6qjI0qNCR0RpHbc4sVAlSqy7mpCgtSoOn1aJkAULqw6Qvty86Ykc9euyTimLVsADw/VUZE9cnQE3n5bCod/9pkUJ961C/D3Bz78UD4EElkDJnRk944dk4kN77wjJUmqVZOZbuvXS4JHlnX/vtzqvnABKFdOfhfFiqmOiuxdwYLAxIkyDKBLF/kQ+MMP8jdi0SL5N5FKTOjIbkVHy1qgAQGyqoObGzBtGnDihPQOkeU9fiwTH44fB0qUkMXUS5dWHRVRinLlZN3g7dul9/j2baBfP6BJE+DUKdXRkT1jQkd2R9OkQG21alL+QtOkFMa5c8DHHwN586qO0D7FxUnPx19/AYUKyQzjSpVUR0WUvpYt5cPftGlAgQLA/v1yG/aTT4CHD1VHR/aICR3ZlStXgLZtZaZqZKTcLtm+XdZg9fZWHZ39SkwEeveWNTXz55ciwrVqqY6KKHPOzvIh8MwZoFMnacfTpgE1asikKiJLYkJHdiEhQcqO1KghPT8uLsCECTJTrWVL1dHZN02TW9+rVskb5Jo1LNZM+lKmDBAUBPz+O1C+vMzQfuUV+eB465bq6MheWHVCFxgYCD8/PwQEBKgOhXTs1ClZePvjj2WMVrNmksh9/jnLkFiDsWOBuXOlSPOyZVJ3jkiPXnkF+Ocf+Vvj6ChDO3x9pV2zdh2Zm4OmWX8zi4mJgYeHB6Kjo+Hu7q46HNKJ+HhZgHviRNn38JDbIf36cYUHazFtmow5AiSpe+89tfEQmcqxY0D//jLBB5Bkb948oFQppWGRzhiT/1h1Dx1RTp04AdSvD3zxhSRzr70GhITIH1gmc9Zh4cKUZG7yZCZzZFvq1gUOHwa+/lomWm3aBFSvLkvXWX83CukREzqyKQkJwKRJUork+HGgSBGZ8LBuHVCypOroyGDNGuDdd2X/009lWSUiW+PsDIwZI+sRBwRIqaS+fYEOHaR4NpEpMaEjm3HhgtSCGjNGeuU6dpReuR492CtnTbZvl8HiSUly+3vyZNUREZlX9epS1mTSJOmt27hRJmgFBamOjGwJEzrSPU2T8Ve1awMHDwLu7sBPP0kvUIkSqqOjZx06JIl2XJyUeTBMhiCydU5OwKhRwNGjUpInKkrqLvbuDcTEqI6ObAETOtK127fl9sWgQTKDtUULmdXauzcTBWtz+jTQrh3w6JEser58ubzJEdmT//xHxtaNHi0zYX/+WT6M7t+vOjLSOyZ0pFt//il/HDdulNsY06cD27YBZcuqjoyeFxoq5Uju3gVeeAFYu5YlY8h+5c0LfPMNsGeP1K27ckWGi4wfL+OAiXKCCR3pTlyczI5s00YGFvv5ySfeYcPkEy9Zl5s3ZW3c69elJtemTbLQOZG9a9xYJm/17CljSr/8EmjeHAgLUx0Z6ZHRb3979uxB+/btUbJkSTg4OGDdunWZHr9r1y44ODikeZw9ezanMZMdM3ySnTZN/v3++yljUsj6REdL4n3hgixqvnUrULSo6qiIrIeHh9x2/eUXwM1N1jL29wc2bFAdGemN0Qndo0ePUKtWLcyaNcuo886dO4eIiIjkR+XKlY19abJzQUHyh+7wYVm8fe1aIDAQcHVVHRml58kTqf93/Djg6Sm3w0uXVh0VkXXq0UP+rwQEyNCEDh2AoUPljgRRdhg9JLlt27Zo27at0S/k6emJQoUKGX0eUVyc1Cr7/nv5d8OGwIoV0uND1ikhAXjzTRkj5O4u4x35GY4ocxUqAPv2yYSJ6dPlb97Bg8Dq1RwbTFmz2Igjf39/eHt7o2XLlti5c6elXpZ0LjxcxpQYkrlPPgF272YyZ80M9eU2bADy5ZNJK7Vrq46KSB/y5gX++1/5/1O4sJT68fcH/vhDdWRk7cye0Hl7e2P+/PkICgrCmjVrULVqVbRs2RJ79uzJ8JzY2FjExMSkepD92b4dqFMHOHBAbrGuXw9MnSrV18k6aZosTL50KZAnD7BqFdC0qeqoiPSnfXtZYaJePbkF+8orwLhxQGKi6sjIWjloWs5XlXNwcMDatWvRsWNHo85r3749HBwcsCGDUZ/jx4/Hl19+meb57CxOS/qnacC338pth6Qk+XT6229yO4Ks2zffAGPHyv5PP0k9QCLKudhYmcE/Z478u21bmUBRuLDauMgyYmJi4OHhka38R0mRhwYNGuDChQsZfn306NGIjo5OfoSHh1swOlLp4UOgWzdZ2zMpSdY93L+fyZweLFiQksxNn85kjsgUXFyA2bOl1ztfPrn1GhAA/POP6sjI2ihJ6IKDg+Ht7Z3h111cXODu7p7qQbbv0iWZ8PDrr3Jbdc4cYOFC+SNG1i0oCBg4UPbHjJEeBSIynV695MNtuXLyt7JBA7lzQWRg9CzXhw8f4uLFi8n/vnLlCo4fP44iRYqgbNmyGD16NK5fv46lS5cCAGbMmIHy5cujevXqiIuLw7JlyxAUFIQgrkpMz9ixA+jaVcaKeHlJgtCokeqoKDv+9z8puZCUBAwYAHz1leqIiGyTv7/U3ezeXcYYd+0q4+q++IJF1SkHPXRHjx6Fv78//P39AQDDhw+Hv78/vvjiCwBAREQEwp4pcx0XF4cRI0agZs2aaNKkCfbt24dNmzahU6dOJvoRSO9mzwZatZJkrn594NgxJnN6cfQo0LGjlJbp0kV6VbmGLpH5FCsmt10NveBffimJ3aNHauMi9XI1KcJSjBkUSPqRkAB8+GHKYN+ePWUcFm+x6sP587J0UVQU0LKlLOnF9VmJLGfxYhnqEBcnpYE2bADKlFEdFZmS1U+KIIqOlmn4hh6dyZNTBv2S9bt2TXpVo6KAunVl1Q4mc0SW1bevDFfx9JRVJl54Qe5wkH1iQkcWFxoqPTtbtwL580syMHIkb9XpxZ07QOvW8nusUgXYvFnWoCQiy2vcWJZDrFEDiIiQuo9ZLLFONooJHVnUkSPyKfL0acDbW5aG6tBBdVSUXY8eAa++CoSEAKVKSVLu6ak6KiL7Vq4c8Ndf8kHr8WOgUydgxgzVUZGlMaEji9m0SZbxunkTqFlTlrSpW1d1VJRd8fEy+PrgQSlq+uefXIKNyFq4uwO//y5j6jRNJk0MHcqVJewJEzqyiAULgNdek0+PrVsDe/dy8K6eJCUB77wjs+tcXSU5r15ddVRE9CwnJ6kaMHWq/Pv774E33wSePlUbF1kGEzoyK00Dxo8H3n1XkoK335bF2jlZWT80DRgxAli2TNZn/fVXKQBNRNbHwQH45BNgxQogb14pPty6NXD/vurIyNyY0JHZJCYCgwZJnSQA+PxzYNEiWQWC9GPKFOC772R/yRKZnUxE1u3NN4EtW+TD8549QJMmwI0bqqMic2JCR2YRGyt/UObNk0+Ms2cDEyZwJqveLF4MjB4t+999J7UCiUgfXnpJhrd4e8var40bA88s9EQ2xqoTusDAQPj5+SEgIEB1KGSEhw+B9u2lqz9vXmD1aumpI33ZsEGW8gKkrMzQoUrDIaIcqFlT1oCtVAm4ehV48UXgxAnVUZE5cKUIMql794B27WQmZIECUg/p5ZdVR0XG2rtXCgc/fSrjHhctYu8qkZ7dvAm0aSMFiD08ZGJT48aqo6KscKUIUuLWLeniP3gQKFJEFm1nMqc/p05JD+vTp7JdsIDJHJHelSgB7NwpPXTR0fKB7X//Ux0VmRITOjKJGzeAZs2kK79ECWD3bikgTPoSGiqf4qOj5Q//qlVSCoGI9K9QIakfaShA/MorUruObAMTOsq10FBZbubsWaB0aZlRVaOG6qjIWLdvy6f2GzekxtyGDVJzjohsR/78wPr1QMeOMnmtUydgzRrVUZEpMKGjXLlyRXrmLl0CfHxk7FWVKqqjImM9fCif1s+fl4LPW7bIahBEZHtcXGSyWrdusgLMG29IbzzpGxM6yrHLl2Upr9BQoHJl6ZkrX151VGSs+HigSxdZZ7doUVmftXRp1VERkTk5OwO//AL06SM1Q3v0kGLEpF9M6ChHrlyRCRBhYdIjt2sXkwA90jSgXz8ZV5M/v8x8q1ZNdVREZAl58sgM9r59ZSWfnj2BlStVR0U5xeHOZLSrV6Vn7tlkzttbcVCUIyNHAj//LH/Yf/uNE1mI7I2jI/DjjzKTfdEi4K23ZL9bN9WRkbHYQ0dGCQ9P2zPHZE6f/vtf4NtvZX/hQqBtW7XxEJEajo5SnsjQU/fWW5wooUdM6CjbIiKAFi2kh65SJalpxGROn5YtA0aMkP0pU2QcDRHZL0NPXe/eMqbuzTeBzZtVR0XGYEJH2RIVJUWCL14EypWTgpQlS6qOinJi61b5JA4Aw4YBn3yiNh4isg6OjtJbb5j92qkTsGOH6qgou5jQUZaio6UQZUiIJHE7dgBly6qOinLi2DGgc2cgIQHo3h2YNo2rQBBRCicnGVfboYPUqWvfXtaCJevHhI4y9fgx8OqrwN9/A8WLA9u3AxUqqI6KcuLiRRkn9/Ch3DpfvFg+kRMRPcvZWerStWol7wHt2skqQGTdrPrPeWBgIPz8/BAQEKA6FLtkKDi5b58s5rx1K+DrqzoqyombN6WX9fZtwN8fWLtWiosSEaXHxUX+TjRunHKX5uJF1VFRZhw0TdNUB5GVmJgYeHh4IDo6Gu7u7qrDsQtJSTJQftkyWf5p61ZZ25P05+FDKTNz7Jj0ru7fL+vtEhFl5f59+ftx4oT8/di3j5PhLMmY/Meqe+hIDU2TGZDLlkl9sl9/ZTKnV4ZVII4dA4oVkyW9mMwRUXYVKiR/NypWlNWB2rSRJI+sDxM6SmPaNOC772R/yRJZ45P0JykJeOedlFUgfv9dlmgjIjKGl5fcpfHyAk6eBDp2lAkTZF2Y0FEqy5cDn34q+9OmyVIwpE+jR6fuZeUqEESUUxUqAH/8Abi5Abt3y5CcpCTVUdGzmNBRsp07gbfflv2hQ4GPP1YZDeXGzJnA1Kmy/+OPMkuNiCg3ateWiRKGWbCGD/9kHZjQEQDg9Gng9ddlzFXXrrIsFOnTmjWSkAPAV1+lJOlERLnVsqWUPALkfeKHH9TGQymY0BEiI6UHJzpaJj8sXcr6ZHq1dy/Qo4dMbHnvPWDMGNUREZGteest4JtvZP+jj4ANG9TGQ4Jv23buyROpCB4WBlSpAqxbB+TLpzoqyonTp4HXXpPByh07AoGBXAWCiMxj1ChgwAD58NijB3D8uOqIiAmdHTPUmjt8GChSBNi0CShaVHVUlBPXr8sqEPfvA40ayeSWPHlUR0VEtsrBQT40/t//AY8eyYpCN26ojsq+MaGzY+PGyexHZ2cZ6FqpkuqIKCdiYuSWeXg4UK2a3P5wdVUdFRHZOmdnYPVqWUHo+nW52/P4seqo7BcTOju1fLkMmAeA+fOBpk3VxkM5ExcHdOoktaG8vKSsAHtZichSChWSGpdFiwJHj8okLOtff8o2MaGzQ0ePAv36yf4nn3AWpF4lJQF9+wL/+x9QsKDcMi9fXnVURGRvKlRIKWfy668pEybIsqw6oQsMDISfnx8CAgJUh2Izbt6U8iRPn8oKEJMmqY6IcmrMGOlpdXICgoKAOnVUR2R7Hj2SsUIODrJPROlr0kTG1AHAZ59x5qsKDppm/Z2jxixOSxmLi5MaQvv2AVWrAocOAR4eqqOinJgzB3j/fdlfskQmt5DpPXokvZ8A8PAhUKCA2niIrN0HH0hi5+Ym7zG+vqoj0jdj8h+r7qEj0xo6VJI5d3dg/Xomc3q1YYP80QSACROYzBGR9fjuOxmT/eCBTJKIjlYdkf1gQmcnliyRXh0HB+CXX6SHjvTn4EHgzTdl/Fy/fnJrg4jIWhjG0ZUpA1y4APTuzTVfLYUJnR0IDgYGDpT98eOlXhDpz8WLQPv2Ugy6XTtg7lwWDiYi6+PpKUsQurjIHYXJk1VHZB+Y0Nm4e/eAzp1l9YB27dijo1dRUVI4OCoKqFtXFsZ2clIdFRFR+urVA2bNkv3PP5fZ+GReTOhsWFKSlCS5ckXKWSxbxjVa9ejJE1nS6+JF+T3+/nvKQH0iImvVv7+UVkpKArp3l+LDZD58e7dh06ZJd3fevMBvvwGFC6uOiIyVmCgLYR84IAU8N2+WAsJERHoQGAjUqgXcvg106wbEx6uOyHYxobNRf/0ldcoAYOZMuU1H+vPxx1KwM29eSc5ZAoCI9MTVVToU3N3lfYnDfsyHCZ0NunNHurcTE4EePYB331UdEeXE99/LAwCWLpXCnUREelOpErBokexPnQps2aI2HlvFhM7GaBrwzjuyUHvlypwJqVfr1gHDhsn+lClyq4KISK86dwYGD5b93r2BiAi18dgiJnQ2JjAwZdzcypVSrZv05eBB6WHVNOC992S9XSIivZs2LWU8Xa9echeJTIcJnQ05cQIYMUL2p07l2p56dOmSzGh9+lTKzMyaxR5WIrIN+fJJR0P+/FLG5NtvVUdkW5jQ2YgnT2S8XGysFA7+8EPVEZGx7t4FXnlFPr3WqcNac0Rke6pVA374QfY//xw4ckRtPLbEqhO6wMBA+Pn5ISAgQHUoVm/kSCAkREpaLFrEXh29iY0FOnUCzp2TJXNYa46IbFXfvsAbbwAJCUDPnsCjR6ojsg0OmqZpqoPISkxMDDw8PBAdHQ13d3fV4VidP/8E2rSR/T/+SNknfdA0GSS8bJmMedy/H6hRQ3VUBMgbjSGxfvgQKFBAbTxEtuLuXaBmTSk2/N57MoGP0jIm/7HqHjrK2p078mkHkBlETOb0Z9w4SeacnKReE5M5IrJ1RYoAP/0k+/PmSdF0yh0mdDo3eLBM/65aVSZCkL4sWQJMnCj78+YBrVopDYeIyGJatgSGDpX9d96Rtaop55jQ6djKlTJwPk8e4OefZeYQ6cfOncCAAbI/Zoz8QSMisifffAP4+QE3bwLvv686Gn1jQqdTkZEpRRo/+wzgvBF9OXtWCm0mJEjRYEMvHRGRPXF1lZVwnJyAX3+VTgrKGSZ0OqRpwKBBMqjU3x8YO1Z1RGSMW7ekxty9e0DDhsDixYAj/ycSkZ2qWxcYPVr2P/hA/kaS8fg2okOrVsnSUE5OMgbL2Vl1RJRdT54AHToAV64AFSoA69fLJ1QiInv22WfAf/4j4+g++EB1NPrEhE5nbt8GhgyR/c8+k2nfpA+GdXYPHgQKF5ZZXcWLq46KiEi9vHmlgyJPHrn1umaN6oj0hwmdznz0kXyCqVkzpYua9GH8eJnI4uQkf6yqVlUdERGR9ahTR4rkAzJB4t49tfHojdEJ3Z49e9C+fXuULFkSDg4OWLduXZbn7N69G3Xr1kW+fPlQoUIFzGUFwRz5/XdgxQoZb7VokXyiIX1YuhSYMEH2580DmjdXGg4RkVX6/HNZHuzmTeDjj1VHoy9GJ3SPHj1CrVq1MGvWrGwdf+XKFbRr1w5NmjRBcHAwxowZgw8//BBBQUFGB2vPHj5MmdI9fLgMIiV92LMH6N9f9keNYnkSIqKM5MsHLFwoy1cuXizlnSh7crX0l4ODA9auXYuOHTtmeMzIkSOxYcMGnDlzJvm5gQMH4sSJEzhw4EC2XodLfwHDhgEzZgA+PsA//7DmnF5cugTUry8zkjt3Blav5oxWPeHSX0RqvP8+MGcOULkycPKkJHr2yKqW/jpw4ABaPVf+vnXr1jh69Cji4+PTPSc2NhYxMTGpHvbs77+BmTNlf/ZsJnN6cf8+8OqrkszVqye3XZnMERFlbdIkwNsbuHABmDxZdTT6YPa3l8jISJQoUSLVcyVKlEBCQgKiMljnY9KkSfDw8Eh+lClTxtxhWq3ERGDgQCApSQrQcq1WfYiPB7p2lQLCpUsDGzYwESciyi4PD7krBUhyd/680nB0wSL9BQ4ODqn+bbjL+/zzBqNHj0Z0dHTyIzw83OwxWqt584AjRwB3d+C771RHQ9mhaVJaZvt2uUW3YYN80iQiouzr2lU6MeLiZGWknA8Qsw9mT+i8vLwQGRmZ6rlbt27ByckJRYsWTfccFxcXuLu7p3rYo1u3ZI1PQNa7Y1KgDzNnSiLu4AAsXy6reRARkXEcHIBZs2T83PbtXBYsK2ZP6Bo2bIht27alem7r1q2oV68enLnEQaZGjQKio6U2z8CBqqOh7NiyRWYhA8DUqcBrr6mNh4hIzypWTKm5OmKETE6i9Bmd0D18+BDHjx/H8ePHAUhZkuPHjyMsLAyA3C7t3bt38vEDBw5EaGgohg8fjjNnzmDRokVYuHAhRowYYZqfwEYdOiRTtgH5hJInj9p4KGshITLOMSkJ6NuXNZSIiEzh009lqcTr14Gvv1YdjfUyOqE7evQo/P394f/vfaThw4fD398fX3zxBQAgIiIiObkDAB8fH2zevBm7du1C7dq1MXHiRMycOROdO3c20Y9ge5KSUpb36tNHFnAn63b7tsxojYkBmjSR6fYZDBElIiIj5MuXMoZ8+nTg4kW18VirXNWhsxR7q0O3ZIn08Li5ycweLy/VEVFm4uKAl18G9u6VT5GHDgHFiqmOikyBdeiIrIOmAW3bAn/+CbRvL5PN7IFV1aEj4zx4kDJe4PPPmcxZO02T2Vd798pM5I0bmcwREZmag4OUMXFykr+zW7eqjsj6MKGzMt98A0RGSnXsjz5SHQ1l5YcfgB9/lILBK1cCfn6qIyIisk3VqqUMRxo2DEhIUBuPtWFCZ0VCQ1PGCUybBuTNqzYeytyff8ofFUBmtLZtqzYeIiJb98UXQNGiMgltwQLV0VgXJnRWZMwYIDYWeOklGSNA1uvcuZQZrW+/nVKqhIiIzKdQIeDLL2V/3DiZiEaCCZ2VOHpUitA6OAD//S9nSFqze/ck4Y6OBho3BubO5e+LiMhS3n0XqFJFqgtMmaI6GuvBhM4KaBrwySey/9ZbXFnAmiUmAt27y4LRZcsCa9YALi6qoyIish/OzimJ3HffSX06YkJnFf74A9i1SxKDr75SHQ1lZuRIGTvn6gqsXw94eqqOiIjI/nToADRqBDx5IrdeycoTusDAQPj5+SEgIEB1KGaTlJRSpmTIEKBcObXxUMZ++kluhwNSK7B2bZXREBHZLwcH4NtvZX/xYuDMGbXxWAMWFlbsl1+Anj0BDw/g8mWgSBHVEVF6Dh0CmjaVIsKffw5MmKA6IrIEFhYmsm4dO8rdktdflyEwtoaFhXUiPl6mYAOyVh2TOet044b8sYiLkz8e48erjoiIiACp3ergAKxdK5ML7RkTOoWWLJFeOU9PFhG2VrGxQJcuQEQEUL06sHSpFBEmIiL1/PzkLhcAfPaZ2lhU41uTIrGxwMSJsj96NG/lWCPDsl4HDkjto3XrZH1dIiKyHuPHy5Jgf/4J/PWX6mjUYUKnyIIFQHg4UKoUMHCg6mgoPbNnAwsXSo/cihVApUqqIyIioudVqAD07Sv7n3+uNhaVmNAp8PQpMGmS7I8ZA+TLpzYeSmvPHmDoUNmfMgVo00ZpOERElInPPpP6dDt3yt9ve8SEToEFC2SgfZkyQL9+qqOh5127BnTtKgs/9+gBfPyx6oiIiCgzZcumvJ/a68Q1JnQW9vQpMHmy7I8ezVUGrM3Tp0DnzsCtW0CtWpJ8c1kvIiLrN3q0fffSMaGzsCVLpHeuVCngnXdUR0PP0jTg/feBw4eBwoWlplH+/KqjIiKi7ChbNuV91R5XXWJCZ0Hx8Snrz336KXvnrM3cuVJx3NERWLlSBtoSEZF+jBwJ5MkDbNsmH87tCRM6C1q5Erh6FSheHOjfX3U09KwDB1JqAU6aBLRqpTYeIiIyno8P8NZbsm8Y3mQvmNBZSFJSSu/csGG8lWdNbt6U4sHx8bL95BPVERERUU6NGpWyeoQ9rfHKhM5CNm0CTp+WwrTvv686GjKIjwe6dZNxjb6+wKJFnARBRKRnvr6yTCMATJ2qNBSLsuqELjAwEH5+fggICFAdSq4ZeucGDQI8PNTGQilGjQJ275YF2Nes4UoQRES2YORI2S5bJqWo7IGDpmma6iCyEhMTAw8PD0RHR8Pd3V11OEY7cABo1EimU1+9CpQsqToiAoDVq6V3DpBk7vXX1cZD1ufRI0n2AeDhQy7RR6QnzZpJ+ZIRI4Bvv1UdTc4Yk/9YdQ+drZg2TbY9ezKZsxZnzqRMbx85kskcEZGtMYyHnjcPiIlRG4slMKEzs0uXZGAmIJ8SSL2HD2Xyw6NHwEsv2We9IiIiW9eunYyne/BA1uW2dUzozOyHH6RgbZs2gJ+f6mhI04B33wVCQgBvb2DFCsDJSXVURERkao6OKWtyf/89kJioNByzY0JnRjExMmsSSGlUpFZgYEoSt3o1UKKE6oiIiMhcevUCihYFQkOBDRtUR2NeTOjMaMkS6eqtVo2Faq3BoUPA8OGy/+23wIsvqo2HiIjMy9UVeO892f/+e7WxmBsTOjNJSgJmzZL9Dz9kbTPV7twB3nhD6s517pyyKgQREdm2QYNkObDdu4GTJ1VHYz5M6Mxk61bgwgXA3V26fEkdTQPefhsICwMqVZLBsUywiYjsQ+nSKZUMAgPVxmJOTOjMxNBo+vZNqWNFakybBvz+O+DiAvz6Kws7ExHZmyFDZLtsGXD/vtJQzIYJnRlcvSpLfQHS1Uvq7NsHjB4t+99/D9SurTQcIiJSoEkToEYN4PFj4KefVEdjHkzozGD+fLnN9/LLQNWqqqOxX7dvA2++KVPV33pLypUQEZH9cXBIWUd9zhx5j7Y1TOhMLD4+pVTJwIFqY7FnSUkybu76dUmq587luDkiInvWs6cs33funCwJZmuY0JnYxo3AzZtS3+y111RHY79mzAA2b5Zxc6tXcxwjEZG9c3MDevSQ/fnz1cZiDlad0AUGBsLPzw8BAQGqQ8m2H3+Ubd++gLOz2ljs1eHDsj4rIIldzZpKw7FKP9nqIBIyObYVsiUDBsg2KAi4d09tLKZm1Qnd4MGDERISgiNHjqgOJVvCw4EtW2S/Xz+1sdir+/eBbt2AhARZr9VQUJJSDBs2DFouBpDMmjULS5YsMV1AZLXYVsjW1KsH1KoFxMYCv/yiOhrTsuqETm9++kkGWjZrJvXOyLIM67RevQr4+EhvKcfNpfbDDz8gLi4Ob7/9do6/x+DBg7Fu3Tqr67nZsmULGjdujIYNG6Jx48bo0KED/vnnH9Vh6RbbCtkiB4eUDhfDeHeboelAdHS0BkCLjo5WHUqGEhM1rUIFTQM0belS1dHYpx9/lOvv5KRphw6pjsb6nD17Vitfvrz28OHDXH+v+/fva35+ftqZM2dMEFnurV+/XnN0dNRWrlyZ/NzEiRM1Nzc37ejRozn+vg8fSpsCZN9esK2QLYuK0rS8eeX/dXCw6mgyZ0z+w4TORHbvlsbh5mZff/itxblzmpY/v/wOJk9WHY11atOmjfbdd9+Z7PvNmzdPq1+/vsm+X07FxMRopUqV0po3b57q+YSEBK1UqVJa7dq1tcTExBx9b3tN6PTYVk6fPq0dyuKTnDnbCulLly7y/3roUNWRZM6Y/Ie3XE3EcEfhjTdkWjRZTmys1Jt7/Bho0QL45BPVEVmf4OBg7N69O1e3z57Xp08fhIWF4ffffzfZ98yJ3377DdevX8ebb76Z6vk8efKgW7duOH78OPbu3asoOv3RW1s5ceIEunbtipYtWyI8PDzTY9lWyKBvX9kuWyblxmwBEzoTePxYlpQCgD591MZij8aMAYKDgaJFgaVLAUe26jQWLFiAFi1aoFChQib7ni4uLhgwYACmTJmSreOrV6+OkSNH4tatWyaLAQA2bNgAAKhbt26ar/n7+wOA8qRTT6yhrWTH0aNH0bFjR7Rr1w6NGjXCpUuX0Llz50zPYVshg1atpLxYVFTKZEa941ufCaxfDzx4AJQvDzRurDoa+7JtGzB9uuwvXgyUKqU2Hmu1Zs0aNGzY0OTf96WXXsJff/2FGzduZHns//73P8THx6N69eoYPnw4IiIiTBLDiRMnAADlypVL87WyZcsCAI4fP26S17IH1tBWMnPw4EG0a9cOnTp1wssvv4xLly5h2LBhyJ8/f5bnsq2QgZOTrCAEAD//rDYWU2FCZwLLl8v2rbfYO2RJUVEpPaLvvw+0b2/Z179//z42btyIJUuWYPr06Th48GC6x61duxYnT560bHDPOHv2LG7evIkGDRpkeMxXX32FgIAA1KxZE4cOHUp+PikpCa1bt0a1atUQGxub5rwGDRrAyckJGzduzDIOLy8vTJ8+HadPn4aTkxNq1qyJIUOG4Nq1azn7wQAkJCQgLCwMAFC4cOE0Xy9SpAgAIDIyMsevYQpsK8a1lfTs2bMH//d//4fu3bujQ4cOuHjxIj744APky5cvW+frpa2Q5RgSuo0bgZgYtbGYAtOPXLpzJ6W71lCBmsxP02RptYgIwNcX+PZby8dw7do17Nu3DxMmTMDHH3+cbo/T6dOn0blzZ6VlG44dOwYAqF27drpfDwoKQlxcHI4cOYKqVati2LBhyV97/PgxDh06hHPnzqXbc+Hq6oratWsbVSvS09MTU6dOxZkzZ1CwYEH4+/tj4MCBuHr1qjE/FgDgwYMHSExMRJ48eeDk5JTm6y4uLgAkoVKJbSVnbQWQnt3mzZujX79+6NGjBy5cuID33nsPefPmNer76KWtkOX4+wPVqgFPnwJr16qOJveY0OXSmjVSxLZWLcDPT3U09mPpUqn07eQkg1qzcbfF5GrUqIEpU6bgP//5DxwcHNCsWbM0x6xYsQKapuH11183WxwxMTH4/vvv8fXXX2PChAlISEhI9fXLly/DwcEh3V4JAFi4cCG++OILAMD58+fh8EzxvoIFC2LevHkAUt7wnuft7Y1Tp04ZHXexYsUwadIknDt3DsWLF0dAQAD69euHS5cuZft7PHr0CADSfYMGZLA7AERHRxsdnymxrQhj2sqWLVvQqFEjDBkyBP3798fZs2fRt2/fDH/XWdFLWyHLcXAAuneX/RUr1MZiCkzocmnlStkaGgWZ35UrwJAhsj9+PFCnjrpYNE3Dvn37UKtWreRbNgaxsbFYunQp6tWrhxdffNEsrx8aGopvvvkGvXv3xtixY+Hl5YVPP/001TG3bt1CwYIF4ZjOeIATJ06gfv36cHJywtmzZ3Hy5Em89twixN26dYOnpycqV66cbgyFCxfO1W3TIkWKYOLEibhw4QLKli2Lhg0bonfv3jh37lyW56b3Mz3r8ePH2TrOEthWst9WmjRpgl69euGjjz7CP//8g549eyYnXDmlp7ZClmN4796+XYbx6Blbbi5ERgK7dsn+G28oDcVuJCYCvXvLJJTGjYFRo9TGc+LECdy9excvvfRSmq/NmzcP165dw4wZM8zy2omJiViwYAG+/vrr5B6VkiVLYstzU7YeP34Md3f3dL9HrVq1MH