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@davidlowryduda
Created July 22, 2022 22:48
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{
"cells": [
{
"cell_type": "markdown",
"id": "78a17ef8",
"metadata": {},
"source": [
"# On visualizing number fields #\n",
"\n",
"In a group with Kate Stange, Ian Whitehead, Hanson Smith, Caleb Springer, and a few others, I explored a few different ways to visualize number fields. We are hoping to come up with something that would be appropriate as images for the LMFDB --- which currently doesn't have number field portraits.\n",
"\n",
"In this note, I summarize some of the ideas that we discussed and give examples. This also includes implementations in sage. This note is also available as a jupyter notebook independently on [my website](https://davidlowryduda.com)."
]
},
{
"cell_type": "markdown",
"id": "6eef3010",
"metadata": {},
"source": [
"## Broad ideas and challenges ##\n",
"\n",
"Two natural sets of objects to try to visualize are collections of points in the number field, or collections of points in the ring of integers associated to the number field.\n",
"\n",
"- For the ring of integers, we might visualize\n",
" * just the basis elements,\n",
" * elements that are *small* combinations of basis elements, or\n",
" * elements that are a *power integral basis*, i.e. elements $\\alpha_i$ such that the ring of integers is given by the **ring** $\\mathbb{Z}[\\alpha_1, ..., \\alpha_n]$. If the ring of integers is monogenic, then there is a single $\\alpha_i$.\n",
"- For collections of points in the number field, we might visualize\n",
" * all points of height up to some bound, or\n",
" * random points.\n",
" \n",
"There is a difference between a number field and embeddings of that number field into the complex numbers. Although number fields have various embeddings into two-dimensional complex space, it is often more natural to consider a degree $n$ number field as living in a natural degree $n$ space spanned by the lattice of the ring of integers.\n",
"\n",
"The possible elements to visualize above are for subsets of elements of the number field. What do we do with the various embeddings?\n",
"\n",
"In many of the visualizations below, we use color to distinguish between the varied embeddings, and plot the same sets of points in different embeddings.\n",
"\n",
"Note that there are already sources of indeterminism:\n",
"\n",
"1. Which basis does one choose for the ring of integers?\n",
"2. How does one order the embeddings?\n",
"\n",
"\n",
"## Characteristics of visualizations ##\n",
"\n",
"Fundamentally, each visualization below are plots of sets of disks of certain sizes and colors. Thus for each visualization below, we specify \n",
"\n",
"- what disks are plotted,\n",
"- how we determine the sizes of each disk, and\n",
"- how we determine the color of each disk."
]
},
{
"cell_type": "markdown",
"id": "abf27947",
"metadata": {},
"source": [
"## Visualizing points of bounded height ##\n",
"\n",
"Given a number field $F$, compute all points of height below some fixed bound $B$ (for some choice of height function). This is cannonical and independent of the chosen basis.\n",
"\n",
"In this plot, we compute all embeddings $\\{ \\sigma_1, \\ldots, \\sigma_n \\}$ and fix an ordering of them. (Here we use whatever ordering sage uses). For each point $z$ in the number field of height up to $B$ and for each embedding $\\sigma_i$, we plot the point $\\sigma_i(z)$ with size inversely proportional to the height of $z$, and with color ranging from red (for the first embedding) to blue (for the last embedding)."
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "a3794920",
"metadata": {},
"outputs": [],
"source": [
"from sage.plot.colors import red, blue, white\n",
"\n",
"\n",
"def draw_fieldelts_bdd_height(F,bd):\n",
" embs = F.embeddings(CC)\n",
" pts = list(F.elements_of_bounded_height(bound=bd))\n",
" vis = Graphics()\n",
" for emb in embs:\n",
" pts_emb = [emb(pt) for pt in pts]\n",
" disk_sizer = lambda x : 0.02/(x.global_height())\n",
" for index in range(len(pts_emb)):\n",
" size = disk_sizer(pts[index])\n",
" if size > 0.0001:\n",
" vis += disk( (pts_emb[index].real(),pts_emb[index].imag()),\n",
" size, (0, 2*pi), alpha=1.0,\n",
" color=red.blend(blue, embs.index(emb)/len(embs))\n",
" )\n",
" return vis"
]
},
{
"cell_type": "markdown",
"id": "9bde264f",
"metadata": {},
"source": [
"This sort of plot is particularly pleasant for quadratic imaginary number fields, where the lattice structure is completely visible."
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "2841a001",
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"Graphics object consisting of 1520 graphics primitives"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"Fgauss.<a> = NumberField(x^2 + 1)\n",
"gauss = draw_fieldelts_bdd_height(Fgauss, 20)\n",
"gauss.show(axes=False)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "76524ed8",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"Graphics object consisting of 1440 graphics primitives"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"Feis.<a> = NumberField(x^2 + x + 1)\n",
"eis = draw_fieldelts_bdd_height(Feis, 20)\n",
"eis.show(axes=False)"
]
},
{
"cell_type": "markdown",
"id": "d2c2747d",
"metadata": {},
"source": [
"These plots reveal that points of low height *repel* each other. These plots are a bit less satisfying for real quadratic fields."
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "cff62792",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/davidlowryduda/sagebuild/sage/local/var/lib/sage/venv-python3.8/lib/python3.8/site-packages/matplotlib/patches.py:1189: RuntimeWarning: invalid value encountered in multiply\n",
" v *= self.r\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"Graphics object consisting of 982 graphics primitives"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"Frq.<a> = NumberField(x^2 - 2)\n",
"fig = draw_fieldelts_bdd_height(Frq, 20)\n",
"fig.set_axes_range(xmin=-5, xmax=5, ymin=-1, ymax=1) # it complains that ymin, ymax are both 0 otherwise.\n",
"fig.show(axes=False, fig_tight=False) # similarly, with fig_tight it has no height."
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "25855197",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"Graphics object consisting of 1980 graphics primitives"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"Fd3.<a> = NumberField(x^3 - x^2 + 2*x - 1)\n",
"fig = draw_fieldelts_bdd_height(Fd3, 20)\n",
"fig.set_axes_range(xmin=-3, xmax=3, ymin=-3, ymax=3)\n",
"fig.show(axes=False)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "73aefc03",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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UpuRYfbCMIZBrzTF39Dod1h72+drZ+DgXewxXRzUAUrS41CzzjNYvH6eabjxaYNs4KZ/e+CnY+Tjm+8zewwadTseN44/McRJuHPx3FFIqU9XJ8NpakolFWZtSlOa/jagYSglzZxsGrO9O1frmdPyiJjUmtC1tkUoEZ0Wa4bWjLA2JVErdbzpT3vdRIJ6eum3tcX+zWrHH+PxKf74ancC8xWZUG9H0qW1VaVnodLpij/VP9DodqrTsp7apPKIF/Ra3pc3oCgy8+mmxxyr3ZhWGt32AFGEC0ck3mEbftEcqlWImM6bMMFNon9TFa0WtCS2Z/kU6ferf59f1bpg7i4qhtBD3GESKxYPt17j84zGcqznTevm7SPMSjN1bf4U/P7iJXi9h7G/VqfJuE8M5yf6RyKzM8gWyvSh2d5zP9UMJJEscSVK4oJDqGD7RnhY/dC1SP5e+2c6ZuVfI1JlzXV2LNL01I96KYvDBYS9IclPSQ+NRZ6pwrFnO8FnQqvMc/mQfEgl0XNCNigOF+6zX6dg3cguRdzJ46+v6+PSq+1JkFHltEOMYRF4MKXeiWVB9Edq8jCoNOjnTbf/7JT5ORlgCByYexKepKw2+aFekc7UqNTPNZpCFJRdpzKPfgxw1a85VpGzTCoXqJ+58MIubrUaPlGAqEImnoZ8DuW2RKYuW7uHmnINEn39A87m9sfEuvjntSazvvIq/DngBYEUma27Xx76aW4mPI/LaIm4+i7wYHuzwMygFgMirD1/IOLPe2Mkf28vxxZcSAlddLNK5MqUCS6WGDKx5/LegQcH9fYWvdRy2L8CwZ2KJ0YTkrkwoslII+vss2788z8Xtsax/Y36Rzi0sN66qDa8zseLeDv8XMo7IvxtRMYgUmUpD30ApNT6AKncu3Oy7qCSlC55MeqQkhyYX+fx3T4ygUe0c5BhltSCLagPqFroP3wENkeXZ+N2IoSp36FU7mJ9ONHnGmflJf5DEIyWVnf5i0mq37Gy0yztJk6k+tOELGUfk341oShIpFHqdjrt/X8TCyYryPWqT6BfOtR8OUqa+B3W/7vxCxgxae5m/P7+JTwUJI08OK3Ym2VsLT7NuehBSCQz6rirenapya94xbLwcqPlx+wLP8Zt3gtTwNBp83IKIA/6cmnIUvV5Py6lti+0ooNNo2d76NxJD0njz5874Dn6jWP08iys/HiHiWjytvmmBU11Pwnb5kZuYge+wZoa9IJH/LOIeg0jJoM7I4QuPDdxILQ/A27WC+fjm6NIVqpg8PHuP5a3+RpUXV+FdQcrw+5NN2syquJRDIULQmJM0mT/O1Cn0nsSrxrras7h3S6hB4mSn5r3Ib1FYm5eyVCKliLjHUFzSQ+P52H4lA+RbuDQzf0GVfxt/1F9GL+lOlrdcUeDx05MOGJQCwI5bvkQdLbyd/lXi5Cc7DEoBICxER+T+W4b34fv8DUoBIFHnwPaPjr9UGUuKqKO3DUoBIDFVweVJBVf929ZyLj9Iv2Vjg9kvS7xS4/rMvcyWf8sC+29JC40vbXFeSUTFUAAnpx7jZmp5HmqdWTvn3x19mXAtnC3XK5Kit2PNGW+yolPytVFl5beHq9Jez8px2tz8Pv+qdOO1qDJy8x/PfT0Xy+oC/kfqLFW+zzKjU7h1JhW1XsHdazkkXAt7GeKVGmfnnCdHqyAxVcGVqXtKW5xXElExFEDVbr4oEH5AdWq9ng+FwuJQ3Q1PZSwAvhZRWLja5mvTcmo7PBWxhvdNXe6/tv7xb0ztYNhMBnB20FChXyPDe99+DajnYKw/bU423aY2eKkylhTle9WnrIvxWq2UKhpOzR/DYeFqi62F2tDGvrr7S5OxNHCvJURYS9BRvlvNUpbm1UTcY3gCsWeDSbobT/VRT4+s/TeQHZtK4IbrVB3S4InRptmxqZybeQwLezOaTH6ryK6arxJRR29zbc4xrN1saDa3b77khaqULI5M3EtKTDatv2hMuXZVS0nS50erUnPt+33kpmRTf1JnLJ9Q7CgnIZ17ay5ScUCjJ7b5NxG47DT2VV0p27xSaYvyshE3n0VebRL9ItDr9DjX93pqO61KTdDK87i19MW+WuFms4fHb2PBn3KUEg1ffGdN40lvlYTIXJ+5l4NTzqPTS2jxXjVaLRpUqPNS7sQQdTqEqsObPFOpJlwLQyKV4FT36fdFRKQYiIpB5NXl1Je7mT5HmKl/+0kGbef2fGLbxS5TeBgvQ4aG4fv64dG51lP7Vmfk0MPmODlYAOAuj2OtumRqKP+kmES2RkiMJ0PLV5mTUDwj7Xf4/gAmdHlAJlY0KXOfH+NGPbHtuYmbOPzbbQA6flGLN37qXSJyi4jkIXoliRRM6NarXJ60g8wCNppfFsfWPUSHDB0yjm5IeGK7zOgUHsYL8Qta5Pj/da6QIxi//xlacy5PLtgbpyicm7yPYE15UhD2YfQAumfPly7+eZ1MrITX8RUL3OB/hP+GAATZJfivu/XEdi+arOgUzk7aR8jW66Umg0jpISoGICM8kfV1fmRj/dlkxaaWtjgvlAO9/mRVnz3s++EG8z1/LjUPlDb9yiBFiwQdbd7Jn176EVbu9pRxFLyiZGipPurZQWEKa3M+GJaGklzkqPHSh7Nvhh/bW8194jmh264Tuu3JD8HlrVYwaYYl96iEH/WIw5kWwyoUKiag8eg6WJAFQEPHECzd7Z/Ytvo7VRFUjp4a/Wo8s+8XQcK1cIZ5HuPbHywZ1SeVLb3WloocL4vs2FT+qL+M3+ssJSNcrC4Ir6Ep6cGum+z/7jKe1a3purIvkhKI5Nzc5GduX8oEoHYrW3qdnPjcfZYEqpQs9ozegU6rp9uSHiWShnimdDIavdHGXa+9Iz0Of/jc/RaHuIuh6DRaQ6W3A2O2cP9aKh2/qotvP6MnkCZHTeCSU7i2rFQku/uvFpNIy1Ea1g4ytHyr/y5fu78aLGb9tcpIgEENgxh9eVy+Nl0k+8jGuEntaxHJkqwhhZYl0S+CyNMh1BzTDJm5MY4iZNNlLs8+hmt9d1ovGQrkVWaTy3BpUjpBdavb/83yo96G97aSdHbquj93vzkJ6ZwYsw6JTEKbpUNemYqFK1qvYNUpHwAGNA7hvYsjn7tPnU7HieF/k3A7niZT3sK7R93n7rOEKJQp6bVyLcmOS+Pjtx+Qpq8IV0Gds5FemwY+d79KK+MPVWn96pSJ/L3pOvbeFR6ad69v5NsHzx9tLJPo0Tym4uXmpfcVcGniY3h9YPQWZi9zBpzZ3z+W9Y3isclLzy03V1Djw6JlVwWQyyUmvwKppOC5zWk/W0CKHjh5zZaC7rJCoiH7sdOVsqLVeHCq64lTXU+Tz9JC41nXfxda5Ny9FoJev5o2S4eWuqeM0tx0sqWUqJ/QsmisbziX8DDhJsYFzGXonUkl0u/zYmEtf+x1yRhRjg5YxrnNQgxU8NtbmRjrg4XL6+Pt9VqZkuKvRpCmN/rZh9zKLJF+u+x6jyZvu/JGbzc6bh1TIn2WBMHhRiUVHGNVIn22+qg2EoSHmq2FipYL+pZIv49z4cutLHKezIF3/iz0OcFXjSa8TKx4eEkwcWXHpbLUYxqz5d+yp/MfBZ4bvu8mC50ms8xrOhnhiYbPW37d1HCtoKfJQJ8Cz29UKaXA148zamCWoS8FKoZ97Wo4lhGexHdeS/ncaTnh+wrOZrq+8yoGyLcw1WMp2XFCMaP4CyEmWWofXit8MOWWd9bypfNyTn25u9DnFJauf3SmkkUEIFzrhI+Kl6PqnyTGGIMHE8OzSqTPkqDv1gF82Dua99+OYuDOASXSZ+wtY1U9tV5O4vWIEun3ZfFamZL0Oh1fuqzkSmIFzMnhlyW2VB/drLTFemEcGreVn/60Q4+ETwYn0H1N/xLpN+1+HMn+UXh2rV3sxHRPIjMyiV885xlSVQ9e07FQyeLurb/CJ4PiyMKS2nYPmJswFKlcxoF3/uTidmNw3djj/XFrYxpXsMxrOpF5v7vGPVzovHO84djDs/e4t+4KHu2rUL5X/SeOf/VHIfVJg6+f7NYaut2P+0dCqTmolsH8BbCp5xoW7fIAoK1nMFPCTdcc0SeCGNzW+NB/v1cUfbYNRqfRstB5KompCmRoGbiuq6HgztMIWnuZ94YIkyIFKrZHNMLKw+GZ5xUFnUZL2F5/nGq6YVvRpUT6PDpkBWfWhiFBT5v3KtNq8eAS6fdV5O7S02wecxgdMlycNLwXN/1VSWD47zMlSaRSfoobTvDGa7jUr4pdFddnn/Qa89bi3jT6MBq9Xm9Svet5sa3oUmI/9n8iVcqQojfEFisKaZqrNLAh6xvHEXshjIp9hxgUlvwxezzokVnkr6Fs72lNZEQGAE41TL8TZZtXKpRp5mkK4RE+veoWGPHtXsMBduW99sz/45dbKJCiRYdwTUpz4a9ULmN83FRCN1/F5Y0Khf6fKKyVgKAYZGiRKktWuT+SzadnnRLts92aEdT/OhIkEhxqlNz3+VWk6uiWfNiyEonXwvDp3+hVUQqF5rVaMYi8fDIjk9jc+g9UWRq6bxyEW6sqzzzn1m9HuLbgPBU7V6LF/OdbmqszctjcdC5xoRnU7VeFNsvfzddGq1Jz6esdWLnZUvuLjs81XnG5Ouco6TEZtPyxa4EBbPtHbmbXpmyq+Kh4//yQ585wevTD7Vzen0inD3yp+0mbZ7aPORXEgv6nsbbU89HJ3iW+whB5bRAD3ESen71dF3Jln5CB0ruChOH3p5SyRMXjwOgtnNuXQscR7jSf2aVI516etAO/FX5U6lKRNkuHviAJXyw/VFzK4bysseO6RtB/z+t5HSLPjRjgJlI41Bk53N94CU1Ofu8TB18nw2sb18JvgOemZHFtxl6iDgeUiIxPI8k/ir/brmRNh79JvWdaZlSVkkXIlmvMXubM6Rhfpv2gIODPU4VKt5weGk/AkrPs/+E60TESTi4LIWTLVXJTTDdOU+/FsqvDfHa0nUeyf2SJXltBRB6+w6UZh1ClFH4D18XV+FMvUzG/27M2R03wxiuoM17PrLkiJYu4YviPo1Wp+d1+GmnZShxt1XyYOiNfm8uTd5Idn0Gz3/r9w+ZfMDqNlvn2U0jJVCJBR48fmlD3f0WbpT/i7KR9nFgXTeNOjnRY9E4B8msYYbOFCJWwt1DJIoK/soTZ8M6B6/ljgxNKVGRiDYAULU25gIUkh1Gn3sW1RcH7D7Fn7jG21V3S9TZ48wAfBC8pGRp0SGk6wIsO64XUFnMtJ5GWLex9WClVTEyfhkyZ/z6dGr+O+weCqTmoNo1mvl2s+3F51mG+/kaKDhlVrcL5I2VwoRwItDlqjn6yC+syFjT7Pv//4mO7ldxMK08liwgWpw0qcacEkVcGccUg8mySb0YaHmpJaQoyI/NHfjb6vietFg8ulFIAiD58m5RMoU89Um6uuFYs2SIO3mbKD2YceeDLD4sdubXwdL42kYfuGJQCwL1sT+IvPwBg+UZr1CjJxJoKZlE0d71PfdkNFGjQ6OUEb7z6xLEDNvqTrhdm1iqZJW6uOqzNctEiR4+USxuFMeIuhxruH0CmSknUodv5+1t4nOOL7xH+QM++H/yIPFiwW+uzOL4izLCJfTfTi8jDhSuYJDNX8Nbi3gUqhczIZG6mlQeE+5fo9+JXPSKvNqJi+I/j3NCH8r4yJOioXNsMK48np6coLC7NK2IuM5qlvFt7P6X1k0m8G2d4CALE303M18a1WQXsJGmG92VkiTjWEjxeypobYyNq+mYzI2YU3UeXRYMMpTnU+bzges8ATT5vSUXzSMzJYfhoGWNjpuPqa204bmkuxDQ41vLA7LFrVUjUuDSrmK+/lLuPm7gkpNyNzdemMNRubW947SJLxLX580dHW3k40KtWMDI0dPINpkzD4v2/RP49iIpBhGH3vmWKfjoDb3xd5HMPjt3KshYreHg+xPCZ0taSURdG0bBLGbp8U8eQ6qGo1BrfgtYewUjQ0cAxhObTOuRrY+ZoxZy17rQqF0xbz2B+2lbJkHLiu0NNaORwj5pmQTRqJwRGWlVw5QJNOJLTghuLLz5x7IDFp/HMCaYp53GpIOytuLWrToyZFzjYMfDQcEBwpx24rQ8enlCunJ7+a7tj7midr78G07rl5XzS4+Ghp/r7bYt1Tzot6cOMb7J4r0sECy40RGlrYTgWdz6YrS1+5dTYNUXu96Obozmib89X917PWt4iJYu4xyBSbI5+uJ0ZCwS3x/Jm0azIKVxtgqKizVGb5BcqLAELj7Pl/VN57/TUamHLqWs23MgS9hW6VA7mi8CCH4SrqswgNEhLLkqyLZ2oWV/B2jNe6PNWML//IaPWhJZFlkmToy60Sa6o/GI+iYxcwazV7oMqz+0qLPKvRNxjEHmxxAQaTTixuUYTVNzFUEK3+5XYOIVVCnf+OsX2VnO5MkWINkvyj3nsqIRbZ9JRZKViTjZ2kjS6flH9iX01/qI1Comau1TBL6sya874GJQCwMMAIVX4+Sn7Wd5qBQF/nS2UjCWpFB5sv0bcReNKLSvXKF9yoFjkXqT4iCsGkWKTHBDNt28cISLTgdEDM+mxdoChAI8OGb3r3ueD608uSlOSBMw/ypaPTvNoQtRqeHnemP02SyvNISlNgaVSRZbK6Dn0Wfb3z8zMq9PpGGW5gQe5QtU4L2UM4So3atk+YPa9dzj+1UHmrBQS/UnR8uvvcup82PrFXeRjbKg3m0C/HEBvKOhzdPByLqwPxcZKz9AL4//10cUixUIMcBN5+XztsoyL8cLmq5JcDupfTiTyxvqzuXvd6INftoyWcXFCiu2s2FT0Oj0bm80jI1FNux/aFjpb6435J1nyzQPKOqn57FwfJFIJFnk1kR+/VoA+9e/z/tWXowi/l0wxbMw/fq0iIs/g35cr6b9IckA0f3bZjkolYdTaNyn35qtdmL5GbTkXj+a9tjcmjru/8RKH3t+NXCmj5/Z3S7zWgGsDd+5eN5pVyvgaUxw/Km4/8sHUJ57/KGjtnzUC6nzYmgVPWAVU9JVw8TGLTcX6JZ9WOe5iKAt6HSVbJeW9P2rj278hAI72ehJShDZutZ1LfNySJurYXZYNPoZSqWfcoXewr+JW2iKJPAVxxfCK01+6iTi9kFzNmnS2JLd7ZQqcFIRep+PIBztIe5hNx7mdsfYS9h5+tZhEeo5gyvHwhFHhT35IFwedTse+rosIORtD2cq29Dr2AUpb433SabRc/O4QqdGZNP2ihUkCxi3dV/LnHsHs8l63KPrsHm44lhIYi9+cw1i721F/SleTwC9VWjZL31zHnSA5zZpLGLB3SIkUjnqcaZ5LORkppLJ4vDhQRngiZyduxbKsNc0XDHilk7TlpmTRx+EoGQhxIS6SODbqSqYGt0iREVcMrzsRh28blAJABjacm3qAtvPyRwAXh6C1l1n68S1srHR8eKAr9tWefxYnkUrpsDC/fLrH6tpo1UUrcvM4MSfucnLiTmzcrOm4baxhM1cqldJt//sAhGy9zvTK63EvB+POvovMXME0rxWcjvEFLHBYfoGFp2oYop537VOgQWF43efRWKcCWdFmNWq9cOz60muMiZ6GJkfN1ua/khKVRec/ejChdwP+iSYrl819NpIYo+aduS1xb1O5WNer1hh/xyqtUSlZeznRcevYYvX5JFLuRLOt0xJyMzV0mNe1UOnSC8O5qQfI4DHnBL0LEYdv49nhyZv/IqXLqzvNEKFsUx/MyTa8l6Ghat/aJdb/j6PucTmxAsfCfVnRZ2+J9VsQHWe3xcZchYO1mk5Liq/Y1nZcTaBfDlf2J7C368IC2ywY48e5hxXZcq0iJ7/ay/0t1/KUgkCy3p4dn54yvPctk2J87WIMijvz+S6DUgCIjpEQuuUKl77axt1rOcQ+lLJvzI6C5ey2nr/2e7HVryJfdyxe5DfA2CWNqW4dTgXzKCbOfrHmlz29VxIRDjGJCnaOKrkCQFX71kaGxvDenGzKNi24aJLIq4G4YniFUVpb8OVH2SyZn4oGGQN6ZuPW4snRukXh/vqLxOUaq+FlZ79YS2GtT9pT65Pnk12n0ZKlMn5lU8LSCmznZKeF5LzXvg7oClihPL6CmRL7PtW7rwSgz+4Jj7XRo0PCA8qTiRWuxKJTa7HzNdr0Le0Kdj+NCTc+CGNVjug02mLlH/LuVos/0msV+bzikJMDftQmBQcsczPpsf4KlQY2fO5+3Vr4MuHtc2zYaYEcLWM+VKK0tnj2iSKlhrjH8B9lruUkIrKduU8F5GjoWjWEkXe+KHI/YXtusfHTi1Sqa1Ui9befxe5OC7h2MAGlVEO/dT3IjM/h5NIgGnR3N+QByo5L4/An+3Cv7UzDr9sTtsuPiT1DSM4zZ5iRw9JD3nh0qPbUsSIP+jOl0yVCETbKJehYvtOZ8j1q4/fjfhJuxtD8t96GWr6XJ+8kePcdao9ujNLJlq+GRJKqs2FUxygGHchfR6KkOdxvCTF+D2nza3e8uhW9yM4v1Zaw564xqeDjCQlF/jWIewwiTyYrR4odadTHDwBtWsF6X52Vy7Ghf5MelUazH7ri/qbpw3RWfz8Cs3zZfw8qLjhF7Q9avVC5ux/4gPZxqShsLYm/FMr4AQ9Q48v2GzrmuZ+m1viWWLjY0mOdMer34YVQauFPPM6oUVDbNQ6lbRU+tluJf5on1awjmbS3KaBnc9fVJGfIcbTV0P/QSNxddYTmpTXSIyXqYiTle9Sm7tedTeS6s+gE+2b4AXDvw5OMOTmIzZldUaVlY+FSONfY5yFgwTFD8fmk/pv4JNNUMUQdC2TvN2dxKmdGz9V9kFvmr6yXmmr6zHiYY//C5BV5tSnVPYboY3cI2XS5NEX4z+JTw9SzqWb/GgW229biNy5siyHgYiZ/d1hLTlKGyXEzudbwWmkjeB2ps3IJWnHmhdUmsHCxQ26uIPpCBGqMWVzDL8YU2L7WJ29io8ylLPF4EknrLxrzS7fj3Ewrjw4ZARnezOl5lm0915CcoQAkJKUp2NZtJb2/qIgCFSAEuNX/uEWBY8RefGB4rUfKwwuhyMwVWLjYFtj+eUnyj+LOivNosnIBUNgYH/QyuekDPjcpk4863Gb9xQos2FaOP1sUnEvpzQFlTN63rfGwwHYiL5bgTVeJOhZYqjKUmilpV4f5XD8ipHh2d9MzJnpaSXb/SpGbksWaWj8RF62hchMHep/7rLRFQpOj5tjQlcTfjqdK75o0/K5Hge0erzWgQsGghc2pMd7o1x9/+QE7PzlGpWZlaD2nOxnhifxZ+VcycoVaDJ2/rU+j73s+U56s6BQs3e2LdA3qjBw+K7eBW2nlcZfH4WCRhUwCE1fXp3wP0036nKQMgpadxbVVJVyaVKC3bDtJOmN5S2tJBm9wEY3euIhWSNR8o5tB3MVQIk6FUGtMU5T/cBUO2+XHrqFb0On15GZDtkaoazEu6tsil+/MjE7BqhD34NzkfUybIUeNEh+zaH4P6oS1lyMXvthC1LkwWv72Di6NjJu7txad5qMJRgX+NBPR+Sn7ubA1ivLVLemxum+xclSVNEuaLWf/RUdquyfwza1B+f4H/yYmuy/lTJ6jxKj2YQw5PKykh3h1I5/VWbnMsvoB/WMLlsGr38J3SNOSGuKV4sTo1ZxcZgy+endLN3wKcHEsLc58s5fAU3HUfMudJlNMI5V3vzWfK4eTuUNV4nFBhoahbSIZdnx4gX0dHbycM+siDO/trFR8kjHziWOrUrL4ymcjfik+NHAMYVbYoGc+UHOSMlhZ7Sfi4iR4eEnp9PcAFg08zZlY4Qf1hst9Zj0sOAJZq1Kzvu4cdt+pSBxlDZ+3dAvGk0iiYyQk4EgQldEgp2u1UD72G15gHWeAxWWn8DBO2FR2c9XRff0glg47zalwbxq6hDPtzgDMHJ9e+U6dkcMS75nEJ8lxtlczOvSbp8aqjLdexd1ML8P7iYNi6bG24IR5O9rOw+9EMpdpRBaCHKM6hDHkkOkD59p3ewg9FIRnKx8a/9DrqfK+TEK2XmdUH6On2FejEui0tM9Tznh9CVxziXFDjVX5FKjYl9m6QLPfc/DqJtGTyqXIMPUUUT7jx/MySQ2M5X9llzHGcg2XZh567v7M7B5/0Okxd3p1rnV1+7+ZPMuKNWd9+HqqGVt7rzU53v3Qh7jWKUs8QjyFFjkrT5Tn/paCXTAVtqYPdYXi6d/DS7OP45cizG6vJlXg6i8nninzhS+38zBOhh4pEeEQdfQulo89Ry3NnzyHWVh3CWvv1EOFkjI8xJJM2noG8/npHvQ/PQF3Tyl3qYoKM3TI2H3Hl4V1/3pif0pzo6eR0lJO6NH7HAv3RYOCC3EVOf7l/mdez81fDhOfJCiehBQFfrMPPrW9uUJr8t7CVllgu9AtV7hxIgUJEurhR2WCGFjndj6lcLD3X+yeehX/s+nsn3WTne1/f6bMLwtzJyskjz0rLBye/yF5feZe5lpOYnHZKaQEFq8uxovA3N7UU8tMokJSSpX0SkUxyJQK2nxYAxkaJOio2dwGry4l55//vGwZtZ8LcRUJzvbg16kFu0QWhSZzelO3rT3ODhrajquMW5tXJ63F9mOmaRy2784/Mzazyf/giblWsD2/6Zx3cHcXHszmMjUd53d96viudcsafvhStJSt+2xffXMH0x+QuZMVEw505+1awfSoEcyHBwoeU5ujZtedSuRgIbhkkkNjrjBuaztsK7pgW9GFt7cONQS7PeL6HfMC62ED9No3Gt8aCirVUtLrwBgsnUxn+oV5kDnX9cC4INfjXPfpye/Gza+Bi0woWtTSPZg2cwoumxp/zbhyU6DBnRicbXLztbuxK8zk/e1jcc+U+WXh3qYy/xuXQj2HUIa3fUCr2U//PhWGQ1PPkZat5GGcjKOj1pWAlCWDd7daDGkeigwNVmQy8QPNE1eqL5pS80pq/vsAGv+YizZHXWBhk9LEys54W6wV+X9IRUUqldLz2MfP3c+LwFym5rHYI8xkmnxtmo2uxtozmYakbbaSdOqMKTgqVmFtzpioaWTFpmLubI1ULiN05w0WjbpKRo6cQR860WKW8cft278h39/cx/lt0bQY4IFPz2e7WTae/Q4Pjt4n/GYa5RvYG+IjPr759CIzErkUS0k2aXlBa3I0OFirTezxZRqVp4b1SQIyhCpmEnSUJQ6pvOA5lEONcgz2/8bwvu4nrgxYv4yTV21oUTuNVrNHPvN6vHvWo9u0SG5vuEnVd2pQsX9jk+MXv9rGhT+uojSX0mXZO1QZ0pj1AxqQm5CBhWubJ/ZbdUwLDv947bF9Ez01RzfO104ux+Q7IJO9Wp7pHRa9Q4dFJdefQgE5eYsuc7ui7QO9aEadGcGQpExk5vKSNiEViVL1SlJYmr1ySgGg98a+vNsqlM6Vgpm6o15pi/NCGT1BgRThV6JAxegv8pf2rDrsDWbN0NLc9T7tvIP5basnNj6mHizh+26y3Hs6q6vNJCUwFktXO0NA19S+d7icWIE7mV5M+9GMuIuhJuc2n9mFAb82QYEaVZpgY405FcSR97eT6BfBP9GptET4p5GtVXLvUpqJ91NWbCoLnSbzo+xbLny5FRAS+EUe9Ecql/HjsjLUsw+htnkgnZqlMfxmfoU962YXhjQPoYb5fTrYX2bE8hZI5TIiDt4meOMVAE59uZu+sm184bSc7FijDTzJP4rdl1yJ0bpw3t8GnUqbr/9Ev3DOvL+emFOC54kqLRs1Clr/+jaNZr5t0jbuYggHf7pBSqaSuEQ5m/puAUAql2HhakdqYCw/V1vK995LCd8fYHKurU8ZBm/thZe3BDdXHT1mNKLysOb55Gn1RZPHzDV6Wkx4dVbvL4J+OwbiU0lG7Va2vLXx2Yr7ZWPmaFWqSgHEADcRhIfwvT2BVOtbizKNyhfx3EByEzPZNmirIUmet4+E4SFTAMF885bFKZPazb/+oqfep8bSln4/HWDnVxcACY62anquH8B7XSPIwQI7SRrLbzbAsabRvJIcEMXvNZca3vf+rTk1PxZWDec+3sjh3+8CYGuhotbbFTm7PgLQ03NWk3zxB4Xl8qzDfP2NFB0yJg6MZfcODcHZHgBM/iiFN+e9LVzLvBNM/MR43jb/yjjUcDe8T7wZwZ91/0StVyBDy7t7+/DzwGvcSiuPFC0/zYYGXxrjHm7+epjtn517TBI9k7InGXJE/VBhKYdDjUn2vllbE3MnS9xaFS03U9zFEEK2Xse7W03cWlUp0rkirxWv7uazyKuFW6vKtPqpe5GVwtVpu/ir9Xr+fmc3WTnGr1Jsgpy/267E77cTyMwVtPE2rhDc5XHUGNnEpJ+AVdd49H1NSlNw4ucr5CDsI6TqbTkx7QQnv9htmJk71ChHpVpKQE/ZMlqqjDGW2PTuVhNZ3grItbINEecerSYkhO6/W6Trexz/A5EG5XbzXAa1Kwu1H8zJpnI344O05pimNClzHyla3q4VbFAKmdEpXPhiC1e+22/Iv6RFxqWfT3MrrTwAOmScWmW6mqoysjkWcpXhvae3BLm5glu/HWFH23nEJBjNntHZDox8J4UhrSM4P+1Aka7PpUkF3vipt6gURABxxfCfJOZUIEk3IvEd2vS5UnivqTaT+3cF47SlQoVKI0UrkXNO14RczJGi5fc/zakypCHHPt1DRkIubae3Jv5SKK5tqmCbZ466PGkH+37wAyTYWqjotqIX7w9IQo0Sc7LRIyEXc6pahbMow5ha4kn5hxKuhBJ/NZwqY1oSvOYiO0btQaGAwUdH4NLUN1/7whB7NpjJHS6QqVYydZk3lYc0ImDJOco28KRMQ+987f8p2zzrSaRkKvPMdnp0yJGgY/D6rsweGcS9bA8k6Pj+mxyazxQ2k9ND44k8EUzZxl5cnroXC2crmv7ah+A1F9n03jFAQgZWPJBWIFevwE6