78eACyZqejoyN69eqV6hhN01CzZk0UyKAeT5EiRUzSq1GoUCGMGzcOFy9eRNWqVdG0aVN079490x47Nze3TL+noVemYMGCuY4vt9hWst9Whg8fDi8vL8ycORNbt27N8vjs0FNbIcupXFluvSYmyh03PWNClwtr1gBJSUBAgCw1ReY3fTqwbx9QsKDMTMrlh/Zc2/VvRt+8efNUz4eHh2P8+PEYNGgQGptp6vPChQvRt2/fVD0XISEhaWbwOTs7IykpKcvvt3z5cjRs2BAlS5ZM9fyJEyfwwgsvZHhegQIF8PTpUyOjz5i7uzvef/999OzZE0FBQdi2bVuGx7q5ucHDwwPxGRSSMvS6eHt7myy+nGJbyX5bef3113Hy5El8/PHHGDNmDF544YVclxPRU1shy+rWTbaG8mN6ZdUJXWBgIPz8/BAQEKA6lHT99pts2TtnGSEhwGefyf6MGdaRRO/cuROOjo5o2rRp8nPx8fF46623UKdOnTQ9Lvv27cO4cePw6aef4tdc/vWIiIhAxYoVUz23YsUKDBgwINVzHh4eyW9WGTlz5gzCwsLQqlWrNF9bsWJFpvW9nj59mq2SEdlx584djB07FlWrVsWTJ09w8eJFDBw4MNNz/Pz8kJSUhLt376b5mmHGYka3AC2JbcW4tuLg4IBOnTrh77//xmeffYYJEyagTp06WLt2LTRNy9b3eJ5e2gpZVpcust25U9+3Xa06oRs8eDBCQkKMnhVlCbdvA7t3y76hMZD5xMdLiZK4OOCVV4B33lEdkZRp2LNnD/z9/ZOLsMbFxaFLly4oWLAg1qxZA2dn5+TjP/vsMyxevBhffPEFJk+ejJkzZ2LFvyNxly5diidPnmT7tS9fvowyZcoAkEXUx40bh9dffx1NmjRBp06dUh1btmxZREdHZ9ozcubMGQBA1apVUz3/8OFDnDp1Krnoanqio6NRokSJbMeenlu3bmHkyJHw9fXFgwcPEBwcjNmzZyfXBsuMYczZ6dOn03zNsOD6s0lUZkaNAl59FRg0SHqAb9404ofIBNuKyGlbad++PQ4fPoxvvvkG06ZNQ61atbB69eps9SY+y5RthWxHxYopt13Xr1cdTc5ZdUJnzdavl9utdetKQWEyr0mTgKNHgUKFgPnzZXaSasHBwbh//37ymKjQ0FC0atUKVapUwe+//55qLNLPP/+M5cuXIzAwEHny5IGjoyN69OiBb775BoDU/3J1dc32a+/bty/59lxMTAw0TUNiYmK6A879/p1+HRoamuH3M9Tyen6c0fjx49MMnH/etWvXUKFChWzH/qzIyEgMHz4c1atXR3x8PE6ePImZM2eilBEVog09Qps3b07ztY0bN8LZ2RkdO3bM1ve6dAmoWlUm27RsCfz5Z7bDyBTbishNWwGANm3a4K+//sJ3332H2bNno0aNGli+fDkSExOzdb4p2wrZFkPHclCQ2jhyxXxLypqOMYvTWkrbtrKw79dfq47E9gUHa5qTk1zvZctUR5Ni2rRpGgBtyZIl2sSJE7X27dunuzh4QkKCVrp0aW3q1Kmpnt+4caPm4OCgnTt3TluwYIFRrz169GgtKSkp1XN3797VAGgXL15M9fzDhw81JycnbdWqVRl+vzt37mjFixfX+vfvn/xcYGCgNmzYsCxj8fHx0UaPHm1U/NeuXdOGDBmiFS9eXPv000+1W7duGXX+81q2bKkVLlxYi4qKSn5u3759GgBt7NixOf6+Dx9KuwM0bfXqnMfHtiJy0lYys2fPHu3ll1/WqlSpoi1ZskSLj4/P8hxztRXSt5AQ+X/u7Kxp9++rjiaFMfkPe+hy4MED4H//k31+mDOvuDjg7bel1l+nTtZVvPnQoUMoW7YsTpw4gWbNmmHDhg2oX79+usddu3YNr7zySqrnCxYsCE3TMHPmTPTs2dOo105KSkpVA8zwHCC32J5VoEABNG3aNNNFx4sUKYItW7YgNDQUDRs2RJMmTXD//n1MmzYt0zju3buHK1euZPs2VVhYGAYNGgR/f3+4ubnhzJkzmDJlCooXL56t8zOydOlSlCtXDi+//DJWrVqFxYsXo2vXrujQoQM+//xzo77XvXvpP5+bFaHYVoxvK9nRpEkTbNu2DT/99BNWrVqFL7/8MstzTNlWyHb4+krvfHw8kE4Hri7krEKjnduyRRKNypWlEZD5TJkCnDgBFC0KzJ5tHbdaDVavXp2t48LCwuDk5ATfDBpLixYtsr18ESDjkNIrC3HhwgUASPd2Zffu3fH1119j5syZad7cDerUqWN0iYitW7fCw8MDLVq0yPLY999/H0FBQRg0aBDOnTuXYfHanChZsiSOHTuG7du3459//oGmafj111+NnjXarZvMdPP1Bfr2Bdq0SflabsbTsa0Y11aM1aBBg3Rvo6bHVG2FbE/HjvKes3GjPmvLMqHLAcNShK+9Zl0Jhq05fRqYOFH2f/gByOW4e2W8vb3h4uKS5s3RUI+rZcuWRn2/gwcPwtPTM83z69atQ+XKlZPHQT2rZ8+eGDt2LHbt2pVuHbScCgoKQq9evbK1DFPz5s0xefLkDOuc5ZajoyNatWqV7uzL7PL1Ba5dA/74Q1YgebbOYS6GfmUb24plmKKtkO3p0EESus2bpafumXlKusBbrkZKTEzpjrX0YvD2JDER6N9f/lO9+irw5puqI8q5xo0bo1KlStizZw8AKVWxZMkSXLhwAfnz50dkZCR+/PHH5OMXLlyIMmXKICqD+fMHDx5EeHh4quceP36Mn3/+OXng/PPy5cuH8ePHY/LkySb6qYAbN25g8+bNGD58eLaOf+ONN8yWzJlK5crA1q3S3nbuBP5dyx0A8NFH5n99thUiderXB4oVA6Kjgb/+Uh2N8ZjQGenQIeDOHZlt2aiR6mhs18yZwMGDgLu79d1qNZaTkxO2bduGLVu2YOLEiZg2bRoaNGiAESNG4JdffsHs2bNRrVq15OOTkpLw9OlTHDx4MN3vZ7iNZijnExcXhwEDBqB///7okkkNnffeew+PHj3KdYFWgwkTJuDDDz+EjzUUBDSRt96SFUh++UX+7eFh2ddnWyFSJ08eoF072TdR07esnMy6CAwM1MqXL6+5uLhoderU0fbs2ZPhsTt37tQApHmcOXMm269nTbNcx46VmTDduqmOxHZduqRprq5ynefPVx2NGvfv39eCgoLSPJ+QkJA8a3H+/Pna2LFjtREjRmg7duzI1veNiIjQ6tWrp12/fj1X8e3du1d74YUXtCdPnuTq+1i7Z2e5PnyoOpr0sa0Qmc6qVfL/3ddXdSTCmPzH6IRu5cqVmrOzs7ZgwQItJCRE++ijj7QCBQpooaGh6R5vSOjOnTunRUREJD8SEhKy/ZrWlNDVqSO/7J9+Uh2JbUpK0rRWreQaN28u/7ZHGzZs0K5evZrm+eDgYG11bupnaJp2+fJlrWvXrjk+Pzw8XHvppZe08PDwXMWhytOnmnbunKYdOKBpJ05o2qNHGR+rh4SObYXIdO7d07Q8eeT/fDr/rSzOrGVLpk+fjn79+qF///7w9fXFjBkzUKZMGcyZMyfT8zw9PeHl5ZX8yKN6Ec4cuHkT+Ptv2W/dWm0stmrlShnD5OICzJun71utORUfH4/jx4+nWWcTAPbv35/rsg8+Pj7ZnnWZnpMnT2LFihUoXbp0ruKwpKQkaVsvvyzDJXx95daqv7/cVn3xRWDRIhm7qSdsK0SmVagQ0LCh7P/xh9JQjGZUQhcXF4djx46lmRnUqlUr7N+/P9Nz/f394e3tjZYtW2Lnzp2ZHhsbG4uYmJhUD2tgmKXv76/fGZfW7P59YNgw2R87FqhSRWk4yoSFheHdd99N92uFCxfO9TJbudWuXTvlMRgjOBioVUvGx+3YAcTGGvrc5JGYCOzfDwwYAAQEyPF6wbZCZHqGDhtTrRRjKUaVLYmKikJiYmKa/6AlSpRIXtj4ed7e3pg/fz7q1q2L2NhY/Pzzz2jZsiV27dqV4afHSZMmZatApKUZEjr2zpnHmDHSC1q1KpDFCkI27flF1J/VXY/FkRTavl3KC8XFAU2byjrANWsCXl5AwYLA48eyLvOpUzJ7fccOmez0xx9A8+aqo88a2wqR6bVuDXz+uSwgoKfyJQ6apmnZPfjGjRsoVaoU9u/fj4aGPkkAX3/9NX7++WecPXs2W9+nffv2cHBwwIYNG9L9emxsLGJjY5P/HRMTgzJlyiA6OlpZ2QNNA7y9JeHYsQMwYXkmgswebthQrjOvL5nCpUuSvDVoILOmq1eX57/8MvWt/C++SH3OkCHSY3fwIFCmjCR+APDwIZBOjV4isjFJSUDx4sDdu1K+RGVFi5iYGHh4eGQr/zHqlmuxYsWQJ0+eNL1xt27dMqpbvUGDBsmVytPj4uICd3f3VA/V/vlHkrn8+VmuxNQSE4FBgySZ692byRyZxocfyoLb27alJHOAVIPv0AEYPx6YNCn1ORUrAps2AV26AB98YMloichaODoChhre27apjcUYRiV0efPmRd26dbHtuZ9w27ZtaGRElhMcHAxvb29jXlo5w9qtTZrIgH0ynTlzZNxSoULAt9+qjoZsQVgYcOEC8OOP8sf5WbVqyQNIf9KNg4O0yWvXgIsXzR8rEVkfQ0JneO/XA6OX/ho+fDh69eqFevXqoWHDhpg/fz7CwsIwcOBAAMDo0aNx/fp1LF26FAAwY8YMlC9fHtWrV0dcXByWLVuGoKAgBAUFmfYnMbMdO2RrhmUI7drt28Bnn8n+N98A6axSRGS0PXuA994DcrrKlLOznJ/FXC8islGGhO7gQeDRI30MtzA6oevWrRvu3LmDCRMmICIiAjVq1MDmzZuTp81HREQg7Jn1cuLi4jBixAhcv34drq6uqF69OjZt2oR2hnLMOpCYKG8QAG8HmtrYsbLMir8/kMFkPSKj3bgh4+dyw89P/pgTkf2pWFHG0IaHAwcOSMkja2fUpAhVjBkUaA5//w3UrSvLUN25AzgZnQZTeoKD5bpqGrB3r9QCIzKF+fNlvGvPnhkf4+gI5MsnM13Ts3Kl/DE3zLjmpAgi+9K7N/Dzz9Lx8NVXamIw26QIe2XonXvxRSZzpqJpMptQ02QhdCZzZEo1agC//pq777F6tXwfIrJPzZrJ1pADWDsmdNmwd69smzRRG4ctWbVKpoPnz8+JEGR6jRrJzPS1a3N2/vr1UkqncWPTxkVE+mF4zz90CHj6VG0s2cGELguaBuzbJ/tM6EzjyZOU21ijRwNcFYjMYdIkWR1i8eLUz7dvL49SpaTW1POWLpVe4wkTAB2uUEhEJlK5skzUi4sDjh5VHU3WmNBl4eJF4NYtKVVSr57qaGzD99/L2KQyZYCPP1YdDdmqN94AevUC+veXotXLlskY2I0b5REeDoSGyrH37wPr1kmPXN++8ujXT2X0RKSag0PKcKC//lIbS3ZwRFgWDGUL6tVj/TlTiIpKKeb69deAq6vaeMi2zZsnk5mmTwcOH5bnvLyAkiXldv/jx8C9e8DVq9IbD8jYzhkzVEVMRNakcWNgzRomdDbhwAHZPrPSGeXC118DMTFA7dpyO4zI3L79VlaHGD9eioRGRMjjefXrA//9L8fNEVEKw3v/wYPyoS+9YuTWggldFpjQmc6VK8Ds2bI/ZUraCv5E5tK4sSzhExYmSd25c7JOY/78QJUqUjC8WjXVURKRtalTRwqU374NXL4s9emslVUndIGBgQgMDERiYqKS13/4UGbKAbLAN+XOF1/I4NKXXwZatVIdDdmjsmVlfBwRUXa4uEjh+0OH5GHNCZ1V95EMHjwYISEhOHLkiJLXP3YMSEqSWZglSyoJwWacPAn88ovsT5miNhYiIqLsql9ftocOqY0jK1ad0KlmyCMNv0zKuc8/l/EHb7whXdhERER6YMgBFPUtZRsTukwY6s4EBKiNQ++OHgU2bJAxc19+qToaIiKi7DPkAMHBQEKC2lgyw4QuE4aErm5dtXHonSGJ69mTA8+JiEhfKlcG3NxktYgzZ1RHkzEmdBm4fx+4dEn2eYsw5/7+G/j9d+md++wz1dEQEREZx9ExJQ84dkxtLJlhQpeB48dlW7YsULSo0lB07auvZNu9u3zKISIi0ht/f9kGB6uNIzNM6DJgSOgMv0Qy3qlTsji6gwMwZozqaIiIiHLG0EPHhE6HTpyQbe3aSsPQtW++kW2XLoCfn9pYiIiIcqpWLdmePJmyTKC1YUKXgZMnZVuzpto49OryZWD1atln7xwREelZtWqAszMQHS0rzlgjJnTpSEwEQkJk/z//URuLXk2fLkWZW7dmLycREelb3rxA1aqyf+qU2lgywoQuHZcuyfRkV1egQgXV0ejP3bvA4sWy/+mnamMhIiIyBUMHj2FJUGvDhC4dht45X18gTx61sejRggXA48cy5uCll1RHQ0RElHvVq8v29Gm1cWSECV06DAkdB/IbLyEBCAyU/aFDZYYrERGR3hlyAmstLmzVCV1gYCD8/PwQYOG1twy/LF9fi76sTdi4EQgPB4oVA958U3U0REREpmHICc6elTHi1saqE7rBgwcjJCQERyy8Iu7Zs7LlMlXGmzVLtgMGAPnyqY2FiIjIVCpWBJycgEePgOvXVUeTllUndCpoGnD+vOwbZrRQ9pw5A+zYIcukDByoOhoiIiLTcXaWpA4Azp1TG0t6mNA959YtICZGxn5VqqQ6Gn2ZP1+2r74qS6YRERHZkipVZHvhgto40sOE7jmGX1LZsoCLi9pY9CQ2Fli6VPbfe09tLEREROZgWJPccCfPmjChe87Fi7LlQvLGWb9e6s+VLi3FhImIiGyN4c7dpUtq40gPE7rnGH5JhvvklD1Llsi2Tx/W7iMiIttkyA0MnT/WhAndcy5fli0Tuuy7eRPYulX2e/dWGwsREZG5GHKDK1dkEqU1YUL3nCtXZOvjozYOPVm9Wta/rV8/ZcAoERGRrSlbVio5PH0KREaqjiY1JnTPuXpVtuXLq4xCX1atkm337mrjICIiMidnZ6BUKdk35AvWggndM2JjgYgI2S9XTm0senH9OvDXX7LftavaWIiIiMzNkB+EhamN43lM6J5x7ZpsXV1l6SrK2m+/yfbFF1M+tRAREdkqQ0IXGqo2jucxoXtGeLhsy5ThovLZtWaNbLt0URsHERGRJZQpI1tDJ5C1YEL3DMMvp3RptXHoxe3bwL59st+xo9JQiIiILMKQ0Bk6gayFVSd0gYGB8PPzQ0BAgEVejwmdcf74A0hKAmrX5phDIiKyD4bhRTduqI3jeVad0A0ePBghISE4cuSIRV7P8MspWdIiL6d7mzfL9pVX1MZBRERkKYaE7vp1tXE8z6oTOkszzHBlQpe1xMSUYsJt26qNhYiIyFK8vWV786bcpbIWTOieYUjovLzUxqEHf/8N3LsHuLsDL7ygOhoiIiLLKFFCJk4mJABRUaqjScGE7hk3b8qWCV3WduyQbfPmgJOT0lCIiIgsxskJKFpU9m/dUhvLs5jQPcOQ0Hl6qo1DD3bvlm3z5krDICIisjhDnmDIG6wBE7p/xcYCDx7IfvHiamOxdklJwP79st+0qdpYiIiILM2QJ9y+rTaOZzGh+5fhPniePEChQkpDsXpnzgDR0UCBAkCtWqqjISIisiwmdFbszh3ZFi0KOPKqZOrgQdnWq8fxc0REZH8MY+ju3lUbx7OYuvzL8EspUkRtHHpw9KhsLVTvmYiIyKoYEjpDZ5A1YEL3L0NCV7iw2jj0IDhYtnXqqI2DiIhIBUOucO+e2jiexYTuX/fvy5bj5zKXmAicOiX7TOiIiMgeGXIFQ+5gDZjQ/SsmRrYeHmrjsHaXLwOPHwOurkClSqqjISIisjwmdFaMCV32nD4tW19fmRFMRERkb9zdZWsod2YNrDqhCwwMhJ+fHwIsMPrekNC5uZn9pXTt7FnZ+vqqjYOIiEgVQ0JnyB2sgVUndIMHD0ZISAiOHDli9td6+FC2TOgyd/GibKtUURsHERGRKgULytaQO1gDq07oLOnRI9kWKKA2Dmt36ZJsK1RQGwcREZEqhlyBCZ0VevxYtkzoMhcWJtvy5ZWGQUREpEz+/LJ98gTQNLWxGDCh+5choXN1VRuHNdM04No12S9TRm0sREREqhgSOkCSOmvAhO5fT5/Klgldxu7eBeLiZN/LS20sREREqjybK8TGqovjWUzo/mVI6Fxc1MZhzW7dkm3hwrxORERkv5ycUtZ9Zw+dlTFk2ExUMhYVJVvDGnZERET2Km9e2RruXKnGhO5f8fGydXZWG4c1M1TE5nq3RERk72wioZs9ezZ8fHyQL18+1K1bF3v37s30+N27d6Nu3brIly8fKlSogLlz5+YoWHNiQpc1rqZBREQkDPlCQoLaOAyMTuhWrVqFoUOHYuzYsQgODkaTJk3Qtm1bhBnqWTznypUraNeuHZo0aYLg4GCMGTMGH374IYKCgnIdvCklJsqWy1llzFCr79nZPURERPbIkC8Y8gfVjE7opk+fjn79+qF///7w9fXFjBkzUKZMGcyZMyfd4+fOnYuyZctixowZ8PX1Rf/+/fHOO+9g2rRpuQ7elEqVAsqV4yzXzBgmjuTLpzYOIiIi1cqVA3x8rKcjyMmYg+Pi4nDs2DGMGjUq1fOtWrXC/v370z3nwIEDaNWqVarnWrdujYULFyI+Ph7OVnKPc9cu1RFYP8NtacO4ASIiInt1+LDqCFIzKqGLiopCYmIiSpQoker5EiVKIDIyMt1zIiMj0z0+ISEBUVFR8Pb2TnNObGwsYp8p7BJjTavf2rGyZYGWLYHq1VVHQkRERM8yKqEzcHBwSPVvTdPSPJfV8ek9bzBp0iR8+eWXOQmNzKhrV3kQ2YsCBaxnWR8ioswYNYauWLFiyJMnT5reuFu3bqXphTPw8vJK93gnJycUzaCg2ejRoxEdHZ38CA8PNyZMIiIiIrtiVEKXN29e1K1bF9u2bUv1/LZt29CoUaN0z2nYsGGa47du3Yp69eplOH7OxcUF7u7uqR5ERERElD6jZ7kOHz4cP/74IxYtWoQzZ85g2LBhCAsLw8CBAwFI71rv3r2Tjx84cCBCQ0MxfPhwnDlzBosWLcLChQsxYsQI0/0URERERHbM6DF03bp1w507dzBhwgRERESgRo0a2Lx5M8qVKwcAiIiISFWTzsfHB5s3b8awYcMQGBiIkiVLYubMmejcuXO2X9Mw5o6TI4iIiMheGPIeLRuDeR207Byl2LVr11CmTBnVYRARERFZXHh4OEqXLp3pMbpI6JKSknDjxg24ubllOpsWkGy2TJkyCA8PN3rsXUBAAI4cOWJ0fJY8Lyfn2Po1yel5Ob0uevjZcnqeXtoKr4na83hN0mfp68Jros/zjLkmmqbhwYMHKFmyJBwdMx8ll6OyJZbm6OiYZWb6vJxMpsiTJ0+OJmBY8rycvhZgu9ckN+cBxl8XvfxsttxWeE2s4zxek/RZ6rrwmuj7vOxeE49sLqBu9KQIWzZ48GCrPy+nr5VTergmuTnPkq+ll/NySg//D2z5mqg4z5KvpZfzckoP/w/0cE30dJ6p6eKWqzFiYmLg4eGB6Oholjv5F69J+nhd0uI1SYvXJC1ek/TxuqTFa5KWua6JzfXQubi4YNy4cXBxcVEditXgNUkfr0tavCZp8ZqkxWuSPl6XtHhN0jLXNbG5HjoiIiIie2NzPXRERERE9oYJHREREZHOMaEjIiIi0jkmdEREREQ6p/uE7urVq+jXrx98fHzg6uqKihUrYty4cYiLi8v0PE3TMH78eJQsWRKurq5o3rw5Tp8+baGoze/rr79Go0aNkD9/fhQqVChb57z99ttwcHBI9WjQoIF5A7WgnFwTW28n9+7dQ69eveDh4QEPDw/06tUL9+/fz/QcW2wns2fPho+PD/Lly4e6deti7969mR6/e/du1K1bF/ny5UOFChUwd+5cC0VqOcZck127dqVpEw4ODjh79qwFIzavPXv2oH379ihZsiQcHBywbt26LM+xh3Zi