eSaRaSCferWown915+p7L01ClZHFn9WVc6rgVefUh8kojpsT4r5Mdl0bC9UjKtatieEjt7fIHV/bHAxLMJx5n2IlhhvTTRaXuuCZc+cSfXMzo1UvJWxtH4ffbCY5PFI7rkBF0JJwaY5vz1uLeAKys8B1hoXqU0gOMv/0B9lVcaTTzbay8HDg56QjqXEi+EcHiLeW5sfEuEomeeZuEWXdQZjlUadkobYXVxOMPXp1GS9TRQJzreeDc0Afnhj4k3oxg3/g9ZGuUgIqs2II9zLIT0tjQYwMAA3YNwMI5f7RydlwGmWozYjRl+HV8ELPqlqPmey3yjqWSeD0C93bVDDKZ1m3IIiVTYbgnTfuVQ6LX49u/PlFXY1HKNDR2us+7MytT4703AcFlekT1CyTr7Ongs59vQowptiOPBPLo921NJlN+saXWJ+3ZMWAdv2/UIUNLu3HFU4AAsWfu8UmbGzzUOiMhkrFdLjJg71DDfY4+egenep6GHFEi/z5EU9K/lMuzDtO37Gne7RTHSKtNxF8JIy00nqv743j0UMnRKjg8ZlOB5/9U/g86Sg4ySLqB5IDoAtukJ6q5QV3uUo2gIOEz3z61cZYKrpROkiRafm262RkTJphFVDoF4XtvGT5P8IsiLlFOcoaSg7OuU65dFXptGkjHeV2pbh2OFC39m4QZlMLjJN2MZJT1Rt7tFEefsmcMZpRDQ9eSmiXse2RrlBwYu6PA6xjlso9V5yuz6nxlRrnsK7DNojHXiNEIK5ygLE/WDBXGuDptF7+U/YVlnbYy13oKiTfzb5YrbS2p0cQa0ONgrabl/L502DSGcu2qMXOWjICM8lxKrEi0n7EcXMjeOyTr7IUxwpxM+qv39VsoJYL7rJlUhU+fugDkBEbwBhdpwiU0iQUrweSAaAZJN9BRcpCfyv9RYJs1Y07yUCtkkNUjZdk+V9JD40m4EsqvVlNY1mkrv5T9Gb9ZBd8rkdcfUTH8S/ltShKZeZGuYSo31o08TE5sqkm0OUBuesH++QfDhCCvGL0rq3vvKLDNw6AUw+vgEClLyk3jh7qbSdAJD7JWtZJwru9lck7Dfj7IJRpcXbRUG2dMuCdTGOWSAJK8txaudvyR/i4H0psz9kLBHiQLe+zjQa6wqsjCknkz0llQbxlHbruRizEGIycrv4eQ/+JTxOiN1dxi9K74Lz6Vr11qtmlsg99tJRvqzebIjIto8/YeYnMdWNd9Y4Ey9rnwOd+kf81H6TOMM22pBOljwVuP34OaY5vS1OU+1pIM3u2XY9KXc31vytcSvPlydUp+qbueKeWWEhwiwQwVCjQkBxUci7C69w5i9K6oMONgWMHxNOnppu81KMiKTefQyA1kqpR5n8nZN+VCgeeLvP6IpqR/IaurziROY+qvnpYGLk19KeOoMUTZgp56o+sX2IcNGaRiB+ip2NChwDadFnQj6NpGklMlSOMeEp0mIQR7w/GUZGPbO3+eJPthOq0WDaTD+vz7Gk1/7cvD678TF5jMGxPfMCnLCTwxTcbaGj/gH2ZaPzpJa8dWP2F2n4WSqgjLmXqD8j8Iyzb2RsY9tHk/BRkayjbOb1rrNciC2XmOUFK02GmSCPTLQZJ3XijehFGeK+GgqbGUiQH57fv/vAalrQXTflCwde59KleR0ubXd03a/pCX1kOVksXF7w5iVdbKYL7KSs7Nuz4LLiUK9RpsJOl0cbmMpZ2Slgv6F3i/KjZ0gEA9IMGGjALbdBrtwenpOsMkooFjCGWbtiEnLW+1hwI/6pClsUJZdSmf3y3+XobIq4m4+fwvI+5yKIsaryKU8oQhbIrK0DDnFxn1Pm1Ldlwqx0auJS08jRrDG1D70w4F9hO68wZrxp2hxhs2vLP92bUE5ignkaVWko0ZqVbuyKR6vtzQAK8uNVnmNZ3IPAuLUq6j009tqP1+y6dGdT48H0LIwSAafNraYD7S6XSc+3AjsddjuBNpw61oRyRaDa7EcIvahgdZkzL3uRhfEYBOFe9Rv6EErw5VqDJK8F5KD43n55Y7iUky492PHQk+FcWWc8KKo0+zaKq1KsO5eVewcVTQ7/T7hk3y28vOE3T4AbFXI3kYLMRblC2j5WG8jDM0M0RMS9DRQXoMS3d7rLwcKV/XgXbzexrqQavSsrj16xE8O1Z/6ma4VqXGf+Ep5nyRQJRGyOvUxjOYqeGjCd93kx0DNpGjVXI4qykaFHgqYlmlKjhn0uNs67WKgAvpDFnc4okBhdd/Pc7plfcp62VGj+U9sXCx5eavh9nx2RnC8eQ+Rrk3XSpfZI82kVLj1U2iJ/LiyEnKYK7zj6j0ChJwwruSgrdnNMS334tN2hd75h6Xph+gUt86VBtrNBEF/X2W9cOPAJCGDTeojRY5VSwjmBfxToEJ5hKuhTOsgT9ZWNLc9T4zYoSZ8+bGc7h9OYt4nAnAmCa8AiE4kkSm1JpBX3rSfGZnDo3bTkZiDt2X9cqXjfOvN5az/qKwyrAgi53pbxpm8+qMHGbb/GAwD9V4w5o+502z4eamZHFi1BosnCxpsXgQlyftZO5Pah7qhHxS5mTjyz38qcWj32H/RvcZd0m4jr/cphITK0WGhnFXR+NcP79XU05SBos9Z3Ezq6KhUNAjFq00p+owY+R5wF9nub45mPZTmxXbkaCw3N94iX2TL7DtnhAE5yBJYUPSW//qjKf/MkSvpP8i5o7WDN0/gMszD+PR0iNfJO2LwrVFJXoczv9Qykk0ZouMwt1gsgnM8uTyzydo8UP+3DeRp0PIQnjQBMXbGz4PupKGkMjC1EXVQqmhunsWnf7ubvDD7/hX7+e9JIECJk5m9pZ03Gr0EmoyqxdzOwexfNgpHkQrcFDF8QBvHv8N7rviwri810nxWgSDlJzY0/cKVAw3fz5MapbSoKAeJzsx2+R9jbHNqTE2f0Tzi6Bi/8Z82L8x9SftI/D0QzpMaiIqhX8h4ubzvxCPjjXpdWriS1MKT6PauFbYmAu2aTNM806VqV6moFOoNb4FnSoF46F4yLj3jQ9GM4WwUetCPLYIwW6eilimnnmLEaFTCh2cNWBtN1q6B1PJIpL/fakzsf0rrM3p8GVdbC1UuLvreWtt4UpyurWqzKTQ0cw804oyihSUqEyOOyqM9vyWE2piqVDhU0lGtcdqW5i0ry5siLvyENljiYwqmkdRa1yzQsn0Imk+swsjT43As2P10hZF5AUgmpKeQHpYAhlhif/KSFC9Tsf5qQdIi82i4fjGHBq2lrjQDNyq2NLz4ATMnW1KdLzMyCROf7iZ9Lgs7kZaE5tkRudeZnRblX+DNDUwll/b7SFXJeGT7a1xbW60ZR/su4TLWyLQIsPWQkXPNb0p36NOgUFuj5Mdl0b4gTtU7FMXuaUZiTcjsPZyemZwnyoli4zwJBxre6DOyiV0yzU8O1V/pv++TqMldOcNZg8N4F62JxZkM6ZPMr02DzK0eXj2Htt7rUaulNLn6Djsq7jm6+fYuyvw334fuaMNZh5lsHMxo/P8Llh5FOwMUFxyEtJZ1nET/oEKqvioGLLqLQIWnsTS1ZYG07sjlf775o8xp4Kw8XbE2tu5tEV52Yh7DMXlzqITbJ1wDC0yqjW0pN/lL17KuDqNlnvrrmBb3uGp0aZZ0SkkBcQ8s5j9k1jSbDnrzgt2aydJIjX1/oZvS4WqcobemVSgbFen78Ha3Y5q49s8tf/gLVfZP/US7T6tQ/VRxtltWmg8/r8fx66CEzU+bMfdvy9we1sgZTzMaDKrB0pbS1a2WcnfJ8sD0KXyPSwspVy9Y4GnYyb6mFjk6HCwUfFRWv7iP/veXU9kQCpD9g7A0tUeEPz2x9a+QILOEV+LSNpVjyHwahYKiZohe/o9Md17+D5/Pu52nxS9Hf0a3Cfndghp2UrMpGreuzkehxpC7qas2BTWdN2ARw07uqwamK+fD21X4p8u5EHq6XYZdVI65arZospUE3pPcJ+t3dqOXic+QZWWzan/7Sc9Ko0avSpReVhzbsw/SVJICg0/amaSuPD2snMc/fUGnac3xrfP0/ePbi06TXp0Ok2ndzJsgD/Oz1WXsjfQqIDLSaKopA8GoGZT62JXHIw6HIB9jXJPrUoXcyqQ9AdJ+A5q/EwFX1IsbrSMjVcqYk42cxbbGDy9/iOIewzF5cq8swbbbuCV9Ge0LhlykzL5zHsLARneSMhkTKcLDNyf34yRcC2csQ2vkay3Z1DT84w5V/TskCevGDd8E/VO5GKGeZ6ZJ+qeqf1ap9ESc/IeF787wK1Tgvmma0waVUY0xdrbKd+DJjU4jg/6xpNLNXaPzmBlpSDcW1Um+tgd/m6/FlVenqDfPwsnSO0DeGNNOl22/MT4h9Nwq2wDJ4W+YuPlXEsWUmI/iAE3rKjCPdSmVhoA1rRZyrKTvoAbFz12skwjFKO5skBQCgDB2R7YXn2ILaDWK7j649EnKoYjP14mRS+Mve2qFy0Qci7l6hTcWnCSVouE2f+HHjsJ0VaFa3qSwpcy5ISp62a6SsiSqUNGaIw59uQS6JeDs4OGRz8/p8rCrHV65XWce1gRcKTqzlvoxgTl3SM7HOadZf6RapR7swrRp4L4ZHQGaqqxt288G+/FYefrYvp/0+nICEskYMUVvvneArDk3VN/89aUJri1rmLyEL4UbLoCidWXpRKCYgi5klTg/XkWW5v9gv/5DJQSNWOujClwH2VP5z+4ekCIwnd4fy9jw75+KdmWd1wRlHoOFhyYe/e/phgKxb9vjVgCeLYwBmU5Ob6chdKpSQcNNQD0SFlxwJXcpMx87QLW+pGstwfg7NX8UcCFoYanUdlZkIXyMdu/rZ1xQqHTaJnovJoh7WNZc8obXd5kY+O8WHpUCGCczVpUKcbNZYCgjX7kkufhgxL/NX4AnJy406AUsjHPe+AJZGCDf5wwG+74V29mTcth2ufpKOWmVf60UgVlXbR0+d20/CjALT+jHT5WazQPVO9bA3OEADEnaTKedo8igvX4dK6CXqdjecsVjLNaxXTL2WxrORedTkfNjuUMqahr2EWilAqBgFK0+PatV8BYEhMZHvHF71684XKfKtIg7DCm55bJJXT8vAbdptWn1V9DALjy0MNwPAEnk3uUrLdn68TTAPiv8UOdF7iXiznBW/xMxsxNyeJ3m8nMrbCQXb8bS8oeOW3G0vabWeg8FZ3GGOznbZdqcr71Y/ENLl7Fq1cQelVQKCq9gntrL+U7npOQzrUDxij85AwFlybtKtZYRaWGg7HIVM0W9i9lzNcNUTEUQJulQ+n+fUNaDfNmeMDnL2VMndZUAemRoNfp8rVr8HELKllEoEBF777F+/d9enkgYzqG07/Rfb6bKcNGKUzBbcxV9NxkNIdEHr7LzdTyACTjgNRciZurjttpwgMsKMuToI2mJT4bTXqLCrIwQI+HNJo3f38bAO1jdQkKUrXODsbjb0ztROs53WncxnQPoGOzDMY9/M7EHfYRg76viiWZSNHSvpKxIlm5N6uw9Eh5vhqdwF/XG/Fe0Ke0m1CZAUvbUfd/Xbj5x2lWn/EhMMuLi9m1uHUmjTt/HKfxpLdYsNSCSROSmRXUm7HX36PN6AqMPDIA9zeNJrz2lcKQosWSTIbMzG/aqzG2ObMejuKtZpkma/iKb3rxxpw+NJja3fBZXQdBbgk6HMk/U3+0Unrz97fxkEYDeirIwmjw9Vsm7UI2XjakAjFLTaC56318zSMop48CIDFVQfTh24b2n2xqRgVz4ZiXMoZJMy2p3siS+h2d6H9pYj45CkO9vr5I0Ampzz9+s3AnafN/318EM26/w+fD4pj9vepfWz/6eRH3GF4RsuPS+Lj8Tu5lewIwvM0Dhh0f/sT2WlXJlv3Lik3F0tV0U1Wbo2aswyZCcspRVhbPythOmDvbMK/WUnb4+2JPCjMX2lO9gD2H3JQsw+auTqPl7rIzbB131JC6OlRagTCdcK3l5A/5K6wjlgXYoncP2cjVE+lUr2dG760Dn3nNqoxslNaFX0md/d9upv5ogRY59iRThUC6f12D5rO6P/vkIoypVak52Hsp0dcf4tPGm3ZrRuRrkxmdwk/eC1FrhNQW96SVidIJpU7NyeGnhVbUGNPMYAZ6/B4/zq3FZ5g5Pgo5ajrVjGTIra/JSUhnnuuP5GiV2Jir+Ch5mqGmwyOyY1OxcC25xHhalRqZUvHE49vb/MbNk8JqxdZCxfjwr0vc8UEkH+Lm8+uGNkeN/5Jz2Ps44t2tVmmLA8Csiks4FFIJBbn8NNeMup+04XC/JZzYHI8CNbbmKj7Nzr8R/IiL3x3kp+lZJOkcqGXzgJZ103Cp4kCzuX25veIiWfFZQnRzMXzh72+8RMjWG9SZ2LbQ6bSz49IIWH4Jz9YVODZuE0E3c0nDGmcPwWRyOLIaeqT0qh1M/4WtiTkdTJWRzQqdSfTh+RDOzb1Ird6V8O3fsMjXlJsiREVblLGi8ojmHJ24h5igdOKvR5GdrkUpVdNx6hvUn9LtiX2MslhLSI5gR/+obwy9Ng3k1m9H2D7xFHpkeFeQMPz+lCLL9iII33OD9NAEqoxplU9RibwQRMUg8nzkJKTTpcxlQ6qJRo73cUwJRaOTGALV7CxVfJI5E22OmmMTdxMdmEbTUTWoPLgRqrRs+tgfIV1vnAX2bXCfCVdGPbdsYTuv8/fbO9AjRSlR81Hk50/1fgGh7OaEuud5qHVGhobq3MYJIaGTvZWKQKpwJ1PYX5KhoRWn0SPFXKZmrN84HGp6PK17sqJTGOJxgmS9PQpU/LmjbKFqWD+LjQ1/4u5Vo1OAXKLhi5T/obS1JHjtBQKWXcShShmaze2L3FzBOKvVBGYJqzFzsrCW5tDA/j65SY/2g/R8lfj5K1lWV+SFI1ZwE3k2V6fvZqHTZPZ1z19t3dzZBh9z40adKi2HXJ0CLXIUEjU+lWT02SbsScyu/jc/LHZk5fHyTBiSyuVZh0kOiDFRCgBhYRSJzOgUtrWcy+YmP5Nyx5j+O3S3v0FhqfQKYk8GPrOvI5OOG9JJa5ETjbFcaJkK1lSpYHR3siPN0H+OVsGFSbuf2X/UyWCDY4AaJYG77xmOpdyJ4c8my1necgVZ0SnP7OtxEh9k8Lj1XaOXkxIQjd+sfawdcgC/4ykcX3yPNdVnATBpWwM6VwrGVpJGDpYk6BwN+0IANubqApXCpu6r+dxpORemF636m8i/D1ExlCI5SRlcnbaLRL/wIp+r1+nwm3ciXwH4onJw+iXik+Rc3hNH+J4b+Y7PudyGsZ3CmTQhmRouxnoB1tbwbtC3eHSsSWpgrKHuMAgP3b+mx2DlaU95M9NaDikJGo4OXv5EeYLWXWJbr1WkBgtpo7e0ms+tM2ncvpTJhtaLAUi995CIMC3pEkHpONqqKd+74Cyxj2PjZFpgvYJTCnXftKfJ2670OfMx488M5v23oxjx5gNaOfmbtLVwyp/T6Z9U6F2X2rYPACGHUNaDONLuC9cxq9V+NlyqwOozPvzeaotwHcFxbOu1iqB1+b12HrFr8AZ2JTbnNC0JQfBSsjZTYenpyKrpoUTigSbvZxwWqiMlMBbPjtX5Mmg0nlbG9LblXTJpN6EyDTo5M+Ly+HzjhO25xaI9nlxNqsCs6QX4AxeByP238J93BF0BzhPPItFPKEtakEeeyMtDNCWVIn84TiYhWY5CouGDex9iW9Hl2SflsazFCtac9UGGht+XWlF9VNNiyfCrxSTSc4SSkx/cGotDTQ/C9wdwbsE1vBs40/S7zoa2iTcj2Nvnb7QqHR2X9zV452RGJtPT86rBvARQhjjaON7inV3D+Ln7SYKSy2BNBq7EYkca4y+8i0sT0+Rwa99cxrLjPuiRYkEWf2x1Y8+IrSSlCbZnS4WKL1Qz+cDmb4Nr7/tvR/DO5kGFCo5SZ+TwY801nAjzwdvsIdN31sWzY3WSbkYiM5OjB7S5apxqexJ50J+NPdeTkavA01vCUP+vnpj6+3F0Gi27+67i2o4IpHmFeT5Kn8G7yg1E5JXdrG37gE9W1OH93jFkY4kEHaPahjL4mKmJLe5iKAPfCDFs2AO85XCJkbt7MafHaa4mCffPkURq448EHZ9FfIyVhxC3EXUskBUjT6NQwpgtnXCsbVw1XJmyi4dXI6nzQUs8OtciyT+KQbVukYs5FcyjWJY9+JnXWhCBy06zcfQR9Eip2dyG3mc+LfS5affjGFrpAml6W+o7hPJLUv4NepHnRgxwe9V5VK9ArZcTd/5+kRTDnTuCntYi596RB8VWDMPOv8eV7w/g26+uQSm81yWcHDxhH4y/sYZ+OwU/e6fanrwb9G2+Pqw8HBjUMoLVp4UZrQwNXoQTnyTDpYkP3d45z7JlaUTiQQzuVCKIRL+IfIph5wlbg/kmG0v+HneOHl80Zd/ki+iBpmNqAhCSYYwATkvQFDpiVmFtzuQHo/lWpzME5u0cuJ7fNwj3vSp3cSGeZgM86bB+FJ/lzESn0xUpJYRULkObkII0bx6VliGc++4YM35emIMMHYO/cOfvcefIzssQq0fKzhO2/PNRHOcXZaIUAOq9U4EyTSpwLclYKS4ZIUCtVit7g1IAwVX32wf5U7rs77mIS7uElcz1fZsZvg88OtdiwYYYbmwKpM3k/O7AhSX8SJDhf/jwTvIzWpsSc/4BaXqhrGpgcuF/CyIlj2hKKkWaDffFQq7Ct7qCCoOaFOncodMq4qWMoYFjCG/+0L7ANqq0LE6MXMXZjzY8cVnvVNeLjlvHUrG/UNjn7O9XycHoennksHGhuK/7In4xn8SSctNMSlgm+Ucx8tQI/lxjRXPL6zThIjZkUtZZh1Quo9YHrUnE+MBKxgHfwfmv91G5ykdYWUH9b7vyVfo3fJn8NS3+EPYzhnVNRI4ad3kcXWYJUauxZ+6xuOwUfrWY9FRTlVal4fCE7RwatxVtjpqtWyXokKFDRiQegIQb20LQ5Kg5NW4tZyasR6squModCKaeURZr+V/ZZcSeEfYUms7sgoVchQQd9boKq4T2f/RiV3IrdqS/SeNv38LqH5apf147QJXBDU2CzeSoafRBE6RyGY2cHxg+r2oZweA1Hel1ciLJ/pGGz5NuRjKl3FJGmq9jU/fVhs/vHja20SLD73ehYp1v/4b03joYp7qeBV6rXqfj2Ec72D9yM6q07ALbNPmhB2UcNVgpVbSe1qbANk+i8qCG9KgejLs8jgnDs559gsgLQzQl/YtZXW0mIXeFaNz6HRzpfujDZ55zbvI+Js0wuo528Anmm5DRXJ+5l13fXjF87u6mZ3TkFL4ss5IrSRVo6RbMd9GjyUlI5/SHm0Cvp8XvfQ1unj9XXcLeQCEt9/geEfTbOTTf2Bem72fGNC2ZWOEpjWZhWCesPZzytQPBLCS3VBpm/n84fEtCitHdceDydlQekT/VwZ9NlrPhkrBS6d/wPvHxeo6FCfsj5YiiEsF4eoN1GUvuXBEeTtUbW9H3Yv5AxzsrzjNhpDFqvK59KHOTBfOHTqdDm6V6ovkpIzKRCd4HiNC5Y0Um306T8cbUzvna7eqxhK27zdAhpVXlWMYECnJkx6Vx8KO9SCTQcX43zJ1tWOI+jegYCWUcNYyLn840j+WcjjHu/cyeoaLxpLdY4fMd4Q+MP+cu39al0fc9C5Tzcda89TfLDgsmvK5Vg/n8jli57TVENCX910kMz4K81AkPbycW6pxm33dh3PXVHD0mwbtsDh8c7gFA3PUok3ZpSWoSroZzJc/OfTrGl4zwJKy9HOmwPr876ud3x9Bl6TnMHSyo0LtNgWO/MbUze6YKD02ZsgEWLrYFtksLjSdk81Wqjm5B+v0Erv55hdhUC+SPpaeOvRRO5QJM1MHBxtf37kuZGdSH6u/tQioFS7JA50brPweyrPJPPPp5xAen5u8IiLwUA4+thMJSHTgxejXV32uBXUUX/JdeoHLf2ibJ7x5h7eHEnzHd0Ko0T1R+AD12jaHW1qvkJmdRdfQQw+cWLra8vcEYpZ4Rnkh0jPCbj0+Sk3A1jIgk09iQyOsJNAZ6HxnH1vaLSXmYS+U3yxVKKQAE3zauaoLDzZ7SUuR1R1wx/Is5N3ETR3/zRyrR8/aCN6kxoS0BC45xd4MfNUc0MpS6LAwPz95jactVaPTCw7JhZ2e67BnP12VXcimhAq3LBTMt8tkzyNyULCRS8tV0fkT0iSA+63CDOI0jfRs+YNxlUyWTk5TBL2V+Qq2TYWkJZ7Prk6a3QYaGelzHmiyUUjXj/ScgtzLj4je7KFOvHLU/E9JGXJpxiOmTNeiBqdNlNJmSP+8SwLXv9rBvquAt1OX7JtT/VigodO2XY0Rdj6ftDx3QZOYysuZFknX2AHjzAB/CkEs0RFhUIjDLizKyRFbHdcpXqW5TozncuZKJhVzN0MNDcWuTvx41IJhsdPpCBQAu9ZhGVJSEss5axsV/x/ouq/hrvxCXYS3JYMnpqiZpzJ/F7WXnOb/iLo0GVKT2B624tfA033yQilov56tPcmk7t3AKReSVQgxwExH2GSRyGQpLM0K3XmVVn92ARPCEOdKfcu0KX2gl9sw9/H49Rpk67iY5flIDY7EroJ7AP7n12xF2TjyFBD19lr5VoGJ63NQDsCOoGnaVyj52fBkbLlXAkiy8COMuRvm7VrxLrbpSGnzTEef63sy3+9bg0fS4uUSdISTVe5aX0T/bPW5mq237gHmpw0m4Fs6pH84QeSORpOAkJIAOOEMLw8bxqEY3GXLpI+P9uhfLb5X/NLx/kqnq9rLzfDk6CR0SfvjNkroft3mqvAApgbEmtR0uTD9A5I1EWnzauEhlP6OO3mVE+3DUCB5rS7Y4UqF3PTRZueg0OkMdbpHXDtGU9LoRuvUql388hlUZS9osHfzMSN7C8PjMPPJoII++F3qkRB0NLJJicG1RiU4FPFwKoxQA/BZfNKQzv/rbGcKPBJGTnE3TGV1xbih4NLn5WkKeW7+DJAVLN9NUFKevWwMSsrDC20NLZFQGGXprFKjo9WNjKvYxxjOkpBl9KyJPhtAo73Vh3E4Lanf35EPIiyUITBOu2bm+F+9sGUTolius7rs7LxJbw5vlAjkVWRFnEojxe2jSj6WbPUqJ2pBt1tHXaI6KvxLG4W9PYuWgINQ/k0yEGf6RRcGFUgz/LPjzxtROhbrWfxJ69D5qhFWODhkhxx5QoXc95JYlZ0LKik5h5+hdpMareevr+lToXe/ZJ4m8FMQVwytC5P5brOiy2TDLdLRV82HqjBIdIy00nj+r/EaWWom1mYrxD77MlzivOKQGxmJR1hapUsb8Rqu5+8CMfiOtaTe/FwCaHDVh26+RdDuW/TOuIUGPtYWGtGzhIaOUqplw9wPsKrmi1+nY0X8D4YFZdJ/aAGsPO/z/OEnlwY3w6FiTv9uuZOWJ8thK0mhtfQ2vhi6YezhRq191XFtUZF3dn4mLzKV6O1d0ah1+x5Mxk2kYenBQkZRgQUQdvcvEjgEkau15t20EcoWE3UetqOmRwpd+g4g9c4/gTdeIjIIrVyTkpqtw18dQp409bx//mIiDt7mx9haN329MZmQS56cfwrmKM+03jkIqlZJ67yEjq54jSSe4n1ayiCA8uww6pEz7VkuZ6mWo0KsOsrycQmc+3MCV5bcoU96Kfpc/Q6fSkv0wrcBqcEUlOzaV98vvJTTXHQ/FQxYGvlngXsnz8JHdSm6llQeEJIF/7vPEq3ONEh1DJB+iKel1YnfH+Vw7ZJpq+b3Tg4q0/C+I5IBotLkanOsLtmZ1Vi7Rh29TrmNNQ9KyPe9u5PzhDNq87UCHRe8Uqf+lzZez7lx5rCWZ9G6VwMqTwoxagYqdD9/AwsXWEMhnbaZi5I33SbsXz8ruO0z6aTehssEd9RGZkUnM8/oVtV6BDC1jL43ApZEPR8es49TSYEOsQJ8/WlFjQluOvruS46ujUORtQo8+0hf7Kq6YOduUWII2bY6anIQMUgIfMqR9rOHzz959SLe/+3Nr4Wk+et+YQvzr0fF0XNKX+MsPGNb4NtlYYi9JZU14q3wlOg9P2MYPixxNPlu52xG7Si5MrHOMB7nu1HMI5dekEWTHpTKn7K+GmIG6be3wP5GIRi+jZjMbep8tWtW1U+PXcXdHIL4dyvPmqhGGaw0/eBvPDlUNK4WEa2HIzOSGCnbFJfbMPQa2NHVoGP1WGIMPDnuufkWeiZgr6XXCroKpZ4oULTYVnm+GdmDMFvrWvE2/BsFs7Cb4sSsszfDuWc/woLy18DS/rC7LudiK/LDYkeBNV5/a5/2Nlzg1fh3pYQmoM3JYf84bPVLS9TZc8zN+55SokSnl5KZkkZAsrIIycpXkxKTh0rg8MrQm/TrUyD/LjT19D3WeuUWLjMi89B9StcqgFAAyIlJIuBbOwrV2nKU5t6kK6FFYm2Pl4ViiWTtl5gqsPBxQWJshfewajq6OJeFaGKkRaSbtNWpBzpD9gWQjmPVS9HbEnL2fr++y1U3rD1uQhUvj8mTFpPEg1x0Av2RvVClZSJUKpI9lUAq/lpDnGCDB/1w66owcMsISODx+G8Ebr/A0QjZd5vjie8TESjm9OpyAhccN1+rTs45BKezttpA/Gqxgfs2/ODlm9dO6fCa2FcoYCig9wqWCmHL7VUFUDK8Izeb2xbuCFNAjR0PbCdWKvMfw8HwIWpXRZXPTahVa5OiRsmFfwa6f/3yQpUUU7JoJ4D/vCGsG7OP44nv8WXkuErkEd0WC4XiD+jC2UzitygUzY64VSntLzOwtqd7ICgk6vH0kuLWpioWLHe2/qMMDvLhCfZRuDtSY0NZkrPjLDzj0qz/JijLoADsrFdU/aAOAV7faREk9eIAXDk566k/qzOFvTxhMMHGUpXY3j3yR1SWJSxMfxnaNwo4UvAjHTp/Cxcl7aTKpHQ2dhKpp7tJYqnWrCEDdD1pQ1UrIiVVeEcm1n48TdznUpM/aH7SijdtdZGiwJIuvv9Bi4WKLe5vKdPAJRoGKfo1CDfe159zWlCunp0EnZ7zqGycRlgo1SCV8UPkwPyx25L0BqfjNO/HEa8kIM12pZkSkFNjuxr5oQIIeKVdW3zV8rlWpiTsfXOA5T8LS3Z7PJmRjlVdc6a0Kwbw5t/A1MEReLKIp6RUjKzYVha05iiJu8k12X8qZGF98zKL5I7wbFi62TPVYyqkoYfOypk0Y89PyL9M1WbnMqLyaC1EetK4QyVeBI56YYmJri1/xP2ssCzrmaD8kchnbPz2Njb0MO2k6FvbmtFk+9JkbvPe3XGN0X0EpWZHJHn1Xk+PvWa0mKC919OCmIYw8MxypVCqktvY8YXARfWRaedxjyFqSwcbIFgUW/ilJMqNT+M3jF4ML7yPPpz8cJ/MwWYEMPUqpmo8ihJTgep2OjS3nE3guBTCmLH+cGZLJhpxT727uik+fp9d0UGfksGfkdjJTVFjpMlClZNLq157oNDCknTEz7pDmoYw6U3DuIZ1Gy6oqPxARosatnJRhQf8r8Pv3u+23JKcLq69y5fSMjpxGdlwqC71+IiNXibubjjHR0wt38/LQZOWiTssp0QJBIk9F9Ep6Xbi99Bx759zGo4KSvlv7F9nzI+VODGfyIlxDc90JWH6Jhl+35/PTPXEfsBu1Ss+AZR0KPFduaVao+AOAWmObcvvsfnTIsLdS4dqqMlK5jAlXKrPA/ltCUoWHRsLd3xh48+sC+zg4divLl4NGL0WJBSrM8bbOH3wXk21vvL5kY76ioE1+BqUAcD3ZB1VaNs2+78KUjJ0Enkmgw1f1XrhSALByt2fQpp5cnn0cjxbeNPq+J6q0LBKS5cjy5lEqnYKQTVeo9Ul7JFIp6iRjiovM7PwLdltrPckZgilxQ/8dSCU7aDqyqqEu9D9Z2GwNO24J//s6dg/4LeV9QHjYV7W6yN1ML5Tk0mLskzfepXIZw+9Pfub1DjoxhiOjNiBTyui4QZhkBC4/R0auEEQZHSMl5U409tXcn9nXI+SWZuiBPZ3/ICkkmcZftKbq6MLH14i8GMQVQymT6BfB4HoB5CLMsIe2CGXk6aJnlXyUcdRZmsTy4JYl7kHyiLjzwUSfvEf1Ca1NXGG/k0w1bITamOXi4GaOwkLO2wfew9pL2D+JPhHE0LYRJonh3usSQfc/u+XbiN09ZCN/rLXDQZ7OrK1VKN+jNiCk3B5Y+arBXl/JIoK/sobi99sJVk0Pxd1Vywen+7+0EpE5Celsbvk7abE5tJramlqftGeu5STSsoWHpQwtHwZNwK6SsIcStsuPjb03k6uR0WywT74SnxnhiZwcv4Er+xIe+1TP2OMDDEFwGeFJ/NVpG9nZEBJjQUiusBGsQMUhvbH+syotm5sLz+LZugJlm74Ys1ra/TgWVv6dXJ3CkEm2qDy+EpWiZcL10TjV9SppUUUExBXD60DY0XsGpQAQeLd4+nduTH/urr5Mhe5t8z1kSxKXpr4FltH0rWnOPf+8PP5SSV4uHjX7+64wBG9FnApFh+lqyLWKbYHydl/Tn64rtfnMWnaVyvLLcgc2Tw3A0gqGrRISCM74LJlEnQ/XU8BrxA767c6fi+lFcHT46rx8VHL2fHaCWp+0Z/DJ0Rx8dx2qTA0tp79lUAoA3j3q8qW6LjpN/msDsPZywrGKC9n7MkjFDntSMCeXmFPBBsWwtu8Odt8R/ge+FsaEeF1qmtb1UNpa0PDrghMslhS2FV34IHQiEXtv4Tv0jWL1ER+YAnmTBR0yoo7eFRVDKSMqhlKmxogmlPvfHqLUQnRvh37Fe6grrM2pNb70luCDbv2PoBVnMHOy5sgHO0nPS74qlRsnKDWGNcB62gUy9EL1MBkabF2fHEH7pL2OaiOaMmWEaZpxqcTooSOVvzyfCpnCKKMk71JdGvkw9M6kp573tFThSlcHLtMQHTJkaGjCJSoNMz50ZY/9aj2cc5i0wJHsxEyqjSidpHbWXk5UG9+m2OfX6FuVh4uEzLSWChWVRzQrIclEiotoSioCs73/wD/SgbdaZDL05JgS6zcjPIlLP5+iXEM3qrxbtPTbryKJfuHsH7gahZWCHvveM2RYBfi70e8cuFIGPRI8iKRpc6lJMZfv3BYSHGdHjy5q+uweXugxA/46y9rJd3F3h7EnB720lA2qtCy2tZ5PanQmrb5vT7Wxha9lsKX7SnbtU+DrksqUmAmGz5c2X87ac0bTT/+GwYy7bHzoZ8emsqLbFrIz9YzYaFqA53UlaNV54q+EUefzDgbTY0mwuvUSDp2xoqZHMl+FvV9i/b7GiAFuJcnRCVuYsUjwM5eiZcNVX8rU9y5lqV4/bv12hD8n3iURJxxIYdjXrjSZJURIb+25kgW7ygNC7YFd8U2wcC7YzfZ1JzshjR5lLqJB2LD/oMcDeu8cDsCZ/+1l8o/GpHtz50LdT9qUgpSvN/HXwhjQINiwp/Xt+ATaLexTylKVOuIeg8irh0YnIwChElssbqgRa/v+EwUqqhFOMvY4kYiMgjOvioi8KMQAt0LSbmEfOnkF4CGNYnirkBJdLWSEJ3L2ow0ErTpfYn2WJol+EfxSbSkLGy4jO840gO7ietOI38DTcYbXvXcOp63rbTylUbzXLapIq4U7f53iz7JT2FBvNqq0l1f9S5WWzYJ6y/im7DIC/jpb6PMsnG15r1sUntIo2rreNqwWACJPhWBJJnokJOLEtbW3Tc7Nik1lY8OfWFNtpkklvdeZwFUXOfbRDjLCk57duJCUqe/N8FYheEij6OQVIK4WioBoSiplchLSme/+I1lqwb2xoJxBrwt3VpzHwsmKvz+4xIkIwWtmcLMQRp8dCUB6WAI/lv+LizRGixwpWn6arafBl8/vOfOj/FtytYJZpsnbrnTa/t5z91kYtvRayx87BHfRMrJENml6P3ef1346xJdfSQ2BbtaSDNaHvoG1t2DK3Nr8F/zPCfEQHp7QfkFPchMzCqxY9zrweI6ocoqHLIvtlq9+hUiJIeZKeh0I+vu8QSkA+G+6U6x+1Bk53Fl0gozwwlVqK2l+q7WUCSNzGdEzicgEo/ut1pihg3t/X0CJmkZcoSp3acQVVLFPLhiv02gL/DxoxRmWeU1ndbWZhrQSj89vdJqC61u/CLRq41g6vfBzir/8gJ+rLeU7r6XcWVHwKvBJ1waQFpttUAoAGXprAv425rDSaYwXm5qgYmXPnawfeZR1tWYV+zqeh4zwJG4tOm2oX1FUjmxOMbyOUpclYMXFEpJMpLiIiqGUKdeuqkkyNpeqxXNXXeQ2g00TTrLAZy5pofElJV4+Hp4P4cqPR/IVg9/nb/Q71+kkdPAJpnu1YAZvftvwuVsrX0CPObm48hALckgKjCtQmR0dsoKZiun8pJhE2C4/w+ep92LZNPIQkREQclfD2tZLAej2SxucHTRUqCrnzRUFRwm/CHqufJuuVYOp5xDKt78I/7tJrU+z964vxyN8+WxkMqn3jPUYHuy6yUDFZrooDrN7yMZ8/WWEJxEbaGp+k6LFs5WP4X3nzSOoWE2Bt48EdEYlEexv+mBWpWXh9+P+IucxKgpp9+MY4XOCjyZomeiW/3oKQ+UqxkmsGTl4t3u+jMIiz4+oGEoZp7pe9F3SAZ/KMhp0cqb7wQnPPukfpNyJJjlDMKPk6hSE5GXTTAuNZ3OTn9lQbzYJ18KeW9bAVRd5t9k9vvifnI/dN5vMeqvbRRte16mczTcho/n09misvYxppN3aVKXtGF/MZWqUUjVStFzZl8DyGnPzjXVhXQg6ZGRrlJz6aq/h8/C9/oZiPwBp2UpUaVnU+qQ99YbVwsxaScyJwOe+1sISdeIe1tYSug9zpO4nbVClZXMv29NwPBtLQvcaV4FbvrpErKYMuZizdF3+cp1f1djDn/s8UZKDozQZF1kiX45Jwb1NZUMbay8nhtz+huEhU3CtbIzwdrQz/j90Gi2L3Gey83+X+LPZqhLZv0q4Fs6Cesv4s8ly0vMmH0Gbb5KgE/7HARnepNyJeVoXBTLs0CDGdgqnS+Vgfl1ii1Ndz2efJPJCEb2SXgGqjm5pyA+THZuKBIqUL8m+mjvubjqiY6RYm6moMlIIENrU8g+iooTZWFybJXyUlj9dgTorl78rzyImSodnBQXvBn7zxOCrM3/dRpVXwexuphcxp4KRyuHUxB20bmhNQ2kY1o5Kui598oy91V9DaPUXhG65wqq+wgM/LSO/2dPKQkdq3h6ywtEavU6HRCqlQr+GKD87gUqnQIuEsg5qlLaWXJ68k8O/CQ/ge/128kmkb4lUwHsaWdEpfNIvmgx9RbgCZtb7aPZ9F+o5hHI9WbhPDtIUKvdrA4BOp8PewTgXc7VIyddnWIbgw6/CnJ82uphUpCuIvucmcmL0GrKTsknV2fBHg2W8M7cleo2WlEzBRKlDxq2/zlP53aYF9qHTaJldZQUnQzx4o1wk3wYNLfD7N73NcfzThWyx0S13Mj1yNDVGNsZn2h5Cc91p4RaMfbU2T5X3n6jzkugN3P9ukc4TebGIK4ZXBG2Omh8qLqWb2xXetjrCkfe3F+n8MdHTGX9uMJ+kTTMElKUmqA3HMzIKPu/a9/uIipKgQ0ZYiA7/eUefOEaDvj4Gs5e3MgaXZj6sab+Ku9dyuHk0ARtNCvLUJP6u+iO3fjtiOG9x42W8JTnEDxWWGj6LuBTDRRpxmuZo3fIXfRl0YjTVGlryQFGRP8/VYYLtGnKTMrFyt6f/xl4ESqtymlY8kPqgzsgh7mokeiAEHy7rG7Dnvd1FuHvF4+DYLYYoboDwa4moM3IoLw2jPKFUkt5nzkYvLN3tyUnK4HfbyUScj6CO4jb9Gt5nxon8kerN3e5jTTrlCSX+kjEt98oK3/GdZCqbG88xfOb32wlmVF1DQqqSFI0Ny4+WZ8u1inzZ/jpl3qiAlTIvRQl6qvav88TruD73BIdCfMnFnJNRvlz4/kiB7SIyjGbOiARhtWPhYsuStH5sOOfF99FFi7w+8/56frKawRy3uays+B2aHPWzTxJ5KYiK4RXh2MTdHA7xRYeMTKz4ZaEFWdEpRerDpakvMqWxKE3DoVWRoAP01OlScMZLa0/7f7x/8h5H3Y/b8OcGO74Zl8SCoA6g0ZGlNo4Xfi2eqwcSiIqSsHPiSXJTslClZLHpsg9qlBwO9SX6RBDZcWn8OEdGNpZokXMipiq3Fp42vZZGPtT7tC0P1EJU791ML/wWnAHgzp77xOiEFCJXEitwceZRmszoRqrEnnC8SMWev/a4E3fRtN5BSRJ3MYSbeyNxQdg/cJQm0/771lybuZ/kRAnlCaecLpLwPTcBuL3gBKmZSqSAgzqetz6vRZlG5U36DFhwDFVMMg25RnnCOTLnBtlxqcScuEtYqB49Um5fzjTc10kTszgV5ctfB7y4es3YT7TaGXR63guaSNtxlRiyoQs1Pmz3xGux87Y3fe9ZsJvwwC6pCFMIDf2GGh0mZEp5kZP0ZUancHzhHTQIxYXCQvScm7i5SH2IvDhExfCKEBeSbvI+B3PSQp5vE7n1kqF8dPs93r86gq57hL0LdUYOoTtvoM2bndWY0JaWQ71wc9XRdlwlKvRr9NQ+ffs3pMOid7D2dkZhbU7NZjaAHrlEg2ddYwUyHVJ0KjVKe0vqOgj7Gz5m0Vi62fLwQqghO+ojHgYk8E/cW1bEXiIUDrIgiwqdqwAgV5ianuw8bXGu7027ocZkdTpkqDNyyYxMNlxrSaDJUZMZmZTngSOhOndpzlneH5KGc30vE0WrQ4JOITxAPTrXMFStU0jUuDbPn4gw6XasyXstMh5eCMXczRZrM2H27+ygxczeEq1Kg/oxS3D9+mAjSUeCjoHNwlBYm2Pj7UyrRYOo2L/xU6/Jt18DvhmXRDPX+3w29CG1JrQ0XGvYzusGb6P+e4ay6aovW27XoNOS54sJSA+JN8myC5AaUjoedSL5EeMYXhHC9wfwXpcIcvIyrdayfcDvqcNLdIz00HgmVDlGpLqsUNDnQdcSKZCSei8W8zK2SJUyNjX6hfgHmTQcWYsW8wcAgpksZPsNEu7EM/V7GVJ0eFnEGzZpHaXJLL/bDLtKZdHpdBzut5TEwESaTnsLKw9HLv1xiTqDa+HZsTo72s7jxokUoiVumNkoadhQj0c5qNinHm6tKvNT3XX4R9rTvV0mGrWeVcc9cZKlMPdgDcq1e74I4qijt1ndcR25Wjl12zogVUi5fTQWFw8zBvl9TsypYPy33CEnMpHwK3GczKhPmt6W4W0eMOz4cCIP+hO09jI1329NRmQqu6ZdxauKJb02DUAilZJ6L5aFVReg0gmrMFuLXDKy5eiR0HlyfRyrueLdq76hVOnRD7ezaXkGVcvn8uHloehUWrLj07GrVPa5rhOEILpF5YUCPJYKFe8FfoJtCadyn2/3LUlpwrVI0TJiX188Otcq0TFE8iHmSnrdCNl6nUOzr2HnrKDn0h4lXmzmn8Xmv/9fJi1+6PqUM0qWn6suZW+gMFN+u2Yw5WtakZmspsOM1pRpKESSHx28nDPrhGhepUTN52nfmlSDm6OchJ+6Ogk408rjPkTFoNHLkaBj6ObuJhXPOkoOospL8z20ZSgjTxW9zsXjbG81l5unBVdSKVom678zHLu/5Rrj+yagRom1JIPm5UI5GCk85MopHrJG1d/QVp2RQ3/bAyTr7QGYOCiWHmsFJZpwJZTz3+7F3MGCeP84QyrzClXkDL379IytJcmlb7azf9ZNw/sXEXiZGZ3CidFryUrIouFXb+LTu0GJ9i9SIGKupNeNCr3rMa53vRLtU5WWjVQuRW5pRsV2PkgXJaFDhgIVPu0qFqmv2DP3OPPrJTzqOPHG1E6Gz1MCY7Gv4vqUMwXaj/fl2CdZSNHT4ZMaVB+V30smKdiYEkGlV5D9MM1EMbjVLcu+y8Jm9bHIKrQgHimC6Wr3/87jsSGIVt+0wLm+F1VtY7iZVh6Aqq2Ns+hHppFnlR/9ZzuP1hW4edoPAHtbIbAt4VoYV384yC0/Heq8nEYZemvCImVYkkkWlrSsZ7rznxWTalAKADHBxhQezg196H7gAwACl50mdPQh9EioN775U2V9RGpgLHaP/S+uTt9N/I1o6n76Jq4tCh8fUK5dFSSz/PKKL+kp96bgLqvOykWv0ZoUaSouVu72dN0nZjx9FRFXDP9ijk/cyezfzFBINPywwI5aE1pyc8EpLm+4T9MRVQt8MD+J2LPBjGl51+CFM7ZzOP33DOFPl6nEJcoNNYCfhSolC6SSJ6bFjjlxl9UdVpOtUVCtoRX9Ln9hcjw3KZOhZQ4Qr3OiimU4ntn30OjlhOJNGOUBwUV0uX8T5FZmnPj2MOXqulDv07YAXJuxl32ThcjaLtMbU39KtwLluPjdQaZP1SIBpn4vp/G3QmW0m78cIuFGFI1n9ECTmcuiGgtR6RVkYMl16qFFjq0kneYW18jKAoVUy2fxX2LuaG3S/+JGy9h0xQdXeSI/H65jEqdgcr/SstDrwMz+2Q/iaR5LORnlSyOnEGbHDWdft0Vc2S/s3cglGkaffpeyzQuvHAKXncZ/xWWqDqhLjQ/eJGDBMXZ8dBydXkK7T2rSbG6/Qvcl8sogmpL+64yzWk1glmDHb10uuNC1nfd2W0jQsSjsy5rR+8g4bCu6sK3POuZvNXo2lTeLZvbppixqvMrw2WdhHzw1l/7dpacxc7B8pskgIzIRmVJuUsfhcdJD4wnafJOao98g9X4ct/88w+/LbUxm4d+MS6LDonfynbvQaTLxScJC2dlBw6igLzn53nqQSsjCEp0Ouv7Zg0mVt3AtLxahoWMIcxJH5uvr1Ph1HF98z/BeI5HTfGQVGrzXEJuKztxdeoYKfRs80TafHZeGVqXG2uPp9QdCtl4nJzmb6qOfXMAmIzyJ7t5G08+mS+VZ1XKJoR4zwBu93ei4ZSxp9+OY334XYQ/Nafemnv57ClftbqnHNENcjJ2lik8yZxbqPJFXCjFX0n8dX69c4+vqiqe0NHJ58k6u7I0nLVtJ+AM92zosBsCjnrNJO0/HLJwbeFPGUUiG5O6mx9rLiZyEdHYOXM+OAetNMqsuqfIzM8eEMa1PALt6LClw7AvT99NNsofunjd5z20PGZEFe6nY+JSh9oTmKOwtcGnkQ5ulQ/G2M8255NHYrcBzy/galU2Zirasa/grF7bFsHqLJb9vKceCbeWY03AjlSoacyD55ncgAsC1sWn5SVe7bDot7UOZRuUxs7ekxoQ2T1QKGZGJvOe2m+6eN+km2cOF6fsLbLep52pG9Unl/TEqfq5qvG/ZcakcHrCUwwOXkZOQjrWXIy3dhNQXDR1DcG7gha2j6f/cpZ5ggpvffhdHHvhyL9uDxXs9OTd5X8EX+A/KVjcqMCev5zcliby6iCuGUmTv8E2sWwsNKqUx0X8kEmnh9XTA/KPs//wYltZShlz5qMAHkCotm6Of7MHMRkHbuT0K1f+ezn9w9YDRddTWQsXELGFmuKn7ag4ekVLOMZtP9hsrhyX7R+JQ04PgtRf4dWwgd7KEjeTGziHMjh9Jol8EA+rdNRSlsSaDbent89n4h8jWEaUzrkq6lA/gi9D3UWfkoNfoUOaZU/Z2W8jVvQ8xl2t49/hwXFtUIvbMPeb1PkV8mjk93pEZNnP/iVal5uzHm0Gvp9lv/ZhrO40stZJr1CUNQWl4KmNZkdqbo5/sQiKR8Oa8HsiUBW/HHR28nBvb7mNpK+PtrUNxbVGJmFNBfN7OjziNA6O7xhpm5LkpWUjlUhTW5szx+YN9D2oY+iknjWaNdpBJ3+qMHAbZ7CYB4X9rQRarr9fEqa4Xi8tM4WGCDBVyJJaWvPtXCyoPbkSSfxSONQUFkHgzgm2dl5GepKZqew+67B4PwFjL1SZpO8Z2Ci9U5LFOp+PCxM2o0nNp9lufAvcZ0kPjmd5wN/EZFnz6szt1Pmz9zH4f739dzR+JvpdJo8GVaLtyeKHPFSk0oinpVaebZC+ZCOmFF6+2pMqQp/ubP87jJpFmAzzosH5UsWRI9IvgxPenqNOvCr79GxK5/xYru2w25CNq3MOFzjvHP7OfRx47J2mZt2EJEnQcUbfm0LjtzF5muuKYv1hOzfdM00T3k24mXm9UcK3LBNDlo0pMn6xBi5TPJ2TT/o9ezJBMMchXq4Ut75yeWKRr1ul0SPOU5OGByzi3IYI4ynA3b/P4owFx9FwveOA8SsVRFJa3XMHqM4IZyoIs9um7cOb99RxfeAcJ0OX7Juz6/QEn442KoYwknk26vib93PnzJHPHBXIPYf/Bg0hGjdLTavEgvld8TzrW+FHXkIn13VahjDj5bM+rTT3XsGiXoNTNyebPfV54da7B/Y2XCN7kR8PJnXCq6/WMXgpm58D1/LZBWK09yQT3JILXnGft0EMAyNEwSf99sWQQeSqiV9KrThWHOK4l+2ArScOtafUinVu2mgPxZ4WAJq/2BW9cFoYvm54iJKccZtsSWFcjCo/OtRi+D24sOI1rIw8aTOthaJt0M5IlfQ6gVsGI5S0p96YQcJYZmcSt0ymAFAeSSUIwOTRwfED8RU+ubQ0FjIpBihaXuvkLHfVsk8ay407okWJBFsMWN+O3ETfIyttUXrUkhfZ/gK21juQMGTokyJzt0Wm0T8zv9DjqjBxW15xNRJgeazM1/XcOpMP6UdT/XwQyMwUSQJurwbF2O8L3BzCt1w3CcsvSxjuUr/2HPNOLCYS8Q7bOxp9VBWshSPH8En90CPb+s3POM2xFby71jiEbSyTo6NkmLV9fTnU9KcdxrMkgFldSsWX31gSqjgiljKOWgCQvk/Tca0950i8yGSsPIXo9+tgdDo7cjEwppeuWYTjVFlYJ/XYOwXPaAcIux9P8owZ4dqxO4s0I1g3Ygw4ZAfv+5NPs4u0fVGpfHtmGTLTIqVqtUM8gAy5NK6KQaFDr5dgXL8mwSAkhrhhKkdykTK79fprKb9cockZJnU7H7fnHsK9c9rmCgnpKd5GmF1IgrNzthHc3076S/SM5+8VO7Cs4cmhHJqejBYN7DZswFqQNAwR31XlV/wRAg5RY3LAxy+W74IH86fsLGblKQihPBJ4oUTNhUPITTT1B6y7hv/ku7eZ0ws7XhR99l3LwvjBmkzL3+TFuFKn3Yjk6fhtrjrmRrHegtu0Dfo0f8kRzzyNOjFzFyRXGNBn2ThLsa3thZaegx9/vAHqODVtNbmoOZ29acznR6M775Yh4Oi/vW0CvRrQqNQvLTCcpTUG6xIY67RzpubgLthVdDKYfgPIVpQwLnkxqcBxHvzhAzb5VqTyo4NXi0cHL2bROTRBVDJ+VN4tmfnAnJvruITjXOLOXoGN7UA1DgNvvNt8asu66u+vxebsO8SHpdJzTzmBuekT4nhus6L4DAIVEwze64s/Ww/cHkBQUT50PWxV5tZXoF86DHX7U+OjNfJ5cIiWCaEoSeTYXph9gy+/RNG6moN/u/N4pv1pMIj1HmOnel1cmQiOYCWwlaTT3jWPg/GZ4dqzOygrfERYqfEUk6OjxQxPc21RmUbO1hr50QFknLRMSvss3zpPIik5hQ//tqFV6+q/sjH01YfwDo7eYmKf+WmdNpYENn9QNAPt7LuLSLmMp0ZvUIgkh4O/tWsGUIZ57t4SAslvUJBHjZuv4HpH02/n0Og/3119kzaADhvetR1WgzVLhnqbciebw8HXIlDI6bhxRpMyvX5VZxqUE05iTDee8CD9xn/99IzGsGjr4BPNNyGgiD/pz7MMdRATnoNELiiFZ7swNjWC6qmAexbLswfnG2dd9EQ/ORdPko8Y0mNq90PKJvFaIpiSRZ/PG1E68MbXgYzkJ6aTnGD1bqttGkp1iRqbOnDS9Lfvv2RLyzlUWZ1ZnyO3/cf7TzSTdjafGqCb4Dn4DVVoWcokGjV74mkkBp/JFmwVautsz8nR+u3mV7pVQLHuIGiUOkhTKta777Gud2Z2bexeTo1UgQUcqxmRxgSFKIAPyzD3uRJGCHVrklJUl0H5m22f279q6CkrJblR6oX+f7jUNx+yrudP34ufP7KMgvL3h0mOppGwk6TjUcKNs0wos9LrM+WUBuFe15c3fhgOw5Z31pGYpAQUyNMilepS25pAXOxia40ZuUma+8pmPNqdFRER31VcITY6agPlHTSqWlSbmzjZ4V3i0kayl6+R6bNa+w5i+qYY2ap1wXG6uoOXCQfQ89jG+g98AQGlrSedpTVBKhSR2FjYysqzKcGD0FtQZOQTMP8rlyTvJTcmiqPj0rMPCjU581DeGRWdrFyp9iENNDz6K/oKesxoz7txQetR+kHdtOjwd0slycCcNQXE1rZ3FmjPlmTNLw4rot/KZXgrCyt2eUWeH06yvO0M2dsO7Z9Gj2FUpWZybvI8b80+izsjhxOjVlLHMpJaNIKujNJlJ05SGAMHKgxsx7NhwOix8x2BK0+mE5b0KBU36evG1dgaDJldEgeC+3KHC/VempvKDXTe5Mf9kiSY6FHl+RFPSK0J2XCqLy/9EWrYwY63Txp63j3/8xPZaldokxfZzjx+bmi+hniZHze8O00jPUWIuU/Fx7NeYO9uwptaPHPD3QIOCSYvKUWtc/iL0uSlZhmhdnUbL7aXn+GJ8piFJoLs0hsq6IHJRopDr+TJsQoHmlaODlxN6Mhy3ui502jbmmdesyshGaV1wVHVBnP3fbnb/GEAgVUjBARkapn+dTfNZhTelFGZMrUrDlnfWc8cvl/qtrQvcY8mKTmGs90GiNMIegbc0Ah9dCCBs2Pde3I6qo1oYNtofv8ePc3vRCSZNSCEFe96uGczHt0aTk5DOcNcDPNSWoYJ5FH8l90Nmbnovs2JTsSyBpIqPX/PT9n1WtlnJ3yfLA1DJIoJ5D3pi4VJwym+REkMMcHseLs04xN7hm8iOTX124xLg8re7DUoB4OaJJHIS0vO1ywhPZK7lJGaazeDokBXFGisnIZ3dnRawufEcLs88yDCz9XRxu84oi7VEHb1raBd7/K5hfyFRa8+HnjuY5LaMe/65VOI+1biLXJK/qP0o+d90crjIUNk6NDkqpHIZB+cFGpQCQLTOjWhcuUATTmma8V3NTfn6OdxvCWfWRRAVJeHK3nh2tlvwxGu6Mf8EXSV76WxzjrmVF5ocizp6m5NjVpN4M4LsuDSOvL+d28uEUpf27pZYkEtuXrI9LXKs3YWHU+Cy05x5fz3Zcakk3YzkwJgtJvcHYG7lhXS2OUdXyV5u/XHyifL93W41i/d6cjLKl7nrXNkxYH2+NrNrrjIoBYAwnSdZefdMh4xrv51BKpehyVExVLaOTg4XGSX/O18/OqmcFOyFe+jvxl9uU5nt+QcPtYIrcEhOOaKOB5ncn18tJjHH7Td+NpvElR8OsrjxMtZ1WlXgd7Aw7B6ykc5mxxhruZqM8KR8x3MS0ll70rgKu5ftyalvDxdrrKKSFZvK8eEruTZj77Mb/0cR9xgKwLix6cLx3Vv5uQi+2MVGVoCOluZX7rfmHTMokOubg2m3puhDbWjyG2EhQmTv2svZpCJs6IbklOO3fueYkyj487t3qI6T3UYSUxVEScoRneNOcCy8YZeDeWoCdpYqKvQ3rd9weeYhQrSCK2qkzp1jH+3grb/6oVCSjyQcDTEPfslG99Wr03ejzsjl/okIyItX0AOHzllxuewyhnxflRpjTZPKrZt8l6y8OIQj97x5FNkQfewOy9tvQIeMc8sDeWhTkRupPkjIZnbcYRp81Y5am27C1VvESNxoXF9L7feHcX3mXnZ9exmQcGXtXc6k1yVR54z50gcsPSoxuOoeueeNDhlZWLFm0h1mv28a0HXnz5OcnHKU4wmm3l4Xj2Xh8MVuzKwVhoSE8cn5f46PfwNkSuFeHPtoB5F5gYAhWm+u/niIBl+/ZWhXuX99Kn+6laAsT6rZRhETK0WHCgeSScaB2nYP8OhgrB63s996wwQgXWXGlElashE2u8Pf2MjXwUWrzAawdbMONUruZXtydd4ZWv/SI18byT+MEFJZ0dxbi8uK6j+TkCwHwkh7kGRwEBAxIq4YCsD/TIrxdVLBlc9KmsYze+Bg/cjOqqd+J5cC3fUqDW6MUiK082ngmO94YYiPyDG8zsB0jLBUoylBKpcxIWE6o4/0pX1LY3qNHh9VYGLIBD5K/z6fKaNy/7qYkZeVFBU1h9QFoM+8VjhIUoztFKE4Y0x50bBsJACnxq5hz7RrHPw5AK3G+OBIxY5AXWUuxFVkzkfh+a6pVl05j6ydrjLjTm3w5uuGgjAqnYKAVCGwS4+UW/sjkUqlvHN6IlOzvmJx5ruMPD0CiVTKg4NBPHosR6TakqgTHOtzMOf25gBD/8ax9HkymLLv40M8jJMh05na0FUaKdN+tuF/08w5OHarcA0ucVhjnKFXVoRikXcvlRI1bea9DUDNIXVRIHhPmZGDb5+6Jn0r7S1ZnD6YXSE16P+xkGlVip4hrcJYc8SVuQlDTeI+0lKN91mF0qSIkn+4Tb5rKgzNG2QD4CBJocbguvmOmzvbMKJTbF6FQahhHUarmR2LNVZRSUo2KqCIM/m/SyLiiqFAOk2sytFx6eRgwdsNo17KmOaO1nyQPJ3gdZewKe+IW6sqBbZzru/NR5Gfk3InmnLtihYU94gKDR3xPy+kgnaVPCRKb1zSN65kmnNIKpdRrl11hrWuQpXpB7Fxt6HW+M5P7NvO14UFm8uwf+ol2n1aB/dWQvCde5vK/H3fgSu/n8Oxgj11PhxB0N9nCdh+D1tPO1rOFNJBJAYZH+o2Zcxw8lYQdScNB8ccbsZo0SHDRpmbb9whJ0bj+O56IgNSGbLXaL+v9UFrzi25Ta5Wga2Fineqh7PpqlAZrv3XT65W1+Drdtw5swm1XkGjBjrSbkcSnO1BGVkiDT8wZqWdH9mTNV034FHDji6r8s+sFUogFypyH1+3TCKSrGhQLZusTB3k3eqYIEEZjLr3JbW+2U1cZBLVe1Wh6rARBMw/SmpIIjU/amtIe+LeqjK/LU3g6K836Dy9MXa+LvnGlUil2PiUoeF3PbBysyUjOpUG07sbIr4fp5yvBSGBQs4rM3JxkiSSqBdcdVs3zHziPXoaY86NpMvRuzhUq/tEx4CB+9+lzakg0h4kU2nQkEIFKZYEVRracOdKFjK0NJzY5qWM+bohbj4/gYywBNLDknBrVfyo4lcVnU7H1am7yYpNo8b7bVgz9CCBoUpqVlEz+vCAEvdYyQhP4sDH+0mNyyU3Mh5NUjo1e1XkzVX53VBTAmPZ0m4xGpWOXtuHmqSJ3t53HUu2OJCNBZUsIvhqdQ18etZ55gMlOy6ViAO38elTH4WlGUk3I7H2cjTkXnoSuSlZZIQn4lTbE01WLve3+OHVqdozN0h1Gi0Pdt1g55CtpGUrkaGlUR9POm4eY2gTezaY33qdxEyp59Oj3UxqKDxiz7sb2b89F1fHXKp6ZGDjYkmLeX2emsG2OOQkZbCzwx/EBKbh4mPNW6sHc+WPS9i6WtJ0eqciB6m9DsScCuT/7d13QFPX28DxbxI2CKiAoKCiuOree4866qjaWkerrdpaZ221vta2rl/tsK1VW2vr3tq696h7KyoqOEHAgSzZI2S+fwQTY6IgEgN4Pn8RcnLvCSPPvWc8j0u5khQr55Fz46JFbHATrE+VkcWIkhsJk+vuSmSoqM9FnMhk4KpOBAwyrQmhVihZXf1HYiMzaf5pLZrN1VU/G2K/jkiFIWtqGe5T2/Y6g08Ow6uhf677lBIWy4ZWC0hLVNJsTH0a/2icnvv4pJ2smp+Ed3E5E471wLWi6RX5s8Sdj+CL5me4p/TGlWRqcwUZGpztFEzI0qWZODR2K8sWZlGjXCoTQoaYXblzc/U5RrxvWMZblkgqEEExBwVjHn2LrZN9rvskCE8Qq5JeV/f2XWNpy2WcnJK7dMqWdHXhKX1QAN2qn2h0K28SrkWbfc31P48SEaomQ2nHsT+u6r+foDSeD1FgR5zSnSktjvGd/2IeHrv19KHM2j9wJVFRElIy7TjwU5C+Uhvo8il9/5OU25m+HI8KYP3Anbk65sNjN1nmP4PpLfZzT6m7+k/BjdjszKhZSsO/2sIFau4rS7E3NICrf54we7y4a3FGjx+vmkqV23F94bFc9cmSzk/ZyuaWc7i/L9jaXREsQASGIiYrIZ1xXW6x6oQ/X89yYn7leYRtOGfx80afuM3qjisI+fuk0fcdS5qu75ehxs1JQa0JHc0ey7tlJWToxrxLeBqGibo2iH2ilZZSRHOVGoQqyvFfRADj2wZxdvIWNBoNxz5ezb4+f+dp89yTJGaurxRJGWzqs4Z9H29Cq9FwYvIuZrY9zLUIJzIUxlf/NuiW81ZuYBh+quyZBIAz6fi2rGD2vA0ntKGKk672tQwVZYjSP+dQ0ngI7Prfx9jecT7RJ25jaaEbAvm58l+snHWfqydSWNVl/Uv/jIWCRwwlFTFx5yN4t1GE/nEAofhxj16/tKDW5x3JjE1h24fbiLmXRashFfUlL58Wvu0yq0ecoHqTYvTeknOu/g/s1nNP6Y0NSjo6ncZBpqDX+ncp27UW08su5sg9XSK8MrYxTPzJgxojWz13s1rs6VDu7btGzc876PP+azUaDo7ZRkRQIun3Esh4kMQBTTv9klcblLTgFKU81cTE6QJKqYpOeDfwpXLH8vpSpinhcfzT8g9SE5Q0G9eA68fi2HhKt/qsb7MoAlqVYeXcBHxKZDHheE+KZU/63lxynLsHbnIxUMveMN3cR2PPMM7G6ZZ2StBQk6tE441WZkPN0o+o5puGd10fms3vp5/4VaRkcuHXo1R4szKlmpoPDKDbIHblj+Ps/fIICpXutb5+MPTuVCJ3XmX2gIuoNRLc0qNwJAsnWwUTFTlnRd389kpCzqQyaGEL/HvWNtvmyq8HCF4eiJufG+2WDcTRy41Lvx5m4hdqfW6mckTiTwSfnvvghYbyBKsScwyvq5+rLmbXzQCcSKcOl7FDiV85+ChiKhNKLuVCgu7DSIKG76YqaDqts8kxekm2kYwboGXCwGi6re5v0kYen8o/zeaSkaxgd1xDUrW6pY2NOIcTmfoPMYDgv06QHpNO3bEtzU76alRqlrddya2bGvqML0vDyebvJp42p/pitl/TBZ1yROBPJBI0aJGShBtXqKlfrjppWDydF/U1en3cxUj617+t/7CToWLdhUp41jNOC350+CqOLNbtQr5BZaKz937YokCJYZNGKaLp/sYdBoZ8lav+B32/mzNzzuBVpTi9Do81O5GelZRByLxDOJYqRrVPdPskngy2pYihGjdQYIvGqxTF3bSMPdUPBw/Tpaa7Bq3j5zXegAQ3ktmq7WnS5sK07eycfpHHnyGeJVSMfDSTmeUXcyjSUM7OBiUfVDnH+zem5Oq9CgWCSKL3uppwYxgK229RqGT6vwIHVztiTt/RBwXQreXfu/g+TaeZHiNVv79BQlhgomkD4PjoDYTfVgMyGrleR+FSAllWJjzSrWF3cjdMkD4uyrP1vXUs+acYNT1jmBE+CJvsSdQjn+/QF7e5+lUGW0Zl6vMBgW7s31w9hPEhw7Ap9zN374ILuqWV9jIV5Wq6sj+4BBqV4YN269pMOj9VVTTmXKRRTQM1NsScizQJDJfW3uBxgj1/InCyUVC3hooTV131O4oBapRLeWZQePo9KFIy2PnVGdTIiIlLodTn/9J83nv6tksrziI+TkujfuVNCjEVdwd0I01UKJlEaXstwWk+XIn1h1ioPHonvdabBnPd71IX1FIxn9Dw0mJDUACIS7Ah9nQork8txvKySRBBoYgScwxFVNcZTbDJHqd3tlPQael7OHkXwwbjjVbFnrF/qXP5G9iRhY8kmvc39TLbpnhlL5TYkIUdARW0zHgwjC+C+mMv1W2+ighOI/5ipNFrVv3rQJrWhdOxFbm68JT++2qlocayBilodDeoGdHJzCv2NbOK/cDGJj+b7ceAHf3wttcFLxlqOnzThPcuTaLOGwqjdm5OponaaoxohY/EMAnuI4mmxohWJu3sHQ3/KvYo6PDGQ0ZfGspn3xTDCd0Ye3n7KEZu72q2j383WUrnYicZVWylvha2VmN8G/7kz+D638eJjpWh0toQ+E+40bHiL97lWLBuc6OH9BFfBb3D8AfTqFTB8PpSld3N9uP9Tb3wkURjRxady98w28a+mPEQnwQNDt5uDFjakXJ2DwHd/MhnM/K2wVIo+MQdQxFVZ3JXqgxtzqNL9yjdvpp+iOKjLg9ZtMcXLVJKyeIZtMh8Td6J4aOYmMM5bEq6cpZGqJDRqIruwzV8YxBZGt2VtUJry6Uf9tPxH8P6/frlHnEgvDjFpUlU6NZE/32fWp40KnmL9CwZ743x5MHB69xefxGkEn2xmZCzafRIyTCpNVyylh/j02bw8PANStT2xdFLt3t70KrOhDQ9zK0MP3xs4hixuL7Z97EsoQdru+pyiwzYbb7mQtclvdnQdyOZKjvcnBR0WqVLk9Jkamc2fprCo8sPKN22pdmhIEVKJhvO6lJnXEsry74xO9FqoPZ71Xhzcl3OzA/E1l6KRx3D6q2y3WpiN/EoCo0tPuWM84kc/+Ekj7S6q/54TUlCN16hzmdtqFwZqgZdx54sipWsgTnFq5dmrebxBkDzO407LnqXFW1WIFfbAlrqdy2l21znD0vTfXlw8CYedX1FwrsiTMwxvIYeHrtF3JVoqg5qkOMmr+f5pdpidt7QjTn72kaTrHLGXqKkvOZO9rCOlnf/akfAoMac/nwjmfHpNJzejZhzd/FtE6Cf1D05ZTffzHJAi5RKjveZtLQya/rvQosUKSp016wy3J0VjEszTK4+q6RnXGAkMRfuUX14M26tPs/0oZE42yqYeaAJ3s0DTNrnRszJ26ztuBylEnoteYuAQY25ueg4nvXL4tHAdOL16b596rKSG+llsUeOBC1yHLFFwR/rS7Dzwy3Z+a+0dP2qDg2/6wXoJsmjj9zEs5E/h6cexcXDnna/vsXN1YGM/USOBhn2yGkmPYtMq8LORkOGUhdEKla1YdD1vA/zZCVlELr6DCVqlXnmLnyhUBKTz4JlnZ62l6+n26JBhhPpZKDbMV2jWAQdGiRToUd1an7WgaXlp3Mve0TJ0UbBuLgpRjmW5tRYzPYQwwf2qLYhhBw2pMZo0scHN/8S1Pqioz4t9Nxai9l+1Z+GnhH8L8IwV3H/wHWGd4pAjiO9a4eSnAQHsydMP2gVzodHTXdb58aW1nO4ckw3BFS2nAQHdztuXc5ChpoP9/ejTEdddTRlRhZLyn9HTJyUSjXtGXBlMqBLqX1+znEehacwf5PhzuDDthGEHzYMtwVUt2VgsGGOIishnY9K7SJKpdtk165cKN9EDCPotyNc3h7Bw8AoslJ1Q2QyVNnzJVremlrPqF63IGQTG9yE3Hl47CZnvtxE7Nk7L/S6ptM6s/qoH0s3u+PjkKT/vo+Hip6HxlHzsw6o5EruRRquKTJVdtxcarzXodUH/kiz1/vXdI2g0YSWyLIf20qUNJrWlSaz++qDQmJIFFuvBqBBxtm4igQvOq0/1q2dN5Gjm7S+csuBWs10E6xS1NTs8mJ1tZ/k37kKj6+Nyjb3JTo7v5EaGZE7DZu8bi46nr1UVsLtqwoSQ3S5tpxKu9N6dnfafNsaN4kuwDiQSZsJDSjhakieWP2Dekbnvbb8nD4oAByJ9EctV1LnszYMPjQEbw+V/jlnRw2DN3fn46P9XzgoxJ4N59iXO3K9SVAo2sQdgxnKNDk7u/1J6sN02s3vhe+b5sdri4JT4zZwYN51QIIEDV2/qU+DGaYfKpe+28X5389hay+j7Zy3KP+28QfY3T0hrBhxGkcnGL7VOPfPbLsp+iEOCRpGnBmMV+MKJq+POnePeuNbY+fqyMNjNwnbcJFqw5tTsk5Zo7ZquZIhrpu5ryyFM+msvFpHX2EtMzqZb6tvIiLJnTFf2NLqp+6EbgjE3t0Jvzff4NayE2z6/CQP5B7UqSeh3+ru+iGtx1LC49g/cBXHLzkjc7Bl+K/VqPZhU+7vCyYrKYOK/Rpx5stNHPnlEq7uEoaETDAEreD7LKj5FypscLJVMD5lGjZPFcR5FHSPS4sCqd6vOj6tKqNIyeDqnIOUalQe3y7G6bljz4YzoEmYfuWUn200KxWGJIFJN6PZ0WsJygwVnRb2Nnl9+JYg1owPRJ4locdoPxpN6cTTTn+7h6kzZSixQ4qaKWNTaZedybUourfvGuvGnMLTR8agXf3NrnYrwgr+UJIqIwu1XFVgygw+tqvbAgJ361ISFHNQ8HlmzpuGCqufbKeQqTJMbpp7v7dWnGTdkAM8/puykagYEzZWn+3TnMzoZOw9XJDayIjcdondQzejkGtoMqYBjb9/26jt+SlbubE5hDfeq5WrIvRajYYFDZZy8oorreun8snZoTm+BnTj/lNsZ3OWRvpNcdVdIvk9dbBRu3nFvuZymj93smsSuEpS2KLoluvsn/82nk34hSTK1nLl3cCJZjOaPu3M9L2cWH+fpr1L0/w745VNJybvYu38R7g4qPh0SX38e9ZGo1Ijj097bsW11PA4BlU8Q0r2/hIpav5Y7kzVwU2M2g11XMOdJ9KW+NjEsVb5Tq7ea2E0zHGNPk3LJ13v8d6uglWPQZ6QhszB1lL5sAr2PoZDY7fy63xb5NjTv/k9hp7I29ivJciTn8idkw+laLUaDSvbr+TyZS1d+rnR8c/eOb/oFVGrJU89Nm0TvPgcT/49qbQ23Fh0gkaz3jZpq0yTM7PKao5HBeAle8SM5X5UGdSIT59R/zhswzl2zwoCJNyZdgGPOr451ko+NmkXGy/p5g3Wn/Oi8W9H8O9WlV19lqHVaOn27xDcq5nW0dCoNERTSh8UAELSyhF3PgLPhuUBiD0fTmKardHehgytI1qVBswEhsSQKJb3241UCkM2defurqtcO5cB2HHzkpxzkzbTZHZfk9c9KXzbZaZMs0VDALtnafi7ViAB/Rron2/xfTdafG9oH7r6NJuG7EKutqV0aS1Dbv6f2avey4vO6YMC6KrAnVp83SQwyFXGdzS61UgFx7FP13J1w3XK1Pagx8ExuQq0z5OmNHzgpierntPy1dvU4ldCTiYjRUPbMdX1+1peNavMMagVKn6db0s6zqixYfVJf+7uLjjJuNovGYC3lxpXRwWdpjd76eMdm7iT5UfKcynRn+8XuhN1pOCM477RzjhzaK3u5UzaxKXaE4UPyic+LD3rmR+vPzJxN8ejdB/aseqSLBwTYrbdY/FBDzAEHQnxQfdz7HNmonE9hoxHGWzpvIjbVxWEhijZ/PQutmw2DrbUq5Zp/D2UbOu7kpSwWFLCYlnY5yDnaEAGDriTiAOZ9Kh226Q+8mO/d93N9pAAtl4NYEHnHcgfGdcvkCdmmn3dk2KCHup3Z2uREh0U89z2+8bs0n94R0VJOD1xs9l2PvV8TL4nTzWtZdG7h/HVz9vtXk0529x4eOQGhxfeIj7RhstHkjg3yfx7fRGfT3clwPE+Tb3C6Lvk2bVFXrW7Oy8TfDIVLVLU2HBkfghqRT5cmeaBVQKDVqVGgfE/WmZCwUnE5V7Fm09iZjA+4zvqTun20sfLTDZstNIiNfnwsKae/42ly+Ra1GhejO4zG/Dmpo+Nnl/daQXrL7/BLSpziTpo0VK7jTv+fRuYPV5mivGmMrny+cMvdSa9iYe77o/fs4SKWl/knAqj7U9daOoVhg1K2vrdxr99RRQZhis/hdzMbU+2kUEf071aKFLU2JFFVW7w4K6WDS0X8HPL7Ry+F0AGzsRRCjsUDKx2iZFBw595vAy54U4qIwPKtK+Kr59uLsXbS02Tn0zvqp5W/4s21C+hm/iv4x5Oo0nm81c9plQaj+oqU+Rm21XsW48hbSL0CQk9iSXmciw7Os03atdn00B+mJ7FoObhzJyczvv/DTZ3OKvQ/a8Yfsa5CbQ5aTSlE4syBjErZqjZOhjWongqGaEaKRqV5hmtLctqcwyrO65gyX+6q9OWPqHMiHrxurKFhSIpg1k113IlyoMujRMYfuoV1JDOgVquZPv7/xIekkHTvmVoOsP8ldPHTqu4nWm4O5i3QEbNTw31gmPPh3P8s82UaVaOJrP7knY3gbGV9xKeVRpbFEz7WkWzmeZ3Az8pPSoJ52dU+noWZZqchWX+R0KKLY42CuwdQSqR0GNVX8r1qGPUNishneDFZ/BrXQGvxv7Mkn6NUmu4OLGRqDhDY9K0hjQRJaSJbFK/TezZO0QdvUXVYS1Myq1GbL/CnPcvotZCYqYTUSovarpG8MuD9154UjMjKumZ1c6edP6bbez530W0SHGxV/DJrc9xKVuSoxN3cPtUHD1/a6cfGgMI+fMoa0eexC5717uro4LxGebnzQK/3c6NjcF4Vfek3aohJhPn1rCp2S/cOpuIV2kbBl390qScbFGyqPRUoh7qrtfrdihBjwNj8vsUBX/y+cGhm2TGpxHwrvkdqYLl/FZzMduCDXsHpo5Pps2vpgnV/qi3hI2XdJOwJaSJrI3rZLRYYL7b1ySk6D48+i/vQOXBzVHLldxaF0iphmX1q4UsIeinvWybdFb/uNXgcrRdPsSkXWZsCiP8dnFX4YMtCn78xZaz3x8mJt5wN+PhriKMClxKMmxWa+Rxh4GT/dj6xQm0SHG2UzDq3pf6ndVP2jXkH35eYRiW+/lHNfW/bJ9P79RUYvB94s5HUKF/Y2wcbLmx4gyfDtHdOdRyjWBu8hB9W3lCGnM8f0Ch0f2eqtZ1oN/FSSbHPP35v+yfc03/uFINOwZcnWyx9yCYd+ef8zh4uFC6XTVLHL7g72Mo066KCApWcjiklNHjQxvizLb75MQgRvd+wIAmd5h34A2TFWRqleF6QZk9fi1zsKXah00tFhQyY1NQy5WUauKvLyYPWrwblzfb/sJvx7mbXflNiR2bZofRe+eQ7P0DWoq7KOm9bRATtzWnukskUtTUco3gi51tOTr7HPfwJQZPUhX2BM89bPYcZRv76Ptii4LSTfxQyZVkxlpmvL54DV8qf9hCf0WvSDUM4WWpjIfvHEq4MPjAQKo3caFJbx96n/jM7DGD1xvPB4WHFJzh3ddJhXcbWioo5JrIlfSaKuWQREqmYcWKm6v5G0IbJ3v6bBr4zOP03vAuRz7fgU89b6qPbpfv/Xza2s4rWbKvDG7SVH5a60uf+a25svgcAd2rUe3TNoAu8d7J8RvxrF2aOv/XBd8mfkiI169GehgtRZGUwZjk/5kc//dUQ43ve/uusSu6PlnohoSiSeCj7OAT+MN/PLgcR6e53XD0cqXmpy35X9RuLuyIovWwymQ8SGS280oUGhvqvelB972jLfpzqTW6FeNOrOPWxXT6/drY5PnS7arR9/TzP2xkbs5ceVgBFTZU5A5+DvHPbS8UXWKDWwF3eNxmFs1XoELGez0zc1U0JzdurwvkswExZOBMcRLp6n+dYXdyV0PAWjQqNZ1tD+rrH7xZMZT/CzWdm1rmP4O7Ebo/177zWuDg4cKcAYFE440z6ZQngjfqO9Av8Ev9azZ2X65rv2OI/nsLGizh3wsVjY7991oXMuLT+Wys7vgdyocyJdy0DysCZhIRpruDkKDha+W3ud4HYS2zKiziQLiuAJEzacxd60nF/qZBJi82v72S9dscsUHN8DF2tJ1bcJZsv2YK/lCS8HyKtEx+mufIQ603cVpPFmwtzcMTofly7Er9G9DO/hStOEZtruBoWoEzX1369TBDHdcw0mUlkTuv5vwCM6Q2MrztEvSPS5czf8ObkWxY4pccGo/UVoYn8dQkmAqEI0WLVGr4/5jh/Qd/7CzPHzvLM8NngeF8Zv47pLZSHoUa6lM8Sjb/Ye9e1pB51MlOleegcHfnZea6TOFXxylc+fVAno6RWw4Ohp+Jl31KvgWFhydCWbC1NHFaTx5qvflpniOKtJdfXSRYjggMBVjM6XB93h/QFZG58e+VfDt+zyXd8S6pxK8sdNs4JN+Oa85vk6O5Iy/D9fSy/D087zWof9hXjz51wvi4y10G7jI/xNV1US+8S2moWs+BRj/2xr9vA0r7GG547SRKWv7aS/84NM7d8HWsYWK5588tKS5J0j9u6RNKxb71aP1jN/rWC6NZqTBGL6pjtg/ddo+kQRcPqtRxYOC+vO+s3Tt8M0npdqTK7dg/+Uiej5MbH23qRruyoTQseYf/W1Ip3457498rRhsG5TgSczr8Oa8QrE0MJRVw/aT/EKvVrXZxIZWNie0L9HI9jUbDydHryYhJo/mcPriULQkYpyFo4xfK1Lv5uzxZq9GwvttqTp3UUq2yimGHBhhVgNOo1FycsYv0h8nUntAR9yfWr2/quZyF23V9G9HjAX22DdE/l3wzmtM/n8DNx5nG33YyuvLPSspga4ffibmVQoXmPnTd9elL78p92hK/ady/r7uSf3KZadrdBPaN34NrKUc6/N4LST6fNz9lJWXQt/hB0tDNaXlJYtmgedfKvXptFfzlqkLOkm4+ZGGnzSgUEoauaUeZdlWt3aXn2tZhHkEHdUMtHu4qRiXOBCB0QyB/jbqCo52GMds6GK2zzw97h2/kx8Ue+scDmt55of0iWdmbi14k6G5q9gvBp9P0j9sMq0DrRfmbdyf27B22vb0SlUJNpz+6U7FfIwA+L75Mv7T2o/aRBWpTmjkPDt1gycBD2NlpGbG/N+5VTHdlC69Ewc6VJOSOexUf/i9ylLW7kWsPr8RDdnqHhCTD32BAvwbM7md+t3R+CLuQDBgCQ1joE6m+o5PRarT80nQjMQm2DJ9VntpjjCvXPSsghMw/yMGvDuNSwpZ+p8chkUr0ieviQpN5/F4Boi9G5d8byubVuALDo6aZ9ivJkAsq5ErByvdjTpl2Vfn2YcG+qBEMCu79p1DgJYY8YF6xr/lO+g0HBy4FoM6Q2jy+uaxU59VlzW3xYYC+pgNA67dcyYxNYazbcrr6XOJT/z0cuhtASFo5fpv4AI0m51QDWo2GPRMOkZhmy727sMB/NrN9fmO+29dkxiZTpduTK5a01BhiucD3tO51dDmlpKjpOkQ31Lh94Hp6SHcwqthKEkPyP0gJrw8xlCTk2Y5O87l4QLdKSIqab7QzAN3wR0ZUkknNBksL+fskZ1ffolobb5rO6MKBkZuZ9adpwfriJNBAcpHef79J1WEtzRwJri0+xVcfx5OltaUGIdmlSg3aj6xMiz/6E/jtdu4dCaPqoPpU+7iVRd7Xs4RvCcK5tBtejXVDSl0ke5Fn77kY2jGSQfsL9vCSYBViKEmwrOJVPCE7MDjZG67Wny7C87JUcmWucvZU/7g51T9urn/sXcMTsu8iJKgZ1OIuVy8qcMxIQKm15dzso88MDLtmXyNZq0sZonRypWY9GVdPJPP4/6p4dd3kdYMZPXiR+wS1XPnMTK0vyv/tOkaPS9knEpmlG7v3qeJq5hWCkDtiKEnIsxbz36PtJwHUaF6M9w8b19OIC4xkfbdVnJyyO8/HVyuULPGbxneO37Gg5DfIE9LMtgtbd5bFvtNYUnY6kduD9N/3rOVNm+JBVLEP5+uxqXx0/EMGTy2HA3JAS5Xe1Z957qa9fbKTHyt5f2pFeh8fT7sxbxBv70N68dKUrOWrbxux/Qozyi5mqu9ibq8LNHu8rIR0JpRcSkfH40zzW4xG9ewMsDk5P2Uru7otID7QeMnnj4cbM6h5OJM/eUT7+TlndRWEZxFDSQI/VlrMgdDy9KgZwdgrL7+MVJGSyfsldhOr1i1VnTQsns6Lnl+sxpzguf+x6TNDfegOY6qYFC6RJ6Txq8cP+kyp9jIlE9KmYuNgyxynKaRk6nZJB1S3ZWDwV+wfsYk5fzlTxiGe3250xqWcB+akRsbze9U/yJDL6PiJP60WDmROjcVsD9HdRVRyvM/fGYNQy5X0d9lOXPZ7dZOksCG+vUlOqUNjtzJzvrv+8ZzfoM64Ni/8Mzk6fBVHFutSdDvIlIxP+Ao715dfvryu1g/cvppJuQBbBt/++qWPJxRYYuezkLO4wEj2hgagxoYtVwNIv5+Y84tyEH3yjj4oAFw5mpSn47hX9ebJ6xH3qqVM2sSeCjNKn52ltiXhqm5iNkNu+POODk3nb5+pLF+sRo4DYXJfzv58/JnnvvzzfyjkYIOaHYtjmOKzhKuhhn0RMXLdyqSEqw/0QQEgWetK9Kk7JsfzrGpoI0VNyapeJm1yI/JopP5rudqW2JNheTrOk9LvJ3DrahZapESEqk3uRITXjwgMr7kStcpQyfEeoEvX7Oxb3KTNqW92s3/EJtTy3FWT8u1YlarOdwGQoaLth6ZV4XJ1nDdr0PWrOpQtL6HtiEpUH2lawKZMpzdwtjNkFnV1VODVUDcZ26hfeSRokKEiLcuOh9FS7NS6/QrFJKlU71fjmecO6FcfG4kKJTZcVNfmVHRFwrPK4Ewatij4qJ9uWMuzYXn9zw/Azy4a306myepqjmzJVyMS6FA+lBlfZeH35ht5+pnU+rCePouru7OC0h1zdxyVXMmxEWs4/802k+ecfUtkZ5rV/fxK1Cmbp74JRYcYShJQpsmJ3BWMf8/aJhOjh8ZtZeY8dwAGNrvDsJO52zSmSMog6PcTlG7sh29Hy6YQTgy+z9Exm5DaSGm94B3cKhl2NWclZfDgv+usemcnoEto1+fvTpTtUJli/p7PPW5KeBz3/7vBuI/lqLIrDi7Z6IZv+yrYPbHvIfl2DDtG7kWt0tJ9fkeL1qAAeHAghJizEVQf3TbXG/I2Nf+F4FO6YNZxbFWaze1n9LxKriRy2yXKdqv1wgWGhEJF7HwWXt76bqv4a7euglvHCqF8FVY4K+0dGbaK27vDqPNhHRp+1+uFXntyym72LYuiWVd3Oi9+8bmSgmB5xRlE3tH9Czfo5km3nSOt3CPBSkRgEF5e+v1E5rXeRFqGhNEbWuLTqnKOrwn67Qh75ofSqGvJl14do0yT80fT1dwMt6PHu450WfqOSRu1QsWxSbtwLe1C/YmWq5r2PFdm7yMtKpnGP76NzM50OeqRj1YS9M9NvPxdeOf0+Je+Kj8xZj2hu29Tf0xTan7WIcf2D4/dZEe/tdg52fDO0VE4+5ru7xBeC0UzMGg0GsI3nKdkvXJGidCKqsSQB6DVUryGb86NC4DM2BR6lzqpzwq7dGtx/HvWztVrU8JiiT0dhv+7DfQfrtsHrGfOOt3vWYqadWcq6Dd0Pba4+VLWnNLtnZg5OZ0Ws7rl19vJlXNfbWHP97qstzWaudDn5BdGz8eevcOfTVby+H+yeX8/OqzVDcmpFSpC/7mIT9PyuFbM3YR05LZLLO+1HQAZar6I+cJsudGCKCH4ARKJhOLVS+fcuJBLvhlN7MX7BPSrV5CSHBa9VUkajYa/vKayesBe5lddwI3Fz15VUhQcG7GGeTUWMa/mYg4OWpZvx00JiyV82+WXWkv/LBqFGvUT+YOUaYrntDYIW3eWeQG/s+b9/fzpNV3fN4Xc0EcNMlSZphPgUfcM6S2iQoxXVUWfDOW/UVsI3xL03PNf+GE/F37Y/9w2EVsucmLUOmJO3jb6/qOQaP3XSfdM91qoMxU8+f+oyp7E16jUfO61mhHvZ9A/IPCZeyCepkzL0n+tQYJGYYHfo0pN5LZLpITF5tsxdwzawDs1b/BOjWvsH7Ep345bEF1bfIr3qgbx8YA0vvRajjYXKVgKkkIVGKL2hRD7SLdZW4OMwF+O5ctxlWlyNr69hs191+Z65c2rcHHVNXQfKBIu/Zs/BXoOjdtK34AgPuqVyAjXtaRF5m/5Rmff4nw9MYuGJe8w6u0HVB7YMFevO//TEX1AeZRsS/imCwB0W9idVmVCKSWL5+POdyndxnQoa8jCJtQvcYe2fqF0nd9V//1z3+3ngxZ3+G5BcYb2TmD7wPVmzz2v6gImTLZjwmQ75lVdYLbNfwOWsqL3dg4uuMVfLVZz6btd+udazn8XXz/wLKGi40LToTOfNlWp39kDB5mSMmW0tF6o24sR9u8lriSXByADJ/bPvpyLnxQEDGxC47e98SqpotPEWvk+LJQaGc9c129Z3ms7vwX8walxG/LluJv+1aBBhhobNq8qOPWkVXIl+/r+zd63/0KZJs+XY+7+5Zo+PUngowrcP3AjX477qhSqlBgl65fFVqJCqdV1u1TNvK0Ff9raHutZfrg8AIrM9by3K39TJ+dVybJOJN/QZc4s6WOfL8f883eNvjTm7Uw/do/ew7s78vf9tvqpO61+erHXeNcvzc0g3fp/GSq8muiGhhy9XJl+//kT3mW71uDnR6ZLT1f8EI0S3dJLLVKWrHOixxrT15+/7W726yedWx/O438XLVKO/3CaulN0Q1YuZUsy9O7U5/bxrT2jeOup7/k0K48zZ0lHtxmuYr3cDwd13vxJrtu+qGOj/tFvDNQi5djvV01WMeVFgE86kdnbMALKZj2/8Su0r88iAnfHAZDV8y96Hhz30sesWNMZsmOBqyQFj7qvNm/YyypUgcHRy42BW/twdsZ+PKp70WZZ/tQ/lqcbbvMy0wpOCuN3T4/nyLDVaNVa2iwakC/HVGiNJ0YVcuvd4saeDkWr0VKqeSXaLH4fiWQV0Zce0vDLthR7YkeyKiOLkCVn8G1ZgZJ1/HJ9fIXa+Ib48QXF01rXS2FNoDeS7K/N0WgNQ0FaQKV6sSm3R0F3iT5+myrDW+nzPrmU8+C3Dd7s/ymICnXd9LvDo0+GIrWRmcylvCoqufH/gFqbq2HpHE0I7EfV4duRyiS8tTh//p7zg+KJoTlFWv6MGPRa3w87x43cDUmly7cNcfQqXLmrCt3ksyWk3U1gaffNyGQSPtrdF0fvwjGRlxcb317DH1t16+w9pAn8eb4BHvVe/YamU+P/4cBv1wBoP7IKLf7o/8y2E0suJTChAo5k8OcOP8q9VTPH4x8espyNK9K5hiEf0vstw/no2Idm24dvvgSAf++6Zp/f0moOV46nEE9JblAFKRrGDk6m2/KcK5FFbg9iVc/NqJHhWULFyEczn9n2v1FbmLXADQlavhmfRptfe+Z4/PwWfzGSxQ0XkaXRBbDGvbzpvMVydyjWlhGdzI6uC9GotXTfMVxfdbCIKpqrkoSXd2fTJaKDHlLn02Y4lXa3Sh8W+07jwQPd36iPt4aPH0432y4jKoluZYL0j0f1ekDfLeZrPT+mTJPzQ7FZaJCRjCtpEheGTClDs5ldn/u6nJz/Zhsz/ychFd3VnwNytqe2yXHp6Z5eCzm3LUb/eMKDcTg/4+f+tc8STkbr6jy0LhPKtByG0SwlPSqJa38exaOOL/596lulD4JFFL1VSUL+qNCnLs1mdrVaUACoMaAmumsNLTXee3aWU6fS7jT21OUDciadRh/XydXxH//1u5FCgCzipYMCQMOZPSlm8+TkpBaJNOf/s5qfNEeGbnimlKf6mUEBoP17HkhRI0VNuwGmuaFeFefS7jSc2VMEhdeUuGMQrOZR0F20Gi0e9Z6fS0mtUHFz5TlKN/fHvVruagUf+3QtJ/66jlSi5c0ZTfUTxS/r3Hf7mf1tGgqtDaM/UdHxz965el3S9SiiT4ZR6YMmZjfAPSn+4l0kUskLzacIQi6JoaSXEXPyNkk3oqky1Hwhl6IkIzqZsPXnqTSoMQ4exZ7Z5uJ3e7B3d6TeN11z/HAryB4cvMHR2edw93Gkw5xuRnmPQJdf6dT4f0l7mEq9ie0o0z5vCe8KArVCxdmZ+8lMyqLZlHbPnD+Tx6dyY/UFqrxXt0jPsT12bclpSlT1xLt5gLW78qqJwJBXd/45z+p+O9EipWYLV3ofH2/tLlmMSq7kN7dppCvscHVUMC5tJtKndmmm309gQYVfyFDqljB6e6n5JGaGNbr70u5susSovtH6ndl1i4fza4LxhPQfJb4hPlG3gkmGmoEbC++QyuRSSzgTq5uz8LON5s87b5pk0NVqNHzisobbmX742UWzLLlPvlWZK4iWtlzGqhP+2KJgwYaSBLxbOH+3eSTmGPIqYmcw2uwfTdTVR1bujWUlXYsiXaH7wE/JtCUz2nS5ZuD0XfqgABAdKyNiy8VX1sf8tHP6BX1QALiU6E/oPxf0j+/8c14fFADUyDgz/cAr7WN+Cd8SpA8KAPeU3hyfftCkXWZ0CqGZupVq9xTeJF57+Mr6aA2Xr+o+G5XYcWNn/mwcLWpEYDCjwfS3KOmmxEGmpPnEptbujkV51CtH1XoO2EqU1GzhZnZi1NbJzvR7roUzNbOdvekFk10xw3uxcTHdSCizl5l8rzCwM/M7snMy3cvhVNqdQS0icZck07demFWWL79KAyeWppQsnlpuEbSe3s7a3SmQxFCSkCNlmpy/fP/Ho2Td8EKlmnYMuDLZyr3Km5jTdxjV4jKPNLrhlE4VQpn8VCrx5RVnEnlHt/HPTqpk6IkheDUtnGPRc2stZutVXd9ru0Uw+/57ot7C603MMQj5R6PRELriFPYlXSjXow6Pgu5x7Lvj+NX3osH/5Zz2OS9C15zh4Bd78KjoyttHP0Nqk7cr95DfD3F85hEkQKuZHfDrXIMLc0/gVtb1mXWXg+f+R+rdRGqOa0fk3hus+eYGWqD/N5WoNbpVnvqhUalZ2noF4WFaBv9SK9d5pF5U0A97iL1wn/pT3qRknbJEbL9C5qN0qg5uXJCyfArWIQKDYBnp9xMZXO6I/qp7wgexdFuR8w7gFzXXZQpJ6bphrLem1aP+1O4v9PqY03fYMOIQ168oKUUsEnSTyaOCP6F49dxVWUsMiWJgjSAy0a1cskHJoFpX6LKw5wvfRZyZvpfJ03RX69Wc77IgLX9Sujzp0ODlHF+pS0hkJ1UyNvJzUXtBeJKYfBYs49qqQH1QADi+J9Ui53Es9ng8XEsxf4/ntjXnyzZn2XIlgBtU4yG6/Q9qZISuz116a4Dr6w1BAUCFLeevOLCyzYunQXcv766v11y8mGWy+N7ac0f/tUJjy+1VZyxyHqFoE4FBeGGVetXAmXT949r1LbO0sf+ZMTTp7cPbPzWl8gcvtghArVARpTAEk4zslUgSNJTr+uyd1k+r2LUqNjz5Ia7FhTQyFDaoFS/24V51cBNm/6RldO8HTD5jmRxIvvUNu6VlqCjfq45FziMUbWIoSciT8C1B7P/hIn5vFKPLkj76seuwdWfZN3onWi10/K2r0Qd6QvADbBxtc12p7GWteXMFy/aXwVWSRl3bq7jI5DT/rAGNZr1YudETX+1ixW+JKNQySihjKa5NoG4nD7rvG2OhnhtLCYtFnakwquJ3c+VZ/vrsGlKJlk9+r0Wl/g0A3VzQ0aGriL8WR8P/a0f5twtXumfB4sQcQ0EXuiGQfT9dpmZ7L1r99GLj5wXVbLsp+j0PDjIFk1TfodVo+LHyUvaFBSBFzQdt7zH40JA8n0Men8rZyVvxalCWap+0fm5bRUomti72+TbpqtFoUKXJsXN1em674L9OcD8wmrY/dsG+hHOez7et3VyCDicCEspXlPL+rSlIpVLes9lIjFp3R+RrG8MqxcvXSygIzny5iciDoTT4si0V+zWydneKIjHHUJDJ41P5vP9DNl6syNTZxbi6oGiUKc1SGlYOZalt0Gg0nJ/1H/vCdBO1GmQsP1yeB4du5vkc6xrM4cjiO/wz4jC3lp14bls7V8d8XYkjlUpzDArXl51m3Igsflzswc/11+X5XFGHrhN0OInH/8sRYRqCZu1Bq9GQoDbk949XFq5c/88SsuAw+2YHc+OinPX9dyCPt8zclZAzERisJDMmlTSt4Uoy7kbR2GFd+00vHt9c1m5XAqlUStJ903/w5PCEPJ8jNeFxHWkJj4IL3i7d2OA4NNllSh8+yvv8S2q4adnVtPtJSKRSBrWLAnRzJu+/GZfncxQkSTcMqclVWhmZMeaLJgmWJ4aSrGhl++VsOlyCWt6xfHNtgEkyt8LqycpsoBsjH1r5BPEa3bLJSo73+DOpPzK7vBUQvLnkOP9N3I97aUfePfcFtk75U/Y0v6gyspjfaBX3omQM/6Uq1T7M2+55tULJPPdp+jKb9lIlI2+N1c/RRJ8MRSKVUqpphXzruzVlJWWw8o0fiYvWUL2tR76U2BRMiDkGoeB4FHSPA1OOYO8ko9OcLiaJ3ATz0u8ncHL8JpQZSpp89xYl6xTtdBWCxYnAIAiCIBgRk8+CIAjCixOBQSjQ5AlphK4+TXpUkrW78tIyopK4ufocWQnpOTcWBCsSQ0mFTFZSBptbzyPpQTrNJ7ek1hedrN2ll7JryD/ER2bQe2k3ivl7Gj13d/cV1nT/B4XGFhuJij5/d6LqsMJZUe/a4lNM+jiBNK0LJaWJ/LqjEmW71jBqkxIex6GP1uJWzo22y4dYp6P55OIvh1j3fQR+ZTSMOFp0FlYUAWIoyZyE4Ads6rOGM9P3WrsreXLw/RXcupJF7CMbdkw8jkpumZw7r8LRiTv4eYUXy4+UZ377bSbPHxqzDYVGt9xTpbXh8P/tf9VdzDfLJt0gTesCwCNNcdaMMc1htLn9n1w+ksSxFZGcmbjxVXcx36gyspg6MYPARxXYciWAre9vsnaX8uTC9B3s6/M3icH3rd2VVy5v6wULKbVcyZi6J4lSlYHN8GXkv3RZ+o61u/VC1Fkq/dcarQStSg0UzjKMijRDUMtSmD6vUWmMH6sL702rSmN8oaZSmWmj0PD4gk6RZuYHUkhoNVpUWsNHiyJL85zWBdORj1ZydFk4AFd2/Mn4lGnYFOFyp097re4YYs6EE6Uy5Om5dCTZir3Jm3ZLB+Lrq6WYg4IO42sW6qIr7eb2YGiHSHq8EcrorR1Nnm8xsxMy1IBuI1fzL5u96i7mmwFf+mKL7sPeiQzenVnTpE2vrYMJeMOWuh1K0Hxu4bpgeZKtiwOTxmdRweEBrX1DeXtpD2t36YVFHInQf52htCPuTJj1OmMFr9Ucg1ajYaTram6kl0WKmplfZ9FsZldrd0t4jqTrUYSuC6R8j5p4NPC3dndeSlxgJKHbr1Gtfx3cq/lYuzvCc5z/Zhu7/3cJkODurGBMykykRaPIkdjHYE5WQjoX5hzFp15p/N+uY+3uCIJQQEVsuUjcxXvUHN8ehxIu1u5OfhGBQRAEQTAiViUJgiAIL+61WpUkCOYk3XzI8h5bAPhwV1/cAl5NISFBKKjEUJJg1jSvPzgeVxV3kllwqk6RyeBpzjuSjcSjK3rjQTz/avtauUeWE3P6DiObBZGEGy09bzAtdpS1uyS8WmIoSci743FV0SAjgRKsG1I4NwPmxuX5R/RBASAeDy7PP2Kt7ljc2sF7SaAEGmQcj6tq7e4IBZQIDIJZ7iQBuv0DNdsX3aGVsu0qY4Nho50NSsq2q2zFHllWrQ5eSNBtOHv8OxaEp4mhJMGsuPMRrB20m1qdStF2fh9rd8eiNvVczprtuvKYA3uk0GfbEOt2yMIOjtxI8MFYBqzuimfD8tbujvBqieWqgiAIghExxyAIgiC8OBEYBEEQBCMiMAiCIAhGRGAQihStRkPa3YRXdr60u4/QaApfWmlBeB6x81koMpJvRjO+9iHCs0rT1i+Ub+8Os9i5NBoNy8rP5P49cLFXMPTyGNyreFvsfILwKok7BqHIODhFFxQADt8LIGzjRYudK2LjBe7f032dlmXH2SnbLXYuQXjVRGAQiowytUrqv7ZHTsnqlqt5UKJmGaTZRYQAPGuVtti5BOFVE/sYhCLlwMjNBB9LoNPYalT/uLlFz3X972NcnHeCsq3K03LBAIueSxDyidjgJgiCIBgRG9wEQRCEFycCQy4pM7KIDwy3djcEQciDuMBIVBlZ1u5GoZHnoaTYs3fY2msFyiwNb87vRsDAJvnfuwIibMM5/hmwHYXGluIuSoZe/xxn3xLW7pYgCDlIv5/IpGrbCUkrR0lpIj+s9SOgXwNrd8tibq05z8IxwTjaaxi3tR1ejf2fbmLZoaQd76ziYbSU+EQbtg/bkdfDFAr/jduFQmMLQGKaLcdG/2PlHhU+armS45N2cv77A9buSqET9P1uzk7ajEquzLmxYGT36F2EpJUD4JGmOMvGXbZyjyzrx2G3uJToz6noiix852Cej5PnDW4atZbHwSf3Nx2Fk1Zj/AY1SrHT9UX9VncFO28EAPDpqVW8u+N9K/eocNjd/U/O74wF4Pb26wy6PsXKPSpc1Erj/111Ef/XVWsN1/oq9XMa5iDPdwxdV75LSTclbk4KOv/aIe89KATazOqIjUQF6Ha5tpxXdEs/WsrFUFfD12cVVuxJ4XL37EP911GhGVbsSeHU5bdO+NtHAVBMksoHs6pZuUeW9cWvvlRxukdttwg+Wdkiz8cRy1VzKTM2mbhzEZTp9AYyO1trd6fQWd1xBUv+K4cUNVPGptJubi9rd6lQODVuAwfmXQck1O1Qgh4Hxli7S4WOWqHi/v7reDUqh6OXa84vKNrEPgahYLm7JwR7d0dKNa1g7a4UKrGnQ1EkZeLbpaa1uyIUfiIwCIIgCEbEBjdBEAThxYnAIAiCIBgRgUEo0O7uvsKurn8QuuaMtbvy0m6tOc+6riu5uzvY2l0RhOcScwxCgZUSHsf8CvNQYYMEDcOPDsCnVRVrdytPHh67xeDWESixw5l01t1pRDF/T2t3S3j9iDkGoXCLPx+BKnsPphYp0cdDrdyjvLt3XBcUANJxJvbCPSv3SBCeTQQGocAq37c+vn66rz1LqKgxrr11O/QS6o5rRYMSdwBo6xdKhd51rNshQXgOMZQkFHiKlAzsXJ2s3Y18oUjJxM7V0drdEF5fYh+DIAiCYETMMQiCIAgvTgQGQRAEwYgIDIIgCIIRERgEQRAEIyIwCIIgCEZEYBAEQRCMiMAgCIIgGBGBQRAEQTAiAoMgCIJgRAQGQRAEwYgIDIIgCIIRERiE19LdPSGkhMU+8/mUsFju77n6CnskCAWHSKInvHZWd1zBkv/K4Uw6C/dXwLdjNaPn7+8LZnnnDaixoW6HEvQ4MMZKPRWEfCeS6AmCOWeyq4Sm48zlNaZ3BbfXBaLOLhAUcSbmVXZNEAoEERiE106fYe44kkFFhwe0mNzK5Pm6kztTzEGBDDUNhtWyQg8FwbrEUJIgCMLrQwwlCYIgCC9OBAZBEATBiAgMgiAIghERGARBEAQjIjAIgiAIRkRgEARBEIyIwCAIgiAYEYFBEARBMCICgyAIgmBEBAZBEATBiAgMgiAIghERGARBEAQjIjAIFqPKyLJ2F4ospfjZChYkAoOQ79QKFT9WXsybzid4z2YjN1acsej5IrZcZKHXt/ztM5UHB0Isei5z7h+4zhSfJfyf1xLCtwRZ9Fy3VpzkR5spzHL+npWV/4daobTo+YTXkwgMQr47PXUfe28HoEFGjNqD+aNvWfR8WwZuIiZOxsNoKVveWWfRc5kz+52znIquyNm4inw/MNii59o7eg9ytR0gIfy2msCpOy16PuH1JAKDkO/S4jONHqcrbS16PuUTF82KrFdfNiQty/D+0pT2Fj2XUmn8/uTxaRY9n/B6EoFByHetpnfA3z4KAClqBg11sOz5xtfDRqLCVqKkzZRmFj2XOZ9M8cRNkoKLJI0R4y37XhsPrcHjmlku9goaTO9u0fMJrydRwU2wCGWanOvLz+FVtzTezQMsfj6NRoNUat3rHK1Gg+QV9CHm5G3iL92j8pBm2LpYNhAJRU6uKriJwCAIgvD6EKU9BUEQhBdX6AJDRnQyJ8asJ2zDOWt3RRAE4ZlCNwRycMwWMqOTrd2VF1bohpLmuX5NYqotoKXvH62pPrKttbskCIJg5OqC43w2SoEGGdWLRfJ7ymBrd+mxojeUpMzIIjHVJvuRhPAd16zaH0EQBHOCd4SjQQbA9VTfQpcFoFAFBlsnewKq2wFgJ1VSf1J7K/dIEATBVOtJTSghTQTgrerh2DhZdn9Lfit0Q0kAsefDcatUCnt3J2t3RRAEwSxFUgbJt2PxbFje2l15kliuKgiCIBgpenMMgiAIguWJwCAIgiAYEYFBEARBMCICgyAIgmBEBAZBEATBiAgMgiAIghERGARBEAQjIjAIgiAIRkRgEARBEIyIwCAIgiAYEYFBEARBMGKTcxO9XOXYEARBEAo3cccgCIIgGBGBQRAEQTAiAoMgCIJgRAQGQRAEwYgIDIIgCIIRERgEQRAEIyIwCIIgCEZEYBAEQRCMiMAgCIIgGPl/y2PDtog8lL8AAAAASUVORK5CYII=\n",
"text/plain": [
"Graphics object consisting of 1536 graphics primitives"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"Fd4.<a> = NumberField(x^4 + 7*x^2 + 13)\n",
"fig = draw_fieldelts_bdd_height(Fd4, 20)\n",
"fig.set_axes_range(xmin=-3, xmax=3, ymin=-3, ymax=3)\n",
"fig.show(axes=False)"
]
},
{
"cell_type": "markdown",
"id": "630f9d8b",
"metadata": {},
"source": [
"For higher degrees, it would probably be necessary to reduce the height bound. But in fact sage uses a sophisticated algorithm to generate points of bounded height, which requires computing the class number of the field. We haven't looked into an alternative, but this prevents us from currently producing high degree visualizations.\n",
"\n",
"We noticed that overlaying different embeddings is confusing. Each individual embedding is natural, but overlaying them obscures the underlying lattice structure. One way around this is to fix an embedding and plotting it. To add some color, we color the point $z$ from red to blue based on the real part of *a different fixed embedding* of $z$."