7HWx9bYyadIkBAQEwM3NDZ6enujYsSPOnTuX5XmmaCu6T+jOnj2LpKQkzJs3D6dPn8Z3332HuXPnYsyYMZmeN3XqVEyfPh2zZs3CkSNH4OXlhf/7v//DgwcPLBS5ecXFxaFr164YNGiQUee1adMGERERyY/NmzebKULLy8k1sfV20qNHDxw/fhxbtmzBli1bcPz4cfTq1SvL82ypnaxatQpDhw7F2LFjERwcjCZNmqBt27YICwtL9/grV66gXbt2aNKkCYKDgzFmzBh8+OGHCAoKsnDk5mPsNTE4d+5cqnZRuXJlC0Vsfo8ePUKtWrUwa9asbB1vD+0EMP66GNhqW9m9ezcGDx6MgwcPYtu2bUhISECrVq3w6NGjDM8xWVvRbNDUqVM1Hx+fDL+elJSkeXl5aZMnT05+7unTp5qHh4c2d+5cS4RoMYsXL9Y8PDyydWyfPn20Dh06mDUea5Dda2Lr7SQkJEQDoB08eDD5uQMHDmgAtLNnz2Z4nq21k/r162sDBw5M9Vy1atW0UaNGpXv8p59+qlWrVi3Vc++9957WoEEDs8VoacZek507d2oAtHv37lkgOvUAaGvXrs30GHtoJ8/LznWxt7Zy69YtDYC2e/fuDI8xVVvRfQ9deqKjo1GkSJEMv37lyhVERkaiVatWyc+5uLigWbNm2L9/vyVCtFq7du2Cp6cnqlSpggEDBuDWrVuqQ1LG1tvJgQMH4OHhgRdeeCH5uQYNGsDDwyPLn89W2klcXByOHTuW6ncMAK1atcrwGhw4cCDN8a1bt8bRo0cRHx9vtlgtJSfXxMDf3x/e3t5o2bIldu7cac4wrZ6tt5Pcspe2Eh0dDQCZ5iSmais2l9BdunQJP/zwAwYOHJjhMZGRkQCAEiVKpHq+RIkSyV+zR23btsUvv/yCHTt24L///S+OHDmCFi1aIDY2VnVoSth6O4mMjISnp2ea5z09PTP9+WypnURFRSExMdGo33FkZGS6xyckJCAqKspssVpKTq6Jt7c35s+fj6CgIKxZswZVq1ZFy5YtsWfPHkuEbJVsvZ3klD21FU3TMHz4cLz44ouoUaNGhseZqq1YbUI3fvz4dAdOPvs4evRoqnNu3LiBNm3aoGvXrujfv3+Wr+Hg4JDq35qmpXnOmuTkmhijW7dueOWVV1CjRg20b98ef/zxB86fP49NmzaZ8KcwLXNfE8C220l6P0dWP58e20lWjP0dp3d8es/rmTHXpGrVqhgwYADq1KmDhg0bYvbs2XjllVcwbdo0S4RqteyhnRjLntrKBx98gJMnT2LFihVZHmuKtuJkXHiW88EHH+DNN9/M9Jjy5csn79+4cQMvvfQSGjZsiPnz52d6npeXFwDJir29vZOfv3XrVpos2ZoYe01yy9vbG+XKlcOFCxdM9j1NzZzXxNbbycmTJ3Hz5s00X7t9+7ZRP58e2klGihUrhjx58qTpecrsd+zl5ZXu8U5OTihatKjZYrWUnFyT9DRo0ADLli0zdXi6YevtxJRssa0MGTIEGzZswJ49e1C6dOlMjzVVW7HahK5YsWIoVqxYto69fv06XnrpJdStWxeLFy+Go2PmHY8+Pj7w8vLCtm3b4O/vD0DGjezevRtTpkzJdezmYsw1MYU7d+4gPDw8VTJjbcx5TWy9nTRs2BDR0dE4fPgw6tevDwA4dOgQoqOj0ahRo2y/nh7aSUby5s2LunXrYtu2bXj99deTn9+2bRs6dOiQ7jkNGzbExo0bUz23detW1KtXD87OzmaN1xJyck3SExwcrMs2YSq23k5MyZbaiqZpGDJkCNauXYtdu3bBx8cny3NM1laMmkJhha5fv65VqlRJa9GihXbt2jUtIiIi+fGsqlWramvWrEn+9+TJkzUPDw9tzZo12qlTp7Tu3btr3t7eWkxMjKV/BLMIDQ3VgoODtS+//FIrWLCgFhwcrAUHB2sPHjxIPubZa/LgwQPt448/1vbv369duXJF27lzp9awYUOtVKlSdntNNM3220mbNm20mjVragcOHNAOHDig/ec//9FeffXVVMfYejtZuXKl5uzsrC1cuFALCQnRhg4dqhUoUEC7evWqpmmaNmrUKK1Xr17Jx1++fFnLnz+/NmzYMC0kJERbuHCh5uzsrP3222+qfgSTM/aafPfdd9ratWu18+fPa//88482atQoDYAWFBSk6kcwuQcPHiT/zQCgTZ8+XQsODtZCQ0M1TbPPdqJpxl8XW28rgwYN0jw8PLRdu3alykceP36cfIy52oruE7rFixdrANJ9PAuAtnjx4uR/JyUlaePGjdO8vLw0FxcXrWnTptqpU6csHL359OnTJ91rsnPnzuRjnr0mjx8/1lq1aqUVL15cc3Z21sqWLav16dNHCwsLU/MDmIGx10TTbL+d3LlzR3vrrbc0Nzc3zc3NTXvrrbfSlBOwh3YSGBiolStXTsubN69Wp06dVCUG+vTpozVr1izV8bt27dL8/f21vHnzauXLl9fmzJlj4YjNz5hrMmXKFK1ixYpavnz5tMKFC2svvviitmnTJgVRm4+h3Mbzjz59+miaZr/txNjrYuttJaN85Nn3FXO1FYd/AyAiIiIinbLaWa5ERERElD1M6IiIiIh0jgkdERERkc4xoSMiIiLSOSZ0RERERDrHhI6IiIhI55jQEREREekcEzoiIiIinWNCR0RERKRzTOiIiIiIdI4JHREREZHOMaEjIiIi0rn/B/3SwUq5QQb6AAAAAElFTkSuQmCC\n",
       "text/plain": [
-       "Graphics object consisting of 3 graphics primitives"
+       "Graphics object consisting of 6 graphics primitives"
       ]
      },
-     "execution_count": 35,
+     "execution_count": 8,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -214,7 +252,7 @@
  ],
  "metadata": {
   "kernelspec": {
-   "display_name": "SageMath 9.0",
+   "display_name": "SageMath 10.1",
    "language": "sage",
    "name": "sagemath"
   },
@@ -228,7 +266,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.10.8"
+   "version": "3.11.7"
   }
  },
  "nbformat": 4,