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "38b8f991",
"metadata": {},
"outputs": [],
"source": [
"def draw_fieldelts_one_embed(F, bd):\n",
" embs = F.embeddings(CC)\n",
" emb = embs[-1]\n",
" emb2 = embs[0]\n",
" pts = list(F.elements_of_bounded_height(bound=bd))\n",
" pts_emb = [emb(pt) for pt in pts]\n",
" disk_sizer = lambda x : 0.02/(x.global_height())\n",
" vis = Graphics()\n",
" for index in range(len(pts_emb)):\n",
" size = disk_sizer(pts[index])\n",
" if size > 0.0001:\n",
" vis += disk( (pts_emb[index].real(),pts_emb[index].imag()),\n",
" size, (0, 2*pi), alpha=1.0,\n",
" color=red.blend(white, emb2(pts[index]).real())\n",
" )\n",
" return vis"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "73782839",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"Graphics object consisting of 760 graphics primitives"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"gauss = draw_fieldelts_one_embed(Fgauss, 20)\n",
"gauss.show(axes=False)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "78d73549",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"Graphics object consisting of 720 graphics primitives"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"eis = draw_fieldelts_one_embed(Feis, 20)\n",
"eis.show(axes=False)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "9cfc84dc",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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AECawAADCBBYAQJjAAgAIE1gAAGECCwAgTGABAIQJLACAMIEFABAmsAAAwgQWAECYwAIACBNYAABhAgsAIExgAQCECSwAgDCBBQAQJrAAAMIEFgBAmMACAAgTWAAAYQILACBMYAEAhAksAIAwgQUAECawAADCBBYAQJjAAgAIE1gAAGECCwAgTGABAIQJLACAMIEFABAmsAAAwgQWAECYwAIACBNYAABhAgsAIExgAQCECSwAgDCBBQAQJrAAAMIEFgBAmMACAAgTWAAAYQILACBMYAEAhAksAIAwgQUAECawAADCBBYAQJjAAgAIE1gAAGECCwAgTGABAIQJLACAMIEFABAmsAAAwgQWAECYwAIACBNYAABhAgsAIExgAQCECSwAgDCBBQAQJrAAAMIEFgBAmMACAAgTWAAAYQILACBMYAEAhAksAIAwgQUAECawAADCBBYAQJjAAgAIE1gAAGECCwAgTGABAIQJLACAMIEFABAmsAAAwgQWAECYwAIACBNYAABhAgsAIExgAQCECSwAgDCBBQAQJrAAAMIEFgBAmMACAAgTWAAAYQILACBMYAEAhAksAIAwgQUAECawAADCBBYAQJjAAgAIE1gAAGECCwAgTGABAIQJLACAMIEFABAmsAAAwgQWAECYwAIACBNYAABhAgsAIExgAQCECSwAgDCBBQAQJrAAAMIEFgBAmMACAAgTWAAAYQILACBMYAEAhAksAIAwgQUAECawAADCBBYAQJjAAgAIE1gAAGECCwAgTGABAIQJLACAsP8HtQsdGiIe4VsAAAAASUVORK5CYII=\n",
"text/plain": [
"Graphics object consisting of 491 graphics primitives"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = draw_fieldelts_one_embed(Frq, 20)\n",
"fig.set_axes_range(xmin=-5, xmax=5, ymin=-1, ymax=1) # it complains that ymin, ymax are both 0 otherwise.\n",
"fig.show(axes=False, fig_tight=False) # similarly, with fig_tight it has no height."
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "54c82740",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"Graphics object consisting of 660 graphics primitives"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = draw_fieldelts_one_embed(Fd3, 20)\n",
"fig.set_axes_range(xmin=-3, xmax=3, ymin=-3, ymax=3)\n",
"fig.show(axes=False)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "a2ed9142",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"Graphics object consisting of 384 graphics primitives"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = draw_fieldelts_one_embed(Fd4, 20)\n",
"fig.set_axes_range(xmin=-3, xmax=3, ymin=-3, ymax=3)\n",
"fig.show(axes=False)"
]
},
{
"cell_type": "markdown",
"id": "58b65ca4",
"metadata": {},
"source": [
"These aren't particularly successful, but it might be reasonable to tweak these."
]
},
{
"cell_type": "markdown",
"id": "e21ab08c",
"metadata": {},
"source": [
"## Choose linear combination of embeddings ##\n",
"\n",
"Choose a linear combination of embeddings. (Below, we choose a random linear combination with coefficients in $(0, 1)$). For each point $z \\in O_K$, we plot $\\sum_i c_i \\sigma_i(z)$. This doesn't use color. Disks are sized to be inversely proportional to the square of the global height of $z$. We plot all points in the ring of integers"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "6dee565a",
"metadata": {},
"outputs": [],
"source": [
"import itertools\n",
"import matplotlib as mpl\n",
"import matplotlib.pyplot as plt\n",
"\n",
"cm = mpl.colormaps.get('inferno')"
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "d090b449",
"metadata": {},
"outputs": [],
"source": [
"def random_list(num):\n",
" ret = []\n",
" for idx in range(num):\n",
" ret.append(random())\n",
" return ret\n",
"\n",
"def linear_comb_embed_viz(K, size=10, decexp=2):\n",
" pts = list(K.elements_of_bounded_height(bound=size))\n",
" all_embeds = K.embeddings(CC)\n",
" \n",
" xs = []\n",
" ys = []\n",
" ss = []\n",
" \n",
" coeffs = random_list(len(all_embeds))\n",
" for pt in pts:\n",
" z = 0\n",
" for idx, embed in enumerate(all_embeds):\n",
" z += coeffs[idx] * embed(pt)\n",
" x = real(z)\n",
" y = imag(z)\n",
" xs.append(x)\n",
" ys.append(y)\n",
" ss.append(float(20. / (pt.global_height()^decexp + 1)))\n",
" \n",
" fig = plt.figure(figsize=[8, 8])\n",
" ax = fig.subplots(1, 1)\n",
" ax.set_frame_on(False)\n",
" ax.set_xticks([])\n",
" ax.set_yticks([])\n",
" ax.scatter(xs, ys, c='k', s=ss)\n",
" \n",
" return fig"
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "e26de522",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = linear_comb_embed_viz(Fgauss, 10)"
]
},
{
"cell_type": "code",
"execution_count": 16,
"id": "f388156e",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = linear_comb_embed_viz(Feis, 10)"
]
},
{
"cell_type": "code",
"execution_count": 17,
"id": "736399ef",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = linear_comb_embed_viz(Frq, 10)"
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "19869be6",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = linear_comb_embed_viz(Fd4, 10)"
]
},
{
"cell_type": "markdown",
"id": "3e96fbc0",
"metadata": {},
"source": [
"We print two versions of the same number field to note that there is a choice of randomness here. This is similar to choosing a random projection of the \"simple\" points on the lattice to the complex numbers."
]
},
{
"cell_type": "code",
"execution_count": 19,
"id": "45e299e9",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = linear_comb_embed_viz(Fd4, 10)"
]
},
{
"cell_type": "code",
"execution_count": 20,
"id": "a8c97de6",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"Kd8.<a> = NumberField(x^8 + 7*x^3 - 2*x + 3)\n",
"fig = linear_comb_embed_viz(Kd8, 75)"
]
},
{
"cell_type": "code",
"execution_count": 21,
"id": "7d1b451f",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"Kd3_2.<a> = NumberField(x^3 - 2*x + 3)\n",
"fig = linear_comb_embed_viz(Kd3_2, 10)"
]
},
{
"cell_type": "markdown",
"id": "7844fa85",
"metadata": {},
"source": [
"## Ring of integers ##\n",
"\n",
"For the remaining visualizations, we restrict our attention to the lattice of the ring of integers.\n",
"\n",
"First, we produce all linear combinations with coefficients bounded by $B$ of a basis for the ring of integers. We currently choose the basis given by sage --- more generally, we would use the basis from the LMFDB. We plot each embedding of each point, and we color the embedded point via a colormap (below, we use `matplotlib`'s *inferno* colormap) based on the index of the embedding in the list of embeddings."
]
},
{
"cell_type": "code",
"execution_count": 22,
"id": "62deb931",
"metadata": {},
"outputs": [],
"source": [
"def make_linear_combinations(basis, coefflimit=5):\n",
" for prod in itertools.product(\n",
" range(-coefflimit, coefflimit+1),\n",
" repeat=len(basis)\n",
" ):\n",
" yield sum((coeff*basis_elem for coeff, basis_elem in zip(prod, basis)))\n",
"\n",
"\n",
"def makepts(elems, embedding):\n",
" pts = []\n",
" for elem in elems:\n",
" z = embedding(elem)\n",
" x = real(z)\n",
" y = imag(z)\n",
" s = 100./abs(elem.norm())\n",
" pts.append((x, y, s))\n",
" return pts"
]
},
{
"cell_type": "code",
"execution_count": 23,
"id": "8a49d53b",
"metadata": {},
"outputs": [],
"source": [
"def ring_of_int_viz(K, climit=5):\n",
" Ri = K.ring_of_integers()\n",
" basis = Ri.basis()\n",
" embeds = K.embeddings(CC)\n",
" \n",
" combos = list(make_linear_combinations(basis, climit))\n",
" \n",
" fig = plt.figure(figsize=[8, 8])\n",
" ax = fig.subplots(1, 1)\n",
" \n",
" for idx, embed in enumerate(embeds):\n",
" pts = makepts(combos, embed)\n",
" xs, ys, ss = list(zip(*pts))\n",
" color = cm(idx * 1.0 / len(embeds))\n",
" ax.scatter(xs, ys, s=ss, color=color)\n",
" \n",
" ax.set_frame_on(False)\n",
" ax.set_xticks([])\n",
" ax.set_yticks([])\n",
" return fig"
]
},
{
"cell_type": "code",
"execution_count": 24,
"id": "d918596d",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = ring_of_int_viz(Fgauss, 8)"
]
},
{
"cell_type": "code",
"execution_count": 25,
"id": "1671924a",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = ring_of_int_viz(Feis, 8)"
]
},
{
"cell_type": "code",
"execution_count": 26,
"id": "d75dafa0",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = ring_of_int_viz(Frq, 8)"
]
},
{
"cell_type": "code",
"execution_count": 27,
"id": "7cac7693",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = ring_of_int_viz(Fd3, 8)"
]
},
{
"cell_type": "code",
"execution_count": 28,
"id": "a9e1d18f",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(-5.0, 5.0)"
]
},
"execution_count": 28,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = ring_of_int_viz(Fd4, 5)\n",
"ax = fig.axes[0]\n",
"ax.set_xlim(left=-5, right=5)\n",
"ax.set_ylim(bottom=-5, top=5)"
]
},
{
"cell_type": "code",
"execution_count": 29,
"id": "696cb23c",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(-10.0, 10.0)"
]
},
"execution_count": 29,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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